pythia8-8.1.86.orig/0000755000175000017500000000000012357554225012351 5ustar sunsunpythia8-8.1.86.orig/Makefile.msc0000644000175000017500000001225212357054745014576 0ustar sunsun# Makefile.msc for Pythia8 on Win32/NMAKE # Author: Bertrand Bellenot, 02/05/2007, 04/11/2009 !IF "$(CFG)" == "" CFG = Win32 Release !MESSAGE No configuration specified. Defaulting to Win32 Release. !ENDIF !IF "$(CFG)" != "Win32 Release" && "$(CFG)" != "Win32 Debug" !MESSAGE Invalid configuration "$(CFG)" specified. !MESSAGE You can specify a configuration when running NMAKE !MESSAGE by defining the macro CFG on the command line. For example: !MESSAGE !MESSAGE NMAKE /f "Makefile.msc" CFG="Win32 Debug" !MESSAGE !MESSAGE Possible choices for configuration are: !MESSAGE !MESSAGE "Win32 Release" (based on "Win32 (x86) Static Library") !MESSAGE "Win32 Debug" (based on "Win32 (x86) Static Library") !MESSAGE !ERROR An invalid configuration is specified. !ENDIF !IF "$(OS)" == "Windows_NT" NULL= !ELSE NULL=nul !ENDIF OutPutOpt = -out: # Win32 system with Microsoft Visual C/C++ !include CC = $(cc) CXX = $(cc) CXXFLAGS = -EHsc -nologo -GR -DWIN32 -W3 -FIiso646.h \ -DVISUAL_CPLUSPLUS -D_WINDOWS -Iinclude LD = $(link) !IF "$(CFG)" == "Win32 Release" CXXOPT = -O2 -MD -DNDEBUG LDOPT = OUTDIR = ./Release !ELSEIF "$(CFG)" == "Win32 Debug" CXXOPT = -Z7 -MDd LDOPT = OUTDIR = ./Debug !ENDIF # Check if nmake version is 8.xx or 9.xx !if ([nmake /? 2>&1 | findstr /c:"Version 8\." > nul ] == 0) || \ ([nmake /? 2>&1 | findstr /c:"Version 9\." > nul ] == 0) MT_EXE = mt -nologo -manifest $@.manifest -outputresource:$@;1 MT_DLL = mt -nologo -manifest $@.manifest -outputresource:$@;2 EXTRAFLAGS = -D_CRT_SECURE_NO_DEPRECATE !else MT_EXE = MT_DLL = EXTRAFLAGS = -G5 !endif ####### Files SRCDIR = src DUMDIR = lhapdfdummy INCDIR = include LIBDIR = lib LIBRARY = libPythia8 LIBDLL = $(LIBDIR)/$(LIBRARY).dll LIBLIB = $(LIBDIR)/$(LIBRARY).lib LDFLAGS = -lib /nologo /out:$(LIBLIB) OBJS = $(OUTDIR)/Analysis.obj \ $(OUTDIR)/Basics.obj \ $(OUTDIR)/BeamParticle.obj \ $(OUTDIR)/BeamRemnants.obj \ $(OUTDIR)/BeamShape.obj \ $(OUTDIR)/BoseEinstein.obj \ $(OUTDIR)/Event.obj \ $(OUTDIR)/FJcore.obj \ $(OUTDIR)/FragmentationFlavZpT.obj \ $(OUTDIR)/FragmentationSystems.obj \ $(OUTDIR)/HadronLevel.obj \ $(OUTDIR)/HadronScatter.obj \ $(OUTDIR)/HelicityBasics.obj \ $(OUTDIR)/HelicityMatrixElements.obj \ $(OUTDIR)/HiddenValleyFragmentation.obj \ $(OUTDIR)/History.obj \ $(OUTDIR)/Info.obj \ $(OUTDIR)/LesHouches.obj \ $(OUTDIR)/Merging.obj \ $(OUTDIR)/MergingHooks.obj \ $(OUTDIR)/MiniStringFragmentation.obj \ $(OUTDIR)/MultipartonInteractions.obj \ $(OUTDIR)/ParticleData.obj \ $(OUTDIR)/ParticleDecays.obj \ $(OUTDIR)/PartonDistributions.obj \ $(OUTDIR)/PartonLevel.obj \ $(OUTDIR)/PartonSystems.obj \ $(OUTDIR)/PhaseSpace.obj \ $(OUTDIR)/ProcessContainer.obj \ $(OUTDIR)/ProcessLevel.obj \ $(OUTDIR)/Pythia.obj \ $(OUTDIR)/PythiaStdlib.obj \ $(OUTDIR)/ResonanceDecays.obj \ $(OUTDIR)/ResonanceWidths.obj \ $(OUTDIR)/RHadrons.obj \ $(OUTDIR)/Settings.obj \ $(OUTDIR)/SigmaCompositeness.obj \ $(OUTDIR)/SigmaEW.obj \ $(OUTDIR)/SigmaExtraDim.obj \ $(OUTDIR)/SigmaGeneric.obj \ $(OUTDIR)/SigmaHiggs.obj \ $(OUTDIR)/SigmaLeftRightSym.obj \ $(OUTDIR)/SigmaLeptoquark.obj \ $(OUTDIR)/SigmaNewGaugeBosons.obj \ $(OUTDIR)/SigmaOnia.obj \ $(OUTDIR)/SigmaProcess.obj \ $(OUTDIR)/SigmaQCD.obj \ $(OUTDIR)/SigmaSUSY.obj \ $(OUTDIR)/SigmaTotal.obj \ $(OUTDIR)/SLHAinterface.obj \ $(OUTDIR)/SpaceShower.obj \ $(OUTDIR)/StandardModel.obj \ $(OUTDIR)/StringFragmentation.obj \ $(OUTDIR)/SusyCouplings.obj \ $(OUTDIR)/SusyLesHouches.obj \ $(OUTDIR)/SusyResonanceWidths.obj \ $(OUTDIR)/TauDecays.obj \ $(OUTDIR)/TimeShower.obj \ $(OUTDIR)/UserHooks.obj \ $(OUTDIR)/WeakShowerMEs.obj \ # If you link to HepMC you also need Pythia8ToHepMC # $(OUTDIR)/Pythia8ToHepMC.obj \ # If you link to LHAPDF you don't want the last line $(OUTDIR)/LHAPDFDummy.obj LIBS : $(OUTDIR) $(LIBDIR) $(BINDIR) $(LIBLIB) .PHONY: $(LIBS) all all: $(LIBS) "$(OUTDIR)" : @if not exist "$(OUTDIR)/$(NULL)" mkdir "$(OUTDIR)" "$(LIBDIR)" : @if not exist "$(LIBDIR)/$(NULL)" mkdir "$(LIBDIR)" $(LIBLIB) : $(OBJS) $(LD) $(LDFLAGS) $(LDOPT) @<< $(OBJS) << .SUFFIXES: .h .cc .obj {$(INCDIR)}.h{$(OUTDIR)}.obj: $(CXX) $(CXXFLAGS) $(EXTRAFLAGS) $(CXXOPT) /Fo"$(OUTDIR)/" -c $(SRCDIR)\$(@B).cc {$(SRCDIR)}.cc{$(OUTDIR)}.obj: $(CXX) $(CXXFLAGS) $(EXTRAFLAGS) $(CXXOPT) /Fo"$(OUTDIR)/" -c $< {$(DUMDIR)}.cc{$(OUTDIR)}.obj: $(CXX) $(CXXFLAGS) $(EXTRAFLAGS) $(CXXOPT) /Fo"$(OUTDIR)/" -c $< clean: -@erase /q /s *.obj >nul 2>&1 -@rmdir /q /s Debug >nul 2>&1 -@rmdir /q /s Release >nul 2>&1 distclean: clean -@erase /q "$(LIBDIR)\*.*" >nul 2>&1 -@rmdir /q /s lib >nul 2>&1 pythia8-8.1.86.orig/rootexamples/0000755000175000017500000000000012357054760015072 5ustar sunsunpythia8-8.1.86.orig/rootexamples/tree.cc0000644000175000017500000000272512357054760016346 0ustar sunsun// File: tree.cc // This is a simple test program. // Modified by Rene Brun and Axcel Naumann to put the Pythia::event // into a TTree. // Copyright (C) 2014 Torbjorn Sjostrand // Header file to access Pythia 8 program elements. #include "Pythia8/Pythia.h" // ROOT, for saving Pythia events as trees in a file. #include "TTree.h" #include "TFile.h" using namespace Pythia8; int main() { // Create Pythia instance and set it up to generate hard QCD processes // above pTHat = 20 GeV for pp collisions at 14 TeV. Pythia pythia; pythia.readString("HardQCD:all = on"); pythia.readString("PhaseSpace:pTHatMin = 20."); pythia.readString("Beams:eCM = 14000."); pythia.init(); // Set up the ROOT TFile and TTree. TFile *file = TFile::Open("pytree.root","recreate"); Event *event = &pythia.event; TTree *T = new TTree("T","ev1 Tree"); T->Branch("event",&event); // Begin event loop. Generate event; skip if generation aborted. for (int iEvent = 0; iEvent < 100; ++iEvent) { if (!pythia.next()) continue; // Fill the pythia event into the TTree. // Warning: the files will rapidly become large if all events // are saved. In some cases it may be convenient to do some // processing of events and only save those that appear // interesting for future analyses. T->Fill(); // End event loop. } // Statistics on event generation. pythia.stat(); // Write tree. T->Print(); T->Write(); delete file; // Done. return 0; } pythia8-8.1.86.orig/rootexamples/Makefile0000644000175000017500000000421512357054760016534 0ustar sunsun###################################################################### # Makefile for building Pythia's ROOT examples. # Axel Naumann, 2011-03-03 ###################################################################### # Need this to get SHAREDSUFFIX (e.g. dylib or so) -include ../config.mk # A few variables used in this Makefile: EX := hist tree EXE := $(addsuffix .exe,$(EX)) PYTHIA8 ?= $(PWD)/.. STATICLIB := $(PYTHIA8)/lib/archive/libpythia8.a SHAREDLIB := $(PYTHIA8)/lib/libpythia8.$(SHAREDSUFFIX) DICTCXXFLAGS := -I$(PYTHIA8)/include ROOTCXXFLAGS := $(DICTCXXFLAGS) $(shell root-config --cflags) # Libraries to include if GZIP support is enabled ifeq (x$(ENABLEGZIP),xyes) LIBGZIP=-L$(BOOSTLIBLOCATION) -lboost_iostreams -L$(ZLIBLOCATION) -lz endif # LDFLAGS1 for static library, LDFLAGS2 for shared library LDFLAGS1 := $(shell root-config --ldflags --glibs) \ -L$(PYTHIA8)/lib/archive -lpythia8 -llhapdfdummy $(LIBGZIP) LDFLAGS2 := $(shell root-config --ldflags --glibs) \ -L$(PYTHIA8)/lib -lpythia8 -llhapdfdummy $(LIBGZIP) # Default target; make examples (but not shared dictionary) all: $(EX) # Rule to build hist example. Needs static PYTHIA 8 library hist: $(STATICLIB) hist.cc $(CXX) $(ROOTCXXFLAGS) $@.cc -o $@.exe $(LDFLAGS1) # Rule to build tree example. Needs dictionary to be built and # static PYTHIA 8 library tree: $(STATICLIB) tree.cc rootcint -f treeDict.cc -c $(DICTCXXFLAGS) pythiaROOT.h pythiaLinkdef.h $(CXX) $(ROOTCXXFLAGS) treeDict.cc $@.cc -o $@.exe $(LDFLAGS1) # Rule to build full dictionary dict: $(SHAREDLIB) rootcint -f pythiaDict.cc -c $(DICTCXXFLAGS) \ -DPYTHIA8_COMPLETE_ROOT_DICTIONARY \ pythiaROOT.h pythiaLinkdef.h $(CXX) -shared -fPIC -o pythiaDict.$(SHAREDSUFFIX) pythiaDict.cc \ -DPYTHIA8_COMPLETE_ROOT_DICTIONARY \ $(ROOTCXXFLAGS) $(LDFLAGS2) # Error messages if PYTHIA libraries don't exist $(STATICLIB): @echo "Error: PYTHIA 8 archive library must be built" @false $(SHAREDLIB): @echo "Error: PYTHIA 8 shared library must be built" @false # Clean up clean: rm -f $(EXE) hist.root pythiaDict.* \ treeDict.cc treeDict.h pytree.root pythia8-8.1.86.orig/rootexamples/pythiaROOT.h0000644000175000017500000000020612357054760017243 0ustar sunsun#ifdef PYTHIA8_COMPLETE_ROOT_DICTIONARY #include "Pythia8/Pythia.h" #else #include "Pythia8/Event.h" #endif using namespace Pythia8; pythia8-8.1.86.orig/rootexamples/hist.cc0000644000175000017500000000372612357054760016360 0ustar sunsun// File: hist.cc // This is a simple test program. // It studies the charged multiplicity distribution at the LHC. // Modified by Rene Brun, Axel Naumann and Bernhard Meirose // to use ROOT for histogramming. // Copyright (C) 2014 Torbjorn Sjostrand // Stdlib header file for input and output. #include // Header file to access Pythia 8 program elements. #include "Pythia8/Pythia.h" // ROOT, for histogramming. #include "TH1.h" // ROOT, for interactive graphics. #include "TVirtualPad.h" #include "TApplication.h" // ROOT, for saving file. #include "TFile.h" using namespace Pythia8; int main(int argc, char* argv[]) { // Create the ROOT application environment. TApplication theApp("hist", &argc, argv); // Create Pythia instance and set it up to generate hard QCD processes // above pTHat = 20 GeV for pp collisions at 14 TeV. Pythia pythia; pythia.readString("HardQCD:all = on"); pythia.readString("PhaseSpace:pTHatMin = 20."); pythia.readString("Beams:eCM = 14000."); pythia.init(); // Create file on which histogram(s) can be saved. TFile* outFile = new TFile("hist.root", "RECREATE"); // Book histogram. TH1F *mult = new TH1F("mult","charged multiplicity", 100, -0.5, 799.5); // Begin event loop. Generate event; skip if generation aborted. for (int iEvent = 0; iEvent < 100; ++iEvent) { if (!pythia.next()) continue; // Find number of all final charged particles. int nCharged = 0; for (int i = 0; i < pythia.event.size(); ++i) if (pythia.event[i].isFinal() && pythia.event[i].isCharged()) ++nCharged; // Fill charged multiplicity in histogram. End event loop. mult->Fill( nCharged ); } // Statistics on event generation. pythia.stat(); // Show histogram. Possibility to close it. mult->Draw(); std::cout << "\nDouble click on the histogram window to quit.\n"; gPad->WaitPrimitive(); // Save histogram on file and close file. mult->Write(); delete outFile; // Done. return 0; } pythia8-8.1.86.orig/rootexamples/pythiaLinkdef.h0000644000175000017500000000424512357054760020043 0ustar sunsun#ifdef __CINT__ #pragma link off all globals; #pragma link off all classes; #pragma link off all functions; #pragma link C++ namespace Pythia8; #pragma link C++ class Pythia8::Event+; #pragma link C++ class Pythia8::Particle+; #pragma link C++ class Pythia8::Junction+; #pragma link C++ class Pythia8::Vec4+; #ifdef PYTHIA8_COMPLETE_ROOT_DICTIONARY // For tree.cc, none of the following (generator-internal) // classes is needed. Thus excluded from the default Linkdef.h. #pragma link C++ class Pythia8::ParticleData+; #pragma link C++ class Pythia8::ParticleDataEntry+; #pragma link C++ class Pythia8::DecayChannel+; #pragma link C++ class Pythia8::Pythia+; #pragma link C++ class Pythia8::CoupSM+; #pragma link C++ class Pythia8::Couplings+; #pragma link C++ class Pythia8::InBeam+; #pragma link C++ class Pythia8::InPair+; #pragma link C++ class Pythia8::AlphaStrong+; #pragma link C++ class Pythia8::AlphaEM+; #pragma link C++ class Pythia8::Info+; #pragma link C++ class Pythia8::Rndm+; #pragma link C++ class Pythia8::RndmEngine+; #pragma link C++ class Pythia8::Settings+; #pragma link C++ class Pythia8::ResonanceTop+; #pragma link C++ class Pythia8::ResonanceGeneric+; #pragma link C++ class Pythia8::ResonanceGmZ+; #pragma link C++ class Pythia8::ResonanceW+; #pragma link C++ class Pythia8::ResonanceFour+; #pragma link C++ class Pythia8::ResonanceH+; #pragma link C++ class Pythia8::ResonanceHchg+; #pragma link C++ class Pythia8::ResonanceZprime+; #pragma link C++ class Pythia8::ResonanceWprime+; #pragma link C++ class Pythia8::ResonanceRhorizontal+; #pragma link C++ class Pythia8::ResonanceExcited+; #pragma link C++ class Pythia8::ResonanceGraviton+; #pragma link C++ class Pythia8::ResonanceLeptoquark+; #pragma link C++ class Pythia8::ResonanceNuRight+; #pragma link C++ class Pythia8::ResonanceZRight+; #pragma link C++ class Pythia8::ResonanceWRight+; #pragma link C++ class Pythia8::ResonanceHchgchgLeft+; #pragma link C++ class Pythia8::ResonanceHchgchgRight+; #pragma link C++ class Pythia8::ResonanceWidths+; #pragma link C++ class Pythia8::SigmaProcess+; #pragma link C++ class std::vector+; #pragma link C++ class std::pair+; #endif #endif pythia8-8.1.86.orig/rootexamples/README0000644000175000017500000000406612357054760015760 0ustar sunsunThis directory contains files contributed by Rene Brun and Axel Naumann, with further input from Bernhard Meirose, which illustrate how ROOT commands can be used inside PYTHIA code. You should read the "ROOT usage" page in the manual to understand the function of the files, and how to set up the environment in which they can be used. The practical steps to be taken, assuming you use the bash shell, are: 1) Add to your ".bashrc" file (in your home directory) the following lines: ######################################################## # Root path and libraries: source /Path_to_ROOT/root/bin/thisroot.sh # Pythia 8 path and libraries: export PYTHIA8=/Path_to_Pythia8/pythia81xx/ export LD_LIBRARY_PATH=$PYTHIA8/lib:$LD_LIBRARY_PATH ######################################################## where xx is the Pythia 8.1 subversion. As usual type "source .bashrc" after the changes. 2) Before compilation, configure Pythia 8 if you want to use shared libraries: ./configure --enable-shared 3) "make hist" builds an application for histogramming Pythia output (alternatively "make" builds and runs all examples). 4) "./hist" runs the example showing the Pythia output histogram in Root format. 5) You can correspondingly try the "tree" program, which illustrates how Pythia event records can be saved by Root. Needless to say, files can become quite large when many events are generated. 6) When upgrading to a new Pythia subversion, and you want to use a shared library, you should re-generate pythiaDict.cxx to reflect the new classes: cd NewPythiaVersion/rootexamples make dict and use the generated pythiaDict.h and pythiaDict.cxx for building your program. 7) For FastJet use, add the following lines to the Makefile: CXXFLAGS += -I/Path_to_FastJet/include -L$(PYTHIA8)/lib -lpythia8 -llhapdfdummy -L/Path_to_FastJet/lib -lfastjet where "Path_to_FastJet" is the directory where FastJet was installed. Finally, add to your ".bashrc" file the following line: export LD_LIBRARY_PATH=//Path_to_FastJet/lib:LD_LIBRARY_PATH and type "source .bashrc" after the changes. pythia8-8.1.86.orig/lhapdfdummy/0000755000175000017500000000000012357054745014665 5ustar sunsunpythia8-8.1.86.orig/lhapdfdummy/LHAPDFDummy.cc0000644000175000017500000000126512357054745017152 0ustar sunsun// LHAPDFDummy.cc is a part of the PYTHIA event generator. // Copyright (C) 2014 Torbjorn Sjostrand. // PYTHIA is licenced under the GNU GPL version 2, see COPYING for details. // Please respect the MCnet Guidelines, see GUIDELINES for details. // Dummy routines to link when LHAPDF not linked. extern "C" { void initpdfsetm_(int& nSet, const char*, int) {nSet = -1;} void initpdfsetbynamem_(int& nSet, const char*, int) {nSet = -1;} void initpdfm_(int& nSet, int&) {nSet = -1;} void evolvepdfm_(int& nSet, double&, double&, double*) {nSet = -1;} void evolvepdfphotonm_(int& nSet, double&, double&, double*, double&) {nSet = -1;} void setlhaparm_(const char*, int) {} } pythia8-8.1.86.orig/htmldoc/0000755000175000017500000000000012357553611014001 5ustar sunsunpythia8-8.1.86.orig/htmldoc/MatchingAndMerging.html0000644000175000017500000001737612357553536020401 0ustar sunsun Matching and Merging

Matching and Merging

Starting from a Born-level leading-order (LO) process, higher orders can be included in various ways. The three basic approaches would be
  • A formal order-by-order perturbative calculation, in each order higher including graphs both with one particle more in the final state and with one loop more in the intermediate state. This is accurate to the order of the calculation, but gives no hint of event structures beyond that, with more particles in the final state. Today next-to-leading order (NLO) is standard, while next-to-next-to-leading order (NNLO) is coming. This approach thus is limited to few orders, and also breaks down in soft and collinear regions, which makes it unsuitable for matching to hadronization.
  • Real emissions to several higher orders, but neglecting the virtual/loop corrections that should go with it at any given order. Thereby it is possible to allow for topologies with a large and varying number of partons, at the prize of not being accurate to any particular order. The approach also opens up for doublecounting, and as above breaks down in soft and colliner regions.
  • The parton shower provides an approximation to higher orders, both real and virtual contributions for the emission of arbitrarily many particles. As such it is less accurate than either of the two above, at least for topologies of well separated partons, but it contains a physically sensible behaviour in the soft and collinear limits, and therefore matches well onto the hadronization stage.
Given the pros and cons, much of the effort in recent years has involved the development of different prescriptions to combine the methods above in various ways.

The common traits of all combination methods are that matrix elements are used to describe the production of hard and well separated particles, and parton showers for the production of soft or collinear particles. What differs between the various approaches that have been proposed are which matrix elements are being used, how doublecounting is avoided, and how the transition from the hard to the soft regime is handled. These combination methods are typically referred to as "matching" or "merging" algorithms. There is some confusion about the distinction between the two terms, and so we leave it to the inventor/implementor of a particular scheme to choose and motivate the name given to that scheme.

PYTHIA comes with methods, to be described next, that implement or support several different kind of algorithms. The field is open-ended, however: any external program can feed in Les Houches events that PYTHIA subsequently showers, adds multiparton interactions to, and hadronizes. These events afterwards can be reweighted and combined in any desired way. The maximum pT of the shower evolution is set by the Les Houches scale, on the one hand, and by the values of the SpaceShower:pTmaxMatch, TimeShower:pTmaxMatch and other parton-shower settings, on the other. Typically it is not possible to achieve perfect matching this way, given that the PYTHIA pT evolution variables are not likely to agree with the variables used for cuts in the external program. Often one can get close enough with simple means but, for an improved matching, User Hooks can be inserted to control the steps taken on the way, e.g. to veto those parton shower branchings that would doublecount emissions included in the matrix elements.

Zooming in from the "anything goes" perspective, the list of relevent approaches actively supported is as follows.

  • For many/most resonance decays the first branching in the shower is merged with first-order matrix elements [Ben87, Nor01]. This means that the emission rate is accurate to NLO, similarly to the POWHEG strategy (see below), but built into the timelike showers. The angular orientation of the event after the first emission is only handled by the parton shower kinematics, however. Needless to say, this formalism is precisely what is tested by Z^0 decays at LEP1, and it is known to do a pretty good job there.
  • Also the spacelike showers contain a correction to first-order matrix elements, but only for the one-body-final-state processes q qbar → gamma^*/Z^0/W^+-/h^0/H^0/A0/Z'0/W'+-/R0 [Miu99] and g g → h^0/H^0/A0, and only to leading order. That is, it is equivalent to the POWHEG formalism for the real emission, but the prefactor "cross section normalization" is LO rather than NLO. Therefore this framework is less relevant, and has been superseded the following ones.
  • The POWHEG strategy [Nas04] provides a cross section accurate to NLO. The hardest emission is constructed with unit probability, based on the ratio of the real-emission matrix element to the Born-level cross section, and with a Sudakov factor derived from this ratio, i.e. the philosophy introduced in [Ben87].
    While POWHEG is a generic strategy, the POWHEG BOX [Ali10] is an explicit framework, within which several processes are available. The code required for merging the PYTHIA showers with POWHEG input can be found in examples/main31, and is further described on a separate page.
  • The other traditional approach for NLO calculations is the MC@NLO one [Fri02]. In it the shower emission probability, without its Sudakov factor, is subtracted from the real-emission matrix element to regularize divergences. It therefore requires a analytic knowledge of the way the shower populates phase space. Currently there is no MC@NLO implementation for PYTHIA 8, but one is in preparation by Paolo Torrielli and Stefano Frixione, for the aMC@NLO program [Fre11]. The global-recoil option of the PYTHIA final-state shower has been constructed in anticipation of its use for the above-mentioned subtraction.
  • Multi-jet merging in the CKKW-L approach [Lon01] is directly available. Its implementation, relevant parameters and test programs are documented on a separate page.
  • Multi-jet matching in the MLM approach [Man02, Man07] is also available, either based on the ALPGEN or on the Madgraph variant, and with input events either from ALPGEN or from Madgraph. For details see separate page.
  • Unitarised matrix element + parton shower merging (UMEPS) is directly available. Its implementation, relevant parameters and test programs are documented on a separate page.
  • Next-to-leading order multi-jet merging (in the NL3 and UNLOPS approaches) is directly available. Its implementation, relevant parameters and test programs are documented on a separate page.
pythia8-8.1.86.orig/htmldoc/NewGaugeBosonProcesses.html0000644000175000017500000003777712357553535021313 0ustar sunsun New-Gauge-Boson Processes

New-Gauge-Boson Processes

This page contains the production of new Z'^0 and W'^+- gauge bosons, e.g. within the context of a new U(1) or SU(2) gauge group, and also a (rather speculative) horizontal gauge boson R^0. Left-right-symmetry scenarios also contain new gauge bosons, but are described separately.

Z'^0

This group only contains one subprocess, with the full gamma^*/Z^0/Z'^0 interference structure for couplings to fermion pairs. It is possible to pick only a subset, e.g, only the pure Z'^0 piece. No higher-order processes are available explicitly, but the ISR showers contain automatic matching to the Z'^0 + 1 jet matrix elements, as for the corresponding gamma^*/Z^0 process.

flag  NewGaugeBoson:ffbar2gmZZprime   (default = off)
Scattering f fbar →Z'^0. Code 3001.

mode  Zprime:gmZmode   (default = 0; minimum = 0; maximum = 6)
Choice of full gamma^*/Z^0/Z'^0 structure or not in the above process. Note that, with the Z'^0 part switched off, this process is reduced to what already exists among electroweak processes, so those options are here only for crosschecks.
option 0 : full gamma^*/Z^0/Z'^0 structure, with interference included.
option 1 : only pure gamma^* contribution.
option 2 : only pure Z^0 contribution.
option 3 : only pure Z'^0 contribution.
option 4 : only the gamma^*/Z^0 contribution, including interference.
option 5 : only the gamma^*/Z'^0 contribution, including interference.
option 6 : only the Z^0/Z'^0 contribution, including interference.
Note: irrespective of the option used, the particle produced will always be assigned code 32 for Z'^0, and open decay channels is purely dictated by what is set for the Z'^0.

The couplings of the Z'^0 to quarks and leptons can either be assumed universal, i.e. generation-independent, or not. In the former case eight numbers parametrize the vector and axial couplings of down-type quarks, up-type quarks, leptons and neutrinos, respectively. Depending on your assumed neutrino nature you may want to restrict your freedom in that sector, but no limitations are enforced by the program. The default corresponds to the same couplings as that of the Standard Model Z^0, with axial couplings a_f = +-1 and vector couplings v_f = a_f - 4 e_f sin^2(theta_W), with sin^2(theta_W) = 0.23. Without universality the same eight numbers have to be set separately also for the second and the third generation. The choice of fixed axial and vector couplings implies a resonance width that increases linearly with the Z'^0 mass.

By a suitable choice of the parameters, it is possible to simulate just about any imaginable Z'^0 scenario, with full interference effects in cross sections and decay angular distributions and generation-dependent couplings; the default values should mainly be viewed as placeholders. The conversion from the coupling conventions in a set of different Z'^0 models in the literature to those used in PYTHIA is described in [Cio08].

flag  Zprime:universality   (default = on)
If on then you need only set the first-generation couplings below, and these are automatically also used for the second and third generation. If off, then couplings can be chosen separately for each generation.

Here are the couplings always valid for the first generation, and normally also for the second and third by trivial analogy:

parm  Zprime:vd   (default = -0.693)
vector coupling of d quarks.

parm  Zprime:ad   (default = -1.)
axial coupling of d quarks.

parm  Zprime:vu   (default = 0.387)
vector coupling of u quarks.

parm  Zprime:au   (default = 1.)
axial coupling of u quarks.

parm  Zprime:ve   (default = -0.08)
vector coupling of e leptons.

parm  Zprime:ae   (default = -1.)
axial coupling of e leptons.

parm  Zprime:vnue   (default = 1.)
vector coupling of nu_e neutrinos.

parm  Zprime:anue   (default = 1.)
axial coupling of nu_e neutrinos.

Here are the further couplings that are specific for a scenario with Zprime:universality switched off:

parm  Zprime:vs   (default = -0.693)
vector coupling of s quarks.

parm  Zprime:as   (default = -1.)
axial coupling of s quarks.

parm  Zprime:vc   (default = 0.387)
vector coupling of c quarks.

parm  Zprime:ac   (default = 1.)
axial coupling of c quarks.

parm  Zprime:vmu   (default = -0.08)
vector coupling of mu leptons.

parm  Zprime:amu   (default = -1.)
axial coupling of mu leptons.

parm  Zprime:vnumu   (default = 1.)
vector coupling of nu_mu neutrinos.

parm  Zprime:anumu   (default = 1.)
axial coupling of nu_mu neutrinos.

parm  Zprime:vb   (default = -0.693)
vector coupling of b quarks.

parm  Zprime:ab   (default = -1.)
axial coupling of b quarks.

parm  Zprime:vt   (default = 0.387)
vector coupling of t quarks.

parm  Zprime:at   (default = 1.)
axial coupling of t quarks.

parm  Zprime:vtau   (default = -0.08)
vector coupling of tau leptons.

parm  Zprime:atau   (default = -1.)
axial coupling of tau leptons.

parm  Zprime:vnutau   (default = 1.)
vector coupling of nu_tau neutrinos.

parm  Zprime:anutau   (default = 1.)
axial coupling of nu_tau neutrinos.

The coupling to the decay channel Z'^0 → W^+ W^- is more model-dependent. By default it is therefore off, but can be switched on as follows. Furthermore, we have left some amount of freedom in the choice of decay angular correlations in this channel, but obviously alternative shapes could be imagined.

parm  Zprime:coup2WW   (default = 0.; minimum = 0.)
the coupling Z'^0 → W^+ W^- is taken to be this number times m_W^2 / m_Z'^2 times the Z^0 → W^+ W^- coupling. Thus a unit value corresponds to the Z^0 → W^+ W^- coupling, scaled down by a factor m_W^2 / m_Z'^2, and gives a Z'^0 partial width into this channel that again increases linearly. If you cancel this behaviour, by letting Zprime:coup2WW be proportional to m_Z'^2 / m_W^2, you instead obtain a partial width that goes like the fifth power of the Z'^0 mass. These two extremes correspond to the "extended gauge model" and the "reference model", respectively, of [Alt89]. Note that this channel only includes the pure Z' part, while f fbar → gamma^*/Z^*0 → W^+ W^- is available as a separate electroweak process.

parm  Zprime:anglesWW   (default = 0.; minimum = 0.; maximum = 1.)
in the decay chain Z'^0 → W^+ W^- →f_1 fbar_2 f_3 fbar_4 the decay angular distributions is taken to be a mixture of two possible shapes. This parameter gives the fraction that is distributed as in Higgs h^0 → W^+ W^- (longitudinal bosons), with the remainder (by default all) is taken to be the same as for Z^0 → W^+ W^- (a mixture of transverse and longitudinal bosons).

A massive Z'^0 is also likely to decay into Higgs bosons and potentially into other now unknown particles. Such possibilities clearly are quite model-dependent, and have not been included for now.

W'^+-

The W'^+- implementation is less ambitious than the Z'^0. Specifically, while indirect detection of a Z'^0 through its interference contribution is a possible discovery channel in lepton colliders, there is no equally compelling case for W^+-/W'^+- interference effects being of importance for discovery, and such interference has therefore not been implemented for now. Related to this, a Z'^0 could appear on its own in a new U(1) group, while W'^+- would have to sit in a SU(2) group and thus have a Z'^0 partner that is likely to be found first. Only one process is implemented but, like for the W^+-, the ISR showers contain automatic matching to the W'^+- + 1 jet matrix elements.

flag  NewGaugeBoson:ffbar2Wprime   (default = off)
Scattering f fbar' → W'^+-. Code 3021.

The couplings of the W'^+- are here assumed universal, i.e. the same for all generations. One may set vector and axial couplings freely, separately for the q qbar' and the l nu_l decay channels. The defaults correspond to the V - A structure and normalization of the Standard Model W^+-, but can be changed to simulate a wide selection of models. One limitation is that, for simplicity, the same Cabibbo--Kobayashi--Maskawa quark mixing matrix is assumed as for the standard W^+-. Depending on your assumed neutrino nature you may want to restrict your freedom in the lepton sector, but no limitations are enforced by the program.

parm  Wprime:vq   (default = 1.)
vector coupling of quarks.

parm  Wprime:aq   (default = -1.)
axial coupling of quarks.

parm  Wprime:vl   (default = 1.)
vector coupling of leptons.

parm  Wprime:al   (default = -1.)
axial coupling of leptons.

The coupling to the decay channel W'^+- → W^+- Z^0 is more model-dependent, like for Z'^0 → W^+ W^- described above. By default it is therefore off, but can be switched on as follows. Furthermore, we have left some amount of freedom in the choice of decay angular correlations in this channel, but obviously alternative shapes could be imagined.

parm  Wprime:coup2WZ   (default = 0.; minimum = 0.)
the coupling W'^0 → W^+- Z^0 is taken to be this number times m_W^2 / m_W'^2 times the W^+- → W^+- Z^0 coupling. Thus a unit value corresponds to the W^+- → W^+- Z^0 coupling, scaled down by a factor m_W^2 / m_W'^2, and gives a W'^+- partial width into this channel that increases linearly with the W'^+- mass. If you cancel this behaviour, by letting Wprime:coup2WZ be proportional to m_W'^2 / m_W^2, you instead obtain a partial width that goes like the fifth power of the W'^+- mass. These two extremes correspond to the "extended gauge model" and the "reference model", respectively, of [Alt89].

parm  Wprime:anglesWZ   (default = 0.; minimum = 0.; maximum = 1.)
in the decay chain W'^+- → W^+- Z^0 →f_1 fbar_2 f_3 fbar_4 the decay angular distributions is taken to be a mixture of two possible shapes. This parameter gives the fraction that is distributed as in Higgs H^+- → W^+- Z^0 (longitudinal bosons), with the remainder (by default all) is taken to be the same as for W^+- → W^+- Z^0 (a mixture of transverse and longitudinal bosons).

A massive W'^+- is also likely to decay into Higgs bosons and potentially into other now unknown particles. Such possibilities clearly are quite model-dependent, and have not been included for now.

R^0

The R^0 boson (particle code 41) represents one possible scenario for a horizontal gauge boson, i.e. a gauge boson that couples between the generations, inducing processes like s dbar → R^0 → mu^- e^+. Experimental limits on flavour-changing neutral currents forces such a boson to be fairly heavy. In spite of being neutral the antiparticle is distinct from the particle: one carries a net positive generation number and the other a negative one. This particular model has no new parameters beyond the R^0 mass. Decays are assumed isotropic. For further details see [Ben85].

flag  NewGaugeBoson:ffbar2R0   (default = off)
Scattering f_1 fbar_2 → R^0 → f_3 fbar_4, where f_1 and fbar_2 are separated by +- one generation and similarly for f_3 and fbar_4. Thus possible final states are e.g. d sbar, u cbar s bbar, c tbar, e- mu+ and mu- tau+. Code 3041. pythia8-8.1.86.orig/htmldoc/Histograms.html0000644000175000017500000003316212357553536017022 0ustar sunsun Histograms

Histograms

The Hist class gives a simple implementation of one-dimensional histograms, useful for quick-and-dirty testing, without the need to link to more sophisticated packages. For this reason it is used in many of the sample main programs found in the examples subdirectory.

Basic principles

We here provide a simple overview of what is involved. As a first step you need to declare a histogram, with name, title, number of bins and x range (from, to). 
 
   Hist ZpT( "Z0 pT spectrum", 100, 0., 100.);
Alternatively you can first declare it and later define it: 
 
   Hist ZpT; 
   ZpT.book( "Z0 pT spectrum", 100, 0., 100.);
Once declared, its contents can be added by repeated calls to fill, 
 
   ZpT.fill( 22.7, 1.);
where the first argument is the x value and the second the weight. Since the weight defaults to 1 the last argument could have been omitted in this case.

A set of overloaded operators have been defined, so that histograms can be added, subtracted, divided or multiplied by each other. Then the contents are modified accordingly bin by bin. Thus the relative deviation between two histograms data and theory can be found as 

 
  diff = (data - theory) / (data + theory);
assuming that diff, data and theory have been booked with the same number of bins and x range. That responsibility rests on the user; some checks are made for compatibility, but not enough to catch all possible mistakes.

Also overloaded operations with double real numbers are available. Again these four operations are defined bin by bin, i.e. the corresponding amount is added to, subtracted from, multiplied by or divided by each bin. The double number can come before or after the histograms, with obvious results. Thus the inverse of a histogram result is given by 1. / result. The two kind of operations can be combined, e.g. 

 
  allpT = ZpT + 2. * WpT
Finally, also the +=, -+, *=, /= are overloaded, with the right-hand side being either a histogram or a real number.

Output format

A histogram can be printed by making use of the overloaded << operator, e.g.: 

 
   cout << ZpT;
The printout format is inspired by the old HBOOK one. To understand how to read this format, consider the simplified example 
 
                                     
        3.50*10^ 2  9 
        3.00*10^ 2  X   7 
        2.50*10^ 2  X  1X 
        2.00*10^ 2  X6 XX 
        1.50*10^ 2  XX5XX 
        1.00*10^ 2  XXXXX 
        0.50*10^ 2  XXXXX 
 
          Contents 
            *10^ 2  31122 
            *10^ 1  47208 
            *10^ 0  79373 
 
          Low edge  -- 
            *10^ 1  10001 
            *10^ 0  05050
The key feature is that the Contents and Low edge have to be read vertically. For instance, the first bin has the contents 3 * 10^2 + 4 * 10^1 + 7 * 10^0 = 347. Correspondingly, the other bins have contents 179, 123, 207 and 283. The first bin stretches from -(1 * 10^1 + 0 * 10^0) = -10 to the beginning of the second bin, at -(0 * 10^1 + 5 * 10^0) = -5.

The visual representation above the contents give a simple impression of the shape. An X means that the contents are filled up to this level, a digit in the topmost row the fraction to which the last level is filled. So the 9 of the first column indicates this bin is filled 9/10 of the way from 3.00*10^2 = 300 to 3.50*10^2 = 350, i.e. somewhere close to 345, or more precisely in the range 342.5 to 347.5.

The printout also provides some other information, such as the number of entries, i.e. how many times the histogram has been filled, the total weight inside the histogram, the total weight in underflow and overflow, and the mean value and root-mean-square width (disregarding underflow and overflow). The mean and width assumes that all the contents is in the middle of the respective bin. This is especially relevant when you plot a integer quantity, such as a multiplicity. Then it makes sense to book with limits that are half-integers, e.g. 

 
   Hist multMPI( "number of multiparton interactions", 20, -0.5, 19.5);
so that the bins are centered at 0, 1, 2, ..., respectively. This also avoids ambiguities which bin gets to be filled if entries are exactly at the border between two bins. Also note that the fill( xValue) method automatically performs a cast to double precision where necessary, i.e. xValue can be an integer.

The methods

We here collect a more complete and formal overview of the methods.

Hist::Hist()  
declare a histogram, but does not define it.

Hist::Hist(string title, int numberOfBins, double xMin, double xMax)  
declare and define a histogram, where
argument title : is a string with the title of the histogram at output,
argument numberOfBins : is the number of bin the x range will be subdivided into, limited to be at most 1000,
argument xMin : is the lower edge of the histogram,
argument xMax : is the upper edge of the histogram.

Hist::Hist(const Hist& h)  
creates an identical copy of the histogram in the argument, including bin contents.

Hist::Hist(string title, const Hist& h)  
creates an identical copy of the histogram in the argument, including bin contents, except that a new title is provided as first argument.

Hist& Hist::operator=(const Hist& h)  
copies all properties of the histogram in the argument, except that the original histogram title is retained.

void Hist::book(string title, int numberOfBins, double xMin, double xMax)  
define a histogram that previously was only declared; see above for the meaning of the arguments.

void Hist::name(string title)  
change the title of a histogram, but keep other properties unchanged.

void Hist::null()  
reset bin contents, but keep other histogram properties unchanged.

void Hist::fill(double xValue, double weight)  
fill the histogram, where
argument xValue : is the x position where the filling should occur, and
argument weight (default = 1.) : is the amount of weight to be added at this x value.

friend ostream& operator<<(ostream& os, const Hist& h)  
appends a simple histogram printout (see above for format) to the ostream, while leaving the histogram object itself unchanged. At most 100 columns are allowed to be displayed. If the number of bins is larger than 100 then the contents of adjacent bins are added to give the value in each column. (Two by two up to 200 bins, three by three up to 300, and so on, with the very last column possibly summing fewer rows than the others.)

void Hist::table(ostream& os = cout, bool printOverUnder = false, bool xMidBin = true)  
void Hist::table(string fileName, bool printOverUnder = false, bool xMidBin = true)  
print a two-column table, where the first column gives the center of each bin and the second one the corresponding bin contents. The table may be useful for plotting e.g. with Gnuplot.
The desired output stream or file name can be provided as argument. The former is more flexible (e.g., it allows easy append to an existing file), whereas the latter is simpler for the case that each histogram should be a file of its own.
An optional printOverUnder = true argument allows also underflow and overflow contents to be printed. (The arbitrary x coordinates for these are placed as if corresponding to same-size bins just below or above the regular histogram bins.)
An optional xMidBin = false argument will have the x value at the beginning of each bin printed, rather than the default midpoint value.

friend void table(const Hist& h1, const Hist& h2, ostream& os = cout, bool printOverUnder = false, bool xMidBin = true)  
friend void table(const Hist& h1, const Hist& h2, string fileName, bool printOverUnder = false, bool xMidBin = true)  
print a three-column table, where the first column gives the center of each bin and the second and third ones the corresponding bin contents of the two histograms. Only works if the two histograms have the same x axis (within a tiny tolerance), else nothing will be done. The optional last two arguments allows also underflow and overflow contents to be printed, and the x to refer to the beginning of the bin rather than the center; see above.

double Hist::getBinContent(int iBin)  
return the value in bin iBin, ranging from 1 through numberOfBins, with 0 for underflow and numberOfBins + 1 for overflow.

int Hist::getEntries()  
return the number of entries, i.e. the number of time that fill(...) has been called.

bool Hist::sameSize(const Hist& h)  
checks that the number of bins and upper and lower limits are the same as in the histogram in the argument.

void Hist::takeLog(bool tenLog = true)  
by default take 10-logarithm of current contents bin by bin. With optional argument false instead take e-logarithm of contents bin by bin. If to be used, then right before the histogram is output.

void Hist::takeSqrt()  
take square root of current contents bin by bin, with negative contents set to zero.

Hist& Hist::operator+=(const Hist& h)  
Hist& Hist::operator-=(const Hist& h)  
adds or subtracts the current histogram by the contents of the histogram in the argument if sameSize(...) is true, else does nothing.

Hist& Hist::operator*=(const Hist& h)  
Hist& Hist::operator/=(const Hist& h)  
multiplies or divides the current histogram by the contents of the histogram in the argument if sameSize(...) is true, else does nothing.

Hist& Hist::operator+=(double f)  
Hist& Hist::operator-=(double f)  
adds or subtracts each bin content by the common offset f.

Hist& Hist::operator*=(double f)  
Hist& Hist::operator*=(double f)  
multiplies or divides each bin content by the common factor f.

friend Hist operator+(double f, const Hist& h1)  
friend Hist operator+(const Hist& h1, double f)  
friend Hist operator+(const Hist& h1, const Hist h2)  
add a constant to a histogram or two histograms to each other, bin by bin.

friend Hist operator-(double f, const Hist& h1)  
friend Hist operator-(const Hist& h1, double f)  
friend Hist operator-(const Hist& h1, const Hist h2)  
subtract a histogram from a constant, a constant from a histogram, or two histograms from each other, bin by bin.

friend Hist operator*(double f, const Hist& h1)  
friend Hist operator*(const Hist& h1, double f)  
friend Hist operator*(const Hist& h1, const Hist h2)  
multiply a constant by a histogram or two histograms by each other, bin by bin.

friend Hist operator/(double f, const Hist& h1)  
friend Hist operator/(const Hist& h1, double f)  
friend Hist operator/(const Hist& h1, const Hist h2)  
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trailer << /Size 206 /Root 1 0 R /Info 2 0 R >> startxref 200343 %%EOF pythia8-8.1.86.orig/htmldoc/QCDProcesses.html0000644000175000017500000003343012357553535017175 0ustar sunsun QCD Processes

QCD Processes

This section is subdivided into soft and hard QCD processes, with open charm and bottom production set aside as a special part of the latter, and three-jet topologies as a special subset. Kindly note that there is a considerable amount of overlap between the soft and hard process classes, so that you are likely to double-count if you include both in a run.

Soft QCD processes

As a rule, the processes in this class should not be mixed with the simulation of other processes. All by themselves, they are intended to represent the total cross section of hadron collisions, with the exception of the "rare processes" that one wishes to study separately. In particular, jet physics at all scales occurs as part of the minimum-bias description.

We here use the "minimum bias" expression as a shorthand for inelastic, nondiffractive events. Strictly speaking, "minimum bias" represents an experimental procedure of accepting "everything", with some non-universal cuts to exclude elastic and diffractive topologies. In practice, the experimental minimum-bias sample may then contain some contamination of what is in PYTHIA classified as diffractive, especially (high-mass) double diffractive.

Some options to modify these cross sections are found on the Total Cross Sections page.

flag  SoftQCD:all   (default = off)
Common switch for the group of all soft QCD processes, as listed separately in the following.

flag  SoftQCD:nonDiffractive   (default = off)
The inelastic nondiffrative part of the total cross section, i.e. what would often be called the "minimum-bias component". The formalism is based on an eikonalized description of all the hard QCD processes, so includes them in combination with low-pT events. Code 101.
Since the current description is handled by the multiparton-interactions machinery as part of the parton-level processing, no hard process at all is defined at the process-level part of the event generation. Fortunately, in this case a special codeSub() method provides information on the first, i.e. hardest, subprocess selected by the multiparton-interactions machinery.
Note: this flag was precviously named SoftQCD:minBias, since it is almost equivalent to the minimum-bias component of the total cross section. It has invited some confusion, however, since "minimum-bias" usually refers to the experimental procedure, while "(inelastic) non-diffractive" better relates to the way events are generated in the program code. (Although also what separates diffractive from nondiffractive physics can be a matter of definition.) For backwards compatibility the SoftQCD:minBias name can be used as an alternative to SoftQCD:nonDiffractive for some time yet.

flag  SoftQCD:elastic   (default = off)
Elastic scattering A B → A B. Code 102. It is possible to include Coulomb corrections, but by default this is off.

flag  SoftQCD:singleDiffractive   (default = off)
Single diffractive scattering A B → X B and A B → A X. See page on Diffraction for details. Codes 103 and 104.

flag  SoftQCD:doubleDiffractive   (default = off)
Double diffractive scattering A B → X_1 X_2. See page on Diffraction for details. Code 105.

flag  SoftQCD:centralDiffractive   (default = off)
Central diffractive scattering A B → A X B (a.k.a. double-Pomeron exchange, DPE). See pages on Total Cross Sections and on Diffraction for details. In particular note the SigmaTotal:zeroAXB flag, which is off in most tunes, and that therefore would need to be reset to on after the selection of a tune (even the default one). Code 106.

flag  SoftQCD:inelastic   (default = off)
All of the above processes, except for elastic. Codes 101, 103, 104, 105 and 106.

Hard QCD processes

This group contains the processes for QCD jet production above some minimum pT threshold. The pT_min cut cannot be put too low, or else unreasonably large jet cross sections will be obtained. This is because the divergent perturbative QCD cross section is used in this process group, without any regularization modifications. An eikonalized description, intended to be valid at all pT, is instead included as part of the multiparton-interactions framework, specifically in SoftQCD:nonDiffractive above.
Warning 1: you must remember to set the PhaseSpace:pTHatMin value if you use any of these processes; there is no sensible default.
Warning 2: you must not mix processes from the SoftQCD and HardQCD process groups, since this is likely to lead to double-counting.

flag  HardQCD:all   (default = off)
Common switch for the group of all hard QCD processes, as listed separately in the following.

flag  HardQCD:gg2gg   (default = off)
Scatterings g g → g g. Code 111.

flag  HardQCD:gg2qqbar   (default = off)
Scatterings g g → q qbar, where q by default is a light quark (u, d, s) (see below). Code 112.

flag  HardQCD:qg2qg   (default = off)
Scatterings q g → q g and qbar g → qbar g. Code 113.

flag  HardQCD:qq2qq   (default = off)
Scatterings q q' → q q', q qbar' → q qbar', qbar qbar' → qbar qbar', where q' and q may agree, but the outgoing flavours equals the incoming ones Code 114.

flag  HardQCD:qqbar2gg   (default = off)
Scatterings q qbar → g g. Code 115.

flag  HardQCD:qqbar2qqbarNew   (default = off)
Scatterings q qbar → q' qbar', where q' by default is a light quark (u, d, s) (see below). Code 116.

mode  HardQCD:nQuarkNew   (default = 3; minimum = 0; maximum = 5)
Number of allowed outgoing new quark flavours in the above g g → q qbar and q qbar → q' qbar' processes, where quarks are treated as massless in the matrix-element expressions (but correctly in the phase space). It is thus assumed that c cbar and b bbar are added separately with masses taken into account, using the processes below. A change to 4 would also include c cbar in the massless approximation, etc. In order to avoid double-counting the processes below should then not be used simultaneously.

Hard QCD processes: heavy-flavour subset

These processes form a natural part of the above class, but can also be generated separately. Formally the heavy-quark mass makes these matrix elements finite in the pT → 0 limit, but at high energies one may still question the validity of the expressions at low pT values, like for the other hard-QCD processes. Also as above, an eikonalized description, intended to be valid at all pT, is included as part of the multiparton-interactions framework.
Note that the processes below only represent the "tip of the iceberg" of charm and bottom production at high energies, where flavour excitation and shower branchings provide major additional sources. All these sources come together in the descriptions offered by SoftQCD:nonDiffractive and HardQCD:all.

flag  HardQCD:gg2ccbar   (default = off)
Scatterings g g → c cbar. Code 121.

flag  HardQCD:qqbar2ccbar   (default = off)
Scatterings q qbar → c cbar. Code 122.

flag  HardQCD:hardccbar   (default = off)
Sum of the previous two event types. Codes 121 and 122.

flag  HardQCD:gg2bbbar   (default = off)
Scatterings g g → b bbar. Code 123.

flag  HardQCD:qqbar2bbbar   (default = off)
Scatterings q qbar → b bbar. Code 124.

flag  HardQCD:hardbbbar   (default = off)
Sum of the previous two event types. Codes 123 and 124.

Hard QCD three-parton processes

Three-parton final states are generated by showers off two-parton processes. Topologies then cannot be specified beforehand, beyond what is provided by the two-parton hard process. For some checks it may be convenient to have access to the dedicated three-parton final states, which is what this set of processes allows. Cross sections have been taken from [Ber81].
Note that the processes in this section are not affected by the HardQCD:all switch. In fact, it would be double-counting to include both the HardQCD:all and the HardQCD:3parton processes in a run or study.
Warning: this section is still incomplete, e.g. the selection of colour flow is very simple, and so it should only be used with caution.

flag  HardQCD:3parton   (default = off)
Common switch for the group of all hard QCD processes with three partons in the final state, as listed separately in the following.

flag  HardQCD:gg2ggg   (default = off)
Scatterings g g → g g g. Code 131.

flag  HardQCD:qqbar2ggg   (default = off)
Scatterings q qbar → g g g. Code 132.

flag  HardQCD:qg2qgg   (default = off)
Scatterings q g → q g g and qbar g → qbar g g. Code 133.

flag  HardQCD:qq2qqgDiff   (default = off)
Scatterings q q' → q q' g, q qbar' → q qbar' g, and qbar qbar' → qbar qbar' g. Code 134.

flag  HardQCD:qq2qqgSame   (default = off)
Scatterings q q → q q g and qbar qbar → qbar qbar g (q qbar → q qbar g scatterings are considered separately below, see HardQCD:qqbar2qqbargSame). Code 135.

flag  HardQCD:qqbar2qqbargDiff   (default = off)
Scatterings q qbar → q' qbar' g, where q' by default is a light quark (u, d, s) (see HardQCD:nQuarkNew above). Code 136.

flag  HardQCD:qqbar2qqbargSame   (default = off)
Scatterings q qbar → q qbar g. Code 137.

flag  HardQCD:gg2qqbarg   (default = off)
Scatterings g g → q qbar g, where q by default is a light quark (u, d, s) (see HardQCD:nQuarkNew above). Code 138.

flag  HardQCD:qg2qqqbarDiff   (default = off)
Scatterings q g → q q' qbar' and qbar g → qbar qbar' q', where q' by default is a light quark (u, d, s) (see HardQCD:nQuarkNew above). Code 139.

flag  HardQCD:qg2qqqbarSame   (default = off)
Scatterings q g → q q qbar and qbar g → qbar qbar q. Code 140. pythia8-8.1.86.orig/htmldoc/Diffraction.html0000644000175000017500000005313112357553535017127 0ustar sunsun Diffraction

Diffraction

Introduction

Diffraction is not well understood, and several alternative approaches have been proposed. Here we follow a fairly conventional Pomeron-based one, in the Ingelman-Schlein spirit [Ing85], but integrated to make full use of the standard PYTHIA machinery for multiparton interactions, parton showers and hadronization [Nav10,Cor10a]. This is the approach pioneered in the PomPyt program by Ingelman and collaborators [Ing97].

For ease of use (and of modelling), the Pomeron-specific parts of the generation are subdivided into three sets of parameters that are rather independent of each other:
(i) the total, elastic and diffractive cross sections are parametrized as functions of the CM energy, or can be set by the user to the desired values, see the Total Cross Sections page;
(ii) once it has been decided to have a diffractive process, a Pomeron flux parametrization is used to pick the mass of the diffractive system(s) and the t of the exchanged Pomeron, see below;
(iii) a diffractive system of a given mass is classified either as low-mass unresolved, which gives a simple low-pT string topology, or as high-mass resolved, for which the full machinery of multiparton interactions and parton showers are applied, making use of Pomeron PDFs.
The parameters related to multiparton interactions, parton showers and hadronization are kept the same as for normal nondiffractive events, with only one exception. This may be questioned, especially for the multiparton interactions, but we do not believe that there are currently enough good diffractive data that would allow detailed separate tunes.

The above subdivision may not represent the way "physics comes about". For instance, the total diffractive cross section can be viewed as a convolution of a Pomeron flux with a Pomeron-proton total cross section. Since neither of the two is known from first principles there will be a significant amount of ambiguity in the flux factor. The picture is further complicated by the fact that the possibility of simultaneous further multiparton interactions ("cut Pomerons") will screen the rate of diffractive systems. In the end, our set of parameters refers to the effective description that emerges out of these effects, rather than to the underlying "bare" parameters.

In the event record the diffractive system in the case of an excited proton is denoted p_diffr, code 9902210, whereas a central diffractive system is denoted rho_diffr, code 9900110. Apart from representing the correct charge and baryon numbers, no deeper meaning should be attributed to the names.

Pomeron flux

As already mentioned above, the total diffractive cross section is fixed by a default energy-dependent parametrization or by the user, see the Total Cross Sections page. Therefore we do not attribute any significance to the absolute normalization of the Pomeron flux. The choice of Pomeron flux model still will decide on the mass spectrum of diffractive states and the t spectrum of the Pomeron exchange.

mode  Diffraction:PomFlux   (default = 1; minimum = 1; maximum = 5)
Parametrization of the Pomeron flux f_Pom/p( x_Pom, t).
option 1 : Schuler and Sjöstrand [Sch94]: based on a critical Pomeron, giving a mass spectrum roughly like dm^2/m^2; a mass-dependent exponential t slope that reduces the rate of low-mass states; partly compensated by a very-low-mass (resonance region) enhancement. Is currently the only one that contains a separate t spectrum for double diffraction (along with MBR) and separate parameters for pion beams.
option 2 : Bruni and Ingelman [Bru93]: also a critical Pomeron giving close to dm^2/m^2, with a t distribution the sum of two exponentials. The original model only covers single diffraction, but is here expanded by analogy to double and central diffraction.
option 3 : a conventional Pomeron description, in the RapGap manual [Jun95] attributed to Berger et al. and Streng [Ber87a], but there (and here) with values updated to a supercritical Pomeron with epsilon > 0 (see below), which gives a stronger peaking towards low-mass diffractive states, and with a mass-dependent (the alpha' below) exponential t slope. The original model only covers single diffraction, but is here expanded by analogy to double and central diffraction.
option 4 : a conventional Pomeron description, attributed to Donnachie and Landshoff [Don84], again with supercritical Pomeron, with the same two parameters as option 3 above, but this time with a power-law t distribution. The original model only covers single diffraction, but is here expanded by analogy to double and central diffraction.
option 5 : the MBR (Minimum Bias Rockefeller) simulation of (anti)proton-proton interactions [Cie12]. The event generation follows a renormalized-Regge-theory model, successfully tested using CDF data. The simulation includes single and double diffraction, as well as the central diffractive (double-Pomeron exchange) process (106). Only p p, pbar p and p pbar beam combinations are allowed for this option. Several parameters of this model are listed below.

In options 3 and 4 above, the Pomeron Regge trajectory is parametrized as
alpha(t) = 1 + epsilon + alpha' t
The epsilon and alpha' parameters can be set separately:

parm  Diffraction:PomFluxEpsilon   (default = 0.085; minimum = 0.02; maximum = 0.15)
The Pomeron trajectory intercept epsilon above. For technical reasons epsilon > 0 is necessary in the current implementation.

parm  Diffraction:PomFluxAlphaPrime   (default = 0.25; minimum = 0.1; maximum = 0.4)
The Pomeron trajectory slope alpha' above.

When option 5 is selected, the following parameters of the MBR model [Cie12] are used:

parm  Diffraction:MBRepsilon   (default = 0.104; minimum = 0.02; maximum = 0.15)

parm  Diffraction:MBRalpha   (default = 0.25; minimum = 0.1; maximum = 0.4)
the parameters of the Pomeron trajectory.

parm  Diffraction:MBRbeta0   (default = 6.566; minimum = 0.0; maximum = 10.0)

parm  Diffraction:MBRsigma0   (default = 2.82; minimum = 0.0; maximum = 5.0)
the Pomeron-proton coupling, and the total Pomeron-proton cross section.

parm  Diffraction:MBRm2Min   (default = 1.5; minimum = 0.0; maximum = 3.0)
the lowest value of the mass squared of the dissociated system.

parm  Diffraction:MBRdyminSDflux   (default = 2.3; minimum = 0.0; maximum = 5.0)

parm  Diffraction:MBRdyminDDflux   (default = 2.3; minimum = 0.0; maximum = 5.0)

parm  Diffraction:MBRdyminCDflux   (default = 2.3; minimum = 0.0; maximum = 5.0)
the minimum width of the rapidity gap used in the calculation of Ngap(s) (flux renormalization).

parm  Diffraction:MBRdyminSD   (default = 2.0; minimum = 0.0; maximum = 5.0)

parm  Diffraction:MBRdyminDD   (default = 2.0; minimum = 0.0; maximum = 5.0)

parm  Diffraction:MBRdyminCD   (default = 2.0; minimum = 0.0; maximum = 5.0)
the minimum width of the rapidity gap used in the calculation of cross sections, i.e. the parameter dy_S, which suppresses the cross section at low dy (non-diffractive region).

parm  Diffraction:MBRdyminSigSD   (default = 0.5; minimum = 0.001; maximum = 5.0)

parm  Diffraction:MBRdyminSigDD   (default = 0.5; minimum = 0.001; maximum = 5.0)

parm  Diffraction:MBRdyminSigCD   (default = 0.5; minimum = 0.001; maximum = 5.0)
the parameter sigma_S, used for the cross section suppression at low dy (non-diffractive region).

Separation into low and high masses

Preferably one would want to have a perturbative picture of the dynamics of Pomeron-proton collisions, like multiparton interactions provide for proton-proton ones. However, while PYTHIA by default will only allow collisions with a CM energy above 10 GeV, the mass spectrum of diffractive systems will stretch to down to the order of 1.2 GeV. It would not be feasible to attempt a perturbative description there. Therefore we do offer a simpler low-mass description, with only longitudinally stretched strings, with a gradual switch-over to the perturbative picture for higher masses. The probability for the latter picture is parametrized as
P_pert = P_max ( 1 - exp( (m_diffr - m_min) / m_width ) )
which vanishes for the diffractive system mass m_diffr < m_min, and is 1 - 1/e = 0.632 for m_diffr = m_min + m_width, assuming P_max = 1.

parm  Diffraction:mMinPert   (default = 10.; minimum = 5.)
The abovementioned threshold mass m_min for phasing in a perturbative treatment. If you put this parameter to be bigger than the CM energy then there will be no perturbative description at all, but only the older low-pt description.

parm  Diffraction:mWidthPert   (default = 10.; minimum = 0.)
The abovementioned threshold width m_width.

parm  Diffraction:probMaxPert   (default = 1.; minimum = 0.; maximum = 1.)
The abovementioned maximum probability P_max.. Would normally be assumed to be unity, but a somewhat lower value could be used to represent a small nonperturbative component also at high diffractive masses.

Low-mass diffraction

When an incoming hadron beam is diffractively excited, it is modeled as if either a valence quark or a gluon is kicked out from the hadron. In the former case this produces a simple string to the leftover remnant, in the latter it gives a hairpin arrangement where a string is stretched from one quark in the remnant, via the gluon, back to the rest of the remnant. The latter ought to dominate at higher mass of the diffractive system. Therefore an approximate behaviour like
P_q / P_g = N / m^p
is assumed.

parm  Diffraction:pickQuarkNorm   (default = 5.0; minimum = 0.)
The abovementioned normalization N for the relative quark rate in diffractive systems.

parm  Diffraction:pickQuarkPower   (default = 1.0)
The abovementioned mass-dependence power p for the relative quark rate in diffractive systems.

When a gluon is kicked out from the hadron, the longitudinal momentum sharing between the the two remnant partons is determined by the same parameters as above. It is plausible that the primordial kT may be lower than in perturbative processes, however:

parm  Diffraction:primKTwidth   (default = 0.5; minimum = 0.)
The width of Gaussian distributions in p_x and p_y separately that is assigned as a primordial kT to the two beam remnants when a gluon is kicked out of a diffractive system.

parm  Diffraction:largeMassSuppress   (default = 2.; minimum = 0.)
The choice of longitudinal and transverse structure of a diffractive beam remnant for a kicked-out gluon implies a remnant mass m_rem distribution (i.e. quark plus diquark invariant mass for a baryon beam) that knows no bounds. A suppression like (1 - m_rem^2 / m_diff^2)^p is therefore introduced, where p is the diffLargeMassSuppress parameter.

High-mass diffraction

The perturbative description need to use parton densities of the Pomeron. The options are described in the page on PDF Selection. The standard perturbative multiparton interactions framework then provides cross sections for parton-parton interactions. In order to turn these cross section into probabilities one also needs an ansatz for the Pomeron-proton total cross section. In the literature one often finds low numbers for this, of the order of 2 mb. These, if taken at face value, would give way too much activity per event. There are ways to tame this, e.g. by a larger pT0 than in the normal pp framework. Actually, there are many reasons to use a completely different set of parameters for MPI in diffraction than in pp collisions, especially with respect to the impact-parameter picture, see below. A lower number in some frameworks could alternatively be regarded as a consequence of screening, with a larger "bare" number.

For now, however, an attempt at the most general solution would carry too far, and instead we patch up the problem by using a larger Pomeron-proton total cross section, such that average activity makes more sense. This should be viewed as the main tunable parameter in the description of high-mass diffraction. It is to be fitted to diffractive event-shape data such as the average charged multiplicity. It would be very closely tied to the choice of Pomeron PDF; we remind that some of these add up to less than unit momentum sum in the Pomeron, a choice that also affect the value one ends up with. Furthermore, like with hadronic cross sections, it is quite plausible that the Pomeron-proton cross section increases with energy, so we have allowed for a power-like dependence on the diffractive mass.

parm  Diffraction:sigmaRefPomP   (default = 10.; minimum = 2.; maximum = 40.)
The assumed Pomeron-proton effective cross section, as used for multiparton interactions in diffractive systems. If this cross section is made to depend on the mass of the diffractive system then the above value refers to the cross section at the reference scale, and
sigma_PomP(m) = sigma_PomP(m_ref) * (m / m_ref)^p
where m is the mass of the diffractive system, m_ref is the reference mass scale Diffraction:mRefPomP below and p is the mass-dependence power Diffraction:mPowPomP. Note that a larger cross section value gives less MPI activity per event. There is no point in making the cross section too big, however, since then pT0 will be adjusted downwards to ensure that the integrated perturbative cross section stays above this assumed total cross section. (The requirement of at least one perturbative interaction per event.)

parm  Diffraction:mRefPomP   (default = 100.0; minimum = 1.)
The mRef reference mass scale introduced above.

parm  Diffraction:mPowPomP   (default = 0.0; minimum = 0.0; maximum = 0.5)
The p mass rescaling pace introduced above.

Also note that, even for a fixed CM energy of events, the diffractive subsystem will range from the abovementioned threshold mass m_min to the full CM energy, with a variation of parameters such as pT0 along this mass range. Therefore multiparton interactions are initialized for a few different diffractive masses, currently five, and all relevant parameters are interpolated between them to obtain the behaviour at a specific diffractive mass. Furthermore, A B → X B and A B → A X are initialized separately, to allow for different beams or PDF's on the two sides. These two aspects mean that initialization of MPI is appreciably slower when perturbative high-mass diffraction is allowed.

Diffraction tends to be peripheral, i.e. occur at intermediate impact parameter for the two protons. That aspect is implicit in the selection of diffractive cross section. For the simulation of the Pomeron-proton subcollision it is the impact-parameter distribution of that particular subsystem that should rather be modeled. That is, it also involves the transverse coordinate space of a Pomeron wavefunction. The outcome of the convolution therefore could be a different shape than for nondiffractive events. For simplicity we allow the same kind of options as for nondiffractive events, except that the bProfile = 4 option for now is not implemented.

mode  Diffraction:bProfile   (default = 1; minimum = 0; maximum = 3)
Choice of impact parameter profile for the incoming hadron beams.
option 0 : no impact parameter dependence at all.
option 1 : a simple Gaussian matter distribution; no free parameters.
option 2 : a double Gaussian matter distribution, with the two free parameters coreRadius and coreFraction.
option 3 : an overlap function, i.e. the convolution of the matter distributions of the two incoming hadrons, of the form exp(- b^expPow), where expPow is a free parameter.

parm  Diffraction:coreRadius   (default = 0.4; minimum = 0.1; maximum = 1.)
When assuming a double Gaussian matter profile, bProfile = 2, the inner core is assumed to have a radius that is a factor coreRadius smaller than the rest.

parm  Diffraction:coreFraction   (default = 0.5; minimum = 0.; maximum = 1.)
When assuming a double Gaussian matter profile, bProfile = 2, the inner core is assumed to have a fraction coreFraction of the matter content of the hadron.

parm  Diffraction:expPow   (default = 1.; minimum = 0.4; maximum = 10.)
When bProfile = 3 it gives the power of the assumed overlap shape exp(- b^expPow). Default corresponds to a simple exponential drop, which is not too dissimilar from the overlap obtained with the standard double Gaussian parameters. For expPow = 2 we reduce to the simple Gaussian, bProfile = 1, and for expPow → infinity to no impact parameter dependence at all, bProfile = 0. For small expPow the program becomes slow and unstable, so the min limit must be respected. pythia8-8.1.86.orig/htmldoc/EventRecord.html0000644000175000017500000006237512357553536017132 0ustar sunsun The Event Record

The Event Record

A Pythia instance contains two members of the Event class. The one called process provides a brief summary of the main steps of the hard process, while the one called event contains the full history. The user would normally interact mainly with the second one, so we will exemplify primarily with that one.

The Event class to first approximation is a vector of Particles, so that it can expand to fit the current event size. The index operator is overloaded, so that e.g. event[i] corresponds to the i'th particle of the object event. Thus event[i].id() returns the identity of the i'th particle, and so on. Therefore the methods of the Particle class are at least as essential as those of the Event class itself.

As used inside PYTHIA, some conventions are imposed on the structure of the event record. Entry 0 of the vector<Particle> is used to represent the event as a whole, with its total four-momentum and invariant mass, but does not form part of the event history. Lines 1 and 2 contains the two incoming beams, and only from here on history tracing works as could be expected. That way unassigned mother and daughter indices can be put 0 without ambiguity. Depending on the task at hand, a loop may therefore start at index 1 rather than 0 without any loss. Specifically, for translation to other event record formats such as HepMC [Dob01], where the first index is 1, the Pythia entry 0 definitely ought to be skipped in order to minimize the danger of indexing errors.

In the following we will list the methods available. Only a few of them have a function to fill in normal user code.

Basic output methods

Some methods are available to read out information on the current event record:

Particle& Event::operator[](int i)  
const Particle& Event::operator[](int i)  
returns a (const) reference to the i'th particle in the event record, which can be used to get (or set) all the properties of this particle.

Particle& Event::front()  
Particle& Event::at(int i)  
Particle& Event::back()  
returns a reference to the zeroth, i'th or last particle in the event record, as an alternative to the methods above.

int Event::size()  
The event size, i.e. the size of the vector<Particle>. Thus valid particles, to be accessed by the above indexing operator, are stored in the range 0 <= i < size(). See comment above about the (ir)relevance of entry 0.

void Event::list()  
void Event::list(ostream& os)  
void Event::list(bool showScaleAndVertex, bool showMothersAndDaughters = false)  
void Event::list(bool showScaleAndVertex, bool showMothersAndDaughters, ostream& os)  
Provide a listing of the whole event, i.e. of the vector<Particle>. The methods with fewer arguments call the final one with the respective default values, and are non-inlined so they can be used in a debugger. The basic identity code, status, mother, daughter, colour, four-momentum and mass data are always given, but the methods can also be called with a few optional arguments for further information:
argument showScaleAndVertex (default = false) : optionally give a second line for each particle, with the production scale (in GeV), the particle polarization (dimensionless), the production vertex (in mm or mm/c) and the invariant lifetime (also in mm/c).
argument showMothersAndDaughters (default = false) : gives a list of all daughters and mothers of a particle, as defined by the motherList(i) and daughterList(i) methods described below. It is mainly intended for debug purposes.
argument os (default = cout) : a reference to the ostream object to which the event listing will be directed.

Each Particle has two mother and two daughter indices. These may be used to encode zero, one, two or more mothers/daughters, depending on the combination of values and status code, according to well-defined rules. The two methods below can do this job easier for you.

vector<int> Event::motherList(int i)  
returns a vector of all the mother indices of the particle at index i. This list is empty for entries 0, 1 and 2, i.e. the "system" in line 0 is not counted as part of the history. Normally the list contains one or two mothers, but it can also be more, e.g. in string fragmentation the whole fragmenting system is counted as mothers to the primary hadrons. Many particles may have the same motherList. Mothers are listed in ascending order.

vector<int> Event::daughterList(int i)  
returns a vector of all the daughter indices of the particle at index i. This list is empty for a particle that did not decay (or, if the evolution is stopped early enough, a parton that did not branch), while otherwise it can contain a list of varying length, from one to many. For the two incoming beam particles, all shower initiators and beam remnants are counted as daughters, with the one in slot 0 being the one leading up to the hardest interaction. The "system" in line 0 does not have any daughters, i.e. is not counted as part of the history. Many partons may have the same daughterList. Daughters are listed in ascending order.

int Event::statusHepMC(int i)  
returns the status code according to the HepMC conventions agreed in February 2009. This convention does not preserve the full information provided by the internal PYTHIA status code, as obtained by Particle::status(), but comes reasonably close. The allowed output values are:

  • 0 : an empty entry, with no meaningful information and therefore to be skipped unconditionally (should not occur in PYTHIA);
  • 1 : a final-state particle, i.e. a particle that is not decayed further by the generator (may also include unstable particles that are to be decayed later, as part of the detector simulation);
  • 2 : a decayed Standard Model hadron or tau or mu lepton, excepting virtual intermediate states thereof (i.e. the particle must undergo a normal decay, not e.g. a shower branching);
  • 3 : a documentation entry (not used in PYTHIA);
  • 4 : an incoming beam particle;
  • 11 - 200 : an intermediate (decayed/branched/...) particle that does not fulfill the criteria of status code 2, with a generator-dependent classification of its nature; in PYTHIA the absolute value of the normal status code is used.

Further output methods

The above methods are the main ones that a normal user would make frequent use of. There are some further methods that also could come in handy, in the exploration of the history of an event, but where the outcome is not always obvious if one is not familiar with the detailed structure of an event record.

int Event::iTopCopy(int i)  
int Event::iBotCopy(int i)  
are used to trace carbon copies of the particle at index i up to its top mother or down to its bottom daughter. If there are no such carbon copies, i itself will be returned. A carbon copy is when the "same" particle appears several times in the event record, but with changed momentum owing to recoil effects.

int Event::iTopCopyId(int i)  
int Event::iBotCopyId(int i)  
also trace top mother and bottom daughter, but do not require carbon copies, only that one can find an unbroken chain, of mothers or daughters, with the same flavour id code. When it encounters ambiguities, say a g → g g branching or a u u → u u hard scattering, it will stop the tracing and return the current position. It can be confused by nontrivial flavour changes, e.g. a hard process u d → d u by W^+- exchange will give the wrong answer. These methods therefore are of limited use for common particles, in particular for the gluon, but should work well for "rare" particles.

vector<int> Event::sisterList(int i)  
returns a vector of all the sister indices of the particle at index i, i.e. all the daughters of the first mother, except the particle itself.

vector<int> Event::sisterListTopBot(int i, bool widenSearch = true)  
returns a vector of all the sister indices of the particle at index i, tracking up and back down through carbon copies if required. That is, the particle is first traced up with iTopCopy() before its mother is found, and then all the particles in the daughterList() of this mother are traced down with iBotCopy(), omitting the original particle itself. Any non-final particles are removed from the list. Should this make the list empty the search criterion is widened so that all final daughters are allowed, not only carbon-copy ones. That is, starting from the top mother, all its daughters are found, except for the traced-up one, and then all their daughters, and so on. This can produce quite extensive and rather useless output, notably when tracing parton showers. A second argument false inhibits the second step, and increases the risk that an empty list is returned. A typical example of this is for ISR cascades, e.g. e → e gamma where the photon may not have any obvious sister in the final state if the bottom copy of the photon is an electron that annihilates and thus is not part of the final state.

bool Event::isAncestor(int i, int iAncestor)  
traces the particle i upwards through mother, grandmother, and so on, until either iAncestor is found or the top of the record is reached. Normally one unique mother is required, as is the case e.g. in decay chains or in parton showers, so that e.g. the tracing through a hard scattering would not work. For hadronization, first-rank hadrons are identified with the respective string endpoint quark, which may be useful e.g. for b physics, while higher-rank hadrons give false. Currently also ministrings that collapsed to one single hadron and junction topologies give false.

One data member in an Event object is used to keep track of the largest col() or acol() colour tag set so far, so that new ones do not clash.

mode  Event:startColTag   (default = 100; minimum = 0; maximum = 1000)
This sets the initial colour tag value used, so that the first one assigned is startColTag + 1, etc. The Les Houches accord [Boo01] suggests this number to be 500, but 100 works equally well.

void Event::initColTag(int colTag = 0)  
forces the current colour tag value to be the larger of the input colTag and the above Event:startColTag values.

int Event::lastColTag()  
returns the current maximum colour tag.

int Event::nextColTag()  
increases the current maximum colour tag by one and returns this new value. This method is used whenever a new colour tag is needed.

Many event properties are accessible via the Info class, see here. Since they are used directly in the event generation, a few are stored directly in the Event class, however.

void Event::scale( double scaleIn)  
double Event::scale()  
set or get the scale (in GeV) of the hardest process in the event. Matches the function of the scale variable in the Les Houches Accord.

void Event::scaleSecond( double scaleSecondIn)  
double Event::scaleSecond()  
set or get the scale (in GeV) of a second hard process in the event, in those cases where such a one has been requested.

Constructors and modifications of the event record

Although you would not normally need to create your own Event instance, there may be times where that could be convenient. The typical example would be if you want to create a new event record that is the sum of a few different ones, e.g. if you want to simulate pileup events. There may also be cases where you want to add one or a few particles to an existing event record.

Event::Event(int capacity = 100)  
creates an empty event record, but with a reserved size capacity for the Particle vector.

Event& Event::operator=(const Event& oldEvent)  
copies the input event record.

Event& Event::operator+=(const Event& addEvent)  
appends an event to an existing one. For the appended particles mother, daughter and colour tags are shifted to make a consistent record. The zeroth particle of the appended event is not copied, but the zeroth particle of the combined event is updated to the full energy-momentum content.

void Event::init(string headerIn = "", ParticleData* particleDataPtrIn = 0, int startColTagIn = 100)  
initializes colour, the pointer to the particle database, and the header specification used for the event listing. We remind that a Pythia object contains two event records process and event. Thus one may e.g. call either pythia.process.list() or pythia.event.list(). To distinguish those two rapidly at visual inspection, the "Pythia Event Listing" header is printed out differently, in one case adding "(hard process)" and in the other "(complete event)". When += is used to append an event, the modified event is printed with "(combination of several events)" as a reminder.

void Event::clear()  
empties event record. Specifically the Particle vector size is reset to zero.

void Event::reset()  
empties the event record, as clear() above, but then fills the zero entry of the Particle vector with the pseudoparticle used to represent the event as a whole. At this point the pseudoparticle is not assigned any momentum or mass.

void Event::popBack(int n = 1)  
removes the last n particle entries; must be a positive number. History (and other) information of remaning entries is untouched, and so may be internally inconsistent.

void Event::remove(int iFirst, int iLast)  
removes particles in the range between indices iFirst and iLast, including the endpoints. History (and other) information of remaning entries is untouched, and so may be internally inconsistent.

bool Event::undoDecay(int i)  
removes the decay chain of the particle i and thus restores it to its undecayed state. It is only intended for "normal" particle decay chains, and will return false in other cases, notably if the particle is coloured. The procedure would not work if non-local momentum shifts have been performed, such as with a Bose-Einstein shift procedure (or for a dipole shower recoiler). The history information of the remaining particles, many of which may have new indices, is updated to be internally consistent.

int Event::append(Particle entryIn)  
appends a particle to the bottom of the event record and returns the index of this position.

int Event::append(int id, int status, int mother1, int mother2, int daughter1, int daughter2, int col, int acol, double px, double py, double pz, double e, double m = 0., double scale = 0., double pol = 9.)  
appends a particle to the bottom of the event record and returns the index of this position; see here for the meaning of the various particle properties.

int Event::append(int id, int status, int mother1, int mother2, int daughter1, int daughter2, int col, int acol, Vec4 p, double m = 0., double scale = 0., double pol = 9.)  
appends a particle to the bottom of the event record and returns the index of this position, as above but with four-momentum as a Vec4.

int Event::append(int id, int status, int col, int acol, double px, double py, double pz, double e, double m = 0., double scale = 0., double pol = 9.)  
int Event::append(int id, int status, int col, int acol, Vec4 p, double m = 0., double scale = 0., double pol = 9.)  
appends a particle to the bottom of the event record and returns the index of this position, as above but with vanishing (i.e. zero) mother and daughter indices.

int Event::setEvtPtr(int iSet = -1)  
send in the this pointer of the current Event itself to the particle iSet, by default the most recently appended particle. Also generates a pointer to the ParticleDataEntry object of the identity code of the particle.

int Event::copy(int iCopy, int newStatus = 0)  
copies the existing particle in entry iCopy to the bottom of the event record and returns the index of this position. By default, i.e. with newStatus = 0, everything is copied precisely as it is, which means that history information has to be modified further by hand to make sense. With a positive newStatus, the new copy is set up to be the daughter of the old, with status code newStatus, while the status code of iCopy is negated. With a negative newStatus, the new copy is instead set up to be the mother of iCopy. An attempt to copy an out-of-range entry will return -1.

void Event::restorePtrs()  
each particle in the event record has a pointer to the event itself and another to the particle species it belongs to. The latter pointer is automatically set/changed whenever the particle identity is set/changed by one of the normal methods. Of course the pointer values are specific to the memory locations of the current run, and so it has no sense to save them if events are written to file. Should you use some persistency scheme that bypasses the normal methods when the event is read back in, you can use restorePtrs() afterwards to set these pointers appropriately.

A few methods exist to rotate and boost events. These derive from the Vec4 methods, and affect both the momentum and the vertex (position) components of all particles.

void Event::rot(double theta, double phi)  
rotate all particles in the event by this polar and azimuthal angle (expressed in radians).

void Event::bst(double betaX, double betaY, double betaZ)  
void Event::bst(double betaX, double betaY, double betaZ, double gamma)  
void Event::bst(const Vec4& vec)  
boost all particles in the event by this three-vector. Optionally you may provide the gamma value as a fourth argument, which may help avoid roundoff errors for big boosts. You may alternatively supply a Vec4 four-vector, in which case the boost vector becomes beta = p/E.

void Event::rotbst(const RotBstMatrix& M)  
rotate and boost by the combined action encoded in the RotBstMatrix M.

The Junction Class

The event record also contains a vector of junctions, which often is empty or else contains only a very few per event. Methods are available to add further junctions or query the current junction list. This is only for the expert user, however, and is not discussed further here, but only the main points.

A junction stores the properties associated with a baryon number that is fully resolved, i.e. where three different colour indices are involved. There are two main applications,

  1. baryon beams, where at least two valence quarks are kicked out, and so the motion of the baryon number is nontrivial;
  2. baryon-number violating processes, e.g. in SUSY with broken R-parity.
Information on junctions is set, partly in the process generation, partly in the beam remnants machinery, and used by the fragmentation routines, but the normal user does not have to know the details.

For each junction, information is stored on the kind of junction, and on the three (anti)colour indices that are involved in the junction. The possibilities foreseen are:

  • kind = 1 : incoming colourless particle to three outgoing colours (e.g. baryon beam remnant or neutralino → q q q);
  • kind = 2 : incoming colourless particle to three outgoing anticolours;
  • kind = 3 : one incoming anticolour (stored first) and two outgoing colours (e.g. antisquark decaying to two quarks, or gluino decay to three quarks);
  • kind = 4 : one incoming colour (stored first) and two outgoing anticolours (e.g. squark decaying to two antiquarks, or gluino decaying to three antiquarks);
  • kind = 5 : two incoming anticolours (stored first) and one outgoing colour (e.g. resonant squark production through RPV);
  • kind = 6 : two incoming colours (stored first) and one outgoing anticolour (e.g. resonant antisquark production through RPV);
The odd (even) kind codes corresponds to a +1 (-1) change in baryon number across the junction.

The kind and colour information in the list of junctions can be set or read with methods of the Event class, but are not of common interest and so not described here.

A listing of current junctions can be obtained with the listJunctions() method.

Subsystems

Separate from the event record as such, but closely tied to it is the PartonSystems class, which mainly stores the parton indices of incoming and outgoing partons, classified by collision subsystem. Such information is needed to interleave multiparton interactions, initial-state showers and final-state showers, and append beam remnants. It could also be used in other places. It is intended to be accessed only by experts, such as implementors of new showering models. pythia8-8.1.86.orig/htmldoc/ProgramFiles.html0000644000175000017500000004154512357553535017277 0ustar sunsun Program Files

Program Files

The code is subdivided into a set of files, mainly by physics task. Each file typically contains one main class, but often with a few related helper classes that are not used elsewhere in the program. Normally the files come in pairs.
  • A header file, .h in the include subdirectory, where the public interface of the class is declared, and inline methods are defined.
  • A source code file, .cc in the src subdirectory, where most of the methods are implemented.
During compilation, related dependency files, .d, and compiled code, .o are created in the tmp subdirectory.

In part the .xml documentation files in the xmldoc subdirectory have matching names, but the match is broken by the desire to group topics more by user interaction than internal operation. On these pages the function of the different code files is summarized. Currently, each .xml file is also translated into an .html one in the htmldoc subdirectory, to allow easy viewing of the contents in a web browser, and an .php one in phpdoc, for more sophisticated interactivity if that subdirectory is installed on a web server.

Here is the current list of files, ordered alphabetically, with a brief description of contents.

file  Analysis  
contains routines to analyze events. Currently it can do sphericity, thrust, Lund/Jade/Durham jet clustering, cone-jet finding, and the kT, anti-kT and Cambridge/Aachen algorithms for hadron colliders.

file  Basics  
contains some basic facilities of general use: a random number generator Rndm, a four-vector class Vec4, and a histogram class Hist.

file  BeamParticle  
contains information on all partons extracted from one of the two beams. Defines modified parton distributions accordingly during the showering and multiparton interactions processing, thereby extending on the one-particle-inclusive distributions defined by the previous class. Finds the internal structure for a beam remnant.

file  BeamRemnants  
adds primordial kT to the set of hard subsystems, and combines these subsystems with the two beam remnants to provide the overall energy-momentum picture. Also ties together all the colour lines into consistent singlets.

file  BeamShape  
generates momentum spread of beams, and spread of collision vertex position.

file  BoseEinstein  
provides a simple method to impose Bose-Einstein correlations on pairs of identical mesons.

file  Event  
contains the event record, which basically is a vector of particles. This file also contains the Particle class, used by Event. Pythia uses two Event objects, one for the process-level record (process) and one for the complete event (event).

file  FJcore  
contains the external FJcore package, providing the coure functionality of the FastJet jet fiding package

file  FragmentationFlavZpT  
contains the classes for describing the fragmentation steps in flavour and in longitudinal and transverse momentum.

file  FragmentationSystems  
defines some containers of parton systems, for use in the fragmentation routines.

file  HadronLevel  
turns the parton-level event above into a set of outgoing particles, by applying string fragmentation (with special treatment for low-mass systems) and secondary decays, and optionally Bose-Einstein corrections.

file  HadronScatter  
contains the beginning of a machinery for final state hadronic rescattering.

file  HelicityBasics  
basic classes for the handling of helicities in tau lepton decays.

file  HelicityMatrixElements  
helicity-dependent decay matrix elements for the tau lepton.

file  HiddenValleyFragmentation  
hadronization in models with a hidden sector that contains an unbroken SU(N), which gives confinement. The model and code is largely derived from the normal fragmentation classes.

file  History  
methods to reconstruct the imagined shower history of a matrix-element-generated multiparton configuration, as part of the CKKW-L matrix element merging.

file  Info  
is a simple container that gives access to some information on the nature of the current process, such as Mandelstam variables. Also contains a small database for errors and warnings encountered during program execution.

file  LesHouches  
gives the possibility to feed in parton configurations for the subsequent event generation. One base class is defined, with containers for initialization and event information, that can be read from Pythia. Derived classes allow for a few different cases.

file  LHAFortran  
is a header file only, for a class derived from the above LesHouches one, to be used for runtime interfacing to Fortran programs, such as PYTHIA 6.

file  LHAPDFInterface  
is a header file only, with interfaces to the key LHAPDF routines, as needed for a runtime interface. There is a file lhapdfdummy/LHAPDFdummy.cc with matching dummy implementations, however. This file is used to build a separate liblhapdfdummy library, to be linked when the LHAPDF library is not used, so as to avoid problems with undefined references.

file  Merging  
Wpapper class to interface matrix element merging schemes with Pythia.

file  MergingHooks  
intercede in the normal shower evolution to construct the relevant Sudakov form factor suppressions as part of the CKKW-L matrix element merging.

file  MiniStringFragmentation  
performs string fragmentation in cases where the colour singlet subsystem mass is so small that one or at most two primary hadrons should be produced from it.

file  MultipartonInteractions  
performs multiparton interactions.

file  ParticleData  
contains a database of all necessary particle data (masses, names, ..) and decay channels.

file  ParticleDecays  
performs the decays of all normal unstable hadrons and leptons, i.e. in mass up to and including b bbar systems. It is not intended for decays of electroweak resonances, like Z^0.

file  PartonDistributions  
contains parton distribution functions for the proton and electron. Currently very simple, with only two p parametrizations and one e ditto available, but it is possible to link in external sets.

file  PartonLevel  
turns the (hard) process above into a complete set of partons, by adding initial- and final-state radiation, multiparton interactions, and beam remnants.

file  PartonSystems  
keeps track of which partons belong to which partonic subsystem, i.e. one of the multiparton (semi)hard interactions with associated showers.

file  PhaseSpace  
selects a point in phase space for the hard-process generation, optimized separately for each process to give improved Monte Carlo efficiency.

file  ProcessContainer  
packages the information on a given subprocess, combining the phase-space selection and cross-section evaluation machineries with some statistics information. Also sets up the list of processes to be studied in a run.

file  ProcessLevel  
handles the generation of the (hard) process that sets the character of the event. This involves either using internally implemented processes or linking to Les Houches information. The latter can be by runtime interfaces or by reading in a file. This step also includes resonance decays.

file  Pythia  
is the main class, that administrates the whole event generation process by making use of all the others classes. Objects of most other classes reside (directly or indirectly) inside Pythia, so only a Pythia object needs to be explicitly instantiated and addressed by the user.

file  Pythia8ToHepMC  
contains an interface to convert the PYTHIA 8 event record into the HepMC format. The Pythia8ToHepMC.cc file is located in the subdirectory pythia8tohepmc and is used to build a separate libpythia8tohepmc library.

file  PythiaComplex  
is only a .h file, containing a typedef for double precision complex numbers.

file  PythiaStdlib  
contains most of the Stdlib headers used in PYTHIA 8, with using directives. It defines M_PI if this is not already done. Also a few simple inline methods: pow2(x), pow3(x), pow4(x), pow5(x) and pow6(x) for small integer powers, and sqrtpos(x) where a max(0., x) ensures that one does not take the square root of a negative number. Also non-inlined GammaReal(x) for the Gamma function value of a real argument.

file  ResonanceDecays  
decays resonances as part of the hard-process stage, in many cases (but not all) including angular correlations between the decay products.

file  ResonanceWidths  
encodes some properties of resonances, in particular the dynamic calculation of widths.

file  RHadrons  
handles the production and decay of hadrons formed by long-lived gluinos, stops or sbottoms.

file  Settings  
contains a database of all flags, modes, parameters and words that determine the performance of the generator. Initial values are obtained from the contents of the .xml files, but these values can then be changed by the user.

file  SigmaCompositeness  
contains the cross sections and matrix elements for production of some particles in compositeness scenarios, specifically excited fermions.

file  SigmaEW  
contains the cross sections and matrix elements for electroweak processes involving photons, Z^0's and W^+-'s.

file  SigmaExtraDim  
contains the cross sections and matrix elements for processes in scenarios involving extra dimensions.

file  SigmaGeneric  
contains the cross sections and matrix elements for some generic processes, to be used as building blocks for a few BSM scenarios.

file  SigmaHiggs  
contains the cross sections and matrix elements for Higgs production.

file  SigmaLeftRightSym  
contains the cross sections and matrix elements for particle production in left-right-symmetry scenarios, specifically righthanded Z and W bosons and doubly-charged Higgs bosons.

file  SigmaLeptoquark  
contains the cross sections and matrix elements for leptoquark production.

file  SigmaNewGaugeBosons  
contains the cross sections and matrix elements for a Z'^0, a W^+- and a horizontal gauge boson R^0.

file  SigmaOnia  
contains the cross sections and matrix elements for charmonium and bottomonium production.

file  SigmaProcess  
contains the base class and derived classes for the evaluation of different matrix elements. Also keeps track of allowed incoming parton configurations and their cross sections, including parton densities. In order to keep this file from becoming too big, actual cross sections are found in several separate files of derived classes: SigmaQCD, SigmaEW, SigmaOnia, SigmaHiggs, SigmaSUSY, SigmaNewGaugeBosons, SigmaLeftRightSym, SigmaLeptoquark, SigmaCompositeness, SigmaExtraDim and SigmaGeneric.

file  SigmaQCD  
contains the cross sections and matrix elements for soft and hard QCD processes.

file  SigmaSUSY  
contains the cross sections and matrix elements for Supersymmetric processes.

file  SigmaTotal  
contains parametrizations of total, elastic and diffractive hadronic cross sections.

file  SLHAinterface  
handles the communication between the SusyLesHouches classes and Pythia.

file  SpaceShower  
performs spacelike initial-state transverse-momentum-ordered shower evolution.

file  StandardModel  
contains the running alpha_strong, with Lambda matching at flavour thresholds, the running alpha_em, CKM mixing matrices, and a few other parameters such as sin^2(theta_W).

file  StringFragmentation  
performs string fragmentation of a given set of partons.

file  SusyCouplings  
stores the various couplings used for SUSY cross sections and decays, as calculated from input e.g. based on the SUSY Les Houches Accord.

file  SusyLesHouches  
contains information on SUSY parameters and particle data as specified by the SUSY Les Houches Accord.

file  SusyResonanceWidths  
encodes some properties of supersymmetric resonances, similar to what ResonanceWidths does for other resonances.

file  TauDecays  
the main routines for handling tau lepton decays with helicity information.

file  TimeShower  
performs timelike final-state transverse-momentum-ordered shower evolution.

file  UserHooks  
Provides a way for a user to study the event at a few intermediate stages of evolution, to reject the event as a whole or to modify its cross-section weight.

file  WeakShowerMEs  
provides some matrix elements used for ME corrections of W and Z weak gauge boson emission in both initial- and final-state parton showers. pythia8-8.1.86.orig/htmldoc/EventInformation.html0000644000175000017500000007705112357553536020176 0ustar sunsun Event Information

Event Information

The Info class collects various one-of-a-kind information, some relevant for all events and others for the current event. An object info is a public member of the Pythia class, so if you e.g. have declared Pythia pythia, the Info methods can be accessed by pythia.info.method(). Most of this is information that could also be obtained e.g. from the event record, but is here more directly available. It is primarily intended for processes generated internally in PYTHIA, but many of the methods would work also for events fed in via the Les Houches Accord.

List information

void Info::list()  
a listing of most of the information set for the current event.

The beams

int Info::idA()  
int Info::idB()  
the identities of the two beam particles.

double Info::pzA()  
double Info::pzB()  
the longitudinal momenta of the two beam particles.

double Info::eA()  
double Info::eB()  
the energies of the two beam particles.

double Info::mA()  
double Info::mB()  
the masses of the two beam particles.

double Info::eCM()  
double Info::s()  
the CM energy and its square for the two beams.

Initialization

bool Info::tooLowPTmin()  
normally false, but true if the proposed pTmin scale was too low in timelike or spacelike showers, or in multiparton interactions. In the former case the pTmin is raised to some minimal value, in the latter the initialization fails (it is impossible to obtain a minijet cross section bigger than the nondiffractive one by reducing pTmin).

The event type

string Info::name()  
int Info::code()  
the name and code of the process that occurred.

int Info::nFinal()  
the number of final-state partons in the hard process.

bool Info::isResolved()  
are beam particles resolved, i.e. were PDF's used for the process?

bool Info::isDiffractiveA()  
bool Info::isDiffractiveB()  
is either beam diffractively excited?

bool Info::isDiffractiveC()  
is there central diffraction (a.k.a. double Pomeron exchange)?

bool Info::isNonDiffractive()  
is the process the SoftQCD:nonDiffractive one, i.e. corresponding to the full inelastic nondiffractive part of the total cross section. (Note that a hard process, say Z^0 production, normally is nondiffractive, but this is not what we aim at here, and so the method would return false, unless the Z^0 had been generated as part of the MPI machinery for the SoftQCD:nonDiffractive component.)

bool Info::isMinBias()  
the same as above, retained for backwards compatibility, but to be removed in PYTHIA 8.2.

bool Info::isLHA()  
has the process been generated from external Les Houches Accord information?

bool Info::atEndOfFile()  
true if a linked Les Houches class refuses to return any further events, presumably because it has reached the end of the file from which events have been read in.

bool Info::hasSub()  
does the process have a subprocess classification? Currently only true for nondiffractive and Les Houches events, where it allows the hardest collision to be identified.

string Info::nameSub()  
int Info::codeSub()  
int Info::nFinalSub()  
the name, code and number of final-state partons in the subprocess that occurred when hasSub() is true. For a minimum-bias event the code would always be 101, while codeSub() would vary depending on the actual hardest interaction, e.g. 111 for g g → g g. For a Les Houches event the code would always be 9999, while codeSub() would be the external user-defined classification code. The methods below would also provide information for such particular subcollisions.

Hard process initiators

The methods in this sections refer to the two initial partons of the hard 2 → n process (diffraction excluded; see below).

int Info::id1()  
int Info::id2()  
the identities of the two partons coming in to the hard process.

double Info::x1()  
double Info::x2()  
x fractions of the two partons coming in to the hard process.

double Info::y()  
double Info::tau()  
rapidity and scaled mass-squared of the hard-process subsystem, as defined by the above x values.

bool Info::isValence1()  
bool Info::isValence2()  
true if the two hard incoming partons have been picked to belong to the valence piece of the parton-density distribution, else false. Should be interpreted with caution. Information is not set if you switch off parton-level processing.

Hard process parton densities and scales

The methods in this section refer to the partons for which parton densities have been defined, in order to calculate the cross section of the hard process (diffraction excluded; see below).

These partons would normally agree with the ones above, the initiators of the 2 → n process, but it does not have to be so. Currently the one counterexample is POWHEG events [Ali10]. Here the original hard process could be 2 → (n-1). The NLO machinery at times would add an initial-state branching to give a 2 → n process with a changed initial state. In that case the values in this section refer to the original 2 → (n-1) state and the initiator ones above to the complete2 → n process. The Info::list() printout will contain a warning in such cases.

For external events in the Les Houches format, the pdf information is obtained from the optional #pdf line. When this information is absent, the parton identities and x values agree with the initiator ones above, while the pdf values are unknown and therefore set to vanish. The alpha_s and alpha_em values are part of the compulsory information. The factorization and renormalization scales are both equated with the one compulsory scale value in the Les Houches standard, except when a #pdf line provides the factorization scale separately. If alpha_s, alpha_em or the compulsory scale value are negative at input then new values are defined as for internal processes.

int Info::id1pdf()  
int Info::id2pdf()  
the identities of the two partons for which parton density values are defined.

double Info::x1pdf()  
double Info::x2pdf()  
x fractions of the two partons for which parton density values are defined.

double Info::pdf1()  
double Info::pdf2()  
parton densities x*f(x,Q^2) evaluated for the two incoming partons; could be used e.g. for reweighting purposes in conjunction with the idpdf, xpdf and QFac methods. Events obtained from external programs or files may not contain this information and, if so, 0 is returned.

double Info::QFac()  
double Info::Q2Fac()  
the Q or Q^2 factorization scale at which the densities were evaluated.

double Info::alphaS()  
double Info::alphaEM()  
the alpha_strong and alpha_electromagnetic values used for the hard process.

double Info::QRen()  
double Info::Q2Ren()  
the Q or Q^2 renormalization scale at which alpha_strong and alpha_electromagnetic were evaluated.

double Info::scalup()  
returns the stored SCALUP value for Les Houches events, and else zero. It may agree with both the QFac() and QRen() values, as explained above. However, to repeat, should the input SCALUP scale be negative, separate positive factorization and renormalization scales are calculated and set as for internally generated events. Furthermore, when PDF info is supplied for the Les Houches event, the factorization scale is set by this PDF info (scalePDF), which can disagree with SCALUP.

Hard process kinematics

The methods in this section provide info on the kinematics of the hard processes, with special emphasis on 2 → 2 (diffraction excluded; see below).

double Info::mHat()  
double Info::sHat()  
the invariant mass and its square for the hard process.

double Info::tHat()  
double Info::uHat()  
the remaining two Mandelstam variables; only defined for 2 → 2 processes.

double Info::pTHat()  
double Info::pT2Hat()  
transverse momentum and its square in the rest frame of a 2 → 2 processes.

double Info::m3Hat()  
double Info::m4Hat()  
the masses of the two outgoing particles in a 2 → 2 processes.

double Info::thetaHat()  
double Info::phiHat()  
the polar and azimuthal scattering angles in the rest frame of a 2 → 2 process.

Diffraction

Information on the primary elastic or diffractive process (A B → A B, X1 B, A X2, X1 X2, A X B) can be obtained with the methods in the "Hard process kinematics" section above. The variables here obviously are s, t, u, ... rather than sHat, tHat, uHat, ..., but the method names remain to avoid unnecessary duplication. Most other methods are irrelevant for a primary elastic/diffractive process.

Central diffraction A B → A X B is a 2 → 3 process, and therefore most of the 2 → 2 variables are no longer relevant. The tHat() and uHat() methods instead return the two t values at the A → A and B → B vertices, and pTHat() the average transverse momentum of the three outgoing "particles", while thetaHat() and phiHat() are undefined.

While the primary interaction does not contain a hard process, the diffractive subsystems can contain them, but need not. Specifically, double diffraction can contain two separate hard subprocesses, which breaks the methods above. Most of them have been expanded with an optional argument to address properties of diffractive subsystems. This argument can take four values:

  • 0 : default argument, used for normal nondiffractive events or the primary elastic/diffractive process (see above);
  • 1 : the X1 system in single diffraction A B → X1 B or double diffraction A B → X1 X2;
  • 2 : the X2 system in single diffraction A B → A X2 or double diffraction A B → X1 X2;
  • 3 : the X system in central diffraction A B → A X B.
The argument is defined for all of the methods in the three sections above, "Hard process initiators", "Hard process parton densities and scales" and "Hard process kinematics", with the exception of the isValence methods. Also the four final methods of "The event type" section, the ...Sub() methods, take this argument. But recall that they will only provide meaningful answers, firstly if there is a system of the requested type, and secondly if there is a hard subprocess in this system. A simple check for this is that id1() has to be nonvanishing. The methods below this section do not currently provide information specific to diffractive subsystems, e.g. the MPI information is not bookkept in such cases.

Event weight and activity

double Info::weight()  
weight assigned to the current event. Is normally 1 and thus uninteresting. However, there are several cases where one may have nontrivial event weights. These weights must the be used e.g. when filling histograms.
(i) In the PhaseSpace:increaseMaximum = off default strategy, an event with a differential cross-section above the assumed one (in a given phase-space point) is assigned a weight correspondingly above unity. This should happen only very rarely, if at all, and so could normally be disregarded.
(ii) The User Hooks class offers the possibility to bias the selection of phase space points, which means that events come with a compensating weight, stored here.
(iii) For Les Houches events some strategies allow negative weights, which then after unweighting lead to events with weight -1. There are also Les Houches strategies where no unweighting is done, so events come with a weight. Specifically, for strategies +4 and -4, the event weight is in units of pb. (Internally in mb, but converted at output.)

double Info::weightSum()  
Sum of weights accumulated during the run. For unweighted events this agrees with the number of generated events. In order to obtain histograms normalized "per event", at the end of a run, histogram contents should be divided by this weight. (And additionally divided by the bin width.) Normalization to cross section also required multiplication by sigmaGen() below.

int Info::lhaStrategy()  
normally 0, but if Les Houches events are input then it gives the event weighting strategy, see Les Houches Accord.

int Info::nISR()  
int Info::nFSRinProc()  
int Info::nFSRinRes()  
the number of emissions in the initial-state showering, in the final-state showering excluding resonance decays, and in the final-state showering inside resonance decays, respectively.

double Info::pTmaxMPI()  
double Info::pTmaxISR()  
double Info::pTmaxFSR()  
Maximum pT scales set for MPI, ISR and FSR, given the process type and scale choice for the hard interactions. The actual evolution will run down from these scales.

double Info::pTnow()  
The current pT scale in the combined MPI, ISR and FSR evolution. Useful for classification in user hooks, but not once the event has been evolved.

double Info::mergingWeight()  
combined leading-order merging weight assigned to the current event, if tree-level multi-jet merging (i.e. CKKW-L or UMEPS merging) is attempted. If tree-level multi-jet merging is performed, all histograms should be filled with this weight, as discussed in CKKW-L Merging and UMEPS Merging.

double Info::mergingWeightNLO()  
combined NLO merging weight assigned to the current event, if NLO multi-jet merging (i.e. NL3 or UNLOPS merging) is attempted. If NLO multi-jet merging is performed, all histograms should be filled with this weight, as discussed in NLO Merging.

Multiparton interactions

As already noted, these methods do not make sense for diffractive topologies, and should not be used there. Partly this is physics, but mainly it is for technical reasons, e.g. that double diffraction involves two separate systems that would have to be bookkept as such.

double Info::a0MPI()  
The value of a0 when an x-dependent matter profile is used, MultipartonInteractions:bProfile = 4.

double Info::bMPI()  
The impact parameter b assumed for the current collision when multiparton interactions are simulated. Is not expressed in any physical size (like fm), but only rescaled so that the average should be unity for minimum-bias events (meaning less than that for events with hard processes).

double Info::enhanceMPI()  
The choice of impact parameter implies an enhancement or depletion of the rate of subsequent interactions, as given by this number. Again the average is normalized be unity for minimum-bias events (meaning more than that for events with hard processes).

int Info::nMPI()  
The number of hard interactions in the current event. Is 0 for elastic and diffractive events, and else at least 1, with more possible from multiparton interactions.

int Info::codeMPI(int i)  
double Info::pTMPI(int i)  
the process code and transverse momentum of the i'th subprocess, with i in the range from 0 to nMPI() - 1. The values for subprocess 0 is redundant with information already provided above.

int Info::iAMPI(int i)  
int Info::iBMPI(int i)  
are normally zero. However, if the i'th subprocess is a rescattering, i.e. either or both incoming partons come from the outgoing state of previous scatterings, they give the position in the event record of the outgoing-state parton that rescatters. iAMPI and iBMPI then denote partons coming from the first or second beam, respectively.

double Info::eMPI(int i)  
The enhancement or depletion of the rate of the i'th subprocess. Is primarily of interest for the MultipartonInteractions:bProfile = 4 option, where the size of the proton depends on the x values of the colliding partons. Note that eMPI(0) = enhanceMPI().

Cross sections

Here are the currently available methods related to the event sample as a whole, for the default value i = 0, and otherwise for the specific process code provided as argument. This is the number obtained with Info::code(), while the further subdivision given by Info::codeSub() is not bookkept. While continuously updated during the run, it is recommended only to study these properties at the end of the event generation, when the full statistics is available. The individual process results are not available if a second hard process has been chosen, but can be gleaned from the pythia.stat() output.

vector<int> Info::codesHard()  
returns a vector with all the process codes set up for the current run, i.e. the valid nonzero arguments for the five methods below.

string Info::nameProc(int i = 0)  
returns the process name for process code i.

long Info::nTried(int i = 0)  
long Info::nSelected(int i = 0)  
long Info::nAccepted(int i = 0)  
the total number of tried phase-space points, selected hard processes and finally accepted events, summed over all allowed processes (i = 0) or for the given process. The first number is only intended for a study of the phase-space selection efficiency. The last two numbers usually only disagree if the user introduces some veto during the event-generation process; then the former is the number of acceptable events found by PYTHIA and the latter the number that also were approved by the user. If you set a second hard process there may also be a mismatch.

double Info::sigmaGen(int i = 0)  
double Info::sigmaErr(int i = 0)  
the estimated cross section and its estimated error, summed over all allowed processes (i = 0) or for the given process, in units of mb. The numbers refer to the accepted event sample above, i.e. after any user veto.

Loop counters

Mainly for internal/debug purposes, a number of loop counters from various parts of the program are stored in the Info class, so that one can keep track of how the event generation is progressing. This may be especially useful in the context of the User Hooks facility.

int Info::getCounter(int i)  
the method that gives you access to the value of the various loop counters.
argument i : the counter number you want to access:
argumentoption 0 - 9 : counters that refer to the run as a whole, i.e. are set 0 at the beginning of the run and then only can increase.
argumentoption 0 : the number of successful constructor calls for the Pythia class (can only be 0 or 1).
argumentoption 1 : the number of times a Pythia::init(...) call has been begun.
argumentoption 2 : the number of times a Pythia::init(...) call has been completed successfully.
argumentoption 3 : the number of times a Pythia::next() call has been begun.
argumentoption 4 : the number of times a Pythia::next() call has been completed successfully.
argumentoption 10 - 19 : counters that refer to each individual event, and are reset and updated in the top-level Pythia::next() method.
argumentoption 10 : the number of times the selection of a new hard process has been begun. Normally this should only happen once, unless a user veto is set to abort the current process and try a new one.
argumentoption 11 : the number of times the selection of a new hard process has been completed successfully.
argumentoption 12 : as 11, but additionally the process should survive any user veto and go on to the parton- and hadron-level stages.
argumentoption 13 : as 11, but additionally the process should survive the parton- and hadron-level stage and any user cuts.
argumentoption 14 : the number of times the loop over parton- and hadron-level processing has begun for a hard process. Is reset each time counter 12 above is reached.
argumentoption 15 : the number of times the above loop has successfully completed the parton-level step.
argumentoption 16 : the number of times the above loop has successfully completed the checks and user vetoes after the parton-level step.
argumentoption 17 : the number of times the above loop has successfully completed the hadron-level step.
argumentoption 18 : the number of times the above loop has successfully completed the checks and user vetoes after the hadron-level step.
argumentoption 20 - 39 : counters that refer to a local part of the individual event, and are reset at the beginning of this part.
argumentoption 20 : the current system being processed in PartonLevel::next(). Is almost always 1, but for double diffraction the two diffractive systems are 1 and 2, respectively.
argumentoption 21 : the number of times the processing of the current system (see above) has begun.
argumentoption 22 : the number of times a step has begun in the combined MPI/ISR/FSR evolution downwards in pT for the current system.
argumentoption 23 : the number of times MPI has been selected for the downwards step above.
argumentoption 24 : the number of times ISR has been selected for the downwards step above.
argumentoption 25 : the number of times FSR has been selected for the downwards step above.
argumentoption 26 : the number of times MPI has been accepted as the downwards step above, after the vetoes.
argumentoption 27 : the number of times ISR has been accepted as the downwards step above, after the vetoes.
argumentoption 28 : the number of times FSR has been accepted as the downwards step above, after the vetoes.
argumentoption 29 : the number of times a step has begun in the separate (optional) FSR evolution downwards in pT for the current system.
argumentoption 30 : the number of times FSR has been selected for the downwards step above.
argumentoption 31 : the number of times FSR has been accepted as the downwards step above, after the vetoes.
argumentoption 40 - 49 : counters that are unused (currently), and that therefore are free to use, with the help of the two methods below.

void Info::setCounter(int i, int value = 0)  
set the above counters to a given value. Only to be used by you for the unassigned counters 40 - 49.
argument i : the counter number, see above.
argument value (default = 0) : set the counter to this number; normally the default value is what you want.

void Info::addCounter(int i, int value = 0)  
increase the above counters by a given amount. Only to be used by you for the unassigned counters 40 - 49.
argument i : the counter number, see above.
argument value (default = 1) : increase the counter by this amount; normally the default value is what you want.

Parton shower history

The following methods are mainly intended for internal use, e.g. for matrix-element matching.

void Info::hasHistory(bool hasHistoryIn)  
bool Info::hasHistory()  
set/get knowledge whether the likely shower history of an event has been traced.

void Info::zNowISR(bool zNowIn)  
double Info::zNowISR()  
set/get value of z in latest ISR branching.

void Info::pT2NowISR(bool pT2NowIn)  
double Info::pT2NowISR()  
set/get value of pT^2 in latest ISR branching.

Header information

A simple string key/value store, mainly intended for accessing information that is stored in the header block of Les Houches Event (LHE) files. In principle, any LHAup derived class can set this header information, which can then be read out later. Although the naming convention is arbitrary, in practice, it is dictated by the XML-like format of LHE files, see Les Houches Accord for more details.

string Info::header(string key)  
return the header named key

vector <string> Info::headerKeys()  
return a vector of all header key names

void Info::setHeader(string key, string val)  
set the header named key with the contents of val pythia8-8.1.86.orig/htmldoc/AdvancedUsage.html0000644000175000017500000002606212357553536017375 0ustar sunsun Advanced Usage

Advanced Usage

On this page we collect information on a number of classes that the normal user would not encounter. There are cases where the information is essential, however, for instance to implement your own showers.

The subsystems

One aspect that complicates administration is that an event can contain several subsystems, each consisting of one MPI and its associated ISR and FSR. To first approximation these systems are assumed to evolve independently, but to second they are connected by the interleaved evolution, and potentially by rescattering effects. The partons of a given subsystem therefore do not have to be stored consecutively.

The PartonSystems class is primarily used to keep track of the current positions of all partons belonging to each system, represented by the index iPos for a parton stored in the event-record slot event[iPos]. With "all" we mean the currently defined two incoming partons, or none for a resonance decay, and the current set of outgoing partons, but with all ISR and FSR intermediate-state partons omitted. That is, it stores all partons that could be subject to some action in the next step of the combined MPI/ISR/FSR/BR description. As a special case, an outgoing parton is stored even if it undergoes a rescattering, and thus no longer belongs to the final state proper.

The partonSystems instance of PartonSystems class is a public member of the Pythia top-level class, but is also available as a pointer partonSystemsPtr in various PartonLevel classes, e.g. inside the current instances of the TimeShower and SpaceShower classes.

A number of PartonSystems methods can be used to set or get information on the subsystems:

  • clear() resets all the contents in preparation for the next event.
  • addSys() add a new (initially empty) subsystem to the current list and return its index iSys in the list, where index 0 is the hardest subcollision and so on.
  • sizeSys() the number of separate subsystems.
  • setInA(iSys, iPos), setInB(iSys, iPos) store position iPos of the incoming parton from beam A or beam B to the iSys'th subcollision. These values are 0 initially, and should so remain if there are no beams, such as in resonance decays.
  • addOut(iSys, iPos) store position iPos of a new outgoing parton in the iSys'th subcollision, by appending it at the end of the current vector, with beginning in slot 0.
  • setOut(iSys, iMem, iPos) store position iPos in the iMem'th slot in the vector of outgoing partons in the iSys'th subcollision. Here iMem must be in the range already constructed by addOut calls.
  • replace(iSys, iPosOld, iPosNew) replace the existing incoming or outgoing parton position iPosOld by iPosNew in the iSys'th subcollision.
  • setSHat(iSys, sHat) set the invariant squared mass sHat of the iSys'th subcollision.
  • hasInAB(iSys) true if an incoming parton has been set for beam A or beam B (and hence should have been set for both) in the iSys'th subcollision, else false.
  • getInA(iSys), getInB(iSys) the position iPos of the incoming parton from beam A or beam B to the iSys'th subcollision.
  • sizeOut(iSys) the number of outgoing partons in the iSys'th subcollision.
  • getOut(iSys, iMem) the position iPos of an outgoing parton in the iSys'th subcollision, with the iMem range limited by sizeOut(iSys). These partons are not guaranteed to appear in any particular order.
  • sizeAll(iSys) the total number of incoming and outgoing partons in the iSys'th subcollision.
  • getAll(iSys, iMem) the position iPos of an incoming or outgoing parton in the iSys'th subcollision. In case there are beams it gives same as getInA(iSys) and getInB(iSys) for indices 0 and 1, and thereafter agrees with getOut(iSys, iMem) offset two positions. If there are no beams it is identical with getOut(iSys, iMem).
  • getSHat(iSys) the invariant squared mass sHat of the iSys'th subcollision.
  • list() print a listing of all the system information, except for the sHat values.

New systems are created from the hard process and by the MPI, not from any of the other components. Both FSR and ISR modify the position of partons, however. Since an FSR or ISR branching typically implies a new state with one more parton than before, an outgoing parton must be added to the system. Furthermore, in a branching, several existing partons may also be moved to new slots, including the incoming beam ones. In a FSR 1 → 2 branching it is irrelevant which parton position you let overwrite the existing slot and which is added to the end of the system.

The system information must be kept up-to-date. Both the MPI, ISR, FSR and BR descriptions make extensive use of the existing information. As an example, the introduction of primordial kT in the beam remnants will fail if the information on which final-state partons belong to which system is out-of-date. The introduction of rescattering as part of the MPI framework adds further complications, where an outgoing parton of one subsystem may be the incoming one of another system. This part of the code is still under development.

Currently the system information is kept throughout the continued history of the event. Specifically, resonance decays create new systems, appended to the existing ones. This could be useful during the hadronization stage, to collect the partons that belong to a resonance with preserved mass when a small string collapses to one particle, but is not yet used for that.

The beams

The different subsystems are tied together by them sharing the same initial beam particles, and thereby being restricted by energy-momentum and flavour conservation issues. The information stored in the two beam particles, here called beamA and beamB, is therefore as crucial to keep correct as the above subsystem list.

Both beam objects are of the BeamParticle class. Each such object contains a vector with the partons extracted from it. The number of such partons, beamX.size() (X = A or B), of course is the same as the above number of subsystems in the event record. (The two diverge at the BR step, where further beam remnants are added to the beams without corresponding to new subsystems.) The individual partons are accessed by an overloaded indexing operator to a vector of ResolvedParton objects. The iPos() property corresponds to the iPos one above, i.e. providing the position in the main event record of a parton. In particular, beamA[iSys].iPos() = partonSystemsPtr->getInA(iSys) and beamB[iSys].iPos() = partonSystemsPtr->getInB(iSys). Whereas thus the indices of the two incoming partons to a subsystem are stored in two places, the ones of the outgoing partons only appear in the system part of the PartonSystems class.

Just as the subsystems in PartonSystems must be updated, so must the information in the two BeamParticle's, e.g. with methodsbeamX[iSys].iPos( iPosIn) when an incoming parton is replaced by a new one in line iPosIn. Furthermore the new parton identity should be set by beamX[iSys].id( idIn) and the new x energy-momentum fraction by beamX[iSys].x( xIn). The three can be combined in one go by beamX[iSys].update( iPosIn, idIn, xIn).

To be specific, it is assumed that, at each step, the two incoming partons are moving along the +-z axis and are massless. Since the event is constructed in the c.m. frame of the incoming beams this implies that x = 2 E / E_cm. If the x values are not defined accordingly or not kept up-to-date the BR treatment will not conserve energy-momentum.

In return, the BeamParticle objects give access to some useful methods. The beamX.xf( id, x, Q2) returns the standard PDF weight x f_id(x, Q^2). More interestingly, beamX.xfISR( iSys, id, x, Q2) returns the modified weight required when several subsystems have to share the energy and flavours. Thus iSys is added as an extra argument, and the momentum already assigned to the other subsystems is not available for evolution, i.e. the maximal x is correspondingly smaller than unity. Also flavour issues are handled in a similar spirit.

An additional complication is that a parton can be either valence or sea, and in the latter case the BR treatment also distinguishes companion quarks, i.e. quark-antiquark pairs that are assumed to come from the same original g → q qbar branching, whether perturbative or not. This can be queried either with the beamX[iSys].companion() method, for detailed information, or with the beamX[iSys].isValence(), beamX[iSys].isUnmatched() and beamX[iSys].isCompanion() methods for yes/no answers whether a parton is valence, unmatched sea or matched sea. This choice should affect the ISR evolution; e.g., a valence quark cannot be constructed back to come from a gluon.

To keep this info up-to-date, the beamX.pickValSeaComp() method should be called whenever a parton of a new flavour has been picked in the ISR backwards evolution, but not if the flavour has not been changed, since then one should not be allowed to switch back and forth between the same quark being considered as valence or as sea. Since the pickValSeaComp() method makes use of the current parton-density values, it should be preceded by a call to beamX.xfISR( iSys, id, x, Q2), where the values in the call are the now finally accepted ones for the newly-found mother. (Such a call is likely to have been made before, during the evolution, but is not likely to be the most recent one, i.e. still in memory, and therefore had better be redone.) pythia8-8.1.86.orig/htmldoc/ExternalDecays.html0000644000175000017500000000646312357553536017621 0ustar sunsun External Decays

External Decays

DecayHandler is a base class for the external handling of decays. It is intended for normal particle decays, primarily B mesons and tau, and cannot be used to redirect decays of heavy resonances like t or Z^0. The user-written derived class is called if a pointer to it has been given with the pythia.decayPtr() method, where it also is specified which particles it will be called for. This particle information is accessible with the doExternalDecay() method.

There is only one pure virtual method in DecayHandler, to do the decay:

virtual bool DecayHandler::decay(vector<int>& idProd, vector<double>& mProd, vector<Vec4>& pProd, int iDec, const Event& event)  
where
argument idProd : is a list of particle PDG identity codes,
argument mProd : is a list of their respective masses (in GeV), and
argument pProd : is a list of their respective four-momenta.

At input, these vectors each have size one, so that idProd[0], mProd[0] and pProd[0] contain information on the particle that is to be decayed. At output, the vectors should have increased by the addition of all the decay products. Even if initially defined in the rest frame of the mother, the products should have been boosted so that their four-momenta add up to the pProd[0] of the decaying particle.

Should it be of interest to know the prehistory of the decaying particle, e.g. to set some helicity information affecting the decay angular distribution, the full event record is available read-only, with info in which slot iDec the decaying particle is stored.

The routine should return true if it managed the decay and false otherwise, in which case Pythia will try to do the decay itself. This e.g. means you can choose to do some decay channels yourself, and leave others to Pythia. To avoid double-counting, the channels you want to handle should be switched off in the Pythia particle database. In the beginning of the external decay method you should then return false with a probability given by the sum of the branching ratios for those channels you do not want to handle yourself.

Note that the decay vertex is always set by Pythia, and that B-Bbar oscillations have already been taken into account, if they were switched on. Thus idProd[0] may be the opposite of event[iDec].id(), where the latter provides the code at production.

A sample test program is available in main17.cc, providing a simple example of how to use this facility. pythia8-8.1.86.orig/htmldoc/UMEPSMerging.html0000644000175000017500000002325212357553536017103 0ustar sunsun UMEPS Merging

Unitarised Matrix Element + Parton Shower Merging

Pythia offers the possibility to use the unitarised matrix element + parton shower merging scheme, as presented in [Lon12]. Unitarised ME+PS merging (UMEPS) allows for a consistent inclusion of tree-level multi-parton matrix elements into Pythia, and prevents potential changes in the inclusive production cross section. This makes it theoretically more appealing than CKKW-L merging. As in CKKW-L, UMEPS merging requires the user to supply Les Houches Event File input.

UMEPS is different from other tree-level merging schemes in that it contains events with negative weights. These are generated by constructing parts of no-emission probabilities by reweighted higher-multiplicity samples [Lon12]. The main philosophy of UMEPS is "subtract what you add", meaning that in order to ensure the stability of the inclusive cross section, one has to counter the inclusion of additional tree-level matrix elements by "subtraction terms".

The scheme closely reflects how unitarity is achieved in a non-merged shower, and indeed explicitly enforces the cancellations that are implicitly happening in a non-merged shower. This makes very low merging scale values possible.

The usage of UMEPS is illustrated in the sample main program main86.cc, together with the input file main86.cmnd.

Unitarised merging is heavily indebted to CKKW-L merging, and shares many settings with CKKW-L. In particular,

         The hard process (Merging:Process)needs to be defined exactly as in CKKW-L (see Defining the hard process in the CKKW-L documentation).

         The merging scale value (Merging:TMS) has to be set.

         The maximal number of additional partons Merging:nJetMax has to be set.

UMEPS further shares the switches listed under the sections "Matrix element merging and HepMC output for RIVET" and "Further variables" in the CKKW-L documentation with CKKW-L merging. Also, all MergingHooks routines that allow for user interference in CKKW-L merging are also usable for UMEPS -- with the exception of a user-defined merging scale. Currently, UMEPS is only implemented for a merging scale defined by the minimal Pythia evolution pT value between sets of radiator, emitted and recoiler partons. This is no fundamental limitation of the method, and will possibly be lifted in the future. Since this merging scale definition is not completely obvious, UMEPS also shares the Merging:enforceCutOnLHE switch with CKKW-L. In this way, it is possible to use LHE files that are regularised only with weak cuts as input, while the merging machinery imposes the stronger merging scale cut automatically. This means that no merging scale implementation is required from the user side, but also means that it is the user's responsibility to ensure that the cuts used for generating input LHE files are always looser than the cut given by the merging scale value Merging:TMS.

UMEPS merging with main86.cc

The UMEPS procedure is illustrated in the sample main program main86.cc (with the input card main86.cmnd). This program produces HepMC events [Dob01], that can be histogrammed (e.g. using RIVET [Buc10]), or used as input for a detector simulation. If the user is not familiar with HepMC analysis tools, it is possible to instead use Pythia's histogramming routines. For this, remove the lines referring to HepMC, and histogram events as illustrated (for CKKW-L) for the histogram histPTFirstSum in main84.cc, i.e. using weight*normhepmc as weight.

In principle, no changes to main86.cc are necessary. Instead, all settings can be transferred to main86.cc through an input file. The input LHE files are also part of the (command line) input of main86.cc. Note that the sample program assumes that LHE file names are of the form name_tree_#nAdditionalJets.lhe. If you want to e.g. use the LHE files that are shipped with the Pythia distribution, you can execute main86.exe with the command

./main86.exe ./main86.cmnd ./w_production ./myhepmc.hepmc

Since main86.cc is currently the "front-end" for UMEPS merging, we will briefly discuss this sample program in the following.

Inputs

In its current form, main86.cc uses separate tree-level LHE files for different numbers of additional partons as input. If e.g. UMEPS merging for W-boson + up to two additional partons is to be performed, three LHE files (for W+zero, W+one, W+two partons) are required. The configurations in the input files should be regularised with inclusive (i.e. weak) cuts. The actual "merging scale cut" will be handled internally. If e.g. Merging:TMS = 15 is the desired merging scale value, it is acceptable to regularise the matrix element calculation for Higgs+jets events at the LHC with the loose cuts pTjet = 5 GeV, ΔRjetA jetB = 0.01 and QjetA jetB = 5 GeV.

All input settings are handed to main86.cc in the form of an input file. This input file has to contain

         The number of desired events (Main:numberOfEvents)

         The hard process (Merging:Process)

         The merging scale value (Merging:TMS)

         The maximal number of additional partons (Merging:nJetMax).

Other settings are of course allowed. However, please refrain from adding switches that are used to invoke other merging schemes (e.g. Merging:doKTMerging) into the input file, since this can cause problems.

Program flow

The sample program starts by estimating the cross section for samples with different jet multiplicities. For this, the switch Merging:doXSectionEstimate is invoked together with the merging scale definition of Merging:doUMEPSTree, which corresponds to the minimal Pythia evolution pT value. We will come back to the latter switch below. All showering, multiparton interactions and hadronisation is, for speed reasons, switched off when estimating the cross section, since the hard cross section estimate would not be influenced by the event evolution anyway.

After the hard cross sections are known (including the application of the merging scale cut), the first part of the UMEPS events is generated by using the following switch.

flag  Merging:doUMEPSTree   (default = off)
Reweight events according to the UMEPS prescription for tree-level configurations.

The weight generated by the UMEPS procedure can be accessed by using the function double Info::mergingWeight(). When printing (or histogramming) merged events, this weight, multiplied with the estimated cross section for the current sample, should be used as event weight (or to fill histogram bins).

After this first part is complete, the outcome is an addition of reweighted tree-level samples. To restore the inclusive cross section (i.e. that the cross section after merging corresponds to the cross section of the hard process, without any additional jets), it is necessary to subtract samples. Parton shower unitarity leads to the conclusion that "resolved" and "unresolved" corrections always cancel between states that contain an additional resolved jet, and states in which we "integrate over" the phase space of the additional jet. main86.cc makes this cancellation explicit by producing (correctly weighted) counter events by switching on

flag  Merging:doUMEPSSubt   (default = off)
Reweight events according to the UMEPS prescription of reweighted, integrated configurations. Please note that, in order for this to work smoothly, the switch Merging:doUMEPSTree has to be turned off.

The integration is achieved internally, and the number of desired integrations (which is always one for UMEPS counter events) is set by

mode  Merging:nRecluster   (default = 0; minimum = 0)
Number of hard partons to integrate out in the UMEPS procedure.

Again, the weight generated by the UMEPS procedure can be accessed by using the function double Info::mergingWeight(). This weight, multiplied with the cross section of the current sample, and multiplied by -1, should then be used as event weight (or to fill histogram bins).

Before returning, main86.cc prints the merged cross section after UMEPS merging. pythia8-8.1.86.orig/htmldoc/JetMatching.html0000644000175000017500000007554212357553536017107 0ustar sunsun Jet Matching

Jet Matching

This manual page describes the parton-jet matching interfaces for PYTHIA8. In this approach, usually referred to as MLM matching [Man02, Man07], the final jets after parton-shower evolution and jet clustering are matched to the original partons. The event is accepted if a reasonable match is found, and rejected if not. The rejection step in an approximate way introduces a Sudakov form factor on to the hard processes. Notably the parton shower should not generate an emission that would doublecount hard activity already included in the matrix-element description. Within this general ansatz, different technical solutions can be adopted. We provide two alternatives, one based on the algorithm used in ALPGEN [Man03], and another on the one used in Madgraph [Alw11], both reimplemented from scratch here. The main points of these two algorithms are outlined further down on this page.

We also allow for two alternative sources of external events, one in the ALPGEN native format and one in the Madgraph LHEF-based one. All four combinations of input format and matching style are implemented. In the following it is therefore important to keep the two aspects apart, whenever the ALPGEN and Madgraph labels are used.

Currently all the files of interest are located in the examples/ subdirectory:

  • JetMatching.h contains the machinery for the parton-jet matching, in the two JetMatchingAlpgen and JetMatchingMadgraph classes.
  • GeneratorInput.h contains three classes for the reading of ALPGEN event and parameter files, and one for the reading of Madgraph parameters.
  • CombineMatchingInput.h contains three classes that combine the reading of events with the matching of them.
  • main32.cc, main32.cmnd : a sample main program and card file showing the usage of the previous files/classes.

Event input source

External sources of partons are used in the parton-jet matching process. The source of the partons has been separated from the implementation of the matching algorithm. By default, PYTHIA8 contains a machinery to process Les Houches Event Files (LHEFs) as described on the Les Houches Accord and Beam Parameters pages. Madgraph5 adheres to this format, but also contains some further non-standardized information that can be used. The parsing of the native ALPGEN file format is described on the Alpgen Event Interface page.

Commonly, the source of external partons also contains information about how a particular type of matching algorithm should be employed. This information is handled by the AlpgenPar class for ALPGEN files, and MadgraphPar for LHEFs. The user can choose to set default matching parameters using the Alpgen:setMLM flag for ALPGEN files. For LHEFs, instead, the setting of default parameters is controlled with the JetMatching:setMad flag:

flag  JetMatching:setMad   (default = on)
When enabled, the merging parameters are set according to the values in the LHEF header. Specifically, the header must set the ickkw, xqcut, maxjetflavor and alpsfact values, and ickkw must be nonzero. Note that these labels are Madgraph-specific. For other programs with LHEF output, or for Madgraph files lacking this information, these parameters should be set by the user (or one can rely on the default values). The following parameters (described below) must then be specified:

  • JetMatching:doMerge = ickkw,
  • JetMatching:qCut = xqcut,
  • JetMatching:nQmatch = maxjetflavor,
  • JetMatching:clFact = alpsfact.
With this flag on, the values from the LHEF for these parameters take precedence over other values.

Jet Matching parameters

A class JetMatching, derived from UserHooks, is used to define the basic structure of a parton-jet matching algorithm. Two versions are implemented here, based on the FORTRAN code provided by the ALPGEN and Madgraph packages, respectively: JetMatchingAlpgen and JetMatchingMadgraph. The matching parameters are defined with the JetMatching:* keyword.

Scheme and Usage

flag  JetMatching:merge   (default = off)
Master switch to activate parton-jet matching. When off, all external events are accepted (unless they are rejected due to weighting or event processing problems).

mode  JetMatching:scheme   (default = 1; minimum = 1; maximum = 2)
The parton-jet MLM-style matching scheme.
option 1 : The one inspired by the Madgraph matching code, here implemented in the JetMatchingMadgraph class.
option 2 : The one inspired by the ALPGEN matching code, here implemented in the JetMatchingAlpgen class.

Jet algorithm

The choice of jet algorithm and associated parameters can be adjusted with the settings below. The PYTHIA8 internal CellJet and SlowJet routines are used for jet finding. See the Event Analysis page for more details.

mode  JetMatching:jetAlgorithm   (default = 1; minimum = 1; maximum = 2)
The choice of jet algorithm to use when merging against hard partons. Currently, only SlowJet with the kT algorithm (and useStandardR = false) is supported for Madgraph-style matching, while there is full freedom for the ALPGEN-style matching.
option 1 : The CellJet cone algorithm.
option 2 : The SlowJet clustering algorithm.

mode  JetMatching:slowJetPower   (default = -1; minimum = -1; maximum = 1)
The power to use in the SlowJet algorithm.
option -1 : The anti-kT algorithm.
option 0 : The Cambridge/Aachen algorithm.
option 1 : The kT algorithm.

mode  JetMatching:nEta   (default = 100; minimum = 50)
Specific to the CellJet algorithm, the number of bins in pseudorapidity.

mode  JetMatching:nPhi   (default = 60; minimum = 30)
Specific to the CellJet algorithm, the number of bins in phi.

parm  JetMatching:eTseed   (default = 1.5; minimum = 0.0)
Specific to the CellJet algorithm, the minimum eT for a cell to be acceptable as the trial center of a jet.

parm  JetMatching:eTthreshold   (default = 0.1)
Specific to the CellJet algorithm, cells with eT < eTthreshold are completely neglected by the jet algorithm.

Merging parameters

The following options are the three main parameters for the merging procedure. Although here they are in principle free parameters, they should be heavily influenced by the hard process generation cuts. These values can be set automatically based on the information in the ALPGEN file or LHEF.

parm  JetMatching:eTjetMin   (default = 20.0; minimum = 5.0)
For the CellJet algorithm, this gives the minimum transverse energy inside a cone for a jet to be accepted. For the SlowJet algorithm, this is instead the minimum transverse momentum required for a cluster to be accepted as a jet. For Madgraph-style matching, this parameter should match the qCut parameter described later.

parm  JetMatching:coneRadius   (default = 0.7; minimum = 0.1)
For the CellJet algorithm, this gives the size of the cone in (eta, phi) space drawn around the geometric center of the jet. For the SlowJet algorithm, this gives the R parameter.

parm  JetMatching:etaJetMax   (default = 2.5; minimum = 0.1)
For both jet algorithms, this defines the maximum pseudorapidity that the detector is assumed to cover. In this context, however, it is tied to the phase space region in which partons have been generated. For the Alpgen-style matching, particles within etaJetMax + coneRadius are passed to the jet algorithm, with only jets within etaJetMax retained in the merging. For the Madgraph-style matching, only particles within etaJetMax are used.

Exclusive mode

The following settings determine whether clustered jets which do not match an original hard parton are allowed. They are typically permitted in the highest jet multiplicity sample, where the parton shower may produce extra hard jets, without risk of double counting. Any extra jet produced by the shower must be softer than any matched light jet, or else the event is vetoed.

mode  JetMatching:exclusive   (default = 2; minimum = 0; maximum = 2)
Exclusive or inclusive merging.
option 0 : The merging is run in inclusive mode. All partons must match jets, but additional jets are allowed, provided they are not harder than the matched jets.
option 1 : The merging is run in exclusive mode. All partons must match jets, and no additional jets are allowed.
option 2 : If nJet < nJetMax, then the merging is run in exclusive mode, otherwise it is run in inclusive mode. For Madgraph-style matching, this is checked on an event-by-event basis, which is useful when an LHEF contains a "soup" of partonic multiplicities. If nJetMax < 0 or nJet < 0, then the algorithm defaults to exclusive mode.

mode  JetMatching:nJet   (default = -1; minimum = -1)
When JetMatching:exclusive = 2, nJet indicates the minimum number of additional light jets in the incoming process. This value may be set automatically.

mode  JetMatching:nJetMax   (default = -1; minimum = -1)
When JetMatching:exclusive = 2, nJetMax is used to indicate the maximum number of jets that will be matched.

Jet matching

The following parameters control the criteria for matching a clustered jet to a hard parton.

mode  JetMatching:jetAllow   (default = 1; minimum = 1; maximum = 2)
Controls which particles are clustered by the jet algorithm.
option 1 : This option explicitly disallows top quarks, leptons and photons. All other particle types are passed to the jet algorithm.
option 2 : No extra particles are disallowed.

Alpgen-specific parameters

mode  JetMatching:jetMatch   (default = 1; minimum = 1; maximum = 2)
Criteria for matching a clustered jet to a parton.
option 1 : This option can be used with both the CellJet and SlowJet algorithms. The delta R between each parton and jet is taken, and the minimal value compared against coneMatchLight * coneRadius for light jets or coneMatchHeavy * coneRadiusHeavy for heavy jets. Note that by default coneRadiusHeavy = coneRadius, see below. If below this value, the parton and jet are considered to match. With CellJet, the delta R measure is in (eta, phi), while with SlowJet it is in (y, phi).
option 2 : This option can only be used with the SlowJet algorithm. The hard partons are inserted into the parton level event as "ghost" particles, but at the correct (y, phi) position. If this particle is then clustered into a jet, it is considered a match.

parm  JetMatching:coneMatchLight   (default = 1.5; minimum = 0.1)
The coneMatchLight parameter used when JetMatching:jetMatch = 1.

parm  JetMatching:coneRadiusHeavy   (default = -1.0)
The coneRadiusHeavy parameter used when JetMatching:jetMatch = 1. When assigned a negative value, the value of JetMatching:coneRadius is used.

parm  JetMatching:coneMatchHeavy   (default = 1.0; minimum = 0.1)
The coneMatchHeavy parameter used when JetMatching:jetMatch = 1.

Madgraph-specific parameters

flag  JetMatching:doShowerKt   (default = off)
This switch changes the merging prescription to the shower-kT matching scheme outlined in [Alw08]. This scheme differs from "classical" MLM jet matching with respect to when the matching veto is checked. The shower-kT scheme considers already immediately after the first shower emission if an event should be discarded. A detailed comparison of the "classical" MLM prescription (e.g. Madgraph-style matching with JetMatching:doShowerKt = off) and the shower-kT scheme are in preparation.

parm  JetMatching:qCut   (default = 10.0; minimum = 0.0)
kT scale for merging shower products into jets.

mode  JetMatching:nQmatch   (default = 5; minimum = 3; maximum = 6)
Controls the treatment of heavy quarks.
option 5 : All quarks (except top) are treated as light quarks for matching.
option 4 : Bottom quarks are treated separately. Currently, they are unmatched.

parm  JetMatching:clFact   (default = 1.0)
The clFact parameter determines how jet-to parton matching is done. A match is defined as a squared cluster scale that equals:
|clFact| * qCut for inclusive mode,
|clFact| * max(qCut,min(pT(parton))) for exclusive mode, clFact ≥ 0, or
|clFact| * min(kT(parton)) for exclusive mode, clFact < 0.

A preliminary implementation of the FxFx prescription for combining multiple NLO calculations [Fre12] is available. We would like to stress that this implementation is still undergoing validation. FxFx merging with aMC@NLO shares most parameters with the leading-order (MadGraph-style) MLM prescriptions and can be activated by using the three additional settings below.

flag  JetMatching:doFxFx   (default = off)
If turned on, then FxFx merging with aMC@NLO inputs is performed. Note that this requires event samples that are specifically generated for this task.

mode  JetMatching:nPartonsNow   (default = -1)
The number of partons in Born-like events for the current input LHEF. If the current sample e.g. contains pp → e+e- + 2 partons Born-like configurations, and pp → e+e- + 3 partons Real-emission-type events, then JetMatching:nPartonsNow = 2 applies.

parm  JetMatching:qCutME   (default = 10.0)
The cut applied to regulate multi-jet matrix elements. Note that this cut can differ from the matching scale.

Alpgen-style parton-jet matching and merging

This section describes the Alpgen-style MLM merging algorithm for PYTHIA8. The most common reference to the algorithm is [Man02]. In many respects, however, the implementation provided in the ALPGEN package should be considered the official description of the MLM merging procedure. Although designed primarily to work with events generated with ALPGEN, it can in principle also be used with events from a different source. This should not be done without thought, however, and it is up to the user to understand the details of the algorithm and the implications of using a different hard process generator.

First, either the CellJet or SlowJet jet algorithm is chosen. Both of these algorithms have an R and an etaMax parameter. In addition, CellJet has an eTmin and SlowJet has a pTmin parameter. These are the primary three parameters of the merging procedure, and in practice are set dependent on the cuts applied to the matrix element (ME) generation. We stress that the merging procedure is not tied to the geometry of a specific physical detector, but only to the match between the original partons and the resulting jets, using standard jet algorithms in the phase space region where partons have been generated.

ME samples with different jet multiplicities are run through the event generator, and the generation interrupted after parton showers have been applied, but before resonance decays and beam remnants have been processed. Note in particular that top quarks will not yet be decayed, which may lead to slight differences with the PYTHIA 6 interface included with the ALPGEN package. In what follows, the hardness measure of jets/partons is taken to be eT when CellJet is used and pT when SlowJet is used. The hard system (ignoring all MPI systems) is then analysed:

  • The particles in the original matrix element process are sorted into light partons, heavy partons and other particles. For backwards compatibility, a light parton is defined as the set (d, u, s, c, b, g) with zero mass. A heavy parton is defined as the set (c, b, t) with non-zero mass.
  • All particles not originating from the heavy partons or other particles are passed to the jet algorithm and clustered.
  • Clustered jets are matched to the light partons in the original ME process. There are two different methods which can be used:
    • Method 1: The following is done for each parton, in order of decreasing hardness. The delta R between the parton and all jets is calculated and the smallest value taken. If this is less than the jet R parameter, possibly multiplied by a constant, the jet and parton are considered to match, and the jet is removed from further consideration. Note that for CellJet the delta R measure is in (eta, phi), while for SlowJet, it is in (y, phi).
    • Method 2: This method is only possible when using the SlowJet algorithm. Before the clustering is performed, extremely soft "ghost" particles are added to the event at the (y, phi) coordinates of the original matrix element partons. If such a particle is clustered into a jet, the parton and jet are considered to match. The idea of "ghost" particles was originally introduced by FastJet as a way to measure jet areas [Cac06] and should not affect clustering with an infrared-safe jet algorithm.
  • If there is a light ME parton remaining which has not been matched to a jet, then the event is vetoed. If all ME partons have been matched to a jet, but there are still some extra jets remaining, then two options are possible:
    • Exclusive mode: the event is vetoed. This is typically used when there are ME samples with higher jet multiplicities, which would fill in the extra jets.
    • Inclusive mode: the event is retained if the extra jets are softer than the softest matched jet. This is typically used when there is no ME sample with higher jet multiplicity, so the parton shower should be allowed to give extra jets.
  • All particles originating from the heavy partons are passed to the jet algorithm and clustered.
  • The clustered jets are again matched to the original partons, but there is no requirement for a match to be present; all matched jets are immediately discarded. The matching procedure is much the same as for light partons, but with two differences when delta R matching is used. First, a different R parameter than that used by the jet algorithm may optionally be given. Second, all jets that are within the given radius of the parton are matched, not just the one with the smallest delta R measure. If there are still extra jets remaining then in exclusive mode the event is immediately vetoed, while in inclusive mode the event is retained if the extra jets are softer than the softest light matched jet.

Some different options are provided, specified further above in the parameters section. These are set so that, by default, the algorithm closely follows the official MLM interface provided in the ALPGEN package.

All vetoing of events is done through the usual User Hooks machinery, and is therefore already taken into account in the cross section. In the output from Pythia::stat(), the difference between the "Selected" and "Accepted" columns gives the number of events that have not survived the vetoing procedure. It is still the responsibility of the user to add together the results from runs with different jet multiplicities. In the simplest case, when ALPGEN input is used and the hard process parameters are used to guide the merging procedure, it is enough to set the JetMatching:nJetMax parameter.

Madgraph-style parton-jet Merging and Matching

This section describes the Madgraph-style parton-jet matching algorithm for PYTHIA8.

First, the kT jet algorithm is applied using the PYTHIA8 SlowJet implementation. The useStandardR = false is used, ie. the (delta R)^2 separation is defined as 2 (cosh(delta y) - cos(delta phi)) rather than the more common (delta y)^2 + delta phi)^2. The R, etaMax, and a pTmin parameters are specified. By default, R = 1 and pTmin = qCut . It is not recommended to change these. These should match the algorithm parameters used in the Madgraph Matrix Element (ME) generation.

ME samples with different jet multiplicities are run through the event generator, and the generation is interrupted after parton showers have been applied, but before resonance decays and beam remnants have been processed. In what follows, the hardness measure of jets/partons is taken to be kT relative to qCut. The hard system (ignoring all MPI systems) is analyzed:

  • The hard partons in the original matrix element process, provided by the LHEF, are sorted into light partons, heavy partons and other particles. A heavy parton is defined by the JetMatching:nQmatch or by the maxjetflavor value in the LHEF. nQmatch refers to the absolute value of the quark PDG identity code.
  • All partons arising from the parton shower are sorted based on their motherhood. A showered parton arising from a heavy parton or "other" parton classified in the previous step is not passed to the jet algorithm. All other partons are clustered into light jets.
  • It is checked whether there are "too few" or "too many" light jets. If the number of light jets is less than the number of light partons defined by nQmatch, the event is vetoed. If the number is larger, the event is vetoed only in exclusive mode (defined below).
  • In exclusive mode, the number of jets matches the number of light partons. In inclusive mode, the jets are re-clustered until the number of jets equals the number of light partons. Next, each light hard parton is clustered, one at a time, with the jets until a match is found. A match is defined as a squared cluster scale that equals:
    • |clFact| * qCut for inclusive mode,
    • |clFact| * max(qCut,min(pT(parton))) for exclusive mode, clFact ≥ 0, or
    • |clFact| * min(kT(parton)) for exclusive mode, clFact < 0.
    If no match is found, the event is vetoed. When a parton matches a jet, the jet is removed from the collection, and the process continues. The process terminates when all partons are matched to a jet, or a parton is unmatched.
  • All particles originating from the heavy partons are not used.
In exclusive mode, it is expected that ME samples with higher parton multiplicity are available to fill the phase space above qCut. The inclusive mode is when there are no such samples, and the parton shower is used to fill the phase space.

Some different options are provided, specified further above. These are set so that, by default, the algorithm closely follows the FORTRAN interface ME2Pythia provided in the Madgraph package.

All vetoing of events is done through the usual User Hooks machinery, and is therefore already taken into account in the cross section. In the output from Pythia::stat(), the difference between the "Selected" and "Accepted" columns gives the number of events that have not survived the vetoing procedure. It is still the responsibility of the user to add together the results from runs with different jet multiplicities. In the simplest case, when the hard process parameters are used to guide the merging procedure, events will be matched in the exclusive mode.

A note on combining UserHooks

As have been noted above, the matching is implemented using classes derived from the UserHooks class, thereby gaining access to the event generation process at the relevant locations. For native ALPGEN files, which do not adhere to the Les Houches standards, it is also necessary to intervene with a UserHooks-derived AlpgenHooks to handle the extraction and setting of relevant extra information.

One must then combine multiple UserHooks classes, such that the functionality of both is present. A prerequisite is that the different UserHooks classes should be declared with virtual inheritance, e.g. 

 
  class JetMatching : virtual public UserHooks
Without this option, when combining two UserHooks-derived classes, two copies of the base UserHooks class would be created, leading to ambiguities.

The two first classes in CombineMatchingInput.h combine ALPGEN input with the two different matching schemes, e.g. for the first 

 
class JetMatchingAlpgenInputAlpgen : public AlpgenHooks, 
  public JetMatchingAlpgen { 
public: 
  // Constructor and destructor. 
  JetMatchingAlpgenInputAlpgen(Pythia& pythia) : AlpgenHooks(pythia), 
    JetMatchingAlpgen() { } 
  ~JetMatchingAlpgenInputAlpgen() {} 
  // Initialisation. 
  virtual bool initAfterBeams() { 
    if (!AlpgenHooks::initAfterBeams()) return false; 
    if (!JetMatchingAlpgen::initAfterBeams()) return false; 
    return true; 
  } 
  // Process level vetos. 
  virtual bool canVetoProcessLevel() { 
    return JetMatchingAlpgen::canVetoProcessLevel(); 
  } 
  .... 
};
This class inherits from both AlpgenHooks and JetMatchingAlpgen. Any functions which are present in both classes should be overridden with a function that calls the different parent methods in the desired order. In the above example, the only shared methods are the constructor and initAfterBeams(). pythia8-8.1.86.orig/htmldoc/ResonanceDecays.html0000644000175000017500000005014412357553535017746 0ustar sunsun Resonance Decays

Resonance Decays

The ResonanceDecays class performs the sequential decays of all resonances formed in the hard process. Note the important distinction between "resonances" and other "particles" made in PYTHIA.
  • The list of resonances contains gamma^*/Z^0, W^+-, top, the Higgs, and essentially all new particles of Beyond-the-Standard-Model physics: further Higgs bosons, sfermions, gauginos, techniparticles, and so on. The partial widths to different decay channels are perturbatively calculable, given the parameters of the respective model, and branching ratios may be allowed to vary across a (reasonably broad) resonance peak. Usually resonances are short-lived, and therefore it makes sense to consider their decays immediately after the primary hard process has been set up. Furthermore, in several cases the decay angular distributions are encoded as part of the specific process, e.g. the W decays differently in f fbar → W^+-, f fbar → W^+ W^- and h^0 → W^+ W^- . All of these particles are (in PYTHIA) only produced as part of the hard process itself, i.e. they are not produced in showers or hadronization processes. Therefore the restriction to specific decay channels can be consistently taken into account as a corresponding reduction in the cross section of a process. Finally, note that all of these resonances have an on-shell mass above 20 GeV, with the exception of some hypothetical weakly interacting and stable particles such as the gravitino.
  • The other particles include normal hadrons and the Standard-Model leptons, including the tau^+-. These can be produced in the normal hadronization and decay description, which involve unknown nonperturbative parameters and multistep chains that cannot be predicted beforehand: a hard process like g g → g g can develop a shower with a g → b bbar branching, where the b hadronizes to a B^0bar that oscillates to a B^0 that decays to a tau^+. Therefore any change of branching ratios - most of which are determined from data rather than from first principles anyway - will not be taken into account in the cross section of a process. Exceptions exist, but most particles in this class are made to decay isotropically. Finally, note that all of these particles have a mass below 20 GeV.
There is one ambiguous case in this classification, namely the photon. The gamma^*/Z^0 combination contains a low-mass peak when produced in a hard process. On the other hand, photons can participate in shower evolution, and therefore a photon originally assumed massless can be assigned an arbitrarily high mass when it is allowed to branch into a fermion pair. In some cases this could lead to double-counting, e.g. between processes such as f fbar → (gamma^*/Z^0) (gamma^*/Z^0), f fbar → (gamma^*/Z^0) gamma and f fbar → gamma gamma. Here it make sense to limit the lower mass allowed for the gamma^*/Z^0 combination, in 23:mMin, to be the same as the upper limit allowed for an off-shell photon in the shower evolution, in TimeShower:mMaxGamma. By default this matching is done at 10 GeV.

In spite of the above-mentioned differences, the resonances and the other particles are all stored in one common particle data table, so as to offer a uniform interface to setting and getting properties such as name, mass, charge and decay modes, also for the particle properties in the event record. Some methods are specific to resonances, however, in particular for the calculation of partial widths and thereby of branching ratio. For resonances these can be calculated dynamically, set up at initialization for the nominal mass and then updated to the current mass when these are picked according to a Breit-Wigner resonance shape.

Resonance Decays and Cross Sections

As already hinted above, you have the possibility to set the allowed decay channels of resonances, see Particle Data Scheme description. For instance, if you study the process q qbar → H^0 Z^0 you could specify that the Z^0 should decay only to lepton pairs, the H^0 only to W^+ W^-, the W^+ only to a muon and a neutrino, while the W^- can decay to anything. Unfortunately there are limits to the flexibility: you cannot set a resonance to have different properties in different places of a process, e.g. if instead H^0 → Z^0 Z^0 in the above process then the three Z^0's would all obey the same rules.

The restrictions on the allowed final states of a process is directly reflected in the cross section of it. That is, if some final states are excluded then the cross section is reduced accordingly. Such restrictions are built up recursively in cases of sequential decay chains. The restrictions are also reflected in the compositions of those events that actually do get to be generated. For instance, the relative rates of H^0 → W^+ W^- and H^0 → Z^0 Z^0 are shifted when the allowed sets of W^+- and Z^0 decay channels are changed.

We remind that only those particles that Pythia treat as resonances enjoy this property, and only those that are considered as part of the hard process and its associated resonance decays.

There is one key restriction on resonances:

parm  ResonanceWidths:minWidth   (default = 1e-20; minimum = 1e-30)
Minimal allowed width of a resonance, in GeV. If the width falls below this number the resonance is considered stable and will not be allowed to decay. This is mainly intended as a technical parameter, to avoid disasters in cases where no open decay channels exists at all. It could be used for real-life decisions as well, however, but then typically would have to be much bigger than the default value. Special caution would be needed if coloured resonance particles were made stable, since the program would not necessarily know how to hadronize them, and therefore fail at that stage.

In spite of this technical parameter choice, it is possible to set a lifetime for a resonance, and thereby to obtain displaced vertices. If a resonance is allowed to decay it will do so, irrespective of the location of the decay vertex. This is unlike normal particle decays, where it is possible to define some region around the primary vertex within which all decays should happen, with particles leaving that region considered stable. The logic is that resonances as a rule are too short-lived for secondary vertices, so if you pick a scenario with a long-lived but unstable resonance it is because you want to study secondary vertices. How to interface those decays to a detector simulation program then is another story, to be solved separately. Do note that a special treatment is needed for coloured long-lived resonances, that form R-hadrons, and where charge and flavour may change between the production and decay vertices.

Special properties and methods for resonances

The method ParticleData::isResonance(id) allows you to query whether a given particle species is considered a resonance or not. You can also change the default value of this flag in the normal way, e.g. pythia.readString("id:isResonance = true").

Resonances come in two kinds.

  • The standard built-in ones include Z^0, W^+-, t, h^0, and many more. These have explicit decay-widths formulae encoded, in classes derived from the ResonanceWidths base class. The formulae are used, e.g., to calculate all the partial widths as a function of the resonance masses you choose, and at initialization the existing total width values are overwritten. This is especially convenient for hypothetical states, like a Z', where the mass is not known and therefore routinely changed. Often the partial widths are associated with parameters that can be changed by the user, e.g. for MSSM Higgs states.
  • If a resonance does not have a class of its own, with hardcoded equations for all relevant partial widths, then a simpler object will be created at initialization. This object will take the total width and branching ratios as is (with the optional variations explained in the next section). When you set a particle to be a resonance, and do not provide any class to go with its width calculations, this is where it will end up.
Sometimes experimentalists want to modify the physical width of a resonance, to understand how sensitive analyses are to this width, if at all. For the second, simpler kind of resonances, the id:mWidth can be changed right away, but for the first kind any change will be overwritten at initialization. To circumvent this problem, the id:doForceWidth flag can be changed from the default off to on. Then the width stored in id:mWidth is strictly used to describe the Breit-Wigner of the resonance. Partial widths are still recalculated to set the mass-dependent branching ratios, but then uniformly rescaled to the requested total width. The width can also run across the lineshape, so that it deviates from the nominal one in the wings of the Breit-Wigner.

For processes that contain interference terms between resonances, notably gamma^*/Z^0 or gamma^*/Z^0/Z'^0, it is not obvious how these contributions should be modified consistently. Therefore it is necessary to set WeakZ0:gmZmode = 2 or Zprime:gmZmode = 3, to have a pure Z^0 or Z'^0, respectively, for width forcing to be allowed in these cases.

A warning is that the different processes have cross sections that rescale in different ways when the resonance width is varied. This depends on them not having been implemented in a guaranteed uniform way. To illustrate the point, consider the case of an s-channel resonance, where the cross section dependence on the width can be written as
sigmaHat(sHat) = constant * Gamma_in * Gamma_out / ((sHat - m^2)^2 + m^2 * Gamma^2)
Here the doForceWidth = on option ensures that the Gamma in the denominator is rescaled by some factor k relative to the natural width, but does not guarantee that Gamma_in and Gamma_out are rescaled as well. If all three are rescaled by the same factor k, as they should, then the integrated cross section also scales like k, assuming that the peak is reasonably narrow, so that the variation of PDF's across the Breit-Wigner can be neglected. This is the case for some processes. But in others either or both of the production and decay vertices can have been hardcoded, based on the coupling structure, and thus not scale with k. If only Gamma_out scales with k, say, the cross section remains (approximately) constant, and if neither scales the cross section will even go like 1/k. Such obvious normalization imperfections have to be corrected by hand.

Mainly for internal usage, the ParticleData contain some special methods that are only meaningful for resonances:

  • resInit(...) to initialize a resonance, possibly including a recalculation of the nominal width to match the nominal mass;
  • resWidth(...) to calculate the partial and total widths at the currently selected mass;
  • resWidthOpen(...) to calculate the partial and total widths of those channels left open by user switches, at the currently selected mass;
  • resWidthStore(...) to calculate the partial and total widths of those channels left open by user switches, at the currently selected mass, and store those as input for a subsequent selection of decay channel;
  • resOpenFrac(...) to return the fraction of the total width that is open by the decay channel selection made by users (based on the choice of onMode for the various decay channels, recursively calculated for sequential decays);
  • resWidthRescaleFactor(...) returns the factor by which the internally calculated PYTHIA width has to be rescaled to give the user-enforced width;
  • resWidthChan(...) to return the width for one particular channel (currently only used for Higgs decays, to obtain instate coupling from outstate width).
These methods actually provide an interface to the classes derived from the ResonanceWidths base class, to describe various resonances.

Modes for Matrix Element Processing

The meMode() value for a decay mode is used to specify nonisotropic decays or the conversion of a parton list into a set of hadrons in some channels of normal particles. For resonances it can also take a third function, namely to describe how the branching ratios and widths of a resonance should be rescaled as a function of the current mass of the decaying resonance. The rules are especially useful when new channels are added to an existing particle, or a completely new resonance added.
  • 0 : channels for which hardcoded partial-width expressions are expected to exist in the derived class of the respective resonance. Should no such code exist then the partial width defaults to zero.
  • 1 - 99 : same as 0, but normally not used for resonances.
  • 100 : calculate the partial width of the channel from its stored branching ratio times the stored total width. This value remains unchanged when the resonance fluctuates in mass. Specifically there are no threshold corrections. That is, if the resonance fluctuates down in mass, to below the nominal threshold, it is assumed that one of the daughters could also fluctuate down to keep the channel open. (If not, there may be problems later on.)
  • 101 : calculate the partial width of the channel from its stored branching ratio times the stored total width. Multiply by a step threshold, i.e. the channel is switched off when the sum of the daughter on-shell masses is above the current mother mass.
  • 102 : calculate the partial width of the channel from its stored branching ratio times the stored total width. Multiply by a smooth threshold factor beta = sqrt( (1 - m_1^2/m_2 - m_2^2/m^2)^2 - 4 m_1^2 m_2^2/m^4) for two-body decays and sqrt(1 - Sum_i m_i / m) for multibody ones. The former correctly encodes the size of the phase space but misses out on any nontrivial matrix-element behaviour, while the latter obviously is a very crude simplification of the correct phase-space expression. Specifically, it is thereby assumed that the stored branching ratio and total width did not take into account such a factor.
  • 103 : use the same kind of behaviour and threshold factor as for 102 above, but assume that such a threshold factor has been used when the default branching ratio and total width were calculated, so that one should additionally divide by the on-shell threshold factor. Specifically, this will give back the stored branching ratios for on-shell mass, unlike the 102 option. To avoid division by zero, or in general unreasonably big rescaling factors, a lower limit minThreshold (see below) on the value of the on-shell threshold factor is imposed. (In cases where a big rescaling is intentional, code 102 would be more appropriate.)

parm  ResonanceWidths:minThreshold   (default = 0.1; minimum = 0.01)
Used uniquely for meMode = 103 to set the minimal value assumed for the threshold factor, sqrt( (1 - m_1^2/m_2 - m_2^2/m^2)^2 - 4 m_1^2 m_2^2/m^4) for two-body decays and sqrt(1 - Sum_i m_i / m) for multibody ones. Thus the inverse of this number sets an upper limit for how much the partial width of a channel can increase from the on-shell value to the value for asymptotically large resonance masses. Is mainly intended as a safety measure, to avoid unintentionally large rescalings.

All of these meMode's may coexist for the same resonance. This would be the case e.g. if you want to add a few new channels to an already existing resonance, where the old partial widths come hardcoded while the new ones are read in from an external file. The typical example would be an MSSM Higgs sector, where partial widths to SM particles are already encoded, meMode = 0, while decay rates to sparticles are read in from some external calculation and maybe would be best approximated by using meMode = 103. Indeed the default particle table in PYTHIA uses 103 for all channels that are expected to be provided by external input.

Some further clarification may be useful. At initialization the existing total width and on-shell branching ratios will be updated. For channels with meMode < 100 the originally stored branching ratios are irrelevant, since the existing code will anyway be used to calculate the partial widths from scratch. For channels with meMode = 100 or bigger, instead the stored branching ratio is used together with the originally stored total width to define the correct on-shell partial width. The sum of partial widths then gives the new total width, and from there new branching ratios are defined.

In these operations the original sum of branching ratios need not be normalized to unity. For instance, you may at input have a stored total width of 1 GeV and a sum of branching ratios of 2. After initialization the width will then have been changed to 2 GeV and the sum of branching ratios rescaled to unity. This might happen e.g. if you add a few channels to an existing resonance, without changing the branching ratios of the existing channels or the total width of the resonance.

In order to simulate the Breit-Wigner shape correctly, it is important that all channels that contribute to the total width are included in the above operations. This must be kept separate from the issue of which channels you want to have switched on for a particular study, to be considered next.

In the event-generation process, when an off-shell resonance mass has been selected, the width and branching ratios are re-evaluated for this new mass. At this stage also the effects of restrictions on allowed decay modes are taken into account, as set by the onMode switch for each separate decay channel. Thus a channel may be on or off, with different choices of open channels between the particle and its antiparticle. In addition, even when a channel is on, the decay may be into another resonance with its selection of allowed channels. It is these kinds of restrictions that lead to the Gamma_out possibly being smaller than Gamma_tot. As a reminder, the Breit-Wigner for decays behaves like Gamma_out / ((s - m^2)^2 + s * Gamma_tot^2), where the width in the numerator is only to those channels being studied, but the one in the denominator to all channels of the particle. These ever-changing numbers are not directly visible to the user, but are only stored in a work area. pythia8-8.1.86.orig/htmldoc/ROOTusage.html0000644000175000017500000002322712357553536016513 0ustar sunsun ROOT usage

ROOT usage

Many PYTHIA users wish to use ROOT to produce histograms, or even to run PYTHIA as a plugin to ROOT. This is possible. It is not a task supported by the PYTHIA team, however. All issues involving ROOT usage should be directed to the ROOT team, or to the local support team of your collaboration. Below some helpful hints have been collected. The text is based on contributions by Rene Brun, Andreas Morsch and Axel Naumann. Another example may be found in the VINCIA add-on program for parton showers, but this should also work for a PYTHIA standalone run.

Note that in all that follows, a Linux-type system with a Bash shell and GNU Make is assumed. In particular, for Mac OS X, the LD_LIBRARY_PATH should be replaced with DYLD_LIBRARY_PATH and the extension for shared libraries .so should be replaced with .dylib.

Standalone usage

One can perform the generation and analysis of events in a completely standalone fashion, and only use ROOT to process the completed events. Some example programs are provided in the rootexamples directory, with details provided below and in the README file. The examples assume that you have already compiled the PYTHIA library, ROOT is installed, and that all paths have been setup correctly (e.g. PATH and LD_LIBRARY_PATH). If these paths are not already set, ROOT typically comes with a shell script to set these paths, which can be run with 
 
    source /path_to_ROOT_installation/bin/thisroot.sh

Histogramming with ROOT

An example of histogramming with ROOT is provided in rootexamples/hist.cc. It may be compiled and run with the following commands 
 
    make hist 
    ./hist.exe
After PYTHIA has run, a ROOT histogram of the charged multiplicity in the events will be shown. This is now stored in the hist.root file.

Storing PYTHIA events in ROOT trees

Instead of only generating histograms, it is possible to store entire PYTHIA events in ROOT trees. The tree example in the rootexamples subdirectory provides an example of this and is comprised of the following files
  • tree.cc is the main example program showing how PYTHIA events can be stored in ROOT trees.
  • pythiaLinkdef.h is used by Makefile to generate the dictionary for all PYTHIA classes involved in the IO, as needed for the example.
  • pythiaROOT.h is a small include declaring the Pythia8 namespace as default.

The example may be compiled and run with 
 
    make tree 
    ./tree.exe
After the example has run, the pytree.root file will now be present containing the PYTHIA events. Note that files can become quite large when many events are generated.

PYTHIA as a plugin to ROOT

In more ROOT-centric applications, PYTHIA can be run as a ROOT plug-in. This requires a version of ROOT that has been installed from source. The reason is that the interfaces depend on PYTHIA header files that are not distributed with ROOT. Installing ROOT is not more difficult than the PYTHIA installation, and some guidelines are provided below.

Installation

To be run as a plugin, PYTHIA must be compiled as a shared library. This is achieved by running the PYTHIA configure script with the --enable-shared option before make is run.

Define an environment variable for the path to your PYTHIA installation directory 
 
    export PYTHIA8=path_to_PYTHIA8_installation
Before compiling ROOT, configure ROOT by running the configure command including the following options 
 
    --enable-pythia8 
    --with-pythia8-incdir=$PYTHIA8/include 
    --with-pythia8-libdir=$PYTHIA8/lib
In case ROOT has already been compiled before, it will only recompile the PYTHIA module and build the library libEGPythia8.

Interfaces

When running PYTHIA as a plugin, the exact interface structure becomes very relevant. ROOT provides two simple interfaces (wrappers) for PYTHIA 8. The code for these interfaces are located in 
 
    path_to_ROOT_source/montecarlo/pythia8

The two interfaces are
  • TPythia8 is an implementation of the TGenerator interface for PYTHIA 8.
    It allows you to use PYTHIA within a ROOT macro or as a plug-in for a general-purpose particle generator based on this interface. The main methods of the interface are
    • GenerateEvent() which triggers the generation of the next event, and
    • ImportParticles(TClonesArray* particles) which copies the native PYTHIA stack into a TClonesArray of TParticles.
    In addition, some methods that are directly related to corresponding PYTHIA methods are implemented
    • ReadString(const char* string) → readString(...)
    • ReadConfigFile(const char* string) → readFile(...)
    • Initialize(int idAin, int idBin, double ecms) → init(...)
    • EventListing() → event.list()
    • PrintStatistic() → statistics()
    These methods provide already the basic PYTHIA functionality interactively from the ROOT command line. However, this does not mean that the usage of PYTHIA from within ROOT is restricted to these methods. In compiled code, one can always obtain a pointer to the Pythia instance e.g. 
     
    TPythia8        *tp = new TPythia8(); 
    Pythia8::Pythia *p  = tp->Pythia8();
    giving access to the full PYTHIA functionality. To access this functionality in the CINT interpreter see the "Advanced usage" section below.
  • TPythia8Decayer is an implementation of the TVirtualMCDecayer interface.
    It allows you to use PYTHIA as a plug-in decayer for simulation frameworks based on the Virtual Monte Carlo (VMC) interface classes. The main methods of the interface are
    • TPythia8Decayer::Init() for initialisation,
    • TPythia8Decayer::Decay(Int_t pdg, TLorentzVector* p) to decay a particle with PDG code pdg and 4-momentum p, and
    • ImportParticles(TClonesArray* particles) to retrieve the decay products as TParticles in the TClonesArray particles.

An example

A basic example for generating minimum-bias events with PYTHIA 8 inside a ROOT macro, and filling some histograms with the kinematics of the final-state particles is provided in either of the locations below 
 
    /path_to_ROOT_source/tutorials/pythia/pythia8.C 
    /path_to_ROOT_installation/share/doc/root/tutorials/pythia/pythia8.C

Note that before executing this script
  • the environment variables PYTHIA8 and PYTHIA8DATA must be setup correctly e.g. 
     
    export PYTHIA8=/path_to_PYTHIA_installation 
    export PYTHIA8DATA=$PYTHIA8/xmldoc 
  
    •  
  
  • your LD_LIBRARY_PATH must contain the location of the 
  PYTHIA 8 shared library, e.g. 
  
     
    export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:path_to_PYTHIA8_installation/lib 
  
     
  
    •  

 
The script can then be run with ROOT 

 
    root pythia8.C 

 
After execution, ROOT will display some histograms from the event 
generation. 
 

Advanced usage
 
 
To access the full PYTHIA functionality from the CINT interpreter, 
a ROOT dictionary must be created. An example of creating this 
dictionary is contained in the rootexamples directory. 
The pythiaDict.so library may be created by running 

 
    make dict 

 
 
This may then be loaded in ROOT giving full access to the full PYTHIA 8 
functionality, e.g. in an interactive session 

 
    gSystem->Load("path_to_PYTHIA8_installation/rootexamples/pythiaDict"); 
    Pythia8::Pythia *p = new Pythia8::Pythia(); 
    p->readString("SoftQCD:nonDiffractive = on"); 

 
   


 
 
pythia8-8.1.86.orig/htmldoc/FourVectors.html0000644000175000017500000004142712357553536017166 0ustar  sunsun

Four-Vectors




 

Four-Vectors
 
 
The Vec4 class gives a simple implementation of four-vectors. 
The member function names are based on the assumption that these 
represent four-momentum vectors. Thus one can get or set 
p_x, p_y, p_z and e, but not x, y, z 
or t. This is only a matter of naming, however; a 
Vec4 can equally well be used to store a space-time 
four-vector. 
  

 
The Particle object contains a Vec4 p that 
stores the particle four-momentum, and another Vec4 vProd 
for the production vertex. For the latter the input/output method 
names are adapted to the space-time character rather than the normal 
energy-momentum one. Thus a user would not normally access the 
Vec4 classes directly, but only via the methods of the 
Particle class, 
see Particle Properties. 
 

 
Nevertheless you are free to use the PYTHIA four-vectors, e.g. as 
part of some simple analysis code based directly on the PYTHIA output, 
say to define the four-vector sum of a set of particles. But note that 
this class was never set up to allow complete generality, only  to 
provide the operations that are of use inside PYTHIA. There is no 
separate class for three-vectors, since such can easily be represented 
by four-vectors where the fourth component is not used. 
 

 
Four-vectors have the expected functionality: they can be created, 
copied, added, multiplied, rotated, boosted, and manipulated in other 
ways. Operator overloading is implemented where reasonable. Properties 
can be read out, not only the components themselves but also for derived 
quantities such as absolute momentum and direction angles. 
 

Constructors and basic operators
 
 
A few methods are available to create or copy a four-vector: 
 


Vec4::Vec4(double x = 0., double y = 0., double z = 0., double t = 0.)   

creates a four-vector, by default with all components set to 0. 
   
 


Vec4::Vec4(const Vec4& v)   

creates a four-vector copy of the input four-vector. 
   
 


Vec4& Vec4::operator=(const Vec4& v)   

copies the input four-vector. 
   
 


Vec4& Vec4::operator=(double value)   

gives a  four-vector with all components set to value. 
   
 

Member methods for input
 
 
The values stored in a four-vector can be modified in a few different 
ways: 
 


void Vec4::reset()   

sets all components to 0. 
   
 


void Vec4::p(double pxIn, double pyIn, double pzIn, double eIn)   

sets all components to their input values. 
   
 


void Vec4::p(Vec4 pIn)   

sets all components equal to those of the input four-vector. 
   
 


void Vec4::px(double pxIn)   

   
void Vec4::py(double pyIn)   

   
void Vec4::pz(double pzIn)   

   
void Vec4::e(double eIn)   

sets the respective component to the input value. 
   
 

Member methods for output
 
 
A number of methods provides output of basic or derived quantities: 
 


double Vec4::px()   

   
double Vec4::py()   

   
double Vec4::pz()   

   
double Vec4::e()   

gets the respective component. 
   
 


double Vec4::mCalc()   

   
double Vec4::m2Calc()   

the (squared) mass, calculated from the four-vectors. 
If m^2 < 0 the mass is given with a minus sign, 
-sqrt(-m^2).  Note the possible loss of precision 
in the calculation of E^2 - p^2; for particles the 
correct mass is stored separately to avoid such problems. 
   
 


double Vec4::pT()   

   
double Vec4::pT2()   

the (squared) transverse momentum. 
   
 


double Vec4::pAbs()   

   
double Vec4::pAbs2()   

the (squared) absolute momentum. 
   
 


double Vec4::eT()   

   
double Vec4::eT2()   

the (squared) transverse energy, 
eT = e * sin(theta) = e * pT / pAbs. 
   
 


double Vec4::theta()   

the polar angle, in the range 0 through 
pi. 
   
 


double Vec4::phi()   

the azimuthal angle, in the range -pi through pi. 
   
 


double Vec4::thetaXZ()   

the angle in the xz plane, in the range -pi through 
pi, with 0 along the +z axis. 
   
 


double Vec4::pPos()   

   
double Vec4::pNeg()   

the combinations E+-p_z.   
 


double Vec4::rap()   

   
double Vec4::eta()   

true rapidity y and pseudorapidity eta. 
   
 

Friend methods for output
 
 
There are also some friend methods that take one, two 
or three four-vectors as argument. Several of them only use the 
three-vector part of the four-vector. 
 


friend ostream& operator<<(ostream&, const Vec4& v)   

writes out the values of the four components of a Vec4 and, 
within brackets, a fifth component being the invariant length of the 
four-vector, as provided by mCalc() above, and it all 
ended with a newline. 
   
 


friend double m(const Vec4& v1, const Vec4& v2)   

   
friend double m2(const Vec4& v1, const Vec4& v2)   

the (squared) invariant mass. 
   
 


friend double dot3(const Vec4& v1, const Vec4& v2)   

the three-product. 
   
 


friend double cross3(const Vec4& v1, const Vec4& v2)   

the cross-product. 
   
 


friend double theta(const Vec4& v1, const Vec4& v2)   

   
friend double costheta(const Vec4& v1, const Vec4& v2)   

the (cosine) of the opening angle between the vectors, 
in the range 0 through pi. 
   
 


friend double phi(const Vec4& v1, const Vec4& v2)   

   
friend double cosphi(const Vec4& v1, const Vec4& v2)   

the (cosine) of the azimuthal angle between the vectors around the 
z axis, in the range 0 through pi. 
   
 


friend double phi(const Vec4& v1, const Vec4& v2, const Vec4& v3)   

   
friend double cosphi(const Vec4& v1, const Vec4& v2, const Vec4& v3)   

the (cosine) of the azimuthal angle between the first two vectors 
around the direction of the third, in the range 0 through pi. 
   
 


friend double RRapPhi(const Vec4& v1, const Vec4& v2)   

   
friend double REtaPhi(const Vec4& v1, const Vec4& v2)   

the R distance measure, in (y, phi) or 
(eta, phi) cylindrical coordinates, i.e. 
R^2 = (y_1 - y_2)^2 + (phi_1 - phi_2)^2 and equivalent. 
   
 

Operations with four-vectors
 
 
Of course one should be able to add, subtract and scale four-vectors, 
and more: 
 


Vec4 Vec4::operator-()   

return a vector with flipped sign for all components, while leaving 
the original vector unchanged. 
   
 


Vec4& Vec4::operator+=(const Vec4& v)   

add a four-vector to an existing one. 
   
 


Vec4& Vec4::operator-=(const Vec4& v)   

subtract a four-vector from an existing one. 
   
 


Vec4& Vec4::operator*=(double f)   

multiply all four-vector components by a real number. 
   
 


Vec4& Vec4::operator/=(double f)   

divide all four-vector components by a real number. 
   
 


friend Vec4 operator+(const Vec4& v1, const Vec4& v2)   

add two four-vectors. 
   
 


friend Vec4 operator-(const Vec4& v1, const Vec4& v2)   

subtract two four-vectors. 
   
 


friend Vec4 operator*(double f, const Vec4& v)   

   
friend Vec4 operator*(const Vec4& v, double f)   

multiply a four-vector by a real number. 
   
 


friend Vec4 operator/(const Vec4& v, double f)   

divide a four-vector by a real number. 
   
 


friend double operator*(const Vec4& v1, const Vec4 v2)   

four-vector product. 
   
 

 
There are also a few related operations that are normal member methods: 
 


void Vec4::rescale3(double f)   

multiply the three-vector components by f, but keep the 
fourth component unchanged. 
   
 


void Vec4::rescale4(double f)   

multiply all four-vector components by f. 
   
 


void Vec4::flip3()   

flip the sign of the three-vector components, but keep the 
fourth component unchanged. 
   
 


void Vec4::flip4()   

flip the sign of all four-vector components. 
   
 

Rotations and boosts
 
 
A common task is to rotate or boost four-vectors. In case only one 
four-vector is affected the operation may be performed directly on it. 
However, in case many particles are affected, the helper class 
RotBstMatrix can be used to speed up operations. 
 


void Vec4::rot(double theta, double phi)   

rotate the three-momentum with the polar angle theta 
and the azimuthal angle phi. 
   
 


void Vec4::rotaxis(double phi, double nx, double ny, double nz)   

rotate the three-momentum with the azimuthal angle phi 
around the direction defined by the (n_x, n_y, n_z) 
three-vector. 
   
 


void Vec4::rotaxis(double phi, Vec4& n)   

rotate the three-momentum with the azimuthal angle phi 
around the direction defined by the three-vector part of n. 
   
 


void Vec4::bst(double betaX, double betaY, double betaZ)   

boost the four-momentum by beta = (beta_x, beta_y, beta_z). 
   
 


void Vec4::bst(double betaX, double betaY, double betaZ, double gamma)   

boost the four-momentum by beta = (beta_x, beta_y, beta_z), 
where the gamma = 1/sqrt(1 - beta^2) is also input to allow 
better precision when beta is close to unity. 
   
 


void Vec4::bst(const Vec4& p)   

boost the four-momentum by beta = (p_x/E, p_y/E, p_z/E). 
   
 


void Vec4::bst(const Vec4& p, double m)   

boost the four-momentum by beta = (p_x/E, p_y/E, p_z/E), 
where the gamma = E/m is also calculated from input to allow 
better precision when beta is close to unity. 
   
 


void Vec4::bstback(const Vec4& p)   

boost the four-momentum by beta = (-p_x/E, -p_y/E, -p_z/E). 
   
 


void Vec4::bstback(const Vec4& p, double m)   

boost the four-momentum by beta = (-p_x/E, -p_y/E, -p_z/E), 
where the gamma = E/m is also calculated from input to allow 
better precision when beta is close to unity. 
   
 


void Vec4::rotbst(const RotBstMatrix& M)   

perform a combined rotation and boost; see below for a description 
of the RotBstMatrix. 
   
 

 
For a longer sequence of rotations and boosts, and where several 
Vec4 are to be rotated and boosted in the same way, 
a more efficient approach is to define a RotBstMatrix, 
which forms a separate auxiliary class. You can build up this 
4-by-4 matrix by successive calls to the methods of the class, 
such that the matrix encodes the full sequence of operations. 
The order in which you do these calls must agree with the imagined 
order in which the rotations/boosts should be applied to a 
four-momentum, since in general the operations do not commute. 
 


RotBstMatrix::RotBstMatrix()   

creates a diagonal unit matrix, i.e. one that leaves a four-vector 
unchanged. 
   
 


RotBstMatrix::RotBstMatrix(const RotBstMatrix& Min)   

creates a copy of the input matrix. 
   
 


RotBstMatrix& RotBstMatrix::operator=(const RotBstMatrix4& Min)   

copies the input matrix. 
   
 


void RotBstMatrix::rot(double theta = 0., double phi = 0.)   

rotate by this polar and azimuthal angle. 
   
 


void RotBstMatrix::rot(const Vec4& p)   

rotate so that a vector originally along the +z axis becomes 
parallel with p. More specifically, rotate by -phi, 
theta and phi, with angles defined by p. 
   
 


void RotBstMatrix::bst(double betaX = 0., double betaY = 0., double betaZ = 0.)   

boost by this beta vector. 
   
 


void RotBstMatrix::bst(const Vec4&)   

   
void RotBstMatrix::bstback(const Vec4&)   

boost with a beta = p/E or beta = -p/E, respectively. 
   
 


void RotBstMatrix::bst(const Vec4& p1, const Vec4& p2)   

boost so that p_1 is transformed to p_2. It is assumed 
that the two vectors obey p_1^2 = p_2^2. 
   
 


void RotBstMatrix::toCMframe(const Vec4& p1, const Vec4& p2)   

boost and rotate to the rest frame of p_1 and p_2, 
with p_1 along the +z axis. 
   
 


void RotBstMatrix::fromCMframe(const Vec4& p1, const Vec4& p2)   

rotate and boost from the rest frame of p_1 and p_2, 
with p_1 along the +z axis, to the actual frame of 
p_1 and p_2, i.e. the inverse of the above. 
   
 


void RotBstMatrix::rotbst(const RotBstMatrix& Min);   

combine the current matrix with another one. 
   
 


void RotBstMatrix::invert()   

invert the matrix, which corresponds to an opposite sequence and sign 
of rotations and boosts. 
   
 


void RotBstMatrix::reset()   

reset to no rotation/boost; i.e. the default at creation. 
   
 


double RotBstMatrix::deviation()   

crude estimate how much a matrix deviates from the unit matrix: 
the sum of the absolute values of all non-diagonal matrix elements 
plus the sum of the absolute deviation of the diagonal matrix 
elements from unity. 
   
 


friend ostream& operator<<(ostream&, const RotBstMatrix& M)   

writes out the values of the sixteen components of a 
RotBstMatrix, on four consecutive lines and 
ended with a newline. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/PhaseSpaceCuts.html0000644000175000017500000004405212357553535017554 0ustar  sunsun

Phase Space Cuts




 

Phase Space Cuts
 
 
PhaseSpace is base class for all hard-process phase-space 
generators, either generic 2 → 1 or 2 → 2 ones, 
or specialized ones like for elastic and diffractive scattering. 
 

 
In it, it is possible to constrain the kinematics of most processes. 
(Exceptions are "soft physics", i.e. minimum bias, elastic and 
diffractive processes. The Coulomb singularity for elastic scatterings, 
if simulated, is handled separately.) 
These constraints apply in the rest frame of the hard subprocess, and 
topologies normally would be changed e.g. by subsequent showering 
activity. The cross section of a process is adjusted to only 
correspond to the allowed phase space. 
 

 
The more particles in the final state, the more cuts could be applied. 
Here we have tried to remain with the useful minimum, however. More 
generic possibilities could be handled by the 
user hooks facility. 
 

Cuts in all processes
 
 

parm   PhaseSpace:mHatMin   
 (default = 4.; minimum = 0.)

The minimum invariant mass. 
   
 

parm   PhaseSpace:mHatMax   
 (default = -1.)

The maximum invariant mass. 
A value below mHatMin means there is no upper limit. 
   
 

Cuts in 2 → 1 processes
 
 
When a resonance id is produced, the 
mMin(id) and 
mMax(id) 
methods restrict the allowed mass range 
of this resonance. Therefore the allowed range is chosen to be the 
overlap of this range and the mHatMin to 
mHatMax range above. Most resonances by default have no 
upper mass limit, so effects mainly concern the lower limit. 
Should there be no overlap between the two ranges then the process 
will be switched off. 
 

Cuts in 2 → 2 processes
 
 

parm   PhaseSpace:pTHatMin   
 (default = 0.; minimum = 0.)

The minimum invariant pT. 
   
 

parm   PhaseSpace:pTHatMax   
 (default = -1.)

The maximum invariant pT. 
A value below pTHatMin means there is no upper limit. 
   
 

parm   PhaseSpace:pTHatMinDiverge   
 (default = 1.; minimum = 0.5)

Extra pT cut to avoid the divergences of some processes 
in the limit pT → 0. Specifically, if either or both 
produced particles have a mass below pTHatMinDiverge 
then pT is limited from below by the larger of 
pTHatMin and pTHatMinDiverge. 
   
 

flag   PhaseSpace:useBreitWigners   
 (default = on)

Allows masses to be selected according to Breit-Wigner shapes in 
2 → 2 processes, whenever particles have been declared 
with a nonvanishing width above the threshold below. In those cases 
also the limits below will be used for the mass selection. For 
2 → 1 processes the Breit-Wigner shape is part of the 
cross section itself, and therefore always included. 
   
 

parm   PhaseSpace:minWidthBreitWigners   
 (default = 0.01; minimum = 1e-6)

The minimum width a resonance must have for the mass to be dynamically 
selected according to a Breit-Wigner shape, within the limits set below. 
Only applies when useBreitWigners is on; else the nominal 
mass value is always used. 
   
 

 
For a particle with a Breit-Wigner shape selected, according to the 
rules above and to the rules of the particle species itself, the 
mMin(id) and 
mMax(id) 
methods restrict the allowed mass range of the particle, just like for 
the 2 → 1  processes. 
 

Cuts in 2 → 3 processes
 
 
There are two main classes of 2 → 3 processes. One is the 
processes such as WW/ZZ-fusion Higgs production, i.e. 
q q → q q H, where there are no special singularities 
associated with two partons in the final state being collinear, 
or even for pT → 0. For this class, no further cuts 
have been introduced than those already available for 2 → 2 
processes. Specifically, for now all three are restricted exactly the 
same way by pTHatMin and pTHatMax. As above, 
Breit-Wigner mass ranges can be restricted. 
 

 
The other 2 → 3 event class is QCD processes, such as 
g g → g g g. Here the soft and collinear singularities 
play a major role, and the phase space generation and cuts have 
been adapted to this. For this class, an alternative set of cuts 
is used, as outlined in the following. First of all the three 
outgoing partons are ordered in falling pT, i.e. 
pT_3 > pT_4 > pT_5 (where the labeling 3, 4, 5 of the outgoing 
partons is random, i.e. unrelated to the order specified in the 
process name). The allowed ranges of pT_3 and pT_5 
can be specified, but obviously pT_3max >= pT_5max and 
pT_3min >= pT_5min. The pT_4 is not constrained 
explicitly, but is constructed from the vector sum of pT_3 
and pT_5, subject to the constraint that it has to lie 
between the two in magnitude. While the pT cuts take care 
of singularities collinear with the incoming beams, it is also 
necessary to handle final-state singularities, when two outgoing 
partons become collinear. This is done by requiring a minimal 
separation in R, where 
R^2 = (Delta eta)^2 + (Delta phi)^2. 
Finally, a note about efficiency. The QCD 2 → 3 phase space 
is not set up to explicitly include mHat as one of the basic 
variables. Such a cut is only done after a phase space point is already 
selected, which means that a narrow mass choice will slow down the 
program appreciably. Also narrow pT_3 and pT_5 bins 
are likely to give inefficient generation, if it gives rise to 
significant indirect restrictions on pT_4. 
 

parm   PhaseSpace:pTHat3Min   
 (default = 10.; minimum = 0.)

The minimum invariant pT of the highest-pT parton in 
QCD 2 → 3 processes. 
   
 

parm   PhaseSpace:pTHat3Max   
 (default = -1.)

The maximum invariant pT of the highest-pT parton in 
QCD 2 → 3 processes 
A value below pTHat3Min means there is no upper limit. 
   
 

parm   PhaseSpace:pTHat5Min   
 (default = 10.; minimum = 0.)

The minimum invariant pT of the lowest-pT parton in 
QCD 2 → 3 processes. 
   
 

parm   PhaseSpace:pTHat5Max   
 (default = -1.)

The maximum invariant pT of the lowest-pT parton in 
QCD 2 → 3 processes 
A value below pTHat5Min means there is no upper limit. 
   
 

parm   PhaseSpace:RsepMin   
 (default = 1.)

The minimum separation R in (eta, phi) space between 
any two outgoing partons in QCD 2 → 3 processes. 
   
 
 

Cuts for a second hard process
 
 
If you use the machinery that allows the generation of a specified 
second hard process then, 
by default, the same phase space cuts will be used for it as listed 
above. Optionally, however, you may use a second set of cuts, as 
described here. In this context "first" and "second" is merely a 
technical distinction; you are welcome e.g. to pick pT ranges 
such that the second interaction always has a larger pT than 
the first. 
 

flag   PhaseSpace:sameForSecond   
 (default = on)

By default use the same cuts for a second hard process as for the 
first. If off then instead use the mass and pT 
cuts below, where relevant. (The other cuts above still remain the same.) 
   
 

parm   PhaseSpace:mHatMinSecond   
 (default = 4.; minimum = 0.)

The minimum invariant mass for a second interaction, if separate. 
   
 

parm   PhaseSpace:mHatMaxSecond   
 (default = -1.)

The maximum invariant mass for a second interaction, if separate. 
A value below mHatMin means there is no upper limit. 
   
 

parm   PhaseSpace:pTHatMinSecond   
 (default = 0.; minimum = 0.)

The minimum invariant pT for a second interaction, if separate. 
   
 

parm   PhaseSpace:pTHatMaxSecond   
 (default = -1.)

The maximum invariant pT for a second interaction, if separate. 
A value below pTHatMin means there is no upper limit. 
   
 

Generation strategy and documentation
 
 
During the initialization stage a simplified function is found, 
that is intended to be above the true cross-section behaviour 
over the whole of phase space. It is chosen to be easily integrable 
and invertible. That way a trial phase space point can be selected 
according this simple function, and then be accepted by the ratio of 
true to the simple function. For a good efficiency the ratio should be 
close to unity,  yet never above it. This constrains the absolute 
normalization of the simple function. The initial search may fail to 
find the phase space point where the true-to-simple ratio is maximal, 
however. This then can lead to subsequent maximum violations, where the 
ratio is above unity. Two alternative strategies are implemented to 
handle such situations, see below. 
 

flag   PhaseSpace:showSearch   
 (default = off)

Possibility to print information on the search for phase-space 
coefficients that (in a multichannel approach) provides an analytical 
upper envelope of the differential cross section, and the 
corresponding upper estimate of the cross section. Of interest 
for crosschecks by expert users only. 
   
 

flag   PhaseSpace:showViolation   
 (default = off)

Possibility to print information whenever the assumed maximum 
differential cross section of a process is violated, i.e. when 
the initial maximization procedure did not find the true maximum. 
Also, should negative cross sections occur, print whenever a more 
negative value is encountered. 
   
 

flag   PhaseSpace:increaseMaximum   
 (default = off)

Strategy for handling cases where a larger cross section is 
obtained during the event generation than was assumed at initialization, 
i.e. when a violation occurs. 

off:each event comes with a weight, which normally is unity 
(as a consequence of the acceptance/rejection step), and is found in 
Info::weight(). 
For events which exceed the maximum instead the true-to-simple ratio 
is stored as event weight, which then is above unity. If the user so 
wishes this weight can then be carried along when event properties are 
histogrammed. Since normally such violations should be rare and not 
too much above unity one could expect most users to ignore such issues 
be default. Should maximum violations turn out to be frequent (visible 
in the Pythia::statistics() 
output) the option exists to use the information. 

on:the maximum is increased whenever it is exceeded. Thus 
events generated after this point will be "correctly" distributed, 
while ones generated previously obviously then have had too high a 
relative weight. If violations occur early on and/or are small this 
strategy should do a good job of correcting to the desired phase-space 
distribution. This strategy may be more convenient for the normal user, 
who would not wish to worry about event weights. It does have the 
disadvantage that the raised maximum introduces an extra amount of 
"history memory" to the generation sequence, so that it becomes less 
easy to save-and-restore the random-number 
state for debugging purposes. 
   
 

Reweighting of 2 → 2 processes
 
 
Events normally come with unit weight, i.e. are distributed across 
the allowed phase space region according to the appropriate differential 
cross sections. Sometimes it may be convenient to have an uneven 
distribution of events. The classical example here is that many cross 
sections drop off with transverse momentum pT, such that few 
events are generated at large pT scales. If one wants to 
plot the pT cross section, and all that comes with it, the 
statistical error will then degrade with increasing pT 
where fewer events end up. 
 

 
One solution is to split the full pT range into several 
separate subranges, where the events of each subsample obtains a 
different overall normalization. Specifically, if you generate a 
comparable number of events in each pT bin, such that 
larger pT bins are oversampled, these bins come with a 
correspondingly reduced overall weight, that needs to be taken into 
account when the bins are combined. The other is to have a continuously 
increasing oversampling of events at larger pT scales, which 
is compensated by a continuously decreasing weight for the event. 
 

 
Both of these solutions are supported. Specifically, for 
2 → 2 processes, the pTHat scale offers a 
convenient classification of the event. (Of course, two events 
starting out from the same pTHat scale will experience 
different parton shower evolutions, etc., and may therefore look 
quite different at the end.) The two cuts 
PhaseSpace:pTHatMin and PhaseSpace:pTHatMax 
therefore offers a way to slice a pT range into subranges, 
see e.g. main08.cc. Alternatively the 
User Hooks machinery offers the 
possibility for you to define your own reweighting of phase space 
sampling, with a corresponding event weight, with 
UserHooks::canBiasSelection and related methods. 
 

 
As a simplified option, we here offer the possibility to bias the 
2 → 2 sampling by a power of pTHat, then with 
events having a weight the inverse of this. This fast track will only 
work under a number of strict conditions, implemented to reduce the 
risk of abuse. (Whereas a UserHooks setup can be more 
flexible.) Specifically it will work if only high-pT 
2 → 2 processes already implemented in PYTHIA are requested, 
notably the HardQCD ones. That is, you cannot mix with 
2 → 1 or 2 → 3 processes, nor with external 
processes (notably Les Houches input) or SoftQCD ones, 
and  you cannot use the option to define a 
second hard process in 
the same event. Furthermore you have to be careful about the choice 
of PhaseSpace:pTHatMin, since a pTHat = 0 
event would come with an infinite weight. 
 

flag   PhaseSpace:bias2Selection   
 (default = off)

Possibility to switch on a biased phase space sampling, 
with compensatingly weighted events, for 2 → 2 processes. 
Can only be used under the specific conditions explained in 
the paragraph above; under other conditions the initialization 
will abort. 
   
 

parm   PhaseSpace:bias2SelectionPow   
 (default = 4.; minimum = 0.; maximum = 10.)

If the above flag is on, then a 2 → 2 process at a scale 
pTHat will be oversampled in phase space by an amount 
(pTHat/pTRef)^pow, where you set the power pow 
here. Events are assigned a compensating 
weight the inverse of this, 
i.e. Info::weight() will return (pTRef/pTHat)^pow. 
This weight should then be used in the histogramming of event properties. 
The final overall normalization also involves the 
Info::weightSum() value. 
   
 

parm   PhaseSpace:bias2SelectionRef   
 (default = 10.; minimum = 1.)

The reference scale pTRef introduced above, such that events 
with this pTHat obtain unit weight in the reweighting procedure. 
The value of this parameter has no impact on the final result of the 
reweighting procedure, but is only there for convenience, i.e. to 
give "reasonably-sized" weights. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/ParticleDataScheme.html0000644000175000017500000020704012357553535020361 0ustar  sunsun

The Particle Data Scheme




 

The Particle Data Scheme
 
 
The particle data scheme may take somewhat longer to understand than 
the settings one. In particular the set of methods to access information 
is rather more varied, to allow better functionality for advanced usage. 
However, PYTHIA does come with a sensible default set of particle 
properties and decay tables. Thus there is no need to learn any of the 
methods on this page to get going. Only when you perceive a specific need 
does it make sense to learn the basics. 
 

 
The central section on this page is the Operation one. The preceding 
sections are there mainly to introduce the basic structure and the set 
of properties that can be accessed. The subsequent sections provide a 
complete listing of the existing public methods, which most users 
probably will have little interaction with. 
 

Databases
 
 
The management of particle data is based on three classes: 

     

  • ParticleData, which is the top-level class, with 
methods that can be used to interrogate all particle data. It contains 
a map of PDG particle identity numbers [Yao06] onto the relevant 
ParticleDataEntry objects,
    •  

  • ParticleDataEntry, which stores the relevant information 
on an individual particle species, and
    •  

  • DecayChannel, which stores info on one particular decay 
mode of a particle.
    •  
 

 
The objects of these classes together form a database that is 
continuously being used as the program has to assign particle masses, 
select decay modes, etc. 
 

 
Each Pythia object has a public member 
particleData of the ParticleData class. 
Therefore you access the particle data methods as 
pythia.particleData.command(argument), 
assuming that pythia is an instance of the 
Pythia class. Further, for some of the most frequent user 
tasks, Pythia methods have been defined, so that 
pythia.command(argument) 
would work, see further below. 
 

 
A fundamental difference between the particle data classes and the 
settings ones is that the former are accessed regularly during the 
event generation process, as a new particle is produced and its mass 
need to be set, e.g., while the latter are mainly/only used 
at the initialization stage. Nevertheless, it is not a good idea to 
change data in either of them in mid-run, since this may lead to 
inconsistencies. 
 

Stored properties for particles
 
 
The main properties stored for each particle are as follows. 
Different ways to set and get these properties will be described 
further down. 
 

     
 

  • name: a character string with the name of the 
particle. Particle and antiparticle names are stored separately, 
with void returned when no antiparticle exists.
    •  
 

  • spinType: the spin type, of the form 2 s + 1, 
with special code 0 for entries of unknown or indeterminate spin.
    •  
 

  • chargeType: three times the charge (to make it an 
integer).
    •  
 

  • colType: the colour type, with 0 uncoloured, 1 triplet, 
-1 antitriplet and 2 octet. (A preliminary implementation of colour 
  sextets, available since version 8.150, further uses 3 for a sextet 
  and -3 for an antisextet.) 
    •  
 

  • m0: the nominal mass m_0 (in GeV).
    •  
 

  • mWidth: the width Gamma of the Breit-Wigner 
distribution (in GeV).
    •  
 

  • mMin: the lower limit of the allowed mass range 
generated by the Breit-Wigner (in GeV). Has no meaning for particles 
without width, and would typically be 0 there.
    •  
 

  • mMax: the upper limit of the allowed mass range 
generated by the Breit-Wigner (in GeV). If mMax < mMin then 
no upper limit is imposed. Has no meaning for particles without width, 
and would typically be 0 there.
    •  
 

  • tau0: the nominal proper lifetime tau_0 
(in mm/c).
    •  
 

  • isResonance: a flag telling whether a particle species 
is considered as a resonance or not. Here 
"resonance" is used as shorthand 
for any massive particle where the decay process should be counted as part 
of the hard process itself, and thus be performed before showers and other 
event aspects are added. Restrictions on allowed decay channels is also 
directly reflected in the cross section of simulated processes, while 
those of normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances.
    •  
 

  • mayDecay: a flag telling whether a particle species 
may decay or not, offering the main user switch. Whether a given particle 
of this kind then actually will decay also depends on it having allowed 
decay channels, and on other flags for 
particle decays 
(or resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays.
    •  
 

  • doExternalDecays: a flag telling whether a particle 
should be handled by an external decay package or not, with the latter 
default. Can be manipulated as described on this page, but should 
normally not be. Instead the 
Pythia::decayPtr(...) 
method should be provided with the list of relevant particles.
    •  
 

  • isVisible: a flag telling whether a particle species 
is to be considered as visible in a detector or not, as used e.g. in 
analysis routines. By default this includes neutrinos and a few BSM 
particles (gravitino, sneutrinos, neutralinos) that have neither strong 
nor electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector.
    •  
 

  • doForceWidth: a flag applicable only for resonances 
(see isResonance above), whereby it is possible to force 
resonances to retain their assigned width, whatever that is, see 
Resonance Decays for details.
    •  
 

 
 

Stored properties for decays
 
 
An unstable particle has a decay table consisting of one or more 
decay channel. The following properties are stored for each such channel. 
Again different ways to set and get these properties will be described 
further down. 

     
 

  • onMode: integer code for use or not of channel,
     
0 if a channel is off,
     
1 if on,
     
2 if on for a particle but off for an antiparticle,
     
3 if on for an antiparticle but off for a particle.
     
If a particle is its own antiparticle then 2 is on and 3 off 
but, of course, for such particles it is much simpler and safer 
to use only 1 and 0.
     
The 2 and 3 options can be used e.g. to encode CP violation in 
B decays, or to let the W's in a q qbar → W^+ W^- 
process decay in different channels. 
    •  
 

  • bRatio: the branching ratio of the channel 
(with some reservations for resonances, see meMode 
below).
    •  
 

  • meMode: the mode of processing this channel, possibly 
with matrix elements; see the 
particle decays and 
resonance decays 
descriptions for the list of possibilities. 
Notably the default code 0 for a particle means pure phase space 
decays according to the given branching ratios, while for a resonance 
it means that code exists for the dynamic calculations of partial 
widths and thereby branching ratios as a function of the resonance mass 
(which is done e.g. at initialization based on the mass set by the user). 
Then codes 1 - 99 are reserved for various matrix-element-improved 
ordinary particle decays, and 100 - 103 for resonances where the 
partial width of a given channel is calculated from the total width 
and the stored branching ratio. Thus, to enforce a new branching ratio 
for a resonance channel (with its own partial-width calculation code) 
it is not sufficient only to change the bRatio but also 
to set e.g. meMode = 100. 
    •  
 

  • multiplicity: the number of decay products of the 
channel. Can be at most 8.
    •  
 

  • product(i): the identity code of the decay products, 
where i runs between 0 and 
multiplicity - 1. Trailing positions are filled with 0. 

    •  
 

 
 

Operation
 
 
The normal flow of the particle data operations is: 
 

     
 

  1.  
When a Pythia object pythia is created, the 
pythia.particleData member is asked to scan the 
ParticleData.xml file. 
 

     
All lines beginning with <particle are scanned for 
information on a particle species, and all lines beginning with 
<channel are assumed to contain a decay channel of the 
enclosing particle. In both cases XML syntax is used, with attributes 
used to identify the stored properties, and with omitted properties 
defaulting back to 0 where meaningful. The particle and channel 
information may be split over several lines, up to the > endtoken. 
The format of a <particle tag is: 

     
    <particle id="..." name="..." antiName="..." spinType="..." chargeType="..." colType="..." 
       m0="..." mWidth="..." mMin="..." mMax="..." tau0="..."> 
    </particle> 

     
where the fields are the properties already introduced above. 
Note that isResonance, mayDecay, 
doExternalDecay, isVisible and 
doForceWidth are not set here, but are provided with 
default values by the rules described above. Once initialized, also 
these latter properties can be changed, see below.
     
 
The format of  a <channel> tag is: 

     
    <channel onMode="..." bRatio="..." meMode="..." products="..." /> 

     
again see properties above. The products are given as a blank-separated 
list of id codes. 

    Important: the values in the .xml file should not 
be changed, except by the PYTHIA authors. Any changes should be done 
with the help of the methods described below. 

    2.  
 

  2.  
     
Between the creation of the Pythia object and the 
init call for it, you may use the methods of the 
ParticleData class to modify some of the default values. 
Several different approaches can be chosen for this. 
 

     
a) Inside your main program you can directly set values with 

     
    pythia.readString(string); 

     
where both the variable name and the value are contained inside 
the character string, separated by blanks and/or a =, e.g. 

     
    pythia.readString("111:mayDecay = off"); 

     
switches off the decays of the pi^0.
     
 
The particle id (> 0) and the property to be changed must be given, 
separated by a colon.
     
 
The allowed properties are: name, antiName, 
spinType, chargeType, colType, 
m0, mWidth, mMin, 
mMax, tau0, isResonance, 
mayDecay, doExternalDecay, 
isVisible and doForceWidth. All of these 
names are case-insensitive. Names that do not match an existing 
variable are ignored.
     
 
Strings beginning with a non-alphanumeric character, like # or !, 
are assumed to be comments and are not processed at all. For 
bool values, the following notation may be used 
interchangeably: true = on = yes = ok = 1, while everything 
else gives false (including but not limited to 
false, off, no and 
0). 
 

     
Particle data often comes in sets of closely related information. 
Therefore some properties expect the value to consist of several 
numbers. These can then be separated by blanks (or by commas). 
A simple example is names, which expects both the 
name and antiname to be given. A more interesting one is the 
all property, 

     
    id:all = name antiName spinType chargeType colType m0 mWidth mMin mMax tau0 

     
where all the current information on the particle itself is replaced, 
but any decay channels are kept unchanged. Using new instead 
of all also removes any previous decay channels. 
If the string contains fewer fields than expected the trailing 
properties are set to vanish ("void", 0 or 0.). Note that such a 
truncated string should not be followed by a comment, since this 
comment would then be read in as if it contained the missing properties. 
The truncation can be done anywhere, specifically a string with only 
id:new defines a new "empty" particle. 
As before, isResonance, mayDecay, 
doExternalDecay, isVisible and 
doForceWidth are (re)set to their default values, and 
would have to be changed separately if required. 
 

     
A further command is rescaleBR, which rescales each of the 
existing branching ratios with a common factor, such that their new 
sum is the provided value. This may be a first step towards adding 
new decay channels, see further below. 
 

     
Alternatively the id code may be followed by another integer, 
which then gives the decay channel number. This then has to be 
followed by the property specific to this channel, either 
onMode, bRatio, meMode or 
products. In the latter case all the products of 
the channel should be given: 

     
    id:channel:products =  product1 product2 .... 

     
The line will be scanned until the end of the line, or until a 
non-number word is encountered, or until the maximum allowed number 
of eight products is encountered, whichever happens first. (Thus the 
multiplicity of a decay channel need not be input; it is automatically 
calculated from the products list.) It is also possible to replace all 
the properties of a channel in a similar way: 

     
    id:channel:all = onMode bRatio meMode product1 product2 .... 

     
To add a new channel at the end, use 

     
    id:addChannel = onMode bRatio meMode product1 product2 .... 

     
 

     
It is currently not possible to remove a channel selectively, but 
setting its branching ratio vanishing is as effective. If you want to 
remove all existing channels and force decays into one new channel 
you can use 

     
    id:oneChannel = onMode bRatio meMode product1 product2 .... 

     
 A first oneChannel command could be followed by 
several subsequent addChannel ones, to build 
up a completely new decay table for an existing particle. 
 

     
When adding new channels or changing branching ratios in general, 
note that, once a particle is to be decayed, the sum of branching 
ratios is always rescaled to unity. Beforehand, rescaleBR 
may be used to rescale an existing branching ratio by the given factor. 
 

     
There are a few commands that will study all the decay channels of the 
given particle, to switch them on or off as desired. The 

     
    id:onMode = onMode 

     
will set the onMode property of all channels to the 
desired value. The 

     
    id:offIfAny   = product1 product2 .... 
    id:onIfAny    = product1 product2 .... 
    id:onPosIfAny = product1 product2 .... 
    id:onNegIfAny = product1 product2 .... 

     
will set the onMode 0, 1, 2 or 3, respectively, for all 
channels which contain any of the enumerated products, where the matching 
to these products is done without distinction of particles and 
antiparticles. Note that "Pos" and "Neg" 
are slightly misleading since it refers to the particle and antiparticle 
of the id species rather than charge, but should still be 
simpler to remember and understand than alternative notations. 
Correspondingly 

     
    id:offIfAll   = product1 product2 .... 
    id:onIfAll    = product1 product2 .... 
    id:onPosIfAll = product1 product2 .... 
    id:onNegIfAll = product1 product2 .... 

     
will set the onMode 0, 1, 2 or 3, respectively, for all 
channels which contain all of the enumerated products, again without 
distinction of particles and antiparticles. If the same product appears 
twice in the list it must also appear twice in the decay channel, and 
so on. The decay channel is allowed to contain further particles, 
beyond the product list. By contrast, 

     
    id:offIfMatch   = product1 product2 .... 
    id:onIfMatch    = product1 product2 .... 
    id:onPosIfMatch = product1 product2 .... 
    id:onPosIfMatch = product1 product2 .... 

     
requires the decay-channel multiplicity to agree with that of the product 
list, but otherwise works as the onIfAll/offIfAll methods. 
 

     
Note that the action of several of the commands depends on the order 
in which they are executed, as one would logically expect. For instance, 
id:oneChannel removes all decay channels of id 
and thus all previous changes in this decay table, while subsequent 
additions or changes would still take effect. Another example would be that 
23:onMode = off followed by 23:onIfAny = 1 2 3 4 5 
would let the Z^0 decay to quarks, while no decays would be 
allowed if the order were to be reversed. 
 

     
b) The Pythia readString(string) method actually 
does not do changes itself, but sends on the string either to the 
ParticleData class or to the Settings one, 
depending on whether the string begins with a digit or a letter. 
If desired, it is possible to communicate directly with the corresponding 
ParticleData method: 

     
    pythia.particleData.readString("111:mayDecay = off"); 
    pythia.particleData.readString("15:2:products = 16 -211"); 

     
In this case, changes intended for Settings would not be 
understood. 
 

     
c) Underlying this are commands for all the individual properties in 
the ParticleData class, one for each. These are 
further described below. Thus, an example now reads 

     
    pythia.particleData.mayDecay(111, false); 

     
Boolean values should here be given as true or 
false. 
 

     
d) A simpler and more useful way is to collect all your changes 
in a separate file, with one line per change, e.g. 

     
    111:mayDecay = off 

     
The file can be read by the 

     
    pythia.readFile(fileName); 

     
method, where fileName is a string, e.g. 
pythia.readFile("main.cmnd") (or an istream 
instead of a fileName). Each line is processed as 
described for the string in 2a). This file can freely mix commands to 
the Settings and ParticleData classes. 

    3.  
 

  3.  
     
A routine reInit(fileName) is provided, and can be used to 
zero the particle data table and reinitialize it from scratch. 
Such a call might be useful if several subruns are to be made with 
widely different particle data - normally the maps are only built 
from scratch once, namely when the Pythia() object is 
created. Also, there is no other possibility to restore the default 
values, unlike for the settings. 

    4.  
 

  4.  
     
You may at any time obtain a listing of all the particle data by calling 

     
    pythia.particleData.listAll(); 

     
The listing is by increasing id number. It shows the basic 
quantities introduced above. Some are abbreviated in the header to fit on 
the lines: spn = spinType, chg = chargeType, 
col = colType, res = isResonance, 
dec = mayDecay && canDecay (the latter checks that decay 
channels have been defined), ext = doExternalDecay, 
vis = isVisible and wid = doForceWidth.
     
 
To list only those particles that were changed (one way or another, the 
listing will not tell what property or decay channel was changed), instead use 

     
    pythia.particleData.listChanged(); 

     
(This info is based on a further hasChanged flag of a particle 
or a channel, set true whenever any of the changing methods are 
used. It is possible to manipulate this value, but this is not recommended.) 
By default the internal initialization of the widths of resonances such as 
gamma^*/Z^0, W^+-, t/tbar, H^0 do not count as changes; if you want 
to list also those changes instead call listChanged(true). 

     
 
To list only one particle, give its id code as argument to 
the list(...) function.. To list a restricted set of particles, 
give in their id codes to list(...) as a 
vector<int>. 

    5.  
 

  5.  
     
For wholesale changes of particle properties all available data can be 
written out, edited, and then read back in again. These methods are 
mainly intended for expert users. You can choose between two alternative 
syntaxes. 
 

     
a) XML syntax, using the <particle and 
<channel lines already described. You use the method 
particleData.listXML(fileName) to produce such an XML 
file and particleData.readXML(fileName) to read it back 
in after editing. 
 

     
b) Fixed/free format, using exactly the same information as illustrated 
for the <particle and <channel lines 
above, but now without any tags. This means that all information fields 
must be provided (if there is no antiparticle then write 
void), in the correct order (while the order is irrelevant 
with XML syntax), and all on one line. Information is written out in 
properly lined-up columns, but the reading is done using free format, 
so fields need only be separated by at least one blank. Each new particle 
is supposed to be separated by (at least) one blank line, whereas no 
blank lines are allowed between the particle line and the subsequent 
decay channel lines, if any.  You use the method 
particleData.listFF(fileName) to produce such a fixed/free 
file and particleData.readFF(fileName) to read it back 
in after editing. 
 

     
As an alternative to the readXML and readFF 
methods you can also use the 
particleData.reInit(fileName, xmlFormat) method, where 
xmlFormat = true (default) corresponds to reading an XML 
file and xmlFormat = false to a fixed/free format one. 
 

     
To check that the new particle and decay tables makes sense, you can use 
the particleData.checkTable() method, either directly or by 
switching it on among the standard 
error checks. 

    6.  
 

 
 

The public methods
 
 
In the following we present briefly the public methods in the three 
classes used to build up the particle database. The order 
is top-down, i.e from the full table of all particles to a single 
particle to a single channel. 
Note that these methods usually are less elegant and safe than the 
input methods outlined above. If you use any of these methods, it is 
likely to be the ones in the full database, i.e. the first ones to be 
covered in the following. 
 

 
For convenience, we have grouped related input and output methods 
together. It should be obvious from the context which is which: 
the input is of type void and has an extra last argument, 
namely is the input value, while the output method returns a 
quantity of the expected type. 
 

The ParticleData methods
 
 


ParticleData::ParticleData()   

the constructor has no arguments and does not do anything. Internal. 
   
 


void ParticleData::initPtr(Info* infoPtr, Settings* settingsPtrIn, Rndm* rndmPtrIn, CoupSM* coupSMPtrIn)   

initialize pointers to a few other classes. Internal. 
   
 


bool ParticleData::init(string startFile = "../xmldoc/ParticleData.xml")   

read in an XML-style file with particle data and initialize the 
particle data tables accordingly. This command is executed 
in the Pythia constructor, i.e. is mainly for 
internal use. 

argument startFile  (default = ../xmldoc/ParticleData.xml) :  
the name of the data file to be read. When called from the 
Pythia constructor the directory is provided by the 
PYTHIA8DATA 
environment variable, if set, else by the argument of this constructor, 
which has the default value "../xmldoc". 
   
   
 


bool ParticleData::reInit(string startFile, bool xmlFormat = true)   

overwrite the existing database by reading from the specified file. 
Unlike init above this method is not called by the 
Pythia constructor, but is entirely intended for users 
who want to replace the existing particle data with their own. 

argument startFile   : the path and name of file to be read. 
   

argument xmlFormat   : if true read the same kind of XML-style file 
as used by init, if not use an alternative "free format" 
file (i.e. without any XML tags, but with well-defined rules 
specifying in which order properties are stored). 
   
   
 


void ParticleData::initWidths( vector<ResonanceWidths*> resonancePtrs)   

initialize Breit-Wigner shape parameters for all particles, 
and the detailed handling of resonances, i.e. particles with 
perturbatively calculable partial widths, which can be used to 
obtain a mass-dependent Breit-Wigner and a dynamic choice of 
decay channels. Called from Pythia::init(). 
   
 


bool ParticleData::readXML(string inFile, bool reset = true)   

   
void ParticleData::listXML(string outFile)   

read in XML-style data from a file or write it out to a file. For the 
former one can also decide whether to reset all particles to scratch, 
or only overwrite those particles in the file. The former method is 
used by init and reInit above. 
   
 


bool ParticleData::readFF(string inFile, bool reset = true)   

   
void ParticleData::listFF(string outFile)   

read in free-format-style data from a file or write it out to a file. 
For the former one can also decide whether to reset all particles to 
scratch, or only overwrite those particles in the file. The former 
method is used by reInit above. 
   
 


bool ParticleData::readString(string line, bool warn = true, ostream& os = cout)   

read in a string and interpret is as a new or changed particle data. 
The possibilities are extensively described above. It is normally 
used indirectly, via Pythia::readString(...) and 
Pythia::readFile(...). 

argument line   :  
the string to be interpreted as an instruction. 
   

argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the particle does not exist in the database. 
   

argument os  (default = cout) :  
stream for error printout. 
   

Note: the method returns false if it fails to 
make sense out of the input string. 
   
 


void ParticleData::listAll(ostream& os = cout)   

   
void ParticleData::listChanged(ostream& os = cout)   

   
void ParticleData::listChangedAndRes(ostream& os = cout)   

   
void ParticleData::list(bool changedOnly = false, bool changedRes = true, ostream& os = cout)   

methods intended to present a listing of particle data in a readable 
format. The first three are special cases of the fourth. The first 
lists all particle data, the second only data for those particles that 
were changed after the original creation of the particle data table. 
Resonances are a special case since they can get their data changed 
by being linked to an object that does the calculation of branching 
ratios. The second method does not count such resonances as changed, 
whereas the third does and thus lists all resonances. 
   
 


void ParticleData::list(int idList, ostream& os = cout)   

   
void ParticleData::list(vector<int> idList, ostream& os = cout)   

list particle data for one single particle, with the identity code as 
input, or for a set of particles, with an input vector of identity codes. 
   
 


void ParticleData::checkTable(ostream& os = cout)   

   
void ParticleData::checkTable(int verbosity, ostream& os = cout)   

check that the particle decay table makes sense, especially for decays. 

argument verbosity   :  level of checks. 0 is only minimal, 
e.g. if a particle has no open decay channels. 1, which is the level 
of the first method, provides warning if any individual channel is 
closed, except for resonances. 2 also prints the 
branching-ratio-averaged threshold mass. 11 and 12 are like 1 and 2, 
but also include resonances in the detailed checks. 
   
   
 


void ParticleData::addParticle(int id, string name = " ", int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   

   
void ParticleData::addParticle(int id, string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   

add a particle to the decay table; in the first form a particle which is 
its own antiparticle, in the second where a separate antiparticle exists. 
   
 


void ParticleData::setAll(int id, string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0.,double tau0 = 0.)   

change all the properties of the particle associated with a given 
identity code. 
   
 


bool ParticleData::isParticle(int id)   

query whether the particle data table contains the particle of the 
identity code. 
   
 


int ParticleData::nextId(int id)   

return the identity code of the sequentially next particle stored in table. 
   
 


bool ParticleData::hasAnti(int id)   

bool whether a distinct antiparticle exists or not. Is true if an 
antiparticle name has been set (and is different from 
void). 
   
 


void ParticleData::name(int id, string name)   

   
void ParticleData::antiName(int id, string antiName)   

   
void ParticleData::names(int id, string name, string antiName)   

   
string ParticleData::name(int id)   

particle and antiparticle names are stored separately, the sign of 
id determines which of the two is returned, with 
void used to indicate the absence of an antiparticle. 
   
 


void ParticleData::spinType(int id, int spinType)   

   
int ParticleData::spinType(int id)   

the spin type, of the form 2 s + 1, with special code 0 
for entries of unknown or indeterminate spin. 
   
 


void ParticleData::chargeType(int id, int chargeType)   

   
int ParticleData::chargeType(int id)   

three times the charge (to make it an integer), taking into account 
the sign of id. 
   
 


double ParticleData::charge(int id)   

the electrical charge of a particle, equal to 
chargeType(id)/3. 
   
 


void ParticleData::colType(int id, int colType)   

   
int ParticleData::colType(int id)   

the colour type, with 0 uncoloured, 1 triplet, -1 antitriplet and 2 
octet, taking into account the sign of id. 
   
 


void ParticleData::m0(int id, double m0)   

   
double ParticleData::m0(int id)   

the nominal mass m_0 (in GeV). 
   
 


void ParticleData::mWidth(int id, double mWidth)   

   
double ParticleData::mWidth(int id)   

the width Gamma of the Breit-Wigner distribution (in GeV). 
   
 


void ParticleData::mMin(int id, double mMin)   

   
double ParticleData::mMin(int id)   

the lower limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). Has no meaning for particles without width, and would 
typically be 0 there. 
   
 


void ParticleData::mMax(int id, double mMax)   

   
double ParticleData::mMax(int id)   

the upper limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). If mMax < mMin then no upper limit is imposed. 
Has no meaning for particles without width, and would typically 
be 0 there. 
   
 


double ParticleData::m0Min(int id)   

similar to mMin() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


double ParticleData::m0Max(int id)   

similar to mMax() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


void ParticleData::tau0(int id, double tau0)   

   
double ParticleData::tau0(int id)   

the nominal proper lifetime tau_0 (in mm/c). 
   
 


void ParticleData::isResonance(int id, bool isResonance)   

   
bool ParticleData::isResonance(int id)   

a flag telling whether a particle species are considered as a resonance 
or not. Here "resonance" 
is used as shorthand for any massive particle 
where the decay process should be counted as part of the hard process 
itself, and thus be performed before showers and other event aspects 
are added. Restrictions on allowed decay channels is also directly 
reflected in the cross section of simulated processes, while those of 
normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances. 
   
 


void ParticleData::mayDecay(int id, bool mayDecay)   

   
bool ParticleData::mayDecay(int id)   

a flag telling whether a particle species may decay or not, offering 
the main user switch. Whether a given particle of this kind then actually 
will decay also depends on it having allowed decay channels, and on 
other flags for particle decays 
(or resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays. 
   
 


void ParticleData::doExternalDecays(int id, bool doExternalDecays)   

   
bool ParticleData::doExternalDecay(int id)   

a flag telling whether a particle should be handled by an external 
decay package or not, with the latter default. Can be manipulated as 
described on this page, but should normally not be. Instead the 
pythia.decayPtr 
method should be provided with the list of relevant particles. 
   
 


void ParticleData::isVisible(int id, bool isVisible)   

   
bool ParticleData::isVisible(int id)   

a flag telling whether a particle species is to be considered as 
visible in a detector or not, as used e.g. in analysis routines. 
By default this includes neutrinos and a few BSM particles 
(gravitino, sneutrinos, neutralinos) that have neither strong nor 
electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector. 
   
 


void ParticleData::doForceWidth(int id, bool doForceWidth)   

   
bool ParticleData::doForceWidth(int id)   

a flag applicable only for resonances (see isResonance above), 
whereby it is possible to force resonances to retain their assigned widths, 
whatever that is, see Resonance Decays 
for details. The normal behaviour is false, i.e. the width 
is based on hardcoded calculations whenever available. 
   
 


void ParticleData::hasChanged(int id, bool hasChanged)   

   
bool ParticleData::hasChanged(int id)   

keep track of whether the data for a particle has been changed 
in any respect between initialization and the current status. 
Is used e.g. by the listChanged method to determine 
which particles to list. 
   
 


bool ParticleData::useBreitWigner(int id)   

tells whether a particle will have a Breit-Wigner mass distribution or 
not. Is determined by an internal logic based on the particle width and 
on the value of the 
ParticleData:modeBreitWigner 
switch. 
   
 


double ParticleData::constituentMass(int id)   

is the constituent mass for a quark, hardcoded as 
m_u = m_d = 0.325, m_s = 0.50, m_c = 1.60 
and m_b = 5.0 GeV, for a diquark the sum of quark constituent 
masses, and for everything else the same as the ordinary mass. 
   
 


double ParticleData::mSel(int id)   

returns a mass distributed according to a truncated Breit-Wigner, 
with parameters as described here. Is equal to m0(id) for 
particles without width. 
   
 


double ParticleData::mRun(int id, double mH)   

calculate the running mass of species id when probed at a 
hard mass scale of mH. Only applied to obtain the 
running quark masses; for all other particle the normal fixed mass 
is used. 
   
 


bool ParticleData::canDecay(int id)   

true for a particle with at least one decay channel defined. 
   
 


bool ParticleData::isLepton(int id)   

true for a lepton or an antilepton (including neutrinos). 
   
 


bool ParticleData::isQuark(int id)   

true for a quark or an antiquark. 
   
 


bool ParticleData::isGluon(int id)   

true for a gluon. 
   
 


bool ParticleData::isDiquark(int id)   

true for a diquark or antidiquark. 
   
 


bool ParticleData::isParton()   

true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
   
 


bool ParticleData::isHadron(int id)   

true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
   
 


bool ParticleData::isMeson(int id)   

true for a meson. 
   
 


bool ParticleData::isBaryon(int id)   

true for a baryon or antibaryon. 
   
 


bool ParticleData::isOctetHadron(int id)   

true for an intermediate hadron-like state with a colour octet charge 
as used in the colour octet model for 
onia production. 
   
 


int ParticleData::heaviestQuark(int id)   

extracts the heaviest quark or antiquark, i.e. one with largest 
id number, for a hadron. 
   
 


int ParticleData::baryonNumberType(int id)   

is 1 for a quark, 2 for a diquark, 3 for a baryon, the same with a 
minus sign for antiparticles, and else zero. 
   
 


void ParticleData::rescaleBR(int id, double newSumBR = 1.)   

rescales all partial branching ratios by a common factor, such that 
the sum afterward becomes newSumBR. 
   
 


void setResonancePtr(int id, ResonanceWidths* resonancePtr)   

set a pointer for a particle kind to a ResonanceWidths object. 
This is done, from inside ParticleData::initWidths, only for 
resonances, i.e. for particles such as Z^0, W^+-, top, 
Higgs, and new unstable states beyond the Standard Model. The presence 
of such an object will allow a more dynamic calculation of partial and 
total widths, as illustrated by the following methods. 
   
 


void ParticleData::resInit(int id)   

initialize the treatment of a resonance. 
   
 


double ParticleData::resWidth(int id, double mHat, int idInFlav = 0, bool openOnly = false, bool setBR = false)   

calculate the total with for a resonance of a given current mass, 
optionally including coupling to incoming flavour state (consider 
the gamma*/Z^0 combination), optionally excluding decay 
channels that have been closed by the user, and optionally storing 
the results in the normal decay table. 
   
 


double ParticleData::resWidthOpen(int id, double mHat, int idInFlav = 0)   

special case of resWidth, where only open channels are 
included, but results are not stored in the normal decay table. 
   
 


double ParticleData::resWidthStore(int id, double mHat, int idInFlav = 0)   

special case of resWidth, where only open channels are 
included, and results are stored in the normal decay table. 
   
 


double ParticleData::resOpenFrac(int id1, int id2 = 0, int id3 = 0)   

calculate the fraction of the full branching ratio that is left 
open by the user choice of allowed decay channels. Can be applied 
to a final state with up to three resonances. Since the procedure 
is multiplicative, it would be easy to generalize also to more. 
   
 


double ParticleData::resWidthRescaleFactor(int id)   

the factor used to rescale all partial widths in case the total 
width is being forced to a specific value by the user. 
   
 


double ParticleData::resWidthChan(int id, double mHat, int idAbs1 = 0, int idAbs2 = 0)   

special case to calculate one final-state width; currently only used 
for Higgs decay to q qbar, g g or 
gamma gamma. 
   
 


ParticleDataEntry* ParticleData::particleDataEntryPtr(int id)   

returns a pointer to the ParticleDataEntry object. 
The methods in the next section can then be used to manipulate 
this object. 
   
  

The ParticleDataEntry methods
 
 
Most of the methods that can be applied to a single 
ParticleDataEntry object are almost identical with 
those used above for the ParticleData, except 
that the id argument is no longer needed to find 
the right entry in the table. By and large, this makes direct 
access to the ParticleDataEntry methods superfluous. 
There are a few methods that are unique to each class, however. 
Furthermore, to avoid some naming ambiguities, many methods that 
set values begin with set. 
 


ParticleDataEntry::ParticleDataEntry(int id = 0, string name = " ", int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   

   
ParticleDataEntry::ParticleDataEntry(int id, string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   

there are two alternative constructors, that both expect the 
properties of a particle as input. The first assumes that there 
is only one particle, the latter that there is a 
particle-antiparticle pair (but if the antiparticle name is 
void one reverts back to the particle-only case). 
   
 


ParticleDataEntry::~ParticleDataEntry   

the destructor is needed to delete any ResonanceWidths 
objects that have been created and linked to the respective particle. 
   
 


void ParticleDataEntry::setDefaults()   

initialize some particle flags with default values, e.g. whether 
a particle is a resonance, may decay, or is visible. Is called from the 
constructors and from setAll. 
   
 


void ParticleDataEntry::initPtr(ParticleData* particleDataPtrIn)   

initialize pointer back to the whole database (so that masses of 
decay products can be accessed, e.g.). 
   
 


void ParticleDataEntry::setAll( string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0.,double tau0 = 0.)   

change all the properties of the particle associated with a given 
identity code. 
   
 


int ParticleDataEntry::id()   

the PDG identity code. 
   
 


bool ParticleDataEntry::hasAnti()   

tell whether a separate antiparticle exists. 
   
 


void ParticleDataEntry::setName(string name)   

   
void ParticleDataEntry::setAntiName(string antiName)   

   
void ParticleDataEntry::setNames(string name, string antiName)   

   
string ParticleDataEntry::name(int id = 1)   

set or get the particle or antiparticle name. Only the sign of 
id is needed to distinguish particle/antiparticle. 
   
 


void ParticleDataEntry::setSpinType(int spinType)   

   
int ParticleDataEntry::spinType()   

set or get the particle spin type, i.e. 2 s + 1, or 0 in some 
special cases. 
   
 


void ParticleDataEntry::setChargeType(int chargeType)   

   
int ParticleDataEntry::chargeType(int id = 1)   

   
double ParticleDataEntry::charge(int id = 1)   

set or get the particle charge type, i.e. three times the charge, 
or the charge itself. Only the sign of id is needed 
to distinguish particle/antiparticle. 
   
 


void ParticleDataEntry::setColType(int colType)   

   
int ParticleDataEntry::colType(int id = 1)   

set or get the particle colour type, 0 for singlet, 1 for triplet, 
-1 for antitriplet, 2 for octet. Only the sign of id 
is needed to distinguish particle/antiparticle. 
   
 


void ParticleDataEntry::setM0(double m0)   

   
double ParticleDataEntry::m0()   

the nominal mass m_0 (in GeV). 
   
 


void ParticleDataEntry::setMWidth(double mWidth)   

   
double ParticleDataEntry::mWidth()   

the width Gamma of the Breit-Wigner distribution (in GeV). 
   
 


void ParticleDataEntry::setMMin(double mMin)   

   
double ParticleDataEntry::mMin()   

the lower limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). Has no meaning for particles without width, and would 
typically be 0 there. 
   
 


void ParticleDataEntry::setMMax(double mMax)   

   
double ParticleDataEntry::mMax()   

the upper limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). If mMax < mMin then no upper limit is imposed. 
Has no meaning for particles without width, and would typically 
be 0 there. 
   
 


double ParticleDataEntry::m0Min()   

similar to mMin() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


double ParticleDataEntry::m0Max()   

similar to mMax() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


void ParticleDataEntry::setTau0(double tau0)   

   
double ParticleDataEntry::tau0()   

the nominal proper lifetime tau_0 (in mm/c). 
   
 


void ParticleDataEntry::setIsResonance(bool isResonance)   

   
bool ParticleDataEntry::isResonance()   

a flag telling whether a particle species are considered as a resonance 
or not. Here "resonance" 
is used as shorthand for any massive particle 
where the decay process should be counted as part of the hard process 
itself, and thus be performed before showers and other event aspects 
are added. Restrictions on allowed decay channels is also directly 
reflected in the cross section of simulated processes, while those of 
normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances. 
   
 


void ParticleDataEntry::setMayDecay(bool mayDecay)   

   
bool ParticleDataEntry::mayDecay()   

a flag telling whether a particle species may decay or not, offering 
the main user switch. Whether a given particle of this kind then actually 
will decay also depends on it having allowed decay channels, and on 
other flags for particle decays 
(or resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays. 
   
 


void ParticleDataEntry::setDoExternalDecays(bool doExternalDecays)   

   
bool ParticleDataEntry::doExternalDecay()   

a flag telling whether a particle should be handled by an external 
decay package or not, with the latter default. Can be manipulated as 
described on this page, but should normally not be. Instead the 
pythia.decayPtr 
method should be provided with the list of relevant particles. 
   
 


void ParticleDataEntry::setIsVisible(bool isVisible)   

   
bool ParticleDataEntry::isVisible()   

a flag telling whether a particle species is to be considered as 
visible in a detector or not, as used e.g. in analysis routines. 
By default this includes neutrinos and a few BSM particles 
(gravitino, sneutrinos, neutralinos) that have neither strong nor 
electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector. 
   
 


void ParticleDataEntry::setDoForceWidth(bool doForceWidth)   

   
bool ParticleDataEntry::doForceWidth()   

a flag applicable only for resonances (see isResonance above), 
whereby it is possible to force resonances to retain their assigned widths, 
whatever that is, see Resonance Decays 
for details. The normal behaviour is false, i.e. the width 
is based on hardcoded calculations whenever available. 
   
 


void ParticleDataEntry::setHasChanged(bool hasChanged)   

   


void ParticleDataEntry::hasChanged(bool hasChanged)   

keep track of whether the data for a particle has been changed 
in any respect between initialization and the current status. 
Is used e.g. by the ParticleData::listChanged method 
to determine which particles to list. 
   
 


void ParticleDataEntry::initBWmass()   

Prepare the Breit-Wigner mass selection by precalculating 
frequently-used expressions. 
   
 


double ParticleDataEntry::constituentMass()   

is the constituent mass for a quark, hardcoded as 
m_u = m_d = 0.325, m_s = 0.50, m_c = 1.60 
and m_b = 5.0 GeV, for a diquark the sum of quark constituent 
masses, and for everything else the same as the ordinary mass. 
   
 


double ParticleDataEntry::mSel()   

give the mass of a particle, either at the nominal value 
or picked according to a (linear or quadratic) Breit-Wigner. 
   
 


double ParticleDataEntry::mRun(double mH)   

calculate the running quark mass at a hard scale mH. 
For other particles the on-shell mass is given. 
   
 


bool ParticleDataEntry::useBreitWigner()   

tells whether a particle will have a Breit-Wigner mass distribution or 
not. Is determined by an internal logic based on the particle width and 
on the value of the  
ParticleData:modeBreitWigner switch. 
   
 


bool ParticleDataEntry::canDecay(int id)   

true for a particle with at least one decay channel defined. 
   
 


bool ParticleDataEntry::isLepton()   

true for a lepton or an antilepton (including neutrinos). 
   
 


bool ParticleDataEntry::isQuark()   

true for a quark or an antiquark. 
   
 


bool ParticleDataEntry::isGluon()   

true for a gluon. 
   
 


bool ParticleDataEntry::isDiquark()   

true for a diquark or antidiquark. 
   
 


bool ParticleDataEntry::isParton()   

true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
   
 


bool ParticleDataEntry::isHadron()   

true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
   
 


bool ParticleDataEntry::isMeson()   

true for a meson. 
   
 


bool ParticleDataEntry::isBaryon()   

true for a baryon or antibaryon. 
   
 


bool ParticleDataEntry::isOctetHadron()   

true for an intermediate hadron-like state with a colour octet charge 
as used in the colour octet model for 
onia production. 
   
 


int ParticleDataEntry::heaviestQuark(int id)   

extracts the heaviest quark or antiquark, i.e. one with largest 
id number, for a hadron. Only the sign of the input 
argument is relevant. 
   
 


int ParticleDataEntry::baryonNumberType(int id)   

is 1 for a quark, 2 for a diquark, 3 for a baryon, the same with a 
minus sign for antiparticles, and else zero. Only the sign of the 
input argument is relevant. 
   
 


void ParticleDataEntry::clearChannels()   

resets to an empty decay table. 
   
 


void ParticleDataEntry::addChannel(int onMode = 0, double bRatio = 0., int meMode = 0, int prod0 = 0, int prod1 = 0, int prod2 = 0, int prod3 = 0, int prod4 = 0, int prod5 = 0, int prod6 = 0,  int prod7 = 0,)   

adds a decay channel with up to 8 products. 
   
 


int ParticleDataEntry::sizeChannels()   

returns the number of decay channels for a particle. 
   
 


DecayChannel& ParticleDataEntry::channel(int i)   

   
const DecayChannel& ParticleDataEntry::channel(int i)   

gain access to a specified channel in the decay table. 
   
 


void ParticleDataEntry::rescaleBR(double newSumBR = 1.)   

rescales all partial branching ratios by a common factor, such that 
the sum afterward becomes newSumBR. 
   
 


bool ParticleDataEntry::preparePick(int idSgn, double mHat = 0., int idInFlav = 0)   

prepare to pick a decay channel. 
   
 


DecayChannel& ParticleDataEntry::pickChannel()   

pick a decay channel according to branching ratios from 
preparePick. 
   
 


void ParticleDataEntry::setResonancePtr(ResonanceWidths* resonancePtr)   

   
ResonanceWidths* ParticleDataEntry::getResonancePtr()   

set or get a pointer to an object that can be used for dynamic calculation 
of partial and total resonance widths. Here a resonance is a particle 
such as top, Z^0, W^+-, Higgs, and new unstable states 
beyond the Standard Model. 
   
 


void ParticleDataEntry::resInit(Info* infoPtrIn, Settings* settingsPtrIn, ParticleData* particleDataPtrIn, CoupSM* coupSMPtrIn)   

initialize the treatment of a resonance. 
   
 


double ParticleDataEntry::resWidth(int idSgn, double mHat, int idInFlav = 0, bool openOnly = false, bool setBR = false)   

calculate the total with for a resonance of a given current mass, 
optionally including coupling to incoming flavour state (consider 
the gamma*/Z^0 combination), optionally excluding decay 
channels that have been closed by the user, and optionally storing 
the results in the normal decay table. For the first argument only 
the sign is relevant. 
   
 


double ParticleDataEntry::resWidthOpen(int idSgn, double mHat, int idInFlav = 0)   

special case of resWidth, where only open channels are 
included, but results are not stored in the normal decay table. 
   
 


double ParticleDataEntry::resWidthStore(int idSgn, double mHat, int idInFlav = 0)   

special case of resWidth, where only open channels are 
included, and results are stored in the normal decay table. 
   
 


double ParticleDataEntry::resOpenFrac(int idSgn)   

calculate the fraction of the full branching ratio that is left 
open by the user choice of allowed decay channels. 
   
 


double ParticleDataEntry::resWidthRescaleFactor()   

the factor used to rescale all partial widths in case the total 
width is being forced to a specific value by the user. 
   
 


double ParticleDataEntry::resWidthChan(double mHat, int idAbs1 = 0, int idAbs2 = 0)   

special case to calculate one final-state width; currently only used 
for Higgs decay to q qbar, g g or 
gamma gamma. 
   
 

The DecayChannel methods
 
 
The properties stored in an individual decay channel can be set or get 
by the methods in this section. 
 


DecayChannel::DecayChannel(int onMode = 0, double bRatio = 0., int meMode = 0, int prod0 = 0, int prod1 = 0, int prod2 = 0, int prod3 = 0, int prod4 = 0, int prod5 = 0, int prod6 = 0, int prod7 = 0)   

the constructor for a decay channel. Internal. 
   
 


void DecayChannel::onMode(int onMode)   

   
int DecayChannel::onMode()   

set or get the onMode of a decay channel,
 
0 if a channel is off,
 
1 if on,
 
2 if on for a particle but off for an antiparticle,
 
3 if on for an antiparticle but off for a particle.
 
If a particle is its own antiparticle then 2 is on and 3 off 
but, of course, for such particles it is much simpler and safer 
to use only 1 and 0.
 
The 2 and 3 options can be used e.g. to encode CP violation in 
B decays, or to let the W's in a q qbar → W^+ W^- 
process decay in different channels. 
   
 


void DecayChannel::bRatio(double bRatio, bool countAsChanged = true)   

   
double DecayChannel::bRatio()   

set or get the branching ratio of the channel. Second argument only 
for internal use. 
   
 


void DecayChannel::rescaleBR(double fac)   

multiply the current branching ratio by fac. 
   
 


void DecayChannel::meMode(int meMode)   

   
int DecayChannel::meMode()   

set or get the mode of processing this channel, possibly with matrix 
elements (see the particle decays 
and resonance decays descriptions). 
   
 


void DecayChannel::multiplicity(int multiplicity)   

   
int DecayChannel::multiplicity()   

set or get the number of decay products in a channel, at most 8. 
(Is normally not to be set by hand, since it is automatically 
updated whenever the products list is changed.) 
   
 


void DecayChannel::product(int i, int product)   

   
int DecayChannel::product(int i)   

set or get a list of the decay products, 8 products 0 <= i < 8, 
with trailing unused ones set to 0. 
   
 


void DecayChannel::setHasChanged(bool hasChanged)   

   
bool DecayChannel::hasChanged()   

used for internal purposes, to know which decay modes have been changed. 
   
 


bool DecayChannel::contains(int id1)   

   
bool DecayChannel::contains(int id1, int id2)   

   
bool DecayChannel::contains(int id1, int id2, int id3)   

find if the decay product list contains the one, two or three particle 
identities provided. If the same code is repeated then so must it be in 
the products list. Matching also requires correct sign. 
   
 


void DecayChannel::currentBR(double currentBR)   

   
double DecayChannel::currentBR()   

set or get the current branching ratio, taking into account on/off 
switches and dynamic width for resonances. For internal use. 
   
 


void DecayChannel::onShellWidth(double onShellWidth)   

   
double DecayChannel::onShellWidth()   

set or get the current partial width of the channel; intended for 
resonances where the widths are recalculated based on the current 
resonance mass. For internal use. 
   
 


void DecayChannel::onShellWidthFactor(double factor)   

multiply the current partial width by factor. 
   
 


void DecayChannel::openSec(int idSgn, double openSecIn)   

   
double DecayChannel::openSec(nt idSgn)   

set or get the fraction of secondary open widths, separately for 
positive and negative particles. For internal use. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/RandomNumberSeed.html0000644000175000017500000000302012357553535020061 0ustar  sunsun

Random-Number Seed




 

Random-Number Seed
 
 
The seed of the random number generator can be set as follows: 
 

flag   Random:setSeed   
 (default = off)

Indicates whether a user-set seed should be used every time the 
Pythia::init routine is called. If off, the random number 
generator is initialized with its default seed at the beginning 
of the run, and never again. If on, each new Pythia::init 
call (should several be made in the same run) results in the random 
number being re-initialized, thereby possibly starting over with the 
same sequence, if you do not watch out. 
   
 

mode   Random:seed   
 (default = -1; maximum = 900000000)

The seed to be used, if setSeed is on.
 
A negative value gives the default seed,
 
a value 0 gives a random seed based on the time, and
 
a value between 1 and 900,000,000 a unique different random number 
sequence. 
   
 

 
For more on random numbers see here. 
This includes methods to save and restore the state of the generator, 
and some preprogrammed methods to generate non-uniform random numbers. 
 


 
 
pythia8-8.1.86.orig/htmldoc/RandomNumbers.html0000644000175000017500000001321412357553536017452 0ustar  sunsun

Random Numbers




     

Random Numbers
 
 
This page describes the random-number generator in PYTHIA and 
how it can be replaced by an external one. 
  

Internal random numbers
 
 
The Rndm class generates random numbers, using the 
Marsaglia-Zaman-Tsang algorithm [Mar90]. 
 

 
Random numbers R uniformly distributed in 
0 < R < 1 are obtained with 

 
   Rndm::flat(); 

 
There are also methods to generate according to an exponential, to 
x * exp(-x), to a Gaussian, or picked among a set of 
possibilities, which make use of flat(). 
 

 
If the random number generator is not initialized before, it will be 
so the first time it is asked to generate a random number, and then 
with the default seed, 19780503. This means that, by default, all runs 
will use identically the same random number sequence. This is 
convenient for debugging purposes, but dangerous if you intend to 
run several "identical" jobs to boost statistics. You can initialize, 
or reinitialize, with your own choice of seed with a 

 
   Rndm::init(seed); 

 
Here values 0 < seed < 900 000 000 gives so many 
different random number sequences, while seed = 0 will call 
the Stdlib time(0) function to provide a "random" 
seed, and seed < 0 will revert back to 
the default seed. 
 

 
The Pythia class defines a 
flag and a mode, that allows the seed to be set in 
the Pythia::init call. That would be the standard way for a 
user to pick the random number sequence in a run. 
 

External random numbers
 
 
RndmEngine is a base class for the external handling of 
random-number generation. The user-written derived class is called 
if a pointer to it has been handed in with the 
pythia.rndmEnginePtr() method. Since the default 
Marsaglia-Zaman-Tsang algorithm is quite good, chances are that any 
replacement would be a step down, but this may still be required by 
consistency with other program elements in big experimental frameworks. 
 

 
There is only one pure virtual method in RndmEngine, to 
generate one random number flat in the range between 0 and 1: 

 
  virtual double flat() = 0; 

 
Note that methods for initialization are not provided in the base 
class, in part since input parameters may be specific to the generator 
used, in part since initialization can as well be taken care of 
externally to the Pythia code. 
 

 
An example illustrating how to run with an external random number 
generator is provided in main23.cc. 
 

The methods
 
 
We here collect a more complete and formal overview of the methods. 
    


Rndm::Rndm()   

construct a random number generator, but does not initialize it. 
   
    


Rndm::Rndm(int seed)   

construct a random number generator, and initialize it for the 
given seed number. 
   
    


bool Rndm::rndmEnginePtr( RndmEngine* rndmPtr)   

pass in pointer for external random number generation. 
   
    


void Rndm::init(int seed = 0)   

initialize, or reinitialize, the random number generator for the given 
seed number. Not necessary if the seed was already set in the constructor. 
   
    


double Rndm::flat()   

generate next random number uniformly between 0 and 1. 
   
    


double Rndm::exp()   

generate random numbers according to exp(-x). 
   
    


double Rndm::xexp()   

generate random numbers according to x exp(-x). 
   
    


double Rndm::gauss()   

generate random numbers according to exp(-x^2/2). 
   
    


pair<double, double> Rndm::gauss2()   

generate a pair of random numbers according to 
exp( -(x^2 + y^2) / 2). Is faster than two calls 
to gauss(). 
   
    


int Rndm::pick(const vector& prob)   

pick one option among vector of (positive) probabilities. 
   
    


bool Rndm::dumpState(string fileName)   

save the current state of the random number generator to a binary 
file. This involves two integers and 100 double-precision numbers. 
Intended for debug purposes. Note that binary files may be 
platform-dependent and thus not transportable. 
   
    


bool Rndm::readState(string fileName)   

set the state of the random number generator by reading in a binary 
file saved by the above command. Comments as above. 
   
    


virtual double RndmEngine::flat()   

if you want to construct an external random number generator 
(or generator interface) then you must implement this method 
in your class derived from the RndmEningen base class, 
to give a random number between 0 and 1. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/SUSYProcesses.html0000644000175000017500000004330212357553535017370 0ustar  sunsun

SUSY Processes




 

SUSY
 

 
Here is collected processes involving supersymmetric particle 
production, with the exception of the (extended) Higgs sector. 
Since the number of separate but closely related processes is so big, 
there will not be switches for each separate process but only for a 
reasonable set of subgroups. However, the general switches 
SUSY:idA and SUSY:idB,valternatively 
vectors SUSY:idVecA and SUSY:idVecB, 
may be used in conjunction with any of these groups to provide 
some additional flexibility to concentrate on processes involving 
only specific (s)particle final states, see below. 

 
 

 
Most of the SUSY implementation in PYTHIA 8 has been written by 
N. Desai and is documented in [Des11]. Please give due 
credit to external contributions to PYTHIA 8, such as this one, by 
including the original work in your list of references when using this 
implementation. The cross section formulae are mostly taken from 
[Boz07] and [Fuk11]. 

 
 

Since the implementation of SUSY processes was only recently 
completed [Des11], case-by-case validations against other codes 
are still recommended. A set of default validations have 
already been carried out by the authors, comparing to 
the PYTHIA 6 SUSY implementation and to the XSUSY code, 
using an sps1a spectrum. Explicit 
validations of the non-trivial SLHA2-specific extensions have 
generally not been carried out yet, with the exception of the R-parity 
violating single-sparticle production cross sections. Please report 
the results of any user validations you may carry out to the authors. 

 
 

Important Note on SLHA: 
In order to simulate SUSY processes it is required to read in the 
couplings and masses relevant for the scenario to be studied. This 
is done with the help of the SUSY Les Houches Accord (SLHA), including 
the SLHA2 extensions and generalizations. (Internally, the SLHA2 
conventions are used. SLHA1 spectra are automatically translated into 
SLHA2 notation during initialization.) The 
reading of a relevant SLHA file must be set up, as described 
on the SLHA page. 
Attempting to generate SUSY processes without a properly initialized 
SLHA spectrum is strongly discouraged and may lead to unexpected 
results. Always check for warnings and errors reported by the SLHA 
reader during the initialization stage. 
 

SUSY Processes
 
 

Note 1: Decays of SUSY particles are described 
separately below. 
 

Note 2: One special possibility is that the gluino or 
some squark(s) are sufficiently long-lived to hadronize. See 
the R-hadrons page for further details. 
 

Note 3: lepton- and photon-initial states are not yet available. 
Only quark/gluon-initiated 2 → 2 and 2 → 1 (RPV) 
processes have been implemented. 
 

Note 4: cross sections will be correctly folded with open 
branching fractions of cascade decays, but at present any difference between 
particle and antiparticle decay tables is not taken into account. This 
possibility will be included in a future update. 
 

flag   SUSY:all   
 (default = off)

Common switch for production of supersymmetric particles, i.e. 
particles with R-parity -1. 
   
 

mode   SUSY:idA   
 (default = 0; minimum = 0)

Option to limit the sum over possible outgoing states in SUSY 
2 → 2 processes to ones including a specific particle 
identity code. The default corresponds to summing over all possible 
indices. A non-zero value of SUSY:idA selects only processes 
that contain the state corresponding to that particular particle identity 
code in the fundamental 2 → 2 scattering process (summed 
over particle/antiparticle). It is the user's responsibility to ensure 
that (a subset of) the processes to be simulated actually include this 
particle at the 2 → 2 level; thus, asking for the lightest 
neutralino (code 1000021) to be present in a squark-squark production 
process will give no match. 
   
 

mode   SUSY:idB   
 (default = 0; minimum = 0)

As for SUSY:idA, but requires an additional particle 
with PDG code SUSY:idB to be present in the 2 → 2 
process. Thus, using  SUSY:idA and  SUSY:idB 
a specific subprocess can be selected. Again only the absolute sign is 
used, i.e. the summation over particle and antiparticle is retained. 
Also the order of SUSY:idA and SUSY:idB is 
irrelevant; since both possible orderings are checked for a match 
with the two outgoing particles. (Although not recommended, should 
SUSY:idA be zero and SUSY:idB nonzero 
a match is searched for just like in the normal case with 
SUSY:idA nonzero and SUSY:idB zero.) 
   
 

mvec   SUSY:idVecA   
 (default = 0; minimum = 0)

As for SUSY:idA, but as a vector of PDG codes. 
(Character-string input of such vectors should be as a 
comma-separated list, without any blanks.) Thus, it selects only 
processes that have a final-state particle corresponding to one 
of the identity codes in this vector. Note that, to activate this, 
SUSY:idA must be equal to zero; if not then the match 
to SUSY:idA takes precedence. 
   
 

mvec   SUSY:idVecB   
 (default = 0; minimum = 0)

As for SUSY:idB, but as a vector of PDG codes. 
(Character-string input of such vectors should be as a 
comma-separated list, without any blanks.) As above, to activate this, 
SUSY:idB must be equal to zero; if not then the match to 
SUSY:idB takes precedence. For the matching, either of 
SUSY:idA and SUSY:idVecA may be combined with 
either of SUSY:idB and SUSY:idVecB. 
As above one of the two outgoing SUSY particles must match one of the 
particles in SUSY:id(Vec)A and the other one of the 
particles in SUSY:id(Vec)B when both are nonzero. 
   
 

mode   SUSY:sin2thetaWMode   
 (default = 2; minimum = 1; maximum = 3)

The value of sin2(thetaW) should be taken from 

option  1 : SM value, defined at M_Z, taken from 
PYTHIA's StandardModel:sin2thetaW parameter.   

option  2 : SUSY value, defined at M_SUSY, derived from the 
running gauge couplings in BLOCK GAUGE in the SLHA 
file. Note: if no such block is present in the input file, this option 
will default back to option 1 above, i.e., the SM value.   

option  3 : Pole value, defined by 1 - M_W^2/M_Z^2, 
using the pole masses stored in the SLHA BLOCK MASS, or, 
alternatively, PYTHIA's internal pole masses if no such block is 
present.   
   
 

Gluino Pair Production
 
 

flag   SUSY:gg2gluinogluino   
 (default = off)

Pair production of gluinos by gluon-gluon initial states. 
   
 

flag   SUSY:qqbar2gluinogluino   
 (default = off)

Pair production of gluinos by quark-antiquark annihilation and 
t-channel squark exchange.  The cross section 
expression follows [Fuk11] and include the possibility 
of non-minimal flavour violation through misalignment of quarks with 
squarks. Only the MFV case has been explicitly validated. 
   
 

Associated Squark-Gluino Production
 
 

flag   SUSY:qg2squarkgluino   
 (default = off)

Associated production of a squark with a gluino. The cross section 
expression follows [Fuk11] and include the possibility 
of non-minimal flavour violation through misalignment of quarks with 
squarks. Only the MFV case has been explicitly validated. 
   
 

Squark Pair Production
 
 

flag   SUSY:gg2squarkantisquark   
 (default = off)

Pair production of a scalar quark together with a scalar antiquark by 
gluon annihilation via s-channel gluon exchange, t- and 
u-channel squark exchange, and the direct 4-point coupling. 
The cross section expression follows [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

flag   SUSY:qqbar2squarkantisquark   
 (default = off)

Pair production of a scalar quark together with a scalar antiquark 
by quark-antiquark annihilation. 
For same-isospin ~q~q* production (i.e., ~u~u*, 
~u~c*, ...), the s-channel gluon, photon, and 
Z and t-channel gluino contributions have so far 
been implemented (i.e., the t-channel neutralino contributions 
are neglected). For opposite-isospin ~q~q* production 
(~u~d*, ~u~s*, ...), the s-channel W 
and t-channel gluino contributions have been implemented 
(i.e., the t-channel neutralino contributions are neglected). 
The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
(Note to PYTHIA 6 users: 
in older PYTHIA 6 versions, a bug caused the ~t1~t2* cross to be 
overcounted by a factor of 2. Starting from version 6.4.24, that 
generator now agrees with the implementation here.) 
   
 

flag   SUSY:qqbar2squarkantisquark:onlyQCD   
 (default = off)

When switched on this flag switches off all but the 
s-channel gluon contribution in the 
calculation of same-isospin squark-antisquark production cross 
sections. Intended for reference only. For the most 
accurate physics simulation, leave this flag in the off 
position. 
   
 

flag   SUSY:qq2squarksquark   
 (default = off)

Pair production of scalar quarks (squark-squark and its charge 
conjugate process; for squark-antisquark production see above) 
by t- and u-channel gluino, neutralino, and 
chargino exchange. The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
(Note to PYTHIA 6 users: PYTHIA 6 only included the gluino exchange 
contribution, which typically dominates due to the size of the strong 
coupling; for counterchecks, 
the flag SUSY:qq2squarksquark:onlyQCD 
below can be switched on to eliminate the chargino and neutralino 
contributions.) 
   
 

flag   SUSY:qq2squarksquark:onlyQCD   
 (default = off)

When switched on this flag causes the t- or 
u-channel neutralino and chargino contributions to be 
ignored in the calculation of squark pair production cross sections. 
Intended for reference only. For the most accurate physics simulation, 
leave this flag in the off position. 
   
 

Neutralino and Chargino Pair Production
 
 

flag   SUSY:qqbar2chi0chi0   
 (default = off)

Pair production of neutralinos by quark-antiquark annihilation. With 
four neutralino species this gives ten separate processes, codes 
1201 - 1210. The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

flag   SUSY:qqbar2chi+-chi0   
 (default = off)

Associated chargino-neutralino production by quark-antiquark 
annihilation. With four neutralino species, two chargino ones, and 
maintaining charge conjugate processes separate, this gives 16 
separate processes, codes 1221 - 1236. The cross section expressions 
follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

flag   SUSY:qqbar2chi+chi-   
 (default = off)

Pair production of charginos by quark-antiquark annihilation. With 
two chargino species and maintaining mutually charge conjugate 
processes separate, this gives four separate processes, codes 
1241 - 1244. The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

Associated Neutralino/Chargino + Squark/Gluino Production
 
 

flag   SUSY:qg2chi0squark   
 (default = off)

Pair production of neutralinos from quark-gluon initial states. 
The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

flag   SUSY:qg2chi+-squark   
 (default = off)

Associated chargino-squark production from quark-gluon initial states. 
annihilation. The cross section expressions 
follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

flag   SUSY:qqbar2chi0gluino   
 (default = off)

Associated neutralino-gluino production by quark-antiquark 
annihilation. 
The cross section expressions follow 
[Fuk11]. Only the MFV case has been explicitly validated. 
   
 

flag   SUSY:qqbar2chi+-gluino   
 (default = off)

Associated chargino-gluino production by quark-antiquark 
annihilation. The cross section expressions follow 
[Fuk11]. Only the MFV case has been explicitly 
validated. (Note to PYTHIA 6 users: small differences between 
this implementation and PYTHIA 6 arise due 
to slightly different treatments of the weak mixing angle, 
which is fixed in PYTHIA 6, while it is computed from the SLHA input 
in PYTHIA 8; see SUSY:sin2thetaWMode above.) 
   
 

Slepton Production
 

flag   SUSY:qqbar2sleptonantislepton   
 (default = off)

Pair production of slepton-antislepton via s-channel W, Z and gamma 
exchange.  Includes both charged sleptons and sneutrinos but right 
handed sneutrinos currently not supported. 
   
 
 

R-parity violating squark production
 
 

flag   SUSY:qq2antisquark   
 (default = off)

Resonant squark production via R-parity violating UDD couplings. The 
couplings must be input using the SLHA2 structure. 
   
 
 

Decays of SUSY Particles
 
 
Based on the parameters read in from the SLHA, PYTHIA 8 will normally 
compute the decay modes of SUSY particles automatically, using the 
SusyResonanceDecays class(es). Essentially all tree-level 
2-body decays in the MSSM 
have been implemented this way, excepting so far only those involving 
Higgs bosons (either in the in- or out-state) or gravitinos. 
Available channels so far include: 

     

  • ~q → q + ~chi
    •  

  • ~q → ~q + W/Z
    •  

  • ~q → q + q (RPV UDD)
    •  

  • ~q → l + q (RPV LQD)
    •  

  • ~g → ~q + q
    •  

  • ~chi → ~chi + Z/W
    •  

  • ~chi → ~q + q
    •  

  • ~chi → ~l/~nu + l/nu
    •  

  • ~chi0 → q + q + q (RPV UDD)
    •  

  • ~l/~nu → l/nu + ~chi
    •  

  • ~l/~nu → ~l/~nu + W/Z
    •  

 
All channels are still undergoing validation, so this 
implementation should be considered preliminary. 
Still missing but to be included in a forthcoming update 
are: 3-body decays of charginos (via RPV), and 2-body decays of squarks and 
gauginos with Higgs as one of the decay products. 
 
Some 3-body decays have been implemented with Matrix Element weighting. 
In particular, those for a neutralino to a lighter neutralino and a 
fermion pair can be enabled. 
 

flag   SUSYResonance:3BodyMatrixElement   
 (default = off)

When "on", the spin-averaged, squared matrix element is used 
to sample the phase space for resonance decay.  Currently, only 
possible for a heavy neutralino decay to a light neutralino 
and a fermion-antifermion pair. 
   
 
 


 
 
 
pythia8-8.1.86.orig/htmldoc/ImplementNewShowers.html0000644000175000017500000006662312357553536020671 0ustar  sunsun

Implement New Showers




 

Implement New Showers
 
 
In case you want to replace the PYTHIA initial- and final-state 
showers by your own, it is possible but not trivial. The point is 
that multiparton interactions (MPI), initial-state radiation (ISR) and 
final-state radiation (FSR) in general appear in one single 
interleaved sequence of decreasing pT values. Therefore 
shower replacements would have to be able to play the game by such 
rules, as we will outline further below. Of course, this still 
leaves the field open exactly how to define what to mean by 
pT, how to handle recoil effects, how the colour flow is 
affected, and so on, so there is certainly room for alternative 
showers. A first example of a shower implemented within the PYTHIA 
context is VINCIA. 
 

 
For the moment we assume you want to keep the MPI part of the story 
unchanged, and make use of the existing beam-remnants (BR) machinery. 
If you want to replace both MPI, ISR, FSR and BR then you had better 
replace the whole PartonLevel module of the code. 
If, in addition, you want to produce your own hard processes, 
then you only need the 
hadron-level standalone 
part of the machinery. 
 

 
In order to write replacement codes for ISR and/or FSR it is useful 
to be aware of which information has to be shared between the 
different components, and which input/output structure is required 
of the relevant methods. For details, nothing beats studying the 
existing code. However, here we provide an overview, that should 
serve as a useful introduction. 
 

 
It should be noted that we here primarily address the problem in 
its full generality, with interleaved MPI, ISR and FSR. There exists 
an option TimeShower:interleave = off where only 
MPI and ISR would be interleaved and FSR be considered after these 
two, but still before BR. Most of the aspects described here would 
apply also for that case. By contrast, resonance decays are only 
considered after all the four above components, and timelike 
showers in those decays would never be interleaved with anything 
else, so are much simpler to administrate. 
 

 
Therefore the  
pythia.setShowerPtr( timesDecPtr, timesPtr, spacePtr) 
method allows two separate pointers to be set to instances of 
derived TimeShower classes. The first is only required 
to handle decays, say of Z^0 or Upsilon, with no 
dependence on beam remnants or ISR. The second, as well as 
spacePtr, has to handle the interleaved evolution of MPI, 
ISR and FSR. Therefore you are free to implement only the first, and 
let the PYTHIA default showers take care of the latter two. But, if 
you wanted to, you could also set timesDecPtr = 0 and 
only provide a timesPtr, or only a spacePtr. 
If your timelike shower does both cases, the first two pointers 
can agree. The only tiny point to take into account then is that 
init( beamAPtr, beamBPtr) is called twice, a first time 
to timesDecPtr with beam pointers 0, and a second time 
to timesPtr with nonvanishing beam pointers. 
 

The event record and associated information
 
 
Obviously the main place for sharing information is the event 
record, specifically the Event event member of 
Pythia, passed around as a reference. It is 
assumed you already studied how it works, so here we only draw 
attention to a few aspects of special relevance. 
 

 
One basic principle is that existing partons should not be 
overwritten. Instead new partons should be created, even when a 
parton only receives a slightly shifted momentum and for the rest 
stays the same. Such "carbon copies" by final-state branchings 
should be denoted by both daughter indices of the original parton 
pointing to the copy, and both mother indices of the copy to the 
original. If the copy instead is intended to represent an earlier 
step, e.g. in ISR backwards evolution, the role of mothers and 
daughters is interchanged. The 
event.copy( iCopy, newStatus) 
routine can take care of this tedious task; the sign of 
newStatus tells the program which case to assume. 
 

 
To make the event record legible it is essential that the 
status codes 
are selected appropriately to represent the reason why each new 
parton is added to the record. Also remember to change the 
status of a parton to be negative whenever an existing parton 
is replaced by a set of new daughter partons. 
 

 
Another important parton property is scale(), 
which does not appear in the normal event listing, but only 
if you use the extended 
Event:listScaleAndVertex = on option. 
This property is supposed to represent the production scale 
(in GeV) of a parton. In the current FSR and ISR algorithms 
it is used to restrict from above the allowed pT 
values for branchings of this particular parton. 
Beam remnants and other partons that should not radiate are 
assigned scale 0. 
 

 
Auxiliary to the event record proper is the 
PartonSystems 
class, that keep track of which partons belong together in the 
same scattering subsystem. This information must be kept up-to-date 
during the shower evolution. 
 

 
For initial-state showers it is also necessary to keep track of 
the partonic content extracted from the beams. This information 
is stored in the 
BeamParticle 
class. 
 

The TimeShower interface
 
 
If you want to replace the TimeShower class this would 
involve replacing the virtual methods among the following ones. 
 


TimeShower::TimeShower()   

The constructor does not need to do anything. 
   
 


virtual TimeShower::~TimeShower()   

The destructor does not need to do anything. 
   
 


void TimeShower::initPtr(Info* infoPtr, Settings* settingsPtr, ParticleData* particleDataPtr, Rndm* rndmPtr, CoupSM* coupSMPtr, PartonSystems* partonSystemsPtr, UserHooks* userHooksPtr)   

This method only imports pointers to standard facilities, 
and is not virtual. 
   
 


virtual void TimeShower::init( BeamParticle* beamAPtrIn = 0, BeamParticle* beamBPtrIn = 0)   

You have to store your local copy of the pointers to these objects, 
since they have to be used during the generation, as explained above. 
The pointers could be zero; e.g. a local copy of TimeShower 
is created to handle showers in decays such as Upsilon → q qbar 
from inside the ParticleDecays class. This is also the 
place to do initialization of whatever parameters you plan to use, 
e.g. by reading in them from a user-accessible database like the 
Settings one. 
   
 


virtual bool TimeShower::limitPTmax( Event& event, double Q2Fac = 0.,  double Q2Ren = 0.)   

The question is whether the FSR should be allowed to occur at larger 
scales than the hard process it surrounds. This is process-dependent, 
as illustrated below for the the analogous 
SpaeShower::limitPTmax(...) method, although the two 
kinds of radiation need not have to be modeled identically. 
The TimeShower:pTmaxMatch switch allows you to force the 
behaviour among three options, but you may replace by your own logic. 

The internal PYTHIA implementation also allows intermediate options, 
where emissions can go up to the kinematical limit but be dampened above 
the factorization or renormalization scale. Therefore the (square of the) 
latter two are provided as optional input parameters. 
   
 


double TimeShower::enhancePTmax()   

Relative to the default pT_max evolution scale of the process, 
it may still be convenient to vary the matching slightly for the hardest 
interaction in an event, to probe the sensitivity to such details. The 
base-class implementation returns the value of the 
TimeShower:pTmaxFudge parameter. 
   
 


virtual int TimeShower::shower( int iBeg, int iEnd, Event& event, double pTmax, int nBranchMax = 0)   

This is an all-in-one call for shower evolution, and as such cannot be 
used for the normal interleaved evolution, where only the routines below 
are used. It also cannot be used in resonance decays that form part of 
the hard process, since there the 
user hooks insert a potential 
veto step. Currently this routine is therefore only used in the 
hadron-level decays, e.g. Upsilon → g g g. 

iBeg and iEnd is the position of the 
first and last parton of a separate system, typically produced by a 
resonance decay. Such a system only evolves in isolation, and in 
particular does not relate to the beams. 

The pTmax value sets the maximum scale for evolution, 
but normally you would restrict that further for each individual 
parton based on its respective scale value. 

The nBranchMax value, if positive, gives the maximum 
number of allowed branchings in the call, as useful for matching studies. 

The routine is expected to return the number of FSR branchings that 
were generated, but only for non-critical statistics purposes. 

Since the real action typically is delegated to the routines 
below, it may well be that the existing code need not be replaced. 
   
 


virtual int TimeShower::showerQED( int iBeg, int iEnd, Event& event, double pTmax)   

This is a further simplified version of the shower 
method above. Currently it only handles the emission of photons 
in the decay of a hadron into a pair of leptons, either a charged 
lepton-antilepton or a lepton-neutrino pair. It is properly matched 
to the matrix element in the decay via a virtual photon or 
W^+-, respectively. It is called as part of such decays 
if ParticleDecays:allowPhotonRadiation = on, which is 
not the default value. 
   
 


double TimeShower::pTLastInShower()   

Can be used to return the pT evolution scale of the last 
branching in the cascade generated with the above 
shower(...) method. Is to be set in the internal 
pTLastInShower variable, and should be 0 if there 
were no branchings. Can be useful for matching studies. 
   
 


virtual void TimeShower::prepareGlobal( Event& event)   

This method resets some counters and extracts the locations of 
outgoing partons, in preparation of using the optional global recoil 
scheme. Unlike prepare(...) below it is only called 
once during the parton-level evolution, since it only relates to 
the hardest interaction. Is probably of no use to most people. 
 


virtual void TimeShower::prepare( int iSys, Event& event, bool limitPTmaxIn = true)   

This method is called immediately after a new interaction (or the 
products of a resonance decay) has been added, and should then be used 
to prepare the subsystem of partons for subsequent evolution. In 
the current code this involves identifying all colour and charge 
dipole ends: the position of radiating and recoiling partons, maximum 
pT scales, possible higher-order matrix elements matchings 
to apply, and so on. 

The iSys parameter specifies which parton system 
is to be prepared. It is used to extract the set of partons to be 
treated, with rules as described in the above section on subsystems. 
Specifically, the first two partons represent the incoming state, 
or are 0 for resonance decays unrelated to the beams, while the 
rest are not required to be in any particular order. 

The limitPTmaxIn switch conveys the choice made 
on maximum scale for the dipole-ends evolution associated with the 
hard interaction of the event (while scales for subsequent MPIs by 
default are set to respect pT ordering). If true 
then this scale is set by the user choice options, 
see the TimeShower::limitPTmax method above, 
while if false emissions are allowed to go up to the 
kinematical limit. For the two-hard-interactions scenario, the two 
class variables dopTlimit1 and dopTlimit2 
instead convey the choice made. 
   
 


virtual void TimeShower::rescatterUpdate( int iSys, Event& event)   

This method is called immediately after rescattering in the description 
of multiparton interactions. Thus the information on one or several 
systems is out-of-date, while that of the others is unchanged. 
We do not provide the details here, since we presume few implementors 
of new showers will want to touch the technicalities involved 
in obtaining a description of rescattering. 
   
 


virtual void TimeShower::update( int iSys, Event& event, bool hasWeakRad = false)   

This method is called immediately after a spacelike branching in the 
iSys'th subsystem. Thus the information for that system is 
out-of-date, while that of the others is unchanged. If you want, you are 
free to throw away all information for the affected subsystem and call 
prepare( iSys, event) to create new one. Alternatively 
you may choose only to update the information that has changed. The 
optional final argument is used to signal if a weak radiation has 
occured in the spacelike evolution, which might be used to switch off 
the timelike weak emissions. 
   
 


virtual double TimeShower::pTnext( Event& event, double pTbegAll, double pTendAll, bool isFirstTrial = false)   

This is the main driver routine for the downwards evolution. A new 
pT is to be selected based on the current information set up 
by the routines above, and along with that a branching parton or dipole. 
The pTbegAll scale is the maximum scale allowed, from which 
the downwards evolution should be begun (usually respecting the maximum 
scale of each individual parton). If no emission is found above 
pTendAll (and above the respective shower cutoff scales) 
then 0. should be returned and no emissions will be allowed. 
Both scales can vary from one event to the next: if a scale has 
already been selected for MPI or ISR it makes no sense to look for 
a scale smaller than that from FSR, since it would not be able to 
compete, so pTendAll is set correspondingly. As it happens, 
FSR is tried before ISR and MPI in the interleaved evolution, 
but this is an implementation detail that could well change. 

Typically the implementation of this routine would be to set 
up a loop over all possible radiating objects (dipoles, dipole ends, ...), 
for each pick its possible branching scale and then pick the one 
with largest scale as possible winner. At this stage no branching should 
actually be carried out, since MPI, ISR and FSR still have to be compared 
to assign the winner. 

The isFirstTrial is true only for the 
very first emission, and is currently used in the global recoil option.
   
 


virtual bool TimeShower::branch( Event& event, bool isInterleaved = false)   

This method will be called once FSR has won the competition with 
MPI and ISR to do the next branching. The candidate branching found 
in the previous step should here be carried out in full. The 
pre-branching partons should get a negative status code and new 
replacement ones added to the end of the event record. Also the 
subsystem information should be updated, and possibly also the 
beams. 

Should some problem be encountered in this procedure, e.g. if 
some not-previously-considered kinematics requirement fails, it is 
allowed to return false to indicate that no branching 
could be carried out. 

Normally the optional isInterleaved argument would 
not be of interest. It can be used to separate resonance decays, false, 
from the interleaved evolution together with MPI and ISR, true. 
More precisely, it separates calls to the timesDecPtr 
and the timesPtr instances. 
   
 


virtual bool TimeShower::rescatterPropogateRecoil( Event& event, Vec4& pNew)   

This method is only called if rescattering is switched on in the 
description of multiparton interactions. It then propagates a recoil 
from a timelike branching to internal lines that connect systems. 
As for rescatterUpdate above, this is not likely to be 
of interest to most implementors of new showers. 
   
 


int TimeShower::system()   

This method is not virtual. If a branching is constructed by the 
previous routine this tiny method should be able to return the number 
of the selected subsystem iSysSel where it occurred, 
so that the spacelike shower can be told which system to update, 
if necessary. Therefore iSysSel must be set in 
branch (or already in pTnext). 
   
 


bool TimeShower::getHasWeaklyRadiated()   

This method is not virtual. It is used to tell whether a weak gauge 
boson has been emitted in the shower evolution. 
   
 


virtual void TimeShower::list( ostream& os = cout)   

This method is not at all required. In the current implementation it 
outputs a list of all the dipole ends, with information on the 
respective dipole. The routine is not called anywhere in the public 
code, but has been inserted at various places during the 
development/debug phase. 
   
    

The SpaceShower interface
 
 
If you want to replace the SpaceShower class this would 
involve replacing the virtual methods in the following. You will find 
that much of the story reminds of TimeShower above, and 
actually some cut-and-paste of text is involved. In some respects the 
description is simpler, since there are no special cases for resonance 
decays and non-interleaved evolution. Thus there is no correspondence 
to the TimeShower::shower(...) routine. 
 


SpaceShower::SpaceShower()   

The constructor does not need to do anything. 
   
 


virtual SpaceShower::~SpaceShower()   

Also the destructor does not need to do anything. 
   
 


void SpaceShower::initPtr(Info* infoPtrIn, Settings* settingsPtrIn, ParticleData* particleDataPtrIn, Rndm* rndmPtrIn, CoupSM* coupSMPtrIn, PartonSystems* partonSystemsPtrIn, UserHooks* userHooksPtrIn, MergingHooks* mergingHooksPtrIn = 0)   

This method only imports pointers to standard facilities, 
and is not virtual. 
   
 


virtual void SpaceShower::init(BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn)   

You have to store your local copy of the pointers to these objects, 
since they have to be used during the generation, as explained above. 
This is also the place to do initialization of whatever parameters 
you plan to use, e.g. by reading in them from a user-accessible 
database like the Settings one. 
   
 


virtual bool SpaceShower::limitPTmax( Event& event, double Q2Fac = 0.,  double Q2Ren = 0.)   

The question is whether the ISR should be allowed to occur at larger 
scales than the hard process it surrounds. This is process-dependent. 
For instance, if the hard process is Z^0 production we know 
that ISR should be allowed to go right up to the kinematical limit. 
If it is a 2 → 2 QCD process the ISR should not exceed 
the scale of the hard process, since if so one would double-count. 
The SpaceShower:pTmaxMatch switch allows you to force the 
behaviour, or else to program your own logic. The current default 
implementation limits pT whenever the final state contains 
a quark (except top), gluon or photon, since then the danger of 
double-counting is there. You may replace by your own logic, or leave as is. 

The internal PYTHIA implementation also allows intermediate options, 
where emissions can go up to the kinematical limit but be dampened above 
the factorization or renormalization scale. Therefore the (square of the) 
latter two are provided as optional input parameters. 
   
 


virtual double SpaceShower::enhancePTmax()   

When the above method limits pT_max to the scale of the process, 
it may still be convenient to vary the matching slightly for the hardest 
interaction in an event, to probe the sensitivity to such details. The 
base-class implementation returns the value of the 
SpaceShower:pTmaxFudge parameter. 
   
 


virtual void SpaceShower::prepare( int iSys, Event& event, bool limitPTmaxIn = true)   

This method is called immediately after a new interaction has been 
added, and should then be used to prepare the subsystem of partons 
for subsequent evolution. In the current code this involves identifying 
the colour and charge dipole ends: the position of radiating and recoiling 
partons, maximum pT scales, and possible higher-order matrix 
elements matchings to apply. Depending on what you have in mind you may 
choose to store slightly different quantities. You have to use the 
subsystem information described above to find the positions of the two 
incoming partons (and the outgoing ones) of the system, and from there 
the scales at which they were produced. 

 The limitPTmax input agrees with the output of the 
previous method for the hardest process, and is always true for 
subsequent MPI, since there an unlimited pT for sure 
would lead to double-counting. 
   
 


virtual void SpaceShower::update( int iSys, Event& event, bool hasWeakRad = false)   

This method is called immediately after a timelike branching in the 
iSys'th subsystem. Thus the information for that system may 
be out-of-date, and to be updated. For the standard PYTHIA showers 
this routine does not need to do anything, but that may be different 
in another implementation. The optional final argument is used to signal 
if a weak radiation has occured in the timelike evolution, which might be 
used to switch off the spacelike weak emissions. 
   
 


virtual double SpaceShower::pTnext( Event& event, double pTbegAll, double pTendAll, int nRadIn = -1)   

This is the main driver routine for the downwards evolution. A new 
pT is to be selected based on the current information set up 
by the routines above, and along with that a branching parton or dipole. 
The pTbegAll scale is the maximum scale allowed, from which 
the downwards evolution should be begun (usually respecting the maximum 
scale of each individual parton). If no emission is found above 
pTendAll (and above the respective shower cutoff scales) 
then 0. should be returned and no emissions will be allowed. 
Both scales can vary from one event to the next: if a scale has 
already been selected for MPI or ISR it makes no sense to look for 
a scale smaller than that from FSR, since it would not be able to 
compete, so pTendAll is set correspondingly. As it happens, 
FSR is tried before ISR and MPI in the interleaved evolution, 
but this is an implementation detail that could well change. 

Typically the implementation of this routine would be to set 
up a loop over all possible radiating objects (dipoles, dipole ends, ...), 
for each pick its possible branching scale and then pick the one 
with largest scale as possible winner. At this stage no branching should 
actually be carried out, since MPI, ISR and FSR still have to be compared 
to assign the winner. 

The input nRadIn provides the total number of 
ISR and FSR emissions already generated in the event, and so allows a 
special treatment for the very first emission, if desired. 
   
 


virtual bool SpaceShower::branch( Event& event)   

This method will be called once ISR has won the competition with 
MPI and FSR to do the next branching. The candidate branching found 
in the previous step should here be carried out in full. The 
pre-branching partons should get a negative status code and new 
replacement ones added to the end of the event record. Also the 
subsystem information should be updated, and possibly also the 
beams. 

Should some problem be encountered in this procedure, e.g. if 
some not-previously-considered kinematics requirement fails, it is 
allowed to return false to indicate that no branching 
could be carried out. Also a complete restart of the parton-level 
description may be necessary, see doRestart() below. 
   
 


int SpaceShower::system()   

This method is not virtual. If a branching is constructed by the 
previous routine this tiny method should be able to return the number 
of the selected subsystem iSysSel where it occurred, 
so that the spacelike shower can be told which system to update, 
if necessary. Therefore iSysSel must be set in 
branch (or already in pTnext). 
   
 


bool SpaceShower::doRestart()   

This method is not virtual. If branch(...) above fails 
to construct a branching, and the conditions are such that the whole 
parton-level description should be restarted, then it should return 
true, else not. Currently only the rescattering description can give 
this kind of failures, and so the internal rescatterFail 
boolean must be set true when this should happen, and else false. 
   
 


bool SpaceShower::getHasWeaklyRadiated()   

This method is not virtual. It is used to tell whether a weak gauge 
boson has been emitted in the shower evolution. 
   
 


virtual void SpaceShower::list( ostream& os = cout)   

This method is not at all required. In the current implementation it 
outputs a list of all the dipole ends, with information on the 
respective dipole. The routine is not called anywhere in the public 
code, but has been inserted at various places during the 
development/debug phase. 
   
    


 
 
pythia8-8.1.86.orig/htmldoc/ParticleProperties.html0000644000175000017500000011370712357553536020526 0ustar  sunsun

Particle Properties




 

Particle Properties
 
 
A Particle corresponds to one entry/slot in the 
event record. Its properties therefore is a mix of ones belonging 
to a particle-as-such, like its identity code or four-momentum, 
and ones related to the event-as-a-whole, like which mother it has. 
 

 
What is stored for each particle is 

     

  • the identity code,
    •  

  • the status code,
    •  

  • two mother indices,
    •  

  • two daughter indices,
    •  

  • a colour and an anticolour index,
    •  

  • the four-momentum and mass,
    •  

  • the scale at which the particle was produced (optional),
    •  

  • the polarization/spin/helicity of the particle (optional),
    •  

  • the production vertex and proper lifetime (optional),
    •  

  • a pointer to the particle kind in the particle data table, and
    •  

  • a pointer to the event the particle belongs to.
    •  

 
From these, a number of further quantities may be derived. 
 

Basic output methods
 
 
The following member functions can be used to extract the most important 
information: 
 


int Particle::id()   

the identity of a particle, according to the PDG particle codes 
[Yao06]. 
   
 


int Particle::status()   

status code. The status code includes information on how a particle was 
produced, i.e. where in the program execution it was inserted into the 
event record, and why. It also tells whether the particle is still present 
or not. It does not tell how a particle disappeared, whether by a decay, 
a shower branching, a hadronization process, or whatever, but this is 
implicit in the status code of its daughter(s). The basic scheme is: 

     

  • status = +- (10 * i + j)
    •  

  •  +          : still remaining particles
    •  

  •  -          : decayed/branched/fragmented/... and not remaining
    •  

  •  i =  1 - 9 : stage of event generation inside PYTHIA
    •  

  •  i = 10 -19 : reserved for future expansion
    •  

  •  i >= 20    : free for add-on programs
    •  

  •  j = 1 - 9  : further specification
    •  

 
In detail, the list of used or foreseen status codes is: 

     

  • 11 - 19 : beam particles
    •  
  
       
  
    • 11 : the event as a whole
      •  
  
    • 12 : incoming beam
      •  
  
    • 13 : incoming beam-inside-beam (e.g. gamma 
           inside e)
      •  
  
    • 14 : outgoing elastically scattered
      •  
  
    • 15 : outgoing diffractively scattered
      •  
  
     

  • 21 - 29 : particles of the hardest subprocess
    •  
  
       
  
    • 21 : incoming
      •  
  
    • 22 : intermediate (intended to have preserved mass)
      •  
  
    • 23 : outgoing
      •  
  
    • 24 : outgoing, nonperturbatively kicked out in diffraction
      •  
  
     

  • 31 - 39 : particles of subsequent subprocesses
    •  
  
       
  
    • 31 : incoming
      •  
  
    • 32 : intermediate (intended to have preserved mass)
      •  
  
    • 33 : outgoing
      •  
  
    • 34 : incoming that has already scattered
      •  
  
     

  • 41 - 49 : particles produced by initial-state-showers
    •  
  
       
  
    • 41 : incoming on spacelike main branch
      •  
  
    • 42 : incoming copy of recoiler
      •  
  
    • 43 : outgoing produced by a branching
      •  
  
    • 44 : outgoing shifted by a branching
      •  
  
    • 45 : incoming rescattered parton, with changed kinematics 
           owing to ISR in the mother system (cf. status 34)
      •  
  
    • 46 : incoming copy of recoiler when this is a rescattered 
           parton (cf. status 42)
      •  
  
    • 47 : a W or Z gauge boson produced in the 
           shower evolution
      •  
  
     

  • 51 - 59 : particles produced by final-state-showers
    •  
  
       
  
    • 51 : outgoing produced by parton branching
      •  
  
    • 52 : outgoing copy of recoiler, with changed momentum
      •  
  
    • 53 : copy of recoiler when this is incoming parton, 
           with changed momentum
      •  
  
    • 54 : copy of a recoiler, when in the initial state of a 
           different system from the radiator
      •  
  
    • 55 : copy of a recoiler, when in the final state of a 
           different system from the radiator
      •  
  
    • 56 : a W or Z gauge boson produced in a 
           shower branching (special case of 51)
      •  
  
     

  • 61 - 69 : particles produced by beam-remnant treatment
    •  
  
       
  
    • 61 : incoming subprocess particle with primordial kT 
           included
      •  
  
    • 62 : outgoing subprocess particle with primordial kT 
           included
      •  
  
    • 63 : outgoing beam remnant
      •  
  
     

  • 71 - 79 : partons in preparation of hadronization process
    •  
  
       
  
    • 71 : copied partons to collect into contiguous colour singlet
      •  
  
    • 72 : copied recoiling singlet when ministring collapses to 
           one hadron and momentum has to be reshuffled
      •  
  
    • 73 : combination of very nearby partons into one
      •  
  
    • 74 : combination of two junction quarks (+ nearby gluons) 
           to a diquark
      •  
  
    • 75 : gluons split to decouple a junction-antijunction pair
      •  
  
    • 76 : partons with momentum shuffled to decouple a 
           junction-antijunction pair 
      •  
  
    • 77 : temporary opposing parton when fragmenting first two 
           strings in to junction (should disappear again)
      •  
  
    • 78 : temporary combined diquark end when fragmenting last 
           string in to junction (should disappear again)
      •  
  
     

  • 81 - 89 : primary hadrons produced by hadronization process
    •  
  
       
  
    • 81 : from ministring into one hadron
      •  
  
    • 82 : from ministring into two hadrons
      •  
  
    • 83, 84 : from normal string (the difference between the two 
           is technical, whether fragmented off from the top of the 
           string system or from the bottom, useful for debug only)
      •  
  
    • 85, 86 : primary produced hadrons in junction fragmentation of 
           the first two string legs in to the junction, 
           in order of treatment
      •  
  
     

  • 91 - 99 : particles produced in decay process, or by Bose-Einstein 
  effects
    •  
  
       
  
    • 91 : normal decay products
      •  
  
    • 92 : decay products after oscillation B0 ↔ B0bar or 
           B_s0 ↔ B_s0bar
      •  
  
    • 93, 94 : decay handled by external program, normally 
           or with oscillation
      •  
  
    • 99 : particles with momenta shifted by Bose-Einstein effects 
           (not a proper decay, but bookkept as an 1 → 1 such, 
           happening after decays of short-lived resonances but before 
           decays of longer-lived particles)
      •  
  
     

  • 101 - 109 : particles in the handling of R-hadron production and 
  decay, i.e. long-lived (or stable) particles containing a very heavy 
  flavour
    •  
  
       
  
    • 101 : when a string system contains two such long-lived particles, 
            the system is split up by the production of a new q-qbar 
            pair (bookkept as decay chains that seemingly need not conserve 
            flavour etc., but do when considered together)
      •  
  
    • 102 : partons rearranged from the long-lived particle end to prepare 
            for fragmentation from this end
      •  
  
    • 103 : intermediate "half-R-hadron" formed when a colour octet particle 
            (like the gluino) has been fragmented on one side, but not yet on 
            the other
      •  
  
    • 104 : an R-hadron
      •  
  
    • 105 : partons or particles formed together with the R-hadron during 
            the fragmentation treatment
      •  
  
    • 106 : subdivision of an R-hadron into its flavour content, with 
           momentum split accordingly, in preparation of the decay of 
           the heavy new particle, if it is unstable
      •  
  
    • 107 : two temporary leftover gluons joined into one in the formation 
          of a gluino-gluon R-hadron.
      •  
  
     

  • 111 - 199 : reserved for future expansion
    •  

  • 201 - : free to be used by anybody
    •  

 

Note: a clarification on the role of the "hardest" vs. the 
"subsequent" subprocesses, the 20'ies and 30'ies status code series, 
respectively. Most events contain exactly one "hardest" 
2 → n interaction, and then an arbitrary number of 
"subsequent" softer 2 → 2 ones generated by the 
MPI framework. In the SoftQCD:nonDiffractive event class 
also the "hardest" is generated by the MPI machinery, and can be 
arbitrarily soft, but still with 20'ies codes. Diffractive systems 
span a broad mass range, where the higher masses admit a perturbative 
description with "hard" and "subsequent" subprocesses, like for 
nondiffractive events. A double diffractive event can contain up to two 
such "hardest" interactions, one per diffractive system. A nonperturbative 
diffractive system does not contain any 2 → n subprocesses, 
but there is a kicked-out quark or gluon with status 24, combined with a 
beam remnant of one or two partons with status 63, that together define 
the mass and longitudinal axis of the diffractive system, for use in the 
subsequent hadronization. An event may also contain two 20'ies 
perturbative subcollisions if you use the 
Second Hard Process 
generation machinery.
   
 


int Particle::mother1()   

   
int Particle::mother2()   

the indices in the event record where the first and last mothers are 
stored, if any. There are six allowed combinations of mother1 
and mother2: 

     

  1. mother1 = mother2 = 0: for lines 0 - 2, where line 0 
represents the event as a whole, and 1 and 2 the two incoming 
beam particles; 
    2.  

  2. mother1 = mother2 > 0: the particle is a "carbon copy" 
of its mother, but with changed momentum as a "recoil"  effect, 
e.g. in a shower;
    3.  

  3. mother1 > 0, mother2 = 0: the "normal" mother case, where 
it is meaningful to speak of one single mother to several products, 
in a shower or decay;
    4.  

  4. mother1 < mother2, both > 0, for 
abs(status) = 81 - 86: primary hadrons produced from the 
fragmentation of a string spanning the range from mother1 
to mother2, so that all partons in this range should be 
considered mothers; and analogously for 
abs(status) = 101 - 106, the formation of R-hadrons;
    5.  

  5. mother1 < mother2, both > 0, except case 4: particles 
with two truly different mothers, in particular the particles emerging 
from a hard 2 → n interaction.
    6.  

  6. mother2 < mother1, both > 0: particles with two truly 
different mothers, notably for the special case that two nearby partons are 
joined together into a status 73 or 74 new parton, in the 
g + q → q case the q is made first mother 
to simplify flavour tracing.
    7.  

 

Note 1: in backwards evolution of initial-state showers, 
the mother may well appear below the daughter in the event record. 

Note 2: the motherList() method below returns 
a vector of all the mothers, providing a uniform representation for all 
six cases. 
   
 


int Particle::daughter1()   

   
int Particle::daughter2()   

the indices in the event record where the first and last daughters 
are stored, if any. There are five allowed combinations of 
daughter1 and daughter2: 

     

  1. daughter1 = daughter2 = 0: there are no daughters 
(so far);
    2.  

  2. daughter1 = daughter2 > 0: the particle has a 
"carbon copy" as its sole daughter, but with changed momentum 
as a "recoil" effect, e.g. in a shower;
    3.  

  3. daughter1 > 0, daughter2 = 0: each of the incoming beams 
has only (at most) one daughter, namely the initiator parton of the 
hardest interaction; further, in a 2 → 1 hard interaction, 
like q qbar → Z^0, or in a clustering of two nearby partons, 
the initial partons only have this one daughter;
    4.  

  4. daughter1 < daughter2, both > 0: the particle has 
a range of decay products from daughter1 to 
daughter2;
    5.  
  5. daughter2 < daughter1, 
both > 0: the particle has two separately stored decay products (e.g. 
in backwards evolution of initial-state showers).
    6.  

 

Note 1: in backwards evolution of initial-state showers, the 
daughters may well appear below the mother in the event record. 

Note 2: the mother-daughter relation normally is reciprocal, 
but not always. An example is hadron beams (indices 1 and 2), where each 
beam remnant and the initiator of each multiparton interaction has the 
respective beam as mother, but the beam itself only has the initiator 
of the hardest interaction as daughter. 

Note 3: the daughterList() method below 
returns a vector of all the daughters, providing a uniform representation 
for all five cases. With this method, also all the daughters of the beams 
are caught, with the initiators of the basic process given first,  while 
the rest are in no guaranteed order (since they are found by a scanning 
of the event record for particles with the beam as mother, with no further 
information). 
   
 


int Particle::col()   

   
int Particle::acol()   

the colour and anticolour tags, Les Houches Accord [Boo01] 
style (starting from tag 101 by default, see below). 

Note: in the preliminary implementation of colour sextets 
(exotic BSM particles) that exists since PYTHIA 8.150, a negative 
anticolour tag is interpreted as an additional positive colour tag, 
and vice versa. 
   
 


double Particle::px()   

   
double Particle::py()   

   
double Particle::pz()   

   
double Particle::e()   

the particle four-momentum components. 
   
 


Vec4 Particle::p()   

the particle four-momentum vector, with components as above. 
   
 


double Particle::m()   

the particle mass, stored with a minus sign (times the absolute value) 
for spacelike virtual particles. 
   
 


double Particle::scale()   

the scale at which a parton was produced, which can be used to restrict 
its radiation to lower scales in subsequent steps of the shower evolution. 
Note that scale is linear in momenta, not quadratic (i.e. Q, 
not Q^2). 
   
 


double Particle::pol()   

the polarization/spin/helicity of a particle. Currently Pythia does not 
use this variable for any internal operations, so its meaning is not 
uniquely defined. The LHA standard sets SPINUP to be the 
cosine of the angle between the spin vector and the 3-momentum of the 
decaying particle in the lab frame, i.e. restricted to be between +1 
and -1. A more convenient choice could be the same quantity in the rest 
frame of the particle production, either the hard subprocess or the 
mother particle of a decay. Unknown or unpolarized particles should 
be assigned the value 9. 
   
 


double Particle::xProd()   

   
double Particle::yProd()   

   
double Particle::zProd()   

   
double Particle::tProd()   

the production vertex coordinates, in mm or mm/c. 
   
 


Vec4 Particle::vProd()   

The production vertex four-vector. Note that the components of a 
Vec4 are named px(), py(), pz() and e() 
which of course then should be reinterpreted as above. 
   
 


double Particle::tau()   

the proper lifetime, in mm/c. It is assigned for all hadrons with 
positive nominal tau, tau_0 > 0, because it can be used 
by PYTHIA to decide whether a particle should or should not be allowed 
to decay, e.g. based on the decay vertex distance to the primary interaction 
vertex. 
   
 

Input methods
 
 
The same method names as above are also overloaded in versions that 
set values. These have an input argument of the same type as the 
respective output above, and are of type void. 
 

 
There are also a few alternative methods for input: 
 


void Particle::statusPos()   

   
void Particle::statusNeg()   

sets the status sign positive or negative, without changing the absolute 
value. 
   
 


void Particle::statusCode(int code)   

changes the absolute value but retains the original sign. 
   
 


void Particle::mothers(int mother1, int mother2)   

sets both mothers in one go. 
   
 


void Particle::daughters(int daughter1, int daughter2)   

sets both daughters in one go. 
   
 


void Particle::cols(int col, int acol)   

sets both colour and anticolour in one go. 
   
 


void Particle::p(double px, double py, double pz, double e)   

sets the four-momentum components in one go. 
   
 


void Particle::vProd(double xProd, double yProd, double zProd, double tProd)   

sets the production vertex components in one go. 
   
 

Further output methods
 
 
In addition, a number of derived quantities can easily be obtained, 
but cannot be set, such as: 
 


int Particle::idAbs()   

the absolute value of the particle identity code. 
   
 


int Particle::statusAbs()   

the absolute value of the status code. 
   
 


bool Particle::isFinal()   

true for a remaining particle, i.e. one with positive status code, 
else false. Thus, after an event has been fully generated, it 
separates the final-state particles from intermediate-stage ones. 
(If used earlier in the generation process, a particle then 
considered final may well decay later.) 
   
 


bool Particle::isRescatteredIncoming()   

true for particles with a status code -34, -45, -46 or -54, else false. 
This singles out partons that have been created in a previous 
scattering but here are bookkept as belonging to the incoming state 
of another scattering. 
   
 


bool Particle::hasVertex()   

production vertex has been set; if false then production at the origin 
is assumed. 
   
 


double Particle::m2()   

squared mass, which can be negative for spacelike partons. 
   
 


double Particle::mCalc()   

   
double Particle::m2Calc()   

(squared) mass calculated from the four-momentum; should agree 
with m(), m2() up to roundoff. Negative for spacelike 
virtualities. 
   
 


double Particle::eCalc()   

energy calculated from the mass and three-momentum; should agree 
with e() up to roundoff. For spacelike partons a 
positive-energy  solution is picked. This need not be the correct 
one, so it is recommended not to use the method in such cases. 
   
 


double Particle::pT()   

   
double Particle::pT2()   

(squared) transverse momentum. 
   
 


double Particle::mT()   

   
double Particle::mT2()   

(squared) transverse mass. If m_T^2 is negative, which can happen 
for a spacelike parton, then mT() returns 
-sqrt(-m_T^2), by analogy with the negative sign used to store 
spacelike masses. 
   
 


double Particle::pAbs()   

   
double Particle::pAbs2()   

(squared) three-momentum size. 
   
 


double Particle::eT()   

   
double Particle::eT2()   

(squared) transverse energy, 
eT = e * sin(theta) = e * pT / pAbs. 
   
 


double Particle::theta()   

   
double Particle::phi()   

polar and azimuthal angle. 
   
 


double Particle::thetaXZ()   

angle in the (p_x, p_z) plane, between -pi and 
+pi, with 0 along the +z axis 
   
 


double Particle::pPos()   

   
double Particle::pNeg()   

E +- p_z. 
   
 


double Particle::y()   

   
double Particle::eta()   

rapidity and pseudorapidity. 
   
 


double Particle::xDec()   

   
double Particle::yDec()   

   
double Particle::zDec()   

   
double Particle::tDec()   

   
Vec4 Particle::vDec()   

the decay vertex coordinates, in mm or mm/c. This decay vertex is 
calculated from the production vertex, the proper lifetime and the 
four-momentum assuming no magnetic field or other detector interference. 
It can be used to decide whether a decay should be performed or not, 
and thus is defined also for particles which PYTHIA did not let decay. 
   
 

 
Not part of the Particle class proper, but obviously tightly 
linked, are the two methods 
 


double m(const Particle& pp1, const Particle& pp2)   

   
double m2(const Particle& pp1, const Particle& pp2)   

the (squared) invariant mass of two particles. 
   
 

Properties of the particle species
 
 
Each Particle contains a pointer to the respective 
ParticleDataEntry object in the 
particle data tables. 
This gives access to properties of the particle species as such. It is 
there mainly for convenience, and should be thrown if an event is 
written to disk, to avoid any problems of object persistency. Should 
an event later be read back in, the pointer will be recreated from the 
id code if the normal input methods are used. (Use the 
Event::restorePtrs() method 
if your persistency scheme bypasses the normal methods.) This pointer is 
used by the following member functions: 
 


string Particle::name()   

the name of the particle. 
   
 


string Particle::nameWithStatus()   

as above, but for negative-status particles the name is given in 
brackets to emphasize that they are intermediaries. 
   
 


int Particle::spinType()   

2 *spin + 1 when defined, else 0. 
   
 


double Particle::charge()   

   
int Particle::chargeType()   

charge, and three times it to make an integer. 
   
 


bool Particle::isCharged()   

   
bool Particle::isNeutral()   

charge different from or equal to 0. 
   
 


int Particle::colType()   

0 for colour singlets, 1 for triplets, 
-1 for antitriplets and 2 for octets. (A preliminary implementation of 
colour sextets also exists, using 3 for sextets and -3 for antisextets.) 
   
 


double Particle::m0()   

the nominal mass of the particle, according to the data tables. 
   
 


double Particle::mWidth()   

   
double Particle::mMin()   

   
double Particle::mMax()   

the width of the particle, and the minimum and maximum allowed mass value 
for particles with a width, according to the data tables. 
   
 


double Particle::mSel()   

the mass of the particle, picked according to a Breit-Wigner 
distribution for particles with width. It is different each time called, 
and is therefore only used once per particle to set its mass 
m(). 
   
 


double Particle::constituentMass()   

will give the constituent masses for quarks and diquarks, 
else the same masses as with m0(). 
   
 


double Particle::tau0()   

the nominal lifetime tau_0 > 0, in mm/c, of the particle species. 
It is used to assign the actual lifetime tau. 
   
 


bool Particle::mayDecay()   

flag whether particle has been declared unstable or not, offering 
the main user switch to select which particle species to decay. 
   
 


bool Particle::canDecay()   

flag whether decay modes have been declared for a particle, 
so that it could be decayed, should that be requested. 
   
 


bool Particle::doExternalDecay()   

particles that are decayed by an external program. 
   
 


bool Particle::isResonance()   

particles where the decay is to be treated as part of the hard process, 
typically with nominal mass above 20 GeV (W^+-, Z^0, t, ...). 
   
 


bool Particle::isVisible()   

particles with strong or electric charge, or composed of ones having it, 
which thereby should be considered visible in a normal detector. 
   
 


bool Particle::isLepton()   

true for a lepton or an antilepton (including neutrinos). 
   
 


bool Particle::isQuark()   

true for a quark or an antiquark. 
   
 


bool Particle::isGluon()   

true for a gluon. 
   
 


bool Particle::isDiquark()   

true for a diquark or an antidiquark. 
   
 


bool Particle::isParton()   

true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
   
 


bool Particle::isHadron()   

true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
   
 


ParticleDataEntry& particleDataEntry()   

a reference to the ParticleDataEntry. 
   
 

Methods that may access the event the particle belongs to
 
 
A particle can be created on its own. When inserted into an event record, 
it obtains a pointer to that event-as-a-whole. It is then possible to 
use methods that do not make sense for a particle in isolation. These 
methods are listed below. Whenever the pointer to the event is not 
defined, these will return an appropriate "null" value, this being -1 
for an integer, false for a bool, and empty for a vector, unless otherwise 
specified. 
 


void Particle::index()   

the index of the particle itself in the event record. 
   
 


int Particle::statusHepMC()   

returns the status code according to the HepMC conventions agreed in 
February 2009. This convention does not preserve the full information 
provided by the internal PYTHIA status code, as obtained by 
Particle::status(), but comes reasonably close. 
The allowed output values are: 

     

  • 0 : an empty entry, with no meaningful information and therefore 
to be skipped unconditionally;
    •  

  • 1 : a final-state particle, i.e. a particle that is not decayed 
further by the generator (may also include unstable particles that 
are to be decayed later, as part of the detector simulation);
    •  

  • 2 : a decayed Standard Model hadron or tau or mu lepton, excepting 
virtual intermediate states thereof (i.e. the particle must undergo 
a normal decay, not e.g. a shower branching);
    •  

  • 3 : a documentation entry (not used in PYTHIA);
    •  

  • 4 : an incoming beam particle;
    •  

  • 11 - 200 : an intermediate (decayed/branched/...) particle that does 
not fulfill the criteria of status code 2, with a generator-dependent 
classification of its nature; in PYTHIA the absolute value of the normal 
status code is used.
    •  

 

Note: for a particle without a properly set pointer to its 
event, codes 1 and 4 can still be inferred from its status code, while 
everythg else is assigned code 0. 
   
 


int Particle::iTopCopy()   

   
int Particle::iBotCopy()   

are used to trace carbon copies of the particle up to its top mother 
or down to its bottom daughter. If there are no such carbon copies, 
the index of the particle itself will be returned. A carbon copy is 
when the "same" particle appears several times in the event record, but 
with changed momentum owing to recoil effects. 
   
 


int Particle::iTopCopyId()   

   
int Particle::iBotCopyId()   

also trace top mother and bottom daughter, but do not require carbon 
copies, only that one can find an unbroken chain, of mothers or daughters, 
with the same flavour id code. When it encounters ambiguities, 
say a g → g g branching or a u u → u u hard 
scattering, it will stop the tracing and return the current position. 
It can be confused by nontrivial flavour changes, e.g. a hard process 
u d → d u by W^+- exchange will give the wrong 
answer. These methods therefore are of limited use for common particles, 
in particular for the gluon, but should work well for "rare" particles. 
   
 


vector<int> Particle::sisterList(bool traceTopBot = false)   

returns a vector of all the sister indices of the particle, i.e. all the 
daughters of the first mother, except the particle itself. If the argument 
traceTopBot = true the particle is first traced up with 
iTopCopy() before its mother is found, and then all the 
particles in the daughterList() of this mother are traced down 
with iBotCopy(), omitting the original particle itself. 
The method is not meaningful for the 0 entry, with status code -11, and 
there returns an empty list. 
   
 


bool Particle::isAncestor(int iAncestor)   

traces the particle upwards through mother, grandmother, and so on, until 
either iAncestor is found or the top of the record is reached. 
Normally one unique mother is required, as is the case e.g. in decay chains 
or in parton showers, so that e.g. the tracing through a hard scattering 
would not work. For hadronization, first-rank hadrons are identified with 
the respective string endpoint quark, which may be useful e.g. for 
b physics, while higher-rank hadrons give false. 
Currently also ministrings that collapsed to one single hadron and 
junction topologies give false. 
   
 


bool Particle::undoDecay()   

removes the decay chain of the particle and thus restores 
it to its undecayed state. It is only intended for "normal" particle 
decay chains, and will return false in other cases, notably if 
the particle is coloured. The procedure would not work if non-local 
momentum shifts have been performed, such as with a Bose-Einstein 
shift procedure (or for a dipole shower recoiler). As the decay products 
are erased from the event record, mother and daughter indices are 
updated to retain a correct history for the remaining particles. 
   
 

Methods that perform operations
 
 
There are some further methods, some of them inherited from 
Vec4, to modify the properties of a particle. 
They are of little interest to the normal user. 
 


void Particle::rescale3(double fac)   

multiply the three-momentum components by fac. 
   
 


void Particle::rescale4(double fac)   

multiply the four-momentum components by fac. 
   
 


void Particle::rescale5(double fac)   

multiply the four-momentum components and the mass by fac. 
   
 


void Particle::rot(double theta, double phi)   

rotate three-momentum and production vertex by these polar and azimuthal 
angles. 
   
 


void Particle::bst(double betaX, double betaY, double betaZ)   

boost four-momentum and production vertex by this three-vector. 
   
 


void Particle::bst(double betaX, double betaY, double betaZ, double gamma)   

as above, but also input the gamma value, to reduce roundoff errors. 
   
 


void Particle::bst(const Vec4& pBst)   

boost four-momentum and production vertex by 
beta = (px/e, py/e, pz/e). 
   
 


void Particle::bst(const Vec4& pBst, double mBst)   

as above, but also use gamma> = e/m to reduce roundoff errors. 
   
 


void Particle::bstback(const Vec4& pBst)   

   
void Particle::bstback(const Vec4& pBst, double mBst)   

as above, but with sign of boost flipped. 
   
 


void Particle::rotbst(const RotBstMatrix& M)   

combined rotation and boost of the four-momentum and production vertex. 
   
 


void Particle::offsetHistory( int minMother, int addMother, int minDaughter, int addDaughter))   

add a positive offset to the mother and daughter indices, i.e. 
if mother1 is above minMother then 
addMother is added to it, same with mother2, 
if daughter1 is above minDaughter then 
addDaughter is added to it, same with daughter2. 
   
 


void Particle::offsetCol( int addCol)   

add a positive offset to colour indices, i.e. if col is 
positive then addCol is added to it, same with acol. 
   
 

Constructors and operators
 
 
Normally a user would not need to create new particles. However, if 
necessary, the following constructors and methods may be of interest. 
 


Particle::Particle()   

constructs an empty particle, i.e. where all properties have been set 0 
or equivalent. 
   
 


Particle::Particle(int id, int status = 0, int mother1 = 0, int mother2 = 0, int daughter1 = 0, int daughter2 = 0, int col = 0, int acol = 0, double px = 0., double py = 0., double pz = 0., double e = 0., double m = 0., double scale = 0., double pol = 9.)   

constructs a particle with the input properties provided, and non-provided 
ones set 0 (9 for pol). 
   
 


Particle::Particle(int id, int status, int mother1, int mother2, int daughter1, int daughter2, int col, int acol, Vec4 p, double m = 0., double scale = 0., double pol = 9.)   

constructs a particle with the input properties provided, and non-provided 
ones set 0 (9 for pol). 
   
 


Particle::Particle(const Particle& pt)   

constructs an particle that is a copy of the input one. 
   
 


Particle& Particle::operator=(const Particle& pt)   

copies the input particle. 
   
 


void Particle::setEvtPtr(Event* evtPtr)   

sets the pointer to the Event object the particle 
belongs to. This method is automatically called when a particle 
is appended to an event record. Also calls setPDEPtr below. 
   
 


void Particle::setPDEPtr(ParticleDataEntry* pdePtr = 0)   

sets the pointer to the ParticleDataEntry object of the 
particle, based on its current id code. If the particle 
belongs to an event there is no need to provide the input argument. 
As explained above, a valid ParticleDataEntry pointer 
is needed for the methods that provide information generic to the 
particle species. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/ExtraDimensionalProcesses.html0000644000175000017500000007374412357553535022050 0ustar  sunsun

Extra-Dimensional Processes




 

Extra-Dimensional Processes
 
 
Scenarios with extra dimensions (ED) allow a multitude of processes. 
Currently three different categories of processes are implemented. 
The first involves the production of excited Kaluza Klein states 
within so-called Randall-Sundrum (RS) scenarios, the second is 
related to resonance production in TeV-1 sized extra dimensions 
and the third relates to phenomena from large extra dimensions (LED). 
Due to the close relation between the LED model and a so-called 
unparticle model, similar unparticle processes are also kept in this 
section. 
 

Randall-Sundrum Resonances, production processes
 
 
The graviton (G*) and gluon (KKgluon*) resonance states are assigned 
PDG code 5100039 and 5100021 respectively. The G* processes are 
described in [Bij01] and the KKgluon* process in [Ask11]. 
Decays into fermion and boson pairs are handled with the correct 
angular distributions, while subsequent decays are handled 
isotropically. 
 

 
There are two lowest-order processes that together normally 
should be sufficient for a simulation of G^* production. 
 

flag   ExtraDimensionsG*:all   
 (default = off)

Common switch for the group of lowest-order G^* production 
processes, i.e. the two ones below. 
   
 

flag   ExtraDimensionsG*:gg2G*   
 (default = off)

Scatterings g g → G^*. 
Code 5001. 
   
 

flag   ExtraDimensionsG*:ffbar2G*   
 (default = off)

Scatterings f fbar → G^*. 
Code 5002. 
   
 

 
In addition there are three first-order processes included. These 
are of less interest, but can be used for dedicated studies of the 
high-pT tail of G^* production. As usual, it would 
be double counting to include the lowest-order and first-order 
processes simultaneously. Therefore the latter ones are not included 
with the ExtraDimensionsG*:all = on option. In this set 
of processes all decay angles are assumed isotropic. 
 

flag   ExtraDimensionsG*:gg2G*g   
 (default = off)

Scatterings g g → G^* g. 
Code 5003. 
   
 

flag   ExtraDimensionsG*:qg2G*q   
 (default = off)

Scatterings q g → G^* q. 
Code 5004. 
   
 

flag   ExtraDimensionsG*:qqbar2G*g   
 (default = off)

Scatterings q qbar → G^* g. 
Code 5005. 
   
 

 
There is also one process for the production of a gluon resonance. 
 

flag   ExtraDimensionsG*:qqbar2KKgluon*   
 (default = off)

Scatterings q qbar → g^*/KKgluon^*. 
Code 5006. 
   
 

Randall-Sundrum Resonances, parameters
 
 
In the above scenario the main free parameters are the masses, which 
are set as usual. In addition there are the following coupling parameters. 
The coupling kappaMG follows the conventions in [Bij01], 
where as the flavour dependent couplings follow the conventions used in 
[Dav01]. 
 

flag   ExtraDimensionsG*:SMinBulk   
 (default = off)

Parameter to choose between the two scenarios: 
off, SM on the TeV brane (common kappaMG coupling); 
on, SM in the ED bulk (flavour dependent couplings). 
This parameter is only relevant for the lowest-order graviton 
(G*) processes, where as the first-order processes 
corresponds to the off scenario. 
   
 

flag   ExtraDimensionsG*:VLVL   
 (default = on)

Parameter to specify Z/W coupling scenario: 
off, usual Z/W boson couplings; 
on, coupling only to longitudinal Z/W bosons. 
In both cases the GZZ and GWW values are used 
and this parameter is only relevant when SMinBulk = on. 
The formulas for longitudinal bosons should be appropriate up to 
O(m_V/E_V) corrections. 
   
 

parm   ExtraDimensionsG*:kappaMG   
 (default = 0.054; minimum = 0.0)

dimensionless coupling, which enters quadratically in all on-shell
partial widths of the G^*. Is 
kappa m_G* = sqrt(2) x_1 k / Mbar_Pl, 
where x_1 = 3.83 is the first zero of the J_1 Bessel 
function and Mbar_Pl is the modified Planck mass. 
In width and cross section calculations, kappa is fixed by 
the on-shell G^* mass and kappaMG, i.e.
kappaMG scales with the off-shell G^* mass.
   
 

parm   ExtraDimensionsG*:Gll   
 (default = 0.0; minimum = 0.0)

Coupling between graviton and leptons. 
   
 

parm   ExtraDimensionsG*:Gqq   
 (default = 0.0; minimum = 0.0)

Coupling between graviton and light quarks. 
   
 

parm   ExtraDimensionsG*:Gbb   
 (default = 0.0; minimum = 0.0)

Coupling between graviton and bottom quark. 
   
 

parm   ExtraDimensionsG*:Gtt   
 (default = 0.001; minimum = 0.0)

Coupling between graviton and top quark. 
   
 

parm   ExtraDimensionsG*:Ggg   
 (default = 0.000013; minimum = 0.0)

Coupling between graviton and gluon. 
   
 

parm   ExtraDimensionsG*:Ggmgm   
 (default = 0.000013; minimum = 0.0)

Coupling between graviton and gamma. 
   
 

parm   ExtraDimensionsG*:GZZ   
 (default = 0.001; minimum = 0.0)

Coupling between graviton and Z boson. 
   
 

parm   ExtraDimensionsG*:GWW   
 (default = 0.001; minimum = 0.0)

Coupling between graviton and W boson. 
   
 

parm   ExtraDimensionsG*:Ghh   
 (default = 0.001; minimum = 0.0)

Coupling between graviton and Higgs bosons. 
   
 

parm   ExtraDimensionsG*:KKgqR   
 (default = -0.2)

Coupling between KK-gluon and a right-handed light quark. 
   
 

parm   ExtraDimensionsG*:KKgqL   
 (default = -0.2)

Coupling between KK-gluon and a left-handed light quark. 
   
 

parm   ExtraDimensionsG*:KKgbR   
 (default = -0.2)

Coupling between KK-gluon and a right-handed bottom quark. 
   
 

parm   ExtraDimensionsG*:KKgbL   
 (default = 1.0)

Coupling between KK-gluon and a left-handed bottom quark. 
   
 

parm   ExtraDimensionsG*:KKgtR   
 (default = 4.0)

Coupling between KK-gluon and a right-handed top quark. 
   
 

parm   ExtraDimensionsG*:KKgtL   
 (default = 1.0)

Coupling between KK-gluon and a left-handed top quark. 
   
 

mode   ExtraDimensionsG*:KKintMode   
 (default = 0; minimum = 0; maximum = 2)

Choice of full g^*/KK-gluon^* structure or not in relevant 
processes. 

option  0 : full g^*/KK-gluon^* structure, with 
interference included.   

option  1 : only pure gluon_{SM} contribution.   

option  2 : only pure gluon_{KK} contribution.   
   
 

TeV^-1 Sized Extra Dimension, production processes
 
 
This section contains a processes involving the production 
of electroweak KK gauge bosons, i.e. gamma_{KK}/Z_{KK}, 
in one TeV^-1 sized extra dimension. The process is described 
in [Bel10] and allows for individual final states to be 
specified. 
 

flag   ExtraDimensionsTEV:ffbar2ddbar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → d dbar , 
Code 5061. 
   
 

flag   ExtraDimensionsTEV:ffbar2uubar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → u ubar , 
Code 5062. 
   
 

flag   ExtraDimensionsTEV:ffbar2ssbar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → s sbar , 
Code 5063. 
   
 

flag   ExtraDimensionsTEV:ffbar2ccbar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → c cbar , 
Code 5064. 
   
 

flag   ExtraDimensionsTEV:ffbar2bbbar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → b bbar , 
Code 5065. 
   
 

flag   ExtraDimensionsTEV:ffbar2ttbar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → t tbar , 
Code 5066. 
   
 

flag   ExtraDimensionsTEV:ffbar2e+e-   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → e+ e- , 
Code 5071. 
   
 

flag   ExtraDimensionsTEV:ffbar2nuenuebar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → nue nuebar , 
Code 5072. 
   
 

flag   ExtraDimensionsTEV:ffbar2mu+mu-   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → mu+ mu- , 
Code 5073. 
   
 

flag   ExtraDimensionsTEV:ffbar2numunumubar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → numu numubar , 
Code 5074. 
   
 

flag   ExtraDimensionsTEV:ffbar2tau+tau-   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → tau+ tau- , 
Code 5075. 
   
 

flag   ExtraDimensionsTEV:ffbar2nutaunutaubar   
 (default = off)

Scatterings f fbar → (gamma_{KK}/Z_{KK}) → nutau nutaubar , 
Code 5076. 
   
 

TeV^-1 Sized Extra Dimension, parameters
 
 
Irrespective of the parameter options used, the particle produced, 
gamma_{KK}/Z_{KK}, will always be assigned code 5000023. 
 

mode   ExtraDimensionsTEV:gmZmode   
 (default = 3; minimum = 0; maximum = 5)

Choice of full gamma_{KK}/Z_{KK} structure or not in relevant 
processes. 

option  0 : full gamma_{SM}/Z_{SM} structure, with 
interference included.   

option  1 : only pure gamma_{SM} contribution.   

option  2 : only pure Z_{SM} contribution.   

option  3 : full gamma_{KK}/Z_{KK} structure, with 
interference included.   

option  4 : only pure gamma_{KK} contribution, with 
SM interference included.   

option  5 : only pure Z_{KK} contribution, with SM 
interference included.   
   
 

parm   ExtraDimensionsTEV:nMax   
 (default = 10; minimum = 1; maximum = 100)

The number of included KK excitations. 
   
 

parm   ExtraDimensionsTEV:mStar   
 (default = 4000.0; minimum = 1000.0)

The KK mass m^*, given by the inverse of the single extra 
dimension radius. 
   
 

Large Extra Dimensions, production processes
 
 
The LED graviton, where the KK-modes normally are summed and do not 
give rise to phenomena individually, is assigned PDG code 5000039. 
The graviton emission and virtual graviton exchange processes use 
the same implementation as the corresponding unparticle processes, 
which are all described in [Ask10]. It is also possible to 
generate monojet events from scalar graviton emission as described 
in [Azu05], by turning on the option GravScalar. 
 

 
Note: As discussed in [Ask09], for the graviton or 
unparticle emission processes the underlying Breit-Wigner mass 
distribution should be matched to the graviton mass spectrum in order 
to achieve an optimal MC efficiency. 
 

 
The following lowest order graviton emission processes are available. 
 

flag   ExtraDimensionsLED:monojet   
 (default = off)

Common switch for the group of lowest-order G jet emission 
processes, i.e. the three ones below. 
   
 

flag   ExtraDimensionsLED:gg2Gg   
 (default = off)

Scatterings g g → G g. 
Code 5021. 
   
 

flag   ExtraDimensionsLED:qg2Gq   
 (default = off)

Scatterings q g → G q. 
Code 5022. 
   
 

flag   ExtraDimensionsLED:qqbar2Gg   
 (default = off)

Scatterings q qbar → G g. 
Code 5023. 
   
 

flag   ExtraDimensionsLED:ffbar2GZ   
 (default = off)

Scatterings f fbar → G Z. 
Code 5024. 
   
 

flag   ExtraDimensionsLED:ffbar2Ggamma   
 (default = off)

Scatterings f fbar → G gamma. This process corresponds 
to the photon limit of the G Z process, as described in 
[Ask09]. 
Code 5025. 
   
 

 
The following LED processes with virtual graviton exchange are 
available. 
 

flag   ExtraDimensionsLED:ffbar2gammagamma   
 (default = off)

Scatterings f fbar → (LED G*) → gamma gamma. If the 
graviton contribution is zero, the results corresponds to the 
SM contribution, i.e. equivalent to 
PromptPhoton:ffbar2gammagamma. 
Code 5026. 
   
 

flag   ExtraDimensionsLED:gg2gammagamma   
 (default = off)

Scatterings g g → (LED G*) → gamma gamma. 
Code 5027. 
   
 

flag   ExtraDimensionsLED:ffbar2llbar   
 (default = off)

Scatterings f fbar → (LED G*) → l l , where 
l is a charged lepton. If the graviton contribution 
is zero, the results corresponds to the SM contribution, i.e. 
similar to WeakSingleBoson:ffbar2gmZ. Does not 
include t-channel amplitude relevant for e^+e^- to e^+e^- 
and no K-factor is used. 
Code 5028. 
   
 

flag   ExtraDimensionsLED:gg2llbar   
 (default = off)

Scatterings g g → (LED G*) → l l. 
Code 5029. 
   
 

 
Dijet production including graviton exchange is also available, using 
the same effective theory approach as the LED G exchange processes 
above or including more detailed amplitudes in accordance with 
[Fra11]. In case of the latter, the value of LambdaT 
is used as the value of the cut-off scale Lambda. For this 
reason the dijet processes only relates to the LED model and no 
unparticle versions are available. The processes are grouped together 
like their HardQCD equivalents and should therefore converge 
to the same results in the limit of an insignificant graviton 
contribution. 
 

 
Warning: These LED dijets processes are still being validated. 
 

flag   ExtraDimensionsLED:dijets   
 (default = off)

Common switch for the group of lowest-order jet jet 
production processes with graviton exchange, i.e. the six ones 
below. 
   
 

flag   ExtraDimensionsLED:gg2DJgg   
 (default = off)

Scatterings g g → (LED G*) → g g. 
Code 5030. 
   
 

flag   ExtraDimensionsLED:gg2DJqqbar   
 (default = off)

Scatterings g g → (LED G*) → q qbar. Number of 
outgoing flavours specified by nQuarkNew parameter 
below. 
Code 5031. 
   
 

flag   ExtraDimensionsLED:qg2DJqg   
 (default = off)

Scatterings q g → (LED G*) → q g and 
qbar g → (LED G*) → qbar g. 
Code 5032. 
   
 

flag   ExtraDimensionsLED:qq2DJqq   
 (default = off)

Scatterings q q(bar)' → (LED G*) → q q(bar)'. 
Including q and qbar of same or different 
flavours, but the outgoing flavours equals the incoming ones. 
Code 5033. 
   
 

flag   ExtraDimensionsLED:qqbar2DJgg   
 (default = off)

Scatterings q qbar → (LED G*) → g g. 
Code 5034. 
   
 

flag   ExtraDimensionsLED:qqbar2DJqqbarNew   
 (default = off)

Scatterings q qbar → (LED G*) → q' qbar'. Number of 
outgoing flavours specified by nQuarkNew parameter below. 
Code 5035. 
   
 

Large Extra Dimensions, parameters
 
 

flag   ExtraDimensionsLED:GravScalar   
 (default = off)

Allow the monojet processes to produce scalar graviton emission 
instead of the default tensor one. The scalar option is according 
to the processes described in [Azu05] and includes two 
coupling constants below. 
   
 

mode   ExtraDimensionsLED:n   
 (default = 2; minimum = 1)

Number of extra dimensions. 
   
 

parm   ExtraDimensionsLED:MD   
 (default = 2000.; minimum = 100.0)

Fundamental scale of gravity in D = 4 + n dimensions. 
   
 

parm   ExtraDimensionsLED:LambdaT   
 (default = 2000.; minimum = 100.0)

Ultraviolet cutoff parameter for the virtual graviton exchange processes. 
   
 

mode   ExtraDimensionsLED:NegInt   
 (default = 0; minimum = 0; maximum = 1)

Allows to change sign of the interference terms in the graviton exchange 
processes, common in connection to using the Hewett convention 
[Hew99]. 

option  0 : 1   

option  1 : -1   
   
 

mode   ExtraDimensionsLED:CutOffMode   
 (default = 0; minimum = 0; maximum = 3)

Options for when the hard scale of the process (e.g. sHat) 
approaches or exceed the scale of validity of the low energy effective 
theory (e.g. M_D). Note: Option 1 only concerns the 
graviton emission processes and the form factor is currently not available 
for the scalar graviton processes. 

option  0 : Do nothing, i.e. all values of sHat contribute. 
   

option  1 : Truncate contributing sHat region 
([Ask09]).   

option  2 : Form factor, using mu = renormScale2 .   

option  3 : Form factor, using mu = E_jet.   
   
 

parm   ExtraDimensionsLED:t   
 (default = 1.; minimum = 0.001)

Form factor parameter. 
   
 

parm   ExtraDimensionsLED:g   
 (default = 1.0; minimum = 0.0)

Coupling related to scalar graviton emission. 
   
 

parm   ExtraDimensionsLED:c   
 (default = 1.0; minimum = 0.0)

Coupling related to scalar graviton emission. 
   
 

mode   ExtraDimensionsLED:nQuarkNew   
 (default = 3; minimum = 0; maximum = 5)

Number of allowed outgoing new quark flavours in the above 
q qbar → (LED G*) → q' qbar' and 
g g → (LED G*) → q' qbar' 
processes. Similar to HardQCD:nQuarkNew for the QCD processes. 
   
 

mode   ExtraDimensionsLED:opMode   
 (default = 0; minimum = 0; maximum = 1)

Options to specify S function for LED dijet amplitudes. 

option  0 : Use detailed amplitude, as described in [Fra11]. 
   

option  1 : Use conventional LambdaT parametrization, 
like the other LED processes.   
   
 

Unparticles, production processes
 
 
As mentioned above, the similar unparticle and graviton processes 
share the same implementations. The unparticle processes, however, 
only use the dedicated unparticle parameters below. The unparticle 
is also assigned the PDG code 5000039 and is therefore called 
Graviton in the event record. The graviton and unparticle 
emission as well as virtual graviton and unparticle exchange processes 
are described in [Ask10]. 
 

 
Note: As discussed in [Ask09], for the graviton or 
unparticle emission processes the underlying Breit-Wigner mass 
distribution should be matched to the graviton mass spectrum in order 
to achieve an optimal MC efficiency. 
 

 
The following unparticle emission processes are available. 
 

flag   ExtraDimensionsUnpart:monojet   
 (default = off)

Common switch for the group of lowest-order U jet emission 
processes, i.e. the three ones below. 
   
 

flag   ExtraDimensionsUnpart:gg2Ug   
 (default = off)

Scatterings g g → U g. 
Code 5045. 
   
 

flag   ExtraDimensionsUnpart:qg2Uq   
 (default = off)

Scatterings q g → U q. 
Code 5046. 
   
 

flag   ExtraDimensionsUnpart:qqbar2Ug   
 (default = off)

Scatterings q qbar → U g. 
Code 5047. 
   
 

flag   ExtraDimensionsUnpart:ffbar2UZ   
 (default = off)

Scatterings f fbar → U Z. 
Code 5041. 
   
 

flag   ExtraDimensionsUnpart:ffbar2Ugamma   
 (default = off)

Scatterings f fbar → U gamma. This process corresponds 
to the photon limit of the U Z process, as described in 
[Ask09]. 
Code 5042. 
   
 

 
The following processes with virtual unparticle exchange are available. 
 

flag   ExtraDimensionsUnpart:ffbar2gammagamma   
 (default = off)

Scatterings f fbar → (U*) → gamma gamma. If the unparticle 
contribution is zero in the spin-2 case, the results corresponds to 
the SM contribution, i.e. equivalent to 
PromptPhoton:ffbar2gammagamma. 
Code 5043. 
   
 

flag   ExtraDimensionsUnpart:gg2gammagamma   
 (default = off)

Scatterings g g → (U*) → gamma gamma. 
Code 5044. 
   
 

flag   ExtraDimensionsUnpart:ffbar2llbar   
 (default = off)

Scatterings f fbar → (U*) → l lbar , where 
l is a charged lepton. If the unparticle contribution 
is zero, the results corresponds to the SM contribution, i.e. 
similar to WeakSingleBoson:ffbar2gmZ. Does not 
include t-channel amplitude relevant for e^+e^- to e^+e^- 
and no K-factor is used. 
Code 5048. 
   
 

flag   ExtraDimensionsUnpart:gg2llbar   
 (default = off)

Scatterings g g → (U*) → l lbar. 
Code 5049. 
   
 

Unparticles, parameters
 
 

mode   ExtraDimensionsUnpart:spinU   
 (default = 2; minimum = 0; maximum = 2)

Unparticle spin. 
   
 

parm   ExtraDimensionsUnpart:dU   
 (default = 1.4; minimum = 1.0)

Scale dimension parameter. 
   
 

parm   ExtraDimensionsUnpart:LambdaU   
 (default = 2000.; minimum = 100.0)

Unparticle renormalization scale. 
   
 

parm   ExtraDimensionsUnpart:lambda   
 (default = 1.0; minimum = 0.0)

Unparticle coupling to the SM fields. 
   
 

parm   ExtraDimensionsUnpart:ratio   
 (default = 1.0; minimum = 1.0; maximum = 1.0)

Ratio, lambda'/lambda, between the two possible coupling constants 
of the spin-2 ME. Warning: A ratio value different from one 
give rise to an IR divergence which makes the event generation very slow, so 
this values is fixed to ratio = 1 for the moment. 
   
 

mode   ExtraDimensionsUnpart:CutOffMode   
 (default = 0; minimum = 0; maximum = 1)

Options for when the hard scale of the process (e.g. sHat) 
approaches or exceed the scale of validity of the low energy effective 
theory (Lambda_U). This mode only concerns the unparticle 
emission processes. 

option  0 : Do nothing, i.e. all values of sHat 
contribute.   

option  1 : Truncate contributing sHat region 
([Ask09]).   
   
 

mode   ExtraDimensionsUnpart:gXX   
 (default = 0; minimum = 0; maximum = 2)

Chiral unparticle couplings, gXX = gLL = gRR. Only relevant 
for lepton production from spin-1 unparticle exchange. 

option  0 : 1   

option  1 : -1   

option  2 : 0   
   
 

mode   ExtraDimensionsUnpart:gXY   
 (default = 0; minimum = 0; maximum = 2)

Chiral unparticle couplings, gXY = gLR = gRL. Only relevant 
for lepton production from spin-1 unparticle exchange. 

option  0 : 1   

option  1 : -1   

option  2 : 0   
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/LesHouchesAccord.html0000644000175000017500000012276412357553536020067 0ustar  sunsun

Les Houches Accord




 

Les Houches Accord
 
 
The Les Houches Accord (LHA) for user processes [Boo01] is the 
standard way to input parton-level information from a 
matrix-elements-based generator into PYTHIA. The conventions for 
which information should be stored has been defined in a Fortran context, 
as two commonblocks. Here a C++ equivalent is defined, as a single class. 
The most common application is to read input from a Les Houches Event File 
(LHEF) [Alw06], but it is also possible to have a runtime 
interface to another program.


 
A "no-beams" extension, currently not part of the standard, has been 
implemented. In this case only one part of a complete event is studied, 
and so no meaningful beam information can be set. The prime example is
to study the decay properties of a resonance, where a parton-level decay
chain is provided as input, and then showers and nadronization should be
added. Another example would be where a given partonic configuration 
would be hadronized, without any previous showers. See further below and 
in the Hadron-Level Standalone 
description.
 

 
The LHAup class is a base class, containing reading and 
printout functions, plus two pure virtual functions, one to set 
initialization information and one to set information on each new event. 
Derived classes have to provide these two virtual functions to do 
the actual work. The existing derived classes are for reading information 
from a Les Houches Event File, from the respective Fortran 
commonblocks, or from PYTHIA 8 itself. 
 

 
You are free to write your own derived classes, using the rules and 
methods to be described below. Normally, pointers to objects of such 
derived classes should be handed in with the 
Pythia::init( LHAup*) 
method. However, with the LHEF format a filename can replace the 
pointer, see further below. 
 

 
Let us now describe the methods at your disposal to do the job. 
 


LHAup::LHAup( int strategy = 3)   

the base class constructor takes the choice of mixing/weighting 
strategy as optional input argument, and calls setStrategy, 
see below. It also reserves some space for processes and particles. 
   
 


virtual LHAup::~LHAup()   

the destructor does not need to do anything. 
   
 


void LHAup::setPtr(Info* infoPtr)   

this method only sets the pointer that allows some information 
to be accessed, and is automatically called by 
Pythia::init(...). 
   
 

Initialization
 
 
The LHAup class stores information equivalent to the 
/HEPRUP/ commonblock, as required to initialize the event 
generation chain. The main difference is that the vector container 
now allows a flexible number of subprocesses to be defined. For the 
rest, names have been modified, since the 6-character-limit does not 
apply, and variables have been regrouped for clarity, but nothing 
fundamental is changed. 
 


virtual bool LHAup::setInit()   

this pure virtual method has to be implemented in the derived class, 
to set relevant information when called. It should return false if it 
fails to set the info. In the no-beams extension this method need not
do anything, since by default strategy 3 is chosen and the rest is set
vanishing, but the method must exist.
   
 

 
Inside setInit(), such information can be set by the following 
methods: 


void LHAup::setBeamA( int identity, double energy, int pdfGroup = 0, int pdfSet = 0)   

   
void LHAup::setBeamB( int identity, double energy, int pdfGroup = 0, int pdfSet = 0)   

sets the properties of the first and second incoming beam, respectively 
(cf. the Fortran IDBMUP(1), EBMUP(i), PDFGUP(i), PDFSUP(i), 
with i 1 or 2). These numbers can be used to tell which PDF 
sets were used when the hard process was generated, while the normal 
PDF Selection is used for the further 
event generation in PYTHIA. 
   
 


void LHAup::setStrategy( int strategy)   

sets the event weighting and cross section strategy. The default, 
provided in the class constructor, is 3, which is the natural value 
e.g. for an LHEF. 

argument strategy   :  
chosen strategy (cf. IDWTUP; see [Sjo06] 
section 9.9.1 for extensive comments). 

argumentoption  1 :  events come with non-negative weight, given in units 
of pb, with an average that converges towards the cross section of the 
process. PYTHIA is in charge of the event mixing, i.e. for each new 
try decides which process should be generated, and then decides whether 
is should be kept, based on a comparison with xMax. 
Accepted events therefore have unit weight.   

argumentoption  -1 :  as option 1, except that cross sections can now be 
negative and events after unweighting have weight +-1. You can use 
Info::weight() 
to find the weight of the current event. A correct event mixing requires 
that a process that can take both signs should be split in two, one limited 
to positive or zero and the other to negative or zero values, with 
xMax chosen appropriately for the two.   

argumentoption  2 :  events come with non-negative weight, in unspecified 
units, but such that xMax can be used to unweight the events 
to unit weight. Again PYTHIA is in charge of the event mixing. 
The total cross section of a process is stored in 
xSec.   

argumentoption  -2 :  as option 2, except that cross sections can now be 
negative and events after unweighting have weight +-1. As for option -1 
processes with indeterminate sign should be split in two.   

argumentoption  3 :  events come with unit weight, and are thus accepted 
as is. The total cross section of the process is stored in 
xSec.   

argumentoption  -3 :  as option 3, except that events now come with weight 
+-1. Unlike options -1 and -2 processes with indeterminate sign need not be 
split in two, unless you intend to mix with internal PYTHIA processes 
(see below).   

argumentoption  4 :  events come with non-negative weight, given in units 
of pb, with an average that converges towards the cross section of the 
process, like for option 1. No attempt is made to unweight the events, 
however, but all are generated in full, and retain their original weight. 
For consistency with normal PYTHIA units, the weight stored in 
Info::weight() has been converted to mb, however. 
   

argumentoption  -4 :  as option 4, except that events now can come 
either with positive or negative weights.   

Note 1: if several processes have already been mixed and 
stored in a common event file, either LHEF or some private format, it 
would be problematical to read back events in a different order. Since it 
is then not feasible to let PYTHIA pick the next process type, strategies 
+-1 and +-2 would not work. Instead strategy 3 would be the recommended 
choice, or -3 if negative-weight events are required. 

Note 2: it is possible to switch on internally implemented 
processes and have PYTHIA mix these with LHA ones according to their relative 
cross sections for strategies +-1, +-2 and 3. It does not work for strategy 
-3 unless the positive and negative sectors of the cross sections are in 
separate subprocesses (as must always be the case for -1 and -2), since 
otherwise the overall mixture of PYTHIA and LHA processes will be off. 
Mixing is not possible for strategies +-4, since the weighting procedure 
is not specified by the standard. (For instance, the intention may be to 
have events biased towards larger pT values in some particular 
functional form.) 
   
   
 


void LHAup::addProcess( int idProcess, double xSec, double xErr, double xMax)   

sets info on an allowed process (cf. LPRUP, XSECUP, XERRUP, 
XMAXUP). 
Each new call will append one more entry to the list of processes. 
The choice of strategy determines which quantities are mandatory: 
xSec for strategies +-2 and +-3, 
xErr never, and 
xMax for strategies +-1 and +-2. 
   
 

Note: PYTHIA does not make active use of the (optional) 
xErr values, but calculates a statistical cross section 
error based on the spread of event-to-event weights. This should work 
fine for strategy options +-1, but not for the others. Specifically, 
for options +-2 and +-3 the weight spread may well vanish, and anyway 
is likely to be an underestimate of the true error. If the author of the 
LHA input information does provide error information you may use that - 
this information is displayed at initialization. If not, then a relative 
error decreasing like 1/sqrt(n_acc), where n_acc 
is the number of accepted events, should offer a reasonable estimate. 
 


void LHAup::setXSec( int i, double xSec)   

update the xSec value of the i'th process 
added with addProcess method (i.e. i runs 
from 0 through sizeProc() - 1, see below). 
   
 


void LHAup::setXErr( int i, double xErr)   

update the xErr value of the i'th process 
added with addProcess method. 
   
 


void LHAup::setXMax( int i, double xMax)   

update the xMax value of the i'th process 
added with addProcess method. 
   
 


void LHAup::setInfoHeader(string &key, string &val)   

set the header key to have value val. 
This is a wrapper function to the 
Info::setHeader function that 
should be used in any classes derived from LHAup. 
   
 

 
Information is handed back by the following methods 
(that normally you would not need to touch): 


int LHAup::idBeamA()   

   
int LHAup::idBeamB()   

   
double LHAup::eBeamA()   

   
double LHAup::eBeamB()   

   
int LHAup::pdfGroupBeamA()   

   
int LHAup::pdfGroupBeamB()   

   
int LHAup::pdfSetBeamA()   

   
int LHAup::pdfSetBeamB()   

for the beam properties. 
   


int LHAup::strategy()   

for the strategy choice. 
   


int LHAup::sizeProc()   

for the number of subprocesses. 
   


int LHAup::idProcess(i)   

   
double LHAup::xSec(i)   

   
double LHAup::xErr(i)   

   
double LHAup::xMax(i)   

for process i in the range 0 <= i < 
sizeProc(). 
 
   


double LHAup::xSecSum()   

   
double LHAup::xErrSum()   

the sum of the cross sections and errors (the latter added quadratically). 
Note that cross section errors are only meaningful for strategies +-3. 
   
 


void LHAup::listInit(ostream& os = cout)   

prints the above initialization information. This method is 
automatically called from Pythia::init(...), 
so would normally not need to be called directly by the user. 
   
 

 
 
 

Event input
 
 
The LHAup class also stores information equivalent to the 
/HEPEUP/ commonblock, as required to hand in the next 
parton-level configuration for complete event generation. The main 
difference is that the vector container now allows a flexible number 
of partons to be defined. For the rest, names have been modified, 
since the 6-character-limit does not apply, and variables have been 
regrouped for clarity, but nothing fundamental is changed. 
 

 
The LHA standard is based on Fortran arrays beginning with 
index 1, and mother information is defined accordingly. In order to 
be compatible with this convention, the zeroth line of the C++ particle 
array is kept empty, so that index 1 also here corresponds to the first 
particle. One small incompatibility is that the sizePart() 
method returns the full size of the particle array, including the 
empty zeroth line, and thus is one larger than the true number of 
particles (NUP). 
 


virtual bool LHAup::setEvent(int idProcess = 0, double mRecalculate = -1.)   

this pure virtual method has to be implemented in the derived class, 
to set relevant information when called. For strategy options +-1 
and +-2 the input idProcess value specifies which process 
that should be generated, while idProcess is irrelevant 
for strategies +-3 and +-4. The mRecalculate input alllows 
an optional recalculation of the mass from the four-momentum, see 
LesHouches::mRecalculate below. The method should return 
false if it fails to set the info, i.e. normally that the supply of 
events in a file is exhausted. If so, no event is generated, and 
Pythia::next() returns false. You can then interrogate 
Info::atEndOfFile() 
to confirm that indeed the failure is caused in this method, and decide 
to break out of the event generation loop. 
 

 
Inside a normal setEvent(...) call, information can be set 
by the following methods: 


void LHAup::setProcess( int idProcess, double weight, double scale, double alphaQED, double alphaQCD)   

tells which kind of process occurred, with what weight, at what scale, 
and which alpha_EM and alpha_strong were used 
(cf. IDPRUP, XWTGUP, SCALUP, AQEDUP, AQCDUP). This method 
also resets the size of the particle list, and adds the empty zeroth 
line, so it has to be called before the addParticle method below. 
   


void LHAup::addParticle( int id, int status, int mother1, int mother2, int colourTag1, int colourTag2, double p_x, double p_y, double p_z, double e, double m, double tau, double spin, double scale)   

gives the properties of the next particle handed in (cf. IDUP, ISTUP, 
MOTHUP(1,..), MOTHUP(2,..), ICOLUP(1,..), ICOLUP(2,..),  PUP(J,..), 
VTIMUP, SPINUP; while scale is a new optional property, 
see further below) . 
   
 

 
Information is handed back by the following methods: 


int LHAup::idProcess()   

process number. 
   
 


double LHAup::weight()   

Note that the weight stored in Info::weight() as a rule 
is not the same as the above weight(): the method here gives 
the value before unweighting while the one in info gives 
the one after unweighting and thus normally is 1 or -1. Only with strategy 
options +-3 and +-4 would the value in info be the same as 
here, except for a conversion from pb to mb for +-4. 
   
 


double LHAup::scale()   

   
double LHAup::alphaQED()   

   
double LHAup::alphaQCD()   

scale and couplings at that scale. 
   
 


int LHAup::sizePart()   

the size of the particle array, which is one larger than the number 
of particles in the event, since the zeroth entry is kept empty 
(see above). 
   
 


int LHAup::id(int i)   

   
int LHAup::status(int i)   

   
int LHAup::mother1(int i)   

   
int LHAup::mother2(int i)   

   
int LHAup::col1(int i)   

   
int LHAup::col2(int i)   

   
double LHAup::px(int i)   

   
double LHAup::py(int i)   

   
double LHAup::pz(int i)   

   
double LHAup::e(int i)   

   
double LHAup::m(int i)   

   
double LHAup::tau(int i)   

   
double LHAup::spin(int i)   

   
double LHAup::scale(int i)   

for particle i in the range 
0 <= i < sizePart(). (But again note that 
i = 0 is an empty line, so the true range begins at 1.) 
   
 

 
From the information in the event record it is possible to set 
the flavour and x values of the initiators 


void LHAup::setIdX(int id1, int id2, double x1, double x2)   

   
 

 
This information is returned by the methods 


int LHAup::id1()   

   
int LHAup::id2()   

   
double LHAup::x1()   

   
double LHAup::x2()   

   
 

 
In the LHEF description [Alw06] an extension to 
include information on the parton densities of the colliding partons 
is suggested. This optional further information can be set by 


void LHAup::setPdf( int id1pdf, int id2pdf, double x1pdf, double x2pdf, double scalePDF, double pdf1, double pdf2, bool pdfIsSet)   

which gives the flavours , the x and the Q scale 
(in GeV) at which the parton densities x*f_i(x, Q) have been 
evaluated. The last argument is normally true. 
   
 

 
This information is returned by the methods 


bool LHAup::pdfIsSet()   

   
int LHAup::id1pdf()   

   
int LHAup::id2pdf()   

   
double LHAup::x1pdf()   

   
double LHAup::x2pdf()   

   
double LHAup::scalePDF()   

   
double LHAup::pdf1()   

   
double LHAup::pdf2()   

where the first one tells whether this optional information has been set 
for the current event. (setPdf(...) must be called after the 
setProcess(...) call of the event for this to work.) 
Note that the flavour and x values usually but not always 
agree with those obtained by the same methods without pdf 
in their names, see explanation in the 
Event Information description. 
   
 

 
As a further, currently completely non-standard feature, it is also 
possible to read in the separate scale values of all final particles. 
Currently such information should appear as a line begun by a single 
hashtag character (#) and then sequentially the scale value of all 
particles with status 1. Such scale values could be used e.g. to 
restrict the maximum scale for shower evolutions for each parton 
separately. This information is returned by the method 
double LHAup::scale(int i). When no such information 
has been read from the LHEF, the scale defaults to -1. 
 

 


void LHAup::listEvent(ostream& os = cout)   

prints the above information for the current event.  In cases where the 
LHAup object is not available to the user, the 
Pythia::LHAeventList(ostream& os = cout) method can 
be used, which is a wrapper for the above. 
   
 


virtual bool LHAup::skipEvent(int nSkip)   

skip ahead nSkip events in the Les Houches generation 
sequence, without doing anything further with them. Mainly 
intended for debug purposes, e.g. when an event at a known 
location in a Les Houches Event File is causing problems. 
Will return false if operation fails, specifically if the 
end of an LHEF has been reached. The implementation in the base class 
simply executes setEvent() the requested number of times. 
The derived LHAupLHEF class (see below) only uses the 
setNewEventLHEF(...) part of its setEvent() 
method, and other derived classes could choose other shortcuts. 
   
 

 
The LHA expects the decay of resonances to be included as part of the 
hard process, i.e. if unstable particles are produced in a process then 
their decays are also described. This includes Z^0, W^+-, H^0 
and other short-lived particles in models beyond the Standard Model. 
Should this not be the case then PYTHIA will perform the decays of all 
resonances it knows how to do, in the same way as for internal processes. 
Note that you will be on slippery ground if you then restrict the decay of 
these resonances to specific allowed channels since, if this is not what 
was intended, you will obtain the wrong cross section and potentially the 
wrong mix of different event types. (Since the original intention is 
unknown, the cross section will not be corrected for the fraction of 
open channels, i.e. the procedure used for internal processes is not 
applied in this case.) 
 

 
Even if PYTHIA can select resonance decay modes according to its 
internal tables, there is normally no way for it to know which 
decay angular correlations should exist in the simulated process. 
Therefore almost all decays are isotropic. The exceptions are Higgs and 
top decays, in the decay chains H → WW/ZZ → f fbar f' fbar' 
and t → b W → b f fbar, where the process-independent 
correlations implemented for internal processes are used. If part of 
the decay chain has already been set, however (e.g. H → WW/ZZ 
or t → b W), then decay is still isotropic. 
 

 
There are two settings available for event input. 
 

mode   LesHouches:idRenameBeams   
 (default = 1000022; minimum = 0)

PYTHIA only implements a certain number of incoming beam particles.
Specifically it needs to have PDFs for every composite particle to
be used. Sometimes exotic beam particles are used, e.g. when a 
neutralino is supposed to be the Dark Matter particle and therefore
neutralino pairs can collide and annihilate. Such a particle identity
code, picked by this mode, is mapped onto an incoming tau neutrino 
beam (or antineutrino for the second beam), to bring it to a familiar 
situation. The trick cannot be used for composite particles, nor for 
a pair of different particles. 
   
 

mode   LesHouches:setLifetime   
 (default = 1; minimum = 0; maximum = 2)

handling of the decay time information stored in VTIMUP 
when the Les Houches event record is stored into the PYTHIA 
process one. The reason is that some matrix-element 
generators (like POWHEG) do not set decay times, so that it is up to 
PYTHIA to make that selection. This is particularly important for 
the tau lepton. 

option  0 :  all decay times are taken from the Les Houches input. 
   

option  1 :  the decay time of tau leptons is generated 
like for internal PYTHIA taus, whereas all other decay times 
are taken from the Les Houches input. 
   

option  2 :  all decay times are generated by PYTHIA, thus 
completely disregarding the Les Houches values. This option could 
go wrong in BSM scenarios with long-lived particles, if PYTHIA 
has not been provided with the information to select those lifetimes 
correctly. 
   
   
 

 
There is also one parameter that can be used to modify the setting 
of event information, if implemented in the derived class. It is 
prompted by an unforeseen choice made in some programs (like CalcHEP) 
of storing the nominal mass of a particle species rather than the 
mass of the current member of that species. This is likely to 
induce energy-momentum nonconservation when the event is further 
processed. 
 

parm   LesHouches:mRecalculate   
 (default = -1.)

Does not have any effect by default, or more generally when it is negative. 
If it is positive then all particles with an input mass above this 
value will have the mass recalculated and reset from the four-momentum, 
m^2 = E^2 - p^2. Obviously such a step is problematic 
numerically for light particles, so it should only be used for the 
programs and particles where it is needed. Thus the value ought to be 
at least 10 GeV, so that only massive particles like W^+-, 
Z^0 and t are affected. 
   
 

An interface to Les Houches Event Files
 
 
The LHEF standard [Alw06] specifies a format where a single file 
packs initialization and event information. This has become the most 
frequently used procedure to process external parton-level events in 
Pythia. Therefore a special 
Pythia::init(fileName) 
initialization option exists, where the LHEF name is provided as input. 
Internally this name is then used to create an instance of the derived 
class LHAupLHEF, which can do the job of reading an LHEF. 


 
The two key compulsory parts of an LHEF is the initialization information
stored in an init block, enclosed by a matching <init>
- </init> pair of lines, and the event input, with each 
event enclosed by a matching <event> - 
</event> pair of lines. In the case of the no-beams 
extension the init block may be empty, but the <init>
and </init> lines must be included for the file parsing
to work as expected. It is also possible to have a non-empty init block, 
with the beams assigned code 0, and optionally a number of specified 
"processes".
 

 
The LHEF reader can also read in and store header blocks. By default 
this option is switched on, but may be controlled through the 
Beams:readLHEFheaders flag if 
necessary. The information can later be read out through the 
Info class for further processing. 
Due to the non-standard nature of the information in these blocks they 
are stored whole, and PYTHIA itself makes no further attempt to process 
their meaning. 
 

 
Because Les Houches Event files tend not to adhere strictly to XML 
conventions, to consistently read in header information, certain 
choices must be made. The primary goal is to make as much information 
available as possible. First, information sitting directly in the 
<header> block is stored under the key "base". Second, the tags 
starting and ending each sub block must be on their own line. Finally, 
the contents of comment blocks, <!-- -->, are still stored. The 
header keys are formed hierarchically from the names of the header 
blocks. This behaviour is illustrated in the following example: 

 
  <header> 
    BaseA 
    <hblock1> 
      1A 
      <hblock11> 
        11A <hblock111> 
        </hblock111> 11B 
      </hblock11> 
      1B 
    </hblock1> 
    <hblock2> 
      2A 
      <!-- 2B --> 
    </hblock2> 
    BaseB 
  </header> 

 
which would lead to the following information being stored in the 
Info class: 

 
  
 Key Value 
 
  
 
    base 
    BaseA
BaseB		 
  
 
  
 
    hblock1 
    1A
1B		 
  
 
  
 
    hblock1.hblock11 
    11A <hblock111>
</hblock111> 11B		 
  
 
  
 
    hblock2 
    2A
<!-- 2B -->		 
  
 

 

 

 
Normally the LHEF would be in uncompressed format, and thus human-readable 
if opened in a text editor. A possibility to read gzipped files has 
been added, based on the Boost and zlib libraries, which therefore 
have to be linked appropriately in order for this option to work. 
See the README file in the main directory for details 
on how to do this. 
 

 
An example how to generate events from an LHEF is found in 
main11.cc. Note the use of 
Info::atEndOfFile() to find out when the whole 
LHEF has been processed. 
 

 
To allow the sequential use of several event files the 
Pythia::init(...) method has an optional second argument: 
Pythia::init(fileName, bool skipInit = false). 
If called with this argument true then there will be no 
initialization, except that the existing LHAupLHEF class 
instance will be deleted and replaced by ones pointing to the new file. 
It is assumed (but never checked) that the initialization information is 
identical, and that the new file simply contains further events of 
exactly the same kind as the previous one. An example of this possibility, 
and the option to mix with internal processes, is found in 
main12.cc. A variant, based on input in a command file, 
is given in main13.cc. 
 

 
In C++, real numbers are printed with an 'E' to denote the exponent part, 
e.g. 1.23E+04, and are read in accordingly. Other languages may use other 
letters, e.g. Fortran allows either 'E' or 'D'. A file using 
the latter convention would not be readable by the standard routines. 
In case you have such an "incorrectly formatted" file, a conversion to 
a new corrected file could be done e.g. using sed, as a 
one-line command 

 
  sed -e 's/\([0-9]\.\{0,1\}\)[dD]\([+-]\{0,1\}[0-9]\)/\1E\2/g' old.lhe > new.lhe 

 
This replaces a 'd' or 'D' with an 'E' only when it occurs in the combination 


(digit) ('.' or absent) ('d' or 'D') ('+', '-' or absent) (digit) 

It will work on all parts of the file, also inside a 
<header>...</header> block. For conversion only 
inside the <init>...</init> and 
<event>...</event> blocks, create a file 
convert.sed containing 

 
  /<init>/,/<\/init>/bconv 
  /<event>/,/<\/event>/bconv 
  b 
  :conv 
  s/\([0-9]\.\{0,1\}\)[dD]\([+-]\{0,1\}[0-9]\)/\1E\2/g 

 
and run it with 

 
  sed -f convert.sed old.lhe > new.lhe 

 
 

 
The workhorses of the LHAupLHEF class are three methods 
found in the base class, so as to allow them to be reused in other 
contexts. Specifically, it allows derived classes where one parton-level 
configuration can be reused several times, e.g. in the context of 
matrix-element-to-parton-shower matching (example in preparation). 
Also two small utility routines. 
 


bool LHAup::setInitLHEF(ifstream& is, bool readHeaders = false)   

read in and set all required initialization information from the 
specified stream. With second argument true it will also read and store 
header information, as described above. Return false if it fails. 
   
 


bool LHAup::setNewEventLHEF(ifstream& is)   

read in event information from the specified stream into a staging area 
where it can be reused by setOldEventLHEF. 
   
 


bool LHAup::setOldEventLHEF()   

store the event information from the staging area into the normal 
location. Thus a single setNewEventLHEF call can be 
followed by several setOldEventLHEF ones, so as to 
process the same configuration several times. This method currently 
only returns true, i.e. any errors should be caught by the preceding 
setNewEventLHEF call. 
   
 


bool LHAup::fileFound()   

always returns true in the base class, but in LHAupLHEF 
it returns false if the LHEF provided in the constructor is not 
found and opened correctly. 
   
 


void LHAup::setInfoHeader(const string &key, const string &val)   

is used to send header information on to the Info class. 
   
 

 
A few other methods, most of them derived from the base class, 
streamlines file opening and closing, e.g. if several LHE files are 
to be read consecutively, without the need for a complete 
reinitialization. This presupposes that the events are of the same 
kind, only split e.g. to limit file sizes. 
 


bool LHAup::newEventFile(const char* fileIn)   

close current event input file/stream and open a new one, to 
continue reading events of the same kind as before. 
   
 


istream* LHAup::openFile(const char *fn, ifstream &ifs)   

   
void LHAup::closeFile(istream *&is, ifstream &ifs)   

open and close a file, also gzip files, where an intermediate 
decompression layer is needed. 
   
 


void LHAupLHEF::closeAllFiles()   

close main event file (LHEF) and, if present, separate header file. 
   
  

A runtime Fortran interface
 
 
The runtime Fortran interface requires linking to an external Fortran 
code. In order to avoid problems with unresolved external references 
when this interface is not used, the code has been put in a separate 
LHAFortran.h file, that is not included in any of the 
other library files. Instead it should be included in the 
user-supplied main program, together with the implementation of two 
methods below that call the Fortran program to do its part of the job. 
 

 
The LHAupFortran class derives from LHAup. 
It reads initialization and event information from the LHA standard 
Fortran commonblocks, assuming these commonblocks behave like two 
extern "C" struct named heprup_ and 
hepeup_. (Note the final underscore, to match how the 
gcc compiler internally names Fortran files.) 
 

 
The instantiation does not require any arguments. 
 

 
The user has to supply implementations of the fillHepRup() 
and fillHepEup() methods, that is to do the actual calling 
of the external Fortran routines that fill the HEPRUP and 
HEPEUP commonblocks. The translation of this information to 
the C++ structure is provided by the existing setInit() and 
setEvent() code. 
 

 
Up to and including version 8.125 the LHAupFortran class 
was used to construct a runtime interface to PYTHIA 6.4. This was 
convenient in the early days of PYTHIA 8 evolution, when this program 
did not yet contain hard-process generation, and the LHEF standard 
did not yet exist. Nowadays it is more of a bother, since a full 
cross-platform support leads to many possible combinations. Therefore 
this support has been removed, but can still be recuperated from 
previous code versions, in a reduced form up to version 8.176. 
 

Methods for LHEF output
 
 
The main objective of the LHAup class is to feed information 
from an external program into PYTHIA. It can be used to export information 
as well, however. Specifically, there are four routines in the base class 
that can be called to write a Les Houches Event File. These should be 
called in sequence in order to build up the proper file structure. 
 


bool LHAup::openLHEF(string filename)   

Opens a file with the filename indicated, and writes a header plus a brief 
comment with date and time information. 
   
 


bool LHAup::initLHEF()   

Writes initialization information to the file above. Such information should 
already have been set with the methods described in the "Initialization" 
section above. 
   
 


bool LHAup::eventLHEF(bool verbose = true)   

Writes event information to the file above. Such information should 
already have been set with the methods described in the "Event input" 
section above. This call should be repeated once for each event to be 
stored. By default the event information is lined up in columns. 
To save space, the alternative verbose = false only 
leaves a single blank between the information fields. 
   
 


bool LHAup::closeLHEF(bool updateInit = false)   

Writes the closing tag and closes the file. Optionally, if 
updateInit = true, this routine will reopen the file from 
the beginning, rewrite the same header as openLHEF() did, 
and then call initLHEF() again to overwrite the old 
information. This is especially geared towards programs, such as PYTHIA 
itself, where the cross section information is not available at the 
beginning of the run, but only is obtained by Monte Carlo integration 
in parallel with the event generation itself. Then the 
setXSec( i, xSec), setXErr( i, xSec) and 
setXMax( i, xSec) can be used to update the relevant 
information before closeLHEF is called. 

Warning: overwriting the beginning of a file without 
upsetting anything is a delicate operation. It only works when the new 
lines require exactly as much space as the old ones did. Thus, if you add 
another process in between, the file will be corrupted. 
   
 


string LHAup::getFileName()   

Return the name of the LHE file above.
   
 

PYTHIA 8 output to an LHEF
 
 
The above methods could be used by any program to write an LHEF. 
For PYTHIA 8 to do this, a derived class already exists, 
LHAupFromPYTHIA8. In order for it to do its job, 
it must gain access to the information produced by PYTHIA, 
specifically the process event record and the 
generic information stored in info. Therefore, if you 
are working with an instance pythia of the 
Pythia class, you have to instantiate 
LHAupFromPYTHIA8 with pointers to the 
process and info objects of 
pythia: 

LHAupFromPYTHIA8 myLHA(&pythia.process, &pythia.info); 
 

 
The method setInit() should be called to store the 
pythia initialization information in the LHA object, 
and setEvent() to store event information. 
Furthermore, updateSigma() can be used at the end 
of the run to update cross-section information, cf. 
closeLHEF(true) above. An example how the 
generation, translation and writing methods should be ordered is 
found in main20.cc. 
 

 
Currently there are some limitations, that could be overcome if 
necessary. Firstly, you may mix many processes in the same run, 
but the cross-section information stored in info only 
refers to the sum of them all, and therefore they are all classified 
as a common process 9999. Secondly, you should generate your events 
in the CM frame of the collision, since this is the assumed frame of 
stored Les Houches events, and no boosts have been implemented 
for the case that Pythia::process is not in this frame. 
 

 
The LHEF standard is the agreed format to store the particles of a 
hard process, as input to generators, whereas output of final states 
is normally handled using the HepMC 
standard. It is possible to use LHEF also here, however. It requires 
that the above initialization is replaced by 

LHAupFromPYTHIA8 myLHA(&pythia.event, &pythia.info); 

 i.e. that process is replaced by event. 
In addition, the PartonLevel:all = off command found in 
main20.cc obviously must be removed if one wants to 
obtain complete events. 
  


 
 
pythia8-8.1.86.orig/htmldoc/ASecondHardProcess.html0000644000175000017500000005060212357553535020351 0ustar  sunsun

A Second Hard Process




 

A Second Hard Process
 
 
When you have selected a set of hard processes for hadron beams, the 
multiparton interactions 
framework can add further interactions to build up a realistic 
underlying event. These further interactions can come from a wide 
variety of processes, and will occasionally be quite hard. They 
do represent a realistic random mix, however, which means one cannot 
predetermine what will happen. Occasionally there may be cases 
where one wants to specify also the second hard interaction rather 
precisely. The options on this page allow you to do precisely that. 
 

flag   SecondHard:generate   
 (default = off)

Generate two hard scatterings in a collision between hadron beams. 
The hardest process can be any combination of internal processes, 
available in the normal process 
selection machinery, or external input. Here you must further 
specify which set of processes to allow for the second hard one, see 
the following. 
   
 

Process Selection
 
 
In principle the whole process 
selection allowed for the first process could be repeated 
for the second one. However, this would probably be overkill. 
Therefore here a more limited set of prepackaged process collections 
are made available, that can then be further combined at will. 
Since the description is almost completely symmetric between the 
first and the second process, you always have the possibility 
to pick one of the two processes according to the complete list 
of possibilities. 
 

 
Here comes the list of allowed sets of processes, to combine at will: 
 

flag   SecondHard:TwoJets   
 (default = off)

Standard QCD 2 → 2 processes involving gluons and 
d, u, s, c, b quarks. 
   
 

flag   SecondHard:PhotonAndJet   
 (default = off)

A prompt photon recoiling against a quark or gluon jet. 
 

flag   SecondHard:TwoPhotons   
 (default = off)

Two prompt photons recoiling against each other. 
 

flag   SecondHard:Charmonium   
 (default = off)

Production of charmonium via colour singlet and colour octet channels. 
 

flag   SecondHard:Bottomonium   
 (default = off)

Production of bottomonium via colour singlet and colour octet channels. 
 

flag   SecondHard:SingleGmZ   
 (default = off)

Scattering q qbar → gamma^*/Z^0, with full interference 
between the gamma^* and Z^0. 
   
 

flag   SecondHard:SingleW   
 (default = off)

Scattering q qbar' → W^+-. 
   
 

flag   SecondHard:GmZAndJet   
 (default = off)

Scattering q qbar → gamma^*/Z^0 g and 
q g → gamma^*/Z^0 q. 
   
 

flag   SecondHard:WAndJet   
 (default = off)

Scattering q qbar' → W^+- g and 
q g → W^+- q'. 
   
 

flag   SecondHard:TopPair   
 (default = off)

Production of a top pair, either via QCD processes or via an 
intermediate gamma^*/Z^0 resonance. 
   
 

flag   SecondHard:SingleTop   
 (default = off)

Production of a single top, either via a t- or 
an s-channel W^+- resonance. 
   
 

 
A further process collection comes with a warning flag: 
 

flag   SecondHard:TwoBJets   
 (default = off)

The q qbar → b bbar and g g → b bbar processes. 
These are already included in the TwoJets sample above, 
so it would be double-counting to include both, but we assume there 
may be cases where the b subsample will be of special interest. 
This subsample does not include flavour-excitation or gluon-splitting 
contributions to the b rate, however, so, depending 
on the topology if interest, it may or may not be a good approximation. 
   
 

Cuts and scales
 
 
The second hard process obeys exactly the same selection rules for 
phase space cuts and 
couplings and scales 
as the first one does. Specifically, a pTmin cut for 
2 → 2 processes would apply to the first and the second hard 
process alike, and ballpark half of the time the second could be 
generated with a larger pT than the first. (Exact numbers 
depending on the relative shape of the two cross sections.) That is, 
first and second is only used as an administrative distinction between 
the two, not as a physics ordering one. 
 

 
Optionally it is possible to pick the mass and pT 
phase space cuts separately for 
the second hard interaction. The main application presumably would 
be to allow a second process that is softer than the first, but still 
hard. But one is also free to make the second process harder than the 
first, if desired. So long as the two pT (or mass) ranges 
overlap the ordering will not be the same in all events, however. 
 

Cross-section calculation
 
 
As an introduction, a brief reminder of Poissonian statistics. 
Assume a stochastic process in time, for now not necessarily a 
high-energy physics one, where the probability for an event to occur 
at any given time is independent of what happens at other times. 
Then the probability for n events to occur in a finite 
time interval is 

 
P_n = <n>^n exp(-<n>) / n! 

 
where <n> is the average number of events. If this 
number is small we can approximate exp(-<n>) = 1 , 
so that P_1 = <n> and 
P_2 = <n>^2 / 2 = P_1^2 / 2. 
 

 
Now further assume that the events actually are of two different 
kinds a and b, occurring independently of each 
other, such that <n> = <n_a> + <n_b>. 
It then follows that the probability of having one event of type 
a (or b) and nothing else is 
P_1a = <n_a> (or P_1b = <n_b>). 
From 

 
P_2 = (<n_a> + <n_b>)^2 / 2 = (P_1a + P_1b)^2 / 2 = 
(P_1a^2 + 2 P_1a P_1b + P_1b^2) / 2 

 
it is easy to read off that the probability to have exactly two 
events of kind a and none of b is 
P_2aa = P_1a^2 / 2 whereas that of having one a 
and one b is P_2ab = P_1a P_1b. Note that the 
former, with two identical events, contains a factor 1/2 
while the latter, with two different ones, does not. If viewed 
in a time-ordered sense, the difference is that the latter can be 
obtained two ways, either first an a and then a b 
or else first a b and then an a. 
 

 
To translate this language into cross-sections for high-energy 
events, we assume that interactions can occur at different pT 
values independently of each other inside inelastic nondiffractive 
(sometimes equated with "minbias") events. Then the above probabilities 
translate into 
P_n = sigma_n / sigma_ND where sigma_ND is the 
total nondiffractive cross section. Again we want to assume that 
exp(-<n>) is close to unity, i.e. that the total 
hard cross section above pTmin is much smaller than 
sigma_ND. The hard cross section is dominated by QCD 
jet production, and a reasonable precaution is to require a 
pTmin of at least 20 GeV at LHC energies. 
(For 2 → 1 processes such as 
q qbar → gamma^*/Z^0 (→ f fbar) one can instead make a 
similar cut on mass.) Then the generic equation 
P_2 = P_1^2 / 2 translates into 
sigma_2/sigma_ND = (sigma_1 / sigma_ND)^2 / 2 or 
sigma_2 = sigma_1^2 / (2 sigma_ND). 
 

 
Again different processes a, b, c, ... contribute, 
and by the same reasoning we obtain 
sigma_2aa = sigma_1a^2 / (2 sigma_ND), 
sigma_2ab = sigma_1a sigma_1b / sigma_ND, 
and so on. 
 

 
There is one important correction to this picture: all collisions 
do no occur under equal conditions. Some are more central in impact 
parameter, others more peripheral. This leads to a further element of 
variability: central collisions are likely to have more activity 
than the average, peripheral less. Integrated over impact 
parameter standard cross sections are recovered, but correlations 
are affected by a "trigger bias" effect: if you select for events 
with a hard process you favour events at small impact parameter 
which have above-average activity, and therefore also increased 
chance for further interactions. (In PYTHIA this is the origin 
of the "pedestal effect", i.e. that events with a hard interaction 
have more underlying activity than the level found in minimum-bias 
events.) 
 

 
When you specify a matter overlap profile in the multiparton-interactions 
scenario, such an enhancement/depletion factor f_impact is 
chosen event-by-event and can be averaged during the course of the run. 
As an example, the double Gaussian form used in Tune A gives 
approximately <f_impact> = 2.5. In general, the more 
uneven the distribution the higher the <f_impact>. 
Also the pT0 parameter value has an impact, even if it is 
less important over a realistic range of values, although it implies 
that <f_impact> is energy-dependent. The origin of this 
effect is as follows. A lower pT0 implies more MPI activity 
at all impact parameters, so that the nondiffractive cross section 
sigma_ND increases, or equivalently the proton size. But if 
sigma_ND is fixed by data then the input radius of the matter 
overlap profile (not explicitly specified but implicitly adjusted at 
initialization) has to be shrunk  so that the output value can stay 
constant. This means that the proton matter is more closely packed and 
therefore <f_impact> goes up. 
 
 

 
The above equations therefore have to be modified to 
sigma_2aa = <f_impact> sigma_1a^2 / (2 sigma_ND), 
sigma_2ab = <f_impact> sigma_1a sigma_1b / sigma_ND. 
Experimentalists often instead use the notation 
sigma_2ab = sigma_1a sigma_1b / sigma_eff, 
from which we see that PYTHIA "predicts" 
sigma_eff = sigma_ND / <f_impact>. 
When the generation of multiparton interactions is switched off it is 
not possible to calculate <f_impact> and therefore 
it is set to unity. 
 

 
When this recipe is to be applied to calculate 
actual cross sections, it is useful to distinguish three cases, 
depending on which set of processes are selected to study for 
the first and second interaction. 
 

 
(1) The processes a for the first interaction and 
b for the second one have no overlap at all. 
For instance, the first could be TwoJets and the 
second TwoPhotons. In that case, the two interactions 
can be selected independently, and cross sections tabulated 
for each separate subprocess in the two above classes. At the 
end of the run, the cross sections in a should be multiplied 
by <f_impact> sigma_1b / sigma_ND to bring them to 
the correct overall level, and those in b by 
<f_impact> sigma_1a / sigma_ND. 
  

 
(2) Exactly the same processes a are selected for the 
first and second interaction. In that case it works as above, 
with a = b, and it is only necessary to multiply by an 
additional factor 1/2. A compensating factor of 2 
is automatically obtained for picking two different subprocesses, 
e.g. if TwoJets is selected for both interactions, 
then the combination of the two subprocesses q qbar → g g 
and g g → g g can trivially be obtained two ways. 
  

 
(3) The list of subprocesses partly but not completely overlap. 
For instance, the first process is allowed to contain a 
or c and the second b or c, where 
there is no overlap between a and b. Then, 
when an independent selection for the first and second interaction 
both pick one of the subprocesses in c, half of those 
events have to be thrown, and the stored cross section reduced 
accordingly. Considering the four possible combinations of first 
and second process, this gives a 

 
sigma'_1 = sigma_1a + sigma_1c * (sigma_2b + sigma_2c/2) / 
(sigma_2b + sigma_2c) 

 
with the factor 1/2 for the sigma_1c sigma_2c term. 
At the end of the day, this sigma'_1 should be multiplied 
by the normalization factor 

 
f_1norm = <f_impact> (sigma_2b + sigma_2c) / sigma_ND 

 
here without a factor 1/2 (or else it would have been 
double-counted). This gives the correct 

 
(sigma_2b + sigma_2c) * sigma'_1 = sigma_1a * sigma_2b 
+ sigma_1a * sigma_2c + sigma_1c * sigma_2b + sigma_1c * sigma_2c/2 

 
The second interaction can be handled in exact analogy. 
 

 
For the considerations above it is assumed that the phase space cuts 
are the same for the two processes. It is possible to set the mass and 
transverse momentum cuts differently, however. This changes nothing 
for processes that already are different. For two collisions of the 
same type it is partly a matter of interpretation what is intended. 
If we consider the case of the same process in two non-overlapping 
phase space regions, most likely we want to consider them as 
separate processes, in the sense that we expect a factor 2 relative 
to Poissonian statistics from either of the two hardest processes 
populating either of the two phase space regions. In total we are 
therefore lead to adopt the same strategy as in case (3) above: 
only in the overlapping part of the two allowed phase space regions 
could two processes be identical and thus appear with a 1/2 factor, 
elsewhere the two processes are never identical and do not 
include the 1/2 factor. We reiterate, however, that the case of 
partly but not completely overlapping phase space regions for one and 
the same process is tricky, and not to be used without prior 
deliberation. 
 

 
The listing obtained with the pythia.statistics() 
already contain these corrections factors, i.e. cross sections 
are for the occurrence of two interactions of the specified kinds. 
There is not a full tabulation of the matrix of all the possible 
combinations of a specific first process together with a specific 
second one (but the information is there for the user to do that, 
if desired). Instead pythia.statistics() shows this 
matrix projected onto the set of processes and associated cross 
sections for the first and the second interaction, respectively. 
Up to statistical fluctuations, these two sections of the 
pythia.statistics() listing both add up to the same 
total cross section for the event sample. 
 

 
There is a further special feature to be noted for this listing, 
and that is the difference between the number of "selected" events 
and the number of "accepted" ones. Here is how that comes about. 
Originally the first and second process are selected completely 
independently. The generation (in)efficiency is reflected in the 
different number of initially tried events for the first and second 
process, leading to the same number of selected events. While 
acceptable on their own, the combination of the two processes may 
be unacceptable, however. It may be that the two processes added 
together use more energy-momentum than kinematically allowed, or, 
even if not, are disfavoured when the PYTHIA approach to provide 
correlated parton densities is applied. Alternatively, referring 
to case (3) above, it may be because half of the events should 
be thrown for identical processes. Taken together, it is these 
effects that reduced the event number from "selected" to "accepted". 
(A further reduction may occur if a 
user hook rejects some events.) 
 

 
It is allowed to use external Les Houches Accord input for the 
hardest process, and then pick an internal one for the second hardest. 
In this case PYTHIA does not have access to your thinking concerning 
the external process, and cannot know whether it overlaps with the 
internal or not. (External events q qbar' → e+ nu_e could 
agree with the internal W ones, or be a W' resonance 
in a BSM scenario, to give one example.) Therefore the combined cross 
section is always based on the scenario (1) above. Corrections for 
correlated parton densities are included also in this case, however. 
That is, an external event that takes a large fraction of the incoming 
beam momenta stands a fair chance of being rejected when it has to be 
combined with another hard process. For this reason the "selected" and 
"accepted" event numbers are likely to disagree. 
 

 
In the cross section calculation above, the sigma'_1 
cross sections are based on the number of accepted events, while 
the f_1norm factor is evaluated based on the cross sections 
for selected events. That way the suppression by correlations 
between the two processes does not get to be double-counted. 
 

 
The pythia.statistics() listing contains two final 
lines, indicating the summed cross sections sigma_1sum and 
sigma_2sum for the first and second set of processes, at 
the "selected" stage above, plus information on the sigma_ND 
and <f_impact> used. The total cross section 
generated is related to this by 

 
<f_impact> * (sigma_1sum * sigma_2sum / sigma_ND) * 
(n_accepted / n_selected) 

 
 with an additional factor of 1/2 for case 2 above. 
 

 
The error quoted for the cross section of a process is a combination 
in quadrature of the error on this process alone with the error on 
the normalization factor, including the error on 
<f_impact>. As always it is a purely statistical one 
and of course hides considerably bigger systematic uncertainties. 
 

Event information
 
 
Normally the process event record only contains the 
hardest interaction, but in this case also the second hardest 
is stored there. If both of them are 2 → 2 ones, the 
first would be stored in lines 3 - 6 and the second in 7 - 10. 
For both, status codes 21 - 29 would be used, as for a hardest 
process. Any resonance decay chains would occur after the two 
main processes, to allow normal parsing. The beams in 1 and 2 
only appear in one copy. This structure is echoed in the 
full event event record. 
 

 
Most of the properties accessible by the 
pythia.info 
methods refer to the first process, whether that happens to be the 
hardest or not. The code and pT scale of the second process 
are accessible by the info.codeMPI(1) and 
info.pTMPI(1), however. 
 

 
The sigmaGen() and sigmaErr() methods provide 
the cross section and its error for the event sample as a whole, 
combining the information from the two hard processes as described 
above. In particular, the former should be used to give the 
weight of the generated event sample. The statistical error estimate 
is somewhat cruder and gives a larger value than the 
subprocess-by-subprocess one  employed in 
pythia.statistics(), but this number is 
anyway less relevant, since systematical errors are likely to dominate. 
 


 
 
pythia8-8.1.86.orig/htmldoc/MainProgramSettings.html0000644000175000017500000003754112357553535020643 0ustar  sunsun

Main-Program and Related Settings




 

Main-Program and Related Settings
 
 

Introduction
 
 
The main program is up to the user to write. However, 
sample main programs 
are provided. In one such class of programs, key settings of the run 
are read in from a "cards file". For experimental collaborations 
this is actually the most common way to run a program like PYTHIA. 
The commands in such a file may be of two types
 
(a) instructions directly to Pythia, like which 
processes to generate, and
 
(b) instructions to the main program for what it should do, 
like how many events to generate, and how many events should 
be listed.
 
In principle these two kinds could be kept completely separate. 
However, to make life simpler, a number of useful main-program 
settings are defined on this page, so that they are recognized by 
the Settings machinery. They can thus be put among 
the other cards without distinction. It is up to you to decide which 
ones, if any, you actually want to use when you write your main program. 
 

 
To further reduce the necessary amount of main-program code, some of 
the tasks that you can steer from your main program can also be done 
internally. This in particular relates to some information printing. 
To give an example, the Main:numberToList mode can be 
used by you in your main program to decide to list a few of the 
generated events, whereas Next:numberListEvent is used 
internally in a pythia.next() call to do such a listing 
automatically. Ultimately, in both cases, a 
pythia.event.list() call is the one that generates 
the listing, explicitly in the main program in the former case, 
implicitly called from pythia.next() in the latter. 
 

 
The settings names on this page thus fall into four main groups 

     

  • Init:... denote actions that automatically may be 
taken during the pythia.init() call.
    •  

  • Next:... denote actions that automatically may be 
taken during the pythia.next() call.
    •  

  • Stat:... denote actions that automatically may be 
taken during the pythia.stat() call.
    •  

  • Main:... denote actions that you yourself 
have the freedom to make use of in your main program.
    •  

 
The use of several of the Main:... options is deprecated 
in favour of the other possibilities. 
 

 
The Main:... options works like this. Once you have used 
the pythia.readFile(fileName) method to read in the cards 
file, where the values have been set, you can interrogate the 
Settings database to make the values available in your 
main program. A slight complication is that you need to use a different 
Settings method for each of the four possible return types 
that you want to extract. To save some typing the same method names are 
found directly in the Pythia class, and just send on to the 
Settings ones to do the job, e.g. 

 
  bool   showCS = pythia.flag("Main:showChangedSettings"); 
  int    nEvent = pythia.mode("Main:numberOfEvents"); 
  double spare1 = pythia.parm("Main:spareParm1"); 
  string file   = pythia.word("Main:allSettingsFile"); 

 
 

Main-program settings
 
 
The settings in this section must be under the control of the 
user, i.e. there are no internal equivalents. 
 

mode   Main:numberOfEvents   
 (default = 1000; minimum = 0)

The number of events to be generated. 
   
 

mode   Main:timesAllowErrors   
 (default = 10)

Allow this many times that pythia.next() returns false, 
i.e. that an event is flawed, before aborting the run. 
   
 

Initialization settings
 
 

flag   Init:showProcesses   
 (default = on)

Print a list of all processes that will be simulated, with 
their estimated cross section maxima, as used for the 
subsequent Monte Carlo selection. Also print corresponding 
Les Houches initialization data, where relevant. 
   
 

flag   Init:showMultipartonInteractions   
 (default = on)

Print initialization information for the multiparton interactions 
machinery. 
   
 

flag   Init:showChangedSettings   
 (default = on)

Print a list of the changed flag/mode/parameter/word settings. 
   
 

flag   Init:showAllSettings   
 (default = off)

Print a list of all flag/mode/parameter/word settings. 
Warning: this will be a long list. 
   
 

flag   Init:showChangedParticleData   
 (default = on)

Print a list of particle and decay data for those particles 
that were changed (one way or another). 
   
 

flag   Init:showChangedResonanceData   
 (default = off)

In the previous listing also include the resonances that are 
initialized at the beginning of a run and thus get new particle 
data, even if these may well agree with the default ones. 
Warning: this will be a rather long list. 
   
 

flag   Init:showAllParticleData   
 (default = off)

Print a list of all particle and decay data. 
Warning: this will be a long list. 
   
 

mode   Init:showOneParticleData   
 (default = 0; minimum = 0)

Print particle and decay data for the particle with this particular 
identity code. Default means that no particle is printed. 
   
 

flag   Main:showChangedSettings   
 (default = on)

Deprecated. Print a list of the changed flag/mode/parameter/word settings. 
   
 

flag   Main:showAllSettings   
 (default = off)

Deprecated. Print a list of all flag/mode/parameter/word settings. 
Warning: this will be a long list. 
   
 

flag   Main:showChangedParticleData   
 (default = off)

Deprecated. Print a list of particle and decay data for those particles 
that were changed (one way or another). 
   
 

flag   Main:showChangedResonanceData   
 (default = off)

Deprecated. In the previous listing also include the resonances that are 
initialized at the beginning of a run and thus get new particle 
data, even if these may well agree with the default ones. 
Warning: this will be a rather long list. 
   
 

flag   Main:showAllParticleData   
 (default = off)

Deprecated. Print a list of all particle and decay data. 
Warning: this will be a long list. 
   
 

mode   Main:showOneParticleData   
 (default = 0; minimum = 0)

Deprecated. Print particle and decay data for the particle with this 
particular identity code. Default means that no particle is printed. 
   
 

flag   Main:writeChangedSettings   
 (default = off)

Write a file with the changed flag/mode/parameter/word settings, in 
a format appropriate to be read in at the beginning of a new 
run, using the pythia.readFile(fileName) method. 
   
 

word   Main:changedSettingsFile   
 (default = currentSettings.cmnd)

The name of the file to which the changed flag/mode/parameter/word 
settings are written if Main:writeChangedSettings 
is on. 
   
 

flag   Main:writeAllSettings   
 (default = off)

Write a file with all flag/mode/parameter/word settings, in 
a format appropriate to be read in at the beginning of a new 
run, using the pythia.readFile(fileName) method. 
   
 

word   Main:allSettingsFile   
 (default = allSettings.cmnd)

The name of the file to which a flag/mode/parameter/word 
settings are written if Main:writeAllSettings 
is on. 
   
 

Event-generation settings
 
 

mode   Next:numberCount   
 (default = 1000; minimum = 0)

Print a line telling how many events have been generated so far, 
once every numberCount events. If set zero then no 
lines are ever printed. 
 

mode   Next:numberShowLHA   
 (default = 1; minimum = 0)

The number of events to list the Les Houches input information for, 
where relevant. 
   
 

mode   Next:numberShowInfo   
 (default = 1; minimum = 0)

The number of events to list the Info information for, 
where relevant. 
   
 

mode   Next:numberShowProcess   
 (default = 1; minimum = 0)

The number of events to list the process record for, 
where relevant. 
   
 

mode   Next:numberShowEvent   
 (default = 1; minimum = 0)

The number of events to list the event record for, 
where relevant. 
   
 

flag   Next:showScaleAndVertex   
 (default = off)

In addition to the normal information in the listing of the 
process and event records, a second line 
per particle provides information on the production scale, 
particle polarization and production vertex. 
   
 

flag   Next:showMothersAndDaughters   
 (default = off)

In addition to the normal information in the listing of the 
process and event records, further lines 
list all the mothers and daughters of each particle. 
   
 

mode   Main:numberToList   
 (default = 2; minimum = 0)

Deprecated. The number of events to list. 
   
 

mode   Main:timesToShow   
 (default = 50; minimum = 0)

Deprecated. Print the number of events generated so far, this many times, 
i.e. once every numberOfEvents/numberToShow events. 
   
 

Statistics
 
 

flag   Stat:showProcessLevel   
 (default = on)

Print the available statistics on number of generated events and 
cross sections, where relevant. 
   
 

flag   Stat:showPartonLevel   
 (default = off)

Print the available statistics on number and types of multiparton 
interactions, where relevant. 
   
 

flag   Stat:showErrors   
 (default = on)

Print the available statistics on number and types of 
aborts, errors and warnings. 
   
 

flag   Stat:reset   
 (default = off)

Reset the statistics of the above three kinds. The default is that 
all stored statistics information is unaffected by the 
pythia.stat() call. Counters are automatically reset 
in each new pythia.init() call, however, so the only time 
the reset option makes a difference is if stat() 
is called several times in a (sub)run. 
   
 

flag   Main:showAllStatistics   
 (default = off)

Print all available statistics or only the minimal set at the end 
of the run. 
   
 

Subruns
 
 
You can use subruns to carry out 
several tasks in the same run. In that case you will need repeated 
instances of the first setting below in your command file, and could 
additionally use the second and third as well. 
 

mode   Main:subrun   
 (default = -999; minimum = 0)

The number of the current subrun, a non-negative integer, put as 
first line in a section of lines to be read for this particular subrun. 
   
 

flag   Main:LHEFskipInit   
 (default = off)

If you read several Les Houches Event Files that you want to see 
considered as one single combined event sample you can set this flag 
on after the first subrun to skip (most of) the 
(re-)initialization step. 
   
 

mode   Main:numberOfSubruns   
 (default = 0)

The number of subruns you intend to use in your current run. 
Unlike the two settings above, Pythia itself will not 
interpret this number, but you could e.g. have a loop in your main 
program to loop over subruns from 0 through 
numberOfSubruns - 1. 
   
 

Spares
 
 
For currently unforeseen purposes, a few dummy settings are made 
available here. The user can set the desired value in a "cards file" 
and then use that value in the main program as desired. 
 

flag   Main:spareFlag1   
 (default = off)

   
 

flag   Main:spareFlag2   
 (default = off)

   
 

flag   Main:spareFlag3   
 (default = off)

   
 

mode   Main:spareMode1   
 (default = 0)

   
 

mode   Main:spareMode2   
 (default = 0)

   
 

mode   Main:spareMode3   
 (default = 0)

   
 

parm   Main:spareParm1   
 (default = 0.)

   
 

parm   Main:spareParm2   
 (default = 0.)

   
 

parm   Main:spareParm3   
 (default = 0.)

   
 

word   Main:spareWord1   
 (default = void)

   
 

word   Main:spareWord2   
 (default = void)

   
 

word   Main:spareWord3   
 (default = void)

   
 


 
 
pythia8-8.1.86.orig/htmldoc/HadronScattering.html0000644000175000017500000001136612357553535020142 0ustar  sunsun

Hadron Scattering




 

Hadron Scattering
 
 
A simple hadron scattering model. It is intended to take into account 
that the overlap of multiple strings at low transverse dimensions 
is likely to lead to some collective effects, not unlike those 
observed in heavy-ion collisions, even if not quite as pronounced. 
Specifically, it is assumed that the hadrons produced can scatter 
against each other on the way out, before the fragmenting system 
has had time to expand enough that the hadrons get free. Thereby 
heavier particles are shifted to higher transverse momenta, at the 
expense of the lighter ones. 
 

Warning: This is still at an experimental level, 
and should not be used unless you know what you are doing. 
 

flag   HadronScatter:scatter   
 (default = off)

Master flag for hadron scattering. 
   
 

flag   HadronScatter:afterDecay   
 (default = off)

Perform hadron scattering before or after first round of decays, 
involving very short-lived particles like the rho. 
The default is to perform scattering directly after the 
string fragmentation, before any decays. 
   
 

flag   HadronScatter:allowDecayProd   
 (default = off)

Allow two hadrons with same parent hadron to scatter. 
   
 

flag   HadronScatter:scatterRepeat   
 (default = off)

Allow hadrons which have already scattered to scatter again. 
Even if switched on, the same pair can not scatter off each 
other twice. 
   
 

Hadron selection
 
 

mode   HadronScatter:hadronSelect   
 (default = 0; minimum = 0; maximum = 0)

Probability that a hadron is soft enough to scatter. 
(A high-pT hadron presumably being part of a jet, 
and thus produced away from the high-particle-density region 
at small transverse dimensions.) 

option  0 :  
P = N exp(-pT^2 / 2 / sigma^2) / 
  ( (1 - k) exp(-pT^2 / 2 / sigma^2) + k pT0^p / (pT0^2 + pT^2)^(p/2),  
with sigma = 2 StringPT:sigma and pT0 the same as that 
used in MultipartonInteractions. 
   
   
 

parm   HadronScatter:N   
 (default = 1.0; minimum = 0.01; maximum = 1.0)

N parameter as above. 
   

parm   HadronScatter:k   
 (default = 1.0; minimum = 0.01; maximum = 1.0)

k parameter as above. 
   

parm   HadronScatter:p   
 (default = 6; minimum = 2; maximum = 30)

p parameter as above. 
   
 

Scattering probability
 
 

mode   HadronScatter:scatterProb   
 (default = 0; minimum = 0; maximum = 2)

Probability for a pair of hadrons to scatter. 

option  0 : All hadrons scatter with probability 
j max(0, 1 - dR^2 / rMax^2). Angular distribution 
is picked flat in cos(theta).   

option  1 : As option 0, above, but only pi-pi, 
pi-K and pi-p scatterings are considered. 
   

option  2 : Only pi-pi, pi-K and 
pi-p scatterings are considered, with probability 
given by (1 - exp(-j sigEl)) max(0, 1 - dR^2 / rMax^2). 
The elastic cross sections and angular distributions are taken 
from the partial-wave distributions. 
   
   
 

parm   HadronScatter:j   
 (default = 0.5; minimum = 0.0; maximum = 10.0)

j parameter as above. 
   

parm   HadronScatter:rMax   
 (default = 0.5; minimum = 0.1; maximum = 2.0)

rMax parameter as above. 
   
 

flag   HadronScatter:tile   
 (default = off)

Use tiling in (eta, phi) to reduce number of pairwise tests. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/CouplingsAndScales.html0000644000175000017500000003570712357553535020431 0ustar  sunsun

Couplings and Scales




 

Couplings and Scales
 
 
Here is collected some possibilities to modify the scale choices 
of couplings and parton densities for all internally implemented 
hard processes. This is based on them all being derived from the 
SigmaProcess base class. The matrix-element coding is 
also used by the multiparton-interactions machinery, but there with a 
separate choice of alpha_strong(M_Z^2) value and running, 
and separate PDF scale choices. Also, in 2 → 2 and 
2 → 3 processes where resonances are produced, their 
couplings and thereby their Breit-Wigner shapes are always evaluated 
with the resonance mass as scale, irrespective of the choices below. 
 

Couplings and K factor
 
 
The size of QCD cross sections is mainly determined by 

parm   SigmaProcess:alphaSvalue   
 (default = 0.1265; minimum = 0.06; maximum = 0.25)

The alpha_strong value at scale M_Z^2. 
   
 

 
The actual value is then regulated by the running to the Q^2 
renormalization scale, at which alpha_strong is evaluated 

mode   SigmaProcess:alphaSorder   
 (default = 1; minimum = 0; maximum = 2)

Order at which alpha_strong runs, 

option  0 : zeroth order, i.e. alpha_strong is kept 
fixed.   

option  1 : first order, which is the normal value.   

option  2 : second order. Since other parts of the code do 
not go to second order there is no strong reason to use this option, 
but there is also nothing wrong with it.   
   
 

 
QED interactions are regulated by the alpha_electromagnetic 
value at the Q^2 renormalization scale of an interaction. 

mode   SigmaProcess:alphaEMorder   
 (default = 1; minimum = -1; maximum = 1)

The running of alpha_em used in hard processes. 

option  1 : first-order running, constrained to agree with 
StandardModel:alphaEMmZ at the Z^0 mass. 
   

option  0 : zeroth order, i.e. alpha_em is kept 
fixed at its value at vanishing momentum transfer.   

option  -1 : zeroth order, i.e. alpha_em is kept 
fixed, but at StandardModel:alphaEMmZ, i.e. its value 
at the Z^0 mass. 
   
   
 

 
In addition there is the possibility of a global rescaling of 
cross sections (which could not easily be accommodated by a 
changed alpha_strong, since alpha_strong runs) 

parm   SigmaProcess:Kfactor   
 (default = 1.0; minimum = 0.5; maximum = 4.0)

Multiply almost all cross sections by this common fix factor. Excluded 
are only unresolved processes, where cross sections are better 
set directly, and 
multiparton interactions, which have a separate K factor 
of their own. 
This degree of freedom is primarily intended for hadron colliders, and 
should not normally be used for e^+e^- annihilation processes. 
   
 

Renormalization scales
 
 
The Q^2 renormalization scale can be chosen among a few different 
alternatives, separately for 2 → 1, 2 → 2 and two 
different kinds of 2 → 3 processes. In addition a common 
multiplicative factor may be imposed. 
  

mode   SigmaProcess:renormScale1   
 (default = 1; minimum = 1; maximum = 2)

The Q^2 renormalization scale for 2 → 1 processes. 
The same options also apply for those 2 → 2 and 
2 → 3 processes that have been specially marked as 
proceeding only through an s-channel resonance, by the 
isSChannel() virtual method of SigmaProcess. 

option  1 : the squared invariant mass, i.e. sHat. 
   

option  2 : fix scale set in SigmaProcess:renormFixScale 
below. 
   
   
   

mode   SigmaProcess:renormScale2   
 (default = 2; minimum = 1; maximum = 5)

The Q^2 renormalization scale for 2 → 2 processes. 

option  1 : the smaller of the squared transverse masses of the two 
outgoing particles, i.e. min(mT_3^2, mT_4^2) = 
pT^2 + min(m_3^2, m_4^2). 
   

option  2 : the geometric mean of the squared transverse masses of 
the two outgoing particles, i.e. mT_3 * mT_4 = 
sqrt((pT^2 + m_3^2) * (pT^2 + m_4^2)). 
   

option  3 : the arithmetic mean of the squared transverse masses of 
the two outgoing particles, i.e. (mT_3^2 + mT_4^2) / 2 = 
pT^2 + 0.5 * (m_3^2 + m_4^2). Useful for comparisons 
with PYTHIA 6, where this is the default. 
   

option  4 : squared invariant mass of the system, 
i.e. sHat. Useful for processes dominated by 
s-channel exchange. 
   

option  5 : fix scale set in SigmaProcess:renormFixScale 
below. 
   
   
   

mode   SigmaProcess:renormScale3   
 (default = 3; minimum = 1; maximum = 6)

The Q^2 renormalization scale for "normal" 2 → 3 
processes, i.e excepting the vector-boson-fusion processes below. 
Here it is assumed that particle masses in the final state either match 
or are heavier than that of any t-channel propagator particle. 
(Currently only g g / q qbar → H^0 Q Qbar processes are 
implemented, where the "match" criterion holds.) 

option  1 : the smaller of the squared transverse masses of the three 
outgoing particles, i.e. min(mT_3^2, mT_4^2, mT_5^2). 
   

option  2 : the geometric mean of the two smallest squared transverse 
masses of the three outgoing particles, i.e. 
sqrt( mT_3^2 * mT_4^2 * mT_5^2 / max(mT_3^2, mT_4^2, mT_5^2) ). 
   

option  3 : the geometric mean of the squared transverse masses of the 
three outgoing particles, i.e. (mT_3^2 * mT_4^2 * mT_5^2)^(1/3). 
   

option  4 : the arithmetic mean of the squared transverse masses of 
the three outgoing particles, i.e. (mT_3^2 + mT_4^2 + mT_5^2)/3. 
   

option  5 : squared invariant mass of the system, 
i.e. sHat. 
   

option  6 : fix scale set in SigmaProcess:renormFixScale 
below. 
   
   
  

mode   SigmaProcess:renormScale3VV   
 (default = 3; minimum = 1; maximum = 6)

The Q^2 renormalization scale for 2 → 3 
vector-boson-fusion processes, i.e. f_1 f_2 → H^0 f_3 f_4 
with Z^0 or W^+-  t-channel propagators. 
Here the transverse masses of the outgoing fermions do not reflect the 
virtualities of the exchanged bosons. A better estimate is obtained 
by replacing the final-state fermion masses by the vector-boson ones 
in the definition of transverse masses. We denote these combinations 
mT_Vi^2 = m_V^2 + pT_i^2. 

option  1 : the squared mass m_V^2 of the exchanged 
vector boson. 
   

option  2 : the geometric mean of the two propagator virtuality 
estimates, i.e. sqrt(mT_V3^2 * mT_V4^2). 
   

option  3 : the geometric mean of the three relevant squared 
transverse masses, i.e. (mT_V3^2 * mT_V4^2 * mT_H^2)^(1/3). 
   

option  4 : the arithmetic mean of the three relevant squared 
transverse masses, i.e. (mT_V3^2 + mT_V4^2 + mT_H^2)/3. 
   

option  5 : squared invariant mass of the system, 
i.e. sHat. 
   

option  6 : fix scale set in SigmaProcess:renormFixScale 
below. 
   
   
 

parm   SigmaProcess:renormMultFac   
 (default = 1.; minimum = 0.1; maximum = 10.)

The Q^2 renormalization scale for 2 → 1, 
2 → 2 and 2 → 3 processes is multiplied by 
this factor relative to the scale described above (except for the options 
with a fix scale). Should be use sparingly for 2 → 1 processes. 
   
 

parm   SigmaProcess:renormFixScale   
 (default = 10000.; minimum = 1.)

A fix Q^2 value used as renormalization scale for 
2 → 1, 2 → 2 and 2 → 3 processes 
in some of the options above. 
   
 

Factorization scales
 
 
Corresponding options exist for the Q^2 factorization scale 
used as argument in PDF's. Again there is a choice of form for 
2 → 1, 2 → 2 and 2 → 3 processes 
separately. For simplicity we have let the numbering of options agree, 
for each event class separately, between normalization and factorization 
scales, and the description has therefore been slightly shortened. The 
default values are not necessarily the same, however. 
  

mode   SigmaProcess:factorScale1   
 (default = 1; minimum = 1; maximum = 2)

The Q^2 factorization scale for 2 → 1 processes. 
The same options also apply for those 2 → 2 and 
2 → 3 processes that have been specially marked as 
proceeding only through an s-channel resonance. 

option  1 : the squared invariant mass, i.e. sHat. 
   

option  2 : fix scale set in SigmaProcess:factorFixScale 
below. 
   
   
 

mode   SigmaProcess:factorScale2   
 (default = 1; minimum = 1; maximum = 5)

The Q^2 factorization scale for 2 → 2 processes. 

option  1 : the smaller of the squared transverse masses of the two 
outgoing particles. 
   

option  2 : the geometric mean of the squared transverse masses of 
the two outgoing particles. 
   

option  3 : the arithmetic mean of the squared transverse masses of 
the two outgoing particles. Useful for comparisons with PYTHIA 6, where 
this is the default. 
   

option  4 : squared invariant mass of the system, 
i.e. sHat. Useful for processes dominated by 
s-channel exchange. 
   

option  5 : fix scale set in SigmaProcess:factorFixScale 
below. 
   
   
   

mode   SigmaProcess:factorScale3   
 (default = 2; minimum = 1; maximum = 6)

The Q^2 factorization scale for "normal" 2 → 3 
processes, i.e excepting the vector-boson-fusion processes below. 

option  1 : the smaller of the squared transverse masses of the three 
outgoing particles. 
   

option  2 : the geometric mean of the two smallest squared transverse 
masses of the three outgoing particles. 
   

option  3 : the geometric mean of the squared transverse masses of the 
three outgoing particles. 
   

option  4 : the arithmetic mean of the squared transverse masses of 
the three outgoing particles. 
   

option  5 : squared invariant mass of the system, 
i.e. sHat. 
   

option  6 : fix scale set in SigmaProcess:factorFixScale 
below. 
   
   
  

mode   SigmaProcess:factorScale3VV   
 (default = 2; minimum = 1; maximum = 6)

The Q^2 factorization scale for 2 → 3 
vector-boson-fusion processes, i.e. f_1 f_2 → H^0 f_3 f_4 
with Z^0 or W^+-  t-channel propagators. 
Here we again introduce the combinations mT_Vi^2 = m_V^2 + pT_i^2 
as replacements for the normal squared transverse masses of the two 
outgoing quarks. 

option  1 : the squared mass m_V^2 of the exchanged 
vector boson. 
   

option  2 : the geometric mean of the two propagator virtuality 
estimates. 
   

option  3 : the geometric mean of the three relevant squared 
transverse masses. 
   

option  4 : the arithmetic mean of the three relevant squared 
transverse masses. 
   

option  5 : squared invariant mass of the system, 
i.e. sHat. 
   

option  6 : fix scale set in SigmaProcess:factorFixScale 
below. 
   
   
 

parm   SigmaProcess:factorMultFac   
 (default = 1.; minimum = 0.1; maximum = 10.)

The Q^2 factorization scale for 2 → 1, 
2 → 2 and 2 → 3 processes is multiplied by 
this factor relative to the scale described above (except for the options 
with a fix scale). Should be use sparingly for 2 → 1 processes. 
   
 

parm   SigmaProcess:factorFixScale   
 (default = 10000.; minimum = 1.)

A fix Q^2 value used as factorization scale for 2 → 1, 
2 → 2 and 2 → 3 processes in some of the options 
above. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/UserHooks.html0000644000175000017500000014446212357553536016632 0ustar  sunsun

User Hooks




 

User Hooks
 
 
Sometimes it may be convenient to step in during the generation 
process: to modify the built-in cross sections, to veto undesirable 
events or simply to collect statistics at various stages of the 
evolution. There is a base class UserHooks that gives 
you this access at a few selected places. This class in itself does 
nothing; the idea is that you should write your own derived class 
for your task. One simple derived class (SuppressSmallPT) 
comes with the program, mainly as illustration, and the 
main10.cc program provides a complete (toy) example how 
a derived class could be set up and used. 
 

 
There are eight sets of routines, that give you different kinds of 
freedom. They are, in no particular order: 

(i) Ones that give you access to the event record in between 
the process-level and parton-level steps, or in between the 
parton-level and hadron-level ones. You can study the event record 
and decide whether to veto this event. 

(ii) Ones that allow you to set a scale at which the combined 
parton-level MPI+ISR+FSR downwards evolution in pT is 
temporarily interrupted, so the event can be studied and either 
vetoed or allowed to continue the evolution. 

(iii) Ones that allow you to to study the event after the first 
few ISR/FSR emissions, or first few MPI, so the event can be vetoed 
or allowed to continue the evolution. 

(iv) Ones that allow you to study the latest initial- or 
final-state emission and veto that emission, without vetoing the 
event as a whole. 

(v) Ones that give you access to the properties of the trial 
hard process, so that you can modify the internal Pythia cross section, 
alternatively the phase space sampling, by your own correction factors. 

(vi) Ones that allow you to reject the decay sequence of resonances 
at the process level. 

(vii) Ones that let you set the scale of shower evolution, 
specifically for matching in resonance decays. 

(viii) Ones that allow colour reconnection, notably in connection 
with resonance decays.

They are described further in the following numbered subsections. 
 

 
All the possibilities above can be combined freely and also be combined 
with the standard flags. An event would then survive only if it survived 
each of the possible veto methods. There are no hidden interdependencies 
in this game, but of course some combinations may not be particularly 
meaningful. For instance, if you set PartonLevel:all = off 
then the doVetoPT(...) and doVetoPartonLevel(...) 
locations in the code are not even reached, so they would never be called. 
 

 
The effect of the vetoes of types (i), (ii) and (iii) can be studied 
in the output of the 
Pythia::statistics() 
method. The "Selected" column represents the number of events that were 
found acceptable by the internal Pythia machinery, whereas the "Accepted" 
one are the events that also survived the user cuts. The cross section 
is based on the latter number, and so is reduced by the amount associated 
by the vetoed events. Also type (v) modifies the cross section, while 
types (iv), (vi) and (vii) do not. 
 

 
A warning. When you program your own derived class, do remember that you 
must exactly match the arguments of the base-class methods you overload. 
If not, your methods will be considered as completely new ones, and 
compile without any warnings, but not be used inside Pythia. 
So, at the debug stage, do insert some suitable print statements to check 
that the new methods are called (and do what they should). 
 

The basic components
 
 
For a derived UserHooks class to be called during the 
execution, a pointer to an object of this class should be handed in 
with the 

 
Pythia::setUserHooksPtr( UserHooks*) 

method. The first step therefore is to construct your own derived 
class, of course. This must contain a constructor and a destructor. The 
initPtr method comes "for free", and is set up without 
any intervention from you. 
 


UserHooks::UserHooks()   

   
virtual UserHooks::~UserHooks()   

The constructor and destructor do not need to do anything. 
   
 


void UserHooks::initPtr( Info* infoPtr, Settings* settingsPtr, ParticleData* particleDataPtr, Rndm* rndmPtr, BeamParticle* beamAPtr, BeamParticle* beamBPtr, BeamParticle* beamPomAPtr, BeamParticle* beamPomBPtr, CoupSM* coupSMPtr, PartonSystems* partonSystemsPtr, SigmaTotal* sigmaTotPtr)   

this (non-virtual) method is automatically called during the 
initialization stage to set several useful pointers, and to set up 
the workEvent below. The corresponding objects can 
later be used to extract some useful information. 

Info: 
general event and run information, including some loop counters. 

Settings: 
the settings used to determine the character of the run. 

ParticleData: 
the particle data used in the event record 
(including workEvent below). 

Rndm: the random number 
generator, that you could also use in your code. 

BeamParticle: 
the beamAPtr and beamBPtr beam particles 
contain info on partons extracted from the two incoming beams, 
on the PDFs used, and more. In cases when diffraction is simulated, 
also special Pomeron beams beamPomAPtr and 
beamPomBPtr are introduced, for the Pomerons residing 
inside the respective proton. 

CoupSM: 
Standard Model couplings. 

PartonSystems: 
the list of partons that belong to each individual subcollision system. 

SigmaTotal: 
total/elastic/diffractive cross section parametrizations. 
   
 

 
Next you overload the desired methods listed in the sections below. 
These often come in pairs or triplets, where the first must return 
true for the last method to be called. This latter method typically 
hands you a reference to the event record, which you then can use to 
decide whether or not to veto. Often the event record can be quite 
lengthy and difficult to overview. The following methods and data member 
can then come in handy. 
 


void UserHooks::omitResonanceDecays(const Event& process, bool finalOnly = false)   

is a protected method that you can make use of in your own methods to 
extract a simplified list of the hard process, where all resonance decay 
chains are omitted. Intended for the can/doVetoProcessLevel 
routines. Note that the normal process-level generation does include 
resonance decays. That is, if a top quark is produced in the hard process, 
then also decays such as t → b W+, W+ → u dbar will be 
generated and stored in process. 
The omitResonanceDecays 
routine will take the input process and copy it to 
workEvent (see below), minus the resonance decay chains. 
All particles produced in the hard process, such as the top, will be 
considered final-state ones, with positive status and no daughters, 
just as it is before resonances are allowed to decay. 

(In the PartonLevel routines, these decay chains will 
initially not be copied from process to event. 
Instead the combined MPI, ISR and FSR evolution is done with the top 
above as final particle. Only afterwards will the resonance decay chains 
be copied over, with kinematics changes reflecting those of the top, and 
showers in the decays carried out.) 

For the default finalOnly = false the beam particles 
and incoming partons are retained, so the event looks like a normal 
event record up to the point of resonance decays, with a normal history 
setup. 

With finalOnly = true only the final-state partons 
are retained in the list. It therefore becomes similar in functionality 
to the subEvent method below, with the difference that 
subEvent counts the decay products of the resonances 
as the final state, whereas here the resonances themselves are the 
final state. Since the history has been removed in this option, 
mother1() and mother2() return 0, while 
daughter1() and daughter2() both return the 
index of the same parton in the original event record. 
   
 


void UserHooks::subEvent(const Event& event, bool isHardest = true)   

is a protected method that you can make use of in your own methods to 
extract a brief list of the current partons of interest, with all 
irrelevant ones omitted. It is primarily intended to track the evolution 
at the parton level, notably the shower evolution of the hardest 
(i.e. first) interaction. 

For the default isHardest = true only the outgoing partons 
from the hardest interaction (including the partons added to it by ISR and 
FSR) are extracted, as relevant e.g. for doVetoPT( iPos, event) 
with iPos = 0 - 4. With isHardest = false instead 
the outgoing partons of the latest "subprocess" are extracted, as relevant 
when iPos = 5, where it corresponds to the outgoing partons 
in the currently considered decay. 

The method also works at the process level, but there simply extracts 
all final-state partons in the event, and thus offers no extra functionality. 

The result is stored in workEvent below. Since the 
history has been removed, mother1() and mother2() 
return 0, while daughter1() and daughter2() both 
return the index of the same parton in the original event record 
(event; possibly process), so that you can 
trace the full history, if of interest. 
   
 


Event UserHooks::workEvent   

This protected class member contains the outcome of the above 
omitResonanceDecays(...) and 
subEvent(...) methods. Alternatively you can use it for 
whatever temporary purposes you wish. You are free to use standard 
operations, e.g. to boost the event to its rest frame before analysis, 
or remove particles that should not be analyzed. 
The workEvent can also be sent on to a 
jet clustering algorithm. 
 

(i) Interrupt between the main generation levels
 
 


virtual bool UserHooks::initAfterBeams()   

This routine is called by Pythia::init(), after the beams have been 
set up, but before any other initialisation. Therefore, at this stage, 
it is still possible to modify settings (apart from 
Beams:*) and particle data. This is mainly intended 
to be used in conjunction with Les Houches Event files, where 
headers are read in during beam initialisation, see the header 
functions in the Info class. 
In the base class this method returns true. By returning false, 
PYTHIA initialisation will be aborted. 
   
 


virtual bool UserHooks::canVetoProcessLevel()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoProcessLevel(...) 
will be called immediately after a hard process (and associated 
resonance decays) has been selected and stored in the 
process event record. 

At this stage, the process record typically contains 
the two beams in slots 1 and 2, the two incoming partons to the hard 
process in slots 3 and 4, the N (usually 1, 2 or 3) primary produced 
particles in slots 5 through 4 + N, and thereafter recursively the 
resonance decay chains, if any. Use the method 
omitResonanceDecays(...) if you want to skip these 
decay chains. There are exceptions to this structure, 
for soft QCD processes (where 
the partonic process may not yet have been selected at this stage), 
and when a second hard process has 
been requested (where two hard processes are bookkept). In general 
it is useful to begin the development work by listing a few 
process records, to clarify what the structure is for 
the cases of interest. 
   
 


virtual bool UserHooks::doVetoProcessLevel(Event& process)   

can optionally be called, as described above. You can study the 
process event record of the hard process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

Warning: Normally you should not modify the process 
event record. However, for some matrix-element-matching procedures it may 
become unavoidable. If so, be very careful, since there are many pitfalls. 
Only to give one example: if you modify the incoming partons then also 
the information stored in the beam particles may need to be modified. 

Note: the above veto is different from setting the flag 
PartonLevel:all = off. 
Also in the latter case the event generation will stop after the process 
level, but an event generated up to this point is considered perfectly 
acceptable. It can be studied and it contributes to the cross section. 
That is, PartonLevel:all = off is intended for simple studies 
of hard processes, where one can save a lot of time by not generating 
the rest of the story. By contrast, the doVetoProcessLevel() 
method allows you to throw away uninteresting events at an early stage 
to save time, but those events that do survive the veto are allowed to 
develop into complete final states (unless flags have been set otherwise). 
   
 


virtual bool UserHooks::canVetoPartonLevel()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoPartonLevel(...) 
will be called immediately after the parton level has been generated 
and stored in the event 
event record. Thus showers, multiparton interactions and beam remnants 
have been set up, but hadronization and decays have not yet been 
performed. This is already a fairly complete event, possibly with quite 
a complex parton-level history. Therefore it is usually only meaningful 
to study the hardest interaction, e.g. using subEvent(...) 
introduced above, or fairly generic properties, such as the parton-level 
jet structure. 
   
 


virtual bool UserHooks::doVetoPartonLevel(const Event& event)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

Note: the above veto is different from setting the flag 
HadronLevel:all = off. 
Also in the latter case the event generation will stop after the parton 
level, but an event generated up to this point is considered perfectly 
acceptable. It can be studied and it contributes to the cross section. 
That is, HadronLevel:all = off is intended for simple 
studies of complete partonic states, where one can save time by not 
generating the complete hadronic final state. By contrast, the 
doVetoPartonLevel() method allows you to throw away 
uninteresting events to save time that way, but those events that 
do survive the veto are allowed to develop into complete final states 
(unless flags have been set otherwise). 
   
 


virtual bool UserHooks::canVetoPartonLevelEarly()   

is very similar to canVetoPartonLevel() above, except 
that the chance to veto appears somewhat earlier in the generation 
chain, after showers and multiparton interactions, but before the 
beam remnants and resonance decays have been added. It is therefore 
somewhat more convenient for many matrix element strategies, where 
the primordial kT added along with the beam remnants should 
not be included. 
   
 


virtual bool UserHooks::doVetoPartonLevelEarly(const Event& event)   

is very similar to doVetoPartonLevel(...) above, but 
the veto can be done earlier, as described for 
canVetoPartonLevelEarly(). 
 

(ii) Interrupt during the parton-level evolution, at a 
pT scale
 
 
During the parton-level evolution, multiparton interactions (MPI), 
initial-state radiation (ISR) and final-state radiation (FSR) 
are normally evolved downwards in 
one interleaved evolution sequence of decreasing pT values. 
For some applications, e.g  matrix-element-matching approaches, it 
may be convenient to stop the evolution temporarily when the "hard" 
emissions have been considered, but before continuing with the more 
time-consuming soft activity. Based on these hard partons one can make 
a decision whether the event at all falls in the intended event class, 
e.g. has the "right" number of parton-level jets. If yes then, as for 
the methods above, the evolution will continue all the way up to a 
complete event. Also as above, if no, then the event will not be 
considered in the final cross section. 
 

 
Recall that the new or modified partons resulting from a MPI, ISR or FSR 
step are always appended to the end of the then-current event record. 
Previously existing partons are not touched, except for the 
status, mother and daughter 
values, which are updated to reflect the modified history. It is 
therefore straightforward to find the partons associated with the most 
recent occurrence. 

An MPI results in four new partons being appended, two incoming 
and two outgoing ones. 

An ISR results in the whole affected system being copied down, 
with one of the two incoming partons being replaced by a new one, and 
one more outgoing parton. 

An FSR results in three new partons, two that come from the 
branching and one that takes the recoil. 

The story becomes more messy when rescattering is allowed as part 
of the MPI machinery. Then there will not only be a new system, as 
outlined above, but additionally some existing systems will undergo 
cascade effects, and be copied down with changed kinematics. 
 

 
In this subsection we outline the possibility to interrupt at a given 
pT scale, in the next to interrupt after a given number of 
emissions. 
 


virtual bool UserHooks::canVetoPT()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoPT(...) will 
interrupt the downward evolution at scaleVetoPT(). 
 


virtual double UserHooks::scaleVetoPT()   

In the base class this method returns 0. You should redefine it 
to return the pT scale at which you want to study the event. 
   
 


virtual bool UserHooks::doVetoPT(int iPos, const Event& event)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

argument iPos   :  is the position/status when the routine is 
called, information that can help you decide your course of action: 

argumentoption  0 :  when no MPI, ISR or FSR occurred above the veto scale; 
   

argumentoption  1 :  when inside the interleaved MPI + ISR + FSR evolution, 
after an MPI process; 
   

argumentoption  2 :  when inside the interleaved MPI + ISR + FSR evolution, 
after an ISR emission; 
   

argumentoption  3 :  when inside the interleaved MPI + ISR + FSR evolution, 
after an FSR emission; 
   

argumentoption  4 :  for the optional case where FSR is deferred from the 
interleaved evolution and only considered separately afterward (then 
alternative 3 would never occur); 
   

argumentoption  5 :  is for subsequent resonance decays, and is called once 
for each decaying resonance in a chain such as 
t → b W, W → u dbar. 
   
   

argument event   :  the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", and also those from further multiparton interactions. 
This may not be desirable for comparisons with matrix-element calculations. 
You may want to make use of the subEvent(...) method below to 
obtain a simplified event record workEvent. 
   
   
 

(iii) Interrupt during the parton-level evolution, after a step
 
 
These options are closely related to the ones above in section (ii), so 
we do not repeat the introduction, nor the possibilities to study the 
event record, also by using subEvent(...) and 
workEvent. 
What is different is that the methods in this section give access to the 
event as it looks like after each of the first few steps in the downwards 
evolution, irrespective of the pT scales of these branchings. 
Furthermore, it is here assumed that the focus normally is on the hardest 
subprocess, so that ISR/FSR emissions associated with additional MPI's 
are not considered. For MPI studies, however, a separate simpler 
alternative is offered to consider the event after a given number 
of interactions. 
 


virtual bool UserHooks::canVetoStep()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoStep(...) will 
interrupt the downward ISR and FSR evolution the first 
numberVetoStep() times. 
 


virtual int UserHooks::numberVetoStep()   

Returns the number of steps n each of ISR and FSR, for the 
hardest interaction, that you want to be able to study. That is, 
the method will be called after the first n ISR emissions, 
irrespective of the number of FSR ones at the time, and after the 
first n FSR emissions, irrespective of the number of ISR ones. 
The number of steps defaults to the first one only, but you are free 
to pick another value. Note that double diffraction is handled as two 
separate Pomeron-proton collisions, and thus has two sequences of 
emissions. 
   
 


virtual bool UserHooks::doVetoStep(int iPos, int nISR, int nFSR, const Event& event)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

argument iPos   :  is the position/status when the routine is 
called, information that can help you decide your course of action. 
Agrees with options 2 - 5 of the doVetoPT(...) routine 
above, while options 0 and 1 are not relevant here. 
   

argument nISR   :  is the number of ISR emissions in the hardest 
process so far. For resonance decays, iPos = 5, it is 0. 
   

argument nFSR   :  is the number of FSR emissions in the hardest 
process so far. For resonance decays, iPos = 5, it is the 
number of emissions in the currently studied system. 
   

argument event   :  the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", and also those from further multiparton interactions. 
This may not be desirable for comparisons with matrix-element calculations. 
You may want to make use of the subEvent(...) method above to 
obtain a simplified event record. 
   
   
 


virtual bool UserHooks::canVetoMPIStep()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoMPIStep(...) will 
interrupt the downward MPI evolution the first 
numberVetoMPIStep() times. 
 


virtual int UserHooks::numberVetoMPIStep()   

Returns the number of steps in the MPI evolution that you want to be 
able to study, right after each new step has been taken and the 
subcollision has been added to the event record. The number of steps 
defaults to the first one only, but you are free to pick another value. 
Note that the hardest interaction of an events counts as the first 
multiparton interaction. For most hard processes it thus at the first 
step offers nothing not available with the VetoProcessLevel 
functionality above. For the minimum-bias and diffractive systems the 
hardest interaction is not selected at the process level, however, so 
there a check after the first multiparton interaction offers new 
functionality. Note that double diffraction is handled as two separate 
Pomeron-proton collisions, and thus has two sequences of interactions. 
Also, if you have set up a second hard process then a check is made 
after these first two, and the first interaction coming from the MPI 
machinery would have sequence number 3. 
   
 


virtual bool UserHooks::doVetoMPIStep(int nMPI, const Event& event)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

argument nMPI   :  is the number of MPI subprocesses has occurred 
so far. 
   

argument event   :  the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", e.g. leftovers from the ISR and FSR evolution 
of previously generated systems. The most recently added one has not 
had time to radiate, of course. 
   
   
 

(iv) Veto emissions
 
 
The methods in this group are intended to allow the veto of an emission 
in ISR, FSR or MPI, without affecting the evolution in any other way. 
If an emission is vetoed, the event record is "rolled back" to the 
way it was before the emission occurred, and the evolution in pT 
is continued downwards from the rejected value. The decision can be 
based on full knowledge of the kinematics of the shower branching or MPI. 
 

 
To identify where shower emissions originated, the ISR/FSR veto 
routines are passed the system from which the radiation occurred, according 
to the Parton Systems class (see Advanced 
Usage). Note, however, that inside the veto routines only the event 
record has been updated; all other information, including the Parton 
Systems, reflects the event before the shower branching or MPI has 
taken place. 
 


virtual bool UserHooks::canVetoISREmission()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoISREmission(...) 
will interrupt the initial-state shower immediately after each 
emission and allow that emission to be vetoed. 
 


virtual bool UserHooks::doVetoISREmission( int sizeOld, const Event& event, int iSys)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the emission, true, or 
not, false. If you veto, then the latest emission is removed from 
the event record. In either case the evolution of the shower will 
continue from the point where it was left off. 

argument sizeOld   :  is the size of the event record before the 
latest emission was added to it. It will also become the new size if 
the emission is vetoed. 
   

argument event   :  the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent emission, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the emission 
these entries will be removed, and the history info in the remaining 
partons will be restored to a state as if the emission had never occurred. 
   

argument iSys   :  the system where the radiation occurs, according 
to Parton Systems. 
   
   
 


virtual bool UserHooks::canVetoFSREmission()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoFSREmission(...) 
will interrupt the final-state shower immediately after each 
emission and allow that emission to be vetoed. 
 


virtual bool UserHooks::doVetoFSREmission( int sizeOld, const Event& event, int iSys, bool inResonance = false)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the emission, true, or 
not, false. If you veto, then the latest emission is removed from 
the event record. In either case the evolution of the shower will 
continue from the point where it was left off. 

argument sizeOld   :  is the size of the event record before the 
latest emission was added to it. It will also become the new size if 
the emission is vetoed. 
   

argument event   :  the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent emission, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the emission 
these entries will be removed, and the history info in the remaining 
partons will be restored to a state as if the emission had never occurred. 
   

argument iSys   :  the system where the radiation occurs, according 
to Parton Systems. 
   

argument inResonance   :  true if the emission takes 
place in a resonance decay, subsequent to the hard process. 
   
   
 


virtual bool UserHooks::canVetoMPIEmission()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoMPIEmission(...) 
will interrupt the MPI machinery immediately after each multiparton 
interaction and allow it to be vetoed. 
 


virtual bool UserHooks::doVetoMPIEmission( int sizeOld, const Event& event)   

can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the MPI, true, or 
not, false. If you veto, then the latest MPI is removed from 
the event record. In either case the interleaved evolution will 
continue from the point where it was left off. 

argument sizeOld   :  is the size of the event record before the 
latest MPI was added to it. It will also become the new size if 
the MPI is vetoed. 
   

argument event   :  the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent MPI, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the MPI 
these entries will be removed. 
   
   
 

(v) Modify cross-sections or phase space sampling
 
 
This section addresses two related but different topics. In both 
cases the sampling of events in phase space is modified, so that 
some regions are more populated while others are depleted. 
In the first case, this is assumed to be because the physical 
cross section should be modified relative to the built-in Pythia 
form. Therefore not only the relative population of phase space 
is changed, but also the integrated cross section of the process. 
In the second case the repopulation is only to be viewed as a 
technical trick to sample some phase-space regions better, so as 
to reduce the statistical error. There each event instead obtains 
a compensating weight, the inverse of the differential cross section 
reweighting factor, in such a way that the integrated cross section 
is unchanged. Below these two cases are considered separately, 
but note that they share many points. 
 


virtual bool UserHooks::canModifySigma()   

In the base class this method returns false. If you redefine it 
to return true then the method multiplySigmaBy(...) will 
allow you to modify the cross section weight assigned to the current 
event. 
   
 


virtual double UserHooks::multiplySigmaBy( const SigmaProcess* sigmaProcessPtr, const PhaseSpace* phaseSpacePtr, bool inEvent)   

when called this method should provide the factor by which you want to 
see the cross section weight of the current event modified. If you 
return unity then the normal cross section is obtained. Note that, unlike 
the methods above, these modifications do not lead to a difference between 
the number of "selected" events and the number of "accepted" ones, 
since the modifications occur already before the "selected" level. 
The integrated cross section of a process is modified, of course. 
Note that the cross section is only modifiable for normal hard processes. 
It does not affect the cross section in further multiparton interactions, 
nor in elastic/diffractive/minimum-bias events. 

argument sigmaProcessPtr, phaseSpacePtr   : : 
what makes this routine somewhat tricky to write is that the 
hard-process event has not yet been constructed, so one is restricted 
to use the information available in the phase-space and cross-section 
objects currently being accessed. Which of their  methods are applicable 
depends on the process, in particular the number of final-state particles. 
The multiplySigmaBy code in UserHooks.cc 
contains explicit instructions about which methods provide meaningful 
information, and so offers a convenient starting point. 
   

argument inEvent   : : this flag is true when the method is 
called from within the event-generation machinery and false 
when it is called at the initialization stage of the run, when the 
cross section is explored to find a maximum for later Monte Carlo usage. 
Cross-section modifications should be independent of this flag, 
for consistency, but if  multiplySigmaBy(...) is used to 
collect statistics on the original kinematics distributions before cuts, 
then it is important to be able to exclude the initialization stage 
from comparisons. 
   
   
 

 
One derived class is supplied as an example how this facility can be used 
to reweight cross sections in the same spirit as is done with QCD cross 
sections for the minimum-bias/underlying-event description: 
 

class   SuppressSmallPT : public UserHooks   

suppress small-pT production for 2 → 2 processes 
only, while leaving other processes unaffected. The basic suppression 
factor is pT^4 / ((k*pT0)^2 + pT^2)^2, where pT 
refers to the current hard subprocess and pT0 is the same 
energy-dependent dampening scale as used for 
multiparton interactions. 
This class contains canModifySigma() and 
multiplySigmaBy() methods that overload the base class ones. 
 


SuppressSmallPT::SuppressSmallPT( double pT0timesMPI = 1., int numberAlphaS = 0, bool useSameAlphaSasMPI = true)   

 The optional arguments of the constructor provides further variability. 

argument pT0timesMPI   :  
corresponds to the additional factor k in the above formula. 
It is by default equal to 1 but can be used to explore deviations from 
the expected value. 
   

argument numberAlphaS   :  
if this number n is bigger than the default 0, the 
corresponding number of alpha_strong factors is also 
reweighted from the normal renormalization scale to a modified one, 
i.e. a further suppression factor 
( alpha_s((k*pT0)^2 + Q^2_ren) / alpha_s(Q^2_ren) )^n 
is introduced. 
   

argument useSameAlphaSasMPI   :  
regulates which kind of new alpha_strong value is evaluated 
for the numerator in the above expression. It is by default the same 
as set for multiparton interactions (i.e. same starting value at 
M_Z and same order of running), but if false 
instead the one for hard subprocesses. The denominator 
alpha_s(Q^2_ren) is always the value used for the "original", 
unweighted cross section. 
   
   
 

 
The second main case of the current section involves three methods, 
as follows. 
 


virtual bool UserHooks::canBiasSelection()   

In the base class this method returns false. If you redefine it 
to return true then the method biasSelectionBy(...) will 
allow you to modify the phase space sampling, with a compensating 
event weight, such that the cross section is unchanged. You cannot 
combine this kind of reweighting with the selection of 
a second hard process. 
   
 


virtual double UserHooks::biasSelectionBy( const SigmaProcess* sigmaProcessPtr, const PhaseSpace* phaseSpacePtr, bool inEvent)   

when called this method should provide the factor by which you want to 
see the phase space sampling of the current event modified. Events are 
assigned a weight being the inverse of this, such that the integrated 
cross section of a process is unchanged. Note that the selection 
is only modifiable for normal hard processes. It does not affect the 
selection in further multiparton interactions, nor in 
elastic/diffractive/minimum-bias events. 

argument sigmaProcessPtr, phaseSpacePtr   : : 
what makes this routine somewhat tricky to write is that the 
hard-process event has not yet been constructed, so one is restricted 
to use the information available in the phase-space and cross-section 
objects currently being accessed. Which of their  methods are applicable 
depends on the process, in particular the number of final-state particles. 
The biasSelectionBy code in UserHooks.cc 
contains explicit instructions about which methods provide meaningful 
information, and so offers a convenient starting point. 
   

argument inEvent   : : this flag is true when the method is 
called from within the event-generation machinery and false 
when it is called at the initialization stage of the run, when the 
cross section is explored to find a maximum for later Monte Carlo usage. 
Cross-section modifications should be independent of this flag, 
for consistency, but if biasSelectionBy(...) is used to 
collect statistics on the original kinematics distributions before cuts, 
then it is important to be able to exclude the initialization stage 
from comparisons. 
   
   
 


virtual double UserHooks::biasedSelectionWeight()   

Returns the weight you should assign to the event, to use e.g. when 
you histogram results. It is the exact inverse of the weight you 
used to modify the phase-space sampling, a weight that must be stored 
in the selBias member variable, such that this routine 
can return 1/selBias. The weight is also returned by the 
Info::weight() method, which may be more convenient to use. 
   
 

(vi) Reject the decay sequence of resonances
 
 
Resonance decays are performed already at the process level, as 
an integrated second step of the hard process itself. One reason is 
that the matrix element of many processes encode nontrivial decay 
angular distributions. Another is to have equivalence with Les Houches 
input, where resonance decays typically are provided from the onset. 
The methods in this section allow you to veto that decay sequence and 
try a new one. Unlike the veto of the whole process-level step, 
in point (i), the first step of the hard process is retained, i.e. 
where the resonances are produced. For this reason the cross section 
is not affected here but, depending on context, you may want to introduce 
your own counters to check how often a new set of decay modes and 
kinematics is selected, and correct accordingly. 
 

The main method below is applied after all decays. For the production 
of a t tbar pair this typically means after four decays, 
namely those of the t, the tbar, the W+ 
and the W-. If Les Houches events are processed, the rollback 
is to the level of the originally read events. For top, that might mean 
either to the tops, or to the W bosons, or no rollback at all, 
depending on how the process generation was set up. 
 


virtual bool UserHooks::canVetoResonanceDecays()   

In the base class this method returns false. If you redefine it 
to return true then the method doVetoResonanceDecays(...) 
will be called immediately after the resonance decays have been 
selected and stored in the process event record, 
as described above for canVetoProcessLevel(). 
   
 


virtual bool UserHooks::doVetoResonanceDecays(Event& process)   

can optionally be called, as described above. You can study the 
process event record of the hard process. 
Based on that you can decide whether to reject the sequence of 
resonance decays that was not already fixed by the production step 
of the hard process (which can vary depending on how a process has 
been set up, see above). If you veto, then a new resonance decay 
sequence is selected, but the production step remains unchanged. 
The cross section remains unaffected by this veto, for better or worse. 

Warning: Normally you should not modify the process 
event record. However, as an extreme measure, parts or the complete decay 
chain could be overwritten. If so, be very careful. 
   
  

(vii) Modify scale in shower evolution
 
 
The choice of maximum shower scale in resonance decays is normally not a 
big issue, since the shower here is expected to cover the full phase 
space. In some special cases a matching scheme is intended, where hard 
radiation is covered by matrix elements, and only softer by showers. The 
below two methods support such an approach. Note that the two methods 
are not used in the TimeShower class itself, but when 
showers are called from the PartonLevel generation. Thus 
user calls directly to TimeShower are not affected. 
 


virtual bool UserHooks::canSetResonanceScale()   

In the base class this method returns false. If you redefine it 
to return true then the method scaleResonance(...) 
will set the initial scale of downwards shower evolution. 
   
 


virtual double UserHooks::scaleResonance( int iRes, const Event& event)   

can optionally be called, as described above. You should return the maximum 
scale, in GeV, from which the shower evolution will begin. The base class 
method returns 0, i.e. gives no shower evolution at all. 
You can study, but not modify, the event event record 
of the partonic process to check which resonance is decaying, and into what. 

argument iRes   :  is the location in the event record of the 
resonance that decayed to the particles that now will shower. 
   

argument event   :  the event record contains a list of all partons 
generated so far, specifically the decaying resonance and its immediate 
decay products. 
   
   
  

(viii) Allow colour reconnection


PYTHIA contains only a limites set of possibilities for 
colour reconnection, and none of them 
are geared specifically towards rapidly decaying resonances. Notably,
with the default 
PartonLevel:earlyResDec = off,
resonances will only decay after colour reconnection has already been
considered. Thus a coloured parton like the top may be reconnected
but, apart from this external connection with the rest of the event,
the top decay products undergo no colour reconnection. 
For PartonLevel:earlyResDec = on the resonance will decay 
earlier, and thus the decay products may undergo reconnections, but not
necessarily by models that are specifically geared towards this kind of 
events. For tryout purposes, a user hook can be called directly after the 
resonance decays, and there modify the colour flow. This holds whether the 
resonance decay is handled early or late, but is especially appropriate
for the latter default possibility. While intended specifically for 
resonance decays, alternatively it is possible to switch off the built-in 
colour reconnection and here implement your own reconnection model 
for the whole event.



virtual bool UserHooks::canReconnectResonanceSystems()   

In the base class this method returns false. If you redefine it 
to return true then the method doReconnectResonanceSystems(...) 
will be called immediately after the resonance decays and their
associated final-state showers have been added to the event record.
   
 


virtual bool UserHooks::doReconnectResonanceSystems(int oldSizeEvent, Event& event)   

can optionally be called, as described above, to reconnect colours
in the event. The method should normally return true, but false if the 
colour-reconnected event is unphysical and to be rejected. 
(If this is likely to happen, having a safety copy to restore to
is a good idea, so that false can be avoided to the largest extent 
possible.)

argument oldSizeEvent   :  the size of the event record before 
resonance decay products and their associated final-state showers
have been added to the event. Can thus be used to easily separate 
the resonance-decay partons from those in the rest of the event.
   

argument event   :  the event record contains a list of all particles 
generated so far. You are allowed to freely modify this record, but with
freedom comes responsibility. Firstly, it is only meaningful to modify
the colour indices of final-state (at the time) partons; all other event
properties had better be left undisturbed. Secondly, it is up to you to
ensure that the new colour topology is meaningful, e.g. that no gluon
has obtained the same colour as anticolour index and thereby forms
a singlet on its own.  
   
   
 
 


 
 
pythia8-8.1.86.orig/htmldoc/EventAnalysis.html0000644000175000017500000013031212357553536017462 0ustar  sunsun

Event Analysis




 

Event Analysis
 
 

Introduction
 
 
The routines in this section are intended to be used to analyze 
event properties. As such they are not part of the main event 
generation chain, but can be used in comparisons between Monte 
Carlo events and real data. They are rather free-standing, but 
assume that input is provided in the PYTHIA 8 
Event format, and use a few basic facilities such 
as four-vectors. Their ordering is mainly by history; for current 
LHC applications the final one, SlowJet, is of 
special interest. 
 

 
In addition to the methods presented here, there is also the 
possibility to make use of external 
jet finders . 
 

Sphericity
 
 
The standard sphericity tensor is 

 
    S^{ab} = (sum_i p_i^a p_i^b) / (sum_i p_i^2) 

 
where the sum i runs over the particles in the event, 
a, b = x, y, z, and p without such an index is 
the absolute size of the three-momentum . This tensor can be 
diagonalized to find eigenvalues and eigenvectors. 
 

 
The above tensor can be generalized by introducing a power 
r, such that 

 
    S^{ab} = (sum_i p_i^a p_i^b p_i^{r-2}) / (sum_i p_i^r) 

 
In particular, r = 1 gives a linear dependence on momenta 
and thus a collinear safe definition, unlike sphericity. 
 

 
To do sphericity analyses you have to set up a Sphericity 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 


Sphericity::Sphericity(double power = 2., int select = 2)   

create a sphericity analysis object, where 

argument power  (default = 2.) :  
is the power r defined above, i.e. 

argumentoption  2. : gives Sphericity, and   

argumentoption  1. : gives the linear form.   
   

argument select  (default = 2) :  
tells which particles are analyzed, 

argumentoption  1 : all final-state particles,   

argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() 
particle method), and 
   

argumentoption  3 : only charged final-state particles.   
   
   
 


bool Sphericity::analyze( const Event& event, ostream& os = cout)   

perform a sphericity analysis, where 

argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

If the routine returns false the 
analysis failed, e.g. if too few particles are present to analyze. 
   
 

 
After the analysis has been performed, a few methods are available 
to return the result of the analysis of the latest event: 
 


double Sphericity::sphericity()   

gives the sphericity (or equivalent if r is not 2), 
   
 


double Sphericity::aplanarity()   

gives the aplanarity (with the same comment), 
   
 


double Sphericity::eigenValue(int i)   

gives one of the three eigenvalues for i = 1, 2 or 3, in 
descending order, 
   
 


Vec4 Sphericity::eventAxis(i)   

gives the matching normalized eigenvector, as a Vec4 
with vanishing time/energy component. 
   
 


void Sphericity::list(ostream& os = cout)   

provides a listing of the above information. 
   
 

 
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 


int Sphericity::nError()   

tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

Thrust
 
 
Thrust is obtained by varying the thrust axis so that the longitudinal 
momentum component projected onto it is maximized, and thrust itself is 
then defined as the sum of absolute longitudinal momenta divided by 
the sum of absolute momenta. The major axis is found correspondingly 
in the plane transverse to thrust, and the minor one is then defined 
to be transverse to both. Oblateness is the difference between the major 
and the minor values. 
 

 
The calculation of thrust is more computer-time-intensive than e.g. 
linear sphericity, introduced above, and has no specific advantages except 
historical precedent. In the PYTHIA 6 implementation the search was 
sped up at the price of then not being guaranteed to hit the absolute 
maximum. The current implementation studies all possibilities, but at 
the price of being slower, with time consumption for an event with 
n particles growing like n^3. 
 

 
To do thrust analyses you have to set up a Thrust 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 


Thrust::Thrust(int select = 2)   

create a thrust analysis object, where 

argument select  (default = 2) :  
tells which particles are analyzed, 

argumentoption  1 : all final-state particles,   

argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() 
particle method), and 
   

argumentoption  3 : only charged final-state particles.   
   
   
 


bool Thrust::analyze( const Event& event, ostream& os = cout)   

perform a thrust analysis, where 

argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

If the routine returns false the 
analysis failed, e.g. if too few particles are present to analyze. 
   
 

 
After the analysis has been performed, a few methods are available 
to return the result of the analysis of the latest event: 
 


double Thrust::thrust()   

   
double Thrust::tMajor()   

   
double Thrust::tMinor()   

   
double Thrust::oblateness()   

gives the thrust, major, minor and oblateness values, respectively, 
   
 


Vec4 Thrust::eventAxis(int i)   

gives the matching normalized event-axis vectors, for i = 1, 2 or 3 
corresponding to thrust, major or minor, as a Vec4 with 
vanishing time/energy component. 
   
 


void Thrust::list(ostream& os = cout)   

provides a listing of the above information. 
   
 

 
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 


int Thrust::nError()   

tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

ClusterJet
 
 
ClusterJet (a.k.a. LUCLUS and 
PYCLUS) is a clustering algorithm of the type used for 
analyses of e^+e^- events, see the PYTHIA 6 manual. All 
visible particles in the events are clustered into jets. A few options 
are available for some well-known distance measures. Cutoff 
distances can either be given in terms of a scaled quadratic quantity 
like y = pT^2/E^2 or an unscaled linear one like pT. 
 

 
Note that we have deliberately chosen not to include the e^+e^- 
equivalents of the Cambridge/Aachen and anti-kRT algorithms. 
These tend to be good at clustering the densely populated (in angle) 
cores of jets, but less successful for the sparsely populated transverse 
regions, where many jets may come to consist of a single low-momentum 
particle. In hadron collisions such jets could easily be disregarded, 
while in e^+e^- annihilation all particles derive back from the 
hard process. 
 

 
To do jet finding analyses you have to set up a ClusterJet 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 


ClusterJet::ClusterJet(string measure = "Lund", int select = 2, int massSet = 2, bool precluster = false, bool reassign = false)   

create a ClusterJet instance, where 

argument measure  (default = "Lund") : distance measure, 
to be provided as a character string (actually, only the first character 
is necessary) 

argumentoption  "Lund" : the Lund pT distance, 
   

argumentoption  "JADE" : the JADE mass distance, and 
   

argumentoption  "Durham" : the Durham kT measure. 
   
   

argument select  (default = 2) :  
tells which particles are analyzed, 

argumentoption  1 : all final-state particles,   

argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), and 
   

argumentoption  3 : only charged final-state particles.   
   

argument massSet  (default = 2) : masses assumed for the particles 
used in the analysis 

argumentoption  0 : all massless,   

argumentoption  1 : photons are massless while all others are 
assigned the pi+- mass, and 
   

argumentoption  2 : all given their correct masses.   
   

argument precluster  (default = false) :  
perform or not a early preclustering step, where nearby particles 
are lumped together so as to speed up the subsequent normal clustering. 
   

argument reassign  (default = false) :  
reassign all particles to the nearest jet each time after two jets 
have been joined. 
   
   
 


ClusterJet::analyze( const Event& event, double yScale, double pTscale, int nJetMin = 1, int nJetMax = 0, ostream& os = cout)   

performs a jet finding analysis, where 

argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

argument yScale   :  
is the cutoff joining scale, below which jets are joined. Is given 
in quadratic dimensionless quantities. Either yScale 
or pTscale must be set nonvanishing, and the larger of 
the two dictates the actual value. 
   

argument pTscale   :  
is the cutoff joining scale, below which jets are joined. Is given 
in linear quantities, such as pT or m depending on 
the measure used, but always in units of GeV. Either yScale 
or pTscale must be set nonvanishing, and the larger of 
the two dictates the actual value. 
   

argument nJetMin  (default = 1) :  
the minimum number of jets to be reconstructed. If used, it can override 
the yScale and pTscale values. 
   

argument nJetMax  (default = 0) :  
the maximum number of jets to be reconstructed. Is not used if below 
nJetMin. If used, it can override the yScale 
and pTscale values. Thus e.g. 
nJetMin = nJetMax = 3 can be used to reconstruct exactly 
3 jets. 
   

argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

If the routine returns false the analysis failed, 
e.g. because the number of particles was smaller than the minimum number 
of jets requested. 
   
 

 
After the analysis has been performed, a few ClusterJet 
class methods are available to return the result of the analysis: 
 


int ClusterJet::size()   

gives the number of jets found, with jets numbered 0 through 
size() - 1. 
   
 


Vec4 ClusterJet::p(int i)   

gives a Vec4 corresponding to the four-momentum defined by 
the sum of all the contributing particles to the i'th jet. 
   
 


int ClusterJet::mult(int i)   

the number of particles that have been clustered into the i'th jet. 
   
 


int ClusterJet::jetAssignment(int i)   

gives the index of the jet that the particle i of the event 
record belongs to, 
   
 


void ClusterJet::list(ostream& os = cout)   

provides a listing of the reconstructed jets. 
   
 


int ClusterJet::distanceSize()   

the number of most recent clustering scales that have been stored 
for readout with the next method. Normally this would be five, 
but less if fewer clustering steps occurred. 
   
 


double ClusterJet::distance(int i)   

clustering scales, with distance(0) being the most 
recent one, i.e. normally the highest, up to distance(4) 
being the fifth most recent. That is, with n being the final 
number of jets, ClusterJet::size(), the scales at which 
n+1 jets become n, n+2 become n+1, 
and so on till n+5 become n+4. Nonexisting clustering 
scales are returned as zero. The physical interpretation of a scale is 
as provided by the respective distance measure (Lund, JADE, Durham). 
   
 

 
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 


int ClusterJet::nError()   

tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

CellJet
 
 
CellJet (a.k.a. PYCELL) is a simple cone jet 
finder in the UA1 spirit, see the PYTHIA 6 manual. It works in an 
(eta, phi, eT) space, where eta is pseudorapidity, 
phi azimuthal angle and eT transverse energy. 
It will draw cones in R = sqrt(Delta-eta^2 + Delta-phi^2) 
around seed cells. If the total eT inside the cone exceeds 
the threshold, a jet is formed, and the cells are removed from further 
analysis. There are no split or merge procedures, so later-found jets 
may be missing some of the edge regions already used up by previous 
ones. Not all particles in the event are assigned to jets; leftovers 
may be viewed as belonging to beam remnants or the underlying event. 
It is not used by any experimental collaboration, but is closely 
related to the more recent and better theoretically motivated 
anti-kT algorithm [Cac08]. 
 

 
To do jet finding analyses you have to set up a CellJet 
instance, and then feed in events to it, one at a time. Especially note 
that, if you want to use the options where energies are smeared in 
order so emulate detector imperfections, you must hand in an external 
random number generator, preferably the one residing in the 
Pythia class. The results for the latest event are 
available as output from a few methods. 
 


CellJet::CellJet(double etaMax = 5., int nEta = 50, int nPhi = 32, int select = 2, int smear = 0, double resolution = 0.5, double upperCut = 2., double threshold = 0., Rndm* rndmPtr = 0)   

create a CellJet instance, where 

argument etaMax  (default = 5.) :  
the maximum +-pseudorapidity that the detector is assumed to cover. 
   

argument nEta  (default = 50) :  
the number of equal-sized bins that the +-etaMax range 
is assumed to be divided into. 
   

argument nPhi  (default = 32) :  
the number of equal-sized bins that the phi range 
+-pi is assumed to be divided into. 
   

argument select  (default = 2) :  
tells which particles are analyzed, 

argumentoption  1 : all final-state particles,   

argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), 
and   

argumentoption  3 : only charged final-state particles.   
   

argument smear  (default = 0) :  
strategy to smear the actual eT bin by bin, 

argumentoption  0 : no smearing,   

argumentoption  1 : smear the eT according to a Gaussian 
with width resolution * sqrt(eT), with the Gaussian truncated 
at 0 and upperCut * eT,   

argumentoption  2 : smear the e = eT * cosh(eta) according 
to a Gaussian with width resolution * sqrt(e), with the 
Gaussian truncated at 0 and upperCut * e.   
   

argument resolution  (default = 0.5) :  
see above. 
   

argument upperCut  (default = 2.) :  
see above. 
   

argument threshold  (default = 0 GeV) :  
completely neglect all bins with an eT < threshold. 
   

argument rndmPtr  (default = 0) :  
the random-number generator used to select the smearing described 
above. Must be handed in for smearing to be possible. If your 
Pythia class instance is named pythia, 
then &pythia.rndm would be the logical choice. 
   
   
 


bool CellJet::analyze( const Event& event, double eTjetMin = 20., double coneRadius = 0.7, double eTseed = 1.5, ostream& os = cout)   

performs a jet finding analysis, where 

argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

argument eTjetMin  (default = 20. GeV) :  
is the minimum transverse energy inside a cone for this to be 
accepted as a jet. 
   

argument coneRadius  (default = 0.7) :  
 is the size of the cone in (eta, phi) space drawn around 
the geometric center of the jet. 
   

argument eTseed  (default = 1.5 GeV) :  
the minimum eT in a cell for this to be acceptable as 
the trial center of a jet. 
   

argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

If the routine returns false the analysis failed, 
but currently this is not foreseen ever to happen. 
   
 

 
After the analysis has been performed, a few CellJet 
class methods are available to return the result of the analysis: 
 


int CellJet::size()   

gives the number of jets found, with jets numbered 0 through 
size() - 1, 
   
 


double CellJet::eT(i)   

gives the eT of the i'th jet, where jets have been 
ordered with decreasing eT values, 
   
 


double CellJet::etaCenter(int i)   

   
double CellJet::phiCenter(int i)   

gives the eta and phi coordinates of the geometrical 
center of the i'th jet, 
   
 


double CellJet::etaWeighted(int i)   

   
double CellJet::phiWeighted(int i)   

gives the eta and phi coordinates of the 
eT-weighted center of the i'th jet, 
   
 


int CellJet::multiplicity(int i)   

gives the number of particles clustered into the i'th jet, 
   
 


Vec4 CellJet::pMassless(int i)   

gives a Vec4 corresponding to the four-momentum defined 
by the eT and the weighted center of the i'th jet, 
   
 


Vec4 CellJet::pMassive(int i)   

gives a Vec4 corresponding to the four-momentum defined by 
the sum of all the contributing cells to the i'th jet, where 
each cell contributes a four-momentum as if all the eT is 
deposited in the center of the cell, 
   
 


double CellJet::m(int i)   

gives the invariant mass of the i'th jet, defined by the 
pMassive above, 
   
 


void CellJet::list()   

provides a listing of the above information (except pMassless, 
for reasons of space). 
   
 

 
There is also one method that returns information accumulated for all 
the events analyzed so far. 


int CellJet::nError()   

tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

SlowJet
 
 
SlowJet is a simple program for doing jet finding according 
to either of the kT, anti-kT, and Cambridge/Aachen 
algorithms, in a cylindrical coordinate frame. The name is obviously 
an homage to the FastJet program [Cac06, Cac12]. 
That package contains many more algorithms, with many more options, 
and, above all, is much faster. Therefore SlowJet 
is not so much intended for massive processing of data or Monte Carlo 
files as for simple first tests. Nevertheless, within the advertised 
capabilities of SlowJet, it has been checked to find 
identically the same jets as FastJet. The time consumption 
typically is around or below that to generate an LHC pp event 
in the first place, so is not prohibitive. But the time rises rapidly 
for large multiplicities, so obviously SlowJet can not 
be used for tricks like distributing a dense grid of pseudoparticles 
to be able to define jet areas, like FastJet can, and also 
not for events with much pileup or other noise. 
 

 
The recent introduction of fjcore, containing the core 
functionality of FastJet in a very much smaller package, 
has changed the conditions. It now is possible (even encouraged by the 
authors) to distribute the two fjcore files as part of the 
PYTHIA package. Therefore the SlowJet class doubles as a 
convenient front end to fjcore, managing the conversion 
back and forth between PYTHIA and FastJet variables. Some 
applications may still benefit from using the native codes, but the default 
now is to let SlowJet call on fjcore for the 
jet finding. 
 

 
The first step is to decide which particles should be included in the 
analysis, and with what four-momenta. The SlowJet constructor 
allows to pick a maximum pseudorapidity defined by the extent of the 
assumed detector, to pick among some standard options of which particles 
to analyze, and to allow for some standard mass assumptions, like that 
all charged particles have the pion mass. Obviously this is only a 
restricted set of possibilities. 
 

 
Full flexibility can be obtained by deriving from the base class 
SlowJetHook to write your own include method. 
This will be presented with one final-state particle at a time, and 
should return true for those particles that should be 
analyzed. It is also possible to return modified four-momenta and masses, 
to take into account detector smearing effects or particle identity 
misassignments, but you must respect E^2 - p^2 = m^2. 
 

 
Alternatively you can modify the event record itself, or a copy of it 
(if you want to keep the original intact). For instance, only final 
particles are considered in the analysis, i.e. particles with positive 
status code, so negative status code should then be assigned to those 
particles that you do not want to see analyzed. Again four-momenta and 
masses can be modified, subject to E^2 - p^2 = m^2. 
 

 
The jet reconstructions is then based on sequential recombination with 
progressive removal, using the E recombination scheme. To be 
more specific, the algorithm works as follows. 

     

  1. Each particle to be analyzed defines an original cluster. It has a 
well-defined four-momentum and mass at input. From this information the 
triplet (pT, y, phi) is calculated, i.e. the transverse momentum, 
rapidity and azimuthal angle of the cluster.
    2.  

  2. Define distance measures of all clusters i to the beam 

    d_iB = pT_i^2p
     
and of all pairs (i,j) relative to each other 

    d_ij = min( pT_i^2p, pT_j^2p) DeltaR_ij^2 / R^2 
     
where 

    DeltaR_ij^2 = (y_i - y_j)^2 + (phi_i - phi_j)^2.
     
The jet algorithm is determined by the user-selected p value, 
where p = -1 corresponds to the anti-kT one, 
p = 0 to the Cambridge/Aachen one and p = 1 to the 
kT one. Also R is chosen by the user, to give an 
approximate measure of the size of jets. However, note that jets need 
not have a circular shape in (y, phi) space, so R 
can not straight off be interpreted as a jet radius.
    3.  

  3. Find the smallest of all d_iB and d_ij.
    4.  

  4. If this is a d_iB then cluster i is removed from 
the clusters list and instead added to the jets list. 
Optionally, a pTjetMin requirement is imposed, where only 
clusters with pT > pTjetMin are added to the jets list. 
If so, some of the analyzed particles will not be part of any final 
jet.
    5.  

  5. If instead the smallest measure is a d_ij then the 
four-momenta of the i and j clusters are added 
to define a single new cluster. Convert this four-momentum to a new 
(pT, y, phi) triplet and update the list of d_iB 
and d_ij.
    6.  

  6. Return to step 3 until no clusters remain.
    7.  

 
 

 
To do jet finding analyses you first have to set up a SlowJet 
instance, where the arguments of the constructor specifies the details 
of the subsequent analyses. Thereafter you can feed in events to it, 
one at a time, and have them analyzed by the analyze method. 
Information on the resulting jets can be extracted by a few different methods. 
The minimal procedure only requires one call per event to do the analysis. 
We will begin by presenting it, and only afterwards some extensions. 
 


SlowJet::SlowJet(int power, double R, double pTjetMin = 0., double etaMax = 25., int select = 2, int massSet = 2, SlowJetHook* sjHookPtr = 0, bool useFJcore = true, bool useStandardR = true)   

create a SlowJet instance, where 

argument power   :  
tells (half) the power of the transverse-momentum dependence of the 
distance measure, 

argumentoption  -1 : the anti-kT algorithm,   

argumentoption  0 : the Cambridge/Aachen algorithm, and   

argumentoption  1 : the kT algorithm.   
   

argument R   :  
the R size parameter, which is crudely related to the radius of 
the jet cone in (y, phi) space around the center of the jet. 
   

argument pTjetMin  (default = 0.0 GeV) :  
the minimum transverse momentum required for a cluster 
to become a jet. By default all clusters become jets, and therefore 
all analyzed particles are assigned to a jet. 
For comparisons with perturbative QCD, however, it is only meaningful 
to consider jets with a significant pT. 
   

argument etaMax  (default = 25.) :  
the maximum +-pseudorapidity that the detector is assumed to cover. 
If you pick a value above 20 there is assumed to be full coverage 
(obviously only meaningful for theoretical studies). 
   

argument select  (default = 2) :  
tells which particles are analyzed, 

argumentoption  1 : all final-state particles,   

argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), 
and   

argumentoption  3 : only charged final-state particles.   
   

argument massSet  (default = 2) : masses assumed for the particles 
used in the analysis 

argumentoption  0 : all massless,   

argumentoption  1 : photons are massless while all others are 
assigned the pi+- mass, and 
   

argumentoption  2 : all given their correct masses.   
   

argument sjHookPtr  (default = 0) :  
gives the possibility to send in your own selection routine for which 
particles should be part of the analysis; see further below on the 
SlowJetHook class. If this pointer is sent in nonzero, 
etaMax and massSet are disregarded, 
and select only gives the basic selection, to which 
the user can add further requirements. 
   

argument useFJcore  (default = true) : choice of code used for finding 
the jets. Does not affect the outcome of the analysis, but only the speed, 
and some more specialized options. 

argumentoption  true : use the fjcore package of 
FastJet 3.0.5. 
   

argumentoption  false : use the native SlowJet implementation, 
which gives a slower jet finding, but allows some extra options of 
step-by-step jet joining. 
   
   

argument useStandardR  (default = true) : definition of R 
distance between two jets. This switch is only meaningful for 
useFJcore = false; within the fjcore package 
the standard option below is always used. 

argumentoption  true : standard, as described above, 
DeltaR_ij^2 = (y_i - y_j)^2 + (phi_i - phi_j)^2. 
   

argumentoption  false : alternative, 
DeltaR_ij^2 = 2 (cosh(y_i - y_j) - cos(phi_i - phi_j)), 
which corresponds to the rim of the "deformed cone" giving a constant 
invariant mass between the two partons considered (for fixed 
masses and transverse momenta). 
   
   
   
 


bool SlowJet::analyze( const Event& event)   

performs a jet finding analysis, where 

argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

If the routine returns false the analysis failed, 
but currently this is not foreseen ever to happen. 
   
 

 
After the analysis has been performed, a few SlowJet 
class methods are available to return the result of the analysis: 
 


int SlowJet::sizeOrig()   

gives the original number of particles (and thus clusters) that the 
analysis starts with. 
   
 


int SlowJet::sizeJet()   

gives the number of jets found, with jets numbered 0 through 
sizeJet() - 1, and ordered in terms of decreasing 
transverse momentum values w.r.t. the beam axis, 
   
 


double SlowJet::pT(i)   

gives the transverse momentum pT of the i'th jet, 
   
 


double SlowJet::y(int i)   

   
double SlowJet::phi(int i)   

gives the rapidity y and azimuthal angle phi 
of the center of the i'th jet (defined by the vector sum 
of constituent four-momenta), 
   
 


Vec4 SlowJet::p(int i)   

   
double SlowJet::m(int i)   

gives a Vec4 corresponding to the four-momentum 
sum of the particles assigned to the i'th jet, and 
the invariant mass of this four-vector, 
   
 


int SlowJet::multiplicity(int i)   

gives the number of particles clustered into the i'th jet, 
   
 


vector<int> SlowJet::constituents(int i)   

gives a list of the indices of the particles that have been 
clustered into the i'th jet, 
   
 


vector<int> SlowJet::clusConstituents(int i)   

gives a list of the indices of the particles that have been 
clustered into the i'th cluster, at the current stage of 
the clustering process,  
   
 


int SlowJet::jetAssignment(int i)   

gives the index of the jet that the particle i of the event 
record belongs to, or -1 if there is no jet containing particle 
i, 
   
 


void SlowJet::removeJet(int i)   

removes the i'th jet, 
   
 


void SlowJet::list()   

provides a listing of the basic jet information from above. 
   
 

 
These are the basic methods. For more sophisticated usage 
it is possible to trace the clustering, one step at a time. 
It requires the native jet finding code, useFJcore = false 
in the constructor. If so, the setup method should be used 
to read in the event and find the initial smallest distance. Each subsequent 
doStep will then do one cluster joining and find the new 
smallest distance. You can therefore interrogate which clusters will be 
joined next before the joining actually is performed. Alternatively you 
can take several steps in one go, or take steps down to a predetermined 
number of jets plus remaining clusters. 
 


bool SlowJet::setup( const Event& event)   

selects the particles to be analyzed, calculates initial distances, 
and finds the initial smallest distance. 

argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

If the routine returns false the setup failed, 
but currently this is not foreseen ever to happen. 
   
 


bool SlowJet::doStep()   

do the next step of the clustering. This can either be that two 
clusters are joined to one, or that a cluster is promoted to a jet 
(which is discarded if its pT value is below 
pTjetMin). 

The routine will only return false if there are no 
clusters left, or if useFJcore = true. 
   
 


bool SlowJet::doNSteps(int nStep)   

calls the doStep() method nStep times, 
if possible. Will return false if the list of clusters 
is emptied before then. The stored jet information is still perfectly 
fine; it is only the number of steps that is wrong. Will also return 
false if useFJcore = true. 
   
 


bool SlowJet::stopAtN(int nStop)   

calls the doStep() method until a total of nStop 
jet and cluster objects remain. Will return false if this 
is not possible, specifically if the number of objects already is smaller 
than nStop when the method is called. The stored jet and 
cluster information is still perfectly fine; it only does not have the 
expected multiplicity. Will also return false if 
useFJcore = true. 
   
 


int SlowJet::sizeAll()   

gives the total current number of jets and clusters. The jets are 
numbered 0 through sizeJet() - 1, while the clusters 
are numbered sizeJet() through sizeAll() - 1. 
(Internally jets and clusters are represented by two separate arrays, 
but are here presented in one flat range.) Note that the jets are ordered 
in decreasing pT, while the clusters are not ordered. 
When useFJcore = true there are no intermediate steps, and 
thus the number of clusters is zero (after jet finding). 
   
 

 
With this extension, the methods double pT(int i), 
double y(int i), double phi(int i), 
Vec4 p(int i), double m(int i) and 
int multiplicity(int i) can be used as before. 
Furthermore, list() generalizes 
 


void SlowJet::list(bool listAll = false, ostream& os = cout)   

provides a listing of the above information. 

argument listAll   :  lists both jets and clusters if true, 
else only jets. 
   
   
  

 
Three further methods can be used to check what will happen next. 
 


int SlowJet::iNext()   

   
int SlowJet::jNext()   

   
double SlowJet::dNext()   

if the next step is to join two clusters, then the methods give 
the (i,j, d_ij) values, if instead to promote 
a cluster to a jet then (i, -1, d_iB). 
If no clusters remain then (-1, -1, 0.). Note that 
the cluster numbers are offset as described above, i.e. they begin at 
sizeJet(), which of course easily could be subtracted off. 
Also note that the jet and cluster lists are (moderately) reshuffled 
in each new step. When useFJcore = true there are no 
intermediate steps, and thus these methods do not return meaningul 
information. 
   
  

 
Finally, and separately, the SlowJetHook class can be used 
for a more smart selection of which particles to include in the analysis. 
For instance, isolated and/or high-pT muons, electrons and 
photons should presumably be identified separately at an early stage, 
and then not clustered to jets. 
  

 
Technically, it works like with User Hooks. 
That is, PYTHIA contains the base class. You write a derived class. 
In the main program you create an instance of this class, and hand it 
in to SlowJet; in this case already as part of the 
constructor. 
 

 
The following methods should be defined in your derived class. 
 


SlowJetHook::SlowJetHook()   

   
virtual SlowJetHook::~SlowJetHook()   

the constructor and destructor need not do anything, and if so you 
need not write your own destructor. 
   
 


virtual bool SlowJetHook::include(int iSel, const Event& event, Vec4& pSel, double& mSel)   

is the main method that you will need to write. It will be called 
once for each final-state particle in an event, subject to the 
value of the select switch in the SlowJet 
constructor. The value select = 2 may be convenient 
since then you do not need to remove e.g. neutrinos yourself, but 
use select = 1 for full control. The method should then 
return true if you want to see particle included in the 
jet clustering, and false if not. 

argument iSel   : is the index in the event record of the 
currently studied particle. 
   

argument event   : is an object of the Event class, 
most likely the pythia.event one, where the currently 
studied particle is found. 
   

argument pSel   :  is at input the four-momentum of the 
currently studied particle. You can change the values, e.g. to take 
into account energy smearing in the detector, to define the initial 
cluster value, without corrupting the event record itself. 
   

argument mSel   :  is at input the mass of the currently studied 
particle. You can change the value, e.g. to take into account 
particle misidentification, to define the initial cluster value, 
without corrupting the event record itself. Note that the changes of 
pSel and mSel must be coordinated such that 
E^2 - p^2 = m^2 holds. 
   
   
 

 
It is also possible to define further methods of your own. 
One such could e.g. be called directly in the main program before the 
analyze method is called, to identify and bookkeep 
some event properties you may not want to reanalyze for each 
individual particle. 
 


 
 
pythia8-8.1.86.orig/htmldoc/FlavourSelection.html0000644000175000017500000004622612357553535020172 0ustar  sunsun

Flavour Selection




 

Flavour Selection
 
 
The StringFlav class handles the choice of a new flavour 
in the fragmentation process, and the production of a new hadron 
from a set of input flavours. It is mainly used by the string 
fragmentation machinery (including ministrings), but also e.g. 
in some particle decays and for some beam-remnant cases. The basic 
concepts are in agreement with [And83]. The baryon-sector 
implementation is based on the MSTJ(12)=3 option of 
PYTHIA 6, i.e. new SU(6) weights scheme with at most one popcorn meson. 
 

 
The relative production rates of different particle species is 
influenced by the parameters below. Some have only an impact on 
one specific quantity, but most directly or indirectly have 
consequences for many observables. Therefore the values to use have 
to be viewed in the context of a complete tune. 
 

New flavours
 
 
The main parameters of the selection of a new flavour are 
 

parm   StringFlav:probStoUD   
 (default = 0.19; minimum = 0.0; maximum = 1.0)

the suppression of s quark production relative to ordinary 
u or d one. 
   
 

parm   StringFlav:probQQtoQ   
 (default = 0.09; minimum = 0.0; maximum = 1.0)

the suppression of diquark production relative to quark production, 
i.e. of baryon relative to meson production. 
   
 

parm   StringFlav:probSQtoQQ   
 (default = 1.00; minimum = 0.0; maximum = 1.0)

the suppression of strange diquark production relative to light 
diquark production, over and above the one already given by 
probStoU. 
   
  

parm   StringFlav:probQQ1toQQ0   
 (default = 0.027; minimum = 0.0; maximum = 1.0)

the suppression of spin 1 diquark production relative to spin 0 one, 
apart from the factor of 3 enhancement of spin 1 from counting the 
number of states. 
   


pvec   StringFlav:probQQ1toQQ0join   
 (default = 0.5,0.7,0.9,1.0; minimum = 0.0; maximum = 1.0)

when two already produced quarks are to be combined to a diquark,
e.g. in the junction framework, these numbers give the suppression 
of spin 1 diquark production relative to spin 0 one, apart from the 
factor of 3 enhancement of spin 1 from counting the number of states.
The four components give the suppression when the heaviest quark is
u/d, s, c or b, respectively.
These parameters are seldom used and currently not constrained by any 
data, so very much a guesswork.
   
 

Standard-meson production
 
 
The bulk of the particle production corresponds to the lowest-lying 
pseudoscalar and vector multiplets. Their production rates are 
determined by the parameters in this section. 
 

 
For a given set of flavours, produced according to the probabilities 
outlined above, the ratio of vector-to-pseudocalar meson production 
is described by the parameters below. 
The maximum allowed rate for each case has been set according to 
spin-counting rules, but we expect the real rates to be lower, 
especially for lighter mesons, owing to the vector-pseudoscalar 
mass splitting. 
 

parm   StringFlav:mesonUDvector   
 (default = 0.62; minimum = 0.; maximum = 3.)

the relative production ratio vector/pseudoscalar for light 
(u, d) mesons. 
   

parm   StringFlav:mesonSvector   
 (default = 0.725; minimum = 0.; maximum = 3.)

the relative production ratio vector/pseudoscalar for strange mesons. 
   

parm   StringFlav:mesonCvector   
 (default = 1.06; minimum = 0.; maximum = 3.)

the relative production ratio vector/pseudoscalar for charm mesons. 
   

parm   StringFlav:mesonBvector   
 (default = 3.0; minimum = 0.; maximum = 3.)

the relative production ratio vector/pseudoscalar for bottom mesons. 
   
 

 
Inside each light-quark meson nonet, an octet-singlet mixing angle 
describes the mixing of the two flavour-diagonal isoscalar = 0 states. 
(For terminology and details see [Yao06], chapter 14 on the 
quark model.) 
This angle is needed to specify the probability for such a q qbar 
state to project onto a specific meson. More transparent formulae are 
obtained by introducing the angle alpha = theta + 54.7 degrees: 

 
   f  = (uubar + ddbar)/sqrt(2) * sin(alpha) + ssbar * cos(alpha)
 
   f' = (uubar + ddbar)/sqrt(2) * cos(alpha) - ssbar * sin(alpha) 

 
 

parm   StringFlav:thetaPS   
 (default = -15.; minimum = -90.; maximum = 90.)

gives the mixing angle theta_PS in the pseudoscalar meson sector 
(which is rather poorly determined), expressed in degrees. 
Here f is associated with eta' and f' with 
eta. (This standard but counterintuitive choice is fixed up 
in the code by replacing alpha → 90^0 - alpha so that 
eta ↔ eta'; relative signs do not matter since we are 
interested in probabilities only.) 
   
 

parm   StringFlav:thetaV   
 (default = 36.; minimum = -90.; maximum = 90.)

gives the mixing angle theta_V in the vector meson sector 
(which is somewhat better determined), expressed in degrees. 
Here f is associated with omega and f' 
with phi. 
   
 

 
Further, the simple model overestimates the production of eta 
and, in particular, eta' mesons, which can be rectified by 
 

parm   StringFlav:etaSup   
 (default = 0.63; minimum = 0.; maximum = 1.)

the additional suppression of eta production, multiplying the 
normal production probability. Thus 0 means no eta at all 
are produced, while 1 means full rate. 
   
 

parm   StringFlav:etaPrimeSup   
 (default = 0.12; minimum = 0.; maximum = 1.)

the additional suppression of eta' production, multiplying the 
normal production probability. Thus 0 means no eta' at all 
are produced, while 1 means full rate. 
   
 

Excited-meson production
 
 
Several excited mesons, ie. with radial or orbital excitations, have been 
observed at non-negligible production rates. Extrapolated to all states 
a fair fraction of all particle production might proceed through such 
states. There are big uncertainties, however, since these excited 
mesons in many cases are extremely poorly known. This also means that 
the modeling of their production and decay is very primitive, and 
even that the inclusion of the production of such states may lead to a 
degraded agreement with data. Currently the default is that all such 
production is switched off. 
 

 
Parameters are provided to switch them on. By demand, this machinery 
has been made more flexible than in the past. Therefore one parameter is 
provided for each combination of heaviest flavour 
(u/d, s, c or b) and 
multiplet produced. In each case the production rate is normalized to 
that of the lowest-lying pseudoscalar of the same flavour content, as for 
the vector-meson rates introduced above. The multiplets available are the 
four obtained for one unit of orbital angular momentum, in the 
nonrelativistic classification. Using J to denote the sum of 
quark spin S and orbital angular momentum L, i.e. what 
would normally be called the spin of the meson, one has: 

     

  • a pseudovector multiplet with L=1, S=0, J=1;
    •  

  • a scalar multiplet with L=1, S=1, J=0;
    •  

  • a pseudovector multiplet with L=1, S=1, J=1;
    •  

  • a tensor multiplet with L=1, S=1, J=2.
    •  

 
 
The maximum allowed rate for each case has been set according to 
spin-counting rules, but we expect the real rates to be significantly 
lower, owing to mass suppression. 
 

parm   StringFlav:mesonUDL1S0J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for light (u, d) mesons. 
   
 

parm   StringFlav:mesonUDL1S1J0   
 (default = 0.0; minimum = 0.; maximum = 1.)

the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for light (u, d) mesons. 
   
 

parm   StringFlav:mesonUDL1S1J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for light (u, d) mesons. 
   
 

parm   StringFlav:mesonUDL1S1J2   
 (default = 0.0; minimum = 0.; maximum = 5.)

the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for light (u, d) mesons. 
   
 

parm   StringFlav:mesonSL1S0J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for strange mesons. 
   
 

parm   StringFlav:mesonSL1S1J0   
 (default = 0.0; minimum = 0.; maximum = 1.)

the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for strange mesons. 
   
 

parm   StringFlav:mesonSL1S1J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for strange mesons. 
   
 

parm   StringFlav:mesonSL1S1J2   
 (default = 0.0; minimum = 0.; maximum = 5.)

the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for strange mesons. 
   
 

parm   StringFlav:mesonCL1S0J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for charm mesons. 
   
 

parm   StringFlav:mesonCL1S1J0   
 (default = 0.0; minimum = 0.; maximum = 1.)

the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for charm mesons. 
   
 

parm   StringFlav:mesonCL1S1J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for charm mesons. 
   
 

parm   StringFlav:mesonCL1S1J2   
 (default = 0.0; minimum = 0.; maximum = 5.)

the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for charm mesons. 
   
 

parm   StringFlav:mesonBL1S0J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for bottom mesons. 
   
 

parm   StringFlav:mesonBL1S1J0   
 (default = 0.0; minimum = 0.; maximum = 1.)

the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for bottom mesons. 
   
 

parm   StringFlav:mesonBL1S1J1   
 (default = 0.0; minimum = 0.; maximum = 3.)

the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for bottom mesons. 
   
 

parm   StringFlav:mesonBL1S1J2   
 (default = 0.0; minimum = 0.; maximum = 5.)

the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for bottom mesons. 
   
 

 
In addition, an octet-singlet mixing angle is needed for each multiplet, 
as for the pseudoscalar and vector multiplets above. Only for the 
tensor multiplet does any determination exist; for the other multiplets 
default has been chose so that ssbar does not mix with the light 
quarks, and so that the ssbar state is the heavier of the two. 
 

parm   StringFlav:thetaL1S0J1   
 (default = 35.3; minimum = -90.; maximum = 90.)

gives the mixing angle theta in the (L=1,S=0,J=1) 
pseudovector meson sector, expressed in degrees. 
   
 

parm   StringFlav:thetaL1S1J0   
 (default = 35.3; minimum = -90.; maximum = 90.)

gives the mixing angle theta in the (L=1,S=1,J=0) 
scalar meson sector, expressed in degrees. 
   
 

parm   StringFlav:thetaL1S1J1   
 (default = 35.3; minimum = -90.; maximum = 90.)

gives the mixing angle theta in the (L=1,S=1,J=1) 
pseudovector meson sector, expressed in degrees. 
   
 

parm   StringFlav:thetaL1S1J2   
 (default = 28.0; minimum = -90.; maximum = 90.)

gives the mixing angle theta in the (L=1,S=1,J=2) 
tensor meson sector, expressed in degrees. 
   
 

Baryon production
 
 
The relative rate of baryon production is mainly given by the quark 
and diquark production parameters above, plus SU(6) Clebsch-Gordans. 
The one modifiable parameter related to these coefficients is 
 

parm   StringFlav:decupletSup   
 (default = 1.0; minimum = 0.0; maximum = 1.0)

the suppression, relative to default SU(6) factors, of decuplet 
baryon production. Default corresponds to no suppression, while 0 
corresponds to no decuplet production at all. 
   
 

 
In addition, if popcorn production is allowed, wherein a set of mesons 
(M) may be produced in between the baryon (B) and 
the antibaryon (Bbar), a set of further parameters is introduced. 
Currently only the simplest scenario is implemented, wherein at most 
one intermediate meson may be produced. 
 

parm   StringFlav:popcornRate   
 (default = 0.5; minimum = 0.; maximum = 2.0)

gives the relative rates of B Bbar and B M Bbar 
production, roughly as 

 
Prob(B M Bbar) / (Prob(B Bbar) + Prob(B M Bbar)) = 
popcornRate / (0.5 + popcornRate) 

 
(the complete expression depends on all the quark and diquark production 
parameters and is therefore not so useful). 
   
 

parm   StringFlav:popcornSpair   
 (default = 0.5; minimum = 0.; maximum = 1.0)

extra suppression for having an s sbar pair shared between 
the B and Bbar in a B M Bbar configuration. 
   
 

parm   StringFlav:popcornSmeson   
 (default = 0.5; minimum = 0.; maximum = 1.0)

extra suppression for having a strange meson M in a 
B M Bbar configuration. 
   
 

 
Finally, there are some indications that leading-baryon production 
may be further suppressed. A proper description should probably be 
based on a suppression of early production times [Ede97], 
but we here only implement a simpler version where production near 
the end of a string, as defined by rank, is suppressed. The more 
detailed studies suggest that leading c and b baryon 
production will be less suppressed, so we leave it open to set 
light- and heavy-baryon suppression separately. 
 

flag   StringFlav:suppressLeadingB   
 (default = off)

Suppress leading-baryon production. 

option  off : No suppression.   

option  on : Suppress the production of a diquark in the string 
breaking closest to a quark end of a string, by either of the factors 
below. This suppresses the production of first-rank baryons by the same 
amount. Indirectly also the second-rank and, if popcorn production is 
switched on, third-rank (anti)baryon production is affected.    
   
  

parm   StringFlav:lightLeadingBSup   
 (default = 0.5; minimum = 0.; maximum = 1.0)

extra suppression of leading-baryon production for a light-quark 
jet, i.e. d, u or s, when 
suppressLeadingB = on. Thus 0 means no leading-baryon 
production at all, while 1 means full rate. 
   
  

parm   StringFlav:heavyLeadingBSup   
 (default = 0.9; minimum = 0.; maximum = 1.0)

extra suppression of leading-baryon production for a heavy-quark 
jet, i.e. c or b, when 
suppressLeadingB = on. Thus 0 means no leading-baryon 
production at all, while 1 means full rate. 
   
   


 
 
pythia8-8.1.86.orig/htmldoc/Glossary.html0000644000175000017500000000612212357553536016501 0ustar  sunsun

Glossary




 

Glossary
 
 

 
 

BR
 

Beam Remnants; not much used since it may be confused with 
Branching Ratio
 
 

BSM
 

Beyond-the-Standard-Model physics, as a generic term for anything 
not contained within the SM
 
 

FSR
 

Final-State Radiation, implemented in terms of timelike showers
 
 

LHA
 

Les Houches Accord for user processes, describing which process-level 
information should be stored to allow further showering and hadronization 
of "skeleton" hard processes
 
 

LHAPDF
 

Les Houches Accord Parton Distribution Functions, originally a standard 
format for defining PDF's and later a library with such PDF's
 
 

LHEF
 

Les Houches Event File(s), a file format for storing LHA process and 
event information
 
 

ISR
 

Initial-State Radiation, implemented in terms of spacelike showers
 
 

MPI
 

Multiparton Interactions, i.e. several (more or less) independent 
parton-parton subcollisions as part of a hadron-hadron event (previously 
called MI for multiple interactions)
 
 

MSSM
 

Minimal Supersymmetric extension of the Standard Model
 
 

PDF
 

Parton Distribution Function (alternatively Parton Density 
Function)
 
 

PDG code
 

a scheme for assigning unique integers, particle identity codes, 
to known and hypothetical particles; code rules and tables are published 
in the RPP (see below).
 
 

pileup
 

several hadron-hadron collisions in a bunch crossing; not to 
be confused with MPI
 
 

RPP
 

Review of Particle Physics, the biannual review by the ParticleData Group 
(PDG) from which many Standard-Model parameter values and much particle data 
has been taken (but, given the poor data on many hadron resonances, a lot of 
extra (guess)work is needed)
 
 

setting
 

collectively used to denote all the boolean flag, 
integer mode, double-precision parm 
and string word variables that can be set by the user 
to steer the behaviour of a run; normally particle data are considered 
separately but clearly are closely related
 
 

SLHA
 

SUSY Les Houches Accord for interchange of mass and coupling information 
in SUSY scenarios, via a well-defined file format
 
 

SM
 

the Standard Model of particle physics
 
 

SUSY
 

SUperSYmmetry
 
 

units
 

Normal PYTHIA input, internal operations and output is based on a set of 
standard units, such as: 

GeV for all energies, momenta and masses, always with c = 1; 

mm for all distances and mm/c for all times, 
so that again they match for c = 1; 

mb for all cross sections (but input or output via the Les Houches 
Accord takes into account that the unit there is pb) 

 
 

 
 


 
 
pythia8-8.1.86.orig/htmldoc/SampleMainPrograms.html0000644000175000017500000004055212357553535020443 0ustar  sunsun

Sample Main Programs




 

Sample Main Programs
 
 
Descriptions of available classes, methods and settings are all 
very good and useful. Ultimately they are necessary for you to 
be able to fine-tune your runs to the task at hand. To get going, 
however, nothing helps like having explicit examples to study. 
This is what is provided in the examples subdirectory, 
along with instructions how they should be run: 

     
 

  • main00.cc : does not exist, but it has been defined 
in the Makefile, so this name could be used for a simple 
first test run. 
 

  • main01.cc : a simple study of the charged multiplicity 
for jet events at the LHC. (Brief example fitting on one slide.)
    •  
 

  • main02.cc : a simple study of the pT spectrum 
of Z bosons at the Tevatron. (Brief example fitting on one slide.)
    •  
 

  • main03.cc : a simple study of several different kinds 
of events, with the choice to be made in the main03.cmnd 
"cards file".
    •  
 

  • main04.cc : tests of cross sections, multiplicities and 
average transverse momenta for elastic, diffractive and nondiffractive 
topologies, using main04.cmnd to pick processes.
    •  
 

  • main05.cc : generation of QCD jet events at the LHC, 
with jet analysis using the SlowJet inclusive anti-kT 
sequential-recombination finder and the CellJet 
cone-jet finder.
    •  
 

  • main06.cc : generation of LEP1 hadronic events, i.e. 
e^+e^- → gamma*/Z^0 → q qbar, with charged multiplicity, 
sphericity, thrust and jet analysis.
    •  
 

  • main07.cc : set up a fictitious production process 
to a generic resonance, where you easily can compose your own list 
of (two-body) decay modes to a variety of final states. Also traces 
decay chains down to truly stable particles: gamma, e+-, p/pbar and 
neutrinos. Suitable for astroparticle applications, like neutralino 
pair annihilation, where cross sections are calculated separately 
in another program.
    •  
 

  • main08.cc : generation of the QCD jet cross section 
biased towards higher pT values, by two different techniques. 
Firstly, by splitting the run into subruns, each in its own pT 
bin, and adding the results properly reweighted. Two suboptions, with 
limits set either in the main program or by subrun specification in the 
main08.cmnd file. Secondly, by a continuous reweighting 
with a pT^4 bias in the selection, compensated by a 
1/pT^4 event weight. Also inclusion of soft processes is 
illustrated, with subruns and weighted events.
    •  
 

  • main09.cc : generation of two predetermined hard 
interactions in each event.
    •  
 

  • main10.cc : illustration how userHooks can be used 
interact directly with the event-generation process.
    •  
 

  • main11.cc : a study of top events, fed in from the 
Les Houches Event File ttbar.lhe, here generated by 
PYTHIA 6.4. This file currently only contains 100 events 
so as not to make the distributed PYTHIA package too big, and so serves 
mainly as a demonstration of the principles involved. 
    •  
 

  • main12.cc : a more sophisticated variant of 
main11.cc, where two Les Houches Event Files 
(ttbar.lhe and ttbar2.lhe) successively 
are used as input. Also illustrating some other aspects, like the 
capability to mix in internally generated events.
    •  
 

  • main13.cc : a streamlined version of 
main12.cc, where two Les Houches Event Files 
(ttbar.lhe and ttbar2.lhe) successively 
are used as input in main13.cmnd file.
    •  
 

  • main14.cc : a systematic comparison of several 
cross section values with their corresponding values in PYTHIA 6.4, 
the latter available as a table in the code.
    •  
 

  • main15.cc : loop over several tries, either to redo 
B decays only or to redo the complete hadronization chain of an event. 
Since much of the generation process is only made once this is a way 
to increase efficiency.
    •  
 

  • main16.cc : put all user analysis code into a class 
of its own, separate from the main program; provide the "cards file" 
name as a command-line argument. Also exemplifies how Higgs mass, 
width and branching ratios can be set by hand.
    •  
 

  • main17.cc : shows (a) how to use UserHooks to 
regularize onium cross section for pT → 0, and (b) how decays 
could be handled externally.
    •  
 

  • main18.cc : shows how to write an event filter class, 
where you keep a vector of pointers to the subset of particles you 
want to study further. The event record itself remains unchanged.
    •  
 

  • main19.cc : use several instances of Pythia, one for 
signal events and others for a variable number of pileup and "beam-gas" 
events, combined into one common event record.
    •  
 

  • main20.cc : shows how PYTHIA 8 can write a Les Houches 
Event File, using facilities potentially useful also for other programs 
to write an LHEF.
    •  
 

  • main21.cc : an example how a single particle or various 
parton-level configurations can be input directly for hadronization, 
without being tied to the full process-generation machinery, e.g. to 
study the hadronization of junction topologies. Can also be used for 
single-resonance decays, with showers.
    •  
 

  • main22.cc : shows how an external resonance can be 
implemented as a new class derived from a PYTHIA base class, and be 
used in an external process, both of them handed in for generation 
as with normal internal classes.
    •  
 

  • main23.cc : shows how an external beam momentum spread 
and vertex location generator can be implemented as a new class derived 
from a PYTHIA base class, and then handed in for internal use. 
Also how to use an external random-number generator and an external 
parton distribution set.
    •  
 

  • main24.cc : tests of internally implemented cross sections 
for Supersymmetric particle production, with SUSY spectrum defined in 
cmssm.spc and settings in main24.cmnd. For 
illustration, an alternative example spectrum is also 
available, sps1aWithDecays.spc, which contains a decay 
table in SLHA format.
    •  
 

  • main25.cc : input RPV-SUSY events from an LHEF file that 
contains an SLHA spectrum inside its header. The event file, 
main25.lhe, contains a sample events that 
illustrate how to arrange color tags in the presence of the 
color-space epsilon tensors that accompany baryon number violating 
event topologies. 
    •  
 

  • main26.cc : test program for processes in scenarios 
with large extra dimensions or unparticles. 
    •  
 

  • main27.cc : production of Kaluza-Klein gamma/Z 
states in TeV-sized extra dimensions. 
    •  
 

  • main28.cc : production of long-lived R-hadrons, that 
are forced to decay at a separate vertices and possibly with changed 
momenta.
    •  
 

  • main31.cc : exemplifies an improved matching of 
parton showers to LHEF-style input based on the 
POWHEG approach. 
The main31.cmnd allows to switch between several 
different matching options. It also allows to select input process, 
in this case either for the POWHEG-hvq program applied to top 
pair production [Cor10] or for QCD 2+3-jet events. The small 
samples of input events are stored in the powheg-hvq.lhe 
and powheg-dijets.lhe files, respectively. 

    •  
 

  • main32.cc : exemplifies MLM merging, either in the 
ALPGEN variant or in the Madgraph one, and with input events either 
from ALPGEN or from Madgraph, with relevant control cards stored in 
main32.cmnd. See Jet Matching 
for further details. Traditionally the ALPGEN output is 
split into one file with events and another with parameters and cross 
sections (unlike in LHEF). Here a sample of W + 3 jets events 
is stored in main32.unw and the parameters to go with it 
in main32_unw.par. Madgraph events are taken from the 
w+_production_lhc_2.lhe file in this case. 

    •  
 

  • main41.cc : similar to main01, except that 
the event record is output in the HepMC event record format. Requires that 
HepMC is properly linked. Note that the hepmcout41.dat output 
file can become quite big; so no example is included in this 
distribution.
    •  
 

  • main42.cc : a streamlined version for the generation 
of events that are then stored in HepMC format, without any event 
analysis. That is, all physics studies will have to be done afterwards. 
The name of the input "cards file" (e.g. main42.cmnd) 
and output HepMC event file (e.g. hepmcout42.dat) are to 
be provided as command-line arguments. Requires that HepMC is properly 
linked. Note that the HepMC output file can become quite big; so no 
example is included in this distribution.
    •  
 

  • main46.cc : illustrates how to write a ProMC file with 
PYTHIA events. Note that this example cannot (yet) be built by the PYTHIA 
Makefile, but a relevant Makefile is available on the ProMC webpage 
http://atlaswww.hep.anl.gov/asc/promc/.
    •  
 

  • main51.cc : a test of the shape of parton densities, 
as a check prior to using a given PDF set in a generator.  Requires 
that LHAPDF is properly linked.
    •  
 

  • main52.cc : compares the charged multiplicity 
distribution, and a few other minimum-bias physics aspects, between 
default PYTHIA PDF and another one. Requires that LHAPDF is properly 
linked.
    •  
 

  • main53.cc : tests the possibility to do backwards 
evolution from an incoming photon at the hard interaction. Requires 
that you link to a LHAPDF set that includes the photon PDF.
    •  
 

  • main54.cc : compares the internal and LHAPDF 
implementations of the NNPDF 2.3 QCD+QED sets, for results and for 
timing. Requires that LHAPDF is properly linked.
    •  
 

  • main61.cc : a streamlined version for the generation 
of events that are then stored in HepMC format, without any event 
analysis. That is, just like main42.cc, with the difference 
that main61.cc can be used in conjunction with LHAPDF. 
The name of the input "cards file" (e.g. main61.cmnd) 
and output HepMC event file (e.g. hepmcout61.dat) are to 
be provided as command-line arguments. Requires that HepMC and LHAPDF 
are properly linked. Note that the HepMC output file can become quite 
big; so no example is included in this distribution.
    •  
 

  • main62.cc : a further extension of main61.cc, 
where subruns are used to process several consecutive LHEF, 
as in main13.cc, with information stored e.g in 
main62.cmnd. Other comments as for main61.cc.
    •  
 

  • main71.cc : an example how the FastJet jet finding 
package can be linked to allow an analysis of the final state, 
in this case for a study of W + jet production.
    •  
 

  • main72.cc : a comparison of SlowJet and FastJet 
jet finding, showing that they find the same jets if run under 
identical conditions, in this case for QCD jets.
    •  
 

  • main80.cc : do CKKW-L merging with a merging scale 
defined in kT. Input is provided by the main80.cmnd 
file and input LHE files. Very basic and pedagogical setup, suitable 
for tutorials.
    •  
 

  • main81.cc : do CKKW-L merging with a merging scale 
defined in kT. Input is provided by the main81.cmnd 
file and the three data files w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe and w+_production_lhc_2.lhe. 

    •  
 

  • main82.cc : do CKKW-L merging with a user-defined 
merging scale function. Input is provided by the main82.cmnd 
file and the three data files w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe and w+_production_lhc_2.lhe. 

    •  
 

  • main83.cc : as main82.cc but with an 
additional cut on the lowest multiplicity allowed for the reclustered 
state. The same input as for main82.cc can be used. 

    •  
 

  • main84.cc : do CKKW-L merging with output in such a way 
that it can be used in subsequent RIVET analyses. Input is provided by 
the main84.cmnd file and the three data files 
w+_production_lhc_0.lhe, w+_production_lhc_1.lhe 
and w+_production_lhc_2.lhe. 

    •  
 

  • main85.cc : do CKKW-L merging, with HepMC event output. Input 
settings are provided by the main85.cmnd file. This example 
program allows the use of input Les Houches events that are regularised with 
only very minimal cuts, and on which Pythia itself should enforce the more 
restrictive merging scale cut. The example program can be used with the input 
files w_production_tree_0.lhe, 
w_production_tree_1.lhe and w_production_tree_2.lhe. 

    •  
 

  • main86.cc : do unitarised ME+PS (UMEPS) merging, with HepMC 
event output. Input settings are provided by the main86.cmnd 
file. This example program allows the consistent use of input Les Houches 
events that are regularised with only very minimal cuts, similar to 
main85.cc. The example program can be used with the input files 
w_production_tree_0.lhe, w_production_tree_1.lhe 
and w_production_tree_2.lhe. 
The program will produce positively and negatively weighted events. 
See UMEPS Merging for further details. 

    •  
 

  • main87.cc : do NL3 NLO merging, with inclusive 
NLO input, and with HepMC event output. Input settings are provided by 
the main87.cmnd file. This example program allows the consistent 
use of input Les Houches events that are regularised with only very minimal 
cuts, similar to main85.cc. The example program can be 
used with the tree-level input files w_production_tree_0.lhe, 
w_production_tree_1.lhe, w_production_tree_2.lhe and 
the inclusive POWHEG input files w_production_powheg_0.lhe, 
w_production_powheg_1.lhe. 
The program will produce positively and negatively weighted events. 
See NLO Merging (NL3 section) for 
further details. 

    •  
 

  • main88.cc : do unitarised NLO+PS (UNLOPS) merging, with 
inclusive NLO input, and with HepMC event output. Input settings are provided 
by the main88.cmnd file. This example program allows the 
consistent use of input Les Houches events that are regularised with only very 
minimal cuts, similar to main85.cc. The example program can be 
used with the tree-level input files w_production_tree_0.lhe, 
w_production_tree_1.lhe, w_production_tree_2.lhe and 
the inclusive POWHEG input files w_production_powheg_0.lhe, 
w_production_powheg_1.lhe. 
The program will produce positively and negatively weighted events. 
See NLO Merging (UNLOPS section) for further 
details. 

    •  
 

 
 
In addition two main program illustrating the use of ROOT are available 
in the rootexamples subdirectory: 
  

     
 

  • hist.cc : shows how ROOT can be used for histogramming 
in a program that for the rest is structured like a normal PYTHIA run. 

    •  
 

  • tree.cc : shows how PYTHIA events can be stored as 
ROOT trees.
    •  
 

 
 
This subdirectory also contains a special Makefile and related 
documentation. 
 
 


 
 
pythia8-8.1.86.orig/htmldoc/SettingsScheme.html0000644000175000017500000005564612357553535017641 0ustar  sunsun

The Settings Scheme





The Settings Scheme
 
 
The Settings class keeps track of all the flags, modes, 
parameters and words used during the event generation. As such, it 
serves all the Pythia program elements from one central 
repository. Accessing it allows the user to modify the generator 
behaviour. 
 

 
Each Pythia object has a public member settings 
of the Settings class. Therefore you access the 
settings methods as pythia.settings.command(argument), 
assuming that pythia is an instance of the Pythia 
class. Further, for the most frequent user tasks, Pythia 
methods have been defined, so that pythia.command(argument) 
would work, see further below. 
 

 
The central section on this page is the Operation one. The preceding 
concepts section is there mainly to introduce the basic structure and 
the set of properties that can be accessed. The subsequent sections 
provide a complete listing of the existing public methods, which most 
users probably will have little interaction with. 
 

Concepts
 
 
We distinguish seven kinds of user-modifiable variables, by the way 
they have to be stored: 

     

  1. Flags are on/off switches, and are stored as bool.
    2.  

  2. Modes corresponds to a finite enumeration of separate options, 
and are stored as int.
    3.  

  3. Parameters take a continuum of values, and are stored as 
double. The shorthand notation parm is used in the C++ 
code and XML tags.
    4.  

  4. Words are simple character strings and are stored as 
string. No blanks or double quotation marks (") may 
appear inside a word, the former to simplify parsing of an input file 
and the latter not to cause conflicts with XML attribute delimiters. 
Currently the main application is to store file names.
    5.  

  5. Vectors of flags take a variable length, and are stored as 
vector<bool>. The shorthand notation fvec is used 
in the C++ code and XML tags. When the vector is input as a string, 
all the values have to be given as a comma-separated list with no blanks, 
to simplify parsing.
    6.  

  6. Vectors of modes take a variable length, and are stored as 
vector<int>. The shorthand notation mvec is used 
in the C++ code and XML tags. When the vector is input as a string, 
all the values have to be given as a comma-separated list with no blanks, 
to simplify parsing.
    7.  

  7. Vectors of parameters take a variable length and for each element 
a continuum of values, and are stored as vector<double>. 
The shorthand notation pvec is used in the C++ code and XML tag. 
When the vector is input as a string, all the values have to be given 
as a comma-separated list with no blanks, to simplify parsing.
    8.  

 
Note that all shorthands have been chosen four letters long. 
 

 
In general, each variable stored in Settings is associated 
with four kinds of information: 

     

  • The variable name, of the form class:name 
(or file:name, usually these agree), e.g. 
TimeShower:pTmin. The class/file part usually identifies 
the .xml file where the variable is defined, and the part of 
the program where it is used, but such a connection cannot be strictly 
upheld, since e.g. the same variable may be used in a few different 
cases (even if most of them are not).
    •  

  • The default value, set in the original declaration, and intended 
to represent a reasonable choice.
    •  

  • The current value, which differs from the default when the user so 
requests.
    •  

  • An allowed range of values, represented by meaningful 
minimum and maximum values. This has no sense for a flag,
an fvec or a word (and is not used there), is 
usually rather well-defined for a mode or mvec, 
but less so for a parm or pvec. Often the allowed 
range exaggerates the degree of our current knowledge, so as not to restrict 
too much what the user can do. One may choose not to set the lower or 
upper limit, in which case the range is open-ended.
    •  

 
 

 
Technically, the Settings class is implemented with the 
help of seven separate maps, one for each kind of variable, with the 
variable name used as key. 
 

Operation
 
     
The normal flow of setting values is: 
 

     
 

     
  1.  
When a Pythia object pythia is created, 
the member pythia.settings is asked to scan the files 
listed in the Index.xml file in the xmldoc 
subdirectory. 
 

     
In all of the files scanned, lines beginning with 
<flag, <mode, <parm, 
<word, <fvec, <mvec or 
<pvec are identified, and the information on such a line 
is used to define a new flag, mode, parameter, word, or vector of flags, 
modes or parameters. To exemplify, consider a line 

     
<parm name="TimeShower:pTmin" default="0.5" min="0.1" max="2.0"> 

     
which appears in the TimeShower.xml file, and there 
defines a parameter TimeShower:pTmin with default value 
0.5 GeV and allowed variation in the range 0.1 - 2.0 GeV. The min 
and max values are optional. 

    Important: the values in the .xml files should 
not be changed, except by the PYTHIA authors. Any changes should be 
done with the help of the methods described below. 

    2.  
 

     
  2.  
Between the creation of the Pythia object and the 
init call for it, you may use several alternative 
methods to modify some of the default values. The same variable 
can be changed several times. If so, it is the last read value 
that counts. The two special 
Tune:ee and 
Tune:pp modes and the 
Print:quiet flag 
are expanded to change several settings in one go, but these obey 
the same ordering rules. 
 

     
a) Inside your main program you can directly set values with 

     
    pythia.readString(string) 

     
where both the variable name and the value are contained inside 
the character string, separated by blanks and/or a =, e.g. 

     
    pythia.readString("TimeShower:pTmin = 1.0"); 

     
The match of the name to the database is case-insensitive. Names 
that do not match an existing variable are ignored. A warning is 
printed, however. Strings beginning with a non-alphanumeric character, 
like # or !, are assumed to be comments and are not processed at all. 
Values below the minimum or above the maximum are set at 
the respective border. For bool values, the following 
notation may be used interchangeably: 
true = on = yes = ok = 1, while everything else gives 
false (including but not limited to 
false, off, no and 0).
     
 

     
b) The Pythia readString(string) method 
actually does not do changes itself, but sends on the string either 
to the Settings class or to ParticleData. 
The former holds if the string begins with a letter, the latter 
if it begins with a digit. If desired, it is possible to communicate 
directly with the corresponding Settings method: 

     
    pythia.settings.readString("TimeShower:pTmin = 1.0"); 

     
In this case, changes intended for ParticleData 
would not be understood. 
 

     
c) Underlying the settings.readString(string) method are 
the settings-type-sensitive commands in the Settings, that 
are split by names containing flag, mode, 
parm or word. Thus, the example now reads 

     
    pythia.settings.parm("TimeShower:pTmin", 1.0); 

     
Such a form could be convenient e.g. if a parameter is calculated 
at the beginning of the main program, and thus is available as a 
variable rather than as a character string. 
Note that Boolean values must here be given as true or 
false i.e. there is less flexibility than with the 
previous methods. 
 

     
At the same level, there are several different methods available. 
These are included in the full description below, but normally the user 
should have no need for them. 
 

     
d) A simpler and more useful way is to collect all your changes 
in a separate file, with one line per change, e.g. 

     
    TimeShower:pTmin = 1.0 

     
Each line is read in as a string and processed with the methods already 
introduced. 
 
The file can be read by the 

     
    pythia.readFile(fileName); 

     
method (or an istream instead of a fileName). 
The file can freely mix commands to the Settings and 
ParticleData classes, and so is preferable. Lines with 
settings are handled by calls to the 
pythia.settings.readString(string) method. 
 

     
A file can make use of two extra features that are not available with the 
readString(...) method. One is the possibility to provide 
information for several distinct subruns.  
The other is the possibility to comment out a section of lines in the file. 
The first line of the commented section should then begin by /* 
and the last begin by */. This is reminiscent of the convention
used in C++ and other languages, but is not as powerful, in that it is not
possible to comment in or out parts of lines. It is only the first two 
non-blank characters of a line that are checked for a match, and a line
beginning with */ is counted as part of the commented section.  
To avoid mistakes it is best to keep /* and */ 
on lines of their own, optionally followed by comments, but not by commands.

    3.  
 

     
  3.  
In the pythia.init(...) call, many of the various other program 
elements are initialized, making use of the current values in the database. 
Once initialized, the common Settings database is likely not 
consulted again by these routines. It is therefore not productive to do 
further changes in mid-run: at best nothing changes, at worst you may 
set up inconsistencies. 
 

     
A routine reInit(fileName) is provided, and can be used to 
zero all the maps and reinitialize them from scratch. Such a call might be 
useful if several subruns are to be made with widely different parameter 
sets - normally the maps are only built from scratch once, namely when the 
Pythia() object is created. A more economical alternative is 
offered by resetAll(), however, which sets all variables back 
to their default values. 

    4.  
 

     
  4.  
You may at any time obtain a listing of all variables in the 
database by calling 

     
    pythia.settings.listAll(); 

     
The listing is strictly alphabetical, which at least means that names 
from the same file are kept together, but otherwise may not be so 
well-structured: important and unimportant ones will appear mixed. 
A more relevant alternative is 

     
    pythia.settings.listChanged(); 

     
where you will only get those variables that differ from their 
defaults. Or you can use 

     
    pythia.settings.list("string"); 

     
where only those variables with names that contain the string 
(case-insensitive match) are listed. Thus, with a string 
shower, the shower-related variables would be shown. 

    5.  
 

     
  5.  
The above listings are in a tabular form that cannot be read 
back in. Assuming you want to save all changed settings (maybe because 
you read in changes from several files), you can do that by calling 

     
    pythia.settings.writeFile(fileName); 

     
This file could then directly be read in by 
readFile(fileName) in a subsequent (identical) run. 
Some variants of this command are listed below. 

    6.  

 
 

Methods
 
 
The complete list of methods and arguments is as follows. Most of the 
ones of interest to the user have already been mentioned above. 
Others can be used, but the same functionality is better achieved 
by higher-level routines. Some are part of the internal machinery, 
and should not be touched by user. 
 

 
Note that there is no Settings::readFile(...) method. 
The intention is that you should use Pythia::readFile(...). 
It parses and decides which individual lines should be sent on to 
Settings::readString(...). 
 


Settings::Settings()   

the constructor, which takes no arguments. Internal. 
   
 


bool Settings::initPtr(Info* infoPtrIn)   

initialize pointer to error-message database. Internal. 
   
 


bool Settings::init(string startFile = "../xmldoc/Index.xml", bool append = false, ostream& os = cout)   

read in the settings database. 

argument startFile  (default = "../xmldoc/Index.xml") :  
read in the settings from all the files listed in this file, and 
assumed to be located in the same subdirectory. 
   

argument append  (default = false) :  
By default nothing is done if the method has already been called once. 
If true the further settings read in are added to the current database. 
   

argument os  (default = cout) :  
stream for error printout. 
   

Note: The method returns false if it fails. 
   
 


bool Settings::reInit(string startFile = "../xmldoc/Index.xml", ostream& os = cout)   

overwrite the existing database. 

argument startFile  (default = "../xmldoc/Index.xml") :  
read in the settings from all the files listed in this file, and 
assumed to be located in the same subdirectory. 
   

argument os  (default = cout) :  
stream for error printout. 
   

Note: The method returns false if it fails. 
   
 


bool Settings::readString(string line, bool warn = true, ostream& os = cout)   

read in a string, and change the relevant quantity in the database. 
It is normally used indirectly, via 
Pythia::readString(...) and 
Pythia::readFile(...). 

argument line   :  
the string to be interpreted as an instruction. 
   

argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. 
   

argument os  (default = cout) :  
stream for error printout. 
   

Note: the method returns false if it fails to 
make sense out of the input string. 
   
 


bool Settings::writeFile(string toFile, bool writeAll = false)   

   
bool Settings::writeFile(ostream& os = cout, bool writeAll = false)   

write current settings to a file or to an ostream. 

argument toFile, os   :  
file or stream on which settings are written. 
   

argument writeAll  (default = false) :  
normally only settings that have been changed are written, 
but if true then all settings are output. 
   

Note: the method returns false if it fails. 
   
 


void Settings::listAll(ostream& os = cout)   

   
void Settings::listChanged(ostream& os = cout)   

   
void Settings::list(string match, ostream& os = cout)   

list all or changed settings, or a group of them. 

argument match   :  
list all those settings where the name contains 
the match (sub)string (case-insensitive). 
   

argument os  (default = cout) :  
output stream for the listing. 
   
   
 


void Settings::resetAll()   

reset all current values to their defaults. 
   
 


bool Settings::isFlag(string key)   

   
bool Settings::isMode(string key)   

   
bool Settings::isParm(string key)   

   
bool Settings::isWord(string key)   

   
bool Settings::isFVec(string key)   

   
bool Settings::isMVec(string key)   

   
bool Settings::isPVec(string key)   

return true if an entry of the given name and kind 
exists, else false. 
   
 


void Settings::addFlag(string key, bool default)   

   
void Settings::addMode(string key, int default, bool hasMin, bool hasMax, int min, int max)   

   
void Settings::addParm(string key, double default, bool hasMin, bool hasMax, double min, double max)   

   
void Settings::addWord(string key, string default)   

   
void Settings::addFVec(string key, vector<bool> default)   

   
void Settings::addMVec(string key, vector<int> default, bool hasMin, bool hasMax, int min, int max)   

   
void Settings::addPVec(string key, vector<double> default, bool hasMin, bool hasMax, double min, double max)   

add an entry of the respective kind to the database. The name and default 
value(s) always has to be supplied, for Mode, Parm, 
MVec and PVec additionally if lower and/or 
upper limits are to be imposed and, if so, what those limit are. 
   
 


bool Settings::flag(string key)   

   
int Settings::mode(string key)   

   
double Settings::parm(string key)   

   
string Settings::word(string key)   

   
vector<bool> Settings::fvec(string key)   

   
vector<int> Settings::mvec(string key)   

   
vector<double> Settings::pvec(string key)   

return the current value(s) of the respective setting. If the name 
does not exist in the database, a value false, 
0, 0., " ", or a 
vector of length 1 and value false, 0 or 
0., respectively, is returned. 
   
 


bool Settings::flagDefault(string key)   

   
int Settings::modeDefault(string key)   

   
double Settings::parmDefault(string key)   

   
string Settings::wordDefault(string key)   

   
vector<bool> Settings::fvecDefault(string key)   

   
vector<int> Settings::mvecDefault(string key)   

   
vector<double> Settings::pvecDefault(string key)   

return the default value(s) of the respective setting. If the name 
does not exist in the database, a value false, 
0, 0., " ", or a 
vector of length 1 and value false, 0 or 
0., respectively, is returned. 
   
 


map Settings::getFlagMap(string match)   

   
map Settings::getModeMap(string match)   

   
map Settings::getParmMap(string match)   

   
map Settings::getWordMap(string match)   

   
map Settings::getFVecMap(string match)   

   
map Settings::getMVecMap(string match)   

   
map Settings::getPVecMap(string match)   

return a map of all settings of the respective type that contain the 
string "match" in its name. 
   
 


void Settings::flag(string key, bool now)   

   
void Settings::mode(string key, int now)   

   
void Settings::parm(string key, double now)   

   
void Settings::word(string key, string now)   

   
void Settings::fvec(string key, vector<bool> now)   

   
void Settings::mvec(string key, vector<int> now)   

   
void Settings::pvec(string key, vector<double> now)   

change the current value(s) of the respective setting to the provided 
new value(s). If lower or upper limits have been set, input values 
outside the allowed range are reinterpreted as being a the nearest 
limit. 
   
 


void Settings::forceMode(string key, int now)   

   
void Settings::forceParm(string key, double now)   

   
void Settings::forceMVec(string key, vector<int> now)   

   
void Settings::forcePVec(string key, vector<double> now)   

as above, but do not check lower and upper limits, so that the current 
value(s) can be put outside the intended borders. 
   
 


void Settings::resetFlag(string key)   

   
void Settings::resetMode(string key)   

   
void Settings::resetParm(string key)   

   
void Settings::resetWord(string key)   

   
void Settings::resetFVec(string key)   

   
void Settings::resetMVec(string key)   

   
void Settings::resetPVec(string key)   

reset the current value to the default one. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/SemiInternalResonances.html0000644000175000017500000002747212357553536021324 0ustar  sunsun

Semi-Internal Resonances




 

Semi-Internal Resonances
 
 
The introduction of a new  
semi-internal process may also involve a new particle, 
not currently implemented in PYTHIA. Often it is then enough to 
use the standard machinery 
to introduce a new particle (id:all = ...) and new 
decay channels (id:addChannel = ...). By default this 
only allows you to define a fixed total width and fixed branching 
ratios. Using meMode 
values 100 or bigger provides the possibility of a very 
simple threshold behaviour. 
 

 
If you want to have complete freedom, however, there are two 
ways to go. One is that you make the resonance decay part of the 
hard process itself, either using the 
Les Houches interface or 
a semi-internal process. The other is for you to create a new 
ResonanceWidths object, where you write the code 
needed for a calculation of the partial width of a particular 
channel. 
 

 
Here we will explain what is involved in setting up a resonance. 
Should you actually go ahead with this, it is strongly recommended 
to use an existing resonance as a template, to get the correct 
structure. There also exists a sample main program, 
main22.cc, that illustrates how you could combine 
a new process and a new resonance. 
 

 
There are three steps involved in implementing a new resonance: 

1) providing the standard particle information, as already 
outlined above (id:all = ..., 
id:addChannel = ...), except that now branching 
ratios need not be specified, since they anyway will be overwritten 
by the dynamically calculated values. 

2) writing the class that calculates the partial widths. 

3) handing in a pointer to an instance of this class to PYTHIA. 

We consider the latter two aspects in turn. 
 

The ResonanceWidths Class
 
 
The resonance-width calculation has to be encoded in a new class. 
The relevant code could either be put before the main program in the 
same file, or be stored separately, e.g. in a matched pair 
of .h and .cc files. The latter may be more 
convenient, in particular if the calculations are lengthy, or 
likely to be used in many different runs, but of course requires 
that these additional files are correctly compiled and linked. 
 

 
The class has to be derived  from the ResonanceWidths 
base class. It can implement a number of methods. The constructor 
and the calcWidth ones are always needed, while others 
are for convenience. Much of the administrative machinery is handled 
by methods in the base class. 
 

Thus, in particular, you must implement expressions for all 
possible final states, whether switched on in the current run or not, 
since all contribute to the total width needed in the denominator of 
the Breit-Wigner expression. Then the methods in the base class take 
care of selecting only allowed channels where that is required, and 
also of including effects of closed channels in secondary decays. 
These methods can be accessed indirectly via the 
res... 
methods of the normal 
particle database. 
 

 
A constructor for the derived class obviously must be available. 
Here you are quite free to allow a list of arguments, to set 
the parameters of your model. The constructor must call the 
base-class initBasic(idResIn) method, where the argument 
idResIn is the PDG-style identity code you have chosen 
for the new resonance. When you create several related resonances 
as instances of the same class you would naturally make 
idResIn an argument of the constructor; for the 
PYTHIA classes this convention is used also in cases when it is 
not needed. 

The initBasic(...) method will 
hook up the ResonanceWidths object with the corresponding 
entry in the generic particle database, i.e. with the normal particle 
information you set up in point 1) above. It will store, in base-class 
member variables, a number of quantities that you later may find useful: 

idRes : the identity code you provide; 

hasAntiRes : whether there is an antiparticle; 

mRes : resonance mass; 

GammaRes resonance width; 

m2Res : the squared mass; 

GamMRat : the ratio of width to mass. 
 

 
A destructor is only needed if you plan to delete the resonance 
before the natural end of the run, and require some special behaviour 
at that point. If you call such a destructor you will leave a pointer 
dangling inside the Pythia object you gave it in to, 
if that still exists. 
 


void ResonanceWidths::initConstants()   

is called once during initialization, and can then be used to set up 
further parameters specific to this particle species, such as couplings, 
and perform calculations that need not be repeated for each new event, 
thereby saving time. This method needs not be implemented. 
   
 


void ResonanceWidths::calcPreFac(bool calledFromInit = false)   

is called once a mass has been chosen for the resonance, but before 
a specific final state is considered. This routine can therefore 
be used to perform calculations that otherwise might have to be repeated 
over and over again in calcWidth below. It is optional 
whether you want to use this method, however, or put 
everything in calcWidth(). 

The optional argument will have the value true when 
the resonance is initialized, and then be false throughout 
the event generation, should you wish to make a distinction. 
In PYTHIA such a distinction is made for gamma^*/Z^0 and 
gamma^*/Z^0/Z'^0, owing to the necessity of a special 
description of interference effects, but not for other resonances. 

In addition to the base-class member variables already described 
above, mHat contains the current mass of the resonance. 
At initialization this agrees with the nominal mass mRes, 
but during the run it will not (in general). 
   
 


void ResonanceWidths::calcWidth(bool calledFromInit = false)   

is the key method for width calculations and returns a partial width 
value, as further described below. It is called for a specific 
final state, typically in a loop over all allowed final states, 
subsequent to the calcPreFac(...) call above. 
Information on the final state is stored in a number of base-class 
variables, for you to use in your calculations: 

iChannel : the channel number in the list of 
possible decay channels; 

mult : the number of decay products; 

id1, id2, id3 : the identity code of up to the first 
three decay products, arranged in descending order of the absolute value 
of the identity code; 

id1Abs, id2Abs, id3Abs : the absolute value of the 
above three identity codes; 

mHat : the current resonance mass, which is the same 
as in the latest calcPreFac(...) call; 

mf1, mf2, mf3 : masses of the above decay products; 

mr1, mr2, mr3 : squared ratio of the product masses 
to the resonance mass; 

ps : is only meaningful for two-body decays, where it 
gives the phase-space factor 
ps = sqrt( (1. - mr1 - mr2)^2 - 4. * mr1 * mr2 ); 

In two-body decays the third slot is zero for the above properties. 
Should there be more than three particles in the decay, you would have 
to take care of the subsequent products yourself, e.g. using 

particlePtr->decay[iChannel].product(j); 

to extract the j'th decay products (with 
j = 0 for the first, etc.). Currently we are not aware 
of any such examples. 

The base class also contains methods for alpha_em and 
alpha_strong evaluation, and can access many standard-model 
couplings; see the existing code for examples. 

The result of your calculation should be stored in 

widNow : the partial width of the current channel, 
expressed in GeV. 
   
 


double ResonanceWidths::widthChan( double mHat, int idAbs1, int idAbs2)   

is not normally used. In PYTHIA the only exception is Higgs decays, 
where it is used to define the width (except for colour factors) 
associated with a specific incoming/outgoing state. It allows the 
results of some loop expressions to be pretabulated. 
   
 


bool ResonanceWidths::allowCalc()   

can normally be left dummy (and then always returns true) but 
can optionally be used to determine whether to force dynamical width 
calculation to be switched off (return false). 
An example is provided by the 
SUSYResonanceWidths class, in which the implementation of 
this method checks for the existence of SLHA decay tables for the 
particular resonance in question, and checks if those tables should be 
given precedence over the internal width calculation. 
   
 


bool ResonanceWidths::initBSM()   

can normally be left dummy, but for advanced implementations it 
provides a possibility to initialize data members of the derived class 
at a very early stage during initialization, before any of the other 
members are called. An example is 
provided by the SUSYResonanceWidths class, in which 
an internal pointer to a derived Couplings class must be 
(re)set before any of the other methods are used. A return value of 
false can be used to signal that this 
initialization step failed. 
   
 

Access to resonance widths
 
 
Once you have implemented a class, it is straightforward to 
make use of it in a run. Assume you have written a new class 
MyResonance, which inherits from 
ResonanceWidths. You then create an instance of 
this class and hand it in to a pythia object with 

 
      ResonanceWidths* myResonance = new MyResonance(); 
      pythia.setResonancePtr( myResonance); 

 
If you have several resonances you can repeat the procedure any number 
of times. When pythia.init(...) is called these resonances 
are initialized along with all the internal resonances, and treated in 
exactly the same manner. See also the Program 
Flow 
description. 
 

 
If the code should be of good quality and general usefulness, 
it would be simple to include it as a permanently available process 
in the standard program distribution. The final step of that integration 
ought to be left for the PYTHIA authors, but basically all that is 
needed is to add one line in 
ParticleData::initResonances, where one creates an 
instance of the resonance in the same way as for the resonances already 
there. In addition, the particle data and decay table for the new 
resonance has to be added to the permanent 
particle database, and the code itself 
to include/ResonanceWidths.h and 
src/ResonanceWidths.cc. 
 


 
 
pythia8-8.1.86.orig/htmldoc/BeamShape.html0000644000175000017500000000720512357553536016526 0ustar  sunsun

Beam Shape




 

Beam Shape
 
 
The Beam Parameters 
page explains how you can set a momentum spread of the two incoming 
beams, and a spread and offset for the location of the interaction 
vertex. The spread is based on a simple parametrization in terms of 
independent Gaussians, however, which is likely to be too primitive 
for realistic applications. 
 

 
It is therefore possible to define your own class, derived from the 
BeamShape base class, and hand it in to Pythia with the 
 
pythia.setBeamShapePtr( BeamShape*) method. 
Below we describe what such a class has to do. An explicit toy example 
is shown in main23.cc. 
 

 
The BeamShape base class has a very simple structure. 
It only has two main virtual methods. The first, init(), is 
used for initialization. The second, pick(), selects 
beam momentum and production vertex in the current event. 
 


BeamShape::BeamShape()   

   
virtual BeamShape::~BeamShape()   

the constructor and destructor do not need to do anything. 
   
 


virtual void BeamShape::init( Settings& settings, Rndm* rndmPtrIn)   

the base-class method simply reads in the relevant values stored 
in the Settings data base, and saves a pointer to the 
random-number generator. You are free to write your own 
derived initialization routine, or use the existing one. In the 
latter case you can then give your own modified interpretation 
to the beam spread parameters defined there. 

The two flags Beams:allowMomentumSpread and 
Beams:allowVertexSpread should not be tampered with, 
however. These are checked elsewhere to determine whether the beam 
shape should be set or not, whereas the other momentum-spread 
and vertex-spread parameters are local to this class. 
   
 


virtual void BeamShape::pick()   

this method is the key one to supply in the derived class. Here you 
are free to pick whatever parametrization you desire for beam momenta 
and vertex position, including correlations between the two. 
At the end of the day, you should set a few protected 
double numbers: 

deltaPxA, deltaPyA, deltaPzA for the three-momentum 
shift of the first incoming beam, relative to the nominal values; 

deltaPxB, deltaPyB, deltaPzB for the three-momentum 
shift of the second incoming beam, relative to the nominal values; 

vertexX, vertexY, vertexZ, vertexT for the 
production-vertex position and time. 

As usual, momentum is given in GeV, and space and time in mm, 
with c = 1. 
   
 


Vec4 BeamShape::deltaPA()   

   
Vec4 BeamShape::deltaPB()   

read out the three-momentum shifts for beams A and B that were set by 
pick(). The energy components are put to zero at this stage, 
since they are most conveniently calculated after the original and the 
shift three-momenta have been added. 
   
 


Vec4 BeamShape::vertex()   

read out the production-vertex position and time that were set by 
pick(). 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/ErrorChecks.html0000644000175000017500000001156212357553536017114 0ustar  sunsun

Error Checks




 

Error Checks
 
 
There is a few settings related to error checking during program 
execution. Many other checks are performed as well, but do not 
have any specific setting related to themselves. 
 

flag   Check:abortIfVeto   
 (default = off)

There are a few ways in which an event can be vetoed, the most 
common being a User Hooks test. 
Normally this will simply mean that the next parton-level 
configuration is selected inside the Pythia::next() 
routine, without any need for a user intervention. With this 
option switched on, however, Pythia::next() will 
return false. It is then up to the user to decide 
what to do next. 
   
 

flag   Check:particleData   
 (default = off)

Check the particle data tables for potential problems during 
initialization. This includes inconsistent use of charge in particle 
names, inconsistent setup of mass, mass range, width and lifetime, 
sum of branching ratios not unity (allowed but discouraged) or charge 
not conserved in a decay channel. Warnings should be viewed as reasons 
to check further, but need not indicate a true problem, and also not all 
problems may be caught. 
The pythia.particleData.checkTable(level) method, 
used for these checks, may also be called directly. 
   
 

mode   Check:levelParticleData   
 (default = 1)

The level of verbosity and checks of particle data, if switched on. 

option  0 : minimal amount of checks, e.g. that no channels open. 
   

option  1 : further warning if individual channels closed, 
except for resonances.   

option  2 : also print branching-ratio-averaged threshold mass 
except for resonances.   

option  11 : as 1, but include resonances in detailed checks. 
   

option  12 : as 2, but include resonances in detailed checks. 
   
   
 

flag   Check:event   
 (default = on)

When an event has been successfully generated, check that the 
final event record in event does not contain any 
unphysical particles, or nonconserved charge or energy-momentum. 
If this check fails, then pythia.next() obtains the 
value false, i.e. the event is counted as aborted. 
   
 

flag   Check:history   
 (default = on)

When Check:event = on and the event is checked as above, 
further checks are made that all mother and daughter pointers are 
consistently set. Specifically that all daughters in the 
daughterlist (or motherList) have the 
particle in their respective motherList 
(or daughterlist). This operation takes a bit more 
time than the other error tests (of the order of 10% of what it takes 
to generate the event in the first place), and so could be switched off 
to save time. 
   
 
 

mode   Check:nErrList   
 (default = 0)

The number of erroneous events, in the above check, for which 
event listing and other detailed information will be printed. 
After that, only the normal error messages will be issued. 
Error counters are always updated, and accumulated numbers can be 
shown with pythia.statistics() at the end of the run. 
   
 

parm   Check:epTolErr   
 (default = 1e-4)

Maximum allowed summed deviation of E, p_x, 
p_y and p_z between the incoming beams and the 
final state, as a fraction of the initial energy, above which the 
event is counted as aborted. 
(Unfortunately roundoff errors do not scale linearly with the energy, 
and also have a very long tail. So while most events at lower energies 
may be correct to better than 1e-10, at LHC it does not have to signal 
any fundamental bug if also the default tolerance above is violated 
occasionally.) 
   
 

parm   Check:epTolWarn   
 (default = 1e-6)

A check on the same summed deviation as above, but counted as a 
warning rather than an error, and not leading to the event being 
classified as aborted. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/PartonDistributions.html0000644000175000017500000001507412357553536020732 0ustar  sunsun

Parton Distributions




 

Parton Distributions
 
 
The parton distributions file contains the PDF class. 
PDF is the base class, from which specific PDF 
classes are derived. 
 

 
The choice of which PDF to use is made by settings in the 
Pythia class, see here. 
These settings also allow to access all the proton PDF's available in the 
LHAPDF library [Wha05]. Thus there is no need for a normal user 
to study the PDF class. The structure must only be understood 
when interfacing new PDF's, e.g. ones not yet found in LHAPDF. 
 

The PDF base class
 
 
PDF defines the interface that all PDF classes should respect. 
The constructor requires the incoming beam species to be given: 
even if used for a proton PDF, one needs to know whether the beam 
is actually an antiproton. This is one of the reasons why Pythia 
always defines two PDF objects in an event, one for each beam. 
 

 
Once a PDF object has been constructed, call it pdf, 
the main method is pdf.xf( id, x, Q2), which returns 
x*f_id(x, Q2), properly taking into account whether the beam 
is an antiparticle or not. 
 

 
Whenever the xf member is called with a new flavour, x 
or Q^2, the xfUpdate member is called to do the actual 
updating. This routine may either update that particular flavour or all 
flavours at this (x, Q^2) point. (In the latter case the saved 
id value idSav should be set to 9.) The choice is 
to be made by the producer of a given set, based on what he/she deems most 
effective, given that sometimes only one flavour need be evaluated, and 
about equally often all flavours are needed at the same x and 
Q^2. Anyway, the latest value is always kept in memory. This is 
the other reason why Pythia has one separate PDF 
object for each beam, so that values at different x can be kept 
in memory. 
 

 
Two further public methods are xfVal( id, x, Q2) and 
xfSea( id, x, Q2). These are simple variants whereby 
the quark distributions can be subdivided into a valence and a sea part. 
If these are not directly accessible in the parametrization, one can 
make the simplified choices u_sea = ubar_sea, u_val = u_tot - u_sea, 
and correspondingly for d. (Positivity will always be guaranteed 
at output.) The xfUpdate method should also take care of 
updating this information. 
 

 
A method setExtrapolate(bool) allows you to switch between 
freezing parametrizations  at the x and Q^2 boundaries 
(false) or extrapolating them outside the boundaries 
(true). This method is only implemented for the LHAPDF class 
below. If you implement a new PDF you are free to use this method, but it 
would be smarter to hardcode the desired limiting behaviour. 
 

Derived classes
 
 
There is only one pure virtual method, xfUpdate, that 
therefore must be implemented in any derived class. A reasonable 
number of such classes come with the program: 
 

 
For protons: 

     

  • LHAPDFinterface provides an interface to the 
LHAPDF library[Wha05].
    •  

  • GRV94L gives the GRV 94 L parametrization 
[Glu95].
    •  

  • CTEQ5L gives the CTEQ 5 L parametrization 
[Lai00].
    •  

  • MSTWpdf gives the four distributions of the 
MRST/MSTW group that have been implemented.
    •  

  • CTEQ6pdf gives the six distributions of the 
CTEQ/CT group that have been implemented.
    •  

  • NNPDF gives four distributions from the NNPDF 2.3 
QCD+QED sets that have been implemented.
    •  

 
The current default is CTEQ 5L, which has been used in most studies 
to date. 
 

 
For charged pions: 

     

  • GRVpiL gives the GRV 1992 pi+ parametrization.
    •  

 
 

 
For Pomerons (used to describe diffraction): 

     

  • PomFix gives a simple but flexible 
Q2-independent parametrization.
    •  

  • PomH1FitAB gives the H1 2006 Fit A and Fit B 
parametrizations.
    •  

  • PomH1Jets gives the H1 2007 Jets parametrization.
    •  

 
 

 
For charged leptons (e, mu, tau): 

     

  • Lepton gives a QED parametrization [Kle89]. 
In QED there are not so many ambiguities, so here one set should be 
enough. On the other hand, there is the problem that the 
lepton-inside-lepton pdf is integrably divergent for x → 1, 
which gives numerical problems. Like in PYTHIA 6, the pdf is therefore 
made to vanish for x > 1 - 10^{-10}, and scaled up in the range 
1 - 10^{-7} < x < 1 - 10^{-10} in such a way that the 
total area under the pdf is preserved.
    •  

  • LeptonPoint gives the trivial distribution of a 
pointlike (i.e. unresolved) charged lepton.
    •  

 
 

 
For neutrinos: 

     

  • NeutrinoPoint is the only method, so there is no choice. 
Analogously to LeptonPoint it gives the distribution of a 
pointlike (i.e. unresolved) neutrino. A difference, however, is that 
neutrinos always are lefthanded, so there is no need to average over 
incoming spin states. Since the PYTHIA formalism assumes unpolarized 
beams, and thus implicitly includes a 1/2 for incoming fermions, the 
NeutrinoPoint PDF is normalized to 2 rather than 1 
to compensate for this.
    •  

 
 

 
There is another method, isSetup(), that returns the 
base-class boolean variable isSet. This variable is 
initially true, but could be set false if the 
setup procedure of a PDF failed, e.g. if the user has chosen an unknown 
PDF set. 
 

 
The MRST/MSTW, CTEQ/CT, NNPDF and H1 PDF routines are based on the 
interpolation in (x, Q) grids. The grid files are stored in the 
xmldoc subdirectory, like settings and particle data. 
Only PDF sets that will be used are read in during the initialization 
stage. 
 


 
 
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pythia8-8.1.86.orig/htmldoc/OniaProcesses.html0000644000175000017500000006155312357553535017463 0ustar  sunsun

Onia Processes




 

Onia Processes
 
 
Production of any 3S1, 3PJ, and 3DJ charmonium
and bottomonium states via the colour-singlet and colour-octet
mechanisms. This includes by default, but is not limited to, production of
the 3S1 J/psi and Upsilon and their
radially excited states, as well as the 3PJ chi
states and the 3D1 psi(3770). In each process the
heavy quark content, either ccbar or bbbar, is
followed by a round-bracketed expression which specifies the physical
state in spectroscopic notation, (2S+1) L J. Proceding this
is a square-bracketed expression, also in spectroscopic notation,
which specifies the Fock state through which the process occurs,
where (1) indicates a colour-singlet state and (8) a
colour-octet state.


 The unphysical colour-octet states follow the id
scheme of 99 n_q n_s n_r n_L n_J where n_q is the
quark flavour of the state and n_s is the colour-octet state
type. Here 0 is 3S1, 1 is 1S0,
and 2 is 3PJ. All remaining numbers follow the
standard PDG numbering scheme. If a physical state is requested
without a corresponding colour-octet state, a colour-octet state is
automatically added to the ParticleData
when a colour-octet process is selected. The colour-octet state is
created with a mass given by the mass of the physical state plus the
singlet-octet mass splitting parameter Onia:massSplit,
which is by default set at 200 MeV, and decays exclusively
to a gluon and the physical state. If the user wishes to manually
set the mass splitting for each colour-octet state individually
then Onia:forceMassSplit can be set to off.
By default the widths of the octet states are set to vanish. 
This is not realistic, given their presumably rather rapid decay,
but a nonvanishing width is not likely to have any measurable 
consequences that go beyond what comes from viewing the singlet-octet
mass splitting as an effective parameter.


 
The original Fortran code for these processes has been contributed 
by Stefan Wolf [unpublished]. For the C++ version only the unpolarized 
expressions are retained, since the theoretical predictions of the 
colour-octet model anyway do not agree with the experimental 
observations. Furthermore, the polarization effects are modest, 
so isotropic decay is not a bad starting point. Such an event sample 
can afterwards be reweighted at will by the user, to test various 
assumptions. The expressions for the colour-singlet production of
the 3S1 and 3PJ states can be found
in [Bai83] and [Gas87]. Colour-octet expressions can
be found in [Cho96] for the 1S0, 3S1,
and 3PJ states, and the matrix elements for the 3DJ
states are taken from [Yua98]. 
 


The implementation of charmonium and bottomonium production, including
the colour-octet production mechanism, requires information on
long-distance NRQCD matrix elements for the various wavefunctions
involved. Default values for these are encoded in the O
parameters and are taken from [Nas00]; see
also [Bar07]. The 3DJ long-distance matrix elements
are extracted from [Yua98].



Note that states that differ only by the radial excitation number 
n_r share the same short-dinstence matrix elements. The
program has therefore been written such that further radial excitations
can be easily added by editing this file, without requiring a recompilation 
of the code. All related arrays must be expanded in exactly the same way,
however, i.e. the code of the colour singlet state, the long-distance
matrix elements and the individual process on/off switches. 


 
The description of 
final-state radiation 
is in this case based on some further model assumptions. 
 

 
Most of the processes below are divergent in the limit pT → 0, 
and therefore a pTmin scale should be set. Comparisons with 
data indicate that this divergence can be tamed the same way as for 
the normal QCD 2 → 2 cross sections [Bar07,Kra08], 
which makes sense, since they are all dominated by the same kind of 
t-channel gluon exchange. It is therefore possible to use the 
SuppressSmallPT user hook to impose a 
reweighting that cancels the low-pT divergence. 
 

 
An eikonalized description of these processes is included in the 
multiparton-interactions framework. Here the low-pT dampening 
is automatic, and additionally the framework is more consistent 
(e.g. with respect to energy-momentum constraints and the 
impact-parameter description) for events where the onium production 
is not the hardest subprocess, as would often be the case in the 
low-pT limit. 


flag   Onia:forceMassSplit   
 (default = on)

Force the mass splitting between the colour-singlet states and their
corresponding colour-octet state to be Onia:massSplit.
   


parm   Onia:massSplit   
 (default = 0.2; minimum = 0.0; maximum = 1.0)

Mass splitting in GeV between the physical colour-singlet
states and their corresponding colour-octet state.
   


flag   Onia:all   
 (default = off)

Common switch for the group of onia production. 
   

flag   Onia:all(3S1)   
 (default = off)

Common switch for the group of 3S1 onia production,
e.g. J/psi and Upsilon.
   

flag   Onia:all(3PJ)   
 (default = off)

Common switch for the group of 3PJ onia production,
e.g. chi_c and chi_b.
   

flag   Onia:all(3DJ)   
 (default = off)

Common switch for the group of 3DJ onia production,
e.g. psi(3770).
   

flag   Charmonium:all   
 (default = off)

Common switch for the group of charmonium production,
e.g. J/psi and chi_c.
   

flag   Bottomonium:all   
 (default = off)

Common switch for the group of bottomonium production,
e.g. Upsilon and chi_b.
   


Charmonium 3S1 States
 


mvec   Charmonium:states(3S1)   
 (default = 443,100443; minimum = 0)

The 3S1 charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  


pvec   Charmonium:O(3S1)[3S1(1)]   
 (default = 1.16,0.76; minimum = 0.0)

The colour-singlet long-distance matrix
elements <O[3S1(1)]> for the 3S1 charmonium states.
  


pvec   Charmonium:O(3S1)[3S1(8)]   
 (default = 0.0119,0.0050; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[3S1(8)]> for the 3S1 charmonium states.
   
 

pvec   Charmonium:O(3S1)[1S0(8)]   
 (default = 0.01,0.004; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[1S0(8)]> for the 3S1
charmonium states.
  
 

pvec   Charmonium:O(3S1)[3P0(8)]   
 (default = 0.01,0.004; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3S1 charmonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  
 

fvec   Charmonium:gg2ccbar(3S1)[3S1(1)]g   
 (default = off,off)

Colour-singlet production of 3S1 charmonium states via 
g g → ccbar[3S1(1)] g.
Code 401. 
  


fvec   Charmonium:gg2ccbar(3S1)[3S1(8)]g   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
g g → ccbar[3S1(8)] g.
Code 402.
   


fvec   Charmonium:qg2ccbar(3S1)[3S1(8)]q   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
q g → ccbar[3S1(8)] q. 
Code 403.
   
 

fvec   Charmonium:qqbar2ccbar(3S1)[3S1(8)]g   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[3S1(8)] g. 
Code 404.
   


fvec   Charmonium:gg2ccbar(3S1)[1S0(8)]g   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
g g → ccbar[1S0(8)] g. 
Code 405.
   
 

fvec   Charmonium:qg2ccbar(3S1)[1S0(8)]q   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
q g → ccbar[1S0(8)] q.
Code 406.
   
 

fvec   Charmonium:qqbar2ccbar(3S1)[1S0(8)]g   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[1S0(8)] g. 
Code 407.
   
 

fvec   Charmonium:gg2ccbar(3S1)[3PJ(8)]g   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
g g → ccbar[3PJ(8)] g. 
Code 408.
   
 

fvec   Charmonium:qg2ccbar(3S1)[3PJ(8)]q   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
q g → ccbar[3PJ(8)] q. 
Code 409.
   
  

fvec   Charmonium:qqbar2ccbar(3S1)[3PJ(8)]g   
 (default = off,off)

Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[3SJ(8)] g. 
Code 410.
   


Charmonium 3PJ States
 


mvec   Charmonium:states(3PJ)   
 (default = 10441,20443,445)

The 3PJ charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  


pvec   Charmonium:O(3PJ)[3P0(1)]   
 (default = 0.05,0.05,0.05; minimum = 0.0)

The color-singlet long-distance matrix elements 
<O[3P0(1)]>/m_Q^2 for the 3PJ charmonium
states. The remaining <O[3PJ(1)]>/m_Q^2
are calculated from these long-distance matrix elements.
  


pvec   Charmonium:O(3PJ)[3S1(8)]   
 (default = 0.0031,0.0031,0.0031; minimum = 0.0)

The color-singlet long-distance matrix elements 
<O[3S1(8)]> for the 3PJ charmonium states.
  


fvec   Charmonium:gg2ccbar(3PJ)[3PJ(1)]g   
 (default = off,off,off)

Colour-singlet production of 3PJ charmonium states via
g g → ccbar[3PJ(1)] g. 
Code 411.
   


fvec   Charmonium:qg2ccbar(3PJ)[3PJ(1)]q   
 (default = off,off,off)

Colour-singlet production of 3PJ charmonium states via
q g → ccbar[3PJ(1)] q. 
Code 412.
   


fvec   Charmonium:qqbar2ccbar(3PJ)[3PJ(1)]g   
 (default = off,off,off)

Colour-singlet production of 3PJ charmonium states via
q qbar → ccbar[3PJ(1)] g. 
Code 413.
  


fvec   Charmonium:gg2ccbar(3PJ)[3S1(8)]g   
 (default = off,off,off)

Colour-octet production of 3PJ charmonium states via
g g → ccbar[3S1(8)] g. 
Code 414.
   


fvec   Charmonium:qg2ccbar(3PJ)[3S1(8)]q   
 (default = off,off,off)

Colour-octet production of 3PJ charmonium states via
q g → ccbar[3S1(8)] q. 
Code 415.
   


fvec   Charmonium:qqbar2ccbar(3PJ)[3S1(8)]g   
 (default = off,off,off)

Colour-octet production of 3PJ charmonium states via
q qbar → ccbar[3S1(8)] g. 
Code 416.
  


Charmonium 3DJ States
 


mvec   Charmonium:states(3DJ)   
 (default = 30443)

The 3DJ charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  


pvec   Charmonium:O(3DJ)[3D1(1)]   
 (default = 0.161; minimum = 0.0)

The color-singlet long-distance matrix elements 
<O[3D1(1)]> for the 3PJ charmonium
states. For a 3DJ charmonium state where J is
not 1 the long distance matrix
element <O[3DJ(1)]> is calculated
by (2J+1)<O[3D1(1)]/3> using leading order spin symmetry
relations.
  


pvec   Charmonium:O(3DJ)[3P0(8)]   
 (default = 0.01; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3DJ charmonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  


fvec   Charmonium:gg2ccbar(3DJ)[3DJ(1)]g   
 (default = off)

Colour-singlet production of 3PJ charmonium states via
g g → ccbar[3DJ(1)] g. 
Code 417.
   


fvec   Charmonium:gg2ccbar(3DJ)[3PJ(8)]g   
 (default = off)

Colour-octet production of 3DJ charmonium states via
g g → ccbar[3PJ(8)] g. 
Code 418.
   
 

fvec   Charmonium:qg2ccbar(3DJ)[3PJ(8)]q   
 (default = off)

Colour-octet production of 3DJ charmonium states via
q g → ccbar[3PJ(8)] q. 
Code 419.
   
  

fvec   Charmonium:qqbar2ccbar(3DJ)[3PJ(8)]g   
 (default = off)

Colour-octet production of 3DJ charmonium states via
q qbar → ccbar[3PJ(8)] g. 
Code 420.
  


Bottomonium 3S1 States
 


mvec   Bottomonium:states(3S1)   
 (default = 553,100553,200553; minimum = 0)

The 3S1 bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  


pvec   Bottomonium:O(3S1)[3S1(1)]   
 (default = 9.28,4.63,3.54; minimum = 0.0)

The colour-singlet long-distance matrix
elements <O[3S1(1)]> for the 3S1 bottomonium states.
  


pvec   Bottomonium:O(3S1)[3S1(8)]   
 (default = 0.15,0.045,0.075; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[3S1(8)]> for the 3S1 bottomonium states.
   
 

pvec   Bottomonium:O(3S1)[1S0(8)]   
 (default = 0.02,0.06,0.1; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[1S0(8)]> for the 3S1
bottomonium states.
  
 

pvec   Bottomonium:O(3S1)[3P0(8)]   
 (default = 0.02,0.06,0.1; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3S1 bottomonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  
 

fvec   Bottomonium:gg2bbbar(3S1)[3S1(1)]g   
 (default = off,off,off)

Colour-singlet production of 3S1 bottomonium states via 
g g → bbbar[3S1(1)] g.
Code 501. 
  


fvec   Bottomonium:gg2bbbar(3S1)[3S1(8)]g   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
g g → bbbar[3S1(8)] g.
Code 502.
   


fvec   Bottomonium:qg2bbbar(3S1)[3S1(8)]q   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
q g → bbbar[3S1(8)] q. 
Code 503.
   
 

fvec   Bottomonium:qqbar2bbbar(3S1)[3S1(8)]g   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[3S1(8)] g. 
Code 504.
   


fvec   Bottomonium:gg2bbbar(3S1)[1S0(8)]g   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
g g → bbbar[1S0(8)] g. 
Code 505.
   
 

fvec   Bottomonium:qg2bbbar(3S1)[1S0(8)]q   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
q g → bbbar[1S0(8)] q.
Code 506.
   
 

fvec   Bottomonium:qqbar2bbbar(3S1)[1S0(8)]g   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[1S0(8)] g. 
Code 507.
   
 

fvec   Bottomonium:gg2bbbar(3S1)[3PJ(8)]g   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
g g → bbbar[3PJ(8)] g. 
Code 508.
   
 

fvec   Bottomonium:qg2bbbar(3S1)[3PJ(8)]q   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
q g → bbbar[3PJ(8)] q. 
Code 509.
   
  

fvec   Bottomonium:qqbar2bbbar(3S1)[3PJ(8)]g   
 (default = off,off,off)

Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[3SJ(8)] g. 
Code 510.
   


Bottomonium 3PJ States
 


mvec   Bottomonium:states(3PJ)   
 (default = 10551,20553,555)

The 3PJ bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  


pvec   Bottomonium:O(3PJ)[3P0(1)]   
 (default = 0.085,0.085,0.085; minimum = 0.0)

The color-singlet long-distance matrix elements 
<O[3P0(1)]>/m_Q^2 for the 3PJ bottomonium
states. The remaining <O[3PJ(1)]>/m_Q^2
are calculated from these long-distance matrix elements.
  


pvec   Bottomonium:O(3PJ)[3S1(8)]   
 (default = 0.04,0.04,0.04; minimum = 0.0)

The color-singlet long-distance matrix elements 
<O[3S1(8)]> for the 3PJ bottomonium states.
  


fvec   Bottomonium:gg2bbbar(3PJ)[3PJ(1)]g   
 (default = off,off,off)

Colour-singlet production of 3PJ bottomonium states via
g g → bbbar[3PJ(1)] g. 
Code 511.
   


fvec   Bottomonium:qg2bbbar(3PJ)[3PJ(1)]q   
 (default = off,off,off)

Colour-singlet production of 3PJ bottomonium states via
q g → bbbar[3PJ(1)] q. 
Code 512.
   


fvec   Bottomonium:qqbar2bbbar(3PJ)[3PJ(1)]g   
 (default = off,off,off)

Colour-singlet production of 3PJ bottomonium states via
q qbar → bbbar[3PJ(1)] g. 
Code 513.
  


fvec   Bottomonium:gg2bbbar(3PJ)[3S1(8)]g   
 (default = off,off,off)

Colour-octet production of 3PJ bottomonium states via
g g → bbbar[3S1(8)] g. 
Code 514.
   


fvec   Bottomonium:qg2bbbar(3PJ)[3S1(8)]q   
 (default = off,off,off)

Colour-octet production of 3PJ bottomonium states via
q g → bbbar[3S1(8)] q. 
Code 515.
   


fvec   Bottomonium:qqbar2bbbar(3PJ)[3S1(8)]g   
 (default = off,off,off)

Colour-octet production of 3PJ bottomonium states via
q qbar → bbbar[3S1(8)] g. 
Code 516.
  


Bottomonium 3DJ States
 


mvec   Bottomonium:states(3DJ)   

The 3DJ bottomonium states that can be produced from the following
processes. Currently, no 3DJ states are included in the
default ParticleData and so none are included here. Note
that all vectors within this section, either of flags or parameters,
must be the same length as this vector.
  


pvec   Bottomonium:O(3DJ)[3D1(1)]   
 (; minimum = 0.0)

The color-singlet long-distance matrix elements 
<O[3D1(1)]> for the 3PJ bottomonium
states. For a 3DJ bottomonium state where J is
not 1 the long distance matrix
element <O[3DJ(1)]> is calculated
by (2J+1)<O[3D1(1)]/3> using leading order spin symmetry
relations.
  


pvec   Bottomonium:O(3DJ)[3P0(8)]   
 (; minimum = 0.0)

The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3DJ bottomonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  


fvec   Bottomonium:gg2bbbar(3DJ)[3DJ(1)]g   

Colour-singlet production of 3PJ bottomonium states via
g g → bbbar[3DJ(1)] g. 
Code 517.
   


fvec   Bottomonium:gg2bbbar(3DJ)[3PJ(8)]g   

Colour-octet production of 3DJ bottomonium states via
g g → bbbar[3PJ(8)] g. 
Code 518.
   
 

fvec   Bottomonium:qg2bbbar(3DJ)[3PJ(8)]q   

Colour-octet production of 3DJ bottomonium states via
q g → bbbar[3PJ(8)] q. 
Code 519.
   
  

fvec   Bottomonium:qqbar2bbbar(3DJ)[3PJ(8)]g   

Colour-octet production of 3DJ bottomonium states via
q qbar → bbbar[3PJ(8)] g. 
Code 520.
  



 
 
 
pythia8-8.1.86.orig/htmldoc/ElectroweakProcesses.html0000644000175000017500000003253412357553535021037 0ustar  sunsun

Electroweak Processes




 

Electroweak Processes
 
 
This page contains processes involving Prompt-photon, gamma^*/Z^0 
and W^+- production, plus a few with t-channel boson 
exchange. 
 

Prompt photon processes
 
 
This group collects the processes where one or two photons are 
produced by the hard process. Additional sources of photons 
include parton showers and hadron decays. A pT cut 
is required to stay away from the unphysical low-pT region. 
An eikonalized description, intended to be valid at all pT, 
is included as part of the multiparton-interactions framework. 
 

flag   PromptPhoton:all   
 (default = off)

Common switch for the group of all prompt photon processes, 
as listed separately in the following. 
   
 

flag   PromptPhoton:qg2qgamma   
 (default = off)

Scattering q g → q gamma. 
Code 201. 
   
 

flag   PromptPhoton:qqbar2ggamma   
 (default = off)

Scattering q qbar → g gamma. 
Code 202. 
   
 

flag   PromptPhoton:gg2ggamma   
 (default = off)

Scattering g g → g gamma. 

Note: This is a box graph. The full quark-mass dependence 
in the loop leads to very complicated expressions. The current 
implementation is based on assuming five massless quarks (see below), 
and thus is questionable at small (pT < m_b) or large 
(pT > m_t) transverse momenta. 
Code 203. 
   
 

flag   PromptPhoton:ffbar2gammagamma   
 (default = off)

Scattering q qbar → gamma gamma. 
Code 204. 
   
 

flag   PromptPhoton:gg2gammagamma   
 (default = off)

Scattering g g → gamma gamma. 

Note: This is a box graph. The full quark-mass dependence 
in the loop leads to very complicated expressions. The current 
implementation is based on assuming five massless quarks (see below), 
and thus is questionable at small (pT < m_b) or large 
(pT > m_t) transverse momenta. 
Code 205. 
   
 

mode   PromptPhoton:nQuarkLoop   
 (default = 5; minimum = 3; maximum = 6)

Number of quark flavours included in the box graphs responsible for 
g g → g gamma and g g→ gamma gamma processes. 
Owing to the complexity if the massive expressions, quarks are treated 
as massless. The default value should be applicable in the range of 
transverse momenta above the b mass but below the t one. 
   
 

Weak boson processes
 
 
Under this heading we group processes involving the production 
of a single electroweak gauge boson, i.e. a gamma^*/Z^0 
or a W^+-, or a pair of them, or one of them in 
combination with a parton. Since the three sets are partly 
conflicting, each is associated with its own group flag. 
In addition, t-channel exchange of such a boson 
between two fermions form a separate group. 
 

 
There is one flag that can be used to influence the gamma^*/Z^0 
structure in all the processes below where it is produced, unless 
otherwise stated. 

mode   WeakZ0:gmZmode   
 (default = 0; minimum = 0; maximum = 2)

Choice of full gamma^*/Z^0 structure or not in relevant 
processes. 

option  0 : full gamma^*/Z^0 structure, 
with interference included.   

option  1 : only pure gamma^* contribution.   

option  2 : only pure Z^0 contribution.   

Note: irrespective of the option used, the particle produced 
will always be assigned code 23 for Z^0, and open decay channels 
is purely dictated by what is set for the Z^0. 
   
 

Boson exchange
 
 
The two processes in this subgroup is included as part of the 
multiparton-interactions framework. 
 

flag   WeakBosonExchange:all   
 (default = off)

Common switch for the group of gamma^*/Z^0 
or W^+- exchange between two fermions. 
   
 

flag   WeakBosonExchange:ff2ff(t:gmZ)   
 (default = off)

Scattering f f' → f f' via gamma^*/Z^0 
t-channel exchange, with full interference 
between the gamma^* and Z^0. 
Code 211. 
   
 

flag   WeakBosonExchange:ff2ff(t:W)   
 (default = off)

Scattering f_1 f_2 → f_3 f_4 via W^+- 
t-channel exchange. 
Code 212. 
   
 

Single boson
 
 

flag   WeakSingleBoson:all   
 (default = off)

Common switch for the group of a single gamma^*/Z^0 
or W^+- production. 
   
 

flag   WeakSingleBoson:ffbar2gmZ   
 (default = off)

Scattering f fbar → gamma^*/Z^0, with full interference 
between the gamma^* and Z^0. 
Code 221. 
   
 

flag   WeakSingleBoson:ffbar2W   
 (default = off)

Scattering f fbar' → W^+-. 
Code 222. 
   
 

flag   WeakSingleBoson:ffbar2ffbar(s:gm)   
 (default = off)

Scattering f fbar → gamma^* → f' fbar'. Subset of 
process 221, but written as a 2 → 2 process, so that 
pT can be used as ordering variable, e.g. in multiparton 
interactions. Hardcoded for the final state being either of the 
five quark flavours or three lepton ones. Not included in the 
WeakSingleBoson:all set, but included in the 
multiparton-interactions framework. 
Code 223. 
   
 

flag   WeakSingleBoson:ffbar2ffbar(s:gmZ)   
 (default = off)

Scattering f fbar → gamma^*/Z^0 → f' fbar'. Equivalent 
to process 221, but written as a 2 → 2 process, so that 
pT could be used as cut or ordering variable. Final-state 
flavour selection is based on the Z^0 allowed decay modes, 
and the WeakZ0:gmZmode options are implemented. 
Not included in the WeakSingleBoson:all set. 
Code 224. 
   
 

flag   WeakSingleBoson:ffbar2ffbar(s:W)   
 (default = off)

Scattering f_1 fbar_2 → W+- → f_3 f_4. Almost equivalent 
to process 222, but written as a 2 → 2 process, so that 
pT could be used as cut or ordering variable. Final-state 
flavour selection is based on the W allowed decay modes. 
There are two simplifications relative to the implementation in 
process 222. Firstly, it is not possible to set different decay modes 
for the W^+ and the W^-; instead the allowed 
W^+ ones will be used throughout, with charge conjugation 
for the W^-. Secondly, quark mass corrections are neglected 
in the decay angular distribution. 
Not included in the WeakSingleBoson:all set. 
Code 225. 
   
 

Boson pair
 
 
Note that, in the decay of the two vector bosons produced by an 
f fbar → V V process, the full four-fermion correlations 
from the leading-order f fbar → V V → 4f matrix elements 
are included [Gun86] (with some extensions by the authors). 
The matrix elements are provided in the double-resonant approach, i.e. 
excludes graph like 
f fbar → V → f fbar → f fbar V → 4f. 
 

flag   WeakDoubleBoson:all   
 (default = off)

Common switch for the group of pair production of gamma^*/Z^0 
and W^+-. 
   
  

flag   WeakDoubleBoson:ffbar2gmZgmZ   
 (default = off)

Scattering f fbar' → gamma^*/Z^0 gamma^*/Z^0. 
Code 231. 
   
 

flag   WeakDoubleBoson:ffbar2ZW   
 (default = off)

Scattering f fbar' → Z^0 W^+-. Note that here the 
gamma^* contribution is not (currently) included. 
Code 232. 
   
  

flag   WeakDoubleBoson:ffbar2WW   
 (default = off)

Scattering f fbar → W^+ W^-. 
Code 233. 
   
 

Boson and parton
 
 

flag   WeakBosonAndParton:all   
 (default = off)

Common switch for the group of production of a single electroweak 
gauge boson, i.e. a gamma^*/Z^0 or a W^+-, in 
association with a parton, i.e. a quark, gluon, photon or lepton. 
These processes give first-order corrections to the ones in the 
WeakSingleBoson class, and both sets cannot be used 
simultaneously without unphysical double-counting. The current class 
should only be used to study the high-pT tail of the 
gauge-boson production processes (for LHC applications at least 
pT > 20 GeV), while the ones in WeakSingleBoson 
should be used for inclusive production. 
   
  

flag   WeakBosonAndParton:qqbar2gmZg   
 (default = off)

Scattering q qbar → gamma^*/Z^0 g. 
Code 241. 
   
  

flag   WeakBosonAndParton:qg2gmZq   
 (default = off)

Scattering q g → gamma^*/Z^0 q . 
Code 242. 
   
  

flag   WeakBosonAndParton:ffbar2gmZgm   
 (default = off)

Scattering f fbar → gamma^*/Z^0 gamma. 
Code 243. 
   
  

flag   WeakBosonAndParton:fgm2gmZf   
 (default = off)

Scattering f gamma →  gamma^*/Z^0 f. 
Code 244. 
   
  

flag   WeakBosonAndParton:qqbar2Wg   
 (default = off)

Scattering q qbar → W^+- g. 
Code 251. 
   
  

flag   WeakBosonAndParton:qg2Wq   
 (default = off)

Scattering q g → W^+- q. 
Code 252. 
   
  

flag   WeakBosonAndParton:ffbar2Wgm   
 (default = off)

Scattering f fbar → W^+- gamma. 
Code 253. 
   
  

flag   WeakBosonAndParton:fgm2Wf   
 (default = off)

Scattering f gamma → W^+- f. 
Code 254. 
   
 

 Photon Collision Processes
 
 
A few electroweak two-photon production processes are available. 
To use them, photon PDFs have to be defined for the incoming 
beam particles. For proton beams an appropriate set would be 
MRST QED 2004 [Mar05], available in the LHAPDF library. 
 

flag   PhotonCollision:all   
 (default = off)

Common switch for the group of six processes presented below. 
   
 

flag   PhotonCollision:gmgm2qqbar   
 (default = off)

Scatterings gamma gamma → q qbar, where q 
is a light quark (u, d, s) . 
Code 261. 
   
 

flag   PhotonCollision:gmgm2ccbar   
 (default = off)

Scattering gamma gamma → c cbar. 
Code 262. 
   
 

flag   PhotonCollision:gmgm2bbbar   
 (default = off)

Scattering gamma gamma → b bbar. 
Code 263. 
   
 

flag   PhotonCollision:gmgm2ee   
 (default = off)

Scattering gamma gamma → e+ e-. 
Code 264. 
   
 

flag   PhotonCollision:gmgm2mumu   
 (default = off)

Scattering gamma gamma → mu+ mu-. 
Code 265. 
   
 

flag   PhotonCollision:gmgm2tautau   
 (default = off)

Scattering gamma gamma → tau+ tau-. 
Code 266. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/PDFSelection.html0000644000175000017500000005756212357553535017172 0ustar  sunsun

PDF Selection




 

PDF Selection
 
 
This page contains five subsections. The first deals with how to 
pick  the parton distribution set for protons, including from LHAPDF, 
to be used for all proton and antiproton beams. The second is a special 
option that allows a separate PDF set to be used for the hard process 
only, while the first choice would still apply to everything else. 
The third and fourth give access to pion and Pomeron PDF's, respectively, 
the latter being used to describe diffractive systems. 
The fifth gives the possibility to switch off the lepton 
"parton density". More information on PDF classes is found 
here. 
 

Parton densities for protons
 
 
The selection of parton densities is made once and then is propagated 
through the program. It is essential to make an informed choice, 
for several reasons [Kas10]: 

Warning 1: the choice of PDF set affects a number of 
properties of events. A change of PDF therefore requires a complete 
retuning e.g.  of the multiparton-interactions model for minimum-bias and 
underlying events. 

Warning 2: People often underestimate the differences 
between different sets on the market. The sets for the same order are 
constructed to behave more or less similarly at large x and 
Q^2, while the multiparton interactions are dominated by the 
behaviour in the region of small x and Q^2. A good 
PDF parametrization ought to be sensible down to x = 10^-6 
(x = 10^-7) and Q^2 = 1 GeV^2 for Tevatron (LHC) 
applications. Unfortunately there are distributions on the market that 
completely derail in that region. The main51.cc and 
main52.cc programs in the examples 
subdirectory provide some examples of absolutely minimal sanity checks 
before a new PDF set is put in production. 

Warning 3: NLO and LO sets tend to have quite different 
behaviours, e.g. NLO ones have less gluons at small x, which then is 
compensated by positive corrections in the NLO matrix elements. 
Therefore do not blindly assume that an NLO tune has to be better than 
an LO one when combined with the LO matrix elements in PYTHIA. There are 
explicit examples where such thinking can lead you down the wrong alley, 
especially if you study low-pT physics. In the list below you 
should therefore be extra cautious when using set 6 or set 9. 
 

 
The simplest option is to pick one 
of the distributions available internally: 
 

mode   PDF:pSet   
 (default = 2; minimum = 1; maximum = 16)

Parton densities to be used for proton beams (and, by implication, 
antiproton ones): 

option  1 : GRV 94L, LO alpha_s(M_Z) = 0.128 
(this set is out of date, but retained for historical comparisons).   

option  2 : CTEQ 5L, LO alpha_s(M_Z) = 0.127 
(this set is also out of date, but not badly so, and many tunes 
are based on it).   

option  3 : MRST LO* (2007), 
NLO alpha_s(M_Z) = 0.12032.   

option  4 : MRST LO** (2008), 
NLO alpha_s(M_Z) = 0.11517.   

option  5 : MSTW 2008 LO (central member), 
LO alpha_s(M_Z) = 0.13939.   

option  6 : MSTW 2008 NLO (central member), 
NLO alpha_s(M_Z) = 0.12018 (NLO, see Warning 3 above).   

option  7 : CTEQ6L, NLO alpha_s(M_Z) = 0.1180.   

option  8 : CTEQ6L1, LO alpha_s(M_Z) = 0.1298.   

option  9 : CTEQ66.00 (NLO, central member), 
NLO alpha_s(M_Z) = 0.1180 (NLO, see Warning 3 above).   

option  10 : CT09MC1, LO alpha_s(M_Z) = 0.1300.   

option  11 : CT09MC2, NLO alpha_s(M_Z) = 0.1180.   

option  12 : CT09MCS, NLO alpha_s(M_Z) = 0.1180.   

option  13 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.130.
   

option  14 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.119.
   

option  15 : NNPDF2.3 QCD+QED NLO alpha_s(M_Z) = 0.119.
   

option  16 : NNPDF2.3 QCD+QED NNLO alpha_s(M_Z) = 0.119. 
   
   

Note: the alpha_s(M_Z) values and the order of the 
running in the description above is purely informative, and does not 
affect any other parts of the program. Instead you have the freedom to 
set alpha_s(M_Z) value and running separately for 
hard processes 
(including resonance decays), 
multiparton interactions, 
initial-state radiation, and 
final-state radiation. 
 

 
This is a reasonably complete list of recent LO fits, both 
ones within the normal LO context and ones with modifications for better 
matching to event generators. In addition two older sets are 
included for backwards reference (most studies to date are based on 
CTEQ 5L). If you link to the 
LHAPDF 
library [Wha05] you get access to a much wider selection. 

Warning 1: owing to previous problems with the behaviour 
of PDF's beyond the x and Q^2 boundaries of a set, 
you should only use LHAPDF version 5.3.0 or later. 

Warning 2: the behaviour of the LHAPDF sets need not be 
identical with the implementation found in PYTHIA. Specifically we 
are aware of the following points that may influence a comparison. 

(a) CTEQ 5L in PYTHIA is the parametrization, in LHAPDF the grid 
interpolation. 

(b) MRST LO* and LO** in PYTHIA is based on an updated edition, 
where one makes use of the expanded MSTW grid format, while LHAPDF 
is based on the original smaller grid. 

(c) The CTEQ 6 and CT09MC sets in PYTHIA are frozen at the 
boundaries of the grid, by recommendation of the authors, while 
LHAPDF also offers an option with a smooth extrapolation outside 
the grid boundaries. 
 

flag   PDF:useLHAPDF   
 (default = off)

If off then the choice of proton PDF is based on PDF:pSet 
above. If on then it is instead based on the choice of 
PDF:LHAPDFset and PDF:LHAPDFmember below. 

Note: in order for this option to work you must have 
compiled PYTHIA appropriately and have set the LHAPATH 
environment variable to provide the data-files directory of your local 
LHAPDF installation. See the README file in the examples 
directory for further instructions. 
   
 

word   PDF:LHAPDFset   
 (default = MRST2004FF4lo.LHgrid)

Name of proton PDF set from LHAPDF to be used. You have to choose 
from the 
 
list of available sets. Examples of some fairly recent ones 
(but still less recent than found above) would be 
cteq61.LHpdf, cteq61.LHgrid, cteq6l.LHpdf, cteq6ll.LHpdf, 
MRST2004nlo.LHpdf, MRST2004nlo.LHgrid, MRST2004nnlo.LHgrid and 
MRST2004FF3lo.LHgrid. If you pick a LHpdf set it will require some 
calculation the first time it is called. 

Technical note: if you provide a name beginning with a 
slash (/) it is assumed you want to provide the full file path and then 
initPDFsetM(name) is called, else the correct path is assumed 
already set and initPDFsetByNameM(name) is called. 
   
 

mode   PDF:LHAPDFmember   
 (default = 0; minimum = 0)

Further choice of a specific member from the set picked above. Member 0 
should normally correspond to the central value, with higher values 
corresponding to different error PDF's somewhat off in different 
directions. You have to check from set to set which options are open. 

Note: you can only use one member in a run, so if you 
want to sweep over many members you either have to do many separate 
runs or, as a simplification, save the 
pdf weights at the hard scattering 
and do an offline reweighting of events. 
   
 

flag   PDF:extrapolateLHAPDF   
 (default = off)

Parton densities have a guaranteed range of validity in x 
and Q^2, and what should be done beyond that range usually is 
not explained by the authors of PDF sets. Nevertheless these boundaries 
very often are exceeded, e.g. minimum-bias studies at LHC may sample 
x values down to 10^-8, while many PDF sets stop 
already at 10^-5. The default behaviour is then that the 
PDF's are frozen at the boundary, i.e. xf(x,Q^2) is fixed at 
its value at x_min for all values x < x_min, 
and so on. This is a conservative approach. Alternatively, if you 
switch on extrapolation, then parametrizations will be extended beyond 
the boundaries, by some prescription. In some cases this will provide a 
more realistic answer, in others complete rubbish. Another problem is 
that some of the PDF-set codes will write a warning message anytime the 
limits are exceeded, thus swamping your output file. Therefore you should 
study a set seriously before you run it with this switch on. 
   
 

 
If you want to use PDF's not found in LHAPDF, or you want to interface 
LHAPDF another way, you have full freedom to use the more generic 
interface options. 
 

Parton densities for protons in the hard process
 
 
The above options provides a PDF set that will be used everywhere: 
for the hard process, the parton showers and the multiparton interactions 
alike. As already mentioned, therefore a change of PDF should be 
accompanied by a complete retuning of the whole MPI framework, 
and maybe more. There are cases where one may want to explore 
different PDF options for the hard process, but would not want to touch 
the rest. If several different sets are to be compared, a simple 
reweighting based on the originally 
used flavour, x, Q^2 and PDF values may offer the 
best route. The options in this section allow a choice of the PDF set 
for the hard process alone, while the choice made in the previous section 
would still be used for everything else. The hardest interaction 
of the minimum-bias process is part of the multiparton-interactions 
framework and so does not count as a hard process here. 
 

 
Of course it is inconsistent to use different PDF's in different parts 
of an event, but if the x and Q^2 ranges mainly accessed 
by the components are rather different then the contradiction would not be 
too glaring. Furthermore, since standard PDF's are one-particle-inclusive 
we anyway have to 'invent' our own PDF modifications to handle configurations 
where more than one parton is kicked out of the proton [Sjo04]. 
 

 
The PDF choices that can be made are the same as above, so we do not 
repeat the detailed discussion. 
 

flag   PDF:useHard   
 (default = off)

If on then select a separate PDF set for the hard process, using the 
variables below. If off then use the same PDF set for everything, 
as already chosen above. 
   
 

mode   PDF:pHardSet   
 (default = 2; minimum = 1; maximum = 16)

Parton densities to be used for proton beams (and, by implication, 
antiproton ones): 

option  1 : GRV 94L, LO alpha_s(M_Z) = 0.128 
(out of date).   

option  2 : CTEQ 5L, LO alpha_s(M_Z) = 0.127 
(slightly out of date; many tunes are based on it).   

option  3 : MRST LO* (2007), 
NLO alpha_s(M_Z) = 0.12032.   

option  4 : MRST LO** (2008), 
NLO alpha_s(M_Z) = 0.11517.   

option  5 : MSTW 2008 LO (central member), 
LO alpha_s(M_Z) = 0.13939.   

option  6 : MSTW 2008 NLO (central member), 
LO alpha_s(M_Z) = 0.12018.   

option  7 : CTEQ6L, NLO alpha_s(M_Z) = 0.1180.   

option  8 : CTEQ6L1, LO alpha_s(M_Z) = 0.1298.   

option  9 : CTEQ66.00 (NLO, central member), 
NLO alpha_s(M_Z) = 0.1180.   

option  10 : CT09MC1, LO alpha_s(M_Z) = 0.1300.   

option  11 : CT09MC2, NLO alpha_s(M_Z) = 0.1180.   

option  12 : CT09MCS, NLO alpha_s(M_Z) = 0.1180.   

option  13 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.130.
   

option  14 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.119.
   

option  15 : NNPDF2.3 QCD+QED NLO alpha_s(M_Z) = 0.119.
   

option  16 : NNPDF2.3 QCD+QED NNLO alpha_s(M_Z) = 0.119. 
   
   
 

flag   PDF:useHardLHAPDF   
 (default = off)

If off then the choice of proton PDF is based on hardpPDFset 
above. If on then it is instead based on the choice of 
hardLHAPDFset and hardLHAPDFmember below. 
Note that if you want to use LHAPDF here, and you also use LHAPDF 
for the "normal" PDF set, then LHAPDF must have been compiled so as to 
handle (at least) two concurrent sets, with the configure statement 
--with-max-num-pdfsets=2. 
   
 

word   PDF:hardLHAPDFset   
 (default = MRST2004FF4lo.LHgrid)

Name of proton PDF set from LHAPDF to be used. 
   
 

mode   PDF:hardLHAPDFmember   
 (default = 0; minimum = 0)

Further choice of a specific member from the set picked above. 
   
 

 
Note that there is no separate equivalent of the 
PDF:extrapolateLHAPDF flag specifically for the hard 
PDF. Since LHAPDF only has one global flag for extrapolation or not, 
the choice for the normal PDF's also applies to the hard ones. 
 

Parton densities for pions
 
 
The parton densities of the pion are considerably less well known than 
those of the proton. There are only rather few sets on the market, 
and none particularly recent. Only one comes built-in, but others can 
be accessed from LHAPDF. Input parametrizations are for the pi+. 
From this the pi- is obtained by charge conjugation and the 
pi0 from averaging (half the pions have d dbar 
valence quark content, half u ubar. 
 

 
Much of the switches are taken over from the proton case, with obvious 
modifications; therefore the description is briefer. Currently we have 
not seen the need to allow separate parton densities for hard processes. 
When using LHAPDF the PDF:extrapolateLHAPDF switch of the 
proton also applies to pions. 
  

mode   PDF:piSet   
 (default = 1; minimum = 1; maximum = 1)

Internal parton densities that can be used for pion beams, currently with 
only one choice. 

option  1 : GRV 92 L.   
   
 

flag   PDF:piUseLHAPDF   
 (default = off)

If off then the choice of proton PDF is based on PDF:piSet 
above. If on then it is instead based on the choice of 
PDF:piLHAPDFset and PDF:piLHAPDFmember below. 
   
 

word   PDF:piLHAPDFset   
 (default = OWPI.LHgrid)

Name of pion PDF set from LHAPDF to be used. You have to choose from the 
 
list of available sets. 
   
 

mode   PDF:piLHAPDFmember   
 (default = 0; minimum = 0)

Further choice of a specific member from the set picked above. 
   
 

Parton densities for Pomerons
 
 
The Pomeron is introduced in the description of diffractive events, 
i.e. a diffractive system is viewed as a Pomeron-proton collision at a 
reduced CM energy. Here the PDF's are even less well known. 
Most experimental parametrizations are NLO, which makes them less 
well suited for Monte Carlo applications. Furthermore note that 
the momentum sum is arbitrarily normalized to a non-unity value. 
 

mode   PDF:PomSet   
 (default = 6; minimum = 1; maximum = 6)

Parton densities that can be used for Pomeron beams. 

option  1 : Q^2-independent parametrizations 
xf(x) = N_ab x^a (1 - x)^b, where N_ab ensures 
unit momentum sum. The a and b parameters can be 
set separately for the gluon and the quark distributions. The 
momentum fraction of gluons and quarks can be freely mixed, and 
production of s quarks can be suppressed relative to 
that of d and u ones, with antiquarks as likely 
as quarks. See further below how to set the six parameters of this 
approach. 
   

option  2 : pi0 distributions, as specified in the 
section above. 
   

option  3 : the H1 2006 Fit A NLO Q^2-dependent 
parametrization, based on a tune to their data [H1P06], 
rescaled by the factor PomRescale below. 
   

option  4 : the H1 2006 Fit B NLO Q^2-dependent 
parametrization, based on a tune to their data [H1P06], 
rescaled by the factor PomRescale below. 
   

option  5 : the H1 2007 Jets NLO Q^2-dependent 
parametrization, based on a tune to their data [H1P07], 
rescaled by the factor PomRescale below. 
   

option  6 : the H1 2006 Fit B LO Q^2-dependent 
parametrization, based on a tune to their data [H1P06], 
rescaled by the factor PomRescale below. 
   
   
 

parm   PDF:PomGluonA   
 (default = 0.; minimum = -0.5; maximum = 2.)

the parameter a in the ansatz xg(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 

parm   PDF:PomGluonB   
 (default = 3.; minimum = 0.; maximum = 10.)

the parameter b in the ansatz xg(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 

parm   PDF:PomQuarkA   
 (default = 0.; minimum = -0.5; maximum = 2.)

the parameter a in the ansatz xq(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 

parm   PDF:PomQuarkB   
 (default = 3.; minimum = 0.; maximum = 10.)

the parameter b in the ansatz xq(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 

parm   PDF:PomQuarkFrac   
 (default = 0.2; minimum = 0.; maximum = 1.)

the fraction of the Pomeron momentum carried by quarks 
for option 1 above, with the rest carried by gluons. 
   
 

parm   PDF:PomStrangeSupp   
 (default = 0.5; minimum = 0.; maximum = 1.)

the suppression of the s quark density relative to that of the 
d and u ones for option 1 above. 
   
 

parm   PDF:PomRescale   
 (default = 1.0; minimum = 0.5; maximum = 5.0)

Rescale the four H1 fits above by this uniform factor, e.g. to bring 
up their momentum sum to around unity. By default all three have 
a momentum sum of order 0.5, suggesting that a factor around 2.0 
should be used. You can use examples/main51.cc to get 
a more precise value. Note that also other parameters in the 
diffraction framework may need to 
be retuned when this parameter is changed. 
   
 

Parton densities for leptons
 
 
For electrons/muons/taus there is no need to choose between different 
parametrizations, since only one implementation is available, and 
should be rather uncontroversial (apart from some technical details). 
However, insofar as e.g. e^+ e^- data often are corrected 
back to a world without any initial-state photon radiation, it is 
useful to have a corresponding option available here. 
 

flag   PDF:lepton   
 (default = on)

Use parton densities for lepton beams or not. If off the colliding 
leptons carry the full beam energy, if on part of the energy is 
radiated away by initial-state photons. In the latter case the 
initial-state showers will generate the angles and energies of the 
set of photons that go with the collision. In addition one collinear 
photon per beam carries any leftover amount of energy not described 
by shower emissions. If the initial-state showers are switched off 
these collinear photons will carry the full radiated energy. 
   
 

 
Neutrinos are always taken pointlike. Do note that the phase space 
selection machinery currently does not allow one resolved and one 
unresolved beam. For lepton-neutrino collisions to work you must 
therefore set PDF:lepton = off. 
 

Incoming parton selection
 
 
There is one useful degree of freedom to restrict the set of incoming 
quark flavours for hard processes. It does not change the PDF's as such, 
only which quarks are allowed to contribute to the hard-process cross 
sections. Note that separate but similarly named modes are available 
for multiparton interactions and spacelike showers. 
 

mode   PDFinProcess:nQuarkIn   
 (default = 5; minimum = 0; maximum = 5)

Number of allowed incoming quark flavours in the beams; a change 
to 4 would thus exclude b and bbar as incoming 
partons, etc. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/LeftRightSymmetryProcesses.html0000644000175000017500000002034012357553535022224 0ustar  sunsun

Left-Right-Symmetry Processes




 

Left-Right-Symmetry Processes
 
 
At current energies, the world is left-handed, i.e. the Standard Model 
contains an SU(2)_L group. Left-right symmetry at some larger 
scale implies the need for an SU(2)_R group. Thus the particle 
content is expanded by right-handed Z_R^0 and W_R^+- 
and right-handed neutrinos. The Higgs fields have to be in a triplet 
representation, leading to doubly-charged Higgs particles, one set for 
each of the two SU(2) groups. Also the number of neutral and 
singly-charged Higgs states is increased relative to the Standard Model, 
but a search for the lowest-lying states of this kind is no different 
from e.g. the freedom already accorded by the MSSM Higgs scenarios. 
 

 
PYTHIA implements the scenario of [Hui97]. 
 

 
The W_R^+- has been implemented as a simple copy of the 
ordinary W^+-, with the exception that it couples to 
right-handed neutrinos instead of the ordinary left-handed ones. 
Thus the standard CKM matrix is used in the quark sector, and the 
same vector and axial coupling strengths, leaving only the mass as 
free parameter. The Z_R^0 implementation (without interference 
with the photon or the ordinary Z^0) allows decays both to 
left- and right-handed neutrinos, as well as other fermions, according 
to one specific model ansatz. Obviously both the W_R^+- 
and the Z_R^0 descriptions are  likely to be simplifications, 
but provide a starting point. 
 

 
For the doubly-charged Higgs bosons, the main decay modes implemented are 
H_L^++ → W_L^+ W_L^+, l_i^+ l_j^+  (i, j generation 
indices) and H_R^++ → W_R^+ W_R^+, l_i^+ l_j^+. 
 

 
The right-handed neutrinos can be allowed to decay further. Assuming them 
to have a mass below that of W_R^+-, they decay to three-body 
states via a virtual W_R^+-, nu_Rl → l+- f fbar', 
where both lepton charges are allowed owing to the Majorana character 
of the neutrinos. If there is a significant mass splitting, also 
sequential decays nu_Rl → l+- l'-+  nu'_Rl are allowed. 
Currently the decays are isotropic in phase space. If the neutrino 
masses are close to or above the W_R^ ones, this description 
has to be substituted by a sequential decay via a real W_R^ 
(not implemented, but actually simpler to do than the one here). 
 
 

Production processes
 
 
A few different production processes have been implemented, which normally 
would not overlap and therefore could be run together. 
 

flag   LeftRightSymmmetry:all   
 (default = off)

Common switch for the group of implemented processes within a 
left-right-symmetric scenario. 
   
 

flag   LeftRightSymmmetry:ffbar2ZR   
 (default = off)

Scatterings f fbar → Z_R^0. 
Code 3101. 
   
 

flag   LeftRightSymmmetry:ffbar2WR   
 (default = off)

Scatterings . 
Code 3102. 
   
 

flag   LeftRightSymmmetry:ll2HL   
 (default = off)

Scatterings l_i l_j → H_L^--. 
Code 3121. 
   
 

flag   LeftRightSymmmetry:lgm2HLe   
 (default = off)

Scatterings l_i gamma → H_L^-- e^+. 
Code 3122. 
   
 

flag   LeftRightSymmmetry:lgm2HLmu   
 (default = off)

Scatterings l_i gamma → H_L^-- mu^+. 
Code 3123. 
   
 

flag   LeftRightSymmmetry:lgm2HLtau   
 (default = off)

Scatterings l_i gamma → H_L^-- tau^+. 
Code 3124. 
   
 

flag   LeftRightSymmmetry:ff2HLff   
 (default = off)

Scatterings f_1 f_2 → H_L^-- f_3 f_4 via WW fusion. 
Code 3125. 
   
 

flag   LeftRightSymmmetry:ffbar2HLHL   
 (default = off)

Scatterings f fbar →  H_L^++ H_L^--. 
Code 3126. 
   
 

flag   LeftRightSymmmetry:ll2HR   
 (default = off)

Scatterings l_i l_j → H_R^--. 
Code 3141. 
   
 

flag   LeftRightSymmmetry:lgm2HRe   
 (default = off)

Scatterings l_i gamma → H_R^-- e^+. 
Code 3142. 
   
 

flag   LeftRightSymmmetry:lgm2HRmu   
 (default = off)

Scatterings l_i gamma → H_R^-- mu^+. 
Code 3143. 
   
 

flag   LeftRightSymmmetry:lgm2HRtau   
 (default = off)

Scatterings l_i gamma → H_R^-- tau^+. 
Code 3144. 
   
 

flag   LeftRightSymmmetry:ff2HRff   
 (default = off)

Scatterings f_1 f_2 → H_R^-- f_3 f_4 via WW fusion. 
Code 3145. 
   
 

flag   LeftRightSymmmetry:ffbar2HRHR   
 (default = off)

Scatterings f fbar →  H_R^++ H_R^--. 
Code 3146. 
   
 

Parameters
 
 
The basic couplings of the model are 
 

parm   LeftRightSymmmetry:gL   
 (default = 0.64; minimum = 0.0)

lefthanded coupling g_L = e / sin(theta). 
   
 

parm   LeftRightSymmmetry:gR   
 (default = 0.64; minimum = 0.0)

righthanded coupling g_R, assumed the same as g_L. 
   
 

parm   LeftRightSymmmetry:vL   
 (default = 5.; minimum = 0.0)

vacuum expectation value v_L (in GeV) for the left-triplet. 
   
 

 
The corresponding vacuum expectation value v_R is assumed 
given by v_R = sqrt(2) M_WR / g_R and is not stored explicitly. 
 

 
The Yukawa couplings of a lepton pair to a H^--, assumed the 
same for H_L^-- and H_R^--, is described by a symmetric 
3-by-3 matrix. The default matrix is dominated by the diagonal elements 
and especially by the tau tau one. 
 

parm   LeftRightSymmmetry:coupHee   
 (default = 0.1; minimum = 0.0)

Yukawa coupling for H^-- → e- e-. 
   
 

parm   LeftRightSymmmetry:coupHmue   
 (default = 0.01; minimum = 0.0)

Yukawa coupling for H^-- → mu- e-. 
   
 

parm   LeftRightSymmmetry:coupHmumu   
 (default = 0.1; minimum = 0.0)

Yukawa coupling for H^-- → mu- mu-. 
   
 

parm   LeftRightSymmmetry:coupHtaue   
 (default = 0.01; minimum = 0.0)

Yukawa coupling for H^-- → tau- e-. 
   
 

parm   LeftRightSymmmetry:coupHtaumu   
 (default = 0.01; minimum = 0.0)

Yukawa coupling for H^-- → tau- mu-. 
   
 

parm   LeftRightSymmmetry:coupHtautau   
 (default = 0.3; minimum = 0.0)

Yukawa coupling for H^-- → tau- tau-. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/ProcessSelection.html0000644000175000017500000001354412357553535020167 0ustar  sunsun

Process Selection




 

Process Selection
 
 
There is no way PYTHIA could contain all processes of interest, 
neither in terms of potential physics topics nor in terms of 
high-multiplicity final states. What exists is a reasonably 
complete setup of all 2 → 1 and 2 → 2 
processes within the Standard Model, plus some examples of 
processes beyond that, again for low multiplicities. Combined with 
the PYTHIA parton showers, this should be enough to get a flying 
start in the study of many physics scenarios. 
Other processes could be fed in via the 
Les Houches Accord 
or be implemented as a 
Semi-Internal Process. 
In the latter case the existing processes would act as obvious 
templates. 
 

 
By default all processes are switched off. You should switch on 
those you want to simulate. This may be done at two (occasionally 
three) levels, either for each individual process or for a group of 
processes. That is, a process is going to be generated either if its 
own flag or its group flag is on. There is no built-in construction 
to switch on a group and then switch off a few of its members. 
 

 
Each process is assigned an integer code. This code is not used in 
the internal administration of events (so having the same code for 
two completely different processes would not be a problem), but only 
intended to allow a simpler user separation of different processes. 
Also the process name is available, as a string. 
 

 
To ease navigation, the list of processes has been split into several 
separate pages, by main topic. The classification is hopefully 
intuitive, but by no means unambiguous. For instance, essentially 
all processes involve QCD, so the "QCD processes" are the ones that 
only involve QCD. (And also that is not completely true, once one 
includes all that may happen in multiparton interactions.) On these 
separate pages also appear the settings that are completely local 
to that particular process class, but not the ones that have a 
broader usage. 
 

QCD Processes
 
 
QCD processes fall in two main categories: soft and hard. The soft ones 
contain elastic, diffractive and "minimum-bias" events, together 
covering the total cross section. Hard processes are the normal 
2 → 2 ones, including charm and bottom production. 

Reserved code range: 101 - 199. 
 

Electroweak Processes
 
 
Prompt-photon, gamma^*/Z^0 and W^+- production, 
plus a few processes with t-channel boson exchange. 

Reserved code range: 201 - 299. 
 

Onia Processes
 
 
Colour singlet and octet production of charmonium and bottomonium. 

Reserved code range: 401 - 499 for charmonium and 
501 - 599 for bottomonium. 
 

Top Processes
 
 
Top production, singly or doubly. 

Reserved code range: 601 - 699. 
 

Fourth-Generation 
Processes
 
 
Production of hypothetical fourth-generation fermions. 

Reserved code range: 801 - 899. 
 

Higgs Processes
 
 
Higgs production, within or beyond the Standard Model. 
See section on Left-Right-Symmetry processes for doubly charged Higgs bosons. 

Reserved code range: 901 - 999 for a Standard Model Higgs 
and 1001 - 1199 for MSSM Higgs bosons. 
 

SUSY Processes
 
 
Production of supersymmetric particles, currently barely begun. 

Reserved code range: 1001 - 2999. (Whereof 1001 - 1199 
for Higgs bosons; see above.) 
 

New-Gauge-Boson 
Processes
 
 
Production of new gauge bosons such as Z' and W'. 

Reserved code range: 3001 - 3099. 
 

Left-Right-Symmetry 
Processes
 
 
Production of righthanded Z_R and W_R bosons and of 
doubly charged Higgs bosons. 

Reserved code range: 3101 - 3199. 
 

Leptoquark Processes
 
 
Production of a simple scalar leptoquark state. 

Reserved code range: 3201 - 3299. 
 

Compositeness Processes
 
 
Production of excited fermion states and contact-interaction modification 
to interactions between fermions (excluding technicolor; see below). 

Reserved code range: 4001 - 4099. 
 

Technicolor Processes
 
 
Production of technicolor particles and modifications of QCD processes 
by technicolor interactions. Does not exist yet. 

Reserved code range: 4101 - 4199. 
 

Hidden Valley Processes
 
A scenario for the pair production of new particles with couplings 
under a new gauge group, with invisible gauge bosons. Radiation of 
these gauge bosons is included in the standard final-state parton 
shower. 

Reserved code range: 4901 - 4999. 
 

Extra-Dimensional 
Processes
 
 
A vast area, here represented by the production of a Randall-Sundrum 
excited graviton state and a Kaluza-Klein gluon, a Kaluza-Klein tower 
of gamma/Z^0 excitations in one TeV^- sized extra dimension, 
several Large Extra Dimension processes, and a few related Unparticle 
processes. 

Reserved code range: 5001 - 5099. 
 


 
 
 
pythia8-8.1.86.orig/htmldoc/HadronLevelStandalone.html0000644000175000017500000003070212357553536021113 0ustar  sunsun

Hadron-Level Standalone




 

Hadron-Level Standalone
 
 
The Les Houches Accord allows external process-level configurations 
to be fed in, for subsequent parton-level and hadron-level generation 
to be handled internally by PYTHIA. There is no correspondingly 
standardized interface if you have external events that have also 
been generated through the parton-level stage, so that only the 
hadron-level remains to be handled. A non-standard way to achieve this 
exists, however, and can be useful both for real applications and 
for various tests of the hadronization model on its own. 
 

 
The key trick is to set the flag ProcessLevel:all = off. 
When pythia.next() is called it then does not try to 
generate a hard process. Since there are no beams, it is also not 
possible to perform the normal PartonLevel step. 
(It is still possible to generate final-state radiation, but this 
is not automatic. It would have to be done by hand, using the 
pythia.forceTimeShower(...) method, before 
pythia.next() is called.) 
Thus only the HadronLevel methods are 
called, to take the current content of the event record stored in 
pythia.event as a starting point for any hadronization 
and decays that are allowed by the normal parameters of this step. 
Often the input would consist solely of partons grouped into colour 
singlets, but also (colour-singlet) particles are allowed. 
 

 
To set up all the parameters, a pythia.init() call has 
to be used, without any arguments. In brief, the structure of the 
main program therefore should be something like 

 
  Pythia pythia;                               // Declare generator. 
  Event& event = pythia.event                  // Convenient shorthand. 
  pythia.readString("ProcessLevel:all = off"); // The trick! 
  pythia.init();                               // Initialization. 
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) { 
    // Insert filling of event here! 
    pythia.next();                             // Do the hadron level. 
  } 

 
Of course this should be supplemented by analysis of events, error checks, 
and so on, as for a normal PYTHIA run. The unique aspect is how to fill 
the event inside the loop, before pythia.next() 
is called. 
 

Input configuration
 
 
To set up a new configuration the first step is to throw away the current 
one, with event.reset(). This routine will also reserve 
the zeroth entry in the even record to represent the event as a whole. 
 

 
With the event.append(...) methods a new entry is added at the 
bottom of the current record, i.e. the first time it is called entry 
number 1 is filled, and so on. The append  method basically 
exists in four variants, either without or with history information, 
and with four-momentum provided either as a Vec4 four-vector 
or as four individual components: 

 
  append( id, status, col, acol, p, m) 
  append( id, status, col, acol, px, py, pz, e, m) 
  append( id, status, mother1, mother2, daughter1, daughter2, col, acol, p, m) 
  append( id, status, mother1, mother2, daughter1, daughter2, col, acol, px, py, pz, e, m) 

 
The methods return the index at which the entry has been stored, 
but normally you would not use this feature. 
 

 
You can find descriptions of the input variables 
here. 
The PDG particle code id and the Les Houches Accord colour 
col and anticolour acol tags must be set 
correctly. The four-momentum and mass have to be provided in units of GeV; 
if you omit the mass it defaults to 0. 
 

 
Outgoing particles that should hadronize should be given status code 23. 
Often this is the only status code you need. You could e.g. also fill in 
incoming partons with -21 and intermediate ones with -22, if you so wish. 
Usually the choice of status codes is not crucial, so long as you recall 
that positive numbers correspond to particles that are still around, while 
negative numbers denote ones that already hadronized or decayed. However, 
so as not to run into contradictions with the internal PYTHIA checks 
(when Check:event = on), or with external formats such as 
HepMC, we do recommend the above codes. When pythia.next() 
is called the positive-status particles that hadronize/decay get the sign 
of the status code flipped to negative but the absolute value is retained. 
The new particles are added with normal PYTHIA status codes. 
 

 
For normal hadronization/decays in pythia.next() the 
history encoded in the mother and daughter indices is not used. 
Therefore the first two append methods, which set all these 
indices vanishing, should suffice. The subsequent hadronization/decays 
will still be properly documented. 
 

 
The exception is when you want to include junctions in your string 
topology, i.e. have three string pieces meet. Then you must insert in 
your event record the (decayed) particle that is the reason for the 
presence of a junction, e.g. a baryon beam remnant from which several 
valence quarks have been kicked out, or a neutralino that underwent a 
baryon-number-violating decay. This particle must have as daughters 
the three partons that together carry the baryon number. 
  

 
The sample program in main21.cc illustrates how you can work 
with this facility, both for simple parton configurations and for more 
complicated ones with junctions. 
 

 
As an alternative to setting up a topology with the methods above, 
a Les Houches Event File (LHEF) 
can also provide the configurations, using the "no-beams" extension. 
For parsing reasons the <init> and 
</init> tags need to be present as two separate 
lines, but there need not be anything between them. If there is,
then the beam identities should be picked to be 0. A standard
<LesHouchesEvents version="1.0"> line must also
be at the top of the file. For the rest only the 
<event>....</event> blocks need to be present, 
one for each event. You should select Beams:frameType = 4
and provide the file name in Beams:LHEF, but setting  
ProcessLevel:all = off here is superfluous since the  
absence of beams is enough to make this apparent. Needless to say, an 
externally linked LHAup class works as well as an LHEF, 
with Beams:frameType = 5. 
 

 
The event information to store in the LHEF, or provide by the 
LHAup, is essentially the same as above. The only 
difference is in status codes: outgoing particles should have 1 
instead of 23, and intermediate resonances 2 instead of -22. 
Incoming partons, if any, are -1 instead of -21. 
 

Extensions to resonance decays
 
 
With the above scheme, pythia.next() will generate 
hadronization, i.e. string fragmentation and subsequent decays of 
normal unstable particles. Alternatively it could be used to
decay resonances, i.e. 
W, Z, top, Higgs, SUSY and other massive particles. 
 

 
The default when a resonance is encountered is to decay it, let the 
decay products shower, and finally hadronize the partons. Should a
decay sequence already be provided at input, this sequence will 
be used as input for the showers, which are handled consecutively,
followed by hadronization. Thus, a Higgs could be provided alone, 
or decaying to a pair of W bosons, or the same with the 
W's decaying further to fermion pairs. Needless to say,
correct process-specific angular correlations in decays should not 
be expected when the process is unspecified.  


 
If you do not want resonances to decay then you can use the 
ProcessLevel:resonanceDecays = off setting.
If instead you want them to decay but not shower, you can 
use either PartonLevel:FSR = off or 
PartonLevel:FSRinResonances = off. A warning here 
is that, generally, it is not a good idea to provide a part of the
shower history but not all, e.g.  Z^0 → q qbar g:
it is not straightforward to avoid doublecouning or other problems
within this simpler alternative to a full-scale event generation.
 

 
The input configuration has to follow the rules described above, 
i.e. ProcessLevel:all = off should be set for internal 
input, but is not necessary for LHEF input. It is possible to combine 
several resonances, and other coloured or uncoloured particles into 
the same event. Partonic daughters of resonances would then shower, 
but other partons not. It may be possible to fool the program, 
however, since this is not a fully tested core functionality, 
so don't combine wildly if there is no reason to.

 

Repeated hadronization or decay
 
 
An alternative approach is possible with the 
pythia.forceHadronLevel() routine. This method does 
a call to the HadronLevel methods, irrespective of the 
value of the HadronLevel:all flag. If you hadronize 
externally generated events it is equivalent to a 
pythia.next() call with 
ProcessLevel:all = off. 
 

 
This method truly sticks to the hadron level, and thus cannot handle 
resonance decays.
 

 
The similarity of names indicates that 
pythia.forceTimeShower( int iBeg, int iEnd, double pTmax, 
int nBranchMax = 0) is intended to belong to the same set of 
work-by-hand methods. Here iBeg and iEnd 
give the range of partons that should be allowed to shower, 
pTmax the maximum pT scale of emissions, 
and a nonzero nBranchMax a maximum number of allowed 
branchings. Additionally, a scale has to be set for each 
parton that should shower, which requires an additional final argument 
to the append methods above. This scale limits the maximum 
pT allowed for each parton, in addition to the global 
pTmax. When not set the scale defaults to 0, meaning no 
radiation for that parton. 
 

 
The real application instead is for repeated hadronization of the same 
PYTHIA process- and parton-level event. This may for some studies 
help to save time, given that these two first step are more 
time-consuming than the hadronization one. 
 

 
For repeated hadronization you should first generate an event as usual, 
but with HadronLevel:all = off. This event you can save 
in a temporary copy, e.g. Event savedEvent = pythia.event. 
Inside a loop you copy back with pythia.event = savedEvent, 
and call pythia.forceHadronLevel() to obtain a new 
hadronization history. 
 

 
A more limited form of repetition is if you want to decay a given kind 
of particle repeatedly, without having to generate the rest of the event 
anew. This could be the case e.g. in B physics applications. 
Then you can use the pythia.moreDecays() method, which 
decays all particles in the event record that have not been decayed 
but should have been done so. The 
pythia.particleData.mayDecay( id, false/true) method 
may be used to switch off/on the decays of a particle species 
id, so that it is not decayed in the 
pythia.next() call but only inside a loop over a number of 
tries. 
 

 
Between each loop the newly produced decay products must be 
removed and the decayed particle status restored to undecayed. 
The former is simple, since the new products are appended to the 
end of the event record: event.saveSize() saves the 
initial size of the event record, and event.restoreSize() 
can later be used repeatedly to restore this original size, which means 
that the new particles at the end are thrown away. The latter is more 
complicated, and requires the user to identify the positions of all 
particles of the species and restore a positive status code with 
event[i].statusPos(). 
 

 
The main15.cc program illustrates both these methods, 
i.e. either repeated hadronization or repeated decay of PYTHIA 
events. 
 


 
 
pythia8-8.1.86.orig/htmldoc/CKKWLMerging.html0000644000175000017500000016562512357553536017100 0ustar  sunsun 


CKKW-L Merging




 

CKKW-L Merging
 
 
CKKW-L merging [Lon01] allows for a consistent merging of parton 
showers with 
matrix elements to include multiple well-separated partons. The 
algorithm implemented  in PYTHIA is described in [Lon11]. To 
perform matrix element merging,  the user has to supply LHE 
files [Alw07] for the hard process  and the corresponding 
process with up to N additional jets. 
 

 The usage of the merging procedure is illustrated in a few 
example main  programs 
(main81.cc, main82.cc, 
main83.cc, main84.cc and main85.cc, 
together with the input files main81.cmnd, 
main82.cmnd, main84.cmnd and 
main85.cmnd). These examples should of course only serve 
as  an illustration, and as such will not make use of the merging in 
all  possible ways. For full generality, the example programs link to 
LHAPDF,  FastJet and HepMC. Of course the user is welcome to  remove 
these dependencies. To remove the FastJet dependence, the functions 
calculating example observables have to be deleted. Removing the 
LHAPDF  dependence requires changing the cmnd input files to choose an 
inbuilt PDF,  as outlined in the 
PDF documentation.  The 
HepMC dependence can be removed by erasing the code allowing for HepMC 
output. 
 

 Please note that a detailed tutorial on merging in Pythia is available 
from 
 
http://home.thep.lu.se/~torbjorn/pythia8/mergingworksheet8160.pdf. 
 

 Three very short LHE files (w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe, w+_production_lhc_2.lhe) 
are included in the distribution. These files are not intended for 
physics  studies, but only serve as input for the example main 
programs. For  realistic studies, the user has to supply LHE files. 
 

 In the generation of LHE files, the value of the factorisation 
scale used in  the PDFs is not important, since the cross section will 
be multiplied by ratios  of PDFs to adjust to the PYTHIA starting 
scales. The same is true for the  renormalisation scale (and starting 
value αs(MZ))  used to evaluate 
αs. Coupling and scale choices by the user 
will be transferred to the merging routines. 
 

 Multi-jet events can suffer from infrared divergences in the 
calculation. Sensible matrix element generator (MEG) outputs should not 
contain phase space points in which the calculation is ill-defined, meaning 
infrared regions need to be removed by cuts. This is most conveniently done 
by disallowing the MEG to produce partons below a 
minimal parton-parton separation in a certain jet algorithm. Using 
dedicated cuts to regularise MEG output is of course possible as well. Any 
regularisation criterion defines the matrix element region: The parts of 
phase space in which the fixed order calculation is considered valid and 
preferable to the parton shower. Matrix element merging is combining 
MEG events in the matrix element region with parton shower events in regions 
outside the regularisation cut (often called parton shower region). Because 
the regularisation cut defines a boundary between the matrix element 
and parton shower regions, i.e. the regions to be merged into one inclusive 
sample, it is usually called  merging scale . Since many different 
cut choices may regularise the MEG calculation, many different merging scale 
definitions are possible. A few standard choices are listed below, as well as 
documentation on how to use a user-defined cut criterion. In combining matrix 
element and parton shower regions, the CKKW-L prescription tries to minimise 
the dependence on the merging scale. This can only be achieved if the 
combination of MEG events and parton shower populates the whole phase space. 
Additional cuts on the partons in the LHEF generation should hence be 
avoided as much as possible, meaning that the merging scale cut should always 
pose a more stringent cut than all other cuts on the partons. Of course, if 
the hard process itself is divergent, cuts need to be made. However, this 
should be chosen in such a way as to not exclude regions that will be 
available to the matrix elements with additional jets. An example is QCD 
di-jet production with additional jets: Say the 2 → 2 process is 
regularised with a pTmin cut of pTminCut = 100 GeV, and 
the 2 - >3 sample is regularised with a kTmin-cut of 
kTminCut = 50 GeV. This would mean that when reclustering 
the  emission in the 2 → 3 sample, we could end up with a 
pT value pTminNow of the 2 → 2 configuration with 
pTminCut > pTminNow, which is excluded in the 
2 → 2 sample. Thus, the 2 → 3 sample will include a 
Sudakov factor  not included in the 2 → 2 sample, resulting 
in merging scale  dependencies. Such dependencies can be avoided if 
the additional cuts on the hard process are minimal. 
 

 Of course, additional cuts on electroweak particles are 
allowed. These  should be the same for all samples with 
 0 <= n <= N  additional partons. 
 

 If it is not possible to generate LHE files with minimal cuts, 
the user can choose to use the MergingHooks structures in 
order to decide how much influence to attribute to parton shower 
histories in which the reclustered lowest multiplicity process does 
not pass the matrix element cuts. This is  described below. 
 

 When generating LHE files, we advise against putting 
unstable  particles (e.g. massive gauge bosons) in the final state. 
Rather, specify a  resonance by its decay products, e.g. if Les Houches 
events for the pp → Z + jets → e+e- + jets process 
are desired, generate the matrix element events with the Z decay 
included. From a physical  point of view, on-shell final massive gauge 
bosons should not be considered  part of a hard process, since only 
the boson decay products will be detectable.  Furthermore, 
non-narrow-width approximation contributions are not present if  the 
ME generator only produces on-shell bosons. Interference effects 
between  different production channels for the decay products would 
also be neglected.  These points seem an unnecessary restriction on 
the accuracy of the ME  calculation.  In addition, there is a 
technical reason for this strategy. Since  some matrix element 
generators choose to put additional information on  intermediate 
bosons into Les Houches events, depending on if they pass a certain 
criterion (e.g. being close to the mass shell), without exact 
knowledge of this  criterion, the only feasible way of bookkeeping the 
hard process is by  identifying outgoing decay products. 
 

 Despite these considerations, (massive) gauge bosons in the final state 
are allowed in the hard process definition. This is useful particularly for 
Higgs physics, when different decays of the Higgs boson need to be simulated 
after the LHEF generation. 
 

 For all merging purposes, processes with different charge of 
outgoing leptons are considered different processes. That means 
e.g. that e+νe+ jets and 
e-ν̄e + jets 
are considered independent processes. If the user wishes to generate 
distributions including effects of more than one  process, merged 
samples for all independent processes should be generated  separately 
and added afterwards. Alternatively, to combine simple processes, 
combined LHE files can be used in conjunction with flexible containers (see 
below). 
 

 When the matrix element merging is used to produce HepMC 
[Dob01] files to be analysed  with RIVET [Buc10], 
special care  needs to taken in how the cross section is read by RIVET 
(see below). 
 

 To specify the merging conditions, additionally information on 
the merging scale value and the functional definition of the merging 
scale is needed. A few  standard definitions of merging scales are 
available. We hope this makes the user interface less cumbersome. 
 

 Different choices intrinsic to the CKKW-L merging procedure might 
be relevant for the user as well. The base 
class MergingHooks gives the user the opportunity to 
define the functional form of the merging scale.  In the following, 
the usage of the merging machinery to consistently include LHE files 
with additional jets into PYTHIA  will be discussed. 
 


 

Merging scale definitions
 
 

 The quickest way to include processes with additional jets is to 
produce LHE files with one of the standard ways to define the merging 
scale. Three standard ways to define a merging scale (minimal kT, 
minimal evolution pT and by three cuts) are implemented. All of these 
prescriptions are equivalent - different definitions have only been introduced 
for the convenience of users, who might be limited by which cuts can be used 
in the generation of LHE files. Below, we describe how to switch on and use 
these different merging scale definitions. 
 

Merging with merging scale defined in kT:
 
 

flag   Merging:doKTMerging   
 (default = off)

If the additional jets in the LHE files have been regulated by 
a kT cut, the user can supply the merging scale definition by 
setting this flag to on. kT here and below means cutting on 
Durham kT for e+e-  collisions, and cutting on 
longitudinally invariant kT for hadronic  collisions. Please note 
that this particular merging scale definition will check kT between 
all pairs of u,d,c,s,b,g partons. 
   
 

 
Currently, the name longitudinally invariant kT is used 
for a few jet recombination algorithms with slightly different 
jet measures. A specific form can be chosen by setting the switch 
 

mode   Merging:ktType   
 (default = 1; minimum = 1; maximum = 3)

Precise functional definition of longitudinally 
invariant kT. For e+e- collisions, Durham kT is 
always defined by the square root of min{ 2*min[  
Ei2, Ej2] * [ 1 - 
cosθij] }, so that this switch will have no effect. 

option  1 :  Longitudinally invariant kT is defined by 
the  square root of the minimum of minimal jet kinematic pT 
(pTkin,min2 = min{ pT,i2 } 
 ) and pTlon,min2 = 
min{ min[ pT,i2, pT,j2] * 
 [ (Δyij)2 + 
(Δφij)2 ] / D2 } , i.e. 
kT = min{ √pTkin,min2, 
 √pTlon,min2 } for hadronic collisions. Note 
that the true rapidity of partons is used. 
   

option  2 : Longitudinally invariant kT is defined by 
the  square root of the minimum of minimal jet kinematic pT 
(pTkin,min2 = min{ pT,i2 
 } ) and pTlon,min2 = 
min{ min[ pT,i2, 
pT,j2] * [ 
(Δηij)2 + 
(Δφij)2 ] / D2 }, i.e. 
kT = min{ √pTkin,min2, 
 √pTlon,min2 } 
for hadronic collisions. Note that the pseudorapidity of partons is used. 
   

option  3 :  Longitudinally invariant kT is defined by 
the  square root of the minimum of minimal jet kinematic pT 
(pTkin,min2 = min{ pT,i2 
 } ) and 
pTlon,min2 = 
min{ min[ pT,i2, 
pT,j2] * [ cosh(Δηij) - 
cos(Δφij) ] / D2 } ,  i.e. 
kT = min{ √pTkin,min2 
, √pTlon,min2 } 
for hadronic collisions. 
   
   
 

parm   Merging:Dparameter   
 (default = 1.0)

The value of the D parameter needed in the definition of 
longitudinally invariant kT separation.
   
 

mode   Merging:nJetMax   
 (default = 0; minimum = 0)

Maximal number of additional jets in the matrix element 
   
 

parm   Merging:TMS   
 (default = 0.0)

The value of the merging scale. The name is inspired by the scale in 
evolution equations, which is often called 't', and the suffix 'MS' stands 
for merging  scale.  In the particular case of kT-merging, this 
would be the value of the kT-cut  in GeV. For any merging scale 
definition, this input is considered the actual value of the merging 
scale. 
   
 

word   Merging:Process   
 (default = void)

The string specifying the hard core process, in MG4/ME notation. 
   
 

 
If e.g. W + jets merging should be performed, set this to 
pp>e+ve (without white spaces or  quotation marks). 
This string may contain resonances in the MG/ME notation, e.g. for merging 
pp→Z W+→q q̄ e+νe + jets, 
the string pp>(z>jj)(w+>e+ve) would be applicable. 
 

 
A lot more flexible hard process definitions are possible. To not dwell too 
much on these details here, we will come back to the process string at the end 
of this section. 
 
 

flag   Merging:doMGMerging   
 (default = off)

Even easier, but highly non-general, is to perform the merging with 
MadGraph/MadEvent-produced LHE files, with a merging scale defined by 
a kT cut.  For this, set this switch to on. The merging scale 
value will be read from  the +1 jet LHE file by searching for the 
string ktdurham, and  extracting the value from  
value  = ktdurham. Also, the hard  process will be read from 
the +0 jet LHE file, from the line containing  the string @1 
(the tag specifying the first process in the  MadGraph process card). 
For this to work, PYTHIA should be initialised on LHE files called 
NameOfYourLesHouchesFile_0.lhe (+0 jet sample) and 
NameOfYourLesHouchesFile_1.lhe (+1 jet sample) and the 
same naming convention for LHE files with two or more additional jets. 
Since for this option, the merging scale value is read from the 
LHEF, no merging scale value needs to be supplied by setting  
Merging:TMS .  Also, the hard process is read from LHEF, the 
input Merging::Process does not have to be defined. 
However, the maximal number of merged jets still has to be supplied by 
setting Merging:nJetMax. 
   
 
 

Merging with merging scale defined in Pythia evolution pT:
 
 
If the LHE file has been regularised by cutting on the minimal Pythia 
evolution pT in the state, this can also be used as a merging scale 
right away. For this, change the switch 
 

flag   Merging:doPTLundMerging   
 (default = off)

The merging scale is then defined by finding the minimal Pythia evolution 
pT between sets of radiator, emitted and recoiler partons. For this 
particular merging scale definition, u,d,c,s,b,g are considered 
partons. The Pythia evolution pT of a single three-parton set is 
defined by 

 
pTevol = zijk(1-zijk) 
   Qij2 for FSR, where i is the radiating 
   parton, j is the emitted parton and k is the recoiler, 
   and 
    Qij2 = 
      (pi + pj)2 , and 
   zijk = 
      xi,jk / (xi,jk + xj,ik) with 
   xi,jk = 
      2 pi (pi + pj + pk) 
        / (pi + pj + pk)2  

 
pTevol = (1-zijk) 
   Qij2 for ISR, where i is the radiating 
   parton, j is the emitted parton and k is the second 
   initial state parton, and 
    Qij2 = 
     -(pi - pj)2 , and 
   zijk = 
     (pi - pj + pk)2 
   / (pi + pk)2 . 
 

 
When using this option, the merging scale is defined by the minimum 
pTevol for all combinations of three partons in the event, 
irrespective of flavour or colour-connections. The merging scale value will 
be read from the Merging:TMS parameter, so that this needs to be 
set just as in the case of the kT-merging prescription. Of course you 
will also need to set Merging:Process and the maximal number of 
additional matrix element jets Merging:nJetMax. 
   
 

Merging with merging scale defined by a combination of cuts:
 
 
It is possible to regularise QCD divergences in a LHE file by applying cuts 
to the kinematical pT of jets (pTi), combined 
with a cut on  ΔRij between jets and a cut on 
invariant mass  Qij of jet pairs. The combination of 
these standard cuts can also serve as a merging scale. For this, use this 
setting 
 

flag   Merging:doCutBasedMerging   
 (default = off)

This switch will use cuts on (pTi), 
 ΔRij  and 
 Qij to define when parton shower emissions are allowed. 
Please note for this particular merging scale definition, only light jets 
(u,d,c,s,g) are checked. 
   
 

 
The values of the cuts will then be read from 
 

parm   Merging:QijMS   
 (default = 0.0)

The value of the invariant mass cut  Qij of pairs of final 
state partons used in the matrix element generation. 
   
 

parm   Merging:pTiMS   
 (default = 0.0)

The value of the minimal transverse momentum cut  pTi on 
final state partons, as used in the matrix element generation. 
   
 

parm   Merging:dRijMS   
 (default = 0.0)

The value of the minimal  ΔRij separation between 
pairs of final state partons used in the matrix element generation, where 
 ΔRij2 = (Δyij)2 + 
(Δφij)2. 
   
 

 
With knowledge of these values, and Merging:doCutBasedMerging, 
Pythia will use these cuts as a separation between matrix element phase space 
and parton shower region. If e.g. the Les Houches Events have been generated 
with the cuts  ΔRij = 0.1 , 
pTi= 20 GeV and  Qij = 40 GeV, set 
Merging:QijMS=40., 
Merging:pTjMS=20., 
Merging:dRijMS=0.1 to perform a cut-based merging. Of course 
you will also need to set Merging:Process and the 
maximal number of additional matrix element jets 
Merging:nJetMax. 
 

Les Houches events outside the matrix element region
 
 

 
Before continuing, we would like to point out that in general, the user 
should make sure that the events in the Les Houches file are actually 
calculated using the regularisation cut definition and value(s) supplied to 
Pythia as merging scale definition and value(s). However, if LH files with 
a large number of events and loose merging scale cuts are available, it 
might be useful to choose a higher merging scale value, e.g. for merging 
scale variations as part of uncertainty assessments. If CKKW-L merging is 
enabled, Pythia will by default check if events read from Les Houches file 
are in the matrix element region as defined by the merging scale definition 
and merging scale value. Events outside the matrix element region will be 
discarded. This will lead to warnings of the form "Les Houches Event 
fails merging scale cut. Cut by rejecting event". These warnings 
should, in this case, rather be regarded as information. 
To change the default behaviour, use the flag 
 

flag   Merging:enforceCutOnLHE   
 (default = on)

This will check if the events read from LHE file are in the matrix element 
region as defined by the merging scale definition and value(s). If on, LHE 
input outside the matrix element region will be rejected. If off, every 
event is assumed to pass the merging scale cut. 
   
 

Defining the hard process
 
 
To perform CKKW-L matrix element merging, the user has to decide on a hard 
process, and communicate this choice to Pythia. This is done by setting the 
input Merging:Process 
  

 
For single processes in the Standard Model or the MSSM, MG4/ME notation is 
applicable. However, for some purposes, using a single simple process 
string is not satisfactory. Mixed W+ and W- events 
in a single LHE file is a common example. For this case, it would of course 
be perfectly allowed to perform twice, once for W+ production and 
once for W- production, and then add the results. Nevertheless, it 
seems reasonable to alleviate difficulties by allowing for less restrictive 
hard process definitions. Two generalisations of the process tag are 
available: Containers and user-defined particle tags. The syntax of these 
settings is described below. 
 

 
In case you want multiple processes in a LHE file to be treated on equal 
footing (e.g. W+ + jets and 
W- + jets), you should use flexible containers do 
specify the hard process. So far, we allow the use of the containers 
LEPTONS, NEUTRINOS, BQUARKS. If you 
use these containers, the hard process definition is relatively flexible, 
meaning that Pythia will attempt a merging of QCD jets for each event in 
the LHE file, and assume that all particles matching one of the containers 
are products of the hard process. This is best explained by examples. 
If you want to have both pp → e+ νe + jets 
and pp → e- ν̄e + jets events in a single 
file, you can set Merging:Process=pp>LEPTONS,NEUTRINOS as hard 
process (note that for readability, you are allowed to use commata to separate 
container names). Combining e.g. the processes 
pp → e+ νe and 
pp → μ+ νμ is possible with the hard process 
definition pp>LEPTONS,NEUTRINOS. 
 

 
For maximal flexibility, the definition of the hard process by these 
containers does not mean that each Les Houches event needs to contain 
particles to match each container. It is enough if one container is matched. 
This means that with the string pp>LEPTONS,NEUTRINOS, you can 
immediately process pp → e+ e-  events mixed with 
pp → e+ νe events, since particles matching at 
least one container can be found in both cases. Another example for the usage 
of containers is mixing pp → e+ νe and 
pp → tt̄ → e+ νe e- ν̄e 
  bb̄. This can be accommodated by the hard process string 
Merging:Process=pp>LEPTONS,NEUTRINOS,BQUARKS. 
 

 
There is however a conceptual limitation to containers: The hard process 
definition is necessary to ensure that when constructing lower multiplicity 
states (that will be used to calculate the correct merging weight), the 
structure of the hard process will be preserved. If e.g. we want the hard 
process to be pp → Z → bb̄ , we should ensure that 
the lowest multiplicity state contains a colour-singlet bb̄-pair. When 
reconstructing intermediate lower multiplicity states from multi-jet matrix 
elements, we should thus always be able to find at least one bb̄-pair. By 
mixing different processes in a LHE file, this requirement might already be 
violated at the level of Les Houches events. Flexible containers cannot give 
strong conditions which flavours should be preserved in the construction of 
the hard process. In order to avoid non-sensible results, it is hence  
assumed that all particles matching any of the containers will be part 
of the lowest multiplicity process. This implies that if you decide to use the 
BQUARKS container, all b-quarks in the LHE file will be 
interpreted as hard process particles, and never as additional radiation. 
 

 
Another way to specify the hard process particles is to explicitly define the 
particle names and identifiers. This is necessary if the matrix element 
merging in Pythia does not contain the particles of interest. To make sure 
that the hard process is still treated correctly, it is possible to define 
particles in the process string. If you e.g. want the hard process to contain 
a particle "zeta~" with PDG identifier "12345", produced in proton collisions, 
you have to include a user-defined particle tag by setting the process string 
to pp>{zeta~,12345}. The  user-defined particle is enclosed in 
curly brackets, with syntax 
{particle_name,particle_identifier}, where "particle_name" 
and "particle_identifier" are the particle name and particle identifier used 
for this particle in the input LHE file. User-defined particles are only 
allowed in the final state. You are free to fix user-defined particles with 
more common ones, as long as user-defined particles are put before more common 
particles in the process string. This means that if you e.g. wanted the hard 
process to contain a graviton in association with a positron and an 
electron-neutrino, you have to define the hard process as 
pp>{G,39}e+ve. 
 

 
Below you can find a list of particles predefined in the merging. If you wish 
to include a hard process with different final state particles, you may use 
the "curly bracket notation" outlined above. 
 

 
The set of incoming particles us limited to: 
e- (electron), e+ (positron), mu- 
(muon), mu+ (antimuon), p (proton, container to 
hold all initial state coloured particles),  p~ (identical to 
p container). 
 

 
The following intermediate particles are allowed: 
a (photon), z (Z boson), 
w- (W- boson), w+ (W+ boson), 
h (scalar Higgs boson), W (container to hold both 
W- and W+ boson), t (top quark), 
t~ (anti-top), 
dl, dl~, ul, ul~, 
sl, sl~, cl, cl~, 
b1, b1~, t1, t1~, 
dr, dr~, ur, ur~, 
sr, sr~, cr, cr~, 
b2, b2~, t2, t2~ 
(all MSSM squarks). 
 

 
We have pre-defined the outgoing particles: 
e+, e-, ve~, 
ve, mu+, mu-, 
vm~, vm, ta+, ta-, 
vt~, vt (all SM leptons and neutrinos), 
j~ (container to hold all final state coloured particles), 
j (container to hold all final state coloured particles), 
NEUTRINOS (container to hold all final state neutrinos and 
anti-neutrinos), LEPTONS (container to hold all final state 
leptons and anti-leptons), BQUARKS (container to hold final 
state b-quarks), d~, d, u~, 
u, s~, s, c~, 
c, b~, b, t~, 
t (all SM quarks), a, z, 
w-, w+ (all SM electro-weak bosons), 
h (scalar Higgs boson), W (container to hold both 
W- and W+ boson), n1 (MSSM neutralino), 
dl~, dl, ul~, ul, 
sl~, sl, cl~, cl, 
b1~, b1, t1~, t1, 
dr~, dr, ur~, ur, 
sr~, sr, cr~, cr, 
b2~, b2, t2~, t2 
(all MSSM squarks). Other outgoing particles are possible if you use the 
"curly bracket notation" described earlier. 
 


 

Histogramming the events
 
After the event has been processed, histograms for observables of interest 
need to be filled. In order to achieve good statistical accuracy for all jet 
multiplicities and all subprocesses contributing to one jet multiplicity, 
generally a fixed number of unit-weighted events is read from each Les 
Houches Event file. To then arrive at the correct prediction, for each of 
these events, histogram bins should be filled with the corresponding cross 
section, or weighted with unit weight and normalised at the end to 
the generated cross section for each jet multiplicity separately. 
 

 Still another, even more important, event weight that has to 
applied on an  event-by-event basis is the CKKW-L-weight. This 
corrective weight is the main  outcome of the merging procedure and 
includes the correct no-emission  probabilities, PDF weights and 
αs factors. This means that the merging 
implementation will generate weighted events. The CKKW-L-weight can be 
accessed by the following function: 
 

 double Info::mergingWeight()   
 
Returns the CKKW-L weight for the current event. 
 

 Note that to avoid confusion, this function does not include the 
the weight of a phase space point (given 
by Info::weight()). This weight will differ from 
unity when reading in weighted Les Houches events. In this case, the 
full weight with which to fill histogram bins is 
Info::mergingWeight() * Info::weight(). 
 

 Finally, to arrive at a correct relative normalisation of the 
contributions from different number of additional jets in the matrix 
element, each histogram should be rescaled with the accepted cross 
section given by 
Info::sigmaGen(). The accepted cross section includes 
the  effect of vetoes generating Sudakov form factors for the matrix 
elements, and  is in general only known after the run. 
 

 This final step can of course be skipped if the accepted cross 
section had been estimated before the histogramming run, and  histogram 
bins had instead been filled with the weight 
Info::mergingWeight() * σest(number of 
additional jets in current ME sample). This is the way HepMC 
events should be weighted to produce correct relative weights of 
events (see below, and particularly examine the example programs 
main84.cc and main85.cc). 
 

 Examples how to use these options are given in main81.cc 
(kT merging), main84.cc (automatic MG/ME merging 
for RIVET usage), and main85.cc (HepMC output for RIVET usage). 
 


 

Merging with user-defined merging scale function
 
 

 For all other merging scale definitions, the procedure is 
slightly more  complicated, since the user has to write a small piece 
of code defining the  merging scale. To allow for a user defined 
procedure, set the input 
 

flag   Merging:doUserMerging   
 (default = off)

General user defined merging on/off. 
   
 

 
Then, set 
the Merging:nJetMax, Merging:TMS 
and Merging:Process input as before. 
 

 Since during execution, PYTHIA needs to evaluate the merging 
scale with the  definition of the user, the user interface is designed 
in a way similar to the 
UserHooks strategy. The class controlling the merging 
scale  definition is called MergingHooks. 
 

Initialisation
 
 

 To initialise the merging with user-defined merging scale, we 
should construct a class derived from MergingHooks, with 
a constructor and destructor 
 

 


MergingHooks::MergingHooks()   

   


virtual MergingHooks::~MergingHooks()   

   
The constructor and destructor do not need to do anything. 
 

 For the class to be called during execution, a pointer to an 
object of the class should be handed in with the 

 
Pythia::setMergingHooksPtr( MergingHooks*) method. 
 
An examples of this procedure are given in main82.cc. 
 

Defining a merging scale
 
 

 Then, in the spirit of the UserHooks class, the user 
needs to  supply the process to be merged by defining a methods to 
evaluate the merging scale variable. 
 


virtual double MergingHooks::tmsDefinition(const Event& event)   

This method will have to calculate the value of the merging scale 
defined in  some variable from the input event record. An example of 
such a function is  given in main82.cc. 
   
 

 The base class MergingHooks contains many functions 
giving  information on the hard process, to make the definition of the 
merging scale as easy as possible: 
 


int MergingHooks::nMaxJets()   

Return the maximum number of additional jets to be merged. 
   
 


int MergingHooks::nHardOutPartons()   

Returns the number of outgoing partons in the hard core process. 
   
 


int MergingHooks::nHardOutLeptons()   

Returns the number of outgoing leptons in the hard core process. 
   
 


int MergingHooks::nHardInPartons()   

Returns the number of incoming partons in the hard core process. 
   
 


int MergingHooks::nHardInLeptons()   

Returns the number of incoming leptons in the hard core process. 
   
 


int MergingHooks::nResInCurrent()   

The number of resonances in the hard process reconstructed from the 
current event. If e.g. the ME configuration was 
pp → (w+→e+ve)(z → mu+mu-)jj, and the ME generator put 
both intermediate bosons into the LHE file, this will return 2. 
   
 


double MergingHooks::tms()   

 Returns the value used as the merging scale. 
   
 

 Filling output histograms for the event then proceeds along the 
lines described above in "Histogramming the events". 
 

 The full procedure is outlined in main82.cc. Special 
care needs to be  taken when the output is stored in the form of HepMC 
files for RIVET usage. 
 

Defining a cut on lowest jet multiplicity events
 
 

 It can sometimes happen that when generating LHE files, a fairly 
restrictive cut has been used when generating the lowest multiplicity 
matrix element  configurations. Then, it can happen that states that 
are (in the generation of a parton shower history) constructed by 
reclustering from higher multiplicity  configurations, do not pass 
this matrix element cut. 
 

 Consider as an example  pure QCD dijet merging, when up to one 
additional jet should be merged.  Three-jet matrix element 
configurations for which the reclustered two-jet state does not pass 
the cuts applied to the two-jet matrix element would never have  been 
produced by showering the two-jet matrix element. This means that the 
three-jet matrix element includes regions of phase space that would 
never have  been populated by the parton shower. Thus, since the 
matrix element phase space is larger than the shower phase space, 
merging scale dependencies are expected.  A priori, this is not 
troublesome, since the aim of matrix element merging is  to include 
regions of phase space outside the range of the parton shower 
approximation into the shower. An example is the inclusion of 
configurations  with only unordered histories. 
 

 Clearly, if the parton shower phase space is very constrained by 
applying  stringent cuts to the two-jet matrix element, merging scale 
dependencies can  become sizable, as was e.g. seen in [Lon11] 
when forcing shower emissions to be ordered both in the evolution 
variable and in rapidity. To  influence the effect of large phase 
space differences for shower emissions and matrix element 
configurations due to LHEF generation cuts, the user has to  write a 
small piece of code overwriting method 
 


virtual double MergingHooks::dampenIfFailCuts(const Event& event)   

multiplicity  reclustered state as an input Event. From this input 
event, the user can then check if matrix element cuts are 
fulfilled. The return value will be internally multiplied to the 
CKKW-L weight of the current event. Thus, if the user wishes  to 
suppress contributions not passing particular cuts, a number smaller 
than  unity can be returned. 
   
 

 Note that this method gives the user access to the lowest 
multiplicity state,  which ( e.g. in the case of incomplete histories) 
does not have to be a 2 → 2 configuration. Also, changing the 
weight of the current event by  hand is of course a major intervention 
in the algorithm, and should be  considered very carefully. Generally, 
if this facility would have to be used extensively, it is certainly 
preferable to be less restrictive when applying  additional, 
non-merging-scale-related cuts to the matrix element. 
 

 An example how to force a cut on lowest multiplicity reclustered 
states for pure QCD matrix element configurations is given by 
main83.cc (to be used with e.g. main82.cmnd). 
 

Influencing the construction of all possible histories
 
 

 Even more powerful - and dangerous - is influencing the construction 
of histories directly. This should only be attempted by expert users. If you 
believe manipulations completely unavoidable, we advise you to take great care 
when redefining the following functions. 
 


virtual bool MergingHooks::canCutOnRecState()   

In the base class this method returns false. If you redefine it 
to return true then the method doCutOnRecState(...) 
will be called for each reclustered state encountered in the generation of 
all possible histories of the matrix element state. 
   
 


virtual bool MergingHooks::doCutOnRecState(const Event& event)   

This routine will be supplied internally with every possible reclustered 
event that can be reached by reclustering any number of partons in 
the matrix element input state. The new, reclustered, states can then be 
analysed. If the method returns false, the history to which the state belongs 
will be treated as if it were unordered, i.e. this path will only be chosen 
if no other histories are available. In this way, the number of histories 
not fulfilling the user criterion will be minimised. 
   
 

 
Clearly, these methods are highly intrusive. It could e.g. happen that no 
history is allowed, which would make merging impossible. One example where 
this method could be useful is if cuts on the core 2 → 2 
processes have to be checked, and the method 
MergingHooks::dampenIfFailCuts(const Event& event) is not 
sufficiently effective. 
 

Defining the hard process matrix element
 
 

 The MergingHooks class also allows the expert user to define the matrix 
element of the hard process, by defining the method 
 


virtual double MergingHooks::hardProcessME(const Event& inEvent)   

This routine will be supplied internally with the reconstructed 
lowest-multiplicity event. From this, it is possible to calculate the squared 
matrix element of the hard process, by using the information stored in the 
event record. The function should return a double value that 
corresponds to the matrix element at the phase space point given by the input 
event record. This number will then be multiplied to the product of splitting 
functions that define the probability of the current path of the parton 
shower history. In this way, the hard process configuration can be taken into 
account when choosing the parton shower history, which is, internally, used 
to generate the "merging weight". 
   
 

 The inclusion of the hard process matrix element into the choice 
of histories becomes relevant when the hard process matrix element has very 
strong phase space dependencies. QCD dijet cross sections for example strongly 
depend on the transverse momentum of the jets. So far, the authors have not 
encountered any changes upon inclusion of the full hard process matrix 
element, even for the QCD dijet case. 
 


 

Matrix element merging and HepMC output for RIVET
 
 
Examples how to produce matrix element merged events to be analysed 
with RIVET are given by main84.cc and main85.cc. 
 

 The main issue is that the output of separate RIVET runs can not 
in general be combined. To perform a matrix element merging, we 
however need to runs over  different LHE files. The solution to this 
problem (so far) is to only perform  one RIVET run for all matrix 
elements, i.e. print the events for all ME parton  multiplicities, 
with the correct weights, to a single HepMC file. Since the correct 
weight includes the cross section of the different samples after 
Sudakov vetoes --- which is not a priori known --- the cross sections 
have to be  estimated in a test run, before the actual production run 
is performed. Finally, the cross section of the last event in the 
HepMC file has to be taken as the  full merged cross section 
sigma_merge = Sum_{i=0}^N Sum_{j=0}*^{nEvents} 
sigma_est(i)*wckkwl(j). 
 

 This procedure is outlined in main84.cc. 
 
Input LHE files with only very inclusive cuts pose further difficulties. For 
such files (which were already addressed under the heading Les Houches 
events outside the matrix element region), the cross section after 
the merging scale cut is not known before the cut is performed. Using Pythia's 
UserHooks facilities, it is possible to produce a valid estimate 
of the cross section after cuts. This however entails a careful cut definition 
by the user, which might become cumbersome for some in-built merging scale 
definitions. A reasonable alternative is using the switch 
 

flag   Merging:doXSectionEstimate   
 (default = off)

If on, estimate cross section after merging scale cut. This switch has to be 
used in conjunction with a merging scale definition (e.g. 
Merging:doPTLundMerging = on). Then, this merging scale 
definition will be used as a cut on the input events. After the requested 
number of Monte Carlo events, the cross section after the cut can be extracted 
by inferring the Info::sigmaGen() method, and the number of 
accepted events by using Info::nAccepted() 
   
 

 
This switch also relies on knowledge on how many partons a LHE file should 
contain. This is important for real-emission kinematics in the case of 
NLO merging. The number of (additional) partons in a LHE file can be set with 
 

mode   Merging:nRequested   
 (default = -1; minimum = -1)

Exact number of additional jets requested for a particular LHE file. If 
a file should for example only contain W+ g g  events, 
this switch should be set to "2" for this LHE file. For NLO merging 
schemes (see NLO Merging), this number has to 
be set. 
   
 

 
The usage of these switches to obtain the necessary cross section estimate is 
illustrated in main85.cc. The example main85.cc 
program is intended as a "front-end" for CKKW-L merging in Pythia8, so we will 
discuss the program briefly. main85.cc should be used together 
with an input file (like main85.cmnd). The executable should be 
invoked with three arguments: the input file, the "name" of the input LHE 
files, and the name of the output HepMC event file. To use the LHE files that 
are shipped with the Pythia distribution, a valid usage would be 

 
./main85.exe ./main85.cmnd ./w_production ./myhepmc.hepmc 

 
If you want to use other input LHE files, note 
that main85.cc assumes the naming 
convention name_tree_#nAdditionalJets.lhe. All settings can 
be included though the input file, so that main85.cc does not 
have to be changed explicitly. main85.cc first switches off 
showers, multiparton interactions and hadronisation, and estimates the cross 
sections (after enforcing the merging scale cut) of samples for different 
numbers of additional jets. Then, showers, MPI and hadronisation are switched 
on again, and the CKKW-L merging procedure is performed. Events will be read 
in a decreasing sequence of jet multiplicities, which also means that e.g. 
events with two additional partons in the LHE file will be printed to the 
HepMC file before events with one additional parton. 
 


 

Further variables
 
 
For more advanced manipulations of the merging machinery, all 
parameter  changes that were investigated in [Lon11] are 
supplied. Please  check [Lon11] for a detailed discussion of 
the switches. 
 

 These switches allow enthusiastic users to perform a systematic 
assessment of the merging prescription. Apart from this, we advise the 
non-expert user to keep the default values. 
 

mode   Merging:nQuarksMerge   
 (default = 5; minimum = 2; maximum = 5)

This switch controls which quarks flavours (labelled by PDG id's) are 
considered additional partons. If e.g. set to 4, then u-, d-, c- and s-quarks 
will be merged, while b-quarks will not be considered in the merging 
(corresponding to a 4-flavour merging scheme). We advise caution when 
changing this number. In particular, please ensure that the allowed flavour 
for additional partons in the input LHE file does not exceed this value, since 
unnecessary double-counting might occur otherwise. 
   
 

flag   Merging:includeMassive   
 (default = on)

If on, use the correct massive evolution variable and massive 
splitting kernels in the reconstruction and picking of parton shower 
histories of the matrix  element. If off, reconstruct evolution 
scales, kinematics and splitting kernels  as if all partons were 
massless. 
   
 

flag   Merging:enforceStrongOrdering   
 (default = off)

If on, preferably pick parton shower histories of the matrix element 
which  have strongly ordered consecutive splittings, i.e. paths in 
which consecutive reclustered evolution scales are separated by a 
user-defined factor. 
   
 

parm   Merging:scaleSeparationFactor   
 (default = 1.0; minimum = 1.0; maximum = 10.0)

The factor by which scales should differ to be classified as strongly 
ordered. 
   
 

flag   Merging:orderInRapidity   
 (default = off)

If on, preferably pick parton shower histories of the matrix element 
with  consecutive splittings ordered in rapidity and pT. 
   
 

flag   Merging:pickByFullP   
 (default = on)

If on, pick parton shower histories of the matrix element by the full 
shower  splitting kernels, including potential ME corrections and 
Jacobians from joined evolution measures. 
   
 

flag   Merging:pickByPoPT2   
 (default = off)

If on, pick parton shower histories of the matrix element by the 
shower  splitting kernels divided by the evolution pT. 
   
 

flag   Merging:pickBySumPT   
 (default = off)

If on, exclusively pick parton shower histories of the matrix element 
for which have the smallest sum of scalar evolution pT for 
consecutive splittings has been calculated. 
   
 

flag   Merging:includeRedundant   
 (default = off)

If on, then also include PDF ratios and αs 
factors in the  splitting probabilities used for picking a parton shower 
history of the matrix  element, when picking histories by the full shower 
splitting probability. As argued in  [Lon11], this should not 
be done since a reweighting with PDF ratios and αs 
factors will be performed. However, it can give useful insight in how 
sensitive the results  are to the prescription on how to choose PS 
histories. 
   
 

parm   Merging:nonJoinedNorm   
 (default = 1.0; minimum = 0.0; maximum = 10.0)

Normalisation factor with which to multiply splitting probability for 
splittings without joined evolution equation. 
   
 

parm   Merging:fsrInRecNorm   
 (default = 1.0; minimum = 0.0; maximum = 10.0)

Normalisation factor with which to multiply splitting probability for 
final state splittings with an initial state recoiler. 
   
 

parm   Merging:aCollFSR   
 (default = 1.0; minimum = 0.0; maximum = 10.0)

Factor with which to multiply the scalar pT of a final state 
splitting, when choosing the history by the smallest sum of scalar 
pT. Default value taken from Herwig++ [Tul09]. 
   
 

parm   Merging:aCollISR   
 (default = 0.9; minimum = 0.0; maximum = 10.0)

Factor with which to multiply the scalar pT of an initial state 
splitting, when choosing the history by the smallest sum of scalar 
pT. Default value taken from Herwig++ [Tul09]. 
   
 

mode   Merging:unorderedScalePrescrip   
 (default = 0; minimum = 0; maximum = 1)

When the parton shower history of the matrix element contains a 
sequence of splittings which are not ordered in evolution pT 
(called an unordered history), this sequence is interpreted as a combined 
emission. Then, a decision on which starting scale for trial emissions 
off reconstructed states in this sequence of unordered splittings has 
to be made. Two options are available: 

option  0 :  Use larger of the two reconstructed (unordered) 
scales as  starting scale. 
   

option  1 :  Use smaller of the two reconstructed (unordered) 
scales as  starting scale. 
   
   
 

mode   Merging:unorderedASscalePrescrip   
 (default = 1; minimum = 0; maximum = 1)

Prescription which scale to use to evaluate αs 
weight for  splittings in a sequence of splittings which are not ordered 
in evolution pT. 

option  0 :  Use the combined splitting scale as argument in 
αs, for both splittings. 
   

option  1 :  Use the true reconstructed scale  as as argument in 
αs, for each splitting separately. 
   
   
 

mode   Merging:unorderedPDFscalePrescrip   
 (default = 0; minimum = 0; maximum = 1)

Prescription which scale to use to evaluate ratios of parton distributions 
for splittings in a sequence of splittings which are not ordered 
in evolution pT. 

option  0 :  Use the combined splitting scale as argument in PDF ratios, 
for both splittings. 
   

option  1 :  Use the true reconstructed scale as argument in PDF 
ratios, for each splitting separately. 
   
   
 

mode   Merging:incompleteScalePrescrip   
 (default = 0; minimum = 0; maximum = 2)

When no complete parton shower history (i.e. starting from a 
2 → 2 process)  for a matrix element with additional jets 
can be found, such a configuration is said to have an incomplete history. 
Since in incomplete histories, not all  shower starting scales are 
determined by clusterings, a prescription for setting the starting scale 
of trial showers in incomplete histories is needed. Three options are 
provided. 

option  0 :  Use factorisation scale as shower starting scale 
for  incomplete histories. 
   

option  1 :  Use sHat as shower starting scale for 
incomplete histories. 
   

option  2 :  Use s as shower starting scale for 
incomplete histories. 
   
   
 

flag   Merging:allowColourShuffling   
 (default = off)

If on, this will allow the algorithm to swap one colour index in the state, 
when trying to find all possible clusterings, if no clustering has been 
found, but more clusterings had been requested. In this way, some incomplete 
histories can be avoided. Generally, we advise the non-expert user to not 
touch this switch, because a slight change in the colour structure can change 
the radiation pattern. To however study the sensitivity of the predictions on 
these effects, allowing for colour reshuffling can be useful. 
   
 

flag   Merging:usePythiaQRenHard   
 (default = on)

If on, this will allow the algorithm to use a dynamical renormalisation scale 
to evaluate the strong couplings of the core hard process in dijet and 
prompt photon events. 
This means that the value of αs used as coupling 
of the hard process in the matrix element generation will be replaced with 
a running coupling evaluated at the geometric mean of the squared transverse 
masses of the two outgoing particles, as is the default prescription in 
Pythia. 
   
 

flag   Merging:usePythiaQFacHard   
 (default = on)

If on, this will allow the algorithm to use a dynamical factorisation scale 
to evaluate parton distributions associated with the hadronic cross section 
of the core hard process in dijet and prompt photon events. 
In the calculation of PDF ratios as part of the CKKW-L weight of an event, 
parton distributions that should be evaluated at the scale of the core 
2 - >2 process will be evaluated using the dynamical factorisation scale 
Pythia would attribute to this process. This means that the hard process 
factorisation scale is set to the smaller of the squared transverse masses 
of the two outgoing particles. 
   
 

flag   Merging:mayRemoveDecayProducts   
 (default = off)

Remove products of resonances in the hard process, in case Pythia generates 
decay products before merging. This makes merging possible even for an 
indeterminate final state, if Pythia itself has produced the decay products. 
The merging methods will instead be invoked on the "non-decayed" event, 
thus removing the limitation to only one decay channel when performing 
the merging. 
This switch is necessary e.g. for slepton pair production in association with 
additional QCD jets, if the input LHE file contains the resonant sleptons, 
and Pythia decides on a decay according to the branching fractions read from 
SLHA input. 
   
 

flag   Merging:allowSQCDClustering   
 (default = off)

Allow clustering of gluon emission off squarks. 
   
 

flag   Merging:allowWClustering   
 (default = off)

Allow clustering of W boson, if interpreted as a final state emission. This 
switch should not be used until electro-weak showers become available. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/Bibliography.html0000644000175000017500000003212112357553536017307 0ustar  sunsun

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pythia8-8.1.86.orig/htmldoc/UpdateHistory.html0000644000175000017500000041161112357553536017505 0ustar  sunsun

Update History




 

Update History
 
 
These update notes describe major updates relative to the baseline 
PYTHIA 8.100 version. However, they are less extensive than the 
corresponding update notes for PYTHIA 6. On the other hand, 
whereas the PYTHIA 6 manual is a static document, the PYTHIA 8 
html/php pages are kept up to date for each subversion. 
 


 
Important note:version 8.160 does introduce some elements of 
backwards incompatibility. Specifically, "multiple interactions", 
abbreviated MI, has been renamed "multiparton interactions", MPI. 
This affects many parts of the code and documentation. Also some 
features are deprecated, although remaining until the end of the 
8.1xx version series. 
 
 

Main news by version
 
 

     
 

  • 8.105: 24 February 2008 

       
 

    • New option to initialize with arbitrary beam directions
       
pythia.init( idA, idB, pxA, pyA, pzA, pxB, pyB, pzB)
      •  
 

    • Added capability to set beam energy spread 
and beam vertex. 

       
Warning: as a consequence, the old Beams group of 
settings has been moved to BeamRemnants, and 
Beams is now instead used for machine beam parameters. 
Therefore also some Main settings of this character have been 
regrouped, as follows: 

       

       8.100 setting   has been moved to  
       

       Main:idA           
     Beams:idA          
       

       Main:idB           
     Beams:idB          
       

       Main:inCMframe     
     (Beams:frameType)  
       

       Main:eCM           
     Beams:eCM          
       

       Main:eA            
     Beams:eA           
       

       Main:eB            
     Beams:eB           
       

       Main:LHEF          
     Beams:LHEF         
       

      •  
 

    • The forceHadronLevel() method introduced for standalone 
hadronization.
      •  
 

    • main15.cc illustrated how either full hadronization or 
only decays of some particles can be looped over for the rest of the 
event retained.
      •  
 

    • The LHAevnt and LHAinit classes have been 
joined into a new LHAup one, with new options that allow 
the writing of a Les Houches Event File.
      •  
 

    • The SusyLesHouches class updated to handle 
SLHA version 2.
      •  
 

    • Updated HepMC conversion routine.
      •  
 

    • The static ErrorMsg class has been removed and 
its functionality moved into the non-static Info class, 
in the renamed Info file.
      •  
 

    • Further reduction of the use of static, with related code changes. 
This should allow to have several almost independent Pythia 
instances. Some static classes still remain, however, notably for 
random number generation and particle properties.
      •  
 

    • Limited capability to use two different Pythia instances 
for signal + pileup event generation, see main19.cc for an 
example.
      •  
 

    • In the Event class the = and 
=+ methods have been overloaded to allow the copying 
or appending of event records. Illustrated in main19.cc.
      •  
 

    • The html and php page formatting improved with 
cascading style sheets.
      •  
 

    • Several minor improvements and new options, including updated configure 
scripts.
      •  
 

     

    •  
 

  • 8.108: 1 May 2008 

       
 

    • Correction in the event record, so that the beam particles in line 
1 and 2 do not have any mother according to the motherList 
method. Previously the "system" entry in line 0 was counted as their 
mother, which gave rise to an unexpected extra vertex in the conversion 
to the HepMC format.
      •  
 

    • Support for HepMC version 1 is removed, to simplify the code and 
reflect the evolution of the field.
      •  
 

    • Status codes are stored in HepMC only as 1 for existing and 2 for 
decayed or fragmented particles (whereas previously the original PYTHIA 
codes were used for the latter).
      •  
 

    • Parton densities are stored in HepMC as xf(x,Q^2) 
rather than the f(x,Q^2) used in (some) previous versions.
      •  
 

    • The SusyLesHouches class has been updated so that reading is fully 
compatible with the SLHA2 standard. 
      •  
 

    • Improved handling of the Higgs width, relevant for massive and thereby 
broad resonance shapes.
      •  
 

    • The matrix elements for neutralino pair production have now been 
completed and checked.
      •  
 

    • Ensure that alpha_strong does not blow up, by introducing 
a minimal scale somewhat above Lambda_3 (roughly where 
alpha_strong = 10).
      •  
 

    • New methods isValence1() and isValence2() 
in the Info class.
      •  
 

    • Protection against division by zero in calculation of decay vertex 
(for zero-mass gluons with zero lifetime, where there should be no 
displacement).
      •  
 

    • A new compilation option -Wshadow is introduced and 
code is rewritten at all places where this option gave warnings.
      •  
 

    • Minor library correction to allow compilation with gcc 4.3.0.
      •  
 

     

    •  
 

  • 8.114: 22 October 2008 

       
 

    • New rescattering description operational (but still experimental) 
for the case that FSR is not interleaved, but saved until after MPI, 
ISR and beam remnants have been handled. This involves much new code 
in several classes.
      •  
 

    • A new class PartonSystems is introduced to 
keep track of which partons in the event record belong to which 
subcollision system, plus some further information on each subsystem. 
It takes over functionality previously found as part of the 
Event class, but leaves room for future growth.
      •  
 

    • Add optional model, wherein an increased pT0 turnoff scale 
for MPI and ISR is used for above-average active events, i.e. events that 
already have several MPI's or ISR emissions.
      •  
 

    • Freeze GRV 94L distribution at small Q^2 to avoid blowup.
      •  
 

    • The pythia.readFile(...) method can now alternatively take 
an istream as argument instead of a filename.
      •  
 

    • Minor bug correction in PartonLevel.cc; the bug could 
(rarely) give a segmentation fault.
      •  
 

     

    •  
 

  • 8.120: 10 March 2009 

       
 

    • New rescattering description further developed, but not yet 
recommended for normal usage.
      •  
 

    • Include new processes for Large Extra Dimensions and Unparticles, 
contributed by Stefan Ask. New test program main28.cc 
illustrates.
      •  
 

    • Include further SUSY processes: neutralino-chargino and 
chargino-chargino pairs. The processes should be valid also 
in the case of non-minimal flavour violation and/or CP violation. 
Expanded machinery to keep track of SUSY parameters.
      •  
 

    • Include backwards evolution of incoming photon as part of the 
SpaceShower initial-state radiation description. This 
allows you to simulate hard collisions where one of the incoming 
partons is a photon. New test program main43.cc 
illustrates.
      •  
 

    • Allow separate mass and transverse momentum cuts when two hard 
subprocesses are generated in the same event.
      •  
 

    • The default value for the border between short- and long-lived 
particles has been changed from 1 mm to 10 mm, to better conform with 
LHC standards, see  here. 
The default is still to let all unstable particles decay.
      •  
 

    • New ISR matrix-element correction to f → f gamma 
in single W production.
      •  
 

    • New method Event::statusHepMC returns the status 
code according to the HepMC conventions agreed in February 2009. 
The interface to HepMC now writes out status according to this 
convention.
      •  
 

    • Add capability to link to FastJet, with expanded configure script 
and Makefile, and with main61.cc as new example.
      •  
 

    • Update of Makefile.msc, with added support for latest 
Visual C++ Express edition and use of regexp to check nmake version.
      •  
 

    • Update of LHAFortran.h and 
Pythia6Interface.h, to make the interface to Fortran 
routines work also under Windows. (Thanks to Anton Karneyeu.) 
 

    • Updated and expanded worksheet.
      •  
 

    • The manual pages in the xmldoc directory, and thereby 
also those of the htmldoc and phpdoc 
directories, have been significantly updated and expanded. In particular, 
in many places the class of each method is explicitly shown, as well as 
the type of the return value and of the arguments. This upgrade is not 
yet completed, but already covers the more relevant sections. 
      •  
 

    • The unary minus operator in the Vec4() returns a 
reference to a four-vector with all components negated, but leaves 
the original four-vector unchanged. Previously the four-vector itself 
was flipped.
      •  
 

    • The pPlus() and pMinus() methods of a 
four-vector and an event-record particle are renamed pPos() 
and pNeg(), respectively.
      •  
 

    • Include a further loop in ProcessLevel, so that a new 
process is generated in case of failures of a less severe nature.
      •  
 

    • Introduce warning message for unexpected meMode in 
ResonanceWidths.
      •  
 

    • Les Houches event reading framework has been rearranged for 
more flexibility. Some bugs corrected. Specifically, when scale 
is not set (scale = -1. in the Les Houches standard), 
PYTHIA did not attempt to set this scale itself, which typically 
lead to there not being any ISR or FSR. Now the 
rules for normal 
1-, 2- and 3-body final states are applied, with a trivial 
extension of the 3-body rules for higher multiplicities.
      •  
 

    • Correct bug in the handling of parton densities, whereby it was 
not possible to switch to a new set, once a first initialization 
had been done.
      •  
 

    • Correct bugs when several Pythia::init initialization 
calls are made in the same run, specifically in the case that pointers 
to external processes have been handed in. 
 

    • Changes in main03.cmnd and main04.cmnd 
so that some nonstandard options are commented out rather than active. 
Related comments inserted also in some other .cmnd files, 
but there without any change in program execution.
      •  
 

    • A few further minor bug fixes.
      •  
 

    • Update year to 2009.
      •  
 

     

    •  
 

  • 8.125: 16 June 2009 

       
 

    • Hadronization and timelike-shower parameter default values updated 
according to a tune to LEP1 data by Hendrik Hoeth, using the 
Rivet + Professor framework.
      •  
 

    • Many further SUSY production processes. SLHA readin expanded to cover 
also masses and decay modes. Example main22.cc updated, while 
main33.cc now superfluous and removed. 
      •  
 

    • Also further processes for extra dimensions.
      •  
 

    • Stefan Ask joins as coauthor.
      •  
 

    • The TimeShower::shower(...) method has gained 
a new argument, that forces the shower evolution to stop after 
a given number of branchings. A new method 
TimeShower::pTLastInShower() permits the last evolution 
pT to be read out. These extensions can be useful 
for matching studies. 

      •  
 

    • New optional argument isInterleaved added to 
TimeShower::branch(...). Is false by default, but 
true when called from the parton level for interleaved evolution 
of several parton systems, optionally also with ISR and MPI.
      •  
 

    • New methods UserHooks::canSetResonanceScale() 
and UserHooks:scaleResonance(...) allows an optional 
user choice of the maximum shower scale in resonance decays.
      •  
 

    • A new method SpaceShower::doRestart() has been 
added, to help distinguish cases when a 
SpaceShower::branch(...) failure forces a complete 
restart of the evolution from ones where only the intended 
current branching has been vetoed. 
 

    • When multiparton interactions are initialized, it is now 
possible to reduce both pT0 and pTmin 
if necessary to find a valid solution where 
sigma_jet > sigma_nondiffractive. Previously 
only the former would be reduced, which could lead to 
infinite loops if too large a pTmin was used. 
Thanks to Sami Kama for pointing out the problem. 

      •  
 

    • The rescattering machinery is now essentially completed, and can 
be used also by others than the authors. For now, however, it can only 
be recommended for dedicated studies, not e.g. for generic tunes. 

      •  
 

    • Timelike and spacelike showers, and beam remnant handling, 
are modified to handle rescattering partons. Specifically, a new machinery 
is introduced to trace the recoils from the combination of rescattering 
with showers and primordial kT. Can assign space- or timelike 
virtualities to intermediate particles to have energy and momentum 
conserved locally. This affects the PartonLevel, 
MultipartonInteractions, TimeShower, 
SpaceShower and BeamRemnants classes. 
Further details to appear in the upcoming article on rescattering. 
(Another change is a reversal to pre-8.114 order for non-interleaved FSR, 
wherein also FSR is treated before beam remnants are attached.) 

      •  
 

    • Four new status codes introduced, as part of the rescattering 
description: 

      45 : incoming rescattered parton, with changed kinematics owing 
to ISR in the mother system (cf. status 34); 

      46 : incoming copy of recoiler when this is a rescattered parton 
(cf. status 42); 

      54 : copy of a recoiler, when in the initial state of a different 
system from the radiator; 

      55 : copy of a recoiler, when in the final state of a different 
system from the radiator. 

      •  
 

    • New method Info::tooLowPTmin() can tell whether the 
pTmin scales for showers or multiparton interactions are too low. 

      •  
 

    • Pion beams allowed, both pi^+, pi^- and 
pi^0. New machinery for the latter, where the valence 
flavour content is chosen to be either d dbar or 
u ubar for each new event. One internal pion PDF 
implemented, with others from LHAPDF.
      •  
 

    • Treatment of Pomeron-proton collisions begun.
      •  
 

    • Phase-space handling of hard processes and multiparton interactions 
slightly expanded to better allow for harder PDF's than proton ones, 
e.g. for Pomerons.
      •  
 

    • The program documentation has been expanded with an 
alphabetical index of all methods that are described on the 
webpages, see the Program Methods 
page. Also other sections of the documentation have been 
updated and expanded, including the worksheet.
      •  
 

    • Several list methods have been made 
const. For the listing of events two new methods 
have been added, Event::list() and 
Event::list(bool showScaleAndVertex, 
bool showMothersAndDaughters = false), 
that correspond to special cases of the general method.
      •  
 

    • A new method Pythia::LHAeventSkip(int nSkip) 
permits a skip-ahead of the reading of external Les Houches 
Events, without the necessity to generate the intervening 
nSkip events in full. Makes use of the new 
LHAup::skipEvent(int nSkip) method to perform 
the operations. Mainly intended for debug purposes. 
 

    • The ClusterJet jet finder now saves the last 
five clustering scales. Also a minor bug fix. Thanks to Nils 
Lavesson for this contribution.
      •  
 

    • The Particle::m2() method now returns a negative 
number when the stored mass m is negative, as used to 
indicate spacelike virtualities. Also the 
Particle::eCalc(), Particle::mT() and 
Particle::mT2() methods have been modified. 

      •  
 

    • The << method to print our a four-vector has 
been expanded with a fifth number, the invariant length, with a minus 
sign for spacelike vectors, and provided within brackets to allow 
a simple visual distinction.
      •  
 

    • New methods Rndm::dumpState(string fileName) and 
Rndm::readState(string fileName) allows to write or 
read the state of the random number generator to or from a binary file. 

      •  
 

    • New method double GammaReal(double x) returns the 
value of the Gamma function for arbitrary real argument. 
Some cross sections for extra-dimensional processes rewritten to 
make use of it. 

      •  
 

    • New example program main29.cc shows how 
to set up a fictitious process of a heavy system decaying 
to two particles or partons, with decays traced to stable 
particles, as relevant for astroparticle applications.
      •  
 

    • Main programs that illustrate the HepMC interface have 
been updated to use version 2.04, including units and excluding 
deprecated output formats.
      •  
 

    • The main32.cc example extended also to handle 
Les Houches Event Files.
      •  
 

    • The Makefile has been modified so that "make clean" only 
removes the current compilation and library files, while 
"make distclean" gives a more extensive reset and cleanup. 
Thanks to Nils Lavesson for this contribution. Some other 
minor Makefile corrections.
      •  
 

    • Several main programs that use the 
Main:timesToShow mode have been corrected so as 
not to crash if this is set to zero. Also some other cosmetics 
changes in main programs that do not affect the running.
      •  
 

    • Bug correction, in that previously a veto with user hooks 
was not propagated from parton showers inside resonance decays. 

      •  
 

    • Minor bug fix in TimeShower for kinematics with 
unequal beam-particle masses.
      •  
 

    • Bug fix so that PartonLevel:MPI = off also works for 
minimum-bias events.
      •  
 

    • Minor bug fix in the impact-parameter selection of multiparton 
interactions. Thanks to Sami Kama for pointing it out.
      •  
 

    • String fragmentation for junction topology protected against 
numerical instability in boost.
      •  
 

    • Bug correction in the handling of particle decays to partons, 
where the scale of the partons was set before the partons had been 
added to some arrays, leading to indexation out of bounds. 
Thanks to Vladislav Burylov for discovering this bug. 

      •  
 

    • Bug correction in the handling of particles with inhibited decay, 
where the decay vertex would be too far displaced, which could lead to 
infinite loop. Thanks to Sami Kama for debugging this. 
      •  
 

    • Check to avoid infinite loop in matrix-element handling of 
two-body decays.
      •  
 

    • Bug correction to avoid infinite loops in Dalitz decay treatment. 
Some changes in the decay handling logic to allow a new try when the 
decay of a particle fails.
      •  
 

    • Minor correction, so the pointer to the Info class 
is set also for user-written classes derived from LHAup. 

      •  
 

    • Correction for typo in the matrix element of the 
Sigma3ff2HchgchgfftWW class, for doubly charged Higgs 
production. Thanks to Merlin Kole for spotting it.
      •  
 

    • Updated colour bookkeeping in junction-antijunction annihilation 
avoids later problems in Pythia::check(). 
      •  
 

    • Minor updates of the Makefile.msc file to work with 
Visual Studio 2008. Thanks to David Bailey for these modifications.
      •  
 

    • Ensure that nInit in the BeamParticle 
class is set also for unresolved lepton beams.
      •  
 

    • The VetoEvolution class, derived from 
UserHooks, is obsolete and has been removed.
      •  
 

     

    •  
 

  • 8.130: 15 September 2009 

       
 

    • New machinery that allows multiparton interactions inside diffractive 
systems. Also new optional Pomeron flux factors and Pomeron PDFs. 
New page on diffraction added, where 
further details are collected. Still not tuned, so to be used with 
caution.
      •  
 

    • Make Peter Skands' "Tune 1" parameters for ISR and MPI default. 
The older simpler tune is still available as an option, see 
Tune:pp. 

      •  
 

    • New possible choices for a second hard process: charmonium, 
bottomonium, top pair and single top.
      •  
 

    • New code for pair production of generic colour-triplet scalar, 
fermion or vector. Largely written by Johan Bijnens, partly recycling 
existing code.
      •  
 

    • Add user hooks possibility to veto event after a given number 
of multiparton interactions.
      •  
 

    • Add instructions how PYTHIA 8 can be used from inside ROOT. 
Thanks to Andreas Morsch for providing the text and Rene Brun 
for a simple example.
      •  
 

    • The main21.cc example extended with an option 
for a single-particle gun.
      •  
 

    • Improvements and bug fixes in rescattering framework.
      •  
 

    • New method Hist::table(string fileName) provides a 
more direct way to print a two-column table of histogram contents 
into a file than the current Hist::table(ostream& os = cout). 
 
      •  
 

    • Modify reading of external files so that a line only consisting of 
control characters counts as empty, the same way as a line only consisting 
of blanks already did. This includes carriage return, tabs and a few more, 
the ones represented by \n \t \v \b \r \f \a. Applies to 
Les Houches Event files, settings files and particle data files. 
      •  
 

    • Fix it so that the read-in of a Les Houches Event File for the 
hardest process can be combined with the facility to select a specified 
second hard process.
      •  
 

    • New empty base class method LHAup::fileFound() 
allows the derived class LHAupLHEF to signal more 
clearly that a failed initialization is caused by a failure to open 
the desired file. 
      •  
 

    • Check that a pointer to an LHAup object has been set 
in Pythia::LHAeventList() and 
Pythia::LHAeventSkip(...) calls.
      •  
 

    • Updated configure and Makefile, e.g. to build shared libraries 
on Mac OS X.
      •  
 

    • The options with a direct link to hard-process generation 
in PYTHIA 6 has been removed. It is hardly ever used but 
complicates the build structure. (Owing to its usefulness for some 
debug work, it was reinstated in a limited form in version 8.135. 
Thus main51.cc now contains the complete interface, 
previously in separate files, and commented-out lines in 
examples/Makefile suggest how PYTHIA 6 could be linked.) 

      •  
 

    • New argument to Info::errorMsg(...) allows to 
show all error messages of a specific kind rather than only the 
first one, e.g. for initialization.
      •  
 

    • Correction in decay table of righthanded Majorana neutrinos. 
Thanks to Arnaud Ferrari and Vladimir Savinov.
      •  
 

    • Correction in expressions in the manual for H^+- couplings 
to an h^0, H^0 or A^0 and a W^+-. 
Thanks to Rikard Enberg.
      •  
 

    • Fix for accessing uninitialized memory, caused by accessing the 
daughters of the incoming beams before these daughters actually existed. 
Thanks to David Bailey and Sami Kama. 

      •  
 

    • Uninitialized photon PDF inside the proton could give crazy results 
for processes with incoming photons. Thanks to Adam Davison.
      •  
 

    • Bug fix such that finite lifetimes can be set also for particles 
produced in the hard process. To exemplify, the bug affected 
tau leptons produced in Z^0 and W^+- 
decays. Thanks to Troels Petersen.
      •  
 

    • Bug fix in TimeShower, that beamOffset 
could remain uninitialized. Thanks to Sami Kama.
      •  
 

    • Minor correction to resonance decays: fail if the allowed mass 
range of a Breit-Wigner resonance is a small fraction of the total 
area under the resonance curve.
      •  
 

    • Correction when all three valence quarks were kicked out from a 
proton and could give false messages that beam momentum had been 
used up.
      •  
 

    • Clarify status codes needed for hadron-level standalone runs in 
order to avoid error messages, and modify the main21.cc 
example accordingly. 
      •  
 

    • Minor corrections in the processes for extra dimensions.
      •  
 

    • Some other minor additions to existing facilities 
and minor bug fixes.
      •  
 

     

    •  
 

  • 8.135: 10 January 2010 

       
 

    • All usage of static member methods inside Pythia8 has now been 
eliminated. This simplifies for you to have several simultaneous 
Pythia instances that are run with different conditions. 
The three main classes affected by this are the Settings 
and ParticleData databases and the Rndm 
random-number generator. You can no longer address the methods of these 
classes directly, but have to address them via the settings, 
particleData and rndm instances in the 
respective Pythia object. Also some other smaller pieces 
of code are affected, e.g. Standard Model and SUSY couplings 
(the latter in new files). 

      Note 1: The documentation has been updated accordingly 
on these webpages, but the "A Brief Introduction to PYTHIA 8.1" 
still refers to the old behaviour of version 8.100. 

      Note 2: the interface to the external LHAPDF library remains 
static, since LHAPDF is written in Fortran and thus by definition 
static. 

      Note 3: if you want to have momentum smearing in 
CellJet you now need to send in a pointer to a 
random-number generator. 

      •  
 

    • Ten new proton PDF sets are made available internally: 
MRST LO* (2007), MRST LO** (2008), MSTW 2008 LO (central member), 
MSTW 2008 NLO (central member), CTEQ6L, CTEQ6L1, CTEQ6.6 (NLO, 
central member), CT09MC1, CT09MC2, and CT09MCS, see 
PDF Selection. The Pomeron PDF data 
files have been renamed for consistency. Thanks to Tomas Kasemets 
for help with this [Kas10]. 

      •  
 

    • New parameters TimeShower:pTmaxFudgeMPI and 
SpaceShower:pTmaxFudgeMPI introduced, to give the same 
functionality for multiparton interactions that 
TimeShower:pTmaxFudge and SpaceShower:pTmaxFudge 
do for the hardest.
      •  
 

    • A few extensions of the UserHooks framework. 
New methods UserHooks:canVetoISREmission() and 
UserHooks::doVetoISREmission(...) allows the latest 
initial-state emission to be studied before being finalized, 
with the possibility to veto it. 
Similarly Userhooks:canVetoFSREmission() and 
UserHooks::doVetoFSREmission(...) can be used to 
veto the latest final-state emission.
      •  
 

    • A number of loop counters have been introduced in the 
Info class, that offers some further information on 
the progress of the event generation, for use e.g. in conjunction 
with the UserHooks facility.
      •  
 

    • The Pythia::initTunes(...) method is made public, so that 
it can be called before the normal call from Pythia::init(...). 
That way it is possible to start out from a given tune and change a few 
of the parameters. 

      •  
 

    • Bug corrected in LHAFortran.h for hard-process input 
from Fortran commonblock. This did not work properly when the input 
was used in combination with a second hard process generated internally. 
Thanks to Mikhail Kirsanov and Roberto Chierici. 
 

    • Insertion of missing initialization of isInit in the 
Settings and ParticleData constructors, and 
nInit for BeamParticle. 
Thanks to Leif Lönnblad.
      •  
 

    • Updated Makefile.msc for Windows users.
      •  
 

    • Fix of some non-optimal use of booleans, that give warnings on 
a Windows compiler. Thanks to Anton Karneyeu.
      •  
 

    • New options for the  
SUSY Les Houches Accord such that, by default, 
particle and decay data are not overwritten for known Standard Model 
particles (including Z^0, W^+- and t, 
but excluding the Higgs).
      •  
 

    • Bug fix in SusyLesHouches, where the reading of SLHA 
information embedded in an LHEF would not stop at the end of the header 
section.
      •  
  

    • Bug correction for undefined secondary widths where decay products 
together are heavier than the mother. Also unit default secondary width 
values in the DecayChannel constructor.
      •  
  

    • Documentation updated, including change of current year to 2010.
      •  
 

     

    •  
 

  • 8.140: 16 July 2010 

      
 

    • Four new draft tunes available.
      •  
 

    • Introduction of a new scenario for production of Hidden-Valley 
particles, and interleaved showering in the QCD and HV sectors, see 
the new Hidden Valleys 
description. A longer physics writeup is available [Car10]. 

      •  
 

    • Implementation of 2 → 3 phase space selection intended 
for QCD processes with massless partons. A new set of matching 
phase space cut parameters. 
The ten different QCD 2 → 3 
processes have been implemented making use of this new 
possibility, so far without a complete handling of possible colour 
flows, however.
      •  
 

    • New processes have been added for 
contact interactions in 
q q → q q and q qbar → q qbar scattering.
      •  
 

    • A process has been added for TeV^-1 Sized 
Extra Dimensions, which 
involves the electroweak KK gauge bosons, i.e. gamma_{KK}/Z_{KK}, 
in one TeV^-1 sized extra dimension; see main30.cc for 
an example. This scenario is described in [Bel10]. Thanks to 
Noam Hod and coworkers for contributing this code.
      •  
 

    • In the Randall-Sundrum extra-dimensional scenario a new option has 
been added where SM fields can exist in the bulk rather than only on 
a brane. (Still under development.) Furthermore production of a 
Kaluza-Klein gluon state has been added, and the  main28.cc 
test program extended.
      •  
 

    • The scenario for monojets in Large Extra Dimensions has been expanded 
with an alternative for scalar graviton exchange instead of tensor one. 

      •  
 

    • New parameters for maximum scale of 
timelike showers, 
TimeShower:pTmaxMatch, and the dampening of hard radiation, 
TimeShower:pTdampMatch and TimeShower:pTdampFudge, 
by analogy with corresponding ones for spacelike showers. Also new method 
TimeShower:limitPTmax(...) to implement alternative procedures. 
For dipoles stretched to the beam the new switch 
TimeShower:dampenBeamRecoil allows to dampen radiation 
close to the beam direction, with a changed default behaviour.
      •  
 

    • Azimuthal anisotropies from coherence arguments have been introduced 
for the spacelike parton showers, see SpaceShower:phiIntAsym 
and SpaceShower:strengthIntAsym. 
Also azimuthal anisotropies from gluon polarization have been introduced 
for the spacelike parton showers, see SpaceShower:phiPolAsym, 
and updated for timelike parton showers, see 
TimeShower:phiPolAsym.
      •  
 

    • Improvements for the matching to POWHEG LHEF-style input illustrated 
by the new main71.cc example. See also [Cor10].
      •  
 

    • A set of new processes gamma gamma → f fbar, with f 
quarks or leptons. Code for equivalent photon flux around an unresolved 
proton, with more to come. Thanks to Oystein Alvestad. 

      •  
 

    • A new option has been included to dampen the growth of the diffractive 
cross sections, see Total Cross 
Sections.
      •  
 

    • A new method virtual int SigmaProcess::idSChannel() 
has been introduced. If overloaded to return a nonzero value then a 
2 → n process will appear listed as a 
2 → 1 → n one. 
That is, an intermediate resonance with the requested identity will be 
inserted in the event record, even without appearing in the calculation 
of the matrix element proper. Thanks to Noam Hod for idea and code.
      •  
 

    • A new method SigmaProcess::convertM2() has been introduced 
to optionally allow the SigmaProcess::sigmaHat() to return 
the squared matrix element rather than d(sigmaHat)/d(tHat) for 
 2 → 2  processes. Furthermore kinematics is stored in the new 
mME and pME vectors for alternative cross 
section encodings.
      •  
 

    • Different encoding of the f fbar → Z W cross section, 
contributed by Merlin Kole, based on the cross section of 
Brown, Sahdev and Mikaelian. Gives a distinctly different cross section 
than the previous based on EHLQ (including their bug fix). 
In particular the problem with negative cross sections is now fixed.
      •  
 

    • Minor updates: pass xmlPath to new MSTW and CTEQ PDFs; 
reset beams earlier to give cleaner documentation.
      •  
 

    • The H1 Fit B LO parametrization to the Pomeron PDF has been included, 
and made new default for Pomerons. Thanks to Paul Newman for providing 
the data files.
      •  
 

    • Three changes, in principle unrelated, but with the common objective 
to make the generation of a given event depend only on the values 
determined during the initialization stage and on the state of the 
random-number generator when the event is begun. The new default 
should ensure a reproducible stop-and-restart behaviour, convenient 
for debug purposes. Thanks to Michael Schmelling for stressing the 
desire for such a behaviour. 

      (i) Introduction of a new option  
PhaseSpace:increaseMaximum that allows to switch between 
two strategies for handling the (hopefully rare) cases when the 
assumed maximum of the cross section function is exceeded during the 
event generation, with a changed default behaviour. In the old 
default the maximum could be increased if it was exceeded during the run, 
thereby introducing a memory of the previously generated events. 

      (ii) Updated handling of random numbers with Gaussian distributions. 
The gauss() method now only generates one value at a time. 
Instead the new gauss2() method returns a pair of Gauss 
numbers, with related time savings. In the old approach one Gaussian 
number could be buffered, which introduced a memory. 

      (iii) Minor bug fix in MiniStringFragmentation, where 
the popcorn baryon state was not reset for each new system, again 
giving a (flawed) memory.
      •  
 

    • New directory rootexample with a simple code example 
how to use ROOT for histogramming in PYTHIA runs. See 
ROOT Usage for details. Thanks to Rene Brun. 

      •  
 

    • In the HepMCinterface the checks for unhadronized 
quarks and gluons are not performed if hadronization has been switched 
off.
      •  
 

    • The UserHooks::initPtr(...) has been expanded so that 
pointers to more classes (beam particles, random number, couplings, etc.) 
are sent in, thereby increasing the scope of possible user-written code. 
Also, the UserHooks::doVetoProcessLevel(Event& process) 
now allows the process event record to be modified, 
even if it is not recommended. The new Info::pTnow() 
method returns the current pT scale of the combined MPI, ISR 
and FSR evolution, which can be useful for some user hooks decisions. 

      •  
 

    • Histograms of the Hist class can now be booked 
with up to 1000 bins, instead of the previous maximum 100. All bins 
can be written to file, but the line-printer style printing will join 
nearby bins so at most 100 are printed, as before.  
      •  
 

    • Updated configure and Makefile 
to allow 64-bit compilation and more options. Thanks to Mikhail Kirsanov, 
Rene Brun and Fons Rademakers.
      •  
 

    • Bug fix in ProcessLevel for colour flow checks of 
junctions. Enables the decay of a neutralino to three quarks, e.g. 
Thanks to Nils-Erik Bomark.
      •  
 

    • Bug fixes in TimeShower, where recoil partners in resonance 
decays of coloured particles, and recoil partners in QED dipoles when beams 
are not allowed to take a recoil, might not be correctly identified. 
      •  
 

    • Bug fix in SpaceShower: when used with a fixed 
alpha_strong, the threshold enhancement factor of 
g → Q Qbar became undefined. Thanks to Stefan Prestel.
      •  
 

    • Bug fix in initialization of resonance widths, where the 
minWidth parameter could be used uninitialized, 
occasionally resulting in strange initialization problems when 
kinematics needs to force at least one resonance to be off-shell.
      •  
 

    • Minor updates of main06.cc, main10.cc 
and main23.cc.
      •  
 

    • Bug fix in mother pointer of multiparton interactions in 
diffractive systems.
      •  
 

     

    •  
 

  • 8.142: 15 August 2010 

       
 

    • The strategy for setting up tune values has been changed. 
Previously the Tune:ee and Tune:pp 
settings were only interpreted during the 
Pythia::init(...) stage. Now they are interpreted 
as soon as they are read. Specifically this means that it is 
possible to override any of the tune parameters by putting new 
commands below Tune:ee and Tune:pp 
in the Pythia::readFile(...) configuration file 
or in the list of Pythia::readString(...) commands. 

      As a consequence of this change, the public 
Pythia::initTunes(...) method has been replaced by 
two private Settings::initTuneEE(...) and 
Settings::initTunePP(...) methods. 

      If Tune:ee or Tune:pp are 
nonvanishing by default, then the corresponding tune variables 
are set also from the Pythia constructor, before any 
user changes are possible. Currently this is not relevant. 

      •  
 

    • Bug fix in the setup of the Tune:pp = 5 and 
= 6 options, which meant that diffractive cross 
sections were not reduced as advertised.
      •  
 

    • The default value of MultipartonInteractions:pT0Ref 
has been slightly reduced so as to give a somewhat improved 
default description. It is not intended as a replacement for the 
specific tunes, however.
      •  
 

    • Some comparisons between tunes and data, obtained with the 
Rivet package, have been posted on 
 
http://home.thep.lu.se/~richard/pythia81/. 
Further improvements can be expected from future Professor-based 
tunes. The current set of 2C, 2M, 3C and 3M "draft tunes" have 
deliberately been chosen different also to explore a range of 
possibilities. One not visible in the plots is the fraction 
of single and double diffractive events in the inelastic cross 
section. This is 32% in 2C and 2M, while it was reduced to 
21% in 3C and 3M, and a recent ATLAS study (ATLAS-CONF-2010-048) 
would suggest 28+-4%.
      •  
 

    • Minor changes in TimeShower and 
SpaceShower, as protection if the c or 
b masses are set small.
      •  
 

    • Bug fix in SpaceShower, for case when phi 
angle selection is biased to take into account interference effects. 

      •  
 

    • The SigmaProcess::convertM2() method now has 
been implemented also for 2 → 1 processes, so that it is 
possible to provide the squared matrix element instead of 
sigmaHat for semi-internal processes. A fixed-width 
Breit-Wigner is also inserted, since the matrix element is supposed 
not to include it.
      •  
 

    • New method SigmaProcess::setupForME() does an 
extended conversion from the internal kinematics to an almost 
equivalent one, better adapted to the mass conventions of matrix-element 
calculation programs, such as massive incoming b quarks. 
New flags allow to determine whether the c, b, 
mu and tau should be considered massless or not 
in the calculations.
      •  
 

    • Two new friend methods table of the Hist 
class allow to print a table with three columns, the first for the 
(common!) x values and the other two for the respective 
histogram values. A new method takeSqrt for the square 
root of histogram bin contents. 

      •  
 

     

    •  
 

  • 8.145: 10 November 2010 

       
 

    • Couplings is defined in StandardModel.h 
as a derived class of coupSM and has only one extra flag: 
isSUSY to check presence of extra couplings.Changed all 
pointers CoupSM* to Couplings* and removed 
explicit references to CoupSUSY*. The coupSUSY 
object is only initialised if SUSY couplings are present. The new pointer 
couplingsPtr points either to only SM couplings or SM+SUSY 
couplings based on SLHA data.
      •  
 

    • New files SusyResonanceWidths.h/cc contains the 
SusyResonanceWidths class, which inherits from 
ResonanceWidths but typecasts the couplingsPtr 
to (CoupSUSY*) coupSUSYPtr.  This is the base class for 
all SUSY resonances. It contains the ResonanceSquark class 
for all squark decays. A new flag SLHA:useDecayTable 
to check if internal widths should be overwritten by those read in 
via SLHA.
      •  
 

    • Added new functionality to SusyLesHouches for read-in 
of generic user blocks in the SLHA format, along with methods to 
extract parameters from them with typecasting controlled by the user. 
Intended for use with user-written semi-internal processes.
      •  
 

    • Added Sigma1qq2antisquark cross section.
      •  
 

    • Some new flags and modes in the SUSY and 
SLHA series offer further functionality.
      •  
 

    • Several further changes as a consequence of the upgrade of the SUSY 
machinery.
      •  
 

    • Bug/typo fixes in rotation matrices for SUSY couplings and for the 
processes qqbar2squarkantisquark, 
qq2squarksquark and more.
      •  
 

    • Improved handling of colour junctions. Added new example program 
main72.cc, to illustrate read-in of color junction 
structures via LHEF (main72.lhe). The example used is SUSY 
with RPV.
      •  
 

    • New Tune 4C introduced as Tune:pp = 5. The more crude 
(non-)tunes 3C and 3M are removed.
      •  
 

    • New methods Settings::getFlagMap(...), 
Settings::getModeMap(...), 
Settings::getParmMap(...) and 
Settings::getWordMap(...) allows to return a map of all 
settings of the respective type that contain a specific string 
in its name. 

      •  
 

    • Improved description of excited g^*/KK-gluon^* production 
in the Sigma1qqbar2KKgluonStar and 
ResonanceKKgluon classes.
      •  
 

    • Possibility added to let Hidden-Valley gamma_v have 
a nonzero mass and decay by mixing with the ordinary photon. 
Still experimental.
      •  
 

    • Minor bug fix in handling of three-body phase space.
      •  
 

    • Minor correction in Sigma2ffbar2TEVffbar class.
      •  
 

    • Bug fix for decays of W' to a pair of heavy fermions when 
gV != gA. Thanks to M. Chizhov, see arXiv:0705.3944. 
      •  
 

    • Restore the older EHLQ-based encoding of the f fbar → Z W 
cross section, which was changed in version 8.140, since comparisons 
with Madgraph gives much better agreement with it than with the 
expression of Brown, Sahdev and Mikaelian.
      •  
 

    • The HepMCInterface now also stores colour flow 
information for coloured particles.
      •  
 

    • Pointer to Couplings made available for particle 
decays.
      •  
 

    • Minor update in main61.cc for more elegant usage 
of FastJet, as suggested by Gregory Soyez.
      •  
 

     

    •  
 

  • 8.150: 20 April 2011 

       
 

    • Tune 4C is made default. It is based on first comparisons with 
LHC data [Cor10a], and has also been checked independently 
[Buc11] to give reasonable agreement with many distributions. 

      •  
 

    • The description of tau lepton decays has been significantly 
enhanced, to include helicity information related to the production 
process and hadronic currents fitted to data. A complete writeup is 
in preparation, while a summary can be found in [Ilt12]. 
A new flag is introduced to revert to the old behaviour, for 
cross-checks, see Particle Decays. 
The new tau decay machinery is on by default. 

      •  
 

    • A new option MultipartonInteractions:bProfile = 4 has 
been introduced for the impact-parameter profile of protons in the 
Multiparton Interactions 
framework, wherein low-x partons are spread over a larger area 
than high-x ones, see [Cor11]. A new method 
Info::eMPI(i) gives back the enhancement factor related to 
the i'th interaction. The impact-parameter profile can now 
be selected separately for diffraction, 
but without a bProfile = 4 option. 

      •  
 

    • The possibility of "hadronization" in the 
Hidden Valley sector 
has been added as a new option HiddenValley:fragment = on. 
This is based on a copy of the standard string fragmentation framework, 
but with the option of a completely separate "flavour" sector, and 
separately tunable longitudinal fragmentation functions and transverse 
momenta. For now only a simple flavour scenario is provided, where 
flavour-diagonal mesons can decay back into the normal visible sector 
while off-diagonal ones remain hidden. A writeup of the model is in 
preparation [Car11]. Also some further Hidden Valley options 
have been added.
      •  
 

    • Included possibility in TimeShower for QCD dipoles to 
have an adjustable normalization factor, via the new 
bool isFlexible and double flexFactor 
properties of class TimeDipoleEnd. This flexibility is used 
to treat radiation off colour topologies with epsilon tensors, in 
particular colour junctions which have all their partons in the 
final state. (An example is the BNV-SUSY decay ~chi0→uds.) For 
such topologies, the new treatment in PYTHIA 8 is that a 
half-strength dipole is spanned between all combinations of 
final-state quarks. For junctions with an incoming (anti)colour line (such 
as in the BNV-SUSY decay ~t*→cb), a full-strength dipole is 
instead spanned between the two daughters, with no radiation from the 
decaying object (in its CM). As will be described in a forthcoming 
paper with N. Desai, this should give the 
closest possible correspondence to the radiation patterns exhibited 
by higher-order matrix elements for this type of process.
      •  
 

    • Corrected harmless bugs in ProcessLevel::findJunctions 
which caused junctions of types 3 and 4 (i.e., junctions with 1 
incoming color tag) to sometimes be incorrectly classified as types 
1 and 2 (with all color tags outgoing), respectively. 
Since the parity (even/odd) of the junction kind was still correct, 
however, this did not cause any problems at the hadronization 
stage.
      •  
 

    • The junction-finder in ProcessLevel::findJunctions 
has been made more stable, and the following ordering of the color 
tags returned by Event::endColJunction(iJun, iLeg)  is 
now enforced: for junction kinds 3 and 4 (one tag 
incoming), iLeg = 0 will return the 
incoming tag, while for kinds 5 and 6 (two tags incoming), 
iLeg = 0 and iLeg = 1 will return the 
incoming tags. Apart from this ordering, the color tags are 
ordered in ascending color tag number.
      •  
 

    • Declarations of friend functions moved to sit outside the class 
it befriends. Thanks to Axel Naumann for pointing out the incorrect 
previous construction.
      •  
 

    • The rootexample subdirectory becomes 
rootexamples as the old example is split into two, 
with improved documentation to clarify usage. Thanks to Axel Naumann 
and Bernhard Meirose for the new code.
      •  
 

    • In the Les Houches Event File machinery, input type has been 
changed from ifstream to istream for more 
flexibility.
      •  
 

    • R-hadron  handling is largely implemented, see the 
R-hadrons page, although some aspects 
still need polishing. A new class RHadrons takes 
care of the hadronization and decay. Particle data have been added 
for R-hadrons containing a gluino, stop or sbottom, but could 
alternatively be used for other long-lived coloured particles. 
Thanks to Bernhard Meirose for support. 

      •  
 

    • Calculations of SUSY decay widths included by 
  N. Desai, contained in the new source 
files SusyResonanceWidth.cc 
  and .h. Validation and addition of more modes is still in 
  progress, so this implementation should be considered preliminary 
  for now. For a list of available modes, see 
  the SUSY Processes page. 

      •  
 

    • A first implementation of the SLHA-based QNUMBERS interface for 
  defining new exotic particles has been 
  included. See [Alw07] and 
  the SUSY Les Houches Accord 
  page. 
      •  
 

    • Read-in of LHEF events containing Baryon Number Violating vertices 
  has been included, using colour junctions, see 
  the Event Record page. The advanced 
  shower model taking into account the full colour structure of such 
  events, developed by N. Desai and described above, 
  is turned on by default in such events. 
  Several test cases were used to 
  validate this implementation, but it is possible that problems could 
  still exist for some cases. Feedback is welcome. Thanks to 
  the MadGraph authors for providing several test cases.
      •  
 

    • Some first steps taken to allow events containing colour sextets, 
  e.g., from semi-internal processes or LHEF interfaces, and/or from 
  SLHA DECAY tables. New 
  colType codes 3 and -3 are introduced to describe 
  sextets and antisextets, respectively. The state of the current 
  implementation is that hard processes containing such states can be 
  read in and decays generated (via DECAY tables). Parton 
  showers can be added, but the sextets themselves do not, as yet, 
  shower, and any undecayed sextets remaining at the hadronization 
  stage would lead to unpredictable problems if hadronization is 
  switched on. Thanks to J. Alwall for help with testing 
  this implementation. 

      •  
 

    • The functionality of the SLHA SUSY/BSM interface (see 
  the SUSY Les Houches page) has been 
  extended so that copies of all BLOCKs are now stored 
  internally as 
  strings, regardless of whether they correspond to "official" SLHA 
  blocks or not. Their contents can subsequently be queried by a set 
  of new templated member functions of the 
  class SusyLesHouches. Available query functions so far 
  include 
  
      template <class T> bool getEntry(string, T&);, 
  
      template <class T> bool getEntry(string, int, T&);, 
  
      template <class T> bool getEntry(string, int, int, T&); 
  , and 
  
      template <class T> bool getEntry(string, int, 
  int, int, T&);, 
  
      where the type of 
  the argument used in the call determines how to read the block 
  entries. Thus, if an LHEF, SLHA, or other card file is read in by 
  PYTHIA, the contents of any BLOCK in that file can 
  subsequently be queried run-time using these functions. This is 
  used, e.g., in the new interface between MADGRAPH 5 and PYTHIA 
  8. Thanks to the MADGRAPH team, and to J. Alwall in particular, for 
  help and debug on this new implementation. 

      •  
 

     

    •  
 

  • 8.153: 10 August 2011 

       
 

    • The setup of tunes has been modified, see the 
Tunes page for details. Specifically 
the Tune:ee and Tune:pp modes have 
acquired a new option -1 for a forced restore to the 
default values of all settings used in the respective kind of 
tunes.
      •  
 

    • The code for handling multiparton interactions in the scenario with 
an x-dependent width of the Gaussian matter profile 
[Cor11], has been improved and updated. Tune 4Cx, which 
is based on this option, has been added as a further tune option.
      •  
 

    • A possibility to bias the phase-space selection has been added, 
whereby some phase space regions can be oversampled, which is 
compensated by assigning a weight to each event. 
A new set of methods have been added to the UserHooks 
class to allow users to program how to bias the selection.
      •  
 

    • New options added so that matrix-element corrections can be 
switched off after the first branching in ISR or FSR.
      •  
 

    • Some new Info methods have been added to store 
information on latest ISR branching.  The SpaceShower 
class has also been corrected so that the latest z = 1/2 
when not defined by history. This avoids undefined values for 
azimuthal asymmetries. Thanks to Stefan Prestel for finding and 
sorting out this problem.
      •  
 

    • The Pythia::forceHadronLevel() method now takes 
an argument that optionally means that existing junction information 
is not overwritten. Thanks to Leif Lönnblad for pointing out 
the usefulness of this.
      •  
 

    • For particle decays to a varying number of hadrons the multiplicity 
increase with mass has been somewhat reduced, and especially for 
meMode = 23 a separate even slower increase has been 
introduced.
      •  
 

    • New possibility to force the tau polarization.
      •  
 

    • Bug fix for the special case in which events containing SUSY 
particles are generated without proper initialization of SUSY decays. 
This can happen, e.g., if events containing SUSY particles are read 
in via external LHEF files, if those files do not contain readable 
SLHA spectra in their headers. In this case, a failed attempt to 
generate sparticle decays with ill-defined couplings previously 
led to crashes. The program now reverts to the old behaviour, 
based on static decay tables, in such cases, with the default 
being to decay all sparticles to gravitino + particle. An error 
message stating that the full SUSY treatment has been switched 
off and why is also issued. Thanks to N. Desai for this fix.
      •  
 

    • The R-hadron machinery has been completed.
      •  
 

    • Minor change in timelike showers: gluons which fall below the 
pTmin cutoff by the correction for mass effects are now 
eliminated, while previously they were kept. This reduces the 
number of gluons somewhat, but has no significant effects on the 
hadronic final state. (Prompted by R-hadron studies, where big mass 
effects else give bothersome low-energy gluons.)
      •  
 

    • Corrected typos in two of the Upsilon wave function matrix 
elements, Bottomonium:OUpsilon3P08 and 
Bottomonium:Ochib03P01. Thanks to Beate Heinemann for 
pointing it out.
      •  
 

    • Implemented f* decay angle in f f → f f* processes, 
and fixed some bugs for the same process. Thanks to Piyali Banerjee 
for tests.
      •  
 

    • Introduce possibility to separate production channels for 
TeV-sized extra dimensions, and a small code correction. Thanks to 
Noam Hod for code contribution.
      •  
 

    • Bug fix for neutrino beams: since neutrinos are always lefthanded 
there should be a factor 2 in the cross section, relative to charged 
leptons, from the non-need to average over incoming spin states. This 
is now fixed by introducing a new PDF class NeutrinoPoint 
for (unresolved) neutrinos, with normalization 2 rather than 1 for 
charged leptons. Thanks to Ryosuke Sato.
      •  
 

    • Bug fix for some (rarely used) particle settings, which could not 
be changed by users because they were read too early. Thanks to 
Andrew Altheimer and Gustaaf Brooijmans.
      •  
 

    • Bug fix in handling of tau decays, where setting of 
decay vertices could write outside memory. Thanks to Steven Schramm.
      •  
 

    • Minor expansion of the BeamParticle constructor.
      •  
 

    • Minor bug fix in CTEQ 6L for uninitialized variables.
      •  
 

    • Minor bug fix in fragmentation flavour combination to hadron.
      •  
 

    • Some updates of the documentation, including new pages on 
MadGraph 5 as a generator for semi-internal processes (thanks to 
Johan Alwall) and on RIVET interfacing.
      •  
  

    • Minor improvements of ROOT- and HepMC-related code and documentation.
      •  
 

    • Some cleanup of code.
      •  
 

     

    •  
 

  • 8.157: 10 November 2011 

       
 
Stefan Prestel joins as new member of the PYTHIA author team. 
He is mainly working on matching/merging issues, and has contributed 
the CKKW-L machinery mentioned below. 
 

    • Merging capabilities according to the CKKW-L scheme [Lon11] 
have been added, see the new 
Matrix Element Merging 
page. It involves new classes to reconstruct and select how a 
matrix-element-generated partonic configuration could have been obtained 
by the PYTHIA evolution, and to perform trial showers (using a new 
copy of the normal parton-level machinery) that introduce the appropriate 
Sudakov suppression factors. New examples to illustrate various 
common tasks are found in main81.cc, main82.cc, 
main83.cc and main84.cc.
      •  
 

    • The main71.cc program is now generalised for reading 
in arbitrary POWHEG LHE files, to implement a smooth matching between NLO 
matrix elements and the PYTHIA parton showers. Cuts are made on both 
ISR and FSR emissions, while previously only ISR was covered. The key 
assumptions are the pT definitions used for ISR and FSR, but several 
further options are available, as documented in the main71.cmnd 
file. Work is still ongoing to pick the best default options. 
      •  
 

    • Several expansions of the UserHooks class. 
For both doVetoFSREmission and doVetoISREmission 
a new argument iSys labels the system within which the 
radiation occurs. For doVetoFSREmission a further argument 
inResonance distinguishes FSR in resonance 
decays from that in the hard process itself. New methods 
canVetoMPIEmission and doVetoMPIEmission 
have been added to veto multiparton interactions in the same way as 
FSR and ISR. In biasSelectionBy at times incorrect values 
for inEvent has been corrected. Also some systematization 
of the use of const.
      •  
 

    • A new model for hadron scattering is introduced, still at an early 
stage and therefore more intended for internal development than for the 
normal user. The basic idea is that a high-energy pp collision 
involves the fragmentation of multiparton strings that overlap in space 
(and time). Also the produced hadrons therefore initially overlap, and 
there is a strong likelihood that hadrons can scatter against each other 
until the system has expanded sufficiently. This can e.g. increase the 
transverse momentum of heavier hadrons at the expense of lighter ones. 

      •  
 

    • A new jet finder SlowJet offers simple access to the 
inclusive kT, anti-kT, and Cambridge/Aachen 
algorithms in a cylindrical coordinate frame. The jet reconstruction 
is then based on sequential recombination with progressive removal, 
using the E recombination scheme. The minimalistic 
SlowJet code is much slower than FastJet 
[Cac06], and contains less options, but reconstructs the same 
jets if run under identical conditions. For details see the 
Event Analysis page.
      •  
 

    • Starting in gcc 4.6, it is possible to switch off specific warnings 
around specific blocks of code. Although version 4.6 is some way off 
from being commonly found, this option has now been introduced to switch 
off -Wshadow warnings in HepMCInterface.cc. 
For other compilers, or earlier versions of gcc, the old behaviour 
is retained.
      •  
 

    • Support for reading in gzipped LHEFs has been added in the 
LesHouches and SusyLesHouches classes. 
This also affects configure and Makefiles. 
Unless explicitly enabled, it should not affect anything. 
If enabled, it relies on the Boost and zlib libraries to function, 
so paths to these must be set appropriately, see the 
README file for details. The Boost header files can 
give very many shadow warnings, so -Wshadow is disabled 
if gzip support is enabled, as described above.
      •  
 

    • Introduce use of the HEPMC_HAS_UNITS environment 
variable in the HepMCInterface.cc and main32.cc 
codes to automatically check whether GeV and mm can be set as relevant 
units. If yes, then it is set in main32.cc. If no, 
a conversion from GeV to MeV is done explicitly in 
HepMCInterface.cc. Note that, for early HepMC versions, 
this means a change of behaviour. Thanks to Andy Buckley.
      •  
 

    • A new method Info::lhaStrategy() returns the 
Les Houches event weighting strategy where relevant, and 0 where not. 
For the strategies +-4 the event weight and sum, 
Info::weight() and Info::weightSum(), 
is now in units of pb at output, as it should be at input. 
(While internally mb is used.)
      •  
 

    • New flag Check:abortIfVeto allows the user to 
resume control over execution in case of a veto in the event 
generation process.
      •  
 

    • New method Event::at(i) returns reference to 
i'th particle in the event record.
      •  
 

    • Introduce the Fermi constant as one of the Standard Model 
parameters.
      •  
 

    • Included automatic pre-initialization of SLHA blocks MASS and 
SMINPUTS using PYTHIA's SM parameters and particle data table 
values.
      •  
 

    • SUSY: added sleptons (and sneutrinos) as resonances. 
Corrected 2-body decay widths of gluinos, squarks and gauginos. 
Added sleptonic decay modes to gaugino decays. 
Implemented 2-body decays of sleptons (and sneutrinos) 
into sleptons/leptons/gauginos. Corrected slepton couplings (they 
now look exactly like squark couplings, using a 6x6 slepton mixing 
matrix).
      •  
 

    • New parameter Diffraction:probMaxPert introduce to 
give more flexibility in transition from a nonperturbative to a 
perturbative description of a diffractive system.
      •  
 

    • Bug corrected in SigmaEW.cc, for the process 
WeakSingleBoson:ffbar2ffbar(s:gm). Previously, all outgoing 
quark flavours in this process were erroneously assigned ID code 5 
(b quarks). This has now been corrected so the proper ratios are 
obtained, with u : c : d : s : b = 4 : 4 : 1 : 1 : 1, 
according to the squared quark charges.
      •  
   

    • Changes in FragmentationSystems and 
StringFragmentation to reject systems with three or more 
interconnected junctions. This may happen in baryon-number-violating 
scenarios in pp collisions, if both of the beam baryon junctions are 
resolved and get connected via an antijunction created by a 
hard-process BNV vertex. In principle, this could be addressed by an 
extension of the existing junction fragmentation framework. However, 
since it happens rarely, for the time being an error message is printed 
and the fragmentation restarted. 

      •  
 

    • Change in Event::copy to safeguard against attempting 
to copy out-of-range entries. An attempt to copy a non-existing entry 
will now return -1.
      •  
 

    • Bug fix in the machinery for the user to force the setting of 
tau polarization.
      •  
 

    • Bug fix in the initial search for a maximum of the process 
cross section (only affecting rare cases).
      •  
 

    • Corrected angular decay distributions for two compositeness 
processes, Sigma2qq2qStarq and 
Sigma2qqbar2lStarlbar.
      •  
    

    • Extra check in HiddenValleyFragmentation to make sure 
that pointers which have not been assigned with new are not 
deleted.
      •  
 

    • Some further minor changes.
      •  
 

     

    •  
 

  • 8.160: 23 January 2012 

       
 

    • The older term "multiple interactions" has been replaced by the 
new standard "multiparton interactions" one, and correspondingly the 
abbreviation MI by MPI. This affects everything: settings, class and 
method names, documentation, etc. It therefore becomes necessary to 
rewrite user code. However, so as to keep the immediate effort at a 
reasonable level, the old settings names are kept as aliases. Thus 
PartonLevel:MI and PartonLevel:MPI are 
equivalent, and similarly MultipleInteractions:pT0Ref 
and MultipartonInteractions:pT0Ref. Should you be using 
methods such as double Info::pTMI(int i) you need to 
edit the code, however. All the example/main* files 
have been updated accordingly.
      •  
 

    • A new option Beams:frameType = 5 has been added 
for the case where an external generator should provide LHA process 
information. The new Pythia::setLHAupPtr(...) method 
should then be used to link in this generator. The new switch 
Beams:newLHEFsameInit can be used to tell that a new 
LHEF should be used, but without the need for a new initialization. 
With these two changes, all the different ways of initializing 
can be covered by the Pythia::init() call with no 
arguments. The various init(...)options with arguments 
are deprecated and will be removed for PYTHIA 8.2.
      •  
 

    •  The Pythia::stat() method, with no arguments, 
replaces Pythia::statistics(...), although the latter 
remains as a deprecated alternative.
      •  
 

    • New settings Init:..., Next:..., 
and Stat:... can be used to steer some details of 
the operation of the Pythia::init(), 
Pythia::next() and  Pythia::stat(), 
respectively. In particular it affects the amount of printout 
at the various stages of operation. See 
here for further details. 
This change involves several code changes, but in documentation 
rather than physics. Most of the Main:... settings 
are deprecated as a consequence.
      •  
 

    • The sample main programs in the examples subdirectory 
have been updated. This includes a change to the new favoured 
methods and settings outlined above, plus some update of the 
physics contents. Some of the examples have been combined, 
some others have been added (e.g. for R-hadrons), and as a consequence 
some renumbering has been made. See the modified list of 
sample main programs for 
the new status. In particular note that (the new) main61.cc 
allows streamlined input and output in HepMC, like main42.cc 
(previously main32.cc), but additionally links to LHAPDF. 
      •  
 

    • The examples/configure script has new optional argument 
--with-pythia8. It can be used to set the new 
PYTHIA8LOCATION environment variable, which then is used 
in examples/Makefile to give the path to the PYTHIA 
library. Thereby it becomes possible to relocate (parts of) the 
examples directory and still obtain the correct path. 
Thanks to Mikhail Kirsanov.
      •  
 

    • Polarization information has been included as a new 
Particle property, that can be set by 
void pol(double polIn) and obtained by 
double pol(). Default value is 9., 
in agreement with the Les Houches standard. Event listings have 
been expanded to optionally display this information. Currently 
polarization is not used internally.
      •  
 

    • The matrix element merging machinery has been modified as follows. 

      - Improved handling of the hard process, so that MadGraph5-produced 
LHE files do not produce problems (sometimes, the choices of MG4 on what 
to put into a LHEF have changed in MG5). 

      - Improved handling of colour for easier handling of states with 
many quarks (the code has been tested for states with up to 5 
q qbar pairs and some gluons). 

      - Improved checking which clusterings are allowed. Now, clusterings 
should immediately be rejected if they lead to unphysical states, 
without the need to explicitly construct these states. This was needed 
to get t tbar production, VBF and some simple SUSY processes 
running with reasonable generality. 

      - Improved handling of incomplete histories. Now there is an 
additional switch allowing code to try to swap some colours when fewer 
clusterings than requested have been found. 

      •  
 

    • Updates in the handling of graviton resonances in scenarios with 
extra dimensions. 

      - Now all G decays have correct angular distribution, which was not 
the case before for W/Z decays. 

      - Added the possibility for G to only couple to longitudinal 
W/Z bosons, which affects both the width and angular distributions. 

      - Added decays to Higgs pairs, G → hh. 

      •  
 

    • Bug fix in the findJunctions() function in 
ProcessLevel.cc. Changes introduced in version 
8.145 (to allow for junctions in baryon-number-violating 
processes) did not correctly handle the remapping of color 
tags that can be applied when adding beam remnants to events with 
multiparton interactions. A simpler and more stable algorithm is 
now applied for the simplest cases, with the more complex one only 
invoked for cases such as BNV, which are normally considered before 
remnants are added, hence avoiding this particular problem. Also some 
other changes in the handling of junction, including a safeguard to 
reject systems with three or more interconnected junctions.
      •  
 

    • Bug fix and updates to the SLHA interface. Possibility of infinite 
loop during ProcessLevel::initSLHA corrected. Modifications 
to SusyLesHouches to allow interpretation of SLHA1 spectra 
with R-parity violation. Rather than reject spectra that do not conform 
fully to the SLHA2 standard for RPV, the interface will now first look 
for SLHA1 mixing matrices and attempt to translate those into SLHA2 ones 
if possible. In this case, warnings that the expected SLHA2 blocks were 
not found will be printed. It is up to the user to check that the 
derived SLHA2 information is correct. Corresponding additions to 
SusyCouplings.cc to extract mixing-matrix information 
from the relevant SLHA2 RPV blocks when RPV is switched on.
      •  
 

    • Updated SLHA example main24.cmnd to use new example 
spectrum, cmssm.spc, corresponding to CMSSM point 
10.1.1, obtained with SOFTSUSY 3.3.0. Thanks to B. Allanach for 
providing the new spectrum file.
      •  
 

    • A new include/FastJet3.h header file simplifies 
interfacing of FastJet to Pythia. For details see documentation in 
the file itself. Thanks to Gavin Salam for this contribution.
      •  
 

    • The handling of diffraction has been made more flexible. 
Specifically the "total" Pomeron-proton cross section can now be made 
to depend on the mass of the diffractive system. This does not affect 
the diffractive cross section in pp collisions, which is set separately, 
but is used in the MPI machinery to affect the average number of 
interactions per Pomeron-proton collision. Furthermore, the allowed 
range for some parameters has been expanded. Thanks to Robert 
Ciesielski.
      •  
 

    • New method Pythia::forceTimeShower(...) can be used to 
generate a single final-state cascade from a set of partons, without 
any knowledge of prior history. This is mainly intended for toy studies. 
The meaning of the ProcessLevel:all switch has been modified 
so that this parton-level function is available, but not any others 
at this level. 

      •  
 

    • ATLAS tune A2 now included. Thanks to Deepak Kar for 
providing it.
      •  
 

    • Change in the handling of recoils of timelike showers in resonance 
decays, in cases of coloured resonances such as t → b W. In 
the first step the W always acts as recoiler to the b, 
but in subsequent step previously the W remained as recoiler to 
one dipole, while now all QCD-radiating partons recoil against another 
coloured parton. The old behaviour could give a (small) unphysical spike 
of radiation collinear with the colourless recoiler in the subsequent 
emissions (while the pattern of the first was and remains correct). 
The old behaviour can be recovered for checks, see 
TimeShower:recoilToColoured. 
Thanks to Yevgeny Kats for pointing out this issue (previously noted 
for Pythia 6 by several persons). 

      •  
 

    • Bug fixes for rootexamples/Makefile and restoration 
of some deleted information in rootexamples/README. 
Thanks to Axel Naumann and Bernhard Meirose.
      •  
 

    • Bug fix, so that displaced vertices are possible in resonance 
decay chains. Thanks to Daniel Blackburn and Andy Buckley for 
pointing this out.
      •  
 

    • Bug fix for Info counter 2.
      •  
 

    • Bug fix so that sextet quarks now are read in correctly from 
Les Houches Event files; previously the (anti)colours were set 
to 0.
      •  
 

    • Year updated to 2012 in copyright statements etc.
      •  
 

    • Reformatting to reduce the number of code lines with more 
than 79 characters.
      •  
 

    • Pythia::initSLHA() moved from public 
to private. 

      •  
 

    • Remove warning message when tau polarization is set by hand.
      •  
 

    • Several minor changes to reduce the number of warnings issued 
by the clang compiler. The origin of some warnings remains unclear 
so those remain to track down (could also be compiler bugs; note that 
we discuss warnings, not errors). Thanks to Randy MacLeod for bringing 
this up.
      •  
 

    • The worksheet has been updated to be in step with Pythia 8.160.
      •  
 

    • Several other minor corrections in the code and documentation.
      •  
 

     

    •  
 

  • 8.162: 12 March 2012 

       
 

    • A new option allows for several partons to share the recoil in 
final-state radiation, seeTimelike 
Showers. It is mainly intended to be used in the context of 
matching to matrix elements, and so only to be used in the first 
few branchings.
      •  
 

    • Several new processes for LED dijet production, see 
Extra Dimensions.
      •  
 

    • Small update of the Sigma2ffbar2LEDllbar and 
Sigma2ffbar2LEDgammagamma LED processes.
      •  
 

    • New Sigma2QCffbar2llbar 
contact interaction 
process.
      •  
 

    • Inclusion of a new method in the 
matrix-element merging 
framework to influence the construction of histories, e.g. to already 
in the construction of histories disallow paths that fail the 
2 → 2 cuts.
      •  
 

    • Further minor updates of the matrix-element merging code, 
mainly for improved clarity.
      •  
 

    • Minor bug fix in the handling of beam and event information fed 
in from an LHAup instance.
      •  
 

    • Minor bug fix for potential crashes from uninitialized variables 
for the merging machinery when merging is not used.
      •  
 

    • Updated History class for matrix element merging, 
also avoiding some compiler warnings.
      •  
 

    • Bug fixes in the handling of correlated mass choices in resonance 
decays, such as H → Z^*0 Z^*0.
      •  
 

    • Bug fix when the process-level execution is switched off, 
where Info::isResolved() could be called before its 
value was initialized. Thanks to Christian Pulvermacher 
for finding this.
      •  
 

    • Corrected matrix-element expression for mass selection in 
A^0 → Z^*0 Z^*0 and A^0 → W^*+ W^*-.
      •  
 

    • SM Higgs mass updated to 125 GeV and default width and branching 
ratios modified accordingly. Minor technical improvements of width 
calculation.
      •  
 

    • The usage of nested classes has been removed from 
SusyLesHouches, since it could give compilation errors 
on some platforms. The new class names begin with LH 
and all classes have been put inside the Pythia8 
namespace.
      •  
 

    • Minor Makefile updates. Thanks to Mikhail Kirsanov.
      •  
 

    • Minor changes to avoid some clang compiler warnings on the 
Mac OS X platform.
      •  
 

     

    •  
 

  • 8.163: 27 March 2012 

       
 

    • New methods in the 
Info class, 
id1pdf(), id2pdf(), x1pdf() 
and x2pdf(), to denote the partons for which parton 
distribution values have been defined. Previously this was assumed 
to agree with the incoming partons to the hard process, the same 
methods without the pdf qualifier. However, now the 
POWHEG approach offers a counterexample. Also the reading and 
handling of Les Houches (and other) events, and the interface 
to HepMC, has been modified accordingly. 

      •  
 

    • The decay of Higgs and top resonances read in from Les Houches 
Event files is now performed with angular correlations as for 
internal processes. LHE files should normally contain all process-specific 
resonance decay chains and, if not, decays are made isotropic. 
The H → WW/ZZ → f fbar f' fbar' and 
t → b W → b f fbar correlations are process-independent, 
however, and thus can be handled internally. If part of the decay 
chain has already been set, e.g. H → WW/Z> or 
t → b W, then the subsequent decays are still isotropic.
      •  
 

    • Updated instructions how to link to HepMC, 
in README.HepMC.
      •  
 

    • Bug fix in the turn-on of resolved diffraction for low 
CM energies. Thanks to Erwin Visser.
      •  
 

    • Bug fix in the handling of string junctions at very high energies, 
caused by numerical errors. Thanks to Erwin Visser.
      •  
 

    • Some other small changes, mainly aesthetics.
      •  
 

     

    •  
 

  • 8.165: 8 May 2012 

       
 

    • The MBR (Minimum Bias Rockefeller) model for single, double and 
central diffraction [Cie12] is included as new option 
Diffraction:PomFlux = 5. 
It is specifically intended for p p and pbar p 
interactions, and is currently the only option that also supports 
central diffraction. Thus the basic machinery for Central Diffraction 
(a.k.a. Double Pomeron Exchange) has now been implemented. 
See examples/main04.cc for an example. 
Thanks to Robert Ciesielski for contributing the new code. 

      •  
 

    • For a tau lepton in an external process, by default the 
SPINUP number in the Les Houches Accord now is interpreted as giving 
the tau helicity, and is used for its decay.
      •  
 

    • A tau coming from a W now defaults to being purely 
lefthanded when neither of the existing matrix elements apply.
      •  
 

    • Decay mode t → H+ b included as an option.
      •  
 

    • Four ATLAS tunes have been implemented as options for 
Tune:pp: A2-minbias-mstw2008lo, AU2-cteq6l1, AU2-mstw2008lo, 
and AU2-ct10. The new flag Tune:preferLHAPDF can be used 
to switch between the LHAPDF and the internal implementation of a 
PDF set, in cases where both are available.
      •  
 

    • Reorder libraries in examples/Makefile, specifically 
move LIBGZIP so that it is properly linked when used. 
Thanks to Erik Schnetter.
      •  
 

    • Minor modification so that LHAPDF can be used for PDFs in the hard 
process, with one of the built-in PDFs for the rest, even if LHAPDF is 
compiled so as to handle only one concurrent PDF set.
      •  
 

    • Bug fix, that ParticleDecays:mixB = off did not 
switch off B0 - B0bar and Bs0 - Bs0bar mixing. 
Thanks to James Catmore.
      •  
 

    • Bug fix for the handling of gluon polarization of initial-state 
radiation, where an anisotropic azimuthal distribution was inadvertently 
generated in some 2 → 1 processes. The update also includes 
always setting the second daughter zero for the two partons coming in to 
a hard 2 → 1 process. Thanks to Antonio Policicchio.
      •  
 

    • Bug fix, that the setting of the number of user hooks MPI steps did 
not use UserHooks::canVetoMPIStep() properly.
      •  
 

    • Some other small changes, mainly documentation and aesthetics.
      •  
 

     

    •  
 

  • 8.170: 21 September 2012 

       
 

    • Streamline default behaviour and options for choice of GeV or MeV 
for output to the HepMC event format, see 
HepMC Interface. 
Also set the mass of HepMC particles explicitly, rather than having 
it calculated implicitly. Thanks to James Monk and Andy Buckley.
      •  
 

    • The tau decay machinery has been further augmented with 
matrix elements and form factors for a variety of decay modes, such 
that all modes with a branching ratio above 0.1% are fully modeled. 
Several new classes and methods have been added to this end, 
Also, a tau pair coming from a Z^0 decay is now 
handled by assuming the Z^0 to be unpolarized when neither 
of the existing matrix elements apply. Taus coming from B baryons are 
handed as for B mesons.
      •  
 

    • Flavour violating decays have been added to the squark, gluino, 
neutralino and chargino decay tables.
      •  
 

    • Extend the UserHooks::subEvent(...) method so that it 
also works passably at the process level. Also new option for 
UserHooks::omitResonanceDecays(...).
      •  
 

    • New methods UserHooks::canVetoPartonLevelEarly() 
and UserHooks::doVetoPartonLevelEarly( const Event&) 
are intended to be used the same way as the existing ones without 
Early in their names, but allow veto right after 
the ISR + FSR + MPI evolution, before beam remnants are added and 
resonance decays are considered.
      •  
 

    • Central diffraction now available for all 
PomFlux 
options, not only the MBR model. This has been constructed by analogy 
with the respective assumptions made for single diffraction, but 
includes some arbitrariness. Therefore the cross section is left 
easily rescaleable and, for backwards compatibility with tunes 
that does not contain it, easily possible to switch off, see 
the relevant section. 

      •  
 

    • Reading of ALPGEN parameter and event files has been added, 
see ALPGEN and MLM Merging. 

      •  
 

    • MLM matching has been added, as a first step for ALPGEN events, 
see ALPGEN and MLM Merging. 

      •  
 

    • The CKKW-L merging machinery has been upgraded in a number of respects. 

      - More thorough treatment of pp>bb~e+e-veve~ with 
additional b-jets. 

      - Corrected hard mu_r and mu_f choices for 
dijet and prompt photon. 

      - More ways to define a hard process, e.g. with the LEPTONS and 
NEUTRINO tags. The merging will understand LHE files for mixed processes 
(e.g. W+ and W- production together). 

      - More merging scale definitions. 

      - More freedom to generate all possible histories. 

      - Internal check (and cut) on Les Houches events in 
Pythia::mergeProcess if merging scale value of the events 
is below the value given to Pythia by setting Merging::TMS. 

      •  
 

    • It now works to have R-parity violating decays of R-hadrons, 
i.e. baryon number violation in a vertex displaced from the primary 
one.
      •  
 

    • The documentation of diffractive processes by the 
Info 
methods has been expanded and corrected. This also include the 
list() method.
      •  
 

    • Particle masses and widths have been updated to agree with the 
2012 RPP values [Ber12]. Thanks to Piotr Zyla for data file 
and James Catmore for program to update the PYTHIA tables from this 
input.
      •  
 

    • New methods jetAssignment and removeJet 
added to the SlowJet class.
      •  
 

    • Introduce angular correlation in decay chain 
H → gamma Z0 → gamma f fbar. Thanks to Tim Barklow and 
Michael Peskin.
      •  
 

    • Introduce simple way to bias the selection of 2 → 2 
processes towards larger pT values, with a compensatingly 
decreasing event weight, see 
Phase Space Cuts. Only offers a 
subset of the possibilities allowed by UserHooks, 
but simpler to use. The main08.cc program has been 
expanded to illustrate this possibility, and also expanded to 
include low-pT subsamples.
      •  
 

    • The two remaining non-NLO tunes from [ATL12] are now 
included.
      •  
 

    • The Info methods 
nTried, nSelected, nAccepted, sigmaGen and 
SigmaErr now takes the code of an individual process 
as an optional argument.
      •  
 

    • It is now possible to generate resonance decays, followed by 
showers and hadronization, without having them associated with any 
specific process. This is part of an expanded 
Hadron-Level Standalone 
machinery, as before triggered by ProcessLevel = off, 
but additionally requiring Standalone:allowResDec = on. 
Input can either be directly into the event 
event record or via a (simplified) Les Houches Event File.
      •  
 

    • New configure script options --installdir, 
--prefix and --datadir can be used to set the 
location(s) to which the library, header and data directories 
will be copied by a make install subsequent to the 
make. Thanks to Mikhail Kirsanov.
      •  
 

    • Fix charge in antiparticle name when particle read in from SLHA 
file. Thanks to Johan Alwall.
      •  
 

    • Pointers now only compared with == and != (not e.g. > 0), to avoid 
warnings in gcc 4.7.
      •  
 

    • New check that version number of the code matches that of the 
XML files. If not, no events can be generated. Thanks to James Monk 
for suggestion.
      •  
  

    • New check that mother and daughter indices have been set to give 
a consistent event history. Can be switched on/off with the new 
Check:history flag.
      •  
 

    • A new method LHAup::newEventFile has been added to 
switch to reading in events from another LHE file without having to 
reinitialize the whole class. Lower-level routines like 
openFile and closeFile have been added to 
handle correct order of operations also when an intermediate gzip 
decompression step is involved.
      •  
 

    • LHAup::eventLHEF() can now be called with an optional 
argument false, to make event files somewhat smaller by 
reducing the amount of blanks.
      •  
 

    • A new mode Beams:nSkipLHEFatInit introduced to 
skip ahead the first few events in a Les Houches Event File (cf. the 
LHAup::skipEvent(nSkip) method).
      •  
 

    • Introduce a new pair of user hooks that can be used to reject 
the sequence of hard-process resonance decays, without rejecting 
the production of the primary resonances.
      •  
 

    • The possibility of separate multiplicative prefactors to the 
renormalization and factorization default pT^2 scale has been 
introduced for both timelike and spacelike showers.
      •  
 

    • Bug fixes in history information for R-hadron production, which also 
fixes HepMC conversion in this case.
      •  
 

    • Bug corrected in SigmaSusy.cc, for chargino+neutralino 
production. Indexing error for incoming quark states in the process 
Sigma2qqbar2charchi0, resulted in incorrect CKM factors.
      •  
 

    • Corrected a bug in SusyLesHouches.cc, for NMSSM spectra. 
The unitarity check on the neutralino mixing matrix was faulty, leading 
to erroneous messages about unitarity violations and SUSY being switched 
off.
      •  
 

    • Bug fixes in the handling of resolved and unresolved diffractive events. 
Thanks to Robert Ciesielski for debug.
      •  
 

    • Do not set up FSR dipoles for 2 → 1 processes.
      •  
 

    • Check that some channel open for resonance decays. Also further 
check whether resonance decay treatment should be invoked.
      •  
 

    • Bug fix in reading of particle names from SLHA input.
      •  
 

    • Change mass, width and decay mode(s) of D*_s(10431). Thanks to 
Michal Petran.
      •  
 

    • Bug fix in leptoquark production (lepton sign in 
q g → LQ l).
      •  
 

    • New argument added to SpaceShower::reassignBeamPtrs 
for diffractive event processing, as already available for 
TimeShower.
      •  
 

    • Do not write warnings in SpaceShower for weights 
above unity if the evolution scale is below 1 GeV^2.
      •  
 

    • Add default values for member variables in some constructors, 
and some related changes for AlphaStrong code.
      •  
 

    • Warn if negative-energy parton in hadronization.
      •  
 

    • The MPI pT values assumed in the beam remnant setting 
of primordial kT and colour reconnection probability were 
incorrect for diffractive events.
      •  
 

    • The arrays with MPI information were not reset when parton or 
hadron level fails and a new try is made. Only affected few events.
      •  
 

    • MPI statistics can not yet be accumulated for diffractive events, 
and therefore the relevant routine is no longer called.
      •  
 

    • Bug fix in the double parton scattering suppression from 
energy-momentum conservation.
      •  
 

    • Outgoing proton masses were not set in the event record for 
elastic scattering (but kinematics handling was correct).
      •  
 

    • Bug fixes in the identification and documentation of junctions, 
previously leading to some unnecessarily rejected events. Also 
other improvements leading to fewer errors.
      •  
 

    • Slightly increased values for FragmentationSystems:mJoin and 
StringFragmentation::FACSTOPMASS to reduce failure rate, without 
noticeably affecting event properties.
      •  
 

    • The Les Houches cross section error is now taken into account 
in the final Pythia error for strategies +-3.  New methods 
LHAup::xSecSum() and LHAup::xErrSum() 
provide the necessary information. 

      •  
 

    • When a tau pair comes from a massless photon, in dipole shower 
evolution, for the decay description the mother photon is reassigned 
to have the sum of the tau momenta.
      •  
 

    • Minor change in initialization sequence for user hooks, 
to allow for more flexibility.
      •  
 

    • Do not print warnings when multiparton interaction weights are 
only slightly above unity.
      •  
 

    • Do not write warnings for three known particles that are so close 
to threshold that widths are switched off to avoid trouble.
      •  
 

    • Some minor typographical changes.
      •  
 

     

    •  
 

  • 8.175: 18 February 2013 

       
 

    • Richard Corke and Stefan Ask leave as active authors, and have 
new e-mail addresses.
      •  
 

    • Jesper Roy Christiansen and Philip Ilten join as new authors.
      •  
 

    • A severe bug found and corrected in the handling of junction 
fragmentation. For some string topologies it could lead to parts of 
partonic systems mainly aligned along the beam axis to obtain an 
effective tilt, thereby giving rise to a pair of opposing jets that 
should not be there. The bug was an unfortunate side consequence 
of the improvement of junction handling introduced in version 8.170, 
and do not affect versions prior to that. To the largest extent 
possible, it is recommended to avoid this version. Potential errors 
are likely to be most relevant for processes at low pT, 
whereas processes that already have a large scale proportionately 
are less affected. Sincere apologies, and thanks to Hannes Jung for 
discovering it.
      •  
 

    • The initialization is aborted when the user tries to change 
the value of a non-existing variable in the Settings or 
ParticleData databases, and it becomes impossible to generate events. 
This may be rather brutal, as opposed to the former policy of 
ignoring such commands (except for a warning), but avoids that 
the user wastes time on a run that is likely not to give the wanted 
results. Thanks to Gavin Salam for stressing this point.
      •  
 

    •  Major updates of the merging code. CKKW-L code is made more flexible, 
and now includes additional options to facilitate merging of additional 
jets in MSSM processes. Unitarised ME+PS merging (UMEPS) is introduced 
as a new merging scheme for tree-level input. An example main program 
for UMEPS is  added. UMEPS is documented in the new section 
UMEPS Merging. 
NLO merging methods are now functional. Two NLO merging schemes are 
implemented: NL3 and unitarised NLO+PS merging (UNLOPS), 
both of which are illustrated with example main programs. NLO merging 
is documented in NLO Merging. 

      •  
 

    • The machinery for the MLM-style matching of jets has been 
expanded to cover input either from ALPGEN, as before, or from 
Madgraph (or other LHEF input), and expanded to cover either a 
matching algorithm based on the one in ALPGEN or the one in Madgraph. 
See Jet Matching for 
details.
      •  
 

    • Neutrons and antineutrons are now allowed as incoming 
beam particles. The neutron PDF is derived from the chosen proton 
PDF by simple isospin conjugation, and total/elastic/diffractive 
cross sections are assumed the same as for protons.
      •  
 

    • Update in Pythia.cc, to allow user to override 
SLHA mass values by hand, controlled by the new flag 
SLHA:allowUserOverride. This was motivated by people 
wanting to be able to read in a base SLHA spectrum and then quickly 
scan over particular mass values manually. Corresponding documentation 
update in SUSYLesHouchesAccord.xml.
      •  
 

    • Updates to the ResonanceWidths and 
SUSYResonanceWidths classes, to merge common 
initialization steps into the base class. Corresponding documentation 
update in SemiInternalResonances.xml. Also some cosmetic 
changes in SUSYResonanceWidths to improve conformity 
with CODINGSTYLE rules.
      •  
 

    • The SlowJet jet finder is updated with an option 
for an alternative R separation based on 
cosh(Delta y)-cos(Delta phi).
      •  
 

    • Statistics information on the separate subprocesses among 
the Les Houches external input is improved.
      •  
 

    • The sophisticated tau decay machinery has been expanded so that 
it can also handle production of taus in hypothetical 
lepton-number-violating processes, such as H0 → tau+ mu-. 

      •  
 

    • Branching ratios for most light hadrons, and the tau lepton, 
have been updated to agree with the 2012 Review of Particle Physics 
[Ber12], by Anil Pratap Singh.
      •  
 

    • Photon radiation can now be included in leptonic two-body decays 
of hadrons by setting the new switch 
ParticleDecays:allowPhotonRadiation = on. 
The lower shower cutoff TimeShower:pTminChgL has been 
reduced so as to let the simulated photon spectrum extend to lower 
energies. 

      •  
 

    • A new switch MultipartonInteractions:bSelScale has 
been introduced, to determine the relevant mass or pT scale 
of an event for the selection of impact parameter in the MPI 
framework. In spite of a changed default behaviour (the old being 
option 3), practical consequences are small for most processes. 

      •  
 

    • The new UserHooks::retryPartonLevel() method can be 
overloaded, so that the same hard process is reused for a new try 
on the parton level, rather than being rejected completely. 
Thanks to Christian Bauer for suggestion.
      •  
 

    • A new method Event::undoDecay(int i) can be used 
to remove the daughters of a particle, and further descendents. 
Does not work for removing the daughters of a parton.
      •  
 

    • The interface to HepMC has been updated. In particular 
the support for old version has been removed, thereby allowing 
significant simplifications. The list of methods to set and get the 
behaviour of the conversion routine has also been updated. The 
set_event_scale method now stores the renormalization 
scale (rather than the pT stored previously). 
The examples main41, main42, 
main61, main62 and main84 
have been updated accordingly.
      •  
 

    • Four new methods to interrogate the default values of the 
four different kinds of settings.
      •  
 

    • The Vec4 class has been expanded with methods to 
return true rapidity or pseudorapidity, and the R distance 
in (y, phi) or (eta, phi) cylindrical coordinates. 
Thanks to Andy Buckley.
      •  
 

    • The copy and = constructors of the Pythia class 
are made private so that compilers will block use of them. 
Thanks to Andy Buckley.
      •  
 

    • New option of the Pythia constructor, to omit 
the banner printout where necessary. Also new master switch 
Print:quiet to switch off most runtime program 
messages. Thanks to Andy Buckley.
      •  
 

    • Updates in the machinery that restores all affected values 
to their defaults before setting a new tune.
      •  
 

    • A new Vect class has been introduced for the 
Settings database. 
It can be used to store a vector of double-precision real values. 

      •  
 

    • Three new groupings of existing QCD processes: 
SoftQCD:inelastic, HardQCD:hardccbar 
and HardQCD:hardbbbar. 
      •  
 

    • New possibility to set the a and b parameters 
of the Lund fragmentation function separately for heavy flavour. 
Especially the b is expected to be universal, but 
Aurelien Martens and Eli Ben-Haim have found improved fits by 
relaxing this condition, so we formalize this possibility without 
recommeding it.
      •  
 

    • Method Pythia::getPDFPtr is made public so it can 
be used also outside the Pythia class to access PDF 
sets. Internally the PDF bookkeeping is modified to allow for 
the simultaneous handling of several PDF sets. Thanks to 
Mathias Ritzmann for providing code changes.
      •  
 

    • It is now possible to read the separate scale values of all 
outgoing particles, if this info is stored as a single line in 
an LHEF, begun by a single hashtag character. This is currently 
nonstandard and may evolve.
      •  
 

    • Some improvements to the install targets code in the 
Makefile and error detection in 
examples/configure. Thanks to Mikhail Kirsanov.
      •  
 

    • The CC and FC global environment variables can be set to specify 
the C++ and Fortran 77/90 compilers, otherwise set in 
configure and examples/configure. 
Thanks to Mikhail Kirsanov.
      •  
 

    • Check of shell choice in configure removed. 
Thanks to Andy Buckley.
      •  
 

    • Minor modifications in the Makefile and text for Root examples, 
relevant if shared libraries are used.
      •  
 

    • Previously the whole std namespace has been made 
available in PythiaStdlib.h. Now this behaviour has 
been replaced by the already-existing alternative, where only a 
part of std is made available, and only inside the 
Pythia8 namespace. Thus user code does not become 
reliant on the choices in PYTHIA. Some related smaller code 
rearrangements. Thanks to Andy Buckley.
      •  
 

    • When the "second hard" machinery is used to set two hard processes, 
the old behaviour for the SpaceShower:pTmaxMatch = 0 and 
TimeShower:pTmaxMatch = 0 options was to use the combined 
final state of the two processes to decide what pT_max 
scale to use. This could have unexpected consequences. Now each process 
is analyzed separately, and therefore has a separate scale. Also 
for MultipartonInteractions:pTmaxMatch = 0 the two 
interactions now are analyzed separately. It is then enough that 
one of them should limit pT_max of subsequent MPI's for 
such a restriction to be imposed. Thanks to Monika Jindal for 
discovering this bug.
      •  
 

    • The TimeShower:pTdampMatch option had no effect if 
switched on, since some code was missing. The manual description 
of it and the more relevant SpaceShower:pTdampMatch 
has been updated.
      •  
 

    • One minor bug fix and some corrections to make the code compile 
on Windows/VisualC++-2010. A simple error function parametrization 
has been added to PhaseSpace.h and 
SigmaTotal.h, to be uncommented in case 
erf(x) is not available by default. Thanks to Guy Barrand 
for providing the information.
      •  
 

    • Break a closed dependency loop between ParticleData.h 
and ResonanceWidths.h. Thanks to Andreas Schaelicke and 
Andy Buckley.
      •  
 

    • In the examples/mainXX.cc programs, class instances 
that have been created with a new are explicitly 
deleted at the end of the run. Useful if trying to track 
memory leaks.
      •  
 

    • Bug fix for R-parity violating decays of R-hadrons, to treat the 
special case of sequential resonance decays after the RPV one. 
Thanks to Mariangela Lisanti for pointing out this bug.
      •  
 

    • Changed the maximum allowed value for Tune:pp. 
Thanks to Yevgeny Kats.
      •  
 

    • Bug fix in the z-value weight for QED ISR emissions.
      •  
 

    • Some destructors moved for improved consistency.
      •  
 

    • Constants DEBUG renamed DBSUSY in the 
SusyCouplings and SusyResonanceWidths 
classes to avoid confusion. Thanks to Guy Barrand.
      •  
 

    • Many typos corrected and some other minor improvements of the 
online documentation.
      •  
 

    • The year has been updated to 2013 in files.
      •  
 

     

    •  
 

  • 8.176: 18 April 2013 

       
 

    • Introduce weak shower, whereby W^+- and Z^0 
gauge bosons can be produced interleaved with ordinary QCD and 
QED emissions. Currently only available for final-state radiation, 
and off by default, see 
Timelike Showers. 
A new status code 56 denotes W^+- and Z^0 gauge 
bosons produced by the FSR parton showers.
      •  
 

    • The gauge bosons produced by showers decay at the end of the 
parton-level step. New identity codes 93 for a Zcopy 
and 94 for a Wcopy can be used to set the decay modes 
of shower-produced gauge bosons separately from hard-process ones, 
but do not appear in event listings.
      •  
 

    • The Particle class has been updated with a pointer 
to the mother Event class, replacing the previous pointer 
to the ParticleData class. Thereby several old methods 
in the Event class can obtain new equivalents for the 
Particle one. That is, a call event.method(i) 
instead can be written event[i].method(). The duplicated 
methods are statusHepMC, iTopCopy, 
iBotCopy, iTopCopyId, iBotCopyId, 
motherList, daughterList, sisterList, 
isAncestor and undoDecay. Omitted is 
sisterListTopBot, while sisterList obtains an 
optional argument. A new method index is introduced. 
The now redundant Event class methods will be removed in 
PYTHIA version 8.2. Thanks to Andy Buckley for suggestion. 

      •  
 

    • The initialization of SUSY couplings and particle data has been 
moved from the Pythia and ProcessLevel classes 
to a new dedicated SLHAinterface class.
      •  
 

    • Some SUSY 3-body decays have been implemented with Matrix Element 
weighting.
      •  
 

    • New method Info::scalup() returns the Les Houches 
SCALUP variable. This method is now used instead of 
QFac() in main31.cc, to set maximal scale for 
shower radiation in case that the event contains no POWHEG emission, and 
thereby sidesteps a potential bug when PDF information is provided in the 
Les Houches Event File. Also some default values have been changed in 
main31.cmnd. Thanks to James Monk.
      •  
 

    • New parameter LesHouches:mRecalculate can be used to 
prompt the recalculation of a particle mass from its four-momentum. 
This may be required for Les Houches input events where the nominal 
mass of the particle species is stored in the mass slot, rather than 
the actual mass of the current particle, as foreseen.
      •  
 

    • Extra checks that tracing of junctions in particular and partonic 
colour singlets in general are only performed when the event record 
contains coloured unhadronized partons. Thanks to James Catmore.
      •  
 

    • Minor correction related to GZIP support. Thanks to James Monk.
      •  
 

    • Recalculate the phase space of diffractive processes for each event 
when variable beam energies are allowed. Thanks to Oldrich Kepka for 
finding the bug.
      •  
 

    • Fix a bug whereby a gluon in diffractive systems would obtain a 
light-quark mass.
      •  
 

    • The Pythia::check() method can also check that each 
particle obeys E^2 - p^2 = m^2 (within numerical precision). 
Speed up the checks on mother-daughter history by streamlining the 
handling of simple cases.
      •  
 

     

    •  
 

  • 8.180: 20 September 2013 

       
 

    • Nishita Desai joins as new author.
      •  
 

    • All the header files include/*.h have been moved to 
include/Pythia8/*.h to better comply with conventions 
in other libraries (* = generic name). Thus also all 
code lines #include "*.h" that refer to PYTHIA files 
have been changed to #include "Pythia8/*.h". Thanks to 
Andy Buckley for suggestion.
      •  
 

    • The class that converts PYTHIA events to the HepMC format 
is renamed from I_Pythia8 to Pythia8ToHepMC, 
the files where the class resides from HepMCInterface.h/.cc 
to Pythia8ToHepMC.h/.cc, and the subdirectory of the 
.cc file from hepmcinterface to 
pythia8tohepmc. This clarifies the role of the class 
and avoids potential future name clashes with other interfaces. 
Makefiles and example main runs have been modified accordingly. 
Thanks to Andy Buckley.
      •  
 

    • The configure/Makefile step has been extended such that a 
bin/pythia8-config script is constructed, to simplify 
subsequent linking of PYTHIA 8 and other libraries to your main 
program. See the README file for further instructions, 
the new "Compling programs against PYTHIA 8" section. 
Thanks to Andy Buckley for code and text.
      •  
 

    • The "minbias" event class has been renamed into the 
(inelastic) "nondiffractive" one, since the "minbias" denomination 
should be reserved for an experimental procedure. Needless to say, 
also the separation into diffraction or not could be made by 
experimental procedures, but here it is more generally accepted that 
there is an underlying theoretical description that takes precedence 
in cases of conflict. Thus the SoftQCD:minBias flag 
has been remaned SoftQCD:nonDiffractive, and the 
Info::isMinBias() method has been renamed 
Info::isNonDiffractive(). The old names have been retained 
as alternatives for now. Thanks to Andy Buckley.
      •  
 

    • Four PDF sets have been added from the NNPDF2.3 QCD+QED family: 
the central sets for LO with alpha_s(M_Z) = 0.130, 
LO with alpha_s(M_Z) = 0.119, NLO with alpha_s(M_Z) = 0.119, 
and NNLO with alpha_s(M_Z) = 0.119. 
Thanks to Juan Rojo and Stefano Carrazza for providing the code.
      •  
 

    • The fjcore version 3.0.5 code from FastJet 
has been included with the PYTHIA distribution. SlowJet now 
by default becomes a front end to fjcore, but the old 
behaviour is retained as an option. The new approach is faster, 
but the older one still offers a few extra possibilities. Note that 
the new useFJcore argument to the SlowJet 
constructor has been included as a new last-but-one argument, 
since the last one is likely to be used much more infrequently 
and logically depends on the value set for useFJcore. 
Thanks to Matteo Cacciari, Gavin Salam and Gregory Soyez for making 
the fjcore code freely distributable.
      •  
 

    • New method constituents(i) in FastJet 
returns a vector with the indices of the particles belonging to the 
i'th jet.
      •  
 

    • The global recoil option for final-state showers has been extended 
with a few more options to improve possibility for matching to 
output from other programs, such as aMC@NLO.
      •  
 

    • Further extensions of the weak-showering machinery, but still 
experimental. Now also includes W/Z emission in the initial 
state.
      •  
 

    • Introduce new qqbar option for 
SigmaProcess::inFlux() and update documentation.
      •  
 

    • Improve the description of meMode for resonances 
and illustrate how to force specific Higgs branching ratios in 
main16.cmnd.
      •  
 

    • Added two previously missing SUSY processes for associated 
production of a gluino with a neutralino or chargino: 
SUSY:qqbar2chi0gluino and 
SUSY:qqbar2chi+-gluino, using the cross section 
expressions in [Fuk11]. Validated against PYTHIA 6 and 
XSUSY.
      •  
 

    • Added direct slepton production from q qbar annihilation, 
SUSY:qqbar2sleptonantislepton. Validated against 
PYTHIA 6.
      •  
 

    • Corrected some slepton and squark EW couplings in 
SusyCouplings.
      •  
 

    • Generalized the cross section formulae for 
SUSY:qg2squarkgluino to the case of non-minimal flavor 
violation, using the expressions in [Fuk11]. Validated 
against PYTHIA 6 and XSUSY. The new implementation is compatible 
with both SLHA2 and SLHA1, whereas the older was only compatible 
with SLHA1.
      •  
 

    • Generalized the cross section formulae for 
SUSY:qqbar2gluinogluino to the case of non-minimal 
flavour violation, using the expressions in [Fuk11]. 
(Also corrected a factor 2 in that paper on the color factor for 
st and su interference terms.) The new 
implementation is compatible with both SLHA2 and SLHA1, whereas 
the older was only compatible with SLHA1.
      •  
 

    • Changed the default meMode for SLHA DECAY modes to 100, 
to allow off-shell decays. Enabled the user to choose a different 
meMode if desired, via a new mode, SLHA:meMode. 
If values different from 100 are selected (e.g., 103), modes that are 
extremely far off shell (defined as needing a fluctuation of more than 
100 times the root-sum-square of the widths of the mother and daughter 
particles) will still default back to 100, though the user may of course 
still switch them off if so desired. Added documentation about this in 
SusyLesHouchesAccord.xml. Deleted the parameter 
SLHA:minDecayDeltaM, which would prevent the possibility 
of off-shell decays unless set to a large negative value.
      •  
 

    • Added calculation of decay lengths to SLHA DECAY modes.
      •  
 

    • Updated documentation of SUSY processes and SLHA-related 
parameters. Additional reference to the new cross sections included in 
the bibliography.
      •  
 

    • Allow six-flavour running of alpha_s above the top threshold, 
and implement option with CMW rescaling of the Lambda values, for use 
in coherent showers.
      •  
 

    • The merging code has been updated, with corrected handling of massive 
partons. This amends problems in tt̄, and makes clusterings of 
massive emissions W, Z, ~g possible. The bookkeeping for the hard 
process has been upgraded to accommodate more general BSM processes. The 
treatment of incomplete histories has been upgraded, so that histories which 
allow for at least one clustering will be used in the unitarisation. Also, 
states that do not allow for any clustering will not be subject to the 
(internal, optional) cut on the input events any longer, to guarantee full 
phase space coverage. This is important for processes for which a 
non-negligible fraction of states lead to incomplete histories, e.g. 
tt̄W production. Further, functionality for reclustering 
FSR off SUSY particles has been added. A new setting allows more easily 
to switch between 4-flavour and 5-flavour merging schemes.
      •  
 

    • The main85.cc - main88.cc have obtained 
support for zipped LHE input files, and have nicer printing of the 
inclusive cross section at the end.
      •  
 

    • Introduced new mode LesHouches:setLifetime so that 
the lifetime information in Les Houches input can be replaced by 
the standard PYTHIA selection procedure. By default this is applied to 
tau leptons, since some matrix-element generators do not set 
this lifetime. Thanks to James Monk and Thorsten Kuhl.
      •  
 

    • A new examples/main46.cc illustrates how to write a 
ProMC file with PYTHIA events. Thanks to Sergei Chekanov.
      •  
 

    • The Vect class has been renamed PVec 
and a new MVec class has been introduced along the same 
lines, see the Settings database. 
They can be used to store a vector of double-precision real or integer 
values, respectively, i.e. of parms or modes, hence the names. 
Thanks to Abram Krislock.
      •  
 

    • Two new vectors of integers SUSY:idVecA and 
SUSY:idVecB have been introduced to allow a more flexible 
selection of final states in SUSY processes, see the 
SUSY process selection page. 
The selection machinery has been expanded to cope. 
Thanks to Abram Krislock.
      •  
 

    • New switch PartonLevel:earlyResDec to give 
first simple option where resonances are allowed ro decay before 
colour reconnection and beam remnants are added.
      •  
 

    • Renamed the mass(...) methods to mSel(...) 
in the Particle, ParticleData and 
ParticleDataEntry classes, to avoid users mistaking 
Particle::mass() for Particle::m().
      •  
 

    • Fixed a missing (unused) argument in some derived classes when 
the mRecalculate parameter was introduced in Les Houches 
code in version 8.176.
      •  
 

    • Removed several unused class variables from header files, based 
on new compiler information.
      •  
 

    • Fixed a bug in Sigma2ffbar2HposHneg, where 
int(...) was used instead of abs.(...). 
Thanks to Vittorio Zecca.
      •  
 

    • Fixed missing re-initialization of Breit-Wigner mass generation 
parameters for externally set new resonance widths. 
Thanks to Vittorio Zecca.
      •  
 

    • Fixed several places where division by zero or adressing of 
arrays out-of-bounds could occur. While some were trivial, others 
revealed underlying errors, notably in the handling of some SUSY 
processes and resonances. New checks against unphysical SLHA input 
have been implemented. Also some bug fixes in the new weak-shower 
ISR component, the sphericity analysis, the event undo-decay option, 
and more. Thanks to Vittorio Zecca.
      •  
 

    • Bug fix in the tau decay description for decay chains like 
H0 → A0 A0 → 4 tau, caused by an erroneous assignment of 
the number of spin states. Thanks to Brock Tweedie.
      •  
 

    • Add setting of some TimeShower variables that might 
remain uninitialized. Thanks to Christian Pulvermacher. 

      •  
 

    • Extra check in TimeShower for incoming massive 
particles, where a recalculation of kinematics to an equivalent 
massless case could give a slightly negative effective dipole mass 
(with endpoint masses subtracted). Thanks to Paolo Torrielli. 

      •  
 

    • Updated manual on how to implement new showers, mainly detailing 
new optional method arguments. Thanks to Mathias Ritzmann. 

      •  
 

    • Corrected bug in SigmaSUSY which caused flavour violating 
slepton production (for R-parity conserving cases too).
      •  
 

    • Corrected bug in SusyCouplings where tan(beta) 
was not read from LHA file for RPV spectrum.
      •  
 

    • Modified the contact interaction term normalization of the 
f fbar → l lbar process to agree with the one used in 
PYTHIA 6. Documentation of the ContactInteractions:Lambda 
updated to reflect this. Thanks to Daniel Hayden.
      •  
 

    • Introduced copy constroctor for the Event class.
      •  
 

    • Reset the Higgs mass range when its mass is changed in 
examples/main14.cc.
      •  
 

    • Remove obsolete examples/main91.cc and associated 
Makefile code. 

      •  
 

    • Catch cases where junction topologies are sent to the ministring 
machinery, which is not set up to handle it, and therefore could 
give segmentation faults. Very rare.
      •  
 

     

    •  
 

  • 8.183: 23 January 2014 

       
 

    • A potentially severe bug has been found in version 8.180, 
in that by mistake the SpaceShower:vetoWeakJets, 
SpaceShower:dopTDampMass, TimeShower:dopTDampMass 
were given a default on value rather than off. 
Its main effect is to reduce the emission of two or more hard 
jets for processes 221 and 222, i.e. gamma^*/Z^0/W^+- 
production: implicitly it thereby also softens the pT 
spectrum of the gauge boson. Other processes should be unaffected.

      •  
 

    • The emission of W and Z weak gauge bosons in 
ISR and FSR parton showers is now fully implemented [Chr14]. 
Note extra optional arguments for a few TimeShower and 
SpaceShower methods.
      •  
 

    • The worksheet, intended to help beginners get going, has been
updated and expanded. Notably with new exercises on CKKW-L merging 
and Higgs production and decay. Also some new comments on platform 
requirements and how to meet them. An examples/main80 
program has been added for the merging exercise.
      •  
 
 

    • The LO PDF sets in the NNPDF2.3 QCD+QED family are now valid down to 
Q^2 = 1 GeV^2, the NLO and NNLO sets are positive definite, 
and all go down to x = 10^-9. Grid file names have been updated 
to agree with the LHAPDF ones. New main54.cc test program. 
Thanks to Juan Rojo and Stefano Carrazza for the updates.
      •  
 

    • Three new e^+e^- tunes to some 
LEP data, one by Peter Skands and two by Nadine Fischer. Also the
more comprehensive Monash 2013 tune 
[Ska14], which covers both e^+e^- and 
pp/pbarp data.
      •  


    • Some moderate changes in the merging machinery, as follows.
Added the D-parameter of the kT measure as an input. Added 
flag to not remove states with incomplete histories from NLO input 
(normally, these are taken from tree-level samples instead). This is 
necessary for a correct treatment of inputs with "diagram subtraction", 
as is e.g. needed for the definition of p p → tW.
Updated the bookkeeping of the hard process in the merging again, so
that the "hard process candidates" are not switched around too often.
Updated the main files with proper header for the standard
access( string, F_OK) function.
      •  
 

    • Changed status code for partons in the hardest interaction of
the SoftQCD processes, from being in the 30'ies range
to being in the 20'ies range. Thus a nondiffractive event is always
set to have one 20'ies hard interaction. Diffractive events can have
zero, one or two hard interactions, the latter possible only for 
double diffraction. A low-mass diffractive system need not contain
any perturbative interaction, but a nonperturbatively kicked-out
quark or gluon is defined by the new 24 status code.
      •  
 

    • New flag HiggsSM:NLOWidths, on by default, enables
rescaling of the internal PYTHIA partial widths of the SM Higgs 
to the values recommended by the LHCXSWG.
      •  
 

    • New possibility to pick a fixed factorization scale for ISR 
(and also for FSR) for debug purposes.
      •  
 

    • New processes for s-channel exchange of a gamma^*/Z^0 
or W^+-, written as 2 → 2 processes, whereas the 
already existing processes separate production and decay of a resonance. 

      •  
 

    • New parameter StringZ:aExtraSQuark allows an optional 
softening in hadronization for strange quarks.
      •  
 

    • New method vector<int> Info::codesHard() returns a 
vector of the hard-process codes set up for current run.
      •  
 

    • New optional extra argument for the Hist::table methods 
allow output of underflow and overflow. Thanks to Mathias Ritzmann.
      •  
 

    • Two extra safety checks for the Event class. 
Thanks to Mathias Ritzmann.
      •  
 

    • Allow a leptoquark also to couple to the top quark. Thanks to 
Katherine Leney.
      •  


    • Updated problematic return statement in JetMatching.h.
Thanks to Simon de Visscher.
      •  
 

    • New addresses for Nishita Desai and Philip Ilten.
      •  
 

    • Changes in TimeShower, (Susy)ResonanceWidths, 
SigmaProcess and other classes to avoid undefined variables. 
Thanks to Vittorio Zecca.
      •  


    • Major cleanup of code and documentation files: replace tabs, remove 
blank characters at the end of code lines, keep one blank character at the
end of documentation lines, restrict to a maximum of 79 characters per line
wherever feasible, and update year to 2014.
      • 
 

     

    •  
 

  • 8.185: 15 March 2014 

       


    • Bug found in the handling of ISR in diffractive systems,  whereby the 
maximal scale of shower emissions was set to  the mass of the diffractive 
system, rather than the pT of the hardest interaction. This bug 
was introduced in version 8.183, when the status code of the hardest MPI 
was changed, and notably gave too many high-pT particles, and 
also a bit too high multiplicity. In versions up to and including 8.180, 
instead the pT of the second MPI was not strictly limited by the 
pT of the first, which also gave an overestimate, but smaller.
      •  
 

    • Added the FxFx matching and shower-kT matching schemes as new options,
see Jet Matching. Still under validation,
though. Part of the new code is contributed by Simon de Visscher.
      • 


    • A number of minor improvements of the merging machineries for 
increased flexibility, including removed hardcoded maximum number of jets, 
updated bookkeeping to allow for a event-by-event definition of the 
hard process for merging, removed incomplete histories warning, small 
change in mass treatment for reclustering, and more. Also removed internal 
setting of K factors for main88.cc.
      •  


    • New documentation on the 
POWHEG Merging implemented in 
examples/main31.cc.
      •  


    • Higgs particle names (re)simplified to MSSM standard. New 
SLHAInterface code added to reset the names appropriately 
(SLHA2 conventions) when in the NMSSM, CPV or RPV scenarios. PDG codes 
45 and 46 reserved as placeholders for further Higgs states.
      • 
 

    • SUSY decay channels now have meMode = 0, except those to 
Gravitinos, for which no code has been implemented (they stay 103). 
By default, the width of SUSY particles is formally set to 1.0,  but all 
decay channels start out with zero branching fractions. The proper BRs 
should then be calculated by PYTHIA, and/or read in via SLHA decay tables,
and/or set by hand by the user.
      •  


    • Expanded SLHA input support for NMSSM type models, plus a few 
further minor SUSY improvements and fixes.
      •  


    • Significant extensions to the 
charmonium and bottomonium 
machineries, as follows.

      Many more colour-octet states, according to a new labelling 
convention 9 9 n_Q n_state n_r n_L n_J, where n_Q is 
the flavour of the state (4 or 5),  n_state is 0 for 3S1, 
1  for 1S0 and 2  for 3PJ states, while n_r, n_L 
and n_J are the same as in the PDG convention. They are
assigned masses 10 MeV above the respective colour singlet state.

      Data on processes which only differ by the radial excitation 
number n_r are grouped into vectors for on/off switches 
and long-dinstance matrix elements, but share the same process code
and short-distance matrix elements. This grouping involves some upgrades 
to the cross section bookkeeping machinery.

      Matrix elements for 3DJ processes are now implemented.

      The mass splitting between all colour octet and singlet state pairs 
can be set by one common parameter.

      •  


    • Introduce new switch TimeShower:weightGluonToQuark that 
allows a few alternative approaches to set the g → q qbar 
branching rate, notably for heavy quarks, and similarly for 
gamma → f fbar. Associated scale-setting freedom regulated
by new TimeShower:scaleGluonToQuark parameter.

      •  


    • New/improved capabilities to accept LesHouches input of events
without any incoming beams, e.g. for resonances with decay chains, 
where PYTHIA should add showers and hadronization, see
Les Houches Accord and 
Hadron-Level Standalone.
The Standalone:allowResDec switch is removed and its 
functionality largely taken over by the 
ProcessLevel:resonanceDecays one.
      •  


    • New possibility to comment out a section of lines in a command file,
when read in by Pythia::readFile(...). The first line of 
the commented section should begin by /* and the last
begin by */. Best is to keep them on separate lines,
optionally followed by comments, but no commands.
      •  
 

    • A new FVec class has been introduced to store a vector 
of flags, see the Settings database.

      •  


    • Minor update in configure to be used by
pythia8-config. Thanks to Andy Buckley.
      •  


    • Minor update in the configure options for FastJet.
      •  


    • Minor update of the Monash 2013 tune.
      •  


    • In the joining of nearby partons, q + g → q , 
in preparation of the hadronization step, it is ensured that the quark 
mother is listed as mother1(), even when this is not the
order of the mothers in the event record.
      •  


    • The histogram table printing routines have acquired a new argument
that allows the x value at the beginning of each bin to be
printed, instead of the midpoint one.
      •  
 

    • Implement (some of the) functionality of the doForceWidth 
switch for resonances, that has been missing so far, and improve the
documentation thereof. Thanks to Xiaohu Sun.
      •  


    • Update some of the hadron-level code to handle several
junction-antijunction topologies in a single event.
      •  


    • Bug fix for MPI's with an x-dependent impact parameter profile
(bProfile = 4) and the factorization scale of a hard process as 
the maximal scale (pTmaxMatch = 1), that this maximum was not
respected, so that an MPI could be harder than the hard process.  
Thanks to Stefano Camarda.
      •  


    • A few minor bug fixes in the new weak-shower machinery.
      •  


    • Minor fix in the setting of the pointer of a particle data entry to 
the full particle data table.
      •  


    • Some other minor fixes.
      •  
 

     

    •  
 

  • 8.186: 8 July 2014 

       


    • A new user hook to help experimentation with colour reconnection,
in particular in relation to resonance decays.
      •  


    • New set of parameters StringFlav:probQQ1toQQ0join,
used to pick diquark spin when two already produced quarks are to be
joined into a diquark.
      •  


    • Possibility to map the bookkeeping of exotic unresolved incoming 
beams in Les Houches event files onto neutrino beams, see
LesHouches:idRenameBeams. Primarily intended for dark matter 
annihilation. Thanks to Leila Ali Cavasonza and Jiang-Hao Yu.

      •  


    • A correction to the graviton (G^*) + parton hard processes 
(5003-5005) to account for off-shell G^* production. 
The previous formula assumed the graviton was on-shell and could 
greatly overestimate the low-mass tail of the G^*.
      •  


    • Bug fixes in examples/JetMatching.h, for uninitialized
boolean, and number of partons to match for heavy flavour handling. 
The former bug was introduced with the new matching schemes in version
8.185 and affected matching to ALPGEN, since no events were rejected.
Thanks to Chris Brust.
      •  


    • Differentiate the reading of ALPGEN masses, so that vanishing 
c or b masses in ALPGEN are not unwittingly used
where inappropriate. Also protect the c and b masses 
from being set too low in TimeShower and 
SpaceShower, so that flavour thresholds are not messed up.
      •  


    • Reduce number of maximum violation warnings in SpaceShower 
by leaving some headroom for branching weights.
      •  


    • Bug fix that hasVetoed in Pythia.cc was not
reset correctly in some specific cases. Thanks to Christian Bauer and
Calvin Berggren.
      •  


    • Bug fix in PartonLevel.cc where a reference could become invalid.
Thanks to Thomas Rössler.
      •  


    • Improvements and bug fixes in junction handling.
      •  


    • Bug fix to not reuse colour indices in double diffraction.
      •  


    • Bug fix in the calculation of the average mass threshold of 
open decay channels of a resonance. Reduced 
ResonanceWidths::MASSMIN parameter value.
      •  


    • Correct typo in left-right symmetry documentation. Thanks to 
Nady Bakhet.
      •  


    • Some other minor fixes. Thanks to Pere Mato for two of them.
      •  


     

    •  

 
 


 
 
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pythia8-8.1.86.orig/htmldoc/Welcome.html0000644000175000017500000000110112357553535016260 0ustar  sunsun

PYTHIA 8 online manual



  
 
 
 
 
 
 
 

 
 
pythia8-8.1.86.orig/htmldoc/ProgramClasses.html0000644000175000017500000001520012357553535017617 0ustar  sunsun

Program Classes




 

Program Classes
 
 
The complete PYTHIA 8 package contains 
a multitude of classes. 
There is no reason to describe all of them, with all of their 
methods, since most should not be touched by a normal user. 
Nevertheless some of the crucial ones are described in detail, 
as a help not only to advanced users but also to developers. 
We here provide a quick reference (still incomplete) which 
classes you can find described where on these pages. Normally 
you have to scroll down to find the details, since the top of 
the page contains information of more general interest. 
 

 

 
 

 
Class 
Reference 
Comment 

 
 

 
BeamShape 
Beam Shape 
vertex and beam momentum spread 

 
 

 
CellJet 
Event Analysis 
jet cone clustering analysis, intended for hadron collider 
topologies 

 
 

 
ClusterJet 
Event Analysis 
jet clustering analysis, intended for e^+e^- 
collider topologies 

 
 

 
CoupSM 
Standard Model Parameters 
couplings and mixing matrices 

 
 

 
CoupSUSY 
SUSY Les Houches Accord 
compute and store SUSY couplings, using input from SusyLesHouches 

 
 

 
DecayChannel 
Particle Data Scheme 
the properties of a single decay channel of  particle species 

 
 

 
Event 
Event Record 
the complete event record 

 
 

 
HepMC::Pythia8ToHepMC 
HepMC Interface 
convert a PYTHIA event record to the HepMC format 

 
 

 
Hist 
Histograms 
a primitive built-in histogramming package 

 
 

 
Info 
Event Information 
various one-of-a-kind information on the current event 

 
 

 
LHAPDFInterface 
Parton Distributions 
use PDF sets from the LHAPDF library 

 
 

 
LHAup 
Les Houches Accord 
base class for Les Houches external hard-event input 

 
 

 
Particle 
Particle Properties 
the properties of a particle in the event record 

 
 

 
ParticleData 
Particle Data Scheme 
the database of particle species properties 

 
 

 
ParticleDataEntry 
Particle Data Scheme 
the properties of a particle species 

 
 

 
PDF 
Parton Distributions 
base class for all PDFs 

 
 

 
Pythia 
Program Flow 
the top-level class, that drives the generation process 

 
 

 
ResonanceWidths 
Semi-Internal Resonances 
base class for all resonance-width treatment 

 
 

 
Rndm 
RandomNumbers 
a primitive built-in histogramming package 

 
 

 
RotBstMatrix 
Four-Vectors 
rotation and boosts of four-vectors 

 
 

 
Settings 
Settings Scheme 
the database that regulates the behaviour of the program 

 
 

 
SigmaProcess 
Semi-Internal Processes 
base class for all hard-process cross sections 

 
 

 
SlowJet 
Event Analysis 
simple jet clustering using the kT, anti-kT or 
Cambridge/Aachen algorithms. 

 
 

 
SpaceShower 
Implement New Showers 
spacelike, i..e. initial-state showers 

 
 

 
Sphericity 
Event Analysis 
sphericity analysis of events 

 
 

 
SusyLesHouches 
SUSY Les Houches Accord 
reading in of SLHA information 

 
 

 
Thrust 
Event Analysis 
thrust analysis of events 

 
 

 
TimeShower 
Implement New Showers 
timelike, i..e. final-state showers 

 
 

 
UserHooks 
User Hooks 
get access to some steps of the generation process 

 
 

 
Vec4 
Four-Vectors 
four-vectors 

 
 

 
 
 
 

 
 

 
 
 
 

 
 

 
 

 
You can also access an extensive list of the public 
methods in these classes, 
which compensates for the brevity of the current page. 
 
 
pythia8-8.1.86.orig/htmldoc/Fragmentation.html0000644000175000017500000004472212357553535017503 0ustar  sunsun

Fragmentation




 

Fragmentation
 
 
Fragmentation in PYTHIA is based on the Lund string model 
[And83, Sjo84]. Several different aspects are involved in 
the physics description, which  here therefore is split accordingly. 
This also, at least partly, reflect the set of classes involved in 
the fragmentation machinery. 
 

 
The variables collected here have a very wide span of usefulness. 
Some would be central in any hadronization tuning exercise, others 
should not be touched except by experts. 
 

 
The fragmentation flavour-choice machinery is also used in a few 
other places of the program, notably particle decays, and is thus 
described on the separate Flavour 
Selection page. 
 

Fragmentation functions
 
 
The StringZ class handles the choice of longitudinal 
lightcone fraction z according to one of two possible 
shape sets. 
 

 
The Lund symmetric fragmentation function [And83] is the 
only alternative for light quarks. It is of the form 

 
    f(z) = (1/z) * (1-z)^a * exp(-b m_T^2 / z) 

 
with the two main free parameters a and b to be 
tuned to data. They are stored in 
 

parm   StringZ:aLund   
 (default = 0.3; minimum = 0.0; maximum = 2.0)

The a parameter of the Lund symmetric fragmentation function. 
   
 

parm   StringZ:bLund   
 (default = 0.8; minimum = 0.2; maximum = 2.0)

The b parameter of the Lund symmetric fragmentation function. 
   
 

 
In principle, each flavour can have a different a. Then, 
for going from an old flavour i to a new j one 
the shape is 

 
    f(z) = (1/z) * z^{a_i} * ((1-z)/z)^{a_j} * exp(-b * m_T^2 / z) 

 
This is only implemented for s quarks and diquarks relative to normal quarks: 
 

parm   StringZ:aExtraSQuark   
 (default = 0.0; minimum = 0.0; maximum = 2.0)

allows a larger a for s quarks, with total 
a = aLund + aExtraSQuark. 
   
 

parm   StringZ:aExtraDiquark   
 (default = 0.5; minimum = 0.0; maximum = 2.0)

allows a larger a for diquarks, with total 
a = aLund + aExtraDiquark. 
   
 

 
Finally, the Bowler modification [Bow81] introduces an extra 
factor 

 
    1/z^{r_Q * b * m_Q^2} 

 
for heavy quarks. To keep some flexibility, a multiplicative factor 
r_Q is introduced, which ought to be unity (provided that 
quark masses were uniquely defined) but can be set in 
 

parm   StringZ:rFactC   
 (default = 1.0; minimum = 0.0; maximum = 2.0)

r_c, i.e. the above parameter for c quarks. 
   
 

parm   StringZ:rFactB   
 (default = 0.67; minimum = 0.0; maximum = 2.0)

r_b, i.e. the above parameter for b quarks. 
   
 

parm   StringZ:rFactH   
 (default = 1.0; minimum = 0.0; maximum = 2.0)

r_h, i.e. the above parameter for heavier hypothetical quarks, 
or in general any new coloured particle long-lived enough to hadronize. 
   
 

 
Within the string framework, the b parameter is universal, 
i.e. common for all flavours. Nevertheless, for fits to experimental 
data, better agreement can be obtained if both a_Q and 
b_Q can be set freely in a general expression 

 
    f(z) = 1/z^{1 + r_Q * b_Q * m_Q^2} * (1-z)^a_Q * exp(-b_Q m_T^2 / z) 

 
The below switches and values can be used to achieve this. They should 
be used with caution and constitute clear deviations from the Lund 
philosophy. 
 

flag   StringZ:useNonstandardC   
 (default = off)

use the above nonstandard Lund ansatz for c quarks. 
   
 

flag   StringZ:useNonstandardB   
 (default = off)

use the above nonstandard Lund ansatz for b quarks. 
   
 

flag   StringZ:useNonstandardH   
 (default = off)

use the above nonstandard Lund ansatz for hypothetical heavier quarks. 
   
 

parm   StringZ:aNonstandardC   
 (default = 0.3; minimum = 0.0; maximum = 2.0)

The a parameter in the nonstandard Lund ansatz for 
 c quarks. 
   
 

parm   StringZ:aNonstandardB   
 (default = 0.3; minimum = 0.0; maximum = 2.0)

The a parameter in the nonstandard Lund ansatz for 
 b quarks. 
   
 

parm   StringZ:aNonstandardH   
 (default = 0.3; minimum = 0.0; maximum = 2.0)

The a parameter in the nonstandard Lund ansatz for 
hypothetical heavier quarks. 
   
 

parm   StringZ:bNonstandardC   
 (default = 0.8; minimum = 0.2; maximum = 2.0)

The b parameter in the nonstandard Lund ansatz for 
c quarks. 
   
 

parm   StringZ:bNonstandardB   
 (default = 0.8; minimum = 0.2; maximum = 2.0)

The b parameter in the nonstandard Lund ansatz for 
b quarks. 
   
 

parm   StringZ:bNonstandardH   
 (default = 0.8; minimum = 0.2; maximum = 2.0)

The b parameter in the nonstandard Lund ansatz for 
hypothetical heavier quarks. 
   
 

 
As another nonstandard alternative, it is possible to switch over to the 
Peterson/SLAC formula [Pet83] 

 
     f(z) = 1 / ( z * (1 - 1/z - epsilon/(1-z))^2 ) 

 
for charm, bottom and heavier (defined as above) by the three flags 
 

flag   StringZ:usePetersonC   
 (default = off)

use Peterson for c quarks. 
   
 

flag   StringZ:usePetersonB   
 (default = off)

use Peterson for b quarks. 
   
 

flag   StringZ:usePetersonH   
 (default = off)

use Peterson for hypothetical heavier quarks. 
   
 

 
When switched on, the corresponding epsilon values are chosen to be 
 

parm   StringZ:epsilonC   
 (default = 0.05; minimum = 0.01; maximum = 0.25)

epsilon_c, i.e. the above parameter for c quarks. 
   
 

parm   StringZ:epsilonB   
 (default = 0.005; minimum = 0.001; maximum = 0.025)

epsilon_b, i.e. the above parameter for b quarks. 
   
 

parm   StringZ:epsilonH   
 (default = 0.005; minimum = 0.0001; maximum = 0.25)

epsilon_h, i.e. the above parameter for hypothetical heavier 
quarks, normalized to the case where m_h = m_b. The actually 
used parameter is then epsilon = epsilon_h * (m_b^2 / m_h^2). 
This allows a sensible scaling to a particle with an unknown higher 
mass without the need for a user intervention. 
   
 

Fragmentation pT
 
 
The StringPT class handles the choice of fragmentation 
pT. At each string breaking the quark and antiquark of the pair are 
supposed to receive opposite and compensating pT kicks according 
to a Gaussian distribution in p_x and p_y separately. 
Call sigma_q the width of the p_x and p_y 
distributions separately, i.e. 

 
    d(Prob) = exp( -(p_x^2 + p_y^2) / 2 sigma_q^2). 

 
Then the total squared width is 

 
    <pT^2> = <p_x^2> +  <p_y^2> = 2 sigma_q^2 = sigma^2. 

 
It is this latter number that is stored in 
 

parm   StringPT:sigma   
 (default = 0.304; minimum = 0.0; maximum = 1.0)

the width sigma in the fragmentation process. 
   
 

 
Since a normal hadron receives pT contributions for two string 
breakings, it has a <p_x^2>_had = <p_y^2>_had = sigma^2, 
and thus <pT^2>_had = 2 sigma^2. 
 

 
Some studies on isolated particles at LEP has indicated the need for 
a slightly enhanced rate in the high-pT tail of the above 
distribution. This would have to be reviewed in the context of a 
complete retune of parton showers and hadronization, but for the 
moment we stay with the current recipe, to boost the above pT 
by a factor enhancedWidth for a small fraction 
enhancedFraction of the breakups, where 
 

parm   StringPT:enhancedFraction   
 (default = 0.01; minimum = 0.0; maximum = 1.)

enhancedFraction,the fraction of string breaks with enhanced 
width. 
   
 

parm   StringPT:enhancedWidth   
 (default = 2.0; minimum = 1.0; maximum = 10.0)

enhancedWidth,the enhancement of the width in this fraction. 
   
 

Jet joining procedure
 
 
String fragmentation is carried out iteratively from both string ends 
inwards, which means that the two chains of hadrons have to be joined up 
somewhere in the middle of the event. This joining is described by 
parameters that in principle follows from the standard fragmentation 
parameters, but in a way too complicated to parametrize. The dependence 
is rather mild, however, so for a sensible range of variation the 
parameters in this section should not be touched. 
 

parm   StringFragmentation:stopMass   
 (default = 1.0; minimum = 0.0; maximum = 2.0)

Is used to define a W_min = m_q1 + m_q2 + stopMass, 
where m_q1 and m_q2 are the masses of the two 
current endpoint quarks or diquarks. 
   
 

parm   StringFragmentation:stopNewFlav   
 (default = 2.0; minimum = 0.0; maximum = 2.0)

Add to W_min an amount stopNewFlav * m_q_last, 
where q_last is the last q qbar pair produced 
between the final two hadrons. 
   
 

parm   StringFragmentation:stopSmear   
 (default = 0.2; minimum = 0.0; maximum = 0.5)

The W_min above is then smeared uniformly in the range 
W_min_smeared = W_min * [ 1 - stopSmear, 1 + stopSmear ]. 
   
 

 
This W_min_smeared is then compared with the current remaining 
W_transverse to determine if there is energy left for further 
particle production. If not, i.e. if 
W_transverse < W_min_smeared, the final two particles are 
produced from what is currently left, if possible. (If not, the 
fragmentation process is started over.) 
 

Simplifying systems
 
 
There are a few situations when it is meaningful to simplify the 
original task, one way or another. 
 

parm   HadronLevel:mStringMin   
 (default = 1.; minimum = 0.5; maximum = 1.5)

Decides whether a partonic system should be considered as a normal 
string or a ministring, the latter only producing one or two primary 
hadrons. The system mass should be above mStringMin plus the 
sum of quark/diquark constituent masses for a normal string description, 
else the ministring scenario is used. 
   
 

parm   FragmentationSystems:mJoin   
 (default = 0.3; minimum = 0.2; maximum = 1.)

When two colour-connected partons are very nearby, with at least 
one being a gluon, they can be joined into one, to avoid technical 
problems of very small string regions. The requirement for joining is 
that the invariant mass of the pair is below mJoin, where a 
gluon only counts with half its momentum, i.e. with its contribution 
to the string region under consideration. (Note that, for technical 
reasons, the 0.2 GeV lower limit is de facto hardcoded.) 
   
 

parm   FragmentationSystems:mJoinJunction   
 (default = 1.0; minimum = 0.5; maximum = 2.)

When the invariant mass of two of the quarks in a three-quark junction 
string system becomes too small, the system is simplified to a 
quark-diquark simple string. The requirement for this simplification 
is that the diquark mass, minus the two quark masses, falls below 
mJoinJunction. Gluons on the string between the junction and 
the respective quark, if any, are counted as part of the quark 
four-momentum. Those on the two combined legs are clustered with the 
diquark when it is formed. 
   
 

Ministrings
 
 
The MiniStringFragmentation machinery is only used when a 
string system has so small invariant mass that normal string fragmentation 
is difficult/impossible. Instead one or two particles are produced, 
in the former case shuffling energy-momentum relative to another 
colour singlet system in the event, while preserving the invariant 
mass of that system. With one exception parameters are the same as 
defined for normal string fragmentation, to the extent that they are 
at all applicable in this case. 
 
A discussion of the relevant physics is found in [Nor00]. 
The current implementation does not completely abide to the scheme 
presented there, however, but has in part been simplified. (In part 
for greater clarity, in part since the class is not quite finished yet.) 
 

mode   MiniStringFragmentation:nTry   
 (default = 2; minimum = 1; maximum = 10)

Whenever the machinery is called, first this many attempts are made 
to pick two hadrons that the system fragments to. If the hadrons are 
too massive the attempt will fail, but a new subsequent try could 
involve other flavour and hadrons and thus still succeed. 
After nTry attempts, instead an attempt is made to produce a 
single hadron from the system. Should also this fail, some further 
attempts at obtaining two hadrons will be made before eventually 
giving up. 
   
 

Junction treatment
 
 
A junction topology corresponds to an Y arrangement of strings 
i.e. where three string pieces have to be joined up in a junction. 
Such topologies can arise if several valence quarks are kicked out 
from a proton beam, or in baryon-number-violating SUSY decays. 
Special attention is necessary to handle the region just around 
the junction, where the baryon number topologically is located. 
The junction fragmentation scheme is described in [Sjo03]. 
The parameters in this section should not be touched except by experts. 
 

parm   StringFragmentation:eNormJunction   
 (default = 2.0; minimum = 0.5; maximum = 10)

Used to find the effective rest frame of the junction, which is 
complicated when the three string legs may contain additional 
gluons between the junction and the endpoint. To this end, 
a pull is defined as a weighed sum of the momenta on each leg, 
where the weight is exp(- eSum / eNormJunction), with 
eSum the summed energy of all partons closer to the junction 
than the currently considered one (in the junction rest frame). 
Should in principle be (close to) sqrt((1 + a) / b), with 
a and b the parameters of the Lund symmetric 
fragmentation function. 
   
 

parm   StringFragmentation:eBothLeftJunction   
 (default = 1.0; minimum = 0.5)

Retry (up to 10 times) when the first two considered strings in to a 
junction both have a remaining energy (in the junction rest frame) 
above this number. 
   
 

parm   StringFragmentation:eMaxLeftJunction   
 (default = 10.0; minimum = 0.)

Retry (up to 10 times) when the first two considered strings in to a 
junction has a highest remaining energy (in the junction rest frame) 
above a random energy evenly distributed between 
eBothLeftJunction and 
eBothLeftJunction + eMaxLeftJunction 
(drawn anew for each test). 
   
 

parm   StringFragmentation:eMinLeftJunction   
 (default = 0.2; minimum = 0.)

Retry (up to 10 times) when the invariant mass-squared of the final leg 
and the leftover momentum of the first two treated legs falls below 
eMinLeftJunction times the energy of the final leg (in the 
junction rest frame). 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/HiggsProcesses.html0000644000175000017500000013175312357553535017636 0ustar  sunsun

Higgs Processes




 

Higgs Processes
 
 
This page documents Higgs production within and beyond the Standard Model 
(SM and BSM for short). This includes several different processes and, 
for the BSM scenarios, a large set of parameters that would only be fixed 
within a more specific framework such as MSSM. Some choices can be made 
irrespective of the particular model: 
 

flag   Higgs:cubicWidth   
 (default = off)

The partial width of a Higgs particle to a pair of gauge bosons, 
W^+ W^- or Z^0 Z^0, depends cubically on the 
Higgs mass. When selecting the Higgs according to a Breit-Wigner, 
so that the actual mass mHat does not agree with the 
nominal m_Higgs one, an ambiguity arises which of the 
two to use [Sey95]. The default is to use a linear 
dependence on mHat, i.e. a width proportional to 
m_Higgs^2 * mHat, while on gives a 
mHat^3 dependence. This does not affect the widths to 
fermions, which only depend linearly on mHat. 
This flag is used both for SM and BSM Higgs bosons. 
   
 

flag   Higgs:runningLoopMass   
 (default = on)

The partial width of a Higgs particle to a pair of gluons or photons, 
or a gamma Z^0 pair, proceeds in part through quark loops, 
mainly b and t. There is some ambiguity what kind 
of masses to use. Default is running MSbar ones, but alternatively 
fixed pole masses are allowed (as was standard in PYTHIA 6), which 
typically gives a noticeably higher cross section for these channels. 
(For a decay to a pair of fermions, such as top, the running mass is 
used for couplings and the fixed one for phase space.) 
   
 

flag   Higgs:clipWings   
 (default = on)

The Breit-Wigner shape of a Higgs is nontrivial, owing to the rapid 
width variation with the mass of a Higgs. This implies that a Higgs 
of low nominal mass may still acquire a non-negligible high-end tail. 
The validity of the calculation may be questioned in these wings. 
With this option on, the Higgs:wingsFac value is used to 
cut away the wings. 

Warning: with this option on, the allowed mass range is 
shrunk, but never widened. This can lead to inconsistencies if a run 
consists of several subruns with different Higgs masses. The 
id:mMin and id:mMax values should therefore be 
reset (e.g. to the defaults 50. and 0.) when id:m0 is 
changed. 
   
 

parm   Higgs:wingsFac   
 (default = 50.; minimum = 0.)

With Higgs:clipWings on, all Higgs masses which deviate 
from the nominal one by more than Higgs:wingsFac 
times the nominal width are forbidden. This is achieved by setting 
the mMin and mMax values of the Higgs states 
at initialization. These changes never  allow a wider range than already 
set by the user, alternatively by the current default values, see 
warning above. 
   
 

 
One setting is specific to the Standard Model: 
 

flag   HiggsSM:NLOWidths   
 (default = on)

The partial width of the SM Higgs particle are multiplied by the 
respective factors needed to bring the LO widths encoded in PYTHIA 
to the NLO ones recommended by the LHCXSWG. The multiplicative 
factors have been derived for a 125 GeV Higgs, but should apply for a 
reasonable mass range around that value. 
   


Standard-Model Higgs, basic processes
 
 
This section provides the standard set of processes that can be 
run together to provide a reasonably complete overview of possible 
production channels for a single SM Higgs. 
The main parameter is the choice of Higgs mass, which can be set in the 
normal ParticleData database; thereafter the properties 
within the SM are essentially fixed. 
 

flag   HiggsSM:all   
 (default = off)

Common switch for the group of Higgs production within the Standard Model. 
   
 

flag   HiggsSM:ffbar2H   
 (default = off)

Scattering f fbar → H^0, where f sums over available 
flavours except top. Related to the mass-dependent Higgs point coupling 
to fermions, so at hadron colliders the bottom contribution will 
dominate. 
Code 901. 
   
 

flag   HiggsSM:gg2H   
 (default = off)

Scattering g g → H^0 via loop contributions primarily from 
top. 
Code 902. 
   
 

flag   HiggsSM:gmgm2H   
 (default = off)

Scattering gamma gamma → H^0 via loop contributions primarily 
from top and W. 
Code 903. 
   
 

flag   HiggsSM:ffbar2HZ   
 (default = off)

Scattering f fbar → H^0 Z^0 via s-channel Z^0 
exchange. 
Code 904. 
   
 

flag   HiggsSM:ffbar2HW   
 (default = off)

Scattering f fbar → H^0 W^+- via s-channel 
W^+- exchange. 
Code 905. 
   
 

flag   HiggsSM:ff2Hff(t:ZZ)   
 (default = off)

Scattering f f' → H^0 f f' via Z^0 Z^0 fusion. 
Code 906. 
   
 

flag   HiggsSM:ff2Hff(t:WW)   
 (default = off)

Scattering f_1 f_2 → H^0 f_3 f_4 via W^+ W^- fusion. 
Code 907. 
   
 

flag   HiggsSM:gg2Httbar   
 (default = off)

Scattering g g → H^0 t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 908. 
   
 

flag   HiggsSM:qqbar2Httbar   
 (default = off)

Scattering q qbar → H^0 t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 909. 
   
 

Standard-Model Higgs, further processes
 
 
A number of further production processes has been implemented, that 
are specializations of some of the above ones to the high-pT 
region. The sets therefore could not be used simultaneously 
without unphysical double-counting, as further explained below. 
They are not switched on by the HiggsSM:all flag, but 
have to be switched on for each separate process after due consideration. 
 

 
The first three processes in this section are related to the Higgs 
point coupling to fermions, and so primarily are of interest for 
b quarks. It is here useful to begin by reminding that 
a process like b bbar → H^0 implies that a b/bbar 
is taken from each incoming hadron, leaving behind its respective 
antiparticle. The initial-state showers will then add one 
g → b bbar branching on either side, so that effectively 
the process becomes g g → H0 b bbar. This would be the 
same basic process as the g g → H^0 t tbar one used for top. 
The difference is that (a) no PDF's are defined for top and 
(b) the shower approach would not be good enough to provide sensible 
kinematics for the H^0 t tbar subsystem. By contrast, owing 
to the b being much lighter than the Higgs, multiple 
gluon emissions must be resummed for b, as is done by PDF's 
and showers, in order to obtain a sensible description of the total 
production rate,  when the b quarks predominantly are produced 
at small pT values. 
 

flag   HiggsSM:qg2Hq   
 (default = off)

Scattering q g → H^0 q. This process gives first-order 
corrections to the f fbar → H^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → H^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → H^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 911. 
 
   

flag   HiggsSM:gg2Hbbbar   
 (default = off)

Scattering g g → H^0 b bbar. This process is yet one order 
higher of the b bbar → H^0 and b g → H^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 912. 
   
 

flag   HiggsSM:qqbar2Hbbbar   
 (default = off)

Scattering q qbar → H^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 913. 
   
 

 
The second set of processes are predominantly first-order corrections 
to the g g → H^0 process, again dominated by the top loop. 
We here only provide the kinematical expressions obtained in the 
limit that the top quark goes to infinity, but scaled to the 
finite-top-mass coupling in g g → H^0. (Complete loop 
expressions are available e.g. in PYTHIA 6.4 but are very lengthy.) 
This provides a reasonably accurate description for "intermediate" 
pT values, but fails when the pT scale approaches 
the top mass. 
  

flag   HiggsSM:gg2Hg(l:t)   
 (default = off)

Scattering g g → H^0 g via loop contributions primarily 
from top. 
Code 914. 
   
  

flag   HiggsSM:qg2Hq(l:t)   
 (default = off)

Scattering q g → H^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsSM:qg2Hq 
process above, with its direct fermion-to-Higgs coupling. 
Code 915. 
   
  

flag   HiggsSM:qqbar2Hg(l:t)   
 (default = off)

Scattering q qbar → H^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → H^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 916. 
   
 

Beyond-the-Standard-Model Higgs, introduction
 
 
Further Higgs multiplets arise in a number of scenarios. We here 
concentrate on the MSSM scenario with two Higgs doublets, but with 
flexibility enough that also other two-Higgs-doublet scenarios could 
be represented by a suitable choice of parameters. Conventionally the 
Higgs states are labeled h^0, H^0, A^0 and H^+-. 
If the scalar and pseudocalar states mix the resulting states are 
labeled H_1^0, H_2^0, H_3^0. In process names and parameter 
explanations both notations will be used, but for settings labels 
we have adapted the shorthand hybrid notation H1 for 
h^0(H_1^0), H2 for H^0(H_2^0) and 
A3 for A^0(H_3^0). (Recall that the 
Settings database does not distinguish upper- and lowercase 
characters, so that the user has one thing less to worry about, but here 
it causes problems with h^0 vs. H^0.) We leave the issue 
of mass ordering between H^0 and A^0 open, and thereby 
also that of H_2^0 and H_3^0. 
 

flag   Higgs:useBSM   
 (default = off)

Master switch to initialize and use the two-Higgs-doublet states. 
If off, only the above SM Higgs processes can be used, with couplings 
as predicted in the SM. If on, only the below BSM Higgs processes can 
be used, with couplings that can be set freely, also found further down 
on this page. 
   
 

Beyond-the-Standard-Model Higgs, basic processes
 
 
This section provides the standard set of processes that can be 
run together to provide a reasonably complete overview of possible 
production channels for a single neutral Higgs state in a two-doublet 
scenarios such as MSSM. The list of processes for neutral states closely 
mimics the one found for the SM Higgs. Some of the processes 
vanish for a pure pseudoscalar A^0, but are kept for flexibility 
in cases of mixing with the scalar h^0 and H^0 states, 
or for use in the context of non-MSSM models. This should work well to 
represent e.g. that a small admixture of the "wrong" parity would allow 
a process such as q qbar → A^0 Z^0, which otherwise is 
forbidden. However, note that the loop integrals e.g. for 
g g → h^0/H^0/A^0 are hardcoded to be for scalars for the 
former two particles and for a pseudoscalar for the latter one, 
so absolute rates would not be correctly represented in the case of 
large scalar/pseudoscalar mixing. 
 

flag   HiggsBSM:all   
 (default = off)

Common switch for the group of Higgs production beyond the Standard Model, 
as listed below. 
   
 

1) h^0(H_1^0) processes
 
 

flag   HiggsBSM:allH1   
 (default = off)

Common switch for the group of h^0(H_1^0) production processes. 
   
 

flag   HiggsBSM:ffbar2H1   
 (default = off)

Scattering f fbar → h^0(H_1^0), where f sums over 
available flavours except top. 
Code 1001. 
   
 

flag   HiggsBSM:gg2H1   
 (default = off)

Scattering g g → h^0(H_1^0) via loop contributions primarily 
from top. 
Code 1002. 
   
 

flag   HiggsBSM:gmgm2H1   
 (default = off)

Scattering gamma gamma → h^0(H_1^0) via loop contributions 
primarily from top and W. 
Code 1003. 
   
 

flag   HiggsBSM:ffbar2H1Z   
 (default = off)

Scattering f fbar → h^0(H_1^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1004. 
   
 

flag   HiggsBSM:ffbar2H1W   
 (default = off)

Scattering f fbar → h^0(H_1^0) W^+- via s-channel 
W^+- exchange. 
Code 1005. 
   
 

flag   HiggsBSM:ff2H1ff(t:ZZ)   
 (default = off)

Scattering f f' → h^0(H_1^0) f f' via Z^0 Z^0 fusion. 
Code 1006. 
   
 

flag   HiggsBSM:ff2H1ff(t:WW)   
 (default = off)

Scattering f_1 f_2 → h^0(H_1^0) f_3 f_4 via W^+ W^- 
fusion. 
Code 1007. 
   
 

flag   HiggsBSM:gg2H1ttbar   
 (default = off)

Scattering g g → h^0(H_1^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1008. 
   
 

flag   HiggsBSM:qqbar2H1ttbar   
 (default = off)

Scattering q qbar → h^0(H_1^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1009. 
 
 

2) H^0(H_2^0) processes
 
 

flag   HiggsBSM:allH2   
 (default = off)

Common switch for the group of H^0(H_2^0) production processes. 
   
 

flag   HiggsBSM:ffbar2H2   
 (default = off)

Scattering f fbar → H^0(H_2^0), where f sums over 
available flavours except top. 
Code 1021. 
   
 

flag   HiggsBSM:gg2H2   
 (default = off)

Scattering g g → H^0(H_2^0) via loop contributions primarily 
from top. 
Code 1022. 
   
 

flag   HiggsBSM:gmgm2H2   
 (default = off)

Scattering gamma gamma → H^0(H_2^0) via loop contributions 
primarily from top and W. 
Code 1023. 
   
 

flag   HiggsBSM:ffbar2H2Z   
 (default = off)

Scattering f fbar → H^0(H_2^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1024. 
   
 

flag   HiggsBSM:ffbar2H2W   
 (default = off)

Scattering f fbar → H^0(H_2^0) W^+- via s-channel 
W^+- exchange. 
Code 1025. 
   
 

flag   HiggsBSM:ff2H2ff(t:ZZ)   
 (default = off)

Scattering f f' → H^0(H_2^0) f f' via Z^0 Z^0 fusion. 
Code 1026. 
   
 

flag   HiggsBSM:ff2H2ff(t:WW)   
 (default = off)

Scattering f_1 f_2 → H^0(H_2^0) f_3 f_4 via W^+ W^- 
fusion. 
Code 1027. 
   
 

flag   HiggsBSM:gg2H2ttbar   
 (default = off)

Scattering g g → H^0(H_2^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1028. 
   
 

flag   HiggsBSM:qqbar2H2ttbar   
 (default = off)

Scattering q qbar → H^0(H_2^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1029. 
 

3) A^0(H_3^0) processes
 
 

flag   HiggsBSM:allA3   
 (default = off)

Common switch for the group of A^0(H_3^0) production processes. 
   
 

flag   HiggsBSM:ffbar2A3   
 (default = off)

Scattering f fbar → A^0(H_3^0), where f sums over 
available flavours except top. 
Code 1041. 
   
 

flag   HiggsBSM:gg2A3   
 (default = off)

Scattering g g → A^0(A_3^0) via loop contributions primarily 
from top. 
Code 1042. 
   
 

flag   HiggsBSM:gmgm2A3   
 (default = off)

Scattering gamma gamma → A^0(A_3^0) via loop contributions 
primarily from top and W. 
Code 1043. 
   
 

flag   HiggsBSM:ffbar2A3Z   
 (default = off)

Scattering f fbar → A^0(A_3^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1044. 
   
 

flag   HiggsBSM:ffbar2A3W   
 (default = off)

Scattering f fbar → A^0(A_3^0) W^+- via s-channel 
W^+- exchange. 
Code 1045. 
   
 

flag   HiggsBSM:ff2A3ff(t:ZZ)   
 (default = off)

Scattering f f' → A^0(A_3^0) f f' via Z^0 Z^0 fusion. 
Code 1046. 
   
 

flag   HiggsBSM:ff2A3ff(t:WW)   
 (default = off)

Scattering f_1 f_2 → A^0(A_3^0) f_3 f_4 via W^+ W^- 
fusion. Code 1047. 
   
 

flag   HiggsBSM:gg2A3ttbar   
 (default = off)

Scattering g g → A^0(A_3^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1048. 
   
 

flag   HiggsBSM:qqbar2A3ttbar   
 (default = off)

Scattering q qbar → A^0(A_3^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1049. 
 

4) H+- processes
 
 

flag   HiggsBSM:allH+-   
 (default = off)

Common switch for the group of H^+- production processes. 
   
 

flag   HiggsBSM:ffbar2H+-   
 (default = off)

Scattering f fbar' → H^+-, where f, fbar' sums over 
available incoming flavours. Since couplings are assumed 
generation-diagonal, in practice this means c sbar → H^+ 
and s cbar → H^-. 
Code 1061. 
   
 

flag   HiggsBSM:bg2H+-t   
 (default = off)

Scattering b g → H^+ tbar. At hadron colliders this is the 
dominant process for single-charged-Higgs production. 
Code 1062. 
   
 

5) Higgs-pair processes
 
 

flag   HiggsBSM:allHpair   
 (default = off)

Common switch for the group of Higgs pair-production processes. 
   
 

flag   HiggsBSM:ffbar2A3H1   
 (default = off)

Scattering f fbar → A^0(H_3) h^0(H_1). 
Code 1081. 
   
 

flag   HiggsBSM:ffbar2A3H2   
 (default = off)

Scattering f fbar → A^0(H_3) H^0(H_2). 
Code 1082. 
   
 

flag   HiggsBSM:ffbar2H+-H1   
 (default = off)

Scattering f fbar → H^+- h^0(H_1). 
Code 1083. 
   
 

flag   HiggsBSM:ffbar2H+-H2   
 (default = off)

Scattering f fbar → H^+- H^0(H_2). 
Code 1084. 
   
 

flag   HiggsBSM:ffbar2H+H-   
 (default = off)

Scattering f fbar → H+ H-. 
Code 1085. 
   
 

Beyond-the-Standard-Model Higgs, further processes
 
 
This section mimics the above section on "Standard-Model Higgs, 
further processes", i.e. it contains higher-order corrections 
to the processes already listed. The two sets therefore could not 
be used simultaneously without unphysical double-counting. 
They are not controlled by any group flag, but have to be switched 
on for each separate process after due consideration. We refer to 
the standard-model description for a set of further comments on 
the processes. 
 

1) h^0(H_1^0) processes
 
 

flag   HiggsBSM:qg2H1q   
 (default = off)

Scattering q g → h^0 q. This process gives first-order 
corrections to the f fbar → h^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → h^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → h^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1011. 
   
 

flag   HiggsBSM:gg2H1bbbar   
 (default = off)

Scattering g g → h^0 b bbar. This process is yet one order 
higher of the b bbar → h^0 and b g → h^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1012. 
   
 

flag   HiggsBSM:qqbar2H1bbbar   
 (default = off)

Scattering q qbar → h^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1013. 
   
  

flag   HiggsBSM:gg2H1g(l:t)   
 (default = off)

Scattering g g → h^0 g via loop contributions primarily 
from top. 
Code 1014. 
   
  

flag   HiggsBSM:qg2H1q(l:t)   
 (default = off)

Scattering q g → h^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1015. 
   
  

flag   HiggsBSM:qqbar2H1g(l:t)   
 (default = off)

Scattering q qbar → h^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → h^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1016. 
   
 

2) H^0(H_2^0) processes
 
 

flag   HiggsBSM:qg2H2q   
 (default = off)

Scattering q g → H^0 q. This process gives first-order 
corrections to the f fbar → H^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → H^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → H^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1031. 
   
 

flag   HiggsBSM:gg2H2bbbar   
 (default = off)

Scattering g g → H^0 b bbar. This process is yet one order 
higher of the b bbar → H^0 and b g → H^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1032. 
   
 

flag   HiggsBSM:qqbar2H2bbbar   
 (default = off)

Scattering q qbar → H^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1033. 
   
  

flag   HiggsBSM:gg2H2g(l:t)   
 (default = off)

Scattering g g → H^0 g via loop contributions primarily 
from top. 
Code 1034. 
   
  

flag   HiggsBSM:qg2H2q(l:t)   
 (default = off)

Scattering q g → H^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1035. 
   
  

flag   HiggsBSM:qqbar2H2g(l:t)   
 (default = off)

Scattering q qbar → H^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → H^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1036. 
   
 

3) A^0(H_3^0) processes
 
 

flag   HiggsBSM:qg2A3q   
 (default = off)

Scattering q g → A^0 q. This process gives first-order 
corrections to the f fbar → A^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → A^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → A^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1051. 
   
 

flag   HiggsBSM:gg2A3bbbar   
 (default = off)

Scattering g g → A^0 b bbar. This process is yet one order 
higher of the b bbar → A^0 and b g → A^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1052. 
   
 

flag   HiggsBSM:qqbar2A3bbbar   
 (default = off)

Scattering q qbar → A^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1053. 
   
  

flag   HiggsBSM:gg2A3g(l:t)   
 (default = off)

Scattering g g → A^0 g via loop contributions primarily 
from top. 
Code 1054. 
   
  

flag   HiggsBSM:qg2A3q(l:t)   
 (default = off)

Scattering q g → A^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1055. 
   
  

flag   HiggsBSM:qqbar2A3g(l:t)   
 (default = off)

Scattering q qbar → A^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → A^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1056. 
   
 

Parameters for Beyond-the-Standard-Model Higgs production and decay
 
 
This section offers a big flexibility to set couplings of the various 
Higgs states to fermions and gauge bosons, and also to each other. 
The intention is that, for scenarios like MSSM, you should use standard 
input from the SUSY Les Houches 
Accord, rather than having to set it all yourself. In other cases, 
however, the freedom is there for you to use. Kindly note that some 
of the internal calculations of partial widths from the parameters provided 
do not include mixing between the scalar and pseudoscalar states. 
 

 
Masses would be set in the ParticleData database, 
while couplings are set below. When possible, the couplings of the Higgs 
states are normalized to the corresponding coupling within the SM. 
When not, their values within the MSSM are indicated, from which 
it should be straightforward to understand what to use instead. 
The exception is some couplings that vanish also in the MSSM, where the 
normalization has been defined in close analogy with nonvanishing ones. 
Some parameter names are asymmetric but crossing can always be used, 
i.e. the coupling for A^0 → H^0 Z^0 obviously is also valid 
for H^0 → A^0 Z^0 and Z^0 → H^0 A^0. 
Note that couplings usually appear quadratically in matrix elements. 
 

parm   HiggsH1:coup2d   
 (default = 1.)

The h^0(H_1^0) coupling to down-type quarks. 
   
 

parm   HiggsH1:coup2u   
 (default = 1.)

The h^0(H_1^0) coupling to up-type quarks. 
   
 

parm   HiggsH1:coup2l   
 (default = 1.)

The h^0(H_1^0) coupling to (charged) leptons. 
   
 

parm   HiggsH1:coup2Z   
 (default = 1.)

The h^0(H_1^0) coupling to Z^0. 
   
 

parm   HiggsH1:coup2W   
 (default = 1.)

The h^0(H_1^0) coupling to W^+-. 
   
 

parm   HiggsH1:coup2Hchg   
 (default = 0.)

The h^0(H_1^0) coupling to H^+- (in loops). 
Is sin(beta - alpha) + cos(2 beta) sin(beta + alpha) / 
(2 cos^2theta_W) in the MSSM. 
   
 

parm   HiggsH2:coup2d   
 (default = 1.)

The H^0(H_2^0) coupling to down-type quarks. 
   
 

parm   HiggsH2:coup2u   
 (default = 1.)

The H^0(H_2^0) coupling to up-type quarks. 
   
 

parm   HiggsH2:coup2l   
 (default = 1.)

The H^0(H_2^0) coupling to (charged) leptons. 
   
 

parm   HiggsH2:coup2Z   
 (default = 1.)

The H^0(H_2^0) coupling to Z^0. 
   
 

parm   HiggsH2:coup2W   
 (default = 1.)

The H^0(H_2^0) coupling to W^+-. 
   
 

parm   HiggsH2:coup2Hchg   
 (default = 0.)

The H^0(H_2^0) coupling to H^+- (in loops). 
Is cos(beta - alpha) + cos(2 beta) cos(beta + alpha) / 
(2 cos^2theta_W) in the MSSM. 
   
 

parm   HiggsH2:coup2H1H1   
 (default = 1.)

The H^0(H_2^0) coupling to a h^0(H_1^0) pair. 
Is cos(2 alpha) cos(beta + alpha) - 2 sin(2 alpha) 
sin(beta + alpha) in the MSSM. 
   
 

parm   HiggsH2:coup2A3A3   
 (default = 1.)

The H^0(H_2^0) coupling to an A^0(H_3^0) pair. 
Is cos(2 beta) cos(beta + alpha) in the MSSM. 
   
 

parm   HiggsH2:coup2H1Z   
 (default = 0.)

The H^0(H_2^0) coupling to a h^0(H_1^0) Z^0 pair. 
Vanishes in the MSSM. 
   
 

parm   HiggsH2:coup2A3H1   
 (default = 0.)

The H^0(H_2^0) coupling to an A^0(H_3^0) h^0(H_1^0) pair. 
Vanishes in the MSSM. 
   
 

parm   HiggsH2:coup2HchgW   
 (default = 0.)

The H^0(H_2^0) coupling to a H^+- W-+ pair. 
Is sin(beta - alpha) in the MSSM. 
   
 

parm   HiggsA3:coup2d   
 (default = 1.)

The A^0(H_3^0) coupling to down-type quarks. 
   
 

parm   HiggsA3:coup2u   
 (default = 1.)

The A^0(H_3^0) coupling to up-type quarks. 
   
 

parm   HiggsA3:coup2l   
 (default = 1.)

The A^0(H_3^0) coupling to (charged) leptons. 
   
 

parm   HiggsA3:coup2H1Z   
 (default = 1.)

The A^0(H_3^0) coupling to a h^0(H_1^0) Z^0 pair. 
Is cos(beta - alpha) in the MSSM. 
   
 

parm   HiggsA3:coup2H2Z   
 (default = 1.)

The A^0(H_3^0) coupling to a H^0(H_2^0) Z^0 pair. 
Is sin(beta - alpha) in the MSSM. 
   
 

parm   HiggsA3:coup2Z   
 (default = 0.)

The A^0(H_3^0) coupling to Z^0. 
Vanishes in the MSSM. 
   
 

parm   HiggsA3:coup2W   
 (default = 0.)

The A^0(H_3^0) coupling to W^+-. 
Vanishes in the MSSM. 
   
 

parm   HiggsA3:coup2H1H1   
 (default = 0.)

The A^0(H_3^0) coupling to a h^0(H_1^0) pair. 
Vanishes in the MSSM. 
   
 

parm   HiggsA3:coup2Hchg   
 (default = 0.)

The A^0(H_3^0) coupling to H^+-. 
Vanishes in the MSSM. 
   
 

parm   HiggsA3:coup2HchgW   
 (default = 1.)

The A^0(H_3^0) coupling to a H^+- W-+ pair. 
Is 1 in the MSSM. 
   
 

parm   HiggsHchg:tanBeta   
 (default = 5.)

The tan(beta) value, which leads to an enhancement of the 
H^+- coupling to down-type fermions and suppression to 
up-type ones. The same angle also appears in many other places, 
but this particular parameter is only used for the charged-Higgs case. 
   
 

parm   HiggsHchg:coup2H1W   
 (default = 1.)

The H^+- coupling to a h^0(H_1^0) W^+- pair. 
Is cos(beta - alpha) in the MSSM. 
   
 

parm   HiggsHchg:coup2H2W   
 (default = 0.)

The H^+- coupling to a H^0(H_2^0) W^+- pair. 
Is sin(beta - alpha) in the MSSM. 
   
 

 
Another set of parameters are not used in the production stage but 
exclusively for the description of angular distributions in decays. 
 

mode   HiggsH1:parity   
 (default = 1; minimum = 0; maximum = 3)

possibility to modify angular decay correlations in the decay of a 
h^0(H_1) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 

option  0 : isotropic decays.   

option  1 : assuming the h^0(H_1) is a pure scalar 
(CP-even), as in the MSSM.   

option  2 : assuming the h^0(H_1) is a pure pseudoscalar 
(CP-odd).   

option  3 : assuming the h^0(H_1) is a mixture of the two, 
including the CP-violating interference term. The parameter 
eta, see below, sets the strength of the CP-odd admixture, 
with the interference term being proportional to eta 
and the CP-odd one to eta^2.   
   
 

parm   HiggsH1:etaParity   
 (default = 0.)

The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
   
 

mode   HiggsH2:parity   
 (default = 1; minimum = 0; maximum = 3)

possibility to modify angular decay correlations in the decay of a 
H^0(H_2) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 

option  0 : isotropic decays.   

option  1 : assuming the H^0(H_2) is a pure scalar 
(CP-even), as in the MSSM.   

option  2 : assuming the H^0(H_2) is a pure pseudoscalar 
(CP-odd).   

option  3 : assuming the H^0(H_2) is a mixture of the two, 
including the CP-violating interference term. The parameter 
eta, see below, sets the strength of the CP-odd admixture, 
with the interference term being proportional to eta 
and the CP-odd one to eta^2.   
   
 

parm   HiggsH2:etaParity   
 (default = 0.)

The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
   
 

mode   HiggsA3:parity   
 (default = 2; minimum = 0; maximum = 3)

possibility to modify angular decay correlations in the decay of a 
A^0(H_3) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 

option  0 : isotropic decays.   

option  1 : assuming the A^0(H_3) is a pure scalar 
(CP-even).   

option  2 : assuming the A^0(H_3) is a pure pseudoscalar 
(CP-odd), as in the MSSM.   

option  3 : assuming the A^0(H_3) is a mixture of the two, 
including the CP-violating interference term. The parameter 
eta, see below, sets the strength of the CP-odd admixture, 
with the interference term being proportional to eta 
and the CP-odd one to eta^2.   
   
 

parm   HiggsA3:etaParity   
 (default = 0.)

The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
   
 


 
 
 
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pythia8-8.1.86.orig/htmldoc/SUSYLesHouchesAccord.html0000644000175000017500000004243212357553536020604 0ustar  sunsun

SUSY Les Houches Accord




 

SUSY Les Houches Accord
 
 
The PYTHIA 8 program does not contain an internal spectrum calculator 
(a.k.a. RGE package) to provide supersymmetric couplings, mixing angles, 
masses and branching ratios. Thus the SUSY Les Houches Accord (SLHA) 
[Ska04][All08] is the only way of 
inputting SUSY models, and SUSY processes (see 
the SUSYProcesses page) 
cannot be run unless such an input has taken place. 
 

 
The SLHA input format can also be extended for use with more general BSM 
models, beyond SUSY. Information specific to  how to use the SLHA 
interface for generic BSM models is collected below, 
under Using SLHA for generic BSM Models, with 
more elaborate explanations and examples in [Des11]. 
 

 
Most of the SUSY implementation in PYTHIA 8 is compatible with both the 
SLHA1 [Ska04] and SLHA2 [All08] 
conventions (with some limitations for the NMSSM 
in the latter case). Internally, PYTHIA 8 uses the 
SLHA2 conventions and translates SLHA1 input to these when necessary. 
See the section on SUSY Processes and [Des11] for more 
information. Note that PYTHIA assumes that a spectrum is either fully SHLA1 
or fully SLHA2 compliant. Mixing of the two standards is discouraged, as 
this can lead to ambiguities and inconsistencies. 
 

 
When reading LHEF files, Pythia automatically looks for SLHA information 
between <slha>...</slha> tags in the header of such 
files. When running Pythia without LHEF input (or if reading an LHEF 
file that does not contain SLHA information in the header), a separate 
file containing SLHA information may be specified using 
SLHA:file (see below). 
 

 
Normally the LHEF would be in uncompressed format, and thus human-readable 
if opened in a text editor. A possibility to read gzipped files has 
been added, based on the Boost and zlib libraries, which therefore 
have to be linked appropriately in order for this option to work. 
See the README file in the main directory for details 
on how to do this. 
 

 
Finally, the SLHA input capability can of course also be used to input 
SLHA-formatted MASS and DECAY tables for 
other particles, such as the Higgs boson, furnishing a less 
sophisticated but more universal complement to the 
standard PYTHIA 8-specific methods for inputting such information (for the 
latter, see the section on Particle Data 
and the scheme to modify it). This 
may at times not be desirable, so a few options can be used to curb the right 
of SLHA to overwrite particle data. 
Conversely, it is sometimes useful to allow the user to modify 
eg a mass parameter relative to its value in the SLHA spectrum. 
This is normally not permitted (the SLHA spectrum is normally self-consistent 
and should not be modified), but an option for allowing it is provided. 
 

 
The reading-in of information from SLHA or LHEF files is handled by the 
SusyLesHouches class, while the subsequent calculation of 
derived quantities of direct application to SUSY processes is done in the 
CoupSUSY, SigmaSUSY, 
and SUSYResonanceWidths classes. 
 

Sanity Checks
 
 
As an aid for basic validation, some checks and ranges are imposed 
 on SLHA input during initialization, as follows: 

     

  • Several parameters (SLHA:keepSM, minMassSM, 
and SLHA:allowUserOverride) provide some safety against 
unintentionally overwriting PYTHIA's Standard-Model information. 
These parameters can be altered to hand over more or less control to the SLHA 
interface. In particular, 
a lot of mass and decay-table information may be included by default in some 
SLHA files, without it being the explicit intention of the user to overwrite 
the corresponding PYTHIA information. The default 
values of the SLHA safety parameters have been chosen so as to eliminate 
at least the most obvious causes of Garbage In Garbage Out. 
(E.g., there is usually no reason to modify the masses of well-measured SM 
particles, like the W and Z bosons, nor to replace their sophisticated 
internal decay treatments by the simplified isotropic treatment used for 
SLHA DECAY tables.) 

    •  

  • For SLHA SUSY spectra, the interface checks  the mass-ordering of the 
Higgs, Neutralino, and  Chargino sectors, and the unitarity/orthogonality 
of the mixing matrices. It also performs some additional self-consistency 
checks on whether the correct SLHA BLOCKs for the given SUSY model have been 
included, and whether all required entries have been defined. 

    •  

  • If MASS or DECAY information for a particle has been changed by SLHA 
input, the following sanity checks will be carried out. The particle will 
be declared stable unless there is at least one on-shell decay channel open 
(regardless of the presence of any DECAY information). In particular, 
massless particles will always be declared stable. A lower cutoff is imposed 
on the Breit-Wigner shape of the particle, requiring its mass to remain above 
the sum of masses for the lightest decay channel. Subject to that constraint, 
the lower cutoff will normally be placed at 5 times the width (so that the 
default gives a decent sampling of the shape), but the user is allowed to 
use the mMin parameter to choose a larger sampling range if so 
desired (still subject to the on-shell constraint). 

    •  

  • For each decay channel in an SLHA DECAY table, PYTHIA will checks the 
available phase space. If the channel is on shell (sum of daughter masses is 
less than mass of decaying particle), then the threshold dependence is given 
by SLHA:meMode. If the channel is off shell, then an 
meMode of 100 is always used. As a further protection against 
GIGO, if the channel appears to be physically impossible (defined as requiring 
fluctuations of more than more than 100 times the effective combined widths), 
it is switched of and a warning message is printed. 

    •  

  • DECAY table branching fractions are always interpreted as positive. 
However, a negative sign for one or more channels can be given, and will 
then be interpreted to mean that the corresponding channel(s) should be 
switched off for the current run. This furnishes a simple way to switch 
SLHA DECAY channels on and off while preserving the sum of branching 
fractions equal to unity. 

    •  

 
Note that these sanity checks will not catch all possible cases of 
Garbage In Garbage Out, so human verification of the input files is always a 
good idea, as is taking a look at any warnings or error messages printed by 
the SLHA interface during initialization. It is ultimately up to the user to 
ensure that sensible input is being given. 
 

SLHA Switches and Parameters
 
 

mode   SLHA:readFrom   
 (default = 1; minimum = 0; maximum = 2)

Controls from where SLHA information is read. 

option  0 : is not read at all. Useful when SUSY is not simulated 
and normal particle properties should not be overwritten.   

option  1 : read in from the <slha>...</slha> 
block of a LHEF, if such a file is read during initialization, and else 
from the SLHA:file below.   

option  2 : read in from the SLHA:file below.   
   
 

word   SLHA:file   
 (default = void)

Name of an SLHA (or LHEF) file containing the SUSY/BSM model definition, 
spectra, and (optionally) decay tables. Default void 
signals that no such file has been assigned. 
   
 

flag   SLHA:keepSM   
 (default = on)

Some programs write SLHA output also for SM particles where normally 
one would not want to have masses and decay modes changed unwittingly. 
Therefore, by default, known SM particles are ignored in SLHA files. 
To be more specific, particle data for identity codes in the ranges 
1 - 24 and 81 - 999,999 are ignored. Notably this includes Z^0, 
W^+- and t. The SM Higgs is modified by the SLHA input, 
as is other codes in the range 25 - 80 and 1,000,000 - . If you 
switch off this flag then also SM particles are modified by SLHA input. 
   
 

parm   SLHA:minMassSM   
 (default = 100.0)

This parameter provides an alternative possibility to ignore SLHA input 
for all particles with identity codes below 1,000,000 (which mainly 
means SM particle, but also includes e.g. the Higgs bosons in 
two-Higgs-doublet scenarios) whose default masses in PYTHIA lie below 
some threshold value, given by this parameter. The default value of 
100.0 allows SLHA input to modify the top quark, but not, e.g., the 
Z^0 and W^+- bosons. 
   
 

flag   SLHA:allowUserOverride   
 (default = off)

Flag to set whether the user is allowed to modify the parameters read 
from an SLHA spectrum. Is normally kept off to preserve the 
internal self-consistency of SLHA spectra. If this flag is switched 
on, the mass values read from the SLHA block MASS are 
allowed to be modified by the user, using PYTHIA's standard 
readString and related methods. 
   
 

SLHA DECAY Tables
 
 
In addition to SUSY spectra, the SLHA also defines a set of conventions for 
decay tables. These are not restricted to SUSY models, but can be used for 
arbitrary particles, either in combination with or independently of 
the SUSY parts of the Accord. The settings in this section control whether and 
how PYTHIA will make use of such tables. See also the comments under 
sanity checks above. 

Note: the PYTHIA SLHA interface is limited to at most 
1→8 decays. 
 

flag   SLHA:useDecayTable   
 (default = on)

Switch to choose whether to read in SLHA DECAY tables or not. 
If this switch is set to off, PYTHIA will ignore any decay tables found 
in the SLHA file, and all decay widths will be calculated internally by 
PYTHIA. If switched on, SLHA decay tables will be read in, and will 
then supersede PYTHIA's internal calculations, with PYTHIA only 
computing the decays for particles for which no SLHA decay table is 
found. (To set a particle stable, you may either omit an SLHA 
DECAY table for it and then 
use PYTHIA's internal id:MayDecay switch for that 
particle, or you may include an SLHA DECAY table for it, 
with the width set explicitly to zero.) 
   
 

mode   SLHA:meMode   
 (default = 100; minimum = 100; maximum = 103)

This value specifies how threshold, off-shell, and phase-space 
weighting effects for SLHA decay channels should be treated, using the same 
numbering scheme as for resonances. 
The default (100) is to use the branching fraction given in the SLHA 
DECAY tables without any modifications. The 
corresponding partial widths remain unchanged 
when the resonance fluctuates in mass. Specifically there are no 
threshold corrections. That is, if the resonance fluctuates down in 
mass, to below the nominal threshold for some decay mode, 
it is assumed that one of the 
daughters could also fluctuate down to keep the channel open. (If not, 
there may be problems later on.) 
Alternative options (with values 101+) documented under 
resonances allow for some flexibility to 
apply threshold factors expressing the closing of the on-shell phase space 
when the daughter masses approach or exceed the parent one. 
Note that modes that are extremely far off shell 
(defined as needing a fluctuation of more than 100 times the 
root-sum-square of the widths of the mother and daughter particles) 
will always be assigned meMode = 100 and should be 
switched off by hand if so desired. 
It is up 
to the user to ensure that the final behaviour is consistent with what 
is desired (and/or to apply suitable post facto reweightings). 
Plotting the generator-level resonance and decay-product mass 
distributions (and e.g., mass differences), effective branching 
fractions, etc, may be of assistance to validate the behaviour of the 
program. 
   
 

Internal SLHA Variables
 
 

mode   SLHA:verbose   
 (default = 1; minimum = 0; maximum = 3)

Controls amount of text output written by the SLHA interface, with a 
value of 0 corresponding to the most quiet mode. 
   
 
The following variables are used internally by PYTHIA as local copies 
of SLHA information. User changes will generally have no effect, since 
these variables will be reset by the SLHA reader during initialization. 
 

flag   SLHA:NMSSM   
 (default = off)

Corresponds to SLHA block MODSEL entry 3. 
   
 
 

Using SLHA for generic BSM Models
 
 

 
Using the QNUMBERS extension [Alw07], the SLHA 
can also be used to define new particles, with arbitrary quantum 
numbers. This already serves as a useful way to introduce new 
particles and can be combined with MASS and 
DECAY tables in the usual 
way, to generate isotropically distributed decays or even chains of 
such decays. (If you want something better than isotropic, sorry, you'll 
have to do some actual work ...) 

 
 

 
A more advanced further option is to make use of the possibility 
in the SLHA to include user-defined blocks with arbitrary 
names and contents. Obviously, standalone 
PYTHIA 8 does not know what to do with such information. However, it 
does not throw it away either, but instead stores the contents of user 
blocks as strings, which can be read back later, with the user 
having full control over the format used to read the individual entries. 

 
 

 
The contents of both standard and user-defined SLHA blocks can be accessed 
in any class inheriting from PYTHIA 8's SigmaProcess 
class (i.e., in particular, from any semi-internal process written by 
a user), through its SLHA pointer, slhaPtr, by using the 
following methods: 

 
bool slhaPtr->getEntry(string blockName, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, int jndx, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, int jndx, int kndx, double& val); 

 

 
 

 
This particular example assumes that the user wants to read the 
entries (without index, indexed, matrix-indexed, or 3-tensor-indexed, 
respectively) in the user-defined block blockName, 
and that it should be interpreted as 
a double. The last argument is templated, and hence if 
anything other than a double is desired to be read, the 
user has only to give the last argument a different type. 
If anything went wrong (i.e., the block doesn't 
exist, or it doesn't have an entry with that index, or that entry 
can't be read as a double), the method returns false; true 
otherwise. This effectively allows to input completely arbitrary 
parameters using the SLHA machinery, with the user having full control 
over names and conventions. Of course, it is then the user's 
responsibility to ensure complete consistency between the names and 
conventions used in the SLHA input, and those assumed in any 
user-written semi-internal process code. 

 
 

 
Note that PYTHIA 8 always initializes at least 
the SLHA blocks MASS and SMINPUTS, starting from its internal 
SM parameters and particle data table values (updated to take into 
account user modifications). These blocks can therefore be accessed 
using the slhaPtr->getEntry() methods even in the absence 
of SLHA input. 
Note: in the SMINPUTS block, PYTHIA outputs physically correct 
(i.e., measured) values of GF, m_Z, and 
alpha_EM(m_Z). However, if one attempts to compute, e.g., 
the W mass, at one loop from these quantities, a value of 79 GeV results, 
with a corresponding value for the weak mixing angle. We advise to 
instead take the physically measured W mass from block MASS, and 
recompute the EW parameters as best suited for the application at hand. 

 
 


 
 
 
 
pythia8-8.1.86.orig/htmldoc/NLOMerging.html0000644000175000017500000012574712357553536016656 0ustar  sunsun 


NLO Merging




 

NLO Merging
 
 
Pythia offers two NLO merging approaches. Both of these methods have been 
presented in [Lon13]. The goal of NLO merging is to extend tree-level 
multi-jet merging methods to next-to-leading order accuracy in QCD, for every 
available jet multiplicity. If for example NLO calculations for Higgs + 0 jet, 
Higgs + 1 jet and Higgs + 2 jets were available, NLO merging allows to 
simultaneously describe 0-, 1- and 2-jet observables with NLO accuracy. 
Further jets can, depending on additional tree-level input, be described by 
additional tree-level matrix elements. In the example, it would be possible to 
achieve NLO accuracy for 0-, 1- and 2-jet observables, tree-level accuracy 
for 3-, 4- and 5-jet configurations, and use the parton shower approximation 
for events with more than five jets. 
 

 The two NLO merging methods implemented in Pythia are called 
NL3 (for Nils Lavesson + Leif Lönnblad) and UNLOPS 
(for unitarised 
NLO+PS merging). Both of these schemes require Les Houches Event File input 
that is generated by tree-level or NLO matrix element generators. Currently, 
Pythia requires NLO input generated within the POWHEG framework. The 
generation of sensible input will be discussed below. The two NLO merging 
methods are illustrated in the sample main programs main87.cc 
(introducing NL3 ) and main88.cc (introducing UNLOPS). 
Before describing these programs, we would like to outline the differences 
between the two approaches. 
 

 NL3 is a generalisation of CKKW-L 
tree-level merging. The main 
idea of NL3 is to start from CKKW-L-reweighted multi-jet 
merging, and replace the 
αsn+0- and 
αsn+1-terms by the NLO result of POWHEG. 
This "replacement" means that we subtract the 
αsn+0- and 
αsn+1-terms from the CKKW-L-reweighted 
tree-level samples, and add another sample -- the POWHEG input. 
All "higher orders" are unchanged w.r.t. CKKW-L. 
We have implemented the 
"inclusive" scheme of [Lon13] in Pythia. This means that the POWHEG 
input will contain contributions for hard, resolved real emission jets, which 
are already taken care of by higher-multiplicity samples in CKKW-L. Thus, 
explicit phase space subtractions are also included. The sample program 
main87.cc, together with the input file main87.cmnd, 
illustrates the procedure. 
 

 UNLOPS is a generalisation of the 
UMEPS multi-jet merging scheme. 
Since UMEPS is already slightly more complicated than 
CKKW-L, this makes UNLOPS more complicated than NL3. The basic idea 
however remains the same: Start from a tree-level merging scheme (in this case 
UMEPS), remove all undesirable αsn+0- and 
αsn+1-terms from this result, and add 
back the "correct" description via POWHEG input samples. Again, since the 
"inclusive" scheme of [Lon13] was implemented in Pythia, it is 
necessary to handle explicit phase space subtractions. Similar to 
UMEPS, UNLOPS further ensures that the lowest-multiplicity cross section 
is given by the NLO result. This means that the UMEPS philosophy of "subtract 
what you add" needs to be extended to multi-leg NLO inputs. 
 

 UNLOPS is a theoretically more appealing definition of NLO merging than 
NL3, and should thus be considered the preferred choice. However, 
we believe it valuable to include both methods into Pythia, so that the 
variation of NLO merged results due to different NLO merging schemes can be 
studied in situ. Furthermore, NLO merging can be outlined more pedagogically 
when starting from NL3. The two NLO merging methods share parts of 
code with CKKW-L and UMEPS, and correspondingly share many input settings 
with these schemes. In particular, 

 
          The hard process 
(Merging:Process) needs to be defined 
exactly as in CKKW-L (see Defining the hard process in the 
CKKW-L documentation). 

 
          The merging scale value 
(Merging:TMS) has to be set. 

 
          The maximal number of additional partons in 
tree-level events (Merging:nJetMax) has to be set. 
 

 All settings listed under the sections "Matrix element 
merging and HepMC output for RIVET" and "Further 
variables" in  the CKKW-L 
documentation can be accessed in NLO merging as well. Furthermore, 
the Merging:nRecluster switch (see the 
UMEPS documentation) is important. 
 
Also, all MergingHooks routines that allow for user 
interference in CKKW-L merging are also usable for NLO merging -- with the 
exception of a user-defined merging scale. The NLO merging schemes currently 
implemented in Pythia do not allow for a merging scale definition that 
differs from the parton shower evolution variable. Since this merging scale 
definition is not completely obvious, the NLO merging schemes also share the 
Merging:enforceCutOnLHE switch with CKKW-L. In this way, it 
is possible to use LHE files that are regularised only with weak cuts as 
input, while the merging machinery imposes the stronger merging scale cut 
automatically. This means that no merging scale implementation is required 
from the user side, but also means that it is the user's responsibility to 
ensure that the cuts used for generating input LHE files are always looser 
than the cut given by the merging scale value Merging:TMS. This 
will lead to warnings of the form "Les Houches Event fails merging scale 
cut. Cut by rejecting event". These warning should rather be regarded 
as information. An example of inclusive matrix element generation cuts would 
be pTjet = 5 GeV, ΔRjetA jetB = 
0.01 and QjetA jetB = 5 GeV, if NLO merging with a 
desired merging scale value of Merging:TMS = 15 is attempted for 
Higgs + jets events at the LHC. 
 

 In the following, we will first describe the generation of NLO input 
samples, and list input settings for NLO merging in Pythia. Then, we will 
examine the sample main programs main87.cc and 
main88.cc, which implement NL3 and UNLOPS merging, 
respectively. 
 


 

Inputs for NLO merging
 
 
The NLO merging schemes in Pythia currently require Les Houches Event File 
input. To perform a merging with up to M additional partons described 
by tree-level matrix elements, and with up to N ≤ M-1 additional 
partons at NLO accuracy, the user needs to supply 

 
          LHE files for 0... M additional 
partons, taken from a tree-level matrix element generator, and 

 
          LHE files for 0... N additional 
partons, taken from a POWHEG NLO generator. 

 All input files need to be regularised, if they contain additional 
partons. Large files with fairly inclusive (i.e. loose) cuts are recommended. 
The input LHE files should further be generated with fixed renormalisation 
and factorisation scales. (In the POWHEG-BOX program, this means using the 
settings runningscales 0, btlscalereal 1, btlscalect 1, 
ckkwscalup 0. Some older processes in the POWHEG-BOX program need the 
input runningscale 0 instead of runningscales 0.) 
 

 When attempting NLO merging, the following Pythia settings are relevant. 
 

mode   Merging:nJetMaxNLO   
 (default = 0; minimum = 0)

The maximal number of additional jets for which NLO event samples are 
supplied by the user. 
   
 

parm   Merging:muFac   
 (default = -1.0)

The fixed factorisation scale used in the hard process cross section, 
as needed to 
generate the leading-order weight, in case the factorisation scale cannot 
be inferred from Les Houches event input. (This is the case for files that 
have been generated with the POWHEG-BOX program, since this program prints 
the transverse momentum scale of the real emission into the LH events.). 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
If wimpy showers (see Timelike Showers and 
Spacelike Showers) are used together 
with multi-jet merging, then this scale further sets the 
parton shower starting scale (μQ) for the core hard 
process. 
   
 

parm   Merging:muRen   
 (default = -1.0)

The fixed renormalisation scale used in the hard process cross section, 
as needed to 
generate the leading-order weight, in case the renormalisation scale cannot 
be inferred from Les Houches event input. (As mentioned above, this is the 
case for files generated with the POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
   
 

parm   Merging:muFacInME   
 (default = -1.0)

The fixed factorisation scale used in the matrix element calculation. This 
information is needed if factorisation scale variations in NLO merged results 
are attempted. Depending on the matrix element generator, it might not be 
possible to infer the factorisation scale from Les Houches event input, and 
thus, setting an explicit value is required. (As mentioned above, this is the 
case for files generated with the POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
   
 

parm   Merging:muRenInME   
 (default = -1.0)

The fixed renormalisation scale used in the matrix element calculation. This 
information is needed if renormalisation scale variations in NLO merged 
results are attempted, for the same reason as factorisation scales might be 
required. (As mentioned above, this is the case for files generated with the 
POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
   
 

 All further settings will be discussed while examining the sample main 
programs. 
 


 

NL3 merging with main87.cc
 
 
NL3-style NLO merging in Pythia is illustrated by the sample 
main program main87.cc. This program works together with an input 
file (e.g. main87.cmnd) for Pythia settings, and requires LHE 
input files that follow the naming convention 
name_tree_#nAdditionalJets.lhe (tree-level samples) and 
name_powheg_#nAdditionalJets.lhe (POWHEG NLO samples). 
main87.cc produces HepMC event output [Dob01], which can 
be used for analysis (e.g. using RIVET [Buc10]), or as input for 
detector simulations. For users not familiar with HepMC output, it is of 
course possible remove the HepMC code in the sample program, and use Pythia's 
histogramming routines instead. Histograms should then be filled as indicated 
for the histPTFirstSum histograms in main84.cc, i.e. 
using weightNLO*normhepmc. 
 

 If the user only wants to change the number of requested events 
(Main:numberOfEvents), the hard process 
(Merging:Process), the merging scale value 
(Merging:TMS) and the maximal number of additional tree-level or 
NLO-accuracte jets (Merging:nJetMax and 
Merging:nJetMaxNLO, respectively), and HepMC output is desired, 
then there is no need to change the main87.cc code. The input 
LHE files are also part of the (command line) input for 
main87.exe. The default settings in main87.cmnd 
are intended to work with the (very short) sample LHEF inputs 
(w_production_tree_0.lhe, w_production_tree_1.lhe, 
w_production_tree_2.lhe and w_production_powheg_0.lhe, 
w_production_powheg_1.lhe). For these input files, the 
main87.exe executable can be run with the command 

 
./main87.exe main87.cmnd w_production myhepmc.hepmc 

 to produce a file myhepmc.hepmc of NLO merged HepMC event output. All 
mandatory Pythia input settngs have been outlined earlier. Please refrain from 
adding input switches than invoke any other merging scheme (e.g. e.g. 
Merging:doKTMerging) into the input file that you want to use in 
conjunction with main87.cc. 
 

 In the following, we will explain main87.cc in depth. Users 
who are willing to accept the default choices do not need to know all details, 
but are still encouraged to read further. 
 

Program flow
 
 
main87.cc can be divided into four steps: 

          1. Estimate the cross section for 
tree-level and NLO samples after the merging scale cut. 

          2. Produce reweighted tree-level 
     events, which do not contain αs0- 
     and αs1-terms. 

          3. Add POWHEG NLO events. 

          4. Subtract phase space points with an 
     extra (real-emission) jet above the merging scale from the POWHEG result, 
     since such configurations have already been taken into account by 
     processing other samples. 
 

 The first step is necessary to produce the correct weights for HepMC 
output events. The estimation of tree-level cross sections after the merging 
scale cut is generated by invoking the switch 
Merging:doXSectionEstimate together with 
Merging:doNL3Tree. In this configuration, the latter switch will 
only act to define the merging scale.  After the tree-level cross sections 
have been estimated, main87.cc estimates the NLO cross sections 
after application of the merging scale cut, by inferring 
Merging:doXSectionEstimate together with 
Merging:doNL3Loop. Again, in this configuration, the latter 
switch only acts as the merging scale definition. When generating the 
estimates, all showering, multiparton interactions and hadronisation is 
turned off to not unnecessarily waste processor time. 
For all estimates, is further mandatory to set the value of 
Merging:nRequested to the jet multiplicity of the current event 
sample (e.g. to "2" for a sample containing W + 2 jet events). This is 
necessary in order to correctly apply the merging scale cut. POWHEG 
NLO input files for W + 1 jet e.g. contain W + 1 jet and W + 2 jet (i.e. real 
emission) kinematics. However, the merging scale cut aims at 
regularising the "underlying Born" configuration (i.e. the W + 1 states in our 
example). Setting Merging:nRequested = 1 for the  W + 1 jet 
POWHEG sample ensures that even for real-emission (W + 2 jet) kinematics, the 
merging scale cut is applied to W + 1 jet states. 
 

 After the cross section estimation step, main87.cc proceeds 
to perform the actual merging. Before explaining this part, we would like to 
make some comments about K-factors. 
 

 main87.cc is prepared to use 
fixed K-factors to rescale the weight of tree-level events. This rescaling 
does not affect the NLO accuracy of the method, and was investigated in 
[Lon13]. By default, main87.cc does not use K-factors. 
However, if the user wants to include K-factors, this can be done by using 
the following input settings. 
 

parm   Merging:kFactor0j   
 (default = 1.0)

The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
zero-jet tree-level events. 
   
 

parm   Merging:kFactor1j   
 (default = 1.0)

The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
one-jet tree-level events. 
   
 

parm   Merging:kFactor2j   
 (default = 1.0)

The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
two-jet tree-level events. 
   
 

 If the variables k0, k1, k2 in main87.cc are set 
to non-unity values, K-factors will be applied. The K-factor 
of highest jet multiplicity will then be used 
to also rescale tree-level samples with a number of additional jets 
beyond the number of the highest-multiplicity real-emission sample. If we, for 
example, attempt an NLO merging of W+0 jet and W+1 jet 
at NLO accuracy, and with W+≤4 jets at tree-level accuracy, then 
Merging:kFactor2j is used to rescale the W+2 jet, 
W+3 jets and W+4 jets tree-level samples. We recommend to 
not include a K-factor rescaling of the tree-level samples. 
 
 

 Let us turn to the production of NLO merged events. The first step in 
the procedure is to generate reweighted tree-level samples. This is 
implemented by using the following switch. 
 

flag   Merging:doNL3Tree   
 (default = off)

This switch will allow the generation of the weight that should be applied to 
tree-level events in the NL3 merging scheme. Please note that, in 
order for this to work smoothly, the switch Merging:doNL3Loop and 
the switch Merging:doNL3Subt have to be turned off. As for the 
estimation of cross sections, it is mandatory to set 
the correct value of Merging:nRequested. 
   
 

 
The weight of tree-level events can be accessed by calling the function 
double Info::mergingWeightNLO(). When printing 
(or histogramming) NLO merged events, this weight, multiplied with the 
estimated cross section of the current event sample, should be used as event 
weight (or weight of histogram bins). For Merging:doNL3Tree = on, 
the weight double Info::mergingWeightNLO() contains the 
CKKW-L weight, subtracted, if necessary, by 
αs0- and 
αs1-terms. This weight can become 
negative. As an example, imagine we attempt an NLO merging of W + 0 jet and 
W + 1 jet at NLO accuracy, and with  W + 2 jets at tree-level accuracy. 
This weight will then be 

   Info::mergingWeightNLO() = CKKW-L-weight for zero jets 
 - αs0-terms 
 - αs1-terms 
 for events in the zero-jet sample, 

   Info::mergingWeightNLO() = CKKW-L-weight for one jet 
 - αs0-terms 
 - αs1-terms 
 for events in the one-jet sample, and 

   Info::mergingWeightNLO() = CKKW-L-weight for two jets  
for events in the two-jet sample. 
 

 After the tree-level events have been reweighted, main87.cc 
will move on to process the POWHEG NLO input. This is done by switching to the 
following flag. 
 

flag   Merging:doNL3Loop   
 (default = off)

This switch will allow the processing of POWHEG NLO events in the 
NL3 merging scheme. Please note that, in order for this to work 
smoothly, the switch Merging:doNL3Tree and the switch 
Merging:doNL3Subt have to be turned off. As for the estimation 
of cross sections, it is mandatory to set the correct value of 
Merging:nRequested. 
   
 

 
Also in this case, the NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doNL3Loop = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 
After the processing of POWHEG NLO events, main87.cc continues 
by generating explicit phase space subtractions. This is facilitated by the 
following switch. 
 

flag   Merging:doNL3Subt   
 (default = off)

This switch will allow the processing of tree-level events, to produce 
explicit phase space subtractions in the NL3 merging scheme. 
Please note that, in order for this to work smoothly, the switch 
Merging:doNL3Tree and the switch 
Merging:doNL3Loop have to be turned off. As for the estimation 
of cross sections, it is mandatory to set the correct value of 
Merging:nRequested. Furthermore, it is necessary to set the 
value of Merging:nRecluster to one. 
   
 

 These contributions are necessary because we have implemented 
the "inclusive 
scheme" of [Lon13] in Pythia. The benefit of this scheme is the user 
does not have to intrusively change the POWHEG-BOX program to implement very 
particular cuts. Let us explain this comment with an example (a more detailed 
explanation of the idea is given in Appendix A.2 of [Lon13]). When 
generating W + 0 jet events with the POWHEG-BOX program, the output LHE files 
will contain W  + 1 jet real emission events. Some of these events will 
contain a jet above the merging scale. However, in NLO merging methods, such 
configurations have already been included by a separate W + 1 jet sample. 
Thus, to avoid counting such events twice, we have to remove the 
configurations from the POWHEG-BOX output. We choose to remove such events 
by explicit subtraction. 
 

 
As always, the NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doNL3Subt = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 

 After these steps, all necessary events for NL3 merging have 
been produced. main87.cc finishes by returning the 
NL3-merged total cross section. 
 
 


 

UNLOPS merging with main88.cc
 
 
UNLOPS-style NLO merging in Pythia is illustrated by the sample 
main program main88.cc, which relies on an input file (e.g. 
main88.cmnd) for Pythia settings. As for all merging methods in 
Pythia, main88.cc requires LHE input files. To use 
main88.cc without any changes, these input files should follow 
the naming convention name_tree_#nAdditionalJets.lhe (for tree-level 
samples) and name_powheg_#nAdditionalJets.lhe (for POWHEG NLO 
samples). main88.cc produces HepMC event output, which can e.g. 
be analysed with RIVET, or used as input for detector simulations. 
For users not familiar with HepMC output, it is of course possible remove 
the HepMC code in the sample program, and use Pythia's histogramming routines 
instead. Histograms should then be filled as indicated for the 
histPTFirstSum histograms in main84.cc, i.e. using 
weightNLO*normhepmc. 
 

 As for NL3, it is not necessary to change 
main88.cc if the user is only interested in changing standard 
settings. Thus, if the user only wants to change the number of requested 
events (Main:numberOfEvents), the hard process 
(Merging:Process), the merging scale value 
(Merging:TMS) and the maximal number of additional tree-level or 
NLO-accuracte jets (Merging:nJetMax and 
Merging:nJetMaxNLO, respectively), and HepMC output is desired, 
then there is no need to change the main88.cc code. The input 
LHE files are also part of the (command line) input for 
main88.exe. The default settings in main88.cmnd 
are intended to work with the (very short) sample LHEF inputs 
(w_production_tree_0.lhe, w_production_tree_1.lhe, 
w_production_tree_2.lhe and w_production_powheg_0.lhe, 
w_production_powheg_1.lhe). For these input files, the 
main88.exe executable can be run with the command 

 
./main88.exe main88.cmnd w_production myhepmc.hepmc 

 to produce a file myhepmc.hepmc of UNLOPS merged HepMC event output. 
Please refrain from adding input switches than invoke any other merging 
scheme (e.g. Merging:doKTMerging) into the input file that you 
want to use in conjunction with main88.cc. 
 

 In the following, we will explain main88.cc in depth. To 
not be overly repetitive, we will at times refer to the relevant parts in the 
discussion of main87.cc. Users who are willing to accept the 
default choices do not need to know all details, but are still encouraged to 
read further. 
 

Program flow
 
 
main88.cc can be divided into five steps: 

          1. Estimate the cross section for 
tree-level and NLO samples after the merging scale cut. 

          2. Produce reweighted tree-level 
     events, which do not contain αs0- 
     and αs1-terms. 

          3. Add POWHEG NLO events. 

          4. Subtract integrated, reweighted 
     tree-level events, to ensure that the inclusive NLO cross section remains 
     intact upon inclusion of multi-jet tree-level events. 

          5. Subtract integrated POWHEG NLO 
     events, to ensure that the inclusive NLO cross section remains 
     intact upon inclusion of multi-jet tree-level events. 
 

 The estimation of cross sections after the application of the merging 
scale cut is nearly identical to the first step in main87.cc, and 
we refer to the first paragraph of the "Program flow" discussion for 
main87.cc for details. For main88.cc, the flags 
Merging:doUNLOPSTree or Merging:doUNLOPSLoop supply 
the merging scale definition used in the cross section estimation. 
 

 After the cross section estimation step, main88.cc proceeds 
to perform the actual NLO merging. The discussion of K-factors given in the 
NL3 section (i.e. of Merging:kFactor0j, 
Merging:kFactor1j and Merging:kFactor2j) also 
applies to main88.cc. Although UNLOPS is considerably more stable 
than NL3 upon changing the K-factors, we do not recommend the 
use of K-factors. 
 

 The production of UNLOPS-merged events with main88.cc starts 
by generating reweighted tree-level events. The processing of tree-level 
events can be invoked by setting the following flag. 
 

flag   Merging:doUNLOPSTree   
 (default = off)

This switch will allow the generation of the weight that should be applied to 
tree-level events in the UNLOPS merging scheme. Please note that, in 
order for this to work smoothly, the switches 
Merging:doUNLOPSLoop, Merging:doUNLOPSSubt and 
Merging:doUNLOPSSubtNLO have to be turned off. As for the 
estimation of cross sections, it is mandatory to set 
the correct value of Merging:nRequested. 
   
 

 
The weight of tree-level events is returned by the function 
double Info::mergingWeightNLO(). When printing 
(or histogramming) NLO merged events, this weight, multiplied with the 
estimated cross section of the current event sample, should be used as event 
weight (or weight of histogram bins). For 
Merging:doUNLOPSTree = on, 
the weight double Info::mergingWeightNLO() contains the 
UMEPS weight, subtracted, if necessary, by 
αs0- and 
αs1-terms. This weight can become 
negative. As an example, assume that we attempt an UNLOPS merging of W + 0 jet 
and W + 1 jet at NLO accuracy, and with  W + 2 jets at tree-level accuracy. 
This weight will then be 

   Info::mergingWeightNLO() = UMEPS-weight for one jet 
 - αs0-terms 
 - αs1-terms 
 for events in the one-jet sample, and 

   Info::mergingWeightNLO() = UMEPS-weight for two jets  
for events in the two-jet sample. 
 

 After reweighted tree-level events have been generated, 
main88.cc processes the POWHEG NLO input files. This is 
facilitated by the following switch. 
 

flag   Merging:doUNLOPSLoop   
 (default = off)

This switch will allow the processing of POWHEG NLO events in the 
UNLOPS merging scheme. Please note that, in order for this to work 
smoothly, the switches Merging:doUNLOPSTree, 
Merging:doUNLOPSSubt and Merging:doUNLOPSSubtNLO 
have to be turned off. As for the estimation of cross sections, it is 
mandatory to set the correct value of 
Merging:nRequested. 
   
 

 
The NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doUNLOPSLoop = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 

 
After processing the POWHEG NLO events, main88.cc continues 
by generating the reweighted subtraction terms of UMEPS. This part is 
implemented by setting the following flag. 
 

flag   Merging:doUNLOPSSubt   
 (default = off)

This switch will allow the processing of tree-level events, to produce UMEPS 
subtraction terms for the UNLOPS merging scheme. Please note 
that, in order for this to work smoothly, the switches 
Merging:doUNLOPSTree, Merging:doUNLOPSLoop and 
Merging:doUNLOPSSubtNLO have to be turned off. 
As for the estimation of cross sections, it is mandatory to set the 
correct value of Merging:nRequested. Furthermore, it is necessary 
to set the value of Merging:nRecluster to one. 
   
 

By using this switch, main88.cc ensures that the inclusive 
cross section is preserved. At variance with UMEPS however, the event weight 
contains the UMEPS weight, subtracted, if necessary, by 
αs+0- and 
αs1-terms. Otherwise, 
αsn+0- and 
αsn+1-terms of the UMEPS procedure would 
be introduced, although our goal is to describe all 
αsn+0- and 
αsn+1-terms by n-jet POWHEG input. 
The weight of these integrated, subtractive tree-level events is, as always, 
returned by the function double Info::mergingWeightNLO(). 
When printing (or histogramming) NLO merged events, this weight, multiplied 
with the estimated cross section of the current event sample, and with  
-1, should be used 
as event weight (or weight of histogram bins). As for the case of tree-level 
events in UNLOPS, this weight can become negative. 
For the example given before, i.e. attempting an UNLOPS merging of 
W + 0 jet and  W + 1 jet at NLO accuracy, and with 
W + 2 jets at tree-level accuracy, this weight will be 

   Info::mergingWeightNLO() = UMEPS-weight for the integrated 
 one-jet sample - αs0-terms 
 - αs1-terms 
 for events in the integrated one-jet sample, and 

   Info::mergingWeightNLO() = UMEPS-weight for the integrated 
 two-jet sample 
for events in the integrated two-jet sample. 
 

This choice of weights already 
incorporates the fact that we have implemented the "inclusive scheme" of 
[Lon13], meaning that the "explicit phase space subtractions" of 
NL3 are (partially) included though these weights. 
 

 To ensure that the NLO inclusive cross section is unchanged, UNLOPS 
further requires the introduction of another sample. If POWHEG NLO events with 
one or more jets are included, it is necessary to subtract these samples 
in an integrated form. In main88.cc, this is done by setting the 
following flag. 
 

flag   Merging:doUNLOPSSubtNLO   
 (default = off)

This switch will allow the processing of POWHEG NLO events, to produce NLO 
subtraction terms for the UNLOPS merging scheme. Please note 
that, in order for this to work smoothly, the switches 
Merging:doUNLOPSTree, Merging:doUNLOPSLoop and 
Merging:doUNLOPSSubt have to be turned off. 
As for the estimation of cross sections, it is mandatory to set the 
correct value of Merging:nRequested. Furthermore, it is necessary 
to set the value of Merging:nRecluster to one. 
   
 

 This sample also provides some "explicit phase space subtractions" of 
NL3, which are necessary because we implemented the 
"inclusive scheme" of [Lon13]. Let us again look at the example of 
UNLOPS merging of W + 0 jet and W + 1 jet at NLO accuracy. 
The integrated  W + 1 jet NLO events, which are produced by the setting 
Merging:doUNLOPSSubtNLO = on, contain a tree-level part. This 
part will exactly cancel the real-emission events with one jet above the 
merging scale in the  W + 0 jet NLO events. 
 

 
The NLO merging weight of these "integrated" events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doUNLOPSSubtNLO = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 

 After these five steps (estimation of cross sections, tree-level 
processing, POWHEG processing, integrated tree-level processing, 
integrated POWHEG processing) we have produced a UNLOPS-merged HepMC 
event file. main88.cc finishes by returning the 
UNLOPS-merged total cross section. 
 
 


 

NLO merging and "exclusive" NLO inputs
 
 
Currently, both sample main programs for NLO merging (main87.cc 
and main88.cc) are intended for "inclusive" POWHEG input. 
Inclusive input means that all real emission phase space points are included 
in the POWHEG output files. In order to avoid double counting with 
higher-multiplicity matrix elements, it is then necessary remove phase space 
points with too many jets from the real-emission configurations. 
This can be done by introducing explicit phase space subtractions. Another 
way of removing the undesired configurations is by implementing a cut in the 
NLO generator. This is not a completely trivial task, since it is necessary 
to ensure numerical stability and the correct cancellation of (finite) dipole 
regularisation terms. One way of producing such exclusive NLO output is by 
setting the (tree-level) real-emission matrix element in the NLO generator to 
zero if the real-emission phase space point contains too many jets above the 
merging scale. This will however not be numerically stable for too low merging 
scale values. 
 

 We should be very clear that using exclusive NLO input is not 
recommended, since it requires hacking the NLO generator.  Only for the expert 
user, we briefly summarise the necessary changes for using exclusive 
NLO input. 
 

 For the moment, assume that the NLO input has been produced in an 
"exclusive" way. This input can then be processed by some trivial changes in 
main87.cc: estimate the cross section for tree-level and NLO 
samples after the merging scale cut, still using inclusive NLO 
samples, remove the last part of main87.cc, i.e. the part that 
produces explicit phase space subtractions, and use the exclusive NLO files as 
input files for the processing of "POWHEG NLO files". 
 

 The changes to main88.cc (implementing UNLOPS) are slightly 
more complicated. This is the case because the weights of integrated 
tree-level samples change when using exclusive input, as can be seen in 
Appendix D in [Lon13]. The correct weights can be produced by Pythia 
by using the following flag. 
 

flag   Merging:doUNLOPSTilde   
 (default = off)

This flag allows the UNLOPS machinery to produce the event weights if 
exclusive NLO input is used for the merging. This flag should be set to "on" 
directly after the cross section estimates have been produced. 
   
 

 Then, it is necessary to add code for processing another sample to 
main88.cc, since when using exclusive inputs, it is also 
necessary to enforce two integrations on tree-level events (the 
"↑"-contributions in Appendix D of [Lon13]). This can be 
achieved by adding the following code at the end of main88.cc. 

 

 
  cout << endl << endl << endl; 
  cout << "Shower subtractive events" << endl; 
 
  // Switch on processing of counter-events. 
  pythia.settings.flag("Merging:doUNLOPSTree",false); 
  pythia.settings.flag("Merging:doUNLOPSLoop",false); 
  pythia.settings.flag("Merging:doUNLOPSSubt",true); 
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",false); 
  pythia.settings.mode("Merging:nRecluster",2); 
 
  nMaxCT         = nMaxNLO+1; 
  njetcounterCT  = nMaxCT; 
  iPathSubt      = iPath + "_tree"; 
 
  while(njetcounterCT >= 2){ 
 
    // From njet, choose LHE file 
    stringstream in; 
    in   << "_" << njetcounterCT << ".lhe"; 
    string LHEfile = iPathSubt + in.str(); 
 
    cout << endl << endl << endl 
         << "Start subtractive treatment for " << njetcounterCT << " jets\n" 
         << "Recluster at least 2 times" << endl; 
 
    pythia.readString("Beams:frameType = 4"); 
    pythia.settings.word("Beams:LHEF", LHEfile); 
    pythia.settings.mode("Merging:nRequested", njetcounterCT); 
    pythia.init(); 
    // Remember position in vector of cross section estimates. 
    int iNow = sizeLO-1-njetcounterCT; 
 
    // Start generation loop 
    for( int iEvent=0; iEvent < nEvent; ++iEvent ){ 
 
      // Generate next event 
      if( !pythia.next() ) { 
        if( pythia.info.atEndOfFile() ) break; 
        else continue; 
      } 
 
      // Get event weight(s). 
      double weightNLO  = pythia.info.mergingWeightNLO(); 
      double evtweight  = pythia.info.weight(); 
      weightNLO        *= evtweight; 
      // Do not print zero-weight events. 
      if ( weightNLO == 0. ) continue; 
 
      // Construct new empty HepMC event. 
      HepMC::GenEvent* hepmcevt = new HepMC::GenEvent(); 
      // Get correct cross section from previous estimate. 
      double normhepmc = -1*xsecLO[iNow] / nAcceptLO[iNow]; 
      // Set hepmc event weight. 
      hepmcevt->weights().push_back(weightNLO*normhepmc); 
      // Fill HepMC event. 
      ToHepMC.fill_next_event( pythia, hepmcevt ); 
      // Add the weight of the current event to the cross section. 
      sigmaTotal += weightNLO*normhepmc; 
      errorTotal += pow2(weightNLO*normhepmc); 
      // Report cross section to hepmc. 
      HepMC::GenCrossSection xsec; 
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 ); 
      hepmcevt->set_cross_section( xsec ); 
      // Write the HepMC event to file. Done with it. 
      ascii_io << hepmcevt; 
      delete hepmcevt; 
 
    } // end loop over events to generate 
 
    // print cross section, errors 
    pythia.stat(); 
 
    // Restart with ME of a reduced the number of jets 
    if( njetcounterCT > 2 ) 
      njetcounterCT--; 
    else 
      break; 
 
  } 

 





Further variables


More advanced manipulations of the merging machinery are of
course possible, and additional switches can be found at
the end of the CKKW-L
tree-level merging documentation. Here, we only document
switches that only apply to NLO merging. 


flag   Merging:allowIncompleteHistoriesInReal   
 (default = off)

If switched on, this will allow to keep states with incomplete parton
shower histories (i.e. states that cannot be projected onto an allowed
underlying Born process) in the real contributions of an NLO input sample. By
default, such configurations will instead be included through
higher-multiplicity tree-level matrix elements. However, NLO input samples
can contain a significant number of such configurations if Diagram Subtraction
(DS) techniques had been applied. In order not to change the DS scheme, it
is important not to remove incomplete histories from the real-emission
contribution. Note that furthermore, if this switch turned on, you will
have to ensure yourself that no double-counting between states with incomplete
histories will occur between NLO samples and higher-multiplicity tree-level
samples. This might for example entail using the MergingHooks 
facilities, and the function 
double MergingHooks::dampenIfFailCuts(const Event& event)" in
particular.
  
 


 
 
pythia8-8.1.86.orig/htmldoc/WeakShowers.html0000644000175000017500000002404712357553535017145 0ustar  sunsun

Weak Showers




     

Weak Showers
 
 
The emission of W^+- and Z^0 gauge bosons off fermions 
is intended to be an integrated part of the initial- and final-state 
radiation frameworks, and is fully interleaved with QCD and QED emissions. 
It is a new and still not fully explored feature, however, and therefore 
it is off by default. The weak-emission machinery is described in detail 
in [Chr14]; here we only bring up some of the most relevant 
points for using this machinery. 
 

 
In QCD and QED showers the real and virtual corrections are directly 
related with each other, which means that the appropriate Sudakov factors 
can be directly obtained as a by-product of the real-emission evolution. 
This does not hold for W^+-, owing to the flavour-changing 
character of emissions, so-called Bloch-Nordsieck violations. These 
effects are not expected to be large, but they are not properly included, 
since our evolution framework makes no distinction in this respect 
between QCD, QED or weak emissions. Another restriction is that there 
is no simulation of the full gamma^*/Z^0 interference: at low 
masses the QED shower involves a pure gamma^* component, 
whereas the weak shower generates a pure Z^0. 
 

 
The non-negligible W/Z masses have a considerable impact 
both on the matrix elements and on the phase space for their emission. 
The shower on its own is not set up to handle those aspects with a 
particularly good accuracy. Therefore the weak shower emissions are 
always matched to the matrix element for emission off a f fbar 
weak dipole, or some other 2 → 3 matrix element that resembles 
the topology at hand. Even if the match may not be perfect, at least the 
main features should be caught that way. Notably, the correction procedure 
is used throughout the shower, not only for the emission closest to the 
hard 2 → 2 process. In such extended applications, emission 
rates are normalized to the invariant mass of the dipole at 
the time of the weak emission, i.e. discounting the energy change by 
previous QCD/QED emissions. 
 

 
Also the angular distribution in the 
subsequent V = W^+-/Z^0 decay is matched to the matrix element 
expression for f fbar → f fbar V → f fbar f' fbar' (FSR) 
and f fbar → g^* V → g^* f' fbar' (ISR). Afterwards the 
f' fbar' system undergoes showers and hadronization just like 
any W^+-/Z^0 decay products would. 
 

 
Special for the weak showers is that couplings are different for left- and 
righthanded fermions. With incoming unpolarized beams this should average out, 
at least so long as only one weak emission occurs. In the case of several 
weak emissions off the same fermion the correlation between them will carry 
a memory of the fermion helicity. Such a memory is retained for the 
affected dipole end, and is reflected in the Particle::pol() 
property, it being +1 (-1) for fermions considered 
righthanded (lefthanded), and 0 for the bulk where no choice has been 
made. 
 

 Most events will not contain a W^+-/Z^0 emission at all, 
which means that dedicated generator studies of weak emissions can 
become quite  inefficient. In a shower framework it is not 
straightforward to force  such emissions to happen without biasing 
the event sample in some respect. An option is available to enhance 
the emission rate artificially, but it is then the responsibility of 
the user to correct the cross section accordingly, and not to pick an 
enhancement so big that the probability for more than one emission is 
non-negligible. (It is not enough to assign an event weight 
1/e^n where e is the enhancement factor 
and n is the number of emitted gauge bosons. This still 
misses to account for the change in phase space for late emissions by 
the effect of earlier ones, or equivalently for the unwanted change in 
the Sudakov form factor. See [Lon12a] for a detailed discussion 
and possible solutions.) 
 

 
Another enhancement probability is to only allow some specific 
W^+-/Z^0 decay modes. By default the shower is inclusive, 
since it should describe all that can happen with unit probability. 
This also holds even if the W^+- and Z^0 produced 
in the hard process have been restricted to specific decay channels. 
The trick that allows this is that two new "aliases" have been produced, 
a Zcopy with identity code 93 and a Wcopy with 
code 94. These copies are used specifically to bookkeep decay channels 
open for W^+-/Z^0 bosons produced in the shower. For the rest 
they are invisible, i.e. you will not find these codes in event listings, 
but only the regular 23 and 24 ones. The identity code duplication allows 
the selection of specific decay modes for 93 and 94, i.e. for only the 
gauge bosons produced in the shower. As above it is here up to the user 
to reweight the event to compensate for the bias introduced, and to watch 
out for possible complications. In this case there is no kinematics bias, 
but one would miss out on topologies where a not-selected decay channel 
could be part of the background to the selected one, notably when more 
than one gauge boson is produced. 
 

 
Note that the common theme is that a bias leads to an event-specific 
weight, since each event is unique. It also means that the cross-section 
information obtained e.g. by Pythia::stat() is misleading, 
since it has not been corrected for such weights. This is different from 
biases in a predetermined hard process, where the net reduction in cross 
section can be calculated once and for all at initialization, and events 
generated with unit weight thereafter. 
 

 
The weak shower introduces a possible doublecounting problem. Namely that it 
is now possible to produce weak bosons in association with jets from two 
different channels, Drell-Yan weak production with QCD emissions and QCD 
hard process with a weak emission. A method, built on a classification of 
each event with the kT jet algorithm, is used to remove the 
doublecounting. Specifically, consider a tentative final state consisting 
of a W/Z and two jets. Based on the principle that the shower 
emission ought to be softer than the hard emission, the emission of a 
hard W/Z should be vetoed in a QCD event, and that of two hard 
jets in a Drell-Yan event. The dividing criterion is this whether the 
first clustering step involves the W/Z or not. It is suggested 
to turn this method on only if you simulate both Drell-Yan weak production 
and QCD hard production with a weak shower. Do not turn on the veto 
algorithm if you only intend to generate one of the two processes. 
 

variables
 
 
Below are listed the variables related to the weak shower and common to both 
the initial- and final-state radiation. For variables only related to the 
initial-state radiation (e.g. to turn the weak shower on for ISR) see 
Spacelike Showers and for 
final-state radiation see 
Timelike Showers. 
 

parm   WeakShower:enhancement   
 (default = 1.; minimum = 1.; maximum = 1000.)

Enhancement factor for the weak shower. This is used to increase the 
statistics of weak shower emissions. Remember afterwards to correct for 
the additional weak emissions (i.e. divide the rate of weak emissions by 
the same factor). 
   
 

flag   WeakShower:singleEmission   
 (default = off)

This parameter allows to stop the weak shower after a single emission. 

If on, only a single weak emission is allowed. 

If off, an unlimited number of weak emissions possible. 
   
 

flag   WeakShower:vetoWeakJets   
 (default = off)

There are two ways to produce weak bosons in association with jets, namely 
Drell-Yan weak production with QCD radiation and QCD hard process with weak 
radiation. In order to avoid double counting between the two production 
channels, a veto procedure built on the kT jet algorithm is 
implemented in the evolution starting from a 2 → 2 QCD process, 
process codes in the range 111 - 129. The veto algorithm finds the first 
cluster step, and if it does not involve a weak boson the radiation of 
the weak boson is vetoed when WeakShower:vetoWeakJets is on. 
Note that this flag does not affect other internal or external processes, 
only the 111 - 129 ones. For the Drell-Yan process the same veto algorithm 
is used, but this time the event should be vetoed if the first clustering 
does contain a weak boson, see WeakShower:vetoQCDjets below. 
   
 

flag   WeakShower:vetoQCDjets   
 (default = off)

This flag vetoes some QCD emission for Drell-Yan weak production to avoid 
doublecounting with weak emission in QCD hard processes. For more 
information see WeakShower:vetoWeakJets above. Note that 
this flag only affects the process codes 221 and 222, i.e. the main 
built-in processes for gamma^*/Z^0/W^+- production, and not 
other internal or external processes. 
   
 

parm   WeakShower:vetoWeakDeltaR   
 (default = 0.6; minimum = 0.1; maximum = 2.)

The delta R parameter used in the kT clustering for 
the veto algorithm used to avoid double counting. Relates to the relative 
importance given to ISR and FSR emissionbs. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/ParticleData.html0000644000175000017500000235264412357553536017252 0ustar  sunsun

Particle Data




 

Particle Data
 
 
The structure and operation of the particle data table is described 
here. That page 
also describes how default data properties can be changed. The 
current page provides the actual default values. 
 

Main settings
 
 
Apart from the data itself, the particle data table only contains 
a few aspects that are available to change: 
 

mode   ParticleData:modeBreitWigner   
 (default = 4; minimum = 0; maximum = 4)

Selection of particle masses when the mSel(id) is called 
to provide a new mass: 

option  0 :  
mass is fixed at the nominal m_0 value. 
   

option  1 :  
particles registered as having a mass width are given a mass 
in the range m_min < m < m_max, according 
to a truncated nonrelativistic Breit-Wigner, i.e. linear in m. 
   

option  2 :  
as above, except that the width is made mass-dependent: 
Gamma = Gamma_0 * sqrt( (m^2 - m_thr^2) / (m_0^2 - m_thr^2) ) 
where m is the current mass, m_0 the nominal one and 
m_thr is the mass threshold, given by the sum of the nominal 
masses of the decay products. In order to decouple production and decay 
the threshold is defined as the branching-ratio-weighted average over 
all allowed decay channels. 
   

option  3 :  
particles registered as having a mass width are given a mass 
in the range m_min < m < m_max, according 
to a truncated relativistic Breit-Wigner, i.e. quadratic in m. 
   

option  4 :  
as 3, but the width is modified as for 2, and the current mass is used 
for its phase-space prefactor, i.e. m_0 Gamma_0 → m Gamma(m). 
   

Note: this mode only applies to normal hadronic 
resonances like the rho. The more massive states of the 
isResonance() type, like Z^0 or top, are 
considered separately. 
   
 

parm   ParticleData:maxEnhanceBW   
 (default = 2.5; minimum = 1.; maximum = 5.)

The modifications in options 2 and 4 above enhance the large-mass tail 
of the Breit-Wigner distributions (the mass spectrum develops a dm/m divergence). 
However, we expect form factors to dampen this tail at masses some distance 
above the nominal one, so cut off the rise by requiring the actual 
Breit-Wigner weight not to be more than a factor  maxEnhanceBW 
above the one obtained with options 1 or 3, respectively. This also 
opens up for a simpler technical handling of mass selection in options 
2 and 4, by using standard hit-and-miss Monte Carlo. 
   
 

 
Since running masses are only calculated for the six quark flavours, 
e.g. to obtain couplings to the Higgs boson(s), there is not an entry 
in the normal tables for each particles, but only the six MSbar mass 
values below, used as starting point for the running. In addition you 
can pick an alpha_s(M_Z), which is converted into a first-order 
five-flavour Lambda that is used to determine the rate of the running. 
(Without any match to four flavours below m_b; if desired, this 
can be fixed by slightly shifted default mass values, since the routines 
never should be called below the m_b scale anyway.) 
 

parm   ParticleData:mdRun   
 (default = 0.006; minimum = 0.003; maximum = 0.008)

the d quark MSbar mass at 2 GeV scale. 
   
 

parm   ParticleData:muRun   
 (default = 0.003; minimum = 0.001; maximum = 0.006)

the u quark MSbar mass at 2 GeV scale. 
   
 

parm   ParticleData:msRun   
 (default = 0.095; minimum = 0.060; maximum = 0.150)

the s quark MSbar mass at 2 GeV scale. 
   
 

parm   ParticleData:mcRun   
 (default = 1.25; minimum = 1.00; maximum = 1.50)

the c quark MSbar mass at the mass scale itself. 
   
 

parm   ParticleData:mbRun   
 (default = 4.20; minimum = 4.00; maximum = 4.50)

the b quark MSbar mass at the mass scale itself. 
   
 

parm   ParticleData:mtRun   
 (default = 165.0; minimum = 150.0; maximum = 175.0)

the t quark MSbar mass at the mass scale itself. 
   
 

parm   ParticleData:alphaSvalueMRun   
 (default = 0.125; minimum = 0.10; maximum = 0.20)

the alpha_s(M_Z) value used to define the rate at which MSbar 
masses run. 
   
 

Comments on the data
 
 
Much of the current data has been updated based on the 2012 Review of Particle 
Physics [Ber12], while some is still based on the 2006 RPP 
[Yao06]. All known particle masses, widths and lifetimes 
have been set accordingly, while most not-yet-measured particles are kept at 
their values from PYTHIA 6. Decay channels and their branching 
ratios remain a major worry: many particles do not have one single solidly 
measured branching ratio, and many further do not have known branching 
ratios that add up to (the neighbourhood of) unity. 
 

 
Uncertainties are especially big for the scalar, pseudovector and tensor 
L = 1 multiplets available in PYTHIA. We note that 
some distributions become better described when these multiplets are 
included in the generation, while others become worse. It is tempting to 
associate this lackluster performance with the primitive knowledge. 
Not even the multiplets themselves are particularly well known. 
It used to be that the a_0(980) and f_0(980) 
were considered to be members of the scalar multiplet. Nowadays they are 
commonly assumed to be either four-quark states or of some other exotic 
character. This means that the PYTHIA 8 PDG particle codes 
have been changed for these particles, relative to what was used in 
PYTHIA 6 based on previous PDG editions. Specifically their 
numbers are now in the 9000000 series, and they have been replaced in the 
scalar multiplet by a_0(1450) and f_0(1370). 
 

 
For charm and bottom mesons the jungle of partial measurements makes 
it very difficult to construct fully consistent sets of decay channels. 
This part of the program has not yet been brought up to date to the 
2006 RPP. Instead the LHCb decay tables (for EvtGen, but without 
using the EvtGen matrix-element machinery) and the DELPHI tune for 
PYTHIA 6 is being used. (This also includes a few non-c/b 
hadrons that only occur in the c/b decay tables.) This has the 
advantage that many tests have been made for consistency, but the 
disadvantage that it is not always in agreement with the latest 
measurements of some specific decay channels. The decays based 
on the LHCb tables (with some modifications) are 411, 421, 431, 441, 
445, 511, 521, 531, 541, 3124, 4122, 4124, 5122, 10441, 10443, 13122, 
14122, 20443, 23122, 30313, 30323, 30443, 33122, 100113, 100213, 100441, 
100443, 100553, 9000111, 9000211. Correspondingly the decays based on 
the DELPHI tables are 415, 425, 435, 515, 525, 535, 4132, 4232, 4332, 
5132, 5232 and 5332. 
 

The data itself
 
 
Here comes the default particle data used in the program. Do not touch. 
The meaning of the various properties and the format used are explained 
here and the 
meMode codes here. 
 

particle: id="0" name="void" spinType="0" chargeType="0" colType="0" 
          m0="0.00000" 
 

particle: id="1" name="d" antiName="dbar" spinType="2" chargeType="-1" colType="1" 
          m0="0.33000" 
 

particle: id="2" name="u" antiName="ubar" spinType="2" chargeType="2" colType="1" 
          m0="0.33000" 
 

particle: id="3" name="s" antiName="sbar" spinType="2" chargeType="-1" colType="1" 
          m0="0.50000" 
 

particle: id="4" name="c" antiName="cbar" spinType="2" chargeType="2" colType="1" 
          m0="1.50000" 
 

particle: id="5" name="b" antiName="bbar" spinType="2" chargeType="-1" colType="1" 
          m0="4.80000" 
 

particle: id="6" name="t" antiName="tbar" spinType="2" chargeType="2" colType="1" 
          m0="171.00000" mWidth="1.40000" mMin="86.00000" mMax="0.00000" 
 
      channel: onMode="1" bRatio="0.0000300" products="24 1" 
 
      channel: onMode="1" bRatio="0.0017650" products="24 3" 
 
      channel: onMode="1" bRatio="0.9982050" products="24 5" 
 
      channel: onMode="0" bRatio="0.0000000" products="37 5" 
 

particle: id="7" name="b'" antiName="b'bar" spinType="2" chargeType="-1" colType="1" 
          m0="400.00000" 
 
      channel: onMode="1" bRatio="0.0000000" products="-24 2" 
 
      channel: onMode="1" bRatio="0.0000000" products="-24 4" 
 
      channel: onMode="1" bRatio="0.0000000" products="-24 6" 
 
      channel: onMode="1" bRatio="1.0000000" products="-24 8" 
 

particle: id="8" name="t'" antiName="t'bar" spinType="2" chargeType="2" colType="1" 
          m0="400.00000" 
 
      channel: onMode="1" bRatio="0.0000000" products="24 1" 
 
      channel: onMode="1" bRatio="0.0000000" products="24 3" 
 
      channel: onMode="1" bRatio="0.0000000" products="24 5" 
 
      channel: onMode="1" bRatio="1.0000000" products="24 7" 
 

particle: id="11" name="e-" antiName="e+" spinType="2" chargeType="-3" colType="0" 
          m0="5.110e-04" 
 

particle: id="12" name="nu_e" antiName="nu_ebar" spinType="2" chargeType="0" colType="0" 
          m0="0.00000" 
 

particle: id="13" name="mu-" antiName="mu+" spinType="2" chargeType="-3" colType="0" 
          m0="0.10566" tau0="6.58654e+05" 
 
      channel: onMode="1" bRatio="1.0000000" meMode="22" products="-12 11 14" 
 

particle: id="14" name="nu_mu" antiName="nu_mubar" spinType="2" chargeType="0" colType="0" 
          m0="0.00000" 
 

particle: id="15" name="tau-" antiName="tau+" spinType="2" chargeType="-3" colType="0" 
          m0="1.77682" tau0="8.71100e-02" 
 
      channel: onMode="1" bRatio="0.1076825" meMode="1521" products="16 -211" 
 
      channel: onMode="1" bRatio="0.0069601" meMode="1521" products="16 -321" 
 
      channel: onMode="1" bRatio="0.1772832" meMode="1531" products="16 11 -12" 
 
      channel: onMode="1" bRatio="0.1731072" meMode="1531" products="16 13 -14" 
 
      channel: onMode="1" bRatio="0.2537447" meMode="1532" products="16 111 -211" 
 
      channel: onMode="1" bRatio="0.0015809" meMode="1532" products="16 311 -321" 
 
      channel: onMode="1" bRatio="0.0001511" meMode="1532" products="16 221 -321" 
 
      channel: onMode="1" bRatio="0.0083521" meMode="1533" products="16 -211 -311" 
 
      channel: onMode="1" bRatio="0.0042655" meMode="1533" products="16 111 -321" 
 
      channel: onMode="1" bRatio="0.0924697" meMode="1541" products="16 111 111 -211" 
 
      channel: onMode="1" bRatio="0.0925691" meMode="1541" products="16 -211 -211 211" 
 
      channel: onMode="1" bRatio="0.0039772" meMode="1542" products="16 111 -211 -311" 
 
      channel: onMode="1" bRatio="0.0034701" meMode="1542" products="16 -211 211 -321" 
 
      channel: onMode="1" bRatio="0.0014318" meMode="1542" products="16 -211 -321 321" 
 
      channel: onMode="1" bRatio="0.0015809" meMode="1542" products="16 111 311 -321" 
 
      channel: onMode="1" bRatio="0.0011932" meMode="1542" products="16 130 -211 310" 
 
      channel: onMode="1" bRatio="0.0006463" meMode="1542" products="16 111 111 -321" 
 
      channel: onMode="1" bRatio="0.0002386" meMode="1542" products="16 130 130 -211" 
 
      channel: onMode="1" bRatio="0.0002386" meMode="1542" products="16 -211 310 310" 
 
      channel: onMode="1" bRatio="0.0013821" meMode="1543" products="16 111 -211 221" 
 
      channel: onMode="1" bRatio="0.0017520" meMode="1544" products="16 22 111 -211" 
 
      channel: onMode="1" bRatio="0.0459365" meMode="1551" products="16 111 -211 -211 211" 
 
      channel: onMode="1" bRatio="0.0104401" meMode="1551" products="16 111 111 111 -211" 
 
      channel: onMode="1" bRatio="0.0049069" meMode="1561" products="16 111 111 -211 -211 211" 
 
      channel: onMode="1" bRatio="0.0009515" meMode="1561" products="16 111 111 111 111 -211" 
 
      channel: onMode="1" bRatio="0.0008342" meMode="1561" products="16 -211 -211 -211 211 211" 
 
      channel: onMode="1" bRatio="0.0001631" meMode="0" products="16 -211 -211 211 221" 
 
      channel: onMode="1" bRatio="0.0001491" meMode="0" products="16 111 111 -211 221" 
 
      channel: onMode="1" bRatio="0.0001392" meMode="0" products="16 111 111 -211 223" 
 
      channel: onMode="1" bRatio="0.0001193" meMode="0" products="16 -211 -211 211 223" 
 
      channel: onMode="1" bRatio="0.0004077" meMode="0" products="16 223 -321" 
 
      channel: onMode="1" bRatio="0.0004773" meMode="0" products="16 111 111 111 -321" 
 
      channel: onMode="1" bRatio="0.0003052" meMode="0" products="16 111 -211 211 -321" 
 
      channel: onMode="1" bRatio="0.0002784" meMode="0" products="16 221 -323" 
 
      channel: onMode="1" bRatio="0.0002366" meMode="0" products="16 111 111 -211 -311" 
 
      channel: onMode="1" bRatio="0.0002237" meMode="0" products="16 -211 -211 211 -311" 
 
      channel: onMode="1" bRatio="0.0002953" meMode="0" products="16 111 -211 -311 311" 
 
      channel: onMode="1" bRatio="0.0000590" meMode="0" products="16 111 -211 -321 321" 
 

particle: id="16" name="nu_tau" antiName="nu_taubar" spinType="2" chargeType="0" colType="0" 
          m0="0.00000" 
 

particle: id="17" name="tau'-" antiName="tau'+" spinType="2" chargeType="-3" colType="0" 
          m0="400.00000" 
 
      channel: onMode="1" bRatio="1.0000000" products="-24 18" 
 

particle: id="18" name="nu'_tau" antiName="nu'_taubar" spinType="2" chargeType="0" colType="0" 
          m0="400.00000" 
 
      channel: onMode="1" bRatio="1.0000000" products="24 17" 
 

particle: id="21" name="g" spinType="3" chargeType="0" colType="2" 
          m0="0.00000" 
 

particle: id="22" name="gamma" spinType="3" chargeType="0" colType="0" 
          m0="0.00000" 
 

particle: id="23" name="Z0" spinType="3" chargeType="0" colType="0" 
          m0="91.18760" mWidth="2.49520" mMin="10.00000" mMax="0.00000" 
 
      channel: onMode="1" bRatio="0.1539950" products="1 -1" 
 
      channel: onMode="1" bRatio="0.1194200" products="2 -2" 
 
      channel: onMode="1" bRatio="0.1539840" products="3 -3" 
 
      channel: onMode="1" bRatio="0.1192590" products="4 -4" 
 
      channel: onMode="1" bRatio="0.1522720" products="5 -5" 
 
      channel: onMode="1" bRatio="0.0335760" products="11 -11" 
 
      channel: onMode="1" bRatio="0.0668060" products="12 -12" 
 
      channel: onMode="1" bRatio="0.0335760" products="13 -13" 
 
      channel: onMode="1" bRatio="0.0668060" products="14 -14" 
 
      channel: onMode="1" bRatio="0.0335000" products="15 -15" 
 
      channel: onMode="1" bRatio="0.0668060" products="16 -16" 
 

particle: id="24" name="W+" antiName="W-" spinType="3" chargeType="3" colType="0" 
          m0="80.38500" mWidth="2.08500" mMin="10.00000" mMax="0.00000" 
 
      channel: onMode="1" bRatio="0.3213690" products="-1 2" 
 
      channel: onMode="1" bRatio="0.0164940" products="-1 4" 
 
      channel: onMode="1" bRatio="0.0165020" products="-3 2" 
 
      channel: onMode="1" bRatio="0.3206150" products="-3 4" 
 
      channel: onMode="1" bRatio="0.0000100" products="-5 2" 
 
      channel: onMode="1" bRatio="0.0005910" products="-5 4" 
 
      channel: onMode="1" bRatio="0.1081660" products="-11 12" 
 
      channel: onMode="1" bRatio="0.1081660" products="-13 14" 
 
      channel: onMode="1" bRatio="0.1080870" products="-15 16" 
 

particle: id="25" name="h0" spinType="1" chargeType="0" colType="0" 
          m0="125.00000" mWidth="0.00374" mMin="50.00000" mMax="0.00000" 
 
      channel: onMode="1" bRatio="0.0000009" products="1 -1" 
 
      channel: onMode="1" bRatio="0.0000002" products="2 -2" 
 
      channel: onMode="1" bRatio="0.0002361" products="3 -3" 
 
      channel: onMode="1" bRatio="0.0335602" products="4 -4" 
 
      channel: onMode="1" bRatio="0.5876728" products="5 -5" 
 
      channel: onMode="1" bRatio="0.0000000" products="6 -6" 
 
      channel: onMode="1" bRatio="0.0000000" products="11 -11" 
 
      channel: onMode="1" bRatio="0.0002445" products="13 -13" 
 
      channel: onMode="1" bRatio="0.0690800" products="15 -15" 
 
      channel: onMode="1" bRatio="0.0630585" products="21 21" 
 
      channel: onMode="1" bRatio="0.0028438" products="22 22" 
 
      channel: onMode="1" bRatio="0.0017601" products="22 23" 
 
      channel: onMode="1" bRatio="0.0259708" products="23 23" 
 
      channel: onMode="1" bRatio="0.2155720" products="24 -24" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000022 1000022" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000023 1000022" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000023 1000023" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000025 1000022" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000025 1000023" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000025 1000025" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000035 1000022" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000035 1000023" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000035 1000025" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000035 1000035" 
 
      channel: onMode="1" bRatio="0.0000000" meMode="103" products="1000024 -1000024" 
 
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      channel: onMode="1" bRatio="1.0000000" products="200553 21"


particle: id="9952003" name="Upsilon[3PJ(8)]" spinType="3" chargeType="0" colType="2"
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      channel: onMode="1" bRatio="1.0000000" products="553 21"


particle: id="9952103" name="Upsilon(2S)[3PJ(8)]" spinType="3" chargeType="0" colType="2"
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      channel: onMode="1" bRatio="1.0000000" products="100553 21"


particle: id="9952203" name="Upsilon(3S)[3PJ(8)]" spinType="3" chargeType="0" colType="2"
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      channel: onMode="1" bRatio="1.0000000" products="200553 21"



 
 
pythia8-8.1.86.orig/htmldoc/MultipartonInteractions.html0000644000175000017500000007271312357553535021607 0ustar  sunsun

Multiparton Interactions




 

Multiparton Interactions
 
 
The starting point for the multiparton interactions physics scenario in 
PYTHIA is provided by [Sjo87]. Recent developments have 
included a more careful study of flavour and colour correlations, 
junction topologies and the relationship to beam remnants 
[Sjo04], interleaving with initial-state radiation 
[Sjo05], making use of transverse-momentum-ordered 
initial- and final-state showers, with the extension to fully 
interleaved evolution covered in [Cor10a]. A framework to 
handle rescattering is described in [Cor09]. 
 

 
A big unsolved issue is how the colour of all these subsystems is 
correlated. For sure there is a correlation coming from the colour 
singlet nature of the incoming beams, but in addition final-state 
colour rearrangements may change the picture. Indeed such extra 
effects appear necessary to describe data, e.g. on 
<pT>(n_ch). A simple implementation of colour 
rearrangement is found as part of the 
beam remnants description. 
 

Main variables
 
 

Matching to hard process
 
 
The maximum pT to be allowed for multiparton interactions is 
related to the nature of the hard process itself. It involves a 
delicate balance between not double-counting and not leaving any 
gaps in the coverage. The best procedure may depend on information 
only the user has: how the events were generated and mixed (e.g. with 
Les Houches Accord external input), and how they are intended to be 
used. Therefore a few options are available, with a sensible default 
behaviour. 

mode   MultipartonInteractions:pTmaxMatch   
 (default = 0; minimum = 0; maximum = 2)

Way in which the maximum scale for multiparton interactions is set 
to match the scale of the hard process itself. 

option  0 : (i) if the final state of the hard process 
(not counting subsequent resonance decays) contains only quarks 
(u, d, s, c, b), gluons and photons then pT_max 
is chosen to be the factorization scale for internal processes 
and the scale value for Les Houches input; 
(ii) if not, interactions are allowed to go all the way up 
to the kinematical limit. 
The reasoning is that the former kind of processes are generated by 
the multiparton-interactions machinery and so would double-count hard 
processes if allowed to overlap the same pT range, 
while no such danger exists in the latter case. 
   

option  1 : always use the factorization scale for an internal 
process and the scale value for Les Houches input, 
i.e. the lower value. This should avoid double-counting, but 
may leave out some interactions that ought to have been simulated. 
   

option  2 : always allow multiparton interactions up to the 
kinematical limit. This will simulate all possible event topologies, 
but may lead to double-counting. 
   

Note: If a "second hard" process is present, the two 
are analyzed separately for the default 0 option. It is enough that 
one of them only consists of quarks, gluons and photons to restrict 
the pT range. The maximum for MPI is then set by the hard 
interaction with lowest scale. 
   
 

Cross-section parameters
 
 
The rate of interactions is determined by 

parm   MultipartonInteractions:alphaSvalue   
 (default = 0.127; minimum = 0.06; maximum = 0.25)

The value of alpha_strong at m_Z. Default value is 
picked equal to the one used in CTEQ 5L. 
   
 

 
The actual value is then regulated by the running to the scale 
pT^2, at which it is evaluated 

mode   MultipartonInteractions:alphaSorder   
 (default = 1; minimum = 0; maximum = 2)

The order at which alpha_strong runs at scales away from 
m_Z. 

option  0 : zeroth order, i.e. alpha_strong is kept 
fixed.   

option  1 : first order, which is the normal value.   

option  2 : second order. Since other parts of the code do 
not go to second order there is no strong reason to use this option, 
but there is also nothing wrong with it.   
   
 

 
QED interactions are regulated by the alpha_electromagnetic 
value at the pT^2 scale of an interaction. 
  

mode   MultipartonInteractions:alphaEMorder   
 (default = 1; minimum = -1; maximum = 1)

The running of alpha_em used in hard processes. 

option  1 : first-order running, constrained to agree with 
StandardModel:alphaEMmZ at the Z^0 mass. 
   

option  0 : zeroth order, i.e. alpha_em is kept 
fixed at its value at vanishing momentum transfer.   

option  -1 : zeroth order, i.e. alpha_em is kept 
fixed, but at StandardModel:alphaEMmZ, i.e. its value 
at the Z^0 mass. 
   
   
 

 
Note that the choices of alpha_strong and alpha_em 
made here override the ones implemented in the normal process machinery, 
but only for the interactions generated by the 
MultipartonInteractions class. 
 

 
In addition there is the possibility of a global rescaling of 
cross sections (which could not easily be accommodated by a 
changed alpha_strong, since alpha_strong runs) 

parm   MultipartonInteractions:Kfactor   
 (default = 1.0; minimum = 0.5; maximum = 4.0)

Multiply all cross sections by this fix factor. 
   
 

 
The processes used to generate multiparton interactions form a subset 
of the standard library of hard processes. The input is slightly 
different from the standard hard-process machinery, however, 
since incoming flavours, the alpha_strong value and most 
of the kinematics are already fixed when the process is called. 
It is possible to regulate the set of processes that are included in the 
multiparton-interactions framework. 
 

mode   MultipartonInteractions:processLevel   
 (default = 3; minimum = 0; maximum = 3)

Set of processes included in the machinery. 

option  0 : only the simplest 2 → 2 QCD processes 
between quarks and gluons, giving no new flavours, i.e. dominated by 
t-channel gluon exchange.   

option  1 : also 2 → 2 QCD processes giving new flavours 
(including charm and bottom), i.e. proceeding through s-channel 
gluon exchange.   

option  2 : also 2 → 2 processes involving one or two 
photons in the final state, s-channel gamma 
boson exchange and t-channel gamma/Z^0/W^+- 
boson exchange.   

option  3 : also charmonium and bottomonium production, via 
colour singlet and colour octet channels.   
   
 

Cross-section regularization
 
 
There are two complementary ways of regularizing the small-pT 
divergence, a sharp cutoff and a smooth dampening. These can be 
combined as desired, but it makes sense to coordinate with how the 
same issue is handled in spacelike 
showers. Actually, by default, the parameters defined here are 
used also for the spacelike showers, but this can be overridden. 
 

 
Regularization of the divergence of the QCD cross section for 
pT → 0 is obtained by a factor pT^4 / (pT0^2 + pT^2)^2, 
and by using an alpha_s(pT0^2 + pT^2). An energy dependence 
of the pT0 choice is introduced by two further parameters, 
so that pT0Ref is the pT0 value for the reference 
CM energy, pT0Ref = pT0(ecmRef). 

Warning: if a large pT0 is picked for multiparton 
interactions, such that the integrated interaction cross section is 
below the nondiffractive inelastic one, this pT0 will 
automatically be scaled down to cope. 
 

 
The actual pT0 parameter used at a given CM energy scale, 
ecmNow, is obtained as 

 
     pT0 = pT0(ecmNow) = pT0Ref * (ecmNow / ecmRef)^ecmPow 

 
where pT0Ref, ecmRef and ecmPow are the 
three parameters below. 
 

parm   MultipartonInteractions:pT0Ref   
 (default = 2.15; minimum = 0.5; maximum = 10.0)

The pT0Ref scale in the above formula. 

Note: pT0Ref is one of the key parameters in a 
complete PYTHIA tune. Its value is intimately tied to a number of other 
choices, such as that of colour flow description, so unfortunately it is 
difficult to give an independent meaning to pT0Ref. 
   
 

parm   MultipartonInteractions:ecmRef   
 (default = 1800.0; minimum = 1.)

The ecmRef reference energy scale introduced above. 
   
 

parm   MultipartonInteractions:ecmPow   
 (default = 0.24; minimum = 0.0; maximum = 0.5)

The ecmPow energy rescaling pace introduced above. 
   
 

 
Alternatively, or in combination, a sharp cut can be used. 

parm   MultipartonInteractions:pTmin   
 (default = 0.2; minimum = 0.1; maximum = 10.0)

Lower cutoff in pT, below which no further interactions 
are allowed. Normally pT0 above would be used to provide 
the main regularization of the cross section for pT → 0, 
in which case pTmin is used  mainly for technical reasons. 
It is possible, however, to set pT0Ref = 0 and use 
pTmin to provide a step-function regularization, or to 
combine them in intermediate approaches. Currently pTmin 
is taken to be energy-independent. 
   
 

 
Gösta Gustafson has proposed (private communication, unpublished) 
that the amount of screening, as encapsulated in the pT0 
parameter, fluctuates from one event to the next. Specifically, 
high-activity event are more likely to lead to interactions at large 
pT scales, but the high activity simultaneously leads to a 
larger screening of interactions at smaller pT. Such a scenario 
can approximately be simulated by scaling up the pT0 by a 
factor sqrt(n), where n is the number of interactions 
considered so far, including the current one. That is, for the first 
interaction the dampening factor is pT^4 / (pT0^2 + pT^2)^2, 
for the second pT^4 / (2 pT0^2 + pT^2)^2, for the third 
pT^4 / (3 pT0^2 + pT^2)^2, and so on. Optionally the scheme 
may also be applied to ISR emissions. For simplicity the same 
alpha_s(pT0^2 + pT^2) is used throughout. Note that, in this 
scenario the pT0 scale must be lower than in the normal case 
to begin with, since it later is increased back up. Also note that the 
idea with this scenario is to propose an alternative to colour 
reconnection to understand the rise of <pT>(n_ch), 
so that the amount of colour reconnection should be reduced. 

mode   MultipartonInteractions:enhanceScreening   
 (default = 0; minimum = 0; maximum = 2)

Choice to activate the above screening scenario, i.e. an increasing 
effective pT0 for consecutive interactions. 

option  0 : No activity-dependent screening, i.e. pT0 
is fixed.   

option  1 : The pT0 scale is increased as a function 
of the number of MPI's, as explained above. ISR is not affected, 
but note that, if SpaceShower:samePTasMPI is on, 
then MultipartonInteractions:pT0Ref is used also for ISR, 
which may or may not be desirable. 
    

option  2 : Both MPI and ISR influence and are influenced by the 
screening. That is, the dampening is reduced based on the total number 
of MPI and ISR steps considered so far, including the current one. 
This dampening is implemented both for MPI and for ISR emissions, 
for the latter provided that SpaceShower:samePTasMPI is on 
(default). 
   
   
 

Impact-parameter dependence
 
  
The choice of impact-parameter dependence is regulated by several 
parameters. The ones listed here refer to nondiffractive topologies 
only, while their equivalents for diffractive events are put in the 
Diffraction description. Note that 
there is currently no bProfile = 4 option for diffraction. 
Other parameters are assumed to agree between diffractive and 
nondiffractive topologies. 
 

mode   MultipartonInteractions:bProfile   
 (default = 1; minimum = 0; maximum = 4)

Choice of impact parameter profile for the incoming hadron beams. 

option  0 : no impact parameter dependence at all.   

option  1 : a simple Gaussian matter distribution; 
no free parameters.   

option  2 : a double Gaussian matter distribution, 
with the two free parameters coreRadius and 
coreFraction.   

option  3 : an overlap function, i.e. the convolution of 
the matter distributions of the two incoming hadrons, of the form 
exp(- b^expPow), where expPow is a free 
parameter.   

option  4 : a Gaussian matter distribution with a width 
that varies according to the selected x value of an interaction, 
1. + a1 log (1 / x), where a1 is a free parameter. 
Note that once b has been selected for the hard process, 
it remains fixed for the remainder of the evolution. 
   
   
 

parm   MultipartonInteractions:coreRadius   
 (default = 0.4; minimum = 0.1; maximum = 1.)

When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a radius that is a factor 
coreRadius smaller than the rest. 
   
 

parm   MultipartonInteractions:coreFraction   
 (default = 0.5; minimum = 0.; maximum = 1.)

When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a fraction coreFraction 
of the matter content of the hadron. 
   
 

parm   MultipartonInteractions:expPow   
 (default = 1.; minimum = 0.4; maximum = 10.)

When bProfile = 3 it gives the power of the assumed overlap 
shape exp(- b^expPow). Default corresponds to a simple 
exponential drop, which is not too dissimilar from the overlap 
obtained with the standard double Gaussian parameters. For 
expPow = 2 we reduce to the simple Gaussian, bProfile = 1, 
and for expPow → infinity to no impact parameter dependence 
at all, bProfile = 0. For small expPow the program 
becomes slow and unstable, so the min limit must be respected. 
   
 

parm   MultipartonInteractions:a1   
 (default = 0.15; minimum = 0.; maximum = 2.)

When bProfile = 4, this gives the a1 constant in the 
Gaussian width. When a1 = 0., this reduces back to the single 
Gaussian case. 
   
 

mode   MultipartonInteractions:bSelScale   
 (default = 1; minimum = 1; maximum = 3)

The selection of impact parameter is related to the scale of the 
hard process: the harder this scale is, the more central the collision. 
In practice this centrality saturates quickly, however, and beyond 
a scale of roughly 20 GeV very little changes. (The relevant 
quantity is that the QCD jet cross section above the scale should be 
a tiny fraction of the total cross section.) In 2 → 1 and 
2 → 2 processes traditional scale choices work fine, but 
ambiguities arise for higher multiplicities, in particular when the 
scale is used for matching between the multiparton matrix elements 
and parton showers. Then the event scale may 
be chosen as that of a very low-pT parton, i.e. suggesting a 
peripheral collision, while the much harder other partons instead 
would favour a central collision. Therefore the default here is to 
override whatever scale value have been read in from an LHEF, say. 
Notice that the scale used here is decoupled from the maximum scale 
for MPIs (MultipartonInteractions:pTmaxMatch). 

option  1 :  
Use the mass for a 2 → 1 process. 
For 2 → n, n > 1 processes order the particles in 
falling mmT = m + mT and then let the scale be 
(mmT_1 + mmT_2)/2 + mmT_3/3 + mmT_4/4 + ... + mmT_n/n. 
This is constructed always to be above m1, and to assign 
decreasing importance to softer particles that are less likely to 
be associated with the hard process.   

option  2 : Use the scale parameter of the event. 
   

option  3 : use the same scale as chosen by the rules for 
MultipartonInteractions:pTmaxMatch.   
   
 

Rescattering
 
  
It is possible that a parton may rescatter, i.e. undergo a further 
interaction subsequent to the first one. The machinery to model this 
kind of physics has only recently become fully operational 
[Cor09], and is therefore not yet so well explored. 
 

 
The rescattering framework has ties with other parts of the program, 
notably with the beam remnants. 
 

flag   MultipartonInteractions:allowRescatter   
 (default = off)

Switch to allow rescattering of partons; on/off = true/false.
 
Note: the rescattering framework has not yet been implemented 
for the MultipartonInteractions:bProfile = 4 option, 
and can therefore not be switched on in that case. 
Warning: use with caution since machinery is still not 
so well tested. 
   
 

flag   MultipartonInteractions:allowDoubleRescatter   
 (default = off)

Switch to allow rescattering of partons, where both incoming partons 
have already rescattered; on/off = true/false. Is only used if 
MultipartonInteractions:allowRescatter is switched on.
 
Warning: currently there is no complete implementation that 
combines it with shower evolution, so you must use 
PartonLevel:ISR = off and PartonLevel:FSR = off. 
If not, a warning will be issued and double rescattering will not be 
simulated. The rate also comes out to be much lower than for single 
rescattering, so to first approximation it can be neglected. 
   
 

mode   MultipartonInteractions:rescatterMode   
 (default = 0; minimum = 0; maximum = 4)

Selection of which partons rescatter against unscattered partons 
from the incoming beams A and B, based on their rapidity value 
y in the collision rest frame. Here ySep is 
shorthand for MultipartonInteractions:ySepRescatter and 
deltaY for MultipartonInteractions:deltaYRescatter, 
defined below. The description is symmetric between the two beams, 
so only one case is described below. 

option  0 : only scattered partons with y > 0 
can collide with unscattered partons from beam B.   

option  1 : only scattered partons with y > ySep 
can collide with unscattered partons from beam B.   

option  2 : the probability for a scattered parton to be considered 
as a potential rescatterer against unscattered partons in beam B increases 
linearly from zero at y = ySep - deltaY to unity at 
y = ySep + deltaY.   

option  3 : the probability for a scattered parton to be considered 
as a potential rescatterer against unscattered partons in beam B increases 
with y according to 
(1/2) * (1 + tanh( (y - ySep) / deltaY)).   

option  4 : all partons are potential rescatterers against both 
beams.   
   
 

parm   MultipartonInteractions:ySepRescatter   
 (default = 0.)

used for some of the MultipartonInteractions:rescatterMode 
options above, as the rapidity for which a scattered parton has a 50% 
probability to be considered as a potential rescatterer. 
A ySep > 0 generally implies that some central partons cannot 
rescatter at all, while a ySep < 0  instead allows central 
partons to scatter against either beam. 
   
 

parm   MultipartonInteractions:deltaYRescatter   
 (default = 1.; minimum = 0.1)

used for some of the MultipartonInteractions:rescatterMode 
options above, as the width of the rapidity transition region, where the 
probability rises from zero to unity that a scattered parton is considered 
as a potential rescatterer. 
   
 
 

Further variables
 
 
These should normally not be touched. Their only function is for 
cross-checks. 
 

mode   MultipartonInteractions:nQuarkIn   
 (default = 5; minimum = 0; maximum = 5)

Number of allowed incoming quark flavours in the beams; a change 
to 4 would thus exclude b and bbar as incoming 
partons, etc. 
   
 

mode   MultipartonInteractions:nSample   
 (default = 1000; minimum = 100)

The allowed pT range is split (unevenly) into 100 bins, 
and in each of these the interaction cross section is evaluated in 
nSample random phase space points. The full integral is used 
at initialization, and the differential one during the run as a 
"Sudakov form factor" for the choice of the hardest interaction. 
A larger number implies increased accuracy of the calculations. 
   
 

Technical notes
 
 
Relative to the articles mentioned above, not much has happened. 
The main news is a technical one, that the phase space of the 
2 → 2 (massless) QCD processes is now sampled in 
dy_3 dy_4 dpT^2, where y_3 and y_4 are 
the rapidities of the two produced partons. One can show that 

 
    (dx_1 / x_1) * (dx_2 / x_2) * d(tHat) = dy_3 * dy_4 * dpT^2 

 
Furthermore, since cross sections are dominated by the "Rutherford" 
one of t-channel gluon exchange, which is enhanced by a 
factor of 9/4 for each incoming gluon, effective structure functions 
are defined as 

 
    F(x, pT2) = (9/4) * xg(x, pT2) + sum_i xq_i(x, pT2) 

 
With this technical shift of factors 9/4 from cross sections to parton 
densities, a common upper estimate of 

 
    d(sigmaHat)/d(pT2) < pi * alpha_strong^2 / pT^4 

 
is obtained. 
 

 
In fact this estimate can be reduced by a factor of 1/2 for the 
following reason: for any configuration (y_3, y_4, pT2) also 
one with (y_4, y_3, pT2) lies in the phase space. Not both 
of those can enjoy being enhanced by the tHat → 0 
singularity of 

 
    d(sigmaHat) propto 1/tHat^2. 

 
Or if they are, which is possible with identical partons like 
q q → q q and g g → g g, each singularity comes 
with half the strength. So, when integrating/averaging over the two 
configurations, the estimated d(sigmaHat)/d(pT2) drops. 
Actually, it drops even further, since the naive estimate above is 
based on 

 
    (4 /9) * (1 + (uHat/sHat)^2) < 8/9 < 1 

 
The 8/9 value would be approached for tHat → 0, which 
implies sHat >> pT2 and thus a heavy parton-distribution 
penalty, while parton distributions are largest for 
tHat = uHat = -sHat/2, where the above expression 
evaluates to 5/9. A fudge factor is therefore introduced to go the 
final step, so it can easily be modified when further non-Rutherford 
processes are added, or should parton distributions change significantly. 
 

 
At initialization, it is assumed that 

 
    d(sigma)/d(pT2) < d(sigmaHat)/d(pT2) * F(x_T, pT2) * F(x_T, pT2) 
       * (2 y_max(pT))^2 

 
where the first factor is the upper estimate as above, the second two 
the parton density sum evaluated at y_3 = y_ 4 = 0 so that 
x_1 = x_2 = x_T = 2 pT / E_cm, where the product is expected 
to be maximal, and the final is the phase space for 
-y_max < y_{3,4} < y_max. 
The right-hand side expression is scanned logarithmically in y, 
and a N is determined such that it always is below 
N/pT^4. 
 

 
To describe the dampening of the cross section at pT → 0 by 
colour screening, the actual cross section is multiplied by a 
regularization factor (pT^2 / (pT^2 + pT0^2))^2, and the 
alpha_s is evaluated at a scale pT^2 + pT0^2, 
where pT0 is a free parameter of the order of 2 - 4 GeV. 
Since pT0 can be energy-dependent,  an ansatz 

 
    pT0(ecm) = pT0Ref * (ecm/ecmRef)^ecmPow 

 
is used, where ecm is the current CM frame energy, 
ecmRef is an arbitrary reference energy where pT0Ref 
is defined, and ecmPow gives the energy rescaling pace. For 
technical reasons, also an absolute lower pT scale pTmin, 
by default 0.2 GeV, is introduced. In principle, it is possible to 
recover older scenarios with a sharp pT cutoff by setting 
pT0 = 0 and letting pTmin be a larger number. 
 

 
The above scanning strategy is then slightly modified: instead of 
an upper estimate N/pT^4 one of the form 
N/(pT^2 + r * pT0^2)^2 is used. At first glance, r = 1 
would seem to be fixed by the form of the regularization procedure, 
but this does not take into account the nontrivial dependence on 
alpha_s, parton distributions and phase space. A better 
Monte Carlo efficiency is obtained for r somewhat below unity, 
and currently r = 0.25 is hardcoded. 
 
In the generation a trial pT2 is then selected according to 

 
    d(Prob)/d(pT2) = (1/sigma_ND) * N/(pT^2 + r * pT0^2)^2 * ("Sudakov") 

 
For the trial pT2, a y_3 and a y_4 are then 
selected, and incoming flavours according to the respective 
F(x_i, pT2), and then the cross section is evaluated for this 
flavour combination. The ratio of trial/upper estimate gives the 
probability of survival. 
 

 
Actually, to profit from the factor 1/2 mentioned above, the cross 
section for the combination with y_3 and y_4 
interchanged is also tried, which corresponds to exchanging tHat 
and uHat, and the average formed, while the final kinematics 
is given by the relative importance of the two. 
 

 
Furthermore, since large y values are disfavoured by dropping 
PDF's, a factor 

 
   WT_y = (1 - (y_3/y_max)^2) * (1 - (y_4/y_max)^2) 

 
is evaluated, and used as a survival probability before the more 
time-consuming PDF+ME evaluation, with surviving events given a 
compensating weight 1/WT_y. 
 

 
An impact-parameter dependence is also allowed. Based on the hard 
pT scale of the first interaction, and enhancement/depletion 
factor is picked, which multiplies the rate of subsequent interactions. 
 

 
Parton densities are rescaled and modified to take into account the 
energy-momentum and flavours kicked out by already-considered 
interactions. 
 


 
 
pythia8-8.1.86.orig/htmldoc/TimelikeShowers.html0000644000175000017500000012136212357553535020017 0ustar  sunsun

Timelike Showers




     

Timelike Showers
 
 
The PYTHIA algorithm for timelike final-state showers is based on 
the article [Sjo05], where a transverse-momentum-ordered 
evolution scheme is introduced, with the extension to fully interleaved 
evolution covered in [Cor10a]. This algorithm is influenced by 
the previous mass-ordered algorithm in PYTHIA [Ben87] and by 
the dipole-emission formulation in Ariadne [Gus86]. From the 
mass-ordered algorithm it inherits a merging procedure for first-order 
gluon-emission matrix elements in essentially all two-body decays 
in the standard model and its minimal supersymmetric extension 
[Nor01]. 
 

 
The normal user is not expected to call TimeShower directly, 
but only have it called from Pythia. Some of the parameters 
below, in particular TimeShower:alphaSvalue, would be of 
interest for a tuning exercise, however. 
 

Main variables
 
 
Often the maximum scale of the FSR shower evolution is understood from the 
context. For instance, in a resonance decay half the resonance mass sets an 
absolute upper limit. For a hard process in a hadronic collision the choice 
is not as unique. Here the factorization 
scale has been chosen as the maximum evolution scale. This would be 
the pT for a 2 → 2 process, supplemented by mass terms 
for massive outgoing particles. For some special applications we do allow 
an alternative. 
 

mode   TimeShower:pTmaxMatch   
 (default = 1; minimum = 0; maximum = 2)

Way in which the maximum shower evolution scale is set to match the 
scale of the hard process itself. 

option  0 : (i) if the final state of the hard process 
(not counting subsequent resonance decays) contains at least one quark 
(u, d, s, c ,b), gluon or photon then pT_max 
is chosen to be the factorization scale for internal processes 
and the scale value for Les Houches input; 
(ii) if not, emissions are allowed to go all the way up to 
the kinematical limit (i.e. to half the dipole mass). 
This option agrees with the corresponding one for 
spacelike showers. There the 
reasoning is that in the former set of processes the ISR 
emission of yet another quark, gluon or photon could lead to 
double-counting, while no such danger exists in the latter case. 
The argument is less compelling for timelike showers, but could 
be a reasonable starting point. 
   

option  1 : always use the factorization scale for an internal 
process and the scale value for Les Houches input, 
i.e. the lower value. This should avoid double-counting, but 
may leave out some emissions that ought to have been simulated. 
(Also known as wimpy showers.) 
   

option  2 : always allow emissions up to the kinematical limit 
(i.e. to half the dipole mass). This will simulate all possible event 
topologies, but may lead to double-counting. 
(Also known as power showers.) 
   

Note 1: as enumerated in the text, these options take effect 
both for internal and external processes. Whether a particular option 
makes sense depends on the context. For instance, if events for the same 
basic process to different orders are to be matched, then option 1 would 
be a reasonable first guess. But in more sophisticated descriptions 
option 2 could be combined with UserHooks vetoes on 
emissions that would lead to double-counting, using more flexible 
phase space boundaries. Further details are found in the 
Matching and Merging description, 
with an example in examples/main31. 
Option 0, finally, may be most realistic when only Born-level processes 
are involved, possibly in combination with a nonzero 
TimeShower:pTdampMatch. 

Note 2: These options only apply to the hard interaction. 
If a "second hard" process is present, the two are analyzed and 
set separately for the default 0 option, while both are affected 
the same way for non-default options 1 and 2. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of each process itself. The options 
also assume that you use interleaved evolution, so that FSR is in direct 
competition with ISR for the hardest emission. If you already 
generated a number of ISR partons at low pT, it would not 
make sense to have a later FSR shower up to the kinematical limit 
for all of them. 

Note 3: Recall that resonance decays are not affected by 
this mode, but that showers there are always set to fill the full phase 
space, often with built-in matrix-element-matching that give a NLO 
accuracy. A modification of this behaviour would require you to 
work with UserHooks. 
   
 

parm   TimeShower:pTmaxFudge   
 (default = 1.0; minimum = 0.25; maximum = 2.0)

In cases where the above pTmaxMatch rules would imply 
that pT_max = pT_factorization, pTmaxFudge 
introduces a multiplicative factor f such that instead 
pT_max = f * pT_factorization. Only applies to the hardest 
interaction in an event, and a "second hard" if there is such a one, 
cf. below. It is strongly suggested that f = 1, but variations 
around this default can be useful to test this assumption. 

Note:Scales for resonance decays are not affected, but can 
be set separately by user hooks. 
   
 

parm   TimeShower:pTmaxFudgeMPI   
 (default = 1.0; minimum = 0.25; maximum = 2.0)

A multiplicative factor f such that 
pT_max = f * pT_factorization, as above, but here for the 
non-hardest interactions (when multiparton interactions are allowed). 
   
 

mode   TimeShower:pTdampMatch   
 (default = 0; minimum = 0; maximum = 2)

These options only take effect when a process is allowed to radiate up 
to the kinematical limit by the above pTmaxMatch choice, 
and no matrix-element corrections are available. Then, in many processes, 
the fall-off in pT will be too slow by one factor of pT^2. 
That is, while showers have an approximate dpT^2/pT^2 shape, often 
it should become more like dpT^2/pT^4 at pT values above 
the scale of the hard process. This argument is more obvious and relevant 
for ISR, where emissions could go the the kinematical limit, whereas they 
are constrained by the respective dipole mass for FSR. Nevertheless this 
matching option is offered for FSR to have a (semi-)symmetric description. 
Note that a dampening factor is applied to all dipoles in the final state 
of the hard process, which is somewhat different from the ISR implementation. 

option  0 : emissions go up to the kinematical limit, 
with no special dampening. 
   

option  1 : emissions go up to the kinematical limit, 
but dampened by a factor k^2 Q^2_fac/(pT^2 + k^2 Q^2_fac), 
where Q_fac is the factorization scale and k is a 
multiplicative fudge factor stored in pTdampFudge below. 
   

option  2 : emissions go up to the kinematical limit, 
but dampened by a factor k^2 Q^2_ren/(pT^2 + k^2 Q^2_ren), 
where Q_ren is the renormalization scale and k is a 
multiplicative fudge factor stored in pTdampFudge below. 
   

Note: These options only apply to the hard interaction. 
Specifically, a "second hard" interaction would not be affected. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of the process itself. 
   
 

parm   TimeShower:pTdampFudge   
 (default = 1.0; minimum = 0.25; maximum = 4.0)

In cases 1 and 2 above, where a dampening is imposed at around the 
factorization or renormalization scale, respectively, this allows the 
pT scale of dampening of radiation by a half to be shifted 
by this factor relative to the default Q_fac or Q_ren. 
This number ought to be in the neighbourhood of unity, but variations 
away from this value could do better in some processes. 
   
 

 
The amount of QCD radiation in the shower is determined by 

parm   TimeShower:alphaSvalue   
 (default = 0.1383; minimum = 0.06; maximum = 0.25)

The alpha_strong value at scale M_Z^2. The default 
value corresponds to a crude tuning to LEP data, to be improved. 
   
 

 
The actual value is then regulated by the running to the scale 
pT^2, at which the shower evaluates alpha_strong. 
 

mode   TimeShower:alphaSorder   
 (default = 1; minimum = 0; maximum = 2)

Order at which alpha_strong runs, 

option  0 : zeroth order, i.e. alpha_strong is kept 
fixed.   

option  1 : first order, which is the normal value.   

option  2 : second order. Since other parts of the code do 
not go to second order there is no strong reason to use this option, 
but there is also nothing wrong with it.   
   
 

 
The CMW rescaling of Lambda_QCD (see the section on 
StandardModelParameters) 
can be applied to the alpha_strong values used for 
timelike showers. Note that tunes using this option need lower values of 
alpha_strong(m_Z^2) than tunes that do not. 

flag   TimeShower:alphaSuseCMW   
 (default = false)


option  false : Do not apply the CMW rescaling.    

option  true : Apply the CMW rescaling, increasing 
 Lambda_QCD for timelike showers by a factor roughly 1.6. 
   
   
 

 
QED radiation is regulated by the alpha_electromagnetic 
value at the pT^2 scale of a branching. 
  

mode   TimeShower:alphaEMorder   
 (default = 1; minimum = -1; maximum = 1)

The running of alpha_em. 

option  1 : first-order running, constrained to agree with 
StandardModel:alphaEMmZ at the Z^0 mass. 
   

option  0 : zeroth order, i.e. alpha_em is kept 
fixed at its value at vanishing momentum transfer.   

option  -1 : zeroth order, i.e. alpha_em is kept 
fixed, but at StandardModel:alphaEMmZ, i.e. its value 
at the Z^0 mass. 
   
   
 

 
The natural scale for couplings, and PDFs for dipoles stretching out 
to the beam remnants, is pT^2. To explore uncertainties it 
is possibly to vary around this value, however, in analogy with what 
can be done for hard processes. 
 

parm   TimeShower:renormMultFac   
 (default = 1.; minimum = 0.1; maximum = 10.)

The default pT^2 renormalization scale is multiplied by 
this prefactor. For QCD this is equivalent to a change of 
Lambda^2 in the opposite direction, i.e. to a change of 
alpha_strong(M_Z^2) (except that flavour thresholds 
remain at fixed scales). 
   
 

parm   TimeShower:factorMultFac   
 (default = 1.; minimum = 0.1; maximum = 10.)

The default pT^2 factorization scale is multiplied by 
this prefactor. 
   
  

 
The rate of radiation if divergent in the pT → 0 limit. Here, 
however, perturbation theory is expected to break down. Therefore an 
effective pT_min cutoff parameter is introduced, below which 
no emissions are allowed. The cutoff may be different for QCD and QED 
radiation off quarks, and is mainly a technical parameter for QED 
radiation off leptons. 
 

parm   TimeShower:pTmin   
 (default = 0.4; minimum = 0.1; maximum = 2.0)

Parton shower cut-off pT for QCD emissions. 
   
 

parm   TimeShower:pTminChgQ   
 (default = 0.4; minimum = 0.1; maximum = 2.0)

Parton shower cut-off pT for photon coupling to coloured particle. 
   
 

parm   TimeShower:pTminChgL   
 (default = 1e-6; minimum = 1e-10; maximum = 2.0)

Parton shower cut-off pT for pure QED branchings. 
Assumed smaller than (or equal to) pTminChgQ. 
   
 

 
Shower branchings gamma → f fbar, where f is a 
quark or lepton, in part compete with the hard processes involving 
gamma^*/Z^0 production. In order to avoid overlap it makes 
sense to correlate the maximum gamma mass allowed in showers 
with the minimum gamma^*/Z^0 mass allowed in hard processes. 
In addition, the shower contribution only contains the pure 
gamma^* contribution, i.e. not the Z^0 part, so 
the mass spectrum above 50 GeV or so would not be well described. 
 

parm   TimeShower:mMaxGamma   
 (default = 10.0; minimum = 0.001; maximum = 5000.0)

Maximum invariant mass allowed for the created fermion pair in a 
gamma → f fbar branching in the shower. 
   
 

Interleaved evolution
 
 
Multiparton interactions (MPI) and initial-state showers (ISR) are 
always interleaved, as follows. Starting from the hard interaction, 
the complete event is constructed by a set of steps. In each step 
the pT scale of the previous step is used as starting scale 
for a downwards evolution. The MPI and ISR components each make 
their respective Monte Carlo choices for the next lower pT 
value. The one with larger pT is allowed to carry out its 
proposed action, thereby modifying the conditions for the next steps. 
This is relevant since the two components compete for the energy 
contained in the beam remnants: both an interaction and an emission 
take away some of the energy, leaving less for the future. The end 
result is a combined chain of decreasing pT values, where 
ones associated with new interactions and ones with new emissions 
are interleaved. 
 

 
There is no corresponding requirement for final-state radiation (FSR) 
to be interleaved. Such an FSR emission does not compete directly for 
beam energy (but see below), and also can be viewed as occurring after 
the other two components in some kind of time sense. Interleaving is 
allowed, however, since it can be argued that a high-pT FSR 
occurs on shorter time scales than a low-pT MPI, say. 
Backwards evolution of ISR is also an example that physical time 
is not the only possible ordering principle, but that one can work 
with conditional probabilities: given the partonic picture at a 
specific pT resolution scale, what possibilities are open 
for a modified picture at a slightly lower pT scale, either 
by MPI, ISR or FSR? Complete interleaving of the three components also 
offers advantages if one aims at matching to higher-order matrix 
elements above some given scale. 
 

flag   TimeShower:interleave   
 (default = on)

If on, final-state emissions are interleaved in the same 
decreasing-pT chain as multiparton interactions and initial-state 
emissions. If off, final-state emissions are only addressed after the 
multiparton interactions and initial-state radiation have been considered. 
   
 

 
As an aside, it should be noted that such interleaving does not affect 
showering in resonance decays, such as a Z^0. These decays are 
only introduced after the production process has been considered in full, 
and the subsequent FSR is carried out inside the resonance, with 
preserved resonance mass. 
 

 
One aspect of FSR for a hard process in hadron collisions is that often 
colour dipoles are formed between a scattered parton and a beam remnant, 
or rather the hole left behind by an incoming partons. If such holes 
are allowed as dipole ends and take the recoil when the scattered parton 
undergoes a branching then this translates into the need to take some 
amount of remnant energy also in the case of FSR, i.e. the roles of 
ISR and FSR are not completely decoupled. The energy taken away is 
bookkept by increasing the x value assigned to the incoming 
scattering parton, and a reweighting factor 
x_new f(x_new, pT^2) / x_old f(x_old, pT^2) 
in the emission probability ensures that not unphysically large 
x_new values are reached. Usually such x changes are 
small, and they can be viewed as a higher-order effect beyond the 
accuracy of the leading-log initial-state showers. 
 

 
This choice is not unique, however. As an alternative, if nothing else 
useful for cross-checks, one could imagine that the FSR is completely 
decoupled from the ISR and beam remnants. 
 

flag   TimeShower:allowBeamRecoil   
 (default = on)

If on, the final-state shower is allowed to borrow energy from 
the beam remnants as described above, thereby changing the mass of the 
scattering subsystem. If off, the partons in the scattering subsystem 
are constrained to borrow energy from each other, such that the total 
four-momentum of the system is preserved. This flag has no effect 
on resonance decays, where the shower always preserves the resonance 
mass, cf. the comment above about showers for resonances never being 
interleaved. 
   
 

flag   TimeShower:dampenBeamRecoil   
 (default = on)

When beam recoil is allowed there is still some ambiguity how far 
into the beam end of the dipole that emission should be allowed. 
It is dampened in the beam region, but probably not enough. 
When on an additional suppression factor 
4 pT2_hard / (4 pT2_hard + m2) is multiplied on to the 
emission probability. Here pT_hard is the transverse momentum 
of the radiating parton and m the off-shell mass it acquires 
by the branching, m2 = pT2/(z(1-z)). Note that 
m2 = 4 pT2_hard is the kinematical limit for a scattering 
at 90 degrees without beam recoil. 
   
 

Global recoil
 
 
The final-state algorithm is based on dipole-style recoils, where 
one single parton takes the full recoil of a branching. This is unlike 
the initial-state algorithm, where the complete already-existing 
final state shares the recoil of each new emission. As an alternative, 
also the final-state algorithm contains an option where the recoil 
is shared between all partons in the final state. Thus the radiation 
pattern is unrelated to colour correlations. This is especially 
convenient for some matching algorithms, like MC@NLO, where a full 
analytic knowledge of the shower radiation pattern is needed to avoid 
double-counting. (The pT-ordered shower is described in 
[Sjo05], and the corrections for massive radiator and recoiler 
in [Nor01].) 
 

 
Technically, the radiation pattern is most conveniently represented 
in the rest frame of the final state of the hard subprocess. Then, for 
each parton at a time, the rest of the final state can be viewed as 
a single effective parton. This "parton" has a fixed invariant mass 
during the emission process, and takes the recoil without any changed 
direction of motion. The momenta of the individual new recoilers are 
then obtained by a simple common boost of the original ones. 
 

 
This alternative approach will miss out on the colour coherence 
phenomena. Specifically, with the whole subcollision mass as "dipole" 
mass, the phase space for subsequent emissions is larger than for 
the normal dipole algorithm. The phase space difference grows as 
more and more gluons are created, and thus leads to a way too steep 
multiplication of soft gluons. Therefore the main application is 
for the first one or few emissions of the shower, where a potential 
overestimate of the emission rate is to be corrected for anyway, 
by matching to the relevant matrix elements. Thereafter, subsequent 
emissions should be handled as before, i.e. with dipoles spanned 
between nearby partons. Furthermore, only the first (hardest) 
subcollision is handled with global recoils, since subsequent MPI's 
would not be subject to matrix element corrections anyway. 
 

 
In order for the mid-shower switch from global to local recoils 
to work, colours are traced and bookkept just as for normal showers; 
it is only that this information is not used in those steps where 
a global recoil is requested. (Thus, e.g., a gluon is still bookkept 
as one colour and one anticolour dipole end, with half the charge 
each, but with global recoil those two ends radiate identically.) 
 

flag   TimeShower:globalRecoil   
 (default = off)

Alternative approach as above, where all final-state particles share 
the recoil of an emission. 

If off, then use the standard dipole-recoil approach. 

If on, use the alternative global recoil, but only for the first 
interaction, and only while the number of particles in the final state 
is at most TimeShower:nMaxGlobalRecoil before the 
branching. 
   
   

mode   TimeShower:nMaxGlobalRecoil   
 (default = 2; minimum = 1)

Represents the maximum number of particles in the final state for which 
the next final-state emission can be performed with the global recoil 
strategy. This number counts all particles, whether they are 
allowed to radiate or not, e.g. also Z^0. Also partons 
created by initial-state radiation emissions counts towards this sum, 
as part of the interleaved evolution. Without interleaved evolution 
this option would not make sense, since then a varying and large 
number of partons could already have been created by the initial-state 
radiation before the first final-state one, and then there is not 
likely to be any matrix elements available for matching. 
   
 

 
Two variations of the scheme outlined above are also available, 
(motivated by comparative studies within aMC@NLO). These studies indicate 
that global recoils should be used as sparsely as possible, in order to 
retain desirable features of the radiation pattern produced with the local 
recoil prescription. 
 

mode   TimeShower:globalRecoilMode   
 (default = 0; minimum = 0; maximum = 2)

Choice which splittings are produced with the global recoil approach. 

option  0 : Global recoil mode as outlined above, i.e. using global 
recoils until the number of final state particles exceeds 
TimeShower:nMaxGlobalRecoil.   

option  1 : Global recoil only for the first branching of 
final state legs that have an ancestor in the hard process, and 
if the maximal number of branchings generated according to the global 
recoil scheme (see TimeShower:nMaxGlobalBranch below) has 
not yet been reached.   

option  2 : Global recoil only if the first branching in 
the whole evolution is a timelike splitting of a parton in an 
event with Born-like kinematics (i.e.\ an S-event). 
The impact of global recoils should be minimal in this case. 
This option is only sensible for interleaved evolution. 
   
   
 

mode   TimeShower:nMaxGlobalBranch   
 (default = -1)

The maximum number of splittings in the final state for which 
the next final-state emission can be performed with the global recoil 
strategy. This number has to be set if TimeShower:globalRecoilMode = 1 
 or TimeShower:globalRecoilMode = 2 
   
 

mode   TimeShower:nPartonsInBorn   
 (default = -1)

The number of partons for Born-like phase space points. This number needs 
to be set if a different treatment of S-events (with Born-like kinematics) 
and H-events (with real-emission kinematics) is desired. This number has 
to be set if TimeShower:globalRecoilMode = 2. 
   
 

flag   TimeShower:limitPTmaxGlobal   
 (default = off)

If on, limit the maximal pT produced in branchings in the global recoil scheme 
exactly as in the default (local) scheme. This means that the mass of the 
splitting dipole will set an upper bound for the pT of an emission. 
To be more explicit, this disallows emissions with pT larger than 
min{μstart 2, mD2/4}, 
with mD2 = 
(√ (pr 
+ps)2 -m0,s)2 
- m0,r2 , where 
the shower starting scale is μstart (i.e. SCALUP when 
reading LHE files, and  Info.QFac() otherwise), r the 
radiating parton, and s the recoiling particle that would have been 
used in the local recoil scheme. This option is only used if wimpy showers are 
enabled. 
   
 

 
The global-recoil machinery does not work well with rescattering in the 
MPI machinery, since then the recoiling system is not uniquely defined. 
MultipartonInteractions:allowRescatter = off by default, 
so this is not a main issue. If both options are switched on, 
rescattering will only be allowed to kick in after the global recoil 
has ceased to be active, i.e. once the nMaxGlobalRecoil 
limit has been exceeded. This should not be a major conflict, 
since rescattering is mainly of interest at later stages of the 
downwards pT evolution. 
 

 
Further, it is strongly recommended to set 
TimeShower:MEcorrections = off (not default!), i.e. not 
to correct the emission probability to the internal matrix elements. 
The internal ME options do not cover any cases relevant for a multibody 
recoiler anyway, so no guarantees are given what prescription would 
come to be used. Instead, without ME corrections,  a process-independent 
emission rate is obtained, and  user hooks 
can provide the desired process-specific rejection factors. 
  

Radiation off octet onium states
 
 
In the current implementation, charmonium and bottomonium production 
can proceed either through colour singlet or colour octet mechanisms, 
both of them implemented in terms of 2 → 2 hard processes 
such as g g → (onium) g. 
In the former case the state does not radiate and the onium therefore 
is produced in isolation, up to normal underlying-event activity. In 
the latter case the situation is not so clear, but it is sensible to 
assume that a shower can evolve. (Assuming, of course, that the 
transverse momentum of the onium state is sufficiently high that 
radiation is of relevance.) 
 

 
There could be two parts to such a shower. Firstly a gluon (or even a 
quark, though less likely) produced in a hard 2 → 2 process 
can undergo showering into many gluons, whereof one branches into the 
heavy-quark pair. Secondly, once the pair has been produced, each quark 
can radiate further gluons. This latter kind of emission could easily 
break up a semibound quark pair, but might also create a new semibound 
state where before an unbound pair existed, and to some approximation 
these two effects should balance in the onium production rate. 
The showering "off an onium state" as implemented here therefore should 
not be viewed as an accurate description of the emission history 
step by step, but rather as an effective approach to ensure that the 
octet onium produced "in the hard process" is embedded in a realistic 
amount of jet activity. 
Of course both the isolated singlet and embedded octet are likely to 
be extremes, but hopefully the mix of the two will strike a reasonable 
balance. However, it is possible that some part of the octet production 
occurs in channels where it should not be accompanied by (hard) radiation. 
Therefore reducing the fraction of octet onium states allowed to radiate 
is a valid variation to explore uncertainties. 
 

 
If an octet onium state is chosen to radiate, the simulation of branchings 
is based on the assumption that the full radiation is provided by an 
incoherent sum of radiation off the quark and off the antiquark of the 
onium state. Thus the splitting kernel is taken to be the normal 
q → q g one, multiplied by a factor of two. Obviously this is 
a simplification of a more complex picture, averaging over factors pulling 
in different directions. Firstly, radiation off a gluon ought 
to be enhanced by a factor 9/4 relative to a quark rather than the 2 
now used, but this is a minor difference. Secondly, our use of the 
q → q g branching kernel is roughly equivalent to always 
following the harder gluon in a g → g g branching. This could 
give us a bias towards producing too hard onia. A soft gluon would have 
little phase space to branch into a heavy-quark pair however, so the 
bias may not be as big as it would seem at first glance. Thirdly, 
once the gluon has branched into a quark pair, each quark carries roughly 
only half of the onium energy. The maximum energy per emitted gluon should 
then be roughly half the onium energy rather than the full, as it is now. 
Thereby the energy of radiated gluons is exaggerated, i.e. onia become too 
soft. So the second and the third points tend to cancel each other. 
 

 
Finally, note that the lower cutoff scale of the shower evolution depends 
on the onium mass rather than on the quark mass, as it should be. Gluons 
below the octet-onium scale should only be part of the octet-to-singlet 
transition. 
 

parm   TimeShower:octetOniumFraction   
 (default = 1.; minimum = 0.; maximum = 1.)

Allow colour-octet charmonium and bottomonium states to radiate gluons. 
0 means that no octet-onium states radiate, 1 that all do, with possibility 
to interpolate between these two extremes. 
   
 

parm   TimeShower:octetOniumColFac   
 (default = 2.; minimum = 0.; maximum = 4.)

The colour factor used used in the splitting kernel for those octet onium 
states that are allowed to radiate, normalized to the q → q g 
splitting kernel. Thus the default corresponds to twice the radiation 
off a quark. The physically preferred range would be between 1 and 9/4. 
   
  

Weak showers
 
 
The emission of weak gauge bosons is an integrated part of the initial- 
and final-state radiation, see Weak Showers. 
The following settings are those specifically related to the final-state 
weak radiation, while common settings are found in the 
Weak Showers description. 
 

flag   TimeShower:weakShower   
 (default = off)

Allow a weak shower, yes or no. 
   
 

mode   TimeShower:weakShowerMode   
 (default = 0; minimum = 0; maximum = 2)

Determine which branchings are allowed. 

option  0 :  both W^+- and Z^0 branchings. 
   

option  1 :  only W^+- branchings.    

option  2 :  only Z^0 branchings.    
   
 

parm   TimeShower:pTminWeak   
 (default = 1.0; minimum = 0.1; maximum = 2.0)

Parton shower cut-off pT for weak branchings. 
   
 

Further variables
 
 
There are several possibilities you can use to switch on or off selected 
branching types in the shower, or in other respects simplify the shower. 
These should normally not be touched. Their main function is for 
cross-checks. 
 

flag   TimeShower:QCDshower   
 (default = on)

Allow a QCD shower, i.e. branchings q → q g, 
g → g g and g → q qbar; on/off = true/false. 
   
 

mode   TimeShower:nGluonToQuark   
 (default = 5; minimum = 0; maximum = 5)

Number of allowed quark flavours in g → q qbar branchings 
(phase space permitting). A change to 4 would exclude 
g → b bbar, etc. 
   
 

mode   TimeShower:weightGluonToQuark   
 (default = 1; minimum = 1; maximum = 8)

Different options to assign kinematics distributions and weights 
for g → q qbar branchings, notably for charm and bottom 
quarks. These options also have the corresponding effect on 
gamma → f fbar branchings.
Notation: r_q = m_q^2/m_qq^2, beta = sqrt(1 - 4r_q), with 
m_q the quark mass and m_qq the q qbar pair 
invariant mass. The scale factor k is described below, 
TimeShower:scaleGluonToQuark.

option  1 : same splitting kernel (1/2) (z^2 + (1-z)^2) for 
massive as massless quarks, only with an extra beta phase 
space factor.   

option  2 : a splitting kernel 
(beta/2) (z^2 + (1-z)^2 + 8r_q z(1-z)).  

option  3 : a splitting kernel z^2 + (1-z)^2 + 8r_q z(1-z),
normalized so that the z-integrated rate is
(beta/3) (1 + r/2).  

option  4 : same as 3, but additionally a suppression factor
(1 - m_qq^2/m_dipole^2)^3, which reduces the rate of high-mass 
q qbar pairs.  

option  5 : same as 1, but reweighted to an alpha_s(k m_qq^2)
rather than the normal alpha_s(pT^2).  

option  6 : same as 2, but reweighted to an alpha_s(k m_qq^2)
rather than the normal alpha_s(pT^2).  

option  7 : same as 3, but reweighted to an alpha_s(k m_qq^2)
rather than the normal alpha_s(pT^2).  

option  8 : same as 4, but reweighted to an alpha_s(k m_qq^2)
rather than the normal alpha_s(pT^2).  
   
 

parm   TimeShower:scaleGluonToQuark   
 (default = 1.0; minimum = 0.25; maximum = 1.0)

Extra scale parameter k for TimeShower:weightGluonToQuark
options 5 - 8. Comes on top of TimeShower:renormMultFac, which
affects alpha_s(pT^2) alike.
   


flag   TimeShower:QEDshowerByQ   
 (default = on)

Allow quarks to radiate photons, i.e. branchings q → q gamma; 
on/off = true/false. 
   
 

flag   TimeShower:QEDshowerByL   
 (default = on)

Allow leptons to radiate photons, i.e. branchings l → l gamma; 
on/off = true/false. 
   
 

flag   TimeShower:QEDshowerByGamma   
 (default = on)

Allow photons to branch into lepton or quark pairs, i.e. branchings 
gamma → l+ l- and gamma → q qbar; 
on/off = true/false. 
   
 

mode   TimeShower:nGammaToQuark   
 (default = 5; minimum = 0; maximum = 5)

Number of allowed quark flavours in gamma → q qbar branchings 
(phase space permitting). A change to 4 would exclude 
g → b bbar, etc. 
   
 

mode   TimeShower:nGammaToLepton   
 (default = 3; minimum = 0; maximum = 3)

Number of allowed lepton flavours in gamma → l+ l- branchings 
(phase space permitting). A change to 2 would exclude 
gamma → tau+ tau-, and a change to 1 also 
gamma → mu+ mu-. 
   
 

flag   TimeShower:MEcorrections   
 (default = on)

Use of matrix element corrections where available; on/off = true/false. 
   
 

flag   TimeShower:MEafterFirst   
 (default = on)

Use of matrix element corrections also after the first emission, 
for dipole ends of the same system that did not yet radiate. 
Only has a meaning if MEcorrections above is 
switched on. 
   
 

flag   TimeShower:phiPolAsym   
 (default = on)

Azimuthal asymmetry induced by gluon polarization; on/off = true/false. 
   
 

flag   TimeShower:recoilToColoured   
 (default = on)

In the decays of coloured resonances, say t → b W, it is not 
possible to set up dipoles with matched colours. Originally the 
b radiator therefore has W as recoiler, and that 
choice is unique. Once a gluon has been radiated, however, it is 
possible either to have the unmatched colour (inherited by the gluon) 
still recoiling against the W (off), or else 
let it recoil against the b also for this dipole 
(on). Before version 8.160 the former was the only 
possibility, which could give unphysical radiation patterns. It is 
kept as an option to check backwards compatibility. The same issue 
exists for QED radiation, but obviously is less significant. Consider 
the example W → e nu, where originally the nu 
takes the recoil. In the old (off) scheme the nu 
would remain recoiler, while in the new (on) instead 
each newly emitted photon becomes the new recoiler. 
   
 

flag   TimeShower:useFixedFacScale   
 (default = off)

Allow the possibility to use a fixed factorization scale, set by 
the parm below. This option is unphysical and only 
intended for toy-model and debug studies. 
   
 

parm   TimeShower:fixedFacScale   
 (default = 100.; minimum = 1.)

The fixed factorization scale, in GeV, that would be used in the 
evaluation of parton densities if the flag above is on. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/MasterSwitches.html0000644000175000017500000002331512357553535017645 0ustar  sunsun

Master Switches




 

Master Switches
 
 
Sometimes it may be convenient to omit certain aspects of the event 
generation chain. This cannot be motivated in a full-blown production 
run, but can often be convenient for own understanding and for 
debug purposes. The flags on this page allow just that. 
 

 
The event generation is subdivided into three levels: the process 
level, the parton level and the hadron level, and flags are grouped 
accordingly. 
 

Process Level
 
 
The ProcessLevel class administrates the initial step of 
the event generation, wherein the basic process is selected. Currently 
this is done either using some of the internal processes, or with 
Les Houches Accord input. 
 

 
There could not be a complete event without an initial process, so 
it would not be a normal action to switch off this step. Furthermore, 
without a process set, it is also not possible to carry out the tasks 
on the parton level. It is still possible, however, to hadronize 
a parton-level configuration provided by some external program. 
 

flag   ProcessLevel:all   
 (default = on)

If off, do not attempt to carry out any generation at all on the 
process level. For the parton level only final-state radiation 
is possible, using the Pythia::forceTimeShower(...) method. 
Do allow parton configurations stored in the event record to hadronize 
and hadrons to decay, however, as set by the HadronLevel 
switches. Further details are found 
here. 
   
 

 
For ProcessLevel:all = on one part of the event generation 
on this level may be switched off individually: 
 

flag   ProcessLevel:resonanceDecays   
 (default = on)

Master switch to allow resonance decays; on/off = true/false. 
Normal hadrons and leptons do not count as resonances, so this is 
aimed specifically towards Z^0, W^+-, t, h^0 and similar 
objects beyond the Standard Model. Do not use this option if you 
may produce coloured resonances and intend to allow hadronization, 
since currently the program would not know how to handle this. 
   
 

 
It is possible to stop the generation immediately after the basic 
process has been selected, see PartonLevel:all below. 
 

PartonLevel
 
 
The PartonLevel class administrates the middle step of the 
event generation, i.e. the evolution from an input (hard) process from 
ProcessLevel, containing a few partons only, to a complete 
parton-level configuration to be handed on to HadronLevel. 
This step involves the application of initial- and final-state radiation, 
multiparton interactions and the structure of beam remnants. 
 

flag   PartonLevel:all   
 (default = on)

If off then stop the generation after the hard process has been 
generated, but before the parton-level and hadron-level steps. 
The process record is filled, but the event 
one is then not. 
   
 

 
For PartonLevel:all = on some parts of the event generation 
on this level may be switched off individually: 
 

flag   PartonLevel:MPI   
 (default = on)

Master switch for multiparton interactions; on/off = true/false. 
Further options are found here. 
   
 

flag   PartonLevel:ISR   
 (default = on)

Master switch for initial-state radiation; on/off = true/false. 
Further options are found here. 
   
 

flag   PartonLevel:FSR   
 (default = on)

Master switch for final-state radiation; on/off = true/false. 
Further options are found here. 
If you leave this switch on, the following two switches allow 
more detailed control to switch off only parts of the showers. 
   
 

flag   PartonLevel:FSRinProcess   
 (default = on)

Switch for final-state radiation in association with the hard process 
itself; on/off = true/false. In addition PartonLevel:FSR 
must be on for these emissions to occur. 
   
 

flag   PartonLevel:FSRinResonances   
 (default = on)

Master switch for final-state radiation in any resonance decays 
subsequent to the hard process itself; on/off = true/false. In addition 
PartonLevel:FSR must be on for these emissions to occur. 
   
 

flag   PartonLevel:earlyResDec   
 (default = off)

If on then do resonance decays early, before beam handling including 
colour reconnection. If off then decays are done afterwards, and so 
are unaffected by colour reconnection. The early-decay option is still 
primitive, for some first studies. Eventually the choice should be 
made individually for each resonance based on lifetime (and the 
environment). 
   
 

 
Switching off all the above MPI/ISR/FSR switches is not equivalent 
to setting PartonLevel:all = off. In the former case a 
minimal skeleton of parton-level operations are carried out, such as 
tying together the scattered partons with the beam remnants into colour 
singlets, and storing this information in the event record. 
It is therefore possible to go on and hadronize the event, if desired. 
In the latter case no operations at all are carried out on the 
parton level, and therefore it is also not possible to go on to the 
hadron level. 
 

flag   PartonLevel:Remnants   
 (default = on)

Master switch for addition of beam remnants; on/off = true/false. 
Only intended for very special applications, and cannot be used to 
generate complete events. Specifically, unlike the other switches above, 
the program will complain and possibly crash unlike you also set 
HadronLevel:all = off and Check:event = off. 
   
 

 
It is possible to stop the generation immediately after the parton level 
has been set up, see HadronLevel:all below. 
 

HadronLevel
 
 
The HadronLevel class administrates the final step of the 
event generation, wherein the partonic configuration from 
PartonLevel is hadronized, including string fragmentation 
and secondary decays. 
 

 
Most of the code in this class itself deals with subdividing the partonic 
content of the event into separate colour singlets, that can be 
treated individually by the string fragmentation machinery. When a 
junction and an antijunction are directly connected, it also breaks 
the string between the two, so that the topology can be reduced back 
to two separate one-junction systems, while still preserving the 
expected particle flow in the junction-junction string region(s). 
 

flag   HadronLevel:all   
 (default = on)

If off then stop the generation after the hard process and 
parton-level activity has been generated, but before the 
hadron-level steps. 
   
 

 
For HadronLevel:all = on some parts of the event generation 
on this level may be switched off individually: 
 

flag   HadronLevel:Hadronize   
 (default = on)

Master switch for hadronization; on/off = true/false. 
Further options are found here. 
   
 

flag   HadronLevel:Decay   
 (default = on)

Master switch for decays; on/off = true/false. 
Further options are found here. 
   
 

flag   HadronLevel:BoseEinstein   
 (default = off)

Master switch for the simulation of Bose-Einstein effects; 
on/off = true/false. Further options are found 
here. 
   
 

Printing
 
 

flag   Print:quiet   
 (default = off)

Can be set on to avoid the printing during program execution, to the 
largest extent possible. This flag acts by setting the relevant values 
for Init:showProcesses, 
Init:showMultipartonInteractions, 
Init:showChangedSettings, 
Init:showAllSettings, 
Init:showChangedParticleData, 
Init:showChangedResonanceData, 
Init:showAllParticleData, 
Init:showOneParticleData, 
Next:numberCount, 
Next:numberShowLHA, 
Next:numberShowInfo, 
Next:numberShowProcess, and 
Next:numberShowEvent. 
The change is to off or 0 for Print:quiet = off, 
and restores to the respective default value for = on. 
Those changes take effect immediately, so individual settings can be 
changed afterwards. 
   
 
 


 
 
pythia8-8.1.86.orig/htmldoc/GUIDELINES0000644000175000017500000001105212357054725015355 0ustar  sunsun
               MCNET GUIDELINES

      for Event Generator Authors and Users


    PREAMBLE

This generator has been developed as part of an academic research
project and is the result of many years of work by the authors.
Proper academic recognition is a requirement for its continued
development.

The components of the program have been developed to work together
as a coherent physics framework. We believe that the creation of
separately maintained forks or piecewise distribution of individual
parts would diminish their scientific value.

The authors are convinced that software development in a scientific
context requires full availability of all source code, to further
progress and to allow local modifications to meet the specific
requirements of the individual user.

Therefore we have decided to release this program under the
GNU General Public License (GPL) version 2. This ensures
that the source code will be available to you and grants you the
freedom to use and modify the program. You can redistribute your
modified versions as long as you retain the GPL and respect existing
copyright notices (see the file 'COPYING' for details).

By using the GPL, we entrust you with considerable freedom and expect
you to use it wisely, since the GPL does not address the issues in
the first two paragraphs. To remedy this shortcoming, we have
formulated the following guidelines relevant for the distribution
and usage of event generator software in an academic setting.


    GUIDELINES

1) The integrity of the program should be respected.
    -------------------------------------------------

1.1) Suspected bugs and proposed fixes should be reported back to the
    original authors to be considered for inclusion in the standard
    distribution.  No independently developed and maintained forks
    should be created as long as the original authors actively work on
    the program.

1.2) The program should normally be redistributed in its entirety.
    When there are special reasons, an agreement should be sought with
    the original authors to redistribute only specific parts. This
    should be arranged such that the redistributed parts remain
    updated in step with the standard distribution.

1.3) Any changes in the code must be clearly marked in the source
   (reason, author, date) and documented. If any modified version is
   redistributed it should be stated at the point of distribution
   (download link) that it has been modified and why.

1.4) If a significant part of the code is used by another program,
    this should be clearly specified in that program's documentation and
    stated at its point of distribution.

1.5) Copyright information and references may not be removed.
    Copyright-related program messages may not be altered and must be
    printed even if only a part of the program is used. Adding further
    messages specifying any modifications is encouraged.


2) The program and its physics should be properly cited when used for
    academic publications
    ------------------------------------------------------------------

2.1) The main software reference as designated by the program authors
    should always be cited.

2.2) In addition, the original literature on which the program is based
    should be cited to the extent that it is of relevance for a study,
    applying the same threshold criteria as for other literature.

2.3) When several programs are combined, they should all be mentioned,
    commensurate with their importance for the physics study at hand.

2.4) To make published results reproducible, the exact versions of the
    codes that were used and any relevant program and parameter
    modifications should be spelled out.


    POSTSCRIPT

The copyright license of the software is the GPL v2 alone, therefore
the above guidelines are not legally binding. However, we reserve the
right to criticize offenders. The guidelines should always be combined
with common sense, for interpretation and for issues not covered.
Enquiries regarding the guidelines and related issues are encouraged
and should be directed to the authors of the program.

Please note that the program, including all its code and documentation,
is intended for academic use and is delivered "as is" to be used at 
your own risk, without any guarantees.

----------------------------------------------------------------------

These guidelines were edited by Nils Lavesson and David Grellscheid
for the MCnet collaboration, which has approved and agreed to respect
them.  MCnet is a Marie Curie Research Training Network funded under
Framework Programme 6 contract MRTN-CT-2006-035606.

pythia8-8.1.86.orig/htmldoc/POWHEGMerging.html0000644000175000017500000001561712357553536017211 0ustar  sunsun

POWHEG Merging




 

POWHEG Merging
 
 
POWHEG [Nas04] in its character is very much like a parton shower, 
with a Sudakov factor arising from the ordering of emissions. Both 
POWHEG-BOX [Ali10] and PYTHIA are based on a combined evolution 
of ISR and FSR in pT-related "hardness" variables, and thus are 
kindred spirits. The hardness definitions differ, however. Frequently we 
will therefore need to distinguish between POWHEG-hardness and 
PYTHIA-hardness in the following. 


 
The simplest merging solution, of continuing the PYTHIA shower at the LHA 
scale hardness where POWHEG leaves off, is obtained if you 
set SpaceShower:pTmaxMatch = 1 and 
TimeShower:pTmaxMatch = 1. But then mismatches are bound to 
happen: some regions may be doublecounted, while others may not be counted 
at all. Depending on the choice of hardness, such mismatches might be small. 
  

 
There are no guarantees, however, so a (hopefully) more accurate merging
scheme is coded up in the examples/main31 files. Here we would 
like to discuss the (POWHEG-specific) input settings for 
main31.cc, and attempt to give some recommendations on how to 
use the main program to perform a matching of POWHEG-BOX with PYTHIA 8. 
The main source of documentation is main31.cmnd, however. 
 

 
POWHEG-BOX inputs contain Born-like events (with no resolved emission) and 
Real-type events (containing an additional parton). The mismatch between 
POWHEG-hardness and PYTHIA-hardness can be minimised if the PYTHIA shower 
knows 

a) The POWHEG-hardness criterion (through which the separation of Born- 
and Real-like events is defined), and 

b) The POWHEG-hardness value (which separates Born- and Real-like 
events). 

If these definitions are known, then 
PYTHIA can fill missing phase space regions through vetoed showering: let 
the shower sweep over the full phase space, using its PYTHIA-hardness 
ordering, and use the POWHEG-hardness to veto those emissions that POWHEG 
should already have covered. This is only possible since the 
POWHEG-hardness criterion and the shower ordering criterion are very 
similar. In the more general case a truncated showering would be needed
[Nas04]. 
 

 
For vetoed showering, it is necessary to define the POWHEG-hardness criterion 
in main31.cc. In the presence of multiple partons, the definition 
quickly becomes complicated, and allows for different choices. Similar 
decisions have already been made in the implementation of POWHEG, one example 
being the choice in defining which "hardness value" is transferred as 
POWHEG-hardness, e.g. by deciding if the "singular regions" of the FKS or the 
CS approach are used. If the POWHEG-hardness definition were to be changed,
or extended to more objects, the main31.cc code would need to
be modified accordingly.  
 

 
main31.cc is designed to be very flexible, and allows access 
to many possible choices. However, this flexibility means that many parameters 
can be changed, potentially leading to confusion. Thus, recommendations might 
prove helpful. All mistakes and inaccuracies rest with the author. 
 

 
We recommend the usage of vetoed showers. This means using 

          POWHEG:veto = 1 

 
This means that PYTHIA will sweep over the full phase space, and apply a veto 
on parton shower emissions for which the POWHEG-hardness separation between 
radiator and emission is above the POWHEG-hardness value of the current input 
event. The variation POWHEG:veto = 0 can be used to assess 
how much phase space is under- or double-counted. 


 
To define the POWHEG-hardness criterion, use 

          POWHEG:pTdef = 1 

 
Other values can be used by experts to assess variations. 


 
Both POWHEG-BOX and PYTHIA 8 generate emissions through a parton shower 
step, meaning that both programs have a clear definition of a radiator 
that emits particles, which is very similar (if not identical). 
To fix the ambiguity if the radiator or the emitted particle should be 
called "the emission", use 

          POWHEG:emitted = 0 

 
More complicated choices can be used by experts. For instance, use 
POWHEG:emitted = 2 to check the POWHEG-hardness of both 
radiator and emitted. 


 
To exhaustively fix the criterion by which to veto parton shower 
emissions, it is important to decide which partons/parton pairs 
are used to calculate the POWHEG hardness of a PYTHIA 8 emission. 
The minimal and recommended choice is 

          POWHEG:pTemt = 0 

 
This means that only the POWHEG hardness w.r.t the radiating leg is 
checked, and recoil effects are neglected. This prescription should be 
very similar to how a hardness value is assigned to a Real-type event 
in the POWHEG-BOX, since in the (implementation of FKS in the) POWHEG-BOX, 
initial state splittings only have singular regions with the radiating 
initial state parton, and final state splittings only have singular 
regions w.r.t the radiating final state line. Other choices of 
POWHEG:pTemt are available. A warning is that the impact of 
changes can be huge, particularly for inputs with many jets. Other choices 
therefore should only be made by experts, and a high degree of caution 
is advised. 
 

 
It is furthermore necessary to decide on a value of the hardness criterion. 
POWHEG-BOX transfers this value in the SCALUP member of 
Les Houches Events, and we recommend using this value by setting 

          POWHEG:pThard = 0 

 
As a variation, in order to estimate the uncertainty due this choice of 
POWHEG-hardness definition, it can be useful to also check 
POWHEG:pThard = 2. This will recalculate the POWHEG-hardness 
value as promoted in [Ole12]. 
 

 
Finally, you need to decide how many emissions the vetoed shower should 
check after an allowed emission has been constructed. If the hardness 
definitions in POWHEG-BOX and PYTHIA 8 where identical, all checking could 
be stopped after the first allowed PS emission. To be prudent, we 
recommend setting 

          POWHEG:vetoCount = 3 

 
which will then check up to three allowed emissions. Higher values of 
POWHEG:vetoCount have not lead to visible differences 
for the processes which have been tested.  



 
 
pythia8-8.1.86.orig/htmldoc/MadGraph5Processes.html0000644000175000017500000001335712357553536020345 0ustar  sunsun

MadGraph 5 Processes




 

MadGraph 5 Processes
 
 
By far the easiest way to implement new processes into PYTHIA 8 is 
by using the matrix-element generator MadGraph 5. This program has 
an option to output the results of a matrix-element calculation 
as a set of PYTHIA 8 C++ classes (plus further auxiliary code), 
that can then be linked and used as 
semi-internal processes, 
meaning they are handled identically with normal internal ones. 
This way, MadGraph 5 can be used to implement processes from 
any model that can be written in  terms of a Lagrangian. Any 
2 → 1, 2 → 2 and 2 → 3 processes 
can be implemented, the limit being set by the absence of efficient 
phase space generator algorithms for higher multiplicities in 
PYTHIA. Features such as s-channel resonances are 
automatically implemented in the process classes.  Besides the process 
library and necessary model files, also an example main program is 
generated for each set of processes, which can be easily modified to 
perform the desired analyses. 
 

 
In order to create a PYTHIA 8 process library with MadGraph 5, first 
download the MadGraph 5 package from 
 
https://launchpad.net/madgraph5, and untar the package. You can 
then specify the location of your pythia81xx directory 
in the file input/mg5_configuration.txt: 

pythia8_path = ./pythia81xx 

The location can be either relative (to the directory 
MadGraph5_v_x_x_x/.) or absolute. 
 

 
For any model that is already implemented in the MadGraph 5 package, 
you can directly use the model. Start the MadGraph 5 interface 
bin/mg5, and do: 

 
import model model_name 
generate your_process_in_mg5_syntax 
add process your_next_process_in_mg5_syntax 
... 
output pythia8 [path_to_pythia81xx_directory] 

 
 

 
For examples of MG5 process syntax, please see 
http://madgraph.phys.ucl.ac.be/EXAMPLES/example_mg5.html 
or type help generate. If you specified the path to the 
pythia81xx directory in the mg5_configuration 
file, you do not need to enter it in the output command. 
 

 
If your preferred model is found on the FeynRules model wiki page, 
http://feynrules.irmp.ucl.ac.be/wiki/ModelDatabaseMainPage, 
download the UFO (Universal FeynRules Output) tar file for the model, 
untar in the models/ directory, and use as above. 
 

 
If you want to implement a new model which has not yet been implemented, 
you can do this either using the Mathematica package FeynRules (see 
 
http://feynrules.irmp.ucl.ac.be/) or directly edit the UFO model 
files of the most similar model in the models/ directory. 
 

 
The resulting output from the output pythia8 command is: 

     

  • A process directory Processes_modelname with the 
model information and the files needed for all processes defined for 
this model, placed in the pythia81xx main directory. 
The model files are Parameters_modelname.h/cc and 
HelAmps_modelname.h/cc, and the process files for each 
process class (with the same mass, spin and color of the initial/final 
state particles) are called Sigma_modelname_processname.h/cc. 
The directory also contains a makefile and a model parameter 
file param_card_modelname.dat.
    •  

  • An example main program in the directory examples/ 
(in the pythia81xx main directory) called 
main_modelname_N.cc and a corresponding makefile 
Makefile_modelname_N. This main program links in the 
process classes in the process directory described above. To run the 
example main program, just go to the examples/ 
directory and run 

    make -f Makefile_modelname_N 

    or run launch directly inside the MadGraph 5 
command line interface.
    •  

 
 

 
Note that in order for PYTHIA 8 to be able to automatically decay any 
new particles, it is necessary to specify the branching ratios of the 
particles in the param_card file, see 
[Ska04,Alw07] for details. 
 

 
For further technical details, please see the MadGraph 5 release paper 
[Alw11] and the 
semi-internal processes page. 
 

 
Of course, as with MadGraph 4, MadGraph 5 can also output 
files of parton-level events according to the 
LHEF standard, 
that can be read in and processed further by PYTHIA 8. 
The advantage is that then the MadGraph 5 phase space generator 
can be used, which opens up for processes with more than three 
particles in the final state. The disadvantages are that it is less 
easy to mix and match with existing PYTHIA processes, and that one 
needs to regenerate and store large LHEF files for different 
kinematics cuts or parameter values. 
 

 
Please cite the MadGraph 5 release paper [Alw11] if you use 
MadGraph 5 to generate process libraries for PYTHIA 8. 
 


 
 
pythia8-8.1.86.orig/htmldoc/RHadrons.html0000644000175000017500000002024412357553535016416 0ustar  sunsun

R-hadrons




 

R-hadrons
 
 
When a coloured SUSY particle is longer-lived than typical 
hadronization scales, i.e. around c*tau > 1 fm, or equivalently 
width Gamma < 0.2 GeV, it will have time to hadronize into a colour 
singlet hadronic state, a R-hadron. Currently a set of such 
R-hadrons have been implemented for the case of a long-lived 
gluino, stop or sbottom. Needless to say, the normal case would be 
that only one of them will be long-lived enough to form R-hadrons. 
 

 
For simplicity all gluino-mesons are assumed to have light-flavour 
spin 1, since those are the lightest and favoured by spin-state 
counting. Further, all gluino-baryons are bookkept as having 
light-flavour spin 3/2, and flavours are listed in descending order. 
This is more for convenience of notation, however, since the normal 
baryon octet e.g. has no uuu = "p++" state. When a diquark is 
extracted, a mixture of spin 0 and spin 1 is allowed. Names and codes 
are essentially in agreement with the PDG conventions, e.g. 

1000993 R0(~g g) (or gluinoball) 

1009213 R+(~g u dbar) (or gluino-rho+) 

1092214 R+(~g uud) (or gluino-Delta+) 

For internal bookkeeping of momenta, the code 1009002, 
Rtemp(~g q), is used to denote the intermediate 
state formed when only one of the two string pieces attached to 
the gluino has broken. 
 

 
For the stop- and sbottom-hadrons the spin counting is simpler, 
since it is entirely given by the constituent quark or diquark spin. 
Again names and codes follow PDG conventions, e.g. 

1000612 R+(~t dbar) 

1006211 R+(~t ud0) 
 

 
The spin and electromagnetic charge of the new particle plays only 
a minor role in the hadronization process, that can be neglected 
to first approximation. Therefore it is possible to use the same 
R-hadrons framework instead for other BSM scenarios with long-lived 
coloured particles, e.g. with massive extra-dimensions copies 
of gluons and quarks, or with leptoquarks. This can be regulated by 
the switches below. Note that the codes and names of the R-hadrons 
is not changed when the heavy particle involved is switched, for 
reasons of administrative simplicity. R-hadron mass spectra and 
other relevant particle data is automatically updated to reflect 
the change, however. 
 

flag   RHadrons:allow   
 (default = off)

Allows the gluino, stop and sbottom to hadronize if their respective 
widths are below the limit RHadrons:maxWidth. 
   
 

parm   RHadrons:maxWidth   
 (default = 0.2; minimum = 0.0; maximum = 1.0)

The maximum width of the gluino for which it is possible to form 
R-hadrons, provided that RHadrons:allow is on. 
   
 

mode   RHadrons:idGluino   
 (default = 1000021)

The gluino identity code. For other scenarios than SUSY this code 
could be changed to represent another long-lived uncharged colour 
octet particle, that then would be treated in the same spirit. 
Could be set to 0 to forbid any gluino R-hadron formation even when 
the above two criteria, RHadrons:allow 
and RHadrons:maxWidth, are met. 
   
 

mode   RHadrons:idStop   
 (default = 1000006)

The lightest stop identity code. For other scenarios than SUSY this 
code could be changed to represent another long-lived charge 2/3 
colour triplet particle, that then would be treated in the same 
spirit. As above it could be set to 0 to forbid any stop R-hadron 
formation. 
   
 

mode   RHadrons:idSbottom   
 (default = 1000005)

The lightest sbottom identity code. For other scenarios than SUSY this 
code could be changed to represent another long-lived charge -1/3 
colour triplet particle, that then would be treated in the same 
spirit. As above it could be set to 0 to forbid any sbottom R-hadron 
formation. 
   
 

flag   RHadrons:allowDecay   
 (default = on)

Allows the R-hadrons to decay or not. If the gluino/stop/sbottom is 
stable or too long-lived to decay inside the detector this switch 
has no real function, since then no decays will be performed anyway. 
If the sparticle is so short-lived that it decays before reaching 
the beam pipe then having the decay on is the logical choice. 
So the interesting region is when the decays happens after the 
R-hadron has passed through part of the detector, and changed its 
momentum and quite possibly its flavour content before it is to 
decay. Then normal decays should be switched off, and the R-hadron 
tracked through matter by a program like GEANT 
[Kra04,Mac07]. After that, the new R-hadron info can be 
overwritten into the event record and the 
Pythia::forceRHadronDecay() method can be called 
to force this modified R-hadron to decay. 
   
 

flag   RHadrons:setMasses   
 (default = on)

Use simple mass formulae to construct all available R-hadron masses 
based on the currently initialized gluino/squark masses and the 
constituent masses of the other partons in the hadron. If you switch 
this off, it is your responsibility to set each of the R-hadron masses 
on your own, and set them in an internally consistent way. If you 
mess up on this you may generate accordingly crazy results. 
Specifically, it is to be assumed that none of the R-hadrons has a 
mass below its constituent sparticle, i.e. that the light degrees 
of freedom and the additional confinement gluon field gives a net 
positive contribution to the R-hadron mass. 
   
 

parm   RHadrons:probGluinoball   
 (default = 0.1; minimum = 0.0; maximum = 1.0)

The fraction of produced gluino R-hadrons that are contain a "valence" 
gluon, with the rest containing a meson or baryon quark flavour content. 
   
 

parm   RHadrons:mOffsetCloud   
 (default = 0.2; minimum = 0.0)

Extra mass (in GeV) added to each of the one or two extra constituent 
masses in an R-hadron, to calculate the mass of a R-hadron. The same 
offset is also used when the R-hadron momentum and mass is split 
between the squark or gluino and the one or two light (di)quarks, 
one for a squark and two for a gluino. Thus once or twice this amount 
represents a part of the nominal squark or gluino mass that will not 
decay weakly, since it is taken to correspond to the cloud of gluons 
that surround the squark or gluino. 
   
 

parm   RHadrons:mCollapse   
 (default = 1.0; minimum = 0.0)

A colour singlet system with an invariant mass less than this amount, 
above the R-hadron mass with the given flavour content, is assumed to 
collapse to this single R-hadron, whereas a full fragmentation handling 
is applied above this mass. 
   
 

parm   RHadrons:diquarkSpin1   
 (default = 0.5; minimum = 0.0; maximum = 1.0)

Probability that a diquark extracted from the flavour code of a gluino 
R-hadron should be assigned spin 1, with the rest being spin 0. Does 
not apply for two identical quarks, where spin 1 is only possibility. 
Note that gluino R-hadron codes for simplicity are assigned as if spin 
is 1 always, and so give no guidance. For stop and sbottom the diquark 
spin is preserved in the particle code, so there is no corresponding 
issue. 
   
 


 
 
 
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pythia8-8.1.86.orig/htmldoc/COPYING0000644000175000017500000004310312357054723015035 0ustar  sunsun		    GNU GENERAL PUBLIC LICENSE
		       Version 2, June 1991

 Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
 Everyone is permitted to copy and distribute verbatim copies
 of this license document, but changing it is not allowed.

			    Preamble

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   TERMS AND CONDITIONS FOR COPYING, DISTRIBUTION AND MODIFICATION

  0. This License applies to any program or other work which contains
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  1. You may copy and distribute verbatim copies of the Program's
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These requirements apply to the modified work as a whole.  If
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	    How to Apply These Terms to Your New Programs

  If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.

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to attach them to the start of each source file to most effectively
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    Copyright (C)   

    This program is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
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    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
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Also add information on how to contact you by electronic and paper mail.

If the program is interactive, make it output a short notice like this
when it starts in an interactive mode:

    Gnomovision version 69, Copyright (C) year name of author
    Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
    This is free software, and you are welcome to redistribute it
    under certain conditions; type `show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License.  Of course, the commands you use may
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mouse-clicks or menu items--whatever suits your program.

You should also get your employer (if you work as a programmer) or your
school, if any, to sign a "copyright disclaimer" for the program, if
necessary.  Here is a sample; alter the names:

  Yoyodyne, Inc., hereby disclaims all copyright interest in the program
  `Gnomovision' (which makes passes at compilers) written by James Hacker.

  , 1 April 1989
  Ty Coon, President of Vice

This General Public License does not permit incorporating your program into
proprietary programs.  If your program is a subroutine library, you may
consider it more useful to permit linking proprietary applications with the
library.  If this is what you want to do, use the GNU Lesser General
Public License instead of this License.
pythia8-8.1.86.orig/htmldoc/BeamRemnants.html0000644000175000017500000004046412357553535017260 0ustar  sunsun

Beam Remnants




 

Beam Remnants
 
 

Introduction
 
 
The BeamParticle class contains information on all partons 
extracted from a beam (so far). As each consecutive multiparton interaction 
defines its respective incoming parton to the hard scattering a 
new slot is added to the list. This information is modified when 
the backwards evolution of the spacelike shower defines a new 
initiator parton. It is used, both for the multiparton interactions 
and the spacelike showers, to define rescaled parton densities based 
on the x and flavours already extracted, and to distinguish 
between valence, sea and companion quarks. Once the perturbative 
evolution is finished, further beam remnants are added to obtain a 
consistent set of flavours. The current physics framework is further 
described in [Sjo04]. 
 

 
The introduction of rescattering 
in the multiparton interactions framework further complicates the 
processing of events. Specifically, when combined with showers, 
the momentum of an individual parton is no longer uniquely associated 
with one single subcollision. Nevertheless the parton is classified 
with one system, owing to the technical and administrative complications 
of more complete classifications. Therefore the addition of primordial 
kT to the subsystem initiator partons does not automatically 
guarantee overall pT conservation. Various tricks are used to 
minimize the mismatch, with a brute force shift of all parton 
pT's as a final step. 
 

 
Much of the above information is stored in a vector of 
ResolvedParton objects, which each contains flavour and 
momentum information, as well as valence/companion information and more. 
The BeamParticle method list() shows the 
contents of this vector, mainly for debug purposes. 
 

 
The BeamRemnants class takes over for the final step 
of adding primordial kT to the initiators and remnants, 
assigning the relative longitudinal momentum sharing among the 
remnants, and constructing the overall kinematics and colour flow. 
This step couples the two sides of an event, and could therefore 
not be covered in the BeamParticle class, which only 
considers one beam at a time. 
 

 
The methods of these classes are not intended for general use, 
and so are not described here. 
 

 
In addition to the parameters described on this page, note that the 
choice of parton densities is made 
in the Pythia class. Then pointers to the pdf's are handed 
on to BeamParticle at initialization, for all subsequent 
usage. 
 

Primordial kT
 
 
The primordial kT of initiators of hard-scattering subsystems 
are selected according to Gaussian distributions in p_x and 
p_y separately. The widths of these distributions are chosen 
to be dependent on the hard scale of the central process and on the mass 
of the whole subsystem defined by the two initiators: 

 
sigma = (sigma_soft * Q_half + sigma_hard * Q) / (Q_half + Q) 
  * m / (m_half + m) 

 
Here Q is the hard-process renormalization scale for the 
hardest process and the pT scale for subsequent multiparton 
interactions, m the mass of the system, and 
sigma_soft, sigma_hard, Q_half and 
m_half parameters defined below. Furthermore each separately 
defined beam remnant has a distribution of width sigma_remn, 
independently of kinematical variables. 
 

flag   BeamRemnants:primordialKT   
 (default = on)

Allow or not selection of primordial kT according to the 
parameter values below. 
   
 

parm   BeamRemnants:primordialKTsoft   
 (default = 0.5; minimum = 0.)

The width sigma_soft in the above equation, assigned as a 
primordial kT to initiators in the soft-interaction limit. 
   
 

parm   BeamRemnants:primordialKThard   
 (default = 2.0; minimum = 0.)

The width sigma_hard in the above equation, assigned as a 
primordial kT to initiators in the hard-interaction limit. 
   
 

parm   BeamRemnants:halfScaleForKT   
 (default = 1.; minimum = 0.)

The scale Q_half in the equation above, defining the 
half-way point between hard and soft interactions. 
   
 

parm   BeamRemnants:halfMassForKT   
 (default = 1.; minimum = 0.)

The scale m_half in the equation above, defining the 
half-way point between low-mass and high-mass subsystems. 
(Kinematics construction can easily fail if a system is assigned 
a primordial kT value higher than its mass, so the 
mass-dampening is intended to reduce some troubles later on.) 
   
 

parm   BeamRemnants:primordialKTremnant   
 (default = 0.4; minimum = 0.)

The width sigma_remn, assigned as a primordial kT 
to beam-remnant partons. 
   
 

 
A net kT imbalance is obtained from the vector sum of the 
primordial kT values of all initiators and all beam remnants. 
This quantity is compensated by a shift shared equally between 
all partons, except that the dampening factor m / (m_half + m) 
is again used to suppress the role of small-mass systems. 
 

 
Note that the current sigma definition implies that 
<pT^2> = <p_x^2>+ <p_y^2> = 2 sigma^2. 
It thus cannot be compared directly with the sigma 
of nonperturbative hadronization, where each quark-antiquark 
breakup corresponds to <pT^2> = sigma^2 and only 
for hadrons it holds that <pT^2> = 2 sigma^2. 
The comparison is further complicated by the reduction of 
primordial kT values by the overall compensation mechanism. 
 

flag   BeamRemnants:rescatterRestoreY   
 (default = off)

Is only relevant when rescattering 
is switched on in the multiparton interactions scenario. For a normal 
interaction the rapidity and mass of a system is preserved when 
primordial kT is introduced, by appropriate modification of the 
incoming parton momenta. Kinematics construction is more complicated for 
a rescattering, and two options are offered. Differences between these 
can be used to explore systematic uncertainties in the rescattering 
framework.
 
The default behaviour is to keep the incoming rescattered parton as is, 
but to modify the unrescattered incoming parton so as to preserve the 
invariant mass of the system. Thereby the rapidity of the rescattering 
is modified.
 
The alternative is to retain the rapidity (and mass) of the rescattered 
system when primordial kT is introduced. This is made at the 
expense of a modified longitudinal momentum of the incoming rescattered 
parton, so that it does not agree with the momentum it ought to have had 
by the kinematics of the previous interaction.
 
For a double rescattering, when both incoming partons have already scattered, 
there is no obvious way to retain the invariant mass of the system in the 
first approach, so the second is always used. 
   
 

Colour flow
 
 
The colour flows in the separate subprocesses defined in the 
multiparton-interactions scenario are tied together via the assignment 
of colour flow in the beam remnant. This is not an unambiguous 
procedure, but currently no parameters are directly associated with it. 
However, a simple "minimal" procedure of colour flow only via the beam 
remnants does not result in a scenario in 
agreement with data, notably not a sufficiently steep rise of 
<pT>(n_ch). The true origin of this behaviour and the 
correct mechanism to reproduce it remains one of the big unsolved issues 
at the borderline between perturbative and nonperturbative QCD. 
As a simple attempt, an additional step is introduced, wherein the gluons 
of a lower-pT system are merged with the ones in a higher-pT one. 
 

flag   BeamRemnants:reconnectColours   
 (default = on)

Allow or not a system to be merged with another one. 
   
 

parm   BeamRemnants:reconnectRange   
 (default = 10.0; minimum = 0.; maximum = 10.)

A system with a hard scale pT can be merged with one of a 
harder scale with a probability that is 
pT0_Rec^2 / (pT0_Rec^2 + pT^2), where 
pT0_Rec is reconnectRange times pT0, 
the latter being the same energy-dependent dampening parameter as 
used for multiparton interactions. 
Thus it is easy to merge a low-pT system with any other, 
but difficult to merge two high-pT ones with each other. 
   
 

 
The procedure is used iteratively. Thus first the reconnection probability 
P = pT0_Rec^2 / (pT0_Rec^2 + pT^2) of the lowest-pT 
system is found, and gives the probability for merger with the 
second-lowest one. If not merged, it is tested with the third-lowest one, 
and so on. For the m'th higher system the reconnection 
probability thus becomes (1 - P)^(m-1) P. That is, there is 
no explicit dependence on the higher pT scale, but implicitly 
there is via the survival probability of not already having been merged 
with a lower-pT system. Also note that the total reconnection 
probability for the lowest-pT system in an event with n 
systems becomes 1 - (1 - P)^(n-1). Once the fate of the 
lowest-pT system has been decided, the second-lowest is considered 
with respect to the ones above it, then the third-lowest, and so on. 
 

 
Once it has been decided which systems should be joined, the actual merging 
is carried out in the opposite direction. That is, first the hardest 
system is studied, and all colour dipoles in it are found (including to 
the beam remnants, as defined by the holes of the incoming partons). 
Next each softer system to be merged is studied in turn. Its gluons are, 
in decreasing pT order, inserted on the colour dipole i,j 
that gives the smallest (p_g p_i)(p_g p_j)/(p_i p_j), i.e. 
minimizes the "disturbance" on the existing dipole, in terms of 
pT^2 or Lambda measure (string length). The insertion 
of the gluon means that the old dipole is replaced by two new ones. 
Also the (rather few) quark-antiquark pairs that can be traced back to 
a gluon splitting are treated in close analogy with the gluon case. 
Quark lines that attach directly to the beam remnants cannot be merged 
but are left behind. 
 

 
The joining procedure can be viewed as a more sophisticated variant of 
the one introduced already in [Sjo87]. Clearly it is ad hoc. 
It hopefully captures some elements of truth. The lower pT scale 
a system has the larger its spatial extent and therefore the larger its 
overlap with other systems. It could be argued that one should classify 
individual initial-state partons by pT rather than the system 
as a whole. However, for final-state radiation, a soft gluon radiated off 
a hard parton is actually produced at late times and therefore probably 
less likely to reconnect. In the balance, a classification by system 
pT scale appears sensible as a first try. 
 

 
Note that the reconnection is carried out before resonance decays are 
considered. Colour inside a resonance therefore is not reconnected. 
This is a deliberate choice, but certainly open to discussion and 
extensions at a later stage, as is the rest of this procedure. 
 

Further variables
 
 

mode   BeamRemnants:maxValQuark   
 (default = 3; minimum = 0; maximum = 5)

The maximum valence quark kind allowed in acceptable incoming beams, 
for which multiparton interactions are simulated. Default is that hadrons 
may contain u, d and s quarks, 
but not c and b ones, since sensible 
kinematics has not really been worked out for the latter. 
   
 

mode   BeamRemnants:companionPower   
 (default = 4; minimum = 0; maximum = 4)

When a sea quark has been found, a companion antisea quark ought to be 
nearby in x. The shape of this distribution can be derived 
from the gluon mother distribution convoluted with the 
g → q qbar splitting kernel. In practice, simple solutions 
are only feasible if the gluon shape is assumed to be of the form 
g(x) ~ (1 - x)^p / x, where p is an integer power, 
the parameter above. Allowed values correspond to the cases programmed. 

 
Since the whole framework is approximate anyway, this should be good 
enough. Note that companions typically are found at small Q^2, 
if at all, so the form is supposed to represent g(x) at small 
Q^2 scales, close to the lower cutoff for multiparton interactions. 
   
 

 
When assigning relative momentum fractions to beam-remnant partons, 
valence quarks are chosen according to a distribution like 
(1 - x)^power / sqrt(x). This power is given below 
for quarks in mesons, and separately for u and d 
quarks in the proton, based on the approximate shape of low-Q^2 
parton densities. The power for other baryons is derived from the 
proton ones, by an appropriate mixing. The x of a diquark 
is chosen as the sum of its two constituent x values, and can 
thus be above unity. (A common rescaling of all remnant partons and 
particles will fix that.) An additional enhancement of the diquark 
momentum is obtained by its x value being rescaled by the 
valenceDiqEnhance factor. 
 

parm   BeamRemnants:valencePowerMeson   
 (default = 0.8; minimum = 0.)

The abovementioned power for valence quarks in mesons. 
   
 

parm   BeamRemnants:valencePowerUinP   
 (default = 3.5; minimum = 0.)

The abovementioned power for valence u quarks in protons. 
   
 

parm   BeamRemnants:valencePowerDinP   
 (default = 2.0; minimum = 0.)

The abovementioned power for valence d quarks in protons. 
   
 

parm   BeamRemnants:valenceDiqEnhance   
 (default = 2.0; minimum = 0.5; maximum = 10.)

Enhancement factor for valence diquarks in baryons, relative to the 
simple sum of the two constituent quarks. 
   
 

flag   BeamRemnants:allowJunction   
 (default = on)

The off option is intended for debug purposes only, as 
follows. When more than one valence quark is kicked out of a baryon 
beam, as part of the multiparton interactions scenario, the subsequent 
hadronization is described in terms of a junction string topology. 
This description involves a number of technical complications that 
may make the program more unstable. As an alternative, by switching 
this option off, junction configurations are rejected (which gives 
an error message that the remnant flavour setup failed), and the 
multiparton interactions and showers are redone until a 
junction-free topology is found. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/Index.html0000644000175000017500000001561312357553535015751 0ustar  sunsun

Index




 
Pythia logo 
 

PYTHIA 8 Index
 
 

Program Overview
 
 
Frontpage
 
Program Flow
 
Settings Scheme
 
Particle Data Scheme
 
Program Files
 
Program Classes
 
Program Methods
 
Sample Main Programs
 
 

Setup Run Tasks
 
 
Save Settings
 
Main-Program Settings
 
Beam Parameters
 
Random-Number Seed
 
PDF Selection
 
Master Switches
 
Process Selection
 
  --   
QCD
 
  --   
Electroweak
 
  --   
Onia
 
  --   
Top
 
  --   
Fourth Generation
 
  --   
Higgs
 
  --   
SUSY
 
  --   
New Gauge Bosons
 
  --   
Left-Right Symmetry
 
  --   
Leptoquark
 
  --   
Compositeness
 
  --   
Hidden Valleys
 
  --   
Extra Dimensions
 
A Second Hard Process
 
Phase Space Cuts
 
Couplings and Scales
 
Standard-Model Parameters
 
Total Cross Sections
 
Resonance Decays
 
Timelike Showers
 
Spacelike Showers
 
Weak Showers
 
Multiparton Interactions
 
Beam Remnants
 
Diffraction
 
Fragmentation
 
Flavour Selection
 
Particle Decays
 
R-hadrons
 
Bose-Einstein Effects
 
Hadron Scattering
 
Particle Data
 
Error Checks
 
Tunes
 
 

Study Output
 
 
Four-Vectors
 
Particle Properties
 
Event Record
 
Event Information
 
Event Statistics
 
Event Analysis
 
Histograms
 
Advanced Usage
 
 

Link to Other Programs
 
 
Les Houches Accord
 
SUSY Les Houches Accord
 
HepMC Interface
 
Semi-Internal Processes
 
Semi-Internal Resonances
 
MadGraph 5 Processes
 
Alpgen Event Interface
 
Matching and Merging
 
  --   
POWHEG Merging
 
  --   
CKKW-L Merging
 
  --   
Jet Matching
 
  --   
UMEPS Merging
 
  --   
NLO Merging
 
User Hooks
 
Hadron-Level Standalone
 
External Decays
 
Beam Shape
 
Parton Distributions
 
Jet Finders
 
Random Numbers
 
Implement New Showers
 
RIVET usage
 
ROOT usage
 
 

Reference Materiel
 
 
Update History
 
Bibliography
 
Glossary
 
Version 
 

Separate documents
 
 
Brief Introduction
 
Worksheet 
 


 
 
pythia8-8.1.86.orig/htmldoc/FourthGenerationProcesses.html0000644000175000017500000002012012357553535022041 0ustar  sunsun

Fourth-Generation Processes




 

Fourth-Generation Processes
 
 
A fourth generation can be accommodated within the Standard Model, 
without the introduction of any new concepts. Many experimental 
constraints exist, but it has not been fully excluded. Therefore 
we offer a simple implementation, along the lines of the top. 
It could also be useful as a template for studies of other 
new particles with similar characteristics. 
 

 
The fourth generation are given names as in the third, but with a prime, 
i.e. b' with PDG code 7, t' with code 8, 
tau' with code 17, and nu'_tau with code 18. 
Most important for you is to assign a mass hierarchy, to decide which 
fermions can decay into which. The current implementation assumes that 
mass splittings are big enough that fourth-generation fermions can 
decay to third-generation ones by the emission of an on-shell W. 
To this end, the standard three-generation CKM mixing matrix has been 
extended to include a fourth generation, see below. Since no mixing has 
been implemented in the neutrino sector it would be assumed that the 
lighter of tau' and nu'_tau is stable. No decay modes 
have been implemented that go beyond the Standard Model, so 
modifications would be needed if e.g. also SUSY is included in the game. 
 

Production processes
 
 

1) b' processes
 
 
Different ways to produce b' quarks, singly or in pairs. 
For a b' t' pair see section 3 below. 
 

flag   FourthBottom:all   
 (default = off)

Common switch for the group of b' production. 
Also includes the process f fbar' → t' b'bar in section 3 below. 
   
 

flag   FourthBottom:gg2bPrimebPrimebar   
 (default = off)

Scatterings g g → b' b'bar. 
Code 801. 
   
 

flag   FourthBottom:qqbar2bPrimebPrimebar   
 (default = off)

Scatterings q qbar → b' b'bar by gluon exchange. 
Code 802. 
   
 

flag   FourthBottom:qq2bPrimeq(t:W)   
 (default = off)

Scatterings q q' → b' q'' by t-channel exchange 
of a W^+- boson. 
Code 803. 
   
 

flag   FourthBottom:ffbar2bPrimebPrimebar(s:gmZ)   
 (default = off)

Scatterings f fbar → b' b'bar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 804. 
   
 

flag   FourthBottom:ffbar2bPrimeqbar(s:W)   
 (default = off)

Scatterings f fbar' → b' qbar'' by s-channel exchange 
of a W^+- boson. Here q'' is either u or 
c. 
Code 805. 
   
 

flag   FourthBottom:ffbar2bPrimetbar(s:W)   
 (default = off)

Scatterings f fbar' → b' tbar by s-channel exchange 
of a W^+- boson. 
Code 806. 
   
 

2) t' processes
 
 
Different ways to produce t' quarks, singly or in pairs. 
For a b' t' pair see section 3 below. 
 

flag   FourthTop:all   
 (default = off)

Common switch for the group of t' production. 
Also includes the process f fbar' → t' b'bar in section 3 below. 
   
 

flag   FourthTop:gg2tPrimetPrimebar   
 (default = off)

Scatterings g g → t' t'bar. 
Code 821. 
   
 

flag   FourthTop:qqbar2tPrimetPrimebar   
 (default = off)

Scatterings q qbar → t' t'bar by gluon exchange. 
Code 822. 
   
 

flag   FourthTop:qq2tPrimeq(t:W)   
 (default = off)

Scatterings q q' → t' q'' by t-channel exchange 
of a W^+- boson. 
Code 823. 
   
 

flag   FourthTop:ffbar2tPrimetPrimebar(s:gmZ)   
 (default = off)

Scatterings f fbar → t' t'bar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 824. 
   
 

flag   FourthTop:ffbar2tPrimeqbar(s:W)   
 (default = off)

Scatterings f fbar' → t' qbar'' by s-channel exchange 
of a W^+- boson. 
Code 825. 
   
 

3) Pair-processes with different flavours
 
  
Different ways to produce two different fourth-generation fermions. 
 

flag   FourthPair:ffbar2tPrimebPrimebar(s:W)   
 (default = off)

Scatterings f fbar' → t' b'bar by s-channel exchange 
of a W^+- boson. 
Code 841. 
   
 

flag   FourthPair:ffbar2tauPrimenuPrimebar(s:W)   
 (default = off)

Scatterings f fbar' → tau' nu'_taubar by s-channel 
exchange of a W^+- boson. 
Code 842. 
   
 

 
Missing in this list is scatterings q q' → t' b' by 
t-channel exchange of a W^+- boson, since currently 
the matrix element for such processes have not been implemented for 
two massive particles in the final state. Since this process would 
involve two CKM-suppressed vertices it ought to be small. 
 

Parameters
 
 
The Cabibbo-Kobayashi-Maskawa matrix is extended by seven further values. 
So as not to mess up the Standard Model, the normal 3 * 3 matrix is 
kept unitary, and so the new off-diagonal elements lead to a slight 
breaking of this. For exploratory studies this should be good enough; 
more detailed 4 * 4 tunes to data would only make sense the day there 
are evidence for the existence of a fourth generation. 
 

parm   FourthGeneration:VubPrime   
 (default = 0.001; minimum = 0.0; maximum = 1.0)

The V_ub' matrix element in the 4 * 4 CKM matrix. 
   
 

parm   FourthGeneration:VcbPrime   
 (default = 0.01; minimum = 0.0; maximum = 1.0)

The V_cb' matrix element in the 4 * 4 CKM matrix. 
   
 

parm   FourthGeneration:VtbPrime   
 (default = 0.1; minimum = 0.0; maximum = 1.0)

The V_tb' matrix element in the 4 * 4 CKM matrix. 
   
 

parm   FourthGeneration:VtPrimed   
 (default = 0.001; minimum = 0.0; maximum = 1.0)

The V_t'd matrix element in the 4 * 4 CKM matrix. 
   
 

parm   FourthGeneration:VtPrimes   
 (default = 0.01; minimum = 0.0; maximum = 1.0)

The V_t's matrix element in the 4 * 4 CKM matrix. 
   
 

parm   FourthGeneration:VtPrimeb   
 (default = 0.1; minimum = 0.0; maximum = 1.0)

The V_t'b matrix element in the 4 * 4 CKM matrix. 
   
 

parm   FourthGeneration:VtPrimebPrime   
 (default = 0.99; minimum = 0.0; maximum = 1.0)

The V_t'b' matrix element in the 4 * 4 CKM matrix. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/ParticleDecays.html0000644000175000017500000004520212357553535017573 0ustar  sunsun

Particle Decays




 

Particle Decays
 
 
The ParticleDecays class performs the sequential decays of 
all unstable hadrons produced in the string fragmentation stage, 
i.e. up to and including b hadrons and their decay products, 
such as the tau lepton. It is not to be used for the decay of 
more massive resonances, such as top, 
Z^0 or SUSY, where decays must be performed already at the 
ProcessLevel of the event generation. 
 

 
The decay description essentially copies the one present in 
PYTHIA since many years, but with some improvements, e.g. in the decay 
tables and the number of decay models available. Recently a more 
sophisticated handling of tau decays has also been introduced. 
Some issues may need further polishing. 
 

Variables determining whether a particle decays
 
 
Before a particle is actually decayed, a number of checks are made. 
 

 
(i) Decay modes must have been defined for the particle kind; 
tested by the canDecay() method of Event 
(and ParticleData). 
 

 
(ii) The main switch for allowing this particle kind to decay must 
be on; tested by the mayDecay() method of Event 
(and ParticleData). 
 

 
(iii) Particles may be requested to have a nominal proper lifetime 
tau0 below a threshold. 
 

flag   ParticleDecays:limitTau0   
 (default = off)

When on, only particles with tau0 < tau0Max are decayed. 
   
 

parm   ParticleDecays:tau0Max   
 (default = 10.; minimum = 0.)

The above tau0Max, expressed in mm/c. 
   
 

 
(iv) Particles may be requested to have an actual proper lifetime 
tau below a threshold. 
 

flag   ParticleDecays:limitTau   
 (default = off)

When on, only particles with tau < tauMax are decayed. 
   
 

parm   ParticleDecays:tauMax   
 (default = 10.; minimum = 0.)

The above tauMax, expressed in mm/c.
 
In order for this and the subsequent tests to work, a tau 
is selected and stored for each particle, whether in the end it 
decays or not. (If each test would use a different temporary 
tau it would lead to inconsistencies.) 
   
 

 
(v) Particles may be requested to decay within a given distance 
of the origin. 
 

flag   ParticleDecays:limitRadius   
 (default = off)

When on, only particles with a decay within a radius r < rMax 
are decayed. There is assumed to be no magnetic field or other 
detector effects. 
   
 

parm   ParticleDecays:rMax   
 (default = 10.; minimum = 0.)

The above rMax, expressed in mm. 
   
 

 
(vi) Particles may be requested to decay within a given cylindrical 
volume around the origin. 
 

flag   ParticleDecays:limitCylinder   
 (default = off)

When on, only particles with a decay within a volume limited by 
rho = sqrt(x^2 + y^2) < xyMax and |z| < zMax 
are decayed. There is assumed to be no magnetic field or other 
detector effects. 
   
 

parm   ParticleDecays:xyMax   
 (default = 10.; minimum = 0.)

The above xyMax, expressed in mm. 
   
 

parm   ParticleDecays:zMax   
 (default = 10.; minimum = 0.)

The above zMax, expressed in mm. 
   
 

Mixing
 
 

flag   ParticleDecays:mixB   
 (default = on)

Allow or not B^0 - B^0bar and B_s^0 - B_s^0bar mixing. 
   
 

parm   ParticleDecays:xBdMix   
 (default = 0.776; minimum = 0.74; maximum = 0.81)

The mixing parameter x_d = Delta(m_B^0)/Gamma_B^0 in the 
B^0 - B^0bar system. (Default from RPP2006.) 
   
 

parm   ParticleDecays:xBsMix   
 (default = 26.05; minimum = 22.0; maximum = 30.0)

The mixing parameter x_s = Delta(m_B_s^0)/Gamma_B_s^0 in the 
B_s^0 - B_s^0bar system. (Delta-m from CDF hep-ex-0609040, 
Gamma from RPP2006.) 
   
 

Tau decays
 
 
A new machinery has been introduced to handle tau lepton decays, 
with helicity information related to the production process and with 
the form of the hadronic current fitted to data. It is largely based 
on the corresponding Herwig++ implementation [Gre07], with 
some input from Tauola [Jad90]. A short summary can be found in 
[Ilt12], while the complete writeup is in [Ilt14].
 

 
For taus in external processes, interfaced with Les Houches 
Accord information available, e.g. via Les Houches Event Files (LHEF), 
the new machinery interprets the SPINUP number for tau leptons 
as giving their helicity, and decays them accordingly. The only exceptions 
are when a specific polarization is forced by the user (see below), 
which then overrides the SPINUP value, or when SPINUP has the special 
value 9 (unpolarized). In the latter case, PYTHIA defaults back to 
attempting to determine the helicity structure from the production 
process, in the same way as for internal processes. 
 

 
This new machinery is on by default, but it is possible to revert to 
the simpler old decay handling, e.g. to study differences. Furthermore 
the spin tracing framework does not yet cover all possibilities; notably 
it cannot handle taus coming from SUSY decay chains 
(except via LHEF), so it makes sense 
to switch off the new machinery in such instances, for speed reasons if 
nothing else. In case only one tau mother species is undefined, the 
polarization involved can be set by hand. 
 

mode   ParticleDecays:sophisticatedTau   
 (default = 1; minimum = 0; maximum = 3)

Choice of tau decay model. 

option  0 : old decay model, with isotropic decays. 
When reading LHEF files, the SPINUP digit will be ignored.   

option  1 : sophisticated decays where tau polarization is 
calculated from the tau production mechanism. 
When reading LHEF files, the SPINUP digit will be used. 
   

option  2 : sophisticated decays as above, but additionally tau 
polarization is set to ParticleDecaus:tauPolarization for 
taus produced from ParticleDecays:tauMother. 
When reading LHEF files, this overrides the SPINUP digit. 
   

option  3 : sophisticated decays where tau polarization is set 
to ParticleDecaus:tauPolarization for all tau decays. 
When reading LHEF files, this overrides the SPINUP digit. 
   

Note: options 2 and 3, 
to force a specific tau polarization, only affect the decay 
of the tau. The angular distribution of the tau itself, 
given by its production, is not modified by these options. If you want, e.g., 
a righthanded W, or a SUSY decay chain, the kinematics should 
be handled by the corresponding cross section class(es), supplemented by 
the resonance decay one(s). The options here could then still be used 
to ensure the correct polarization at the tau decay stage. 
   
 

parm   ParticleDecays:tauPolarization   
 (default = 0; minimum = -1.; maximum = 1.)

Polarization of the tau when mode 2 or 3 of 
ParticleDecays:sophisticatedTau is selected. 
   
 

mode   ParticleDecays:tauMother   
 (default = 0; minimum = 0)

Mother of the tau for forced polarization when mode 2 of 
ParticleDecays:sophisticatedTau is selected. You should give the 
positive identity code; to the extent an antiparticle exists it will 
automatically obtain the inverse polarization. 
   
 

QED radiation
 
 
So far PYTHIA does not have any generic machinery for handling QED radiation 
in normal particle decays. In order to include this, a program like Photos 
[Bar94, Dav10] could be used as an afterburner. In a few cases, 
however, the existing shower machinery can be used also here: for 
two-body decays to a lepton pair (l^+ l^- or l^+- nu_l). 
Such decays are mediated by gamma^*/Z^0/W^+- exchange, for 
which PYTHIA does have an existing machinery that can be applied, 
including first-order matrix-element corrections for the first (hardest) 
photon emission. 
 

flag   ParticleDecays:allowPhotonRadiation   
 (default = off)

Allow or not photon radiations in decays to a lepton pair, see above. 

Note: The current default is to have radiation switched off, 
in order to avoid double-counting of emissions if you link to an external 
QED-radiation program, as is the norm in many collaborations. 
   
 

Other variables
 
 

parm   ParticleDecays:mSafety   
 (default = 0.0005; minimum = 0.; maximum = 0.01)

Minimum mass difference required between the decaying mother mass 
and the sum of the daughter masses, kept as a safety margin to avoid 
numerical problems in the decay generation. 
   
 

parm   ParticleDecays:sigmaSoft   
 (default = 0.5; minimum = 0.2; maximum = 2.)

In semileptonic decays to more than one hadron, such as 
B → nu l D pi, decay products after the first three are 
dampened in momentum by an explicit weight factor 
exp(-p^2/sigmaSoft^2), where p is the 
three-momentum in the rest frame of the decaying particle. 
This takes into account that such further particles come from the 
fragmentation of the spectator parton and thus should be soft. 
   
 

 
When a decay mode is defined in terms of a partonic content, a random 
multiplicity (and a random flavour set) of hadrons is to be picked, 
especially for some charm and bottom decays. This is done according to 
a Poissonian distribution, for n_p normal particles and 
n_q quarks the average value is chosen as 

 
  n_p/ 2 + n_q/4 + multIncrease * ln ( mDiff / multRefMass) 

 
with mDiff the difference between the decaying particle mass 
and the sum of the normal-particle masses and the constituent quark masses. 
For gluon systems multGoffset offers and optional additional 
term to the multiplicity. The lowest possible multiplicity is 
n_p + n_q/2 (but at least 2) and the highest possible 10. 
If the picked hadrons have a summed mass above that of the mother a 
new try is made, including a new multiplicity. These constraints 
imply that the actual average multiplicity does not quite agree with 
the formula above. 
 

parm   ParticleDecays:multIncrease   
 (default = 4.; minimum = 2.; maximum = 6.)

The above multIncrease parameter, except for 
meMode = 23. 
   
 

parm   ParticleDecays:multIncreaseWeak   
 (default = 2.5; minimum = 1.; maximum = 4.)

The above multIncrease parameter, specifically for 
meMode = 23. Here the weak decay implies that only the 
virtual W mass should contribute to the production of new particles, 
rather than the full meson mass. 
   
 

parm   ParticleDecays:multRefMass   
 (default = 0.7; minimum = 0.2; maximum = 2.0)

The above multRefMass parameter. 
   
 

parm   ParticleDecays:multGoffset   
 (default = 0.5; minimum = 0.0; maximum = 2.0)

The above multGoffset parameter. 
   
 

parm   ParticleDecays:colRearrange   
 (default = 0.5; minimum = 0.; maximum = 1.0)

When a decay is given as a list of four partons to be turned into 
hadrons (primarily for modes 41 - 80)  it is assumed that they are 
listed in pairs, as a first and a second colour singlet, which could 
give rise to separate sets of hadrons. Here colRearrange is 
the probability that this original assignment is not respected, and 
default corresponds to no memory of this original colour topology. 
   
 

flag   ParticleDecays:FSRinDecays   
 (default = true)

When a particle decays to q qbar, g g, g g g 
or gamma g g, with meMode > 90, allow or not a 
shower to develop from it, before the partonic system is hadronized. 
(The typical example is Upsilon decay.) 
   
 
In addition, some variables defined for string fragmentation and for 
flavour production are used also here. 
  

Modes for Matrix Element Processing
 
 
Some decays can be treated better than what pure phase space allows, 
by reweighting with appropriate matrix elements. In others a partonic 
content has to be converted to a set of hadrons. The presence of such 
corrections is signaled by a nonvanishing meMode() value 
for a decay mode in the particle 
data table. The list of allowed possibilities almost agrees with the 
PYTHIA 6 ones, but several obsolete choices have been removed, 
a few new introduced, and most have been moved for better consistency. 
Here is the list of currently allowed meMode() codes: 

     

  •   0 : pure phase space of produced particles ("default"); 
input of partons is allowed and then the partonic content is 
converted into the minimal number of hadrons (i.e. one per 
parton pair, but at least two particles in total)
    •  

  •   1 : omega and phi → pi+ pi- pi0
    •  

  •   2 : polarization in V → PS + PS (V = vector, 
PS = pseudoscalar), when V is produced by 
PS → PS + V or PS → gamma + V
    •  

  •  11 : Dalitz decay into one particle, in addition to the 
lepton pair (also allowed to specify a quark-antiquark pair that 
should collapse to a single hadron)
    •  

  •  12 : Dalitz decay into two or more particles in addition 
to the lepton pair
    •  

  •  13 : double Dalitz decay into two lepton pairs
    •  

  •  21 : decay to phase space, but weight up neutrino_tau spectrum 
in tau decay
    •  

  •  22 : weak decay; if there is a quark spectator system it collapses to 
one hadron; for leptonic/semileptonic decays the V-A matrix element 
is used, for hadronic decays simple phase space
    •  

  •  23 : as 22, but require at least three particles in decay
    •  

  •  31 : decays of type B → gamma X, very primitive simulation where 
X is given in terms of its flavour content, the X multiplicity is picked 
according to a geometrical distribution with average number 2, and 
the photon energy spectrum is weighted up relative to pure phase space
    •  

  •  42 - 50 : turn partons into a random number of hadrons, picked according 
to a Poissonian with average value as described above, but at least 
code - 40 and at most 10, and then distribute then in pure 
phase space; make a new try with another multiplicity if the sum of daughter 
masses exceed the mother one 
    •  

  •  52 - 60 : as 42 - 50, with multiplicity between code - 50 
and 10, but avoid already explicitly listed non-partonic channels
    •  

  •  62 - 70 : as 42 - 50, but fixed multiplicity code - 60
    •  

  •  72 - 80 : as 42 - 50, but fixed multiplicity code - 70, 
and avoid already explicitly listed non-partonic channels
    •  

  •  91 : decay to q qbar or g g, which should shower 
and hadronize
    •  

  •  92 : decay onium to g g g or g g gamma 
(with matrix element), which should shower and hadronize
    •  

  •  100 - : reserved for the description of partial widths of 
resonances
    •  

 
 
Three special decay product identity codes are defined. 

     

  • 81: remnant flavour. Used for weak decays of c and b hadrons, where the 
c or b quark decays and the other quarks are considered as a spectator 
remnant in this decay. In practice only used for baryons with multiple 
c and b quarks, which presumably would never be used, but have simple 
(copied) just-in-case decay tables. Assumed to be last decay product.
    •  

  • 82: random flavour, picked by the standard fragmentation flavour 
machinery, used to start a sequence of hadrons, for matrix element 
codes in 41 - 80. Assumed to be first decay product, with -82 as second 
and last. Where multiplicity is free to be picked it is selected as for 
normal quarkonic systems. Currently unused.
    •  

  • 83: as for 82, with matched pair 83, -83 of decay products. The 
difference is that here the pair is supposed to come from a closed gluon 
loop (e.g. eta_c → g g) and so have a somewhat higher average 
multiplicity than the simple string assumed for 82, see the 
ParticleDecays:multGoffset parameter above.
    •  

 
 


 
 
 
pythia8-8.1.86.orig/htmldoc/HepMCInterface.html0000644000175000017500000002024712357553536017457 0ustar  sunsun

HepMC Interface




 

HepMC Interface
 
 
An interface to the HepMC [Dob01] standard event record 
format has been provided by M. Kirsanov. To use it, the relevant 
libraries need to be linked, as explained in the README 
and README.HepMC files. Only version 2.06 (or later) 
of HepMC is supported as of 1 January 2013, by agreement with the 
LHC experimental community. 
 

 
The (simple) procedure to translate PYTHIA 8 events into HepMC ones 
is illustrated in the main41.cc, main42.cc 
main61.cc and main62.cc 
main programs. At the core is a call to the 

 
HepMC::Pythia8ToHepMC::fill_next_event( pythia, hepmcevt, ievnum = -1) 

 
which takes a reference of the generator object and uses it, on the one 
hand, to read out and convert the event record in pythia.event 
and, on the other hand, to extract and store parton-density (PDF), 
cross section and other information for the hard subprocess from 
pythia.info. There is also an alternative form that 
does not requires access to the full pythia object, 
but only the event record, at the expense of a reduced information 
storage, see below. 
 

 
While PYTHIA always stores momenta in units of GeV, with c = 1, 
HepMC nowadays can be built either for MeV or GeV as default, a choice 
that can then be overridden on an event-by-event basis, see e.g. the 
main41.cc code. When filling the HepMC event record, PYTHIA 
will convert to the unit specified for the current HepMC event record. 
 

 
Also for length units there are choices, and again the PYTHIA interface 
will convert to the units set for the HepMC event record. Here the mm 
choice of PYTHIA seems to be shared by most other programs, and is 
HepMC default. 
 

 
The status code is now based on the new standard introduced for HepMC 2.05, 
see the Event::statusHepMC(...) 
conversion routine for details. 
 

 
The current values from pythia.info.sigmaGen() and 
pythia.info.sigmaErr() are stored for each event, 
multiplied by 10^9 to convert from mb to pb. Note that 
PYTHIA improves its accuracy by Monte Carlo integration in the course 
of the run, so the values associated with the last generated event 
should be the most accurate ones. If events also come with a dimensional 
weight, like in some Les Houches strategies, this weight is in units of pb. 
 

The public methods
 
 
Here comes a complete list of all public methods of the 
Pythia8ToHepMC class in the HepMC 
(not Pythia8!) namespace. 
 


Pythia8ToHepMC::Pythia8ToHepMC()   

   
virtual Pythia8ToHepMC::~Pythia8ToHepMC()   

the constructor and destructor take no arguments. 
   
 


bool Pythia8ToHepMC::fill_next_event( Pythia8::Pythia& pythia, GenEvent* evt, int ievnum = -1)   

convert a Pythia event to a HepMC one. 
Will return true if succeeded. 

argument pythia   :  
the input Pythia generator object, from which both the 
event and other information can be obtained. 
   

argument evt   :  
the output GenEvt event, in its standard form. 
   

argument iev   :  
set the event number of the current event. If negative then the 
internal event number is used, which is incremented by one for 
each new event. 
   
   
 


bool Pythia8ToHepMC::fill_next_event( Pythia8::Event& pyev, GenEvent* evt, int ievnum = -1, Pythia8::Info* pyinfo = 0, Pythia8::Settings* pyset = 0)   

convert a Pythia event to a HepMC one. 
Will return true if succeeded. 

argument pyev   :  
the input Pythia event that is to be converted to HepMC 
format. 
   

argument evt   :  
the output GenEvt event, in its standard form. 
   

argument iev   :  
set the event number of the current event. If negative then the 
internal event number is used, which is incremented by one for 
each new event. 
   

argument pyinfo   :  
pointer to the Pythia Info object, which is used to 
extract PFD values, and process and cross section information. 
Without such a pointer this information therefore cannot be stored, 
i.e. it is equivalent to the three set_store methods 
below being set false. 
   

argument pyset   :  
pointer to the Pythia Settings object, which is used to 
decide whether hadronization is carried out, and therefore whether 
to warn about unhadronized partons. Without such a pointer the 
set_free_parton_warnings method below uniquely controls 
the behaviour. 
   
   
 

 
The following paired methods can be used to set and get the status of 
some switches that modify the behaviour of the conversion routine. 
The set methods have the same default input values as 
the internal initialization ones, so that a call without an argument 
(re)stores the default. 
 


void Pythia8ToHepMC::set_print_inconsistency(bool b = true)   

   
bool Pythia8ToHepMC::print_inconsistency()   

print a warning line, on cerr, when inconsistent mother 
and daughter information is encountered. 
   
 


void Pythia8ToHepMC::set_free_parton_warnings(bool b = true)   

   
bool Pythia8ToHepMC::free_parton_warnings()   

check and print a warning line when unhadronized gluons or quarks are 
encountered in the event record. Does not apply when Pythia hadronization 
is switched off. Default is to do this check. 
   
 


void Pythia8ToHepMC::set_crash_on_problem(bool b = false)   

   
bool Pythia8ToHepMC::crash_on_problem()   

if problems (like the free partons above) are encountered then the run 
is interrupted by an exit(1) command. Default is not to crash. 
   
 


void Pythia8ToHepMC::set_convert_gluon_to_0(bool b = false)   

   
bool Pythia8ToHepMC::convert_gluon_to_0()   

the normal gluon identity code 21 is used also when parton density 
information is stored, unless this optional argument is set true to 
have gluons represented by a 0. This choice does not affect the 
normal event record, where a gluon is always 21. 
   
 


void Pythia8ToHepMC::set_store_pdf(bool b = true)   

   
bool Pythia8ToHepMC::store_pdf()   

for each event store information on the two incoming flavours, their 
x values and common factorization scale, and the values of the two 
parton distributions, xf(x,Q). 
   
 


void Pythia8ToHepMC::set_store_proc(bool b = true)   

   
bool Pythia8ToHepMC::store_proc()   

for each event store information on the Pythia process code, the 
renormalization scale, and alpha_em and alpha_s 
values used for the hard process. 
   
 


void Pythia8ToHepMC::set_store_xsec(bool b = true)   

   
bool Pythia8ToHepMC::store_xsec()   

for each event store information on the Pythia cross section and its error, 
in pb, and the event weight. If events also come with a dimensional weight, 
like in some Les Houches strategies, this weight is in units of pb. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/Frontpage.html0000644000175000017500000001562312357553535016630 0ustar  sunsun

Front




 

PYTHIA 8
 
 

Welcome to PYTHIA - The Lund Monte Carlo!
 
 

 
PYTHIA 8 is the successor to PYTHIA 6, rewritten from scratch in C++. 
With the release of PYTHIA 8.1 it now becomes the official "current" 
PYTHIA version, although PYTHIA 6.4 will be supported in  parallel 
with it for some time to come. Specifically, the new version has not 
yet been enough tested and tuned for it to have reached the same level 
of reliability as the older one. This testing will only happen if 
people begin to work with the program, however, which is why we 
encourage a gradual transition to the new version, starting now. 
There are some new physics features in PYTHIA 8.1, that would make 
use of it more attractive, but also some topics still missing, where 
6.4 would have to be used. Further, many obsolete features will not 
be carried over, so for some backwards compatibility studies again 
6.4 would be the choice. 
 

Documentation
 
 
On these webpages you will find the up-to-date manual for PYTHIA 8.1. 
Use the left-hand index to navigate this documentation of program 
elements, especially of all possible program settings. All parameters 
are provided with sensible default values, however, so you need only 
change those of relevance to your particular study, such as choice of 
beams, processes and phase space cuts. The pages also contain a fairly 
extensive survey of all methods available to the user, e.g. to study 
the produced events. What is lacking on these webpages is an overview, 
on the one hand, and an in-depth physics description, on the other. 
 

 
The overview can be found in the attached PDF file 

A Brief Introduction 
to PYTHIA 8.1 

T. Sjöstrand, S. Mrenna and P. Skands, 
Comput. Phys. Comm. 178 (2008) 852 [arXiv:0710.3820]. 

You are strongly recommended to read this summary when you 
start out to learn how to use PYTHIA 8.1. Note that some details 
have changed since the 8.100 version described there. 
 

 
For the physics description we refer to the complete 

PYTHIA 6.4 Physics and Manual 

T. Sjöstrand, S. Mrenna and P. Skands, JHEP05 (2006) 026, 

which in detail describes the physics (largely) implemented also in 
PYTHIA 8, and also provides a more extensive bibliography than found 
here. 
 

 
When you use PYTHIA 8.1, you should therefore cite both, e.g. like 

T. Sjöstrand, S. Mrenna and P. Skands, JHEP05 (2006) 026, 
Comput. Phys. Comm. 178 (2008) 852. 
 

 
Furthermore, a separate 

 
PYTHIA 8 Worksheet, 

also an attached PDF file, offers a practical introduction to 
using the generator. It has been developed for and used at a few 
summer schools, with minor variations, but is also suited for 
self-study. 
 

Authors
 
 

 
Torbjörn Sjöstrand
 
Department of Astronomy and Theoretical Physics, Lund University, 
Sölvegatan 14A, SE-223 62 Lund, Sweden
 
phone: + 46 - 46 - 222 48 16, e-mail: torbjorn@thep.lu.se 
 

 
Jesper Roy Christiansen
 
Department of Astronomy and Theoretical Physics, Lund University, 
Sölvegatan 14A, SE-223 62 Lund, Sweden
 
e-mail: Jesper.Roy.Christiansen@thep.lu.se 
 

 
Nishita Desai
 
Institut für Theoretische Physik, Universität Heidelberg, 
Philosophenweg 16, D-69120 Heidelberg, Germany
 
phone: +49 - 6221 54 9424, e-mail: Nishita.Desai@cern.ch 
 

 
Philip Ilten
 
Massachusetts Institute of Technology, 
stationed at CERN, CH-1211 Geneva 23, Switzerland
 
e-mail: philten@cern.ch 
 

 
Stephen Mrenna
 
Computing Division, Simulations Group, 
Fermi National Accelerator Laboratory, 
MS 234, Batavia, IL 60510, USA
 
phone: + 1 - 630 - 840 - 2556, e-mail: mrenna@fnal.gov 
 

 
Stefan Prestel
 
Theory Group, DESY, Notkestrasse 85, D-22607 Hamburg, Germany
 
phone: + 49 - 40 - 8998-4250, e-mail: stefan.prestel@thep.lu.se 
 

 
Peter Skands
 
Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland
 
phone: + 41 - 22 - 767 2447, e-mail: peter.skands@cern.ch 
 

Former authors
 
 

Stefan Ask, e-mail: ask.stefan@gmail.com 
 

Richard Corke, e-mail: r.corke@errno.net 
 

Further contributions
 
 
Makefiles, configure scripts and HepMC interface by Mikhail Kirsanov. 

Conversion of XML files to PHP ones by Ben Lloyd. 

Simple Makefile for Win32/NMAKE by Bertrand Bellenot. 

Extended Higgs sector partly implemented by Marc Montull. 

Parts of charm and bottom decay tables courtesy DELPHI and 
LHCb collaborations. 

Tunes and comparisons with data, based on Rivet and Professor, 
by Hendrik Hoeth. 

Text and code on the use of ROOT in conjunction with PYTHIA 
by Rene Brun, Andreas Morsch and Axel Naumann. 

Code and data for MRST/MSTW PDFs by Robert Thorne and 
Graeme Watt. 

Code and data for the CTEQ/CT PDFs by Joey Huston 
and colleagues. 

Help with implementing new proton PDFs by Tomas Kasemets. 

Code and data for Pomeron PDFs by H1 collaboration and 
especially Paul Newman. 

Help with implementing new Pomeron fluxes and PDFs by 
Sparsh Navin. 

The new Hidden Valley code developed together with Lisa Carloni. 

Code for a Kaluza-Klein electroweak gauge boson provided by 
Noam Hod and Mark Sutton. 

Code for equivalent photon flux around an unresolved proton by 
Oystein Alvestad. 

The MBR diffractive model and central diffraction by 
Robert Ciesielski. 

2012 branching ratios for most light hadrons, and the tau lepton, 
by Anil Pratap Singh. 

The pythia8-config script has been contributed by 
Andy Buckley, along with many other helpful suggestions. 

Code and data for several of the NNPDF2.3 QCD+QED sets provided by 
Juan Rojo and Stefano Carrazza. 

The fjcore code from FastJet provided by Matteo Cacciari, 
Gavin Salam and Gregory Soyez. 
 

Note: in several cases modifications have been made to 
the original code, in order to integrate it with PYTHIA. In these cases 
the blame for any mistakes has to rest with the regular authors. 
 

Licence
 
 
PYTHIA 8 is licensed under the 
GNU General Public Licence 
version 2. 

Please respect the 
MCnet Guidelines 
for Event Generator Authors and Users. 
 

 
The program and the documentation is 
Copyright © 2014 Torbjörn Sjöstrand 
  
 


 
 
pythia8-8.1.86.orig/htmldoc/SaveSettings.html0000644000175000017500000001256512357553535017324 0ustar  sunsun

Save Settings




 

Save Settings
 
 
The information on this webpage is only valid if you access the PHP 
dynamic webpages via a web browser, and does not apply to the static 
HTML equivalents. With PHP, all of the settings in the PYTHIA program 
are represented by radio buttons or fill-in boxes, that makes it easy 
for you to  construct a file with your desired changes. This file can 
then be read into PYTHIA by your main program to steer the whole run. 
 

Basic instructions
 
 
The functionality of the PHP option is described in the following. 
 

 

 

 
 

     
 

  •  
To begin with, you must specify a (temporary) file name in the 
box above. If the filename already exists on the server, you will be 
requested to pick a new name.
    •  
 

  •  
Once you have Submitted your filename, you can browse through the 
pages and make your selections. The values currently selected when you 
load the page are the default values.
    •  
 

  •  
When you have finished making your changes to a particular page, 
you must click on Save Settings at the bottom of 
the page. This will write the changes to your temporary file. If you make 
a mistake, just repeat the procedure for that category again.
     
 

  •  
When you have finished all the changes you need, return to this page 
and click Finish File.
    •  
 

  •  
You will then get up a link, that you are asked to right-click 
with your mouse (or equivalent).
    •  
 

  •  
In the menu that appears, pick the option Save Link As 
(or equivalent).
    •  
 

  •  
You will now get up a file browser, for you to pick and Save 
the location and file name (the latter by default the same as the 
temporary file name).
    •  
 

  •  
At any time, if you click the RESET button, your temporary 
file will be erased and you can start anew.
    •  
 

  •  
Before you use a file, be sure to check it visually to confirm 
that you saved what you intended to. Minor corrections are easily made 
in a text editor. 

    •  
 

 
 

 

Supplementary notes
 
 
 
The documentation files exist in three versions. 

     
 

  1.  
As a set of .xml files, in the xmldoc/ 
subdirectory. These are the master copies that no user ever should 
touch, but that are used to generate the variants below.
    2.  
 

  2.  
As a set of .html files, in the htmldoc/ 
subdirectory. You can open your own locally installed copy of the 
Welcome.html file in your web browser and thereafter 
navigate among all the pages. You can learn which parameters are free 
to be changed, but not change anything, except by brute-force 
cut-and-paste to a file of your own.
    3.  
 

  3.  
As a set of .php files, in the phpdoc/ 
subdirectory. For these files to provide the functionality described 
above they have to accessed via a webserver. The one where you have 
your homepage should work fine. Alternatively you can use pages already 
available on another server.
    4.  
 

 
 

 
A few further comments about the operation of the PHP option: 

     
 

  •  
To set up the PHP files on your webserver, you have to install the whole 
phpdoc/ subdirectory there. In addition to the 
.php code this includes a few more files, plus a 
subdirectory named files where the temporary files 
are stored. This subdirectory must have public write access to work 
(chmod a+w files if not).
    •  
 

  •  
The "temporary" files stored in files actually remain 
unless the RESET button is used. The good news is that this makes 
it possible to recover a file that otherwise might be lost. The bad 
news is that the files directory may need to be cleaned 
up from time to time. (But typically the files are pretty small, so 
this should not be a major problem.)
    •  
 

  •  
When you click the Save Settings button on the bottom of a page 
all changed settings are written on the temporary file in the format 

     
name-of-flag/mode/parameter/word = value 

     
with one variable per line. Thereafter all the settings on the page 
are restored to their default values.
    •  
 

  •  
You can return to a page to do some further changes and save those. 
If you change the same parameter twice, it is the last value that 
counts. (Both values are stored in the file, with the more recent 
lower down, and then PYTHIA does the changes sequentially.) However 
remember that unchanged values are not stored, so if you want to 
restore some default value it may be simpler to edit the file 
afterwards.
    •  
 

  •  
The changeable flags/modes/parameters/words are mainly in the 
"Setup Run Tasks" section of the index, but a few (less 
frequently used ones) can also be found lower down, in the 
"Study Output" and "Link to Other Programs" pages. 
 

  •  
It is not (yet) possible to modify particle data within the PHP-based 
setup approach. This is a more difficult task, since e.g. the 
modifications one may want to do in a decay table can be quite 
interrelated. 
 


 
 
 
pythia8-8.1.86.orig/htmldoc/BoseEinsteinEffects.html0000644000175000017500000001426612357553535020574 0ustar  sunsun

Bose-Einstein Effects




 

    Bose-Einstein Effects
     
 
The BoseEinstein class performs shifts of momenta 
of identical particles to provide a crude estimate of 
Bose-Einstein effects. The algorithm is the BE_32 one described in 
[Lon95], with a Gaussian parametrization of the enhancement. 
We emphasize that this approach is not based on any first-principles 
quantum mechanical description of interference phenomena; such 
approaches anyway have many problems to contend with. Instead a cruder 
but more robust approach is adopted, wherein BE effects are introduced 
after the event has already been generated, with the exception of the 
decays of long-lived particles. The trick is that momenta of identical 
particles are shifted relative to each other so as to provide an 
enhancement of pairs closely separated, which is compensated by a 
depletion of pairs in an intermediate region of separation. 
 

     
More precisely, the intended target form of the BE correlations in 
BE_32 is 

     
f_2(Q) = (1 + lambda * exp(-Q^2 R^2)) 
       * (1 + alpha * lambda * exp(-Q^2 R^2/9) * (1 - exp(-Q^2 R^2/4))) 

     
where Q^2 = (p_1 + p_2)^2 - (m_1 + m_2)^2. 
Here the strength lambda and effective radius R 
are the two main parameters. The first factor of the 
equation is implemented by pulling pairs of identical hadrons closer 
to each other. This is done in such a way that three-momentum is 
conserved, but at the price of a small but non-negligible negative 
shift in the energy of the event. The second factor compensates this 
by pushing particles apart. The negative alpha parameter is 
determined iteratively, separately for each event, so as to restore 
energy conservation. The effective radius parameter is here R/3, 
i.e. effects extend further out in Q. Without the dampening 
(1 - exp(-Q^2 R^2/4)) in the second factor the value at the 
origin would become f_2(0) = (1 + lambda) * (1 + alpha * lambda), 
with it the desired value f_2(0) = (1 + lambda) is restored. 
The end result can be viewed as a poor man's rendering of a rapidly 
dampened oscillatory behaviour in Q. 
 

     
Further details can be found in [Lon95]. For instance, the 
target is implemented under the assumption that the initial distribution 
in Q can be well approximated by pure phase space at small 
values, and implicitly generates higher-order effects by the way 
the algorithm is implemented. The algorithm is applied after the decay 
of short-lived resonances such as the rho, but before the decay 
of longer-lived particles. 
 

     
This algorithm is known to do a reasonable job of describing BE 
phenomena at LEP. It has not been tested against data for hadron 
colliders, to the best of our knowledge, so one should exercise some 
judgment before using it. Therefore by default the master switch 
HadronLevel:BoseEinstein is off. 
Furthermore, the implementation found here is not (yet) as 
sophisticated as the one used at LEP2, in that no provision is made 
for particles from separate colour singlet systems, such as 
W's and Z's, interfering only at a reduced rate. 
 

     
Warning: The algorithm will create a new copy of each particle 
with shifted momentum by BE effects, with status code 99, while the 
original particle with the original momentum at the same time will be 
marked as decayed. This means that if you e.g. search for all 
pi+- in an event you will often obtain the same particle twice. 
One way to protect yourself from unwanted doublecounting is to 
use only particles with a positive status code, i.e. ones for which 
event[i].isFinal() is true. 
   
 

    Main parameters
     

Assuming you have set HadronLevel:BoseEinstein = on,
you can regulate the detailed behaviour with the following settings.
 

    flag   BoseEinstein:Pion   
 (default = on)
    
Include effects or not for identical pi^+, pi^- 
and pi^0. 
   
 

    flag   BoseEinstein:Kaon   
 (default = on)
    
Include effects or not for identical K^+, K^-, 
K_S^0 and K_L^0. 
   
 

    flag   BoseEinstein:Eta   
 (default = on)
    
Include effects or not for identical eta and eta'. 
   
 

    parm   BoseEinstein:lambda   
 (default = 1.; minimum = 0.; maximum = 2.)
    
The strength parameter for Bose-Einstein effects. On physical grounds 
it should not be above unity, but imperfections in the formalism 
used may require that nevertheless. 
   
 

    parm   BoseEinstein:QRef   
 (default = 0.2; minimum = 0.05; maximum = 1.)
    
The size parameter of the region in Q space over which 
Bose-Einstein effects are significant.  Can be thought of as 
the inverse of an effective distance in normal space, 
R = hbar / QRef, with R as used in the above equation. 
That is, f_2(Q) = (1 + lambda * exp(-(Q/QRef)^2)) * (...). 
   
 

    parm   BoseEinstein:widthSep   
 (default = 0.02; minimum = 0.001; maximum = 1.)
    
Particle species with a width above this value (in GeV) are assumed 
to be so short-lived that they decay before Bose-Einstein effects 
are considered, while otherwise they do not. In the former case the 
decay products thus can obtain shifted momenta, in the latter not. 
The default has been picked such that both rho and 
K^* decay products would be modified. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/AlpgenEventInterface.html0000644000175000017500000003165712357553536020742 0ustar  sunsun 


ALPGEN Event Interface




 

    ALPGEN Event Interface
     
 
This manual page describes the ALPGEN [Man03] event interface 
for PYTHIA8.   While future versions of 
ALPGEN will be able to write out events in LHEF format, previous 
versions always output events in an ALPGEN native format (a combination 
of a ".unw" and a "_unw.par" file). The ALPGEN component of this code 
contains a reader for this native format (for unweighted events), as 
well as parameter reading for both ALPGEN native and LHE file formats. 
The reader was designed to work together with an implementation of 
the ALPGEN-style parton-jet matching JetMatchingAlpgen 
described on the Jet Matching 
page. However, it will also work with a implementation of the 
Madgraph-style [Alw11] parton-jet matching 
JetMatchingMadgraph also described on the 
Jet Matching page. 
A sensible choice of JetMatching parameters is needed 
when using ALPGEN files with Madgraph-style matching and vice versa. 
 

     
It should be noted that all the functionality described here is provided 
through external routines, and therefore the presence of these features is 
dependent on the main program being used. This structure allows for the 
easy extensibility of the merging scheme. The files of interest are located 
in the examples/ subdirectory: 

       

    •  
GeneratorInput.h : provides three classes for the reading of 
ALPGEN event and parameter files. LHAupAlpgen is an 
LHAup derived 
class for reading in ALPGEN native format event files. 
AlpgenPar is a class for the parsing of ALPGEN parameter 
files, making the information available through a simple interface. 
AlpgenHooks is a 
UserHooks derived class that 
provides the Alpgen:* options, described below. Further 
technical details of these classes are given at the end of this manual 
page. 

      •  

    •  
main32.cc, main32.cmnd : a sample main program and card 
file showing the usage of previous file and an MLM UserHooks 
class. In combination, it reads in a sample ALPGEN (or Madgraph) event file 
while performing the MLM merging procedure as implemented in ALPGEN 
(or as in Madgraph). Some commented-out sets of options are provided 
in the card file, which can be activated to try different merging setups. 

      •  

    •  
main32.unw, main32_unw.par : an ALPGEN format event and 
parameter file containing 100 W + 3 jet events. It is not feasible 
to package large event files with the PYTHIA distribution, but this 
sample is enough to show the different components in action. 

      •  

     
 

    ALPGEN main options
     
 
These following options are provided by the AlpgenHooks class, 
which must be loaded for this functionality to be present 
 

     
ALPGEN event files that have been written out in LHEF format should be 
read in through the normal LHEF machinery 
(see Beam Parameters). Files in 
ALPGEN's native format, instead, may be processed using the 
Alpgen:file option below. When using this option, the 
ALPGEN parameter file is stored in the PYTHIA Info object under the key 
AlpgenPar, see the "Header information" section of the 
Event Information manual page for 
more details. Processes not implemented by the PYTHIA 6 interface 
supplied with ALPGEN are also not implemented here. 
 

     
When reading in ALPGEN native event files, some momenta are shifted by 
the file reader to ensure energy-momentum conservation. The magnitude of 
these shifts should be small (around the MeV level in the worst case) 
and warnings will be produced if they are above a set threshold. A large 
number of warnings may signify unexpected behaviour and should 
potentially be investigated. It is also known that certain event 
classes, for example an event with both light and heavy b 
quarks may give rise to these warnings. 
 

     
The ALPGEN file reader supports the reading of the event and parameter 
files in gzip format with file extensions ".unw.gz" and "_unw.par.gz" 
respectively. This requires the use of external libraries, however, and 
the README file in the main directory contains instructions 
on how to enable this. 
 

     
All other Alpgen:* options apply to both LHE and native 
file formats, and include options to guide the MLM merging procedure 
based on the parameters that are read in with the events file. 
 

    word   Alpgen:file   
 (default = void)
    
This option is used to read in ALPGEN format event files. Using this option 
overrides any previously set beam options inside PYTHIA. The path to the 
files, not including any file extension, should be provided e.g. for input 
files input_unw.par and input.unw, the value 
input should be used. 
   
 

    flag   Alpgen:setLightMasses   
 (default = off)
    
When switched on, c and b quark masses provided 
by ALPGEN are set in the PYTHIA 
particle database. 
Since ALPGEN may set these two masses to vanish, the parton shower
programs have been provided with some protection, but other parts of
the code may not be as fortunate. You should therefore only switch on 
this option if you know what you are doing.
   
 

    flag   Alpgen:setHeavyMasses   
 (default = on)
    
When switched on, t, Z, W and H 
masses provided by ALPGEN are set in the PYTHIA 
particle database. 
   
 

    flag   Alpgen:setMLM   
 (default = on)
    
When switched on, the merging parameters (see below) are set according to 
the ALPGEN hard process cuts: 

       

    •  JetMatching:eTjetMin = min(ptjmin + 5., 1.2 * ptjmin), 
      •  

    •  JetMatching:coneRadius = drjmin, 

    •  JetMatching:etaJetMax = etajmax. 

     
where the ptjmin, drjmin and 
etajmax are the incoming ALPGEN parameters. Note that any 
existing values of these parameters are overwritten. 
   
 

    flag   Alpgen:setNjet   
 (default = on)
    
When switched on, the JetMatching:nJet parameter (see below) 
is set to the incoming njet ALPGEN parameter. Note that any 
existing value of this parameter is overwritten. 
   
 

    Class information
     
 
Some more technical information about the different classes is given 
below. For clarity, some limited information on certain private methods 
is provided. 
 

    LHAupAlpgen
     
 
This class is derived from the 
LHAup base class, and 
uses the standard machinery to pass initialisation and event data to 
PYTHIA. These standard functions are not documented here. The complete 
parameter file is stored in the PYTHIA Info object, if given, under the 
key AlpgenPar. 
 


    LHAupAlpgen::LHAupAlpgen(const char *baseFNin, Info *infoPtrIn = NULL)   
    
The constructor for the class takes the base filename for the ALPGEN 
format files (without file extensions) and optionally a pointer to a 
PYTHIA Info class, used for warning/error message printing and for 
storing the ALPGEN parameter file. The event and 
parameter files are opened immediately, with the AlpgenPar 
class, described below, used to parse the parameter file. 
   
 


    bool LHAupAlpgen::addResonances()   
    
This is a private method used when an event is read in. The information 
read from the event file does not always contain a complete listing of 
all particles and four-momenta, and so various details must be 
reconstructed. Exactly which details are filled in can vary based on the 
ALPGEN process in question. 
   
 


    bool LHAupAlpgen::rescaleMomenta()   
    
This is another private method used when an event is read in. 
It shuffles and rescales momenta in an event to ensure energy-momentum 
conservation.  First, pT is made to balance by splitting any 
imbalance between all outgoing particles with their energies also 
scaled. Second, the e/pZ of the two incoming particles are 
scaled to balance the outgoing particles. Finally, any intermediate 
resonances are recalculated from their decay products. 
   
 

    AlpgenPar
     
 
This class parses an ALPGEN parameter file and makes the information 
available through a simple interface. The information is stored 
internally in key/value (string/double) format. All lines prior to: 

      ************** run parameters 
     
are ignored, and in the general case, a line e.g. 

      10   3.00000000000000        ! njets
     
would be stored with key "njets" and value "3.0". The following lines 
are special cases where the line may be split or the key translated: 

     
  3 ! hard process code 
  0.000   4.700 174.300  80.419  91.188 120.000 ! mc,mb,mt,mw,mz,mh 
  912.905 0.0914176   ! Crosssection +- error (pb) 
  100 29787.4  ! unwtd events, lum (pb-1) Njob= 2 

     
In the first line, the key "hard process code" is translated to 
"hpc". In the second, the mass values are split and each given an entry 
in the internal store. In the third, the cross section and cross section 
error are stored under the keys "xsecup" and "xerrup" respectively. 
Finally, the number of events and luminosity are stored under the keys 
"nevent" and "lum" respectively. In the event that a duplicate key is 
present, with differing values, the stored value is overwritten and a 
warning given. 
 


    AlpgenPar::AlpgenPar(Info *infoPtrIn = NULL)   
    
The constructor does nothing except for store the PYTHIA Info 
pointer, if given. This is used for warning/error message printing. 
   
 


    bool AlpgenPar::parse(const string paramStr)   
    
This method parses an ALPGEN parameter file. The parameter file is 
passed as a single string, mainly intended to be read out from the 
PYTHIA Info object using the header information methods. 
   
 


    bool AlpgenPar::haveParam(const string &paramIn)   
    
Method to check if a parameter with key paramIn is present. 
Returns true if present, else false. 
   
 


    double AlpgenPar::getParam(const string &paramIn)   
    
   
int AlpgenPar::getParamAsInt(const string &paramIn)   
    
Return the parameter with key paramIn as a double or 
integer. The presence of a parameter should have already been checked 
using the haveParam() function above. If the parameter is 
not present, 0 is returned. 
   
 


    void AlpgenPar::void printParams()   
    
Method to print a list of stored parameters. 
   
 

    AlpgenHooks
     
 
This UserHooks derived class 
provides all the Alpgen:* options. It is provided as a 
UserHooks class such that the code works regardless of whether ALPGEN 
native or LHE file formats are used. It is declared with virtual 
inheritance so that it may be combine with other UserHooks classes, see 
the "Combining UserHooks" section below. 
 


    AlpgenHooks(Pythia &pythia)   
    
The constructor takes a PYTHIA object as input, so that the beam 
parameter settings can be overridden if the Alpgen:file 
option is given. If this is the case, an LHAupAlpgen 
instance is automatically created and passed to PYTHIA. 
   
 


    bool initAfterBeams()   
    
This is the only UserHooks method that is overridden. It is called 
directly after PYTHIA has initialised the beams, and therefore the 
header information should be present in the PYTHIA Info object. The 
AlpgenPar class is used to parse ALPGEN parameters, if 
present, which are then used to set further PYTHIA settings. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/BeamParameters.html0000644000175000017500000003534112357553535017572 0ustar  sunsun

Beam Parameters




 

    Beam Parameters
     
 
The settings on this page relate to the beam identities and energies, 
to a beam momentum spread and to a beam interaction spot. 
As always, momenta and energies are to be given in units of GeV, 
and of space and time in mm. 
 

    Incoming beams
     
 
There are two ways to set the identities and energies of the two incoming 
beam particles. One is to use the init() method with no 
arguments. Then the settings variables below will be read and used. The 
alternative is to call init(...) 
with arguments that provide this information. Then you need not use the 
variables below (although it would still be possible). Note that, if nothing 
is done, you will default to LHC at 14 TeV. 
 

     
Currently the beam particles must be either a hadron pair or a lepton 
pair. In the former category p p and pbar p 
combinations dominate, but it is also possible to combine with 
pi^+, pi^- and pi^0. In the latter 
e^+ e^- and mu^+ mu^- would be the most useful 
combinations, but also others should work if combined with an 
appropriate hard process. 
 

    mode   Beams:idA   
 (default = 2212)
    
The PDG id code for the first incoming particle. 
Allowed codes include 

    2212 = p, -2212 = pbar, 

    2112 = n, -2112 = nbar, 

    211 = pi^+, -211 = pi^-, 111 = pi^0, 

    990 = Pomeron (used in diffractive machinery; 
here mainly for debug purposes), 

    11 = e^-, -11 = e^+, 

    13 = mu^-, -13 = mu^+, 

    and a few more leptons/neutrinos in a few combinations. 
   
 

    mode   Beams:idB   
 (default = 2212)
    
The PDG id code for the second incoming particle. 
   
  

    mode   Beams:frameType   
 (default = 1; minimum = 1; maximum = 5)
    
Choice of frame for the two colliding particles. For options 
1 - 3 the beam identities are specified above, while they are 
obtained by the Les Houches information for options 4 and 5. 

    option  1 : the beams are colliding in their CM frame, 
and therefore only the CM energy needs to be provided, see 
Beams:eCM below. 
   

    option  2 : the beams are back-to-back, but with different energies, 
see Beams:eA and Beams:eB below. 
This option could also be used for fixed-target configurations. 
   

    option  3 : the beams are not back-to-back, and therefore the 
three-momentum of each incoming particle needs to be specified, see 
Beams:pxA through Beams:pzB below. 
   

    option  4 : the beam and event information is stored in a 
Les Houches Event File, 
see Beams:LHEF below. 
   

    option  5 : the beam and event information is obtained by a 
pointer to an LHAup 
class instance. 
   
   
 

    parm   Beams:eCM   
 (default = 14000.; minimum = 10.)
    
Collision CM energy, to be set if Beams:frameType = 1. 
   
 

    parm   Beams:eA   
 (default = 7000.; minimum = 0.)
    
The energy of the first incoming particle, moving in the 
+z direction, to be set if Beams:frameType = 2. 
If the particle energy is smaller than its mass 
it is assumed to be at rest. 
   
 

    parm   Beams:eB   
 (default = 7000.; minimum = 0.)
    
The energy of the second incoming particle, moving in the 
-z direction, to be set if Beams:frameType = 2. 
If the particle energy is smaller than its mass 
it is assumed to be at rest. 
   
 

    parm   Beams:pxA   
 (default = 0.)
    
The p_x component of the first incoming particle, 
to be set if Beams:frameType = 3. 
   
 

    parm   Beams:pyA   
 (default = 0.)
    
The p_y component of the first incoming particle, 
to be set if Beams:frameType = 3. 
   
 

    parm   Beams:pzA   
 (default = 7000.)
    
The p_z component of the first incoming particle, 
to be set if Beams:frameType = 3. 
   
 

    parm   Beams:pxB   
 (default = 0.)
    
The p_x component of the second incoming particle, 
to be set if Beams:frameType = 3. 
   
 

    parm   Beams:pyB   
 (default = 0.)
    
The p_y component of the second incoming particle, 
to be set if Beams:frameType = 3. 
   
 

    parm   Beams:pzB   
 (default = -7000.)
    
The p_z component of the second incoming particle, 
to be set if Beams:frameType = 3. 
   
 

    word   Beams:LHEF   
 (default = void)
    
The name of a Les Houches Event File, 
to be set if Beams:frameType = 4. 
   
 

    word   Beams:LHEFheader   
 (default = void)
    
As some information in a Les Houches Event File init block is only known 
at the end of generation, some programs choose to output this as a 
separate file. If Beams:LHEFheader is given, information up 
till the end of the init block is read from this file, with 
the events themselves read as usual from the file given in 
Beams:LHEF. 
   
 

    flag   Beams:newLHEFsameInit   
 (default = off)
    
Allow to begin reading events from a new LHEF or or a new 
LHAup instance without a completely new initialization. 
Only useful when Beams:frameType = 4 or 5. 
   
 

    flag   Beams:readLHEFheaders   
 (default = on)
    
Read in LHEF header blocks and store them in the 
Info class. See also 
LHAupLHEF for more information. 
   
 

    mode   Beams:nSkipLHEFatInit   
 (default = 0)
    
Skip the first nSkip events of the input stream 
(cf. the LHAup::skipEvent(nSkip) method). 
Only used when Beams:frameType = 4 or 5. 
   
 

    Beam momentum spread
     
 
This framework currently is intended for a modest beam spread, such as 
experienced at hadron colliders. Thus it can be safely assumed that the 
physics does not change over the CM energy range probed, so that the 
parameters of the physics initialization at the nominal energy can be 
used as is. Currently it can not be used for the more extensive 
energy spread expected at linear e^+ e^- colliders. Also, 
any attempt to combine it with external Les Houches input of 
parton-level events is at own risk. 
      

     
On this page you can set the momentum spread according to a simple 
Gaussian distribution. If you instead want a more sophisticated 
parametrization, you can write and link your own 
BeamShape class. 
 

    flag   Beams:allowMomentumSpread   
 (default = off)
    
Allow the beam momenta to be smeared around their initialization 
nominal values. 
   
 

    parm   Beams:sigmaPxA   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the p_x spread of the 
first incoming particle. 
   
 

    parm   Beams:sigmaPyA   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the p_y spread of the 
first incoming particle. 
   
 

    parm   Beams:sigmaPzA   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the p_z spread of the 
first incoming particle. 
   
 

    parm   Beams:maxDevA   
 (default = 5.; minimum = 0.)
    
The triply Gaussian distribution (p_x, p_y, p_z) is restricted to 
a maximal total deviation from the nominal values (p_x0, p_y0, p_z0) 
for the first incoming particle, like 

     
(p_x - p_x0)^2/sigma_px^2 + (p_y - p_y0)^2/sigma_py^2 + 
(p_z - p_z0)^2/sigma_pz^2 < maxDev^2 

     
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (p_x, p_y, p_z).) 
   
 

    parm   Beams:sigmaPxB   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the p_x spread of the 
second incoming particle. 
   
 

    parm   Beams:sigmaPyB   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the p_y spread of the 
second incoming particle. 
   
 

    parm   Beams:sigmaPzB   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the p_z spread of the 
second incoming particle. 
   
 

    parm   Beams:maxDevB   
 (default = 5.; minimum = 0.)
    
The triply Gaussian distribution (p_x, p_y, p_z) is restricted to 
a maximal total deviation from the nominal values (p_x0, p_y0, p_z0), 
for the second incoming particle, like 

     
(p_x - p_x0)^2/sigma_px^2 + (p_y - p_y0)^2/sigma_py^2 + 
(p_z - p_z0)^2/sigma_pz^2 < maxDev^2 

     
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (p_x, p_y, p_z).) 
   
 

    Beam interaction vertex
     
 
On this page you can set the spread of the interaction vertex according to 
a simple Gaussian distribution. If you instead want a more sophisticated 
parametrization, you can write and link your own 
BeamShape class. 
 

    flag   Beams:allowVertexSpread   
 (default = off)
    
Allow the interaction vertex of the two colliding beams to be smeared. 
If off, then the vertex is set to be the origin. 
   
 

    parm   Beams:sigmaVertexX   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the x location of the 
interaction vertex. 
   
 

    parm   Beams:sigmaVertexY   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the y location of the 
interaction vertex. 
   
 

    parm   Beams:sigmaVertexZ   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the z location of the 
interaction vertex. 
   
 

    parm   Beams:maxDevVertex   
 (default = 5.; minimum = 0.)
    
The triply Gaussian distribution of interaction vertex position 
(x, y, z) is restricted to a maximal total deviation from the 
origin, like 

     
x^2/sigma_x^2 + y^2/sigma_y^2 + z^2/sigma_z^2 < maxDevVertex^2 

     
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (x, y, z).) 
   
 

    parm   Beams:sigmaTime   
 (default = 0.; minimum = 0.)
    
The width of a Gaussian distribution of the collision time (in units of 
mm/c). Note that, if the above space parametrization is viewed as the 
effect of two incoming beams along the +-z axis, with each beam 
having a Gaussian spread, then the spread of the time would also become 
a Gaussian with the same width as the z one (times the 
velocity of the beams, which we expect is close to unity). For flexibility 
we have not enforced any such relation, however. 
   
 

    parm   Beams:maxDevTime   
 (default = 5.; minimum = 0.)
    
The collision time is restricted to be in the range 
|t| < sigma_t * maxDevTime. 
   
 

     
The distributions above are all centered at the origin. It is also 
possible to shift the above distributions to be centered around another 
nominal position. You must have Beams:allowVertexSpread = on 
to use this possibility. 
 

    parm   Beams:offsetVertexX   
 (default = 0.)
    
The x location of the interaction vertex is centered at this value. 
   
 

    parm   Beams:offsetVertexY   
 (default = 0.)
    
The y location of the interaction vertex is centered at this value. 
   
 

    parm   Beams:offsetVertexZ   
 (default = 0.)
    
The z location of the interaction vertex is centered at this value. 
   
 

    parm   Beams:offsetTime   
 (default = 0.)
    
The time t of the interaction vertex is centered at this value. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/SemiInternalProcesses.html0000644000175000017500000007676012357553536021176 0ustar  sunsun

Semi-Internal Processes




 

    Semi-Internal Processes
     
 
Normally users are expected to implement new processes via the 
Les Houches Accord. Then 
you do all flavour, colour and phase-space selection externally, 
before your process-level events are input for further processing 
by PYTHIA. However, it is also possible to implement a 
new process in exactly the same way as the internal PYTHIA 
ones, thus making use of the internal phase space selection machinery 
to sample an externally provided cross-section expression. 
The MadGraph 5 program [Alw11] allows you to do exactly that, 
i.e. it can be used to generate C++ code that can be linked into 
the existing PYTHIA framework, see 
here. 
 

     
Should you decide to go ahead on your own, 
this page gives a brief summary how to do that. If you additionally 
want to introduce a new resonance species, with its own internal 
width calculations, you will find further instructions 
here. It is strongly 
recommended to shop around for a similar process that has already 
been implemented, and to use that existing code as a template. 
Look for processes with the same combinations of incoming flavours 
and colour flows, rather than the shape of the cross section itself. 
With a reasonable such match the task should be of medium difficulty, 
without it more demanding. 
 

     
PYTHIA is rather good at handling the phase space of 
2 → 1 and 2 → 2 processes, is more primitive for 
2 → 3 ones and does not at all address higher multiplicities. 
This limits the set of processes that you can implement in this 
framework. The produced particles may be resonances, however, so it is 
possible to end up with bigger "final" multiplicities through sequential 
decays, and to include further matrix-element weighting in those decays. 
 

     
There are three steps involved in implementing a process: 

       

    1. making use of the PYTHIA-provided kinematics information to 
calculate the relevant cross section,
      2.  

    2. writing a new class,  where the matrix elements are implemented, 
including information on incoming and outgoing flavours and colours, 
and
      3.  

    3. making the process available.
      4.  

     
We consider these aspects in turn. An example where it all comes 
together is found in main22.cc. 
 

    The Cross Section Calculation
     
 
The key method for the cross section calculation is 
SigmaProcess::sigmaHat(), described below. At the point when 
it is called, the kinematics has already been set up, and from these 
phase space variables the differential cross section is to be calculated. 
 

     
For a 2 → 1 process, the returned value should be 
sigmaHat(sHat), where mH (= mHat), 
sH (= sHat) and sH2 (= sHat^2) 
are available to be used. Incoming partons are massless. Overload the 
convertM2() method below if you instead plan to return 
|M|^2. 
 

     
For a 2 → 2 process, instead d(sigmaHat)/d(tHat) 
should be returned, based on provided 
mH, sH, sH2, tH, tH2, uH, uH2, m3, s3, m4, s4 and 
pT2 values (s3 = m3*m3 etc.). Incoming 
partons are massless. Overload the convertM2() method 
below if you instead plan to return |M|^2. 
 

     
For a 2 → 3 process, instead |M|^2 should be 
returned, with normalization such that |M|^2 / (2 sHat) integrated 
over the three-body phase space gives the cross section. Here no standard 
set of Mandelstam-style variables exists. Instead the obvious ones, 
mH, sH, m3, s3, m4, s4, m5, s5, are complemented by the 
four-vectors p3cm, p4cm, p5cm, from which further invariants 
may be calculated. The four-vectors are defined in the CM frame of the 
subcollision, with massless incoming partons along the +-z axis. 
 

     
In either case, alpha_s and alpha_em have already 
been calculated, and are stored in alpS and alpEM. 
Also other standard variables may be used, like 
CoupEW::sin2thetaW(), and related flavour-dependent 
vector and axial couplings in CoupEW and CKM combinations 
in VCKM. 
 

     
In case some of the final-state particles are resonances, their 
squared masses have already been selected according to a Breit-Wigner 
with a linearly running width Gamma(m) = Gamma(m_0) * m / m_0. 
More precisely, the mass spectrum is weighted according to 
w_BW(m^2) d(m^2), where 

     
w_BW(m^2) = (1/pi) * (m * Gamma(m)) / ( (m^2 - m_0^2)^2 + (m * Gamma(m))^2 ) . 

     
If you would like to have another expression, the above weights are stored 
in runBW3, runBW4 and runBW5, 
respectively. If you divide out one of these factors, you just remain with 
a phase space selection d(m^2) for this particle, 
and can multiply on your desired shape factor instead. Unfortunately, the 
Monte Carlo efficiency will drop if your new mass distribution differs 
dramatically from the input one. Therefore it does make sense to adjust the 
database value of the width to be slightly (but not too much) broader 
than the distribution you have in mind. Also note that, already by default, 
the wings of the Breit-Wigner are oversampled (with a compensating lower 
internal weight) by partly sampling like (a + b/m^2 + c/m^4) d(m^2), 
where the last term is only used for gamma^*/Z^0. 
 

     
As alternative to the kinematics variables defined above, also the two 
arrays mME[5] and pME[5], for masses and 
four-momenta, respectively, can be used for cross-section calculations. 
Here indices 0 and 1 are the two incoming beams, and 2 and onwards the 
outgoing particles. Note that this differs by one step from the normal 
internal labeling, where slot 0 is left empty. The four-momenta are 
defined in the rest frame of the subcollision, with the incoming partons 
along the +-z direction. The kinematics need not agree with the 
"correct" one stored in the event record, for three reasons. 

    1) Gauge invariance forces matrix-element calculations to use 
the same masses for incoming as outgoing legs of a particle species, 
say b quarks. Therefore the kinematics of the two incoming 
partons is recalculated, relative to the normal event record, to put 
the partons on the mass shell. (Note that initial masses is a technical 
issue, not the correct physics picture: the incoming partons are likely 
to be spacelike virtual rather than on the mass shell.) 

    2) In principle each fermion flavour has to be treated separately, 
owing to a different mass. However, in many cases fermions can be 
assumed massless, which speeds up the calculations, and further gains 
occur if then different flavours can use the same cross-section 
expression. In MadGraph the default is that fermions up to and including 
the c quark and the mu lepton are considered massless, 
while the b quark and the tau lepton are considered 
massive. This can be modified however, and below we provide four flags 
that can be used to consider the "borderline" fermions either as 
massless or as massive when matrix elements are evaluated, to match the 
assumptions made for the matrix elements themselves. 

    3) For 2 → 2 and 2 → 3 processes of massive 
identical particles (or antiparticles) in the final state, such as 
t tbar or W^+ W^-, the kinematics is here adjusted 
so that the two or three particles have the same mass, formed as a 
suitable average of the actual Breit-Wigner-distributed masses. This 
allows the evaluation of matrix-element expressions that only have 
meaning if the two/three have the same mass. 

    Thus the mass array mME[5] and the four-momentum array 
pME[5] present values both for initial- and final-state 
particles based on these mass principles suited for matrix-element input. 
Note that these variables therefore differ from the kinematics stored in 
the event record proper, where incoming fermions are always massless and 
outgoing resonances have independent Breit-Wigner mass distributions. 

    The conversion from the normal to the special kinematics is done 
by calling the setupForME() method. This you have to do 
yourself in the SigmaHat() member of your derived class. 
Alternatively it could be done in SigmaKin(), i.e. before 
the loop over incoming flavours, but then these would be considered 
massless. The identity of final-state particles is obtained from the 
id3Mass(), id4Mass() and id5Mass() 
methods. Should the conversion to mME[5] and 
pME[5] not work, setupForME() will return 
false, and then the cross section should be put zero. 
 

    flag   SigmaProcess:cMassiveME   
 (default = off)
    
Let the c quark be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 

    flag   SigmaProcess:bMassiveME   
 (default = on)
    
Let the b quark be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 

    flag   SigmaProcess:muMassiveME   
 (default = off)
    
Let the mu lepton be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 

    flag   SigmaProcess:tauMassiveME   
 (default = on)
    
Let the tau lepton be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 
 

    The Cross Section Class
     
 
The matrix-element information has to be encoded in a new class. 
The relevant code could either be put before the main program in the 
same file, or be stored separately, e.g. in a matched pair 
of .h and .cc files. The latter may be more 
convenient, in particular if the cross sections are lengthy, or if you 
intend to build up your own little process library, but of course 
requires that these additional files are correctly compiled and linked. 
 

     
The class has to be derived either from 
Sigma1Process, for 2 → 1 processes, from 
Sigma2Process, for 2 → 2 ones, or from 
Sigma3Process, for 2 → 3 ones. (The 
Sigma0Process class is used for elastic, diffractive 
and minimum-bias events, and is not recommended for use beyond that.) 
These are in their turn derived from the SigmaProcess 
base class. 
 

     
The class can implement a number of methods. Some of these are 
compulsory, others strongly recommended, and the rest are to be 
used only when the need arises to override the default behaviour. 
The methods are: 
 

     
A constructor for the derived class obviously must be available. 
Here you are quite free to allow a list of arguments, to set 
the parameters of your model, or even to create a set of closely 
related but distinct processes. For instance, g g → Q Qbar, 
Q = c or b, is only coded once, and then the 
constructor takes the quark code (4 or 5)  as argument, 
to allow the proper amount of differentiation. 
 

     
A destructor is only needed if you plan to delete the process 
before the natural end of the run, and require some special behaviour 
at that point. If you call such a destructor you will leave a pointer 
dangling inside the Pythia object you gave it in to, 
if that still exists. 
 


    void SigmaProcess::initProc()   
    
is called once during initialization, and can then be used to set up 
parameters, such as masses and couplings, and perform calculations 
that need not be repeated for each new event, thereby saving time. 
This method needs not be implemented, since in principle all 
calculations can be done in sigmaHat below. 
   
 


    void SigmaProcess::sigmaKin()   
    
is called once a kinematical configuration has been determined, but 
before the two incoming flavours are known. This routine can therefore 
be used to perform calculations that otherwise might have to be repeated 
over and over again in sigmaHat below. For instance 
a flavour-independent cross section calculation for a q g 
initial state would be repeated 20 times in sigmaHat, 
five times for the five quark flavours allowed in the incoming beams, 
times twice to include antiquarks, times twice since the (anti)quark 
could be in either of the two beams. You could therefore calculate the 
result once only and store it as a private data member of the class. 
It is optional whether you want to use this method, however, or put 
everything in sigmaHat. 
   
 


    double SigmaProcess::sigmaHat()   
    
is the key method for cross section calculations and returns a cross section 
value, as described in the previous section. It is called when also a 
preliminary set of incoming flavours has been picked, in addition to the 
kinematical ones already available for sigmaKin. 
Typically sigmaHat is called inside a loop over all allowed 
incoming flavour combinations, stored in id1 and 
id2, with fixed kinematics, as already illustrated above. 
The sum over the different flavour combinations provides the total 
cross section, while their relative size is used to make a selection of 
a specific incoming state. 
   
 


    bool SigmaProcess::setupForME()   
    
to be called by the user from inside sigmaHat() 
(or possibly sigmaKin()) to setup alternative kinematics 
in the mME[5] and pME[5] arrays, better 
suited for matrix-element calculations. See the end of the previous 
section for a more detailed description. Should the method return 
false then the conversion did not work, and 
sigmaHat() (or sigmaKin()) should be set to 
vanish. 
   
 


    void SigmaProcess::setIdColAcol()   
    
is called only once an initial state and a kinematical configuration has 
been picked. This routine must set the complete flavour information and 
the colour flow of the process. This may involve further random choices, 
between different possible final-state flavours or between possible 
competing colour flows. Private data members of the class may be used to 
retain some information from the previous steps above. 

    When this routine is called the two incoming flavours have already 
been selected and are available in id1 and id2, 
whereas the one, two or three outgoing ones either are fixed for a given 
process or can be determined from the instate (e.g. whether a W^+ 
or W^- was produced).  There is also a standard method in 
VCKM to pick a final flavour from an initial one with CKM 
mixing. Once you have figured out the value of 
id3 and, the case being, id4 and 
id5, you store these values permanently by a call 
setId( id1, id2, id3, id4, id5), where the last two may be 
omitted if irrelevant. 

    Correspondingly, the colours are stored with 
setColAcol( col1, acol1, col2, acol2, col3, acol3, col4, acol4, 
col5, acol5), where the final ones may be omitted if irrelevant. 
Les Houches style colour tags are used, but starting with number 1 
(and later shifted by the currently requested offset). The 
input is grouped particle by particle, with the colour index before the 
anticolour one. You may need to select colour flow dynamically, depending 
on the kinematics, when several distinct possibilities exist. Trivial 
operations, like swapping colours and anticolours, can be done with 
existing methods. 

    When the id3Mass() and id4Mass() 
methods have been used, the order of the outgoing particles may be 
inconsistent with the way the tHat and uHat 
variables have been defined. A typical example would be a process like 
q g → q' W with tHat defined between incoming and 
outgoing quark, but where id3Mass() = 24 and so the 
process is to be stored as q g → W q'. One should then put 
the variable swapTU = true in setIdColAcol() 
for each event where the tHat and uHat variables 
should be swapped before the event kinematics is reconstructed. This 
variable is automatically restored to false for each new 
event. 
   
 


    double SigmaProcess::weightDecayFlav( Event& process)   
    
is called to allow a reweighting of the simultaneous flavour choices of 
resonance decay products. Is currently only used for the 
q qbar → gamma*/Z^0 gamma*/Z^0 process, and will likely not 
be of interest for you. 
   
 


    double SigmaProcess::weightDecay( Event& process, int iResBeg, int iResEnd)   
    
is called when the basic process has one or several resonances, after each 
set of related resonances in process[i], 
iResBeg <= i  <= iResEnd, 
has been allowed to decay. The calculated weight, to be normalized 
to the range between 0 and 1, is used to decide whether to accept the 
decay(s) or try for a new decay configuration. The base-class version of 
this method returns unity, i.e. gives isotropic decays by default. 
This method may be called repeatedly for a single event. For instance, in 
q qbar → H^0 Z^0 with H^0 → W^+ W^-, a first call 
would be made after the H^0 and Z^0 decays, and then 
depend only on the Z^0 decay angles since the H^0 
decays isotropically. The second call would be after the W^+ W^- 
decays and then involve correlations between the four daughter fermions. 
   
 


    string SigmaProcess::name()   
    
returns the name of the process, as you want it to be shown in listings. 
   
 


    int SigmaProcess::code()   
    
returns an integer identifier of the process. This has no internal function, 
but is only intended as a service for the user to rapidly (and hopefully 
uniquely) identify which process occurred in a given event. Numbers below 
10000 are reserved for internal PYTHIA use. 
   
 


    string SigmaProcess::inFlux()   
    
this string specifies the combinations of incoming partons that are 
allowed for the process under consideration, and thereby which incoming 
flavours id1 and id2 the sigmaHat() 
calls will be looped over. It is always possible to pick a wider flavour 
selection than strictly required and then put to zero cross sections in 
the superfluous channels, but of course this may cost some extra execution 
time. Currently allowed options are: 

    * gg: two gluons. 

    * qg: one (anti)quark and one gluon. 

    * qq: any combination of two quarks, two antiquarks or 
a quark and an antiquark. 

    * qqbar: any combination of a quark and an antiquark; 
a subset of the qq option. 

    * qqbarSame: a quark and its antiquark; 
a subset of the qqbar option. 

    * ff: any combination of two fermions, two antifermions 
or a fermion and an antifermion; is the same as qq for 
hadron beams but also allows processes to work with lepton beams. 

    * ffbar: any combination of a fermion and an antifermion; 
is the same as qqbar for hadron beams but also allows processes 
to work with lepton beams. 

    * ffbarSame: a fermion and its antifermion; is the 
same as qqbarSame for hadron beams but also allows processes 
to work with lepton beams. 

    * ffbarChg: a fermion and an antifermion that combine 
to give charge +-1. 

    * fgm: a fermion and a photon (gamma). 

    * ggm: a gluon and a photon. 

    * gmgm: two photons. 
   
 


    bool SigmaProcess::convert2mb()   
    
it is assumed that cross sections normally come in dimensions such that 
they, when integrated over the relevant phase space, obtain the dimension 
GeV^-2, and therefore need to be converted to mb. If the cross section 
is already encoded as mb then convert2mb() should be 
overloaded to instead return false. 
   
 


    bool SigmaProcess::convertM2()   
    
it is assumed that 2 → 1 cross sections are encoded as 
sigmaHat(sHat), and 2 → 2 ones as 
d(sigmaHat)/d(tHat) in the SigmaProcess::sigmaHat() 
methods. If convertM2() is overloaded to instead return 
true then the return value is instead assumed to be the 
squared matrix element |M|^2, and 
SigmaProcess::sigmaHatWrap(...) converts to 
sigmaHat(sHat) or d(sigmaHat)/d(tHat), respectively. 
This switch has no effect on 2 → 3 processes, where 
|M|^2 is the only allowed input anyway. 
   
 


    int SigmaProcess::id3Mass()   
    
   
int SigmaProcess::id4Mass()   
    
   
int SigmaProcess::id5Mass()   
    
are the one, two or three final-state flavours, where masses are to be 
selected before the matrix elements are evaluated. Only the absolute value 
should be given. For massless particles, like gluons and photons, one need 
not give anything, i.e. one defaults to 0. The same goes for normal light 
quarks, where masses presumably are not implemented in the matrix elements. 
Later on, these quarks can still (automatically) obtain constituent masses, 
once a u, d or s flavour has been selected. 
   
 


    int SigmaProcess::resonanceA()   
    
   
int SigmaProcess::resonanceB()   
    
are the codes of up to two s-channel resonances contributing to 
the matrix elements. These are used by the program to improve the phase-space 
selection efficiency, by partly sampling according to the relevant 
Breit-Wigner distributions. Massless resonances (the gluon and photon) 
need not be specified. 
   
 


    bool SigmaProcess::isSChannel()   
    
normally the choice of renormalization and factorization scales in 
2 → 2 and 2 → 3 processes is based on the 
assumption that t- and u-channel exchanges dominates the 
cross section. In cases such as f fbar → gamma* → f' fbar' 
a 2 → 2 process actually ought to be given scales as a 
2 → 1 one, in the sense that it proceeds entirely through 
an s-channel resonance. This can be achieved if you override the 
default false to return true. See further the 
page on couplings and scales. 
   
 


    int SigmaProcess::idSChannel()   
    
normally no intermediate state is shown in the event record for 
2 → 2 and 2 → 3 processes. However, in case 
that idSChannel is overloaded to return a nonzero value, 
an intermediate particle with that identity code is inserted into the 
event record, to make it a 2 → 1 → 2 or 
2 → 1 → 3 
process. Thus if both isSChannel and idSChannel 
are overloaded, a process will behave and look like it proceeded through 
a resonance. The one difference is that the implementation of the 
matrix element is not based on the division into a production and a 
decay of an intermediate resonance, but is directly describing the 
transition from the initial to the final state. 
   
 


    int SigmaProcess::isQCD3body()   
    
there are two different 3-body phase-space selection machineries, 
of which the non-QCD one is default. If you overload this method 
instead the QCD-inspired machinery will be used. The differences 
between these two is related to which 
phase space cuts 
can be set, and also that the QCD machinery assumes (almost) massless 
outgoing partons. 
   
 


    int SigmaProcess::idTchan1()   
    
   
int SigmaProcess::idTchan2()   
    
the non-QCD 2 → 3 phase space selection machinery is rather 
primitive, as already mentioned. The efficiency can be improved in 
processes that proceed though t-channel exchanges, such as 
q qbar' → H^0 q qbar' via Z^0 Z^0 fusion, if the 
identity of the  t-channel-exchanged particles on the two side 
of the event are provided. Only the absolute value is of interest. 
   
 


    double SigmaProcess::tChanFracPow1()   
    
   
double SigmaProcess::tChanFracPow2()   
    
in the above kind of 2 → 3 phase-space selection, the 
sampling of pT^2 is done with one part flat, one part weighted 
like 1 / (pT^2 + m_R^2) and one part  like 
1 / (pT^2 + m_R^2)^2. The above values provide the relative 
amount put in the latter two channels, respectively, with the first 
obtaining the rest. Thus the sum of tChanFracPow1() and 
tChanFracPow2() must be below unity. The final results 
should be independent of these numbers, but the Monte Carlo efficiency 
may be quite low for a bad choice. Here m_R is the mass of the 
exchanged resonance specified by idTchan1() or 
idTchan2(). Note that the order of the final-state 
listing is important in the above q qbar' → H^0 q qbar' example, 
i.e. the H^0 must be returned by id3Mass(), 
since it is actually the pT^2 of the latter two that are 
selected independently, with the first pT then fixed 
by transverse-momentum conservation. 
   
 


    bool SigmaProcess::useMirrorWeight()   
    
in 2 → 3 processes the phase space selection used here 
involves a twofold ambiguity basically corresponding to a flipping of 
the positions of last two outgoing particles. These are assumed equally 
likely by default, false, but for processes proceeding entirely 
through t-channel exchange the Monte Carlo efficiency can be 
improved by making a preselection based on the relative propagator 
weights, true. 
   
 


    int SigmaProcess::gmZmode()   
    
allows a possibility to override the global mode 
WeakZ0:gmZmode 
for a specific process. The global mode normally is used to switch off 
parts of the gamma^*/Z^0 propagator for test purposes. The 
above local mode is useful for processes where a Z^0 really is 
that and nothing more, such as q qbar → H^0 Z^0. The default 
value -1 returned by gmZmode() ensures that the global 
mode is used, while 0 gives full gamma^*/Z^0 interference, 
1 gamma^* only and 2 Z^0 only. 
   
 

    Access to a process
     
 
Once you have implemented a class, it is straightforward to make use of 
it in a run. Assume you have written a new class MySigma, 
which inherits from Sigma1Process, Sigma2Process 
or Sigma3Process, which in their turn inherit from 
SigmaProcess. You then create an instance of this class 
and hand it in to a pythia object with 

     
      SigmaProcess* mySigma = new MySigma(); 
      pythia.setSigmaPtr( mySigma); 

     
If you have several processes you can repeat the procedure any number 
of times. When pythia.init(...) is called these processes 
are initialized along with any internal processes you may have switched on, 
and treated in exactly the same manner. The  pythia.next() 
will therefore generate a mix of the different kinds of processes without 
distinction. See also the Program Flow 
description. 
 

     
If the code should be of good quality and general usefulness, it would 
be simple to include it as a permanently available process in the 
standard program distribution. The final step of that integration ought to 
be left for the PYTHIA authors, but here is a description of what is 
required. 
  

     
A flag has to be defined, that allows the process to be switched on; 
by default it should always be off. The name of the flag should be 
chosen of the type model:process. Here the 
model would be related to the general scenario considered, 
e.g. Compositeness, while process would 
specify instate and outstate, separated by a 2 (= to), e.g. 
ug2u*g. 
When several processes are implemented and "belong together" it is 
also useful to define a model:all switch that affects 
all the separate processes. 
 

     
The flags should normally be stored in the ProcessSelection.xml 
file or one of its daughters for a specific kind of processes. This is to 
make them easily found by users. You could create and use your own 
.xml file, so long as you then add that name to the 
list of files in the Index.xml file. (If not, 
the flags would never be created and the program would not work.) 
 

     
In the ProcessContainer.c file, the 
SetupContainers::init() method needs to be expanded to 
create instances of the processes switched on. This code is fairly 
repetitive, and should be easy to copy and modify from the code 
already there. The basic structure is 

    (i) check whether a process is requested by the user and, if so, 

    (ii) create an instance of the matrix-element class, 

    (iii)create a container for the matrix element and its associated 
phase-space handling, and 

    (iv) add the container to the existing process list. 
 

     
Two minor variations are possible. One is that a set of related 
processes are lumped inside the the same initial check, i.e. are 
switched on all together. The second is that the matrix-element 
constructor may take arguments, as specified by you (see above). 
If so, the same basic matrix element may be recycled for a set of 
related processes, e.g. one for a composite u and one for 
a composite d. Obviously these variations may be combined. 
 


 
 
pythia8-8.1.86.orig/htmldoc/Tunes.html0000644000175000017500000004150712357553536016002 0ustar  sunsun

Tunes




 

    Tunes
     
 
Since some physics aspects cannot be derived from first principles, 
this program contains many parameters that represent a true 
uncertainty in our understanding of nature. Particularly afflicted 
are the areas of hadronization and multiparton interactions, which both 
involve nonperturbative QCD physics. 
 

     
Technically, PYTHIA  parameters can be varied independently of each 
other, but the physical requirement of a sensible description of a set 
of data leads to correlations and anticorrelations between the 
parameters. Hence the need to produce tunes, not of one parameter at 
a time, but simultaneously for a group of them. A well-known (separate) 
such example is parton densities, where combined tunes to a wide range 
of data have been produced, that can then be obtained prepackaged. 
 

     
Given the many PYTHIA parameters to be tuned, it is convenient to 
divide the task into subtasks. Firstly, if we assume jet universality, 
hadronization and final-state parton showers should be tuned to 
e^+e^- annihilation data, notably from LEP1, since this 
offers the cleanest environment. Secondly, with such parameters fixed, 
hadron collider data should be studied to pin down multiparton interactions 
and other further aspects, such as initial-state radiation. Ideally this 
would be done separately for diffractive and non-diffractive events, 
although it is not possible to have a clean separation. (Thirdly 
would come anything else, such as physics with photon beams, which 
involve further parameters, but that is beyond the current scope.) 
 

     
The first step in this program has now been taken, with a tune to LEP1 
data by Hendrik Hoeth, using the Rivet + Professor framework. Starting 
with version 8.125 it defines the default values for hadronization 
parameters and timelike showers. 
 

     
The situation is more complicated for hadronic interactions in general 
and multiparton interactions in particular, where PYTHIA 8 is more 
different from PYTHIA 6, and therefore more work is needed. Specifically, 
it is not possible to "port" a PYTHIA 6 tune to PYTHIA 8. 
 

     
A first simple tune, appropriately called "Tune 1", became default 
starting with version 8.127. It was noted, in particular by Hendrik 
Hoeth, that this tune had a tension between parameters needed to 
describe minimum-bias and underlying-event activity. Therefore some 
further physics features were introduced in the code itself 
[Cor10a], which were made default as of 8.140. This version 
also included two new tunes, 2C and 2M, based on the CTEQ 6L1 and the 
MRST LO** PDF sets, respectively. These have been made by hand, as a 
prequel to complete Professor-style tunings. 
 

     
The very first data to come out of the LHC showed a higher rapidity 
plateau than predicted for current PYTHIA 6 tunes, also for the lower 
energies. This may suggest some tension in the data. Two alternatives, 
3C and 3M, were produced by a few brute-force changes of 2C and 2M. 
These were introduced in 8.140, but discontinued in 8.145 in favour of 
the new 4C tune, that is based on a more serious study of some early 
LHC data, see [Cor10a]. Following the comparative studies in 
[Buc11], which independently confirmed a reasonable agreement 
with LHC data, tune 4C was made the default as of 8.150. A variant is 
tune 4Cx, where the Gaussian matter profile has an x-dependent 
width [Cor11]. 
 

     
Several ATLAS tunes have now been included, obtained with different PDFs 
and with different emphasis on minimum-bias and underlying-event data 
[ATL12]. These typically require LHAPDF to be linked, but this 
can be avoided in cases where the same PDF set is implemented internally. 
 

     
Central diffraction is a recent addition to the "soft QCD" process palette, 
and is thus not yet included in tunes; indeed its cross section is actively 
zeroed. You can switch it back on after you have selected your tune, 
with SigmaTotal:zeroAXB = off. But note that, since the 
total cross section is assumed unchanged, the nondiffractive cross section 
is reduced and thus also the MPI machinery affected, even if effects 
should not be big (for a small central diffractive cross section). 
 

     
Note that comparisons with data also require that other aspects agree, 
such as that decay chains are stopped at an agreed-on level. For instance, 
in the ATLAS tunes all particles with a lifetime above 10 mm 
are considered stable, ParticleDecays:limitTau0 = on, 
ParticleDecays:tau0Max = 10. We have chosen not to 
include this as part of the tune settings itself, since the tune as 
such could still be used with any other choice of stable and 
unstable particles. 
 

     
Further comparisons have been posted on the 
MCPLOTS pages. 
They have been produced with help of the 
Rivet package 
[Buc10]. 
 

     
In the future we hope to see further PYTHIA 8 tunes appear. Like with 
parton distributions, there is likely to be several tunes, because 
different sets of data will pull in different directions, by imperfections 
in the model or in the data, and by differences in the chosen 
tuning strategies. We therefore propose to collect some of these tunes 
here, in a prepackaged form. Of course, in all cases it is a matter 
of setting values for parameters already defined elsewhere, so the 
tunes offer no new functionality, only a more convenient setup. 
 

     
You should be aware that the evolution of the program will not guarantee 
complete backwards compatibility between versions. Most obviously this 
concerns bug fixes. But also for some other major changes, like the 
introduction of the new diffractive machinery, the default behaviour 
of old tunes has been changed retroactively. (Which should be fine for 
diffraction, since previous tunes were not based on data strongly 
influenced by diffraction.) 
 

     
The setup of the tunes is special, in that the choice of a tune forces 
the change of several different flags, modes and parameters. Furthermore 
a design principle has been that it should be possible to start out 
from a tune and then change a few of its settings. This gives power 
and flexibility at the expense of requiring a more careful ordering 
of commands. We therefore here sketch the order in which operations 
are carried out. 

       

    1. The constructor of a Pythia instance will read in 
all settings, and initialize them with their default values. 

      2.  

    2. At the end of this operation, the Tune:ee and 
Tune:pp modes (see further below) are checked. If either 
of them are positive the methods Settings::initTuneEE(...) 
and Settings::initTunePP(...), respectively, are called 
to overwrite the whole collection of settings in the relevant tune. 
Zero (or negative) means that nothing will be done. 

      3.  

    3. After the Pythia constructor all the relevant values 
for the default tune(s) have thus been set up. 

      4.  

    4. You as a user can now start to overwrite the values at will, 
using Pythia::readFile(...) to read a configuration file, 
or a list of Pythia::readString(...) commands, 
or the lower-level Settings methods. All changes 
are made in the order in which the commands are encountered during 
the execution. A given variable can be changed multiparton times, 
but it is the latest change that sets the current value. 

      5.  

    5. The two Tune:ee and Tune:pp modes can also 
be changed in exactly the same way as described for all other settings 
above. Unique for them, however, is that when one of them is encountered 
it also initiates a call to the initTuneEE(...) or 
initTunePP(...) method, respectively. In such cases all 
settings affected by the e^+e^- or pp/ppbar tune 
are first reset to the default values (the -1 options) 
and thereafter the relevant tune is set up. 

      6.  

    6. It is possible to mix commands of type 4 and 5 in any order; it 
is always the last change that counts. That is, any changes you have 
made to variables of a tune before a Tune:ee or 
Tune:pp command are overwritten by it, while variables 
you set after will overwrite the tune values. As a rule, 
therefore, you want to begin with the tune choice, and thereafter 
modify only a small part of its settings. 

      7.  

    7. Needless to say, the flexibility can lead to unwanted setups if 
you do not exercise some discipline. It is therefore recommended that 
you always check the listing obtained with 
Pythia::settings.listChanged() to confirm that the 
final set of changes is the intended one. 

      8.  

     
 

    mode   Tune:ee   
 (default = 0; minimum = -1; maximum = 7)
    
Choice of tune to e^+e^- data, mainly for the hadronization 
and timelike-showering aspects of PYTHIA. You should study the 
Settings::initTuneEE(...) method to find exactly which 
are the settings for the respective tune. 

    option  -1 : reset all values that are affected by any of the 
e^+e^- tunes to the default values. This option can be used 
on its own, but is also automatically used as a first step for either 
of the positive tune values below, to undo the effect of previous tune 
settings. 
   

    option  0 : no values are overwritten during the initial setup, 
step 2 above. Note that changing to 0 in the user code 
has no effect; if you want to restore the individual settings you 
should instead use -1. 
   

    option  1 : the original PYTHIA 8 parameter set, based on some 
very old flavour studies (with JETSET around 1990) and a simple tune 
of alpha_strong to three-jet shapes to the new 
pT-ordered shower. These were the default values before 
version 8.125. 
   

    option  2 : a tune by Marc Montull to the LEP 1 particle 
composition, as published in the RPP (August 2007). No related (re)tune 
to event shapes has been performed, however. 
   

    option  3 : a tune to a wide selection of LEP1 data by Hendrik 
Hoeth within the Rivet + Professor framework, both to hadronization and 
timelike-shower parameters (June 2009). These are the default values 
starting from version 8.125, so currently there is no need for this 
option. 
   

    option  4 : a tune to LEP data by Peter Skands, by hand, both 
to hadronization and timelike-shower parameters (September 2013). 
Note the use of the CMW convention for the shower alpha_s 
scale. 
   

    option  5 : first tune to LEP data by Nadine Fischer 
(September 2013), based on the default flavour-composition 
parameters. Input is event shapes (ALEPH and DELPHI), 
identified particle spectra (ALEPH), multiplicities (PDG), 
and B hadron fragmentation functions (ALEPH). 
   

    option  6 : second tune to LEP data by Nadine Fischer 
(September 2013). Similar to the first one, but event shapes 
are weighted up significantly, and multiplicites not included. 
   

    option  7 : the Monash 2013 tune by Peter Skands [Ska14],
to both e^+e^- and pp/pbarp data. Should be combined
with Tune:pp = 14.
   
   
 

    flag   Tune:preferLHAPDF   
 (default = on)
    
Tunes made by experimental collaborations typically use the LHAPDF 
package to obtain their PDF values, and so PYTHIA has to be linked 
accordingly. For PDFs implemented natively in PYTHIA it is possible 
to use the respective tunes, without having to link to LHAPDF, if you 
set Tune:preferLHAPDF = off before the 
Tune:pp choice. 
   
 

    mode   Tune:pp   
 (default = 5; minimum = -1; maximum = 14)
    
Choice of tune to pp/ppbar data, mainly for the 
initial-state-radiation, multiparton-interactions and  beam-remnants 
aspects of PYTHIA. Note that the previous crude (non-)tunes 
3C and 3M are removed as of 8.145, superseded by the 4C tune. 
You should study the Settings::initTunePP(...) method 
to find exactly which are the settings for the respective tune. 

    option  -1 : reset all values that are affected by any of the 
pp/ppbar tunes to the default values. This option can be used 
on its own, but is also automatically used as a first step for either 
of the positive tune values below, to undo the effect of previous tune 
settings. 
   

    option  0 : no values are overwritten during the initial setup, 
step 2 above. Note that changing to 0 in the user code 
has no effect; if you want to restore the individual settings you 
should instead use -1. 
   

    option  1 : default used up to version 8.126, based on 
some early and primitive comparisons with data. 
   

    option  2 : "Tune 1", default in 8.127 - 8.139, based on some 
data comparisons by Peter Skands. Largely but not wholly overlaps 
with the default option 0. 
   

    option  3 : "Tune 2C", introduced with 8.140 [Cor10a]. 
It uses the CTEQ 6L1 PDF, and is intended to give good agreement with 
much of the published CDF data. 
   

    option  4 : "Tune 2M", introduced with 8.140 [Cor10a]. 
It is uses the MRST LO** PDF, which has a momentum sum somewhat above 
unity, which is compensated by a smaller alpha_s than in the 
previous tune. Again it is intended to give good agreement with much of 
the published CDF data. 
   

    option  5 : "Tune 4C", new tune, introduced with 8.145 
[Cor10a]. Starts out from tune 2C, but with a reduced cross 
section for diffraction, plus modified multiparton interactions parameters 
to give a higher and more rapidly increasing charged pseudorapidity 
plateau, for better agreement with some early key LHC numbers. 
See also the comparative study in [Buc11]. 
   

    option  6 : "Tune 4Cx", based on tune 4C, but using the x-dependent 
matter profile, MultipartonInteractions:bProfile = 4 and an 
increased MultipartonInteractions:pT0Ref [Cor11]. 
   

    option  7 : "ATLAS MB Tune A2-CTEQ6L1", a minimum-bias tune based 
on tune 4Cx, but without rapidity-ordered spacelike emissions 
[ATL12]. Uses CTEQ 6L1, by default  from LHAPDF. 
   

    option  8 : "ATLAS MB Tune A2-MSTW2008LO", as above, 
but uses MSTW 2008 LO, by default from LHAPDF. 
   

    option  9 : "ATLAS UE Tune AU2-CTEQ6L1", an underlying-event tune 
based on tune 4Cx, but without rapidity-ordered spacelike emissions 
[ATL12]. Uses CTEQ 6L1, by default from LHAPDF. 
   

    option  10 : "ATLAS UE Tune AU2-MSTW2008LO", as above, 
but uses MSTW 2008 LO, by default from LHAPDF. 
   

    option  11 : "ATLAS UE Tune AU2-CT10", as above, 
but uses CT 10, which is not currently implemented in PYTHIA, 
so you must link LHAPDF. 
   

    option  12 : "ATLAS UE Tune AU2-MRST2007LO*", as above, 
but uses MRST 2007 LO*, by default from LHAPDF. 
   

    option  13 : "ATLAS UE Tune AU2-MRST2007LO**", as above, 
but uses MRST 2007 LO**, by default from LHAPDF. 
   

    option  14 : the Monash 2013 tune by Peter Skands [Ska14],
to both e^+e^- and pp/pbarp data. Should be combined
with Tune:ee = 7.
   
   
 


 
 
pythia8-8.1.86.orig/htmldoc/HiddenValleyProcesses.html0000644000175000017500000006250012357553535021136 0ustar  sunsun

Hidden Valley Processes




 

    Hidden Valley Processes
     
 
This Hidden Valley (HV) scenario has been developed specifically 
to allow the study of visible consequences of radiation in a 
hidden sector, by recoil effect. A key aspect is therefore that 
the normal timelike showering machinery has been expanded with a 
third kind of radiation, in addition to the QCD and QED ones. 
These three kinds of radiation are fully interleaved, i.e. 
evolution occurs in a common pT-ordered sequence. 
The scenario is described in [Car10]. Furthermore 
hadronization in the hidden sector has been implemented. 
Three main scenarios for production into and decay out of the 
hidden sector can be compared, in each case either for an 
Abelian or a non-Abelian gauge group in the HV. For further details 
see [Car11]. 
 

    Particle content and properties
     
 
For simplicity we assume that the HV contains an unbroken SU(N) 
gauge symmetry. This is used in the calculation of production cross 
sections. These could be rescaled by hand for other gauge groups. 
  

    mode   HiddenValley:Ngauge   
 (default = 3; minimum = 1)
    
is U(1) for Ngauge = 1, is SU(N) if 
Ngauge > 1. Note that pair production cross sections 
contains a factor of Ngauge for new particles 
in the fundamental representation of this group. 
   
 

     
A minimal HV particle content has been introduced. Firstly, there is 
a set of 12 particles that mirrors the Standard Model flavour 
structure, and is charged under both the SM and the HV symmetry groups. 
Each new particle couples flavour-diagonally to a corresponding SM 
state, and has the same SM charge and colour, but in addition is in 
the fundamental representation of the HV colour, as follows: 

    Dv, identity 4900001, partner to the normal 
d quark; 

    Uv, identity 4900002, partner to the normal 
u quark; 

    Sv, identity 4900003, partner to the normal 
s quark; 

    Cv, identity 4900004, partner to the normal 
c quark; 

    Bv, identity 4900005, partner to the normal 
b quark; 

    Tv, identity 4900006, partner to the normal 
t quark; 

    Ev, identity 4900011, partner to the normal 
e lepton; 

    nuEv, identity 4900012, partner to the normal 
nue neutrino; 

    MUv, identity 4900013, partner to the normal 
mu lepton; 

    nuMUv, identity 4900014, partner to the normal 
numu neutrino; 

    TAUv, identity 4900015, partner to the normal 
tau lepton; 

    nuTAUv, identity 4900016, partner to the normal 
nutau neutrino. 

    Collectively we will refer to these states as Fv; 
note, however, that they need not be fermions themselves. 
 

     
In addition the model contains the HV gauge particle, either 
a HV-gluon or a HV-photon, but not both; see Ngauge 
above: 

    gv, identity 4900021, is the massless 
gauge boson of the HV SU(N) group; 

    gammav, identity 4900022,  is the massless 
gauge boson of the HV U(1) group. 
 

     
Finally, for the basic HV scenario, there is a new massive particle 
with only HV charge sitting in the fundamental representation of the 
HV gauge group: 

    qv, identity 4900101. 
 

    The typical scenario would be for pair production of one of the 
states presented first above, e.g. g g → Dv Dvbar. 
Such a Dv can radiate gluons and photons like an SM quark, 
but in addition HV-gluons or HV-photons in a similar fashion. 
Eventually the Dv will decay like Dv → d + qv. 
The strength of this decay is not set as such, but is implicit in 
your choice of width for the Dv state. Thereafter the 
d and qv can radiate further within their 
respective sectors. The qv, gv or gammav 
are invisible, so their fate need not be considered further. 
 

     
While not part of the standard scenario, as an alternative there is 
also a kind of Z' resonance: 

    Zv, identity 4900023, a boson that can couple 
both to pairs of Standard Model fermions and to qv qvbar 
pairs. Mass, total width and branching ratios can be set as convenient. 

    This opens up for alternative processes 
l^+l^-, q qbar → Zv → qv qvbar. 
 

     
The possibility of a leakage back from the hidden sector will be 
considered in the Hadronization section below. For the U(1) 
case the gammav acquires a mass and can decay back to a 
Standard-Model fermion pair, while the qv remains invisible. 
The SU(N) alternative remains unbroken, so confinement holds 
and the gv is massless. A string like 
qv - gv - ... - gv - qvbar can break by the production of 
new qv - qvbar pairs, which will produce qv-qvbar 
mesons. It would be possible to build a rather sophisticated hidden 
sector by trivial extensions of the HV flavour content. For now, 
however, the qv can be duplicated in up to eight copies 
with the same properties except for the flavour charge. These are 
assigned codes 4900101 - 4900108. This gives a total of 64 possible 
lowest-lying mesons. We also include a duplication of that, into two 
multiplets, corresponding to the pseudoscalar and vector mesons of 
QCD. For now, again, these are assumed to have the same mass and 
other properties. Only the flavour-diagonal ones can decay back into 
the Standard-Model sector, however, while the rest remains in the 
hidden sector. It is therefore only necessary to distinguish a few 
states: 

    pivDiag, identity 4900111, a flavour-diagonal 
HV-meson with spin 0 that can decay back into the Standard-Model sector; 

    rhovDiag, identity 4900113, a flavour-diagonal 
HV-meson with spin 1 that can decay back into the Standard-Model sector; 

    pivUp, identity 4900211, an off-diagonal 
HV-meson with spin 0 that is stable and invisible, with an antiparticle 
pivDn with identity -4900211; the particle is 
the one where the code of the flavour is larger than that of the 
antiflavour; 

    rhovUp, identity 4900213, an off-diagonal 
HV-meson with spin 1 that is stable and invisible, with an antiparticle 
rhovDn with identity -4900213; again the particle is 
the one where the code of the flavour is larger than that of the 
antiflavour; 

    ggv, identity 4900991, is only rarely used, 
to handle cases where it is kinematically impossible to produce an 
HV-meson on shell, and it therefore is assumed to de-excite by the 
emission of invisible gv-gv  v-glueball bound states. 
 

     
Only the spin of the HV-gluon or HV-photon is determined unambiguously 
to be unity, for the others you can make your choice. 
  

    mode   HiddenValley:spinFv   
 (default = 1; minimum = 0; maximum = 2)
    
The spin of the HV partners of the SM fermions, e.g. 
Dv, Uv, Ev and nuEv. 

    option  0 : spin 0.   

    option  1 : spin 1/2.   

    option  2 : spin 1.   
   
  

    mode   HiddenValley:spinqv   
 (default = 0; minimum = 0; maximum = 1)
    
The spin of qv when the Fv (the HV partners of 
the SM fermions) have spin 1/2. (While, if they have spin 0 or 1, 
the qv spin is fixed at 1/2.) 

    option  0 : spin 0.   

    option  1 : spin 1.   
   
 

    parm   HiddenValley:kappa   
 (default = 1.)
    
If the Fv have spin 1 then their production 
cross section depends on the presence of anomalous magnetic dipole 
moment, i.e. of a kappa different from unity. For other spins 
this parameter is not used. 
   
 

    flag   HiddenValley:doKinMix   
 (default = off)
    
allow kinematic mixing or not. 
   
 

    parm   HiddenValley:kinMix   
 (default = 1.)
    
strength of kinetic mixing. 
   
  

     
You should set the Fv and qv masses appropriately, 
with the latter smaller than the former two to allow decays. 
When U(1) hadronization is switched on, you need to set the 
gammav mass and decay modes. For SU(N) hadronization 
the HV-meson masses should be set to match the qv ones. 
The simplest is to assume that m_qv defines a constituent 
mass, so that  m_HVmeson = 2 m_qv. The hvMesonDiag 
decay modes also need to be set. 
 

    Production processes
     
   

    flag   HiddenValley:all   
 (default = off)
    
Common switch for the group of all hard Hidden Valley processes, 
as listed separately in the following. 
   
   

    flag   HiddenValley:gg2DvDvbar   
 (default = off)
    
Pair production g g → Dv Dvbar. 
Code 4901. 
   
   

    flag   HiddenValley:gg2UvUvbar   
 (default = off)
    
Pair production g g → Uv Uvbar. 
Code 4902. 
   
   

    flag   HiddenValley:gg2SvSvbar   
 (default = off)
    
Pair production g g → Sv Svbar. 
Code 4903. 
   
   

    flag   HiddenValley:gg2CvCvbar   
 (default = off)
    
Pair production g g → Cv Cvbar. 
Code 4904. 
   
   

    flag   HiddenValley:gg2BvBvbar   
 (default = off)
    
Pair production g g → Bv Bvbar. 
Code 4905. 
   
   

    flag   HiddenValley:gg2TvTvbar   
 (default = off)
    
Pair production g g → Tv Tvbar. 
Code 4906. 
   
   

    flag   HiddenValley:qqbar2DvDvbar   
 (default = off)
    
Pair production q qbar → Dv Dvbar 
via intermediate gluon. 
Code 4911. 
   
   

    flag   HiddenValley:qqbar2UvUvbar   
 (default = off)
    
Pair production q qbar → Uv Uvbar 
via intermediate gluon. 
Code 4912. 
   
   

    flag   HiddenValley:qqbar2SvSvbar   
 (default = off)
    
Pair production q qbar → Sv Svbar 
via intermediate gluon. 
Code 4913. 
   
   

    flag   HiddenValley:qqbar2CvCvbar   
 (default = off)
    
Pair production q qbar → Cv Cvbar 
via intermediate gluon. 
Code 4914. 
   
   

    flag   HiddenValley:qqbar2BvBvbar   
 (default = off)
    
Pair production q qbar → Bv Bvbar 
via intermediate gluon. 
Code 4915. 
   
   

    flag   HiddenValley:qqbar2TvTvbar   
 (default = off)
    
Pair production q qbar → Tv Tvbar 
via intermediate gluon. 
Code 4916. 
   
   

    flag   HiddenValley:ffbar2DvDvbar   
 (default = off)
    
Pair production f fbar → Dv Dvbar 
via intermediate gamma*/Z^*. 
Code 4921. 
   
   

    flag   HiddenValley:ffbar2UvUvbar   
 (default = off)
    
Pair production f fbar → Uv Uvbar 
via intermediate gamma*/Z^*. 
Code 4922. 
   
   

    flag   HiddenValley:ffbar2SvSvbar   
 (default = off)
    
Pair production f fbar → Sv Svbar 
via intermediate gamma*/Z^*. 
Code 4923. 
   
   

    flag   HiddenValley:ffbar2CvCvbar   
 (default = off)
    
Pair production f fbar → Cv Cvbar 
via intermediate gamma*/Z^*. 
Code 4924. 
   
   

    flag   HiddenValley:ffbar2BvBvbar   
 (default = off)
    
Pair production f fbar → Bv Bvbar 
via intermediate gamma*/Z^*. 
Code 4925. 
   
   

    flag   HiddenValley:ffbar2TvTvbar   
 (default = off)
    
Pair production f fbar → Tv Tvbar 
via intermediate gamma*/Z^*. 
Code 4926. 
   
   

    flag   HiddenValley:ffbar2EvEvbar   
 (default = off)
    
Pair production f fbar → Ev Evbar 
via intermediate gamma*/Z^*. 
Code 4931. 
   
   

    flag   HiddenValley:ffbar2nuEvnuEvbar   
 (default = off)
    
Pair production f fbar → nuEv nuEvbar 
via intermediate gamma*/Z^*. 
Code 4932. 
   
     

    flag   HiddenValley:ffbar2MUvMUvbar   
 (default = off)
    
Pair production f fbar → MUv MUvbar 
via intermediate gamma*/Z^*. 
Code 4933. 
   
   

    flag   HiddenValley:ffbar2nuMUvnuMUvbar   
 (default = off)
    
Pair production f fbar → nuMUv nuMUvbar 
via intermediate gamma*/Z^*. 
Code 4934. 
   
 

    flag   HiddenValley:ffbar2TAUvTAUvbar   
 (default = off)
    
Pair production f fbar → TAUv TAUvbar 
via intermediate gamma*/Z^*. 
Code 4935. 
   
   

    flag   HiddenValley:ffbar2nuTAUvnuTAUvbar   
 (default = off)
    
Pair production f fbar → nuTAUv nuTAUvbar 
via intermediate gamma*/Z^*. 
Code 4936. 
   
   

    flag   HiddenValley:ffbar2Zv   
 (default = off)
    
Production f fbar → Zv where Zv is a generic 
resonance that couples both SM fermion pairs and a qv qvbar 
pair. Not part of the framework of the above processes, but as an 
alternative. Code 4941. 
   
 

    Timelike showers
     
 
One key point of this HV scenario is that radiation off the 
HV-charged particles is allowed. This is done by the standard 
final-state showering machinery. (HV particles are not produced 
in initial-state radiation.) All the (anti)particles Fv 
and qv have one (negative) unit of HV charge. That is, 
radiation closely mimics the one in QCD. Both QCD, QED and HV 
radiation are interleaved in one common sequence of decreasing 
emission pT scales. Each radiation kind defines a set of 
dipoles, usually spanned between a radiating parton and its recoil 
partner, such that the invariant mass of the pair is not changed 
when a radiation occurs. This need not follow from trivial colour 
assignments, but is often obvious. For instance,  in a decay 
Qv → q + qv the QCD dipole is between the q and 
the hole after Qv, but qv becomes the recoiler 
should a radiation occur, while the role of q and qv 
is reversed for HV radiation. 
 

    This also includes matrix-element corrections for a number 
of decay processes, with colour, spin and mass effects included 
[Nor01]. They were calculated within the context of the 
particle content of the MSSM, however, which does not include spin 1 
particles with unit colour charge. In such cases spin 0 is assumed 
instead. By experience, the main effects come from mass and colour 
flow anyway, so this is not a bad approximation. (Furthermore the 
MSSM formulae allow for gamma_5 factors from wave 
functions or vertices; these are even less important.) 
 

    An emitted gv can branch in its turn, 
gv → gv + gv. This radiation may affect momenta 
in the visible sector by recoil effect, but this is a minor 
effect relative to the primary emission of the gv. 
 

    flag   HiddenValley:FSR   
 (default = off)
    
switch on final-state shower of gv or gammav 
in a HV production process. 
   
 

    parm   HiddenValley:alphaFSR   
 (default = 0.1; minimum = 0.0)
    
fixed alpha scale of gv/gammav emission; corresponds to 
alpha_strong of QCD or alpha_em of QED. For 
shower branchings such as Dv → Dv + gv the coupling is 
multiplied by C_F = (N^2 - 1) / (2 * N) for an 
SU(N) group and for gv → gv + gv by N. 
   
 

    parm   HiddenValley:pTminFSR   
 (default = 0.4; minimum = 0.1)
    
lowest allowed pT of emission. Chosen with same default 
as in normal QCD showers. 
   
 

    Hadronization
     
 
By default the HV particles with no Standard Model couplings 
are not visible. Their presence can only be deduced by the 
observation of missing (transverse) momentum in the event as a 
whole. In the current implementation it is possible to simulate 
two different scenarios where activity can leak back from the 
hidden sector. 
 

     
The first possibility is relevant for the U(1) scenario. 
The U(1) group may be broken, so that the gammav 
acquires a mass. Furthermore, the gammav may have a 
small mixing angle with the normal photon, or with some Z' 
state or other mediator, and may thus decay back into Standard 
Model particles. The qv still escapes undetected; 
recall that there is no confinement in the U(1) option. 
 

     
In order to enable this machinery two commands are necessary, 
4900022:m0 = ... to set the  gammav mass 
to the desired value, and 4900022:onMode = on to enable 
gammav decays. The default gammav decay 
table contains all Standard Model fermion-antifermion pairs, 
except top, with branching ratios in proportion to their coupling 
to the photon, whenever the production channel is allowed by 
kinematics. This table could easily be tailored to more specific 
models and needs. For instance, for a mass below 1 - 2 GeV, it 
would make sense to construct a table of exclusive hadronic decay 
channels rather than go the way via a hadronizing quark pair. 
 

     
The gammav are expected to decay so rapidly that no 
secondary vertex will be detectable. However, it is possible to 
set 4900022:tau0 to a finite lifetime (in mm) that 
will be used to create separated secondary vertices. 
 

     
The second, more interesting, possibility is relevant for the 
SU(N) scenarios. Here the gauge group remains unbroken, i.e. 
gv is massless, and the partons are confined. Like in 
QCD, the HV-partons can therefore be arranged in one single 
HV-colour-ordered chain, with a qv in one end, a 
qvbar in the other, and a varying number of 
gv in between. Each event will only contain (at most) 
one such string, (i) since perturbative branchings 
gv → qv qvbar have been neglected, as is a reasonable 
approximation for QCD, and (ii) since HV-colours are assigned in the 
N_C → infinity limit, just like in the handling of 
string fragmentation in QCD. The HV-string can then fragment by the 
nonperturbative creation of qv qvbar pairs, leading to 
the formation of HV-mesons along the string, each with its 
qv from one vertex and its qvbar from 
the neighbouring one. 
 

     
Since, so far, we have only assumed there to be one qv 
species, all produced qv qvbar HV-mesons are of the 
same flavour-diagonal species. Such an HV-meson can decay back to 
the normal sector, typically by whatever mediator particle allowed 
production in the first place. In this framework the full energy put 
into the HV sector will leak back to the normal one. To allow more 
flexibility, an ad hoc possibility of n_Flav different 
qv species is introduced. For now they are all assumed 
to have the same mass and other properties, but distinguished by 
some flavour-like property. Only the flavour-diagonal ones can decay, 
meaning that only a fraction (approximately) 1/n_Flav of the 
HV-energy leaks back, while the rest remains in the hidden sector. 
 

     
This scenario contains more parameters than the first one, for the 
U(1) group. They can be subdivided into two sets. One is 
related to particle properties, both for qv and for the 
two different kinds of HV-mesons, here labeled 4900111 and 4900113 
for the diagonal ones, and +-4900211 and +-4900213 for the 
off-diagonal ones. It makes sense to set the HV-meson masses to be 
twice the qv one, as in a simple constituent mass context. 
Furthermore the hvMesonDiag decay modes need to be set up. 
Like with the 
gammav in the U(1) option, the default decay table 
is based on the branching ratios of an off-shell photon. 
 

     
The second set are fragmentation parameters that extend or replace 
the ones used in normal string fragmentation. Some of them are not 
encoded in the same way as normally, however, but rather scale as 
the qv mass is changed, so as to keep a sensible default 
behaviour. This does not mean that deviations from this set should 
not be explored, or that other scaling rules could be preferred 
within alternative scenarios. These parameters are as follows. 
 

    flag   HiddenValley:fragment   
 (default = off)
    
switch on string fragmentation of the HV partonic system. 
Only relevant for SU(N) scenarios. 
   
   

    mode   HiddenValley:nFlav   
 (default = 1; minimum = 1; maximum = 8)
    
number of different flavours assumed to exist in the hadronization 
description, leading to approximately 1/n_Flav of the 
produced HV-mesons being flavour-diagonal and capable to decay back 
to Standard Model particles. 
   
   

    parm   HiddenValley:probVector   
 (default = 0.75; minimum = 0.; maximum = 1.)
    
fraction of HV-mesons that are assigned spin 1 (vector), with the 
remainder spin 0 (pseudoscalar). Assuming the qv have 
spin 1/2 and the mass splitting is small, spin counting 
predicts that 3/4 of the mesons should have spin 1. 
   
 

    parm   HiddenValley:aLund   
 (default = 0.3; minimum = 0.0; maximum = 2.0)
    
The a parameter of the Lund symmetric fragmentation function. 
See the normal fragmentation 
function description for the shape of this function.   
 

    parm   HiddenValley:bmqv2   
 (default = 0.8; minimum = 0.2; maximum = 2.0)
    
The b parameter of the Lund symmetric fragmentation function, 
multiplied by the square of the qv mass. This scaling ensures 
that the fragmentation function keeps the same shape when the 
qv mass is changed (neglecting transverse momenta). 
   
 

    parm   HiddenValley:rFactqv   
 (default = 1.0; minimum = 0.0; maximum = 2.0)
    
r_qv, i.e. the Bowler correction factor to the Lund symmetric 
fragmentation function, which could be made weaker or stronger than 
its natural value. 
   
 

    parm   HiddenValley:sigmamqv   
 (default = 0.5; minimum = 0.0)
    
the width sigma of transverse momenta in the HV fragmentation 
process, normalized to the qv mass. This ensures that 
sigma scales proportionately to m_qv. 
See the normal fragmentation 
pT description for conventions for factors of 2. 
   
  


 
 
 
pythia8-8.1.86.orig/htmldoc/TotalCrossSections.html0000644000175000017500000002605412357553535020510 0ustar  sunsun

Total Cross Sections




 

    Total Cross Sections
     
 
The SigmaTotal class returns the total, elastic, diffractive 
and nondiffractive cross sections in hadronic collisions, and also the 
slopes of the d(sigma)/dt distributions. Most of the parametrizations 
used are from [Sch94, Sch97] which borrows some of the total cross 
sections from [Don92]. If you use the MBR (Minimum Bias Rockefeller) 
model [Cie12], Diffraction:PomFlux = 5, this model 
contains its own parametrizations of all cross sections in p p 
and pbar p collisions. 
 

     
There are strong indications that the currently implemented diffractive 
cross section parametrizations, which should be in reasonable agreement 
with data at lower energies, overestimate the diffractive rate at larger 
values. If you wish to explore this (or other) aspect, it is possible to 
override the cross section values in two different ways. The first offers 
(almost) complete freedom, but needs to be defined separately for each 
CM energy, while the second introduces a simpler parametrized damping. 
The two cannot be combined. Furthermore the Coulomb term for elastic 
scattering, which by default is off, can be switched on. 
 

     
The allowed combinations of incoming particles are p + p, 
pbar + p, pi+ + p, pi- + p, 
pi0/rho0 + p, phi + p, J/psi + p, 
rho + rho, rho + phi, rho + J/psi, 
phi + phi, phi + J/psi, J/psi + J/psi. 
The strong emphasis on vector mesons is related to the description 
of gamma + p and gamma + gamma interactions in a 
Vector Dominance Model framework (which will not be available for some 
time to come, so this is a bit of overkill). Nevertheless, the sections 
below, with allowed variations, are mainly intended to make sense for 
p + p. 
 

    Central diffraction
     
 
Central diffraction (CD), a.k.a. double Pomeron exchange (DPE), was not 
part of the framework in [Sch94]. It has now been added for 
multiparticle states, i.e. excluding the resonance region below 1 GeV 
mass, as well as other exclusive states, but only for p p or 
pbar p. It uses the same proton-Pomeron vertex as in single 
diffraction, twice, to describe x_Pomeron and t spectra. 
This fixes the energy dependence, which has been integrated and 
parametrized. The absolute normalization has been left open, however. 
Furthermore, since CD has not been included in previous tunes to data, 
a special flag is available to reproduce the old behaviour (with due 
complications when one does not want to do this). 
 

    parm   SigmaTotal:sigmaAXB2TeV   
 (default = 1.5; minimum = 0.)
    
The CD cross section for p p and pbar p collisions, 
normalized to its value at 2 TeV CM energy, expressed in mb. The energy 
dependence is then parametrized, and behaves roughly like 
ln^1.5(s). Is used for the options 
Diffraction:PomFlux = 1 - 4, while the MBR model 
(= 5) has its own parametrization. 
   
 

    flag   SigmaTotal:zeroAXB   
 (default = off)
    
several existing tunes do not include CD. 
An inclusion of a nonvanishing CD cross section directly affects 
the nondiffractive phenomenology (even if not dramatically), and so 
this flag is used to switch off the CD cross section in such tunes. 
You can switch it back on after the selection of a tune, if you 
so wish. This option has no effect for the MBR model 
(Diffraction:PomFlux = 5), where the CD cross section 
has been included from the onset. 
   
 

    Set cross sections
     
 

    flag   SigmaTotal:setOwn   
 (default = off)
    
Allow a user to set own cross sections by hand; on/off = true/false. 
   
 

     
When SigmaTotal:setOwn = on, the user is expected to set 
values for the corresponding cross sections: 
 

    parm   SigmaTotal:sigmaTot   
 (default = 80.; minimum = 0.)
    
Total cross section in mb. 
   
 

    parm   SigmaTotal:sigmaEl   
 (default = 20.; minimum = 0.)
    
Elastic cross section in mb. 
   
 

    parm   SigmaTotal:sigmaXB   
 (default = 8.; minimum = 0.)
    
Single Diffractive cross section A + B → X + B in mb. 
   
 

    parm   SigmaTotal:sigmaAX   
 (default = 8.; minimum = 0.)
    
Single Diffractive cross section A + B → A + X in mb. 
   
 

    parm   SigmaTotal:sigmaXX   
 (default = 4.; minimum = 0.)
    
Double Diffractive cross section A + B → X_1 + X_2 in mb. 
   
 

    parm   SigmaTotal:sigmaAXB   
 (default = 1.; minimum = 0.)
    
Central Diffractive cross section A + B → A + X + B in mb. 
   
 

     
Note that the total cross section subtracted by the elastic and various 
diffractive ones gives the inelastic nondiffractive cross section, 
which therefore is not set separately. If this cross section evaluates 
to be negative the internal parametrizations are used instead of the 
ones here. However, since the nondiffractive inelastic cross section 
is what makes up the minimum-bias event class, and plays a major role 
in the description of multiparton interactions, it is important that a 
consistent set is used. 
 

    Dampen diffractive cross sections
     
 
As already noted, unitarization effects may dampen the rise of diffractive 
cross sections relative to the default parametrizations. The settings 
here allows one way to introduce a dampening, which is used in some 
of the existing tunes. 
 

    flag   SigmaDiffractive:dampen   
 (default = no)
    
Allow a user to dampen diffractive cross sections; on/off = true/false. 
   
 

     
When SigmaDiffractive:dampen = on, the three diffractive 
cross sections are damped so that they never can exceed the respective 
values below. Specifically, if the standard parametrization gives 
the cross section sigma_old(s) and a fixed sigma_max 
is set, the actual cross section becomes sigma_new(s) 
= sigma_old(s) * sigma_max / (sigma_old(s) + sigma_max). 
This reduces to sigma_old(s) at low energies and to 
sigma_max at high ones. Note that the asymptotic value 
is approached quite slowly, however. 
 

    parm   SigmaDiffractive:maxXB   
 (default = 15.; minimum = 0.)
    
The above sigma_max for A + B → X + B in mb. 
   
 

    parm   SigmaDiffractive:maxAX   
 (default = 15.; minimum = 0.)
    
The above sigma_max for A + B → A + X in mb. 
   
 

    parm   SigmaDiffractive:maxXX   
 (default = 15.; minimum = 0.)
    
The above sigma_max for A + B → X_1 + X_2 in mb. 
   
 

    parm   SigmaDiffractive:maxAXB   
 (default = 3.; minimum = 0.)
    
The above sigma_max for A + B → A + X + B in mb. 
   
 

     
As above, a reduced diffractive cross section automatically translates 
into an increased nondiffractive one, such that the total (and elastic) 
cross section remains fixed. 
 
  

    Set elastic cross section
     
 

     
In the above option the t slopes are based on the internal 
parametrizations. In addition there is no Coulomb-term contribution 
to the elastic (or total) cross section, which of course becomes 
infinite if this contribution is included. If you have switched on 
SigmaTotal:setOwn you can further switch on a machinery 
to include the Coulomb term, including interference with the conventional 
strong-interaction Pomeron one [Ber87]. Then the elastic cross 
section is no longer taken from SigmaTotal:sigmaEl but 
derived from the parameters below and SigmaTotal:sigmaTot, 
using the optical theorem. The machinery is only intended to be used for 
p p and pbar p collisions. The description of 
diffractive events, and especially their slopes, remains unchanged. 
 

    flag   SigmaElastic:setOwn   
 (default = no)
    
Allow a user to set parameters for the normalization and shape of the 
elastic cross section the by hand; yes/no = true/false. 
   
 

    parm   SigmaElastic:bSlope   
 (default = 18.; minimum = 0.)
    
the slope b of the strong-interaction term exp(bt), 
in units of GeV^-2. 
   
 

    parm   SigmaElastic:rho   
 (default = 0.13; minimum = -1.; maximum = 1.)
    
the ratio of the real to the imaginary parts of the nuclear scattering 
amplitude. 
   
 

    parm   SigmaElastic:lambda   
 (default = 0.71; minimum = 0.1; maximum = 2.)
    
the main parameter of the electric form factor 
G(t) = lambda^2 / (lambda + |t|)^2, in units of GeV^2. 
   
 

    parm   SigmaElastic:tAbsMin   
 (default = 5e-5; minimum = 1e-10)
    
since the Coulomb contribution is infinite a lower limit on 
|t| must be set to regularize the divergence, 
in units of GeV^2. 
   
 

    parm   SigmaElastic:phaseConst   
 (default = 0.577)
    
The Coulomb term is taken to contain a phase factor 
exp(+- i alpha phi(t)), with + for p p and - for 
pbar p, where phi(t) = - phaseConst - ln(-B t/2). 
This constant is model dependent [Cah82]. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/TopProcesses.html0000644000175000017500000000420112357553535017322 0ustar  sunsun

Top Processes




 

    Top Processes
     
 
Different ways to produce top quarks, singly or in pairs. 
 

    flag   Top:all   
 (default = off)
    
Common switch for the group of top production. 
   
 

    flag   Top:gg2ttbar   
 (default = off)
    
Scatterings g g → t tbar. 
Code 601. 
   
 

    flag   Top:qqbar2ttbar   
 (default = off)
    
Scatterings q qbar → t tbar by gluon exchange. 
Code 602. 
   
 

    flag   Top:qq2tq(t:W)   
 (default = off)
    
Scatterings q q' → t q'' by t-channel exchange 
of a W^+- boson. 
Code 603. 
   
 

    flag   Top:ffbar2ttbar(s:gmZ)   
 (default = off)
    
Scatterings f fbar → t tbar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 604. 
   
 

    flag   Top:ffbar2tqbar(s:W)   
 (default = off)
    
Scatterings f fbar' → t q'' by s-channel exchange 
of a W^+- boson. 
Code 605. 
   
 

    flag   Top:gmgm2ttbar   
 (default = off)
    
Scatterings gamma gamma → t tbar. 
Code 606. 
   
 

     
By default top always decays to a W and a down-type quark. 
It is possible to switch on the t → H+ b decay mode. 
Note that its partial width is calculated using the tan(beta) 
value stored in HiggsHchg:tanBeta, so that it can be used 
without having to read in a SUSY parameter file. For the H+ to 
decay also Higgs:useBSM = on is necessary. 
 


 
 
 
pythia8-8.1.86.orig/htmldoc/LeptoquarkProcesses.html0000644000175000017500000000743112357553535020717 0ustar  sunsun

Leptoquark Processes




 

    Leptoquark Processes
     
 
Leptoquarks arise in many scenarios, and can have widely different 
characteristics, with respect to spin, isospin am d flavour. 
The current implementation in no sense attempts to exhaust these 
possibilities, but only to encode one of the simplest possibilities, 
with a single scalar leptoquark, denoted LQ and assigned PDG 
code 42. The leptoquark is assumed to carry specific quark 
and lepton quantum numbers, by default u quark plus electron. 
These flavour numbers are conserved, i.e. a process such as 
u e^- → LQ → d nu_e is not allowed. 
   

     
Although only one leptoquark is implemented, its flavours may be 
changed arbitrarily to study the different possibilities. The 
flavours of the leptoquark are defined by the quark and lepton 
flavours in the decay mode list. Therefore, to change from the 
current u e^- to c mu^+, say, you only need 
a line 

    pythia.readString("42:0:products = 4 -13"); 

    in your main program, or the equivalent in a command file. 
The former must always be a quark, while the latter could be a lepton 
or an antilepton; a charge-conjugate partner is automatically defined 
by the program. At initialization, the charge is recalculated as a 
function of the flavours defined; also the leptoquark name is redefined 
to be of the type LQ_q,l, where actual quark and lepton 
flavours are displayed. 
   

     
The leptoquark is likely to be fairly long-lived, in which case it 
could have time to fragment into a mesonic- or baryonic-type state, which 
would decay later on. Currently this possibility is not handled; therefore 
the leptoquark is always assumed to decay before fragmentation. 
For that reason the leptoquark can also not be put stable. 
 

    Production processes
     
 
Four production processes have been implemented, which normally would 
not overlap and therefore could be run together. 
 

    flag   LeptoQuark:all   
 (default = off)
    
Common switch for the group of lowest-order LQ production 
processes, i.e. the four ones below. 
   
 

    flag   LeptoQuark:ql2LQ   
 (default = off)
    
Scatterings q l → LQ. 
Code 3201. 
   
 

    flag   LeptoQuark:qg2LQl   
 (default = off)
    
Scatterings q g → LQ l. 
Code 3202. 
   
 

    flag   LeptoQuark:gg2LQLQbar   
 (default = off)
    
Scatterings g g → LQ LQbar. 
Code 3203. 
   
 

    flag   LeptoQuark:qqbar2LQLQbar   
 (default = off)
    
Scatterings q qbar → LQ LQbar. 
Code 3204. 
   
 

    Parameters
     
 
In the above scenario the main free parameters are the leptoquark flavour 
content, set as already described, and the LQ mass, set as usual. 
In addition there is one further parameter. 
 

    parm   LeptoQuark:kCoup   
 (default = 1.0; minimum = 0.0)
    
multiplicative factor in the LQ → q l squared Yukawa coupling, 
and thereby in the LQ width and the q l → LQ and 
other cross sections. Specifically, lambda^2/(4 pi) = k alpha_em, 
i.e. it corresponds to the $k$ factor of [Hew88]. 
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/EventStatistics.html0000644000175000017500000001433712357553536020041 0ustar  sunsun

Event Statistics




 

    Event Statistics
     
 
At the end of the run you will want to write out the final statistics 
on number of events generated, the corresponding cross sections and 
the number of errors encountered. This is done either with the 
pythia.stat() method or the pythia.statistics() 
one, assuming pythia is an instance of the 
Pythia class.The former method is steered entirely by 
settings values, see here. 
The latter, deprecated one instead takes two arguments: 
  


    void Pythia::statistics(bool all = false, bool reset = false)   
    
write out statistics on cross sections and errors. This is based on 
calls to the methods below, for the two kinds of information. 

    argument all   :  
if true it allows a more extensive listing than the default 
one, see multiparton-interactions statistics below. 
   

    argument reset   :  if true it implies that all counters, 
e.g on events generated and errors experienced, are reset to zero whenever 
the routine is called. The default instead is that all stored 
statistics information is unaffected by the call. 
Counters are automatically reset in each new Pythia::init() 
call, however, so the only time the reset option makes a 
difference is if statistics(...) is called several times 
in a (sub)run. 
   
   
 

    Cross-section statistics
     
 
The ProcessLevel::statistics() method cannot be accessed 
directly, but only via the Pythia::stat() and 
Pythia::statistics(...) calls above. 
When called it will loop over the list of existing processes, and for 
each write out name, code, the number of tried, selected and accepted 
events, the cross section and the estimated error on the latter. 
The three different event numbers are related to the Monte Carlo method 
used, whereby an initial upper estimate of the cross section is used to 
select a large number of trial phase-space points, whereof then not all 
survive. Rejections are normally done by the internal machinery, but can 
also be obtained by user hooks. 
Therefore: 

       

    • tried events reflect the original number of 
phase-space points probed, as part of the upper estimate;
      •  

    • selected events correspond to those that survive 
the internal Monte-Carlo selection procedure;
      •  

    • accepted events are those that also survive 
the additional user cuts.
      •  

     
In most runs there would be no user hooks implemented, and then the 
numbers of selected and of accepted events will agree. Aborted events 
(see below) usually appear in the selected statistics but not in the 
accepted one. 
 

     
For Les Houches events the total cross section will be correctly 
displayed; however the (optional) error value will not be used, so that 
the reported error will be smaller than the correct statistical ones, 
and often vanish completely. Furthermore, while the number of events 
is shown for each user process, the cross section is only for the sum 
of them. 
 

    Error messages
     
 
When Pythia is run, errors may occur, and give rise to warning messages. 
These may be of varying severity, as follows: 

       

    • Abort means things went seriously wrong, and the 
initialization or event generation failed. In the former case it is 
not possible to generate events at all, in the latter the current 
event is flawed and should be skipped. In either case the respective 
method, Pythia::init() or Pythia::next(), 
then also returns the value false. There are occasions 
where an abort may be deliberate, such as when a file of Les Houches 
Events is read and the end of the file is reached.
      •  

    • Error normally is less severe. Typically the program will 
back up one step and try again. There are cases where this is not possible, 
in particular during the initialization and the generation of a hard 
process, and then the error may be followed by an abort as a direct 
consequence (with two separate messages).
      •  

    • Warning is even less severe. In some cases the program will 
try again, with  good chances of success, in others no measure at all 
need to be taken.
      •  

     
 

     
The error messages is handled by a small part of the Info 
class. It is handed any abort, error or warning messages during the event 
generation phase, and will store each distinct message, with a counter 
for how many times it is issued. Thus it is possible to limit the number 
of identical messages issued, currently hardcoded so that each kind of 
error message is only printed once 
(static const int TIMESTOPRINT = 1). 
This can be overridden by the calling routine, so that all messages of 
this kind are shown, which is particularly relevant for the 
initialization  stage. 
The summary table printed by Pythia::statistics() 
provides a table with all the different messages issued, in 
alphabetical order, with the total number of times each was generated. 
 

    Multiparton-interactions statistics
     
 
If you call Pythia::statistics(true), i.e. with the first 
optional argument true, also statistics on multiparton 
interactions is printed, comprising a list of all allowed subprocesses 
with how many times each of them has been generated. For the nondiffractive 
process this also includes the hardest interaction, while else the 
hardest process is excluded from the statistics. (This is because 
the hardest process is of the same character and generated by the same 
machinery in the former case but not in the latter. Also, for the 
former case only, the standard statistics listing only lists 
nondiffractive as one single process, i.e. does not further specify 
the character of the hardest subprocess, so there is not any overlap 
between the two.) 
 


 
 
pythia8-8.1.86.orig/htmldoc/JetFinders.html0000644000175000017500000000516412357553536016740 0ustar  sunsun

Jet Finders




 

    Jet Finders
     
 
Pythia comes with three built-in 
jet finders, ClusterJet for e^+e^- events 
and SlowJet and CellJetfor hadron collider ones. 
Especially the latter is not so well matched to the standards of its field, 
however. (But it is closely related to the anti-kT algorithm, 
so is also not completely disconnected [Cac08].) 
 

     
SlowJet can do jet finding according to the current-day 
kT, Cambridge/Aachen and anti-kT algorithms. 
It can be run in two modes. The original one is a native implementation 
which, as the name indicates, is rather slow. However, with the release 
of the fjcore code from FastJet 
[Cac06, Cac12], the default mode has become to use the 
fjcore methods. This is transparent to the user. 
 

    FastJet
     
 
SlowJet does not exhaust all the posssibilities of the 
fjcore code, so users are welcome to extend on the existing 
functionality by a direct usage of the fjcore methods. 
 

     
Missing from fjcore is a number of aspects, such as 
jet areas functionality, background estimation, access to other algorithms 
via plugins, interface to CGAL and tools such as filters and taggers. 
Therefore, for more sophisticated jet studies the complete 
FastJet package needs to be linked. This is foreseen in the 
configure file in the examples subdirectory, and the 
main71.cc and main72.cc programs contain 
examples how it can be used with Pythia events. (Even if 
these examples do not go beyond the functionality that 
SlowJet can offer.) 
 

     
The latter program makes use of the include/Pythia8/FastJet3.h 
header file, contributed by Gavin Salam. This allows simple input 
of a Pythia particle into a FastJet one, 
either retaining only the four-momentum or the full particle information. 
Thereby more sophisticated selectors become possible at the 
FastJet level. This code could be duplicated, with trivial 
modifications, to augment the fjcore package functionality 
in an identical manner, should the need arise. 
 


 
 
pythia8-8.1.86.orig/htmldoc/StandardModelParameters.html0000644000175000017500000003727312357553535021455 0ustar  sunsun

Standard-Model Parameters




 

    Standard-Model Parameters
     
 

    The strong coupling
     
 
The AlphaStrong class is used to provide a first- or 
second-order running alpha_strong (or, trivially, a 
zeroth-order fixed one). Formulae are the standard ones found in 
[Yao06]. The second-order expression used, eq. (9.5), 
may be somewhat different in other approaches (with differences 
formally of higher order), so do not necessarily expect perfect 
agreement, especially not at small Q^2 scales. The starting 
alpha_strong value is defined at the M_Z mass scale. 
The Lambda values are matched at the c, b 
and t flavour thresholds, 
such that alpha_strong is continuous. 
For second-order matching an approximate iterative method is used. 
 

     
For backwards compatibility, 
the following global switch determines whether 5- or 6-flavour running 
will be used above the t threshold: 

    mode   StandardModel:alphaSnfmax   
 (default = 6; minimum = 5; maximum = 6)
    

    option  5 : Use 5-flavour running for all scales above the 
b flavour threshold (old default).   

    option  6 : Use 6-flavour running above the t threshold 
(new default).   
   
  

     
Since we allow alpha_strong to vary separately for 
hard processes, timelike showers, spacelike showers and  multiparton 
interactions, all other relevant values are set in each of these classes. 
The default behaviour is everywhere first-order running. 
 

     
The alpha_strong calculation is initialized by 
init( value, order, nfmax), where value 
is the alpha_strong value at M_Z, order 
is the order of the running, 0, 1 or 2, and nfmax 
is the highest number of flavours to include in the running. Thereafter 
the value can be calculated by alphaS(scale2), where 
scale2 is the Q^2 scale in GeV^2. 
 

     
For applications inside shower programs, a second-order alpha_s 
value can be obtained as the product of the two functions 
alphaS1Ord(scale2) and alphaS2OrdCorr(scale2), 
where the first gives a simple first-order running (but with the 
second-order Lambda) and the second the correction factor, 
below unity, for the second-order terms. This allows a compact handling 
of evolution equations. 
 

     
Resummation arguments [Cat91] show that a set of 
universal QCD corrections can be absorbed in coherent parton showers by 
applying the so-called CMW rescaling of the MSbar value of 
Lambda_QCD. This can be accomplished via a fourth (optional) 
boolean argument to init( value, order, nfmax, useCMW), 
with default value useCMW = false. When set to 
true, the translation amounts to an N_F-dependent 
rescaling of Lambda_QCD, relative to its MSbar value, by 
a factor 1.661 for NF=3, 1.618 for NF=4, 1.569 for NF=5, 
and 1.513 for NF=6. When using this option, 
be aware that the original CMW arguments were derived using two-loop running 
and that the CMW rescaling may need be taken into account in the context of 
matrix-element matching. Note also that this option has only been made 
available for timelike and spacelike showers, not for hard processes. 
  

    The electromagnetic coupling
     
 
The AlphaEM class is used to generate a running 
alpha_em. The input StandardModel:alphaEMmZ 
value at the M_Z mass is matched to a low-energy behaviour 
with running starting at the electron mass threshold. The matching 
is done by fitting an effective running coefficient in the region 
between the light-quark threshold and the charm/tau threshold. This 
procedure is approximate, but good enough for our purposes. 
 

     
Since we allow alpha_em to vary separately for 
hard processes, timelike showers, spacelike showers and  multiparton 
interactions, the choice between using a fixed or a running 
alpha_em can be made in each of these classes. 
The default behaviour is everywhere first-order running. 
The actual values assumed at zero momentum transfer and 
at M_Z are only set here, however. 
 

    parm   StandardModel:alphaEM0   
 (default = 0.00729735; minimum = 0.0072973; maximum = 0.0072974)
    
The alpha_em value at vanishing momentum transfer 
(and also below m_e). 
   
 

    parm   StandardModel:alphaEMmZ   
 (default = 0.00781751; minimum = 0.00780; maximum = 0.00783)
    
The alpha_em value at the M_Z mass scale. 
Default is taken from [Yao06]. 
   
 

     
The alpha_em calculation is initialized by 
init(order), where order is the order of 
the running, 0 or 1, with -1 a special option to use the fix value 
provided at M_Z.   Thereafter the value can be 
calculated by alphaEM(scale2), where 
scale2 is the Q^2 scale in GeV^2. 
 

    The electroweak couplings
     
 
There are two degrees of freedom that can be set, related to the 
electroweak mixing angle: 
 

    parm   StandardModel:sin2thetaW   
 (default = 0.2312; minimum = 0.225; maximum = 0.240)
    
The sine-squared of the weak mixing angle, as used in all Z^0 
and W^+- masses and couplings, except for the vector couplings 
of fermions to the Z^0, see below. Default is the MSbar value 
from [Yao06]. 
   
 

    parm   StandardModel:sin2thetaWbar   
 (default = 0.2315; minimum = 0.225; maximum = 0.240)
    
The sine-squared of the weak mixing angle, as used to derive the vector 
couplings of fermions to the Z^0, in the relation 
v_f = a_f - 4 e_f sin^2(theta_W)bar. Default is the 
effective-angle value from [Yao06]. 
   
 

     
The Fermi constant is not much used in the currently coded matrix elements, 
since it is redundant, but it is available: 
 

    parm   StandardModel:GF   
 (default = 1.16637e-5; minimum = 1.0e-5; maximum = 1.3e-5)
    
The Fermi coupling constant, in units of GeV^-2. 
   
 

    The quark weak-mixing matrix
     
 
The absolute values of the Cabibbo-Kobayashi-Maskawa matrix elements are 
set by the following nine real values taken from [Yao06] - 
currently the CP-violating phase is not taken into account in this 
parametrization. It is up to the user to pick a consistent unitary 
set of new values whenever changes are made. 
 

    parm   StandardModel:Vud   
 (default = 0.97383; minimum = 0.973; maximum = 0.975)
    
The V_ud CKM matrix element. 
   
 

    parm   StandardModel:Vus   
 (default = 0.2272; minimum = 0.224; maximum = 0.230)
    
The V_us CKM matrix element. 
   
 

    parm   StandardModel:Vub   
 (default = 0.00396; minimum = 0.0037; maximum = 0.0042)
    
The V_ub CKM matrix element. 
   
 

    parm   StandardModel:Vcd   
 (default = 0.2271; minimum = 0.224; maximum = 0.230)
    
The V_cd CKM matrix element. 
   
 

    parm   StandardModel:Vcs   
 (default = 0.97296; minimum = 0.972; maximum = 0.974)
    
The V_cs CKM matrix element. 
   
 

    parm   StandardModel:Vcb   
 (default = 0.04221; minimum = 0.0418; maximum = 0.0426)
    
The V_cb CKM matrix element. 
   
 

    parm   StandardModel:Vtd   
 (default = 0.00814; minimum = 0.006; maximum = 0.010)
    
The V_td CKM matrix element. 
   
 

    parm   StandardModel:Vts   
 (default = 0.04161; minimum = 0.039; maximum = 0.043)
    
The V_ts CKM matrix element. 
   
 

    parm   StandardModel:Vtb   
 (default = 0.9991; minimum = 0.99907; maximum = 0.9992)
    
The V_tb CKM matrix element. 
   
 

    The CoupSM class
     
 
The Pythia class contains a 
public instance coupSM of the CoupSM class. 
This class contains one instance each of the AlphaStrong 
and AlphaEM classes, and additionally stores the weak couplings 
and the quark mixing matrix mentioned above. This class is used especially 
in the calculation of cross sections and resonance widths, but could also 
be used elsewhere. Specifically, as already mentioned, there are separate 
AlphaStrong and AlphaEM instances for timelike 
and spacelike showers and for multiparton interactions, while weak couplings 
and the quark mixing matrix are only stored here. With the exception of the 
first two methods below, which are for internal use, the subsequent ones 
could also be used externally. 
 


    CoupSM::CoupSM()   
    
the constructor does nothing. Internal. 
   
 


    void CoupSM::init(Settings& settings, Rndm* rndmPtr)   
    
this is where the AlphaStrong and AlphaEM 
instances are initialized, and weak couplings and the quark mixing matrix 
are read in and set. This is based on the values stored on this page and 
among the Couplings and Scales. 
Internal. 
   
 


    double CoupSM::alphaS(double scale2)   
    
the alpha_strong value at the quadratic scale scale2. 
   
 


    double CoupSM::alphaS1Ord(double scale2)   
    
a first-order overestimate of the full second-order alpha_strong 
value at the quadratic scale scale2. 
   
 


    double CoupSM::alphaS2OrdCorr(double scale2)   
    
a multiplicative correction factor, below unity, that brings the 
first-order overestimate above into agreement with the full second-order 
alpha_strong value at the quadratic scale scale2. 
   
 


    double CoupSM::Lambda3()   
    
   
double CoupSM::Lambda4()   
    
   
double CoupSM::Lambda5()   
    
the three-, four-, and five-flavour Lambda scale. 
   
 


    double CoupSM::alphaEM(double scale2)   
    
the alpha_em value at the quadratic scale scale2. 
   
 


    double CoupSM::sin2thetaW()   
    
   
double CoupSM::cos2thetaW()   
    
the sine-squared and cosine-squared of the weak mixing angle, as used in 
the gauge-boson sector. 
   
 


    double CoupSM::sin2thetaWbar()   
    
the sine-squared of the weak mixing angle, as used to derive the vector 
couplings of fermions to the Z^0. 
   
 


    double CoupSM::GF()   
    
the Fermi constant of weak decays, in GeV^-2. 
   
 


    double CoupSM::ef(int idAbs)   
    
the electrical charge of a fermion, by the absolute sign of the PDF code, 
i.e. idAbs must be in the range between 1 and 18. 
   
 


    double CoupSM::vf(int idAbs)   
    
   
double CoupSM::af(int idAbs)   
    
the vector and axial charges of a fermion, by the absolute sign of the PDF 
code (a_f = +-1, v_f = a_f - 4. * sin2thetaWbar * e_f). 
   
 


    double CoupSM::t3f(int idAbs)   
    
   
double CoupSM::lf(int idAbs)   
    
   
double CoupSM::rf(int idAbs)   
    
the weak isospin, left- and righthanded charges of a fermion, by the 
absolute sign of the PDF code (t^3_f = a_f/2, l_f = (v_f + a_f)/2, 
r_f = (v_f - a_f)/2; you may find other conventions in the literature 
that differ by a factor of 2). 
   
 


    double CoupSM::ef2(int idAbs)   
    
   
double CoupSM::vf2(int idAbs)   
    
   
double CoupSM::af2(int idAbs)   
    
   
double CoupSM::efvf(int idAbs)   
    
   
double CoupSM::vf2af2(int idAbs)   
    
common quadratic combinations of the above couplings: 
e_f^2, v_f^2, a_f^2, e_f * v_f, v_f^2 + a_f^2. 
   
 


    double CoupSM::VCKMgen(int genU, int genD)   
    
   
double CoupSM::V2CKMgen(int genU, int genD)   
    
the CKM mixing element,or the square of it, for 
up-type generation index genU 
(1 = u, 2 = c, 3 = t, 4 = t') and 
down-type generation index genD 
(1 = d, 2 = s, 3 = b, 4 = b'). 
   
 


    double CoupSM::VCKMid(int id1, int id2)   
    
   
double CoupSM::V2CKMid(int id1, int id2)   
    
the CKM mixing element,or the square of it, for 
flavours id1 and id2, both in the 
range from -18 to +18. The sign is here not 
checked (so it can be used both for u + dbar → W+ 
and u → d + W+, say), but impossible flavour combinations 
evaluate to zero. The neutrino sector is numbered by flavor 
eigenstates, so there is no mixing in the lepton-neutrino system. 
   
 


    double CoupSM::V2CKMsum(int id)   
    
the sum of squared CKM mixing element that a given flavour can couple to, 
excluding the top quark and fourth generation. Is close to unity 
for the first two generations. Returns unity for the lepton-neutrino 
sector. 
   
 


    int CoupSM::V2CKMpick(int id)   
    
picks a random CKM partner quark or lepton (with the same sign as 
id) according to the respective squared elements, again 
excluding the top quark and fourth generation from the list of 
possibilities. Unambiguous choice for the lepton-neutrino sector. 
   
 


 
 
pythia8-8.1.86.orig/htmldoc/ProgramFlow.html0000644000175000017500000014710012357553535017136 0ustar  sunsun

Program Flow




 

    Program Flow
     
 
Recall that, to first order, the event generation process can be 
subdivided into three stages: 

       

    1. Initializaion.
      2.  

    2. The event loop.
      3.  

    3. Finishing.
      4.  

     
This is reflected in how the top-level Pythia class should 
be used in the user-supplied main program, further outlined in the 
following. Since the nature of the run is defined at the initialization 
stage, this is where most of the PYTHIA user code has to be written. 
So as not to confuse the reader unduly, the description of initialization 
options has been subdivided into what would normally be used and what is 
intended for more special applications. 
 

     
At the bottom of this webpage is a complete survey of all public 
Pythia methods and data members, in a more formal style 
than the task-oriented descriptions found in the preceding sections. 
This offers complementary information. 
    

    Initialization - normal usage
     
 

       
 

    1.  
Already at the top of the main program file, you need to include the proper 
header file 

       
    #include "Pythia8/Pythia.h" 

       
To simplify typing, it also makes sense to declare 

       
    using namespace Pythia8; 

       

      2.  
 

       

    2.  
The first step is to create a generator object, 
e.g. with 

       
     Pythia pythia; 

       
It is this object that we will use from now on. Normally a run 
will only contain one Pythia object. (But you can 
use several Pythia objects, which then will be 
independent of each other.)
       
By default all output from Pythia will be on the 
cout stream, but the list methods below do 
allow output to alternative streams or files. 

      3.  
 

       

    3.  
You next want to set up the character of the run. 
The pages under the "Setup Run Tasks" heading in the index 
describe all the options available (with some very few exceptions, 
found on the other pages). 
The default values and your modifications are stored in two databases, 
one for generic settings 
and one for particle data. 
Both of these are initialized with their default values by the 
Pythia constructor. The default values can then be 
changed, primarily by one of the two ways below, or by a combination 
of them. 
 

       
a) You can use the 

       
    pythia.readString(string); 

       
method repeatedly to do a change of a property at a time. 
The information in the string is case-insensitive, but upper- and 
lowercase can be combined for clarity. The rules are that
       
(i) if the first nonblank character of the string is a letter 
it is assumed to contain a setting, and is sent on to 
pythia.settings.readString(string);
       
(ii) if instead the string begins with a digit it is assumed to 
contain particle data updates, and so sent on to 
pythia.particleData.readString(string);
       
(iii) if none of the above, the string is assumed to be a comment, 
i.e. nothing will be done.
       
In the former two cases, a warning is issued whenever a string 
cannot be recognized (maybe because of a spelling mistake).
       
Some examples would be 

       
    pythia.readString("TimeShower:pTmin = 1.0"); 
    pythia.readString("111:mayDecay = false"); 

       
The readString(string) method is intended primarily for 
a few changes. It can also be useful if you want to construct a 
parser for input files that contain commands both to PYTHIA and to 
other libraries.
       
 

       
b) You can read in a file containing a list of those variables 
you want to see changed, with a 

       
    pythia.readFile(fileName); 

       
Each line in this file with be processes by the 
readString(string) method introduced above. You can thus 
freely mix comment lines and lines handed on to Settings 
or to ParticleData.
       
This approach is better suited for more extensive changes than a direct 
usage of readString(string), and can also avoid having to 
recompile and relink your main program between runs.
       
It is also possible to read input from an istream, by 
default cin, rather than from a file. This may be convenient 
if information is generated on-the-fly, within the same run. 
 

       
Changes are made sequentially in the order the commands are encountered 
during execution, meaning that if a parameter is changed several times 
it is the last one that counts. The two special 
Tune:ee and 
Tune:pp 
modes are expanded to change several settings in one go, but these obey 
the same ordering rules. 

       

      4.  
 

       

    4.  
Next comes the initialization stage, where all 
remaining details of the generation are to be specified. 
There is one standard method to use for this 
 

       
pythia.init();
       
with no arguments will read all relevant information from the 
Settings 
and ParticleData 
databases. Specifically the setup of incoming beams and energies 
is governed by the the beam parameters from the 
Beams 
group of variables. If you don't change any of those you will 
default to proton-proton collisions at 14 TeV, i.e. the nominal LHC 
values. 
 

       
A few alternative forms are available, where the arguments of the 
init(...) call can be used to set the beam parameters. 
These alternatives are now deprecated, and will be removed for 
PYTHIA 8.2. 
 

       
a) pythia.init( idA, idB, eCM);
       
lets you specify the identities and the CM energy of the two incoming 
beam particles, with A (B) assumed moving in the +z (-z) 
direction. 
 

       
b) pythia.init( idA, idB, eA, eB);
       
is similar, but the two beam energies can be different, so the 
collisions do not occur in the CM frame. If one of the beam energies 
is below the particle mass you obtain a fixed-target topology. 
 

       
c) pythia.init( idA, idB, pxA, pyA, pzA, pxB, pyB, pzB);
       
is similar, but here you provide the three-momenta 
(p_x, p_y, p_z) of the two incoming particles, 
to allow for arbitrary beam directions. 
 

       
d) pythia.init(fileName); 
       
assumes a file in the Les Houches 
Event File format is provided. 
 

       
e) pythia.init( LHAup*); 
       
assumes Les Houches Accord 
initialization and event information is available in an LHAup 
class object, and that a pointer to this object is handed in. 
 

       

    5.  
If you want to have a list of the generator and particle data used, 
either only what has been changed or everything, you can use 

       
    pythia.settings.listChanged(); 
    pythia.settings.listAll(); 
    pythia.particleData.listChanged(); 
    pythia.particleData.listAll(); 

       

      6.  
 

     
 

    The event loop
     
 

       
 

    1.  
Inside the event generation loop you generate the 
next event using the next() method, 

       
    pythia.next(); 

       
This method takes no arguments; everything has already been specified. 
It does return a bool value, however, false when the 
generation failed. This can be a "programmed death" when the 
supply of input parton-level configurations on file is exhausted. 
It can alternatively signal a failure of Pythia to 
generate an event, or unphysical features in the event record at the 
end of the generation step. It makes sense to allow a few false 
values before a run is aborted, so long as the related faulty 
events are skipped. 

      2.  
  

       

    2.  
The generated event is now stored in the event 
object, of type Event, 
which is a public member of pythia. You therefore have 
access to all the tools described on the pages under the "Study Output" 
header in the index. For instance, an event can be listed with 
pythia.event.list(), the identity of the i'th 
particle is given by 
pythia.event[i].id(), and so on.
       
The hard process - roughly the information normally stored in the 
Les Houches Accord event record - is available as a second object, 
process, also of type Event.
       
A third useful public object is 
info, which offers 
a set of one-of-a kind pieces of information about the most recent 
event. 

      3.  
 

     
 

    Finishing
     
 

       
 

    1. At the end of the generation process, you can call 

       
    pythia.stat(); 

       
to get some run statistics, on cross sections and the number of errors 
and warnings encountered. The alternative 
pythia.statistics(...); is equivalent but deprecated. 

      2.  
 

     
 

    Advanced usage, mainly for initialization
     
 
A) Necessary data are automatically loaded when you use the 
default PYTHIA installation directory structure and run the main 
programs in the examples subdirectory. However, in the 
general case, you must provide the path of the xmldoc 
directory, where default settings and particle data are found. 
This can be done in two ways. 
 

       
 

    1.  
You can set the environment variable PYTHIA8DATA to 
contain the location of the xmldoc directory. In the 
csh and tcsh shells this could e.g. be 

       
     setenv PYTHIA8DATA /home/myname/pythia81xx/xmldoc 

       
while in other shells it could be 

       
     export PYTHIA8DATA=/home/myname/pythia81xx/xmldoc 

       
where xx is the subversion number.
       
Recall that environment variables set locally are only defined in the 
current instance of the shell. The above lines should go into your 
.cshrc and .bashrc files, respectively, 
if you want a more permanent assignment. 

      2.  
 

       

    2.  
You can provide the path as argument to the Pythia 
constructor, e.g. 

       
     Pythia pythia("/home/myname/pythia81xx/xmldoc"); 

       

      3.  

     
where again xx is the subversion number.
     
When PYTHIA8DATA is set it takes precedence, else 
the path in the constructor is used, else one defaults to the 
../xmldoc directory. 
 

     
B) You can override the default behaviour of PYTHIA not only by the 
settings and particle data, but also by replacing some of the 
PYTHIA standard routines by ones of your own. Of course, this is only 
possible if your routines fit into the general PYTHIA framework. 
Therefore they must be coded according to the the rules relevant 
in each case, as a derived class of a PYTHIA base class, and a pointer 
to such an object must be handed in by one of the methods below. 
These calls must be made before the pythia.init(...) call. 
 

       
 

    1.  
If you are not satisfied with the list of parton density functions that 
are implemented internally or available via the LHAPDF interface 
(see the PDF Selection page), you 
can supply your own by a call to the setPDFPtr(...) method 

       
      pythia.setPDFptr( pdfAPtr, pdfBPtr); 

       
where pdfAPtr and pdfBPtr are pointers to 
two Pythia PDF 
objects. Note that pdfAPtr and pdfBPtr 
cannot point to the same object; even if the PDF set is the same, 
two copies are needed to keep track of two separate sets of x 
and density values.
       
If you further wish to use separate PDF's for the hard process of an 
event than the ones being used for everything else, the extended form 

       
      pythia.setPDFptr( pdfAPtr, pdfBPtr, pdfHardAPtr, pdfHardBPtr); 

       
allows you to specify those separately, and then the first two sets 
would only be used for the showers and for multiparton interactions. 

      2.  
 

       

    2.  
If you want to link to an external generator that feeds in events 
in the LHA format, you can call the setLHAupPtr(...) 
method 

       
      pythia.setLHAupPtr( lhaUpPtr); 

       
where the  lhaUpPtr derives from the 
LHAup base class. 

      3.  
 

       

    3.  
If you want to perform some particle decays with an 
external generator, you can call the setDecayPtr(...) 
method 

       
      pythia.setDecayPtr( decayHandlePtr, particles); 

       
where the decayHandlePtr derives from the 
DecayHandler base 
class and particles is a vector of particle codes to be 
handled. 

      4.  
 

       

    4.  
If you want to use an external random number generator, 
you can call the setRndmEnginePtr(...) method 

       
      pythia.setRndmEnginePtr( rndmEnginePtr); 

       
where rndmEnginePtr derives from the 
RndmEngine base class. 
The Pythia default random number generator is perfectly 
good, so this is only intended for consistency in bigger frameworks. 

      5.  
 

       

    5.  
If you want to interrupt the evolution at various stages, 
to interrogate the event and possibly veto it, or you want to 
reweight the cross section, you can use 

       
      pythia.setUserHooksPtr( userHooksPtr); 

       
where userHooksPtr derives from the 
UserHooks base class. 

      6.  
 

       

    6.  
If you want to use your own merging scale definition for 
matrix element + parton shower merging, you can call 

       
      pythia.setMergingHooksPtr( mergingHooksPtr); 

       
where mergingHooksPtr derives from the 
MergingHooks base class. 

      7.  
 

       

    7.  
If you want to use your own parametrization of beam momentum spread and 
interaction vertex, rather than the provided simple Gaussian 
parametrization (off by default), you can call 

       
      pythia.setBeamShapePtr( beamShapePtr); 

       
where beamShapePtr derives from the 
BeamShape base class. 

      8.  
 

       

    8.  
If you want to implement a cross section of your own, but still make use 
of the built-in phase space selection machinery, you can use 

       
      pythia.setSigmaPtr( sigmaPtr); 

       
where sigmaPtr of type SigmaProcess* is an 
instance of a class derived from one of the Sigma1Process, 
Sigma2Process and  Sigma3Process base classes 
in their turn derived from 
SigmaProcess. 
This call can be used repeatedly to hand in several different processes. 

      9.  
 

       

    9.  
If your cross section contains the production of a new resonance 
with known analytical expression for all the relevant partial widths, 
you can make this resonance available to the program with 

       
      pythia.setResonancePtr( resonancePtr); 

       
where resonancePtr of type ResonanceWidths* 
is an instance of a class derived from the 
ResonanceWidths 
base class. In addition you need to add the particle to the normal 
particle and decay database. 
This procedure can be used repeatedly to hand in several different 
resonances. 

      10.  
 

       

    10.  
If you are a real expert and want to replace 
the PYTHIA initial- and final-state showers, you can use 

       
      pythia.setShowerPtr( timesDecPtr, timesPtr, spacePtr); 

       
where timesDecPtr and timesPtr 
derive from the TimeShower base class, and 
spacePtr from SpaceShower. 

      11.  
 

     
 

     
C) Some comments on collecting several tasks in the same run. 

       
 

    1.  
PYTHIA has not been written for threadsafe execution on multicore 
processors. If you want to use all cores, 
the most efficient way presumably is to start correspondingly many jobs, 
with different random number seeds, and add the statistics at the end. 
However, note that several instances  can be set up in the same main 
program, since instances are completely independent of each other, 
so each instance could be run inside a separate thread. 

      2.  
 

       

    2.  
In some cases it is convenient to use more than one Pythia 
object. The key example would be the simultaneous generation of signal 
and pileup events, see main19.cc. The two objects are then 
set up and initialized separately, and generate events completely 
independently of each other. It is only afterwards that the event records 
are combined into one single super-event per beam crossing. 

      3.  
 

       

    3.  
When time is not an issue, it may be that you want to perform several 
separate subruns sequentially inside a run, e.g. to combine results for 
several kinematical regions or to compare results for some different 
tunes of the underlying event. One way to go is to create (and destroy) 
one pythia object for each subrun, in which case they are 
completely separate. You can also use the same pythia object, 
only doing a new init(...) call for each subrun. In that 
case, the settings and particle databases remain as they were in the 
previous subrun, only affected by the specific changes you introduced in 
the meantime. You can put those changes in the main program, with 
pythia.readString(string), using your own logic to decide 
which ones to execute in which subrun. A corresponding possibility 
exists with pythia.readFile(fileName, subrun) (or an 
istream instead of a fileName), which as second 
argument can take a non-negative subrun number. Then only those 
sections of the file before any Main:subrun = ... line 
or with matching subrun number will be read. That is, the 
file could have a structure like 

       
    ( lines always read, i.e. "default values" always (re)set ) 
    Main:subrun = 1 
    ( lines only read with readFile(fileName, 1) ) 
    Main:subrun = 2 
    ( lines only read with readFile(fileName, 2) ) 

       
Both of these possibilities are illustrated in main08.cc. 

      4.  
 

       

    4.  
When working with Les Houches Event Files, it may well be that your 
intended input event sample is spread over several files, that you all 
want to turn into complete events in one and the same run. There is no 
problem with looping over several subruns, where each new subrun 
is initialized with a new file, with name set in Beams:LHEF. 
However, in that case you will do a complete re-initialization each time 
around. If you want to avoid this, note that the flag 
Beams:newLHEFsameInit = true can be set for the second and 
subsequent subruns. Then the new file will be simulated with the same 
initialization data as already set in a previous 
pythia.init() call. The burden rests on you to ensure 
that this is indeed correct, e.g. that the two event samples have not 
been generated for different beam energies. Also note that cross 
sections for processes will be based on the information in the 
first-read file, when the full initialization is performed. 

      5.  
 

     
 

    The Pythia Class
     
 
Here follows the complete survey of all public Pythia 
methods and data members. 
 

    Constructor and destructor
     
 


    Pythia::Pythia(string xmlDir = "../xmldoc", bool printBanner = true)   
    
creates an instance of the Pythia event generators, 
and sets initial default values, notably for all settings and 
particle data. You may use several Pythia instances 
in the same run; only when you want to access external static 
libraries could this cause problems. (This includes in particular 
Fortran libraries such as LHAPDF.) 

    argument xmlDir  (default = ../xmldoc) : allows you to choose 
from which directory the default settings and particle data values 
are read in. If the PYTHIA8DATA environment variable 
has been set it takes precedence. Else this optional argument allows 
you to choose another directory location than the default one. Note 
that it is only the directory location you can change, its contents 
must be the ones of the xmldoc directory in the 
standard distribution. 
   

    argument printBanner  (default = true) :  can be set 
false to stop the program from printing a banner. 
The banner contains useful information, so this option is only 
intended for runs with multiple Pythia instances, 
where output needs to be restricted. 
   
   
 


    Pythia::~Pythia   
    
the destructor deletes the objects created by the constructor. 
 

    Set up run
     
 


    bool Pythia::readString(string line, bool warn = true)   
    
reads in a single string, that is interpreted as an instruction to 
modify the value of a setting or 
particle data, as already described 
above. 

    argument line   :  
the string to be interpreted as an instruction. 
   

    argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. 
   

    Note: the method returns false if it fails to 
make sense out of the string. 
   
 


    bool Pythia::readFile(string fileName, bool warn = true, int subrun = SUBRUNDEFAULT)   
    
   
bool Pythia::readFile(string fileName, int subrun = SUBRUNDEFAULT)   
    
   
bool Pythia::readFile(istream& inStream = cin, bool warn = true, int subrun = SUBRUNDEFAULT)   
    
   
bool Pythia::readFile(istream& inStream = cin, int subrun = SUBRUNDEFAULT)   
    
reads in a whole file, where each line is interpreted as an instruction 
to modify the value of a setting or 
particle data, cf. the above 
readString method. All four forms of the 
readFile command share code for actually reading a file. 

    argument fileName   :  
the file from which instructions are read. 
   

    argument inStream   :  
an istream from which instructions are read. 
   

    argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. In the 
command forms where warn is omitted it is true. 
   

    argument subrun   :  
allows you have several optional sets of commands within the same file. 
Only those sections of the file before any Main:subrun = ... 
line or following such a line with matching subrun number will be read. 
The subrun number should not be negative; negative codes like 
SUBRUNDEFAULT corresponds to no specific subrun. 
   

    Note: the method returns false if it fails to 
make sense out of any one line. 
   
 


    bool Pythia::setPDFPtr( PDF* pdfAPtr, PDF* pdfBPtr, PDF* pdfHardAPtr = 0, PDF* pdfHardBPtr = 0)   
    
offers the possibility to link in external PDF sets for usage inside 
the program. The rules for constructing your own class from 
the PDF base class are described 
here. 

    argument pdfAPtr, pdfBPtr   :  
pointers to two PDF-derived objects, one for each of 
the incoming beams. The two objects have to be instantiated by you 
in your program. Even if the two beam particles are the same 
(protons, say) two separate instances are required, since current 
information is cached in the objects. If both arguments are zero 
then any previous linkage to external PDF's is disconnected, 
see further Note 2 below. 
   

    argument pdfHardAPtr, pdfHardBPtr  (default = 0) :  
pointers to two further PDF-derived objects, one for each 
of the incoming beams. Normally only the first two arguments above would 
be used, and then the same PDF sets would be invoked everywhere. If you 
provide these two further pointers then two different sets of PDF's are 
used. This second set is then exclusively for the generation of the hard 
process from the process matrix elements library. The first set above 
is for everything else, notably parton showers and multiparton interactions. 
   

    Note 1: The method returns false if the input is obviously 
incorrect, e.g. if two (nonzero) pointers agree. 

    Note 2: If you want to combine several subruns you can 
call setPDFPtr with new arguments before each 
Pythia::init(...) call. To revert from external PDF's 
to the normal internal PDF selection you must call 
setPDFPtr(0, 0) before Pythia::init(...). 
   
 


    bool Pythia::setLHAupPtr( LHAup* lhaUpPtrIn)   
    
offers linkage to an external generator that feeds in events 
in the LHA format, see 
Les Houches Accord, 
assuming that 
Beams:frameType = 5 
has been set. 

    argument lhaUpPtrIn   :  
pointer to a LHAup-derived object. 
   

    Note: The method currently always returns true. 
   
 


    bool Pythia::setDecayPtr( DecayHandler* decayHandlePtr, vector<int> handledParticles)   
    
offers the possibility to link to an external program that can do some 
of the particle decays, instead of using the internal decay machinery. 
With particles we here mean the normal hadrons and leptons, not 
top quarks, electroweak bosons or new particles in BSM scenarios. 
The rules for constructing your own class from the 
DecayHandler base class are described 
here. Note that you can only 
provide one external object, but this object in its turn could 
very well hand on different particles to separate decay libraries. 

    argument decayHandlePtr   :  
pointer to a DecayHandler-derived object. This object 
must be instantiated by you in your program. 
   

    argument handledParticles   :  vector with the PDG identity codes 
of the particles that should be handled by the external decay package. 
You should only give the particle (positive) codes; the respective 
antiparticle is always included as well. 
   

    Note: The method currently always returns true. 
   
 


    bool Pythia::setRndmEnginePtr( RndmEngine* rndmEnginePtr)   
    
offers the possibility to link to an external random number generator. 
The rules for constructing your own class from the 
RndmEngine base class are described 
here. 

    argument rndmEnginePtr   :  
pointer to a RndmEngine-derived object. This object 
must be instantiated by you in your program. 
   

    Note: The method returns true if the pointer is different 
from 0. 
   
 


    bool Pythia::setUserHooksPtr( UserHooks* userHooksPtr)   
    
offers the possibility to interact with the generation process at 
a few different specified points, e.g. to reject undesirable events 
at an early stage to save computer time. The rules for constructing 
your own class from the UserHooks base class are described 
here. You can only hand in one such 
pointer, but this may be to a class that implements several of the 
different allowed possibilities. 

    argument userHooksPtr   :  
pointer to a userHooks-derived object. This object 
must be instantiated by you in your program. 
   

    Note: The method currently always returns true. 
   
 


    bool Pythia::setBeamShapePtr( BeamShape* beamShapePtr)   
    
offers the possibility to provide your own shape of the momentum and 
space-time spread of the incoming beams. The rules for constructing 
your own class from the BeamShape base class are described 
here. 

    argument BeamShapePtr   :  
pointer to a BeamShape-derived object. This object 
must be instantiated by you in your program. 
   

    Note: The method currently always returns true. 
   
 


    bool Pythia::setSigmaPtr( SigmaProcess* sigmaPtr)   
    
offers the possibility to link your own implementation of a process 
and its cross section, to make it a part of the normal process 
generation machinery, without having to recompile the 
Pythia library itself.  The rules for constructing your 
own class from the SigmaProcess base class are described 
here. You may call this 
routine repeatedly, to add as many new processes as you wish. 

    argument sigmaPtr   :  
pointer to a SigmaProcess-derived object. This object 
must be instantiated by you in your program. 
   

    Note: The method currently always returns true. 
   
 


    bool Pythia::setResonancePtr( ResonanceWidths* resonancePtr)   
    
offers the possibility to link your own implementation of the 
calculation of partial resonance widths, to make it a part of the 
normal process generation machinery, without having to recompile the 
Pythia library itself.  This allows the decay of new 
resonances to be handled internally, when combined with new particle 
data. Note that the decay of normal hadrons cannot be modeled here; 
this is for New Physics resonances. The rules for constructing your 
own class from the ResonanceWidths base class are described 
here. You may call this 
routine repeatedly, to add as many new resonances as you wish. 

    argument resonancePtr   :  
pointer to a ResonanceWidths-derived object. This object 
must be instantiated by you in your program. 
   

    Note: The method currently always returns true. 
   
 


    bool Pythia::setShowerPtr( TimeShower* timesDecPtr, TimeShower* timesPtr = 0, SpaceShower* spacePtr = 0)   
    
offers the possibility to link your own parton shower routines as 
replacements for the default ones. This is much more complicated 
since the showers are so central and are so interlinked with other 
parts of the program. Therefore it is also possible to do the 
replacement in stages, from the more independent to the more 
intertwined. The rules for constructing your own classes from the 
TimeShower and SpaceShowerbase classes 
are described here. These 
objects must be instantiated by you in your program. 

    argument timesDecPtr   :  
pointer to a TimeShower-derived object for doing 
timelike shower evolution in resonance decays, e.g. of a 
Z^0. This is decoupled from beam remnants and parton 
distributions, and is therefore the simplest kind of shower 
to write. If you provide a value 0 then the internal shower 
routine will be used. 
   

    argument timesPtr  (default = 0) :  
pointer to a TimeShower-derived object for doing 
all other timelike shower evolution, which is normally interleaved 
with multiparton interactions and spacelike showers, introducing 
both further physics and further technical issues. If you retain 
the default value 0 then the internal shower routine will be used. 
You are allowed to use the same pointer as above for the 
timesDecPtr if the same shower can fulfill both tasks. 
   

    argument spacePtr  (default = 0) :  
pointer to a SpaceShower-derived object for doing 
all spacelike shower evolution, which is normally interleaved 
with multiparton interactions and timelike showers. If you retain 
the default value 0 then the internal shower routine will be used. 
   

    Note: The method currently always returns true. 
   
 

    Initialize
     
 
At the initialization stage all the information provided above is 
processed, and the stage is set up for the subsequent generation 
of events. Currently several alternative forms of the init 
method are available for this stage, but only the first one is 
recommended. 
 


    bool Pythia::init()   
    
initialize for collisions, in any of the five separate possibilities 
below. In this option the beams are not specified by input arguments, 
but instead by the settings in the 
Beam Parameters section. 
This allows the beams to be specified in the same file as other 
run instructions. The default settings give pp collisions at 14 TeV. 

    Note: The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


    bool Pythia::init( int idA, int idB, double eCM)   
    
initialize for collisions in the center-of-mass frame, with the 
beams moving in the +-z directions. 

    argument idA, idB   :  
particle identity code for the two incoming beams. 
   

    argument eCM   :  
the CM energy of the collisions. 
   

    Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


    bool Pythia::init( int idA, int idB, double eA, double eB)   
    
initialize for collisions with back-to-back beams, 
moving in the +-z directions, but with different energies. 

    argument idA, idB   :  
particle identity code for the two incoming beams. 
   

    argument eA, eB   :  
the energies of the two beams. If an energy is set to be below 
the mass of the respective beam particle that particle is taken to 
be at rest. This offers a simple possibility to simulate 
fixed-target collisions. 
   

    Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


    bool Pythia::init( int idA, int idB, double pxA, double pyA, double pzA, double pxB, double pyB, double pzB)   
    
initialize for collisions with arbitrary beam directions. 

    argument idA, idB   :  
particle identity code for the two incoming beams. 
   

    argument pxA, pyA, pzA   :  
the three-momentum vector (p_x, p_y, p_z) of the first 
incoming beam. 
   

    argument pxB, pyB, pzB   :  
the three-momentum vector (p_x, p_y, p_z) of the second 
incoming beam. 
   

    Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


    bool Pythia::init( string LesHouchesEventFile, bool skipInit = false)   
    
initialize for hard-process collisions fed in from an external file 
with events, written according to the 
Les Houches Event File 
standard. 

    argument LesHouchesEventFile   :  
the file name (including path, where required) where the 
events are stored, including relevant information on beam 
identities and energies. 
   

    argument skipInit  (default = false) :  
By default this method does a complete reinitialization of the 
generation process. If you set this argument to true then 
no reinitialization will occur, only the pointer to the event 
file is updated. This may come in handy if the full event sample 
is split across several files generated under the same conditions 
(except random numbers, of course). You then do the first 
initialization with the default, and all subsequent ones with 
true. Note that things may go wrong if the files are not created 
under the same conditions. 
   

    Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


    bool Pythia::init( LHAup* lhaUpPtr)   
    
initialize for hard-process collisions fed in from an external 
source of events, consistent with the Les Houches Accord standard. 
The rules for constructing your own class from the LHAup 
base class are described here. 
This class is also required to provide the beam parameters. 

    argument lhaUpPtr   :  
pointer to a LHAup-derived object. This object 
must be instantiated by you in your program. 
   

    Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 

    Generate events
     
 
The next() method is the main one to generate events. 
In this section we also put a few other specialized methods that 
may be useful in some circumstances. 
 


    bool Pythia::next()   
    
generate the next event. No input parameters are required; all 
instructions have already been set up in the initialization stage. 

    Note: The method returns false if the event generation 
fails. The event record is then not consistent and should not be 
studied. When reading in hard collisions from a Les Houches Event File 
the problem may be that the end of the file has been reached. This 
can be checked with the 
Info::atEndOfFile() 
method. 
   
 


    int Pythia::forceTimeShower( int iBeg, int iEnd, double pTmax, int nBranchMax = 0)   
    
perform a final-state shower evolution on partons in the 
event event record. This could be used for externally 
provided simple events, or even parts of events, for which 
a complete generation is not foreseen. Since the mother source of 
the parton system is not known, one cannot expect as good accuracy 
as in a normal generation. When two different timelike shower 
instances are set up, it is the one used for showering in resonance 
decays that is used here. The forceTimeShower method 
can be used in conjunction with the forceHadronLevel 
one below. Further comments are found 
here. 

    argument iBeg, iEnd   :  the first and last entry of the event 
record to be affected by the call. 
   

    argument pTmax   :  the maximum pT scale of emissions. 
Additionally, as always, the scale variable of each parton 
sets the maximum pT scale of branchings of this parton. 
Recall that this scale defaults to 0 if not set, so that no radiation 
can occur. 
   

    argument nBranchMax  (default = 0) :  when positive, it sets the 
maximum number of branchings that are allowed to occur in the shower, 
i.e. the shower may stop evolving before reaching the lower cutoff. 
The argument has no effect when zero or negative, i.e. then the shower 
will continue to the lower cutoff. 
   

    Note: The method returns the number of branchings that 
has been generated. 
   
 


    bool Pythia::forceHadronLevel(bool findJunctions = true)   
    
hadronize the existing event record, i.e. perform string fragmentation 
and particle decays. There are two main applications. Firstly, 
you can use the same parton-level content as a basis for repeated 
hadronization attempts, in schemes intended to save computer time. 
Secondly, you may have an external program that can simulate the full 
partonic level of the event - hard process, parton showers, multiparton 
interactions, beam remnants, colour flow, and so on - but not 
hadronization. Further details are found 
here. 

    argument findJunctions  (default = true) :  
normally this routine will search through the event record and try to 
figure out if any colour junctions are present. If so, the colour 
topology of such junctions must be sorted out. In tricky cases this 
might fail, and then hadronization will not work. A user who is 
aware of this and knows the intended colour flow can set up the 
junction information (if any) in the event record, and then call 
forceHadronLevel(false) so as not to have this information 
overwritten. (If the event record contains no unhadronized partons 
then no junction search will be performed in any case.) 
   

    Note: The method returns false if the hadronization 
fails. The event record is then not consistent and should not be 
studied. 
   
 


    bool Pythia::moreDecays()   
    
perform decays of all particles in the event record that have not been 
decayed but should have been done so. This can be used e.g. for 
repeated decay attempts, in schemes intended to save computer time. 
Further details are found here. 

    Note: The method returns false if the decays fail. The 
event record is then not consistent and should not be studied. 
   
 


    bool Pythia::forceRHadronDecays()   
    
perform decays of R-hadrons that were previously considered stable. 
This could be if an R-hadron is sufficiently long-lived that 
it may interact in the detector between production and decay, so that 
its four-momentum is changed. Further details are found 
here. 

    Note: The method returns false if the decays fail. The 
event record is then not consistent and should not be studied. 
   
 


    void Pythia::LHAeventList(ostream& os = cout)   
    
list the Les Houches Accord information on the current event, see 
LHAup::listEvent(...). 
(Other listings are available via the class members below, so this 
listing is a special case that would not fit elsewhere.) 

    argument os  (default = cout) :  
output stream where the listing occurs. 
   
   
 


    bool Pythia::LHAeventSkip(int nSkip)   
    
skip ahead a number of events in the Les Houches generation 
sequence, without doing anything further with them, see 
LHAup::skipEvent(nSkip). 
Mainly intended for debug purposes, e.g. when an event at a known 
location in a Les Houches Event File is causing problems. 

    argument nSkip   :  
number of events to skip. 
   

    Note: The method returns false if the operation fails, 
specifically if the end of a LHEF has been reached, cf. 
next() above. 
   
 

    Finalize
     
 
There is no required finalization step; you can stop generating events 
when and how you want. It is still recommended that you make it a 
routine to call the following method at the end. A second method provides 
a deprecated alternative. 
 


    void Pythia::stat()   
    
list statistics on the event generation, specifically total and partial 
cross sections and the number of different errors. For more details see 
here and for available options 
here. 
   
 


    void Pythia::statistics(bool all = false, bool reset = false)   
    
list statistics on the event generation, specifically total and partial 
cross sections and the number of different errors. For more details see 
here. 

    argument all  (default = false) :  
if true also statistics on multiparton interactions is shown, by default not. 
   

    argument reset  (default = false) :  if true then all counters, 
e.g on events generated and errors experienced, are reset to zero 
 whenever the routine is called. The default instead is that 
all stored statistics information is unaffected by the call. Counters 
are automatically reset in each new Pythia::init(...) 
call, however, so the only time the reset option makes a 
difference is if statistics(...) is called several times 
in a (sub)run. 
   

    Note: Deprecated. 
   
 

    Interrogate settings
     
 
Normally settings are used in the setup and initialization stages 
to determine the character of a run, e.g. read from a file with the 
above-described Pythia::readFile(...) method. 
There is no strict need for a user to interact with the 
Settings database in any other way. However, as an option, 
some settings variables have been left free for the user to set in 
such a file, and then use in the main program to directly affect the 
performance of that program, see 
here. A typical example would 
be the number of events to generate. For such applications the 
following shortcuts to some Settings methods may be 
convenient. 
 


    bool Pythia::flag(string key)   
    
read in a boolean variable from the Settings database. 

    argument key   :  
the name of the variable to be read. 
   
   
  


    int Pythia::mode(string key)   
    
read in an integer variable from the Settings database. 

    argument key   :  
the name of the variable to be read. 
   
   
  


    double Pythia::parm(string key)   
    
read in a double-precision variable from the Settings 
database. 

    argument key   :  
the name of the variable to be read. 
   
   
  


    string Pythia::word(string key)   
    
read in a string variable from the Settings database. 

    argument key   :  
the name of the variable to be read. 
   
   
   

    Get a PDF set
     
 
Pythia contains an number of parton density sets 
internally, plus an interface to LHAPDF. With the method below, 
this machinery is also made available for external usage. 
  


    PDF* getPDFPtr(int id, int sequence = 1)   
    
get a pointer to a PDF object. Which PDF is returned depends on the 
PDF Selection settings. 

    argument id   :  
the identity code of the incoming particle. 
   

    argument sequence   :  
should normally be 1, but 2 can be used for protons to let the PDF 
selection be determined by the special settings for hard processes 
(PDF:useHard etc.). 
   
   
   

    Data members
     
 
The Pythia class contains a few public data members, 
several of which play a central role. We list them here, with 
links to the places where they are further described. 
  


    Event Pythia::process   
    
the hard-process event record, see here 
for further details. 
   
  


    Event Pythia::event   
    
the complete event record, see here 
for further details. 
   
  


    Info Pythia::info   
    
further information on the event-generation process, see 
here for further details. 
   
  


    Settings Pythia::settings   
    
the settings database, see here 
for further details. 
   
  


    ParticleData Pythia::particleData   
    
the particle properties and decay tables database, see 
here for further details. 
   
  


    Rndm Pythia::rndm   
    
the random number generator, see here 
and here for further details. 
   
  


    CoupSM Pythia::coupSM   
    
Standard Model couplings and mixing matrices, see 
here for further details. 
   
  


    SusyLesHouches Pythia::slha   
    
parameters and particle data in the context of supersymmetric models, 
see here for further details. 
   
  


    PartonSystems Pythia::partonSystems   
    
a grouping of the partons in the event record by subsystem, 
see here for further details. 
   
    


 
 
pythia8-8.1.86.orig/htmldoc/SpacelikeShowers.html0000644000175000017500000005621512357553535020160 0ustar  sunsun

Spacelike Showers




 

    Spacelike Showers
     
 
The PYTHIA algorithm for spacelike initial-state showers is 
based on the article [Sjo05], where a 
transverse-momentum-ordered backwards evolution scheme is introduced, 
with the extension to fully interleaved evolution covered in 
[Cor10a]. 
This algorithm is a further development of the virtuality-ordered one 
presented in [Sj085], with matching to first-order matrix 
element for Z^0, W^+- and Higgs (in the 
m_t → infinity limit) production as introduced in 
[Miu99]. 
 

     
The normal user is not expected to call SpaceShower 
directly, but only have it called from Pythia, 
via PartonLevel. Some of the parameters below, 
in particular SpaceShower:alphaSvalue, 
would be of interest for a tuning exercise, however. 
 

    Main variables
     
 
The maximum pT to be allowed in the shower evolution is 
related to the nature of the hard process itself. It involves a 
delicate balance between not double-counting and not leaving any 
gaps in the coverage. The best procedure may depend on information 
only the user has: how the events were generated and mixed (e.g. with 
Les Houches Accord external input), and how they are intended to be 
used. Therefore a few options are available, with a sensible default 
behaviour. 
 

    mode   SpaceShower:pTmaxMatch   
 (default = 0; minimum = 0; maximum = 2)
    
Way in which the maximum shower evolution scale is set to match the 
scale of the hard process itself. 

    option  0 : (i) if the final state of the hard process 
(not counting subsequent resonance decays) contains at least one quark 
(u, d, s, c ,b), gluon or photon then pT_max 
is chosen to be the factorization scale for internal processes 
and the scale value for Les Houches input; 
(ii) if not, emissions are allowed to go all the way up to 
the kinematical limit. 
The reasoning is that in the former set of processes the ISR 
emission of yet another quark, gluon or photon could lead to 
double-counting, while no such danger exists in the latter case. 
   

    option  1 : always use the factorization scale for an internal 
process and the scale value for Les Houches input, 
i.e. the lower value. This should avoid double-counting, but 
may leave out some emissions that ought to have been simulated. 
(Also known as wimpy showers.) 
   

    option  2 : always allow emissions up to the kinematical limit. 
This will simulate all possible event topologies, but may lead to 
double-counting. 
(Also known as power showers.) 
   

    Note 1: Some processes contain matrix-element matching 
to the first emission; this is the case notably for single 
gamma^*/Z^0, W^+- and H^0 production. Then default 
and option 2 give the correct result, while option 1 should never 
be used. 

    Note 2: as enumerated in the text, these options take effect 
both for internal and external processes. Whether a particular option 
makes sense depends on the context. For instance, if events for the same 
basic process to different orders are to be matched, then option 1 would 
be a reasonable first guess. Note, however, that a program like the 
POWHEG BOX uses a pT definition for ISR and FSR that does not 
quite agree with the PYTHIA evolution scale, and thus there will be some 
amount of mismatch. In more sophisticated descriptions, therefore, 
option 2 could be combined with UserHooks vetoes on emissions 
that would lead to double-counting, using more flexible phase space 
boundaries. Further details are found in the 
Matching and Merging description, 
with an example in examples/main31. 
Option 0, finally, may be most realistic when only Born-level 
processes are involved, possibly in combination with a nonzero 
SpaceShower:pTdampMatch. The rules used for avoiding 
double-counting are not foolproof, however. As an example, for the 
t-channel process gamma gamma → e^+ e^- its pT 
scale is the plausible upper shower limit, with only dampened emissions 
above it. But the initial state is not checked and, had only incoming 
quarks and gluons been taken into account, only the s-channel 
process q qbar → gamma^*/Z^0 → e^+ e^- would have 
been possible, where indeed the whole phase space should be populated. 
So this is erroneously used, giving too much emissions. 

    Note 3: These options only apply to the hard interaction. 
If a "second hard" process is present, the two are analyzed and 
set separately for the default 0 option, while both are affected 
the same way for non-default options 1 and 2. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of each process itself. 
   
 

    parm   SpaceShower:pTmaxFudge   
 (default = 1.0; minimum = 0.25; maximum = 2.0)
    
In cases where the above pTmaxMatch rules would imply 
that pT_max = pT_factorization, pTmaxFudge 
introduces a multiplicative factor f such that instead 
pT_max = f * pT_factorization. Only applies to the hardest 
interaction in an event, and a "second hard" if there is such a one, 
cf. below. It is strongly suggested that f = 1, but variations 
around this default can be useful to test this assumption. 
   
 

    parm   SpaceShower:pTmaxFudgeMPI   
 (default = 1.0; minimum = 0.25; maximum = 2.0)
    
A multiplicative factor f such that 
pT_max = f * pT_factorization, as above, but here for the 
non-hardest interactions (when multiparton interactions are allowed). 
   
 

    mode   SpaceShower:pTdampMatch   
 (default = 0; minimum = 0; maximum = 2)
    
These options only take effect when a process is allowed to radiate up 
to the kinematical limit by the above pTmaxMatch choice, 
and no matrix-element corrections are available. Then, in many processes, 
the fall-off in pT will be too slow by one factor of pT^2. 
That is, while showers have an approximate dpT^2/pT^2 shape, often 
it should become more like dpT^2/pT^4 at pT values above 
the scale of the hard process. Whether this actually is the case 
depends on the particular process studied, e.g. if t-channel 
gluon exchange is likely to dominate. If so, the options below could 
provide a reasonable high-pT behaviour without requiring 
higher-order calculations. 

    option  0 : emissions go up to the kinematical limit, 
with no special dampening. 
   

    option  1 : emissions go up to the kinematical limit, 
but dampened by a factor k^2 Q^2_fac/(pT^2 + k^2 Q^2_fac), 
where Q_fac is the factorization scale and k is a 
multiplicative fudge factor stored in pTdampFudge below. 
   

    option  2 : emissions go up to the kinematical limit, 
but dampened by a factor k^2 Q^2_ren/(pT^2 + k^2 Q^2_ren), 
where Q_ren is the renormalization scale and k is a 
multiplicative fudge factor stored in pTdampFudge below. 
   

    Note: These options only apply to the hard interaction. 
Specifically, a "second hard" interaction would not be affected. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of the process itself. 
   
 

    parm   SpaceShower:pTdampFudge   
 (default = 1.0; minimum = 0.25; maximum = 4.0)
    
In cases 1 and 2 above, where a dampening is imposed at around the 
factorization or renormalization scale, respectively, this allows the 
pT scale of dampening of radiation by a half to be shifted 
by this factor relative to the default Q_fac or Q_ren. 
This number ought to be in the neighbourhood of unity, but variations 
away from this value could do better in some processes. 
   
 

     
The amount of QCD radiation in the shower is determined by 

    parm   SpaceShower:alphaSvalue   
 (default = 0.137; minimum = 0.06; maximum = 0.25)
    
The alpha_strong value at scale M_Z^2. 
Default value is picked equal to the one used in CTEQ 5L. 
   
 

     
The actual value is then regulated by the running to the scale 
pT^2, at which it is evaluated 

    mode   SpaceShower:alphaSorder   
 (default = 1; minimum = 0; maximum = 2)
    
Order at which alpha_strong runs, 

    option  0 : zeroth order, i.e. alpha_strong is kept 
fixed.   

    option  1 : first order, which is the normal value.   

    option  2 : second order. Since other parts of the code do 
not go to second order there is no strong reason to use this option, 
but there is also nothing wrong with it.   
   
 

     
The CMW rescaling of Lambda_QCD (see the section on 
StandardModelParameters) 
can be applied to the alpha_strong values used for spacelike showers. 
Note that tunes using this option need lower values of 
alpha_strong(m_Z^2) than tunes that do not. 

    flag   SpaceShower:alphaSuseCMW   
 (default = false)
    

    option  false : Do not apply the CMW rescaling.    

    option  true : Apply the CMW rescaling, increasing 
Lambda_QCD for spacelike showers by a factor roughly 1.6. 
   
   
 

     
QED radiation is regulated by the alpha_electromagnetic 
value at the pT^2 scale of a branching. 
  

    mode   SpaceShower:alphaEMorder   
 (default = 1; minimum = -1; maximum = 1)
    
The running of alpha_em. 

    option  1 : first-order running, constrained to agree with 
StandardModel:alphaEMmZ at the Z^0 mass. 
   

    option  0 : zeroth order, i.e. alpha_em is kept 
fixed at its value at vanishing momentum transfer.   

    option  -1 : zeroth order, i.e. alpha_em is kept 
fixed, but at StandardModel:alphaEMmZ, i.e. its value 
at the Z^0 mass. 
   
   
 

     
The natural scale for couplings and PDFs is pT^2. To explore 
uncertainties it is possibly to vary around this value, however, in 
analogy with what can be done for 
hard processes. 
 

    parm   SpaceShower:renormMultFac   
 (default = 1.; minimum = 0.1; maximum = 10.)
    
The default pT^2 renormalization scale is multiplied by 
this prefactor. For QCD this is equivalent to a change of 
Lambda^2 in the opposite direction, i.e. to a change of 
alpha_strong(M_Z^2) (except that flavour thresholds 
remain at fixed scales). Below, when pT^2 + pT_0^2 is used 
as scale, it is this whole expression that is multiplied by the prefactor. 
   
 

    parm   SpaceShower:factorMultFac   
 (default = 1.; minimum = 0.1; maximum = 10.)
    
The default pT^2 factorization scale is multiplied by 
this prefactor. 
   
 

     
There are two complementary ways of regularizing the small-pT 
divergence, a sharp cutoff and a smooth dampening. These can be 
combined as desired but it makes sense to coordinate with how the 
same issue is handled in multiparton interactions. 
 

    flag   SpaceShower:samePTasMPI   
 (default = off)
    
Regularize the pT → 0 divergence using the same sharp cutoff 
and smooth dampening parameters as used to describe multiparton interactions. 
That is, the MultipartonInteractions:pT0Ref, 
MultipartonInteractions:ecmRef, 
MultipartonInteractions:ecmPow and 
MultipartonInteractions:pTmin parameters are used to regularize 
all ISR QCD radiation, rather than the corresponding parameters below. 
This is a sensible physics ansatz, based on the assumption that colour 
screening effects influence both MPI and ISR in the same way. Photon 
radiation is regularized separately in either case. 

    Warning: if a large pT0 is picked for multiparton 
interactions, such that the integrated interaction cross section is 
below the nondiffractive inelastic one, this pT0 will 
automatically be scaled down to cope. Information on such a rescaling 
does NOT propagate to SpaceShower, however. 
   
 

     
The actual pT0 parameter used at a given CM energy scale, 
ecmNow, is obtained as 

     
    pT0 = pT0(ecmNow) = pT0Ref * (ecmNow / ecmRef)^ecmPow 

     
where pT0Ref, ecmRef and ecmPow are the 
three parameters below. 
 

    parm   SpaceShower:pT0Ref   
 (default = 2.0; minimum = 0.5; maximum = 10.0)
    
Regularization of the divergence of the QCD emission probability for 
pT → 0 is obtained by a factor pT^2 / (pT0^2 + pT^2), 
and by using an alpha_s(pT0^2 + pT^2). An energy dependence 
of the pT0 choice is introduced by the next two parameters, 
so that pT0Ref is the pT0 value for the reference 
cm energy, pT0Ref = pT0(ecmRef). 
   
 

    parm   SpaceShower:ecmRef   
 (default = 1800.0; minimum = 1.)
    
The ecmRef reference energy scale introduced above. 
   
 

    parm   SpaceShower:ecmPow   
 (default = 0.0; minimum = 0.; maximum = 0.5)
    
The ecmPow energy rescaling pace introduced above. 
   
 

    parm   SpaceShower:pTmin   
 (default = 0.2; minimum = 0.1; maximum = 10.0)
    
Lower cutoff in pT, below which no further ISR branchings 
are allowed. Normally the pT0 above would be used to 
provide the main regularization of the branching rate for 
pT → 0, in which case pTmin is used  mainly for 
technical reasons. It is possible, however, to set pT0Ref = 0 
and use pTmin to provide a step-function regularization, 
or to combine them in intermediate approaches. Currently pTmin 
is taken to be energy-independent. 
   
 

    parm   SpaceShower:pTminChgQ   
 (default = 0.5; minimum = 0.01)
    
Parton shower cut-off pT for photon coupling to a coloured 
particle. 
   
 

    parm   SpaceShower:pTminChgL   
 (default = 0.0005; minimum = 0.0001)
    
Parton shower cut-off mass for pure QED branchings. 
Assumed smaller than (or equal to) pTminChgQ. 
   
 

    flag   SpaceShower:rapidityOrder   
 (default = off)
    
Force emissions, after the first,  to be ordered in rapidity, 
i.e. in terms of decreasing angles in a backwards-evolution sense. 
Could be used to probe sensitivity to unordered emissions. 
Only affects QCD emissions. 
   
  

    Weak showers
     
 
The emission of weak gauge bosons is an integrated part of the initial- 
and final-state radiation, see Weak Showers. 
The following settings are those specifically related to the initial-state 
weak radiation, while common settings are found in the 
Weak Showers description. 
 

    flag   SpaceShower:weakShower   
 (default = off)
    
Allow a weak shower, yes or no. 
   
 

    mode   SpaceShower:weakShowerMode   
 (default = 0; minimum = 0; maximum = 2)
    
Determine which branchings are allowed. 

    option  0 :  both W^+- and Z^0 branchings. 
   

    option  1 :  only W^+- branchings.    

    option  2 :  only Z^0 branchings.    
   
 

    parm   SpaceShower:pTminWeak   
 (default = 1.0; minimum = 0.1; maximum = 2.0)
    
Parton shower cut-off pT for weak branchings. 
 

    Further variables
     
 
These should normally not be touched. Their only function is for 
cross-checks. 
 

     
There are three flags you can use to switch on or off selected 
branchings in the shower: 
 

    flag   SpaceShower:QCDshower   
 (default = on)
    
Allow a QCD shower; on/off = true/false. 
   
 

    flag   SpaceShower:QEDshowerByQ   
 (default = on)
    
Allow quarks to radiate photons; on/off = true/false. 
   
 

    flag   SpaceShower:QEDshowerByL   
 (default = on)
    
Allow leptons to radiate photons; on/off = true/false. 
   
 

     
There are some further possibilities to modify the shower: 
 

    flag   SpaceShower:MEcorrections   
 (default = on)
    
Use of matrix element corrections; on/off = true/false. 
   
 

    flag   SpaceShower:MEafterFirst   
 (default = on)
    
Use of matrix element corrections also after the first emission, 
for dipole ends of the same system that did not yet radiate. 
Only has a meaning if MEcorrections above is 
switched on. 
   
 

    flag   SpaceShower:phiPolAsym   
 (default = on)
    
Azimuthal asymmetry induced by gluon polarization; on/off = true/false. 
   
 

    flag   SpaceShower:phiIntAsym   
 (default = on)
    
Azimuthal asymmetry induced by interference; on/off = true/false. 
   
 

    parm   SpaceShower:strengthIntAsym   
 (default = 0.7; minimum = 0.; maximum = 0.9)
    
Size of asymmetry induced by interference. Natural value of order 0.5; 
expression would blow up for a value of 1. 
   
 

    mode   SpaceShower:nQuarkIn   
 (default = 5; minimum = 0; maximum = 5)
    
Number of allowed quark flavours in g → q qbar branchings, 
when kinematically allowed, and thereby also in incoming beams. 
Changing it to 4 would forbid g → b bbar, etc. 
   
 

    flag   SpaceShower:useFixedFacScale   
 (default = off)
    
Allow the possibility to use a fixed factorization scale, set by 
the parm below. This option is unphysical and only 
intended for toy-model and debug studies. 
   
 

    parm   SpaceShower:fixedFacScale   
 (default = 100.; minimum = 1.)
    
The fixed factorization scale, in GeV, that would be used in the 
evaluation of parton densities if the flag above is on. 
   
 

    Technical notes
     
 
Almost everything is equivalent to the algorithm in [1]. Minor changes 
are as follows. 

       

    •  
It is now possible to have a second-order running alpha_s, 
in addition to fixed or first-order running. 

      •  

    •  
The description of heavy flavour production in the threshold region 
has been modified, so as to be more forgiving about mismatches 
between the c/b  masses used in Pythia relative to those 
used in a respective PDF parametrization. The basic idea is that, 
in the threshold region of a heavy quark Q, Q = c/b, 
the effect of subsequent Q → Q g branchings is negligible. 
If so, then 

       
   f_Q(x, pT2) = integral_mQ2^pT2  dpT'2/pT'2 * alpha_s(pT'2)/2pi 
      * integral P(z) g(x', pT'2) delta(x - z x') 

       
so use this to select the pT2 of the g → Q Qbar 
branching. In the old formalism the same kind of behaviour should 
be obtained, but by a cancellation of a 1/f_Q that diverges 
at the threshold and a Sudakov that vanishes. 

       
The strategy therefore is that, once pT2 < f * mQ2, with 
f a parameter of the order of 2, a pT2 is chosen 
like dpT2/pT2 between mQ2 and f * mQ2, a 
nd a z flat in the allowed range. Thereafter acceptance 
is based on the product of three factors, representing the running 
of alpha_strong, the splitting kernel (including the mass term) 
and the gluon density weight. At failure, a new pT2 is chosen 
in the same  range, i.e. is not required to be lower since no Sudakov 
is involved. 

      •  

    •  
The QED algorithm now allows for hadron beams with non-zero photon 
content. The backwards-evolution of a photon in a hadron is identical 
to that of a gluon, with CF → eq^2 and CA → 0. 
Note that this will only work in conjunction with parton distributions 
that explicitly include photons as part of the hadron structure, such 
as the NNPDF2.3 QCD+QED sets. The possibility of a fermion 
backwards-evolving to a photon has not yet been included, nor has 
photon backwards-evolution in lepton beams. 

      •  

     
 


 
 
 
pythia8-8.1.86.orig/htmldoc/CompositenessProcesses.html0000644000175000017500000002376312357553535021431 0ustar  sunsun

Compositeness Processes




 

    Compositeness Processes
     
 
Compositeness scenarios may give rise to sharp resonances of excited 
quarks and leptons. An excited copy of the first generation is 
implemented, consisting of spin 1/2 particles. The possibility of 
contact interactions between SM fermions is also implemented in the 
context of 2 → 2 quark or fermion-lepton scattering. 
 

     
Related to excited fermions, the current implementation contains gauge 
interaction production by quark-gluon fusion or lepton-photon fusion 
and contact interaction production by quark-quark or quark-antiquark 
scattering. For both the 2 → 1 and 2 → 2 processes 
a non-trivial angular dependence is included in the decay, however, 
only decays into gauge bosons are supported, i.e. not decays through 
contact interactions. In additions to the compositeness scale and couplings 
listed below, you are expected to change the excited-fermion masses in 
accordance with what is desired. See [Bau90] for conventions. 
 

     
The contact interactions are implemented according to [Eic83]. 
The processes include the SM contributions as well as interference. 
For this reason the processes below converge toward the SM equivalents 
when the contact interaction contributions are close to zero, e.g. 
HardQCD:qq2qq and HardQCD:qqbar2qqbarNew in 
the case of quark scattering. 
 

    Excited fermions, production processes
     
 
A few different production processes have been implemented, which normally 
would not overlap and therefore could be run together. 
 

    flag   ExcitedFermion:all   
 (default = off)
    
Common switch for the group of implemented processes that produce an 
excited fermion. 
   
 

    flag   ExcitedFermion:dg2dStar   
 (default = off)
    
Scatterings d g → d^*. 
Code 4001. 
   
 

    flag   ExcitedFermion:ug2uStar   
 (default = off)
    
Scatterings u g → u^*. 
Code 4002. 
   
 

    flag   ExcitedFermion:sg2sStar   
 (default = off)
    
Scatterings s g → s^*. 
Code 4003. 
   
 

    flag   ExcitedFermion:cg2cStar   
 (default = off)
    
Scatterings c g → c^*. 
Code 4004. 
   
 

    flag   ExcitedFermion:bg2bStar   
 (default = off)
    
Scatterings b g → b^*. 
Code 4005. 
   
 

    flag   ExcitedFermion:egm2eStar   
 (default = off)
    
Scatterings e gamma → e^*. 
Code 4011. 
   
 

    flag   ExcitedFermion:mugm2muStar   
 (default = off)
    
Scatterings mu gamma → mu^*. 
Code 4013. 
   
 

    flag   ExcitedFermion:taugm2tauStar   
 (default = off)
    
Scatterings tau gamma → tau^*. 
Code 4015. 
   
 

    flag   ExcitedFermion:qq2dStarq   
 (default = off)
    
Scatterings q q(bar) → d^* q(bar). 
Code 4021. 
   
 

    flag   ExcitedFermion:qq2uStarq   
 (default = off)
    
Scatterings q q(bar) → u^* q(bar). 
Code 4022. 
   
 

    flag   ExcitedFermion:qq2sStarq   
 (default = off)
    
Scatterings q q(bar) → s^* q(bar). 
Code 4023. 
   
 

    flag   ExcitedFermion:qq2cStarq   
 (default = off)
    
Scatterings q q(bar) → c^* q(bar). 
Code 4024. 
   
 

    flag   ExcitedFermion:qq2bStarq   
 (default = off)
    
Scatterings q q(bar) → b^* q(bar). 
Code 4025. 
   
 

    flag   ExcitedFermion:qqbar2eStare   
 (default = off)
    
Scatterings q qbar → e^*+- e^-+. 
Code 4031. 
   
 

    flag   ExcitedFermion:qqbar2nueStarnue   
 (default = off)
    
Scatterings q qbar → nu_e^* nu_ebar. 
Code 4032. 
   
 

    flag   ExcitedFermion:qqbar2muStarmu   
 (default = off)
    
Scatterings q qbar → mu^*+- mu^-+. 
Code 4033. 
   
 

    flag   ExcitedFermion:qqbar2numuStarnumu   
 (default = off)
    
Scatterings q qbar → nu_mu^* nu_mubar. 
Code 4034. 
   
 

    flag   ExcitedFermion:qqbar2tauStartau   
 (default = off)
    
Scatterings q qbar → tau^*+- tau^-+. 
Code 4035. 
   
 

    flag   ExcitedFermion:qqbar2nutauStarnutau   
 (default = off)
    
Scatterings q qbar → nu_tau^* nu_taubar. 
Code 4036. 
   
 

    Excited fermions, parameters
     
 
The basic couplings of the model are 
 

    parm   ExcitedFermion:Lambda   
 (default = 1000.; minimum = 100.)
    
Compositeness scale Lambda in GeV. 
   
 

    parm   ExcitedFermion:coupF   
 (default = 1.0; minimum = 0.0)
    
Strength f of the SU(2) coupling. 
   
 

    parm   ExcitedFermion:coupFprime   
 (default = 1.0; minimum = 0.0)
    
Strength f' of the U(1) coupling. 
   
 

    parm   ExcitedFermion:coupFcol   
 (default = 1.0; minimum = 0.0)
    
Strength f_c of the SU(3) coupling. 
   
 

    Contact interactions, production processes
     
 
The processes including contact interactions are 
 

    flag   ContactInteractions:QCqq2qq   
 (default = off)
    
Scatterings q q → q q including contact interactions. 
Code 4201. 
   
 

    flag   ContactInteractions:QCqqbar2qqbar   
 (default = off)
    
Scatterings q qbar → q' qbar' including contact interactions. 
Code 4202. 
   
 

    flag   ContactInteractions:QCffbar2eebar   
 (default = off)
    
Scatterings f fbar → e- e+ including contact interactions. 
Code 4203. 
   
 

    flag   ContactInteractions:QCffbar2mumubar   
 (default = off)
    
Scatterings f fbar → mu- mu+ including contact interactions. 
Code 4204. 
   
 

    flag   ContactInteractions:QCffbar2tautaubar   
 (default = off)
    
Scatterings f fbar → tau- tau+ including contact interactions. 
Code 4205. 
   
 

    Contact interactions, parameters
     
 

    mode   ContactInteractions:nQuarkNew   
 (default = 3; minimum = 0; maximum = 5)
    
Number of allowed outgoing new quark flavours in the above 
q qbar → q' qbar' process. Similar to HardQCD:nQuarkNew 
for the QCD processes. 
   
 

    parm   ContactInteractions:Lambda   
 (default = 1000.; minimum = 100.)
    
Compositeness scale Lambda in GeV. Its overall normalization 
is largely a matter of convention. The choice made here for the 
q qbar → l- l+ processes is such that the pure contact 
interaction part of the left-left interactions (i.e. disregarding 
gamma^*, Z^0 and interference terms) has the form 
d(sigmaHat)/d(tHat) = pi * uHat^2 / (3 * sHat^2 * Lambda^4). 
The corresponding part of the q qbar → q' qbar' cross section 
is a factor 3 larger from colour. 
   
 

    mode   ContactInteractions:etaLL   
 (default = 0; minimum = -1; maximum = 1)
    
Helicity parameter. 

    option  1 :    

    option  0 :    

    option  -1 :    
   
 

    mode   ContactInteractions:etaRR   
 (default = 0; minimum = -1; maximum = 1)
    
Helicity parameter. 

    option  1 :    

    option  0 :    

    option  -1 :    
   
 

    mode   ContactInteractions:etaLR   
 (default = 0; minimum = -1; maximum = 1)
    
Helicity parameter. 

    option  1 :    

    option  0 :    

    option  -1 :    
   
 


 
 
 
pythia8-8.1.86.orig/htmldoc/ProgramMethods.html0000644000175000017500000044321312357553536017637 0ustar  sunsun

Program Methods






    Program Methods
    

This is an alphabetical index of all methods that are documented elsewhere
on these pages, beginning with the few methods that do not belong to a class.
Many of them are only intended for experts, while undocumented ones are only for code authors.

    

    


    
Return type
Method name
Documentation page

    


    
 
AlpgenHooks(...)
Alpgen Event Interface

    


    
friend double
cosphi(...)
Four-Vectors

    


    
friend double
cosphi(...)
Four-Vectors

    


    
friend double
costheta(...)
Four-Vectors

    


    
friend double
cross3(...)
Four-Vectors

    


    
friend double
dot3(...)
Four-Vectors

    


    
PDF*
getPDFPtr(...)
Program Flow

    


    
bool
initAfterBeams()
Alpgen Event Interface

    


    
friend double
m(...)
Four-Vectors

    


    
double
m(...)
Particle Properties

    


    
friend double
m2(...)
Four-Vectors

    


    
double
m2(...)
Particle Properties

    


    
friend ostream&
operator<<(...)
Four-Vectors

    


    
friend ostream&
operator<<(...)
Four-Vectors

    


    
friend Vec4
operator*(...)
Four-Vectors

    


    
friend Vec4
operator*(...)
Four-Vectors

    


    
friend double
operator*(...)
Four-Vectors

    


    
friend Hist
operator*(...)
Histograms

    


    
friend Hist
operator*(...)
Histograms

    


    
friend Hist
operator*(...)
Histograms

    


    
friend Vec4
operator+(...)
Four-Vectors

    


    
friend Hist
operator+(...)
Histograms

    


    
friend Hist
operator+(...)
Histograms

    


    
friend Hist
operator+(...)
Histograms

    


    
friend Vec4
operator-(...)
Four-Vectors

    


    
friend Hist
operator-(...)
Histograms

    


    
friend Hist
operator-(...)
Histograms

    


    
friend Hist
operator-(...)
Histograms

    


    
friend Vec4
operator/(...)
Four-Vectors

    


    
friend Hist
operator/(...)
Histograms

    


    
friend Hist
operator/(...)
Histograms

    


    
friend Hist
operator/(...)
Histograms

    


    
friend ostream&
operator<<(...)
Histograms

    


    
ParticleDataEntry&
particleDataEntry()
Particle Properties

    


    
friend double
phi(...)
Four-Vectors

    


    
friend double
phi(...)
Four-Vectors

    


    
friend double
REtaPhi(...)
Four-Vectors

    


    
friend double
RRapPhi(...)
Four-Vectors

    


    
void
setResonancePtr(...)
Particle Data Scheme

    


    
friend void
table(...)
Histograms

    


    
friend void
table(...)
Histograms

    


    
friend double
theta(...)
Four-Vectors

    


    
 
AlpgenPar::AlpgenPar(...)
Alpgen Event Interface

    


    
double
AlpgenPar::getParam(...)
Alpgen Event Interface

    


    
int
AlpgenPar::getParamAsInt(...)
Alpgen Event Interface

    


    
bool
AlpgenPar::haveParam(...)
Alpgen Event Interface

    


    
bool
AlpgenPar::parse(...)
Alpgen Event Interface

    


    
 
BeamShape::BeamShape()
Beam Shape

    


    
Vec4
BeamShape::deltaPA()
Beam Shape

    


    
Vec4
BeamShape::deltaPB()
Beam Shape

    


    
virtual void
BeamShape::init(...)
Beam Shape

    


    
virtual void
BeamShape::pick()
Beam Shape

    


    
Vec4
BeamShape::vertex()
Beam Shape

    


    
virtual
BeamShape::~BeamShape()
Beam Shape

    


    
bool
CellJet::analyze(...)
Event Analysis

    


    
 
CellJet::CellJet(...)
Event Analysis

    


    
double
CellJet::eT(...)
Event Analysis

    


    
double
CellJet::etaCenter(...)
Event Analysis

    


    
double
CellJet::etaWeighted(...)
Event Analysis

    


    
void
CellJet::list()
Event Analysis

    


    
double
CellJet::m(...)
Event Analysis

    


    
int
CellJet::multiplicity(...)
Event Analysis

    


    
int
CellJet::nError()
Event Analysis

    


    
double
CellJet::phiCenter(...)
Event Analysis

    


    
double
CellJet::phiWeighted(...)
Event Analysis

    


    
Vec4
CellJet::pMassive(...)
Event Analysis

    


    
Vec4
CellJet::pMassless(...)
Event Analysis

    


    
int
CellJet::size()
Event Analysis

    


    
 
ClusterJet::analyze(...)
Event Analysis

    


    
 
ClusterJet::ClusterJet(...)
Event Analysis

    


    
double
ClusterJet::distance(...)
Event Analysis

    


    
int
ClusterJet::distanceSize()
Event Analysis

    


    
int
ClusterJet::jetAssignment(...)
Event Analysis

    


    
void
ClusterJet::list(...)
Event Analysis

    


    
int
ClusterJet::mult(...)
Event Analysis

    


    
int
ClusterJet::nError()
Event Analysis

    


    
Vec4
ClusterJet::p(...)
Event Analysis

    


    
int
ClusterJet::size()
Event Analysis

    


    
double
CoupSM::af(...)
Standard Model Parameters

    


    
double
CoupSM::af2(...)
Standard Model Parameters

    


    
double
CoupSM::alphaEM(...)
Standard Model Parameters

    


    
double
CoupSM::alphaS(...)
Standard Model Parameters

    


    
double
CoupSM::alphaS1Ord(...)
Standard Model Parameters

    


    
double
CoupSM::alphaS2OrdCorr(...)
Standard Model Parameters

    


    
double
CoupSM::cos2thetaW()
Standard Model Parameters

    


    
 
CoupSM::CoupSM()
Standard Model Parameters

    


    
double
CoupSM::ef(...)
Standard Model Parameters

    


    
double
CoupSM::ef2(...)
Standard Model Parameters

    


    
double
CoupSM::efvf(...)
Standard Model Parameters

    


    
double
CoupSM::GF()
Standard Model Parameters

    


    
void
CoupSM::init(...)
Standard Model Parameters

    


    
double
CoupSM::Lambda3()
Standard Model Parameters

    


    
double
CoupSM::Lambda4()
Standard Model Parameters

    


    
double
CoupSM::Lambda5()
Standard Model Parameters

    


    
double
CoupSM::lf(...)
Standard Model Parameters

    


    
double
CoupSM::rf(...)
Standard Model Parameters

    


    
double
CoupSM::sin2thetaW()
Standard Model Parameters

    


    
double
CoupSM::sin2thetaWbar()
Standard Model Parameters

    


    
double
CoupSM::t3f(...)
Standard Model Parameters

    


    
double
CoupSM::V2CKMgen(...)
Standard Model Parameters

    


    
double
CoupSM::V2CKMid(...)
Standard Model Parameters

    


    
int
CoupSM::V2CKMpick(...)
Standard Model Parameters

    


    
double
CoupSM::V2CKMsum(...)
Standard Model Parameters

    


    
double
CoupSM::VCKMgen(...)
Standard Model Parameters

    


    
double
CoupSM::VCKMid(...)
Standard Model Parameters

    


    
double
CoupSM::vf(...)
Standard Model Parameters

    


    
double
CoupSM::vf2(...)
Standard Model Parameters

    


    
double
CoupSM::vf2af2(...)
Standard Model Parameters

    


    
double
DecayChannel::bRatio()
Particle Data Scheme

    


    
void
DecayChannel::bRatio(...)
Particle Data Scheme

    


    
bool
DecayChannel::contains(...)
Particle Data Scheme

    


    
bool
DecayChannel::contains(...)
Particle Data Scheme

    


    
bool
DecayChannel::contains(...)
Particle Data Scheme

    


    
double
DecayChannel::currentBR()
Particle Data Scheme

    


    
void
DecayChannel::currentBR(...)
Particle Data Scheme

    


    
 
DecayChannel::DecayChannel(...)
Particle Data Scheme

    


    
bool
DecayChannel::hasChanged()
Particle Data Scheme

    


    
int
DecayChannel::meMode()
Particle Data Scheme

    


    
void
DecayChannel::meMode(...)
Particle Data Scheme

    


    
int
DecayChannel::multiplicity()
Particle Data Scheme

    


    
void
DecayChannel::multiplicity(...)
Particle Data Scheme

    


    
int
DecayChannel::onMode()
Particle Data Scheme

    


    
void
DecayChannel::onMode(...)
Particle Data Scheme

    


    
double
DecayChannel::onShellWidth()
Particle Data Scheme

    


    
void
DecayChannel::onShellWidth(...)
Particle Data Scheme

    


    
void
DecayChannel::onShellWidthFactor(...)
Particle Data Scheme

    


    
void
DecayChannel::openSec(...)
Particle Data Scheme

    


    
double
DecayChannel::openSec(...)
Particle Data Scheme

    


    
void
DecayChannel::product(...)
Particle Data Scheme

    


    
int
DecayChannel::product(...)
Particle Data Scheme

    


    
void
DecayChannel::rescaleBR(...)
Particle Data Scheme

    


    
void
DecayChannel::setHasChanged(...)
Particle Data Scheme

    


    
virtual bool
DecayHandler::decay(...)
External Decays

    


    
int
Event::append(...)
Event Record

    


    
int
Event::append(...)
Event Record

    


    
int
Event::append(...)
Event Record

    


    
int
Event::append(...)
Event Record

    


    
int
Event::append(...)
Event Record

    


    
Particle&
Event::at(...)
Event Record

    


    
Particle&
Event::back()
Event Record

    


    
void
Event::bst(...)
Event Record

    


    
void
Event::bst(...)
Event Record

    


    
void
Event::bst(...)
Event Record

    


    
void
Event::clear()
Event Record

    


    
int
Event::copy(...)
Event Record

    


    
vector<int>
Event::daughterList(...)
Event Record

    


    
 
Event::Event(...)
Event Record

    


    
Particle&
Event::front()
Event Record

    


    
int
Event::iBotCopy(...)
Event Record

    


    
int
Event::iBotCopyId(...)
Event Record

    


    
void
Event::init(...)
Event Record

    


    
void
Event::initColTag(...)
Event Record

    


    
bool
Event::isAncestor(...)
Event Record

    


    
int
Event::iTopCopy(...)
Event Record

    


    
int
Event::iTopCopyId(...)
Event Record

    


    
int
Event::lastColTag()
Event Record

    


    
void
Event::list()
Event Record

    


    
void
Event::list(...)
Event Record

    


    
void
Event::list(...)
Event Record

    


    
void
Event::list(...)
Event Record

    


    
vector<int>
Event::motherList(...)
Event Record

    


    
int
Event::nextColTag()
Event Record

    


    
Event&
Event::operator+=(...)
Event Record

    


    
Event&
Event::operator=(...)
Event Record

    


    
Particle&
Event::operator[](...)
Event Record

    


    
const Particle&
Event::operator[](...)
Event Record

    


    
void
Event::popBack(...)
Event Record

    


    
void
Event::remove(...)
Event Record

    


    
void
Event::reset()
Event Record

    


    
void
Event::restorePtrs()
Event Record

    


    
void
Event::rot(...)
Event Record

    


    
void
Event::rotbst(...)
Event Record

    


    
double
Event::scale()
Event Record

    


    
void
Event::scale(...)
Event Record

    


    
double
Event::scaleSecond()
Event Record

    


    
void
Event::scaleSecond(...)
Event Record

    


    
int
Event::setEvtPtr(...)
Event Record

    


    
vector<int>
Event::sisterList(...)
Event Record

    


    
vector<int>
Event::sisterListTopBot(...)
Event Record

    


    
int
Event::size()
Event Record

    


    
int
Event::statusHepMC(...)
Event Record

    


    
bool
Event::undoDecay(...)
Event Record

    


    
void
Hist::book(...)
Histograms

    


    
void
Hist::fill(...)
Histograms

    


    
double
Hist::getBinContent(...)
Histograms

    


    
int
Hist::getEntries()
Histograms

    


    
 
Hist::Hist()
Histograms

    


    
 
Hist::Hist(...)
Histograms

    


    
 
Hist::Hist(...)
Histograms

    


    
 
Hist::Hist(...)
Histograms

    


    
void
Hist::name(...)
Histograms

    


    
void
Hist::null()
Histograms

    


    
Hist&
Hist::operator*=(...)
Histograms

    


    
Hist&
Hist::operator*=(...)
Histograms

    


    
Hist&
Hist::operator*=(...)
Histograms

    


    
Hist&
Hist::operator+=(...)
Histograms

    


    
Hist&
Hist::operator+=(...)
Histograms

    


    
Hist&
Hist::operator-=(...)
Histograms

    


    
Hist&
Hist::operator-=(...)
Histograms

    


    
Hist&
Hist::operator/=(...)
Histograms

    


    
Hist&
Hist::operator=(...)
Histograms

    


    
bool
Hist::sameSize(...)
Histograms

    


    
void
Hist::table(...)
Histograms

    


    
void
Hist::table(...)
Histograms

    


    
void
Hist::takeLog(...)
Histograms

    


    
void
Hist::takeSqrt()
Histograms

    


    
double
Info::a0MPI()
Event Information

    


    
void
Info::addCounter(...)
Event Information

    


    
double
Info::alphaEM()
Event Information

    


    
double
Info::alphaS()
Event Information

    


    
bool
Info::atEndOfFile()
Event Information

    


    
double
Info::bMPI()
Event Information

    


    
int
Info::code()
Event Information

    


    
int
Info::codeMPI(...)
Event Information

    


    
vector<int>
Info::codesHard()
Event Information

    


    
int
Info::codeSub()
Event Information

    


    
double
Info::eA()
Event Information

    


    
double
Info::eB()
Event Information

    


    
double
Info::eCM()
Event Information

    


    
double
Info::eMPI(...)
Event Information

    


    
double
Info::enhanceMPI()
Event Information

    


    
int
Info::getCounter(...)
Event Information

    


    
bool
Info::hasHistory()
Event Information

    


    
void
Info::hasHistory(...)
Event Information

    


    
bool
Info::hasSub()
Event Information

    


    
string
Info::header(...)
Event Information

    


    
vector <string>
Info::headerKeys()
Event Information

    


    
int
Info::iAMPI(...)
Event Information

    


    
int
Info::iBMPI(...)
Event Information

    


    
int
Info::id1()
Event Information

    


    
int
Info::id1pdf()
Event Information

    


    
int
Info::id2()
Event Information

    


    
int
Info::id2pdf()
Event Information

    


    
int
Info::idA()
Event Information

    


    
int
Info::idB()
Event Information

    


    
bool
Info::isDiffractiveA()
Event Information

    


    
bool
Info::isDiffractiveB()
Event Information

    


    
bool
Info::isDiffractiveC()
Event Information

    


    
bool
Info::isLHA()
Event Information

    


    
bool
Info::isMinBias()
Event Information

    


    
bool
Info::isNonDiffractive()
Event Information

    


    
bool
Info::isResolved()
Event Information

    


    
bool
Info::isValence1()
Event Information

    


    
bool
Info::isValence2()
Event Information

    


    
int
Info::lhaStrategy()
Event Information

    


    
void
Info::list()
Event Information

    


    
double
Info::m3Hat()
Event Information

    


    
double
Info::m4Hat()
Event Information

    


    
double
Info::mA()
Event Information

    


    
double
Info::mB()
Event Information

    


    
double
Info::mergingWeight()
Event Information

    


    
double
Info::mergingWeightNLO()
Event Information

    


    
double
Info::mHat()
Event Information

    


    
long
Info::nAccepted(...)
Event Information

    


    
string
Info::name()
Event Information

    


    
string
Info::nameProc(...)
Event Information

    


    
string
Info::nameSub()
Event Information

    


    
int
Info::nFinal()
Event Information

    


    
int
Info::nFinalSub()
Event Information

    


    
int
Info::nFSRinProc()
Event Information

    


    
int
Info::nFSRinRes()
Event Information

    


    
int
Info::nISR()
Event Information

    


    
int
Info::nMPI()
Event Information

    


    
long
Info::nSelected(...)
Event Information

    


    
long
Info::nTried(...)
Event Information

    


    
double
Info::pdf1()
Event Information

    


    
double
Info::pdf2()
Event Information

    


    
double
Info::phiHat()
Event Information

    


    
double
Info::pT2Hat()
Event Information

    


    
double
Info::pT2NowISR()
Event Information

    


    
void
Info::pT2NowISR(...)
Event Information

    


    
double
Info::pTHat()
Event Information

    


    
double
Info::pTmaxFSR()
Event Information

    


    
double
Info::pTmaxISR()
Event Information

    


    
double
Info::pTmaxMPI()
Event Information

    


    
double
Info::pTMPI(...)
Event Information

    


    
double
Info::pTnow()
Event Information

    


    
double
Info::pzA()
Event Information

    


    
double
Info::pzB()
Event Information

    


    
double
Info::Q2Fac()
Event Information

    


    
double
Info::Q2Ren()
Event Information

    


    
double
Info::QFac()
Event Information

    


    
double
Info::QRen()
Event Information

    


    
double
Info::s()
Event Information

    


    
double
Info::scalup()
Event Information

    


    
void
Info::setCounter(...)
Event Information

    


    
void
Info::setHeader(...)
Event Information

    


    
double
Info::sHat()
Event Information

    


    
double
Info::sigmaErr(...)
Event Information

    


    
double
Info::sigmaGen(...)
Event Information

    


    
double
Info::tau()
Event Information

    


    
double
Info::tHat()
Event Information

    


    
double
Info::thetaHat()
Event Information

    


    
bool
Info::tooLowPTmin()
Event Information

    


    
double
Info::uHat()
Event Information

    


    
double
Info::weight()
Event Information

    


    
double
Info::weightSum()
Event Information

    


    
double
Info::x1()
Event Information

    


    
double
Info::x1pdf()
Event Information

    


    
double
Info::x2()
Event Information

    


    
double
Info::x2pdf()
Event Information

    


    
double
Info::y()
Event Information

    


    
double
Info::zNowISR()
Event Information

    


    
void
Info::zNowISR(...)
Event Information

    


    
void
LHAup::addParticle(...)
Les Houches Accord

    


    
void
LHAup::addProcess(...)
Les Houches Accord

    


    
double
LHAup::alphaQCD()
Les Houches Accord

    


    
double
LHAup::alphaQED()
Les Houches Accord

    


    
void
LHAup::closeFile(...)
Les Houches Accord

    


    
bool
LHAup::closeLHEF(...)
Les Houches Accord

    


    
int
LHAup::col1(...)
Les Houches Accord

    


    
int
LHAup::col2(...)
Les Houches Accord

    


    
double
LHAup::e(...)
Les Houches Accord

    


    
double
LHAup::eBeamA()
Les Houches Accord

    


    
double
LHAup::eBeamB()
Les Houches Accord

    


    
bool
LHAup::eventLHEF(...)
Les Houches Accord

    


    
bool
LHAup::fileFound()
Les Houches Accord

    


    
string
LHAup::getFileName()
Les Houches Accord

    


    
int
LHAup::id(...)
Les Houches Accord

    


    
int
LHAup::id1()
Les Houches Accord

    


    
int
LHAup::id1pdf()
Les Houches Accord

    


    
int
LHAup::id2()
Les Houches Accord

    


    
int
LHAup::id2pdf()
Les Houches Accord

    


    
int
LHAup::idBeamA()
Les Houches Accord

    


    
int
LHAup::idBeamB()
Les Houches Accord

    


    
int
LHAup::idProcess()
Les Houches Accord

    


    
int
LHAup::idProcess(...)
Les Houches Accord

    


    
bool
LHAup::initLHEF()
Les Houches Accord

    


    
 
LHAup::LHAup(...)
Les Houches Accord

    


    
void
LHAup::listEvent(...)
Les Houches Accord

    


    
void
LHAup::listInit(...)
Les Houches Accord

    


    
double
LHAup::m(...)
Les Houches Accord

    


    
int
LHAup::mother1(...)
Les Houches Accord

    


    
int
LHAup::mother2(...)
Les Houches Accord

    


    
bool
LHAup::newEventFile(...)
Les Houches Accord

    


    
istream*
LHAup::openFile(...)
Les Houches Accord

    


    
bool
LHAup::openLHEF(...)
Les Houches Accord

    


    
double
LHAup::pdf1()
Les Houches Accord

    


    
double
LHAup::pdf2()
Les Houches Accord

    


    
int
LHAup::pdfGroupBeamA()
Les Houches Accord

    


    
int
LHAup::pdfGroupBeamB()
Les Houches Accord

    


    
bool
LHAup::pdfIsSet()
Les Houches Accord

    


    
int
LHAup::pdfSetBeamA()
Les Houches Accord

    


    
int
LHAup::pdfSetBeamB()
Les Houches Accord

    


    
double
LHAup::px(...)
Les Houches Accord

    


    
double
LHAup::py(...)
Les Houches Accord

    


    
double
LHAup::pz(...)
Les Houches Accord

    


    
double
LHAup::scale()
Les Houches Accord

    


    
double
LHAup::scale(...)
Les Houches Accord

    


    
double
LHAup::scalePDF()
Les Houches Accord

    


    
void
LHAup::setBeamA(...)
Les Houches Accord

    


    
void
LHAup::setBeamB(...)
Les Houches Accord

    


    
virtual bool
LHAup::setEvent(...)
Les Houches Accord

    


    
void
LHAup::setIdX(...)
Les Houches Accord

    


    
void
LHAup::setInfoHeader(...)
Les Houches Accord

    


    
void
LHAup::setInfoHeader(...)
Les Houches Accord

    


    
virtual bool
LHAup::setInit()
Les Houches Accord

    


    
bool
LHAup::setInitLHEF(...)
Les Houches Accord

    


    
bool
LHAup::setNewEventLHEF(...)
Les Houches Accord

    


    
bool
LHAup::setOldEventLHEF()
Les Houches Accord

    


    
void
LHAup::setPdf(...)
Les Houches Accord

    


    
void
LHAup::setProcess(...)
Les Houches Accord

    


    
void
LHAup::setPtr(...)
Les Houches Accord

    


    
void
LHAup::setStrategy(...)
Les Houches Accord

    


    
void
LHAup::setXErr(...)
Les Houches Accord

    


    
void
LHAup::setXMax(...)
Les Houches Accord

    


    
void
LHAup::setXSec(...)
Les Houches Accord

    


    
int
LHAup::sizePart()
Les Houches Accord

    


    
int
LHAup::sizeProc()
Les Houches Accord

    


    
virtual bool
LHAup::skipEvent(...)
Les Houches Accord

    


    
double
LHAup::spin(...)
Les Houches Accord

    


    
int
LHAup::status(...)
Les Houches Accord

    


    
int
LHAup::strategy()
Les Houches Accord

    


    
double
LHAup::tau(...)
Les Houches Accord

    


    
double
LHAup::weight()
Les Houches Accord

    


    
double
LHAup::x1()
Les Houches Accord

    


    
double
LHAup::x1pdf()
Les Houches Accord

    


    
double
LHAup::x2()
Les Houches Accord

    


    
double
LHAup::x2pdf()
Les Houches Accord

    


    
double
LHAup::xErr(...)
Les Houches Accord

    


    
double
LHAup::xErrSum()
Les Houches Accord

    


    
double
LHAup::xMax(...)
Les Houches Accord

    


    
double
LHAup::xSec(...)
Les Houches Accord

    


    
double
LHAup::xSecSum()
Les Houches Accord

    


    
virtual
LHAup::~LHAup()
Les Houches Accord

    


    
bool
LHAupAlpgen::addResonances()
Alpgen Event Interface

    


    
 
LHAupAlpgen::LHAupAlpgen(...)
Alpgen Event Interface

    


    
bool
LHAupAlpgen::rescaleMomenta()
Alpgen Event Interface

    


    
void
LHAupLHEF::closeAllFiles()
Les Houches Accord

    


    
virtual bool
MergingHooks::canCutOnRecState()
C K K W L Merging

    


    
virtual double
MergingHooks::dampenIfFailCuts(...)
C K K W L Merging

    


    
virtual bool
MergingHooks::doCutOnRecState(...)
C K K W L Merging

    


    
virtual double
MergingHooks::hardProcessME(...)
C K K W L Merging

    


    
 
MergingHooks::MergingHooks()
C K K W L Merging

    


    
int
MergingHooks::nHardInLeptons()
C K K W L Merging

    


    
int
MergingHooks::nHardInPartons()
C K K W L Merging

    


    
int
MergingHooks::nHardOutLeptons()
C K K W L Merging

    


    
int
MergingHooks::nHardOutPartons()
C K K W L Merging

    


    
int
MergingHooks::nMaxJets()
C K K W L Merging

    


    
int
MergingHooks::nResInCurrent()
C K K W L Merging

    


    
double
MergingHooks::tms()
C K K W L Merging

    


    
virtual double
MergingHooks::tmsDefinition(...)
C K K W L Merging

    


    
virtual
MergingHooks::~MergingHooks()
C K K W L Merging

    


    
int
Particle::acol()
Particle Properties

    


    
void
Particle::bst(...)
Particle Properties

    


    
void
Particle::bst(...)
Particle Properties

    


    
void
Particle::bst(...)
Particle Properties

    


    
void
Particle::bst(...)
Particle Properties

    


    
void
Particle::bstback(...)
Particle Properties

    


    
void
Particle::bstback(...)
Particle Properties

    


    
bool
Particle::canDecay()
Particle Properties

    


    
double
Particle::charge()
Particle Properties

    


    
int
Particle::chargeType()
Particle Properties

    


    
int
Particle::col()
Particle Properties

    


    
void
Particle::cols(...)
Particle Properties

    


    
int
Particle::colType()
Particle Properties

    


    
double
Particle::constituentMass()
Particle Properties

    


    
int
Particle::daughter1()
Particle Properties

    


    
int
Particle::daughter2()
Particle Properties

    


    
void
Particle::daughters(...)
Particle Properties

    


    
bool
Particle::doExternalDecay()
Particle Properties

    


    
double
Particle::e()
Particle Properties

    


    
double
Particle::eCalc()
Particle Properties

    


    
double
Particle::eT()
Particle Properties

    


    
double
Particle::eT2()
Particle Properties

    


    
double
Particle::eta()
Particle Properties

    


    
bool
Particle::hasVertex()
Particle Properties

    


    
int
Particle::iBotCopy()
Particle Properties

    


    
int
Particle::iBotCopyId()
Particle Properties

    


    
int
Particle::id()
Particle Properties

    


    
int
Particle::idAbs()
Particle Properties

    


    
void
Particle::index()
Particle Properties

    


    
bool
Particle::isAncestor(...)
Particle Properties

    


    
bool
Particle::isCharged()
Particle Properties

    


    
bool
Particle::isDiquark()
Particle Properties

    


    
bool
Particle::isFinal()
Particle Properties

    


    
bool
Particle::isGluon()
Particle Properties

    


    
bool
Particle::isHadron()
Particle Properties

    


    
bool
Particle::isLepton()
Particle Properties

    


    
bool
Particle::isNeutral()
Particle Properties

    


    
bool
Particle::isParton()
Particle Properties

    


    
bool
Particle::isQuark()
Particle Properties

    


    
bool
Particle::isRescatteredIncoming()
Particle Properties

    


    
bool
Particle::isResonance()
Particle Properties

    


    
bool
Particle::isVisible()
Particle Properties

    


    
int
Particle::iTopCopy()
Particle Properties

    


    
int
Particle::iTopCopyId()
Particle Properties

    


    
double
Particle::m()
Particle Properties

    


    
double
Particle::m0()
Particle Properties

    


    
double
Particle::m2()
Particle Properties

    


    
double
Particle::m2Calc()
Particle Properties

    


    
bool
Particle::mayDecay()
Particle Properties

    


    
double
Particle::mCalc()
Particle Properties

    


    
double
Particle::mMax()
Particle Properties

    


    
double
Particle::mMin()
Particle Properties

    


    
int
Particle::mother1()
Particle Properties

    


    
int
Particle::mother2()
Particle Properties

    


    
void
Particle::mothers(...)
Particle Properties

    


    
double
Particle::mSel()
Particle Properties

    


    
double
Particle::mT()
Particle Properties

    


    
double
Particle::mT2()
Particle Properties

    


    
double
Particle::mWidth()
Particle Properties

    


    
string
Particle::name()
Particle Properties

    


    
string
Particle::nameWithStatus()
Particle Properties

    


    
void
Particle::offsetCol(...)
Particle Properties

    


    
void
Particle::offsetHistory(...))
Particle Properties

    


    
Particle&
Particle::operator=(...)
Particle Properties

    


    
Vec4
Particle::p()
Particle Properties

    


    
void
Particle::p(...)
Particle Properties

    


    
double
Particle::pAbs()
Particle Properties

    


    
double
Particle::pAbs2()
Particle Properties

    


    
 
Particle::Particle()
Particle Properties

    


    
 
Particle::Particle(...)
Particle Properties

    


    
 
Particle::Particle(...)
Particle Properties

    


    
 
Particle::Particle(...)
Particle Properties

    


    
double
Particle::phi()
Particle Properties

    


    
double
Particle::pNeg()
Particle Properties

    


    
double
Particle::pol()
Particle Properties

    


    
double
Particle::pPos()
Particle Properties

    


    
double
Particle::pT()
Particle Properties

    


    
double
Particle::pT2()
Particle Properties

    


    
double
Particle::px()
Particle Properties

    


    
double
Particle::py()
Particle Properties

    


    
double
Particle::pz()
Particle Properties

    


    
void
Particle::rescale3(...)
Particle Properties

    


    
void
Particle::rescale4(...)
Particle Properties

    


    
void
Particle::rescale5(...)
Particle Properties

    


    
void
Particle::rot(...)
Particle Properties

    


    
void
Particle::rotbst(...)
Particle Properties

    


    
double
Particle::scale()
Particle Properties

    


    
void
Particle::setEvtPtr(...)
Particle Properties

    


    
void
Particle::setPDEPtr(...)
Particle Properties

    


    
vector<int>
Particle::sisterList(...)
Particle Properties

    


    
int
Particle::spinType()
Particle Properties

    


    
int
Particle::status()
Particle Properties

    


    
int
Particle::statusAbs()
Particle Properties

    


    
void
Particle::statusCode(...)
Particle Properties

    


    
int
Particle::statusHepMC()
Particle Properties

    


    
void
Particle::statusNeg()
Particle Properties

    


    
void
Particle::statusPos()
Particle Properties

    


    
double
Particle::tau()
Particle Properties

    


    
double
Particle::tau0()
Particle Properties

    


    
double
Particle::tDec()
Particle Properties

    


    
double
Particle::theta()
Particle Properties

    


    
double
Particle::thetaXZ()
Particle Properties

    


    
double
Particle::tProd()
Particle Properties

    


    
bool
Particle::undoDecay()
Particle Properties

    


    
Vec4
Particle::vDec()
Particle Properties

    


    
Vec4
Particle::vProd()
Particle Properties

    


    
void
Particle::vProd(...)
Particle Properties

    


    
double
Particle::xDec()
Particle Properties

    


    
double
Particle::xProd()
Particle Properties

    


    
double
Particle::y()
Particle Properties

    


    
double
Particle::yDec()
Particle Properties

    


    
double
Particle::yProd()
Particle Properties

    


    
double
Particle::zDec()
Particle Properties

    


    
double
Particle::zProd()
Particle Properties

    


    
void
ParticleData::addParticle(...)
Particle Data Scheme

    


    
void
ParticleData::addParticle(...)
Particle Data Scheme

    


    
void
ParticleData::antiName(...)
Particle Data Scheme

    


    
int
ParticleData::baryonNumberType(...)
Particle Data Scheme

    


    
bool
ParticleData::canDecay(...)
Particle Data Scheme

    


    
double
ParticleData::charge(...)
Particle Data Scheme

    


    
void
ParticleData::chargeType(...)
Particle Data Scheme

    


    
int
ParticleData::chargeType(...)
Particle Data Scheme

    


    
void
ParticleData::checkTable(...)
Particle Data Scheme

    


    
void
ParticleData::checkTable(...)
Particle Data Scheme

    


    
void
ParticleData::colType(...)
Particle Data Scheme

    


    
int
ParticleData::colType(...)
Particle Data Scheme

    


    
double
ParticleData::constituentMass(...)
Particle Data Scheme

    


    
bool
ParticleData::doExternalDecay(...)
Particle Data Scheme

    


    
void
ParticleData::doExternalDecays(...)
Particle Data Scheme

    


    
void
ParticleData::doForceWidth(...)
Particle Data Scheme

    


    
bool
ParticleData::doForceWidth(...)
Particle Data Scheme

    


    
bool
ParticleData::hasAnti(...)
Particle Data Scheme

    


    
void
ParticleData::hasChanged(...)
Particle Data Scheme

    


    
bool
ParticleData::hasChanged(...)
Particle Data Scheme

    


    
int
ParticleData::heaviestQuark(...)
Particle Data Scheme

    


    
bool
ParticleData::init(...)
Particle Data Scheme

    


    
void
ParticleData::initPtr(...)
Particle Data Scheme

    


    
void
ParticleData::initWidths(...)
Particle Data Scheme

    


    
bool
ParticleData::isBaryon(...)
Particle Data Scheme

    


    
bool
ParticleData::isDiquark(...)
Particle Data Scheme

    


    
bool
ParticleData::isGluon(...)
Particle Data Scheme

    


    
bool
ParticleData::isHadron(...)
Particle Data Scheme

    


    
bool
ParticleData::isLepton(...)
Particle Data Scheme

    


    
bool
ParticleData::isMeson(...)
Particle Data Scheme

    


    
bool
ParticleData::isOctetHadron(...)
Particle Data Scheme

    


    
bool
ParticleData::isParticle(...)
Particle Data Scheme

    


    
bool
ParticleData::isParton()
Particle Data Scheme

    


    
bool
ParticleData::isQuark(...)
Particle Data Scheme

    


    
void
ParticleData::isResonance(...)
Particle Data Scheme

    


    
bool
ParticleData::isResonance(...)
Particle Data Scheme

    


    
void
ParticleData::isVisible(...)
Particle Data Scheme

    


    
bool
ParticleData::isVisible(...)
Particle Data Scheme

    


    
void
ParticleData::list(...)
Particle Data Scheme

    


    
void
ParticleData::list(...)
Particle Data Scheme

    


    
void
ParticleData::list(...)
Particle Data Scheme

    


    
void
ParticleData::listAll(...)
Particle Data Scheme

    


    
void
ParticleData::listChanged(...)
Particle Data Scheme

    


    
void
ParticleData::listChangedAndRes(...)
Particle Data Scheme

    


    
void
ParticleData::listFF(...)
Particle Data Scheme

    


    
void
ParticleData::listXML(...)
Particle Data Scheme

    


    
void
ParticleData::m0(...)
Particle Data Scheme

    


    
double
ParticleData::m0(...)
Particle Data Scheme

    


    
double
ParticleData::m0Max(...)
Particle Data Scheme

    


    
double
ParticleData::m0Min(...)
Particle Data Scheme

    


    
void
ParticleData::mayDecay(...)
Particle Data Scheme

    


    
bool
ParticleData::mayDecay(...)
Particle Data Scheme

    


    
void
ParticleData::mMax(...)
Particle Data Scheme

    


    
double
ParticleData::mMax(...)
Particle Data Scheme

    


    
void
ParticleData::mMin(...)
Particle Data Scheme

    


    
double
ParticleData::mMin(...)
Particle Data Scheme

    


    
double
ParticleData::mRun(...)
Particle Data Scheme

    


    
double
ParticleData::mSel(...)
Particle Data Scheme

    


    
void
ParticleData::mWidth(...)
Particle Data Scheme

    


    
double
ParticleData::mWidth(...)
Particle Data Scheme

    


    
void
ParticleData::name(...)
Particle Data Scheme

    


    
string
ParticleData::name(...)
Particle Data Scheme

    


    
void
ParticleData::names(...)
Particle Data Scheme

    


    
int
ParticleData::nextId(...)
Particle Data Scheme

    


    
 
ParticleData::ParticleData()
Particle Data Scheme

    


    
ParticleDataEntry*
ParticleData::particleDataEntryPtr(...)
Particle Data Scheme

    


    
bool
ParticleData::readFF(...)
Particle Data Scheme

    


    
bool
ParticleData::readString(...)
Particle Data Scheme

    


    
bool
ParticleData::readXML(...)
Particle Data Scheme

    


    
bool
ParticleData::reInit(...)
Particle Data Scheme

    


    
void
ParticleData::rescaleBR(...)
Particle Data Scheme

    


    
void
ParticleData::resInit(...)
Particle Data Scheme

    


    
double
ParticleData::resOpenFrac(...)
Particle Data Scheme

    


    
double
ParticleData::resWidth(...)
Particle Data Scheme

    


    
double
ParticleData::resWidthChan(...)
Particle Data Scheme

    


    
double
ParticleData::resWidthOpen(...)
Particle Data Scheme

    


    
double
ParticleData::resWidthRescaleFactor(...)
Particle Data Scheme

    


    
double
ParticleData::resWidthStore(...)
Particle Data Scheme

    


    
void
ParticleData::setAll(...)
Particle Data Scheme

    


    
void
ParticleData::spinType(...)
Particle Data Scheme

    


    
int
ParticleData::spinType(...)
Particle Data Scheme

    


    
void
ParticleData::tau0(...)
Particle Data Scheme

    


    
double
ParticleData::tau0(...)
Particle Data Scheme

    


    
bool
ParticleData::useBreitWigner(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::addChannel(...)
Particle Data Scheme

    


    
int
ParticleDataEntry::baryonNumberType(...)
Particle Data Scheme

    


    
bool
ParticleDataEntry::canDecay(...)
Particle Data Scheme

    


    
DecayChannel&
ParticleDataEntry::channel(...)
Particle Data Scheme

    


    
const DecayChannel&
ParticleDataEntry::channel(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::charge(...)
Particle Data Scheme

    


    
int
ParticleDataEntry::chargeType(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::clearChannels()
Particle Data Scheme

    


    
int
ParticleDataEntry::colType(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::constituentMass()
Particle Data Scheme

    


    
bool
ParticleDataEntry::doExternalDecay()
Particle Data Scheme

    


    
bool
ParticleDataEntry::doForceWidth()
Particle Data Scheme

    


    
ResonanceWidths*
ParticleDataEntry::getResonancePtr()
Particle Data Scheme

    


    
bool
ParticleDataEntry::hasAnti()
Particle Data Scheme

    


    
void
ParticleDataEntry::hasChanged(...)
Particle Data Scheme

    


    
int
ParticleDataEntry::heaviestQuark(...)
Particle Data Scheme

    


    
int
ParticleDataEntry::id()
Particle Data Scheme

    


    
void
ParticleDataEntry::initBWmass()
Particle Data Scheme

    


    
void
ParticleDataEntry::initPtr(...)
Particle Data Scheme

    


    
bool
ParticleDataEntry::isBaryon()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isDiquark()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isGluon()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isHadron()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isLepton()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isMeson()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isOctetHadron()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isParton()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isQuark()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isResonance()
Particle Data Scheme

    


    
bool
ParticleDataEntry::isVisible()
Particle Data Scheme

    


    
double
ParticleDataEntry::m0()
Particle Data Scheme

    


    
double
ParticleDataEntry::m0Max()
Particle Data Scheme

    


    
double
ParticleDataEntry::m0Min()
Particle Data Scheme

    


    
bool
ParticleDataEntry::mayDecay()
Particle Data Scheme

    


    
double
ParticleDataEntry::mMax()
Particle Data Scheme

    


    
double
ParticleDataEntry::mMin()
Particle Data Scheme

    


    
double
ParticleDataEntry::mRun(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::mSel()
Particle Data Scheme

    


    
double
ParticleDataEntry::mWidth()
Particle Data Scheme

    


    
string
ParticleDataEntry::name(...)
Particle Data Scheme

    


    
 
ParticleDataEntry::ParticleDataEntry(...)
Particle Data Scheme

    


    
 
ParticleDataEntry::ParticleDataEntry(...)
Particle Data Scheme

    


    
DecayChannel&
ParticleDataEntry::pickChannel()
Particle Data Scheme

    


    
bool
ParticleDataEntry::preparePick(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::rescaleBR(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::resInit(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::resOpenFrac(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::resWidth(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::resWidthChan(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::resWidthOpen(...)
Particle Data Scheme

    


    
double
ParticleDataEntry::resWidthRescaleFactor()
Particle Data Scheme

    


    
double
ParticleDataEntry::resWidthStore(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setAll(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setAntiName(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setChargeType(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setColType(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setDefaults()
Particle Data Scheme

    


    
void
ParticleDataEntry::setDoExternalDecays(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setDoForceWidth(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setHasChanged(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setIsResonance(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setIsVisible(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setM0(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setMayDecay(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setMMax(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setMMin(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setMWidth(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setName(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setNames(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setResonancePtr(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setSpinType(...)
Particle Data Scheme

    


    
void
ParticleDataEntry::setTau0(...)
Particle Data Scheme

    


    
int
ParticleDataEntry::sizeChannels()
Particle Data Scheme

    


    
int
ParticleDataEntry::spinType()
Particle Data Scheme

    


    
double
ParticleDataEntry::tau0()
Particle Data Scheme

    


    
bool
ParticleDataEntry::useBreitWigner()
Particle Data Scheme

    


    
 
ParticleDataEntry::~ParticleDataEntry
Particle Data Scheme

    


    
void AlpgenPar::void
printParams()
Alpgen Event Interface

    


    
bool
Pythia8ToHepMC::convert_gluon_to_0()
HepMC Interface

    


    
bool
Pythia8ToHepMC::crash_on_problem()
HepMC Interface

    


    
bool
Pythia8ToHepMC::fill_next_event(...)
HepMC Interface

    


    
bool
Pythia8ToHepMC::fill_next_event(...)
HepMC Interface

    


    
bool
Pythia8ToHepMC::free_parton_warnings()
HepMC Interface

    


    
bool
Pythia8ToHepMC::print_inconsistency()
HepMC Interface

    


    
 
Pythia8ToHepMC::Pythia8ToHepMC()
HepMC Interface

    


    
void
Pythia8ToHepMC::set_convert_gluon_to_0(...)
HepMC Interface

    


    
void
Pythia8ToHepMC::set_crash_on_problem(...)
HepMC Interface

    


    
void
Pythia8ToHepMC::set_free_parton_warnings(...)
HepMC Interface

    


    
void
Pythia8ToHepMC::set_print_inconsistency(...)
HepMC Interface

    


    
void
Pythia8ToHepMC::set_store_pdf(...)
HepMC Interface

    


    
void
Pythia8ToHepMC::set_store_proc(...)
HepMC Interface

    


    
void
Pythia8ToHepMC::set_store_xsec(...)
HepMC Interface

    


    
bool
Pythia8ToHepMC::store_pdf()
HepMC Interface

    


    
bool
Pythia8ToHepMC::store_proc()
HepMC Interface

    


    
bool
Pythia8ToHepMC::store_xsec()
HepMC Interface

    


    
virtual
Pythia8ToHepMC::~Pythia8ToHepMC()
HepMC Interface

    


    
CoupSM
Pythia::coupSM
Program Flow

    


    
Event
Pythia::event
Program Flow

    


    
bool
Pythia::flag(...)
Program Flow

    


    
bool
Pythia::forceHadronLevel(...)
Program Flow

    


    
bool
Pythia::forceRHadronDecays()
Program Flow

    


    
int
Pythia::forceTimeShower(...)
Program Flow

    


    
Info
Pythia::info
Program Flow

    


    
bool
Pythia::init()
Program Flow

    


    
bool
Pythia::init(...)
Program Flow

    


    
bool
Pythia::init(...)
Program Flow

    


    
bool
Pythia::init(...)
Program Flow

    


    
bool
Pythia::init(...)
Program Flow

    


    
bool
Pythia::init(...)
Program Flow

    


    
void
Pythia::LHAeventList(...)
Program Flow

    


    
bool
Pythia::LHAeventSkip(...)
Program Flow

    


    
int
Pythia::mode(...)
Program Flow

    


    
bool
Pythia::moreDecays()
Program Flow

    


    
bool
Pythia::next()
Program Flow

    


    
double
Pythia::parm(...)
Program Flow

    


    
ParticleData
Pythia::particleData
Program Flow

    


    
PartonSystems
Pythia::partonSystems
Program Flow

    


    
Event
Pythia::process
Program Flow

    


    
 
Pythia::Pythia(...)
Program Flow

    


    
bool
Pythia::readFile(...)
Program Flow

    


    
bool
Pythia::readFile(...)
Program Flow

    


    
bool
Pythia::readFile(...)
Program Flow

    


    
bool
Pythia::readFile(...)
Program Flow

    


    
bool
Pythia::readString(...)
Program Flow

    


    
Rndm
Pythia::rndm
Program Flow

    


    
bool
Pythia::setBeamShapePtr(...)
Program Flow

    


    
bool
Pythia::setDecayPtr(...)
Program Flow

    


    
bool
Pythia::setLHAupPtr(...)
Program Flow

    


    
bool
Pythia::setPDFPtr(...)
Program Flow

    


    
bool
Pythia::setResonancePtr(...)
Program Flow

    


    
bool
Pythia::setRndmEnginePtr(...)
Program Flow

    


    
bool
Pythia::setShowerPtr(...)
Program Flow

    


    
bool
Pythia::setSigmaPtr(...)
Program Flow

    


    
Settings
Pythia::settings
Program Flow

    


    
bool
Pythia::setUserHooksPtr(...)
Program Flow

    


    
SusyLesHouches
Pythia::slha
Program Flow

    


    
void
Pythia::stat()
Program Flow

    


    
void
Pythia::statistics(...)
Program Flow

    


    
void
Pythia::statistics(...)
Event Statistics

    


    
string
Pythia::word(...)
Program Flow

    


    
 
Pythia::~Pythia
Program Flow

    


    
bool
ResonanceWidths::allowCalc()
Semi Internal Resonances

    


    
void
ResonanceWidths::calcPreFac(...)
Semi Internal Resonances

    


    
void
ResonanceWidths::calcWidth(...)
Semi Internal Resonances

    


    
bool
ResonanceWidths::initBSM()
Semi Internal Resonances

    


    
void
ResonanceWidths::initConstants()
Semi Internal Resonances

    


    
double
ResonanceWidths::widthChan(...)
Semi Internal Resonances

    


    
bool
Rndm::dumpState(...)
Random Numbers

    


    
double
Rndm::exp()
Random Numbers

    


    
double
Rndm::flat()
Random Numbers

    


    
double
Rndm::gauss()
Random Numbers

    


    
pair<double, double>
Rndm::gauss2()
Random Numbers

    


    
void
Rndm::init(...)
Random Numbers

    


    
int
Rndm::pick(...)
Random Numbers

    


    
bool
Rndm::readState(...)
Random Numbers

    


    
 
Rndm::Rndm()
Random Numbers

    


    
 
Rndm::Rndm(...)
Random Numbers

    


    
bool
Rndm::rndmEnginePtr(...)
Random Numbers

    


    
double
Rndm::xexp()
Random Numbers

    


    
virtual double
RndmEngine::flat()
Random Numbers

    


    
void
RotBstMatrix::bst(...)
Four-Vectors

    


    
void
RotBstMatrix::bst(...)
Four-Vectors

    


    
void
RotBstMatrix::bst(...)
Four-Vectors

    


    
void
RotBstMatrix::bstback(...)
Four-Vectors

    


    
double
RotBstMatrix::deviation()
Four-Vectors

    


    
void
RotBstMatrix::fromCMframe(...)
Four-Vectors

    


    
void
RotBstMatrix::invert()
Four-Vectors

    


    
RotBstMatrix&
RotBstMatrix::operator=(...)
Four-Vectors

    


    
void
RotBstMatrix::reset()
Four-Vectors

    


    
void
RotBstMatrix::rot(...)
Four-Vectors

    


    
void
RotBstMatrix::rot(...)
Four-Vectors

    


    
void
RotBstMatrix::rotbst(...);
Four-Vectors

    


    
 
RotBstMatrix::RotBstMatrix()
Four-Vectors

    


    
 
RotBstMatrix::RotBstMatrix(...)
Four-Vectors

    


    
void
RotBstMatrix::toCMframe(...)
Four-Vectors

    


    
void
Settings::addFlag(...)
Settings Scheme

    


    
void
Settings::addFVec(...)
Settings Scheme

    


    
void
Settings::addMode(...)
Settings Scheme

    


    
void
Settings::addMVec(...)
Settings Scheme

    


    
void
Settings::addParm(...)
Settings Scheme

    


    
void
Settings::addPVec(...)
Settings Scheme

    


    
void
Settings::addWord(...)
Settings Scheme

    


    
bool
Settings::flag(...)
Settings Scheme

    


    
void
Settings::flag(...)
Settings Scheme

    


    
bool
Settings::flagDefault(...)
Settings Scheme

    


    
void
Settings::forceMode(...)
Settings Scheme

    


    
void
Settings::forceMVec(...)
Settings Scheme

    


    
void
Settings::forceParm(...)
Settings Scheme

    


    
void
Settings::forcePVec(...)
Settings Scheme

    


    
vector<bool>
Settings::fvec(...)
Settings Scheme

    


    
void
Settings::fvec(...)
Settings Scheme

    


    
vector<bool>
Settings::fvecDefault(...)
Settings Scheme

    


    
map
Settings::getFlagMap(...)
Settings Scheme

    


    
map
Settings::getFVecMap(...)
Settings Scheme

    


    
map
Settings::getModeMap(...)
Settings Scheme

    


    
map
Settings::getMVecMap(...)
Settings Scheme

    


    
map
Settings::getParmMap(...)
Settings Scheme

    


    
map
Settings::getPVecMap(...)
Settings Scheme

    


    
map
Settings::getWordMap(...)
Settings Scheme

    


    
bool
Settings::init(...)
Settings Scheme

    


    
bool
Settings::initPtr(...)
Settings Scheme

    


    
bool
Settings::isFlag(...)
Settings Scheme

    


    
bool
Settings::isFVec(...)
Settings Scheme

    


    
bool
Settings::isMode(...)
Settings Scheme

    


    
bool
Settings::isMVec(...)
Settings Scheme

    


    
bool
Settings::isParm(...)
Settings Scheme

    


    
bool
Settings::isPVec(...)
Settings Scheme

    


    
bool
Settings::isWord(...)
Settings Scheme

    


    
void
Settings::list(...)
Settings Scheme

    


    
void
Settings::listAll(...)
Settings Scheme

    


    
void
Settings::listChanged(...)
Settings Scheme

    


    
int
Settings::mode(...)
Settings Scheme

    


    
void
Settings::mode(...)
Settings Scheme

    


    
int
Settings::modeDefault(...)
Settings Scheme

    


    
vector<int>
Settings::mvec(...)
Settings Scheme

    


    
void
Settings::mvec(...)
Settings Scheme

    


    
vector<int>
Settings::mvecDefault(...)
Settings Scheme

    


    
double
Settings::parm(...)
Settings Scheme

    


    
void
Settings::parm(...)
Settings Scheme

    


    
double
Settings::parmDefault(...)
Settings Scheme

    


    
vector<double>
Settings::pvec(...)
Settings Scheme

    


    
void
Settings::pvec(...)
Settings Scheme

    


    
vector<double>
Settings::pvecDefault(...)
Settings Scheme

    


    
bool
Settings::readString(...)
Settings Scheme

    


    
bool
Settings::reInit(...)
Settings Scheme

    


    
void
Settings::resetAll()
Settings Scheme

    


    
void
Settings::resetFlag(...)
Settings Scheme

    


    
void
Settings::resetFVec(...)
Settings Scheme

    


    
void
Settings::resetMode(...)
Settings Scheme

    


    
void
Settings::resetMVec(...)
Settings Scheme

    


    
void
Settings::resetParm(...)
Settings Scheme

    


    
void
Settings::resetPVec(...)
Settings Scheme

    


    
void
Settings::resetWord(...)
Settings Scheme

    


    
 
Settings::Settings()
Settings Scheme

    


    
string
Settings::word(...)
Settings Scheme

    


    
void
Settings::word(...)
Settings Scheme

    


    
string
Settings::wordDefault(...)
Settings Scheme

    


    
bool
Settings::writeFile(...)
Settings Scheme

    


    
bool
Settings::writeFile(...)
Settings Scheme

    


    
int
SigmaProcess::code()
Semi Internal Processes

    


    
bool
SigmaProcess::convert2mb()
Semi Internal Processes

    


    
bool
SigmaProcess::convertM2()
Semi Internal Processes

    


    
int
SigmaProcess::gmZmode()
Semi Internal Processes

    


    
int
SigmaProcess::id3Mass()
Semi Internal Processes

    


    
int
SigmaProcess::id4Mass()
Semi Internal Processes

    


    
int
SigmaProcess::id5Mass()
Semi Internal Processes

    


    
int
SigmaProcess::idSChannel()
Semi Internal Processes

    


    
int
SigmaProcess::idTchan1()
Semi Internal Processes

    


    
int
SigmaProcess::idTchan2()
Semi Internal Processes

    


    
string
SigmaProcess::inFlux()
Semi Internal Processes

    


    
void
SigmaProcess::initProc()
Semi Internal Processes

    


    
int
SigmaProcess::isQCD3body()
Semi Internal Processes

    


    
bool
SigmaProcess::isSChannel()
Semi Internal Processes

    


    
string
SigmaProcess::name()
Semi Internal Processes

    


    
int
SigmaProcess::resonanceA()
Semi Internal Processes

    


    
int
SigmaProcess::resonanceB()
Semi Internal Processes

    


    
void
SigmaProcess::setIdColAcol()
Semi Internal Processes

    


    
bool
SigmaProcess::setupForME()
Semi Internal Processes

    


    
double
SigmaProcess::sigmaHat()
Semi Internal Processes

    


    
void
SigmaProcess::sigmaKin()
Semi Internal Processes

    


    
double
SigmaProcess::tChanFracPow1()
Semi Internal Processes

    


    
double
SigmaProcess::tChanFracPow2()
Semi Internal Processes

    


    
bool
SigmaProcess::useMirrorWeight()
Semi Internal Processes

    


    
double
SigmaProcess::weightDecay(...)
Semi Internal Processes

    


    
double
SigmaProcess::weightDecayFlav(...)
Semi Internal Processes

    


    
bool
SlowJet::analyze(...)
Event Analysis

    


    
vector<int>
SlowJet::clusConstituents(...)
Event Analysis

    


    
vector<int>
SlowJet::constituents(...)
Event Analysis

    


    
double
SlowJet::dNext()
Event Analysis

    


    
bool
SlowJet::doNSteps(...)
Event Analysis

    


    
bool
SlowJet::doStep()
Event Analysis

    


    
int
SlowJet::iNext()
Event Analysis

    


    
int
SlowJet::jetAssignment(...)
Event Analysis

    


    
int
SlowJet::jNext()
Event Analysis

    


    
void
SlowJet::list()
Event Analysis

    


    
void
SlowJet::list(...)
Event Analysis

    


    
double
SlowJet::m(...)
Event Analysis

    


    
int
SlowJet::multiplicity(...)
Event Analysis

    


    
Vec4
SlowJet::p(...)
Event Analysis

    


    
double
SlowJet::phi(...)
Event Analysis

    


    
double
SlowJet::pT(...)
Event Analysis

    


    
void
SlowJet::removeJet(...)
Event Analysis

    


    
bool
SlowJet::setup(...)
Event Analysis

    


    
int
SlowJet::sizeAll()
Event Analysis

    


    
int
SlowJet::sizeJet()
Event Analysis

    


    
int
SlowJet::sizeOrig()
Event Analysis

    


    
 
SlowJet::SlowJet(...)
Event Analysis

    


    
bool
SlowJet::stopAtN(...)
Event Analysis

    


    
double
SlowJet::y(...)
Event Analysis

    


    
virtual bool
SlowJetHook::include(...)
Event Analysis

    


    
 
SlowJetHook::SlowJetHook()
Event Analysis

    


    
virtual
SlowJetHook::~SlowJetHook()
Event Analysis

    


    
virtual bool
SpaceShower::branch(...)
Implement New Showers

    


    
bool
SpaceShower::doRestart()
Implement New Showers

    


    
virtual double
SpaceShower::enhancePTmax()
Implement New Showers

    


    
bool
SpaceShower::getHasWeaklyRadiated()
Implement New Showers

    


    
virtual void
SpaceShower::init(...)
Implement New Showers

    


    
void
SpaceShower::initPtr(...)
Implement New Showers

    


    
virtual bool
SpaceShower::limitPTmax(...)
Implement New Showers

    


    
virtual void
SpaceShower::list(...)
Implement New Showers

    


    
virtual void
SpaceShower::prepare(...)
Implement New Showers

    


    
virtual double
SpaceShower::pTnext(...)
Implement New Showers

    


    
 
SpaceShower::SpaceShower()
Implement New Showers

    


    
int
SpaceShower::system()
Implement New Showers

    


    
virtual void
SpaceShower::update(...)
Implement New Showers

    


    
virtual
SpaceShower::~SpaceShower()
Implement New Showers

    


    
bool
Sphericity::analyze(...)
Event Analysis

    


    
double
Sphericity::aplanarity()
Event Analysis

    


    
double
Sphericity::eigenValue(...)
Event Analysis

    


    
Vec4
Sphericity::eventAxis(...)
Event Analysis

    


    
void
Sphericity::list(...)
Event Analysis

    


    
int
Sphericity::nError()
Event Analysis

    


    
double
Sphericity::sphericity()
Event Analysis

    


    
 
Sphericity::Sphericity(...)
Event Analysis

    


    
 
SuppressSmallPT::SuppressSmallPT(...)
User Hooks

    


    
bool
Thrust::analyze(...)
Event Analysis

    


    
Vec4
Thrust::eventAxis(...)
Event Analysis

    


    
void
Thrust::list(...)
Event Analysis

    


    
int
Thrust::nError()
Event Analysis

    


    
double
Thrust::oblateness()
Event Analysis

    


    
double
Thrust::thrust()
Event Analysis

    


    
 
Thrust::Thrust(...)
Event Analysis

    


    
double
Thrust::tMajor()
Event Analysis

    


    
double
Thrust::tMinor()
Event Analysis

    


    
virtual bool
TimeShower::branch(...)
Implement New Showers

    


    
double
TimeShower::enhancePTmax()
Implement New Showers

    


    
bool
TimeShower::getHasWeaklyRadiated()
Implement New Showers

    


    
virtual void
TimeShower::init(...)
Implement New Showers

    


    
void
TimeShower::initPtr(...)
Implement New Showers

    


    
virtual bool
TimeShower::limitPTmax(...)
Implement New Showers

    


    
virtual void
TimeShower::list(...)
Implement New Showers

    


    
virtual void
TimeShower::prepare(...)
Implement New Showers

    


    
virtual void
TimeShower::prepareGlobal(...)
Implement New Showers

    


    
double
TimeShower::pTLastInShower()
Implement New Showers

    


    
virtual double
TimeShower::pTnext(...)
Implement New Showers

    


    
virtual bool
TimeShower::rescatterPropogateRecoil(...)
Implement New Showers

    


    
virtual void
TimeShower::rescatterUpdate(...)
Implement New Showers

    


    
virtual int
TimeShower::shower(...)
Implement New Showers

    


    
virtual int
TimeShower::showerQED(...)
Implement New Showers

    


    
int
TimeShower::system()
Implement New Showers

    


    
 
TimeShower::TimeShower()
Implement New Showers

    


    
virtual void
TimeShower::update(...)
Implement New Showers

    


    
virtual
TimeShower::~TimeShower()
Implement New Showers

    


    
virtual double
UserHooks::biasedSelectionWeight()
User Hooks

    


    
virtual double
UserHooks::biasSelectionBy(...)
User Hooks

    


    
virtual bool
UserHooks::canBiasSelection()
User Hooks

    


    
virtual bool
UserHooks::canModifySigma()
User Hooks

    


    
virtual bool
UserHooks::canReconnectResonanceSystems()
User Hooks

    


    
virtual bool
UserHooks::canSetResonanceScale()
User Hooks

    


    
virtual bool
UserHooks::canVetoFSREmission()
User Hooks

    


    
virtual bool
UserHooks::canVetoISREmission()
User Hooks

    


    
virtual bool
UserHooks::canVetoMPIEmission()
User Hooks

    


    
virtual bool
UserHooks::canVetoMPIStep()
User Hooks

    


    
virtual bool
UserHooks::canVetoPartonLevel()
User Hooks

    


    
virtual bool
UserHooks::canVetoPartonLevelEarly()
User Hooks

    


    
virtual bool
UserHooks::canVetoProcessLevel()
User Hooks

    


    
virtual bool
UserHooks::canVetoPT()
User Hooks

    


    
virtual bool
UserHooks::canVetoResonanceDecays()
User Hooks

    


    
virtual bool
UserHooks::canVetoStep()
User Hooks

    


    
virtual bool
UserHooks::doReconnectResonanceSystems(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoFSREmission(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoISREmission(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoMPIEmission(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoMPIStep(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoPartonLevel(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoPartonLevelEarly(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoProcessLevel(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoPT(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoResonanceDecays(...)
User Hooks

    


    
virtual bool
UserHooks::doVetoStep(...)
User Hooks

    


    
virtual bool
UserHooks::initAfterBeams()
User Hooks

    


    
void
UserHooks::initPtr(...)
User Hooks

    


    
virtual double
UserHooks::multiplySigmaBy(...)
User Hooks

    


    
virtual int
UserHooks::numberVetoMPIStep()
User Hooks

    


    
virtual int
UserHooks::numberVetoStep()
User Hooks

    


    
void
UserHooks::omitResonanceDecays(...)
User Hooks

    


    
virtual double
UserHooks::scaleResonance(...)
User Hooks

    


    
virtual double
UserHooks::scaleVetoPT()
User Hooks

    


    
void
UserHooks::subEvent(...)
User Hooks

    


    
 
UserHooks::UserHooks()
User Hooks

    


    
Event
UserHooks::workEvent
User Hooks

    


    
virtual
UserHooks::~UserHooks()
User Hooks

    


    
void
Vec4::bst(...)
Four-Vectors

    


    
void
Vec4::bst(...)
Four-Vectors

    


    
void
Vec4::bst(...)
Four-Vectors

    


    
void
Vec4::bst(...)
Four-Vectors

    


    
void
Vec4::bstback(...)
Four-Vectors

    


    
void
Vec4::bstback(...)
Four-Vectors

    


    
double
Vec4::e()
Four-Vectors

    


    
void
Vec4::e(...)
Four-Vectors

    


    
double
Vec4::eT()
Four-Vectors

    


    
double
Vec4::eT2()
Four-Vectors

    


    
double
Vec4::eta()
Four-Vectors

    


    
void
Vec4::flip3()
Four-Vectors

    


    
void
Vec4::flip4()
Four-Vectors

    


    
double
Vec4::m2Calc()
Four-Vectors

    


    
double
Vec4::mCalc()
Four-Vectors

    


    
Vec4&
Vec4::operator*=(...)
Four-Vectors

    


    
Vec4&
Vec4::operator+=(...)
Four-Vectors

    


    
Vec4
Vec4::operator-()
Four-Vectors

    


    
Vec4&
Vec4::operator-=(...)
Four-Vectors

    


    
Vec4&
Vec4::operator/=(...)
Four-Vectors

    


    
Vec4&
Vec4::operator=(...)
Four-Vectors

    


    
Vec4&
Vec4::operator=(...)
Four-Vectors

    


    
void
Vec4::p(...)
Four-Vectors

    


    
void
Vec4::p(...)
Four-Vectors

    


    
double
Vec4::pAbs()
Four-Vectors

    


    
double
Vec4::pAbs2()
Four-Vectors

    


    
double
Vec4::phi()
Four-Vectors

    


    
double
Vec4::pNeg()
Four-Vectors

    


    
double
Vec4::pPos()
Four-Vectors

    


    
double
Vec4::pT()
Four-Vectors

    


    
double
Vec4::pT2()
Four-Vectors

    


    
double
Vec4::px()
Four-Vectors

    


    
void
Vec4::px(...)
Four-Vectors

    


    
double
Vec4::py()
Four-Vectors

    


    
void
Vec4::py(...)
Four-Vectors

    


    
double
Vec4::pz()
Four-Vectors

    


    
void
Vec4::pz(...)
Four-Vectors

    


    
double
Vec4::rap()
Four-Vectors

    


    
void
Vec4::rescale3(...)
Four-Vectors

    


    
void
Vec4::rescale4(...)
Four-Vectors

    


    
void
Vec4::reset()
Four-Vectors

    


    
void
Vec4::rot(...)
Four-Vectors

    


    
void
Vec4::rotaxis(...)
Four-Vectors

    


    
void
Vec4::rotaxis(...)
Four-Vectors

    


    
void
Vec4::rotbst(...)
Four-Vectors

    


    
double
Vec4::theta()
Four-Vectors

    


    
double
Vec4::thetaXZ()
Four-Vectors

    


    
 
Vec4::Vec4(...)
Four-Vectors

    


    
 
Vec4::Vec4(...)
Four-Vectors

    


    


pythia8-8.1.86.orig/htmldoc/RIVETusage.html0000644000175000017500000000575212357553536016624 0ustar  sunsun

RIVET usage




 

    RIVET usage
     
 
RIVET is a toolkit for 
the validation of Monte Carlo event generators [Buc10]. It 
contains the results of many experimental analyses, so that generator 
output can easily be compared to data, as well as providing a framework to 
implement your own analyses.  Although using PYTHIA with RIVET is not 
officially supported, some helpful hints are given below. The full RIVET 
manual is available online. 
 


     

    Using PYTHIA with RIVET
     
The following assumes that you already have RIVET installed. Instructions 
for this may be found 
 
here. 
 


     
Events are passed from PYTHIA to RIVET using the HepMC format. PYTHIA must 
be compiled with HepMC support, using the same version of HepMC used when 
compiling RIVET. This is setup through the PYTHIA configure 
script e.g. 

     
  ./configure --with-hepmc=/path/to/HepMC --with-hepmcversion=HepMC.version.number 

     
The PYTHIA library itself does not need to be recompiled. 
 


     
The examples/main42.cc sample program can then be used to 
generate events in HepMC format (which examples/main61.cc 
and examples/main62.cc extends by allowing LHAPDF usage 
and subruns). When in the examples directory, the main program 
can be built and used as follows 

     
  make main42 
  ./main42 main42.cmnd main42.hepmc 

     
The first argument is the input file which provides the options for event 
generation, while the second is the output file where the HepMC events 
should be written. 
 


     
This HepMC file may now be read and processed by RIVET 

     
  rivet --analysis=ANALYSIS_NAME main42.hepmc 

     
where ANALYSIS_NAME is a 
built-in RIVET 
analysis, or one you have created yourself. The output of RIVET is in 
the form of .aida files, containing the histograms for the 
analysis, which can be processed further with RIVET (see the 
 
RIVET documentation for more details). 
 


     
The above examples requires that (potentially large) HepMC events are stored 
to disk before being read by RIVET. It is possible, instead, to pass the 
events directly to RIVET as they are produced by using a FIFO 
pipe. This is done with the mkfifo command 

     
  mkfifo my_fifo 
  ./main42.exe main42.cmnd my_fifo & 
  rivet --analysis=ANALYSIS_NAME my_fifo 

     
Note that main42 is run in the background. 
 


 
 
pythia8-8.1.86.orig/htmldoc/Version.html0000644000175000017500000000152512357553536016325 0ustar  sunsun

Version




 

    Version
     
 
The settings on this page should not be changed by the ordinary user, 
but appear here for documentation purposes, and so that they can 
form part of the standard databases and be queried accordingly. 
 

    parm   Pythia:versionNumber   
 (default = 8.186)
    
Version and subversion number, with three significant decimals. 
   
 

    mode   Pythia:versionDate   
 (default = 20140708)
    
Last date of change of current (sub)version, in format yyyymmdd. 
   
 


 
 
pythia8-8.1.86.orig/Makefile0000644000175000017500000001650712357054745014024 0ustar  sunsun#
# Libraries Makefile. Some ideas from Geant4 Makefiles
#
#                  M. Kirsanov 07.04.2006
#                     Modified 18.11.2006
#                     26.03.2008 CLHEP dependency removed
#                  N. Lavesson 28.04.2009 clean/distclean separated
#                  M. Kirsanov 21.07.2009 Mac-OSX flags added

.PHONY: all install installit installmain installdata clean distclean

SHELL = /bin/sh

-include config.mk

# flags:
#
#FFLAGSSHARED = -fPIC
CFLAGSSHARED = -fPIC
CXXFLAGSSHARED = -fPIC


HEPMCERROR=
ifneq (x$(HEPMCLOCATION),x)
 ifeq ($(wildcard $(HEPMCLOCATION)/include/HepMC/*.h),)
  HEPMCERROR= HepMC interface: ERROR, no HepMC headers found in ${HEPMCLOCATION}/include/HepMC
 endif
endif

# Location of directories.
MYTMPDIR=tmp
TOPDIR=$(shell \pwd)
INCDIR=include
SRCDIR=src
LIBDIR=lib
LIBDIRARCH=lib/archive
BINDIR=bin

# Location of libraries to be built.
ifeq ($(SHAREDLIBS),yes)
  targets=$(LIBDIRARCH)/libpythia8.a
  targets+=$(LIBDIR)/libpythia8.$(SHAREDSUFFIX)
  targets+=$(LIBDIRARCH)/liblhapdfdummy.a
  targets+=$(LIBDIR)/liblhapdfdummy.$(SHAREDSUFFIX)
else
  targets=$(LIBDIRARCH)/libpythia8.a
  targets+=$(LIBDIRARCH)/liblhapdfdummy.a
endif

ifneq (x$(HEPMCLOCATION),x)
 targets+=$(LIBDIRARCH)/libpythia8tohepmc.a
 ifeq ($(SHAREDLIBS),yes)
  targets+=$(LIBDIR)/libpythia8tohepmc.$(SHAREDSUFFIX)
 endif
endif


all: $(targets) config.mk

# This default run of configure should only happen if configure 
# has not already been explicitly run.
config.mk:
	./configure

# Main part: build Pythia8 library.

$(MYTMPDIR)/%.o : $(SRCDIR)/%.cc
	@mkdir -p $(MYTMPDIR)
	$(CXX) $(CXXFLAGS) $(CXXFLAGSSHARED) -c -I$(INCDIR) $< -o $@

$(MYTMPDIR)/archive/%.o : $(SRCDIR)/%.cc
	@mkdir -p $(MYTMPDIR)/archive
	$(CXX) $(CXXFLAGS) -c -I$(INCDIR) $< -o $@

$(MYTMPDIR)/%.o : lhapdfdummy/%.cc
	@mkdir -p $(MYTMPDIR)
	$(CXX) $(CXXFLAGS) $(CXXFLAGSSHARED) -c -I$(INCDIR) $< -o $@

$(MYTMPDIR)/archive/%.o : lhapdfdummy/%.cc
	@mkdir -p $(MYTMPDIR)/archive
	$(CXX) $(CXXFLAGS) -c -I$(INCDIR) $< -o $@

# Creating the dependency files *.d
# The compiler with option -M is used to build the dependency strings. They
# are further edited with sed (stream editor). The first sed command adds the
# dependency for the *.d files themselves, the second one is needed because
# object files are put in the directory different from src. The last line
# removes empty *.d files produced in case of error.

ifeq ($(SHAREDLIBS),yes)
  $(MYTMPDIR)/%.d : $(SRCDIR)/%.cc
	@echo Making dependency for file $<; \
	mkdir -p $(MYTMPDIR); \
	$(CC) -M -I$(INCDIR) $< | \
	sed 's,\($*\)\.o[ :]*,\1.o $@ : ,g' | \
	sed 's/$*\.o/$(MYTMPDIR)\/$*.o/' > $@; \
	[ -s $@ ] || rm -f $@
endif

$(MYTMPDIR)/archive/%.d : $(SRCDIR)/%.cc
	@echo Making dependency for file $<; \
	mkdir -p $(MYTMPDIR)/archive; \
	$(CC) -M -I$(INCDIR) $< | \
	sed 's,\($*\)\.o[ :]*,\1.o $@ : ,g' | \
	sed 's/$*\.o/$(MYTMPDIR)\/archive\/$*.o/' > $@; \
	[ -s $@ ] || rm -f $@

objects := $(patsubst $(SRCDIR)/%.cc,$(MYTMPDIR)/%.o,$(wildcard $(SRCDIR)/*.cc))
objectsarch := $(patsubst $(SRCDIR)/%.cc,$(MYTMPDIR)/archive/%.o,$(wildcard $(SRCDIR)/*.cc))

$(LIBDIR)/libpythia8.$(SHAREDSUFFIX): $(objects)
	@mkdir -p $(LIBDIR)
	$(CXX) $(LDFLAGSSHARED) -o $@ $(objects) $(LDFLAGLIBNAME),$(notdir $@)

$(LIBDIRARCH)/libpythia8.a: $(objectsarch)
	@mkdir -p $(LIBDIRARCH)
	ar cru $@ $(objectsarch)

objdum := $(patsubst lhapdfdummy/%.cc,$(MYTMPDIR)/%.o,$(wildcard lhapdfdummy/*.cc))
objdumarch := $(patsubst lhapdfdummy/%.cc,$(MYTMPDIR)/archive/%.o,$(wildcard lhapdfdummy/*.cc))

$(LIBDIR)/liblhapdfdummy.$(SHAREDSUFFIX): $(objdum)
	@mkdir -p $(LIBDIR)
	$(CXX) $(LDFLAGSSHARED) -o $@ $(objdum) $(LDFLAGLIBNAME),$(notdir $@)

$(LIBDIRARCH)/liblhapdfdummy.a: $(objdumarch)
	@mkdir -p $(LIBDIRARCH)
	ar cru $@ $(objdumarch)

deps := $(patsubst $(SRCDIR)/%.cc,$(MYTMPDIR)/%.d,$(wildcard $(SRCDIR)/*.cc))
depsarch := $(patsubst $(SRCDIR)/%.cc,$(MYTMPDIR)/archive/%.d,$(wildcard $(SRCDIR)/*.cc))


# The "if" below is needed in order to avoid producing the dependency files
# when you want to just clean

ifeq (,$(findstring clean, $(MAKECMDGOALS)))
-include $(deps)
-include $(depsarch)
endif

# Build HepMC interface part if HepMC location is set.

ifneq (x$(HEPMCLOCATION),x)
 HEPMCINCLUDE=-I$(HEPMCLOCATION)/include

 ifeq (x$(HEPMCERROR),x)

   $(MYTMPDIR)/%.o : pythia8tohepmc/%.cc config.mk
	@mkdir -p $(MYTMPDIR)
	$(CXX) $(CXXFLAGS) $(CXXFLAGSSHARED) $(HEPMCVFLAG) -c -I$(INCDIR) $(HEPMCINCLUDE) $< -o $@

   $(MYTMPDIR)/archive/%.o : pythia8tohepmc/%.cc config.mk
	@mkdir -p $(MYTMPDIR)/archive
	$(CXX) $(CXXFLAGS) $(HEPMCVFLAG) -c -I$(INCDIR) $(HEPMCINCLUDE) $< -o $@

   $(MYTMPDIR)/%.d : pythia8tohepmc/%.cc
	@echo Making dependency for file $<; \
	mkdir -p $(MYTMPDIR); \
	$(CC) -M -I$(INCDIR) $(HEPMCINCLUDE) $< | \
	sed 's,\($*\)\.o[ :]*,\1.o $@ : ,g' | \
	sed 's/$*.o/$(MYTMPDIR)\/$*.o/' > $@; \
	[ -s $@ ] || rm -f $@

   $(MYTMPDIR)/archive/%.d : pythia8tohepmc/%.cc
	@echo Making dependency for file $<; \
	mkdir -p $(MYTMPDIR)/archive; \
	$(CC) -M -I$(INCDIR) $(HEPMCINCLUDE) $< | \
	sed 's,\($*\)\.o[ :]*,\1.o $@ : ,g' | \
	sed 's/$*.o/$(MYTMPDIR)\/archive\/$*.o/' > $@; \
	[ -s $@ ] || rm -f $@

   objectsI := $(patsubst pythia8tohepmc/%.cc,$(MYTMPDIR)/%.o,$(wildcard pythia8tohepmc/*.cc))
   objectsIarch := $(patsubst pythia8tohepmc/%.cc,$(MYTMPDIR)/archive/%.o,$(wildcard pythia8tohepmc/*.cc))

   $(LIBDIR)/libpythia8tohepmc.$(SHAREDSUFFIX) : $(objectsI)
	@mkdir -p $(LIBDIR)
	$(CXX) $(LDFLAGSSHARED) $(objectsI) -o $@ $(LDFLAGLIBNAME),$(notdir $@)

   $(LIBDIRARCH)/libpythia8tohepmc.a : $(objectsIarch)
	@mkdir -p $(LIBDIRARCH)
	ar cru $(LIBDIRARCH)/libpythia8tohepmc.a $(objectsIarch)

   depsI := $(patsubst pythia8tohepmc/%.cc,$(MYTMPDIR)/%.d,$(wildcard pythia8tohepmc/*.cc))
   depsIarch := $(patsubst pythia8tohepmc/%.cc,$(MYTMPDIR)/archive/%.d,$(wildcard pythia8tohepmc/*.cc))

   ifeq (,$(findstring clean, $(MAKECMDGOALS)))
   -include $(depsI)
   -include $(depsIarch)
   endif

 else

   $(LIBDIRARCH)/libpythia8tohepmc.a $(LIBDIR)/libpythia8tohepmc.$(SHAREDSUFFIX) :
	@echo $(HEPMCERROR)



 endif

endif


# Install targets:

ifneq (x$(INSTALLDIR),x.)
 install: all
	mkdir -p $(INSTALLDIR)
	mkdir -p $(INSTALLDIR)/bin
	mkdir -p $(DATADIR)
	make installit
 installit: installmain installdata
 installmain:
	cp -r include $(INSTALLDIR)/.
	cp -r lib $(INSTALLDIR)/.
	cp -p config.mk $(INSTALLDIR)/.
	cp -p bin/pythia8-config $(INSTALLDIR)/bin/

 ifneq ($(DATADIR),$(INSTALLDIR))
  installdata:
	rm -rf $(DATADIR)/xmldoc
	rm -f $(INSTALLDIR)/xmldoc
	cp -r *doc $(DATADIR)/.
	ln -fs $(DATADIR)/xmldoc $(INSTALLDIR)/xmldoc
 else
  installdata:
	rm -rf $(INSTALLDIR)/xmldoc
	cp -r xmldoc $(INSTALLDIR)/.
 endif
else
 install: all
	@echo "everything is already installed"
endif


# Clean up: remove (almost?) everything that cannot be recreated.

clean:
	rm -rf $(MYTMPDIR)
	rm -rf $(LIBDIR)
	rm -rf $(BINDIR)/*.exe
	cd examples; rm -rf bin; rm -f *.exe; cd -
	cd rootexamples; rm -f *.exe; cd -

distclean: clean
	rm -f config.mk
	rm -f *~; rm -f \#*;
	rm -rf $(BINDIR)
	cd $(SRCDIR); rm -f *~; rm -f \#*; cd -
	cd $(INCDIR)/Pythia8; rm -f *~; rm -f \#*; cd -
	cd xmldoc; rm -f *~; rm -f \#*; cd -
	cd htmldoc; rm -f *~; rm -f \#*; cd -
	cd phpdoc; rm -f *~; rm -f \#*; cd -
	cd pythia8tohepmc; rm -f *~; rm -f \#*; cd -
	cd lhapdfdummy; rm -f *~; rm -f \#*; cd -
	cd examples; rm -f *~; rm -f \#*; rm -f core*; rm -f config.*; cd -
	cd rootexamples; rm -f *~; rm -f \#*; rm -f core*; rm -f config.*; cd -

pythia8-8.1.86.orig/xmldoc/0000755000175000017500000000000012357554225013637 5ustar  sunsunpythia8-8.1.86.orig/xmldoc/Version.xml0000444000175000017500000000111012357055031015764 0ustar  sunsun 
 

    Version
     
 
The settings on this page should not be changed by the ordinary user, 
but appear here for documentation purposes, and so that they can 
form part of the standard databases and be queried accordingly. 
 
 
Version and subversion number, with three significant decimals. 
 
 
 
Last date of change of current (sub)version, in format yyyymmdd. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/SampleMainPrograms.xml0000444000175000017500000004021712357055027020120 0ustar  sunsun 
 

    Sample Main Programs
     
 
Descriptions of available classes, methods and settings are all 
very good and useful. Ultimately they are necessary for you to 
be able to fine-tune your runs to the task at hand. To get going, 
however, nothing helps like having explicit examples to study. 
This is what is provided in the examples subdirectory, 
along with instructions how they should be run: 

       
 

    • main00.cc : does not exist, but it has been defined 
in the Makefile, so this name could be used for a simple 
first test run. 
 

    • main01.cc : a simple study of the charged multiplicity 
for jet events at the LHC. (Brief example fitting on one slide.)
      •  
 

    • main02.cc : a simple study of the pT spectrum 
of Z bosons at the Tevatron. (Brief example fitting on one slide.)
      •  
 

    • main03.cc : a simple study of several different kinds 
of events, with the choice to be made in the main03.cmnd 
"cards file".
      •  
 

    • main04.cc : tests of cross sections, multiplicities and 
average transverse momenta for elastic, diffractive and nondiffractive 
topologies, using main04.cmnd to pick processes.
      •  
 

    • main05.cc : generation of QCD jet events at the LHC, 
with jet analysis using the SlowJet inclusive anti-kT 
sequential-recombination finder and the CellJet 
cone-jet finder.
      •  
 

    • main06.cc : generation of LEP1 hadronic events, i.e. 
e^+e^- → gamma*/Z^0 → q qbar, with charged multiplicity, 
sphericity, thrust and jet analysis.
      •  
 

    • main07.cc : set up a fictitious production process 
to a generic resonance, where you easily can compose your own list 
of (two-body) decay modes to a variety of final states. Also traces 
decay chains down to truly stable particles: gamma, e+-, p/pbar and 
neutrinos. Suitable for astroparticle applications, like neutralino 
pair annihilation, where cross sections are calculated separately 
in another program.
      •  
 

    • main08.cc : generation of the QCD jet cross section 
biased towards higher pT values, by two different techniques. 
Firstly, by splitting the run into subruns, each in its own pT 
bin, and adding the results properly reweighted. Two suboptions, with 
limits set either in the main program or by subrun specification in the 
main08.cmnd file. Secondly, by a continuous reweighting 
with a pT^4 bias in the selection, compensated by a 
1/pT^4 event weight. Also inclusion of soft processes is 
illustrated, with subruns and weighted events.
      •  
 

    • main09.cc : generation of two predetermined hard 
interactions in each event.
      •  
 

    • main10.cc : illustration how userHooks can be used 
interact directly with the event-generation process.
      •  
 

    • main11.cc : a study of top events, fed in from the 
Les Houches Event File ttbar.lhe, here generated by 
PYTHIA 6.4. This file currently only contains 100 events 
so as not to make the distributed PYTHIA package too big, and so serves 
mainly as a demonstration of the principles involved. 
      •  
 

    • main12.cc : a more sophisticated variant of 
main11.cc, where two Les Houches Event Files 
(ttbar.lhe and ttbar2.lhe) successively 
are used as input. Also illustrating some other aspects, like the 
capability to mix in internally generated events.
      •  
 

    • main13.cc : a streamlined version of 
main12.cc, where two Les Houches Event Files 
(ttbar.lhe and ttbar2.lhe) successively 
are used as input in main13.cmnd file.
      •  
 

    • main14.cc : a systematic comparison of several 
cross section values with their corresponding values in PYTHIA 6.4, 
the latter available as a table in the code.
      •  
 

    • main15.cc : loop over several tries, either to redo 
B decays only or to redo the complete hadronization chain of an event. 
Since much of the generation process is only made once this is a way 
to increase efficiency.
      •  
 

    • main16.cc : put all user analysis code into a class 
of its own, separate from the main program; provide the "cards file" 
name as a command-line argument. Also exemplifies how Higgs mass, 
width and branching ratios can be set by hand.
      •  
 

    • main17.cc : shows (a) how to use UserHooks to 
regularize onium cross section for pT → 0, and (b) how decays 
could be handled externally.
      •  
 

    • main18.cc : shows how to write an event filter class, 
where you keep a vector of pointers to the subset of particles you 
want to study further. The event record itself remains unchanged.
      •  
 

    • main19.cc : use several instances of Pythia, one for 
signal events and others for a variable number of pileup and "beam-gas" 
events, combined into one common event record.
      •  
 

    • main20.cc : shows how PYTHIA 8 can write a Les Houches 
Event File, using facilities potentially useful also for other programs 
to write an LHEF.
      •  
 

    • main21.cc : an example how a single particle or various 
parton-level configurations can be input directly for hadronization, 
without being tied to the full process-generation machinery, e.g. to 
study the hadronization of junction topologies. Can also be used for 
single-resonance decays, with showers.
      •  
 

    • main22.cc : shows how an external resonance can be 
implemented as a new class derived from a PYTHIA base class, and be 
used in an external process, both of them handed in for generation 
as with normal internal classes.
      •  
 

    • main23.cc : shows how an external beam momentum spread 
and vertex location generator can be implemented as a new class derived 
from a PYTHIA base class, and then handed in for internal use. 
Also how to use an external random-number generator and an external 
parton distribution set.
      •  
 

    • main24.cc : tests of internally implemented cross sections 
for Supersymmetric particle production, with SUSY spectrum defined in 
cmssm.spc and settings in main24.cmnd. For 
illustration, an alternative example spectrum is also 
available, sps1aWithDecays.spc, which contains a decay 
table in SLHA format.
      •  
 

    • main25.cc : input RPV-SUSY events from an LHEF file that 
contains an SLHA spectrum inside its header. The event file, 
main25.lhe, contains a sample events that 
illustrate how to arrange color tags in the presence of the 
color-space epsilon tensors that accompany baryon number violating 
event topologies. 
      •  
 

    • main26.cc : test program for processes in scenarios 
with large extra dimensions or unparticles. 
      •  
 

    • main27.cc : production of Kaluza-Klein gamma/Z 
states in TeV-sized extra dimensions. 
      •  
 

    • main28.cc : production of long-lived R-hadrons, that 
are forced to decay at a separate vertices and possibly with changed 
momenta.
      •  
 

    • main31.cc : exemplifies an improved matching of 
parton showers to LHEF-style input based on the 
POWHEG approach. 
The main31.cmnd allows to switch between several 
different matching options. It also allows to select input process, 
in this case either for the POWHEG-hvq program applied to top 
pair production Cor10 or for QCD 2+3-jet events. The small 
samples of input events are stored in the powheg-hvq.lhe 
and powheg-dijets.lhe files, respectively. 

      •  
 

    • main32.cc : exemplifies MLM merging, either in the 
ALPGEN variant or in the Madgraph one, and with input events either 
from ALPGEN or from Madgraph, with relevant control cards stored in 
main32.cmnd. See Jet Matching 
for further details. Traditionally the ALPGEN output is 
split into one file with events and another with parameters and cross 
sections (unlike in LHEF). Here a sample of W + 3 jets events 
is stored in main32.unw and the parameters to go with it 
in main32_unw.par. Madgraph events are taken from the 
w+_production_lhc_2.lhe file in this case. 

      •  
 

    • main41.cc : similar to main01, except that 
the event record is output in the HepMC event record format. Requires that 
HepMC is properly linked. Note that the hepmcout41.dat output 
file can become quite big; so no example is included in this 
distribution.
      •  
 

    • main42.cc : a streamlined version for the generation 
of events that are then stored in HepMC format, without any event 
analysis. That is, all physics studies will have to be done afterwards. 
The name of the input "cards file" (e.g. main42.cmnd) 
and output HepMC event file (e.g. hepmcout42.dat) are to 
be provided as command-line arguments. Requires that HepMC is properly 
linked. Note that the HepMC output file can become quite big; so no 
example is included in this distribution.
      •  
 

    • main46.cc : illustrates how to write a ProMC file with 
PYTHIA events. Note that this example cannot (yet) be built by the PYTHIA 
Makefile, but a relevant Makefile is available on the ProMC webpage 
http://atlaswww.hep.anl.gov/asc/promc/.
      •  
 

    • main51.cc : a test of the shape of parton densities, 
as a check prior to using a given PDF set in a generator.  Requires 
that LHAPDF is properly linked.
      •  
 

    • main52.cc : compares the charged multiplicity 
distribution, and a few other minimum-bias physics aspects, between 
default PYTHIA PDF and another one. Requires that LHAPDF is properly 
linked.
      •  
 

    • main53.cc : tests the possibility to do backwards 
evolution from an incoming photon at the hard interaction. Requires 
that you link to a LHAPDF set that includes the photon PDF.
      •  
 

    • main54.cc : compares the internal and LHAPDF 
implementations of the NNPDF 2.3 QCD+QED sets, for results and for 
timing. Requires that LHAPDF is properly linked.
      •  
 

    • main61.cc : a streamlined version for the generation 
of events that are then stored in HepMC format, without any event 
analysis. That is, just like main42.cc, with the difference 
that main61.cc can be used in conjunction with LHAPDF. 
The name of the input "cards file" (e.g. main61.cmnd) 
and output HepMC event file (e.g. hepmcout61.dat) are to 
be provided as command-line arguments. Requires that HepMC and LHAPDF 
are properly linked. Note that the HepMC output file can become quite 
big; so no example is included in this distribution.
      •  
 

    • main62.cc : a further extension of main61.cc, 
where subruns are used to process several consecutive LHEF, 
as in main13.cc, with information stored e.g in 
main62.cmnd. Other comments as for main61.cc.
      •  
 

    • main71.cc : an example how the FastJet jet finding 
package can be linked to allow an analysis of the final state, 
in this case for a study of W + jet production.
      •  
 

    • main72.cc : a comparison of SlowJet and FastJet 
jet finding, showing that they find the same jets if run under 
identical conditions, in this case for QCD jets.
      •  
 

    • main80.cc : do CKKW-L merging with a merging scale 
defined in kT. Input is provided by the main80.cmnd 
file and input LHE files. Very basic and pedagogical setup, suitable 
for tutorials.
      •  
 

    • main81.cc : do CKKW-L merging with a merging scale 
defined in kT. Input is provided by the main81.cmnd 
file and the three data files w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe and w+_production_lhc_2.lhe. 

      •  
 

    • main82.cc : do CKKW-L merging with a user-defined 
merging scale function. Input is provided by the main82.cmnd 
file and the three data files w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe and w+_production_lhc_2.lhe. 

      •  
 

    • main83.cc : as main82.cc but with an 
additional cut on the lowest multiplicity allowed for the reclustered 
state. The same input as for main82.cc can be used. 

      •  
 

    • main84.cc : do CKKW-L merging with output in such a way 
that it can be used in subsequent RIVET analyses. Input is provided by 
the main84.cmnd file and the three data files 
w+_production_lhc_0.lhe, w+_production_lhc_1.lhe 
and w+_production_lhc_2.lhe. 

      •  
 

    • main85.cc : do CKKW-L merging, with HepMC event output. Input 
settings are provided by the main85.cmnd file. This example 
program allows the use of input Les Houches events that are regularised with 
only very minimal cuts, and on which Pythia itself should enforce the more 
restrictive merging scale cut. The example program can be used with the input 
files w_production_tree_0.lhe, 
w_production_tree_1.lhe and w_production_tree_2.lhe. 

      •  
 

    • main86.cc : do unitarised ME+PS (UMEPS) merging, with HepMC 
event output. Input settings are provided by the main86.cmnd 
file. This example program allows the consistent use of input Les Houches 
events that are regularised with only very minimal cuts, similar to 
main85.cc. The example program can be used with the input files 
w_production_tree_0.lhe, w_production_tree_1.lhe 
and w_production_tree_2.lhe. 
The program will produce positively and negatively weighted events. 
See UMEPS Merging for further details. 

      •  
 

    • main87.cc : do NL3 NLO merging, with inclusive 
NLO input, and with HepMC event output. Input settings are provided by 
the main87.cmnd file. This example program allows the consistent 
use of input Les Houches events that are regularised with only very minimal 
cuts, similar to main85.cc. The example program can be 
used with the tree-level input files w_production_tree_0.lhe, 
w_production_tree_1.lhe, w_production_tree_2.lhe and 
the inclusive POWHEG input files w_production_powheg_0.lhe, 
w_production_powheg_1.lhe. 
The program will produce positively and negatively weighted events. 
See NLO Merging (NL3 section) for 
further details. 

      •  
 

    • main88.cc : do unitarised NLO+PS (UNLOPS) merging, with 
inclusive NLO input, and with HepMC event output. Input settings are provided 
by the main88.cmnd file. This example program allows the 
consistent use of input Les Houches events that are regularised with only very 
minimal cuts, similar to main85.cc. The example program can be 
used with the tree-level input files w_production_tree_0.lhe, 
w_production_tree_1.lhe, w_production_tree_2.lhe and 
the inclusive POWHEG input files w_production_powheg_0.lhe, 
w_production_powheg_1.lhe. 
The program will produce positively and negatively weighted events. 
See NLO Merging (UNLOPS section) for further 
details. 

      •  
 

     
 
In addition two main program illustrating the use of ROOT are available 
in the rootexamples subdirectory: 
  

       
 

    • hist.cc : shows how ROOT can be used for histogramming 
in a program that for the rest is structured like a normal PYTHIA run. 

      •  
 

    • tree.cc : shows how PYTHIA events can be stored as 
ROOT trees.
      •  
 

     
 
This subdirectory also contains a special Makefile and related 
documentation. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/Frontpage.xml0000444000175000017500000001541212357055017016302 0ustar  sunsun 
 

    PYTHIA 8
     
 

    Welcome to PYTHIA - The Lund Monte Carlo!
     
 

     
PYTHIA 8 is the successor to PYTHIA 6, rewritten from scratch in C++. 
With the release of PYTHIA 8.1 it now becomes the official "current" 
PYTHIA version, although PYTHIA 6.4 will be supported in  parallel 
with it for some time to come. Specifically, the new version has not 
yet been enough tested and tuned for it to have reached the same level 
of reliability as the older one. This testing will only happen if 
people begin to work with the program, however, which is why we 
encourage a gradual transition to the new version, starting now. 
There are some new physics features in PYTHIA 8.1, that would make 
use of it more attractive, but also some topics still missing, where 
6.4 would have to be used. Further, many obsolete features will not 
be carried over, so for some backwards compatibility studies again 
6.4 would be the choice. 
 

    Documentation
     
 
On these webpages you will find the up-to-date manual for PYTHIA 8.1. 
Use the left-hand index to navigate this documentation of program 
elements, especially of all possible program settings. All parameters 
are provided with sensible default values, however, so you need only 
change those of relevance to your particular study, such as choice of 
beams, processes and phase space cuts. The pages also contain a fairly 
extensive survey of all methods available to the user, e.g. to study 
the produced events. What is lacking on these webpages is an overview, 
on the one hand, and an in-depth physics description, on the other. 
 

     
The overview can be found in the attached PDF file 

    A Brief Introduction 
to PYTHIA 8.1 

    T. Sjöstrand, S. Mrenna and P. Skands, 
Comput. Phys. Comm. 178 (2008) 852 [arXiv:0710.3820]. 

    You are strongly recommended to read this summary when you 
start out to learn how to use PYTHIA 8.1. Note that some details 
have changed since the 8.100 version described there. 
 

     
For the physics description we refer to the complete 

    PYTHIA 6.4 Physics and Manual 

    T. Sjöstrand, S. Mrenna and P. Skands, JHEP05 (2006) 026, 

    which in detail describes the physics (largely) implemented also in 
PYTHIA 8, and also provides a more extensive bibliography than found 
here. 
 

     
When you use PYTHIA 8.1, you should therefore cite both, e.g. like 

    T. Sjöstrand, S. Mrenna and P. Skands, JHEP05 (2006) 026, 
Comput. Phys. Comm. 178 (2008) 852. 
 

     
Furthermore, a separate 

     
PYTHIA 8 Worksheet, 

    also an attached PDF file, offers a practical introduction to 
using the generator. It has been developed for and used at a few 
summer schools, with minor variations, but is also suited for 
self-study. 
 

    Authors
     
 

     
Torbjörn Sjöstrand
     
Department of Astronomy and Theoretical Physics, Lund University, 
Sölvegatan 14A, SE-223 62 Lund, Sweden
     
phone: + 46 - 46 - 222 48 16, e-mail: torbjorn@thep.lu.se 
 

     
Jesper Roy Christiansen
     
Department of Astronomy and Theoretical Physics, Lund University, 
Sölvegatan 14A, SE-223 62 Lund, Sweden
     
e-mail: Jesper.Roy.Christiansen@thep.lu.se 
 

     
Nishita Desai
     
Institut für Theoretische Physik, Universität Heidelberg, 
Philosophenweg 16, D-69120 Heidelberg, Germany
     
phone: +49 - 6221 54 9424, e-mail: Nishita.Desai@cern.ch 
 

     
Philip Ilten
     
Massachusetts Institute of Technology, 
stationed at CERN, CH-1211 Geneva 23, Switzerland
     
e-mail: philten@cern.ch 
 

     
Stephen Mrenna
     
Computing Division, Simulations Group, 
Fermi National Accelerator Laboratory, 
MS 234, Batavia, IL 60510, USA
     
phone: + 1 - 630 - 840 - 2556, e-mail: mrenna@fnal.gov 
 

     
Stefan Prestel
     
Theory Group, DESY, Notkestrasse 85, D-22607 Hamburg, Germany
     
phone: + 49 - 40 - 8998-4250, e-mail: stefan.prestel@thep.lu.se 
 

     
Peter Skands
     
Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland
     
phone: + 41 - 22 - 767 2447, e-mail: peter.skands@cern.ch 
 

    Former authors
     
 

    Stefan Ask, e-mail: ask.stefan@gmail.com 
 

    Richard Corke, e-mail: r.corke@errno.net 
 

    Further contributions
     
 
Makefiles, configure scripts and HepMC interface by Mikhail Kirsanov. 

    Conversion of XML files to PHP ones by Ben Lloyd. 

    Simple Makefile for Win32/NMAKE by Bertrand Bellenot. 

    Extended Higgs sector partly implemented by Marc Montull. 

    Parts of charm and bottom decay tables courtesy DELPHI and 
LHCb collaborations. 

    Tunes and comparisons with data, based on Rivet and Professor, 
by Hendrik Hoeth. 

    Text and code on the use of ROOT in conjunction with PYTHIA 
by Rene Brun, Andreas Morsch and Axel Naumann. 

    Code and data for MRST/MSTW PDFs by Robert Thorne and 
Graeme Watt. 

    Code and data for the CTEQ/CT PDFs by Joey Huston 
and colleagues. 

    Help with implementing new proton PDFs by Tomas Kasemets. 

    Code and data for Pomeron PDFs by H1 collaboration and 
especially Paul Newman. 

    Help with implementing new Pomeron fluxes and PDFs by 
Sparsh Navin. 

    The new Hidden Valley code developed together with Lisa Carloni. 

    Code for a Kaluza-Klein electroweak gauge boson provided by 
Noam Hod and Mark Sutton. 

    Code for equivalent photon flux around an unresolved proton by 
Oystein Alvestad. 

    The MBR diffractive model and central diffraction by 
Robert Ciesielski. 

    2012 branching ratios for most light hadrons, and the tau lepton, 
by Anil Pratap Singh. 

    The pythia8-config script has been contributed by 
Andy Buckley, along with many other helpful suggestions. 

    Code and data for several of the NNPDF2.3 QCD+QED sets provided by 
Juan Rojo and Stefano Carrazza. 

    The fjcore code from FastJet provided by Matteo Cacciari, 
Gavin Salam and Gregory Soyez. 
 

    Note: in several cases modifications have been made to 
the original code, in order to integrate it with PYTHIA. In these cases 
the blame for any mistakes has to rest with the regular authors. 
 

    Licence
     
 
PYTHIA 8 is licensed under the 
GNU General Public Licence 
version 2. 

    Please respect the 
MCnet Guidelines 
for Event Generator Authors and Users. 
 

     
The program and the documentation is 
Copyright © 2014 Torbjörn Sjöstrand 
  
 
 
 
 
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end
%%EOF
pythia8-8.1.86.orig/xmldoc/MadGraph5Processes.xml0000444000175000017500000001273012357055022020010 0ustar  sunsun 
 

    MadGraph 5 Processes
     
 
By far the easiest way to implement new processes into PYTHIA 8 is 
by using the matrix-element generator MadGraph 5. This program has 
an option to output the results of a matrix-element calculation 
as a set of PYTHIA 8 C++ classes (plus further auxiliary code), 
that can then be linked and used as 
semi-internal processes, 
meaning they are handled identically with normal internal ones. 
This way, MadGraph 5 can be used to implement processes from 
any model that can be written in  terms of a Lagrangian. Any 
2 → 1, 2 → 2 and 2 → 3 processes 
can be implemented, the limit being set by the absence of efficient 
phase space generator algorithms for higher multiplicities in 
PYTHIA. Features such as s-channel resonances are 
automatically implemented in the process classes.  Besides the process 
library and necessary model files, also an example main program is 
generated for each set of processes, which can be easily modified to 
perform the desired analyses. 
 

     
In order to create a PYTHIA 8 process library with MadGraph 5, first 
download the MadGraph 5 package from 
 
https://launchpad.net/madgraph5, and untar the package. You can 
then specify the location of your pythia81xx directory 
in the file input/mg5_configuration.txt: 

    pythia8_path = ./pythia81xx 

    The location can be either relative (to the directory 
MadGraph5_v_x_x_x/.) or absolute. 
 

     
For any model that is already implemented in the MadGraph 5 package, 
you can directly use the model. Start the MadGraph 5 interface 
bin/mg5, and do: 

     
import model model_name 
generate your_process_in_mg5_syntax 
add process your_next_process_in_mg5_syntax 
... 
output pythia8 [path_to_pythia81xx_directory] 

     
 

     
For examples of MG5 process syntax, please see 
http://madgraph.phys.ucl.ac.be/EXAMPLES/example_mg5.html 
or type help generate. If you specified the path to the 
pythia81xx directory in the mg5_configuration 
file, you do not need to enter it in the output command. 
 

     
If your preferred model is found on the FeynRules model wiki page, 
http://feynrules.irmp.ucl.ac.be/wiki/ModelDatabaseMainPage, 
download the UFO (Universal FeynRules Output) tar file for the model, 
untar in the models/ directory, and use as above. 
 

     
If you want to implement a new model which has not yet been implemented, 
you can do this either using the Mathematica package FeynRules (see 
 
http://feynrules.irmp.ucl.ac.be/) or directly edit the UFO model 
files of the most similar model in the models/ directory. 
 

     
The resulting output from the output pythia8 command is: 

       

    • A process directory Processes_modelname with the 
model information and the files needed for all processes defined for 
this model, placed in the pythia81xx main directory. 
The model files are Parameters_modelname.h/cc and 
HelAmps_modelname.h/cc, and the process files for each 
process class (with the same mass, spin and color of the initial/final 
state particles) are called Sigma_modelname_processname.h/cc. 
The directory also contains a makefile and a model parameter 
file param_card_modelname.dat.
      •  

    • An example main program in the directory examples/ 
(in the pythia81xx main directory) called 
main_modelname_N.cc and a corresponding makefile 
Makefile_modelname_N. This main program links in the 
process classes in the process directory described above. To run the 
example main program, just go to the examples/ 
directory and run 

      make -f Makefile_modelname_N 

      or run launch directly inside the MadGraph 5 
command line interface.
      •  

     
 

     
Note that in order for PYTHIA 8 to be able to automatically decay any 
new particles, it is necessary to specify the branching ratios of the 
particles in the param_card file, see 
Ska04,Alw07 for details. 
 

     
For further technical details, please see the MadGraph 5 release paper 
Alw11 and the 
semi-internal processes page. 
 

     
Of course, as with MadGraph 4, MadGraph 5 can also output 
files of parton-level events according to the 
LHEF standard, 
that can be read in and processed further by PYTHIA 8. 
The advantage is that then the MadGraph 5 phase space generator 
can be used, which opens up for processes with more than three 
particles in the final state. The disadvantages are that it is less 
easy to mix and match with existing PYTHIA processes, and that one 
needs to regenerate and store large LHEF files for different 
kinematics cuts or parameter values. 
 

     
Please cite the MadGraph 5 release paper Alw11 if you use 
MadGraph 5 to generate process libraries for PYTHIA 8. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/LesHouchesAccord.xml0000444000175000017500000011635312357055021017534 0ustar  sunsun 
 

    Les Houches Accord
     
 
The Les Houches Accord (LHA) for user processes Boo01 is the 
standard way to input parton-level information from a 
matrix-elements-based generator into PYTHIA. The conventions for 
which information should be stored has been defined in a Fortran context, 
as two commonblocks. Here a C++ equivalent is defined, as a single class. 
The most common application is to read input from a Les Houches Event File 
(LHEF) Alw06, but it is also possible to have a runtime 
interface to another program.


     
A "no-beams" extension, currently not part of the standard, has been 
implemented. In this case only one part of a complete event is studied, 
and so no meaningful beam information can be set. The prime example is
to study the decay properties of a resonance, where a parton-level decay
chain is provided as input, and then showers and nadronization should be
added. Another example would be where a given partonic configuration 
would be hadronized, without any previous showers. See further below and 
in the Hadron-Level Standalone 
description.
 

     
The LHAup class is a base class, containing reading and 
printout functions, plus two pure virtual functions, one to set 
initialization information and one to set information on each new event. 
Derived classes have to provide these two virtual functions to do 
the actual work. The existing derived classes are for reading information 
from a Les Houches Event File, from the respective Fortran 
commonblocks, or from PYTHIA 8 itself. 
 

     
You are free to write your own derived classes, using the rules and 
methods to be described below. Normally, pointers to objects of such 
derived classes should be handed in with the 
Pythia::init( LHAup*) 
method. However, with the LHEF format a filename can replace the 
pointer, see further below. 
 

     
Let us now describe the methods at your disposal to do the job. 
 
 
the base class constructor takes the choice of mixing/weighting 
strategy as optional input argument, and calls setStrategy, 
see below. It also reserves some space for processes and particles. 
 
 
 
the destructor does not need to do anything. 
 
 
 
this method only sets the pointer that allows some information 
to be accessed, and is automatically called by 
Pythia::init(...). 
 
 

    Initialization
     
 
The LHAup class stores information equivalent to the 
/HEPRUP/ commonblock, as required to initialize the event 
generation chain. The main difference is that the vector container 
now allows a flexible number of subprocesses to be defined. For the 
rest, names have been modified, since the 6-character-limit does not 
apply, and variables have been regrouped for clarity, but nothing 
fundamental is changed. 
 
 
this pure virtual method has to be implemented in the derived class, 
to set relevant information when called. It should return false if it 
fails to set the info. In the no-beams extension this method need not
do anything, since by default strategy 3 is chosen and the rest is set
vanishing, but the method must exist.
 
 

     
Inside setInit(), such information can be set by the following 
methods: 
 
 
 
sets the properties of the first and second incoming beam, respectively 
(cf. the Fortran IDBMUP(1), EBMUP(i), PDFGUP(i), PDFSUP(i), 
with i 1 or 2). These numbers can be used to tell which PDF 
sets were used when the hard process was generated, while the normal 
PDF Selection is used for the further 
event generation in PYTHIA. 
 
 
 
sets the event weighting and cross section strategy. The default, 
provided in the class constructor, is 3, which is the natural value 
e.g. for an LHEF. 
 
chosen strategy (cf. IDWTUP; see Sjo06 
section 9.9.1 for extensive comments). 
 events come with non-negative weight, given in units 
of pb, with an average that converges towards the cross section of the 
process. PYTHIA is in charge of the event mixing, i.e. for each new 
try decides which process should be generated, and then decides whether 
is should be kept, based on a comparison with xMax. 
Accepted events therefore have unit weight. 
 as option 1, except that cross sections can now be 
negative and events after unweighting have weight +-1. You can use 
Info::weight() 
to find the weight of the current event. A correct event mixing requires 
that a process that can take both signs should be split in two, one limited 
to positive or zero and the other to negative or zero values, with 
xMax chosen appropriately for the two. 
 events come with non-negative weight, in unspecified 
units, but such that xMax can be used to unweight the events 
to unit weight. Again PYTHIA is in charge of the event mixing. 
The total cross section of a process is stored in 
xSec. 
 as option 2, except that cross sections can now be 
negative and events after unweighting have weight +-1. As for option -1 
processes with indeterminate sign should be split in two. 
 events come with unit weight, and are thus accepted 
as is. The total cross section of the process is stored in 
xSec. 
 as option 3, except that events now come with weight 
+-1. Unlike options -1 and -2 processes with indeterminate sign need not be 
split in two, unless you intend to mix with internal PYTHIA processes 
(see below). 
 events come with non-negative weight, given in units 
of pb, with an average that converges towards the cross section of the 
process, like for option 1. No attempt is made to unweight the events, 
however, but all are generated in full, and retain their original weight. 
For consistency with normal PYTHIA units, the weight stored in 
Info::weight() has been converted to mb, however. 
 
 as option 4, except that events now can come 
either with positive or negative weights. 
Note 1: if several processes have already been mixed and 
stored in a common event file, either LHEF or some private format, it 
would be problematical to read back events in a different order. Since it 
is then not feasible to let PYTHIA pick the next process type, strategies 
+-1 and +-2 would not work. Instead strategy 3 would be the recommended 
choice, or -3 if negative-weight events are required. 
Note 2: it is possible to switch on internally implemented 
processes and have PYTHIA mix these with LHA ones according to their relative 
cross sections for strategies +-1, +-2 and 3. It does not work for strategy 
-3 unless the positive and negative sectors of the cross sections are in 
separate subprocesses (as must always be the case for -1 and -2), since 
otherwise the overall mixture of PYTHIA and LHA processes will be off. 
Mixing is not possible for strategies +-4, since the weighting procedure 
is not specified by the standard. (For instance, the intention may be to 
have events biased towards larger pT values in some particular 
functional form.) 
 
 
 
 
sets info on an allowed process (cf. LPRUP, XSECUP, XERRUP, 
XMAXUP). 
Each new call will append one more entry to the list of processes. 
The choice of strategy determines which quantities are mandatory: 
xSec for strategies +-2 and +-3, 
xErr never, and 
xMax for strategies +-1 and +-2. 
 
 
Note: PYTHIA does not make active use of the (optional) 
xErr values, but calculates a statistical cross section 
error based on the spread of event-to-event weights. This should work 
fine for strategy options +-1, but not for the others. Specifically, 
for options +-2 and +-3 the weight spread may well vanish, and anyway 
is likely to be an underestimate of the true error. If the author of the 
LHA input information does provide error information you may use that - 
this information is displayed at initialization. If not, then a relative 
error decreasing like 1/sqrt(n_acc), where n_acc 
is the number of accepted events, should offer a reasonable estimate. 
 
 
update the xSec value of the i'th process 
added with addProcess method (i.e. i runs 
from 0 through sizeProc() - 1, see below). 
 
 
 
update the xErr value of the i'th process 
added with addProcess method. 
 
 
 
update the xMax value of the i'th process 
added with addProcess method. 
 
 
 
set the header key to have value val. 
This is a wrapper function to the 
Info::setHeader function that 
should be used in any classes derived from LHAup. 
 
 

     
Information is handed back by the following methods 
(that normally you would not need to touch): 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
for the beam properties. 
 
 
for the strategy choice. 
 
 
for the number of subprocesses. 
 
 
 
 
 
 
 
 
for process i in the range 0 <= i < 
sizeProc(). 
 
 
 
 
 
the sum of the cross sections and errors (the latter added quadratically). 
Note that cross section errors are only meaningful for strategies +-3. 
 
 
 
prints the above initialization information. This method is 
automatically called from Pythia::init(...), 
so would normally not need to be called directly by the user. 
 
 

     
 
 

    Event input
     
 
The LHAup class also stores information equivalent to the 
/HEPEUP/ commonblock, as required to hand in the next 
parton-level configuration for complete event generation. The main 
difference is that the vector container now allows a flexible number 
of partons to be defined. For the rest, names have been modified, 
since the 6-character-limit does not apply, and variables have been 
regrouped for clarity, but nothing fundamental is changed. 
 

     
The LHA standard is based on Fortran arrays beginning with 
index 1, and mother information is defined accordingly. In order to 
be compatible with this convention, the zeroth line of the C++ particle 
array is kept empty, so that index 1 also here corresponds to the first 
particle. One small incompatibility is that the sizePart() 
method returns the full size of the particle array, including the 
empty zeroth line, and thus is one larger than the true number of 
particles (NUP). 
 
 
this pure virtual method has to be implemented in the derived class, 
to set relevant information when called. For strategy options +-1 
and +-2 the input idProcess value specifies which process 
that should be generated, while idProcess is irrelevant 
for strategies +-3 and +-4. The mRecalculate input alllows 
an optional recalculation of the mass from the four-momentum, see 
LesHouches::mRecalculate below. The method should return 
false if it fails to set the info, i.e. normally that the supply of 
events in a file is exhausted. If so, no event is generated, and 
Pythia::next() returns false. You can then interrogate 
Info::atEndOfFile() 
to confirm that indeed the failure is caused in this method, and decide 
to break out of the event generation loop. 
 

     
Inside a normal setEvent(...) call, information can be set 
by the following methods: 
 
tells which kind of process occurred, with what weight, at what scale, 
and which alpha_EM and alpha_strong were used 
(cf. IDPRUP, XWTGUP, SCALUP, AQEDUP, AQCDUP). This method 
also resets the size of the particle list, and adds the empty zeroth 
line, so it has to be called before the addParticle method below. 
 
 
gives the properties of the next particle handed in (cf. IDUP, ISTUP, 
MOTHUP(1,..), MOTHUP(2,..), ICOLUP(1,..), ICOLUP(2,..),  PUP(J,..), 
VTIMUP, SPINUP; while scale is a new optional property, 
see further below) . 
 
 

     
Information is handed back by the following methods: 
 
process number. 
 
 
. 
Note that the weight stored in Info::weight() as a rule 
is not the same as the above weight(): the method here gives 
the value before unweighting while the one in info gives 
the one after unweighting and thus normally is 1 or -1. Only with strategy 
options +-3 and +-4 would the value in info be the same as 
here, except for a conversion from pb to mb for +-4. 
 
 
 
 
 
 
 
scale and couplings at that scale. 
 
 
 
the size of the particle array, which is one larger than the number 
of particles in the event, since the zeroth entry is kept empty 
(see above). 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
for particle i in the range 
0 <= i < sizePart(). (But again note that 
i = 0 is an empty line, so the true range begins at 1.) 
 
 

     
From the information in the event record it is possible to set 
the flavour and x values of the initiators 
 
 
 

     
This information is returned by the methods 
 
 
 
 
 
 
x values of the two initiators. 
 
 

     
In the LHEF description Alw06 an extension to 
include information on the parton densities of the colliding partons 
is suggested. This optional further information can be set by 
 
which gives the flavours , the x and the Q scale 
(in GeV) at which the parton densities x*f_i(x, Q) have been 
evaluated. The last argument is normally true. 
 
 

     
This information is returned by the methods 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
where the first one tells whether this optional information has been set 
for the current event. (setPdf(...) must be called after the 
setProcess(...) call of the event for this to work.) 
Note that the flavour and x values usually but not always 
agree with those obtained by the same methods without pdf 
in their names, see explanation in the 
Event Information description. 
 
 

     
As a further, currently completely non-standard feature, it is also 
possible to read in the separate scale values of all final particles. 
Currently such information should appear as a line begun by a single 
hashtag character (#) and then sequentially the scale value of all 
particles with status 1. Such scale values could be used e.g. to 
restrict the maximum scale for shower evolutions for each parton 
separately. This information is returned by the method 
double LHAup::scale(int i). When no such information 
has been read from the LHEF, the scale defaults to -1. 
 

     
 
prints the above information for the current event.  In cases where the 
LHAup object is not available to the user, the 
Pythia::LHAeventList(ostream& os = cout) method can 
be used, which is a wrapper for the above. 
 
 
 
skip ahead nSkip events in the Les Houches generation 
sequence, without doing anything further with them. Mainly 
intended for debug purposes, e.g. when an event at a known 
location in a Les Houches Event File is causing problems. 
Will return false if operation fails, specifically if the 
end of an LHEF has been reached. The implementation in the base class 
simply executes setEvent() the requested number of times. 
The derived LHAupLHEF class (see below) only uses the 
setNewEventLHEF(...) part of its setEvent() 
method, and other derived classes could choose other shortcuts. 
 
 

     
The LHA expects the decay of resonances to be included as part of the 
hard process, i.e. if unstable particles are produced in a process then 
their decays are also described. This includes Z^0, W^+-, H^0 
and other short-lived particles in models beyond the Standard Model. 
Should this not be the case then PYTHIA will perform the decays of all 
resonances it knows how to do, in the same way as for internal processes. 
Note that you will be on slippery ground if you then restrict the decay of 
these resonances to specific allowed channels since, if this is not what 
was intended, you will obtain the wrong cross section and potentially the 
wrong mix of different event types. (Since the original intention is 
unknown, the cross section will not be corrected for the fraction of 
open channels, i.e. the procedure used for internal processes is not 
applied in this case.) 
 

     
Even if PYTHIA can select resonance decay modes according to its 
internal tables, there is normally no way for it to know which 
decay angular correlations should exist in the simulated process. 
Therefore almost all decays are isotropic. The exceptions are Higgs and 
top decays, in the decay chains H → WW/ZZ → f fbar f' fbar' 
and t → b W → b f fbar, where the process-independent 
correlations implemented for internal processes are used. If part of 
the decay chain has already been set, however (e.g. H → WW/ZZ 
or t → b W), then decay is still isotropic. 
 

     
There are two settings available for event input. 
 
 
PYTHIA only implements a certain number of incoming beam particles.
Specifically it needs to have PDFs for every composite particle to
be used. Sometimes exotic beam particles are used, e.g. when a 
neutralino is supposed to be the Dark Matter particle and therefore
neutralino pairs can collide and annihilate. Such a particle identity
code, picked by this mode, is mapped onto an incoming tau neutrino 
beam (or antineutrino for the second beam), to bring it to a familiar 
situation. The trick cannot be used for composite particles, nor for 
a pair of different particles. 
 
 
 
handling of the decay time information stored in VTIMUP 
when the Les Houches event record is stored into the PYTHIA 
process one. The reason is that some matrix-element 
generators (like POWHEG) do not set decay times, so that it is up to 
PYTHIA to make that selection. This is particularly important for 
the tau lepton. 
 
 
 
 
 

     
There is also one parameter that can be used to modify the setting 
of event information, if implemented in the derived class. It is 
prompted by an unforeseen choice made in some programs (like CalcHEP) 
of storing the nominal mass of a particle species rather than the 
mass of the current member of that species. This is likely to 
induce energy-momentum nonconservation when the event is further 
processed. 
 
 
Does not have any effect by default, or more generally when it is negative. 
If it is positive then all particles with an input mass above this 
value will have the mass recalculated and reset from the four-momentum, 
m^2 = E^2 - p^2. Obviously such a step is problematic 
numerically for light particles, so it should only be used for the 
programs and particles where it is needed. Thus the value ought to be 
at least 10 GeV, so that only massive particles like W^+-, 
Z^0 and t are affected. 
 
 

    An interface to Les Houches Event Files
     
 
The LHEF standard Alw06 specifies a format where a single file 
packs initialization and event information. This has become the most 
frequently used procedure to process external parton-level events in 
Pythia. Therefore a special 
Pythia::init(fileName) 
initialization option exists, where the LHEF name is provided as input. 
Internally this name is then used to create an instance of the derived 
class LHAupLHEF, which can do the job of reading an LHEF. 


     
The two key compulsory parts of an LHEF is the initialization information
stored in an init block, enclosed by a matching <init>
- </init> pair of lines, and the event input, with each 
event enclosed by a matching <event> - 
</event> pair of lines. In the case of the no-beams 
extension the init block may be empty, but the <init>
and </init> lines must be included for the file parsing
to work as expected. It is also possible to have a non-empty init block, 
with the beams assigned code 0, and optionally a number of specified 
"processes".
 

     
The LHEF reader can also read in and store header blocks. By default 
this option is switched on, but may be controlled through the 
Beams:readLHEFheaders flag if 
necessary. The information can later be read out through the 
Info class for further processing. 
Due to the non-standard nature of the information in these blocks they 
are stored whole, and PYTHIA itself makes no further attempt to process 
their meaning. 
 

     
Because Les Houches Event files tend not to adhere strictly to XML 
conventions, to consistently read in header information, certain 
choices must be made. The primary goal is to make as much information 
available as possible. First, information sitting directly in the 
<header> block is stored under the key "base". Second, the tags 
starting and ending each sub block must be on their own line. Finally, 
the contents of comment blocks, <!-- -->, are still stored. The 
header keys are formed hierarchically from the names of the header 
blocks. This behaviour is illustrated in the following example: 

     
  <header> 
    BaseA 
    <hblock1> 
      1A 
      <hblock11> 
        11A <hblock111> 
        </hblock111> 11B 
      </hblock11> 
      1B 
    </hblock1> 
    <hblock2> 
      2A 
      <!-- 2B --> 
    </hblock2> 
    BaseB 
  </header> 

     
which would lead to the following information being stored in the 
Info class: 

     
  
     Key Value 
     
  
     
    base 
    BaseA
    BaseB    		 
  
     
  
     
    hblock1 
    1A
    1B    		 
  
     
  
     
    hblock1.hblock11 
    11A <hblock111>
    </hblock111> 11B    		 
  
     
  
     
    hblock2 
    2A
    <!-- 2B -->    		 
  
     

     

     

     
Normally the LHEF would be in uncompressed format, and thus human-readable 
if opened in a text editor. A possibility to read gzipped files has 
been added, based on the Boost and zlib libraries, which therefore 
have to be linked appropriately in order for this option to work. 
See the README file in the main directory for details 
on how to do this. 
 

     
An example how to generate events from an LHEF is found in 
main11.cc. Note the use of 
Info::atEndOfFile() to find out when the whole 
LHEF has been processed. 
 

     
To allow the sequential use of several event files the 
Pythia::init(...) method has an optional second argument: 
Pythia::init(fileName, bool skipInit = false). 
If called with this argument true then there will be no 
initialization, except that the existing LHAupLHEF class 
instance will be deleted and replaced by ones pointing to the new file. 
It is assumed (but never checked) that the initialization information is 
identical, and that the new file simply contains further events of 
exactly the same kind as the previous one. An example of this possibility, 
and the option to mix with internal processes, is found in 
main12.cc. A variant, based on input in a command file, 
is given in main13.cc. 
 

     
In C++, real numbers are printed with an 'E' to denote the exponent part, 
e.g. 1.23E+04, and are read in accordingly. Other languages may use other 
letters, e.g. Fortran allows either 'E' or 'D'. A file using 
the latter convention would not be readable by the standard routines. 
In case you have such an "incorrectly formatted" file, a conversion to 
a new corrected file could be done e.g. using sed, as a 
one-line command 

     
  sed -e 's/\([0-9]\.\{0,1\}\)[dD]\([+-]\{0,1\}[0-9]\)/\1E\2/g' old.lhe > new.lhe 

     
This replaces a 'd' or 'D' with an 'E' only when it occurs in the combination 

    
(digit) ('.' or absent) ('d' or 'D') ('+', '-' or absent) (digit) 

    It will work on all parts of the file, also inside a 
<header>...</header> block. For conversion only 
inside the <init>...</init> and 
<event>...</event> blocks, create a file 
convert.sed containing 

     
  /<init>/,/<\/init>/bconv 
  /<event>/,/<\/event>/bconv 
  b 
  :conv 
  s/\([0-9]\.\{0,1\}\)[dD]\([+-]\{0,1\}[0-9]\)/\1E\2/g 

     
and run it with 

     
  sed -f convert.sed old.lhe > new.lhe 

     
 

     
The workhorses of the LHAupLHEF class are three methods 
found in the base class, so as to allow them to be reused in other 
contexts. Specifically, it allows derived classes where one parton-level 
configuration can be reused several times, e.g. in the context of 
matrix-element-to-parton-shower matching (example in preparation). 
Also two small utility routines. 
 
 
read in and set all required initialization information from the 
specified stream. With second argument true it will also read and store 
header information, as described above. Return false if it fails. 
 
 
 
read in event information from the specified stream into a staging area 
where it can be reused by setOldEventLHEF. 
 
 
 
store the event information from the staging area into the normal 
location. Thus a single setNewEventLHEF call can be 
followed by several setOldEventLHEF ones, so as to 
process the same configuration several times. This method currently 
only returns true, i.e. any errors should be caught by the preceding 
setNewEventLHEF call. 
 
 
 
always returns true in the base class, but in LHAupLHEF 
it returns false if the LHEF provided in the constructor is not 
found and opened correctly. 
 
 
 
is used to send header information on to the Info class. 
 
 

     
A few other methods, most of them derived from the base class, 
streamlines file opening and closing, e.g. if several LHE files are 
to be read consecutively, without the need for a complete 
reinitialization. This presupposes that the events are of the same 
kind, only split e.g. to limit file sizes. 
 
 
close current event input file/stream and open a new one, to 
continue reading events of the same kind as before. 
 
 
 
 
 
open and close a file, also gzip files, where an intermediate 
decompression layer is needed. 
 
 
 
close main event file (LHEF) and, if present, separate header file. 
 
  

    A runtime Fortran interface
     
 
The runtime Fortran interface requires linking to an external Fortran 
code. In order to avoid problems with unresolved external references 
when this interface is not used, the code has been put in a separate 
LHAFortran.h file, that is not included in any of the 
other library files. Instead it should be included in the 
user-supplied main program, together with the implementation of two 
methods below that call the Fortran program to do its part of the job. 
 

     
The LHAupFortran class derives from LHAup. 
It reads initialization and event information from the LHA standard 
Fortran commonblocks, assuming these commonblocks behave like two 
extern "C" struct named heprup_ and 
hepeup_. (Note the final underscore, to match how the 
gcc compiler internally names Fortran files.) 
 

     
The instantiation does not require any arguments. 
 

     
The user has to supply implementations of the fillHepRup() 
and fillHepEup() methods, that is to do the actual calling 
of the external Fortran routines that fill the HEPRUP and 
HEPEUP commonblocks. The translation of this information to 
the C++ structure is provided by the existing setInit() and 
setEvent() code. 
 

     
Up to and including version 8.125 the LHAupFortran class 
was used to construct a runtime interface to PYTHIA 6.4. This was 
convenient in the early days of PYTHIA 8 evolution, when this program 
did not yet contain hard-process generation, and the LHEF standard 
did not yet exist. Nowadays it is more of a bother, since a full 
cross-platform support leads to many possible combinations. Therefore 
this support has been removed, but can still be recuperated from 
previous code versions, in a reduced form up to version 8.176. 
 

    Methods for LHEF output
     
 
The main objective of the LHAup class is to feed information 
from an external program into PYTHIA. It can be used to export information 
as well, however. Specifically, there are four routines in the base class 
that can be called to write a Les Houches Event File. These should be 
called in sequence in order to build up the proper file structure. 
 
 
Opens a file with the filename indicated, and writes a header plus a brief 
comment with date and time information. 
 
 
 
Writes initialization information to the file above. Such information should 
already have been set with the methods described in the "Initialization" 
section above. 
 
 
 
Writes event information to the file above. Such information should 
already have been set with the methods described in the "Event input" 
section above. This call should be repeated once for each event to be 
stored. By default the event information is lined up in columns. 
To save space, the alternative verbose = false only 
leaves a single blank between the information fields. 
 
 
 
Writes the closing tag and closes the file. Optionally, if 
updateInit = true, this routine will reopen the file from 
the beginning, rewrite the same header as openLHEF() did, 
and then call initLHEF() again to overwrite the old 
information. This is especially geared towards programs, such as PYTHIA 
itself, where the cross section information is not available at the 
beginning of the run, but only is obtained by Monte Carlo integration 
in parallel with the event generation itself. Then the 
setXSec( i, xSec), setXErr( i, xSec) and 
setXMax( i, xSec) can be used to update the relevant 
information before closeLHEF is called. 
Warning: overwriting the beginning of a file without 
upsetting anything is a delicate operation. It only works when the new 
lines require exactly as much space as the old ones did. Thus, if you add 
another process in between, the file will be corrupted. 
 
 
 
Return the name of the LHE file above.
 
 

    PYTHIA 8 output to an LHEF
     
 
The above methods could be used by any program to write an LHEF. 
For PYTHIA 8 to do this, a derived class already exists, 
LHAupFromPYTHIA8. In order for it to do its job, 
it must gain access to the information produced by PYTHIA, 
specifically the process event record and the 
generic information stored in info. Therefore, if you 
are working with an instance pythia of the 
Pythia class, you have to instantiate 
LHAupFromPYTHIA8 with pointers to the 
process and info objects of 
pythia: 

    LHAupFromPYTHIA8 myLHA(&pythia.process, &pythia.info); 
 

     
The method setInit() should be called to store the 
pythia initialization information in the LHA object, 
and setEvent() to store event information. 
Furthermore, updateSigma() can be used at the end 
of the run to update cross-section information, cf. 
closeLHEF(true) above. An example how the 
generation, translation and writing methods should be ordered is 
found in main20.cc. 
 

     
Currently there are some limitations, that could be overcome if 
necessary. Firstly, you may mix many processes in the same run, 
but the cross-section information stored in info only 
refers to the sum of them all, and therefore they are all classified 
as a common process 9999. Secondly, you should generate your events 
in the CM frame of the collision, since this is the assumed frame of 
stored Les Houches events, and no boosts have been implemented 
for the case that Pythia::process is not in this frame. 
 

     
The LHEF standard is the agreed format to store the particles of a 
hard process, as input to generators, whereas output of final states 
is normally handled using the HepMC 
standard. It is possible to use LHEF also here, however. It requires 
that the above initialization is replaced by 

    LHAupFromPYTHIA8 myLHA(&pythia.event, &pythia.info); 

     i.e. that process is replaced by event. 
In addition, the PartonLevel:all = off command found in 
main20.cc obviously must be removed if one wants to 
obtain complete events. 
  
 
 
 
pythia8-8.1.86.orig/xmldoc/EventRecord.xml0000444000175000017500000005705012357055017016601 0ustar  sunsun 
 

    The Event Record
     
 
A Pythia instance contains two members of the 
Event class. The one called process provides 
a brief summary of the main steps of the hard process, while the 
one called event contains the full history. The 
user would normally interact mainly with the second one, so 
we will exemplify primarily with that one. 
 

     
The Event class to first approximation is a vector of 
Particles, so that it can expand to fit the current 
event size. The index operator is overloaded, so that e.g. 
event[i] corresponds to the i'th particle 
of the object event. Thus event[i].id() 
returns the identity of the i'th particle, and so on. 
Therefore the methods of the 
Particle class 
are at least as essential as those of the Event class 
itself. 
 

     
As used inside PYTHIA, some conventions are imposed on the structure 
of the event record. Entry 0 of the vector<Particle> 
is used to represent the event as a whole, with its total four-momentum 
and invariant mass, but does not form part of the event history. 
Lines 1 and 2 contains the two incoming beams, and only from here on 
history tracing works as could be expected. That way unassigned mother 
and daughter indices can be put 0 without ambiguity. Depending on the 
task at hand, a loop may therefore start at index 1 rather than 0 
without any loss. Specifically, for translation to other event record 
formats such as HepMC Dob01, where the first index is 1, the 
Pythia entry 0 definitely ought to be skipped in order to minimize the 
danger of indexing errors. 
 

     
In the following we will list the methods available. 
Only a few of them have a function to fill in normal user code. 
 

    Basic output methods
     
 
Some methods are available to read out information on the 
current event record: 
 
 
 
 
returns a (const) reference to the i'th particle 
in the event record, which can be used to get (or set) all the 
properties of this particle. 
 
 
 
 
 
 
 
 
returns a reference to the zeroth, i'th or last particle 
in the event record, as an alternative to the methods above. 
 
 
The event size, i.e. the size of the vector<Particle>. 
Thus valid particles, to be accessed by the above indexing operator, 
are stored in the range 0 <= i < size(). See comment 
above about the (ir)relevance of entry 0. 
 
 
 
 
 
 
 
 
 
Provide a listing of the whole event, i.e. of the 
vector<Particle>. The methods with fewer arguments 
call the final one with the respective default values, and are 
non-inlined so they can be used in a debugger. The basic identity 
code, status, mother, daughter, colour, four-momentum and mass data 
are always given, but the methods can also be called with a few 
optional arguments for further information: 
 optionally give a 
second line for each particle, with the production scale (in GeV), 
the particle polarization (dimensionless), the production vertex 
(in mm or mm/c) and the invariant lifetime (also in mm/c). 
 
 
gives a list of all daughters and mothers of a particle, as defined by 
the motherList(i) and daughterList(i) methods 
described below. It is mainly intended for debug purposes. 
 
 a reference to the ostream 
object to which the event listing will be directed. 
 
 
 
 

     
Each Particle has two mother and two daughter indices. 
These may be used to encode zero, one, two or more mothers/daughters, 
depending on the combination of values and status code, according to 
well-defined rules. The 
two methods below can do this job easier for you. 
 
 
returns a vector of all the mother indices of the particle at index 
i. This list is empty for entries 0, 1 and 2, 
i.e. the "system" in line 0 is not counted as part of the history. 
Normally the list contains one or two mothers, but it can also be more, 
e.g. in string fragmentation the whole fragmenting system is counted 
as mothers to the primary hadrons. Many particles may have the same 
motherList. Mothers are listed in ascending order. 
 
 
 
returns a vector of all the daughter indices of the particle at index 
i. This list is empty for a particle that did 
not decay (or, if the evolution is stopped early enough, a parton 
that did not branch), while otherwise it can contain a list of 
varying length, from one to many. For the two incoming beam particles, 
all shower initiators and beam remnants are counted as daughters, 
with the one in slot 0 being the one leading up to the hardest 
interaction. The "system" in line 0 does not have any daughters, 
i.e. is not counted as part of the history. Many partons may have the 
same daughterList. Daughters are listed in ascending order. 
 
 
 
returns the status code according to the HepMC conventions agreed in 
February 2009. This convention does not preserve the full information 
provided by the internal PYTHIA status code, as obtained by 
Particle::status(), but comes reasonably close. 
The allowed output values are: 

       

    • 0 : an empty entry, with no meaningful information and therefore 
to be skipped unconditionally (should not occur in PYTHIA);
      •  

    • 1 : a final-state particle, i.e. a particle that is not decayed 
further by the generator (may also include unstable particles that 
are to be decayed later, as part of the detector simulation);
      •  

    • 2 : a decayed Standard Model hadron or tau or mu lepton, excepting 
virtual intermediate states thereof (i.e. the particle must undergo 
a normal decay, not e.g. a shower branching);
      •  

    • 3 : a documentation entry (not used in PYTHIA);
      •  

    • 4 : an incoming beam particle;
      •  

    • 11 - 200 : an intermediate (decayed/branched/...) particle that does 
not fulfill the criteria of status code 2, with a generator-dependent 
classification of its nature; in PYTHIA the absolute value of the normal 
status code is used.
      •  

     
 
 

    Further output methods
     
 
The above methods are the main ones that a normal user would make 
frequent use of. There are some further methods that also could come 
in handy, in the exploration of the history of an event, but where 
the outcome is not always obvious if one is not familiar with the 
detailed structure of an event record. 
 
 
 
 
are used to trace carbon copies of the particle at index i up 
to its top mother or down to its bottom daughter. If there are no such 
carbon copies, i itself will be returned. A carbon copy is 
when the "same" particle appears several times in the event record, but 
with changed momentum owing to recoil effects. 
 
 
 
 
 
also trace top mother and bottom daughter, but do not require carbon 
copies, only that one can find an unbroken chain, of mothers or daughters, 
with the same flavour id code. When it encounters ambiguities, 
say a g → g g branching or a u u → u u 
hard scattering, it will stop the tracing and return the current position. 
It can be confused by nontrivial flavour changes, e.g. a hard process 
u d → d u by W^+- exchange will give the wrong 
answer. These methods therefore are of limited use for common particles, 
in particular for the gluon, but should work well for "rare" particles. 
 
 
 
returns a vector of all the sister indices of the particle at index 
i, i.e. all the daughters of the first mother, except the 
particle itself. 
 
 
 
returns a vector of all the sister indices of the particle at index 
i, tracking up and back down through carbon copies 
if required. That is, the particle is first traced up with 
iTopCopy() before its mother is found, and then all 
the particles in the daughterList() of this mother are 
traced down with iBotCopy(), omitting the original 
particle itself. Any non-final particles are removed from the list. 
Should this make the list empty the search criterion is widened so that 
all final daughters are allowed, not only carbon-copy ones. That is, 
starting from the top mother, all its daughters are found, except for 
the traced-up one, and then all their daughters, and so on. This can 
produce quite extensive and rather useless output, notably when tracing 
parton showers. A second argument false inhibits the second 
step, and increases the risk that an empty list is returned. A typical 
example of this is for ISR cascades, e.g. e → e gamma where 
the photon may not have any obvious sister in the final state if the 
bottom copy of the photon is an electron that annihilates and thus is 
not part of the final state. 
 
 
 
traces the particle i upwards through mother, grandmother, 
and so on, until either iAncestor is found or the top of 
the record is reached. Normally one unique mother is required, 
as is the case e.g. in decay chains or in parton showers, so that 
e.g. the tracing through a hard scattering would not work. For 
hadronization, first-rank hadrons are identified with the respective 
string endpoint quark, which may be useful e.g. for b physics, 
while higher-rank hadrons give false. Currently also 
ministrings that collapsed to one single hadron and junction topologies 
give false. 
 
 

     
One data member in an Event object is used to keep track 
of the largest col() or acol() colour tag set 
so far, so that new ones do not clash. 
 
 
This sets the initial colour tag value used, so that the first one 
assigned is startColTag + 1, etc. The Les Houches accord 
Boo01 suggests this number to be 500, but 100 works equally 
well. 
 
 
 
forces the current colour tag value to be the larger of the input 
colTag and the above Event:startColTag 
values. 
 
 
 
returns the current maximum colour tag. 
 
 
 
increases the current maximum colour tag by one and returns this 
new value. This method is used whenever a new colour tag is needed. 
 
 

     
Many event properties are accessible via the Info class, 
see here. Since they are used 
directly in the event generation, a few are stored directly in the 
Event class, however. 
 
 
 
 
set or get the scale (in GeV) of the hardest process in the event. 
Matches the function of the scale variable in the 
Les Houches Accord. 
 
 
 
 
 
set or get the scale (in GeV) of a second hard process in the event, 
in those cases where such a one 
has been requested. 
 
 

    Constructors and modifications of the event record
     
  
Although you would not normally need to create your own 
Event instance, there may be times where that 
could be convenient. The typical example would be if you want to 
create a new event record that is the sum of a few different ones, 
e.g. if you want to simulate pileup events. There may also be cases 
where you want to add one or a few particles to an existing event 
record. 
 
 
creates an empty event record, but with a reserved size 
capacity for the Particle vector. 
 
 
 
copies the input event record. 
 
 
 
appends an event to an existing one. For the appended particles 
mother, daughter and colour tags are shifted to make a consistent 
record. The zeroth particle of the appended event is not copied, 
but the zeroth particle of the combined event is updated to the 
full energy-momentum content. 
 
 
 
initializes colour, the pointer to the particle database, and the 
header specification used for the event listing. We remind that a 
Pythia object contains two event records 
process and event. Thus one may e.g. 
call either  pythia.process.list() or 
pythia.event.list(). To distinguish those two rapidly 
at visual inspection, the "Pythia Event Listing" header 
is printed out differently, in one case adding 
"(hard process)" and in the other 
"(complete event)". When += is used to 
append an event, the modified event is printed with 
"(combination of several events)" as a reminder. 
 
 
 
empties event record. Specifically the Particle vector 
size is reset to zero. 
 
 
 
empties the event record, as clear() above, but then 
fills the zero entry of the Particle vector with the 
pseudoparticle used to represent the event as a whole. At this point 
the pseudoparticle is not assigned any momentum or mass. 
 
 
 
removes the last n particle entries; must be a positive 
number. History (and other) information of remaning entries is 
untouched, and so may be internally inconsistent. 
 
 
 
removes particles in the range between indices iFirst 
and iLast, including the endpoints. History (and other) 
information of remaning entries is untouched, and so may be internally 
inconsistent. 
 
 
 
removes the decay chain of the particle i and thus restores 
it to its undecayed state. It is only intended for "normal" particle 
decay chains, and will return false in other cases, notably if 
the particle is coloured. The procedure would not work if non-local 
momentum shifts have been performed, such as with a Bose-Einstein 
shift procedure (or for a dipole shower recoiler). The history 
information of the remaining particles, many of which may have new 
indices, is updated to be internally consistent. 
 
 
 
appends a particle to the bottom of the event record and 
returns the index of this position. 
 
 
 
appends a particle to the bottom of the event record and 
returns the index of this position; 
see here for the meaning 
of the various particle properties. 
 
 
 
appends a particle to the bottom of the event record and 
returns the index of this position, as above but with four-momentum 
as a Vec4. 
 
 
 
 
 
appends a particle to the bottom of the event record and 
returns the index of this position, as above but with vanishing 
(i.e. zero) mother and daughter indices. 
 
 
 
send in the this pointer of the current Event 
itself to the particle iSet, by default the most recently 
appended particle. Also generates a pointer to the 
ParticleDataEntry object of the identity code of the particle. 
 
 
 
copies the existing particle in entry iCopy to the 
bottom of the event record and returns the index of this position. 
By default, i.e. with newStatus = 0, everything is 
copied precisely as it is, which means that history information 
has to be modified further by hand to make sense. With a positive 
newStatus, the new copy is set up to be the daughter of 
the old, with status code newStatus, while the status 
code of iCopy is negated. With a negative 
newStatus, the new copy is instead set up to be the 
mother of iCopy. An attempt to copy an out-of-range 
entry will return -1. 
 
 
 
each particle in the event record has a pointer to the event itself 
and another to the particle species it belongs to. The latter pointer 
is automatically set/changed whenever the particle identity is 
set/changed by one of the normal methods. Of course the pointer values 
are specific to the memory locations of the current run, and so it has 
no sense to save them if events are written to file. Should you use some 
persistency scheme that bypasses the normal methods when the event is 
read back in, you can use restorePtrs() afterwards to set 
these pointers appropriately. 
 
 

     
A few methods exist to rotate and boost events. These derive from the 
Vec4 methods, and affect both the 
momentum and the vertex (position) components of all particles. 
 
 
rotate all particles in the event by this polar and azimuthal angle 
(expressed in radians). 
 
 
 
 
 
 
 
boost all particles in the event by this three-vector. 
Optionally you may provide the gamma value as a fourth argument, 
which may help avoid roundoff errors for big boosts. You may alternatively 
supply a Vec4 four-vector, in which case the boost vector 
becomes beta = p/E. 
 
 
 
rotate and boost by the combined action encoded in the 
RotBstMatrix M. 
 
 

    The Junction Class
     
 
The event record also contains a vector of junctions, which often 
is empty or else contains only a very few per event. Methods are 
available to add further junctions or query the current junction list. 
This is only for the expert user, however, and is not discussed 
further here, but only the main points. 
 

     
A junction stores the properties associated with a baryon number that 
is fully resolved, i.e. where three different colour indices are 
involved. There are two main applications, 

       

    1. baryon beams, where at least two valence quarks are kicked out, 
and so the motion of the baryon number is nontrivial;
      2.  

    2. baryon-number violating processes, e.g. in SUSY with broken 
R-parity.
      3.  

     
Information on junctions is set, partly in the process generation, 
partly in the beam remnants machinery, and used by the fragmentation 
routines, but the normal user does not have to know the details. 
 

     
For each junction, information is stored on the kind of junction, and 
on the three (anti)colour indices that are involved in the junction. 
The possibilities foreseen are: 

       

    • kind = 1 : incoming colourless particle to three 
outgoing colours (e.g. baryon beam remnant or 
neutralino → q q q);
      •  

    • kind = 2 : incoming colourless particle to three 
outgoing anticolours;
      •  

    • kind = 3 : one incoming anticolour (stored first) 
and two outgoing  colours (e.g. antisquark decaying to two quarks, or 
  gluino decay to three quarks);
      •  

    • kind = 4 : one incoming colour (stored first) and two 
outgoing anticolours (e.g. squark decaying to two antiquarks, or 
  gluino decaying to three antiquarks);
      •  

    • kind = 5 : two incoming anticolours (stored first) 
and one outgoing colour (e.g. resonant squark production through RPV);
      •  

    • kind = 6 : two incoming colours (stored first) 
and one outgoing anticolour (e.g. resonant antisquark production 
  through RPV); 

      •  

     
The odd (even) kind codes corresponds to a +1 (-1) change in 
baryon number across the junction. 
 

     
The kind and colour information in the list of junctions can be set 
or read with methods of the Event class, but are not of 
common interest and so not described here. 
 

     
A listing of current junctions can be obtained with the 
listJunctions() method. 
  

    Subsystems
     
 
Separate from the event record as such, but closely tied to it is the 
PartonSystems class, 
which mainly stores the parton indices of incoming and outgoing partons, 
classified by collision subsystem. Such information is needed to 
interleave multiparton interactions, initial-state showers and final-state 
showers, and append beam remnants. It could also be used in other places. 
It is intended to be accessed only by experts, such as implementors of 
new showering models. 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/piN-SAID-WI08.dat0000444000175000017500000103205212357055025016255 0ustar  sunsun# Pion-nucleon partial-wave data, GWU SAID WI08 solution
# GWU SAID analyses:
#  FP84 - Phys. Rev. D32 1085 (1985)
#  SP06 - Phys. Rev. C74 045205 (2006)
#  WI08 - http://gwdac.phys.gwu.edu/analysis/pin_analysis.html
# Notation for column headers is J,2I,2S
# Entries in each column are Treal and Tim

set eType   Tlab
set eUnit   MeV
set input   Tr,Ti

# Isospin = 1/2
Tlab      0,1,1           1,1,1           1,1,3           2,1,3           2,1,5           
2.50       0.028  0.001    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
7.50       0.049  0.002   -0.001  0.000   -0.001  0.000    0.000  0.000    0.000  0.000
12.50      0.062  0.004   -0.003  0.000   -0.001  0.000    0.000  0.000    0.000  0.000
17.50      0.073  0.005   -0.004  0.000   -0.002  0.000    0.000  0.000    0.000  0.000
22.50      0.082  0.007   -0.006  0.000   -0.003  0.000    0.000  0.000    0.000  0.000
27.50      0.090  0.008   -0.007  0.000   -0.004  0.000    0.000  0.000    0.000  0.000
32.50      0.097  0.010   -0.009  0.000   -0.005  0.000    0.000  0.000    0.000  0.000
37.50      0.103  0.011   -0.010  0.000   -0.006  0.000    0.000  0.000    0.001  0.000
42.50      0.109  0.012   -0.012  0.000   -0.007  0.000    0.000  0.000    0.001  0.000
47.50      0.114  0.013   -0.013  0.000   -0.008  0.000    0.001  0.000    0.001  0.000
52.50      0.119  0.014   -0.014  0.000   -0.009  0.000    0.001  0.000    0.001  0.000
57.50      0.123  0.015   -0.015  0.000   -0.010  0.000    0.001  0.000    0.001  0.000
62.50      0.127  0.017   -0.016  0.000   -0.011  0.000    0.001  0.000    0.002  0.000
67.50      0.131  0.018   -0.017  0.000   -0.012  0.000    0.002  0.000    0.002  0.000
72.50      0.135  0.018   -0.017  0.000   -0.013  0.000    0.002  0.000    0.002  0.000
77.50      0.138  0.019   -0.018  0.000   -0.015  0.000    0.002  0.000    0.003  0.000
82.50      0.141  0.020   -0.018  0.000   -0.016  0.000    0.003  0.000    0.003  0.000
87.50      0.144  0.021   -0.018  0.000   -0.017  0.000    0.003  0.000    0.004  0.000
92.50      0.146  0.022   -0.017  0.000   -0.018  0.000    0.004  0.000    0.004  0.000
97.50      0.149  0.023   -0.017  0.000   -0.020  0.000    0.004  0.000    0.004  0.000
102.50     0.151  0.023   -0.016  0.000   -0.021  0.000    0.005  0.000    0.005  0.000
107.50     0.153  0.024   -0.015  0.000   -0.022  0.000    0.005  0.000    0.005  0.000
112.50     0.155  0.025   -0.014  0.000   -0.023  0.001    0.006  0.000    0.006  0.000
117.50     0.158  0.025   -0.013  0.000   -0.025  0.001    0.007  0.000    0.006  0.000
122.50     0.159  0.026   -0.011  0.000   -0.026  0.001    0.007  0.000    0.007  0.000
127.50     0.161  0.027   -0.009  0.000   -0.027  0.001    0.008  0.000    0.008  0.000
132.50     0.163  0.027   -0.007  0.000   -0.028  0.001    0.009  0.000    0.008  0.000
137.50     0.165  0.028   -0.004  0.000   -0.030  0.001    0.010  0.000    0.009  0.000
142.50     0.167  0.029   -0.002  0.000   -0.031  0.001    0.011  0.000    0.009  0.000
147.50     0.168  0.029    0.001  0.000   -0.032  0.001    0.012  0.000    0.010  0.000
152.50     0.170  0.030    0.005  0.000   -0.033  0.001    0.013  0.000    0.011  0.000
157.50     0.171  0.030    0.008  0.000   -0.035  0.001    0.014  0.000    0.011  0.000
162.50     0.173  0.031    0.012  0.000   -0.036  0.001    0.015  0.000    0.012  0.000
167.50     0.174  0.031    0.017  0.000   -0.037  0.001    0.016  0.000    0.012  0.000
172.50     0.176  0.032    0.021  0.001   -0.038  0.001    0.018  0.000    0.013  0.000
177.50     0.177  0.032    0.026  0.001   -0.039  0.002    0.019  0.000    0.014  0.000
182.50     0.178  0.033    0.031  0.001   -0.041  0.002    0.021  0.001    0.014  0.000
187.50     0.180  0.034    0.037  0.002   -0.042  0.002    0.022  0.001    0.015  0.000
192.50     0.181  0.034    0.043  0.002   -0.043  0.002    0.024  0.001    0.016  0.000
197.50     0.182  0.035    0.049  0.003   -0.044  0.002    0.025  0.001    0.016  0.000
202.50     0.183  0.035    0.056  0.004   -0.045  0.002    0.027  0.001    0.017  0.000
207.50     0.185  0.036    0.063  0.005   -0.046  0.002    0.029  0.002    0.018  0.000
212.50     0.186  0.036    0.071  0.006   -0.048  0.002    0.031  0.002    0.019  0.000
217.50     0.187  0.037    0.078  0.008   -0.049  0.002    0.032  0.002    0.019  0.000
222.50     0.188  0.038    0.087  0.010   -0.050  0.003    0.034  0.002    0.020  0.000
227.50     0.189  0.038    0.095  0.012   -0.051  0.003    0.036  0.003    0.021  0.000
232.50     0.191  0.039    0.104  0.014   -0.052  0.003    0.039  0.003    0.022  0.000
237.50     0.192  0.039    0.114  0.017   -0.053  0.003    0.041  0.003    0.022  0.001
242.50     0.193  0.040    0.123  0.020   -0.054  0.003    0.043  0.004    0.023  0.001
247.50     0.194  0.040    0.134  0.024   -0.055  0.003    0.045  0.004    0.024  0.001
252.50     0.195  0.041    0.144  0.028   -0.056  0.003    0.048  0.005    0.025  0.001
257.50     0.197  0.042    0.155  0.032   -0.057  0.003    0.050  0.005    0.025  0.001
262.50     0.198  0.042    0.166  0.037   -0.058  0.004    0.053  0.006    0.026  0.001
267.50     0.199  0.043    0.178  0.043   -0.059  0.004    0.055  0.006    0.027  0.001
272.50     0.201  0.044    0.189  0.050   -0.060  0.004    0.058  0.007    0.028  0.001
277.50     0.202  0.044    0.201  0.057   -0.061  0.004    0.061  0.007    0.028  0.001
282.50     0.203  0.045    0.213  0.065   -0.062  0.004    0.063  0.008    0.029  0.001
287.50     0.205  0.046    0.226  0.073   -0.063  0.004    0.066  0.009    0.030  0.001
292.50     0.206  0.047    0.238  0.083   -0.064  0.004    0.069  0.010    0.031  0.001
297.50     0.207  0.048    0.250  0.094   -0.065  0.004    0.073  0.010    0.032  0.001
302.50     0.209  0.048    0.263  0.105   -0.066  0.005    0.076  0.011    0.033  0.001
307.50     0.210  0.049    0.275  0.118   -0.066  0.005    0.079  0.012    0.033  0.001
312.50     0.212  0.050    0.286  0.132   -0.067  0.005    0.082  0.013    0.034  0.001
317.50     0.214  0.051    0.297  0.146   -0.068  0.005    0.086  0.015    0.035  0.001
322.50     0.215  0.052    0.308  0.162   -0.069  0.005    0.090  0.016    0.036  0.002
327.50     0.217  0.053    0.318  0.179   -0.070  0.005    0.093  0.017    0.037  0.002
332.50     0.219  0.054    0.327  0.197   -0.071  0.005    0.097  0.019    0.038  0.002
337.50     0.220  0.055    0.335  0.215   -0.071  0.006    0.101  0.020    0.039  0.002
342.50     0.222  0.056    0.342  0.235   -0.072  0.006    0.105  0.022    0.040  0.002
347.50     0.224  0.058    0.348  0.255   -0.073  0.006    0.109  0.023    0.040  0.002
352.50     0.226  0.059    0.352  0.275   -0.073  0.006    0.113  0.025    0.041  0.002
357.50     0.228  0.060    0.355  0.296   -0.074  0.006    0.118  0.027    0.042  0.002
362.50     0.230  0.062    0.356  0.318   -0.075  0.006    0.122  0.029    0.043  0.002
367.50     0.232  0.063    0.356  0.339   -0.075  0.007    0.127  0.032    0.044  0.003
372.50     0.235  0.065    0.355  0.360   -0.076  0.007    0.131  0.034    0.045  0.003
377.50     0.237  0.066    0.351  0.381   -0.077  0.007    0.136  0.037    0.046  0.003
382.50     0.239  0.068    0.347  0.401   -0.077  0.007    0.141  0.040    0.047  0.003
387.50     0.242  0.070    0.341  0.421   -0.078  0.007    0.146  0.043    0.048  0.003
392.50     0.244  0.072    0.334  0.439   -0.078  0.007    0.152  0.046    0.049  0.003
397.50     0.247  0.074    0.325  0.457   -0.079  0.007    0.157  0.050    0.051  0.004
402.50     0.250  0.076    0.316  0.474   -0.079  0.008    0.162  0.053    0.052  0.004
407.50     0.253  0.078    0.306  0.489   -0.080  0.008    0.168  0.057    0.053  0.004
412.50     0.256  0.080    0.296  0.504   -0.080  0.008    0.174  0.062    0.054  0.004
417.50     0.259  0.082    0.284  0.517   -0.081  0.008    0.180  0.066    0.055  0.004
422.50     0.262  0.085    0.273  0.529   -0.081  0.008    0.186  0.071    0.056  0.005
427.50     0.265  0.088    0.261  0.540   -0.081  0.008    0.192  0.076    0.057  0.005
432.50     0.268  0.091    0.249  0.550   -0.082  0.009    0.198  0.082    0.059  0.005
437.50     0.272  0.094    0.237  0.559   -0.082  0.009    0.204  0.088    0.060  0.005
442.50     0.276  0.097    0.225  0.567   -0.082  0.009    0.211  0.095    0.061  0.006
447.50     0.279  0.100    0.213  0.574   -0.083  0.009    0.217  0.102    0.062  0.006
452.50     0.283  0.104    0.202  0.580   -0.083  0.009    0.224  0.109    0.064  0.006
457.50     0.287  0.108    0.191  0.585   -0.083  0.009    0.231  0.117    0.065  0.007
462.50     0.292  0.112    0.180  0.590   -0.083  0.010    0.237  0.126    0.066  0.007
467.50     0.296  0.116    0.169  0.593   -0.083  0.010    0.244  0.135    0.068  0.007
472.50     0.301  0.121    0.159  0.596   -0.083  0.010    0.251  0.145    0.069  0.008
477.50     0.305  0.126    0.149  0.599   -0.084  0.010    0.258  0.156    0.071  0.008
482.50     0.310  0.131    0.139  0.601   -0.084  0.010    0.264  0.168    0.072  0.009
487.50     0.315  0.137    0.130  0.603   -0.084  0.011    0.270  0.180    0.074  0.009
492.50     0.321  0.143    0.121  0.604   -0.084  0.011    0.276  0.194    0.075  0.010
497.50     0.326  0.149    0.112  0.605   -0.084  0.011    0.282  0.208    0.077  0.010
502.50     0.332  0.157    0.104  0.606   -0.084  0.011    0.287  0.224    0.079  0.011
507.50     0.338  0.165    0.097  0.606   -0.083  0.012    0.292  0.240    0.080  0.011
512.50     0.345  0.173    0.089  0.606   -0.083  0.012    0.296  0.258    0.082  0.012
517.50     0.351  0.183    0.082  0.606   -0.083  0.012    0.299  0.277    0.084  0.013
522.50     0.358  0.193    0.075  0.605   -0.083  0.012    0.301  0.297    0.086  0.013
527.50     0.366  0.205    0.069  0.605   -0.083  0.013    0.302  0.318    0.088  0.014
532.50     0.373  0.218    0.063  0.604   -0.082  0.013    0.301  0.341    0.089  0.015
537.50     0.381  0.233    0.057  0.603   -0.082  0.013    0.299  0.364    0.091  0.016
542.50     0.390  0.251    0.052  0.602   -0.082  0.014    0.294  0.389    0.093  0.017
547.50     0.398  0.272    0.047  0.601   -0.081  0.014    0.287  0.414    0.095  0.018
552.50     0.407  0.299    0.042  0.600   -0.081  0.014    0.278  0.440    0.098  0.018
557.50     0.416  0.340    0.037  0.599   -0.081  0.015    0.266  0.466    0.100  0.020
562.50     0.381  0.385    0.032  0.597   -0.080  0.015    0.251  0.492    0.102  0.021
567.50     0.357  0.402    0.028  0.596   -0.080  0.015    0.232  0.517    0.104  0.022
572.50     0.334  0.417    0.024  0.595   -0.079  0.016    0.211  0.541    0.107  0.023
577.50     0.313  0.430    0.020  0.593   -0.078  0.016    0.186  0.564    0.109  0.024
582.50     0.290  0.441    0.017  0.592   -0.078  0.017    0.158  0.584    0.111  0.026
587.50     0.268  0.448    0.013  0.590   -0.077  0.017    0.128  0.602    0.114  0.027
592.50     0.246  0.453    0.010  0.589   -0.077  0.018    0.095  0.616    0.116  0.029
597.50     0.225  0.455    0.007  0.587   -0.076  0.018    0.060  0.626    0.119  0.030
602.50     0.205  0.454    0.004  0.585   -0.075  0.019    0.024  0.632    0.122  0.032
607.50     0.186  0.452    0.001  0.584   -0.074  0.020   -0.013  0.634    0.125  0.034
612.50     0.169  0.447   -0.002  0.582   -0.073  0.020   -0.049  0.631    0.127  0.036
617.50     0.154  0.441   -0.004  0.581   -0.073  0.021   -0.084  0.624    0.130  0.038
622.50     0.140  0.434   -0.006  0.579   -0.072  0.022   -0.117  0.614    0.133  0.040
627.50     0.128  0.427   -0.009  0.577   -0.071  0.022   -0.148  0.600    0.136  0.043
632.50     0.118  0.418   -0.011  0.576   -0.070  0.023   -0.177  0.584    0.140  0.045
637.50     0.110  0.410   -0.013  0.574   -0.069  0.024   -0.203  0.565    0.143  0.048
642.50     0.103  0.401   -0.015  0.573   -0.068  0.025   -0.226  0.544    0.146  0.051
647.50     0.098  0.392   -0.017  0.571   -0.067  0.026   -0.246  0.522    0.149  0.054
652.50     0.094  0.384   -0.018  0.570   -0.066  0.027   -0.263  0.499    0.153  0.057
657.50     0.091  0.376   -0.020  0.568   -0.064  0.028   -0.277  0.476    0.156  0.060
662.50     0.090  0.368   -0.022  0.566   -0.063  0.029   -0.288  0.453    0.159  0.064
667.50     0.089  0.361   -0.023  0.565   -0.062  0.030   -0.297  0.430    0.163  0.068
672.50     0.089  0.354   -0.024  0.563   -0.061  0.031   -0.303  0.408    0.166  0.072
677.50     0.090  0.348   -0.026  0.562   -0.060  0.032   -0.308  0.387    0.170  0.077
682.50     0.092  0.342   -0.027  0.560   -0.058  0.034   -0.311  0.366    0.174  0.081
687.50     0.095  0.337   -0.028  0.559   -0.057  0.035   -0.313  0.346    0.177  0.086
692.50     0.098  0.332   -0.029  0.557   -0.056  0.036   -0.313  0.328    0.181  0.092
697.50     0.102  0.328   -0.030  0.556   -0.055  0.038   -0.312  0.310    0.184  0.097
702.50     0.106  0.324   -0.031  0.554   -0.053  0.039   -0.310  0.293    0.188  0.103
707.50     0.111  0.320   -0.032  0.553   -0.052  0.041   -0.307  0.278    0.191  0.110
712.50     0.117  0.318   -0.033  0.552   -0.051  0.043   -0.304  0.263    0.194  0.117
717.50     0.123  0.316   -0.034  0.550   -0.050  0.045   -0.300  0.249    0.198  0.124
722.50     0.130  0.314   -0.034  0.549   -0.048  0.046   -0.295  0.236    0.200  0.131
727.50     0.138  0.313   -0.035  0.547   -0.047  0.048   -0.290  0.224    0.203  0.140
732.50     0.146  0.313   -0.036  0.546   -0.046  0.050   -0.285  0.212    0.206  0.148
737.50     0.155  0.313   -0.036  0.545   -0.045  0.052   -0.280  0.202    0.208  0.157
742.50     0.164  0.315   -0.037  0.543   -0.043  0.054   -0.274  0.192    0.210  0.167
747.50     0.174  0.317   -0.037  0.542   -0.042  0.056   -0.269  0.183    0.211  0.177
752.50     0.184  0.320   -0.038  0.541   -0.041  0.059   -0.263  0.174    0.212  0.187
757.50     0.196  0.325   -0.038  0.539   -0.040  0.061   -0.257  0.166    0.213  0.198
762.50     0.207  0.331   -0.038  0.538   -0.039  0.063   -0.251  0.159    0.213  0.209
767.50     0.219  0.338   -0.039  0.537   -0.038  0.066   -0.245  0.152    0.212  0.221
772.50     0.231  0.348   -0.039  0.535   -0.037  0.068   -0.239  0.145    0.210  0.233
777.50     0.244  0.359   -0.039  0.534   -0.036  0.071   -0.233  0.139    0.208  0.246
782.50     0.256  0.372   -0.039  0.533   -0.035  0.074   -0.227  0.134    0.204  0.258
787.50     0.267  0.388   -0.040  0.531   -0.034  0.076   -0.221  0.128    0.200  0.271
792.50     0.278  0.406   -0.040  0.530   -0.033  0.079   -0.216  0.124    0.195  0.284
797.50     0.287  0.426   -0.040  0.529   -0.033  0.082   -0.210  0.119    0.188  0.297
802.50     0.294  0.448   -0.040  0.528   -0.032  0.085   -0.204  0.115    0.181  0.309
807.50     0.298  0.472   -0.040  0.527   -0.031  0.087   -0.199  0.111    0.172  0.321
812.50     0.300  0.498   -0.040  0.525   -0.031  0.090   -0.193  0.107    0.163  0.333
817.50     0.299  0.524   -0.040  0.524   -0.031  0.093   -0.188  0.104    0.152  0.345
822.50     0.294  0.551   -0.040  0.523   -0.030  0.096   -0.183  0.101    0.141  0.355
827.50     0.285  0.577   -0.040  0.522   -0.030  0.099   -0.177  0.098    0.128  0.365
832.50     0.274  0.603   -0.040  0.521   -0.030  0.102   -0.172  0.096    0.115  0.373
837.50     0.259  0.626   -0.039  0.520   -0.030  0.105   -0.167  0.093    0.100  0.381
842.50     0.242  0.647   -0.039  0.519   -0.030  0.108   -0.162  0.091    0.086  0.388
847.50     0.223  0.666   -0.039  0.517   -0.030  0.111   -0.157  0.089    0.071  0.393
852.50     0.203  0.681   -0.039  0.516   -0.030  0.114   -0.153  0.087    0.055  0.397
857.50     0.182  0.694   -0.038  0.515   -0.030  0.117   -0.148  0.085    0.040  0.400
862.50     0.160  0.705   -0.038  0.514   -0.031  0.120   -0.143  0.084    0.024  0.401
867.50     0.139  0.712   -0.038  0.513   -0.031  0.123   -0.139  0.082    0.009  0.401
872.50     0.119  0.718   -0.037  0.512   -0.031  0.126   -0.134  0.081   -0.006  0.400
877.50     0.099  0.722   -0.037  0.511   -0.032  0.129   -0.130  0.080   -0.021  0.399
882.50     0.080  0.724   -0.037  0.510   -0.033  0.132   -0.126  0.079   -0.035  0.396
887.50     0.062  0.725   -0.036  0.509   -0.033  0.135   -0.121  0.078   -0.048  0.392
892.50     0.046  0.725   -0.036  0.508   -0.034  0.138   -0.117  0.077   -0.061  0.387
897.50     0.030  0.723   -0.035  0.507   -0.035  0.141   -0.113  0.076   -0.073  0.382
902.50     0.015  0.722   -0.035  0.507   -0.036  0.144   -0.109  0.076   -0.085  0.376
907.50     0.002  0.719   -0.034  0.506   -0.037  0.146   -0.105  0.075   -0.095  0.369
912.50    -0.011  0.716   -0.034  0.505   -0.038  0.149   -0.102  0.075   -0.105  0.362
917.50    -0.023  0.713   -0.033  0.504   -0.039  0.152   -0.098  0.074   -0.114  0.355
922.50    -0.034  0.710   -0.033  0.503   -0.040  0.154   -0.094  0.074   -0.122  0.348
927.50    -0.044  0.707   -0.032  0.502   -0.042  0.157   -0.090  0.074   -0.130  0.340
932.50    -0.054  0.703   -0.032  0.502   -0.043  0.159   -0.087  0.074   -0.137  0.333
937.50    -0.063  0.699   -0.031  0.501   -0.044  0.161   -0.083  0.074   -0.143  0.325
942.50    -0.072  0.696   -0.030  0.500   -0.046  0.164   -0.080  0.074   -0.148  0.317
947.50    -0.080  0.692   -0.030  0.499   -0.047  0.166   -0.077  0.074   -0.153  0.310
952.50    -0.087  0.688   -0.029  0.499   -0.048  0.168   -0.073  0.074   -0.158  0.302
957.50    -0.094  0.685   -0.028  0.498   -0.050  0.170   -0.070  0.074   -0.161  0.295
962.50    -0.101  0.681   -0.028  0.497   -0.051  0.172   -0.067  0.074   -0.165  0.288
967.50    -0.107  0.677   -0.027  0.497   -0.053  0.174   -0.064  0.075   -0.168  0.281
972.50    -0.113  0.674   -0.026  0.496   -0.054  0.176   -0.061  0.075   -0.171  0.274
977.50    -0.118  0.670   -0.026  0.495   -0.056  0.178   -0.058  0.076   -0.173  0.267
982.50    -0.124  0.667   -0.025  0.495   -0.057  0.180   -0.055  0.076   -0.175  0.261
987.50    -0.129  0.663   -0.024  0.494   -0.059  0.181   -0.052  0.077   -0.176  0.255
992.50    -0.133  0.660   -0.023  0.494   -0.060  0.183   -0.050  0.077   -0.178  0.249
997.50    -0.138  0.657   -0.023  0.493   -0.062  0.185   -0.047  0.078   -0.179  0.243
1002.50   -0.142  0.654   -0.022  0.493   -0.063  0.186   -0.044  0.078   -0.179  0.237
1007.50   -0.146  0.651   -0.021  0.492   -0.065  0.188   -0.042  0.079   -0.180  0.232
1012.50   -0.149  0.648   -0.020  0.492   -0.066  0.189   -0.039  0.080   -0.181  0.227
1017.50   -0.153  0.645   -0.020  0.491   -0.068  0.191   -0.037  0.081   -0.181  0.222
1022.50   -0.156  0.642   -0.019  0.491   -0.069  0.192   -0.034  0.081   -0.181  0.217
1027.50   -0.159  0.639   -0.018  0.491   -0.071  0.193   -0.032  0.082   -0.181  0.212
1032.50   -0.162  0.636   -0.017  0.490   -0.072  0.194   -0.030  0.083   -0.181  0.208
1037.50   -0.165  0.634   -0.017  0.490   -0.074  0.196   -0.027  0.084   -0.181  0.203
1042.50   -0.167  0.631   -0.016  0.490   -0.075  0.197   -0.025  0.085   -0.180  0.199
1047.50   -0.170  0.629   -0.015  0.489   -0.077  0.198   -0.023  0.086   -0.180  0.195
1052.50   -0.172  0.626   -0.014  0.489   -0.078  0.199   -0.021  0.087   -0.179  0.192
1057.50   -0.174  0.624   -0.013  0.489   -0.079  0.200   -0.019  0.088   -0.179  0.188
1062.50   -0.176  0.621   -0.013  0.489   -0.081  0.201   -0.017  0.089   -0.178  0.185
1067.50   -0.178  0.619   -0.012  0.488   -0.082  0.202   -0.015  0.090   -0.178  0.181
1072.50   -0.180  0.617   -0.011  0.488   -0.083  0.203   -0.013  0.091   -0.177  0.178
1077.50   -0.181  0.615   -0.010  0.488   -0.085  0.203   -0.011  0.092   -0.176  0.175
1082.50   -0.183  0.613   -0.009  0.488   -0.086  0.204   -0.009  0.093   -0.175  0.172
1087.50   -0.184  0.611   -0.009  0.488   -0.087  0.205   -0.007  0.094   -0.174  0.169
1092.50   -0.185  0.609   -0.008  0.488   -0.088  0.206   -0.006  0.095   -0.174  0.167
1097.50   -0.187  0.607   -0.007  0.487   -0.090  0.207   -0.004  0.096   -0.173  0.164
1102.50   -0.188  0.606   -0.006  0.487   -0.091  0.207   -0.002  0.097   -0.172  0.161
1107.50   -0.189  0.604   -0.005  0.487   -0.092  0.208   -0.001  0.099   -0.171  0.159
1112.50   -0.190  0.602   -0.005  0.487   -0.093  0.209    0.001  0.100   -0.170  0.157
1117.50   -0.191  0.601   -0.004  0.487   -0.094  0.209    0.002  0.101   -0.169  0.155
1122.50   -0.191  0.599   -0.003  0.487   -0.095  0.210    0.004  0.102   -0.168  0.152
1127.50   -0.192  0.598   -0.002  0.487   -0.096  0.210    0.005  0.103   -0.167  0.150
1132.50   -0.193  0.596   -0.002  0.487   -0.097  0.211    0.007  0.105   -0.166  0.149
1137.50   -0.193  0.595   -0.001  0.487   -0.098  0.211    0.008  0.106   -0.165  0.147
1142.50   -0.194  0.594    0.000  0.487   -0.099  0.212    0.009  0.107   -0.164  0.145
1147.50   -0.195  0.593    0.001  0.487   -0.100  0.213    0.010  0.108   -0.163  0.143
1152.50   -0.195  0.591    0.002  0.487   -0.101  0.213    0.012  0.109   -0.162  0.142
1157.50   -0.195  0.590    0.002  0.488   -0.102  0.214    0.013  0.111   -0.161  0.140
1162.50   -0.196  0.589    0.003  0.488   -0.103  0.214    0.014  0.112   -0.160  0.138
1167.50   -0.196  0.588    0.004  0.488   -0.104  0.214    0.015  0.113   -0.159  0.137
1172.50   -0.196  0.587    0.004  0.488   -0.105  0.215    0.016  0.114   -0.158  0.136
1177.50   -0.196  0.586    0.005  0.488   -0.106  0.215    0.017  0.116   -0.157  0.134
1182.50   -0.196  0.585    0.006  0.488   -0.107  0.216    0.018  0.117   -0.156  0.133
1187.50   -0.197  0.584    0.007  0.488   -0.107  0.216    0.019  0.118   -0.155  0.132
1192.50   -0.197  0.584    0.007  0.489   -0.108  0.217    0.020  0.119   -0.154  0.131
1197.50   -0.197  0.583    0.008  0.489   -0.109  0.217    0.021  0.121   -0.153  0.130
1202.50   -0.197  0.582    0.009  0.489   -0.110  0.217    0.021  0.122   -0.152  0.129
1207.50   -0.197  0.581    0.009  0.489   -0.110  0.218    0.022  0.123   -0.151  0.128
1212.50   -0.196  0.581    0.010  0.490   -0.111  0.218    0.023  0.125   -0.150  0.127
1217.50   -0.196  0.580    0.011  0.490   -0.112  0.218    0.024  0.126   -0.149  0.126
1222.50   -0.196  0.579    0.011  0.490   -0.112  0.219    0.024  0.127   -0.148  0.125
1227.50   -0.196  0.579    0.012  0.490   -0.113  0.219    0.025  0.128   -0.147  0.124
1232.50   -0.196  0.578    0.013  0.491   -0.114  0.219    0.026  0.130   -0.146  0.123
1237.50   -0.196  0.578    0.013  0.491   -0.114  0.220    0.026  0.131   -0.145  0.122
1242.50   -0.195  0.577    0.014  0.491   -0.115  0.220    0.027  0.132   -0.144  0.122
1247.50   -0.195  0.576    0.014  0.492   -0.116  0.220    0.028  0.133   -0.143  0.121
1252.50   -0.195  0.576    0.015  0.492   -0.116  0.221    0.028  0.135   -0.142  0.120
1257.50   -0.194  0.576    0.016  0.492   -0.117  0.221    0.029  0.136   -0.142  0.120
1262.50   -0.194  0.575    0.016  0.493   -0.117  0.221    0.029  0.137   -0.141  0.119
1267.50   -0.194  0.575    0.017  0.493   -0.118  0.222    0.029  0.138   -0.140  0.119
1272.50   -0.193  0.574    0.017  0.494   -0.118  0.222    0.030  0.140   -0.139  0.118
1277.50   -0.193  0.574    0.018  0.494   -0.119  0.222    0.030  0.141   -0.138  0.118
1282.50   -0.192  0.574    0.018  0.494   -0.119  0.223    0.031  0.142   -0.137  0.117
1287.50   -0.192  0.573    0.019  0.495   -0.120  0.223    0.031  0.143   -0.136  0.117
1292.50   -0.191  0.573    0.020  0.495   -0.120  0.223    0.031  0.144   -0.135  0.116
1297.50   -0.191  0.573    0.020  0.496   -0.121  0.224    0.032  0.146   -0.134  0.116
1302.50   -0.190  0.572    0.021  0.496   -0.121  0.224    0.032  0.147   -0.134  0.116
1307.50   -0.190  0.572    0.021  0.497   -0.122  0.224    0.032  0.148   -0.133  0.115
1312.50   -0.189  0.572    0.022  0.497   -0.122  0.225    0.032  0.149   -0.132  0.115
1317.50   -0.189  0.572    0.022  0.497   -0.123  0.225    0.032  0.150   -0.131  0.115
1322.50   -0.188  0.571    0.023  0.498   -0.123  0.225    0.033  0.151   -0.130  0.115
1327.50   -0.188  0.571    0.023  0.498   -0.123  0.225    0.033  0.153   -0.129  0.114
1332.50   -0.187  0.571    0.023  0.499   -0.124  0.226    0.033  0.154   -0.129  0.114
1337.50   -0.186  0.571    0.024  0.499   -0.124  0.226    0.033  0.155   -0.128  0.114
1342.50   -0.186  0.571    0.024  0.500   -0.125  0.226    0.033  0.156   -0.127  0.114
1347.50   -0.185  0.570    0.025  0.500   -0.125  0.227    0.033  0.157   -0.126  0.114
1352.50   -0.185  0.570    0.025  0.501   -0.125  0.227    0.033  0.158   -0.125  0.114
1357.50   -0.184  0.570    0.026  0.501   -0.126  0.227    0.033  0.159   -0.125  0.113
1362.50   -0.183  0.570    0.026  0.502   -0.126  0.227    0.033  0.161   -0.124  0.113
1367.50   -0.183  0.570    0.026  0.502   -0.126  0.228    0.033  0.162   -0.123  0.113
1372.50   -0.182  0.570    0.027  0.503   -0.127  0.228    0.033  0.163   -0.122  0.113
1377.50   -0.181  0.569    0.027  0.504   -0.127  0.228    0.033  0.164   -0.121  0.113
1382.50   -0.181  0.569    0.027  0.504   -0.127  0.229    0.033  0.165   -0.121  0.113
1387.50   -0.180  0.569    0.028  0.505   -0.128  0.229    0.033  0.166   -0.120  0.113
1392.50   -0.179  0.569    0.028  0.505   -0.128  0.229    0.033  0.167   -0.119  0.113
1397.50   -0.178  0.569    0.028  0.506   -0.128  0.230    0.033  0.168   -0.118  0.113
1402.50   -0.178  0.569    0.029  0.506   -0.129  0.230    0.033  0.169   -0.118  0.113
1407.50   -0.177  0.569    0.029  0.507   -0.129  0.230    0.033  0.170   -0.117  0.114
1412.50   -0.176  0.568    0.029  0.507   -0.129  0.230    0.033  0.171   -0.116  0.114
1417.50   -0.175  0.568    0.030  0.508   -0.129  0.231    0.032  0.172   -0.116  0.114
1422.50   -0.175  0.568    0.030  0.508   -0.130  0.231    0.032  0.173   -0.115  0.114
1427.50   -0.174  0.568    0.030  0.509   -0.130  0.231    0.032  0.174   -0.114  0.114
1432.50   -0.173  0.568    0.030  0.510   -0.130  0.232    0.032  0.175   -0.113  0.114
1437.50   -0.172  0.568    0.031  0.510   -0.131  0.232    0.032  0.176   -0.113  0.114
1442.50   -0.171  0.568    0.031  0.511   -0.131  0.232    0.031  0.177   -0.112  0.115
1447.50   -0.171  0.568    0.031  0.511   -0.131  0.232    0.031  0.178   -0.111  0.115
1452.50   -0.170  0.567    0.031  0.512   -0.131  0.233    0.031  0.179   -0.111  0.115
1457.50   -0.169  0.567    0.031  0.512   -0.132  0.233    0.031  0.180   -0.110  0.115
1462.50   -0.168  0.567    0.032  0.513   -0.132  0.233    0.031  0.181   -0.109  0.116
1467.50   -0.167  0.567    0.032  0.514   -0.132  0.234    0.030  0.182   -0.109  0.116
1472.50   -0.167  0.567    0.032  0.514   -0.132  0.234    0.030  0.183   -0.108  0.116
1477.50   -0.166  0.567    0.032  0.515   -0.133  0.234    0.030  0.184   -0.107  0.116
1482.50   -0.165  0.567    0.032  0.515   -0.133  0.235    0.029  0.185   -0.107  0.117
1487.50   -0.164  0.566    0.032  0.516   -0.133  0.235    0.029  0.186   -0.106  0.117
1492.50   -0.163  0.566    0.033  0.517   -0.133  0.235    0.029  0.187   -0.106  0.117
1497.50   -0.163  0.566    0.033  0.517   -0.133  0.236    0.028  0.188   -0.105  0.118
1502.50   -0.162  0.566    0.033  0.518   -0.134  0.236    0.028  0.189   -0.104  0.118
1507.50   -0.161  0.566    0.033  0.518   -0.134  0.236    0.028  0.190   -0.104  0.118
1512.50   -0.160  0.566    0.033  0.519   -0.134  0.236    0.027  0.191   -0.103  0.119
1517.50   -0.159  0.565    0.033  0.520   -0.134  0.237    0.027  0.192   -0.103  0.119
1522.50   -0.158  0.565    0.033  0.520   -0.135  0.237    0.027  0.192   -0.102  0.120
1527.50   -0.158  0.565    0.033  0.521   -0.135  0.237    0.026  0.193   -0.101  0.120
1532.50   -0.157  0.565    0.033  0.521   -0.135  0.238    0.026  0.194   -0.101  0.121
1537.50   -0.156  0.565    0.033  0.522   -0.135  0.238    0.026  0.195   -0.100  0.121
1542.50   -0.155  0.564    0.033  0.522   -0.135  0.238    0.025  0.196   -0.100  0.121
1547.50   -0.154  0.564    0.034  0.523   -0.136  0.239    0.025  0.197   -0.099  0.122
1552.50   -0.153  0.564    0.034  0.524   -0.136  0.239    0.024  0.198   -0.099  0.122
1557.50   -0.153  0.564    0.034  0.524   -0.136  0.239    0.024  0.199   -0.098  0.123
1562.50   -0.152  0.563    0.034  0.525   -0.136  0.240    0.024  0.199   -0.098  0.123
1567.50   -0.151  0.563    0.034  0.525   -0.136  0.240    0.023  0.200   -0.097  0.124
1572.50   -0.150  0.563    0.034  0.526   -0.137  0.240    0.023  0.201   -0.097  0.124
1577.50   -0.149  0.563    0.034  0.526   -0.137  0.240    0.022  0.202   -0.096  0.125
1582.50   -0.149  0.562    0.034  0.527   -0.137  0.241    0.022  0.203   -0.096  0.125
1587.50   -0.148  0.562    0.033  0.528   -0.137  0.241    0.021  0.204   -0.095  0.126
1592.50   -0.147  0.562    0.033  0.528   -0.137  0.241    0.021  0.204   -0.095  0.127
1597.50   -0.146  0.562    0.033  0.529   -0.138  0.242    0.020  0.205   -0.094  0.127
1602.50   -0.145  0.561    0.033  0.529   -0.138  0.242    0.020  0.206   -0.094  0.128
1607.50   -0.144  0.561    0.033  0.530   -0.138  0.242    0.020  0.207   -0.093  0.128
1612.50   -0.144  0.561    0.033  0.530   -0.138  0.243    0.019  0.208   -0.093  0.129
1617.50   -0.143  0.560    0.033  0.531   -0.138  0.243    0.019  0.208   -0.092  0.129
1622.50   -0.142  0.560    0.033  0.532   -0.139  0.243    0.018  0.209   -0.092  0.130
1627.50   -0.141  0.560    0.033  0.532   -0.139  0.244    0.018  0.210   -0.092  0.131
1632.50   -0.141  0.559    0.033  0.533   -0.139  0.244    0.017  0.211   -0.091  0.131
1637.50   -0.140  0.559    0.033  0.533   -0.139  0.244    0.017  0.212   -0.091  0.132
1642.50   -0.139  0.559    0.033  0.534   -0.139  0.245    0.016  0.212   -0.090  0.133
1647.50   -0.138  0.558    0.033  0.534   -0.140  0.245    0.016  0.213   -0.090  0.133
1652.50   -0.137  0.558    0.032  0.535   -0.140  0.245    0.015  0.214   -0.090  0.134
1657.50   -0.137  0.557    0.032  0.535   -0.140  0.245    0.015  0.215   -0.089  0.135
1662.50   -0.136  0.557    0.032  0.536   -0.140  0.246    0.014  0.215   -0.089  0.135
1667.50   -0.135  0.556    0.032  0.536   -0.140  0.246    0.014  0.216   -0.089  0.136
1672.50   -0.135  0.556    0.032  0.537   -0.141  0.246    0.013  0.217   -0.088  0.137
1677.50   -0.134  0.556    0.032  0.537   -0.141  0.247    0.013  0.218   -0.088  0.137
1682.50   -0.133  0.555    0.031  0.538   -0.141  0.247    0.012  0.218   -0.088  0.138
1687.50   -0.132  0.555    0.031  0.538   -0.141  0.247    0.012  0.219   -0.087  0.139
1692.50   -0.132  0.554    0.031  0.539   -0.142  0.248    0.011  0.220   -0.087  0.139
1697.50   -0.131  0.554    0.031  0.539   -0.142  0.248    0.011  0.221   -0.087  0.140
1702.50   -0.130  0.553    0.031  0.540   -0.142  0.248    0.010  0.221   -0.087  0.141
1707.50   -0.130  0.553    0.030  0.540   -0.142  0.249    0.010  0.222   -0.086  0.141
1712.50   -0.129  0.552    0.030  0.541   -0.142  0.249    0.009  0.223   -0.086  0.142
1717.50   -0.128  0.552    0.030  0.541   -0.143  0.249    0.009  0.224   -0.086  0.143
1722.50   -0.128  0.551    0.030  0.542   -0.143  0.250    0.008  0.224   -0.086  0.144
1727.50   -0.127  0.551    0.030  0.542   -0.143  0.250    0.008  0.225   -0.085  0.144
1732.50   -0.126  0.550    0.029  0.543   -0.143  0.250    0.007  0.226   -0.085  0.145
1737.50   -0.126  0.550    0.029  0.543   -0.143  0.251    0.007  0.226   -0.085  0.146
1742.50   -0.125  0.549    0.029  0.544   -0.144  0.251    0.006  0.227   -0.085  0.146
1747.50   -0.124  0.548    0.029  0.544   -0.144  0.251    0.006  0.228   -0.085  0.147
1752.50   -0.124  0.548    0.028  0.545   -0.144  0.251    0.005  0.229   -0.085  0.148
1757.50   -0.123  0.547    0.028  0.545   -0.144  0.252    0.005  0.229   -0.084  0.149
1762.50   -0.123  0.547    0.028  0.546   -0.145  0.252    0.004  0.230   -0.084  0.149
1767.50   -0.122  0.546    0.027  0.546   -0.145  0.252    0.004  0.231   -0.084  0.150
1772.50   -0.122  0.545    0.027  0.547   -0.145  0.253    0.003  0.231   -0.084  0.151
1777.50   -0.121  0.545    0.027  0.547   -0.145  0.253    0.003  0.232   -0.084  0.152
1782.50   -0.121  0.544    0.027  0.547   -0.145  0.253    0.002  0.233   -0.084  0.152
1787.50   -0.120  0.543    0.026  0.548   -0.146  0.254    0.002  0.233   -0.084  0.153
1792.50   -0.120  0.543    0.026  0.548   -0.146  0.254    0.001  0.234   -0.084  0.154
1797.50   -0.119  0.542    0.026  0.549   -0.146  0.254    0.001  0.235   -0.084  0.154
1802.50   -0.119  0.541    0.025  0.549   -0.146  0.255    0.000  0.236   -0.084  0.155
1807.50   -0.118  0.541    0.025  0.550   -0.147  0.255    0.000  0.236   -0.083  0.156
1812.50   -0.118  0.540    0.025  0.550   -0.147  0.255   -0.001  0.237   -0.083  0.157
1817.50   -0.117  0.539    0.024  0.550   -0.147  0.256   -0.001  0.238   -0.083  0.157
1822.50   -0.117  0.538    0.024  0.551   -0.147  0.256   -0.002  0.238   -0.083  0.158
1827.50   -0.116  0.538    0.024  0.551   -0.148  0.256   -0.002  0.239   -0.083  0.159
1832.50   -0.116  0.537    0.023  0.552   -0.148  0.257   -0.003  0.240   -0.083  0.160
1837.50   -0.116  0.536    0.023  0.552   -0.148  0.257   -0.003  0.240   -0.083  0.160
1842.50   -0.115  0.536    0.023  0.552   -0.148  0.257   -0.004  0.241   -0.083  0.161
1847.50   -0.115  0.535    0.022  0.553   -0.149  0.258   -0.004  0.242   -0.083  0.162
1852.50   -0.115  0.534    0.022  0.553   -0.149  0.258   -0.005  0.242   -0.084  0.162
1857.50   -0.114  0.533    0.021  0.554   -0.149  0.258   -0.005  0.243   -0.084  0.163
1862.50   -0.114  0.532    0.021  0.554   -0.149  0.259   -0.006  0.244   -0.084  0.164
1867.50   -0.114  0.532    0.021  0.554   -0.150  0.259   -0.006  0.244   -0.084  0.165
1872.50   -0.113  0.531    0.020  0.555   -0.150  0.259   -0.007  0.245   -0.084  0.165
1877.50   -0.113  0.530    0.020  0.555   -0.150  0.259   -0.007  0.246   -0.084  0.166
1882.50   -0.113  0.529    0.019  0.555   -0.150  0.260   -0.008  0.246   -0.084  0.167
1887.50   -0.113  0.528    0.019  0.556   -0.151  0.260   -0.008  0.247   -0.084  0.167
1892.50   -0.112  0.528    0.019  0.556   -0.151  0.260   -0.009  0.248   -0.084  0.168
1897.50   -0.112  0.527    0.018  0.557   -0.151  0.261   -0.009  0.248   -0.084  0.169
1902.50   -0.112  0.526    0.018  0.557   -0.151  0.261   -0.009  0.249   -0.084  0.169
1907.50   -0.112  0.525    0.017  0.557   -0.152  0.261   -0.010  0.249   -0.085  0.170
1912.50   -0.112  0.524    0.017  0.558   -0.152  0.262   -0.010  0.250   -0.085  0.171
1917.50   -0.111  0.523    0.017  0.558   -0.152  0.262   -0.011  0.251   -0.085  0.171
1922.50   -0.111  0.522    0.016  0.558   -0.153  0.262   -0.011  0.251   -0.085  0.172
1927.50   -0.111  0.522    0.016  0.559   -0.153  0.263   -0.012  0.252   -0.085  0.172
1932.50   -0.111  0.521    0.015  0.559   -0.153  0.263   -0.012  0.253   -0.086  0.173
1937.50   -0.111  0.520    0.015  0.559   -0.153  0.263   -0.013  0.253   -0.086  0.174
1942.50   -0.111  0.519    0.014  0.560   -0.154  0.264   -0.013  0.254   -0.086  0.174
1947.50   -0.111  0.518    0.014  0.560   -0.154  0.264   -0.014  0.255   -0.086  0.175
1952.50   -0.111  0.517    0.013  0.560   -0.154  0.264   -0.014  0.255   -0.086  0.175
1957.50   -0.111  0.516    0.013  0.560   -0.155  0.265   -0.014  0.256   -0.087  0.176
1962.50   -0.111  0.515    0.012  0.561   -0.155  0.265   -0.015  0.257   -0.087  0.177
1967.50   -0.111  0.515    0.012  0.561   -0.155  0.265   -0.015  0.257   -0.087  0.177
1972.50   -0.111  0.514    0.011  0.561   -0.155  0.266   -0.016  0.258   -0.087  0.178
1977.50   -0.111  0.513    0.011  0.562   -0.156  0.266   -0.016  0.259   -0.088  0.178
1982.50   -0.111  0.512    0.010  0.562   -0.156  0.266   -0.017  0.259   -0.088  0.179
1987.50   -0.111  0.511    0.010  0.562   -0.156  0.267   -0.017  0.260   -0.088  0.179
1992.50   -0.112  0.510    0.009  0.563   -0.157  0.267   -0.017  0.260   -0.088  0.180
1997.50   -0.112  0.509    0.009  0.563   -0.157  0.267   -0.018  0.261   -0.089  0.180
2002.50   -0.112  0.508    0.008  0.563   -0.157  0.268   -0.018  0.262   -0.089  0.181
2007.50   -0.112  0.507    0.008  0.563   -0.158  0.268   -0.019  0.262   -0.089  0.181
2012.50   -0.112  0.506    0.007  0.564   -0.158  0.268   -0.019  0.263   -0.089  0.182
2017.50   -0.113  0.505    0.007  0.564   -0.158  0.269   -0.019  0.264   -0.090  0.182
2022.50   -0.113  0.504    0.006  0.564   -0.159  0.269   -0.020  0.264   -0.090  0.183
2027.50   -0.113  0.503    0.006  0.564   -0.159  0.269   -0.020  0.265   -0.090  0.183
2032.50   -0.113  0.503    0.005  0.565   -0.159  0.269   -0.020  0.266   -0.091  0.184
2037.50   -0.114  0.502    0.005  0.565   -0.159  0.270   -0.021  0.266   -0.091  0.184
2042.50   -0.114  0.501    0.004  0.565   -0.160  0.270   -0.021  0.267   -0.091  0.184
2047.50   -0.114  0.500    0.004  0.565   -0.160  0.270   -0.022  0.268   -0.092  0.185
2052.50   -0.115  0.499    0.003  0.566   -0.160  0.271   -0.022  0.268   -0.092  0.185
2057.50   -0.115  0.498    0.003  0.566   -0.161  0.271   -0.022  0.269   -0.092  0.186
2062.50   -0.115  0.497    0.002  0.566   -0.161  0.271   -0.023  0.269   -0.093  0.186
2067.50   -0.116  0.496    0.001  0.566   -0.161  0.272   -0.023  0.270   -0.093  0.186
2072.50   -0.116  0.495    0.001  0.567   -0.162  0.272   -0.023  0.271   -0.093  0.187
2077.50   -0.117  0.494    0.000  0.567   -0.162  0.272   -0.024  0.271   -0.094  0.187
2082.50   -0.117  0.493    0.000  0.567   -0.163  0.273   -0.024  0.272   -0.094  0.187
2087.50   -0.118  0.492   -0.001  0.567   -0.163  0.273   -0.024  0.273   -0.094  0.188
2092.50   -0.118  0.492   -0.001  0.568   -0.163  0.273   -0.025  0.273   -0.095  0.188
2097.50   -0.119  0.491   -0.002  0.568   -0.164  0.274   -0.025  0.274   -0.095  0.188
2102.50   -0.120  0.490   -0.003  0.568   -0.164  0.274   -0.025  0.275   -0.095  0.188
2107.50   -0.120  0.489   -0.003  0.568   -0.164  0.274   -0.026  0.275   -0.096  0.189
2112.50   -0.121  0.488   -0.004  0.569   -0.165  0.275   -0.026  0.276   -0.096  0.189
2117.50   -0.121  0.487   -0.004  0.569   -0.165  0.275   -0.026  0.276   -0.096  0.189
2122.50   -0.122  0.486   -0.005  0.569   -0.165  0.275   -0.027  0.277   -0.097  0.189
2127.50   -0.123  0.485   -0.006  0.569   -0.166  0.276   -0.027  0.278   -0.097  0.190
2132.50   -0.123  0.484   -0.006  0.569   -0.166  0.276   -0.027  0.278   -0.097  0.190
2137.50   -0.124  0.484   -0.007  0.570   -0.166  0.276   -0.028  0.279   -0.098  0.190
2142.50   -0.125  0.483   -0.007  0.570   -0.167  0.277   -0.028  0.280   -0.098  0.190
2147.50   -0.126  0.482   -0.008  0.570   -0.167  0.277   -0.028  0.280   -0.098  0.190
2152.50   -0.126  0.481   -0.009  0.570   -0.168  0.277   -0.028  0.281   -0.099  0.191
2157.50   -0.127  0.480   -0.009  0.570   -0.168  0.278   -0.029  0.282   -0.099  0.191
2162.50   -0.128  0.479   -0.010  0.571   -0.168  0.278   -0.029  0.282   -0.099  0.191
2167.50   -0.129  0.479   -0.011  0.571   -0.169  0.278   -0.029  0.283   -0.100  0.191
2172.50   -0.130  0.478   -0.011  0.571   -0.169  0.279   -0.029  0.284   -0.100  0.191
2177.50   -0.131  0.477   -0.012  0.571   -0.169  0.279   -0.030  0.284   -0.100  0.191
2182.50   -0.131  0.476   -0.013  0.571   -0.170  0.279   -0.030  0.285   -0.100  0.191
2187.50   -0.132  0.475   -0.013  0.572   -0.170  0.280   -0.030  0.285   -0.101  0.191
2192.50   -0.133  0.475   -0.014  0.572   -0.171  0.280   -0.030  0.286   -0.101  0.191
2197.50   -0.134  0.474   -0.015  0.572   -0.171  0.280   -0.031  0.287   -0.101  0.191
2202.50   -0.135  0.473   -0.015  0.572   -0.171  0.281   -0.031  0.287   -0.102  0.191
2207.50   -0.136  0.472   -0.016  0.572   -0.172  0.281   -0.031  0.288   -0.102  0.191
2212.50   -0.137  0.472   -0.017  0.573   -0.172  0.281   -0.031  0.289   -0.102  0.191
2217.50   -0.138  0.471   -0.017  0.573   -0.173  0.282   -0.032  0.289   -0.103  0.192
2222.50   -0.139  0.470   -0.018  0.573   -0.173  0.282   -0.032  0.290   -0.103  0.192
2227.50   -0.140  0.469   -0.019  0.573   -0.173  0.282   -0.032  0.291   -0.103  0.191
2232.50   -0.141  0.469   -0.019  0.573   -0.174  0.283   -0.032  0.291   -0.103  0.191
2237.50   -0.143  0.468   -0.020  0.573   -0.174  0.283   -0.032  0.292   -0.104  0.191
2242.50   -0.144  0.467   -0.021  0.574   -0.175  0.283   -0.033  0.293   -0.104  0.191
2247.50   -0.145  0.467   -0.021  0.574   -0.175  0.284   -0.033  0.293   -0.104  0.191
2252.50   -0.146  0.466   -0.022  0.574   -0.175  0.284   -0.033  0.294   -0.104  0.191
2257.50   -0.147  0.465   -0.023  0.574   -0.176  0.285   -0.033  0.295   -0.105  0.191
2262.50   -0.148  0.465   -0.023  0.574   -0.176  0.285   -0.033  0.295   -0.105  0.191
2267.50   -0.150  0.464   -0.024  0.574   -0.177  0.285   -0.034  0.296   -0.105  0.191
2272.50   -0.151  0.464   -0.025  0.575   -0.177  0.286   -0.034  0.297   -0.105  0.191
2277.50   -0.152  0.463   -0.025  0.575   -0.178  0.286   -0.034  0.297   -0.105  0.191
2282.50   -0.153  0.463   -0.026  0.575   -0.178  0.286   -0.034  0.298   -0.106  0.191
2287.50   -0.155  0.462   -0.027  0.575   -0.178  0.287   -0.034  0.299   -0.106  0.190
2292.50   -0.156  0.462   -0.028  0.575   -0.179  0.287   -0.034  0.299   -0.106  0.190
2297.50   -0.157  0.461   -0.028  0.576   -0.179  0.287   -0.034  0.300   -0.106  0.190
2302.50   -0.158  0.461   -0.029  0.576   -0.180  0.288   -0.035  0.301   -0.106  0.190
2307.50   -0.160  0.460   -0.030  0.576   -0.180  0.288   -0.035  0.301   -0.107  0.190
2312.50   -0.161  0.460   -0.031  0.576   -0.181  0.288   -0.035  0.302   -0.107  0.190
2317.50   -0.163  0.459   -0.031  0.576   -0.181  0.289   -0.035  0.303   -0.107  0.189
2322.50   -0.164  0.459   -0.032  0.576   -0.182  0.289   -0.035  0.303   -0.107  0.189
2327.50   -0.165  0.458   -0.033  0.577   -0.182  0.289   -0.035  0.304   -0.107  0.189
2332.50   -0.167  0.458   -0.034  0.577   -0.182  0.290   -0.035  0.305   -0.107  0.189
2337.50   -0.168  0.458   -0.034  0.577   -0.183  0.290   -0.035  0.305   -0.107  0.189
2342.50   -0.170  0.457   -0.035  0.577   -0.183  0.291   -0.035  0.306   -0.108  0.188
2347.50   -0.171  0.457   -0.036  0.577   -0.184  0.291   -0.035  0.307   -0.108  0.188
2352.50   -0.173  0.457   -0.037  0.577   -0.184  0.291   -0.036  0.307   -0.108  0.188
2357.50   -0.174  0.456   -0.037  0.578   -0.185  0.292   -0.036  0.308   -0.108  0.188
2362.50   -0.176  0.456   -0.038  0.578   -0.185  0.292   -0.036  0.309   -0.108  0.187
2367.50   -0.177  0.456   -0.039  0.578   -0.186  0.292   -0.036  0.309   -0.108  0.187
2372.50   -0.179  0.456   -0.040  0.578   -0.186  0.293   -0.036  0.310   -0.108  0.187
2377.50   -0.180  0.455   -0.040  0.578   -0.187  0.293   -0.036  0.311   -0.108  0.186
2382.50   -0.182  0.455   -0.041  0.578   -0.187  0.293   -0.036  0.311   -0.108  0.186
2387.50   -0.183  0.455   -0.042  0.579   -0.188  0.294   -0.036  0.312   -0.108  0.186
2392.50   -0.185  0.455   -0.043  0.579   -0.188  0.294   -0.036  0.313   -0.108  0.185
2397.50   -0.186  0.455   -0.043  0.579   -0.188  0.295   -0.036  0.313   -0.108  0.185
2402.50   -0.188  0.455   -0.044  0.579   -0.189  0.295   -0.036  0.314   -0.108  0.185
2407.50   -0.190  0.454   -0.045  0.579   -0.189  0.295   -0.036  0.315   -0.108  0.184
2412.50   -0.191  0.454   -0.046  0.580   -0.190  0.296   -0.036  0.315   -0.108  0.184
2417.50   -0.193  0.454   -0.047  0.580   -0.190  0.296   -0.036  0.316   -0.108  0.184
2422.50   -0.194  0.454   -0.047  0.580   -0.191  0.296   -0.036  0.317   -0.108  0.183
2427.50   -0.196  0.454   -0.048  0.580   -0.191  0.297   -0.036  0.318   -0.108  0.183
2432.50   -0.198  0.454   -0.049  0.580   -0.192  0.297   -0.036  0.318   -0.108  0.183
2437.50   -0.199  0.454   -0.050  0.581   -0.192  0.298   -0.036  0.319   -0.108  0.182
2442.50   -0.201  0.454   -0.051  0.581   -0.193  0.298   -0.036  0.320   -0.108  0.182
2447.50   -0.203  0.454   -0.051  0.581   -0.193  0.298   -0.036  0.320   -0.108  0.182
2452.50   -0.204  0.455   -0.052  0.581   -0.194  0.299   -0.036  0.321   -0.108  0.181
2457.50   -0.206  0.455   -0.053  0.581   -0.194  0.299   -0.036  0.322   -0.108  0.181
2462.50   -0.208  0.455   -0.054  0.581   -0.195  0.299   -0.036  0.322   -0.108  0.180
2467.50   -0.209  0.455   -0.055  0.582   -0.195  0.300   -0.036  0.323   -0.107  0.180
2472.50   -0.211  0.455   -0.056  0.582   -0.196  0.300   -0.036  0.324   -0.107  0.180
2477.50   -0.213  0.455   -0.056  0.582   -0.196  0.301   -0.036  0.325   -0.107  0.179
2482.50   -0.214  0.456   -0.057  0.582   -0.197  0.301   -0.036  0.325   -0.107  0.179
2487.50   -0.216  0.456   -0.058  0.582   -0.197  0.301   -0.036  0.326   -0.107  0.178
2492.50   -0.218  0.456   -0.059  0.583   -0.198  0.302   -0.036  0.327   -0.107  0.178
2497.50   -0.220  0.456   -0.060  0.583   -0.198  0.302   -0.035  0.327   -0.107  0.177
2502.50   -0.221  0.457   -0.061  0.583   -0.199  0.303   -0.035  0.328   -0.106  0.177
2507.50   -0.223  0.457   -0.061  0.583   -0.199  0.303   -0.035  0.329   -0.106  0.176
2512.50   -0.225  0.457   -0.062  0.584   -0.200  0.303   -0.035  0.330   -0.106  0.176
2517.50   -0.226  0.458   -0.063  0.584   -0.200  0.304   -0.035  0.330   -0.106  0.176
2522.50   -0.228  0.458   -0.064  0.584   -0.201  0.304   -0.035  0.331   -0.105  0.175
2527.50   -0.230  0.459   -0.065  0.584   -0.201  0.305   -0.035  0.332   -0.105  0.175
2532.50   -0.232  0.459   -0.066  0.584   -0.202  0.305   -0.035  0.333   -0.105  0.174
2537.50   -0.233  0.460   -0.066  0.585   -0.202  0.305   -0.035  0.333   -0.105  0.174
2542.50   -0.235  0.460   -0.067  0.585   -0.203  0.306   -0.035  0.334   -0.104  0.173
2547.50   -0.237  0.461   -0.068  0.585   -0.203  0.306   -0.034  0.335   -0.104  0.173
2552.50   -0.238  0.461   -0.069  0.585   -0.204  0.307   -0.034  0.335   -0.104  0.172
2557.50   -0.240  0.462   -0.070  0.586   -0.205  0.307   -0.034  0.336   -0.103  0.172
2562.50   -0.242  0.462   -0.071  0.586   -0.205  0.307   -0.034  0.337   -0.103  0.171
2567.50   -0.244  0.463   -0.072  0.586   -0.206  0.308   -0.034  0.338   -0.103  0.171
2572.50   -0.245  0.464   -0.073  0.586   -0.206  0.308   -0.034  0.338   -0.102  0.170
2577.50   -0.247  0.464   -0.073  0.587   -0.207  0.309   -0.033  0.339   -0.102  0.170
2582.50   -0.249  0.465   -0.074  0.587   -0.207  0.309   -0.033  0.340   -0.102  0.169
2587.50   -0.251  0.466   -0.075  0.587   -0.208  0.309   -0.033  0.341   -0.101  0.169
2592.50   -0.252  0.466   -0.076  0.587   -0.208  0.310   -0.033  0.341   -0.101  0.168
2597.50   -0.254  0.467   -0.077  0.588   -0.209  0.310   -0.033  0.342   -0.101  0.168

Tlab      3,1,5           3,1,7           4,1,7           4,1,9           5,1,9           
2.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
7.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
12.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
17.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
22.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
27.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
32.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
37.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
42.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
47.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
52.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
57.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
62.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
67.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
72.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
77.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
82.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
87.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
92.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
97.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
102.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
107.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
112.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
117.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
122.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
127.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
132.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
137.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
142.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
147.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
152.50     0.002  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
157.50     0.002  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
162.50     0.002  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
167.50     0.002  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
172.50     0.002  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
177.50     0.003  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
182.50     0.003  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
187.50     0.003  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
192.50     0.003  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
197.50     0.004  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
202.50     0.004  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
207.50     0.004  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
212.50     0.005  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
217.50     0.005  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
222.50     0.005  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
227.50     0.006  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
232.50     0.006  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
237.50     0.006  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
242.50     0.007  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
247.50     0.007  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
252.50     0.008  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
257.50     0.008  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
262.50     0.009  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
267.50     0.009  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
272.50     0.010  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
277.50     0.011  0.000    0.000  0.000    0.001  0.000    0.001  0.000    0.000  0.000
282.50     0.011  0.000    0.000  0.000    0.002  0.000    0.001  0.000    0.000  0.000
287.50     0.012  0.000    0.000  0.000    0.002  0.000    0.001  0.000    0.000  0.000
292.50     0.012  0.000    0.000  0.000    0.002  0.000    0.001  0.000    0.000  0.000
297.50     0.013  0.000    0.000  0.000    0.002  0.000    0.001  0.000    0.000  0.000
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1177.50   -0.207  0.233    0.010  0.012    0.106  0.061    0.026  0.005    0.042  0.012
1182.50   -0.207  0.232    0.010  0.012    0.107  0.062    0.026  0.005    0.042  0.013
1187.50   -0.206  0.231    0.010  0.013    0.108  0.064    0.026  0.005    0.043  0.013
1192.50   -0.206  0.230    0.010  0.013    0.109  0.065    0.026  0.006    0.044  0.013
1197.50   -0.206  0.229    0.010  0.013    0.109  0.066    0.026  0.006    0.044  0.014
1202.50   -0.206  0.228    0.010  0.013    0.110  0.068    0.027  0.006    0.045  0.014
1207.50   -0.205  0.227    0.010  0.014    0.111  0.069    0.027  0.006    0.046  0.014
1212.50   -0.205  0.226    0.010  0.014    0.112  0.070    0.027  0.006    0.046  0.015
1217.50   -0.205  0.225    0.010  0.014    0.113  0.072    0.027  0.006    0.047  0.015
1222.50   -0.205  0.223    0.010  0.014    0.113  0.073    0.028  0.006    0.048  0.016
1227.50   -0.205  0.222    0.011  0.015    0.114  0.074    0.028  0.006    0.049  0.016
1232.50   -0.205  0.221    0.011  0.015    0.115  0.076    0.028  0.007    0.049  0.016
1237.50   -0.204  0.220    0.011  0.015    0.115  0.077    0.028  0.007    0.050  0.017
1242.50   -0.204  0.218    0.011  0.016    0.116  0.079    0.029  0.007    0.051  0.017
1247.50   -0.204  0.217    0.011  0.016    0.117  0.080    0.029  0.007    0.052  0.018
1252.50   -0.204  0.216    0.011  0.016    0.118  0.082    0.029  0.007    0.052  0.018
1257.50   -0.204  0.215    0.011  0.017    0.118  0.083    0.029  0.007    0.053  0.019
1262.50   -0.203  0.213    0.011  0.017    0.119  0.085    0.029  0.008    0.054  0.019
1267.50   -0.203  0.212    0.011  0.017    0.119  0.086    0.030  0.008    0.055  0.020
1272.50   -0.203  0.211    0.011  0.017    0.120  0.088    0.030  0.008    0.055  0.020
1277.50   -0.203  0.209    0.011  0.018    0.121  0.090    0.030  0.008    0.056  0.021
1282.50   -0.202  0.208    0.011  0.018    0.121  0.091    0.030  0.008    0.057  0.021
1287.50   -0.202  0.207    0.011  0.018    0.122  0.093    0.031  0.008    0.058  0.022
1292.50   -0.202  0.205    0.011  0.019    0.122  0.094    0.031  0.009    0.059  0.022
1297.50   -0.201  0.204    0.011  0.019    0.123  0.096    0.031  0.009    0.059  0.023
1302.50   -0.201  0.203    0.011  0.019    0.123  0.098    0.031  0.009    0.060  0.023
1307.50   -0.201  0.201    0.011  0.020    0.124  0.099    0.032  0.009    0.061  0.024
1312.50   -0.200  0.200    0.011  0.020    0.124  0.101    0.032  0.009    0.062  0.025
1317.50   -0.200  0.199    0.011  0.020    0.125  0.103    0.032  0.010    0.063  0.025
1322.50   -0.199  0.198    0.011  0.021    0.125  0.105    0.032  0.010    0.064  0.026
1327.50   -0.199  0.196    0.011  0.021    0.125  0.106    0.033  0.010    0.064  0.026
1332.50   -0.198  0.195    0.011  0.021    0.126  0.108    0.033  0.010    0.065  0.027
1337.50   -0.198  0.194    0.011  0.022    0.126  0.110    0.033  0.010    0.066  0.028
1342.50   -0.197  0.193    0.011  0.022    0.126  0.112    0.033  0.011    0.067  0.028
1347.50   -0.197  0.191    0.011  0.022    0.127  0.114    0.034  0.011    0.068  0.029
1352.50   -0.196  0.190    0.011  0.023    0.127  0.115    0.034  0.011    0.069  0.030
1357.50   -0.196  0.189    0.010  0.023    0.127  0.117    0.034  0.011    0.070  0.031
1362.50   -0.195  0.188    0.010  0.024    0.127  0.119    0.034  0.012    0.070  0.031
1367.50   -0.194  0.187    0.010  0.024    0.127  0.121    0.035  0.012    0.071  0.032
1372.50   -0.194  0.185    0.010  0.024    0.128  0.123    0.035  0.012    0.072  0.033
1377.50   -0.193  0.184    0.010  0.025    0.128  0.125    0.035  0.012    0.073  0.034
1382.50   -0.192  0.183    0.010  0.025    0.128  0.126    0.035  0.013    0.074  0.034
1387.50   -0.192  0.182    0.010  0.025    0.128  0.128    0.036  0.013    0.075  0.035
1392.50   -0.191  0.181    0.010  0.026    0.128  0.130    0.036  0.013    0.076  0.036
1397.50   -0.190  0.180    0.010  0.026    0.128  0.132    0.036  0.013    0.077  0.037
1402.50   -0.190  0.179    0.010  0.026    0.128  0.134    0.037  0.014    0.078  0.038
1407.50   -0.189  0.178    0.010  0.027    0.128  0.136    0.037  0.014    0.079  0.039
1412.50   -0.188  0.177    0.010  0.027    0.128  0.138    0.037  0.014    0.079  0.040
1417.50   -0.187  0.176    0.010  0.028    0.127  0.140    0.037  0.014    0.080  0.041
1422.50   -0.187  0.175    0.010  0.028    0.127  0.142    0.038  0.015    0.081  0.041
1427.50   -0.186  0.174    0.010  0.028    0.127  0.144    0.038  0.015    0.082  0.042
1432.50   -0.185  0.173    0.009  0.029    0.127  0.146    0.038  0.015    0.083  0.043
1437.50   -0.184  0.172    0.009  0.029    0.127  0.148    0.038  0.016    0.084  0.044
1442.50   -0.183  0.171    0.009  0.030    0.126  0.150    0.039  0.016    0.085  0.045
1447.50   -0.182  0.170    0.009  0.030    0.126  0.151    0.039  0.016    0.086  0.046
1452.50   -0.182  0.170    0.009  0.030    0.126  0.153    0.039  0.017    0.087  0.048
1457.50   -0.181  0.169    0.009  0.031    0.125  0.155    0.039  0.017    0.088  0.049
1462.50   -0.180  0.168    0.009  0.031    0.125  0.157    0.040  0.017    0.088  0.050
1467.50   -0.179  0.167    0.009  0.032    0.124  0.159    0.040  0.018    0.089  0.051
1472.50   -0.178  0.166    0.008  0.032    0.124  0.161    0.040  0.018    0.090  0.052
1477.50   -0.177  0.166    0.008  0.032    0.123  0.163    0.040  0.018    0.091  0.053
1482.50   -0.176  0.165    0.008  0.033    0.123  0.165    0.041  0.019    0.092  0.054
1487.50   -0.176  0.164    0.008  0.033    0.122  0.167    0.041  0.019    0.093  0.056
1492.50   -0.175  0.164    0.008  0.034    0.121  0.169    0.041  0.019    0.094  0.057
1497.50   -0.174  0.163    0.008  0.034    0.121  0.171    0.041  0.020    0.095  0.058
1502.50   -0.173  0.162    0.008  0.034    0.120  0.173    0.042  0.020    0.096  0.059
1507.50   -0.172  0.162    0.007  0.035    0.119  0.174    0.042  0.021    0.096  0.061
1512.50   -0.171  0.161    0.007  0.035    0.118  0.176    0.042  0.021    0.097  0.062
1517.50   -0.170  0.161    0.007  0.036    0.118  0.178    0.042  0.021    0.098  0.063
1522.50   -0.169  0.160    0.007  0.036    0.117  0.180    0.043  0.022    0.099  0.065
1527.50   -0.168  0.159    0.007  0.036    0.116  0.182    0.043  0.022    0.100  0.066
1532.50   -0.167  0.159    0.007  0.037    0.115  0.184    0.043  0.023    0.101  0.067
1537.50   -0.167  0.158    0.006  0.037    0.114  0.185    0.043  0.023    0.101  0.069
1542.50   -0.166  0.158    0.006  0.038    0.113  0.187    0.043  0.024    0.102  0.070
1547.50   -0.165  0.157    0.006  0.038    0.112  0.189    0.044  0.024    0.103  0.072
1552.50   -0.164  0.157    0.006  0.039    0.111  0.191    0.044  0.024    0.104  0.073
1557.50   -0.163  0.156    0.006  0.039    0.110  0.192    0.044  0.025    0.105  0.075
1562.50   -0.162  0.156    0.005  0.039    0.109  0.194    0.044  0.025    0.105  0.076
1567.50   -0.161  0.156    0.005  0.040    0.108  0.196    0.045  0.026    0.106  0.078
1572.50   -0.160  0.155    0.005  0.040    0.106  0.197    0.045  0.026    0.107  0.079
1577.50   -0.159  0.155    0.005  0.041    0.105  0.199    0.045  0.027    0.107  0.081
1582.50   -0.158  0.155    0.004  0.041    0.104  0.200    0.045  0.027    0.108  0.082
1587.50   -0.157  0.154    0.004  0.042    0.103  0.202    0.045  0.028    0.109  0.084
1592.50   -0.157  0.154    0.004  0.042    0.101  0.204    0.046  0.028    0.110  0.086
1597.50   -0.156  0.154    0.004  0.042    0.100  0.205    0.046  0.029    0.110  0.087
1602.50   -0.155  0.153    0.003  0.043    0.099  0.207    0.046  0.029    0.111  0.089
1607.50   -0.154  0.153    0.003  0.043    0.097  0.208    0.046  0.030    0.111  0.091
1612.50   -0.153  0.153    0.003  0.044    0.096  0.209    0.046  0.031    0.112  0.093
1617.50   -0.152  0.152    0.003  0.044    0.094  0.211    0.046  0.031    0.113  0.094
1622.50   -0.151  0.152    0.002  0.045    0.093  0.212    0.047  0.032    0.113  0.096
1627.50   -0.150  0.152    0.002  0.045    0.091  0.214    0.047  0.032    0.114  0.098
1632.50   -0.149  0.152    0.002  0.045    0.090  0.215    0.047  0.033    0.114  0.100
1637.50   -0.149  0.152    0.002  0.046    0.088  0.216    0.047  0.033    0.115  0.102
1642.50   -0.148  0.151    0.001  0.046    0.087  0.217    0.047  0.034    0.115  0.103
1647.50   -0.147  0.151    0.001  0.047    0.085  0.219    0.047  0.035    0.115  0.105
1652.50   -0.146  0.151    0.001  0.047    0.084  0.220    0.047  0.035    0.116  0.107
1657.50   -0.145  0.151    0.000  0.048    0.082  0.221    0.047  0.036    0.116  0.109
1662.50   -0.144  0.151    0.000  0.048    0.080  0.222    0.048  0.037    0.117  0.111
1667.50   -0.143  0.151    0.000  0.048    0.079  0.223    0.048  0.037    0.117  0.113
1672.50   -0.143  0.151    0.000  0.049    0.077  0.224    0.048  0.038    0.117  0.115
1677.50   -0.142  0.151   -0.001  0.049    0.075  0.225    0.048  0.038    0.118  0.117
1682.50   -0.141  0.150   -0.001  0.050    0.074  0.226    0.048  0.039    0.118  0.119
1687.50   -0.140  0.150   -0.001  0.050    0.072  0.227    0.048  0.040    0.118  0.121
1692.50   -0.139  0.150   -0.002  0.051    0.070  0.228    0.048  0.040    0.118  0.123
1697.50   -0.139  0.150   -0.002  0.051    0.068  0.229    0.048  0.041    0.118  0.125
1702.50   -0.138  0.150   -0.002  0.051    0.067  0.230    0.048  0.042    0.118  0.127
1707.50   -0.137  0.150   -0.003  0.052    0.065  0.230    0.048  0.042    0.119  0.129
1712.50   -0.136  0.150   -0.003  0.052    0.063  0.231    0.048  0.043    0.119  0.131
1717.50   -0.135  0.150   -0.003  0.053    0.061  0.232    0.048  0.044    0.119  0.133
1722.50   -0.135  0.150   -0.004  0.053    0.060  0.232    0.048  0.045    0.119  0.135
1727.50   -0.134  0.150   -0.004  0.053    0.058  0.233    0.048  0.045    0.119  0.137
1732.50   -0.133  0.150   -0.004  0.054    0.056  0.234    0.048  0.046    0.118  0.139
1737.50   -0.132  0.150   -0.005  0.054    0.054  0.234    0.048  0.047    0.118  0.141
1742.50   -0.132  0.150   -0.005  0.055    0.053  0.235    0.048  0.048    0.118  0.143
1747.50   -0.131  0.151   -0.006  0.055    0.051  0.235    0.048  0.048    0.118  0.145
1752.50   -0.130  0.151   -0.006  0.056    0.049  0.236    0.048  0.049    0.118  0.148
1757.50   -0.130  0.151   -0.006  0.056    0.047  0.236    0.048  0.050    0.118  0.150
1762.50   -0.129  0.151   -0.007  0.056    0.045  0.236    0.048  0.051    0.117  0.152
1767.50   -0.128  0.151   -0.007  0.057    0.044  0.237    0.047  0.051    0.117  0.154
1772.50   -0.128  0.151   -0.007  0.057    0.042  0.237    0.047  0.052    0.117  0.156
1777.50   -0.127  0.151   -0.008  0.058    0.040  0.237    0.047  0.053    0.116  0.158
1782.50   -0.126  0.151   -0.008  0.058    0.038  0.237    0.047  0.054    0.116  0.160
1787.50   -0.126  0.151   -0.009  0.059    0.036  0.238    0.047  0.054    0.115  0.162
1792.50   -0.125  0.151   -0.009  0.059    0.035  0.238    0.047  0.055    0.115  0.164
1797.50   -0.124  0.152   -0.009  0.059    0.033  0.238    0.046  0.056    0.114  0.166
1802.50   -0.124  0.152   -0.010  0.060    0.031  0.238    0.046  0.057    0.114  0.168
1807.50   -0.123  0.152   -0.010  0.060    0.029  0.238    0.046  0.057    0.113  0.170
1812.50   -0.122  0.152   -0.011  0.061    0.028  0.238    0.046  0.058    0.112  0.173
1817.50   -0.122  0.152   -0.011  0.061    0.026  0.238    0.045  0.059    0.112  0.175
1822.50   -0.121  0.152   -0.011  0.061    0.024  0.238    0.045  0.060    0.111  0.177
1827.50   -0.121  0.153   -0.012  0.062    0.023  0.238    0.045  0.061    0.110  0.179
1832.50   -0.120  0.153   -0.012  0.062    0.021  0.238    0.044  0.061    0.109  0.181
1837.50   -0.119  0.153   -0.013  0.063    0.019  0.238    0.044  0.062    0.108  0.183
1842.50   -0.119  0.153   -0.013  0.063    0.018  0.238    0.044  0.063    0.108  0.185
1847.50   -0.118  0.153   -0.014  0.063    0.016  0.237    0.043  0.064    0.107  0.187
1852.50   -0.118  0.154   -0.014  0.064    0.014  0.237    0.043  0.064    0.106  0.188
1857.50   -0.117  0.154   -0.014  0.064    0.013  0.237    0.042  0.065    0.105  0.190
1862.50   -0.117  0.154   -0.015  0.065    0.011  0.237    0.042  0.066    0.104  0.192
1867.50   -0.116  0.154   -0.015  0.065    0.009  0.236    0.042  0.067    0.103  0.194
1872.50   -0.116  0.155   -0.016  0.065    0.008  0.236    0.041  0.068    0.101  0.196
1877.50   -0.115  0.155   -0.016  0.066    0.006  0.236    0.041  0.068    0.100  0.198
1882.50   -0.115  0.155   -0.017  0.066    0.005  0.235    0.040  0.069    0.099  0.200
1887.50   -0.114  0.155   -0.017  0.067    0.003  0.235    0.040  0.070    0.098  0.201
1892.50   -0.114  0.156   -0.018  0.067    0.002  0.234    0.039  0.071    0.097  0.203
1897.50   -0.113  0.156   -0.018  0.067    0.000  0.234    0.039  0.071    0.096  0.205
1902.50   -0.113  0.156   -0.019  0.068   -0.001  0.233    0.038  0.072    0.094  0.207
1907.50   -0.112  0.156   -0.019  0.068   -0.003  0.233    0.037  0.073    0.093  0.208
1912.50   -0.112  0.157   -0.020  0.069   -0.004  0.232    0.037  0.073    0.092  0.210
1917.50   -0.112  0.157   -0.020  0.069   -0.006  0.232    0.036  0.074    0.090  0.211
1922.50   -0.111  0.157   -0.021  0.069   -0.007  0.231    0.036  0.075    0.089  0.213
1927.50   -0.111  0.158   -0.021  0.070   -0.008  0.231    0.035  0.075    0.088  0.215
1932.50   -0.110  0.158   -0.021  0.070   -0.010  0.230    0.034  0.076    0.086  0.216
1937.50   -0.110  0.158   -0.022  0.070   -0.011  0.229    0.034  0.077    0.085  0.218
1942.50   -0.110  0.158   -0.022  0.071   -0.012  0.229    0.033  0.077    0.083  0.219
1947.50   -0.109  0.159   -0.023  0.071   -0.014  0.228    0.032  0.078    0.082  0.220
1952.50   -0.109  0.159   -0.023  0.072   -0.015  0.227    0.032  0.079    0.080  0.222
1957.50   -0.109  0.159   -0.024  0.072   -0.016  0.227    0.031  0.079    0.079  0.223
1962.50   -0.108  0.160   -0.024  0.072   -0.018  0.226    0.030  0.080    0.077  0.224
1967.50   -0.108  0.160   -0.025  0.073   -0.019  0.225    0.029  0.080    0.076  0.226
1972.50   -0.108  0.160   -0.025  0.073   -0.020  0.224    0.029  0.081    0.074  0.227
1977.50   -0.107  0.160   -0.026  0.074   -0.021  0.224    0.028  0.082    0.072  0.228
1982.50   -0.107  0.161   -0.026  0.074   -0.022  0.223    0.027  0.082    0.071  0.229
1987.50   -0.107  0.161   -0.027  0.074   -0.023  0.222    0.026  0.083    0.069  0.230
1992.50   -0.106  0.161   -0.027  0.075   -0.025  0.221    0.025  0.083    0.067  0.232
1997.50   -0.106  0.162   -0.028  0.075   -0.026  0.220    0.025  0.084    0.066  0.233
2002.50   -0.106  0.162   -0.029  0.075   -0.027  0.220    0.024  0.084    0.064  0.234
2007.50   -0.106  0.162   -0.029  0.076   -0.028  0.219    0.023  0.084    0.063  0.235
2012.50   -0.105  0.163   -0.030  0.076   -0.029  0.218    0.022  0.085    0.061  0.236
2017.50   -0.105  0.163   -0.030  0.076   -0.030  0.217    0.021  0.085    0.059  0.236
2022.50   -0.105  0.163   -0.031  0.077   -0.031  0.216    0.020  0.086    0.057  0.237
2027.50   -0.105  0.164   -0.031  0.077   -0.032  0.215    0.019  0.086    0.056  0.238
2032.50   -0.104  0.164   -0.032  0.078   -0.033  0.214    0.019  0.087    0.054  0.239
2037.50   -0.104  0.164   -0.032  0.078   -0.034  0.214    0.018  0.087    0.052  0.240
2042.50   -0.104  0.165   -0.033  0.078   -0.035  0.213    0.017  0.087    0.051  0.240
2047.50   -0.104  0.165   -0.033  0.079   -0.036  0.212    0.016  0.088    0.049  0.241
2052.50   -0.104  0.165   -0.034  0.079   -0.036  0.211    0.015  0.088    0.047  0.242
2057.50   -0.104  0.166   -0.034  0.079   -0.037  0.210    0.014  0.088    0.045  0.242
2062.50   -0.103  0.166   -0.035  0.080   -0.038  0.209    0.013  0.088    0.044  0.243
2067.50   -0.103  0.166   -0.035  0.080   -0.039  0.208    0.012  0.089    0.042  0.243
2072.50   -0.103  0.167   -0.036  0.080   -0.040  0.207    0.011  0.089    0.040  0.244
2077.50   -0.103  0.167   -0.037  0.081   -0.041  0.206    0.010  0.089    0.039  0.244
2082.50   -0.103  0.167   -0.037  0.081   -0.041  0.205    0.010  0.089    0.037  0.245
2087.50   -0.103  0.168   -0.038  0.081   -0.042  0.204    0.009  0.089    0.035  0.245
2092.50   -0.103  0.168   -0.038  0.082   -0.043  0.203    0.008  0.090    0.034  0.246
2097.50   -0.103  0.168   -0.039  0.082   -0.043  0.202    0.007  0.090    0.032  0.246
2102.50   -0.103  0.169   -0.039  0.082   -0.044  0.201    0.006  0.090    0.030  0.246
2107.50   -0.102  0.169   -0.040  0.083   -0.045  0.200    0.005  0.090    0.028  0.246
2112.50   -0.102  0.169   -0.040  0.083   -0.045  0.199    0.004  0.090    0.027  0.247
2117.50   -0.102  0.170   -0.041  0.083   -0.046  0.198    0.003  0.090    0.025  0.247
2122.50   -0.102  0.170   -0.042  0.084   -0.047  0.197    0.002  0.090    0.024  0.247
2127.50   -0.102  0.170   -0.042  0.084   -0.047  0.196    0.001  0.090    0.022  0.247
2132.50   -0.102  0.171   -0.043  0.084   -0.048  0.195    0.000  0.090    0.020  0.247
2137.50   -0.102  0.171   -0.043  0.085   -0.048  0.195    0.000  0.090    0.019  0.247
2142.50   -0.102  0.171   -0.044  0.085   -0.049  0.194   -0.001  0.090    0.017  0.247
2147.50   -0.102  0.172   -0.044  0.085   -0.050  0.193   -0.002  0.090    0.015  0.247
2152.50   -0.102  0.172   -0.045  0.086   -0.050  0.192   -0.003  0.090    0.014  0.247
2157.50   -0.102  0.172   -0.046  0.086   -0.051  0.191   -0.004  0.090    0.012  0.247
2162.50   -0.102  0.173   -0.046  0.086   -0.051  0.190   -0.005  0.090    0.011  0.247
2167.50   -0.102  0.173   -0.047  0.087   -0.052  0.189   -0.006  0.090    0.009  0.247
2172.50   -0.102  0.173   -0.047  0.087   -0.052  0.188   -0.007  0.090    0.008  0.247
2177.50   -0.102  0.173   -0.048  0.087   -0.052  0.187   -0.007  0.090    0.006  0.247
2182.50   -0.102  0.174   -0.049  0.088   -0.053  0.186   -0.008  0.090    0.005  0.246
2187.50   -0.102  0.174   -0.049  0.088   -0.053  0.185   -0.009  0.089    0.003  0.246
2192.50   -0.102  0.174   -0.050  0.088   -0.054  0.184   -0.010  0.089    0.002  0.246
2197.50   -0.103  0.175   -0.050  0.089   -0.054  0.183   -0.011  0.089    0.000  0.246
2202.50   -0.103  0.175   -0.051  0.089   -0.054  0.182   -0.011  0.089   -0.001  0.245
2207.50   -0.103  0.175   -0.051  0.089   -0.055  0.181   -0.012  0.089   -0.002  0.245
2212.50   -0.103  0.176   -0.052  0.090   -0.055  0.180   -0.013  0.089   -0.004  0.245
2217.50   -0.103  0.176   -0.053  0.090   -0.055  0.179   -0.014  0.088   -0.005  0.244
2222.50   -0.103  0.176   -0.053  0.090   -0.056  0.178   -0.015  0.088   -0.006  0.244
2227.50   -0.103  0.177   -0.054  0.091   -0.056  0.177   -0.015  0.088   -0.008  0.243
2232.50   -0.103  0.177   -0.054  0.091   -0.056  0.176   -0.016  0.088   -0.009  0.243
2237.50   -0.103  0.177   -0.055  0.091   -0.057  0.175   -0.017  0.087   -0.010  0.242
2242.50   -0.104  0.178   -0.056  0.092   -0.057  0.174   -0.018  0.087   -0.012  0.242
2247.50   -0.104  0.178   -0.056  0.092   -0.057  0.173   -0.018  0.087   -0.013  0.242
2252.50   -0.104  0.178   -0.057  0.092   -0.057  0.172   -0.019  0.087   -0.014  0.241
2257.50   -0.104  0.178   -0.057  0.092   -0.057  0.171   -0.020  0.086   -0.015  0.240
2262.50   -0.104  0.179   -0.058  0.093   -0.058  0.170   -0.020  0.086   -0.016  0.240
2267.50   -0.104  0.179   -0.059  0.093   -0.058  0.169   -0.021  0.086   -0.018  0.239
2272.50   -0.105  0.179   -0.059  0.093   -0.058  0.168   -0.022  0.085   -0.019  0.239
2277.50   -0.105  0.180   -0.060  0.094   -0.058  0.167   -0.022  0.085   -0.020  0.238
2282.50   -0.105  0.180   -0.060  0.094   -0.058  0.166   -0.023  0.085   -0.021  0.237
2287.50   -0.105  0.180   -0.061  0.094   -0.059  0.166   -0.024  0.084   -0.022  0.237
2292.50   -0.105  0.180   -0.062  0.095   -0.059  0.165   -0.024  0.084   -0.023  0.236
2297.50   -0.106  0.181   -0.062  0.095   -0.059  0.164   -0.025  0.084   -0.024  0.236
2302.50   -0.106  0.181   -0.063  0.095   -0.059  0.163   -0.026  0.083   -0.025  0.235
2307.50   -0.106  0.181   -0.064  0.095   -0.059  0.162   -0.026  0.083   -0.026  0.234
2312.50   -0.106  0.182   -0.064  0.096   -0.059  0.161   -0.027  0.083   -0.027  0.233
2317.50   -0.107  0.182   -0.065  0.096   -0.059  0.160   -0.027  0.082   -0.028  0.233
2322.50   -0.107  0.182   -0.065  0.096   -0.059  0.159   -0.028  0.082   -0.029  0.232
2327.50   -0.107  0.182   -0.066  0.097   -0.059  0.158   -0.029  0.082   -0.030  0.231
2332.50   -0.107  0.183   -0.067  0.097   -0.059  0.157   -0.029  0.081   -0.031  0.230
2337.50   -0.108  0.183   -0.067  0.097   -0.060  0.156   -0.030  0.081   -0.032  0.230
2342.50   -0.108  0.183   -0.068  0.098   -0.060  0.156   -0.030  0.081   -0.033  0.229
2347.50   -0.108  0.183   -0.068  0.098   -0.060  0.155   -0.031  0.080   -0.033  0.228
2352.50   -0.109  0.184   -0.069  0.098   -0.060  0.154   -0.031  0.080   -0.034  0.227
2357.50   -0.109  0.184   -0.070  0.098   -0.060  0.153   -0.032  0.079   -0.035  0.226
2362.50   -0.109  0.184   -0.070  0.099   -0.060  0.152   -0.032  0.079   -0.036  0.226
2367.50   -0.109  0.185   -0.071  0.099   -0.060  0.151   -0.033  0.079   -0.037  0.225
2372.50   -0.110  0.185   -0.072  0.099   -0.060  0.150   -0.033  0.078   -0.037  0.224
2377.50   -0.110  0.185   -0.072  0.100   -0.060  0.150   -0.034  0.078   -0.038  0.223
2382.50   -0.110  0.185   -0.073  0.100   -0.060  0.149   -0.034  0.078   -0.039  0.222
2387.50   -0.111  0.186   -0.073  0.100   -0.060  0.148   -0.035  0.077   -0.039  0.221
2392.50   -0.111  0.186   -0.074  0.100   -0.060  0.147   -0.035  0.077   -0.040  0.220
2397.50   -0.112  0.186   -0.075  0.101   -0.060  0.146   -0.036  0.076   -0.041  0.220
2402.50   -0.112  0.186   -0.075  0.101   -0.059  0.145   -0.036  0.076   -0.041  0.219
2407.50   -0.112  0.186   -0.076  0.101   -0.059  0.145   -0.036  0.076   -0.042  0.218
2412.50   -0.113  0.187   -0.077  0.102   -0.059  0.144   -0.037  0.075   -0.043  0.217
2417.50   -0.113  0.187   -0.077  0.102   -0.059  0.143   -0.037  0.075   -0.043  0.216
2422.50   -0.113  0.187   -0.078  0.102   -0.059  0.142   -0.038  0.074   -0.044  0.215
2427.50   -0.114  0.187   -0.078  0.102   -0.059  0.141   -0.038  0.074   -0.044  0.214
2432.50   -0.114  0.188   -0.079  0.103   -0.059  0.141   -0.038  0.074   -0.045  0.213
2437.50   -0.115  0.188   -0.080  0.103   -0.059  0.140   -0.039  0.073   -0.045  0.212
2442.50   -0.115  0.188   -0.080  0.103   -0.059  0.139   -0.039  0.073   -0.046  0.211
2447.50   -0.115  0.188   -0.081  0.104   -0.059  0.138   -0.039  0.072   -0.046  0.210
2452.50   -0.116  0.189   -0.082  0.104   -0.059  0.137   -0.040  0.072   -0.047  0.209
2457.50   -0.116  0.189   -0.082  0.104   -0.058  0.137   -0.040  0.072   -0.047  0.209
2462.50   -0.117  0.189   -0.083  0.104   -0.058  0.136   -0.041  0.071   -0.047  0.208
2467.50   -0.117  0.189   -0.084  0.105   -0.058  0.135   -0.041  0.071   -0.048  0.207
2472.50   -0.118  0.189   -0.084  0.105   -0.058  0.134   -0.041  0.071   -0.048  0.206
2477.50   -0.118  0.190   -0.085  0.105   -0.058  0.134   -0.041  0.070   -0.048  0.205
2482.50   -0.119  0.190   -0.085  0.105   -0.058  0.133   -0.042  0.070   -0.049  0.204
2487.50   -0.119  0.190   -0.086  0.106   -0.058  0.132   -0.042  0.069   -0.049  0.203
2492.50   -0.119  0.190   -0.087  0.106   -0.057  0.131   -0.042  0.069   -0.049  0.202
2497.50   -0.120  0.191   -0.087  0.106   -0.057  0.131   -0.043  0.069   -0.050  0.201
2502.50   -0.120  0.191   -0.088  0.107   -0.057  0.130   -0.043  0.068   -0.050  0.200
2507.50   -0.121  0.191   -0.089  0.107   -0.057  0.129   -0.043  0.068   -0.050  0.199
2512.50   -0.121  0.191   -0.089  0.107   -0.057  0.128   -0.044  0.067   -0.050  0.198
2517.50   -0.122  0.191   -0.090  0.107   -0.057  0.128   -0.044  0.067   -0.050  0.197
2522.50   -0.122  0.192   -0.091  0.108   -0.056  0.127   -0.044  0.067   -0.051  0.196
2527.50   -0.123  0.192   -0.091  0.108   -0.056  0.126   -0.044  0.066   -0.051  0.195
2532.50   -0.123  0.192   -0.092  0.108   -0.056  0.126   -0.045  0.066   -0.051  0.194
2537.50   -0.124  0.192   -0.092  0.109   -0.056  0.125   -0.045  0.066   -0.051  0.193
2542.50   -0.125  0.192   -0.093  0.109   -0.056  0.124   -0.045  0.065   -0.051  0.192
2547.50   -0.125  0.193   -0.094  0.109   -0.055  0.124   -0.045  0.065   -0.051  0.191
2552.50   -0.126  0.193   -0.094  0.109   -0.055  0.123   -0.046  0.065   -0.051  0.190
2557.50   -0.126  0.193   -0.095  0.110   -0.055  0.122   -0.046  0.064   -0.051  0.189
2562.50   -0.127  0.193   -0.096  0.110   -0.055  0.121   -0.046  0.064   -0.052  0.188
2567.50   -0.127  0.193   -0.096  0.110   -0.055  0.121   -0.046  0.064   -0.052  0.187
2572.50   -0.128  0.194   -0.097  0.110   -0.054  0.120   -0.047  0.063   -0.052  0.186
2577.50   -0.128  0.194   -0.098  0.111   -0.054  0.120   -0.047  0.063   -0.052  0.185
2582.50   -0.129  0.194   -0.098  0.111   -0.054  0.119   -0.047  0.062   -0.052  0.184
2587.50   -0.129  0.194   -0.099  0.111   -0.054  0.118   -0.047  0.062   -0.052  0.183
2592.50   -0.130  0.194   -0.100  0.111   -0.053  0.118   -0.047  0.062   -0.052  0.182
2597.50   -0.131  0.194   -0.100  0.112   -0.053  0.117   -0.048  0.061   -0.051  0.181

Tlab      5,1,11          6,1,11          6,1,13          7,1,13          7,1,15          
2.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
7.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
12.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
17.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
22.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
27.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
32.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
37.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
42.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
47.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
52.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
57.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
62.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
67.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
72.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
77.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
82.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
87.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
92.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
97.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
102.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
107.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
112.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
117.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
122.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
127.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
132.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
137.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
142.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
147.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
152.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
157.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
162.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
167.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
172.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
177.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
182.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
187.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
192.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
197.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
202.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
207.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
212.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
217.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
222.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
227.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
232.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
237.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
242.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
247.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
252.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
257.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
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1517.50   -0.001  0.001    0.026  0.013   -0.002  0.002    0.008  0.003   -0.001  0.002
1522.50   -0.001  0.001    0.026  0.013   -0.003  0.002    0.009  0.003   -0.001  0.002
1527.50   -0.001  0.001    0.026  0.014   -0.003  0.002    0.009  0.003   -0.001  0.002
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1542.50   -0.001  0.002    0.026  0.014   -0.003  0.002    0.009  0.003   -0.001  0.002
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1567.50   -0.001  0.002    0.027  0.016   -0.003  0.003    0.009  0.004   -0.002  0.002
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1817.50   -0.002  0.008    0.029  0.030   -0.008  0.004    0.013  0.009   -0.006  0.005
1822.50   -0.002  0.008    0.029  0.030   -0.008  0.004    0.013  0.009   -0.007  0.005
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1832.50   -0.002  0.009    0.029  0.031   -0.008  0.004    0.013  0.009   -0.007  0.005
1837.50   -0.002  0.009    0.029  0.031   -0.008  0.004    0.013  0.009   -0.007  0.005
1842.50   -0.002  0.009    0.028  0.031   -0.008  0.004    0.013  0.010   -0.007  0.005
1847.50   -0.003  0.009    0.028  0.032   -0.008  0.004    0.013  0.010   -0.007  0.005
1852.50   -0.003  0.009    0.028  0.032   -0.008  0.004    0.013  0.010   -0.007  0.005
1857.50   -0.003  0.010    0.028  0.032   -0.008  0.004    0.014  0.010   -0.007  0.005
1862.50   -0.003  0.010    0.028  0.033   -0.008  0.005    0.014  0.010   -0.008  0.005
1867.50   -0.003  0.010    0.028  0.033   -0.009  0.005    0.014  0.010   -0.008  0.006
1872.50   -0.003  0.010    0.028  0.033   -0.009  0.005    0.014  0.011   -0.008  0.006
1877.50   -0.003  0.011    0.028  0.034   -0.009  0.005    0.014  0.011   -0.008  0.006
1882.50   -0.004  0.011    0.028  0.034   -0.009  0.005    0.014  0.011   -0.008  0.006
1887.50   -0.004  0.011    0.028  0.034   -0.009  0.005    0.014  0.011   -0.008  0.006
1892.50   -0.004  0.011    0.028  0.035   -0.009  0.005    0.014  0.011   -0.008  0.006
1897.50   -0.004  0.012    0.028  0.035   -0.009  0.005    0.014  0.011   -0.008  0.006
1902.50   -0.004  0.012    0.028  0.035   -0.009  0.005    0.014  0.012   -0.009  0.006
1907.50   -0.005  0.012    0.028  0.036   -0.010  0.005    0.014  0.012   -0.009  0.006
1912.50   -0.005  0.012    0.027  0.036   -0.010  0.005    0.014  0.012   -0.009  0.006
1917.50   -0.005  0.013    0.027  0.036   -0.010  0.005    0.014  0.012   -0.009  0.006
1922.50   -0.005  0.013    0.027  0.037   -0.010  0.005    0.015  0.012   -0.009  0.007
1927.50   -0.006  0.013    0.027  0.037   -0.010  0.005    0.015  0.012   -0.009  0.007
1932.50   -0.006  0.013    0.027  0.037   -0.010  0.005    0.015  0.013   -0.009  0.007
1937.50   -0.006  0.013    0.027  0.038   -0.010  0.005    0.015  0.013   -0.010  0.007
1942.50   -0.006  0.014    0.027  0.038   -0.010  0.005    0.015  0.013   -0.010  0.007
1947.50   -0.007  0.014    0.027  0.038   -0.010  0.005    0.015  0.013   -0.010  0.007
1952.50   -0.007  0.014    0.027  0.038   -0.011  0.005    0.015  0.013   -0.010  0.007
1957.50   -0.007  0.014    0.026  0.039   -0.011  0.005    0.015  0.013   -0.010  0.007
1962.50   -0.008  0.014    0.026  0.039   -0.011  0.005    0.015  0.014   -0.010  0.007
1967.50   -0.008  0.015    0.026  0.039   -0.011  0.005    0.015  0.014   -0.010  0.007
1972.50   -0.008  0.015    0.026  0.040   -0.011  0.005    0.015  0.014   -0.011  0.007
1977.50   -0.009  0.015    0.026  0.040   -0.011  0.005    0.015  0.014   -0.011  0.008
1982.50   -0.009  0.015    0.026  0.040   -0.011  0.005    0.015  0.014   -0.011  0.008
1987.50   -0.010  0.015    0.026  0.041   -0.011  0.005    0.015  0.015   -0.011  0.008
1992.50   -0.010  0.015    0.025  0.041   -0.012  0.005    0.016  0.015   -0.011  0.008
1997.50   -0.010  0.015    0.025  0.041   -0.012  0.005    0.016  0.015   -0.011  0.008
2002.50   -0.011  0.015    0.025  0.042   -0.012  0.005    0.016  0.015   -0.012  0.008
2007.50   -0.011  0.016    0.025  0.042   -0.012  0.005    0.016  0.015   -0.012  0.008
2012.50   -0.011  0.016    0.025  0.042   -0.012  0.005    0.016  0.016   -0.012  0.008
2017.50   -0.012  0.016    0.025  0.043   -0.012  0.005    0.016  0.016   -0.012  0.008
2022.50   -0.012  0.016    0.025  0.043   -0.012  0.005    0.016  0.016   -0.012  0.009
2027.50   -0.013  0.016    0.024  0.043   -0.012  0.005    0.016  0.016   -0.012  0.009
2032.50   -0.013  0.016    0.024  0.044   -0.013  0.006    0.016  0.017   -0.013  0.009
2037.50   -0.013  0.016    0.024  0.044   -0.013  0.006    0.016  0.017   -0.013  0.009
2042.50   -0.014  0.016    0.024  0.044   -0.013  0.006    0.016  0.017   -0.013  0.009
2047.50   -0.014  0.016    0.024  0.045   -0.013  0.006    0.016  0.017   -0.013  0.009
2052.50   -0.014  0.016    0.024  0.045   -0.013  0.006    0.016  0.017   -0.013  0.009
2057.50   -0.015  0.016    0.023  0.045   -0.013  0.006    0.016  0.018   -0.013  0.009
2062.50   -0.015  0.016    0.023  0.045   -0.013  0.006    0.017  0.018   -0.014  0.009
2067.50   -0.015  0.016    0.023  0.046   -0.013  0.006    0.017  0.018   -0.014  0.010
2072.50   -0.016  0.016    0.023  0.046   -0.014  0.006    0.017  0.018   -0.014  0.010
2077.50   -0.016  0.015    0.023  0.046   -0.014  0.006    0.017  0.019   -0.014  0.010
2082.50   -0.017  0.015    0.022  0.047   -0.014  0.006    0.017  0.019   -0.014  0.010
2087.50   -0.017  0.015    0.022  0.047   -0.014  0.006    0.017  0.019   -0.014  0.010
2092.50   -0.017  0.015    0.022  0.047   -0.014  0.006    0.017  0.019   -0.015  0.010
2097.50   -0.017  0.015    0.022  0.048   -0.014  0.006    0.017  0.020   -0.015  0.010
2102.50   -0.018  0.015    0.022  0.048   -0.014  0.006    0.017  0.020   -0.015  0.010
2107.50   -0.018  0.015    0.021  0.048   -0.015  0.006    0.017  0.020   -0.015  0.011
2112.50   -0.018  0.015    0.021  0.049   -0.015  0.006    0.017  0.020   -0.015  0.011
2117.50   -0.019  0.015    0.021  0.049   -0.015  0.006    0.017  0.021   -0.015  0.011
2122.50   -0.019  0.015    0.021  0.049   -0.015  0.006    0.017  0.021   -0.016  0.011
2127.50   -0.019  0.014    0.020  0.049   -0.015  0.006    0.017  0.021   -0.016  0.011
2132.50   -0.020  0.014    0.020  0.050   -0.015  0.006    0.017  0.021   -0.016  0.011
2137.50   -0.020  0.014    0.020  0.050   -0.015  0.006    0.017  0.022   -0.016  0.011
2142.50   -0.020  0.014    0.020  0.050   -0.016  0.006    0.018  0.022   -0.016  0.012
2147.50   -0.020  0.014    0.019  0.051   -0.016  0.006    0.018  0.022   -0.017  0.012
2152.50   -0.021  0.014    0.019  0.051   -0.016  0.006    0.018  0.022   -0.017  0.012
2157.50   -0.021  0.014    0.019  0.051   -0.016  0.006    0.018  0.023   -0.017  0.012
2162.50   -0.021  0.013    0.019  0.052   -0.016  0.006    0.018  0.023   -0.017  0.012
2167.50   -0.021  0.013    0.019  0.052   -0.016  0.006    0.018  0.023   -0.017  0.012
2172.50   -0.022  0.013    0.018  0.052   -0.016  0.006    0.018  0.023   -0.017  0.012
2177.50   -0.022  0.013    0.018  0.052   -0.017  0.006    0.018  0.024   -0.018  0.012
2182.50   -0.022  0.013    0.018  0.053   -0.017  0.006    0.018  0.024   -0.018  0.013
2187.50   -0.022  0.013    0.017  0.053   -0.017  0.006    0.018  0.024   -0.018  0.013
2192.50   -0.022  0.013    0.017  0.053   -0.017  0.006    0.018  0.025   -0.018  0.013
2197.50   -0.023  0.012    0.017  0.054   -0.017  0.006    0.018  0.025   -0.018  0.013
2202.50   -0.023  0.012    0.017  0.054   -0.017  0.006    0.018  0.025   -0.019  0.013
2207.50   -0.023  0.012    0.016  0.054   -0.017  0.006    0.018  0.026   -0.019  0.013
2212.50   -0.023  0.012    0.016  0.054   -0.018  0.006    0.018  0.026   -0.019  0.014
2217.50   -0.023  0.012    0.016  0.055   -0.018  0.006    0.018  0.026   -0.019  0.014
2222.50   -0.023  0.012    0.016  0.055   -0.018  0.006    0.018  0.026   -0.019  0.014
2227.50   -0.024  0.012    0.015  0.055   -0.018  0.006    0.018  0.027   -0.020  0.014
2232.50   -0.024  0.011    0.015  0.056   -0.018  0.007    0.018  0.027   -0.020  0.014
2237.50   -0.024  0.011    0.015  0.056   -0.018  0.007    0.018  0.027   -0.020  0.014
2242.50   -0.024  0.011    0.015  0.056   -0.018  0.007    0.019  0.028   -0.020  0.014
2247.50   -0.024  0.011    0.014  0.056   -0.019  0.007    0.019  0.028   -0.020  0.015
2252.50   -0.024  0.011    0.014  0.057   -0.019  0.007    0.019  0.028   -0.021  0.015
2257.50   -0.024  0.011    0.014  0.057   -0.019  0.007    0.019  0.029   -0.021  0.015
2262.50   -0.025  0.011    0.013  0.057   -0.019  0.007    0.019  0.029   -0.021  0.015
2267.50   -0.025  0.011    0.013  0.057   -0.019  0.007    0.019  0.029   -0.021  0.015
2272.50   -0.025  0.010    0.013  0.058   -0.019  0.007    0.019  0.030   -0.021  0.015
2277.50   -0.025  0.010    0.012  0.058   -0.019  0.007    0.019  0.030   -0.022  0.016
2282.50   -0.025  0.010    0.012  0.058   -0.020  0.007    0.019  0.030   -0.022  0.016
2287.50   -0.025  0.010    0.012  0.059   -0.020  0.007    0.019  0.031   -0.022  0.016
2292.50   -0.025  0.010    0.012  0.059   -0.020  0.007    0.019  0.031   -0.022  0.016
2297.50   -0.026  0.010    0.011  0.059   -0.020  0.007    0.019  0.031   -0.023  0.016
2302.50   -0.026  0.010    0.011  0.059   -0.020  0.007    0.019  0.032   -0.023  0.016
2307.50   -0.026  0.010    0.011  0.060   -0.020  0.007    0.019  0.032   -0.023  0.017
2312.50   -0.026  0.010    0.010  0.060   -0.020  0.007    0.019  0.032   -0.023  0.017
2317.50   -0.026  0.009    0.010  0.060   -0.021  0.007    0.019  0.033   -0.023  0.017
2322.50   -0.026  0.009    0.010  0.060   -0.021  0.007    0.019  0.033   -0.024  0.017
2327.50   -0.026  0.009    0.009  0.061   -0.021  0.007    0.019  0.033   -0.024  0.017
2332.50   -0.026  0.009    0.009  0.061   -0.021  0.007    0.019  0.034   -0.024  0.018
2337.50   -0.026  0.009    0.009  0.061   -0.021  0.007    0.019  0.034   -0.024  0.018
2342.50   -0.027  0.009    0.008  0.061   -0.021  0.007    0.019  0.034   -0.025  0.018
2347.50   -0.027  0.009    0.008  0.062   -0.022  0.007    0.019  0.035   -0.025  0.018
2352.50   -0.027  0.009    0.008  0.062   -0.022  0.007    0.019  0.035   -0.025  0.018
2357.50   -0.027  0.009    0.007  0.062   -0.022  0.007    0.019  0.036   -0.025  0.018
2362.50   -0.027  0.009    0.007  0.062   -0.022  0.007    0.019  0.036   -0.025  0.019
2367.50   -0.027  0.008    0.007  0.063   -0.022  0.007    0.019  0.036   -0.026  0.019
2372.50   -0.027  0.008    0.006  0.063   -0.022  0.007    0.019  0.037   -0.026  0.019
2377.50   -0.027  0.008    0.006  0.063   -0.022  0.007    0.019  0.037   -0.026  0.019
2382.50   -0.027  0.008    0.006  0.063   -0.023  0.007    0.019  0.037   -0.026  0.019
2387.50   -0.027  0.008    0.005  0.064   -0.023  0.007    0.019  0.038   -0.027  0.020
2392.50   -0.028  0.008    0.005  0.064   -0.023  0.007    0.019  0.038   -0.027  0.020
2397.50   -0.028  0.008    0.005  0.064   -0.023  0.007    0.019  0.039   -0.027  0.020
2402.50   -0.028  0.008    0.004  0.064   -0.023  0.007    0.019  0.039   -0.027  0.020
2407.50   -0.028  0.008    0.004  0.065   -0.023  0.007    0.019  0.039   -0.028  0.020
2412.50   -0.028  0.008    0.004  0.065   -0.024  0.007    0.019  0.040   -0.028  0.021
2417.50   -0.028  0.008    0.003  0.065   -0.024  0.007    0.019  0.040   -0.028  0.021
2422.50   -0.028  0.008    0.003  0.065   -0.024  0.007    0.019  0.041   -0.028  0.021
2427.50   -0.028  0.007    0.003  0.065   -0.024  0.007    0.019  0.041   -0.029  0.021
2432.50   -0.028  0.007    0.002  0.066   -0.024  0.007    0.019  0.041   -0.029  0.021
2437.50   -0.028  0.007    0.002  0.066   -0.024  0.007    0.019  0.042   -0.029  0.022
2442.50   -0.028  0.007    0.001  0.066   -0.025  0.007    0.019  0.042   -0.029  0.022
2447.50   -0.029  0.007    0.001  0.066   -0.025  0.007    0.019  0.043   -0.030  0.022
2452.50   -0.029  0.007    0.001  0.067   -0.025  0.008    0.019  0.043   -0.030  0.022
2457.50   -0.029  0.007    0.000  0.067   -0.025  0.008    0.019  0.044   -0.030  0.023
2462.50   -0.029  0.007    0.000  0.067   -0.025  0.008    0.019  0.044   -0.030  0.023
2467.50   -0.029  0.007    0.000  0.067   -0.025  0.008    0.019  0.044   -0.030  0.023
2472.50   -0.029  0.007   -0.001  0.068   -0.026  0.008    0.019  0.045   -0.031  0.023
2477.50   -0.029  0.007   -0.001  0.068   -0.026  0.008    0.019  0.045   -0.031  0.023
2482.50   -0.029  0.007   -0.001  0.068   -0.026  0.008    0.019  0.046   -0.031  0.024
2487.50   -0.029  0.007   -0.002  0.068   -0.026  0.008    0.019  0.046   -0.032  0.024
2492.50   -0.029  0.007   -0.002  0.068   -0.026  0.008    0.019  0.047   -0.032  0.024
2497.50   -0.029  0.007   -0.003  0.069   -0.026  0.008    0.019  0.047   -0.032  0.024
2502.50   -0.029  0.007   -0.003  0.069   -0.027  0.008    0.019  0.047   -0.032  0.024
2507.50   -0.030  0.007   -0.003  0.069   -0.027  0.008    0.019  0.048   -0.033  0.025
2512.50   -0.030  0.006   -0.004  0.069   -0.027  0.008    0.019  0.048   -0.033  0.025
2517.50   -0.030  0.006   -0.004  0.069   -0.027  0.008    0.019  0.049   -0.033  0.025
2522.50   -0.030  0.006   -0.004  0.070   -0.027  0.008    0.019  0.049   -0.033  0.025
2527.50   -0.030  0.006   -0.005  0.070   -0.027  0.008    0.019  0.050   -0.034  0.026
2532.50   -0.030  0.006   -0.005  0.070   -0.028  0.008    0.019  0.050   -0.034  0.026
2537.50   -0.030  0.006   -0.006  0.070   -0.028  0.008    0.019  0.051   -0.034  0.026
2542.50   -0.030  0.006   -0.006  0.070   -0.028  0.008    0.019  0.051   -0.034  0.026
2547.50   -0.030  0.006   -0.006  0.071   -0.028  0.008    0.019  0.052   -0.035  0.027
2552.50   -0.030  0.006   -0.007  0.071   -0.028  0.008    0.019  0.052   -0.035  0.027
2557.50   -0.030  0.006   -0.007  0.071   -0.028  0.008    0.019  0.052   -0.035  0.027
2562.50   -0.031  0.006   -0.008  0.071   -0.029  0.008    0.019  0.053   -0.035  0.027
2567.50   -0.031  0.006   -0.008  0.071   -0.029  0.008    0.019  0.053   -0.036  0.028
2572.50   -0.031  0.006   -0.008  0.072   -0.029  0.008    0.019  0.054   -0.036  0.028
2577.50   -0.031  0.006   -0.009  0.072   -0.029  0.008    0.019  0.054   -0.036  0.028
2582.50   -0.031  0.006   -0.009  0.072   -0.029  0.008    0.019  0.055   -0.036  0.028
2587.50   -0.031  0.006   -0.010  0.072   -0.029  0.008    0.019  0.055   -0.037  0.029
2592.50   -0.031  0.006   -0.010  0.072   -0.030  0.008    0.019  0.056   -0.037  0.029
2597.50   -0.031  0.006   -0.010  0.073   -0.030  0.008    0.019  0.056   -0.037  0.029

# Isospin = 3/2
Tlab      0,3,1           1,3,1           1,3,3           2,3,3           2,3,5           
2.50      -0.013  0.000    0.000  0.000    0.001  0.000    0.000  0.000    0.000  0.000
7.50      -0.025  0.001   -0.001  0.000    0.005  0.000    0.000  0.000    0.000  0.000
12.50     -0.033  0.001   -0.002  0.000    0.011  0.000    0.000  0.000    0.000  0.000
17.50     -0.042  0.002   -0.003  0.000    0.018  0.000    0.000  0.000    0.000  0.000
22.50     -0.049  0.002   -0.005  0.000    0.027  0.001    0.000  0.000    0.000  0.000
27.50     -0.057  0.003   -0.006  0.000    0.037  0.001    0.000  0.000    0.000  0.000
32.50     -0.064  0.004   -0.008  0.000    0.049  0.002    0.000  0.000    0.000  0.000
37.50     -0.071  0.005   -0.009  0.000    0.062  0.004    0.000  0.000    0.000  0.000
42.50     -0.078  0.006   -0.011  0.000    0.076  0.006    0.000  0.000    0.000  0.000
47.50     -0.085  0.007   -0.013  0.000    0.091  0.008    0.000  0.000    0.000  0.000
52.50     -0.092  0.009   -0.015  0.000    0.109  0.012    0.000  0.000   -0.001  0.000
57.50     -0.099  0.010   -0.017  0.000    0.127  0.016    0.000  0.000   -0.001  0.000
62.50     -0.106  0.011   -0.019  0.000    0.147  0.022    0.001  0.000   -0.001  0.000
67.50     -0.112  0.013   -0.021  0.000    0.169  0.029    0.001  0.000   -0.001  0.000
72.50     -0.119  0.014   -0.024  0.001    0.192  0.038    0.001  0.000   -0.001  0.000
77.50     -0.125  0.016   -0.026  0.001    0.217  0.049    0.001  0.000   -0.001  0.000
82.50     -0.132  0.018   -0.028  0.001    0.243  0.063    0.001  0.000   -0.001  0.000
87.50     -0.138  0.019   -0.031  0.001    0.270  0.079    0.001  0.000   -0.002  0.000
92.50     -0.144  0.021   -0.033  0.001    0.298  0.099    0.001  0.000   -0.002  0.000
97.50     -0.151  0.023   -0.035  0.001    0.328  0.122    0.001  0.000   -0.002  0.000
102.50    -0.157  0.025   -0.038  0.001    0.357  0.150    0.001  0.000   -0.002  0.000
107.50    -0.163  0.027   -0.040  0.002    0.387  0.183    0.002  0.000   -0.003  0.000
112.50    -0.169  0.029   -0.043  0.002    0.415  0.221    0.002  0.000   -0.003  0.000
117.50    -0.174  0.031   -0.046  0.002    0.442  0.265    0.002  0.000   -0.003  0.000
122.50    -0.180  0.034   -0.048  0.002    0.465  0.316    0.002  0.000   -0.003  0.000
127.50    -0.186  0.036   -0.051  0.003    0.483  0.372    0.002  0.000   -0.004  0.000
132.50    -0.191  0.038   -0.053  0.003    0.496  0.434    0.002  0.000   -0.004  0.000
137.50    -0.197  0.040   -0.056  0.003    0.500  0.501    0.002  0.000   -0.004  0.000
142.50    -0.202  0.043   -0.059  0.003    0.495  0.571    0.003  0.000   -0.005  0.000
147.50    -0.207  0.045   -0.062  0.004    0.479  0.643    0.003  0.000   -0.005  0.000
152.50    -0.213  0.047   -0.064  0.004    0.452  0.714    0.003  0.000   -0.005  0.000
157.50    -0.218  0.050   -0.067  0.005    0.413  0.781    0.003  0.000   -0.005  0.000
162.50    -0.223  0.052   -0.070  0.005    0.364  0.842    0.003  0.000   -0.006  0.000
167.50    -0.228  0.055   -0.072  0.005    0.306  0.895    0.003  0.000   -0.006  0.000
172.50    -0.232  0.057   -0.075  0.006    0.241  0.938    0.003  0.000   -0.007  0.000
177.50    -0.237  0.060   -0.078  0.006    0.172  0.969    0.004  0.000   -0.007  0.000
182.50    -0.242  0.062   -0.081  0.007    0.102  0.989    0.004  0.000   -0.007  0.000
187.50    -0.246  0.065   -0.084  0.007    0.032  0.999    0.004  0.000   -0.008  0.000
192.50    -0.251  0.068   -0.086  0.008   -0.034  0.998    0.004  0.000   -0.008  0.000
197.50    -0.255  0.070   -0.089  0.008   -0.097  0.990    0.004  0.000   -0.008  0.000
202.50    -0.259  0.073   -0.092  0.009   -0.154  0.975    0.004  0.000   -0.009  0.000
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997.50    -0.351  0.623   -0.331  0.155   -0.022  0.142   -0.140  0.158   -0.038  0.014
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1007.50   -0.352  0.624   -0.328  0.157   -0.020  0.144   -0.142  0.156   -0.038  0.015
1012.50   -0.353  0.624   -0.327  0.158   -0.019  0.145   -0.144  0.156   -0.038  0.015
1017.50   -0.353  0.625   -0.326  0.159   -0.017  0.146   -0.145  0.155   -0.037  0.015
1022.50   -0.354  0.625   -0.325  0.160   -0.016  0.147   -0.146  0.154   -0.037  0.016
1027.50   -0.354  0.626   -0.323  0.161   -0.015  0.148   -0.147  0.153   -0.037  0.016
1032.50   -0.354  0.627   -0.322  0.162   -0.014  0.149   -0.148  0.153   -0.036  0.016
1037.50   -0.354  0.627   -0.321  0.163   -0.013  0.150   -0.149  0.152   -0.036  0.017
1042.50   -0.355  0.628   -0.319  0.165   -0.012  0.151   -0.150  0.151   -0.036  0.017
1047.50   -0.355  0.629   -0.318  0.166   -0.011  0.152   -0.151  0.150   -0.035  0.017
1052.50   -0.355  0.629   -0.317  0.167   -0.010  0.153   -0.152  0.150   -0.035  0.018
1057.50   -0.355  0.630   -0.315  0.169   -0.009  0.154   -0.153  0.149   -0.035  0.018
1062.50   -0.355  0.631   -0.314  0.170   -0.007  0.155   -0.154  0.149   -0.034  0.019
1067.50   -0.355  0.631   -0.313  0.172   -0.006  0.156   -0.155  0.148   -0.034  0.019
1072.50   -0.355  0.632   -0.311  0.173   -0.005  0.157   -0.155  0.148   -0.034  0.019
1077.50   -0.355  0.633   -0.310  0.175   -0.004  0.158   -0.156  0.147   -0.033  0.020
1082.50   -0.355  0.633   -0.308  0.176   -0.003  0.159   -0.157  0.147   -0.033  0.020
1087.50   -0.355  0.634   -0.307  0.178   -0.003  0.160   -0.157  0.146   -0.033  0.021
1092.50   -0.354  0.635   -0.305  0.180   -0.002  0.161   -0.158  0.146   -0.032  0.021
1097.50   -0.354  0.635   -0.304  0.181   -0.001  0.162   -0.158  0.145   -0.032  0.022
1102.50   -0.354  0.636   -0.303  0.183    0.000  0.163   -0.159  0.145   -0.032  0.022
1107.50   -0.354  0.637   -0.301  0.185    0.001  0.164   -0.159  0.144   -0.031  0.023
1112.50   -0.354  0.637   -0.300  0.187    0.002  0.165   -0.160  0.144   -0.031  0.023
1117.50   -0.353  0.638   -0.298  0.188    0.003  0.166   -0.160  0.144   -0.031  0.024
1122.50   -0.353  0.639   -0.297  0.190    0.004  0.167   -0.161  0.144   -0.030  0.024
1127.50   -0.353  0.639   -0.296  0.192    0.005  0.168   -0.161  0.143   -0.030  0.025
1132.50   -0.353  0.640   -0.294  0.194    0.005  0.169   -0.162  0.143   -0.030  0.025
1137.50   -0.352  0.641   -0.293  0.196    0.006  0.170   -0.162  0.143   -0.029  0.026
1142.50   -0.352  0.641   -0.292  0.198    0.007  0.171   -0.162  0.143   -0.029  0.026
1147.50   -0.352  0.642   -0.290  0.200    0.008  0.172   -0.163  0.143   -0.028  0.027
1152.50   -0.351  0.643   -0.289  0.202    0.008  0.173   -0.163  0.143   -0.028  0.027
1157.50   -0.351  0.643   -0.288  0.205    0.009  0.174   -0.163  0.142   -0.028  0.028
1162.50   -0.351  0.644   -0.286  0.207    0.010  0.175   -0.164  0.142   -0.027  0.028
1167.50   -0.350  0.645   -0.285  0.209    0.011  0.176   -0.164  0.142   -0.027  0.029
1172.50   -0.350  0.645   -0.284  0.211    0.011  0.177   -0.164  0.142   -0.027  0.030
1177.50   -0.350  0.646   -0.283  0.213    0.012  0.178   -0.164  0.142   -0.026  0.030
1182.50   -0.349  0.647   -0.281  0.216    0.013  0.180   -0.165  0.142   -0.026  0.031
1187.50   -0.349  0.647   -0.280  0.218    0.013  0.181   -0.165  0.142   -0.026  0.031
1192.50   -0.349  0.648   -0.279  0.220    0.014  0.182   -0.165  0.142   -0.025  0.032
1197.50   -0.348  0.648   -0.278  0.222    0.014  0.183   -0.165  0.142   -0.025  0.033
1202.50   -0.348  0.649   -0.277  0.225    0.015  0.184   -0.166  0.143   -0.025  0.033
1207.50   -0.347  0.650   -0.276  0.227    0.016  0.185   -0.166  0.143   -0.024  0.034
1212.50   -0.347  0.650   -0.275  0.230    0.016  0.186   -0.166  0.143   -0.024  0.035
1217.50   -0.346  0.651   -0.274  0.232    0.017  0.187   -0.166  0.143   -0.024  0.035
1222.50   -0.346  0.652   -0.273  0.234    0.017  0.188   -0.166  0.143   -0.023  0.036
1227.50   -0.346  0.652   -0.271  0.237    0.018  0.189   -0.167  0.143   -0.023  0.037
1232.50   -0.345  0.653   -0.270  0.239    0.018  0.190   -0.167  0.143   -0.023  0.038
1237.50   -0.345  0.653   -0.269  0.242    0.019  0.191   -0.167  0.144   -0.022  0.038
1242.50   -0.344  0.654   -0.269  0.244    0.019  0.192   -0.167  0.144   -0.022  0.039
1247.50   -0.344  0.654   -0.268  0.246    0.020  0.193   -0.167  0.144   -0.022  0.040
1252.50   -0.343  0.655   -0.267  0.249    0.020  0.194   -0.168  0.144   -0.021  0.041
1257.50   -0.343  0.656   -0.266  0.251    0.020  0.195   -0.168  0.145   -0.021  0.041
1262.50   -0.342  0.656   -0.265  0.254    0.021  0.196   -0.168  0.145   -0.021  0.042
1267.50   -0.342  0.657   -0.264  0.256    0.021  0.197   -0.168  0.145   -0.021  0.043
1272.50   -0.341  0.657   -0.263  0.259    0.021  0.199   -0.168  0.146   -0.020  0.044
1277.50   -0.341  0.658   -0.262  0.261    0.022  0.200   -0.168  0.146   -0.020  0.045
1282.50   -0.340  0.658   -0.262  0.264    0.022  0.201   -0.169  0.146   -0.020  0.045
1287.50   -0.340  0.659   -0.261  0.266    0.022  0.202   -0.169  0.147   -0.020  0.046
1292.50   -0.339  0.659   -0.260  0.269    0.023  0.203   -0.169  0.147   -0.020  0.047
1297.50   -0.339  0.660   -0.259  0.271    0.023  0.204   -0.169  0.147   -0.019  0.048
1302.50   -0.338  0.660   -0.259  0.274    0.023  0.205   -0.169  0.148   -0.019  0.049
1307.50   -0.338  0.661   -0.258  0.276    0.024  0.206   -0.169  0.148   -0.019  0.049
1312.50   -0.337  0.661   -0.257  0.279    0.024  0.207   -0.170  0.149   -0.019  0.050
1317.50   -0.337  0.662   -0.257  0.281    0.024  0.208   -0.170  0.149   -0.019  0.051
1322.50   -0.336  0.662   -0.256  0.284    0.024  0.209   -0.170  0.150   -0.019  0.052
1327.50   -0.336  0.663   -0.255  0.286    0.024  0.210   -0.170  0.150   -0.018  0.053
1332.50   -0.335  0.663   -0.255  0.289    0.025  0.211   -0.170  0.150   -0.018  0.054
1337.50   -0.335  0.664   -0.254  0.291    0.025  0.212   -0.170  0.151   -0.018  0.054
1342.50   -0.334  0.664   -0.254  0.294    0.025  0.213   -0.171  0.151   -0.018  0.055
1347.50   -0.334  0.664   -0.253  0.296    0.025  0.214   -0.171  0.152   -0.018  0.056
1352.50   -0.333  0.665   -0.253  0.299    0.025  0.215   -0.171  0.152   -0.018  0.057
1357.50   -0.333  0.665   -0.252  0.301    0.025  0.215   -0.171  0.153   -0.018  0.058
1362.50   -0.332  0.666   -0.252  0.303    0.025  0.216   -0.171  0.153   -0.018  0.059
1367.50   -0.332  0.666   -0.251  0.306    0.025  0.217   -0.171  0.154   -0.018  0.059
1372.50   -0.331  0.666   -0.251  0.308    0.026  0.218   -0.172  0.154   -0.018  0.060
1377.50   -0.331  0.667   -0.250  0.311    0.026  0.219   -0.172  0.155   -0.018  0.061
1382.50   -0.330  0.667   -0.250  0.313    0.026  0.220   -0.172  0.155   -0.018  0.062
1387.50   -0.330  0.667   -0.249  0.315    0.026  0.221   -0.172  0.156   -0.018  0.063
1392.50   -0.329  0.668   -0.249  0.318    0.026  0.222   -0.172  0.157   -0.018  0.063
1397.50   -0.329  0.668   -0.249  0.320    0.026  0.223   -0.172  0.157   -0.018  0.064
1402.50   -0.328  0.668   -0.248  0.323    0.026  0.224   -0.173  0.158   -0.018  0.065
1407.50   -0.328  0.669   -0.248  0.325    0.026  0.225   -0.173  0.158   -0.018  0.066
1412.50   -0.327  0.669   -0.248  0.327    0.026  0.225   -0.173  0.159   -0.018  0.066
1417.50   -0.326  0.669   -0.247  0.330    0.026  0.226   -0.173  0.159   -0.018  0.067
1422.50   -0.326  0.670   -0.247  0.332    0.026  0.227   -0.173  0.160   -0.018  0.068
1427.50   -0.325  0.670   -0.246  0.334    0.025  0.228   -0.173  0.161   -0.019  0.069
1432.50   -0.325  0.670   -0.246  0.337    0.025  0.229   -0.174  0.161   -0.019  0.069
1437.50   -0.324  0.670   -0.246  0.339    0.025  0.230   -0.174  0.162   -0.019  0.070
1442.50   -0.324  0.671   -0.246  0.341    0.025  0.230   -0.174  0.162   -0.019  0.071
1447.50   -0.323  0.671   -0.245  0.343    0.025  0.231   -0.174  0.163   -0.019  0.071
1452.50   -0.323  0.671   -0.245  0.346    0.025  0.232   -0.174  0.164   -0.019  0.072
1457.50   -0.322  0.671   -0.245  0.348    0.025  0.233   -0.174  0.164   -0.019  0.073
1462.50   -0.322  0.671   -0.244  0.350    0.025  0.233   -0.175  0.165   -0.019  0.073
1467.50   -0.321  0.672   -0.244  0.352    0.025  0.234   -0.175  0.166   -0.020  0.074
1472.50   -0.321  0.672   -0.244  0.355    0.025  0.235   -0.175  0.166   -0.020  0.074
1477.50   -0.320  0.672   -0.244  0.357    0.024  0.236   -0.175  0.167   -0.020  0.075
1482.50   -0.319  0.672   -0.243  0.359    0.024  0.236   -0.175  0.168   -0.020  0.076
1487.50   -0.319  0.672   -0.243  0.361    0.024  0.237   -0.175  0.168   -0.020  0.076
1492.50   -0.318  0.673   -0.243  0.363    0.024  0.238   -0.176  0.169   -0.020  0.077
1497.50   -0.318  0.673   -0.243  0.366    0.024  0.238   -0.176  0.170   -0.020  0.077
1502.50   -0.317  0.673   -0.243  0.368    0.024  0.239   -0.176  0.170   -0.020  0.078
1507.50   -0.317  0.673   -0.242  0.370    0.023  0.240   -0.176  0.171   -0.021  0.078
1512.50   -0.316  0.673   -0.242  0.372    0.023  0.240   -0.176  0.172   -0.021  0.079
1517.50   -0.316  0.673   -0.242  0.374    0.023  0.241   -0.177  0.172   -0.021  0.079
1522.50   -0.315  0.673   -0.242  0.376    0.023  0.242   -0.177  0.173   -0.021  0.080
1527.50   -0.315  0.673   -0.241  0.378    0.023  0.242   -0.177  0.174   -0.021  0.080
1532.50   -0.314  0.673   -0.241  0.380    0.022  0.243   -0.177  0.174   -0.021  0.081
1537.50   -0.313  0.673   -0.241  0.382    0.022  0.244   -0.177  0.175   -0.021  0.081
1542.50   -0.313  0.674   -0.241  0.384    0.022  0.244   -0.177  0.176   -0.021  0.082
1547.50   -0.312  0.674   -0.241  0.386    0.022  0.245   -0.178  0.176   -0.021  0.082
1552.50   -0.312  0.674   -0.241  0.388    0.021  0.245   -0.178  0.177   -0.021  0.083
1557.50   -0.311  0.674   -0.240  0.390    0.021  0.246   -0.178  0.178   -0.021  0.083
1562.50   -0.311  0.674   -0.240  0.392    0.021  0.246   -0.178  0.179   -0.021  0.083
1567.50   -0.310  0.674   -0.240  0.394    0.021  0.247   -0.178  0.179   -0.021  0.084
1572.50   -0.310  0.674   -0.240  0.396    0.020  0.248   -0.178  0.180   -0.022  0.084
1577.50   -0.309  0.674   -0.240  0.398    0.020  0.248   -0.179  0.181   -0.022  0.085
1582.50   -0.308  0.674   -0.239  0.400    0.020  0.249   -0.179  0.181   -0.022  0.085
1587.50   -0.308  0.674   -0.239  0.402    0.020  0.249   -0.179  0.182   -0.022  0.085
1592.50   -0.307  0.673   -0.239  0.404    0.019  0.250   -0.179  0.183   -0.022  0.086
1597.50   -0.307  0.673   -0.239  0.406    0.019  0.250   -0.179  0.184   -0.022  0.086
1602.50   -0.306  0.673   -0.239  0.408    0.019  0.251   -0.180  0.184   -0.022  0.087
1607.50   -0.306  0.673   -0.239  0.409    0.019  0.251   -0.180  0.185   -0.022  0.087
1612.50   -0.305  0.673   -0.238  0.411    0.018  0.251   -0.180  0.186   -0.021  0.087
1617.50   -0.305  0.673   -0.238  0.413    0.018  0.252   -0.180  0.187   -0.021  0.088
1622.50   -0.304  0.673   -0.238  0.415    0.018  0.252   -0.180  0.187   -0.021  0.088
1627.50   -0.303  0.673   -0.238  0.417    0.018  0.253   -0.180  0.188   -0.021  0.089
1632.50   -0.303  0.673   -0.238  0.419    0.017  0.253   -0.181  0.189   -0.021  0.089
1637.50   -0.302  0.673   -0.237  0.420    0.017  0.254   -0.181  0.189   -0.021  0.089
1642.50   -0.302  0.672   -0.237  0.422    0.017  0.254   -0.181  0.190   -0.021  0.090
1647.50   -0.301  0.672   -0.237  0.424    0.016  0.254   -0.181  0.191   -0.021  0.090
1652.50   -0.301  0.672   -0.237  0.426    0.016  0.255   -0.181  0.192   -0.021  0.091
1657.50   -0.300  0.672   -0.237  0.427    0.016  0.255   -0.182  0.192   -0.021  0.091
1662.50   -0.299  0.672   -0.237  0.429    0.016  0.255   -0.182  0.193   -0.021  0.091
1667.50   -0.299  0.672   -0.236  0.431    0.015  0.256   -0.182  0.194   -0.021  0.092
1672.50   -0.298  0.671   -0.236  0.433    0.015  0.256   -0.182  0.195   -0.021  0.092
1677.50   -0.298  0.671   -0.236  0.434    0.015  0.256   -0.182  0.195   -0.020  0.093
1682.50   -0.297  0.671   -0.236  0.436    0.014  0.257   -0.182  0.196   -0.020  0.093
1687.50   -0.297  0.671   -0.236  0.438    0.014  0.257   -0.183  0.197   -0.020  0.093
1692.50   -0.296  0.670   -0.235  0.439    0.014  0.257   -0.183  0.198   -0.020  0.094
1697.50   -0.295  0.670   -0.235  0.441    0.014  0.258   -0.183  0.199   -0.020  0.094
1702.50   -0.295  0.670   -0.235  0.443    0.013  0.258   -0.183  0.199   -0.020  0.095
1707.50   -0.294  0.669   -0.235  0.444    0.013  0.258   -0.183  0.200   -0.020  0.095
1712.50   -0.294  0.669   -0.234  0.446    0.013  0.258   -0.184  0.201   -0.019  0.096
1717.50   -0.293  0.669   -0.234  0.447    0.013  0.259   -0.184  0.202   -0.019  0.096
1722.50   -0.292  0.669   -0.234  0.449    0.012  0.259   -0.184  0.202   -0.019  0.096
1727.50   -0.292  0.668   -0.234  0.451    0.012  0.259   -0.184  0.203   -0.019  0.097
1732.50   -0.291  0.668   -0.234  0.452    0.012  0.259   -0.184  0.204   -0.019  0.097
1737.50   -0.291  0.667   -0.233  0.454    0.011  0.260   -0.185  0.205   -0.019  0.098
1742.50   -0.290  0.667   -0.233  0.455    0.011  0.260   -0.185  0.205   -0.019  0.098
1747.50   -0.290  0.667   -0.233  0.457    0.011  0.260   -0.185  0.206   -0.018  0.099
1752.50   -0.289  0.666   -0.233  0.458    0.011  0.260   -0.185  0.207   -0.018  0.099
1757.50   -0.288  0.666   -0.232  0.460    0.010  0.260   -0.185  0.208   -0.018  0.100
1762.50   -0.288  0.666   -0.232  0.462    0.010  0.261   -0.185  0.209   -0.018  0.100
1767.50   -0.287  0.665   -0.232  0.463    0.010  0.261   -0.186  0.209   -0.018  0.101
1772.50   -0.286  0.665   -0.232  0.465    0.010  0.261   -0.186  0.210   -0.018  0.101
1777.50   -0.286  0.664   -0.231  0.466    0.009  0.261   -0.186  0.211   -0.017  0.101
1782.50   -0.285  0.664   -0.231  0.467    0.009  0.261   -0.186  0.212   -0.017  0.102
1787.50   -0.285  0.663   -0.231  0.469    0.009  0.261   -0.186  0.212   -0.017  0.102
1792.50   -0.284  0.663   -0.230  0.470    0.008  0.262   -0.187  0.213   -0.017  0.103
1797.50   -0.283  0.662   -0.230  0.472    0.008  0.262   -0.187  0.214   -0.017  0.103
1802.50   -0.283  0.662   -0.230  0.473    0.008  0.262   -0.187  0.215   -0.017  0.104
1807.50   -0.282  0.661   -0.230  0.475    0.008  0.262   -0.187  0.216   -0.016  0.104
1812.50   -0.282  0.661   -0.229  0.476    0.007  0.262   -0.187  0.216   -0.016  0.105
1817.50   -0.281  0.660   -0.229  0.478    0.007  0.262   -0.187  0.217   -0.016  0.105
1822.50   -0.280  0.660   -0.229  0.479    0.007  0.262   -0.188  0.218   -0.016  0.106
1827.50   -0.280  0.659   -0.228  0.480    0.007  0.262   -0.188  0.219   -0.016  0.106
1832.50   -0.279  0.659   -0.228  0.482    0.007  0.262   -0.188  0.219   -0.016  0.107
1837.50   -0.278  0.658   -0.228  0.483    0.006  0.263   -0.188  0.220   -0.015  0.107
1842.50   -0.278  0.657   -0.227  0.485    0.006  0.263   -0.188  0.221   -0.015  0.108
1847.50   -0.277  0.657   -0.227  0.486    0.006  0.263   -0.189  0.222   -0.015  0.108
1852.50   -0.276  0.656   -0.227  0.487    0.006  0.263   -0.189  0.223   -0.015  0.109
1857.50   -0.276  0.655   -0.226  0.489    0.005  0.263   -0.189  0.223   -0.015  0.109
1862.50   -0.275  0.655   -0.226  0.490    0.005  0.263   -0.189  0.224   -0.015  0.110
1867.50   -0.274  0.654   -0.226  0.491    0.005  0.263   -0.189  0.225   -0.015  0.110
1872.50   -0.274  0.653   -0.225  0.493    0.005  0.263   -0.189  0.226   -0.014  0.111
1877.50   -0.273  0.653   -0.225  0.494    0.005  0.263   -0.190  0.227   -0.014  0.111
1882.50   -0.272  0.652   -0.224  0.495    0.004  0.263   -0.190  0.227   -0.014  0.112
1887.50   -0.272  0.651   -0.224  0.497    0.004  0.263   -0.190  0.228   -0.014  0.113
1892.50   -0.271  0.651   -0.224  0.498    0.004  0.263   -0.190  0.229   -0.014  0.113
1897.50   -0.270  0.650   -0.223  0.499    0.004  0.263   -0.190  0.230   -0.014  0.114
1902.50   -0.269  0.649   -0.223  0.500    0.004  0.263   -0.190  0.230   -0.014  0.114
1907.50   -0.269  0.648   -0.223  0.502    0.003  0.263   -0.191  0.231   -0.013  0.115
1912.50   -0.268  0.648   -0.222  0.503    0.003  0.263   -0.191  0.232   -0.013  0.115
1917.50   -0.267  0.647   -0.222  0.504    0.003  0.263   -0.191  0.233   -0.013  0.116
1922.50   -0.266  0.646   -0.221  0.505    0.003  0.263   -0.191  0.234   -0.013  0.116
1927.50   -0.266  0.645   -0.221  0.507    0.003  0.263   -0.191  0.234   -0.013  0.117
1932.50   -0.265  0.644   -0.220  0.508    0.002  0.263   -0.192  0.235   -0.013  0.117
1937.50   -0.264  0.644   -0.220  0.509    0.002  0.263   -0.192  0.236   -0.013  0.118
1942.50   -0.263  0.643   -0.220  0.510    0.002  0.263   -0.192  0.237   -0.013  0.118
1947.50   -0.263  0.642   -0.219  0.512    0.002  0.263   -0.192  0.238   -0.013  0.119
1952.50   -0.262  0.641   -0.219  0.513    0.002  0.263   -0.192  0.238   -0.012  0.119
1957.50   -0.261  0.640   -0.218  0.514    0.002  0.263   -0.192  0.239   -0.012  0.120
1962.50   -0.260  0.639   -0.218  0.515    0.001  0.263   -0.193  0.240   -0.012  0.120
1967.50   -0.260  0.638   -0.217  0.516    0.001  0.263   -0.193  0.241   -0.012  0.121
1972.50   -0.259  0.638   -0.217  0.518    0.001  0.263   -0.193  0.242   -0.012  0.122
1977.50   -0.258  0.637   -0.216  0.519    0.001  0.263   -0.193  0.242   -0.012  0.122
1982.50   -0.257  0.636   -0.216  0.520    0.001  0.263   -0.193  0.243   -0.012  0.123
1987.50   -0.256  0.635   -0.215  0.521    0.001  0.263   -0.193  0.244   -0.012  0.123
1992.50   -0.255  0.634   -0.215  0.522    0.001  0.263   -0.194  0.245   -0.012  0.124
1997.50   -0.255  0.633   -0.214  0.523    0.000  0.263   -0.194  0.245   -0.012  0.124
2002.50   -0.254  0.632   -0.214  0.525    0.000  0.262   -0.194  0.246   -0.011  0.125
2007.50   -0.253  0.631   -0.213  0.526    0.000  0.262   -0.194  0.247   -0.011  0.125
2012.50   -0.252  0.630   -0.213  0.527    0.000  0.262   -0.194  0.248   -0.011  0.126
2017.50   -0.251  0.629   -0.212  0.528    0.000  0.262   -0.194  0.249   -0.011  0.126
2022.50   -0.250  0.628   -0.212  0.529    0.000  0.262   -0.195  0.249   -0.011  0.127
2027.50   -0.249  0.627   -0.211  0.530    0.000  0.262   -0.195  0.250   -0.011  0.127
2032.50   -0.248  0.626   -0.211  0.531    0.000  0.262   -0.195  0.251   -0.011  0.128
2037.50   -0.247  0.625   -0.210  0.532   -0.001  0.262   -0.195  0.252   -0.011  0.128
2042.50   -0.246  0.623   -0.209  0.533   -0.001  0.262   -0.195  0.253   -0.011  0.129
2047.50   -0.246  0.622   -0.209  0.535   -0.001  0.262   -0.195  0.253   -0.011  0.129
2052.50   -0.245  0.621   -0.208  0.536   -0.001  0.262   -0.196  0.254   -0.011  0.130
2057.50   -0.244  0.620   -0.208  0.537   -0.001  0.261   -0.196  0.255   -0.011  0.131
2062.50   -0.243  0.619   -0.207  0.538   -0.001  0.261   -0.196  0.256   -0.011  0.131
2067.50   -0.242  0.618   -0.207  0.539   -0.001  0.261   -0.196  0.257   -0.011  0.132
2072.50   -0.241  0.617   -0.206  0.540   -0.001  0.261   -0.196  0.257   -0.011  0.132
2077.50   -0.240  0.615   -0.205  0.541   -0.001  0.261   -0.196  0.258   -0.011  0.133
2082.50   -0.239  0.614   -0.205  0.542   -0.001  0.261   -0.196  0.259   -0.011  0.133
2087.50   -0.237  0.613   -0.204  0.543   -0.002  0.261   -0.197  0.260   -0.011  0.134
2092.50   -0.236  0.612   -0.203  0.544   -0.002  0.261   -0.197  0.260   -0.010  0.134
2097.50   -0.235  0.611   -0.203  0.545   -0.002  0.260   -0.197  0.261   -0.010  0.135
2102.50   -0.234  0.609   -0.202  0.546   -0.002  0.260   -0.197  0.262   -0.010  0.135
2107.50   -0.233  0.608   -0.202  0.547   -0.002  0.260   -0.197  0.263   -0.010  0.136
2112.50   -0.232  0.607   -0.201  0.549   -0.002  0.260   -0.197  0.264   -0.010  0.136
2117.50   -0.231  0.606   -0.200  0.550   -0.002  0.260   -0.198  0.264   -0.010  0.137
2122.50   -0.230  0.604   -0.200  0.551   -0.002  0.260   -0.198  0.265   -0.010  0.137
2127.50   -0.229  0.603   -0.199  0.552   -0.002  0.260   -0.198  0.266   -0.010  0.138
2132.50   -0.227  0.602   -0.198  0.553   -0.002  0.260   -0.198  0.267   -0.010  0.138
2137.50   -0.226  0.601   -0.198  0.554   -0.002  0.259   -0.198  0.267   -0.010  0.139
2142.50   -0.225  0.599   -0.197  0.555   -0.002  0.259   -0.198  0.268   -0.010  0.139
2147.50   -0.224  0.598   -0.196  0.556   -0.002  0.259   -0.198  0.269   -0.010  0.140
2152.50   -0.222  0.597   -0.195  0.557   -0.002  0.259   -0.199  0.270   -0.010  0.140
2157.50   -0.221  0.595   -0.195  0.558   -0.002  0.259   -0.199  0.271   -0.010  0.141
2162.50   -0.220  0.594   -0.194  0.559   -0.002  0.259   -0.199  0.271   -0.010  0.141
2167.50   -0.219  0.593   -0.193  0.560   -0.002  0.258   -0.199  0.272   -0.010  0.142
2172.50   -0.217  0.591   -0.193  0.561   -0.002  0.258   -0.199  0.273   -0.010  0.142
2177.50   -0.216  0.590   -0.192  0.562   -0.002  0.258   -0.199  0.274   -0.010  0.143
2182.50   -0.215  0.588   -0.191  0.563   -0.002  0.258   -0.199  0.275   -0.010  0.143
2187.50   -0.213  0.587   -0.190  0.564   -0.002  0.258   -0.200  0.275   -0.010  0.144
2192.50   -0.212  0.586   -0.190  0.565   -0.002  0.258   -0.200  0.276   -0.010  0.144
2197.50   -0.210  0.584   -0.189  0.566   -0.002  0.257   -0.200  0.277   -0.010  0.145
2202.50   -0.209  0.583   -0.188  0.567   -0.002  0.257   -0.200  0.278   -0.010  0.145
2207.50   -0.207  0.581   -0.187  0.568   -0.002  0.257   -0.200  0.278   -0.010  0.146
2212.50   -0.206  0.580   -0.186  0.569   -0.002  0.257   -0.200  0.279   -0.010  0.146
2217.50   -0.204  0.578   -0.186  0.570   -0.002  0.257   -0.200  0.280   -0.011  0.146
2222.50   -0.203  0.577   -0.185  0.571   -0.002  0.256   -0.201  0.281   -0.011  0.147
2227.50   -0.201  0.576   -0.184  0.572   -0.002  0.256   -0.201  0.281   -0.011  0.147
2232.50   -0.200  0.574   -0.183  0.573   -0.002  0.256   -0.201  0.282   -0.011  0.148
2237.50   -0.198  0.573   -0.183  0.574   -0.002  0.256   -0.201  0.283   -0.011  0.148
2242.50   -0.197  0.571   -0.182  0.575   -0.002  0.256   -0.201  0.284   -0.011  0.149
2247.50   -0.195  0.570   -0.181  0.576   -0.002  0.256   -0.201  0.285   -0.011  0.149
2252.50   -0.193  0.568   -0.180  0.577   -0.002  0.255   -0.201  0.285   -0.011  0.150
2257.50   -0.192  0.567   -0.179  0.578   -0.002  0.255   -0.202  0.286   -0.011  0.150
2262.50   -0.190  0.565   -0.178  0.579   -0.002  0.255   -0.202  0.287   -0.011  0.151
2267.50   -0.188  0.564   -0.178  0.580   -0.002  0.255   -0.202  0.288   -0.011  0.151
2272.50   -0.186  0.562   -0.177  0.581   -0.002  0.255   -0.202  0.288   -0.011  0.151
2277.50   -0.185  0.561   -0.176  0.582   -0.002  0.254   -0.202  0.289   -0.011  0.152
2282.50   -0.183  0.559   -0.175  0.583   -0.002  0.254   -0.202  0.290   -0.011  0.152
2287.50   -0.181  0.558   -0.174  0.584   -0.002  0.254   -0.202  0.291   -0.011  0.153
2292.50   -0.179  0.556   -0.173  0.585   -0.002  0.254   -0.202  0.291   -0.011  0.153
2297.50   -0.177  0.555   -0.172  0.586   -0.002  0.254   -0.203  0.292   -0.011  0.154
2302.50   -0.175  0.553   -0.171  0.586   -0.002  0.253   -0.203  0.293   -0.011  0.154
2307.50   -0.173  0.552   -0.171  0.587   -0.002  0.253   -0.203  0.294   -0.011  0.154
2312.50   -0.172  0.550   -0.170  0.588   -0.002  0.253   -0.203  0.295   -0.012  0.155
2317.50   -0.170  0.549   -0.169  0.589   -0.002  0.253   -0.203  0.295   -0.012  0.155
2322.50   -0.168  0.547   -0.168  0.590   -0.002  0.252   -0.203  0.296   -0.012  0.156
2327.50   -0.165  0.545   -0.167  0.591   -0.002  0.252   -0.203  0.297   -0.012  0.156
2332.50   -0.163  0.544   -0.166  0.592   -0.002  0.252   -0.204  0.298   -0.012  0.157
2337.50   -0.161  0.542   -0.165  0.593   -0.002  0.252   -0.204  0.298   -0.012  0.157
2342.50   -0.159  0.541   -0.164  0.594   -0.001  0.252   -0.204  0.299   -0.012  0.157
2347.50   -0.157  0.539   -0.163  0.595   -0.001  0.251   -0.204  0.300   -0.012  0.158
2352.50   -0.155  0.538   -0.162  0.596   -0.001  0.251   -0.204  0.301   -0.012  0.158
2357.50   -0.153  0.536   -0.161  0.597   -0.001  0.251   -0.204  0.301   -0.012  0.159
2362.50   -0.150  0.535   -0.160  0.598   -0.001  0.251   -0.204  0.302   -0.012  0.159
2367.50   -0.148  0.533   -0.159  0.599   -0.001  0.251   -0.204  0.303   -0.012  0.159
2372.50   -0.146  0.532   -0.158  0.600   -0.001  0.250   -0.204  0.304   -0.013  0.160
2377.50   -0.143  0.530   -0.157  0.601   -0.001  0.250   -0.205  0.304   -0.013  0.160
2382.50   -0.141  0.529   -0.156  0.602   -0.001  0.250   -0.205  0.305   -0.013  0.160
2387.50   -0.139  0.528   -0.155  0.603   -0.001  0.250   -0.205  0.306   -0.013  0.161
2392.50   -0.136  0.526   -0.154  0.604   -0.001  0.249   -0.205  0.307   -0.013  0.161
2397.50   -0.134  0.525   -0.153  0.605   -0.001  0.249   -0.205  0.307   -0.013  0.162
2402.50   -0.131  0.523   -0.152  0.606    0.000  0.249   -0.205  0.308   -0.013  0.162
2407.50   -0.129  0.522   -0.151  0.607    0.000  0.249   -0.205  0.309   -0.013  0.162
2412.50   -0.126  0.520   -0.150  0.608    0.000  0.248   -0.205  0.310   -0.013  0.163
2417.50   -0.124  0.519   -0.149  0.609    0.000  0.248   -0.206  0.310   -0.013  0.163
2422.50   -0.121  0.518   -0.148  0.610    0.000  0.248   -0.206  0.311   -0.014  0.163
2427.50   -0.118  0.516   -0.147  0.611    0.000  0.248   -0.206  0.312   -0.014  0.164
2432.50   -0.116  0.515   -0.146  0.612    0.000  0.248   -0.206  0.313   -0.014  0.164
2437.50   -0.113  0.514   -0.145  0.613    0.000  0.247   -0.206  0.313   -0.014  0.164
2442.50   -0.110  0.512   -0.144  0.615    0.000  0.247   -0.206  0.314   -0.014  0.165
2447.50   -0.108  0.511   -0.143  0.616    0.001  0.247   -0.206  0.315   -0.014  0.165
2452.50   -0.105  0.510   -0.142  0.617    0.001  0.247   -0.206  0.316   -0.014  0.165
2457.50   -0.102  0.508   -0.141  0.618    0.001  0.246   -0.206  0.316   -0.014  0.166
2462.50   -0.099  0.507   -0.140  0.619    0.001  0.246   -0.207  0.317   -0.014  0.166
2467.50   -0.096  0.506   -0.139  0.620    0.001  0.246   -0.207  0.318   -0.015  0.166
2472.50   -0.093  0.505   -0.138  0.621    0.001  0.246   -0.207  0.319   -0.015  0.167
2477.50   -0.090  0.503   -0.137  0.622    0.001  0.245   -0.207  0.319   -0.015  0.167
2482.50   -0.087  0.502   -0.136  0.623    0.001  0.245   -0.207  0.320   -0.015  0.167
2487.50   -0.084  0.501   -0.135  0.624    0.002  0.245   -0.207  0.321   -0.015  0.168
2492.50   -0.081  0.500   -0.134  0.625    0.002  0.245   -0.207  0.322   -0.015  0.168
2497.50   -0.078  0.499   -0.133  0.626    0.002  0.245   -0.207  0.322   -0.015  0.168
2502.50   -0.075  0.498   -0.131  0.627    0.002  0.244   -0.207  0.323   -0.016  0.169
2507.50   -0.072  0.497   -0.130  0.628    0.002  0.244   -0.207  0.324   -0.016  0.169
2512.50   -0.069  0.496   -0.129  0.629    0.002  0.244   -0.208  0.325   -0.016  0.169
2517.50   -0.066  0.495   -0.128  0.631    0.002  0.244   -0.208  0.325   -0.016  0.170
2522.50   -0.063  0.494   -0.127  0.632    0.003  0.243   -0.208  0.326   -0.016  0.170
2527.50   -0.059  0.493   -0.126  0.633    0.003  0.243   -0.208  0.327   -0.016  0.170
2532.50   -0.056  0.492   -0.125  0.634    0.003  0.243   -0.208  0.327   -0.016  0.171
2537.50   -0.053  0.491   -0.124  0.635    0.003  0.243   -0.208  0.328   -0.017  0.171
2542.50   -0.049  0.490   -0.123  0.636    0.003  0.242   -0.208  0.329   -0.017  0.171
2547.50   -0.046  0.489   -0.122  0.637    0.003  0.242   -0.208  0.330   -0.017  0.171
2552.50   -0.043  0.489   -0.120  0.638    0.003  0.242   -0.208  0.330   -0.017  0.172
2557.50   -0.039  0.488   -0.119  0.640    0.004  0.242   -0.208  0.331   -0.017  0.172
2562.50   -0.036  0.487   -0.118  0.641    0.004  0.241   -0.209  0.332   -0.017  0.172
2567.50   -0.033  0.486   -0.117  0.642    0.004  0.241   -0.209  0.333   -0.017  0.173
2572.50   -0.029  0.486   -0.116  0.643    0.004  0.241   -0.209  0.333   -0.018  0.173
2577.50   -0.026  0.485   -0.115  0.644    0.004  0.241   -0.209  0.334   -0.018  0.173
2582.50   -0.022  0.485   -0.114  0.645    0.004  0.240   -0.209  0.335   -0.018  0.173
2587.50   -0.019  0.484   -0.113  0.647    0.005  0.240   -0.209  0.336   -0.018  0.174
2592.50   -0.015  0.484   -0.112  0.648    0.005  0.240   -0.209  0.336   -0.018  0.174
2597.50   -0.012  0.483   -0.110  0.649    0.005  0.240   -0.209  0.337   -0.018  0.174

Tlab      3,3,5           3,3,7           4,3,7           4,3,9           5,3,9           
2.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
7.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
12.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
17.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
22.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
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897.50     0.007  0.033    0.151  0.046    0.001  0.003    0.005  0.002   -0.003  0.001
902.50     0.007  0.034    0.153  0.047    0.001  0.003    0.005  0.002   -0.003  0.001
907.50     0.008  0.036    0.156  0.049    0.001  0.003    0.005  0.002   -0.003  0.001
912.50     0.008  0.037    0.158  0.051    0.001  0.003    0.005  0.002   -0.003  0.002
917.50     0.008  0.038    0.161  0.053    0.001  0.003    0.005  0.002   -0.003  0.002
922.50     0.008  0.040    0.163  0.055    0.001  0.003    0.005  0.002   -0.003  0.002
927.50     0.009  0.041    0.166  0.057    0.001  0.003    0.006  0.002   -0.003  0.002
932.50     0.009  0.042    0.169  0.059    0.001  0.003    0.006  0.002   -0.003  0.002
937.50     0.009  0.044    0.172  0.062    0.001  0.003    0.006  0.002   -0.003  0.002
942.50     0.009  0.045    0.174  0.064    0.001  0.003    0.006  0.003   -0.003  0.002
947.50     0.009  0.047    0.177  0.066    0.001  0.003    0.006  0.003   -0.003  0.002
952.50     0.010  0.049    0.180  0.069    0.001  0.003    0.006  0.003   -0.004  0.002
957.50     0.010  0.050    0.182  0.071    0.001  0.004    0.006  0.003   -0.004  0.002
962.50     0.010  0.052    0.185  0.074    0.001  0.004    0.007  0.003   -0.004  0.002
967.50     0.010  0.054    0.188  0.077    0.001  0.004    0.007  0.003   -0.004  0.002
972.50     0.010  0.055    0.191  0.080    0.001  0.004    0.007  0.003   -0.004  0.002
977.50     0.010  0.057    0.194  0.083    0.001  0.004    0.007  0.003   -0.004  0.002
982.50     0.010  0.059    0.197  0.086    0.001  0.004    0.007  0.003   -0.004  0.002
987.50     0.010  0.061    0.199  0.089    0.001  0.004    0.007  0.003   -0.004  0.002
992.50     0.009  0.063    0.202  0.093    0.001  0.004    0.007  0.004   -0.004  0.002
997.50     0.009  0.065    0.205  0.096    0.000  0.004    0.008  0.004   -0.004  0.002
1002.50    0.009  0.067    0.208  0.100    0.000  0.005    0.008  0.004   -0.004  0.002
1007.50    0.008  0.069    0.211  0.104    0.000  0.005    0.008  0.004   -0.004  0.002
1012.50    0.008  0.071    0.213  0.107    0.000  0.005    0.008  0.004   -0.004  0.003
1017.50    0.008  0.073    0.216  0.111    0.000  0.005    0.008  0.004   -0.004  0.003
1022.50    0.007  0.075    0.219  0.116    0.000  0.005    0.008  0.004   -0.004  0.003
1027.50    0.006  0.077    0.222  0.120    0.000  0.005    0.008  0.004   -0.005  0.003
1032.50    0.006  0.079    0.224  0.124    0.000  0.005    0.009  0.004   -0.005  0.003
1037.50    0.005  0.082    0.227  0.129    0.000  0.005    0.009  0.005   -0.005  0.003
1042.50    0.004  0.084    0.230  0.134    0.000  0.006    0.009  0.005   -0.005  0.003
1047.50    0.003  0.086    0.232  0.138    0.000  0.006    0.009  0.005   -0.005  0.003
1052.50    0.002  0.088    0.235  0.144    0.000  0.006    0.009  0.005   -0.005  0.003
1057.50    0.001  0.090    0.237  0.149    0.000  0.006    0.009  0.005   -0.005  0.003
1062.50    0.000  0.093    0.239  0.154    0.000  0.006    0.010  0.005   -0.005  0.003
1067.50   -0.001  0.095    0.241  0.160    0.000  0.006    0.010  0.005   -0.005  0.003
1072.50   -0.002  0.097    0.244  0.165    0.000  0.006    0.010  0.006   -0.005  0.003
1077.50   -0.004  0.099    0.246  0.171    0.000  0.007    0.010  0.006   -0.005  0.003
1082.50   -0.005  0.101    0.247  0.177    0.000  0.007    0.010  0.006   -0.005  0.003
1087.50   -0.007  0.103    0.249  0.184    0.000  0.007    0.010  0.006   -0.006  0.003
1092.50   -0.009  0.105    0.251  0.190    0.000  0.007    0.011  0.006   -0.006  0.004
1097.50   -0.010  0.107    0.252  0.196    0.000  0.007    0.011  0.006   -0.006  0.004
1102.50   -0.012  0.109    0.254  0.203    0.000  0.007    0.011  0.007   -0.006  0.004
1107.50   -0.014  0.111    0.255  0.210    0.000  0.008    0.011  0.007   -0.006  0.004
1112.50   -0.016  0.113    0.256  0.217   -0.001  0.008    0.011  0.007   -0.006  0.004
1117.50   -0.018  0.115    0.257  0.224   -0.001  0.008    0.011  0.007   -0.006  0.004
1122.50   -0.020  0.117    0.257  0.232   -0.001  0.008    0.012  0.007   -0.006  0.004
1127.50   -0.022  0.118    0.257  0.239   -0.001  0.008    0.012  0.008   -0.006  0.004
1132.50   -0.025  0.120    0.257  0.247   -0.001  0.008    0.012  0.008   -0.006  0.004
1137.50   -0.027  0.121    0.257  0.255   -0.001  0.009    0.012  0.008   -0.006  0.004
1142.50   -0.029  0.123    0.257  0.263   -0.001  0.009    0.012  0.008   -0.006  0.004
1147.50   -0.032  0.124    0.256  0.271   -0.001  0.009    0.012  0.008   -0.007  0.004
1152.50   -0.034  0.125    0.255  0.279   -0.001  0.009    0.013  0.009   -0.007  0.004
1157.50   -0.036  0.126    0.254  0.287   -0.001  0.009    0.013  0.009   -0.007  0.005
1162.50   -0.039  0.127    0.252  0.295   -0.001  0.010    0.013  0.009   -0.007  0.005
1167.50   -0.041  0.128    0.250  0.304   -0.001  0.010    0.013  0.009   -0.007  0.005
1172.50   -0.044  0.129    0.248  0.312   -0.001  0.010    0.013  0.009   -0.007  0.005
1177.50   -0.046  0.130    0.245  0.320   -0.001  0.010    0.013  0.010   -0.007  0.005
1182.50   -0.049  0.131    0.242  0.329   -0.001  0.010    0.014  0.010   -0.007  0.005
1187.50   -0.051  0.131    0.239  0.337   -0.002  0.011    0.014  0.010   -0.007  0.005
1192.50   -0.054  0.132    0.235  0.345   -0.002  0.011    0.014  0.010   -0.007  0.005
1197.50   -0.056  0.132    0.231  0.354   -0.002  0.011    0.014  0.011   -0.008  0.005
1202.50   -0.059  0.132    0.226  0.362   -0.002  0.011    0.014  0.011   -0.008  0.005
1207.50   -0.061  0.133    0.221  0.370   -0.002  0.011    0.014  0.011   -0.008  0.005
1212.50   -0.064  0.133    0.216  0.378   -0.002  0.012    0.015  0.011   -0.008  0.005
1217.50   -0.066  0.133    0.210  0.385   -0.002  0.012    0.015  0.012   -0.008  0.006
1222.50   -0.068  0.133    0.204  0.393   -0.002  0.012    0.015  0.012   -0.008  0.006
1227.50   -0.071  0.133    0.198  0.400   -0.002  0.012    0.015  0.012   -0.008  0.006
1232.50   -0.073  0.133    0.191  0.407   -0.002  0.013    0.015  0.012   -0.008  0.006
1237.50   -0.075  0.132    0.184  0.414   -0.002  0.013    0.015  0.013   -0.008  0.006
1242.50   -0.077  0.132    0.177  0.421   -0.002  0.013    0.016  0.013   -0.008  0.006
1247.50   -0.079  0.132    0.169  0.427   -0.003  0.013    0.016  0.013   -0.009  0.006
1252.50   -0.081  0.131    0.161  0.433   -0.003  0.014    0.016  0.014   -0.009  0.006
1257.50   -0.083  0.131    0.153  0.438   -0.003  0.014    0.016  0.014   -0.009  0.006
1262.50   -0.085  0.130    0.145  0.443   -0.003  0.014    0.016  0.014   -0.009  0.006
1267.50   -0.087  0.130    0.136  0.448   -0.003  0.014    0.016  0.014   -0.009  0.007
1272.50   -0.089  0.129    0.127  0.452   -0.003  0.015    0.017  0.015   -0.009  0.007
1277.50   -0.090  0.129    0.118  0.456   -0.003  0.015    0.017  0.015   -0.009  0.007
1282.50   -0.092  0.128    0.109  0.460   -0.003  0.015    0.017  0.015   -0.009  0.007
1287.50   -0.094  0.127    0.100  0.463   -0.003  0.015    0.017  0.016   -0.009  0.007
1292.50   -0.095  0.127    0.090  0.466   -0.003  0.016    0.017  0.016   -0.010  0.007
1297.50   -0.097  0.126    0.081  0.468   -0.004  0.016    0.017  0.016   -0.010  0.007
1302.50   -0.098  0.125    0.072  0.470   -0.004  0.016    0.018  0.017   -0.010  0.007
1307.50   -0.100  0.125    0.062  0.471   -0.004  0.017    0.018  0.017   -0.010  0.007
1312.50   -0.101  0.124    0.053  0.472   -0.004  0.017    0.018  0.017   -0.010  0.008
1317.50   -0.102  0.123    0.043  0.473   -0.004  0.017    0.018  0.018   -0.010  0.008
1322.50   -0.103  0.122    0.034  0.473   -0.004  0.017    0.018  0.018   -0.010  0.008
1327.50   -0.105  0.122    0.025  0.473   -0.004  0.018    0.018  0.018   -0.010  0.008
1332.50   -0.106  0.121    0.016  0.472   -0.004  0.018    0.019  0.019   -0.010  0.008
1337.50   -0.107  0.120    0.007  0.472   -0.005  0.018    0.019  0.019   -0.011  0.008
1342.50   -0.108  0.119   -0.002  0.470   -0.005  0.019    0.019  0.019   -0.011  0.008
1347.50   -0.109  0.118   -0.010  0.469   -0.005  0.019    0.019  0.020   -0.011  0.008
1352.50   -0.110  0.118   -0.019  0.467   -0.005  0.019    0.019  0.020   -0.011  0.008
1357.50   -0.110  0.117   -0.027  0.465   -0.005  0.020    0.019  0.020   -0.011  0.009
1362.50   -0.111  0.116   -0.035  0.462   -0.005  0.020    0.019  0.021   -0.011  0.009
1367.50   -0.112  0.115   -0.042  0.459   -0.005  0.020    0.020  0.021   -0.011  0.009
1372.50   -0.113  0.115   -0.050  0.456   -0.006  0.021    0.020  0.022   -0.011  0.009
1377.50   -0.113  0.114   -0.057  0.453   -0.006  0.021    0.020  0.022   -0.012  0.009
1382.50   -0.114  0.113   -0.064  0.450   -0.006  0.021    0.020  0.022   -0.012  0.009
1387.50   -0.115  0.112   -0.071  0.446   -0.006  0.022    0.020  0.023   -0.012  0.009
1392.50   -0.115  0.112   -0.077  0.442   -0.006  0.022    0.020  0.023   -0.012  0.009
1397.50   -0.116  0.111   -0.084  0.438   -0.006  0.022    0.020  0.023   -0.012  0.010
1402.50   -0.116  0.110   -0.089  0.434   -0.006  0.023    0.020  0.024   -0.012  0.010
1407.50   -0.117  0.110   -0.095  0.430   -0.007  0.023    0.021  0.024   -0.012  0.010
1412.50   -0.117  0.109   -0.101  0.426   -0.007  0.023    0.021  0.025   -0.012  0.010
1417.50   -0.118  0.108   -0.106  0.421   -0.007  0.024    0.021  0.025   -0.013  0.010
1422.50   -0.118  0.108   -0.111  0.417   -0.007  0.024    0.021  0.025   -0.013  0.010
1427.50   -0.118  0.107   -0.116  0.412   -0.007  0.024    0.021  0.026   -0.013  0.010
1432.50   -0.119  0.106   -0.120  0.408   -0.007  0.025    0.021  0.026   -0.013  0.010
1437.50   -0.119  0.106   -0.124  0.403   -0.008  0.025    0.021  0.027   -0.013  0.011
1442.50   -0.119  0.105   -0.128  0.398   -0.008  0.026    0.021  0.027   -0.013  0.011
1447.50   -0.119  0.105   -0.132  0.393   -0.008  0.026    0.021  0.028   -0.013  0.011
1452.50   -0.120  0.104   -0.136  0.389   -0.008  0.026    0.022  0.028   -0.014  0.011
1457.50   -0.120  0.104   -0.139  0.384   -0.008  0.027    0.022  0.028   -0.014  0.011
1462.50   -0.120  0.103   -0.142  0.379   -0.008  0.027    0.022  0.029   -0.014  0.011
1467.50   -0.120  0.103   -0.145  0.375   -0.009  0.027    0.022  0.029   -0.014  0.011
1472.50   -0.120  0.102   -0.148  0.370   -0.009  0.028    0.022  0.030   -0.014  0.012
1477.50   -0.120  0.102   -0.151  0.365   -0.009  0.028    0.022  0.030   -0.014  0.012
1482.50   -0.120  0.102   -0.153  0.361   -0.009  0.029    0.022  0.031   -0.014  0.012
1487.50   -0.120  0.101   -0.155  0.356   -0.009  0.029    0.022  0.031   -0.015  0.012
1492.50   -0.120  0.101   -0.157  0.351   -0.010  0.029    0.022  0.032   -0.015  0.012
1497.50   -0.120  0.100   -0.159  0.347   -0.010  0.030    0.022  0.032   -0.015  0.012
1502.50   -0.120  0.100   -0.161  0.342   -0.010  0.030    0.022  0.032   -0.015  0.012
1507.50   -0.120  0.100   -0.163  0.338   -0.010  0.031    0.022  0.033   -0.015  0.013
1512.50   -0.120  0.099   -0.164  0.334   -0.010  0.031    0.022  0.033   -0.015  0.013
1517.50   -0.120  0.099   -0.166  0.329   -0.011  0.032    0.023  0.034   -0.015  0.013
1522.50   -0.120  0.099   -0.167  0.325   -0.011  0.032    0.023  0.034   -0.016  0.013
1527.50   -0.120  0.099   -0.168  0.321   -0.011  0.032    0.023  0.035   -0.016  0.013
1532.50   -0.120  0.098   -0.169  0.317   -0.011  0.033    0.023  0.035   -0.016  0.013
1537.50   -0.120  0.098   -0.170  0.313   -0.012  0.033    0.023  0.036   -0.016  0.014
1542.50   -0.120  0.098   -0.170  0.309   -0.012  0.034    0.023  0.036   -0.016  0.014
1547.50   -0.120  0.098   -0.171  0.305   -0.012  0.034    0.023  0.037   -0.016  0.014
1552.50   -0.120  0.097   -0.172  0.301   -0.012  0.035    0.023  0.037   -0.016  0.014
1557.50   -0.119  0.097   -0.172  0.297   -0.012  0.035    0.023  0.038   -0.017  0.014
1562.50   -0.119  0.097   -0.173  0.293   -0.013  0.036    0.023  0.038   -0.017  0.014
1567.50   -0.119  0.097   -0.173  0.289   -0.013  0.036    0.023  0.039   -0.017  0.015
1572.50   -0.119  0.097   -0.173  0.286   -0.013  0.036    0.023  0.039   -0.017  0.015
1577.50   -0.119  0.097   -0.173  0.282   -0.013  0.037    0.023  0.040   -0.017  0.015
1582.50   -0.118  0.097   -0.173  0.279   -0.014  0.037    0.023  0.040   -0.017  0.015
1587.50   -0.118  0.097   -0.173  0.275   -0.014  0.038    0.023  0.041   -0.017  0.015
1592.50   -0.118  0.097   -0.173  0.272   -0.014  0.038    0.023  0.041   -0.018  0.015
1597.50   -0.118  0.097   -0.173  0.269   -0.014  0.039    0.023  0.042   -0.018  0.015
1602.50   -0.117  0.097   -0.173  0.265   -0.015  0.039    0.023  0.042   -0.018  0.016
1607.50   -0.117  0.097   -0.173  0.262   -0.015  0.040    0.023  0.043   -0.018  0.016
1612.50   -0.117  0.097   -0.172  0.259   -0.015  0.040    0.023  0.043   -0.018  0.016
1617.50   -0.117  0.097   -0.172  0.256   -0.015  0.041    0.023  0.044   -0.018  0.016
1622.50   -0.116  0.097   -0.172  0.253   -0.016  0.041    0.023  0.044   -0.019  0.016
1627.50   -0.116  0.097   -0.171  0.250   -0.016  0.042    0.023  0.045   -0.019  0.017
1632.50   -0.116  0.097   -0.171  0.247   -0.016  0.042    0.023  0.045   -0.019  0.017
1637.50   -0.115  0.097   -0.170  0.244   -0.017  0.043    0.023  0.046   -0.019  0.017
1642.50   -0.115  0.097   -0.170  0.241   -0.017  0.043    0.023  0.046   -0.019  0.017
1647.50   -0.115  0.097   -0.169  0.239   -0.017  0.044    0.023  0.047   -0.019  0.017
1652.50   -0.114  0.097   -0.169  0.236   -0.017  0.044    0.023  0.047   -0.020  0.017
1657.50   -0.114  0.097   -0.168  0.233   -0.018  0.045    0.023  0.048   -0.020  0.018
1662.50   -0.114  0.097   -0.167  0.231   -0.018  0.045    0.023  0.048   -0.020  0.018
1667.50   -0.113  0.098   -0.166  0.228   -0.018  0.046    0.023  0.049   -0.020  0.018
1672.50   -0.113  0.098   -0.166  0.226   -0.019  0.046    0.023  0.049   -0.020  0.018
1677.50   -0.113  0.098   -0.165  0.223   -0.019  0.047    0.023  0.050   -0.020  0.018
1682.50   -0.112  0.098   -0.164  0.221   -0.019  0.047    0.023  0.050   -0.021  0.019
1687.50   -0.112  0.098   -0.163  0.219   -0.020  0.048    0.023  0.051   -0.021  0.019
1692.50   -0.111  0.099   -0.162  0.217   -0.020  0.049    0.023  0.051   -0.021  0.019
1697.50   -0.111  0.099   -0.162  0.214   -0.020  0.049    0.023  0.052   -0.021  0.019
1702.50   -0.111  0.099   -0.161  0.212   -0.021  0.050    0.023  0.052   -0.021  0.019
1707.50   -0.110  0.099   -0.160  0.210   -0.021  0.050    0.023  0.053   -0.021  0.019
1712.50   -0.110  0.100   -0.159  0.208   -0.021  0.051    0.023  0.053   -0.022  0.020
1717.50   -0.109  0.100   -0.158  0.206   -0.021  0.051    0.023  0.054   -0.022  0.020
1722.50   -0.109  0.100   -0.157  0.204   -0.022  0.052    0.022  0.054   -0.022  0.020
1727.50   -0.109  0.101   -0.156  0.202   -0.022  0.052    0.022  0.055   -0.022  0.020
1732.50   -0.108  0.101   -0.155  0.200   -0.023  0.053    0.022  0.055   -0.022  0.020
1737.50   -0.108  0.101   -0.154  0.198   -0.023  0.053    0.022  0.056   -0.022  0.021
1742.50   -0.107  0.102   -0.153  0.196   -0.023  0.054    0.022  0.056   -0.023  0.021
1747.50   -0.107  0.102   -0.152  0.194   -0.024  0.055    0.022  0.057   -0.023  0.021
1752.50   -0.106  0.102   -0.151  0.193   -0.024  0.055    0.022  0.057   -0.023  0.021
1757.50   -0.106  0.103   -0.150  0.191   -0.024  0.056    0.022  0.058   -0.023  0.021
1762.50   -0.106  0.103   -0.149  0.189   -0.025  0.056    0.022  0.059   -0.023  0.022
1767.50   -0.105  0.104   -0.148  0.187   -0.025  0.057    0.022  0.059   -0.023  0.022
1772.50   -0.105  0.104   -0.147  0.186   -0.025  0.058    0.022  0.060   -0.024  0.022
1777.50   -0.104  0.105   -0.146  0.184   -0.026  0.058    0.022  0.060   -0.024  0.022
1782.50   -0.104  0.105   -0.145  0.183   -0.026  0.059    0.021  0.061   -0.024  0.022
1787.50   -0.103  0.105   -0.144  0.181   -0.026  0.059    0.021  0.061   -0.024  0.023
1792.50   -0.103  0.106   -0.143  0.180   -0.027  0.060    0.021  0.062   -0.024  0.023
1797.50   -0.102  0.106   -0.141  0.178   -0.027  0.060    0.021  0.062   -0.025  0.023
1802.50   -0.102  0.107   -0.140  0.177   -0.028  0.061    0.021  0.063   -0.025  0.023
1807.50   -0.101  0.108   -0.139  0.175   -0.028  0.062    0.021  0.063   -0.025  0.023
1812.50   -0.101  0.108   -0.138  0.174   -0.028  0.062    0.021  0.064   -0.025  0.024
1817.50   -0.100  0.109   -0.137  0.173   -0.029  0.063    0.021  0.064   -0.025  0.024
1822.50   -0.100  0.109   -0.136  0.171   -0.029  0.064    0.021  0.065   -0.025  0.024
1827.50   -0.099  0.110   -0.135  0.170   -0.030  0.064    0.021  0.065   -0.026  0.024
1832.50   -0.099  0.110   -0.134  0.169   -0.030  0.065    0.020  0.066   -0.026  0.024
1837.50   -0.099  0.111   -0.132  0.167   -0.030  0.065    0.020  0.067   -0.026  0.025
1842.50   -0.098  0.111   -0.131  0.166   -0.031  0.066    0.020  0.067   -0.026  0.025
1847.50   -0.098  0.112   -0.130  0.165   -0.031  0.067    0.020  0.068   -0.026  0.025
1852.50   -0.097  0.113   -0.129  0.164   -0.032  0.067    0.020  0.068   -0.027  0.025
1857.50   -0.097  0.113   -0.128  0.163   -0.032  0.068    0.020  0.069   -0.027  0.026
1862.50   -0.096  0.114   -0.127  0.161   -0.032  0.068    0.020  0.069   -0.027  0.026
1867.50   -0.096  0.115   -0.126  0.160   -0.033  0.069    0.020  0.070   -0.027  0.026
1872.50   -0.095  0.115   -0.124  0.159   -0.033  0.070    0.019  0.070   -0.027  0.026
1877.50   -0.095  0.116   -0.123  0.158   -0.034  0.070    0.019  0.071   -0.028  0.026
1882.50   -0.094  0.117   -0.122  0.157   -0.034  0.071    0.019  0.071   -0.028  0.027
1887.50   -0.094  0.117   -0.121  0.156   -0.035  0.072    0.019  0.072   -0.028  0.027
1892.50   -0.093  0.118   -0.120  0.155   -0.035  0.072    0.019  0.072   -0.028  0.027
1897.50   -0.093  0.119   -0.119  0.154   -0.036  0.073    0.019  0.073   -0.028  0.027
1902.50   -0.092  0.120   -0.118  0.153   -0.036  0.074    0.019  0.073   -0.029  0.028
1907.50   -0.092  0.120   -0.116  0.152   -0.036  0.074    0.018  0.074   -0.029  0.028
1912.50   -0.091  0.121   -0.115  0.151   -0.037  0.075    0.018  0.074   -0.029  0.028
1917.50   -0.091  0.122   -0.114  0.150   -0.037  0.076    0.018  0.075   -0.029  0.028
1922.50   -0.090  0.123   -0.113  0.149   -0.038  0.076    0.018  0.076   -0.029  0.028
1927.50   -0.090  0.123   -0.112  0.148   -0.038  0.077    0.018  0.076   -0.030  0.029
1932.50   -0.089  0.124   -0.111  0.148   -0.039  0.078    0.018  0.077   -0.030  0.029
1937.50   -0.089  0.125   -0.110  0.147   -0.039  0.078    0.017  0.077   -0.030  0.029
1942.50   -0.088  0.126   -0.108  0.146   -0.040  0.079    0.017  0.078   -0.030  0.029
1947.50   -0.088  0.127   -0.107  0.145   -0.040  0.080    0.017  0.078   -0.030  0.030
1952.50   -0.087  0.128   -0.106  0.144   -0.041  0.080    0.017  0.079   -0.031  0.030
1957.50   -0.087  0.128   -0.105  0.144   -0.041  0.081    0.017  0.079   -0.031  0.030
1962.50   -0.086  0.129   -0.104  0.143   -0.042  0.082    0.017  0.080   -0.031  0.030
1967.50   -0.086  0.130   -0.103  0.142   -0.042  0.082    0.017  0.080   -0.031  0.031
1972.50   -0.085  0.131   -0.102  0.141   -0.043  0.083    0.016  0.081   -0.031  0.031
1977.50   -0.085  0.132   -0.100  0.141   -0.043  0.084    0.016  0.081   -0.032  0.031
1982.50   -0.084  0.133   -0.099  0.140   -0.044  0.084    0.016  0.082   -0.032  0.031
1987.50   -0.084  0.134   -0.098  0.139   -0.044  0.085    0.016  0.082   -0.032  0.032
1992.50   -0.083  0.135   -0.097  0.139   -0.045  0.086    0.016  0.083   -0.032  0.032
1997.50   -0.083  0.136   -0.096  0.138   -0.045  0.086    0.015  0.083   -0.032  0.032
2002.50   -0.082  0.137   -0.095  0.137   -0.046  0.087    0.015  0.084   -0.033  0.032
2007.50   -0.082  0.138   -0.094  0.137   -0.046  0.088    0.015  0.085   -0.033  0.033
2012.50   -0.081  0.139   -0.092  0.136   -0.047  0.089    0.015  0.085   -0.033  0.033
2017.50   -0.081  0.140   -0.091  0.135   -0.047  0.089    0.015  0.086   -0.033  0.033
2022.50   -0.080  0.141   -0.090  0.135   -0.048  0.090    0.015  0.086   -0.033  0.033
2027.50   -0.080  0.142   -0.089  0.134   -0.048  0.091    0.014  0.087   -0.034  0.033
2032.50   -0.079  0.143   -0.088  0.134   -0.049  0.091    0.014  0.087   -0.034  0.034
2037.50   -0.079  0.144   -0.087  0.133   -0.049  0.092    0.014  0.088   -0.034  0.034
2042.50   -0.078  0.145   -0.086  0.133   -0.050  0.093    0.014  0.088   -0.034  0.034
2047.50   -0.078  0.146   -0.085  0.132   -0.050  0.093    0.014  0.089   -0.034  0.034
2052.50   -0.077  0.147   -0.083  0.131   -0.051  0.094    0.013  0.089   -0.035  0.035
2057.50   -0.077  0.148   -0.082  0.131   -0.052  0.095    0.013  0.090   -0.035  0.035
2062.50   -0.076  0.149   -0.081  0.130   -0.052  0.096    0.013  0.090   -0.035  0.035
2067.50   -0.076  0.150   -0.080  0.130   -0.053  0.096    0.013  0.091   -0.035  0.035
2072.50   -0.075  0.151   -0.079  0.129   -0.053  0.097    0.013  0.091   -0.036  0.036
2077.50   -0.075  0.152   -0.078  0.129   -0.054  0.098    0.012  0.092   -0.036  0.036
2082.50   -0.075  0.153   -0.077  0.129   -0.054  0.098    0.012  0.092   -0.036  0.036
2087.50   -0.074  0.154   -0.076  0.128   -0.055  0.099    0.012  0.093   -0.036  0.037
2092.50   -0.074  0.155   -0.075  0.128   -0.055  0.100    0.012  0.093   -0.036  0.037
2097.50   -0.073  0.156   -0.073  0.127   -0.056  0.101    0.012  0.094   -0.037  0.037
2102.50   -0.073  0.158   -0.072  0.127   -0.057  0.101    0.011  0.094   -0.037  0.037
2107.50   -0.072  0.159   -0.071  0.126   -0.057  0.102    0.011  0.095   -0.037  0.038
2112.50   -0.072  0.160   -0.070  0.126   -0.058  0.103    0.011  0.096   -0.037  0.038
2117.50   -0.071  0.161   -0.069  0.126   -0.058  0.104    0.011  0.096   -0.037  0.038
2122.50   -0.071  0.162   -0.068  0.125   -0.059  0.104    0.011  0.097   -0.038  0.038
2127.50   -0.071  0.163   -0.067  0.125   -0.060  0.105    0.010  0.097   -0.038  0.039
2132.50   -0.070  0.164   -0.066  0.124   -0.060  0.106    0.010  0.098   -0.038  0.039
2137.50   -0.070  0.166   -0.065  0.124   -0.061  0.106    0.010  0.098   -0.038  0.039
2142.50   -0.069  0.167   -0.064  0.124   -0.061  0.107    0.010  0.099   -0.039  0.039
2147.50   -0.069  0.168   -0.063  0.123   -0.062  0.108    0.010  0.099   -0.039  0.040
2152.50   -0.069  0.169   -0.062  0.123   -0.063  0.109    0.009  0.100   -0.039  0.040
2157.50   -0.068  0.171   -0.060  0.123   -0.063  0.109    0.009  0.100   -0.039  0.040
2162.50   -0.068  0.172   -0.059  0.122   -0.064  0.110    0.009  0.101   -0.039  0.040
2167.50   -0.067  0.173   -0.058  0.122   -0.064  0.111    0.009  0.101   -0.040  0.041
2172.50   -0.067  0.174   -0.057  0.122   -0.065  0.112    0.009  0.102   -0.040  0.041
2177.50   -0.067  0.175   -0.056  0.122   -0.066  0.112    0.008  0.102   -0.040  0.041
2182.50   -0.066  0.177   -0.055  0.121   -0.066  0.113    0.008  0.103   -0.040  0.042
2187.50   -0.066  0.178   -0.054  0.121   -0.067  0.114    0.008  0.103   -0.041  0.042
2192.50   -0.065  0.179   -0.053  0.121   -0.067  0.115    0.008  0.104   -0.041  0.042
2197.50   -0.065  0.181   -0.052  0.120   -0.068  0.115    0.007  0.104   -0.041  0.042
2202.50   -0.065  0.182   -0.051  0.120   -0.069  0.116    0.007  0.105   -0.041  0.043
2207.50   -0.064  0.183   -0.050  0.120   -0.069  0.117    0.007  0.105   -0.042  0.043
2212.50   -0.064  0.184   -0.049  0.120   -0.070  0.118    0.007  0.106   -0.042  0.043
2217.50   -0.064  0.186   -0.048  0.119   -0.071  0.118    0.007  0.106   -0.042  0.043
2222.50   -0.063  0.187   -0.047  0.119   -0.071  0.119    0.006  0.107   -0.042  0.044
2227.50   -0.063  0.188   -0.046  0.119   -0.072  0.120    0.006  0.108   -0.042  0.044
2232.50   -0.063  0.190   -0.045  0.119   -0.073  0.121    0.006  0.108   -0.043  0.044
2237.50   -0.062  0.191   -0.044  0.119   -0.073  0.121    0.006  0.109   -0.043  0.045
2242.50   -0.062  0.192   -0.043  0.118   -0.074  0.122    0.005  0.109   -0.043  0.045
2247.50   -0.062  0.194   -0.042  0.118   -0.074  0.123    0.005  0.110   -0.043  0.045
2252.50   -0.062  0.195   -0.041  0.118   -0.075  0.124    0.005  0.110   -0.044  0.045
2257.50   -0.061  0.196   -0.040  0.118   -0.076  0.125    0.005  0.111   -0.044  0.046
2262.50   -0.061  0.198   -0.039  0.118   -0.076  0.125    0.004  0.111   -0.044  0.046
2267.50   -0.061  0.199   -0.038  0.117   -0.077  0.126    0.004  0.112   -0.044  0.046
2272.50   -0.060  0.200   -0.036  0.117   -0.078  0.127    0.004  0.112   -0.045  0.047
2277.50   -0.060  0.202   -0.035  0.117   -0.078  0.128    0.004  0.113   -0.045  0.047
2282.50   -0.060  0.203   -0.034  0.117   -0.079  0.128    0.004  0.113   -0.045  0.047
2287.50   -0.060  0.205   -0.033  0.117   -0.080  0.129    0.003  0.114   -0.045  0.047
2292.50   -0.059  0.206   -0.032  0.117   -0.080  0.130    0.003  0.114   -0.045  0.048
2297.50   -0.059  0.207   -0.031  0.117   -0.081  0.131    0.003  0.115   -0.046  0.048
2302.50   -0.059  0.209   -0.030  0.116   -0.082  0.131    0.003  0.115   -0.046  0.048
2307.50   -0.059  0.210   -0.029  0.116   -0.082  0.132    0.002  0.116   -0.046  0.049
2312.50   -0.058  0.212   -0.028  0.116   -0.083  0.133    0.002  0.116   -0.046  0.049
2317.50   -0.058  0.213   -0.027  0.116   -0.084  0.134    0.002  0.117   -0.047  0.049
2322.50   -0.058  0.214   -0.026  0.116   -0.085  0.135    0.002  0.117   -0.047  0.049
2327.50   -0.058  0.216   -0.025  0.116   -0.085  0.135    0.001  0.118   -0.047  0.050
2332.50   -0.057  0.217   -0.024  0.116   -0.086  0.136    0.001  0.118   -0.047  0.050
2337.50   -0.057  0.219   -0.023  0.116   -0.087  0.137    0.001  0.119   -0.048  0.050
2342.50   -0.057  0.220   -0.022  0.116   -0.087  0.138    0.001  0.119   -0.048  0.051
2347.50   -0.057  0.222   -0.021  0.115   -0.088  0.138    0.001  0.120   -0.048  0.051
2352.50   -0.057  0.223   -0.020  0.115   -0.089  0.139    0.000  0.120   -0.048  0.051
2357.50   -0.056  0.224   -0.020  0.115   -0.089  0.140    0.000  0.121   -0.049  0.051
2362.50   -0.056  0.226   -0.019  0.115   -0.090  0.141    0.000  0.122   -0.049  0.052
2367.50   -0.056  0.227   -0.018  0.115   -0.091  0.142    0.000  0.122   -0.049  0.052
2372.50   -0.056  0.229   -0.017  0.115   -0.092  0.142   -0.001  0.123   -0.049  0.052
2377.50   -0.056  0.230   -0.016  0.115   -0.092  0.143   -0.001  0.123   -0.050  0.053
2382.50   -0.056  0.232   -0.015  0.115   -0.093  0.144   -0.001  0.124   -0.050  0.053
2387.50   -0.056  0.233   -0.014  0.115   -0.094  0.145   -0.001  0.124   -0.050  0.053
2392.50   -0.055  0.235   -0.013  0.115   -0.094  0.145   -0.002  0.125   -0.050  0.054
2397.50   -0.055  0.236   -0.012  0.115   -0.095  0.146   -0.002  0.125   -0.051  0.054
2402.50   -0.055  0.238   -0.011  0.115   -0.096  0.147   -0.002  0.126   -0.051  0.054
2407.50   -0.055  0.239   -0.010  0.115   -0.097  0.148   -0.002  0.126   -0.051  0.054
2412.50   -0.055  0.241   -0.009  0.115   -0.097  0.149   -0.003  0.127   -0.051  0.055
2417.50   -0.055  0.242   -0.008  0.115   -0.098  0.149   -0.003  0.127   -0.052  0.055
2422.50   -0.055  0.243   -0.007  0.115   -0.099  0.150   -0.003  0.128   -0.052  0.055
2427.50   -0.055  0.245   -0.006  0.115   -0.099  0.151   -0.003  0.128   -0.052  0.056
2432.50   -0.055  0.246   -0.005  0.115   -0.100  0.152   -0.004  0.129   -0.052  0.056
2437.50   -0.054  0.248   -0.004  0.115   -0.101  0.152   -0.004  0.129   -0.053  0.056
2442.50   -0.054  0.249   -0.003  0.115   -0.102  0.153   -0.004  0.130   -0.053  0.057
2447.50   -0.054  0.251   -0.002  0.115   -0.102  0.154   -0.004  0.130   -0.053  0.057
2452.50   -0.054  0.252   -0.001  0.115   -0.103  0.155   -0.005  0.131   -0.053  0.057
2457.50   -0.054  0.254    0.000  0.115   -0.104  0.156   -0.005  0.131   -0.054  0.058
2462.50   -0.054  0.255    0.001  0.115   -0.105  0.156   -0.005  0.132   -0.054  0.058
2467.50   -0.054  0.257    0.002  0.115   -0.105  0.157   -0.005  0.132   -0.054  0.058
2472.50   -0.054  0.258    0.002  0.115   -0.106  0.158   -0.006  0.133   -0.054  0.058
2477.50   -0.054  0.260    0.003  0.115   -0.107  0.159   -0.006  0.133   -0.055  0.059
2482.50   -0.054  0.261    0.004  0.115   -0.107  0.160   -0.006  0.134   -0.055  0.059
2487.50   -0.054  0.263    0.005  0.115   -0.108  0.160   -0.006  0.135   -0.055  0.059
2492.50   -0.054  0.264    0.006  0.115   -0.109  0.161   -0.007  0.135   -0.055  0.060
2497.50   -0.054  0.266    0.007  0.115   -0.110  0.162   -0.007  0.136   -0.056  0.060
2502.50   -0.054  0.268    0.008  0.115   -0.110  0.163   -0.007  0.136   -0.056  0.060
2507.50   -0.054  0.269    0.009  0.115   -0.111  0.163   -0.007  0.137   -0.056  0.061
2512.50   -0.054  0.271    0.010  0.115   -0.112  0.164   -0.008  0.137   -0.056  0.061
2517.50   -0.054  0.272    0.011  0.115   -0.113  0.165   -0.008  0.138   -0.057  0.061
2522.50   -0.054  0.274    0.012  0.115   -0.113  0.166   -0.008  0.138   -0.057  0.062
2527.50   -0.054  0.275    0.013  0.115   -0.114  0.167   -0.008  0.139   -0.057  0.062
2532.50   -0.054  0.277    0.014  0.115   -0.115  0.167   -0.009  0.139   -0.057  0.062
2537.50   -0.054  0.278    0.014  0.115   -0.116  0.168   -0.009  0.140   -0.058  0.063
2542.50   -0.054  0.280    0.015  0.115   -0.116  0.169   -0.009  0.140   -0.058  0.063
2547.50   -0.054  0.281    0.016  0.115   -0.117  0.170   -0.009  0.141   -0.058  0.063
2552.50   -0.055  0.283    0.017  0.115   -0.118  0.171   -0.010  0.141   -0.058  0.064
2557.50   -0.055  0.284    0.018  0.116   -0.119  0.171   -0.010  0.142   -0.059  0.064
2562.50   -0.055  0.286    0.019  0.116   -0.120  0.172   -0.010  0.142   -0.059  0.064
2567.50   -0.055  0.287    0.020  0.116   -0.120  0.173   -0.010  0.143   -0.059  0.064
2572.50   -0.055  0.289    0.021  0.116   -0.121  0.174   -0.011  0.143   -0.059  0.065
2577.50   -0.055  0.290    0.022  0.116   -0.122  0.174   -0.011  0.144   -0.060  0.065
2582.50   -0.055  0.292    0.022  0.116   -0.123  0.175   -0.011  0.144   -0.060  0.065
2587.50   -0.055  0.293    0.023  0.116   -0.123  0.176   -0.011  0.145   -0.060  0.066
2592.50   -0.055  0.295    0.024  0.116   -0.124  0.177   -0.012  0.146   -0.061  0.066
2597.50   -0.055  0.296    0.025  0.116   -0.125  0.178   -0.012  0.146   -0.061  0.066

Tlab      5,3,11          6,3,11          6,3,13          7,3,13          7,3,15          
2.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
7.50       0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
12.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
17.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
22.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
27.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
32.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
37.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
42.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
47.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
52.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
57.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
62.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
67.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
72.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
77.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
82.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
87.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
92.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
97.50      0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
102.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
107.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
112.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
117.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
122.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
127.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
132.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
137.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
142.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
147.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
152.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
157.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
162.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
167.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
172.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
177.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
182.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
187.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
192.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
197.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
202.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
207.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
212.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
217.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
222.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
227.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
232.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
237.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
242.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
247.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
252.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
257.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
262.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
267.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
272.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
277.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
282.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
287.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
292.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
297.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
302.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
307.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
312.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
317.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
322.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
327.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
332.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
337.50     0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
342.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
347.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
352.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
357.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
362.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
367.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
372.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
377.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
382.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
387.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
392.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
397.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
402.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
407.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
412.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
417.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
422.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
427.50     0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000    0.000  0.000
432.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
437.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
442.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
447.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
452.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
457.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
462.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
467.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
472.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
477.50     0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
482.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
487.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
492.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
497.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
502.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
507.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
512.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
517.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
522.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
527.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
532.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
537.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
542.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
547.50     0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000    0.000  0.000
552.50     0.002  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
557.50     0.002  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
562.50     0.002  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
567.50     0.002  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
572.50     0.002  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
577.50     0.003  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
582.50     0.003  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
587.50     0.003  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
592.50     0.003  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
597.50     0.003  0.000    0.001  0.000    0.001  0.000    0.000  0.000    0.000  0.000
602.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
607.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
612.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
617.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
622.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
627.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
632.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
637.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
642.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.000  0.000
647.50     0.003  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
652.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
657.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
662.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
667.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
672.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
677.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
682.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
687.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
692.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
697.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
702.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
707.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
712.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
717.50     0.004  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
722.50     0.005  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
727.50     0.005  0.000    0.002  0.000    0.001  0.000    0.000  0.000    0.001  0.000
732.50     0.005  0.000    0.003  0.000    0.001  0.000    0.000  0.000    0.001  0.000
737.50     0.005  0.000    0.003  0.000    0.001  0.000    0.000  0.000    0.001  0.000
742.50     0.005  0.000    0.003  0.000    0.001  0.000    0.000  0.000    0.001  0.000
747.50     0.005  0.000    0.003  0.000    0.001  0.000    0.000  0.000    0.001  0.000
752.50     0.005  0.000    0.003  0.000    0.001  0.000    0.000  0.000    0.001  0.000
757.50     0.005  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
762.50     0.005  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
767.50     0.005  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
772.50     0.005  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
777.50     0.005  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
782.50     0.006  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
787.50     0.006  0.000    0.003  0.000    0.002  0.000    0.000  0.000    0.001  0.000
792.50     0.006  0.000    0.003  0.000    0.002  0.000   -0.001  0.000    0.001  0.000
797.50     0.006  0.000    0.003  0.000    0.002  0.000   -0.001  0.000    0.001  0.000
802.50     0.006  0.000    0.003  0.000    0.002  0.000   -0.001  0.000    0.001  0.000
807.50     0.006  0.000    0.003  0.000    0.002  0.000   -0.001  0.000    0.001  0.000
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1682.50    0.031  0.005   -0.013  0.022    0.015  0.001    0.000  0.004    0.005  0.000
1687.50    0.031  0.005   -0.013  0.022    0.016  0.001    0.000  0.004    0.005  0.000
1692.50    0.032  0.005   -0.013  0.023    0.016  0.001    0.000  0.004    0.005  0.000
1697.50    0.032  0.005   -0.014  0.023    0.016  0.001    0.000  0.004    0.005  0.000
1702.50    0.032  0.005   -0.014  0.023    0.016  0.001    0.000  0.004    0.005  0.000
1707.50    0.032  0.005   -0.014  0.024    0.016  0.001    0.000  0.004    0.005  0.000
1712.50    0.033  0.005   -0.014  0.024    0.016  0.001    0.000  0.004    0.005  0.000
1717.50    0.033  0.005   -0.015  0.024    0.016  0.001    0.000  0.004    0.005  0.000
1722.50    0.033  0.006   -0.015  0.025    0.016  0.001    0.000  0.004    0.005  0.000
1727.50    0.033  0.006   -0.015  0.025    0.017  0.001    0.000  0.004    0.005  0.000
1732.50    0.033  0.006   -0.015  0.025    0.017  0.001    0.000  0.004    0.005  0.000
1737.50    0.034  0.006   -0.016  0.026    0.017  0.001    0.000  0.004    0.005  0.000
1742.50    0.034  0.006   -0.016  0.026    0.017  0.001    0.000  0.004    0.005  0.000
1747.50    0.034  0.006   -0.016  0.026    0.017  0.001    0.000  0.004    0.005  0.000
1752.50    0.034  0.006   -0.016  0.027    0.017  0.001    0.000  0.004    0.005  0.000
1757.50    0.035  0.006   -0.016  0.027    0.017  0.001    0.000  0.004    0.005  0.000
1762.50    0.035  0.007   -0.017  0.027    0.018  0.001    0.000  0.004    0.005  0.000
1767.50    0.035  0.007   -0.017  0.028    0.018  0.001    0.000  0.004    0.005  0.000
1772.50    0.035  0.007   -0.017  0.028    0.018  0.001    0.000  0.004    0.005  0.000
1777.50    0.036  0.007   -0.017  0.028    0.018  0.001    0.000  0.004    0.005  0.000
1782.50    0.036  0.007   -0.018  0.029    0.018  0.001    0.000  0.004    0.005  0.000
1787.50    0.036  0.007   -0.018  0.029    0.018  0.001    0.000  0.005    0.005  0.000
1792.50    0.036  0.007   -0.018  0.030    0.018  0.001    0.000  0.005    0.005  0.000
1797.50    0.036  0.008   -0.018  0.030    0.019  0.001    0.000  0.005    0.005  0.000
1802.50    0.037  0.008   -0.019  0.030    0.019  0.001    0.000  0.005    0.005  0.000
1807.50    0.037  0.008   -0.019  0.031    0.019  0.001    0.001  0.005    0.005  0.000
1812.50    0.037  0.008   -0.019  0.031    0.019  0.001    0.001  0.005    0.005  0.000
1817.50    0.037  0.008   -0.019  0.031    0.019  0.001    0.001  0.005    0.005  0.000
1822.50    0.038  0.008   -0.020  0.032    0.019  0.002    0.001  0.005    0.005  0.000
1827.50    0.038  0.009   -0.020  0.032    0.020  0.002    0.001  0.005    0.005  0.000
1832.50    0.038  0.009   -0.020  0.033    0.020  0.002    0.001  0.005    0.005  0.000
1837.50    0.038  0.009   -0.020  0.033    0.020  0.002    0.001  0.005    0.005  0.000
1842.50    0.039  0.009   -0.021  0.033    0.020  0.002    0.001  0.005    0.005  0.000
1847.50    0.039  0.009   -0.021  0.034    0.020  0.002    0.001  0.005    0.005  0.000
1852.50    0.039  0.010   -0.021  0.034    0.020  0.002    0.001  0.005    0.005  0.000
1857.50    0.039  0.010   -0.021  0.035    0.020  0.002    0.001  0.005    0.005  0.000
1862.50    0.040  0.010   -0.022  0.035    0.021  0.002    0.001  0.005    0.005  0.000
1867.50    0.040  0.010   -0.022  0.036    0.021  0.002    0.001  0.005    0.005  0.000
1872.50    0.040  0.010   -0.022  0.036    0.021  0.002    0.001  0.005    0.005  0.000
1877.50    0.040  0.011   -0.022  0.036    0.021  0.002    0.001  0.005    0.006  0.000
1882.50    0.040  0.011   -0.022  0.037    0.021  0.002    0.001  0.005    0.006  0.000
1887.50    0.041  0.011   -0.023  0.037    0.021  0.002    0.001  0.005    0.006  0.000
1892.50    0.041  0.011   -0.023  0.038    0.022  0.002    0.001  0.005    0.006  0.000
1897.50    0.041  0.012   -0.023  0.038    0.022  0.002    0.001  0.005    0.006  0.000
1902.50    0.041  0.012   -0.023  0.039    0.022  0.002    0.001  0.005    0.006  0.000
1907.50    0.042  0.012   -0.024  0.039    0.022  0.003    0.001  0.005    0.006  0.000
1912.50    0.042  0.012   -0.024  0.039    0.022  0.003    0.001  0.005    0.006  0.000
1917.50    0.042  0.013   -0.024  0.040    0.022  0.003    0.001  0.005    0.006  0.000
1922.50    0.042  0.013   -0.024  0.040    0.023  0.003    0.001  0.005    0.006  0.000
1927.50    0.042  0.013   -0.024  0.041    0.023  0.003    0.001  0.005    0.006  0.000
1932.50    0.043  0.013   -0.025  0.041    0.023  0.003    0.001  0.005    0.006  0.000
1937.50    0.043  0.014   -0.025  0.042    0.023  0.003    0.001  0.005    0.006  0.000
1942.50    0.043  0.014   -0.025  0.042    0.023  0.003    0.001  0.005    0.006  0.000
1947.50    0.043  0.014   -0.025  0.043    0.023  0.003    0.001  0.005    0.006  0.000
1952.50    0.044  0.014   -0.026  0.043    0.024  0.003    0.001  0.005    0.006  0.000
1957.50    0.044  0.015   -0.026  0.043    0.024  0.003    0.001  0.005    0.006  0.000
1962.50    0.044  0.015   -0.026  0.044    0.024  0.003    0.001  0.005    0.006  0.000
1967.50    0.044  0.015   -0.026  0.044    0.024  0.003    0.001  0.005    0.006  0.000
1972.50    0.044  0.015   -0.026  0.045    0.024  0.004    0.001  0.005    0.006  0.000
1977.50    0.045  0.016   -0.027  0.045    0.024  0.004    0.001  0.005    0.006  0.000
1982.50    0.045  0.016   -0.027  0.046    0.025  0.004    0.001  0.005    0.006  0.000
1987.50    0.045  0.016   -0.027  0.046    0.025  0.004    0.001  0.005    0.006  0.000
1992.50    0.045  0.017   -0.027  0.047    0.025  0.004    0.001  0.005    0.006  0.000
1997.50    0.045  0.017   -0.027  0.047    0.025  0.004    0.001  0.005    0.006  0.000
2002.50    0.046  0.017   -0.028  0.048    0.025  0.004    0.001  0.005    0.006  0.000
2007.50    0.046  0.018   -0.028  0.048    0.026  0.004    0.002  0.005    0.006  0.000
2012.50    0.046  0.018   -0.028  0.049    0.026  0.004    0.002  0.005    0.006  0.000
2017.50    0.046  0.018   -0.028  0.049    0.026  0.004    0.002  0.005    0.006  0.000
2022.50    0.046  0.019   -0.028  0.050    0.026  0.005    0.002  0.005    0.006  0.000
2027.50    0.047  0.019   -0.028  0.050    0.026  0.005    0.002  0.005    0.006  0.000
2032.50    0.047  0.019   -0.029  0.051    0.026  0.005    0.002  0.005    0.006  0.000
2037.50    0.047  0.020   -0.029  0.051    0.027  0.005    0.002  0.005    0.006  0.000
2042.50    0.047  0.020   -0.029  0.052    0.027  0.005    0.002  0.005    0.006  0.000
2047.50    0.047  0.020   -0.029  0.052    0.027  0.005    0.002  0.005    0.006  0.000
2052.50    0.047  0.021   -0.029  0.053    0.027  0.005    0.002  0.005    0.006  0.000
2057.50    0.047  0.021   -0.029  0.053    0.027  0.005    0.002  0.005    0.006  0.000
2062.50    0.048  0.021   -0.030  0.054    0.028  0.005    0.002  0.005    0.006  0.000
2067.50    0.048  0.022   -0.030  0.054    0.028  0.006    0.002  0.005    0.006  0.000
2072.50    0.048  0.022   -0.030  0.055    0.028  0.006    0.002  0.006    0.006  0.000
2077.50    0.048  0.022   -0.030  0.055    0.028  0.006    0.002  0.006    0.006  0.000
2082.50    0.048  0.023   -0.030  0.056    0.028  0.006    0.002  0.006    0.006  0.000
2087.50    0.048  0.023   -0.030  0.056    0.028  0.006    0.002  0.006    0.006  0.000
2092.50    0.048  0.024   -0.031  0.057    0.029  0.006    0.002  0.006    0.006  0.000
2097.50    0.049  0.024   -0.031  0.057    0.029  0.006    0.002  0.006    0.006  0.000
2102.50    0.049  0.024   -0.031  0.058    0.029  0.006    0.002  0.006    0.006  0.000
2107.50    0.049  0.025   -0.031  0.058    0.029  0.007    0.002  0.006    0.006  0.000
2112.50    0.049  0.025   -0.031  0.059    0.029  0.007    0.002  0.006    0.006  0.000
2117.50    0.049  0.025   -0.031  0.059    0.030  0.007    0.002  0.006    0.006  0.000
2122.50    0.049  0.026   -0.031  0.060    0.030  0.007    0.002  0.006    0.006  0.000
2127.50    0.049  0.026   -0.031  0.060    0.030  0.007    0.002  0.006    0.006  0.000
2132.50    0.049  0.027   -0.032  0.061    0.030  0.007    0.002  0.006    0.006  0.000
2137.50    0.049  0.027   -0.032  0.061    0.030  0.008    0.002  0.006    0.006  0.000
2142.50    0.049  0.027   -0.032  0.062    0.031  0.008    0.002  0.006    0.006  0.000
2147.50    0.049  0.028   -0.032  0.062    0.031  0.008    0.002  0.006    0.006  0.000
2152.50    0.050  0.028   -0.032  0.063    0.031  0.008    0.002  0.006    0.006  0.000
2157.50    0.050  0.029   -0.032  0.063    0.031  0.008    0.002  0.006    0.006  0.000
2162.50    0.050  0.029   -0.032  0.064    0.031  0.008    0.003  0.006    0.006  0.000
2167.50    0.050  0.029   -0.032  0.064    0.032  0.009    0.003  0.006    0.006  0.000
2172.50    0.050  0.030   -0.032  0.065    0.032  0.009    0.003  0.006    0.006  0.000
2177.50    0.050  0.030   -0.032  0.065    0.032  0.009    0.003  0.006    0.006  0.000
2182.50    0.050  0.031   -0.033  0.066    0.032  0.009    0.003  0.006    0.006  0.000
2187.50    0.050  0.031   -0.033  0.066    0.032  0.009    0.003  0.006    0.006  0.000
2192.50    0.050  0.031   -0.033  0.067    0.033  0.009    0.003  0.006    0.006  0.000
2197.50    0.050  0.032   -0.033  0.067    0.033  0.010    0.003  0.006    0.006  0.000
2202.50    0.050  0.032   -0.033  0.068    0.033  0.010    0.003  0.006    0.007  0.000
2207.50    0.050  0.032   -0.033  0.068    0.033  0.010    0.003  0.006    0.007  0.000
2212.50    0.050  0.033   -0.033  0.069    0.034  0.010    0.003  0.006    0.007  0.000
2217.50    0.050  0.033   -0.033  0.069    0.034  0.010    0.003  0.006    0.007  0.000
2222.50    0.050  0.034   -0.033  0.070    0.034  0.011    0.003  0.006    0.007  0.000
2227.50    0.050  0.034   -0.033  0.070    0.034  0.011    0.003  0.006    0.007  0.000
2232.50    0.050  0.034   -0.033  0.071    0.034  0.011    0.003  0.006    0.007  0.000
2237.50    0.050  0.035   -0.033  0.071    0.035  0.011    0.003  0.006    0.007  0.000
2242.50    0.050  0.035   -0.033  0.072    0.035  0.011    0.003  0.006    0.007  0.000
2247.50    0.050  0.036   -0.033  0.072    0.035  0.012    0.003  0.006    0.007  0.000
2252.50    0.050  0.036   -0.033  0.073    0.035  0.012    0.003  0.006    0.007  0.000
2257.50    0.050  0.036   -0.033  0.073    0.035  0.012    0.003  0.006    0.007  0.000
2262.50    0.050  0.037   -0.033  0.074    0.036  0.012    0.003  0.006    0.007  0.000
2267.50    0.050  0.037   -0.033  0.074    0.036  0.013    0.003  0.006    0.007  0.000
2272.50    0.050  0.038   -0.034  0.075    0.036  0.013    0.003  0.006    0.007  0.000
2277.50    0.050  0.038   -0.034  0.075    0.036  0.013    0.003  0.006    0.007  0.000
2282.50    0.049  0.038   -0.034  0.076    0.036  0.013    0.003  0.006    0.007  0.000
2287.50    0.049  0.039   -0.034  0.076    0.037  0.014    0.004  0.006    0.007  0.000
2292.50    0.049  0.039   -0.034  0.077    0.037  0.014    0.004  0.006    0.007  0.000
2297.50    0.049  0.039   -0.034  0.077    0.037  0.014    0.004  0.006    0.007  0.000
2302.50    0.049  0.040   -0.034  0.078    0.037  0.014    0.004  0.006    0.007  0.000
2307.50    0.049  0.040   -0.034  0.078    0.038  0.015    0.004  0.006    0.007  0.000
2312.50    0.049  0.040   -0.034  0.078    0.038  0.015    0.004  0.006    0.007  0.000
2317.50    0.049  0.041   -0.034  0.079    0.038  0.015    0.004  0.006    0.007  0.000
2322.50    0.049  0.041   -0.034  0.079    0.038  0.015    0.004  0.006    0.007  0.000
2327.50    0.049  0.042   -0.034  0.080    0.038  0.016    0.004  0.006    0.007  0.000
2332.50    0.049  0.042   -0.034  0.080    0.039  0.016    0.004  0.006    0.007  0.000
2337.50    0.048  0.042   -0.034  0.081    0.039  0.016    0.004  0.006    0.007  0.000
2342.50    0.048  0.043   -0.033  0.081    0.039  0.017    0.004  0.006    0.007  0.000
2347.50    0.048  0.043   -0.033  0.082    0.039  0.017    0.004  0.006    0.007  0.000
2352.50    0.048  0.043   -0.033  0.082    0.039  0.017    0.004  0.006    0.007  0.000
2357.50    0.048  0.044   -0.033  0.083    0.040  0.017    0.004  0.006    0.007  0.000
2362.50    0.048  0.044   -0.033  0.083    0.040  0.018    0.004  0.006    0.007  0.000
2367.50    0.048  0.044   -0.033  0.083    0.040  0.018    0.004  0.006    0.007  0.000
2372.50    0.048  0.045   -0.033  0.084    0.040  0.018    0.004  0.006    0.007  0.000
2377.50    0.048  0.045   -0.033  0.084    0.041  0.019    0.004  0.006    0.007  0.000
2382.50    0.047  0.045   -0.033  0.085    0.041  0.019    0.004  0.006    0.007  0.000
2387.50    0.047  0.046   -0.033  0.085    0.041  0.019    0.004  0.006    0.007  0.000
2392.50    0.047  0.046   -0.033  0.086    0.041  0.020    0.004  0.006    0.007  0.000
2397.50    0.047  0.046   -0.033  0.086    0.041  0.020    0.004  0.007    0.007  0.000
2402.50    0.047  0.046   -0.033  0.086    0.042  0.020    0.005  0.007    0.007  0.000
2407.50    0.047  0.047   -0.033  0.087    0.042  0.021    0.005  0.007    0.007  0.000
2412.50    0.047  0.047   -0.033  0.087    0.042  0.021    0.005  0.007    0.007  0.000
2417.50    0.047  0.047   -0.033  0.088    0.042  0.021    0.005  0.007    0.007  0.000
2422.50    0.046  0.048   -0.033  0.088    0.043  0.022    0.005  0.007    0.007  0.000
2427.50    0.046  0.048   -0.033  0.089    0.043  0.022    0.005  0.007    0.007  0.000
2432.50    0.046  0.048   -0.033  0.089    0.043  0.022    0.005  0.007    0.007  0.000
2437.50    0.046  0.048   -0.033  0.089    0.043  0.023    0.005  0.007    0.007  0.000
2442.50    0.046  0.049   -0.032  0.090    0.043  0.023    0.005  0.007    0.007  0.000
2447.50    0.046  0.049   -0.032  0.090    0.044  0.023    0.005  0.007    0.007  0.000
2452.50    0.046  0.049   -0.032  0.090    0.044  0.024    0.005  0.007    0.007  0.000
2457.50    0.045  0.050   -0.032  0.091    0.044  0.024    0.005  0.007    0.007  0.000
2462.50    0.045  0.050   -0.032  0.091    0.044  0.024    0.005  0.007    0.007  0.000
2467.50    0.045  0.050   -0.032  0.092    0.044  0.025    0.005  0.007    0.007  0.000
2472.50    0.045  0.050   -0.032  0.092    0.045  0.025    0.005  0.007    0.007  0.000
2477.50    0.045  0.051   -0.032  0.092    0.045  0.026    0.005  0.007    0.007  0.000
2482.50    0.045  0.051   -0.032  0.093    0.045  0.026    0.005  0.007    0.007  0.000
2487.50    0.044  0.051   -0.032  0.093    0.045  0.026    0.005  0.007    0.007  0.000
2492.50    0.044  0.051   -0.032  0.093    0.045  0.027    0.005  0.007    0.007  0.000
2497.50    0.044  0.052   -0.031  0.094    0.046  0.027    0.005  0.007    0.007  0.000
2502.50    0.044  0.052   -0.031  0.094    0.046  0.028    0.006  0.007    0.007  0.000
2507.50    0.044  0.052   -0.031  0.094    0.046  0.028    0.006  0.007    0.007  0.000
2512.50    0.044  0.052   -0.031  0.095    0.046  0.029    0.006  0.007    0.007  0.000
2517.50    0.044  0.052   -0.031  0.095    0.047  0.029    0.006  0.007    0.007  0.000
2522.50    0.043  0.053   -0.031  0.095    0.047  0.029    0.006  0.007    0.007  0.000
2527.50    0.043  0.053   -0.031  0.096    0.047  0.030    0.006  0.007    0.007  0.000
2532.50    0.043  0.053   -0.031  0.096    0.047  0.030    0.006  0.007    0.007  0.000
2537.50    0.043  0.053   -0.031  0.096    0.047  0.031    0.006  0.007    0.007  0.000
2542.50    0.043  0.054   -0.031  0.097    0.048  0.031    0.006  0.007    0.007  0.000
2547.50    0.043  0.054   -0.030  0.097    0.048  0.032    0.006  0.007    0.007  0.000
2552.50    0.043  0.054   -0.030  0.097    0.048  0.032    0.006  0.007    0.007  0.000
2557.50    0.043  0.054   -0.030  0.097    0.048  0.033    0.006  0.007    0.007  0.000
2562.50    0.042  0.054   -0.030  0.098    0.048  0.033    0.006  0.007    0.007  0.000
2567.50    0.042  0.055   -0.030  0.098    0.049  0.033    0.006  0.007    0.007  0.000
2572.50    0.042  0.055   -0.030  0.098    0.049  0.034    0.006  0.007    0.007  0.000
2577.50    0.042  0.055   -0.030  0.099    0.049  0.034    0.006  0.007    0.007  0.000
2582.50    0.042  0.055   -0.030  0.099    0.049  0.035    0.006  0.007    0.007  0.000
2587.50    0.042  0.055   -0.030  0.099    0.049  0.035    0.006  0.007    0.007  0.000
2592.50    0.042  0.056   -0.029  0.099    0.050  0.036    0.006  0.007    0.007  0.000
2597.50    0.041  0.056   -0.029  0.100    0.050  0.036    0.007  0.007    0.007  0.000

pythia8-8.1.86.orig/xmldoc/ParticleProperties.xml0000444000175000017500000010575512357055025020206 0ustar  sunsun 
 

    Particle Properties
     
 
A Particle corresponds to one entry/slot in the 
event record. Its properties therefore is a mix of ones belonging 
to a particle-as-such, like its identity code or four-momentum, 
and ones related to the event-as-a-whole, like which mother it has. 
 

     
What is stored for each particle is 

       

    • the identity code,
      •  

    • the status code,
      •  

    • two mother indices,
      •  

    • two daughter indices,
      •  

    • a colour and an anticolour index,
      •  

    • the four-momentum and mass,
      •  

    • the scale at which the particle was produced (optional),
      •  

    • the polarization/spin/helicity of the particle (optional),
      •  

    • the production vertex and proper lifetime (optional),
      •  

    • a pointer to the particle kind in the particle data table, and
      •  

    • a pointer to the event the particle belongs to.
      •  

     
From these, a number of further quantities may be derived. 
 

    Basic output methods
     
 
The following member functions can be used to extract the most important 
information: 
 
 
the identity of a particle, according to the PDG particle codes 
Yao06. 
 
 
 
status code. The status code includes information on how a particle was 
produced, i.e. where in the program execution it was inserted into the 
event record, and why. It also tells whether the particle is still present 
or not. It does not tell how a particle disappeared, whether by a decay, 
a shower branching, a hadronization process, or whatever, but this is 
implicit in the status code of its daughter(s). The basic scheme is: 

       

    • status = +- (10 * i + j)
      •  

    •  +          : still remaining particles
      •  

    •  -          : decayed/branched/fragmented/... and not remaining
      •  

    •  i =  1 - 9 : stage of event generation inside PYTHIA
      •  

    •  i = 10 -19 : reserved for future expansion
      •  

    •  i >= 20    : free for add-on programs
      •  

    •  j = 1 - 9  : further specification
      •  

     
In detail, the list of used or foreseen status codes is: 

       

    • 11 - 19 : beam particles
      •  
  
         
  
      • 11 : the event as a whole
        •  
  
      • 12 : incoming beam
        •  
  
      • 13 : incoming beam-inside-beam (e.g. gamma 
           inside e)
        •  
  
      • 14 : outgoing elastically scattered
        •  
  
      • 15 : outgoing diffractively scattered
        •  
  
       

    • 21 - 29 : particles of the hardest subprocess
      •  
  
         
  
      • 21 : incoming
        •  
  
      • 22 : intermediate (intended to have preserved mass)
        •  
  
      • 23 : outgoing
        •  
  
      • 24 : outgoing, nonperturbatively kicked out in diffraction
        •  
  
       

    • 31 - 39 : particles of subsequent subprocesses
      •  
  
         
  
      • 31 : incoming
        •  
  
      • 32 : intermediate (intended to have preserved mass)
        •  
  
      • 33 : outgoing
        •  
  
      • 34 : incoming that has already scattered
        •  
  
       

    • 41 - 49 : particles produced by initial-state-showers
      •  
  
         
  
      • 41 : incoming on spacelike main branch
        •  
  
      • 42 : incoming copy of recoiler
        •  
  
      • 43 : outgoing produced by a branching
        •  
  
      • 44 : outgoing shifted by a branching
        •  
  
      • 45 : incoming rescattered parton, with changed kinematics 
           owing to ISR in the mother system (cf. status 34)
        •  
  
      • 46 : incoming copy of recoiler when this is a rescattered 
           parton (cf. status 42)
        •  
  
      • 47 : a W or Z gauge boson produced in the 
           shower evolution
        •  
  
       

    • 51 - 59 : particles produced by final-state-showers
      •  
  
         
  
      • 51 : outgoing produced by parton branching
        •  
  
      • 52 : outgoing copy of recoiler, with changed momentum
        •  
  
      • 53 : copy of recoiler when this is incoming parton, 
           with changed momentum
        •  
  
      • 54 : copy of a recoiler, when in the initial state of a 
           different system from the radiator
        •  
  
      • 55 : copy of a recoiler, when in the final state of a 
           different system from the radiator
        •  
  
      • 56 : a W or Z gauge boson produced in a 
           shower branching (special case of 51)
        •  
  
       

    • 61 - 69 : particles produced by beam-remnant treatment
      •  
  
         
  
      • 61 : incoming subprocess particle with primordial kT 
           included
        •  
  
      • 62 : outgoing subprocess particle with primordial kT 
           included
        •  
  
      • 63 : outgoing beam remnant
        •  
  
       

    • 71 - 79 : partons in preparation of hadronization process
      •  
  
         
  
      • 71 : copied partons to collect into contiguous colour singlet
        •  
  
      • 72 : copied recoiling singlet when ministring collapses to 
           one hadron and momentum has to be reshuffled
        •  
  
      • 73 : combination of very nearby partons into one
        •  
  
      • 74 : combination of two junction quarks (+ nearby gluons) 
           to a diquark
        •  
  
      • 75 : gluons split to decouple a junction-antijunction pair
        •  
  
      • 76 : partons with momentum shuffled to decouple a 
           junction-antijunction pair 
        •  
  
      • 77 : temporary opposing parton when fragmenting first two 
           strings in to junction (should disappear again)
        •  
  
      • 78 : temporary combined diquark end when fragmenting last 
           string in to junction (should disappear again)
        •  
  
       

    • 81 - 89 : primary hadrons produced by hadronization process
      •  
  
         
  
      • 81 : from ministring into one hadron
        •  
  
      • 82 : from ministring into two hadrons
        •  
  
      • 83, 84 : from normal string (the difference between the two 
           is technical, whether fragmented off from the top of the 
           string system or from the bottom, useful for debug only)
        •  
  
      • 85, 86 : primary produced hadrons in junction fragmentation of 
           the first two string legs in to the junction, 
           in order of treatment
        •  
  
       

    • 91 - 99 : particles produced in decay process, or by Bose-Einstein 
  effects
      •  
  
         
  
      • 91 : normal decay products
        •  
  
      • 92 : decay products after oscillation B0 ↔ B0bar or 
           B_s0 ↔ B_s0bar
        •  
  
      • 93, 94 : decay handled by external program, normally 
           or with oscillation
        •  
  
      • 99 : particles with momenta shifted by Bose-Einstein effects 
           (not a proper decay, but bookkept as an 1 → 1 such, 
           happening after decays of short-lived resonances but before 
           decays of longer-lived particles)
        •  
  
       

    • 101 - 109 : particles in the handling of R-hadron production and 
  decay, i.e. long-lived (or stable) particles containing a very heavy 
  flavour
      •  
  
         
  
      • 101 : when a string system contains two such long-lived particles, 
            the system is split up by the production of a new q-qbar 
            pair (bookkept as decay chains that seemingly need not conserve 
            flavour etc., but do when considered together)
        •  
  
      • 102 : partons rearranged from the long-lived particle end to prepare 
            for fragmentation from this end
        •  
  
      • 103 : intermediate "half-R-hadron" formed when a colour octet particle 
            (like the gluino) has been fragmented on one side, but not yet on 
            the other
        •  
  
      • 104 : an R-hadron
        •  
  
      • 105 : partons or particles formed together with the R-hadron during 
            the fragmentation treatment
        •  
  
      • 106 : subdivision of an R-hadron into its flavour content, with 
           momentum split accordingly, in preparation of the decay of 
           the heavy new particle, if it is unstable
        •  
  
      • 107 : two temporary leftover gluons joined into one in the formation 
          of a gluino-gluon R-hadron.
        •  
  
       

    • 111 - 199 : reserved for future expansion
      •  

    • 201 - : free to be used by anybody
      •  

     
Note: a clarification on the role of the "hardest" vs. the 
"subsequent" subprocesses, the 20'ies and 30'ies status code series, 
respectively. Most events contain exactly one "hardest" 
2 → n interaction, and then an arbitrary number of 
"subsequent" softer 2 → 2 ones generated by the 
MPI framework. In the SoftQCD:nonDiffractive event class 
also the "hardest" is generated by the MPI machinery, and can be 
arbitrarily soft, but still with 20'ies codes. Diffractive systems 
span a broad mass range, where the higher masses admit a perturbative 
description with "hard" and "subsequent" subprocesses, like for 
nondiffractive events. A double diffractive event can contain up to two 
such "hardest" interactions, one per diffractive system. A nonperturbative 
diffractive system does not contain any 2 → n subprocesses, 
but there is a kicked-out quark or gluon with status 24, combined with a 
beam remnant of one or two partons with status 63, that together define 
the mass and longitudinal axis of the diffractive system, for use in the 
subsequent hadronization. An event may also contain two 20'ies 
perturbative subcollisions if you use the 
Second Hard Process 
generation machinery.
     
 
 
 
 
the indices in the event record where the first and last mothers are 
stored, if any. There are six allowed combinations of mother1 
and mother2: 

       

    1. mother1 = mother2 = 0: for lines 0 - 2, where line 0 
represents the event as a whole, and 1 and 2 the two incoming 
beam particles; 
      2.  

    2. mother1 = mother2 > 0: the particle is a "carbon copy" 
of its mother, but with changed momentum as a "recoil"  effect, 
e.g. in a shower;
      3.  

    3. mother1 > 0, mother2 = 0: the "normal" mother case, where 
it is meaningful to speak of one single mother to several products, 
in a shower or decay;
      4.  

    4. mother1 < mother2, both > 0, for 
abs(status) = 81 - 86: primary hadrons produced from the 
fragmentation of a string spanning the range from mother1 
to mother2, so that all partons in this range should be 
considered mothers; and analogously for 
abs(status) = 101 - 106, the formation of R-hadrons;
      5.  

    5. mother1 < mother2, both > 0, except case 4: particles 
with two truly different mothers, in particular the particles emerging 
from a hard 2 → n interaction.
      6.  

    6. mother2 < mother1, both > 0: particles with two truly 
different mothers, notably for the special case that two nearby partons are 
joined together into a status 73 or 74 new parton, in the 
g + q → q case the q is made first mother 
to simplify flavour tracing.
      7.  

     
Note 1: in backwards evolution of initial-state showers, 
the mother may well appear below the daughter in the event record. 
Note 2: the motherList() method below returns 
a vector of all the mothers, providing a uniform representation for all 
six cases. 
     
 
 
 
 
the indices in the event record where the first and last daughters 
are stored, if any. There are five allowed combinations of 
daughter1 and daughter2: 

       

    1. daughter1 = daughter2 = 0: there are no daughters 
(so far);
      2.  

    2. daughter1 = daughter2 > 0: the particle has a 
"carbon copy" as its sole daughter, but with changed momentum 
as a "recoil" effect, e.g. in a shower;
      3.  

    3. daughter1 > 0, daughter2 = 0: each of the incoming beams 
has only (at most) one daughter, namely the initiator parton of the 
hardest interaction; further, in a 2 → 1 hard interaction, 
like q qbar → Z^0, or in a clustering of two nearby partons, 
the initial partons only have this one daughter;
      4.  

    4. daughter1 < daughter2, both > 0: the particle has 
a range of decay products from daughter1 to 
daughter2;
      5.  
    5. daughter2 < daughter1, 
both > 0: the particle has two separately stored decay products (e.g. 
in backwards evolution of initial-state showers).
      6.  

     
Note 1: in backwards evolution of initial-state showers, the 
daughters may well appear below the mother in the event record. 
Note 2: the mother-daughter relation normally is reciprocal, 
but not always. An example is hadron beams (indices 1 and 2), where each 
beam remnant and the initiator of each multiparton interaction has the 
respective beam as mother, but the beam itself only has the initiator 
of the hardest interaction as daughter. 
Note 3: the daughterList() method below 
returns a vector of all the daughters, providing a uniform representation 
for all five cases. With this method, also all the daughters of the beams 
are caught, with the initiators of the basic process given first,  while 
the rest are in no guaranteed order (since they are found by a scanning 
of the event record for particles with the beam as mother, with no further 
information). 
     
 
 
 
 
the colour and anticolour tags, Les Houches Accord Boo01 
style (starting from tag 101 by default, see below). 
Note: in the preliminary implementation of colour sextets 
(exotic BSM particles) that exists since PYTHIA 8.150, a negative 
anticolour tag is interpreted as an additional positive colour tag, 
and vice versa. 
 
 
 
 
 
 
 
 
 
the particle four-momentum components. 
 
 
 
the particle four-momentum vector, with components as above. 
 
 
 
the particle mass, stored with a minus sign (times the absolute value) 
for spacelike virtual particles. 
 
 
 
the scale at which a parton was produced, which can be used to restrict 
its radiation to lower scales in subsequent steps of the shower evolution. 
Note that scale is linear in momenta, not quadratic (i.e. Q, 
not Q^2). 
 
 
 
the polarization/spin/helicity of a particle. Currently Pythia does not 
use this variable for any internal operations, so its meaning is not 
uniquely defined. The LHA standard sets SPINUP to be the 
cosine of the angle between the spin vector and the 3-momentum of the 
decaying particle in the lab frame, i.e. restricted to be between +1 
and -1. A more convenient choice could be the same quantity in the rest 
frame of the particle production, either the hard subprocess or the 
mother particle of a decay. Unknown or unpolarized particles should 
be assigned the value 9. 
 
 
 
 
 
 
 
 
 
the production vertex coordinates, in mm or mm/c. 
 
 
 
The production vertex four-vector. Note that the components of a 
Vec4 are named px(), py(), pz() and e() 
which of course then should be reinterpreted as above. 
 
 
 
the proper lifetime, in mm/c. It is assigned for all hadrons with 
positive nominal tau, tau_0 > 0, because it can be used 
by PYTHIA to decide whether a particle should or should not be allowed 
to decay, e.g. based on the decay vertex distance to the primary interaction 
vertex. 
 
 

    Input methods
     
 
The same method names as above are also overloaded in versions that 
set values. These have an input argument of the same type as the 
respective output above, and are of type void. 
 

     
There are also a few alternative methods for input: 
 
 
 
 
sets the status sign positive or negative, without changing the absolute 
value. 
 
 
 
changes the absolute value but retains the original sign. 
 
 
 
sets both mothers in one go. 
 
 
 
sets both daughters in one go. 
 
 
 
sets both colour and anticolour in one go. 
 
 
 
sets the four-momentum components in one go. 
 
 
 
sets the production vertex components in one go. 
 
 

    Further output methods
     
 
In addition, a number of derived quantities can easily be obtained, 
but cannot be set, such as: 
 
 
the absolute value of the particle identity code. 
 
 
 
the absolute value of the status code. 
 
 
 
true for a remaining particle, i.e. one with positive status code, 
else false. Thus, after an event has been fully generated, it 
separates the final-state particles from intermediate-stage ones. 
(If used earlier in the generation process, a particle then 
considered final may well decay later.) 
 
 
 
true for particles with a status code -34, -45, -46 or -54, else false. 
This singles out partons that have been created in a previous 
scattering but here are bookkept as belonging to the incoming state 
of another scattering. 
 
 
 
production vertex has been set; if false then production at the origin 
is assumed. 
 
 
 
squared mass, which can be negative for spacelike partons. 
 
 
 
 
 
(squared) mass calculated from the four-momentum; should agree 
with m(), m2() up to roundoff. Negative for spacelike 
virtualities. 
 
 
 
energy calculated from the mass and three-momentum; should agree 
with e() up to roundoff. For spacelike partons a 
positive-energy  solution is picked. This need not be the correct 
one, so it is recommended not to use the method in such cases. 
 
 
 
 
 
(squared) transverse momentum. 
 
 
 
 
 
(squared) transverse mass. If m_T^2 is negative, which can happen 
for a spacelike parton, then mT() returns 
-sqrt(-m_T^2), by analogy with the negative sign used to store 
spacelike masses. 
 
 
 
 
 
(squared) three-momentum size. 
 
 
 
 
 
(squared) transverse energy, 
eT = e * sin(theta) = e * pT / pAbs. 
 
 
 
 
 
polar and azimuthal angle. 
 
 
 
angle in the (p_x, p_z) plane, between -pi and 
+pi, with 0 along the +z axis 
 
 
 
 
 
E +- p_z. 
 
 
 
 
 
rapidity and pseudorapidity. 
 
 
 
 
 
 
 
 
 
 
 
the decay vertex coordinates, in mm or mm/c. This decay vertex is 
calculated from the production vertex, the proper lifetime and the 
four-momentum assuming no magnetic field or other detector interference. 
It can be used to decide whether a decay should be performed or not, 
and thus is defined also for particles which PYTHIA did not let decay. 
 
 

     
Not part of the Particle class proper, but obviously tightly 
linked, are the two methods 
 
 
 
 
the (squared) invariant mass of two particles. 
 
 

    Properties of the particle species
     
 
Each Particle contains a pointer to the respective 
ParticleDataEntry object in the 
particle data tables. 
This gives access to properties of the particle species as such. It is 
there mainly for convenience, and should be thrown if an event is 
written to disk, to avoid any problems of object persistency. Should 
an event later be read back in, the pointer will be recreated from the 
id code if the normal input methods are used. (Use the 
Event::restorePtrs() method 
if your persistency scheme bypasses the normal methods.) This pointer is 
used by the following member functions: 
 
 
the name of the particle. 
 
 
 
as above, but for negative-status particles the name is given in 
brackets to emphasize that they are intermediaries. 
 
 
 
2 *spin + 1 when defined, else 0. 
 
 
 
 
 
charge, and three times it to make an integer. 
 
 
 
 
 
charge different from or equal to 0. 
 
 
 
0 for colour singlets, 1 for triplets, 
-1 for antitriplets and 2 for octets. (A preliminary implementation of 
colour sextets also exists, using 3 for sextets and -3 for antisextets.) 
 
 
 
the nominal mass of the particle, according to the data tables. 
 
 
 
 
 
 
 
the width of the particle, and the minimum and maximum allowed mass value 
for particles with a width, according to the data tables. 
 
 
 
the mass of the particle, picked according to a Breit-Wigner 
distribution for particles with width. It is different each time called, 
and is therefore only used once per particle to set its mass 
m(). 
 
 
 
will give the constituent masses for quarks and diquarks, 
else the same masses as with m0(). 
 
 
 
the nominal lifetime tau_0 > 0, in mm/c, of the particle species. 
It is used to assign the actual lifetime tau. 
 
 
 
flag whether particle has been declared unstable or not, offering 
the main user switch to select which particle species to decay. 
 
 
 
flag whether decay modes have been declared for a particle, 
so that it could be decayed, should that be requested. 
 
 
 
particles that are decayed by an external program. 
 
 
 
particles where the decay is to be treated as part of the hard process, 
typically with nominal mass above 20 GeV (W^+-, Z^0, t, ...). 
 
 
 
particles with strong or electric charge, or composed of ones having it, 
which thereby should be considered visible in a normal detector. 
 
 
 
true for a lepton or an antilepton (including neutrinos). 
 
 
 
true for a quark or an antiquark. 
 
 
 
true for a gluon. 
 
 
 
true for a diquark or an antidiquark. 
 
 
 
true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
 
 
 
true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
 
 
 
a reference to the ParticleDataEntry. 
 
 

    Methods that may access the event the particle belongs to
     
 
A particle can be created on its own. When inserted into an event record, 
it obtains a pointer to that event-as-a-whole. It is then possible to 
use methods that do not make sense for a particle in isolation. These 
methods are listed below. Whenever the pointer to the event is not 
defined, these will return an appropriate "null" value, this being -1 
for an integer, false for a bool, and empty for a vector, unless otherwise 
specified. 
 
 
the index of the particle itself in the event record. 
 
 
 
returns the status code according to the HepMC conventions agreed in 
February 2009. This convention does not preserve the full information 
provided by the internal PYTHIA status code, as obtained by 
Particle::status(), but comes reasonably close. 
The allowed output values are: 

       

    • 0 : an empty entry, with no meaningful information and therefore 
to be skipped unconditionally;
      •  

    • 1 : a final-state particle, i.e. a particle that is not decayed 
further by the generator (may also include unstable particles that 
are to be decayed later, as part of the detector simulation);
      •  

    • 2 : a decayed Standard Model hadron or tau or mu lepton, excepting 
virtual intermediate states thereof (i.e. the particle must undergo 
a normal decay, not e.g. a shower branching);
      •  

    • 3 : a documentation entry (not used in PYTHIA);
      •  

    • 4 : an incoming beam particle;
      •  

    • 11 - 200 : an intermediate (decayed/branched/...) particle that does 
not fulfill the criteria of status code 2, with a generator-dependent 
classification of its nature; in PYTHIA the absolute value of the normal 
status code is used.
      •  

     
Note: for a particle without a properly set pointer to its 
event, codes 1 and 4 can still be inferred from its status code, while 
everythg else is assigned code 0. 
     
 
 
 
 
are used to trace carbon copies of the particle up to its top mother 
or down to its bottom daughter. If there are no such carbon copies, 
the index of the particle itself will be returned. A carbon copy is 
when the "same" particle appears several times in the event record, but 
with changed momentum owing to recoil effects. 
 
 
 
 
 
also trace top mother and bottom daughter, but do not require carbon 
copies, only that one can find an unbroken chain, of mothers or daughters, 
with the same flavour id code. When it encounters ambiguities, 
say a g → g g branching or a u u → u u hard 
scattering, it will stop the tracing and return the current position. 
It can be confused by nontrivial flavour changes, e.g. a hard process 
u d → d u by W^+- exchange will give the wrong 
answer. These methods therefore are of limited use for common particles, 
in particular for the gluon, but should work well for "rare" particles. 
 
 
 
returns a vector of all the sister indices of the particle, i.e. all the 
daughters of the first mother, except the particle itself. If the argument 
traceTopBot = true the particle is first traced up with 
iTopCopy() before its mother is found, and then all the 
particles in the daughterList() of this mother are traced down 
with iBotCopy(), omitting the original particle itself. 
The method is not meaningful for the 0 entry, with status code -11, and 
there returns an empty list. 
 
 
 
traces the particle upwards through mother, grandmother, and so on, until 
either iAncestor is found or the top of the record is reached. 
Normally one unique mother is required, as is the case e.g. in decay chains 
or in parton showers, so that e.g. the tracing through a hard scattering 
would not work. For hadronization, first-rank hadrons are identified with 
the respective string endpoint quark, which may be useful e.g. for 
b physics, while higher-rank hadrons give false. 
Currently also ministrings that collapsed to one single hadron and 
junction topologies give false. 
 
 
 
removes the decay chain of the particle and thus restores 
it to its undecayed state. It is only intended for "normal" particle 
decay chains, and will return false in other cases, notably if 
the particle is coloured. The procedure would not work if non-local 
momentum shifts have been performed, such as with a Bose-Einstein 
shift procedure (or for a dipole shower recoiler). As the decay products 
are erased from the event record, mother and daughter indices are 
updated to retain a correct history for the remaining particles. 
 
 

    Methods that perform operations
     
 
There are some further methods, some of them inherited from 
Vec4, to modify the properties of a particle. 
They are of little interest to the normal user. 
 
 
multiply the three-momentum components by fac. 
 
 
 
multiply the four-momentum components by fac. 
 
 
 
multiply the four-momentum components and the mass by fac. 
 
 
 
rotate three-momentum and production vertex by these polar and azimuthal 
angles. 
 
 
 
boost four-momentum and production vertex by this three-vector. 
 
 
 
as above, but also input the gamma value, to reduce roundoff errors. 
 
 
 
boost four-momentum and production vertex by 
beta = (px/e, py/e, pz/e). 
 
 
 
as above, but also use gamma> = e/m to reduce roundoff errors. 
 
 
 
 
 
as above, but with sign of boost flipped. 
 
 
 
combined rotation and boost of the four-momentum and production vertex. 
 
 
 
add a positive offset to the mother and daughter indices, i.e. 
if mother1 is above minMother then 
addMother is added to it, same with mother2, 
if daughter1 is above minDaughter then 
addDaughter is added to it, same with daughter2. 
 
 
 
add a positive offset to colour indices, i.e. if col is 
positive then addCol is added to it, same with acol. 
 
 

    Constructors and operators
     
 
Normally a user would not need to create new particles. However, if 
necessary, the following constructors and methods may be of interest. 
 
 
constructs an empty particle, i.e. where all properties have been set 0 
or equivalent. 
 
 
 
constructs a particle with the input properties provided, and non-provided 
ones set 0 (9 for pol). 
 
 
 
constructs a particle with the input properties provided, and non-provided 
ones set 0 (9 for pol). 
 
 
 
constructs an particle that is a copy of the input one. 
 
 
 
copies the input particle. 
 
 
 
sets the pointer to the Event object the particle 
belongs to. This method is automatically called when a particle 
is appended to an event record. Also calls setPDEPtr below. 
 
 
 
sets the pointer to the ParticleDataEntry object of the 
particle, based on its current id code. If the particle 
belongs to an event there is no need to provide the input argument. 
As explained above, a valid ParticleDataEntry pointer 
is needed for the methods that provide information generic to the 
particle species. 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/ParticleDecays.xml0000444000175000017500000004026412357055025017253 0ustar  sunsun 
 

    Particle Decays
     
 
The ParticleDecays class performs the sequential decays of 
all unstable hadrons produced in the string fragmentation stage, 
i.e. up to and including b hadrons and their decay products, 
such as the tau lepton. It is not to be used for the decay of 
more massive resonances, such as top, 
Z^0 or SUSY, where decays must be performed already at the 
ProcessLevel of the event generation. 
 

     
The decay description essentially copies the one present in 
PYTHIA since many years, but with some improvements, e.g. in the decay 
tables and the number of decay models available. Recently a more 
sophisticated handling of tau decays has also been introduced. 
Some issues may need further polishing. 
 

    Variables determining whether a particle decays
     
 
Before a particle is actually decayed, a number of checks are made. 
 

     
(i) Decay modes must have been defined for the particle kind; 
tested by the canDecay() method of Event 
(and ParticleData). 
 

     
(ii) The main switch for allowing this particle kind to decay must 
be on; tested by the mayDecay() method of Event 
(and ParticleData). 
 

     
(iii) Particles may be requested to have a nominal proper lifetime 
tau0 below a threshold. 
 
 
When on, only particles with tau0 < tau0Max are decayed. 
 
 
 
The above tau0Max, expressed in mm/c. 
 
 

     
(iv) Particles may be requested to have an actual proper lifetime 
tau below a threshold. 
 
 
When on, only particles with tau < tauMax are decayed. 
 
 
 
The above tauMax, expressed in mm/c.
     
In order for this and the subsequent tests to work, a tau 
is selected and stored for each particle, whether in the end it 
decays or not. (If each test would use a different temporary 
tau it would lead to inconsistencies.) 
     
 

     
(v) Particles may be requested to decay within a given distance 
of the origin. 
 
 
When on, only particles with a decay within a radius r < rMax 
are decayed. There is assumed to be no magnetic field or other 
detector effects. 
 
 
 
The above rMax, expressed in mm. 
 
 

     
(vi) Particles may be requested to decay within a given cylindrical 
volume around the origin. 
 
 
When on, only particles with a decay within a volume limited by 
rho = sqrt(x^2 + y^2) < xyMax and |z| < zMax 
are decayed. There is assumed to be no magnetic field or other 
detector effects. 
 
 
 
The above xyMax, expressed in mm. 
 
 
 
The above zMax, expressed in mm. 
 
 

    Mixing
     
 
 
Allow or not B^0 - B^0bar and B_s^0 - B_s^0bar mixing. 
 
 
 
The mixing parameter x_d = Delta(m_B^0)/Gamma_B^0 in the 
B^0 - B^0bar system. (Default from RPP2006.) 
 
 
 
The mixing parameter x_s = Delta(m_B_s^0)/Gamma_B_s^0 in the 
B_s^0 - B_s^0bar system. (Delta-m from CDF hep-ex-0609040, 
Gamma from RPP2006.) 
 
 

    Tau decays
     
 
A new machinery has been introduced to handle tau lepton decays, 
with helicity information related to the production process and with 
the form of the hadronic current fitted to data. It is largely based 
on the corresponding Herwig++ implementation Gre07, with 
some input from Tauola Jad90. A short summary can be found in 
Ilt12, while the complete writeup is in Ilt14.
 

     
For taus in external processes, interfaced with Les Houches 
Accord information available, e.g. via Les Houches Event Files (LHEF), 
the new machinery interprets the SPINUP number for tau leptons 
as giving their helicity, and decays them accordingly. The only exceptions 
are when a specific polarization is forced by the user (see below), 
which then overrides the SPINUP value, or when SPINUP has the special 
value 9 (unpolarized). In the latter case, PYTHIA defaults back to 
attempting to determine the helicity structure from the production 
process, in the same way as for internal processes. 
 

     
This new machinery is on by default, but it is possible to revert to 
the simpler old decay handling, e.g. to study differences. Furthermore 
the spin tracing framework does not yet cover all possibilities; notably 
it cannot handle taus coming from SUSY decay chains 
(except via LHEF), so it makes sense 
to switch off the new machinery in such instances, for speed reasons if 
nothing else. In case only one tau mother species is undefined, the 
polarization involved can be set by hand. 
 
 
Choice of tau decay model. 
 
 
 
 
Note: options 2 and 3, 
to force a specific tau polarization, only affect the decay 
of the tau. The angular distribution of the tau itself, 
given by its production, is not modified by these options. If you want, e.g., 
a righthanded W, or a SUSY decay chain, the kinematics should 
be handled by the corresponding cross section class(es), supplemented by 
the resonance decay one(s). The options here could then still be used 
to ensure the correct polarization at the tau decay stage. 
 
 
 
Polarization of the tau when mode 2 or 3 of 
ParticleDecays:sophisticatedTau is selected. 
 
 
 
Mother of the tau for forced polarization when mode 2 of 
ParticleDecays:sophisticatedTau is selected. You should give the 
positive identity code; to the extent an antiparticle exists it will 
automatically obtain the inverse polarization. 
 
 

    QED radiation
     
 
So far PYTHIA does not have any generic machinery for handling QED radiation 
in normal particle decays. In order to include this, a program like Photos 
Bar94, Dav10 could be used as an afterburner. In a few cases, 
however, the existing shower machinery can be used also here: for 
two-body decays to a lepton pair (l^+ l^- or l^+- nu_l). 
Such decays are mediated by gamma^*/Z^0/W^+- exchange, for 
which PYTHIA does have an existing machinery that can be applied, 
including first-order matrix-element corrections for the first (hardest) 
photon emission. 
 
 
Allow or not photon radiations in decays to a lepton pair, see above. 
Note: The current default is to have radiation switched off, 
in order to avoid double-counting of emissions if you link to an external 
QED-radiation program, as is the norm in many collaborations. 
 
 

    Other variables
     
 
 
Minimum mass difference required between the decaying mother mass 
and the sum of the daughter masses, kept as a safety margin to avoid 
numerical problems in the decay generation. 
 
 
 
In semileptonic decays to more than one hadron, such as 
B → nu l D pi, decay products after the first three are 
dampened in momentum by an explicit weight factor 
exp(-p^2/sigmaSoft^2), where p is the 
three-momentum in the rest frame of the decaying particle. 
This takes into account that such further particles come from the 
fragmentation of the spectator parton and thus should be soft. 
 
 

     
When a decay mode is defined in terms of a partonic content, a random 
multiplicity (and a random flavour set) of hadrons is to be picked, 
especially for some charm and bottom decays. This is done according to 
a Poissonian distribution, for n_p normal particles and 
n_q quarks the average value is chosen as 
 
  n_p/ 2 + n_q/4 + multIncrease * ln ( mDiff / multRefMass) 
 
with mDiff the difference between the decaying particle mass 
and the sum of the normal-particle masses and the constituent quark masses. 
For gluon systems multGoffset offers and optional additional 
term to the multiplicity. The lowest possible multiplicity is 
n_p + n_q/2 (but at least 2) and the highest possible 10. 
If the picked hadrons have a summed mass above that of the mother a 
new try is made, including a new multiplicity. These constraints 
imply that the actual average multiplicity does not quite agree with 
the formula above. 
 
 
The above multIncrease parameter, except for 
meMode = 23. 
 
 
 
The above multIncrease parameter, specifically for 
meMode = 23. Here the weak decay implies that only the 
virtual W mass should contribute to the production of new particles, 
rather than the full meson mass. 
 
 
 
The above multRefMass parameter. 
 
 
 
The above multGoffset parameter. 
 
 
 
When a decay is given as a list of four partons to be turned into 
hadrons (primarily for modes 41 - 80)  it is assumed that they are 
listed in pairs, as a first and a second colour singlet, which could 
give rise to separate sets of hadrons. Here colRearrange is 
the probability that this original assignment is not respected, and 
default corresponds to no memory of this original colour topology. 
 
 
 
When a particle decays to q qbar, g g, g g g 
or gamma g g, with meMode > 90, allow or not a 
shower to develop from it, before the partonic system is hadronized. 
(The typical example is Upsilon decay.) 
 
 
In addition, some variables defined for string fragmentation and for 
flavour production are used also here. 
  

    Modes for Matrix Element Processing
     
 
Some decays can be treated better than what pure phase space allows, 
by reweighting with appropriate matrix elements. In others a partonic 
content has to be converted to a set of hadrons. The presence of such 
corrections is signaled by a nonvanishing meMode() value 
for a decay mode in the particle 
data table. The list of allowed possibilities almost agrees with the 
PYTHIA 6 ones, but several obsolete choices have been removed, 
a few new introduced, and most have been moved for better consistency. 
Here is the list of currently allowed meMode() codes: 

       

    •   0 : pure phase space of produced particles ("default"); 
input of partons is allowed and then the partonic content is 
converted into the minimal number of hadrons (i.e. one per 
parton pair, but at least two particles in total)
      •  

    •   1 : omega and phi → pi+ pi- pi0
      •  

    •   2 : polarization in V → PS + PS (V = vector, 
PS = pseudoscalar), when V is produced by 
PS → PS + V or PS → gamma + V
      •  

    •  11 : Dalitz decay into one particle, in addition to the 
lepton pair (also allowed to specify a quark-antiquark pair that 
should collapse to a single hadron)
      •  

    •  12 : Dalitz decay into two or more particles in addition 
to the lepton pair
      •  

    •  13 : double Dalitz decay into two lepton pairs
      •  

    •  21 : decay to phase space, but weight up neutrino_tau spectrum 
in tau decay
      •  

    •  22 : weak decay; if there is a quark spectator system it collapses to 
one hadron; for leptonic/semileptonic decays the V-A matrix element 
is used, for hadronic decays simple phase space
      •  

    •  23 : as 22, but require at least three particles in decay
      •  

    •  31 : decays of type B → gamma X, very primitive simulation where 
X is given in terms of its flavour content, the X multiplicity is picked 
according to a geometrical distribution with average number 2, and 
the photon energy spectrum is weighted up relative to pure phase space
      •  

    •  42 - 50 : turn partons into a random number of hadrons, picked according 
to a Poissonian with average value as described above, but at least 
code - 40 and at most 10, and then distribute then in pure 
phase space; make a new try with another multiplicity if the sum of daughter 
masses exceed the mother one 
      •  

    •  52 - 60 : as 42 - 50, with multiplicity between code - 50 
and 10, but avoid already explicitly listed non-partonic channels
      •  

    •  62 - 70 : as 42 - 50, but fixed multiplicity code - 60
      •  

    •  72 - 80 : as 42 - 50, but fixed multiplicity code - 70, 
and avoid already explicitly listed non-partonic channels
      •  

    •  91 : decay to q qbar or g g, which should shower 
and hadronize
      •  

    •  92 : decay onium to g g g or g g gamma 
(with matrix element), which should shower and hadronize
      •  

    •  100 - : reserved for the description of partial widths of 
resonances
      •  

     
 
Three special decay product identity codes are defined. 

       

    • 81: remnant flavour. Used for weak decays of c and b hadrons, where the 
c or b quark decays and the other quarks are considered as a spectator 
remnant in this decay. In practice only used for baryons with multiple 
c and b quarks, which presumably would never be used, but have simple 
(copied) just-in-case decay tables. Assumed to be last decay product.
      •  

    • 82: random flavour, picked by the standard fragmentation flavour 
machinery, used to start a sequence of hadrons, for matrix element 
codes in 41 - 80. Assumed to be first decay product, with -82 as second 
and last. Where multiplicity is free to be picked it is selected as for 
normal quarkonic systems. Currently unused.
      •  

    • 83: as for 82, with matched pair 83, -83 of decay products. The 
difference is that here the pair is supposed to come from a closed gluon 
loop (e.g. eta_c → g g) and so have a somewhat higher average 
multiplicity than the simple string assumed for 82, see the 
ParticleDecays:multGoffset parameter above.
      •  

     
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/TimelikeShowers.xml0000444000175000017500000011007512357055030017467 0ustar  sunsun 
     

    Timelike Showers
     
 
The PYTHIA algorithm for timelike final-state showers is based on 
the article Sjo05, where a transverse-momentum-ordered 
evolution scheme is introduced, with the extension to fully interleaved 
evolution covered in Cor10a. This algorithm is influenced by 
the previous mass-ordered algorithm in PYTHIA Ben87 and by 
the dipole-emission formulation in Ariadne Gus86. From the 
mass-ordered algorithm it inherits a merging procedure for first-order 
gluon-emission matrix elements in essentially all two-body decays 
in the standard model and its minimal supersymmetric extension 
Nor01. 
 

     
The normal user is not expected to call TimeShower directly, 
but only have it called from Pythia. Some of the parameters 
below, in particular TimeShower:alphaSvalue, would be of 
interest for a tuning exercise, however. 
 

    Main variables
     
 
Often the maximum scale of the FSR shower evolution is understood from the 
context. For instance, in a resonance decay half the resonance mass sets an 
absolute upper limit. For a hard process in a hadronic collision the choice 
is not as unique. Here the factorization 
scale has been chosen as the maximum evolution scale. This would be 
the pT for a 2 → 2 process, supplemented by mass terms 
for massive outgoing particles. For some special applications we do allow 
an alternative. 
 
 
Way in which the maximum shower evolution scale is set to match the 
scale of the hard process itself. 
 
 
 
Note 1: as enumerated in the text, these options take effect 
both for internal and external processes. Whether a particular option 
makes sense depends on the context. For instance, if events for the same 
basic process to different orders are to be matched, then option 1 would 
be a reasonable first guess. But in more sophisticated descriptions 
option 2 could be combined with UserHooks vetoes on 
emissions that would lead to double-counting, using more flexible 
phase space boundaries. Further details are found in the 
Matching and Merging description, 
with an example in examples/main31. 
Option 0, finally, may be most realistic when only Born-level processes 
are involved, possibly in combination with a nonzero 
TimeShower:pTdampMatch. 
Note 2: These options only apply to the hard interaction. 
If a "second hard" process is present, the two are analyzed and 
set separately for the default 0 option, while both are affected 
the same way for non-default options 1 and 2. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of each process itself. The options 
also assume that you use interleaved evolution, so that FSR is in direct 
competition with ISR for the hardest emission. If you already 
generated a number of ISR partons at low pT, it would not 
make sense to have a later FSR shower up to the kinematical limit 
for all of them. 
Note 3: Recall that resonance decays are not affected by 
this mode, but that showers there are always set to fill the full phase 
space, often with built-in matrix-element-matching that give a NLO 
accuracy. A modification of this behaviour would require you to 
work with UserHooks. 
 
 
 
In cases where the above pTmaxMatch rules would imply 
that pT_max = pT_factorization, pTmaxFudge 
introduces a multiplicative factor f such that instead 
pT_max = f * pT_factorization. Only applies to the hardest 
interaction in an event, and a "second hard" if there is such a one, 
cf. below. It is strongly suggested that f = 1, but variations 
around this default can be useful to test this assumption. 
Note:Scales for resonance decays are not affected, but can 
be set separately by user hooks. 
 
 
 
A multiplicative factor f such that 
pT_max = f * pT_factorization, as above, but here for the 
non-hardest interactions (when multiparton interactions are allowed). 
 
 
 
These options only take effect when a process is allowed to radiate up 
to the kinematical limit by the above pTmaxMatch choice, 
and no matrix-element corrections are available. Then, in many processes, 
the fall-off in pT will be too slow by one factor of pT^2. 
That is, while showers have an approximate dpT^2/pT^2 shape, often 
it should become more like dpT^2/pT^4 at pT values above 
the scale of the hard process. This argument is more obvious and relevant 
for ISR, where emissions could go the the kinematical limit, whereas they 
are constrained by the respective dipole mass for FSR. Nevertheless this 
matching option is offered for FSR to have a (semi-)symmetric description. 
Note that a dampening factor is applied to all dipoles in the final state 
of the hard process, which is somewhat different from the ISR implementation. 
 
 
 
Note: These options only apply to the hard interaction. 
Specifically, a "second hard" interaction would not be affected. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of the process itself. 
 
 
 
In cases 1 and 2 above, where a dampening is imposed at around the 
factorization or renormalization scale, respectively, this allows the 
pT scale of dampening of radiation by a half to be shifted 
by this factor relative to the default Q_fac or Q_ren. 
This number ought to be in the neighbourhood of unity, but variations 
away from this value could do better in some processes. 
 
 

     
The amount of QCD radiation in the shower is determined by 
 
The alpha_strong value at scale M_Z^2. The default 
value corresponds to a crude tuning to LEP data, to be improved. 
 
 

     
The actual value is then regulated by the running to the scale 
pT^2, at which the shower evaluates alpha_strong. 
 
 
Order at which alpha_strong runs, 
 
 
 
 
 

     
The CMW rescaling of Lambda_QCD (see the section on 
StandardModelParameters) 
can be applied to the alpha_strong values used for 
timelike showers. Note that tunes using this option need lower values of 
alpha_strong(m_Z^2) than tunes that do not. 
 
 
 
 
 

     
QED radiation is regulated by the alpha_electromagnetic 
value at the pT^2 scale of a branching. 
  
 
The running of alpha_em. 
 
 
 
 
 

     
The natural scale for couplings, and PDFs for dipoles stretching out 
to the beam remnants, is pT^2. To explore uncertainties it 
is possibly to vary around this value, however, in analogy with what 
can be done for hard processes. 
 
 
The default pT^2 renormalization scale is multiplied by 
this prefactor. For QCD this is equivalent to a change of 
Lambda^2 in the opposite direction, i.e. to a change of 
alpha_strong(M_Z^2) (except that flavour thresholds 
remain at fixed scales). 
 
 
 
The default pT^2 factorization scale is multiplied by 
this prefactor. 
 
  

     
The rate of radiation if divergent in the pT → 0 limit. Here, 
however, perturbation theory is expected to break down. Therefore an 
effective pT_min cutoff parameter is introduced, below which 
no emissions are allowed. The cutoff may be different for QCD and QED 
radiation off quarks, and is mainly a technical parameter for QED 
radiation off leptons. 
 
 
Parton shower cut-off pT for QCD emissions. 
 
 
 
Parton shower cut-off pT for photon coupling to coloured particle. 
 
 
 
Parton shower cut-off pT for pure QED branchings. 
Assumed smaller than (or equal to) pTminChgQ. 
 
 

     
Shower branchings gamma → f fbar, where f is a 
quark or lepton, in part compete with the hard processes involving 
gamma^*/Z^0 production. In order to avoid overlap it makes 
sense to correlate the maximum gamma mass allowed in showers 
with the minimum gamma^*/Z^0 mass allowed in hard processes. 
In addition, the shower contribution only contains the pure 
gamma^* contribution, i.e. not the Z^0 part, so 
the mass spectrum above 50 GeV or so would not be well described. 
 
 
Maximum invariant mass allowed for the created fermion pair in a 
gamma → f fbar branching in the shower. 
 
 

    Interleaved evolution
     
 
Multiparton interactions (MPI) and initial-state showers (ISR) are 
always interleaved, as follows. Starting from the hard interaction, 
the complete event is constructed by a set of steps. In each step 
the pT scale of the previous step is used as starting scale 
for a downwards evolution. The MPI and ISR components each make 
their respective Monte Carlo choices for the next lower pT 
value. The one with larger pT is allowed to carry out its 
proposed action, thereby modifying the conditions for the next steps. 
This is relevant since the two components compete for the energy 
contained in the beam remnants: both an interaction and an emission 
take away some of the energy, leaving less for the future. The end 
result is a combined chain of decreasing pT values, where 
ones associated with new interactions and ones with new emissions 
are interleaved. 
 

     
There is no corresponding requirement for final-state radiation (FSR) 
to be interleaved. Such an FSR emission does not compete directly for 
beam energy (but see below), and also can be viewed as occurring after 
the other two components in some kind of time sense. Interleaving is 
allowed, however, since it can be argued that a high-pT FSR 
occurs on shorter time scales than a low-pT MPI, say. 
Backwards evolution of ISR is also an example that physical time 
is not the only possible ordering principle, but that one can work 
with conditional probabilities: given the partonic picture at a 
specific pT resolution scale, what possibilities are open 
for a modified picture at a slightly lower pT scale, either 
by MPI, ISR or FSR? Complete interleaving of the three components also 
offers advantages if one aims at matching to higher-order matrix 
elements above some given scale. 
 
 
If on, final-state emissions are interleaved in the same 
decreasing-pT chain as multiparton interactions and initial-state 
emissions. If off, final-state emissions are only addressed after the 
multiparton interactions and initial-state radiation have been considered. 
 
 

     
As an aside, it should be noted that such interleaving does not affect 
showering in resonance decays, such as a Z^0. These decays are 
only introduced after the production process has been considered in full, 
and the subsequent FSR is carried out inside the resonance, with 
preserved resonance mass. 
 

     
One aspect of FSR for a hard process in hadron collisions is that often 
colour dipoles are formed between a scattered parton and a beam remnant, 
or rather the hole left behind by an incoming partons. If such holes 
are allowed as dipole ends and take the recoil when the scattered parton 
undergoes a branching then this translates into the need to take some 
amount of remnant energy also in the case of FSR, i.e. the roles of 
ISR and FSR are not completely decoupled. The energy taken away is 
bookkept by increasing the x value assigned to the incoming 
scattering parton, and a reweighting factor 
x_new f(x_new, pT^2) / x_old f(x_old, pT^2) 
in the emission probability ensures that not unphysically large 
x_new values are reached. Usually such x changes are 
small, and they can be viewed as a higher-order effect beyond the 
accuracy of the leading-log initial-state showers. 
 

     
This choice is not unique, however. As an alternative, if nothing else 
useful for cross-checks, one could imagine that the FSR is completely 
decoupled from the ISR and beam remnants. 
 
 
If on, the final-state shower is allowed to borrow energy from 
the beam remnants as described above, thereby changing the mass of the 
scattering subsystem. If off, the partons in the scattering subsystem 
are constrained to borrow energy from each other, such that the total 
four-momentum of the system is preserved. This flag has no effect 
on resonance decays, where the shower always preserves the resonance 
mass, cf. the comment above about showers for resonances never being 
interleaved. 
 
 
 
When beam recoil is allowed there is still some ambiguity how far 
into the beam end of the dipole that emission should be allowed. 
It is dampened in the beam region, but probably not enough. 
When on an additional suppression factor 
4 pT2_hard / (4 pT2_hard + m2) is multiplied on to the 
emission probability. Here pT_hard is the transverse momentum 
of the radiating parton and m the off-shell mass it acquires 
by the branching, m2 = pT2/(z(1-z)). Note that 
m2 = 4 pT2_hard is the kinematical limit for a scattering 
at 90 degrees without beam recoil. 
 
 

    Global recoil
     
 
The final-state algorithm is based on dipole-style recoils, where 
one single parton takes the full recoil of a branching. This is unlike 
the initial-state algorithm, where the complete already-existing 
final state shares the recoil of each new emission. As an alternative, 
also the final-state algorithm contains an option where the recoil 
is shared between all partons in the final state. Thus the radiation 
pattern is unrelated to colour correlations. This is especially 
convenient for some matching algorithms, like MC@NLO, where a full 
analytic knowledge of the shower radiation pattern is needed to avoid 
double-counting. (The pT-ordered shower is described in 
Sjo05, and the corrections for massive radiator and recoiler 
in Nor01.) 
 

     
Technically, the radiation pattern is most conveniently represented 
in the rest frame of the final state of the hard subprocess. Then, for 
each parton at a time, the rest of the final state can be viewed as 
a single effective parton. This "parton" has a fixed invariant mass 
during the emission process, and takes the recoil without any changed 
direction of motion. The momenta of the individual new recoilers are 
then obtained by a simple common boost of the original ones. 
 

     
This alternative approach will miss out on the colour coherence 
phenomena. Specifically, with the whole subcollision mass as "dipole" 
mass, the phase space for subsequent emissions is larger than for 
the normal dipole algorithm. The phase space difference grows as 
more and more gluons are created, and thus leads to a way too steep 
multiplication of soft gluons. Therefore the main application is 
for the first one or few emissions of the shower, where a potential 
overestimate of the emission rate is to be corrected for anyway, 
by matching to the relevant matrix elements. Thereafter, subsequent 
emissions should be handled as before, i.e. with dipoles spanned 
between nearby partons. Furthermore, only the first (hardest) 
subcollision is handled with global recoils, since subsequent MPI's 
would not be subject to matrix element corrections anyway. 
 

     
In order for the mid-shower switch from global to local recoils 
to work, colours are traced and bookkept just as for normal showers; 
it is only that this information is not used in those steps where 
a global recoil is requested. (Thus, e.g., a gluon is still bookkept 
as one colour and one anticolour dipole end, with half the charge 
each, but with global recoil those two ends radiate identically.) 
 
 
Alternative approach as above, where all final-state particles share 
the recoil of an emission. 

    If off, then use the standard dipole-recoil approach. 

    If on, use the alternative global recoil, but only for the first 
interaction, and only while the number of particles in the final state 
is at most TimeShower:nMaxGlobalRecoil before the 
branching. 
     
   
 
Represents the maximum number of particles in the final state for which 
the next final-state emission can be performed with the global recoil 
strategy. This number counts all particles, whether they are 
allowed to radiate or not, e.g. also Z^0. Also partons 
created by initial-state radiation emissions counts towards this sum, 
as part of the interleaved evolution. Without interleaved evolution 
this option would not make sense, since then a varying and large 
number of partons could already have been created by the initial-state 
radiation before the first final-state one, and then there is not 
likely to be any matrix elements available for matching. 
 
 

     
Two variations of the scheme outlined above are also available, 
(motivated by comparative studies within aMC@NLO). These studies indicate 
that global recoils should be used as sparsely as possible, in order to 
retain desirable features of the radiation pattern produced with the local 
recoil prescription. 
 
 
Choice which splittings are produced with the global recoil approach. 
 
 
 
 
 
 
The maximum number of splittings in the final state for which 
the next final-state emission can be performed with the global recoil 
strategy. This number has to be set if TimeShower:globalRecoilMode = 1 
 or TimeShower:globalRecoilMode = 2 
 
 
 
The number of partons for Born-like phase space points. This number needs 
to be set if a different treatment of S-events (with Born-like kinematics) 
and H-events (with real-emission kinematics) is desired. This number has 
to be set if TimeShower:globalRecoilMode = 2. 
 
 
 
If on, limit the maximal pT produced in branchings in the global recoil scheme 
exactly as in the default (local) scheme. This means that the mass of the 
splitting dipole will set an upper bound for the pT of an emission. 
To be more explicit, this disallows emissions with pT larger than 
min{μstart 2, mD2/4}, 
with mD2 = 
(√ (pr 
+ps)2 -m0,s)2 
- m0,r2 , where 
the shower starting scale is μstart (i.e. SCALUP when 
reading LHE files, and  Info.QFac() otherwise), r the 
radiating parton, and s the recoiling particle that would have been 
used in the local recoil scheme. This option is only used if wimpy showers are 
enabled. 
 
 

     
The global-recoil machinery does not work well with rescattering in the 
MPI machinery, since then the recoiling system is not uniquely defined. 
MultipartonInteractions:allowRescatter = off by default, 
so this is not a main issue. If both options are switched on, 
rescattering will only be allowed to kick in after the global recoil 
has ceased to be active, i.e. once the nMaxGlobalRecoil 
limit has been exceeded. This should not be a major conflict, 
since rescattering is mainly of interest at later stages of the 
downwards pT evolution. 
 

     
Further, it is strongly recommended to set 
TimeShower:MEcorrections = off (not default!), i.e. not 
to correct the emission probability to the internal matrix elements. 
The internal ME options do not cover any cases relevant for a multibody 
recoiler anyway, so no guarantees are given what prescription would 
come to be used. Instead, without ME corrections,  a process-independent 
emission rate is obtained, and  user hooks 
can provide the desired process-specific rejection factors. 
  

    Radiation off octet onium states
     
 
In the current implementation, charmonium and bottomonium production 
can proceed either through colour singlet or colour octet mechanisms, 
both of them implemented in terms of 2 → 2 hard processes 
such as g g → (onium) g. 
In the former case the state does not radiate and the onium therefore 
is produced in isolation, up to normal underlying-event activity. In 
the latter case the situation is not so clear, but it is sensible to 
assume that a shower can evolve. (Assuming, of course, that the 
transverse momentum of the onium state is sufficiently high that 
radiation is of relevance.) 
 

     
There could be two parts to such a shower. Firstly a gluon (or even a 
quark, though less likely) produced in a hard 2 → 2 process 
can undergo showering into many gluons, whereof one branches into the 
heavy-quark pair. Secondly, once the pair has been produced, each quark 
can radiate further gluons. This latter kind of emission could easily 
break up a semibound quark pair, but might also create a new semibound 
state where before an unbound pair existed, and to some approximation 
these two effects should balance in the onium production rate. 
The showering "off an onium state" as implemented here therefore should 
not be viewed as an accurate description of the emission history 
step by step, but rather as an effective approach to ensure that the 
octet onium produced "in the hard process" is embedded in a realistic 
amount of jet activity. 
Of course both the isolated singlet and embedded octet are likely to 
be extremes, but hopefully the mix of the two will strike a reasonable 
balance. However, it is possible that some part of the octet production 
occurs in channels where it should not be accompanied by (hard) radiation. 
Therefore reducing the fraction of octet onium states allowed to radiate 
is a valid variation to explore uncertainties. 
 

     
If an octet onium state is chosen to radiate, the simulation of branchings 
is based on the assumption that the full radiation is provided by an 
incoherent sum of radiation off the quark and off the antiquark of the 
onium state. Thus the splitting kernel is taken to be the normal 
q → q g one, multiplied by a factor of two. Obviously this is 
a simplification of a more complex picture, averaging over factors pulling 
in different directions. Firstly, radiation off a gluon ought 
to be enhanced by a factor 9/4 relative to a quark rather than the 2 
now used, but this is a minor difference. Secondly, our use of the 
q → q g branching kernel is roughly equivalent to always 
following the harder gluon in a g → g g branching. This could 
give us a bias towards producing too hard onia. A soft gluon would have 
little phase space to branch into a heavy-quark pair however, so the 
bias may not be as big as it would seem at first glance. Thirdly, 
once the gluon has branched into a quark pair, each quark carries roughly 
only half of the onium energy. The maximum energy per emitted gluon should 
then be roughly half the onium energy rather than the full, as it is now. 
Thereby the energy of radiated gluons is exaggerated, i.e. onia become too 
soft. So the second and the third points tend to cancel each other. 
 

     
Finally, note that the lower cutoff scale of the shower evolution depends 
on the onium mass rather than on the quark mass, as it should be. Gluons 
below the octet-onium scale should only be part of the octet-to-singlet 
transition. 
 
 
Allow colour-octet charmonium and bottomonium states to radiate gluons. 
0 means that no octet-onium states radiate, 1 that all do, with possibility 
to interpolate between these two extremes. 
 
 
 
The colour factor used used in the splitting kernel for those octet onium 
states that are allowed to radiate, normalized to the q → q g 
splitting kernel. Thus the default corresponds to twice the radiation 
off a quark. The physically preferred range would be between 1 and 9/4. 
 
  

    Weak showers
     
 
The emission of weak gauge bosons is an integrated part of the initial- 
and final-state radiation, see Weak Showers. 
The following settings are those specifically related to the final-state 
weak radiation, while common settings are found in the 
Weak Showers description. 
 
 
Allow a weak shower, yes or no. 
 
 
 
Determine which branchings are allowed. 
 
 
 
 
 
 
Parton shower cut-off pT for weak branchings. 
 
 

    Further variables
     
 
There are several possibilities you can use to switch on or off selected 
branching types in the shower, or in other respects simplify the shower. 
These should normally not be touched. Their main function is for 
cross-checks. 
 
 
Allow a QCD shower, i.e. branchings q → q g, 
g → g g and g → q qbar; on/off = true/false. 
 
 
 
Number of allowed quark flavours in g → q qbar branchings 
(phase space permitting). A change to 4 would exclude 
g → b bbar, etc. 
 
 
 
Different options to assign kinematics distributions and weights 
for g → q qbar branchings, notably for charm and bottom 
quarks. These options also have the corresponding effect on 
gamma → f fbar branchings.
Notation: r_q = m_q^2/m_qq^2, beta = sqrt(1 - 4r_q), with 
m_q the quark mass and m_qq the q qbar pair 
invariant mass. The scale factor k is described below, 
TimeShower:scaleGluonToQuark.
 







 
 
 
Extra scale parameter k for TimeShower:weightGluonToQuark
options 5 - 8. Comes on top of TimeShower:renormMultFac, which
affects alpha_s(pT^2) alike.
 

 
Allow quarks to radiate photons, i.e. branchings q → q gamma; 
on/off = true/false. 
 
 
 
Allow leptons to radiate photons, i.e. branchings l → l gamma; 
on/off = true/false. 
 
 
 
Allow photons to branch into lepton or quark pairs, i.e. branchings 
gamma → l+ l- and gamma → q qbar; 
on/off = true/false. 
 
 
 
Number of allowed quark flavours in gamma → q qbar branchings 
(phase space permitting). A change to 4 would exclude 
g → b bbar, etc. 
 
 
 
Number of allowed lepton flavours in gamma → l+ l- branchings 
(phase space permitting). A change to 2 would exclude 
gamma → tau+ tau-, and a change to 1 also 
gamma → mu+ mu-. 
 
 
 
Use of matrix element corrections where available; on/off = true/false. 
 
 
 
Use of matrix element corrections also after the first emission, 
for dipole ends of the same system that did not yet radiate. 
Only has a meaning if MEcorrections above is 
switched on. 
 
 
 
Azimuthal asymmetry induced by gluon polarization; on/off = true/false. 
 
 
 
In the decays of coloured resonances, say t → b W, it is not 
possible to set up dipoles with matched colours. Originally the 
b radiator therefore has W as recoiler, and that 
choice is unique. Once a gluon has been radiated, however, it is 
possible either to have the unmatched colour (inherited by the gluon) 
still recoiling against the W (off), or else 
let it recoil against the b also for this dipole 
(on). Before version 8.160 the former was the only 
possibility, which could give unphysical radiation patterns. It is 
kept as an option to check backwards compatibility. The same issue 
exists for QED radiation, but obviously is less significant. Consider 
the example W → e nu, where originally the nu 
takes the recoil. In the old (off) scheme the nu 
would remain recoiler, while in the new (on) instead 
each newly emitted photon becomes the new recoiler. 
 
 
 
Allow the possibility to use a fixed factorization scale, set by 
the parm below. This option is unphysical and only 
intended for toy-model and debug studies. 
 
 
 
The fixed factorization scale, in GeV, that would be used in the 
evaluation of parton densities if the flag above is on. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/ExternalDecays.xml0000444000175000017500000000607112357055017017271 0ustar  sunsun 
 

    External Decays
     
 
DecayHandler is a base class for the external handling of 
decays. It is intended for normal particle decays, primarily 
B mesons and tau, and cannot be used to redirect 
decays of heavy resonances like t or Z^0. 
The user-written derived class is called if a pointer to it has 
been given with the 
pythia.decayPtr() 
method, where it also is specified which particles it will be called for. 
This particle information is accessible with the 
doExternalDecay() 
method. 
 

     
There is only one pure virtual method in DecayHandler, 
to do the decay: 
 
where 
 is a list of particle PDG identity codes, 
 
 is a list of their respective masses (in GeV), and 
 
 is a list of their respective four-momenta. 
 
 
 

     
At input, these vectors each have size one, so that idProd[0], 
mProd[0] and pProd[0] contain information on the 
particle that is to be decayed. At output, the vectors should have 
increased by the addition of all the decay products. Even if initially 
defined in the rest frame of the mother, the products should have been 
boosted so that their four-momenta add up to the pProd[0] of 
the decaying particle. 
 

     
Should it be of interest to know the prehistory of the decaying 
particle, e.g. to set some helicity information affecting the 
decay angular distribution, the full event record is available 
read-only, with info in which slot iDec the decaying particle 
is stored. 
 

     
The routine should return true if it managed the decay and 
false otherwise, in which case Pythia will try 
to do the decay itself. This e.g. means you can choose to do some decay 
channels yourself, and leave others to Pythia. To avoid 
double-counting, the channels you want to handle should be switched off 
in the Pythia particle database. In the beginning of the 
external decay method you should then return 
false with a probability given by the sum of the branching 
ratios for those channels you do not want to handle yourself. 
 

     
Note that the decay vertex is always set by Pythia, and that 
B-Bbar oscillations have already been taken into account, 
if they were switched on. Thus idProd[0] may be the opposite 
of event[iDec].id(), where the latter provides the code at 
production. 
 

     
A sample test program is available in main17.cc, providing 
a simple example of how to use this facility. 
 
 
 
 
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      0.39394E+00  0.38898E+00  0.38343E+00  0.37745E+00  0.37120E+00 
      0.36477E+00  0.35825E+00  0.35169E+00  0.34514E+00  0.33864E+00 
      0.33224E+00  0.32591E+00  0.31970E+00  0.31362E+00  0.30767E+00 
      0.30186E+00  0.29620E+00  0.29068E+00  0.28530E+00  0.28006E+00

      0.30448E+00  0.33138E+00  0.35654E+00  0.37318E+00  0.38322E+00 
      0.38832E+00  0.38986E+00  0.38856E+00  0.38585E+00  0.38169E+00 
      0.37649E+00  0.37060E+00  0.36424E+00  0.35758E+00  0.35073E+00 
      0.34381E+00  0.33686E+00  0.32995E+00  0.32311E+00  0.31638E+00 
      0.30979E+00  0.30331E+00  0.29698E+00  0.29082E+00  0.28482E+00 
      0.27898E+00  0.27332E+00  0.26781E+00  0.26246E+00  0.25726E+00 
      0.30897E+00  0.33250E+00  0.35434E+00  0.36804E+00  0.37551E+00 
      0.37837E+00  0.37798E+00  0.37506E+00  0.37090E+00  0.36551E+00 
      0.35926E+00  0.35248E+00  0.34536E+00  0.33806E+00  0.33068E+00 
      0.32330E+00  0.31598E+00  0.30876E+00  0.30167E+00  0.29474E+00 
      0.28800E+00  0.28141E+00  0.27500E+00  0.26879E+00  0.26277E+00 
      0.25693E+00  0.25129E+00  0.24582E+00  0.24053E+00  0.23541E+00 
      0.31348E+00  0.33360E+00  0.35211E+00  0.36285E+00  0.36775E+00 
      0.36840E+00  0.36611E+00  0.36160E+00  0.35604E+00  0.34945E+00 
      0.34221E+00  0.33458E+00  0.32675E+00  0.31886E+00  0.31099E+00 
      0.30320E+00  0.29555E+00  0.28807E+00  0.28077E+00  0.27368E+00 
      0.26684E+00  0.26017E+00  0.25371E+00  0.24749E+00  0.24148E+00 
      0.23568E+00  0.23009E+00  0.22469E+00  0.21948E+00  0.21445E+00 
      0.31804E+00  0.33471E+00  0.34983E+00  0.35760E+00  0.35992E+00 
      0.35837E+00  0.35421E+00  0.34814E+00  0.34121E+00  0.33348E+00 
      0.32528E+00  0.31686E+00  0.30837E+00  0.29994E+00  0.29163E+00 
      0.28348E+00  0.27554E+00  0.26784E+00  0.26038E+00  0.25318E+00 
      0.24627E+00  0.23955E+00  0.23309E+00  0.22689E+00  0.22092E+00 
      0.21519E+00  0.20968E+00  0.20437E+00  0.19927E+00  0.19436E+00 
      0.32267E+00  0.33581E+00  0.34750E+00  0.35225E+00  0.35198E+00 
      0.34824E+00  0.34222E+00  0.33464E+00  0.32637E+00  0.31754E+00 
      0.30843E+00  0.29926E+00  0.29017E+00  0.28124E+00  0.27254E+00 
      0.26408E+00  0.25591E+00  0.24803E+00  0.24045E+00  0.23318E+00 
      0.22624E+00  0.21953E+00  0.21309E+00  0.20694E+00  0.20106E+00 
      0.19542E+00  0.19002E+00  0.18484E+00  0.17988E+00  0.17512E+00 
      0.32738E+00  0.33692E+00  0.34509E+00  0.34678E+00  0.34390E+00 
      0.33796E+00  0.33011E+00  0.32102E+00  0.31147E+00  0.30157E+00 
      0.29160E+00  0.28174E+00  0.27209E+00  0.26272E+00  0.25368E+00 
      0.24496E+00  0.23660E+00  0.22861E+00  0.22096E+00  0.21365E+00 
      0.20674E+00  0.20006E+00  0.19369E+00  0.18764E+00  0.18186E+00 
      0.17635E+00  0.17110E+00  0.16607E+00  0.16127E+00  0.15668E+00 
      0.33220E+00  0.33804E+00  0.34258E+00  0.34115E+00  0.33562E+00 
      0.32747E+00  0.31778E+00  0.30723E+00  0.29642E+00  0.28550E+00 
      0.27473E+00  0.26422E+00  0.25407E+00  0.24433E+00  0.23500E+00 
      0.22608E+00  0.21759E+00  0.20952E+00  0.20185E+00  0.19457E+00 
      0.18771E+00  0.18112E+00  0.17486E+00  0.16894E+00  0.16331E+00 
      0.15797E+00  0.15289E+00  0.14805E+00  0.14344E+00  0.13905E+00 
      0.33717E+00  0.33915E+00  0.33995E+00  0.33530E+00  0.32707E+00 
      0.31669E+00  0.30518E+00  0.29318E+00  0.28115E+00  0.26926E+00 
      0.25773E+00  0.24665E+00  0.23606E+00  0.22599E+00  0.21644E+00 
      0.20738E+00  0.19882E+00  0.19074E+00  0.18310E+00  0.17589E+00 
      0.16914E+00  0.16268E+00  0.15658E+00  0.15083E+00  0.14539E+00 
      0.14025E+00  0.13538E+00  0.13075E+00  0.12637E+00  0.12220E+00 
      0.34234E+00  0.34029E+00  0.33715E+00  0.32917E+00  0.31816E+00 
      0.30552E+00  0.29218E+00  0.27877E+00  0.26555E+00  0.25275E+00 
      0.24053E+00  0.22893E+00  0.21797E+00  0.20765E+00  0.19796E+00 
      0.18882E+00  0.18025E+00  0.17222E+00  0.16467E+00  0.15760E+00 
      0.15101E+00  0.14473E+00  0.13883E+00  0.13330E+00  0.12809E+00 
      0.12319E+00  0.11857E+00  0.11419E+00  0.11006E+00  0.10614E+00 
      0.34776E+00  0.34144E+00  0.33415E+00  0.32266E+00  0.30879E+00 
      0.29384E+00  0.27867E+00  0.26388E+00  0.24952E+00  0.23586E+00 
      0.22302E+00  0.21098E+00  0.19973E+00  0.18925E+00  0.17948E+00 
      0.17035E+00  0.16185E+00  0.15393E+00  0.14655E+00  0.13967E+00 
      0.13331E+00  0.12726E+00  0.12161E+00  0.11635E+00  0.11142E+00 
      0.10679E+00  0.10245E+00  0.98358E-01  0.94510E-01  0.90877E-01

      0.35352E+00  0.34261E+00  0.33087E+00  0.31567E+00  0.29880E+00 
      0.28149E+00  0.26449E+00  0.24834E+00  0.23291E+00  0.21847E+00 
      0.20509E+00  0.19271E+00  0.18127E+00  0.17071E+00  0.16096E+00 
      0.15192E+00  0.14357E+00  0.13586E+00  0.12871E+00  0.12209E+00 
      0.11602E+00  0.11028E+00  0.10494E+00  0.99994E-01  0.95382E-01 
      0.91077E-01  0.87063E-01  0.83290E-01  0.79760E-01  0.76440E-01 
      0.35975E+00  0.34381E+00  0.32720E+00  0.30802E+00  0.28799E+00 
      0.26825E+00  0.24942E+00  0.23197E+00  0.21553E+00  0.20041E+00 
      0.18661E+00  0.17400E+00  0.16247E+00  0.15196E+00  0.14234E+00 
      0.13350E+00  0.12540E+00  0.11798E+00  0.11116E+00  0.10489E+00 
      0.99175E-01  0.93798E-01  0.88831E-01  0.84262E-01  0.80024E-01 
      0.76088E-01  0.72438E-01  0.69024E-01  0.65846E-01  0.62870E-01 
      0.36660E+00  0.34505E+00  0.32302E+00  0.29948E+00  0.27609E+00 
      0.25384E+00  0.23319E+00  0.21452E+00  0.19717E+00  0.18149E+00 
      0.16741E+00  0.15472E+00  0.14326E+00  0.13292E+00  0.12357E+00 
      0.11505E+00  0.10733E+00  0.10031E+00  0.93914E-01  0.88076E-01 
      0.82808E-01  0.77873E-01  0.73347E-01  0.69214E-01  0.65403E-01 
      0.61886E-01  0.58644E-01  0.55627E-01  0.52834E-01  0.50232E-01 
      0.37432E+00  0.34632E+00  0.31809E+00  0.28971E+00  0.26270E+00 
      0.23785E+00  0.21541E+00  0.19563E+00  0.17753E+00  0.16148E+00 
      0.14731E+00  0.13473E+00  0.12353E+00  0.11355E+00  0.10463E+00 
      0.96591E-01  0.89378E-01  0.82894E-01  0.77031E-01  0.71733E-01 
      0.66997E-01  0.62589E-01  0.58578E-01  0.54944E-01  0.51617E-01 
      0.48568E-01  0.45777E-01  0.43195E-01  0.40819E-01  0.38619E-01 
      0.38327E+00  0.34760E+00  0.31205E+00  0.27814E+00  0.24718E+00 
      0.21967E+00  0.19553E+00  0.17485E+00  0.15624E+00  0.14008E+00 
      0.12609E+00  0.11388E+00  0.10318E+00  0.93795E-01  0.85518E-01 
      0.78144E-01  0.71612E-01  0.65809E-01  0.60618E-01  0.55976E-01 
      0.51874E-01  0.48082E-01  0.44663E-01  0.41595E-01  0.38810E-01 
      0.36277E-01  0.33977E-01  0.31864E-01  0.29933E-01  0.28157E-01 
      0.39406E+00  0.34884E+00  0.30423E+00  0.26382E+00  0.22853E+00 
      0.19836E+00  0.17274E+00  0.15150E+00  0.13276E+00  0.11690E+00 
      0.10348E+00  0.92023E-01  0.82165E-01  0.73667E-01  0.66298E-01 
      0.59828E-01  0.54183E-01  0.49237E-01  0.44870E-01  0.41014E-01 
      0.37652E-01  0.34570E-01  0.31822E-01  0.29383E-01  0.27191E-01 
      0.25216E-01  0.23440E-01  0.21821E-01  0.20355E-01  0.19016E-01 
      0.40777E+00  0.34980E+00  0.29325E+00  0.24492E+00  0.20488E+00 
      0.17224E+00  0.14567E+00  0.12452E+00  0.10634E+00  0.91441E-01 
      0.79217E-01  0.69042E-01  0.60499E-01  0.53298E-01  0.47183E-01 
      0.41911E-01  0.37396E-01  0.33510E-01  0.30132E-01  0.27197E-01 
      0.24679E-01  0.22394E-01  0.20385E-01  0.18626E-01  0.17064E-01 
      0.15673E-01  0.14435E-01  0.13319E-01  0.12318E-01  0.11413E-01 
      0.42666E+00  0.34960E+00  0.27548E+00  0.21700E+00  0.17210E+00 
      0.13796E+00  0.11181E+00  0.92183E-01  0.75908E-01  0.63158E-01 
      0.53124E-01  0.45066E-01  0.38515E-01  0.33155E-01  0.28727E-01 
      0.24999E-01  0.21883E-01  0.19260E-01  0.17027E-01  0.15124E-01 
      0.13525E-01  0.12094E-01  0.10856E-01  0.97906E-02  0.88582E-02 
      0.80398E-02  0.73218E-02  0.66820E-02  0.61157E-02  0.56094E-02 
      0.46200E+00  0.34438E+00  0.23544E+00  0.16485E+00  0.11865E+00 
      0.87819E-01  0.66525E-01  0.51971E-01  0.40547E-01  0.32186E-01 
      0.25987E-01  0.21253E-01  0.17569E-01  0.14673E-01  0.12365E-01 
      0.10481E-01  0.89545E-02  0.77060E-02  0.66701E-02  0.58089E-02 
      0.51037E-02  0.44820E-02  0.39554E-02  0.35118E-02  0.31302E-02 
      0.28009E-02  0.25168E-02  0.22673E-02  0.20497E-02  0.18578E-02 
      0.67325E-01  0.49479E-01  0.33017E-01  0.22594E-01  0.15925E-01 
      0.11568E-01  0.86153E-02  0.66346E-02  0.50982E-02  0.39912E-02 
      0.31823E-02  0.25724E-02  0.21033E-02  0.17387E-02  0.14512E-02 
      0.12186E-02  0.10320E-02  0.88070E-03  0.75622E-03  0.65357E-03 
      0.57025E-03  0.49719E-03  0.43577E-03  0.38440E-03  0.34050E-03 
      0.30286E-03  0.27058E-03  0.24239E-03  0.21795E-03  0.19650E-03
pythia8-8.1.86.orig/xmldoc/ctq66.00.pds0000444000175000017500000141701612357055015015531 0ustar  sunsunPDF Table for Fit #: p82a3                                                    
  Ordr, Nfl, lambda        Qmass 1,  2,  3,         4,  5,  6
   2.   5.  0.2262    0.001    0.001    0.200    1.300    4.500  175.000
   IPD0, IHDN, IKNL, NfMx, Nfval,  KF, Nelmt
     1     1     2     5     2    12   45300
   NX,  NT,  JT,  NG, NTL(NG+1)
  150   24    1    2   24
(NTL(I), NTN(I), TLN(I), DTN(I), I =1, NG)
    0    7  5.58779E-01  7.66540E-02
    7   17  1.09536E+00  8.64425E-02
QINI, QMAX, (QV(I), TV(I), I =0, NT)
  1.30000E+00  1.00000E+05
  1.30000E+00  5.58779E-01
  1.49431E+00  6.35433E-01
  1.73684E+00  7.12087E-01
  2.04307E+00  7.88741E-01
  2.43457E+00  8.65395E-01
  2.94191E+00  9.42049E-01
  3.60899E+00  1.01870E+00
  4.50000E+00  1.09536E+00
  5.89476E+00  1.18180E+00
  7.91236E+00  1.26824E+00
  1.09066E+01  1.35468E+00
  1.54759E+01  1.44113E+00
  2.26644E+01  1.52757E+00
  3.43551E+01  1.61401E+00
  5.40692E+01  1.70045E+00
  8.86525E+01  1.78690E+00
  1.51992E+02  1.87334E+00
  2.73584E+02  1.95978E+00
  5.19288E+02  2.04622E+00
  1.04437E+03  2.13267E+00
  2.23717E+03  2.21911E+00
  5.13351E+03  2.30555E+00
  1.26969E+04  2.39199E+00
  3.40794E+04  2.47844E+00
  1.00000E+05  2.56488E+00
XMIN, XCR, (XV(I), I =1, NX)
  1.00000E-08  2.00000E+00
  1.00000E-08  1.21431E-08  1.47455E-08  1.79056E-08  2.17430E-08  2.64028E-08
  3.20612E-08  3.89322E-08  4.72758E-08  5.74075E-08  6.97106E-08  8.46503E-08
  1.02792E-07  1.24821E-07  1.51572E-07  1.84055E-07  2.23500E-07  2.71398E-07
  3.29562E-07  4.00190E-07  4.85954E-07  5.90099E-07  7.16563E-07  8.70129E-07
  1.05661E-06  1.28304E-06  1.55801E-06  1.89190E-06  2.29735E-06  2.78968E-06
  3.38752E-06  4.11348E-06  4.99500E-06  6.06542E-06  7.36521E-06  8.94352E-06
  1.08600E-05  1.31871E-05  1.60129E-05  1.94440E-05  2.36101E-05  2.86686E-05
  3.48105E-05  4.22678E-05  5.13218E-05  6.23140E-05  7.56590E-05  9.18593E-05
  1.11525E-04  1.35395E-04  1.64366E-04  1.99524E-04  2.42186E-04  2.93943E-04
  3.56724E-04  4.32859E-04  5.25162E-04  6.37028E-04  7.72549E-04  9.36645E-04
  1.13522E-03  1.37535E-03  1.66548E-03  2.01565E-03  2.43777E-03  2.94587E-03
  3.55639E-03  4.28845E-03  5.16411E-03  6.20855E-03  7.45017E-03  8.92057E-03
  1.06543E-02  1.26885E-02  1.50622E-02  1.78152E-02  2.09872E-02  2.46162E-02
  2.87372E-02  3.33809E-02  3.85725E-02  4.43308E-02  5.06677E-02  5.75882E-02
  6.50909E-02  7.31681E-02  8.18071E-02  9.09910E-02  1.00700E-01  1.10910E-01
  1.21599E-01  1.32742E-01  1.44313E-01  1.56288E-01  1.68643E-01  1.81355E-01
  1.94402E-01  2.07763E-01  2.21418E-01  2.35349E-01  2.49538E-01  2.63971E-01
  2.78630E-01  2.93504E-01  3.08578E-01  3.23841E-01  3.39282E-01  3.54890E-01
  3.70656E-01  3.86571E-01  4.02626E-01  4.18815E-01  4.35129E-01  4.51563E-01
  4.68109E-01  4.84763E-01  5.01519E-01  5.18372E-01  5.35316E-01  5.52349E-01
  5.69465E-01  5.86660E-01  6.03932E-01  6.21275E-01  6.38688E-01  6.56167E-01
  6.73709E-01  6.91311E-01  7.08970E-01  7.26683E-01  7.44449E-01  7.62263E-01
  7.80124E-01  7.98028E-01  8.15971E-01  8.33950E-01  8.51960E-01  8.69994E-01
  8.88042E-01  9.06086E-01  9.24098E-01  9.42012E-01  9.59663E-01  9.76499E-01
  9.90191E-01  9.96561E-01  9.98540E-01  9.99336E-01  9.99749E-01  1.00000E+00
Parton Distribution Table:
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
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  3.99454E+06  3.02307E+06  2.28641E+06  1.72815E+06  1.30534E+06  9.85309E+05
  7.43235E+05  5.60245E+05  4.22010E+05  3.17656E+05  2.38933E+05  1.79588E+05
  1.34882E+05  1.01230E+05  7.59180E+04  5.68930E+04  4.26044E+04  3.18813E+04
  2.38403E+04  1.78153E+04  1.33045E+04  9.93016E+03  7.40784E+03  5.52384E+03
  4.11763E+03  3.06884E+03  2.28712E+03  1.70482E+03  1.27128E+03  9.48649E+02
  7.08614E+02  5.30063E+02  3.97232E+02  2.98389E+02  2.24793E+02  1.69947E+02
  1.29020E+02  9.84271E+01  7.55054E+01  5.82834E+01  4.52976E+01  3.54653E+01
  2.79837E+01  2.22585E+01  1.78489E+01  1.44285E+01  1.17547E+01  9.64755E+00
  7.97262E+00  6.62976E+00  5.54389E+00  4.65848E+00  3.93084E+00  3.32843E+00
  2.82643E+00  2.40556E+00  2.05094E+00  1.75076E+00  1.49579E+00  1.27848E+00
  1.09289E+00  9.34024E-01  7.97907E-01  6.81116E-01  5.80898E-01  4.94840E-01
  4.20991E-01  3.57607E-01  3.03274E-01  2.56713E-01  2.16880E-01  1.82820E-01
  1.53756E-01  1.28970E-01  1.07879E-01  8.99451E-02  7.47357E-02  6.18520E-02
  5.09771E-02  4.18165E-02  3.41363E-02  2.77163E-02  2.23803E-02  1.79618E-02
  1.43268E-02  1.13492E-02  8.92790E-03  6.96851E-03  5.39600E-03  4.14093E-03
  3.14858E-03  2.36901E-03  1.76316E-03  1.29591E-03  9.40048E-04  6.71553E-04
  4.71990E-04  3.25399E-04  2.19685E-04  1.44613E-04  9.25428E-05  5.71823E-05
  3.39216E-05  1.90910E-05  1.00681E-05  4.85548E-06  2.07427E-06  7.34975E-07
  1.92196E-07  2.80714E-08  1.31191E-09  3.02133E-11  1.40717E-12  9.46906E-14
  6.55265E-15  0.00000E+00
pythia8-8.1.86.orig/xmldoc/PDFSelection.xml0000444000175000017500000005115212357055025016634 0ustar  sunsun 
 

    PDF Selection
     
 
This page contains five subsections. The first deals with how to 
pick  the parton distribution set for protons, including from LHAPDF, 
to be used for all proton and antiproton beams. The second is a special 
option that allows a separate PDF set to be used for the hard process 
only, while the first choice would still apply to everything else. 
The third and fourth give access to pion and Pomeron PDF's, respectively, 
the latter being used to describe diffractive systems. 
The fifth gives the possibility to switch off the lepton 
"parton density". More information on PDF classes is found 
here. 
 

    Parton densities for protons
     
 
The selection of parton densities is made once and then is propagated 
through the program. It is essential to make an informed choice, 
for several reasons Kas10: 
Warning 1: the choice of PDF set affects a number of 
properties of events. A change of PDF therefore requires a complete 
retuning e.g.  of the multiparton-interactions model for minimum-bias and 
underlying events. 
Warning 2: People often underestimate the differences 
between different sets on the market. The sets for the same order are 
constructed to behave more or less similarly at large x and 
Q^2, while the multiparton interactions are dominated by the 
behaviour in the region of small x and Q^2. A good 
PDF parametrization ought to be sensible down to x = 10^-6 
(x = 10^-7) and Q^2 = 1 GeV^2 for Tevatron (LHC) 
applications. Unfortunately there are distributions on the market that 
completely derail in that region. The main51.cc and 
main52.cc programs in the examples 
subdirectory provide some examples of absolutely minimal sanity checks 
before a new PDF set is put in production. 
Warning 3: NLO and LO sets tend to have quite different 
behaviours, e.g. NLO ones have less gluons at small x, which then is 
compensated by positive corrections in the NLO matrix elements. 
Therefore do not blindly assume that an NLO tune has to be better than 
an LO one when combined with the LO matrix elements in PYTHIA. There are 
explicit examples where such thinking can lead you down the wrong alley, 
especially if you study low-pT physics. In the list below you 
should therefore be extra cautious when using set 6 or set 9. 
 

     
The simplest option is to pick one 
of the distributions available internally: 
 
 
Parton densities to be used for proton beams (and, by implication, 
antiproton ones): 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
Note: the alpha_s(M_Z) values and the order of the 
running in the description above is purely informative, and does not 
affect any other parts of the program. Instead you have the freedom to 
set alpha_s(M_Z) value and running separately for 
hard processes 
(including resonance decays), 
multiparton interactions, 
initial-state radiation, and 
final-state radiation. 
 

     
This is a reasonably complete list of recent LO fits, both 
ones within the normal LO context and ones with modifications for better 
matching to event generators. In addition two older sets are 
included for backwards reference (most studies to date are based on 
CTEQ 5L). If you link to the 
LHAPDF 
library Wha05 you get access to a much wider selection. 
Warning 1: owing to previous problems with the behaviour 
of PDF's beyond the x and Q^2 boundaries of a set, 
you should only use LHAPDF version 5.3.0 or later. 
Warning 2: the behaviour of the LHAPDF sets need not be 
identical with the implementation found in PYTHIA. Specifically we 
are aware of the following points that may influence a comparison. 

    (a) CTEQ 5L in PYTHIA is the parametrization, in LHAPDF the grid 
interpolation. 

    (b) MRST LO* and LO** in PYTHIA is based on an updated edition, 
where one makes use of the expanded MSTW grid format, while LHAPDF 
is based on the original smaller grid. 

    (c) The CTEQ 6 and CT09MC sets in PYTHIA are frozen at the 
boundaries of the grid, by recommendation of the authors, while 
LHAPDF also offers an option with a smooth extrapolation outside 
the grid boundaries. 
 
 
If off then the choice of proton PDF is based on PDF:pSet 
above. If on then it is instead based on the choice of 
PDF:LHAPDFset and PDF:LHAPDFmember below. 
Note: in order for this option to work you must have 
compiled PYTHIA appropriately and have set the LHAPATH 
environment variable to provide the data-files directory of your local 
LHAPDF installation. See the README file in the examples 
directory for further instructions. 
 
 
 
Name of proton PDF set from LHAPDF to be used. You have to choose 
from the 
 
list of available sets. Examples of some fairly recent ones 
(but still less recent than found above) would be 
cteq61.LHpdf, cteq61.LHgrid, cteq6l.LHpdf, cteq6ll.LHpdf, 
MRST2004nlo.LHpdf, MRST2004nlo.LHgrid, MRST2004nnlo.LHgrid and 
MRST2004FF3lo.LHgrid. If you pick a LHpdf set it will require some 
calculation the first time it is called. 
Technical note: if you provide a name beginning with a 
slash (/) it is assumed you want to provide the full file path and then 
initPDFsetM(name) is called, else the correct path is assumed 
already set and initPDFsetByNameM(name) is called. 
 
 
 
Further choice of a specific member from the set picked above. Member 0 
should normally correspond to the central value, with higher values 
corresponding to different error PDF's somewhat off in different 
directions. You have to check from set to set which options are open. 
Note: you can only use one member in a run, so if you 
want to sweep over many members you either have to do many separate 
runs or, as a simplification, save the 
pdf weights at the hard scattering 
and do an offline reweighting of events. 
 
 
 
Parton densities have a guaranteed range of validity in x 
and Q^2, and what should be done beyond that range usually is 
not explained by the authors of PDF sets. Nevertheless these boundaries 
very often are exceeded, e.g. minimum-bias studies at LHC may sample 
x values down to 10^-8, while many PDF sets stop 
already at 10^-5. The default behaviour is then that the 
PDF's are frozen at the boundary, i.e. xf(x,Q^2) is fixed at 
its value at x_min for all values x < x_min, 
and so on. This is a conservative approach. Alternatively, if you 
switch on extrapolation, then parametrizations will be extended beyond 
the boundaries, by some prescription. In some cases this will provide a 
more realistic answer, in others complete rubbish. Another problem is 
that some of the PDF-set codes will write a warning message anytime the 
limits are exceeded, thus swamping your output file. Therefore you should 
study a set seriously before you run it with this switch on. 
 
 

     
If you want to use PDF's not found in LHAPDF, or you want to interface 
LHAPDF another way, you have full freedom to use the more generic 
interface options. 
 

    Parton densities for protons in the hard process
     
 
The above options provides a PDF set that will be used everywhere: 
for the hard process, the parton showers and the multiparton interactions 
alike. As already mentioned, therefore a change of PDF should be 
accompanied by a complete retuning of the whole MPI framework, 
and maybe more. There are cases where one may want to explore 
different PDF options for the hard process, but would not want to touch 
the rest. If several different sets are to be compared, a simple 
reweighting based on the originally 
used flavour, x, Q^2 and PDF values may offer the 
best route. The options in this section allow a choice of the PDF set 
for the hard process alone, while the choice made in the previous section 
would still be used for everything else. The hardest interaction 
of the minimum-bias process is part of the multiparton-interactions 
framework and so does not count as a hard process here. 
 

     
Of course it is inconsistent to use different PDF's in different parts 
of an event, but if the x and Q^2 ranges mainly accessed 
by the components are rather different then the contradiction would not be 
too glaring. Furthermore, since standard PDF's are one-particle-inclusive 
we anyway have to 'invent' our own PDF modifications to handle configurations 
where more than one parton is kicked out of the proton Sjo04. 
 

     
The PDF choices that can be made are the same as above, so we do not 
repeat the detailed discussion. 
 
 
If on then select a separate PDF set for the hard process, using the 
variables below. If off then use the same PDF set for everything, 
as already chosen above. 
 
 
 
Parton densities to be used for proton beams (and, by implication, 
antiproton ones): 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
If off then the choice of proton PDF is based on hardpPDFset 
above. If on then it is instead based on the choice of 
hardLHAPDFset and hardLHAPDFmember below. 
Note that if you want to use LHAPDF here, and you also use LHAPDF 
for the "normal" PDF set, then LHAPDF must have been compiled so as to 
handle (at least) two concurrent sets, with the configure statement 
--with-max-num-pdfsets=2. 
 
 
 
Name of proton PDF set from LHAPDF to be used. 
 
 
 
Further choice of a specific member from the set picked above. 
 
 

     
Note that there is no separate equivalent of the 
PDF:extrapolateLHAPDF flag specifically for the hard 
PDF. Since LHAPDF only has one global flag for extrapolation or not, 
the choice for the normal PDF's also applies to the hard ones. 
 

    Parton densities for pions
     
 
The parton densities of the pion are considerably less well known than 
those of the proton. There are only rather few sets on the market, 
and none particularly recent. Only one comes built-in, but others can 
be accessed from LHAPDF. Input parametrizations are for the pi+. 
From this the pi- is obtained by charge conjugation and the 
pi0 from averaging (half the pions have d dbar 
valence quark content, half u ubar. 
 

     
Much of the switches are taken over from the proton case, with obvious 
modifications; therefore the description is briefer. Currently we have 
not seen the need to allow separate parton densities for hard processes. 
When using LHAPDF the PDF:extrapolateLHAPDF switch of the 
proton also applies to pions. 
  
 
Internal parton densities that can be used for pion beams, currently with 
only one choice. 
 
 
 
 
If off then the choice of proton PDF is based on PDF:piSet 
above. If on then it is instead based on the choice of 
PDF:piLHAPDFset and PDF:piLHAPDFmember below. 
 
 
 
Name of pion PDF set from LHAPDF to be used. You have to choose from the 
 
list of available sets. 
 
 
 
Further choice of a specific member from the set picked above. 
 
 

    Parton densities for Pomerons
     
 
The Pomeron is introduced in the description of diffractive events, 
i.e. a diffractive system is viewed as a Pomeron-proton collision at a 
reduced CM energy. Here the PDF's are even less well known. 
Most experimental parametrizations are NLO, which makes them less 
well suited for Monte Carlo applications. Furthermore note that 
the momentum sum is arbitrarily normalized to a non-unity value. 
 
 
Parton densities that can be used for Pomeron beams. 
 
 
 
 
 
 
 
 
 
the parameter a in the ansatz xg(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
 
 
 
the parameter b in the ansatz xg(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
 
 
 
the parameter a in the ansatz xq(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
 
 
 
the parameter b in the ansatz xq(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
 
 
 
the fraction of the Pomeron momentum carried by quarks 
for option 1 above, with the rest carried by gluons. 
 
 
 
the suppression of the s quark density relative to that of the 
d and u ones for option 1 above. 
 
 
 
Rescale the four H1 fits above by this uniform factor, e.g. to bring 
up their momentum sum to around unity. By default all three have 
a momentum sum of order 0.5, suggesting that a factor around 2.0 
should be used. You can use examples/main51.cc to get 
a more precise value. Note that also other parameters in the 
diffraction framework may need to 
be retuned when this parameter is changed. 
 
 

    Parton densities for leptons
     
 
For electrons/muons/taus there is no need to choose between different 
parametrizations, since only one implementation is available, and 
should be rather uncontroversial (apart from some technical details). 
However, insofar as e.g. e^+ e^- data often are corrected 
back to a world without any initial-state photon radiation, it is 
useful to have a corresponding option available here. 
 
 
Use parton densities for lepton beams or not. If off the colliding 
leptons carry the full beam energy, if on part of the energy is 
radiated away by initial-state photons. In the latter case the 
initial-state showers will generate the angles and energies of the 
set of photons that go with the collision. In addition one collinear 
photon per beam carries any leftover amount of energy not described 
by shower emissions. If the initial-state showers are switched off 
these collinear photons will carry the full radiated energy. 
 
 

     
Neutrinos are always taken pointlike. Do note that the phase space 
selection machinery currently does not allow one resolved and one 
unresolved beam. For lepton-neutrino collisions to work you must 
therefore set PDF:lepton = off. 
 

    Incoming parton selection
     
 
There is one useful degree of freedom to restrict the set of incoming 
quark flavours for hard processes. It does not change the PDF's as such, 
only which quarks are allowed to contribute to the hard-process cross 
sections. Note that separate but similarly named modes are available 
for multiparton interactions and spacelike showers. 
 
 
Number of allowed incoming quark flavours in the beams; a change 
to 4 would thus exclude b and bbar as incoming 
partons, etc. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/mrstlostarstar.00.dat0000444000175000017500000121232312357055022017644 0ustar  sunsun # Tue Oct 27 14:26:24 2009
 # MSTW 2008 LO PDF grid for central fit.
 # distance(t),tolerance(T) =   0.  0.
 # mCharm = 1.43
 # mBottom = 4.30
 # alphaS(1GeV) = 0.40768
 # alphaS(MZ) = 0.11517
 # alphaSorder,alphaSnfmax = 0, 5
 # nExtraFlavours = 0

          xg          xd          xu          xs          xc          xb         xdv         xuv         xsv
  1.2042E+01  1.3018E+00  1.3129E+00  6.4816E-01  0.0000E+00  0.0000E+00  5.5017E-03  1.6579E-02  0.0000E+00
  1.8147E+01  1.3513E+00  1.3625E+00  7.0214E-01 -2.4286E-17 -2.4286E-17  5.5603E-03  1.6674E-02  0.0000E+00
  2.3965E+01  1.4062E+00  1.4173E+00  7.6048E-01 -1.2924E-16 -1.2924E-16  5.6072E-03  1.6750E-02 -2.2204E-16
  3.5512E+01  1.5303E+00  1.5415E+00  8.9026E-01 -5.5077E-16 -5.5077E-16  5.6849E-03  1.6875E-02 -1.1102E-15
  3.5512E+01  1.5303E+00  1.5415E+00  8.9026E-01  2.9995E-07 -5.5077E-16  5.6849E-03  1.6875E-02 -1.1102E-15
  4.3963E+01  1.6321E+00  1.6433E+00  9.9556E-01  1.1216E-01 -9.9920E-16  5.7339E-03  1.6953E-02 -1.9984E-15
  5.5485E+01  1.7807E+00  1.7920E+00  1.1483E+00  2.7052E-01 -1.8683E-15  5.7925E-03  1.7046E-02 -3.5527E-15
  6.6944E+01  1.9377E+00  1.9490E+00  1.3088E+00  4.3588E-01 -3.0826E-15  5.8440E-03  1.7127E-02 -6.2172E-15
  7.9360E+01  2.1163E+00  2.1276E+00  1.4908E+00  6.2249E-01 -4.7479E-15  5.8942E-03  1.7206E-02 -9.3259E-15
  9.4166E+01  2.3391E+00  2.3504E+00  1.7171E+00  8.5371E-01 -7.1046E-15  5.9482E-03  1.7290E-02 -1.4211E-14
  1.0848E+02  2.5631E+00  2.5745E+00  1.9442E+00  1.0850E+00 -9.5540E-15  5.9955E-03  1.7364E-02 -1.9096E-14
  1.2364E+02  2.8086E+00  2.8200E+00  2.1927E+00  1.3374E+00 -1.2051E-14  6.0417E-03  1.7435E-02 -2.3981E-14
  1.3664E+02  3.0251E+00  3.0365E+00  2.4114E+00  1.5594E+00 -1.4178E-14  6.0785E-03  1.7492E-02 -2.8422E-14
  1.6953E+02  3.5945E+00  3.6060E+00  2.9860E+00  2.1410E+00 -1.9950E-14  6.1630E-03  1.7621E-02 -3.9968E-14
  1.6953E+02  3.5945E+00  3.6060E+00  2.9860E+00  2.1410E+00  9.6515E-08  6.1630E-03  1.7621E-02 -3.9968E-14
  1.9671E+02  4.0968E+00  4.1083E+00  3.4920E+00  2.6522E+00  5.3702E-01  6.2266E-03  1.7717E-02 -5.1514E-14
  2.3345E+02  4.8000E+00  4.8115E+00  4.1997E+00  3.3660E+00  1.2688E+00  6.3040E-03  1.7833E-02 -7.6383E-14
  2.7631E+02  5.6516E+00  5.6631E+00  5.0557E+00  4.2282E+00  2.1492E+00  6.3848E-03  1.7954E-02 -1.1191E-13
  3.1950E+02  6.5393E+00  6.5509E+00  5.9474E+00  5.1254E+00  3.0625E+00  6.4584E-03  1.8063E-02 -1.4744E-13
  3.6740E+02  7.5548E+00  7.5664E+00  6.9668E+00  6.1502E+00  4.1031E+00  6.5329E-03  1.8172E-02 -1.8652E-13
  4.1058E+02  8.4952E+00  8.5068E+00  7.9104E+00  7.0982E+00  5.0640E+00  6.5949E-03  1.8263E-02 -2.2204E-13
  4.6722E+02  9.7614E+00  9.7731E+00  9.1804E+00  8.3734E+00  6.3545E+00  6.6705E-03  1.8372E-02 -2.6290E-13
  5.2139E+02  1.1004E+01  1.1016E+01  1.0426E+01  9.6236E+00  7.6181E+00  6.7376E-03  1.8469E-02 -2.9843E-13
  5.7451E+02  1.2249E+01  1.2261E+01  1.1675E+01  1.0876E+01  8.8826E+00  6.7994E-03  1.8558E-02 -3.3396E-13
  6.4673E+02  1.3982E+01  1.3994E+01  1.3411E+01  1.2618E+01  1.0640E+01  6.8781E-03  1.8671E-02 -3.8014E-13
  7.1974E+02  1.5778E+01  1.5789E+01  1.5210E+01  1.4421E+01  1.2457E+01  6.9525E-03  1.8777E-02 -4.2277E-13
  7.9269E+02  1.7611E+01  1.7623E+01  1.7046E+01  1.6262E+01  1.4310E+01  7.0226E-03  1.8876E-02 -4.6896E-13
  8.7015E+02  1.9598E+01  1.9609E+01  1.9036E+01  1.8256E+01  1.6317E+01  7.0931E-03  1.8975E-02 -5.1159E-13
  9.5039E+02  2.1696E+01  2.1708E+01  2.1138E+01  2.0362E+01  1.8435E+01  7.1624E-03  1.9073E-02 -5.6133E-13
  1.0305E+03  2.3830E+01  2.3842E+01  2.3275E+01  2.2503E+01  2.0587E+01  7.2283E-03  1.9165E-02 -6.1817E-13
  1.1097E+03  2.5976E+01  2.5988E+01  2.5423E+01  2.4655E+01  2.2749E+01  7.2907E-03  1.9252E-02 -6.6791E-13
  1.1930E+03  2.8269E+01  2.8281E+01  2.7718E+01  2.6954E+01  2.5058E+01  7.3537E-03  1.9339E-02 -7.2475E-13
  1.2786E+03  3.0661E+01  3.0673E+01  3.0113E+01  2.9352E+01  2.7467E+01  7.4160E-03  1.9426E-02 -7.8870E-13
  1.3634E+03  3.3066E+01  3.3078E+01  3.2521E+01  3.1763E+01  2.9887E+01  7.4756E-03  1.9507E-02 -8.5265E-13
  1.4467E+03  3.5462E+01  3.5474E+01  3.4919E+01  3.4164E+01  3.2297E+01  7.5323E-03  1.9585E-02 -9.0949E-13
  1.5338E+03  3.8000E+01  3.8012E+01  3.7459E+01  3.6707E+01  3.4849E+01  7.5895E-03  1.9664E-02 -9.8055E-13
  1.6229E+03  4.0628E+01  4.0640E+01  4.0089E+01  3.9340E+01  3.7491E+01  7.6461E-03  1.9741E-02 -1.0658E-12
  1.7107E+03  4.3251E+01  4.3263E+01  4.2714E+01  4.1968E+01  4.0127E+01  7.7004E-03  1.9816E-02 -1.1369E-12
  1.7967E+03  4.5847E+01  4.5859E+01  4.5312E+01  4.4569E+01  4.2736E+01  7.7523E-03  1.9886E-02 -1.2221E-12
  1.8863E+03  4.8583E+01  4.8595E+01  4.8050E+01  4.7309E+01  4.5484E+01  7.8049E-03  1.9957E-02 -1.3074E-12
  1.9775E+03  5.1400E+01  5.1412E+01  5.0869E+01  5.0130E+01  4.8313E+01  7.8572E-03  2.0028E-02 -1.3927E-12
  2.0672E+03  5.4197E+01  5.4209E+01  5.3667E+01  5.2932E+01  5.1122E+01  7.9075E-03  2.0096E-02 -1.4921E-12
  2.1548E+03  5.6955E+01  5.6967E+01  5.6427E+01  5.5694E+01  5.3891E+01  7.9555E-03  2.0161E-02 -1.5916E-12
  2.2458E+03  5.9849E+01  5.9861E+01  5.9323E+01  5.8592E+01  5.6795E+01  8.0043E-03  2.0226E-02 -1.6911E-12
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  1.9284E-14  8.1127E-06  1.1240E-04  7.0530E-06  1.8051E-06 -8.9956E-09  1.0247E-06  1.0533E-04 -1.7991E-08
  1.9284E-14  8.3476E-06  9.1379E-05  7.4983E-06  3.3279E-06 -1.5229E-08  7.8853E-07  8.3846E-05 -3.0459E-08
  1.9284E-14  8.3375E-06  7.6080E-05  7.6351E-06  4.2518E-06 -2.2436E-08  6.1508E-07  6.8398E-05 -4.4872E-08
  1.9284E-14  8.1835E-06  6.3609E-05  7.5963E-06  4.8305E-06 -3.0557E-08  4.7208E-07  5.5953E-05 -6.1114E-08
  1.9284E-14  7.9068E-06  5.2462E-05  7.4153E-06  5.0089E-06 -3.9085E-08  3.4468E-07  4.4971E-05 -7.8170E-08
  1.9284E-14  7.6004E-06  4.4311E-05  7.1715E-06  5.0425E-06 -4.6019E-08  2.5186E-07  3.7050E-05 -9.2038E-08
  1.9284E-14  7.2666E-06  3.7637E-05  6.8813E-06  5.0349E-06 -5.3156E-08  1.7440E-07  3.0651E-05 -1.0631E-07
  1.9284E-14  6.9855E-06  3.3086E-05  6.6248E-06  5.0282E-06 -5.9819E-08  1.1853E-07  2.6343E-05 -1.1964E-07
  1.9284E-14  6.3172E-06  2.4791E-05  6.0070E-06  5.0087E-06 -7.9388E-08  4.5917E-09  1.8638E-05 -1.5878E-07
  1.9284E-14  6.3172E-06  2.4791E-05  6.0070E-06  5.0087E-06 -7.9388E-08  4.5917E-09  1.8638E-05 -1.5878E-07
  1.9284E-14  5.8620E-06  2.0133E-05  5.5232E-06  4.9820E-06  1.0002E-06 -5.3804E-08  1.4412E-05 -1.7767E-07
  1.9284E-14  5.3775E-06  1.5875E-05  4.8843E-06  4.6827E-06  1.7642E-06 -1.5763E-07  1.0692E-05 -2.4217E-07
  1.9284E-14  5.1001E-06  1.2701E-05  3.9412E-06  4.1343E-06  2.1138E-06 -3.3656E-07  8.0585E-06 -3.7865E-07
  1.9284E-14  4.5402E-06  1.0852E-05  2.9749E-06  3.2812E-06  1.9189E-06 -9.2745E-07  6.8902E-06 -9.5250E-07
  1.9284E-14  3.7675E-06  9.7363E-06  2.1243E-06  2.5463E-06  1.6201E-06 -1.4076E-06  6.1542E-06 -1.4293E-06
  1.9284E-14  3.2791E-06  9.0665E-06  1.5838E-06  2.0834E-06  1.2367E-06 -1.5860E-06  5.8304E-06 -1.6032E-06
  1.9284E-14  2.8128E-06  8.4938E-06  1.0704E-06  1.5899E-06  7.9846E-07 -1.6546E-06  5.7387E-06 -1.6710E-06
  1.9284E-14  2.4257E-06  8.0898E-06  6.7493E-07  1.2095E-06  4.5147E-07 -1.7056E-06  5.6877E-06 -1.7220E-06
  1.9284E-14  2.1066E-06  7.7706E-06  3.5576E-07  1.0089E-06  1.8446E-07 -1.7412E-06  5.6521E-06 -1.7575E-06
  1.9284E-14  1.7621E-06  7.4261E-06  1.1238E-08  9.4743E-07 -8.9349E-08 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  1.4753E-06  7.1393E-06 -2.7554E-07  8.8702E-07 -3.1954E-07 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  1.2373E-06  6.9013E-06 -5.1349E-07  8.4298E-07 -5.0901E-07 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  1.0254E-06  6.6894E-06 -7.2541E-07  8.0586E-07 -6.7723E-07 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  8.3987E-07  6.5039E-06 -9.1095E-07  7.6646E-07 -8.2623E-07 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  6.8193E-07  6.3459E-06 -1.0689E-06  7.3732E-07 -9.5197E-07 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  5.4693E-07  6.2109E-06 -1.2039E-06  7.1137E-07 -1.0597E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  4.2340E-07  6.0874E-06 -1.3274E-06  6.8591E-07 -1.1587E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  3.1258E-07  5.9766E-06 -1.4382E-06  6.6750E-07 -1.2464E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  2.1604E-07  5.8801E-06 -1.5348E-06  6.6763E-07 -1.3188E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  1.3190E-07  5.7959E-06 -1.6189E-06  6.6763E-07 -1.3819E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  8.1630E-08  5.7456E-06 -1.6692E-06  6.6763E-07 -1.4196E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  6.4668E-08  5.7287E-06 -1.6862E-06  6.6763E-07 -1.4323E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  4.9634E-08  5.7136E-06 -1.7012E-06  6.6763E-07 -1.4436E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  3.6277E-08  5.7003E-06 -1.7145E-06  6.6763E-07 -1.4536E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  2.3609E-08  5.6876E-06 -1.7272E-06  6.6763E-07 -1.4631E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14  7.1840E-09  5.6712E-06 -1.7436E-06  6.6763E-07 -1.4755E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -3.3875E-09  5.6606E-06 -1.7542E-06  6.6763E-07 -1.4834E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -1.2891E-08  5.6511E-06 -1.7637E-06  6.6763E-07 -1.4905E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -2.1997E-08  5.6420E-06 -1.7728E-06  6.6763E-07 -1.4973E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -3.0541E-08  5.6335E-06 -1.7814E-06  6.6763E-07 -1.5037E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -3.8435E-08  5.6256E-06 -1.7893E-06  6.6763E-07 -1.5097E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -4.9983E-08  5.6140E-06 -1.8008E-06  6.6763E-07 -1.5183E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
  1.9284E-14 -5.6721E-08  5.6073E-06 -1.8075E-06  6.6763E-07 -1.5234E-06 -1.7509E-06  5.6424E-06 -1.7672E-06
pythia8-8.1.86.orig/xmldoc/piK-Estabrooks.dat0000444000175000017500000000740612357055025017165 0ustar  sunsun# Pion-kaon partial-wave data, analysis of Estabrooks et. al.
#  Nucl. Phys. B133 (1978) 490-524
# Notation for column headers is L,2I
# Entries in each column are S_n = (1 - eta^2) and delta_L

set eType   Wcm
set eUnit   GeV
set input   Sn,delta
set dUnit   deg

# Isospin 3/2 elastic
Wcm   0,3        1,3       2,3
0.73  0.0 -10.0  0.0  0.0  0.0  0.0
0.82  0.0 -14.5  0.0  0.0  0.0  0.0
0.90  0.0 -16.5  0.0  0.0  0.0  0.0
0.94  0.0 -17.0  0.0  0.0  0.0  0.0
0.98  0.0 -18.0  0.0  0.0  0.0  0.0
1.02  0.0 -18.5  0.0 -0.8  0.0 -0.7
1.06  0.0 -18.2  0.0 -0.2  0.0 -0.6
1.10  0.0 -21.4  0.0 -0.9  0.0 -1.3
1.14  0.0 -21.1  0.0 -1.1  0.0 -1.2
1.18  0.0 -22.4  0.0 -0.6  0.0 -1.3
1.22  0.0 -23.5  0.0 -0.6  0.0 -1.5
1.26  0.0 -23.9  0.0 -0.6  0.0 -1.3
1.30  0.0 -23.8  0.0 -0.1  0.0 -1.7
1.34  0.0 -26.4  0.0 -0.7  0.0 -2.5
1.38  0.0 -25.0  0.0 -0.3  0.0 -1.5
1.44  0.0 -27.4  0.0 -1.2  0.0 -2.3
1.52  0.0 -26.7  0.0 -2.4  0.0 -1.5
1.60  0.0 -25.6  0.0 -2.1  0.0 -1.4
1.72  0.0 -22.8  0.0 -2.4  0.0 -0.5

# Isospin 1/2 elastic
Wcm    0,1       1,1        2,1       3,1
0.730  0.0 21.0  0.0 6.0    0.0 0.0   0.0 0.0
0.780  0.0 27.2  0.0 10.0   0.0 0.0   0.0 0.0
0.820  0.0 40.7  0.0 14.0   0.0 0.0   0.0 0.0
0.845  0.0 36.8  0.0 23.9   0.0 0.0   0.0 0.0
0.855  0.0 40.4  0.0 28.3   0.0 0.0   0.0 0.0
0.865  0.0 38.0  0.0 39.5   0.0 0.0   0.0 0.0
0.875  0.0 38.1  0.0 49.6   0.0 0.0   0.0 0.0
0.885  0.0 39.1  0.0 70.6   0.0 0.0   0.0 0.0
0.895  0.0 39.6  0.0 96.2   0.0 0.0   0.0 0.0
0.905  0.0 34.7  0.0 108.3  0.0 0.0   0.0 0.0
0.915  0.0 33.5  0.0 122.4  0.0 0.0   0.0 0.0
0.925  0.0 37.2  0.0 134.6  0.0 0.0   0.0 0.0
0.935  0.0 40.9  0.0 140.4  0.0 0.0   0.0 0.0
0.945  0.0 42.8  0.0 147.4  0.0 0.0   0.0 0.0
0.955  0.0 46.9  0.0 150.9  0.0 0.0   0.0 0.0
0.980  0.0 48.4  0.0 157.0  0.0 0.0   0.0 0.0
1.020  0.0 53.9  0.0 162.9  0.0 0.0   0.0 0.0
1.060  0.0 57.8  0.0 165.2  0.0 0.0   0.0 0.0
1.100  0.0 60.2  0.0 167.5  0.0 0.0   0.0 0.0
#1.140  0.0 61.2  0.0 168.5  0.0 0.0   0.0 0.0
#1.180  0.0 66.3  0.0 173.0  0.0 0.0   0.0 0.0
#1.220  0.0 69.3  0.0 170.8  0.0 0.0   0.0 0.0
#1.260  0.0 71.7  0.0 166.7  0.0 0.0   0.0 0.0
#1.300  0.0 79.3  0.0 176.3  0.0 0.0   0.0 0.0

# Inelastic region data. Scattering amplitude:
#  a_J = |a_J| exp(i phi_L)
# and column entries |a_J| and phi_J.

set input mod,phi

# Isospin 1/2 inelastic
Wcm   0,1        1,1        2,1        3,1
1.14  0.87 73.   0.35 169.  0.01 0.    0.00 0.
1.18  0.93 78.   0.21 173.  0.09 5.    0.00 0.
1.22  0.96 81.   0.28 171.  0.04 2.    0.00 0.
1.26  0.98 83.   0.40 157.  0.01 1.    0.00 0.
1.30  1.01 99.   0.13 157.  0.35 14.   0.00 0.
1.34  1.05 104.  0.20 164.  0.40 22.   0.00 0.
1.38  1.06 109.  0.19 154.  0.75 39.   0.00 0.
1.42  1.00 126.  0.20 163.  1.02 74.   0.00 0. 
1.46  0.84 142.  0.21 169.  1.02 115.  0.00 0.
# Solution A
1.50  0.52 146.  0.30 209.  0.71 138.  0.08 8.
1.56  0.40 164.  0.32 222.  0.58 152.  0.12 34.
1.65  0.33 143.  0.22 177.  0.48 135.  0.29 30.
1.75  0.39 131.  0.23 160.  0.44 148.  0.43 70.
1.85  0.48 153.  0.28 189.  0.48 183.  0.43 127.
## Solution B
##1.50  0.63 161.  0.16 103.  0.58 138.  0.09 9.
##1.56  0.56 183.  0.22 114.  0.50 152.  0.11 26.
##1.65  0.27 190.  0.50 111.  0.30 141.  0.28 30.
##1.75  0.14 97.   0.53 144.  0.23 138.  0.43 70.
##1.85  0.36 122.  0.52 187.  0.33 165.  0.43 127.
## Solution C
##1.50  0.64 114.  0.17 75.   0.67 138.  0.09 7.
##1.56  0.59 122.  0.20 83.   0.48 152.  0.12 29.
##1.65  0.55 117.  0.20 98.   0.31 141.  0.28 30.
##1.75  0.56 127.  0.23 119.  0.29 139.  0.41 70.
##1.85  0.61 152.  0.30 115.  0.29 149.  0.43 127.
## Solution D
##1.50  0.45 127.  0.49 58.   0.64 138.  0.08 2.
##1.56  0.24 121.  0.60 70.   0.42 152.  0.11 17.
##1.65  0.23 92.   0.55 99.   0.12 174.  0.31 30.
##1.75  0.38 91.   0.51 132.  0.13 90.   0.42 70.
##1.85  0.58 123.  0.36 159.  0.27 113.  0.42 127.
pythia8-8.1.86.orig/xmldoc/MasterSwitches.xml0000444000175000017500000002066312357055022017322 0ustar  sunsun 
 

    Master Switches
     
 
Sometimes it may be convenient to omit certain aspects of the event 
generation chain. This cannot be motivated in a full-blown production 
run, but can often be convenient for own understanding and for 
debug purposes. The flags on this page allow just that. 
 

     
The event generation is subdivided into three levels: the process 
level, the parton level and the hadron level, and flags are grouped 
accordingly. 
 

    Process Level
     
 
The ProcessLevel class administrates the initial step of 
the event generation, wherein the basic process is selected. Currently 
this is done either using some of the internal processes, or with 
Les Houches Accord input. 
 

     
There could not be a complete event without an initial process, so 
it would not be a normal action to switch off this step. Furthermore, 
without a process set, it is also not possible to carry out the tasks 
on the parton level. It is still possible, however, to hadronize 
a parton-level configuration provided by some external program. 
 
 
If off, do not attempt to carry out any generation at all on the 
process level. For the parton level only final-state radiation 
is possible, using the Pythia::forceTimeShower(...) method. 
Do allow parton configurations stored in the event record to hadronize 
and hadrons to decay, however, as set by the HadronLevel 
switches. Further details are found 
here. 
 
 

     
For ProcessLevel:all = on one part of the event generation 
on this level may be switched off individually: 
 
 
Master switch to allow resonance decays; on/off = true/false. 
Normal hadrons and leptons do not count as resonances, so this is 
aimed specifically towards Z^0, W^+-, t, h^0 and similar 
objects beyond the Standard Model. Do not use this option if you 
may produce coloured resonances and intend to allow hadronization, 
since currently the program would not know how to handle this. 
 
 

     
It is possible to stop the generation immediately after the basic 
process has been selected, see PartonLevel:all below. 
 

    PartonLevel
     
 
The PartonLevel class administrates the middle step of the 
event generation, i.e. the evolution from an input (hard) process from 
ProcessLevel, containing a few partons only, to a complete 
parton-level configuration to be handed on to HadronLevel. 
This step involves the application of initial- and final-state radiation, 
multiparton interactions and the structure of beam remnants. 
 
 
If off then stop the generation after the hard process has been 
generated, but before the parton-level and hadron-level steps. 
The process record is filled, but the event 
one is then not. 
 
 

     
For PartonLevel:all = on some parts of the event generation 
on this level may be switched off individually: 
 
 
Master switch for multiparton interactions; on/off = true/false. 
Further options are found here. 
 
 
 
Master switch for initial-state radiation; on/off = true/false. 
Further options are found here. 
 
 
 
Master switch for final-state radiation; on/off = true/false. 
Further options are found here. 
If you leave this switch on, the following two switches allow 
more detailed control to switch off only parts of the showers. 
 
 
 
Switch for final-state radiation in association with the hard process 
itself; on/off = true/false. In addition PartonLevel:FSR 
must be on for these emissions to occur. 
 
 
 
Master switch for final-state radiation in any resonance decays 
subsequent to the hard process itself; on/off = true/false. In addition 
PartonLevel:FSR must be on for these emissions to occur. 
 
 
 
If on then do resonance decays early, before beam handling including 
colour reconnection. If off then decays are done afterwards, and so 
are unaffected by colour reconnection. The early-decay option is still 
primitive, for some first studies. Eventually the choice should be 
made individually for each resonance based on lifetime (and the 
environment). 
 
 

     
Switching off all the above MPI/ISR/FSR switches is not equivalent 
to setting PartonLevel:all = off. In the former case a 
minimal skeleton of parton-level operations are carried out, such as 
tying together the scattered partons with the beam remnants into colour 
singlets, and storing this information in the event record. 
It is therefore possible to go on and hadronize the event, if desired. 
In the latter case no operations at all are carried out on the 
parton level, and therefore it is also not possible to go on to the 
hadron level. 
 
 
Master switch for addition of beam remnants; on/off = true/false. 
Only intended for very special applications, and cannot be used to 
generate complete events. Specifically, unlike the other switches above, 
the program will complain and possibly crash unlike you also set 
HadronLevel:all = off and Check:event = off. 
 
 

     
It is possible to stop the generation immediately after the parton level 
has been set up, see HadronLevel:all below. 
 

    HadronLevel
     
 
The HadronLevel class administrates the final step of the 
event generation, wherein the partonic configuration from 
PartonLevel is hadronized, including string fragmentation 
and secondary decays. 
 

     
Most of the code in this class itself deals with subdividing the partonic 
content of the event into separate colour singlets, that can be 
treated individually by the string fragmentation machinery. When a 
junction and an antijunction are directly connected, it also breaks 
the string between the two, so that the topology can be reduced back 
to two separate one-junction systems, while still preserving the 
expected particle flow in the junction-junction string region(s). 
 
 
If off then stop the generation after the hard process and 
parton-level activity has been generated, but before the 
hadron-level steps. 
 
 

     
For HadronLevel:all = on some parts of the event generation 
on this level may be switched off individually: 
 
 
Master switch for hadronization; on/off = true/false. 
Further options are found here. 
 
 
 
Master switch for decays; on/off = true/false. 
Further options are found here. 
 
 
 
Master switch for the simulation of Bose-Einstein effects; 
on/off = true/false. Further options are found 
here. 
 
 

    Printing
     
 
 
Can be set on to avoid the printing during program execution, to the 
largest extent possible. This flag acts by setting the relevant values 
for Init:showProcesses, 
Init:showMultipartonInteractions, 
Init:showChangedSettings, 
Init:showAllSettings, 
Init:showChangedParticleData, 
Init:showChangedResonanceData, 
Init:showAllParticleData, 
Init:showOneParticleData, 
Next:numberCount, 
Next:numberShowLHA, 
Next:numberShowInfo, 
Next:numberShowProcess, and 
Next:numberShowEvent. 
The change is to off or 0 for Print:quiet = off, 
and restores to the respective default value for = on. 
Those changes take effect immediately, so individual settings can be 
changed afterwards. 
 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/Welcome.xml0000444000175000017500000000070512357055031015743 0ustar  sunsun 
  
 
 
 
 
 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/TotalCrossSections.xml0000444000175000017500000002210512357055030020152 0ustar  sunsun 
 

    Total Cross Sections
     
 
The SigmaTotal class returns the total, elastic, diffractive 
and nondiffractive cross sections in hadronic collisions, and also the 
slopes of the d(sigma)/dt distributions. Most of the parametrizations 
used are from Sch94, Sch97 which borrows some of the total cross 
sections from Don92. If you use the MBR (Minimum Bias Rockefeller) 
model Cie12, Diffraction:PomFlux = 5, this model 
contains its own parametrizations of all cross sections in p p 
and pbar p collisions. 
 

     
There are strong indications that the currently implemented diffractive 
cross section parametrizations, which should be in reasonable agreement 
with data at lower energies, overestimate the diffractive rate at larger 
values. If you wish to explore this (or other) aspect, it is possible to 
override the cross section values in two different ways. The first offers 
(almost) complete freedom, but needs to be defined separately for each 
CM energy, while the second introduces a simpler parametrized damping. 
The two cannot be combined. Furthermore the Coulomb term for elastic 
scattering, which by default is off, can be switched on. 
 

     
The allowed combinations of incoming particles are p + p, 
pbar + p, pi+ + p, pi- + p, 
pi0/rho0 + p, phi + p, J/psi + p, 
rho + rho, rho + phi, rho + J/psi, 
phi + phi, phi + J/psi, J/psi + J/psi. 
The strong emphasis on vector mesons is related to the description 
of gamma + p and gamma + gamma interactions in a 
Vector Dominance Model framework (which will not be available for some 
time to come, so this is a bit of overkill). Nevertheless, the sections 
below, with allowed variations, are mainly intended to make sense for 
p + p. 
 

    Central diffraction
     
 
Central diffraction (CD), a.k.a. double Pomeron exchange (DPE), was not 
part of the framework in Sch94. It has now been added for 
multiparticle states, i.e. excluding the resonance region below 1 GeV 
mass, as well as other exclusive states, but only for p p or 
pbar p. It uses the same proton-Pomeron vertex as in single 
diffraction, twice, to describe x_Pomeron and t spectra. 
This fixes the energy dependence, which has been integrated and 
parametrized. The absolute normalization has been left open, however. 
Furthermore, since CD has not been included in previous tunes to data, 
a special flag is available to reproduce the old behaviour (with due 
complications when one does not want to do this). 
 
 
The CD cross section for p p and pbar p collisions, 
normalized to its value at 2 TeV CM energy, expressed in mb. The energy 
dependence is then parametrized, and behaves roughly like 
ln^1.5(s). Is used for the options 
Diffraction:PomFlux = 1 - 4, while the MBR model 
(= 5) has its own parametrization. 
 
 
 
several existing tunes do not include CD. 
An inclusion of a nonvanishing CD cross section directly affects 
the nondiffractive phenomenology (even if not dramatically), and so 
this flag is used to switch off the CD cross section in such tunes. 
You can switch it back on after the selection of a tune, if you 
so wish. This option has no effect for the MBR model 
(Diffraction:PomFlux = 5), where the CD cross section 
has been included from the onset. 
 
 

    Set cross sections
     
 
 
Allow a user to set own cross sections by hand; on/off = true/false. 
 
 

     
When SigmaTotal:setOwn = on, the user is expected to set 
values for the corresponding cross sections: 
 
 
Total cross section in mb. 
 
 
 
Elastic cross section in mb. 
 
 
 
Single Diffractive cross section A + B → X + B in mb. 
 
 
 
Single Diffractive cross section A + B → A + X in mb. 
 
 
 
Double Diffractive cross section A + B → X_1 + X_2 in mb. 
 
 
 
Central Diffractive cross section A + B → A + X + B in mb. 
 
 

     
Note that the total cross section subtracted by the elastic and various 
diffractive ones gives the inelastic nondiffractive cross section, 
which therefore is not set separately. If this cross section evaluates 
to be negative the internal parametrizations are used instead of the 
ones here. However, since the nondiffractive inelastic cross section 
is what makes up the minimum-bias event class, and plays a major role 
in the description of multiparton interactions, it is important that a 
consistent set is used. 
 

    Dampen diffractive cross sections
     
 
As already noted, unitarization effects may dampen the rise of diffractive 
cross sections relative to the default parametrizations. The settings 
here allows one way to introduce a dampening, which is used in some 
of the existing tunes. 
 
 
Allow a user to dampen diffractive cross sections; on/off = true/false. 
 
 

     
When SigmaDiffractive:dampen = on, the three diffractive 
cross sections are damped so that they never can exceed the respective 
values below. Specifically, if the standard parametrization gives 
the cross section sigma_old(s) and a fixed sigma_max 
is set, the actual cross section becomes sigma_new(s) 
= sigma_old(s) * sigma_max / (sigma_old(s) + sigma_max). 
This reduces to sigma_old(s) at low energies and to 
sigma_max at high ones. Note that the asymptotic value 
is approached quite slowly, however. 
 
 
The above sigma_max for A + B → X + B in mb. 
 
 
 
The above sigma_max for A + B → A + X in mb. 
 
 
 
The above sigma_max for A + B → X_1 + X_2 in mb. 
 
 
 
The above sigma_max for A + B → A + X + B in mb. 
 
 

     
As above, a reduced diffractive cross section automatically translates 
into an increased nondiffractive one, such that the total (and elastic) 
cross section remains fixed. 
 
  

    Set elastic cross section
     
 

     
In the above option the t slopes are based on the internal 
parametrizations. In addition there is no Coulomb-term contribution 
to the elastic (or total) cross section, which of course becomes 
infinite if this contribution is included. If you have switched on 
SigmaTotal:setOwn you can further switch on a machinery 
to include the Coulomb term, including interference with the conventional 
strong-interaction Pomeron one Ber87. Then the elastic cross 
section is no longer taken from SigmaTotal:sigmaEl but 
derived from the parameters below and SigmaTotal:sigmaTot, 
using the optical theorem. The machinery is only intended to be used for 
p p and pbar p collisions. The description of 
diffractive events, and especially their slopes, remains unchanged. 
 
 
Allow a user to set parameters for the normalization and shape of the 
elastic cross section the by hand; yes/no = true/false. 
 
 
 
the slope b of the strong-interaction term exp(bt), 
in units of GeV^-2. 
 
 
 
the ratio of the real to the imaginary parts of the nuclear scattering 
amplitude. 
 
 
 
the main parameter of the electric form factor 
G(t) = lambda^2 / (lambda + |t|)^2, in units of GeV^2. 
 
 
 
since the Coulomb contribution is infinite a lower limit on 
|t| must be set to regularize the divergence, 
in units of GeV^2. 
 
 
 
The Coulomb term is taken to contain a phase factor 
exp(+- i alpha phi(t)), with + for p p and - for 
pbar p, where phi(t) = - phaseConst - ln(-B t/2). 
This constant is model dependent Cah82. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/Index.xml0000444000175000017500000001341112357055021015414 0ustar  sunsun 
 
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pythia8-8.1.86.orig/xmldoc/FlavourSelection.xml0000444000175000017500000003552012357055017017643 0ustar  sunsun 
 

    Flavour Selection
     
 
The StringFlav class handles the choice of a new flavour 
in the fragmentation process, and the production of a new hadron 
from a set of input flavours. It is mainly used by the string 
fragmentation machinery (including ministrings), but also e.g. 
in some particle decays and for some beam-remnant cases. The basic 
concepts are in agreement with And83. The baryon-sector 
implementation is based on the MSTJ(12)=3 option of 
PYTHIA 6, i.e. new SU(6) weights scheme with at most one popcorn meson. 
 

     
The relative production rates of different particle species is 
influenced by the parameters below. Some have only an impact on 
one specific quantity, but most directly or indirectly have 
consequences for many observables. Therefore the values to use have 
to be viewed in the context of a complete tune. 
 

    New flavours
     
 
The main parameters of the selection of a new flavour are 
 
 
the suppression of s quark production relative to ordinary 
u or d one. 
 
 
 
the suppression of diquark production relative to quark production, 
i.e. of baryon relative to meson production. 
 
 
 
the suppression of strange diquark production relative to light 
diquark production, over and above the one already given by 
probStoU. 
 
  
 
the suppression of spin 1 diquark production relative to spin 0 one, 
apart from the factor of 3 enhancement of spin 1 from counting the 
number of states. 
 


when two already produced quarks are to be combined to a diquark,
e.g. in the junction framework, these numbers give the suppression 
of spin 1 diquark production relative to spin 0 one, apart from the 
factor of 3 enhancement of spin 1 from counting the number of states.
The four components give the suppression when the heaviest quark is
u/d, s, c or b, respectively.
These parameters are seldom used and currently not constrained by any 
data, so very much a guesswork.
 
 

    Standard-meson production
     
 
The bulk of the particle production corresponds to the lowest-lying 
pseudoscalar and vector multiplets. Their production rates are 
determined by the parameters in this section. 
 

     
For a given set of flavours, produced according to the probabilities 
outlined above, the ratio of vector-to-pseudocalar meson production 
is described by the parameters below. 
The maximum allowed rate for each case has been set according to 
spin-counting rules, but we expect the real rates to be lower, 
especially for lighter mesons, owing to the vector-pseudoscalar 
mass splitting. 
 
 
the relative production ratio vector/pseudoscalar for light 
(u, d) mesons. 
 
 
the relative production ratio vector/pseudoscalar for strange mesons. 
 
 
the relative production ratio vector/pseudoscalar for charm mesons. 
 
 
the relative production ratio vector/pseudoscalar for bottom mesons. 
 
 

     
Inside each light-quark meson nonet, an octet-singlet mixing angle 
describes the mixing of the two flavour-diagonal isoscalar = 0 states. 
(For terminology and details see Yao06, chapter 14 on the 
quark model.) 
This angle is needed to specify the probability for such a q qbar 
state to project onto a specific meson. More transparent formulae are 
obtained by introducing the angle alpha = theta + 54.7 degrees: 
 
   f  = (uubar + ddbar)/sqrt(2) * sin(alpha) + ssbar * cos(alpha)
     
   f' = (uubar + ddbar)/sqrt(2) * cos(alpha) - ssbar * sin(alpha) 
     
 
 
gives the mixing angle theta_PS in the pseudoscalar meson sector 
(which is rather poorly determined), expressed in degrees. 
Here f is associated with eta' and f' with 
eta. (This standard but counterintuitive choice is fixed up 
in the code by replacing alpha → 90^0 - alpha so that 
eta ↔ eta'; relative signs do not matter since we are 
interested in probabilities only.) 
 
 
 
gives the mixing angle theta_V in the vector meson sector 
(which is somewhat better determined), expressed in degrees. 
Here f is associated with omega and f' 
with phi. 
 
 

     
Further, the simple model overestimates the production of eta 
and, in particular, eta' mesons, which can be rectified by 
 
 
the additional suppression of eta production, multiplying the 
normal production probability. Thus 0 means no eta at all 
are produced, while 1 means full rate. 
 
 
 
the additional suppression of eta' production, multiplying the 
normal production probability. Thus 0 means no eta' at all 
are produced, while 1 means full rate. 
 
 

    Excited-meson production
     
 
Several excited mesons, ie. with radial or orbital excitations, have been 
observed at non-negligible production rates. Extrapolated to all states 
a fair fraction of all particle production might proceed through such 
states. There are big uncertainties, however, since these excited 
mesons in many cases are extremely poorly known. This also means that 
the modeling of their production and decay is very primitive, and 
even that the inclusion of the production of such states may lead to a 
degraded agreement with data. Currently the default is that all such 
production is switched off. 
 

     
Parameters are provided to switch them on. By demand, this machinery 
has been made more flexible than in the past. Therefore one parameter is 
provided for each combination of heaviest flavour 
(u/d, s, c or b) and 
multiplet produced. In each case the production rate is normalized to 
that of the lowest-lying pseudoscalar of the same flavour content, as for 
the vector-meson rates introduced above. The multiplets available are the 
four obtained for one unit of orbital angular momentum, in the 
nonrelativistic classification. Using J to denote the sum of 
quark spin S and orbital angular momentum L, i.e. what 
would normally be called the spin of the meson, one has: 

       

    • a pseudovector multiplet with L=1, S=0, J=1;
      •  

    • a scalar multiplet with L=1, S=1, J=0;
      •  

    • a pseudovector multiplet with L=1, S=1, J=1;
      •  

    • a tensor multiplet with L=1, S=1, J=2.
      •  

     
 
The maximum allowed rate for each case has been set according to 
spin-counting rules, but we expect the real rates to be significantly 
lower, owing to mass suppression. 
 
 
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for light (u, d) mesons. 
 
 
 
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for light (u, d) mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for light (u, d) mesons. 
 
 
 
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for light (u, d) mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for strange mesons. 
 
 
 
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for strange mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for strange mesons. 
 
 
 
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for strange mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for charm mesons. 
 
 
 
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for charm mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for charm mesons. 
 
 
 
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for charm mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for bottom mesons. 
 
 
 
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for bottom mesons. 
 
 
 
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for bottom mesons. 
 
 
 
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for bottom mesons. 
 
 

     
In addition, an octet-singlet mixing angle is needed for each multiplet, 
as for the pseudoscalar and vector multiplets above. Only for the 
tensor multiplet does any determination exist; for the other multiplets 
default has been chose so that ssbar does not mix with the light 
quarks, and so that the ssbar state is the heavier of the two. 
 
 
gives the mixing angle theta in the (L=1,S=0,J=1) 
pseudovector meson sector, expressed in degrees. 
 
 
 
gives the mixing angle theta in the (L=1,S=1,J=0) 
scalar meson sector, expressed in degrees. 
 
 
 
gives the mixing angle theta in the (L=1,S=1,J=1) 
pseudovector meson sector, expressed in degrees. 
 
 
 
gives the mixing angle theta in the (L=1,S=1,J=2) 
tensor meson sector, expressed in degrees. 
 
 

    Baryon production
     
 
The relative rate of baryon production is mainly given by the quark 
and diquark production parameters above, plus SU(6) Clebsch-Gordans. 
The one modifiable parameter related to these coefficients is 
 
 
the suppression, relative to default SU(6) factors, of decuplet 
baryon production. Default corresponds to no suppression, while 0 
corresponds to no decuplet production at all. 
 
 

     
In addition, if popcorn production is allowed, wherein a set of mesons 
(M) may be produced in between the baryon (B) and 
the antibaryon (Bbar), a set of further parameters is introduced. 
Currently only the simplest scenario is implemented, wherein at most 
one intermediate meson may be produced. 
 
 
gives the relative rates of B Bbar and B M Bbar 
production, roughly as 
 
Prob(B M Bbar) / (Prob(B Bbar) + Prob(B M Bbar)) = 
popcornRate / (0.5 + popcornRate) 
 
(the complete expression depends on all the quark and diquark production 
parameters and is therefore not so useful). 
 
 
 
extra suppression for having an s sbar pair shared between 
the B and Bbar in a B M Bbar configuration. 
 
 
 
extra suppression for having a strange meson M in a 
B M Bbar configuration. 
 
 

     
Finally, there are some indications that leading-baryon production 
may be further suppressed. A proper description should probably be 
based on a suppression of early production times Ede97, 
but we here only implement a simpler version where production near 
the end of a string, as defined by rank, is suppressed. The more 
detailed studies suggest that leading c and b baryon 
production will be less suppressed, so we leave it open to set 
light- and heavy-baryon suppression separately. 
 
 
Suppress leading-baryon production. 
 
 
 
  
 
extra suppression of leading-baryon production for a light-quark 
jet, i.e. d, u or s, when 
suppressLeadingB = on. Thus 0 means no leading-baryon 
production at all, while 1 means full rate. 
 
  
 
extra suppression of leading-baryon production for a heavy-quark 
jet, i.e. c or b, when 
suppressLeadingB = on. Thus 0 means no leading-baryon 
production at all, while 1 means full rate. 
 
   
 
 
 
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 8.319076E-03 7.450545E-03 6.628130E-03 5.855336E-03 5.132375E-03 4.454050E-03
 3.830294E-03 3.255087E-03 2.732179E-03 2.261049E-03 1.840093E-03 1.469467E-03
 1.148596E-03 8.749799E-04 6.459633E-04 4.589103E-04 3.094022E-04 1.931867E-04
 1.056035E-04 4.366789E-05 8.108649E-06 0.000000E+00
 1.805986E-01 1.773227E-01 1.740761E-01 1.708533E-01 1.676583E-01 1.644880E-01
 1.613455E-01 1.582270E-01 1.551325E-01 1.520623E-01 1.490213E-01 1.460058E-01
 1.430148E-01 1.400502E-01 1.371133E-01 1.341983E-01 1.313094E-01 1.284500E-01
 1.256180E-01 1.228127E-01 1.200343E-01 1.172765E-01 1.145430E-01 1.118357E-01
 1.091572E-01 1.065051E-01 1.038774E-01 1.012795E-01 9.871054E-02 9.616428E-02
 9.364146E-02 9.114487E-02 8.867563E-02 8.623023E-02 8.381081E-02 8.142185E-02
 7.905974E-02 7.672831E-02 7.441984E-02 7.214171E-02 6.989230E-02 6.767435E-02
 6.548613E-02 6.332302E-02 6.118909E-02 5.908713E-02 5.701512E-02 5.496901E-02
 5.295349E-02 5.096857E-02 4.901382E-02 4.708388E-02 4.519023E-02 4.332721E-02
 4.149638E-02 3.969715E-02 3.792991E-02 3.619937E-02 3.450445E-02 3.284373E-02
 3.121441E-02 2.961796E-02 2.805479E-02 2.652872E-02 2.503776E-02 2.357922E-02
 2.215861E-02 2.077915E-02 1.943397E-02 1.813045E-02 1.686497E-02 1.564156E-02
 1.445585E-02 1.331347E-02 1.221352E-02 1.115640E-02 1.014541E-02 9.178542E-03
 8.256578E-03 7.381385E-03 6.556766E-03 5.780852E-03 5.055923E-03 4.379493E-03
 3.756386E-03 3.183568E-03 2.663855E-03 2.197309E-03 1.782194E-03 1.418206E-03
 1.103896E-03 8.379315E-04 6.168842E-04 4.372173E-04 2.949703E-04 1.847802E-04
 1.018772E-04 4.267609E-05 7.988291E-06 0.000000E+00
 1.831063E-01 1.797778E-01 1.764789E-01 1.732045E-01 1.699595E-01 1.667446E-01
 1.635570E-01 1.603942E-01 1.572530E-01 1.541355E-01 1.510468E-01 1.479820E-01
 1.449411E-01 1.419314E-01 1.389495E-01 1.359897E-01 1.330543E-01 1.301483E-01
 1.272698E-01 1.244211E-01 1.215991E-01 1.188019E-01 1.160279E-01 1.132761E-01
 1.105546E-01 1.078599E-01 1.051901E-01 1.025497E-01 9.994068E-02 9.735660E-02
 9.479696E-02 9.226451E-02 8.975652E-02 8.727272E-02 8.481692E-02 8.239134E-02
 7.999248E-02 7.762387E-02 7.527813E-02 7.296232E-02 7.067647E-02 6.842293E-02
 6.620058E-02 6.400353E-02 6.183588E-02 5.969974E-02 5.759514E-02 5.551640E-02
 5.346963E-02 5.145590E-02 4.947380E-02 4.752048E-02 4.560181E-02 4.370768E-02
 4.184702E-02 4.001974E-02 3.822458E-02 3.646610E-02 3.474434E-02 3.305958E-02
 3.140813E-02 2.978922E-02 2.820615E-02 2.666093E-02 2.515251E-02 2.367567E-02
 2.223527E-02 2.083931E-02 1.947588E-02 1.815634E-02 1.687718E-02 1.563897E-02
 1.444358E-02 1.328911E-02 1.217954E-02 1.111397E-02 1.009419E-02 9.120708E-03
 8.193593E-03 7.314167E-03 6.484614E-03 5.708682E-03 4.981261E-03 4.304955E-03
 3.684346E-03 3.113867E-03 2.597780E-03 2.134745E-03 1.725827E-03 1.367981E-03
 1.060476E-03 8.018020E-04 5.885502E-04 4.162418E-04 2.809259E-04 1.765863E-04
 9.825897E-05 4.173054E-05 7.873855E-06 0.000000E+00
 2.034582E-01 1.997200E-01 1.960142E-01 1.923334E-01 1.886866E-01 1.850747E-01
 1.814937E-01 1.779395E-01 1.744109E-01 1.709091E-01 1.674367E-01 1.639910E-01
 1.605706E-01 1.571839E-01 1.538299E-01 1.505004E-01 1.472004E-01 1.439312E-01
 1.406928E-01 1.374852E-01 1.343091E-01 1.311616E-01 1.280432E-01 1.249488E-01
 1.218838E-01 1.188490E-01 1.158438E-01 1.128713E-01 1.099322E-01 1.070214E-01
 1.041383E-01 1.012868E-01 9.846547E-02 9.566820E-02 9.290148E-02 9.016985E-02
 8.746921E-02 8.480292E-02 8.216423E-02 7.955900E-02 7.698643E-02 7.445058E-02
 7.194991E-02 6.947844E-02 6.704048E-02 6.463784E-02 6.227059E-02 5.993364E-02
 5.763306E-02 5.537159E-02 5.314655E-02 5.095630E-02 4.880629E-02 4.668738E-02
 4.460157E-02 4.255523E-02 4.054704E-02 3.858158E-02 3.665851E-02 3.477917E-02
 3.293911E-02 3.113866E-02 2.938016E-02 2.766768E-02 2.599840E-02 2.436803E-02
 2.277875E-02 2.124204E-02 1.974602E-02 1.830164E-02 1.690699E-02 1.556178E-02
 1.426690E-02 1.302402E-02 1.183341E-02 1.069579E-02 9.612522E-03 8.584896E-03
 7.613887E-03 6.700129E-03 5.845702E-03 5.053868E-03 4.321347E-03 3.648021E-03
 3.041896E-03 2.493801E-03 2.010215E-03 1.587500E-03 1.226903E-03 9.242966E-04
 6.774641E-04 4.831947E-04 3.363367E-04 2.295383E-04 1.554468E-04 1.040652E-04
 6.625933E-05 3.375487E-05 7.129559E-06 0.000000E+00
 2.184471E-01 2.144068E-01 2.104016E-01 2.064248E-01 2.024799E-01 1.985678E-01
 1.946879E-01 1.908386E-01 1.870170E-01 1.832272E-01 1.794724E-01 1.757506E-01
 1.720557E-01 1.683947E-01 1.647681E-01 1.611682E-01 1.575991E-01 1.540625E-01
 1.505624E-01 1.470958E-01 1.436580E-01 1.402465E-01 1.368662E-01 1.335164E-01
 1.302014E-01 1.269187E-01 1.236662E-01 1.204483E-01 1.172633E-01 1.141100E-01
 1.109855E-01 1.078929E-01 1.048332E-01 1.018026E-01 9.880851E-02 9.585409E-02
 9.293311E-02 9.004917E-02 8.719371E-02 8.437437E-02 8.158952E-02 7.884328E-02
 7.613581E-02 7.345963E-02 7.082035E-02 6.822160E-02 6.566118E-02 6.313275E-02
 6.064224E-02 5.819278E-02 5.577944E-02 5.340356E-02 5.107497E-02 4.878645E-02
 4.654073E-02 4.433586E-02 4.217395E-02 4.006012E-02 3.799058E-02 3.596758E-02
 3.399047E-02 3.205515E-02 3.016483E-02 2.832153E-02 2.652890E-02 2.478285E-02
 2.308823E-02 2.145147E-02 1.986241E-02 1.832912E-02 1.684969E-02 1.542524E-02
 1.405811E-02 1.274709E-02 1.149422E-02 1.030371E-02 9.177679E-03 8.111670E-03
 7.108955E-03 6.171206E-03 5.301975E-03 4.498640E-03 3.766178E-03 3.098644E-03
 2.504641E-03 1.978282E-03 1.521513E-03 1.134841E-03 8.135911E-04 5.570422E-04
 3.607560E-04 2.201465E-04 1.277803E-04 7.534864E-05 5.205349E-05 4.487114E-05
 4.090512E-05 2.847866E-05 7.228384E-06 0.000000E+00
pythia8-8.1.86.orig/xmldoc/ProgramClasses.xml0000444000175000017500000001410712357055026017302 0ustar  sunsun 
 

    Program Classes
     
 
The complete PYTHIA 8 package contains 
a multitude of classes. 
There is no reason to describe all of them, with all of their 
methods, since most should not be touched by a normal user. 
Nevertheless some of the crucial ones are described in detail, 
as a help not only to advanced users but also to developers. 
We here provide a quick reference (still incomplete) which 
classes you can find described where on these pages. Normally 
you have to scroll down to find the details, since the top of 
the page contains information of more general interest. 
 

     

     
 

     
Class 
Reference 
Comment 

     
 

     
BeamShape 
Beam Shape 
vertex and beam momentum spread 

     
 

     
CellJet 
Event Analysis 
jet cone clustering analysis, intended for hadron collider 
topologies 

     
 

     
ClusterJet 
Event Analysis 
jet clustering analysis, intended for e^+e^- 
collider topologies 

     
 

     
CoupSM 
Standard Model Parameters 
couplings and mixing matrices 

     
 

     
CoupSUSY 
SUSY Les Houches Accord 
compute and store SUSY couplings, using input from SusyLesHouches 

     
 

     
DecayChannel 
Particle Data Scheme 
the properties of a single decay channel of  particle species 

     
 

     
Event 
Event Record 
the complete event record 

     
 

     
HepMC::Pythia8ToHepMC 
HepMC Interface 
convert a PYTHIA event record to the HepMC format 

     
 

     
Hist 
Histograms 
a primitive built-in histogramming package 

     
 

     
Info 
Event Information 
various one-of-a-kind information on the current event 

     
 

     
LHAPDFInterface 
Parton Distributions 
use PDF sets from the LHAPDF library 

     
 

     
LHAup 
Les Houches Accord 
base class for Les Houches external hard-event input 

     
 

     
Particle 
Particle Properties 
the properties of a particle in the event record 

     
 

     
ParticleData 
Particle Data Scheme 
the database of particle species properties 

     
 

     
ParticleDataEntry 
Particle Data Scheme 
the properties of a particle species 

     
 

     
PDF 
Parton Distributions 
base class for all PDFs 

     
 

     
Pythia 
Program Flow 
the top-level class, that drives the generation process 

     
 

     
ResonanceWidths 
Semi-Internal Resonances 
base class for all resonance-width treatment 

     
 

     
Rndm 
RandomNumbers 
a primitive built-in histogramming package 

     
 

     
RotBstMatrix 
Four-Vectors 
rotation and boosts of four-vectors 

     
 

     
Settings 
Settings Scheme 
the database that regulates the behaviour of the program 

     
 

     
SigmaProcess 
Semi-Internal Processes 
base class for all hard-process cross sections 

     
 

     
SlowJet 
Event Analysis 
simple jet clustering using the kT, anti-kT or 
Cambridge/Aachen algorithms. 

     
 

     
SpaceShower 
Implement New Showers 
spacelike, i..e. initial-state showers 

     
 

     
Sphericity 
Event Analysis 
sphericity analysis of events 

     
 

     
SusyLesHouches 
SUSY Les Houches Accord 
reading in of SLHA information 

     
 

     
Thrust 
Event Analysis 
thrust analysis of events 

     
 

     
TimeShower 
Implement New Showers 
timelike, i..e. final-state showers 

     
 

     
UserHooks 
User Hooks 
get access to some steps of the generation process 

     
 

     
Vec4 
Four-Vectors 
four-vectors 

     
 

     
 
 
 

     
 

     
 
 
 

     
 

     
 

     
You can also access an extensive list of the public 
methods in these classes, 
which compensates for the brevity of the current page. 
 
 
pythia8-8.1.86.orig/xmldoc/mrstlostar.00.dat0000444000175000017500000120437112357055022016756 0ustar  sunsun # Fri Oct 16 11:59:45 2009
 # MSTW 2008 LO PDF grid for central fit.
 # distance(t),tolerance(T) =   0.  0.
 # mCharm = 1.43
 # mBottom = 4.30
 # alphaS(1GeV) = 0.49337
 # alphaS(MZ) = 0.12032
 # alphaSorder,alphaSnfmax = 0, 5
 # nExtraFlavours = 0
 
          xg          xd          xu          xs          xc          xb         xdv         xuv         xsv
  8.0090E+00  1.3182E+00  1.3280E+00  6.5619E-01  0.0000E+00  0.0000E+00  5.8017E-03  1.5621E-02  0.0000E+00
  1.3658E+01  1.3573E+00  1.3671E+00  7.0073E-01  0.0000E+00  0.0000E+00  5.8891E-03  1.5771E-02  0.0000E+00
  1.9234E+01  1.4059E+00  1.4159E+00  7.5351E-01  0.0000E+00  0.0000E+00  5.9561E-03  1.5886E-02  0.0000E+00
  3.0629E+01  1.5247E+00  1.5347E+00  8.7863E-01  0.0000E+00  0.0000E+00  6.0622E-03  1.6067E-02  0.0000E+00
  3.0629E+01  1.5247E+00  1.5347E+00  8.7863E-01  2.9834E-07  0.0000E+00  6.0622E-03  1.6067E-02  0.0000E+00
  3.9149E+01  1.6266E+00  1.6367E+00  9.8425E-01  1.1276E-01  0.0000E+00  6.1268E-03  1.6176E-02  0.0000E+00
  5.0924E+01  1.7791E+00  1.7892E+00  1.1411E+00  2.7542E-01  0.0000E+00  6.2025E-03  1.6304E-02  0.0000E+00
  6.2763E+01  1.9433E+00  1.9534E+00  1.3088E+00  4.4809E-01  0.0000E+00  6.2677E-03  1.6414E-02  0.0000E+00
  7.5692E+01  2.1324E+00  2.1426E+00  1.5014E+00  6.4529E-01  0.0000E+00  6.3304E-03  1.6519E-02  0.0000E+00
  9.1208E+01  2.3706E+00  2.3809E+00  1.7432E+00  8.9197E-01  0.0000E+00  6.3969E-03  1.6629E-02  0.0000E+00
  1.0628E+02  2.6120E+00  2.6223E+00  1.9876E+00  1.1405E+00  0.0000E+00  6.4548E-03  1.6726E-02  0.0000E+00
  1.2231E+02  2.8780E+00  2.8883E+00  2.2565E+00  1.4134E+00  0.0000E+00  6.5107E-03  1.6818E-02  0.0000E+00
  1.3608E+02  3.1134E+00  3.1237E+00  2.4942E+00  1.6541E+00  0.0000E+00  6.5550E-03  1.6891E-02  0.0000E+00
  1.7103E+02  3.7353E+00  3.7457E+00  3.1211E+00  2.2880E+00  0.0000E+00  6.6557E-03  1.7057E-02  0.0000E+00
  1.7103E+02  3.7353E+00  3.7457E+00  3.1211E+00  2.2880E+00  1.0546E-07  6.6557E-03  1.7057E-02  0.0000E+00
  1.9998E+02  4.2859E+00  4.2963E+00  3.6754E+00  2.8473E+00  5.8758E-01  6.7312E-03  1.7181E-02  0.0000E+00
  2.3918E+02  5.0584E+00  5.0689E+00  4.4523E+00  3.6302E+00  1.3903E+00  6.8229E-03  1.7330E-02  0.0000E+00
  2.8497E+02  5.9952E+00  6.0057E+00  5.3936E+00  4.5776E+00  2.3578E+00  6.9184E-03  1.7486E-02  0.0000E+00
  3.3113E+02  6.9724E+00  6.9830E+00  6.3748E+00  5.5642E+00  3.3624E+00  7.0052E-03  1.7626E-02  0.0000E+00
  3.8234E+02  8.0904E+00  8.1010E+00  7.4967E+00  6.6915E+00  4.5073E+00  7.0929E-03  1.7767E-02  0.0000E+00
  4.2849E+02  9.1253E+00  9.1360E+00  8.5348E+00  7.7340E+00  5.5642E+00  7.1659E-03  1.7884E-02  0.0000E+00
  4.8901E+02  1.0518E+01  1.0529E+01  9.9311E+00  9.1355E+00  6.9830E+00  7.2544E-03  1.8026E-02  0.0000E+00
  5.4684E+02  1.1883E+01  1.1894E+01  1.1299E+01  1.0508E+01  8.3709E+00  7.3330E-03  1.8151E-02  0.0000E+00
  6.0349E+02  1.3250E+01  1.3261E+01  1.2670E+01  1.1883E+01  9.7585E+00  7.4051E-03  1.8265E-02  0.0000E+00
  6.8045E+02  1.5150E+01  1.5161E+01  1.4573E+01  1.3791E+01  1.1684E+01  7.4968E-03  1.8410E-02  0.0000E+00
  7.5814E+02  1.7115E+01  1.7126E+01  1.6542E+01  1.5765E+01  1.3673E+01  7.5831E-03  1.8547E-02  0.0000E+00
  8.3568E+02  1.9118E+01  1.9129E+01  1.8548E+01  1.7776E+01  1.5698E+01  7.6643E-03  1.8674E-02  0.0000E+00
  9.1789E+02  2.1286E+01  2.1297E+01  2.0719E+01  1.9951E+01  1.7888E+01  7.7455E-03  1.8801E-02  0.0000E+00
  1.0029E+03  2.3573E+01  2.3584E+01  2.3009E+01  2.2245E+01  2.0195E+01  7.8252E-03  1.8926E-02  0.0000E+00
  1.0877E+03  2.5894E+01  2.5905E+01  2.5333E+01  2.4573E+01  2.2536E+01  7.9008E-03  1.9043E-02  0.0000E+00
  1.1715E+03  2.8224E+01  2.8235E+01  2.7666E+01  2.6909E+01  2.4884E+01  7.9722E-03  1.9154E-02  0.0000E+00
  1.2594E+03  3.0710E+01  3.0722E+01  3.0155E+01  2.9401E+01  2.7388E+01  8.0441E-03  1.9265E-02  0.0000E+00
  1.3496E+03  3.3301E+01  3.3312E+01  3.2748E+01  3.1998E+01  2.9996E+01  8.1150E-03  1.9375E-02  0.0000E+00
  1.4389E+03  3.5901E+01  3.5912E+01  3.5350E+01  3.4604E+01  3.2612E+01  8.1826E-03  1.9479E-02  0.0000E+00
  1.5266E+03  3.8488E+01  3.8499E+01  3.7939E+01  3.7196E+01  3.5214E+01  8.2467E-03  1.9577E-02  0.0000E+00
  1.6181E+03  4.1224E+01  4.1235E+01  4.0678E+01  3.9937E+01  3.7966E+01  8.3115E-03  1.9677E-02  0.0000E+00
  1.7116E+03  4.4054E+01  4.4065E+01  4.3509E+01  4.2772E+01  4.0810E+01  8.3756E-03  1.9775E-02  0.0000E+00
  1.8036E+03  4.6874E+01  4.6885E+01  4.6332E+01  4.5597E+01  4.3644E+01  8.4368E-03  1.9868E-02  0.0000E+00
  1.8936E+03  4.9662E+01  4.9674E+01  4.9122E+01  4.8390E+01  4.6446E+01  8.4952E-03  1.9957E-02  0.0000E+00
  1.9873E+03  5.2597E+01  5.2608E+01  5.2058E+01  5.1329E+01  4.9394E+01  8.5543E-03  2.0047E-02  0.0000E+00
  2.0827E+03  5.5614E+01  5.5626E+01  5.5078E+01  5.4351E+01  5.2424E+01  8.6129E-03  2.0136E-02  0.0000E+00
  2.1763E+03  5.8607E+01  5.8619E+01  5.8072E+01  5.7348E+01  5.5430E+01  8.6692E-03  2.0221E-02  0.0000E+00
  2.2677E+03  6.1555E+01  6.1567E+01  6.1022E+01  6.0300E+01  5.8389E+01  8.7228E-03  2.0302E-02  0.0000E+00
  2.3625E+03  6.4645E+01  6.4656E+01  6.4113E+01  6.3394E+01  6.1490E+01  8.7773E-03  2.0384E-02  0.0000E+00
  2.4588E+03  6.7810E+01  6.7821E+01  6.7280E+01  6.6563E+01  6.4667E+01  8.8315E-03  2.0465E-02  0.0000E+00
  2.5532E+03  7.0940E+01  7.0951E+01  7.0412E+01  6.9697E+01  6.7808E+01  8.8836E-03  2.0544E-02  0.0000E+00
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  9.9804E-01  3.4153E-01  5.4387E-01  9.7924E-02  5.4424E-02  3.6965E-02  1.9380E-01  4.2645E-01  0.0000E+00
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  5.8184E-01  2.9344E-01  5.2705E-01  5.6397E-02  2.4411E-02  1.4706E-02  1.9729E-01  4.5696E-01  0.0000E+00
  5.6018E-01  2.8976E-01  5.2268E-01  5.5601E-02  2.4273E-02  1.4837E-02  1.9524E-01  4.5359E-01  0.0000E+00
  5.4054E-01  2.8627E-01  5.1848E-01  5.4840E-02  2.4124E-02  1.4935E-02  1.9330E-01  4.5033E-01  0.0000E+00
  5.2276E-01  2.8298E-01  5.1447E-01  5.4117E-02  2.3968E-02  1.5008E-02  1.9146E-01  4.4721E-01  0.0000E+00
  5.0558E-01  2.7967E-01  5.1039E-01  5.3386E-02  2.3798E-02  1.5061E-02  1.8960E-01  4.4402E-01  0.0000E+00
  4.8934E-01  2.7641E-01  5.0633E-01  5.2665E-02  2.3619E-02  1.5096E-02  1.8776E-01  4.4084E-01  0.0000E+00
  4.7447E-01  2.7332E-01  5.0243E-01  5.1977E-02  2.3438E-02  1.5115E-02  1.8601E-01  4.3778E-01  0.0000E+00
  4.6089E-01  2.7039E-01  4.9870E-01  5.1325E-02  2.3259E-02  1.5120E-02  1.8435E-01  4.3485E-01  0.0000E+00
  4.4767E-01  2.6745E-01  4.9492E-01  5.0667E-02  2.3070E-02  1.5113E-02  1.8267E-01  4.3186E-01  0.0000E+00
  4.3507E-01  2.6455E-01  4.9116E-01  5.0017E-02  2.2878E-02  1.5096E-02  1.8100E-01  4.2888E-01  0.0000E+00
  4.2345E-01  2.6178E-01  4.8754E-01  4.9399E-02  2.2688E-02  1.5071E-02  1.7942E-01  4.2601E-01  0.0000E+00
  4.1277E-01  2.5917E-01  4.8410E-01  4.8812E-02  2.2504E-02  1.5039E-02  1.7791E-01  4.2327E-01  0.0000E+00
  4.0230E-01  2.5653E-01  4.8059E-01  4.8220E-02  2.2313E-02  1.4999E-02  1.7639E-01  4.2048E-01  0.0000E+00
  3.9226E-01  2.5393E-01  4.7710E-01  4.7636E-02  2.2120E-02  1.4953E-02  1.7488E-01  4.1770E-01  0.0000E+00
  3.8294E-01  2.5144E-01  4.7376E-01  4.7079E-02  2.1932E-02  1.4903E-02  1.7343E-01  4.1502E-01  0.0000E+00
  3.7433E-01  2.4909E-01  4.7056E-01  4.6550E-02  2.1751E-02  1.4850E-02  1.7206E-01  4.1245E-01  0.0000E+00
  3.6584E-01  2.4671E-01  4.6731E-01  4.6017E-02  2.1565E-02  1.4792E-02  1.7066E-01  4.0984E-01  0.0000E+00
  1.7283E+00  3.7880E-01  6.1066E-01  4.5551E-02  0.0000E+00  0.0000E+00  2.6121E-01  5.4604E-01  0.0000E+00
  1.6528E+00  3.7700E-01  6.1298E-01  4.7712E-02  0.0000E+00  0.0000E+00  2.5948E-01  5.4668E-01  0.0000E+00
  1.5941E+00  3.7523E-01  6.1405E-01  4.9088E-02  0.0000E+00  0.0000E+00  2.5801E-01  5.4673E-01  0.0000E+00
  1.5011E+00  3.7181E-01  6.1461E-01  5.0827E-02  0.0000E+00  0.0000E+00  2.5544E-01  5.4607E-01  0.0000E+00
  1.5011E+00  3.7181E-01  6.1461E-01  5.0827E-02  6.3479E-09  0.0000E+00  2.5544E-01  5.4607E-01  0.0000E+00
  1.4397E+00  3.6942E-01  6.1433E-01  5.1642E-02  2.0723E-03  0.0000E+00  2.5376E-01  5.4526E-01  0.0000E+00
  1.3700E+00  3.6633E-01  6.1345E-01  5.2385E-02  4.1917E-03  0.0000E+00  2.5168E-01  5.4397E-01  0.0000E+00
  1.3118E+00  3.6346E-01  6.1225E-01  5.2861E-02  5.8182E-03  0.0000E+00  2.4980E-01  5.4256E-01  0.0000E+00
  1.2578E+00  3.6054E-01  6.1074E-01  5.3189E-02  7.2187E-03  0.0000E+00  2.4793E-01  5.4098E-01  0.0000E+00
  1.2025E+00  3.5728E-01  6.0880E-01  5.3412E-02  8.5491E-03  0.0000E+00  2.4589E-01  5.3907E-01  0.0000E+00
  1.1562E+00  3.5433E-01  6.0684E-01  5.3513E-02  9.5861E-03  0.0000E+00  2.4406E-01  5.3723E-01  0.0000E+00
  1.1131E+00  3.5140E-01  6.0474E-01  5.3534E-02  1.0490E-02  0.0000E+00  2.4226E-01  5.3530E-01  0.0000E+00
  1.0800E+00  3.4902E-01  6.0292E-01  5.3503E-02  1.1143E-02  0.0000E+00  2.4081E-01  5.3368E-01  0.0000E+00
  1.0081E+00  3.4345E-01  5.9837E-01  5.3292E-02  1.2441E-02  0.0000E+00  2.3744E-01  5.2968E-01  0.0000E+00
  1.0081E+00  3.4345E-01  5.9837E-01  5.3292E-02  1.2441E-02  2.6113E-10  2.3744E-01  5.2968E-01  0.0000E+00
  9.5384E-01  3.3915E-01  5.9461E-01  5.3018E-02  1.3254E-02  1.3036E-03  2.3486E-01  5.2643E-01  0.0000E+00
  8.9231E-01  3.3382E-01  5.8967E-01  5.2571E-02  1.4080E-02  2.6604E-03  2.3168E-01  5.2223E-01  0.0000E+00
  8.3296E-01  3.2817E-01  5.8416E-01  5.1991E-02  1.4776E-02  3.8785E-03  2.2831E-01  5.1759E-01  0.0000E+00
  7.8299E-01  3.2297E-01  5.7887E-01  5.1381E-02  1.5281E-02  4.8330E-03  2.2522E-01  5.1315E-01  0.0000E+00
  7.3608E-01  3.1767E-01  5.7327E-01  5.0698E-02  1.5684E-02  5.6679E-03  2.2207E-01  5.0849E-01  0.0000E+00
  6.9966E-01  3.1325E-01  5.6846E-01  5.0088E-02  1.5947E-02  6.2733E-03  2.1943E-01  5.0449E-01  0.0000E+00
  6.5837E-01  3.0787E-01  5.6245E-01  4.9306E-02  1.6190E-02  6.9125E-03  2.1622E-01  4.9949E-01  0.0000E+00
  6.2430E-01  3.0310E-01  5.5698E-01  4.8581E-02  1.6342E-02  7.4002E-03  2.1338E-01  4.9495E-01  0.0000E+00
  5.9494E-01  2.9873E-01  5.5186E-01  4.7895E-02  1.6437E-02  7.7900E-03  2.1076E-01  4.9070E-01  0.0000E+00
  5.6014E-01  2.9321E-01  5.4524E-01  4.7000E-02  1.6503E-02  8.2137E-03  2.0744E-01  4.8520E-01  0.0000E+00
  5.2973E-01  2.8803E-01  5.3891E-01  4.6140E-02  1.6516E-02  8.5472E-03  2.0431E-01  4.7994E-01  0.0000E+00
  5.0311E-01  2.8321E-01  5.3289E-01  4.5323E-02  1.6491E-02  8.8093E-03  2.0139E-01  4.7493E-01  0.0000E+00
  4.7821E-01  2.7842E-01  5.2681E-01  4.4498E-02  1.6433E-02  9.0276E-03  1.9847E-01  4.6986E-01  0.0000E+00
  4.5535E-01  2.7376E-01  5.2080E-01  4.3685E-02  1.6351E-02  9.2035E-03  1.9563E-01  4.6484E-01  0.0000E+00
  4.3503E-01  2.6939E-01  5.1507E-01  4.2914E-02  1.6251E-02  9.3387E-03  1.9295E-01  4.6005E-01  0.0000E+00
  4.1694E-01  2.6531E-01  5.0964E-01  4.2188E-02  1.6140E-02  9.4413E-03  1.9043E-01  4.5550E-01  0.0000E+00
  3.9975E-01  2.6124E-01  5.0416E-01  4.1459E-02  1.6014E-02  9.5224E-03  1.8792E-01  4.5091E-01  0.0000E+00
  3.8375E-01  2.5727E-01  4.9876E-01  4.0745E-02  1.5877E-02  9.5826E-03  1.8545E-01  4.4636E-01  0.0000E+00
  3.6932E-01  2.5352E-01  4.9360E-01  4.0069E-02  1.5737E-02  9.6234E-03  1.8312E-01  4.4203E-01  0.0000E+00
  3.5633E-01  2.5002E-01  4.8872E-01  3.9433E-02  1.5597E-02  9.6485E-03  1.8093E-01  4.3791E-01  0.0000E+00
  3.4383E-01  2.4651E-01  4.8379E-01  3.8796E-02  1.5448E-02  9.6619E-03  1.7873E-01  4.3375E-01  0.0000E+00
  3.3206E-01  2.4308E-01  4.7892E-01  3.8171E-02  1.5296E-02  9.6641E-03  1.7657E-01  4.2963E-01  0.0000E+00
  3.2134E-01  2.3984E-01  4.7427E-01  3.7580E-02  1.5145E-02  9.6569E-03  1.7452E-01  4.2570E-01  0.0000E+00
  3.1158E-01  2.3679E-01  4.6987E-01  3.7023E-02  1.4998E-02  9.6425E-03  1.7259E-01  4.2196E-01  0.0000E+00
  3.0212E-01  2.3373E-01  4.6541E-01  3.6465E-02  1.4846E-02  9.6207E-03  1.7064E-01  4.1818E-01  0.0000E+00
  2.9313E-01  2.3073E-01  4.6101E-01  3.5917E-02  1.4692E-02  9.5928E-03  1.6873E-01  4.1444E-01  0.0000E+00
  2.8487E-01  2.2788E-01  4.5681E-01  3.5398E-02  1.4543E-02  9.5607E-03  1.6691E-01  4.1086E-01  0.0000E+00
  2.7729E-01  2.2520E-01  4.5281E-01  3.4909E-02  1.4399E-02  9.5254E-03  1.6519E-01  4.0745E-01  0.0000E+00
  2.6989E-01  2.2251E-01  4.4877E-01  3.4418E-02  1.4252E-02  9.4854E-03  1.6345E-01  4.0400E-01  0.0000E+00
  2.6281E-01  2.1986E-01  4.4477E-01  3.3935E-02  1.4104E-02  9.4418E-03  1.6174E-01  4.0059E-01  0.0000E+00
  2.5625E-01  2.1734E-01  4.4095E-01  3.3476E-02  1.3961E-02  9.3966E-03  1.6011E-01  3.9731E-01  0.0000E+00
  2.5021E-01  2.1496E-01  4.3731E-01  3.3043E-02  1.3825E-02  9.3506E-03  1.5857E-01  3.9420E-01  0.0000E+00
  2.4426E-01  2.1256E-01  4.3362E-01  3.2607E-02  1.3685E-02  9.3012E-03  1.5701E-01  3.9104E-01  0.0000E+00
  1.4751E+00  3.7605E-01  6.4110E-01  4.0294E-02  0.0000E+00  0.0000E+00  2.7103E-01  5.8495E-01  0.0000E+00
  1.3882E+00  3.7175E-01  6.3980E-01  4.1621E-02  0.0000E+00  0.0000E+00  2.6783E-01  5.8259E-01  0.0000E+00
  1.3236E+00  3.6816E-01  6.3818E-01  4.2407E-02  0.0000E+00  0.0000E+00  2.6527E-01  5.8037E-01  0.0000E+00
  1.2252E+00  3.6207E-01  6.3460E-01  4.3298E-02  0.0000E+00  0.0000E+00  2.6105E-01  5.7619E-01  0.0000E+00
  1.2252E+00  3.6207E-01  6.3460E-01  4.3298E-02  4.6951E-09  0.0000E+00  2.6105E-01  5.7619E-01  0.0000E+00
  1.1639E+00  3.5816E-01  6.3189E-01  4.3650E-02  1.5252E-03  0.0000E+00  2.5839E-01  5.7330E-01  0.0000E+00
  1.0957E+00  3.5340E-01  6.2826E-01  4.3900E-02  3.0655E-03  0.0000E+00  2.5522E-01  5.6961E-01  0.0000E+00
  1.0400E+00  3.4917E-01  6.2476E-01  4.3993E-02  4.2326E-03  0.0000E+00  2.5243E-01  5.6618E-01  0.0000E+00
  9.8925E-01  3.4503E-01  6.2112E-01  4.3987E-02  5.2259E-03  0.0000E+00  2.4972E-01  5.6270E-01  0.0000E+00
  9.3815E-01  3.4055E-01  6.1698E-01  4.3892E-02  6.1582E-03  0.0000E+00  2.4680E-01  5.5882E-01  0.0000E+00
  8.9598E-01  3.3660E-01  6.1318E-01  4.3743E-02  6.8763E-03  0.0000E+00  2.4425E-01  5.5530E-01  0.0000E+00
  8.5721E-01  3.3275E-01  6.0934E-01  4.3547E-02  7.4951E-03  0.0000E+00  2.4176E-01  5.5178E-01  0.0000E+00
  8.2779E-01  3.2968E-01  6.0618E-01  4.3359E-02  7.9377E-03  0.0000E+00  2.3979E-01  5.4892E-01  0.0000E+00
  7.6485E-01  3.2265E-01  5.9870E-01  4.2839E-02  8.8032E-03  0.0000E+00  2.3527E-01  5.4219E-01  0.0000E+00
  7.6485E-01  3.2265E-01  5.9870E-01  4.2839E-02  8.8032E-03  1.8203E-10  2.3527E-01  5.4219E-01  0.0000E+00
  7.1849E-01  3.1735E-01  5.9285E-01  4.2376E-02  9.3345E-03  9.0524E-04  2.3187E-01  5.3697E-01  0.0000E+00
  6.6668E-01  3.1092E-01  5.8550E-01  4.1742E-02  9.8616E-03  1.8381E-03  2.2774E-01  5.3046E-01  0.0000E+00
  6.1744E-01  3.0423E-01  5.7760E-01  4.1015E-02  1.0292E-02  2.6662E-03  2.2345E-01  5.2349E-01  0.0000E+00
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  5.0941E-01  2.8710E-01  5.5630E-01  3.8916E-02  1.0964E-02  4.2616E-03  2.1241E-01  5.0482E-01  0.0000E+00
  4.7668E-01  2.8108E-01  5.4848E-01  3.8117E-02  1.1082E-02  4.6776E-03  2.0851E-01  4.9799E-01  0.0000E+00
  4.4993E-01  2.7581E-01  5.4149E-01  3.7398E-02  1.1146E-02  4.9912E-03  2.0508E-01  4.9188E-01  0.0000E+00
  4.2707E-01  2.7102E-01  5.3504E-01  3.6731E-02  1.1174E-02  5.2388E-03  2.0196E-01  4.8624E-01  0.0000E+00
  4.0019E-01  2.6502E-01  5.2681E-01  3.5879E-02  1.1174E-02  5.5041E-03  1.9803E-01  4.7905E-01  0.0000E+00
  3.7691E-01  2.5945E-01  5.1904E-01  3.5076E-02  1.1143E-02  5.7092E-03  1.9437E-01  4.7226E-01  0.0000E+00
  3.5669E-01  2.5430E-01  5.1174E-01  3.4324E-02  1.1089E-02  5.8673E-03  1.9097E-01  4.6588E-01  0.0000E+00
  3.3789E-01  2.4923E-01  5.0444E-01  3.3575E-02  1.1016E-02  5.9959E-03  1.8761E-01  4.5949E-01  0.0000E+00
  3.2076E-01  2.4434E-01  4.9730E-01  3.2848E-02  1.0927E-02  6.0965E-03  1.8435E-01  4.5324E-01  0.0000E+00
  3.0561E-01  2.3977E-01  4.9056E-01  3.2165E-02  1.0830E-02  6.1711E-03  1.8130E-01  4.4732E-01  0.0000E+00
  2.9221E-01  2.3553E-01  4.8421E-01  3.1527E-02  1.0729E-02  6.2252E-03  1.7846E-01  4.4175E-01  0.0000E+00
  2.7953E-01  2.3132E-01  4.7786E-01  3.0892E-02  1.0619E-02  6.2650E-03  1.7563E-01  4.3617E-01  0.0000E+00
  2.6778E-01  2.2724E-01  4.7163E-01  3.0276E-02  1.0503E-02  6.2915E-03  1.7287E-01  4.3069E-01  0.0000E+00
  2.5722E-01  2.2342E-01  4.6573E-01  2.9696E-02  1.0388E-02  6.3062E-03  1.7028E-01  4.2550E-01  0.0000E+00
  2.4775E-01  2.1985E-01  4.6017E-01  2.9155E-02  1.0274E-02  6.3114E-03  1.6785E-01  4.2061E-01  0.0000E+00
  2.3868E-01  2.1630E-01  4.5458E-01  2.8615E-02  1.0155E-02  6.3091E-03  1.6543E-01  4.1568E-01  0.0000E+00
  2.3016E-01  2.1283E-01  4.4910E-01  2.8089E-02  1.0035E-02  6.2998E-03  1.6306E-01  4.1084E-01  0.0000E+00
  2.2242E-01  2.0957E-01  4.4389E-01  2.7594E-02  9.9181E-03  6.2852E-03  1.6082E-01  4.0624E-01  0.0000E+00
  2.1540E-01  2.0652E-01  4.3897E-01  2.7130E-02  9.8050E-03  6.2665E-03  1.5872E-01  4.0190E-01  0.0000E+00
  2.0861E-01  2.0347E-01  4.3403E-01  2.6667E-02  9.6890E-03  6.2432E-03  1.5661E-01  3.9752E-01  0.0000E+00
  2.0217E-01  2.0048E-01  4.2915E-01  2.6215E-02  9.5729E-03  6.2162E-03  1.5455E-01  3.9321E-01  0.0000E+00
  1.9627E-01  1.9766E-01  4.2452E-01  2.5788E-02  9.4609E-03  6.1870E-03  1.5259E-01  3.8910E-01  0.0000E+00
  1.9087E-01  1.9501E-01  4.2013E-01  2.5387E-02  9.3535E-03  6.1565E-03  1.5075E-01  3.8521E-01  0.0000E+00
  1.8560E-01  1.9236E-01  4.1571E-01  2.4985E-02  9.2441E-03  6.1229E-03  1.4889E-01  3.8128E-01  0.0000E+00
  1.8057E-01  1.8975E-01  4.1135E-01  2.4592E-02  9.1352E-03  6.0872E-03  1.4707E-01  3.7741E-01  0.0000E+00
  1.7592E-01  1.8728E-01  4.0719E-01  2.4221E-02  9.0306E-03  6.0510E-03  1.4534E-01  3.7371E-01  0.0000E+00
  1.7164E-01  1.8495E-01  4.0325E-01  2.3870E-02  8.9307E-03  6.0148E-03  1.4371E-01  3.7021E-01  0.0000E+00
  1.6743E-01  1.8262E-01  3.9926E-01  2.3519E-02  8.8291E-03  5.9765E-03  1.4206E-01  3.6666E-01  0.0000E+00
  1.2319E+00  3.6722E-01  6.6286E-01  3.5440E-02  0.0000E+00  0.0000E+00  2.7534E-01  6.1297E-01  0.0000E+00
  1.1434E+00  3.6082E-01  6.5797E-01  3.6136E-02  0.0000E+00  0.0000E+00  2.7074E-01  6.0752E-01  0.0000E+00
  1.0794E+00  3.5575E-01  6.5370E-01  3.6488E-02  0.0000E+00  0.0000E+00  2.6716E-01  6.0299E-01  0.0000E+00
  9.8466E-01  3.4750E-01  6.4612E-01  3.6775E-02  0.0000E+00  0.0000E+00  2.6139E-01  5.9530E-01  0.0000E+00
  9.8466E-01  3.4750E-01  6.4612E-01  3.6775E-02  3.4413E-09  0.0000E+00  2.6139E-01  5.9530E-01  0.0000E+00
  9.2760E-01  3.4238E-01  6.4109E-01  3.6808E-02  1.1130E-03  0.0000E+00  2.5785E-01  5.9034E-01  0.0000E+00
  8.6523E-01  3.3633E-01  6.3484E-01  3.6729E-02  2.2247E-03  0.0000E+00  2.5369E-01  5.8429E-01  0.0000E+00
  8.1509E-01  3.3106E-01  6.2918E-01  3.6574E-02  3.0576E-03  0.0000E+00  2.5008E-01  5.7890E-01  0.0000E+00
  7.7000E-01  3.2599E-01  6.2355E-01  3.6359E-02  3.7591E-03  0.0000E+00  2.4662E-01  5.7359E-01  0.0000E+00
  7.2519E-01  3.2060E-01  6.1738E-01  3.6070E-02  4.4106E-03  0.0000E+00  2.4294E-01  5.6783E-01  0.0000E+00
  6.8864E-01  3.1592E-01  6.1187E-01  3.5775E-02  4.9069E-03  0.0000E+00  2.3976E-01  5.6272E-01  0.0000E+00
  6.5537E-01  3.1141E-01  6.0644E-01  3.5457E-02  5.3303E-03  0.0000E+00  2.3669E-01  5.5771E-01  0.0000E+00
  6.3034E-01  3.0784E-01  6.0208E-01  3.5184E-02  5.6303E-03  0.0000E+00  2.3426E-01  5.5370E-01  0.0000E+00
  5.7742E-01  2.9979E-01  5.9196E-01  3.4508E-02  6.2085E-03  0.0000E+00  2.2877E-01  5.4444E-01  0.0000E+00
  5.7742E-01  2.9979E-01  5.9196E-01  3.4508E-02  6.2085E-03  1.2701E-10  2.2877E-01  5.4444E-01  0.0000E+00
  5.3918E-01  2.9382E-01  5.8424E-01  3.3959E-02  6.5564E-03  6.2959E-04  2.2470E-01  5.3742E-01  0.0000E+00
  4.9692E-01  2.8665E-01  5.7474E-01  3.3253E-02  6.8939E-03  1.2729E-03  2.1980E-01  5.2881E-01  0.0000E+00
  4.5724E-01  2.7929E-01  5.6475E-01  3.2483E-02  7.1612E-03  1.8387E-03  2.1476E-01  5.1978E-01  0.0000E+00
  4.2463E-01  2.7271E-01  5.5561E-01  3.1763E-02  7.3408E-03  2.2731E-03  2.1023E-01  5.1153E-01  0.0000E+00
  3.9467E-01  2.6617E-01  5.4634E-01  3.1022E-02  7.4705E-03  2.6455E-03  2.0573E-01  5.0318E-01  0.0000E+00
  3.7185E-01  2.6083E-01  5.3863E-01  3.0400E-02  7.5443E-03  2.9103E-03  2.0203E-01  4.9624E-01  0.0000E+00
  3.4644E-01  2.5445E-01  5.2928E-01  2.9643E-02  7.5984E-03  3.1843E-03  1.9761E-01  4.8783E-01  0.0000E+00
  3.2582E-01  2.4891E-01  5.2102E-01  2.8972E-02  7.6183E-03  3.3886E-03  1.9375E-01  4.8039E-01  0.0000E+00
  3.0833E-01  2.4392E-01  5.1346E-01  2.8359E-02  7.6168E-03  3.5482E-03  1.9026E-01  4.7359E-01  0.0000E+00
  2.8789E-01  2.3769E-01  5.0390E-01  2.7587E-02  7.5913E-03  3.7172E-03  1.8589E-01  4.6500E-01  0.0000E+00
  2.7031E-01  2.3196E-01  4.9497E-01  2.6868E-02  7.5469E-03  3.8457E-03  1.8185E-01  4.5696E-01  0.0000E+00
  2.5514E-01  2.2670E-01  4.8664E-01  2.6203E-02  7.4901E-03  3.9429E-03  1.7813E-01  4.4947E-01  0.0000E+00
  2.4111E-01  2.2154E-01  4.7838E-01  2.5547E-02  7.4209E-03  4.0203E-03  1.7447E-01  4.4203E-01  0.0000E+00
  2.2838E-01  2.1659E-01  4.7036E-01  2.4915E-02  7.3429E-03  4.0790E-03  1.7094E-01  4.3480E-01  0.0000E+00
  2.1718E-01  2.1200E-01  4.6282E-01  2.4326E-02  7.2611E-03  4.1209E-03  1.6766E-01  4.2800E-01  0.0000E+00
  2.0730E-01  2.0775E-01  4.5578E-01  2.3780E-02  7.1781E-03  4.1496E-03  1.6461E-01  4.2165E-01  0.0000E+00
  1.9800E-01  2.0356E-01  4.4876E-01  2.3241E-02  7.0897E-03  4.1689E-03  1.6159E-01  4.1531E-01  0.0000E+00
  1.8940E-01  1.9951E-01  4.4192E-01  2.2720E-02  6.9986E-03  4.1795E-03  1.5866E-01  4.0913E-01  0.0000E+00
  1.8170E-01  1.9572E-01  4.3547E-01  2.2233E-02  6.9089E-03  4.1828E-03  1.5592E-01  4.0330E-01  0.0000E+00
  1.7481E-01  1.9220E-01  4.2941E-01  2.1780E-02  6.8216E-03  4.1803E-03  1.5336E-01  3.9783E-01  0.0000E+00
  1.6823E-01  1.8871E-01  4.2336E-01  2.1330E-02  6.7316E-03  4.1728E-03  1.5082E-01  3.9236E-01  0.0000E+00
  1.6206E-01  1.8533E-01  4.1744E-01  2.0895E-02  6.6411E-03  4.1610E-03  1.4834E-01  3.8699E-01  0.0000E+00
  1.5647E-01  1.8214E-01  4.1184E-01  2.0486E-02  6.5536E-03  4.1460E-03  1.4601E-01  3.8192E-01  0.0000E+00
  1.5141E-01  1.7917E-01  4.0657E-01  2.0105E-02  6.4697E-03  4.1288E-03  1.4383E-01  3.7715E-01  0.0000E+00
  1.4652E-01  1.7621E-01  4.0129E-01  1.9725E-02  6.3841E-03  4.1086E-03  1.4164E-01  3.7236E-01  0.0000E+00
  1.4189E-01  1.7332E-01  3.9611E-01  1.9356E-02  6.2989E-03  4.0861E-03  1.3951E-01  3.6765E-01  0.0000E+00
  1.3765E-01  1.7060E-01  3.9119E-01  1.9008E-02  6.2171E-03  4.0625E-03  1.3750E-01  3.6319E-01  0.0000E+00
  1.3377E-01  1.6805E-01  3.8655E-01  1.8683E-02  6.1391E-03  4.0383E-03  1.3561E-01  3.5897E-01  0.0000E+00
  1.3000E-01  1.6550E-01  3.8189E-01  1.8358E-02  6.0600E-03  4.0122E-03  1.3371E-01  3.5473E-01  0.0000E+00
  1.2640E-01  1.6301E-01  3.7730E-01  1.8041E-02  5.9814E-03  3.9848E-03  1.3185E-01  3.5056E-01  0.0000E+00
  1.2307E-01  1.6065E-01  3.7294E-01  1.7741E-02  5.9062E-03  3.9574E-03  1.3009E-01  3.4660E-01  0.0000E+00
  1.2001E-01  1.5843E-01  3.6881E-01  1.7460E-02  5.8347E-03  3.9302E-03  1.2843E-01  3.4284E-01  0.0000E+00
  1.1701E-01  1.5620E-01  3.6466E-01  1.7179E-02  5.7622E-03  3.9016E-03  1.2676E-01  3.3906E-01  0.0000E+00
  1.0089E+00  3.5339E-01  6.7606E-01  3.0980E-02  0.0000E+00  0.0000E+00  2.7472E-01  6.3081E-01  0.0000E+00
  9.2518E-01  3.4533E-01  6.6770E-01  3.1212E-02  0.0000E+00  0.0000E+00  2.6885E-01  6.2231E-01  0.0000E+00
  8.6585E-01  3.3910E-01  6.6090E-01  3.1256E-02  0.0000E+00  0.0000E+00  2.6434E-01  6.1554E-01  0.0000E+00
  7.7980E-01  3.2921E-01  6.4955E-01  3.1128E-02  0.0000E+00  0.0000E+00  2.5722E-01  6.0446E-01  0.0000E+00
  7.7980E-01  3.2921E-01  6.4955E-01  3.1128E-02  2.4983E-09  0.0000E+00  2.5722E-01  6.0446E-01  0.0000E+00
  7.2930E-01  3.2319E-01  6.4235E-01  3.0950E-02  8.0497E-04  0.0000E+00  2.5291E-01  5.9753E-01  0.0000E+00
  6.7484E-01  3.1618E-01  6.3368E-01  3.0661E-02  1.6011E-03  0.0000E+00  2.4789E-01  5.8927E-01  0.0000E+00
  6.3161E-01  3.1017E-01  6.2604E-01  3.0354E-02  2.1917E-03  0.0000E+00  2.4359E-01  5.8205E-01  0.0000E+00
  5.9316E-01  3.0445E-01  6.1859E-01  3.0016E-02  2.6846E-03  0.0000E+00  2.3950E-01  5.7505E-01  0.0000E+00
  5.5534E-01  2.9843E-01  6.1058E-01  2.9620E-02  3.1379E-03  0.0000E+00  2.3519E-01  5.6756E-01  0.0000E+00
  5.2479E-01  2.9325E-01  6.0355E-01  2.9248E-02  3.4801E-03  0.0000E+00  2.3149E-01  5.6100E-01  0.0000E+00
  4.9721E-01  2.8830E-01  5.9671E-01  2.8871E-02  3.7692E-03  0.0000E+00  2.2794E-01  5.5465E-01  0.0000E+00
  4.7660E-01  2.8442E-01  5.9126E-01  2.8560E-02  3.9723E-03  0.0000E+00  2.2515E-01  5.4960E-01  0.0000E+00
  4.3345E-01  2.7572E-01  5.7882E-01  2.7824E-02  4.3587E-03  0.0000E+00  2.1890E-01  5.3811E-01  0.0000E+00
  4.3345E-01  2.7572E-01  5.7882E-01  2.7824E-02  4.3587E-03  8.8560E-11  2.1890E-01  5.3811E-01  0.0000E+00
  4.0275E-01  2.6933E-01  5.6948E-01  2.7252E-02  4.5869E-03  4.3784E-04  2.1429E-01  5.2950E-01  0.0000E+00
  3.6914E-01  2.6174E-01  5.5814E-01  2.6540E-02  4.8036E-03  8.8214E-04  2.0881E-01  5.1907E-01  0.0000E+00
  3.3790E-01  2.5401E-01  5.4637E-01  2.5788E-02  4.9700E-03  1.2698E-03  2.0321E-01  5.0826E-01  0.0000E+00
  3.1245E-01  2.4717E-01  5.3573E-01  2.5101E-02  5.0772E-03  1.5652E-03  1.9822E-01  4.9850E-01  0.0000E+00
  2.8926E-01  2.4041E-01  5.2505E-01  2.4407E-02  5.1499E-03  1.8165E-03  1.9329E-01  4.8871E-01  0.0000E+00
  2.7172E-01  2.3493E-01  5.1624E-01  2.3834E-02  5.1871E-03  1.9939E-03  1.8927E-01  4.8065E-01  0.0000E+00
  2.5231E-01  2.2843E-01  5.0565E-01  2.3145E-02  5.2084E-03  2.1760E-03  1.8449E-01  4.7095E-01  0.0000E+00
  2.3667E-01  2.2282E-01  4.9636E-01  2.2543E-02  5.2086E-03  2.3106E-03  1.8035E-01  4.6245E-01  0.0000E+00
  2.2346E-01  2.1778E-01  4.8792E-01  2.1998E-02  5.1957E-03  2.4148E-03  1.7662E-01  4.5472E-01  0.0000E+00
  2.0811E-01  2.1154E-01  4.7733E-01  2.1317E-02  5.1639E-03  2.5240E-03  1.7198E-01  4.4502E-01  0.0000E+00
  1.9498E-01  2.0583E-01  4.6750E-01  2.0691E-02  5.1208E-03  2.6058E-03  1.6772E-01  4.3601E-01  0.0000E+00
  1.8370E-01  2.0061E-01  4.5840E-01  2.0115E-02  5.0708E-03  2.6667E-03  1.6381E-01  4.2768E-01  0.0000E+00
  1.7331E-01  1.9551E-01  4.4942E-01  1.9553E-02  5.0129E-03  2.7141E-03  1.5998E-01  4.1944E-01  0.0000E+00
  1.6393E-01  1.9065E-01  4.4075E-01  1.9014E-02  4.9500E-03  2.7491E-03  1.5631E-01  4.1149E-01  0.0000E+00
  1.5569E-01  1.8615E-01  4.3264E-01  1.8515E-02  4.8856E-03  2.7730E-03  1.5291E-01  4.0406E-01  0.0000E+00
  1.4845E-01  1.8201E-01  4.2511E-01  1.8056E-02  4.8213E-03  2.7884E-03  1.4976E-01  3.9714E-01  0.0000E+00
  1.4164E-01  1.7794E-01  4.1763E-01  1.7604E-02  4.7538E-03  2.7974E-03  1.4666E-01  3.9027E-01  0.0000E+00
  1.3537E-01  1.7402E-01  4.1037E-01  1.7169E-02  4.6851E-03  2.8008E-03  1.4367E-01  3.8360E-01  0.0000E+00
  1.2976E-01  1.7037E-01  4.0355E-01  1.6765E-02  4.6181E-03  2.7996E-03  1.4087E-01  3.7734E-01  0.0000E+00
  1.2475E-01  1.6698E-01  3.9718E-01  1.6390E-02  4.5533E-03  2.7947E-03  1.3827E-01  3.7148E-01  0.0000E+00
  1.1997E-01  1.6363E-01  3.9083E-01  1.6020E-02  4.4870E-03  2.7865E-03  1.3570E-01  3.6564E-01  0.0000E+00
  1.1550E-01  1.6039E-01  3.8464E-01  1.5662E-02  4.4207E-03  2.7756E-03  1.3320E-01  3.5994E-01  0.0000E+00
  1.1145E-01  1.5736E-01  3.7880E-01  1.5328E-02  4.3570E-03  2.7628E-03  1.3085E-01  3.5457E-01  0.0000E+00
  1.0779E-01  1.5453E-01  3.7333E-01  1.5017E-02  4.2962E-03  2.7486E-03  1.2866E-01  3.4953E-01  0.0000E+00
  1.0425E-01  1.5172E-01  3.6786E-01  1.4708E-02  4.2344E-03  2.7325E-03  1.2648E-01  3.4449E-01  0.0000E+00
  1.0091E-01  1.4899E-01  3.6250E-01  1.4408E-02  4.1731E-03  2.7150E-03  1.2435E-01  3.3955E-01  0.0000E+00
  9.7850E-02  1.4642E-01  3.5744E-01  1.4127E-02  4.1145E-03  2.6970E-03  1.2234E-01  3.3488E-01  0.0000E+00
  9.5057E-02  1.4402E-01  3.5267E-01  1.3865E-02  4.0588E-03  2.6787E-03  1.2047E-01  3.3049E-01  0.0000E+00
  9.2336E-02  1.4162E-01  3.4789E-01  1.3603E-02  4.0024E-03  2.6591E-03  1.1859E-01  3.2608E-01  0.0000E+00
  8.9740E-02  1.3928E-01  3.4320E-01  1.3349E-02  3.9466E-03  2.6388E-03  1.1675E-01  3.2175E-01  0.0000E+00
  8.7346E-02  1.3707E-01  3.3875E-01  1.3109E-02  3.8933E-03  2.6186E-03  1.1501E-01  3.1764E-01  0.0000E+00
  8.5144E-02  1.3499E-01  3.3456E-01  1.2884E-02  3.8427E-03  2.5986E-03  1.1338E-01  3.1377E-01  0.0000E+00
  8.2983E-02  1.3292E-01  3.3034E-01  1.2660E-02  3.7916E-03  2.5778E-03  1.1174E-01  3.0987E-01  0.0000E+00
  8.1154E-01  3.3569E-01  6.8094E-01  2.6905E-02  0.0000E+00  0.0000E+00  2.6977E-01  6.3924E-01  0.0000E+00
  7.3626E-01  3.2638E-01  6.6933E-01  2.6811E-02  0.0000E+00  0.0000E+00  2.6280E-01  6.2785E-01  0.0000E+00
  6.8380E-01  3.1931E-01  6.6019E-01  2.6644E-02  0.0000E+00  0.0000E+00  2.5751E-01  6.1898E-01  0.0000E+00
  6.0896E-01  3.0824E-01  6.4536E-01  2.6245E-02  0.0000E+00  0.0000E+00  2.4925E-01  6.0474E-01  0.0000E+00
  6.0896E-01  3.0824E-01  6.4536E-01  2.6245E-02  1.7958E-09  0.0000E+00  2.4925E-01  6.0474E-01  0.0000E+00
  5.6594E-01  3.0161E-01  6.3620E-01  2.5937E-02  5.7669E-04  0.0000E+00  2.4430E-01  5.9602E-01  0.0000E+00
  5.2005E-01  2.9396E-01  6.2536E-01  2.5524E-02  1.1421E-03  0.0000E+00  2.3859E-01  5.8575E-01  0.0000E+00
  4.8402E-01  2.8746E-01  6.1595E-01  2.5133E-02  1.5580E-03  0.0000E+00  2.3374E-01  5.7688E-01  0.0000E+00
  4.5226E-01  2.8133E-01  6.0689E-01  2.4732E-02  1.9022E-03  0.0000E+00  2.2915E-01  5.6837E-01  0.0000E+00
  4.2130E-01  2.7492E-01  5.9727E-01  2.4286E-02  2.2162E-03  0.0000E+00  2.2436E-01  5.5935E-01  0.0000E+00
  3.9649E-01  2.6945E-01  5.8891E-01  2.3885E-02  2.4511E-03  0.0000E+00  2.2025E-01  5.5153E-01  0.0000E+00
  3.7425E-01  2.6425E-01  5.8085E-01  2.3488E-02  2.6481E-03  0.0000E+00  2.1635E-01  5.4401E-01  0.0000E+00
  3.5774E-01  2.6019E-01  5.7447E-01  2.3169E-02  2.7853E-03  0.0000E+00  2.1329E-01  5.3807E-01  0.0000E+00
  3.2344E-01  2.5117E-01  5.6006E-01  2.2433E-02  3.0435E-03  0.0000E+00  2.0648E-01  5.2466E-01  0.0000E+00
  3.2344E-01  2.5117E-01  5.6006E-01  2.2433E-02  3.0435E-03  6.1647E-11  2.0648E-01  5.2466E-01  0.0000E+00
  2.9933E-01  2.4459E-01  5.4936E-01  2.1876E-02  3.1933E-03  3.0412E-04  2.0150E-01  5.1471E-01  0.0000E+00
  2.7315E-01  2.3683E-01  5.3650E-01  2.1199E-02  3.3328E-03  6.1099E-04  1.9561E-01  5.0278E-01  0.0000E+00
  2.4902E-01  2.2899E-01  5.2327E-01  2.0497E-02  3.4368E-03  8.7709E-04  1.8963E-01  4.9051E-01  0.0000E+00
  2.2951E-01  2.2209E-01  5.1142E-01  1.9866E-02  3.5009E-03  1.0786E-03  1.8435E-01  4.7953E-01  0.0000E+00
  2.1186E-01  2.1532E-01  4.9962E-01  1.9238E-02  3.5413E-03  1.2489E-03  1.7916E-01  4.6860E-01  0.0000E+00
  1.9858E-01  2.0986E-01  4.8996E-01  1.8725E-02  3.5592E-03  1.3685E-03  1.7495E-01  4.5965E-01  0.0000E+00
  1.8396E-01  2.0342E-01  4.7842E-01  1.8115E-02  3.5648E-03  1.4904E-03  1.6997E-01  4.4896E-01  0.0000E+00
  1.7224E-01  1.9788E-01  4.6836E-01  1.7587E-02  3.5573E-03  1.5799E-03  1.6568E-01  4.3964E-01  0.0000E+00
  1.6238E-01  1.9293E-01  4.5927E-01  1.7112E-02  3.5418E-03  1.6488E-03  1.6183E-01  4.3123E-01  0.0000E+00
  1.5098E-01  1.8683E-01  4.4793E-01  1.6525E-02  3.5122E-03  1.7201E-03  1.5706E-01  4.2072E-01  0.0000E+00
  1.4126E-01  1.8127E-01  4.3746E-01  1.5988E-02  3.4757E-03  1.7730E-03  1.5271E-01  4.1102E-01  0.0000E+00
  1.3293E-01  1.7622E-01  4.2782E-01  1.5498E-02  3.4354E-03  1.8118E-03  1.4873E-01  4.0208E-01  0.0000E+00
  1.2529E-01  1.7130E-01  4.1836E-01  1.5022E-02  3.3901E-03  1.8414E-03  1.4485E-01  3.9331E-01  0.0000E+00
  1.1840E-01  1.6663E-01  4.0926E-01  1.4569E-02  3.3419E-03  1.8627E-03  1.4115E-01  3.8487E-01  0.0000E+00
  1.1237E-01  1.6232E-01  4.0080E-01  1.4152E-02  3.2933E-03  1.8766E-03  1.3774E-01  3.7702E-01  0.0000E+00
  1.0708E-01  1.5837E-01  3.9296E-01  1.3769E-02  3.2454E-03  1.8849E-03  1.3459E-01  3.6974E-01  0.0000E+00
  1.0211E-01  1.5449E-01  3.8521E-01  1.3394E-02  3.1955E-03  1.8889E-03  1.3150E-01  3.6255E-01  0.0000E+00
  9.7537E-02  1.5077E-01  3.7772E-01  1.3034E-02  3.1452E-03  1.8892E-03  1.2852E-01  3.5559E-01  0.0000E+00
  9.3455E-02  1.4732E-01  3.7071E-01  1.2701E-02  3.0963E-03  1.8865E-03  1.2575E-01  3.4907E-01  0.0000E+00
  8.9812E-02  1.4413E-01  3.6417E-01  1.2394E-02  3.0494E-03  1.8815E-03  1.2319E-01  3.4300E-01  0.0000E+00
  8.6336E-02  1.4098E-01  3.5768E-01  1.2091E-02  3.0015E-03  1.8743E-03  1.2065E-01  3.3696E-01  0.0000E+00
  8.3089E-02  1.3794E-01  3.5138E-01  1.1800E-02  2.9540E-03  1.8652E-03  1.1820E-01  3.3110E-01  0.0000E+00
  8.0149E-02  1.3510E-01  3.4545E-01  1.1528E-02  2.9084E-03  1.8551E-03  1.1590E-01  3.2558E-01  0.0000E+00
  7.7491E-02  1.3246E-01  3.3990E-01  1.1276E-02  2.8650E-03  1.8441E-03  1.1376E-01  3.2042E-01  0.0000E+00
  7.4925E-02  1.2984E-01  3.3437E-01  1.1026E-02  2.8210E-03  1.8319E-03  1.1163E-01  3.1526E-01  0.0000E+00
  7.2500E-02  1.2730E-01  3.2897E-01  1.0784E-02  2.7776E-03  1.8187E-03  1.0956E-01  3.1024E-01  0.0000E+00
  7.0281E-02  1.2491E-01  3.2387E-01  1.0558E-02  2.7361E-03  1.8053E-03  1.0762E-01  3.0549E-01  0.0000E+00
  6.8255E-02  1.2269E-01  3.1909E-01  1.0347E-02  2.6968E-03  1.7918E-03  1.0580E-01  3.0103E-01  0.0000E+00
  6.6282E-02  1.2047E-01  3.1431E-01  1.0138E-02  2.6571E-03  1.7775E-03  1.0399E-01  2.9657E-01  0.0000E+00
  6.4399E-02  1.1831E-01  3.0962E-01  9.9342E-03  2.6179E-03  1.7627E-03  1.0222E-01  2.9220E-01  0.0000E+00
  6.2662E-02  1.1627E-01  3.0519E-01  9.7429E-03  2.5805E-03  1.7480E-03  1.0055E-01  2.8807E-01  0.0000E+00
  6.1065E-02  1.1437E-01  3.0101E-01  9.5640E-03  2.5451E-03  1.7336E-03  9.8986E-02  2.8418E-01  0.0000E+00
  5.9497E-02  1.1246E-01  2.9683E-01  9.3856E-03  2.5093E-03  1.7186E-03  9.7419E-02  2.8027E-01  0.0000E+00
  6.4154E-01  3.1515E-01  6.7795E-01  2.3205E-02  0.0000E+00  0.0000E+00  2.6114E-01  6.3914E-01  0.0000E+00
  5.7655E-01  3.0498E-01  6.6338E-01  2.2893E-02  0.0000E+00  0.0000E+00  2.5327E-01  6.2509E-01  0.0000E+00
  5.3188E-01  2.9735E-01  6.5212E-01  2.2592E-02  0.0000E+00  0.0000E+00  2.4735E-01  6.1432E-01  0.0000E+00
  4.6903E-01  2.8553E-01  6.3420E-01  2.2030E-02  0.0000E+00  0.0000E+00  2.3820E-01  5.9726E-01  0.0000E+00
  4.6903E-01  2.8553E-01  6.3420E-01  2.2030E-02  1.2776E-09  0.0000E+00  2.3820E-01  5.9726E-01  0.0000E+00
  4.3352E-01  2.7853E-01  6.2331E-01  2.1649E-02  4.0909E-04  0.0000E+00  2.3276E-01  5.8693E-01  0.0000E+00
  3.9601E-01  2.7050E-01  6.1057E-01  2.1174E-02  8.0723E-04  0.0000E+00  2.2653E-01  5.7490E-01  0.0000E+00
  3.6682E-01  2.6375E-01  5.9964E-01  2.0746E-02  1.0978E-03  0.0000E+00  2.2127E-01  5.6460E-01  0.0000E+00
  3.4130E-01  2.5741E-01  5.8921E-01  2.0324E-02  1.3367E-03  0.0000E+00  2.1632E-01  5.5479E-01  0.0000E+00
  3.1661E-01  2.5083E-01  5.7822E-01  1.9868E-02  1.5531E-03  0.0000E+00  2.1118E-01  5.4448E-01  0.0000E+00
  2.9697E-01  2.4523E-01  5.6874E-01  1.9466E-02  1.7138E-03  0.0000E+00  2.0680E-01  5.3559E-01  0.0000E+00
  2.7947E-01  2.3995E-01  5.5967E-01  1.9077E-02  1.8476E-03  0.0000E+00  2.0265E-01  5.2709E-01  0.0000E+00
  2.6654E-01  2.3583E-01  5.5253E-01  1.8768E-02  1.9402E-03  0.0000E+00  1.9942E-01  5.2041E-01  0.0000E+00
  2.3987E-01  2.2674E-01  5.3652E-01  1.8068E-02  2.1127E-03  0.0000E+00  1.9225E-01  5.0544E-01  0.0000E+00
  2.3987E-01  2.2674E-01  5.3652E-01  1.8068E-02  2.1127E-03  4.2823E-11  1.9225E-01  5.0544E-01  0.0000E+00
  2.2131E-01  2.2016E-01  5.2473E-01  1.7548E-02  2.2113E-03  2.1090E-04  1.8705E-01  4.9442E-01  0.0000E+00
  2.0130E-01  2.1244E-01  5.1066E-01  1.6926E-02  2.3015E-03  4.2278E-04  1.8092E-01  4.8129E-01  0.0000E+00
  1.8298E-01  2.0469E-01  4.9632E-01  1.6291E-02  2.3669E-03  6.0562E-04  1.7474E-01  4.6789E-01  0.0000E+00
  1.6826E-01  1.9790E-01  4.8355E-01  1.5727E-02  2.4055E-03  7.4342E-04  1.6932E-01  4.5598E-01  0.0000E+00
  1.5501E-01  1.9128E-01  4.7093E-01  1.5172E-02  2.4279E-03  8.5939E-04  1.6401E-01  4.4420E-01  0.0000E+00
  1.4509E-01  1.8596E-01  4.6065E-01  1.4723E-02  2.4359E-03  9.4041E-04  1.5973E-01  4.3461E-01  0.0000E+00
  1.3421E-01  1.7971E-01  4.4843E-01  1.4193E-02  2.4349E-03  1.0227E-03  1.5469E-01  4.2321E-01  0.0000E+00
  1.2553E-01  1.7437E-01  4.3785E-01  1.3737E-02  2.4257E-03  1.0827E-03  1.5036E-01  4.1333E-01  0.0000E+00
  1.1824E-01  1.6961E-01  4.2833E-01  1.3331E-02  2.4115E-03  1.1286E-03  1.4649E-01  4.0444E-01  0.0000E+00
  1.0984E-01  1.6376E-01  4.1651E-01  1.2831E-02  2.3870E-03  1.1759E-03  1.4173E-01  3.9340E-01  0.0000E+00
  1.0270E-01  1.5846E-01  4.0565E-01  1.2376E-02  2.3584E-03  1.2105E-03  1.3740E-01  3.8326E-01  0.0000E+00
  9.6593E-02  1.5365E-01  3.9570E-01  1.1964E-02  2.3277E-03  1.2356E-03  1.3346E-01  3.7397E-01  0.0000E+00
  9.1000E-02  1.4900E-01  3.8598E-01  1.1566E-02  2.2938E-03  1.2545E-03  1.2963E-01  3.6488E-01  0.0000E+00
  8.5965E-02  1.4459E-01  3.7667E-01  1.1188E-02  2.2581E-03  1.2677E-03  1.2600E-01  3.5617E-01  0.0000E+00
  8.1561E-02  1.4054E-01  3.6804E-01  1.0842E-02  2.2226E-03  1.2760E-03  1.2265E-01  3.4811E-01  0.0000E+00
  7.7700E-02  1.3683E-01  3.6007E-01  1.0526E-02  2.1878E-03  1.2804E-03  1.1958E-01  3.4066E-01  0.0000E+00
  7.4079E-02  1.3320E-01  3.5223E-01  1.0217E-02  2.1518E-03  1.2821E-03  1.1657E-01  3.3331E-01  0.0000E+00
  7.0747E-02  1.2974E-01  3.4466E-01  9.9226E-03  2.1156E-03  1.2812E-03  1.1368E-01  3.2623E-01  0.0000E+00
  6.7773E-02  1.2652E-01  3.3761E-01  9.6504E-03  2.0807E-03  1.2784E-03  1.1100E-01  3.1962E-01  0.0000E+00
  6.5119E-02  1.2356E-01  3.3105E-01  9.3998E-03  2.0472E-03  1.2740E-03  1.0853E-01  3.1349E-01  0.0000E+00
  6.2588E-02  1.2065E-01  3.2456E-01  9.1536E-03  2.0133E-03  1.2682E-03  1.0609E-01  3.0740E-01  0.0000E+00
  6.0223E-02  1.1784E-01  3.1827E-01  8.9172E-03  1.9796E-03  1.2612E-03  1.0373E-01  3.0150E-01  0.0000E+00
  5.8081E-02  1.1522E-01  3.1237E-01  8.6974E-03  1.9474E-03  1.2535E-03  1.0153E-01  2.9597E-01  0.0000E+00
  5.6144E-02  1.1279E-01  3.0686E-01  8.4939E-03  1.9169E-03  1.2453E-03  9.9488E-02  2.9081E-01  0.0000E+00
  5.4275E-02  1.1039E-01  3.0139E-01  8.2930E-03  1.8860E-03  1.2362E-03  9.7462E-02  2.8567E-01  0.0000E+00
  5.2507E-02  1.0806E-01  2.9605E-01  8.0989E-03  1.8555E-03  1.2265E-03  9.5497E-02  2.8067E-01  0.0000E+00
  5.0888E-02  1.0589E-01  2.9103E-01  7.9175E-03  1.8265E-03  1.2167E-03  9.3654E-02  2.7595E-01  0.0000E+00
  4.9411E-02  1.0385E-01  2.8633E-01  7.7489E-03  1.7990E-03  1.2069E-03  9.1934E-02  2.7154E-01  0.0000E+00
  4.7971E-02  1.0184E-01  2.8163E-01  7.5817E-03  1.7712E-03  1.1965E-03  9.0221E-02  2.6713E-01  0.0000E+00
  4.6597E-02  9.9872E-02  2.7704E-01  7.4194E-03  1.7439E-03  1.1859E-03  8.8553E-02  2.6282E-01  0.0000E+00
  4.5329E-02  9.8026E-02  2.7271E-01  7.2672E-03  1.7179E-03  1.1753E-03  8.6983E-02  2.5875E-01  0.0000E+00
  4.4162E-02  9.6299E-02  2.6863E-01  7.1251E-03  1.6932E-03  1.1650E-03  8.5512E-02  2.5492E-01  0.0000E+00
  4.3016E-02  9.4575E-02  2.6455E-01  6.9836E-03  1.6684E-03  1.1543E-03  8.4043E-02  2.5108E-01  0.0000E+00
  4.9868E-01  2.9269E-01  6.6761E-01  1.9869E-02  0.0000E+00  0.0000E+00  2.4945E-01  6.3137E-01  0.0000E+00
  4.4444E-01  2.8201E-01  6.5043E-01  1.9423E-02  0.0000E+00  0.0000E+00  2.4090E-01  6.1497E-01  0.0000E+00
  4.0759E-01  2.7406E-01  6.3733E-01  1.9045E-02  0.0000E+00  0.0000E+00  2.3452E-01  6.0252E-01  0.0000E+00
  3.5640E-01  2.6187E-01  6.1675E-01  1.8400E-02  0.0000E+00  0.0000E+00  2.2472E-01  5.8301E-01  0.0000E+00
  3.5640E-01  2.6187E-01  6.1675E-01  1.8400E-02  8.9937E-10  0.0000E+00  2.2472E-01  5.8301E-01  0.0000E+00
  3.2788E-01  2.5470E-01  6.0438E-01  1.7988E-02  2.8727E-04  0.0000E+00  2.1894E-01  5.7132E-01  0.0000E+00
  2.9802E-01  2.4654E-01  5.9006E-01  1.7494E-02  5.6511E-04  0.0000E+00  2.1236E-01  5.5781E-01  0.0000E+00
  2.7498E-01  2.3971E-01  5.7786E-01  1.7062E-02  7.6663E-04  0.0000E+00  2.0683E-01  5.4631E-01  0.0000E+00
  2.5497E-01  2.3334E-01  5.6631E-01  1.6646E-02  9.3135E-04  0.0000E+00  2.0166E-01  5.3544E-01  0.0000E+00
  2.3574E-01  2.2675E-01  5.5422E-01  1.6203E-02  1.0797E-03  0.0000E+00  1.9631E-01  5.2407E-01  0.0000E+00
  2.2054E-01  2.2118E-01  5.4385E-01  1.5821E-02  1.1892E-03  0.0000E+00  1.9178E-01  5.1433E-01  0.0000E+00
  2.0706E-01  2.1594E-01  5.3398E-01  1.5455E-02  1.2798E-03  0.0000E+00  1.8750E-01  5.0506E-01  0.0000E+00
  1.9714E-01  2.1187E-01  5.2625E-01  1.5167E-02  1.3423E-03  0.0000E+00  1.8417E-01  4.9781E-01  0.0000E+00
  1.7682E-01  2.0293E-01  5.0901E-01  1.4523E-02  1.4576E-03  0.0000E+00  1.7684E-01  4.8163E-01  0.0000E+00
  1.7682E-01  2.0293E-01  5.0901E-01  1.4523E-02  1.4576E-03  2.9676E-11  1.7684E-01  4.8163E-01  0.0000E+00
  1.6279E-01  1.9649E-01  4.9641E-01  1.4053E-02  1.5227E-03  1.4598E-04  1.7154E-01  4.6980E-01  0.0000E+00
  1.4774E-01  1.8896E-01  4.8147E-01  1.3496E-02  1.5814E-03  2.9217E-04  1.6534E-01  4.5579E-01  0.0000E+00
  1.3405E-01  1.8146E-01  4.6633E-01  1.2933E-02  1.6229E-03  4.1789E-04  1.5912E-01  4.4159E-01  0.0000E+00
  1.2310E-01  1.7491E-01  4.5295E-01  1.2440E-02  1.6464E-03  5.1232E-04  1.5369E-01  4.2903E-01  0.0000E+00
  1.1329E-01  1.6856E-01  4.3978E-01  1.1958E-02  1.6589E-03  5.9153E-04  1.4839E-01  4.1668E-01  0.0000E+00
  1.0597E-01  1.6348E-01  4.2912E-01  1.1571E-02  1.6622E-03  6.4670E-04  1.4415E-01  4.0668E-01  0.0000E+00
  9.7960E-02  1.5753E-01  4.1650E-01  1.1117E-02  1.6590E-03  7.0251E-04  1.3916E-01  3.9484E-01  0.0000E+00
  9.1581E-02  1.5246E-01  4.0562E-01  1.0729E-02  1.6506E-03  7.4307E-04  1.3490E-01  3.8463E-01  0.0000E+00
  8.6244E-02  1.4796E-01  3.9588E-01  1.0385E-02  1.6392E-03  7.7395E-04  1.3111E-01  3.7548E-01  0.0000E+00
  8.0096E-02  1.4246E-01  3.8383E-01  9.9636E-03  1.6203E-03  8.0558E-04  1.2646E-01  3.6416E-01  0.0000E+00
  7.4879E-02  1.3749E-01  3.7281E-01  9.5832E-03  1.5989E-03  8.2860E-04  1.2224E-01  3.5381E-01  0.0000E+00
  7.0424E-02  1.3299E-01  3.6276E-01  9.2400E-03  1.5763E-03  8.4510E-04  1.1843E-01  3.4437E-01  0.0000E+00
  6.6345E-02  1.2865E-01  3.5297E-01  8.9094E-03  1.5517E-03  8.5732E-04  1.1473E-01  3.3517E-01  0.0000E+00
  6.2675E-02  1.2456E-01  3.4364E-01  8.5976E-03  1.5260E-03  8.6567E-04  1.1123E-01  3.2639E-01  0.0000E+00
  5.9465E-02  1.2080E-01  3.3502E-01  8.3128E-03  1.5006E-03  8.7068E-04  1.0802E-01  3.1828E-01  0.0000E+00
  5.6651E-02  1.1738E-01  3.2708E-01  8.0533E-03  1.4758E-03  8.7316E-04  1.0509E-01  3.1081E-01  0.0000E+00
  5.4010E-02  1.1404E-01  3.1929E-01  7.8010E-03  1.4503E-03  8.7369E-04  1.0222E-01  3.0348E-01  0.0000E+00
  5.1581E-02  1.1085E-01  3.1181E-01  7.5608E-03  1.4247E-03  8.7252E-04  9.9473E-02  2.9643E-01  0.0000E+00
  4.9411E-02  1.0791E-01  3.0484E-01  7.3396E-03  1.4001E-03  8.7003E-04  9.6935E-02  2.8987E-01  0.0000E+00
  4.7474E-02  1.0520E-01  2.9839E-01  7.1365E-03  1.3766E-03  8.6656E-04  9.4595E-02  2.8380E-01  0.0000E+00
  4.5625E-02  1.0254E-01  2.9202E-01  6.9375E-03  1.3528E-03  8.6208E-04  9.2293E-02  2.7779E-01  0.0000E+00
  4.3897E-02  9.9984E-02  2.8586E-01  6.7468E-03  1.3292E-03  8.5680E-04  9.0077E-02  2.7198E-01  0.0000E+00
  4.2331E-02  9.7607E-02  2.8009E-01  6.5699E-03  1.3067E-03  8.5105E-04  8.8013E-02  2.6655E-01  0.0000E+00
  4.0914E-02  9.5405E-02  2.7473E-01  6.4065E-03  1.2853E-03  8.4501E-04  8.6099E-02  2.6148E-01  0.0000E+00
  3.9546E-02  9.3230E-02  2.6940E-01  6.2456E-03  1.2638E-03  8.3838E-04  8.4206E-02  2.5646E-01  0.0000E+00
  3.8251E-02  9.1128E-02  2.6422E-01  6.0903E-03  1.2426E-03  8.3136E-04  8.2373E-02  2.5157E-01  0.0000E+00
  3.7064E-02  8.9163E-02  2.5936E-01  5.9456E-03  1.2224E-03  8.2426E-04  8.0659E-02  2.4698E-01  0.0000E+00
  3.5981E-02  8.7335E-02  2.5481E-01  5.8113E-03  1.2033E-03  8.1719E-04  7.9061E-02  2.4269E-01  0.0000E+00
  3.4924E-02  8.5520E-02  2.5028E-01  5.6783E-03  1.1841E-03  8.0973E-04  7.7473E-02  2.3841E-01  0.0000E+00
  3.3915E-02  8.3758E-02  2.4586E-01  5.5494E-03  1.1651E-03  8.0209E-04  7.5930E-02  2.3424E-01  0.0000E+00
  3.2983E-02  8.2104E-02  2.4170E-01  5.4288E-03  1.1471E-03  7.9456E-04  7.4480E-02  2.3030E-01  0.0000E+00
  3.2126E-02  8.0559E-02  2.3779E-01  5.3163E-03  1.1301E-03  7.8720E-04  7.3124E-02  2.2661E-01  0.0000E+00
  3.1284E-02  7.9020E-02  2.3388E-01  5.2046E-03  1.1129E-03  7.7957E-04  7.1771E-02  2.2292E-01  0.0000E+00
  3.8121E-01  2.6912E-01  6.5057E-01  1.6884E-02  0.0000E+00  0.0000E+00  2.3533E-01  6.1683E-01  0.0000E+00
  3.3728E-01  2.5823E-01  6.3118E-01  1.6367E-02  0.0000E+00  0.0000E+00  2.2632E-01  5.9841E-01  0.0000E+00
  3.0776E-01  2.5018E-01  6.1653E-01  1.5954E-02  0.0000E+00  0.0000E+00  2.1963E-01  5.8454E-01  0.0000E+00
  2.6719E-01  2.3792E-01  5.9377E-01  1.5282E-02  0.0000E+00  0.0000E+00  2.0944E-01  5.6301E-01  0.0000E+00
  2.6719E-01  2.3792E-01  5.9377E-01  1.5282E-02  6.2612E-10  0.0000E+00  2.0944E-01  5.6301E-01  0.0000E+00
  2.4487E-01  2.3077E-01  5.8021E-01  1.4869E-02  1.9960E-04  0.0000E+00  2.0347E-01  5.5021E-01  0.0000E+00
  2.2167E-01  2.2267E-01  5.6462E-01  1.4385E-02  3.9166E-04  0.0000E+00  1.9670E-01  5.3550E-01  0.0000E+00
  2.0390E-01  2.1592E-01  5.5143E-01  1.3970E-02  5.3029E-04  0.0000E+00  1.9105E-01  5.2307E-01  0.0000E+00
  1.8857E-01  2.0965E-01  5.3902E-01  1.3576E-02  6.4310E-04  0.0000E+00  1.8578E-01  5.1138E-01  0.0000E+00
  1.7392E-01  2.0320E-01  5.2610E-01  1.3164E-02  7.4420E-04  0.0000E+00  1.8035E-01  4.9920E-01  0.0000E+00
  1.6240E-01  1.9777E-01  5.1507E-01  1.2812E-02  8.1853E-04  0.0000E+00  1.7577E-01  4.8882E-01  0.0000E+00
  1.5223E-01  1.9267E-01  5.0462E-01  1.2477E-02  8.7980E-04  0.0000E+00  1.7146E-01  4.7898E-01  0.0000E+00
  1.4477E-01  1.8873E-01  4.9647E-01  1.2217E-02  9.2183E-04  0.0000E+00  1.6812E-01  4.7131E-01  0.0000E+00
  1.2957E-01  1.8009E-01  4.7838E-01  1.1640E-02  9.9897E-04  0.0000E+00  1.6079E-01  4.5428E-01  0.0000E+00
  1.2957E-01  1.8009E-01  4.7838E-01  1.1640E-02  9.9897E-04  2.0508E-11  1.6079E-01  4.5428E-01  0.0000E+00
  1.1914E-01  1.7391E-01  4.6524E-01  1.1222E-02  1.0421E-03  1.0080E-04  1.5553E-01  4.4191E-01  0.0000E+00
  1.0800E-01  1.6671E-01  4.4975E-01  1.0733E-02  1.0806E-03  2.0155E-04  1.4938E-01  4.2732E-01  0.0000E+00
  9.7914E-02  1.5957E-01  4.3413E-01  1.0245E-02  1.1073E-03  2.8800E-04  1.4326E-01  4.1262E-01  0.0000E+00
  8.9878E-02  1.5337E-01  4.2041E-01  9.8190E-03  1.1219E-03  3.5280E-04  1.3794E-01  3.9970E-01  0.0000E+00
  8.2693E-02  1.4737E-01  4.0698E-01  9.4064E-03  1.1291E-03  4.0704E-04  1.3277E-01  3.8704E-01  0.0000E+00
  7.7344E-02  1.4259E-01  3.9614E-01  9.0769E-03  1.1303E-03  4.4474E-04  1.2864E-01  3.7684E-01  0.0000E+00
  7.1505E-02  1.3702E-01  3.8338E-01  8.6927E-03  1.1269E-03  4.8278E-04  1.2382E-01  3.6481E-01  0.0000E+00
  6.6859E-02  1.3228E-01  3.7242E-01  8.3664E-03  1.1202E-03  5.1035E-04  1.1971E-01  3.5447E-01  0.0000E+00
  6.2976E-02  1.2810E-01  3.6264E-01  8.0782E-03  1.1115E-03  5.3128E-04  1.1606E-01  3.4525E-01  0.0000E+00
  5.8505E-02  1.2299E-01  3.5059E-01  7.7271E-03  1.0977E-03  5.5262E-04  1.1161E-01  3.3389E-01  0.0000E+00
  5.4711E-02  1.1839E-01  3.3963E-01  7.4115E-03  1.0822E-03  5.6806E-04  1.0759E-01  3.2354E-01  0.0000E+00
  5.1472E-02  1.1425E-01  3.2966E-01  7.1280E-03  1.0661E-03  5.7903E-04  1.0396E-01  3.1413E-01  0.0000E+00
  4.8505E-02  1.1027E-01  3.1999E-01  6.8560E-03  1.0486E-03  5.8706E-04  1.0046E-01  3.0499E-01  0.0000E+00
  4.5834E-02  1.0651E-01  3.1079E-01  6.6003E-03  1.0305E-03  5.9243E-04  9.7159E-02  2.9631E-01  0.0000E+00
  4.3496E-02  1.0309E-01  3.0234E-01  6.3676E-03  1.0126E-03  5.9554E-04  9.4137E-02  2.8831E-01  0.0000E+00
  4.1445E-02  9.9964E-02  2.9457E-01  6.1562E-03  9.9521E-04  5.9691E-04  9.1380E-02  2.8098E-01  0.0000E+00
  3.9518E-02  9.6928E-02  2.8697E-01  5.9513E-03  9.7736E-04  5.9695E-04  8.8695E-02  2.7379E-01  0.0000E+00
  3.7744E-02  9.4039E-02  2.7969E-01  5.7568E-03  9.5951E-04  5.9582E-04  8.6135E-02  2.6690E-01  0.0000E+00
  3.6158E-02  9.1377E-02  2.7293E-01  5.5781E-03  9.4236E-04  5.9380E-04  8.3772E-02  2.6050E-01  0.0000E+00
  3.4741E-02  8.8931E-02  2.6669E-01  5.4144E-03  9.2602E-04  5.9112E-04  8.1599E-02  2.5459E-01  0.0000E+00
  3.3387E-02  8.6535E-02  2.6053E-01  5.2545E-03  9.0946E-04  5.8776E-04  7.9466E-02  2.4877E-01  0.0000E+00
  3.2120E-02  8.4236E-02  2.5459E-01  5.1015E-03  8.9310E-04  5.8384E-04  7.7417E-02  2.4314E-01  0.0000E+00
  3.0971E-02  8.2103E-02  2.4905E-01  4.9599E-03  8.7749E-04  5.7962E-04  7.5514E-02  2.3790E-01  0.0000E+00
  2.9930E-02  8.0132E-02  2.4391E-01  4.8294E-03  8.6272E-04  5.7522E-04  7.3752E-02  2.3302E-01  0.0000E+00
  2.8924E-02  7.8188E-02  2.3881E-01  4.7010E-03  8.4782E-04  5.7041E-04  7.2013E-02  2.2819E-01  0.0000E+00
  2.7971E-02  7.6312E-02  2.3386E-01  4.5775E-03  8.3314E-04  5.6534E-04  7.0334E-02  2.2350E-01  0.0000E+00
  2.7098E-02  7.4562E-02  2.2923E-01  4.4625E-03  8.1919E-04  5.6023E-04  6.8765E-02  2.1910E-01  0.0000E+00
  2.6299E-02  7.2936E-02  2.2490E-01  4.3560E-03  8.0599E-04  5.5515E-04  6.7306E-02  2.1500E-01  0.0000E+00
  2.5520E-02  7.1325E-02  2.2060E-01  4.2507E-03  7.9271E-04  5.4981E-04  6.5858E-02  2.1092E-01  0.0000E+00
  2.4775E-02  6.9763E-02  2.1641E-01  4.1488E-03  7.7963E-04  5.4435E-04  6.4454E-02  2.0694E-01  0.0000E+00
  2.4088E-02  6.8299E-02  2.1246E-01  4.0536E-03  7.6719E-04  5.3897E-04  6.3137E-02  2.0320E-01  0.0000E+00
  2.3454E-02  6.6934E-02  2.0877E-01  3.9650E-03  7.5544E-04  5.3372E-04  6.1907E-02  1.9970E-01  0.0000E+00
  2.2831E-02  6.5575E-02  2.0508E-01  3.8770E-03  7.4361E-04  5.2829E-04  6.0682E-02  1.9620E-01  0.0000E+00
  2.8651E-01  2.4509E-01  6.2760E-01  1.4230E-02  0.0000E+00  0.0000E+00  2.1937E-01  5.9640E-01  0.0000E+00
  2.5194E-01  2.3424E-01  6.0641E-01  1.3689E-02  0.0000E+00  0.0000E+00  2.1010E-01  5.7634E-01  0.0000E+00
  2.2893E-01  2.2627E-01  5.9054E-01  1.3271E-02  0.0000E+00  0.0000E+00  2.0327E-01  5.6133E-01  0.0000E+00
  1.9762E-01  2.1421E-01  5.6607E-01  1.2613E-02  0.0000E+00  0.0000E+00  1.9292E-01  5.3821E-01  0.0000E+00
  1.9762E-01  2.1421E-01  5.6607E-01  1.2613E-02  4.3111E-10  0.0000E+00  1.9292E-01  5.3821E-01  0.0000E+00
  1.8058E-01  2.0721E-01  5.5162E-01  1.2218E-02  1.3723E-04  0.0000E+00  1.8689E-01  5.2456E-01  0.0000E+00
  1.6299E-01  1.9933E-01  5.3510E-01  1.1762E-02  2.6881E-04  0.0000E+00  1.8009E-01  5.0896E-01  0.0000E+00
  1.4960E-01  1.9279E-01  5.2120E-01  1.1378E-02  3.6344E-04  0.0000E+00  1.7443E-01  4.9585E-01 -5.5511E-17
  1.3811E-01  1.8673E-01  5.0818E-01  1.1017E-02  4.4022E-04  0.0000E+00  1.6918E-01  4.8356E-01  0.0000E+00
  1.2718E-01  1.8053E-01  4.9469E-01  1.0644E-02  5.0882E-04  0.0000E+00  1.6380E-01  4.7083E-01  0.0000E+00
  1.1862E-01  1.7532E-01  4.8324E-01  1.0327E-02  5.5912E-04  0.0000E+00  1.5927E-01  4.6003E-01  0.0000E+00
  1.1110E-01  1.7045E-01  4.7242E-01  1.0029E-02  6.0046E-04  0.0000E+00  1.5502E-01  4.4982E-01  0.0000E+00
  1.0560E-01  1.6670E-01  4.6401E-01  9.7986E-03  6.2876E-04  0.0000E+00  1.5174E-01  4.4188E-01  0.0000E+00
  9.4425E-02  1.5850E-01  4.4544E-01  9.2918E-03  6.8049E-04  0.0000E+00  1.4456E-01  4.2435E-01  0.0000E+00
  9.4425E-02  1.5850E-01  4.4544E-01  9.2918E-03  6.8049E-04  1.4142E-11  1.4456E-01  4.2435E-01  0.0000E+00
  8.6796E-02  1.5265E-01  4.3201E-01  8.9286E-03  7.0928E-04  6.9489E-05  1.3943E-01  4.1167E-01  0.0000E+00
  7.8677E-02  1.4588E-01  4.1627E-01  8.5064E-03  7.3475E-04  1.3887E-04  1.3347E-01  3.9680E-01  0.0000E+00
  7.1340E-02  1.3918E-01  4.0048E-01  8.0876E-03  7.5223E-04  1.9835E-04  1.2756E-01  3.8189E-01  0.0000E+00
  6.5510E-02  1.3339E-01  3.8668E-01  7.7255E-03  7.6160E-04  2.4289E-04  1.2243E-01  3.6884E-01  0.0000E+00
  6.0306E-02  1.2781E-01  3.7322E-01  7.3767E-03  7.6595E-04  2.8013E-04  1.1749E-01  3.5613E-01  0.0000E+00
  5.6434E-02  1.2338E-01  3.6242E-01  7.0995E-03  7.6633E-04  3.0598E-04  1.1355E-01  3.4591E-01  0.0000E+00
  5.2210E-02  1.1823E-01  3.4974E-01  6.7780E-03  7.6353E-04  3.3203E-04  1.0896E-01  3.3391E-01  0.0000E+00
  4.8849E-02  1.1387E-01  3.3889E-01  6.5063E-03  7.5859E-04  3.5088E-04  1.0507E-01  3.2365E-01  0.0000E+00
  4.6039E-02  1.1003E-01  3.2925E-01  6.2672E-03  7.5236E-04  3.6515E-04  1.0163E-01  3.1452E-01  0.0000E+00
  4.2801E-02  1.0536E-01  3.1741E-01  5.9772E-03  7.4254E-04  3.7965E-04  9.7447E-02  3.0331E-01  0.0000E+00
  4.0052E-02  1.0116E-01  3.0668E-01  5.7176E-03  7.3169E-04  3.9010E-04  9.3678E-02  2.9314E-01  0.0000E+00
  3.7702E-02  9.7393E-02  2.9696E-01  5.4853E-03  7.2039E-04  3.9747E-04  9.0288E-02  2.8392E-01  0.0000E+00
  3.5546E-02  9.3780E-02  2.8756E-01  5.2632E-03  7.0822E-04  4.0280E-04  8.7032E-02  2.7501E-01  0.0000E+00
  3.3602E-02  9.0384E-02  2.7865E-01  5.0552E-03  6.9563E-04  4.0630E-04  8.3965E-02  2.6656E-01  0.0000E+00
  3.1899E-02  8.7293E-02  2.7048E-01  4.8665E-03  6.8321E-04  4.0824E-04  8.1170E-02  2.5881E-01  0.0000E+00
  3.0402E-02  8.4484E-02  2.6300E-01  4.6955E-03  6.7118E-04  4.0900E-04  7.8626E-02  2.5171E-01  0.0000E+00
  2.8994E-02  8.1760E-02  2.5570E-01  4.5302E-03  6.5882E-04  4.0883E-04  7.6155E-02  2.4478E-01  0.0000E+00
  2.7695E-02  7.9172E-02  2.4872E-01  4.3737E-03  6.4648E-04  4.0786E-04  7.3804E-02  2.3815E-01  0.0000E+00
  2.6532E-02  7.6793E-02  2.4226E-01  4.2303E-03  6.3463E-04  4.0629E-04  7.1641E-02  2.3202E-01  0.0000E+00
  2.5492E-02  7.4613E-02  2.3631E-01  4.0992E-03  6.2334E-04  4.0427E-04  6.9655E-02  2.2636E-01  0.0000E+00
  2.4497E-02  7.2480E-02  2.3045E-01  3.9714E-03  6.1192E-04  4.0177E-04  6.7711E-02  2.2079E-01  0.0000E+00
  2.3565E-02  7.0438E-02  2.2482E-01  3.8494E-03  6.0063E-04  3.9889E-04  6.5848E-02  2.1544E-01  0.0000E+00
  2.2718E-02  6.8548E-02  2.1957E-01  3.7367E-03  5.8986E-04  3.9581E-04  6.4121E-02  2.1045E-01  0.0000E+00
  2.1951E-02  6.6803E-02  2.1471E-01  3.6330E-03  5.7968E-04  3.9262E-04  6.2525E-02  2.0582E-01  0.0000E+00
  2.1208E-02  6.5086E-02  2.0990E-01  3.5313E-03  5.6941E-04  3.8914E-04  6.0953E-02  2.0124E-01  0.0000E+00
  2.0504E-02  6.3432E-02  2.0524E-01  3.4335E-03  5.5930E-04  3.8549E-04  5.9438E-02  1.9681E-01  0.0000E+00
  1.9858E-02  6.1891E-02  2.0089E-01  3.3427E-03  5.4969E-04  3.8181E-04  5.8025E-02  1.9267E-01  0.0000E+00
  1.9267E-02  6.0462E-02  1.9683E-01  3.2587E-03  5.4060E-04  3.7817E-04  5.6713E-02  1.8880E-01  0.0000E+00
  1.8690E-02  5.9048E-02  1.9280E-01  3.1757E-03  5.3146E-04  3.7434E-04  5.5415E-02  1.8497E-01  0.0000E+00
  1.8138E-02  5.7679E-02  1.8888E-01  3.0956E-03  5.2246E-04  3.7044E-04  5.4157E-02  1.8124E-01  0.0000E+00
  1.7628E-02  5.6398E-02  1.8520E-01  3.0209E-03  5.1390E-04  3.6659E-04  5.2978E-02  1.7773E-01  0.0000E+00
  1.7158E-02  5.5205E-02  1.8176E-01  2.9514E-03  5.0582E-04  3.6285E-04  5.1880E-02  1.7445E-01  0.0000E+00
  1.6696E-02  5.4020E-02  1.7833E-01  2.8825E-03  4.9768E-04  3.5898E-04  5.0788E-02  1.7118E-01  0.0000E+00
  2.1164E-01  2.2116E-01  5.9950E-01  1.1891E-02  0.0000E+00  0.0000E+00  2.0212E-01  5.7097E-01  5.5511E-17
  1.8518E-01  2.1056E-01  5.7694E-01  1.1359E-02  0.0000E+00  0.0000E+00  1.9280E-01  5.4964E-01  5.5511E-17
  1.6772E-01  2.0281E-01  5.6018E-01  1.0957E-02  0.0000E+00  0.0000E+00  1.8597E-01  5.3379E-01  5.5511E-17
  1.4418E-01  1.9116E-01  5.3451E-01  1.0338E-02  0.0000E+00  0.0000E+00  1.7567E-01  5.0952E-01  5.5511E-17
  1.4418E-01  1.9116E-01  5.3451E-01  1.0338E-02  2.9339E-10  0.0000E+00  1.7567E-01  5.0952E-01  5.5511E-17
  1.3148E-01  1.8443E-01  5.1945E-01  9.9726E-03  9.3311E-05  0.0000E+00  1.6972E-01  4.9529E-01  5.5511E-17
  1.1846E-01  1.7688E-01  5.0232E-01  9.5574E-03  1.8258E-04  0.0000E+00  1.6302E-01  4.7909E-01  5.5511E-17
  1.0859E-01  1.7065E-01  4.8799E-01  9.2106E-03  2.4666E-04  0.0000E+00  1.5747E-01  4.6555E-01  5.5511E-17
  1.0017E-01  1.6490E-01  4.7462E-01  8.8883E-03  2.9858E-04  0.0000E+00  1.5234E-01  4.5291E-01  5.5511E-17
  9.2188E-02  1.5902E-01  4.6083E-01  8.5574E-03  3.4490E-04  0.0000E+00  1.4710E-01  4.3986E-01  0.0000E+00
  8.5959E-02  1.5411E-01  4.4917E-01  8.2791E-03  3.7882E-04  0.0000E+00  1.4270E-01  4.2883E-01  0.0000E+00
  8.0499E-02  1.4952E-01  4.3819E-01  8.0186E-03  4.0667E-04  0.0000E+00  1.3859E-01  4.1844E-01  0.0000E+00
  7.6519E-02  1.4600E-01  4.2968E-01  7.8180E-03  4.2572E-04  0.0000E+00  1.3543E-01  4.1039E-01  0.0000E+00
  6.8450E-02  1.3833E-01  4.1096E-01  7.3803E-03  4.6051E-04  0.0000E+00  1.2853E-01  3.9267E-01  0.0000E+00
  6.8450E-02  1.3833E-01  4.1096E-01  7.3803E-03  4.6051E-04  9.7263E-12  1.2853E-01  3.9267E-01  0.0000E+00
  6.2954E-02  1.3288E-01  3.9750E-01  7.0691E-03  4.7983E-04  4.7793E-05  1.2362E-01  3.7993E-01  0.0000E+00
  5.7116E-02  1.2659E-01  3.8178E-01  6.7096E-03  4.9688E-04  9.5511E-05  1.1794E-01  3.6504E-01  0.0000E+00
  5.1847E-02  1.2040E-01  3.6610E-01  6.3555E-03  5.0853E-04  1.3642E-04  1.1233E-01  3.5018E-01  0.0000E+00
  4.7664E-02  1.1507E-01  3.5245E-01  6.0512E-03  5.1473E-04  1.6704E-04  1.0749E-01  3.3723E-01  0.0000E+00
  4.3929E-02  1.0995E-01  3.3920E-01  5.7597E-03  5.1754E-04  1.9264E-04  1.0284E-01  3.2467E-01  0.0000E+00
  4.1149E-02  1.0590E-01  3.2860E-01  5.5291E-03  5.1769E-04  2.1040E-04  9.9146E-02  3.1461E-01  0.0000E+00
  3.8114E-02  1.0120E-01  3.1620E-01  5.2628E-03  5.1568E-04  2.2828E-04  9.4860E-02  3.0284E-01  0.0000E+00
  3.5696E-02  9.7236E-02  3.0564E-01  5.0387E-03  5.1222E-04  2.4119E-04  9.1236E-02  2.9281E-01  0.0000E+00
  3.3672E-02  9.3751E-02  2.9628E-01  4.8423E-03  5.0792E-04  2.5097E-04  8.8046E-02  2.8392E-01  0.0000E+00
  3.1335E-02  8.9527E-02  2.8483E-01  4.6049E-03  5.0114E-04  2.6087E-04  8.4171E-02  2.7304E-01  0.0000E+00
  2.9347E-02  8.5746E-02  2.7449E-01  4.3933E-03  4.9368E-04  2.6797E-04  8.0696E-02  2.6320E-01  0.0000E+00
  2.7643E-02  8.2361E-02  2.6515E-01  4.2045E-03  4.8591E-04  2.7294E-04  7.7582E-02  2.5432E-01  0.0000E+00
  2.6078E-02  7.9124E-02  2.5615E-01  4.0247E-03  4.7755E-04  2.7650E-04  7.4598E-02  2.4575E-01  0.0000E+00
  2.4663E-02  7.6090E-02  2.4764E-01  3.8567E-03  4.6890E-04  2.7880E-04  7.1797E-02  2.3766E-01  0.0000E+00
  2.3420E-02  7.3335E-02  2.3987E-01  3.7048E-03  4.6038E-04  2.8001E-04  6.9251E-02  2.3025E-01  0.0000E+00
  2.2326E-02  7.0838E-02  2.3277E-01  3.5675E-03  4.5212E-04  2.8042E-04  6.6940E-02  2.2349E-01  0.0000E+00
  2.1295E-02  6.8421E-02  2.2586E-01  3.4351E-03  4.4364E-04  2.8017E-04  6.4701E-02  2.1690E-01  0.0000E+00
  2.0343E-02  6.6131E-02  2.1927E-01  3.3101E-03  4.3517E-04  2.7938E-04  6.2577E-02  2.1062E-01  0.0000E+00
  1.9488E-02  6.4030E-02  2.1318E-01  3.1958E-03  4.2703E-04  2.7816E-04  6.0626E-02  2.0482E-01  0.0000E+00
  1.8723E-02  6.2108E-02  2.0759E-01  3.0916E-03  4.1928E-04  2.7665E-04  5.8840E-02  1.9948E-01  0.0000E+00
  1.7989E-02  6.0231E-02  2.0210E-01  2.9901E-03  4.1143E-04  2.7480E-04  5.7095E-02  1.9424E-01  0.0000E+00
  1.7301E-02  5.8439E-02  1.9682E-01  2.8935E-03  4.0368E-04  2.7270E-04  5.5426E-02  1.8921E-01  0.0000E+00
  1.6676E-02  5.6782E-02  1.9192E-01  2.8044E-03  3.9629E-04  2.7046E-04  5.3882E-02  1.8453E-01  0.0000E+00
  1.6108E-02  5.5255E-02  1.8739E-01  2.7226E-03  3.8930E-04  2.6814E-04  5.2458E-02  1.8020E-01  0.0000E+00
  1.5558E-02  5.3756E-02  1.8291E-01  2.6425E-03  3.8225E-04  2.6563E-04  5.1059E-02  1.7593E-01  0.0000E+00
  1.5036E-02  5.2313E-02  1.7859E-01  2.5656E-03  3.7530E-04  2.6299E-04  4.9712E-02  1.7180E-01  0.0000E+00
  1.4557E-02  5.0972E-02  1.7455E-01  2.4943E-03  3.6870E-04  2.6035E-04  4.8458E-02  1.6794E-01  0.0000E+00
  1.4118E-02  4.9730E-02  1.7080E-01  2.4284E-03  3.6246E-04  2.5773E-04  4.7296E-02  1.6436E-01  0.0000E+00
  1.3690E-02  4.8503E-02  1.6708E-01  2.3635E-03  3.5618E-04  2.5499E-04  4.6148E-02  1.6080E-01  0.0000E+00
  1.3280E-02  4.7317E-02  1.6346E-01  2.3010E-03  3.5000E-04  2.5220E-04  4.5037E-02  1.5734E-01  0.0000E+00
  1.2900E-02  4.6209E-02  1.6008E-01  2.2426E-03  3.4413E-04  2.4945E-04  4.3999E-02  1.5410E-01  0.0000E+00
  1.2550E-02  4.5178E-02  1.5691E-01  2.1885E-03  3.3858E-04  2.4678E-04  4.3032E-02  1.5108E-01  0.0000E+00
  1.2206E-02  4.4155E-02  1.5376E-01  2.1349E-03  3.3299E-04  2.4402E-04  4.2073E-02  1.4807E-01  0.0000E+00
  1.5355E-01  1.9775E-01  5.6711E-01  9.8459E-03  0.0000E+00  0.0000E+00  1.8409E-01  5.4139E-01  0.0000E+00
  1.3387E-01  1.8757E-01  5.4364E-01  9.3439E-03  0.0000E+00  0.0000E+00  1.7490E-01  5.1918E-01  0.0000E+00
  1.2099E-01  1.8016E-01  5.2630E-01  8.9720E-03  0.0000E+00  0.0000E+00  1.6820E-01  5.0277E-01  0.0000E+00
  1.0375E-01  1.6908E-01  4.9992E-01  8.4072E-03  0.0000E+00  0.0000E+00  1.5816E-01  4.7780E-01  0.0000E+00
  1.0375E-01  1.6908E-01  4.9992E-01  8.4072E-03  1.9737E-10  0.0000E+00  1.5816E-01  4.7780E-01  0.0000E+00
  9.4531E-02  1.6271E-01  4.8454E-01  8.0791E-03  6.2758E-05  0.0000E+00  1.5237E-01  4.6323E-01  0.0000E+00
  8.5116E-02  1.5559E-01  4.6712E-01  7.7097E-03  1.2277E-04  0.0000E+00  1.4589E-01  4.4674E-01  0.0000E+00
  7.8020E-02  1.4973E-01  4.5262E-01  7.4040E-03  1.6584E-04  0.0000E+00  1.4055E-01  4.3299E-01  0.0000E+00
  7.1979E-02  1.4434E-01  4.3914E-01  7.1220E-03  2.0073E-04  0.0000E+00  1.3563E-01  4.2022E-01  0.0000E+00
  6.6274E-02  1.3886E-01  4.2529E-01  6.8344E-03  2.3188E-04  0.0000E+00  1.3062E-01  4.0709E-01  0.0000E+00
  6.1833E-02  1.3429E-01  4.1362E-01  6.5940E-03  2.5470E-04  0.0000E+00  1.2642E-01  3.9602E-01  0.0000E+00
  5.7946E-02  1.3003E-01  4.0267E-01  6.3702E-03  2.7346E-04  0.0000E+00  1.2252E-01  3.8563E-01  0.0000E+00
  5.5116E-02  1.2677E-01  3.9421E-01  6.1986E-03  2.8629E-04  0.0000E+00  1.1952E-01  3.7760E-01  0.0000E+00
  4.9386E-02  1.1969E-01  3.7566E-01  5.8263E-03  3.0976E-04  0.0000E+00  1.1300E-01  3.6000E-01  0.0000E+00
  4.9386E-02  1.1969E-01  3.7566E-01  5.8263E-03  3.0976E-04  6.6744E-12  1.1300E-01  3.6000E-01  0.0000E+00
  4.5485E-02  1.1468E-01  3.6239E-01  5.5634E-03  3.2282E-04  3.2808E-05  1.0838E-01  3.4739E-01  0.0000E+00
  4.1342E-02  1.0892E-01  3.4695E-01  5.2614E-03  3.3437E-04  6.5589E-05  1.0306E-01  3.3272E-01  0.0000E+00
  3.7601E-02  1.0326E-01  3.3162E-01  4.9658E-03  3.4229E-04  9.3710E-05  9.7829E-02  3.1814E-01  0.0000E+00
  3.4628E-02  9.8415E-02  3.1833E-01  4.7130E-03  3.4653E-04  1.1477E-04  9.3333E-02  3.0550E-01  0.0000E+00
  3.1969E-02  9.3779E-02  3.0548E-01  4.4721E-03  3.4848E-04  1.3238E-04  8.9026E-02  2.9328E-01  0.0000E+00
  2.9987E-02  9.0116E-02  2.9524E-01  4.2824E-03  3.4862E-04  1.4460E-04  8.5618E-02  2.8352E-01  0.0000E+00
  2.7817E-02  8.5885E-02  2.8330E-01  4.0641E-03  3.4730E-04  1.5689E-04  8.1676E-02  2.7215E-01  0.0000E+00
  2.6085E-02  8.2326E-02  2.7317E-01  3.8811E-03  3.4499E-04  1.6576E-04  7.8355E-02  2.6250E-01  0.0000E+00
  2.4630E-02  7.9206E-02  2.6422E-01  3.7212E-03  3.4209E-04  1.7246E-04  7.5440E-02  2.5396E-01  0.0000E+00
  2.2947E-02  7.5433E-02  2.5330E-01  3.5287E-03  3.3751E-04  1.7923E-04  7.1911E-02  2.4355E-01  0.0000E+00
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  2.0276E-02  6.9062E-02  2.3463E-01  3.2057E-03  3.2719E-04  1.8742E-04  6.5938E-02  2.2573E-01  0.0000E+00
  1.9138E-02  6.6196E-02  2.2613E-01  3.0613E-03  3.2151E-04  1.8979E-04  6.3246E-02  2.1762E-01  0.0000E+00
  1.8106E-02  6.3517E-02  2.1813E-01  2.9268E-03  3.1562E-04  1.9129E-04  6.0727E-02  2.0997E-01  0.0000E+00
  1.7198E-02  6.1090E-02  2.1083E-01  2.8056E-03  3.0982E-04  1.9204E-04  5.8443E-02  2.0299E-01  0.0000E+00
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  1.5641E-02  5.6776E-02  1.9773E-01  2.5911E-03  2.9839E-04  1.9198E-04  5.4377E-02  1.9047E-01  0.0000E+00
  1.4940E-02  5.4772E-02  1.9158E-01  2.4920E-03  2.9260E-04  1.9133E-04  5.2486E-02  1.8459E-01  0.0000E+00
  1.4311E-02  5.2938E-02  1.8593E-01  2.4017E-03  2.8704E-04  1.9041E-04  5.0753E-02  1.7918E-01  0.0000E+00
  1.3746E-02  5.1263E-02  1.8074E-01  2.3194E-03  2.8174E-04  1.8927E-04  4.9170E-02  1.7422E-01  0.0000E+00
  1.3204E-02  4.9631E-02  1.7566E-01  2.2395E-03  2.7637E-04  1.8791E-04  4.7626E-02  1.6935E-01  0.0000E+00
  1.2695E-02  4.8075E-02  1.7079E-01  2.1636E-03  2.7106E-04  1.8636E-04  4.6153E-02  1.6469E-01  0.0000E+00
  1.2232E-02  4.6640E-02  1.6627E-01  2.0937E-03  2.6600E-04  1.8473E-04  4.4792E-02  1.6036E-01  0.0000E+00
  1.1811E-02  4.5319E-02  1.6210E-01  2.0297E-03  2.6120E-04  1.8305E-04  4.3541E-02  1.5636E-01  0.0000E+00
  1.1402E-02  4.4024E-02  1.5799E-01  1.9670E-03  2.5637E-04  1.8123E-04  4.2312E-02  1.5243E-01  0.0000E+00
  1.1015E-02  4.2781E-02  1.5403E-01  1.9070E-03  2.5161E-04  1.7933E-04  4.1132E-02  1.4863E-01  0.0000E+00
  1.0659E-02  4.1626E-02  1.5034E-01  1.8514E-03  2.4709E-04  1.7743E-04  4.0036E-02  1.4509E-01  0.0000E+00
  1.0332E-02  4.0559E-02  1.4691E-01  1.8002E-03  2.4281E-04  1.7555E-04  3.9021E-02  1.4180E-01  0.0000E+00
  1.0013E-02  3.9506E-02  1.4351E-01  1.7498E-03  2.3851E-04  1.7358E-04  3.8021E-02  1.3854E-01  0.0000E+00
  9.7079E-03  3.8490E-02  1.4022E-01  1.7013E-03  2.3427E-04  1.7158E-04  3.7054E-02  1.3538E-01  0.0000E+00
  9.4253E-03  3.7541E-02  1.3714E-01  1.6561E-03  2.3024E-04  1.6961E-04  3.6152E-02  1.3243E-01  0.0000E+00
  9.1646E-03  3.6661E-02  1.3427E-01  1.6142E-03  2.2643E-04  1.6770E-04  3.5313E-02  1.2967E-01  0.0000E+00
  8.9083E-03  3.5788E-02  1.3142E-01  1.5728E-03  2.2260E-04  1.6574E-04  3.4482E-02  1.2693E-01  0.0000E+00
  1.0933E-01  1.7520E-01  5.3130E-01  8.0722E-03  0.0000E+00  0.0000E+00  1.6573E-01  5.0848E-01  0.0000E+00
  9.5130E-02  1.6556E-01  5.0735E-01  7.6145E-03  0.0000E+00  0.0000E+00  1.5684E-01  4.8578E-01  0.0000E+00
  8.5903E-02  1.5858E-01  4.8975E-01  7.2800E-03  0.0000E+00  0.0000E+00  1.5038E-01  4.6909E-01  0.0000E+00
  7.3644E-02  1.4819E-01  4.6313E-01  6.7784E-03  0.0000E+00  0.0000E+00  1.4075E-01  4.4384E-01  0.0000E+00
  7.3644E-02  1.4819E-01  4.6313E-01  6.7784E-03  1.3128E-10  0.0000E+00  1.4075E-01  4.4384E-01  0.0000E+00
  6.7122E-02  1.4225E-01  4.4769E-01  6.4903E-03  4.1764E-05  0.0000E+00  1.3523E-01  4.2918E-01  0.0000E+00
  6.0488E-02  1.3563E-01  4.3029E-01  6.1685E-03  8.1754E-05  0.0000E+00  1.2908E-01  4.1266E-01  0.0000E+00
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  5.1272E-02  1.2522E-01  4.0249E-01  5.6620E-03  1.3384E-04  0.0000E+00  1.1937E-01  3.8625E-01  0.0000E+00
  4.7283E-02  1.2017E-01  3.8881E-01  5.4164E-03  1.5472E-04  0.0000E+00  1.1466E-01  3.7324E-01  0.0000E+00
  4.4179E-02  1.1597E-01  3.7732E-01  5.2122E-03  1.7005E-04  0.0000E+00  1.1073E-01  3.6231E-01  0.0000E+00
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  3.9489E-02  1.0908E-01  3.5828E-01  4.8783E-03  1.9134E-04  0.0000E+00  1.0428E-01  3.4419E-01  0.0000E+00
  3.5487E-02  1.0263E-01  3.4019E-01  4.5663E-03  2.0724E-04  0.0000E+00  9.8224E-02  3.2696E-01  0.0000E+00
  3.5487E-02  1.0263E-01  3.4019E-01  4.5663E-03  2.0724E-04  4.5713E-12  9.8224E-02  3.2696E-01  0.0000E+00
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  1.9053E-02  6.9077E-02  2.4189E-01  2.9693E-03  2.3182E-04  1.1383E-04  6.6534E-02  2.3314E-01  0.0000E+00
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  1.6797E-02  6.2987E-02  2.2318E-01  2.6859E-03  2.2687E-04  1.2304E-04  6.0745E-02  2.1524E-01  0.0000E+00
  1.5759E-02  6.0025E-02  2.1397E-01  2.5491E-03  2.2348E-04  1.2632E-04  5.7925E-02  2.0642E-01  0.0000E+00
  1.4863E-02  5.7389E-02  2.0571E-01  2.4279E-03  2.1994E-04  1.2858E-04  5.5413E-02  1.9851E-01  0.0000E+00
  1.4035E-02  5.4881E-02  1.9779E-01  2.3130E-03  2.1610E-04  1.3016E-04  5.3020E-02  1.9092E-01  0.0000E+00
  1.3282E-02  5.2543E-02  1.9036E-01  2.2064E-03  2.1212E-04  1.3113E-04  5.0787E-02  1.8379E-01  0.0000E+00
  1.2617E-02  5.0430E-02  1.8360E-01  2.1105E-03  2.0818E-04  1.3158E-04  4.8769E-02  1.7731E-01  0.0000E+00
  1.2029E-02  4.8524E-02  1.7746E-01  2.0242E-03  2.0434E-04  1.3164E-04  4.6946E-02  1.7142E-01  0.0000E+00
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  9.6731E-03  4.0525E-02  1.5128E-01  1.6661E-03  1.8537E-04  1.2830E-04  3.9282E-02  1.4629E-01  0.0000E+00
  9.2958E-03  3.9190E-02  1.4684E-01  1.6070E-03  1.8174E-04  1.2717E-04  3.8001E-02  1.4202E-01  0.0000E+00
  8.9521E-03  3.7961E-02  1.4273E-01  1.5526E-03  1.7828E-04  1.2598E-04  3.6820E-02  1.3807E-01  0.0000E+00
  8.6395E-03  3.6832E-02  1.3894E-01  1.5029E-03  1.7500E-04  1.2475E-04  3.5735E-02  1.3443E-01  0.0000E+00
  8.3363E-03  3.5726E-02  1.3521E-01  1.4543E-03  1.7169E-04  1.2343E-04  3.4672E-02  1.3084E-01  0.0000E+00
  8.0482E-03  3.4666E-02  1.3163E-01  1.4079E-03  1.6843E-04  1.2206E-04  3.3653E-02  1.2739E-01  0.0000E+00
  7.7833E-03  3.3684E-02  1.2829E-01  1.3650E-03  1.6533E-04  1.2069E-04  3.2708E-02  1.2418E-01  0.0000E+00
  7.5404E-03  3.2777E-02  1.2520E-01  1.3255E-03  1.6240E-04  1.1934E-04  3.1835E-02  1.2120E-01  0.0000E+00
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  7.0756E-03  3.1023E-02  1.1918E-01  1.2493E-03  1.5655E-04  1.1649E-04  3.0146E-02  1.1541E-01  0.0000E+00
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  6.6711E-03  2.9477E-02  1.1384E-01  1.1825E-03  1.5118E-04  1.1372E-04  2.8655E-02  1.1027E-01  0.0000E+00
  6.4803E-03  2.8740E-02  1.1129E-01  1.1508E-03  1.4856E-04  1.1232E-04  2.7945E-02  1.0781E-01  0.0000E+00
  7.6293E-02  1.5376E-01  4.9294E-01  6.5485E-03  0.0000E+00  0.0000E+00  1.4746E-01  4.7306E-01  0.0000E+00
  6.6388E-02  1.4477E-01  4.6892E-01  6.1425E-03  0.0000E+00  0.0000E+00  1.3899E-01  4.5024E-01  0.0000E+00
  5.9991E-02  1.3828E-01  4.5136E-01  5.8488E-03  0.0000E+00  0.0000E+00  1.3288E-01  4.3354E-01  0.0000E+00
  5.1537E-02  1.2867E-01  4.2494E-01  5.4131E-03  0.0000E+00  0.0000E+00  1.2380E-01  4.0840E-01  0.0000E+00
  5.1537E-02  1.2867E-01  4.2494E-01  5.4131E-03  8.6256E-11  0.0000E+00  1.2380E-01  4.0840E-01  0.0000E+00
  4.7056E-02  1.2319E-01  4.0969E-01  5.1652E-03  2.7476E-05  0.0000E+00  1.1862E-01  3.9389E-01  0.0000E+00
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  3.9101E-02  1.1215E-01  3.7843E-01  4.6659E-03  7.2923E-05  0.0000E+00  1.0816E-01  3.6411E-01  0.0000E+00
  3.6207E-02  1.0761E-01  3.6539E-01  4.4613E-03  8.8440E-05  0.0000E+00  1.0385E-01  3.5167E-01  0.0000E+00
  3.3480E-02  1.0302E-01  3.5208E-01  4.2549E-03  1.0238E-04  0.0000E+00  9.9482E-02  3.3897E-01  0.0000E+00
  3.1357E-02  9.9209E-02  3.4093E-01  4.0841E-03  1.1265E-04  0.0000E+00  9.5856E-02  3.2834E-01  0.0000E+00
  2.9498E-02  9.5682E-02  3.3053E-01  3.9264E-03  1.2115E-04  0.0000E+00  9.2497E-02  3.1841E-01  0.0000E+00
  2.8144E-02  9.2988E-02  3.2254E-01  3.8063E-03  1.2699E-04  0.0000E+00  8.9929E-02  3.1078E-01  0.0000E+00
  2.5394E-02  8.7179E-02  3.0515E-01  3.5483E-03  1.3778E-04  0.0000E+00  8.4387E-02  2.9416E-01  0.0000E+00
  2.5394E-02  8.7179E-02  3.0515E-01  3.5483E-03  1.3778E-04  3.1212E-12  8.4387E-02  2.9416E-01  0.0000E+00
  2.3506E-02  8.3102E-02  2.9281E-01  3.3681E-03  1.4386E-04  1.5363E-05  8.0491E-02  2.8236E-01  0.0000E+00
  2.1492E-02  7.8443E-02  2.7856E-01  3.1631E-03  1.4932E-04  3.0759E-05  7.6035E-02  2.6874E-01  0.0000E+00
  1.9660E-02  7.3905E-02  2.6454E-01  2.9645E-03  1.5315E-04  4.3999E-05  7.1689E-02  2.5531E-01  0.0000E+00
  1.8193E-02  7.0041E-02  2.5247E-01  2.7963E-03  1.5528E-04  5.3931E-05  6.7984E-02  2.4375E-01  0.0000E+00
  1.6869E-02  6.6370E-02  2.4090E-01  2.6373E-03  1.5636E-04  6.2240E-05  6.4460E-02  2.3267E-01  0.0000E+00
  1.5874E-02  6.3487E-02  2.3173E-01  2.5130E-03  1.5656E-04  6.8002E-05  6.1689E-02  2.2388E-01  0.0000E+00
  1.4776E-02  6.0176E-02  2.2112E-01  2.3710E-03  1.5611E-04  7.3791E-05  5.8506E-02  2.1370E-01  0.0000E+00
  1.3892E-02  5.7408E-02  2.1217E-01  2.2529E-03  1.5518E-04  7.7955E-05  5.5841E-02  2.0511E-01  0.0000E+00
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  9.7159E-03  4.3044E-02  1.6455E-01  1.6494E-03  1.4205E-04  8.9582E-05  4.1981E-02  1.5936E-01  0.0000E+00
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  8.7968E-03  3.9590E-02  1.5277E-01  1.5069E-03  1.3678E-04  8.9823E-05  3.8638E-02  1.4801E-01  0.0000E+00
  8.3873E-03  3.8017E-02  1.4736E-01  1.4424E-03  1.3410E-04  8.9593E-05  3.7115E-02  1.4280E-01  0.0000E+00
  8.0066E-03  3.6536E-02  1.4223E-01  1.3819E-03  1.3142E-04  8.9179E-05  3.5680E-02  1.3786E-01  0.0000E+00
  7.6636E-03  3.5186E-02  1.3753E-01  1.3270E-03  1.2883E-04  8.8632E-05  3.4371E-02  1.3333E-01  0.0000E+00
  7.3549E-03  3.3958E-02  1.3324E-01  1.2772E-03  1.2637E-04  8.7993E-05  3.3180E-02  1.2919E-01  0.0000E+00
  7.0580E-03  3.2766E-02  1.2905E-01  1.2290E-03  1.2386E-04  8.7242E-05  3.2023E-02  1.2516E-01  0.0000E+00
  6.7786E-03  3.1634E-02  1.2505E-01  1.1833E-03  1.2138E-04  8.6407E-05  3.0924E-02  1.2130E-01  0.0000E+00
  6.5238E-03  3.0593E-02  1.2136E-01  1.1415E-03  1.1902E-04  8.5534E-05  2.9913E-02  1.1774E-01  0.0000E+00
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  5.2138E-02  1.3361E-01  4.5285E-01  5.2515E-03  0.0000E+00  0.0000E+00  1.2960E-01  4.3585E-01  0.0000E+00
  4.5489E-02  1.2533E-01  4.2914E-01  4.8999E-03  0.0000E+00  0.0000E+00  1.2168E-01  4.1326E-01  0.0000E+00
  4.1216E-02  1.1938E-01  4.1188E-01  4.6478E-03  0.0000E+00  0.0000E+00  1.1598E-01  3.9680E-01  0.0000E+00
  3.5588E-02  1.1060E-01  3.8606E-01  4.2770E-03  0.0000E+00  0.0000E+00  1.0756E-01  3.7215E-01  0.0000E+00
  3.5588E-02  1.1060E-01  3.8606E-01  4.2770E-03  5.6093E-11  0.0000E+00  1.0756E-01  3.7215E-01  0.0000E+00
  3.2607E-02  1.0563E-01  3.7123E-01  4.0677E-03  1.7907E-05  0.0000E+00  1.0278E-01  3.5798E-01  0.0000E+00
  2.9583E-02  1.0012E-01  3.5464E-01  3.8370E-03  3.5208E-05  0.0000E+00  9.7489E-02  3.4213E-01  0.0000E+00
  2.7314E-02  9.5637E-02  3.4099E-01  3.6497E-03  4.7764E-05  0.0000E+00  9.3171E-02  3.2908E-01  2.7756E-17
  2.5386E-02  9.1549E-02  3.2844E-01  3.4798E-03  5.8047E-05  0.0000E+00  8.9233E-02  3.1707E-01  0.0000E+00
  2.3564E-02  8.7427E-02  3.1567E-01  3.3091E-03  6.7331E-05  0.0000E+00  8.5258E-02  3.0485E-01  2.7756E-17
  2.2142E-02  8.4015E-02  3.0502E-01  3.1684E-03  7.4213E-05  0.0000E+00  8.1965E-02  2.9465E-01  2.7756E-17
  2.0894E-02  8.0865E-02  2.9511E-01  3.0390E-03  7.9931E-05  0.0000E+00  7.8923E-02  2.8515E-01  0.0000E+00
  1.9981E-02  7.8463E-02  2.8750E-01  2.9408E-03  8.3884E-05  0.0000E+00  7.6602E-02  2.7787E-01  0.0000E+00
  1.8118E-02  7.3301E-02  2.7102E-01  2.7305E-03  9.1226E-05  0.0000E+00  7.1610E-02  2.6205E-01  0.0000E+00
  1.8118E-02  7.3301E-02  2.7102E-01  2.7305E-03  9.1226E-05  2.1268E-12  7.1610E-02  2.6205E-01  0.0000E+00
  1.6829E-02  6.9690E-02  2.5936E-01  2.5843E-03  9.5400E-05  1.0477E-05  6.8114E-02  2.5087E-01  0.0000E+00
  1.5444E-02  6.5579E-02  2.4596E-01  2.4188E-03  9.9185E-05  2.0994E-05  6.4130E-02  2.3801E-01  0.0000E+00
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  1.3152E-02  5.8202E-02  2.2156E-01  2.1245E-03  1.0341E-04  3.6846E-05  5.6974E-02  2.1456E-01  0.0000E+00
  1.2223E-02  5.4996E-02  2.1080E-01  1.9977E-03  1.0423E-04  4.2530E-05  5.3859E-02  2.0421E-01  0.0000E+00
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  1.0741E-02  4.9610E-02  1.9249E-01  1.7864E-03  1.0420E-04  5.0418E-05  4.8621E-02  1.8659E-01  0.0000E+00
  1.0109E-02  4.7212E-02  1.8425E-01  1.6930E-03  1.0361E-04  5.3252E-05  4.6287E-02  1.7866E-01  0.0000E+00
  9.5721E-03  4.5127E-02  1.7703E-01  1.6123E-03  1.0282E-04  5.5373E-05  4.4256E-02  1.7170E-01  0.0000E+00
  8.9429E-03  4.2627E-02  1.6830E-01  1.5159E-03  1.0150E-04  5.7489E-05  4.1820E-02  1.6329E-01  0.0000E+00
  8.3986E-03  4.0416E-02  1.6053E-01  1.4311E-03  1.0000E-04  5.8964E-05  3.9665E-02  1.5579E-01  0.0000E+00
  7.9256E-03  3.8459E-02  1.5360E-01  1.3564E-03  9.8416E-05  5.9956E-05  3.7755E-02  1.4911E-01  0.0000E+00
  7.4851E-03  3.6607E-02  1.4699E-01  1.2861E-03  9.6679E-05  6.0618E-05  3.5948E-02  1.4273E-01  0.0000E+00
  7.0827E-03  3.4889E-02  1.4082E-01  1.2212E-03  9.4863E-05  6.0987E-05  3.4270E-02  1.3677E-01  0.0000E+00
  6.7254E-03  3.3345E-02  1.3524E-01  1.1631E-03  9.3056E-05  6.1112E-05  3.2761E-02  1.3138E-01  0.0000E+00
  6.4079E-03  3.1958E-02  1.3019E-01  1.1110E-03  9.1292E-05  6.1057E-05  3.1405E-02  1.2651E-01  0.0000E+00
  6.1063E-03  3.0627E-02  1.2533E-01  1.0614E-03  8.9471E-05  6.0852E-05  3.0104E-02  1.2181E-01  0.0000E+00
  5.8257E-03  2.9377E-02  1.2073E-01  1.0149E-03  8.7644E-05  6.0520E-05  2.8881E-02  1.1737E-01  0.0000E+00
  5.5727E-03  2.8240E-02  1.1653E-01  9.7270E-04  8.5881E-05  6.0100E-05  2.7768E-02  1.1330E-01  0.0000E+00
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  5.1252E-03  2.6207E-02  1.0897E-01  8.9775E-04  8.2489E-05  5.9059E-05  2.5779E-02  1.0599E-01  0.0000E+00
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  4.7299E-03  2.4389E-02  1.0214E-01  8.3111E-04  7.9180E-05  5.7806E-05  2.3998E-02  9.9378E-02  0.0000E+00
  4.5585E-03  2.3592E-02  9.9125E-02  8.0207E-04  7.7648E-05  5.7158E-05  2.3218E-02  9.6464E-02  0.0000E+00
  4.3920E-03  2.2815E-02  9.6175E-02  7.7380E-04  7.6102E-05  5.6466E-05  2.2456E-02  9.3608E-02  0.0000E+00
  4.2337E-03  2.2073E-02  9.3346E-02  7.4687E-04  7.4579E-05  5.5750E-05  2.1728E-02  9.0868E-02  0.0000E+00
  4.0881E-03  2.1387E-02  9.0721E-02  7.2205E-04  7.3130E-05  5.5040E-05  2.1056E-02  8.8326E-02  0.0000E+00
  3.9546E-03  2.0756E-02  8.8296E-02  6.9927E-04  7.1761E-05  5.4343E-05  2.0437E-02  8.5977E-02  0.0000E+00
  3.8243E-03  2.0135E-02  8.5907E-02  6.7695E-04  7.0382E-05  5.3619E-05  1.9828E-02  8.3661E-02  0.0000E+00
  3.6995E-03  1.9540E-02  8.3603E-02  6.5555E-04  6.9025E-05  5.2885E-05  1.9244E-02  8.1428E-02  0.0000E+00
  3.5840E-03  1.8986E-02  8.1455E-02  6.3572E-04  6.7736E-05  5.2170E-05  1.8700E-02  7.9346E-02  0.0000E+00
  3.4775E-03  1.8474E-02  7.9461E-02  6.1742E-04  6.6517E-05  5.1478E-05  1.8198E-02  7.7413E-02  0.0000E+00
  3.3727E-03  1.7968E-02  7.7488E-02  5.9939E-04  6.5292E-05  5.0767E-05  1.7702E-02  7.5500E-02  0.0000E+00
  3.4821E-02  1.1488E-01  4.1182E-01  4.1592E-03  0.0000E+00  0.0000E+00  1.1247E-01  3.9759E-01  0.0000E+00
  3.0564E-02  1.0736E-01  3.8877E-01  3.8612E-03  0.0000E+00  0.0000E+00  1.0518E-01  3.7554E-01  0.0000E+00
  2.7835E-02  1.0198E-01  3.7206E-01  3.6492E-03  0.0000E+00  0.0000E+00  9.9957E-02  3.5956E-01  0.0000E+00
  2.4242E-02  9.4068E-02  3.4719E-01  3.3397E-03  0.0000E+00  0.0000E+00  9.2272E-02  3.3573E-01  0.0000E+00
  2.4242E-02  9.4068E-02  3.4719E-01  3.3397E-03  3.6077E-11  0.0000E+00  9.2272E-02  3.3573E-01  0.0000E+00
  2.2331E-02  8.9604E-02  3.3297E-01  3.1662E-03  1.1554E-05  0.0000E+00  8.7930E-02  3.2209E-01  0.0000E+00
  2.0388E-02  8.4680E-02  3.1713E-01  2.9759E-03  2.2803E-05  0.0000E+00  8.3138E-02  3.0690E-01  0.0000E+00
  1.8924E-02  8.0682E-02  3.0414E-01  2.8222E-03  3.1030E-05  0.0000E+00  7.9242E-02  2.9443E-01  0.0000E+00
  1.7674E-02  7.7048E-02  2.9223E-01  2.6833E-03  3.7814E-05  0.0000E+00  7.5701E-02  2.8300E-01  0.0000E+00
  1.6488E-02  7.3395E-02  2.8016E-01  2.5444E-03  4.3979E-05  0.0000E+00  7.2137E-02  2.7139E-01  0.0000E+00
  1.5556E-02  7.0379E-02  2.7011E-01  2.4303E-03  4.8578E-05  0.0000E+00  6.9193E-02  2.6174E-01  0.0000E+00
  1.4733E-02  6.7601E-02  2.6079E-01  2.3257E-03  5.2421E-05  0.0000E+00  6.6480E-02  2.5277E-01  0.0000E+00
  1.4128E-02  6.5488E-02  2.5366E-01  2.2465E-03  5.5091E-05  0.0000E+00  6.4416E-02  2.4591E-01  0.0000E+00
  1.2884E-02  6.0959E-02  2.3824E-01  2.0776E-03  6.0083E-05  0.0000E+00  5.9989E-02  2.3107E-01  0.0000E+00
  1.2884E-02  6.0959E-02  2.3824E-01  2.0776E-03  6.0083E-05  1.4437E-12  5.9989E-02  2.3107E-01  0.0000E+00
  1.2011E-02  5.7803E-02  2.2738E-01  1.9608E-03  6.2947E-05  7.1174E-06  5.6901E-02  2.2062E-01  0.0000E+00
  1.1066E-02  5.4220E-02  2.1495E-01  1.8289E-03  6.5568E-05  1.4271E-05  5.3395E-02  2.0863E-01  0.0000E+00
  1.0193E-02  5.0756E-02  2.0280E-01  1.7023E-03  6.7458E-05  2.0436E-05  5.0001E-02  1.9692E-01  0.0000E+00
  9.4813E-03  4.7827E-02  1.9243E-01  1.5960E-03  6.8556E-05  2.5063E-05  4.7130E-02  1.8692E-01  0.0000E+00
  8.8302E-03  4.5062E-02  1.8255E-01  1.4962E-03  6.9164E-05  2.8928E-05  4.4419E-02  1.7738E-01  0.0000E+00
  8.3343E-03  4.2902E-02  1.7478E-01  1.4187E-03  6.9344E-05  3.1602E-05  4.2300E-02  1.6987E-01  0.0000E+00
  7.7804E-03  4.0438E-02  1.6583E-01  1.3308E-03  6.9227E-05  3.4277E-05  3.9881E-02  1.6123E-01  0.0000E+00
  7.3289E-03  3.8389E-02  1.5834E-01  1.2580E-03  6.8863E-05  3.6188E-05  3.7869E-02  1.5399E-01  0.0000E+00
  6.9433E-03  3.6611E-02  1.5179E-01  1.1952E-03  6.8346E-05  3.7611E-05  3.6123E-02  1.4766E-01  0.0000E+00
  6.4891E-03  3.4486E-02  1.4391E-01  1.1206E-03  6.7478E-05  3.9019E-05  3.4034E-02  1.4003E-01  0.0000E+00
  6.0945E-03  3.2612E-02  1.3690E-01  1.0551E-03  6.6480E-05  3.9989E-05  3.2192E-02  1.3325E-01  0.0000E+00
  5.7503E-03  3.0958E-02  1.3067E-01  9.9756E-04  6.5413E-05  4.0628E-05  3.0565E-02  1.2722E-01  0.0000E+00
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  5.1340E-03  2.7953E-02  1.1924E-01  8.9379E-04  6.3012E-05  4.1251E-05  2.7608E-02  1.1615E-01  0.0000E+00
  4.8719E-03  2.6657E-02  1.1426E-01  8.4938E-04  6.1787E-05  4.1296E-05  2.6333E-02  1.1133E-01  0.0000E+00
  4.6386E-03  2.5497E-02  1.0978E-01  8.0974E-04  6.0588E-05  4.1221E-05  2.5189E-02  1.0699E-01  0.0000E+00
  4.4168E-03  2.4385E-02  1.0546E-01  7.7194E-04  5.9349E-05  4.1042E-05  2.4095E-02  1.0280E-01  0.0000E+00
  4.2101E-03  2.3344E-02  1.0140E-01  7.3665E-04  5.8105E-05  4.0778E-05  2.3069E-02  9.8857E-02  0.0000E+00
  4.0235E-03  2.2399E-02  9.7687E-02  7.0473E-04  5.6904E-05  4.0455E-05  2.2137E-02  9.5257E-02  0.0000E+00
  3.8554E-03  2.1542E-02  9.4310E-02  6.7591E-04  5.5756E-05  4.0093E-05  2.1293E-02  9.1979E-02  0.0000E+00
  3.6935E-03  2.0714E-02  9.1029E-02  6.4813E-04  5.4590E-05  3.9678E-05  2.0477E-02  8.8794E-02  0.0000E+00
  3.5410E-03  1.9930E-02  8.7909E-02  6.2193E-04  5.3436E-05  3.9227E-05  1.9704E-02  8.5766E-02  0.0000E+00
  3.4019E-03  1.9212E-02  8.5039E-02  5.9801E-04  5.2334E-05  3.8761E-05  1.8996E-02  8.2978E-02  0.0000E+00
  3.2753E-03  1.8556E-02  8.2406E-02  5.7622E-04  5.1289E-05  3.8292E-05  1.8349E-02  8.0422E-02  0.0000E+00
  3.1525E-03  1.7917E-02  7.9831E-02  5.5505E-04  5.0235E-05  3.7793E-05  1.7719E-02  7.7920E-02  0.0000E+00
  3.0357E-03  1.7308E-02  7.7366E-02  5.3491E-04  4.9197E-05  3.7278E-05  1.7118E-02  7.5524E-02  0.0000E+00
  2.9284E-03  1.6746E-02  7.5082E-02  5.1638E-04  4.8209E-05  3.6770E-05  1.6563E-02  7.3305E-02  0.0000E+00
  2.8301E-03  1.6229E-02  7.2976E-02  4.9940E-04  4.7276E-05  3.6273E-05  1.6053E-02  7.1258E-02  0.0000E+00
  2.7340E-03  1.5723E-02  7.0904E-02  4.8279E-04  4.6337E-05  3.5757E-05  1.5553E-02  6.9243E-02  0.0000E+00
  2.6421E-03  1.5236E-02  6.8909E-02  4.6689E-04  4.5413E-05  3.5236E-05  1.5073E-02  6.7303E-02  0.0000E+00
  2.5571E-03  1.4785E-02  6.7051E-02  4.5217E-04  4.4536E-05  3.4730E-05  1.4628E-02  6.5497E-02  0.0000E+00
  2.4787E-03  1.4369E-02  6.5330E-02  4.3861E-04  4.3707E-05  3.4241E-05  1.4216E-02  6.3823E-02  0.0000E+00
  2.4018E-03  1.3958E-02  6.3628E-02  4.2527E-04  4.2874E-05  3.3740E-05  1.3811E-02  6.2167E-02  0.0000E+00
  2.2674E-02  9.7658E-02  3.7059E-01  3.2493E-03  0.0000E+00  0.0000E+00  9.6312E-02  3.5894E-01  0.0000E+00
  2.0111E-02  9.0919E-02  3.4850E-01  3.0020E-03  0.0000E+00  0.0000E+00  8.9709E-02  3.3773E-01  0.0000E+00
  1.8466E-02  8.6115E-02  3.3257E-01  2.8272E-03  0.0000E+00  0.0000E+00  8.4998E-02  3.2242E-01  0.0000E+00
  1.6291E-02  7.9085E-02  3.0895E-01  2.5736E-03  0.0000E+00  0.0000E+00  7.8098E-02  2.9970E-01  0.0000E+00
  1.6291E-02  7.9085E-02  3.0895E-01  2.5736E-03  2.2946E-11  0.0000E+00  7.8098E-02  2.9970E-01  0.0000E+00
  1.5120E-02  7.5133E-02  2.9551E-01  2.4323E-03  7.3792E-06  0.0000E+00  7.4217E-02  2.8677E-01  0.0000E+00
  1.3921E-02  7.0789E-02  2.8059E-01  2.2781E-03  1.4636E-05  0.0000E+00  6.9947E-02  2.7240E-01  0.0000E+00
  1.3010E-02  6.7272E-02  2.6839E-01  2.1541E-03  1.9993E-05  0.0000E+00  6.6489E-02  2.6065E-01  0.0000E+00
  1.2225E-02  6.4086E-02  2.5725E-01  2.0425E-03  2.4445E-05  0.0000E+00  6.3355E-02  2.4991E-01  0.0000E+00
  1.1472E-02  6.0891E-02  2.4599E-01  1.9313E-03  2.8522E-05  0.0000E+00  6.0211E-02  2.3905E-01  0.0000E+00
  1.0875E-02  5.8261E-02  2.3665E-01  1.8402E-03  3.1583E-05  0.0000E+00  5.7621E-02  2.3003E-01  0.0000E+00
  1.0343E-02  5.5844E-02  2.2800E-01  1.7570E-03  3.4156E-05  0.0000E+00  5.5240E-02  2.2168E-01  0.0000E+00
  9.9486E-03  5.4010E-02  2.2140E-01  1.6942E-03  3.5953E-05  0.0000E+00  5.3433E-02  2.1531E-01  0.0000E+00
  9.1274E-03  5.0090E-02  2.0718E-01  1.5606E-03  3.9334E-05  0.0000E+00  4.9569E-02  2.0157E-01  0.0000E+00
  9.1274E-03  5.0090E-02  2.0718E-01  1.5606E-03  3.9334E-05  9.7465E-13  4.9569E-02  2.0157E-01  0.0000E+00
  8.5418E-03  4.7368E-02  1.9720E-01  1.4686E-03  4.1290E-05  4.8076E-06  4.6885E-02  1.9192E-01  0.0000E+00
  7.9003E-03  4.4289E-02  1.8581E-01  1.3652E-03  4.3093E-05  9.6440E-06  4.3847E-02  1.8091E-01  0.0000E+00
  7.3001E-03  4.1322E-02  1.7473E-01  1.2663E-03  4.4407E-05  1.3812E-05  4.0919E-02  1.7018E-01  0.0000E+00
  6.8061E-03  3.8822E-02  1.6531E-01  1.1835E-03  4.5180E-05  1.6937E-05  3.8451E-02  1.6106E-01  0.0000E+00
  6.3498E-03  3.6470E-02  1.5636E-01  1.1061E-03  4.5620E-05  1.9543E-05  3.6127E-02  1.5239E-01  0.0000E+00
  5.9996E-03  3.4638E-02  1.4934E-01  1.0462E-03  4.5762E-05  2.1340E-05  3.4318E-02  1.4559E-01  0.0000E+00
  5.6059E-03  3.2554E-02  1.4129E-01  9.7843E-04  4.5703E-05  2.3132E-05  3.2258E-02  1.3779E-01  0.0000E+00
  5.2830E-03  3.0827E-02  1.3457E-01  9.2256E-04  4.5471E-05  2.4405E-05  3.0551E-02  1.3126E-01  0.0000E+00
  5.0059E-03  2.9332E-02  1.2871E-01  8.7446E-04  4.5132E-05  2.5346E-05  2.9072E-02  1.2558E-01  0.0000E+00
  4.6781E-03  2.7550E-02  1.2168E-01  8.1742E-04  4.4553E-05  2.6268E-05  2.7310E-02  1.1875E-01  0.0000E+00
  4.3921E-03  2.5984E-02  1.1545E-01  7.6756E-04  4.3882E-05  2.6892E-05  2.5761E-02  1.1270E-01  0.0000E+00
  4.1418E-03  2.4605E-02  1.0993E-01  7.2390E-04  4.3162E-05  2.7293E-05  2.4396E-02  1.0734E-01  0.0000E+00
  3.9075E-03  2.3307E-02  1.0469E-01  6.8300E-04  4.2369E-05  2.7538E-05  2.3112E-02  1.0225E-01  0.0000E+00
  3.6923E-03  2.2109E-02  9.9831E-02  6.4544E-04  4.1535E-05  2.7647E-05  2.1926E-02  9.7526E-02  0.0000E+00
  3.5007E-03  2.1038E-02  9.5456E-02  6.1199E-04  4.0702E-05  2.7646E-05  2.0865E-02  9.3272E-02  0.0000E+00
  3.3299E-03  2.0080E-02  9.1522E-02  5.8220E-04  3.9887E-05  2.7565E-05  1.9917E-02  8.9446E-02  0.0000E+00
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  3.0160E-03  1.8310E-02  8.4193E-02  5.2746E-04  3.8198E-05  2.7205E-05  1.8164E-02  8.2315E-02  0.0000E+00
  2.8793E-03  1.7535E-02  8.0960E-02  5.0364E-04  3.7382E-05  2.6959E-05  1.7396E-02  7.9167E-02  0.0000E+00
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  2.6374E-03  1.6158E-02  7.5175E-02  4.6152E-04  3.5808E-05  2.6383E-05  1.6032E-02  7.3534E-02  0.0000E+00
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  2.4238E-03  1.4936E-02  6.9991E-02  4.2436E-04  3.4275E-05  2.5717E-05  1.4820E-02  6.8484E-02  0.0000E+00
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  2.0774E-03  1.2938E-02  6.1420E-02  3.6416E-04  3.1476E-05  2.4294E-05  1.2840E-02  6.0130E-02  0.0000E+00
  2.0056E-03  1.2521E-02  5.9615E-02  3.5168E-04  3.0844E-05  2.3942E-05  1.2427E-02  5.8369E-02  0.0000E+00
  1.9354E-03  1.2113E-02  5.7841E-02  3.3950E-04  3.0208E-05  2.3579E-05  1.2022E-02  5.6639E-02  0.0000E+00
  1.8684E-03  1.1722E-02  5.6136E-02  3.2786E-04  2.9583E-05  2.3213E-05  1.1634E-02  5.4976E-02  0.0000E+00
  1.8064E-03  1.1360E-02  5.4551E-02  3.1710E-04  2.8989E-05  2.2857E-05  1.1275E-02  5.3430E-02  0.0000E+00
  1.7494E-03  1.1026E-02  5.3084E-02  3.0720E-04  2.8430E-05  2.2515E-05  1.0944E-02  5.1998E-02  0.0000E+00
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  1.4384E-02  8.1983E-02  3.2980E-01  2.5007E-03  0.0000E+00  0.0000E+00  8.1297E-02  3.2049E-01  0.0000E+00
  1.2970E-02  7.6030E-02  3.0894E-01  2.2996E-03  0.0000E+00  0.0000E+00  7.5416E-02  3.0037E-01  0.0000E+00
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  1.0826E-02  6.5643E-02  2.7184E-01  1.9544E-03  0.0000E+00  0.0000E+00  6.5146E-02  2.6455E-01  0.0000E+00
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  9.4417E-03  5.8416E-02  2.4545E-01  1.7188E-03  9.3378E-06  0.0000E+00  5.7994E-02  2.3905E-01  0.0000E+00
  8.8960E-03  5.5368E-02  2.3416E-01  1.6206E-03  1.2812E-05  0.0000E+00  5.4976E-02  2.2813E-01  0.0000E+00
  8.4182E-03  5.2613E-02  2.2389E-01  1.5325E-03  1.5724E-05  0.0000E+00  5.2248E-02  2.1818E-01  0.0000E+00
  7.9524E-03  4.9860E-02  2.1353E-01  1.4449E-03  1.8411E-05  0.0000E+00  4.9520E-02  2.0815E-01  0.0000E+00
  7.5773E-03  4.7599E-02  2.0496E-01  1.3735E-03  2.0441E-05  0.0000E+00  4.7279E-02  1.9985E-01  0.0000E+00
  7.2382E-03  4.5527E-02  1.9705E-01  1.3084E-03  2.2157E-05  0.0000E+00  4.5225E-02  1.9218E-01  0.0000E+00
  6.9839E-03  4.3957E-02  1.9102E-01  1.2593E-03  2.3361E-05  0.0000E+00  4.3669E-02  1.8634E-01  0.0000E+00
  6.4459E-03  4.0613E-02  1.7808E-01  1.1555E-03  2.5637E-05  0.0000E+00  4.0353E-02  1.7379E-01  0.0000E+00
  6.4459E-03  4.0613E-02  1.7808E-01  1.1555E-03  2.5637E-05  6.5435E-13  4.0353E-02  1.7379E-01  0.0000E+00
  6.0540E-03  3.8300E-02  1.6904E-01  1.0842E-03  2.6962E-05  3.2285E-06  3.8058E-02  1.6502E-01  0.0000E+00
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  1.7083E-03  1.1442E-02  5.6884E-02  2.9660E-04  2.2235E-05  1.6869E-05  1.1381E-02  5.5807E-02  0.0000E+00
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  1.5139E-03  1.0210E-02  5.1268E-02  2.6278E-04  2.0798E-05  1.6117E-05  1.0156E-02  5.0316E-02  0.0000E+00
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  7.7365E-03  5.9040E-02  2.5675E-01  1.6205E-03  0.0000E+00  0.0000E+00  5.8787E-02  2.5054E-01  0.0000E+00
  7.1132E-03  5.3724E-02  2.3634E-01  1.4600E-03  0.0000E+00  0.0000E+00  5.3501E-02  2.3074E-01  0.0000E+00
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  6.7493E-03  5.0760E-02  2.2483E-01  1.3715E-03  2.9438E-06  0.0000E+00  5.0553E-02  2.1957E-01  0.0000E+00
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  5.2549E-03  3.8327E-02  1.7535E-01  1.0084E-03  1.3135E-05  0.0000E+00  3.8181E-02  1.7150E-01  0.0000E+00
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  4.8792E-03  3.5255E-02  1.6279E-01  9.2076E-04  1.5068E-05  0.0000E+00  3.5123E-02  1.5928E-01  0.0000E+00
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  4.5285E-03  3.2447E-02  1.5118E-01  8.4145E-04  1.6583E-05  4.3519E-13  3.2326E-02  1.4798E-01  0.0000E+00
  4.2666E-03  3.0511E-02  1.4310E-01  7.8722E-04  1.7468E-05  2.1470E-06  3.0399E-02  1.4011E-01  0.0000E+00
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  3.4149E-05  6.8251E-03  5.6647E-02  7.8948E-05  0.0000E+00  0.0000E+00  6.7859E-03  5.6370E-02  0.0000E+00
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  1.7378E-04  4.8196E-03  4.1310E-02  5.4267E-05  0.0000E+00  0.0000E+00  4.7909E-03  4.1122E-02  0.0000E+00
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  1.7084E-04  3.1484E-03  2.8017E-02  3.4410E-05  1.1838E-07  0.0000E+00  3.1288E-03  2.7899E-02  0.0000E+00
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  8.7321E-05  1.2775E-03  1.2235E-02  1.3223E-05  1.8406E-07  1.0040E-07  1.2690E-03  1.2191E-02  0.0000E+00
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  4.8946E-05  6.8586E-04  6.8824E-03  6.8818E-06  1.6415E-07  1.1987E-07  6.8110E-04  6.8600E-03  0.0000E+00
  4.5233E-05  6.3174E-04  6.3771E-03  6.3159E-06  1.6077E-07  1.1978E-07  6.2733E-04  6.3566E-03  0.0000E+00
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  2.2568E-05  3.0778E-04  3.2660E-03  3.0069E-06  1.3757E-07  1.1516E-07  3.0552E-04  3.2565E-03  0.0000E+00
  2.1401E-05  2.9116E-04  3.1012E-03  2.8422E-06  1.3659E-07  1.1509E-07  2.8902E-04  3.0922E-03  0.0000E+00
  2.0348E-05  2.7616E-04  2.9517E-03  2.6939E-06  1.3579E-07  1.1512E-07  2.7412E-04  2.9433E-03  0.0000E+00
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  1.8493E-05  2.4967E-04  2.6863E-03  2.4337E-06  1.3458E-07  1.1537E-07  2.4780E-04  2.6788E-03  0.0000E+00
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  5.4647E-05  3.8264E-03  3.6468E-02  3.7968E-05  0.0000E+00  0.0000E+00  3.8003E-03  3.6342E-02  0.0000E+00
  7.2756E-05  3.4817E-03  3.3462E-02  3.4309E-05  0.0000E+00  0.0000E+00  3.4578E-03  3.3349E-02  0.0000E+00
  7.9015E-05  3.0042E-03  2.9250E-02  2.9293E-05  0.0000E+00  0.0000E+00  2.9835E-03  2.9153E-02  0.0000E+00
  7.9015E-05  3.0042E-03  2.9250E-02  2.9293E-05  2.4699E-14  0.0000E+00  2.9835E-03  2.9153E-02  0.0000E+00
  7.9015E-05  2.7500E-03  2.6980E-02  2.6648E-05  8.0140E-09  0.0000E+00  2.7309E-03  2.6892E-02  0.0000E+00
  7.9015E-05  2.4823E-03  2.4567E-02  2.3884E-05  1.6109E-08  0.0000E+00  2.4650E-03  2.4489E-02  0.0000E+00
  7.9015E-05  2.2746E-03  2.2679E-02  2.1756E-05  2.2290E-08  0.0000E+00  2.2587E-03  2.2608E-02  0.0000E+00
  7.8564E-05  2.0935E-03  2.1019E-02  1.9913E-05  2.7618E-08  0.0000E+00  2.0788E-03  2.0954E-02  0.0000E+00
  7.7286E-05  1.9186E-03  1.9403E-02  1.8145E-05  3.2685E-08  0.0000E+00  1.9051E-03  1.9344E-02  0.0000E+00
  7.5793E-05  1.7797E-03  1.8110E-02  1.6749E-05  3.6641E-08  0.0000E+00  1.7671E-03  1.8056E-02  0.0000E+00
  7.4150E-05  1.6562E-03  1.6952E-02  1.5515E-05  4.0104E-08  0.0000E+00  1.6444E-03  1.6902E-02  0.0000E+00
  7.2463E-05  1.5651E-03  1.6093E-02  1.4609E-05  4.2621E-08  0.0000E+00  1.5539E-03  1.6045E-02  0.0000E+00
  6.7789E-05  1.3779E-03  1.4313E-02  1.2761E-05  4.7639E-08  0.0000E+00  1.3680E-03  1.4272E-02  0.0000E+00
  6.7789E-05  1.3779E-03  1.4313E-02  1.2761E-05  4.7639E-08  1.5369E-15  1.3680E-03  1.4272E-02  0.0000E+00
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  5.8699E-05  1.1201E-03  1.1827E-02  1.0246E-05  5.3927E-08  1.5079E-08  1.1120E-03  1.1794E-02  0.0000E+00
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  9.9297E-06  1.4900E-04  1.8132E-03  1.2862E-06  8.4755E-08  7.2071E-08  1.4781E-04  1.8094E-03  0.0000E+00
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  1.3920E-05  1.4268E-03  1.6353E-02  1.1694E-05  1.9442E-09  0.0000E+00  1.4160E-03  1.6317E-02  0.0000E+00
  1.3920E-05  1.3011E-03  1.5024E-02  1.0600E-05  2.8966E-09  0.0000E+00  1.2912E-03  1.4992E-02  0.0000E+00
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  1.7969E-09  9.8132E-07  3.0418E-05  1.5150E-07  1.4725E-07  1.3226E-07  8.2806E-07  3.0264E-05  0.0000E+00
  1.7969E-09  9.2929E-07  2.8443E-05  1.5632E-07  1.5230E-07  1.3775E-07  7.7133E-07  2.8285E-05  0.0000E+00
  1.7969E-09  8.8076E-07  2.6579E-05  1.6129E-07  1.5749E-07  1.4338E-07  7.1795E-07  2.6416E-05  0.0000E+00
  1.7969E-09  8.3640E-07  2.4856E-05  1.6621E-07  1.6262E-07  1.4894E-07  6.6877E-07  2.4688E-05  0.0000E+00
  1.7969E-09  7.9723E-07  2.3316E-05  1.7096E-07  1.6756E-07  1.5428E-07  6.2495E-07  2.3143E-05  0.0000E+00
  1.7969E-09  7.6276E-07  2.1942E-05  1.7555E-07  1.7231E-07  1.5941E-07  5.8597E-07  2.1764E-05  0.0000E+00
  1.7969E-09  7.3048E-07  2.0634E-05  1.8034E-07  1.7727E-07  1.6475E-07  5.4897E-07  2.0451E-05  0.0000E+00
  4.8357E-11  1.5885E-05  7.0130E-04  3.4927E-08  0.0000E+00  0.0000E+00  1.5821E-05  7.0123E-04  0.0000E+00
  4.8357E-11  1.3108E-05  5.8525E-04  2.8928E-08  0.0000E+00  0.0000E+00  1.3055E-05  5.8519E-04  0.0000E+00
  4.8357E-11  1.1338E-05  5.1046E-04  2.5555E-08  0.0000E+00  0.0000E+00  1.1291E-05  5.1041E-04  0.0000E+00
  4.8357E-11  9.0424E-06  4.1235E-04  2.1904E-08  0.0000E+00  0.0000E+00  9.0039E-06  4.1231E-04  0.0000E+00
  4.8357E-11  9.0424E-06  4.1235E-04  2.1904E-08  8.9126E-17  0.0000E+00  9.0039E-06  4.1231E-04  0.0000E+00
  4.8357E-11  7.8983E-06  3.6287E-04  2.0635E-08  3.2035E-10  0.0000E+00  7.8632E-06  3.6283E-04  0.0000E+00
  4.8357E-11  6.7552E-06  3.1295E-04  2.0273E-08  1.5872E-09  0.0000E+00  6.7226E-06  3.1291E-04  0.0000E+00
  4.8357E-11  5.9139E-06  2.7586E-04  2.0735E-08  3.2891E-09  0.0000E+00  5.8824E-06  2.7582E-04  0.0000E+00
  4.8357E-11  5.2138E-06  2.4472E-04  2.1715E-08  5.3394E-09  0.0000E+00  5.1826E-06  2.4469E-04  0.0000E+00
  4.8357E-11  4.5686E-06  2.1579E-04  2.3204E-08  7.8591E-09  0.0000E+00  4.5372E-06  2.1576E-04  0.0000E+00
  4.8357E-11  4.0786E-06  1.9364E-04  2.4791E-08  1.0267E-08  0.0000E+00  4.0465E-06  1.9360E-04  0.0000E+00
  4.8357E-11  3.6600E-06  1.7457E-04  2.6524E-08  1.2735E-08  0.0000E+00  3.6269E-06  1.7454E-04  0.0000E+00
  4.8357E-11  3.3620E-06  1.6091E-04  2.8088E-08  1.4846E-08  0.0000E+00  3.3279E-06  1.6087E-04  0.0000E+00
  4.8357E-11  2.7800E-06  1.3395E-04  3.2581E-08  2.0482E-08  0.0000E+00  2.7425E-06  1.3391E-04  0.0000E+00
  4.8357E-11  2.7800E-06  1.3395E-04  3.2581E-08  2.0482E-08  2.6570E-17  2.7425E-06  1.3391E-04  0.0000E+00
  4.8357E-11  2.4184E-06  1.1699E-04  3.6577E-08  2.5256E-08  7.0173E-10  2.3776E-06  1.1695E-04  0.0000E+00
  4.8357E-11  2.0490E-06  9.9461E-05  4.1846E-08  3.1392E-08  3.0834E-09  2.0036E-06  9.9415E-05  0.0000E+00
  4.8357E-11  1.7313E-06  8.4181E-05  4.7618E-08  3.7989E-08  6.9314E-09  1.6807E-06  8.4130E-05  0.0000E+00
  4.8357E-11  1.4913E-06  7.2487E-05  5.3057E-08  4.4117E-08  1.1411E-08  1.4358E-06  7.2430E-05  0.0000E+00
  4.8357E-11  1.2883E-06  6.2436E-05  5.9253E-08  5.0958E-08  1.7258E-08  1.2269E-06  6.2374E-05  0.0000E+00
  4.8357E-11  1.1450E-06  5.5230E-05  6.4816E-08  5.7022E-08  2.2922E-08  1.0783E-06  5.5163E-05  0.0000E+00
  4.8357E-11  9.9696E-07  4.7669E-05  7.1844E-08  6.4616E-08  3.0454E-08  9.2352E-07  4.7595E-05  0.0000E+00
  4.8357E-11  8.8585E-07  4.1903E-05  7.8156E-08  7.1396E-08  3.7496E-08  8.0630E-07  4.1823E-05  0.0000E+00
  4.8357E-11  7.9792E-07  3.7269E-05  8.3964E-08  7.7609E-08  4.4160E-08  7.1273E-07  3.7184E-05  0.0000E+00
  4.8357E-11  7.0267E-07  3.2165E-05  9.1292E-08  8.5417E-08  5.2771E-08  6.1033E-07  3.2072E-05  0.0000E+00
  4.8357E-11  6.2753E-07  2.8047E-05  9.8317E-08  9.2861E-08  6.1155E-08  5.2831E-07  2.7947E-05  0.0000E+00
  4.8357E-11  5.6789E-07  2.4697E-05  1.0509E-07  9.9998E-08  6.9294E-08  4.6202E-07  2.4591E-05  0.0000E+00
  4.8357E-11  5.1725E-07  2.1774E-05  1.1201E-07  1.0727E-07  7.7651E-08  4.0455E-07  2.1661E-05  0.0000E+00
  4.8357E-11  4.7511E-07  1.9270E-05  1.1891E-07  1.1448E-07  8.5989E-08  3.5560E-07  1.9150E-05  0.0000E+00
  4.8357E-11  4.3978E-07  1.7183E-05  1.2420E-07  1.2005E-07  9.2654E-08  3.1505E-07  1.7058E-05  0.0000E+00
  4.8357E-11  4.0350E-07  1.5429E-05  1.2174E-07  1.1784E-07  9.1495E-08  2.8129E-07  1.5306E-05  0.0000E+00
  4.8357E-11  3.7404E-07  1.3859E-05  1.2242E-07  1.1876E-07  9.3483E-08  2.5120E-07  1.3736E-05  0.0000E+00
  4.8357E-11  3.5127E-07  1.2484E-05  1.2599E-07  1.2254E-07  9.8312E-08  2.2490E-07  1.2358E-05  0.0000E+00
  4.8357E-11  3.3401E-07  1.1313E-05  1.3109E-07  1.2785E-07  1.0460E-07  2.0259E-07  1.1182E-05  0.0000E+00
  4.8357E-11  3.2134E-07  1.0315E-05  1.3742E-07  1.3435E-07  1.1203E-07  1.8362E-07  1.0177E-05  0.0000E+00
  4.8357E-11  3.1171E-07  9.4050E-06  1.4508E-07  1.4217E-07  1.2077E-07  1.6636E-07  9.2596E-06  0.0000E+00
  4.8357E-11  3.1026E-07  8.5984E-06  1.5901E-07  1.5626E-07  1.3575E-07  1.5100E-07  8.4391E-06  0.0000E+00
  4.8357E-11  3.4158E-07  7.9312E-06  2.0362E-07  2.0102E-07  1.8133E-07  1.3773E-07  7.7273E-06  0.0000E+00
  4.8357E-11  3.7963E-07  7.3632E-06  2.5315E-07  2.5068E-07  2.3176E-07  1.2627E-07  7.1098E-06  0.0000E+00
  4.8357E-11  4.1237E-07  6.8346E-06  2.9649E-07  2.9414E-07  2.7599E-07  1.1569E-07  6.5378E-06  0.0000E+00
  4.8357E-11  4.4468E-07  6.3574E-06  3.3838E-07  3.3615E-07  3.1872E-07  1.0613E-07  6.0188E-06  0.0000E+00
  4.8357E-11  4.7074E-07  5.9354E-06  3.7283E-07  3.7071E-07  3.5397E-07  9.7752E-08  5.5624E-06  0.0000E+00
  4.8357E-11  4.9756E-07  5.5692E-06  4.0699E-07  4.0496E-07  3.8885E-07  9.0429E-08  5.1620E-06  0.0000E+00
  4.8357E-11  5.1943E-07  5.2225E-06  4.3571E-07  4.3378E-07  4.1830E-07  8.3586E-08  4.7867E-06  0.0000E+00
  4.8357E-11  5.4333E-07  4.9082E-06  4.6588E-07  4.6403E-07  4.4915E-07  7.7327E-08  4.4421E-06  0.0000E+00
  4.8357E-11  5.6737E-07  4.6318E-06  4.9547E-07  4.9371E-07  4.7938E-07  7.1787E-08  4.1362E-06  0.0000E+00
  4.8357E-11  6.0639E-07  4.4045E-06  5.3939E-07  5.3771E-07  5.2391E-07  6.6891E-08  3.8650E-06  0.0000E+00
  4.8357E-11  6.4036E-07  4.1866E-06  5.7799E-07  5.7638E-07  5.6309E-07  6.2274E-08  3.6085E-06  0.0000E+00
  9.8533E-14  8.9249E-07  8.5940E-05  9.6785E-10  0.0000E+00  0.0000E+00  8.9060E-07  8.5938E-05  0.0000E+00
  9.8533E-14  7.1515E-07  6.9506E-05  1.6201E-09  0.0000E+00  0.0000E+00  7.1279E-07  6.9504E-05  0.0000E+00
  9.8533E-14  6.0615E-07  5.9212E-05  3.0303E-09  0.0000E+00  0.0000E+00  6.0250E-07  5.9208E-05  0.0000E+00
  9.8533E-14  4.7036E-07  4.6111E-05  6.2862E-09  0.0000E+00  0.0000E+00  4.6360E-07  4.6104E-05  0.0000E+00
  9.8533E-14  4.7036E-07  4.6111E-05  6.2862E-09  2.4288E-16  0.0000E+00  4.6360E-07  4.6104E-05  0.0000E+00
  9.8533E-14  4.0552E-07  3.9702E-05  8.7674E-09  5.6465E-10  0.0000E+00  3.9635E-07  3.9693E-05  0.0000E+00
  9.8533E-14  3.4349E-07  3.3391E-05  1.2514E-08  2.7292E-09  0.0000E+00  3.3064E-07  3.3378E-05  0.0000E+00
  9.8533E-14  3.0014E-07  2.8814E-05  1.6517E-08  5.8002E-09  0.0000E+00  2.8334E-07  2.8797E-05  0.0000E+00
  9.8533E-14  2.6597E-07  2.5054E-05  2.0971E-08  9.6502E-09  0.0000E+00  2.4476E-07  2.5032E-05  0.0000E+00
  9.8533E-14  2.3635E-07  2.1634E-05  2.6243E-08  1.4526E-08  0.0000E+00  2.0989E-07  2.1607E-05  0.0000E+00
  9.8533E-14  2.1526E-07  1.9068E-05  3.1177E-08  1.9281E-08  0.0000E+00  1.8390E-07  1.9037E-05  0.0000E+00
  9.8533E-14  1.9839E-07  1.6902E-05  3.6165E-08  2.4212E-08  0.0000E+00  1.6206E-07  1.6865E-05  0.0000E+00
  9.8533E-14  1.8227E-07  1.5369E-05  3.5386E-08  2.3457E-08  0.0000E+00  1.4674E-07  1.5333E-05  0.0000E+00
  9.8533E-14  1.5780E-07  1.2418E-05  4.0310E-08  2.8614E-08  0.0000E+00  1.1738E-07  1.2377E-05  0.0000E+00
  9.8533E-14  1.5780E-07  1.2418E-05  4.0310E-08  2.8614E-08 -1.5082E-15  1.1738E-07  1.2377E-05  0.0000E+00
  9.8533E-14  1.5123E-07  1.0619E-05  5.1575E-08  4.0180E-08 -6.6323E-09  9.9553E-08  1.0568E-05  0.0000E+00
  9.8533E-14  1.5093E-07  8.8128E-06  6.9117E-08  5.8187E-08 -3.7272E-09  8.1729E-08  8.7436E-06  0.0000E+00
  9.8533E-14  1.5421E-07  7.2846E-06  8.7399E-08  7.7037E-08  5.3642E-09  6.6744E-08  7.1972E-06  0.0000E+00
  9.8533E-14  2.0794E-07  6.1971E-06  1.5221E-07  1.4241E-07  6.5868E-08  5.5667E-08  6.0448E-06  0.0000E+00
  9.8533E-14  3.2213E-07  5.3545E-06  2.7563E-07  2.6642E-07  1.8784E-07  4.6451E-08  5.0788E-06  0.0000E+00
  9.8533E-14  3.9668E-07  4.7586E-06  3.5661E-07  3.4789E-07  2.6928E-07  4.0037E-08  4.4019E-06  0.0000E+00
  9.8533E-14  4.7602E-07  4.1498E-06  4.4249E-07  4.3437E-07  3.5721E-07  3.3497E-08  3.7073E-06  0.0000E+00
  9.8533E-14  5.3131E-07  3.6922E-06  5.0263E-07  4.9503E-07  4.2017E-07  2.8655E-08  3.1896E-06  0.0000E+00
  9.8533E-14  5.7311E-07  3.3302E-06  5.4822E-07  5.4109E-07  4.6890E-07  2.4865E-08  2.7820E-06  0.0000E+00
  9.8533E-14  6.3284E-07  2.9546E-06  6.1201E-07  6.0546E-07  5.3720E-07  2.0805E-08  2.3426E-06  0.0000E+00
  9.8533E-14  6.8201E-07  2.6606E-06  6.6437E-07  6.5832E-07  5.9410E-07  1.7625E-08  1.9962E-06  0.0000E+00
  9.8533E-14  7.1290E-07  2.4183E-06  6.9778E-07  6.9219E-07  6.3188E-07  1.5110E-08  1.7205E-06  0.0000E+00
  9.8533E-14  7.4595E-07  2.2179E-06  7.3296E-07  7.2781E-07  6.7145E-07  1.2972E-08  1.4849E-06  0.0000E+00
  9.8533E-14  7.7139E-07  2.0472E-06  7.6020E-07  7.5544E-07  7.0291E-07  1.1187E-08  1.2870E-06  0.0000E+00
  9.8533E-14  7.9156E-07  1.9072E-06  7.8181E-07  7.7741E-07  7.2842E-07  9.7356E-09  1.1253E-06  0.0000E+00
  9.8533E-14  8.0662E-07  1.7905E-06  7.9807E-07  7.9398E-07  7.4821E-07  8.5484E-09  9.9242E-07  0.0000E+00
  9.8533E-14  8.1965E-07  1.6875E-06  8.1214E-07  8.0834E-07  7.6569E-07  7.5079E-09  8.7538E-07  0.0000E+00
  9.8533E-14  8.3176E-07  1.5995E-06  8.2514E-07  8.2162E-07  7.8190E-07  6.6138E-09  7.7436E-07  0.0000E+00
  9.8533E-14  8.4294E-07  1.5267E-06  8.3707E-07  8.3380E-07  7.9673E-07  5.8670E-09  6.8961E-07  0.0000E+00
  9.8533E-14  8.4944E-07  1.4626E-06  8.4419E-07  8.4114E-07  8.0646E-07  5.2419E-09  6.1837E-07  0.0000E+00
  9.8533E-14  8.5345E-07  1.4030E-06  8.4877E-07  8.4592E-07  8.1353E-07  4.6813E-09  5.5424E-07  0.0000E+00
  9.8533E-14  8.6223E-07  1.3558E-06  8.5804E-07  8.5538E-07  8.2514E-07  4.1896E-09  4.9778E-07  0.0000E+00
  9.8533E-14  8.6507E-07  1.3108E-06  8.6129E-07  8.5881E-07  8.3050E-07  3.7707E-09  4.4950E-07  0.0000E+00
  9.8533E-14  8.7080E-07  1.2756E-06  8.6738E-07  8.6505E-07  8.3848E-07  3.4135E-09  4.0819E-07  0.0000E+00
  9.8533E-14  8.7119E-07  1.2385E-06  8.6810E-07  8.6592E-07  8.4101E-07  3.0881E-09  3.7043E-07  0.0000E+00
  9.8533E-14  8.7652E-07  1.2103E-06  8.7372E-07  8.7168E-07  8.4833E-07  2.7977E-09  3.3662E-07  0.0000E+00
  9.8533E-14  8.7498E-07  1.1797E-06  8.7243E-07  8.7051E-07  8.4857E-07  2.5465E-09  3.0727E-07  0.0000E+00
  9.8533E-14  8.7957E-07  1.1591E-06  8.7724E-07  8.7543E-07  8.5477E-07  2.3294E-09  2.8184E-07  0.0000E+00
  9.8533E-14  8.7694E-07  1.1331E-06  8.7481E-07  8.7311E-07  8.5366E-07  2.1288E-09  2.5828E-07  0.0000E+00
  9.8533E-14  8.8104E-07  1.1160E-06  8.7909E-07  8.7749E-07  8.5919E-07  1.9475E-09  2.3691E-07  0.0000E+00
  9.8533E-14  8.8404E-07  1.1004E-06  8.8225E-07  8.8074E-07  8.6349E-07  1.7887E-09  2.1815E-07  0.0000E+00
  9.8533E-14  8.8066E-07  1.0807E-06  8.7900E-07  8.7757E-07  8.6126E-07  1.6499E-09  2.0171E-07  0.0000E+00
  9.8533E-14  8.8354E-07  1.0683E-06  8.8202E-07  8.8067E-07  8.6527E-07  1.5204E-09  1.8632E-07  0.0000E+00
pythia8-8.1.86.orig/xmldoc/RIVETusage.xml0000444000175000017500000000547412357055027016303 0ustar  sunsun 
 

    RIVET usage
     
 
RIVET is a toolkit for 
the validation of Monte Carlo event generators Buc10. It 
contains the results of many experimental analyses, so that generator 
output can easily be compared to data, as well as providing a framework to 
implement your own analyses.  Although using PYTHIA with RIVET is not 
officially supported, some helpful hints are given below. The full RIVET 
manual is available online. 
 


     

    Using PYTHIA with RIVET
     
The following assumes that you already have RIVET installed. Instructions 
for this may be found 
 
here. 
 


     
Events are passed from PYTHIA to RIVET using the HepMC format. PYTHIA must 
be compiled with HepMC support, using the same version of HepMC used when 
compiling RIVET. This is setup through the PYTHIA configure 
script e.g. 

     
  ./configure --with-hepmc=/path/to/HepMC --with-hepmcversion=HepMC.version.number 

     
The PYTHIA library itself does not need to be recompiled. 
 


     
The examples/main42.cc sample program can then be used to 
generate events in HepMC format (which examples/main61.cc 
and examples/main62.cc extends by allowing LHAPDF usage 
and subruns). When in the examples directory, the main program 
can be built and used as follows 

     
  make main42 
  ./main42 main42.cmnd main42.hepmc 

     
The first argument is the input file which provides the options for event 
generation, while the second is the output file where the HepMC events 
should be written. 
 


     
This HepMC file may now be read and processed by RIVET 

     
  rivet --analysis=ANALYSIS_NAME main42.hepmc 

     
where ANALYSIS_NAME is a 
built-in RIVET 
analysis, or one you have created yourself. The output of RIVET is in 
the form of .aida files, containing the histograms for the 
analysis, which can be processed further with RIVET (see the 
 
RIVET documentation for more details). 
 


     
The above examples requires that (potentially large) HepMC events are stored 
to disk before being read by RIVET. It is possible, instead, to pass the 
events directly to RIVET as they are produced by using a FIFO 
pipe. This is done with the mkfifo command 

     
  mkfifo my_fifo 
  ./main42.exe main42.cmnd my_fifo & 
  rivet --analysis=ANALYSIS_NAME my_fifo 

     
Note that main42 is run in the background. 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/POWHEGMerging.xml0000444000175000017500000001516512357055026016664 0ustar  sunsun  
 

    POWHEG Merging
     
 
POWHEG Nas04 in its character is very much like a parton shower, 
with a Sudakov factor arising from the ordering of emissions. Both 
POWHEG-BOX Ali10 and PYTHIA are based on a combined evolution 
of ISR and FSR in pT-related "hardness" variables, and thus are 
kindred spirits. The hardness definitions differ, however. Frequently we 
will therefore need to distinguish between POWHEG-hardness and 
PYTHIA-hardness in the following. 


     
The simplest merging solution, of continuing the PYTHIA shower at the LHA 
scale hardness where POWHEG leaves off, is obtained if you 
set SpaceShower:pTmaxMatch = 1 and 
TimeShower:pTmaxMatch = 1. But then mismatches are bound to 
happen: some regions may be doublecounted, while others may not be counted 
at all. Depending on the choice of hardness, such mismatches might be small. 
  

     
There are no guarantees, however, so a (hopefully) more accurate merging
scheme is coded up in the examples/main31 files. Here we would 
like to discuss the (POWHEG-specific) input settings for 
main31.cc, and attempt to give some recommendations on how to 
use the main program to perform a matching of POWHEG-BOX with PYTHIA 8. 
The main source of documentation is main31.cmnd, however. 
 

     
POWHEG-BOX inputs contain Born-like events (with no resolved emission) and 
Real-type events (containing an additional parton). The mismatch between 
POWHEG-hardness and PYTHIA-hardness can be minimised if the PYTHIA shower 
knows 

    a) The POWHEG-hardness criterion (through which the separation of Born- 
and Real-like events is defined), and 

    b) The POWHEG-hardness value (which separates Born- and Real-like 
events). 

    If these definitions are known, then 
PYTHIA can fill missing phase space regions through vetoed showering: let 
the shower sweep over the full phase space, using its PYTHIA-hardness 
ordering, and use the POWHEG-hardness to veto those emissions that POWHEG 
should already have covered. This is only possible since the 
POWHEG-hardness criterion and the shower ordering criterion are very 
similar. In the more general case a truncated showering would be needed
Nas04. 
 

     
For vetoed showering, it is necessary to define the POWHEG-hardness criterion 
in main31.cc. In the presence of multiple partons, the definition 
quickly becomes complicated, and allows for different choices. Similar 
decisions have already been made in the implementation of POWHEG, one example 
being the choice in defining which "hardness value" is transferred as 
POWHEG-hardness, e.g. by deciding if the "singular regions" of the FKS or the 
CS approach are used. If the POWHEG-hardness definition were to be changed,
or extended to more objects, the main31.cc code would need to
be modified accordingly.  
 

     
main31.cc is designed to be very flexible, and allows access 
to many possible choices. However, this flexibility means that many parameters 
can be changed, potentially leading to confusion. Thus, recommendations might 
prove helpful. All mistakes and inaccuracies rest with the author. 
 

     
We recommend the usage of vetoed showers. This means using 

              POWHEG:veto = 1 

     
This means that PYTHIA will sweep over the full phase space, and apply a veto 
on parton shower emissions for which the POWHEG-hardness separation between 
radiator and emission is above the POWHEG-hardness value of the current input 
event. The variation POWHEG:veto = 0 can be used to assess 
how much phase space is under- or double-counted. 


     
To define the POWHEG-hardness criterion, use 

              POWHEG:pTdef = 1 

     
Other values can be used by experts to assess variations. 


     
Both POWHEG-BOX and PYTHIA 8 generate emissions through a parton shower 
step, meaning that both programs have a clear definition of a radiator 
that emits particles, which is very similar (if not identical). 
To fix the ambiguity if the radiator or the emitted particle should be 
called "the emission", use 

              POWHEG:emitted = 0 

     
More complicated choices can be used by experts. For instance, use 
POWHEG:emitted = 2 to check the POWHEG-hardness of both 
radiator and emitted. 


     
To exhaustively fix the criterion by which to veto parton shower 
emissions, it is important to decide which partons/parton pairs 
are used to calculate the POWHEG hardness of a PYTHIA 8 emission. 
The minimal and recommended choice is 

              POWHEG:pTemt = 0 

     
This means that only the POWHEG hardness w.r.t the radiating leg is 
checked, and recoil effects are neglected. This prescription should be 
very similar to how a hardness value is assigned to a Real-type event 
in the POWHEG-BOX, since in the (implementation of FKS in the) POWHEG-BOX, 
initial state splittings only have singular regions with the radiating 
initial state parton, and final state splittings only have singular 
regions w.r.t the radiating final state line. Other choices of 
POWHEG:pTemt are available. A warning is that the impact of 
changes can be huge, particularly for inputs with many jets. Other choices 
therefore should only be made by experts, and a high degree of caution 
is advised. 
 

     
It is furthermore necessary to decide on a value of the hardness criterion. 
POWHEG-BOX transfers this value in the SCALUP member of 
Les Houches Events, and we recommend using this value by setting 

              POWHEG:pThard = 0 

     
As a variation, in order to estimate the uncertainty due this choice of 
POWHEG-hardness definition, it can be useful to also check 
POWHEG:pThard = 2. This will recalculate the POWHEG-hardness 
value as promoted in Ole12. 
 

     
Finally, you need to decide how many emissions the vetoed shower should 
check after an allowed emission has been constructed. If the hardness 
definitions in POWHEG-BOX and PYTHIA 8 where identical, all checking could 
be stopped after the first allowed PS emission. To be prudent, we 
recommend setting 

              POWHEG:vetoCount = 3 

     
which will then check up to three allowed emissions. Higher values of 
POWHEG:vetoCount have not lead to visible differences 
for the processes which have been tested.  

 
 
 
pythia8-8.1.86.orig/xmldoc/pipi-Froggatt.dat0000444000175000017500000001350712357055025017043 0ustar  sunsun# Pion-pion partial-wave data, analysis of Froggatt and Petersen
#  Nucl. Phys. B129 (1977) 89-110
# Notation for column headers is L,2I

set eType   Wcm
set eUnit   GeV
set input   eta,delta
set dUnit   deg
set norm    1

# Elastic region
Wcm   0,0         0,4         1,2         2,0         2,4        3,2
0.30  1.00 7.1    1.00 -0.6   1.00 0.1    1.00 0.0    1.00 0.0   1.00  0.0
0.32  1.00 10.7   1.00 -1.2   1.00 0.4    1.00 0.0    1.00 0.0   1.00  0.0
0.34  1.00 14.0   1.00 -1.8   1.00 0.7    1.00 0.0    1.00 0.0   1.00  0.0
0.36  1.00 17.1   1.00 -2.4   1.00 1.0    1.00 0.0    1.00 0.0   1.00  0.0
0.38  1.00 20.2   1.00 -3.1   1.00 1.5    1.00 0.0    1.00 0.0   1.00  0.0
0.40  1.00 23.3   1.00 -3.7   1.00 2.0    1.00 0.0    1.00 0.0   1.00  0.0
0.42  1.00 26.4   1.00 -4.3   1.00 2.5    1.00 0.0    1.00 0.0   1.00  0.0
0.44  1.00 29.6   1.00 -5.0   1.00 3.2    1.00 0.0    1.00 0.0   1.00  0.0
0.46  1.00 32.7   1.00 -5.6   1.00 4.0    1.00 0.0    1.00 0.0   1.00  0.0
0.48  1.00 35.8   1.00 -6.2   1.00 4.9    1.00 0.0    1.00 0.0   1.00  0.0
0.50  1.00 39.0   1.00 -6.8   1.00 5.9    1.00 0.0    1.00 0.0   1.00  0.0
0.52  1.00 42.1   1.00 -7.4   1.00 7.1    1.00 0.0    1.00 0.0   1.00  0.0
0.54  1.00 45.1   1.00 -8.0   1.00 8.5    1.00 0.0    1.00 0.0   1.00  0.0
0.56  1.00 48.2   1.00 -8.6   1.00 10.1   1.00 0.0    1.00 0.0   1.00  0.0
0.58  1.00 51.2   1.00 -9.1   1.00 12.1   1.00 0.0    1.00 0.0   1.00  0.0
0.60  1.00 54.1   1.00 -9.6   1.00 14.4   1.00 0.0    1.00 0.0   1.00  0.0
0.62  1.00 57.0   1.00 -10.1  1.00 17.3   1.00 0.0    1.00 0.0   1.00  0.0
0.64  1.00 59.9   1.00 -10.6  1.00 20.9   1.00 0.0    1.00 0.0   1.00  0.0
0.66  1.00 62.7   1.00 -11.1  1.00 25.4   1.00 0.0    1.00 0.0   1.00  0.0
0.68  1.00 65.5   1.00 -11.5  1.00 31.2   1.00 0.0    1.00 0.0   1.00  0.0
0.70  1.00 68.3   1.00 -12.0  1.00 38.7   1.00 0.0    1.00 0.0   1.00  0.0
0.72  1.00 71.1   1.00 -12.4  1.00 48.4   1.00 0.0    1.00 0.0   1.00  0.0
0.74  1.00 73.9   1.00 -12.8  1.00 60.6   1.00 0.0    1.00 0.0   1.00  0.0
0.76  1.00 76.7   1.00 -13.2  1.00 74.9   1.00 0.0    1.00 0.0   1.00  0.0
0.78  1.00 79.6   1.00 -13.6  1.00 90.0   1.00 0.0    1.00 0.0   1.00  0.0
0.80  1.00 82.5   1.00 -13.9  1.00 103.8  1.00 0.0    1.00 0.0   1.00  0.0
0.82  1.00 85.6   1.00 -14.3  1.00 115.3  1.00 0.0    1.00 0.0   1.00  0.0
0.84  1.00 88.8   1.00 -14.6  1.00 124.3  1.00 0.0    1.00 0.0   1.00  0.0
0.86  1.00 92.4   1.00 -14.9  1.00 131.3  1.00 0.0    1.00 0.0   1.00  0.0
0.88  1.00 96.3   1.00 -15.2  1.00 136.7  1.00 0.0    1.00 0.0   1.00  0.0
0.90  1.00 100.8  1.00 -15.5  1.00 141.0  1.00 0.0    1.00 0.0   1.00  0.0
0.92  1.00 106.3  1.00 -15.8  1.00 144.5  1.00 0.0    1.00 0.0   1.00  0.0
0.94  1.00 113.6  1.00 -16.1  1.00 147.3  1.00 0.0    1.00 0.0   1.00  0.0
0.96  1.00 124,5  1.00 -16.4  1.00 149.7  1.00 0.0    1.00 0.0   1.00  0.0
0.98  1.00 146.9  1.00 -16.6  1.00 151.8  1.00 0.0    1.00 0.0   1.00  0.0
# Inelastic region
1.01  0.24 35.9   1.00 -17.4  0.90 156.4  0.88 15.1   1.00 -1.7  1.00  0.1
1.03  0.20 45.3   1.00 -17.6  0.85 158.2  0.85 16.9   1.00 -1.8  1.00  0.1
1.05  0.27 59.9   1.00 -17.8  0.90 159.8  0.94 17.5   1.00 -1.9  1.00  0.2
1.07  0.57 80.0   1.00 -18.0  0.85 160.6  0.88 18.4   1.00 -1.9  0.99  0.3
1.09  0.53 68.2   1.00 -18.3  0.88 163.0  0.93 22.1   1.00 -2.0  0.99  0.4
1.11  0.65 72.1   0.99 -18.5  0.88 164.4  0.93 26.4   1.00 -2.1  0.99  0.4
1.13  0.65 74.2   0.99 -18.7  0.85 167.1  0.91 29.7   1.00 -2.2  0.98  0.3
1.15  0.59 80.0   0.98 -19.0  0.83 168.5  0.88 31.7   1.00 -2.3  0.98  0.5
1.17  0.61 79.9   0.98 -19.2  0.84 169.4  0.87 38.7   1.00 -2.4  0.97  0.2
1.19  0.60 84.6   0.97 -19.5  0.83 169.0  0.82 43.5   1.00 -2.5  0.98  0.5
1.21  0.58 83.3   0.97 -19.8  0.81 169.3  0.80 53.6   1.00 -2.6  0.97  0.1
1.23  0.60 86.7   0.96 -20.0  0.84 168.8  0.74 62.3   0.99 -2.7  0.98  0.4
1.25  0.69 88.9   0.95 -20.3  0.85 168.9  0.74 75.0   0.99 -2.8  0.98  0.4
1.27  0.68 92.5   0.95 -20.6  0.89 170.7  0.70 87.7   0.99 -2.8  0.99  0.3
1.29  0.82 99.7   0.94 -20.9  0.90 171.1  0.59 101.2  0.99 -2.9  1.00  0.6
1.31  0.78 104.2  0.93 -21.1  0.81 174.5  0.72 112.8  0.99 -3.0  1.01  0.4
1.33  0.71 109.0  0.92 -21.4  0.74 176.7  0.75 122.2  0.99 -3.1  1.02  0.4
1.35  0.73 113.2  0.91 -21.7  0.69 0.6    0.71 132.7  0.98 -3.2  1.04  0.4
1.37  0.62 121.7  0.90 -22.0  0.69 3.1    0.77 137.6  0.98 -3.3  1.05  1.0
1.39  0.57 126.2  0.89 -22.3  0.65 4.9    0.80 143.1  0.98 -3.4  1.04  1.2
1.41  0.53 133.1  0.88 -22.6  0.60 5.6    0.81 147.1  0.98 -3.5  1.04  1.6
1.43  0.51 137.8  0.87 -22.9  0.53 5.8    0.82 150.3  0.98 -3.5  1.04  2.4
1.45  0.48 145.1  0.86 -23.3  0.49 5.7    0.81 153.8  0.97 -3.6  1.03  2.7
1.47  0.51 154.6  0.85 -23.6  0.48 5.0    0.82 157.7  0.97 -3.7  1.04  3.6
1.49  0.54 160.4  0.84 -23.9  0.44 4.2    0.82 159.8  0.97 -3.8  1.03  4.4
1.51  0.59 166.1  0.83 -24.2  0.41 3.1    0.82 161.7  0.97 -3.9  1.02  5.4
1.53  0.61 170.2  0.82 -24.5  0.37 0.6    0.80 163.6  0.96 -3.9  1.00  6.2
1.55  0.63 174.4  0.81 -24.9  0.33 177.7  0.77 165.2  0.96 -4.0  0.97  7.2
1.57  0.67 177.0  0.79 -25.2  0.27 176.9  0.69 167.6  0.96 -4.1  0.91  7.5
1.59  0.77 3.0    0.78 -25.5  0.29 169.3  0.79 168.4  0.96 -4.2  0.93  9.6
1.61  0.80 7.5    0.77 -25.8  0.30 162.9  0.77 169.9  0.95 -4.3  0.89  10.6
1.63  0.85 12.1   0.76 -26.2  0.33 157.7  0.76 171.8  0.95 -4.3  0.83  11.9
1.65  0.88 17.1   0.75 -26.5  0.40 154.2  0.77 173.2  0.95 -4.4  0.76  12.8
1.67  0.87 21.8   0.74 -26.9  0.49 153.2  0.74 175.4  0.95 -4.5  0.69  12.5
1.69  0.83 26.4   0.73 -27.2  0.59 154.3  0.75 177.3  0.94 -4.6  0.62  11.1
1.71  0.72 31.4   0.71 -27.6  0.68 155.9  0.61 178.6  0.94 -4.6  0.56  8.4
1.73  0.59 35.3   0.70 -27.9  0.75 158.4  0.59 179.0  0.94 -4.7  0.54  4.6
1.75  0.43 35.5   0.69 -28.3  0.80 161.5  0.55 179.2  0.93 -4.8  0.56  1.2
1.77  0.30 30.7   0.68 -28.6  0.82 164.2  0.51 178.3  0.93 -4.8  0.60 -0.8
1.79  0.21 21.6   0.67 -29.0  0.84 166.8  0.52 179.2  0.93 -4.9  0.65 -1.9

pythia8-8.1.86.orig/xmldoc/ParticleData.xml0000444000175000017500000215462612357055025016726 0ustar  sunsun 
 

    Particle Data
     
 
The structure and operation of the particle data table is described 
here. That page 
also describes how default data properties can be changed. The 
current page provides the actual default values. 
 

    Main settings
     
 
Apart from the data itself, the particle data table only contains 
a few aspects that are available to change: 
 
 
Selection of particle masses when the mSel(id) is called 
to provide a new mass: 
 
 
 
 
 
Note: this mode only applies to normal hadronic 
resonances like the rho. The more massive states of the 
isResonance() type, like Z^0 or top, are 
considered separately. 
 
 
 
The modifications in options 2 and 4 above enhance the large-mass tail 
of the Breit-Wigner distributions (the mass spectrum develops a dm/m divergence). 
However, we expect form factors to dampen this tail at masses some distance 
above the nominal one, so cut off the rise by requiring the actual 
Breit-Wigner weight not to be more than a factor  maxEnhanceBW 
above the one obtained with options 1 or 3, respectively. This also 
opens up for a simpler technical handling of mass selection in options 
2 and 4, by using standard hit-and-miss Monte Carlo. 
 
 

     
Since running masses are only calculated for the six quark flavours, 
e.g. to obtain couplings to the Higgs boson(s), there is not an entry 
in the normal tables for each particles, but only the six MSbar mass 
values below, used as starting point for the running. In addition you 
can pick an alpha_s(M_Z), which is converted into a first-order 
five-flavour Lambda that is used to determine the rate of the running. 
(Without any match to four flavours below m_b; if desired, this 
can be fixed by slightly shifted default mass values, since the routines 
never should be called below the m_b scale anyway.) 
 
 
the d quark MSbar mass at 2 GeV scale. 
 
 
 
the u quark MSbar mass at 2 GeV scale. 
 
 
 
the s quark MSbar mass at 2 GeV scale. 
 
 
 
the c quark MSbar mass at the mass scale itself. 
 
 
 
the b quark MSbar mass at the mass scale itself. 
 
 
 
the t quark MSbar mass at the mass scale itself. 
 
 
 
the alpha_s(M_Z) value used to define the rate at which MSbar 
masses run. 
 
 

    Comments on the data
     
 
Much of the current data has been updated based on the 2012 Review of Particle 
Physics Ber12, while some is still based on the 2006 RPP 
Yao06. All known particle masses, widths and lifetimes 
have been set accordingly, while most not-yet-measured particles are kept at 
their values from PYTHIA 6. Decay channels and their branching 
ratios remain a major worry: many particles do not have one single solidly 
measured branching ratio, and many further do not have known branching 
ratios that add up to (the neighbourhood of) unity. 
 

     
Uncertainties are especially big for the scalar, pseudovector and tensor 
L = 1 multiplets available in PYTHIA. We note that 
some distributions become better described when these multiplets are 
included in the generation, while others become worse. It is tempting to 
associate this lackluster performance with the primitive knowledge. 
Not even the multiplets themselves are particularly well known. 
It used to be that the a_0(980) and f_0(980) 
were considered to be members of the scalar multiplet. Nowadays they are 
commonly assumed to be either four-quark states or of some other exotic 
character. This means that the PYTHIA 8 PDG particle codes 
have been changed for these particles, relative to what was used in 
PYTHIA 6 based on previous PDG editions. Specifically their 
numbers are now in the 9000000 series, and they have been replaced in the 
scalar multiplet by a_0(1450) and f_0(1370). 
 

     
For charm and bottom mesons the jungle of partial measurements makes 
it very difficult to construct fully consistent sets of decay channels. 
This part of the program has not yet been brought up to date to the 
2006 RPP. Instead the LHCb decay tables (for EvtGen, but without 
using the EvtGen matrix-element machinery) and the DELPHI tune for 
PYTHIA 6 is being used. (This also includes a few non-c/b 
hadrons that only occur in the c/b decay tables.) This has the 
advantage that many tests have been made for consistency, but the 
disadvantage that it is not always in agreement with the latest 
measurements of some specific decay channels. The decays based 
on the LHCb tables (with some modifications) are 411, 421, 431, 441, 
445, 511, 521, 531, 541, 3124, 4122, 4124, 5122, 10441, 10443, 13122, 
14122, 20443, 23122, 30313, 30323, 30443, 33122, 100113, 100213, 100441, 
100443, 100553, 9000111, 9000211. Correspondingly the decays based on 
the DELPHI tables are 415, 425, 435, 515, 525, 535, 4132, 4232, 4332, 
5132, 5232 and 5332. 
 

    The data itself
     
 
Here comes the default particle data used in the program. Do not touch. 
The meaning of the various properties and the format used are explained 
here and the 
meMode codes here. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
 
 
 
  
 
 
 
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
  
  
  
  
  
 
 
 
  
 
 
 
 

 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
  
  
 
 
 
 
 
 
 
 
 
  
  
  
 
 
 
  
 
 
 
 
 
 
 
 
 
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
 
 
 
 
 
 
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
  
 
 
 
  
 
 
 
  
  
 
 
 
  
  
  
 
 
 
  
 
 
 
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
 
 
 
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 

 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
  
 
 
 
  
  
 
 
 
  
  
  
 
 
 
  
  
 
 
 
  
  
  
 
 
 
  
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
 
 
 
  
  
 
 
 
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
  
  
  
  
  
  
  
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 


 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 



 


     
 
 
pythia8-8.1.86.orig/xmldoc/PartonDistributions.xml0000444000175000017500000001441512357055025020404 0ustar  sunsun 
 

    Parton Distributions
     
 
The parton distributions file contains the PDF class. 
PDF is the base class, from which specific PDF 
classes are derived. 
 

     
The choice of which PDF to use is made by settings in the 
Pythia class, see here. 
These settings also allow to access all the proton PDF's available in the 
LHAPDF library Wha05. Thus there is no need for a normal user 
to study the PDF class. The structure must only be understood 
when interfacing new PDF's, e.g. ones not yet found in LHAPDF. 
 

    The PDF base class
     
 
PDF defines the interface that all PDF classes should respect. 
The constructor requires the incoming beam species to be given: 
even if used for a proton PDF, one needs to know whether the beam 
is actually an antiproton. This is one of the reasons why Pythia 
always defines two PDF objects in an event, one for each beam. 
 

     
Once a PDF object has been constructed, call it pdf, 
the main method is pdf.xf( id, x, Q2), which returns 
x*f_id(x, Q2), properly taking into account whether the beam 
is an antiparticle or not. 
 

     
Whenever the xf member is called with a new flavour, x 
or Q^2, the xfUpdate member is called to do the actual 
updating. This routine may either update that particular flavour or all 
flavours at this (x, Q^2) point. (In the latter case the saved 
id value idSav should be set to 9.) The choice is 
to be made by the producer of a given set, based on what he/she deems most 
effective, given that sometimes only one flavour need be evaluated, and 
about equally often all flavours are needed at the same x and 
Q^2. Anyway, the latest value is always kept in memory. This is 
the other reason why Pythia has one separate PDF 
object for each beam, so that values at different x can be kept 
in memory. 
 

     
Two further public methods are xfVal( id, x, Q2) and 
xfSea( id, x, Q2). These are simple variants whereby 
the quark distributions can be subdivided into a valence and a sea part. 
If these are not directly accessible in the parametrization, one can 
make the simplified choices u_sea = ubar_sea, u_val = u_tot - u_sea, 
and correspondingly for d. (Positivity will always be guaranteed 
at output.) The xfUpdate method should also take care of 
updating this information. 
 

     
A method setExtrapolate(bool) allows you to switch between 
freezing parametrizations  at the x and Q^2 boundaries 
(false) or extrapolating them outside the boundaries 
(true). This method is only implemented for the LHAPDF class 
below. If you implement a new PDF you are free to use this method, but it 
would be smarter to hardcode the desired limiting behaviour. 
 

    Derived classes
     
 
There is only one pure virtual method, xfUpdate, that 
therefore must be implemented in any derived class. A reasonable 
number of such classes come with the program: 
 

     
For protons: 

       

    • LHAPDFinterface provides an interface to the 
LHAPDF libraryWha05.
      •  

    • GRV94L gives the GRV 94 L parametrization 
Glu95.
      •  

    • CTEQ5L gives the CTEQ 5 L parametrization 
Lai00.
      •  

    • MSTWpdf gives the four distributions of the 
MRST/MSTW group that have been implemented.
      •  

    • CTEQ6pdf gives the six distributions of the 
CTEQ/CT group that have been implemented.
      •  

    • NNPDF gives four distributions from the NNPDF 2.3 
QCD+QED sets that have been implemented.
      •  

     
The current default is CTEQ 5L, which has been used in most studies 
to date. 
 

     
For charged pions: 

       

    • GRVpiL gives the GRV 1992 pi+ parametrization.
      •  

     
 

     
For Pomerons (used to describe diffraction): 

       

    • PomFix gives a simple but flexible 
Q2-independent parametrization.
      •  

    • PomH1FitAB gives the H1 2006 Fit A and Fit B 
parametrizations.
      •  

    • PomH1Jets gives the H1 2007 Jets parametrization.
      •  

     
 

     
For charged leptons (e, mu, tau): 

       

    • Lepton gives a QED parametrization Kle89. 
In QED there are not so many ambiguities, so here one set should be 
enough. On the other hand, there is the problem that the 
lepton-inside-lepton pdf is integrably divergent for x → 1, 
which gives numerical problems. Like in PYTHIA 6, the pdf is therefore 
made to vanish for x > 1 - 10^{-10}, and scaled up in the range 
1 - 10^{-7} < x < 1 - 10^{-10} in such a way that the 
total area under the pdf is preserved.
      •  

    • LeptonPoint gives the trivial distribution of a 
pointlike (i.e. unresolved) charged lepton.
      •  

     
 

     
For neutrinos: 

       

    • NeutrinoPoint is the only method, so there is no choice. 
Analogously to LeptonPoint it gives the distribution of a 
pointlike (i.e. unresolved) neutrino. A difference, however, is that 
neutrinos always are lefthanded, so there is no need to average over 
incoming spin states. Since the PYTHIA formalism assumes unpolarized 
beams, and thus implicitly includes a 1/2 for incoming fermions, the 
NeutrinoPoint PDF is normalized to 2 rather than 1 
to compensate for this.
      •  

     
 

     
There is another method, isSetup(), that returns the 
base-class boolean variable isSet. This variable is 
initially true, but could be set false if the 
setup procedure of a PDF failed, e.g. if the user has chosen an unknown 
PDF set. 
 

     
The MRST/MSTW, CTEQ/CT, NNPDF and H1 PDF routines are based on the 
interpolation in (x, Q) grids. The grid files are stored in the 
xmldoc subdirectory, like settings and particle data. 
Only PDF sets that will be used are read in during the initialization 
stage. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/BeamShape.xml0000444000175000017500000000650412357055014016201 0ustar  sunsun 
 

    Beam Shape
     
 
The Beam Parameters 
page explains how you can set a momentum spread of the two incoming 
beams, and a spread and offset for the location of the interaction 
vertex. The spread is based on a simple parametrization in terms of 
independent Gaussians, however, which is likely to be too primitive 
for realistic applications. 
 

     
It is therefore possible to define your own class, derived from the 
BeamShape base class, and hand it in to Pythia with the 
 
pythia.setBeamShapePtr( BeamShape*) method. 
Below we describe what such a class has to do. An explicit toy example 
is shown in main23.cc. 
 

     
The BeamShape base class has a very simple structure. 
It only has two main virtual methods. The first, init(), is 
used for initialization. The second, pick(), selects 
beam momentum and production vertex in the current event. 
 
 
 
 
the constructor and destructor do not need to do anything. 
 
 
 
the base-class method simply reads in the relevant values stored 
in the Settings data base, and saves a pointer to the 
random-number generator. You are free to write your own 
derived initialization routine, or use the existing one. In the 
latter case you can then give your own modified interpretation 
to the beam spread parameters defined there. 

    The two flags Beams:allowMomentumSpread and 
Beams:allowVertexSpread should not be tampered with, 
however. These are checked elsewhere to determine whether the beam 
shape should be set or not, whereas the other momentum-spread 
and vertex-spread parameters are local to this class. 
     
 
 
this method is the key one to supply in the derived class. Here you 
are free to pick whatever parametrization you desire for beam momenta 
and vertex position, including correlations between the two. 
At the end of the day, you should set a few protected 
double numbers: 

    deltaPxA, deltaPyA, deltaPzA for the three-momentum 
shift of the first incoming beam, relative to the nominal values; 

    deltaPxB, deltaPyB, deltaPzB for the three-momentum 
shift of the second incoming beam, relative to the nominal values; 

    vertexX, vertexY, vertexZ, vertexT for the 
production-vertex position and time. 

    As usual, momentum is given in GeV, and space and time in mm, 
with c = 1. 
     
 
 
 
 
read out the three-momentum shifts for beams A and B that were set by 
pick(). The energy components are put to zero at this stage, 
since they are most conveniently calculated after the original and the 
shift three-momenta have been added. 
 
 
 
read out the production-vertex position and time that were set by 
pick(). 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/ct09mc2.pds0000444000175000017500000173562312357055015015540 0ustar  sunsunPDF Table for Fit #: fl6msrv                                                  
  Ordr, Nfl, lambda        Qmass 1,  2,  3,         4,  5,  6
   2.   5.  0.2268    0.001    0.001    0.200    1.300    4.650  172.000
   IPD0, IHDN, IKNL, NfMx, Nfval,  KF, Nelmt
     1     1     1     5     2    12   57300
   NX,  NT,  JT,  NG, NTL(NG+1)
  190   24    1    2   24
(NTL(I), NTN(I), TLN(I), DTN(I), I =1, NG)
    0    7  5.57275E-01  7.83026E-02
    7   17  1.10539E+00  8.58403E-02
QINI, QMAX, (QV(I), TV(I), I =0, NT)
  1.30000E+00  1.00000E+05
  1.30000E+00  5.57275E-01
  1.49866E+00  6.35577E-01
  1.74779E+00  7.13880E-01
  2.06404E+00  7.92182E-01
  2.47076E+00  8.70485E-01
  3.00126E+00  9.48788E-01
  3.70389E+00  1.02709E+00
  4.65000E+00  1.10539E+00
  6.09576E+00  1.19123E+00
  8.18731E+00  1.27707E+00
  1.12911E+01  1.36291E+00
  1.60268E+01  1.44875E+00
  2.34741E+01  1.53459E+00
  3.55786E+01  1.62043E+00
  5.59725E+01  1.70627E+00
  9.17063E+01  1.79212E+00
  1.57052E+02  1.87796E+00
  2.82247E+02  1.96380E+00
  5.34606E+02  2.04964E+00
  1.07227E+03  2.13548E+00
  2.28911E+03  2.22132E+00
  5.23059E+03  2.30716E+00
  1.28707E+04  2.39300E+00
  3.43324E+04  2.47884E+00
  1.00000E+05  2.56468E+00
XMIN, XCR, (XV(I), I =1, NX)
  1.00000E-08  1.50000E+00
  1.00000E-08  1.17803E-08  1.38778E-08  1.63489E-08  1.92599E-08  2.26892E-08
  2.67291E-08  3.14884E-08  3.70950E-08  4.36999E-08  5.14807E-08  6.06469E-08
  7.14452E-08  8.41659E-08  9.91515E-08  1.16805E-07  1.37602E-07  1.62101E-07
  1.90962E-07  2.24961E-07  2.65013E-07  3.12195E-07  3.67777E-07  4.33253E-07
  5.10385E-07  6.01248E-07  7.08284E-07  8.34965E-07  9.83595E-07  1.15868E-06
  1.36492E-06  1.60787E-06  1.89406E-06  2.23117E-06  2.62841E-06  3.09641E-06
  3.64773E-06  4.29722E-06  5.06234E-06  5.96367E-06  7.02548E-06  8.27631E-06
  9.74982E-06  1.14856E-05  1.35304E-05  1.59392E-05  1.87766E-05  2.21191E-05
  2.60564E-05  3.06942E-05  3.61571E-05  4.25918E-05  5.01709E-05  5.90977E-05
  6.96115E-05  8.19937E-05  9.65758E-05  1.13747E-04  1.33967E-04  1.57774E-04
  1.85802E-04  2.18795E-04  2.57627E-04  3.03325E-04  3.57094E-04  4.20343E-04
  4.94725E-04  5.82239E-04  6.85007E-04  8.05733E-04  9.47515E-04  1.11390E-03
  1.30904E-03  1.53770E-03  1.80543E-03  2.11857E-03  2.48437E-03  2.91111E-03
  3.40814E-03  3.98598E-03  4.65639E-03  5.43234E-03  6.32831E-03  7.35986E-03
  8.54125E-03  9.89379E-03  1.14309E-02  1.31758E-02  1.51436E-02  1.73523E-02
  1.98189E-02  2.25606E-02  2.55851E-02  2.89092E-02  3.25397E-02  3.64826E-02
  4.07414E-02  4.53168E-02  5.02071E-02  5.54085E-02  6.09151E-02  6.67197E-02
  7.28133E-02  7.91861E-02  8.58274E-02  9.27257E-02  9.98695E-02  1.07243E-01
  1.14848E-01  1.22661E-01  1.30677E-01  1.38873E-01  1.47265E-01  1.55821E-01
  1.64539E-01  1.73408E-01  1.82435E-01  1.91589E-01  2.00875E-01  2.10284E-01
  2.19811E-01  2.29449E-01  2.39192E-01  2.49036E-01  2.58974E-01  2.69003E-01
  2.79118E-01  2.89315E-01  2.99590E-01  3.09940E-01  3.20361E-01  3.30848E-01
  3.41402E-01  3.52019E-01  3.62695E-01  3.73426E-01  3.84208E-01  3.95063E-01
  4.05950E-01  4.16887E-01  4.27870E-01  4.38898E-01  4.49969E-01  4.61082E-01
  4.72234E-01  4.83424E-01  4.94651E-01  5.05914E-01  5.17211E-01  5.28541E-01
  5.39903E-01  5.51296E-01  5.62718E-01  5.74170E-01  5.85653E-01  5.97163E-01
  6.08683E-01  6.20243E-01  6.31826E-01  6.43433E-01  6.55063E-01  6.66715E-01
  6.78389E-01  6.90084E-01  7.01799E-01  7.13535E-01  7.25289E-01  7.37063E-01
  7.48855E-01  7.60668E-01  7.72487E-01  7.84333E-01  7.96195E-01  8.08073E-01
  8.19966E-01  8.31874E-01  8.43797E-01  8.55734E-01  8.67686E-01  8.79651E-01
  8.91628E-01  9.03624E-01  9.15628E-01  9.27645E-01  9.39675E-01  9.51717E-01
  9.63770E-01  9.75836E-01  9.87912E-01  1.00000E+00
Parton Distribution Table:
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
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  5.54200E+07  4.40560E+07  3.50102E+07  2.78120E+07  2.20860E+07  1.75314E+07
  1.39106E+07  1.10336E+07  8.74835E+06  6.93376E+06  5.49344E+06  4.35062E+06
  3.44418E+06  2.72551E+06  2.15593E+06  1.70468E+06  1.34733E+06  1.06444E+06
  8.40589E+05  6.63531E+05  5.23542E+05  4.12906E+05  3.25506E+05  2.56492E+05
  2.02020E+05  1.59044E+05  1.25153E+05  9.84394E+04  7.73921E+04  6.08169E+04
  4.77698E+04  3.75047E+04  2.94322E+04  2.30870E+04  1.81020E+04  1.41875E+04
  1.11151E+04  8.70504E+03  6.81418E+03  5.33368E+03  4.17395E+03  3.26578E+03
  2.55509E+03  1.99921E+03  1.56460E+03  1.22494E+03  9.59575E+02  7.52321E+02
  5.90481E+02  4.64119E+02  3.65450E+02  2.88389E+02  2.28176E+02  1.81090E+02
  1.44223E+02  1.15373E+02  9.26747E+01  7.48381E+01  6.07364E+01  4.95731E+01
  4.06976E+01  3.36093E+01  2.79161E+01  2.33284E+01  1.96031E+01  1.65629E+01
  1.40674E+01  1.20071E+01  1.02965E+01  8.86851E+00  7.67014E+00  6.65947E+00
  5.80305E+00  5.07407E+00  4.45093E+00  3.91609E+00  3.45526E+00  3.05665E+00
  2.71085E+00  2.40925E+00  2.14580E+00  1.91469E+00  1.71165E+00  1.53219E+00
  1.37354E+00  1.23279E+00  1.10765E+00  9.95936E-01  8.96265E-01  8.07012E-01
  7.26959E-01  6.55031E-01  5.90294E-01  5.31940E-01  4.79263E-01  4.31644E-01
  3.88541E-01  3.49478E-01  3.14035E-01  2.81843E-01  2.52574E-01  2.25941E-01
  2.01696E-01  1.79604E-01  1.59475E-01  1.41137E-01  1.24439E-01  1.09259E-01
  9.54449E-02  8.29455E-02  7.16471E-02  6.14711E-02  5.23469E-02  4.42098E-02
  3.69989E-02  3.06564E-02  2.51251E-02  2.03480E-02  1.62674E-02  1.28242E-02
  9.95820E-03  7.60820E-03  5.71283E-03  4.21151E-03  3.04566E-03  2.15926E-03
  1.50036E-03  1.02325E-03  6.85579E-04  4.53212E-04  2.97479E-04  1.95665E-04
  1.30461E-04  8.92264E-05  6.31357E-05  4.63167E-05  3.50527E-05  2.71083E-05
  2.12005E-05  1.66193E-05  1.29722E-05  1.00416E-05  7.68232E-06  5.79727E-06
  4.30702E-06  3.14443E-06  2.25136E-06  1.57727E-06  1.07847E-06  7.17551E-07
  4.62903E-07  2.88342E-07  1.72385E-07  9.81785E-08  5.26028E-08  2.59624E-08
  1.13509E-08  4.05680E-09  1.00782E-09  1.20463E-10  0.00000E+00  5.71981E+10
  4.61510E+10  3.69363E+10  2.95540E+10  2.36412E+10  1.89065E+10  1.51161E+10
  1.20824E+10  9.65504E+09  7.71325E+09  6.16031E+09  4.91868E+09  3.92620E+09
  3.13310E+09  2.49949E+09  1.99344E+09  1.58938E+09  1.26685E+09  1.00946E+09
  8.04121E+08  6.40353E+08  5.09780E+08  4.05702E+08  3.22769E+08  2.56705E+08
  2.04095E+08  1.62208E+08  1.28880E+08  1.02263E+08  8.11962E+07  6.44469E+07
  5.11346E+07  4.05576E+07  3.21565E+07  2.54863E+07  2.01907E+07  1.59890E+07
  1.26567E+07  1.00150E+07  7.92149E+06  6.26308E+06  4.94984E+06  3.91034E+06
  3.08785E+06  2.43732E+06  1.92301E+06  1.51657E+06  1.19551E+06  9.41996E+05
  7.41906E+05  5.84052E+05  4.59572E+05  3.61455E+05  2.84152E+05  2.23276E+05
  1.75358E+05  1.37658E+05  1.08011E+05  8.47077E+04  6.64002E+04  5.20244E+04
  4.07415E+04  3.18905E+04  2.49508E+04  1.95124E+04  1.52528E+04  1.19181E+04
  9.30908E+03  7.26747E+03  5.67315E+03  4.42757E+03  3.45478E+03  2.69558E+03
  2.10335E+03  1.64157E+03  1.28167E+03  1.00125E+03  7.82838E+02  6.12749E+02
  4.80305E+02  3.77167E+02  2.96830E+02  2.34225E+02  1.85396E+02  1.47263E+02
  1.17497E+02  9.41376E+01  7.58261E+01  6.13835E+01  4.99772E+01  4.09293E+01
  3.37196E+01  2.79417E+01  2.32959E+01  1.95316E+01  1.64660E+01  1.39549E+01
  1.18861E+01  1.01719E+01  8.74367E+00  7.54750E+00  6.54060E+00  5.68896E+00
  4.96535E+00  4.34787E+00  3.81878E+00  3.36365E+00  2.97059E+00  2.63012E+00
  2.33362E+00  2.07499E+00  1.84845E+00  1.64971E+00  1.47429E+00  1.31942E+00
  1.18223E+00  1.06042E+00  9.51842E-01  8.55102E-01  7.68598E-01  6.91123E-01
  6.21612E-01  5.59143E-01  5.02917E-01  4.52238E-01  4.06496E-01  3.65157E-01
  3.27754E-01  2.93875E-01  2.63158E-01  2.35282E-01  2.09966E-01  1.86969E-01
  1.66059E-01  1.47054E-01  1.29783E-01  1.14100E-01  9.98839E-02  8.69877E-02
  7.53572E-02  6.48808E-02  5.54800E-02  4.70833E-02  3.96251E-02  3.30434E-02
  2.72793E-02  2.22746E-02  1.79720E-02  1.43136E-02  1.12411E-02  8.69574E-03
  6.61859E-03  4.95130E-03  3.63696E-03  2.62114E-03  1.85241E-03  1.28358E-03
  8.73498E-04  5.84440E-04  3.86253E-04  2.53820E-04  1.67409E-04  1.12097E-04
  7.70641E-05  5.48086E-05  4.03692E-05  3.06222E-05  2.36960E-05  1.85178E-05
  1.44926E-05  1.12880E-05  8.71724E-06  6.65279E-06  5.00816E-06  3.71199E-06
  2.70394E-06  1.93194E-06  1.35094E-06  9.22210E-07  6.12767E-07  3.94898E-07
  2.45798E-07  1.46862E-07  8.35791E-08  4.47158E-08  2.20033E-08  9.56434E-09
  3.38526E-09  8.31475E-10  1.00056E-10  0.00000E+00

pythia8-8.1.86.orig/xmldoc/LeptoquarkProcesses.xml0000444000175000017500000000630712357055021020371 0ustar  sunsun 
 

    Leptoquark Processes
     
 
Leptoquarks arise in many scenarios, and can have widely different 
characteristics, with respect to spin, isospin am d flavour. 
The current implementation in no sense attempts to exhaust these 
possibilities, but only to encode one of the simplest possibilities, 
with a single scalar leptoquark, denoted LQ and assigned PDG 
code 42. The leptoquark is assumed to carry specific quark 
and lepton quantum numbers, by default u quark plus electron. 
These flavour numbers are conserved, i.e. a process such as 
u e^- → LQ → d nu_e is not allowed. 
   

     
Although only one leptoquark is implemented, its flavours may be 
changed arbitrarily to study the different possibilities. The 
flavours of the leptoquark are defined by the quark and lepton 
flavours in the decay mode list. Therefore, to change from the 
current u e^- to c mu^+, say, you only need 
a line 

    pythia.readString("42:0:products = 4 -13"); 

    in your main program, or the equivalent in a command file. 
The former must always be a quark, while the latter could be a lepton 
or an antilepton; a charge-conjugate partner is automatically defined 
by the program. At initialization, the charge is recalculated as a 
function of the flavours defined; also the leptoquark name is redefined 
to be of the type LQ_q,l, where actual quark and lepton 
flavours are displayed. 
   

     
The leptoquark is likely to be fairly long-lived, in which case it 
could have time to fragment into a mesonic- or baryonic-type state, which 
would decay later on. Currently this possibility is not handled; therefore 
the leptoquark is always assumed to decay before fragmentation. 
For that reason the leptoquark can also not be put stable. 
 

    Production processes
     
 
Four production processes have been implemented, which normally would 
not overlap and therefore could be run together. 
 
 
Common switch for the group of lowest-order LQ production 
processes, i.e. the four ones below. 
 
 
 
Scatterings q l → LQ. 
Code 3201. 
 
 
 
Scatterings q g → LQ l. 
Code 3202. 
 
 
 
Scatterings g g → LQ LQbar. 
Code 3203. 
 
 
 
Scatterings q qbar → LQ LQbar. 
Code 3204. 
 
 

    Parameters
     
 
In the above scenario the main free parameters are the leptoquark flavour 
content, set as already described, and the LQ mass, set as usual. 
In addition there is one further parameter. 
 
 
multiplicative factor in the LQ → q l squared Yukawa coupling, 
and thereby in the LQ width and the q l → LQ and 
other cross sections. Specifically, lambda^2/(4 pi) = k alpha_em, 
i.e. it corresponds to the $k$ factor of Hew88. 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/JetMatching.xml0000444000175000017500000006756612357055021016566 0ustar  sunsun 
 
 

    Jet Matching
     
 
This manual page describes the parton-jet matching interfaces for 
PYTHIA8. In this approach, usually referred to as MLM matching 
Man02, Man07, the final jets after parton-shower evolution 
and jet clustering are matched to the original partons. The event is 
accepted if a reasonable match is found, and rejected if not. The 
rejection step in an approximate way introduces a Sudakov form factor 
on to the hard processes. Notably the parton shower should not generate 
an emission that would doublecount hard activity already included in 
the matrix-element description. Within this general ansatz, different 
technical solutions can be adopted. We provide two alternatives, one 
based on the algorithm used in ALPGEN Man03, and another on 
the one used in Madgraph Alw11, both reimplemented from 
scratch here. The main points of these two algorithms are outlined 
further down on this page. 
 

    We also allow for two alternative sources of external events, 
one in the ALPGEN native format and one in the Madgraph LHEF-based one. 
All four combinations of input format and matching style are 
implemented. In the following it is therefore important to keep 
the two aspects apart, whenever the ALPGEN and Madgraph labels 
are used. 
 

    Currently all the files of interest are located in the 
examples/ subdirectory: 

       

    • JetMatching.h contains the machinery for the 
parton-jet matching, in the two JetMatchingAlpgen 
and JetMatchingMadgraph classes. 

      •  

    • GeneratorInput.h contains three classes for the 
reading of ALPGEN event and parameter files, and one for the reading 
of Madgraph parameters. 

      •  

    • CombineMatchingInput.h contains three classes that 
combine the reading of events with the matching of them. 

      •  

    •  
main32.cc, main32.cmnd : a sample main program and card 
file showing the usage of the previous files/classes. 

      •  

     
 

    Event input source
     
 
External sources of partons are used in the parton-jet matching 
process. The source of the partons has been separated from the 
implementation of the matching algorithm. By default, PYTHIA8 
contains a machinery to process Les Houches Event Files (LHEFs) 
as described on the 
Les Houches Accord 
and Beam Parameters 
pages. Madgraph5 adheres to this format, but also contains some further 
non-standardized information that can be used. The parsing of the native 
ALPGEN file format is described on the 
Alpgen Event Interface page. 
 

    Commonly, the source of external partons also contains information 
about how a particular type of matching algorithm should be employed. 
This information is handled by the AlpgenPar class for 
ALPGEN files, and MadgraphPar for LHEFs. 
The user can choose to set default matching parameters using the 
Alpgen:setMLM 
flag for ALPGEN files. For LHEFs, instead, the setting of default 
parameters is controlled with the JetMatching:setMad flag: 
 
 
When enabled, the merging parameters are set according to the values 
in the LHEF header. Specifically, the header must set the 
ickkw, xqcut, maxjetflavor 
and alpsfact values, and ickkw must be nonzero. 
Note that these labels are Madgraph-specific. For other programs 
with LHEF output, or for Madgraph files lacking this information, 
these parameters should be set by the user (or one can rely on the 
default values). The following parameters (described below) must then 
be specified: 

       

    •  JetMatching:doMerge = ickkw, 
      •  

    •  JetMatching:qCut = xqcut, 
      •  

    •  JetMatching:nQmatch = maxjetflavor, 
      •  

    •  JetMatching:clFact = alpsfact.  
      •  

     
With this flag on, the values from the LHEF for these parameters take 
precedence over other values. 
 
 

     Jet Matching parameters 
     
 
A class JetMatching, derived from UserHooks, is 
used to define the basic structure of a parton-jet matching algorithm. 
Two versions are implemented here, based on the FORTRAN code provided 
by the ALPGEN and Madgraph packages, respectively: 
JetMatchingAlpgen and JetMatchingMadgraph. 
The matching parameters are defined with the JetMatching:* 
keyword. 
 

     Scheme and Usage 
     
 
 
Master switch to activate parton-jet matching. 
When off, all external events are accepted (unless they 
are rejected due to weighting or event processing problems). 
 
 
 
The parton-jet MLM-style matching scheme. 
 
 
 
 

    Jet algorithm
     
 
The choice of jet algorithm and associated parameters can be adjusted with 
the settings below. The PYTHIA8 internal CellJet and 
SlowJet routines are used for jet finding.  See the 
Event Analysis page for more details. 
 
 
The choice of jet algorithm to use when merging against hard partons. 
Currently, only SlowJet with the kT algorithm (and 
useStandardR = false) is supported for Madgraph-style 
matching, while there is full freedom for the ALPGEN-style matching. 
 
 
 
 
 
The power to use in the SlowJet algorithm. 
 
 
 
 
 
 
Specific to the CellJet algorithm, the number of bins 
in pseudorapidity. 
 
 
 
Specific to the CellJet algorithm, the number of bins in phi. 
 
 
 
Specific to the CellJet algorithm, the minimum eT 
for a cell to be acceptable as the trial center of a jet. 
 
 
 
Specific to the CellJet algorithm, cells with 
eT < eTthreshold are completely neglected by the jet algorithm. 
 
 

    Merging parameters
     
 
The following options are the three main parameters for the merging 
procedure. Although here they are in principle free parameters, they should 
be heavily influenced by the hard process generation cuts. 
These values can be set automatically based on the information in the 
ALPGEN file or LHEF. 
 
 
For the CellJet algorithm, this gives the minimum transverse 
energy inside a cone for a jet to be accepted. For the SlowJet 
algorithm, this is instead the minimum transverse momentum required for a 
cluster to be accepted as a jet. For Madgraph-style matching, this 
parameter should match the qCut parameter described later. 
 
 
 
For the CellJet algorithm, this gives the size of the cone 
in (eta, phi) space drawn around the geometric center of the jet. 
For the SlowJet algorithm, this gives the R parameter. 
 
 
 
For both jet algorithms, this defines the maximum pseudorapidity that 
the detector is assumed to cover. In this context, however, it is tied 
to the phase space region in which partons have been generated. 
For the Alpgen-style matching, particles within 
etaJetMax + coneRadius are passed to the jet algorithm, 
with only jets within etaJetMax retained in the merging. 
For the Madgraph-style matching, only particles within etaJetMax 
are used. 
 
 

    Exclusive mode
     
 
The following settings determine whether clustered jets which do not 
match an original hard parton are allowed. They are typically permitted 
in the highest jet multiplicity sample, where the parton shower may 
produce extra hard jets, without risk of double counting. Any 
extra jet produced by the shower must be softer than any matched light 
jet, or else the event is vetoed. 
 
 
Exclusive or inclusive merging. 
 
 
 
 
 
 
When JetMatching:exclusive = 2, nJet indicates 
the minimum number of additional light jets in the incoming process. 
This value may be set automatically. 
 
 
 
When JetMatching:exclusive = 2, nJetMax is used to 
indicate the maximum number of jets that will be matched. 
 
 

    Jet matching
     
 
The following parameters control the criteria for matching a clustered jet 
to a hard parton. 
 
 
Controls which particles are clustered by the jet algorithm. 
 
 
 
 

     Alpgen-specific parameters 
     
 
 
Criteria for matching a clustered jet to a parton. 
 
 
 
 
 
The coneMatchLight parameter used when 
JetMatching:jetMatch = 1. 
 
 
 
The coneRadiusHeavy parameter used when 
JetMatching:jetMatch = 1. When assigned a negative value, 
the value of JetMatching:coneRadius is used. 
 
 
 
The coneMatchHeavy parameter used when 
JetMatching:jetMatch = 1. 
 
 

    Madgraph-specific parameters 
     

 
This switch changes the merging prescription to the shower-kT matching scheme 
outlined in Alw08. This scheme differs from "classical" MLM jet 
matching with respect to when the matching veto is checked. The shower-kT 
scheme considers already immediately after the first shower emission if an 
event should be discarded. A detailed comparison of the "classical" MLM 
prescription (e.g. Madgraph-style matching with 
JetMatching:doShowerKt = off) and the shower-kT scheme are 
in preparation. 
 
  
 
kT scale for merging shower products into jets. 
 
 
 
Controls the treatment of heavy quarks. 
 
 
 
 
 
The clFact parameter determines how jet-to parton matching 
is done. A match is defined as a squared cluster scale that equals: 

    |clFact| * qCut for inclusive mode, 

    |clFact| * max(qCut,min(pT(parton))) 
for exclusive mode, clFact ≥ 0, or 

    |clFact| * min(kT(parton)) for exclusive mode, 
clFact < 0. 
     


     
A preliminary implementation of the FxFx prescription for combining multiple 
NLO calculations Fre12 is available. We would like to stress that 
this implementation is still undergoing validation. FxFx merging with aMC@NLO 
shares most parameters with the leading-order (MadGraph-style) MLM 
prescriptions and can be activated by using the three additional settings 
below. 
 
 
If turned on, then FxFx merging with aMC@NLO inputs is performed. Note that 
this requires event samples that are specifically generated for this task. 
 
 
 
The number of partons in Born-like events for the current input LHEF. If 
the current sample e.g. contains pp → e+e- + 2 partons 
Born-like configurations, and pp → e+e- + 3 partons 
Real-emission-type events, then JetMatching:nPartonsNow = 2 
applies. 
 
 
 
The cut applied to regulate multi-jet matrix elements. Note that this cut can 
differ from the matching scale. 
 
 

    Alpgen-style parton-jet matching and merging
     
 
This section describes the Alpgen-style MLM merging algorithm for PYTHIA8. 
The most common reference to the algorithm is Man02. In many 
respects, however, the implementation provided in the ALPGEN package should 
be considered the official description of the MLM merging procedure. 
Although designed primarily to work with events generated with ALPGEN, it 
can in principle also be used with events from a different source. This 
should not be done without thought, however, and it is up to the user to 
understand the details of the algorithm and the implications of using a 
different hard process generator. 
 

     
First, either the CellJet or SlowJet jet 
algorithm is chosen. Both of these algorithms have an R and 
an etaMax parameter. In addition, CellJet has an 
eTmin and SlowJet has a pTmin parameter. 
These are the primary three parameters of the merging procedure, and in 
practice are set dependent on the cuts applied to the matrix element (ME) 
generation. We stress that the merging procedure is not tied to the 
geometry of a specific physical detector, but only to the match between 
the original partons and the resulting jets, using standard jet algorithms 
in the phase space region where partons have been generated. 
 

     
ME samples with different jet multiplicities are run through the event 
generator, and the generation interrupted after parton showers have been 
applied, but before resonance decays and beam remnants have been 
processed. Note in particular that top quarks will not yet be decayed, 
which may lead to slight differences with the PYTHIA 6 interface included 
with the ALPGEN package. In what follows, the hardness measure of 
jets/partons is taken to be eT when CellJet 
is used and pT when SlowJet is used. The hard 
system (ignoring all MPI systems) is then analysed: 

       
  
    •  
    The particles in the original matrix element process are sorted into 
    light partons, heavy partons and other particles. For backwards 
    compatibility, a light parton is defined as the set (d, u, s, c, 
    b, g) with zero mass. A heavy parton is defined as the set 
    (c, b, t) with non-zero mass. 
  
      •  
  
    •  
    All particles not originating from the heavy partons or other 
    particles are passed to the jet algorithm and clustered. 
  
      •  
  
    •  
    Clustered jets are matched to the light partons in the original ME 
    process. There are two different methods which can be used: 
    
         
      
      •  
        Method 1: The following is done for each parton, in order 
        of decreasing hardness. The delta R between the parton 
        and all jets is calculated and the smallest value taken. If 
        this is less than the jet R parameter, possibly 
        multiplied by a constant, the jet and parton are considered to 
        match, and the jet is removed from further consideration. 
        Note that for CellJet the delta R measure 
        is in (eta, phi), while for SlowJet, it is 
        in (y, phi). 
      
        •  
      
      •  
        Method 2: This method is only possible when using the 
        SlowJet algorithm. Before the clustering is performed, 
        extremely soft "ghost" particles are added to the event at the 
        (y, phi) coordinates of the original matrix element 
        partons. If such a particle is clustered into a jet, the parton 
        and jet are considered to match. The idea of "ghost" particles 
        was originally introduced by FastJet as a way to measure jet 
        areas Cac06 and should not affect clustering with an 
        infrared-safe jet algorithm. 
      
        •  
    
       
  
    •  
    If there is a light ME parton remaining which has not been matched 
    to a jet, then the event is vetoed. If all ME partons have been 
    matched to a jet, but there are still some extra jets remaining, 
    then two options are possible: 
    
         
      
      •  
        Exclusive mode: the event is vetoed. This is typically used when 
        there are ME samples with higher jet multiplicities, which would 
        fill in the extra jets. 
      
        •  
      
      •  
        Inclusive mode: the event is retained if the extra jets are softer 
        than the softest matched jet. This is typically used when 
        there is no ME sample with higher jet multiplicity, so the parton 
        shower should be allowed to give extra jets. 
    
       
  
      •  
  
    •  
    All particles originating from the heavy partons are passed to the 
    jet algorithm and clustered. 
  
      •  
  
    •  
    The clustered jets are again matched to the original partons, but 
    there is no requirement for a match to be present; all matched jets 
    are immediately discarded. The matching procedure is much the same 
    as for light partons, but with two differences when delta R 
    matching is used. First, a different R parameter than that 
    used by the jet algorithm may optionally be given. Second, all jets 
    that are within the given radius of the parton are matched, not 
    just the one with the smallest delta R measure. If there 
    are still extra jets remaining then in exclusive mode the event is 
    immediately vetoed, while in inclusive mode the event is retained if 
    the extra jets are softer than the softest light matched jet. 
  
      •  

     
 

     
Some different options are provided, specified further above in the 
parameters section. These are set so that, by default, the algorithm 
closely follows the official MLM interface provided in the ALPGEN package. 
 

     
All vetoing of events is done through the usual 
User Hooks machinery, and is 
therefore already taken into account in the cross section. In the output 
from Pythia::stat(), 
the difference between the "Selected" and "Accepted" columns gives the 
number of events that have not survived the vetoing procedure. It is 
still the responsibility of the user to add together the results from 
runs with different jet multiplicities. In the simplest case, when 
ALPGEN input is used and the hard process parameters are used to guide 
the merging procedure, it is enough to set the 
JetMatching:nJetMax parameter. 
 

    Madgraph-style parton-jet Merging and Matching
     
 

     
This section describes the Madgraph-style parton-jet matching algorithm 
for PYTHIA8. 
 

     
First, the kT jet algorithm is applied using the PYTHIA8 
SlowJet implementation. The useStandardR = false 
is used, ie. the (delta R)^2 separation is defined as 
2 (cosh(delta y) - cos(delta phi)) rather than the more common 
(delta y)^2 + delta phi)^2. The R, etaMax, 
and a pTmin parameters are specified. By default, R = 1 
and pTmin = qCut . It is not recommended to change these. 
These should match the algorithm parameters used in the Madgraph 
Matrix Element (ME) generation. 
 

     
ME samples with different jet multiplicities are run through the event 
generator, and the generation is interrupted after parton showers have 
been applied, but before resonance decays and beam remnants have been 
processed. In what follows, the hardness measure of jets/partons is taken 
to be kT relative to qCut. 
The hard system (ignoring all MPI systems) is analyzed: 

       
  
    •  
    The hard partons in the original matrix element process, provided by 
    the LHEF, are sorted into light partons, heavy partons and other 
    particles. A heavy parton is defined by the 
    JetMatching:nQmatch or by the maxjetflavor 
    value in the LHEF. nQmatch refers to the absolute value of 
    the quark PDG identity code. 
  
      •  
  
    •  
    All partons arising from the parton shower are sorted based on their 
    motherhood. A showered parton arising from a heavy parton or "other" 
    parton classified in the previous step is not passed to the jet 
    algorithm. All other partons are clustered into light jets. 
  
      •  
  
    •  It is checked whether there are "too few" or "too many" light jets. 
    If the number of light jets is less than the number of light partons 
    defined by nQmatch, the event is vetoed. If the number is 
    larger, the event is vetoed only in exclusive mode (defined below). 
  
      •  
  
    •  In exclusive mode, the number of jets matches the number of light 
    partons. In inclusive mode, the jets are re-clustered until the number 
    of jets equals the number of light partons. Next, each light hard 
    parton is clustered, one at a time, with the jets until a match is found. 
    A match is defined as a squared cluster scale that equals: 
    
         
      
      • |clFact| * qCut for inclusive mode,
        •  
      
      • |clFact| * max(qCut,min(pT(parton))) 
         for exclusive mode, clFact ≥ 0, or
        •  
      
      • |clFact| * min(kT(parton)) for exclusive 
         mode, clFact < 0.
        •  
    
       
    If no match is found, the event is vetoed. When a parton 
    matches a jet, the jet is removed from the collection, and 
    the process continues. The process terminates when all partons 
    are matched to a jet, or a parton is unmatched. 
  
      •  
  
    •  
    All particles originating from the heavy partons are not used. 
  
      •  

     
In exclusive mode, it is expected that ME samples with higher parton 
multiplicity are available to fill the phase space above qCut. 
The inclusive mode is when there are no such samples, and the parton 
shower is used to fill the phase space. 
 

     
Some different options are provided, specified further above. These 
are set so that, by default, the algorithm closely follows the 
FORTRAN interface ME2Pythia provided in the Madgraph 
package. 
 

     
All vetoing of events is done through the usual 
User Hooks machinery, and is 
therefore already taken into account in the cross section. In the output 
from Pythia::stat(), 
the difference between the "Selected" and "Accepted" columns gives the 
number of events that have not survived the vetoing procedure. It is 
still the responsibility of the user to add together the results from 
runs with different jet multiplicities. In the simplest case, when 
the hard process parameters are used to guide the merging procedure, 
events will be matched in the exclusive mode. 
 

     
  

    A note on combining UserHooks
     
 
As have been noted above, the matching is implemented using classes 
derived from the UserHooks 
class, thereby gaining access to the event generation process at the 
relevant locations. For native ALPGEN files, which do not adhere to 
the Les Houches standards, it is also necessary to intervene with 
a UserHooks-derived  AlpgenHooks to handle 
the extraction and setting of relevant extra information. 
 

     
One must then combine multiple UserHooks classes, 
such that the functionality of both is present. A prerequisite 
is that the different UserHooks classes should be 
declared with virtual inheritance, e.g. 

     
  class JetMatching : virtual public UserHooks 

     
Without this option, when combining two UserHooks-derived 
classes, two copies of the base UserHooks class would be 
created, leading to ambiguities. 
 

     
The two first classes in CombineMatchingInput.h combine 
ALPGEN input with the two different matching schemes, e.g. for the first 

     
class JetMatchingAlpgenInputAlpgen : public AlpgenHooks, 
  public JetMatchingAlpgen { 
public: 
  // Constructor and destructor. 
  JetMatchingAlpgenInputAlpgen(Pythia& pythia) : AlpgenHooks(pythia), 
    JetMatchingAlpgen() { } 
  ~JetMatchingAlpgenInputAlpgen() {} 
  // Initialisation. 
  virtual bool initAfterBeams() { 
    if (!AlpgenHooks::initAfterBeams()) return false; 
    if (!JetMatchingAlpgen::initAfterBeams()) return false; 
    return true; 
  } 
  // Process level vetos. 
  virtual bool canVetoProcessLevel() { 
    return JetMatchingAlpgen::canVetoProcessLevel(); 
  } 
  .... 
}; 

     
This class inherits from both AlpgenHooks and 
JetMatchingAlpgen. Any functions which are present 
in both classes should be overridden with a function that calls 
the different parent methods in the desired order. In the 
above example, the only shared methods are the constructor and 
initAfterBeams(). 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/NewGaugeBosonProcesses.xml0000444000175000017500000003205412357055023020745 0ustar  sunsun 
 

    New-Gauge-Boson Processes
     
 
This page contains the production of new Z'^0 and 
W'^+- gauge bosons, e.g. within the context of a new 
U(1) or SU(2) gauge group, and also a 
(rather speculative) horizontal gauge boson R^0. 
Left-right-symmetry scenarios also contain new gauge bosons, 
but are described 
separately. 
  

    Z'^0
     
   
This group only contains one subprocess, with the full 
gamma^*/Z^0/Z'^0 interference structure for couplings 
to fermion pairs. It is possible to pick only a subset, e.g, only 
the pure Z'^0 piece. No higher-order processes are 
available explicitly, but the ISR showers contain automatic 
matching to the Z'^0 + 1 jet matrix elements, as for 
the corresponding gamma^*/Z^0 process. 
   
 
Scattering f fbar →Z'^0. 
Code 3001. 
 
 
 
Choice of full gamma^*/Z^0/Z'^0 structure or not in 
the above process. Note that, with the Z'^0 part switched 
off, this process is reduced to what already exists among 
electroweak processes, 
so those options are here only for crosschecks. 
 
 
 
 
 
 
 
Note: irrespective of the option used, the particle produced 
will always be assigned code 32 for Z'^0, and open decay channels 
is purely dictated by what is set for the Z'^0. 
 
 

     
The couplings of the Z'^0 to quarks and leptons can 
either be assumed universal, i.e. generation-independent, or not. 
In the former case eight numbers parametrize the vector and axial 
couplings of down-type quarks, up-type quarks, leptons and neutrinos, 
respectively. Depending on your assumed neutrino nature you may 
want to restrict your freedom in that sector, but no limitations 
are enforced by the program. The default corresponds to the same 
couplings as that of the Standard Model Z^0, with axial 
couplings a_f = +-1 and vector couplings 
v_f = a_f - 4 e_f sin^2(theta_W), with 
sin^2(theta_W) = 0.23. Without universality 
the same eight numbers have to be set separately also for the 
second and the third generation. The choice of fixed axial and 
vector couplings implies a resonance width that increases linearly 
with the Z'^0 mass. 
 

     
By a suitable choice of the parameters, it is possible to simulate 
just about any imaginable Z'^0 scenario, with full 
interference effects in cross sections and decay angular 
distributions and generation-dependent couplings; the default values 
should mainly be viewed as placeholders. The conversion 
from the coupling conventions in a set of different Z'^0 
models in the literature to those used in PYTHIA is described in
Cio08.
 
 
If on then you need only set the first-generation couplings 
below, and these are automatically also used for the second and 
third generation. If off, then couplings can be chosen separately 
for each generation. 
 
 

     
Here are the couplings always valid for the first generation, 
and normally also for the second and third by trivial analogy: 
 
 
vector coupling of d quarks. 
 
 
 
axial coupling of d quarks. 
 
 
 
vector coupling of u quarks. 
 
 
 
axial coupling of u quarks. 
 
 
 
vector coupling of e leptons. 
 
 
 
axial coupling of e leptons. 
 
 
 
vector coupling of nu_e neutrinos. 
 
 
 
axial coupling of nu_e neutrinos. 
 
 

     
Here are the further couplings that are specific for 
a scenario with Zprime:universality switched off: 
 
 
vector coupling of s quarks. 
 
 
 
axial coupling of s quarks. 
 
 
 
vector coupling of c quarks. 
 
 
 
axial coupling of c quarks. 
 
 
 
vector coupling of mu leptons. 
 
 
 
axial coupling of mu leptons. 
 
 
 
vector coupling of nu_mu neutrinos. 
 
 
 
axial coupling of nu_mu neutrinos. 
 
 
 
vector coupling of b quarks. 
 
 
 
axial coupling of b quarks. 
 
 
 
vector coupling of t quarks. 
 
 
 
axial coupling of t quarks. 
 
 
 
vector coupling of tau leptons. 
 
 
 
axial coupling of tau leptons. 
 
 
 
vector coupling of nu_tau neutrinos. 
 
 
 
axial coupling of nu_tau neutrinos. 
 
 

     
The coupling to the decay channel Z'^0 → W^+ W^- is 
more model-dependent. By default it is therefore off, but can be 
switched on as follows. Furthermore, we have left some amount of 
freedom in the choice of decay angular correlations in this 
channel, but obviously alternative shapes could be imagined. 
 
 
the coupling Z'^0 → W^+ W^- is taken to be this number 
times m_W^2 / m_Z'^2 times the Z^0 → W^+ W^- 
coupling. Thus a unit value corresponds to the 
Z^0 → W^+ W^- coupling, scaled down by a factor 
m_W^2 / m_Z'^2, and gives a Z'^0 partial 
width into this channel that again increases linearly. If you 
cancel this behaviour, by letting Zprime:coup2WW be 
proportional to m_Z'^2 / m_W^2, you instead obtain a 
partial width that goes like the fifth power of the Z'^0 
mass. These two extremes correspond to the "extended gauge model" 
and the "reference model", respectively, of Alt89. 
Note that this channel only includes the pure Z' part, 
while f fbar → gamma^*/Z^*0 → W^+ W^- is available 
as a separate electroweak process. 
 
 
 
in the decay chain Z'^0 → W^+ W^- →f_1 fbar_2 f_3 fbar_4 
the decay angular distributions is taken to be a mixture of two 
possible shapes. This parameter gives the fraction that is distributed 
as in Higgs h^0 → W^+ W^- (longitudinal bosons), 
with the remainder (by default all) is taken to be the same as for 
Z^0 → W^+ W^- (a mixture of transverse and longitudinal 
bosons). 
 
 

     
A massive Z'^0 is also likely to decay into Higgs bosons 
and potentially into other now unknown particles. Such possibilities 
clearly are quite model-dependent, and have not been included 
for now. 
 

    W'^+-
     
   
The W'^+- implementation is less ambitious than the 
Z'^0. Specifically, while indirect detection of a 
Z'^0 through its interference contribution is 
a possible discovery channel in lepton colliders, there is no 
equally compelling case for W^+-/W'^+- interference 
effects being of importance for discovery, and such interference 
has therefore not been implemented for now. Related to this, a 
Z'^0 could appear on its own in a new U(1) group, 
while W'^+- would have to sit in a SU(2) group 
and thus have a Z'^0 partner that is likely to be found 
first. Only one process is implemented but, like for the 
W^+-, the ISR showers contain automatic matching to the 
W'^+- + 1 jet matrix elements. 
 
 
Scattering f fbar' → W'^+-. 
Code 3021. 
 
 

     
The couplings of the W'^+- are here assumed universal, 
i.e. the same for all generations. One may set vector and axial 
couplings freely, separately for the q qbar' and the 
l nu_l decay channels. The defaults correspond to the 
V - A structure and normalization of the Standard Model 
W^+-, but can be changed to simulate a wide selection 
of models. One limitation is that, for simplicity, the same 
Cabibbo--Kobayashi--Maskawa quark mixing matrix is assumed as for 
the standard W^+-. Depending on your assumed neutrino 
nature you may want to restrict your freedom in the lepton sector, 
but no limitations are enforced by the program. 
 
 
vector coupling of quarks. 
 
 
 
axial coupling of quarks. 
 
 
 
vector coupling of leptons. 
 
 
 
axial coupling of leptons. 
 
 

     
The coupling to the decay channel W'^+- → W^+- Z^0 is 
more model-dependent, like for Z'^0 → W^+ W^- described 
above. By default it is therefore off, but can be 
switched on as follows. Furthermore, we have left some amount of 
freedom in the choice of decay angular correlations in this 
channel, but obviously alternative shapes could be imagined. 
 
 
the coupling W'^0 → W^+- Z^0 is taken to be this number 
times m_W^2 / m_W'^2 times the W^+- → W^+- Z^0 
coupling. Thus a unit value corresponds to the 
W^+- → W^+- Z^0 coupling, scaled down by a factor 
m_W^2 / m_W'^2, and gives a W'^+- partial 
width into this channel that increases linearly with the 
W'^+- mass. If you cancel this behaviour, by letting 
Wprime:coup2WZ be proportional to m_W'^2 / m_W^2, 
you instead obtain a partial width that goes like the fifth power 
of the W'^+- mass. These two extremes correspond to the 
"extended gauge model" and the "reference model", respectively, 
of Alt89. 
 
 
 
in the decay chain W'^+- → W^+- Z^0 →f_1 fbar_2 f_3 fbar_4 
the decay angular distributions is taken to be a mixture of two 
possible shapes. This parameter gives the fraction that is distributed 
as in Higgs H^+- → W^+- Z^0 (longitudinal bosons), 
with the remainder (by default all) is taken to be the same as for 
W^+- → W^+- Z^0 (a mixture of transverse and longitudinal 
bosons). 
 
 

     
A massive W'^+- is also likely to decay into Higgs bosons 
and potentially into other now unknown particles. Such possibilities 
clearly are quite model-dependent, and have not been included 
for now. 
 

    R^0
     
   
The R^0 boson (particle code 41) represents one possible 
scenario for a horizontal gauge boson, i.e. a gauge boson 
that couples between the generations, inducing processes like 
s dbar → R^0 → mu^- e^+. Experimental limits on 
flavour-changing neutral currents forces such a boson to be fairly 
heavy. In spite of being neutral the antiparticle is distinct from 
the particle: one carries a net positive generation number and 
the other a negative one. This particular model has no new 
parameters beyond the R^0 mass. Decays are assumed isotropic. 
For further details see Ben85. 
   
 
Scattering f_1 fbar_2 → R^0 → f_3 fbar_4, where 
f_1 and fbar_2 are separated by +- one 
generation and similarly for f_3 and fbar_4. 
Thus possible final states are e.g. d sbar, u cbar 
s bbar, c tbar, e- mu+ and 
mu- tau+. 
Code 3041. 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/WeakShowers.xml0000444000175000017500000002271612357055031016620 0ustar  sunsun 
     

    Weak Showers
     
 
The emission of W^+- and Z^0 gauge bosons off fermions 
is intended to be an integrated part of the initial- and final-state 
radiation frameworks, and is fully interleaved with QCD and QED emissions. 
It is a new and still not fully explored feature, however, and therefore 
it is off by default. The weak-emission machinery is described in detail 
in Chr14; here we only bring up some of the most relevant 
points for using this machinery. 
 

     
In QCD and QED showers the real and virtual corrections are directly 
related with each other, which means that the appropriate Sudakov factors 
can be directly obtained as a by-product of the real-emission evolution. 
This does not hold for W^+-, owing to the flavour-changing 
character of emissions, so-called Bloch-Nordsieck violations. These 
effects are not expected to be large, but they are not properly included, 
since our evolution framework makes no distinction in this respect 
between QCD, QED or weak emissions. Another restriction is that there 
is no simulation of the full gamma^*/Z^0 interference: at low 
masses the QED shower involves a pure gamma^* component, 
whereas the weak shower generates a pure Z^0. 
 

     
The non-negligible W/Z masses have a considerable impact 
both on the matrix elements and on the phase space for their emission. 
The shower on its own is not set up to handle those aspects with a 
particularly good accuracy. Therefore the weak shower emissions are 
always matched to the matrix element for emission off a f fbar 
weak dipole, or some other 2 → 3 matrix element that resembles 
the topology at hand. Even if the match may not be perfect, at least the 
main features should be caught that way. Notably, the correction procedure 
is used throughout the shower, not only for the emission closest to the 
hard 2 → 2 process. In such extended applications, emission 
rates are normalized to the invariant mass of the dipole at 
the time of the weak emission, i.e. discounting the energy change by 
previous QCD/QED emissions. 
 

     
Also the angular distribution in the 
subsequent V = W^+-/Z^0 decay is matched to the matrix element 
expression for f fbar → f fbar V → f fbar f' fbar' (FSR) 
and f fbar → g^* V → g^* f' fbar' (ISR). Afterwards the 
f' fbar' system undergoes showers and hadronization just like 
any W^+-/Z^0 decay products would. 
 

     
Special for the weak showers is that couplings are different for left- and 
righthanded fermions. With incoming unpolarized beams this should average out, 
at least so long as only one weak emission occurs. In the case of several 
weak emissions off the same fermion the correlation between them will carry 
a memory of the fermion helicity. Such a memory is retained for the 
affected dipole end, and is reflected in the Particle::pol() 
property, it being +1 (-1) for fermions considered 
righthanded (lefthanded), and 0 for the bulk where no choice has been 
made. 
 

     Most events will not contain a W^+-/Z^0 emission at all, 
which means that dedicated generator studies of weak emissions can 
become quite  inefficient. In a shower framework it is not 
straightforward to force  such emissions to happen without biasing 
the event sample in some respect. An option is available to enhance 
the emission rate artificially, but it is then the responsibility of 
the user to correct the cross section accordingly, and not to pick an 
enhancement so big that the probability for more than one emission is 
non-negligible. (It is not enough to assign an event weight 
1/e^n where e is the enhancement factor 
and n is the number of emitted gauge bosons. This still 
misses to account for the change in phase space for late emissions by 
the effect of earlier ones, or equivalently for the unwanted change in 
the Sudakov form factor. See Lon12a for a detailed discussion 
and possible solutions.) 
 

     
Another enhancement probability is to only allow some specific 
W^+-/Z^0 decay modes. By default the shower is inclusive, 
since it should describe all that can happen with unit probability. 
This also holds even if the W^+- and Z^0 produced 
in the hard process have been restricted to specific decay channels. 
The trick that allows this is that two new "aliases" have been produced, 
a Zcopy with identity code 93 and a Wcopy with 
code 94. These copies are used specifically to bookkeep decay channels 
open for W^+-/Z^0 bosons produced in the shower. For the rest 
they are invisible, i.e. you will not find these codes in event listings, 
but only the regular 23 and 24 ones. The identity code duplication allows 
the selection of specific decay modes for 93 and 94, i.e. for only the 
gauge bosons produced in the shower. As above it is here up to the user 
to reweight the event to compensate for the bias introduced, and to watch 
out for possible complications. In this case there is no kinematics bias, 
but one would miss out on topologies where a not-selected decay channel 
could be part of the background to the selected one, notably when more 
than one gauge boson is produced. 
 

     
Note that the common theme is that a bias leads to an event-specific 
weight, since each event is unique. It also means that the cross-section 
information obtained e.g. by Pythia::stat() is misleading, 
since it has not been corrected for such weights. This is different from 
biases in a predetermined hard process, where the net reduction in cross 
section can be calculated once and for all at initialization, and events 
generated with unit weight thereafter. 
 

     
The weak shower introduces a possible doublecounting problem. Namely that it 
is now possible to produce weak bosons in association with jets from two 
different channels, Drell-Yan weak production with QCD emissions and QCD 
hard process with a weak emission. A method, built on a classification of 
each event with the kT jet algorithm, is used to remove the 
doublecounting. Specifically, consider a tentative final state consisting 
of a W/Z and two jets. Based on the principle that the shower 
emission ought to be softer than the hard emission, the emission of a 
hard W/Z should be vetoed in a QCD event, and that of two hard 
jets in a Drell-Yan event. The dividing criterion is this whether the 
first clustering step involves the W/Z or not. It is suggested 
to turn this method on only if you simulate both Drell-Yan weak production 
and QCD hard production with a weak shower. Do not turn on the veto 
algorithm if you only intend to generate one of the two processes. 
 

    variables
     
 
Below are listed the variables related to the weak shower and common to both 
the initial- and final-state radiation. For variables only related to the 
initial-state radiation (e.g. to turn the weak shower on for ISR) see 
Spacelike Showers and for 
final-state radiation see 
Timelike Showers. 
 
 
Enhancement factor for the weak shower. This is used to increase the 
statistics of weak shower emissions. Remember afterwards to correct for 
the additional weak emissions (i.e. divide the rate of weak emissions by 
the same factor). 
 
 
 
This parameter allows to stop the weak shower after a single emission. 

    If on, only a single weak emission is allowed. 

    If off, an unlimited number of weak emissions possible. 
     
 
 
There are two ways to produce weak bosons in association with jets, namely 
Drell-Yan weak production with QCD radiation and QCD hard process with weak 
radiation. In order to avoid double counting between the two production 
channels, a veto procedure built on the kT jet algorithm is 
implemented in the evolution starting from a 2 → 2 QCD process, 
process codes in the range 111 - 129. The veto algorithm finds the first 
cluster step, and if it does not involve a weak boson the radiation of 
the weak boson is vetoed when WeakShower:vetoWeakJets is on. 
Note that this flag does not affect other internal or external processes, 
only the 111 - 129 ones. For the Drell-Yan process the same veto algorithm 
is used, but this time the event should be vetoed if the first clustering 
does contain a weak boson, see WeakShower:vetoQCDjets below. 
 
 
 
This flag vetoes some QCD emission for Drell-Yan weak production to avoid 
doublecounting with weak emission in QCD hard processes. For more 
information see WeakShower:vetoWeakJets above. Note that 
this flag only affects the process codes 221 and 222, i.e. the main 
built-in processes for gamma^*/Z^0/W^+- production, and not 
other internal or external processes. 
 
 
 
The delta R parameter used in the kT clustering for 
the veto algorithm used to avoid double counting. Relates to the relative 
importance given to ISR and FSR emissionbs. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/ParticleDataScheme.xml0000444000175000017500000017534412357055025020051 0ustar  sunsun 
 

    The Particle Data Scheme
     
 
The particle data scheme may take somewhat longer to understand than 
the settings one. In particular the set of methods to access information 
is rather more varied, to allow better functionality for advanced usage. 
However, PYTHIA does come with a sensible default set of particle 
properties and decay tables. Thus there is no need to learn any of the 
methods on this page to get going. Only when you perceive a specific need 
does it make sense to learn the basics. 
 

     
The central section on this page is the Operation one. The preceding 
sections are there mainly to introduce the basic structure and the set 
of properties that can be accessed. The subsequent sections provide a 
complete listing of the existing public methods, which most users 
probably will have little interaction with. 
 

    Databases
     
 
The management of particle data is based on three classes: 

       

    • ParticleData, which is the top-level class, with 
methods that can be used to interrogate all particle data. It contains 
a map of PDG particle identity numbers Yao06 onto the relevant 
ParticleDataEntry objects,
      •  

    • ParticleDataEntry, which stores the relevant information 
on an individual particle species, and
      •  

    • DecayChannel, which stores info on one particular decay 
mode of a particle.
      •  
 

     
The objects of these classes together form a database that is 
continuously being used as the program has to assign particle masses, 
select decay modes, etc. 
 

     
Each Pythia object has a public member 
particleData of the ParticleData class. 
Therefore you access the particle data methods as 
pythia.particleData.command(argument), 
assuming that pythia is an instance of the 
Pythia class. Further, for some of the most frequent user 
tasks, Pythia methods have been defined, so that 
pythia.command(argument) 
would work, see further below. 
 

     
A fundamental difference between the particle data classes and the 
settings ones is that the former are accessed regularly during the 
event generation process, as a new particle is produced and its mass 
need to be set, e.g., while the latter are mainly/only used 
at the initialization stage. Nevertheless, it is not a good idea to 
change data in either of them in mid-run, since this may lead to 
inconsistencies. 
 

    Stored properties for particles
     
 
The main properties stored for each particle are as follows. 
Different ways to set and get these properties will be described 
further down. 
 

       
 

    • name: a character string with the name of the 
particle. Particle and antiparticle names are stored separately, 
with void returned when no antiparticle exists.
      •  
 

    • spinType: the spin type, of the form 2 s + 1, 
with special code 0 for entries of unknown or indeterminate spin.
      •  
 

    • chargeType: three times the charge (to make it an 
integer).
      •  
 

    • colType: the colour type, with 0 uncoloured, 1 triplet, 
-1 antitriplet and 2 octet. (A preliminary implementation of colour 
  sextets, available since version 8.150, further uses 3 for a sextet 
  and -3 for an antisextet.) 
      •  
 

    • m0: the nominal mass m_0 (in GeV).
      •  
 

    • mWidth: the width Gamma of the Breit-Wigner 
distribution (in GeV).
      •  
 

    • mMin: the lower limit of the allowed mass range 
generated by the Breit-Wigner (in GeV). Has no meaning for particles 
without width, and would typically be 0 there.
      •  
 

    • mMax: the upper limit of the allowed mass range 
generated by the Breit-Wigner (in GeV). If mMax < mMin then 
no upper limit is imposed. Has no meaning for particles without width, 
and would typically be 0 there.
      •  
 

    • tau0: the nominal proper lifetime tau_0 
(in mm/c).
      •  
 

    • isResonance: a flag telling whether a particle species 
is considered as a resonance or not. Here 
"resonance" is used as shorthand 
for any massive particle where the decay process should be counted as part 
of the hard process itself, and thus be performed before showers and other 
event aspects are added. Restrictions on allowed decay channels is also 
directly reflected in the cross section of simulated processes, while 
those of normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances.
      •  
 

    • mayDecay: a flag telling whether a particle species 
may decay or not, offering the main user switch. Whether a given particle 
of this kind then actually will decay also depends on it having allowed 
decay channels, and on other flags for 
particle decays 
(or resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays.
      •  
 

    • doExternalDecays: a flag telling whether a particle 
should be handled by an external decay package or not, with the latter 
default. Can be manipulated as described on this page, but should 
normally not be. Instead the 
Pythia::decayPtr(...) 
method should be provided with the list of relevant particles.
      •  
 

    • isVisible: a flag telling whether a particle species 
is to be considered as visible in a detector or not, as used e.g. in 
analysis routines. By default this includes neutrinos and a few BSM 
particles (gravitino, sneutrinos, neutralinos) that have neither strong 
nor electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector.
      •  
 

    • doForceWidth: a flag applicable only for resonances 
(see isResonance above), whereby it is possible to force 
resonances to retain their assigned width, whatever that is, see 
Resonance Decays for details.
      •  
 

     
 

    Stored properties for decays
     
 
An unstable particle has a decay table consisting of one or more 
decay channel. The following properties are stored for each such channel. 
Again different ways to set and get these properties will be described 
further down. 

       
 

    • onMode: integer code for use or not of channel,
       
0 if a channel is off,
       
1 if on,
       
2 if on for a particle but off for an antiparticle,
       
3 if on for an antiparticle but off for a particle.
       
If a particle is its own antiparticle then 2 is on and 3 off 
but, of course, for such particles it is much simpler and safer 
to use only 1 and 0.
       
The 2 and 3 options can be used e.g. to encode CP violation in 
B decays, or to let the W's in a q qbar → W^+ W^- 
process decay in different channels. 
      •  
 

    • bRatio: the branching ratio of the channel 
(with some reservations for resonances, see meMode 
below).
      •  
 

    • meMode: the mode of processing this channel, possibly 
with matrix elements; see the 
particle decays and 
resonance decays 
descriptions for the list of possibilities. 
Notably the default code 0 for a particle means pure phase space 
decays according to the given branching ratios, while for a resonance 
it means that code exists for the dynamic calculations of partial 
widths and thereby branching ratios as a function of the resonance mass 
(which is done e.g. at initialization based on the mass set by the user). 
Then codes 1 - 99 are reserved for various matrix-element-improved 
ordinary particle decays, and 100 - 103 for resonances where the 
partial width of a given channel is calculated from the total width 
and the stored branching ratio. Thus, to enforce a new branching ratio 
for a resonance channel (with its own partial-width calculation code) 
it is not sufficient only to change the bRatio but also 
to set e.g. meMode = 100. 
      •  
 

    • multiplicity: the number of decay products of the 
channel. Can be at most 8.
      •  
 

    • product(i): the identity code of the decay products, 
where i runs between 0 and 
multiplicity - 1. Trailing positions are filled with 0. 

      •  
 

     
 

    Operation
     
 
The normal flow of the particle data operations is: 
 

       
 

    1.  
When a Pythia object pythia is created, the 
pythia.particleData member is asked to scan the 
ParticleData.xml file. 
 

       
All lines beginning with <particle are scanned for 
information on a particle species, and all lines beginning with 
<channel are assumed to contain a decay channel of the 
enclosing particle. In both cases XML syntax is used, with attributes 
used to identify the stored properties, and with omitted properties 
defaulting back to 0 where meaningful. The particle and channel 
information may be split over several lines, up to the > endtoken. 
The format of a <particle tag is: 

       
    <particle id="..." name="..." antiName="..." spinType="..." chargeType="..." colType="..." 
       m0="..." mWidth="..." mMin="..." mMax="..." tau0="..."> 
    </particle> 

       
where the fields are the properties already introduced above. 
Note that isResonance, mayDecay, 
doExternalDecay, isVisible and 
doForceWidth are not set here, but are provided with 
default values by the rules described above. Once initialized, also 
these latter properties can be changed, see below.
       
 
The format of  a <channel> tag is: 

       
    <channel onMode="..." bRatio="..." meMode="..." products="..." /> 

       
again see properties above. The products are given as a blank-separated 
list of id codes. 
Important: the values in the .xml file should not 
be changed, except by the PYTHIA authors. Any changes should be done 
with the help of the methods described below. 

      2.  
 

    2.  
       
Between the creation of the Pythia object and the 
init call for it, you may use the methods of the 
ParticleData class to modify some of the default values. 
Several different approaches can be chosen for this. 
 

       
a) Inside your main program you can directly set values with 

       
    pythia.readString(string); 

       
where both the variable name and the value are contained inside 
the character string, separated by blanks and/or a =, e.g. 

       
    pythia.readString("111:mayDecay = off"); 

       
switches off the decays of the pi^0.
       
 
The particle id (> 0) and the property to be changed must be given, 
separated by a colon.
       
 
The allowed properties are: name, antiName, 
spinType, chargeType, colType, 
m0, mWidth, mMin, 
mMax, tau0, isResonance, 
mayDecay, doExternalDecay, 
isVisible and doForceWidth. All of these 
names are case-insensitive. Names that do not match an existing 
variable are ignored.
       
 
Strings beginning with a non-alphanumeric character, like # or !, 
are assumed to be comments and are not processed at all. For 
bool values, the following notation may be used 
interchangeably: true = on = yes = ok = 1, while everything 
else gives false (including but not limited to 
false, off, no and 
0). 
 

       
Particle data often comes in sets of closely related information. 
Therefore some properties expect the value to consist of several 
numbers. These can then be separated by blanks (or by commas). 
A simple example is names, which expects both the 
name and antiname to be given. A more interesting one is the 
all property, 

       
    id:all = name antiName spinType chargeType colType m0 mWidth mMin mMax tau0 

       
where all the current information on the particle itself is replaced, 
but any decay channels are kept unchanged. Using new instead 
of all also removes any previous decay channels. 
If the string contains fewer fields than expected the trailing 
properties are set to vanish ("void", 0 or 0.). Note that such a 
truncated string should not be followed by a comment, since this 
comment would then be read in as if it contained the missing properties. 
The truncation can be done anywhere, specifically a string with only 
id:new defines a new "empty" particle. 
As before, isResonance, mayDecay, 
doExternalDecay, isVisible and 
doForceWidth are (re)set to their default values, and 
would have to be changed separately if required. 
 

       
A further command is rescaleBR, which rescales each of the 
existing branching ratios with a common factor, such that their new 
sum is the provided value. This may be a first step towards adding 
new decay channels, see further below. 
 

       
Alternatively the id code may be followed by another integer, 
which then gives the decay channel number. This then has to be 
followed by the property specific to this channel, either 
onMode, bRatio, meMode or 
products. In the latter case all the products of 
the channel should be given: 

       
    id:channel:products =  product1 product2 .... 

       
The line will be scanned until the end of the line, or until a 
non-number word is encountered, or until the maximum allowed number 
of eight products is encountered, whichever happens first. (Thus the 
multiplicity of a decay channel need not be input; it is automatically 
calculated from the products list.) It is also possible to replace all 
the properties of a channel in a similar way: 

       
    id:channel:all = onMode bRatio meMode product1 product2 .... 

       
To add a new channel at the end, use 

       
    id:addChannel = onMode bRatio meMode product1 product2 .... 

       
 

       
It is currently not possible to remove a channel selectively, but 
setting its branching ratio vanishing is as effective. If you want to 
remove all existing channels and force decays into one new channel 
you can use 

       
    id:oneChannel = onMode bRatio meMode product1 product2 .... 

       
 A first oneChannel command could be followed by 
several subsequent addChannel ones, to build 
up a completely new decay table for an existing particle. 
 

       
When adding new channels or changing branching ratios in general, 
note that, once a particle is to be decayed, the sum of branching 
ratios is always rescaled to unity. Beforehand, rescaleBR 
may be used to rescale an existing branching ratio by the given factor. 
 

       
There are a few commands that will study all the decay channels of the 
given particle, to switch them on or off as desired. The 

       
    id:onMode = onMode 

       
will set the onMode property of all channels to the 
desired value. The 

       
    id:offIfAny   = product1 product2 .... 
    id:onIfAny    = product1 product2 .... 
    id:onPosIfAny = product1 product2 .... 
    id:onNegIfAny = product1 product2 .... 

       
will set the onMode 0, 1, 2 or 3, respectively, for all 
channels which contain any of the enumerated products, where the matching 
to these products is done without distinction of particles and 
antiparticles. Note that "Pos" and "Neg" 
are slightly misleading since it refers to the particle and antiparticle 
of the id species rather than charge, but should still be 
simpler to remember and understand than alternative notations. 
Correspondingly 

       
    id:offIfAll   = product1 product2 .... 
    id:onIfAll    = product1 product2 .... 
    id:onPosIfAll = product1 product2 .... 
    id:onNegIfAll = product1 product2 .... 

       
will set the onMode 0, 1, 2 or 3, respectively, for all 
channels which contain all of the enumerated products, again without 
distinction of particles and antiparticles. If the same product appears 
twice in the list it must also appear twice in the decay channel, and 
so on. The decay channel is allowed to contain further particles, 
beyond the product list. By contrast, 

       
    id:offIfMatch   = product1 product2 .... 
    id:onIfMatch    = product1 product2 .... 
    id:onPosIfMatch = product1 product2 .... 
    id:onPosIfMatch = product1 product2 .... 

       
requires the decay-channel multiplicity to agree with that of the product 
list, but otherwise works as the onIfAll/offIfAll methods. 
 

       
Note that the action of several of the commands depends on the order 
in which they are executed, as one would logically expect. For instance, 
id:oneChannel removes all decay channels of id 
and thus all previous changes in this decay table, while subsequent 
additions or changes would still take effect. Another example would be that 
23:onMode = off followed by 23:onIfAny = 1 2 3 4 5 
would let the Z^0 decay to quarks, while no decays would be 
allowed if the order were to be reversed. 
 

       
b) The Pythia readString(string) method actually 
does not do changes itself, but sends on the string either to the 
ParticleData class or to the Settings one, 
depending on whether the string begins with a digit or a letter. 
If desired, it is possible to communicate directly with the corresponding 
ParticleData method: 

       
    pythia.particleData.readString("111:mayDecay = off"); 
    pythia.particleData.readString("15:2:products = 16 -211"); 

       
In this case, changes intended for Settings would not be 
understood. 
 

       
c) Underlying this are commands for all the individual properties in 
the ParticleData class, one for each. These are 
further described below. Thus, an example now reads 

       
    pythia.particleData.mayDecay(111, false); 

       
Boolean values should here be given as true or 
false. 
 

       
d) A simpler and more useful way is to collect all your changes 
in a separate file, with one line per change, e.g. 

       
    111:mayDecay = off 

       
The file can be read by the 

       
    pythia.readFile(fileName); 

       
method, where fileName is a string, e.g. 
pythia.readFile("main.cmnd") (or an istream 
instead of a fileName). Each line is processed as 
described for the string in 2a). This file can freely mix commands to 
the Settings and ParticleData classes. 

      3.  
 

    3.  
       
A routine reInit(fileName) is provided, and can be used to 
zero the particle data table and reinitialize it from scratch. 
Such a call might be useful if several subruns are to be made with 
widely different particle data - normally the maps are only built 
from scratch once, namely when the Pythia() object is 
created. Also, there is no other possibility to restore the default 
values, unlike for the settings. 

      4.  
 

    4.  
       
You may at any time obtain a listing of all the particle data by calling 

       
    pythia.particleData.listAll(); 

       
The listing is by increasing id number. It shows the basic 
quantities introduced above. Some are abbreviated in the header to fit on 
the lines: spn = spinType, chg = chargeType, 
col = colType, res = isResonance, 
dec = mayDecay && canDecay (the latter checks that decay 
channels have been defined), ext = doExternalDecay, 
vis = isVisible and wid = doForceWidth.
       
 
To list only those particles that were changed (one way or another, the 
listing will not tell what property or decay channel was changed), instead use 

       
    pythia.particleData.listChanged(); 

       
(This info is based on a further hasChanged flag of a particle 
or a channel, set true whenever any of the changing methods are 
used. It is possible to manipulate this value, but this is not recommended.) 
By default the internal initialization of the widths of resonances such as 
gamma^*/Z^0, W^+-, t/tbar, H^0 do not count as changes; if you want 
to list also those changes instead call listChanged(true). 

       
 
To list only one particle, give its id code as argument to 
the list(...) function.. To list a restricted set of particles, 
give in their id codes to list(...) as a 
vector<int>. 

      5.  
 

    5.  
       
For wholesale changes of particle properties all available data can be 
written out, edited, and then read back in again. These methods are 
mainly intended for expert users. You can choose between two alternative 
syntaxes. 
 

       
a) XML syntax, using the <particle and 
<channel lines already described. You use the method 
particleData.listXML(fileName) to produce such an XML 
file and particleData.readXML(fileName) to read it back 
in after editing. 
 

       
b) Fixed/free format, using exactly the same information as illustrated 
for the <particle and <channel lines 
above, but now without any tags. This means that all information fields 
must be provided (if there is no antiparticle then write 
void), in the correct order (while the order is irrelevant 
with XML syntax), and all on one line. Information is written out in 
properly lined-up columns, but the reading is done using free format, 
so fields need only be separated by at least one blank. Each new particle 
is supposed to be separated by (at least) one blank line, whereas no 
blank lines are allowed between the particle line and the subsequent 
decay channel lines, if any.  You use the method 
particleData.listFF(fileName) to produce such a fixed/free 
file and particleData.readFF(fileName) to read it back 
in after editing. 
 

       
As an alternative to the readXML and readFF 
methods you can also use the 
particleData.reInit(fileName, xmlFormat) method, where 
xmlFormat = true (default) corresponds to reading an XML 
file and xmlFormat = false to a fixed/free format one. 
 

       
To check that the new particle and decay tables makes sense, you can use 
the particleData.checkTable() method, either directly or by 
switching it on among the standard 
error checks. 

      6.  
 

     
 

    The public methods
     
 
In the following we present briefly the public methods in the three 
classes used to build up the particle database. The order 
is top-down, i.e from the full table of all particles to a single 
particle to a single channel. 
Note that these methods usually are less elegant and safe than the 
input methods outlined above. If you use any of these methods, it is 
likely to be the ones in the full database, i.e. the first ones to be 
covered in the following. 
 

     
For convenience, we have grouped related input and output methods 
together. It should be obvious from the context which is which: 
the input is of type void and has an extra last argument, 
namely is the input value, while the output method returns a 
quantity of the expected type. 
 

    The ParticleData methods
     
 
 
the constructor has no arguments and does not do anything. Internal. 
 
 
 
initialize pointers to a few other classes. Internal. 
 
 
 
read in an XML-style file with particle data and initialize the 
particle data tables accordingly. This command is executed 
in the Pythia constructor, i.e. is mainly for 
internal use. 
 
the name of the data file to be read. When called from the 
Pythia constructor the directory is provided by the 
PYTHIA8DATA 
environment variable, if set, else by the argument of this constructor, 
which has the default value "../xmldoc". 
 
 
 
 
overwrite the existing database by reading from the specified file. 
Unlike init above this method is not called by the 
Pythia constructor, but is entirely intended for users 
who want to replace the existing particle data with their own. 
the path and name of file to be read. 
 
if true read the same kind of XML-style file 
as used by init, if not use an alternative "free format" 
file (i.e. without any XML tags, but with well-defined rules 
specifying in which order properties are stored). 
 
 
 
 
initialize Breit-Wigner shape parameters for all particles, 
and the detailed handling of resonances, i.e. particles with 
perturbatively calculable partial widths, which can be used to 
obtain a mass-dependent Breit-Wigner and a dynamic choice of 
decay channels. Called from Pythia::init(). 
 
 
 
 
 
read in XML-style data from a file or write it out to a file. For the 
former one can also decide whether to reset all particles to scratch, 
or only overwrite those particles in the file. The former method is 
used by init and reInit above. 
 
 
 
 
 
read in free-format-style data from a file or write it out to a file. 
For the former one can also decide whether to reset all particles to 
scratch, or only overwrite those particles in the file. The former 
method is used by reInit above. 
 
 
 
read in a string and interpret is as a new or changed particle data. 
The possibilities are extensively described above. It is normally 
used indirectly, via Pythia::readString(...) and 
Pythia::readFile(...). 
 
the string to be interpreted as an instruction. 
 
 
write a warning message or not whenever the instruction does not make 
sense, e.g. if the particle does not exist in the database. 
 
 
stream for error printout. 
 
Note: the method returns false if it fails to 
make sense out of the input string. 
 
 
 
 
 
 
 
 
 
methods intended to present a listing of particle data in a readable 
format. The first three are special cases of the fourth. The first 
lists all particle data, the second only data for those particles that 
were changed after the original creation of the particle data table. 
Resonances are a special case since they can get their data changed 
by being linked to an object that does the calculation of branching 
ratios. The second method does not count such resonances as changed, 
whereas the third does and thus lists all resonances. 
 
 
 
 
 
list particle data for one single particle, with the identity code as 
input, or for a set of particles, with an input vector of identity codes. 
 
 
 
 
 
check that the particle decay table makes sense, especially for decays. 
 level of checks. 0 is only minimal, 
e.g. if a particle has no open decay channels. 1, which is the level 
of the first method, provides warning if any individual channel is 
closed, except for resonances. 2 also prints the 
branching-ratio-averaged threshold mass. 11 and 12 are like 1 and 2, 
but also include resonances in the detailed checks. 
 
 
 
 
 
 
add a particle to the decay table; in the first form a particle which is 
its own antiparticle, in the second where a separate antiparticle exists. 
 
 
 
change all the properties of the particle associated with a given 
identity code. 
 
 
 
query whether the particle data table contains the particle of the 
identity code. 
 
 
 
return the identity code of the sequentially next particle stored in table. 
 
 
 
bool whether a distinct antiparticle exists or not. Is true if an 
antiparticle name has been set (and is different from 
void). 
 
 
 
 
 
 
 
 
 
particle and antiparticle names are stored separately, the sign of 
id determines which of the two is returned, with 
void used to indicate the absence of an antiparticle. 
 
 
 
 
 
the spin type, of the form 2 s + 1, with special code 0 
for entries of unknown or indeterminate spin. 
 
 
 
 
 
three times the charge (to make it an integer), taking into account 
the sign of id. 
 
 
 
the electrical charge of a particle, equal to 
chargeType(id)/3. 
 
 
 
 
 
the colour type, with 0 uncoloured, 1 triplet, -1 antitriplet and 2 
octet, taking into account the sign of id. 
 
 
 
 
 
the nominal mass m_0 (in GeV). 
 
 
 
 
 
the width Gamma of the Breit-Wigner distribution (in GeV). 
 
 
 
 
 
the lower limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). Has no meaning for particles without width, and would 
typically be 0 there. 
 
 
 
 
 
the upper limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). If mMax < mMin then no upper limit is imposed. 
Has no meaning for particles without width, and would typically 
be 0 there. 
 
 
 
similar to mMin() above, except that for particles with 
no width the m0(id) value is returned. 
 
 
 
similar to mMax() above, except that for particles with 
no width the m0(id) value is returned. 
 
 
 
 
 
the nominal proper lifetime tau_0 (in mm/c). 
 
 
 
 
 
a flag telling whether a particle species are considered as a resonance 
or not. Here "resonance" 
is used as shorthand for any massive particle 
where the decay process should be counted as part of the hard process 
itself, and thus be performed before showers and other event aspects 
are added. Restrictions on allowed decay channels is also directly 
reflected in the cross section of simulated processes, while those of 
normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances. 
 
 
 
 
 
a flag telling whether a particle species may decay or not, offering 
the main user switch. Whether a given particle of this kind then actually 
will decay also depends on it having allowed decay channels, and on 
other flags for particle decays 
(or resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays. 
 
 
 
 
 
a flag telling whether a particle should be handled by an external 
decay package or not, with the latter default. Can be manipulated as 
described on this page, but should normally not be. Instead the 
pythia.decayPtr 
method should be provided with the list of relevant particles. 
 
 
 
 
 
a flag telling whether a particle species is to be considered as 
visible in a detector or not, as used e.g. in analysis routines. 
By default this includes neutrinos and a few BSM particles 
(gravitino, sneutrinos, neutralinos) that have neither strong nor 
electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector. 
 
 
 
 
 
a flag applicable only for resonances (see isResonance above), 
whereby it is possible to force resonances to retain their assigned widths, 
whatever that is, see Resonance Decays 
for details. The normal behaviour is false, i.e. the width 
is based on hardcoded calculations whenever available. 
 
 
 
 
 
keep track of whether the data for a particle has been changed 
in any respect between initialization and the current status. 
Is used e.g. by the listChanged method to determine 
which particles to list. 
 
 
 
tells whether a particle will have a Breit-Wigner mass distribution or 
not. Is determined by an internal logic based on the particle width and 
on the value of the 
ParticleData:modeBreitWigner 
switch. 
 
 
 
is the constituent mass for a quark, hardcoded as 
m_u = m_d = 0.325, m_s = 0.50, m_c = 1.60 
and m_b = 5.0 GeV, for a diquark the sum of quark constituent 
masses, and for everything else the same as the ordinary mass. 
 
 
 
returns a mass distributed according to a truncated Breit-Wigner, 
with parameters as described here. Is equal to m0(id) for 
particles without width. 
 
 
 
calculate the running mass of species id when probed at a 
hard mass scale of mH. Only applied to obtain the 
running quark masses; for all other particle the normal fixed mass 
is used. 
 
 
 
true for a particle with at least one decay channel defined. 
 
 
 
true for a lepton or an antilepton (including neutrinos). 
 
 
 
true for a quark or an antiquark. 
 
 
 
true for a gluon. 
 
 
 
true for a diquark or antidiquark. 
 
 
 
true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
 
 
 
true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
 
 
 
true for a meson. 
 
 
 
true for a baryon or antibaryon. 
 
 
 
true for an intermediate hadron-like state with a colour octet charge 
as used in the colour octet model for 
onia production. 
 
 
 
extracts the heaviest quark or antiquark, i.e. one with largest 
id number, for a hadron. 
 
 
 
is 1 for a quark, 2 for a diquark, 3 for a baryon, the same with a 
minus sign for antiparticles, and else zero. 
 
 
 
rescales all partial branching ratios by a common factor, such that 
the sum afterward becomes newSumBR. 
 
 
 
set a pointer for a particle kind to a ResonanceWidths object. 
This is done, from inside ParticleData::initWidths, only for 
resonances, i.e. for particles such as Z^0, W^+-, top, 
Higgs, and new unstable states beyond the Standard Model. The presence 
of such an object will allow a more dynamic calculation of partial and 
total widths, as illustrated by the following methods. 
 
 
 
initialize the treatment of a resonance. 
 
 
 
calculate the total with for a resonance of a given current mass, 
optionally including coupling to incoming flavour state (consider 
the gamma*/Z^0 combination), optionally excluding decay 
channels that have been closed by the user, and optionally storing 
the results in the normal decay table. 
 
 
 
special case of resWidth, where only open channels are 
included, but results are not stored in the normal decay table. 
 
 
 
special case of resWidth, where only open channels are 
included, and results are stored in the normal decay table. 
 
 
 
calculate the fraction of the full branching ratio that is left 
open by the user choice of allowed decay channels. Can be applied 
to a final state with up to three resonances. Since the procedure 
is multiplicative, it would be easy to generalize also to more. 
 
 
 
the factor used to rescale all partial widths in case the total 
width is being forced to a specific value by the user. 
 
 
 
special case to calculate one final-state width; currently only used 
for Higgs decay to q qbar, g g or 
gamma gamma. 
 
 
 
returns a pointer to the ParticleDataEntry object. 
The methods in the next section can then be used to manipulate 
this object. 
 
  

    The ParticleDataEntry methods
     
 
Most of the methods that can be applied to a single 
ParticleDataEntry object are almost identical with 
those used above for the ParticleData, except 
that the id argument is no longer needed to find 
the right entry in the table. By and large, this makes direct 
access to the ParticleDataEntry methods superfluous. 
There are a few methods that are unique to each class, however. 
Furthermore, to avoid some naming ambiguities, many methods that 
set values begin with set. 
 
 
 
 
there are two alternative constructors, that both expect the 
properties of a particle as input. The first assumes that there 
is only one particle, the latter that there is a 
particle-antiparticle pair (but if the antiparticle name is 
void one reverts back to the particle-only case). 
 
 
 
the destructor is needed to delete any ResonanceWidths 
objects that have been created and linked to the respective particle. 
 
 
 
initialize some particle flags with default values, e.g. whether 
a particle is a resonance, may decay, or is visible. Is called from the 
constructors and from setAll. 
 
 
 
initialize pointer back to the whole database (so that masses of 
decay products can be accessed, e.g.). 
 
 
 
change all the properties of the particle associated with a given 
identity code. 
 
 
 
the PDG identity code. 
 
 
 
tell whether a separate antiparticle exists. 
 
 
 
 
 
 
 
 
 
set or get the particle or antiparticle name. Only the sign of 
id is needed to distinguish particle/antiparticle. 
 
 
 
 
 
set or get the particle spin type, i.e. 2 s + 1, or 0 in some 
special cases. 
 
 
 
 
 
 
 
set or get the particle charge type, i.e. three times the charge, 
or the charge itself. Only the sign of id is needed 
to distinguish particle/antiparticle. 
 
 
 
 
 
set or get the particle colour type, 0 for singlet, 1 for triplet, 
-1 for antitriplet, 2 for octet. Only the sign of id 
is needed to distinguish particle/antiparticle. 
 
 
 
 
 
the nominal mass m_0 (in GeV). 
 
 
 
 
 
the width Gamma of the Breit-Wigner distribution (in GeV). 
 
 
 
 
 
the lower limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). Has no meaning for particles without width, and would 
typically be 0 there. 
 
 
 
 
 
the upper limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). If mMax < mMin then no upper limit is imposed. 
Has no meaning for particles without width, and would typically 
be 0 there. 
 
 
 
similar to mMin() above, except that for particles with 
no width the m0(id) value is returned. 
 
 
 
similar to mMax() above, except that for particles with 
no width the m0(id) value is returned. 
 
 
 
 
 
the nominal proper lifetime tau_0 (in mm/c). 
 
 
 
 
 
a flag telling whether a particle species are considered as a resonance 
or not. Here "resonance" 
is used as shorthand for any massive particle 
where the decay process should be counted as part of the hard process 
itself, and thus be performed before showers and other event aspects 
are added. Restrictions on allowed decay channels is also directly 
reflected in the cross section of simulated processes, while those of 
normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances. 
 
 
 
 
 
a flag telling whether a particle species may decay or not, offering 
the main user switch. Whether a given particle of this kind then actually 
will decay also depends on it having allowed decay channels, and on 
other flags for particle decays 
(or resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays. 
 
 
 
 
 
a flag telling whether a particle should be handled by an external 
decay package or not, with the latter default. Can be manipulated as 
described on this page, but should normally not be. Instead the 
pythia.decayPtr 
method should be provided with the list of relevant particles. 
 
 
 
 
 
a flag telling whether a particle species is to be considered as 
visible in a detector or not, as used e.g. in analysis routines. 
By default this includes neutrinos and a few BSM particles 
(gravitino, sneutrinos, neutralinos) that have neither strong nor 
electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector. 
 
 
 
 
 
a flag applicable only for resonances (see isResonance above), 
whereby it is possible to force resonances to retain their assigned widths, 
whatever that is, see Resonance Decays 
for details. The normal behaviour is false, i.e. the width 
is based on hardcoded calculations whenever available. 
 
 
 
 
 
keep track of whether the data for a particle has been changed 
in any respect between initialization and the current status. 
Is used e.g. by the ParticleData::listChanged method 
to determine which particles to list. 
 
 
 
Prepare the Breit-Wigner mass selection by precalculating 
frequently-used expressions. 
 
 
 
is the constituent mass for a quark, hardcoded as 
m_u = m_d = 0.325, m_s = 0.50, m_c = 1.60 
and m_b = 5.0 GeV, for a diquark the sum of quark constituent 
masses, and for everything else the same as the ordinary mass. 
 
 
 
give the mass of a particle, either at the nominal value 
or picked according to a (linear or quadratic) Breit-Wigner. 
 
 
 
calculate the running quark mass at a hard scale mH. 
For other particles the on-shell mass is given. 
 
 
 
tells whether a particle will have a Breit-Wigner mass distribution or 
not. Is determined by an internal logic based on the particle width and 
on the value of the  
ParticleData:modeBreitWigner switch. 
 
 
 
true for a particle with at least one decay channel defined. 
 
 
 
true for a lepton or an antilepton (including neutrinos). 
 
 
 
true for a quark or an antiquark. 
 
 
 
true for a gluon. 
 
 
 
true for a diquark or antidiquark. 
 
 
 
true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
 
 
 
true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
 
 
 
true for a meson. 
 
 
 
true for a baryon or antibaryon. 
 
 
 
true for an intermediate hadron-like state with a colour octet charge 
as used in the colour octet model for 
onia production. 
 
 
 
extracts the heaviest quark or antiquark, i.e. one with largest 
id number, for a hadron. Only the sign of the input 
argument is relevant. 
 
 
 
is 1 for a quark, 2 for a diquark, 3 for a baryon, the same with a 
minus sign for antiparticles, and else zero. Only the sign of the 
input argument is relevant. 
 
 
 
resets to an empty decay table. 
 
 
 
adds a decay channel with up to 8 products. 
 
 
 
returns the number of decay channels for a particle. 
 
 
 
 
 
gain access to a specified channel in the decay table. 
 
 
 
rescales all partial branching ratios by a common factor, such that 
the sum afterward becomes newSumBR. 
 
 
 
prepare to pick a decay channel. 
 
 
 
pick a decay channel according to branching ratios from 
preparePick. 
 
 
 
 
 
set or get a pointer to an object that can be used for dynamic calculation 
of partial and total resonance widths. Here a resonance is a particle 
such as top, Z^0, W^+-, Higgs, and new unstable states 
beyond the Standard Model. 
 
 
 
initialize the treatment of a resonance. 
 
 
 
calculate the total with for a resonance of a given current mass, 
optionally including coupling to incoming flavour state (consider 
the gamma*/Z^0 combination), optionally excluding decay 
channels that have been closed by the user, and optionally storing 
the results in the normal decay table. For the first argument only 
the sign is relevant. 
 
 
 
special case of resWidth, where only open channels are 
included, but results are not stored in the normal decay table. 
 
 
 
special case of resWidth, where only open channels are 
included, and results are stored in the normal decay table. 
 
 
 
calculate the fraction of the full branching ratio that is left 
open by the user choice of allowed decay channels. 
 
 
 
the factor used to rescale all partial widths in case the total 
width is being forced to a specific value by the user. 
 
 
 
special case to calculate one final-state width; currently only used 
for Higgs decay to q qbar, g g or 
gamma gamma. 
 
 

    The DecayChannel methods
     
 
The properties stored in an individual decay channel can be set or get 
by the methods in this section. 
 
 
the constructor for a decay channel. Internal. 
 
 
 
 
 
set or get the onMode of a decay channel,
     
0 if a channel is off,
     
1 if on,
     
2 if on for a particle but off for an antiparticle,
     
3 if on for an antiparticle but off for a particle.
     
If a particle is its own antiparticle then 2 is on and 3 off 
but, of course, for such particles it is much simpler and safer 
to use only 1 and 0.
     
The 2 and 3 options can be used e.g. to encode CP violation in 
B decays, or to let the W's in a q qbar → W^+ W^- 
process decay in different channels. 
     
 
 
 
 
set or get the branching ratio of the channel. Second argument only 
for internal use. 
 
 
 
multiply the current branching ratio by fac. 
 
 
 
 
 
set or get the mode of processing this channel, possibly with matrix 
elements (see the particle decays 
and resonance decays descriptions). 
 
 
 
 
 
set or get the number of decay products in a channel, at most 8. 
(Is normally not to be set by hand, since it is automatically 
updated whenever the products list is changed.) 
 
 
 
 
 
set or get a list of the decay products, 8 products 0 <= i < 8, 
with trailing unused ones set to 0. 
 
 
 
 
 
used for internal purposes, to know which decay modes have been changed. 
 
 
 
 
 
 
 
find if the decay product list contains the one, two or three particle 
identities provided. If the same code is repeated then so must it be in 
the products list. Matching also requires correct sign. 
 
 
 
 
 
set or get the current branching ratio, taking into account on/off 
switches and dynamic width for resonances. For internal use. 
 
 
 
 
 
set or get the current partial width of the channel; intended for 
resonances where the widths are recalculated based on the current 
resonance mass. For internal use. 
 
 
 
multiply the current partial width by factor. 
 
 
 
 
 
set or get the fraction of secondary open widths, separately for 
positive and negative particles. For internal use. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/FourVectors.xml0000444000175000017500000003524112357055017016640 0ustar  sunsun 
 

    Four-Vectors
     
 
The Vec4 class gives a simple implementation of four-vectors. 
The member function names are based on the assumption that these 
represent four-momentum vectors. Thus one can get or set 
p_x, p_y, p_z and e, but not x, y, z 
or t. This is only a matter of naming, however; a 
Vec4 can equally well be used to store a space-time 
four-vector. 
  

     
The Particle object contains a Vec4 p that 
stores the particle four-momentum, and another Vec4 vProd 
for the production vertex. For the latter the input/output method 
names are adapted to the space-time character rather than the normal 
energy-momentum one. Thus a user would not normally access the 
Vec4 classes directly, but only via the methods of the 
Particle class, 
see Particle Properties. 
 

     
Nevertheless you are free to use the PYTHIA four-vectors, e.g. as 
part of some simple analysis code based directly on the PYTHIA output, 
say to define the four-vector sum of a set of particles. But note that 
this class was never set up to allow complete generality, only  to 
provide the operations that are of use inside PYTHIA. There is no 
separate class for three-vectors, since such can easily be represented 
by four-vectors where the fourth component is not used. 
 

     
Four-vectors have the expected functionality: they can be created, 
copied, added, multiplied, rotated, boosted, and manipulated in other 
ways. Operator overloading is implemented where reasonable. Properties 
can be read out, not only the components themselves but also for derived 
quantities such as absolute momentum and direction angles. 
 

    Constructors and basic operators
     
 
A few methods are available to create or copy a four-vector: 
 
 
creates a four-vector, by default with all components set to 0. 
 
 
 
creates a four-vector copy of the input four-vector. 
 
 
 
copies the input four-vector. 
 
 
 
gives a  four-vector with all components set to value. 
 
 

    Member methods for input
     
 
The values stored in a four-vector can be modified in a few different 
ways: 
 
 
sets all components to 0. 
 
 
 
sets all components to their input values. 
 
 
 
sets all components equal to those of the input four-vector. 
 
 
 
 
 
 
 
 
 
sets the respective component to the input value. 
 
 

    Member methods for output
     
 
A number of methods provides output of basic or derived quantities: 
 
 
 
 
 
 
 
 
gets the respective component. 
 
 
 
 
 
the (squared) mass, calculated from the four-vectors. 
If m^2 < 0 the mass is given with a minus sign, 
-sqrt(-m^2).  Note the possible loss of precision 
in the calculation of E^2 - p^2; for particles the 
correct mass is stored separately to avoid such problems. 
 
 
 
 
 
the (squared) transverse momentum. 
 
 
 
 
 
the (squared) absolute momentum. 
 
 
 
 
 
the (squared) transverse energy, 
eT = e * sin(theta) = e * pT / pAbs. 
 
 
 
the polar angle, in the range 0 through 
pi. 
 
 
 
the azimuthal angle, in the range -pi through pi. 
 
 
 
the angle in the xz plane, in the range -pi through 
pi, with 0 along the +z axis. 
 
 
 
 
 
the combinations E+-p_z. 
 
 
 
 
true rapidity y and pseudorapidity eta. 
 
 

    Friend methods for output
     
 
There are also some friend methods that take one, two 
or three four-vectors as argument. Several of them only use the 
three-vector part of the four-vector. 
 
 
writes out the values of the four components of a Vec4 and, 
within brackets, a fifth component being the invariant length of the 
four-vector, as provided by mCalc() above, and it all 
ended with a newline. 
 
 
 
 
 
the (squared) invariant mass. 
 
 
 
the three-product. 
 
 
 
the cross-product. 
 
 
 
 
 
the (cosine) of the opening angle between the vectors, 
in the range 0 through pi. 
 
 
 
 
 
the (cosine) of the azimuthal angle between the vectors around the 
z axis, in the range 0 through pi. 
 
 
 
 
 
the (cosine) of the azimuthal angle between the first two vectors 
around the direction of the third, in the range 0 through pi. 
 
 
 
 
 
the R distance measure, in (y, phi) or 
(eta, phi) cylindrical coordinates, i.e. 
R^2 = (y_1 - y_2)^2 + (phi_1 - phi_2)^2 and equivalent. 
 
 

    Operations with four-vectors
     
 
Of course one should be able to add, subtract and scale four-vectors, 
and more: 
 
 
return a vector with flipped sign for all components, while leaving 
the original vector unchanged. 
 
 
 
add a four-vector to an existing one. 
 
 
 
subtract a four-vector from an existing one. 
 
 
 
multiply all four-vector components by a real number. 
 
 
 
divide all four-vector components by a real number. 
 
 
 
add two four-vectors. 
 
 
 
subtract two four-vectors. 
 
 
 
 
 
multiply a four-vector by a real number. 
 
 
 
divide a four-vector by a real number. 
 
 
 
four-vector product. 
 
 

     
There are also a few related operations that are normal member methods: 
 
 
multiply the three-vector components by f, but keep the 
fourth component unchanged. 
 
 
 
multiply all four-vector components by f. 
 
 
 
flip the sign of the three-vector components, but keep the 
fourth component unchanged. 
 
 
 
flip the sign of all four-vector components. 
 
 

    Rotations and boosts
     
 
A common task is to rotate or boost four-vectors. In case only one 
four-vector is affected the operation may be performed directly on it. 
However, in case many particles are affected, the helper class 
RotBstMatrix can be used to speed up operations. 
 
 
rotate the three-momentum with the polar angle theta 
and the azimuthal angle phi. 
 
 
 
rotate the three-momentum with the azimuthal angle phi 
around the direction defined by the (n_x, n_y, n_z) 
three-vector. 
 
 
 
rotate the three-momentum with the azimuthal angle phi 
around the direction defined by the three-vector part of n. 
 
 
 
boost the four-momentum by beta = (beta_x, beta_y, beta_z). 
 
 
 
boost the four-momentum by beta = (beta_x, beta_y, beta_z), 
where the gamma = 1/sqrt(1 - beta^2) is also input to allow 
better precision when beta is close to unity. 
 
 
 
boost the four-momentum by beta = (p_x/E, p_y/E, p_z/E). 
 
 
 
boost the four-momentum by beta = (p_x/E, p_y/E, p_z/E), 
where the gamma = E/m is also calculated from input to allow 
better precision when beta is close to unity. 
 
 
 
boost the four-momentum by beta = (-p_x/E, -p_y/E, -p_z/E). 
 
 
 
boost the four-momentum by beta = (-p_x/E, -p_y/E, -p_z/E), 
where the gamma = E/m is also calculated from input to allow 
better precision when beta is close to unity. 
 
 
 
perform a combined rotation and boost; see below for a description 
of the RotBstMatrix. 
 
 

     
For a longer sequence of rotations and boosts, and where several 
Vec4 are to be rotated and boosted in the same way, 
a more efficient approach is to define a RotBstMatrix, 
which forms a separate auxiliary class. You can build up this 
4-by-4 matrix by successive calls to the methods of the class, 
such that the matrix encodes the full sequence of operations. 
The order in which you do these calls must agree with the imagined 
order in which the rotations/boosts should be applied to a 
four-momentum, since in general the operations do not commute. 
 
 
creates a diagonal unit matrix, i.e. one that leaves a four-vector 
unchanged. 
 
 
 
creates a copy of the input matrix. 
 
 
 
copies the input matrix. 
 
 
 
rotate by this polar and azimuthal angle. 
 
 
 
rotate so that a vector originally along the +z axis becomes 
parallel with p. More specifically, rotate by -phi, 
theta and phi, with angles defined by p. 
 
 
 
boost by this beta vector. 
 
 
 
 
 
boost with a beta = p/E or beta = -p/E, respectively. 
 
 
 
boost so that p_1 is transformed to p_2. It is assumed 
that the two vectors obey p_1^2 = p_2^2. 
 
 
 
boost and rotate to the rest frame of p_1 and p_2, 
with p_1 along the +z axis. 
 
 
 
rotate and boost from the rest frame of p_1 and p_2, 
with p_1 along the +z axis, to the actual frame of 
p_1 and p_2, i.e. the inverse of the above. 
 
 
 
combine the current matrix with another one. 
 
 
 
invert the matrix, which corresponds to an opposite sequence and sign 
of rotations and boosts. 
 
 
 
reset to no rotation/boost; i.e. the default at creation. 
 
 
 
crude estimate how much a matrix deviates from the unit matrix: 
the sum of the absolute values of all non-diagonal matrix elements 
plus the sum of the absolute deviation of the diagonal matrix 
elements from unity. 
 
 
 
writes out the values of the sixteen components of a 
RotBstMatrix, on four consecutive lines and 
ended with a newline. 
 
 
 
 
 
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pythia8-8.1.86.orig/xmldoc/HiggsProcesses.xml0000444000175000017500000011161012357055020017274 0ustar  sunsun 
 

    Higgs Processes
     
 
This page documents Higgs production within and beyond the Standard Model 
(SM and BSM for short). This includes several different processes and, 
for the BSM scenarios, a large set of parameters that would only be fixed 
within a more specific framework such as MSSM. Some choices can be made 
irrespective of the particular model: 
 
 
The partial width of a Higgs particle to a pair of gauge bosons, 
W^+ W^- or Z^0 Z^0, depends cubically on the 
Higgs mass. When selecting the Higgs according to a Breit-Wigner, 
so that the actual mass mHat does not agree with the 
nominal m_Higgs one, an ambiguity arises which of the 
two to use Sey95. The default is to use a linear 
dependence on mHat, i.e. a width proportional to 
m_Higgs^2 * mHat, while on gives a 
mHat^3 dependence. This does not affect the widths to 
fermions, which only depend linearly on mHat. 
This flag is used both for SM and BSM Higgs bosons. 
 
 
 
The partial width of a Higgs particle to a pair of gluons or photons, 
or a gamma Z^0 pair, proceeds in part through quark loops, 
mainly b and t. There is some ambiguity what kind 
of masses to use. Default is running MSbar ones, but alternatively 
fixed pole masses are allowed (as was standard in PYTHIA 6), which 
typically gives a noticeably higher cross section for these channels. 
(For a decay to a pair of fermions, such as top, the running mass is 
used for couplings and the fixed one for phase space.) 
 
 
 
The Breit-Wigner shape of a Higgs is nontrivial, owing to the rapid 
width variation with the mass of a Higgs. This implies that a Higgs 
of low nominal mass may still acquire a non-negligible high-end tail. 
The validity of the calculation may be questioned in these wings. 
With this option on, the Higgs:wingsFac value is used to 
cut away the wings. 
Warning: with this option on, the allowed mass range is 
shrunk, but never widened. This can lead to inconsistencies if a run 
consists of several subruns with different Higgs masses. The 
id:mMin and id:mMax values should therefore be 
reset (e.g. to the defaults 50. and 0.) when id:m0 is 
changed. 
 
 
 
With Higgs:clipWings on, all Higgs masses which deviate 
from the nominal one by more than Higgs:wingsFac 
times the nominal width are forbidden. This is achieved by setting 
the mMin and mMax values of the Higgs states 
at initialization. These changes never  allow a wider range than already 
set by the user, alternatively by the current default values, see 
warning above. 
 
 

     
One setting is specific to the Standard Model: 
 
 
The partial width of the SM Higgs particle are multiplied by the 
respective factors needed to bring the LO widths encoded in PYTHIA 
to the NLO ones recommended by the LHCXSWG. The multiplicative 
factors have been derived for a 125 GeV Higgs, but should apply for a 
reasonable mass range around that value. 
 


    Standard-Model Higgs, basic processes
     
 
This section provides the standard set of processes that can be 
run together to provide a reasonably complete overview of possible 
production channels for a single SM Higgs. 
The main parameter is the choice of Higgs mass, which can be set in the 
normal ParticleData database; thereafter the properties 
within the SM are essentially fixed. 
 
 
Common switch for the group of Higgs production within the Standard Model. 
 
 
 
Scattering f fbar → H^0, where f sums over available 
flavours except top. Related to the mass-dependent Higgs point coupling 
to fermions, so at hadron colliders the bottom contribution will 
dominate. 
Code 901. 
 
 
 
Scattering g g → H^0 via loop contributions primarily from 
top. 
Code 902. 
 
 
 
Scattering gamma gamma → H^0 via loop contributions primarily 
from top and W. 
Code 903. 
 
 
 
Scattering f fbar → H^0 Z^0 via s-channel Z^0 
exchange. 
Code 904. 
 
 
 
Scattering f fbar → H^0 W^+- via s-channel 
W^+- exchange. 
Code 905. 
 
 
 
Scattering f f' → H^0 f f' via Z^0 Z^0 fusion. 
Code 906. 
 
 
 
Scattering f_1 f_2 → H^0 f_3 f_4 via W^+ W^- fusion. 
Code 907. 
 
 
 
Scattering g g → H^0 t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 908. 
 
 
 
Scattering q qbar → H^0 t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 909. 
 
 

    Standard-Model Higgs, further processes
     
 
A number of further production processes has been implemented, that 
are specializations of some of the above ones to the high-pT 
region. The sets therefore could not be used simultaneously 
without unphysical double-counting, as further explained below. 
They are not switched on by the HiggsSM:all flag, but 
have to be switched on for each separate process after due consideration. 
 

     
The first three processes in this section are related to the Higgs 
point coupling to fermions, and so primarily are of interest for 
b quarks. It is here useful to begin by reminding that 
a process like b bbar → H^0 implies that a b/bbar 
is taken from each incoming hadron, leaving behind its respective 
antiparticle. The initial-state showers will then add one 
g → b bbar branching on either side, so that effectively 
the process becomes g g → H0 b bbar. This would be the 
same basic process as the g g → H^0 t tbar one used for top. 
The difference is that (a) no PDF's are defined for top and 
(b) the shower approach would not be good enough to provide sensible 
kinematics for the H^0 t tbar subsystem. By contrast, owing 
to the b being much lighter than the Higgs, multiple 
gluon emissions must be resummed for b, as is done by PDF's 
and showers, in order to obtain a sensible description of the total 
production rate,  when the b quarks predominantly are produced 
at small pT values. 
 
 
Scattering q g → H^0 q. This process gives first-order 
corrections to the f fbar → H^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → H^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → H^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 911. 
 
 
 
Scattering g g → H^0 b bbar. This process is yet one order 
higher of the b bbar → H^0 and b g → H^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 912. 
 
 
 
Scattering q qbar → H^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 913. 
 
 

     
The second set of processes are predominantly first-order corrections 
to the g g → H^0 process, again dominated by the top loop. 
We here only provide the kinematical expressions obtained in the 
limit that the top quark goes to infinity, but scaled to the 
finite-top-mass coupling in g g → H^0. (Complete loop 
expressions are available e.g. in PYTHIA 6.4 but are very lengthy.) 
This provides a reasonably accurate description for "intermediate" 
pT values, but fails when the pT scale approaches 
the top mass. 
  
 
Scattering g g → H^0 g via loop contributions primarily 
from top. 
Code 914. 
 
  
 
Scattering q g → H^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsSM:qg2Hq 
process above, with its direct fermion-to-Higgs coupling. 
Code 915. 
 
  
 
Scattering q qbar → H^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → H^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 916. 
 
 

    Beyond-the-Standard-Model Higgs, introduction
     
 
Further Higgs multiplets arise in a number of scenarios. We here 
concentrate on the MSSM scenario with two Higgs doublets, but with 
flexibility enough that also other two-Higgs-doublet scenarios could 
be represented by a suitable choice of parameters. Conventionally the 
Higgs states are labeled h^0, H^0, A^0 and H^+-. 
If the scalar and pseudocalar states mix the resulting states are 
labeled H_1^0, H_2^0, H_3^0. In process names and parameter 
explanations both notations will be used, but for settings labels 
we have adapted the shorthand hybrid notation H1 for 
h^0(H_1^0), H2 for H^0(H_2^0) and 
A3 for A^0(H_3^0). (Recall that the 
Settings database does not distinguish upper- and lowercase 
characters, so that the user has one thing less to worry about, but here 
it causes problems with h^0 vs. H^0.) We leave the issue 
of mass ordering between H^0 and A^0 open, and thereby 
also that of H_2^0 and H_3^0. 
 
 
Master switch to initialize and use the two-Higgs-doublet states. 
If off, only the above SM Higgs processes can be used, with couplings 
as predicted in the SM. If on, only the below BSM Higgs processes can 
be used, with couplings that can be set freely, also found further down 
on this page. 
 
 

    Beyond-the-Standard-Model Higgs, basic processes
     
 
This section provides the standard set of processes that can be 
run together to provide a reasonably complete overview of possible 
production channels for a single neutral Higgs state in a two-doublet 
scenarios such as MSSM. The list of processes for neutral states closely 
mimics the one found for the SM Higgs. Some of the processes 
vanish for a pure pseudoscalar A^0, but are kept for flexibility 
in cases of mixing with the scalar h^0 and H^0 states, 
or for use in the context of non-MSSM models. This should work well to 
represent e.g. that a small admixture of the "wrong" parity would allow 
a process such as q qbar → A^0 Z^0, which otherwise is 
forbidden. However, note that the loop integrals e.g. for 
g g → h^0/H^0/A^0 are hardcoded to be for scalars for the 
former two particles and for a pseudoscalar for the latter one, 
so absolute rates would not be correctly represented in the case of 
large scalar/pseudoscalar mixing. 
 
 
Common switch for the group of Higgs production beyond the Standard Model, 
as listed below. 
 
 

    1) h^0(H_1^0) processes
     
 
 
Common switch for the group of h^0(H_1^0) production processes. 
 
 
 
Scattering f fbar → h^0(H_1^0), where f sums over 
available flavours except top. 
Code 1001. 
 
 
 
Scattering g g → h^0(H_1^0) via loop contributions primarily 
from top. 
Code 1002. 
 
 
 
Scattering gamma gamma → h^0(H_1^0) via loop contributions 
primarily from top and W. 
Code 1003. 
 
 
 
Scattering f fbar → h^0(H_1^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1004. 
 
 
 
Scattering f fbar → h^0(H_1^0) W^+- via s-channel 
W^+- exchange. 
Code 1005. 
 
 
 
Scattering f f' → h^0(H_1^0) f f' via Z^0 Z^0 fusion. 
Code 1006. 
 
 
 
Scattering f_1 f_2 → h^0(H_1^0) f_3 f_4 via W^+ W^- 
fusion. 
Code 1007. 
 
 
 
Scattering g g → h^0(H_1^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1008. 
 
 
 
Scattering q qbar → h^0(H_1^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1009. 
 
 

    2) H^0(H_2^0) processes
     
 
 
Common switch for the group of H^0(H_2^0) production processes. 
 
 
 
Scattering f fbar → H^0(H_2^0), where f sums over 
available flavours except top. 
Code 1021. 
 
 
 
Scattering g g → H^0(H_2^0) via loop contributions primarily 
from top. 
Code 1022. 
 
 
 
Scattering gamma gamma → H^0(H_2^0) via loop contributions 
primarily from top and W. 
Code 1023. 
 
 
 
Scattering f fbar → H^0(H_2^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1024. 
 
 
 
Scattering f fbar → H^0(H_2^0) W^+- via s-channel 
W^+- exchange. 
Code 1025. 
 
 
 
Scattering f f' → H^0(H_2^0) f f' via Z^0 Z^0 fusion. 
Code 1026. 
 
 
 
Scattering f_1 f_2 → H^0(H_2^0) f_3 f_4 via W^+ W^- 
fusion. 
Code 1027. 
 
 
 
Scattering g g → H^0(H_2^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1028. 
 
 
 
Scattering q qbar → H^0(H_2^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1029. 
 

    3) A^0(H_3^0) processes
     
 
 
Common switch for the group of A^0(H_3^0) production processes. 
 
 
 
Scattering f fbar → A^0(H_3^0), where f sums over 
available flavours except top. 
Code 1041. 
 
 
 
Scattering g g → A^0(A_3^0) via loop contributions primarily 
from top. 
Code 1042. 
 
 
 
Scattering gamma gamma → A^0(A_3^0) via loop contributions 
primarily from top and W. 
Code 1043. 
 
 
 
Scattering f fbar → A^0(A_3^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1044. 
 
 
 
Scattering f fbar → A^0(A_3^0) W^+- via s-channel 
W^+- exchange. 
Code 1045. 
 
 
 
Scattering f f' → A^0(A_3^0) f f' via Z^0 Z^0 fusion. 
Code 1046. 
 
 
 
Scattering f_1 f_2 → A^0(A_3^0) f_3 f_4 via W^+ W^- 
fusion. Code 1047. 
 
 
 
Scattering g g → A^0(A_3^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1048. 
 
 
 
Scattering q qbar → A^0(A_3^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1049. 
 

    4) H+- processes
     
 
 
Common switch for the group of H^+- production processes. 
 
 
 
Scattering f fbar' → H^+-, where f, fbar' sums over 
available incoming flavours. Since couplings are assumed 
generation-diagonal, in practice this means c sbar → H^+ 
and s cbar → H^-. 
Code 1061. 
 
 
 
Scattering b g → H^+ tbar. At hadron colliders this is the 
dominant process for single-charged-Higgs production. 
Code 1062. 
 
 

    5) Higgs-pair processes
     
 
 
Common switch for the group of Higgs pair-production processes. 
 
 
 
Scattering f fbar → A^0(H_3) h^0(H_1). 
Code 1081. 
 
 
 
Scattering f fbar → A^0(H_3) H^0(H_2). 
Code 1082. 
 
 
 
Scattering f fbar → H^+- h^0(H_1). 
Code 1083. 
 
 
 
Scattering f fbar → H^+- H^0(H_2). 
Code 1084. 
 
 
 
Scattering f fbar → H+ H-. 
Code 1085. 
 
 

    Beyond-the-Standard-Model Higgs, further processes
     
 
This section mimics the above section on "Standard-Model Higgs, 
further processes", i.e. it contains higher-order corrections 
to the processes already listed. The two sets therefore could not 
be used simultaneously without unphysical double-counting. 
They are not controlled by any group flag, but have to be switched 
on for each separate process after due consideration. We refer to 
the standard-model description for a set of further comments on 
the processes. 
 

    1) h^0(H_1^0) processes
     
 
 
Scattering q g → h^0 q. This process gives first-order 
corrections to the f fbar → h^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → h^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → h^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1011. 
 
 
 
Scattering g g → h^0 b bbar. This process is yet one order 
higher of the b bbar → h^0 and b g → h^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1012. 
 
 
 
Scattering q qbar → h^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1013. 
 
  
 
Scattering g g → h^0 g via loop contributions primarily 
from top. 
Code 1014. 
 
  
 
Scattering q g → h^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1015. 
 
  
 
Scattering q qbar → h^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → h^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1016. 
 
 

    2) H^0(H_2^0) processes
     
 
 
Scattering q g → H^0 q. This process gives first-order 
corrections to the f fbar → H^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → H^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → H^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1031. 
 
 
 
Scattering g g → H^0 b bbar. This process is yet one order 
higher of the b bbar → H^0 and b g → H^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1032. 
 
 
 
Scattering q qbar → H^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1033. 
 
  
 
Scattering g g → H^0 g via loop contributions primarily 
from top. 
Code 1034. 
 
  
 
Scattering q g → H^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1035. 
 
  
 
Scattering q qbar → H^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → H^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1036. 
 
 

    3) A^0(H_3^0) processes
     
 
 
Scattering q g → A^0 q. This process gives first-order 
corrections to the f fbar → A^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → A^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → A^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1051. 
 
 
 
Scattering g g → A^0 b bbar. This process is yet one order 
higher of the b bbar → A^0 and b g → A^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1052. 
 
 
 
Scattering q qbar → A^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1053. 
 
  
 
Scattering g g → A^0 g via loop contributions primarily 
from top. 
Code 1054. 
 
  
 
Scattering q g → A^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1055. 
 
  
 
Scattering q qbar → A^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → A^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1056. 
 
 

    Parameters for Beyond-the-Standard-Model Higgs production and decay
     
 
This section offers a big flexibility to set couplings of the various 
Higgs states to fermions and gauge bosons, and also to each other. 
The intention is that, for scenarios like MSSM, you should use standard 
input from the SUSY Les Houches 
Accord, rather than having to set it all yourself. In other cases, 
however, the freedom is there for you to use. Kindly note that some 
of the internal calculations of partial widths from the parameters provided 
do not include mixing between the scalar and pseudoscalar states. 
 

     
Masses would be set in the ParticleData database, 
while couplings are set below. When possible, the couplings of the Higgs 
states are normalized to the corresponding coupling within the SM. 
When not, their values within the MSSM are indicated, from which 
it should be straightforward to understand what to use instead. 
The exception is some couplings that vanish also in the MSSM, where the 
normalization has been defined in close analogy with nonvanishing ones. 
Some parameter names are asymmetric but crossing can always be used, 
i.e. the coupling for A^0 → H^0 Z^0 obviously is also valid 
for H^0 → A^0 Z^0 and Z^0 → H^0 A^0. 
Note that couplings usually appear quadratically in matrix elements. 
 
 
The h^0(H_1^0) coupling to down-type quarks. 
 
 
 
The h^0(H_1^0) coupling to up-type quarks. 
 
 
 
The h^0(H_1^0) coupling to (charged) leptons. 
 
 
 
The h^0(H_1^0) coupling to Z^0. 
 
 
 
The h^0(H_1^0) coupling to W^+-. 
 
 
 
The h^0(H_1^0) coupling to H^+- (in loops). 
Is sin(beta - alpha) + cos(2 beta) sin(beta + alpha) / 
(2 cos^2theta_W) in the MSSM. 
 
 
 
The H^0(H_2^0) coupling to down-type quarks. 
 
 
 
The H^0(H_2^0) coupling to up-type quarks. 
 
 
 
The H^0(H_2^0) coupling to (charged) leptons. 
 
 
 
The H^0(H_2^0) coupling to Z^0. 
 
 
 
The H^0(H_2^0) coupling to W^+-. 
 
 
 
The H^0(H_2^0) coupling to H^+- (in loops). 
Is cos(beta - alpha) + cos(2 beta) cos(beta + alpha) / 
(2 cos^2theta_W) in the MSSM. 
 
 
 
The H^0(H_2^0) coupling to a h^0(H_1^0) pair. 
Is cos(2 alpha) cos(beta + alpha) - 2 sin(2 alpha) 
sin(beta + alpha) in the MSSM. 
 
 
 
The H^0(H_2^0) coupling to an A^0(H_3^0) pair. 
Is cos(2 beta) cos(beta + alpha) in the MSSM. 
 
 
 
The H^0(H_2^0) coupling to a h^0(H_1^0) Z^0 pair. 
Vanishes in the MSSM. 
 
 
 
The H^0(H_2^0) coupling to an A^0(H_3^0) h^0(H_1^0) pair. 
Vanishes in the MSSM. 
 
 
 
The H^0(H_2^0) coupling to a H^+- W-+ pair. 
Is sin(beta - alpha) in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to down-type quarks. 
 
 
 
The A^0(H_3^0) coupling to up-type quarks. 
 
 
 
The A^0(H_3^0) coupling to (charged) leptons. 
 
 
 
The A^0(H_3^0) coupling to a h^0(H_1^0) Z^0 pair. 
Is cos(beta - alpha) in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to a H^0(H_2^0) Z^0 pair. 
Is sin(beta - alpha) in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to Z^0. 
Vanishes in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to W^+-. 
Vanishes in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to a h^0(H_1^0) pair. 
Vanishes in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to H^+-. 
Vanishes in the MSSM. 
 
 
 
The A^0(H_3^0) coupling to a H^+- W-+ pair. 
Is 1 in the MSSM. 
 
 
 
The tan(beta) value, which leads to an enhancement of the 
H^+- coupling to down-type fermions and suppression to 
up-type ones. The same angle also appears in many other places, 
but this particular parameter is only used for the charged-Higgs case. 
 
 
 
The H^+- coupling to a h^0(H_1^0) W^+- pair. 
Is cos(beta - alpha) in the MSSM. 
 
 
 
The H^+- coupling to a H^0(H_2^0) W^+- pair. 
Is sin(beta - alpha) in the MSSM. 
 
 

     
Another set of parameters are not used in the production stage but 
exclusively for the description of angular distributions in decays. 
 
 
possibility to modify angular decay correlations in the decay of a 
h^0(H_1) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 
 
 
 
 
 
 
 
The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
 
 
 
possibility to modify angular decay correlations in the decay of a 
H^0(H_2) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 
 
 
 
 
 
 
 
The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
 
 
 
possibility to modify angular decay correlations in the decay of a 
A^0(H_3) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 
 
 
 
 
 
 
 
The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/ASecondHardProcess.xml0000444000175000017500000004660112357055014020030 0ustar  sunsun 
 

    A Second Hard Process
     
 
When you have selected a set of hard processes for hadron beams, the 
multiparton interactions 
framework can add further interactions to build up a realistic 
underlying event. These further interactions can come from a wide 
variety of processes, and will occasionally be quite hard. They 
do represent a realistic random mix, however, which means one cannot 
predetermine what will happen. Occasionally there may be cases 
where one wants to specify also the second hard interaction rather 
precisely. The options on this page allow you to do precisely that. 
 
 
Generate two hard scatterings in a collision between hadron beams. 
The hardest process can be any combination of internal processes, 
available in the normal process 
selection machinery, or external input. Here you must further 
specify which set of processes to allow for the second hard one, see 
the following. 
 
 

    Process Selection
     
 
In principle the whole process 
selection allowed for the first process could be repeated 
for the second one. However, this would probably be overkill. 
Therefore here a more limited set of prepackaged process collections 
are made available, that can then be further combined at will. 
Since the description is almost completely symmetric between the 
first and the second process, you always have the possibility 
to pick one of the two processes according to the complete list 
of possibilities. 
 

     
Here comes the list of allowed sets of processes, to combine at will: 
 
 
Standard QCD 2 → 2 processes involving gluons and 
d, u, s, c, b quarks. 
 
 
 
A prompt photon recoiling against a quark or gluon jet. 
 
 
Two prompt photons recoiling against each other. 
 
 
Production of charmonium via colour singlet and colour octet channels. 
 
 
Production of bottomonium via colour singlet and colour octet channels. 
 
 
Scattering q qbar → gamma^*/Z^0, with full interference 
between the gamma^* and Z^0. 
 
 
 
Scattering q qbar' → W^+-. 
 
 
 
Scattering q qbar → gamma^*/Z^0 g and 
q g → gamma^*/Z^0 q. 
 
 
 
Scattering q qbar' → W^+- g and 
q g → W^+- q'. 
 
 
 
Production of a top pair, either via QCD processes or via an 
intermediate gamma^*/Z^0 resonance. 
 
 
 
Production of a single top, either via a t- or 
an s-channel W^+- resonance. 
 
 

     
A further process collection comes with a warning flag: 
 
 
The q qbar → b bbar and g g → b bbar processes. 
These are already included in the TwoJets sample above, 
so it would be double-counting to include both, but we assume there 
may be cases where the b subsample will be of special interest. 
This subsample does not include flavour-excitation or gluon-splitting 
contributions to the b rate, however, so, depending 
on the topology if interest, it may or may not be a good approximation. 
 
 

    Cuts and scales
     
 
The second hard process obeys exactly the same selection rules for 
phase space cuts and 
couplings and scales 
as the first one does. Specifically, a pTmin cut for 
2 → 2 processes would apply to the first and the second hard 
process alike, and ballpark half of the time the second could be 
generated with a larger pT than the first. (Exact numbers 
depending on the relative shape of the two cross sections.) That is, 
first and second is only used as an administrative distinction between 
the two, not as a physics ordering one. 
 

     
Optionally it is possible to pick the mass and pT 
phase space cuts separately for 
the second hard interaction. The main application presumably would 
be to allow a second process that is softer than the first, but still 
hard. But one is also free to make the second process harder than the 
first, if desired. So long as the two pT (or mass) ranges 
overlap the ordering will not be the same in all events, however. 
 

    Cross-section calculation
     
 
As an introduction, a brief reminder of Poissonian statistics. 
Assume a stochastic process in time, for now not necessarily a 
high-energy physics one, where the probability for an event to occur 
at any given time is independent of what happens at other times. 
Then the probability for n events to occur in a finite 
time interval is 
 
P_n = <n>^n exp(-<n>) / n! 
 
where <n> is the average number of events. If this 
number is small we can approximate exp(-<n>) = 1 , 
so that P_1 = <n> and 
P_2 = <n>^2 / 2 = P_1^2 / 2. 
 

     
Now further assume that the events actually are of two different 
kinds a and b, occurring independently of each 
other, such that <n> = <n_a> + <n_b>. 
It then follows that the probability of having one event of type 
a (or b) and nothing else is 
P_1a = <n_a> (or P_1b = <n_b>). 
From 
 
P_2 = (<n_a> + <n_b>)^2 / 2 = (P_1a + P_1b)^2 / 2 = 
(P_1a^2 + 2 P_1a P_1b + P_1b^2) / 2 
 
it is easy to read off that the probability to have exactly two 
events of kind a and none of b is 
P_2aa = P_1a^2 / 2 whereas that of having one a 
and one b is P_2ab = P_1a P_1b. Note that the 
former, with two identical events, contains a factor 1/2 
while the latter, with two different ones, does not. If viewed 
in a time-ordered sense, the difference is that the latter can be 
obtained two ways, either first an a and then a b 
or else first a b and then an a. 
 

     
To translate this language into cross-sections for high-energy 
events, we assume that interactions can occur at different pT 
values independently of each other inside inelastic nondiffractive 
(sometimes equated with "minbias") events. Then the above probabilities 
translate into 
P_n = sigma_n / sigma_ND where sigma_ND is the 
total nondiffractive cross section. Again we want to assume that 
exp(-<n>) is close to unity, i.e. that the total 
hard cross section above pTmin is much smaller than 
sigma_ND. The hard cross section is dominated by QCD 
jet production, and a reasonable precaution is to require a 
pTmin of at least 20 GeV at LHC energies. 
(For 2 → 1 processes such as 
q qbar → gamma^*/Z^0 (→ f fbar) one can instead make a 
similar cut on mass.) Then the generic equation 
P_2 = P_1^2 / 2 translates into 
sigma_2/sigma_ND = (sigma_1 / sigma_ND)^2 / 2 or 
sigma_2 = sigma_1^2 / (2 sigma_ND). 
 

     
Again different processes a, b, c, ... contribute, 
and by the same reasoning we obtain 
sigma_2aa = sigma_1a^2 / (2 sigma_ND), 
sigma_2ab = sigma_1a sigma_1b / sigma_ND, 
and so on. 
 

     
There is one important correction to this picture: all collisions 
do no occur under equal conditions. Some are more central in impact 
parameter, others more peripheral. This leads to a further element of 
variability: central collisions are likely to have more activity 
than the average, peripheral less. Integrated over impact 
parameter standard cross sections are recovered, but correlations 
are affected by a "trigger bias" effect: if you select for events 
with a hard process you favour events at small impact parameter 
which have above-average activity, and therefore also increased 
chance for further interactions. (In PYTHIA this is the origin 
of the "pedestal effect", i.e. that events with a hard interaction 
have more underlying activity than the level found in minimum-bias 
events.) 
 

     
When you specify a matter overlap profile in the multiparton-interactions 
scenario, such an enhancement/depletion factor f_impact is 
chosen event-by-event and can be averaged during the course of the run. 
As an example, the double Gaussian form used in Tune A gives 
approximately <f_impact> = 2.5. In general, the more 
uneven the distribution the higher the <f_impact>. 
Also the pT0 parameter value has an impact, even if it is 
less important over a realistic range of values, although it implies 
that <f_impact> is energy-dependent. The origin of this 
effect is as follows. A lower pT0 implies more MPI activity 
at all impact parameters, so that the nondiffractive cross section 
sigma_ND increases, or equivalently the proton size. But if 
sigma_ND is fixed by data then the input radius of the matter 
overlap profile (not explicitly specified but implicitly adjusted at 
initialization) has to be shrunk  so that the output value can stay 
constant. This means that the proton matter is more closely packed and 
therefore <f_impact> goes up. 
 
 

     
The above equations therefore have to be modified to 
sigma_2aa = <f_impact> sigma_1a^2 / (2 sigma_ND), 
sigma_2ab = <f_impact> sigma_1a sigma_1b / sigma_ND. 
Experimentalists often instead use the notation 
sigma_2ab = sigma_1a sigma_1b / sigma_eff, 
from which we see that PYTHIA "predicts" 
sigma_eff = sigma_ND / <f_impact>. 
When the generation of multiparton interactions is switched off it is 
not possible to calculate <f_impact> and therefore 
it is set to unity. 
 

     
When this recipe is to be applied to calculate 
actual cross sections, it is useful to distinguish three cases, 
depending on which set of processes are selected to study for 
the first and second interaction. 
 

     
(1) The processes a for the first interaction and 
b for the second one have no overlap at all. 
For instance, the first could be TwoJets and the 
second TwoPhotons. In that case, the two interactions 
can be selected independently, and cross sections tabulated 
for each separate subprocess in the two above classes. At the 
end of the run, the cross sections in a should be multiplied 
by <f_impact> sigma_1b / sigma_ND to bring them to 
the correct overall level, and those in b by 
<f_impact> sigma_1a / sigma_ND. 
  

     
(2) Exactly the same processes a are selected for the 
first and second interaction. In that case it works as above, 
with a = b, and it is only necessary to multiply by an 
additional factor 1/2. A compensating factor of 2 
is automatically obtained for picking two different subprocesses, 
e.g. if TwoJets is selected for both interactions, 
then the combination of the two subprocesses q qbar → g g 
and g g → g g can trivially be obtained two ways. 
  

     
(3) The list of subprocesses partly but not completely overlap. 
For instance, the first process is allowed to contain a 
or c and the second b or c, where 
there is no overlap between a and b. Then, 
when an independent selection for the first and second interaction 
both pick one of the subprocesses in c, half of those 
events have to be thrown, and the stored cross section reduced 
accordingly. Considering the four possible combinations of first 
and second process, this gives a 
 
sigma'_1 = sigma_1a + sigma_1c * (sigma_2b + sigma_2c/2) / 
(sigma_2b + sigma_2c) 
 
with the factor 1/2 for the sigma_1c sigma_2c term. 
At the end of the day, this sigma'_1 should be multiplied 
by the normalization factor 
 
f_1norm = <f_impact> (sigma_2b + sigma_2c) / sigma_ND 
 
here without a factor 1/2 (or else it would have been 
double-counted). This gives the correct 
 
(sigma_2b + sigma_2c) * sigma'_1 = sigma_1a * sigma_2b 
+ sigma_1a * sigma_2c + sigma_1c * sigma_2b + sigma_1c * sigma_2c/2 
 
The second interaction can be handled in exact analogy. 
 

     
For the considerations above it is assumed that the phase space cuts 
are the same for the two processes. It is possible to set the mass and 
transverse momentum cuts differently, however. This changes nothing 
for processes that already are different. For two collisions of the 
same type it is partly a matter of interpretation what is intended. 
If we consider the case of the same process in two non-overlapping 
phase space regions, most likely we want to consider them as 
separate processes, in the sense that we expect a factor 2 relative 
to Poissonian statistics from either of the two hardest processes 
populating either of the two phase space regions. In total we are 
therefore lead to adopt the same strategy as in case (3) above: 
only in the overlapping part of the two allowed phase space regions 
could two processes be identical and thus appear with a 1/2 factor, 
elsewhere the two processes are never identical and do not 
include the 1/2 factor. We reiterate, however, that the case of 
partly but not completely overlapping phase space regions for one and 
the same process is tricky, and not to be used without prior 
deliberation. 
 

     
The listing obtained with the pythia.statistics() 
already contain these corrections factors, i.e. cross sections 
are for the occurrence of two interactions of the specified kinds. 
There is not a full tabulation of the matrix of all the possible 
combinations of a specific first process together with a specific 
second one (but the information is there for the user to do that, 
if desired). Instead pythia.statistics() shows this 
matrix projected onto the set of processes and associated cross 
sections for the first and the second interaction, respectively. 
Up to statistical fluctuations, these two sections of the 
pythia.statistics() listing both add up to the same 
total cross section for the event sample. 
 

     
There is a further special feature to be noted for this listing, 
and that is the difference between the number of "selected" events 
and the number of "accepted" ones. Here is how that comes about. 
Originally the first and second process are selected completely 
independently. The generation (in)efficiency is reflected in the 
different number of initially tried events for the first and second 
process, leading to the same number of selected events. While 
acceptable on their own, the combination of the two processes may 
be unacceptable, however. It may be that the two processes added 
together use more energy-momentum than kinematically allowed, or, 
even if not, are disfavoured when the PYTHIA approach to provide 
correlated parton densities is applied. Alternatively, referring 
to case (3) above, it may be because half of the events should 
be thrown for identical processes. Taken together, it is these 
effects that reduced the event number from "selected" to "accepted". 
(A further reduction may occur if a 
user hook rejects some events.) 
 

     
It is allowed to use external Les Houches Accord input for the 
hardest process, and then pick an internal one for the second hardest. 
In this case PYTHIA does not have access to your thinking concerning 
the external process, and cannot know whether it overlaps with the 
internal or not. (External events q qbar' → e+ nu_e could 
agree with the internal W ones, or be a W' resonance 
in a BSM scenario, to give one example.) Therefore the combined cross 
section is always based on the scenario (1) above. Corrections for 
correlated parton densities are included also in this case, however. 
That is, an external event that takes a large fraction of the incoming 
beam momenta stands a fair chance of being rejected when it has to be 
combined with another hard process. For this reason the "selected" and 
"accepted" event numbers are likely to disagree. 
 

     
In the cross section calculation above, the sigma'_1 
cross sections are based on the number of accepted events, while 
the f_1norm factor is evaluated based on the cross sections 
for selected events. That way the suppression by correlations 
between the two processes does not get to be double-counted. 
 

     
The pythia.statistics() listing contains two final 
lines, indicating the summed cross sections sigma_1sum and 
sigma_2sum for the first and second set of processes, at 
the "selected" stage above, plus information on the sigma_ND 
and <f_impact> used. The total cross section 
generated is related to this by 
 
<f_impact> * (sigma_1sum * sigma_2sum / sigma_ND) * 
(n_accepted / n_selected) 
 
 with an additional factor of 1/2 for case 2 above. 
 

     
The error quoted for the cross section of a process is a combination 
in quadrature of the error on this process alone with the error on 
the normalization factor, including the error on 
<f_impact>. As always it is a purely statistical one 
and of course hides considerably bigger systematic uncertainties. 
 

    Event information
     
 
Normally the process event record only contains the 
hardest interaction, but in this case also the second hardest 
is stored there. If both of them are 2 → 2 ones, the 
first would be stored in lines 3 - 6 and the second in 7 - 10. 
For both, status codes 21 - 29 would be used, as for a hardest 
process. Any resonance decay chains would occur after the two 
main processes, to allow normal parsing. The beams in 1 and 2 
only appear in one copy. This structure is echoed in the 
full event event record. 
 

     
Most of the properties accessible by the 
pythia.info 
methods refer to the first process, whether that happens to be the 
hardest or not. The code and pT scale of the second process 
are accessible by the info.codeMPI(1) and 
info.pTMPI(1), however. 
 

     
The sigmaGen() and sigmaErr() methods provide 
the cross section and its error for the event sample as a whole, 
combining the information from the two hard processes as described 
above. In particular, the former should be used to give the 
weight of the generated event sample. The statistical error estimate 
is somewhat cruder and gives a larger value than the 
subprocess-by-subprocess one  employed in 
pythia.statistics(), but this number is 
anyway less relevant, since systematical errors are likely to dominate. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/JetFinders.xml0000444000175000017500000000463412357055021016411 0ustar  sunsun 
 

    Jet Finders
     
 
Pythia comes with three built-in 
jet finders, ClusterJet for e^+e^- events 
and SlowJet and CellJetfor hadron collider ones. 
Especially the latter is not so well matched to the standards of its field, 
however. (But it is closely related to the anti-kT algorithm, 
so is also not completely disconnected Cac08.) 
 

     
SlowJet can do jet finding according to the current-day 
kT, Cambridge/Aachen and anti-kT algorithms. 
It can be run in two modes. The original one is a native implementation 
which, as the name indicates, is rather slow. However, with the release 
of the fjcore code from FastJet 
Cac06, Cac12, the default mode has become to use the 
fjcore methods. This is transparent to the user. 
 

    FastJet
     
 
SlowJet does not exhaust all the posssibilities of the 
fjcore code, so users are welcome to extend on the existing 
functionality by a direct usage of the fjcore methods. 
 

     
Missing from fjcore is a number of aspects, such as 
jet areas functionality, background estimation, access to other algorithms 
via plugins, interface to CGAL and tools such as filters and taggers. 
Therefore, for more sophisticated jet studies the complete 
FastJet package needs to be linked. This is foreseen in the 
configure file in the examples subdirectory, and the 
main71.cc and main72.cc programs contain 
examples how it can be used with Pythia events. (Even if 
these examples do not go beyond the functionality that 
SlowJet can offer.) 
 

     
The latter program makes use of the include/Pythia8/FastJet3.h 
header file, contributed by Gavin Salam. This allows simple input 
of a Pythia particle into a FastJet one, 
either retaining only the four-momentum or the full particle information. 
Thereby more sophisticated selectors become possible at the 
FastJet level. This code could be duplicated, with trivial 
modifications, to augment the fjcore package functionality 
in an identical manner, should the need arise. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/AlpgenEventInterface.xml0000444000175000017500000002770212357055014020410 0ustar  sunsun 
 
 

    ALPGEN Event Interface
     
 
This manual page describes the ALPGEN Man03 event interface 
for PYTHIA8.   While future versions of 
ALPGEN will be able to write out events in LHEF format, previous 
versions always output events in an ALPGEN native format (a combination 
of a ".unw" and a "_unw.par" file). The ALPGEN component of this code 
contains a reader for this native format (for unweighted events), as 
well as parameter reading for both ALPGEN native and LHE file formats. 
The reader was designed to work together with an implementation of 
the ALPGEN-style parton-jet matching JetMatchingAlpgen 
described on the Jet Matching 
page. However, it will also work with a implementation of the 
Madgraph-style Alw11 parton-jet matching 
JetMatchingMadgraph also described on the 
Jet Matching page. 
A sensible choice of JetMatching parameters is needed 
when using ALPGEN files with Madgraph-style matching and vice versa. 
 

     
It should be noted that all the functionality described here is provided 
through external routines, and therefore the presence of these features is 
dependent on the main program being used. This structure allows for the 
easy extensibility of the merging scheme. The files of interest are located 
in the examples/ subdirectory: 

       

    •  
GeneratorInput.h : provides three classes for the reading of 
ALPGEN event and parameter files. LHAupAlpgen is an 
LHAup derived 
class for reading in ALPGEN native format event files. 
AlpgenPar is a class for the parsing of ALPGEN parameter 
files, making the information available through a simple interface. 
AlpgenHooks is a 
UserHooks derived class that 
provides the Alpgen:* options, described below. Further 
technical details of these classes are given at the end of this manual 
page. 

      •  

    •  
main32.cc, main32.cmnd : a sample main program and card 
file showing the usage of previous file and an MLM UserHooks 
class. In combination, it reads in a sample ALPGEN (or Madgraph) event file 
while performing the MLM merging procedure as implemented in ALPGEN 
(or as in Madgraph). Some commented-out sets of options are provided 
in the card file, which can be activated to try different merging setups. 

      •  

    •  
main32.unw, main32_unw.par : an ALPGEN format event and 
parameter file containing 100 W + 3 jet events. It is not feasible 
to package large event files with the PYTHIA distribution, but this 
sample is enough to show the different components in action. 

      •  

     
 

    ALPGEN main options
     
 
These following options are provided by the AlpgenHooks class, 
which must be loaded for this functionality to be present 
 

     
ALPGEN event files that have been written out in LHEF format should be 
read in through the normal LHEF machinery 
(see Beam Parameters). Files in 
ALPGEN's native format, instead, may be processed using the 
Alpgen:file option below. When using this option, the 
ALPGEN parameter file is stored in the PYTHIA Info object under the key 
AlpgenPar, see the "Header information" section of the 
Event Information manual page for 
more details. Processes not implemented by the PYTHIA 6 interface 
supplied with ALPGEN are also not implemented here. 
 

     
When reading in ALPGEN native event files, some momenta are shifted by 
the file reader to ensure energy-momentum conservation. The magnitude of 
these shifts should be small (around the MeV level in the worst case) 
and warnings will be produced if they are above a set threshold. A large 
number of warnings may signify unexpected behaviour and should 
potentially be investigated. It is also known that certain event 
classes, for example an event with both light and heavy b 
quarks may give rise to these warnings. 
 

     
The ALPGEN file reader supports the reading of the event and parameter 
files in gzip format with file extensions ".unw.gz" and "_unw.par.gz" 
respectively. This requires the use of external libraries, however, and 
the README file in the main directory contains instructions 
on how to enable this. 
 

     
All other Alpgen:* options apply to both LHE and native 
file formats, and include options to guide the MLM merging procedure 
based on the parameters that are read in with the events file. 
 
 
This option is used to read in ALPGEN format event files. Using this option 
overrides any previously set beam options inside PYTHIA. The path to the 
files, not including any file extension, should be provided e.g. for input 
files input_unw.par and input.unw, the value 
input should be used. 
 
 
 
When switched on, c and b quark masses provided 
by ALPGEN are set in the PYTHIA 
particle database. 
Since ALPGEN may set these two masses to vanish, the parton shower
programs have been provided with some protection, but other parts of
the code may not be as fortunate. You should therefore only switch on 
this option if you know what you are doing.
 
 
 
When switched on, t, Z, W and H 
masses provided by ALPGEN are set in the PYTHIA 
particle database. 
 
 
 
When switched on, the merging parameters (see below) are set according to 
the ALPGEN hard process cuts: 

       

    •  JetMatching:eTjetMin = min(ptjmin + 5., 1.2 * ptjmin), 
      •  

    •  JetMatching:coneRadius = drjmin, 

    •  JetMatching:etaJetMax = etajmax. 

     
where the ptjmin, drjmin and 
etajmax are the incoming ALPGEN parameters. Note that any 
existing values of these parameters are overwritten. 
     
 
 
When switched on, the JetMatching:nJet parameter (see below) 
is set to the incoming njet ALPGEN parameter. Note that any 
existing value of this parameter is overwritten. 
 
 

    Class information
     
 
Some more technical information about the different classes is given 
below. For clarity, some limited information on certain private methods 
is provided. 
 

    LHAupAlpgen
     
 
This class is derived from the 
LHAup base class, and 
uses the standard machinery to pass initialisation and event data to 
PYTHIA. These standard functions are not documented here. The complete 
parameter file is stored in the PYTHIA Info object, if given, under the 
key AlpgenPar. 
 
 
The constructor for the class takes the base filename for the ALPGEN 
format files (without file extensions) and optionally a pointer to a 
PYTHIA Info class, used for warning/error message printing and for 
storing the ALPGEN parameter file. The event and 
parameter files are opened immediately, with the AlpgenPar 
class, described below, used to parse the parameter file. 
 
 
 
This is a private method used when an event is read in. The information 
read from the event file does not always contain a complete listing of 
all particles and four-momenta, and so various details must be 
reconstructed. Exactly which details are filled in can vary based on the 
ALPGEN process in question. 
 
 
 
This is another private method used when an event is read in. 
It shuffles and rescales momenta in an event to ensure energy-momentum 
conservation.  First, pT is made to balance by splitting any 
imbalance between all outgoing particles with their energies also 
scaled. Second, the e/pZ of the two incoming particles are 
scaled to balance the outgoing particles. Finally, any intermediate 
resonances are recalculated from their decay products. 
 
 

    AlpgenPar
     
 
This class parses an ALPGEN parameter file and makes the information 
available through a simple interface. The information is stored 
internally in key/value (string/double) format. All lines prior to: 

      ************** run parameters 
     
are ignored, and in the general case, a line e.g. 

      10   3.00000000000000        ! njets
     
would be stored with key "njets" and value "3.0". The following lines 
are special cases where the line may be split or the key translated: 

     
  3 ! hard process code 
  0.000   4.700 174.300  80.419  91.188 120.000 ! mc,mb,mt,mw,mz,mh 
  912.905 0.0914176   ! Crosssection +- error (pb) 
  100 29787.4  ! unwtd events, lum (pb-1) Njob= 2 

     
In the first line, the key "hard process code" is translated to 
"hpc". In the second, the mass values are split and each given an entry 
in the internal store. In the third, the cross section and cross section 
error are stored under the keys "xsecup" and "xerrup" respectively. 
Finally, the number of events and luminosity are stored under the keys 
"nevent" and "lum" respectively. In the event that a duplicate key is 
present, with differing values, the stored value is overwritten and a 
warning given. 
 
 
The constructor does nothing except for store the PYTHIA Info 
pointer, if given. This is used for warning/error message printing. 
 
 
 
This method parses an ALPGEN parameter file. The parameter file is 
passed as a single string, mainly intended to be read out from the 
PYTHIA Info object using the header information methods. 
 
 
 
Method to check if a parameter with key paramIn is present. 
Returns true if present, else false. 
 
 
 
 
 
Return the parameter with key paramIn as a double or 
integer. The presence of a parameter should have already been checked 
using the haveParam() function above. If the parameter is 
not present, 0 is returned. 
 
 
 
Method to print a list of stored parameters. 
 
 

    AlpgenHooks
     
 
This UserHooks derived class 
provides all the Alpgen:* options. It is provided as a 
UserHooks class such that the code works regardless of whether ALPGEN 
native or LHE file formats are used. It is declared with virtual 
inheritance so that it may be combine with other UserHooks classes, see 
the "Combining UserHooks" section below. 
 
 
The constructor takes a PYTHIA object as input, so that the beam 
parameter settings can be overridden if the Alpgen:file 
option is given. If this is the case, an LHAupAlpgen 
instance is automatically created and passed to PYTHIA. 
 
 
 
This is the only UserHooks method that is overridden. It is called 
directly after PYTHIA has initialised the beams, and therefore the 
header information should be present in the PYTHIA Info object. The 
AlpgenPar class is used to parse ALPGEN parameters, if 
present, which are then used to set further PYTHIA settings. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/ElectroweakProcesses.xml0000444000175000017500000002513412357055016020512 0ustar  sunsun 
 

    Electroweak Processes
     
 
This page contains processes involving Prompt-photon, gamma^*/Z^0 
and W^+- production, plus a few with t-channel boson 
exchange. 
 

    Prompt photon processes
     
 
This group collects the processes where one or two photons are 
produced by the hard process. Additional sources of photons 
include parton showers and hadron decays. A pT cut 
is required to stay away from the unphysical low-pT region. 
An eikonalized description, intended to be valid at all pT, 
is included as part of the multiparton-interactions framework. 
 
 
Common switch for the group of all prompt photon processes, 
as listed separately in the following. 
 
 
 
Scattering q g → q gamma. 
Code 201. 
 
 
 
Scattering q qbar → g gamma. 
Code 202. 
 
 
 
Scattering g g → g gamma. 
Note: This is a box graph. The full quark-mass dependence 
in the loop leads to very complicated expressions. The current 
implementation is based on assuming five massless quarks (see below), 
and thus is questionable at small (pT < m_b) or large 
(pT > m_t) transverse momenta. 
Code 203. 
 
 
 
Scattering q qbar → gamma gamma. 
Code 204. 
 
 
 
Scattering g g → gamma gamma. 
Note: This is a box graph. The full quark-mass dependence 
in the loop leads to very complicated expressions. The current 
implementation is based on assuming five massless quarks (see below), 
and thus is questionable at small (pT < m_b) or large 
(pT > m_t) transverse momenta. 
Code 205. 
 
 
 
Number of quark flavours included in the box graphs responsible for 
g g → g gamma and g g→ gamma gamma processes. 
Owing to the complexity if the massive expressions, quarks are treated 
as massless. The default value should be applicable in the range of 
transverse momenta above the b mass but below the t one. 
 
 

    Weak boson processes
     
 
Under this heading we group processes involving the production 
of a single electroweak gauge boson, i.e. a gamma^*/Z^0 
or a W^+-, or a pair of them, or one of them in 
combination with a parton. Since the three sets are partly 
conflicting, each is associated with its own group flag. 
In addition, t-channel exchange of such a boson 
between two fermions form a separate group. 
 

     
There is one flag that can be used to influence the gamma^*/Z^0 
structure in all the processes below where it is produced, unless 
otherwise stated. 
 
Choice of full gamma^*/Z^0 structure or not in relevant 
processes. 
 
 
 
Note: irrespective of the option used, the particle produced 
will always be assigned code 23 for Z^0, and open decay channels 
is purely dictated by what is set for the Z^0. 
 
 

    Boson exchange
     
 
The two processes in this subgroup is included as part of the 
multiparton-interactions framework. 
 
 
Common switch for the group of gamma^*/Z^0 
or W^+- exchange between two fermions. 
 
 
 
Scattering f f' → f f' via gamma^*/Z^0 
t-channel exchange, with full interference 
between the gamma^* and Z^0. 
Code 211. 
 
 
 
Scattering f_1 f_2 → f_3 f_4 via W^+- 
t-channel exchange. 
Code 212. 
 
 

    Single boson
     
 
 
Common switch for the group of a single gamma^*/Z^0 
or W^+- production. 
 
 
 
Scattering f fbar → gamma^*/Z^0, with full interference 
between the gamma^* and Z^0. 
Code 221. 
 
 
 
Scattering f fbar' → W^+-. 
Code 222. 
 
 
 
Scattering f fbar → gamma^* → f' fbar'. Subset of 
process 221, but written as a 2 → 2 process, so that 
pT can be used as ordering variable, e.g. in multiparton 
interactions. Hardcoded for the final state being either of the 
five quark flavours or three lepton ones. Not included in the 
WeakSingleBoson:all set, but included in the 
multiparton-interactions framework. 
Code 223. 
 
 
 
Scattering f fbar → gamma^*/Z^0 → f' fbar'. Equivalent 
to process 221, but written as a 2 → 2 process, so that 
pT could be used as cut or ordering variable. Final-state 
flavour selection is based on the Z^0 allowed decay modes, 
and the WeakZ0:gmZmode options are implemented. 
Not included in the WeakSingleBoson:all set. 
Code 224. 
 
 
 
Scattering f_1 fbar_2 → W+- → f_3 f_4. Almost equivalent 
to process 222, but written as a 2 → 2 process, so that 
pT could be used as cut or ordering variable. Final-state 
flavour selection is based on the W allowed decay modes. 
There are two simplifications relative to the implementation in 
process 222. Firstly, it is not possible to set different decay modes 
for the W^+ and the W^-; instead the allowed 
W^+ ones will be used throughout, with charge conjugation 
for the W^-. Secondly, quark mass corrections are neglected 
in the decay angular distribution. 
Not included in the WeakSingleBoson:all set. 
Code 225. 
 
 

    Boson pair
     
 
Note that, in the decay of the two vector bosons produced by an 
f fbar → V V process, the full four-fermion correlations 
from the leading-order f fbar → V V → 4f matrix elements 
are included Gun86 (with some extensions by the authors). 
The matrix elements are provided in the double-resonant approach, i.e. 
excludes graph like 
f fbar → V → f fbar → f fbar V → 4f. 
 
 
Common switch for the group of pair production of gamma^*/Z^0 
and W^+-. 
 
  
 
Scattering f fbar' → gamma^*/Z^0 gamma^*/Z^0. 
Code 231. 
 
 
 
Scattering f fbar' → Z^0 W^+-. Note that here the 
gamma^* contribution is not (currently) included. 
Code 232. 
 
  
 
Scattering f fbar → W^+ W^-. 
Code 233. 
 
 

    Boson and parton
     
 
 
Common switch for the group of production of a single electroweak 
gauge boson, i.e. a gamma^*/Z^0 or a W^+-, in 
association with a parton, i.e. a quark, gluon, photon or lepton. 
These processes give first-order corrections to the ones in the 
WeakSingleBoson class, and both sets cannot be used 
simultaneously without unphysical double-counting. The current class 
should only be used to study the high-pT tail of the 
gauge-boson production processes (for LHC applications at least 
pT > 20 GeV), while the ones in WeakSingleBoson 
should be used for inclusive production. 
 
  
 
Scattering q qbar → gamma^*/Z^0 g. 
Code 241. 
 
  
 
Scattering q g → gamma^*/Z^0 q . 
Code 242. 
 
  
 
Scattering f fbar → gamma^*/Z^0 gamma. 
Code 243. 
 
  
 
Scattering f gamma →  gamma^*/Z^0 f. 
Code 244. 
 
  
 
Scattering q qbar → W^+- g. 
Code 251. 
 
  
 
Scattering q g → W^+- q. 
Code 252. 
 
  
 
Scattering f fbar → W^+- gamma. 
Code 253. 
 
  
 
Scattering f gamma → W^+- f. 
Code 254. 
 
 

     Photon Collision Processes
     
 
A few electroweak two-photon production processes are available. 
To use them, photon PDFs have to be defined for the incoming 
beam particles. For proton beams an appropriate set would be 
MRST QED 2004 Mar05, available in the LHAPDF library. 
 
 
Common switch for the group of six processes presented below. 
 
 
 
Scatterings gamma gamma → q qbar, where q 
is a light quark (u, d, s) . 
Code 261. 
 
 
 
Scattering gamma gamma → c cbar. 
Code 262. 
 
 
 
Scattering gamma gamma → b bbar. 
Code 263. 
 
 
 
Scattering gamma gamma → e+ e-. 
Code 264. 
 
 
 
Scattering gamma gamma → mu+ mu-. 
Code 265. 
 
 
 
Scattering gamma gamma → tau+ tau-. 
Code 266. 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/SpacelikeShowers.xml0000444000175000017500000004727712357055030017641 0ustar  sunsun 
 

    Spacelike Showers
     
 
The PYTHIA algorithm for spacelike initial-state showers is 
based on the article Sjo05, where a 
transverse-momentum-ordered backwards evolution scheme is introduced, 
with the extension to fully interleaved evolution covered in 
Cor10a. 
This algorithm is a further development of the virtuality-ordered one 
presented in Sj085, with matching to first-order matrix 
element for Z^0, W^+- and Higgs (in the 
m_t → infinity limit) production as introduced in 
Miu99. 
 

     
The normal user is not expected to call SpaceShower 
directly, but only have it called from Pythia, 
via PartonLevel. Some of the parameters below, 
in particular SpaceShower:alphaSvalue, 
would be of interest for a tuning exercise, however. 
 

    Main variables
     
 
The maximum pT to be allowed in the shower evolution is 
related to the nature of the hard process itself. It involves a 
delicate balance between not double-counting and not leaving any 
gaps in the coverage. The best procedure may depend on information 
only the user has: how the events were generated and mixed (e.g. with 
Les Houches Accord external input), and how they are intended to be 
used. Therefore a few options are available, with a sensible default 
behaviour. 
 
 
Way in which the maximum shower evolution scale is set to match the 
scale of the hard process itself. 
 
 
 
Note 1: Some processes contain matrix-element matching 
to the first emission; this is the case notably for single 
gamma^*/Z^0, W^+- and H^0 production. Then default 
and option 2 give the correct result, while option 1 should never 
be used. 
Note 2: as enumerated in the text, these options take effect 
both for internal and external processes. Whether a particular option 
makes sense depends on the context. For instance, if events for the same 
basic process to different orders are to be matched, then option 1 would 
be a reasonable first guess. Note, however, that a program like the 
POWHEG BOX uses a pT definition for ISR and FSR that does not 
quite agree with the PYTHIA evolution scale, and thus there will be some 
amount of mismatch. In more sophisticated descriptions, therefore, 
option 2 could be combined with UserHooks vetoes on emissions 
that would lead to double-counting, using more flexible phase space 
boundaries. Further details are found in the 
Matching and Merging description, 
with an example in examples/main31. 
Option 0, finally, may be most realistic when only Born-level 
processes are involved, possibly in combination with a nonzero 
SpaceShower:pTdampMatch. The rules used for avoiding 
double-counting are not foolproof, however. As an example, for the 
t-channel process gamma gamma → e^+ e^- its pT 
scale is the plausible upper shower limit, with only dampened emissions 
above it. But the initial state is not checked and, had only incoming 
quarks and gluons been taken into account, only the s-channel 
process q qbar → gamma^*/Z^0 → e^+ e^- would have 
been possible, where indeed the whole phase space should be populated. 
So this is erroneously used, giving too much emissions. 
Note 3: These options only apply to the hard interaction. 
If a "second hard" process is present, the two are analyzed and 
set separately for the default 0 option, while both are affected 
the same way for non-default options 1 and 2. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of each process itself. 
 
 
 
In cases where the above pTmaxMatch rules would imply 
that pT_max = pT_factorization, pTmaxFudge 
introduces a multiplicative factor f such that instead 
pT_max = f * pT_factorization. Only applies to the hardest 
interaction in an event, and a "second hard" if there is such a one, 
cf. below. It is strongly suggested that f = 1, but variations 
around this default can be useful to test this assumption. 
 
 
 
A multiplicative factor f such that 
pT_max = f * pT_factorization, as above, but here for the 
non-hardest interactions (when multiparton interactions are allowed). 
 
 
 
These options only take effect when a process is allowed to radiate up 
to the kinematical limit by the above pTmaxMatch choice, 
and no matrix-element corrections are available. Then, in many processes, 
the fall-off in pT will be too slow by one factor of pT^2. 
That is, while showers have an approximate dpT^2/pT^2 shape, often 
it should become more like dpT^2/pT^4 at pT values above 
the scale of the hard process. Whether this actually is the case 
depends on the particular process studied, e.g. if t-channel 
gluon exchange is likely to dominate. If so, the options below could 
provide a reasonable high-pT behaviour without requiring 
higher-order calculations. 
 
 
 
Note: These options only apply to the hard interaction. 
Specifically, a "second hard" interaction would not be affected. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of the process itself. 
 
 
 
In cases 1 and 2 above, where a dampening is imposed at around the 
factorization or renormalization scale, respectively, this allows the 
pT scale of dampening of radiation by a half to be shifted 
by this factor relative to the default Q_fac or Q_ren. 
This number ought to be in the neighbourhood of unity, but variations 
away from this value could do better in some processes. 
 
 

     
The amount of QCD radiation in the shower is determined by 
 
The alpha_strong value at scale M_Z^2. 
Default value is picked equal to the one used in CTEQ 5L. 
 
 

     
The actual value is then regulated by the running to the scale 
pT^2, at which it is evaluated 
 
Order at which alpha_strong runs, 
 
 
 
 
 

     
The CMW rescaling of Lambda_QCD (see the section on 
StandardModelParameters) 
can be applied to the alpha_strong values used for spacelike showers. 
Note that tunes using this option need lower values of 
alpha_strong(m_Z^2) than tunes that do not. 
 
 
 
 
 

     
QED radiation is regulated by the alpha_electromagnetic 
value at the pT^2 scale of a branching. 
  
 
The running of alpha_em. 
 
 
 
 
 

     
The natural scale for couplings and PDFs is pT^2. To explore 
uncertainties it is possibly to vary around this value, however, in 
analogy with what can be done for 
hard processes. 
 
 
The default pT^2 renormalization scale is multiplied by 
this prefactor. For QCD this is equivalent to a change of 
Lambda^2 in the opposite direction, i.e. to a change of 
alpha_strong(M_Z^2) (except that flavour thresholds 
remain at fixed scales). Below, when pT^2 + pT_0^2 is used 
as scale, it is this whole expression that is multiplied by the prefactor. 
 
 
 
The default pT^2 factorization scale is multiplied by 
this prefactor. 
 
 

     
There are two complementary ways of regularizing the small-pT 
divergence, a sharp cutoff and a smooth dampening. These can be 
combined as desired but it makes sense to coordinate with how the 
same issue is handled in multiparton interactions. 
 
 
Regularize the pT → 0 divergence using the same sharp cutoff 
and smooth dampening parameters as used to describe multiparton interactions. 
That is, the MultipartonInteractions:pT0Ref, 
MultipartonInteractions:ecmRef, 
MultipartonInteractions:ecmPow and 
MultipartonInteractions:pTmin parameters are used to regularize 
all ISR QCD radiation, rather than the corresponding parameters below. 
This is a sensible physics ansatz, based on the assumption that colour 
screening effects influence both MPI and ISR in the same way. Photon 
radiation is regularized separately in either case. 
Warning: if a large pT0 is picked for multiparton 
interactions, such that the integrated interaction cross section is 
below the nondiffractive inelastic one, this pT0 will 
automatically be scaled down to cope. Information on such a rescaling 
does NOT propagate to SpaceShower, however. 
 
 

     
The actual pT0 parameter used at a given CM energy scale, 
ecmNow, is obtained as 
 
    pT0 = pT0(ecmNow) = pT0Ref * (ecmNow / ecmRef)^ecmPow 
 
where pT0Ref, ecmRef and ecmPow are the 
three parameters below. 
 
 
Regularization of the divergence of the QCD emission probability for 
pT → 0 is obtained by a factor pT^2 / (pT0^2 + pT^2), 
and by using an alpha_s(pT0^2 + pT^2). An energy dependence 
of the pT0 choice is introduced by the next two parameters, 
so that pT0Ref is the pT0 value for the reference 
cm energy, pT0Ref = pT0(ecmRef). 
 
 
 
The ecmRef reference energy scale introduced above. 
 
 
 
The ecmPow energy rescaling pace introduced above. 
 
 
 
Lower cutoff in pT, below which no further ISR branchings 
are allowed. Normally the pT0 above would be used to 
provide the main regularization of the branching rate for 
pT → 0, in which case pTmin is used  mainly for 
technical reasons. It is possible, however, to set pT0Ref = 0 
and use pTmin to provide a step-function regularization, 
or to combine them in intermediate approaches. Currently pTmin 
is taken to be energy-independent. 
 
 
 
Parton shower cut-off pT for photon coupling to a coloured 
particle. 
 
 
 
Parton shower cut-off mass for pure QED branchings. 
Assumed smaller than (or equal to) pTminChgQ. 
 
 
 
Force emissions, after the first,  to be ordered in rapidity, 
i.e. in terms of decreasing angles in a backwards-evolution sense. 
Could be used to probe sensitivity to unordered emissions. 
Only affects QCD emissions. 
 
  

    Weak showers
     
 
The emission of weak gauge bosons is an integrated part of the initial- 
and final-state radiation, see Weak Showers. 
The following settings are those specifically related to the initial-state 
weak radiation, while common settings are found in the 
Weak Showers description. 
 
 
Allow a weak shower, yes or no. 
 
 
 
Determine which branchings are allowed. 
 
 
 
 
 
 
Parton shower cut-off pT for weak branchings. 
 

    Further variables
     
 
These should normally not be touched. Their only function is for 
cross-checks. 
 

     
There are three flags you can use to switch on or off selected 
branchings in the shower: 
 
 
Allow a QCD shower; on/off = true/false. 
 
 
 
Allow quarks to radiate photons; on/off = true/false. 
 
 
 
Allow leptons to radiate photons; on/off = true/false. 
 
 

     
There are some further possibilities to modify the shower: 
 
 
Use of matrix element corrections; on/off = true/false. 
 
 
 
Use of matrix element corrections also after the first emission, 
for dipole ends of the same system that did not yet radiate. 
Only has a meaning if MEcorrections above is 
switched on. 
 
 
 
Azimuthal asymmetry induced by gluon polarization; on/off = true/false. 
 
 
 
Azimuthal asymmetry induced by interference; on/off = true/false. 
 
 
 
Size of asymmetry induced by interference. Natural value of order 0.5; 
expression would blow up for a value of 1. 
 
 
 
Number of allowed quark flavours in g → q qbar branchings, 
when kinematically allowed, and thereby also in incoming beams. 
Changing it to 4 would forbid g → b bbar, etc. 
 
 
 
Allow the possibility to use a fixed factorization scale, set by 
the parm below. This option is unphysical and only 
intended for toy-model and debug studies. 
 
 
 
The fixed factorization scale, in GeV, that would be used in the 
evaluation of parton densities if the flag above is on. 
 
 

    Technical notes
     
 
Almost everything is equivalent to the algorithm in [1]. Minor changes 
are as follows. 

       

    •  
It is now possible to have a second-order running alpha_s, 
in addition to fixed or first-order running. 

      •  

    •  
The description of heavy flavour production in the threshold region 
has been modified, so as to be more forgiving about mismatches 
between the c/b  masses used in Pythia relative to those 
used in a respective PDF parametrization. The basic idea is that, 
in the threshold region of a heavy quark Q, Q = c/b, 
the effect of subsequent Q → Q g branchings is negligible. 
If so, then 
 
   f_Q(x, pT2) = integral_mQ2^pT2  dpT'2/pT'2 * alpha_s(pT'2)/2pi 
      * integral P(z) g(x', pT'2) delta(x - z x') 
 
so use this to select the pT2 of the g → Q Qbar 
branching. In the old formalism the same kind of behaviour should 
be obtained, but by a cancellation of a 1/f_Q that diverges 
at the threshold and a Sudakov that vanishes. 

       
The strategy therefore is that, once pT2 < f * mQ2, with 
f a parameter of the order of 2, a pT2 is chosen 
like dpT2/pT2 between mQ2 and f * mQ2, a 
nd a z flat in the allowed range. Thereafter acceptance 
is based on the product of three factors, representing the running 
of alpha_strong, the splitting kernel (including the mass term) 
and the gluon density weight. At failure, a new pT2 is chosen 
in the same  range, i.e. is not required to be lower since no Sudakov 
is involved. 

      •  

    •  
The QED algorithm now allows for hadron beams with non-zero photon 
content. The backwards-evolution of a photon in a hadron is identical 
to that of a gluon, with CF → eq^2 and CA → 0. 
Note that this will only work in conjunction with parton distributions 
that explicitly include photons as part of the hadron structure, such 
as the NNPDF2.3 QCD+QED sets. The possibility of a fermion 
backwards-evolving to a photon has not yet been included, nor has 
photon backwards-evolution in lepton beams. 

      •  

     
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/ct09mc1.pds0000444000175000017500000173562312357055015015537 0ustar  sunsunPDF Table for Fit #: fl6msrv                                                  
  Ordr, Nfl, lambda        Qmass 1,  2,  3,         4,  5,  6
   1.   5.  0.1668    0.001    0.001    0.200    1.300    4.650  172.000
   IPD0, IHDN, IKNL, NfMx, Nfval,  KF, Nelmt
     1     1     1     5     2    12   57300
   NX,  NT,  JT,  NG, NTL(NG+1)
  190   24    1    2   24
(NTL(I), NTN(I), TLN(I), DTN(I), I =1, NG)
    0    6  7.19603E-01  8.04674E-02
    6   18  1.20241E+00  7.69817E-02
QINI, QMAX, (QV(I), TV(I), I =0, NT)
  1.30000E+00  1.00000E+05
  1.30000E+00  7.19603E-01
  1.54410E+00  8.00071E-01
  1.86068E+00  8.80538E-01
  2.27748E+00  9.61006E-01
  2.83526E+00  1.04147E+00
  3.59503E+00  1.12194E+00
  4.65000E+00  1.20241E+00
  6.06898E+00  1.27939E+00
  8.09160E+00  1.35637E+00
  1.10395E+01  1.43335E+00
  1.54405E+01  1.51033E+00
  2.21836E+01  1.58732E+00
  3.28092E+01  1.66430E+00
  5.00682E+01  1.74128E+00
  7.90344E+01  1.81826E+00
  1.29400E+02  1.89524E+00
  2.20389E+02  1.97222E+00
  3.91696E+02  2.04921E+00
  7.28945E+02  2.12619E+00
  1.42569E+03  2.20317E+00
  2.94218E+03  2.28015E+00
  6.43417E+03  2.35713E+00
  1.49799E+04  2.43411E+00
  3.73160E+04  2.51110E+00
  1.00000E+05  2.58808E+00
XMIN, XCR, (XV(I), I =1, NX)
  1.00000E-08  1.50000E+00
  1.00000E-08  1.17803E-08  1.38778E-08  1.63489E-08  1.92599E-08  2.26892E-08
  2.67291E-08  3.14884E-08  3.70950E-08  4.36999E-08  5.14807E-08  6.06469E-08
  7.14452E-08  8.41659E-08  9.91515E-08  1.16805E-07  1.37602E-07  1.62101E-07
  1.90962E-07  2.24961E-07  2.65013E-07  3.12195E-07  3.67777E-07  4.33253E-07
  5.10385E-07  6.01248E-07  7.08284E-07  8.34965E-07  9.83595E-07  1.15868E-06
  1.36492E-06  1.60787E-06  1.89406E-06  2.23117E-06  2.62841E-06  3.09641E-06
  3.64773E-06  4.29722E-06  5.06234E-06  5.96367E-06  7.02548E-06  8.27631E-06
  9.74982E-06  1.14856E-05  1.35304E-05  1.59392E-05  1.87766E-05  2.21191E-05
  2.60564E-05  3.06942E-05  3.61571E-05  4.25918E-05  5.01709E-05  5.90977E-05
  6.96115E-05  8.19937E-05  9.65758E-05  1.13747E-04  1.33967E-04  1.57774E-04
  1.85802E-04  2.18795E-04  2.57627E-04  3.03325E-04  3.57094E-04  4.20343E-04
  4.94725E-04  5.82239E-04  6.85007E-04  8.05733E-04  9.47515E-04  1.11390E-03
  1.30904E-03  1.53770E-03  1.80543E-03  2.11857E-03  2.48437E-03  2.91111E-03
  3.40814E-03  3.98598E-03  4.65639E-03  5.43234E-03  6.32831E-03  7.35986E-03
  8.54125E-03  9.89379E-03  1.14309E-02  1.31758E-02  1.51436E-02  1.73523E-02
  1.98189E-02  2.25606E-02  2.55851E-02  2.89092E-02  3.25397E-02  3.64826E-02
  4.07414E-02  4.53168E-02  5.02071E-02  5.54085E-02  6.09151E-02  6.67197E-02
  7.28133E-02  7.91861E-02  8.58274E-02  9.27257E-02  9.98695E-02  1.07243E-01
  1.14848E-01  1.22661E-01  1.30677E-01  1.38873E-01  1.47265E-01  1.55821E-01
  1.64539E-01  1.73408E-01  1.82435E-01  1.91589E-01  2.00875E-01  2.10284E-01
  2.19811E-01  2.29449E-01  2.39192E-01  2.49036E-01  2.58974E-01  2.69003E-01
  2.79118E-01  2.89315E-01  2.99590E-01  3.09940E-01  3.20361E-01  3.30848E-01
  3.41402E-01  3.52019E-01  3.62695E-01  3.73426E-01  3.84208E-01  3.95063E-01
  4.05950E-01  4.16887E-01  4.27870E-01  4.38898E-01  4.49969E-01  4.61082E-01
  4.72234E-01  4.83424E-01  4.94651E-01  5.05914E-01  5.17211E-01  5.28541E-01
  5.39903E-01  5.51296E-01  5.62718E-01  5.74170E-01  5.85653E-01  5.97163E-01
  6.08683E-01  6.20243E-01  6.31826E-01  6.43433E-01  6.55063E-01  6.66715E-01
  6.78389E-01  6.90084E-01  7.01799E-01  7.13535E-01  7.25289E-01  7.37063E-01
  7.48855E-01  7.60668E-01  7.72487E-01  7.84333E-01  7.96195E-01  8.08073E-01
  8.19966E-01  8.31874E-01  8.43797E-01  8.55734E-01  8.67686E-01  8.79651E-01
  8.91628E-01  9.03624E-01  9.15628E-01  9.27645E-01  9.39675E-01  9.51717E-01
  9.63770E-01  9.75836E-01  9.87912E-01  1.00000E+00
Parton Distribution Table:
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
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pythia8-8.1.86.orig/xmldoc/MultipartonInteractions.xml0000444000175000017500000006464112357055023021263 0ustar  sunsun 
 

    Multiparton Interactions
     
 
The starting point for the multiparton interactions physics scenario in 
PYTHIA is provided by Sjo87. Recent developments have 
included a more careful study of flavour and colour correlations, 
junction topologies and the relationship to beam remnants 
Sjo04, interleaving with initial-state radiation 
Sjo05, making use of transverse-momentum-ordered 
initial- and final-state showers, with the extension to fully 
interleaved evolution covered in Cor10a. A framework to 
handle rescattering is described in Cor09. 
 

     
A big unsolved issue is how the colour of all these subsystems is 
correlated. For sure there is a correlation coming from the colour 
singlet nature of the incoming beams, but in addition final-state 
colour rearrangements may change the picture. Indeed such extra 
effects appear necessary to describe data, e.g. on 
<pT>(n_ch). A simple implementation of colour 
rearrangement is found as part of the 
beam remnants description. 
 

    Main variables
     
 

    Matching to hard process
     
 
The maximum pT to be allowed for multiparton interactions is 
related to the nature of the hard process itself. It involves a 
delicate balance between not double-counting and not leaving any 
gaps in the coverage. The best procedure may depend on information 
only the user has: how the events were generated and mixed (e.g. with 
Les Houches Accord external input), and how they are intended to be 
used. Therefore a few options are available, with a sensible default 
behaviour. 
 
Way in which the maximum scale for multiparton interactions is set 
to match the scale of the hard process itself. 
 
 
 
Note: If a "second hard" process is present, the two 
are analyzed separately for the default 0 option. It is enough that 
one of them only consists of quarks, gluons and photons to restrict 
the pT range. The maximum for MPI is then set by the hard 
interaction with lowest scale. 
 
 

    Cross-section parameters
     
 
The rate of interactions is determined by 
 
The value of alpha_strong at m_Z. Default value is 
picked equal to the one used in CTEQ 5L. 
 
 

     
The actual value is then regulated by the running to the scale 
pT^2, at which it is evaluated 
 
The order at which alpha_strong runs at scales away from 
m_Z. 
 
 
 
 
 

     
QED interactions are regulated by the alpha_electromagnetic 
value at the pT^2 scale of an interaction. 
  
 
The running of alpha_em used in hard processes. 
 
 
 
 
 

     
Note that the choices of alpha_strong and alpha_em 
made here override the ones implemented in the normal process machinery, 
but only for the interactions generated by the 
MultipartonInteractions class. 
 

     
In addition there is the possibility of a global rescaling of 
cross sections (which could not easily be accommodated by a 
changed alpha_strong, since alpha_strong runs) 
 
Multiply all cross sections by this fix factor. 
 
 

     
The processes used to generate multiparton interactions form a subset 
of the standard library of hard processes. The input is slightly 
different from the standard hard-process machinery, however, 
since incoming flavours, the alpha_strong value and most 
of the kinematics are already fixed when the process is called. 
It is possible to regulate the set of processes that are included in the 
multiparton-interactions framework. 
 
 
Set of processes included in the machinery. 
 
 
 
 
 
 

    Cross-section regularization
     
 
There are two complementary ways of regularizing the small-pT 
divergence, a sharp cutoff and a smooth dampening. These can be 
combined as desired, but it makes sense to coordinate with how the 
same issue is handled in spacelike 
showers. Actually, by default, the parameters defined here are 
used also for the spacelike showers, but this can be overridden. 
 

     
Regularization of the divergence of the QCD cross section for 
pT → 0 is obtained by a factor pT^4 / (pT0^2 + pT^2)^2, 
and by using an alpha_s(pT0^2 + pT^2). An energy dependence 
of the pT0 choice is introduced by two further parameters, 
so that pT0Ref is the pT0 value for the reference 
CM energy, pT0Ref = pT0(ecmRef). 
Warning: if a large pT0 is picked for multiparton 
interactions, such that the integrated interaction cross section is 
below the nondiffractive inelastic one, this pT0 will 
automatically be scaled down to cope. 
 

     
The actual pT0 parameter used at a given CM energy scale, 
ecmNow, is obtained as 
 
     pT0 = pT0(ecmNow) = pT0Ref * (ecmNow / ecmRef)^ecmPow 
 
where pT0Ref, ecmRef and ecmPow are the 
three parameters below. 
 
 
The pT0Ref scale in the above formula. 
Note: pT0Ref is one of the key parameters in a 
complete PYTHIA tune. Its value is intimately tied to a number of other 
choices, such as that of colour flow description, so unfortunately it is 
difficult to give an independent meaning to pT0Ref. 
 
 
 
The ecmRef reference energy scale introduced above. 
 
 
 
The ecmPow energy rescaling pace introduced above. 
 
 

     
Alternatively, or in combination, a sharp cut can be used. 
 
Lower cutoff in pT, below which no further interactions 
are allowed. Normally pT0 above would be used to provide 
the main regularization of the cross section for pT → 0, 
in which case pTmin is used  mainly for technical reasons. 
It is possible, however, to set pT0Ref = 0 and use 
pTmin to provide a step-function regularization, or to 
combine them in intermediate approaches. Currently pTmin 
is taken to be energy-independent. 
 
 

     
Gösta Gustafson has proposed (private communication, unpublished) 
that the amount of screening, as encapsulated in the pT0 
parameter, fluctuates from one event to the next. Specifically, 
high-activity event are more likely to lead to interactions at large 
pT scales, but the high activity simultaneously leads to a 
larger screening of interactions at smaller pT. Such a scenario 
can approximately be simulated by scaling up the pT0 by a 
factor sqrt(n), where n is the number of interactions 
considered so far, including the current one. That is, for the first 
interaction the dampening factor is pT^4 / (pT0^2 + pT^2)^2, 
for the second pT^4 / (2 pT0^2 + pT^2)^2, for the third 
pT^4 / (3 pT0^2 + pT^2)^2, and so on. Optionally the scheme 
may also be applied to ISR emissions. For simplicity the same 
alpha_s(pT0^2 + pT^2) is used throughout. Note that, in this 
scenario the pT0 scale must be lower than in the normal case 
to begin with, since it later is increased back up. Also note that the 
idea with this scenario is to propose an alternative to colour 
reconnection to understand the rise of <pT>(n_ch), 
so that the amount of colour reconnection should be reduced. 
 
Choice to activate the above screening scenario, i.e. an increasing 
effective pT0 for consecutive interactions. 
 
 
 
 
 

    Impact-parameter dependence
     
  
The choice of impact-parameter dependence is regulated by several 
parameters. The ones listed here refer to nondiffractive topologies 
only, while their equivalents for diffractive events are put in the 
Diffraction description. Note that 
there is currently no bProfile = 4 option for diffraction. 
Other parameters are assumed to agree between diffractive and 
nondiffractive topologies. 
 
 
Choice of impact parameter profile for the incoming hadron beams. 
 
 
 
 
 
 
 
 
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a radius that is a factor 
coreRadius smaller than the rest. 
 
 
 
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a fraction coreFraction 
of the matter content of the hadron. 
 
 
 
When bProfile = 3 it gives the power of the assumed overlap 
shape exp(- b^expPow). Default corresponds to a simple 
exponential drop, which is not too dissimilar from the overlap 
obtained with the standard double Gaussian parameters. For 
expPow = 2 we reduce to the simple Gaussian, bProfile = 1, 
and for expPow → infinity to no impact parameter dependence 
at all, bProfile = 0. For small expPow the program 
becomes slow and unstable, so the min limit must be respected. 
 
 
 
When bProfile = 4, this gives the a1 constant in the 
Gaussian width. When a1 = 0., this reduces back to the single 
Gaussian case. 
 
 
 
The selection of impact parameter is related to the scale of the 
hard process: the harder this scale is, the more central the collision. 
In practice this centrality saturates quickly, however, and beyond 
a scale of roughly 20 GeV very little changes. (The relevant 
quantity is that the QCD jet cross section above the scale should be 
a tiny fraction of the total cross section.) In 2 → 1 and 
2 → 2 processes traditional scale choices work fine, but 
ambiguities arise for higher multiplicities, in particular when the 
scale is used for matching between the multiparton matrix elements 
and parton showers. Then the event scale may 
be chosen as that of a very low-pT parton, i.e. suggesting a 
peripheral collision, while the much harder other partons instead 
would favour a central collision. Therefore the default here is to 
override whatever scale value have been read in from an LHEF, say. 
Notice that the scale used here is decoupled from the maximum scale 
for MPIs (MultipartonInteractions:pTmaxMatch). 
 
 
 
 
 

    Rescattering
     
  
It is possible that a parton may rescatter, i.e. undergo a further 
interaction subsequent to the first one. The machinery to model this 
kind of physics has only recently become fully operational 
Cor09, and is therefore not yet so well explored. 
 

     
The rescattering framework has ties with other parts of the program, 
notably with the beam remnants. 
 
 
Switch to allow rescattering of partons; on/off = true/false.
     
Note: the rescattering framework has not yet been implemented 
for the MultipartonInteractions:bProfile = 4 option, 
and can therefore not be switched on in that case. 
Warning: use with caution since machinery is still not 
so well tested. 
     
 
 
Switch to allow rescattering of partons, where both incoming partons 
have already rescattered; on/off = true/false. Is only used if 
MultipartonInteractions:allowRescatter is switched on.
     
Warning: currently there is no complete implementation that 
combines it with shower evolution, so you must use 
PartonLevel:ISR = off and PartonLevel:FSR = off. 
If not, a warning will be issued and double rescattering will not be 
simulated. The rate also comes out to be much lower than for single 
rescattering, so to first approximation it can be neglected. 
     
 
 
Selection of which partons rescatter against unscattered partons 
from the incoming beams A and B, based on their rapidity value 
y in the collision rest frame. Here ySep is 
shorthand for MultipartonInteractions:ySepRescatter and 
deltaY for MultipartonInteractions:deltaYRescatter, 
defined below. The description is symmetric between the two beams, 
so only one case is described below. 
 
 
 
 
 
 
 
 
used for some of the MultipartonInteractions:rescatterMode 
options above, as the rapidity for which a scattered parton has a 50% 
probability to be considered as a potential rescatterer. 
A ySep > 0 generally implies that some central partons cannot 
rescatter at all, while a ySep < 0  instead allows central 
partons to scatter against either beam. 
 
 
 
used for some of the MultipartonInteractions:rescatterMode 
options above, as the width of the rapidity transition region, where the 
probability rises from zero to unity that a scattered parton is considered 
as a potential rescatterer. 
 
 
 

    Further variables
     
 
These should normally not be touched. Their only function is for 
cross-checks. 
 
 
Number of allowed incoming quark flavours in the beams; a change 
to 4 would thus exclude b and bbar as incoming 
partons, etc. 
 
 
 
The allowed pT range is split (unevenly) into 100 bins, 
and in each of these the interaction cross section is evaluated in 
nSample random phase space points. The full integral is used 
at initialization, and the differential one during the run as a 
"Sudakov form factor" for the choice of the hardest interaction. 
A larger number implies increased accuracy of the calculations. 
 
 

    Technical notes
     
 
Relative to the articles mentioned above, not much has happened. 
The main news is a technical one, that the phase space of the 
2 → 2 (massless) QCD processes is now sampled in 
dy_3 dy_4 dpT^2, where y_3 and y_4 are 
the rapidities of the two produced partons. One can show that 
 
    (dx_1 / x_1) * (dx_2 / x_2) * d(tHat) = dy_3 * dy_4 * dpT^2 
 
Furthermore, since cross sections are dominated by the "Rutherford" 
one of t-channel gluon exchange, which is enhanced by a 
factor of 9/4 for each incoming gluon, effective structure functions 
are defined as 
 
    F(x, pT2) = (9/4) * xg(x, pT2) + sum_i xq_i(x, pT2) 
 
With this technical shift of factors 9/4 from cross sections to parton 
densities, a common upper estimate of 
 
    d(sigmaHat)/d(pT2) < pi * alpha_strong^2 / pT^4 
 
is obtained. 
 

     
In fact this estimate can be reduced by a factor of 1/2 for the 
following reason: for any configuration (y_3, y_4, pT2) also 
one with (y_4, y_3, pT2) lies in the phase space. Not both 
of those can enjoy being enhanced by the tHat → 0 
singularity of 
 
    d(sigmaHat) propto 1/tHat^2. 
 
Or if they are, which is possible with identical partons like 
q q → q q and g g → g g, each singularity comes 
with half the strength. So, when integrating/averaging over the two 
configurations, the estimated d(sigmaHat)/d(pT2) drops. 
Actually, it drops even further, since the naive estimate above is 
based on 
 
    (4 /9) * (1 + (uHat/sHat)^2) < 8/9 < 1 
 
The 8/9 value would be approached for tHat → 0, which 
implies sHat >> pT2 and thus a heavy parton-distribution 
penalty, while parton distributions are largest for 
tHat = uHat = -sHat/2, where the above expression 
evaluates to 5/9. A fudge factor is therefore introduced to go the 
final step, so it can easily be modified when further non-Rutherford 
processes are added, or should parton distributions change significantly. 
 

     
At initialization, it is assumed that 
 
    d(sigma)/d(pT2) < d(sigmaHat)/d(pT2) * F(x_T, pT2) * F(x_T, pT2) 
       * (2 y_max(pT))^2 
 
where the first factor is the upper estimate as above, the second two 
the parton density sum evaluated at y_3 = y_ 4 = 0 so that 
x_1 = x_2 = x_T = 2 pT / E_cm, where the product is expected 
to be maximal, and the final is the phase space for 
-y_max < y_{3,4} < y_max. 
The right-hand side expression is scanned logarithmically in y, 
and a N is determined such that it always is below 
N/pT^4. 
 

     
To describe the dampening of the cross section at pT → 0 by 
colour screening, the actual cross section is multiplied by a 
regularization factor (pT^2 / (pT^2 + pT0^2))^2, and the 
alpha_s is evaluated at a scale pT^2 + pT0^2, 
where pT0 is a free parameter of the order of 2 - 4 GeV. 
Since pT0 can be energy-dependent,  an ansatz 
 
    pT0(ecm) = pT0Ref * (ecm/ecmRef)^ecmPow 
 
is used, where ecm is the current CM frame energy, 
ecmRef is an arbitrary reference energy where pT0Ref 
is defined, and ecmPow gives the energy rescaling pace. For 
technical reasons, also an absolute lower pT scale pTmin, 
by default 0.2 GeV, is introduced. In principle, it is possible to 
recover older scenarios with a sharp pT cutoff by setting 
pT0 = 0 and letting pTmin be a larger number. 
 

     
The above scanning strategy is then slightly modified: instead of 
an upper estimate N/pT^4 one of the form 
N/(pT^2 + r * pT0^2)^2 is used. At first glance, r = 1 
would seem to be fixed by the form of the regularization procedure, 
but this does not take into account the nontrivial dependence on 
alpha_s, parton distributions and phase space. A better 
Monte Carlo efficiency is obtained for r somewhat below unity, 
and currently r = 0.25 is hardcoded. 
 
In the generation a trial pT2 is then selected according to 
 
    d(Prob)/d(pT2) = (1/sigma_ND) * N/(pT^2 + r * pT0^2)^2 * ("Sudakov") 
 
For the trial pT2, a y_3 and a y_4 are then 
selected, and incoming flavours according to the respective 
F(x_i, pT2), and then the cross section is evaluated for this 
flavour combination. The ratio of trial/upper estimate gives the 
probability of survival. 
 

     
Actually, to profit from the factor 1/2 mentioned above, the cross 
section for the combination with y_3 and y_4 
interchanged is also tried, which corresponds to exchanging tHat 
and uHat, and the average formed, while the final kinematics 
is given by the relative importance of the two. 
 

     
Furthermore, since large y values are disfavoured by dropping 
PDF's, a factor 
 
   WT_y = (1 - (y_3/y_max)^2) * (1 - (y_4/y_max)^2) 
 
is evaluated, and used as a survival probability before the more 
time-consuming PDF+ME evaluation, with surviving events given a 
compensating weight 1/WT_y. 
 

     
An impact-parameter dependence is also allowed. Based on the hard 
pT scale of the first interaction, and enhancement/depletion 
factor is picked, which multiplies the rate of subsequent interactions. 
 

     
Parton densities are rescaled and modified to take into account the 
energy-momentum and flavours kicked out by already-considered 
interactions. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/Tunes.xml0000444000175000017500000003657512357055031015464 0ustar  sunsun 
 

    Tunes
     
 
Since some physics aspects cannot be derived from first principles, 
this program contains many parameters that represent a true 
uncertainty in our understanding of nature. Particularly afflicted 
are the areas of hadronization and multiparton interactions, which both 
involve nonperturbative QCD physics. 
 

     
Technically, PYTHIA  parameters can be varied independently of each 
other, but the physical requirement of a sensible description of a set 
of data leads to correlations and anticorrelations between the 
parameters. Hence the need to produce tunes, not of one parameter at 
a time, but simultaneously for a group of them. A well-known (separate) 
such example is parton densities, where combined tunes to a wide range 
of data have been produced, that can then be obtained prepackaged. 
 

     
Given the many PYTHIA parameters to be tuned, it is convenient to 
divide the task into subtasks. Firstly, if we assume jet universality, 
hadronization and final-state parton showers should be tuned to 
e^+e^- annihilation data, notably from LEP1, since this 
offers the cleanest environment. Secondly, with such parameters fixed, 
hadron collider data should be studied to pin down multiparton interactions 
and other further aspects, such as initial-state radiation. Ideally this 
would be done separately for diffractive and non-diffractive events, 
although it is not possible to have a clean separation. (Thirdly 
would come anything else, such as physics with photon beams, which 
involve further parameters, but that is beyond the current scope.) 
 

     
The first step in this program has now been taken, with a tune to LEP1 
data by Hendrik Hoeth, using the Rivet + Professor framework. Starting 
with version 8.125 it defines the default values for hadronization 
parameters and timelike showers. 
 

     
The situation is more complicated for hadronic interactions in general 
and multiparton interactions in particular, where PYTHIA 8 is more 
different from PYTHIA 6, and therefore more work is needed. Specifically, 
it is not possible to "port" a PYTHIA 6 tune to PYTHIA 8. 
 

     
A first simple tune, appropriately called "Tune 1", became default 
starting with version 8.127. It was noted, in particular by Hendrik 
Hoeth, that this tune had a tension between parameters needed to 
describe minimum-bias and underlying-event activity. Therefore some 
further physics features were introduced in the code itself 
Cor10a, which were made default as of 8.140. This version 
also included two new tunes, 2C and 2M, based on the CTEQ 6L1 and the 
MRST LO** PDF sets, respectively. These have been made by hand, as a 
prequel to complete Professor-style tunings. 
 

     
The very first data to come out of the LHC showed a higher rapidity 
plateau than predicted for current PYTHIA 6 tunes, also for the lower 
energies. This may suggest some tension in the data. Two alternatives, 
3C and 3M, were produced by a few brute-force changes of 2C and 2M. 
These were introduced in 8.140, but discontinued in 8.145 in favour of 
the new 4C tune, that is based on a more serious study of some early 
LHC data, see Cor10a. Following the comparative studies in 
Buc11, which independently confirmed a reasonable agreement 
with LHC data, tune 4C was made the default as of 8.150. A variant is 
tune 4Cx, where the Gaussian matter profile has an x-dependent 
width Cor11. 
 

     
Several ATLAS tunes have now been included, obtained with different PDFs 
and with different emphasis on minimum-bias and underlying-event data 
ATL12. These typically require LHAPDF to be linked, but this 
can be avoided in cases where the same PDF set is implemented internally. 
 

     
Central diffraction is a recent addition to the "soft QCD" process palette, 
and is thus not yet included in tunes; indeed its cross section is actively 
zeroed. You can switch it back on after you have selected your tune, 
with SigmaTotal:zeroAXB = off. But note that, since the 
total cross section is assumed unchanged, the nondiffractive cross section 
is reduced and thus also the MPI machinery affected, even if effects 
should not be big (for a small central diffractive cross section). 
 

     
Note that comparisons with data also require that other aspects agree, 
such as that decay chains are stopped at an agreed-on level. For instance, 
in the ATLAS tunes all particles with a lifetime above 10 mm 
are considered stable, ParticleDecays:limitTau0 = on, 
ParticleDecays:tau0Max = 10. We have chosen not to 
include this as part of the tune settings itself, since the tune as 
such could still be used with any other choice of stable and 
unstable particles. 
 

     
Further comparisons have been posted on the 
MCPLOTS pages. 
They have been produced with help of the 
Rivet package 
Buc10. 
 

     
In the future we hope to see further PYTHIA 8 tunes appear. Like with 
parton distributions, there is likely to be several tunes, because 
different sets of data will pull in different directions, by imperfections 
in the model or in the data, and by differences in the chosen 
tuning strategies. We therefore propose to collect some of these tunes 
here, in a prepackaged form. Of course, in all cases it is a matter 
of setting values for parameters already defined elsewhere, so the 
tunes offer no new functionality, only a more convenient setup. 
 

     
You should be aware that the evolution of the program will not guarantee 
complete backwards compatibility between versions. Most obviously this 
concerns bug fixes. But also for some other major changes, like the 
introduction of the new diffractive machinery, the default behaviour 
of old tunes has been changed retroactively. (Which should be fine for 
diffraction, since previous tunes were not based on data strongly 
influenced by diffraction.) 
 

     
The setup of the tunes is special, in that the choice of a tune forces 
the change of several different flags, modes and parameters. Furthermore 
a design principle has been that it should be possible to start out 
from a tune and then change a few of its settings. This gives power 
and flexibility at the expense of requiring a more careful ordering 
of commands. We therefore here sketch the order in which operations 
are carried out. 

       

    1. The constructor of a Pythia instance will read in 
all settings, and initialize them with their default values. 

      2.  

    2. At the end of this operation, the Tune:ee and 
Tune:pp modes (see further below) are checked. If either 
of them are positive the methods Settings::initTuneEE(...) 
and Settings::initTunePP(...), respectively, are called 
to overwrite the whole collection of settings in the relevant tune. 
Zero (or negative) means that nothing will be done. 

      3.  

    3. After the Pythia constructor all the relevant values 
for the default tune(s) have thus been set up. 

      4.  

    4. You as a user can now start to overwrite the values at will, 
using Pythia::readFile(...) to read a configuration file, 
or a list of Pythia::readString(...) commands, 
or the lower-level Settings methods. All changes 
are made in the order in which the commands are encountered during 
the execution. A given variable can be changed multiparton times, 
but it is the latest change that sets the current value. 

      5.  

    5. The two Tune:ee and Tune:pp modes can also 
be changed in exactly the same way as described for all other settings 
above. Unique for them, however, is that when one of them is encountered 
it also initiates a call to the initTuneEE(...) or 
initTunePP(...) method, respectively. In such cases all 
settings affected by the e^+e^- or pp/ppbar tune 
are first reset to the default values (the -1 options) 
and thereafter the relevant tune is set up. 

      6.  

    6. It is possible to mix commands of type 4 and 5 in any order; it 
is always the last change that counts. That is, any changes you have 
made to variables of a tune before a Tune:ee or 
Tune:pp command are overwritten by it, while variables 
you set after will overwrite the tune values. As a rule, 
therefore, you want to begin with the tune choice, and thereafter 
modify only a small part of its settings. 

      7.  

    7. Needless to say, the flexibility can lead to unwanted setups if 
you do not exercise some discipline. It is therefore recommended that 
you always check the listing obtained with 
Pythia::settings.listChanged() to confirm that the 
final set of changes is the intended one. 

      8.  

     
 
 
Choice of tune to e^+e^- data, mainly for the hadronization 
and timelike-showering aspects of PYTHIA. You should study the 
Settings::initTuneEE(...) method to find exactly which 
are the settings for the respective tune. 
 
 
 
 
 
 
 
 
 
 
 
 
Tunes made by experimental collaborations typically use the LHAPDF 
package to obtain their PDF values, and so PYTHIA has to be linked 
accordingly. For PDFs implemented natively in PYTHIA it is possible 
to use the respective tunes, without having to link to LHAPDF, if you 
set Tune:preferLHAPDF = off before the 
Tune:pp choice. 
 
 
 
Choice of tune to pp/ppbar data, mainly for the 
initial-state-radiation, multiparton-interactions and  beam-remnants 
aspects of PYTHIA. Note that the previous crude (non-)tunes 
3C and 3M are removed as of 8.145, superseded by the 4C tune. 
You should study the Settings::initTunePP(...) method 
to find exactly which are the settings for the respective tune. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/RandomNumbers.xml0000444000175000017500000001205212357055027017127 0ustar  sunsun 
     

    Random Numbers
     
 
This page describes the random-number generator in PYTHIA and 
how it can be replaced by an external one. 
  

    Internal random numbers
     
 
The Rndm class generates random numbers, using the 
Marsaglia-Zaman-Tsang algorithm Mar90. 
 

     
Random numbers R uniformly distributed in 
0 < R < 1 are obtained with 

     
   Rndm::flat(); 

     
There are also methods to generate according to an exponential, to 
x * exp(-x), to a Gaussian, or picked among a set of 
possibilities, which make use of flat(). 
 

     
If the random number generator is not initialized before, it will be 
so the first time it is asked to generate a random number, and then 
with the default seed, 19780503. This means that, by default, all runs 
will use identically the same random number sequence. This is 
convenient for debugging purposes, but dangerous if you intend to 
run several "identical" jobs to boost statistics. You can initialize, 
or reinitialize, with your own choice of seed with a 

     
   Rndm::init(seed); 

     
Here values 0 < seed < 900 000 000 gives so many 
different random number sequences, while seed = 0 will call 
the Stdlib time(0) function to provide a "random" 
seed, and seed < 0 will revert back to 
the default seed. 
 

     
The Pythia class defines a 
flag and a mode, that allows the seed to be set in 
the Pythia::init call. That would be the standard way for a 
user to pick the random number sequence in a run. 
 

    External random numbers
     
 
RndmEngine is a base class for the external handling of 
random-number generation. The user-written derived class is called 
if a pointer to it has been handed in with the 
pythia.rndmEnginePtr() method. Since the default 
Marsaglia-Zaman-Tsang algorithm is quite good, chances are that any 
replacement would be a step down, but this may still be required by 
consistency with other program elements in big experimental frameworks. 
 

     
There is only one pure virtual method in RndmEngine, to 
generate one random number flat in the range between 0 and 1: 

     
  virtual double flat() = 0; 

     
Note that methods for initialization are not provided in the base 
class, in part since input parameters may be specific to the generator 
used, in part since initialization can as well be taken care of 
externally to the Pythia code. 
 

     
An example illustrating how to run with an external random number 
generator is provided in main23.cc. 
 

    The methods
     
 
We here collect a more complete and formal overview of the methods. 
    
 
construct a random number generator, but does not initialize it. 
 
    
 
construct a random number generator, and initialize it for the 
given seed number. 
 
    
 
pass in pointer for external random number generation. 
 
    
 
initialize, or reinitialize, the random number generator for the given 
seed number. Not necessary if the seed was already set in the constructor. 
 
    
 
generate next random number uniformly between 0 and 1. 
 
    
 
generate random numbers according to exp(-x). 
 
    
 
generate random numbers according to x exp(-x). 
 
    
 
generate random numbers according to exp(-x^2/2). 
 
    
 
generate a pair of random numbers according to 
exp( -(x^2 + y^2) / 2). Is faster than two calls 
to gauss(). 
 
    
 
pick one option among vector of (positive) probabilities. 
 
    
 
save the current state of the random number generator to a binary 
file. This involves two integers and 100 double-precision numbers. 
Intended for debug purposes. Note that binary files may be 
platform-dependent and thus not transportable. 
 
    
 
set the state of the random number generator by reading in a binary 
file saved by the above command. Comments as above. 
 
    
 
if you want to construct an external random number generator 
(or generator interface) then you must implement this method 
in your class derived from the RndmEningen base class, 
to give a random number between 0 and 1. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/HadronLevelStandalone.xml0000444000175000017500000003044012357055020020561 0ustar  sunsun 
 

    Hadron-Level Standalone
     
 
The Les Houches Accord allows external process-level configurations 
to be fed in, for subsequent parton-level and hadron-level generation 
to be handled internally by PYTHIA. There is no correspondingly 
standardized interface if you have external events that have also 
been generated through the parton-level stage, so that only the 
hadron-level remains to be handled. A non-standard way to achieve this 
exists, however, and can be useful both for real applications and 
for various tests of the hadronization model on its own. 
 

     
The key trick is to set the flag ProcessLevel:all = off. 
When pythia.next() is called it then does not try to 
generate a hard process. Since there are no beams, it is also not 
possible to perform the normal PartonLevel step. 
(It is still possible to generate final-state radiation, but this 
is not automatic. It would have to be done by hand, using the 
pythia.forceTimeShower(...) method, before 
pythia.next() is called.) 
Thus only the HadronLevel methods are 
called, to take the current content of the event record stored in 
pythia.event as a starting point for any hadronization 
and decays that are allowed by the normal parameters of this step. 
Often the input would consist solely of partons grouped into colour 
singlets, but also (colour-singlet) particles are allowed. 
 

     
To set up all the parameters, a pythia.init() call has 
to be used, without any arguments. In brief, the structure of the 
main program therefore should be something like 

     
  Pythia pythia;                               // Declare generator. 
  Event& event = pythia.event                  // Convenient shorthand. 
  pythia.readString("ProcessLevel:all = off"); // The trick! 
  pythia.init();                               // Initialization. 
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) { 
    // Insert filling of event here! 
    pythia.next();                             // Do the hadron level. 
  } 

     
Of course this should be supplemented by analysis of events, error checks, 
and so on, as for a normal PYTHIA run. The unique aspect is how to fill 
the event inside the loop, before pythia.next() 
is called. 
 

    Input configuration
     
 
To set up a new configuration the first step is to throw away the current 
one, with event.reset(). This routine will also reserve 
the zeroth entry in the even record to represent the event as a whole. 
 

     
With the event.append(...) methods a new entry is added at the 
bottom of the current record, i.e. the first time it is called entry 
number 1 is filled, and so on. The append  method basically 
exists in four variants, either without or with history information, 
and with four-momentum provided either as a Vec4 four-vector 
or as four individual components: 

     
  append( id, status, col, acol, p, m) 
  append( id, status, col, acol, px, py, pz, e, m) 
  append( id, status, mother1, mother2, daughter1, daughter2, col, acol, p, m) 
  append( id, status, mother1, mother2, daughter1, daughter2, col, acol, px, py, pz, e, m) 

     
The methods return the index at which the entry has been stored, 
but normally you would not use this feature. 
 

     
You can find descriptions of the input variables 
here. 
The PDG particle code id and the Les Houches Accord colour 
col and anticolour acol tags must be set 
correctly. The four-momentum and mass have to be provided in units of GeV; 
if you omit the mass it defaults to 0. 
 

     
Outgoing particles that should hadronize should be given status code 23. 
Often this is the only status code you need. You could e.g. also fill in 
incoming partons with -21 and intermediate ones with -22, if you so wish. 
Usually the choice of status codes is not crucial, so long as you recall 
that positive numbers correspond to particles that are still around, while 
negative numbers denote ones that already hadronized or decayed. However, 
so as not to run into contradictions with the internal PYTHIA checks 
(when Check:event = on), or with external formats such as 
HepMC, we do recommend the above codes. When pythia.next() 
is called the positive-status particles that hadronize/decay get the sign 
of the status code flipped to negative but the absolute value is retained. 
The new particles are added with normal PYTHIA status codes. 
 

     
For normal hadronization/decays in pythia.next() the 
history encoded in the mother and daughter indices is not used. 
Therefore the first two append methods, which set all these 
indices vanishing, should suffice. The subsequent hadronization/decays 
will still be properly documented. 
 

     
The exception is when you want to include junctions in your string 
topology, i.e. have three string pieces meet. Then you must insert in 
your event record the (decayed) particle that is the reason for the 
presence of a junction, e.g. a baryon beam remnant from which several 
valence quarks have been kicked out, or a neutralino that underwent a 
baryon-number-violating decay. This particle must have as daughters 
the three partons that together carry the baryon number. 
  

     
The sample program in main21.cc illustrates how you can work 
with this facility, both for simple parton configurations and for more 
complicated ones with junctions. 
 

     
As an alternative to setting up a topology with the methods above, 
a Les Houches Event File (LHEF) 
can also provide the configurations, using the "no-beams" extension. 
For parsing reasons the <init> and 
</init> tags need to be present as two separate 
lines, but there need not be anything between them. If there is,
then the beam identities should be picked to be 0. A standard
<LesHouchesEvents version="1.0"> line must also
be at the top of the file. For the rest only the 
<event>....</event> blocks need to be present, 
one for each event. You should select Beams:frameType = 4
and provide the file name in Beams:LHEF, but setting  
ProcessLevel:all = off here is superfluous since the  
absence of beams is enough to make this apparent. Needless to say, an 
externally linked LHAup class works as well as an LHEF, 
with Beams:frameType = 5. 
 

     
The event information to store in the LHEF, or provide by the 
LHAup, is essentially the same as above. The only 
difference is in status codes: outgoing particles should have 1 
instead of 23, and intermediate resonances 2 instead of -22. 
Incoming partons, if any, are -1 instead of -21. 
 

    Extensions to resonance decays
     
 
With the above scheme, pythia.next() will generate 
hadronization, i.e. string fragmentation and subsequent decays of 
normal unstable particles. Alternatively it could be used to
decay resonances, i.e. 
W, Z, top, Higgs, SUSY and other massive particles. 
 

     
The default when a resonance is encountered is to decay it, let the 
decay products shower, and finally hadronize the partons. Should a
decay sequence already be provided at input, this sequence will 
be used as input for the showers, which are handled consecutively,
followed by hadronization. Thus, a Higgs could be provided alone, 
or decaying to a pair of W bosons, or the same with the 
W's decaying further to fermion pairs. Needless to say,
correct process-specific angular correlations in decays should not 
be expected when the process is unspecified.  


     
If you do not want resonances to decay then you can use the 
ProcessLevel:resonanceDecays = off setting.
If instead you want them to decay but not shower, you can 
use either PartonLevel:FSR = off or 
PartonLevel:FSRinResonances = off. A warning here 
is that, generally, it is not a good idea to provide a part of the
shower history but not all, e.g.  Z^0 → q qbar g:
it is not straightforward to avoid doublecouning or other problems
within this simpler alternative to a full-scale event generation.
 

     
The input configuration has to follow the rules described above, 
i.e. ProcessLevel:all = off should be set for internal 
input, but is not necessary for LHEF input. It is possible to combine 
several resonances, and other coloured or uncoloured particles into 
the same event. Partonic daughters of resonances would then shower, 
but other partons not. It may be possible to fool the program, 
however, since this is not a fully tested core functionality, 
so don't combine wildly if there is no reason to.

 

    Repeated hadronization or decay
     
 
An alternative approach is possible with the 
pythia.forceHadronLevel() routine. This method does 
a call to the HadronLevel methods, irrespective of the 
value of the HadronLevel:all flag. If you hadronize 
externally generated events it is equivalent to a 
pythia.next() call with 
ProcessLevel:all = off. 
 

     
This method truly sticks to the hadron level, and thus cannot handle 
resonance decays.
 

     
The similarity of names indicates that 
pythia.forceTimeShower( int iBeg, int iEnd, double pTmax, 
int nBranchMax = 0) is intended to belong to the same set of 
work-by-hand methods. Here iBeg and iEnd 
give the range of partons that should be allowed to shower, 
pTmax the maximum pT scale of emissions, 
and a nonzero nBranchMax a maximum number of allowed 
branchings. Additionally, a scale has to be set for each 
parton that should shower, which requires an additional final argument 
to the append methods above. This scale limits the maximum 
pT allowed for each parton, in addition to the global 
pTmax. When not set the scale defaults to 0, meaning no 
radiation for that parton. 
 

     
The real application instead is for repeated hadronization of the same 
PYTHIA process- and parton-level event. This may for some studies 
help to save time, given that these two first step are more 
time-consuming than the hadronization one. 
 

     
For repeated hadronization you should first generate an event as usual, 
but with HadronLevel:all = off. This event you can save 
in a temporary copy, e.g. Event savedEvent = pythia.event. 
Inside a loop you copy back with pythia.event = savedEvent, 
and call pythia.forceHadronLevel() to obtain a new 
hadronization history. 
 

     
A more limited form of repetition is if you want to decay a given kind 
of particle repeatedly, without having to generate the rest of the event 
anew. This could be the case e.g. in B physics applications. 
Then you can use the pythia.moreDecays() method, which 
decays all particles in the event record that have not been decayed 
but should have been done so. The 
pythia.particleData.mayDecay( id, false/true) method 
may be used to switch off/on the decays of a particle species 
id, so that it is not decayed in the 
pythia.next() call but only inside a loop over a number of 
tries. 
 

     
Between each loop the newly produced decay products must be 
removed and the decayed particle status restored to undecayed. 
The former is simple, since the new products are appended to the 
end of the event record: event.saveSize() saves the 
initial size of the event record, and event.restoreSize() 
can later be used repeatedly to restore this original size, which means 
that the new particles at the end are thrown away. The latter is more 
complicated, and requires the user to identify the positions of all 
particles of the species and restore a positive status code with 
event[i].statusPos(). 
 

     
The main15.cc program illustrates both these methods, 
i.e. either repeated hadronization or repeated decay of PYTHIA 
events. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/NLOMerging.xml0000444000175000017500000012216712357055023016321 0ustar  sunsun 
 
 

    NLO Merging
     
 
Pythia offers two NLO merging approaches. Both of these methods have been 
presented in Lon13. The goal of NLO merging is to extend tree-level 
multi-jet merging methods to next-to-leading order accuracy in QCD, for every 
available jet multiplicity. If for example NLO calculations for Higgs + 0 jet, 
Higgs + 1 jet and Higgs + 2 jets were available, NLO merging allows to 
simultaneously describe 0-, 1- and 2-jet observables with NLO accuracy. 
Further jets can, depending on additional tree-level input, be described by 
additional tree-level matrix elements. In the example, it would be possible to 
achieve NLO accuracy for 0-, 1- and 2-jet observables, tree-level accuracy 
for 3-, 4- and 5-jet configurations, and use the parton shower approximation 
for events with more than five jets. 
 

     The two NLO merging methods implemented in Pythia are called 
NL3 (for Nils Lavesson + Leif Lönnblad) and UNLOPS 
(for unitarised 
NLO+PS merging). Both of these schemes require Les Houches Event File input 
that is generated by tree-level or NLO matrix element generators. Currently, 
Pythia requires NLO input generated within the POWHEG framework. The 
generation of sensible input will be discussed below. The two NLO merging 
methods are illustrated in the sample main programs main87.cc 
(introducing NL3 ) and main88.cc (introducing UNLOPS). 
Before describing these programs, we would like to outline the differences 
between the two approaches. 
 

     NL3 is a generalisation of CKKW-L 
tree-level merging. The main 
idea of NL3 is to start from CKKW-L-reweighted multi-jet 
merging, and replace the 
αsn+0- and 
αsn+1-terms by the NLO result of POWHEG. 
This "replacement" means that we subtract the 
αsn+0- and 
αsn+1-terms from the CKKW-L-reweighted 
tree-level samples, and add another sample -- the POWHEG input. 
All "higher orders" are unchanged w.r.t. CKKW-L. 
We have implemented the 
"inclusive" scheme of Lon13 in Pythia. This means that the POWHEG 
input will contain contributions for hard, resolved real emission jets, which 
are already taken care of by higher-multiplicity samples in CKKW-L. Thus, 
explicit phase space subtractions are also included. The sample program 
main87.cc, together with the input file main87.cmnd, 
illustrates the procedure. 
 

     UNLOPS is a generalisation of the 
UMEPS multi-jet merging scheme. 
Since UMEPS is already slightly more complicated than 
CKKW-L, this makes UNLOPS more complicated than NL3. The basic idea 
however remains the same: Start from a tree-level merging scheme (in this case 
UMEPS), remove all undesirable αsn+0- and 
αsn+1-terms from this result, and add 
back the "correct" description via POWHEG input samples. Again, since the 
"inclusive" scheme of Lon13 was implemented in Pythia, it is 
necessary to handle explicit phase space subtractions. Similar to 
UMEPS, UNLOPS further ensures that the lowest-multiplicity cross section 
is given by the NLO result. This means that the UMEPS philosophy of "subtract 
what you add" needs to be extended to multi-leg NLO inputs. 
 

     UNLOPS is a theoretically more appealing definition of NLO merging than 
NL3, and should thus be considered the preferred choice. However, 
we believe it valuable to include both methods into Pythia, so that the 
variation of NLO merged results due to different NLO merging schemes can be 
studied in situ. Furthermore, NLO merging can be outlined more pedagogically 
when starting from NL3. The two NLO merging methods share parts of 
code with CKKW-L and UMEPS, and correspondingly share many input settings 
with these schemes. In particular, 

     
          The hard process 
(Merging:Process) needs to be defined 
exactly as in CKKW-L (see Defining the hard process in the 
CKKW-L documentation). 

     
          The merging scale value 
(Merging:TMS) has to be set. 

     
          The maximal number of additional partons in 
tree-level events (Merging:nJetMax) has to be set. 
 

     All settings listed under the sections "Matrix element 
merging and HepMC output for RIVET" and "Further 
variables" in  the CKKW-L 
documentation can be accessed in NLO merging as well. Furthermore, 
the Merging:nRecluster switch (see the 
UMEPS documentation) is important. 
 
Also, all MergingHooks routines that allow for user 
interference in CKKW-L merging are also usable for NLO merging -- with the 
exception of a user-defined merging scale. The NLO merging schemes currently 
implemented in Pythia do not allow for a merging scale definition that 
differs from the parton shower evolution variable. Since this merging scale 
definition is not completely obvious, the NLO merging schemes also share the 
Merging:enforceCutOnLHE switch with CKKW-L. In this way, it 
is possible to use LHE files that are regularised only with weak cuts as 
input, while the merging machinery imposes the stronger merging scale cut 
automatically. This means that no merging scale implementation is required 
from the user side, but also means that it is the user's responsibility to 
ensure that the cuts used for generating input LHE files are always looser 
than the cut given by the merging scale value Merging:TMS. This 
will lead to warnings of the form "Les Houches Event fails merging scale 
cut. Cut by rejecting event". These warning should rather be regarded 
as information. An example of inclusive matrix element generation cuts would 
be pTjet = 5 GeV, ΔRjetA jetB = 
0.01 and QjetA jetB = 5 GeV, if NLO merging with a 
desired merging scale value of Merging:TMS = 15 is attempted for 
Higgs + jets events at the LHC. 
 

     In the following, we will first describe the generation of NLO input 
samples, and list input settings for NLO merging in Pythia. Then, we will 
examine the sample main programs main87.cc and 
main88.cc, which implement NL3 and UNLOPS merging, 
respectively. 
 


     

    Inputs for NLO merging
     
 
The NLO merging schemes in Pythia currently require Les Houches Event File 
input. To perform a merging with up to M additional partons described 
by tree-level matrix elements, and with up to N ≤ M-1 additional 
partons at NLO accuracy, the user needs to supply 

     
          LHE files for 0... M additional 
partons, taken from a tree-level matrix element generator, and 

     
          LHE files for 0... N additional 
partons, taken from a POWHEG NLO generator. 

     All input files need to be regularised, if they contain additional 
partons. Large files with fairly inclusive (i.e. loose) cuts are recommended. 
The input LHE files should further be generated with fixed renormalisation 
and factorisation scales. (In the POWHEG-BOX program, this means using the 
settings runningscales 0, btlscalereal 1, btlscalect 1, 
ckkwscalup 0. Some older processes in the POWHEG-BOX program need the 
input runningscale 0 instead of runningscales 0.) 
 

     When attempting NLO merging, the following Pythia settings are relevant. 
 
 
The maximal number of additional jets for which NLO event samples are 
supplied by the user. 
 
 
 
The fixed factorisation scale used in the hard process cross section, 
as needed to 
generate the leading-order weight, in case the factorisation scale cannot 
be inferred from Les Houches event input. (This is the case for files that 
have been generated with the POWHEG-BOX program, since this program prints 
the transverse momentum scale of the real emission into the LH events.). 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
If wimpy showers (see Timelike Showers and 
Spacelike Showers) are used together 
with multi-jet merging, then this scale further sets the 
parton shower starting scale (μQ) for the core hard 
process. 
 
 
 
The fixed renormalisation scale used in the hard process cross section, 
as needed to 
generate the leading-order weight, in case the renormalisation scale cannot 
be inferred from Les Houches event input. (As mentioned above, this is the 
case for files generated with the POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
 
 
 
The fixed factorisation scale used in the matrix element calculation. This 
information is needed if factorisation scale variations in NLO merged results 
are attempted. Depending on the matrix element generator, it might not be 
possible to infer the factorisation scale from Les Houches event input, and 
thus, setting an explicit value is required. (As mentioned above, this is the 
case for files generated with the POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
 
 
 
The fixed renormalisation scale used in the matrix element calculation. This 
information is needed if renormalisation scale variations in NLO merged 
results are attempted, for the same reason as factorisation scales might be 
required. (As mentioned above, this is the case for files generated with the 
POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
 
 

     All further settings will be discussed while examining the sample main 
programs. 
 


     

    NL3 merging with main87.cc
     
 
NL3-style NLO merging in Pythia is illustrated by the sample 
main program main87.cc. This program works together with an input 
file (e.g. main87.cmnd) for Pythia settings, and requires LHE 
input files that follow the naming convention 
name_tree_#nAdditionalJets.lhe (tree-level samples) and 
name_powheg_#nAdditionalJets.lhe (POWHEG NLO samples). 
main87.cc produces HepMC event output Dob01, which can 
be used for analysis (e.g. using RIVET Buc10), or as input for 
detector simulations. For users not familiar with HepMC output, it is of 
course possible remove the HepMC code in the sample program, and use Pythia's 
histogramming routines instead. Histograms should then be filled as indicated 
for the histPTFirstSum histograms in main84.cc, i.e. 
using weightNLO*normhepmc. 
 

     If the user only wants to change the number of requested events 
(Main:numberOfEvents), the hard process 
(Merging:Process), the merging scale value 
(Merging:TMS) and the maximal number of additional tree-level or 
NLO-accuracte jets (Merging:nJetMax and 
Merging:nJetMaxNLO, respectively), and HepMC output is desired, 
then there is no need to change the main87.cc code. The input 
LHE files are also part of the (command line) input for 
main87.exe. The default settings in main87.cmnd 
are intended to work with the (very short) sample LHEF inputs 
(w_production_tree_0.lhe, w_production_tree_1.lhe, 
w_production_tree_2.lhe and w_production_powheg_0.lhe, 
w_production_powheg_1.lhe). For these input files, the 
main87.exe executable can be run with the command 

     
./main87.exe main87.cmnd w_production myhepmc.hepmc 

     to produce a file myhepmc.hepmc of NLO merged HepMC event output. All 
mandatory Pythia input settngs have been outlined earlier. Please refrain from 
adding input switches than invoke any other merging scheme (e.g. e.g. 
Merging:doKTMerging) into the input file that you want to use in 
conjunction with main87.cc. 
 

     In the following, we will explain main87.cc in depth. Users 
who are willing to accept the default choices do not need to know all details, 
but are still encouraged to read further. 
 

    Program flow
     
 
main87.cc can be divided into four steps: 

              1. Estimate the cross section for 
tree-level and NLO samples after the merging scale cut. 

              2. Produce reweighted tree-level 
     events, which do not contain αs0- 
     and αs1-terms. 

              3. Add POWHEG NLO events. 

              4. Subtract phase space points with an 
     extra (real-emission) jet above the merging scale from the POWHEG result, 
     since such configurations have already been taken into account by 
     processing other samples. 
 

     The first step is necessary to produce the correct weights for HepMC 
output events. The estimation of tree-level cross sections after the merging 
scale cut is generated by invoking the switch 
Merging:doXSectionEstimate together with 
Merging:doNL3Tree. In this configuration, the latter switch will 
only act to define the merging scale.  After the tree-level cross sections 
have been estimated, main87.cc estimates the NLO cross sections 
after application of the merging scale cut, by inferring 
Merging:doXSectionEstimate together with 
Merging:doNL3Loop. Again, in this configuration, the latter 
switch only acts as the merging scale definition. When generating the 
estimates, all showering, multiparton interactions and hadronisation is 
turned off to not unnecessarily waste processor time. 
For all estimates, is further mandatory to set the value of 
Merging:nRequested to the jet multiplicity of the current event 
sample (e.g. to "2" for a sample containing W + 2 jet events). This is 
necessary in order to correctly apply the merging scale cut. POWHEG 
NLO input files for W + 1 jet e.g. contain W + 1 jet and W + 2 jet (i.e. real 
emission) kinematics. However, the merging scale cut aims at 
regularising the "underlying Born" configuration (i.e. the W + 1 states in our 
example). Setting Merging:nRequested = 1 for the  W + 1 jet 
POWHEG sample ensures that even for real-emission (W + 2 jet) kinematics, the 
merging scale cut is applied to W + 1 jet states. 
 

     After the cross section estimation step, main87.cc proceeds 
to perform the actual merging. Before explaining this part, we would like to 
make some comments about K-factors. 
 

     main87.cc is prepared to use 
fixed K-factors to rescale the weight of tree-level events. This rescaling 
does not affect the NLO accuracy of the method, and was investigated in 
Lon13. By default, main87.cc does not use K-factors. 
However, if the user wants to include K-factors, this can be done by using 
the following input settings. 
 
 
The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
zero-jet tree-level events. 
 
 
 
The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
one-jet tree-level events. 
 
 
 
The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
two-jet tree-level events. 
 
 

     If the variables k0, k1, k2 in main87.cc are set 
to non-unity values, K-factors will be applied. The K-factor 
of highest jet multiplicity will then be used 
to also rescale tree-level samples with a number of additional jets 
beyond the number of the highest-multiplicity real-emission sample. If we, for 
example, attempt an NLO merging of W+0 jet and W+1 jet 
at NLO accuracy, and with W+≤4 jets at tree-level accuracy, then 
Merging:kFactor2j is used to rescale the W+2 jet, 
W+3 jets and W+4 jets tree-level samples. We recommend to 
not include a K-factor rescaling of the tree-level samples. 
 
 

     Let us turn to the production of NLO merged events. The first step in 
the procedure is to generate reweighted tree-level samples. This is 
implemented by using the following switch. 
 
 
This switch will allow the generation of the weight that should be applied to 
tree-level events in the NL3 merging scheme. Please note that, in 
order for this to work smoothly, the switch Merging:doNL3Loop and 
the switch Merging:doNL3Subt have to be turned off. As for the 
estimation of cross sections, it is mandatory to set 
the correct value of Merging:nRequested. 
 
 

     
The weight of tree-level events can be accessed by calling the function 
double Info::mergingWeightNLO(). When printing 
(or histogramming) NLO merged events, this weight, multiplied with the 
estimated cross section of the current event sample, should be used as event 
weight (or weight of histogram bins). For Merging:doNL3Tree = on, 
the weight double Info::mergingWeightNLO() contains the 
CKKW-L weight, subtracted, if necessary, by 
αs0- and 
αs1-terms. This weight can become 
negative. As an example, imagine we attempt an NLO merging of W + 0 jet and 
W + 1 jet at NLO accuracy, and with  W + 2 jets at tree-level accuracy. 
This weight will then be 

       Info::mergingWeightNLO() = CKKW-L-weight for zero jets 
 - αs0-terms 
 - αs1-terms 
 for events in the zero-jet sample, 

       Info::mergingWeightNLO() = CKKW-L-weight for one jet 
 - αs0-terms 
 - αs1-terms 
 for events in the one-jet sample, and 

       Info::mergingWeightNLO() = CKKW-L-weight for two jets  
for events in the two-jet sample. 
 

     After the tree-level events have been reweighted, main87.cc 
will move on to process the POWHEG NLO input. This is done by switching to the 
following flag. 
 
 
This switch will allow the processing of POWHEG NLO events in the 
NL3 merging scheme. Please note that, in order for this to work 
smoothly, the switch Merging:doNL3Tree and the switch 
Merging:doNL3Subt have to be turned off. As for the estimation 
of cross sections, it is mandatory to set the correct value of 
Merging:nRequested. 
 
 

     
Also in this case, the NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doNL3Loop = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in Lon13). 
 
After the processing of POWHEG NLO events, main87.cc continues 
by generating explicit phase space subtractions. This is facilitated by the 
following switch. 
 
 
This switch will allow the processing of tree-level events, to produce 
explicit phase space subtractions in the NL3 merging scheme. 
Please note that, in order for this to work smoothly, the switch 
Merging:doNL3Tree and the switch 
Merging:doNL3Loop have to be turned off. As for the estimation 
of cross sections, it is mandatory to set the correct value of 
Merging:nRequested. Furthermore, it is necessary to set the 
value of Merging:nRecluster to one. 
 
 

     These contributions are necessary because we have implemented 
the "inclusive 
scheme" of Lon13 in Pythia. The benefit of this scheme is the user 
does not have to intrusively change the POWHEG-BOX program to implement very 
particular cuts. Let us explain this comment with an example (a more detailed 
explanation of the idea is given in Appendix A.2 of Lon13). When 
generating W + 0 jet events with the POWHEG-BOX program, the output LHE files 
will contain W  + 1 jet real emission events. Some of these events will 
contain a jet above the merging scale. However, in NLO merging methods, such 
configurations have already been included by a separate W + 1 jet sample. 
Thus, to avoid counting such events twice, we have to remove the 
configurations from the POWHEG-BOX output. We choose to remove such events 
by explicit subtraction. 
 

     
As always, the NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doNL3Subt = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in Lon13). 
 

     After these steps, all necessary events for NL3 merging have 
been produced. main87.cc finishes by returning the 
NL3-merged total cross section. 
 
 


     

    UNLOPS merging with main88.cc
     
 
UNLOPS-style NLO merging in Pythia is illustrated by the sample 
main program main88.cc, which relies on an input file (e.g. 
main88.cmnd) for Pythia settings. As for all merging methods in 
Pythia, main88.cc requires LHE input files. To use 
main88.cc without any changes, these input files should follow 
the naming convention name_tree_#nAdditionalJets.lhe (for tree-level 
samples) and name_powheg_#nAdditionalJets.lhe (for POWHEG NLO 
samples). main88.cc produces HepMC event output, which can e.g. 
be analysed with RIVET, or used as input for detector simulations. 
For users not familiar with HepMC output, it is of course possible remove 
the HepMC code in the sample program, and use Pythia's histogramming routines 
instead. Histograms should then be filled as indicated for the 
histPTFirstSum histograms in main84.cc, i.e. using 
weightNLO*normhepmc. 
 

     As for NL3, it is not necessary to change 
main88.cc if the user is only interested in changing standard 
settings. Thus, if the user only wants to change the number of requested 
events (Main:numberOfEvents), the hard process 
(Merging:Process), the merging scale value 
(Merging:TMS) and the maximal number of additional tree-level or 
NLO-accuracte jets (Merging:nJetMax and 
Merging:nJetMaxNLO, respectively), and HepMC output is desired, 
then there is no need to change the main88.cc code. The input 
LHE files are also part of the (command line) input for 
main88.exe. The default settings in main88.cmnd 
are intended to work with the (very short) sample LHEF inputs 
(w_production_tree_0.lhe, w_production_tree_1.lhe, 
w_production_tree_2.lhe and w_production_powheg_0.lhe, 
w_production_powheg_1.lhe). For these input files, the 
main88.exe executable can be run with the command 

     
./main88.exe main88.cmnd w_production myhepmc.hepmc 

     to produce a file myhepmc.hepmc of UNLOPS merged HepMC event output. 
Please refrain from adding input switches than invoke any other merging 
scheme (e.g. Merging:doKTMerging) into the input file that you 
want to use in conjunction with main88.cc. 
 

     In the following, we will explain main88.cc in depth. To 
not be overly repetitive, we will at times refer to the relevant parts in the 
discussion of main87.cc. Users who are willing to accept the 
default choices do not need to know all details, but are still encouraged to 
read further. 
 

    Program flow
     
 
main88.cc can be divided into five steps: 

              1. Estimate the cross section for 
tree-level and NLO samples after the merging scale cut. 

              2. Produce reweighted tree-level 
     events, which do not contain αs0- 
     and αs1-terms. 

              3. Add POWHEG NLO events. 

              4. Subtract integrated, reweighted 
     tree-level events, to ensure that the inclusive NLO cross section remains 
     intact upon inclusion of multi-jet tree-level events. 

              5. Subtract integrated POWHEG NLO 
     events, to ensure that the inclusive NLO cross section remains 
     intact upon inclusion of multi-jet tree-level events. 
 

     The estimation of cross sections after the application of the merging 
scale cut is nearly identical to the first step in main87.cc, and 
we refer to the first paragraph of the "Program flow" discussion for 
main87.cc for details. For main88.cc, the flags 
Merging:doUNLOPSTree or Merging:doUNLOPSLoop supply 
the merging scale definition used in the cross section estimation. 
 

     After the cross section estimation step, main88.cc proceeds 
to perform the actual NLO merging. The discussion of K-factors given in the 
NL3 section (i.e. of Merging:kFactor0j, 
Merging:kFactor1j and Merging:kFactor2j) also 
applies to main88.cc. Although UNLOPS is considerably more stable 
than NL3 upon changing the K-factors, we do not recommend the 
use of K-factors. 
 

     The production of UNLOPS-merged events with main88.cc starts 
by generating reweighted tree-level events. The processing of tree-level 
events can be invoked by setting the following flag. 
 
 
This switch will allow the generation of the weight that should be applied to 
tree-level events in the UNLOPS merging scheme. Please note that, in 
order for this to work smoothly, the switches 
Merging:doUNLOPSLoop, Merging:doUNLOPSSubt and 
Merging:doUNLOPSSubtNLO have to be turned off. As for the 
estimation of cross sections, it is mandatory to set 
the correct value of Merging:nRequested. 
 
 

     
The weight of tree-level events is returned by the function 
double Info::mergingWeightNLO(). When printing 
(or histogramming) NLO merged events, this weight, multiplied with the 
estimated cross section of the current event sample, should be used as event 
weight (or weight of histogram bins). For 
Merging:doUNLOPSTree = on, 
the weight double Info::mergingWeightNLO() contains the 
UMEPS weight, subtracted, if necessary, by 
αs0- and 
αs1-terms. This weight can become 
negative. As an example, assume that we attempt an UNLOPS merging of W + 0 jet 
and W + 1 jet at NLO accuracy, and with  W + 2 jets at tree-level accuracy. 
This weight will then be 

       Info::mergingWeightNLO() = UMEPS-weight for one jet 
 - αs0-terms 
 - αs1-terms 
 for events in the one-jet sample, and 

       Info::mergingWeightNLO() = UMEPS-weight for two jets  
for events in the two-jet sample. 
 

     After reweighted tree-level events have been generated, 
main88.cc processes the POWHEG NLO input files. This is 
facilitated by the following switch. 
 
 
This switch will allow the processing of POWHEG NLO events in the 
UNLOPS merging scheme. Please note that, in order for this to work 
smoothly, the switches Merging:doUNLOPSTree, 
Merging:doUNLOPSSubt and Merging:doUNLOPSSubtNLO 
have to be turned off. As for the estimation of cross sections, it is 
mandatory to set the correct value of 
Merging:nRequested. 
 
 

     
The NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doUNLOPSLoop = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in Lon13). 
 

     
After processing the POWHEG NLO events, main88.cc continues 
by generating the reweighted subtraction terms of UMEPS. This part is 
implemented by setting the following flag. 
 
 
This switch will allow the processing of tree-level events, to produce UMEPS 
subtraction terms for the UNLOPS merging scheme. Please note 
that, in order for this to work smoothly, the switches 
Merging:doUNLOPSTree, Merging:doUNLOPSLoop and 
Merging:doUNLOPSSubtNLO have to be turned off. 
As for the estimation of cross sections, it is mandatory to set the 
correct value of Merging:nRequested. Furthermore, it is necessary 
to set the value of Merging:nRecluster to one. 
 
 

    By using this switch, main88.cc ensures that the inclusive 
cross section is preserved. At variance with UMEPS however, the event weight 
contains the UMEPS weight, subtracted, if necessary, by 
αs+0- and 
αs1-terms. Otherwise, 
αsn+0- and 
αsn+1-terms of the UMEPS procedure would 
be introduced, although our goal is to describe all 
αsn+0- and 
αsn+1-terms by n-jet POWHEG input. 
The weight of these integrated, subtractive tree-level events is, as always, 
returned by the function double Info::mergingWeightNLO(). 
When printing (or histogramming) NLO merged events, this weight, multiplied 
with the estimated cross section of the current event sample, and with  
-1, should be used 
as event weight (or weight of histogram bins). As for the case of tree-level 
events in UNLOPS, this weight can become negative. 
For the example given before, i.e. attempting an UNLOPS merging of 
W + 0 jet and  W + 1 jet at NLO accuracy, and with 
W + 2 jets at tree-level accuracy, this weight will be 

       Info::mergingWeightNLO() = UMEPS-weight for the integrated 
 one-jet sample - αs0-terms 
 - αs1-terms 
 for events in the integrated one-jet sample, and 

       Info::mergingWeightNLO() = UMEPS-weight for the integrated 
 two-jet sample 
for events in the integrated two-jet sample. 
 

    This choice of weights already 
incorporates the fact that we have implemented the "inclusive scheme" of 
Lon13, meaning that the "explicit phase space subtractions" of 
NL3 are (partially) included though these weights. 
 

     To ensure that the NLO inclusive cross section is unchanged, UNLOPS 
further requires the introduction of another sample. If POWHEG NLO events with 
one or more jets are included, it is necessary to subtract these samples 
in an integrated form. In main88.cc, this is done by setting the 
following flag. 
 
 
This switch will allow the processing of POWHEG NLO events, to produce NLO 
subtraction terms for the UNLOPS merging scheme. Please note 
that, in order for this to work smoothly, the switches 
Merging:doUNLOPSTree, Merging:doUNLOPSLoop and 
Merging:doUNLOPSSubt have to be turned off. 
As for the estimation of cross sections, it is mandatory to set the 
correct value of Merging:nRequested. Furthermore, it is necessary 
to set the value of Merging:nRecluster to one. 
 
 

     This sample also provides some "explicit phase space subtractions" of 
NL3, which are necessary because we implemented the 
"inclusive scheme" of Lon13. Let us again look at the example of 
UNLOPS merging of W + 0 jet and W + 1 jet at NLO accuracy. 
The integrated  W + 1 jet NLO events, which are produced by the setting 
Merging:doUNLOPSSubtNLO = on, contain a tree-level part. This 
part will exactly cancel the real-emission events with one jet above the 
merging scale in the  W + 0 jet NLO events. 
 

     
The NLO merging weight of these "integrated" events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doUNLOPSSubtNLO = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in Lon13). 
 

     After these five steps (estimation of cross sections, tree-level 
processing, POWHEG processing, integrated tree-level processing, 
integrated POWHEG processing) we have produced a UNLOPS-merged HepMC 
event file. main88.cc finishes by returning the 
UNLOPS-merged total cross section. 
 
 


     

    NLO merging and "exclusive" NLO inputs
     
 
Currently, both sample main programs for NLO merging (main87.cc 
and main88.cc) are intended for "inclusive" POWHEG input. 
Inclusive input means that all real emission phase space points are included 
in the POWHEG output files. In order to avoid double counting with 
higher-multiplicity matrix elements, it is then necessary remove phase space 
points with too many jets from the real-emission configurations. 
This can be done by introducing explicit phase space subtractions. Another 
way of removing the undesired configurations is by implementing a cut in the 
NLO generator. This is not a completely trivial task, since it is necessary 
to ensure numerical stability and the correct cancellation of (finite) dipole 
regularisation terms. One way of producing such exclusive NLO output is by 
setting the (tree-level) real-emission matrix element in the NLO generator to 
zero if the real-emission phase space point contains too many jets above the 
merging scale. This will however not be numerically stable for too low merging 
scale values. 
 

     We should be very clear that using exclusive NLO input is not 
recommended, since it requires hacking the NLO generator.  Only for the expert 
user, we briefly summarise the necessary changes for using exclusive 
NLO input. 
 

     For the moment, assume that the NLO input has been produced in an 
"exclusive" way. This input can then be processed by some trivial changes in 
main87.cc: estimate the cross section for tree-level and NLO 
samples after the merging scale cut, still using inclusive NLO 
samples, remove the last part of main87.cc, i.e. the part that 
produces explicit phase space subtractions, and use the exclusive NLO files as 
input files for the processing of "POWHEG NLO files". 
 

     The changes to main88.cc (implementing UNLOPS) are slightly 
more complicated. This is the case because the weights of integrated 
tree-level samples change when using exclusive input, as can be seen in 
Appendix D in Lon13. The correct weights can be produced by Pythia 
by using the following flag. 
 
 
This flag allows the UNLOPS machinery to produce the event weights if 
exclusive NLO input is used for the merging. This flag should be set to "on" 
directly after the cross section estimates have been produced. 
 
 

     Then, it is necessary to add code for processing another sample to 
main88.cc, since when using exclusive inputs, it is also 
necessary to enforce two integrations on tree-level events (the 
"↑"-contributions in Appendix D of Lon13). This can be 
achieved by adding the following code at the end of main88.cc. 

     

     
  cout << endl << endl << endl; 
  cout << "Shower subtractive events" << endl; 
 
  // Switch on processing of counter-events. 
  pythia.settings.flag("Merging:doUNLOPSTree",false); 
  pythia.settings.flag("Merging:doUNLOPSLoop",false); 
  pythia.settings.flag("Merging:doUNLOPSSubt",true); 
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",false); 
  pythia.settings.mode("Merging:nRecluster",2); 
 
  nMaxCT         = nMaxNLO+1; 
  njetcounterCT  = nMaxCT; 
  iPathSubt      = iPath + "_tree"; 
 
  while(njetcounterCT >= 2){ 
 
    // From njet, choose LHE file 
    stringstream in; 
    in   << "_" << njetcounterCT << ".lhe"; 
    string LHEfile = iPathSubt + in.str(); 
 
    cout << endl << endl << endl 
         << "Start subtractive treatment for " << njetcounterCT << " jets\n" 
         << "Recluster at least 2 times" << endl; 
 
    pythia.readString("Beams:frameType = 4"); 
    pythia.settings.word("Beams:LHEF", LHEfile); 
    pythia.settings.mode("Merging:nRequested", njetcounterCT); 
    pythia.init(); 
    // Remember position in vector of cross section estimates. 
    int iNow = sizeLO-1-njetcounterCT; 
 
    // Start generation loop 
    for( int iEvent=0; iEvent < nEvent; ++iEvent ){ 
 
      // Generate next event 
      if( !pythia.next() ) { 
        if( pythia.info.atEndOfFile() ) break; 
        else continue; 
      } 
 
      // Get event weight(s). 
      double weightNLO  = pythia.info.mergingWeightNLO(); 
      double evtweight  = pythia.info.weight(); 
      weightNLO        *= evtweight; 
      // Do not print zero-weight events. 
      if ( weightNLO == 0. ) continue; 
 
      // Construct new empty HepMC event. 
      HepMC::GenEvent* hepmcevt = new HepMC::GenEvent(); 
      // Get correct cross section from previous estimate. 
      double normhepmc = -1*xsecLO[iNow] / nAcceptLO[iNow]; 
      // Set hepmc event weight. 
      hepmcevt->weights().push_back(weightNLO*normhepmc); 
      // Fill HepMC event. 
      ToHepMC.fill_next_event( pythia, hepmcevt ); 
      // Add the weight of the current event to the cross section. 
      sigmaTotal += weightNLO*normhepmc; 
      errorTotal += pow2(weightNLO*normhepmc); 
      // Report cross section to hepmc. 
      HepMC::GenCrossSection xsec; 
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 ); 
      hepmcevt->set_cross_section( xsec ); 
      // Write the HepMC event to file. Done with it. 
      ascii_io << hepmcevt; 
      delete hepmcevt; 
 
    } // end loop over events to generate 
 
    // print cross section, errors 
    pythia.stat(); 
 
    // Restart with ME of a reduced the number of jets 
    if( njetcounterCT > 2 ) 
      njetcounterCT--; 
    else 
      break; 
 
  } 

     



    

    Further variables
    

More advanced manipulations of the merging machinery are of
course possible, and additional switches can be found at
the end of the CKKW-L
tree-level merging documentation. Here, we only document
switches that only apply to NLO merging. 


If switched on, this will allow to keep states with incomplete parton
shower histories (i.e. states that cannot be projected onto an allowed
underlying Born process) in the real contributions of an NLO input sample. By
default, such configurations will instead be included through
higher-multiplicity tree-level matrix elements. However, NLO input samples
can contain a significant number of such configurations if Diagram Subtraction
(DS) techniques had been applied. In order not to change the DS scheme, it
is important not to remove incomplete histories from the real-emission
contribution. Note that furthermore, if this switch turned on, you will
have to ensure yourself that no double-counting between states with incomplete
histories will occur between NLO samples and higher-multiplicity tree-level
samples. This might for example entail using the MergingHooks 
facilities, and the function 
double MergingHooks::dampenIfFailCuts(const Event& event)" in
particular.

 
     
 
 
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pythia8-8.1.86.orig/xmldoc/MatchingAndMerging.xml0000444000175000017500000001627512357055022020047 0ustar  sunsun 
 

    Matching and Merging
     
 
Starting from a Born-level leading-order (LO) process, higher orders 
can be included in various ways. The three basic approaches would be 

       

    • A formal order-by-order perturbative calculation, in each order 
higher including graphs both with one particle more in the final 
state and with one loop more in the intermediate state. This is 
accurate to the order of the calculation, but gives no hint of 
event structures beyond that, with more particles in the final state. 
Today next-to-leading order (NLO) is standard, while 
next-to-next-to-leading order (NNLO) is coming. This approach 
thus is limited to few orders, and also breaks down in soft and 
collinear regions, which makes it unsuitable for matching to 
hadronization. 

      •  

    • Real emissions to several higher orders, but neglecting the 
virtual/loop corrections that should go with it at any given order. 
Thereby it is possible to allow for topologies with a large and 
varying number of partons, at the prize of not being accurate to any 
particular order. The approach also opens up for doublecounting, 
and as above breaks down in soft and colliner regions. 

      •  

    • The parton shower provides an approximation to higher orders, 
both real and virtual contributions for the emission of arbitrarily 
many particles. As such it is less accurate than either of the two 
above, at least for topologies of well separated partons, but it 
contains a physically sensible behaviour in the soft and collinear 
limits, and therefore matches well onto the hadronization stage. 

      •  

     
Given the pros and cons, much of the effort in recent years has 
involved the development of different prescriptions to combine 
the methods above in various ways. 
 

     
The common traits of all combination methods are that matrix elements 
are used to describe the production of hard and well separated 
particles, and parton showers for the production of soft or collinear 
particles. What differs between the various approaches that have been 
proposed are which matrix elements are being used, how doublecounting 
is avoided, and how the transition from the hard to the soft regime 
is handled. These combination methods are typically referred to as 
"matching" or "merging" algorithms. There is some confusion about 
the distinction between the two terms, and so we leave it to the 
inventor/implementor of a particular scheme to choose and motivate 
the name given to that scheme. 
 

     
PYTHIA comes with methods, to be described next, that implement 
or support several different kind of algorithms. The field is 
open-ended, however: any external program can feed in 
Les Houches events that 
PYTHIA subsequently showers, adds multiparton interactions to, 
and hadronizes. These events afterwards can be reweighted and 
combined in any desired way. The maximum pT of the shower 
evolution is set by the Les Houches scale, on the one 
hand, and by the values of the SpaceShower:pTmaxMatch, 
TimeShower:pTmaxMatch and other parton-shower settings, 
on the other. Typically it is not possible to achieve perfect 
matching this way, given that the PYTHIA pT evolution 
variables are not likely to agree with the variables used for cuts 
in the external program. Often one can get close enough with simple 
means but, for an improved matching, 
User Hooks can be inserted to control 
the steps taken on the way, e.g. to veto those parton shower branchings 
that would doublecount emissions included in the matrix elements. 
 

     
Zooming in from the "anything goes" perspective, the list of relevent 
approaches actively supported is as follows. 

       
 

    • For many/most resonance decays the first branching in the shower is 
merged with first-order matrix elements Ben87, Nor01. This 
means that the emission rate is accurate to NLO, similarly to the POWHEG 
strategy (see below), but built into the 
timelike showers. 
The angular orientation of the event after the first emission is only 
handled by the parton shower kinematics, however. Needless to say, 
this formalism is precisely what is tested by Z^0 decays at 
LEP1, and it is known to do a pretty good job there. 

      •  
 

    • Also the spacelike showers 
contain a correction to first-order matrix elements, but only for the 
one-body-final-state processes 
q qbar → gamma^*/Z^0/W^+-/h^0/H^0/A0/Z'0/W'+-/R0 
Miu99 and g g → h^0/H^0/A0, and only to 
leading order. That is, it is equivalent to the POWHEG formalism for 
the real emission, but the prefactor "cross section normalization" 
is LO rather than NLO. Therefore this framework is less relevant, 
and has been superseded the following ones. 

      •  
 

    • The POWHEG strategy Nas04 provides a cross section 
accurate to NLO. The hardest emission is constructed with unit 
probability, based on the ratio of the real-emission matrix element 
to the Born-level cross section, and with a Sudakov factor derived 
from this ratio, i.e. the philosophy introduced in Ben87. 

      While POWHEG is a generic strategy, the POWHEG BOX 
Ali10 is an explicit framework, within which several 
processes are available. The code required for merging the PYTHIA 
showers with POWHEG input can be found in examples/main31,
and is further described on a 
separate page. 

      •  
 

    • The other traditional approach for NLO calculations is the 
MC@NLO one Fri02. In it the shower emission probability, 
without its Sudakov factor, is subtracted from the real-emission 
matrix element to regularize divergences. It therefore requires a 
analytic knowledge of the way the shower populates phase space. 
Currently there is no MC@NLO implementation for PYTHIA 8, but one is 
in preparation by Paolo Torrielli and Stefano Frixione, for the 
aMC@NLO program Fre11. The global-recoil option of the 
PYTHIA final-state shower has been constructed in anticipation of 
its use for the above-mentioned subtraction. 

      •  
 

    • Multi-jet merging in the CKKW-L approach Lon01 
is directly available. Its implementation, relevant parameters 
and test programs are documented on a 
separate page. 

      •  
 

    • Multi-jet matching in the MLM approach Man02, Man07 
is also available, either based on the ALPGEN or on the Madgraph 
variant, and with input events either from ALPGEN or from 
Madgraph. For details see 
separate page. 

      •  
 

    • Unitarised matrix element + parton shower merging (UMEPS) 
is directly available. Its implementation, relevant parameters 
and test programs are documented on a 
separate page. 

      •  
 

    • Next-to-leading order multi-jet merging (in the NL3 and UNLOPS approaches) 
is directly available. Its implementation, relevant parameters 
and test programs are documented on a 
separate page. 

      •  
 

     
 
 
     
 
 
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  0.0000000E+00  2.1209516E+02  2.6024461E+02  2.8697398E+02  6.3237368E+02  6.3310195E+02  7.2808863E+03  6.3310189E+02  6.3237364E+02  2.8697398E+02  2.6024461E+02  2.1209516E+02  0.0000000E+00  2.8905355E+01
  1.7572155E-06  2.2629958E+02  2.7410402E+02  3.0069861E+02  6.4380356E+02  6.4455771E+02  7.6970594E+03  6.4455765E+02  6.4380353E+02  3.0069861E+02  2.7410403E+02  2.2629958E+02  1.7572155E-06  2.9892245E+01
  2.6984689E+00  2.4081990E+02  2.8818713E+02  3.1465928E+02  6.5545830E+02  6.5626615E+02  8.1433382E+03  6.5626609E+02  6.5545826E+02  3.1465928E+02  2.8818713E+02  2.4081990E+02  2.6984689E+00  3.0881401E+01
  1.8231271E+01  2.5567010E+02  3.0253874E+02  3.2888762E+02  6.6758669E+02  6.6841487E+02  8.5709759E+03  6.6841481E+02  6.6758665E+02  3.2888762E+02  3.0253874E+02  2.5567010E+02  1.8231271E+01  3.1872051E+01
  3.4915830E+01  2.7086009E+02  3.1723786E+02  3.4364704E+02  6.8013212E+02  6.8098546E+02  9.0136310E+03  6.8098540E+02  6.8013209E+02  3.4364704E+02  3.1723787E+02  2.7086009E+02  3.4915830E+01  3.2867202E+01
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  1.0343991E+02  2.9442589E+02  3.3161319E+02  3.5438349E+02  6.3730478E+02  6.3819148E+02  9.6206357E+03  6.3819141E+02  6.3730474E+02  3.5438349E+02  3.3161320E+02  2.9442589E+02  1.0343991E+02  3.1183601E+01
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  1.3513450E+02  3.2401051E+02  3.6077205E+02  3.8336404E+02  6.6236551E+02  6.6329752E+02  1.0542791E+04  6.6329745E+02  6.6236547E+02  3.8336404E+02  3.6077206E+02  3.2401051E+02  1.3513450E+02  3.2889720E+01
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  2.5717670E+02  4.3782156E+02  4.7324660E+02  4.9528172E+02  7.6245212E+02  7.6351611E+02  1.4187820E+04  7.6351604E+02  7.6245208E+02  4.9528172E+02  4.7324661E+02  4.3782156E+02  2.5717670E+02  3.8990991E+01
  2.7593051E+02  4.5540614E+02  4.9065718E+02  5.1262026E+02  7.7825778E+02  7.7934352E+02  1.4761189E+04  7.7934345E+02  7.7825774E+02  5.1262026E+02  4.9065719E+02  4.5540614E+02  2.7593052E+02  3.9879676E+01
  2.9501781E+02  4.7332561E+02  5.0840639E+02  5.3029916E+02  7.9440802E+02  7.9551548E+02  1.5347585E+04  7.9551541E+02  7.9440798E+02  5.3029916E+02  5.0840640E+02  4.7332562E+02  2.9501781E+02  4.0772769E+01
  3.1443934E+02  4.9168938E+02  5.2696561E+02  5.4831886E+02  8.1090261E+02  8.1203175E+02  1.5946948E+04  8.1203168E+02  8.1090257E+02  5.4831887E+02  5.2696562E+02  4.9168938E+02  3.1443934E+02  4.1670317E+01
  3.3419579E+02  5.1077311E+02  5.4591214E+02  5.6667982E+02  8.2825163E+02  8.2938612E+02  1.6559217E+04  8.2938629E+02  8.2825184E+02  5.6667982E+02  5.4591215E+02  5.1077311E+02  3.3419579E+02  4.2572367E+01
  3.5428778E+02  5.3020474E+02  5.6520911E+02  5.8569856E+02  8.4596617E+02  8.4712200E+02  1.7184320E+04  8.4712217E+02  8.4596639E+02  5.8569856E+02  5.6520912E+02  5.3020474E+02  3.5428778E+02  4.3478971E+01
  3.7471546E+02  5.4998405E+02  5.8485610E+02  6.0529564E+02  8.6404016E+02  8.6521728E+02  1.7822193E+04  8.6521746E+02  8.6404038E+02  6.0529564E+02  5.8485610E+02  5.4998405E+02  3.7471546E+02  4.4390177E+01
  0.0000000E+00  2.4000000E-09  6.7833793E-06  2.2037098E+01  3.8073436E+02  3.8073436E+02  2.0118701E+02  3.8073432E+02  3.8073433E+02  2.2037096E+01  6.7833843E-06  1.9000000E-09  0.0000000E+00  3.3173281E+00
  0.0000000E+00  3.5000018E-09  3.1919501E+00  2.8021244E+01  3.7851020E+02  3.7854008E+02  3.4632703E+02  3.7854004E+02  3.7851016E+02  2.8021242E+01  3.1919509E+00  3.3000403E-09  0.0000000E+00  3.9655570E+00
  0.0000000E+00  3.6000413E-09  7.4674272E+00  3.4173645E+01  3.7760497E+02  3.7766381E+02  5.1647004E+02  3.7766376E+02  3.7760493E+02  3.4173644E+01  7.4674279E+00  4.0000009E-09  0.0000000E+00  4.6115679E+00
  0.0000000E+00  4.3000019E-09  1.3924963E+01  4.0373507E+01  3.7751163E+02  3.7759870E+02  6.8421124E+02  3.7759864E+02  3.7751159E+02  4.0373507E+01  1.3924964E+01  3.2000202E-09  0.0000000E+00  5.2596759E+00
  0.0000000E+00  3.5000412E-09  2.0442257E+01  4.6628771E+01  3.7808031E+02  3.7819491E+02  8.4910591E+02  3.7819486E+02  3.7808026E+02  4.6628770E+01  2.0442259E+01  2.9000397E-09  0.0000000E+00  5.9098964E+00
  0.0000000E+00  4.1000011E-09  2.7022234E+01  5.3011298E+01  3.7918406E+02  3.7932574E+02  1.0116924E+03  3.7932568E+02  3.7918402E+02  5.3011297E+01  2.7022236E+01  3.1000013E-09  0.0000000E+00  6.5622444E+00
  0.0000000E+00  4.7560825E-07  3.3677599E+01  5.9450324E+01  3.8088767E+02  3.8105573E+02  1.1727277E+03  3.8105568E+02  3.8088763E+02  5.9450323E+01  3.3677601E+01  4.7560826E-07  0.0000000E+00  7.2167352E+00
  0.0000000E+00  3.8457513E-01  4.0289878E+01  6.5807754E+01  3.8287145E+02  3.8306426E+02  1.3438839E+03  3.8306420E+02  3.8287140E+02  6.5807753E+01  4.0289881E+01  3.8457514E-01  0.0000000E+00  7.8733152E+00
  0.0000000E+00  6.5970506E+00  4.6893197E+01  7.2039782E+01  3.8532610E+02  3.8554459E+02  1.4955700E+03  3.8554453E+02  3.8532606E+02  7.2039781E+01  4.6893200E+01  6.5970507E+00  0.0000000E+00  8.5319727E+00
  0.0000000E+00  1.3839972E+01  5.3616101E+01  7.8405822E+01  3.8813039E+02  3.8837378E+02  1.6509654E+03  3.8837372E+02  3.8813035E+02  7.8405822E+01  5.3616104E+01  1.3839973E+01  0.0000000E+00  9.1929277E+00
  0.0000000E+00  2.1216371E+01  6.0466510E+01  8.4911556E+01  3.9128388E+02  3.9155229E+02  1.8116764E+03  3.9155223E+02  3.9128383E+02  8.4911556E+01  6.0466513E+01  2.1216371E+01  0.0000000E+00  9.8561977E+00
  0.0000000E+00  2.8697797E+01  6.7453157E+01  9.1563779E+01  3.9476190E+02  3.9505499E+02  1.9781875E+03  3.9505492E+02  3.9476186E+02  9.1563779E+01  6.7453160E+01  2.8697798E+01  0.0000000E+00  1.0521801E+01
  0.0000000E+00  3.6294327E+01  7.4583913E+01  9.8370654E+01  3.9853373E+02  3.9885132E+02  2.1519475E+03  3.9885126E+02  3.9853369E+02  9.8370654E+01  7.4583917E+01  3.6294328E+01  0.0000000E+00  1.1189755E+01
  0.0000000E+00  4.4038496E+01  8.1867224E+01  1.0536624E+02  4.0258357E+02  4.0292513E+02  2.3325200E+03  4.0292506E+02  4.0258352E+02  1.0536624E+02  8.1867227E+01  4.4038497E+01  0.0000000E+00  1.1860077E+01
  0.0000000E+00  5.1943606E+01  8.9310739E+01  1.1253062E+02  4.0695214E+02  4.0731777E+02  2.5202985E+03  4.0731771E+02  4.0695210E+02  1.1253062E+02  8.9310743E+01  5.1943607E+01  0.0000000E+00  1.2532787E+01
  0.0000000E+00  6.0005284E+01  9.6957523E+01  1.1989997E+02  4.1161284E+02  4.1200199E+02  2.7167611E+03  4.1200192E+02  4.1161280E+02  1.1989997E+02  9.6957528E+01  6.0005285E+01  0.0000000E+00  1.3207903E+01
  0.0000000E+00  6.8232710E+01  1.0492548E+02  1.2748975E+02  4.1658937E+02  4.1700218E+02  2.9211552E+03  4.1700211E+02  4.1658933E+02  1.2748975E+02  1.0492548E+02  6.8232711E+01  0.0000000E+00  1.3885442E+01
  0.0000000E+00  7.6634700E+01  1.1312265E+02  1.3527770E+02  4.2183631E+02  4.2227264E+02  3.1366585E+03  4.2227258E+02  4.2183627E+02  1.3527770E+02  1.1312265E+02  7.6634701E+01  0.0000000E+00  1.4565426E+01
  0.0000000E+00  8.5219258E+01  1.2153888E+02  1.4326959E+02  4.2735083E+02  4.2781051E+02  3.3616562E+03  4.2781045E+02  4.2735079E+02  1.4326959E+02  1.2153888E+02  8.5219260E+01  0.0000000E+00  1.5247873E+01
  0.0000000E+00  9.3993786E+01  1.3017917E+02  1.5147091E+02  4.3313069E+02  4.3361358E+02  3.5960266E+03  4.3361351E+02  4.3313065E+02  1.5147091E+02  1.3017917E+02  9.3993788E+01  0.0000000E+00  1.5932802E+01
  0.0000000E+00  1.0296535E+02  1.3904752E+02  1.5996400E+02  4.3917827E+02  4.3968353E+02  3.8400367E+03  4.3968346E+02  4.3917822E+02  1.5996400E+02  1.3904752E+02  1.0296535E+02  0.0000000E+00  1.6620233E+01
  0.0000000E+00  1.1214027E+02  1.4814835E+02  1.6891153E+02  4.4560566E+02  4.4613253E+02  4.0939137E+03  4.4613245E+02  4.4560562E+02  1.6891153E+02  1.4814835E+02  1.1214028E+02  0.0000000E+00  1.7310187E+01
  0.0000000E+00  1.2167830E+02  1.5748572E+02  1.7814958E+02  4.5230000E+02  4.5284960E+02  4.3578525E+03  4.5284953E+02  4.5229995E+02  1.7814958E+02  1.5748572E+02  1.2167831E+02  0.0000000E+00  1.8002682E+01
  0.0000000E+00  1.3162043E+02  1.6706303E+02  1.8774402E+02  4.5931556E+02  4.5988443E+02  4.6320270E+03  4.5988435E+02  4.5931552E+02  1.8774402E+02  1.6706304E+02  1.3162044E+02  0.0000000E+00  1.8697745E+01
  0.0000000E+00  1.4181104E+02  1.7695099E+02  1.9759865E+02  4.6678645E+02  4.6737505E+02  4.9213665E+03  4.6737497E+02  4.6678641E+02  1.9759865E+02  1.7695100E+02  1.4181104E+02  0.0000000E+00  1.9395387E+01
  0.0000000E+00  1.5225390E+02  1.8716322E+02  2.0771657E+02  4.7454612E+02  4.7515691E+02  5.2232880E+03  4.7515684E+02  4.7454608E+02  2.0771657E+02  1.8716323E+02  1.5225390E+02  0.0000000E+00  2.0095632E+01
  1.1624648E-06  1.6295241E+02  1.9763861E+02  2.1810049E+02  4.8266675E+02  4.8329568E+02  5.5363654E+03  4.8329561E+02  4.8266671E+02  2.1810050E+02  1.9763862E+02  1.6295242E+02  1.1624648E-06  2.0798504E+01
  1.7813356E+00  1.7385165E+02  2.0831851E+02  2.2869558E+02  4.9100282E+02  4.9167206E+02  5.8685500E+03  4.9167199E+02  4.9100278E+02  2.2869558E+02  2.0831852E+02  1.7385166E+02  1.7813356E+00  2.1503006E+01
  1.3206260E+01  1.8496925E+02  2.1922820E+02  2.3952072E+02  4.9964004E+02  5.0033090E+02  6.1850826E+03  5.0033083E+02  4.9964000E+02  2.3952072E+02  2.1922821E+02  1.8496925E+02  1.3206260E+01  2.2208607E+01
  2.5571501E+01  1.9636007E+02  2.3041677E+02  2.5062701E+02  5.0856245E+02  5.0927491E+02  6.5130382E+03  5.0927484E+02  5.0856241E+02  2.5062701E+02  2.3041677E+02  1.9636007E+02  2.5571501E+01  2.2917403E+01
  3.8187153E+01  2.0802743E+02  2.4188729E+02  2.6201740E+02  5.1777138E+02  5.1850535E+02  6.8524778E+03  5.1850527E+02  5.1777134E+02  2.6201740E+02  2.4188730E+02  2.0802744E+02  3.8187153E+01  2.3629425E+01
  5.1057477E+01  2.1997453E+02  2.5364271E+02  2.7369467E+02  5.2726798E+02  5.2802342E+02  7.2034478E+03  5.2802334E+02  5.2726794E+02  2.7369467E+02  2.5364272E+02  2.1997453E+02  5.1057477E+01  2.4344705E+01
  6.4186298E+01  2.3220382E+02  2.6568518E+02  2.8566103E+02  5.3705337E+02  5.3783021E+02  7.5659867E+03  5.3783014E+02  5.3705333E+02  2.8566103E+02  2.6568519E+02  2.3220382E+02  6.4186298E+01  2.5063276E+01
  7.7577302E+01  2.4471793E+02  2.7801718E+02  2.9791880E+02  5.4712840E+02  5.4792661E+02  7.9401169E+03  5.4792653E+02  5.4712836E+02  2.9791880E+02  2.7801719E+02  2.4471793E+02  7.7577302E+01  2.5785173E+01
  9.1233745E+01  2.5751915E+02  2.9064078E+02  3.1046989E+02  5.5749387E+02  5.5831339E+02  8.3258515E+03  5.5831331E+02  5.5749383E+02  3.1046990E+02  2.9064079E+02  2.5751915E+02  9.1233745E+01  2.6510426E+01
  1.0515862E+02  2.7060953E+02  3.0355779E+02  3.2331620E+02  5.6815041E+02  5.6899120E+02  8.7231938E+03  5.6899112E+02  5.6815037E+02  3.2331620E+02  3.0355780E+02  2.7060954E+02  1.0515862E+02  2.7239076E+01
  1.1935467E+02  2.8399088E+02  3.1676987E+02  3.3645927E+02  5.7921064E+02  5.8005978E+02  9.1321383E+03  5.8005970E+02  5.7921060E+02  3.3645927E+02  3.1676988E+02  2.8399088E+02  1.1935467E+02  2.7971163E+01
  1.3382441E+02  2.9766498E+02  3.3027861E+02  3.4990058E+02  5.9067658E+02  5.9154662E+02  9.5526688E+03  5.9154654E+02  5.9067654E+02  3.4990058E+02  3.3027861E+02  2.9766498E+02  1.3382441E+02  2.8706713E+01
  1.4856993E+02  3.1163299E+02  3.4408502E+02  3.6364113E+02  6.0244182E+02  6.0333270E+02  9.9847674E+03  6.0333262E+02  6.0244178E+02  3.6364113E+02  3.4408503E+02  3.1163299E+02  1.4856993E+02  2.9445762E+01
  1.6359325E+02  3.2589626E+02  3.5819030E+02  3.7768203E+02  6.1450648E+02  6.1541817E+02  1.0428404E+04  6.1541809E+02  6.1450644E+02  3.7768203E+02  3.5819031E+02  3.2589626E+02  1.6359325E+02  3.0188345E+01
  1.7889616E+02  3.4045589E+02  3.7259541E+02  3.9202424E+02  6.2687064E+02  6.2780311E+02  1.0887694E+04  6.2780303E+02  6.2687060E+02  3.9202424E+02  3.7259542E+02  3.4045589E+02  1.7889616E+02  3.0934499E+01
  1.9448024E+02  3.5531277E+02  3.8730110E+02  4.0666840E+02  6.3957928E+02  6.4052556E+02  1.1371241E+04  6.4052547E+02  6.3957924E+02  4.0666840E+02  3.8730111E+02  3.5531277E+02  1.9448024E+02  3.1684263E+01
  2.1034685E+02  3.7046769E+02  4.0230804E+02  4.2161516E+02  6.5266868E+02  6.5363553E+02  1.1866282E+04  6.5363545E+02  6.5266864E+02  4.2161516E+02  4.0230805E+02  3.7046770E+02  2.1034685E+02  3.2437675E+01
  2.2649715E+02  3.8592120E+02  4.1761667E+02  4.3686491E+02  6.6606041E+02  6.6704782E+02  1.2372768E+04  6.6704774E+02  6.6606038E+02  4.3686491E+02  4.1761668E+02  3.8592120E+02  2.2649715E+02  3.3194773E+01
  2.4293229E+02  4.0167392E+02  4.3322746E+02  4.5241812E+02  6.7975410E+02  6.8076204E+02  1.2890650E+04  6.8076196E+02  6.7975407E+02  4.5241813E+02  4.3322747E+02  4.0167393E+02  2.4293229E+02  3.3955596E+01
  2.5965291E+02  4.1772592E+02  4.4914040E+02  4.6827469E+02  6.9374948E+02  6.9477794E+02  1.3419858E+04  6.9477785E+02  6.9374944E+02  4.6827470E+02  4.4914041E+02  4.1772592E+02  2.5965291E+02  3.4720186E+01
  2.7665982E+02  4.3407754E+02  4.6535572E+02  4.8443479E+02  7.0847987E+02  7.0951332E+02  1.3960334E+04  7.0951352E+02  7.0848012E+02  4.8443480E+02  4.6535573E+02  4.3407755E+02  2.7665982E+02  3.5488583E+01
  2.9395356E+02  4.5072887E+02  4.8187339E+02  5.0089846E+02  7.2355090E+02  7.2460452E+02  1.4512014E+04  7.2460472E+02  7.2355115E+02  5.0089846E+02  4.8187340E+02  4.5072887E+02  2.9395356E+02  3.6260827E+01
  3.1153454E+02  4.6767986E+02  4.9869329E+02  5.1766547E+02  7.3893590E+02  7.4000968E+02  1.5074827E+04  7.4000988E+02  7.3893616E+02  5.1766547E+02  4.9869330E+02  4.6767986E+02  3.1153454E+02  3.7036964E+01
  3.2940311E+02  4.8493041E+02  5.1581525E+02  5.3473561E+02  7.5463419E+02  7.5572811E+02  1.5648701E+04  7.5572832E+02  7.5463445E+02  5.3473562E+02  5.1581526E+02  4.8493041E+02  3.2940311E+02  3.7817031E+01
  0.0000000E+00  2.4000000E-09  5.1880082E-06  2.0000477E+01  3.3773198E+02  3.3773198E+02  1.7914144E+02  3.3773193E+02  3.3773194E+02  2.0000474E+01  5.1880125E-06  2.4000000E-09  0.0000000E+00  2.6563461E+00
  0.0000000E+00  3.8000207E-09  2.2284551E+00  2.5104658E+01  3.3340053E+02  3.3342743E+02  2.9933331E+02  3.3342738E+02  3.3340049E+02  2.5104657E+01  2.2284559E+00  3.8000016E-09  0.0000000E+00  3.1665922E+00
  0.0000000E+00  4.0000016E-09  6.2689550E+00  3.0364431E+01  3.3208544E+02  3.3213843E+02  4.4187694E+02  3.3213837E+02  3.3208539E+02  3.0364430E+01  6.2689560E+00  3.5000404E-09  0.0000000E+00  3.7036145E+00
  0.0000000E+00  2.7000203E-09  1.2058440E+01  3.5654307E+01  3.3150148E+02  3.3157996E+02  5.8044149E+02  3.3157990E+02  3.3150143E+02  3.5654306E+01  1.2058442E+01  4.5000203E-09  0.0000000E+00  4.2423770E+00
  0.0000000E+00  3.5000017E-09  1.7854528E+01  4.0985036E+01  3.3150294E+02  3.3160644E+02  7.1556510E+02  3.3160637E+02  3.3150289E+02  4.0985035E+01  1.7854530E+01  4.6000006E-09  0.0000000E+00  4.7828919E+00
  0.0000000E+00  4.3000015E-09  2.3664729E+01  4.6365815E+01  3.3198137E+02  3.3210939E+02  8.4806564E+02  3.3210933E+02  3.3198131E+02  4.6365815E+01  2.3664731E+01  3.4000207E-09  0.0000000E+00  5.3251723E+00
  0.0000000E+00  4.9126752E-07  2.9503710E+01  5.1852681E+01  3.3308935E+02  3.3324039E+02  9.7902188E+02  3.3324032E+02  3.3308930E+02  5.1852680E+01  2.9503712E+01  4.9126749E-07  0.0000000E+00  5.8692302E+00
  0.0000000E+00  3.9748570E-01  3.5264332E+01  5.7277212E+01  3.3443662E+02  3.3461123E+02  1.1178802E+03  3.3461116E+02  3.3443657E+02  5.7277212E+01  3.5264335E+01  3.9748572E-01  0.0000000E+00  6.4150227E+00
  0.0000000E+00  5.5006156E+00  4.0888896E+01  6.2597198E+01  3.3612958E+02  3.3632749E+02  1.2415715E+03  3.3632742E+02  3.3612952E+02  6.2597197E+01  4.0888899E+01  5.5006158E+00  0.0000000E+00  6.9625415E+00
  0.0000000E+00  1.1674876E+01  4.6628014E+01  6.8042299E+01  3.3814004E+02  3.3836072E+02  1.3685119E+03  3.3836064E+02  3.3813999E+02  6.8042299E+01  4.6628018E+01  1.1674876E+01  0.0000000E+00  7.5119667E+00
  0.0000000E+00  1.7972124E+01  5.2489029E+01  7.3618209E+01  3.4047280E+02  3.4071608E+02  1.5006466E+03  3.4071601E+02  3.4047276E+02  7.3618209E+01  5.2489033E+01  1.7972125E+01  0.0000000E+00  8.0633126E+00
  0.0000000E+00  2.4372724E+01  5.8479527E+01  7.9340827E+01  3.4309161E+02  3.4335748E+02  1.6383476E+03  3.4335740E+02  3.4309156E+02  7.9340827E+01  5.8479531E+01  2.4372725E+01  0.0000000E+00  8.6165941E+00
  0.0000000E+00  3.0901937E+01  6.4606047E+01  8.5221972E+01  3.4598785E+02  3.4627611E+02  1.7823183E+03  3.4627604E+02  3.4598780E+02  8.5221971E+01  6.4606052E+01  3.0901938E+01  0.0000000E+00  9.1718258E+00
  0.0000000E+00  3.7576460E+01  7.0876017E+01  9.1254055E+01  3.4913981E+02  3.4945029E+02  1.9327322E+03  3.4945022E+02  3.4913976E+02  9.1254055E+01  7.0876022E+01  3.7576461E+01  0.0000000E+00  9.7290228E+00
  0.0000000E+00  4.4390636E+01  7.7343348E+01  9.7490105E+01  3.5254091E+02  3.5287344E+02  2.0900121E+03  3.5287336E+02  3.5254085E+02  9.7490105E+01  7.7343355E+01  4.4390638E+01  0.0000000E+00  1.0288200E+01
  0.0000000E+00  5.1352884E+01  8.3977460E+01  1.0389908E+02  3.5622282E+02  3.5657693E+02  2.2540382E+03  3.5657685E+02  3.5622277E+02  1.0389908E+02  8.3977465E+01  5.1352885E+01  0.0000000E+00  1.0849373E+01
  0.0000000E+00  5.8470549E+01  9.0782587E+01  1.1048415E+02  3.6016932E+02  3.6054514E+02  2.4271588E+03  3.6054507E+02  3.6016927E+02  1.1048414E+02  9.0782593E+01  5.8470550E+01  0.0000000E+00  1.1412558E+01
  0.0000000E+00  6.5750899E+01  9.7764744E+01  1.1725069E+02  3.6435708E+02  3.6475451E+02  2.6088136E+03  3.6475444E+02  3.6435703E+02  1.1725069E+02  9.7764750E+01  6.5750901E+01  0.0000000E+00  1.1977770E+01
  0.0000000E+00  7.3200313E+01  1.0492909E+02  1.2420340E+02  3.6878359E+02  3.6920250E+02  2.7985574E+03  3.6920242E+02  3.6878354E+02  1.2420340E+02  1.0492910E+02  7.3200315E+01  0.0000000E+00  1.2545025E+01
  0.0000000E+00  8.0849435E+01  1.1228074E+02  1.3139221E+02  3.7344673E+02  3.7388699E+02  2.9966351E+03  3.7388691E+02  3.7344668E+02  1.3139221E+02  1.1228074E+02  8.0849438E+01  0.0000000E+00  1.3114339E+01
  0.0000000E+00  8.8735418E+01  1.1982439E+02  1.3889080E+02  3.7837738E+02  3.7883827E+02  3.2032558E+03  3.7883819E+02  3.7837733E+02  1.3889080E+02  1.1982439E+02  8.8735420E+01  0.0000000E+00  1.3685729E+01
  0.0000000E+00  9.6819098E+01  1.2760183E+02  1.4661773E+02  3.8358232E+02  3.8406304E+02  3.4186002E+03  3.8406296E+02  3.8358227E+02  1.4661773E+02  1.2760184E+02  9.6819100E+01  0.0000000E+00  1.4259211E+01
  0.0000000E+00  1.0510530E+02  1.3565010E+02  1.5456064E+02  3.8912209E+02  3.8962100E+02  3.6445971E+03  3.8962091E+02  3.8912204E+02  1.5456064E+02  1.3565011E+02  1.0510531E+02  0.0000000E+00  1.4834801E+01
  0.0000000E+00  1.1359834E+02  1.4391410E+02  1.6272300E+02  3.9502735E+02  3.9554465E+02  3.8894721E+03  3.9554457E+02  3.9502730E+02  1.6272300E+02  1.4391411E+02  1.1359835E+02  0.0000000E+00  1.5412522E+01
  0.0000000E+00  1.2230207E+02  1.5239704E+02  1.7110777E+02  4.0120720E+02  4.0174509E+02  4.1483294E+03  4.0174500E+02  4.0120716E+02  1.7110777E+02  1.5239705E+02  1.2230207E+02  0.0000000E+00  1.5992382E+01
  0.0000000E+00  1.3121988E+02  1.6110180E+02  1.7971762E+02  4.0772110E+02  4.0827608E+02  4.4169572E+03  4.0827600E+02  4.0772106E+02  1.7971762E+02  1.6110181E+02  1.3121988E+02  0.0000000E+00  1.6574401E+01
  9.4343644E-07  1.4035497E+02  1.7003110E+02  1.8855510E+02  4.1449297E+02  4.1506825E+02  4.6954108E+03  4.1506816E+02  4.1449292E+02  1.8855510E+02  1.7003111E+02  1.4035498E+02  9.4343644E-07  1.7158599E+01
  1.4440058E+00  1.4966129E+02  1.7913542E+02  1.9757378E+02  4.2143314E+02  4.2204335E+02  4.9909623E+03  4.2204326E+02  4.2143309E+02  1.9757378E+02  1.7913543E+02  1.4966129E+02  1.4440058E+00  1.7744153E+01
  1.1375897E+01  1.5915763E+02  1.8844067E+02  2.0679431E+02  4.2864042E+02  4.2927069E+02  5.2726008E+03  4.2927060E+02  4.2864037E+02  2.0679431E+02  1.8844068E+02  1.5915764E+02  1.1375897E+01  1.8330628E+01
  2.1992161E+01  1.6888666E+02  1.9798408E+02  2.1625539E+02  4.3609787E+02  4.3674818E+02  5.5641961E+03  4.3674809E+02  4.3609783E+02  2.1625539E+02  1.9798409E+02  1.6888666E+02  2.1992161E+01  1.8919752E+01
  3.2819208E+01  1.7885133E+02  2.0776836E+02  2.2595958E+02  4.4380620E+02  4.4447650E+02  5.8657852E+03  4.4447641E+02  4.4380616E+02  2.2595958E+02  2.0776837E+02  1.7885133E+02  3.2819208E+01  1.9511553E+01
  4.3860910E+01  1.8905429E+02  2.1779589E+02  2.3590917E+02  4.5176609E+02  4.5245633E+02  6.1773922E+03  4.5245624E+02  4.5176605E+02  2.3590917E+02  2.1779590E+02  1.8905429E+02  4.3860910E+01  2.0106058E+01
  5.5120782E+01  1.9949791E+02  2.2806880E+02  2.4610619E+02  4.5997805E+02  4.6068820E+02  6.4990306E+03  4.6068811E+02  4.5997800E+02  2.4610619E+02  2.2806882E+02  1.9949792E+02  5.5120782E+01  2.0703292E+01
  6.6601995E+01  2.1018430E+02  2.3858900E+02  2.5655248E+02  4.6844247E+02  4.6917251E+02  6.8307042E+03  4.6917242E+02  4.6844243E+02  2.5655248E+02  2.3858901E+02  2.1018431E+02  6.6601995E+01  2.1303284E+01
  7.8307507E+01  2.2111547E+02  2.4935826E+02  2.6724968E+02  4.7721240E+02  4.7795190E+02  7.1724117E+03  4.7795180E+02  4.7721236E+02  2.6724969E+02  2.4935827E+02  2.2111548E+02  7.8307508E+01  2.1906061E+01
  9.0239830E+01  2.3229293E+02  2.6037789E+02  2.7819910E+02  4.8637195E+02  4.8713101E+02  7.5241337E+03  4.8713092E+02  4.8637191E+02  2.7819910E+02  2.6037790E+02  2.3229293E+02  9.0239830E+01  2.2511653E+01
  1.0240134E+02  2.4371822E+02  2.7164928E+02  2.8940199E+02  4.9579044E+02  4.9656904E+02  7.8858533E+03  4.9656894E+02  4.9579040E+02  2.8940200E+02  2.7164929E+02  2.4371822E+02  1.0240134E+02  2.3120087E+01
  1.1479414E+02  2.5539264E+02  2.8317354E+02  3.0085943E+02  5.0546791E+02  5.0626601E+02  8.2575429E+03  5.0626591E+02  5.0546786E+02  3.0085943E+02  2.8317355E+02  2.5539264E+02  1.1479414E+02  2.3731391E+01
  1.2742008E+02  2.6731727E+02  2.9495161E+02  3.1257227E+02  5.1540422E+02  5.1622181E+02  8.6391696E+03  5.1622172E+02  5.1540418E+02  3.1257227E+02  2.9495162E+02  2.6731728E+02  1.2742008E+02  2.4345599E+01
  1.4028082E+02  2.7949306E+02  3.0698426E+02  3.2454122E+02  5.2559922E+02  5.2643628E+02  9.0306937E+03  5.2643619E+02  5.2559918E+02  3.2454123E+02  3.0698427E+02  2.7949307E+02  1.4028082E+02  2.4962737E+01
  1.5337783E+02  2.9192085E+02  3.1927220E+02  3.3676697E+02  5.3605257E+02  5.3690909E+02  9.4320742E+03  5.3690899E+02  5.3605252E+02  3.3676698E+02  3.1927221E+02  2.9192085E+02  1.5337783E+02  2.5582837E+01
  1.6671229E+02  3.0460112E+02  3.3181577E+02  3.4924978E+02  5.4684923E+02  5.4771891E+02  9.8432560E+03  5.4771882E+02  5.4684919E+02  3.4924978E+02  3.3181579E+02  3.0460112E+02  1.6671229E+02  2.6205932E+01
  1.8028529E+02  3.1753438E+02  3.4461540E+02  3.6199000E+02  5.5793008E+02  5.5881906E+02  1.0264188E+04  5.5881896E+02  5.5793003E+02  3.6199001E+02  3.4461541E+02  3.1753439E+02  1.8028529E+02  2.6832051E+01
  1.9409776E+02  3.3072102E+02  3.5767130E+02  3.7498785E+02  5.6927070E+02  5.7017897E+02  1.0694813E+04  5.7017887E+02  5.6927066E+02  3.7498785E+02  3.5767131E+02  3.3072103E+02  1.9409776E+02  2.7461227E+01
  2.0815043E+02  3.4416123E+02  3.7098357E+02  3.8824336E+02  5.8087047E+02  5.8179802E+02  1.1135070E+04  5.8179793E+02  5.8087045E+02  3.8824337E+02  3.7098358E+02  3.4416124E+02  2.0815043E+02  2.8093493E+01
  2.2244391E+02  3.5785511E+02  3.8455222E+02  4.0175649E+02  5.9311506E+02  5.9404716E+02  1.1584895E+04  5.9404739E+02  5.9311536E+02  4.0175649E+02  3.8455223E+02  3.5785511E+02  2.2244391E+02  2.8728882E+01
  2.3697864E+02  3.7180265E+02  3.9837712E+02  4.1552708E+02  6.0564666E+02  6.0659771E+02  1.2044219E+04  6.0659795E+02  6.0564695E+02  4.1552708E+02  3.9837713E+02  3.7180265E+02  2.3697865E+02  2.9367429E+01
  2.5175498E+02  3.8600373E+02  4.1245808E+02  4.2955488E+02  6.1844712E+02  6.1941712E+02  1.2512974E+04  6.1941736E+02  6.1844742E+02  4.2955488E+02  4.1245809E+02  3.8600373E+02  2.5175498E+02  3.0009165E+01
  2.6677319E+02  4.0045820E+02  4.2679484E+02  4.4383961E+02  6.3151547E+02  6.3250443E+02  1.2991089E+04  6.3250467E+02  6.3151577E+02  4.4383962E+02  4.2679485E+02  4.0045820E+02  2.6677319E+02  3.0654128E+01
  2.8203324E+02  4.1516563E+02  4.4138689E+02  4.5838074E+02  6.4485091E+02  6.4585880E+02  1.3478486E+04  6.4585904E+02  6.4485121E+02  4.5838074E+02  4.4138690E+02  4.1516564E+02  2.8203325E+02  3.1302352E+01
  0.0000000E+00  2.3000000E-09  4.3078014E-06  1.8153606E+01  2.9925880E+02  2.9925880E+02  1.5993874E+02  2.9925874E+02  2.9925875E+02  1.8153603E+01  4.3078051E-06  3.9000000E-09  0.0000000E+00  2.1239226E+00
  0.0000000E+00  3.1000009E-09  1.7398322E+00  2.2717531E+01  2.9705939E+02  2.9708397E+02  2.7834466E+02  2.9708390E+02  2.9705934E+02  2.2717529E+01  1.7398331E+00  4.6000007E-09  0.0000000E+00  2.5816884E+00
  0.0000000E+00  3.2000013E-09  5.3580822E+00  2.7277548E+01  2.9543665E+02  2.9548514E+02  3.8522100E+02  2.9548507E+02  2.9543659E+02  2.7277547E+01  5.3580834E+00  3.8000110E-09  0.0000000E+00  3.0323606E+00
  0.0000000E+00  4.3000205E-09  1.0402001E+01  3.1850446E+01  2.9447655E+02  2.9454843E+02  4.9786196E+02  2.9454836E+02  2.9447649E+02  3.1850445E+01  1.0402003E+01  4.0000302E-09  0.0000000E+00  3.4844903E+00
  0.0000000E+00  4.3000106E-09  1.5428728E+01  3.6445077E+01  2.9404284E+02  2.9413767E+02  6.1002405E+02  2.9413760E+02  2.9404278E+02  3.6445076E+01  1.5428731E+01  3.4000107E-09  0.0000000E+00  3.9380878E+00
  0.0000000E+00  4.2000006E-09  2.0450518E+01  4.1070711E+01  2.9417352E+02  2.9429025E+02  7.1961478E+02  2.9429018E+02  2.9417346E+02  4.1070711E+01  2.0450521E+01  3.5000108E-09  0.0000000E+00  4.3931638E+00
  0.0000000E+00  4.8715862E-07  2.5482459E+01  4.5737219E+01  2.9475528E+02  2.9489399E+02  8.2752713E+02  2.9489391E+02  2.9475523E+02  4.5737218E+01  2.5482463E+01  4.8715863E-07  0.0000000E+00  4.8497284E+00
  0.0000000E+00  3.9426225E-01  3.0432130E+01  5.0340510E+01  2.9555686E+02  2.9571740E+02  9.4214020E+02  2.9571732E+02  2.9555680E+02  5.0340510E+01  3.0432134E+01  3.9426226E-01  0.0000000E+00  5.3077467E+00
  0.0000000E+00  4.8723988E+00  3.5254070E+01  5.4875035E+01  2.9668749E+02  2.9686954E+02  1.0488602E+03  2.9686946E+02  2.9668743E+02  5.4875035E+01  3.5254075E+01  4.8723991E+00  0.0000000E+00  5.7672120E+00
  0.0000000E+00  1.0185420E+01  4.0168623E+01  5.9513098E+01  2.9811370E+02  2.9831682E+02  1.1596472E+03  2.9831674E+02  2.9811364E+02  5.9513098E+01  4.0168629E+01  1.0185420E+01  0.0000000E+00  6.2282741E+00
  0.0000000E+00  1.5591653E+01  4.5183710E+01  6.4276255E+01  2.9982427E+02  3.0004855E+02  1.2758710E+03  3.0004846E+02  2.9982421E+02  6.4276255E+01  4.5183716E+01  1.5591654E+01  0.0000000E+00  6.6909448E+00
  0.0000000E+00  2.1087270E+01  5.0306803E+01  6.9162028E+01  3.0178445E+02  3.0202973E+02  1.3975582E+03  3.0202964E+02  3.0178440E+02  6.9162029E+01  5.0306808E+01  2.1087271E+01  0.0000000E+00  7.1552368E+00
  0.0000000E+00  2.6703872E+01  5.5552214E+01  7.4183284E+01  3.0400162E+02  3.0426768E+02  1.5256556E+03  3.0426759E+02  3.0400156E+02  7.4183284E+01  5.5552220E+01  2.6703873E+01  0.0000000E+00  7.6211618E+00
  0.0000000E+00  3.2431649E+01  6.0954969E+01  7.9365323E+01  3.0645327E+02  3.0674000E+02  1.6596464E+03  3.0673991E+02  3.0645321E+02  7.9365324E+01  6.0954976E+01  3.2431650E+01  0.0000000E+00  8.0887330E+00
  0.0000000E+00  3.8279206E+01  6.6494831E+01  8.4691110E+01  3.0913177E+02  3.0943902E+02  1.7996256E+03  3.0943893E+02  3.0913171E+02  8.4691110E+01  6.6494838E+01  3.8279208E+01  0.0000000E+00  8.5579631E+00
  0.0000000E+00  4.4254438E+01  7.2178043E+01  9.0187153E+01  3.1208180E+02  3.1240916E+02  1.9470228E+03  3.1240907E+02  3.1208175E+02  9.0187154E+01  7.2178050E+01  4.4254440E+01  0.0000000E+00  9.0288642E+00
  0.0000000E+00  5.0364688E+01  7.8010573E+01  9.5863593E+01  3.1525846E+02  3.1560607E+02  2.1025345E+03  3.1560598E+02  3.1525840E+02  9.5863594E+01  7.8010580E+01  5.0364690E+01  0.0000000E+00  9.5014497E+00
  0.0000000E+00  5.6651766E+01  8.3997858E+01  1.0170959E+02  3.1865457E+02  3.1902234E+02  2.2652350E+03  3.1902225E+02  3.1865452E+02  1.0170959E+02  8.3997866E+01  5.6651768E+01  0.0000000E+00  9.9757334E+00
  0.0000000E+00  6.3115672E+01  9.0147911E+01  1.0772981E+02  3.2226742E+02  3.2265524E+02  2.4353478E+03  3.2265515E+02  3.2226737E+02  1.0772981E+02  9.0147919E+01  6.3115675E+01  0.0000000E+00  1.0451728E+01
  0.0000000E+00  6.9743637E+01  9.6537675E+01  1.1392854E+02  3.2611708E+02  3.2652430E+02  2.6130649E+03  3.2652421E+02  3.2611703E+02  1.1392854E+02  9.6537684E+01  6.9743640E+01  0.0000000E+00  1.0929447E+01
  0.0000000E+00  7.6540778E+01  1.0310665E+02  1.2038624E+02  3.3019033E+02  3.3061738E+02  2.7985468E+03  3.3061729E+02  3.3019027E+02  1.2038624E+02  1.0310666E+02  7.6540781E+01  0.0000000E+00  1.1408904E+01
  0.0000000E+00  8.3511808E+01  1.0985880E+02  1.2703371E+02  3.3453941E+02  3.3498262E+02  2.9952892E+03  3.3498253E+02  3.3453935E+02  1.2703371E+02  1.0985881E+02  8.3511810E+01  0.0000000E+00  1.1890113E+01
  0.0000000E+00  9.0660952E+01  1.1679769E+02  1.3387181E+02  3.3925435E+02  3.3971489E+02  3.2014961E+03  3.3971479E+02  3.3925430E+02  1.3387181E+02  1.1679770E+02  9.0660955E+01  0.0000000E+00  1.2373088E+01
  0.0000000E+00  9.7992026E+01  1.2392656E+02  1.4090356E+02  3.4423510E+02  3.4471221E+02  3.4162418E+03  3.4471212E+02  3.4423505E+02  1.4090356E+02  1.2392657E+02  9.7992029E+01  0.0000000E+00  1.2857846E+01
  0.0000000E+00  1.0550834E+02  1.3124815E+02  1.4813141E+02  3.4951891E+02  3.5001511E+02  3.6395898E+03  3.5001501E+02  3.4951886E+02  1.4813141E+02  1.3124816E+02  1.0550834E+02  0.0000000E+00  1.3344395E+01
  0.0000000E+00  1.1321298E+02  1.3876505E+02  1.5555778E+02  3.5502681E+02  3.5554213E+02  3.8715896E+03  3.5554202E+02  3.5502676E+02  1.5555778E+02  1.3876506E+02  1.1321298E+02  0.0000000E+00  1.3832753E+01
  7.8976026E-07  1.2110863E+02  1.4647953E+02  1.6318473E+02  3.6075793E+02  3.6129228E+02  4.1122736E+03  3.6129218E+02  3.6075788E+02  1.6318473E+02  1.4647954E+02  1.2110863E+02  7.8976027E-07  1.4322934E+01
  1.2072638E+00  1.2915621E+02  1.5434940E+02  1.7097257E+02  3.6664273E+02  3.6720792E+02  4.3678394E+03  3.6720782E+02  3.6664268E+02  1.7097257E+02  1.5434941E+02  1.2915621E+02  1.2072638E+00  1.4814253E+01
  9.8397625E+00  1.3737339E+02  1.6239861E+02  1.7894108E+02  3.7276789E+02  3.7335195E+02  4.6114422E+03  3.7335185E+02  3.7276784E+02  1.7894108E+02  1.6239862E+02  1.3737340E+02  9.8397626E+00  1.5306349E+01
  1.9042786E+01  1.4579456E+02  1.7065676E+02  1.8712083E+02  3.7911565E+02  3.7971853E+02  4.8638001E+03  3.7971843E+02  3.7911560E+02  1.8712083E+02  1.7065677E+02  1.4579456E+02  1.9042787E+01  1.5800663E+01
  2.8429808E+01  1.5442209E+02  1.7912597E+02  1.9551383E+02  3.8568630E+02  3.8630798E+02  5.1249273E+03  3.8630788E+02  3.8568625E+02  1.9551384E+02  1.7912598E+02  1.5442209E+02  2.8429809E+01  1.6297219E+01
  3.8004093E+01  1.6325815E+02  1.8780818E+02  2.0412193E+02  3.9248003E+02  3.9312049E+02  5.3948294E+03  3.9312038E+02  3.9248000E+02  2.0412193E+02  1.8780819E+02  1.6325815E+02  3.8004094E+01  1.6796038E+01
  4.7768565E+01  1.7230458E+02  1.9670501E+02  2.1294664E+02  3.9949707E+02  4.0015626E+02  5.6735006E+03  4.0015616E+02  3.9949703E+02  2.1294664E+02  1.9670502E+02  1.7230459E+02  4.7768565E+01  1.7297144E+01
  5.7725872E+01  1.8156310E+02  2.0581796E+02  2.2198937E+02  4.0688010E+02  4.0754933E+02  5.9609292E+03  4.0754923E+02  4.0688005E+02  2.2198938E+02  2.0581798E+02  1.8156310E+02  5.7725873E+01  1.7800559E+01
  6.7878384E+01  1.9103515E+02  2.1514831E+02  2.3125133E+02  4.1450902E+02  4.1519673E+02  6.2570953E+03  4.1519663E+02  4.1450899E+02  2.3125134E+02  2.1514832E+02  1.9103515E+02  6.7878385E+01  1.8306307E+01
  7.8228208E+01  2.0072201E+02  2.2469712E+02  2.4073350E+02  4.2236606E+02  4.2307223E+02  6.5619721E+03  4.2307213E+02  4.2236602E+02  2.4073350E+02  2.2469714E+02  2.0072201E+02  7.8228209E+01  1.8814410E+01
  8.8777223E+01  2.1062475E+02  2.3446535E+02  2.5043675E+02  4.3045102E+02  4.3117563E+02  6.8755270E+03  4.3117552E+02  4.3045097E+02  2.5043675E+02  2.3446536E+02  2.1062476E+02  8.8777223E+01  1.9324894E+01
  9.9527075E+01  2.2074432E+02  2.4445373E+02  2.6036177E+02  4.3876350E+02  4.3950654E+02  7.1977228E+03  4.3950644E+02  4.3876346E+02  2.6036177E+02  2.4445374E+02  2.2074433E+02  9.9527075E+01  1.9837783E+01
  1.1047919E+02  2.3108142E+02  2.5466286E+02  2.7050907E+02  4.4730324E+02  4.4806470E+02  7.5285142E+03  4.4806459E+02  4.4730319E+02  2.7050908E+02  2.5466287E+02  2.3108142E+02  1.1047919E+02  2.0353101E+01
  1.2163483E+02  2.4163665E+02  2.6509319E+02  2.8087906E+02  4.5606967E+02  4.5684954E+02  7.8678537E+03  4.5684943E+02  4.5606963E+02  2.8087906E+02  2.6509321E+02  2.4163666E+02  1.2163483E+02  2.0870874E+01
  1.3299504E+02  2.5241050E+02  2.7574507E+02  2.9147202E+02  4.6507458E+02  4.6586723E+02  8.2156891E+03  4.6586712E+02  4.6507454E+02  2.9147202E+02  2.7574508E+02  2.5241050E+02  1.3299504E+02  2.1391126E+01
  1.4456074E+02  2.6340326E+02  2.8661869E+02  3.0228810E+02  4.7439049E+02  4.7520141E+02  8.5719649E+03  4.7520130E+02  4.7439045E+02  3.0228810E+02  2.8661871E+02  2.6340327E+02  1.4456074E+02  2.1913886E+01
  1.5633264E+02  2.7461513E+02  2.9771412E+02  3.1332731E+02  4.8393355E+02  4.8476274E+02  8.9366211E+03  4.8476263E+02  4.8393351E+02  3.1332732E+02  2.9771414E+02  2.7461514E+02  1.5633264E+02  2.2439179E+01
  1.6831134E+02  2.8604621E+02  3.0903137E+02  3.2458961E+02  4.9370306E+02  4.9455051E+02  9.3095960E+03  4.9455040E+02  4.9370302E+02  3.2458961E+02  3.0903138E+02  2.8604621E+02  1.6831134E+02  2.2967029E+01
  1.8049733E+02  2.9769648E+02  3.2057029E+02  3.3607481E+02  5.0398079E+02  5.0483240E+02  9.6908248E+03  5.0483267E+02  5.0398113E+02  3.3607482E+02  3.2057030E+02  2.9769649E+02  1.8049733E+02  2.3497467E+01
  1.9289088E+02  3.0956578E+02  3.3233065E+02  3.4778266E+02  5.1456851E+02  5.1543807E+02  1.0080239E+04  5.1543835E+02  5.1456886E+02  3.4778266E+02  3.3233067E+02  3.0956579E+02  1.9289088E+02  2.4030521E+01
  2.0549222E+02  3.2165390E+02  3.4431214E+02  3.5971277E+02  5.2539028E+02  5.2627779E+02  1.0477769E+04  5.2627807E+02  5.2539064E+02  3.5971277E+02  3.4431215E+02  3.2165391E+02  2.0549222E+02  2.4566216E+01
  2.1830144E+02  3.3396054E+02  3.5651437E+02  3.7186473E+02  5.3644516E+02  5.3735062E+02  1.0883343E+04  5.3735090E+02  5.3644551E+02  3.7186474E+02  3.5651439E+02  3.3396054E+02  2.1830144E+02  2.5104584E+01
  2.3131854E+02  3.4648528E+02  3.6893685E+02  3.8423803E+02  5.4773206E+02  5.4865548E+02  1.1296889E+04  5.4865576E+02  5.4773242E+02  3.8423803E+02  3.6893686E+02  3.4648528E+02  2.3131854E+02  2.5645652E+01
  2.4454341E+02  3.5922767E+02  3.8157906E+02  3.9683208E+02  5.5924996E+02  5.6019134E+02  1.1718332E+04  5.6019162E+02  5.5925032E+02  3.9683209E+02  3.8157907E+02  3.5922768E+02  2.4454341E+02  2.6189449E+01
  0.0000000E+00  2.1000000E-09  3.7343673E-06  1.6487500E+01  2.6465441E+02  2.6465441E+02  1.4247368E+02  2.6465433E+02  2.6465435E+02  1.6487496E+01  3.7343709E-06  2.9000000E-09  0.0000000E+00  1.6960278E+00
  0.0000000E+00  3.1000053E-09  1.4429140E+00  2.0297255E+01  2.6203857E+02  2.6206113E+02  2.5936078E+02  2.6206105E+02  2.6203850E+02  2.0297253E+01  1.4429149E+00  4.0000101E-09  0.0000000E+00  2.0674397E+00
  0.0000000E+00  4.2000101E-09  4.5594789E+00  2.4104189E+01  2.6013865E+02  2.6018322E+02  3.5806429E+02  2.6018313E+02  2.6013858E+02  2.4104187E+01  4.5594810E+00  4.9000004E-09  0.0000000E+00  2.4366674E+00
  0.0000000E+00  3.3000013E-09  8.7931934E+00  2.7917244E+01  2.5886265E+02  2.5892849E+02  4.5419228E+02  2.5892840E+02  2.5886258E+02  2.7917243E+01  8.7931960E+00  4.3000009E-09  0.0000000E+00  2.8070864E+00
  0.0000000E+00  3.6000154E-09  1.3008380E+01  3.1744484E+01  2.5815695E+02  2.5824390E+02  5.4802287E+02  2.5824381E+02  2.5815688E+02  3.1744483E+01  1.3008383E+01  4.1000009E-09  0.0000000E+00  3.1787051E+00
  0.0000000E+00  3.8000056E-09  1.7212720E+01  3.5595039E+01  2.5785801E+02  2.5796571E+02  6.4010413E+02  2.5796562E+02  2.5785794E+02  3.5595039E+01  1.7212724E+01  3.6000053E-09  0.0000000E+00  3.5515321E+00
  0.0000000E+00  5.1831690E-07  2.1421022E+01  3.9478680E+01  2.5794394E+02  2.5807200E+02  7.3118797E+02  2.5807191E+02  2.5794387E+02  3.9478680E+01  2.1421027E+01  5.1831693E-07  0.0000000E+00  3.9255760E+00
  0.0000000E+00  4.1995273E-01  2.5555070E+01  4.3305902E+01  2.5825639E+02  2.5840462E+02  8.2865151E+02  2.5840452E+02  2.5825632E+02  4.3305902E+01  2.5555075E+01  4.1995274E-01  0.0000000E+00  4.3008083E+00
  0.0000000E+00  4.1218119E+00  2.9578163E+01  4.7055895E+01  2.5887666E+02  2.5904491E+02  9.1623504E+02  2.5904482E+02  2.5887659E+02  4.7055895E+01  2.9578168E+01  4.1218122E+00  0.0000000E+00  4.6772244E+00
  0.0000000E+00  8.5699922E+00  3.3681617E+01  5.0916049E+01  2.5977705E+02  2.5996494E+02  1.0078661E+03  2.5996485E+02  2.5977698E+02  5.0916049E+01  3.3681623E+01  8.5699930E+00  0.0000000E+00  5.0549455E+00
  0.0000000E+00  1.3094904E+01  3.7872944E+01  5.4883183E+01  2.6092443E+02  2.6113203E+02  1.1037813E+03  2.6113193E+02  2.6092436E+02  5.4883183E+01  3.7872951E+01  1.3094905E+01  0.0000000E+00  5.4339815E+00
  0.0000000E+00  1.7716306E+01  4.2173323E+01  5.8986912E+01  2.6229991E+02  2.6252704E+02  1.2056341E+03  2.6252694E+02  2.6229985E+02  5.8986912E+01  4.2173331E+01  1.7716307E+01  0.0000000E+00  5.8143427E+00
  0.0000000E+00  2.2433070E+01  4.6597145E+01  6.3221746E+01  2.6390711E+02  2.6415360E+02  1.3121838E+03  2.6415350E+02  2.6390704E+02  6.3221746E+01  4.6597153E+01  2.2433072E+01  0.0000000E+00  6.1960387E+00
  0.0000000E+00  2.7248950E+01  5.1136636E+01  6.7588171E+01  2.6573272E+02  2.6599848E+02  1.4237638E+03  2.6599838E+02  2.6573266E+02  6.7588171E+01  5.1136644E+01  2.7248952E+01  0.0000000E+00  6.5790804E+00
  0.0000000E+00  3.2171759E+01  5.5798020E+01  7.2091654E+01  2.6777477E+02  2.6805942E+02  1.5412160E+03  2.6805931E+02  2.6777471E+02  7.2091654E+01  5.5798028E+01  3.2171761E+01  0.0000000E+00  6.9634778E+00
  0.0000000E+00  3.7248623E+01  6.0588622E+01  7.6737207E+01  2.7006030E+02  2.7036396E+02  1.6660557E+03  2.7036386E+02  2.7006023E+02  7.6737207E+01  6.0588631E+01  3.7248625E+01  0.0000000E+00  7.3492418E+00
  0.0000000E+00  4.2456612E+01  6.5564133E+01  8.1529564E+01  2.7254851E+02  2.7287108E+02  1.7971232E+03  2.7287098E+02  2.7254845E+02  8.1529565E+01  6.5564143E+01  4.2456615E+01  0.0000000E+00  7.7363841E+00
  0.0000000E+00  4.7800205E+01  7.0686351E+01  8.6473051E+01  2.7523616E+02  2.7557757E+02  1.9346413E+03  2.7557746E+02  2.7523610E+02  8.6473052E+01  7.0686361E+01  4.7800208E+01  0.0000000E+00  8.1249140E+00
  0.0000000E+00  5.3284825E+01  7.5959766E+01  9.1571631E+01  2.7813840E+02  2.7849806E+02  2.0787975E+03  2.7849796E+02  2.7813833E+02  9.1571631E+01  7.5959777E+01  5.3284827E+01  0.0000000E+00  8.5148423E+00
  0.0000000E+00  5.8915339E+01  8.1388434E+01  9.6840583E+01  2.8124558E+02  2.8162387E+02  2.2306746E+03  2.8162376E+02  2.8124552E+02  9.6840583E+01  8.1388444E+01  5.8915342E+01  0.0000000E+00  8.9061801E+00
  0.0000000E+00  6.4696093E+01  8.6975982E+01  1.0232719E+02  2.8460606E+02  2.8500099E+02  2.3923418E+03  2.8500089E+02  2.8460601E+02  1.0232719E+02  8.6975993E+01  6.4696096E+01  0.0000000E+00  9.2989386E+00
  0.0000000E+00  7.0631039E+01  9.2725712E+01  1.0797992E+02  2.8823302E+02  2.8864424E+02  2.5614134E+03  2.8864413E+02  2.8823297E+02  1.0797993E+02  9.2725723E+01  7.0631043E+01  0.0000000E+00  9.6931285E+00
  0.0000000E+00  7.6723671E+01  9.8640528E+01  1.1380143E+02  2.9215640E+02  2.9258211E+02  2.7379663E+03  2.9258199E+02  2.9215634E+02  1.1380143E+02  9.8640539E+01  7.6723674E+01  0.0000000E+00  1.0088761E+01
  0.0000000E+00  8.2977138E+01  1.0472307E+02  1.1979411E+02  2.9634657E+02  2.9679030E+02  2.9220588E+03  2.9679018E+02  2.9634652E+02  1.1979412E+02  1.0472308E+02  8.2977141E+01  0.0000000E+00  1.0485851E+01
  0.0000000E+00  8.9394040E+01  1.1097547E+02  1.2595983E+02  3.0073767E+02  3.0119934E+02  3.1137253E+03  3.0119923E+02  3.0073762E+02  1.2595983E+02  1.1097548E+02  8.9394044E+01  0.0000000E+00  1.0884405E+01
  0.0000000E+00  9.5976873E+01  1.1739978E+02  1.3230048E+02  3.0532889E+02  3.0580847E+02  3.3129902E+03  3.0580835E+02  3.0532884E+02  1.3230048E+02  1.1739979E+02  9.5976877E+01  0.0000000E+00  1.1284437E+01
  6.3389850E-07  1.0272768E+02  1.2399769E+02  1.3881755E+02  3.1011899E+02  3.1061642E+02  3.5198610E+03  3.1061631E+02  3.1011894E+02  1.3881755E+02  1.2399771E+02  1.0272769E+02  6.3389851E-07  1.1685960E+01
  9.6699855E-01  1.0961403E+02  1.3073413E+02  1.4547776E+02  3.1504861E+02  3.1557316E+02  3.7396574E+03  3.1557304E+02  3.1504856E+02  1.4547777E+02  1.3073414E+02  1.0961403E+02  9.6699857E-01  1.2088413E+01
  8.3806174E+00  1.1665146E+02  1.3762994E+02  1.5229902E+02  3.2019352E+02  3.2073577E+02  3.9492473E+03  3.2073565E+02  3.2019347E+02  1.5229903E+02  1.3762995E+02  1.1665146E+02  8.3806175E+00  1.2491502E+01
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  2.4303070E+01  1.3126299E+02  1.5197072E+02  1.6649707E+02  3.3107359E+02  3.3165116E+02  4.3912450E+03  3.3165104E+02  3.3107355E+02  1.6649707E+02  1.5197073E+02  1.3126300E+02  2.4303070E+01  1.3303140E+01
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  1.6541123E+02  2.6446544E+02  2.8354419E+02  2.9720843E+02  4.4121552E+02  4.4202676E+02  8.6530488E+03  4.4202709E+02  4.4121593E+02  2.9720843E+02  2.8354420E+02  2.6446545E+02  1.6541123E+02  1.9637066E+01
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  1.8721480E+02  2.8540897E+02  3.0431091E+02  3.1788165E+02  4.5991667E+02  4.6076173E+02  9.3419449E+03  4.6076206E+02  4.5991709E+02  3.1788166E+02  3.0431092E+02  2.8540898E+02  1.8721480E+02  2.0516691E+01
  1.9838209E+02  2.9615955E+02  3.1497584E+02  3.2850133E+02  4.6956577E+02  4.7042773E+02  9.6964487E+03  4.7042806E+02  4.6956619E+02  3.2850134E+02  3.1497586E+02  2.9615955E+02  1.9838209E+02  2.0959803E+01
  2.0972603E+02  3.0709521E+02  3.2582761E+02  3.3930882E+02  4.7941239E+02  4.8029128E+02  1.0057560E+04  4.8029162E+02  4.7941282E+02  3.3930882E+02  3.2582763E+02  3.0709522E+02  2.0972603E+02  2.1405144E+01
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  0.0000000E+00  3.5000003E-09  1.2697604E+00  1.8055320E+01  2.3031358E+02  2.3033453E+02  2.3036327E+02  2.3033443E+02  2.3031350E+02  1.8055316E+01  1.2697614E+00  3.6000007E-09  0.0000000E+00  1.6521486E+00
  0.0000000E+00  3.7000120E-09  3.9115351E+00  2.1180164E+01  2.2820482E+02  2.2824609E+02  3.1428661E+02  2.2824599E+02  2.2820474E+02  2.1180161E+01  3.9115378E+00  3.7000114E-09  0.0000000E+00  1.9506187E+00
  0.0000000E+00  3.8000009E-09  7.4105232E+00  2.4311054E+01  2.2671117E+02  2.2677249E+02  3.9404455E+02  2.2677239E+02  2.2671109E+02  2.4311052E+01  7.4105266E+00  3.4000008E-09  0.0000000E+00  2.2500492E+00
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  0.0000000E+00  5.4507378E+01  7.3136877E+01  8.6677746E+01  2.4422749E+02  2.4459522E+02  2.0207577E+03  2.4459510E+02  2.4422743E+02  8.6677747E+01  7.3136890E+01  5.4507382E+01  0.0000000E+00  7.4973587E+00
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  0.0000000E+00  7.5597500E+01  9.3647771E+01  1.0685570E+02  2.5763685E+02  2.5806913E+02  2.6424318E+03  2.5806900E+02  2.5763680E+02  1.0685571E+02  9.3647785E+01  7.5597506E+01  0.0000000E+00  8.7787561E+00
  0.0000000E+00  8.1232300E+01  9.9151198E+01  1.1228330E+02  2.6146497E+02  2.6191404E+02  2.8144802E+03  2.6191390E+02  2.6146491E+02  1.1228330E+02  9.9151213E+01  8.1232305E+01  0.0000000E+00  9.1020600E+00
  4.9940083E-07  8.7015382E+01  1.0480757E+02  1.1786644E+02  2.6547065E+02  2.6593644E+02  2.9931718E+03  2.6593630E+02  2.6547059E+02  1.1786644E+02  1.0480759E+02  8.7015387E+01  4.9940084E-07  9.4265650E+00
  7.5966665E-01  9.2919976E+01  1.1058798E+02  1.2357742E+02  2.6960304E+02  2.7009275E+02  3.1831306E+03  2.7009262E+02  2.6960299E+02  1.2357742E+02  1.1058799E+02  9.2919980E+01  7.5966666E-01  9.7518199E+00
  7.1338151E+00  9.8959333E+01  1.1651003E+02  1.2943193E+02  2.7392876E+02  2.7443508E+02  3.3643206E+03  2.7443494E+02  2.7392871E+02  1.2943193E+02  1.1651005E+02  9.8959338E+01  7.1338151E+00  1.0077587E+01
  1.3886933E+01  1.0515484E+02  1.2259178E+02  1.3544810E+02  2.7846577E+02  2.7898318E+02  3.5520952E+03  2.7898305E+02  2.7846572E+02  1.3544810E+02  1.2259179E+02  1.0515485E+02  1.3886933E+01  1.0404816E+01
  2.0781268E+01  1.1150777E+02  1.2883429E+02  1.4162691E+02  2.8325573E+02  2.8378954E+02  3.7464338E+03  2.8378940E+02  2.8325568E+02  1.4162692E+02  1.2883431E+02  1.1150778E+02  2.0781269E+01  1.0733523E+01
  2.7818693E+01  1.1801917E+02  1.3523844E+02  1.4796917E+02  2.8822249E+02  2.8877266E+02  3.9473088E+03  2.8877252E+02  2.8822244E+02  1.4796917E+02  1.3523846E+02  1.1801917E+02  2.7818694E+01  1.1063721E+01
  3.5000895E+01  1.2468998E+02  1.4180503E+02  1.5447555E+02  2.9336553E+02  2.9393206E+02  4.1546896E+03  2.9393192E+02  2.9336549E+02  1.5447555E+02  1.4180504E+02  1.2468998E+02  3.5000895E+01  1.1395427E+01
  4.2329308E+01  1.3152090E+02  1.4853460E+02  1.6114656E+02  2.9868421E+02  2.9926707E+02  4.3685378E+03  2.9926693E+02  2.9868416E+02  1.6114656E+02  1.4853462E+02  1.3152091E+02  4.2329308E+01  1.1728653E+01
  4.9805168E+01  1.3851252E+02  1.5542761E+02  1.6798255E+02  3.0417784E+02  3.0477701E+02  4.5888111E+03  3.0477687E+02  3.0417779E+02  1.6798256E+02  1.5542763E+02  1.3851253E+02  4.9805169E+01  1.2063417E+01
  5.7429524E+01  1.4566528E+02  1.6248435E+02  1.7498376E+02  3.1020518E+02  3.1053519E+02  4.8154633E+03  3.1053505E+02  3.1020514E+02  1.7498376E+02  1.6248437E+02  1.4566528E+02  5.7429524E+01  1.2399733E+01
  6.5203267E+01  1.5297947E+02  1.6970502E+02  1.8215032E+02  3.1647269E+02  3.1681652E+02  5.0484446E+03  3.1681638E+02  3.1647264E+02  1.8215032E+02  1.6970504E+02  1.5297947E+02  6.5203267E+01  1.2737617E+01
  7.3127086E+01  1.6045525E+02  1.7708965E+02  1.8948221E+02  3.2290388E+02  3.2326163E+02  5.2877008E+03  3.2326149E+02  3.2290384E+02  1.8948221E+02  1.7708967E+02  1.6045526E+02  7.3127087E+01  1.3077086E+01
  8.1201606E+01  1.6809275E+02  1.8463827E+02  1.9697940E+02  3.2949871E+02  3.2987044E+02  5.5331780E+03  3.2987031E+02  3.2949867E+02  1.9697940E+02  1.8463829E+02  1.6809276E+02  8.1201607E+01  1.3418155E+01
  8.9427240E+01  1.7589190E+02  1.9235072E+02  2.0464166E+02  3.3625691E+02  3.3664271E+02  5.7848169E+03  3.3664257E+02  3.3625687E+02  2.0464166E+02  1.9235074E+02  1.7589191E+02  8.9427241E+01  1.3760842E+01
  9.7804305E+01  1.8385259E+02  2.0022677E+02  2.1246873E+02  3.4323724E+02  3.4363247E+02  6.0425569E+03  3.4363234E+02  3.4323721E+02  2.1246874E+02  2.0022679E+02  1.8385259E+02  9.7804306E+01  1.4105161E+01
  1.0633301E+02  1.9197458E+02  2.0826613E+02  2.2046027E+02  3.5039776E+02  3.5080709E+02  6.3063357E+03  3.5080695E+02  3.5039773E+02  2.2046027E+02  2.0826614E+02  1.9197459E+02  1.0633301E+02  1.4451133E+01
  1.1501341E+02  2.0025757E+02  2.1646838E+02  2.2861582E+02  3.5781164E+02  3.5822165E+02  6.5760892E+03  3.5822203E+02  3.5781212E+02  2.2861583E+02  2.1646840E+02  2.0025758E+02  1.1501341E+02  1.4798772E+01
  1.2384553E+02  2.0870118E+02  2.2483310E+02  2.3693491E+02  3.6558288E+02  3.6600676E+02  6.8517518E+03  3.6600714E+02  3.6558337E+02  2.3693491E+02  2.2483312E+02  2.0870118E+02  1.2384553E+02  1.5148097E+01
  1.3282922E+02  2.1730493E+02  2.3335972E+02  2.4541692E+02  3.7352394E+02  3.7396174E+02  7.1332559E+03  3.7396212E+02  3.7352443E+02  2.4541692E+02  2.3335974E+02  2.1730493E+02  1.3282923E+02  1.5499126E+01
  1.4196436E+02  2.2606836E+02  2.4204771E+02  2.5406131E+02  3.8163413E+02  3.8208592E+02  7.4205363E+03  3.8208630E+02  3.8163463E+02  2.5406132E+02  2.4204773E+02  2.2606837E+02  1.4196436E+02  1.5851877E+01
  1.5125065E+02  2.3499087E+02  2.5089641E+02  2.6286736E+02  3.8991264E+02  3.9037846E+02  7.7135232E+03  3.9037885E+02  3.8991314E+02  2.6286737E+02  2.5089643E+02  2.3499087E+02  1.5125065E+02  1.6206369E+01
  1.6068775E+02  2.4407182E+02  2.5990511E+02  2.7183436E+02  3.9835866E+02  3.9883856E+02  8.0121479E+03  3.9883896E+02  3.9835916E+02  2.7183437E+02  2.5990514E+02  2.4407183E+02  1.6068775E+02  1.6562619E+01
  1.7027526E+02  2.5331052E+02  2.6907309E+02  2.8096151E+02  4.0697126E+02  4.0746531E+02  8.3163408E+03  4.0746571E+02  4.0697177E+02  2.8096152E+02  2.6907311E+02  2.5331053E+02  1.7027526E+02  1.6920648E+01
  1.8001271E+02  2.6270626E+02  2.7839955E+02  2.9024802E+02  4.1574955E+02  4.1625779E+02  8.6260322E+03  4.1625819E+02  4.1575006E+02  2.9024803E+02  2.7839957E+02  2.6270627E+02  1.8001271E+02  1.7280475E+01
  0.0000000E+00  4.2000000E-09  3.0619113E-06  1.3486717E+01  2.0449026E+02  2.0449026E+02  1.1570094E+02  2.0449015E+02  2.0449017E+02  1.3486711E+01  3.0619148E-06  5.3000000E-09  0.0000000E+00  1.0782839E+00
  0.0000000E+00  4.5000005E-09  1.1460418E+00  1.6003472E+01  2.0143643E+02  2.0145612E+02  1.9875145E+02  2.0145601E+02  2.0143634E+02  1.6003468E+01  1.1460430E+00  5.7000004E-09  0.0000000E+00  1.3184071E+00
  0.0000000E+00  4.4000103E-09  3.3766155E+00  1.8546256E+01  1.9916581E+02  1.9920476E+02  2.6650386E+02  1.9920464E+02  1.9916571E+02  1.8546253E+01  3.3766186E+00  4.9000006E-09  0.0000000E+00  1.5585320E+00
  0.0000000E+00  4.9000005E-09  6.2538462E+00  2.1098744E+01  1.9740879E+02  1.9746668E+02  3.3022730E+02  1.9746656E+02  1.9740870E+02  2.1098742E+01  6.2538505E+00  4.5000006E-09  0.0000000E+00  1.7994265E+00
  0.0000000E+00  5.0000003E-09  9.1187016E+00  2.3667784E+01  1.9615855E+02  1.9620797E+02  3.9109746E+02  1.9620784E+02  1.9615845E+02  2.3667782E+01  9.1187070E+00  5.6000005E-09  0.0000000E+00  2.0410960E+00
  0.0000000E+00  5.4000103E-09  1.1984586E+01  2.6270384E+01  1.9549034E+02  1.9555346E+02  4.5019823E+02  1.9555334E+02  1.9549024E+02  2.6270382E+01  1.1984593E+01  5.3000100E-09  0.0000000E+00  2.2835458E+00
  0.0000000E+00  4.1713232E-07  1.4859005E+01  2.8910464E+01  1.9513411E+02  1.9521120E+02  5.0865594E+02  1.9521108E+02  1.9513402E+02  2.8910463E+01  1.4859012E+01  4.1713236E-07  0.0000000E+00  2.5267817E+00
  0.0000000E+00  3.3676910E-01  1.7692527E+01  3.1523442E+01  1.9495947E+02  1.9505072E+02  5.7219710E+02  1.9505059E+02  1.9495938E+02  3.1523440E+01  1.7692534E+01  3.3676913E-01  0.0000000E+00  2.7707851E+00
  0.0000000E+00  2.7868381E+00  2.0453740E+01  3.4097617E+01  1.9507431E+02  1.9517981E+02  6.3073414E+02  1.9517968E+02  1.9507422E+02  3.4097615E+01  2.0453748E+01  2.7868387E+00  0.0000000E+00  3.0155535E+00
  0.0000000E+00  5.8515780E+00  2.3308423E+01  3.6764367E+01  1.9541109E+02  1.9553118E+02  6.9317399E+02  1.9553105E+02  1.9541100E+02  3.6764365E+01  2.3308433E+01  5.8515792E+00  0.0000000E+00  3.2611649E+00
  0.0000000E+00  8.9969633E+00  2.6252779E+01  3.9528317E+01  1.9594713E+02  1.9608196E+02  7.5969762E+02  1.9608182E+02  1.9594705E+02  3.9528316E+01  2.6252789E+01  8.9969649E+00  0.0000000E+00  3.5076257E+00
  0.0000000E+00  1.2238447E+01  2.9290730E+01  4.2393901E+01  1.9667287E+02  1.9682253E+02  8.3003440E+02  1.9682240E+02  1.9667279E+02  4.2393900E+01  2.9290741E+01  1.2238449E+01  0.0000000E+00  3.7549425E+00
  0.0000000E+00  1.5573673E+01  3.2427815E+01  4.5365664E+01  1.9758834E+02  1.9775287E+02  9.0439353E+02  1.9775273E+02  1.9758826E+02  4.5365663E+01  3.2427827E+01  1.5573675E+01  0.0000000E+00  4.0031215E+00
  0.0000000E+00  1.9001472E+01  3.5668736E+01  4.8447462E+01  1.9868973E+02  1.9886927E+02  9.8420166E+02  1.9886913E+02  1.9868965E+02  4.8447462E+01  3.5668748E+01  1.9001474E+01  0.0000000E+00  4.2521697E+00
  0.0000000E+00  2.2527519E+01  3.9018144E+01  5.1643232E+01  1.9998937E+02  2.0018376E+02  1.0691877E+03  2.0018362E+02  1.9998929E+02  5.1643232E+01  3.9018157E+01  2.2527522E+01  0.0000000E+00  4.5020934E+00
  0.0000000E+00  2.6156757E+01  4.2479957E+01  5.4956254E+01  2.0147445E+02  2.0168394E+02  1.1591452E+03  2.0168381E+02  2.0147437E+02  5.4956254E+01  4.2479970E+01  2.6156761E+01  0.0000000E+00  4.7528993E+00
  0.0000000E+00  2.9893784E+01  4.6057963E+01  5.8389784E+01  2.0314397E+02  2.0336828E+02  1.2548206E+03  2.0336815E+02  2.0314389E+02  5.8389784E+01  4.6057977E+01  2.9893787E+01  0.0000000E+00  5.0045943E+00
  0.0000000E+00  3.3742509E+01  4.9755325E+01  6.1946483E+01  2.0498392E+02  2.0522181E+02  1.3577225E+03  2.0522167E+02  2.0498385E+02  6.1946484E+01  4.9755339E+01  3.3742513E+01  0.0000000E+00  5.2571855E+00
  0.0000000E+00  3.7706550E+01  5.3575041E+01  6.5628917E+01  2.0709334E+02  2.0734484E+02  1.4662817E+03  2.0734470E+02  2.0709327E+02  6.5628918E+01  5.3575056E+01  3.7706554E+01  0.0000000E+00  5.5106798E+00
  0.0000000E+00  4.1788993E+01  5.7519600E+01  6.9480649E+01  2.0939235E+02  2.0965727E+02  1.5805723E+03  2.0965712E+02  2.0939229E+02  6.9480650E+01  5.7519615E+01  4.1788998E+01  0.0000000E+00  5.7650841E+00
  0.0000000E+00  4.5992520E+01  6.1591196E+01  7.3469717E+01  2.1189799E+02  2.1217791E+02  1.7006462E+03  2.1217776E+02  2.1189793E+02  7.3469718E+01  6.1591211E+01  4.5992525E+01  0.0000000E+00  6.0204058E+00
  0.0000000E+00  5.0319559E+01  6.5791803E+01  7.7591154E+01  2.1456900E+02  2.1486394E+02  1.8265388E+03  2.1486380E+02  2.1456894E+02  7.7591155E+01  6.5791818E+01  5.0319564E+01  0.0000000E+00  6.2766517E+00
  0.0000000E+00  5.4772112E+01  7.0123032E+01  8.1846310E+01  2.1741234E+02  2.1772103E+02  1.9582667E+03  2.1772088E+02  2.1741228E+02  8.1846312E+01  7.0123049E+01  5.4772117E+01  0.0000000E+00  6.5338295E+00
  0.0000000E+00  5.9351939E+01  7.4586270E+01  8.6236400E+01  2.2045599E+02  2.2077966E+02  2.0958337E+03  2.2077952E+02  2.2045593E+02  8.6236401E+01  7.4586286E+01  5.9351944E+01  0.0000000E+00  6.7919480E+00
  0.0000000E+00  6.4060388E+01  7.9182535E+01  9.0762204E+01  2.2366097E+02  2.2399965E+02  2.2392268E+03  2.2399950E+02  2.2366091E+02  9.0762205E+01  7.9182552E+01  6.4060394E+01  0.0000000E+00  7.0510117E+00
  0.0000000E+00  6.8898765E+01  8.3912848E+01  9.5424590E+01  2.2702595E+02  2.2737963E+02  2.3884288E+03  2.2737948E+02  2.2702590E+02  9.5424592E+01  8.3912866E+01  6.8898770E+01  0.0000000E+00  7.3110296E+00
  3.8986081E-07  7.3867989E+01  8.8777874E+01  1.0022406E+02  2.3054940E+02  2.3091806E+02  2.5434091E+03  2.3091791E+02  2.3054934E+02  1.0022406E+02  8.8777892E+01  7.3867995E+01  3.8986082E-07  7.5720094E+00
  5.9096183E-01  7.8945981E+01  9.3753731E+01  1.0513751E+02  2.3419103E+02  2.3457641E+02  2.7082069E+03  2.3457626E+02  2.3419098E+02  1.0513751E+02  9.3753749E+01  7.8945988E+01  5.9096184E-01  7.8335887E+00
  6.0875740E+00  8.4143906E+01  9.8855196E+01  1.1017853E+02  2.3810003E+02  2.3849973E+02  2.8654053E+03  2.3849958E+02  2.3809998E+02  1.1017854E+02  9.8855215E+01  8.4143912E+01  6.0875741E+00  8.0955766E+00
  1.1887499E+01  8.9478461E+01  1.0409620E+02  1.1536092E+02  2.4216670E+02  2.4258123E+02  3.0282774E+03  2.4258107E+02  2.4216665E+02  1.1536092E+02  1.0409622E+02  8.9478467E+01  1.1887499E+01  8.3587366E+00
  1.7811304E+01  9.4950414E+01  1.0947737E+02  1.2068517E+02  2.4639037E+02  2.4681975E+02  3.1967908E+03  2.4681959E+02  2.4639032E+02  1.2068517E+02  1.0947739E+02  9.4950420E+01  1.7811304E+01  8.6230800E+00
  2.3860319E+01  1.0056043E+02  1.1499921E+02  1.2615174E+02  2.5077038E+02  2.5121463E+02  3.3709090E+03  2.5121448E+02  2.5077034E+02  1.2615174E+02  1.1499923E+02  1.0056043E+02  2.3860320E+01  8.8886192E+00
  3.0035685E+01  1.0630898E+02  1.2066207E+02  1.3176088E+02  2.5530603E+02  2.5576516E+02  3.5505910E+03  2.5576501E+02  2.5530599E+02  1.3176089E+02  1.2066209E+02  1.0630899E+02  3.0035685E+01  9.1553650E+00
  3.6338342E+01  1.1219643E+02  1.2646621E+02  1.3751278E+02  2.5999653E+02  2.6047055E+02  3.7357923E+03  2.6047040E+02  2.5999649E+02  1.3751279E+02  1.2646623E+02  1.1219644E+02  3.6338342E+01  9.4233303E+00
  4.2769075E+01  1.1822301E+02  1.3241171E+02  1.4340747E+02  2.6484106E+02  2.6532999E+02  3.9264634E+03  2.6532983E+02  2.6484102E+02  1.4340747E+02  1.3241173E+02  1.1822302E+02  4.2769076E+01  9.6925267E+00
  4.9328539E+01  1.2438887E+02  1.3849865E+02  1.4944493E+02  2.6983880E+02  2.7034264E+02  4.1225555E+03  2.7034249E+02  2.6983876E+02  1.4944493E+02  1.3849867E+02  1.2438887E+02  4.9328539E+01  9.9629670E+00
  5.6017220E+01  1.3069400E+02  1.4472691E+02  1.5562501E+02  2.7498884E+02  2.7550762E+02  4.3240138E+03  2.7550747E+02  2.7498880E+02  1.5562501E+02  1.4472693E+02  1.3069401E+02  5.6017221E+01  1.0234664E+01
  6.2835481E+01  1.3713832E+02  1.5109631E+02  1.6194747E+02  2.8029025E+02  2.8082398E+02  4.5307824E+03  2.8082382E+02  2.8029022E+02  1.6194747E+02  1.5109634E+02  1.3713833E+02  6.2835482E+01  1.0507629E+01
  6.9783564E+01  1.4372166E+02  1.5760660E+02  1.6841200E+02  2.8574207E+02  2.8629076E+02  4.7428031E+03  2.8629061E+02  2.8574204E+02  1.6841200E+02  1.5760662E+02  1.4372167E+02  6.9783564E+01  1.0781878E+01
  7.6861602E+01  1.5044374E+02  1.6425742E+02  1.7501820E+02  2.9134814E+02  2.9190758E+02  4.9600165E+03  2.9190743E+02  2.9134811E+02  1.7501820E+02  1.6425744E+02  1.5044375E+02  7.6861603E+01  1.1057421E+01
  8.4069611E+01  1.5730421E+02  1.7104833E+02  1.8176557E+02  2.9716402E+02  2.9773834E+02  5.1823603E+03  2.9773819E+02  2.9716399E+02  1.8176558E+02  1.7104836E+02  1.5730422E+02  8.4069612E+01  1.1334273E+01
  9.1407568E+01  1.6430272E+02  1.7797893E+02  1.8865367E+02  3.0312859E+02  3.0371781E+02  5.4097747E+03  3.0371766E+02  3.0312857E+02  1.8865368E+02  1.7797895E+02  1.6430273E+02  9.1407570E+01  1.1612448E+01
  9.8875312E+01  1.7143875E+02  1.8504862E+02  1.9568189E+02  3.0948720E+02  3.1007732E+02  5.6421953E+03  3.1007776E+02  3.0948778E+02  1.9568190E+02  1.8504864E+02  1.7143876E+02  9.8875314E+01  1.1891959E+01
  1.0647261E+02  1.7871178E+02  1.9225682E+02  2.0284958E+02  3.1600138E+02  3.1660604E+02  5.8795584E+03  3.1660649E+02  3.1600196E+02  2.0284958E+02  1.9225684E+02  1.7871179E+02  1.0647261E+02  1.2172820E+01
  1.1419918E+02  1.8612122E+02  1.9960288E+02  2.1015605E+02  3.2266697E+02  3.2328619E+02  6.1217992E+03  3.2328665E+02  3.2266756E+02  2.1015606E+02  1.9960290E+02  1.8612123E+02  1.1419918E+02  1.2455046E+01
  1.2205465E+02  1.9366644E+02  2.0708611E+02  2.1760060E+02  3.2948278E+02  3.3011658E+02  6.3688529E+03  3.3011705E+02  3.2948337E+02  2.1760061E+02  2.0708613E+02  1.9366644E+02  1.2205465E+02  1.2738651E+01
  1.3003859E+02  2.0134674E+02  2.1470576E+02  2.2518243E+02  3.3644761E+02  3.3709601E+02  6.6206540E+03  3.3709647E+02  3.3644821E+02  2.2518244E+02  2.1470578E+02  2.0134675E+02  1.3003859E+02  1.3023651E+01
  1.3815053E+02  2.0916140E+02  2.2246106E+02  2.3290076E+02  3.4356026E+02  3.4422326E+02  6.8771371E+03  3.4422372E+02  3.4356086E+02  2.3290077E+02  2.2246109E+02  2.0916141E+02  1.3815054E+02  1.3310059E+01
  1.4638991E+02  2.1710963E+02  2.3035118E+02  2.4075470E+02  3.5081944E+02  3.5149705E+02  7.1382353E+03  3.5149752E+02  3.5082005E+02  2.4075470E+02  2.3035120E+02  2.1710964E+02  1.4638992E+02  1.3597891E+01
  1.5475621E+02  2.2519070E+02  2.3837533E+02  2.4874345E+02  3.5822399E+02  3.5891624E+02  7.4038855E+03  3.5891671E+02  3.5822461E+02  2.4874345E+02  2.3837535E+02  2.2519071E+02  1.5475621E+02  1.3887163E+01
  0.0000000E+00  2.5000000E-09  2.7917835E-06  1.2036047E+01  1.7767976E+02  1.7767976E+02  1.0369031E+02  1.7767963E+02  1.7767966E+02  1.2036040E+01  2.7917875E-06  2.6000000E-09  0.0000000E+00  8.5894773E-01
  0.0000000E+00  3.6000101E-09  1.0356404E+00  1.4063427E+01  1.7541701E+02  1.7543394E+02  1.6976446E+02  1.7543380E+02  1.7541689E+02  1.4063422E+01  1.0356418E+00  3.4000004E-09  0.0000000E+00  1.0438438E+00
  0.0000000E+00  3.6000007E-09  2.9226908E+00  1.6123700E+01  1.7346450E+02  1.7349852E+02  2.2321645E+02  1.7349838E+02  1.7346439E+02  1.6123696E+01  2.9226944E+00  3.4000006E-09  0.0000000E+00  1.2290590E+00
  0.0000000E+00  4.2000010E-09  5.2920300E+00  1.8203762E+01  1.7190995E+02  1.7196110E+02  2.7320478E+02  1.7196096E+02  1.7190983E+02  1.8203758E+01  5.2920351E+00  3.5000008E-09  0.0000000E+00  1.4148668E+00
  0.0000000E+00  4.7000010E-09  7.6536289E+00  2.0310120E+01  1.7068320E+02  1.7075143E+02  3.2090633E+02  1.7075128E+02  1.7068309E+02  2.0310117E+01  7.6536352E+00  3.6000010E-09  0.0000000E+00  1.6012712E+00
  0.0000000E+00  3.6000008E-09  1.0020203E+01  2.2445025E+01  1.6976030E+02  1.6984552E+02  3.6731961E+02  1.6984537E+02  1.6976019E+02  2.2445022E+01  1.0020211E+01  3.7000104E-09  0.0000000E+00  1.7882764E+00
  0.0000000E+00  3.4878760E-07  1.2403631E+01  2.4626566E+01  1.6912194E+02  1.6922403E+02  4.1384230E+02  1.6922388E+02  1.6912183E+02  2.4626563E+01  1.2403639E+01  3.4878763E-07  0.0000000E+00  1.9758869E+00
  0.0000000E+00  2.8041598E-01  1.4756336E+01  2.6793455E+01  1.6862717E+02  1.6874591E+02  4.6526729E+02  1.6874576E+02  1.6862707E+02  2.6793452E+01  1.4756346E+01  2.8041601E-01  0.0000000E+00  2.1640879E+00
  0.0000000E+00  2.2674648E+00  1.7068707E+01  2.8928320E+01  1.6842488E+02  1.6856014E+02  5.1357342E+02  1.6855999E+02  1.6842479E+02  2.8928318E+01  1.7068717E+01  2.2674655E+00  0.0000000E+00  2.3528773E+00
  0.0000000E+00  4.8146700E+00  1.9458185E+01  3.1150163E+01  1.6841615E+02  1.6856798E+02  5.6530573E+02  1.6856782E+02  1.6841605E+02  3.1150161E+01  1.9458197E+01  4.8146714E+00  0.0000000E+00  2.5423158E+00
  0.0000000E+00  7.4642250E+00  2.1929789E+01  3.3462669E+01  1.6859084E+02  1.6875914E+02  6.2077825E+02  1.6875898E+02  1.6859075E+02  3.3462667E+01  2.1929801E+01  7.4642268E+00  0.0000000E+00  2.7324083E+00
  0.0000000E+00  1.0195678E+01  2.4488505E+01  3.5869761E+01  1.6894130E+02  1.6912596E+02  6.7974467E+02  1.6912580E+02  1.6894121E+02  3.5869760E+01  2.4488518E+01  1.0195680E+01  0.0000000E+00  2.9231599E+00
  0.0000000E+00  1.3008179E+01  2.7138563E+01  3.8374746E+01  1.6946741E+02  1.6966824E+02  7.4305785E+02  1.6966808E+02  1.6946732E+02  3.8374745E+01  2.7138576E+01  1.3008181E+01  0.0000000E+00  3.1145754E+00
  0.0000000E+00  1.5906909E+01  2.9884173E+01  4.0981016E+01  1.7016689E+02  1.7038385E+02  8.1128156E+02  1.7038370E+02  1.7016680E+02  4.0981015E+01  2.9884188E+01  1.5906912E+01  0.0000000E+00  3.3066601E+00
  0.0000000E+00  1.8896344E+01  3.2728814E+01  4.3691403E+01  1.7108049E+02  1.7131174E+02  8.8388855E+02  1.7131159E+02  1.7108040E+02  4.3691403E+01  3.2728829E+01  1.8896348E+01  0.0000000E+00  3.4994190E+00
  0.0000000E+00  2.1980628E+01  3.5675892E+01  4.6508691E+01  1.7218935E+02  1.7243644E+02  9.6250969E+02  1.7243628E+02  1.7218927E+02  4.6508691E+01  3.5675908E+01  2.1980632E+01  0.0000000E+00  3.6928571E+00
  0.0000000E+00  2.5163244E+01  3.8728179E+01  4.9435147E+01  1.7345698E+02  1.7371980E+02  1.0464837E+03  1.7371965E+02  1.7345690E+02  4.9435147E+01  3.8728196E+01  2.5163249E+01  0.0000000E+00  3.8869797E+00
  0.0000000E+00  2.8447404E+01  4.1888300E+01  5.2472948E+01  1.7494088E+02  1.7521833E+02  1.1354502E+03  1.7521817E+02  1.7494080E+02  5.2472949E+01  4.1888317E+01  2.8447409E+01  0.0000000E+00  4.0817925E+00
  0.0000000E+00  3.1835809E+01  4.5158416E+01  5.5639695E+01  1.7662057E+02  1.7691218E+02  1.2294712E+03  1.7691202E+02  1.7662051E+02  5.5639696E+01  4.5158433E+01  3.1835814E+01  0.0000000E+00  4.2773005E+00
  0.0000000E+00  3.5330782E+01  4.8540382E+01  5.8946269E+01  1.7846121E+02  1.7876817E+02  1.3285876E+03  1.7876800E+02  1.7846114E+02  5.8946270E+01  4.8540400E+01  3.5330787E+01  0.0000000E+00  4.4735093E+00
  0.0000000E+00  3.8934410E+01  5.2035877E+01  6.2369664E+01  1.8045516E+02  1.8077738E+02  1.4328248E+03  1.8077722E+02  1.8045510E+02  6.2369666E+01  5.2035895E+01  3.8934415E+01  0.0000000E+00  4.6704243E+00
  0.0000000E+00  4.2648365E+01  5.5646211E+01  6.5910925E+01  1.8260024E+02  1.8293766E+02  1.5421901E+03  1.8293749E+02  1.8260018E+02  6.5910926E+01  5.5646231E+01  4.2648371E+01  0.0000000E+00  4.8680510E+00
  0.0000000E+00  4.6474053E+01  5.9372452E+01  6.9570907E+01  1.8489863E+02  1.8524990E+02  1.6566772E+03  1.8524973E+02  1.8489858E+02  6.9570908E+01  5.9372472E+01  4.6474059E+01  0.0000000E+00  5.0663953E+00
  0.0000000E+00  5.0412726E+01  6.3215564E+01  7.3350391E+01  1.8738194E+02  1.8774818E+02  1.7762721E+03  1.8774802E+02  1.8738188E+02  7.3350393E+01  6.3215584E+01  5.0412732E+01  0.0000000E+00  5.2654638E+00
  0.0000000E+00  5.4465232E+01  6.7176121E+01  7.7249752E+01  1.9001139E+02  1.9039256E+02  1.9009456E+03  1.9039239E+02  1.9001134E+02  7.7249754E+01  6.7176142E+01  5.4465239E+01  0.0000000E+00  5.4652600E+00
  0.0000000E+00  5.8632329E+01  7.1254646E+01  8.1269357E+01  1.9278538E+02  1.9318140E+02  2.0306636E+03  1.9318123E+02  1.9278533E+02  8.1269359E+01  7.1254667E+01  5.8632336E+01  0.0000000E+00  5.6657909E+00
  3.0414564E-07  6.2914518E+01  7.5451415E+01  8.5409337E+01  1.9576379E+02  1.9617116E+02  2.1653835E+03  1.9617099E+02  1.9576374E+02  8.5409339E+01  7.5451436E+01  6.2914525E+01  3.0414565E-07  5.8670625E+00
  4.5975458E-01  6.7293694E+01  7.9746871E+01  8.9650580E+01  1.9886937E+02  1.9929548E+02  2.3086402E+03  1.9929531E+02  1.9886932E+02  8.9650582E+01  7.9746893E+01  6.7293701E+01  4.5975460E-01  6.0687937E+00
  5.2118652E+00  7.1779286E+01  8.4153391E+01  9.4004833E+01  2.0213517E+02  2.0257581E+02  2.4452664E+03  2.0257564E+02  2.0213512E+02  9.4004836E+01  8.4153414E+01  7.1779294E+01  5.2118654E+00  6.2708363E+00
  1.0204770E+01  7.6383985E+01  8.8681405E+01  9.8482190E+01  2.0554131E+02  2.0599643E+02  2.5867579E+03  2.0599626E+02  2.0554126E+02  9.8482193E+01  8.8681427E+01  7.6383993E+01  1.0204770E+01  6.4737816E+00
  1.5305955E+01  8.1108227E+01  9.3331218E+01  1.0308289E+02  2.0908691E+02  2.0955649E+02  2.7330751E+03  2.0955632E+02  2.0908687E+02  1.0308289E+02  9.3331242E+01  8.1108234E+01  1.5305955E+01  6.6776383E+00
  2.0516281E+01  8.5952279E+01  9.8102983E+01  1.0780699E+02  2.1277102E+02  2.1325501E+02  2.8841741E+03  2.1325484E+02  2.1277098E+02  1.0780700E+02  9.8103007E+01  8.5952287E+01  2.0516282E+01  6.8824157E+00
  2.5836476E+01  9.0916370E+01  1.0299683E+02  1.1265456E+02  2.1659270E+02  2.1709107E+02  3.0400104E+03  2.1709090E+02  2.1659266E+02  1.1265457E+02  1.0299685E+02  9.0916379E+01  2.5836476E+01  7.0881226E+00
  3.1267087E+01  9.6000544E+01  1.0801269E+02  1.1762547E+02  2.2055095E+02  2.2106365E+02  3.2005339E+03  2.2106348E+02  2.2055091E+02  1.1762547E+02  1.0801271E+02  9.6000552E+01  3.1267088E+01  7.2947686E+00
  3.6808546E+01  1.0120477E+02  1.1315044E+02  1.2271952E+02  2.2464474E+02  2.2517175E+02  3.3656931E+03  2.2517158E+02  2.2464471E+02  1.2271952E+02  1.1315047E+02  1.0120478E+02  3.6808547E+01  7.5023629E+00
  4.2461156E+01  1.0652892E+02  1.1840988E+02  1.2793644E+02  2.2887300E+02  2.2941429E+02  3.5354343E+03  2.2941412E+02  2.2887297E+02  1.2793644E+02  1.1840991E+02  1.0652892E+02  4.2461157E+01  7.7109149E+00
  4.8225092E+01  1.1197277E+02  1.2379070E+02  1.3327590E+02  2.3323467E+02  2.3379019E+02  3.7097023E+03  2.3379003E+02  2.3323464E+02  1.3327590E+02  1.2379073E+02  1.1197277E+02  4.8225093E+01  7.9204345E+00
  5.4100429E+01  1.1753601E+02  1.2929251E+02  1.3873744E+02  2.3772861E+02  2.3829836E+02  3.8884392E+03  2.3829819E+02  2.3772859E+02  1.3873744E+02  1.2929254E+02  1.1753602E+02  5.4100430E+01  8.1309316E+00
  6.0087187E+01  1.2321833E+02  1.3491493E+02  1.4432063E+02  2.4235377E+02  2.4293769E+02  4.0715889E+03  2.4293753E+02  2.4235375E+02  1.4432063E+02  1.3491496E+02  1.2321834E+02  6.0087188E+01  8.3424159E+00
  6.6185250E+01  1.2901928E+02  1.4065744E+02  1.5002491E+02  2.4712895E+02  2.4772314E+02  4.2590913E+03  2.4772297E+02  2.4712893E+02  1.5002491E+02  1.4065747E+02  1.2901929E+02  6.6185251E+01  8.5548985E+00
  7.2394440E+01  1.3493837E+02  1.4651949E+02  1.5584969E+02  2.5207158E+02  2.5267981E+02  4.4508867E+03  2.5267965E+02  2.5207157E+02  1.5584969E+02  1.4651952E+02  1.3493838E+02  7.2394441E+01  8.7683883E+00
  7.8714502E+01  1.4097506E+02  1.5250049E+02  1.6179433E+02  2.5728626E+02  2.5789373E+02  4.6469148E+03  2.5789425E+02  2.5728694E+02  1.6179434E+02  1.5250052E+02  1.4097507E+02  7.8714503E+01  8.9828970E+00
  8.5145118E+01  1.4712876E+02  1.5859977E+02  1.6785815E+02  2.6271027E+02  2.6333134E+02  4.8471144E+03  2.6333186E+02  2.6271096E+02  1.6785815E+02  1.5859980E+02  1.4712877E+02  8.5145119E+01  9.1984345E+00
  9.1685915E+01  1.5339882E+02  1.6481667E+02  1.7404042E+02  2.6826582E+02  2.6890046E+02  5.0514247E+03  2.6890099E+02  2.6826651E+02  1.7404043E+02  1.6481670E+02  1.5339883E+02  9.1685916E+01  9.4150120E+00
  9.8336426E+01  1.5978455E+02  1.7115042E+02  1.8034035E+02  2.7395163E+02  2.7459984E+02  5.2597829E+03  2.7460038E+02  2.7395233E+02  1.8034035E+02  1.7115044E+02  1.5978456E+02  9.8336428E+01  9.6326404E+00
  1.0509621E+02  1.6628528E+02  1.7760030E+02  1.8675721E+02  2.7976651E+02  2.8042826E+02  5.4721299E+03  2.8042880E+02  2.7976721E+02  1.8675722E+02  1.7760033E+02  1.6628529E+02  1.0509621E+02  9.8513314E+00
  1.1196472E+02  1.7290024E+02  1.8416552E+02  1.9329015E+02  2.8570918E+02  2.8638446E+02  5.6884034E+03  2.8638500E+02  2.8570989E+02  1.9329016E+02  1.8416555E+02  1.7290025E+02  1.1196472E+02  1.0071095E+01
  1.1894138E+02  1.7962865E+02  1.9084524E+02  1.9993833E+02  2.9177840E+02  2.9246719E+02  5.9085420E+03  2.9246775E+02  2.9177911E+02  1.9993834E+02  1.9084527E+02  1.7962866E+02  1.1894138E+02  1.0291944E+01
  1.2602556E+02  1.8646970E+02  1.9763861E+02  2.0670086E+02  2.9797287E+02  2.9867518E+02  6.1324848E+03  2.9867573E+02  2.9797359E+02  2.0670086E+02  1.9763864E+02  1.8646971E+02  1.2602556E+02  1.0513890E+01
  1.3321663E+02  1.9342256E+02  2.0454479E+02  2.1357686E+02  3.0429137E+02  3.0500718E+02  6.3601711E+03  3.0500773E+02  3.0429209E+02  2.1357686E+02  2.0454482E+02  1.9342257E+02  1.3321663E+02  1.0736945E+01
  0.0000000E+00  2.1000000E-09  2.5418140E-06  1.0504076E+01  1.5399239E+02  1.5399239E+02  9.2539248E+01  1.5399224E+02  1.5399226E+02  1.0504068E+01  2.5418189E-06  2.5000000E-09  0.0000000E+00  6.8404384E-01
  0.0000000E+00  3.0000004E-09  9.3522697E-01  1.2114454E+01  1.5238730E+02  1.5240602E+02  1.4368049E+02  1.5240585E+02  1.5238716E+02  1.2114446E+01  9.3522871E-01  3.3000006E-09  0.0000000E+00  8.2403699E-01
  0.0000000E+00  3.6000002E-09  2.5366319E+00  1.3807371E+01  1.4966554E+02  1.4970241E+02  1.8491358E+02  1.4970224E+02  1.4966541E+02  1.3807366E+01  2.5366363E+00  3.6000004E-09  0.0000000E+00  9.6523502E-01
  0.0000000E+00  3.8000008E-09  4.4893457E+00  1.5521079E+01  1.4744597E+02  1.4750047E+02  2.2342492E+02  1.4750030E+02  1.4744584E+02  1.5521075E+01  4.4893518E+00  4.5000005E-09  0.0000000E+00  1.1068834E+00
  0.0000000E+00  3.9000008E-09  6.4396348E+00  1.7262897E+01  1.4564797E+02  1.4571965E+02  2.6030332E+02  1.4571948E+02  1.4564784E+02  1.7262891E+01  6.4396424E+00  3.8000008E-09  0.0000000E+00  1.2489853E+00
  0.0000000E+00  4.1000001E-09  8.3991440E+00  1.9038538E+01  1.4422183E+02  1.4431024E+02  2.9650256E+02  1.4431007E+02  1.4422170E+02  1.9038533E+01  8.3991528E+00  3.6000103E-09  0.0000000E+00  1.3915438E+00
  0.0000000E+00  2.8131949E-07  1.0378522E+01  2.0854738E+01  1.4312776E+02  1.4323261E+02  3.3350805E+02  1.4323244E+02  1.4312763E+02  2.0854734E+01  1.0378532E+01  2.8131954E-07  0.0000000E+00  1.5345623E+00
  0.0000000E+00  2.2478574E-01  1.2350537E+01  2.2664177E+01  1.4222248E+02  1.4234273E+02  3.7559669E+02  1.4234255E+02  1.4222238E+02  2.2664174E+01  1.2350548E+01  2.2478578E-01  0.0000000E+00  1.6780294E+00
  0.0000000E+00  1.8390353E+00  1.4286620E+01  2.4453435E+01  1.4164852E+02  1.4178459E+02  4.1534811E+02  1.4178441E+02  1.4164841E+02  2.4453432E+01  1.4286633E+01  1.8390363E+00  0.0000000E+00  1.8219428E+00
  0.0000000E+00  3.9773951E+00  1.6295096E+01  2.6323406E+01  1.4128522E+02  1.4143689E+02  4.5854250E+02  1.4143671E+02  1.4128512E+02  2.6323404E+01  1.6295110E+01  3.9773968E+00  0.0000000E+00  1.9663497E+00
  0.0000000E+00  6.2132594E+00  1.8380230E+01  2.8277227E+01  1.4111870E+02  1.4128573E+02  5.0501586E+02  1.4128555E+02  1.4111860E+02  2.8277225E+01  1.8380245E+01  6.2132616E+00  0.0000000E+00  2.1112537E+00
  0.0000000E+00  8.5202348E+00  2.0545883E+01  3.0317826E+01  1.4113748E+02  1.4131967E+02  5.5492816E+02  1.4131949E+02  1.4113738E+02  3.0317824E+01  2.0545899E+01  8.5202376E+00  0.0000000E+00  2.2566587E+00
  0.0000000E+00  1.0903016E+01  2.2795829E+01  3.2448166E+01  1.4133913E+02  1.4153621E+02  6.0948224E+02  1.4153603E+02  1.4133903E+02  3.2448165E+01  2.2795846E+01  1.0903019E+01  0.0000000E+00  2.4025683E+00
  0.0000000E+00  1.3365651E+01  2.5133170E+01  3.4670660E+01  1.4172278E+02  1.4193446E+02  6.6835655E+02  1.4193428E+02  1.4172268E+02  3.4670659E+01  2.5133188E+01  1.3365654E+01  0.0000000E+00  2.5489866E+00
  0.0000000E+00  1.5911826E+01  2.7560902E+01  3.6987720E+01  1.4230723E+02  1.4253330E+02  7.3243921E+02  1.4253312E+02  1.4230714E+02  3.6987720E+01  2.7560920E+01  1.5911831E+01  0.0000000E+00  2.6959173E+00
  0.0000000E+00  1.8544666E+01  3.0081455E+01  3.9401275E+01  1.4306377E+02  1.4330350E+02  8.0085619E+02  1.4330332E+02  1.4306369E+02  3.9401274E+01  3.0081474E+01  1.8544671E+01  0.0000000E+00  2.8433642E+00
  0.0000000E+00  2.1266991E+01  3.2697115E+01  4.1913173E+01  1.4404526E+02  1.4429819E+02  8.7368434E+02  1.4429800E+02  1.4404519E+02  4.1913173E+01  3.2697135E+01  2.1266996E+01  0.0000000E+00  2.9913314E+00
  0.0000000E+00  2.4081122E+01  3.5409704E+01  4.4527617E+01  1.4519353E+02  1.4546049E+02  9.5097435E+02  1.4546030E+02  1.4519346E+02  4.4527618E+01  3.5409724E+01  2.4081127E+01  0.0000000E+00  3.1398232E+00
  0.0000000E+00  2.6989143E+01  3.8220882E+01  4.7274686E+01  1.4649289E+02  1.4677375E+02  1.0327589E+03  1.4677357E+02  1.4649283E+02  4.7274687E+01  3.8220903E+01  2.6989149E+01  0.0000000E+00  3.2888434E+00
  0.0000000E+00  2.9992736E+01  4.1131946E+01  5.0124584E+01  1.4793976E+02  1.4823440E+02  1.1190519E+03  1.4823422E+02  1.4793970E+02  5.0124585E+01  4.1131968E+01  2.9992742E+01  0.0000000E+00  3.4383962E+00
  0.0000000E+00  3.3093292E+01  4.4143947E+01  5.3078122E+01  1.4953087E+02  1.4983918E+02  1.2098524E+03  1.4983900E+02  1.4953081E+02  5.3078123E+01  4.4143969E+01  3.3093298E+01  0.0000000E+00  3.5884858E+00
  0.0000000E+00  3.6292020E+01  4.7257809E+01  5.6136008E+01  1.5126330E+02  1.5158516E+02  1.3051492E+03  1.5158498E+02  1.5126324E+02  5.6136009E+01  4.7257832E+01  3.6292027E+01  0.0000000E+00  3.7391164E+00
  0.0000000E+00  3.9589820E+01  5.0474137E+01  5.9298676E+01  1.5314129E+02  1.5347535E+02  1.4049188E+03  1.5347517E+02  1.5314124E+02  5.9298678E+01  5.0474161E+01  3.9589827E+01  0.0000000E+00  3.8902921E+00
  0.0000000E+00  4.2987414E+01  5.3793446E+01  6.2566478E+01  1.5518533E+02  1.5553269E+02  1.5091302E+03  1.5553250E+02  1.5518528E+02  6.2566480E+01  5.3793471E+01  4.2987421E+01  0.0000000E+00  4.0420185E+00
  0.0000000E+00  4.6485246E+01  5.7215933E+01  6.5939440E+01  1.5739445E+02  1.5775238E+02  1.6177420E+03  1.5775219E+02  1.5739440E+02  6.5939442E+01  5.7215958E+01  4.6485254E+01  0.0000000E+00  4.1942978E+00
  0.0000000E+00  5.0083721E+01  6.0741821E+01  6.9417671E+01  1.5977534E+02  1.6014630E+02  1.7307110E+03  1.6014611E+02  1.5977529E+02  6.9417674E+01  6.0741847E+01  5.0083729E+01  0.0000000E+00  4.3471354E+00
  2.3776882E-07  5.3783005E+01  6.4371094E+01  7.3001022E+01  1.6228812E+02  1.6267202E+02  1.8479861E+03  1.6267183E+02  1.6228808E+02  7.3001025E+01  6.4371120E+01  5.3783013E+01  2.3776883E-07  4.5005361E+00
  3.5820369E-01  5.7568209E+01  6.8087672E+01  7.6673694E+01  1.6489883E+02  1.6529866E+02  1.9726558E+03  1.6529847E+02  1.6489879E+02  7.6673696E+01  6.8087699E+01  5.7568218E+01  3.5820372E-01  4.6542840E+00
  4.4772943E+00  6.1447302E+01  7.1901941E+01  8.0445706E+01  1.6765541E+02  1.6806803E+02  2.0915005E+03  1.6806784E+02  1.6765538E+02  8.0445708E+01  7.1901968E+01  6.1447311E+01  4.4772945E+00  4.8082650E+00
  8.7840418E+00  6.5429786E+01  7.5821543E+01  8.4324363E+01  1.7053746E+02  1.7096280E+02  2.2144948E+03  1.7096261E+02  1.7053743E+02  8.4324366E+01  7.5821571E+01  6.5429795E+01  8.7840420E+00  4.9629322E+00
  1.3184921E+01  6.9515761E+01  7.9846489E+01  8.8309603E+01  1.7354369E+02  1.7398169E+02  2.3415933E+03  1.7398150E+02  1.7354366E+02  8.8309606E+01  7.9846517E+01  6.9515771E+01  1.3184921E+01  5.1182925E+00
  1.7680432E+01  7.3705259E+01  8.3976706E+01  9.2401302E+01  1.7667284E+02  1.7712343E+02  2.4727490E+03  1.7712325E+02  1.7667281E+02  9.2401305E+01  8.3976734E+01  7.3705268E+01  1.7680432E+01  5.2743528E+00
  2.2270947E+01  7.7998209E+01  8.8212042E+01  9.6599238E+01  1.7992365E+02  1.8038679E+02  2.6079126E+03  1.8038660E+02  1.7992362E+02  9.6599242E+01  8.8212071E+01  7.7998218E+01  2.2270948E+01  5.4311196E+00
  2.6956719E+01  8.2394457E+01  9.2552252E+01  1.0090312E+02  1.8329483E+02  1.8377047E+02  2.7470328E+03  1.8377028E+02  1.8329482E+02  1.0090312E+02  9.2552282E+01  8.2394467E+01  2.6956720E+01  5.5886006E+00
  3.1737876E+01  8.6893734E+01  9.6997001E+01  1.0531256E+02  1.8678512E+02  1.8727320E+02  2.8900560E+03  1.8727301E+02  1.8678510E+02  1.0531256E+02  9.6997031E+01  8.6893745E+01  3.1737877E+01  5.7468025E+00
  3.6614490E+01  9.1495785E+01  1.0154595E+02  1.0982716E+02  1.9039327E+02  1.9089375E+02  3.0369297E+03  1.9089357E+02  1.9039326E+02  1.0982716E+02  1.0154599E+02  9.1495795E+01  3.6614491E+01  5.9057328E+00
  4.1586495E+01  9.6200195E+01  1.0619864E+02  1.1444642E+02  1.9411800E+02  1.9463083E+02  3.1875980E+03  1.9463065E+02  1.9411799E+02  1.1444642E+02  1.0619867E+02  9.6200206E+01  4.1586496E+01  6.0653983E+00
  4.6653774E+01  1.0100654E+02  1.1095457E+02  1.1916981E+02  1.9795805E+02  1.9848320E+02  3.3420050E+03  1.9848301E+02  1.9795804E+02  1.1916981E+02  1.1095460E+02  1.0100655E+02  4.6653775E+01  6.2258073E+00
  5.1816119E+01  1.0591432E+02  1.1581318E+02  1.2399672E+02  2.0191214E+02  2.0244956E+02  3.5000939E+03  2.0244938E+02  2.0191214E+02  1.2399672E+02  1.1581321E+02  1.0591433E+02  5.1816120E+01  6.3869668E+00
  5.7073262E+01  1.1092299E+02  1.2077388E+02  1.2892652E+02  2.0600990E+02  2.0655589E+02  3.6618079E+03  2.0655571E+02  2.0600990E+02  1.2892653E+02  1.2077392E+02  1.1092300E+02  5.7073263E+01  6.5488851E+00
  6.2424851E+01  1.1603194E+02  1.2583601E+02  1.3395852E+02  2.1033092E+02  2.1087311E+02  3.8270886E+03  2.1087372E+02  2.1033172E+02  1.3395852E+02  1.2583604E+02  1.1603195E+02  6.2424852E+01  6.7115694E+00
  6.7870531E+01  1.2124059E+02  1.3099893E+02  1.3909206E+02  2.1487051E+02  2.1542434E+02  3.9958803E+03  2.1542495E+02  2.1487131E+02  1.3909206E+02  1.3099897E+02  1.2124060E+02  6.7870532E+01  6.8750280E+00
  7.3409851E+01  1.2654825E+02  1.3626192E+02  1.4432637E+02  2.1952416E+02  2.2008961E+02  4.1681246E+03  2.2009022E+02  2.1952497E+02  1.4432637E+02  1.3626195E+02  1.2654826E+02  7.3409853E+01  7.0392691E+00
  7.9042323E+01  1.3195422E+02  1.4162423E+02  1.4966068E+02  2.2429058E+02  2.2486761E+02  4.3437639E+03  2.2486823E+02  2.2429140E+02  1.4966068E+02  1.4162426E+02  1.3195423E+02  7.9042324E+01  7.2043007E+00
  8.4767419E+01  1.3745777E+02  1.4708509E+02  1.5509420E+02  2.2916848E+02  2.2975706E+02  4.5227410E+03  2.2975769E+02  2.2916931E+02  1.5509420E+02  1.4708512E+02  1.3745778E+02  8.4767421E+01  7.3701311E+00
  9.0584579E+01  1.4305815E+02  1.5264371E+02  1.6062610E+02  2.3415659E+02  2.3475670E+02  4.7049989E+03  2.3475733E+02  2.3415742E+02  1.6062611E+02  1.5264374E+02  1.4305816E+02  9.0584581E+01  7.5367693E+00
  9.6493199E+01  1.4875458E+02  1.5829928E+02  1.6625557E+02  2.3925361E+02  2.3986521E+02  4.8904807E+03  2.3986585E+02  2.3925445E+02  1.6625557E+02  1.5829932E+02  1.4875459E+02  9.6493201E+01  7.7042234E+00
  1.0249264E+02  1.5454624E+02  1.6405095E+02  1.7198171E+02  2.4445825E+02  2.4508134E+02  5.0791294E+03  2.4508199E+02  2.4445910E+02  1.7198172E+02  1.6405098E+02  1.5454626E+02  1.0249264E+02  7.8725022E+00
  1.0858227E+02  1.6043236E+02  1.6989790E+02  1.7780370E+02  2.4976929E+02  2.5040384E+02  5.2708907E+03  2.5040448E+02  2.4977015E+02  1.7780370E+02  1.6989794E+02  1.6043237E+02  1.0858228E+02  8.0416150E+00
  1.1476141E+02  1.6641208E+02  1.7583926E+02  1.8372064E+02  2.5518546E+02  2.5583144E+02  5.4657085E+03  2.5583209E+02  2.5518632E+02  1.8372064E+02  1.7583930E+02  1.6641209E+02  1.1476141E+02  8.2115704E+00
  0.0000000E+00  2.6000000E-09  2.3067278E-06  9.0551134E+00  1.2843329E+02  1.2843329E+02  8.2323170E+01  1.2843310E+02  1.2843313E+02  9.0551028E+00  2.3067337E-06  2.1000000E-09  0.0000000E+00  5.4475776E-01
  0.0000000E+00  3.7000004E-09  8.4167486E-01  1.0449239E+01  1.2513005E+02  1.2514747E+02  1.2124304E+02  1.2514727E+02  1.2512989E+02  1.0449229E+01  8.4167696E-01  3.7000004E-09  0.0000000E+00  6.4940941E-01
  0.0000000E+00  3.1000006E-09  2.2111454E+00  1.1860243E+01  1.2253427E+02  1.2256843E+02  1.5256136E+02  1.2256823E+02  1.2253411E+02  1.1860234E+01  2.2111507E+00  3.4000005E-09  0.0000000E+00  7.5471452E-01
  0.0000000E+00  3.6000005E-09  3.8301476E+00  1.3294512E+01  1.2039927E+02  1.2044962E+02  1.8191215E+02  1.2044941E+02  1.2039911E+02  1.3294504E+01  3.8301550E+00  3.5000054E-09  0.0000000E+00  8.6035461E-01
  0.0000000E+00  3.4000006E-09  5.4512863E+00  1.4754572E+01  1.1865088E+02  1.1871687E+02  2.1025274E+02  1.1871667E+02  1.1865072E+02  1.4754566E+01  5.4512955E+00  4.7000005E-09  0.0000000E+00  9.6633201E-01
  0.0000000E+00  2.7000054E-09  7.0849771E+00  1.6246708E+01  1.1726184E+02  1.1734301E+02  2.3863297E+02  1.1734282E+02  1.1726171E+02  1.6246702E+01  7.0849879E+00  3.9000055E-09  0.0000000E+00  1.0726491E+00
  0.0000000E+00  2.2073036E-07  8.7470042E+00  1.7777426E+01  1.1617595E+02  1.1627184E+02  2.6850214E+02  1.1627164E+02  1.1617582E+02  1.7777421E+01  8.7470169E+00  2.2073040E-07  0.0000000E+00  1.1793083E+00
  0.0000000E+00  1.7482755E-01  1.0408016E+01  1.9307903E+01  1.1524964E+02  1.1535998E+02  3.0299025E+02  1.1535978E+02  1.1524951E+02  1.9307899E+01  1.0408030E+01  1.7482759E-01  0.0000000E+00  1.2863008E+00
  0.0000000E+00  1.4961722E+00  1.2043213E+01  2.0826733E+01  1.1461646E+02  1.1474086E+02  3.3606089E+02  1.1474066E+02  1.1461634E+02  2.0826729E+01  1.2043228E+01  1.4961733E+00  0.0000000E+00  1.3936245E+00
  0.0000000E+00  3.3120674E+00  1.3746042E+01  2.2419523E+01  1.1418770E+02  1.1432602E+02  3.7250159E+02  1.1432582E+02  1.1418759E+02  2.2419520E+01  1.3746059E+01  3.3120694E+00  0.0000000E+00  1.5013153E+00
  0.0000000E+00  5.2098789E+00  1.5519935E+01  2.4088832E+01  1.1394068E+02  1.1409265E+02  4.1185611E+02  1.1409245E+02  1.1394057E+02  2.4088829E+01  1.5519954E+01  5.2098816E+00  0.0000000E+00  1.6093759E+00
  0.0000000E+00  7.1743290E+00  1.7368275E+01  2.5837309E+01  1.1386469E+02  1.1403006E+02  4.5513768E+02  1.1402986E+02  1.1386458E+02  2.5837307E+01  1.7368294E+01  7.1743324E+00  0.0000000E+00  1.7178091E+00
  0.0000000E+00  9.2090953E+00  1.9293791E+01  2.7667083E+01  1.1396727E+02  1.1414562E+02  5.0312661E+02  1.1414542E+02  1.1396717E+02  2.7667081E+01  1.9293812E+01  9.2090993E+00  0.0000000E+00  1.8266177E+00
  0.0000000E+00  1.1317488E+01  2.1299158E+01  2.9580280E+01  1.1423328E+02  1.1442459E+02  5.5501662E+02  1.1442438E+02  1.1423318E+02  2.9580279E+01  2.1299179E+01  1.1317492E+01  0.0000000E+00  1.9358048E+00
  0.0000000E+00  1.3502285E+01  2.3386495E+01  3.1578571E+01  1.1471100E+02  1.1491344E+02  6.1074779E+02  1.1491323E+02  1.1471092E+02  3.1578570E+01  2.3386518E+01  1.3502290E+01  0.0000000E+00  2.0453731E+00
  0.0000000E+00  1.5765984E+01  2.5557799E+01  3.3663575E+01  1.1538102E+02  1.1559595E+02  6.7038630E+02  1.1559574E+02  1.1538095E+02  3.3663575E+01  2.5557822E+01  1.5765990E+01  0.0000000E+00  2.1553253E+00
  0.0000000E+00  1.8110603E+01  2.7814610E+01  3.5836478E+01  1.1619566E+02  1.1642289E+02  7.3397317E+02  1.1642269E+02  1.1619559E+02  3.5836478E+01  2.7814634E+01  1.8110609E+01  0.0000000E+00  2.2656645E+00
  0.0000000E+00  2.0537941E+01  3.0158350E+01  3.8125791E+01  1.1715063E+02  1.1739001E+02  8.0153230E+02  1.1738981E+02  1.1715056E+02  3.8125792E+01  3.0158375E+01  2.0537947E+01  0.0000000E+00  2.3763940E+00
  0.0000000E+00  2.3049417E+01  3.2590071E+01  4.0506828E+01  1.1824191E+02  1.1849329E+02  8.7306968E+02  1.1849309E+02  1.1824185E+02  4.0506829E+01  3.2590097E+01  2.3049424E+01  0.0000000E+00  2.4875166E+00
  0.0000000E+00  2.5646182E+01  3.5110608E+01  4.2978950E+01  1.1946586E+02  1.1972910E+02  9.4857752E+02  1.1972890E+02  1.1946580E+02  4.2978951E+01  3.5110634E+01  2.5646189E+01  0.0000000E+00  2.5990354E+00
  0.0000000E+00  2.8329215E+01  3.7720680E+01  4.5542698E+01  1.2081925E+02  1.2109422E+02  1.0280386E+03  1.2109402E+02  1.2081920E+02  4.5542700E+01  3.7720708E+01  2.8329223E+01  0.0000000E+00  2.7109536E+00
  0.0000000E+00  3.1099200E+01  4.0420717E+01  4.8198335E+01  1.2229897E+02  1.2258555E+02  1.1114243E+03  1.2258535E+02  1.2229892E+02  4.8198337E+01  4.0420745E+01  3.1099208E+01  0.0000000E+00  2.8232741E+00
  0.0000000E+00  3.3956633E+01  4.3210997E+01  5.0945997E+01  1.2392790E+02  1.2422273E+02  1.1986981E+03  1.2422252E+02  1.2392785E+02  5.0945999E+01  4.3211025E+01  3.3956641E+01  0.0000000E+00  2.9360002E+00
  0.0000000E+00  3.6901905E+01  4.6091714E+01  5.3785777E+01  1.2574398E+02  1.2605006E+02  1.2898195E+03  1.2604985E+02  1.2574394E+02  5.3785779E+01  4.6091743E+01  3.6901914E+01  0.0000000E+00  3.0491359E+00
  0.0000000E+00  3.9935146E+01  4.9062820E+01  5.6717473E+01  1.2768083E+02  1.2799805E+02  1.3847388E+03  1.2799784E+02  1.2768080E+02  5.6717475E+01  4.9062850E+01  3.9935156E+01  0.0000000E+00  3.1626830E+00
  0.0000000E+00  4.3056401E+01  5.2124202E+01  5.9740891E+01  1.2973617E+02  1.3006444E+02  1.4834046E+03  1.3006423E+02  1.2973614E+02  5.9740894E+01  5.2124233E+01  4.3056411E+01  0.0000000E+00  3.2766454E+00
  1.8870953E-07  4.6265565E+01  5.5275605E+01  6.2855677E+01  1.3190769E+02  1.3224690E+02  1.5857602E+03  1.3224669E+02  1.3190766E+02  6.2855680E+01  5.5275636E+01  4.6265574E+01  1.8870955E-07  3.3910265E+00
  2.8303989E-01  4.9550483E+01  5.8503896E+01  6.6048883E+01  1.3416665E+02  1.3451899E+02  1.6945056E+03  1.3451879E+02  1.3416663E+02  6.6048886E+01  5.8503929E+01  4.9550494E+01  2.8303992E-01  3.5056639E+00
  3.8681743E+00  5.2917949E+01  6.1817861E+01  6.9329076E+01  1.3655424E+02  1.3691736E+02  1.7980966E+03  1.3691715E+02  1.3655422E+02  6.9329079E+01  6.1817893E+01  5.2917960E+01  3.8681745E+00  3.6204708E+00
  7.5975633E+00  5.6374786E+01  6.5222791E+01  7.2701250E+01  1.3905139E+02  1.3942520E+02  1.9052115E+03  1.3942500E+02  1.3905137E+02  7.2701254E+01  6.5222825E+01  5.6374797E+01  7.5975637E+00  3.7357885E+00
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  1.6717962E+01  5.8244620E+01  6.5699542E+01  7.2299150E+01  1.1838666E+02  1.1872160E+02  1.9419461E+03  1.1872139E+02  1.1838669E+02  7.2299154E+01  6.5699585E+01  5.8244635E+01  1.6717962E+01  3.0183394E+00
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  6.3412631E+01  1.0277420E+02  1.0982523E+02  1.1617102E+02  1.5618617E+02  1.5659209E+02  3.3668754E+03  1.5659294E+02  1.5618732E+02  1.1617103E+02  1.0982528E+02  1.0277422E+02  6.3412633E+01  4.0734657E+00
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  7.6571689E+01  1.1547829E+02  1.2244470E+02  1.2873719E+02  1.6766871E+02  1.6809577E+02  3.7754823E+03  1.6809665E+02  1.6766989E+02  1.2873720E+02  1.2244475E+02  1.1547831E+02  7.6571692E+01  4.3468110E+00
  8.1083787E+01  1.1984490E+02  1.2678426E+02  1.3305971E+02  1.7164620E+02  1.7208025E+02  3.9158322E+03  1.7208113E+02  1.7164739E+02  1.3305972E+02  1.2678431E+02  1.1984492E+02  8.1083790E+01  4.4388251E+00
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  0.0000000E+00  1.9000000E-09  1.8502879E-06  7.1806619E+00  7.7930528E+01  7.7930528E+01  6.5082080E+01  7.7930260E+01  7.7930313E+01  7.1806463E+00  1.8502968E-06  2.2000000E-09  0.0000000E+00  3.4584543E-01
  0.0000000E+00  3.2000003E-09  6.6807346E-01  8.1427407E+00  7.5260906E+01  7.5274003E+01  8.6040642E+01  7.5273728E+01  7.5260691E+01  8.1427257E+00  6.6807668E-01  3.7000005E-09  0.0000000E+00  4.0003520E-01
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  0.0000000E+00  3.9000004E-09  2.8184993E+00  1.0146496E+01  7.1468377E+01  7.1505317E+01  1.1978139E+02  7.1505042E+01  7.1468173E+01  1.0146485E+01  2.8185105E+00  3.5000003E-09  0.0000000E+00  5.0987450E-01
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  3.7084684E+01  7.1997293E+01  7.8206453E+01  8.4038112E+01  1.1228555E+02  1.1256619E+02  2.3624366E+03  1.1256715E+02  1.1228685E+02  8.4038118E+01  7.8206509E+01  7.1997312E+01  3.7084687E+01  2.6224371E+00
  4.0536146E+01  7.5301099E+01  8.1483165E+01  8.7297341E+01  1.1523035E+02  1.1551616E+02  2.4678479E+03  1.1551713E+02  1.1523166E+02  8.7297347E+01  8.1483222E+01  7.5301119E+01  4.0536148E+01  2.6855711E+00
  4.4043162E+01  7.8663800E+01  8.4819398E+01  9.0616473E+01  1.1824336E+02  1.1853430E+02  2.5751888E+03  1.1853528E+02  1.1824468E+02  9.0616479E+01  8.4819455E+01  7.8663820E+01  4.4043165E+01  2.7490054E+00
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  5.1221586E+01  8.5563095E+01  9.1667531E+01  9.7431491E+01  1.2446961E+02  1.2477072E+02  2.7954821E+03  1.2477171E+02  1.2447096E+02  9.7431498E+01  9.1667590E+01  8.5563115E+01  5.1221589E+01  2.8767869E+00
  5.4891815E+01  8.9098263E+01  9.5177959E+01  1.0092588E+02  1.2768071E+02  1.2798684E+02  2.9083473E+03  1.2798784E+02  1.2768206E+02  1.0092588E+02  9.5178019E+01  8.9098283E+01  5.4891818E+01  2.9411405E+00
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  6.6219407E+01  1.0003737E+02  1.0604596E+02  1.1174767E+02  1.3769340E+02  1.3801443E+02  3.2573152E+03  1.3801544E+02  1.3769478E+02  1.1174768E+02  1.0604602E+02  1.0003739E+02  6.6219410E+01  3.1360931E+00
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  7.4028979E+01  1.0760087E+02  1.1356447E+02  1.1923686E+02  1.4467451E+02  1.4500534E+02  3.4981966E+03  1.4500636E+02  1.4467592E+02  1.1923686E+02  1.1356453E+02  1.0760089E+02  7.4028983E+01  3.2676722E+00
  0.0000000E+00  2.4000000E-09  1.6275505E-06  6.5404732E+00  5.6039185E+01  5.6039185E+01  5.7855775E+01  5.6038864E+01  5.6038927E+01  6.5404542E+00  1.6275619E-06  1.6000000E-09  0.0000000E+00  2.7583080E-01
  0.0000000E+00  3.4000006E-09  5.8696676E-01  7.3485241E+00  5.4148779E+01  5.4159027E+01  7.2987146E+01  5.4158706E+01  5.4148531E+01  7.3485059E+00  5.8697086E-01  2.8000002E-09  0.0000000E+00  3.1446720E-01
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  0.0000000E+00  4.0000002E-09  2.4249239E+00  9.0411639E+00  5.1261223E+01  5.1289775E+01  9.7796500E+01  5.1289461E+01  5.1260997E+01  9.0411509E+00  2.4249378E+00  4.3000028E-09  0.0000000E+00  3.9266442E-01
  0.0000000E+00  3.6000002E-09  3.3924056E+00  9.9193046E+00  5.0256816E+01  5.0293648E+01  1.1085068E+02  5.0293334E+01  5.0256607E+01  9.9192935E+00  3.3924229E+00  3.7000003E-09  0.0000000E+00  4.3195014E-01
  0.0000000E+00  4.3000004E-09  4.3881232E+00  1.0832037E+01  4.9498090E+01  4.9542771E+01  1.2541691E+02  4.9542472E+01  4.9497910E+01  1.0832028E+01  4.3881442E+00  4.4000001E-09  0.0000000E+00  4.7136183E-01
  0.0000000E+00  9.5667927E-08  5.4132234E+00  1.1779005E+01  4.8933180E+01  4.8985373E+01  1.4175485E+02  4.8985079E+01  4.8933011E+01  1.1778997E+01  5.4132472E+00  9.5667994E-08  0.0000000E+00  5.1090031E-01
  0.0000000E+00  7.1461207E-02  6.4467016E+00  1.2738360E+01  4.8489021E+01  4.8548125E+01  1.6267716E+02  4.8547831E+01  4.8488866E+01  1.2738354E+01  6.4467280E+00  7.1461263E-02  0.0000000E+00  5.5056166E-01
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  0.0000000E+00  3.2090194E+00  9.7057135E+00  1.5806087E+01  4.8132700E+01  4.8211683E+01  2.3489609E+02  4.8211394E+01  4.8132591E+01  1.5806083E+01  9.7057468E+00  3.2090243E+00  0.0000000E+00  6.7031844E-01
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  0.0000000E+00  5.7903716E+00  1.2155754E+01  1.8140917E+01  4.8585966E+01  4.8676591E+01  2.9689006E+02  4.8676307E+01  4.8585901E+01  1.8140916E+01  1.2155791E+01  5.7903788E+00  0.0000000E+00  7.5084551E-01
  0.0000000E+00  7.1624947E+00  1.3467766E+01  1.9412865E+01  4.8990312E+01  4.9086759E+01  3.3200600E+02  4.9086480E+01  4.8990256E+01  1.9412865E+01  1.3467805E+01  7.1625030E+00  0.0000000E+00  7.9131901E-01
  0.0000000E+00  8.5905510E+00  1.4838933E+01  2.0747280E+01  4.9495571E+01  4.9597688E+01  3.6987774E+02  4.9597415E+01  4.9495528E+01  2.0747280E+01  1.4838974E+01  8.5905602E+00  0.0000000E+00  8.3193388E-01
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  0.0000000E+00  1.1617728E+01  1.7760792E+01  2.3600700E+01  5.0792291E+01  5.0905334E+01  4.5383278E+02  5.0905068E+01  5.0792270E+01  2.3600701E+01  1.7760835E+01  1.1617739E+01  0.0000000E+00  9.1359212E-01
  0.0000000E+00  1.3217972E+01  1.9312124E+01  2.5120062E+01  5.1578966E+01  5.1696457E+01  4.9986333E+02  5.1696198E+01  5.1578959E+01  2.5120064E+01  1.9312169E+01  1.3217984E+01  0.0000000E+00  9.5463784E-01
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  0.0000000E+00  1.6593244E+01  2.2596053E+01  2.8343969E+01  5.3494918E+01  5.3621765E+01  5.9984360E+02  5.3621500E+01  5.3494933E+01  2.8343972E+01  2.2596101E+01  1.6593257E+01  0.0000000E+00  1.0371680E+00
  0.0000000E+00  1.8368370E+01  2.4328412E+01  3.0048075E+01  5.4614994E+01  5.4746607E+01  6.5370179E+02  5.4746352E+01  5.4615027E+01  3.0048078E+01  2.4328461E+01  1.8368384E+01  0.0000000E+00  1.0786547E+00
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  0.0000000E+00  2.6048183E+01  3.1853394E+01  3.7469977E+01  5.9966657E+01  6.0116731E+01  8.9371517E+02  6.0116495E+01  5.9966732E+01  3.7469982E+01  3.1853448E+01  2.6048199E+01  0.0000000E+00  1.2461075E+00
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  1.0819637E-07  3.0230411E+01  3.5966469E+01  4.1536588E+01  6.3087625E+01  6.3246476E+01  1.0276897E+03  6.3246249E+01  6.3087722E+01  4.1536593E+01  3.5966525E+01  3.0230428E+01  1.0819642E-07  1.3307541E+00
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  2.5498602E+00  3.4622115E+01  4.0293376E+01  4.5820130E+01  6.6485190E+01  6.6644932E+01  1.1682216E+03  6.6645963E+01  6.6486563E+01  4.5820135E+01  4.0293434E+01  3.4622133E+01  2.5498606E+00  1.4157957E+00
  4.9969106E+00  3.6900718E+01  4.2541422E+01  4.8047490E+01  6.8379319E+01  6.8543029E+01  1.2387334E+03  6.8544068E+01  6.8380707E+01  4.8047495E+01  4.2541481E+01  3.6900737E+01  4.9969112E+00  1.4585344E+00
  7.4944750E+00  3.9234577E+01  4.4845601E+01  5.0331530E+01  7.0340297E+01  7.0507922E+01  1.3112783E+03  7.0508968E+01  7.0341698E+01  5.0331536E+01  4.4845660E+01  3.9234596E+01  7.4944759E+00  1.5014648E+00
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  1.5287638E+01  4.6562797E+01  5.2089624E+01  5.7518157E+01  7.6613072E+01  7.6792158E+01  1.5406607E+03  7.6793228E+01  7.6614514E+01  5.7518164E+01  5.2089687E+01  4.6562817E+01  1.5287639E+01  1.6314249E+00
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  4.4398312E+01  7.4353136E+01  7.9641690E+01  8.4905633E+01  1.0161339E+02  1.0182457E+02  2.4192244E+03  1.0182572E+02  1.0161497E+02  8.4905641E+01  7.9641761E+01  7.4353160E+01  4.4398315E+01  2.0779081E+00
  4.7561842E+01  7.7400469E+01  8.2668113E+01  8.7917461E+01  1.0443096E+02  1.0464546E+02  2.5156525E+03  1.0464661E+02  1.0443255E+02  8.7917469E+01  8.2668185E+01  7.7400493E+01  4.7561846E+01  2.1237358E+00
  5.0769069E+01  8.0493937E+01  8.5741122E+01  9.0976163E+01  1.0730043E+02  1.0751821E+02  2.6134828E+03  1.0751937E+02  1.0730202E+02  9.0976171E+01  8.5741193E+01  8.0493962E+01  5.0769072E+01  2.1697872E+00
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  5.7312280E+01  8.6816589E+01  9.2024132E+01  9.7231389E+01  1.1319139E+02  1.1341569E+02  2.8132033E+03  1.1341686E+02  1.1319301E+02  9.7231397E+01  9.2024205E+01  8.6816615E+01  5.7312284E+01  2.2625705E+00
  6.0647101E+01  9.0044444E+01  9.5232773E+01  1.0042653E+02  1.1621113E+02  1.1643864E+02  2.9150228E+03  1.1643982E+02  1.1621276E+02  1.0042654E+02  9.5232847E+01  9.0044470E+01  6.0647105E+01  2.3093074E+00
  6.4023283E+01  9.3315765E+01  9.8485268E+01  1.0366578E+02  1.1927921E+02  1.1950993E+02  3.0181025E+03  1.1951111E+02  1.1928086E+02  1.0366579E+02  9.8485343E+01  9.3315792E+01  6.4023288E+01  2.3562778E+00
  0.0000000E+00  4.9000000E-09  1.4012831E-06  5.9981040E+00  3.8248740E+01  3.8248740E+01  5.1338675E+01  3.8248356E+01  3.8248432E+01  5.9980809E+00  1.4012975E-06  4.3000000E-09  0.0000000E+00  2.2019858E-01
  0.0000000E+00  5.6000002E-09  5.0342154E-01  6.6760591E+00  3.6815367E+01  3.6822815E+01  6.1494734E+01  3.6822446E+01  3.6815087E+01  6.6760371E+00  5.0342672E-01  4.5000002E-09  0.0000000E+00  2.4750564E-01
  0.0000000E+00  4.4000003E-09  1.2658479E+00  7.3811046E+00  3.5780383E+01  3.5794652E+01  7.0470952E+01  3.5794288E+01  3.5780117E+01  7.3810862E+00  1.2658604E+00  4.4000003E-09  0.0000000E+00  2.7519017E-01
  0.0000000E+00  5.7000002E-09  2.0794032E+00  8.1052949E+00  3.4993295E+01  3.5013834E+01  7.9789757E+01  3.5013476E+01  3.4993058E+01  8.1052795E+00  2.0794205E+00  4.6000002E-09  0.0000000E+00  3.0299838E-01
  0.0000000E+00  4.9000017E-09  2.9077114E+00  8.8529964E+00  3.4410716E+01  3.4437040E+01  9.0237272E+01  3.4436685E+01  3.4410496E+01  8.8529834E+00  2.9077337E+00  5.2000016E-09  0.0000000E+00  3.3089578E-01
  0.0000000E+00  5.8000014E-09  3.7655667E+00  9.6330250E+00  3.4025571E+01  3.4057382E+01  1.0222816E+02  3.4057047E+01  3.4025389E+01  9.6330142E+00  3.7655927E+00  4.8000017E-09  0.0000000E+00  3.5888301E-01
  0.0000000E+00  7.1420037E-08  4.6501012E+00  1.0447588E+01  3.3784679E+01  3.3821702E+01  1.1644882E+02  3.3821376E+01  3.3784515E+01  1.0447579E+01  4.6501305E+00  7.1420094E-08  0.0000000E+00  3.8696072E-01
  0.0000000E+00  5.1220492E-02  5.5460446E+00  1.1277090E+01  3.3629778E+01  3.3671746E+01  1.3493496E+02  3.3671427E+01  3.3629629E+01  1.1277083E+01  5.5460771E+00  5.1220539E-02  0.0000000E+00  4.1512587E-01
  0.0000000E+00  7.0081020E-01  6.4465240E+00  1.2117689E+01  3.3599496E+01  3.3646247E+01  1.5363423E+02  3.3645934E+01  3.3599363E+01  1.2117683E+01  6.4465595E+00  7.0081271E-01  0.0000000E+00  4.4337689E-01
  0.0000000E+00  1.7132621E+00  7.3949843E+00  1.3009049E+01  3.3681605E+01  3.3732824E+01  1.7507669E+02  3.3732511E+01  3.3681503E+01  1.3009044E+01  7.3950224E+00  1.7132664E+00  0.0000000E+00  4.7172500E-01
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  0.0000000E+00  5.0300784E+00  1.0540128E+01  1.6019198E+01  3.4646321E+01  3.4709787E+01  2.5388913E+02  3.4709491E+01  3.4646289E+01  1.6019197E+01  1.0540173E+01  5.0300872E+00  0.0000000E+00  5.5735936E-01
  0.0000000E+00  6.2320461E+00  1.1691359E+01  1.7134970E+01  3.5149213E+01  3.5216617E+01  2.8504300E+02  3.5216328E+01  3.5149196E+01  1.7134970E+01  1.1691407E+01  6.2320562E+00  0.0000000E+00  5.8610335E-01
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  8.8698465E-08  2.3160266E+01  2.7500877E+01  3.2169149E+01  3.8845773E+01  3.8912292E+01  7.8454987E+02  3.8913635E+01  3.8847600E+01  3.2169156E+01  2.7500957E+01  2.3160291E+01  8.8698560E-08  7.2582218E-01
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  9.4924123E+00  1.8769757E+01  2.0486653E+01  2.2695317E+01  2.1442026E+01  2.1448214E+01  5.8134576E+02  2.1450169E+01  2.1446386E+01  2.2695279E+01  2.0486911E+01  1.8769844E+01  9.4924233E+00  2.6148700E-01
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  1.1794745E+01  2.0959375E+01  2.2656932E+01  2.4842268E+01  2.3589780E+01  2.3596087E+01  6.4223025E+02  2.3598143E+01  2.3594335E+01  2.4842228E+01  2.2657195E+01  2.0959465E+01  1.1794758E+01  2.7963495E-01
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  0.0000000E+00  4.2000000E-09  1.2369430E-01  2.7352078E+00  1.5688435E+00  1.5691627E+00  1.2657338E+01  1.5692601E+00  1.5695818E+00  2.7350794E+00  1.2372256E-01  5.0000001E-09  0.0000000E+00  3.8559748E-02
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  0.0000000E+00  4.8000000E-09  8.8133450E-01  3.3813714E+00  2.0586943E+00  2.0597020E+00  2.0950829E+01  2.0601305E+00  2.0602052E+00  3.3812903E+00  8.8144697E-01  5.6000000E-09  0.0000000E+00  5.2584153E-02
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  0.0000000E+00  8.6834375E-03  1.7434111E+00  4.1540996E+00  2.7627297E+00  2.7642408E+00  3.9773320E+01  2.7649609E+00  2.7647298E+00  4.1540398E+00  1.7435668E+00  8.6835167E-03  0.0000000E+00  6.6750335E-02
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  0.0000000E+00  1.6617360E+00  3.4396563E+00  5.7412227E+00  4.3016733E+00  4.3034407E+00  8.3822406E+01  4.3044985E+00  4.3044132E+00  5.7411780E+00  3.4398563E+00  1.6617734E+00  0.0000000E+00  9.0687492E-02
  0.0000000E+00  2.0580399E+00  3.8208314E+00  6.1040105E+00  4.6673249E+00  4.6691726E+00  9.4628836E+01  4.6702913E+00  4.6701797E+00  6.1039671E+00  3.8210379E+00  2.0580822E+00  0.0000000E+00  9.5527352E-02
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  0.0000000E+00  3.3196594E+00  5.0414350E+00  7.2745067E+00  5.8478138E+00  5.8498687E+00  1.3031136E+02  5.8511626E+00  5.8509991E+00  7.2744654E+00  5.0416581E+00  3.3197139E+00  0.0000000E+00  1.1015441E-01
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  1.2731385E+01  2.0621930E+01  2.2101465E+01  2.4031331E+01  2.2727425E+01  2.2730126E+01  6.1768870E+02  2.2732872E+01  2.2733361E+01  2.4031260E+01  2.2101763E+01  2.0622032E+01  1.2731401E+01  2.7217656E-01
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  1.4067665E+01  2.1900159E+01  2.3369633E+01  2.5286647E+01  2.3990133E+01  2.3992783E+01  6.5181817E+02  2.3995610E+01  2.3996224E+01  2.5286575E+01  2.3369933E+01  2.1900264E+01  1.4067682E+01  2.8348433E-01
  0.0000000E+00  2.4000000E-09  2.8803089E-07  2.2990830E+00  8.2396631E-01  8.2397448E-01  9.7929312E+00  8.2399904E-01  8.2469427E-01  2.2989069E+00  2.8811098E-07  2.3000000E-09  0.0000000E+00  2.8755476E-02
  0.0000000E+00  3.5000000E-09  1.0321018E-01  2.4604540E+00  9.4890027E-01  9.4908331E-01  1.0871610E+01  9.4914588E-01  9.4985910E-01  2.4603093E+00  1.0323916E-01  3.4000000E-09  0.0000000E+00  3.2989983E-02
  0.0000000E+00  3.2000000E-09  3.1206882E-01  2.6357016E+00  1.1012119E+00  1.1015337E+00  1.2446287E+01  1.1018950E+00  1.1026092E+00  2.6355804E+00  3.1214745E-01  3.5000000E-09  0.0000000E+00  3.7273088E-02
  0.0000000E+00  3.2000000E-09  5.3840953E-01  2.8231433E+00  1.2818915E+00  1.2823254E+00  1.4934067E+01  1.2827599E+00  1.2835679E+00  2.8230260E+00  5.3851579E-01  3.3000000E-09  0.0000000E+00  4.1570549E-02
  0.0000000E+00  3.7000000E-09  7.7361740E-01  3.0244486E+00  1.4770283E+00  1.4775719E+00  1.8518813E+01  1.4781098E+00  1.4788913E+00  3.0243443E+00  7.7374629E-01  3.7000000E-09  0.0000000E+00  4.5882479E-02
  0.0000000E+00  4.0000000E-09  1.0189167E+00  3.2391042E+00  1.6911944E+00  1.6918193E+00  2.3212118E+01  1.6925433E+00  1.6933326E+00  3.2390098E+00  1.0190644E+00  4.1000001E-09  0.0000000E+00  5.0208986E-02
  0.0000000E+00  1.7752083E-08  1.2750740E+00  3.4673213E+00  1.9199881E+00  1.9206984E+00  2.8794353E+01  1.9215184E+00  1.9222994E+00  3.4672345E+00  1.2752377E+00  1.7752194E-08  0.0000000E+00  5.4550183E-02
  0.0000000E+00  6.6392645E-03  1.5410742E+00  3.7070094E+00  2.1598902E+00  2.1606770E+00  3.5742774E+01  2.1615902E+00  2.1623705E+00  3.7069284E+00  1.5412517E+00  6.6393554E-03  0.0000000E+00  5.8905667E-02
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  0.0000000E+00  4.8957422E-01  2.1074618E+00  4.2282940E+00  2.6965437E+00  2.6972353E+00  4.9667944E+01  2.6983409E+00  2.6994952E+00  4.2282212E+00  2.1076619E+00  4.8959586E-01  0.0000000E+00  6.7660650E-02
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  5.9475864E-01  8.1010037E+00  9.5149866E+00  1.1372605E+01  1.0032784E+01  1.0033878E+01  2.6675563E+02  1.0036316E+01  1.0038198E+01  1.1372530E+01  9.5152809E+00  8.1010956E+00  5.9476050E-01  1.5413315E-01
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  0.0000000E+00  3.2000000E-09  8.3927046E-02  2.1909141E+00  6.5621131E-01  6.5631779E-01  9.4516416E+00  6.5646814E-01  6.5746552E-01  2.1907367E+00  8.3954815E-02  3.4000000E-09  0.0000000E+00  2.8726604E-02
  0.0000000E+00  3.6000000E-09  2.6576436E-01  2.3439028E+00  8.1656891E-01  8.1673358E-01  1.0821949E+01  8.1718538E-01  8.1843160E-01  2.3437519E+00  2.6585405E-01  4.5000000E-09  0.0000000E+00  3.2740291E-02
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  0.0000000E+00  3.7000000E-09  8.9426271E-01  2.8749442E+00  1.3825376E+00  1.3827897E+00  2.0794350E+01  1.3837946E+00  1.3852859E+00  2.8748213E+00  8.9443018E-01  3.1000001E-09  0.0000000E+00  4.4862521E-02
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  0.0000000E+00  1.6194218E+00  2.9944127E+00  4.8122358E+00  3.4578822E+00  3.4581505E+00  7.5799898E+01  3.4600172E+00  3.4623329E+00  4.8121416E+00  2.9946733E+00  1.6194749E+00  0.0000000E+00  7.7805372E-02
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  0.0000000E+00  3.6362722E+00  4.9500688E+00  6.6858638E+00  5.4098130E+00  5.4100434E+00  1.3310035E+02  5.4124572E+00  5.4152576E+00  6.6857669E+00  4.9503631E+00  3.6363516E+00  0.0000000E+00  1.0315269E-01
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  5.2475697E-08  6.2700925E+00  7.5294625E+00  9.1915991E+00  7.9874102E+00  7.9875304E+00  2.0953952E+02  7.9905098E+00  7.9938887E+00  9.1914915E+00  7.5297812E+00  6.2701900E+00  5.2476062E-08  1.3346339E-01
  8.0892833E-02  6.6649450E+00  7.9174891E+00  9.5704113E+00  8.3751772E+00  8.3754760E+00  2.2118305E+02  8.3785323E+00  8.3817968E+00  9.5703018E+00  7.9178106E+00  6.6650444E+00  8.0893396E-02  1.3785456E-01
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  4.9247880E+00  9.5521932E+00  1.0457548E+01  1.1636596E+01  1.0933002E+01  1.0933048E+01  2.8007076E+02  1.0939671E+01  1.0946191E+01  1.1636331E+01  1.0457949E+01  9.5523291E+00  4.9248063E+00  1.8024116E-01
  5.2500024E+00  9.8579075E+00  1.0759926E+01  1.1934026E+01  1.1235542E+01  1.1235563E+01  2.8755731E+02  1.1242283E+01  1.1248908E+01  1.1933758E+01  1.0760328E+01  9.8580442E+00  5.2500215E+00  1.8444766E-01
  5.5750572E+00  1.0163871E+01  1.1062626E+01  1.2231883E+01  1.1538398E+01  1.1538393E+01  2.9501926E+02  1.1545208E+01  1.1551940E+01  1.2231612E+01  1.1063029E+01  1.0164009E+01  5.5750770E+00  1.8867586E-01
  5.8999036E+00  1.0470021E+01  1.1365580E+01  1.2530095E+01  1.1841504E+01  1.1841471E+01  3.0245490E+02  1.1848382E+01  1.1855219E+01  1.2529821E+01  1.1365984E+01  1.0470159E+01  5.8999241E+00  1.9292601E-01
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  6.5487815E+00  1.1082628E+01  1.1971995E+01  1.3127315E+01  1.2448208E+01  1.2448116E+01  3.1724100E+02  1.2455215E+01  1.2462267E+01  1.3127034E+01  1.1972400E+01  1.1082768E+01  6.5488033E+00  2.0149318E-01
  6.8727264E+00  1.1388973E+01  1.2275337E+01  1.3426197E+01  1.2751689E+01  1.2751567E+01  3.2458871E+02  1.2758758E+01  1.2765918E+01  1.3425913E+01  1.2275743E+01  1.1389114E+01  6.8727488E+00  2.0581073E-01
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  0.0000000E+00  4.4000000E-09  6.8631958E-08  1.3731002E+00  3.7772980E-01  3.7781096E-01  4.9166496E+00  3.7856146E-01  3.8085709E-01  1.3727259E+00  6.8701035E-08  5.1000000E-09  0.0000000E+00  1.7072814E-02
  0.0000000E+00  5.7000000E-09  2.3676373E-02  1.4617294E+00  4.9713483E-01  4.9724782E-01  5.1683680E+00  4.9833475E-01  5.0083591E-01  1.4614019E+00  2.3701370E-02  5.5000000E-09  0.0000000E+00  2.0407225E-02
  0.0000000E+00  4.6000000E-09  1.4034535E-01  1.5615026E+00  6.2477584E-01  6.2491748E-01  6.1817009E+00  6.2629329E-01  6.2898349E-01  1.5612105E+00  1.4047049E-01  4.1000000E-09  0.0000000E+00  2.3766975E-02
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  0.0000000E+00  4.3000000E-09  6.2831511E-03  1.2560943E+00  4.9315412E-01  4.9331669E-01  3.0685051E+00  4.9495754E-01  4.9800734E-01  1.2556952E+00  6.3056307E-03  3.2000000E-09  0.0000000E+00  1.8603106E-02
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  2.4283439E+00  5.0129525E+00  5.5800674E+00  6.2263156E+00  6.0507603E+00  6.0529001E+00  1.3975678E+02  6.0698829E+00  6.0818617E+00  6.2255901E+00  5.5805002E+00  5.0130989E+00  2.4283635E+00  1.3824508E-01
  2.5796753E+00  5.1525888E+00  5.7177571E+00  6.3611952E+00  6.1877680E+00  6.1899277E+00  1.4270262E+02  6.2071125E+00  6.2192382E+00  6.3604642E+00  5.7181893E+00  5.1527355E+00  2.5796957E+00  1.4151140E-01
  2.7300607E+00  5.2915240E+00  5.8547850E+00  6.4954757E+00  6.3241255E+00  6.3263042E+00  1.4561729E+02  6.3436883E+00  6.3559606E+00  6.4947393E+00  5.8552165E+00  5.2916710E+00  2.7300817E+00  1.4479444E-01
  2.8794989E+00  5.4297480E+00  5.9911394E+00  6.6291432E+00  6.4598210E+00  6.4620177E+00  1.4850085E+02  6.4795987E+00  6.4920172E+00  6.6284015E+00  5.9915703E+00  5.4298952E+00  2.8795206E+00  1.4809440E-01
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  3.1755316E+00  5.7040257E+00  6.2617861E+00  6.8945884E+00  6.7291831E+00  6.7314128E+00  1.5417497E+02  6.7493806E+00  6.7620906E+00  6.8938360E+00  6.2622156E+00  5.7041733E+00  3.1755545E+00  1.5474586E-01
  3.3221268E+00  5.8400639E+00  6.3960603E+00  7.0263438E+00  6.8628312E+00  6.8650758E+00  1.5696578E+02  6.8832336E+00  6.8960890E+00  7.0255863E+00  6.3964890E+00  5.8402117E+00  3.3221502E+00  1.5809775E-01
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  0.0000000E+00  4.3000000E-09  1.1513621E-04  7.6846451E-01  4.8860600E-01  4.8882649E-01  1.3020980E+00  4.9390517E-01  4.9916255E-01  7.6775842E-01  1.1684743E-04  4.5000000E-09  0.0000000E+00  1.4693153E-02
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  9.8888104E-01  3.2961215E+00  3.8194784E+00  4.3948474E+00  4.2802452E+00  4.2828542E+00  9.6977526E+01  4.3023166E+00  4.3151660E+00  4.3940054E+00  3.8199016E+00  3.2962594E+00  9.8889254E-01  1.0525111E-01
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  0.0000000E+00  4.3000000E-09  9.9012018E-09  5.9003312E-01  4.0031949E-01  4.0040384E-01  3.3381098E-01  4.0719018E-01  4.1297199E-01  5.8914665E-01  9.9061760E-09  4.8000000E-09  0.0000000E+00  1.1340680E-02
  0.0000000E+00  4.3000000E-09  3.6695348E-05  6.5489956E-01  4.7995784E-01  4.8020951E-01  1.3257449E+00  4.8795640E-01  4.9428271E-01  6.5407067E-01  3.8495712E-05  4.4000000E-09  0.0000000E+00  1.3749264E-02
  0.0000000E+00  4.9000000E-09  6.1673822E-02  7.2482670E-01  5.6346528E-01  5.6387206E-01  2.9323612E+00  5.7270819E-01  5.7950077E-01  7.2395249E-01  6.1841080E-02  4.8000000E-09  0.0000000E+00  1.6165825E-02
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  1.9363355E-08  1.4413910E+00  1.8275545E+00  2.2154171E+00  2.2256794E+00  2.2305314E+00  4.6277731E+01  2.2651870E+00  2.2852975E+00  2.2140195E+00  1.8278703E+00  1.4414871E+00  1.9363695E-08  6.6809674E-02
  2.9849130E-02  1.5101655E+00  1.8943104E+00  2.2799003E+00  2.2909127E+00  2.2959811E+00  4.7733766E+01  2.3310377E+00  2.3513580E+00  2.2784939E+00  1.8946229E+00  1.5102617E+00  2.9849655E-02  6.9097084E-02
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  9.3555571E-01  2.0659675E+00  2.3838998E+00  2.6934767E+00  2.7334438E+00  2.7419729E+00  5.3059772E+01  2.7895254E+00  2.8193217E+00  2.6917201E+00  2.3840682E+00  2.0660243E+00  9.3556337E-01  9.9667139E-02
  9.8536039E-01  2.1099553E+00  2.4266889E+00  2.7349856E+00  2.7752638E+00  2.7838932E+00  5.3728600E+01  2.8317581E+00  2.8618483E+00  2.7332239E+00  2.4268534E+00  2.1100109E+00  9.8536813E-01  1.0196467E-01
  1.0344418E+00  2.1533419E+00  2.4689002E+00  2.7759439E+00  2.8165253E+00  2.8252528E+00  5.4382273E+01  2.8734260E+00  2.9038071E+00  2.7741771E+00  2.4690609E+00  2.1533964E+00  1.0344497E+00  1.0427394E-01
  1.0828152E+00  2.1961379E+00  2.5105436E+00  2.8163602E+00  2.8572373E+00  2.8660607E+00  5.5021182E+01  2.9145383E+00  2.9452075E+00  2.8145885E+00  2.5107004E+00  2.1961913E+00  1.0828231E+00  1.0659507E-01
  1.1304954E+00  2.2383539E+00  2.5516288E+00  2.8562434E+00  2.8974089E+00  2.9063264E+00  5.5645706E+01  2.9551045E+00  2.9860590E+00  2.8544670E+00  2.5517819E+00  2.2384061E+00  1.1305033E+00  1.0892820E-01
  1.1774967E+00  2.2800002E+00  2.5921653E+00  2.8956022E+00  2.9370491E+00  2.9460587E+00  5.6256214E+01  2.9951336E+00  3.0263707E+00  2.8938211E+00  2.5923146E+00  2.2800513E+00  1.1775046E+00  1.1127346E-01
  1.2238333E+00  2.3210869E+00  2.6321626E+00  2.9344452E+00  2.9761671E+00  2.9852668E+00  5.6853065E+01  3.0346347E+00  3.0661521E+00  2.9326597E+00  2.6323082E+00  2.3211369E+00  1.2238411E+00  1.1363100E-01
  0.0000000E+00  2.9000000E-09  9.9080366E-09  3.2021260E-01  3.4217699E-01  3.4283430E-01  5.4214653E-01  3.7341589E-01  3.8577447E-01  3.1860151E-01  9.9101926E-09  3.1000000E-09  0.0000000E+00  9.3394177E-03
  0.0000000E+00  4.4000000E-09  2.9807317E-06  3.7167702E-01  3.9924750E-01  3.9987610E-01  1.9814967E+00  4.3088437E-01  4.4386122E-01  3.6994706E-01  3.7607878E-06  4.9000000E-09  0.0000000E+00  1.1132084E-02
  0.0000000E+00  4.3000000E-09  5.1995881E-02  4.2555638E-01  4.5527161E-01  4.5650204E-01  3.3746557E+00  4.8875310E-01  5.0288697E-01  4.2384917E-01  5.2125129E-02  4.6000000E-09  0.0000000E+00  1.2930794E-02
  0.0000000E+00  3.8000000E-09  1.1317546E-01  4.7969942E-01  5.1126393E-01  5.1304607E-01  4.8531775E+00  5.4641924E-01  5.6162226E-01  4.7800235E-01  1.1333966E-01  3.1000000E-09  0.0000000E+00  1.4735485E-02
  0.0000000E+00  3.3000000E-09  1.7372354E-01  5.3397555E-01  5.6715492E-01  5.6944609E-01  6.3772502E+00  6.0384517E-01  6.2004253E-01  5.3228071E-01  1.7391139E-01  3.7000000E-09  0.0000000E+00  1.6546201E-02
  0.0000000E+00  3.3000000E-09  2.3364029E-01  5.8824144E-01  6.2284644E-01  6.2560994E-01  7.9195797E+00  6.6095661E-01  6.7808399E-01  5.8654378E-01  2.3384398E-01  2.9000000E-09  0.0000000E+00  1.8362986E-02
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  0.0000000E+00  1.4892750E-04  3.5148941E-01  6.9612763E-01  7.3317911E-01  7.3680483E-01  1.1078332E+01  7.7387669E-01  7.9272242E-01  6.9441448E-01  3.5170890E-01  1.4967827E-04  0.0000000E+00  2.2014752E-02
  0.0000000E+00  6.1585756E-02  4.0980465E-01  7.5018466E-01  7.8824778E-01  7.9225462E-01  1.2451738E+01  8.3009431E-01  8.4970994E-01  7.4846092E-01  4.1002603E-01  6.1600197E-02  0.0000000E+00  2.3849554E-02
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  0.0000000E+00  4.1383815E-01  7.4307900E-01  1.0627984E+00  1.1055009E+00  1.1114479E+00  2.0180838E+01  1.1532888E+00  1.1769364E+00  1.0610068E+00  7.4328534E-01  4.1388210E-01  0.0000000E+00  3.4997827E-02
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  0.0000000E+00  5.2346531E-01  8.4758942E-01  1.1617727E+00  1.2056405E+00  1.2121306E+00  2.2515482E+01  1.2551328E+00  1.2799493E+00  1.1599599E+00  8.4778609E-01  5.2351206E-01  0.0000000E+00  3.8768318E-02
  0.0000000E+00  5.7686593E-01  8.9860028E-01  1.2102034E+00  1.2546030E+00  1.2613492E+00  2.3635295E+01  1.3049070E+00  1.3302821E+00  1.2083804E+00  8.9879177E-01  5.7691339E-01  0.0000000E+00  4.0664015E-02
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  0.0000000E+00  9.7207334E-01  1.2777447E+00  1.5721015E+00  1.6198689E+00  1.6283672E+00  3.1520004E+01  1.6759012E+00  1.7052480E+00  1.5702088E+00  1.2778923E+00  9.7211744E-01  0.0000000E+00  5.6087988E-02
  1.4461541E-08  1.0177134E+00  1.3216779E+00  1.6142124E+00  1.6623168E+00  1.6710036E+00  3.2382223E+01  1.7189863E+00  1.7487786E+00  1.6123123E+00  1.3218199E+00  1.0177564E+00  1.4461683E-08  5.8049182E-02
  2.2292850E-02  1.0624642E+00  1.3647503E+00  1.6555261E+00  1.7038709E+00  1.7128309E+00  3.3212322E+01  1.7612590E+00  1.7914054E+00  1.6536187E+00  1.3648868E+00  1.0625061E+00  2.2293067E-02  6.0015125E-02
  7.3994047E-02  1.1066556E+00  1.4073498E+00  1.6964357E+00  1.7450877E+00  1.7542235E+00  3.3930660E+01  1.8030803E+00  1.8336517E+00  1.6945214E+00  1.4074809E+00  1.1066961E+00  7.3994800E-02  6.1984358E-02
  1.2472242E-01  1.1500916E+00  1.4492368E+00  1.7366804E+00  1.7856281E+00  1.7949351E+00  3.4629590E+01  1.8442137E+00  1.8752028E+00  1.7347596E+00  1.4493625E+00  1.1501308E+00  1.2472363E-01  6.3962737E-02
  1.7450563E-01  1.1927888E+00  1.4904256E+00  1.7762723E+00  1.8255049E+00  1.8349785E+00  3.5309623E+01  1.8846722E+00  1.9160719E+00  1.7743451E+00  1.4905460E+00  1.1928267E+00  1.7450721E-01  6.5950356E-02
  2.2337021E-01  1.2347635E+00  1.5309306E+00  1.8152235E+00  1.8647306E+00  1.8743667E+00  3.5971276E+01  1.9244691E+00  1.9562726E+00  1.8132901E+00  1.5310457E+00  1.2347999E+00  2.2337210E-01  6.7947312E-02
  2.7134174E-01  1.2760314E+00  1.5707658E+00  1.8535459E+00  1.9033180E+00  1.9131123E+00  3.6615057E+01  1.9636172E+00  1.9958181E+00  1.8516066E+00  1.5708757E+00  1.2760664E+00  2.7134388E-01  6.9953698E-02
  3.1844452E-01  1.3166081E+00  1.6099449E+00  1.8912513E+00  1.9412794E+00  1.9512279E+00  3.7241468E+01  2.0021294E+00  2.0347214E+00  1.8893063E+00  1.6100497E+00  1.3166417E+00  3.1844686E-01  7.1969617E-02
  3.6470212E-01  1.3565089E+00  1.6484817E+00  1.9283518E+00  1.9786273E+00  1.9887262E+00  3.7851010E+01  2.0400184E+00  2.0729956E+00  1.9264013E+00  1.6485814E+00  1.3565410E+00  3.6470461E-01  7.3995165E-02
  4.1013708E-01  1.3957485E+00  1.6863894E+00  1.9648589E+00  2.0153736E+00  2.0256192E+00  3.8444166E+01  2.0772966E+00  2.1106532E+00  1.9629031E+00  1.6864840E+00  1.3957791E+00  4.1013968E-01  7.6030444E-02
  4.5477119E-01  1.4343413E+00  1.7236811E+00  2.0007842E+00  2.0515305E+00  2.0619192E+00  3.9021415E+01  2.1139763E+00  2.1477069E+00  1.9988233E+00  1.7237708E+00  1.4343705E+00  4.5477386E-01  7.8075557E-02
  4.9862528E-01  1.4723016E+00  1.7603695E+00  2.0361390E+00  2.0871097E+00  2.0976379E+00  3.9583219E+01  2.1500696E+00  2.1841687E+00  2.0341733E+00  1.7604544E+00  1.4723293E+00  4.9862798E-01  8.0130612E-02
  5.4171957E-01  1.5096430E+00  1.7964674E+00  2.0709345E+00  2.1221227E+00  2.1327872E+00  4.0130033E+01  2.1855883E+00  2.2200509E+00  2.0689641E+00  1.7965474E+00  1.5096692E+00  5.4172227E-01  8.2195711E-02
  5.8407341E-01  1.5463791E+00  1.8319868E+00  2.1051818E+00  2.1565808E+00  2.1673783E+00  4.0662295E+01  2.2205440E+00  2.2553651E+00  2.1032068E+00  1.8320621E+00  1.5464038E+00  5.8407609E-01  8.4270966E-02
  6.2570567E-01  1.5825230E+00  1.8669401E+00  2.1388917E+00  2.1904955E+00  2.2014227E+00  4.1180441E+01  2.2549482E+00  2.2901231E+00  2.1369123E+00  1.8670107E+00  1.5825462E+00  6.2570830E-01  8.6356481E-02
  6.6663435E-01  1.6180875E+00  1.9013389E+00  2.1720750E+00  2.2238775E+00  2.2349315E+00  4.1684887E+01  2.2888122E+00  2.3243362E+00  2.1700913E+00  1.9014049E+00  1.6181093E+00  6.6663691E-01  8.8452374E-02
  7.0687701E-01  1.6530851E+00  1.9351947E+00  2.2047419E+00  2.2567377E+00  2.2679155E+00  4.2176037E+01  2.3221468E+00  2.3580156E+00  2.2027543E+00  1.9352562E+00  1.6531054E+00  7.0687947E-01  9.0558757E-02
  7.4645039E-01  1.6875280E+00  1.9685188E+00  2.2369029E+00  2.2890866E+00  2.3003852E+00  4.2654286E+01  2.3549628E+00  2.3911721E+00  2.2349113E+00  1.9685758E+00  1.6875468E+00  7.4645275E-01  9.2675746E-02
  7.8537093E-01  1.7214280E+00  2.0013223E+00  2.2685680E+00  2.3209345E+00  2.3323512E+00  4.3120013E+01  2.3872708E+00  2.4238165E+00  2.2665726E+00  2.0013749E+00  1.7214454E+00  7.8537315E-01  9.4803454E-02
  8.2365430E-01  1.7547968E+00  2.0336159E+00  2.2997471E+00  2.3522915E+00  2.3638236E+00  4.3573591E+01  2.4190811E+00  2.4559591E+00  2.2977481E+00  2.0336641E+00  1.7548127E+00  8.2365639E-01  9.6942007E-02
  8.6131565E-01  1.7876454E+00  2.0654100E+00  2.3304496E+00  2.3831674E+00  2.3948122E+00  4.4015370E+01  2.4504035E+00  2.4876101E+00  2.3284471E+00  2.0654539E+00  1.7876599E+00  8.6131758E-01  9.9091521E-02
  8.9836998E-01  1.8199852E+00  2.0967150E+00  2.3606853E+00  2.4135722E+00  2.4253270E+00  4.4445707E+01  2.4812483E+00  2.5187798E+00  2.3586795E+00  2.0967547E+00  1.8199983E+00  8.9837174E-01  1.0125212E-01
  9.3483138E-01  1.8518266E+00  2.1275410E+00  2.3904635E+00  2.4435151E+00  2.4553775E+00  4.4864933E+01  2.5116248E+00  2.5494776E+00  2.3884544E+00  2.1275765E+00  1.8518384E+00  9.3483296E-01  1.0342394E-01
  9.7071377E-01  1.8831803E+00  2.1578977E+00  2.4197930E+00  2.4730055E+00  2.4849730E+00  4.5273373E+01  2.5415427E+00  2.5797133E+00  2.4177809E+00  2.1579291E+00  1.8831906E+00  9.7071516E-01  1.0560709E-01
  0.0000000E+00  4.7000000E-09  9.4354896E-09  2.7930412E-01  3.2449778E-01  3.2523630E-01  7.3522702E-01  3.5911636E-01  3.7369368E-01  2.7734686E-01  9.4546567E-09  4.5000000E-09  0.0000000E+00  9.0784627E-03
  0.0000000E+00  6.0000000E-09  1.9389714E-04  3.2784227E-01  3.7440758E-01  3.7679770E-01  2.1439682E+00  4.1224775E-01  4.2919203E-01  3.2585781E-01  2.0023909E-04  4.5000000E-09  0.0000000E+00  1.0736243E-02
  0.0000000E+00  5.4000000E-09  5.1518899E-02  3.7690425E-01  4.2463435E-01  4.2786077E-01  3.4333915E+00  4.6450237E-01  4.8292375E-01  3.7493419E-01  5.1617867E-02  4.8000000E-09  0.0000000E+00  1.2398465E-02
  0.0000000E+00  4.6000000E-09  1.0640298E-01  4.2559245E-01  4.7432599E-01  4.7830285E-01  4.7664300E+00  5.1605011E-01  5.3582038E-01  4.2362639E-01  1.0652561E-01  4.7000000E-09  0.0000000E+00  1.4066210E-02
  0.0000000E+00  5.1000000E-09  1.6019555E-01  4.7385600E-01  5.2346455E-01  5.2812087E-01  6.1125396E+00  5.6690269E-01  5.8791466E-01  4.7188768E-01  1.6033234E-01  5.9000000E-09  0.0000000E+00  1.5739517E-02
  0.0000000E+00  4.8000000E-09  2.1295164E-01  5.2162521E-01  5.7200496E-01  5.7728125E-01  7.4518202E+00  6.1703762E-01  6.3920054E-01  5.1965086E-01  2.1309619E-01  5.4000000E-09  0.0000000E+00  1.7418426E-02
  0.0000000E+00  3.5941653E-09  2.6469585E-01  5.6883143E-01  6.1989733E-01  6.2574301E-01  8.7713334E+00  6.6642249E-01  6.8965867E-01  5.6684882E-01  2.6484376E-01  3.5971586E-09  0.0000000E+00  1.9102979E-02
  0.0000000E+00  2.9635832E-03  3.1544426E-01  6.1531306E-01  6.6701406E-01  6.7339878E-01  1.0133035E+01  7.1497098E-01  7.3923660E-01  6.1331965E-01  3.1559162E-01  2.9660513E-03  0.0000000E+00  2.0793038E-02
  0.0000000E+00  5.6650073E-02  3.6557262E-01  6.6167292E-01  7.1391779E-01  7.2078194E-01  1.1276510E+01  7.6317921E-01  7.8837651E-01  6.5966818E-01  3.6571670E-01  5.6659257E-02  0.0000000E+00  2.2488563E-02
  0.0000000E+00  1.0912877E-01  4.1471916E-01  7.0729510E-01  7.6003824E-01  7.6735284E-01  1.2393048E+01  8.1054685E-01  8.3663164E-01  7.0527895E-01  4.1485868E-01  1.0914285E-01  0.0000000E+00  2.4190139E-02
  0.0000000E+00  1.6043719E-01  4.6289617E-01  7.5216373E-01  8.0536539E-01  8.1310438E-01  1.3480139E+01  8.5706920E-01  8.8400156E-01  7.5013628E-01  4.6303023E-01  1.6045473E-01  0.0000000E+00  2.5897812E-02
  0.0000000E+00  2.1060879E-01  5.1011504E-01  7.9626655E-01  8.4989188E-01  8.5803170E-01  1.4536261E+01  9.0274345E-01  9.3048715E-01  7.9422805E-01  5.1024297E-01  2.1062868E-01  0.0000000E+00  2.7611631E-02
  0.0000000E+00  2.5967444E-01  5.5638793E-01  8.3959578E-01  8.9361398E-01  9.0213327E-01  1.5560607E+01  9.4756984E-01  9.7609182E-01  8.3754656E-01  5.5650928E-01  2.5969580E-01  0.0000000E+00  2.9331643E-02
  0.0000000E+00  3.0766397E-01  6.0172925E-01  8.8214870E-01  9.3653242E-01  9.4541171E-01  1.6552907E+01  9.9155252E-01  1.0208225E+00  8.8008915E-01  6.0184370E-01  3.0768611E-01  0.0000000E+00  3.1057899E-02
  0.0000000E+00  3.5460545E-01  6.4615317E-01  9.2392476E-01  9.7864960E-01  9.8787108E-01  1.7513269E+01  1.0346970E+00  1.0646872E+00  9.2185530E-01  6.4626050E-01  3.5462782E-01  0.0000000E+00  3.2790447E-02
  0.0000000E+00  4.0052686E-01  6.8967609E-01  9.6492760E-01  1.0199716E+00  1.0295189E+00  1.8442087E+01  1.0770119E+00  1.1076967E+00  9.6284866E-01  6.8977619E-01  4.0054900E-01  0.0000000E+00  3.4529337E-02
  0.0000000E+00  4.4545491E-01  7.3231424E-01  1.0051623E+00  1.0605059E+00  1.0703639E+00  1.9339946E+01  1.1185071E+00  1.1498627E+00  1.0030743E+00  7.3240703E-01  4.4547648E-01  0.0000000E+00  3.6274617E-02
  0.0000000E+00  4.8941636E-01  7.7408546E-01  1.0446371E+00  1.1002624E+00  1.1104172E+00  2.0207582E+01  1.1591948E+00  1.1911992E+00  1.0425405E+00  7.7417094E-01  4.8943706E-01  0.0000000E+00  3.8026348E-02
  0.0000000E+00  5.3243685E-01  8.1500736E-01  1.0833610E+00  1.1392517E+00  1.1496905E+00  2.1045814E+01  1.1990874E+00  1.2317201E+00  1.0812562E+00  8.1508554E-01  5.3245645E-01  0.0000000E+00  3.9784575E-02
  0.0000000E+00  5.7454208E-01  8.5509862E-01  1.1213449E+00  1.1774865E+00  1.1881971E+00  2.1855534E+01  1.2381991E+00  1.2714410E+00  1.1192324E+00  8.5516956E-01  5.7456040E-01  0.0000000E+00  4.1549353E-02
  0.0000000E+00  6.1575679E-01  8.9437767E-01  1.1586006E+00  1.2149795E+00  1.2259509E+00  2.2637664E+01  1.2765445E+00  1.3103777E+00  1.1564807E+00  8.9444144E-01  6.1577369E-01  0.0000000E+00  4.3320735E-02
  0.0000000E+00  6.5610536E-01  9.3286329E-01  1.1951408E+00  1.2517447E+00  1.2629663E+00  2.3393143E+01  1.3141387E+00  1.3485465E+00  1.1930139E+00  9.3291996E-01  6.5612072E-01  0.0000000E+00  4.5098775E-02
  0.0000000E+00  6.9561141E-01  9.7057399E-01  1.2309786E+00  1.2877961E+00  1.2992583E+00  2.4122912E+01  1.3509972E+00  1.3859639E+00  1.2288451E+00  9.7062368E-01  6.9562515E-01  0.0000000E+00  4.6883528E-02
  0.0000000E+00  7.3429849E-01  1.0075288E+00  1.2661285E+00  1.3231491E+00  1.3348427E+00  2.4827918E+01  1.3871366E+00  1.4226474E+00  1.2639887E+00  1.0075716E+00  7.3431052E-01  0.0000000E+00  4.8675059E-02
  0.0000000E+00  7.7218893E-01  1.0437460E+00  1.3006036E+00  1.3578178E+00  1.3697340E+00  2.5509070E+01  1.4225717E+00  1.4586127E+00  1.2984579E+00  1.0437821E+00  7.7219921E-01  0.0000000E+00  5.0473405E-02
  0.0000000E+00  8.0930478E-01  1.0792439E+00  1.3344185E+00  1.3918174E+00  1.4039482E+00  2.6167274E+01  1.4573191E+00  1.4938771E+00  1.3322673E+00  1.0792733E+00  8.0931325E-01  0.0000000E+00  5.2278633E-02
  1.2306363E-08  8.4566734E-01  1.1140404E+00  1.3675877E+00  1.4251629E+00  1.4375007E+00  2.6803403E+01  1.4913945E+00  1.5284571E+00  1.3654312E+00  1.1140633E+00  8.4567400E-01  1.2306370E-08  5.4090801E-02
  1.8970584E-02  8.8120086E-01  1.1480339E+00  1.4000113E+00  1.4576762E+00  1.4702987E+00  2.7409000E+01  1.5247122E+00  1.5621924E+00  1.3978497E+00  1.1480503E+00  8.8120559E-01  1.8970594E-02  5.5907321E-02
  6.0428940E-02  9.1619373E-01  1.1815660E+00  1.4320335E+00  1.4898588E+00  1.5026725E+00  2.7926695E+01  1.5575866E+00  1.5955459E+00  1.4298671E+00  1.1815760E+00  9.1619650E-01  6.0428935E-02  5.7726825E-02
  1.0099976E-01  9.5048735E-01  1.2144380E+00  1.4634378E+00  1.5214172E+00  1.5344163E+00  2.8427964E+01  1.5898233E+00  1.6282524E+00  1.4612670E+00  1.2144417E+00  9.5048814E-01  1.0099969E-01  5.9554768E-02
  1.4071176E-01  9.8410066E-01  1.2466670E+00  1.4942391E+00  1.5523668E+00  1.5655455E+00  2.8913348E+01  1.6214381E+00  1.6603281E+00  1.4920640E+00  1.2466646E+00  9.8409950E-01  1.4071158E-01  6.1391234E-02
  1.7959236E-01  1.0170523E+00  1.2782697E+00  1.5244524E+00  1.5827229E+00  1.5960758E+00  2.9383389E+01  1.6524469E+00  1.6917893E+00  1.5222734E+00  1.2782613E+00  1.0170491E+00  1.7959203E-01  6.3236310E-02
  2.1766765E-01  1.0493600E+00  1.3092623E+00  1.5540920E+00  1.6125000E+00  1.6260220E+00  2.9838602E+01  1.6828646E+00  1.7226513E+00  1.5519092E+00  1.3092479E+00  1.0493549E+00  2.1766713E-01  6.5090085E-02
  2.5496258E-01  1.0810409E+00  1.3396603E+00  1.5831717E+00  1.6417125E+00  1.6553986E+00  3.0279490E+01  1.7127059E+00  1.7529291E+00  1.5809854E+00  1.3396401E+00  1.0810339E+00  2.5496186E-01  6.6952651E-02
  2.9150101E-01  1.1121117E+00  1.3694789E+00  1.6117052E+00  1.6703742E+00  1.6842197E+00  3.0706542E+01  1.7419851E+00  1.7826373E+00  1.6095156E+00  1.3694531E+00  1.1121028E+00  2.9150005E-01  6.8824097E-02
  3.2730575E-01  1.1425885E+00  1.3987330E+00  1.6397058E+00  1.6984986E+00  1.7124989E+00  3.1120230E+01  1.7707160E+00  1.8117901E+00  1.6375131E+00  1.3987015E+00  1.1425776E+00  3.2730453E-01  7.0704519E-02
  3.6239859E-01  1.1724867E+00  1.4274366E+00  1.6671864E+00  1.7260988E+00  1.7402495E+00  3.1521009E+01  1.7989122E+00  1.8404013E+00  1.6649907E+00  1.4273996E+00  1.1724740E+00  3.6239709E-01  7.2594009E-02
  3.9680057E-01  1.2018215E+00  1.4556037E+00  1.6941596E+00  1.7531877E+00  1.7674847E+00  3.1909326E+01  1.8265870E+00  1.8684844E+00  1.6919612E+00  1.4555614E+00  1.2018069E+00  3.9679877E-01  7.4492665E-02
  4.3053173E-01  1.2306075E+00  1.4832479E+00  1.7206376E+00  1.7797779E+00  1.7942170E+00  3.2285603E+01  1.8537529E+00  1.8960523E+00  1.7184366E+00  1.4832002E+00  1.2305911E+00  4.3052962E-01  7.6400583E-02
  4.6361132E-01  1.2588587E+00  1.5103819E+00  1.7466322E+00  1.8058812E+00  1.8204586E+00  3.2650252E+01  1.8804224E+00  1.9231177E+00  1.7444289E+00  1.5103291E+00  1.2588404E+00  4.6360889E-01  7.8317865E-02
  4.9605783E-01  1.2865887E+00  1.5370186E+00  1.7721553E+00  1.8315095E+00  1.8462214E+00  3.3003670E+01  1.9066077E+00  1.9496929E+00  1.7699497E+00  1.5369607E+00  1.2865687E+00  4.9605507E-01  8.0244607E-02
  5.2788907E-01  1.3138108E+00  1.5631702E+00  1.7972178E+00  1.8566743E+00  1.8715171E+00  3.3346236E+01  1.9323203E+00  1.9757899E+00  1.7950102E+00  1.5631072E+00  1.3137889E+00  5.2788596E-01  8.2180917E-02
  5.5912209E-01  1.3405376E+00  1.5888485E+00  1.8218309E+00  1.8813866E+00  1.8963568E+00  3.3678318E+01  1.9575717E+00  2.0014201E+00  1.8196214E+00  1.5887806E+00  1.3405140E+00  5.5911864E-01  8.4126898E-02
  5.8977323E-01  1.3667815E+00  1.6140650E+00  1.8460051E+00  1.9056572E+00  1.9207514E+00  3.4000265E+01  1.9823727E+00  2.0265948E+00  1.8437938E+00  1.6139922E+00  1.3667562E+00  5.8976942E-01  8.6082655E-02
  6.1985849E-01  1.3925546E+00  1.6388310E+00  1.8697508E+00  1.9294966E+00  1.9447115E+00  3.4312427E+01  2.0067344E+00  2.0513249E+00  1.8675379E+00  1.6387535E+00  1.3925276E+00  6.1985432E-01  8.8048296E-02
  6.4939297E-01  1.4178685E+00  1.6631573E+00  1.8930781E+00  1.9529151E+00  1.9682476E+00  3.4615125E+01  2.0306670E+00  2.0756212E+00  1.8908637E+00  1.6630752E+00  1.4178398E+00  6.4938843E-01  9.0023931E-02
  6.7839137E-01  1.4427343E+00  1.6870545E+00  1.9159967E+00  1.9759225E+00  1.9913695E+00  3.4908676E+01  2.0541807E+00  2.0994937E+00  1.9137809E+00  1.6869678E+00  1.4427039E+00  6.7838647E-01  9.2009671E-02
  7.0686785E-01  1.4671630E+00  1.7105329E+00  1.9385163E+00  1.9985285E+00  2.0140870E+00  3.5193383E+01  2.0772853E+00  2.1229527E+00  1.9362993E+00  1.7104416E+00  1.4671309E+00  7.0686258E-01  9.4005629E-02
  7.3483590E-01  1.4911649E+00  1.7336020E+00  1.9606458E+00  2.0207423E+00  2.0364095E+00  3.5469538E+01  2.0999903E+00  2.1460076E+00  1.9584277E+00  1.7335064E+00  1.4911313E+00  7.3483026E-01  9.6011922E-02
  7.6230873E-01  1.5147505E+00  1.7562718E+00  1.9823944E+00  2.0425731E+00  2.0583461E+00  3.5737419E+01  2.1223050E+00  2.1686680E+00  1.9801753E+00  1.7561718E+00  1.5147153E+00  7.6230272E-01  9.8028665E-02
  0.0000000E+00  3.8000000E-09  8.0340662E-09  2.4601373E-01  3.0454864E-01  3.0779237E-01  9.6614897E-01  3.4418109E-01  3.6363442E-01  2.4374507E-01  8.0996691E-09  3.9000000E-09  0.0000000E+00  8.9132883E-03
  0.0000000E+00  4.4000000E-09  1.6051995E-03  2.9120352E-01  3.4870220E-01  3.5482018E-01  2.3143336E+00  3.9202008E-01  4.1516268E-01  2.8894868E-01  1.6289309E-03  4.5000000E-09  0.0000000E+00  1.0442219E-02
  0.0000000E+00  4.9000000E-09  5.1406647E-02  3.3536708E-01  3.9338984E-01  4.0054738E-01  3.4860787E+00  4.3922927E-01  4.6414634E-01  3.3311797E-01  5.1465031E-02  5.3000000E-09  0.0000000E+00  1.1974512E-02
  0.0000000E+00  5.4000000E-09  1.0027451E-01  3.7864661E-01  4.3712809E-01  4.4520077E-01  4.6678678E+00  4.8526890E-01  5.1179034E-01  3.7639582E-01  1.0034219E-01  4.7000000E-09  0.0000000E+00  1.3511889E-02
  0.0000000E+00  4.9000000E-09  1.4768541E-01  4.2106604E-01  4.7995247E-01  4.8883908E-01  5.8376836E+00  5.3021169E-01  5.5819681E-01  4.1880947E-01  1.4775552E-01  4.9000000E-09  0.0000000E+00  1.5054388E-02
  0.0000000E+00  5.6000000E-09  1.9374810E-01  4.6262329E-01  5.2187015E-01  5.3148715E-01  6.9821926E+00  5.7409344E-01  6.0342432E-01  4.6035876E-01  1.9381625E-01  4.4000000E-09  0.0000000E+00  1.6602045E-02
  0.0000000E+00  6.9828407E-09  2.3853712E-01  5.0330986E-01  5.6288006E-01  5.7315747E-01  8.0935095E+00  6.1693544E-01  6.4751203E-01  5.0103633E-01  2.3860045E-01  6.9838507E-09  0.0000000E+00  1.8154898E-02
  0.0000000E+00  5.7576598E-03  2.8208856E-01  5.4300197E-01  6.0287486E-01  6.1376937E-01  9.2211867E+00  6.5868378E-01  6.9044758E-01  5.4071796E-01  2.8214445E-01  5.7584925E-03  0.0000000E+00  1.9712813E-02
  0.0000000E+00  5.1708294E-02  3.2476915E-01  5.8227263E-01  6.4240453E-01  6.5383905E-01  1.0156722E+01  6.9980299E-01  7.3263388E-01  5.7997825E-01  3.2481603E-01  5.1710901E-02  0.0000000E+00  2.1275749E-02
  0.0000000E+00  9.6328774E-02  3.6632710E-01  6.2064037E-01  6.8101067E-01  6.9294603E-01  1.1060545E+01  7.3992380E-01  7.7376550E-01  6.1833603E-01  3.6636441E-01  9.6331949E-02  0.0000000E+00  2.2844256E-02
  0.0000000E+00  1.3968098E-01  4.0680053E-01  6.5811822E-01  7.1870879E-01  7.3111025E-01  1.1931866E+01  7.7906879E-01  8.1387081E-01  6.5580444E-01  4.0682797E-01  1.3968383E-01  0.0000000E+00  2.4418375E-02
  0.0000000E+00  1.8182015E-01  4.4622449E-01  6.9472007E-01  7.5551492E-01  7.6835143E-01  1.2770549E+01  8.1725999E-01  8.5297685E-01  6.9239741E-01  4.4624193E-01  1.8182199E-01  0.0000000E+00  2.5998152E-02
  0.0000000E+00  2.2279717E-01  4.8463355E-01  7.3046253E-01  7.9144742E-01  8.0469119E-01  1.3576920E+01  8.5452106E-01  8.9111154E-01  7.2813159E-01  4.8464094E-01  2.2279750E-01  0.0000000E+00  2.7583630E-02
  0.0000000E+00  2.6265848E-01  5.2205919E-01  7.6536177E-01  8.2652398E-01  8.4014993E-01  1.4351609E+01  8.9087425E-01  9.2830083E-01  7.6302314E-01  5.2205662E-01  2.6265693E-01  0.0000000E+00  2.9174855E-02
  0.0000000E+00  3.0144813E-01  5.5853338E-01  7.9943651E-01  8.6076461E-01  8.7475007E-01  1.5095468E+01  9.2634361E-01  9.6457201E-01  7.9709078E-01  5.5852095E-01  3.0144442E-01  0.0000000E+00  3.0771873E-02
  0.0000000E+00  3.3920686E-01  5.9408574E-01  8.3270495E-01  8.9418862E-01  9.0851297E-01  1.5809470E+01  9.6095198E-01  9.9995076E-01  8.3035268E-01  5.9406362E-01  3.3920079E-01  0.0000000E+00  3.2374727E-02
  0.0000000E+00  3.7597388E-01  6.2874630E-01  8.6518704E-01  9.2681693E-01  9.4146138E-01  1.6494685E+01  9.9472344E-01  1.0344637E+00  8.6282879E-01  6.2871468E-01  3.7596531E-01  0.0000000E+00  3.3983464E-02
  0.0000000E+00  4.1178578E-01  6.6254315E-01  8.9690225E-01  9.5866989E-01  9.7361726E-01  1.7152211E+01  1.0276812E+00  1.0681362E+00  8.9453853E-01  6.6250223E-01  4.1177461E-01  0.0000000E+00  3.5598136E-02
  0.0000000E+00  4.4667785E-01  6.9550443E-01  9.2787089E-01  9.8976853E-01  1.0050030E+00  1.7783176E+01  1.0598488E+00  1.1009939E+00  9.2550219E-01  6.9545443E-01  4.4666400E-01  0.0000000E+00  3.7218790E-02
  0.0000000E+00  4.8068332E-01  7.2765683E-01  9.5811284E-01  1.0201334E+00  1.0356405E+00  1.8388695E+01  1.0912491E+00  1.1330613E+00  9.5573963E-01  7.2759798E-01  4.8066677E-01  0.0000000E+00  3.8845471E-02
  0.0000000E+00  5.1383392E-01  7.5902629E-01  9.8764787E-01  1.0497848E+00  1.0655511E+00  1.8969864E+01  1.1219045E+00  1.1643624E+00  9.8527059E-01  7.5895881E-01  5.1381463E-01  0.0000000E+00  4.0478232E-02
  0.0000000E+00  5.4616028E-01  7.8963834E-01  1.0164961E+00  1.0787434E+00  1.0947565E+00  1.9527762E+01  1.1518373E+00  1.1949211E+00  1.0141152E+00  7.8956246E-01  5.4613826E-01  0.0000000E+00  4.2117119E-02
  0.0000000E+00  5.7769132E-01  8.1951723E-01  1.0446769E+00  1.1070291E+00  1.1232774E+00  2.0063424E+01  1.1810693E+00  1.2247602E+00  1.0422927E+00  8.1943318E-01  5.7766659E-01  0.0000000E+00  4.3762183E-02
  0.0000000E+00  6.0845473E-01  8.4868651E-01  1.0722095E+00  1.1346615E+00  1.1511345E+00  2.0577850E+01  1.2096217E+00  1.2539023E+00  1.0698224E+00  8.4859450E-01  6.0842730E-01  0.0000000E+00  4.5413485E-02
  0.0000000E+00  6.3847713E-01  8.7716903E-01  1.0991125E+00  1.1616595E+00  1.1783470E+00  2.1072002E+01  1.2375146E+00  1.2823685E+00  1.0967229E+00  8.7706928E-01  6.3844703E-01  0.0000000E+00  4.7071058E-02
  0.0000000E+00  6.6778386E-01  9.0498669E-01  1.1254043E+00  1.1880418E+00  1.2049346E+00  2.1546799E+01  1.2647683E+00  1.3101800E+00  1.1230124E+00  9.0487941E-01  6.6775112E-01  0.0000000E+00  4.8734963E-02
  1.0349713E-08  6.9639920E-01  9.3216067E-01  1.1511028E+00  1.2138268E+00  1.2309161E+00  2.2003117E+01  1.2914021E+00  1.3373571E+00  1.1487090E+00  9.3204605E-01  6.9636386E-01  1.0349564E-08  5.0405253E-02
  1.5954355E-02  7.2426060E-01  9.5860468E-01  1.1761240E+00  1.2388562E+00  1.2562130E+00  2.2431439E+01  1.3173464E+00  1.3637621E+00  1.1737285E+00  9.5848279E-01  7.2422264E-01  1.5954125E-02  5.2079516E-02
  4.8849132E-02  7.5161887E-01  9.8461841E-01  1.2007688E+00  1.2635796E+00  1.2811154E+00  2.2791811E+01  1.3428711E+00  1.3898005E+00  1.1983719E+00  9.8448953E-01  7.5157831E-01  4.8848263E-02  5.3756467E-02
  8.0950989E-02  7.7834663E-01  1.0100377E+00  1.2248575E+00  1.2877437E+00  1.3054518E+00  2.3138735E+01  1.3678194E+00  1.4152516E+00  1.2224594E+00  1.0099020E+00  7.7830352E-01  8.0949468E-02  5.5441180E-02
  1.1228852E-01  8.0446396E-01  1.0348808E+00  1.2484063E+00  1.3113650E+00  1.3292391E+00  2.3472739E+01  1.3922084E+00  1.4401331E+00  1.2460073E+00  1.0347384E+00  8.0441835E-01  1.1228633E-01  5.7133733E-02
  1.4288878E-01  8.2999024E-01  1.0591654E+00  1.2714315E+00  1.3344598E+00  1.3524939E+00  2.3794337E+01  1.4160551E+00  1.4644624E+00  1.2690318E+00  1.0590166E+00  8.2994217E-01  1.4288594E-01  5.8834207E-02
  1.7277760E-01  8.5494407E-01  1.0829087E+00  1.2939483E+00  1.3570437E+00  1.3752319E+00  2.4104021E+01  1.4393756E+00  1.4882560E+00  1.2915481E+00  1.0827535E+00  8.5489358E-01  1.7277409E-01  6.0542684E-02
  2.0197933E-01  8.7934304E-01  1.1061268E+00  1.3159713E+00  1.3791313E+00  1.3974684E+00  2.4402259E+01  1.4621853E+00  1.5115297E+00  1.3135709E+00  1.1059654E+00  8.7929019E-01  2.0197515E-01  6.2259244E-02
  2.3051741E-01  9.0320452E-01  1.1288357E+00  1.3375154E+00  1.4007376E+00  1.4192182E+00  2.4689513E+01  1.4844994E+00  1.5342992E+00  1.3351148E+00  1.1286682E+00  9.0314934E-01  2.3051257E-01  6.3983975E-02
  2.5841399E-01  9.2654473E-01  1.1510504E+00  1.3585940E+00  1.4218762E+00  1.4404955E+00  2.4966212E+01  1.5063322E+00  1.5565792E+00  1.3561935E+00  1.1508770E+00  9.2648728E-01  2.5840848E-01  6.5716958E-02
  2.8569023E-01  9.4937944E-01  1.1727855E+00  1.3792205E+00  1.4425606E+00  1.4613139E+00  2.5232771E+01  1.5276977E+00  1.5783840E+00  1.3768204E+00  1.1726063E+00  9.4931975E-01  2.8568406E-01  6.7458282E-02
  3.1236629E-01  9.7172373E-01  1.1940549E+00  1.3994079E+00  1.4628038E+00  1.4816866E+00  2.5489587E+01  1.5486093E+00  1.5997271E+00  1.3970081E+00  1.1938702E+00  9.7166185E-01  3.1235946E-01  6.9208036E-02
  3.3846147E-01  9.9359210E-01  1.2148722E+00  1.4191684E+00  1.4826183E+00  1.5016263E+00  2.5737041E+01  1.5690798E+00  1.6206220E+00  1.4167692E+00  1.2146820E+00  9.9352808E-01  3.3845400E-01  7.0966306E-02
  3.6399412E-01  1.0149984E+00  1.2352503E+00  1.4385139E+00  1.5020160E+00  1.5211450E+00  2.5975492E+01  1.5891217E+00  1.6410812E+00  1.4361155E+00  1.2350546E+00  1.0149323E+00  3.6398601E-01  7.2733186E-02
  3.8898206E-01  1.0359563E+00  1.2552018E+00  1.4574562E+00  1.5210089E+00  1.5402550E+00  2.6205296E+01  1.6087472E+00  1.6611173E+00  1.4550587E+00  1.2550008E+00  1.0358881E+00  3.8897331E-01  7.4508767E-02
  4.1344202E-01  1.0564786E+00  1.2747387E+00  1.4760064E+00  1.5396080E+00  1.5589674E+00  2.6426783E+01  1.6279678E+00  1.6807420E+00  1.4736099E+00  1.2745326E+00  1.0564084E+00  4.1343264E-01  7.6293145E-02
  4.3739016E-01  1.0765777E+00  1.2938727E+00  1.4941752E+00  1.5578241E+00  1.5772932E+00  2.6640269E+01  1.6467947E+00  1.6999667E+00  1.4917798E+00  1.2936615E+00  1.0765055E+00  4.3738017E-01  7.8086414E-02
  4.6084196E-01  1.0962655E+00  1.3126148E+00  1.5119729E+00  1.5756677E+00  1.5952431E+00  2.6846060E+01  1.6652386E+00  1.7188025E+00  1.5095788E+00  1.3123988E+00  1.0961914E+00  4.6083135E-01  7.9888671E-02
  4.8381222E-01  1.1155536E+00  1.3309760E+00  1.5294096E+00  1.5931490E+00  1.6128272E+00  2.7044445E+01  1.6833100E+00  1.7372599E+00  1.5270169E+00  1.3307551E+00  1.1154776E+00  4.8380101E-01  8.1700014E-02
  5.0631521E-01  1.1344531E+00  1.3489666E+00  1.5464951E+00  1.6102777E+00  1.6300555E+00  2.7235705E+01  1.7010189E+00  1.7553494E+00  1.5441039E+00  1.3487409E+00  1.1343752E+00  5.0630340E-01  8.3520544E-02
  5.2836449E-01  1.1529746E+00  1.3665965E+00  1.5632386E+00  1.6270631E+00  1.6469375E+00  2.7420100E+01  1.7183750E+00  1.7730806E+00  1.5608490E+00  1.3663663E+00  1.1528949E+00  5.2835210E-01  8.5350366E-02
  5.4997333E-01  1.1711285E+00  1.3838758E+00  1.5796494E+00  1.6435146E+00  1.6634825E+00  2.7597892E+01  1.7353879E+00  1.7904635E+00  1.5772614E+00  1.3836410E+00  1.1710470E+00  5.4996037E-01  8.7189578E-02
  5.7115418E-01  1.1889247E+00  1.4008134E+00  1.5957359E+00  1.6596408E+00  1.6796994E+00  2.7769324E+01  1.7520665E+00  1.8075069E+00  1.5933498E+00  1.4005742E+00  1.1888415E+00  5.7114065E-01  8.9038291E-02
  5.9191926E-01  1.2063729E+00  1.4174188E+00  1.6115069E+00  1.6754503E+00  1.6955968E+00  2.7934626E+01  1.7684196E+00  1.8242202E+00  1.6091226E+00  1.4171752E+00  1.2062879E+00  5.9190518E-01  9.0896608E-02
  0.0000000E+00  3.6000000E-09  1.7175704E-08  2.1827548E-01  2.8011567E-01  2.9246316E-01  1.2583158E+00  3.2863730E-01  3.5960383E-01  2.1575368E-01  1.7202034E-08  3.4000000E-09  0.0000000E+00  8.8438707E-03
  0.0000000E+00  4.7000000E-09  6.1814430E-03  2.5845896E-01  3.2143668E-01  3.3460353E-01  2.4559773E+00  3.7323468E-01  4.0594961E-01  2.5594026E-01  6.1909484E-03  4.2000000E-09  0.0000000E+00  1.0247359E-02
  0.0000000E+00  5.0000000E-09  5.1268317E-02  2.9779988E-01  3.6089565E-01  3.7515901E-01  3.5034859E+00  4.1576108E-01  4.5043508E-01  2.9527753E-01  5.1276159E-02  4.3000000E-09  0.0000000E+00  1.1654720E-02
  0.0000000E+00  5.3000000E-09  9.4394893E-02  3.3585770E-01  3.9908100E-01  4.1427505E-01  4.5345172E+00  4.5672863E-01  4.9314602E-01  3.3332826E-01  9.4394900E-02  5.0000000E-09  0.0000000E+00  1.3066745E-02
  0.0000000E+00  5.7000000E-09  1.3579156E-01  3.7272533E-01  4.3607895E-01  4.5207346E-01  5.5347795E+00  4.9627300E-01  5.3425971E-01  3.7018749E-01  1.3578035E-01  5.2000000E-09  0.0000000E+00  1.4483466E-02
  0.0000000E+00  5.2000000E-09  1.7561685E-01  4.0846137E-01  4.7194445E-01  4.8863538E-01  6.4967084E+00  5.3448706E-01  5.7390029E-01  4.0591495E-01  1.7559262E-01  4.6000000E-09  0.0000000E+00  1.5904918E-02
  0.0000000E+00  9.4617670E-09  2.1398924E-01  4.4310934E-01  5.0671905E-01  5.2402186E-01  7.4167371E+00  5.7144180E-01  6.1216273E-01  4.4055475E-01  2.1395115E-01  9.4604297E-09  0.0000000E+00  1.7331134E-02
  0.0000000E+00  7.8016161E-03  2.5096564E-01  4.7658115E-01  5.4031967E-01  5.5817974E-01  8.3334513E+00  6.0712205E-01  6.4907849E-01  4.7401827E-01  2.5091269E-01  7.8005135E-03  0.0000000E+00  1.8761987E-02
  0.0000000E+00  4.6752951E-02  2.8690338E-01  5.0942220E-01  5.7327553E-01  5.9161018E-01  9.0839273E+00  6.4195196E-01  6.8501104E-01  5.0685178E-01  2.8683544E-01  4.6747820E-02  0.0000000E+00  2.0197428E-02
  0.0000000E+00  8.4315610E-02  3.2164280E-01  5.4126415E-01  6.0522825E-01  6.2399299E-01  9.8007361E+00  6.7568353E-01  7.1978073E-01  5.3868715E-01  3.2156019E-01  8.4306040E-02  0.0000000E+00  2.1637977E-02
  0.0000000E+00  1.2057127E-01  3.5524475E-01  5.7214514E-01  6.3621585E-01  6.5537211E-01  1.0484418E+01  7.0836403E-01  7.5344229E-01  5.6956250E-01  3.5514788E-01  1.2055703E-01  0.0000000E+00  2.3083673E-02
  0.0000000E+00  1.5559273E-01  3.8776329E-01  6.0210014E-01  6.6627327E-01  6.8578740E-01  1.1135887E+01  7.4003641E-01  7.8604491E-01  5.9951273E-01  3.8765263E-01  1.5557369E-01  0.0000000E+00  2.4534557E-02
  0.0000000E+00  1.8944538E-01  4.1924808E-01  6.3116255E-01  6.9543393E-01  7.1527643E-01  1.1756281E+01  7.7074099E-01  8.1763422E-01  6.2857122E-01  4.1912411E-01  1.8942151E-01  0.0000000E+00  2.5990668E-02
  0.0000000E+00  2.2218953E-01  4.4974658E-01  6.5936595E-01  7.2373149E-01  7.4387631E-01  1.2346881E+01  8.0051742E-01  8.4825440E-01  6.5677149E-01  4.4960980E-01  2.2216086E-01  0.0000000E+00  2.7452048E-02
  0.0000000E+00  2.5387976E-01  4.7930159E-01  6.8674119E-01  7.5119691E-01  7.7162093E-01  1.2909019E+01  8.2940192E-01  8.7794554E-01  6.8414431E-01  4.7915249E-01  2.5384634E-01  0.0000000E+00  2.8918739E-02
  0.0000000E+00  2.8456732E-01  5.0795466E-01  7.1331945E-01  7.7786148E-01  7.9854409E-01  1.3444061E+01  8.5743037E-01  9.0674690E-01  7.1072082E-01  5.0779372E-01  2.8452925E-01  0.0000000E+00  3.0390782E-02
  0.0000000E+00  3.1429901E-01  5.3574375E-01  7.3912960E-01  8.0375420E-01  8.2467695E-01  1.3953352E+01  8.8463585E-01  9.3469451E-01  7.3652983E-01  5.3557143E-01  3.1425640E-01  0.0000000E+00  3.1868218E-02
  0.0000000E+00  3.4311925E-01  5.6270577E-01  7.6420071E-01  8.2890432E-01  8.5005063E-01  1.4438215E+01  9.1105135E-01  9.6182391E-01  7.6160037E-01  5.6252252E-01  3.4307221E-01  0.0000000E+00  3.3351097E-02
  0.0000000E+00  3.7106877E-01  5.8887467E-01  7.8855962E-01  8.5333884E-01  8.7469372E-01  1.4899917E+01  9.3670703E-01  9.8816757E-01  7.8595924E-01  5.8868092E-01  3.7101743E-01  0.0000000E+00  3.4839457E-02
  0.0000000E+00  3.9818645E-01  6.1428340E-01  8.1223311E-01  8.7708463E-01  8.9863453E-01  1.5339686E+01  9.6163273E-01  1.0137573E+00  8.0963315E-01  6.1407956E-01  3.9813094E-01  0.0000000E+00  3.6333344E-02
  0.0000000E+00  4.2450831E-01  6.3896266E-01  8.3524633E-01  9.0016702E-01  9.2189959E-01  1.5758685E+01  9.8585638E-01  1.0386228E+00  8.3264723E-01  6.3874913E-01  4.2444876E-01  0.0000000E+00  3.7832803E-02
  0.0000000E+00  4.5006836E-01  6.6294173E-01  8.5762358E-01  9.2261042E-01  9.4451442E-01  1.6158019E+01  1.0094048E+00  1.0627925E+00  8.5502575E-01  6.6271887E-01  4.5000490E-01  0.0000000E+00  3.9337879E-02
  0.0000000E+00  4.7489851E-01  6.8624825E-01  8.7938806E-01  9.4443819E-01  9.6650334E-01  1.6538731E+01  1.0323034E+00  1.0862933E+00  8.7679186E-01  6.8601640E-01  4.7483127E-01  0.0000000E+00  4.0848616E-02
  0.0000000E+00  4.9902932E-01  7.0890897E-01  9.0056273E-01  9.6567344E-01  9.8789033E-01  1.6901821E+01  1.0545775E+00  1.1091517E+00  8.9796851E-01  7.0866848E-01  4.9895843E-01  0.0000000E+00  4.2365071E-02
  0.0000000E+00  5.2248908E-01  7.3094867E-01  9.2116834E-01  9.8633697E-01  1.0086969E+00  1.7248213E+01  1.0762495E+00  1.1313913E+00  9.1857640E-01  7.3069984E-01  5.2241466E-01  0.0000000E+00  4.3887274E-02
  0.0000000E+00  5.4530482E-01  7.5239124E-01  9.4122572E-01  1.0064498E+00  1.0289447E+00  1.7578790E+01  1.0973421E+00  1.1530357E+00  9.3863635E-01  7.5213438E-01  5.4522697E-01  0.0000000E+00  4.5415280E-02
  8.5901871E-09  5.6750191E-01  7.7325920E-01  9.6075436E-01  1.0260314E+00  1.0486541E+00  1.7894373E+01  1.1178764E+00  1.1741072E+00  9.5816782E-01  7.7299460E-01  5.6742076E-01  8.5898708E-09  4.6949138E-02
  1.3241998E-02  5.8902956E-01  7.9347981E-01  9.7968402E-01  1.0449426E+00  1.0677585E+00  1.8185082E+01  1.1377981E+00  1.1944886E+00  9.7710055E-01  7.9320761E-01  5.8894516E-01  1.3241511E-02  4.8486599E-02
  3.9027815E-02  6.1010432E-01  8.1331477E-01  9.9827673E-01  1.0635836E+00  1.0865128E+00  1.8424336E+01  1.1573347E+00  1.2145327E+00  9.9569648E-01  8.1303533E-01  6.1001679E-01  3.9026010E-02  5.0026454E-02
  6.4119449E-02  6.3062407E-01  8.3262797E-01  1.0163825E+00  1.0817357E+00  1.1047726E+00  1.8652957E+01  1.1763618E+00  1.2340563E+00  1.0138057E+00  8.3234151E-01  6.3053349E-01  6.4116361E-02  5.1573421E-02
  8.8544298E-02  6.5060889E-01  8.5143788E-01  1.0340182E+00  1.0994159E+00  1.1225553E+00  1.8871431E+01  1.1948970E+00  1.2530776E+00  1.0314451E+00  8.5114462E-01  6.5051535E-01  8.8539963E-02  5.3127572E-02
  1.1232839E-01  6.7007836E-01  8.6976256E-01  1.0512003E+00  1.1166405E+00  1.1398775E+00  1.9080233E+01  1.2129575E+00  1.2716143E+00  1.0486309E+00  8.6946271E-01  6.6998195E-01  1.1232285E-01  5.4688982E-02
  1.3549627E-01  6.8905071E-01  8.8761883E-01  1.0679440E+00  1.1334251E+00  1.1567552E+00  1.9279801E+01  1.2305598E+00  1.2896834E+00  1.0653787E+00  8.8731258E-01  6.8895152E-01  1.3548954E-01  5.6257722E-02
  1.5807118E-01  7.0754348E-01  9.0502290E-01  1.0842643E+00  1.1497846E+00  1.1732035E+00  1.9470554E+01  1.2477193E+00  1.3073007E+00  1.0817031E+00  9.0471044E-01  7.0744158E-01  1.5806331E-01  5.7833870E-02
  1.8007513E-01  7.2557333E-01  9.2199020E-01  1.1001752E+00  1.1657332E+00  1.1892367E+00  1.9652892E+01  1.2644509E+00  1.3244815E+00  1.0976184E+00  9.2167171E-01  7.2546880E-01  1.8006615E-01  5.9417502E-02
  2.0152913E-01  7.4315619E-01  9.3853550E-01  1.1156904E+00  1.1812845E+00  1.2048688E+00  1.9827194E+01  1.2807689E+00  1.3412405E+00  1.1131380E+00  9.3821115E-01  7.4304911E-01  2.0151906E-01  6.1008694E-02
  2.2245286E-01  7.6030708E-01  9.5467277E-01  1.1308227E+00  1.1964514E+00  1.2201129E+00  1.9993813E+01  1.2966868E+00  1.3575915E+00  1.1282748E+00  9.5434273E-01  7.6019753E-01  2.2244174E-01  6.2607527E-02
  2.4286535E-01  7.7704078E-01  9.7041574E-01  1.1455847E+00  1.2112466E+00  1.2349819E+00  2.0153102E+01  1.3122179E+00  1.3735482E+00  1.1430415E+00  9.7008015E-01  7.7692882E-01  2.4285322E-01  6.4214082E-02
  2.6278455E-01  7.9337104E-01  9.8577722E-01  1.1599884E+00  1.2256821E+00  1.2494879E+00  2.0305380E+01  1.3273746E+00  1.3891233E+00  1.1574500E+00  9.8543626E-01  7.9325673E-01  2.6277142E-01  6.5828438E-02
  2.8222753E-01  8.0931110E-01  1.0007696E+00  1.1740450E+00  1.2397692E+00  1.2636425E+00  2.0450954E+01  1.3421689E+00  1.4043290E+00  1.1715115E+00  1.0004234E+00  8.0919451E-01  2.8221344E-01  6.7450680E-02
  3.0121053E-01  8.2487363E-01  1.0154046E+00  1.1877656E+00  1.2535191E+00  1.2774569E+00  2.0590117E+01  1.3566122E+00  1.4191772E+00  1.1852371E+00  1.0150533E+00  8.2475483E-01  3.0119550E-01  6.9080891E-02
  3.1974915E-01  8.4007077E-01  1.0296937E+00  1.2011607E+00  1.2669423E+00  1.2909417E+00  2.0723147E+01  1.3707156E+00  1.4336790E+00  1.1986372E+00  1.0293374E+00  8.3994981E-01  3.1973321E-01  7.0719158E-02
  3.3785819E-01  8.5491416E-01  1.0436477E+00  1.2142403E+00  1.2800489E+00  1.3041074E+00  2.0850308E+01  1.3844898E+00  1.4478454E+00  1.2117220E+00  1.0432866E+00  8.5479109E-01  3.3784136E-01  7.2365568E-02
  3.5555167E-01  8.6941477E-01  1.0572770E+00  1.2270141E+00  1.2928485E+00  1.3169636E+00  2.0971845E+01  1.3979446E+00  1.4616866E+00  1.2245011E+00  1.0569111E+00  8.6928965E-01  3.5553398E-01  7.4020208E-02
  3.7284331E-01  8.8358352E-01  1.0705916E+00  1.2394916E+00  1.3053508E+00  1.3295199E+00  2.1088007E+01  1.4110900E+00  1.4752127E+00  1.2369838E+00  1.0702212E+00  8.8345641E-01  3.7282477E-01  7.5683169E-02
  3.8974595E-01  8.9743056E-01  1.0836012E+00  1.2516816E+00  1.3175646E+00  1.3417855E+00  2.1199017E+01  1.4239355E+00  1.4884334E+00  1.2491792E+00  1.0832264E+00  8.9730150E-01  3.8972660E-01  7.7354541E-02
  4.0627194E-01  9.1096567E-01  1.0963150E+00  1.2635928E+00  1.3294985E+00  1.3537691E+00  2.1305089E+01  1.4364898E+00  1.5013576E+00  1.2610958E+00  1.0959358E+00  9.1083473E-01  4.0625180E-01  7.9034421E-02
  4.2243311E-01  9.2419830E-01  1.1087418E+00  1.2752333E+00  1.3411609E+00  1.3654790E+00  2.1406429E+01  1.4487618E+00  1.5139943E+00  1.2727418E+00  1.1083583E+00  9.2406551E-01  4.2241219E-01  8.0722899E-02
  4.3824077E-01  9.3713746E-01  1.1208902E+00  1.2866112E+00  1.3525598E+00  1.3769233E+00  2.1503234E+01  1.4607595E+00  1.5263520E+00  1.2841253E+00  1.1205025E+00  9.3700287E-01  4.3821910E-01  8.2420075E-02
  4.5370581E-01  9.4979190E-01  1.1327682E+00  1.2977341E+00  1.3637028E+00  1.3881099E+00  2.1595687E+01  1.4724913E+00  1.5384389E+00  1.2952537E+00  1.1323765E+00  9.4965555E-01  4.5368341E-01  8.4126043E-02
  0.0000000E+00  5.3000000E-09  3.0568215E-08  1.9341423E-01  2.5609957E-01  2.7844693E-01  1.4847534E+00  3.1586591E-01  3.5921616E-01  1.9065718E-01  3.0501072E-08  3.9000000E-09  0.0000000E+00  8.8663881E-03
  0.0000000E+00  5.9000000E-09  1.1055730E-02  2.2932042E-01  2.9250709E-01  3.1623624E-01  2.5679920E+00  3.5606185E-01  4.0191056E-01  2.2654734E-01  1.1031399E-02  4.8000000E-09  0.0000000E+00  1.0153290E-02
  0.0000000E+00  4.3000000E-09  5.0899211E-02  2.6386560E-01  3.2737752E-01  3.5157347E-01  3.4864296E+00  3.9451914E-01  4.4189717E-01  2.6108256E-01  5.0847999E-02  5.8000000E-09  0.0000000E+00  1.1440698E-02
  0.0000000E+00  5.3000000E-09  8.8550019E-02  2.9684319E-01  3.6066727E-01  3.8523599E-01  4.3686108E+00  4.3104860E-01  4.7980034E-01  2.9405118E-01  8.8471742E-02  5.3000000E-09  0.0000000E+00  1.2732362E-02
  0.0000000E+00  5.6000000E-09  1.2428743E-01  3.2840630E-01  3.9252492E-01  4.1739605E-01  5.2070711E+00  4.6585933E-01  5.1585986E-01  3.2560697E-01  1.2418298E-01  4.8000000E-09  0.0000000E+00  1.4028314E-02
  0.0000000E+00  4.9000000E-09  1.5831394E-01  3.5866532E-01  4.2305945E-01  4.4817932E-01  5.9991414E+00  4.9910679E-01  5.5025403E-01  3.5586052E-01  1.5818467E-01  5.3000000E-09  0.0000000E+00  1.5328587E-02
  0.0000000E+00  1.1102195E-08  1.9078639E-01  3.8770808E-01  4.5235883E-01  4.7768573E-01  6.7447749E+00  5.3091510E-01  5.8312429E-01  3.8489959E-01  1.9063383E-01  1.1098236E-08  0.0000000E+00  1.6633210E-02
  0.0000000E+00  9.1542009E-03  2.2177707E-01  4.1547257E-01  4.8037244E-01  5.0587772E-01  7.4729539E+00  5.6131599E-01  6.1453583E-01  4.1266169E-01  2.2160220E-01  9.1509365E-03  0.0000000E+00  1.7942057E-02
  0.0000000E+00  4.1799851E-02  2.5163721E-01  4.4248437E-01  5.0760029E-01  5.3325011E-01  8.0602480E+00  5.9068411E-01  6.4481797E-01  4.3967223E-01  2.5144154E-01  4.1786139E-02  0.0000000E+00  1.9255076E-02
  0.0000000E+00  7.3053287E-02  2.8028142E-01  4.6846502E-01  5.3378290E-01  5.5955746E-01  8.6142489E+00  6.1889148E-01  6.7389405E-01  4.6565300E-01  2.8006626E-01  7.3029668E-02  0.0000000E+00  2.0572758E-02
  0.0000000E+00  1.0301112E-01  3.0778631E-01  4.9347005E-01  5.5897663E-01  5.8485941E-01  9.1364567E+00  6.4600598E-01  7.0183707E-01  4.9065935E-01  3.0755287E-01  1.0297814E-01  0.0000000E+00  2.1895138E-02
  0.0000000E+00  1.3175853E-01  3.3421982E-01  5.1754969E-01  5.8323258E-01  6.0920966E-01  9.6285004E+00  6.7208857E-01  7.2871229E-01  5.1474140E-01  3.3396923E-01  1.3171673E-01  0.0000000E+00  2.3222255E-02
  0.0000000E+00  1.5937216E-01  3.5964480E-01  5.4075174E-01  6.0659938E-01  6.3265897E-01  1.0092060E+01  6.9719641E-01  7.5458044E-01  5.3794682E-01  3.5937811E-01  1.5932205E-01  0.0000000E+00  2.4554144E-02
  0.0000000E+00  1.8592106E-01  3.8411807E-01  5.6312014E-01  6.2912173E-01  6.5525380E-01  1.0528807E+01  7.2138159E-01  7.7949669E-01  5.6031942E-01  3.8383623E-01  1.8586312E-01  0.0000000E+00  2.5890844E-02
  0.0000000E+00  2.1146746E-01  4.0769102E-01  5.8469516E-01  6.5084065E-01  6.7703657E-01  1.0940357E+01  7.4469161E-01  8.0351116E-01  5.8189938E-01  4.0739491E-01  2.1140212E-01  0.0000000E+00  2.7232391E-02
  0.0000000E+00  2.3606879E-01  4.3041210E-01  6.0551561E-01  6.7179562E-01  6.9804794E-01  1.1328271E+01  7.6717160E-01  8.2667125E-01  6.0272543E-01  4.3010255E-01  2.3599650E-01  0.0000000E+00  2.8578823E-02
  0.0000000E+00  2.5977726E-01  4.5232538E-01  6.2561717E-01  6.9202295E-01  7.1832520E-01  1.1694022E+01  7.8886290E-01  8.4902027E-01  6.2283317E-01  4.5200313E-01  2.5969840E-01  0.0000000E+00  2.9930177E-02
  0.0000000E+00  2.8264083E-01  4.7347178E-01  6.4503340E-01  7.1155684E-01  7.3790341E-01  1.2039000E+01  8.0980426E-01  8.7059871E-01  6.4225609E-01  4.7313752E-01  2.8255577E-01  0.0000000E+00  3.1286500E-02
  0.0000000E+00  3.0470438E-01  4.9389006E-01  6.6379650E-01  7.3043000E-01  7.5681596E-01  1.2364519E+01  8.3003231E-01  8.9144475E-01  6.6102632E-01  4.9354443E-01  3.0461346E-01  0.0000000E+00  3.2647827E-02
  0.0000000E+00  3.2600895E-01  5.1361569E-01  6.8193618E-01  7.4867263E-01  7.7509363E-01  1.2671797E+01  8.4958083E-01  9.1159349E-01  6.7917352E-01  5.1325929E-01  3.2591248E-01  0.0000000E+00  3.4014198E-02
  0.0000000E+00  3.4659254E-01  5.3268174E-01  6.9948037E-01  7.6631316E-01  7.9276537E-01  1.2961971E+01  8.6848146E-01  9.3107777E-01  6.9672558E-01  5.3231511E-01  3.4649081E-01  0.0000000E+00  3.5385653E-02
  0.0000000E+00  3.6649108E-01  5.5111982E-01  7.1645607E-01  7.8337897E-01  8.0985899E-01  1.3236112E+01  8.8676448E-01  9.4992895E-01  7.1370945E-01  5.5074348E-01  3.6638437E-01  0.0000000E+00  3.6762235E-02
  0.0000000E+00  3.8573757E-01  5.6895899E-01  7.3288817E-01  7.9989538E-01  8.2640020E-01  1.3495207E+01  9.0445788E-01  9.6817598E-01  7.3015000E-01  5.6857339E-01  3.8562613E-01  0.0000000E+00  3.8143983E-02
  0.0000000E+00  4.0436282E-01  5.8622647E-01  7.4880038E-01  8.1588650E-01  8.4241342E-01  1.3740174E+01  9.2158818E-01  9.8584629E-01  7.4607089E-01  5.8583206E-01  4.0424689E-01  0.0000000E+00  3.9530950E-02
  0.0000000E+00  4.2239601E-01  6.0294825E-01  7.6421495E-01  8.3137481E-01  8.5792139E-01  1.3971874E+01  9.3817995E-01  1.0029652E+00  7.6149433E-01  6.0254544E-01  4.2227580E-01  0.0000000E+00  4.0923161E-02
  0.0000000E+00  4.3986413E-01  6.1914842E-01  7.7915310E-01  8.4638190E-01  8.7294597E-01  1.4191101E+01  9.5425684E-01  1.0195570E+00  7.7644155E-01  6.1873759E-01  4.3973985E-01  0.0000000E+00  4.2320668E-02
  7.0238550E-09  4.5679260E-01  6.3484971E-01  7.9363481E-01  8.6092804E-01  8.8750764E-01  1.4398598E+01  9.6984094E-01  1.0356446E+00  7.9093248E-01  6.3443122E-01  4.5666445E-01  7.0233661E-09  4.3723514E-02
  1.0827455E-02  4.7313996E-01  6.4999040E-01  8.0760066E-01  8.7489087E-01  9.0154922E-01  1.4584622E+01  9.8489124E-01  1.0511288E+00  8.0490778E-01  6.4956448E-01  4.7300807E-01  1.0826702E-02  4.5129604E-02
  3.0758678E-02  4.8909179E-01  6.6479772E-01  8.2127789E-01  8.8862386E-01  9.1529391E-01  1.4732632E+01  9.9959600E-01  1.0663131E+00  8.1859442E-01  6.6436480E-01  4.8895636E-01  3.0755922E-02  4.6537797E-02
  5.0094319E-02  5.0456678E-01  6.7915908E-01  8.3454139E-01  9.0193950E-01  9.2861983E-01  1.4872587E+01  1.0138590E+00  1.0810472E+00  8.3186743E-01  6.7871943E-01  5.0442795E-01  5.0089646E-02  4.7952478E-02
  6.8860096E-02  5.1958435E-01  6.9309235E-01  8.4740744E-01  9.1485427E-01  9.4154359E-01  1.5004911E+01  1.0276978E+00  1.0953488E+00  8.4474310E-01  6.9264622E-01  5.1944225E-01  6.8853587E-02  4.9373712E-02
  8.7080096E-02  5.3416292E-01  7.0661453E-01  8.5989160E-01  9.2738390E-01  9.5408102E-01  1.5130003E+01  1.0411291E+00  1.1092352E+00  8.5723699E-01  7.0616217E-01  5.3401769E-01  8.7071829E-02  5.0801568E-02
  1.0477711E-01  5.4831995E-01  7.1974180E-01  8.7200864E-01  9.3954332E-01  9.6624713E-01  1.5248241E+01  1.0541688E+00  1.1227223E+00  8.6936383E-01  7.1928343E-01  5.4817171E-01  1.0476716E-01  5.2236113E-02
  1.2197249E-01  5.6207183E-01  7.3248929E-01  8.8377243E-01  9.5134655E-01  9.7805604E-01  1.5359975E+01  1.0668318E+00  1.1358255E+00  8.8113748E-01  7.3202513E-01  5.6192069E-01  1.2196092E-01  5.3677414E-02
  1.3868660E-01  5.7543454E-01  7.4487185E-01  8.9519659E-01  9.6280736E-01  9.8952159E-01  1.5465551E+01  1.0791325E+00  1.1485595E+00  8.9257157E-01  7.4440210E-01  5.7528060E-01  1.3867349E-01  5.5125540E-02
  1.5493856E-01  5.8842275E-01  7.5690309E-01  9.0629365E-01  9.7393843E-01  1.0006565E+00  1.5565279E+01  1.0910846E+00  1.1609381E+00  9.0367861E-01  7.5642796E-01  5.8826613E-01  1.5492395E-01  5.6580563E-02
  1.7074649E-01  6.0105066E-01  7.6859621E-01  9.1707575E-01  9.8475201E-01  1.0114731E+00  1.5659455E+01  1.1027009E+00  1.1729745E+00  9.1447072E-01  7.6811588E-01  6.0089145E-01  1.7073046E-01  5.8042554E-02
  1.8612753E-01  6.1333165E-01  7.7996365E-01  9.2755433E-01  9.9525968E-01  1.0219831E+00  1.5748360E+01  1.1139938E+00  1.1846812E+00  9.2495936E-01  7.7947829E-01  6.1316994E-01  1.8611013E-01  5.9511587E-02
  2.0109792E-01  6.2527848E-01  7.9101728E-01  9.3774036E-01  1.0054725E+00  1.0321975E+00  1.5832256E+01  1.1249748E+00  1.1960701E+00  9.3515547E-01  7.9052706E-01  6.2511436E-01  2.0107920E-01  6.0987734E-02
  2.1567304E-01  6.3690315E-01  8.0176828E-01  9.4764417E-01  1.0154010E+00  1.0421269E+00  1.5911389E+01  1.1356552E+00  1.2071525E+00  9.4506939E-01  8.0127337E-01  6.3673671E-01  2.1565305E-01  6.2471076E-02
  2.2986766E-01  6.4821748E-01  8.1222772E-01  9.5727595E-01  1.0250553E+00  1.0517815E+00  1.5986002E+01  1.1460457E+00  1.2179395E+00  9.5471129E-01  8.1172826E-01  6.4804880E-01  2.2984645E-01  6.3961680E-02
  2.4369565E-01  6.5923238E-01  8.2240571E-01  9.6664513E-01  1.0344451E+00  1.0611710E+00  1.6056312E+01  1.1561565E+00  1.2284413E+00  9.6409060E-01  8.2190185E-01  6.5906152E-01  2.4367327E-01  6.5459631E-02
  2.5717022E-01  6.6995831E-01  8.3231207E-01  9.7576076E-01  1.0435794E+00  1.0703045E+00  1.6122529E+01  1.1659972E+00  1.2386677E+00  9.7321637E-01  8.3180396E-01  6.6978537E-01  2.5714669E-01  6.6965007E-02
  2.7030397E-01  6.8040533E-01  8.4195619E-01  9.8463154E-01  1.0524672E+00  1.0791909E+00  1.6184850E+01  1.1755771E+00  1.2486282E+00  9.8209728E-01  8.4144395E-01  6.8023036E-01  2.7027936E-01  6.8477887E-02
  2.8310887E-01  6.9058295E-01  8.5134695E-01  9.9326574E-01  1.0611166E+00  1.0878385E+00  1.6243462E+01  1.1849050E+00  1.2583319E+00  9.9074162E-01  8.5083072E-01  6.9040602E-01  2.8308320E-01  6.9998352E-02
  2.9559639E-01  7.0050035E-01  8.6049297E-01  1.0016714E+00  1.0695358E+00  1.0962554E+00  1.6298542E+01  1.1939894E+00  1.2677873E+00  9.9915737E-01  8.5997286E-01  7.0032152E-01  2.9556971E-01  7.1526487E-02
  3.0777726E-01  7.1016610E-01  8.6940222E-01  1.0098558E+00  1.0777323E+00  1.1044491E+00  1.6350251E+01  1.2028383E+00  1.2770025E+00  1.0073519E+00  8.6887835E-01  7.0998543E-01  3.0774959E-01  7.3062374E-02
  3.1966209E-01  7.1958878E-01  8.7808279E-01  1.0178266E+00  1.0857137E+00  1.1124273E+00  1.6398757E+01  1.2114596E+00  1.2859856E+00  1.0153328E+00  8.7755529E-01  7.1940634E-01  3.1963348E-01  7.4606101E-02
  3.3126073E-01  7.2877626E-01  8.8654206E-01  1.0255905E+00  1.0934868E+00  1.1201968E+00  1.6444205E+01  1.2198606E+00  1.2947442E+00  1.0231069E+00  8.8601102E-01  7.2859209E-01  3.3123120E-01  7.6157756E-02
  3.4258264E-01  7.3773616E-01  8.9478717E-01  1.0331544E+00  1.1010585E+00  1.1277646E+00  1.6486737E+01  1.2280486E+00  1.3032854E+00  1.0306808E+00  8.9425269E-01  7.3755033E-01  3.4255223E-01  7.7717423E-02
  0.0000000E+00  2.3000000E-09  4.2159087E-08  1.6984485E-01  2.3507785E-01  2.6483501E-01  1.6712410E+00  3.0873914E-01  3.6209278E-01  1.6689464E-01  4.1988299E-08  1.7000000E-09  0.0000000E+00  8.9718599E-03
  0.0000000E+00  3.4000000E-09  1.5274933E-02  2.0156553E-01  2.6816960E-01  2.9636297E-01  2.6376791E+00  3.4685691E-01  4.0012318E-01  1.9859652E-01  1.5213094E-02  3.7000000E-09  0.0000000E+00  1.0138309E-02
  0.0000000E+00  4.2000000E-09  5.0060888E-02  2.3147985E-01  2.9862551E-01  3.2668834E-01  3.4260377E+00  3.8139914E-01  4.3586339E-01  2.2849673E-01  4.9944937E-02  3.8000000E-09  0.0000000E+00  1.1308815E-02
  0.0000000E+00  3.4000000E-09  8.2512076E-02  2.5964120E-01  3.2725865E-01  3.5520382E-01  4.1645944E+00  4.1371019E-01  4.6930675E-01  2.5664999E-01  8.2348818E-02  3.8000000E-09  0.0000000E+00  1.2483183E-02
  0.0000000E+00  3.0000000E-09  1.1294988E-01  2.8625317E-01  3.5428236E-01  3.8212104E-01  4.8516093E+00  4.4407439E-01  5.0074458E-01  2.8325878E-01  1.1274514E-01  4.3000000E-09  0.0000000E+00  1.3661441E-02
  0.0000000E+00  3.8000000E-09  1.4161299E-01  3.1146844E-01  3.7985810E-01  4.0760012E-01  5.4883715E+00  4.7270784E-01  5.3039930E-01  3.0847486E-01  1.4137169E-01  4.2000000E-09  0.0000000E+00  1.4843618E-02
  0.0000000E+00  1.1980203E-08  1.6868802E-01  3.3540916E-01  4.0411542E-01  4.3176942E-01  6.0775782E+00  4.9978283E-01  5.5844869E-01  3.3241959E-01  1.6841433E-01  1.1973505E-08  0.0000000E+00  1.6029741E-02
  0.0000000E+00  9.8781433E-03  1.9426262E-01  3.5803872E-01  4.2703719E-01  4.5460718E-01  6.6398717E+00  5.2537958E-01  5.8499412E-01  3.5505596E-01  1.9395973E-01  9.8726211E-03  0.0000000E+00  1.7219687E-02
  0.0000000E+00  3.6874049E-02  2.1867881E-01  3.7985893E-01  4.4909743E-01  4.7659505E-01  7.0855341E+00  5.4982547E-01  6.1031970E-01  3.7688429E-01  2.1834999E-01  3.6851416E-02  0.0000000E+00  1.8413395E-02
  0.0000000E+00  6.2519822E-02  2.4190779E-01  4.0066327E-01  4.7011571E-01  4.9754632E-01  7.5000021E+00  5.7309298E-01  6.3443887E-01  3.9769843E-01  2.4155539E-01  6.2481696E-02  0.0000000E+00  1.9611332E-02
  0.0000000E+00  8.6922285E-02  2.6403890E-01  4.2052133E-01  4.9016458E-01  5.1753300E-01  7.8854026E+00  5.9526844E-01  6.5743982E-01  4.1756769E-01  2.6366498E-01  8.6870086E-02  0.0000000E+00  2.0813532E-02
  0.0000000E+00  1.1017510E-01  2.8514968E-01  4.3949417E-01  5.0930766E-01  5.3661826E-01  8.2438123E+00  6.1642726E-01  6.7939966E-01  4.3655288E-01  2.8475605E-01  1.1011007E-01  0.0000000E+00  2.2020027E-02
  0.0000000E+00  1.3236108E-01  3.0530941E-01  4.5763701E-01  5.2760234E-01  5.5485907E-01  8.5772030E+00  6.3663705E-01  7.0038748E-01  4.5470903E-01  3.0489768E-01  1.3228433E-01  0.0000000E+00  2.3230851E-02
  0.0000000E+00  1.5355483E-01  3.2458191E-01  4.7500165E-01  5.4510234E-01  5.7230879E-01  8.8874408E+00  6.5596035E-01  7.2046719E-01  4.7208777E-01  3.2415349E-01  1.5346734E-01  0.0000000E+00  2.4446037E-02
  0.0000000E+00  1.7382254E-01  3.4302316E-01  4.9163374E-01  5.6185496E-01  5.8901440E-01  9.1762485E+00  6.7445220E-01  7.3969508E-01  4.8873461E-01  3.4257932E-01  1.7372518E-01  0.0000000E+00  2.5665620E-02
  0.0000000E+00  1.9322491E-01  3.6068564E-01  5.0757680E-01  5.7790514E-01  6.0502054E-01  9.4452395E+00  6.9216435E-01  7.5812400E-01  5.0469295E-01  3.6022752E-01  1.9311844E-01  0.0000000E+00  2.6889632E-02
  0.0000000E+00  2.1181611E-01  3.7761587E-01  5.2286951E-01  5.9329285E-01  6.2036690E-01  9.6958836E+00  7.0914270E-01  7.7580091E-01  5.2000139E-01  3.7714450E-01  2.1170123E-01  0.0000000E+00  2.8118108E-02
  0.0000000E+00  2.2964634E-01  3.9385770E-01  5.3754893E-01  6.0805630E-01  6.3509149E-01  9.9295512E+00  7.2543092E-01  7.9277043E-01  5.3469688E-01  3.9337399E-01  2.2952367E-01  0.0000000E+00  2.9351090E-02
  0.0000000E+00  2.4676069E-01  4.0945038E-01  5.5164816E-01  6.2222958E-01  6.4922818E-01  1.0147484E+01  7.4106780E-01  8.0907222E-01  5.4881248E-01  4.0895516E-01  2.4663080E-01  0.0000000E+00  3.0588609E-02
  0.0000000E+00  2.6320125E-01  4.2443091E-01  5.6519891E-01  6.3584525E-01  6.6280933E-01  1.0350837E+01  7.5609015E-01  8.2474391E-01  5.6237981E-01  4.2392494E-01  2.6306464E-01  0.0000000E+00  3.1830702E-02
  0.0000000E+00  2.7900620E-01  4.3883293E-01  5.7823000E-01  6.4893294E-01  6.7586441E-01  1.0540660E+01  7.7053142E-01  8.3981967E-01  5.7542765E-01  4.3831689E-01  2.7886332E-01  0.0000000E+00  3.3077404E-02
  0.0000000E+00  2.9421092E-01  4.5268773E-01  5.9076845E-01  6.6152035E-01  6.8842096E-01  1.0717918E+01  7.8442278E-01  8.5433137E-01  5.8798297E-01  4.5216224E-01  2.9406219E-01  0.0000000E+00  3.4328755E-02
  0.0000000E+00  3.0884784E-01  4.6602405E-01  6.0283920E-01  6.7363308E-01  7.0050443E-01  1.0883493E+01  7.9779297E-01  8.6830837E-01  6.0007069E-01  4.6548971E-01  3.0869364E-01  0.0000000E+00  3.5584790E-02
  0.0000000E+00  3.2294760E-01  4.7886933E-01  6.1446636E-01  6.8529583E-01  7.1213944E-01  1.1038209E+01  8.1066958E-01  8.8177891E-01  6.1171487E-01  4.7832664E-01  3.2278828E-01  0.0000000E+00  3.6845558E-02
  0.0000000E+00  3.3653802E-01  4.9124831E-01  6.2567129E-01  6.9653038E-01  7.2334759E-01  1.1182808E+01  8.2307685E-01  8.9476773E-01  6.2293686E-01  4.9069777E-01  3.3637389E-01  0.0000000E+00  3.8111078E-02
  0.0000000E+00  3.4964503E-01  5.0318427E-01  6.3647455E-01  7.0735779E-01  7.3414987E-01  1.1317973E+01  8.3503831E-01  9.0729887E-01  6.3375718E-01  5.0262631E-01  3.4947638E-01  0.0000000E+00  3.9381400E-02
  5.6446883E-09  3.6229317E-01  5.1469929E-01  6.4689571E-01  7.1779805E-01  7.4456617E-01  1.1444347E+01  8.4657609E-01  9.1939499E-01  6.4419537E-01  5.1413432E-01  3.6212027E-01  5.6440382E-09  4.0656562E-02
  8.7014336E-03  3.7444886E-01  5.2574092E-01  6.5688454E-01  7.2774331E-01  7.5454723E-01  1.1552712E+01  8.5765975E-01  9.3097377E-01  6.5420148E-01  5.2516927E-01  3.7427194E-01  8.7004314E-03  4.1934614E-02
  2.3854285E-02  3.8626978E-01  5.3650551E-01  6.6663686E-01  7.3750559E-01  7.6428747E-01  1.1633865E+01  8.6844422E-01  9.4229207E-01  6.6397067E-01  5.3592765E-01  3.8608910E-01  2.3850631E-02  4.3214476E-02
  3.8507027E-02  3.9769097E-01  5.4689909E-01  6.7604764E-01  7.4692239E-01  7.7368308E-01  1.1709225E+01  8.7885515E-01  9.5322816E-01  6.7339832E-01  5.4631531E-01  3.9750675E-01  3.8500866E-02  4.4500220E-02
  5.2682904E-02  4.0873041E-01  5.5693818E-01  6.8513194E-01  7.5600900E-01  7.8274932E-01  1.1779139E+01  8.8890908E-01  9.6379888E-01  6.8249944E-01  5.5634876E-01  4.0854281E-01  5.2674364E-02  4.5791905E-02
  6.6403840E-02  4.1940536E-01  5.6663874E-01  6.9390436E-01  7.6478027E-01  7.9150096E-01  1.1843946E+01  8.9862199E-01  9.7402043E-01  6.9128864E-01  5.6604394E-01  4.1921453E-01  6.6393039E-02  4.7089590E-02
  7.9690283E-02  4.2973167E-01  5.7601545E-01  7.0237832E-01  7.7324985E-01  7.9995163E-01  1.1903945E+01  9.0800873E-01  9.8390791E-01  6.9977933E-01  5.7541553E-01  4.2953778E-01  7.9677342E-02  4.8393336E-02
  9.2561508E-02  4.3972445E-01  5.8508221E-01  7.1056654E-01  7.8143066E-01  8.0811417E-01  1.1959424E+01  9.1708320E-01  9.9347549E-01  7.0798421E-01  5.8447739E-01  4.3952764E-01  9.2546528E-02  4.9703207E-02
  1.0503563E-01  4.4939790E-01  5.9385221E-01  7.1848109E-01  7.8933495E-01  8.1600082E-01  1.2010647E+01  9.2585864E-01  1.0027366E+00  7.1591536E-01  5.9324272E-01  4.4919831E-01  1.0501871E-01  5.1019261E-02
  1.1712968E-01  4.5876545E-01  6.0233786E-01  7.2613332E-01  7.9697428E-01  8.2362308E-01  1.2057864E+01  9.3434750E-01  1.0117039E+00  7.2358411E-01  6.0172390E-01  4.5856321E-01  1.1711091E-01  5.2341566E-02
  1.2885968E-01  4.6783963E-01  6.1055077E-01  7.3353391E-01  8.0435948E-01  8.3099173E-01  1.2101302E+01  9.4256147E-01  1.0203893E+00  7.3100115E-01  6.0993253E-01  4.6763485E-01  1.2883916E-01  5.3670184E-02
  1.4024096E-01  4.7663274E-01  6.1850237E-01  7.4069338E-01  8.1150120E-01  8.3811742E-01  1.2141190E+01  9.5051205E-01  1.0288045E+00  7.3817697E-01  6.1788004E-01  4.7642555E-01  1.4021876E-01  5.5005182E-02
  1.5128775E-01  4.8515596E-01  6.2620301E-01  7.4762123E-01  8.1840911E-01  8.4500975E-01  1.2177727E+01  9.5820962E-01  1.0369601E+00  7.4512109E-01  6.2557677E-01  4.8494646E-01  1.5126395E-01  5.6346627E-02
  1.6201361E-01  4.9342009E-01  6.3366273E-01  7.5432667E-01  8.2509257E-01  8.5167805E-01  1.2211102E+01  9.6566429E-01  1.0448663E+00  7.5184271E-01  6.3303273E-01  4.9320837E-01  1.6198828E-01  5.7694587E-02
  1.7243136E-01  5.0143529E-01  6.4089097E-01  7.6081844E-01  8.3156040E-01  8.5813114E-01  1.2241494E+01  9.7288558E-01  1.0525329E+00  7.5835056E-01  6.4025737E-01  5.0122145E-01  1.7240457E-01  5.9049131E-02
  1.8255313E-01  5.0921126E-01  6.4789671E-01  7.6710480E-01  8.3782102E-01  8.6437739E-01  1.2269071E+01  9.7988253E-01  1.0599690E+00  7.6465292E-01  6.4725968E-01  5.0899540E-01  1.8252495E-01  6.0410327E-02
  1.9239033E-01  5.1675703E-01  6.5468838E-01  7.7319349E-01  8.4388224E-01  8.7042460E-01  1.2293985E+01  9.8666358E-01  1.0671833E+00  7.7075749E-01  6.5404804E-01  5.1653922E-01  1.9236080E-01  6.1778250E-02
  2.0195405E-01  5.2408160E-01  6.6127435E-01  7.7909228E-01  8.4975197E-01  8.7628064E-01  1.2316393E+01  9.9323721E-01  1.0741844E+00  7.7667206E-01  6.6063084E-01  5.2386193E-01  2.0192325E-01  6.3152970E-02
  2.1125455E-01  5.3119311E-01  6.6766219E-01  7.8480812E-01  8.5543725E-01  8.8195253E-01  1.2336429E+01  9.9961102E-01  1.0809801E+00  7.8240358E-01  6.6701562E-01  5.3097166E-01  2.1122252E-01  6.4534560E-02
  2.2030166E-01  5.3809948E-01  6.7385925E-01  7.9034785E-01  8.6094501E-01  8.8744717E-01  1.2354223E+01  1.0057925E+00  1.0875779E+00  7.8795890E-01  6.7320977E-01  5.3787632E-01  2.2026846E-01  6.5923096E-02
  2.2910477E-01  5.4480822E-01  6.7987256E-01  7.9571791E-01  8.6628176E-01  8.9277108E-01  1.2369897E+01  1.0117885E+00  1.0939849E+00  7.9334443E-01  6.7922026E-01  5.4458341E-01  2.2907044E-01  6.7318655E-02
  2.3767272E-01  5.5132647E-01  6.8570873E-01  8.0092447E-01  8.7145377E-01  8.9793047E-01  1.2383565E+01  1.0176060E+00  1.1002082E+00  7.9856635E-01  6.8505374E-01  5.5110008E-01  2.3763731E-01  6.8721312E-02
  2.4601401E-01  5.5766105E-01  6.9137416E-01  8.0597339E-01  8.7646695E-01  9.0293127E-01  1.2395337E+01  1.0232512E+00  1.1062541E+00  8.0363054E-01  6.9071656E-01  5.5743314E-01  2.4597757E-01  7.0131147E-02
  2.5413670E-01  5.6381846E-01  6.9687488E-01  8.1087030E-01  8.8132705E-01  9.0777918E-01  1.2405313E+01  1.0287304E+00  1.1121290E+00  8.0854261E-01  6.9621479E-01  5.6358910E-01  2.5409926E-01  7.1548240E-02
  0.0000000E+00  3.6000000E-09  5.1722142E-08  1.4777670E-01  2.2039463E-01  2.4711149E-01  1.8333587E+00  3.1207113E-01  3.6545552E-01  1.4470958E-01  5.1444358E-08  1.4000000E-09  0.0000000E+00  9.1444223E-03
  0.0000000E+00  4.0000000E-09  1.8721395E-02  1.7506375E-01  2.4873784E-01  2.7483659E-01  2.6676910E+00  3.4595458E-01  4.0050985E-01  1.7196419E-01  1.8620837E-02  3.5000000E-09  0.0000000E+00  1.0204178E-02
  0.0000000E+00  2.5000000E-09  4.8650097E-02  2.0056830E-01  2.7457840E-01  3.0058396E-01  3.3283100E+00  3.7646253E-01  4.3265044E-01  1.9745952E-01  4.8468123E-02  3.5000000E-09  0.0000000E+00  1.1260772E-02
  0.0000000E+00  3.3000000E-09  7.6182830E-02  2.2421307E-01  2.9849576E-01  3.2442772E-01  3.9306235E+00  4.0455246E-01  4.6228049E-01  2.2110540E-01  7.5933869E-02  3.4000000E-09  0.0000000E+00  1.2320843E-02
  0.0000000E+00  3.9000000E-09  1.0167612E-01  2.4624569E-01  3.2074777E-01  3.4662078E-01  4.4777156E+00  4.3056939E-01  4.8975345E-01  2.4314663E-01  1.0137128E-01  4.2000000E-09  0.0000000E+00  1.3384415E-02
  0.0000000E+00  3.5000000E-09  1.2539759E-01  2.6685430E-01  3.4153138E-01  3.6735674E-01  4.9740387E+00  4.5477745E-01  5.1534165E-01  2.6376930E-01  1.2504554E-01  4.1000000E-09  0.0000000E+00  1.4451514E-02
  0.0000000E+00  1.2191325E-08  1.4755749E-01  2.8618955E-01  3.6100455E-01  3.8679114E-01  5.4243525E+00  4.7738701E-01  5.3926286E-01  2.8312258E-01  1.4716511E-01  1.2181974E-08  0.0000000E+00  1.5522166E-02
  0.0000000E+00  1.0052215E-02  1.6825213E-01  3.0423405E-01  3.7916550E-01  4.0491819E-01  5.8422195E+00  4.9851266E-01  5.6166268E-01  3.0118906E-01  1.6782492E-01  1.0044505E-02  0.0000000E+00  1.6596247E-02
  0.0000000E+00  3.2013852E-02  1.8781702E-01  3.2146764E-01  3.9647618E-01  4.2220323E-01  6.1662726E+00  5.1844693E-01  5.8277002E-01  3.1844535E-01  1.8736003E-01  3.1982662E-02  0.0000000E+00  1.7673688E-02
  0.0000000E+00  5.2704754E-02  2.0626372E-01  3.3774025E-01  4.1280447E-01  4.3851032E-01  6.4624975E+00  5.3723537E-01  6.0268939E-01  3.3474224E-01  2.0578029E-01  5.2652815E-02  0.0000000E+00  1.8754938E-02
  0.0000000E+00  7.2237237E-02  2.2368730E-01  3.5312875E-01  4.2823005E-01  4.5391841E-01  6.7333760E+00  5.5497476E-01  6.2152036E-01  3.5015621E-01  2.2318029E-01  7.2166872E-02  0.0000000E+00  1.9840022E-02
  0.0000000E+00  9.0708876E-02  2.4017038E-01  3.6770046E-01  4.4282263E-01  4.6849662E-01  6.9811833E+00  5.7174936E-01  6.3934972E-01  3.6475429E-01  2.3964225E-01  9.0622064E-02  0.0000000E+00  2.0928974E-02
  0.0000000E+00  1.0820585E-01  2.5578742E-01  3.8151681E-01  4.5664571E-01  4.8230799E-01  7.2079998E+00  5.8763525E-01  6.5625586E-01  3.7859765E-01  2.5524028E-01  1.0810429E-01  0.0000000E+00  2.2021820E-02
  0.0000000E+00  1.2480439E-01  2.7060404E-01  3.9463240E-01  4.6975559E-01  4.9540839E-01  7.4157112E+00  6.0269957E-01  6.7230801E-01  3.9174072E-01  2.7003973E-01  1.2468956E-01  0.0000000E+00  2.3118593E-02
  0.0000000E+00  1.4057175E-01  2.8467808E-01  4.0709547E-01  4.8220202E-01  5.0784727E-01  7.6060133E+00  6.1700159E-01  6.8756735E-01  4.0423158E-01  2.8409822E-01  1.4044493E-01  0.0000000E+00  2.4219321E-02
  0.0000000E+00  1.5556890E-01  2.9806281E-01  4.1895102E-01  4.9403127E-01  5.1967060E-01  7.7804478E+00  6.3059583E-01  7.0209019E-01  4.1611509E-01  2.9746881E-01  1.5543122E-01  0.0000000E+00  2.5324036E-02
  0.0000000E+00  1.6985007E-01  3.1080540E-01  4.3023898E-01  5.0528438E-01  5.3091919E-01  7.9403962E+00  6.4353067E-01  7.1592650E-01  4.2743110E-01  3.1019850E-01  1.6970250E-01  0.0000000E+00  2.6432766E-02
  0.0000000E+00  1.8346416E-01  3.2294857E-01  4.4099585E-01  5.1599887E-01  5.4163037E-01  8.0871005E+00  6.5585019E-01  7.2912187E-01  4.3821602E-01  3.2232989E-01  1.8330757E-01  0.0000000E+00  2.7545552E-02
  0.0000000E+00  1.9645606E-01  3.3453201E-01  4.5125565E-01  5.2620958E-01  5.5183880E-01  8.2216955E+00  6.6759496E-01  7.4171822E-01  4.4850382E-01  3.3390253E-01  1.9629123E-01  0.0000000E+00  2.8662420E-02
  0.0000000E+00  2.0886602E-01  3.4559110E-01  4.6104887E-01  5.3594772E-01  5.6157556E-01  8.3451922E+00  6.7880132E-01  7.5375316E-01  4.5832491E-01  3.4495170E-01  2.0869362E-01  0.0000000E+00  2.9783404E-02
  0.0000000E+00  2.2073067E-01  3.5615822E-01  4.7040350E-01  5.4524195E-01  5.7086916E-01  8.4585026E+00  6.8950257E-01  7.6526112E-01  4.6770725E-01  3.5550970E-01  2.2055133E-01  0.0000000E+00  3.0908534E-02
  0.0000000E+00  2.3208412E-01  3.6626368E-01  4.7934590E-01  5.5411922E-01  5.7974645E-01  8.5624670E+00  6.9972980E-01  7.7627430E-01  4.7667718E-01  3.6560674E-01  2.3189837E-01  0.0000000E+00  3.2037847E-02
  0.0000000E+00  2.4295703E-01  3.7593477E-01  4.8789987E-01  5.6260381E-01  5.8823162E-01  8.6578324E+00  7.0951108E-01  7.8682173E-01  4.8525846E-01  3.7527004E-01  2.4276537E-01  0.0000000E+00  3.3171374E-02
  0.0000000E+00  2.5337764E-01  3.8519657E-01  4.9608748E-01  5.7071828E-01  5.9634719E-01  8.7452755E+00  7.1887246E-01  7.9693042E-01  4.9347312E-01  3.8452464E-01  2.5318051E-01  0.0000000E+00  3.4309160E-02
  0.0000000E+00  2.6337232E-01  3.9407273E-01  5.0392920E-01  5.7848346E-01  6.0411383E-01  8.8254241E+00  7.2783767E-01  8.0662494E-01  5.0134165E-01  3.9339413E-01  2.6317012E-01  0.0000000E+00  3.5451219E-02
  0.0000000E+00  2.7296505E-01  4.0258466E-01  5.1144405E-01  5.8591871E-01  6.1155090E-01  8.8988371E+00  7.3642904E-01  8.1592840E-01  5.0888305E-01  4.0189988E-01  2.7275816E-01  0.0000000E+00  3.6597598E-02
  4.4444292E-09  2.8217810E-01  4.1075234E-01  5.1864962E-01  5.9304201E-01  6.1867630E-01  8.9660271E+00  7.4466708E-01  8.2486210E-01  5.1611488E-01  4.1006181E-01  2.8196683E-01  4.4436418E-09  3.7748330E-02
  6.8512027E-03  2.9098446E-01  4.1853121E-01  5.2550370E-01  5.9975771E-01  6.2544767E-01  9.0185657E+00  7.5252912E-01  8.3335982E-01  5.2299536E-01  4.1783532E-01  2.9076914E-01  6.8499888E-03  3.8901602E-02
  1.8143527E-02  2.9951671E-01  4.2608978E-01  5.3217346E-01  6.0634111E-01  6.3203323E-01  9.0524214E+00  7.6014294E-01  8.4163422E-01  5.2969068E-01  4.2538900E-01  2.9929768E-01  1.8139119E-02  4.0056395E-02
  2.9025667E-02  3.0772318E-01  4.3334940E-01  5.3857082E-01  6.1264998E-01  6.3834442E-01  9.0824217E+00  7.6745038E-01  8.4958956E-01  5.3611337E-01  4.3264404E-01  3.0750066E-01  2.9018256E-02  4.1216478E-02
  3.9518220E-02  3.1562004E-01  4.4032491E-01  5.4470929E-01  6.1869800E-01  6.4439490E-01  9.1088395E+00  7.7446666E-01  8.5724148E-01  5.4227692E-01  4.3961525E-01  3.1539424E-01  3.9507983E-02  4.2381905E-02
  4.9640398E-02  3.2322239E-01  4.4703020E-01  5.5060152E-01  6.2449802E-01  6.5019750E-01  9.1319260E+00  7.8120603E-01  8.6460462E-01  5.4819399E-01  4.4631650E-01  3.2299350E-01  4.9627493E-02  4.3552727E-02
  5.9410138E-02  3.3054439E-01  4.5347828E-01  5.5625934E-01  6.3006204E-01  6.5576416E-01  9.1519141E+00  7.8768180E-01  8.7169269E-01  5.5387639E-01  4.5276081E-01  3.3031260E-01  5.9394721E-02  4.4729001E-02
  6.8844222E-02  3.3759918E-01  4.5968123E-01  5.6169373E-01  6.3540122E-01  6.6110604E-01  9.1690120E+00  7.9390636E-01  8.7851844E-01  5.5933513E-01  4.5896021E-01  3.3736466E-01  6.8826433E-02  4.5910782E-02
  7.7958483E-02  3.4439951E-01  4.6565079E-01  5.6691547E-01  6.4052643E-01  6.6623399E-01  9.1834306E+00  7.9989174E-01  8.8509428E-01  5.6458094E-01  4.6492644E-01  3.4416241E-01  7.7938446E-02  4.7098123E-02
  8.6767667E-02  3.5095696E-01  4.7139762E-01  5.7193424E-01  6.4544751E-01  6.7115783E-01  9.1953479E+00  8.0564887E-01  8.9143142E-01  5.6962354E-01  4.7067013E-01  3.5071743E-01  8.6745507E-02  4.8291084E-02
  9.5285643E-02  3.5728253E-01  4.7693183E-01  5.7675928E-01  6.5017384E-01  6.7588691E-01  9.2049349E+00  8.1118813E-01  8.9754062E-01  5.7447215E-01  4.7620140E-01  3.5704070E-01  9.5261475E-02  4.9489723E-02
  1.0352546E-01  3.6338659E-01  4.8226301E-01  5.8139935E-01  6.5471426E-01  6.8043007E-01  9.2123496E+00  8.1651934E-01  9.0343195E-01  5.7913555E-01  4.8152981E-01  3.6314259E-01  1.0349939E-01  5.0694098E-02
  1.1149938E-01  3.6927888E-01  4.8740012E-01  5.8586263E-01  6.5907707E-01  6.8479560E-01  9.2177384E+00  8.2165168E-01  9.0911493E-01  5.8362190E-01  4.8666431E-01  3.6903283E-01  1.1147150E-01  5.1904268E-02
  1.1921888E-01  3.7496852E-01  4.9235150E-01  5.9015675E-01  6.6327001E-01  6.8899120E-01  9.2212318E+00  8.2659375E-01  9.1459841E-01  5.8793886E-01  4.9161326E-01  3.7472053E-01  1.1918928E-01  5.3120295E-02
  1.2669506E-01  3.8046444E-01  4.9712548E-01  5.9428935E-01  6.6730077E-01  6.9302458E-01  9.2229683E+00  8.3135405E-01  9.1989117E-01  5.9209405E-01  4.9638495E-01  3.8021461E-01  1.2666384E-01  5.4342242E-02
  1.3393813E-01  3.8577475E-01  5.0172948E-01  5.9826723E-01  6.7117625E-01  6.9690261E-01  9.2230597E+00  8.3594023E-01  9.2500112E-01  5.9609426E-01  5.0098678E-01  3.8552319E-01  1.3390535E-01  5.5570168E-02
  1.4095778E-01  3.9090720E-01  5.0617067E-01  6.0209691E-01  6.7490305E-01  7.0063188E-01  9.2216159E+00  8.4035961E-01  9.2993582E-01  5.9994604E-01  5.0542595E-01  3.9065399E-01  1.4092353E-01  5.6804140E-02
  1.4776321E-01  3.9586914E-01  5.1045581E-01  6.0578463E-01  6.7848746E-01  7.0421869E-01  9.2187386E+00  8.4461917E-01  9.3470249E-01  6.0365562E-01  5.0970918E-01  3.9561438E-01  1.4772757E-01  5.8044221E-02
  1.5436313E-01  4.0066752E-01  5.1459133E-01  6.0933623E-01  6.8193542E-01  7.0766896E-01  9.2145229E+00  8.4872548E-01  9.3930793E-01  6.0722885E-01  5.1384291E-01  4.0041129E-01  1.5432615E-01  5.9290477E-02
  1.6076577E-01  4.0530897E-01  5.1858333E-01  6.1275735E-01  6.8525260E-01  7.1098835E-01  9.2090575E+00  8.5268480E-01  9.4375862E-01  6.1067137E-01  5.1783322E-01  4.0505133E-01  1.6072752E-01  6.0542976E-02
  1.6697881E-01  4.0979955E-01  5.2243738E-01  6.1605307E-01  6.8844414E-01  7.1418200E-01  9.2024186E+00  8.5650289E-01  9.4806052E-01  6.1398826E-01  5.2168570E-01  4.0954060E-01  1.6693934E-01  6.1801784E-02
  1.7300986E-01  4.1414552E-01  5.2615929E-01  6.1922875E-01  6.9151543E-01  7.1725530E-01  9.1946959E+00  8.6018569E-01  9.5221977E-01  6.1718487E-01  5.2540613E-01  4.1388530E-01  1.7296924E-01  6.3066972E-02
  1.7886586E-01  4.1835233E-01  5.2975411E-01  6.2228896E-01  6.9447114E-01  7.2021289E-01  9.1859547E+00  8.6373835E-01  9.5624174E-01  6.2026580E-01  5.2899956E-01  4.1809093E-01  1.7882414E-01  6.4338612E-02
  1.8455348E-01  4.2242539E-01  5.3322677E-01  6.2523828E-01  6.9731587E-01  7.2305938E-01  9.1762631E+00  8.6716600E-01  9.6013173E-01  6.2323562E-01  5.3247092E-01  4.2216285E-01  1.8451069E-01  6.5616770E-02
  0.0000000E+00  5.8000000E-09  5.8884218E-08  1.2595045E-01  2.0702455E-01  2.3063656E-01  1.9906506E+00  3.2232496E-01  3.7653189E-01  1.2288992E-01  5.8505550E-08  4.4000000E-09  0.0000000E+00  9.3593437E-03
  0.0000000E+00  5.1000000E-09  2.1298194E-02  1.4940393E-01  2.3022932E-01  2.5436499E-01  2.6755696E+00  3.5190550E-01  4.0910624E-01  1.4633264E-01  2.1161135E-02  5.8000000E-09  0.0000000E+00  1.0298765E-02
  0.0000000E+00  5.2000000E-09  4.6536939E-02  1.7071474E-01  2.5152488E-01  2.7571644E-01  3.2090228E+00  3.7829817E-01  4.3777779E-01  1.6764496E-01  4.6293642E-02  5.3000000E-09  0.0000000E+00  1.1242653E-02
  0.0000000E+00  5.7000000E-09  6.9401380E-02  1.9014043E-01  2.7089317E-01  2.9514241E-01  3.6806636E+00  4.0218217E-01  4.6378759E-01  1.8708640E-01  6.9073929E-02  4.9000000E-09  0.0000000E+00  1.2189636E-02
  0.0000000E+00  5.1000000E-09  9.0274396E-02  2.0796327E-01  2.8862462E-01  3.1293185E-01  4.0974525E+00  4.2395316E-01  4.8754883E-01  2.0493453E-01  8.9879075E-02  5.2000000E-09  0.0000000E+00  1.3139735E-02
  0.0000000E+00  5.1000000E-09  1.0944338E-01  2.2439734E-01  3.0494034E-01  3.2930505E-01  4.4661796E+00  4.4391303E-01  5.0937882E-01  2.2140032E-01  1.0899247E-01  5.4000000E-09  0.0000000E+00  1.4092976E-02
  0.0000000E+00  1.1815440E-08  1.2713236E-01  2.3961172E-01  3.2001515E-01  3.4443629E-01  4.7929805E+00  4.6229932E-01  5.2952839E-01  2.3665075E-01  1.2663531E-01  1.1803788E-08  0.0000000E+00  1.5049378E-02
  0.0000000E+00  9.7422795E-03  1.4344515E-01  2.5360847E-01  3.3385882E-01  3.5833564E-01  5.0853070E+00  4.7925515E-01  5.4818844E-01  2.5068837E-01  1.4290963E-01  9.7326721E-03  0.0000000E+00  1.6008820E-02
  0.0000000E+00  2.7235495E-02  1.5870596E-01  2.6683758E-01  3.4691979E-01  3.7144872E-01  5.3053489E+00  4.9504389E-01  5.6553045E-01  2.6395793E-01  1.5813856E-01  2.7196965E-02  0.0000000E+00  1.6971227E-02
  0.0000000E+00  4.3568923E-02  1.7295041E-01  2.7919158E-01  3.5909430E-01  3.8367417E-01  5.5020246E+00  5.0975858E-01  5.8173320E-01  2.7635355E-01  1.7235538E-01  4.3505261E-02  0.0000000E+00  1.7937022E-02
  0.0000000E+00  5.8856109E-02  1.8627691E-01  2.9075216E-01  3.7046624E-01  3.9509576E-01  5.6778878E+00  5.2350355E-01  5.9690588E-01  2.8795649E-01  1.8565778E-01  5.8770485E-02  0.0000000E+00  1.8906232E-02
  0.0000000E+00  7.3194948E-02  1.9876905E-01  3.0158895E-01  3.8110705E-01  4.0578482E-01  5.8351969E+00  5.3636763E-01  6.1114160E-01  2.9883601E-01  1.9812881E-01  7.3090025E-02  0.0000000E+00  1.9878884E-02
  0.0000000E+00  8.6670307E-02  2.1049968E-01  3.1176293E-01  3.9107922E-01  4.1580382E-01  5.9759343E+00  5.4842823E-01  6.2452168E-01  3.0905285E-01  2.0984086E-01  8.6548338E-02  0.0000000E+00  2.0855002E-02
  0.0000000E+00  9.9357105E-02  2.2153418E-01  3.2132942E-01  4.0043929E-01  4.2520927E-01  6.1018547E+00  5.5975472E-01  6.3711899E-01  3.1866213E-01  2.2085895E-01  9.9220019E-02  0.0000000E+00  2.1834616E-02
  0.0000000E+00  1.1132131E-01  2.3192987E-01  3.3033706E-01  4.0923694E-01  4.3405084E-01  6.2145040E+00  5.7040794E-01  6.4899754E-01  3.2771232E-01  2.3124009E-01  1.1117075E-01  0.0000000E+00  2.2817750E-02
  0.0000000E+00  1.2262106E-01  2.4173725E-01  3.3882887E-01  4.1751601E-01  4.4237239E-01  6.3152407E+00  5.8044149E-01  6.6021379E-01  3.3624633E-01  2.4103453E-01  1.2245845E-01  0.0000000E+00  2.3804432E-02
  0.0000000E+00  1.3330800E-01  2.5100130E-01  3.4684328E-01  4.2531568E-01  4.5021312E-01  6.4052615E+00  5.8990306E-01  6.7081806E-01  3.4430254E-01  2.5028706E-01  1.3313458E-01  0.0000000E+00  2.4794687E-02
  0.0000000E+00  1.4342904E-01  2.5976337E-01  3.5441600E-01  4.3267227E-01  4.5760938E-01  6.4856402E+00  5.9883665E-01  6.8085674E-01  3.5191655E-01  2.5903882E-01  1.4324589E-01  0.0000000E+00  2.5788552E-02
  0.0000000E+00  1.5302547E-01  2.6805949E-01  3.6157800E-01  4.3961725E-01  4.6459267E-01  6.5573106E+00  6.0728038E-01  6.9037010E-01  3.5911932E-01  2.6732572E-01  1.5283353E-01  0.0000000E+00  2.6786050E-02
  0.0000000E+00  1.6213524E-01  2.7592323E-01  3.6835845E-01  4.4618018E-01  4.7119259E-01  6.6211201E+00  6.1526973E-01  6.9939563E-01  3.6593994E-01  2.7518118E-01  1.6193535E-01  0.0000000E+00  2.7787209E-02
  0.0000000E+00  1.7079216E-01  2.8338431E-01  3.7478309E-01  4.5238719E-01  4.7743529E-01  6.6778108E+00  6.2283621E-01  7.0796665E-01  3.7240417E-01  2.8263482E-01  1.7058505E-01  0.0000000E+00  2.8792059E-02
  0.0000000E+00  1.7902703E-01  2.9046993E-01  3.8087564E-01  4.5826231E-01  4.8334485E-01  6.7280481E+00  6.3000862E-01  7.1611364E-01  3.7853571E-01  2.8971376E-01  1.7881337E-01  0.0000000E+00  2.9800630E-02
  0.0000000E+00  1.8686768E-01  2.9720465E-01  3.8665755E-01  4.6382721E-01  4.8894298E-01  6.7724201E+00  6.3681291E-01  7.2386412E-01  3.8435597E-01  2.9644245E-01  1.8664803E-01  0.0000000E+00  3.0812952E-02
  0.0000000E+00  1.9434004E-01  3.0361157E-01  3.9214916E-01  4.6910253E-01  4.9425036E-01  6.8114717E+00  6.4327373E-01  7.3124420E-01  3.8988531E-01  3.0284395E-01  1.9411494E-01  0.0000000E+00  3.1829062E-02
  0.0000000E+00  2.0146728E-01  3.0971119E-01  3.9736822E-01  4.7410607E-01  4.9928482E-01  6.8456744E+00  6.4941225E-01  7.3827628E-01  3.9514148E-01  3.0893868E-01  2.0123718E-01  0.0000000E+00  3.2848974E-02
  0.0000000E+00  2.0827063E-01  3.1552231E-01  4.0233134E-01  4.7885467E-01  5.0406323E-01  6.8754522E+00  6.5524859E-01  7.4498179E-01  4.0014109E-01  3.1474540E-01  2.0803596E-01  0.0000000E+00  3.3872729E-02
  3.4129660E-09  2.1477008E-01  3.2106280E-01  4.0705430E-01  4.8336423E-01  5.0860154E-01  6.9012026E+00  6.6080159E-01  7.5138070E-01  4.0489993E-01  3.2028191E-01  2.1453121E-01  3.4120800E-09  3.4900358E-02
  5.2611751E-03  2.2094404E-01  3.2629479E-01  4.1150179E-01  4.8754987E-01  5.1286273E-01  6.9154631E+00  6.6605342E-01  7.5742075E-01  4.0938329E-01  3.2551036E-01  2.2070137E-01  5.2598093E-03  3.5930179E-02
  1.3471629E-02  2.2690180E-01  3.3136069E-01  4.1581374E-01  4.9165239E-01  5.1699139E-01  6.9176232E+00  6.7111024E-01  7.6327458E-01  4.1372977E-01  3.3057316E-01  2.2665570E-01  1.3466692E-02  3.6961233E-02
  2.1354841E-02  2.3260250E-01  3.3619473E-01  4.1991695E-01  4.9554698E-01  5.2091124E-01  6.9175298E+00  6.7592503E-01  7.6886828E-01  4.1786698E-01  3.3540438E-01  2.3235322E-01  2.1346562E-02  3.7996993E-02
  2.8928403E-02  2.3805991E-01  3.4080943E-01  4.2382270E-01  4.9924504E-01  5.2463370E-01  6.9153693E+00  6.8051086E-01  7.7421562E-01  4.2180624E-01  3.4001653E-01  2.3780769E-01  2.8916997E-02  3.9037505E-02
  3.6208764E-02  2.4328731E-01  3.4521690E-01  4.2754200E-01  5.0275763E-01  5.2816984E-01  6.9113298E+00  6.8488038E-01  7.7932984E-01  4.2555855E-01  3.4442171E-01  2.4303234E-01  3.6194428E-02  4.0082818E-02
  4.3211165E-02  2.4829661E-01  3.4942799E-01  4.3108471E-01  5.0609469E-01  5.3152966E-01  6.9055669E+00  6.8904511E-01  7.8422309E-01  4.2913377E-01  3.4863073E-01  2.4803911E-01  4.3194082E-02  4.1132980E-02
  4.9949826E-02  2.5309909E-01  3.5345294E-01  4.3446008E-01  5.0926556E-01  5.3472248E-01  6.8982276E+00  6.9301572E-01  7.8890660E-01  4.3254117E-01  3.5265383E-01  2.5283923E-01  4.9930161E-02  4.2188038E-02
  5.6438034E-02  2.5770526E-01  3.5730134E-01  4.3767681E-01  5.1227896E-01  5.3775706E-01  6.8894467E+00  6.9680225E-01  7.9339094E-01  4.3578946E-01  3.5650056E-01  2.5744321E-01  5.6415941E-02  4.3248044E-02
  6.2688180E-02  2.6212497E-01  3.6098214E-01  4.4074302E-01  5.1514305E-01  5.4064159E-01  6.8793475E+00  7.0041408E-01  7.9768600E-01  4.3888675E-01  3.6017989E-01  2.6186088E-01  6.2663803E-02  4.4313047E-02
  6.8711780E-02  2.6636725E-01  3.6450357E-01  4.4366617E-01  5.1786531E-01  5.4338356E-01  6.8680367E+00  7.0385983E-01  8.0180091E-01  4.4184051E-01  3.6369999E-01  2.6610127E-01  6.8685250E-02  4.5383100E-02
  7.4519880E-02  2.7044105E-01  3.6787379E-01  4.4645368E-01  5.2045324E-01  5.4599049E-01  6.8556303E+00  7.0714807E-01  8.0574466E-01  4.4465821E-01  3.6706905E-01  2.7017332E-01  7.4491329E-02  4.6458253E-02
  8.0122591E-02  2.7435431E-01  3.7110000E-01  4.4911209E-01  5.2291337E-01  5.4846893E-01  6.8422179E+00  7.1028635E-01  8.0952528E-01  4.4734636E-01  3.7029425E-01  2.7408494E-01  8.0092123E-02  4.7538560E-02
  8.5529476E-02  2.7811463E-01  3.7418916E-01  4.5164769E-01  5.2525203E-01  5.5082523E-01  6.8278867E+00  7.1328194E-01  8.1315043E-01  4.4991127E-01  3.7338253E-01  2.7784374E-01  8.5497208E-02  4.8624074E-02
  9.0749539E-02  2.8172917E-01  3.7714774E-01  4.5406637E-01  5.2747512E-01  5.5306530E-01  6.8127174E+00  7.1614163E-01  8.1662733E-01  4.5235883E-01  3.7634035E-01  2.8145687E-01  9.0715565E-02  4.9714851E-02
  9.5791219E-02  2.8520462E-01  3.7998186E-01  4.5637369E-01  5.2958821E-01  5.5519475E-01  6.7967840E+00  7.1887184E-01  8.1996277E-01  4.5469461E-01  3.7917383E-01  2.8493100E-01  9.5755630E-02  5.0810945E-02
  1.0066238E-01  2.8854718E-01  3.8269711E-01  4.5857473E-01  5.3159638E-01  5.5721866E-01  6.7801481E+00  7.2147844E-01  8.2316300E-01  4.5692371E-01  3.8188855E-01  2.8827235E-01  1.0062527E-01  5.1912413E-02
  1.0537071E-01  2.9176311E-01  3.8529925E-01  4.6067469E-01  5.3350487E-01  5.5914228E-01  6.7628851E+00  7.2396743E-01  8.2623435E-01  4.5905133E-01  3.8449025E-01  2.9148715E-01  1.0533215E-01  5.3019312E-02
  1.0992321E-01  2.9485787E-01  3.8779320E-01  4.6267809E-01  5.3531818E-01  5.6097015E-01  6.7450467E+00  7.2634400E-01  8.2918237E-01  4.6108200E-01  3.8698387E-01  2.9458086E-01  1.0988329E-01  5.4131700E-02
  1.1432656E-01  2.9783680E-01  3.9018384E-01  4.6458931E-01  5.3704071E-01  5.6270666E-01  6.7266862E+00  7.2861323E-01  8.3201245E-01  4.6302012E-01  3.8937425E-01  2.9755881E-01  1.1428534E-01  5.5249639E-02
  1.1858705E-01  3.0070488E-01  3.9247569E-01  4.6641249E-01  5.3867658E-01  5.6435596E-01  6.7078531E+00  7.3077989E-01  8.3472967E-01  4.6486981E-01  3.9166593E-01  3.0042599E-01  1.1854460E-01  5.6373185E-02
  1.2271063E-01  3.0346687E-01  3.9467306E-01  4.6815154E-01  5.4022972E-01  5.6592199E-01  6.6885925E+00  7.3284849E-01  8.3733883E-01  4.6663501E-01  3.9386321E-01  3.0318714E-01  1.2266702E-01  5.7502400E-02
  1.2670298E-01  3.0612726E-01  3.9678005E-01  4.6981015E-01  5.4170381E-01  5.6740845E-01  6.6689467E+00  7.3482330E-01  8.3984449E-01  4.6831941E-01  3.9597018E-01  3.0584676E-01  1.2665826E-01  5.8637349E-02
  1.3056942E-01  3.0869029E-01  3.9880049E-01  4.7139184E-01  5.4310237E-01  5.6881886E-01  6.6489542E+00  7.3670837E-01  8.4225098E-01  4.6992654E-01  3.9799065E-01  3.0840908E-01  1.3052365E-01  5.9778091E-02
  0.0000000E+00  5.2000000E-09  6.2686151E-08  1.0510075E-01  1.9345004E-01  2.1574280E-01  2.1236020E+00  3.3881934E-01  3.9720185E-01  1.0223445E-01  6.2224128E-08  4.8000000E-09  0.0000000E+00  9.5815867E-03
  0.0000000E+00  4.6000000E-09  2.2680741E-02  1.2453522E-01  2.1236093E-01  2.3493746E-01  2.6576940E+00  3.6444522E-01  4.2605098E-01  1.2166267E-01  2.2513529E-02  5.8000000E-09  0.0000000E+00  1.0423806E-02
  0.0000000E+00  4.3000000E-09  4.3352897E-02  1.4193684E-01  2.2905184E-01  2.5193957E-01  3.0605971E+00  3.8638242E-01  4.5129002E-01  1.3909214E-01  4.3060061E-02  5.7000000E-09  0.0000000E+00  1.1256095E-02
  0.0000000E+00  5.4000000E-09  6.1774407E-02  1.5750135E-01  2.4393919E-01  2.6710341E-01  3.4049914E+00  4.0586695E-01  4.7379968E-01  1.5469987E-01  6.1384903E-02  5.2000000E-09  0.0000000E+00  1.2091101E-02
  0.0000000E+00  5.2000000E-09  7.8336305E-02  1.7153377E-01  2.5732288E-01  2.8073452E-01  3.6999271E+00  4.2331925E-01  4.9403989E-01  1.6878493E-01  7.7870921E-02  5.0000000E-09  0.0000000E+00  1.2928845E-02
  0.0000000E+00  4.1000000E-09  9.3331023E-02  1.8426408E-01  2.6942969E-01  2.9306419E-01  3.9531770E+00  4.3905829E-01  5.1236198E-01  1.8157353E-01  9.2805102E-02  4.3000000E-09  0.0000000E+00  1.3769345E-02
  0.0000000E+00  1.0902705E-08  1.0698534E-01  1.9587241E-01  2.8043749E-01  3.0427385E-01  4.1712238E+00  4.5333333E-01  5.2904172E-01  1.9324338E-01  1.0641044E-01  1.0889390E-08  0.0000000E+00  1.4612620E-02
  0.0000000E+00  8.9896913E-03  1.1940020E-01  2.0637468E-01  2.9035174E-01  3.1437697E-01  4.3562645E+00  4.6629426E-01  5.4430591E-01  2.0381184E-01  1.1878578E-01  8.9787126E-03  0.0000000E+00  1.5458552E-02
  0.0000000E+00  2.2537739E-02  1.3088604E-01  2.1618470E-01  2.9961098E-01  3.2380031E-01  4.4892032E+00  4.7819042E-01  5.5827156E-01  2.1368520E-01  1.3023987E-01  2.2494010E-02  0.0000000E+00  1.6307054E-02
  0.0000000E+00  3.5066012E-02  1.4148847E-01  2.2522928E-01  3.0811863E-01  3.3245984E-01  4.6041245E+00  4.8913054E-01  5.7117498E-01  2.2279310E-01  1.4081540E-01  3.4994208E-02  0.0000000E+00  1.7158531E-02
  0.0000000E+00  4.6683837E-02  1.5130121E-01  2.3358804E-01  3.1595388E-01  3.4043596E-01  4.7033570E+00  4.9921711E-01  5.8312793E-01  2.3121480E-01  1.5060527E-01  4.6587825E-02  0.0000000E+00  1.8013005E-02
  0.0000000E+00  5.7484311E-02  1.6040383E-01  2.4132873E-01  3.2318404E-01  3.4779704E-01  4.7888903E+00  5.0853716E-01  5.9422557E-01  2.3901776E-01  1.5968834E-01  5.7367304E-02  0.0000000E+00  1.8870501E-02
  0.0000000E+00  6.7548240E-02  1.6886662E-01  2.4851172E-01  3.2986896E-01  3.5460386E-01  4.8624393E+00  5.1716742E-01  6.0455176E-01  2.4626209E-01  1.6813439E-01  6.7412924E-02  0.0000000E+00  1.9731041E-02
  0.0000000E+00  7.6945694E-02  1.7675017E-01  2.5518905E-01  3.3606025E-01  3.6090883E-01  4.9254802E+00  5.2517393E-01  6.1417889E-01  2.5299974E-01  1.7600353E-01  7.6794338E-02  0.0000000E+00  2.0594647E-02
  0.0000000E+00  8.5737236E-02  1.8410645E-01  2.6140548E-01  3.4180217E-01  3.6675694E-01  4.9792768E+00  5.3261349E-01  6.2316936E-01  2.5927534E-01  1.8334740E-01  8.5571775E-02  0.0000000E+00  2.1461345E-02
  0.0000000E+00  9.3976916E-02  1.9098259E-01  2.6720185E-01  3.4713510E-01  3.7218919E-01  5.0249355E+00  5.3953740E-01  6.3157952E-01  2.6512969E-01  1.9021283E-01  9.3798999E-02  0.0000000E+00  2.2331155E-02
  0.0000000E+00  1.0171180E-01  1.9741934E-01  2.7261342E-01  3.5209392E-01  3.7724100E-01  5.0634057E+00  5.4598997E-01  6.3945817E-01  2.7059803E-01  1.9664033E-01  1.0152285E-01  0.0000000E+00  2.3204102E-02
  0.0000000E+00  1.0898358E-01  2.0345281E-01  2.7767159E-01  3.5670960E-01  3.8194389E-01  5.0955103E+00  5.5201069E-01  6.4684892E-01  2.7571171E-01  2.0266581E-01  1.0878481E-01  0.0000000E+00  2.4080218E-02
  0.0000000E+00  1.1583002E-01  2.0911610E-01  2.8240526E-01  3.6101060E-01  3.8632673E-01  5.1219825E+00  5.5763535E-01  6.5379117E-01  2.8049967E-01  2.0832221E-01  1.1562251E-01  0.0000000E+00  2.4959521E-02
  0.0000000E+00  1.2228429E-01  2.1443800E-01  2.8683953E-01  3.6502165E-01  3.9041466E-01  5.1434496E+00  5.6289524E-01  6.6031954E-01  2.8498696E-01  2.1363816E-01  1.2206898E-01  0.0000000E+00  2.5842039E-02
  0.0000000E+00  1.2837609E-01  2.1944439E-01  2.9099698E-01  3.6876496E-01  3.9423025E-01  5.1604594E+00  5.6781843E-01  6.6646508E-01  2.8919624E-01  2.1863943E-01  1.2815378E-01  0.0000000E+00  2.6727795E-02
  0.0000000E+00  1.3413280E-01  2.2415927E-01  2.9489871E-01  3.7226127E-01  3.9779458E-01  5.1735103E+00  5.7243087E-01  6.7225656E-01  2.9314861E-01  2.2334992E-01  1.3390421E-01  0.0000000E+00  2.7616816E-02
  0.0000000E+00  1.3957850E-01  2.2860368E-01  2.9856311E-01  3.7552866E-01  4.0112600E-01  5.1830265E+00  5.7675535E-01  6.7771921E-01  2.9686248E-01  2.2779059E-01  1.3934427E-01  0.0000000E+00  2.8509128E-02
  0.0000000E+00  1.4473504E-01  2.3279668E-01  3.0200703E-01  3.7858367E-01  4.0424136E-01  5.1893814E+00  5.8081272E-01  6.8287626E-01  3.0035472E-01  2.3198039E-01  1.4449574E-01  0.0000000E+00  2.9404766E-02
  0.0000000E+00  1.4962275E-01  2.3675612E-01  3.0524600E-01  3.8144150E-01  4.0715604E-01  5.1929208E+00  5.8462180E-01  6.8774857E-01  3.0364093E-01  2.3593715E-01  1.4937888E-01  0.0000000E+00  3.0303739E-02
  0.0000000E+00  1.5425966E-01  2.4049775E-01  3.0829399E-01  3.8411578E-01  4.0988394E-01  5.1939378E+00  5.8819982E-01  6.9235533E-01  3.0673505E-01  2.3967653E-01  1.5401165E-01  0.0000000E+00  3.1206083E-02
  2.5404886E-09  1.5866236E-01  2.4403612E-01  3.1116379E-01  3.8661913E-01  4.1243786E-01  5.1926970E+00  5.9156248E-01  6.9671405E-01  3.0964996E-01  2.4321305E-01  1.5841063E-01  2.5395583E-09  3.2111825E-02
  3.9162286E-03  1.6281376E-01  2.4733928E-01  3.1382633E-01  3.8887623E-01  4.1478481E-01  5.1828132E+00  5.9469368E-01  7.0078408E-01  3.1235738E-01  2.4651481E-01  1.6255873E-01  3.9147945E-03  3.3019417E-02
  9.7041620E-03  1.6680238E-01  2.5052582E-01  3.1639663E-01  3.9109623E-01  4.1704909E-01  5.1657519E+00  5.9768522E-01  7.0470434E-01  3.1497059E-01  2.4970030E-01  1.6654443E-01  9.6989987E-03  3.3927953E-02
  1.5239631E-02  1.7059596E-01  2.5354080E-01  3.1881434E-01  3.9316912E-01  4.1916390E-01  5.1476855E+00  6.0049547E-01  7.0841785E-01  3.1743036E-01  2.5271448E-01  1.7033538E-01  1.5230999E-02  3.4840619E-02
  2.0537202E-02  1.7420602E-01  2.5639453E-01  3.2108878E-01  3.9510411E-01  4.2113854E-01  5.1287333E+00  6.0313545E-01  7.1193674E-01  3.1974605E-01  2.5556765E-01  1.7394302E-01  2.0525337E-02  3.5757452E-02
  2.5610368E-02  1.7764318E-01  2.5909657E-01  3.2322861E-01  3.9690969E-01  4.2298164E-01  5.1090028E+00  6.0561542E-01  7.1527220E-01  3.2192631E-01  2.5826932E-01  1.7737799E-01  2.5595488E-02  3.6678499E-02
  3.0471608E-02  1.8091732E-01  2.6165572E-01  3.2524180E-01  3.9859370E-01  4.2470111E-01  5.0885901E+00  6.0794479E-01  7.1843461E-01  3.2397914E-01  2.6082831E-01  1.8065012E-01  3.0453913E-02  3.7603799E-02
  3.5132467E-02  1.8403740E-01  2.6408005E-01  3.2713558E-01  4.0016324E-01  4.2630418E-01  5.0675756E+00  6.1013217E-01  7.2143346E-01  3.2591179E-01  2.6325263E-01  1.8376839E-01  3.5112143E-02  3.8533396E-02
  3.9603849E-02  1.8701228E-01  2.6637749E-01  3.2891717E-01  4.0162540E-01  4.2779805E-01  5.0460503E+00  6.1218604E-01  7.2427806E-01  3.2773152E-01  2.6555024E-01  1.8674162E-01  3.9581069E-02  3.9467331E-02
  4.3895735E-02  1.8984973E-01  2.6855499E-01  3.3059282E-01  4.0298631E-01  4.2918889E-01  5.0240784E+00  6.1411383E-01  7.2697661E-01  3.2944458E-01  2.6772804E-01  1.8957758E-01  4.3870652E-02  4.0405650E-02
  4.8017485E-02  1.9255712E-01  2.7061912E-01  3.3216848E-01  4.0425178E-01  4.3048264E-01  5.0017238E+00  6.1592257E-01  7.2953691E-01  3.3105696E-01  2.6979261E-01  1.9228361E-01  4.7990251E-02  4.1348398E-02
  5.1977831E-02  1.9514133E-01  2.7257607E-01  3.3364972E-01  4.0542728E-01  4.3168483E-01  4.9790436E+00  6.1761885E-01  7.3196624E-01  3.3257423E-01  2.7175011E-01  1.9486659E-01  5.1948573E-02  4.2295619E-02
  5.5784922E-02  1.9760878E-01  2.7443156E-01  3.3504170E-01  4.0651785E-01  4.3280057E-01  4.9560895E+00  6.1920878E-01  7.3427140E-01  3.3400157E-01  2.7360625E-01  1.9733293E-01  5.5753768E-02  4.3247360E-02
  5.9446273E-02  1.9996530E-01  2.7619076E-01  3.3634908E-01  4.0752806E-01  4.3383450E-01  4.9329014E+00  6.2069793E-01  7.3645855E-01  3.3534368E-01  2.7536622E-01  1.9968845E-01  5.9413343E-02  4.4203666E-02
  6.2969250E-02  2.0221685E-01  2.7785907E-01  3.3757673E-01  4.0846265E-01  4.3479143E-01  4.9095345E+00  6.2209199E-01  7.3853403E-01  3.3660543E-01  2.7703537E-01  2.0193911E-01  6.2934643E-02  4.5164589E-02
  6.6360435E-02  2.0436855E-01  2.7944100E-01  3.3872874E-01  4.0932562E-01  4.3567542E-01  4.8860208E+00  6.2339581E-01  7.4050324E-01  3.3779092E-01  2.7861824E-01  2.0409001E-01  6.6324256E-02  4.6130174E-02
  6.9626114E-02  2.0642533E-01  2.8094095E-01  3.3980905E-01  4.1012079E-01  4.3649035E-01  4.8623945E+00  6.2461406E-01  7.4237140E-01  3.3890412E-01  2.8011919E-01  2.0614607E-01  6.9588452E-02  4.7100471E-02
  7.2772176E-02  2.0839181E-01  2.8236304E-01  3.4082139E-01  4.1085181E-01  4.3723993E-01  4.8386866E+00  6.2575118E-01  7.4414346E-01  3.3994877E-01  2.8154235E-01  2.0811192E-01  7.2733118E-02  4.8075529E-02
  7.5804172E-02  2.1027234E-01  2.8371115E-01  3.4176922E-01  4.1152207E-01  4.3792759E-01  4.8149252E+00  6.2681126E-01  7.4582404E-01  3.4092835E-01  2.8289161E-01  2.0999189E-01  7.5763796E-02  4.9055399E-02
  7.8727336E-02  2.1207105E-01  2.8498894E-01  3.4265586E-01  4.1213477E-01  4.3855658E-01  4.7911357E+00  6.2779823E-01  7.4741748E-01  3.4184620E-01  2.8417060E-01  2.1179011E-01  7.8685728E-02  5.0040134E-02
  8.1546413E-02  2.1379158E-01  2.8619963E-01  3.4348418E-01  4.1269271E-01  4.3912975E-01  4.7673339E+00  6.2871552E-01  7.4892771E-01  3.4270520E-01  2.8538254E-01  2.1351022E-01  8.1503632E-02  5.1029787E-02
  8.4266300E-02  2.1543790E-01  2.8734680E-01  3.4425743E-01  4.1319904E-01  4.3965031E-01  4.7435536E+00  6.2956691E-01  7.5035891E-01  3.4350861E-01  2.8653100E-01  2.1515617E-01  8.4222421E-02  5.2024408E-02
  8.6891252E-02  2.1701326E-01  2.8843329E-01  3.4497816E-01  4.1365624E-01  4.4012076E-01  4.7198073E+00  6.3035547E-01  7.5171458E-01  3.4425899E-01  2.8761884E-01  2.1673123E-01  8.6846332E-02  5.3024054E-02
  8.9425378E-02  2.1852090E-01  2.8946200E-01  3.4564893E-01  4.1406680E-01  4.4054363E-01  4.6961112E+00  6.3108425E-01  7.5299816E-01  3.4495892E-01  2.8864892E-01  2.1823861E-01  8.9379479E-02  5.4028779E-02
  0.0000000E+00  4.4000000E-09  6.2377971E-08  8.6553826E-02  1.7874093E-01  2.0144944E-01  2.1840526E+00  3.6094482E-01  4.2816750E-01  8.4153865E-02  6.1862223E-08  4.3000000E-09  0.0000000E+00  9.7627055E-03
  0.0000000E+00  5.1000000E-09  2.2565146E-02  1.0240468E-01  1.9253412E-01  2.1622892E-01  2.5639396E+00  3.8121329E-01  4.5391929E-01  1.0006397E-01  2.2378516E-02  4.5000000E-09  0.0000000E+00  1.0481598E-02
  0.0000000E+00  4.5000000E-09  3.8859107E-02  1.1605807E-01  2.0477290E-01  2.2897302E-01  2.8440672E+00  3.9844327E-01  4.7549109E-01  1.1377713E-01  3.8535853E-02  5.5000000E-09  0.0000000E+00  1.1202627E-02
  0.0000000E+00  5.1000000E-09  5.3122871E-02  1.2801451E-01  2.1543761E-01  2.4006778E-01  3.0733632E+00  4.1340258E-01  4.9437585E-01  1.2580785E-01  5.2697084E-02  5.0000000E-09  0.0000000E+00  1.1925998E-02
  0.0000000E+00  4.6000000E-09  6.5734491E-02  1.3858274E-01  2.2481424E-01  2.4981434E-01  3.2615601E+00  4.2651252E-01  5.1106009E-01  1.3645816E-01  6.5230187E-02  5.2000000E-09  0.0000000E+00  1.2651728E-02
  0.0000000E+00  4.7000000E-09  7.6975344E-02  1.4799381E-01  2.3311756E-01  2.5843878E-01  3.4164047E+00  4.3809057E-01  5.2591324E-01  1.4595508E-01  7.6409921E-02  5.5000000E-09  0.0000000E+00  1.3379832E-02
  0.0000000E+00  9.5474725E-09  8.7060577E-02  1.5642526E-01  2.4051293E-01  2.6611506E-01  3.5440253E+00  4.4838100E-01  5.3922128E-01  1.5447367E-01  8.6446940E-02  9.5334083E-09  0.0000000E+00  1.4110330E-02
  0.0000000E+00  7.8722492E-03  9.6085867E-02  1.6390422E-01  2.4699755E-01  2.7285504E-01  3.6424881E+00  4.5752752E-01  5.5123683E-01  1.6204359E-01  9.5434593E-02  7.8606528E-03  0.0000000E+00  1.4843101E-02
  0.0000000E+00  1.7984538E-02  1.0433535E-01  1.7079846E-01  2.5298854E-01  2.7905976E-01  3.7066657E+00  4.6577398E-01  5.6202970E-01  1.6902291E-01  1.0365477E-01  1.7938593E-02  0.0000000E+00  1.5578052E-02
  0.0000000E+00  2.7238792E-02  1.1185345E-01  1.7705634E-01  2.5838395E-01  2.8464687E-01  3.7583004E+00  4.7321537E-01  5.7186613E-01  1.7536439E-01  1.1114873E-01  2.7163768E-02  0.0000000E+00  1.6315567E-02
  0.0000000E+00  3.5735147E-02  1.1872681E-01  1.8275321E-01  2.6325548E-01  2.8969083E-01  3.7993094E+00  4.7994894E-01  5.8085773E-01  1.8114304E-01  1.1800215E-01  3.5635355E-02  0.0000000E+00  1.7055666E-02
  0.0000000E+00  4.3558288E-02  1.2502712E-01  1.8795122E-01  2.6766220E-01  2.9425296E-01  3.8312939E+00  4.8605527E-01  5.8909753E-01  1.8642081E-01  1.2428595E-01  4.3437268E-02  0.0000000E+00  1.7798368E-02
  0.0000000E+00  5.0780123E-02  1.3081542E-01  1.9270342E-01  2.7165444E-01  2.9838554E-01  3.8555844E+00  4.9160287E-01  5.9666490E-01  1.9125065E-01  1.3006057E-01  5.0640822E-02  0.0000000E+00  1.8543692E-02
  0.0000000E+00  5.7463065E-02  1.3614563E-01  1.9705689E-01  2.7527688E-01  3.0213491E-01  3.8733075E+00  4.9665193E-01  6.0362960E-01  1.9567960E-01  1.3537945E-01  5.7307937E-02  0.0000000E+00  1.9291659E-02
  0.0000000E+00  6.3661031E-02  1.4106394E-01  2.0105197E-01  2.7856774E-01  3.0554069E-01  3.8854117E+00  5.0125404E-01  6.1005160E-01  1.9974799E-01  1.4028841E-01  6.3492151E-02  0.0000000E+00  2.0042289E-02
  0.0000000E+00  6.9420577E-02  1.4561002E-01  2.0472327E-01  2.8155977E-01  3.0863687E-01  3.8926952E+00  5.0545353E-01  6.1598275E-01  2.0349045E-01  1.4482679E-01  6.9239706E-02  0.0000000E+00  2.0795603E-02
  0.0000000E+00  7.4782325E-02  1.4981854E-01  2.0810108E-01  2.8428153E-01  3.1145307E-01  3.8958305E+00  5.0928895E-01  6.2146822E-01  2.0693729E-01  1.4902901E-01  7.4590964E-02  0.0000000E+00  2.1551618E-02
  0.0000000E+00  7.9782716E-02  1.5372100E-01  2.1121306E-01  2.8675919E-01  3.1401642E-01  3.8954078E+00  5.1279529E-01  6.2654899E-01  2.1011626E-01  1.5292638E-01  7.9582156E-02  0.0000000E+00  2.2310362E-02
  0.0000000E+00  8.4453031E-02  1.5734403E-01  2.1408245E-01  2.8901461E-01  3.1634957E-01  3.8919114E+00  5.1600204E-01  6.3125984E-01  2.1305064E-01  1.5654533E-01  8.4244383E-02  0.0000000E+00  2.3071854E-02
  0.0000000E+00  8.8821839E-02  1.6071224E-01  2.1673092E-01  2.9106822E-01  3.1847365E-01  3.8857758E+00  5.1893642E-01  6.3563282E-01  2.1576217E-01  1.5991033E-01  8.8606067E-02  0.0000000E+00  2.3836113E-02
  0.0000000E+00  9.2913981E-02  1.6384691E-01  2.1917709E-01  2.9293749E-01  3.2040682E-01  3.8773620E+00  5.2162192E-01  6.3969575E-01  2.1826952E-01  1.6304254E-01  9.2691922E-02  0.0000000E+00  2.4603163E-02
  0.0000000E+00  9.6751839E-02  1.6676723E-01  2.2143776E-01  2.9463822E-01  3.2216540E-01  3.8669850E+00  5.2407967E-01  6.4347370E-01  2.2058958E-01  1.6596104E-01  9.6524222E-02  0.0000000E+00  2.5373026E-02
  0.0000000E+00  1.0035523E-01  1.6949011E-01  2.2352782E-01  2.9618432E-01  3.2376382E-01  3.8549104E+00  5.2632837E-01  6.4698895E-01  2.2273731E-01  1.6868268E-01  1.0012270E-01  0.0000000E+00  2.6145723E-02
  0.0000000E+00  1.0374262E-01  1.7203151E-01  2.2546134E-01  2.9758907E-01  3.2521585E-01  3.8413871E+00  5.2838565E-01  6.5026241E-01  2.2472683E-01  1.7122331E-01  1.0350574E-01  0.0000000E+00  2.6921285E-02
  0.0000000E+00  1.0693003E-01  1.7440513E-01  2.2725020E-01  2.9886344E-01  3.2653280E-01  3.8266142E+00  5.3026610E-01  6.5331163E-01  2.2657011E-01  1.7359659E-01  1.0668930E-01  0.0000000E+00  2.7699719E-02
  0.0000000E+00  1.0993197E-01  1.7662332E-01  2.2890531E-01  3.0001764E-01  3.2772528E-01  3.8107646E+00  5.3198352E-01  6.5615313E-01  2.2827808E-01  1.7581481E-01  1.0968782E-01  0.0000000E+00  2.8481056E-02
  1.8183982E-09  1.1276209E-01  1.7869791E-01  2.3043706E-01  3.0106142E-01  3.2880336E-01  3.7940054E+00  5.3355075E-01  6.5880232E-01  2.2986124E-01  1.7788974E-01  1.1251493E-01  1.8174924E-09  2.9265319E-02
  2.8031075E-03  1.1540712E-01  1.8060235E-01  2.3182178E-01  3.0192882E-01  3.2973702E-01  3.7710852E+00  5.3495034E-01  6.6122654E-01  2.3129689E-01  1.7979495E-01  1.1515738E-01  2.8017111E-03  3.0051094E-02
  6.7260913E-03  1.1793597E-01  1.8243207E-01  2.3315100E-01  3.0279742E-01  3.3063220E-01  3.7444777E+00  5.3626592E-01  6.6353871E-01  2.3267452E-01  1.8162567E-01  1.1768402E-01  6.7210527E-03  3.0837535E-02
  1.0462240E-02  1.2032385E-01  1.8414216E-01  2.3437592E-01  3.0357158E-01  3.3142989E-01  3.7177627E+00  5.3745651E-01  6.6569301E-01  2.3394669E-01  1.8333697E-01  1.2006995E-01  1.0453844E-02  3.1627534E-02
  1.4023007E-02  1.2257956E-01  1.8574035E-01  2.3550350E-01  3.0425785E-01  3.3213682E-01  3.6909902E+00  5.3853050E-01  6.6769936E-01  2.3512034E-01  1.8493654E-01  1.2232393E-01  1.4011489E-02  3.2421124E-02
  1.7419093E-02  1.2471180E-01  1.8723431E-01  2.3654062E-01  3.0486278E-01  3.3275971E-01  3.6642222E+00  5.3949607E-01  6.6956730E-01  2.3620245E-01  1.8643202E-01  1.2445463E-01  1.7404687E-02  3.3218340E-02
  2.0660260E-02  1.2672806E-01  1.8863058E-01  2.3749318E-01  3.0539191E-01  3.3330431E-01  3.6374955E+00  5.4036052E-01  6.7130547E-01  2.3719892E-01  1.8782994E-01  1.2646954E-01  2.0643164E-02  3.4019220E-02
  2.3755557E-02  1.2863539E-01  1.8993534E-01  2.3836670E-01  3.0585045E-01  3.3377596E-01  3.6108475E+00  5.4113043E-01  6.7292170E-01  2.3811531E-01  1.8913647E-01  1.2837570E-01  2.3735963E-02  3.4823799E-02
  2.6713356E-02  1.3044036E-01  1.9115429E-01  2.3916630E-01  3.0624321E-01  3.3417961E-01  3.5843106E+00  5.4181199E-01  6.7442329E-01  2.3895681E-01  1.9035731E-01  1.3017964E-01  2.6691441E-02  3.5632114E-02
  2.9541458E-02  1.3214902E-01  1.9229276E-01  2.3989673E-01  3.0657463E-01  3.3451986E-01  3.5579126E+00  5.4241093E-01  6.7581709E-01  2.3972817E-01  1.9149775E-01  1.3188742E-01  2.9517381E-02  3.6444205E-02
  3.2246941E-02  1.3376681E-01  1.9335544E-01  2.4056220E-01  3.0684865E-01  3.3480074E-01  3.5316708E+00  5.4293232E-01  6.7710920E-01  2.4043364E-01  1.9256249E-01  1.3350444E-01  3.2220848E-02  3.7260108E-02
  3.4836718E-02  1.3529928E-01  1.9434723E-01  2.4116708E-01  3.0706939E-01  3.3502652E-01  3.5056192E+00  5.4338142E-01  6.7830583E-01  2.4107763E-01  1.9355641E-01  1.3503627E-01  3.4808745E-02  3.8079863E-02
  3.7316952E-02  1.3675113E-01  1.9527218E-01  2.4171502E-01  3.0724023E-01  3.3520066E-01  3.4797692E+00  5.4376261E-01  6.7941229E-01  2.4166380E-01  1.9448355E-01  1.3648757E-01  3.7287219E-02  3.8903508E-02
  3.9693417E-02  1.3812684E-01  1.9613419E-01  2.4220944E-01  3.0736438E-01  3.3532650E-01  3.4541359E+00  5.4408007E-01  6.8043362E-01  2.4219563E-01  1.9534781E-01  1.3786285E-01  3.9662049E-02  3.9731085E-02
  4.1971582E-02  1.3943064E-01  1.9693691E-01  2.4265364E-01  3.0744490E-01  3.3540717E-01  3.4287323E+00  5.4433774E-01  6.8137459E-01  2.4267642E-01  1.9615284E-01  1.3916629E-01  4.1938674E-02  4.0562634E-02
  4.4156490E-02  1.4066643E-01  1.9768375E-01  2.4305063E-01  3.0748458E-01  3.3544556E-01  3.4035691E+00  5.4453926E-01  6.8223960E-01  2.4310921E-01  1.9690202E-01  1.4040181E-01  4.4122154E-02  4.1398197E-02
  4.6252764E-02  1.4183770E-01  1.9837769E-01  2.4340304E-01  3.0748585E-01  3.3544418E-01  3.3786485E+00  5.4468784E-01  6.8303262E-01  2.4349667E-01  1.9759833E-01  1.4157288E-01  4.6217086E-02  4.2237815E-02
  4.8265062E-02  1.4294820E-01  1.9902201E-01  2.4371383E-01  3.0745147E-01  3.3540587E-01  3.3539909E+00  5.4478698E-01  6.8375782E-01  2.4384177E-01  1.9824506E-01  1.4268326E-01  4.8228127E-02  4.3081532E-02
  5.0197442E-02  1.4400097E-01  1.9961931E-01  2.4398528E-01  3.0738355E-01  3.3533280E-01  3.3295961E+00  5.4483944E-01  6.8441865E-01  2.4414681E-01  1.9884480E-01  1.4373596E-01  5.0159330E-02  4.3929389E-02
  5.2053777E-02  1.4499900E-01  2.0017219E-01  2.4421967E-01  3.0728417E-01  3.3522714E-01  3.3054689E+00  5.4484800E-01  6.8501851E-01  2.4441412E-01  1.9940012E-01  1.4473398E-01  5.2014564E-02  4.4781435E-02
  5.3837744E-02  1.4594508E-01  2.0068302E-01  2.4441915E-01  3.0715533E-01  3.3509092E-01  3.2816129E+00  5.4481523E-01  6.8556056E-01  2.4464583E-01  1.9991344E-01  1.4568012E-01  5.3797493E-02  4.5637710E-02
  5.5552759E-02  1.4684186E-01  2.0115409E-01  2.4458569E-01  3.0699883E-01  3.3492604E-01  3.2580307E+00  5.4474353E-01  6.8604777E-01  2.4484396E-01  2.0038700E-01  1.4657699E-01  5.5511544E-02  4.6498263E-02
  5.7202067E-02  1.4769180E-01  2.0158751E-01  2.4472119E-01  3.0681640E-01  3.3473426E-01  3.2347245E+00  5.4463516E-01  6.8648295E-01  2.4501043E-01  2.0082293E-01  1.4742708E-01  5.7159937E-02  4.7363137E-02
  5.8788700E-02  1.4849724E-01  2.0198527E-01  2.4482739E-01  3.0660965E-01  3.3451725E-01  3.2116951E+00  5.4449222E-01  6.8686873E-01  2.4514697E-01  2.0122320E-01  1.4823270E-01  5.8745715E-02  4.8232381E-02
  0.0000000E+00  4.5000000E-09  5.7980155E-08  7.1053538E-02  1.6132294E-01  1.8763955E-01  2.1555477E+00  3.8631587E-01  4.7100956E-01  6.9497347E-02  5.7450922E-08  3.6000000E-09  0.0000000E+00  9.8306982E-03
  0.0000000E+00  5.3000000E-09  2.0969523E-02  8.3065748E-02  1.7067580E-01  1.9816293E-01  2.3944043E+00  4.0175393E-01  4.9263790E-01  8.1601449E-02  2.0778032E-02  4.4000000E-09  0.0000000E+00  1.0475354E-02
  0.0000000E+00  4.9000000E-09  3.3136631E-02  9.3111700E-02  1.7863583E-01  2.0665163E-01  2.5605297E+00  4.1360630E-01  5.1015158E-01  9.1750512E-02  3.2808256E-02  4.2000000E-09  0.0000000E+00  1.1085371E-02
  0.0000000E+00  4.8000000E-09  4.3585277E-02  1.0170466E-01  1.8536000E-01  2.1380589E-01  2.6876605E+00  4.2357768E-01  5.2514433E-01  1.0045614E-01  4.3156595E-02  4.8000000E-09  0.0000000E+00  1.1697356E-02
  0.0000000E+00  4.6000000E-09  5.2657909E-02  1.0913195E-01  1.9109417E-01  2.1989291E-01  2.7846972E+00  4.3204528E-01  5.3810410E-01  1.0799930E-01  5.2154264E-02  5.4000000E-09  0.0000000E+00  1.2311324E-02
  0.0000000E+00  5.4000000E-09  6.0606447E-02  1.1560549E-01  1.9601990E-01  2.2511005E-01  2.8583299E+00  4.3928980E-01  5.4939777E-01  1.1458836E-01  6.0045877E-02  5.3000000E-09  0.0000000E+00  1.2927288E-02
  0.0000000E+00  7.8744428E-09  6.7622231E-02  1.2128675E-01  2.0027572E-01  2.2960763E-01  2.9135922E+00  4.4552542E-01  5.5930723E-01  1.2038287E-01  6.7017945E-02  7.8607040E-09  0.0000000E+00  1.3545263E-02
  0.0000000E+00  6.4927722E-03  7.3785001E-02  1.2620049E-01  2.0383712E-01  2.3337800E-01  2.9455524E+00  4.5085343E-01  5.6808628E-01  1.2541147E-01  7.3147821E-02  6.4814440E-03  0.0000000E+00  1.4165132E-02
  0.0000000E+00  1.3674659E-02  7.9345838E-02  1.3066551E-01  2.0709434E-01  2.3679814E-01  2.9584611E+00  4.5553793E-01  5.7578196E-01  1.2998152E-01  7.8683941E-02  1.3630062E-02  0.0000000E+00  1.4786795E-02
  0.0000000E+00  2.0174480E-02  8.4340183E-02  1.3463998E-01  2.0992955E-01  2.3977001E-01  2.9641557E+00  4.5961676E-01  5.8265639E-01  1.3405731E-01  8.3658612E-02  2.0102041E-02  0.0000000E+00  1.5410612E-02
  0.0000000E+00  2.6078213E-02  8.8840377E-02  1.3818717E-01  2.1239900E-01  2.4235356E-01  2.9639917E+00  4.6317055E-01  5.8881296E-01  1.3770204E-01  8.8143154E-02  2.5982329E-02  0.0000000E+00  1.6036601E-02
  0.0000000E+00  3.1457547E-02  9.2906185E-02  1.4135934E-01  2.1454893E-01  2.4459808E-01  2.9590573E+00  4.6626586E-01  5.9433780E-01  1.4096797E-01  9.2196575E-02  3.1341818E-02  0.0000000E+00  1.6664778E-02
  0.0000000E+00  3.6373637E-02  9.6589705E-02  1.4420220E-01  2.1641989E-01  2.4654669E-01  2.9502431E+00  4.6896032E-01  5.9930536E-01  1.4390091E-01  9.5870345E-02  3.6241020E-02  0.0000000E+00  1.7295158E-02
  0.0000000E+00  4.0878496E-02  9.9934736E-02  1.4675411E-01  2.1804574E-01  2.4823538E-01  2.9382756E+00  4.7130225E-01  6.0377860E-01  1.4653935E-01  9.9207787E-02  4.0731442E-02  0.0000000E+00  1.7927759E-02
  0.0000000E+00  4.5016114E-02  1.0297774E-01  1.4904692E-01  2.1945441E-01  2.4969392E-01  2.9237408E+00  4.7333186E-01  6.0781044E-01  1.4891526E-01  1.0224501E-01  4.4856679E-02  0.0000000E+00  1.8562596E-02
  0.0000000E+00  4.8825212E-02  1.0575159E-01  1.5110941E-01  2.2067132E-01  2.5094928E-01  2.9071334E+00  4.7508528E-01  6.1144829E-01  1.5105756E-01  1.0501452E-01  4.8655118E-02  0.0000000E+00  1.9199690E-02
  0.0000000E+00  5.2338801E-02  1.0828377E-01  1.5296563E-01  2.2171742E-01  2.5202376E-01  2.8888523E+00  4.7659251E-01  6.1473198E-01  1.5299048E-01  1.0754360E-01  5.2159505E-02  0.0000000E+00  1.9839057E-02
  0.0000000E+00  5.5585560E-02  1.1059822E-01  1.5463646E-01  2.2261089E-01  2.5293670E-01  2.8692245E+00  4.7787966E-01  6.1769636E-01  1.5473503E-01  1.0985600E-01  5.5398324E-02  0.0000000E+00  2.0480714E-02
  0.0000000E+00  5.8591307E-02  1.1271675E-01  1.5614098E-01  2.2336848E-01  2.5370583E-01  2.8485373E+00  4.7897033E-01  6.2037276E-01  1.5631045E-01  1.1197332E-01  5.8397179E-02  0.0000000E+00  2.1124679E-02
  0.0000000E+00  6.1378123E-02  1.1465775E-01  1.5749524E-01  2.2400405E-01  2.5434588E-01  2.8270161E+00  4.7988441E-01  6.2278806E-01  1.5773294E-01  1.1391385E-01  6.1178029E-02  0.0000000E+00  2.1770970E-02
  0.0000000E+00  6.3965439E-02  1.1643739E-01  1.5871327E-01  2.2452972E-01  2.5486973E-01  2.8048469E+00  4.8063932E-01  6.2496589E-01  1.5901665E-01  1.1569362E-01  6.3760171E-02  0.0000000E+00  2.2419604E-02
  0.0000000E+00  6.6371156E-02  1.1807073E-01  1.5980830E-01  2.2495695E-01  2.5528952E-01  2.7822020E+00  4.8125120E-01  6.2692798E-01  1.6017494E-01  1.1732762E-01  6.6161410E-02  0.0000000E+00  2.3070602E-02
  0.0000000E+00  6.8610587E-02  1.1957046E-01  1.6079133E-01  2.2529517E-01  2.5561527E-01  2.7592106E+00  4.8173362E-01  6.2869295E-01  1.6121894E-01  1.1882843E-01  6.8396942E-02  0.0000000E+00  2.3723980E-02
  0.0000000E+00  7.0697409E-02  1.2094792E-01  1.6167222E-01  2.2555288E-01  2.5585601E-01  2.7359795E+00  4.8209886E-01  6.3027767E-01  1.6215862E-01  1.2020737E-01  7.0480395E-02  0.0000000E+00  2.4379767E-02
  0.0000000E+00  7.2644379E-02  1.2221383E-01  1.6246024E-01  2.2573796E-01  2.5602003E-01  2.7126143E+00  4.8235787E-01  6.3169720E-01  1.6300337E-01  1.2147504E-01  7.2424445E-02  0.0000000E+00  2.5037965E-02
  0.0000000E+00  7.4462465E-02  1.2337724E-01  1.6316326E-01  2.2585709E-01  2.5611446E-01  2.6891889E+00  4.8252038E-01  6.3296508E-01  1.6376117E-01  1.2264050E-01  7.4240016E-02  0.0000000E+00  2.5698601E-02
  1.2378206E-09  7.6161699E-02  1.2444646E-01  1.6378848E-01  2.2591643E-01  2.5614582E-01  2.6657699E+00  4.8259518E-01  6.3409353E-01  1.6443932E-01  1.2371200E-01  7.5937097E-02  1.2370040E-09  2.6361694E-02
  1.9081322E-03  7.7731998E-02  1.2540018E-01  1.6431690E-01  2.2585931E-01  2.5608607E-01  2.6382377E+00  4.8255993E-01  6.3505316E-01  1.6501985E-01  1.2466833E-01  7.7505649E-02  1.9068734E-03  2.7025968E-02
  4.4356705E-03  7.9225211E-02  1.2631248E-01  1.6481946E-01  2.2583299E-01  2.5602595E-01  2.6093303E+00  4.8249829E-01  6.3594286E-01  1.6557162E-01  1.2558337E-01  7.8997430E-02  4.4311207E-03  2.7690638E-02
  6.8320412E-03  8.0622540E-02  1.2714757E-01  1.6525723E-01  2.2575559E-01  2.5591228E-01  2.5808801E+00  4.8236415E-01  6.3671990E-01  1.6605711E-01  1.2642133E-01  8.0393550E-02  6.8244790E-03  2.8358297E-02
  9.1058861E-03  8.1930654E-02  1.2791116E-01  1.6563526E-01  2.2563153E-01  2.5574969E-01  2.5528954E+00  4.8216350E-01  6.3739232E-01  1.6648143E-01  1.2718787E-01  8.1700650E-02  9.0955329E-03  2.9028973E-02
  1.1265094E-02  8.3155648E-02  1.2860840E-01  1.6595812E-01  2.2546480E-01  2.5554237E-01  2.5253814E+00  4.8190181E-01  6.3796748E-01  1.6684923E-01  1.2788816E-01  8.2924803E-02  1.1252175E-02  2.9702694E-02
  1.3316916E-02  8.4303124E-02  1.2924403E-01  1.6623002E-01  2.2525904E-01  2.5529415E-01  2.4983410E+00  4.8158402E-01  6.3845213E-01  1.6716476E-01  1.2852692E-01  8.4071598E-02  1.3301624E-02  3.0379494E-02
  1.5267962E-02  8.5378017E-02  1.2982222E-01  1.6645457E-01  2.2501737E-01  2.5500832E-01  2.4717675E+00  4.8121451E-01  6.3885230E-01  1.6743168E-01  1.2910827E-01  8.5145954E-02  1.5250476E-02  3.1059399E-02
  1.7124537E-02  8.6385421E-02  1.3034729E-01  1.6663566E-01  2.2474317E-01  2.5468842E-01  2.4456731E+00  4.8079776E-01  6.3917405E-01  1.6765395E-01  1.2963657E-01  8.6152941E-02  1.7105016E-02  3.1742444E-02
  1.8892271E-02  8.7329508E-02  1.3082277E-01  1.6677634E-01  2.2443907E-01  2.5433719E-01  2.4200488E+00  4.8033744E-01  6.3942248E-01  1.6783466E-01  1.3011531E-01  8.7096728E-02  1.8870864E-02  3.2428658E-02
  2.0576425E-02  8.8214303E-02  1.3125202E-01  1.6687957E-01  2.2410759E-01  2.5395729E-01  2.3948905E+00  4.7983704E-01  6.3960247E-01  1.6797680E-01  1.3054785E-01  8.7981334E-02  2.0553277E-02  3.3118074E-02
  2.2181849E-02  8.9043492E-02  1.3163812E-01  1.6694805E-01  2.2375099E-01  2.5355112E-01  2.3701933E+00  4.7929972E-01  6.3971845E-01  1.6808313E-01  1.3093727E-01  8.8810422E-02  2.2157082E-02  3.3810724E-02
  2.3713076E-02  8.9820535E-02  1.3198397E-01  1.6698430E-01  2.2337147E-01  2.5312097E-01  2.3459513E+00  4.7872847E-01  6.3977463E-01  1.6815622E-01  1.3128645E-01  8.9587451E-02  2.3686810E-02  3.4506642E-02
  2.5174195E-02  9.0548416E-02  1.3229205E-01  1.6699045E-01  2.2297076E-01  2.5266867E-01  2.3221512E+00  4.7812580E-01  6.3977464E-01  1.6819822E-01  1.3159786E-01  9.0315401E-02  2.5146522E-02  3.5205860E-02
  2.6569289E-02  9.1230419E-02  1.3256510E-01  1.6696897E-01  2.2255098E-01  2.5219645E-01  2.2987991E+00  4.7749456E-01  6.3972239E-01  1.6821163E-01  1.3187427E-01  9.0997535E-02  2.6540324E-02  3.5908412E-02
  2.7901902E-02  9.1869118E-02  1.3280528E-01  1.6692167E-01  2.2211367E-01  2.5170590E-01  2.2758813E+00  4.7683688E-01  6.3962105E-01  1.6819833E-01  1.3211780E-01  9.1636432E-02  2.7871735E-02  3.6614335E-02
  2.9175407E-02  9.2467046E-02  1.3301468E-01  1.6685036E-01  2.2166029E-01  2.5119859E-01  2.2533900E+00  4.7615489E-01  6.3947367E-01  1.6816012E-01  1.3233054E-01  9.2234612E-02  2.9144110E-02  3.7323662E-02
  3.0392943E-02  9.3026579E-02  1.3319522E-01  1.6675671E-01  2.2119225E-01  2.5067600E-01  2.2313171E+00  4.7545055E-01  6.3928312E-01  1.6809874E-01  1.3251444E-01  9.2794456E-02  3.0360609E-02  3.8036429E-02
  3.1557476E-02  9.3549906E-02  1.3334875E-01  1.6664230E-01  2.2071085E-01  2.5013948E-01  2.2096545E+00  4.7472566E-01  6.3905205E-01  1.6801579E-01  1.3267130E-01  9.3318141E-02  3.1524165E-02  3.8752673E-02
  3.2671735E-02  9.4039082E-02  1.3347695E-01  1.6650859E-01  2.2021728E-01  2.4959028E-01  2.1883937E+00  4.7398194E-01  6.3878295E-01  1.6791274E-01  1.3280281E-01  9.3807711E-02  3.2637518E-02  3.9472431E-02
  3.3738158E-02  9.4495858E-02  1.3358120E-01  1.6635672E-01  2.1971244E-01  2.4902938E-01  2.1675195E+00  4.7322074E-01  6.3847796E-01  1.6779079E-01  1.3291038E-01  9.4264930E-02  3.3703099E-02  4.0195740E-02
  3.4759424E-02  9.4922338E-02  1.3366330E-01  1.6618829E-01  2.1919770E-01  2.4845818E-01  2.1470369E+00  4.7244385E-01  6.3813959E-01  1.6765154E-01  1.3299579E-01  9.4691880E-02  3.4723579E-02  4.0922636E-02
  3.5737651E-02  9.5320050E-02  1.3372446E-01  1.6600429E-01  2.1867382E-01  2.4787752E-01  2.1269309E+00  4.7165243E-01  6.3776967E-01  1.6749601E-01  1.3306020E-01  9.5090093E-02  3.5701079E-02  4.1653162E-02
  3.6674970E-02  9.5690541E-02  1.3376592E-01  1.6580580E-01  2.1814168E-01  2.4728828E-01  2.1071933E+00  4.7084774E-01  6.3737009E-01  1.6732531E-01  1.3310493E-01  9.5461120E-02  3.6637713E-02  4.2387354E-02
  0.0000000E+00  2.2000000E-09  4.9647651E-08  5.8176827E-02  1.4006050E-01  1.7353551E-01  2.0142393E+00  4.1161706E-01  5.2706264E-01  5.7959763E-02  4.9151122E-08  1.7000000E-09  0.0000000E+00  9.6853610E-03
  0.0000000E+00  2.6000000E-09  1.7922612E-02  6.6181737E-02  1.4466302E-01  1.7867849E-01  2.1133714E+00  4.1876028E-01  5.4380760E-01  6.6151639E-02  1.7742964E-02  3.1000000E-09  0.0000000E+00  1.0135322E-02
  0.0000000E+00  1.4000000E-09  2.6369607E-02  7.2913018E-02  1.4884529E-01  1.8318182E-01  2.1846986E+00  4.2508721E-01  5.5653376E-01  7.3019360E-02  2.6064559E-02  3.3000000E-09  0.0000000E+00  1.0636171E-02
  0.0000000E+00  2.4000000E-09  3.3477403E-02  7.8511693E-02  1.5220078E-01  1.8674953E-01  2.2308644E+00  4.3004904E-01  5.6704047E-01  7.8756325E-02  3.3082658E-02  3.1000000E-09  0.0000000E+00  1.1138624E-02
  0.0000000E+00  2.4000000E-09  3.9528829E-02  8.3218677E-02  1.5490848E-01  1.8958835E-01  2.2586861E+00  4.3394500E-01  5.7578940E-01  8.3598718E-02  3.9068715E-02  2.9000000E-09  0.0000000E+00  1.1642692E-02
  0.0000000E+00  2.2000000E-09  4.4730655E-02  8.7210257E-02  1.5709949E-01  1.9184914E-01  2.2730167E+00  4.3699583E-01  5.8312468E-01  8.7720520E-02  4.4222262E-02  3.8000000E-09  0.0000000E+00  1.2148386E-02
  0.0000000E+00  6.0338112E-09  4.9237432E-02  9.0618009E-02  1.5887155E-01  1.9364401E-01  2.2773529E+00  4.3936662E-01  5.8930649E-01  9.1252285E-02  4.8693052E-02  6.0215391E-09  0.0000000E+00  1.2655717E-02
  0.0000000E+00  4.9751018E-03  5.3112290E-02  9.3460893E-02  1.6017935E-01  1.9494076E-01  2.2650635E+00  4.4109957E-01  5.9456122E-01  9.4217980E-02  5.2541988E-02  4.9649830E-03  0.0000000E+00  1.3164576E-02
  0.0000000E+00  9.7487506E-03  5.6558892E-02  9.5999581E-02  1.6136569E-01  1.9608423E-01  2.2454099E+00  4.4248999E-01  5.9895691E-01  9.6866528E-02  5.5969951E-02  9.7091238E-03  0.0000000E+00  1.3674858E-02
  0.0000000E+00  1.4018172E-02  5.9600034E-02  9.8193594E-02  1.6229743E-01  1.9695103E-01  2.2229946E+00  4.4349114E-01  6.0269888E-01  9.9164665E-02  5.8996939E-02  1.3954156E-02  0.0000000E+00  1.4186896E-02
  0.0000000E+00  1.7851706E-02  6.2293162E-02  1.0009341E-01  1.6301476E-01  1.9758549E-01  2.1985776E+00  4.4416451E-01  6.0587965E-01  1.0116311E-01  6.1679435E-02  1.7767407E-02  0.0000000E+00  1.4700703E-02
  0.0000000E+00  2.1305969E-02  6.4684256E-02  1.0173909E-01  1.6354908E-01  1.9802237E-01  2.1727493E+00  4.4455900E-01  6.0857436E-01  1.0290223E-01  6.4062690E-02  2.1204698E-02  0.0000000E+00  1.5216291E-02
  0.0000000E+00  2.4428030E-02  6.6811550E-02  1.0316390E-01  1.6392627E-01  1.9829025E-01  2.1459584E+00  4.4471493E-01  6.1084569E-01  1.0441558E-01  6.6184372E-02  2.4312501E-02  0.0000000E+00  1.5733674E-02
  0.0000000E+00  2.7258123E-02  6.8708512E-02  1.0439706E-01  1.6416924E-01  1.9841427E-01  2.1185620E+00  4.4466727E-01  6.1274777E-01  1.0573268E-01  6.8077540E-02  2.7130580E-02  0.0000000E+00  1.6252866E-02
  0.0000000E+00  2.9830389E-02  7.0403103E-02  1.0546283E-01  1.6429681E-01  1.9841504E-01  2.0908374E+00  4.4444487E-01  6.1432601E-01  1.0687808E-01  6.9769779E-02  2.9692668E-02  0.0000000E+00  1.6773877E-02
  0.0000000E+00  3.2173631E-02  7.1918621E-02  1.0638136E-01  1.6432439E-01  1.9830951E-01  2.0629950E+00  4.4407181E-01  6.1561885E-01  1.0787220E-01  7.1284131E-02  3.2027288E-02  0.0000000E+00  1.7296729E-02
  0.0000000E+00  3.4312545E-02  7.3275000E-02  1.0716978E-01  1.6426502E-01  1.9811193E-01  2.0351940E+00  4.4356821E-01  6.1665896E-01  1.0873247E-01  7.2640317E-02  3.4158877E-02  0.0000000E+00  1.7821431E-02
  0.0000000E+00  3.6269131E-02  7.4490384E-02  1.0784381E-01  1.6413080E-01  1.9783544E-01  2.0075726E+00  4.4295233E-01  6.1747558E-01  1.0947482E-01  7.3856301E-02  3.6109237E-02  0.0000000E+00  1.8347997E-02
  0.0000000E+00  3.8061675E-02  7.5579379E-02  1.0841588E-01  1.6393093E-01  1.9749013E-01  1.9802193E+00  4.4223865E-01  6.1809286E-01  1.1011192E-01  7.4946545E-02  3.7896485E-02  0.0000000E+00  1.8876443E-02
  0.0000000E+00  3.9706915E-02  7.6555648E-02  1.0889779E-01  1.6367439E-01  1.9708569E-01  1.9532186E+00  4.4144066E-01  6.1853287E-01  1.1065579E-01  7.5924591E-02  3.9537226E-02  0.0000000E+00  1.9406782E-02
  0.0000000E+00  4.1218957E-02  7.7430510E-02  1.0929915E-01  1.6336826E-01  1.9662981E-01  1.9266232E+00  4.4056932E-01  6.1881422E-01  1.1111619E-01  7.6801658E-02  4.1045456E-02  0.0000000E+00  1.9939030E-02
  0.0000000E+00  4.2610254E-02  7.8213862E-02  1.0962833E-01  1.6301868E-01  1.9612914E-01  1.9004696E+00  4.3963413E-01  6.1895320E-01  1.1150174E-01  7.7587578E-02  4.2433510E-02  0.0000000E+00  2.0473200E-02
  0.0000000E+00  4.3892208E-02  7.8915022E-02  1.0989331E-01  1.6263156E-01  1.9559006E-01  1.8747981E+00  4.3864399E-01  6.1896477E-01  1.1182054E-01  7.8291601E-02  4.3712746E-02  0.0000000E+00  2.1009310E-02
  0.0000000E+00  4.5074565E-02  7.9541675E-02  1.1010054E-01  1.6221158E-01  1.9501761E-01  1.8496253E+00  4.3760611E-01  6.1886164E-01  1.1207919E-01  7.8921339E-02  4.4892806E-02  0.0000000E+00  2.1547380E-02
  0.0000000E+00  4.6166065E-02  8.0100801E-02  1.1025588E-01  1.6176290E-01  1.9441623E-01  1.8249651E+00  4.3652682E-01  6.1865503E-01  1.1228373E-01  7.9483766E-02  4.5982398E-02  0.0000000E+00  2.2087412E-02
  0.0000000E+00  4.7174343E-02  8.0598425E-02  1.1036435E-01  1.6128907E-01  1.9378977E-01  1.8008196E+00  4.3541168E-01  6.1835502E-01  1.1243929E-01  7.9984826E-02  4.6989092E-02  0.0000000E+00  2.2629429E-02
  7.8969509E-10  4.8106732E-02  8.1040441E-02  1.1043096E-01  1.6079373E-01  1.9314209E-01  1.7772027E+00  4.3426602E-01  6.1797089E-01  1.1255100E-01  8.0430414E-02  4.7920189E-02  7.8901453E-10  2.3173447E-02
  1.2173351E-03  4.8955933E-02  8.1410604E-02  1.1044072E-01  1.6023016E-01  1.9244671E-01  1.7510745E+00  4.3306021E-01  6.1746955E-01  1.1260487E-01  8.0804410E-02  4.8768442E-02  1.2162860E-03  2.3718339E-02
  2.7418379E-03  4.9758119E-02  8.1762502E-02  1.1044589E-01  1.5971440E-01  1.9178047E-01  1.7249008E+00  4.3188336E-01  6.1695130E-01  1.1265128E-01  8.1160138E-02  4.9569947E-02  2.7380947E-03  2.4263397E-02
  4.1803343E-03  5.0500001E-02  8.2069406E-02  1.1041650E-01  1.5917954E-01  1.9109550E-01  1.6994453E+00  4.3068072E-01  6.1636589E-01  1.1266157E-01  8.1470913E-02  5.0311310E-02  4.1741081E-03  2.4810889E-02
  5.5387619E-03  5.1185933E-02  8.2334834E-02  1.1035557E-01  1.5862778E-01  1.9039415E-01  1.6746789E+00  4.2945555E-01  6.1571896E-01  1.1263882E-01  8.1740252E-02  5.0996868E-02  5.5302601E-03  2.5360836E-02
  6.8226788E-03  5.1820380E-02  8.2562504E-02  1.1026627E-01  1.5806158E-01  1.8967897E-01  1.6505912E+00  4.2821119E-01  6.1501603E-01  1.1258630E-01  8.1971849E-02  5.1631087E-02  6.8120967E-03  2.5913265E-02
  8.0370828E-03  5.2406975E-02  8.2755311E-02  1.1015110E-01  1.5748273E-01  1.8895190E-01  1.6271544E+00  4.2695044E-01  6.1426208E-01  1.1250656E-01  8.2168592E-02  5.2217568E-02  8.0245837E-03  2.6468197E-02
  9.1865677E-03  5.2949157E-02  8.2916004E-02  1.1001238E-01  1.5689297E-01  1.8821473E-01  1.6043468E+00  4.2567568E-01  6.1346135E-01  1.1240199E-01  8.2333229E-02  5.2759743E-02  9.1723046E-03  2.7025660E-02
  1.0275353E-02  5.3450084E-02  8.3047158E-02  1.0985227E-01  1.5629381E-01  1.8746906E-01  1.5821472E+00  4.2438916E-01  6.1261787E-01  1.1227479E-01  8.2468314E-02  5.3260765E-02  1.0259466E-02  2.7585677E-02
  1.1307316E-02  5.3912639E-02  8.3151052E-02  1.0967268E-01  1.5568666E-01  1.8671636E-01  1.5605351E+00  4.2309288E-01  6.1173529E-01  1.1212696E-01  8.2576140E-02  5.3723496E-02  1.1289934E-02  2.8148274E-02
  1.2285939E-02  5.4339318E-02  8.3229648E-02  1.0947523E-01  1.5507260E-01  1.8595777E-01  1.5394836E+00  4.2178848E-01  6.1081682E-01  1.1196015E-01  8.2658649E-02  5.4150424E-02  1.2267192E-02  2.8713477E-02
  1.3214701E-02  5.4732863E-02  8.3285195E-02  1.0926186E-01  1.5445309E-01  1.8519479E-01  1.5189861E+00  4.2047793E-01  6.0986585E-01  1.1177636E-01  8.2718082E-02  5.4544292E-02  1.3194676E-02  2.9281313E-02
  1.4096558E-02  5.5095380E-02  8.3319324E-02  1.0903387E-01  1.5382898E-01  1.8442832E-01  1.4990176E+00  4.1916253E-01  6.0888505E-01  1.1157694E-01  8.2756075E-02  5.4907188E-02  1.4075363E-02  2.9851807E-02
  1.4934335E-02  5.5428926E-02  8.3333646E-02  1.0879261E-01  1.5320119E-01  1.8365930E-01  1.4795599E+00  4.1784361E-01  6.0787699E-01  1.1136327E-01  8.2774240E-02  5.5241168E-02  1.4912054E-02  3.0424988E-02
  1.5730626E-02  5.5735410E-02  8.3329658E-02  1.0853932E-01  1.5257054E-01  1.8288859E-01  1.4605955E+00  4.1652238E-01  6.0684407E-01  1.1113664E-01  8.2774055E-02  5.5548133E-02  1.5707350E-02  3.1000882E-02
  1.6487856E-02  5.6016585E-02  8.3308734E-02  1.0827508E-01  1.5193778E-01  1.8211697E-01  1.4421074E+00  4.1519993E-01  6.0578846E-01  1.1089817E-01  8.2756903E-02  5.5829833E-02  1.6463654E-02  3.1579518E-02
  1.7208145E-02  5.6273928E-02  8.3271977E-02  1.0800079E-01  1.5130342E-01  1.8134495E-01  1.4240729E+00  4.1387704E-01  6.0471201E-01  1.1064881E-01  8.2723899E-02  5.6087738E-02  1.7183091E-02  3.2160925E-02
  1.7893810E-02  5.6509246E-02  8.3220871E-02  1.0771769E-01  1.5066836E-01  1.8057347E-01  1.4064886E+00  4.1255491E-01  6.0361689E-01  1.1038981E-01  8.2676493E-02  5.6323650E-02  1.7867964E-02  3.2745129E-02
  1.8546671E-02  5.6723790E-02  8.3156325E-02  1.0742649E-01  1.5003301E-01  1.7980291E-01  1.3893335E+00  4.1123418E-01  6.0250465E-01  1.1012194E-01  8.2615624E-02  5.6538823E-02  1.8520100E-02  3.3332163E-02
  1.9168553E-02  5.6918858E-02  8.3079345E-02  1.0712800E-01  1.4939787E-01  1.7903383E-01  1.3725930E+00  4.0991561E-01  6.0137689E-01  1.0984602E-01  8.2542274E-02  5.6734545E-02  1.9141311E-02  3.3922054E-02
  1.9761135E-02  5.7095647E-02  8.2990839E-02  1.0682292E-01  1.4876338E-01  1.7826664E-01  1.3562530E+00  4.0859981E-01  6.0023505E-01  1.0956279E-01  8.2457364E-02  5.6912009E-02  1.9733268E-02  3.4514834E-02
  2.0325976E-02  5.7255280E-02  8.2891665E-02  1.0651192E-01  1.4812992E-01  1.7750174E-01  1.3403003E+00  4.0728734E-01  5.9908046E-01  1.0927297E-01  8.2361748E-02  5.7072345E-02  2.0297540E-02  3.5110533E-02
  2.0864567E-02  5.7398793E-02  8.2782601E-02  1.0619564E-01  1.4749787E-01  1.7673951E-01  1.3247219E+00  4.0597877E-01  5.9791440E-01  1.0897717E-01  8.2256199E-02  5.7216578E-02  2.0835598E-02  3.5709183E-02
  2.1378270E-02  5.7527174E-02  8.2664372E-02  1.0587465E-01  1.4686756E-01  1.7598026E-01  1.3095053E+00  4.0467454E-01  5.9673799E-01  1.0867604E-01  8.2141445E-02  5.7345691E-02  2.1348811E-02  3.6310814E-02
  0.0000000E+00  4.0000000E-09  3.9010568E-08  4.7557648E-02  1.1528609E-01  1.5770737E-01  1.7467803E+00  4.3054393E-01  5.9242968E-01  4.9164349E-02  3.8586691E-08  5.1000000E-09  0.0000000E+00  9.1768586E-03
  0.0000000E+00  4.5000000E-09  1.4100946E-02  5.2445317E-02  1.1630104E-01  1.5874436E-01  1.7512151E+00  4.3132617E-01  6.0348093E-01  5.4283301E-02  1.3947612E-02  5.5000000E-09  0.0000000E+00  9.4958878E-03
  0.0000000E+00  5.3000000E-09  1.9535037E-02  5.6319374E-02  1.1770547E-01  1.5965151E-01  1.7568903E+00  4.3193862E-01  6.1007050E-01  5.8289001E-02  1.9277151E-02  4.8000000E-09  0.0000000E+00  9.8942275E-03
  0.0000000E+00  5.1000000E-09  2.4012543E-02  5.9422387E-02  1.1865670E-01  1.6008356E-01  1.7496759E+00  4.3183010E-01  6.1499279E-01  6.1520524E-02  2.3681692E-02  4.9000000E-09  0.0000000E+00  1.0293831E-02
  0.0000000E+00  4.5000000E-09  2.7747027E-02  6.1931363E-02  1.1926532E-01  1.6016483E-01  1.7340339E+00  4.3118942E-01  6.1862819E-01  6.4151630E-02  2.7364422E-02  5.3000000E-09  0.0000000E+00  1.0694706E-02
  0.0000000E+00  4.5000000E-09  3.0892670E-02  6.3973428E-02  1.1961031E-01  1.5998300E-01  1.7129300E+00  4.3015207E-01  6.2125600E-01  6.6308201E-02  3.0472936E-02  5.8000000E-09  0.0000000E+00  1.1096862E-02
  0.0000000E+00  4.2984642E-09  3.3564057E-02  6.5642831E-02  1.1974996E-01  1.5960180E-01  1.6883479E+00  4.2881716E-01  6.2308487E-01  6.8084245E-02  3.3117604E-02  4.2884846E-09  0.0000000E+00  1.1500306E-02
  0.0000000E+00  3.5442431E-03  3.5803146E-02  6.6940917E-02  1.1962160E-01  1.5894988E-01  1.6533444E+00  4.2713575E-01  6.2425100E-01  6.9486019E-02  3.5338448E-02  3.5360146E-03  0.0000000E+00  1.1904940E-02
  0.0000000E+00  6.5198897E-03  3.7765404E-02  6.8076492E-02  1.1951015E-01  1.5834661E-01  1.6184969E+00  4.2546654E-01  6.2492255E-01  7.0712318E-02  3.7288319E-02  6.4878185E-03  0.0000000E+00  1.2310659E-02
  0.0000000E+00  9.1498318E-03  3.9461924E-02  6.9002378E-02  1.1927922E-01  1.5763278E-01  1.5839651E+00  4.2364307E-01  6.2516648E-01  7.1722638E-02  3.8976053E-02  9.0983086E-03  0.0000000E+00  1.2717761E-02
  0.0000000E+00  1.1483746E-02  4.0932029E-02  6.9751567E-02  1.1895092E-01  1.5683157E-01  1.5500132E+00  4.2169962E-01  6.2505236E-01  7.2550424E-02  4.0440145E-02  1.1416237E-02  0.0000000E+00  1.3126256E-02
  0.0000000E+00  1.3562847E-02  4.2209412E-02  7.0352349E-02  1.1854451E-01  1.5596287E-01  1.5168192E+00  4.1966492E-01  6.2463848E-01  7.3224388E-02  4.1713682E-02  1.3482129E-02  0.0000000E+00  1.3536154E-02
  0.0000000E+00  1.5420743E-02  4.3320037E-02  7.0826154E-02  1.1807376E-01  1.5504078E-01  1.4844939E+00  4.1756022E-01  6.2397097E-01  7.3766415E-02  4.2822178E-02  1.5329096E-02  0.0000000E+00  1.3947466E-02
  0.0000000E+00  1.7086252E-02  4.4287237E-02  7.1192407E-02  1.1755154E-01  1.5407832E-01  1.4531113E+00  4.1540425E-01  6.2308975E-01  7.4196295E-02  4.3788588E-02  1.6985508E-02  0.0000000E+00  1.4360203E-02
  0.0000000E+00  1.8582919E-02  4.5129138E-02  7.1465859E-02  1.1698701E-01  1.5308466E-01  1.4227024E+00  4.1321075E-01  6.2202665E-01  7.4529142E-02  4.4630758E-02  1.8474589E-02  0.0000000E+00  1.4774374E-02
  0.0000000E+00  1.9931339E-02  4.5862236E-02  7.1660048E-02  1.1638892E-01  1.5206842E-01  1.3932878E+00  4.1099211E-01  6.2080963E-01  7.4778853E-02  4.5364978E-02  1.9816693E-02  0.0000000E+00  1.5189992E-02
  0.0000000E+00  2.1148630E-02  4.6499727E-02  7.1785647E-02  1.1576370E-01  1.5103586E-01  1.3648623E+00  4.0875760E-01  6.1946141E-01  7.4956368E-02  4.6004276E-02  2.1028717E-02  0.0000000E+00  1.5607068E-02
  0.0000000E+00  2.2249436E-02  4.7052962E-02  7.1851684E-02  1.1511674E-01  1.4999212E-01  1.3374076E+00  4.0651481E-01  6.1800127E-01  7.5071021E-02  4.6559823E-02  2.2125113E-02  0.0000000E+00  1.6025611E-02
  0.0000000E+00  2.3246852E-02  4.7532238E-02  7.1866518E-02  1.1445317E-01  1.4894206E-01  1.3109110E+00  4.0427060E-01  6.1644630E-01  7.5131405E-02  4.7041846E-02  2.3118883E-02  0.0000000E+00  1.6445634E-02
  0.0000000E+00  2.4151805E-02  4.7945928E-02  7.1836729E-02  1.1377674E-01  1.4788914E-01  1.2853421E+00  4.0203005E-01  6.1481054E-01  7.5144332E-02  4.7458618E-02  2.4020806E-02  0.0000000E+00  1.6867148E-02
  0.0000000E+00  2.4973700E-02  4.8301158E-02  7.1767865E-02  1.1309048E-01  1.4683608E-01  1.2606655E+00  3.9979719E-01  6.1310595E-01  7.5115576E-02  4.7817185E-02  2.4840203E-02  0.0000000E+00  1.7290163E-02
  0.0000000E+00  2.5721300E-02  4.8604769E-02  7.1665376E-02  1.1239760E-01  1.4578580E-01  1.2368587E+00  3.9757596E-01  6.1134343E-01  7.5050760E-02  4.8124338E-02  2.5585747E-02  0.0000000E+00  1.7714693E-02
  0.0000000E+00  2.6401821E-02  4.8862197E-02  7.1533412E-02  1.1170024E-01  1.4474010E-01  1.2138844E+00  3.9536905E-01  6.0953187E-01  7.4954227E-02  4.8385477E-02  2.6264607E-02  0.0000000E+00  1.8140750E-02
  0.0000000E+00  2.7021565E-02  4.9078164E-02  7.1375552E-02  1.1100019E-01  1.4370046E-01  1.1917040E+00  3.9317861E-01  6.0767894E-01  7.4829689E-02  4.8605254E-02  2.6883019E-02  0.0000000E+00  1.8568345E-02
  0.0000000E+00  2.7586597E-02  4.9257325E-02  7.1195422E-02  1.1029945E-01  1.4266861E-01  1.1702942E+00  3.9100688E-01  6.0579185E-01  7.4680941E-02  4.8788318E-02  2.7447012E-02  0.0000000E+00  1.8997489E-02
  0.0000000E+00  2.8101833E-02  4.9403313E-02  7.0995729E-02  1.0959925E-01  1.4164546E-01  1.1496175E+00  3.8885518E-01  6.0387632E-01  7.4510805E-02  4.8938267E-02  2.7961443E-02  0.0000000E+00  1.9428194E-02
  4.7516092E-10  2.8571789E-02  4.9519511E-02  7.0778989E-02  1.0890080E-01  1.4063194E-01  1.1296428E+00  3.8672475E-01  6.0193757E-01  7.4321916E-02  4.9058457E-02  2.8430816E-02  4.7465188E-10  1.9860475E-02
  7.3247265E-04  2.8991447E-02  4.9594284E-02  7.0533440E-02  1.0816744E-01  1.3960279E-01  1.1082538E+00  3.8457625E-01  5.9993038E-01  7.4103247E-02  4.9137400E-02  2.8850152E-02  7.3168794E-04  2.0293362E-02
  1.6002668E-03  2.9384928E-02  4.9664384E-02  7.0296906E-02  1.0748670E-01  1.3862384E-01  1.0874112E+00  3.8251081E-01  5.9797519E-01  7.3891366E-02  4.9211574E-02  2.9243489E-02  1.5974536E-03  2.0726232E-02
  2.4150915E-03  2.9743097E-02  4.9710836E-02  7.0046433E-02  1.0680622E-01  1.3765137E-01  1.0673095E+00  3.8046107E-01  5.9600161E-01  7.3664228E-02  4.9262112E-02  2.9601629E-02  2.4104320E-03  2.1161019E-02
  3.1808517E-03  3.0068828E-02  4.9735876E-02  6.9783730E-02  1.0612696E-01  1.3668619E-01  1.0479123E+00  3.7842800E-01  5.9401301E-01  7.3423600E-02  4.9291196E-02  2.9927436E-02  3.1744979E-03  2.1597740E-02
  3.9010933E-03  3.0364746E-02  4.9741484E-02  6.9510378E-02  1.0544977E-01  1.3572894E-01  1.0291859E+00  3.7641246E-01  5.9201242E-01  7.3171138E-02  4.9300818E-02  3.0223530E-02  3.8932014E-03  2.2036414E-02
  4.5789994E-03  3.0633056E-02  4.9729304E-02  6.9227556E-02  1.0477521E-01  1.3478005E-01  1.0110923E+00  3.7441497E-01  5.9000238E-01  7.2908113E-02  4.9292640E-02  3.0492102E-02  4.5697018E-03  2.2477060E-02
  5.2176328E-03  3.0876195E-02  4.9701265E-02  6.8936798E-02  1.0410417E-01  1.3384021E-01  9.9361161E-01  3.7243636E-01  5.8798556E-01  7.2636078E-02  4.9268549E-02  3.0735571E-02  5.2070509E-03  2.2919697E-02
  5.8196514E-03  3.1095982E-02  4.9658683E-02  6.8639059E-02  1.0343706E-01  1.3290970E-01  9.7671043E-01  3.7047694E-01  5.8596400E-01  7.2356076E-02  4.9229882E-02  3.0955746E-02  5.8078944E-03  2.3364346E-02
  6.3875294E-03  3.1294186E-02  4.9602883E-02  6.8335309E-02  1.0277430E-01  1.3198879E-01  9.6036134E-01  3.6853702E-01  5.8393956E-01  7.2069119E-02  4.9177954E-02  3.1154397E-02  6.3746919E-03  2.3811025E-02
  6.9235354E-03  3.1472437E-02  4.9535078E-02  6.8026431E-02  1.0211631E-01  1.3107773E-01  9.4453891E-01  3.6661687E-01  5.8191399E-01  7.1776140E-02  4.9113980E-02  3.1333152E-02  6.9097176E-03  2.4259757E-02
  7.4297654E-03  3.1632228E-02  4.9456363E-02  6.7713235E-02  1.0146340E-01  1.3017671E-01  9.2921951E-01  3.6471668E-01  5.7988882E-01  7.1477993E-02  4.9039032E-02  3.1493472E-02  7.4150396E-03  2.4710560E-02
  7.9081415E-03  3.1774916E-02  4.9367739E-02  6.7396408E-02  1.0081587E-01  1.2928586E-01  9.1438034E-01  3.6283654E-01  5.7786540E-01  7.1175412E-02  4.8954131E-02  3.1636731E-02  7.8925884E-03  2.5163456E-02
  8.3603117E-03  3.1901595E-02  4.9269943E-02  6.7076436E-02  1.0017378E-01  1.2840512E-01  8.9999385E-01  3.6097635E-01  5.7584479E-01  7.0868938E-02  4.8860013E-02  3.1764023E-02  8.3440002E-03  2.5618467E-02
  8.7881263E-03  3.2013708E-02  4.9164104E-02  6.6754200E-02  9.9537625E-02  1.2753486E-01  8.8605177E-01  3.5913645E-01  5.7382840E-01  7.0559470E-02  4.8757797E-02  3.1876763E-02  8.7711095E-03  2.6075613E-02
  9.1929788E-03  3.2112152E-02  4.9050827E-02  6.6430061E-02  9.8907437E-02  1.2667498E-01  8.7252891E-01  3.5731666E-01  5.7181705E-01  7.0247415E-02  4.8648097E-02  3.1975869E-02  9.1753257E-03  2.6534916E-02
  9.5762878E-03  3.2197908E-02  4.8930799E-02  6.6104486E-02  9.8283321E-02  1.2582546E-01  8.5940727E-01  3.5551689E-01  5.6981160E-01  6.9933272E-02  4.8531596E-02  3.2062307E-02  9.5580541E-03  2.6996399E-02
  9.9393225E-03  3.2271855E-02  4.8804656E-02  6.5777874E-02  9.7665401E-02  1.2498630E-01  8.4667010E-01  3.5373707E-01  5.6781283E-01  6.9617475E-02  4.8408923E-02  3.2136960E-02  9.9205517E-03  2.7460084E-02
  1.0283303E-02  3.2334827E-02  4.8672963E-02  6.5450620E-02  9.7053730E-02  1.2415745E-01  8.3430106E-01  3.5197704E-01  5.6582142E-01  6.9300444E-02  4.8280645E-02  3.2200634E-02  1.0264033E-02  2.7925995E-02
  1.0609326E-02  3.2387574E-02  4.8536262E-02  6.5123070E-02  9.6448389E-02  1.2333887E-01  8.2228483E-01  3.5023670E-01  5.6383799E-01  6.8982551E-02  4.8147312E-02  3.2254111E-02  1.0589604E-02  2.8394154E-02
  1.0918318E-02  3.2430661E-02  4.8394867E-02  6.4795360E-02  9.5849273E-02  1.2253035E-01  8.1060080E-01  3.4851572E-01  5.6186293E-01  6.8663961E-02  4.8009238E-02  3.2297929E-02  1.0898184E-02  2.8864586E-02
  1.1211464E-02  3.2465012E-02  4.8249523E-02  6.4468051E-02  9.5256675E-02  1.2173209E-01  7.9924718E-01  3.4681419E-01  5.5989701E-01  6.8345273E-02  4.7867157E-02  3.2333022E-02  1.1190954E-02  2.9337314E-02
  1.1489550E-02  3.2491086E-02  4.8100483E-02  6.4141266E-02  9.4670462E-02  1.2094385E-01  7.8820485E-01  3.4513178E-01  5.5794050E-01  6.8026605E-02  4.7721334E-02  3.2359848E-02  1.1468689E-02  2.9812362E-02
  1.1753407E-02  3.2509441E-02  4.7948127E-02  6.3815197E-02  9.4090658E-02  1.2016555E-01  7.7746157E-01  3.4346830E-01  5.5599379E-01  6.7708202E-02  4.7572147E-02  3.2378964E-02  1.1732227E-02  3.0289756E-02
  0.0000000E+00  2.4000000E-09  3.2307521E-08  4.1716111E-02  9.9384813E-02  1.4612815E-01  1.5407050E+00  4.3644365E-01  6.3314440E-01  4.4584136E-02  3.1939483E-08  2.2000000E-09  0.0000000E+00  8.6056454E-03
  0.0000000E+00  3.9000000E-09  1.1690206E-02  4.4817425E-02  9.9611138E-02  1.4514739E-01  1.5163622E+00  4.3389869E-01  6.3774515E-01  4.7822822E-02  1.1557076E-02  3.4000000E-09  0.0000000E+00  8.9462076E-03
  0.0000000E+00  3.5000000E-09  1.5689818E-02  4.7291464E-02  9.9769378E-02  1.4419736E-01  1.4940374E+00  4.3112088E-01  6.4027113E-01  5.0414440E-02  1.5467191E-02  2.4000000E-09  0.0000000E+00  9.2874621E-03
  0.0000000E+00  4.1000000E-09  1.8947741E-02  4.9210805E-02  9.9685164E-02  1.4306347E-01  1.4658659E+00  4.2805234E-01  6.4152047E-01  5.2445135E-02  1.8663618E-02  2.7000000E-09  0.0000000E+00  9.6297916E-03
  0.0000000E+00  3.1000000E-09  2.1632628E-02  5.0706671E-02  9.9422994E-02  1.4180892E-01  1.4345889E+00  4.2480117E-01  6.4181298E-01  5.4044101E-02  2.1305625E-02  2.0000000E-09  0.0000000E+00  9.9732024E-03
  0.0000000E+00  2.9000000E-09  2.3867319E-02  5.1874385E-02  9.9029894E-02  1.4047800E-01  1.4018715E+00  4.2144328E-01  6.4138162E-01  5.5306243E-02  2.3510152E-02  2.1000000E-09  0.0000000E+00  1.0317703E-02
  0.0000000E+00  3.3755828E-09  2.5741936E-02  5.2783344E-02  9.8539437E-02  1.3910082E-01  1.3687571E+00  4.1803092E-01  6.4039682E-01  5.6301234E-02  2.5363560E-02  3.3671605E-09  0.0000000E+00  1.0663299E-02
  0.0000000E+00  2.7832930E-03  2.7287522E-02  5.3424352E-02  9.7881451E-02  1.3758139E-01  1.3285256E+00  4.1445106E-01  6.3892065E-01  5.7024501E-02  2.6895206E-02  2.7763485E-03  0.0000000E+00  1.1009899E-02
  0.0000000E+00  4.9528298E-03  2.8629777E-02  5.3974681E-02  9.7301797E-02  1.3622069E-01  1.2912247E+00  4.1110956E-01  6.3721595E-01  5.7645129E-02  2.8228420E-02  4.9258638E-03  0.0000000E+00  1.1357401E-02
  0.0000000E+00  6.8572359E-03  2.9774344E-02  5.4383010E-02  9.6666078E-02  1.3483817E-01  1.2554399E+00  4.0775654E-01  6.3523551E-01  5.8117616E-02  2.9366959E-02  6.8140611E-03  0.0000000E+00  1.1706080E-02
  0.0000000E+00  8.5359751E-03  3.0752066E-02  5.4673728E-02  9.5988046E-02  1.3344563E-01  1.2211881E+00  4.0441006E-01  6.3303471E-01  5.8466877E-02  3.0340943E-02  8.4795672E-03  0.0000000E+00  1.2055944E-02
  0.0000000E+00  1.0021073E-02  3.1587535E-02  5.4866024E-02  9.5277925E-02  1.3205141E-01  1.1884466E+00  4.0108301E-01  6.3065737E-01  5.8712643E-02  3.1174435E-02  9.9538297E-03  0.0000000E+00  1.2407001E-02
  0.0000000E+00  1.1339509E-02  3.2302387E-02  5.4976977E-02  9.4545288E-02  1.3066327E-01  1.1571784E+00  3.9778648E-01  6.2814040E-01  5.8872457E-02  3.1888686E-02  1.1263374E-02  0.0000000E+00  1.2759261E-02
  0.0000000E+00  1.2513088E-02  3.2912849E-02  5.5018877E-02  9.3796094E-02  1.2928544E-01  1.1273229E+00  3.9452704E-01  6.2551212E-01  5.8959015E-02  3.2499614E-02  1.2429608E-02  0.0000000E+00  1.3112733E-02
  0.0000000E+00  1.3560772E-02  3.3433964E-02  5.5003368E-02  9.3036547E-02  1.2792252E-01  1.0988254E+00  3.9131091E-01  6.2279712E-01  5.8984373E-02  3.3022027E-02  1.3471260E-02  0.0000000E+00  1.3467426E-02
  0.0000000E+00  1.4497875E-02  3.3877020E-02  5.4938826E-02  9.2270391E-02  1.2657675E-01  1.0716128E+00  3.8814136E-01  6.2001434E-01  5.8957231E-02  3.3467037E-02  1.4403368E-02  0.0000000E+00  1.3823348E-02
  0.0000000E+00  1.5338073E-02  3.4252730E-02  5.4833389E-02  9.1501695E-02  1.2525077E-01  1.0456263E+00  3.8502167E-01  6.1718050E-01  5.8886038E-02  3.3845188E-02  1.5239454E-02  0.0000000E+00  1.4180510E-02
  0.0000000E+00  1.6092400E-02  3.4569186E-02  5.4692903E-02  9.0732823E-02  1.2394565E-01  1.0207930E+00  3.8195324E-01  6.1430854E-01  5.8776925E-02  3.4164500E-02  1.5990402E-02  0.0000000E+00  1.4538920E-02
  0.0000000E+00  1.6770916E-02  3.4834146E-02  5.4523129E-02  8.9966446E-02  1.2266286E-01  9.9705632E-01  3.7893755E-01  6.1140996E-01  5.8635876E-02  3.4432598E-02  1.6666142E-02  0.0000000E+00  1.4898589E-02
  0.0000000E+00  1.7381903E-02  3.5053714E-02  5.4328426E-02  8.9204239E-02  1.2140292E-01  9.7435198E-01  3.7597500E-01  6.0849386E-01  5.8467503E-02  3.4655538E-02  1.7274876E-02  0.0000000E+00  1.5259525E-02
  0.0000000E+00  1.7932500E-02  3.5233106E-02  5.4112442E-02  8.8447445E-02  1.2016604E-01  9.5261718E-01  3.7306554E-01  6.0556780E-01  5.8275640E-02  3.4838481E-02  1.7823651E-02  0.0000000E+00  1.5621739E-02
  0.0000000E+00  1.8429345E-02  3.5377374E-02  5.3878821E-02  8.7697635E-02  1.1895282E-01  9.3180484E-01  3.7020935E-01  6.0263858E-01  5.8064122E-02  3.4986419E-02  1.8319052E-02  0.0000000E+00  1.5985241E-02
  0.0000000E+00  1.8877846E-02  3.5490408E-02  5.3630207E-02  8.6955533E-02  1.1776308E-01  9.1185936E-01  3.6740579E-01  5.9971143E-01  5.7835751E-02  3.5103221E-02  1.8766409E-02  0.0000000E+00  1.6350040E-02
  0.0000000E+00  1.9282871E-02  3.5575781E-02  5.3369047E-02  8.6221885E-02  1.1659673E-01  8.9273176E-01  3.6465424E-01  5.9679090E-01  5.7593102E-02  3.5192406E-02  1.9170566E-02  0.0000000E+00  1.6716146E-02
  0.0000000E+00  1.9648542E-02  3.5636400E-02  5.3097221E-02  8.5497080E-02  1.1545338E-01  8.7437115E-01  3.6195374E-01  5.9388061E-01  5.7338215E-02  3.5256879E-02  1.9535598E-02  0.0000000E+00  1.7083570E-02
  0.0000000E+00  1.9978934E-02  3.5675313E-02  5.2816836E-02  8.4781877E-02  1.1433306E-01  8.5674386E-01  3.5930372E-01  5.9098405E-01  5.7073315E-02  3.5299660E-02  1.9865541E-02  0.0000000E+00  1.7452322E-02
  3.4040232E-10  2.0277265E-02  3.5694766E-02  5.2529318E-02  8.4076449E-02  1.1323526E-01  8.3980538E-01  3.5670305E-01  5.8810369E-01  5.6799936E-02  3.5322977E-02  2.0163581E-02  3.3999461E-10  1.7822413E-02
  5.2473883E-04  2.0539752E-02  3.5685740E-02  5.2224834E-02  8.3350015E-02  1.1213599E-01  8.2190975E-01  3.5410642E-01  5.8518390E-01  5.6508714E-02  3.5317942E-02  2.0426011E-02  5.2411032E-04  1.8192974E-02
  1.1262480E-03  2.0784240E-02  3.5675988E-02  5.1933274E-02  8.2674080E-02  1.1109387E-01  8.0465975E-01  3.5162251E-01  5.8236367E-01  5.6228820E-02  3.5312069E-02  2.0670562E-02  1.1239860E-03  1.8563434E-02
  1.6893381E-03  2.1004098E-02  3.5651104E-02  5.1635949E-02  8.2005118E-02  1.1006865E-01  7.8809143E-01  3.4917649E-01  5.7955634E-01  5.5942116E-02  3.5291024E-02  2.0890587E-02  1.6855994E-03  1.8935524E-02
  2.2169244E-03  2.1201317E-02  3.5612512E-02  5.1333810E-02  8.1343368E-02  1.0906017E-01  7.7216301E-01  3.4676781E-01  5.7676354E-01  5.5649616E-02  3.5256232E-02  2.1088044E-02  2.2118425E-03  1.9309260E-02
  2.7116730E-03  2.1377802E-02  3.5561609E-02  5.1027802E-02  8.0689124E-02  1.0806833E-01  7.5683963E-01  3.4439607E-01  5.7398681E-01  5.5352341E-02  3.5209088E-02  2.1264841E-02  2.7053645E-03  1.9684657E-02
  3.1759910E-03  2.1535291E-02  3.5499659E-02  5.0718766E-02  8.0042610E-02  1.0709299E-01  7.4208882E-01  3.4206075E-01  5.7122746E-01  5.5051176E-02  3.5150845E-02  2.1422697E-02  3.1685692E-03  2.0061731E-02
  3.6120699E-03  2.1675314E-02  3.5427772E-02  5.0407410E-02  7.9404002E-02  1.0613398E-01  7.2788029E-01  3.3976134E-01  5.6848657E-01  5.4746893E-02  3.5082625E-02  2.1563153E-02  3.6036322E-03  2.0440499E-02
  4.0218446E-03  2.1799177E-02  3.5346841E-02  5.0094263E-02  7.8773277E-02  1.0519096E-01  7.1418022E-01  3.3749711E-01  5.6576496E-01  5.4440058E-02  3.5005295E-02  2.1687484E-02  4.0124835E-03  2.0820977E-02
  4.4072777E-03  2.1908429E-02  3.5258039E-02  4.9780167E-02  7.8150799E-02  1.0426398E-01  7.0097276E-01  3.3526775E-01  5.6306367E-01  5.4131574E-02  3.4920049E-02  2.1797245E-02  4.3970738E-03  2.1203183E-02
  4.7699860E-03  2.2004101E-02  3.5162062E-02  4.9465492E-02  7.7536515E-02  1.0335268E-01  6.8822815E-01  3.3307254E-01  5.6038320E-01  5.3821850E-02  3.4827575E-02  2.1893459E-02  4.7590115E-03  2.1587133E-02
  5.1114964E-03  2.2087265E-02  3.5059657E-02  4.9150676E-02  7.6930419E-02  1.0245679E-01  6.7592328E-01  3.3091084E-01  5.5772413E-01  5.3511363E-02  3.4728617E-02  2.1977202E-02  5.0998207E-03  2.1972846E-02
  5.4332310E-03  2.2158904E-02  3.4951496E-02  4.8836124E-02  7.6332517E-02  1.0157605E-01  6.6403652E-01  3.2878201E-01  5.5508684E-01  5.3200546E-02  3.4623837E-02  2.2049441E-02  5.4209132E-03  2.2360338E-02
  5.7364850E-03  2.2219896E-02  3.4838193E-02  4.8522183E-02  7.5742802E-02  1.0071019E-01  6.5254752E-01  3.2668544E-01  5.5247169E-01  5.2889800E-02  3.4513859E-02  2.2111050E-02  5.7235800E-03  2.2749627E-02
  6.0223536E-03  2.2270922E-02  3.4720159E-02  4.8208996E-02  7.5161084E-02  9.9858778E-02  6.4143176E-01  3.2462035E-01  5.4987881E-01  5.2579290E-02  3.4399100E-02  2.2162722E-02  6.0089172E-03  2.3140732E-02
  6.2921266E-03  2.2312991E-02  3.4598150E-02  4.7897130E-02  7.4587585E-02  9.9021819E-02  6.3068185E-01  3.2258638E-01  5.4730864E-01  5.2269607E-02  3.4280313E-02  2.2205444E-02  6.2781964E-03  2.3533672E-02
  6.5467217E-03  2.2346660E-02  3.4472508E-02  4.7586654E-02  7.4022101E-02  9.8198877E-02  6.2027593E-01  3.2058275E-01  5.4476120E-01  5.1960864E-02  3.4157838E-02  2.2239779E-02  6.5323470E-03  2.3928465E-02
  6.7870904E-03  2.2372561E-02  3.4343641E-02  4.7277817E-02  7.3464555E-02  9.7389678E-02  6.1019817E-01  3.1860887E-01  5.4223657E-01  5.1653312E-02  3.4032073E-02  2.2266357E-02  6.7723123E-03  2.4325129E-02
  7.0140945E-03  2.2391261E-02  3.4211911E-02  4.6970758E-02  7.2914855E-02  9.6593928E-02  6.0043368E-01  3.1666408E-01  5.3973475E-01  5.1347147E-02  3.3903408E-02  2.2285745E-02  6.9989509E-03  2.4723687E-02
  7.2285462E-03  2.2403307E-02  3.4077682E-02  4.6665663E-02  7.2372930E-02  9.5811358E-02  5.9096842E-01  3.1474782E-01  5.3725576E-01  5.1042551E-02  3.3772174E-02  2.2298479E-02  7.2130619E-03  2.5124155E-02
  7.4311915E-03  2.2409177E-02  3.3941243E-02  4.6362656E-02  7.1838659E-02  9.5041677E-02  5.8178916E-01  3.1285946E-01  5.3479954E-01  5.0739686E-02  3.3638694E-02  2.2305046E-02  7.4154002E-03  2.5526554E-02
  7.6226202E-03  2.2409194E-02  3.3802766E-02  4.6061725E-02  7.1311814E-02  9.4284485E-02  5.7287801E-01  3.1099828E-01  5.3236590E-01  5.0438545E-02  3.3503114E-02  2.2305759E-02  7.6065518E-03  2.5930906E-02
  7.8036811E-03  2.2404033E-02  3.3662755E-02  4.5763235E-02  7.0792530E-02  9.3539744E-02  5.6423362E-01  3.0916397E-01  5.2995495E-01  5.0139527E-02  3.3365948E-02  2.2301304E-02  7.7873578E-03  2.6337229E-02
  7.9748766E-03  2.2393949E-02  3.3521316E-02  4.5467137E-02  7.0280584E-02  9.2807075E-02  5.5583982E-01  3.0735584E-01  5.2756648E-01  4.9842598E-02  3.3227313E-02  2.2291925E-02  7.9583246E-03  2.6745547E-02
  0.0000000E+00  3.3000000E-09  2.6599590E-08  3.6707334E-02  8.5760057E-02  1.3421795E-01  1.3426139E+00  4.3722145E-01  6.6677419E-01  4.0689262E-02  2.6283060E-08  1.5000000E-09  0.0000000E+00  7.9621445E-03
  0.0000000E+00  4.0000000E-09  9.6243217E-03  3.8436436E-02  8.5094453E-02  1.3150964E-01  1.2940612E+00  4.3172396E-01  6.6675662E-01  4.2514444E-02  9.5098392E-03  2.3000000E-09  0.0000000E+00  8.2848230E-03
  0.0000000E+00  2.5000000E-09  1.2634626E-02  3.9976855E-02  8.4590789E-02  1.2930809E-01  1.2590507E+00  4.2605782E-01  6.6509646E-01  4.4138133E-02  1.2444152E-02  3.2000000E-09  0.0000000E+00  8.5784787E-03
  0.0000000E+00  3.2000000E-09  1.5063299E-02  4.1114259E-02  8.3968802E-02  1.2714186E-01  1.2225591E+00  4.2051356E-01  6.6262910E-01  4.5352999E-02  1.4821279E-02  4.1000000E-09  0.0000000E+00  8.8730528E-03
  0.0000000E+00  3.3000000E-09  1.7045231E-02  4.1949004E-02  8.3266498E-02  1.2502735E-01  1.1859924E+00  4.1511530E-01  6.5959194E-01  4.6258027E-02  1.6767847E-02  3.7000000E-09  0.0000000E+00  9.1685511E-03
  0.0000000E+00  2.9000000E-09  1.8677479E-02  4.2552310E-02  8.2510259E-02  1.2297323E-01  1.1501499E+00  4.0987588E-01  6.5615385E-01  4.6924152E-02  1.8375668E-02  3.5000000E-09  0.0000000E+00  9.4649798E-03
  0.0000000E+00  2.6778696E-09  2.0031722E-02  4.2976269E-02  8.1719120E-02  1.2098382E-01  1.1154678E+00  4.0480067E-01  6.5243605E-01  4.7403869E-02  1.9713109E-02  2.6708001E-09  0.0000000E+00  9.7623456E-03
  0.0000000E+00  2.2080025E-03  2.1131305E-02  4.3205088E-02  8.0823139E-02  1.1894608E-01  1.0757911E+00  3.9971506E-01  6.4840991E-01  4.7685122E-02  2.0802092E-02  2.2021734E-03  0.0000000E+00  1.0060561E-02
  0.0000000E+00  3.8296728E-03  2.2078182E-02  4.3391346E-02  8.0033310E-02  1.1714194E-01  1.0401617E+00  3.9506703E-01  6.4444710E-01  4.7914503E-02  2.1742429E-02  3.8071232E-03  0.0000000E+00  1.0359534E-02
  0.0000000E+00  5.2449052E-03  2.2874925E-02  4.3482192E-02  7.9224181E-02  1.1537840E-01  1.0065031E+00  3.9053036E-01  6.4036952E-01  4.8043442E-02  2.2535101E-02  5.2088887E-03  0.0000000E+00  1.0659512E-02
  0.0000000E+00  6.4849869E-03  2.3545205E-02  4.3495048E-02  7.8403420E-02  1.1365769E-01  9.7470695E-01  3.8610696E-01  6.3621469E-01  4.8089858E-02  2.3203207E-02  6.4380766E-03  0.0000000E+00  1.0960502E-02
  0.0000000E+00  7.5757735E-03  2.4109539E-02  4.3445162E-02  7.7578188E-02  1.1198220E-01  9.4466182E-01  3.8179818E-01  6.3201314E-01  4.8069470E-02  2.3766801E-02  7.5200008E-03  0.0000000E+00  1.1262513E-02
  0.0000000E+00  8.5380954E-03  2.4583174E-02  4.3343284E-02  7.6752513E-02  1.1035170E-01  9.1625325E-01  3.7760225E-01  6.2778718E-01  4.7993458E-02  2.4240789E-02  8.4751003E-03  0.0000000E+00  1.1565551E-02
  0.0000000E+00  9.3897785E-03  2.4980040E-02  4.3199460E-02  7.5930757E-02  1.0876677E-01  8.8937679E-01  3.7351800E-01  6.2355566E-01  4.7872244E-02  2.4638847E-02  9.3208788E-03  0.0000000E+00  1.1869624E-02
  0.0000000E+00  1.0145131E-02  2.5310537E-02  4.3020781E-02  7.5115127E-02  1.0722630E-01  8.6392413E-01  3.6954233E-01  6.1933222E-01  4.7713244E-02  2.4971193E-02  1.0071404E-02  0.0000000E+00  1.2174741E-02
  0.0000000E+00  1.0816748E-02  2.5584362E-02  4.2814018E-02  7.4308288E-02  1.0572992E-01  8.3980335E-01  3.6567279E-01  6.1512850E-01  4.7523527E-02  2.5247364E-02  1.0739078E-02  0.0000000E+00  1.2480908E-02
  0.0000000E+00  1.1414919E-02  2.5809006E-02  4.2584146E-02  7.3511622E-02  1.0427635E-01  8.1692125E-01  3.6190597E-01  6.1095304E-01  4.7308349E-02  2.5474726E-02  1.1334040E-02  0.0000000E+00  1.2788133E-02
  0.0000000E+00  1.1948299E-02  2.5990786E-02  4.2335236E-02  7.2726072E-02  1.0286412E-01  7.9518861E-01  3.5823829E-01  6.0681241E-01  4.7071976E-02  2.5659506E-02  1.1864808E-02  0.0000000E+00  1.3096426E-02
  0.0000000E+00  1.2424817E-02  2.6135690E-02  4.2071298E-02  7.1952981E-02  1.0149241E-01  7.7453500E-01  3.5466678E-01  6.0271235E-01  4.6818642E-02  2.5807615E-02  1.2339224E-02  0.0000000E+00  1.3405793E-02
  0.0000000E+00  1.2850822E-02  2.6248254E-02  4.1795123E-02  7.1192756E-02  1.0015964E-01  7.5488459E-01  3.5118786E-01  5.9865670E-01  4.6551351E-02  2.5923549E-02  1.2763554E-02  0.0000000E+00  1.3716243E-02
  0.0000000E+00  1.3231780E-02  2.6332337E-02  4.1509027E-02  7.0445609E-02  9.8864284E-02  7.3616571E-01  3.4779795E-01  5.9464838E-01  4.6272559E-02  2.6011111E-02  1.3143188E-02  0.0000000E+00  1.4027785E-02
  0.0000000E+00  1.3572902E-02  2.6391841E-02  4.1215498E-02  6.9712202E-02  9.7605363E-02  7.1832541E-01  3.4449413E-01  5.9068999E-01  4.5984907E-02  2.6074167E-02  1.3483284E-02  0.0000000E+00  1.4340426E-02
  0.0000000E+00  1.3878271E-02  2.6429599E-02  4.0916136E-02  6.8992450E-02  9.6381326E-02  7.0130298E-01  3.4127303E-01  5.8678301E-01  4.5690125E-02  2.6115520E-02  1.3787885E-02  0.0000000E+00  1.4654175E-02
  0.0000000E+00  1.4151493E-02  2.6448087E-02  4.0612292E-02  6.8286258E-02  9.5190745E-02  6.8504151E-01  3.3813139E-01  5.8292840E-01  4.5389667E-02  2.6137617E-02  1.4060550E-02  0.0000000E+00  1.4969041E-02
  0.0000000E+00  1.4396084E-02  2.6449897E-02  4.0305532E-02  6.7593862E-02  9.4032635E-02  6.6950100E-01  3.3506652E-01  5.7912717E-01  4.5085217E-02  2.6143029E-02  1.4304761E-02  0.0000000E+00  1.5285033E-02
  0.0000000E+00  1.4614791E-02  2.6436867E-02  3.9996773E-02  6.6915017E-02  9.2905617E-02  6.5463308E-01  3.3207542E-01  5.7537950E-01  4.4777812E-02  2.6133601E-02  1.4523247E-02  0.0000000E+00  1.5602159E-02
  2.5085184E-10  1.4810146E-02  2.6410750E-02  3.9686944E-02  6.6249561E-02  9.1808496E-02  6.4039659E-01  3.2915530E-01  5.7168550E-01  4.4468422E-02  2.6111064E-02  1.4718514E-02  2.5051991E-10  1.5920428E-02
  3.8669448E-04  1.4979086E-02  2.6364249E-02  3.9367477E-02  6.5571302E-02  9.0718604E-02  6.2548376E-01  3.2625591E-01  5.6797836E-01  4.4148737E-02  2.6068220E-02  1.4887537E-02  3.8618280E-04  1.6239063E-02
  8.1723071E-04  1.5135658E-02  2.6319335E-02  3.9063137E-02  6.4939987E-02  8.9688760E-02  6.1122904E-01  3.2349247E-01  5.6441718E-01  4.3843307E-02  2.6026847E-02  1.5044298E-02  8.1541573E-04  1.6557548E-02
  1.2191707E-03  1.5274367E-02  2.6264267E-02  3.8757795E-02  6.4318553E-02  8.8681499E-02  5.9757132E-01  3.2078359E-01  5.6089800E-01  4.3536195E-02  2.5975277E-02  1.5183268E-02  1.2161675E-03  1.6877428E-02
  1.5947562E-03  1.5396819E-02  2.6200202E-02  3.8452104E-02  6.3707012E-02  8.7696248E-02  5.8447544E-01  3.1812778E-01  5.5742104E-01  4.3228080E-02  2.5914646E-02  1.5306031E-02  1.5906813E-03  1.7198713E-02
  1.9460008E-03  1.5504433E-02  2.6128118E-02  3.8146596E-02  6.3105362E-02  8.6732406E-02  5.7190882E-01  3.1552358E-01  5.5398635E-01  4.2919590E-02  2.5845961E-02  1.5414024E-02  1.9409568E-03  1.7521417E-02
  2.2747099E-03  1.5598378E-02  2.6048827E-02  3.7841650E-02  6.2513448E-02  8.5789296E-02  5.5983663E-01  3.1296945E-01  5.5059376E-01  4.2611113E-02  2.5770000E-02  1.5508384E-02  2.2687765E-03  1.7845555E-02
  2.5826124E-03  1.5680054E-02  2.5963337E-02  3.7537911E-02  6.1931432E-02  8.4866581E-02  5.4823973E-01  3.1046426E-01  5.4724334E-01  4.2303326E-02  2.5687781E-02  1.5590509E-02  2.5758754E-03  1.8171140E-02
  2.8711961E-03  1.5750393E-02  2.5872277E-02  3.7235617E-02  6.1359108E-02  8.3963576E-02  5.3708790E-01  3.0800650E-01  5.4393474E-01  4.1996545E-02  2.5599941E-02  1.5661336E-02  2.8637346E-03  1.8498187E-02
  3.1418535E-03  1.5810353E-02  2.5776295E-02  3.6935073E-02  6.0796370E-02  8.3079726E-02  5.2635694E-01  3.0559487E-01  5.4066762E-01  4.1691082E-02  2.5507125E-02  1.5721814E-02  3.1337315E-03  1.8826708E-02
  3.3958422E-03  1.5860798E-02  2.5675955E-02  3.6636553E-02  6.0243090E-02  8.2214494E-02  5.1602433E-01  3.0322808E-01  5.3744160E-01  4.1387241E-02  2.5409889E-02  1.5772794E-02  3.3871136E-03  1.9156720E-02
  3.6343199E-03  1.5902510E-02  2.5571794E-02  3.6340269E-02  5.9699131E-02  8.1367351E-02  5.0606907E-01  3.0090489E-01  5.3425627E-01  4.1085281E-02  2.5308781E-02  1.5815070E-02  3.6250459E-03  1.9488238E-02
  3.8582739E-03  1.5936085E-02  2.5464143E-02  3.6046291E-02  5.9164228E-02  8.0537654E-02  4.9646676E-01  2.9862396E-01  5.3111100E-01  4.0785299E-02  2.5204124E-02  1.5849229E-02  3.8484988E-03  1.9821276E-02
  4.0688263E-03  1.5962417E-02  2.5353677E-02  3.5755019E-02  5.8638468E-02  7.9725142E-02  4.8720829E-01  2.9638435E-01  5.2800555E-01  4.0487695E-02  2.5096589E-02  1.5876144E-02  4.0585991E-03  2.0155849E-02
  4.2667973E-03  1.5981970E-02  2.5240651E-02  3.5466456E-02  5.8121565E-02  7.8929202E-02  4.7827216E-01  2.9418481E-01  5.2493925E-01  4.0192530E-02  2.4986446E-02  1.5896296E-02  4.2561554E-03  2.0491973E-02
  4.4530102E-03  1.5995304E-02  2.5125403E-02  3.5180739E-02  5.7613370E-02  7.8149373E-02  4.6964236E-01  2.9202424E-01  5.2191155E-01  3.9899944E-02  2.4874028E-02  1.5910244E-02  4.4419980E-03  2.0829664E-02
  4.6282329E-03  1.6002906E-02  2.5008258E-02  3.4897945E-02  5.7113697E-02  7.7385173E-02  4.6130388E-01  2.8990158E-01  5.1892187E-01  3.9610039E-02  2.4759652E-02  1.5918464E-02  4.6168813E-03  2.1168938E-02
  4.7931646E-03  1.6005235E-02  2.4889492E-02  3.4618155E-02  5.6622411E-02  7.6636187E-02  4.5324267E-01  2.8781579E-01  5.1596963E-01  3.9322900E-02  2.4643599E-02  1.5921417E-02  4.7815053E-03  2.1509811E-02
  4.9484486E-03  1.6002705E-02  2.4769351E-02  3.4341423E-02  5.6139309E-02  7.5901952E-02  4.4544552E-01  2.8576588E-01  5.1305424E-01  3.9038616E-02  2.4526124E-02  1.5919516E-02  4.9365084E-03  2.1852299E-02
  5.0945947E-03  1.5995588E-02  2.4647941E-02  3.4067691E-02  5.5664133E-02  7.5181954E-02  4.3789518E-01  2.8375077E-01  5.1017497E-01  3.8757140E-02  2.4407329E-02  1.5913029E-02  5.0824007E-03  2.2196419E-02
  5.2323336E-03  1.5984457E-02  2.4525706E-02  3.3797196E-02  5.5196928E-02  7.4475998E-02  4.3058936E-01  2.8176974E-01  5.0733145E-01  3.8478728E-02  2.4287657E-02  1.5902528E-02  5.2199123E-03  2.2542190E-02
  5.3620952E-03  1.5969526E-02  2.4402717E-02  3.3529873E-02  5.4737419E-02  7.3783594E-02  4.2351260E-01  2.7982179E-01  5.0452296E-01  3.8203324E-02  2.4167184E-02  1.5888228E-02  5.3494620E-03  2.2889626E-02
  5.4843510E-03  1.5951085E-02  2.4279136E-02  3.3265723E-02  5.4285443E-02  7.3104352E-02  4.1665456E-01  2.7790605E-01  5.0174890E-01  3.7930943E-02  2.4046077E-02  1.5870430E-02  5.4715394E-03  2.3238747E-02
  5.5995610E-03  1.5929432E-02  2.4155130E-02  3.3004760E-02  5.3840838E-02  7.2437913E-02  4.1000550E-01  2.7602168E-01  4.9900866E-01  3.7661622E-02  2.3924488E-02  1.5849399E-02  5.5865778E-03  2.3589571E-02
  0.0000000E+00  1.3000000E-09  2.1984907E-08  3.2178289E-02  7.4297295E-02  1.2187748E-01  1.1488383E+00  4.3405664E-01  6.9346539E-01  3.7098899E-02  2.1714310E-08  2.5000000E-09  0.0000000E+00  7.3412742E-03
  0.0000000E+00  2.8000000E-09  7.9537425E-03  3.3253762E-02  7.3212573E-02  1.1820122E-01  1.0985772E+00  4.2518798E-01  6.8841789E-01  3.8227473E-02  7.8558561E-03  3.2000000E-09  0.0000000E+00  7.5981083E-03
  0.0000000E+00  4.1000000E-09  1.0263710E-02  3.4072273E-02  7.2301056E-02  1.1513941E-01  1.0603837E+00  4.1729530E-01  6.8284080E-01  3.9086908E-02  1.0101597E-02  2.5000000E-09  0.0000000E+00  7.8555038E-03
  0.0000000E+00  3.6000000E-09  1.2110612E-02  3.4619007E-02  7.1359682E-02  1.1228632E-01  1.0224709E+00  4.0984021E-01  6.7691132E-01  3.9671358E-02  1.1905485E-02  2.9000000E-09  0.0000000E+00  8.1136996E-03
  0.0000000E+00  3.1000000E-09  1.3603494E-02  3.4964921E-02  7.0405849E-02  1.0961838E-01  9.8572259E-01  4.0278499E-01  6.7078666E-01  4.0050403E-02  1.3369258E-02  2.4000000E-09  0.0000000E+00  8.3727009E-03
  0.0000000E+00  2.9000000E-09  1.4820560E-02  3.5159981E-02  6.9451195E-02  1.0711545E-01  9.5057528E-01  3.9609594E-01  6.6457409E-01  4.0273629E-02  1.4566589E-02  2.4000000E-09  0.0000000E+00  8.6325128E-03
  0.0000000E+00  2.1503512E-09  1.5819504E-02  3.5240504E-02  6.8503896E-02  1.0476058E-01  9.1721052E-01  3.8974286E-01  6.5834669E-01  4.0377531E-02  1.5552233E-02  2.1444401E-09  0.0000000E+00  8.8931409E-03
  0.0000000E+00  1.7730441E-03  1.6618187E-02  3.5184039E-02  6.7495640E-02  1.0242846E-01  8.8017942E-01  3.8350187E-01  6.5198450E-01  4.0342179E-02  1.6342868E-02  1.7681701E-03  0.0000000E+00  9.1545059E-03
  0.0000000E+00  3.0088114E-03  1.7300057E-02  3.5123435E-02  6.6608495E-02  1.0038135E-01  8.4751102E-01  3.7785756E-01  6.4597004E-01  4.0296742E-02  1.7020041E-02  2.9900132E-03  0.0000000E+00  9.4165218E-03
  0.0000000E+00  4.0814690E-03  1.7865896E-02  3.5003680E-02  6.5726135E-02  9.8419760E-02  8.1691242E-01  3.7242199E-01  6.3999530E-01  4.0188668E-02  1.7583243E-02  4.0515296E-03  0.0000000E+00  9.6794134E-03
  0.0000000E+00  5.0162428E-03  1.8334440E-02  3.4836730E-02  6.4852321E-02  9.6538854E-02  7.8822752E-01  3.6718478E-01  6.3408082E-01  4.0030289E-02  1.8050674E-02  4.9773262E-03  0.0000000E+00  9.9431877E-03
  0.0000000E+00  5.8339560E-03  1.8722131E-02  3.4633379E-02  6.3991017E-02  9.4735235E-02  7.6131037E-01  3.6213701E-01  6.2824270E-01  3.9832763E-02  1.8438417E-02  5.7878029E-03  0.0000000E+00  1.0207850E-02
  0.0000000E+00  6.5512603E-03  1.9040804E-02  3.4400679E-02  6.3143593E-02  9.3003874E-02  7.3601992E-01  3.5726819E-01  6.2249080E-01  3.9603461E-02  1.8758025E-02  6.4992342E-03  0.0000000E+00  1.0473409E-02
  0.0000000E+00  7.1824705E-03  1.9301584E-02  3.4145604E-02  6.2312273E-02  9.1341461E-02  7.1223308E-01  3.5256977E-01  6.1683322E-01  3.9349649E-02  1.9020390E-02  7.1256859E-03  0.0000000E+00  1.0739869E-02
  0.0000000E+00  7.7389248E-03  1.9512467E-02  3.3872625E-02  6.1497454E-02  8.9743537E-02  6.8982698E-01  3.4803224E-01  6.1127419E-01  3.9076051E-02  1.9233366E-02  7.6782930E-03  0.0000000E+00  1.1007239E-02
  0.0000000E+00  8.2307156E-03  1.9681125E-02  3.3586387E-02  6.0700287E-02  8.8207006E-02  6.6870007E-01  3.4364771E-01  6.0581717E-01  3.8787522E-02  1.9404499E-02  8.1669750E-03  0.0000000E+00  1.1275524E-02
  0.0000000E+00  8.6658127E-03  1.9813139E-02  3.3289766E-02  5.9920665E-02  8.6728016E-02  6.4874815E-01  3.3940779E-01  6.0046327E-01  3.8487130E-02  1.9539257E-02  8.5995485E-03  0.0000000E+00  1.1544730E-02
  0.0000000E+00  9.0514655E-03  1.9913925E-02  3.2985861E-02  5.9159088E-02  8.5303748E-02  6.2988784E-01  3.3530538E-01  5.9521330E-01  3.8178166E-02  1.9643000E-02  8.9831888E-03  0.0000000E+00  1.1814867E-02
  0.0000000E+00  9.3935387E-03  1.9987613E-02  3.2676721E-02  5.8415355E-02  8.3931043E-02  6.1203503E-01  3.3133327E-01  5.9006673E-01  3.7862809E-02  1.9719785E-02  9.3236694E-03  0.0000000E+00  1.2085940E-02
  0.0000000E+00  9.6969990E-03  2.0037648E-02  3.2363974E-02  5.7689107E-02  8.2606923E-02  5.9511143E-01  3.2748470E-01  5.8502240E-01  3.7542845E-02  1.9773024E-02  9.6258841E-03  0.0000000E+00  1.2357957E-02
  0.0000000E+00  9.9665346E-03  2.0067458E-02  3.2049489E-02  5.6980424E-02  8.1329096E-02  5.7905656E-01  3.2375383E-01  5.8007923E-01  3.7220222E-02  1.9806101E-02  9.8944544E-03  0.0000000E+00  1.2630924E-02
  0.0000000E+00  1.0205822E-02  2.0079578E-02  3.1734296E-02  5.6288840E-02  8.0094994E-02  5.6380557E-01  3.2013470E-01  5.7523530E-01  3.6896110E-02  1.9821509E-02  1.0133028E-02  0.0000000E+00  1.2904850E-02
  0.0000000E+00  1.0418066E-02  2.0076140E-02  3.1419282E-02  5.5613834E-02  7.8902186E-02  5.4929827E-01  3.1662179E-01  5.7048849E-01  3.6571458E-02  1.9821385E-02  1.0344758E-02  0.0000000E+00  1.3179741E-02
  0.0000000E+00  1.0606402E-02  2.0059411E-02  3.1105535E-02  5.4955269E-02  7.7748817E-02  5.3549031E-01  3.1321024E-01  5.6583688E-01  3.6247458E-02  1.9807958E-02  1.0532741E-02  0.0000000E+00  1.3455604E-02
  0.0000000E+00  1.0773219E-02  2.0030958E-02  3.0793596E-02  5.4312598E-02  7.6632762E-02  5.2233148E-01  3.0989519E-01  5.6127810E-01  3.5924709E-02  1.9782790E-02  1.0699368E-02  0.0000000E+00  1.3732449E-02
  0.0000000E+00  1.0920758E-02  1.9992290E-02  3.0484027E-02  5.3685378E-02  7.5552180E-02  5.0977868E-01  3.0667217E-01  5.5680980E-01  3.5603849E-02  1.9747379E-02  1.0846831E-02  0.0000000E+00  1.4010281E-02
  1.8874690E-10  1.1050842E-02  1.9944575E-02  3.0177148E-02  5.3073044E-02  7.4505199E-02  4.9778836E-01  3.0353686E-01  5.5242947E-01  3.5285246E-02  1.9702888E-02  1.0976953E-02  1.8847984E-10  1.4289108E-02
  2.9095812E-04  1.1161377E-02  1.9882300E-02  2.9865902E-02  5.2453571E-02  7.3471230E-02  4.8532209E-01  3.0043570E-01  5.4806036E-01  3.4961844E-02  1.9643880E-02  1.1087647E-02  2.9054646E-04  1.4568234E-02
  6.0628228E-04  1.1263001E-02  1.9822468E-02  2.9570368E-02  5.1876804E-02  7.2496749E-02  4.7347548E-01  2.9748795E-01  5.4387946E-01  3.4653985E-02  1.9587207E-02  1.1189515E-02  6.0481864E-04  1.4847192E-02
  8.9992659E-04  1.1351503E-02  1.9755819E-02  2.9276924E-02  5.1311291E-02  7.1547817E-02  4.6215023E-01  2.9460779E-01  5.3976732E-01  3.4347888E-02  1.9523661E-02  1.1278317E-02  8.9751258E-04  1.5127364E-02
  1.1736167E-03  1.1428086E-02  1.9683183E-02  2.8985898E-02  5.0756856E-02  7.0623485E-02  4.5131422E-01  2.9179283E-01  5.3572267E-01  3.4043907E-02  1.9454064E-02  1.1355251E-02  1.1703462E-03  1.5408761E-02
  1.4288802E-03  1.1493722E-02  1.9605167E-02  2.8697446E-02  5.0213200E-02  6.9722746E-02  4.4093358E-01  2.8904070E-01  5.3174407E-01  3.3742259E-02  1.9379051E-02  1.1421273E-02  1.4248353E-03  1.5691396E-02
  1.6671964E-03  1.1549609E-02  1.9522679E-02  2.8412038E-02  4.9680326E-02  6.8844952E-02  4.3098903E-01  2.8634945E-01  5.2783038E-01  3.3443424E-02  1.9299498E-02  1.1477577E-02  1.6624505E-03  1.5975279E-02
  1.8898401E-03  1.1596531E-02  1.9436189E-02  2.8129758E-02  4.9157932E-02  6.7989190E-02  4.2145148E-01  2.8371690E-01  5.2398015E-01  3.3147505E-02  1.9215884E-02  1.1524942E-02  1.8844564E-03  1.6260423E-02
  2.0979734E-03  1.1635280E-02  1.9346218E-02  2.7850766E-02  4.8645790E-02  6.7154656E-02  4.1229749E-01  2.8114107E-01  5.2019202E-01  3.2854701E-02  1.9128738E-02  1.1564162E-02  2.0920165E-03  1.6546842E-02
  2.2926577E-03  1.1666566E-02  1.9253225E-02  2.7575057E-02  4.8143463E-02  6.6340224E-02  4.0350538E-01  2.7861874E-01  5.1646257E-01  3.2565016E-02  1.9038513E-02  1.1595941E-02  2.2861799E-03  1.6834546E-02
  2.4748749E-03  1.1691059E-02  1.9157642E-02  2.7303045E-02  4.7651386E-02  6.5546273E-02  3.9505494E-01  2.7615199E-01  5.1279663E-01  3.2278936E-02  1.8945638E-02  1.1620938E-02  2.4679205E-03  1.7123549E-02
  2.6454375E-03  1.1709207E-02  1.9059708E-02  2.7034394E-02  4.7168540E-02  6.4770879E-02  3.8692300E-01  2.7373507E-01  5.0918656E-01  3.1996075E-02  1.8850358E-02  1.1639619E-02  2.6380543E-03  1.7413863E-02
  2.8052886E-03  1.1721791E-02  1.8959992E-02  2.6769480E-02  4.6695147E-02  6.4013987E-02  3.7910065E-01  2.7136781E-01  5.0563332E-01  3.1716852E-02  1.8753237E-02  1.1652728E-02  2.7975183E-03  1.7705503E-02
  2.9551144E-03  1.1729176E-02  1.8858664E-02  2.6508216E-02  4.6230886E-02  6.3274832E-02  3.7156758E-01  2.6904851E-01  5.0213550E-01  3.1441213E-02  1.8654461E-02  1.1660652E-02  2.9469906E-03  1.7998480E-02
  3.0955956E-03  1.1731805E-02  1.8756013E-02  2.6250633E-02  4.5775516E-02  6.2552815E-02  3.6430864E-01  2.6677564E-01  4.9869184E-01  3.1169176E-02  1.8554302E-02  1.1663830E-02  3.0871567E-03  1.8292808E-02
  3.2273657E-03  1.1730092E-02  1.8652257E-02  2.5996738E-02  4.5328831E-02  6.1847349E-02  3.5730969E-01  2.6454772E-01  4.9530106E-01  3.0900782E-02  1.8452987E-02  1.1662669E-02  3.2186365E-03  1.8588502E-02
  3.3509963E-03  1.1724395E-02  1.8547630E-02  2.5746540E-02  4.4890602E-02  6.1157868E-02  3.5055752E-01  2.6236333E-01  4.9196194E-01  3.0636035E-02  1.8350748E-02  1.1657524E-02  3.3420049E-03  1.8885574E-02
  3.4670228E-03  1.1715048E-02  1.8442306E-02  2.5500012E-02  4.4460614E-02  6.0483835E-02  3.4403978E-01  2.6022114E-01  4.8867327E-01  3.0374931E-02  1.8247762E-02  1.1648737E-02  3.4577996E-03  1.9184040E-02
  3.5758502E-03  1.1702254E-02  1.8336355E-02  2.5257026E-02  4.4038552E-02  5.9824634E-02  3.3774031E-01  2.5811971E-01  4.8543376E-01  3.0117347E-02  1.8144099E-02  1.1636500E-02  3.5664107E-03  1.9483913E-02
  3.6780978E-03  1.1686507E-02  1.8230138E-02  2.5017787E-02  4.3624429E-02  5.9179987E-02  3.3165709E-01  2.5605805E-01  4.8224249E-01  2.9863505E-02  1.8040127E-02  1.1621311E-02  3.6684676E-03  1.9785208E-02
  3.7741037E-03  1.1667958E-02  1.8123695E-02  2.4782148E-02  4.3217936E-02  5.8549309E-02  3.2577570E-01  2.5403484E-01  4.7909823E-01  2.9613257E-02  1.7935888E-02  1.1603325E-02  3.7643035E-03  2.0087941E-02
  3.8642623E-03  1.1646845E-02  1.8017150E-02  2.4550075E-02  4.2818874E-02  5.7932156E-02  3.2008659E-01  2.5204893E-01  4.7599987E-01  2.9366577E-02  1.7831496E-02  1.1582763E-02  3.8543088E-03  2.0392125E-02
  3.9489257E-03  1.1623380E-02  1.7910613E-02  2.4321530E-02  4.2427062E-02  5.7328095E-02  3.1458078E-01  2.5009923E-01  4.7294636E-01  2.9123436E-02  1.7727062E-02  1.1559855E-02  3.9388323E-03  2.0697776E-02
  4.0284356E-03  1.1597772E-02  1.7804184E-02  2.4096466E-02  4.2042306E-02  5.6736707E-02  3.0924984E-01  2.4818467E-01  4.6993666E-01  2.8883794E-02  1.7622702E-02  1.1534797E-02  4.0182199E-03  2.1004910E-02
  0.0000000E+00  2.2000000E-09  1.8309130E-08  2.7972720E-02  6.4729298E-02  1.0924377E-01  9.8865254E-01  4.2773567E-01  7.1351098E-01  3.3650100E-02  1.8078652E-08  1.7000000E-09  0.0000000E+00  6.7695348E-03
  0.0000000E+00  2.5000000E-09  6.6238343E-03  2.8419791E-02  6.3350023E-02  1.0487836E-01  9.3826298E-01  4.1647538E-01  7.0386511E-01  3.4097065E-02  6.5404648E-03  2.7000000E-09  0.0000000E+00  6.9944263E-03
  0.0000000E+00  3.0000000E-09  8.4202571E-03  2.8755047E-02  6.2216860E-02  1.0131573E-01  8.9918863E-01  4.0661408E-01  6.9450092E-01  3.4431035E-02  8.2828030E-03  3.1000000E-09  0.0000000E+00  7.2194565E-03
  0.0000000E+00  4.2000000E-09  9.8443007E-03  2.8912738E-02  6.1108255E-02  9.8085606E-02  8.6162087E-01  3.9749468E-01  6.8525895E-01  3.4587629E-02  9.6710180E-03  3.6000000E-09  0.0000000E+00  7.4451814E-03
  0.0000000E+00  3.2000000E-09  1.0984758E-02  2.8942255E-02  6.0029093E-02  9.5133759E-02  8.2603430E-01  3.8901626E-01  6.7620842E-01  3.4614567E-02  1.0787566E-02  3.7000000E-09  0.0000000E+00  7.6716065E-03
  0.0000000E+00  4.3000000E-09  1.1905201E-02  2.8878122E-02  5.8981859E-02  9.2418251E-02  7.9258933E-01  3.8109839E-01  6.6738970E-01  3.4545682E-02  1.1692056E-02  3.5000000E-09  0.0000000E+00  7.8987358E-03
  0.0000000E+00  1.7451250E-09  1.2652474E-02  2.8745123E-02  5.7967932E-02  8.9906286E-02  7.6128106E-01  3.7367556E-01  6.5882410E-01  3.4405691E-02  1.2428826E-02  1.7402033E-09  0.0000000E+00  8.1265737E-03
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  0.0000000E+00  3.2198551E-03  1.4144621E-02  2.8068763E-02  5.5104635E-02  8.3327259E-02  6.7016754E-01  3.5385786E-01  6.3469878E-01  3.3698410E-02  1.3909931E-02  3.1949917E-03  0.0000000E+00  8.8138693E-03
  0.0000000E+00  3.9352669E-03  1.4475534E-02  2.7801773E-02  5.4226639E-02  8.1418875E-02  6.4451566E-01  3.4797085E-01  6.2719138E-01  3.3417346E-02  1.4240446E-02  3.9030435E-03  0.0000000E+00  9.0444271E-03
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  0.0000000E+00  5.1008179E-03  1.4959055E-02  2.7217014E-02  5.2538813E-02  7.7884025E-02  5.9819924E-01  3.3694520E-01  6.1276418E-01  3.2800410E-02  1.4725780E-02  5.0579176E-03  0.0000000E+00  9.5078645E-03
  0.0000000E+00  5.5759933E-03  1.5129951E-02  2.6908421E-02  5.1729451E-02  7.6243217E-02  5.7725004E-01  3.3177252E-01  6.0583859E-01  3.2474100E-02  1.4898450E-02  5.5292611E-03  0.0000000E+00  9.7407560E-03
  0.0000000E+00  5.9924359E-03  1.5262865E-02  2.6593327E-02  5.0942692E-02  7.4678211E-02  5.5760296E-01  3.2680616E-01  5.9909885E-01  3.2140429E-02  1.5033513E-02  5.9426202E-03  0.0000000E+00  9.9744365E-03
  0.0000000E+00  6.3582702E-03  1.5363906E-02  2.6274698E-02  5.0178625E-02  7.3183978E-02  5.3915261E-01  3.2203313E-01  5.9254002E-01  3.1802477E-02  1.5137000E-02  6.3059834E-03  0.0000000E+00  1.0208912E-02
  0.0000000E+00  6.6799777E-03  1.5437574E-02  2.5954364E-02  4.9436562E-02  7.1755365E-02  5.2179804E-01  3.1744093E-01  5.8615620E-01  3.1462233E-02  1.5213306E-02  6.6257269E-03  0.0000000E+00  1.0444189E-02
  0.0000000E+00  6.9629875E-03  1.5487624E-02  2.5633730E-02  4.8715742E-02  7.0387683E-02  5.0544609E-01  3.1301817E-01  5.7994127E-01  3.1121173E-02  1.5266159E-02  6.9071878E-03  0.0000000E+00  1.0680274E-02
  0.0000000E+00  7.2123751E-03  1.5517780E-02  2.5314436E-02  4.8015915E-02  6.9077245E-02  4.9002307E-01  3.0875492E-01  5.7388961E-01  3.0781052E-02  1.5299211E-02  7.1553582E-03  0.0000000E+00  1.0917171E-02
  0.0000000E+00  7.4319385E-03  1.5530550E-02  2.4997182E-02  4.7336104E-02  6.7820028E-02  4.7545019E-01  3.0464142E-01  5.6799494E-01  3.0442631E-02  1.5314919E-02  7.3739867E-03  0.0000000E+00  1.1154889E-02
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  0.0000000E+00  8.1918087E-03  1.5409221E-02  2.3466332E-02  4.4216247E-02  6.2225810E-02  4.1330412E-01  2.8604175E-01  5.4067928E-01  2.8803113E-02  1.5208440E-02  8.1320616E-03  0.0000000E+00  1.2355987E-02
  0.0000000E+00  8.2923362E-03  1.5358632E-02  2.3173854E-02  4.3643386E-02  6.1226884E-02  4.0267230E-01  2.8266731E-01  5.3561015E-01  2.8488653E-02  1.5160744E-02  8.2326050E-03  0.0000000E+00  1.2598755E-02
  1.4423549E-10  8.3798232E-03  1.5301952E-02  2.2886426E-02  4.3086070E-02  6.0262737E-02  3.9254451E-01  2.7939432E-01  5.3066082E-01  2.8179229E-02  1.5106904E-02  8.3201945E-03  1.4402053E-10  1.2842387E-02
  2.2234266E-04  8.4522658E-03  1.5234376E-02  2.2597661E-02  4.2524987E-02  5.9314392E-02  3.8206823E-01  2.7616613E-01  5.2574476E-01  2.7868274E-02  1.5042216E-02  8.3928435E-03  2.2201129E-04  1.3086256E-02
  4.5722574E-04  8.5183973E-03  1.5169798E-02  2.2324423E-02  4.2002792E-02  5.8422838E-02  3.7216641E-01  2.7310513E-01  5.2105536E-01  2.7573281E-02  1.4980411E-02  8.4592439E-03  4.5604761E-04  1.3329940E-02
  6.7541544E-04  8.5747336E-03  1.5100629E-02  2.2055011E-02  4.1492362E-02  5.7557601E-02  3.6271877E-01  2.7012211E-01  5.1645916E-01  2.7282119E-02  1.4913954E-02  8.5158923E-03  6.7347545E-04  1.3574678E-02
  8.7828374E-04  8.6222119E-03  1.5027487E-02  2.1789576E-02  4.0993380E-02  5.6717548E-02  3.5369636E-01  2.6721396E-01  5.1195346E-01  2.6994955E-02  1.4843473E-02  8.5637115E-03  8.7566065E-04  1.3820482E-02
  1.0670561E-03  8.6616696E-03  1.4950923E-02  2.1528218E-02  4.0505561E-02  5.5901614E-02  3.4507257E-01  2.6437773E-01  5.0753562E-01  2.6711903E-02  1.4769518E-02  8.6035488E-03  1.0638146E-03  1.4067360E-02
  1.2428059E-03  8.6937617E-03  1.4871316E-02  2.1270884E-02  4.0028488E-02  5.5108666E-02  3.3681890E-01  2.6161049E-01  5.0320294E-01  2.6432929E-02  1.4692462E-02  8.6360373E-03  1.2390050E-03  1.4315324E-02
  1.4066110E-03  8.7193595E-03  1.4789312E-02  2.1017850E-02  3.9562082E-02  5.4337967E-02  3.2892020E-01  2.5890981E-01  4.9895314E-01  2.6158319E-02  1.4612947E-02  8.6620564E-03  1.4023014E-03  1.4564383E-02
  1.5593590E-03  8.7389854E-03  1.4705175E-02  2.0769010E-02  3.9105936E-02  5.3588487E-02  3.2135203E-01  2.5627307E-01  4.9478371E-01  2.5887995E-02  1.4531259E-02  8.6821136E-03  1.5545935E-03  1.4814548E-02
  1.7018727E-03  8.7531826E-03  1.4619269E-02  2.0524377E-02  3.8659771E-02  5.2859383E-02  3.1409506E-01  2.5369786E-01  4.9069231E-01  2.5621964E-02  1.4447737E-02  8.6967590E-03  1.6966931E-03  1.5065831E-02
  1.8349088E-03  8.7624388E-03  1.4531877E-02  2.0283960E-02  3.8223293E-02  5.2149824E-02  3.0713137E-01  2.5118192E-01  4.8667665E-01  2.5360245E-02  1.4362683E-02  8.7064831E-03  1.8293594E-03  1.5318241E-02
  1.9591721E-03  8.7672175E-03  1.4443270E-02  2.0047713E-02  3.7796232E-02  5.1459049E-02  3.0044437E-01  2.4872309E-01  4.8273456E-01  2.5102812E-02  1.4276361E-02  8.7117308E-03  1.9532848E-03  1.5571792E-02
  2.0752071E-03  8.7678129E-03  1.4353582E-02  1.9815514E-02  3.7378197E-02  5.0786195E-02  2.9401460E-01  2.4631918E-01  4.7886380E-01  2.4849540E-02  1.4188904E-02  8.7128062E-03  2.0690204E-03  1.5826492E-02
  2.1837312E-03  8.7647912E-03  1.4263227E-02  1.9587515E-02  3.6969140E-02  5.0130783E-02  2.8783545E-01  2.4396846E-01  4.7506254E-01  2.4600588E-02  1.4100729E-02  8.7102664E-03  2.1772683E-03  1.6082355E-02
  2.2852091E-03  8.7583972E-03  1.4172289E-02  1.9363569E-02  3.6568699E-02  4.9492039E-02  2.8188989E-01  2.4166896E-01  4.7132870E-01  2.4355823E-02  1.4011927E-02  8.7043584E-03  2.2784978E-03  1.6339392E-02
  2.3801236E-03  8.7489222E-03  1.4080937E-02  1.9143628E-02  3.6176624E-02  4.8869339E-02  2.7616550E-01  2.3941890E-01  4.6766037E-01  2.4115194E-02  1.3922664E-02  8.6953734E-03  2.3731925E-03  1.6597614E-02
  2.4689233E-03  8.7366504E-03  1.3989328E-02  1.8927632E-02  3.5792665E-02  4.8262080E-02  2.7065068E-01  2.3721658E-01  4.6405571E-01  2.3878637E-02  1.3833087E-02  8.6835868E-03  2.4617892E-03  1.6857034E-02
  2.5520216E-03  8.7218376E-03  1.3897589E-02  1.8715520E-02  3.5416595E-02  4.7669696E-02  2.6533461E-01  2.3506040E-01  4.6051293E-01  2.3646114E-02  1.3743341E-02  8.6692609E-03  2.5447089E-03  1.7117664E-02
  2.6297926E-03  8.7046948E-03  1.3805824E-02  1.8507219E-02  3.5048179E-02  4.7091636E-02  2.6020719E-01  2.3294881E-01  4.5703033E-01  2.3417542E-02  1.3653530E-02  8.6526074E-03  2.6223125E-03  1.7379516E-02
  2.7025050E-03  8.6853526E-03  1.3714052E-02  1.8302573E-02  3.4687100E-02  4.6527287E-02  2.5525487E-01  2.3088025E-01  4.5360615E-01  2.3192770E-02  1.3563669E-02  8.6337559E-03  2.6948867E-03  1.7642604E-02
  2.7706312E-03  8.6641803E-03  1.3622556E-02  1.8101689E-02  3.4333334E-02  4.5976346E-02  2.5047667E-01  2.2885347E-01  4.5023897E-01  2.2971912E-02  1.3474039E-02  8.6130681E-03  2.7628847E-03  1.7906939E-02
  2.8343996E-03  8.6412662E-03  1.3531324E-02  1.7904419E-02  3.3986577E-02  4.5438248E-02  2.4586049E-01  2.2686707E-01  4.4692716E-01  2.2754813E-02  1.3384630E-02  8.5906362E-03  2.8265366E-03  1.8172534E-02
  2.8940866E-03  8.6167612E-03  1.3440427E-02  1.7710687E-02  3.3646633E-02  4.4912551E-02  2.4139855E-01  2.2491975E-01  4.4366924E-01  2.2541405E-02  1.3295518E-02  8.5666142E-03  2.8861212E-03  1.8439404E-02
  2.9499390E-03  8.5908264E-03  1.3349931E-02  1.7520424E-02  3.3313299E-02  4.4398816E-02  2.3708353E-01  2.2301029E-01  4.4046376E-01  2.2331611E-02  1.3206763E-02  8.5411531E-03  2.9418830E-03  1.8707562E-02
  0.0000000E+00  3.8000000E-09  1.5344497E-08  2.4014836E-02  5.6731833E-02  9.6583274E-02  8.5475386E-01  4.1878011E-01  7.2727616E-01  3.0277390E-02  1.5148861E-08  3.8000000E-09  0.0000000E+00  6.2364173E-03
  0.0000000E+00  4.7000000E-09  5.5511620E-03  2.4045010E-02  5.5199037E-02  9.1892025E-02  8.0365619E-01  4.0535044E-01  7.1322149E-01  3.0262968E-02  5.4804009E-03  4.4000000E-09  0.0000000E+00  6.4336053E-03
  0.0000000E+00  4.6000000E-09  6.9651485E-03  2.4041171E-02  5.3927824E-02  8.8114207E-02  7.6563611E-01  3.9385853E-01  7.0029000E-01  3.0217873E-02  6.8489008E-03  5.0000000E-09  0.0000000E+00  6.6313117E-03
  0.0000000E+00  4.2000000E-09  8.0763541E-03  2.3932382E-02  5.2722423E-02  8.4746266E-02  7.2979698E-01  3.8337274E-01  6.8795231E-01  3.0071686E-02  7.9303220E-03  4.6000000E-09  0.0000000E+00  6.8296256E-03
  0.0000000E+00  4.7000000E-09  8.9578624E-03  2.3750900E-02  5.1577522E-02  8.1713438E-02  6.9634018E-01  3.7373701E-01  6.7618833E-01  2.9854580E-02  8.7922092E-03  4.5000000E-09  0.0000000E+00  7.0285503E-03
  0.0000000E+00  3.1000000E-09  9.6619429E-03  2.3518906E-02  5.0488397E-02  7.8959384E-02  6.6525492E-01  3.6482995E-01  6.6497068E-01  2.9587710E-02  9.4834360E-03  5.1000000E-09  0.0000000E+00  7.2280901E-03
  0.0000000E+00  1.4289801E-09  1.0227045E-02  2.3252122E-02  4.9451079E-02  7.6440903E-02  6.3642725E-01  3.5655499E-01  6.5426837E-01  2.9286363E-02  1.0040259E-02  1.4248824E-09  0.0000000E+00  7.4282488E-03
  0.0000000E+00  1.1782468E-03  1.0664053E-02  2.2922132E-02  4.8403971E-02  7.4026740E-02  6.0561272E-01  3.4860074E-01  6.4377577E-01  2.8922195E-02  1.0472677E-02  1.1748681E-03  0.0000000E+00  7.6289593E-03
  0.0000000E+00  1.9259263E-03  1.1030166E-02  2.2629798E-02  4.7485449E-02  7.1933872E-02  5.7904885E-01  3.4150987E-01  6.3418510E-01  2.8596328E-02  1.0836484E-02  1.9129367E-03  0.0000000E+00  7.8301480E-03
  0.0000000E+00  2.5683428E-03  1.1324463E-02  2.2321892E-02  4.6597024E-02  6.9970843E-02  5.5445697E-01  3.3479003E-01  6.2493513E-01  2.8254561E-02  1.1129848E-02  2.5477360E-03  0.0000000E+00  8.0320015E-03
  0.0000000E+00  3.1223439E-03  1.1559041E-02  2.2003438E-02  4.5738031E-02  6.8124528E-02  5.3164686E-01  3.2840910E-01  6.1601130E-01  2.7902030E-02  1.1364529E-02  3.0956821E-03  0.0000000E+00  8.2345242E-03
  0.0000000E+00  3.6018335E-03  1.1744740E-02  2.1679368E-02  4.4908662E-02  6.6384732E-02  5.1045029E-01  3.2233981E-01  6.0739968E-01  2.7543746E-02  1.1551068E-02  3.5703352E-03  0.0000000E+00  8.4377207E-03
  0.0000000E+00  4.0177995E-03  1.1889021E-02  2.1352178E-02  4.4107460E-02  6.4741192E-02  4.9071357E-01  3.1655659E-01  5.9908483E-01  2.7182313E-02  1.1696761E-02  3.9824430E-03  0.0000000E+00  8.6415969E-03
  0.0000000E+00  4.3797519E-03  1.1999132E-02  2.1024887E-02  4.3334080E-02  6.3186091E-02  4.7230569E-01  3.1103787E-01  5.9105283E-01  2.6820787E-02  1.1808679E-02  4.3413039E-03  0.0000000E+00  8.8461573E-03
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  0.0000000E+00  4.9702930E-03  1.2136584E-02  2.0375836E-02  4.1865627E-02  6.0311316E-02  4.3900024E-01  3.0071555E-01  5.7578069E-01  2.6103618E-02  1.1950562E-02  4.9274347E-03  0.0000000E+00  9.2573504E-03
  0.0000000E+00  5.2106519E-03  1.2172247E-02  2.0056607E-02  4.1168531E-02  5.8979317E-02  4.2389961E-01  2.9587821E-01  5.6851434E-01  2.5750609E-02  1.1988700E-02  5.1662578E-03  0.0000000E+00  9.4639936E-03
  0.0000000E+00  5.4208372E-03  1.2190465E-02  1.9742241E-02  4.0494999E-02  5.7710606E-02  4.0971950E-01  2.9123715E-01  5.6147822E-01  2.5402699E-02  1.2009483E-02  5.3752408E-03  0.0000000E+00  9.6713418E-03
  0.0000000E+00  5.6045965E-03  1.2193714E-02  1.9433182E-02  3.9843853E-02  5.6500370E-02  3.9638110E-01  2.8677914E-01  5.5466075E-01  2.5060365E-02  1.2015350E-02  5.5580737E-03  0.0000000E+00  9.8793998E-03
  0.0000000E+00  5.7650548E-03  1.2184032E-02  1.9129675E-02  3.9213944E-02  5.5344250E-02  3.8381221E-01  2.8249216E-01  5.4805096E-01  2.4723884E-02  1.2008340E-02  5.7178455E-03  0.0000000E+00  1.0088173E-02
  0.0000000E+00  5.9052551E-03  1.2163610E-02  1.8832312E-02  3.8604598E-02  5.4238740E-02  3.7195687E-01  2.7836565E-01  5.4163899E-01  2.4393870E-02  1.1990597E-02  5.8575462E-03  0.0000000E+00  1.0297668E-02
  0.0000000E+00  6.0274953E-03  1.2133909E-02  1.8541153E-02  3.8014756E-02  5.3180268E-02  3.6075674E-01  2.7438963E-01  5.3541516E-01  2.4070380E-02  1.1963564E-02  5.9794500E-03  0.0000000E+00  1.0507889E-02
  0.0000000E+00  6.1337532E-03  1.2096166E-02  1.8256173E-02  3.7443426E-02  5.2165611E-02  3.5015828E-01  2.7055492E-01  5.2937035E-01  2.3753428E-02  1.1928463E-02  6.0854984E-03  0.0000000E+00  1.0718841E-02
  0.0000000E+00  6.2260391E-03  1.2051776E-02  1.7977644E-02  3.6889994E-02  5.1192147E-02  3.4012188E-01  2.6685348E-01  5.2349640E-01  2.3443284E-02  1.1886685E-02  6.1776842E-03  0.0000000E+00  1.0930532E-02
  0.0000000E+00  6.3058183E-03  1.2001626E-02  1.7705452E-02  3.6353551E-02  5.0257175E-02  3.3060372E-01  2.6327759E-01  5.1778527E-01  2.3139850E-02  1.1839121E-02  6.2574642E-03  0.0000000E+00  1.1142965E-02
  0.0000000E+00  6.3744803E-03  1.1946585E-02  1.7439573E-02  3.5833348E-02  4.9358354E-02  3.2156636E-01  2.5982025E-01  5.1222953E-01  2.2843103E-02  1.1786615E-02  6.3261987E-03  0.0000000E+00  1.1356147E-02
  1.1152631E-10  6.4331225E-03  1.1887291E-02  1.7179828E-02  3.5328557E-02  4.8493391E-02  3.1297246E-01  2.5647489E-01  5.0682211E-01  2.2552849E-02  1.1729811E-02  6.3849769E-03  1.1135169E-10  1.1570084E-02
  1.7192062E-04  6.4804036E-03  1.1820120E-02  1.6921093E-02  3.4822687E-02  4.7645748E-02  3.0413382E-01  2.5318336E-01  5.0146869E-01  2.2263628E-02  1.1665150E-02  6.4324866E-03  1.7165145E-04  1.1784210E-02
  3.4909358E-04  6.5230350E-03  1.1755994E-02  1.6676866E-02  3.4352015E-02  4.6850473E-02  2.9581391E-01  2.5006887E-01  4.9637557E-01  2.1989879E-02  1.1603424E-02  6.4753887E-03  3.4814541E-04  1.1998142E-02
  5.1328361E-04  6.5582802E-03  1.1688799E-02  1.6437407E-02  3.3893113E-02  4.6080851E-02  2.8788979E-01  2.4704041E-01  4.9139762E-01  2.1721192E-02  1.1538582E-02  6.5109308E-03  5.1172206E-04  1.2212994E-02
  6.6557698E-04  6.5868850E-03  1.1619011E-02  1.6202700E-02  3.3445622E-02  4.5335672E-02  2.8033549E-01  2.4409423E-01  4.8653077E-01  2.1457564E-02  1.1471100E-02  6.5398645E-03  6.6347203E-04  1.2428777E-02
  8.0691893E-04  6.6093936E-03  1.1546948E-02  1.5972622E-02  3.3009063E-02  4.4613688E-02  2.7312365E-01  2.4122672E-01  4.8177102E-01  2.1198851E-02  1.1401284E-02  6.5627214E-03  8.0431011E-04  1.2645499E-02
  9.3824378E-04  6.6265884E-03  1.1473159E-02  1.5747336E-02  3.2583277E-02  4.3914016E-02  2.6623905E-01  2.3843473E-01  4.7711485E-01  2.0945236E-02  1.1329689E-02  6.5802863E-03  9.3519032E-04  1.2863168E-02
  1.0603164E-03  6.6389024E-03  1.1397875E-02  1.5526688E-02  3.2167820E-02  4.3235542E-02  2.5965835E-01  2.3571504E-01  4.7255859E-01  2.0696570E-02  1.1256546E-02  6.5929787E-03  1.0568659E-03  1.3081794E-02
  1.1738593E-03  6.6468004E-03  1.1321367E-02  1.5310615E-02  3.1762345E-02  4.2577331E-02  2.5336299E-01  2.3306469E-01  4.6809884E-01  2.0452775E-02  1.1182136E-02  6.6012739E-03  1.1700477E-03  1.3301386E-02
  1.2795417E-03  6.6507160E-03  1.1243895E-02  1.5099047E-02  3.1366539E-02  4.1938481E-02  2.4733578E-01  2.3048088E-01  4.6373235E-01  2.0213797E-02  1.1106706E-02  6.6055956E-03  1.2754012E-03  1.3521954E-02
  1.3779448E-03  6.6510263E-03  1.1165667E-02  1.4891868E-02  3.0979985E-02  4.1317995E-02  2.4156088E-01  2.2796028E-01  4.5945478E-01  1.9979495E-02  1.1030473E-02  6.6063162E-03  1.3735091E-03  1.3743507E-02
  1.4695538E-03  6.6479849E-03  1.1086795E-02  1.4689021E-02  3.0602561E-02  4.0715451E-02  2.3601988E-01  2.2550237E-01  4.5526668E-01  1.9749844E-02  1.0953548E-02  6.6036876E-03  1.4648562E-03  1.3966055E-02
  1.5549781E-03  6.6420752E-03  1.1007615E-02  1.4490478E-02  3.0233877E-02  4.0129804E-02  2.3070625E-01  2.2310289E-01  4.5116175E-01  1.9524786E-02  1.0876275E-02  6.5982054E-03  1.5500453E-03  1.4189607E-02
  1.6346147E-03  6.6334980E-03  1.0928204E-02  1.4296106E-02  2.9873646E-02  3.9560421E-02  2.2560399E-01  2.2076018E-01  4.4713837E-01  1.9304205E-02  1.0798714E-02  6.5900458E-03  1.6294633E-03  1.4414175E-02
  1.7088758E-03  6.6225044E-03  1.0848679E-02  1.4105806E-02  2.9521601E-02  3.9006624E-02  2.2070136E-01  2.1847212E-01  4.4319393E-01  1.9087989E-02  1.0721006E-02  6.5794821E-03  1.7035356E-03  1.4639767E-02
  1.7781490E-03  6.6093317E-03  1.0769172E-02  1.3919510E-02  2.9177481E-02  3.8467792E-02  2.1598746E-01  2.1623671E-01  4.3932593E-01  1.8876054E-02  1.0643263E-02  6.5667277E-03  1.7726331E-03  1.4866395E-02
  1.8427690E-03  6.5941730E-03  1.0689769E-02  1.3737085E-02  2.8841020E-02  3.7943306E-02  2.1145213E-01  2.1405200E-01  4.3553193E-01  1.8668301E-02  1.0565591E-02  6.5519965E-03  1.8370971E-03  1.5094068E-02
  1.9030612E-03  6.5772287E-03  1.0610574E-02  1.3558476E-02  2.8511973E-02  3.7432606E-02  2.0708589E-01  2.1191617E-01  4.3180967E-01  1.8464638E-02  1.0488083E-02  6.5354790E-03  1.8972532E-03  1.5322797E-02
  1.9592479E-03  6.5585791E-03  1.0531564E-02  1.3383474E-02  2.8190025E-02  3.6935062E-02  2.0287613E-01  2.0982740E-01  4.2815682E-01  1.8264872E-02  1.0410724E-02  6.5172568E-03  1.9533168E-03  1.5552594E-02
  2.0117318E-03  6.5385575E-03  1.0453000E-02  1.3212176E-02  2.7875111E-02  3.6450342E-02  1.9882189E-01  2.0778423E-01  4.2457145E-01  1.8069090E-02  1.0333765E-02  6.4976509E-03  2.0056923E-03  1.5783468E-02
  2.0607075E-03  6.5172212E-03  1.0374841E-02  1.3044421E-02  2.7566938E-02  3.5977863E-02  1.9491194E-01  2.0578496E-01  4.2105143E-01  1.7877117E-02  1.0257178E-02  6.4767313E-03  2.0545681E-03  1.6015433E-02
  2.1063940E-03  6.4946996E-03  1.0297148E-02  1.2880088E-02  2.7265289E-02  3.5517171E-02  1.9113906E-01  2.0382812E-01  4.1759480E-01  1.7688851E-02  1.0181027E-02  6.4546221E-03  2.1001699E-03  1.6248497E-02
  2.1490111E-03  6.4711118E-03  1.0219968E-02  1.2719120E-02  2.6969962E-02  3.5067835E-02  1.8749649E-01  2.0191229E-01  4.1419972E-01  1.7504204E-02  1.0105343E-02  6.4314457E-03  2.1427103E-03  1.6482674E-02
  2.1887509E-03  6.4465658E-03  1.0143339E-02  1.2561411E-02  2.6680760E-02  3.4629421E-02  1.8397788E-01  2.0003607E-01  4.1086436E-01  1.7323089E-02  1.0030183E-02  6.4073044E-03  2.1823812E-03  1.6717974E-02
  0.0000000E+00  1.8000000E-09  1.2953035E-08  2.0265647E-02  4.9997017E-02  8.4207742E-02  7.4109389E-01  4.0755269E-01  7.3514442E-01  2.6963230E-02  1.2787353E-08  4.7000000E-09  0.0000000E+00  5.7356728E-03
  0.0000000E+00  3.4000000E-09  4.6860540E-03  1.9996681E-02  4.8342731E-02  7.9492186E-02  6.9126146E-01  3.9235396E-01  7.1693663E-01  2.6610139E-02  4.6261351E-03  5.0000000E-09  0.0000000E+00  5.9073283E-03
  0.0000000E+00  3.3000000E-09  5.8092844E-03  1.9771767E-02  4.7008315E-02  7.5699736E-02  6.5528411E-01  3.7947813E-01  7.0065499E-01  2.6307440E-02  5.7111905E-03  4.0000000E-09  0.0000000E+00  6.0810560E-03
  0.0000000E+00  2.5000000E-09  6.6839445E-03  1.9495102E-02  4.5764380E-02  7.2362853E-02  6.2173941E-01  3.6785244E-01  6.8544095E-01  2.5960763E-02  6.5611500E-03  5.0000000E-09  0.0000000E+00  6.2553141E-03
  0.0000000E+00  8.0000000E-10  7.3708866E-03  1.9185995E-02  4.4599754E-02  6.9392468E-02  5.9070792E-01  3.5726750E-01  6.7118093E-01  2.5586731E-02  7.2320002E-03  5.1000000E-09  0.0000000E+00  6.4301054E-03
  0.0000000E+00  1.3000000E-09  7.9134435E-03  1.8857302E-02  4.3505483E-02  6.6722558E-02  5.6209868E-01  3.4756283E-01  6.5777731E-01  2.5196748E-02  7.7641946E-03  4.9000000E-09  0.0000000E+00  6.6054336E-03
  0.0000000E+00  1.1794297E-09  8.3434883E-03  1.8518030E-02  4.2474384E-02  6.4303263E-02  5.3574604E-01  3.3861261E-01  6.4514540E-01  2.4798932E-02  8.1877193E-03  1.1760189E-09  0.0000000E+00  6.7813021E-03
  0.0000000E+00  9.7248326E-04  8.6696922E-03  1.8138951E-02  4.1448548E-02  6.2007105E-02  5.0791908E-01  3.3006932E-01  6.3289008E-01  2.4363074E-02  8.5105041E-03  9.6967094E-04  0.0000000E+00  6.9576498E-03
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  0.0000000E+00  2.5000185E-03  9.3184674E-03  1.7139206E-02  3.8860828E-02  5.6459383E-02  4.4189263E-01  3.0861296E-01  6.0102283E-01  2.3207020E-02  9.1576938E-03  2.4779780E-03  0.0000000E+00  7.4896703E-03
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  0.0000000E+00  3.1939757E-03  9.5401675E-03  1.6480825E-02  3.7305503E-02  5.3328688E-02  4.0569557E-01  2.9617240E-01  5.8193784E-01  2.2449690E-02  9.3818498E-03  3.1648565E-03  0.0000000E+00  7.8472871E-03
  0.0000000E+00  3.4719824E-03  9.6082077E-03  1.6159496E-02  3.6574057E-02  5.1901197E-02  3.8949994E-01  2.9041653E-01  5.7296126E-01  2.2080361E-02  9.4516504E-03  3.4403889E-03  0.0000000E+00  8.0269896E-03
  0.0000000E+00  3.7126613E-03  9.6536239E-03  1.5844398E-02  3.5871067E-02  5.0554158E-02  3.7441135E-01  2.8493646E-01  5.6433005E-01  2.1718195E-02  9.4990629E-03  3.6790963E-03  0.0000000E+00  8.2072939E-03
  0.0000000E+00  3.9214417E-03  9.6804382E-03  1.5536472E-02  3.5195386E-02  4.9280847E-02  3.6033142E-01  2.7971090E-01  5.5602315E-01  2.1364140E-02  9.5280105E-03  3.8863269E-03  0.0000000E+00  8.3882041E-03
  0.0000000E+00  4.1024695E-03  9.6913012E-03  1.5235789E-02  3.4545260E-02  4.8074709E-02  3.4716503E-01  2.7472021E-01  5.4802052E-01  2.1018238E-02  9.5411446E-03  4.0661536E-03  0.0000000E+00  8.5697255E-03
  0.0000000E+00  4.2596187E-03  9.6890068E-03  1.4942839E-02  3.3919606E-02  4.6930481E-02  3.3483532E-01  2.6994741E-01  5.4030427E-01  2.0680947E-02  9.5411721E-03  4.2223748E-03  0.0000000E+00  8.7518618E-03
  0.0000000E+00  4.3959257E-03  9.6755165E-03  1.4657588E-02  3.3317007E-02  4.5843142E-02  3.2326830E-01  2.6537681E-01  5.3285755E-01  2.0352207E-02  9.5300303E-03  4.3579783E-03  0.0000000E+00  8.9346183E-03
  0.0000000E+00  4.5139005E-03  9.6524354E-03  1.4379920E-02  3.2736125E-02  4.4808177E-02  3.1239662E-01  2.6099432E-01  5.2566478E-01  2.0031913E-02  9.5093305E-03  4.4754516E-03  0.0000000E+00  9.1179996E-03
  0.0000000E+00  4.6160143E-03  9.6214888E-03  1.4110038E-02  3.2176048E-02  4.3821904E-02  3.0216739E-01  2.5678748E-01  5.1871192E-01  1.9720203E-02  9.4807426E-03  4.5772106E-03  0.0000000E+00  9.3020098E-03
  0.0000000E+00  4.7041039E-03  9.5838115E-03  1.3847698E-02  3.1635594E-02  4.2880681E-02  2.9252654E-01  2.5274471E-01  5.1198570E-01  1.9416851E-02  9.4454225E-03  4.6650756E-03  0.0000000E+00  9.4866541E-03
  0.0000000E+00  4.7798670E-03  9.5404898E-03  1.3592780E-02  3.1113767E-02  4.1981337E-02  2.8342744E-01  2.4885558E-01  5.0547391E-01  1.9121695E-02  9.4044202E-03  4.7407089E-03  0.0000000E+00  9.6719372E-03
  0.0000000E+00  4.8446158E-03  9.4922759E-03  1.3345002E-02  3.0609500E-02  4.1120881E-02  2.7482477E-01  2.4511043E-01  4.9916510E-01  1.8834430E-02  9.3584959E-03  4.8054348E-03  0.0000000E+00  9.8578648E-03
  0.0000000E+00  4.8998134E-03  9.4401828E-03  1.3104382E-02  3.0122120E-02  4.0296922E-02  2.6668647E-01  2.4150078E-01  4.9304899E-01  1.8555064E-02  9.3086360E-03  4.8606739E-03  0.0000000E+00  1.0044440E-02
  0.0000000E+00  4.9464619E-03  9.3847492E-03  1.2870641E-02  2.9650704E-02  3.9506988E-02  2.5897549E-01  2.3801855E-01  4.8711572E-01  1.8283289E-02  9.2554059E-03  4.9074205E-03  0.0000000E+00  1.0231670E-02
  8.7004031E-11  4.9855115E-03  9.3265570E-03  1.2643564E-02  2.9194462E-02  3.8748913E-02  2.5166064E-01  2.3465641E-01  4.8135619E-01  1.8018879E-02  9.1993658E-03  4.9466250E-03  8.6863482E-11  1.0419558E-02
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  2.6901330E-04  5.0424501E-03  9.2012619E-03  1.2206988E-02  2.8314988E-02  3.7314322E-02  2.3714270E-01  2.2823731E-01  4.7027125E-01  1.7509426E-02  9.0783124E-03  5.0040453E-03  2.6824989E-04  1.0795434E-02
  3.9372587E-04  5.0636657E-03  9.1381889E-03  1.2000412E-02  2.7902830E-02  3.6644628E-02  2.3046462E-01  2.2521165E-01  4.6500789E-01  1.7267671E-02  9.0172592E-03  5.0255476E-03  3.9247229E-04  1.0984077E-02
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  7.1501431E-04  5.0991291E-03  8.9403018E-03  1.1410169E-02  2.6731403E-02  3.4767655E-02  2.1227767E-01  2.1664530E-01  4.4997267E-01  1.6574998E-02  8.8251413E-03  5.0619675E-03  7.1256626E-04  1.1554911E-02
  8.0684949E-04  5.1031342E-03  8.8724065E-03  1.1222937E-02  2.6361351E-02  3.4182532E-02  2.0676761E-01  2.1394758E-01  4.4519660E-01  1.6354641E-02  8.7590859E-03  5.0663148E-03  8.0408529E-04  1.1746850E-02
  8.9206265E-04  5.1038717E-03  8.8039129E-03  1.1040267E-02  2.6000876E-02  3.3616042E-02  2.0150451E-01  2.1132301E-01  4.4053098E-01  1.6139332E-02  8.6923654E-03  5.0674000E-03  8.8900691E-04  1.1939632E-02
  9.7117315E-04  5.1016681E-03  8.7349892E-03  1.0862036E-02  2.5649638E-02  3.3067325E-02  1.9647313E-01  2.0876848E-01  4.3597171E-01  1.5928951E-02  8.6251790E-03  5.0655561E-03  9.6785952E-04  1.2133267E-02
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  1.1129174E-03  5.0895971E-03  8.5964868E-03  1.0518428E-02  2.4973524E-02  3.2019931E-02  1.8705032E-01  2.0385792E-01  4.2715679E-01  1.5522433E-02  8.4900188E-03  5.0542069E-03  1.1091632E-03  1.2523125E-02
  1.1763218E-03  5.0801440E-03  8.5270695E-03  1.0352721E-02  2.4647952E-02  3.1519676E-02  1.8263044E-01  2.0149642E-01  4.2289383E-01  1.5325965E-02  8.4222147E-03  5.0451218E-03  1.1723806E-03  1.2719366E-02
  1.2353154E-03  5.0688496E-03  8.4578386E-03  1.0191088E-02  2.4330428E-02  3.1034265E-02  1.7839519E-01  1.9919423E-01  4.1872280E-01  1.5134000E-02  8.3545589E-03  5.0341973E-03  1.2312133E-03  1.2916493E-02
  1.2901829E-03  5.0558207E-03  8.3887958E-03  1.0033307E-02  2.4020607E-02  3.0562967E-02  1.7433109E-01  1.9694893E-01  4.1464043E-01  1.4946319E-02  8.2870422E-03  5.0215324E-03  1.2859247E-03  1.3114515E-02
  1.3412086E-03  5.0412405E-03  8.3200233E-03  9.8792699E-03  2.3718210E-02  3.0105178E-02  1.7042855E-01  1.9475833E-01  4.1064366E-01  1.4762826E-02  8.2197653E-03  5.0073238E-03  1.3368201E-03  1.3313440E-02
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  1.4328355E-03  5.0080330E-03  8.1835565E-03  9.5820286E-03  2.3134687E-02  2.9227872E-02  1.6307309E-01  1.9053287E-01  4.0289544E-01  1.4407880E-02  8.0861729E-03  4.9748456E-03  1.4282231E-03  1.3714040E-02
  1.4739175E-03  4.9896866E-03  8.1159727E-03  9.4386065E-03  2.2853074E-02  2.8807303E-02  1.5960415E-01  1.8849415E-01  3.9913855E-01  1.4236210E-02  8.0199759E-03  4.9568544E-03  1.4692053E-03  1.3915733E-02
  1.5120590E-03  4.9702518E-03  8.0488142E-03  9.2984222E-03  2.2577840E-02  2.8398051E-02  1.5626113E-01  1.8650228E-01  3.9545632E-01  1.4068172E-02  7.9541610E-03  4.9377802E-03  1.5072605E-03  1.4118367E-02
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  1.5806156E-03  4.9289510E-03  7.9162764E-03  9.0278173E-03  2.2046043E-02  2.7612098E-02  1.4994323E-01  1.8265273E-01  3.8830665E-01  1.3742989E-02  7.8242326E-03  4.8971873E-03  1.5756793E-03  1.4526496E-02
  1.6113160E-03  4.9071907E-03  7.8508963E-03  8.8971202E-03  2.1789001E-02  2.7234478E-02  1.4695295E-01  1.8079183E-01  3.8483460E-01  1.3585555E-02  7.7601005E-03  4.8757744E-03  1.6063224E-03  1.4732013E-02
  1.6398382E-03  4.8848028E-03  7.7861306E-03  8.7693725E-03  2.1537604E-02  2.6866565E-02  1.4406764E-01  1.7897153E-01  3.8142822E-01  1.3431436E-02  7.6965703E-03  4.8537309E-03  1.6347978E-03  1.4938510E-02
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  0.0000000E+00  3.0000000E-10  3.9823194E-03  1.6261666E-02  4.2587147E-02  6.7812425E-02  5.9742117E-01  3.7761773E-01  7.1536407E-01  2.3146559E-02  3.9316872E-03  5.2000000E-09  0.0000000E+00  5.4220186E-03
  0.0000000E+00  3.0000000E-10  4.8808576E-03  1.5901693E-02  4.1209650E-02  6.4182657E-02  5.6365182E-01  3.6362799E-01  6.9601256E-01  2.2678440E-02  4.7982628E-03  4.9000000E-09  0.0000000E+00  5.5750342E-03
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  0.0000000E+00  0.0000000E+00  6.5318388E-03  1.4777945E-02  3.7689218E-02  5.5734971E-02  4.7763871E-01  3.2946615E-01  6.4632584E-01  2.1284910E-02  6.4072682E-03  4.8000000E-09  0.0000000E+00  6.0368774E-03
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  6.8321107E-11  3.8909037E-03  7.3739046E-03  9.0052169E-03  2.4246357E-02  3.0724282E-02  2.0366505E-01  2.1390909E-01  4.5473471E-01  1.4328386E-02  7.2711864E-03  3.8595035E-03  6.8209590E-11  9.3952083E-03
  1.0531871E-04  3.9094607E-03  7.3142067E-03  8.8158623E-03  2.3836541E-02  3.0089242E-02  1.9729375E-01  2.1064322E-01  4.4881018E-01  1.4096582E-02  7.2133518E-03  3.8782720E-03  1.0514680E-04  9.5607260E-03
  2.0872897E-04  3.9255692E-03  7.2574315E-03  8.6381090E-03  2.3455831E-02  2.9495612E-02  1.9134219E-01  2.0756466E-01  4.4319880E-01  1.3878158E-02  7.1583459E-03  3.8946221E-03  2.0811572E-04  9.7260451E-03
  3.0410829E-04  3.9374108E-03  7.1994396E-03  8.4653496E-03  2.3086280E-02  2.8923738E-02  1.8569315E-01  2.0458221E-01  4.3773849E-01  1.3665475E-02  7.1020769E-03  3.9067246E-03  3.0309943E-04  9.8920687E-03
  3.9216208E-04  3.9454641E-03  7.1404991E-03  8.2974443E-03  2.2727456E-02  2.8372461E-02  1.8032575E-01  2.0169118E-01  4.3242277E-01  1.3458370E-02  7.0448202E-03  3.9150428E-03  3.9079744E-04  1.0058803E-02
  4.7348754E-04  3.9500293E-03  7.0807568E-03  8.1341625E-03  2.2378807E-02  2.7840599E-02  1.7521792E-01  1.9888712E-01  4.2724547E-01  1.3256583E-02  6.9867124E-03  3.9199028E-03  4.7180489E-04  1.0226256E-02
  5.4868807E-04  3.9516388E-03  7.0205702E-03  7.9755106E-03  2.2040105E-02  2.7327305E-02  1.7035779E-01  1.9616609E-01  4.2220097E-01  1.3060122E-02  6.9281198E-03  3.9218002E-03  5.4672263E-04  1.0394433E-02
  6.1825498E-04  3.9505312E-03  6.9600483E-03  7.8212833E-03  2.1710874E-02  2.6831564E-02  1.6572667E-01  1.9352420E-01  4.1728377E-01  1.2868749E-02  6.8691442E-03  3.9209944E-03  6.1603436E-04  1.0563343E-02
  6.8264177E-04  3.9469902E-03  6.8993237E-03  7.6713291E-03  2.1390723E-02  2.6352492E-02  1.6130983E-01  1.9095784E-01  4.1248873E-01  1.2682294E-02  6.8099411E-03  3.9177663E-03  6.8019803E-04  1.0732990E-02
  7.4227310E-04  3.9412907E-03  6.8385499E-03  7.5255132E-03  2.1079318E-02  2.5889273E-02  1.5709371E-01  1.8846365E-01  4.0781100E-01  1.2500603E-02  6.7506259E-03  3.9123739E-03  7.3962118E-04  1.0903384E-02
  7.9751786E-04  3.9336447E-03  6.7778275E-03  7.3836754E-03  2.0776250E-02  2.5441051E-02  1.5306584E-01  1.8603802E-01  4.0324513E-01  1.2323494E-02  6.6913343E-03  3.9050440E-03  7.9468101E-04  1.1074531E-02
  8.4866814E-04  3.9241835E-03  6.7171766E-03  7.2456650E-03  2.0481284E-02  2.5007277E-02  1.4921158E-01  1.8367924E-01  3.9878924E-01  1.2150812E-02  6.6320755E-03  3.8958995E-03  8.4566830E-04  1.1246438E-02
  8.9612249E-04  3.9132467E-03  6.6568327E-03  7.1114382E-03  2.0194098E-02  2.4587177E-02  1.4552622E-01  1.8138330E-01  3.9443680E-01  1.1982503E-02  6.5730872E-03  3.8852742E-03  8.9297675E-04  1.1419114E-02
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  9.8093751E-04  3.8873686E-03  6.5371362E-03  6.8537155E-03  1.9641831E-02  2.3785538E-02  1.3861507E-01  1.7697067E-01  3.8602917E-01  1.1658265E-02  6.4560008E-03  3.8600284E-03  9.7754178E-04  1.1766799E-02
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  5.2495989E-04  3.0678415E-03  5.4382073E-03  5.0055576E-03  1.7650881E-02  2.0488972E-02  1.2974724E-01  1.7190449E-01  3.8431011E-01  9.8975027E-03  5.3665795E-03  3.0444204E-03  5.2300190E-04  9.6536641E-03
  5.7012206E-04  3.0603015E-03  5.3849516E-03  4.8905093E-03  1.7375176E-02  2.0104255E-02  1.2620484E-01  1.6949631E-01  3.7958146E-01  9.7437004E-03  5.3145577E-03  3.0371501E-03  5.6799898E-04  9.8034552E-03
  6.1185376E-04  3.0513397E-03  5.3319592E-03  4.7789887E-03  1.7107328E-02  1.9732649E-02  1.2282558E-01  1.6715790E-01  3.7497372E-01  9.5941593E-03  5.2627694E-03  3.0284625E-03  6.0958644E-04  9.9539051E-03
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  8.7075246E-04  2.9282353E-03  4.8750213E-03  3.9132745E-03  1.5001971E-02  1.6883343E-02  9.8289135E-02  1.4879175E-01  3.3821539E-01  8.4153979E-03  4.8152773E-03  2.9077413E-03  8.6772511E-04  1.1338684E-02
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  9.2352059E-04  2.8774218E-03  4.7330117E-03  3.6716179E-03  1.4403309E-02  1.6095642E-02  9.1935552E-02  1.4356425E-01  3.2756043E-01  8.0796828E-03  4.6759455E-03  2.8576752E-03  9.2038267E-04  1.1813116E-02
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  4.2664845E-11  2.4023671E-03  4.6833469E-03  3.7221922E-03  1.6844602E-02  1.8803967E-02  1.3512175E-01  1.7560492E-01  3.9958795E-01  8.8372671E-03  4.6164594E-03  2.3819221E-03  4.2592377E-11  7.6686996E-03
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  0.0000000E+00  1.7127786E-03  4.1081434E-03  2.8861345E-03  1.7238040E-02  1.8675614E-02  1.5702716E-01  1.9092686E-01  4.3826748E-01  8.3567504E-03  4.0428347E-03  1.6963334E-03  0.0000000E+00  5.9665917E-03
  0.0000000E+00  1.7543023E-03  4.0744522E-03  2.7614490E-03  1.6813493E-02  1.8100300E-02  1.5032266E-01  1.8653836E-01  4.2955178E-01  8.1549321E-03  4.0105283E-03  1.7376361E-03  0.0000000E+00  6.0760468E-03
  0.0000000E+00  1.7885628E-03  4.0381367E-03  2.6469108E-03  1.6409008E-02  1.7558378E-02  1.4408620E-01  1.8236881E-01  4.2122394E-01  7.9621621E-03  3.9755688E-03  1.7717529E-03  0.0000000E+00  6.1858670E-03
  0.0000000E+00  1.8166909E-03  3.9999295E-03  2.5406737E-03  1.6023318E-02  1.7047140E-02  1.3827749E-01  1.7840127E-01  4.1325638E-01  7.7780512E-03  3.9386942E-03  1.7998123E-03  0.0000000E+00  6.2960549E-03
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  0.0000000E+00  1.8898003E-03  3.7929369E-03  2.0881907E-03  1.4334206E-02  1.4869276E-02  1.1440119E-01  1.6110790E-01  3.7802317E-01  6.9684419E-03  3.7379020E-03  1.8731901E-03  0.0000000E+00  6.8526089E-03
  3.3828539E-11  1.8947013E-03  3.7502768E-03  2.0105766E-03  1.4037393E-02  1.4496505E-02  1.1046541E-01  1.5807916E-01  3.7176538E-01  6.8257586E-03  3.6963762E-03  1.8782261E-03  3.3769164E-11  6.9650625E-03
  5.2147545E-05  1.8963003E-03  3.7058712E-03  1.9354697E-03  1.3744009E-02  1.4135510E-02  1.0649961E-01  1.5512465E-01  3.6563412E-01  6.6866562E-03  3.6530997E-03  1.8799843E-03  5.2056016E-05  7.0775589E-03
  9.9783558E-05  1.8970972E-03  3.6639244E-03  1.8662426E-03  1.3472541E-02  1.3799540E-02  1.0283438E-01  1.5235318E-01  3.5985852E-01  6.5562381E-03  3.6122250E-03  1.8809532E-03  9.9463255E-05  7.1898597E-03
  1.4341747E-04  1.8960224E-03  3.6219785E-03  1.7996918E-03  1.3210567E-02  1.3477578E-02  9.9374062E-02  1.4968048E-01  3.5426725E-01  6.4302663E-03  3.5713236E-03  1.8800546E-03  1.4289248E-04  7.3026320E-03
  1.8341446E-04  1.8933011E-03  3.5801392E-03  1.7356908E-03  1.2957597E-02  1.3168781E-02  9.6103379E-02  1.4710122E-01  3.4885115E-01  6.3085333E-03  3.5304910E-03  1.8775249E-03  1.8270920E-04  7.4158793E-03
  2.2010752E-04  1.8891424E-03  3.5384971E-03  1.6745110E-03  1.2713202E-02  1.2872390E-02  9.3008465E-02  1.4461042E-01  3.4360164E-01  6.1908504E-03  3.4898314E-03  1.8735509E-03  2.1923767E-04  7.5296068E-03
  2.5376396E-04  1.8836479E-03  3.4970668E-03  1.6162805E-03  1.2476897E-02  1.2587622E-02  9.0074225E-02  1.4220339E-01  3.3851070E-01  6.0769695E-03  3.4493441E-03  1.8682468E-03  2.5274842E-04  7.6438191E-03
  2.8469024E-04  1.8771018E-03  3.4560352E-03  1.5616728E-03  1.2248423E-02  1.2313937E-02  8.7293792E-02  1.3987599E-01  3.3357095E-01  5.9668456E-03  3.4092287E-03  1.8619003E-03  2.8354798E-04  7.7585204E-03
  3.1310256E-04  1.8695856E-03  3.4153867E-03  1.5099251E-03  1.2027355E-02  1.2050664E-02  8.4654442E-02  1.3762415E-01  3.2877534E-01  5.8602576E-03  3.3694744E-03  1.8545765E-03  3.1184619E-04  7.8737153E-03
  3.3921907E-04  1.8612163E-03  3.3751722E-03  1.4604583E-03  1.1813343E-02  1.1797243E-02  8.2146557E-02  1.3544414E-01  3.2411731E-01  5.7570491E-03  3.3301271E-03  1.8463997E-03  3.3785926E-04  7.9894089E-03
  3.6322449E-04  1.8520970E-03  3.3354268E-03  1.4127577E-03  1.1606060E-02  1.1553133E-02  7.9761324E-02  1.3333248E-01  3.1959071E-01  5.6570693E-03  3.2912181E-03  1.8374817E-03  3.6177858E-04  8.1056056E-03
  3.8530582E-04  1.8423390E-03  3.2961753E-03  1.3667652E-03  1.1405221E-02  1.1317866E-02  7.7490653E-02  1.3128591E-01  3.1518973E-01  5.5601889E-03  3.2527835E-03  1.8279180E-03  3.8377637E-04  8.2223110E-03
  4.0556755E-04  1.8319487E-03  3.2573766E-03  1.3223437E-03  1.1210453E-02  1.1090894E-02  7.5324601E-02  1.2930132E-01  3.1090889E-01  5.4661956E-03  3.2147765E-03  1.8177210E-03  4.0396595E-04  8.3395293E-03
  4.2423384E-04  1.8211357E-03  3.2191806E-03  1.2795207E-03  1.1021621E-02  1.0871932E-02  7.3261148E-02  1.2737599E-01  3.0674318E-01  5.3751894E-03  3.1773445E-03  1.8071003E-03  4.2257015E-04  8.4572658E-03
  4.4139493E-04  1.8098994E-03  3.1815292E-03  1.2381756E-03  1.0838406E-02  1.0660512E-02  7.1291693E-02  1.2550716E-01  3.0268772E-01  5.2871902E-03  3.1404369E-03  1.7960560E-03  4.3967736E-04  8.5755261E-03
  4.5717347E-04  1.7983073E-03  3.1444369E-03  1.1982533E-03  1.0660571E-02  1.0456272E-02  6.9410429E-02  1.2369231E-01  2.9873792E-01  5.2017890E-03  3.1040697E-03  1.7846533E-03  4.5540638E-04  8.6943148E-03
  4.7167552E-04  1.7864096E-03  3.1079188E-03  1.1596944E-03  1.0487887E-02  1.0258851E-02  6.7611994E-02  1.2192910E-01  2.9488952E-01  5.1188642E-03  3.0682525E-03  1.7729417E-03  4.6986503E-04  8.8136373E-03
  4.8499670E-04  1.7742547E-03  3.0719643E-03  1.1224332E-03  1.0320128E-02  1.0067934E-02  6.5891428E-02  1.2021526E-01  2.9113843E-01  5.0383283E-03  3.0329825E-03  1.7609727E-03  4.8314927E-04  8.9334989E-03
  4.9722880E-04  1.7618816E-03  3.0365847E-03  1.0864513E-03  1.0157106E-02  9.8832060E-03  6.4244140E-02  1.1854872E-01  2.8748082E-01  4.9600727E-03  2.9982683E-03  1.7487804E-03  4.9534923E-04  9.0539051E-03
  5.0840188E-04  1.7492716E-03  3.0017184E-03  1.0527701E-03  9.9985535E-03  9.7043185E-03  6.2663324E-02  1.1692742E-01  2.8391297E-01  4.8839517E-03  2.9640453E-03  1.7363506E-03  5.0649371E-04  9.1748614E-03
  5.1868715E-04  1.7365825E-03  2.9674789E-03  1.0210686E-03  9.8444244E-03  9.5311293E-03  6.1149946E-02  1.1534962E-01  2.8043156E-01  4.8099998E-03  2.9304325E-03  1.7238353E-03  5.1675527E-04  9.2963738E-03
  5.2810620E-04  1.7237769E-03  2.9338089E-03  9.9082463E-04  9.6944639E-03  9.3633147E-03  5.9697968E-02  1.1381349E-01  2.7703326E-01  4.7380702E-03  2.8973706E-03  1.7112015E-03  5.2615280E-04  9.4184473E-03
  5.3672316E-04  1.7108853E-03  2.9007038E-03  9.6154064E-04  9.5485226E-03  9.2006415E-03  5.8303979E-02  1.1231736E-01  2.7371496E-01  4.6680939E-03  2.8648571E-03  1.6984816E-03  5.3475255E-04  9.5410880E-03
  5.4459553E-04  1.6979335E-03  2.8681556E-03  9.3344610E-04  9.4064426E-03  9.0428819E-03  5.6964802E-02  1.1085966E-01  2.7047373E-01  4.5999849E-03  2.8328858E-03  1.6856977E-03  5.4261187E-04  9.6643021E-03
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  0.0000000E+00  1.4935903E-03  3.0453916E-03  1.0380009E-03  1.1935560E-02  1.1358606E-02  9.3761759E-02  1.4453861E-01  3.5037832E-01  5.3287437E-03  3.0010534E-03  1.4802122E-03  0.0000000E+00  6.2625276E-03
  2.6837261E-11  1.4954076E-03  3.0071553E-03  9.9223184E-04  1.1671684E-02  1.1058816E-02  9.0387896E-02  1.4166150E-01  3.4418572E-01  5.2144486E-03  2.9637759E-03  1.4821512E-03  2.6790857E-11  6.3612628E-03
  4.1370314E-05  1.4947704E-03  2.9678082E-03  9.4853814E-04  1.1411537E-02  1.0769200E-02  8.7005413E-02  1.3885900E-01  3.3812793E-01  5.1034917E-03  2.9253800E-03  1.4816503E-03  4.1298780E-05  6.4600217E-03
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  1.1198852E-04  1.4909150E-03  2.8936898E-03  8.7131762E-04  1.0939586E-02  1.0242195E-02  8.0949070E-02  1.3370589E-01  3.2692346E-01  4.8992066E-03  2.8530337E-03  1.4781024E-03  1.1156406E-04  6.6575571E-03
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  3.8092347E-04  1.3652576E-03  2.3908908E-03  4.7830531E-04  8.2720884E-03  7.3920771E-03  5.1447577E-02  1.0451888E-01  2.6177636E-01  3.7657605E-03  2.3604810E-03  1.3548600E-03  3.7943082E-04  8.1942665E-03
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  4.0367214E-04  1.3326021E-03  2.3045171E-03  4.2610438E-04  7.8731956E-03  6.9843870E-03  4.7682180E-02  1.0012342E-01  2.5169385E-01  3.5970778E-03  2.2756578E-03  1.3226459E-03  4.0212557E-04  8.5140782E-03
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  1.3289880E-04  1.1624785E-03  2.2491518E-03  3.2300777E-04  8.6385295E-03  7.3193734E-03  6.1386896E-02  1.1440360E-01  2.9002321E-01  3.6065407E-03  2.2179592E-03  1.1524867E-03  1.3234246E-04  6.2793397E-03
  1.5269721E-04  1.1565336E-03  2.2179612E-03  3.0598659E-04  8.4569042E-03  7.1408817E-03  5.9295625E-02  1.1228483E-01  2.8517235E-01  3.5396291E-03  2.1874235E-03  1.1466806E-03  1.5204710E-04  6.3670483E-03
  1.7081127E-04  1.1500552E-03  2.1872834E-03  2.8998588E-04  8.2818750E-03  6.9697976E-03  5.7320758E-02  1.1024108E-01  2.8047782E-01  3.4750570E-03  2.1573844E-03  1.1403424E-03  1.7007976E-04  6.4551283E-03
  1.8736855E-04  1.1430654E-03  2.1570884E-03  2.7488292E-04  8.1130548E-03  6.8056363E-03  5.5452048E-02  1.0826834E-01  2.7593189E-01  3.4126494E-03  2.1278027E-03  1.1334910E-03  1.8656477E-04  6.5435838E-03
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  2.2899280E-04  1.1196948E-03  2.0694612E-03  2.3315401E-04  7.6407839E-03  6.3508491E-03  5.0408126E-02  1.0274045E-01  2.6311585E-01  3.2374579E-03  2.0419127E-03  1.1105391E-03  2.2802257E-04  6.8112366E-03
  2.4057254E-04  1.1113222E-03  2.0412986E-03  2.2035379E-04  7.4938651E-03  6.2107102E-03  4.8894180E-02  1.0101728E-01  2.5909674E-01  3.1827851E-03  2.0142867E-03  1.1023050E-03  2.3955932E-04  6.9012290E-03
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  7.0548876E-05  5.5017006E-04  1.1126367E-03  1.2023713E-05  4.4818342E-03  2.8501306E-03  3.1452150E-02  7.6043015E-02  2.1268695E-01  1.7970047E-03  1.0972488E-03  5.4520654E-04  7.0223153E-05  5.0701893E-03
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  9.2461278E-05  5.3515610E-04  1.0571113E-03  8.9569414E-06  4.1648879E-03  2.6384432E-03  2.8165570E-02  7.1466780E-02  2.0087553E-01  1.7125269E-03  1.0427552E-03  5.3043783E-04  9.2029941E-05  5.2455269E-03
  9.8457042E-05  5.2990576E-04  1.0394734E-03  8.3315463E-06  4.0674303E-03  2.5736472E-03  2.7192096E-02  7.0052552E-02  1.9720406E-01  1.6860378E-03  1.0254342E-03  5.2526237E-04  9.7996666E-05  5.3044663E-03
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  8.2653399E-12  4.4822341E-04  9.8446182E-04  3.4672501E-06  4.1993109E-03  2.5285281E-03  3.2714752E-02  7.6155358E-02  2.1750494E-01  1.6858247E-03  9.7028110E-04  4.4389017E-04  8.2504772E-12  4.4495914E-03
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  2.2793693E-05  4.4187363E-04  9.4716481E-04  2.1518097E-06  3.9584298E-03  2.3845011E-03  2.9893787E-02  7.2485039E-02  2.0786821E-01  1.6293220E-03  9.3370730E-04  4.3767311E-04  2.2709712E-05  4.5484423E-03
  3.1876384E-05  4.3841836E-04  9.2956648E-04  1.5641925E-06  3.8486924E-03  2.3182996E-03  2.8640605E-02  7.0791746E-02  2.0339947E-01  1.6025792E-03  9.1645124E-04  4.3428612E-04  3.1740733E-05  4.5979578E-03
  4.0085432E-05  4.3471097E-04  9.1239233E-04  1.0110065E-06  3.7438738E-03  2.2551134E-03  2.7468924E-02  6.9169505E-02  1.9910454E-01  1.5766388E-03  8.9960157E-04  4.3064634E-04  3.9903240E-05  4.6476753E-03
  4.7498832E-05  4.3075917E-04  8.9559975E-04  1.0000000E-06  3.6436298E-03  2.1947221E-03  2.6370448E-02  6.7613947E-02  1.9497337E-01  1.5518671E-03  8.8312056E-04  4.2676395E-04  4.7276482E-05  4.6975964E-03
  5.4214241E-05  4.2667379E-04  8.7925897E-04  1.0000000E-06  3.5477605E-03  2.1370112E-03  2.5341598E-02  6.6121164E-02  1.9099678E-01  1.5279249E-03  8.6708161E-04  4.2274597E-04  5.3956358E-05  4.7477232E-03
  6.0290712E-05  4.2245156E-04  8.6333118E-04  1.0000000E-06  3.4559636E-03  2.0817883E-03  2.4375557E-02  6.4687438E-02  1.8716619E-01  1.5048235E-03  8.5144567E-04  4.1859315E-04  6.0002483E-05  4.7980577E-03
  6.5792699E-05  4.1812548E-04  8.4780988E-04  1.0000000E-06  3.3679995E-03  2.0289084E-03  2.3467295E-02  6.3309378E-02  1.8347365E-01  1.4826102E-03  8.3620398E-04  4.1433313E-04  6.5476711E-05  4.8486019E-03
  7.0773268E-05  4.1371577E-04  8.3268900E-04  1.0000000E-06  3.2836560E-03  1.9782336E-03  2.2612274E-02  6.1983840E-02  1.7991182E-01  1.4625849E-03  8.2135257E-04  4.0998909E-04  7.0431593E-05  4.8993572E-03
  7.5278693E-05  4.0924598E-04  8.1795998E-04  1.0000000E-06  3.2027164E-03  1.9296323E-03  2.1806387E-02  6.0707920E-02  1.7647382E-01  1.4430622E-03  8.0688362E-04  4.0558514E-04  7.4916167E-05  4.9503261E-03
  7.9331422E-05  4.0469612E-04  8.0357681E-04  1.0000000E-06  3.1249543E-03  1.8829603E-03  2.1044455E-02  5.9478877E-02  1.7315327E-01  1.4239994E-03  7.9275188E-04  4.0109940E-04  7.8950787E-05  5.0015106E-03
  8.3013735E-05  4.0015288E-04  7.8959893E-04  1.0000000E-06  3.0502660E-03  1.8381639E-03  2.0325877E-02  5.8294280E-02  1.6994428E-01  1.4054276E-03  7.7901655E-04  3.9662026E-04  8.2615631E-05  5.0529129E-03
  8.6340486E-05  3.9559699E-04  7.7598735E-04  1.0000000E-06  2.9784556E-03  1.7951155E-03  1.9646251E-02  5.7151766E-02  1.6684128E-01  1.3874768E-03  7.6563995E-04  3.9212534E-04  8.5930428E-05  5.1045346E-03
  8.9343589E-05  3.9103906E-04  7.6273021E-04  1.0000000E-06  2.9093621E-03  1.7537203E-03  1.9002777E-02  5.6049158E-02  1.6383908E-01  1.3702237E-03  7.5260775E-04  3.8762901E-04  8.8919970E-05  5.1563781E-03
  9.2048807E-05  3.8648854E-04  7.4981717E-04  1.0000000E-06  2.8428474E-03  1.7138872E-03  1.8392901E-02  5.4984435E-02  1.6093285E-01  1.3533857E-03  7.3991141E-04  3.8313891E-04  9.1616216E-05  5.2084458E-03
  9.4487424E-05  3.8195555E-04  7.3723924E-04  1.0000000E-06  2.7787784E-03  1.6755375E-03  1.7814292E-02  5.3955706E-02  1.5811804E-01  1.3369392E-03  7.2754564E-04  3.7866498E-04  9.4045676E-05  5.2607394E-03
  9.6677890E-05  3.7744643E-04  7.2498704E-04  1.0000000E-06  2.7170295E-03  1.6385939E-03  1.7264811E-02  5.2961202E-02  1.5539039E-01  1.3208714E-03  7.1549901E-04  3.7421403E-04  9.6228248E-05  5.3132619E-03
  9.8613703E-05  3.7293273E-04  7.1301287E-04  1.0000000E-06  2.6574468E-03  1.6029553E-03  1.6741005E-02  5.1999239E-02  1.5274587E-01  1.3051454E-03  7.0372164E-04  3.6975628E-04  9.8158212E-05  5.3660146E-03
  1.0036897E-04  3.6848771E-04  7.0138071E-04  1.0000000E-06  2.5999911E-03  1.5686408E-03  1.6243959E-02  5.1068334E-02  1.5018080E-01  1.2897961E-03  6.9227940E-04  3.6536712E-04  9.9909214E-05  5.4190005E-03
  1.0193633E-04  3.6408296E-04  6.9004305E-04  1.0000000E-06  2.5445289E-03  1.5355375E-03  1.5770635E-02  5.0166999E-02  1.4769161E-01  1.2747909E-03  6.8112718E-04  3.6101678E-04  1.0147106E-04  5.4722216E-03
  1.0332936E-04  3.5972374E-04  6.7899492E-04  1.0000000E-06  2.4909641E-03  1.5035800E-03  1.5319513E-02  4.9293872E-02  1.4527498E-01  1.2601380E-03  6.7025896E-04  3.5671028E-04  1.0286086E-04  5.5256805E-03
  1.0456199E-04  3.5541066E-04  6.6822513E-04  1.0000000E-06  2.4392037E-03  1.4727143E-03  1.4889194E-02  4.8447670E-02  1.4292778E-01  1.2459199E-03  6.5966148E-04  3.5244952E-04  1.0409296E-04  5.5793793E-03
  1.0564883E-04  3.5114878E-04  6.5772551E-04  1.0000000E-06  2.3891645E-03  1.4428855E-03  1.4478388E-02  4.7627186E-02  1.4064705E-01  1.2320076E-03  6.4932877E-04  3.4823617E-04  1.0517647E-04  5.6333208E-03
  0.0000000E+00  0.0000000E+00  2.6388181E-09  5.9268570E-05  1.2442666E-02  7.5301000E-03  1.9864186E-01  2.0794511E-01  5.4240491E-01  2.6743608E-03  2.6160611E-09  4.8000000E-09  0.0000000E+00  3.1407468E-03
  0.0000000E+00  0.0000000E+00  9.5454081E-04  4.8742314E-05  1.1232706E-02  6.7208068E-03  1.7088662E-01  1.9001834E-01  5.0185205E-01  2.5728446E-03  9.4631107E-04  5.0000000E-09  0.0000000E+00  3.1811554E-03
  0.0000000E+00  0.0000000E+00  1.0312187E-03  4.0986794E-05  1.0308036E-02  6.1162787E-03  1.5138623E-01  1.7597602E-01  4.6945288E-01  2.4892371E-03  1.0182077E-03  4.2000000E-09  0.0000000E+00  3.2210262E-03
  0.0000000E+00  0.0000000E+00  1.0791267E-03  3.4355003E-05  9.5259211E-03  5.6205038E-03  1.3497748E-01  1.6404297E-01  4.4152786E-01  2.4129675E-03  1.0633160E-03  5.1000000E-09  0.0000000E+00  3.2610100E-03
  0.0000000E+00  0.0000000E+00  1.1068458E-03  2.8613223E-05  8.8545532E-03  5.2066160E-03  1.2110386E-01  1.5375892E-01  4.1715458E-01  2.3409656E-03  1.0894689E-03  4.3000000E-09  0.0000000E+00  3.3011075E-03
  0.0000000E+00  0.0000000E+00  1.1202811E-03  2.3594398E-05  8.2711398E-03  4.8494098E-03  1.0929910E-01  1.4478981E-01  3.9565324E-01  2.2819565E-03  1.1020624E-03  4.6000000E-09  0.0000000E+00  3.3413194E-03
  0.0000000E+00  1.6972837E-10  1.1235513E-03  1.9174004E-05  7.7589005E-03  4.5375722E-03  9.9185492E-02  1.3688758E-01  3.7651152E-01  2.2269608E-03  1.1049902E-03  1.6932916E-10  0.0000000E+00  3.3816465E-03
  0.0000000E+00  1.3994725E-04  1.1167931E-03  1.5017958E-05  7.2890252E-03  4.2522280E-03  8.9625584E-02  1.2965512E-01  3.5883826E-01  2.1709242E-03  1.0982640E-03  1.3961809E-04  0.0000000E+00  3.4220569E-03
  0.0000000E+00  1.8826035E-04  1.1080601E-03  1.1617400E-05  6.8926237E-03  4.0132413E-03  8.1983306E-02  1.2349146E-01  3.4362498E-01  2.1210817E-03  1.0897413E-03  1.8703387E-04  0.0000000E+00  3.4625104E-03
  0.0000000E+00  2.2682133E-04  1.0954921E-03  9.1248602E-06  6.5332671E-03  3.7973106E-03  7.5284892E-02  1.1788807E-01  3.2968478E-01  2.0728549E-03  1.0774707E-03  2.2491888E-04  0.0000000E+00  3.5030876E-03
  0.0000000E+00  2.5755518E-04  1.0800180E-03  7.2774872E-06  6.2059042E-03  3.6031134E-03  6.9384709E-02  1.1277021E-01  3.1685805E-01  2.0263018E-03  1.0623773E-03  2.5513691E-04  0.0000000E+00  3.5437898E-03
  0.0000000E+00  2.8203928E-04  1.0627492E-03  5.6816133E-06  5.9067486E-03  3.4265088E-03  6.4163818E-02  1.0807639E-01  3.0501175E-01  1.9812915E-03  1.0455297E-03  2.7924739E-04  0.0000000E+00  3.5846172E-03
  0.0000000E+00  3.0141275E-04  1.0440662E-03  4.2347888E-06  5.6321357E-03  3.2646516E-03  5.9522901E-02  1.0375477E-01  2.9403324E-01  1.9377077E-03  1.0272824E-03  2.9832623E-04  0.0000000E+00  3.6255711E-03
  0.0000000E+00  3.1669963E-04  1.0246334E-03  2.9246941E-06  5.3794047E-03  3.1182558E-03  5.5381648E-02  9.9762159E-02  2.8382728E-01  1.8957010E-03  1.0083090E-03  3.1341006E-04  0.0000000E+00  3.6666524E-03
  0.0000000E+00  3.2857303E-04  1.0046319E-03  1.7324894E-06  5.1459266E-03  2.9835059E-03  5.1670311E-02  9.6061506E-02  2.7431205E-01  1.8561146E-03  9.8876481E-04  3.2513116E-04  0.0000000E+00  3.7078619E-03
  0.0000000E+00  3.3773036E-04  9.8448139E-04  1.0000000E-06  4.9297635E-03  2.8588311E-03  4.8333576E-02  9.2621537E-02  2.6541744E-01  1.8181070E-03  9.6907004E-04  3.3418439E-04  0.0000000E+00  3.7492003E-03
  0.0000000E+00  3.4456908E-04  9.6424273E-04  1.0000000E-06  4.7289725E-03  2.7430607E-03  4.5321478E-02  8.9415068E-02  2.5708250E-01  1.7813961E-03  9.4927603E-04  3.4095325E-04  0.0000000E+00  3.7906689E-03
  0.0000000E+00  3.4957440E-04  9.4419360E-04  1.0000000E-06  4.5421164E-03  2.6353770E-03  4.2595118E-02  8.6418844E-02  2.4925436E-01  1.7460188E-03  9.2965821E-04  3.4591856E-04  0.0000000E+00  3.8322684E-03
  0.0000000E+00  3.5302866E-04  9.2438076E-04  1.0000000E-06  4.3677839E-03  2.5349479E-03  4.0119043E-02  8.3612501E-02  2.4188667E-01  1.7119029E-03  9.1026831E-04  3.4935258E-04  0.0000000E+00  3.8740000E-03
  0.0000000E+00  3.5515076E-04  9.0483475E-04  1.0000000E-06  4.2047329E-03  2.4410329E-03  3.7862392E-02  8.0978236E-02  2.3493863E-01  1.6789598E-03  8.9112869E-04  3.5146913E-04  0.0000000E+00  3.9158645E-03
  0.0000000E+00  3.5624184E-04  8.8571973E-04  1.0000000E-06  4.0520209E-03  2.3531032E-03  3.5801944E-02  7.8500586E-02  2.2837441E-01  1.6473371E-03  8.7240871E-04  3.5257547E-04  0.0000000E+00  3.9578628E-03
  0.0000000E+00  3.5644808E-04  8.6702824E-04  1.0000000E-06  3.9086813E-03  2.2705917E-03  3.3914827E-02  7.6165777E-02  2.2216206E-01  1.6173883E-03  8.5409718E-04  3.5280182E-04  0.0000000E+00  3.9999957E-03
  0.0000000E+00  3.5587312E-04  8.4873783E-04  1.0000000E-06  3.7738595E-03  2.1929889E-03  3.2180889E-02  7.3961615E-02  2.1627319E-01  1.5886204E-03  8.3617806E-04  3.5226005E-04  0.0000000E+00  4.0422648E-03
  0.0000000E+00  3.5472529E-04  8.3096466E-04  1.0000000E-06  3.6469189E-03  2.1199429E-03  3.0585875E-02  7.1877390E-02  2.1068255E-01  1.5608453E-03  8.1875297E-04  3.5114905E-04  0.0000000E+00  4.0846704E-03
  0.0000000E+00  3.5306585E-04  8.1366583E-04  1.0000000E-06  3.5271704E-03  2.0510467E-03  2.9114461E-02  6.9903451E-02  2.0536740E-01  1.5342758E-03  8.0179517E-04  3.4953373E-04  0.0000000E+00  4.1272139E-03
  0.0000000E+00  3.5098589E-04  7.9685285E-04  1.0000000E-06  3.4140389E-03  1.9859684E-03  2.7754121E-02  6.8031181E-02  2.0030733E-01  1.5090004E-03  7.8530422E-04  3.4750216E-04  0.0000000E+00  4.1698964E-03
  6.4690756E-12  3.4852153E-04  7.8048070E-04  1.0000000E-06  3.3069690E-03  1.9243743E-03  2.6492601E-02  6.6252820E-02  1.9548391E-01  1.4845029E-03  7.6924260E-04  3.4508759E-04  6.4566490E-12  4.2127187E-03
  9.9722421E-06  3.4559625E-04  7.6418806E-04  1.0000000E-06  3.2024086E-03  1.8655668E-03  2.5255571E-02  6.4533507E-02  1.9080341E-01  1.4608311E-03  7.5325692E-04  3.4221837E-04  9.9530860E-06  4.2554725E-03
  1.7643098E-05  3.4270865E-04  7.4896085E-04  1.0000000E-06  3.1071411E-03  1.8107984E-03  2.4134454E-02  6.2935597E-02  1.8643847E-01  1.4393613E-03  7.3831476E-04  3.3938502E-04  1.7577110E-05  4.2980013E-03
  2.4556366E-05  3.3960745E-04  7.3412833E-04  1.0000000E-06  3.0163970E-03  1.7586270E-03  2.3089832E-02  6.1407822E-02  1.8225174E-01  1.4193748E-03  7.2376100E-04  3.3634078E-04  2.4450420E-05  4.3407017E-03
  3.0793437E-05  3.3633281E-04  7.1969351E-04  1.0000000E-06  2.9298754E-03  1.7088877E-03  2.2114942E-02  5.9945737E-02  1.7823254E-01  1.3998527E-03  7.0958940E-04  3.3312317E-04  3.0650567E-05  4.3835751E-03
  3.6411170E-05  3.3288401E-04  7.0560998E-04  1.0000000E-06  2.8472737E-03  1.6613904E-03  2.1202407E-02  5.8545227E-02  1.7437098E-01  1.3807674E-03  6.9575942E-04  3.2972981E-04  3.6235048E-05  4.4266232E-03
  4.1486752E-05  3.2935533E-04  6.9194093E-04  1.0000000E-06  2.7684121E-03  1.6160526E-03  2.0349316E-02  5.7202614E-02  1.7065805E-01  1.3621494E-03  6.8233873E-04  3.2625805E-04  4.1282812E-05  4.4698474E-03
  4.6070334E-05  3.2574092E-04  6.7865140E-04  1.0000000E-06  2.6930306E-03  1.5727127E-03  1.9549626E-02  5.5914411E-02  1.6708531E-01  1.3439673E-03  6.6928540E-04  3.2269968E-04  4.5842929E-05  4.5132497E-03
  5.0208934E-05  3.2206265E-04  6.6572922E-04  1.0000000E-06  2.6209129E-03  1.5312507E-03  1.8798967E-02  5.4677436E-02  1.6364499E-01  1.3262126E-03  6.5658952E-04  3.1907584E-04  4.9959438E-05  4.5568315E-03
  5.3943606E-05  3.1833772E-04  6.5316287E-04  1.0000000E-06  2.5518678E-03  1.4915539E-03  1.8093400E-02  5.3488746E-02  1.6032987E-01  1.3088703E-03  6.4424330E-04  3.1540480E-04  5.3675600E-05  4.6005945E-03
  5.7316226E-05  3.1458282E-04  6.4094857E-04  1.0000000E-06  2.4857090E-03  1.4535172E-03  1.7429373E-02  5.2345516E-02  1.5713300E-01  1.2919316E-03  6.3224106E-04  3.1170447E-04  5.7031792E-05  4.6445405E-03
  6.0336071E-05  3.1077398E-04  6.2903831E-04  1.0000000E-06  2.4222518E-03  1.4170257E-03  1.6802280E-02  5.1245504E-02  1.5404894E-01  1.2753646E-03  6.2053297E-04  3.0794936E-04  6.0036316E-05  4.6886711E-03
  6.3075678E-05  3.0699336E-04  6.1749287E-04  1.0000000E-06  2.3613923E-03  1.3820339E-03  1.6211857E-02  5.0186125E-02  1.5107113E-01  1.2591972E-03  6.0918184E-04  3.0421846E-04  6.2762996E-05  4.7329884E-03
  6.5542854E-05  3.0321627E-04  6.0626438E-04  1.0000000E-06  2.3029607E-03  1.3484384E-03  1.5654194E-02  4.9165277E-02  1.4819442E-01  1.2434021E-03  5.9814381E-04  3.0049258E-04  6.5219218E-05  4.7774938E-03
  6.7761145E-05  2.9944926E-04  5.9534744E-04  1.0000000E-06  2.2468210E-03  1.3161589E-03  1.5126888E-02  4.8180934E-02  1.4541377E-01  1.2279652E-03  5.8741052E-04  2.9677716E-04  6.7428887E-05  4.8221892E-03
  6.9754451E-05  2.9570310E-04  5.8473268E-04  1.0000000E-06  2.1928512E-03  1.2851286E-03  1.4627750E-02  4.7231217E-02  1.4272447E-01  1.2128772E-03  5.7697113E-04  2.9308017E-04  6.9415036E-05  4.8670766E-03
  7.1543208E-05  2.9198304E-04  5.7440997E-04  1.0000000E-06  2.1409365E-03  1.2552795E-03  1.4154782E-02  4.6314364E-02  1.4012210E-01  1.1981299E-03  5.6681927E-04  2.8940620E-04  7.1197240E-05  4.9121578E-03
  7.3144521E-05  2.8829327E-04  5.6436779E-04  1.0000000E-06  2.0909685E-03  1.2265479E-03  1.3706161E-02  4.5428736E-02  1.3760255E-01  1.1837092E-03  5.5694200E-04  2.8576438E-04  7.2792045E-05  4.9574348E-03
  7.4545653E-05  2.8460327E-04  5.5456354E-04  1.0000000E-06  2.0428112E-03  1.1988501E-03  1.3278792E-02  4.4572763E-02  1.3516190E-01  1.1696012E-03  5.4729676E-04  2.8211898E-04  7.4188730E-05  5.0029093E-03
  7.5815966E-05  2.8098440E-04  5.4505686E-04  1.0000000E-06  1.9964391E-03  1.1721859E-03  1.2873892E-02  4.3745080E-02  1.3279659E-01  1.1559643E-03  5.3794371E-04  2.7854469E-04  7.5456274E-05  5.0485833E-03
  7.6943653E-05  2.7740540E-04  5.3580572E-04  1.0000000E-06  1.9517303E-03  1.1464773E-03  1.2488736E-02  4.2944303E-02  1.3050318E-01  1.1426462E-03  5.2883971E-04  2.7500969E-04  7.6580400E-05  5.0944590E-03
  7.7939273E-05  2.7387075E-04  5.2680061E-04  1.0000000E-06  1.9086024E-03  1.1216777E-03  1.2122033E-02  4.2169171E-02  1.2827845E-01  1.1296117E-03  5.1997927E-04  2.7151816E-04  7.7574219E-05  5.1405382E-03
  7.8815516E-05  2.7038173E-04  5.1803348E-04  1.0000000E-06  1.8669821E-03  1.0977439E-03  1.1772600E-02  4.1418501E-02  1.2611937E-01  1.1168796E-03  5.1135239E-04  2.6807147E-04  7.8448599E-05  5.1868233E-03
  7.9581561E-05  2.6694055E-04  5.0949737E-04  1.0000000E-06  1.8267925E-03  1.0746329E-03  1.1439344E-02  4.0691177E-02  1.2402311E-01  1.1045100E-03  5.0295067E-04  2.6466968E-04  7.9212959E-05  5.2333160E-03
  0.0000000E+00  0.0000000E+00  2.2762696E-09  2.4294376E-05  1.0450139E-02  5.8399675E-03  1.7736405E-01  1.8889263E-01  5.1001848E-01  2.2968311E-03  2.2576113E-09  4.6000000E-09  0.0000000E+00  3.0820014E-03
  0.0000000E+00  0.0000000E+00  8.2338834E-04  1.5489594E-05  9.3734506E-03  5.2078923E-03  1.5093804E-01  1.7191286E-01  4.6988591E-01  2.2296617E-03  8.1664429E-04  4.5000000E-09  0.0000000E+00  3.1158191E-03
  0.0000000E+00  0.0000000E+00  8.7783985E-04  9.2648356E-06  8.5493204E-03  4.7454257E-03  1.3260752E-01  1.5864032E-01  4.3793664E-01  2.1748901E-03  8.6719677E-04  4.4000000E-09  0.0000000E+00  3.1501054E-03
  0.0000000E+00  0.0000000E+00  9.0987685E-04  5.6984916E-06  7.8575723E-03  4.3607343E-03  1.1736542E-01  1.4740735E-01  4.1052275E-01  2.1213956E-03  8.9697948E-04  4.1000000E-09  0.0000000E+00  3.1844882E-03
  0.0000000E+00  0.0000000E+00  9.2631873E-04  2.9315423E-06  7.2678691E-03  4.0331925E-03  1.0460814E-01  1.3776246E-01  3.8669278E-01  2.0750693E-03  9.1217727E-04  5.2000000E-09  0.0000000E+00  3.2189678E-03
  0.0000000E+00  0.0000000E+00  9.3184503E-04  1.0000000E-06  6.7585622E-03  3.7541392E-03  9.3848604E-02  1.2937928E-01  3.6574858E-01  2.0303493E-03  9.1706491E-04  5.1000000E-09  0.0000000E+00  3.2535454E-03
  0.0000000E+00  1.4074743E-10  9.2972995E-04  1.0000000E-06  6.3138708E-03  3.5124509E-03  8.4702244E-02  1.2201622E-01  3.4716616E-01  1.9856348E-03  9.1469336E-04  1.4042387E-10  0.0000000E+00  3.2882208E-03
  0.0000000E+00  1.1605140E-04  9.1991683E-04  1.0000000E-06  5.9081688E-03  3.2910992E-03  7.6140956E-02  1.1529625E-01  3.3006120E-01  1.9390210E-03  9.0493402E-04  1.1578462E-04  0.0000000E+00  3.3229635E-03
  0.0000000E+00  1.5367304E-04  9.0912641E-04  1.0000000E-06  5.5674144E-03  3.1054809E-03  6.9339186E-02  1.0958539E-01  3.1538293E-01  1.8976989E-03  8.9433743E-04  1.5267939E-04  0.0000000E+00  3.3577340E-03
  0.0000000E+00  1.8346563E-04  8.9560211E-04  1.0000000E-06  5.2598479E-03  2.9376636E-03  6.3410149E-02  1.0440641E-01  3.0196891E-01  1.8571249E-03  8.8108857E-04  1.8192881E-04  0.0000000E+00  3.3926099E-03
  0.0000000E+00  2.0699897E-04  8.8006871E-04  1.0000000E-06  4.9807948E-03  2.7851319E-03  5.8214333E-02  9.9687126E-02  2.8965738E-01  1.8172522E-03  8.6587970E-04  2.0505912E-04  0.0000000E+00  3.4275922E-03
  0.0000000E+00  2.2557298E-04  8.6339642E-04  1.0000000E-06  4.7267483E-03  2.6460937E-03  5.3638622E-02  9.5368304E-02  2.7831389E-01  1.7784231E-03  8.4956436E-04  2.2332720E-04  0.0000000E+00  3.4626817E-03
  0.0000000E+00  2.4008706E-04  8.4583926E-04  1.0000000E-06  4.4943824E-03  2.5187117E-03  4.9589421E-02  9.1400200E-02  2.6782502E-01  1.7406406E-03  8.3238896E-04  2.3761790E-04  0.0000000E+00  3.4978791E-03
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  0.0000000E+00  2.6003101E-04  8.0979581E-04  1.0000000E-06  4.0849833E-03  2.2938702E-03  4.2779633E-02  8.4356500E-02  2.4904207E-01  1.6712193E-03  7.9710668E-04  2.5727921E-04  0.0000000E+00  3.5686001E-03
  0.0000000E+00  2.6655205E-04  7.9172999E-04  1.0000000E-06  3.9038224E-03  2.1942006E-03  3.9902903E-02  8.1215662E-02  2.4059596E-01  1.6387611E-03  7.7941692E-04  2.6371581E-04  0.0000000E+00  3.6041254E-03
  0.0000000E+00  2.7126819E-04  7.7376730E-04  1.0000000E-06  3.7360303E-03  2.1018181E-03  3.7315265E-02  7.8293030E-02  2.3269598E-01  1.6072554E-03  7.6182460E-04  2.6838325E-04  0.0000000E+00  3.6397617E-03
  0.0000000E+00  2.7457671E-04  7.5611669E-04  1.0000000E-06  3.5803164E-03  2.0162112E-03  3.4980998E-02  7.5566499E-02  2.2528954E-01  1.5767581E-03  7.4453547E-04  2.7166409E-04  0.0000000E+00  3.6755097E-03
  0.0000000E+00  2.7670050E-04  7.3880225E-04  1.0000000E-06  3.4354219E-03  1.9364710E-03  3.2867813E-02  7.3016768E-02  2.1833064E-01  1.5472281E-03  7.2756605E-04  2.7377371E-04  0.0000000E+00  3.7113703E-03
  0.0000000E+00  2.7780493E-04  7.2182658E-04  1.0000000E-06  3.3002409E-03  1.8619900E-03  3.0947733E-02  7.0626999E-02  2.1177884E-01  1.5186994E-03  7.1093016E-04  2.7488020E-04  0.0000000E+00  3.7473443E-03
  0.0000000E+00  2.7813457E-04  7.0531535E-04  1.0000000E-06  3.1739451E-03  1.7923503E-03  2.9199705E-02  6.8382564E-02  2.0559874E-01  1.4911740E-03  6.9474510E-04  2.7522342E-04  0.0000000E+00  3.7834322E-03
  0.0000000E+00  2.7780069E-04  6.8925161E-04  1.0000000E-06  3.0556828E-03  1.7270778E-03  2.7603162E-02  6.6270488E-02  1.9975882E-01  1.4650096E-03  6.7899738E-04  2.7491223E-04  0.0000000E+00  3.8196353E-03
  0.0000000E+00  2.7688443E-04  6.7360807E-04  1.0000000E-06  2.9446897E-03  1.6657604E-03  2.6140054E-02  6.4279284E-02  1.9423110E-01  1.4423016E-03  6.6364992E-04  2.7401934E-04  0.0000000E+00  3.8559543E-03
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  0.0000000E+00  2.7383832E-04  6.4378004E-04  1.0000000E-06  2.7422514E-03  1.5538062E-03  2.3562186E-02  6.0620247E-02  1.8401549E-01  1.3991169E-03  6.3438813E-04  2.7104413E-04  0.0000000E+00  3.9289428E-03
  0.0000000E+00  2.7182668E-04  6.2955730E-04  1.0000000E-06  2.6496984E-03  1.5025632E-03  2.2422674E-02  5.8935273E-02  1.7928528E-01  1.3783528E-03  6.2043045E-04  2.6907213E-04  0.0000000E+00  3.9656145E-03
  5.0374865E-12  2.6956746E-04  6.1579027E-04  1.0000000E-06  2.5623132E-03  1.4541490E-03  2.1369346E-02  5.7336743E-02  1.7478214E-01  1.3581190E-03  6.0691757E-04  2.6685645E-04  5.0282243E-12  4.0024053E-03
  7.7654115E-06  2.6690482E-04  6.0207241E-04  1.0000000E-06  2.4769605E-03  1.4080030E-03  2.0337806E-02  5.5792961E-02  1.7041767E-01  1.3384573E-03  5.9344622E-04  2.6423945E-04  7.7511336E-06  4.0391169E-03
  1.3587460E-05  2.6433258E-04  5.8930424E-04  1.0000000E-06  2.3994800E-03  1.3650312E-03  1.9406360E-02  5.4359897E-02  1.6635272E-01  1.3194518E-03  5.8091148E-04  2.6171266E-04  1.3535595E-05  4.0755996E-03
  1.8823340E-05  2.6161383E-04  5.7690235E-04  1.0000000E-06  2.3258123E-03  1.3241449E-03  1.8540117E-02  5.2991214E-02  1.6245831E-01  1.3008779E-03  5.6873675E-04  2.5904128E-04  1.8739959E-05  4.1122281E-03
  2.3536287E-05  2.5877746E-04  5.6486385E-04  1.0000000E-06  2.2556956E-03  1.2852225E-03  1.7733175E-02  5.1682759E-02  1.5872402E-01  1.2827246E-03  5.5691378E-04  2.5625328E-04  2.3424313E-05  4.1490040E-03
  2.7768951E-05  2.5582061E-04  5.5314599E-04  1.0000000E-06  2.1888666E-03  1.2485071E-03  1.6979108E-02  5.0430693E-02  1.5514020E-01  1.2649663E-03  5.4540092E-04  2.5333889E-04  2.7629973E-05  4.1859290E-03
  3.1587144E-05  2.5282177E-04  5.4180166E-04  1.0000000E-06  2.1251747E-03  1.2135031E-03  1.6275423E-02  4.9231593E-02  1.5169809E-01  1.2476368E-03  5.3426020E-04  2.5038893E-04  3.1428410E-05  4.2230043E-03
  3.5025364E-05  2.4977098E-04  5.3079489E-04  1.0000000E-06  2.0643880E-03  1.1800677E-03  1.5616869E-02  4.8082213E-02  1.4838948E-01  1.2307026E-03  5.2344202E-04  2.4738428E-04  3.4845971E-05  4.2602311E-03
  3.8122058E-05  2.4668670E-04  5.2011440E-04  1.0000000E-06  2.0063289E-03  1.1481063E-03  1.4999674E-02  4.6979593E-02  1.4520681E-01  1.2141584E-03  5.1294640E-04  2.4434404E-04  3.7925003E-05  4.2976107E-03
  4.0910023E-05  2.4358152E-04  5.0975179E-04  1.0000000E-06  1.9508278E-03  1.1175294E-03  1.4420443E-02  4.5921006E-02  1.4214311E-01  1.1979951E-03  5.0276026E-04  2.4128289E-04  4.0699029E-05  4.3351449E-03
  4.3418946E-05  2.4046376E-04  4.9969678E-04  1.0000000E-06  1.8977317E-03  1.0882554E-03  1.3876121E-02  4.4903929E-02  1.3919189E-01  1.1822030E-03  4.9287665E-04  2.3821023E-04  4.3196860E-05  4.3728349E-03
  4.5658254E-05  2.3731612E-04  4.8990941E-04  1.0000000E-06  1.8468684E-03  1.0601852E-03  1.3362724E-02  4.3925993E-02  1.3634709E-01  1.1667521E-03  4.8325169E-04  2.3510448E-04  4.5423579E-05  4.4106824E-03
  4.7684088E-05  2.3420255E-04  4.8043629E-04  1.0000000E-06  1.7981640E-03  1.0332909E-03  1.2880091E-02  4.2985095E-02  1.3360318E-01  1.1517053E-03  4.7393713E-04  2.3203306E-04  4.7440415E-05  4.4486888E-03
  4.9504168E-05  2.3110472E-04  4.7124336E-04  1.0000000E-06  1.7514710E-03  1.0074903E-03  1.2424848E-02  4.2079198E-02  1.3095491E-01  1.1371606E-03  4.6489625E-04  2.2897584E-04  4.9251425E-05  4.4868555E-03
  5.1134699E-05  2.2802673E-04  4.6231906E-04  1.0000000E-06  1.7066701E-03  9.8271800E-04  1.1994943E-02  4.1206431E-02  1.2839742E-01  1.1229361E-03  4.5611838E-04  2.2593790E-04  5.0874593E-05  4.5251839E-03
  5.2593801E-05  2.2497358E-04  4.5365416E-04  1.0000000E-06  1.6636614E-03  9.5891901E-04  1.1588512E-02  4.0365057E-02  1.2592619E-01  1.1091436E-03  4.4759684E-04  2.2292524E-04  5.2329974E-05  4.5636763E-03
  5.3898753E-05  2.2195055E-04  4.4524046E-04  1.0000000E-06  1.6223457E-03  9.3604396E-04  1.1203859E-02  3.9553458E-02  1.2353696E-01  1.0956961E-03  4.3931860E-04  2.1994032E-04  5.3628954E-05  4.6023334E-03
  5.5061345E-05  2.1895842E-04  4.3706773E-04  1.0000000E-06  1.5826296E-03  9.1403910E-04  1.0839435E-02  3.8770120E-02  1.2122577E-01  1.0825378E-03  4.3127830E-04  2.1698693E-04  5.4786722E-05  4.6411575E-03
  5.6070504E-05  2.1597280E-04  4.2909773E-04  1.0000000E-06  1.5444018E-03  8.9283898E-04  1.0492568E-02  3.8013604E-02  1.1898887E-01  1.0696397E-03  4.2343664E-04  2.1403731E-04  5.5792304E-05  4.6801497E-03
  5.6983146E-05  2.1305219E-04  4.2138079E-04  1.0000000E-06  1.5076384E-03  8.7244562E-04  1.0164388E-02  3.7282646E-02  1.1682284E-01  1.0570326E-03  4.1584232E-04  2.1115286E-04  5.6702981E-05  4.7193120E-03
  5.7789669E-05  2.1017203E-04  4.1388353E-04  1.0000000E-06  1.4722385E-03  8.5279633E-04  9.8525446E-03  3.6575983E-02  1.1472437E-01  1.0446920E-03  4.0846430E-04  2.0830756E-04  5.7506946E-05  4.7586461E-03
  5.8496220E-05  2.0733310E-04  4.0659412E-04  1.0000000E-06  1.4381320E-03  8.3385366E-04  9.5559496E-03  3.5892455E-02  1.1269040E-01  1.0326073E-03  4.0128785E-04  2.0550289E-04  5.8211748E-05  4.7981535E-03
  5.9113106E-05  2.0453428E-04  3.9950514E-04  1.0000000E-06  1.4052576E-03  8.1558469E-04  9.2736062E-03  3.5230980E-02  1.1071802E-01  1.0207749E-03  3.9431246E-04  2.0273841E-04  5.8827820E-05  4.8378361E-03
  5.9647693E-05  2.0177955E-04  3.9261260E-04  1.0000000E-06  1.3735517E-03  7.9795459E-04  9.0045966E-03  3.4590533E-02  1.0880453E-01  1.0091862E-03  3.8752627E-04  2.0001607E-04  5.9361564E-05  4.8776955E-03
  0.0000000E+00  0.0000000E+00  1.9549948E-09  1.0000000E-06  8.6204625E-03  4.5876067E-03  1.5778089E-01  1.7056080E-01  4.7692445E-01  2.0939857E-03  1.9397564E-09  1.5000000E-09  0.0000000E+00  3.0292781E-03
  0.0000000E+00  0.0000000E+00  7.0716684E-04  1.0000000E-06  7.6743893E-03  4.0991985E-03  1.3288852E-01  1.5455500E-01  4.3742152E-01  2.0435918E-03  7.0166049E-04  2.1000000E-09  0.0000000E+00  3.0591975E-03
  0.0000000E+00  0.0000000E+00  7.4400229E-04  1.0000000E-06  6.9598234E-03  3.7289805E-03  1.1576276E-01  1.4213306E-01  4.0621338E-01  1.9973803E-03  7.3533806E-04  2.1000000E-09  0.0000000E+00  3.0885822E-03
  0.0000000E+00  0.0000000E+00  7.6371940E-04  1.0000000E-06  6.3639252E-03  3.4194166E-03  1.0168781E-01  1.3165911E-01  3.7954696E-01  1.9580009E-03  7.5324851E-04  2.9000000E-09  0.0000000E+00  3.1180489E-03
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  0.0000000E+00  1.1608803E-10  7.6563736E-04  1.0000000E-06  5.0480055E-03  2.7355482E-03  7.2049017E-02  1.0812995E-01  3.1834367E-01  1.8314642E-03  7.5351192E-04  1.1583022E-10  0.0000000E+00  3.2069464E-03
  0.0000000E+00  9.5718826E-05  7.5400629E-04  1.0000000E-06  4.7056625E-03  2.5559466E-03  6.4424064E-02  1.0193935E-01  3.0192670E-01  1.7903257E-03  7.4195288E-04  9.5506250E-05  0.0000000E+00  3.2367154E-03
  0.0000000E+00  1.2476705E-04  7.4217242E-04  1.0000000E-06  4.4192749E-03  2.4056853E-03  5.8403317E-02  9.6692216E-02  2.8788063E-01  1.7535753E-03  7.3028434E-04  1.2397103E-04  0.0000000E+00  3.2664985E-03
  0.0000000E+00  1.4758318E-04  7.2847683E-04  1.0000000E-06  4.1617765E-03  2.2701403E-03  5.3184036E-02  9.1944773E-02  2.7507715E-01  1.7177267E-03  7.1683027E-04  1.4635125E-04  0.0000000E+00  3.2963713E-03
  0.0000000E+00  1.6543394E-04  7.1344571E-04  1.0000000E-06  3.9289921E-03  2.1471969E-03  4.8633667E-02  8.7628171E-02  2.6335434E-01  1.6822686E-03  7.0207713E-04  1.6387731E-04  0.0000000E+00  3.3263344E-03
  0.0000000E+00  1.7937697E-04  6.9779143E-04  1.0000000E-06  3.7177954E-03  2.0353694E-03  4.4645648E-02  8.3686056E-02  2.5257796E-01  1.6475406E-03  6.8672986E-04  1.7757949E-04  0.0000000E+00  3.3563887E-03
  0.0000000E+00  1.9013066E-04  6.8164945E-04  1.0000000E-06  3.5252448E-03  1.9331194E-03  4.1132361E-02  8.0071181E-02  2.4263506E-01  1.6135543E-03  6.7090354E-04  1.8815771E-04  0.0000000E+00  3.3865345E-03
  0.0000000E+00  1.9838772E-04  6.6545792E-04  1.0000000E-06  3.3491853E-03  1.8394179E-03  3.8023807E-02  7.6744315E-02  2.3343062E-01  1.5805058E-03  6.5502958E-04  1.9628585E-04  0.0000000E+00  3.4167728E-03
  0.0000000E+00  2.0455408E-04  6.4923914E-04  1.0000000E-06  3.1875158E-03  1.7531651E-03  3.5260037E-02  7.3672012E-02  2.2488342E-01  1.5483550E-03  6.3913167E-04  2.0236378E-04  0.0000000E+00  3.4471040E-03
  0.0000000E+00  2.0910232E-04  6.3326974E-04  1.0000000E-06  3.0387271E-03  1.6739480E-03  3.2793974E-02  7.0826102E-02  2.1692419E-01  1.5174019E-03  6.2347598E-04  2.0684736E-04  0.0000000E+00  3.4775288E-03
  0.0000000E+00  2.1225965E-04  6.1752524E-04  1.0000000E-06  2.9012776E-03  1.6011995E-03  3.0583597E-02  6.8182229E-02  2.0949301E-01  1.4917135E-03  6.0803660E-04  2.0996808E-04  0.0000000E+00  3.5080480E-03
  0.0000000E+00  2.1434566E-04  6.0217166E-04  1.0000000E-06  2.7740589E-03  1.5337237E-03  2.8596494E-02  6.5719628E-02  2.0253810E-01  1.4665501E-03  5.9297844E-04  2.1203262E-04  0.0000000E+00  3.5386620E-03
  0.0000000E+00  2.1553354E-04  5.8720554E-04  1.0000000E-06  2.6559723E-03  1.4709576E-03  2.6803407E-02  6.3420188E-02  1.9601426E-01  1.4419264E-03  5.7830585E-04  2.1321582E-04  0.0000000E+00  3.5693715E-03
  0.0000000E+00  2.1595092E-04  5.7261991E-04  1.0000000E-06  2.5460624E-03  1.4126235E-03  2.5179075E-02  6.1268129E-02  1.8988191E-01  1.4178402E-03  5.6399364E-04  2.1363529E-04  0.0000000E+00  3.6001776E-03
  0.0000000E+00  2.1579563E-04  5.5850479E-04  1.0000000E-06  2.4436157E-03  1.3582130E-03  2.3704706E-02  5.9249777E-02  1.8410632E-01  1.3943594E-03  5.5014824E-04  2.1349127E-04  0.0000000E+00  3.6310806E-03
  0.0000000E+00  2.1514921E-04  5.4483601E-04  1.0000000E-06  2.3478951E-03  1.3072757E-03  2.2361868E-02  5.7353015E-02  1.7865676E-01  1.3715420E-03  5.3673498E-04  2.1286572E-04  0.0000000E+00  3.6620814E-03
  0.0000000E+00  2.1406800E-04  5.3157933E-04  1.0000000E-06  2.2582516E-03  1.2594775E-03  2.1134429E-02  5.5567134E-02  1.7350592E-01  1.3495363E-03  5.2372246E-04  2.1180708E-04  0.0000000E+00  3.6931806E-03
  0.0000000E+00  2.1268577E-04  5.1879624E-04  1.0000000E-06  2.1742064E-03  1.2145913E-03  2.0011171E-02  5.3882762E-02  1.6862963E-01  1.3281138E-03  5.1117099E-04  2.1045417E-04  0.0000000E+00  3.7243789E-03
  0.0000000E+00  2.1103880E-04  5.0644880E-04  1.0000000E-06  2.0952549E-03  1.1723532E-03  1.8979985E-02  5.2291471E-02  1.6400620E-01  1.3072449E-03  4.9905110E-04  2.0883993E-04  0.0000000E+00  3.7556772E-03
  0.0000000E+00  2.0917777E-04  4.9452755E-04  1.0000000E-06  2.0209593E-03  1.1325431E-03  1.8031071E-02  5.0785771E-02  1.5961622E-01  1.2870020E-03  4.8734440E-04  2.0701182E-04  0.0000000E+00  3.7870761E-03
  3.9007337E-12  2.0711438E-04  4.8298696E-04  1.0000000E-06  1.9509112E-03  1.0949427E-03  1.7154838E-02  4.9358925E-02  1.5544221E-01  1.2673244E-03  4.7600899E-04  2.0498226E-04  3.8932134E-12  3.8185763E-03
  6.0130785E-06  2.0481043E-04  4.7159409E-04  1.0000000E-06  1.8825595E-03  1.0592606E-03  1.6301515E-02  4.7982515E-02  1.5140164E-01  1.2482448E-03  4.6481852E-04  2.0271678E-04  6.0014857E-06  3.8499886E-03
  1.0406348E-05  2.0257196E-04  4.6098054E-04  1.0000000E-06  1.8207217E-03  1.0259851E-03  1.5532140E-02  4.6706238E-02  1.4764306E-01  1.2297977E-03  4.5439429E-04  2.0052292E-04  1.0364446E-05  3.8811675E-03
  1.4347281E-05  2.0024869E-04  4.5069895E-04  1.0000000E-06  1.7620237E-03  9.9435314E-04  1.4817986E-02  4.5488576E-02  1.4404630E-01  1.2117823E-03  4.4429522E-04  1.9827423E-04  1.4281028E-05  3.9124706E-03
  1.7887112E-05  1.9788483E-04  4.4074216E-04  1.0000000E-06  1.7062536E-03  9.6425683E-04  1.4153946E-02  4.4325684E-02  1.4060131E-01  1.1941892E-03  4.3451359E-04  1.9594921E-04  1.7798859E-05  3.9438988E-03
  2.1058027E-05  1.9543498E-04  4.3107222E-04  1.0000000E-06  1.6531830E-03  9.3557184E-04  1.3534371E-02  4.3214020E-02  1.3729876E-01  1.1770641E-03  4.2500935E-04  1.9353443E-04  2.0949034E-05  3.9754535E-03
  2.3911625E-05  1.9296812E-04  4.2173407E-04  1.0000000E-06  1.6026869E-03  9.0824847E-04  1.2957297E-02  4.2150419E-02  1.3413020E-01  1.1605394E-03  4.1583175E-04  1.9110455E-04  2.3785722E-05  4.0071356E-03
  2.6474970E-05  1.9047120E-04  4.1269262E-04  1.0000000E-06  1.5545721E-03  8.8218057E-04  1.2418121E-02  4.1131891E-02  1.3108772E-01  1.1445873E-03  4.0698190E-04  1.8864453E-04  2.6334870E-05  4.0389464E-03
  2.8779126E-05  1.8795914E-04  4.0395763E-04  1.0000000E-06  1.5086973E-03  8.5729216E-04  1.1913607E-02  4.0155713E-02  1.2816405E-01  1.1290320E-03  3.9847862E-04  1.8616748E-04  2.8626175E-05  4.0708869E-03
  3.0847321E-05  1.8543571E-04  3.9557911E-04  1.0000000E-06  1.4651618E-03  8.3350703E-04  1.1440852E-02  3.9219369E-02  1.2535249E-01  1.1138241E-03  3.9023917E-04  1.8368109E-04  3.0681896E-05  4.1029588E-03
  3.2703600E-05  1.8291579E-04  3.8746144E-04  1.0000000E-06  1.4235665E-03  8.1076076E-04  1.0997245E-02  3.8320463E-02  1.2264659E-01  1.0989595E-03  3.8225596E-04  1.8119585E-04  3.2529389E-05  4.1351629E-03
  3.4351217E-05  1.8037373E-04  3.7956730E-04  1.0000000E-06  1.3837759E-03  7.8897256E-04  1.0579278E-02  3.7457061E-02  1.2004121E-01  1.0844109E-03  3.7449098E-04  1.7868732E-04  3.4169599E-05  4.1675006E-03
  3.5841333E-05  1.7787135E-04  3.7194184E-04  1.0000000E-06  1.3457278E-03  7.6812259E-04  1.0187035E-02  3.6626995E-02  1.1753038E-01  1.0702033E-03  3.6699095E-04  1.7621826E-04  3.5651863E-05  4.1999730E-03
  3.7175032E-05  1.7538695E-04  3.6455254E-04  1.0000000E-06  1.3092937E-03  7.4814026E-04  9.8175420E-03  3.5828475E-02  1.1510930E-01  1.0563148E-03  3.5971899E-04  1.7376661E-04  3.6978924E-05  4.2325816E-03
  3.8366845E-05  1.7292573E-04  3.5738677E-04  1.0000000E-06  1.2743845E-03  7.2897699E-04  9.4690627E-03  3.5059791E-02  1.1277334E-01  1.0427327E-03  3.5266914E-04  1.7133671E-04  3.8164966E-05  4.2653277E-03
  3.9429803E-05  1.7048915E-04  3.5043866E-04  1.0000000E-06  1.2409133E-03  7.1058539E-04  9.1400209E-03  3.4319355E-02  1.1051817E-01  1.0294530E-03  3.4583271E-04  1.6893153E-04  3.9223308E-05  4.2982124E-03
  4.0375274E-05  1.6808125E-04  3.4369971E-04  1.0000000E-06  1.2087955E-03  6.9292463E-04  8.8289840E-03  3.3605686E-02  1.0833973E-01  1.0164653E-03  3.3920086E-04  1.6655435E-04  4.0165177E-05  4.3312372E-03
  4.1213779E-05  1.6570378E-04  3.3716264E-04  1.0000000E-06  1.1779617E-03  6.7595376E-04  8.5346477E-03  3.2917401E-02  1.0623425E-01  1.0037614E-03  3.3276606E-04  1.6420644E-04  4.1000964E-05  4.3644035E-03
  4.1933351E-05  1.6333098E-04  3.3078989E-04  1.0000000E-06  1.1483113E-03  6.5969755E-04  8.2546373E-03  3.2253188E-02  1.0419816E-01  9.9131572E-04  3.2649378E-04  1.6186252E-04  4.1717792E-05  4.3977127E-03
  4.2585933E-05  1.6101856E-04  3.2463032E-04  1.0000000E-06  1.1198353E-03  6.4418814E-04  7.9901492E-03  3.1611897E-02  1.0222820E-01  9.7915690E-04  3.2043005E-04  1.5957792E-04  4.2368085E-05  4.4311663E-03
  4.3156331E-05  1.5873961E-04  3.1865087E-04  1.0000000E-06  1.0924471E-03  6.2925514E-04  7.7390907E-03  3.0992378E-02  1.0032124E-01  9.6725850E-04  3.1454271E-04  1.5732763E-04  4.2937739E-05  4.4647654E-03
  4.3654745E-05  1.5649864E-04  3.1284415E-04  1.0000000E-06  1.0660895E-03  6.1487093E-04  7.5005522E-03  3.0393573E-02  9.8474368E-02  9.5561569E-04  3.0882684E-04  1.5511320E-04  4.3435227E-05  4.4985116E-03
  4.4085488E-05  1.5429287E-04  3.0720334E-04  1.0000000E-06  1.0407086E-03  6.0100704E-04  7.2736998E-03  2.9814499E-02  9.6684834E-02  9.4432232E-04  3.0327210E-04  1.5293275E-04  4.3864748E-05  4.5324064E-03
  4.4455765E-05  1.5212403E-04  3.0172327E-04  1.0000000E-06  1.0162602E-03  5.8763882E-04  7.0577676E-03  2.9254225E-02  9.4950063E-02  9.3341912E-04  2.9787631E-04  1.5079058E-04  4.4234239E-05  4.5664514E-03
  0.0000000E+00  0.0000000E+00  1.6706251E-09  1.0000000E-06  6.9858914E-03  3.6246095E-03  1.3977425E-01  1.5310604E-01  4.4347871E-01  1.9864327E-03  1.6582245E-09  4.1000000E-09  0.0000000E+00  2.9782606E-03
  0.0000000E+00  0.0000000E+00  6.0430481E-04  1.0000000E-06  6.1804965E-03  3.2155044E-03  1.1652909E-01  1.3819400E-01  4.0504630E-01  1.9310756E-03  5.9982181E-04  4.0000000E-09  0.0000000E+00  3.0026569E-03
  0.0000000E+00  0.0000000E+00  6.2736654E-04  1.0000000E-06  5.5726753E-03  2.9141160E-03  1.0064729E-01  1.2665018E-01  3.7477924E-01  1.8918573E-03  6.2033805E-04  3.7000000E-09  0.0000000E+00  3.0276936E-03
  0.0000000E+00  0.0000000E+00  6.3768520E-04  1.0000000E-06  5.0689631E-03  2.6626869E-03  8.7738056E-02  1.1695297E-01  3.4902636E-01  1.8557450E-03  6.2921993E-04  5.0000000E-09  0.0000000E+00  3.0527995E-03
  0.0000000E+00  0.0000000E+00  6.3935561E-04  1.0000000E-06  4.6444930E-03  2.4499964E-03  7.7143523E-02  1.0868336E-01  3.2681119E-01  1.8179105E-03  6.3010605E-04  5.4000000E-09  0.0000000E+00  3.0779752E-03
  0.0000000E+00  0.0000000E+00  6.3512100E-04  1.0000000E-06  4.2817197E-03  2.2680679E-03  6.8361223E-02  1.0154047E-01  3.0742276E-01  1.7786419E-03  6.2550731E-04  5.0000000E-09  0.0000000E+00  3.1032210E-03
  0.0000000E+00  9.5174340E-11  6.2693964E-04  1.0000000E-06  3.9680037E-03  2.1115977E-03  6.1010013E-02  9.5302958E-02  2.9033135E-01  1.7389613E-03  6.1720446E-04  9.4968693E-11  0.0000000E+00  3.1285374E-03
  0.0000000E+00  7.8474720E-05  6.1446742E-04  1.0000000E-06  3.6844026E-03  1.9689382E-03  5.4258703E-02  8.9640140E-02  2.7468949E-01  1.6979783E-03  6.0479488E-04  7.8305156E-05  0.0000000E+00  3.1538947E-03
  0.0000000E+00  1.0067666E-04  6.0232303E-04  1.0000000E-06  3.4481181E-03  1.8497175E-03  4.8960271E-02  8.4852893E-02  2.6134621E-01  1.6611495E-03  5.9281308E-04  1.0003821E-04  0.0000000E+00  3.1792541E-03
  0.0000000E+00  1.1796330E-04  5.8900532E-04  1.0000000E-06  3.2364722E-03  1.7423248E-03  4.4392614E-02  8.0531481E-02  2.4921439E-01  1.6247190E-03  5.7970113E-04  1.1697905E-04  0.0000000E+00  3.2046894E-03
  0.0000000E+00  1.3134697E-04  5.7488048E-04  1.0000000E-06  3.0458133E-03  1.6450513E-03  4.0430999E-02  7.6610757E-02  2.3813327E-01  1.5888826E-03  5.6581398E-04  1.3010543E-04  0.0000000E+00  3.2302010E-03
  0.0000000E+00  1.4168448E-04  5.6050058E-04  1.0000000E-06  2.8734360E-03  1.5567044E-03  3.6975809E-02  7.3037519E-02  2.2796994E-01  1.5604002E-03  5.5169354E-04  1.4025613E-04  0.0000000E+00  3.2557895E-03
  0.0000000E+00  1.4954017E-04  5.4593549E-04  1.0000000E-06  2.7167641E-03  1.4760382E-03  3.3945812E-02  6.9767285E-02  2.1861292E-01  1.5321432E-03  5.3738971E-04  1.4797153E-04  0.0000000E+00  3.2814553E-03
  0.0000000E+00  1.5546975E-04  5.3151845E-04  1.0000000E-06  2.5739652E-03  1.4022263E-03  3.1276383E-02  6.6763172E-02  2.0996859E-01  1.5041979E-03  5.2324052E-04  1.5380347E-04  0.0000000E+00  3.3071992E-03
  0.0000000E+00  1.5978878E-04  5.1723851E-04  1.0000000E-06  2.4432164E-03  1.3343712E-03  2.8912647E-02  6.3993830E-02  2.0195720E-01  1.4766189E-03  5.0922590E-04  1.5804962E-04  0.0000000E+00  3.3330215E-03
  0.0000000E+00  1.6287471E-04  5.0330711E-04  1.0000000E-06  2.3232199E-03  1.2718934E-03  2.6811619E-02  6.1432886E-02  1.9451085E-01  1.4495798E-03  4.9554914E-04  1.6108897E-04  0.0000000E+00  3.3589229E-03
  0.0000000E+00  1.6489985E-04  4.8967821E-04  1.0000000E-06  2.2126679E-03  1.2141837E-03  2.4935249E-02  5.9057598E-02  1.8757094E-01  1.4230868E-03  4.8217317E-04  1.6308757E-04  0.0000000E+00  3.3849042E-03
  0.0000000E+00  1.6612616E-04  4.7647614E-04  1.0000000E-06  2.1106137E-03  1.1610516E-03  2.3254236E-02  5.6848596E-02  1.8108694E-01  1.3972375E-03  4.6921788E-04  1.6432245E-04  0.0000000E+00  3.4109654E-03
  0.0000000E+00  1.6674687E-04  4.6368951E-04  1.0000000E-06  2.0161215E-03  1.1117013E-03  2.1742316E-02  5.4789023E-02  1.7501483E-01  1.3722678E-03  4.5666403E-04  1.6495634E-04  0.0000000E+00  3.4371072E-03
  0.0000000E+00  1.6679866E-04  4.5128481E-04  1.0000000E-06  1.9283783E-03  1.0657312E-03  2.0376918E-02  5.2864222E-02  1.6931611E-01  1.3480949E-03  4.4448867E-04  1.6501517E-04  0.0000000E+00  3.4633306E-03
  0.0000000E+00  1.6643083E-04  4.3934670E-04  1.0000000E-06  1.8467895E-03  1.0228738E-03  1.9141269E-02  5.1061498E-02  1.6395712E-01  1.3245762E-03  4.3276697E-04  1.6465762E-04  0.0000000E+00  3.4896359E-03
  0.0000000E+00  1.6570068E-04  4.2783469E-04  1.0000000E-06  1.7711484E-03  9.8281507E-04  1.8019032E-02  4.9369629E-02  1.5890805E-01  1.3016876E-03  4.2147985E-04  1.6394234E-04  0.0000000E+00  3.5160237E-03
  0.0000000E+00  1.6464473E-04  4.1676963E-04  1.0000000E-06  1.7005137E-03  9.4527709E-04  1.6995957E-02  4.7778719E-02  1.5414253E-01  1.2794061E-03  4.1073131E-04  1.6290832E-04  0.0000000E+00  3.5424944E-03
  0.0000000E+00  1.6337748E-04  4.0625239E-04  1.0000000E-06  1.6344204E-03  9.1008402E-04  1.6062155E-02  4.6280098E-02  1.4963722E-01  1.2577638E-03  4.0039908E-04  1.6166405E-04  0.0000000E+00  3.5690491E-03
  0.0000000E+00  1.6191899E-04  3.9612218E-04  1.0000000E-06  1.5724490E-03  8.7701595E-04  1.5206997E-02  4.4865999E-02  1.4537121E-01  1.2368568E-03  3.9044473E-04  1.6022966E-04  0.0000000E+00  3.5956879E-03
  0.0000000E+00  1.6030717E-04  3.8636467E-04  1.0000000E-06  1.5142338E-03  8.4589402E-04  1.4421916E-02  4.3529524E-02  1.4132581E-01  1.2170975E-03  3.8085908E-04  1.5864698E-04  0.0000000E+00  3.6224119E-03
  3.0003597E-12  1.5857684E-04  3.7696722E-04  1.0000000E-06  1.4594728E-03  8.1656310E-04  1.3699464E-02  4.2264503E-02  1.3748427E-01  1.1979977E-03  3.7162651E-04  1.5694517E-04  2.9943298E-12  3.6492212E-03
  4.6251294E-06  1.5661911E-04  3.6766133E-04  1.0000000E-06  1.4059503E-03  7.8913472E-04  1.2996447E-02  4.1045459E-02  1.3376987E-01  1.1794675E-03  3.6247935E-04  1.5501757E-04  4.6158342E-06  3.6759349E-03
  7.9161520E-06  1.5475210E-04  3.5903029E-04  1.0000000E-06  1.3577562E-03  7.6357417E-04  1.2365024E-02  3.9916391E-02  1.3031901E-01  1.1615439E-03  3.5399776E-04  1.5318017E-04  7.8856251E-06  3.7024128E-03
  1.0871740E-05  1.5282015E-04  3.5068943E-04  1.0000000E-06  1.3120863E-03  7.3936153E-04  1.1780042E-02  3.8840289E-02  1.2702051E-01  1.1440429E-03  3.4579812E-04  1.5127867E-04  1.0820456E-05  3.7289952E-03
  1.3519955E-05  1.5083904E-04  3.4262477E-04  1.0000000E-06  1.2687600E-03  7.1634771E-04  1.1237108E-02  3.7813626E-02  1.2386470E-01  1.1269548E-03  3.3787043E-04  1.4932835E-04  1.3450888E-05  3.7556832E-03
  1.5883916E-05  1.4879729E-04  3.3480177E-04  1.0000000E-06  1.2275945E-03  6.9442970E-04  1.0731362E-02  3.6833159E-02  1.2084266E-01  1.1102571E-03  3.3018117E-04  1.4731808E-04  1.5802288E-05  3.7824779E-03
  1.8010812E-05  1.4675638E-04  3.2726447E-04  1.0000000E-06  1.1884860E-03  6.7357601E-04  1.0261164E-02  3.5895983E-02  1.1794630E-01  1.0939718E-03  3.2276926E-04  1.4530723E-04  1.7915484E-05  3.8093798E-03
  1.9917343E-05  1.4470390E-04  3.1997806E-04  1.0000000E-06  1.1512783E-03  6.5369836E-04  9.8225658E-03  3.4999366E-02  1.1516808E-01  1.0781138E-03  3.1560359E-04  1.4328347E-04  1.9810752E-05  3.8363904E-03
  2.1626039E-05  1.4264665E-04  3.1293410E-04  1.0000000E-06  1.1158488E-03  6.3473487E-04  9.4128118E-03  3.4140819E-02  1.1250106E-01  1.0629912E-03  3.0867647E-04  1.4125533E-04  2.1509174E-05  3.8635102E-03
  2.3155845E-05  1.4059106E-04  3.0612204E-04  1.0000000E-06  1.0820772E-03  6.1662886E-04  9.0294347E-03  3.3318046E-02  1.0993885E-01  1.0482172E-03  3.0197618E-04  1.3922928E-04  2.3031883E-05  3.8907406E-03
  2.4527755E-05  1.3854506E-04  2.9953467E-04  1.0000000E-06  1.0498644E-03  5.9933063E-04  8.6702221E-03  3.2528937E-02  1.0747553E-01  1.0338047E-03  2.9549345E-04  1.3720972E-04  2.4394351E-05  3.9180825E-03
  2.5738148E-05  1.3648677E-04  2.9313610E-04  1.0000000E-06  1.0190844E-03  5.8276862E-04  8.3321721E-03  3.1771512E-02  1.0510558E-01  1.0197320E-03  2.8919835E-04  1.3517925E-04  2.5600257E-05  3.9455372E-03
  2.6832076E-05  1.3446844E-04  2.8696858E-04  1.0000000E-06  9.8969864E-04  5.6693795E-04  8.0154251E-03  3.1044011E-02  1.0282396E-01  1.0060211E-03  2.8312869E-04  1.3318661E-04  2.6688070E-05  3.9731054E-03
  2.7807675E-05  1.3246994E-04  2.8099845E-04  1.0000000E-06  9.6160460E-04  5.5177828E-04  7.7174418E-03  3.0344739E-02  1.0062591E-01  9.9262180E-04  2.7725653E-04  1.3121574E-04  2.7660680E-05  4.0007883E-03
  2.8677503E-05  1.3049500E-04  2.7521916E-04  1.0000000E-06  9.3472306E-04  5.3725099E-04  7.4367613E-03  2.9672140E-02  9.8507037E-02  9.7952306E-04  2.7156855E-04  1.2926570E-04  2.8524708E-05  4.0285870E-03
  2.9449262E-05  1.2854632E-04  2.6962382E-04  1.0000000E-06  9.0898074E-04  5.2332011E-04  7.1720604E-03  2.9024773E-02  9.6463240E-02  9.6671842E-04  2.6606097E-04  1.2734176E-04  2.9294220E-05  4.0565027E-03
  3.0134829E-05  1.2662524E-04  2.6420532E-04  1.0000000E-06  8.8431669E-04  5.0995327E-04  6.9221392E-03  2.8401296E-02  9.4490693E-02  9.5420037E-04  2.6072789E-04  1.2544436E-04  2.9976441E-05  4.0845365E-03
  3.0739224E-05  1.2473110E-04  2.5895400E-04  1.0000000E-06  8.6066859E-04  4.9712010E-04  6.6859067E-03  2.7800456E-02  9.2585823E-02  9.4195984E-04  2.5555858E-04  1.2357503E-04  3.0578823E-05  4.1126894E-03
  3.1253173E-05  1.2284313E-04  2.5384158E-04  1.0000000E-06  8.3795648E-04  4.8477153E-04  6.4613291E-03  2.7221066E-02  9.0745272E-02  9.2997385E-04  2.5052448E-04  1.2171061E-04  3.1090829E-05  4.1409628E-03
  3.1718278E-05  1.2100896E-04  2.4890723E-04  1.0000000E-06  8.1617401E-04  4.7291833E-04  6.2495055E-03  2.6662085E-02  8.8965954E-02  9.1826527E-04  2.4566736E-04  1.1989823E-04  3.1554270E-05  4.1693576E-03
  3.2123472E-05  1.1920540E-04  2.4412305E-04  1.0000000E-06  7.9525055E-04  4.6156347E-04  6.0486438E-03  2.6122473E-02  8.7244926E-02  9.0681119E-04  2.4095637E-04  1.1811693E-04  3.1958760E-05  4.1978754E-03
  3.2474114E-05  1.1743423E-04  2.3948346E-04  1.0000000E-06  7.7513879E-04  4.5068232E-04  5.8579886E-03  2.5601276E-02  8.5579441E-02  8.9560470E-04  2.3638722E-04  1.1636643E-04  3.2308430E-05  4.2265170E-03
  3.2774811E-05  1.1569349E-04  2.3498089E-04  1.0000000E-06  7.5579990E-04  4.4020344E-04  5.6768480E-03  2.5097606E-02  8.3966919E-02  8.8463887E-04  2.3195455E-04  1.1464705E-04  3.2608696E-05  4.2552837E-03
  3.3030215E-05  1.1398548E-04  2.3061147E-04  1.0000000E-06  7.3719058E-04  4.3010639E-04  5.5045877E-03  2.4610625E-02  8.2404938E-02  8.7390676E-04  2.2765160E-04  1.1295892E-04  3.2863966E-05  4.2841770E-03
  0.0000000E+00  0.0000000E+00  1.4196881E-09  1.0000000E-06  5.5594862E-03  2.8454114E-03  1.2337831E-01  1.3664008E-01  4.1002599E-01  1.9427483E-03  1.4096659E-09  4.0000000E-09  0.0000000E+00  2.9250768E-03
  0.0000000E+00  0.0000000E+00  5.1352779E-04  1.0000000E-06  4.8828720E-03  2.5209246E-03  1.0178461E-01  1.2281565E-01  3.7281660E-01  1.8982355E-03  5.0990828E-04  5.1000000E-09  0.0000000E+00  2.9465106E-03
  0.0000000E+00  0.0000000E+00  5.2597032E-04  1.0000000E-06  4.3771610E-03  2.2757252E-03  8.7138629E-02  1.1217891E-01  3.4372593E-01  1.8538140E-03  5.2029772E-04  4.5000000E-09  0.0000000E+00  2.9677557E-03
  0.0000000E+00  0.0000000E+00  5.2926857E-04  1.0000000E-06  3.9606026E-03  2.0730918E-03  7.5364917E-02  1.0327515E-01  3.1907221E-01  1.8098213E-03  5.2246445E-04  4.8000000E-09  0.0000000E+00  2.9890591E-03
  0.0000000E+00  0.0000000E+00  5.2646492E-04  1.0000000E-06  3.6114624E-03  1.9022989E-03  6.5795708E-02  9.5706716E-02  2.9788244E-01  1.7658295E-03  5.1904843E-04  5.1000000E-09  0.0000000E+00  3.0104212E-03
  0.0000000E+00  0.0000000E+00  5.1957293E-04  1.0000000E-06  3.3145415E-03  1.7557762E-03  5.7931658E-02  8.9188888E-02  2.7945061E-01  1.7215868E-03  5.1186865E-04  6.1000000E-09  0.0000000E+00  3.0318422E-03
  0.0000000E+00  7.7477814E-11  5.1002998E-04  1.0000000E-06  3.0589333E-03  1.6286261E-03  5.1400119E-02  8.3512862E-02  2.6325251E-01  1.6793213E-03  5.0224830E-04  7.7312938E-11  0.0000000E+00  3.0533226E-03
  0.0000000E+00  6.3883287E-05  4.9741136E-04  1.0000000E-06  2.8288430E-03  1.5130400E-03  4.5457879E-02  7.8372728E-02  2.4846926E-01  1.6462878E-03  4.8969956E-04  6.3747341E-05  0.0000000E+00  3.0748334E-03
  0.0000000E+00  8.0650232E-05  4.8551712E-04  1.0000000E-06  2.6379029E-03  1.4167507E-03  4.0823280E-02  7.4038254E-02  2.3589423E-01  1.6147078E-03  4.7794288E-04  8.0144271E-05  0.0000000E+00  3.0963363E-03
  0.0000000E+00  9.3590417E-05  4.7296733E-04  1.0000000E-06  2.4675044E-03  1.3302819E-03  3.6850613E-02  7.0134174E-02  2.2448898E-01  1.5827671E-03  4.6556962E-04  9.2808546E-05  0.0000000E+00  3.1179029E-03
  0.0000000E+00  1.0349588E-04  4.5999180E-04  1.0000000E-06  2.3145101E-03  1.2523341E-03  3.3423309E-02  6.6599478E-02  2.1409572E-01  1.5507914E-03  4.5280135E-04  1.0251158E-04  0.0000000E+00  3.1395338E-03
  0.0000000E+00  1.1105039E-04  4.4703942E-04  1.0000000E-06  2.1768418E-03  1.1817452E-03  3.0449017E-02  6.3384423E-02  2.0458424E-01  1.5191845E-03  4.4006572E-04  1.0991874E-04  0.0000000E+00  3.1612293E-03
  0.0000000E+00  1.1675272E-04  4.3411124E-04  1.0000000E-06  2.0528141E-03  1.1175489E-03  2.7852871E-02  6.0447533E-02  1.9584567E-01  1.4880323E-03  4.2735296E-04  1.1553985E-04  0.0000000E+00  3.1829899E-03
  0.0000000E+00  1.2104727E-04  4.2146874E-04  1.0000000E-06  1.9400868E-03  1.0593537E-03  2.5575766E-02  5.7754477E-02  1.8778878E-01  1.4575590E-03  4.1493004E-04  1.1975943E-04  0.0000000E+00  3.2048159E-03
  0.0000000E+00  1.2410683E-04  4.0906549E-04  1.0000000E-06  1.8371320E-03  1.0059661E-03  2.3567724E-02  5.5276134E-02  1.8033601E-01  1.4280682E-03  4.0284225E-04  1.2276587E-04  0.0000000E+00  3.2267080E-03
  0.0000000E+00  1.2623398E-04  3.9729896E-04  1.0000000E-06  1.7428874E-03  9.5731603E-04  2.1789904E-02  5.2988042E-02  1.7342147E-01  1.3996283E-03  3.9132171E-04  1.2485861E-04  0.0000000E+00  3.2486667E-03
  0.0000000E+00  1.2755168E-04  3.8588413E-04  1.0000000E-06  1.6562591E-03  9.1271436E-04  2.0208000E-02  5.0869162E-02  1.6698844E-01  1.3719158E-03  3.8010847E-04  1.2615678E-04  0.0000000E+00  3.2706922E-03
  0.0000000E+00  1.2827212E-04  3.7488961E-04  1.0000000E-06  1.5764783E-03  8.7147712E-04  1.8795829E-02  4.8901589E-02  1.6098807E-01  1.3450070E-03  3.6930892E-04  1.2687125E-04  0.0000000E+00  3.2927853E-03
  0.0000000E+00  1.2849029E-04  3.6428334E-04  1.0000000E-06  1.5027743E-03  8.3323801E-04  1.7529946E-02  4.7069773E-02  1.5537791E-01  1.3194590E-03  3.5889158E-04  1.2708505E-04  0.0000000E+00  3.3149460E-03
  0.0000000E+00  1.2827060E-04  3.5403762E-04  1.0000000E-06  1.4344790E-03  7.9766624E-04  1.6390275E-02  4.5360217E-02  1.5012088E-01  1.2950180E-03  3.4882381E-04  1.2687141E-04  0.0000000E+00  3.3371752E-03
  0.0000000E+00  1.2774919E-04  3.4420902E-04  1.0000000E-06  1.3711071E-03  7.6455280E-04  1.5362077E-02  4.3761246E-02  1.4518462E-01  1.2712831E-03  3.3917204E-04  1.2635993E-04  0.0000000E+00  3.3594734E-03
  0.0000000E+00  1.2696432E-04  3.3476586E-04  1.0000000E-06  1.3121496E-03  7.3365032E-04  1.4430928E-02  4.2262551E-02  1.4054054E-01  1.2483592E-03  3.2988765E-04  1.2558959E-04  0.0000000E+00  3.3818408E-03
  0.0000000E+00  1.2594234E-04  3.2566205E-04  1.0000000E-06  1.2571500E-03  7.0472479E-04  1.3584282E-02  4.0855052E-02  1.3616339E-01  1.2261361E-03  3.2094060E-04  1.2458540E-04  0.0000000E+00  3.4042780E-03
  0.0000000E+00  1.2477354E-04  3.1694343E-04  1.0000000E-06  1.2058047E-03  6.7764809E-04  1.2813596E-02  3.9530825E-02  1.3203080E-01  1.2050145E-03  3.1237426E-04  1.2343676E-04  0.0000000E+00  3.4267856E-03
  0.0000000E+00  1.2347408E-04  3.0857239E-04  1.0000000E-06  1.1577562E-03  6.5223889E-04  1.2109573E-02  3.8282756E-02  1.2812283E-01  1.1847373E-03  3.0414748E-04  1.2215934E-04  0.0000000E+00  3.4493642E-03
  0.0000000E+00  1.2207083E-04  3.0053572E-04  1.0000000E-06  1.1127123E-03  6.2835812E-04  1.1464774E-02  3.7104543E-02  1.2442166E-01  1.1650588E-03  2.9624684E-04  1.2077655E-04  0.0000000E+00  3.4720142E-03
  2.0229625E-10  1.2056182E-04  2.9279020E-04  1.0000000E-06  1.0703945E-03  6.0585796E-04  1.0871902E-02  3.5990536E-02  1.2091128E-01  1.1459135E-03  2.8863213E-04  1.1929180E-04  2.0229165E-10  3.4947360E-03
  3.5399247E-06  1.1893475E-04  2.8519293E-04  1.0000000E-06  1.0290385E-03  5.8467285E-04  1.0298429E-02  3.4918209E-02  1.1752109E-01  1.1273655E-03  2.8116187E-04  1.1768891E-04  3.5328403E-06  3.5173559E-03
  6.0042865E-06  1.1736849E-04  2.7813720E-04  1.0000000E-06  9.9196899E-04  5.6487742E-04  9.7839781E-03  3.3926091E-02  1.1437528E-01  1.1094658E-03  2.7422688E-04  1.1614816E-04  5.9802793E-06  3.5397384E-03
  8.2070236E-06  1.1576189E-04  2.7133252E-04  1.0000000E-06  9.5690451E-04  5.4610915E-04  9.3082812E-03  3.2981474E-02  1.1137174E-01  1.0920121E-03  2.6753554E-04  1.1456571E-04  8.1686065E-06  3.5622088E-03
  1.0177594E-05  1.1412708E-04  2.6477040E-04  1.0000000E-06  9.2369880E-04  5.2829598E-04  8.8675951E-03  3.2081151E-02  1.0850127E-01  1.0749965E-03  2.6108401E-04  1.1295589E-04  1.0125328E-05  3.5847675E-03
  1.1932649E-05  1.1245147E-04  2.5841658E-04  1.0000000E-06  8.9219956E-04  5.1135484E-04  8.4577022E-03  3.1222166E-02  1.0575543E-01  1.0583930E-03  2.5483452E-04  1.1130408E-04  1.1868812E-05  3.6074157E-03
  1.3506801E-05  1.1078766E-04  2.5230929E-04  1.0000000E-06  8.6232921E-04  4.9526207E-04  8.0773680E-03  3.0401888E-02  1.0312654E-01  1.0422198E-03  2.4882784E-04  1.0966570E-04  1.3433107E-05  3.6301540E-03
  1.4914321E-05  1.0912128E-04  2.4641467E-04  1.0000000E-06  8.3395637E-04  4.7994544E-04  7.7231750E-03  2.9617832E-02  1.0060746E-01  1.0264504E-03  2.4303011E-04  1.0802276E-04  1.4832194E-05  3.6529834E-03
  1.6174620E-05  1.0745980E-04  2.4072959E-04  1.0000000E-06  8.0698224E-04  4.6539356E-04  7.3927962E-03  2.8867749E-02  9.8191632E-02  1.0110748E-03  2.3743496E-04  1.0638370E-04  1.6084622E-05  3.6759046E-03
  1.7299539E-05  1.0580475E-04  2.3523965E-04  1.0000000E-06  7.8131200E-04  4.5161593E-04  7.0841536E-03  2.8149497E-02  9.5872840E-02  9.9608149E-04  2.3203446E-04  1.0475260E-04  1.7203122E-05  3.6989184E-03
  1.8305070E-05  1.0416395E-04  2.2994055E-04  1.0000000E-06  7.5686726E-04  4.3846875E-04  6.7953860E-03  2.7461288E-02  9.3645853E-02  9.8146024E-04  2.2682059E-04  1.0313285E-04  1.8202720E-05  3.7220258E-03
  1.9186825E-05  1.0251423E-04  2.2479803E-04  1.0000000E-06  7.3354357E-04  4.2589402E-04  6.5238813E-03  2.6801328E-02  9.1505471E-02  9.6718384E-04  2.2175992E-04  1.0150586E-04  1.9080179E-05  3.7452278E-03
  1.9984972E-05  1.0090598E-04  2.1985207E-04  1.0000000E-06  7.1131405E-04  4.1388985E-04  6.2699408E-03  2.6167916E-02  8.9446595E-02  9.5327007E-04  2.1689234E-04  9.9917738E-05  1.9873338E-05  3.7685249E-03
  2.0693183E-05  9.9317252E-05  2.1507229E-04  1.0000000E-06  6.9009138E-04  4.0240775E-04  6.0313533E-03  2.5559576E-02  8.7464930E-02  9.3969531E-04  2.1218831E-04  9.8349774E-05  2.0579029E-05  3.7919182E-03
  2.1322444E-05  9.7750720E-05  2.1045193E-04  1.0000000E-06  6.6981366E-04  3.9141609E-04  5.8069005E-03  2.4974910E-02  8.5556340E-02  9.2644835E-04  2.0764173E-04  9.6804671E-05  2.1205591E-05  3.8154087E-03
  2.1879668E-05  9.6209485E-05  2.0598532E-04  1.0000000E-06  6.5042664E-04  3.8088765E-04  5.5954815E-03  2.4412621E-02  8.3716977E-02  9.1351958E-04  2.0324432E-04  9.5281972E-05  2.1760129E-05  3.8389972E-03
  2.2371953E-05  9.4691833E-05  2.0166552E-04  1.0000000E-06  6.3187855E-04  3.7079694E-04  5.3960989E-03  2.3871497E-02  8.1943256E-02  9.0089853E-04  1.9899103E-04  9.3783905E-05  2.2249686E-05  3.8626849E-03
  2.2803923E-05  9.3200108E-05  1.9748416E-04  1.0000000E-06  6.1411871E-04  3.6111850E-04  5.2078483E-03  2.3350417E-02  8.0231828E-02  8.8857656E-04  1.9487584E-04  9.2311595E-05  2.2680707E-05  3.8864723E-03
  2.3164961E-05  9.1712467E-05  1.9341555E-04  1.0000000E-06  5.9707993E-04  3.5181137E-04  5.0289386E-03  2.2848310E-02  7.8579549E-02  8.7652879E-04  1.9086928E-04  9.0842393E-05  2.3040353E-05  3.9103608E-03
  2.3493614E-05  9.0271842E-05  1.8949756E-04  1.0000000E-06  5.8076649E-04  3.4289112E-04  4.8604876E-03  2.2364246E-02  7.6983537E-02  8.6477520E-04  1.8701095E-04  8.9420060E-05  2.3367304E-05  3.9343511E-03
  2.3777016E-05  8.8859024E-05  1.8570204E-04  1.0000000E-06  5.6511742E-04  3.3431886E-04  4.7009143E-03  2.1897289E-02  7.5441040E-02  8.5329282E-04  1.8327418E-04  8.8024190E-05  2.3650802E-05  3.9584445E-03
  2.4021226E-05  8.7473350E-05  1.8202644E-04  1.0000000E-06  5.5009627E-04  3.2607824E-04  4.5495961E-03  2.1446588E-02  7.3949495E-02  8.4208163E-04  1.7965355E-04  8.6655031E-05  2.3893870E-05  3.9826417E-03
  2.4228404E-05  8.6114417E-05  1.7846376E-04  1.0000000E-06  5.3567050E-04  3.1815107E-04  4.4059643E-03  2.1011344E-02  7.2506495E-02  8.3128986E-04  1.7614478E-04  8.5312333E-05  2.4100939E-05  4.0069440E-03
  2.4401940E-05  8.4782335E-05  1.7500982E-04  1.0000000E-06  5.2180790E-04  3.1052197E-04  4.2694977E-03  2.0590810E-02  7.1109782E-02  8.2077137E-04  1.7274354E-04  8.3996552E-05  2.4274793E-05  4.0313522E-03
  0.0000000E+00  0.0000000E+00  1.1987096E-09  1.0000000E-06  4.3403953E-03  2.2324805E-03  1.0865121E-01  1.2123755E-01  3.7688990E-01  1.9496874E-03  1.1906293E-09  4.3000000E-09  0.0000000E+00  2.8667138E-03
  0.0000000E+00  0.0000000E+00  4.3360225E-04  1.0000000E-06  3.7838165E-03  1.9601712E-03  8.8512303E-02  1.0854441E-01  3.4126472E-01  1.8891750E-03  4.3068117E-04  4.7000000E-09  0.0000000E+00  2.8841633E-03
  0.0000000E+00  0.0000000E+00  4.3801663E-04  1.0000000E-06  3.3717461E-03  1.7622573E-03  7.5084777E-02  9.8810622E-02  3.1349532E-01  1.8340815E-03  4.3346453E-04  5.1000000E-09  0.0000000E+00  2.9020655E-03
  0.0000000E+00  0.0000000E+00  4.3624489E-04  1.0000000E-06  3.0342294E-03  1.5982482E-03  6.4408703E-02  9.0691186E-02  2.9005660E-01  1.7840218E-03  4.3078757E-04  5.2000000E-09  0.0000000E+00  2.9200163E-03
  0.0000000E+00  0.0000000E+00  4.3038870E-04  1.0000000E-06  2.7527874E-03  1.4600152E-03  5.5816480E-02  8.3811586E-02  2.6998542E-01  1.7480018E-03  4.2445814E-04  5.3000000E-09  0.0000000E+00  2.9380162E-03
  0.0000000E+00  0.0000000E+00  4.2188654E-04  1.0000000E-06  2.5152715E-03  1.3418529E-03  4.8817439E-02  7.7904454E-02  2.5258555E-01  1.7107778E-03  4.1574847E-04  4.2000000E-09  0.0000000E+00  2.9560654E-03
  0.0000000E+00  6.2557184E-11  4.1176138E-04  1.0000000E-06  2.3126666E-03  1.2396762E-03  4.3050654E-02  7.2774314E-02  2.3734195E-01  1.6724650E-03  4.0557188E-04  6.2429233E-11  0.0000000E+00  2.9741639E-03
  0.0000000E+00  5.1580682E-05  3.9952141E-04  1.0000000E-06  2.1309537E-03  1.1475297E-03  3.7854033E-02  6.8140121E-02  2.2346879E-01  1.6323969E-03  3.9340409E-04  5.1475181E-05  0.0000000E+00  2.9922838E-03
  0.0000000E+00  6.4074036E-05  3.8826213E-04  1.0000000E-06  1.9806773E-03  1.0721619E-03  3.3826835E-02  6.4242016E-02  2.1170158E-01  1.5949758E-03  3.8226705E-04  6.3673893E-05  0.0000000E+00  3.0103872E-03
  0.0000000E+00  7.3640813E-05  3.7672425E-04  1.0000000E-06  1.8469921E-03  1.0050906E-03  3.0395132E-02  6.0738662E-02  2.0105535E-01  1.5579810E-03  3.7088058E-04  7.3035655E-05  0.0000000E+00  3.0285439E-03
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  0.0000000E+00  8.6602431E-05  3.5419965E-04  1.0000000E-06  1.6198044E-03  8.8987936E-04  2.4908784E-02  5.4699929E-02  1.8253812E-01  1.4872939E-03  3.4881886E-04  8.5729091E-05  0.0000000E+00  3.0650184E-03
  0.0000000E+00  9.0714755E-05  3.4321373E-04  1.0000000E-06  1.5226537E-03  8.4011897E-04  2.2700652E-02  5.2080027E-02  1.7443510E-01  1.4537405E-03  3.3801176E-04  8.9759470E-05  0.0000000E+00  3.0833370E-03
  0.0000000E+00  9.3714212E-05  3.3256413E-04  1.0000000E-06  1.4346186E-03  7.9478471E-04  2.0772654E-02  4.9681922E-02  1.6697907E-01  1.4223266E-03  3.2753921E-04  9.2701035E-05  0.0000000E+00  3.1017100E-03
  0.0000000E+00  9.5778432E-05  3.2218748E-04  1.0000000E-06  1.3544423E-03  7.5326672E-04  1.9079715E-02  4.7478768E-02  1.6009524E-01  1.3917194E-03  3.1733582E-04  9.4724969E-05  0.0000000E+00  3.1201383E-03
  0.0000000E+00  9.7145754E-05  3.1220636E-04  1.0000000E-06  1.2812593E-03  7.1518837E-04  1.7586911E-02  4.5448061E-02  1.5372016E-01  1.3623462E-03  3.0752567E-04  9.6070315E-05  0.0000000E+00  3.1386218E-03
  0.0000000E+00  9.7909461E-05  3.0255953E-04  1.0000000E-06  1.2141648E-03  6.8011350E-04  1.6263647E-02  4.3570462E-02  1.4779935E-01  1.3344304E-03  2.9804054E-04  9.6817041E-05  0.0000000E+00  3.1571615E-03
  0.0000000E+00  9.8233054E-05  2.9331886E-04  1.0000000E-06  1.1525394E-03  6.4787818E-04  1.5086623E-02  4.1829556E-02  1.4228599E-01  1.3077319E-03  2.8895664E-04  9.7136645E-05  0.0000000E+00  3.1757571E-03
  0.0000000E+00  9.8189669E-05  2.8445312E-04  1.0000000E-06  1.0957560E-03  6.1821880E-04  1.4035123E-02  4.0211108E-02  1.3713943E-01  1.2818905E-03  2.8024253E-04  9.7092291E-05  0.0000000E+00  3.1944096E-03
  0.0000000E+00  9.7820634E-05  2.7592063E-04  1.0000000E-06  1.0432597E-03  5.9067011E-04  1.3091483E-02  3.8702772E-02  1.3232429E-01  1.2568123E-03  2.7185596E-04  9.6730307E-05  0.0000000E+00  3.2131188E-03
  0.0000000E+00  9.7240206E-05  2.6777335E-04  1.0000000E-06  9.9484924E-04  5.6507142E-04  1.2242773E-02  3.7293900E-02  1.2780969E-01  1.2325255E-03  2.6384861E-04  9.6158877E-05  0.0000000E+00  3.2318856E-03
  0.0000000E+00  9.6473684E-05  2.5997642E-04  1.0000000E-06  9.4994958E-04  5.4121624E-04  1.1476407E-02  3.5975091E-02  1.2356842E-01  1.2089968E-03  2.5618186E-04  9.5404358E-05  0.0000000E+00  3.2507103E-03
  0.0000000E+00  9.5532504E-05  2.5248438E-04  1.0000000E-06  9.0814857E-04  5.1892465E-04  1.0781480E-02  3.4738083E-02  1.1957647E-01  1.1861911E-03  2.4881713E-04  9.4479167E-05  0.0000000E+00  3.2695931E-03
  0.0000000E+00  9.4497801E-05  2.4533340E-04  1.0000000E-06  8.6919966E-04  4.9808950E-04  1.0150594E-02  3.3575666E-02  1.1581264E-01  1.1641198E-03  2.4178703E-04  9.3460395E-05  0.0000000E+00  3.2885347E-03
  0.0000000E+00  9.3371697E-05  2.3848837E-04  1.0000000E-06  8.3281977E-04  4.7857602E-04  9.5757216E-03  3.2481390E-02  1.1225802E-01  1.1427431E-03  2.3505766E-04  9.2352479E-05  0.0000000E+00  3.3075352E-03
  0.0000000E+00  9.2179472E-05  2.3193619E-04  1.0000000E-06  7.9878129E-04  4.6046113E-04  9.0504676E-03  3.1449535E-02  1.0889574E-01  1.1220383E-03  2.2861301E-04  9.1175890E-05  0.0000000E+00  3.3265955E-03
  2.0174738E-10  9.0911317E-05  2.2563625E-04  1.0000000E-06  7.6685487E-04  4.4340845E-04  8.5685635E-03  3.0474989E-02  1.0571070E-01  1.1020725E-03  2.2241800E-04  8.9928441E-05  2.0174361E-10  3.3457158E-03
  2.6938304E-06  8.9564517E-05  2.1947656E-04  1.0000000E-06  7.3559781E-04  4.2743182E-04  8.1039716E-03  2.9537901E-02  1.0263828E-01  1.0827703E-03  2.1636014E-04  8.8600737E-05  2.6880239E-06  3.3647293E-03
  4.5214894E-06  8.8273955E-05  2.1376728E-04  1.0000000E-06  7.0774516E-04  4.1246909E-04  7.6882305E-03  2.8671849E-02  9.9790812E-02  1.0642342E-03  2.1074488E-04  8.7330437E-05  4.5014960E-06  3.3835053E-03
  6.1516866E-06  8.6960280E-05  2.0827319E-04  1.0000000E-06  6.8144581E-04  3.9829813E-04  7.3045475E-03  2.7848096E-02  9.7075168E-02  1.0462080E-03  2.0534208E-04  8.6037321E-05  6.1206864E-06  3.4023543E-03
  7.6053784E-06  8.5632290E-05  2.0298615E-04  1.0000000E-06  6.5658165E-04  3.8486225E-04  6.9497566E-03  2.7063742E-02  9.4482681E-02  1.0286786E-03  2.0014230E-04  8.4728940E-05  7.5650834E-06  3.4212768E-03
  8.8971139E-06  8.4276504E-05  1.9787528E-04  1.0000000E-06  6.3303039E-04  3.7209565E-04  6.6202796E-03  2.6316124E-02  9.2005401E-02  1.0116177E-03  1.9511439E-04  8.3392764E-05  8.8478730E-06  3.4402739E-03
  1.0054694E-05  8.2938742E-05  1.9297437E-04  1.0000000E-06  6.1073643E-04  3.5998348E-04  6.3151293E-03  2.5602866E-02  8.9636105E-02  9.9503314E-04  1.9029284E-04  8.2074352E-05  9.9975515E-06  3.4593458E-03
  1.1086898E-05  8.1604916E-05  1.8825463E-04  1.0000000E-06  5.8960501E-04  3.4846639E-04  6.0314134E-03  2.4921735E-02  8.7368090E-02  9.7889810E-04  1.8564923E-04  8.0758910E-05  1.1022839E-05  3.4784934E-03
  1.2008707E-05  8.0278754E-05  1.8370840E-04  1.0000000E-06  5.6965245E-04  3.3750834E-04  5.7671849E-03  2.4270702E-02  8.5195212E-02  9.6319940E-04  1.8117565E-04  7.9451397E-05  1.1939417E-05  3.4977175E-03
  1.2829022E-05  7.8964234E-05  1.7932684E-04  1.0000000E-06  5.5069454E-04  3.2707023E-04  5.5207085E-03  2.3647899E-02  8.3111808E-02  9.4802596E-04  1.7686561E-04  7.8155556E-05  1.2755225E-05  3.5170187E-03
  1.3560890E-05  7.7664088E-05  1.7510559E-04  1.0000000E-06  5.3267699E-04  3.1712176E-04  5.2904350E-03  2.3051612E-02  8.1112650E-02  9.3341812E-04  1.7270980E-04  7.6873074E-05  1.3482338E-05  3.5363976E-03
  1.4198927E-05  7.6359265E-05  1.7101399E-04  1.0000000E-06  5.1575068E-04  3.0768831E-04  5.0741545E-03  2.2480234E-02  7.9192880E-02  9.1917162E-04  1.6868276E-04  7.5585348E-05  1.4117093E-05  3.5558551E-03
  1.4776556E-05  7.5093062E-05  1.6708474E-04  1.0000000E-06  4.9966295E-04  2.9872447E-04  4.8721928E-03  2.1932344E-02  7.7348064E-02  9.0530076E-04  1.6481660E-04  7.4335014E-05  1.4690643E-05  3.5753917E-03
  1.5286993E-05  7.3843617E-05  1.6329521E-04  1.0000000E-06  4.8439129E-04  2.9043458E-04  4.6826820E-03  2.1406570E-02  7.5574035E-02  8.9178163E-04  1.6108544E-04  7.3103630E-05  1.5199065E-05  3.5950085E-03
  1.5738805E-05  7.2616182E-05  1.5963575E-04  1.0000000E-06  4.7004421E-04  2.8257614E-04  4.5046156E-03  2.0901660E-02  7.3866932E-02  8.7860109E-04  1.5748423E-04  7.1891589E-05  1.5648958E-05  3.6147061E-03
  1.6137139E-05  7.1409535E-05  1.5610369E-04  1.0000000E-06  4.5633276E-04  2.7505017E-04  4.3370856E-03  2.0416453E-02  7.2223177E-02  8.6574899E-04  1.5400631E-04  7.0701287E-05  1.6045625E-05  3.6344851E-03
  1.6488052E-05  7.0226244E-05  1.5269191E-04  1.0000000E-06  4.4321915E-04  2.6784785E-04  4.1792716E-03  1.9949871E-02  7.0639433E-02  8.5321523E-04  1.5064742E-04  6.9531794E-05  1.6394197E-05  3.6543464E-03
  1.6794316E-05  6.9063485E-05  1.4939378E-04  1.0000000E-06  4.3092295E-04  2.6105260E-04  4.0304303E-03  1.9500909E-02  6.9112589E-02  8.4098965E-04  1.4740112E-04  6.8384783E-05  1.6700003E-05  3.6742911E-03
  1.7046036E-05  6.7904518E-05  1.4618724E-04  1.0000000E-06  4.1918805E-04  2.5453378E-04  3.8890418E-03  1.9068618E-02  6.7639727E-02  8.2904809E-04  1.4424372E-04  6.7240282E-05  1.6950855E-05  3.6943195E-03
  1.7275531E-05  6.6786448E-05  1.4310463E-04  1.0000000E-06  4.0816732E-04  2.4838436E-04  3.7561218E-03  1.8652161E-02  6.6218172E-02  8.1740580E-04  1.4120803E-04  6.6136061E-05  1.7180068E-05  3.7144326E-03
  1.7473262E-05  6.5691301E-05  1.4012295E-04  1.0000000E-06  3.9766604E-04  2.4258544E-04  3.6303284E-03  1.8250712E-02  6.4845373E-02  8.0604212E-04  1.3827159E-04  6.5054835E-05  1.7376925E-05  3.7346314E-03
  1.7640963E-05  6.4618489E-05  1.3723751E-04  1.0000000E-06  3.8758011E-04  2.3704495E-04  3.5111536E-03  1.7863510E-02  6.3518956E-02  7.9494826E-04  1.3542988E-04  6.3995533E-05  1.7544339E-05  3.7549164E-03
  1.7781791E-05  6.3568798E-05  1.3444412E-04  1.0000000E-06  3.7788717E-04  2.3171028E-04  3.3981336E-03  1.7489847E-02  6.2236697E-02  7.8411499E-04  1.3267885E-04  6.2958763E-05  1.7685306E-05  3.7752889E-03
  1.7898890E-05  6.2541334E-05  1.3173980E-04  1.0000000E-06  3.6856746E-04  2.2657184E-04  3.2908445E-03  1.7129059E-02  6.0996509E-02  7.7353357E-04  1.3001495E-04  6.1943315E-05  1.7801921E-05  3.7957495E-03
  0.0000000E+00  0.0000000E+00  1.0043262E-09  1.0000000E-06  3.3213231E-03  1.7414076E-03  9.5137223E-02  1.0694530E-01  3.4436445E-01  1.9716562E-03  9.9786267E-10  4.4000000E-09  0.0000000E+00  2.8012009E-03
  0.0000000E+00  0.0000000E+00  3.6327188E-04  1.0000000E-06  2.8767599E-03  1.5203485E-03  7.6604971E-02  9.5360446E-02  3.1041680E-01  1.9127734E-03  3.6093493E-04  4.4000000E-09  0.0000000E+00  2.8160657E-03
  0.0000000E+00  0.0000000E+00  3.6185019E-04  1.0000000E-06  2.5492994E-03  1.3576996E-03  6.4342447E-02  8.6519467E-02  2.8413791E-01  1.8636588E-03  3.5821676E-04  5.1000000E-09  0.0000000E+00  2.8310770E-03
  0.0000000E+00  0.0000000E+00  3.5657360E-04  1.0000000E-06  2.2841310E-03  1.2270367E-03  5.4711760E-02  7.9169927E-02  2.6204262E-01  1.8164967E-03  3.5223805E-04  4.8000000E-09  0.0000000E+00  2.8461288E-03
  0.0000000E+00  0.0000000E+00  3.4883343E-04  1.0000000E-06  2.0639857E-03  1.1173972E-03  4.7043769E-02  7.2962124E-02  2.4318854E-01  1.7679579E-03  3.4413107E-04  4.3000000E-09  0.0000000E+00  2.8612210E-03
  0.0000000E+00  0.0000000E+00  3.3956523E-04  1.0000000E-06  1.8782977E-03  1.0248646E-03  4.0856772E-02  6.7647224E-02  2.2689681E-01  1.7193851E-03  3.3470300E-04  6.0000000E-09  0.0000000E+00  2.8763544E-03
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  0.0000000E+00  4.1250235E-05  3.1836225E-04  1.0000000E-06  1.5778938E-03  8.7276027E-04  3.1292329E-02  5.8895477E-02  1.9975115E-01  1.6246734E-03  3.1364537E-04  4.1165872E-05  0.0000000E+00  2.9067165E-03
  0.0000000E+00  5.0495918E-05  3.0845093E-04  1.0000000E-06  1.4610521E-03  8.1286348E-04  2.7820586E-02  5.5414646E-02  1.8882639E-01  1.5835077E-03  3.0383240E-04  5.0187090E-05  0.0000000E+00  2.9218811E-03
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  0.0000000E+00  6.9842335E-05  2.6942488E-04  1.0000000E-06  1.1075248E-03  6.2846521E-04  1.8356316E-02  4.4607344E-02  1.5441578E-01  1.4344336E-03  2.6535877E-04  6.9095600E-05  0.0000000E+00  2.9829842E-03
  0.0000000E+00  7.1891164E-05  2.6035222E-04  1.0000000E-06  1.0400991E-03  5.9272822E-04  1.6738297E-02  4.2486682E-02  1.4756809E-01  1.4011484E-03  2.5642712E-04  7.1099662E-05  0.0000000E+00  2.9983724E-03
  0.0000000E+00  7.3237586E-05  2.5157793E-04  1.0000000E-06  9.7885543E-04  5.6008872E-04  1.5323702E-02  4.0541691E-02  1.4125770E-01  1.3689170E-03  2.4779639E-04  7.2418859E-05  0.0000000E+00  3.0138065E-03
  0.0000000E+00  7.4075223E-05  2.4320416E-04  1.0000000E-06  9.2310569E-04  5.3024183E-04  1.4081509E-02  3.8751822E-02  1.3542412E-01  1.3377981E-03  2.3955509E-04  7.3235377E-05  0.0000000E+00  3.0292865E-03
  0.0000000E+00  7.4463208E-05  2.3515015E-04  1.0000000E-06  8.7212526E-04  5.0281589E-04  1.2984600E-02  3.7099461E-02  1.3001549E-01  1.3077431E-03  2.3163697E-04  7.3614809E-05  0.0000000E+00  3.0448128E-03
  0.0000000E+00  7.4536164E-05  2.2748279E-04  1.0000000E-06  8.2542192E-04  4.7788667E-04  1.2012530E-02  3.5569669E-02  1.2498733E-01  1.2787684E-03  2.2409648E-04  7.3682843E-05  0.0000000E+00  3.0603859E-03
  0.0000000E+00  7.4341502E-05  2.2016161E-04  1.0000000E-06  7.8249089E-04  4.5488558E-04  1.1147131E-02  3.4149513E-02  1.2030111E-01  1.2508304E-03  2.1689433E-04  7.3490453E-05  0.0000000E+00  3.0760058E-03
  0.0000000E+00  7.3912354E-05  2.1314334E-04  1.0000000E-06  7.4291637E-04  4.3357108E-04  1.0372968E-02  3.2827802E-02  1.1592334E-01  1.2238780E-03  2.0999328E-04  7.3065535E-05  0.0000000E+00  3.0916731E-03
  0.0000000E+00  7.3334532E-05  2.0647299E-04  1.0000000E-06  7.0719667E-04  4.1381730E-04  9.6788970E-03  3.1594887E-02  1.1182484E-01  1.1979093E-03  2.0343247E-04  7.2497618E-05  0.0000000E+00  3.1073879E-03
  0.0000000E+00  7.2628137E-05  2.0010787E-04  1.0000000E-06  6.7427188E-04  3.9549936E-04  9.0540094E-03  3.0442269E-02  1.0797995E-01  1.1728735E-03  1.9717542E-04  7.1802177E-05  0.0000000E+00  3.1231508E-03
  0.0000000E+00  7.1797588E-05  1.9401218E-04  1.0000000E-06  6.4411063E-04  3.7858241E-04  8.4888720E-03  2.9362487E-02  1.0436605E-01  1.1487176E-03  1.9118049E-04  7.0983478E-05  0.0000000E+00  3.1389619E-03
  0.0000000E+00  7.0907988E-05  1.8821641E-04  1.0000000E-06  6.1614002E-04  3.6328727E-04  7.9772327E-03  2.8349034E-02  1.0096319E-01  1.1254319E-03  1.8548034E-04  7.0107235E-05  0.0000000E+00  3.1548218E-03
  0.0000000E+00  6.9958158E-05  1.8268219E-04  1.0000000E-06  5.9003526E-04  3.4916414E-04  7.5121930E-03  2.7396101E-02  9.7753606E-02  1.1029652E-03  1.8003884E-04  6.9171366E-05  0.0000000E+00  3.1707306E-03
  0.0000000E+00  6.8964913E-05  1.7740150E-04  1.0000000E-06  5.6562097E-04  3.3596775E-04  7.0883088E-03  2.6498544E-02  9.4721497E-02  1.0815140E-03  1.7484138E-04  6.8192924E-05  0.0000000E+00  3.1866889E-03
  2.0131860E-10  6.7919878E-05  1.7233277E-04  1.0000000E-06  5.4293952E-04  3.2384775E-04  6.7002066E-03  2.5651766E-02  9.1852704E-02  1.0609768E-03  1.6985740E-04  6.7164137E-05  2.0131579E-10  3.2026969E-03
  2.0328549E-06  6.6825159E-05  1.6739414E-04  1.0000000E-06  5.2143658E-04  3.1273106E-04  6.3273085E-03  2.4838398E-02  8.9088525E-02  1.0410917E-03  1.6499890E-04  6.6085069E-05  2.0285267E-06  3.2185951E-03
  3.3763286E-06  6.5780043E-05  1.6282389E-04  1.0000000E-06  5.0268784E-04  3.0248477E-04  5.9944377E-03  2.4087497E-02  8.6529840E-02  1.0220713E-03  1.6050431E-04  6.5056240E-05  3.3622918E-06  3.2342568E-03
  4.5726452E-06  6.4722343E-05  1.5843730E-04  1.0000000E-06  4.8503647E-04  2.9282376E-04  5.6878214E-03  2.3373990E-02  8.4092313E-02  1.0036170E-03  1.5618857E-04  6.4015246E-05  4.5493316E-06  3.2499789E-03
  5.6382383E-06  6.3662095E-05  1.5422368E-04  1.0000000E-06  4.6832768E-04  2.8364996E-04  5.4048144E-03  2.2695276E-02  8.1767855E-02  9.8570717E-04  1.5204435E-04  6.2968453E-05  5.6073702E-06  3.2657620E-03
  6.5816821E-06  6.2579580E-05  1.5015705E-04  1.0000000E-06  4.5247827E-04  2.7491879E-04  5.1423604E-03  2.2048971E-02  7.9549045E-02  9.6831021E-04  1.4804326E-04  6.1903353E-05  6.5436269E-06  3.2816065E-03
  7.4250893E-06  6.1519170E-05  1.4626649E-04  1.0000000E-06  4.3745689E-04  2.6662406E-04  4.8997722E-03  2.1432949E-02  7.7429150E-02  9.5143173E-04  1.4421502E-04  6.0857595E-05  7.3815379E-06  3.2975129E-03
  8.1763078E-06  6.0467084E-05  1.4252738E-04  1.0000000E-06  4.2319338E-04  2.5885065E-04  4.6745847E-03  2.0845215E-02  7.5401932E-02  9.3504033E-04  1.4053639E-04  5.9819847E-05  8.1275398E-06  3.3134819E-03
  8.8449074E-06  5.9423812E-05  1.3893207E-04  1.0000000E-06  4.0964469E-04  2.5151365E-04  4.4651856E-03  2.0283955E-02  7.3461677E-02  9.1911916E-04  1.3699769E-04  5.8791821E-05  8.7924406E-06  3.3295143E-03
  9.4396926E-06  5.8393075E-05  1.3547352E-04  1.0000000E-06  3.9676528E-04  2.4451387E-04  4.2701418E-03  1.9747460E-02  7.1602981E-02  9.0364942E-04  1.3359444E-04  5.7775624E-05  9.3828938E-06  3.3456101E-03
  9.9680677E-06  5.7376402E-05  1.3214498E-04  1.0000000E-06  3.8450627E-04  2.3783165E-04  4.0881757E-03  1.9234293E-02  6.9821279E-02  8.8861598E-04  1.3031846E-04  5.6773149E-05  9.9082553E-06  3.3617704E-03
  1.0425305E-05  5.6356995E-05  1.2892236E-04  1.0000000E-06  3.7280934E-04  2.3143561E-04  3.9173883E-03  1.8743019E-02  6.8112063E-02  8.7399035E-04  1.2714622E-04  5.5767263E-05  1.0362850E-05  3.3779956E-03
  1.0839506E-05  5.5371178E-05  1.2583498E-04  1.0000000E-06  3.6166760E-04  2.2532886E-04  3.7582056E-03  1.8272290E-02  6.6470949E-02  8.5977943E-04  1.2410770E-04  5.4794993E-05  1.0774324E-05  3.3942863E-03
  1.1204501E-05  5.4402652E-05  1.2286103E-04  1.0000000E-06  3.5118619E-04  2.1948470E-04  3.6090207E-03  1.7820928E-02  6.4894219E-02  8.4595770E-04  1.2118026E-04  5.3839423E-05  1.1137812E-05  3.4106430E-03
  1.1526520E-05  5.3452312E-05  1.1999419E-04  1.0000000E-06  3.4130753E-04  2.1388796E-04  3.4690107E-03  1.7387824E-02  6.3378309E-02  8.3250949E-04  1.1835732E-04  5.2901749E-05  1.1458668E-05  3.4270667E-03
  1.1810079E-05  5.2520722E-05  1.1723018E-04  1.0000000E-06  3.3185799E-04  2.0852407E-04  3.3374349E-03  1.6971946E-02  6.1919911E-02  8.1942335E-04  1.1563710E-04  5.1981616E-05  1.1740846E-05  3.4435576E-03
  1.2057744E-05  5.1607324E-05  1.1456406E-04  1.0000000E-06  3.2281265E-04  2.0338082E-04  3.2136248E-03  1.6572338E-02  6.0515949E-02  8.0668497E-04  1.1301129E-04  5.1080360E-05  1.1987091E-05  3.4601165E-03
  1.2273431E-05  5.0712921E-05  1.1199134E-04  1.0000000E-06  3.1414897E-04  1.9844415E-04  3.0969765E-03  1.6188112E-02  5.9163558E-02  7.9428164E-04  1.1047894E-04  5.0198235E-05  1.2202343E-05  3.4767443E-03
  1.2446296E-05  4.9819438E-05  1.0948909E-04  1.0000000E-06  3.0582921E-04  1.9369321E-04  2.9861644E-03  1.5818423E-02  5.7860046E-02  7.8219037E-04  1.0801416E-04  4.9315687E-05  1.2373900E-05  3.4934412E-03
  1.2605862E-05  4.8962036E-05  1.0708913E-04  1.0000000E-06  2.9786310E-04  1.8913764E-04  2.8821907E-03  1.5462539E-02  5.6602958E-02  7.7042068E-04  1.0565108E-04  4.8469199E-05  1.2533191E-05  3.5102083E-03
  1.2741687E-05  4.8122891E-05  1.0477029E-04  1.0000000E-06  2.9021655E-04  1.8475813E-04  2.7838825E-03  1.5119724E-02  5.5389945E-02  7.5895249E-04  1.0336742E-04  4.7640672E-05  1.2668738E-05  3.5270459E-03
  1.2856459E-05  4.7303192E-05  1.0252897E-04  1.0000000E-06  2.8287414E-04  1.8054505E-04  2.6908295E-03  1.4789308E-02  5.4218828E-02  7.4777375E-04  1.0116010E-04  4.6830729E-05  1.2782642E-05  3.5439550E-03
  1.2951294E-05  4.6500491E-05  1.0036191E-04  1.0000000E-06  2.7581884E-04  1.7648929E-04  2.6026577E-03  1.4470667E-02  5.3087566E-02  7.3690606E-04  9.9026375E-05  4.6039052E-05  1.2878041E-05  3.5609362E-03
  1.3028660E-05  4.5717464E-05  9.8266359E-05  1.0000000E-06  2.6903466E-04  1.7258364E-04  2.5190259E-03  1.4163215E-02  5.1994248E-02  7.2632582E-04  9.6961848E-05  4.5265265E-05  1.2955269E-05  3.5779903E-03
  0.0000000E+00  0.0000000E+00  8.3337227E-10  1.0000000E-06  2.5158174E-03  1.3645578E-03  8.2740081E-02  9.3786489E-02  3.1270921E-01  2.0416721E-03  8.2822905E-10  3.4000000E-09  0.0000000E+00  2.7276213E-03
  0.0000000E+00  0.0000000E+00  3.0142779E-04  1.0000000E-06  2.1633796E-03  1.1802147E-03  6.5794487E-02  8.3293094E-02  2.8070220E-01  1.9697218E-03  2.9957528E-04  3.9000000E-09  0.0000000E+00  2.7399866E-03
  0.0000000E+00  0.0000000E+00  2.9601631E-04  1.0000000E-06  1.9054306E-03  1.0484603E-03  5.4703965E-02  7.5317810E-02  2.5600430E-01  1.9058388E-03  2.9313552E-04  2.3000000E-09  0.0000000E+00  2.7524678E-03
  0.0000000E+00  0.0000000E+00  2.8856140E-04  1.0000000E-06  1.6963740E-03  9.4036500E-04  4.6099832E-02  6.8710203E-02  2.3531982E-01  1.8430340E-03  2.8513369E-04  2.1000000E-09  0.0000000E+00  2.7649820E-03
  0.0000000E+00  0.0000000E+00  2.7986134E-04  1.0000000E-06  1.5240714E-03  8.5030807E-04  3.9322634E-02  6.3146364E-02  2.1773284E-01  1.7852510E-03  2.7615304E-04  1.6000000E-09  0.0000000E+00  2.7775300E-03
  0.0000000E+00  0.0000000E+00  2.7099884E-04  1.0000000E-06  1.3793270E-03  7.7515062E-04  3.3906481E-02  5.8396435E-02  2.0258604E-01  1.7307354E-03  2.6725824E-04  2.9000000E-09  0.0000000E+00  2.7901113E-03
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  0.0000000E+00  5.1256154E-05  2.1742038E-04  1.0000000E-06  8.4921244E-04  4.9131629E-04  1.6263430E-02  4.0020201E-02  1.4265380E-01  1.4570342E-03  2.1414414E-04  5.0723433E-05  0.0000000E+00  2.8659409E-03
  0.0000000E+00  5.3225674E-05  2.0942713E-04  1.0000000E-06  7.9473878E-04  4.6234678E-04  1.4709482E-02  3.7977959E-02  1.3584182E-01  1.4181199E-03  2.0626614E-04  5.2644397E-05  0.0000000E+00  2.8786808E-03
  0.0000000E+00  5.4586672E-05  2.0181712E-04  1.0000000E-06  7.4616815E-04  4.3756332E-04  1.3365389E-02  3.6115183E-02  1.2959825E-01  1.3808324E-03  1.9877214E-04  5.3972692E-05  0.0000000E+00  2.8914581E-03
  0.0000000E+00  5.5428893E-05  1.9450937E-04  1.0000000E-06  7.0216940E-04  4.1486671E-04  1.2195460E-02  3.4409593E-02  1.2385537E-01  1.3450722E-03  1.9157948E-04  5.4793346E-05  0.0000000E+00  2.9042728E-03
  0.0000000E+00  5.5904006E-05  1.8757750E-04  1.0000000E-06  6.6366772E-04  3.9405985E-04  1.1172394E-02  3.2842565E-02  1.1855593E-01  1.3108341E-03  1.8475851E-04  5.5254238E-05  0.0000000E+00  2.9171253E-03
  0.0000000E+00  5.6048917E-05  1.8095216E-04  1.0000000E-06  6.2921460E-04  3.7506568E-04  1.0272498E-02  3.1398167E-02  1.1365099E-01  1.2780159E-03  1.7823876E-04  5.5395576E-05  0.0000000E+00  2.9300159E-03
  0.0000000E+00  5.5973947E-05  1.7467467E-04  1.0000000E-06  5.9757804E-04  3.5790394E-04  9.4779721E-03  3.0062904E-02  1.0909860E-01  1.2469914E-03  1.7206148E-04  5.5316181E-05  0.0000000E+00  2.9429448E-03
  0.0000000E+00  5.5706855E-05  1.6870722E-04  1.0000000E-06  5.6842836E-04  3.4201212E-04  8.7730956E-03  2.8825114E-02  1.0486253E-01  1.2175218E-03  1.6619176E-04  5.5051592E-05  0.0000000E+00  2.9559124E-03
  0.0000000E+00  5.5271636E-05  1.6301035E-04  1.0000000E-06  5.4147961E-04  3.2724355E-04  8.1445738E-03  2.7674720E-02  1.0091134E-01  1.1892097E-03  1.6058663E-04  5.4621627E-05  0.0000000E+00  2.9689185E-03
  0.0000000E+00  5.4736662E-05  1.5761709E-04  1.0000000E-06  5.1654136E-04  3.1351661E-04  7.5828505E-03  2.6603043E-02  9.7217667E-02  1.1620280E-03  1.5528024E-04  5.4094482E-05  0.0000000E+00  2.9819639E-03
  0.0000000E+00  5.4114958E-05  1.5248903E-04  1.0000000E-06  4.9387989E-04  3.0072040E-04  7.0786060E-03  2.5602457E-02  9.3757482E-02  1.1359128E-03  1.5023809E-04  5.3480964E-05  0.0000000E+00  2.9950488E-03
  0.0000000E+00  5.3405294E-05  1.4759154E-04  1.0000000E-06  4.7295853E-04  2.8875620E-04  6.6238105E-03  2.4666268E-02  9.0509653E-02  1.1107963E-03  1.4542040E-04  5.2780928E-05  0.0000000E+00  3.0081733E-03
  0.0000000E+00  5.2659622E-05  1.4295199E-04  1.0000000E-06  4.5344910E-04  2.7757244E-04  6.2131828E-03  2.3788652E-02  8.7455562E-02  1.0866553E-03  1.4085555E-04  5.2046651E-05  0.0000000E+00  3.0213378E-03
  0.0000000E+00  5.1877037E-05  1.3853450E-04  1.0000000E-06  4.3521264E-04  2.6708905E-04  5.8408886E-03  2.2964411E-02  8.4578666E-02  1.0634293E-03  1.3650979E-04  5.1275523E-05  0.0000000E+00  3.0345426E-03
  0.0000000E+00  5.1068378E-05  1.3432775E-04  1.0000000E-06  4.1813403E-04  2.5725648E-04  5.5023494E-03  2.2188953E-02  8.1864249E-02  1.0410729E-03  1.3237077E-04  5.0478239E-05  0.0000000E+00  3.0477879E-03
  2.0098608E-10  5.0224021E-05  1.3029983E-04  1.0000000E-06  4.0209992E-04  2.4826896E-04  5.1930432E-03  2.1458173E-02  7.9299162E-02  1.0195320E-03  1.2840949E-04  4.9646803E-05  2.0098413E-10  3.0610740E-03
  1.5202604E-06  4.9349040E-05  1.2638792E-04  1.0000000E-06  3.8619613E-04  2.3992576E-04  4.8968183E-03  2.0756973E-02  7.6830467E-02  9.9870117E-04  1.2456058E-04  4.8784752E-05  1.5172624E-06  3.0742484E-03
  2.4992107E-06  4.8517131E-05  1.2277504E-04  1.0000000E-06  3.7220280E-04  2.3204396E-04  4.6330258E-03  2.0110329E-02  7.4548069E-02  9.7887719E-04  1.2100527E-04  4.7964590E-05  2.4881063E-06  3.0871890E-03
  3.3689190E-06  4.7680423E-05  1.1931258E-04  1.0000000E-06  3.5897877E-04  2.2457587E-04  4.3909936E-03  1.9496510E-02  7.2376168E-02  9.5970396E-04  1.1759985E-04  4.7141305E-05  3.3515306E-06  3.1001791E-03
  4.1424892E-06  4.6844656E-05  1.1599537E-04  1.0000000E-06  3.4646722E-04  2.1749325E-04  4.1681360E-03  1.8913201E-02  7.0307265E-02  9.4115105E-04  1.1433589E-04  4.6317455E-05  4.1189705E-06  3.1132189E-03
  4.8249748E-06  4.5994973E-05  1.1279743E-04  1.0000000E-06  3.3460496E-04  2.1075910E-04  3.9616680E-03  1.8358281E-02  6.8334494E-02  9.2318328E-04  1.1118969E-04  4.5480576E-05  4.7963575E-06  3.1263090E-03
  5.4350290E-06  4.5167453E-05  1.0974582E-04  1.0000000E-06  3.2338892E-04  2.0446934E-04  3.7710826E-03  1.7829862E-02  6.6451625E-02  9.0579521E-04  1.0818760E-04  4.4665206E-05  5.4017194E-06  3.1394499E-03
  5.9767523E-06  4.4347816E-05  1.0681822E-04  1.0000000E-06  3.1278955E-04  1.9861407E-04  3.5943602E-03  1.7326172E-02  6.4652901E-02  8.8895260E-04  1.0530617E-04  4.3857184E-05  5.9396738E-06  3.1526419E-03
  6.4568635E-06  4.3539064E-05  1.0400773E-04  1.0000000E-06  3.0271772E-04  1.9303050E-04  3.4301991E-03  1.6845609E-02  6.2933047E-02  8.7270932E-04  1.0254093E-04  4.3059924E-05  6.4174415E-06  3.1658857E-03
  6.8848076E-06  4.2742533E-05  1.0130891E-04  1.0000000E-06  2.9314070E-04  1.8775353E-04  3.2774436E-03  1.6386694E-02  6.1287219E-02  8.5697341E-04  9.9884862E-05  4.2274827E-05  6.8416437E-06  3.1791814E-03
  7.2629434E-06  4.1958700E-05  9.8715760E-05  1.0000000E-06  2.8402557E-04  1.8272082E-04  3.1350659E-03  1.5948076E-02  5.9710949E-02  8.4171136E-04  9.7332253E-05  4.1501744E-05  7.2171688E-06  3.1925297E-03
  7.5873775E-06  4.1172826E-05  9.6207005E-05  1.0000000E-06  2.7532832E-04  1.7789952E-04  3.0015064E-03  1.5528492E-02  5.8200100E-02  8.2689320E-04  9.4862454E-05  4.0726498E-05  7.5402683E-06  3.2059311E-03
  7.8816485E-06  4.0416767E-05  9.3809403E-05  1.0000000E-06  2.6704932E-04  1.7330473E-04  2.8771726E-03  1.5126826E-02  5.6750896E-02  8.1252160E-04  9.2502906E-05  3.9980173E-05  7.8327676E-06  3.2193863E-03
  8.1412740E-06  3.9675052E-05  9.1502538E-05  1.0000000E-06  2.5915080E-04  1.6898713E-04  2.7607449E-03  1.4742002E-02  5.5359797E-02  7.9856878E-04  9.0231457E-05  3.9249016E-05  8.0907871E-06  3.2328952E-03
  8.3687234E-06  3.8948671E-05  8.9282273E-05  1.0000000E-06  2.5172355E-04  1.6494521E-04  2.6515653E-03  1.4373039E-02  5.4023539E-02  7.8501803E-04  8.8046290E-05  3.8532523E-05  8.3170638E-06  3.2464590E-03
  8.5681319E-06  3.8237516E-05  8.7144328E-05  1.0000000E-06  2.4462296E-04  1.6106487E-04  2.5490421E-03  1.4019031E-02  5.2739093E-02  7.7185363E-04  8.5941700E-05  3.7831218E-05  8.5155927E-06  3.2600777E-03
  8.7414852E-06  3.7542516E-05  8.5084349E-05  1.0000000E-06  2.3791623E-04  1.5733699E-04  2.4526419E-03  1.3679136E-02  5.1503639E-02  7.5906091E-04  8.3913544E-05  3.7145588E-05  8.6884515E-06  3.2737520E-03
  8.8921169E-06  3.6863096E-05  8.3099578E-05  1.0000000E-06  2.3153108E-04  1.5375375E-04  2.3618836E-03  1.3352573E-02  5.0314562E-02  7.4662447E-04  8.1959320E-05  3.6474893E-05  8.8383550E-06  3.2874825E-03
  9.0094683E-06  3.6183158E-05  8.1169813E-05  1.0000000E-06  2.2540026E-04  1.5029821E-04  2.2756708E-03  1.3038599E-02  4.9169402E-02  7.3452072E-04  8.0058837E-05  3.5803773E-05  8.9549140E-06  3.3012697E-03
  9.1189371E-06  3.5533384E-05  7.9321984E-05  1.0000000E-06  2.1953246E-04  1.4697986E-04  2.1948810E-03  1.2736572E-02  4.8065918E-02  7.2275646E-04  7.8240149E-05  3.5162307E-05  9.0642273E-06  3.3151142E-03
  9.2115669E-06  3.4898563E-05  7.7539649E-05  1.0000000E-06  2.1397606E-04  1.4378458E-04  2.1185433E-03  1.2445846E-02  4.7001968E-02  7.1130957E-04  7.6484643E-05  3.4536278E-05  9.1567150E-06  3.3290165E-03
  9.2887994E-06  3.4279153E-05  7.5818444E-05  1.0000000E-06  2.0867739E-04  1.4070550E-04  2.0463320E-03  1.2165835E-02  4.5975569E-02  7.0016826E-04  7.4790204E-05  3.3924685E-05  9.2337579E-06  3.3429768E-03
  9.3520062E-06  3.3674267E-05  7.4156573E-05  1.0000000E-06  2.0358605E-04  1.3774982E-04  1.9779511E-03  1.1895990E-02  4.4984861E-02  6.8932507E-04  7.3152866E-05  3.3327222E-05  9.2967324E-06  3.3569963E-03
  9.4024096E-06  3.3083786E-05  7.2550322E-05  1.0000000E-06  1.9869984E-04  1.3490524E-04  1.9133488E-03  1.1635799E-02  4.4028106E-02  6.7880958E-04  7.1571036E-05  3.2744541E-05  9.3473755E-06  3.3710754E-03
  0.0000000E+00  0.0000000E+00  6.8403666E-10  1.0000000E-06  1.8909114E-03  1.0624723E-03  7.1423912E-02  8.1757882E-02  2.8215105E-01  2.1203573E-03  6.7996736E-10  4.1000000E-09  0.0000000E+00  2.6460503E-03
  0.0000000E+00  0.0000000E+00  2.4740114E-04  1.0000000E-06  1.6143272E-03  9.1180895E-04  5.6042922E-02  7.2319599E-02  2.5213096E-01  2.0311792E-03  2.4592950E-04  4.7000000E-09  0.0000000E+00  2.6560952E-03
  0.0000000E+00  0.0000000E+00  2.3948160E-04  1.0000000E-06  1.4136993E-03  8.0189891E-04  4.6103276E-02  6.5171394E-02  2.2911780E-01  1.9544098E-03  2.3721537E-04  4.9000000E-09  0.0000000E+00  2.6664099E-03
  0.0000000E+00  0.0000000E+00  2.3101747E-04  1.0000000E-06  1.2516834E-03  7.1273510E-04  3.8490320E-02  5.9269465E-02  2.0991702E-01  1.8822031E-03  2.2837828E-04  4.8000000E-09  0.0000000E+00  2.6767517E-03
  0.0000000E+00  0.0000000E+00  2.2284056E-04  1.0000000E-06  1.1194215E-03  6.4064559E-04  3.2560680E-02  5.4315614E-02  1.9364807E-01  1.8151380E-03  2.1999891E-04  4.5000000E-09  0.0000000E+00  2.6871208E-03
  0.0000000E+00  0.0000000E+00  2.1444828E-04  1.0000000E-06  1.0106988E-03  5.8331046E-04  2.7868584E-02  5.0098814E-02  1.7968108E-01  1.7519829E-03  2.1152679E-04  5.6000000E-09  0.0000000E+00  2.6975175E-03
  0.0000000E+00  2.3108136E-10  2.0606768E-04  1.0000000E-06  9.1963025E-04  5.3696566E-04  2.4101598E-02  4.6466041E-02  1.6755454E-01  1.6919215E-03  2.0314307E-04  2.3102192E-10  0.0000000E+00  2.7079418E-03
  0.0000000E+00  2.5627914E-05  1.9721529E-04  1.0000000E-06  8.4104892E-04  4.9564662E-04  2.0806254E-02  4.3208601E-02  1.5660775E-01  1.6331756E-03  1.9433809E-04  2.5578904E-05  0.0000000E+00  2.7183676E-03
  0.0000000E+00  3.0550670E-05  1.8944135E-04  1.0000000E-06  7.7884875E-04  4.6146723E-04  1.8304119E-02  4.0488703E-02  1.4739925E-01  1.5803919E-03  1.8663740E-04  3.0362187E-05  0.0000000E+00  2.7287603E-03
  0.0000000E+00  3.4207963E-05  1.8190908E-04  1.0000000E-06  7.2423630E-04  4.3190560E-04  1.6211678E-02  3.8060045E-02  1.3912768E-01  1.5301475E-03  1.7918849E-04  3.3920582E-05  0.0000000E+00  2.7391827E-03
  0.0000000E+00  3.6873436E-05  1.7459979E-04  1.0000000E-06  6.7659289E-04  4.0531333E-04  1.4447426E-02  3.5879180E-02  1.3165863E-01  1.4823373E-03  1.7197435E-04  3.6514142E-05  0.0000000E+00  2.7496348E-03
  0.0000000E+00  3.8795683E-05  1.6766628E-04  1.0000000E-06  6.3387376E-04  3.8134954E-04  1.2948774E-02  3.3910962E-02  1.2488226E-01  1.4379459E-03  1.6513375E-04  3.8384366E-05  0.0000000E+00  2.7601169E-03
  0.0000000E+00  4.0107557E-05  1.6101022E-04  1.0000000E-06  5.9532289E-04  3.5960891E-04  1.1666481E-02  3.2126351E-02  1.1870762E-01  1.3957675E-03  1.5857429E-04  3.9660464E-05  0.0000000E+00  2.7706293E-03
  0.0000000E+00  4.0983710E-05  1.5472934E-04  1.0000000E-06  5.6045568E-04  3.3986177E-04  1.0562684E-02  3.0501475E-02  1.1305917E-01  1.3556213E-03  1.5238634E-04  4.0511929E-05  0.0000000E+00  2.7811720E-03
  0.0000000E+00  4.1479527E-05  1.4873498E-04  1.0000000E-06  5.2874181E-04  3.2181758E-04  9.6061703E-03  2.9016248E-02  1.0787331E-01  1.3173573E-03  1.4648133E-04  4.0991607E-05  0.0000000E+00  2.7917453E-03
  0.0000000E+00  4.1715807E-05  1.4308593E-04  1.0000000E-06  4.9984601E-04  3.0531409E-04  8.7732793E-03  2.7653915E-02  1.0309634E-01  1.2809181E-03  1.4092032E-04  4.1217310E-05  0.0000000E+00  2.8023495E-03
  0.0000000E+00  4.1715180E-05  1.3771044E-04  1.0000000E-06  4.7338921E-04  2.9014299E-04  8.0435056E-03  2.6400163E-02  9.8682485E-02  1.2461657E-03  1.3563031E-04  4.1212618E-05  0.0000000E+00  2.8129847E-03
  0.0000000E+00  4.1560487E-05  1.3264538E-04  1.0000000E-06  4.4912992E-04  2.7618524E-04  7.4016138E-03  2.5242892E-02  9.4592592E-02  1.2130330E-03  1.3064430E-04  4.1057413E-05  0.0000000E+00  2.8236512E-03
  0.0000000E+00  4.1273535E-05  1.2785084E-04  1.0000000E-06  4.2680483E-04  2.6329754E-04  6.8383475E-03  2.4171658E-02  9.0792876E-02  1.1814149E-03  1.2592533E-04  4.0773189E-05  0.0000000E+00  2.8343491E-03
  0.0000000E+00  4.0867138E-05  1.2328893E-04  1.0000000E-06  4.0619085E-04  2.5146443E-04  6.3375605E-03  2.3177451E-02  8.7254059E-02  1.1512050E-03  1.2143679E-04  4.0369786E-05  0.0000000E+00  2.8450787E-03
  0.0000000E+00  4.0397256E-05  1.1898887E-04  1.0000000E-06  3.8724473E-04  2.4124361E-04  5.8910295E-03  2.2252530E-02  8.3950725E-02  1.1223474E-03  1.1720686E-04  3.9906031E-05  0.0000000E+00  2.8558403E-03
  0.0000000E+00  3.9868146E-05  1.1491337E-04  1.0000000E-06  3.6982570E-04  2.3191083E-04  5.4910165E-03  2.1390088E-02  8.0860585E-02  1.0947505E-03  1.1319692E-04  3.9384132E-05  0.0000000E+00  2.8666340E-03
  0.0000000E+00  3.9277575E-05  1.1103140E-04  1.0000000E-06  3.5377773E-04  2.2331225E-04  5.1308648E-03  2.0584172E-02  7.7964058E-02  1.0684041E-03  1.0937822E-04  3.8802548E-05  0.0000000E+00  2.8774600E-03
  0.0000000E+00  3.8669664E-05  1.0736475E-04  1.0000000E-06  3.3895518E-04  2.1529725E-04  4.8063131E-03  1.9829604E-02  7.5243929E-02  1.0432651E-03  1.0577098E-04  3.8202983E-05  0.0000000E+00  2.8883186E-03
  0.0000000E+00  3.8039181E-05  1.0388534E-04  1.0000000E-06  3.2516261E-04  2.0777026E-04  4.5125509E-03  1.9121765E-02  7.2684909E-02  1.0191629E-03  1.0234664E-04  3.7581749E-05  0.0000000E+00  2.8992101E-03
  0.0000000E+00  3.7392800E-05  1.0057858E-04  1.0000000E-06  3.1225640E-04  2.0068929E-04  4.2458400E-03  1.8456587E-02  7.0273431E-02  9.9603752E-04  9.9094488E-05  3.6945310E-05  0.0000000E+00  2.9101349E-03
  2.0073049E-10  3.6722916E-05  9.7419998E-05  1.0000000E-06  3.0014772E-04  1.9400933E-04  4.0024524E-03  1.7830433E-02  6.7997382E-02  9.7382411E-04  9.5985821E-05  3.6284983E-05  2.0072895E-10  2.9210926E-03
  1.1262702E-06  3.6036370E-05  9.4362060E-05  1.0000000E-06  2.8817979E-04  1.8783235E-04  3.7699024E-03  1.7230273E-02  6.5809378E-02  9.5236696E-04  9.2977121E-05  3.5608162E-05  1.1239014E-06  2.9319381E-03
  1.8323892E-06  3.5384983E-05  9.1541126E-05  1.0000000E-06  2.7770231E-04  1.8196621E-04  3.5631249E-03  1.6677414E-02  6.3788939E-02  9.3203595E-04  9.0202314E-05  3.4967576E-05  1.8242781E-06  2.9425538E-03
  2.4595166E-06  3.4734599E-05  8.8845139E-05  1.0000000E-06  2.6780480E-04  1.7659425E-04  3.3732364E-03  1.6153155E-02  6.1868451E-02  9.1242362E-04  8.7550399E-05  3.4327374E-05  2.4459996E-06  2.9532098E-03
  3.0157704E-06  3.4087034E-05  8.6266346E-05  1.0000000E-06  2.5852244E-04  1.7148823E-04  3.1984768E-03  1.5655452E-02  6.0041022E-02  8.9349288E-04  8.5013373E-05  3.3688908E-05  2.9973847E-06  2.9639060E-03
  3.5037980E-06  3.3429691E-05  8.3783621E-05  1.0000000E-06  2.4989184E-04  1.6661950E-04  3.0367429E-03  1.5182433E-02  5.8300351E-02  8.7520482E-04  8.2570778E-05  3.3043270E-05  3.4825944E-06  2.9746432E-03
  3.9405404E-06  3.2793222E-05  8.1420977E-05  1.0000000E-06  2.4180098E-04  1.6198632E-04  2.8877337E-03  1.4732434E-02  5.6640733E-02  8.5754557E-04  8.0246008E-05  3.2419154E-05  3.9158032E-06  2.9854214E-03
  4.3272502E-06  3.2168071E-05  7.9157840E-05  1.0000000E-06  2.3411747E-04  1.5757336E-04  2.7497573E-03  1.4303896E-02  5.5056887E-02  8.4047942E-04  7.8018212E-05  3.1803046E-05  4.2998849E-06  2.9962409E-03
  4.6708174E-06  3.1552763E-05  7.6989468E-05  1.0000000E-06  2.2681396E-04  1.5336487E-04  2.6217591E-03  1.3895406E-02  5.3543997E-02  8.2397786E-04  7.5892361E-05  3.1195973E-05  4.6403955E-06  3.0071027E-03
  4.9743980E-06  3.0948517E-05  7.4913702E-05  1.0000000E-06  2.1992103E-04  1.4934217E-04  2.5028060E-03  1.3505636E-02  5.2097523E-02  8.0801526E-04  7.3854238E-05  3.0600375E-05  4.9420861E-06  3.0180066E-03
  5.2429256E-06  3.0354704E-05  7.2926462E-05  1.0000000E-06  2.1337409E-04  1.4551316E-04  2.3920689E-03  1.3133462E-02  5.0713612E-02  7.9256912E-04  7.1898494E-05  3.0014923E-05  5.2086953E-06  3.0289532E-03
  5.4708054E-06  2.9758511E-05  7.1004779E-05  1.0000000E-06  2.0712134E-04  1.4184700E-04  2.2882264E-03  1.2777776E-02  4.9388483E-02  7.7762718E-04  7.0006026E-05  2.9427026E-05  5.4353023E-06  3.0399427E-03
  5.6782776E-06  2.9188299E-05  6.9172153E-05  1.0000000E-06  2.0116224E-04  1.3833955E-04  2.1917355E-03  1.2437535E-02  4.8118485E-02  7.6321407E-04  6.8202440E-05  2.8864412E-05  5.6417132E-06  3.0509757E-03
  5.8604240E-06  2.8629434E-05  6.7411397E-05  1.0000000E-06  1.9547035E-04  1.3497578E-04  2.1014753E-03  1.2111830E-02  4.6900505E-02  7.4924662E-04  6.6469329E-05  2.8314032E-05  5.8228169E-06  3.0620528E-03
  6.0201796E-06  2.8084085E-05  6.5718589E-05  1.0000000E-06  1.9003074E-04  1.3174719E-04  2.0169198E-03  1.1799803E-02  4.5731573E-02  7.3570542E-04  6.4802812E-05  2.7775829E-05  5.9816734E-06  3.0731739E-03
  6.1592773E-06  2.7551016E-05  6.4090781E-05  1.0000000E-06  1.8482687E-04  1.2864642E-04  1.9375957E-03  1.1500661E-02  4.4608941E-02  7.2257288E-04  6.3200264E-05  2.7250024E-05  6.1200607E-06  3.0843398E-03
  6.2798427E-06  2.7030244E-05  6.2524506E-05  1.0000000E-06  1.7984538E-04  1.2566628E-04  1.8630784E-03  1.1213669E-02  4.3530049E-02  7.0983180E-04  6.1658448E-05  2.6736241E-05  6.2399519E-06  3.0955507E-03
  6.3840996E-06  2.6522352E-05  6.1016772E-05  1.0000000E-06  1.7507373E-04  1.2280066E-04  1.7929845E-03  1.0938145E-02  4.2492526E-02  6.9746614E-04  6.0173772E-05  2.6235170E-05  6.3439332E-06  3.1068072E-03
  6.4615932E-06  2.6011890E-05  5.9550373E-05  1.0000000E-06  1.7050949E-04  1.2003556E-04  1.7263681E-03  1.0673443E-02  4.1494147E-02  6.8545037E-04  5.8729888E-05  2.5731684E-05  6.4213172E-06  3.1181096E-03
  6.5364770E-06  2.5527313E-05  5.8149976E-05  1.0000000E-06  1.6614320E-04  1.1737983E-04  1.6640706E-03  1.0419001E-02  4.0532878E-02  6.7378930E-04  5.7350890E-05  2.5253657E-05  6.4955780E-06  3.1294584E-03
  6.5990590E-06  2.5054558E-05  5.6800114E-05  1.0000000E-06  1.6195247E-04  1.1482144E-04  1.6052518E-03  1.0174259E-02  3.9606788E-02  6.6245937E-04  5.6022060E-05  2.4787313E-05  6.5580759E-06  3.1408541E-03
  6.6503794E-06  2.4593780E-05  5.5498672E-05  1.0000000E-06  1.5792654E-04  1.1236563E-04  1.5496542E-03  9.9387056E-03  3.8714083E-02  6.5144734E-04  5.4739994E-05  2.4332227E-05  6.6092640E-06  3.1522970E-03
  6.6921207E-06  2.4144455E-05  5.4242761E-05  1.0000000E-06  1.5405768E-04  1.1000748E-04  1.4970434E-03  9.7118644E-03  3.7853085E-02  6.4074180E-04  5.3503557E-05  2.3888665E-05  6.6509694E-06  3.1637878E-03
  6.7247692E-06  2.3706295E-05  5.3030584E-05  1.0000000E-06  1.5034650E-04  1.0773136E-04  1.4472061E-03  9.4932908E-03  3.7022224E-02  6.3032970E-04  5.2309599E-05  2.3456453E-05  6.6838091E-06  3.1753267E-03
  0.0000000E+00  0.0000000E+00  5.5422853E-10  1.0000000E-06  1.4271173E-03  8.1641527E-04  6.0976041E-02  7.0825013E-02  2.5289377E-01  2.2036187E-03  5.5104023E-10  4.2000000E-09  0.0000000E+00  2.5573194E-03
  0.0000000E+00  0.0000000E+00  2.0045407E-04  1.0000000E-06  1.2015931E-03  7.0073930E-04  4.7212449E-02  6.2372842E-02  2.2503449E-01  2.0957841E-03  1.9930099E-04  4.9000000E-09  0.0000000E+00  2.5658704E-03
  0.0000000E+00  0.0000000E+00  1.9133686E-04  1.0000000E-06  1.0531295E-03  6.1858323E-04  3.8424732E-02  5.6014686E-02  2.0374260E-01  2.0034484E-03  1.8960489E-04  4.7000000E-09  0.0000000E+00  2.5743054E-03
  0.0000000E+00  0.0000000E+00  1.8332347E-04  1.0000000E-06  9.4031620E-04  5.5299842E-04  3.1778686E-02  5.0782962E-02  1.8604615E-01  1.9168694E-03  1.8127172E-04  4.7000000E-09  0.0000000E+00  2.5827624E-03
  0.0000000E+00  0.0000000E+00  1.7540539E-04  1.0000000E-06  8.4710814E-04  5.0095075E-04  2.6659080E-02  4.6405437E-02  1.7110462E-01  1.8360328E-03  1.7319507E-04  5.3000000E-09  0.0000000E+00  2.5912414E-03
  0.0000000E+00  0.0000000E+00  1.6766220E-04  1.0000000E-06  7.6871571E-04  4.5780596E-04  2.2647371E-02  4.2690052E-02  1.5831878E-01  1.7607374E-03  1.6539333E-04  5.4000000E-09  0.0000000E+00  2.5997426E-03
  0.0000000E+00  2.2410178E-10  1.6018154E-04  1.0000000E-06  7.0193456E-04  4.2079793E-04  1.9454656E-02  3.9497882E-02  1.4725101E-01  1.6919423E-03  1.5791821E-04  2.2405465E-10  0.0000000E+00  2.6082661E-03
  0.0000000E+00  1.9872996E-05  1.5251933E-04  1.0000000E-06  6.4249426E-04  3.8760288E-04  1.6688819E-02  3.6642630E-02  1.3728721E-01  1.6263673E-03  1.5029767E-04  1.9834137E-05  0.0000000E+00  2.6167867E-03
  0.0000000E+00  2.3340274E-05  1.4587008E-04  1.0000000E-06  5.9380849E-04  3.6029641E-04  1.4603244E-02  3.4264451E-02  1.2892867E-01  1.5680627E-03  1.4370950E-04  2.3196201E-05  0.0000000E+00  2.6252709E-03
  0.0000000E+00  2.5886837E-05  1.3952031E-04  1.0000000E-06  5.5103819E-04  3.3623419E-04  1.2870229E-02  3.2145550E-02  1.2143862E-01  1.5130868E-03  1.3743131E-04  2.5666216E-05  0.0000000E+00  2.6337791E-03
  0.0000000E+00  2.7710212E-05  1.3343547E-04  1.0000000E-06  5.1379304E-04  3.1477058E-04  1.1417641E-02  3.0246777E-02  1.1469062E-01  1.4612125E-03  1.3141953E-04  2.7434272E-05  0.0000000E+00  2.6423111E-03
  0.0000000E+00  2.9000543E-05  1.2771785E-04  1.0000000E-06  4.8070180E-04  2.9672305E-04  1.0190501E-02  2.8536517E-02  1.0858162E-01  1.4123053E-03  1.2577626E-04  2.8683617E-05  0.0000000E+00  2.6508674E-03
  0.0000000E+00  2.9848581E-05  1.2227461E-04  1.0000000E-06  4.5107167E-04  2.8047107E-04  9.1458938E-03  2.6988710E-02  1.0302655E-01  1.3661135E-03  1.2040952E-04  2.9506812E-05  0.0000000E+00  2.6594481E-03
  0.0000000E+00  3.0387274E-05  1.1717447E-04  1.0000000E-06  4.2430204E-04  2.6577589E-04  8.2603306E-03  2.5581966E-02  9.7954815E-02  1.3226840E-03  1.1538442E-04  3.0026788E-05  0.0000000E+00  2.6680532E-03
  0.0000000E+00  3.0654373E-05  1.1233701E-04  1.0000000E-06  4.0012605E-04  2.5230981E-04  7.4957663E-03  2.4298329E-02  9.3307133E-02  1.2817216E-03  1.1061846E-04  3.0281201E-05  0.0000000E+00  2.6766831E-03
  0.0000000E+00  3.0740820E-05  1.0780599E-04  1.0000000E-06  3.7816392E-04  2.4055624E-04  6.8320206E-03  2.3122837E-02  8.9033598E-02  1.2429365E-03  1.0615631E-04  3.0361790E-05  0.0000000E+00  2.6853375E-03
  0.0000000E+00  3.0660517E-05  1.0351317E-04  1.0000000E-06  3.5806889E-04  2.2971468E-04  6.2520282E-03  2.2042743E-02  8.5091703E-02  1.2061501E-03  1.0193016E-04  3.0282292E-05  0.0000000E+00  2.6940173E-03
  0.0000000E+00  3.0483431E-05  9.9487866E-05  1.0000000E-06  3.3971166E-04  2.1970342E-04  5.7431697E-03  2.1047277E-02  8.1445157E-02  1.1712513E-03  9.7967423E-05  3.0104783E-05  0.0000000E+00  2.7027222E-03
  0.0000000E+00  3.0215383E-05  9.5692376E-05  1.0000000E-06  3.2298401E-04  2.1042560E-04  5.2943439E-03  2.0127166E-02  7.8062722E-02  1.1380996E-03  9.4233626E-05  2.9838709E-05  0.0000000E+00  2.7114524E-03
  0.0000000E+00  2.9860656E-05  9.2095348E-05  1.0000000E-06  3.0753346E-04  2.0188473E-04  4.8962271E-03  1.9274416E-02  7.4917370E-02  1.1065615E-03  9.0691478E-05  2.9488785E-05  0.0000000E+00  2.7202080E-03
  0.0000000E+00  2.9469276E-05  8.8716315E-05  1.0000000E-06  2.9325253E-04  1.9395122E-04  4.5422704E-03  1.8482173E-02  7.1985658E-02  1.0765537E-03  8.7381590E-05  2.9101712E-05  0.0000000E+00  2.7289894E-03
  0.0000000E+00  2.9037798E-05  8.5541347E-05  1.0000000E-06  2.8021109E-04  1.8682604E-04  4.2260343E-03  1.7744418E-02  6.9247078E-02  1.0479647E-03  8.4258887E-05  2.8677002E-05  0.0000000E+00  2.7377967E-03
  0.0000000E+00  2.8564171E-05  8.2523891E-05  1.0000000E-06  2.6837565E-04  1.8018417E-04  3.9419948E-03  1.7055893E-02  6.6683634E-02  1.0206901E-03  8.1288740E-05  2.8208303E-05  0.0000000E+00  2.7466301E-03
  0.0000000E+00  2.8082914E-05  7.9683309E-05  1.0000000E-06  2.5742996E-04  1.7395499E-04  3.6866606E-03  1.6412030E-02  6.4279531E-02  9.9466337E-04  7.8493132E-05  2.7734292E-05  0.0000000E+00  2.7554897E-03
  0.0000000E+00  2.7588129E-05  7.6992265E-05  1.0000000E-06  2.4722907E-04  1.6809642E-04  3.4560650E-03  1.5808765E-02  6.2020757E-02  9.6979811E-04  7.5846865E-05  2.7247699E-05  0.0000000E+00  2.7643756E-03
  0.0000000E+00  2.7086563E-05  7.4442886E-05  1.0000000E-06  2.3767815E-04  1.6262513E-04  3.2471444E-03  1.5242512E-02  5.9894899E-02  9.4602059E-04  7.3337529E-05  2.6753429E-05  0.0000000E+00  2.7732884E-03
  2.0053519E-10  2.6568286E-05  7.2010095E-05  1.0000000E-06  2.2871212E-04  1.5746249E-04  3.0568348E-03  1.4710082E-02  5.7890883E-02  9.2325532E-04  7.0943340E-05  2.6241276E-05  2.0053403E-10  2.7822279E-03
  8.2520737E-07  2.6040534E-05  6.9661904E-05  1.0000000E-06  2.1983920E-04  1.5258567E-04  2.8755299E-03  1.4200310E-02  5.5966633E-02  9.0129653E-04  6.8633076E-05  2.5722543E-05  8.2341299E-07  2.7910554E-03
  1.3292169E-06  2.5542139E-05  6.7498969E-05  1.0000000E-06  2.1201577E-04  1.4801704E-04  2.7146535E-03  1.3731235E-02  5.4191918E-02  8.8067625E-04  6.6505452E-05  2.5232233E-05  1.3230186E-06  2.7996584E-03
  1.7761942E-06  2.5046559E-05  6.5436099E-05  1.0000000E-06  2.0462237E-04  1.4367428E-04  2.5671577E-03  1.3286884E-02  5.2506890E-02  8.6084695E-04  6.4475895E-05  2.4744466E-05  1.7662618E-06  2.8082935E-03
  2.1717394E-06  2.4554800E-05  6.3465948E-05  1.0000000E-06  1.9762796E-04  1.3954183E-04  2.4316228E-03  1.2865466E-02  5.0905269E-02  8.4175331E-04  6.2537833E-05  2.4259771E-05  2.1583540E-06  2.8169609E-03
  2.5181972E-06  2.4056086E-05  6.1571500E-05  1.0000000E-06  1.9099549E-04  1.3559853E-04  2.3063292E-03  1.2465342E-02  4.9381321E-02  8.2335111E-04  6.0673749E-05  2.3768293E-05  2.5018609E-06  2.8256609E-03
  2.8275360E-06  2.3575942E-05  5.9772453E-05  1.0000000E-06  1.8471331E-04  1.3184491E-04  2.1910898E-03  1.2085058E-02  4.7929853E-02  8.0562120E-04  5.8903196E-05  2.3295890E-05  2.8091753E-06  2.8343939E-03
  3.1011476E-06  2.3103813E-05  5.8051688E-05  1.0000000E-06  1.7875169E-04  1.2826251E-04  2.0845228E-03  1.1723252E-02  4.6546076E-02  7.8852204E-04  5.7210236E-05  2.2830780E-05  3.0802710E-06  2.8431599E-03
  3.3431862E-06  2.2640243E-05  5.6405669E-05  1.0000000E-06  1.7308706E-04  1.2484091E-04  1.9857862E-03  1.1378690E-02  4.5225620E-02  7.7202357E-04  5.5590372E-05  2.2373941E-05  3.3209268E-06  2.8519597E-03
  3.5571399E-06  2.2185995E-05  5.4830085E-05  1.0000000E-06  1.6770057E-04  1.2156990E-04  1.8941357E-03  1.1050242E-02  4.3964469E-02  7.5609633E-04  5.4039483E-05  2.1926251E-05  3.5334801E-06  2.8607931E-03
  3.7457947E-06  2.1740970E-05  5.3320496E-05  1.0000000E-06  1.6257411E-04  1.1844051E-04  1.8089120E-03  1.0736874E-02  4.2758933E-02  7.4071285E-04  5.2554243E-05  2.1488003E-05  3.7204624E-06  2.8696606E-03
  3.9040247E-06  2.1293288E-05  5.1860769E-05  1.0000000E-06  1.5768184E-04  1.1543774E-04  1.7290302E-03  1.0437620E-02  4.1605602E-02  7.2583877E-04  5.1117246E-05  2.1046624E-05  3.8777706E-06  2.8785628E-03
  4.0488549E-06  2.0867601E-05  5.0472631E-05  1.0000000E-06  1.5302427E-04  1.1256617E-04  1.6549216E-03  1.0151632E-02  4.0501368E-02  7.1146744E-04  4.9751180E-05  2.0626871E-05  4.0212432E-06  2.8874995E-03
  4.1755003E-06  2.0451037E-05  4.9140266E-05  1.0000000E-06  1.4858001E-04  1.0981258E-04  1.5856657E-03  9.8780891E-03  3.9443325E-02  6.9756684E-04  4.8440260E-05  2.0216447E-05  4.1476173E-06  2.8964714E-03
  4.2861689E-06  2.0045491E-05  4.7861372E-05  1.0000000E-06  1.4433674E-04  1.0717020E-04  1.5208468E-03  9.6162495E-03  3.8428796E-02  6.8411620E-04  4.7181312E-05  1.9816514E-05  4.2575435E-06  2.9054786E-03
  4.3823916E-06  1.9649494E-05  4.6633240E-05  1.0000000E-06  1.4028561E-04  1.0464907E-04  1.4600921E-03  9.3654233E-03  3.7455305E-02  6.7109493E-04  4.5972329E-05  1.9426199E-05  4.3532059E-06  2.9145215E-03
  4.4654318E-06  1.9263604E-05  4.5453134E-05  1.0000000E-06  1.3640966E-04  1.0226699E-04  1.4030669E-03  9.1249752E-03  3.6520549E-02  6.5848429E-04  4.4810454E-05  1.9045644E-05  4.4359598E-06  2.9236005E-03
  4.5365902E-06  1.8887247E-05  4.4318005E-05  1.0000000E-06  1.3272345E-04  9.9975199E-05  1.3494701E-03  8.8943144E-03  3.5622395E-02  6.4626603E-04  4.3693009E-05  1.8674460E-05  4.5066957E-06  2.9327160E-03
  4.5876687E-06  1.8508506E-05  4.3213947E-05  1.0000000E-06  1.2921388E-04  9.7787952E-05  1.2985168E-03  8.6728816E-03  3.4758845E-02  6.3441489E-04  4.2606045E-05  1.8300768E-05  4.5572974E-06  2.9418681E-03
  4.6380448E-06  1.8150690E-05  4.2162335E-05  1.0000000E-06  1.2588166E-04  9.5687853E-05  1.2509493E-03  8.4601916E-03  3.3928075E-02  6.2293068E-04  4.1571035E-05  1.7947877E-05  4.6074882E-06  2.9510572E-03
  4.6795033E-06  1.7802035E-05  4.1149761E-05  1.0000000E-06  1.2271644E-04  9.3691226E-05  1.2060695E-03  8.2557606E-03  3.3128352E-02  6.1179039E-04  4.0574206E-05  1.7604195E-05  4.6491501E-06  2.9602839E-03
  4.7134410E-06  1.7462810E-05  4.0174090E-05  1.0000000E-06  1.1967644E-04  9.1794304E-05  1.1636759E-03  8.0591473E-03  3.2358067E-02  6.0098009E-04  3.9613695E-05  1.7269473E-05  4.6831354E-06  2.9695484E-03
  4.7403675E-06  1.7131923E-05  3.9233903E-05  1.0000000E-06  1.1675528E-04  8.9963354E-05  1.1235859E-03  7.8699408E-03  3.1615720E-02  5.9048562E-04  3.8687829E-05  1.6943349E-05  4.7099121E-06  2.9788510E-03
  4.7611665E-06  1.6810418E-05  3.8327554E-05  1.0000000E-06  1.1394683E-04  8.8194950E-05  1.0856328E-03  7.6877584E-03  3.0899907E-02  5.8029452E-04  3.7795380E-05  1.6625859E-05  4.7307701E-06  2.9881920E-03
  0.0000000E+00  0.0000000E+00  4.4282691E-10  1.0000000E-06  1.1128624E-03  6.4828434E-04  5.1413823E-02  6.0927054E-02  2.2512032E-01  2.2844859E-03  4.4034894E-10  3.8000000E-09  0.0000000E+00  2.4626300E-03
  0.0000000E+00  0.0000000E+00  1.6015164E-04  1.0000000E-06  9.4335261E-04  5.5593543E-04  3.9292365E-02  5.3436115E-02  1.9940996E-01  2.1518497E-03  1.5925815E-04  4.5000000E-09  0.0000000E+00  2.4692550E-03
  0.0000000E+00  0.0000000E+00  1.5140628E-04  1.0000000E-06  8.2565186E-04  4.8954581E-04  3.1640424E-02  4.7818673E-02  1.7987745E-01  2.0384485E-03  1.5006119E-04  4.2000000E-09  0.0000000E+00  2.4760994E-03
  0.0000000E+00  0.0000000E+00  1.4359690E-04  1.0000000E-06  7.3308874E-04  4.3767815E-04  2.5921608E-02  4.3212930E-02  1.6370443E-01  1.9374795E-03  1.4200592E-04  3.7000000E-09  0.0000000E+00  2.4829612E-03
  0.0000000E+00  0.0000000E+00  1.3627215E-04  1.0000000E-06  6.5722872E-04  3.9551433E-04  2.1562584E-02  3.9371806E-02  1.5009643E-01  1.8450399E-03  1.3456598E-04  4.4000000E-09  0.0000000E+00  2.4898408E-03
  0.0000000E+00  0.0000000E+00  1.2937018E-04  1.0000000E-06  5.9374708E-04  3.6211980E-04  1.8179153E-02  3.6121543E-02  1.3848890E-01  1.7602896E-03  1.2762422E-04  5.7000000E-09  0.0000000E+00  2.4967381E-03
  0.0000000E+00  2.1843663E-10  1.2288536E-04  1.0000000E-06  5.4071814E-04  3.3411357E-04  1.5509512E-02  3.3336814E-02  1.2847083E-01  1.6827971E-03  1.2114731E-04  2.1840036E-10  0.0000000E+00  2.5036530E-03
  0.0000000E+00  1.5201872E-05  1.1640021E-04  1.0000000E-06  4.9462545E-04  3.0930305E-04  1.3218999E-02  3.0852407E-02  1.1947639E-01  1.6095550E-03  1.1469820E-04  1.5171967E-05  0.0000000E+00  2.5105620E-03
  0.0000000E+00  1.7592767E-05  1.1083609E-04  1.0000000E-06  4.5729917E-04  2.8865776E-04  1.1503829E-02  2.8788395E-02  1.1195159E-01  1.5451711E-03  1.0918625E-04  1.7481898E-05  0.0000000E+00  2.5174320E-03
  0.0000000E+00  1.9326684E-05  1.0559427E-04  1.0000000E-06  4.2432946E-04  2.7020771E-04  1.0091296E-02  2.6953548E-02  1.0522471E-01  1.4850686E-03  1.0399999E-04  1.9158109E-05  0.0000000E+00  2.5243212E-03
  0.0000000E+00  2.0545696E-05  1.0061911E-04  1.0000000E-06  3.9502815E-04  2.5394974E-04  8.9266992E-03  2.5312818E-02  9.9177959E-02  1.4288601E-03  9.9082885E-05  2.0335284E-05  0.0000000E+00  2.5312295E-03
  0.0000000E+00  2.1395313E-05  9.5988410E-05  1.0000000E-06  3.6900176E-04  2.4009412E-04  7.9468782E-03  2.3837973E-02  9.3715561E-02  1.3762762E-03  9.4513922E-05  2.1159774E-05  0.0000000E+00  2.5381572E-03
  0.0000000E+00  2.1935140E-05  9.1615136E-05  1.0000000E-06  3.4560931E-04  2.2757747E-04  7.1158373E-03  2.2505788E-02  8.8758610E-02  1.3269636E-03  9.0217183E-05  2.1678447E-05  0.0000000E+00  2.5451040E-03
  0.0000000E+00  2.2258204E-05  8.7575886E-05  1.0000000E-06  3.2471058E-04  2.1616657E-04  6.4062777E-03  2.1297239E-02  8.4241790E-02  1.2806906E-03  8.6235260E-05  2.1988381E-05  0.0000000E+00  2.5520707E-03
  0.0000000E+00  2.2388503E-05  8.3761710E-05  1.0000000E-06  3.0598126E-04  2.0569844E-04  5.7959303E-03  2.0196389E-02  8.0110363E-02  1.2371726E-03  8.2477562E-05  2.2109970E-05  0.0000000E+00  2.5590570E-03
  0.0000000E+00  2.2396381E-05  8.0209542E-05  1.0000000E-06  2.8895872E-04  1.9639740E-04  5.2681541E-03  1.9189981E-02  7.6318326E-02  1.1962144E-03  7.8977443E-05  2.2113368E-05  0.0000000E+00  2.5660631E-03
  0.0000000E+00  2.2285720E-05  7.6856153E-05  1.0000000E-06  2.7388062E-04  1.8797900E-04  4.8086102E-03  1.8266738E-02  7.2826577E-02  1.1575846E-03  7.5675338E-05  2.2000079E-05  0.0000000E+00  2.5730896E-03
  0.0000000E+00  2.2107159E-05  7.3726503E-05  1.0000000E-06  2.6006686E-04  1.8018494E-04  4.4068243E-03  1.7417154E-02  6.9601792E-02  1.1211227E-03  7.2594558E-05  2.1822308E-05  0.0000000E+00  2.5801357E-03
  0.0000000E+00  2.1867509E-05  7.0785753E-05  1.0000000E-06  2.4745527E-04  1.7294259E-04  4.0535664E-03  1.6633051E-02  6.6615337E-02  1.0866499E-03  6.9700537E-05  2.1584531E-05  0.0000000E+00  2.5872021E-03
  0.0000000E+00  2.1567822E-05  6.8005031E-05  1.0000000E-06  2.3581211E-04  1.6618893E-04  3.7411033E-03  1.5907397E-02  6.3842470E-02  1.0540051E-03  6.6963417E-05  2.1288682E-05  0.0000000E+00  2.5942886E-03
  0.0000000E+00  2.1247500E-05  6.5403294E-05  1.0000000E-06  2.2505247E-04  1.5989294E-04  3.4641089E-03  1.5234167E-02  6.1261780E-02  1.0232049E-03  6.4402134E-05  2.0971031E-05  0.0000000E+00  2.6013960E-03
  0.0000000E+00  2.0901654E-05  6.2953496E-05  1.0000000E-06  2.1507543E-04  1.5400431E-04  3.2172802E-03  1.4608081E-02  5.8854553E-02  9.9400511E-04  6.1992743E-05  2.0631285E-05  0.0000000E+00  2.6085240E-03
  0.0000000E+00  2.0526072E-05  6.0629200E-05  1.0000000E-06  2.0579675E-04  1.4847857E-04  2.9960748E-03  1.4024529E-02  5.6604402E-02  9.6624152E-04  5.9706243E-05  2.0260897E-05  0.0000000E+00  2.6156726E-03
  0.0000000E+00  2.0151031E-05  5.8448729E-05  1.0000000E-06  1.9716357E-04  1.4329722E-04  2.7977197E-03  1.3479515E-02  5.4496957E-02  9.3983206E-04  5.7560099E-05  1.9890947E-05  0.0000000E+00  2.6228423E-03
  0.0000000E+00  1.9769209E-05  5.6388957E-05  1.0000000E-06  1.8910774E-04  1.3842480E-04  2.6189696E-03  1.2969485E-02  5.2519493E-02  9.1467655E-04  5.5533022E-05  1.9514336E-05  0.0000000E+00  2.6300330E-03
  0.0000000E+00  1.9384008E-05  5.4441303E-05  1.0000000E-06  1.8157746E-04  1.3383483E-04  2.4573508E-03  1.2491315E-02  5.0660748E-02  8.9069080E-04  5.3617433E-05  1.9135148E-05  0.0000000E+00  2.6372450E-03
  3.0038776E-10  1.8986612E-05  5.2585264E-05  1.0000000E-06  1.7451783E-04  1.2949851E-04  2.3103555E-03  1.2042219E-02  4.8910696E-02  8.6779012E-04  5.1791860E-05  1.8743734E-05  3.0038707E-10  2.6444784E-03
  5.9804284E-07  1.8587063E-05  5.0799685E-05  1.0000000E-06  1.6763585E-04  1.2540571E-04  2.1707313E-03  1.1612714E-02  4.7232265E-02  8.4572984E-04  5.0035051E-05  1.8350491E-05  5.9698202E-07  2.6516011E-03
  9.5521888E-07  1.8210768E-05  4.9159346E-05  1.0000000E-06  1.6148534E-04  1.2162752E-04  2.0470851E-03  1.1217939E-02  4.5686169E-02  8.2499370E-04  4.8420400E-05  1.7980504E-05  9.5054152E-07  2.6585058E-03
  1.2703560E-06  1.7837440E-05  4.7596323E-05  1.0000000E-06  1.5572640E-04  1.1807632E-04  1.9338984E-03  1.0844364E-02  4.4219865E-02  8.0509176E-04  4.6883114E-05  1.7612816E-05  1.2630029E-06  2.6654357E-03
  1.5496092E-06  1.7469164E-05  4.6106936E-05  1.0000000E-06  1.5035051E-04  1.1469642E-04  1.8300426E-03  1.0490433E-02  4.2827679E-02  7.8597744E-04  4.5418523E-05  1.7250299E-05  1.5398439E-06  2.6723913E-03
  1.7925464E-06  1.7094859E-05  4.4675469E-05  1.0000000E-06  1.4525673E-04  1.1147105E-04  1.7341056E-03  1.0154721E-02  4.1504436E-02  7.6760107E-04  4.4009826E-05  1.6881550E-05  1.7810000E-06  2.6793726E-03
  2.0102401E-06  1.6736895E-05  4.3320159E-05  1.0000000E-06  1.4043738E-04  1.0843598E-04  1.6460321E-03  9.8359681E-03  4.0245458E-02  7.4993655E-04  4.2676194E-05  1.6529345E-05  1.9960983E-06  2.6863800E-03
  2.2019159E-06  1.6386045E-05  4.2025969E-05  1.0000000E-06  1.3587130E-04  1.0563276E-04  1.5646869E-03  9.5329931E-03  3.9046436E-02  7.3293934E-04  4.1402984E-05  1.6185627E-05  2.1868065E-06  2.6934138E-03
  2.3712888E-06  1.6042653E-05  4.0790165E-05  1.0000000E-06  1.3160157E-04  1.0295490E-04  1.4894065E-03  9.2447279E-03  3.7903438E-02  7.1657436E-04  4.0186725E-05  1.5851754E-05  2.3546606E-06  2.7004739E-03
  2.5205351E-06  1.5710605E-05  3.9608341E-05  1.0000000E-06  1.2754125E-04  1.0039100E-04  1.4196060E-03  8.9701733E-03  3.6812772E-02  7.0080885E-04  3.9024185E-05  1.5525015E-05  2.5029031E-06  2.7075609E-03
  2.6519613E-06  1.5386611E-05  3.8478060E-05  1.0000000E-06  1.2367782E-04  9.7935111E-05  1.3547680E-03  8.7084821E-03  3.5771298E-02  6.8561361E-04  3.7912583E-05  1.5205530E-05  2.6333724E-06  2.7146748E-03
  2.7605235E-06  1.5059171E-05  3.7385490E-05  1.0000000E-06  1.2005302E-04  9.5575283E-05  1.2939878E-03  8.4588193E-03  3.4775955E-02  6.7095226E-04  3.6836861E-05  1.4882920E-05  2.7411945E-06  2.7218160E-03
  2.8608483E-06  1.4749094E-05  3.6348569E-05  1.0000000E-06  1.1663901E-04  9.3326955E-05  1.2377092E-03  8.2204082E-03  3.3823796E-02  6.5681164E-04  3.5816991E-05  1.4577419E-05  2.8409322E-06  2.7289846E-03
  2.9484309E-06  1.4446690E-05  3.5355407E-05  1.0000000E-06  1.1340638E-04  9.1214883E-05  1.1851625E-03  7.9925660E-03  3.2912303E-02  6.4315994E-04  3.4839529E-05  1.4279565E-05  2.9277918E-06  2.7361808E-03
  3.0246951E-06  1.4152064E-05  3.4403207E-05  1.0000000E-06  1.1036807E-04  8.9225896E-05  1.1360236E-03  7.7746518E-03  3.2039086E-02  6.2997382E-04  3.3902373E-05  1.3989007E-05  3.0036422E-06  2.7434052E-03
  3.0902680E-06  1.3864784E-05  3.3489418E-05  1.0000000E-06  1.0746083E-04  8.7344054E-05  1.0900029E-03  7.5660748E-03  3.1201930E-02  6.1723153E-04  3.3003660E-05  1.3705979E-05  3.0691631E-06  2.7506578E-03
  3.1469244E-06  1.3585090E-05  3.2613021E-05  1.0000000E-06  1.0467711E-04  8.5530604E-05  1.0468403E-03  7.3662872E-03  3.0398784E-02  6.0491139E-04  3.2140632E-05  1.3429961E-05  3.1253861E-06  2.7579388E-03
  3.1953092E-06  1.3312648E-05  3.1771015E-05  1.0000000E-06  1.0205458E-04  8.3781438E-05  1.0063023E-03  7.1747831E-03  2.9627746E-02  5.9299483E-04  3.1312263E-05  1.3161461E-05  3.1736254E-06  2.7652486E-03
  3.2275628E-06  1.3036899E-05  3.0950748E-05  1.0000000E-06  9.9681691E-05  8.2089195E-05  9.6772061E-04  6.9910813E-03  2.8887037E-02  5.8145567E-04  3.0504812E-05  1.2889667E-05  3.2056374E-06  2.7725873E-03
  3.2610904E-06  1.2778094E-05  3.0172321E-05  1.0000000E-06  9.7435152E-05  8.0459650E-05  9.3178696E-04  6.8147674E-03  2.8175034E-02  5.7029068E-04  2.9738599E-05  1.2634530E-05  3.2392057E-06  2.7799555E-03
  3.2884294E-06  1.2526351E-05  2.9423778E-05  1.0000000E-06  9.5317117E-05  7.8885703E-05  8.9790502E-04  6.6454269E-03  2.7490196E-02  5.5947697E-04  2.9002018E-05  1.2386026E-05  3.2665626E-06  2.7873532E-03
  3.3106044E-06  1.2281087E-05  2.8703193E-05  1.0000000E-06  9.3275844E-05  7.7364446E-05  8.6591941E-04  6.4826814E-03  2.6831095E-02  5.4899924E-04  2.8292261E-05  1.2144216E-05  3.2885067E-06  2.7947806E-03
  3.3278951E-06  1.2042621E-05  2.8009315E-05  1.0000000E-06  9.1308307E-05  7.5893400E-05  8.3568927E-04  6.3261803E-03  2.6196400E-02  5.3884234E-04  2.7609440E-05  1.1908807E-05  3.3056480E-06  2.8022384E-03
  3.3404401E-06  1.1810381E-05  2.7340687E-05  1.0000000E-06  8.9410550E-05  7.4470185E-05  8.0708653E-04  6.1755964E-03  2.5584864E-02  5.2899339E-04  2.6951818E-05  1.1680184E-05  3.3188435E-06  2.8097266E-03
  0.0000000E+00  0.0000000E+00  5.4947499E-10  1.0000000E-06  8.6553324E-04  5.1907868E-04  4.2833728E-02  5.2006316E-02  1.9896955E-01  2.3464042E-03  5.4760625E-10  5.1000000E-09  0.0000000E+00  2.3632453E-03
  0.0000000E+00  0.0000000E+00  1.2639050E-04  1.0000000E-06  7.3431938E-04  4.4835694E-04  3.2315840E-02  4.5413117E-02  1.7546214E-01  2.1894442E-03  1.2571874E-04  5.6000000E-09  0.0000000E+00  2.3688438E-03
  0.0000000E+00  0.0000000E+00  1.1813807E-04  1.0000000E-06  6.4069884E-04  3.9839592E-04  2.5737963E-02  4.0494978E-02  1.5767867E-01  2.0591541E-03  1.1710573E-04  4.8000000E-09  0.0000000E+00  2.3743226E-03
  0.0000000E+00  0.0000000E+00  1.1088998E-04  1.0000000E-06  5.6660272E-04  3.5816111E-04  2.0879371E-02  3.6476749E-02  1.4301029E-01  1.9425574E-03  1.0967293E-04  3.6000000E-09  0.0000000E+00  2.3798150E-03
  0.0000000E+00  0.0000000E+00  1.0435683E-04  1.0000000E-06  5.0693338E-04  3.2524371E-04  1.7215361E-02  3.3136438E-02  1.3071174E-01  1.8377524E-03  1.0305587E-04  4.6000000E-09  0.0000000E+00  2.3853214E-03
  0.0000000E+00  0.0000000E+00  9.8385611E-05  1.0000000E-06  4.5723952E-04  2.9749223E-04  1.4398883E-02  3.0318384E-02  1.2025527E-01  1.7431182E-03  9.7056590E-05  3.8000000E-09  0.0000000E+00  2.3908417E-03
  0.0000000E+00  2.1388901E-10  9.2902522E-05  1.0000000E-06  4.1525452E-04  2.7385101E-04  1.2196220E-02  2.7910639E-02  1.1125783E-01  1.6573358E-03  9.1580706E-05  2.1386152E-10  0.0000000E+00  2.3963761E-03
  0.0000000E+00  1.1452196E-05  8.7533505E-05  1.0000000E-06  3.7841442E-04  2.5433337E-04  1.0338037E-02  2.5768034E-02  1.0320198E-01  1.5768386E-03  8.6246040E-05  1.1429529E-05  0.0000000E+00  2.4019014E-03
  0.0000000E+00  1.3062411E-05  8.3014914E-05  1.0000000E-06  3.4919105E-04  2.3812881E-04  8.9676489E-03  2.3992493E-02  9.6481106E-02  1.5068390E-03  8.1780041E-05  1.2980016E-05  0.0000000E+00  2.4073865E-03
  0.0000000E+00  1.4232746E-05  7.8814977E-05  1.0000000E-06  3.2364751E-04  2.2362954E-04  7.8417362E-03  2.2417606E-02  9.0487470E-02  1.4421072E-03  7.7624388E-05  1.4107158E-05  0.0000000E+00  2.4128864E-03
  0.0000000E+00  1.5039246E-05  7.4861993E-05  1.0000000E-06  3.0098620E-04  2.1056895E-04  6.9076796E-03  2.1012313E-02  8.5112222E-02  1.3820825E-03  7.3717291E-05  1.4882343E-05  0.0000000E+00  2.4184014E-03
  0.0000000E+00  1.5582306E-05  7.1213480E-05  1.0000000E-06  2.8122861E-04  1.9945391E-04  6.1259736E-03  1.9751642E-02  8.0267052E-02  1.3263443E-03  7.0117042E-05  1.5404617E-05  0.0000000E+00  2.4239317E-03
  0.0000000E+00  1.5905683E-05  6.7785957E-05  1.0000000E-06  2.6377694E-04  1.8935545E-04  5.4662027E-03  1.8615093E-02  7.5879377E-02  1.2744334E-03  6.6734326E-05  1.5713307E-05  0.0000000E+00  2.4294769E-03
  0.0000000E+00  1.6082889E-05  6.4617331E-05  1.0000000E-06  2.4805680E-04  1.8013132E-04  4.9054373E-03  1.7585912E-02  7.1889235E-02  1.2260672E-03  6.3612111E-05  1.5880829E-05  0.0000000E+00  2.4350378E-03
  0.0000000E+00  1.6125552E-05  6.1641804E-05  1.0000000E-06  2.3381100E-04  1.7165573E-04  4.4250949E-03  1.6650085E-02  6.8246500E-02  1.1810661E-03  6.0678847E-05  1.5917327E-05  0.0000000E+00  2.4406141E-03
  0.0000000E+00  1.6101993E-05  5.8883876E-05  1.0000000E-06  2.2087439E-04  1.6386211E-04  4.0113692E-03  1.5795977E-02  6.4909106E-02  1.1389140E-03  5.7963154E-05  1.5898298E-05  0.0000000E+00  2.4462059E-03
  0.0000000E+00  1.6002812E-05  5.6291932E-05  1.0000000E-06  2.0906284E-04  1.5665791E-04  3.6524215E-03  1.5013710E-02  6.1841377E-02  1.0993374E-03  5.5410853E-05  1.5797424E-05  0.0000000E+00  2.4518137E-03
  0.0000000E+00  1.5858478E-05  5.3883952E-05  1.0000000E-06  1.9826279E-04  1.4999538E-04  3.3396605E-03  1.4294967E-02  5.9012971E-02  1.0621360E-03  5.3040482E-05  1.5652786E-05  0.0000000E+00  2.4574370E-03
  0.0000000E+00  1.5671011E-05  5.1630192E-05  1.0000000E-06  1.8834739E-04  1.4383571E-04  3.0655402E-03  1.3632611E-02  5.6397845E-02  1.0271013E-03  5.0821942E-05  1.5466335E-05  0.0000000E+00  2.4630761E-03
  0.0000000E+00  1.5439421E-05  4.9504891E-05  1.0000000E-06  1.7928003E-04  1.3823722E-04  2.8237609E-03  1.3020511E-02  5.3973551E-02  9.9404742E-04  4.8730080E-05  1.5239342E-05  0.0000000E+00  2.4687312E-03
  0.0000000E+00  1.5196670E-05  4.7523674E-05  1.0000000E-06  1.7104630E-04  1.3314041E-04  2.6100291E-03  1.2453417E-02  5.1720685E-02  9.6283194E-04  4.6781004E-05  1.4998997E-05  0.0000000E+00  2.4744023E-03
  0.0000000E+00  1.4936122E-05  4.5663961E-05  1.0000000E-06  1.6367298E-04  1.2849887E-04  2.4200583E-03  1.1926740E-02  4.9622318E-02  9.3330488E-04  4.4950962E-05  1.4741758E-05  0.0000000E+00  2.4800897E-03
  0.0000000E+00  1.4654430E-05  4.3903441E-05  1.0000000E-06  1.5681136E-04  1.2419765E-04  2.2501846E-03  1.1436483E-02  4.7663647E-02  9.0532813E-04  4.3218805E-05  1.4464079E-05  0.0000000E+00  2.4857934E-03
  0.0000000E+00  1.4374055E-05  4.2256663E-05  1.0000000E-06  1.5042290E-04  1.2020915E-04  2.0982164E-03  1.0979178E-02  4.5831709E-02  8.7880127E-04  4.1599132E-05  1.4188318E-05  0.0000000E+00  2.4915135E-03
  0.0000000E+00  1.4090123E-05  4.0705300E-05  1.0000000E-06  1.4445781E-04  1.1648524E-04  1.9615516E-03  1.0551750E-02  4.4115044E-02  8.5361180E-04  4.0072622E-05  1.3908717E-05  0.0000000E+00  2.4972500E-03
  0.0000000E+00  1.3804464E-05  3.9241554E-05  1.0000000E-06  1.3902530E-04  1.1297944E-04  1.8382235E-03  1.0151495E-02  4.2503523E-02  8.2966374E-04  3.8633234E-05  1.3627273E-05  0.0000000E+00  2.5030035E-03
  3.0027813E-10  1.3510187E-05  3.7853848E-05  1.0000000E-06  1.3401463E-04  1.0965296E-04  1.7262250E-03  9.7760102E-03  4.0988142E-02  8.0686405E-04  3.7287195E-05  1.3337334E-05  3.0027746E-10  2.5087736E-03
  4.2904045E-07  1.3215918E-05  3.6548826E-05  1.0000000E-06  1.2914633E-04  1.0647099E-04  1.6201367E-03  9.4173057E-03  3.9536509E-02  7.8493595E-04  3.6003420E-05  1.3047612E-05  4.2801208E-07  2.5144350E-03
  6.7849548E-07  1.2938582E-05  3.5349700E-05  1.0000000E-06  1.2478792E-04  1.0350188E-04  1.5263633E-03  9.0879763E-03  3.8201002E-02  7.6439825E-04  3.4823682E-05  1.2774601E-05  6.7504508E-07  2.5198855E-03
  8.9886661E-07  1.2664331E-05  3.4208211E-05  1.0000000E-06  1.2066166E-04  1.0066956E-04  1.4406454E-03  8.7766613E-03  3.6935876E-02  7.4473485E-04  3.3701294E-05  1.2504843E-05  8.9336388E-07  2.5253558E-03
  1.0935242E-06  1.2394093E-05  3.3122226E-05  1.0000000E-06  1.1675040E-04  9.7965166E-05  1.3620999E-03  8.4820190E-03  3.5736046E-02  7.2589489E-04  3.2632378E-05  1.2238580E-05  1.0862215E-06  2.5308458E-03
  1.2623190E-06  1.2118851E-05  3.2076905E-05  1.0000000E-06  1.1322354E-04  9.5376731E-05  1.2895980E-03  8.2028254E-03  3.4596887E-02  7.0782449E-04  3.1604423E-05  1.1967821E-05  1.2536122E-06  2.5363558E-03
  1.4130874E-06  1.1857185E-05  3.1088939E-05  1.0000000E-06  1.1000023E-04  9.2904222E-05  1.2231476E-03  7.9379963E-03  3.3514218E-02  6.9049091E-04  3.0632567E-05  1.1710338E-05  1.4030866E-06  2.5418860E-03
  1.5460861E-06  1.1601116E-05  3.0146325E-05  1.0000000E-06  1.0700797E-04  9.0554287E-05  1.1618418E-03  7.6865180E-03  3.2484192E-02  6.7384797E-04  2.9705225E-05  1.1457716E-05  1.5348809E-06  2.5474368E-03
  1.6631843E-06  1.1350305E-05  2.9246252E-05  1.0000000E-06  1.0417822E-04  8.8390035E-05  1.1051659E-03  7.4474754E-03  3.1503304E-02  6.5785791E-04  2.8819854E-05  1.1211063E-05  1.6512141E-06  2.5530078E-03
  1.7665226E-06  1.1105249E-05  2.8386267E-05  1.0000000E-06  1.0147363E-04  8.6312699E-05  1.0526672E-03  7.2200316E-03  3.0568343E-02  6.4248454E-04  2.7973604E-05  1.0969776E-05  1.7534573E-06  2.5585997E-03
  1.8568509E-06  1.0866048E-05  2.7564357E-05  1.0000000E-06  9.8913367E-05  8.4317593E-05  1.0039462E-03  7.0034209E-03  2.9676366E-02  6.2769486E-04  2.7164680E-05  1.0734673E-05  1.8436459E-06  2.5642124E-03
  1.9305589E-06  1.0624425E-05  2.6769078E-05  1.0000000E-06  9.6457485E-05  8.2406784E-05  9.5827321E-04  6.7969316E-03  2.8824654E-02  6.1345280E-04  2.6382224E-05  1.0496015E-05  1.9165213E-06  2.5698465E-03
  1.9993061E-06  1.0396695E-05  2.6015955E-05  1.0000000E-06  9.4107735E-05  8.0588071E-05  9.1605205E-04  6.5999381E-03  2.8010739E-02  5.9974078E-04  2.5640674E-05  1.0271608E-05  1.9847307E-06  2.5755015E-03
  2.0589620E-06  1.0175178E-05  2.5294530E-05  1.0000000E-06  9.1853906E-05  7.8837401E-05  8.7666099E-04  6.4118378E-03  2.7232313E-02  5.8652681E-04  2.4931068E-05  1.0053417E-05  2.0439809E-06  2.5811783E-03
  2.1107227E-06  9.9595318E-06  2.4603260E-05  1.0000000E-06  8.9737850E-05  7.7153777E-05  8.3985152E-04  6.2320848E-03  2.6487258E-02  5.7378531E-04  2.4250770E-05  9.8408204E-06  2.0954833E-06  2.5868766E-03
  2.1553952E-06  9.7496288E-06  2.3940491E-05  1.0000000E-06  8.7708058E-05  7.5579131E-05  8.0540162E-04  6.0601750E-03  2.5773615E-02  5.6149318E-04  2.3598409E-05  9.6339953E-06  2.1397779E-06  2.5925968E-03
  2.1935223E-06  9.5454567E-06  2.3304499E-05  1.0000000E-06  8.5792720E-05  7.4098531E-05  7.7311248E-04  5.8956431E-03  2.5089571E-02  5.4962840E-04  2.2972520E-05  9.4328956E-06  2.1779101E-06  2.5983392E-03
  2.2259142E-06  9.3471649E-06  2.2693981E-05  1.0000000E-06  8.3961146E-05  7.2678267E-05  7.4280570E-04  5.7380575E-03  2.4433444E-02  5.3817007E-04  2.2371743E-05  9.2374762E-06  2.2102248E-06  2.6041036E-03
  2.2461360E-06  9.1455125E-06  2.2098943E-05  1.0000000E-06  8.2192451E-05  7.1300336E-05  7.1393456E-04  5.5870103E-03  2.3803665E-02  5.2709301E-04  2.1785923E-05  9.0384486E-06  2.2302268E-06  2.6098907E-03
  2.2682742E-06  8.9572683E-06  2.1535089E-05  1.0000000E-06  8.0502979E-05  6.9969383E-05  6.8709797E-04  5.4421493E-03  2.3198802E-02  5.1639064E-04  2.1231025E-05  8.8531231E-06  2.2522989E-06  2.6157004E-03
  2.2859553E-06  8.7742780E-06  2.0992791E-05  1.0000000E-06  7.8883022E-05  6.8686692E-05  6.6180706E-04  5.3031224E-03  2.2617498E-02  5.0604047E-04  2.0697214E-05  8.6727765E-06  2.2701026E-06  2.6215330E-03
  2.3002432E-06  8.5966974E-06  2.0471110E-05  1.0000000E-06  7.7324948E-05  6.7454770E-05  6.3794381E-04  5.1696092E-03  2.2058496E-02  4.9602610E-04  2.0183902E-05  8.4976919E-06  2.2843293E-06  2.6273887E-03
  2.3111287E-06  8.4240702E-06  1.9969384E-05  1.0000000E-06  7.5818258E-05  6.6260212E-05  6.1540122E-04  5.0413129E-03  2.1520624E-02  4.8633251E-04  1.9689488E-05  8.3272641E-06  2.2950795E-06  2.6332678E-03
  2.3188386E-06  8.2561410E-06  1.9485939E-05  1.0000000E-06  7.4360633E-05  6.5100990E-05  5.9408213E-04  4.9179558E-03  2.1002788E-02  4.7694544E-04  1.9213808E-05  8.1619758E-06  2.3030488E-06  2.6391704E-03
  0.0000000E+00  0.0000000E+00  4.7195586E-10  1.0000000E-06  6.6402992E-04  4.3329775E-04  3.5265603E-02  4.4029348E-02  1.7452011E-01  2.3901526E-03  4.7052572E-10  3.1000000E-09  0.0000000E+00  2.2604042E-03
  0.0000000E+00  0.0000000E+00  9.8345445E-05  1.0000000E-06  5.6091699E-04  3.7457717E-04  2.6239684E-02  3.8290262E-02  1.5318210E-01  2.2067918E-03  9.7828031E-05  4.1000000E-09  0.0000000E+00  2.2645853E-03
  0.0000000E+00  0.0000000E+00  9.0701548E-05  1.0000000E-06  4.8717899E-04  3.3204969E-04  2.0652303E-02  3.4019942E-02  1.3712837E-01  2.0564975E-03  8.9914022E-05  3.0000000E-09  0.0000000E+00  2.2689250E-03
  0.0000000E+00  0.0000000E+00  8.4244443E-05  1.0000000E-06  4.2905819E-04  2.9805816E-04  1.6577060E-02  3.0543474E-02  1.2393795E-01  1.9247122E-03  8.3321855E-05  2.1000000E-09  0.0000000E+00  2.2732748E-03
  0.0000000E+00  0.0000000E+00  7.8611883E-05  1.0000000E-06  3.8319717E-04  2.7146995E-04  1.3538781E-02  2.7663025E-02  1.1291791E-01  1.8082361E-03  7.7626881E-05  2.3000000E-09  0.0000000E+00  2.2776355E-03
  0.0000000E+00  0.0000000E+00  7.3632775E-05  1.0000000E-06  3.4509366E-04  2.4890350E-04  1.1231506E-02  2.5240304E-02  1.0357925E-01  1.7045562E-03  7.2643910E-05  2.3000000E-09  0.0000000E+00  2.2820070E-03
  0.0000000E+00  3.1028372E-10  6.9178580E-05  1.0000000E-06  3.1322632E-04  2.2983580E-04  9.4746771E-03  2.3176166E-02  9.5568133E-02  1.6116788E-03  6.8194399E-05  3.1026295E-10  0.0000000E+00  2.2863894E-03
  0.0000000E+00  8.4796026E-06  6.4885791E-05  1.0000000E-06  2.8547356E-04  2.1317511E-04  7.9935871E-03  2.1344084E-02  8.8415393E-02  1.5254576E-03  6.3928101E-05  8.4624733E-06  0.0000000E+00  2.2907606E-03
  0.0000000E+00  9.5591533E-06  6.1277850E-05  1.0000000E-06  2.6374936E-04  2.0005980E-04  6.8984963E-03  1.9829775E-02  8.2464685E-02  1.4513066E-03  6.0353380E-05  9.4979948E-06  0.0000000E+00  2.2950909E-03
  0.0000000E+00  1.0329731E-05  5.7950769E-05  1.0000000E-06  2.4462885E-04  1.8830001E-04  6.0045596E-03  1.8489643E-02  7.7170906E-02  1.3835983E-03  5.7062469E-05  1.0238466E-05  0.0000000E+00  2.2994326E-03
  0.0000000E+00  1.0891655E-05  5.4845339E-05  1.0000000E-06  2.2784916E-04  1.7776458E-04  5.2673196E-03  1.7296393E-02  7.2434367E-02  1.3212517E-03  5.3990948E-05  1.0778882E-05  0.0000000E+00  2.3037861E-03
  0.0000000E+00  1.1268139E-05  5.2004079E-05  1.0000000E-06  2.1345656E-04  1.6870332E-04  4.6536796E-03  1.6228132E-02  6.8174370E-02  1.2637145E-03  5.1186882E-05  1.1139417E-05  0.0000000E+00  2.3081512E-03
  0.0000000E+00  1.1483834E-05  4.9349514E-05  1.0000000E-06  2.0121388E-04  1.6091367E-04  4.1383208E-03  1.5266923E-02  6.4324759E-02  1.2104314E-03  4.8568854E-05  1.1345023E-05  0.0000000E+00  2.3125281E-03
  0.0000000E+00  1.1596634E-05  4.6924627E-05  1.0000000E-06  1.9024190E-04  1.5374738E-04  3.7023254E-03  1.4398134E-02  6.0830990E-02  1.1609945E-03  4.6203745E-05  1.1451132E-05  0.0000000E+00  2.3169170E-03
  0.0000000E+00  1.1611247E-05  4.4730711E-05  1.0000000E-06  1.8024125E-04  1.4711853E-04  3.3304106E-03  1.3609553E-02  5.7647564E-02  1.1149887E-03  4.4041859E-05  1.1462579E-05  0.0000000E+00  2.3213178E-03
  0.0000000E+00  1.1571614E-05  4.2703491E-05  1.0000000E-06  1.7110820E-04  1.4099307E-04  3.0113475E-03  1.2891064E-02  5.4736373E-02  1.0721045E-03  4.2044946E-05  1.1419979E-05  0.0000000E+00  2.3257306E-03
  0.0000000E+00  1.1471120E-05  4.0796677E-05  1.0000000E-06  1.6273365E-04  1.3540238E-04  2.7354948E-03  1.2234081E-02  5.2065162E-02  1.0320255E-03  4.0167389E-05  1.1319103E-05  0.0000000E+00  2.3301557E-03
  0.0000000E+00  1.1342370E-05  3.9028329E-05  1.0000000E-06  1.5511103E-04  1.3019709E-04  2.4959592E-03  1.1631400E-02  4.9606551E-02  9.9451065E-04  3.8425734E-05  1.1191217E-05  0.0000000E+00  2.3345929E-03
  0.0000000E+00  1.1185992E-05  3.7374816E-05  1.0000000E-06  1.4813926E-04  1.2533471E-04  2.2866645E-03  1.1076842E-02  4.7337075E-02  9.5932266E-04  3.6798596E-05  1.1036530E-05  0.0000000E+00  2.3390423E-03
  0.0000000E+00  1.0999053E-05  3.5814112E-05  1.0000000E-06  1.4167874E-04  1.2077828E-04  2.1025486E-03  1.0565107E-02  4.5236548E-02  9.2624844E-04  3.5264318E-05  1.0852106E-05  0.0000000E+00  2.3435041E-03
  0.0000000E+00  1.0806933E-05  3.4362370E-05  1.0000000E-06  1.3568934E-04  1.1650986E-04  1.9402472E-03  1.0091669E-02  4.3287551E-02  8.9512425E-04  3.3835328E-05  1.0661877E-05  0.0000000E+00  2.3479784E-03
  0.0000000E+00  1.0604857E-05  3.3000409E-05  1.0000000E-06  1.3039382E-04  1.1260147E-04  1.7963407E-03  9.6525732E-03  4.1474905E-02  8.6578225E-04  3.2494615E-05  1.0462085E-05  0.0000000E+00  2.3524652E-03
  0.0000000E+00  1.0387201E-05  3.1710612E-05  1.0000000E-06  1.2584487E-04  1.0895463E-04  1.6679079E-03  9.2443783E-03  3.9785363E-02  8.3807107E-04  3.1225684E-05  1.0247613E-05  0.0000000E+00  2.3569647E-03
  0.0000000E+00  1.0173424E-05  3.0505670E-05  1.0000000E-06  1.2157310E-04  1.0552930E-04  1.5532821E-03  8.8641080E-03  3.8207339E-02  8.1187490E-04  3.0040253E-05  1.0037672E-05  0.0000000E+00  2.3614767E-03
  0.0000000E+00  9.9584889E-06  2.9371413E-05  1.0000000E-06  1.1755091E-04  1.0230618E-04  1.4503987E-03  8.5091224E-03  3.6730608E-02  7.8707117E-04  2.8924573E-05  9.8259199E-06  0.0000000E+00  2.3660017E-03
  0.0000000E+00  9.7440723E-06  2.8301703E-05  1.0000000E-06  1.1375681E-04  9.9251430E-05  1.3577221E-03  8.1771051E-03  3.5346143E-02  7.6355564E-04  2.7872533E-05  9.6149500E-06  0.0000000E+00  2.3705395E-03
  6.0019833E-10  9.5226659E-06  2.7283629E-05  1.0000000E-06  1.1017264E-04  9.6348762E-05  1.2736555E-03  7.8659972E-03  3.4045930E-02  7.4122719E-04  2.6870322E-05  9.3964740E-06  6.0019784E-10  2.3750902E-03
  3.0632357E-07  9.3036670E-06  2.6308392E-05  1.0000000E-06  1.0684516E-04  9.3683627E-05  1.1942483E-03  7.5691332E-03  3.2801923E-02  7.1978832E-04  2.5911374E-05  9.1810699E-06  3.0557171E-07  2.3795353E-03
  4.8009572E-07  9.0979169E-06  2.5414003E-05  1.0000000E-06  1.0389849E-04  9.1322095E-05  1.1241780E-03  7.2968905E-03  3.1658889E-02  6.9977404E-04  2.5031539E-05  8.9786306E-06  4.7768726E-07  2.3837772E-03
  6.3300384E-07  8.8955407E-06  2.4564378E-05  1.0000000E-06  1.0108726E-04  8.9058695E-05  1.0602093E-03  7.0398138E-03  3.0577354E-02  6.8065710E-04  2.4195555E-05  8.7792725E-06  6.2922814E-07  2.3880341E-03
  7.6785181E-07  8.6963508E-06  2.3756386E-05  1.0000000E-06  9.8402401E-05  8.6887425E-05  1.0016636E-03  6.7967608E-03  2.9552812E-02  6.6238190E-04  2.3401411E-05  8.5833666E-06  7.6275179E-07  2.3923061E-03
  8.8386383E-07  8.4927696E-06  2.2979635E-05  1.0000000E-06  9.5832301E-05  8.4800180E-05  9.4763479E-04  6.5666862E-03  2.8581166E-02  6.4489117E-04  2.2637211E-05  8.3832397E-06  8.7765715E-07  2.3965932E-03
  9.8774261E-07  8.3010753E-06  2.2247566E-05  1.0000000E-06  9.3376641E-05  8.2798427E-05  8.9820616E-04  6.3486680E-03  2.7658708E-02  6.2814940E-04  2.1916773E-05  8.1941428E-06  9.8050537E-07  2.4008959E-03
  1.0790110E-06  8.1135338E-06  2.1549828E-05  1.0000000E-06  9.1024925E-05  8.0874089E-05  8.5264811E-04  6.1418438E-03  2.6782044E-02  6.1210749E-04  2.1230364E-05  8.0099309E-06  1.0712827E-06  2.4052141E-03
  1.1590436E-06  7.9306732E-06  2.0884786E-05  1.0000000E-06  8.8771060E-05  7.9023460E-05  8.1056864E-04  5.9454357E-03  2.5948077E-02  5.9672504E-04  2.0576303E-05  7.8299765E-06  1.1507617E-06  2.4095479E-03
  1.2293997E-06  7.7525552E-06  2.0250386E-05  1.0000000E-06  8.6648148E-05  7.7243615E-05  7.7162351E-04  5.7587173E-03  2.5153911E-02  5.8196334E-04  1.9952131E-05  7.6545626E-06  1.2205712E-06  2.4138974E-03
  1.2910982E-06  7.5790443E-06  1.9644654E-05  1.0000000E-06  8.4634355E-05  7.5583815E-05  7.3550927E-04  5.5810713E-03  2.4397078E-02  5.6778986E-04  1.9356223E-05  7.4837950E-06  1.2816755E-06  2.4182628E-03
  1.3399390E-06  7.4022992E-06  1.9058106E-05  1.0000000E-06  8.2694497E-05  7.3985676E-05  7.0162781E-04  5.4118943E-03  2.3675184E-02  5.5416676E-04  1.8779034E-05  7.3097091E-06  1.3301914E-06  2.4226443E-03
  1.3861784E-06  7.2375634E-06  1.8504442E-05  1.0000000E-06  8.0831384E-05  7.2446435E-05  6.7037194E-04  5.2506253E-03  2.2985935E-02  5.4107272E-04  1.8234180E-05  7.1474549E-06  1.3759753E-06  2.4270420E-03
  1.4261656E-06  7.0773764E-06  1.7974662E-05  1.0000000E-06  7.9038203E-05  7.0960179E-05  6.4122988E-04  5.0967709E-03  2.2327366E-02  5.2847573E-04  1.7713209E-05  6.9897107E-06  1.4158881E-06  2.4314562E-03
  1.4606451E-06  6.9219660E-06  1.7468046E-05  1.0000000E-06  7.7310376E-05  6.9524482E-05  6.1401422E-04  4.9498692E-03  2.1697618E-02  5.1634944E-04  1.7214564E-05  6.8365361E-06  1.4501293E-06  2.4358867E-03
  1.4901307E-06  6.7706074E-06  1.6982487E-05  1.0000000E-06  7.5644888E-05  6.8137002E-05  5.8855773E-04  4.8094952E-03  2.1094973E-02  5.0466998E-04  1.6736602E-05  6.6875105E-06  1.4793697E-06  2.4403338E-03
  1.5151183E-06  6.6239276E-06  1.6517153E-05  1.0000000E-06  7.4038564E-05  6.6795204E-05  5.6471086E-04  4.6752559E-03  2.0517844E-02  4.9341418E-04  1.6278887E-05  6.5430142E-06  1.5042984E-06  2.4447979E-03
  1.5362651E-06  6.4814083E-06  1.6071384E-05  1.0000000E-06  7.2539323E-05  6.5497183E-05  5.4233965E-04  4.5467883E-03  1.9964760E-02  4.8256095E-04  1.5839909E-05  6.4026035E-06  1.5254838E-06  2.4492788E-03
  1.5478084E-06  6.3352461E-06  1.5635659E-05  1.0000000E-06  7.1115553E-05  6.4265311E-05  5.2098471E-04  4.4237488E-03  1.9434346E-02  4.7208501E-04  1.5410798E-05  6.2586871E-06  1.5369958E-06  2.4537769E-03
  1.5618564E-06  6.2005462E-06  1.5224236E-05  1.0000000E-06  6.9741352E-05  6.3103905E-05  5.0119011E-04  4.3058406E-03  1.8925354E-02  4.6197819E-04  1.5006306E-05  6.1260210E-06  1.5507851E-06  2.4582920E-03
  1.5728418E-06  6.0697477E-06  1.4829312E-05  1.0000000E-06  6.8410727E-05  6.1977177E-05  4.8254367E-04  4.1927682E-03  1.8436599E-02  4.5221779E-04  1.4617380E-05  5.9969828E-06  1.5618716E-06  2.4628248E-03
  1.5813288E-06  5.9425986E-06  1.4449615E-05  1.0000000E-06  6.7121483E-05  6.0883497E-05  4.6495709E-04  4.0842622E-03  1.7966985E-02  4.4278765E-04  1.4243848E-05  5.8718806E-06  1.5703522E-06  2.4673751E-03
  1.5874855E-06  5.8193550E-06  1.4084627E-05  1.0000000E-06  6.5872337E-05  5.9821555E-05  4.4835040E-04  3.9800736E-03  1.7515491E-02  4.3367184E-04  1.3884614E-05  5.7503106E-06  1.5765496E-06  2.4719431E-03
  1.5917229E-06  5.6997432E-06  1.3733560E-05  1.0000000E-06  6.4661104E-05  5.8790109E-05  4.3265112E-04  3.8799693E-03  1.7081165E-02  4.2485637E-04  1.3539117E-05  5.6323709E-06  1.5807542E-06  2.4765290E-03
  0.0000000E+00  0.0000000E+00  4.0765503E-10  1.0000000E-06  4.9987168E-04  3.6485896E-04  2.8665492E-02  3.6963982E-02  1.5181709E-01  2.3951341E-03  4.0657707E-10  4.2000000E-09  0.0000000E+00  2.1552851E-03
  0.0000000E+00  0.0000000E+00  7.5088996E-05  1.0000000E-06  4.2388884E-04  3.1545264E-04  2.0975355E-02  3.1996353E-02  1.3263065E-01  2.1872383E-03  7.4702007E-05  4.3000000E-09  0.0000000E+00  2.1587461E-03
  0.0000000E+00  0.0000000E+00  6.8325703E-05  1.0000000E-06  3.6820105E-04  2.8065343E-04  1.6300038E-02  2.8325540E-02  1.1826338E-01  2.0208567E-03  6.7732367E-05  5.0000000E-09  0.0000000E+00  2.1621200E-03
  0.0000000E+00  0.0000000E+00  6.2824489E-05  1.0000000E-06  3.2518028E-04  2.5225626E-04  1.2934562E-02  2.5347430E-02  1.0650516E-01  1.8772829E-03  6.2141936E-05  5.5000000E-09  0.0000000E+00  2.1655016E-03
  0.0000000E+00  0.0000000E+00  5.8215407E-05  1.0000000E-06  2.9102209E-04  2.2937551E-04  1.0474728E-02  2.2887762E-02  9.6717287E-02  1.7522213E-03  5.7487109E-05  4.6000000E-09  0.0000000E+00  2.1688915E-03
  0.0000000E+00  0.0000000E+00  5.4184333E-05  1.0000000E-06  2.6453690E-04  2.1224339E-04  8.6499420E-03  2.0825077E-02  8.8450565E-02  1.6427702E-03  5.3446469E-05  5.2000000E-09  0.0000000E+00  2.1722894E-03
  0.0000000E+00  6.0750707E-10  5.0613163E-05  1.0000000E-06  2.4320235E-04  1.9831783E-04  7.2471202E-03  1.9072527E-02  8.1381068E-02  1.5456369E-03  4.9883360E-05  6.0749227E-10  0.0000000E+00  2.1756957E-03
  0.0000000E+00  6.1904502E-06  4.7376642E-05  1.0000000E-06  2.2460090E-04  1.8603868E-04  6.0762982E-03  1.7520969E-02  7.5087048E-02  1.4562099E-03  4.6690453E-05  6.1782531E-06  0.0000000E+00  2.1790893E-03
  0.0000000E+00  6.9620477E-06  4.4718658E-05  1.0000000E-06  2.0926162E-04  1.7567593E-04  5.2170663E-03  1.6241776E-02  6.9865705E-02  1.3797506E-03  4.4057254E-05  6.9182088E-06  0.0000000E+00  2.1824416E-03
  0.0000000E+00  7.5036505E-06  4.2270940E-05  1.0000000E-06  1.9605096E-04  1.6664922E-04  4.5203411E-03  1.5112253E-02  6.5232412E-02  1.3100748E-03  4.1635507E-05  7.4372913E-06  0.0000000E+00  2.1858025E-03
  0.0000000E+00  7.8632920E-06  3.9983222E-05  1.0000000E-06  1.8424755E-04  1.5862075E-04  3.9492340E-03  1.4108672E-02  6.1096696E-02  1.2463270E-03  3.9375159E-05  7.7804860E-06  0.0000000E+00  2.1891723E-03
  0.0000000E+00  8.0955108E-06  3.7894012E-05  1.0000000E-06  1.7376725E-04  1.5128996E-04  3.4765032E-03  1.3212038E-02  5.7385489E-02  1.1878369E-03  3.7313093E-05  8.0018070E-06  0.0000000E+00  2.1925510E-03
  0.0000000E+00  8.2163703E-06  3.5940874E-05  1.0000000E-06  1.6428266E-04  1.4451626E-04  3.0814806E-03  1.2406820E-02  5.4039029E-02  1.1339834E-03  3.5387302E-05  8.1144018E-06  0.0000000E+00  2.1959386E-03
  0.0000000E+00  8.2690805E-06  3.4151771E-05  1.0000000E-06  1.5565395E-04  1.3825544E-04  2.7488336E-03  1.1680374E-02  5.1008160E-02  1.0842686E-03  3.3622754E-05  8.1626965E-06  0.0000000E+00  2.1993352E-03
  0.0000000E+00  8.2543768E-06  3.2476768E-05  1.0000000E-06  1.4854432E-04  1.3244151E-04  2.4662554E-03  1.1022170E-02  4.8251958E-02  1.0382251E-03  3.1972373E-05  8.1448722E-06  0.0000000E+00  2.2027407E-03
  0.0000000E+00  8.2037802E-06  3.0936159E-05  1.0000000E-06  1.4213210E-04  1.2704106E-04  2.2247724E-03  1.0423489E-02  4.5736223E-02  9.9549179E-04  3.0454528E-05  8.0934936E-06  0.0000000E+00  2.2061554E-03
  0.0000000E+00  8.1123769E-06  2.9491519E-05  1.0000000E-06  1.3618438E-04  1.2200395E-04  2.0167074E-03  9.8769589E-03  4.3432056E-02  9.5571920E-04  2.9032461E-05  8.0012649E-06  0.0000000E+00  2.2095793E-03
  0.0000000E+00  8.0033424E-06  2.8157790E-05  1.0000000E-06  1.3079154E-04  1.1744228E-04  1.8366239E-03  9.3763936E-03  4.1314982E-02  9.1863356E-04  2.7719187E-05  7.8934373E-06  0.0000000E+00  2.2130123E-03
  0.0000000E+00  7.8777027E-06  2.6914273E-05  1.0000000E-06  1.2583658E-04  1.1322622E-04  1.6797358E-03  8.9164983E-03  3.9364057E-02  8.8397442E-04  2.6495660E-05  7.7691879E-06  0.0000000E+00  2.2164546E-03
  0.0000000E+00  7.7305947E-06  2.5743248E-05  1.0000000E-06  1.2124368E-04  1.0925969E-04  1.5420680E-03  8.4927416E-03  3.7561301E-02  8.5151088E-04  2.5343254E-05  7.6233916E-06  0.0000000E+00  2.2199063E-03
  0.0000000E+00  7.5824203E-06  2.4657833E-05  1.0000000E-06  1.1693992E-04  1.0552855E-04  1.4210233E-03  8.1012551E-03  3.5891212E-02  8.2106112E-04  2.4275344E-05  7.4769835E-06  0.0000000E+00  2.2233673E-03
  0.0000000E+00  7.4282055E-06  2.3641754E-05  1.0000000E-06  1.1307534E-04  1.0213525E-04  1.3139372E-03  7.7386659E-03  3.4340319E-02  7.9244290E-04  2.3275536E-05  7.3251468E-06  0.0000000E+00  2.2268379E-03
  0.0000000E+00  7.2632659E-06  2.2681485E-05  1.0000000E-06  1.0946789E-04  9.9061818E-05  1.2186335E-03  7.4020441E-03  3.2896874E-02  7.6549634E-04  2.2330683E-05  7.1627877E-06  0.0000000E+00  2.2303179E-03
  0.0000000E+00  7.1033275E-06  2.1787032E-05  1.0000000E-06  1.0606193E-04  9.6148681E-05  1.1337452E-03  7.0888548E-03  3.1550623E-02  7.4009396E-04  2.1450892E-05  7.0054913E-06  0.0000000E+00  2.2338075E-03
  0.0000000E+00  6.9440611E-06  2.0946965E-05  1.0000000E-06  1.0283866E-04  9.3381993E-05  1.0576591E-03  6.7968576E-03  3.0292526E-02  7.1610690E-04  2.0624213E-05  6.8481895E-06  0.0000000E+00  2.2373068E-03
  0.0000000E+00  6.7851820E-06  2.0156229E-05  1.0000000E-06  9.9783435E-05  9.0751059E-05  9.8920859E-04  6.5240858E-03  2.9114617E-02  6.9342453E-04  1.9846665E-05  6.6923579E-06  0.0000000E+00  2.2408158E-03
  6.0014014E-10  6.6215735E-06  1.9403967E-05  1.0000000E-06  9.6913573E-05  8.8272616E-05  9.2716480E-04  6.2687961E-03  2.8009830E-02  6.7194158E-04  1.9106677E-05  6.5310213E-06  6.0013968E-10  2.2443345E-03
  2.1663242E-07  6.4616032E-06  1.8686172E-05  1.0000000E-06  9.4115133E-05  8.5905822E-05  8.6868551E-04  6.0254767E-03  2.6954112E-02  6.5134748E-04  1.8400410E-05  6.3732125E-06  2.1592670E-07  2.2477508E-03
  3.3571883E-07  6.3114238E-06  1.8028409E-05  1.0000000E-06  9.1556036E-05  8.3686207E-05  8.1714304E-04  5.8025954E-03  2.5985343E-02  6.3218005E-04  1.7753688E-05  6.2256068E-06  3.3423811E-07  2.2509723E-03
  4.4038620E-07  6.1637334E-06  1.7404596E-05  1.0000000E-06  8.9109228E-05  8.1559228E-05  7.7012874E-04  5.5923597E-03  2.5069794E-02  6.1391229E-04  1.7139919E-05  6.0804288E-06  4.3774510E-07  2.2542048E-03
  5.3272676E-07  6.0191502E-06  1.6812918E-05  1.0000000E-06  8.6845493E-05  7.9531352E-05  7.2713370E-04  5.3938033E-03  2.4203503E-02  5.9648576E-04  1.6558138E-05  5.9385623E-06  5.2913823E-07  2.2574486E-03
  6.1159468E-07  5.8713877E-06  1.6243858E-05  1.0000000E-06  8.4715113E-05  7.7670128E-05  6.8745668E-04  5.2060453E-03  2.3382873E-02  5.7984286E-04  1.5998255E-05  5.7927287E-06  6.0717195E-07  2.2607035E-03
  6.8223664E-07  5.7327084E-06  1.5708800E-05  1.0000000E-06  8.2700381E-05  7.5906710E-05  6.5120430E-04  5.0283074E-03  2.2604659E-02  5.6394348E-04  1.5472280E-05  5.6565431E-06  6.7713628E-07  2.2639699E-03
  7.4418744E-07  5.5978504E-06  1.5200080E-05  1.0000000E-06  8.0763026E-05  7.4225836E-05  6.1781108E-04  4.8598637E-03  2.1865886E-02  5.4873810E-04  1.4971665E-05  5.5237562E-06  7.3871032E-07  2.2672476E-03
  7.9861028E-07  5.4664862E-06  1.4715559E-05  1.0000000E-06  7.8899040E-05  7.2605277E-05  5.8703039E-04  4.7000596E-03  2.1163846E-02  5.3418523E-04  1.4495318E-05  5.3946626E-06  7.9244398E-07  2.2705368E-03
  8.4611044E-07  5.3389118E-06  1.4254119E-05  1.0000000E-06  7.7104768E-05  7.1041642E-05  5.5856240E-04  4.5482974E-03  2.0496067E-02  5.2024611E-04  1.4041326E-05  5.2688603E-06  8.3971236E-07  2.2738377E-03
  8.8761259E-07  5.2145174E-06  1.3814358E-05  9.8131403E-07  7.5397004E-05  6.9532467E-05  5.3217950E-04  4.4040333E-03  1.9860284E-02  5.0688536E-04  1.3608434E-05  5.1468026E-06  8.8096808E-07  2.2771503E-03
  9.1971480E-07  5.0874477E-06  1.3387684E-05  1.0435466E-06  7.3760193E-05  6.8106061E-05  5.0740852E-04  4.2667595E-03  1.9254412E-02  4.9406554E-04  1.3189054E-05  5.0216068E-06  9.1283097E-07  2.2804748E-03
  9.5057894E-07  4.9699833E-06  1.2986490E-05  1.1008309E-06  7.2190214E-05  6.6765559E-05  4.8459615E-04  4.1360333E-03  1.8676561E-02  4.8176436E-04  1.2794097E-05  4.9058615E-06  9.4340090E-07  2.2838113E-03
  9.7723350E-07  4.8559223E-06  1.2603240E-05  1.1533749E-06  7.0673984E-05  6.5469414E-05  4.6333651E-04  4.0114282E-03  1.8124967E-02  4.6994956E-04  1.2417209E-05  4.7935717E-06  9.6984269E-07  2.2871598E-03
  1.0001731E-06  4.7454286E-06  1.2236745E-05  1.2016061E-06  6.9208576E-05  6.4213268E-05  4.4349088E-04  3.8925579E-03  1.7598018E-02  4.5859473E-04  1.2056676E-05  4.6847738E-06  9.9262090E-07  2.2905205E-03
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  1.0360771E-06  4.5341028E-06  1.1550722E-05  1.2864878E-06  6.6434326E-05  6.1823580E-05  4.0756036E-04  3.6706271E-03  1.6612196E-02  4.3716758E-04  1.1381626E-05  4.4766531E-06  1.0284208E-06  2.2972786E-03
  1.0498346E-06  4.4331605E-06  1.1229264E-05  1.3237654E-06  6.5138081E-05  6.0707532E-05  3.9126626E-04  3.5669354E-03  1.6150674E-02  4.2705094E-04  1.1065325E-05  4.3773125E-06  1.0421406E-06  2.3006764E-03
  1.0561583E-06  4.3289621E-06  1.0914811E-05  1.3577548E-06  6.3878815E-05  5.9620493E-05  3.7568312E-04  3.4677053E-03  1.5708463E-02  4.1730091E-04  1.0755851E-05  4.2747067E-06  1.0483824E-06  2.3040867E-03
  1.0649444E-06  4.2337570E-06  1.0619030E-05  1.3891173E-06  6.2660681E-05  5.8566378E-05  3.6127292E-04  3.3726900E-03  1.5284484E-02  4.0790703E-04  1.0464956E-05  4.1809311E-06  1.0571634E-06  2.3075097E-03
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  1.0804834E-06  3.9650637E-06  9.8011170E-06  1.4684029E-06  5.9274083E-05  5.5582685E-05  3.2282864E-04  3.1105766E-03  1.4112073E-02  3.8166909E-04  9.6618765E-06  3.9164875E-06  1.0728753E-06  2.3178562E-03
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  0.0000000E+00  0.0000000E+00  5.6025930E-05  1.0000000E-06  3.3264168E-04  2.7448837E-04  1.6479671E-02  2.6517747E-02  1.1379655E-01  2.1313981E-03  5.5734518E-05  2.8000000E-09  0.0000000E+00  2.0514421E-03
  0.0000000E+00  0.0000000E+00  5.0364203E-05  1.0000000E-06  2.9318733E-04  2.4695609E-04  1.2616690E-02  2.3386271E-02  1.0105989E-01  1.9546532E-03  4.9930824E-05  3.0000000E-09  0.0000000E+00  2.0540236E-03
  0.0000000E+00  0.0000000E+00  4.6008884E-05  1.0000000E-06  2.6352142E-04  2.2655281E-04  9.9037792E-03  2.0855075E-02  9.0678048E-02  1.8039345E-03  4.5518324E-05  3.3000000E-09  0.0000000E+00  2.0566112E-03
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  6.0009756E-10  4.5387659E-06  1.3653980E-05  1.7158833E-06  8.8444321E-05  8.3256971E-05  6.7075208E-04  4.9441070E-03  2.2803531E-02  6.0062910E-04  1.3446788E-05  4.4744746E-06  6.0009736E-10  2.1166196E-03
  1.5098468E-07  4.4233580E-06  1.3132424E-05  1.7803801E-06  8.6102021E-05  8.1189221E-05  6.2768049E-04  4.7466904E-03  2.1917057E-02  5.8119389E-04  1.2934064E-05  4.3608976E-06  1.5068922E-07  2.1191950E-03
  2.3180023E-07  4.3156748E-06  1.2655693E-05  1.8351750E-06  8.4075360E-05  7.9304909E-05  5.8973736E-04  4.5660724E-03  2.1104673E-02  5.6315552E-04  1.2464896E-05  4.2548093E-06  2.3053564E-07  2.1215841E-03
  3.0250699E-07  4.2098399E-06  1.2204275E-05  1.8830751E-06  8.2149271E-05  7.7583460E-05  5.5514271E-04  4.3958950E-03  2.0337856E-02  5.4599932E-04  1.2020463E-05  4.1508671E-06  3.0049643E-07  2.1239811E-03
  3.6464810E-07  4.1069834E-06  1.1776483E-05  1.9248840E-06  8.0288986E-05  7.5920879E-05  5.2352111E-04  4.2353497E-03  1.9613162E-02  5.2966709E-04  1.1599790E-05  4.0496756E-06  3.6221081E-07  2.1263861E-03
  4.1733563E-07  4.0006136E-06  1.1364630E-05  1.9610311E-06  7.8489351E-05  7.4308386E-05  4.9433194E-04  4.0836997E-03  1.8927469E-02  5.1409995E-04  1.1194922E-05  3.9453202E-06  4.1449841E-07  2.1287992E-03
  4.6492436E-07  3.9022634E-06  1.0979103E-05  1.9925369E-06  7.6752269E-05  7.2748386E-05  4.6769684E-04  3.9402949E-03  1.8277961E-02  4.9925643E-04  1.0815446E-05  3.8485080E-06  4.6145844E-07  2.1312202E-03
  5.0638566E-07  3.8066906E-06  1.0612642E-05  2.0197114E-06  7.5072911E-05  7.1236819E-05  4.4317767E-04  3.8045303E-03  1.7662062E-02  4.8508741E-04  1.0454811E-05  3.7544904E-06  5.0253092E-07  2.1336495E-03
  5.4267698E-07  3.7137758E-06  1.0264262E-05  2.0430142E-06  7.3449041E-05  6.9773896E-05  4.2056701E-04  3.6758596E-03  1.7077428E-02  4.7155077E-04  1.0112171E-05  3.6631356E-06  5.3855108E-07  2.1360870E-03
  5.7453362E-07  3.6237969E-06  9.9327788E-06  2.0628699E-06  7.1878069E-05  6.8390178E-05  3.9996466E-04  3.5537754E-03  1.6521878E-02  4.5860714E-04  9.7860096E-06  3.5746000E-06  5.7001113E-07  2.1385329E-03
  6.0214422E-07  3.5364108E-06  9.6172351E-06  2.0796209E-06  7.0357856E-05  6.7047077E-05  3.8088582E-04  3.4378461E-03  1.5993547E-02  4.4622253E-04  9.4755091E-06  3.4886348E-06  5.9754987E-07  2.1409872E-03
  6.2264360E-07  3.4459478E-06  9.3108644E-06  2.0933760E-06  6.8887729E-05  6.5741101E-05  3.6294197E-04  3.3276502E-03  1.5490638E-02  4.3435997E-04  9.1739156E-06  3.3997626E-06  6.1784413E-07  2.1434497E-03
  6.4303374E-07  3.3635243E-06  9.0236559E-06  2.1048460E-06  6.7467249E-05  6.4477063E-05  3.4645109E-04  3.2227991E-03  1.5011430E-02  4.2299520E-04  8.8913905E-06  3.3186145E-06  6.3800219E-07  2.1459210E-03
  6.6051934E-07  3.2836083E-06  8.7495858E-06  2.1140870E-06  6.6091277E-05  6.3252193E-05  3.3108648E-04  3.1229495E-03  1.4554454E-02  4.1209700E-04  8.6216321E-06  3.2399381E-06  6.5546646E-07  2.1484007E-03
  6.7543578E-07  3.2062025E-06  8.4877554E-06  2.1213232E-06  6.4757781E-05  6.2062444E-05  3.1674738E-04  3.0277815E-03  1.4118321E-02  4.0163893E-04  8.3639747E-06  3.1638036E-06  6.7015008E-07  2.1508891E-03
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  0.0000000E+00  2.6930093E-06  1.0959324E-05  4.1345696E-06  1.1701357E-04  1.1337572E-04  8.5040351E-04  5.1763789E-03  2.5024824E-02  7.2857110E-04  1.0795445E-05  2.6552713E-06  0.0000000E+00  1.8535280E-03
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  6.0004523E-10  2.0379415E-06  6.5022848E-06  5.3606560E-06  8.1817413E-05  8.0720485E-05  3.3958902E-04  2.9768325E-03  1.4585428E-02  4.5831503E-04  6.4064827E-06  2.0075618E-06  6.0004514E-10  1.8688471E-03
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  1.0542915E-07  1.9269808E-06  5.9945588E-06  5.4434458E-06  7.7266885E-05  7.6428162E-05  2.9735838E-04  2.7369758E-03  1.3430880E-02  4.2680291E-04  5.9070749E-06  1.8985677E-06  1.0488517E-07  1.8713181E-03
  1.3637728E-07  1.8750962E-06  5.7663346E-06  5.6934630E-06  7.5167896E-05  7.4436612E-05  2.7938980E-04  2.6293712E-03  1.2911834E-02  4.1247066E-04  5.6821939E-06  1.8475426E-06  1.3536665E-07  1.8724729E-03
  1.6328655E-07  1.8248122E-06  5.5506360E-06  5.9121398E-06  7.3154396E-05  7.2523788E-05  2.6299953E-04  2.5280768E-03  1.2422525E-02  3.9887893E-04  5.4699952E-06  1.7981935E-06  1.6214033E-07  1.8736311E-03
  1.8556278E-07  1.7721261E-06  5.3427726E-06  6.1024419E-06  7.1220144E-05  7.0684070E-05  2.4786405E-04  2.4325969E-03  1.1960680E-02  3.8600328E-04  5.2652403E-06  1.7462141E-06  1.8413534E-07  1.8747925E-03
  2.0595016E-07  1.7245460E-06  5.1494279E-06  6.2680885E-06  6.9364088E-05  6.8916722E-05  2.3410817E-04  2.3424960E-03  1.1524255E-02  3.7392206E-04  5.0750930E-06  1.6994997E-06  2.0427268E-07  1.8759573E-03
  2.2360027E-07  1.6784561E-06  4.9664344E-06  6.4113258E-06  6.7589370E-05  6.7239309E-05  2.2146795E-04  2.2573682E-03  1.1111380E-02  3.6242243E-04  4.8948558E-06  1.6543218E-06  2.2177311E-07  1.8771255E-03
  2.3906212E-07  1.6340637E-06  4.7928663E-06  6.5345043E-06  6.5914757E-05  6.5642631E-05  2.0982755E-04  2.1768492E-03  1.0720364E-02  3.5147116E-04  4.7239741E-06  1.6106173E-06  2.3705069E-07  1.8782971E-03
  2.5250007E-07  1.5910688E-06  4.6281664E-06  6.6397219E-06  6.4302264E-05  6.4103666E-05  1.9908564E-04  2.1006003E-03  1.0349634E-02  3.4102757E-04  4.5617795E-06  1.5684379E-06  2.5034332E-07  1.8794720E-03
  2.6419358E-07  1.5496565E-06  4.4718872E-06  6.7287367E-06  6.2748724E-05  6.2619550E-05  1.8915313E-04  2.0283343E-03  9.9978450E-03  3.3106139E-04  4.4079694E-06  1.5276295E-06  2.6196093E-07  1.8806505E-03
  2.7183963E-07  1.5057635E-06  4.3194950E-06  6.8028198E-06  6.1249536E-05  6.1186160E-05  1.7979798E-04  1.9597711E-03  9.6637086E-03  3.2154007E-04  4.2579218E-06  1.4844815E-06  2.6951342E-07  1.8818325E-03
  2.8025742E-07  1.4668633E-06  4.1778871E-06  6.8642691E-06  5.9805155E-05  5.9804064E-05  1.7124413E-04  1.8946535E-03  9.3459944E-03  3.1244061E-04  4.1184723E-06  1.4462503E-06  2.7787676E-07  1.8830178E-03
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  2.9347375E-07  1.3930246E-06  3.9147510E-06  6.9531656E-06  5.7066422E-05  5.7180416E-05  1.5588170E-04  1.7738616E-03  8.7556877E-03  2.9540337E-04  3.8592826E-06  1.3736768E-06  2.9105886E-07  1.8853993E-03
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  3.0641874E-07  1.2924109E-06  3.5640969E-06  7.0175058E-06  5.3299916E-05  5.3565868E-05  1.3653693E-04  1.6133623E-03  7.9693214E-03  2.7242866E-04  3.5140863E-06  1.2743989E-06  3.0395676E-07  1.8889984E-03
  3.0628535E-07  1.2573570E-06  3.4539800E-06  7.0237203E-06  5.2125877E-05  5.2437686E-05  1.3086575E-04  1.5647019E-03  7.7304502E-03  2.6538031E-04  3.4057104E-06  1.2398718E-06  3.0376911E-07  1.8902054E-03
  3.0825568E-07  1.2269249E-06  3.3519029E-06  7.0240567E-06  5.0991636E-05  5.1347167E-05  1.2567740E-04  1.5182237E-03  7.5020627E-03  2.5861329E-04  3.3051735E-06  1.2099663E-06  3.0576632E-07  1.8914160E-03
  3.0967450E-07  1.1975955E-06  3.2543919E-06  7.0188173E-06  4.9894268E-05  5.0291405E-05  1.2079436E-04  1.4737942E-03  7.2835425E-03  2.5211000E-04  3.2091340E-06  1.1810584E-06  3.0714092E-07  1.8926304E-03
  3.1069814E-07  1.1692612E-06  3.1609880E-06  7.0085577E-06  4.8831897E-05  4.9268904E-05  1.1619309E-04  1.4312934E-03  7.0743221E-03  2.4585666E-04  3.1171692E-06  1.1532285E-06  3.0820146E-07  1.8938486E-03
  3.1123891E-07  1.1418621E-06  3.0715420E-06  6.9937861E-06  4.7803276E-05  4.8278238E-05  1.1185231E-04  1.3906105E-03  6.8738742E-03  2.3984024E-04  3.0291375E-06  1.1263428E-06  3.0883351E-07  1.8950705E-03
  3.1144934E-07  1.1153654E-06  2.9858547E-06  6.9749664E-06  4.6806812E-05  4.7318105E-05  1.0775270E-04  1.3516418E-03  6.6817090E-03  2.3404854E-04  2.9447225E-06  1.1002823E-06  3.0900051E-07  1.8962963E-03
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  1.5433377E-07  1.0534322E-06  3.1951908E-06  1.1512614E-05  6.1690125E-05  6.2101279E-05  1.4463967E-04  1.6403205E-03  8.3174412E-03  2.9886764E-04  3.1493130E-06  1.0377652E-06  1.5295998E-07  1.7531109E-03
  1.6278708E-07  1.0247040E-06  3.0819683E-06  1.1514602E-05  6.0054286E-05  6.0511019E-05  1.3711874E-04  1.5811672E-03  8.0208161E-03  2.8955322E-04  3.0378112E-06  1.0096358E-06  1.6142496E-07  1.7538329E-03
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  1.9602614E-07  8.2588188E-07  2.3536482E-06  1.1262948E-05  4.9063990E-05  4.9791521E-05  9.3406364E-05  1.2048049E-03  6.1251030E-03  2.2878583E-04  2.3206930E-06  8.1399944E-07  1.9434474E-07  1.7596719E-03
  1.9534257E-07  8.0233152E-07  2.2783831E-06  1.1193480E-05  4.7913700E-05  4.8658630E-05  8.9400112E-05  1.1673944E-03  5.9358135E-03  2.2258673E-04  2.2465173E-06  7.9075988E-07  1.9367821E-07  1.7604098E-03
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  1.9782873E-07  7.4436832E-07  2.0795654E-06  1.0958303E-05  4.4698328E-05  4.5490505E-05  7.9250002E-05  1.0650154E-03  5.4168792E-03  2.0546180E-04  2.0507443E-06  7.3382215E-07  1.9621006E-07  1.7626346E-03
  1.9812291E-07  7.2642310E-07  2.0190282E-06  1.0872626E-05  4.3698055E-05  4.4504497E-05  7.6248971E-05  1.0338517E-03  5.2586511E-03  2.0019897E-04  1.9911202E-06  7.1622790E-07  1.9652386E-07  1.7633799E-03
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  0.0000000E+00  9.9433272E-07  3.6664702E-06  1.9949981E-05  8.6760717E-05  8.7017135E-05  2.3543592E-04  2.1625692E-03  1.1196930E-02  4.1146074E-04  3.6132288E-06  9.7924026E-07  0.0000000E+00  1.6234952E-03
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  0.0000000E+00  9.0482845E-07  3.1713890E-06  1.9373809E-05  7.7888138E-05  7.8322565E-05  1.8579428E-04  1.8612196E-03  9.6640330E-03  3.6145339E-04  3.1254213E-06  8.9099163E-07  0.0000000E+00  1.6252905E-03
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  6.0001949E-10  8.4865305E-07  2.8945547E-06  1.8890892E-05  7.2755690E-05  7.3287761E-05  1.6088147E-04  1.6951207E-03  8.8156351E-03  3.3330792E-04  2.8527654E-06  8.3571040E-07  6.0001942E-10  1.6264928E-03
  3.0639775E-08  8.2218925E-07  2.7681508E-06  1.8631136E-05  7.0341307E-05  7.0926437E-05  1.4988119E-04  1.6193288E-03  8.4273458E-03  3.2036315E-04  2.7284572E-06  8.0973735E-07  3.0542763E-08  1.6270142E-03
  4.4776298E-08  7.9771720E-07  2.6532723E-06  1.8367005E-05  6.8111101E-05  6.8735525E-05  1.4024297E-04  1.5503371E-03  8.0735531E-03  3.0845220E-04  2.6152901E-06  7.8564487E-07  4.4526811E-08  1.6273873E-03
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  7.5217558E-08  3.1550929E-07  9.6442861E-07  1.5271943E-05  4.0336703E-05  4.1272257E-05  4.1196023E-05  6.4071400E-04  3.4344315E-03  1.5159891E-04  9.5127878E-07  3.1089947E-07  7.4548065E-08  1.5073594E-03
  7.4314646E-08  3.0528432E-07  9.3114783E-07  1.4935727E-05  3.9336622E-05  4.0280112E-05  3.9379578E-05  6.1982484E-04  3.3214415E-03  1.4709626E-04  9.1845067E-07  3.0083271E-07  7.3647009E-08  1.5074648E-03
  7.4699116E-08  2.9717458E-07  9.0112362E-07  1.4610857E-05  3.8373192E-05  3.9324180E-05  3.7744734E-05  5.9992364E-04  3.2137461E-03  1.4279193E-04  8.8886077E-07  2.9283295E-07  7.4016740E-08  1.5075697E-03
  7.4957994E-08  2.8934557E-07  8.7253415E-07  1.4296591E-05  3.7443954E-05  3.8402020E-05  3.6208317E-05  5.8094763E-04  3.1110184E-03  1.3867322E-04  8.6066721E-07  2.8513160E-07  7.4276745E-08  1.5076739E-03
  7.5073624E-08  2.8180859E-07  8.4519144E-07  1.3992503E-05  3.6547297E-05  3.7512033E-05  3.4762718E-05  5.6284036E-04  3.0129584E-03  1.3472951E-04  8.3378149E-07  2.7777125E-07  7.4445527E-08  1.5077775E-03
  7.5158697E-08  2.7461245E-07  8.1914602E-07  1.3698187E-05  3.5681802E-05  3.6652752E-05  3.3401057E-05  5.4554980E-04  2.9192882E-03  1.3095090E-04  8.0809705E-07  2.7067006E-07  7.4520459E-08  1.5078805E-03
  7.5170536E-08  2.6757792E-07  7.9427443E-07  1.3413265E-05  3.4850382E-05  3.5822784E-05  3.2117087E-05  5.2902769E-04  2.8297506E-03  1.2732835E-04  7.8361840E-07  2.6388779E-07  7.4506991E-08  1.5079829E-03
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  6.0000761E-10  3.2104881E-07  1.1811595E-06  2.4131052E-05  6.1522729E-05  6.2355843E-05  6.9890579E-05  9.0477639E-04  4.9600762E-03  2.2248417E-04  1.1646633E-06  3.1590744E-07  6.0000759E-10  1.3835316E-03
  1.2326818E-08  3.1011300E-07  1.1260476E-06  2.3323318E-05  5.9347795E-05  6.0195692E-05  6.4941116E-05  8.6222119E-04  4.7268791E-03  2.1295598E-04  1.1102162E-06  3.0515160E-07  1.2306770E-08  1.3835880E-03
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  2.5919608E-08  2.8113748E-07  9.8546286E-07  2.1203928E-05  5.3757631E-05  5.4616413E-05  5.3149236E-05  7.5356498E-04  4.1310186E-03  1.8832048E-04  9.7172114E-07  2.7671857E-07  2.5729281E-08  1.3833716E-03
  2.8857150E-08  2.7075357E-07  9.4270092E-07  2.0590239E-05  5.2074328E-05  5.2944601E-05  4.9855440E-05  7.2179533E-04  3.9565828E-03  1.8104742E-04  9.2959103E-07  2.6653610E-07  2.8603846E-08  1.3832973E-03
  3.1737246E-08  2.6219041E-07  9.0390704E-07  2.0002646E-05  5.0467730E-05  5.1348644E-05  4.6897810E-05  6.9195448E-04  3.7926371E-03  1.7418622E-04  8.9133431E-07  2.5808772E-07  3.1444568E-08  1.3832220E-03
  3.4228155E-08  2.5400321E-07  8.6737996E-07  1.9439568E-05  4.8932633E-05  4.9823440E-05  4.4191735E-05  6.6388865E-04  3.6383585E-03  1.6770534E-04  8.5535944E-07  2.5006039E-07  3.3896317E-08  1.3831454E-03
  3.6374232E-08  2.4615184E-07  8.3297205E-07  1.8899755E-05  4.7464976E-05  4.8364915E-05  4.1710124E-05  6.3746038E-04  3.4930045E-03  1.6157696E-04  8.2149539E-07  2.4237538E-07  3.6076949E-08  1.3830678E-03
  3.8302333E-08  2.3867445E-07  8.0057514E-07  1.8382011E-05  4.6060779E-05  4.6969157E-05  3.9429415E-05  6.1254249E-04  3.3558895E-03  1.5577542E-04  7.8959796E-07  2.3504489E-07  3.7942630E-08  1.3829891E-03
  3.9930626E-08  2.3136620E-07  7.6997330E-07  1.7885261E-05  4.4716609E-05  4.5632806E-05  3.7328981E-05  5.8902734E-04  3.2264298E-03  1.5027868E-04  7.5944198E-07  2.2801663E-07  3.9567295E-08  1.3829091E-03
  4.0394874E-08  2.2304825E-07  7.3956439E-07  1.7408148E-05  4.3434098E-05  4.4351787E-05  3.5328248E-05  5.6681074E-04  3.1040685E-03  1.4506458E-04  7.2944124E-07  2.1959142E-07  3.9995827E-08  1.3828280E-03
  4.1508270E-08  2.1643996E-07  7.1215876E-07  1.6950211E-05  4.2210661E-05  4.3132173E-05  3.3530618E-05  5.4579740E-04  2.9882774E-03  1.4011514E-04  7.0239985E-07  2.1310359E-07  4.1108296E-08  1.3827457E-03
  4.2445350E-08  2.1014680E-07  6.8620278E-07  1.6510248E-05  4.1036939E-05  4.1964932E-05  3.1865085E-05  5.2590324E-04  2.8786071E-03  1.3541222E-04  6.7683787E-07  2.0691346E-07  4.2055993E-08  1.3826622E-03
  4.3255722E-08  2.0410042E-07  6.6162889E-07  1.6087385E-05  3.9910302E-05  4.0844289E-05  3.0319287E-05  5.0705064E-04  2.7746361E-03  1.3093967E-04  6.5264544E-07  2.0098960E-07  4.2855218E-08  1.3825776E-03
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  4.4967706E-08  1.8747388E-07  5.9518797E-07  1.4913196E-05  3.6788941E-05  3.7738328E-05  2.6404418E-05  4.5606067E-04  2.4932187E-03  1.1876137E-04  5.8723876E-07  1.8468048E-07  4.4571892E-08  1.3823159E-03
  4.4153348E-08  1.8090614E-07  5.7380994E-07  1.4550513E-05  3.5826683E-05  3.6780481E-05  2.5207287E-05  4.4071878E-04  2.4084913E-03  1.1507188E-04  5.6609507E-07  1.7820858E-07  4.3749392E-08  1.3822261E-03
  4.4355582E-08  1.7595479E-07  5.5473393E-07  1.4201433E-05  3.4901289E-05  3.5859098E-05  2.4140343E-05  4.2611850E-04  2.3278268E-03  1.1155038E-04  5.4730989E-07  1.7334814E-07  4.3950248E-08  1.3821351E-03
  4.4501170E-08  1.7122226E-07  5.3659528E-07  1.3865074E-05  3.4010276E-05  3.4971780E-05  2.3138556E-05  4.1221188E-04  2.2509704E-03  1.0818580E-04  5.2944198E-07  1.6868242E-07  4.4111373E-08  1.3820427E-03
  4.4605760E-08  1.6667270E-07  5.1934257E-07  1.3540845E-05  3.3151940E-05  3.4116872E-05  2.2196857E-05  3.9895595E-04  2.1776879E-03  1.0496900E-04  5.1244367E-07  1.6423574E-07  4.4209452E-08  1.3819490E-03
  4.4644069E-08  1.6229111E-07  5.0286935E-07  1.3228180E-05  3.2324746E-05  3.3292810E-05  2.1310659E-05  3.8631102E-04  2.1077629E-03  1.0189142E-04  4.9620502E-07  1.5993082E-07  4.4252872E-08  1.3818539E-03
  4.4644127E-08  1.5810859E-07  4.8718077E-07  1.2926556E-05  3.1527186E-05  3.2498103E-05  2.0475808E-05  3.7424038E-04  2.0409951E-03  9.8945138E-05  4.8074696E-07  1.5583714E-07  4.4262069E-08  1.3817575E-03
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  0.0000000E+00  5.0000000E-10  3.1339366E-06  7.0397838E-05  1.7455617E-04  1.7483513E-04  6.2744780E-04  2.9335429E-03  1.6192632E-02  6.9473684E-04  3.1001213E-06  5.3000000E-09  0.0000000E+00  1.2610810E-03
  0.0000000E+00  1.2003875E-09  2.8269896E-06  6.5139303E-05  1.6058116E-04  1.6094387E-04  5.0491583E-04  2.6223879E-03  1.4508165E-02  6.2852505E-04  2.7942270E-06  1.2003868E-09  0.0000000E+00  1.2611118E-03
  0.0000000E+00  3.2067943E-07  2.5523595E-06  6.0365748E-05  1.4801949E-04  1.4845417E-04  4.0788119E-04  2.3540001E-03  1.3047595E-02  5.7046610E-04  2.5214996E-06  3.2016639E-07  0.0000000E+00  1.2611300E-03
  0.0000000E+00  3.2642012E-07  2.3343979E-06  5.6336544E-05  1.3774857E-04  1.3822686E-04  3.3931786E-04  2.1383625E-03  1.1867309E-02  5.2307152E-04  2.3051425E-06  3.2435093E-07  0.0000000E+00  1.2611189E-03
  0.0000000E+00  3.2764847E-07  2.1440504E-06  5.2716738E-05  1.2863053E-04  1.2916349E-04  2.8554484E-04  1.9517562E-03  1.0843935E-02  4.8159891E-04  2.1166054E-06  3.2479540E-07  0.0000000E+00  1.2611073E-03
  0.0000000E+00  3.2431199E-07  1.9719600E-06  4.9562373E-05  1.2086831E-04  1.2142182E-04  2.4279581E-04  1.7891083E-03  9.9503581E-03  4.4507106E-04  1.9462284E-06  3.2087510E-07  0.0000000E+00  1.2610951E-03
  0.0000000E+00  3.1952099E-07  1.8234675E-06  4.6699231E-05  1.1382221E-04  1.1441850E-04  2.0840208E-04  1.6464292E-03  9.1651440E-03  4.1271711E-04  1.7994891E-06  3.1558090E-07  0.0000000E+00  1.2610824E-03
  0.0000000E+00  3.1138412E-07  1.6878779E-06  4.4194997E-05  1.0739437E-04  1.0802858E-04  1.8039735E-04  1.5205199E-03  8.4711391E-03  3.8390234E-04  1.6651729E-06  3.0712498E-07  0.0000000E+00  1.2610693E-03
  0.0000000E+00  3.0354584E-07  1.5695716E-06  4.1892443E-05  1.0151599E-04  1.0218370E-04  1.5739712E-04  1.4088150E-03  7.8545036E-03  3.5811932E-04  1.5484539E-06  2.9930192E-07  0.0000000E+00  1.2610556E-03
  0.0000000E+00  2.9344712E-07  1.4607480E-06  3.9770106E-05  9.6174033E-05  9.6847422E-05  1.3828544E-04  1.3092165E-03  7.3039446E-03  3.3494238E-04  1.4408280E-06  2.8901925E-07  0.0000000E+00  1.2610414E-03
  0.0000000E+00  2.8448608E-07  1.3649657E-06  3.7810790E-05  9.1344366E-05  9.2046034E-05  1.2244277E-04  1.2200129E-03  6.8101905E-03  3.1402596E-04  1.3463999E-06  2.8016357E-07  0.0000000E+00  1.2610267E-03
  0.0000000E+00  2.7381833E-07  1.2763253E-06  3.5997605E-05  8.6989335E-05  8.7685836E-05  1.0904297E-04  1.1397795E-03  6.3655516E-03  2.9507478E-04  1.2588417E-06  2.6954324E-07  0.0000000E+00  1.2610113E-03
  0.0000000E+00  2.6453597E-07  1.1975807E-06  3.4317159E-05  8.2974817E-05  8.3695734E-05  9.7802354E-05  1.0673381E-03  5.9636192E-03  2.7784651E-04  1.1811299E-06  2.6034309E-07  0.0000000E+00  1.2609954E-03
  0.0000000E+00  2.5556553E-07  1.1259997E-06  3.2756515E-05  7.9238941E-05  7.9981920E-05  8.8172976E-05  1.0016944E-03  5.5990049E-03  2.6213214E-04  1.1104568E-06  2.5142666E-07  0.0000000E+00  1.2609791E-03
  0.0000000E+00  2.4522990E-07  1.0589630E-06  3.1304235E-05  7.5755243E-05  7.6518289E-05  7.9822434E-05  9.4200978E-04  5.2671533E-03  2.4775384E-04  1.0443667E-06  2.4124685E-07  0.0000000E+00  1.2609622E-03
  0.0000000E+00  2.3650932E-07  9.9905545E-07  2.9950994E-05  7.2502813E-05  7.3283872E-05  7.2601646E-05  8.8757652E-04  4.9641973E-03  2.3456281E-04  9.8526480E-07  2.3265195E-07  0.0000000E+00  1.2609446E-03
  0.0000000E+00  2.2813621E-07  9.4410925E-07  2.8687739E-05  6.9460527E-05  7.0257986E-05  6.6298863E-05  8.3778659E-04  4.6868257E-03  2.2242788E-04  9.3111717E-07  2.2448328E-07  0.0000000E+00  1.2609265E-03
  0.0000000E+00  2.1884902E-07  8.9222929E-07  2.7506325E-05  6.6609753E-05  6.7422042E-05  6.0728412E-05  7.9211760E-04  4.4321942E-03  2.1123554E-04  8.7994869E-07  2.1528309E-07  0.0000000E+00  1.2609079E-03
  0.0000000E+00  2.1104216E-07  8.4562314E-07  2.6400229E-05  6.3935573E-05  6.4761337E-05  5.5846402E-05  7.5012349E-04  4.1978515E-03  2.0089031E-04  8.3397210E-07  2.0762520E-07  0.0000000E+00  1.2608886E-03
  0.0000000E+00  2.0362495E-07  8.0260670E-07  2.5362905E-05  6.1422980E-05  6.2260903E-05  5.1522488E-05  7.1141423E-04  3.9816680E-03  1.9130603E-04  7.9155685E-07  2.0029746E-07  0.0000000E+00  1.2608688E-03
  0.0000000E+00  1.9652134E-07  7.6279667E-07  2.4388718E-05  5.9058894E-05  5.9907869E-05  4.7676823E-05  6.7565167E-04  3.7817907E-03  1.8240842E-04  7.5233943E-07  1.9334341E-07  0.0000000E+00  1.2608483E-03
  6.0000453E-10  1.8856234E-07  7.2466702E-07  2.3472351E-05  5.6849104E-05  5.7698865E-05  4.4200366E-05  6.4253927E-04  3.5965980E-03  1.7413095E-04  7.1467945E-07  1.8550175E-07  6.0000452E-10  1.2608273E-03
  7.5801220E-09  1.8181080E-07  6.8962673E-07  2.2598510E-05  5.4720623E-05  5.5598786E-05  4.1009623E-05  6.1131404E-04  3.4216800E-03  1.6631149E-04  6.8013062E-07  1.7886450E-07  7.5753801E-09  1.2607426E-03
  1.0573454E-08  1.7566396E-07  6.5796849E-07  2.1792021E-05  5.2771494E-05  5.3657565E-05  3.8226091E-05  5.8300597E-04  3.2631077E-03  1.5917327E-04  6.4896413E-07  1.7283147E-07  1.0498495E-08  1.2605411E-03
  1.3178963E-08  1.6977566E-07  6.2840660E-07  2.1028549E-05  5.0922189E-05  5.1815450E-05  3.5710329E-05  5.5656657E-04  3.1149170E-03  1.5247847E-04  6.1983475E-07  1.6710649E-07  1.3077461E-08  1.2603382E-03
  1.5439314E-08  1.6418305E-07  6.0068261E-07  2.0305143E-05  4.9166170E-05  5.0065875E-05  3.3430171E-05  5.3183599E-04  2.9762274E-03  1.4619093E-04  5.9251281E-07  1.6158154E-07  1.5315172E-08  1.2601339E-03
  1.7049182E-08  1.5769283E-07  5.7358214E-07  1.9618840E-05  4.7496655E-05  4.8402172E-05  3.1312853E-05  5.0867005E-04  2.8462491E-03  1.4027752E-04  5.6579150E-07  1.5518810E-07  1.6903848E-08  1.2599280E-03
  1.8672890E-08  1.5252743E-07  5.4919129E-07  1.8967575E-05  4.5909163E-05  4.6819817E-05  2.9419536E-05  4.8694268E-04  2.7242759E-03  1.3471069E-04  5.4174885E-07  1.5009384E-07  1.8527086E-08  1.2597207E-03
  2.0109819E-08  1.4759249E-07  5.2625473E-07  1.8348844E-05  4.4397925E-05  4.5313173E-05  2.7689553E-05  4.6653717E-04  2.6096685E-03  1.2946315E-04  5.1912947E-07  1.4525065E-07  1.9913911E-08  1.2595117E-03
  2.1360217E-08  1.4271333E-07  5.0471041E-07  1.7760542E-05  4.2958173E-05  4.3877509E-05  2.6105135E-05  4.4734942E-04  2.5018508E-03  1.2451103E-04  4.9789002E-07  1.4063369E-07  2.1155397E-08  1.2593013E-03
  2.2453715E-08  1.3825685E-07  4.8446905E-07  1.7200717E-05  4.1585440E-05  4.2508396E-05  2.4650831E-05  4.2928526E-04  2.4003019E-03  1.1983256E-04  4.7793353E-07  1.3606336E-07  2.2236518E-08  1.2590892E-03
  2.3414674E-08  1.3404108E-07  4.6535318E-07  1.6667583E-05  4.0275731E-05  4.1201830E-05  2.3313170E-05  4.1225943E-04  2.3045499E-03  1.1540800E-04  4.5910302E-07  1.3190241E-07  2.3179770E-08  1.2588756E-03
  2.3504194E-08  1.2883485E-07  4.4621916E-07  1.6159265E-05  3.9024650E-05  3.9953480E-05  2.2033311E-05  3.9619340E-04  2.2141650E-03  1.1121841E-04  4.4022139E-07  1.2679546E-07  2.3255713E-08  1.2586604E-03
  2.4123544E-08  1.2490040E-07  4.2915258E-07  1.5674646E-05  3.7829746E-05  3.8760950E-05  2.0890628E-05  3.8101924E-04  2.1287599E-03  1.0724910E-04  4.2341925E-07  1.2295680E-07  2.3894374E-08  1.2584435E-03
  2.4677433E-08  1.2115563E-07  4.1300983E-07  1.5212108E-05  3.6687290E-05  3.7620492E-05  1.9843858E-05  3.6667175E-04  2.0479785E-03  1.0348420E-04  4.0750890E-07  1.1926369E-07  2.4433183E-08  1.2582250E-03
  2.5125107E-08  1.1757935E-07  3.9777005E-07  1.4770356E-05  3.5594683E-05  3.6529144E-05  1.8896250E-05  3.5309266E-04  1.9714964E-03  9.9909960E-05  3.9247778E-07  1.1574307E-07  2.4890903E-08  1.2580048E-03
  2.5518338E-08  1.1416496E-07  3.8331839E-07  1.4348158E-05  3.4569263E-05  3.5487215E-05  1.8013718E-05  3.4022858E-04  1.8990174E-03  9.6513771E-05  3.7824758E-07  1.1239030E-07  2.5287629E-08  1.2577830E-03
  2.5858811E-08  1.1089966E-07  3.6965085E-07  1.3944391E-05  3.3590059E-05  3.4507250E-05  1.7190619E-05  3.2806153E-04  1.8302703E-03  9.3284031E-05  3.6479015E-07  1.0921354E-07  2.5620911E-08  1.2575594E-03
  2.6135533E-08  1.0778968E-07  3.5670497E-07  1.3558005E-05  3.2650496E-05  3.3569453E-05  1.6421904E-05  3.1651490E-04  1.7650063E-03  9.0210057E-05  3.5202099E-07  1.0615094E-07  2.5909764E-08  1.2573341E-03
  2.5465718E-08  1.0370224E-07  3.4328287E-07  1.3187817E-05  3.1747972E-05  3.2668426E-05  1.5654857E-05  3.0554509E-04  1.7029955E-03  8.7281240E-05  3.3880029E-07  1.0212329E-07  2.5227052E-08  1.2571070E-03
  2.5588348E-08  1.0079112E-07  3.3153790E-07  1.2833321E-05  3.0881510E-05  3.1803222E-05  1.4978182E-05  2.9511679E-04  1.6440305E-03  8.4490075E-05  3.2719361E-07  9.9262813E-08  2.5347681E-08  1.2568782E-03
  2.5665536E-08  9.8013260E-08  3.2039168E-07  1.2493472E-05  3.0048759E-05  3.0971523E-05  1.4343506E-05  2.8519436E-04  1.5879163E-03  8.1827474E-05  3.1619784E-07  9.6529366E-08  2.5434527E-08  1.2566475E-03
  2.5729619E-08  9.5342301E-08  3.0977097E-07  1.2167482E-05  2.9248026E-05  3.0171640E-05  1.3747535E-05  2.7574603E-04  1.5344746E-03  7.9285681E-05  3.0575380E-07  9.3933251E-08  2.5504028E-08  1.2564151E-03
  2.5770373E-08  9.2806520E-08  2.9966913E-07  1.1854611E-05  2.8477700E-05  2.9401950E-05  1.3187288E-05  2.6674238E-04  1.4835406E-03  7.6857503E-05  2.9579005E-07  9.1418693E-08  2.5534075E-08  1.2561808E-03
  2.5778788E-08  9.0386248E-08  2.9006710E-07  1.1554177E-05  2.7736248E-05  2.8660957E-05  1.2660070E-05  2.5815627E-04  1.4349621E-03  7.4536343E-05  2.8630423E-07  8.9038867E-08  2.5546842E-08  1.2559447E-03
  0.0000000E+00  2.0000000E-10  1.6097335E-09  1.2477726E-04  2.9557268E-04  2.9535148E-04  1.9238532E-03  4.5710319E-03  2.5427293E-02  1.1201313E-03  1.6097002E-09  4.0000000E-09  0.0000000E+00  1.1398838E-03
  0.0000000E+00  3.0000000E-10  3.5182931E-06  1.0900252E-04  2.5114913E-04  2.5116652E-04  1.2890564E-03  3.7737376E-03  2.1098880E-02  9.4324328E-04  3.5063127E-06  5.1000000E-09  0.0000000E+00  1.1393223E-03
  0.0000000E+00  4.0000000E-10  2.9688524E-06  9.7299655E-05  2.2294761E-04  2.2309132E-04  9.3231691E-04  3.2146634E-03  1.8022707E-02  8.1575601E-04  2.9514535E-06  5.5000000E-09  0.0000000E+00  1.1392591E-03
  0.0000000E+00  7.0000000E-10  2.5630135E-06  8.7584202E-05  1.9973903E-04  1.9999089E-04  6.9482425E-04  2.7771809E-03  1.5607628E-02  7.1430790E-04  2.5426950E-06  5.4000000E-09  0.0000000E+00  1.1391954E-03
  0.0000000E+00  7.0000000E-10  2.2493443E-06  7.9370256E-05  1.8135712E-04  1.8168291E-04  5.3155388E-04  2.4277653E-03  1.3672928E-02  6.3204810E-04  2.2283352E-06  5.2000000E-09  0.0000000E+00  1.1391312E-03
  0.0000000E+00  8.0000000E-10  1.9976230E-06  7.2356694E-05  1.6578553E-04  1.6616867E-04  4.1598653E-04  2.1437450E-03  1.2096004E-02  5.6426056E-04  1.9769730E-06  4.5000000E-09  0.0000000E+00  1.1390664E-03
  0.0000000E+00  1.2002398E-09  1.7907195E-06  6.6313867E-05  1.5261891E-04  1.5306650E-04  3.3202671E-04  1.9093569E-03  1.0791373E-02  5.0761568E-04  1.7708011E-06  1.2002395E-09  0.0000000E+00  1.1390010E-03
  0.0000000E+00  1.9893545E-07  1.6069949E-06  6.0907445E-05  1.4074318E-04  1.4124577E-04  2.6615071E-04  1.7073997E-03  9.6649119E-03  4.5824751E-04  1.5883771E-06  1.9865727E-07  0.0000000E+00  1.1389241E-03
  0.0000000E+00  1.9964688E-07  1.4624496E-06  5.6408227E-05  1.3103574E-04  1.3156074E-04  2.2000265E-04  1.5452994E-03  8.7583919E-03  4.1818581E-04  1.4448851E-06  1.9845941E-07  0.0000000E+00  1.1388205E-03
  0.0000000E+00  1.9840011E-07  1.3371116E-06  5.2410869E-05  1.2243841E-04  1.2300751E-04  1.8406141E-04  1.4055325E-03  7.9752825E-03  3.8331176E-04  1.3207388E-06  1.9674564E-07  0.0000000E+00  1.1387161E-03
  0.0000000E+00  1.9462990E-07  1.2241047E-06  4.8841670E-05  1.1467927E-04  1.1528723E-04  1.5567141E-04  1.2841327E-03  7.2938924E-03  3.5274652E-04  1.2087239E-06  1.9262578E-07  0.0000000E+00  1.1386110E-03
  0.0000000E+00  1.9053700E-07  1.1275958E-06  4.5641537E-05  1.0765464E-04  1.0829692E-04  1.3296683E-04  1.1779901E-03  6.6971357E-03  3.2579853E-04  1.1133091E-06  1.8819742E-07  0.0000000E+00  1.1385051E-03
  0.0000000E+00  1.8433444E-07  1.0394037E-06  4.2759545E-05  1.0127101E-04  1.0194351E-04  1.1457924E-04  1.0846198E-03  6.1713819E-03  3.0190358E-04  1.0260510E-06  1.8190768E-07  0.0000000E+00  1.1383986E-03
  0.0000000E+00  1.7896036E-07  9.6342953E-07  4.0154844E-05  9.5453862E-05  9.6152974E-05  9.9557029E-05  1.0020348E-03  5.7056682E-03  2.8061162E-04  9.5083981E-07  1.7640972E-07  0.0000000E+00  1.1382913E-03
  0.0000000E+00  1.7200224E-07  8.9337456E-07  3.7791633E-05  9.0135025E-05  9.0857610E-05  8.7161626E-05  9.2861479E-04  5.2910774E-03  2.6154745E-04  8.8156829E-07  1.6944758E-07  0.0000000E+00  1.1381833E-03
  0.0000000E+00  1.6613059E-07  8.3221046E-07  3.5640931E-05  8.5259889E-05  8.6003139E-05  7.6911476E-05  8.6304156E-04  4.9203091E-03  2.4440731E-04  8.2125276E-07  1.6357261E-07  0.0000000E+00  1.1380745E-03
  0.0000000E+00  1.5906981E-07  7.7561828E-07  3.3677040E-05  8.0800446E-05  8.1552558E-05  6.8266610E-05  8.0422153E-04  4.5873257E-03  2.2893370E-04  7.6535284E-07  1.5665236E-07  0.0000000E+00  1.1379651E-03
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  0.0000000E+00  1.4768694E-07  6.8069095E-07  3.0227904E-05  7.2944556E-05  7.3728072E-05  5.4793409E-05  7.0337255E-04  4.0154506E-03  2.0217075E-04  6.7155226E-07  1.4529845E-07  0.0000000E+00  1.1377437E-03
  0.0000000E+00  1.4110621E-07  6.3825142E-07  2.8707829E-05  6.9447550E-05  7.0244093E-05  4.9475970E-05  6.5994518E-04  3.7688021E-03  1.9054690E-04  6.2975215E-07  1.3882115E-07  0.0000000E+00  1.1376320E-03
  0.0000000E+00  1.3582135E-07  6.0079634E-07  2.7305338E-05  6.6201519E-05  6.7009546E-05  4.4895251E-05  6.2049681E-04  3.5441581E-03  1.7991530E-04  5.9273610E-07  1.3356918E-07  0.0000000E+00  1.1375194E-03
  0.0000000E+00  1.3078991E-07  5.6647970E-07  2.6008186E-05  6.3187704E-05  6.4003078E-05  4.0908016E-05  5.8454207E-04  3.3389518E-03  1.7016361E-04  5.5890125E-07  1.2860285E-07  0.0000000E+00  1.1374060E-03
  0.0000000E+00  1.2495196E-07  5.3397548E-07  2.4805739E-05  6.0382233E-05  6.1206640E-05  3.7387728E-05  5.5162946E-04  3.1509832E-03  1.6119490E-04  5.2680868E-07  1.2288287E-07  0.0000000E+00  1.1372919E-03
  0.0000000E+00  1.2026080E-07  5.0500480E-07  2.3689120E-05  5.7762953E-05  5.8595277E-05  3.4314153E-05  5.2142426E-04  2.9783602E-03  1.5292759E-04  4.9823206E-07  1.1825243E-07  0.0000000E+00  1.1371769E-03
  0.0000000E+00  1.1582435E-07  4.7834829E-07  2.2650085E-05  5.5313071E-05  5.6152280E-05  3.1598317E-05  4.9363440E-04  2.8194432E-03  1.4528866E-04  4.7195615E-07  1.1389734E-07  0.0000000E+00  1.1370611E-03
  0.0000000E+00  1.1163205E-07  4.5374902E-07  2.1681477E-05  5.3077892E-05  5.3902682E-05  2.9188283E-05  4.6800705E-04  2.6728081E-03  1.3821509E-04  4.4771890E-07  1.0978273E-07  0.0000000E+00  1.1369445E-03
  6.0000259E-10  1.0672917E-07  4.3006450E-07  2.0776808E-05  5.0978339E-05  5.1809662E-05  2.7008209E-05  4.4432108E-04  2.5372113E-03  1.3165086E-04  4.2435319E-07  1.0495690E-07  6.0000258E-10  1.1368271E-03
  4.5866750E-09  1.0274435E-07  4.0854906E-07  1.9918642E-05  4.8959838E-05  4.9810606E-05  2.5019387E-05  4.2202457E-04  2.4093765E-03  1.2546369E-04  4.0310122E-07  1.0106044E-07  4.5820876E-09  1.1366519E-03
  6.2698282E-09  9.9146087E-08  3.8912027E-07  1.9132797E-05  4.7113754E-05  4.7969167E-05  2.3287196E-05  4.0184545E-04  2.2937122E-03  1.1982989E-04  3.8394076E-07  9.7542546E-08  6.2408440E-09  1.1363712E-03
  7.7191516E-09  9.5736138E-08  3.7100127E-07  1.8393358E-05  4.5374662E-05  4.6226243E-05  2.1724355E-05  3.8302901E-04  2.1858136E-03  1.1455787E-04  3.6608805E-07  9.4160151E-08  7.6469582E-09  1.1360888E-03
  8.9892052E-09  9.2480378E-08  3.5412309E-07  1.7696759E-05  4.3743370E-05  4.4594489E-05  2.0310282E-05  3.6545679E-04  2.0850098E-03  1.0961743E-04  3.4945607E-07  9.1003538E-08  8.9237794E-09  1.1358048E-03
  9.8226116E-09  8.8515723E-08  3.3741851E-07  1.7039626E-05  4.2194986E-05  4.3049673E-05  1.8992676E-05  3.4902189E-04  1.9906994E-03  1.0498151E-04  3.3297237E-07  8.7086301E-08  9.7496514E-09  1.1355190E-03
  1.0739975E-08  8.5521612E-08  3.2258131E-07  1.6419313E-05  4.0724844E-05  4.1582574E-05  1.7821586E-05  3.3363109E-04  1.9023456E-03  1.0062828E-04  3.1834298E-07  8.4156290E-08  1.0642229E-08  1.1352315E-03
  1.1529478E-08  8.2504185E-08  3.0865335E-07  1.5833018E-05  3.9327463E-05  4.0187742E-05  1.6753123E-05  3.1919816E-04  1.8194635E-03  9.6532966E-05  3.0461513E-07  8.1359901E-08  1.1440463E-08  1.1349422E-03
  1.2235413E-08  7.9812292E-08  2.9561512E-07  1.5278313E-05  3.7998157E-05  3.8860543E-05  1.5775998E-05  3.0564739E-04  1.7416169E-03  9.2675754E-05  2.9174794E-07  7.8542131E-08  1.2117718E-08  1.1346511E-03
  1.2849346E-08  7.7285988E-08  2.8334613E-07  1.4752946E-05  3.6732543E-05  3.7596630E-05  1.4880421E-05  2.9293321E-04  1.6684042E-03  8.9038293E-05  2.7968060E-07  7.6030769E-08  1.2729898E-08  1.1343583E-03
  1.3405383E-08  7.4865907E-08  2.7184735E-07  1.4254975E-05  3.5526777E-05  3.6392219E-05  1.4057848E-05  2.8096671E-04  1.5994849E-03  8.5604990E-05  2.6832087E-07  7.3689184E-08  1.3272939E-08  1.1340636E-03
  1.3317766E-08  7.1710320E-08  2.6015407E-07  1.3782390E-05  3.4376774E-05  3.5243214E-05  1.3267881E-05  2.6969051E-04  1.5345347E-03  8.2364549E-05  2.5676697E-07  7.0562715E-08  1.3185749E-08  1.1337671E-03
  1.3664879E-08  6.9463661E-08  2.4987737E-07  1.3333706E-05  3.3281625E-05  3.4146855E-05  1.2590435E-05  2.5905225E-04  1.4732470E-03  7.9302431E-05  2.4664450E-07  6.8374625E-08  1.3544608E-08  1.1334686E-03
  1.3983095E-08  6.7345595E-08  2.4018555E-07  1.2907257E-05  3.2236407E-05  3.3102122E-05  1.1962316E-05  2.4900588E-04  1.4153618E-03  7.6402822E-05  2.3710982E-07  6.6276884E-08  1.3845591E-08  1.1331685E-03
  1.4250900E-08  6.5322516E-08  2.3105611E-07  1.2501616E-05  3.1237613E-05  3.2103566E-05  1.1379006E-05  2.3950893E-04  1.3606359E-03  7.3654508E-05  2.2809946E-07  6.4283621E-08  1.4108714E-08  1.1328663E-03
  1.4481703E-08  6.3389339E-08  2.2241926E-07  1.2115456E-05  3.0282601E-05  3.1148517E-05  1.0836494E-05  2.3052267E-04  1.3088474E-03  7.1047246E-05  2.1958720E-07  6.2413805E-08  1.4346252E-08  1.1325622E-03
  1.4679982E-08  6.1560789E-08  2.1425881E-07  1.1747566E-05  2.9368842E-05  3.0234502E-05  1.0331205E-05  2.2201167E-04  1.2597934E-03  6.8571622E-05  2.1153117E-07  6.0610698E-08  1.4543937E-08  1.1322562E-03
  1.4861481E-08  5.9820056E-08  2.0655515E-07  1.1396816E-05  2.8494005E-05  2.9359220E-05  9.8599478E-06  2.1394348E-04  1.2132880E-03  6.6219009E-05  2.0391040E-07  5.8905301E-08  1.4723053E-08  1.1319482E-03
  1.4311492E-08  5.7311097E-08  1.9837861E-07  1.1054519E-05  2.7655544E-05  2.8520095E-05  9.3828541E-06  2.0628765E-04  1.1691599E-03  6.3980856E-05  1.9586037E-07  5.6426113E-08  1.4174310E-08  1.1316382E-03
  1.4389697E-08  5.5690581E-08  1.9141721E-07  1.0738696E-05  2.6852234E-05  2.7715954E-05  8.9686112E-06  1.9901839E-04  1.1272543E-03  6.1851025E-05  1.8898560E-07  5.4828684E-08  1.4260544E-08  1.1313262E-03
  1.4151168E-08  5.4122278E-08  1.8477679E-07  1.0436805E-05  2.6081810E-05  2.6944537E-05  8.5805670E-06  1.9210990E-04  1.0874265E-03  5.9822228E-05  1.8244672E-07  5.3316163E-08  1.4021460E-08  1.1310122E-03
  1.4211585E-08  5.2643014E-08  1.7848825E-07  1.0148049E-05  2.5342524E-05  2.6204098E-05  8.2166467E-06  1.8553905E-04  1.0495438E-03  5.7888214E-05  1.7624045E-07  5.1852641E-08  1.4074992E-08  1.1306961E-03
  1.4258448E-08  5.1236728E-08  1.7252845E-07  9.8716847E-06  2.4632722E-05  2.5493020E-05  7.8749772E-06  1.7928460E-04  1.0134839E-03  5.6043249E-05  1.7036044E-07  5.0474134E-08  1.4127404E-08  1.1303779E-03
  1.4289959E-08  4.9889905E-08  1.6684045E-07  9.6070182E-06  2.3950881E-05  2.4809770E-05  7.5538634E-06  1.7332682E-04  9.7913413E-04  5.4281993E-05  1.6475606E-07  4.9147925E-08  1.4153549E-08  1.1300576E-03
  0.0000000E+00  8.0000000E-10  1.6061883E-09  1.2887455E-04  2.7838530E-04  2.7831830E-04  1.3096010E-03  3.3364665E-03  1.9010606E-02  9.1252859E-04  1.6061689E-09  3.9000000E-09  0.0000000E+00  1.0172424E-03
  0.0000000E+00  8.0000000E-10  2.2366882E-06  1.1053627E-04  2.4250616E-04  2.4260227E-04  8.5999939E-04  2.7337388E-03  1.5642603E-02  7.6198978E-04  2.2297416E-06  4.2000000E-09  0.0000000E+00  1.0169530E-03
  0.0000000E+00  1.0000000E-09  1.8660692E-06  9.6506628E-05  2.1483932E-04  2.1503931E-04  6.1377126E-04  2.3136830E-03  1.3277929E-02  6.5348673E-04  1.8562464E-06  4.1000000E-09  0.0000000E+00  1.0168278E-03
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  0.0000000E+00  1.0000000E-09  1.3881698E-06  7.5864098E-05  1.7412398E-04  1.7449802E-04  3.4220621E-04  1.7275924E-03  9.9624029E-03  4.9900282E-04  1.3758815E-06  5.0000000E-09  0.0000000E+00  1.0165754E-03
  0.0000000E+00  8.0000000E-10  1.2238072E-06  6.8120526E-05  1.5828760E-04  1.5872847E-04  2.6530076E-04  1.5178453E-03  8.7702933E-03  4.4265701E-04  1.2118436E-06  4.4000000E-09  0.0000000E+00  1.0164482E-03
  0.0000000E+00  1.2001423E-09  1.0902377E-06  6.1597124E-05  1.4467708E-04  1.4517440E-04  2.0997547E-04  1.3456080E-03  7.7887604E-03  3.9588815E-04  1.0787333E-06  1.2001421E-09  0.0000000E+00  1.0163204E-03
  0.0000000E+00  1.1855668E-07  9.7235314E-07  5.5874125E-05  1.3251911E-04  1.3306332E-04  1.6700713E-04  1.1979328E-03  6.9450673E-03  3.5538006E-04  9.6157847E-07  1.1840384E-07  0.0000000E+00  1.0161821E-03
  0.0000000E+00  1.1729810E-07  8.8037410E-07  5.1199712E-05  1.2248110E-04  1.2305888E-04  1.3713880E-04  1.0803185E-03  6.2690852E-03  3.2270704E-04  8.7022193E-07  1.1667412E-07  0.0000000E+00  1.0160197E-03
  0.0000000E+00  1.1536856E-07  8.0127382E-07  4.7110827E-05  1.1367123E-04  1.1428291E-04  1.1404896E-04  9.7927669E-04  5.6874098E-03  2.9441623E-04  7.9186903E-07  1.1442741E-07  0.0000000E+00  1.0158565E-03
  0.0000000E+00  1.1204696E-07  7.2995632E-07  4.3511687E-05  1.0579784E-04  1.0644059E-04  9.5929384E-05  8.9181571E-04  5.1831716E-03  2.6974595E-04  7.2119536E-07  1.1089002E-07  0.0000000E+00  1.0156924E-03
  0.0000000E+00  1.0900848E-07  6.6978060E-07  4.0326192E-05  9.8770661E-05  9.9419150E-05  8.1525966E-05  8.1562129E-04  4.7431290E-03  2.4809844E-04  6.6162465E-07  1.0766325E-07  0.0000000E+00  1.0155276E-03
  0.0000000E+00  1.0476845E-07  6.1481496E-07  3.7491817E-05  9.2625212E-05  9.3298745E-05  6.9925132E-05  7.4893816E-04  4.3567563E-03  2.2899802E-04  6.0719231E-07  1.0331626E-07  0.0000000E+00  1.0153619E-03
  0.0000000E+00  1.0114739E-07  5.6785799E-07  3.4958187E-05  8.7077089E-05  8.7760827E-05  6.0497786E-05  6.9012047E-04  4.0156166E-03  2.1205471E-04  5.6081202E-07  9.9774205E-08  0.0000000E+00  1.0151954E-03
  0.0000000E+00  9.6636923E-08  5.2458277E-07  3.2683183E-05  8.2073081E-05  8.2776707E-05  5.2780925E-05  6.3796834E-04  3.7128689E-03  1.9694554E-04  5.1795845E-07  9.5190691E-08  0.0000000E+00  1.0150280E-03
  0.0000000E+00  9.2990009E-08  4.8718383E-07  3.0632395E-05  7.7499223E-05  7.8218433E-05  4.6404232E-05  5.9150775E-04  3.4429299E-03  1.8342162E-04  4.8102439E-07  9.1549258E-08  0.0000000E+00  1.0148598E-03
  0.0000000E+00  8.8618428E-08  4.5251495E-07  2.8776589E-05  7.3303085E-05  7.4037576E-05  4.1046276E-05  5.4993338E-04  3.2011963E-03  1.7127998E-04  4.4674858E-07  8.7214874E-08  0.0000000E+00  1.0146906E-03
  0.0000000E+00  8.5146938E-08  4.2228956E-07  2.7091583E-05  6.9441099E-05  7.0188844E-05  3.6536570E-05  5.1258135E-04  2.9838527E-03  1.6031660E-04  4.1687469E-07  8.3759128E-08  0.0000000E+00  1.0145206E-03
  0.0000000E+00  8.1789880E-08  3.9495344E-07  2.5556595E-05  6.5878006E-05  6.6637188E-05  3.2709466E-05  4.7889521E-04  2.7877082E-03  1.5038150E-04  3.8991325E-07  8.0463114E-08  0.0000000E+00  1.0143498E-03
  0.0000000E+00  7.7779024E-08  3.6924938E-07  2.4158145E-05  6.2582944E-05  6.3351996E-05  2.9455031E-05  4.4840739E-04  2.6100801E-03  1.4134788E-04  3.6453154E-07  7.6522492E-08  0.0000000E+00  1.0141780E-03
  0.0000000E+00  7.4690192E-08  3.4668568E-07  2.2888256E-05  5.9530260E-05  6.0307831E-05  2.6662402E-05  4.2072522E-04  2.4487012E-03  1.3310976E-04  3.4227320E-07  7.3478012E-08  0.0000000E+00  1.0140054E-03
  0.0000000E+00  7.1790867E-08  3.2617105E-07  2.1720532E-05  5.6696191E-05  5.7480994E-05  2.4238535E-05  3.9551272E-04  2.3016411E-03  1.2557482E-04  3.2199054E-07  7.0619563E-08  0.0000000E+00  1.0138319E-03
  0.0000000E+00  6.8336169E-08  3.0661959E-07  2.0644047E-05  5.4059731E-05  5.4850643E-05  2.2100861E-05  3.7248293E-04  2.1672484E-03  1.1866402E-04  3.0269008E-07  6.7169681E-08  0.0000000E+00  1.0136574E-03
  0.0000000E+00  6.5653590E-08  2.8937394E-07  1.9649530E-05  5.1603414E-05  5.2399454E-05  2.0241676E-05  3.5139142E-04  2.0441067E-03  1.1231045E-04  2.8565690E-07  6.4563550E-08  0.0000000E+00  1.0134820E-03
  0.0000000E+00  6.3148505E-08  2.7354717E-07  1.8728687E-05  4.9310764E-05  5.0111022E-05  1.8602867E-05  3.3202543E-04  1.9309911E-03  1.0645483E-04  2.7004681E-07  6.2093443E-08  0.0000000E+00  1.0133057E-03
  0.0000000E+00  6.0765055E-08  2.5898543E-07  1.7874315E-05  4.7167377E-05  4.7971075E-05  1.7151977E-05  3.1420142E-04  1.8268402E-03  1.0104600E-04  2.5568115E-07  5.9785302E-08  0.0000000E+00  1.0131285E-03
  6.0000142E-10  5.7892636E-08  2.4486154E-07  1.7080005E-05  4.5160121E-05  4.5966516E-05  1.5838627E-05  2.9776095E-04  1.7307295E-03  9.6038749E-05  2.4174137E-07  5.6935915E-08  6.0000142E-10  1.0129504E-03
  2.7960252E-09  5.5670459E-08  2.3217163E-07  1.6329155E-05  4.3239424E-05  4.4057661E-05  1.4648160E-05  2.8232315E-04  1.6402999E-03  9.1329545E-05  2.2922609E-07  5.4752290E-08  2.7914639E-09  1.0127205E-03
  3.6959416E-09  5.3670768E-08  2.2076952E-07  1.5644988E-05  4.1487265E-05  4.2306785E-05  1.3612950E-05  2.6837594E-04  1.5586481E-03  8.7051850E-05  2.1795313E-07  5.2772939E-08  3.6846322E-09  1.0123964E-03
  4.4620411E-09  5.1761707E-08  2.1013808E-07  1.5003757E-05  3.9834974E-05  4.0655227E-05  1.2680646E-05  2.5539266E-04  1.4826234E-03  8.3057533E-05  2.0746659E-07  5.0907786E-08  4.4294531E-09  1.0120705E-03
  5.1493708E-09  4.9779526E-08  2.0027008E-07  1.4401969E-05  3.8275210E-05  3.9095708E-05  1.1838593E-05  2.4328797E-04  1.4117296E-03  7.9322395E-05  1.9772103E-07  4.9151790E-08  5.1225197E-09  1.0117428E-03
  5.5529479E-09  4.7448868E-08  1.9038786E-07  1.3836412E-05  3.6800958E-05  3.7621237E-05  1.1051063E-05  2.3198510E-04  1.3455231E-03  7.5824319E-05  1.8798266E-07  4.6867395E-08  5.5043461E-09  1.0114133E-03
  6.0433702E-09  4.5810378E-08  1.8174191E-07  1.3304379E-05  3.5406742E-05  3.6226433E-05  1.0355610E-05  2.2141700E-04  1.2836087E-03  7.2544622E-05  1.7943586E-07  4.5050946E-08  5.9832534E-09  1.0110820E-03
  6.4621818E-09  4.4265297E-08  1.7365435E-07  1.2803242E-05  3.4086694E-05  3.4905430E-05  9.7221054E-06  2.1152204E-04  1.2256298E-03  6.9465419E-05  1.7146049E-07  4.3530789E-08  6.4098364E-09  1.0107489E-03
  6.8477952E-09  4.2806082E-08  1.6607675E-07  1.2330678E-05  3.2835727E-05  3.3653187E-05  9.1436573E-06  2.0224528E-04  1.1712665E-03  6.6570880E-05  1.6400563E-07  4.2109805E-08  6.7922940E-09  1.0104139E-03
  7.1810519E-09  4.1420853E-08  1.5898910E-07  1.1884570E-05  3.1649137E-05  3.2465055E-05  8.6142986E-06  1.9353971E-04  1.1202304E-03  6.3846721E-05  1.5700164E-07  4.0749250E-08  7.1155442E-09  1.0100770E-03
  7.4924389E-09  4.0126201E-08  1.5234278E-07  1.1463006E-05  3.0522685E-05  3.1336789E-05  8.1451096E-06  1.8536265E-04  1.0722608E-03  6.1279993E-05  1.5043394E-07  3.9479624E-08  7.4243746E-09  1.0097382E-03
  7.3573548E-09  3.8261961E-08  1.4545967E-07  1.1064162E-05  2.9452098E-05  3.0264139E-05  7.6871036E-06  1.7766789E-04  1.0271215E-03  5.8858563E-05  1.4365185E-07  3.7640117E-08  7.2879035E-09  1.0093975E-03
  7.5483048E-09  3.7040864E-08  1.3954730E-07  1.0686575E-05  2.8434337E-05  2.9244135E-05  7.2857368E-06  1.7041990E-04  9.8459986E-04  5.6572532E-05  1.3781092E-07  3.6456998E-08  7.4771794E-09  1.0090548E-03
  7.7236431E-09  3.5895986E-08  1.3398788E-07  1.0328717E-05  2.7465815E-05  2.8273172E-05  6.9141405E-06  1.6358500E-04  9.4450122E-04  5.4411820E-05  1.3233321E-07  3.5330375E-08  7.6539140E-09  1.0087102E-03
  7.8757285E-09  3.4814030E-08  1.2873626E-07  9.9892604E-06  2.6543445E-05  2.7348182E-05  6.5695610E-06  1.5713301E-04  9.0664893E-04  5.2367544E-05  1.2715372E-07  3.4265317E-08  7.8011906E-09  1.0083636E-03
  7.7130976E-09  3.3781400E-08  1.2380230E-07  9.6669750E-06  2.5664361E-05  2.6466336E-05  6.2495548E-06  1.5104909E-04  8.7088205E-04  5.0431617E-05  1.2227949E-07  3.3257967E-08  7.6393740E-09  1.0080150E-03
  7.8397355E-09  3.2808054E-08  1.1913813E-07  9.3607354E-06  2.4825947E-05  2.5625033E-05  5.9519479E-06  1.4531473E-04  8.3705353E-04  4.8596635E-05  1.1767903E-07  3.2299201E-08  7.7646746E-09  1.0076644E-03
  7.9615996E-09  3.1898709E-08  1.1473731E-07  9.0695063E-06  2.4025785E-05  2.4821850E-05  5.6748020E-06  1.3988477E-04  8.0502899E-04  4.6855794E-05  1.1335004E-07  3.1412252E-08  7.8913670E-09  1.0073116E-03
  7.5579438E-09  3.0399021E-08  1.0996820E-07  8.7922743E-06  2.3261269E-05  2.4054231E-05  5.3896738E-06  1.3473792E-04  7.7468479E-04  4.5202461E-05  1.0862330E-07  2.9932580E-08  7.4806013E-09  1.0069569E-03
  7.6162006E-09  2.9534643E-08  1.0600004E-07  8.5282767E-06  2.2530943E-05  2.3320699E-05  5.1464247E-06  1.2985618E-04  7.4590923E-04  4.3631690E-05  1.0470439E-07  2.9079068E-08  7.5388089E-09  1.0066000E-03
  7.6560636E-09  2.8709621E-08  1.0223292E-07  8.2766457E-06  2.1832558E-05  2.2619027E-05  4.9188736E-06  1.2522159E-04  7.1859809E-04  4.2137834E-05  1.0099009E-07  2.8277967E-08  7.5857314E-09  1.0062410E-03
  7.6972369E-09  2.7932811E-08  9.8668193E-08  8.0366305E-06  2.1164310E-05  2.1947423E-05  4.7057657E-06  1.2083353E-04  6.9265605E-04  4.0716015E-05  9.7469801E-08  2.7512044E-08  7.6271385E-09  1.0058798E-03
  7.7403283E-09  2.7190668E-08  9.5283457E-08  7.8075375E-06  2.0524515E-05  2.1304212E-05  4.5059684E-06  1.1666250E-04  6.6799530E-04  3.9361777E-05  9.4133034E-08  2.6791041E-08  7.6661936E-09  1.0055165E-03
  7.7661422E-09  2.6483548E-08  9.2073242E-08  7.5887206E-06  1.9911604E-05  2.0687833E-05  4.3184585E-06  1.1269271E-04  6.4453493E-04  3.8070951E-05  9.0971895E-08  2.6089040E-08  7.6993704E-09  1.0051510E-03
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  7.0000074E-10  2.9994914E-08  1.3295825E-07  1.3158462E-05  3.8179290E-05  3.8919514E-05  8.8418648E-06  1.9369192E-04  1.1349716E-03  6.7060565E-05  1.3134239E-07  2.9505192E-08  7.0000073E-10  8.8907580E-04
  1.8402564E-09  2.8829694E-08  1.2582594E-07  1.2551592E-05  3.6428425E-05  3.7173953E-05  8.1632816E-06  1.8340533E-04  1.0733493E-03  6.3624630E-05  1.2430590E-07  2.8354421E-08  1.8226034E-09  8.8882342E-04
  2.2893930E-09  2.7572420E-08  1.1942042E-07  1.2000888E-05  3.4836813E-05  3.5580407E-05  7.5741774E-06  1.7412410E-04  1.0178345E-03  6.0511391E-05  1.1799072E-07  2.7323053E-08  2.2800864E-09  8.8848816E-04
  2.6942687E-09  2.6608715E-08  1.1350431E-07  1.1486494E-05  3.3342003E-05  3.4083287E-05  7.0447199E-06  1.6549516E-04  9.6625379E-04  5.7611118E-05  1.1213696E-07  2.6160059E-08  2.6780929E-09  8.8815116E-04
  3.0579989E-09  2.5687208E-08  1.0800259E-07  1.1005322E-05  3.1936434E-05  3.2675058E-05  6.5674853E-06  1.5746002E-04  9.1825278E-04  5.4905121E-05  1.0671189E-07  2.5272836E-08  3.0432092E-09  8.8781238E-04
  3.3352989E-09  2.4361381E-08  1.0241527E-07  1.0554660E-05  3.0613141E-05  3.1348815E-05  6.1181113E-06  1.4996629E-04  8.7351534E-04  5.2376512E-05  1.0118781E-07  2.3955387E-08  3.2163283E-09  8.8747187E-04
  3.5848887E-09  2.3511028E-08  9.7618508E-08  1.0131936E-05  2.9366153E-05  3.0098622E-05  5.7250771E-06  1.4296789E-04  8.3176001E-04  5.0010782E-05  9.6446212E-08  2.3133605E-08  3.4633237E-09  8.8712959E-04
  3.8128903E-09  2.2713562E-08  9.3139784E-08  9.7349603E-06  2.8189737E-05  2.8918767E-05  5.3676940E-06  1.3642281E-04  7.9273388E-04  4.7794314E-05  9.2031261E-08  2.2355001E-08  3.6827539E-09  8.8678550E-04
  4.0182703E-09  2.1983279E-08  8.8969272E-08  9.3617153E-06  2.7078749E-05  2.7804148E-05  5.0518010E-06  1.3029360E-04  7.5621015E-04  4.5715038E-05  8.7914773E-08  2.1623532E-08  3.8837999E-09  8.8643952E-04
  4.1997742E-09  2.1281005E-08  8.5062984E-08  8.9932565E-06  2.6028449E-05  2.6750043E-05  4.7637489E-06  1.2454580E-04  7.2198077E-04  4.3761859E-05  8.4063178E-08  2.0942253E-08  4.0708775E-09  8.8609175E-04
  4.0744813E-09  2.0622629E-08  8.1417218E-08  8.6652528E-06  2.5034711E-05  2.5752358E-05  4.4991354E-06  1.1915040E-04  6.8987003E-04  4.1925375E-05  8.0457374E-08  2.0295422E-08  3.9365561E-09  8.8574211E-04
  3.9384049E-09  1.9542414E-08  7.7548814E-08  8.3557323E-06  2.4093512E-05  2.4807091E-05  4.2367146E-06  1.1407966E-04  6.5971138E-04  4.0196479E-05  7.6630721E-08  1.9240050E-08  3.9069809E-09  8.8539058E-04
  4.0560901E-09  1.8936213E-08  7.4313574E-08  8.0632417E-06  2.3201365E-05  2.3910765E-05  4.0104872E-06  1.0930781E-04  6.3134715E-04  3.8567054E-05  7.3431307E-08  1.8636694E-08  4.0165118E-09  8.8503720E-04
  4.1512615E-09  1.8356985E-08  7.1274892E-08  7.7866230E-06  2.2354950E-05  2.3060075E-05  3.8014005E-06  1.0481275E-04  6.0464480E-04  3.7029782E-05  7.0431967E-08  1.8076610E-08  4.1219198E-09  8.8468186E-04
  4.2410133E-09  1.7817968E-08  6.8418485E-08  7.5247677E-06  2.1551253E-05  2.2252030E-05  3.6078523E-06  1.0057397E-04  5.7948050E-04  3.5577991E-05  6.7620326E-08  1.7538835E-08  4.2021767E-09  8.8432452E-04
  4.3331271E-09  1.7313980E-08  6.5740803E-08  7.2766630E-06  2.0787505E-05  2.1483879E-05  3.4284230E-06  9.6572810E-05  5.5574167E-04  3.4205573E-05  6.4971103E-08  1.7039894E-08  4.2936072E-09  8.8396529E-04
  4.4089703E-09  1.6829170E-08  6.3212098E-08  7.0413775E-06  2.0061150E-05  2.0753074E-05  3.2618511E-06  9.2792267E-05  5.3332561E-04  3.2906985E-05  6.2474718E-08  1.6573366E-08  4.3697895E-09  8.8360409E-04
  4.4806815E-09  1.6373027E-08  6.0829606E-08  6.8180572E-06  1.9369843E-05  2.0057275E-05  3.1070133E-06  8.9216789E-05  5.1213862E-04  3.1677129E-05  6.0136804E-08  1.6140220E-08  4.3543633E-09  8.8324084E-04
  4.1946368E-09  1.5603547E-08  5.8150804E-08  6.6059481E-06  1.8711293E-05  1.9394206E-05  2.9435458E-06  8.5831913E-05  4.9209471E-04  3.0511135E-05  5.7477707E-08  1.5373693E-08  4.1558335E-09  8.8287556E-04
  4.2307112E-09  1.5176623E-08  5.6000820E-08  6.4042734E-06  1.8083715E-05  1.8762085E-05  2.8078209E-06  8.2625125E-05  4.7311610E-04  2.9405116E-05  5.5356462E-08  1.4952999E-08  4.1882879E-09  8.8250826E-04
  4.2689491E-09  1.4774881E-08  5.3977796E-08  6.2123968E-06  1.7485143E-05  1.8158959E-05  2.6810646E-06  7.9584254E-05  4.5513055E-04  2.8354955E-05  5.3362284E-08  1.4553341E-08  4.2286154E-09  8.8213883E-04
  4.2944831E-09  1.4384836E-08  5.2060562E-08  6.0297019E-06  1.6913845E-05  1.7583102E-05  2.5625530E-06  7.6698324E-05  4.3807200E-04  2.7357031E-05  5.1467959E-08  1.4185718E-08  4.2622690E-09  8.8176734E-04
  4.3252370E-09  1.4025376E-08  5.0244368E-08  5.8556250E-06  1.6368236E-05  1.7032936E-05  2.4516336E-06  7.3957256E-05  4.2187971E-04  2.6408015E-05  4.9679315E-08  1.3830824E-08  4.2922614E-09  8.8139371E-04
  4.3559746E-09  1.3689558E-08  4.8532651E-08  5.6896440E-06  1.5846821E-05  1.6506978E-05  2.3477172E-06  7.1351753E-05  4.0649780E-04  2.5504837E-05  4.7988578E-08  1.3494249E-08  4.3202995E-09  8.8101790E-04
  0.0000000E+00  4.0000000E-10  1.2021743E-09  9.4313657E-05  2.6783569E-04  2.6783159E-04  5.3620295E-04  1.5990474E-03  9.5785217E-03  5.3112433E-04  1.2021696E-09  1.9000000E-09  0.0000000E+00  7.7285695E-04
  0.0000000E+00  8.0000000E-10  7.8613111E-07  7.8890025E-05  2.2628645E-04  2.2643061E-04  3.3877604E-04  1.2897144E-03  7.7418771E-03  4.3507635E-04  7.8393964E-07  3.1000000E-09  0.0000000E+00  7.7252011E-04
  0.0000000E+00  7.0000000E-10  6.4068766E-07  6.7417291E-05  1.9625478E-04  1.9651230E-04  2.3428342E-04  1.0790349E-03  6.4780009E-03  3.6732001E-04  6.3753939E-07  3.4000000E-09  0.0000000E+00  7.7235100E-04
  0.0000000E+00  6.0000000E-10  5.3640703E-07  5.8354777E-05  1.7209535E-04  1.7244133E-04  1.6776306E-04  9.1730335E-04  5.5049035E-03  3.1464654E-04  5.3287185E-07  4.6000000E-09  0.0000000E+00  7.7218120E-04
  0.0000000E+00  5.0000000E-10  4.5856038E-07  5.1075633E-05  1.5233889E-04  1.5275449E-04  1.2385497E-04  7.9085562E-04  4.7393331E-03  2.7285621E-04  4.5503327E-07  3.9000000E-09  0.0000000E+00  7.7201070E-04
  0.0000000E+00  5.0000000E-10  3.9802699E-07  4.5138916E-05  1.3595033E-04  1.3642113E-04  9.3900309E-05  6.8942312E-04  4.1257476E-03  2.3911000E-04  3.9459122E-07  3.0000000E-09  0.0000000E+00  7.7183952E-04
  0.0000000E+00  1.2000425E-09  3.4974749E-07  4.0230079E-05  1.2229126E-04  1.2280101E-04  7.2851766E-05  6.0674589E-04  3.6260247E-03  2.1143887E-04  3.4659284E-07  1.2000424E-09  0.0000000E+00  7.7166770E-04
  0.0000000E+00  3.6235372E-08  3.0770190E-07  3.5996878E-05  1.1033243E-04  1.1087623E-04  5.6905588E-05  5.3633012E-04  3.2008405E-03  1.8774307E-04  3.0472059E-07  3.6188157E-08  0.0000000E+00  7.7148774E-04
  0.0000000E+00  3.4900505E-08  2.7555262E-07  3.2597190E-05  1.0058179E-04  1.0115500E-04  4.6021167E-05  4.8045093E-04  2.8635587E-03  1.6884240E-04  2.7279086E-07  3.4731286E-08  0.0000000E+00  7.7128927E-04
  0.0000000E+00  3.3566879E-08  2.4836744E-07  2.9666204E-05  9.2096665E-05  9.2690182E-05  3.7746000E-05  4.3275645E-04  2.5759039E-03  1.5263894E-04  2.4581118E-07  3.3390977E-08  0.0000000E+00  7.7109002E-04
  0.0000000E+00  3.2043990E-08  2.2379547E-07  2.7121899E-05  8.4654496E-05  8.5266959E-05  3.1351840E-05  3.9172888E-04  2.3286505E-03  1.3864242E-04  2.2142976E-07  3.1693999E-08  0.0000000E+00  7.7088992E-04
  0.0000000E+00  3.0774082E-08  2.0366146E-07  2.4898271E-05  7.8075604E-05  7.8703062E-05  2.6341145E-05  3.5618629E-04  2.1146139E-03  1.2646932E-04  2.0144824E-07  3.0422605E-08  0.0000000E+00  7.7068905E-04
  0.0000000E+00  2.9112524E-08  1.8513538E-07  2.2940273E-05  7.2230745E-05  7.2869762E-05  2.2356232E-05  3.2519566E-04  1.9281313E-03  1.1581575E-04  1.8312966E-07  2.8731550E-08  0.0000000E+00  7.7048728E-04
  0.0000000E+00  2.7933736E-08  1.6976899E-07  2.1230804E-05  6.7013994E-05  6.7661832E-05  1.9174310E-05  2.9801481E-04  1.7646951E-03  1.0643926E-04  1.6786682E-07  2.7529012E-08  0.0000000E+00  7.7028472E-04
  0.0000000E+00  2.6281176E-08  1.5550130E-07  1.9711086E-05  6.2337939E-05  6.2992314E-05  1.6586605E-05  2.7404571E-04  1.6206791E-03  9.8143317E-05  1.5374283E-07  2.5912897E-08  0.0000000E+00  7.7008128E-04
  0.0000000E+00  2.5170550E-08  1.4347047E-07  1.8353553E-05  5.8130087E-05  5.8789020E-05  1.4465857E-05  2.5280391E-04  1.4931429E-03  9.0768388E-05  1.4185227E-07  2.4791195E-08  0.0000000E+00  7.6987701E-04
  0.0000000E+00  2.3696946E-08  1.3224495E-07  1.7136152E-05  5.4329560E-05  5.4991443E-05  1.2698009E-05  2.3389204E-04  1.3796801E-03  8.4182897E-05  1.3077926E-07  2.3334117E-08  0.0000000E+00  7.6967190E-04
  0.0000000E+00  2.2671883E-08  1.2267576E-07  1.6039893E-05  5.0885287E-05  5.1548721E-05  1.1225587E-05  2.1698314E-04  1.2783077E-03  7.8278294E-05  1.2127949E-07  2.2312663E-08  0.0000000E+00  7.6946586E-04
  0.0000000E+00  2.1704873E-08  1.1413684E-07  1.5049274E-05  4.7753889E-05  4.8417721E-05  9.9894606E-06  2.0180525E-04  1.1873789E-03  7.2963938E-05  1.1283931E-07  2.1380713E-08  0.0000000E+00  7.6925901E-04
  0.0000000E+00  2.0448252E-08  1.0599416E-07  1.4151272E-05  4.4898471E-05  4.5561728E-05  8.9361841E-06  1.8813084E-04  1.1055173E-03  6.8163711E-05  1.0478901E-07  2.0215132E-08  0.0000000E+00  7.6905122E-04
  0.0000000E+00  1.9575700E-08  9.9026870E-08  1.3334397E-05  4.2287440E-05  4.2949302E-05  8.0453386E-06  1.7576904E-04  1.0315661E-03  6.3813667E-05  9.7907239E-08  1.9369757E-08  0.0000000E+00  7.6884261E-04
  0.0000000E+00  1.8889973E-08  9.2728301E-08  1.2589260E-05  3.9893633E-05  4.0553393E-05  7.2771808E-06  1.6455785E-04  9.6454626E-04  5.9859312E-05  9.1684738E-08  1.8593810E-08  0.0000000E+00  7.6863309E-04
  0.0000000E+00  1.7816647E-08  8.6648493E-08  1.1907809E-05  3.7695869E-05  3.8351838E-05  6.6001381E-06  1.5435954E-04  9.0362531E-04  5.6254110E-05  8.5665363E-08  1.7529523E-08  0.0000000E+00  7.6842259E-04
  0.0000000E+00  1.7095370E-08  8.1429941E-08  1.1282772E-05  3.5672458E-05  3.6325350E-05  6.0174032E-06  1.4506221E-04  8.4809231E-04  5.2958404E-05  8.0484952E-08  1.6820711E-08  0.0000000E+00  7.6821126E-04
  0.0000000E+00  1.6440385E-08  7.6674212E-08  1.0708172E-05  3.3804156E-05  3.4453548E-05  5.5071695E-06  1.3657163E-04  7.9733603E-04  4.9937833E-05  7.5792296E-08  1.6176076E-08  0.0000000E+00  7.6799898E-04
  0.0000000E+00  1.5632884E-08  7.2333903E-08  1.0178727E-05  3.2075505E-05  3.2721039E-05  5.0579304E-06  1.2878538E-04  7.5082964E-04  4.7162732E-05  7.1502669E-08  1.5579951E-08  0.0000000E+00  7.6778579E-04
  1.2000004E-09  1.4744819E-08  6.8008688E-08  9.6899413E-06  3.0472913E-05  3.1114299E-05  4.6492738E-06  1.2162812E-04  7.0811641E-04  4.4607253E-05  6.7231967E-08  1.4708903E-08  1.2000004E-09  7.6757163E-04
  1.7461068E-09  1.4179519E-08  6.4252481E-08  9.2303299E-06  2.8955717E-05  2.9597158E-05  4.2852808E-06  1.1492690E-04  6.6810936E-04  4.2215676E-05  6.3518842E-08  1.3952162E-08  1.7452515E-09  7.6731814E-04
  1.6727912E-09  1.3673161E-08  6.0908569E-08  8.8145773E-06  2.7582731E-05  2.8219592E-05  3.9702490E-06  1.0889333E-04  6.3215506E-04  4.0054432E-05  6.0212043E-08  1.3461808E-08  1.6706525E-09  7.6699291E-04
  1.8740698E-09  1.3202206E-08  5.7792064E-08  8.4272545E-06  2.6299376E-05  2.6931425E-05  3.6876246E-06  1.0329515E-04  5.9883507E-04  3.8045961E-05  5.7143821E-08  1.3000887E-08  1.8692217E-09  7.6666609E-04
  2.0596338E-09  1.2773053E-08  5.4928712E-08  8.0658794E-06  2.5098148E-05  2.5725234E-05  3.4333559E-06  9.8092501E-05  5.6792163E-04  3.6176537E-05  5.4319193E-08  1.2572800E-08  1.9544053E-09  7.6633763E-04
  2.1259766E-09  1.2054624E-08  5.1958139E-08  7.7283321E-06  2.3972350E-05  2.4594323E-05  3.1920693E-06  9.3249845E-05  5.3916986E-04  3.4433854E-05  5.1375148E-08  1.1865923E-08  2.4148649E-09  7.6600752E-04
  1.9531323E-09  1.1649583E-08  4.9466125E-08  7.4124284E-06  2.2915953E-05  2.3532707E-05  2.9892614E-06  8.8735768E-05  5.1238911E-04  3.2807086E-05  4.8910272E-08  1.1471517E-08  2.2405996E-09  7.6567577E-04
  2.0680785E-09  1.1272959E-08  4.7142279E-08  7.1164760E-06  2.1923496E-05  2.2534937E-05  2.8056979E-06  8.4521907E-05  4.8740856E-04  3.1286386E-05  4.6620792E-08  1.1099625E-08  2.0514604E-09  7.6534230E-04
  2.1766988E-09  1.0923201E-08  4.4989585E-08  6.8388639E-06  2.0990027E-05  2.1596106E-05  2.6380386E-06  8.0582939E-05  4.6407539E-04  2.9862950E-05  4.4488520E-08  1.0755819E-08  2.1620096E-09  7.6500710E-04
  2.2787404E-09  1.0599183E-08  4.2978517E-08  6.5781404E-06  2.0111084E-05  2.0711740E-05  2.4845967E-06  7.6896091E-05  4.4225236E-04  2.8528860E-05  4.2501707E-08  1.0440898E-08  2.1610635E-09  7.6467022E-04
  2.3735183E-09  1.0295075E-08  4.1105890E-08  6.3329927E-06  1.9282598E-05  1.9877804E-05  2.3439031E-06  7.3440897E-05  4.2181599E-04  2.7276984E-05  4.0653838E-08  1.0139936E-08  2.2558456E-09  7.6433156E-04
  2.2682004E-09  9.8102649E-09  3.9049660E-08  6.1023292E-06  1.8500864E-05  1.9090602E-05  2.2021403E-06  7.0198779E-05  4.0265484E-04  2.6100820E-05  3.8622028E-08  9.5636018E-09  2.5497663E-09  7.6399120E-04
  2.3243499E-09  9.5226062E-09  3.7391969E-08  5.8848841E-06  1.7762529E-05  1.8346799E-05  2.0822544E-06  6.7153232E-05  3.8466865E-04  2.4994635E-05  3.6983824E-08  9.2845214E-09  2.6062307E-09  7.6364903E-04
  2.3778524E-09  9.2545947E-09  3.5836137E-08  5.6797666E-06  1.7069362E-05  1.7643324E-05  1.9715534E-06  6.4289059E-05  3.6776627E-04  2.3953090E-05  3.5450547E-08  9.0260140E-09  2.3620042E-09  7.6330503E-04
  2.4314746E-09  9.0046713E-09  3.4385120E-08  5.4860855E-06  1.6417760E-05  1.6983475E-05  1.8692507E-06  6.1592531E-05  3.5186523E-04  2.2971370E-05  3.4012122E-08  8.7788902E-09  2.4121188E-09  7.6295925E-04
  2.4824719E-09  8.7714670E-09  3.3021594E-08  5.3030219E-06  1.5800247E-05  1.6360944E-05  1.7745728E-06  5.9051205E-05  3.3689056E-04  2.2045108E-05  3.2667946E-08  8.5514557E-09  2.4627179E-09  7.6261163E-04
  2.5304281E-09  8.5591043E-09  3.1744229E-08  5.1298366E-06  1.5214548E-05  1.5770248E-05  1.6868334E-06  5.6653740E-05  3.2277410E-04  2.1170318E-05  3.1408131E-08  8.3408220E-09  2.5142317E-09  7.6226216E-04
  2.5775382E-09  8.3556231E-09  3.0543624E-08  4.9658469E-06  1.4658567E-05  1.5209295E-05  1.6054218E-06  5.4389783E-05  3.0945371E-04  2.0343353E-05  3.0217606E-08  8.1429113E-09  2.4594924E-09  7.6191081E-04
  2.3825426E-09  7.9725058E-09  2.9117662E-08  4.8105222E-06  1.4130359E-05  1.4676140E-05  1.5170102E-06  5.2249800E-05  2.9687253E-04  1.9560828E-05  2.8806372E-08  7.6606561E-09  2.6630826E-09  7.6155759E-04
  2.4065217E-09  7.7756073E-09  2.8033145E-08  4.6631091E-06  1.3628185E-05  1.4169054E-05  1.4457186E-06  5.0225356E-05  2.8497905E-04  1.8819951E-05  2.7737231E-08  7.4702814E-09  2.6903646E-09  7.6120244E-04
  2.4297781E-09  7.5908818E-09  2.7013425E-08  4.5231687E-06  1.3150391E-05  1.3686383E-05  1.3792474E-06  4.8308441E-05  2.7372565E-04  1.8118069E-05  2.6727875E-08  7.2873238E-09  2.4137146E-09  7.6084530E-04
  2.4555713E-09  7.4249198E-09  2.6057060E-08  4.3902179E-06  1.2695460E-05  1.3226620E-05  1.3172042E-06  4.6491807E-05  2.6306880E-04  1.7452231E-05  2.5779000E-08  7.1255422E-09  2.4377323E-09  7.6048624E-04
  2.4765122E-09  7.2590550E-09  2.5140237E-08  4.2638085E-06  1.2261995E-05  1.2788370E-05  1.2592359E-06  4.4768789E-05  2.5296858E-04  1.6820080E-05  2.4885452E-08  6.9669752E-09  2.4603713E-09  7.6012521E-04
  2.5007889E-09  7.1093853E-09  2.4282631E-08  4.1435325E-06  1.1848702E-05  1.2370342E-05  1.2050240E-06  4.3133261E-05  2.4338828E-04  1.6219445E-05  2.4035755E-08  6.8176728E-09  2.4831316E-09  7.5976215E-04
  0.0000000E+00  1.5000000E-09  1.2011779E-09  7.3061765E-05  2.4304238E-04  2.4304128E-04  3.1525807E-04  1.0584404E-03  6.3472380E-03  3.7840730E-04  1.2011755E-09  3.6000000E-09  0.0000000E+00  6.5415667E-04
  0.0000000E+00  1.4000000E-09  4.2609779E-07  6.0423015E-05  1.9945267E-04  1.9959685E-04  1.9578168E-04  8.4945622E-04  5.0905237E-03  3.0691762E-04  4.2505985E-07  4.0000000E-09  0.0000000E+00  6.5372401E-04
  0.0000000E+00  1.4000000E-09  3.4284719E-07  5.1169426E-05  1.7051059E-04  1.7076031E-04  1.3301579E-04  7.0622386E-04  4.2242093E-03  2.5673620E-04  3.4136286E-07  4.6000000E-09  0.0000000E+00  6.5355971E-04
  0.0000000E+00  2.4000000E-09  2.8384517E-07  4.3937454E-05  1.4759302E-04  1.4792165E-04  9.3710852E-05  5.9662514E-04  3.5623087E-03  2.1807262E-04  2.8220707E-07  5.0000000E-09  0.0000000E+00  6.5339487E-04
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  0.0000000E+00  1.8000000E-09  2.0689389E-07  3.3529700E-05  1.1401753E-04  1.1445016E-04  5.1001631E-05  4.4270417E-04  2.6336694E-03  1.6326903E-04  2.0527424E-07  4.7000000E-09  0.0000000E+00  6.5306328E-04
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  1.6397958E-09  5.8375007E-09  2.1411633E-08  4.7585679E-06  1.5185844E-05  1.5649913E-05  1.2881971E-06  4.7149610E-05  2.6848236E-04  1.8327148E-05  2.1201120E-08  5.7649306E-09  1.6350287E-09  6.4664085E-04
  1.6936905E-09  5.7015723E-09  2.0456472E-08  4.5778648E-06  1.4513564E-05  1.4972176E-05  1.2119583E-06  4.4899832E-05  2.5531341E-04  1.7469786E-05  2.0256639E-08  5.6358600E-09  1.6860126E-09  6.4633272E-04
  1.7459425E-09  5.5812838E-09  1.9569954E-08  4.4084354E-06  1.3881731E-05  1.4334923E-05  1.1422052E-06  4.2796079E-05  2.4300961E-04  1.6667191E-05  1.9381566E-08  5.5138425E-09  1.7381501E-09  6.4602301E-04
  1.6691413E-09  5.2706710E-09  1.8544457E-08  4.2494860E-06  1.3287280E-05  1.3735103E-05  1.0701032E-06  4.0826424E-05  2.3149981E-04  1.5914953E-05  1.8363216E-08  5.2111227E-09  1.6609022E-09  6.4571174E-04
  1.7012512E-09  5.1520713E-09  1.7762278E-08  4.0999864E-06  1.2727265E-05  1.3169761E-05  1.0106714E-06  3.8979564E-05  2.2071651E-04  1.5209437E-05  1.7585113E-08  5.0918972E-09  1.6934435E-09  6.4539892E-04
  1.7324551E-09  5.0426619E-09  1.7032729E-08  3.9593169E-06  1.2199219E-05  1.2636447E-05  9.5594615E-07  3.7246094E-05  2.1060367E-04  1.4546857E-05  1.6863976E-08  4.9837467E-09  1.7239394E-09  6.4508443E-04
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  1.7914623E-09  4.8480913E-09  1.5704135E-08  3.7018872E-06  1.1229995E-05  1.1656873E-05  8.5887831E-07  3.4085021E-05  1.9218503E-04  1.3336734E-05  1.5556657E-08  4.7920326E-09  1.7836989E-09  6.4445064E-04
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  1.8520030E-09  4.5821348E-09  1.4551373E-08  3.4626213E-06  1.0363407E-05  1.0780206E-05  7.7590442E-07  3.1286991E-05  1.7588108E-04  1.2261622E-05  1.4417381E-08  4.6345147E-09  1.8457654E-09  6.4381027E-04
  1.7237144E-09  4.4166554E-09  1.3834532E-08  3.3574887E-06  9.9642869E-06  1.0376155E-05  7.3057503E-07  3.0006518E-05  1.6842621E-04  1.1768702E-05  1.3705774E-08  4.3721790E-09  1.7167595E-09  6.4348753E-04
  1.7406645E-09  4.3369489E-09  1.3331006E-08  3.2579071E-06  9.5858981E-06  9.9929098E-06  6.9566440E-07  2.8797165E-05  1.6139173E-04  1.1302763E-05  1.3208097E-08  4.2943016E-09  1.7335814E-09  6.4316305E-04
  1.7566776E-09  4.1660589E-09  1.2859311E-08  3.1635775E-06  9.2268885E-06  9.6291190E-06  6.6318345E-07  2.7653918E-05  1.5474787E-04  1.0861931E-05  1.2742011E-08  4.2228227E-09  1.7496510E-09  6.4283685E-04
  1.7734242E-09  4.0978092E-09  1.2415589E-08  3.0741485E-06  8.8860015E-06  9.2835267E-06  6.3293298E-07  2.6572220E-05  1.4846742E-04  1.0444501E-05  1.2302067E-08  4.1566097E-09  1.7671640E-09  6.4250896E-04
  1.7919468E-09  4.0365443E-09  1.1997712E-08  2.9892978E-06  8.5620786E-06  8.9549735E-06  6.0473390E-07  2.5547890E-05  1.4252543E-04  1.0048898E-05  1.1889624E-08  3.9980431E-09  1.7848988E-09  6.4217927E-04
  1.8094186E-09  3.9808810E-09  1.1606288E-08  2.8890171E-06  8.2540482E-06  8.6423927E-06  5.7842474E-07  2.4577089E-05  1.3689903E-04  9.6736831E-06  1.1499952E-08  3.9420198E-09  1.8026867E-09  6.4184777E-04
  0.0000000E+00  1.6000000E-09  1.2005753E-09  5.3686373E-05  1.9934480E-04  1.9934460E-04  1.7116271E-04  6.6475072E-04  3.9553672E-03  2.5357146E-04  1.2005740E-09  4.4000000E-09  0.0000000E+00  5.3974507E-04
  0.0000000E+00  2.0000000E-09  2.0863806E-07  4.3658288E-05  1.6315319E-04  1.6328348E-04  1.0298094E-04  5.2710138E-04  3.1260011E-03  2.0274012E-04  2.0816664E-07  4.9000000E-09  0.0000000E+00  5.3935804E-04
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  0.0000000E+00  5.5358785E-09  2.4898193E-08  7.1058347E-06  2.5791893E-05  2.6203979E-05  2.2866980E-06  6.9805247E-05  4.0000586E-04  2.7950738E-05  2.4672510E-08  5.4736502E-09  0.0000000E+00  5.3654636E-04
  0.0000000E+00  5.2227481E-09  2.2972581E-08  6.6630446E-06  2.4021989E-05  2.4429213E-05  2.0344426E-06  6.4688674E-05  3.6991010E-04  2.5923929E-05  2.2754102E-08  5.1617854E-09  0.0000000E+00  5.3636911E-04
  0.0000000E+00  4.8572531E-09  2.1395569E-08  6.2632796E-06  2.2420882E-05  2.2822981E-05  1.8226291E-06  6.0091675E-05  3.4290824E-04  2.4100649E-05  2.1203790E-08  4.8098491E-09  0.0000000E+00  5.3619120E-04
  0.0000000E+00  4.7246317E-09  1.9992029E-08  5.9012782E-06  2.0968036E-05  2.1364836E-05  1.6411835E-06  5.5946493E-05  3.1859912E-04  2.2454980E-05  1.9808597E-08  4.6704396E-09  0.0000000E+00  5.3601255E-04
  0.0000000E+00  4.4636405E-09  1.8578552E-08  5.5725742E-06  1.9645961E-05  2.0037339E-05  1.4805921E-06  5.2196837E-05  2.9664383E-04  2.0964985E-05  1.8410888E-08  4.4105916E-09  0.0000000E+00  5.3583320E-04
  0.0000000E+00  4.3336207E-09  1.7426760E-08  5.2731219E-06  1.8439594E-05  1.8825464E-05  1.3443403E-06  4.8794844E-05  2.7675468E-04  1.9611932E-05  1.7269266E-08  4.2877869E-09  0.0000000E+00  5.3565310E-04
  0.0000000E+00  4.2207931E-09  1.6386658E-08  4.9996559E-06  1.7336013E-05  1.7716340E-05  1.2255696E-06  4.5699599E-05  2.5868606E-04  1.8379852E-05  1.6241786E-08  4.1759534E-09  0.0000000E+00  5.3547235E-04
  0.0000000E+00  4.1226203E-09  1.5450857E-08  4.7492988E-06  1.6324040E-05  1.6698808E-05  1.1215519E-06  4.2875982E-05  2.4222742E-04  1.7254993E-05  1.5313920E-08  4.0759501E-09  0.0000000E+00  5.3529078E-04
  1.2000001E-09  3.9025914E-09  1.4460950E-08  4.5196280E-06  1.5393979E-05  1.5763207E-05  1.0256324E-06  4.0293723E-05  2.2719743E-04  1.6225517E-05  1.4333005E-08  3.8599563E-09  1.2000001E-09  5.3510853E-04
  1.2978277E-09  3.8051797E-09  1.3659741E-08  4.3049483E-06  1.4521305E-05  1.4886644E-05  9.4299524E-07  3.7886210E-05  2.1319626E-04  1.5265460E-05  1.3537276E-08  3.7682531E-09  1.2962778E-09  5.3489871E-04
  1.0448560E-09  3.7229359E-09  1.2947240E-08  4.1119373E-06  1.3737597E-05  1.4097530E-05  8.7352551E-07  3.5730747E-05  2.0068464E-04  1.4404902E-05  1.2827884E-08  3.6850635E-09  1.0429940E-09  5.3463882E-04
  1.0921891E-09  3.6466268E-09  1.2293610E-08  3.9331455E-06  1.3010716E-05  1.3365263E-05  8.1121124E-07  3.3740181E-05  1.8914641E-04  1.3609644E-05  1.2184467E-08  3.6132672E-09  1.0906571E-09  5.3437767E-04
  1.1363349E-09  3.5815817E-09  1.1693521E-08  3.7672568E-06  1.2335480E-05  1.2684682E-05  7.5517806E-07  3.1898704E-05  1.7848720E-04  1.2873473E-05  1.1592295E-08  3.5467589E-09  1.1349746E-09  5.3411527E-04
  1.1384507E-09  3.3987211E-09  1.1018553E-08  3.6131704E-06  1.1707306E-05  1.2051213E-05  6.9990447E-07  3.0192343E-05  1.6862366E-04  1.2190907E-05  1.0922216E-08  3.3649141E-09  1.1361921E-09  5.3385163E-04
  1.1677681E-09  3.3336825E-09  1.0500506E-08  3.4697098E-06  1.1122036E-05  1.1460706E-05  6.5372095E-07  2.8608691E-05  1.5948187E-04  1.1557034E-05  1.0411821E-08  3.3027230E-09  1.1658593E-09  5.3358666E-04
  1.1957010E-09  3.2743619E-09  1.0024200E-08  3.3360060E-06  1.0576001E-05  1.0909505E-05  6.1183087E-07  2.7136694E-05  1.5099603E-04  1.0967509E-05  9.9392565E-09  3.2460312E-09  1.1933387E-09  5.3332045E-04
  1.2238312E-09  3.2212274E-09  9.5839320E-09  3.2112242E-06  1.0065903E-05  1.0394310E-05  5.7375762E-07  2.5766494E-05  1.4310753E-04  1.0418460E-05  9.5047964E-09  3.1956442E-09  1.2217481E-09  5.3305286E-04
  1.2519350E-09  3.0752266E-09  9.1780096E-09  3.0946158E-06  9.5887619E-06  9.9121588E-06  5.3908879E-07  2.4489276E-05  1.3576399E-04  9.9068036E-06  9.1007522E-09  3.1492341E-09  1.2490336E-09  5.3278402E-04
  1.2788185E-09  3.0326612E-09  8.8009012E-09  2.9855049E-06  9.1419110E-06  9.4603740E-06  5.0746618E-07  2.3297130E-05  1.2891853E-04  9.4289681E-06  8.7307146E-09  3.0076833E-09  1.2755183E-09  5.3251384E-04
  1.2286866E-09  2.9747966E-09  8.3329154E-09  2.8833539E-06  8.7230705E-06  9.0365699E-06  4.7361240E-07  2.2182963E-05  1.2252903E-04  8.9821672E-06  8.2644573E-09  2.9512771E-09  1.2264101E-09  5.3224226E-04
  1.2455797E-09  2.8336435E-09  8.0015394E-09  2.7874857E-06  8.3303858E-06  8.6386911E-06  4.4672384E-07  2.1140382E-05  1.1655772E-04  8.5638496E-06  7.9380785E-09  2.9109399E-09  1.2431508E-09  5.3196938E-04
  1.2627531E-09  2.7957232E-09  7.6930928E-09  2.6974666E-06  7.9613374E-06  8.2650111E-06  4.2203353E-07  2.0163622E-05  1.1097048E-04  8.1717469E-06  7.6310657E-09  2.7727702E-09  1.2603623E-09  5.3169507E-04
  1.2807934E-09  2.7611589E-09  7.4060977E-09  2.6128476E-06  7.6141421E-06  7.9132693E-06  3.9933052E-07  1.9247477E-05  1.0573654E-04  7.8037998E-06  7.3501142E-09  2.7406439E-09  1.2776872E-09  5.3141943E-04
  1.2974882E-09  2.7303119E-09  7.1407051E-09  2.5332203E-06  7.2871681E-06  7.5818405E-06  3.7842858E-07  1.8387227E-05  1.0082807E-04  7.4581419E-06  7.0839588E-09  2.7094062E-09  1.2949791E-09  5.3114235E-04
  1.3158981E-09  2.7031650E-09  6.8920950E-09  2.4582140E-06  6.9789404E-06  7.2692471E-06  3.5916291E-07  1.7578607E-05  9.6219859E-05  7.1330809E-06  6.8398937E-09  2.6846269E-09  1.3126030E-09  5.3086382E-04
  1.3333290E-09  2.6787516E-09  6.6614105E-09  2.3874915E-06  6.6881060E-06  6.9741366E-06  3.4138726E-07  1.6817726E-05  9.1889037E-05  6.8270750E-06  6.6107811E-09  2.6603370E-09  1.3309247E-09  5.3058389E-04
  1.2565453E-09  2.5397804E-09  6.3294356E-09  2.3208090E-06  6.4134516E-06  6.6952915E-06  3.1988894E-07  1.6101054E-05  8.7814762E-05  6.5387361E-06  6.2823285E-09  2.5234798E-09  1.2534686E-09  5.3030250E-04
  1.2669906E-09  2.5144135E-09  6.1216256E-09  2.2577611E-06  6.1538149E-06  6.4315537E-06  3.0433617E-07  1.5425371E-05  8.3978175E-05  6.2667624E-06  6.0760733E-09  2.4974850E-09  1.2638201E-09  5.3001964E-04
  1.2776491E-09  2.4911937E-09  5.9270351E-09  2.1981500E-06  5.9081785E-06  6.1819021E-06  2.8990792E-07  1.4787738E-05  8.0361978E-05  6.0099997E-06  5.8829722E-09  2.4743907E-09  1.2752535E-09  5.2973531E-04
  1.2890829E-09  2.4685890E-09  5.7437834E-09  2.1417393E-06  5.6755940E-06  5.9453859E-06  2.7651113E-07  1.4185466E-05  7.6950400E-05  5.7673794E-06  5.7034117E-09  2.4539337E-09  1.2865527E-09  5.2944949E-04
  1.3004329E-09  2.2502763E-09  5.5734904E-09  2.0883137E-06  5.4551896E-06  5.7211366E-06  2.6406226E-07  1.3616098E-05  7.3729025E-05  5.5379242E-06  5.6343060E-09  2.4353289E-09  1.2982991E-09  5.2916214E-04
  1.3125292E-09  2.2339821E-09  5.4143328E-09  2.0376744E-06  5.2461655E-06  5.5083492E-06  2.5248603E-07  1.3077383E-05  7.0684649E-05  5.3207390E-06  5.4757030E-09  2.2193673E-09  1.3099666E-09  5.2887325E-04
  0.0000000E+00  2.4000000E-09  1.2002584E-09  3.6536880E-05  1.4652742E-04  1.4652742E-04  8.4052506E-05  3.8832758E-04  2.2747682E-03  1.5697881E-04  1.2002572E-09  5.0000000E-09  0.0000000E+00  4.3075414E-04
  0.0000000E+00  2.9000000E-09  9.3881130E-08  2.9294339E-05  1.1845316E-04  1.1855427E-04  4.9884910E-05  3.0680205E-04  1.7836108E-03  1.2411610E-04  9.3702666E-08  5.7000000E-09  0.0000000E+00  4.3039077E-04
  0.0000000E+00  2.9000000E-09  7.3624384E-08  2.4330179E-05  9.8275408E-05  9.8444761E-05  3.2537070E-05  2.5075952E-04  1.4517943E-03  1.0162514E-04  7.3354699E-08  5.3000000E-09  0.0000000E+00  4.3026429E-04
  0.0000000E+00  2.5000000E-09  5.9583188E-08  2.0542241E-05  8.2823450E-05  8.3039478E-05  2.2073733E-05  2.0853779E-04  1.2027005E-03  8.4645392E-05  5.9316083E-08  4.9000000E-09  0.0000000E+00  4.3013737E-04
  0.0000000E+00  2.8000000E-09  4.9501676E-08  1.7590927E-05  7.0735568E-05  7.0983643E-05  1.5513902E-05  1.7598956E-04  1.0113065E-03  7.1532747E-05  4.9242959E-08  4.7000000E-09  0.0000000E+00  4.3001002E-04
  0.0000000E+00  2.7000000E-09  4.1943257E-08  1.5248801E-05  6.1111769E-05  6.1381234E-05  1.1256889E-05  1.5039622E-04  8.6126840E-04  6.1206072E-05  4.1702916E-08  4.7000000E-09  0.0000000E+00  4.2988219E-04
  0.0000000E+00  1.6000035E-09  3.6134937E-08  1.3359861E-05  5.3324657E-05  5.3608930E-05  8.3966044E-06  1.2992281E-04  7.4158930E-04  5.2933802E-05  3.5905537E-08  1.6000035E-09  0.0000000E+00  4.2975394E-04
  0.0000000E+00  4.5093407E-09  3.1058508E-08  1.1767735E-05  4.6734737E-05  4.7027481E-05  6.3365546E-06  1.1279159E-04  6.4174190E-04  4.6003275E-05  3.0848729E-08  4.5080016E-09  0.0000000E+00  4.2962106E-04
  0.0000000E+00  4.3920198E-09  2.7395276E-08  1.0517293E-05  4.1536457E-05  4.1835765E-05  4.9800767E-06  9.9430165E-05  5.6404218E-04  4.0591500E-05  2.7200558E-08  4.3816530E-09  0.0000000E+00  4.2947784E-04
  0.0000000E+00  4.2384263E-09  2.4373810E-08  9.4600271E-06  3.7125982E-05  3.7428847E-05  3.9846699E-06  8.8205558E-05  4.9890764E-04  3.6038901E-05  2.4204987E-08  4.2225954E-09  0.0000000E+00  4.2933408E-04
  0.0000000E+00  4.0531961E-09  2.1576920E-08  8.5590056E-06  3.3354408E-05  3.3658567E-05  3.2373405E-06  7.8691991E-05  4.4383667E-04  3.2176744E-05  2.1418233E-08  4.0303310E-09  0.0000000E+00  4.2918977E-04
  0.0000000E+00  3.9341402E-09  1.9444038E-08  7.7852067E-06  3.0105972E-05  3.0409722E-05  2.6687710E-06  7.0572210E-05  3.9691064E-04  2.8875143E-05  1.9302288E-08  3.9119085E-09  0.0000000E+00  4.2904492E-04
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  0.0000000E+00  3.6411231E-09  1.5855133E-08  6.5346036E-06  2.4833806E-05  2.5133213E-05  1.8824588E-06  5.7543924E-05  3.2185488E-04  2.3573661E-05  1.5737604E-08  3.6181999E-09  0.0000000E+00  4.2875358E-04
  0.0000000E+00  3.4553321E-09  1.4340104E-08  6.0257635E-06  2.2680059E-05  2.2976100E-05  1.6046992E-06  5.2279478E-05  2.9162853E-04  2.1428885E-05  1.4232784E-08  3.4341863E-09  0.0000000E+00  4.2860707E-04
  0.0000000E+00  3.1806166E-09  1.3169504E-08  5.5782676E-06  2.0781787E-05  2.1073932E-05  1.3826397E-06  4.7669568E-05  2.6521848E-04  1.9549566E-05  1.3069962E-08  3.1544415E-09  0.0000000E+00  4.2846002E-04
  0.0000000E+00  3.0163540E-09  1.2017668E-08  5.1829412E-06  1.9100868E-05  1.9388725E-05  1.1995840E-06  4.3612484E-05  2.4202520E-04  1.7894628E-05  1.1929536E-08  2.9952868E-09  0.0000000E+00  4.2831242E-04
  0.0000000E+00  2.9490491E-09  1.1111495E-08  4.8320317E-06  1.7605928E-05  1.7889226E-05  1.0514922E-06  4.0025263E-05  2.2156076E-04  1.6430496E-05  1.1031969E-08  2.9261188E-09  0.0000000E+00  4.2816423E-04
  0.0000000E+00  2.8919209E-09  1.0320477E-08  4.5192956E-06  1.6271032E-05  1.6549582E-05  9.2816641E-07  3.6839747E-05  2.0342488E-04  1.5129611E-05  1.0243232E-08  2.8699602E-09  0.0000000E+00  4.2801547E-04
  0.0000000E+00  2.7518242E-09  9.5132706E-09  4.2395565E-06  1.5074572E-05  1.5348260E-05  8.2211757E-07  3.3999540E-05  1.8728693E-04  1.3969150E-05  9.4434567E-09  2.7318478E-09  0.0000000E+00  4.2786611E-04
  0.0000000E+00  2.7010487E-09  8.8835239E-09  3.9883327E-06  1.3998408E-05  1.4267174E-05  7.3404184E-07  3.1457674E-05  1.7287214E-04  1.2930061E-05  8.8198824E-09  2.6820026E-09  0.0000000E+00  4.2771622E-04
  0.0000000E+00  2.6581009E-09  8.3244509E-09  3.7619939E-06  1.3027276E-05  1.3291093E-05  6.5899572E-07  2.9174794E-05  1.5995056E-04  1.1996398E-05  8.2649645E-09  2.6387449E-09  0.0000000E+00  4.2756572E-04
  0.0000000E+00  2.5400122E-09  7.7383906E-09  3.5477475E-06  1.2148233E-05  1.2407114E-05  5.9218228E-07  2.7117748E-05  1.4832881E-04  1.1154724E-05  7.6835134E-09  2.5228756E-09  0.0000000E+00  4.2741461E-04
  0.0000000E+00  2.5004350E-09  7.2875013E-09  3.3627357E-06  1.1350227E-05  1.1604211E-05  5.3626571E-07  2.5258444E-05  1.3784336E-04  1.0393624E-05  7.2334005E-09  2.4836499E-09  0.0000000E+00  4.2726292E-04
  0.0000000E+00  2.4641619E-09  6.8785281E-09  3.1945183E-06  1.0623818E-05  1.0872960E-05  4.8774250E-07  2.3572972E-05  1.2835516E-04  9.7033928E-06  6.8317044E-09  2.4491064E-09  0.0000000E+00  4.2711066E-04
  0.0000000E+00  2.3350405E-09  6.5147034E-09  3.0411690E-06  9.9608850E-06  1.0205256E-05  4.4646345E-07  2.2041355E-05  1.1974547E-04  9.0757232E-06  6.5707359E-09  2.4201864E-09  0.0000000E+00  4.2695776E-04
  9.0000002E-10  2.3357811E-09  6.1073003E-09  2.9010646E-06  9.3544204E-06  9.5941032E-06  4.0788452E-07  2.0645646E-05  1.1191239E-04  8.5034774E-06  6.1661585E-09  2.3210528E-09  9.0000002E-10  4.2680425E-04
  9.3340575E-10  2.2076947E-09  5.8981000E-09  2.7706051E-06  8.7881642E-06  9.0239687E-06  3.7525445E-07  1.9348404E-05  1.0464148E-04  7.9717933E-06  5.8589725E-09  2.2941789E-09  9.3331181E-10  4.2662876E-04
  9.5492860E-10  2.1827768E-09  5.6260274E-09  2.6538007E-06  8.2817664E-06  8.5133089E-06  3.4694906E-07  1.8191094E-05  9.8168124E-05  7.4970003E-06  5.5890551E-09  2.1695748E-09  9.5483272E-10  4.2641330E-04
  9.7548034E-10  2.1611679E-09  5.3762618E-09  2.5460060E-06  7.8142240E-06  8.0411975E-06  3.2166108E-07  1.7125662E-05  9.2218786E-05  7.0597664E-06  5.3417524E-09  2.1494643E-09  9.7439799E-10  4.2619682E-04
  9.9641605E-10  2.1438765E-09  5.1500825E-09  2.4463552E-06  7.3816525E-06  7.6043338E-06  2.9901782E-07  1.6143054E-05  8.6741106E-05  6.6564042E-06  5.1179993E-09  2.1322063E-09  9.9613553E-10  4.2597931E-04
  9.9313320E-10  2.0572824E-09  4.8706528E-09  2.3541187E-06  6.9807979E-06  7.1992721E-06  2.7590287E-07  1.5235281E-05  8.1688902E-05  6.2836622E-06  4.8409762E-09  2.0463407E-09  9.9275771E-10  4.2576076E-04
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  1.0349115E-09  2.0096923E-09  4.3350220E-09  2.1151253E-06  5.9410875E-06  6.1474628E-06  2.2528399E-07  1.2894043E-05  6.8699804E-05  5.3218017E-06  4.3092579E-09  2.0002265E-09  1.0347325E-09  4.2509877E-04
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  1.0336721E-09  1.7121255E-09  3.8522677E-09  1.9220645E-06  5.0998006E-06  5.2945878E-06  1.8465823E-07  1.1014081E-05  5.8318950E-05  4.5488725E-06  3.8298232E-09  1.9041641E-09  1.0325068E-09  4.2442706E-04
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  1.0726860E-09  1.6798043E-09  3.4190697E-09  1.7180454E-06  4.2106913E-06  4.3914505E-06  1.4720561E-07  9.0410915E-06  4.7478983E-05  3.7372329E-06  3.4026004E-09  1.6726963E-09  1.0716085E-09  4.2351575E-04
  1.0823431E-09  1.6750967E-09  3.3308745E-09  1.6746615E-06  4.0214288E-06  4.1989854E-06  1.3971130E-07  8.6237107E-06  4.5193121E-05  3.5655211E-06  3.3142364E-09  1.6679214E-09  1.0810845E-09  4.2328505E-04
  1.0937164E-09  1.6719462E-09  3.2496730E-09  1.6338675E-06  3.8433766E-06  4.0178108E-06  1.3283074E-07  8.2318886E-06  4.3050448E-05  3.4042925E-06  3.2341357E-09  1.6655841E-09  1.0926381E-09  4.2305318E-04
  1.0480675E-09  1.5999757E-09  3.1079646E-09  1.5955051E-06  3.6757113E-06  3.8471033E-06  1.2353631E-07  7.8636825E-06  4.1039865E-05  3.2527565E-06  3.0929539E-09  1.5944861E-09  1.0472987E-09  4.2282009E-04
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  1.0614934E-09  1.5900308E-09  2.9647664E-09  1.5554652E-06  3.3685715E-06  3.5341078E-06  1.1193443E-07  7.1914205E-06  3.7375713E-05  2.9758970E-06  2.9518415E-09  1.5848240E-09  1.0607980E-09  4.2235035E-04
  1.0684037E-09  1.5867537E-09  2.9011248E-09  1.5233732E-06  3.2277348E-06  3.3905024E-06  1.0678537E-07  6.8841509E-06  3.5704642E-05  2.8493185E-06  2.8886842E-09  1.5820169E-09  1.0676203E-09  4.2211365E-04
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  0.0000000E+00  3.5000000E-09  1.4799620E-08  9.0956683E-06  3.7739223E-05  3.7918984E-05  4.0961780E-06  7.5611949E-05  4.0996203E-04  3.1452080E-05  1.4721610E-08  5.4000000E-09  0.0000000E+00  3.2715312E-04
  0.0000000E+00  1.8000011E-09  1.2735392E-08  7.9409413E-06  3.2562870E-05  3.2750093E-05  3.0049840E-06  6.4736230E-05  3.4954491E-04  2.6940819E-05  1.2669746E-08  1.8000011E-09  0.0000000E+00  3.2705156E-04
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  0.0000000E+00  2.1813201E-09  7.0351960E-09  4.6128583E-06  1.7549548E-05  1.7739441E-05  9.1251072E-07  3.3874952E-05  1.7970399E-04  1.4119749E-05  6.9960785E-09  2.1725185E-09  0.0000000E+00  3.2649196E-04
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  9.0000001E-10  1.4404978E-09  3.1005880E-09  1.8487657E-06  4.9871932E-06  5.1219380E-06  1.3574506E-07  9.2100519E-06  4.6852359E-05  3.8413274E-06  2.9905000E-09  1.4362902E-09  9.0000001E-10  3.2472534E-04
  9.0845886E-10  1.4347940E-09  3.0088952E-09  1.7786485E-06  4.6648527E-06  4.7969894E-06  1.2476850E-07  8.5990444E-06  4.3632059E-05  3.5865407E-06  2.9004202E-09  1.4315261E-09  9.0845886E-10  3.2458763E-04
  9.1760008E-10  1.4307561E-09  2.9303088E-09  1.7161406E-06  4.3780119E-06  4.5070828E-06  1.1525701E-07  8.0561338E-06  4.0777221E-05  3.3599791E-06  2.8217118E-09  1.4274943E-09  9.1760008E-10  3.2441949E-04
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  9.3560755E-10  1.4274541E-09  2.7950801E-09  1.6057631E-06  3.8712150E-06  3.9943902E-06  9.9252462E-08  7.1005431E-06  3.5766738E-05  2.9612137E-06  2.6874646E-09  1.4247680E-09  9.3541837E-10  3.2408092E-04
  9.3280039E-10  1.3907170E-09  2.7009114E-09  1.5569574E-06  3.6472747E-06  3.7675117E-06  9.1110054E-08  6.6792462E-06  3.3564132E-05  2.7854114E-06  2.5941837E-09  1.3876433E-09  9.3278786E-10  3.2391040E-04
  9.3924659E-10  1.3878218E-09  2.6462208E-09  1.5118494E-06  3.4400419E-06  3.5576215E-06  8.4923279E-08  6.2907307E-06  3.1536680E-05  2.6232955E-06  2.5395892E-09  1.3852713E-09  9.3896571E-10  3.2373908E-04
  9.4521448E-10  1.3862059E-09  2.5962586E-09  1.4701011E-06  3.2483475E-06  3.3631072E-06  7.9357122E-08  5.9318471E-06  2.9667308E-05  2.4735498E-06  2.4898824E-09  1.3839258E-09  9.4520136E-10  3.2356692E-04
  9.5164255E-10  1.3851206E-09  2.6509106E-09  1.4314031E-06  3.0706023E-06  3.1827856E-06  7.4341759E-08  5.5998114E-06  2.7940917E-05  2.3350112E-06  2.4449083E-09  1.3828505E-09  9.5154263E-10  3.2339392E-04
  9.5856727E-10  1.3852419E-09  2.6100610E-09  1.3954802E-06  2.9055547E-06  3.0152370E-06  6.9920565E-08  5.2924599E-06  2.6344107E-05  2.2066464E-06  2.4042300E-09  1.3830798E-09  9.5856274E-10  3.2322011E-04
  9.6562416E-10  1.3862389E-09  2.5734460E-09  1.3620859E-06  2.7520841E-06  2.8593414E-06  6.5837454E-08  5.0071616E-06  2.4864962E-05  2.0875346E-06  2.3676871E-09  1.3837695E-09  9.6543533E-10  3.2304543E-04
  9.4975026E-10  1.3516440E-09  2.5046895E-09  1.3310107E-06  2.6091829E-06  2.7140870E-06  6.0683257E-08  4.7420276E-06  2.3492839E-05  1.9768488E-06  2.2997122E-09  1.3495291E-09  9.4946836E-10  3.2286993E-04
  9.5431634E-10  1.3505668E-09  2.4718284E-09  1.3020373E-06  2.4759645E-06  2.5785876E-06  5.7210351E-08  4.4953099E-06  2.2218281E-05  1.8738627E-06  2.2670420E-09  1.3486547E-09  9.5412615E-10  3.2269353E-04
  9.5906283E-10  1.3506257E-09  2.4417197E-09  1.2749978E-06  2.3516151E-06  2.4520258E-06  5.4049648E-08  4.2654255E-06  2.1032771E-05  1.7779125E-06  2.2373708E-09  1.3486245E-09  9.5878573E-10  3.2251626E-04
  9.6405359E-10  1.3509175E-09  2.4144676E-09  1.2497326E-06  2.2354051E-06  2.3336713E-06  5.1170975E-08  4.0509572E-06  1.9928684E-05  1.6884051E-06  2.2093910E-09  1.3492206E-09  9.6385519E-10  3.2233814E-04
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  9.7426324E-10  1.3529971E-09  2.3666311E-09  1.2039626E-06  2.0248377E-06  2.1190077E-06  4.6156657E-08  3.6632917E-06  1.7938048E-05  1.5266376E-06  2.3622311E-09  1.3514206E-09  9.7407433E-10  3.2197918E-04
  9.7993561E-10  1.3547882E-09  2.3461668E-09  1.1832098E-06  1.9293480E-06  2.0215623E-06  4.3976842E-08  3.4879044E-06  1.7039756E-05  1.4534618E-06  2.3420111E-09  1.3532098E-09  9.7974671E-10  3.2179834E-04
  9.5714752E-10  1.3221318E-09  2.2937666E-09  1.1637425E-06  1.8397114E-06  1.9300301E-06  4.0493108E-08  3.3235201E-06  1.6199240E-05  1.3848274E-06  2.0900794E-09  1.3204861E-09  9.5677501E-10  3.2161659E-04
  9.6064676E-10  1.3225499E-09  2.2748358E-09  1.1454442E-06  1.7554997E-06  1.8439791E-06  3.8570833E-08  3.1692979E-06  1.5411981E-05  1.3205853E-06  2.2713052E-09  1.3210835E-09  9.6046143E-10  3.2143390E-04
  9.6422333E-10  1.3228729E-09  2.2570420E-09  1.1282361E-06  1.6763007E-06  1.7629967E-06  3.6805990E-08  3.0244573E-06  1.4673827E-05  1.2602552E-06  2.2539468E-09  1.3217699E-09  9.6394386E-10  3.2125027E-04
  9.6789191E-10  1.3239933E-09  2.2413579E-09  1.1120378E-06  1.6017466E-06  1.6867128E-06  3.5185506E-08  2.8882934E-06  1.3981025E-05  1.2035429E-06  2.2378761E-09  1.3226380E-09  9.6770472E-10  3.2106569E-04
  9.7190485E-10  1.0255875E-09  2.2265759E-09  1.0967759E-06  1.5315019E-06  1.6147895E-06  3.3599506E-08  2.7601650E-06  1.3330161E-05  1.1501810E-06  2.2234565E-09  1.0244229E-09  9.7163046E-10  3.2088016E-04
  9.7590218E-10  1.0275957E-09  2.2133269E-09  1.0823833E-06  1.4652588E-06  1.5469175E-06  3.2247364E-08  2.6394862E-06  1.2718124E-05  1.0999247E-06  2.2102921E-09  1.0260878E-09  9.7567656E-10  3.2069366E-04
  0.0000000E+00  1.1000000E-09  1.3000241E-09  1.2064393E-05  5.4779365E-05  5.4779365E-05  1.2133784E-05  9.6377534E-05  4.9706437E-04  3.9428776E-05  1.3000241E-09  1.3000000E-09  0.0000000E+00  2.3180252E-04
  0.0000000E+00  2.3000000E-09  1.0228321E-08  9.6401333E-06  4.2172427E-05  4.2213842E-05  6.3655074E-06  7.2724297E-05  3.7473388E-04  3.0509466E-05  1.0207894E-08  2.5000000E-09  0.0000000E+00  2.3067901E-04
  0.0000000E+00  2.4000000E-09  7.8960535E-09  7.8564955E-06  3.3787591E-05  3.3854352E-05  3.9017103E-06  5.7888059E-05  2.9683922E-04  2.4250812E-05  7.8804232E-09  3.6000000E-09  0.0000000E+00  2.3060656E-04
  0.0000000E+00  1.8000000E-09  6.3918444E-09  6.5394313E-06  2.7585380E-05  2.7667668E-05  2.5009301E-06  4.6977443E-05  2.3976826E-04  1.9653817E-05  6.6731989E-09  3.6000000E-09  0.0000000E+00  2.3053388E-04
  0.0000000E+00  1.8000000E-09  5.7579116E-09  5.5431274E-06  2.2885158E-05  2.2976725E-05  1.6723639E-06  3.8754402E-05  1.9690896E-04  1.6193336E-05  5.7405616E-09  3.2000000E-09  0.0000000E+00  2.3046095E-04
  0.0000000E+00  1.7000000E-09  5.0127661E-09  4.7735109E-06  1.9247833E-05  1.9344649E-05  1.1611750E-06  3.2424059E-05  1.6402828E-04  1.3532421E-05  4.9997333E-09  3.2000000E-09  0.0000000E+00  2.3038776E-04
  0.0000000E+00  1.7000002E-09  4.5594929E-09  4.1680733E-06  1.6381445E-05  1.6480876E-05  8.3400244E-07  2.7460160E-05  1.3833121E-04  1.1448182E-05  4.4484881E-09  1.7000002E-09  0.0000000E+00  2.3031425E-04
  0.0000000E+00  1.8789736E-09  4.0575500E-09  3.6694372E-06  1.4017226E-05  1.4117025E-05  6.1032187E-07  2.3384478E-05  1.1730574E-04  9.7386842E-06  3.9493421E-09  1.8789736E-09  0.0000000E+00  2.3023824E-04
  0.0000000E+00  1.8690377E-09  3.7291003E-09  3.2864779E-06  1.2197804E-05  1.2297567E-05  4.6758229E-07  2.0263678E-05  1.0125197E-04  8.4312058E-06  3.6193901E-09  1.8674452E-09  0.0000000E+00  2.3015678E-04
  0.0000000E+00  1.5664609E-09  3.4697244E-09  2.9690754E-06  1.0687468E-05  1.0786502E-05  3.6653438E-07  1.7684313E-05  8.8024187E-05  7.3514920E-06  3.3597031E-09  1.5663327E-09  0.0000000E+00  2.3007502E-04
  0.0000000E+00  1.5542056E-09  3.1978897E-09  2.7036049E-06  9.4239323E-06  9.5211232E-06  2.9303862E-07  1.5532770E-05  7.7023748E-05  6.4516612E-06  3.0894550E-09  1.5524697E-09  0.0000000E+00  2.2999297E-04
  0.0000000E+00  1.3569319E-09  3.1269382E-09  2.4797208E-06  8.3569060E-06  8.4521676E-06  2.3859472E-07  1.3723068E-05  6.7800545E-05  5.6954579E-06  2.9181223E-09  1.3546652E-09  0.0000000E+00  2.2991061E-04
  0.0000000E+00  1.3350122E-09  2.9358069E-09  2.2894761E-06  7.4490168E-06  7.5420811E-06  1.9691455E-07  1.2189182E-05  6.0007466E-05  5.0550306E-06  2.7289019E-09  1.3336478E-09  0.0000000E+00  2.2982796E-04
  0.0000000E+00  1.3375088E-09  2.8164253E-09  2.1266894E-06  6.6712369E-06  6.7619487E-06  1.6532911E-07  1.0879966E-05  5.3374376E-05  4.5088483E-06  2.6094702E-09  1.3352274E-09  0.0000000E+00  2.2974500E-04
  0.0000000E+00  1.3164095E-09  2.6798640E-09  1.9865067E-06  6.0006763E-06  6.0889435E-06  1.4008582E-07  9.7552567E-06  4.7691774E-05  4.0399933E-06  2.4736641E-09  1.3148333E-09  0.0000000E+00  2.2966172E-04
  0.0000000E+00  1.3167609E-09  2.5938122E-09  1.8650760E-06  5.4192055E-06  5.5049950E-06  1.2026662E-07  8.7833143E-06  4.2794229E-05  3.6351267E-06  2.4877383E-09  1.3152476E-09  0.0000000E+00  2.2957812E-04
  0.0000000E+00  1.2972060E-09  2.4933017E-09  1.7593155E-06  4.9122479E-06  4.9955580E-06  1.0383052E-07  7.9387324E-06  3.8549766E-05  3.2835582E-06  2.3888145E-09  1.2959808E-09  0.0000000E+00  2.2949415E-04
  0.0000000E+00  1.2972546E-09  2.4298317E-09  1.6667362E-06  4.4680626E-06  4.5489221E-06  9.0855093E-08  7.2010832E-06  3.4852342E-05  2.9767167E-06  2.4246760E-09  1.2956595E-09  0.0000000E+00  2.2940994E-04
  0.0000000E+00  9.9936542E-10  2.3764995E-09  1.5853144E-06  4.0770618E-06  4.1555180E-06  8.0394417E-08  6.5537559E-06  3.1615982E-05  2.7076252E-06  2.3716824E-09  9.9808480E-10  0.0000000E+00  2.2932544E-04
  0.0000000E+00  9.8062119E-10  2.3064455E-09  1.5133921E-06  3.7313790E-06  3.8074876E-06  7.1082605E-08  5.9831611E-06  2.8770492E-05  2.4705790E-06  2.3030969E-09  9.7956337E-10  0.0000000E+00  2.2924059E-04
  0.0000000E+00  9.8164426E-10  2.2656433E-09  1.4496001E-06  3.4245418E-06  3.4983724E-06  6.3607694E-08  5.4781349E-06  2.6258235E-05  2.2609056E-06  2.2618603E-09  9.8062226E-10  0.0000000E+00  2.2915541E-04
  0.0000000E+00  9.8349550E-10  2.2300816E-09  1.3728791E-06  3.1511502E-06  3.2227736E-06  5.7264709E-08  5.0294022E-06  2.4031485E-05  2.0747154E-06  2.2267828E-09  9.8220603E-10  0.0000000E+00  2.2906994E-04
  0.0000000E+00  9.6705317E-10  2.1803556E-09  1.3222694E-06  2.9066864E-06  2.9761779E-06  5.1293440E-08  4.6292300E-06  2.2050538E-05  1.9087675E-06  2.1774562E-09  9.6611358E-10  0.0000000E+00  2.2898413E-04
  0.0000000E+00  9.6772697E-10  2.1522220E-09  1.2768832E-06  2.6873762E-06  2.7548115E-06  4.6554172E-08  4.2711553E-06  2.0282192E-05  1.7603626E-06  2.1492640E-09  9.6642739E-10  0.0000000E+00  2.2889798E-04
  0.0000000E+00  9.6903805E-10  2.1275927E-09  1.2360528E-06  2.4900086E-06  2.5554643E-06  4.2460232E-08  3.9499273E-06  1.8698493E-05  1.6272128E-06  2.1254285E-09  9.6808181E-10  0.0000000E+00  2.2881150E-04
  0.0000000E+00  9.7058587E-10  2.1070156E-09  1.1992110E-06  2.3118638E-06  2.3754157E-06  3.8911225E-08  3.6606538E-06  1.7275807E-05  1.5073850E-06  2.1049701E-09  9.7007924E-10  0.0000000E+00  2.2872467E-04
  1.6000000E-09  9.5537340E-10  2.0715653E-09  1.1658746E-06  2.1506144E-06  2.2123358E-06  3.5240174E-08  3.3999696E-06  1.5994049E-05  1.3992297E-06  2.0693922E-09  9.5489056E-10  1.6000000E-09  2.2863752E-04
  1.6022455E-09  9.5614629E-10  2.0540513E-09  1.1351298E-06  2.0015568E-06  2.0617522E-06  3.2457973E-08  3.1601047E-06  1.4815318E-05  1.2997314E-06  2.0517791E-09  9.5541762E-10  1.6022455E-09  2.2853859E-04
  7.0512486E-10  9.5740028E-10  2.0391374E-09  1.1078713E-06  1.8696440E-06  1.9281641E-06  3.0048406E-08  2.9480338E-06  1.3776072E-05  1.2117404E-06  2.0371380E-09  9.5672105E-10  7.0512486E-10  2.2841821E-04
  1.0082244E-09  9.5861733E-10  2.0257572E-09  1.0829403E-06  1.7489755E-06  1.8058783E-06  2.7917615E-08  2.7543830E-06  1.2829499E-05  1.1314534E-06  2.0240339E-09  9.5805338E-10  1.0082244E-09  2.2829728E-04
  1.0120948E-09  9.6050560E-10  2.0144215E-09  1.0600936E-06  1.6383794E-06  1.6937220E-06  2.6032206E-08  2.5772015E-06  1.1965598E-05  1.0583660E-06  2.0127567E-09  9.5995323E-10  1.0120021E-09  2.2817578E-04
  1.0105296E-09  9.4615102E-10  1.9885920E-09  1.0391177E-06  1.5368209E-06  1.5906585E-06  2.3677622E-08  2.4147747E-06  1.1175616E-05  9.9123402E-07  1.9871069E-09  9.4552497E-10  1.0105358E-09  2.2805371E-04
  1.0130411E-09  9.4690731E-10  1.9785571E-09  1.0198246E-06  1.4434080E-06  1.4957946E-06  2.2368726E-08  2.2656116E-06  1.0451912E-05  9.2962274E-07  1.9771857E-09  9.4635378E-10  1.0129457E-09  2.2793107E-04
  1.0155974E-09  9.4807137E-10  1.9699225E-09  1.0020489E-06  1.3573364E-06  1.4083241E-06  2.1245640E-08  2.1283859E-06  9.7877458E-06  8.7297460E-07  1.9686600E-09  9.4772647E-10  1.0156058E-09  2.2780782E-04
  1.0183466E-09  9.4951966E-10  1.9622954E-09  1.0056504E-06  1.2779001E-06  1.3275393E-06  2.0176331E-08  2.0019308E-06  9.1771818E-06  8.2080196E-07  1.9609473E-09  9.4900696E-10  1.0183035E-09  2.2768399E-04
  1.0211990E-09  9.5110928E-10  1.9556367E-09  1.0005282E-06  1.2044576E-06  1.2527969E-06  1.9166666E-08  1.8851865E-06  8.6148427E-06  7.7266218E-07  1.9544976E-09  9.5071206E-10  1.0211567E-09  2.2755957E-04
  1.0242188E-09  9.5309587E-10  1.9499890E-09  9.7654828E-07  1.1364835E-06  1.1835700E-06  1.8219763E-08  1.7772910E-06  8.0963616E-06  7.2819521E-07  1.9488517E-09  9.5262787E-10  1.0242246E-09  2.2743455E-04
  1.0172727E-09  9.3892857E-10  1.9297775E-09  9.6360627E-07  1.0732886E-06  1.1193547E-06  1.6913897E-08  1.6774240E-06  7.6176025E-06  6.8705613E-07  1.9288605E-09  9.3855274E-10  1.0172258E-09  2.2730893E-04
  1.0192575E-09  9.3985355E-10  1.9244898E-09  9.5158321E-07  1.0148227E-06  1.0594937E-06  1.6054621E-08  1.5848145E-06  7.1746519E-06  6.4892873E-07  1.9236614E-09  9.3964960E-10  1.0192114E-09  2.2718268E-04
  1.0212030E-09  9.4111751E-10  1.9198377E-09  9.4040208E-07  9.6047072E-07  1.0040220E-06  1.5255179E-08  1.4988368E-06  6.7643667E-06  6.1354904E-07  1.9189153E-09  9.4073750E-10  1.0211595E-09  2.2705581E-04
  1.0233670E-09  9.4251473E-10  1.8158765E-09  9.2999048E-07  9.1003461E-07  9.5234960E-07  1.4513476E-08  1.4189097E-06  6.3838264E-06  5.8067547E-07  1.9149802E-09  9.4218715E-10  1.0233755E-09  2.2692832E-04
  1.0255741E-09  9.4394706E-10  1.8124838E-09  9.2028325E-07  8.6293378E-07  9.0430421E-07  1.3827028E-08  1.3445123E-06  6.0304162E-06  5.5009096E-07  1.8115500E-09  1.0436584E-09  1.0255314E-09  2.2680017E-04
  1.0279603E-09  1.0456093E-09  1.7094498E-09  9.1122185E-07  8.1898100E-07  8.5935016E-07  1.3193124E-08  1.2751768E-06  5.7017915E-06  5.2160096E-07  1.8087106E-09  1.0452679E-09  1.0278957E-09  2.2667141E-04
  1.0304468E-09  1.0474609E-09  1.7070637E-09  9.0275349E-07  7.7791835E-07  8.1732151E-07  1.2608949E-08  1.2104817E-06  5.3958447E-06  4.9503010E-07  1.7063206E-09  1.0472710E-09  1.0304536E-09  2.2654201E-04
  1.0205877E-09  9.3375017E-10  1.7903213E-09  8.9483109E-07  7.3950719E-07  7.7797753E-07  1.1640034E-08  1.1503623E-06  5.1106686E-06  4.7021546E-07  1.7896529E-09  9.3345055E-10  1.0205456E-09  2.2641192E-04
  1.0221106E-09  1.0347584E-09  1.6877088E-09  8.8741017E-07  7.0354861E-07  7.4111845E-07  1.1114678E-08  1.0939900E-06  4.8445701E-06  4.4702354E-07  1.7871111E-09  1.0345191E-09  1.0220702E-09  2.2628120E-04
  1.0237724E-09  1.0359045E-09  1.6855353E-09  8.8045223E-07  6.6984588E-07  7.0654623E-07  1.0629471E-08  1.0412074E-06  4.5959945E-06  4.2525349E-07  1.6848583E-09  1.0356986E-09  1.0237099E-09  2.2614978E-04
  1.0254470E-09  1.0371766E-09  1.6836515E-09  8.7392173E-07  6.3822585E-07  6.7408605E-07  1.0181833E-08  9.9173454E-07  4.3635424E-06  4.0495837E-07  1.6830437E-09  1.0369824E-09  1.0254544E-09  2.2601773E-04
  1.0272789E-09  1.0385482E-09  1.6821312E-09  8.6778644E-07  6.0853092E-07  6.4357937E-07  9.7693209E-09  9.4531733E-07  4.1459458E-06  3.8592648E-07  1.6815602E-09  1.0383432E-09  1.0272364E-09  2.2588495E-04
  1.0290947E-09  1.0399191E-09  1.4808582E-09  8.6201685E-07  5.8061737E-07  6.1488125E-07  9.3896202E-09  9.0172454E-07  3.9420533E-06  3.6806156E-07  1.4803871E-09  1.0397635E-09  1.0290975E-09  2.2575151E-04
  0.0000000E+00  3.2000000E-09  5.0000077E-09  5.0151971E-06  2.1489786E-05  2.1489786E-05  2.5010959E-06  3.2068277E-05  1.5135098E-04  1.2891990E-05  5.0000077E-09  4.6000000E-09  0.0000000E+00  1.4289609E-04
  0.0000000E+00  3.8000000E-09  8.1438435E-09  3.9774657E-06  1.6362555E-05  1.6380134E-05  1.0281603E-06  2.3611971E-05  1.0812343E-04  9.4125713E-06  8.1419359E-09  5.1000000E-09  0.0000000E+00  1.4271098E-04
  0.0000000E+00  3.4000000E-09  7.6263364E-09  3.3033389E-06  1.2970149E-05  1.2998213E-05  5.2539036E-07  1.8468692E-05  8.3393276E-05  7.3355743E-06  7.6231735E-09  4.9000000E-09  0.0000000E+00  1.4266566E-04
  0.0000000E+00  3.6000000E-09  7.7451595E-09  2.8104098E-06  1.0485193E-05  1.0519451E-05  2.8615391E-07  1.4751850E-05  6.5734844E-05  5.8408053E-06  7.7428379E-09  4.1000000E-09  0.0000000E+00  1.4262020E-04
  0.0000000E+00  4.2000000E-09  7.5978066E-09  2.4407742E-06  8.6190088E-06  8.6567892E-06  2.4991442E-07  1.1995158E-05  5.2786962E-05  4.7359777E-06  7.5954879E-09  4.5000000E-09  0.0000000E+00  1.4257456E-04
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  0.0000000E+00  5.5000003E-09  7.2214294E-09  1.9362828E-06  6.0681633E-06  6.1085010E-06  4.0592497E-07  8.2868751E-06  3.5636904E-05  3.2555428E-06  7.2194947E-09  5.5000003E-09  0.0000000E+00  1.4248284E-04
  0.0000000E+00  5.7724797E-09  7.6127699E-09  1.7553273E-06  5.1519437E-06  5.1921116E-06  3.6552149E-07  6.9759365E-06  2.9671626E-05  2.7342352E-06  7.6116191E-09  5.7724797E-09  0.0000000E+00  1.4243537E-04
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  0.0000000E+00  3.0116962E-09  6.5616808E-09  1.5034966E-06  3.8761761E-06  3.9153083E-06  2.6180542E-07  5.1736516E-06  2.1580594E-05  2.0199574E-06  6.8601547E-09  3.0115362E-09  0.0000000E+00  1.4233335E-04
  0.0000000E+00  2.9881754E-09  7.5957047E-09  1.4088752E-06  3.3964262E-06  3.4347003E-06  2.1577458E-07  4.5043673E-06  1.8617172E-05  1.7555607E-06  7.6948329E-09  2.9877303E-09  0.0000000E+00  1.4228206E-04
  0.0000000E+00  2.2715472E-09  7.4500754E-09  1.3295057E-06  2.9937056E-06  3.0309801E-06  1.7691748E-07  3.9468794E-06  1.6169616E-05  1.5357662E-06  7.4490684E-09  2.1713340E-09  0.0000000E+00  1.4223058E-04
  0.0000000E+00  2.2521615E-09  7.3112473E-09  1.2624021E-06  2.6530108E-06  2.6892000E-06  1.4489352E-07  3.4786922E-06  1.4130956E-05  1.3515216E-06  7.6105208E-09  2.1519456E-09  0.0000000E+00  1.4217892E-04
  0.0000000E+00  1.6407424E-09  7.3896242E-09  1.2052671E-06  2.3627603E-06  2.3978226E-06  1.1888097E-07  3.0825584E-06  1.2419672E-05  1.1959160E-06  7.3889343E-09  1.6405397E-09  0.0000000E+00  1.4212708E-04
  0.0000000E+00  2.0244844E-09  7.3753986E-09  1.1562942E-06  2.1138594E-06  2.1477777E-06  9.7894264E-08  2.7450580E-06  1.0972856E-05  1.0635662E-06  7.3747913E-09  1.9241659E-09  0.0000000E+00  1.4207503E-04
  0.0000000E+00  1.6156660E-09  7.1751842E-09  1.1140659E-06  1.8991450E-06  1.9319247E-06  8.1096570E-08  2.4556859E-06  9.7415330E-06  9.5028004E-07  7.1744303E-09  1.6152314E-09  0.0000000E+00  1.4202278E-04
  0.0000000E+00  1.9026634E-09  7.5816229E-09  1.0774448E-06  1.7128825E-06  1.7445399E-06  6.7468575E-08  2.2061041E-06  8.6871463E-06  8.5272199E-07  7.5811516E-09  1.9023447E-09  0.0000000E+00  1.4197035E-04
  0.0000000E+00  1.5953439E-09  7.3989487E-09  1.0455238E-06  1.5504776E-06  1.5810394E-06  5.6559604E-08  1.9896690E-06  7.7791234E-06  7.6825039E-07  7.3984555E-09  1.5951365E-09  0.0000000E+00  1.4191772E-04
  0.0000000E+00  1.5897860E-09  6.9242922E-09  1.0175635E-06  1.4081919E-06  1.4376902E-06  4.7743061E-08  1.8010176E-06  6.9929809E-06  6.9472915E-07  7.3239045E-09  1.5897002E-09  0.0000000E+00  1.4186490E-04
  0.0000000E+00  1.5793171E-09  7.4542901E-09  9.9296020E-07  1.2829717E-06  1.3114428E-06  4.0446576E-08  1.6357976E-06  6.3089706E-06  6.3042572E-07  7.5539068E-09  1.5793339E-09  0.0000000E+00  1.4181186E-04
  0.0000000E+00  1.5745464E-09  7.3923504E-09  9.7122190E-07  1.1724662E-06  1.1997206E-06  3.4491314E-08  1.4904625E-06  5.7110713E-06  5.7393874E-07  7.3921146E-09  1.5743452E-09  0.0000000E+00  1.4175864E-04
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  7.6000000E-09  1.5470255E-09  7.6185379E-09  8.8215953E-07  7.2007085E-07  7.4226389E-07  1.5283275E-08  9.0248892E-07  3.3366011E-06  3.4627174E-07  7.6183595E-09  1.5469804E-09  7.6000000E-09  1.4143496E-04
  7.6006948E-09  1.5448711E-09  7.4851138E-09  8.7190969E-07  6.6786526E-07  6.8940380E-07  1.3632663E-08  8.3566578E-07  3.0720640E-06  3.2053163E-07  7.5849185E-09  1.5447160E-09  7.6006948E-09  1.4137321E-04
  1.5014638E-09  1.5429829E-09  6.9553299E-09  8.6285228E-07  6.2181487E-07  6.4267181E-07  1.2269588E-08  7.7685191E-07  2.8405978E-06  2.9798323E-07  7.1551436E-09  1.5428833E-09  1.5014638E-09  1.4129818E-04
  8.0245310E-10  1.5413795E-09  6.9279205E-09  8.5459419E-07  5.7982852E-07  6.0003056E-07  1.1109666E-08  7.2338632E-07  2.6311976E-06  2.7741280E-07  7.1277560E-09  1.5412799E-09  8.0245310E-10  1.4122282E-04
  8.0339910E-10  1.5400320E-09  6.3027451E-09  8.4704949E-07  5.4147071E-07  5.6104363E-07  1.0120266E-08  6.7467761E-07  2.4413286E-06  2.5868833E-07  6.3026015E-09  1.5399298E-09  8.0339910E-10  1.4114709E-04
  8.0294567E-10  1.5345722E-09  7.2777235E-09  8.3014433E-07  5.0635778E-07  5.2532749E-07  9.1160555E-09  6.3020976E-07  2.2687942E-06  2.4171045E-07  7.2776445E-09  1.5346967E-09  8.0294567E-10  1.4107101E-04
  8.0358066E-10  1.5334113E-09  6.8559446E-09  8.2381850E-07  4.7416298E-07  4.9255301E-07  8.3728589E-09  5.8953812E-07  2.1116943E-06  2.2610770E-07  7.0558494E-09  1.5333647E-09  8.0358066E-10  1.4099459E-04
  8.0423606E-10  1.5323226E-09  6.5358811E-09  8.1800627E-07  4.4458925E-07  4.6242314E-07  7.7314904E-09  5.5226695E-07  1.9683614E-06  2.1193735E-07  6.6357178E-09  1.5322262E-09  8.0418692E-10  1.4091779E-04
  1.0050001E-09  1.5313800E-09  6.2172872E-09  8.1265683E-07  4.1737783E-07  4.3467788E-07  7.1768245E-09  5.1805052E-07  1.8373402E-06  1.9886170E-07  6.2172128E-09  1.5313241E-09  1.0050503E-09  1.4084062E-04
  1.0058557E-09  1.5306692E-09  5.7002258E-09  8.0772533E-07  3.9229991E-07  4.0908742E-07  6.6963053E-09  4.8658402E-07  1.7173545E-06  1.8684221E-07  5.6000879E-09  1.5305928E-09  1.0058557E-09  1.4076309E-04
  1.0067474E-09  1.1300211E-09  5.2843772E-09  8.0317200E-07  3.6915224E-07  3.8544780E-07  6.2794630E-09  4.5759867E-07  1.6072823E-06  1.7577522E-07  5.3842572E-09  1.1300089E-09  1.0067004E-09  1.4068518E-04
  1.0046861E-09  1.5254875E-09  6.5674963E-09  7.9896050E-07  3.4775181E-07  3.6357485E-07  5.7528185E-09  4.3085382E-07  1.5061306E-06  1.6556628E-07  6.5673844E-09  1.5254183E-09  1.0046387E-09  1.4060690E-04
  1.0052642E-09  1.5248356E-09  6.1535726E-09  7.9506124E-07  3.2794357E-07  3.4331284E-07  5.4232037E-09  4.0614268E-07  1.4130330E-06  1.5613870E-07  6.1534374E-09  1.5247415E-09  1.0052194E-09  1.4052822E-04
  1.0058727E-09  1.5242712E-09  5.6406219E-09  7.9144527E-07  3.0958158E-07  3.2451494E-07  5.1342101E-09  3.8327518E-07  1.3272114E-06  1.4741783E-07  5.6404942E-09  1.5241773E-09  1.0058279E-09  1.4044917E-04
  1.0065159E-09  1.1238625E-09  5.3286930E-09  7.8808753E-07  2.9253766E-07  3.0705217E-07  4.8806028E-09  3.6208358E-07  1.2479785E-06  1.3933909E-07  5.3285765E-09  1.1237809E-09  1.0065154E-09  1.4036972E-04
  1.0071502E-09  1.1234575E-09  5.2175710E-09  7.8496550E-07  2.7669702E-07  2.9080890E-07  4.6579410E-09  3.4241828E-07  1.1747228E-06  1.3184482E-07  5.2174914E-09  1.1234071E-09  1.0071502E-09  1.4028988E-04
  1.0079354E-09  1.1232665E-09  4.7072843E-09  7.8205905E-07  2.6195644E-07  2.7568143E-07  4.4624464E-09  3.2414527E-07  1.1068989E-06  1.2488360E-07  4.7071530E-09  1.1232177E-09  1.1079142E-09  1.4020965E-04
  9.0865816E-10  1.1230934E-09  4.5976403E-09  7.7934997E-07  2.4822339E-07  2.6157607E-07  4.2908936E-09  3.0714439E-07  1.0440199E-06  1.1840913E-07  4.5975399E-09  1.1230248E-09  1.1086144E-09  1.4012901E-04
  1.0056638E-09  1.1189228E-09  5.3860759E-09  7.7682099E-07  2.3541105E-07  2.4840580E-07  3.9722627E-09  2.9130514E-07  9.8564537E-07  1.1237752E-07  5.3859827E-09  1.1188475E-09  1.0056401E-09  1.4004796E-04
  1.0061293E-09  1.1186177E-09  5.1774515E-09  7.7445919E-07  2.2345003E-07  2.3610026E-07  3.8281471E-09  2.7653518E-07  9.3139243E-07  1.0675611E-07  5.1773937E-09  1.1185644E-09  1.0061293E-09  1.3996651E-04
  1.1066334E-09  1.1184249E-09  5.1694397E-09  7.7225035E-07  2.1226931E-07  2.2458788E-07  3.7002961E-09  2.6274450E-07  8.8090570E-07  1.0150896E-07  5.1693596E-09  1.1183717E-09  1.1066339E-09  1.3988463E-04
  1.1071665E-09  1.1182533E-09  4.6619419E-09  7.7018237E-07  2.0180707E-07  2.1380627E-07  3.5869439E-09  2.4985387E-07  8.3386878E-07  9.6605735E-08  4.6618738E-09  1.1182598E-09  1.1071452E-09  1.3980235E-04
  1.1077039E-09  1.1181504E-09  4.2549660E-09  7.5824802E-07  1.9200725E-07  2.0369889E-07  3.4865592E-09  2.3779166E-07  7.8999628E-07  9.1929575E-08  4.3548886E-09  1.1181220E-09  1.1077282E-09  1.3971962E-04
  1.1083077E-09  1.1181354E-09  3.4484935E-09  7.5643355E-07  1.8281904E-07  1.9421437E-07  3.3978126E-09  2.2649289E-07  7.4903059E-07  8.7644891E-08  3.4484235E-09  1.1180844E-09  1.1082838E-09  1.3963648E-04
  0.0000000E+00  3.4000000E-09  8.8000166E-09  1.4941010E-06  3.6629064E-06  3.6629064E-06  1.7349854E-07  4.8276030E-06  2.0226192E-05  1.9131006E-06  8.8000166E-09  3.6000000E-09  0.0000000E+00  6.2815490E-05
  0.0000000E+00  4.3000000E-09  1.4897686E-08  1.7545720E-06  5.9726806E-06  5.9796069E-06  5.3523590E-06  5.9501997E-06  1.7263570E-05  2.2082485E-06  1.4897670E-08  4.3000000E-09  0.0000000E+00  6.8945201E-05
  0.0000000E+00  2.9000000E-09  1.3193837E-08  1.5030168E-06  4.6453781E-06  4.6561657E-06  2.8914826E-06  4.6627421E-06  1.3665657E-05  1.7325013E-06  1.3193815E-08  4.6000000E-09  0.0000000E+00  6.8923151E-05
  0.0000000E+00  3.7000000E-09  1.2083415E-08  1.3213857E-06  3.6873063E-06  3.7001661E-06  1.6266900E-06  3.7270691E-06  1.1022994E-05  1.3864454E-06  1.2083050E-08  4.9000000E-09  0.0000000E+00  6.8901034E-05
  0.0000000E+00  4.5000000E-09  1.0925071E-08  1.1868833E-06  2.9781052E-06  2.9919709E-06  9.5193115E-07  3.0300239E-06  9.0345109E-06  1.1284310E-06  1.1324926E-08  5.6000000E-09  0.0000000E+00  6.8878837E-05
  0.0000000E+00  5.1000000E-09  1.0387012E-08  1.0850775E-06  2.4415531E-06  2.4557801E-06  5.7758030E-07  2.4995076E-06  7.5065172E-06  9.3177276E-07  1.0786847E-08  6.3000000E-09  0.0000000E+00  6.8856566E-05
  0.0000000E+00  5.9000001E-09  9.9940102E-09  1.0065415E-06  2.0278447E-06  2.0420433E-06  3.6208614E-07  2.0881439E-06  6.3113076E-06  7.7932919E-07  9.9937737E-09  5.9000001E-09  0.0000000E+00  6.8834220E-05
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  0.0000000E+00  2.8293837E-09  9.1496168E-09  8.3423635E-07  1.0686055E-06  1.0811451E-06  7.3769934E-08  1.1243434E-06  3.4610699E-06  4.2203570E-07  9.0495345E-09  2.8294911E-09  0.0000000E+00  6.8736601E-05
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pythia8-8.1.86.orig/xmldoc/PhaseSpaceCuts.xml0000444000175000017500000004014412357055025017227 0ustar  sunsun 
 

    Phase Space Cuts
     
 
PhaseSpace is base class for all hard-process phase-space 
generators, either generic 2 → 1 or 2 → 2 ones, 
or specialized ones like for elastic and diffractive scattering. 
 

     
In it, it is possible to constrain the kinematics of most processes. 
(Exceptions are "soft physics", i.e. minimum bias, elastic and 
diffractive processes. The Coulomb singularity for elastic scatterings, 
if simulated, is handled separately.) 
These constraints apply in the rest frame of the hard subprocess, and 
topologies normally would be changed e.g. by subsequent showering 
activity. The cross section of a process is adjusted to only 
correspond to the allowed phase space. 
 

     
The more particles in the final state, the more cuts could be applied. 
Here we have tried to remain with the useful minimum, however. More 
generic possibilities could be handled by the 
user hooks facility. 
 

    Cuts in all processes
     
 
 
The minimum invariant mass. 
 
 
 
The maximum invariant mass. 
A value below mHatMin means there is no upper limit. 
 
 

    Cuts in 2 → 1 processes
     
 
When a resonance id is produced, the 
mMin(id) and 
mMax(id) 
methods restrict the allowed mass range 
of this resonance. Therefore the allowed range is chosen to be the 
overlap of this range and the mHatMin to 
mHatMax range above. Most resonances by default have no 
upper mass limit, so effects mainly concern the lower limit. 
Should there be no overlap between the two ranges then the process 
will be switched off. 
 

    Cuts in 2 → 2 processes
     
 
 
The minimum invariant pT. 
 
 
 
The maximum invariant pT. 
A value below pTHatMin means there is no upper limit. 
 
 
 
Extra pT cut to avoid the divergences of some processes 
in the limit pT → 0. Specifically, if either or both 
produced particles have a mass below pTHatMinDiverge 
then pT is limited from below by the larger of 
pTHatMin and pTHatMinDiverge. 
 
 
 
Allows masses to be selected according to Breit-Wigner shapes in 
2 → 2 processes, whenever particles have been declared 
with a nonvanishing width above the threshold below. In those cases 
also the limits below will be used for the mass selection. For 
2 → 1 processes the Breit-Wigner shape is part of the 
cross section itself, and therefore always included. 
 
 
 
The minimum width a resonance must have for the mass to be dynamically 
selected according to a Breit-Wigner shape, within the limits set below. 
Only applies when useBreitWigners is on; else the nominal 
mass value is always used. 
 
 

     
For a particle with a Breit-Wigner shape selected, according to the 
rules above and to the rules of the particle species itself, the 
mMin(id) and 
mMax(id) 
methods restrict the allowed mass range of the particle, just like for 
the 2 → 1  processes. 
 

    Cuts in 2 → 3 processes
     
 
There are two main classes of 2 → 3 processes. One is the 
processes such as WW/ZZ-fusion Higgs production, i.e. 
q q → q q H, where there are no special singularities 
associated with two partons in the final state being collinear, 
or even for pT → 0. For this class, no further cuts 
have been introduced than those already available for 2 → 2 
processes. Specifically, for now all three are restricted exactly the 
same way by pTHatMin and pTHatMax. As above, 
Breit-Wigner mass ranges can be restricted. 
 

     
The other 2 → 3 event class is QCD processes, such as 
g g → g g g. Here the soft and collinear singularities 
play a major role, and the phase space generation and cuts have 
been adapted to this. For this class, an alternative set of cuts 
is used, as outlined in the following. First of all the three 
outgoing partons are ordered in falling pT, i.e. 
pT_3 > pT_4 > pT_5 (where the labeling 3, 4, 5 of the outgoing 
partons is random, i.e. unrelated to the order specified in the 
process name). The allowed ranges of pT_3 and pT_5 
can be specified, but obviously pT_3max >= pT_5max and 
pT_3min >= pT_5min. The pT_4 is not constrained 
explicitly, but is constructed from the vector sum of pT_3 
and pT_5, subject to the constraint that it has to lie 
between the two in magnitude. While the pT cuts take care 
of singularities collinear with the incoming beams, it is also 
necessary to handle final-state singularities, when two outgoing 
partons become collinear. This is done by requiring a minimal 
separation in R, where 
R^2 = (Delta eta)^2 + (Delta phi)^2. 
Finally, a note about efficiency. The QCD 2 → 3 phase space 
is not set up to explicitly include mHat as one of the basic 
variables. Such a cut is only done after a phase space point is already 
selected, which means that a narrow mass choice will slow down the 
program appreciably. Also narrow pT_3 and pT_5 bins 
are likely to give inefficient generation, if it gives rise to 
significant indirect restrictions on pT_4. 
 
 
The minimum invariant pT of the highest-pT parton in 
QCD 2 → 3 processes. 
 
 
 
The maximum invariant pT of the highest-pT parton in 
QCD 2 → 3 processes 
A value below pTHat3Min means there is no upper limit. 
 
 
 
The minimum invariant pT of the lowest-pT parton in 
QCD 2 → 3 processes. 
 
 
 
The maximum invariant pT of the lowest-pT parton in 
QCD 2 → 3 processes 
A value below pTHat5Min means there is no upper limit. 
 
 
 
The minimum separation R in (eta, phi) space between 
any two outgoing partons in QCD 2 → 3 processes. 
 
 
 

    Cuts for a second hard process
     
 
If you use the machinery that allows the generation of a specified 
second hard process then, 
by default, the same phase space cuts will be used for it as listed 
above. Optionally, however, you may use a second set of cuts, as 
described here. In this context "first" and "second" is merely a 
technical distinction; you are welcome e.g. to pick pT ranges 
such that the second interaction always has a larger pT than 
the first. 
 
 
By default use the same cuts for a second hard process as for the 
first. If off then instead use the mass and pT 
cuts below, where relevant. (The other cuts above still remain the same.) 
 
 
 
The minimum invariant mass for a second interaction, if separate. 
 
 
 
The maximum invariant mass for a second interaction, if separate. 
A value below mHatMin means there is no upper limit. 
 
 
 
The minimum invariant pT for a second interaction, if separate. 
 
 
 
The maximum invariant pT for a second interaction, if separate. 
A value below pTHatMin means there is no upper limit. 
 
 

    Generation strategy and documentation
     
 
During the initialization stage a simplified function is found, 
that is intended to be above the true cross-section behaviour 
over the whole of phase space. It is chosen to be easily integrable 
and invertible. That way a trial phase space point can be selected 
according this simple function, and then be accepted by the ratio of 
true to the simple function. For a good efficiency the ratio should be 
close to unity,  yet never above it. This constrains the absolute 
normalization of the simple function. The initial search may fail to 
find the phase space point where the true-to-simple ratio is maximal, 
however. This then can lead to subsequent maximum violations, where the 
ratio is above unity. Two alternative strategies are implemented to 
handle such situations, see below. 
 
 
Possibility to print information on the search for phase-space 
coefficients that (in a multichannel approach) provides an analytical 
upper envelope of the differential cross section, and the 
corresponding upper estimate of the cross section. Of interest 
for crosschecks by expert users only. 
 
 
 
Possibility to print information whenever the assumed maximum 
differential cross section of a process is violated, i.e. when 
the initial maximization procedure did not find the true maximum. 
Also, should negative cross sections occur, print whenever a more 
negative value is encountered. 
 
 
 
Strategy for handling cases where a larger cross section is 
obtained during the event generation than was assumed at initialization, 
i.e. when a violation occurs. 

    off:each event comes with a weight, which normally is unity 
(as a consequence of the acceptance/rejection step), and is found in 
Info::weight(). 
For events which exceed the maximum instead the true-to-simple ratio 
is stored as event weight, which then is above unity. If the user so 
wishes this weight can then be carried along when event properties are 
histogrammed. Since normally such violations should be rare and not 
too much above unity one could expect most users to ignore such issues 
be default. Should maximum violations turn out to be frequent (visible 
in the Pythia::statistics() 
output) the option exists to use the information. 

    on:the maximum is increased whenever it is exceeded. Thus 
events generated after this point will be "correctly" distributed, 
while ones generated previously obviously then have had too high a 
relative weight. If violations occur early on and/or are small this 
strategy should do a good job of correcting to the desired phase-space 
distribution. This strategy may be more convenient for the normal user, 
who would not wish to worry about event weights. It does have the 
disadvantage that the raised maximum introduces an extra amount of 
"history memory" to the generation sequence, so that it becomes less 
easy to save-and-restore the random-number 
state for debugging purposes. 
     
 

    Reweighting of 2 → 2 processes
     
 
Events normally come with unit weight, i.e. are distributed across 
the allowed phase space region according to the appropriate differential 
cross sections. Sometimes it may be convenient to have an uneven 
distribution of events. The classical example here is that many cross 
sections drop off with transverse momentum pT, such that few 
events are generated at large pT scales. If one wants to 
plot the pT cross section, and all that comes with it, the 
statistical error will then degrade with increasing pT 
where fewer events end up. 
 

     
One solution is to split the full pT range into several 
separate subranges, where the events of each subsample obtains a 
different overall normalization. Specifically, if you generate a 
comparable number of events in each pT bin, such that 
larger pT bins are oversampled, these bins come with a 
correspondingly reduced overall weight, that needs to be taken into 
account when the bins are combined. The other is to have a continuously 
increasing oversampling of events at larger pT scales, which 
is compensated by a continuously decreasing weight for the event. 
 

     
Both of these solutions are supported. Specifically, for 
2 → 2 processes, the pTHat scale offers a 
convenient classification of the event. (Of course, two events 
starting out from the same pTHat scale will experience 
different parton shower evolutions, etc., and may therefore look 
quite different at the end.) The two cuts 
PhaseSpace:pTHatMin and PhaseSpace:pTHatMax 
therefore offers a way to slice a pT range into subranges, 
see e.g. main08.cc. Alternatively the 
User Hooks machinery offers the 
possibility for you to define your own reweighting of phase space 
sampling, with a corresponding event weight, with 
UserHooks::canBiasSelection and related methods. 
 

     
As a simplified option, we here offer the possibility to bias the 
2 → 2 sampling by a power of pTHat, then with 
events having a weight the inverse of this. This fast track will only 
work under a number of strict conditions, implemented to reduce the 
risk of abuse. (Whereas a UserHooks setup can be more 
flexible.) Specifically it will work if only high-pT 
2 → 2 processes already implemented in PYTHIA are requested, 
notably the HardQCD ones. That is, you cannot mix with 
2 → 1 or 2 → 3 processes, nor with external 
processes (notably Les Houches input) or SoftQCD ones, 
and  you cannot use the option to define a 
second hard process in 
the same event. Furthermore you have to be careful about the choice 
of PhaseSpace:pTHatMin, since a pTHat = 0 
event would come with an infinite weight. 
 
 
Possibility to switch on a biased phase space sampling, 
with compensatingly weighted events, for 2 → 2 processes. 
Can only be used under the specific conditions explained in 
the paragraph above; under other conditions the initialization 
will abort. 
 
 
 
If the above flag is on, then a 2 → 2 process at a scale 
pTHat will be oversampled in phase space by an amount 
(pTHat/pTRef)^pow, where you set the power pow 
here. Events are assigned a compensating 
weight the inverse of this, 
i.e. Info::weight() will return (pTRef/pTHat)^pow. 
This weight should then be used in the histogramming of event properties. 
The final overall normalization also involves the 
Info::weightSum() value. 
 
 
 
The reference scale pTRef introduced above, such that events 
with this pTHat obtain unit weight in the reweighting procedure. 
The value of this parameter has no impact on the final result of the 
reweighting procedure, but is only there for convenience, i.e. to 
give "reasonably-sized" weights. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/QCDProcesses.xml0000444000175000017500000002653712357055027016666 0ustar  sunsun 
 

    QCD Processes
     
 
This section is subdivided into soft and hard QCD processes, with 
open charm and bottom production set aside as a special part of the 
latter, and three-jet topologies as a special subset. Kindly note 
that there is a considerable amount of overlap between the soft and 
hard process classes, so that you are likely to double-count 
if you include both in a run. 
 

    Soft QCD processes
     
 
As a rule, the processes in this class should not be mixed with 
the simulation of other processes. All by themselves, they are 
intended to represent the total cross section of hadron collisions, 
with the exception of the "rare processes" that one wishes to study 
separately. In particular, jet physics at all scales occurs as part 
of the minimum-bias description. 
 

     
We here use the "minimum bias" expression as a shorthand for 
inelastic, nondiffractive events. Strictly speaking, "minimum bias" 
represents an experimental procedure of accepting "everything", with 
some non-universal cuts to exclude elastic and diffractive topologies. 
In practice, the experimental minimum-bias sample may then contain 
some contamination of what is in PYTHIA classified as diffractive, 
especially (high-mass) double diffractive. 
 

     
Some options to modify these cross sections are found on the 
Total Cross Sections page. 
 
 
Common switch for the group of all soft QCD processes, 
as listed separately in the following. 
 
 
 
The inelastic nondiffrative part of the total cross section, i.e. 
what would often be called the "minimum-bias component". 
The formalism is based on an  
eikonalized description of all the hard QCD processes, so 
includes them in combination with low-pT events. 
Code 101.
     
Since the current description is handled by the multiparton-interactions 
machinery as part of the parton-level processing, no hard process at 
all is defined at the process-level part of the event generation. 
Fortunately, in this case a special 
codeSub() 
method provides information on the first, i.e. hardest, subprocess 
selected by the multiparton-interactions machinery. 
Note: this flag was precviously named 
SoftQCD:minBias, since it is almost equivalent to 
the minimum-bias component of the total cross section. It has invited 
some confusion, however, since "minimum-bias" usually refers to the 
experimental procedure, while "(inelastic) non-diffractive" better 
relates to the way events are generated in the program code. 
(Although also what separates diffractive from nondiffractive physics 
can be a matter of definition.)  For backwards compatibility the 
SoftQCD:minBias name can be used as an alternative to 
SoftQCD:nonDiffractive for some time yet. 
     
 
 
Elastic scattering A B → A B. 
Code 102. It is possible to include  
Coulomb corrections, but by default this is off. 
 
 
 
Single diffractive scattering A B → X B and 
A B → A X. See page on  
Diffraction for details. Codes 103 and 104. 
 
 
 
Double diffractive scattering A B → X_1 X_2. 
See page on Diffraction 
for details. Code 105. 
 
 
 
Central diffractive scattering A B → A X B 
(a.k.a. double-Pomeron exchange, DPE). See pages on 
Total Cross Sections 
and on Diffraction for details. 
In particular note the SigmaTotal:zeroAXB flag, 
which is off in most tunes, and that therefore would need to 
be reset to on after the selection of a tune (even the default one). 
Code 106. 
 
 
 
All of the above processes, except for elastic. Codes 101, 
103, 104, 105 and 106. 
 
 

    Hard QCD processes
     
 
This group contains the processes for QCD jet production above 
some minimum pT threshold. The pT_min cut cannot be put 
too low, or else unreasonably large jet cross sections will be obtained. 
This is because the divergent perturbative QCD cross section is used 
in this process group, without any regularization modifications. 
An eikonalized description, intended to be valid at all pT, 
is instead included as part of the multiparton-interactions framework, 
specifically in SoftQCD:nonDiffractive above. 
Warning 1: you must remember to set the 
PhaseSpace:pTHatMin value if you use any of these 
processes; there is no sensible default. 
Warning 2: you must not mix processes from the 
SoftQCD and HardQCD process groups, since 
this is likely to lead to double-counting. 
   
 
Common switch for the group of all hard QCD processes, 
as listed separately in the following. 
 
 
 
Scatterings g g → g g. 
Code 111. 
 
 
 
Scatterings g g → q qbar, where q by default 
is a light quark (u, d, s) (see below). 
Code 112. 
 
 
 
Scatterings q g → q g and qbar g → qbar g. 
Code 113. 
 
 
 
Scatterings q q' → q q', q qbar' → q qbar', 
qbar qbar' → qbar qbar', where q' and q 
may agree, but the outgoing flavours equals the incoming ones 
Code 114. 
 
 
 
Scatterings q qbar → g g. 
Code 115. 
 
 
 
Scatterings q qbar → q' qbar', where q' 
by default is a light quark (u, d, s) (see below). 
Code 116. 
 
 
 
Number of allowed outgoing new quark flavours in the above 
g g → q qbar and q qbar → q' qbar' processes, 
where quarks are treated as massless in the matrix-element expressions 
(but correctly in the phase space). It is thus assumed that c cbar 
and b bbar are added separately with masses taken into account, 
using the processes below. A change to 4 would also include c cbar 
in the massless approximation, etc. In order to avoid double-counting 
the processes below should then not be used simultaneously. 
 
 

    Hard QCD processes: heavy-flavour subset
     
 
These processes form a natural part of the above class, but can 
also be generated separately. Formally the heavy-quark mass makes 
these matrix elements finite in the pT → 0 limit, but at 
high energies one may still question the validity of the expressions 
at low pT values, like for the other hard-QCD processes. 
Also as above, an eikonalized description, intended to be valid at all 
pT, is included as part of the multiparton-interactions framework. 

    Note that the processes below only represent the "tip of the iceberg" 
of charm and bottom production at high energies, where flavour excitation 
and shower branchings provide major additional sources. All these sources 
come together in the descriptions offered by 
SoftQCD:nonDiffractive and HardQCD:all. 
 
 
Scatterings g g → c cbar. 
Code 121. 
 
 
 
Scatterings q qbar → c cbar. 
Code 122. 
 
 
 
Sum of the previous two event types. 
Codes 121 and 122. 
 
 
 
Scatterings g g → b bbar. 
Code 123. 
 
 
 
Scatterings q qbar → b bbar. 
Code 124. 
 
 
 
Sum of the previous two event types. 
Codes 123 and 124. 
 
 

    Hard QCD three-parton processes
     
 
Three-parton final states are generated by showers off two-parton 
processes. Topologies then cannot be specified beforehand, beyond 
what is provided by the two-parton hard process. For some checks 
it may be convenient to have access to the dedicated three-parton 
final states, which is what this set of processes allows. 
Cross sections have been taken from Ber81. 

    Note that the processes in this section are  not 
affected by the HardQCD:all switch. In fact, it would 
be double-counting to include both the HardQCD:all and 
the HardQCD:3parton processes in a run or study. 

    Warning: this section is still incomplete, e.g. the 
selection of colour flow is very simple, and so it should only 
be used with caution. 
   
 
Common switch for the group of all hard QCD processes with three 
partons in the final state, as listed separately in the following. 
 
 
 
Scatterings g g → g g g. 
Code 131. 
 
 
 
Scatterings q qbar → g g g. 
Code 132. 
 
 
 
Scatterings q g → q g g and qbar g → qbar g g. 
Code 133. 
 
 
 
Scatterings q q' → q q' g, q qbar' → q qbar' g, 
and qbar qbar' → qbar qbar' g. 
Code 134. 
 
 
 
Scatterings q q → q q g and 
qbar qbar → qbar qbar g 
(q qbar → q qbar g scatterings are considered separately 
below, see HardQCD:qqbar2qqbargSame). 
Code 135. 
 
 
 
Scatterings q qbar → q' qbar' g, where q' 
by default is a light quark (u, d, s) 
(see HardQCD:nQuarkNew above). 
Code 136. 
 
 
 
Scatterings q qbar → q qbar g. 
Code 137. 
 
 
 
Scatterings g g → q qbar g, where q by 
default is a light quark (u, d, s) 
(see HardQCD:nQuarkNew above). 
Code 138. 
 
 
 
Scatterings q g → q q' qbar' and 
qbar g → qbar qbar' q', where q' 
by default is a light quark (u, d, s) 
(see HardQCD:nQuarkNew above). 
Code 139. 
 
 
 
Scatterings q g → q q qbar and 
qbar g → qbar qbar q. 
Code 140. 
 
 
 
     
 
 
 
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  2.71858824273294025e-02
  3.94420605943765559e-02
  5.72236765935022068e-02
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  7.61224489795918280e-01
  7.79591836734693899e-01
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  9.81632653061224492e-01
  1.00000000000000000e+00
	50
  2.00000000000000000e+00
  2.00000000000000000e+00
  2.87178440310906069e+00
  4.12357282897023225e+00
  5.92100606766051119e+00
  8.50192643791078417e+00
  1.22078498703863847e+01
  1.75291564266362947e+01
  2.51699790128365315e+01
  3.61413765778231735e+01
  5.18951207815418769e+01
  7.45157992289464204e+01
  1.06996655005447266e+02
  1.53635662514742222e+02
  2.20604249685582147e+02
  3.16763921753315742e+02
  4.54838844979415740e+02
  6.53099550470012673e+02
  9.37780551358661114e+02
  1.34655178046540982e+03
  1.93350320055964903e+03
  2.77630216736432658e+03
  3.98647063127737511e+03
  5.72414209117735118e+03
  8.21925098931160392e+03
  1.18019583981718843e+04
  1.69463400270060156e+04
  2.43331174896693374e+04
  3.49397336429263014e+04
  5.01696910622703654e+04
  7.20382681507140660e+04
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  6.31385035558919422e+05
  9.06600848737282678e+05
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  7.94597404701851588e+06
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  1.63829013399941083e+07
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  3.37780434126498923e+07
  4.85016291199942827e+07
  6.96431110160899460e+07
  1.00000000000000000e+08
	0
  0.0000000E+00  1.8000000E-09  2.5000070E-09  1.1393546E+01  1.7824080E+02  1.7824080E+02  3.6410270E+02  1.7824079E+02  1.7824080E+02  1.1393545E+01  2.5000070E-09  2.0000000E-09  0.0000000E+00  2.0905010E+00
  0.0000000E+00  1.8000023E-09  6.3113042E+00  1.6478507E+01  1.7760945E+02  1.7762684E+02  4.9960690E+02  1.7762684E+02  1.7760945E+02  1.6478506E+01  6.3113042E+00  2.0000116E-09  0.0000000E+00  2.4023692E+00
  0.0000000E+00  3.4000035E-09  1.3080264E+01  2.2571937E+01  1.7814893E+02  1.7818316E+02  6.4873645E+02  1.7818315E+02  1.7814893E+02  2.2571936E+01  1.3080264E+01  2.6000035E-09  0.0000000E+00  2.6787476E+00
  0.0000000E+00  3.1000049E-09  2.0246917E+01  2.9176001E+01  1.7983783E+02  1.7988582E+02  8.1277459E+02  1.7988582E+02  1.7983783E+02  2.9175999E+01  2.0246917E+01  3.5000040E-09  0.0000000E+00  2.9560243E+00
  0.0000000E+00  2.0000031E-09  2.7782990E+01  3.6167830E+01  1.8244052E+02  1.8250287E+02  9.8830657E+02  1.8250287E+02  1.8244052E+02  3.6167828E+01  2.7782990E+01  1.9000028E-09  0.0000000E+00  3.2342055E+00
  0.0000000E+00  2.8000023E-09  3.5660738E+01  4.3592359E+01  1.8570177E+02  1.8577873E+02  1.1747925E+03  1.8577872E+02  1.8570177E+02  4.3592357E+01  3.5660738E+01  3.6000026E-09  0.0000000E+00  3.5132971E+00
  0.0000000E+00  2.1000017E-09  4.3870139E+01  5.1344723E+01  1.8950168E+02  1.8959270E+02  1.3720400E+03  1.8959269E+02  1.8950168E+02  5.1344722E+01  4.3870139E+01  2.1000034E-09  0.0000000E+00  3.7933056E+00
  0.0000000E+00  2.5771555E+00  5.2184550E+01  5.9241835E+01  1.9369687E+02  1.9380190E+02  1.5763567E+03  1.9380189E+02  1.9369687E+02  5.9241833E+01  5.2184550E+01  2.5771555E+00  0.0000000E+00  4.0742019E+00
  0.0000000E+00  1.1303489E+01  6.0340069E+01  6.7001168E+01  1.9796208E+02  1.9808089E+02  1.7828213E+03  1.9808088E+02  1.9796208E+02  6.7001166E+01  6.0340069E+01  1.1303489E+01  0.0000000E+00  4.3559716E+00
  0.0000000E+00  2.0345403E+01  6.8831140E+01  7.5073857E+01  2.0271186E+02  2.0284411E+02  2.0003223E+03  2.0284411E+02  2.0271186E+02  7.5073855E+01  6.8831140E+01  2.0345403E+01  0.0000000E+00  4.6387245E+00
  0.0000000E+00  2.9700197E+01  7.7651714E+01  8.3608834E+01  2.0793187E+02  2.0807748E+02  2.2286099E+03  2.0807748E+02  2.0793187E+02  8.3608832E+01  7.7651714E+01  2.9700197E+01  0.0000000E+00  4.9224687E+00
  0.0000000E+00  3.9370017E+01  8.6800033E+01  9.2469116E+01  2.1360479E+02  2.1376287E+02  2.4680842E+03  2.1376287E+02  2.1360479E+02  9.2469114E+01  8.6800033E+01  3.9370017E+01  0.0000000E+00  5.2072114E+00
  0.0000000E+00  4.9358046E+01  9.6293879E+01  1.0164673E+02  2.1977874E+02  2.1994975E+02  2.7201757E+03  2.1994974E+02  2.1977873E+02  1.0164673E+02  9.6293879E+01  4.9358046E+01  0.0000000E+00  5.4929562E+00
  0.0000000E+00  5.9661583E+01  1.0616530E+02  1.1114877E+02  2.2633845E+02  2.2652225E+02  2.9850948E+03  2.2652224E+02  2.2633845E+02  1.1114877E+02  1.0616530E+02  5.9661583E+01  0.0000000E+00  5.7797198E+00
  0.0000000E+00  7.0281190E+01  1.1637020E+02  1.2107396E+02  2.3381350E+02  2.3398668E+02  3.2621448E+03  2.3398667E+02  2.3381350E+02  1.2107396E+02  1.1637020E+02  7.0281190E+01  0.0000000E+00  6.0675059E+00
  0.0000000E+00  8.1222088E+01  1.2691289E+02  1.3135405E+02  2.4259687E+02  2.4277748E+02  3.5515034E+03  2.4277747E+02  2.4259687E+02  1.3135405E+02  1.2691289E+02  8.1222088E+01  0.0000000E+00  6.3563222E+00
  0.0000000E+00  9.2510859E+01  1.3780541E+02  1.4197016E+02  2.5179347E+02  2.5198480E+02  3.8529589E+03  2.5198480E+02  2.5179346E+02  1.4197016E+02  1.3780541E+02  9.2510859E+01  0.0000000E+00  6.6461770E+00
  0.0000000E+00  1.0416866E+02  1.4903224E+02  1.5291013E+02  2.6136290E+02  2.6156493E+02  4.1671696E+03  2.6156492E+02  2.6136290E+02  1.5291013E+02  1.4903224E+02  1.0416866E+02  0.0000000E+00  6.9370783E+00
  0.0000000E+00  1.1621331E+02  1.6059829E+02  1.6417330E+02  2.7132271E+02  2.7153526E+02  4.4971849E+03  2.7153526E+02  2.7132271E+02  1.6417330E+02  1.6059829E+02  1.1621331E+02  0.0000000E+00  7.2290334E+00
  0.0000000E+00  1.2860523E+02  1.7252601E+02  1.7575912E+02  2.8172170E+02  2.8194477E+02  4.8434938E+03  2.8194476E+02  2.8172170E+02  1.7575911E+02  1.7252601E+02  1.2860523E+02  0.0000000E+00  7.5220522E+00
  0.0000000E+00  1.4134560E+02  1.8482002E+02  1.8768469E+02  2.9253505E+02  2.9276817E+02  5.2040080E+03  2.9276816E+02  2.9253505E+02  1.8768469E+02  1.8482002E+02  1.4134560E+02  0.0000000E+00  7.8161429E+00
  0.0000000E+00  1.5443540E+02  1.9754784E+02  2.0009928E+02  3.0373556E+02  3.0397894E+02  5.5781978E+03  3.0397893E+02  3.0373555E+02  2.0009928E+02  1.9754784E+02  1.5443540E+02  0.0000000E+00  8.1113139E+00
  0.0000000E+00  1.6787549E+02  2.1071179E+02  2.1296108E+02  3.1530926E+02  3.1556283E+02  5.9661418E+03  3.1556282E+02  3.1530926E+02  2.1296107E+02  2.1071179E+02  1.6787549E+02  0.0000000E+00  8.4075732E+00
  0.0000000E+00  1.8166671E+02  2.2423688E+02  2.2622446E+02  3.2725428E+02  3.2751796E+02  6.3679070E+03  3.2751795E+02  3.2725428E+02  2.2622446E+02  2.2423688E+02  1.8166671E+02  0.0000000E+00  8.7049283E+00
  0.0000000E+00  1.9580956E+02  2.3812296E+02  2.3984097E+02  3.3961915E+02  3.3989427E+02  6.7835395E+03  3.3989426E+02  3.3961915E+02  2.3984096E+02  2.3812296E+02  1.9580956E+02  0.0000000E+00  9.0033929E+00
  0.0000000E+00  2.1030467E+02  2.5237011E+02  2.5387210E+02  3.5243327E+02  3.5271841E+02  7.2130835E+03  3.5271840E+02  3.5243327E+02  2.5387209E+02  2.5237011E+02  2.1030467E+02  0.0000000E+00  9.3029727E+00
  1.0002922E-10  2.2515244E+02  2.6697813E+02  2.6849661E+02  3.6563009E+02  3.6592519E+02  7.6565644E+03  3.6592518E+02  3.6563009E+02  2.6849661E+02  2.6697813E+02  2.2515244E+02  1.0002922E-10  9.6036775E+00
  5.9516793E+00  2.4013329E+02  2.8172766E+02  2.8326523E+02  3.7898999E+02  3.7930430E+02  8.1160896E+03  3.7930429E+02  3.7899000E+02  2.8326523E+02  2.8172766E+02  2.4013329E+02  5.9516793E+00  9.9050461E+00
  2.2547680E+01  2.5509796E+02  2.9646900E+02  2.9802251E+02  3.9237804E+02  3.9270213E+02  8.5849262E+03  3.9270213E+02  3.9237805E+02  2.9802251E+02  2.9646900E+02  2.5509796E+02  2.2547680E+01  1.0206823E+01
  3.9527348E+01  2.7050229E+02  3.1159193E+02  3.1316097E+02  4.0616264E+02  4.0649647E+02  9.0690266E+03  4.0649646E+02  4.0616264E+02  3.1316096E+02  3.1159193E+02  2.7050229E+02  3.9527348E+01  1.0509970E+01
  5.6893909E+01  2.8641381E+02  3.2709773E+02  3.2868191E+02  4.2034404E+02  4.2068756E+02  9.5684284E+03  4.2068756E+02  4.2034405E+02  3.2868191E+02  3.2709773E+02  2.8641381E+02  5.6893909E+01  1.0814500E+01
  7.4650287E+01  3.0289668E+02  3.4298743E+02  3.4458639E+02  4.3492226E+02  4.3527543E+02  1.0083155E+04  4.3527543E+02  4.3492227E+02  3.4458639E+02  3.4298743E+02  3.0289668E+02  7.4650287E+01  1.1120426E+01
  9.2799108E+01  3.1979176E+02  3.5926191E+02  3.6093214E+02  4.4989732E+02  4.5026008E+02  1.0613222E+04  4.5026008E+02  4.4989732E+02  3.6093214E+02  3.5926191E+02  3.1979176E+02  9.2799108E+01  1.1427764E+01
  1.1134273E+02  3.3710000E+02  3.7607896E+02  3.7782260E+02  4.6526909E+02  4.6564142E+02  1.1161498E+04  4.6564141E+02  4.6526909E+02  3.7782259E+02  3.7607896E+02  3.3710000E+02  1.1134273E+02  1.1736527E+01
  1.3028325E+02  3.5482214E+02  3.9335769E+02  3.9511480E+02  4.8103746E+02  4.8141932E+02  1.1726432E+04  4.8141931E+02  4.8103746E+02  3.9511480E+02  3.9335769E+02  3.5482214E+02  1.3028325E+02  1.2046729E+01
  1.4962254E+02  3.7295885E+02  4.1103903E+02  4.1280934E+02  4.9720224E+02  4.9759358E+02  1.2307924E+04  4.9759357E+02  4.9720224E+02  4.1280933E+02  4.1103903E+02  3.7295885E+02  1.4962254E+02  1.2358387E+01
  1.6936224E+02  3.9151057E+02  4.2912333E+02  4.3090655E+02  5.1376308E+02  5.1416387E+02  1.2907749E+04  5.1416387E+02  5.1376309E+02  4.3090655E+02  4.2912333E+02  3.9151057E+02  1.6936224E+02  1.2671514E+01
  1.8950377E+02  4.1047767E+02  4.4787946E+02  4.4970743E+02  5.3071962E+02  5.3112982E+02  1.3523240E+04  5.3112982E+02  5.3071962E+02  4.4970743E+02  4.4787946E+02  4.1047767E+02  1.8950377E+02  1.2986125E+01
  2.1004835E+02  4.2986035E+02  4.6710415E+02  4.6894458E+02  5.4915310E+02  5.4942195E+02  1.4154364E+04  5.4942195E+02  5.4915311E+02  4.6894457E+02  4.6710415E+02  4.2986035E+02  2.1004835E+02  1.3302238E+01
  2.3099701E+02  4.4965869E+02  4.8674810E+02  4.8860076E+02  5.6800184E+02  5.6827653E+02  1.4801082E+04  5.6827652E+02  5.6800184E+02  4.8860075E+02  4.8674810E+02  4.4965869E+02  2.3099701E+02  1.3619866E+01
  2.5235061E+02  4.6997293E+02  5.0681114E+02  5.0867581E+02  5.8725701E+02  5.8753751E+02  1.5463350E+04  5.8753750E+02  5.8725701E+02  5.0867580E+02  5.0681114E+02  4.6997293E+02  2.5235061E+02  1.3939026E+01
  2.7410980E+02  4.9077607E+02  5.2729297E+02  5.2916944E+02  6.0691802E+02  6.0720431E+02  1.6141115E+04  6.0720430E+02  6.0691802E+02  5.2916944E+02  5.2729297E+02  4.9077607E+02  2.7410980E+02  1.4259737E+01
  2.9627515E+02  5.1203377E+02  5.4819325E+02  5.5008133E+02  6.2726346E+02  6.2759413E+02  1.6834324E+04  6.2759413E+02  6.2726347E+02  5.5008133E+02  5.4819325E+02  5.1203377E+02  2.9627515E+02  1.4582010E+01
  3.1884703E+02  5.3371753E+02  5.6951149E+02  5.7141099E+02  6.4807466E+02  6.4841193E+02  1.7542914E+04  6.4841192E+02  6.4807467E+02  5.7141099E+02  5.6951149E+02  5.3371753E+02  3.1884703E+02  1.4905866E+01
  3.4182566E+02  5.5582686E+02  5.9125112E+02  5.9315786E+02  6.6941494E+02  6.6975961E+02  1.8266822E+04  6.6975961E+02  6.6941495E+02  5.9315786E+02  5.9125112E+02  5.5582686E+02  3.4182566E+02  1.5231321E+01
  3.6521113E+02  5.7836115E+02  6.1351994E+02  6.1543212E+02  6.9120117E+02  6.9155241E+02  1.9005977E+04  6.9155240E+02  6.9120118E+02  6.1543212E+02  6.1351994E+02  5.7836115E+02  3.6521113E+02  1.5558392E+01
  3.8900343E+02  6.0131969E+02  6.3635000E+02  6.3827311E+02  7.1341105E+02  7.1376882E+02  1.9760307E+04  7.1376882E+02  7.1341106E+02  6.3827311E+02  6.3635000E+02  6.0131969E+02  3.8900343E+02  1.5887097E+01
  4.1320240E+02  6.2470171E+02  6.5960824E+02  6.6154206E+02  7.3604351E+02  7.3640779E+02  2.0529734E+04  7.3640779E+02  7.3604351E+02  6.6154206E+02  6.5960824E+02  6.2470171E+02  4.1320240E+02  1.6217454E+01
  4.3780780E+02  6.4850636E+02  6.8329151E+02  6.8523592E+02  7.5925964E+02  7.5961552E+02  2.1314179E+04  7.5961551E+02  7.5925965E+02  6.8523591E+02  6.8329151E+02  6.4850636E+02  4.3780780E+02  1.6549480E+01
  4.6281924E+02  6.7273268E+02  7.0739879E+02  7.0935364E+02  7.8291455E+02  7.8327662E+02  2.2113559E+04  7.8327662E+02  7.8291456E+02  7.0935364E+02  7.0739879E+02  6.7273268E+02  4.6281924E+02  1.6883196E+01
  0.0000000E+00  2.1000000E-09  2.6000059E-09  1.0470765E+01  1.5298824E+02  1.5298824E+02  3.3195951E+02  1.5298824E+02  1.5298824E+02  1.0470764E+01  2.6000059E-09  2.7000000E-09  0.0000000E+00  1.7902126E+00
  0.0000000E+00  2.1000015E-09  5.5344759E+00  1.4864077E+01  1.5028484E+02  1.5029949E+02  4.4696880E+02  1.5029949E+02  1.5028484E+02  1.4864075E+01  5.5344759E+00  2.7000020E-09  0.0000000E+00  1.9933672E+00
  0.0000000E+00  2.2000042E-09  1.1432467E+01  2.0158893E+01  1.5087262E+02  1.5090135E+02  5.7607358E+02  1.5090135E+02  1.5087262E+02  2.0158891E+01  1.1432467E+01  4.2000018E-09  0.0000000E+00  2.2157766E+00
  0.0000000E+00  2.0000053E-09  1.7648722E+01  2.5868174E+01  1.5226255E+02  1.5230498E+02  7.1707640E+02  1.5230498E+02  1.5226255E+02  2.5868172E+01  1.7648722E+01  3.7000046E-09  0.0000000E+00  2.4389077E+00
  0.0000000E+00  2.4000019E-09  2.4158816E+01  3.1907433E+01  1.5437175E+02  1.5442685E+02  8.6742174E+02  1.5442684E+02  1.5437174E+02  3.1907431E+01  2.4158816E+01  2.3000008E-09  0.0000000E+00  2.6627657E+00
  0.0000000E+00  2.7000027E-09  3.0946074E+01  3.8247988E+01  1.5707117E+02  1.5713912E+02  1.0268352E+03  1.5713911E+02  1.5707117E+02  3.8247986E+01  3.0946074E+01  3.0000017E-09  0.0000000E+00  2.8873558E+00
  0.0000000E+00  1.9000017E-09  3.7996950E+01  4.4902491E+01  1.6027734E+02  1.6035766E+02  1.1951375E+03  1.6035766E+02  1.6027734E+02  4.4902489E+01  3.7996950E+01  1.5000017E-09  0.0000000E+00  3.1126832E+00
  0.0000000E+00  2.2148899E+00  4.5135974E+01  5.1675460E+01  1.6379910E+02  1.6389172E+02  1.3690614E+03  1.6389172E+02  1.6379910E+02  5.1675457E+01  4.5135974E+01  2.2148899E+00  0.0000000E+00  3.3387236E+00
  0.0000000E+00  9.7096908E+00  5.2124801E+01  5.8331391E+01  1.6738581E+02  1.6749052E+02  1.5444308E+03  1.6749052E+02  1.6738581E+02  5.8331389E+01  5.2124801E+01  9.7096908E+00  0.0000000E+00  3.5654646E+00
  0.0000000E+00  1.7461609E+01  5.9388740E+01  6.5264316E+01  1.7140059E+02  1.7151709E+02  1.7288578E+03  1.7151708E+02  1.7140060E+02  6.5264314E+01  5.9388740E+01  1.7461609E+01  0.0000000E+00  3.7929962E+00
  0.0000000E+00  2.5472409E+01  6.6925583E+01  7.2561205E+01  1.7581543E+02  1.7594362E+02  1.9225809E+03  1.7594361E+02  1.7581543E+02  7.2561203E+01  6.6925583E+01  2.5472409E+01  0.0000000E+00  4.0213245E+00
  0.0000000E+00  3.3744939E+01  7.4750910E+01  8.0121853E+01  1.8059790E+02  1.8073761E+02  2.1258675E+03  1.8073760E+02  1.8059790E+02  8.0121851E+01  7.4750910E+01  3.3744939E+01  0.0000000E+00  4.2504560E+00
  0.0000000E+00  4.2278064E+01  8.2884163E+01  8.7951169E+01  1.8573812E+02  1.8588920E+02  2.3404946E+03  1.8588919E+02  1.8573812E+02  8.7951166E+01  8.2884163E+01  4.2278064E+01  0.0000000E+00  4.4803952E+00
  0.0000000E+00  5.1082684E+01  9.1299275E+01  9.6070652E+01  1.9168245E+02  1.9182654E+02  2.5649869E+03  1.9182653E+02  1.9168246E+02  9.6070649E+01  9.1299275E+01  5.1082684E+01  0.0000000E+00  4.7111511E+00
  0.0000000E+00  6.0155544E+01  9.9995977E+01  1.0454263E+02  1.9857688E+02  1.9872785E+02  2.7999004E+03  1.9872784E+02  1.9857688E+02  1.0454263E+02  9.9995977E+01  6.0155544E+01  0.0000000E+00  4.9427287E+00
  0.0000000E+00  6.9506886E+01  1.0898569E+02  1.1330232E+02  2.0602690E+02  2.0618744E+02  3.0449011E+03  2.0618743E+02  2.0602690E+02  1.1330232E+02  1.0898569E+02  6.9506886E+01  0.0000000E+00  5.1751344E+00
  0.0000000E+00  7.9171794E+01  1.1827633E+02  1.2233298E+02  2.1381636E+02  2.1398641E+02  3.3003495E+03  2.1398641E+02  2.1381636E+02  1.2233298E+02  1.1827633E+02  7.9171794E+01  0.0000000E+00  5.4083745E+00
  0.0000000E+00  8.9152472E+01  1.2785191E+02  1.3163423E+02  2.2195720E+02  2.2213664E+02  3.5685354E+03  2.2213664E+02  2.2195721E+02  1.3163423E+02  1.2785191E+02  8.9152472E+01  0.0000000E+00  5.6424563E+00
  0.0000000E+00  9.9423839E+01  1.3771056E+02  1.4120575E+02  2.3044895E+02  2.3063768E+02  3.8516396E+03  2.3063767E+02  2.3044896E+02  1.4120575E+02  1.3771056E+02  9.9423839E+01  0.0000000E+00  5.8773860E+00
  0.0000000E+00  1.0998715E+02  1.4787602E+02  1.5104737E+02  2.3931147E+02  2.3950912E+02  4.1461767E+03  2.3950911E+02  2.3931147E+02  1.5104737E+02  1.4787602E+02  1.0998715E+02  0.0000000E+00  6.1131702E+00
  0.0000000E+00  1.2084345E+02  1.5840738E+02  1.6129307E+02  2.4855690E+02  2.4876366E+02  4.4522354E+03  2.4876365E+02  2.4855690E+02  1.6129307E+02  1.5840738E+02  1.2084345E+02  0.0000000E+00  6.3498160E+00
  0.0000000E+00  1.3199364E+02  1.6930258E+02  1.7192750E+02  2.5813624E+02  2.5835202E+02  4.7698908E+03  2.5835202E+02  2.5813624E+02  1.7192750E+02  1.6930258E+02  1.3199364E+02  0.0000000E+00  6.5873301E+00
  0.0000000E+00  1.4343859E+02  1.8050631E+02  1.8291265E+02  2.6804733E+02  2.6827207E+02  5.0992078E+03  2.6827206E+02  2.6804733E+02  1.8291265E+02  1.8050631E+02  1.4343859E+02  0.0000000E+00  6.8257197E+00
  0.0000000E+00  1.5517900E+02  1.9201428E+02  1.9419538E+02  2.7828823E+02  2.7852186E+02  5.4402366E+03  2.7852185E+02  2.7828823E+02  1.9419538E+02  1.9201428E+02  1.5517900E+02  0.0000000E+00  7.0649928E+00
  0.0000000E+00  1.6721534E+02  2.0382639E+02  2.0577555E+02  2.8885670E+02  2.8909915E+02  5.7930114E+03  2.8909914E+02  2.8885670E+02  2.0577554E+02  2.0382639E+02  1.6721534E+02  0.0000000E+00  7.3051544E+00
  0.0000000E+00  1.7954810E+02  2.1594258E+02  2.1784676E+02  2.9975105E+02  3.0000226E+02  6.1621354E+03  3.0000226E+02  2.9975105E+02  2.1784675E+02  2.1594258E+02  1.7954810E+02  0.0000000E+00  7.5462128E+00
  1.0002501E-10  1.9224235E+02  2.2836268E+02  2.3027971E+02  3.1096951E+02  3.1122943E+02  6.5522246E+03  3.1122942E+02  3.1096951E+02  2.3027971E+02  2.2836268E+02  1.9224235E+02  1.0002501E-10  7.7881756E+00
  5.0944063E+00  2.0515774E+02  2.4090212E+02  2.4283420E+02  3.2232718E+02  3.2260339E+02  6.9493866E+03  3.2260338E+02  3.2232719E+02  2.4283419E+02  2.4090212E+02  2.0515774E+02  5.0944063E+00  8.0306687E+00
  1.9296254E+01  2.1818043E+02  2.5343518E+02  2.5537968E+02  3.3371032E+02  3.3399508E+02  7.3483257E+03  3.3399507E+02  3.3371033E+02  2.5537968E+02  2.5343518E+02  2.1818043E+02  1.9296254E+01  8.2734834E+00
  3.3820975E+01  2.3154758E+02  2.6628980E+02  2.6831168E+02  3.4542907E+02  3.4572233E+02  7.7601399E+03  3.4572232E+02  3.4542907E+02  2.6831168E+02  2.6628980E+02  2.3154758E+02  3.3820975E+01  8.5173992E+00
  4.8671156E+01  2.4526024E+02  2.7958780E+02  2.8166936E+02  3.5748335E+02  3.5778508E+02  8.1857029E+03  3.5778507E+02  3.5748336E+02  2.8166936E+02  2.7958780E+02  2.4526024E+02  4.8671156E+01  8.7624270E+00
  6.3849098E+01  2.5931926E+02  2.9327084E+02  2.9536360E+02  3.6987298E+02  3.7018313E+02  8.6266046E+03  3.7018312E+02  3.6987298E+02  2.9536360E+02  2.9327084E+02  2.5931926E+02  6.3849098E+01  9.0085778E+00
  7.9356889E+01  2.7372544E+02  3.0729141E+02  3.0939509E+02  3.8259782E+02  3.8291635E+02  9.0811154E+03  3.8291635E+02  3.8259783E+02  3.0939509E+02  3.0729141E+02  2.7372544E+02  7.9356889E+01  9.2558628E+00
  9.5196326E+01  2.8847933E+02  3.2164994E+02  3.2376429E+02  3.9565755E+02  3.9598443E+02  9.5511846E+03  3.9598443E+02  3.9565756E+02  3.2376428E+02  3.2164994E+02  2.8847933E+02  9.5196326E+01  9.5042935E+00
  1.1136901E+02  3.0358139E+02  3.3651062E+02  3.3866548E+02  4.0969163E+02  4.0991147E+02  1.0034451E+04  4.0991146E+02  4.0969164E+02  3.3866548E+02  3.3651062E+02  3.0358139E+02  1.1136901E+02  9.7538818E+00
  1.2787634E+02  3.1904564E+02  3.5181294E+02  3.5397803E+02  4.2431195E+02  4.2453718E+02  1.0530891E+04  4.2453717E+02  4.2431195E+02  3.5397802E+02  3.5181294E+02  3.1904564E+02  1.2787634E+02  1.0004639E+01
  1.4471949E+02  3.3493350E+02  3.6746755E+02  3.6964263E+02  4.3927479E+02  4.3950540E+02  1.1040477E+04  4.3950539E+02  4.3927480E+02  3.6964263E+02  3.6746755E+02  3.3493350E+02  1.4471949E+02  1.0256578E+01
  1.6189947E+02  3.5123532E+02  3.8347435E+02  3.8565923E+02  4.5458043E+02  4.5481639E+02  1.1563172E+04  4.5481638E+02  4.5458043E+02  3.8565923E+02  3.8347435E+02  3.5123532E+02  1.6189947E+02  1.0509711E+01
  1.7941709E+02  3.6789551E+02  3.9983315E+02  4.0202764E+02  4.7022832E+02  4.7046962E+02  1.2098936E+04  4.7046962E+02  4.7022833E+02  4.0202763E+02  3.9983315E+02  3.6789551E+02  1.7941709E+02  1.0764050E+01
  1.9727305E+02  3.8491391E+02  4.1654371E+02  4.1874763E+02  4.8624072E+02  4.8648804E+02  1.2647724E+04  4.8648804E+02  4.8624073E+02  4.1874762E+02  4.1654371E+02  3.8491391E+02  1.9727305E+02  1.1019608E+01
  2.1546784E+02  4.0229020E+02  4.3362675E+02  4.3583124E+02  5.0267219E+02  5.0292481E+02  1.3209483E+04  5.0292481E+02  5.0267220E+02  4.3583123E+02  4.3362675E+02  4.0229020E+02  2.1546784E+02  1.1276397E+01
  2.3400183E+02  4.2002398E+02  4.5113953E+02  4.5335309E+02  5.1944857E+02  5.1970648E+02  1.3784160E+04  5.1970648E+02  5.1944858E+02  4.5335309E+02  4.5113953E+02  4.2002398E+02  2.3400183E+02  1.1534431E+01
  2.5287526E+02  4.3811476E+02  4.6910988E+02  4.7133235E+02  5.3656914E+02  5.3683233E+02  1.4371693E+04  5.3683233E+02  5.3656915E+02  4.7133234E+02  4.6910988E+02  4.3811476E+02  2.5287526E+02  1.1793724E+01
  2.7208821E+02  4.5656193E+02  4.8743916E+02  4.8967040E+02  5.5403316E+02  5.5430160E+02  1.4972019E+04  5.5430159E+02  5.5403317E+02  4.8967040E+02  4.8743916E+02  4.5656193E+02  2.7208821E+02  1.2054287E+01
  2.9164067E+02  4.7536485E+02  5.0612665E+02  5.0836651E+02  5.7183946E+02  5.7211314E+02  1.5585071E+04  5.7211313E+02  5.7183947E+02  5.0836651E+02  5.0612665E+02  4.7536485E+02  2.9164067E+02  1.2316135E+01
  3.1153249E+02  4.9452275E+02  5.2517147E+02  5.2741984E+02  5.9027804E+02  5.9059108E+02  1.6210777E+04  5.9059107E+02  5.9027806E+02  5.2741983E+02  5.2517147E+02  4.9452275E+02  3.1153249E+02  1.2579283E+01
  3.3176348E+02  5.1403487E+02  5.4457278E+02  5.4682952E+02  6.0926566E+02  6.0957199E+02  1.6849066E+04  6.0957199E+02  6.0926568E+02  5.4682952E+02  5.4457278E+02  5.1403487E+02  3.3176348E+02  1.2843745E+01
  3.5233325E+02  5.3390028E+02  5.6432958E+02  5.6659459E+02  6.2861603E+02  6.2892778E+02  1.7499861E+04  6.2892778E+02  6.2861604E+02  5.6659458E+02  5.6432958E+02  5.3390028E+02  3.5233325E+02  1.3109533E+01
  3.7324139E+02  5.5411804E+02  5.8444084E+02  5.8671400E+02  6.4832197E+02  6.4863912E+02  1.8163082E+04  6.4863912E+02  6.4832198E+02  5.8671399E+02  5.8444084E+02  5.5411804E+02  3.7324139E+02  1.3376664E+01
  3.9448738E+02  5.7468715E+02  6.0490548E+02  6.0718669E+02  6.6838224E+02  6.6870478E+02  1.8838648E+04  6.6870477E+02  6.6838226E+02  6.0718669E+02  6.0490548E+02  5.7468715E+02  3.9448738E+02  1.3645153E+01
  0.0000000E+00  2.5000000E-09  2.9000051E-09  9.6275421E+00  1.3022048E+02  1.3022048E+02  3.0196357E+02  1.3022048E+02  1.3022048E+02  9.6275410E+00  2.9000051E-09  2.5000000E-09  0.0000000E+00  1.5331267E+00
  0.0000000E+00  2.5000010E-09  4.9558125E+00  1.3632421E+01  1.3005369E+02  1.3006689E+02  4.0693892E+02  1.3006689E+02  1.3005369E+02  1.3632419E+01  4.9558125E+00  2.5000009E-09  0.0000000E+00  1.7180375E+00
  0.0000000E+00  4.1000008E-09  1.0208711E+01  1.8335682E+01  1.3056355E+02  1.3058945E+02  5.2139365E+02  1.3058944E+02  1.3056355E+02  1.8335680E+01  1.0208711E+01  3.7000009E-09  0.0000000E+00  1.9043380E+00
  0.0000000E+00  3.6000010E-09  1.5724710E+01  2.3388730E+01  1.3177147E+02  1.3180959E+02  6.4545722E+02  1.3180959E+02  1.3177147E+02  2.3388728E+01  1.5724710E+01  3.9000006E-09  0.0000000E+00  2.0912424E+00
  0.0000000E+00  2.3000017E-09  2.1482438E+01  2.8730832E+01  1.3359787E+02  1.3364735E+02  7.7761011E+02  1.3364734E+02  1.3359787E+02  2.8730830E+01  2.1482438E+01  2.9000023E-09  0.0000000E+00  2.2787553E+00
  0.0000000E+00  3.6000027E-09  2.7473910E+01  3.4304412E+01  1.3595576E+02  1.3601670E+02  9.1712354E+02  1.3601669E+02  1.3595576E+02  3.4304410E+01  2.7473910E+01  4.0000035E-09  0.0000000E+00  2.4668811E+00
  0.0000000E+00  2.3000017E-09  3.3686605E+01  4.0172621E+01  1.3878409E+02  1.3885605E+02  1.0643415E+03  1.3885605E+02  1.3878409E+02  4.0172618E+01  3.3686605E+01  2.0000017E-09  0.0000000E+00  2.6556240E+00
  0.0000000E+00  1.9511248E+00  3.9960334E+01  4.6135176E+01  1.4186554E+02  1.4194844E+02  1.2161521E+03  1.4194844E+02  1.4186554E+02  4.6135173E+01  3.9960334E+01  1.9511248E+00  0.0000000E+00  2.8449632E+00
  0.0000000E+00  8.5471192E+00  4.6100061E+01  5.1981620E+01  1.4500260E+02  1.4509626E+02  1.3690501E+03  1.4509626E+02  1.4500260E+02  5.1981617E+01  4.6100061E+01  8.5471192E+00  0.0000000E+00  3.0348876E+00
  0.0000000E+00  1.5361205E+01  5.2473238E+01  5.8072357E+01  1.4852184E+02  1.4862596E+02  1.5298665E+03  1.4862596E+02  1.4852185E+02  5.8072354E+01  5.2473238E+01  1.5361205E+01  0.0000000E+00  3.2254739E+00
  0.0000000E+00  2.2397403E+01  5.9089787E+01  6.4466764E+01  1.5238819E+02  1.5250268E+02  1.6984146E+03  1.5250268E+02  1.5238819E+02  6.4466761E+01  5.9089787E+01  2.2397403E+01  0.0000000E+00  3.4167271E+00
  0.0000000E+00  2.9661036E+01  6.5966207E+01  7.1091156E+01  1.5657656E+02  1.5670126E+02  1.8764091E+03  1.5670126E+02  1.5657656E+02  7.1091153E+01  6.5966207E+01  2.9661036E+01  0.0000000E+00  3.6086525E+00
  0.0000000E+00  3.7150373E+01  7.3090498E+01  7.7953076E+01  1.6133733E+02  1.6145759E+02  2.0632144E+03  1.6145759E+02  1.6133734E+02  7.7953073E+01  7.3090498E+01  3.7150373E+01  0.0000000E+00  3.8012551E+00
  0.0000000E+00  4.4867210E+01  8.0457173E+01  8.5068239E+01  1.6706443E+02  1.6719358E+02  2.2589010E+03  1.6719358E+02  1.6706444E+02  8.5068236E+01  8.0457173E+01  4.4867210E+01  0.0000000E+00  3.9945403E+00
  0.0000000E+00  5.2822104E+01  8.8092631E+01  9.2487056E+01  1.7311669E+02  1.7325191E+02  2.4633516E+03  1.7325191E+02  1.7311670E+02  9.2487053E+01  8.8092631E+01  5.2822104E+01  0.0000000E+00  4.1885132E+00
  0.0000000E+00  6.1038200E+01  9.5972530E+01  1.0014255E+02  1.7963319E+02  1.7977695E+02  2.6765640E+03  1.7977694E+02  1.7963319E+02  1.0014255E+02  9.5972530E+01  6.1038200E+01  0.0000000E+00  4.3831793E+00
  0.0000000E+00  6.9529583E+01  1.0409678E+02  1.0803140E+02  1.8645672E+02  1.8660892E+02  2.9000796E+03  1.8660891E+02  1.8645673E+02  1.0803140E+02  1.0409678E+02  6.9529583E+01  0.0000000E+00  4.5785436E+00
  0.0000000E+00  7.8271429E+01  1.1246551E+02  1.1615357E+02  1.9358994E+02  1.9375045E+02  3.1368351E+03  1.9375044E+02  1.9358994E+02  1.1615357E+02  1.1246551E+02  7.8271429E+01  0.0000000E+00  4.7746126E+00
  0.0000000E+00  8.7264993E+01  1.2109474E+02  1.2450893E+02  2.0101513E+02  2.0118388E+02  3.3838620E+03  2.0118387E+02  2.0101513E+02  1.2450893E+02  1.2109474E+02  8.7264993E+01  0.0000000E+00  4.9713914E+00
  0.0000000E+00  9.6511396E+01  1.3003343E+02  1.3314811E+02  2.0877124E+02  2.0894781E+02  3.6408703E+03  2.0894781E+02  2.0877124E+02  1.3314811E+02  1.3003343E+02  9.6511396E+01  0.0000000E+00  5.1688855E+00
  0.0000000E+00  1.0601170E+02  1.3928213E+02  1.4218335E+02  2.1685903E+02  2.1704367E+02  3.9079388E+03  2.1704366E+02  2.1685903E+02  1.4218334E+02  1.3928213E+02  1.0601170E+02  0.0000000E+00  5.3671008E+00
  0.0000000E+00  1.1576677E+02  1.4881357E+02  1.5151509E+02  2.2523786E+02  2.2543049E+02  4.1851298E+03  2.2543048E+02  2.2523787E+02  1.5151508E+02  1.4881357E+02  1.1576677E+02  0.0000000E+00  5.5660428E+00
  0.0000000E+00  1.2577732E+02  1.5860892E+02  1.6111729E+02  2.3390573E+02  2.3410628E+02  4.4724941E+03  2.3410627E+02  2.3390573E+02  1.6111729E+02  1.5860892E+02  1.2577732E+02  0.0000000E+00  5.7657176E+00
  0.0000000E+00  1.3604629E+02  1.6866825E+02  1.7097766E+02  2.4286089E+02  2.4306931E+02  4.7704310E+03  2.4306930E+02  2.4286090E+02  1.7097765E+02  1.6866825E+02  1.3604629E+02  0.0000000E+00  5.9661331E+00
  0.0000000E+00  1.4667303E+02  1.7899141E+02  1.8115110E+02  2.5210125E+02  2.5231746E+02  5.0864509E+03  2.5231745E+02  2.5210125E+02  1.8115109E+02  1.7899141E+02  1.4667303E+02  0.0000000E+00  6.1672911E+00
  0.0000000E+00  1.5765161E+02  1.8957841E+02  1.9174849E+02  2.6162529E+02  2.6184926E+02  5.4172492E+03  2.6184925E+02  2.6162530E+02  1.9174848E+02  1.8957841E+02  1.5765161E+02  0.0000000E+00  6.3691999E+00
  1.0002197E-10  1.6895991E+02  2.0042901E+02  2.0263524E+02  2.7143139E+02  2.7166304E+02  5.7591484E+03  2.7166303E+02  2.7143139E+02  2.0263523E+02  2.0042901E+02  1.6895991E+02  1.0002197E-10  6.5718655E+00
  4.4752650E+00  1.8038000E+02  2.1143735E+02  2.1374032E+02  2.8135931E+02  2.8160508E+02  6.1065541E+03  2.8160508E+02  2.8135931E+02  2.1374031E+02  2.1143735E+02  1.8038000E+02  4.4752650E+00  6.7749722E+00
  1.6948487E+01  1.9179664E+02  2.2252926E+02  2.2484170E+02  2.9131047E+02  2.9156380E+02  6.4560996E+03  2.9156379E+02  2.9131048E+02  2.2484170E+02  2.2252926E+02  1.9179664E+02  1.6948487E+01  6.9783438E+00
  2.9701388E+01  2.0351222E+02  2.3391223E+02  2.3623390E+02  3.0155354E+02  3.0181439E+02  6.8188215E+03  3.0181439E+02  3.0155355E+02  2.3623389E+02  2.3391223E+02  2.0351222E+02  2.9701388E+01  7.1826366E+00
  4.2736098E+01  2.1552749E+02  2.4558688E+02  2.4791752E+02  3.1228698E+02  3.1246789E+02  7.1939860E+03  3.1246788E+02  3.1228699E+02  2.4791752E+02  2.4558688E+02  2.1552749E+02  4.2736098E+01  7.3878601E+00
  5.6054506E+01  2.2784308E+02  2.5755371E+02  2.5991585E+02  3.2385455E+02  3.2404052E+02  7.5819002E+03  3.2404052E+02  3.2385456E+02  2.5991584E+02  2.5755371E+02  2.2784308E+02  5.6054506E+01  7.5940239E+00
  6.9658269E+01  2.4049208E+02  2.7002135E+02  2.7239792E+02  3.3572016E+02  3.3591118E+02  7.9812564E+03  3.3591118E+02  3.3572017E+02  2.7239792E+02  2.7002135E+02  2.4049208E+02  6.9658269E+01  7.8011370E+00
  8.3548836E+01  2.5350722E+02  2.8279973E+02  2.8518466E+02  3.4788362E+02  3.4807967E+02  8.3920371E+03  3.4807967E+02  3.4788363E+02  2.8518466E+02  2.8279973E+02  2.5350722E+02  8.3548836E+01  8.0092093E+00
  9.7727442E+01  2.6684961E+02  2.9588301E+02  2.9827612E+02  3.6034464E+02  3.6054570E+02  8.8142177E+03  3.6054569E+02  3.6034465E+02  2.9827612E+02  2.9588301E+02  2.6684961E+02  9.7727442E+01  8.2182505E+00
  1.1219515E+02  2.8050207E+02  3.0927119E+02  3.1167231E+02  3.7310290E+02  3.7330895E+02  9.2477699E+03  3.7330894E+02  3.7310290E+02  3.1167230E+02  3.0927119E+02  2.8050207E+02  1.1219515E+02  8.4282706E+00
  1.2695285E+02  2.9446456E+02  3.2296413E+02  3.2537309E+02  3.8621983E+02  3.8643148E+02  9.6926577E+03  3.8643147E+02  3.8621985E+02  3.2537308E+02  3.2296413E+02  2.9446456E+02  1.2695285E+02  8.6392795E+00
  1.4200125E+02  3.0873691E+02  3.3699754E+02  3.3940604E+02  3.9965362E+02  3.9987024E+02  1.0148840E+04  3.9987023E+02  3.9965364E+02  3.3940603E+02  3.3699754E+02  3.0873691E+02  1.4200125E+02  8.8512876E+00
  1.5734091E+02  3.2331886E+02  3.5140413E+02  3.5382013E+02  4.1338729E+02  4.1360886E+02  1.0616272E+04  4.1360885E+02  4.1338731E+02  3.5382013E+02  3.5140413E+02  3.2331886E+02  1.5734091E+02  9.0643053E+00
  1.7297225E+02  3.3821005E+02  3.6617994E+02  3.6860332E+02  4.2742018E+02  4.2764668E+02  1.1094903E+04  4.2764668E+02  4.2742020E+02  3.6860332E+02  3.6617994E+02  3.3821005E+02  1.7297225E+02  9.2783433E+00
  1.8889555E+02  3.5341007E+02  3.8126713E+02  3.8369777E+02  4.4175157E+02  4.4198299E+02  1.1584680E+04  4.4198299E+02  4.4175159E+02  3.8369776E+02  3.8126713E+02  3.5341007E+02  1.8889555E+02  9.4934120E+00
  2.0511095E+02  3.6891834E+02  3.9666506E+02  3.9910282E+02  4.5638065E+02  4.5661697E+02  1.2085543E+04  4.5661697E+02  4.5638066E+02  3.9910282E+02  3.9666506E+02  3.6891834E+02  2.0511095E+02  9.7095227E+00
  2.2161852E+02  3.8473432E+02  4.1237307E+02  4.1481784E+02  4.7130661E+02  4.7154782E+02  1.2597432E+04  4.7154781E+02  4.7130662E+02  4.1481783E+02  4.1237307E+02  3.8473432E+02  2.2161852E+02  9.9266864E+00
  2.3841816E+02  4.0085730E+02  4.2839036E+02  4.3084204E+02  4.8652855E+02  4.8677463E+02  1.3120283E+04  4.8677463E+02  4.8652857E+02  4.3084204E+02  4.2839036E+02  4.0085730E+02  2.3841816E+02  1.0144914E+01
  2.5550968E+02  4.1728652E+02  4.4471609E+02  4.4717457E+02  5.0212625E+02  5.0236673E+02  1.3654028E+04  5.0236673E+02  5.0212627E+02  4.4717456E+02  4.4471609E+02  4.1728652E+02  2.5550968E+02  1.0364218E+01
  2.7289283E+02  4.3402118E+02  4.6134938E+02  4.6381455E+02  5.1806742E+02  5.1831254E+02  1.4198596E+04  5.1831253E+02  5.1806744E+02  4.6381454E+02  4.6134938E+02  4.3402118E+02  2.7289283E+02  1.0584609E+01
  2.9056721E+02  4.5106038E+02  4.7828924E+02  4.8076102E+02  5.3430481E+02  5.3455455E+02  1.4753914E+04  5.3455455E+02  5.3430483E+02  4.8076101E+02  4.7828924E+02  4.5106038E+02  2.9056721E+02  1.0806099E+01
  3.0853238E+02  4.6840319E+02  4.9553468E+02  4.9801297E+02  5.5083734E+02  5.5110325E+02  1.5319909E+04  5.5110324E+02  5.5083736E+02  4.9801297E+02  4.9553468E+02  4.6840319E+02  3.0853238E+02  1.1028701E+01
  3.2678778E+02  4.8604860E+02  5.1308462E+02  5.1556934E+02  5.6801372E+02  5.6829240E+02  1.5896503E+04  5.6829240E+02  5.6801374E+02  5.1556933E+02  5.1308462E+02  4.8604860E+02  3.2678778E+02  1.1252426E+01
  3.4533282E+02  5.0399558E+02  5.3093795E+02  5.3342903E+02  5.8550279E+02  5.8578608E+02  1.6483617E+04  5.8578608E+02  5.8550280E+02  5.3342902E+02  5.3093795E+02  5.0399558E+02  3.4533282E+02  1.1477287E+01
  0.0000000E+00  2.6000000E-09  3.0000044E-09  8.8553687E+00  1.1047583E+02  1.1047583E+02  2.7423619E+02  1.1047582E+02  1.1047583E+02  8.8553674E+00  3.0000044E-09  2.9000000E-09  0.0000000E+00  1.3129933E+00
  0.0000000E+00  2.6000010E-09  4.3535822E+00  1.2342372E+01  1.0951987E+02  1.0953132E+02  3.6429586E+02  1.0953132E+02  1.0951987E+02  1.2342370E+01  4.3535822E+00  2.9000006E-09  0.0000000E+00  1.4567837E+00
  0.0000000E+00  3.3000007E-09  8.9396503E+00  1.6434708E+01  1.0997229E+02  1.0999475E+02  4.6366682E+02  1.0999474E+02  1.0997229E+02  1.6434706E+01  8.9396503E+00  4.1000005E-09  0.0000000E+00  1.6115203E+00
  0.0000000E+00  3.1000009E-09  1.3734816E+01  2.0807995E+01  1.1098693E+02  1.1101994E+02  5.7038254E+02  1.1101993E+02  1.1098693E+02  2.0807993E+01  1.3734816E+01  4.3000031E-09  0.0000000E+00  1.7667604E+00
  0.0000000E+00  2.0000012E-09  1.8724588E+01  2.5435049E+01  1.1253202E+02  1.1257484E+02  6.8392537E+02  1.1257484E+02  1.1253203E+02  2.5435046E+01  1.8724588E+01  2.4000009E-09  0.0000000E+00  1.9225076E+00
  0.0000000E+00  5.0000047E-09  2.3902308E+01  3.0245611E+01  1.1457261E+02  1.1462520E+02  8.0329555E+02  1.1462519E+02  1.1457261E+02  3.0245608E+01  2.3902308E+01  2.8000032E-09  0.0000000E+00  2.0787657E+00
  0.0000000E+00  2.7000027E-09  2.9258561E+01  3.5317923E+01  1.1700597E+02  1.1706816E+02  9.2903243E+02  1.1706816E+02  1.1700597E+02  3.5317920E+01  2.9258561E+01  2.0000034E-09  0.0000000E+00  2.2355384E+00
  0.0000000E+00  1.6821137E+00  3.4653893E+01  4.0435921E+01  1.1965081E+02  1.1972242E+02  1.0584567E+03  1.1972241E+02  1.1965081E+02  4.0435918E+01  3.4653893E+01  1.6821137E+00  0.0000000E+00  2.3928078E+00
  0.0000000E+00  7.3637787E+00  3.9929174E+01  4.5458485E+01  1.2234176E+02  1.2242261E+02  1.1887937E+03  1.2242261E+02  1.2234176E+02  4.5458481E+01  3.9929174E+01  7.3637787E+00  0.0000000E+00  2.5505646E+00
  0.0000000E+00  1.3229413E+01  4.5406199E+01  5.0690897E+01  1.2536792E+02  1.2545776E+02  1.3256443E+03  1.2545775E+02  1.2536793E+02  5.0690893E+01  4.5406199E+01  1.3229413E+01  0.0000000E+00  2.7088731E+00
  0.0000000E+00  1.9280039E+01  5.1097473E+01  5.6174912E+01  1.2868860E+02  1.2878734E+02  1.4694328E+03  1.2878733E+02  1.2868860E+02  5.6174908E+01  5.1097473E+01  1.9280039E+01  0.0000000E+00  2.8677376E+00
  0.0000000E+00  2.5517295E+01  5.7008268E+01  6.1849827E+01  1.3245764E+02  1.3255413E+02  1.6212970E+03  1.3255412E+02  1.3245765E+02  6.1849824E+01  5.7008268E+01  2.5517295E+01  0.0000000E+00  3.0271624E+00
  0.0000000E+00  3.1943571E+01  6.3122134E+01  6.7734775E+01  1.3710543E+02  1.3720968E+02  1.7803682E+03  1.3720968E+02  1.3710543E+02  6.7734771E+01  6.3122134E+01  3.1943571E+01  0.0000000E+00  3.1871517E+00
  0.0000000E+00  3.8567018E+01  6.9451532E+01  7.3838802E+01  1.4201067E+02  1.4212259E+02  1.9469390E+03  1.4212258E+02  1.4201068E+02  7.3838797E+01  6.9451532E+01  3.8567018E+01  0.0000000E+00  3.3477100E+00
  0.0000000E+00  4.5411318E+01  7.5987533E+01  8.0185977E+01  1.4722055E+02  1.4733767E+02  2.1211382E+03  1.4733766E+02  1.4722055E+02  8.0185973E+01  7.5987533E+01  4.5411318E+01  0.0000000E+00  3.5088417E+00
  0.0000000E+00  5.2479230E+01  8.2729378E+01  8.6729621E+01  1.5281157E+02  1.5293605E+02  2.3036951E+03  1.5293604E+02  1.5281157E+02  8.6729617E+01  8.2729378E+01  5.2479230E+01  0.0000000E+00  3.6705512E+00
  0.0000000E+00  5.9760179E+01  8.9677257E+01  9.3469769E+01  1.5866987E+02  1.5880159E+02  2.4962833E+03  1.5880158E+02  1.5866987E+02  9.3469765E+01  8.9677257E+01  5.9760179E+01  0.0000000E+00  3.8328429E+00
  0.0000000E+00  6.7253111E+01  9.6843831E+01  1.0040651E+02  1.6477960E+02  1.6491849E+02  2.6986955E+03  1.6491848E+02  1.6477961E+02  1.0040650E+02  9.6843831E+01  6.7253111E+01  0.0000000E+00  3.9957222E+00
  0.0000000E+00  7.4959302E+01  1.0427614E+02  1.0758152E+02  1.7114721E+02  1.7129296E+02  2.9095744E+03  1.7129296E+02  1.7114722E+02  1.0758151E+02  1.0427614E+02  7.4959302E+01  0.0000000E+00  4.1591932E+00
  0.0000000E+00  8.2879810E+01  1.1195847E+02  1.1505510E+02  1.7778623E+02  1.7793881E+02  3.1289953E+03  1.7793880E+02  1.7778624E+02  1.1505510E+02  1.1195847E+02  8.2879810E+01  0.0000000E+00  4.3232606E+00
  0.0000000E+00  9.1019800E+01  1.1988771E+02  1.2281031E+02  1.8471570E+02  1.8487520E+02  3.3570208E+03  1.8487519E+02  1.8471570E+02  1.2281031E+02  1.1988771E+02  9.1019800E+01  0.0000000E+00  4.4879294E+00
  0.0000000E+00  9.9447289E+01  1.2804395E+02  1.3080439E+02  1.9189321E+02  1.9205958E+02  3.5936997E+03  1.9205957E+02  1.9189322E+02  1.3080438E+02  1.2804395E+02  9.9447289E+01  0.0000000E+00  4.6532043E+00
  0.0000000E+00  1.0812980E+02  1.3642425E+02  1.3901753E+02  1.9931705E+02  1.9949022E+02  3.8429329E+03  1.9949021E+02  1.9931705E+02  1.3901752E+02  1.3642425E+02  1.0812980E+02  0.0000000E+00  4.8190901E+00
  0.0000000E+00  1.1711887E+02  1.4502863E+02  1.4749287E+02  2.0698560E+02  2.0716552E+02  4.1074163E+03  2.0716551E+02  2.0698561E+02  1.4749286E+02  1.4502863E+02  1.1711887E+02  0.0000000E+00  4.9855938E+00
  0.0000000E+00  1.2634697E+02  1.5390334E+02  1.5641002E+02  2.1489702E+02  2.1508363E+02  4.3813510E+03  2.1508362E+02  2.1489703E+02  1.5641001E+02  1.5390334E+02  1.2634697E+02  0.0000000E+00  5.1527166E+00
  0.0000000E+00  1.3581415E+02  1.6307725E+02  1.6559170E+02  2.2307799E+02  2.2324312E+02  4.6647398E+03  2.2324311E+02  2.2307800E+02  1.6559170E+02  1.6307725E+02  1.3581415E+02  0.0000000E+00  5.3204654E+00
  1.0001890E-10  1.4552027E+02  1.7248483E+02  1.7500679E+02  2.3208146E+02  2.3222022E+02  4.9586584E+03  2.3222021E+02  2.3208148E+02  1.7500678E+02  1.7248483E+02  1.4552027E+02  1.0001890E-10  5.4888456E+00
  3.8498175E+00  1.5532145E+02  1.8198662E+02  1.8451758E+02  2.4118661E+02  2.4133574E+02  5.2583487E+03  2.4133574E+02  2.4118662E+02  1.8451758E+02  1.8198662E+02  1.5532145E+02  3.8498175E+00  5.6575930E+00
  1.4577255E+01  1.6513454E+02  1.9148796E+02  1.9402619E+02  2.5030670E+02  2.5046052E+02  5.5610479E+03  2.5046052E+02  2.5030671E+02  1.9402619E+02  1.9148796E+02  1.6513454E+02  1.4577255E+01  5.8265606E+00
  2.5541402E+01  1.7525250E+02  2.0135579E+02  2.0392815E+02  2.5968012E+02  2.5983861E+02  5.8735958E+03  2.5983860E+02  2.5968013E+02  2.0392814E+02  2.0135579E+02  1.7525250E+02  2.5541402E+01  5.9962962E+00
  3.6743940E+01  1.8564886E+02  2.1153004E+02  2.1410928E+02  2.6930677E+02  2.6946991E+02  6.1958455E+03  2.6946990E+02  2.6930678E+02  2.1410927E+02  2.1153004E+02  1.8564886E+02  3.6743940E+01  6.1668078E+00
  4.8186331E+01  1.9630707E+02  2.2196226E+02  2.2454820E+02  2.7918644E+02  2.7935422E+02  6.5277831E+03  2.7935421E+02  2.7918645E+02  2.2454819E+02  2.2196226E+02  1.9630707E+02  4.8186331E+01  6.3381033E+00
  5.9869855E+01  2.0722737E+02  2.3265257E+02  2.3524506E+02  2.8936730E+02  2.8954020E+02  6.8693906E+03  2.8954020E+02  2.8936732E+02  2.3524505E+02  2.3265257E+02  2.0722737E+02  5.9869855E+01  6.5101905E+00
  7.1795585E+01  2.1840984E+02  2.4360281E+02  2.4619983E+02  2.9981454E+02  2.9999205E+02  7.2206417E+03  2.9999204E+02  2.9981455E+02  2.4619982E+02  2.4360281E+02  2.1840984E+02  7.1795585E+01  6.6830775E+00
  8.3964424E+01  2.2985446E+02  2.5486611E+02  2.5746355E+02  3.1051744E+02  3.1069956E+02  7.5815054E+03  3.1069955E+02  3.1051746E+02  2.5746354E+02  2.5486611E+02  2.2985446E+02  8.3964424E+01  6.8567725E+00
  9.6377105E+01  2.4156108E+02  2.6645871E+02  2.6906220E+02  3.2147551E+02  3.2166221E+02  7.9519457E+03  3.2166220E+02  3.2147553E+02  2.6906219E+02  2.6645871E+02  2.4156108E+02  9.6377105E+01  7.0312835E+00
  1.0903423E+02  2.5352951E+02  2.7831809E+02  2.8092756E+02  3.3268819E+02  3.3287946E+02  8.3319219E+03  3.3287945E+02  3.3268821E+02  2.8092755E+02  2.7831809E+02  2.5352951E+02  1.0903423E+02  7.2066195E+00
  1.2193621E+02  2.6575939E+02  2.9044152E+02  2.9305683E+02  3.4415483E+02  3.4435065E+02  8.7213880E+03  3.4435065E+02  3.4415485E+02  2.9305683E+02  2.9044152E+02  2.6575939E+02  1.2193621E+02  7.3827888E+00
  1.3508339E+02  2.7825038E+02  3.0282851E+02  3.0544956E+02  3.5587478E+02  3.5607514E+02  9.1202967E+03  3.5607514E+02  3.5587480E+02  3.0544955E+02  3.0282851E+02  2.7825038E+02  1.3508339E+02  7.5598001E+00
  1.4847593E+02  2.9100197E+02  3.1547847E+02  3.1810514E+02  3.6784728E+02  3.6805216E+02  9.5285941E+03  3.6805216E+02  3.6784729E+02  3.1810513E+02  3.1547847E+02  2.9100197E+02  1.4847593E+02  7.7376624E+00
  1.6211391E+02  3.0401360E+02  3.2839073E+02  3.3102293E+02  3.8007152E+02  3.8028092E+02  9.9462246E+03  3.8028092E+02  3.8007154E+02  3.3102292E+02  3.2839073E+02  3.0401360E+02  1.6211391E+02  7.9163844E+00
  1.7599729E+02  3.1728464E+02  3.4156458E+02  3.4420221E+02  3.9254667E+02  3.9276058E+02  1.0373129E+04  3.9276057E+02  3.9254669E+02  3.4420220E+02  3.4156458E+02  3.1728464E+02  1.7599729E+02  8.0959757E+00
  1.9012594E+02  3.3081441E+02  3.5499926E+02  3.5764222E+02  4.0533219E+02  4.0554202E+02  1.0809245E+04  4.0554202E+02  4.0533222E+02  3.5764221E+02  3.5499926E+02  3.3081441E+02  1.9012594E+02  8.2764453E+00
  2.0449960E+02  3.4460213E+02  3.6869389E+02  3.7134210E+02  4.1841602E+02  4.1863015E+02  1.1254509E+04  4.1863015E+02  4.1841604E+02  3.7134209E+02  3.6869389E+02  3.4460213E+02  2.0449960E+02  8.4578027E+00
  2.1911794E+02  3.5864697E+02  3.8264758E+02  3.8530096E+02  4.3175068E+02  4.3196910E+02  1.1708854E+04  4.3196910E+02  4.3175070E+02  3.8530095E+02  3.8264758E+02  3.5864697E+02  2.1911794E+02  8.6400572E+00
  2.3398056E+02  3.7294806E+02  3.9685938E+02  3.9951786E+02  4.4533512E+02  4.4555784E+02  1.2172210E+04  4.4555784E+02  4.4533515E+02  3.9951785E+02  3.9685938E+02  3.7294806E+02  2.3398056E+02  8.8232193E+00
  2.4908700E+02  3.8750450E+02  4.1132833E+02  4.1399182E+02  4.5916833E+02  4.5939532E+02  1.2644508E+04  4.5939532E+02  4.5916835E+02  4.1399182E+02  4.1132833E+02  3.8750450E+02  2.4908700E+02  9.0072986E+00
  2.6443668E+02  4.0231530E+02  4.2605337E+02  4.2872182E+02  4.7324918E+02  4.7348044E+02  1.3125676E+04  4.7348043E+02  4.7324921E+02  4.2872181E+02  4.2605337E+02  4.0231530E+02  2.6443668E+02  9.1923046E+00
  2.8002896E+02  4.1737942E+02  4.4103339E+02  4.4370673E+02  4.8757651E+02  4.8781202E+02  1.3615639E+04  4.8781202E+02  4.8757654E+02  4.4370672E+02  4.4103339E+02  4.1737942E+02  2.8002896E+02  9.3782485E+00
  2.9586319E+02  4.3269583E+02  4.5626731E+02  4.5894548E+02  5.0214919E+02  5.0238895E+02  1.4114323E+04  5.0238894E+02  5.0214922E+02  4.5894547E+02  4.5626731E+02  4.3269583E+02  2.9586319E+02  9.5651400E+00
  0.0000000E+00  2.0000000E-09  2.9000040E-09  8.1463609E+00  9.3161690E+01  9.3161690E+01  2.4825784E+02  9.3161686E+01  9.3161692E+01  8.1463593E+00  2.9000040E-09  2.8000000E-09  0.0000000E+00  1.1244750E+00
  0.0000000E+00  2.0000009E-09  3.8696443E+00  1.1287070E+01  9.3305787E+01  9.3315756E+01  3.2930067E+02  9.3315752E+01  9.3305790E+01  1.1287067E+01  3.8696443E+00  2.8000008E-09  0.0000000E+00  1.2566785E+00
  0.0000000E+00  3.2000010E-09  7.9228202E+00  1.4889294E+01  9.3729444E+01  9.3748976E+01  4.1663315E+02  9.3748972E+01  9.3729448E+01  1.4889291E+01  7.9228202E+00  3.4000017E-09  0.0000000E+00  1.3881079E+00
  0.0000000E+00  3.5000026E-09  1.2146603E+01  1.8721576E+01  9.4613338E+01  9.4642041E+01  5.0959766E+02  9.4642038E+01  9.4613340E+01  1.8721573E+01  1.2146603E+01  3.3000021E-09  0.0000000E+00  1.5199645E+00
  0.0000000E+00  1.9000006E-09  1.6527550E+01  2.2781769E+01  9.5952206E+01  9.5989439E+01  6.0840884E+02  9.5989434E+01  9.5952208E+01  2.2781766E+01  1.6527550E+01  2.2000008E-09  0.0000000E+00  1.6522515E+00
  0.0000000E+00  4.2000026E-09  2.1061762E+01  2.7026773E+01  9.7763237E+01  9.7808936E+01  7.1204830E+02  9.7808930E+01  9.7763240E+01  2.7026769E+01  2.1061762E+01  3.9000025E-09  0.0000000E+00  1.7849720E+00
  0.0000000E+00  2.6000022E-09  2.5742013E+01  3.1457133E+01  9.9897372E+01  9.9951397E+01  8.2079701E+02  9.9951392E+01  9.9897376E+01  3.1457129E+01  2.5742013E+01  3.0000023E-09  0.0000000E+00  1.9181291E+00
  0.0000000E+00  1.4705556E+00  3.0450011E+01  3.5915216E+01  1.0221358E+02  1.0227577E+02  9.3278636E+02  1.0227577E+02  1.0221359E+02  3.5915212E+01  3.0450011E+01  1.4705556E+00  0.0000000E+00  2.0517076E+00
  0.0000000E+00  6.4347899E+00  3.5051760E+01  4.0286537E+01  1.0456786E+02  1.0463806E+02  1.0455029E+03  1.0463805E+02  1.0456787E+02  4.0286533E+01  3.5051760E+01  6.4347899E+00  0.0000000E+00  2.1856991E+00
  0.0000000E+00  1.1553198E+01  3.9837922E+01  4.4846755E+01  1.0722019E+02  1.0729815E+02  1.1635831E+03  1.0729814E+02  1.0722019E+02  4.4846751E+01  3.9837922E+01  1.1553198E+01  0.0000000E+00  2.3201588E+00
  0.0000000E+00  1.6827783E+01  4.4807259E+01  4.9615336E+01  1.1016695E+02  1.1024422E+02  1.2884508E+03  1.1024422E+02  1.1016695E+02  4.9615331E+01  4.4807259E+01  1.6827783E+01  0.0000000E+00  2.4550902E+00
  0.0000000E+00  2.2260797E+01  4.9949540E+01  5.4557213E+01  1.1398964E+02  1.1407377E+02  1.4195903E+03  1.1407377E+02  1.1398964E+02  5.4557209E+01  4.9949540E+01  2.2260797E+01  0.0000000E+00  2.5904971E+00
  0.0000000E+00  2.7859706E+01  5.5273114E+01  5.9669137E+01  1.1803922E+02  1.1813011E+02  1.5572083E+03  1.1813010E+02  1.1803922E+02  5.9669133E+01  5.5273114E+01  2.7859706E+01  0.0000000E+00  2.7263829E+00
  0.0000000E+00  3.3644196E+01  6.0775108E+01  6.4983910E+01  1.2231674E+02  1.2241432E+02  1.7015768E+03  1.2241431E+02  1.2231675E+02  6.4983905E+01  6.0775108E+01  3.3644196E+01  0.0000000E+00  2.8627517E+00
  0.0000000E+00  3.9615101E+01  6.6453218E+01  7.0493268E+01  1.2687812E+02  1.2698015E+02  1.8526037E+03  1.2698014E+02  1.2687813E+02  7.0493263E+01  6.6453218E+01  3.9615101E+01  0.0000000E+00  2.9996071E+00
  0.0000000E+00  4.5770207E+01  7.2307811E+01  7.6170850E+01  1.3175788E+02  1.3186631E+02  2.0113010E+03  1.3186630E+02  1.3175788E+02  7.6170845E+01  7.2307811E+01  4.5770207E+01  0.0000000E+00  3.1369527E+00
  0.0000000E+00  5.2106640E+01  7.8347383E+01  8.2016874E+01  1.3685916E+02  1.3697388E+02  2.1792831E+03  1.3697387E+02  1.3685917E+02  8.2016869E+01  7.8347383E+01  5.2106640E+01  0.0000000E+00  3.2747923E+00
  0.0000000E+00  5.8625775E+01  8.4613594E+01  8.8059640E+01  1.4217799E+02  1.4229893E+02  2.3547802E+03  1.4229891E+02  1.4217799E+02  8.8059635E+01  8.4613594E+01  5.8625775E+01  0.0000000E+00  3.4131305E+00
  0.0000000E+00  6.5373992E+01  9.1098242E+01  9.4341264E+01  1.4773366E+02  1.4786055E+02  2.5376457E+03  1.4786054E+02  1.4773367E+02  9.4341258E+01  9.1098242E+01  6.5373992E+01  0.0000000E+00  3.5519708E+00
  0.0000000E+00  7.2323506E+01  9.7783919E+01  1.0086498E+02  1.5351128E+02  1.5364426E+02  2.7279424E+03  1.5364425E+02  1.5351129E+02  1.0086497E+02  9.7783919E+01  7.2323506E+01  0.0000000E+00  3.6913172E+00
  0.0000000E+00  7.9517150E+01  1.0467744E+02  1.0765835E+02  1.5953567E+02  1.5967436E+02  2.9262985E+03  1.5967435E+02  1.5953568E+02  1.0765834E+02  1.0467744E+02  7.9517150E+01  0.0000000E+00  3.8311740E+00
  0.0000000E+00  8.6943182E+01  1.1178106E+02  1.1468696E+02  1.6621019E+02  1.6631512E+02  3.1388736E+03  1.6631511E+02  1.6621019E+02  1.1468696E+02  1.1178106E+02  8.6943182E+01  0.0000000E+00  3.9715449E+00
  0.0000000E+00  9.4575226E+01  1.1915489E+02  1.2191366E+02  1.7317232E+02  1.7328175E+02  3.3608243E+03  1.7328175E+02  1.7317233E+02  1.2191366E+02  1.1915489E+02  9.4575226E+01  0.0000000E+00  4.1124341E+00
  0.0000000E+00  1.0241347E+02  1.2673111E+02  1.2940288E+02  1.8034812E+02  1.8046204E+02  3.5909614E+03  1.8046203E+02  1.8034814E+02  1.2940287E+02  1.2673111E+02  1.0241347E+02  0.0000000E+00  4.2538476E+00
  0.0000000E+00  1.1045788E+02  1.3450948E+02  1.3718741E+02  1.8773627E+02  1.8785464E+02  3.8299840E+03  1.8785463E+02  1.8773629E+02  1.3718740E+02  1.3450948E+02  1.1045788E+02  0.0000000E+00  4.3957865E+00
  0.0000000E+00  1.1872342E+02  1.4248984E+02  1.4517369E+02  1.9533582E+02  1.9545861E+02  4.0783656E+03  1.9545860E+02  1.9533583E+02  1.4517368E+02  1.4248984E+02  1.1872342E+02  0.0000000E+00  4.5382567E+00
  1.0001650E-10  1.2724069E+02  1.5069380E+02  1.5340910E+02  2.0314565E+02  2.0327284E+02  4.3366595E+03  2.0327283E+02  2.0314566E+02  1.5340910E+02  1.5069380E+02  1.2724069E+02  1.0001650E-10  4.6812624E+00
  3.3607648E+00  1.3585274E+02  1.5910377E+02  1.6182611E+02  2.1104410E+02  2.1118045E+02  4.5990690E+03  2.1118044E+02  2.1104411E+02  1.6182610E+02  1.5910377E+02  1.3585274E+02  3.3607648E+00  4.8245787E+00
  1.2723473E+01  1.4446563E+02  1.6751682E+02  1.7024466E+02  2.1897472E+02  2.1911583E+02  4.8624391E+03  2.1911582E+02  2.1897474E+02  1.7024465E+02  1.6751682E+02  1.4446563E+02  1.2723473E+01  4.9680795E+00
  2.2289814E+01  1.5330361E+02  1.7615192E+02  1.7888511E+02  2.2715219E+02  2.2729763E+02  5.1341726E+03  2.2729762E+02  2.2715221E+02  1.7888510E+02  1.7615192E+02  1.5330361E+02  2.2289814E+01  5.1122321E+00
  3.2061120E+01  1.6236691E+02  1.8500942E+02  1.8774759E+02  2.3555150E+02  2.3570125E+02  5.4142543E+03  2.3570124E+02  2.3555152E+02  1.8774758E+02  1.8500942E+02  1.6236691E+02  3.2061120E+01  5.2570434E+00
  4.2038547E+01  1.7165567E+02  1.9414000E+02  1.9687608E+02  2.4417233E+02  2.4432638E+02  5.7026641E+03  2.4432637E+02  2.4417235E+02  1.9687607E+02  1.9414000E+02  1.7165567E+02  4.2038547E+01  5.4025196E+00
  5.2223057E+01  1.8116993E+02  2.0354668E+02  2.0628769E+02  2.5301427E+02  2.5317261E+02  5.9993758E+03  2.5317260E+02  2.5301429E+02  2.0628768E+02  2.0354668E+02  1.8116993E+02  5.2223057E+01  5.5486677E+00
  6.2615459E+01  1.9090962E+02  2.1318155E+02  2.1592736E+02  2.6207687E+02  2.6223948E+02  6.3043585E+03  2.6223947E+02  2.6207689E+02  2.1592735E+02  2.1318155E+02  1.9090962E+02  6.2615459E+01  5.6954945E+00
  7.3216393E+01  2.0087456E+02  2.2304429E+02  2.2579480E+02  2.7135960E+02  2.7152647E+02  6.6175756E+03  2.7152646E+02  2.7135962E+02  2.2579479E+02  2.2304429E+02  2.0087456E+02  7.3216393E+01  5.8430070E+00
  8.4026375E+01  2.1106452E+02  2.3313456E+02  2.3588965E+02  2.8086189E+02  2.8103301E+02  6.9389887E+03  2.8103300E+02  2.8086192E+02  2.3588964E+02  2.3313456E+02  2.1106452E+02  8.4026375E+01  5.9912120E+00
  9.5045764E+01  2.2147915E+02  2.4345189E+02  2.4621147E+02  2.9058311E+02  2.9075845E+02  7.2685530E+03  2.9075845E+02  2.9058313E+02  2.4621146E+02  2.4345189E+02  2.2147915E+02  9.5045764E+01  6.1401170E+00
  1.0627481E+02  2.3211802E+02  2.5399577E+02  2.5675974E+02  3.0052254E+02  3.0070211E+02  7.6062212E+03  3.0070211E+02  3.0052257E+02  2.5675973E+02  2.5399577E+02  2.3211802E+02  1.0627481E+02  6.2897289E+00
  1.1771363E+02  2.4298065E+02  2.6476560E+02  2.6753386E+02  3.1067946E+02  3.1086324E+02  7.9519420E+03  3.1086323E+02  3.1067948E+02  2.6753385E+02  2.6476560E+02  2.4298065E+02  1.1771363E+02  6.4400554E+00
  1.2936225E+02  2.5406645E+02  2.7576071E+02  2.7853319E+02  3.2105306E+02  3.2124104E+02  8.3056619E+03  3.2124103E+02  3.2105308E+02  2.7853318E+02  2.7576071E+02  2.5406645E+02  1.2936225E+02  6.5911041E+00
  1.4122058E+02  2.6537480E+02  2.8698039E+02  2.8975700E+02  3.3167079E+02  3.3185588E+02  8.6673240E+03  3.3185588E+02  3.3167082E+02  2.8975699E+02  2.8698039E+02  2.6537480E+02  1.4122058E+02  6.7428821E+00
  1.5328844E+02  2.7690499E+02  2.9842385E+02  3.0120451E+02  3.4256843E+02  3.4275755E+02  9.0368689E+03  3.4275755E+02  3.4256846E+02  3.0120450E+02  2.9842385E+02  2.7690499E+02  1.5328844E+02  6.8953978E+00
  1.6556558E+02  2.8865629E+02  3.1009028E+02  3.1287493E+02  3.5368249E+02  3.5387563E+02  9.4142366E+03  3.5387563E+02  3.5368252E+02  3.1287492E+02  3.1009028E+02  2.8865629E+02  1.6556558E+02  7.0486590E+00
  1.7805164E+02  3.0062788E+02  3.2197880E+02  3.2476737E+02  3.6501200E+02  3.6520915E+02  9.7993630E+03  3.6520915E+02  3.6501203E+02  3.2476736E+02  3.2197880E+02  3.0062788E+02  1.7805164E+02  7.2026732E+00
  1.9074621E+02  3.1281891E+02  3.3408848E+02  3.3688090E+02  3.7655595E+02  3.7675711E+02  1.0192183E+04  3.7675710E+02  3.7655598E+02  3.3688089E+02  3.3408848E+02  3.1281891E+02  1.9074621E+02  7.3574488E+00
  2.0364880E+02  3.2522849E+02  3.4641837E+02  3.4921458E+02  3.8831330E+02  3.8851846E+02  1.0592631E+04  3.8851846E+02  3.8831334E+02  3.4921457E+02  3.4641837E+02  3.2522849E+02  2.0364880E+02  7.5129944E+00
  2.1675884E+02  3.3785564E+02  3.5896743E+02  3.6176738E+02  4.0028299E+02  4.0049213E+02  1.1000638E+04  4.0049212E+02  4.0028302E+02  3.6176738E+02  3.5896743E+02  3.3785564E+02  2.1675884E+02  7.6693181E+00
  2.3007572E+02  3.5069941E+02  3.7173464E+02  3.7453829E+02  4.1246392E+02  4.1267705E+02  1.1416135E+04  4.1267704E+02  4.1246396E+02  3.7453828E+02  3.7173464E+02  3.5069941E+02  2.3007572E+02  7.8264286E+00
  2.4359876E+02  3.6375874E+02  3.8471892E+02  3.8752621E+02  4.2485496E+02  4.2507206E+02  1.1839052E+04  4.2507205E+02  4.2485500E+02  3.8752620E+02  3.8471892E+02  3.6375874E+02  2.4359876E+02  7.9843344E+00
  2.5732723E+02  3.7703259E+02  3.9791915E+02  4.0073003E+02  4.3745497E+02  4.3767603E+02  1.2269318E+04  4.3767603E+02  4.3745500E+02  4.0073002E+02  3.9791915E+02  3.7703259E+02  2.5732723E+02  8.1430445E+00
  0.0000000E+00  2.4000000E-09  2.9000036E-09  7.4944384E+00  7.8089608E+01  7.8089608E+01  2.2446522E+02  7.8089603E+01  7.8089610E+01  7.4944366E+00  2.9000036E-09  2.0000000E-09  0.0000000E+00  9.6300967E-01
  0.0000000E+00  2.4000004E-09  3.4080346E+00  1.0264533E+01  7.8195977E+01  7.8204501E+01  2.9523813E+02  7.8204495E+01  7.8195978E+01  1.0264531E+01  3.4080346E+00  2.0000007E-09  0.0000000E+00  1.0720205E+00
  0.0000000E+00  3.6000020E-09  6.9576473E+00  1.3418861E+01  7.8613490E+01  7.8630186E+01  3.7114662E+02  7.8630180E+01  7.8613493E+01  1.3418858E+01  6.9576473E+00  3.7000019E-09  0.0000000E+00  1.1816736E+00
  0.0000000E+00  3.8000012E-09  1.0639545E+01  1.6725533E+01  7.9408011E+01  7.9432581E+01  4.5116869E+02  7.9432574E+01  7.9408014E+01  1.6725529E+01  1.0639545E+01  3.6000007E-09  0.0000000E+00  1.2916828E+00
  0.0000000E+00  2.4000018E-09  1.4445135E+01  2.0278228E+01  8.0568829E+01  8.0600894E+01  5.3604799E+02  8.0600886E+01  8.0568831E+01  2.0278224E+01  1.4445135E+01  2.6000007E-09  0.0000000E+00  1.4020506E+00
  0.0000000E+00  3.8000025E-09  1.8376000E+01  2.3991055E+01  8.2161504E+01  8.2200536E+01  6.2493486E+02  8.2200529E+01  8.2161506E+01  2.3991051E+01  1.8376000E+01  5.3000006E-09  0.0000000E+00  1.5127797E+00
  0.0000000E+00  1.9000008E-09  2.2426345E+01  2.7817072E+01  8.4025778E+01  8.4071905E+01  7.1795666E+02  8.4071896E+01  8.4025783E+01  2.7817068E+01  2.2426345E+01  2.2000013E-09  0.0000000E+00  1.6238727E+00
  0.0000000E+00  1.2722144E+00  2.6497408E+01  3.1657534E+01  8.6047278E+01  8.6100369E+01  8.1372607E+02  8.6100359E+01  8.6047281E+01  3.1657530E+01  2.6497408E+01  1.2722144E+00  0.0000000E+00  1.7353166E+00
  0.0000000E+00  5.5628985E+00  3.0472451E+01  3.5416807E+01  8.8098596E+01  8.8158475E+01  9.0989513E+02  8.8158465E+01  8.8098601E+01  3.5416801E+01  3.0472451E+01  5.5628985E+00  0.0000000E+00  1.8471043E+00
  0.0000000E+00  9.9814649E+00  3.4606307E+01  3.9347390E+01  9.0410671E+01  9.0477220E+01  1.0109467E+03  9.0477211E+01  9.0410677E+01  3.9347385E+01  3.4606307E+01  9.9814649E+00  0.0000000E+00  1.9592821E+00
  0.0000000E+00  1.4530541E+01  3.8886061E+01  4.3452044E+01  9.3473842E+01  9.3540114E+01  1.1178163E+03  9.3540107E+01  9.3473849E+01  4.3452038E+01  3.8886061E+01  1.4530541E+01  0.0000000E+00  2.0718530E+00
  0.0000000E+00  1.9216456E+01  4.3316653E+01  4.7704872E+01  9.6778121E+01  9.6850294E+01  1.2300921E+03  9.6850286E+01  9.6778130E+01  4.7704866E+01  4.3316653E+01  1.9216456E+01  0.0000000E+00  2.1848202E+00
  0.0000000E+00  2.4057399E+01  4.7898599E+01  5.2103300E+01  1.0028215E+02  1.0036011E+02  1.3481217E+03  1.0036011E+02  1.0028216E+02  5.2103294E+01  4.7898599E+01  2.4057399E+01  0.0000000E+00  2.2981867E+00
  0.0000000E+00  2.9052310E+01  5.2629277E+01  5.6674742E+01  1.0398059E+02  1.0406431E+02  1.4715931E+03  1.0406430E+02  1.0398059E+02  5.6674736E+01  5.2629277E+01  2.9052310E+01  0.0000000E+00  2.4119556E+00
  0.0000000E+00  3.4202316E+01  5.7509245E+01  6.1404865E+01  1.0794666E+02  1.0803414E+02  1.6010485E+03  1.0803413E+02  1.0794667E+02  6.1404859E+01  5.7509245E+01  3.4202316E+01  0.0000000E+00  2.5261301E+00
  0.0000000E+00  3.9534942E+01  6.2544914E+01  6.6277664E+01  1.1242056E+02  1.1249167E+02  1.7383585E+03  1.1249166E+02  1.1242056E+02  6.6277658E+01  6.2544914E+01  3.9534942E+01  0.0000000E+00  2.6407131E+00
  0.0000000E+00  4.5034836E+01  6.7776001E+01  7.1319139E+01  1.1722243E+02  1.1729789E+02  1.8826724E+03  1.1729788E+02  1.1722244E+02  7.1319132E+01  6.7776001E+01  4.5034836E+01  0.0000000E+00  2.7557079E+00
  0.0000000E+00  5.0704792E+01  7.3190908E+01  7.6614161E+01  1.2221655E+02  1.2229615E+02  2.0332799E+03  1.2229614E+02  1.2221656E+02  7.6614154E+01  7.3190908E+01  5.0704792E+01  0.0000000E+00  2.8711181E+00
  0.0000000E+00  5.6592995E+01  7.8787864E+01  8.2085755E+01  1.2741433E+02  1.2749820E+02  2.1902446E+03  1.2749819E+02  1.2741434E+02  8.2085748E+01  7.8787864E+01  5.6592995E+01  0.0000000E+00  2.9869469E+00
  0.0000000E+00  6.2656159E+01  8.4622250E+01  8.7802901E+01  1.3279739E+02  1.3288551E+02  2.3575845E+03  1.3288550E+02  1.3279740E+02  8.7802894E+01  8.4622250E+01  6.2656159E+01  0.0000000E+00  3.1031975E+00
  0.0000000E+00  6.8894735E+01  9.0629725E+01  9.3689402E+01  1.3838660E+02  1.3847849E+02  2.5347662E+03  1.3847848E+02  1.3838661E+02  9.3689395E+01  9.0629725E+01  6.8894735E+01  0.0000000E+00  3.2198734E+00
  0.0000000E+00  7.5309028E+01  9.6810334E+01  9.9745288E+01  1.4417776E+02  1.4427381E+02  2.7189557E+03  1.4427380E+02  1.4417777E+02  9.9745281E+01  9.6810334E+01  7.5309028E+01  0.0000000E+00  3.3369778E+00
  0.0000000E+00  8.1911029E+01  1.0316410E+02  1.0597925E+02  1.5015316E+02  1.5025335E+02  2.9106072E+03  1.5025334E+02  1.5015317E+02  1.0597924E+02  1.0316410E+02  8.1911029E+01  0.0000000E+00  3.4545143E+00
  0.0000000E+00  8.8722692E+01  1.0969090E+02  1.1251047E+02  1.5631182E+02  1.5641613E+02  3.1104626E+03  1.5641612E+02  1.5631184E+02  1.1251046E+02  1.0969090E+02  8.8722692E+01  0.0000000E+00  3.5724876E+00
  0.0000000E+00  9.5722782E+01  1.1646976E+02  1.1931810E+02  1.6265338E+02  1.6276210E+02  3.3186901E+03  1.6276209E+02  1.6265340E+02  1.1931809E+02  1.1646976E+02  9.5722782E+01  0.0000000E+00  3.6908987E+00
  0.0000000E+00  1.0290439E+02  1.2346605E+02  1.2631839E+02  1.6921087E+02  1.6932367E+02  3.5341103E+03  1.6932366E+02  1.6921089E+02  1.2631839E+02  1.2346605E+02  1.0290439E+02  0.0000000E+00  3.8097526E+00
  1.0001426E-10  1.1026719E+02  1.3064202E+02  1.3349821E+02  1.7595114E+02  1.7606801E+02  3.7566991E+03  1.7606800E+02  1.7595116E+02  1.3349820E+02  1.3064202E+02  1.1026719E+02  1.0001426E-10  3.9290529E+00
  2.9046462E+00  1.1770377E+02  1.3789254E+02  1.4075373E+02  1.8276981E+02  1.8289474E+02  3.9827344E+03  1.8289473E+02  1.8276983E+02  1.4075373E+02  1.3789254E+02  1.1770377E+02  2.9046462E+00  4.0486106E+00
  1.0994847E+01  1.2514177E+02  1.4519645E+02  1.4805431E+02  1.8960288E+02  1.8973182E+02  4.2094578E+03  1.8973181E+02  1.8960290E+02  1.4805430E+02  1.4519645E+02  1.2514177E+02  1.0994847E+01  4.1683197E+00
  1.9258272E+01  1.3277167E+02  1.5272288E+02  1.5558438E+02  1.9662588E+02  1.9675881E+02  4.4433038E+03  1.9675880E+02  1.9662591E+02  1.5558437E+02  1.5272288E+02  1.3277167E+02  1.9258272E+01  4.2885720E+00
  2.7695963E+01  1.4059354E+02  1.6044411E+02  1.6330913E+02  2.0383846E+02  2.0397536E+02  4.6842513E+03  2.0397535E+02  2.0383848E+02  1.6330912E+02  1.6044411E+02  1.4059354E+02  2.7695963E+01  4.4093732E+00
  3.6308764E+01  1.4860736E+02  1.6835997E+02  1.7122841E+02  2.1124016E+02  2.1138102E+02  4.9322732E+03  2.1138101E+02  2.1124018E+02  1.7122841E+02  1.6835997E+02  1.4860736E+02  3.6308764E+01  4.5307288E+00
  4.5097401E+01  1.5681304E+02  1.7647026E+02  1.7934203E+02  2.1883054E+02  2.1897535E+02  5.1873397E+03  2.1897534E+02  2.1883056E+02  1.7934202E+02  1.7647026E+02  1.5681304E+02  4.5097401E+01  4.6526444E+00
  5.4062416E+01  1.6521037E+02  1.8477463E+02  1.8764963E+02  2.2660903E+02  2.2675779E+02  5.4494148E+03  2.2675778E+02  2.2660906E+02  1.8764962E+02  1.8477463E+02  1.6521037E+02  5.4062416E+01  4.7751257E+00
  6.3204232E+01  1.7379906E+02  1.9327269E+02  1.9615084E+02  2.3457505E+02  2.3472773E+02  5.7184591E+03  2.3472772E+02  2.3457508E+02  1.9615083E+02  1.9327269E+02  1.7379906E+02  6.3204232E+01  4.8981783E+00
  7.2523141E+01  1.8257874E+02  2.0196396E+02  2.0484518E+02  2.4272793E+02  2.4288453E+02  5.9944299E+03  2.4288452E+02  2.4272796E+02  2.0484517E+02  2.0196396E+02  1.8257874E+02  7.2523141E+01  5.0218085E+00
  8.2019327E+01  1.9154898E+02  2.1084791E+02  2.1373213E+02  2.5106699E+02  2.5122749E+02  6.2772812E+03  2.5122748E+02  2.5106702E+02  2.1373212E+02  2.1084791E+02  1.9154898E+02  8.2019327E+01  5.1460217E+00
  9.1692848E+01  2.0070925E+02  2.1992392E+02  2.2281107E+02  2.5959145E+02  2.5975584E+02  6.5669631E+03  2.5975584E+02  2.5959148E+02  2.2281106E+02  2.1992392E+02  2.0070925E+02  9.1692848E+01  5.2708247E+00
  1.0154369E+02  2.1005901E+02  2.2919137E+02  2.3208138E+02  2.6831494E+02  2.6847747E+02  6.8634254E+03  2.6847747E+02  2.6831498E+02  2.3208137E+02  2.2919137E+02  2.1005901E+02  1.0154369E+02  5.3962228E+00
  1.1157172E+02  2.1959760E+02  2.3864952E+02  2.4154234E+02  2.7728646E+02  2.7745274E+02  7.1666135E+03  2.7745274E+02  2.7728650E+02  2.4154233E+02  2.3864952E+02  2.1959760E+02  1.1157172E+02  5.5222229E+00
  1.2177673E+02  2.2932435E+02  2.4829761E+02  2.5119317E+02  2.8644294E+02  2.8661296E+02  7.4764710E+03  2.8661295E+02  2.8644298E+02  2.5119316E+02  2.4829761E+02  2.2932435E+02  1.2177673E+02  5.6488311E+00
  1.3215843E+02  2.3923850E+02  2.5813483E+02  2.6103308E+02  2.9578347E+02  2.9595722E+02  7.7929403E+03  2.9595721E+02  2.9578351E+02  2.6103307E+02  2.5813483E+02  2.3923850E+02  1.3215843E+02  5.7760540E+00
  1.4271647E+02  2.4933928E+02  2.6816033E+02  2.7106122E+02  3.0530711E+02  3.0548458E+02  8.1159613E+03  3.0548457E+02  3.0530715E+02  2.7106121E+02  2.6816033E+02  2.4933928E+02  1.4271647E+02  5.9038980E+00
  1.5345039E+02  2.5962584E+02  2.7837319E+02  2.8127668E+02  3.1501287E+02  3.1519406E+02  8.4454728E+03  3.1519406E+02  3.1501292E+02  2.8127667E+02  2.7837319E+02  2.5962584E+02  1.5345039E+02  6.0323700E+00
  1.6435972E+02  2.7009732E+02  2.8877250E+02  2.9167854E+02  3.2489977E+02  3.2508467E+02  8.7814125E+03  3.2508466E+02  3.2489981E+02  2.9167853E+02  2.8877250E+02  2.7009732E+02  1.6435972E+02  6.1614764E+00
  1.7544388E+02  2.8075278E+02  2.9935727E+02  3.0226582E+02  3.3496675E+02  3.3515535E+02  9.1237160E+03  3.3515535E+02  3.3496680E+02  3.0226581E+02  2.9935727E+02  2.8075278E+02  1.7544388E+02  6.2912247E+00
  1.8670228E+02  2.9159131E+02  3.1012652E+02  3.1303754E+02  3.4521280E+02  3.4540509E+02  9.4723200E+03  3.4540509E+02  3.4521284E+02  3.1303753E+02  3.1012652E+02  2.9159131E+02  1.8670228E+02  6.4216214E+00
  1.9813427E+02  3.0261193E+02  3.2107922E+02  3.2399268E+02  3.5563681E+02  3.5583279E+02  9.8271584E+03  3.5583279E+02  3.5563686E+02  3.2399267E+02  3.2107922E+02  3.0261193E+02  1.9813427E+02  6.5526739E+00
  2.0973913E+02  3.1381360E+02  3.3221430E+02  3.3513016E+02  3.6623770E+02  3.6643736E+02  1.0188165E+04  3.6643736E+02  3.6623775E+02  3.3513015E+02  3.3221430E+02  3.1381360E+02  2.0973913E+02  6.6843894E+00
  2.2154877E+02  3.2519531E+02  3.4353069E+02  3.4644893E+02  3.7701435E+02  3.7721769E+02  1.0555273E+04  3.7721769E+02  3.7701440E+02  3.4644892E+02  3.4353069E+02  3.2519531E+02  2.2154877E+02  6.8167752E+00
  0.0000000E+00  2.9000000E-09  3.1000033E-09  6.8994998E+00  6.5138894E+01  6.5138894E+01  2.0343225E+02  6.5138886E+01  6.5138894E+01  6.8994977E+00  3.1000033E-09  2.1000000E-09  0.0000000E+00  8.2469479E-01
  0.0000000E+00  2.9000014E-09  3.0013205E+00  9.3422562E+00  6.5241710E+01  6.5248970E+01  2.6479531E+02  6.5248962E+01  6.5241712E+01  9.3422537E+00  3.0013205E+00  2.1000030E-09  0.0000000E+00  9.1437531E-01
  0.0000000E+00  3.6000026E-09  6.1084238E+00  1.2127845E+01  6.5661798E+01  6.5676021E+01  3.3060016E+02  6.5676013E+01  6.5661800E+01  1.2127841E+01  6.1084238E+00  3.8000017E-09  0.0000000E+00  1.0052666E+00
  0.0000000E+00  4.2000009E-09  9.3162668E+00  1.5042130E+01  6.6399072E+01  6.6420011E+01  3.9959279E+02  6.6420001E+01  6.6399075E+01  1.5042125E+01  9.3162668E+00  3.6000011E-09  0.0000000E+00  1.0964528E+00
  0.0000000E+00  1.8000002E-09  1.2621673E+01  1.8118938E+01  6.7436160E+01  6.7463491E+01  4.7239453E+02  6.7463481E+01  6.7436162E+01  1.8118933E+01  1.2621673E+01  1.9000017E-09  0.0000000E+00  1.1879359E+00
  0.0000000E+00  3.8000021E-09  1.6025022E+01  2.1327121E+01  6.8818001E+01  6.8851282E+01  5.4841761E+02  6.8851271E+01  6.8818004E+01  2.1327116E+01  1.6025022E+01  2.7000017E-09  0.0000000E+00  1.2797183E+00
  0.0000000E+00  2.8000008E-09  1.9526141E+01  2.4625638E+01  7.0456458E+01  7.0495624E+01  6.2795340E+02  7.0495610E+01  7.0456459E+01  2.4625632E+01  1.9526141E+01  2.2000020E-09  0.0000000E+00  1.3718019E+00
  0.0000000E+00  1.0995215E+00  2.3042392E+01  2.7929908E+01  7.2236721E+01  7.2281805E+01  7.0946873E+02  7.2281794E+01  7.2236723E+01  2.7929902E+01  2.3042392E+01  1.0995215E+00  0.0000000E+00  1.4641758E+00
  0.0000000E+00  4.8045052E+00  2.6476193E+01  3.1159305E+01  7.4067554E+01  7.4109402E+01  7.9131790E+02  7.4109387E+01  7.4067557E+01  3.1159299E+01  2.6476193E+01  4.8045052E+00  0.0000000E+00  1.5568337E+00
  0.0000000E+00  8.6157120E+00  3.0035551E+01  3.4542181E+01  7.6806025E+01  7.6847653E+01  8.7789484E+02  7.6847640E+01  7.6806031E+01  3.4542175E+01  3.0035551E+01  8.6157120E+00  0.0000000E+00  1.6498147E+00
  0.0000000E+00  1.2538705E+01  3.3721161E+01  3.8076491E+01  7.9819915E+01  7.9865896E+01  9.6928919E+02  7.9865884E+01  7.9819922E+01  3.8076484E+01  3.3721161E+01  1.2538705E+01  0.0000000E+00  1.7431213E+00
  0.0000000E+00  1.6589934E+01  3.7534558E+01  4.1730540E+01  8.2996284E+01  8.3046540E+01  1.0654704E+03  8.3046526E+01  8.2996292E+01  4.1730533E+01  3.7534558E+01  1.6589934E+01  0.0000000E+00  1.8367560E+00
  0.0000000E+00  2.0785720E+01  4.1473251E+01  4.5513908E+01  8.6330987E+01  8.6385474E+01  1.1662282E+03  8.6385462E+01  8.6330996E+01  4.5513901E+01  4.1473251E+01  2.0785720E+01  0.0000000E+00  1.9307213E+00
  0.0000000E+00  2.5119921E+01  4.5538020E+01  4.9472387E+01  8.9834092E+01  8.9893165E+01  1.2718764E+03  8.9893154E+01  8.9834104E+01  4.9472379E+01  4.5538020E+01  2.5119921E+01  0.0000000E+00  2.0250198E+00
  0.0000000E+00  2.9590558E+01  4.9733856E+01  5.3567165E+01  9.3591504E+01  9.3653093E+01  1.3836856E+03  9.3653077E+01  9.3591512E+01  5.3567158E+01  4.9733856E+01  2.9590558E+01  0.0000000E+00  2.1196542E+00
  0.0000000E+00  3.4219126E+01  5.4112609E+01  5.7812362E+01  9.7541799E+01  9.7607436E+01  1.5018950E+03  9.7607420E+01  9.7541809E+01  5.7812354E+01  5.4112609E+01  3.4219126E+01  0.0000000E+00  2.2146269E+00
  0.0000000E+00  3.9011687E+01  5.8681882E+01  6.2232275E+01  1.0165310E+02  1.0172275E+02  1.6256955E+03  1.0172273E+02  1.0165311E+02  6.2232267E+01  5.8681882E+01  3.9011687E+01  0.0000000E+00  2.3099405E+00
  0.0000000E+00  4.3952580E+01  6.3403945E+01  6.6794206E+01  1.0594145E+02  1.0601492E+02  1.7561827E+03  1.0601491E+02  1.0594146E+02  6.6794198E+01  6.3403945E+01  4.3952580E+01  0.0000000E+00  2.4055982E+00
  0.0000000E+00  4.9042479E+01  6.8285685E+01  7.1553733E+01  1.1039526E+02  1.1047269E+02  1.8968152E+03  1.1047267E+02  1.1039527E+02  7.1553724E+01  6.8285685E+01  4.9042479E+01  0.0000000E+00  2.5016025E+00
  0.0000000E+00  5.4287141E+01  7.3315513E+01  7.6480713E+01  1.1500853E+02  1.1508988E+02  2.0434410E+03  1.1508987E+02  1.1500855E+02  7.6480704E+01  7.3315513E+01  5.4287141E+01  0.0000000E+00  2.5979560E+00
  0.0000000E+00  5.9705193E+01  7.8493589E+01  8.1552724E+01  1.1979657E+02  1.1988117E+02  2.1962036E+03  1.1988115E+02  1.1979658E+02  8.1552715E+01  7.8493589E+01  5.9705193E+01  0.0000000E+00  2.6946617E+00
  0.0000000E+00  6.5287347E+01  8.3836076E+01  8.6809407E+01  1.2477687E+02  1.2486556E+02  2.3561151E+03  1.2486554E+02  1.2477689E+02  8.6809398E+01  8.3836076E+01  6.5287347E+01  0.0000000E+00  2.7917223E+00
  0.0000000E+00  7.1024881E+01  8.9405694E+01  9.2357415E+01  1.2992922E+02  1.3002173E+02  2.5232276E+03  1.3002172E+02  1.2992924E+02  9.2357406E+01  8.9405694E+01  7.1024881E+01  0.0000000E+00  2.8891406E+00
  0.0000000E+00  7.6917740E+01  9.5130032E+01  9.8084262E+01  1.3524146E+02  1.3533777E+02  2.6965633E+03  1.3533776E+02  1.3524149E+02  9.8084253E+01  9.5130032E+01  7.6917740E+01  0.0000000E+00  2.9869206E+00
  0.0000000E+00  8.2965752E+01  1.0100872E+02  1.0396532E+02  1.4071245E+02  1.4081253E+02  2.8760822E+03  1.4081252E+02  1.4071247E+02  1.0396531E+02  1.0100872E+02  8.2965752E+01  0.0000000E+00  3.0850633E+00
  0.0000000E+00  8.9168658E+01  1.0707018E+02  1.1002221E+02  1.4634118E+02  1.4644502E+02  3.0617625E+03  1.4644501E+02  1.4634121E+02  1.1002220E+02  1.0707018E+02  8.9168658E+01  0.0000000E+00  3.1835725E+00
  1.0001232E-10  9.5526115E+01  1.1332604E+02  1.1628022E+02  1.5212662E+02  1.5223420E+02  3.2535757E+03  1.5223419E+02  1.5212664E+02  1.1628021E+02  1.1332604E+02  9.5526115E+01  1.0001232E-10  3.2824513E+00
  2.5101381E+00  1.0194683E+02  1.1964870E+02  1.2260604E+02  1.5798013E+02  1.5809480E+02  3.4482709E+03  1.5809479E+02  1.5798016E+02  1.2260603E+02  1.1964870E+02  1.0194683E+02  2.5101381E+00  3.3815420E+00
  9.4999810E+00  1.0836949E+02  1.2597668E+02  1.2893614E+02  1.6384742E+02  1.6396577E+02  3.6434353E+03  1.6396576E+02  1.6384745E+02  1.2893613E+02  1.2597668E+02  1.0836949E+02  9.4999810E+00  3.4807551E+00
  1.6637167E+01  1.1495576E+02  1.3247091E+02  1.3543241E+02  1.6987727E+02  1.6999929E+02  3.8446640E+03  1.6999928E+02  1.6987730E+02  1.3543240E+02  1.3247091E+02  1.1495576E+02  1.6637167E+01  3.5804184E+00
  2.3922465E+01  1.2170555E+02  1.3913118E+02  1.4209464E+02  1.7606921E+02  1.7619489E+02  4.0519299E+03  1.7619488E+02  1.7606924E+02  1.4209463E+02  1.3913118E+02  1.2170555E+02  2.3922465E+01  3.6805361E+00
  3.1356490E+01  1.2861874E+02  1.4595722E+02  1.4892259E+02  1.8242275E+02  1.8255207E+02  4.2652021E+03  1.8255206E+02  1.8242278E+02  1.4892257E+02  1.4595722E+02  1.2861874E+02  3.1356490E+01  3.7811130E+00
  3.8939727E+01  1.3569508E+02  1.5294870E+02  1.5591590E+02  1.8893731E+02  1.8907027E+02  4.4844456E+03  1.8907026E+02  1.8893734E+02  1.5591589E+02  1.5294870E+02  1.3569508E+02  3.8939727E+01  3.8821537E+00
  4.6672524E+01  1.4293427E+02  1.6010520E+02  1.6307417E+02  1.9561228E+02  1.9574886E+02  4.7096219E+03  1.9574886E+02  1.9561232E+02  1.6307416E+02  1.6010520E+02  1.4293427E+02  4.6672524E+01  3.9836629E+00
  5.4555117E+01  1.5033592E+02  1.6742623E+02  1.7039692E+02  2.0244701E+02  2.0258720E+02  4.9406889E+03  2.0258719E+02  2.0244705E+02  1.7039691E+02  1.6742623E+02  1.5033592E+02  5.4555117E+01  4.0856453E+00
  6.2587634E+01  1.5789960E+02  1.7491126E+02  1.7788362E+02  2.0944080E+02  2.0958459E+02  5.1776032E+03  2.0958459E+02  2.0944084E+02  1.7788361E+02  1.7491126E+02  1.5789960E+02  6.2587634E+01  4.1881059E+00
  7.0770096E+01  1.6562479E+02  1.8255969E+02  1.8553367E+02  2.1659812E+02  2.1674086E+02  5.4203170E+03  2.1674086E+02  2.1659817E+02  1.8553366E+02  1.8255969E+02  1.6562479E+02  7.0770096E+01  4.2910495E+00
  7.9102441E+01  1.7351091E+02  1.9037087E+02  1.9334642E+02  2.2397391E+02  2.2412013E+02  5.6687809E+03  2.2412013E+02  2.2397396E+02  1.9334641E+02  1.9037087E+02  1.7351091E+02  7.9102441E+01  4.3944813E+00
  8.7584513E+01  1.8155734E+02  1.9834409E+02  2.0132117E+02  2.3150814E+02  2.3165782E+02  5.9229435E+03  2.3165781E+02  2.3150819E+02  2.0132116E+02  1.9834409E+02  1.8155734E+02  8.7584513E+01  4.4984062E+00
  9.6216074E+01  1.8976340E+02  2.0647859E+02  2.0945717E+02  2.3919995E+02  2.3935308E+02  6.1827514E+03  2.3935308E+02  2.3920000E+02  2.0945716E+02  2.0647859E+02  1.8976340E+02  9.6216074E+01  4.6028297E+00
  1.0499682E+02  1.9812836E+02  2.1477360E+02  2.1775364E+02  2.4704845E+02  2.4720502E+02  6.4481495E+03  2.4720502E+02  2.4704850E+02  2.1775363E+02  2.1477360E+02  1.9812836E+02  1.0499682E+02  4.7077567E+00
  1.1394006E+02  2.0665145E+02  2.2322826E+02  2.2620973E+02  2.5505272E+02  2.5521272E+02  6.7190813E+03  2.5521272E+02  2.5505277E+02  2.2620972E+02  2.2322826E+02  2.0665145E+02  1.1394006E+02  4.8131927E+00
  1.2305081E+02  2.1533190E+02  2.3184175E+02  2.3482462E+02  2.6321183E+02  2.6337526E+02  6.9954899E+03  2.6337526E+02  2.6321188E+02  2.3482461E+02  2.3184175E+02  2.1533190E+02  1.2305081E+02  4.9191433E+00
  1.3231291E+02  2.2416884E+02  2.4061313E+02  2.4359738E+02  2.7152480E+02  2.7169166E+02  7.2773166E+03  2.7169166E+02  2.7152486E+02  2.4359737E+02  2.4061313E+02  2.2416884E+02  1.3231291E+02  5.0256139E+00
  1.4172573E+02  2.3316140E+02  2.4954151E+02  2.5252710E+02  2.7999065E+02  2.8016092E+02  7.5645015E+03  2.8016092E+02  2.7999071E+02  2.5252709E+02  2.4954151E+02  2.3316140E+02  1.4172573E+02  5.1326099E+00
  1.5128859E+02  2.4230867E+02  2.5862591E+02  2.6161282E+02  2.8860837E+02  2.8878205E+02  7.8572436E+03  2.8878205E+02  2.8860843E+02  2.6161281E+02  2.5862591E+02  2.4230867E+02  1.5128859E+02  5.2401374E+00
  1.6100076E+02  2.5160973E+02  2.6786534E+02  2.7085356E+02  2.9737692E+02  2.9755399E+02  8.1582950E+03  2.9755400E+02  2.9737698E+02  2.7085355E+02  2.6786534E+02  2.5160973E+02  1.6100076E+02  5.3482019E+00
  1.7086148E+02  2.6106361E+02  2.7725883E+02  2.8024833E+02  3.0629526E+02  3.0647573E+02  8.4645739E+03  3.0647574E+02  3.0629532E+02  2.8024832E+02  2.7725883E+02  2.6106361E+02  1.7086148E+02  5.4568096E+00
  1.8086996E+02  2.7066933E+02  2.8680533E+02  2.8979609E+02  3.1536232E+02  3.1554618E+02  8.7760174E+03  3.1554618E+02  3.1536239E+02  2.8979608E+02  2.8680533E+02  2.7066933E+02  1.8086996E+02  5.5659663E+00
  1.9102536E+02  2.8042588E+02  2.9650379E+02  2.9949580E+02  3.2457703E+02  3.2476427E+02  9.0925624E+03  3.2476427E+02  3.2457709E+02  2.9949579E+02  2.9650379E+02  2.8042588E+02  1.9102536E+02  5.6756781E+00
  0.0000000E+00  4.9000000E-09  3.0000030E-09  6.4247470E+00  5.4108929E+01  5.4108929E+01  1.8485693E+02  5.4108917E+01  5.4108927E+01  6.4247444E+00  3.0000030E-09  3.5000000E-09  0.0000000E+00  7.0619582E-01
  0.0000000E+00  4.9000006E-09  2.6406236E+00  8.5999265E+00  5.4361976E+01  5.4368193E+01  2.3808407E+02  5.4368182E+01  5.4361976E+01  8.5999236E+00  2.6406236E+00  3.5000011E-09  0.0000000E+00  7.7967294E-01
  0.0000000E+00  5.3000004E-09  5.3571940E+00  1.1049010E+01  5.4930362E+01  5.4940830E+01  2.9496915E+02  5.4940818E+01  5.4930363E+01  1.1049005E+01  5.3571940E+00  4.7000004E-09  0.0000000E+00  8.5449888E-01
  0.0000000E+00  5.3000012E-09  8.1474054E+00  1.3593721E+01  5.5926962E+01  5.5942361E+01  3.5476915E+02  5.5942346E+01  5.5926963E+01  1.3593716E+01  8.1474054E+00  4.7000015E-09  0.0000000E+00  9.2956746E-01
  0.0000000E+00  3.9000017E-09  1.1013097E+01  1.6245069E+01  5.7181757E+01  5.7202007E+01  4.1673809E+02  5.7201993E+01  5.7181760E+01  1.6245063E+01  1.1013097E+01  5.2000014E-09  0.0000000E+00  1.0048804E+00
  0.0000000E+00  4.5000009E-09  1.3954885E+01  1.9005501E+01  5.8658080E+01  5.8682761E+01  4.8152675E+02  5.8682744E+01  5.8658081E+01  1.9005495E+01  1.3954885E+01  4.2000011E-09  0.0000000E+00  1.0804394E+00
  0.0000000E+00  4.2000007E-09  1.6977689E+01  2.1842655E+01  6.0372313E+01  6.0401639E+01  5.4912951E+02  6.0401621E+01  6.0372314E+01  2.1842649E+01  1.6977689E+01  3.8000024E-09  0.0000000E+00  1.1562463E+00
  0.0000000E+00  9.4913187E-01  2.0015873E+01  2.4684378E+01  6.2179760E+01  6.2213664E+01  6.1829360E+02  6.2213647E+01  6.2179764E+01  2.4684372E+01  2.0015873E+01  9.4913187E-01  0.0000000E+00  1.2322918E+00
  0.0000000E+00  4.1448939E+00  2.2973299E+01  2.7458551E+01  6.4249667E+01  6.4284397E+01  6.8796880E+02  6.4284381E+01  6.4249671E+01  2.7458543E+01  2.2973299E+01  4.1448939E+00  0.0000000E+00  1.3085703E+00
  0.0000000E+00  7.4374421E+00  2.6037026E+01  3.0381377E+01  6.6667601E+01  6.6706318E+01  7.6205968E+02  6.6706300E+01  6.6667610E+01  3.0381370E+01  2.6037026E+01  7.4374421E+00  0.0000000E+00  1.3851146E+00
  0.0000000E+00  1.0840625E+01  2.9209020E+01  3.3432375E+01  6.9230863E+01  6.9273581E+01  8.4005173E+02  6.9273565E+01  6.9230871E+01  3.3432366E+01  2.9209020E+01  1.0840625E+01  0.0000000E+00  1.4619268E+00
  0.0000000E+00  1.4357003E+01  3.2486230E+01  3.6594372E+01  7.1932755E+01  7.1979434E+01  9.2201058E+02  7.1979416E+01  7.1932766E+01  3.6594364E+01  3.2486230E+01  1.4357003E+01  0.0000000E+00  1.5390090E+00
  0.0000000E+00  1.7986334E+01  3.5883117E+01  3.9863791E+01  7.4771075E+01  7.4821669E+01  1.0079543E+03  7.4821654E+01  7.4771087E+01  3.9863782E+01  3.5883117E+01  1.7986334E+01  0.0000000E+00  1.6163632E+00
  0.0000000E+00  2.1751197E+01  3.9411793E+01  4.3272441E+01  7.7744021E+01  7.7798497E+01  1.0987526E+03  7.7798482E+01  7.7744034E+01  4.3272432E+01  3.9411793E+01  2.1751197E+01  0.0000000E+00  1.6939915E+00
  0.0000000E+00  2.5644492E+01  4.3094110E+01  4.6813664E+01  8.0935983E+01  8.0992829E+01  1.1953437E+03  8.0992806E+01  8.0935991E+01  4.6813655E+01  4.3094110E+01  2.5644492E+01  0.0000000E+00  1.7718962E+00
  0.0000000E+00  2.9662932E+01  4.6909056E+01  5.0500075E+01  8.4292474E+01  8.4353487E+01  1.2971375E+03  8.4353468E+01  8.4292487E+01  5.0500066E+01  4.6909056E+01  2.9662932E+01  0.0000000E+00  1.8500791E+00
  0.0000000E+00  3.3807474E+01  5.0860019E+01  5.4308665E+01  8.7812138E+01  8.7876715E+01  1.4071429E+03  8.7876697E+01  8.7812155E+01  5.4308655E+01  5.0860019E+01  3.3807474E+01  0.0000000E+00  1.9285427E+00
  0.0000000E+00  3.8092067E+01  5.4942297E+01  5.8261199E+01  9.1487165E+01  9.1555596E+01  1.5231145E+03  9.1555581E+01  9.1487186E+01  5.8261189E+01  5.4942297E+01  3.8092067E+01  0.0000000E+00  2.0072894E+00
  0.0000000E+00  4.2520714E+01  5.9151425E+01  6.2382424E+01  9.5316120E+01  9.5388204E+01  1.6442434E+03  9.5388189E+01  9.5316143E+01  6.2382414E+01  5.9151425E+01  4.2520714E+01  0.0000000E+00  2.0863211E+00
  0.0000000E+00  4.7081897E+01  6.3529743E+01  6.6692563E+01  9.9285115E+01  9.9360823E+01  1.7713371E+03  9.9360809E+01  9.9285139E+01  6.6692552E+01  6.3529743E+01  4.7081897E+01  0.0000000E+00  2.1656403E+00
  0.0000000E+00  5.1775842E+01  6.8069576E+01  7.1138941E+01  1.0341267E+02  1.0349109E+02  1.9045639E+03  1.0349108E+02  1.0341270E+02  7.1138930E+01  6.8069576E+01  5.1775842E+01  0.0000000E+00  2.2452491E+00
  0.0000000E+00  5.6602643E+01  7.2742331E+01  7.5770279E+01  1.0769402E+02  1.0777596E+02  2.0433733E+03  1.0777595E+02  1.0769405E+02  7.5770268E+01  7.2742331E+01  5.6602643E+01  0.0000000E+00  2.3251500E+00
  0.0000000E+00  6.1562318E+01  7.7548196E+01  8.0576658E+01  1.1211399E+02  1.1219943E+02  2.1875237E+03  1.1219942E+02  1.1211402E+02  8.0576646E+01  7.7548196E+01  6.1562318E+01  0.0000000E+00  2.4053452E+00
  0.0000000E+00  6.6654758E+01  8.2540291E+01  8.5563228E+01  1.1667163E+02  1.1676055E+02  2.3370021E+03  1.1676054E+02  1.1667166E+02  8.5563216E+01  8.2540291E+01  6.6654758E+01  0.0000000E+00  2.4858382E+00
  0.0000000E+00  7.1879710E+01  8.7668410E+01  9.0692032E+01  1.2136580E+02  1.2145817E+02  2.4917866E+03  1.2145816E+02  1.2136583E+02  9.0692020E+01  8.7668410E+01  7.1879710E+01  0.0000000E+00  2.5666294E+00
  0.0000000E+00  7.7236889E+01  9.2932047E+01  9.5956285E+01  1.2619554E+02  1.2629134E+02  2.6518504E+03  1.2629133E+02  1.2619557E+02  9.5956273E+01  9.2932047E+01  7.7236889E+01  0.0000000E+00  2.6477223E+00
  1.0001065E-10  8.2725892E+01  9.8330601E+01  1.0135540E+02  1.3115981E+02  1.3125903E+02  2.8171597E+03  1.3125901E+02  1.3115984E+02  1.0135538E+02  9.8330601E+01  8.2725892E+01  1.0001065E-10  2.7291192E+00
  2.1690739E+00  8.8269262E+01  1.0378668E+02  1.0681292E+02  1.3618348E+02  1.3628891E+02  2.9848762E+03  1.3628890E+02  1.3618352E+02  1.0681290E+02  1.0378668E+02  8.8269262E+01  2.1690739E+00  2.8106890E+00
  8.2078659E+00  9.3815101E+01  1.0924823E+02  1.1227506E+02  1.4122053E+02  1.4132933E+02  3.1528884E+03  1.4132932E+02  1.4122057E+02  1.1227505E+02  1.0924823E+02  9.3815101E+01  8.2078659E+00  2.8923572E+00
  1.4371963E+01  9.9500379E+01  1.1485158E+02  1.1787897E+02  1.4639683E+02  1.4650898E+02  3.3260597E+03  1.4650897E+02  1.4639687E+02  1.1787895E+02  1.1485158E+02  9.9500379E+01  1.4371963E+01  2.9743957E+00
  2.0661916E+01  1.0532493E+02  1.2059644E+02  1.2362434E+02  1.5171186E+02  1.5182733E+02  3.5043592E+03  1.5182732E+02  1.5171190E+02  1.2362433E+02  1.2059644E+02  1.0532493E+02  2.0661916E+01  3.0568083E+00
  2.7078129E+01  1.1128848E+02  1.2648244E+02  1.2951082E+02  1.5716501E+02  1.5728381E+02  3.6877521E+03  1.5728380E+02  1.5716506E+02  1.2951081E+02  1.2648244E+02  1.1128848E+02  2.7078129E+01  3.1395988E+00
  3.3620910E+01  1.1739075E+02  1.3250918E+02  1.3553801E+02  1.6275569E+02  1.6287780E+02  3.8762017E+03  1.6287779E+02  1.6275574E+02  1.3553799E+02  1.3250918E+02  1.1739075E+02  3.3620910E+01  3.2227708E+00
  4.0290439E+01  1.2363132E+02  1.3867617E+02  1.4170541E+02  1.6848323E+02  1.6860863E+02  4.0696671E+03  1.6860862E+02  1.6848328E+02  1.4170539E+02  1.3867617E+02  1.2363132E+02  4.0290439E+01  3.3063285E+00
  4.7096509E+01  1.3000975E+02  1.4498285E+02  1.4801248E+02  1.7434692E+02  1.7447560E+02  4.2681055E+03  1.7447559E+02  1.7434697E+02  1.4801247E+02  1.4498285E+02  1.3000975E+02  4.7096509E+01  3.3902756E+00
  5.4036685E+01  1.3652552E+02  1.5142864E+02  1.5445863E+02  1.8040058E+02  1.8052874E+02  4.4714713E+03  1.8052873E+02  1.8040064E+02  1.5445862E+02  1.5142864E+02  1.3652552E+02  5.4036685E+01  3.4746163E+00
  6.1106923E+01  1.4317806E+02  1.5801288E+02  1.6104322E+02  1.8659136E+02  1.8672268E+02  4.6797174E+03  1.8672268E+02  1.8659142E+02  1.6104321E+02  1.5801288E+02  1.4317806E+02  6.1106923E+01  3.5593544E+00
  6.8306931E+01  1.4996675E+02  1.6473489E+02  1.6776555E+02  1.9291741E+02  1.9305188E+02  4.8927942E+03  1.9305188E+02  1.9291747E+02  1.6776554E+02  1.6473489E+02  1.4996675E+02  6.8306931E+01  3.6444943E+00
  7.5636366E+01  1.5689095E+02  1.7159395E+02  1.7462492E+02  1.9937792E+02  1.9951554E+02  5.1106521E+03  1.9951554E+02  1.9937798E+02  1.7462491E+02  1.7159395E+02  1.5689095E+02  7.5636366E+01  3.7300402E+00
  8.3094812E+01  1.6394994E+02  1.7858928E+02  1.8162055E+02  2.0597201E+02  2.0611277E+02  5.3332386E+03  2.0611277E+02  2.0597208E+02  1.8162054E+02  1.7858928E+02  1.6394994E+02  8.3094812E+01  3.8159962E+00
  9.0681793E+01  1.7114298E+02  1.8572009E+02  1.8875164E+02  2.1269879E+02  2.1284268E+02  5.5605007E+03  2.1284268E+02  2.1269886E+02  1.8875163E+02  1.8572009E+02  1.7114298E+02  9.0681793E+01  3.9023667E+00
  9.8396804E+01  1.7846931E+02  1.9298555E+02  1.9601737E+02  2.1955735E+02  2.1970436E+02  5.7936682E+03  2.1970436E+02  2.1955742E+02  1.9601735E+02  1.9298555E+02  1.7846931E+02  9.8396804E+01  3.9891563E+00
  1.0623927E+02  1.8592811E+02  2.0038478E+02  2.0341686E+02  2.2654675E+02  2.2669686E+02  6.0328301E+03  2.2669687E+02  2.2654682E+02  2.0341685E+02  2.0038478E+02  1.8592811E+02  1.0623927E+02  4.0763692E+00
  1.1420858E+02  1.9351855E+02  2.0791692E+02  2.1094924E+02  2.3366604E+02  2.3381925E+02  6.2765455E+03  2.3381925E+02  2.3366611E+02  2.1094923E+02  2.0791692E+02  1.9351855E+02  1.1420858E+02  4.1640101E+00
  1.2230409E+02  2.0123976E+02  2.1558104E+02  2.1861361E+02  2.4091424E+02  2.4107054E+02  6.5247576E+03  2.4107055E+02  2.4091431E+02  2.1861359E+02  2.1558104E+02  2.0123976E+02  1.2230409E+02  4.2520836E+00
  1.3052510E+02  2.0909084E+02  2.2337620E+02  2.2640901E+02  2.4829036E+02  2.4844975E+02  6.7774094E+03  2.4844976E+02  2.4829044E+02  2.2640899E+02  2.2337620E+02  2.0909084E+02  1.3052510E+02  4.3405944E+00
  1.3887092E+02  2.1707092E+02  2.3130148E+02  2.3433452E+02  2.5579368E+02  2.5595590E+02  7.0344437E+03  2.5595591E+02  2.5579375E+02  2.3433450E+02  2.3130148E+02  2.1707092E+02  1.3887092E+02  4.4295475E+00
  1.4734079E+02  2.2517905E+02  2.3935590E+02  2.4238917E+02  2.6349750E+02  2.6365371E+02  7.2958029E+03  2.6365372E+02  2.6349758E+02  2.4238915E+02  2.3935590E+02  2.2517905E+02  1.4734079E+02  4.5189473E+00
  1.5593394E+02  2.3341430E+02  2.4753848E+02  2.5057197E+02  2.7132765E+02  2.7148677E+02  7.5614291E+03  2.7148678E+02  2.7132773E+02  2.5057196E+02  2.4753848E+02  2.3341430E+02  1.5593394E+02  4.6087992E+00
  1.6464958E+02  2.4177570E+02  2.5584823E+02  2.5888195E+02  2.7928309E+02  2.7944511E+02  7.8312647E+03  2.7944512E+02  2.7928317E+02  2.5888193E+02  2.5584823E+02  2.4177570E+02  1.6464958E+02  4.6991079E+00
  0.0000000E+00  2.4000000E-09  2.8000027E-09  6.0360336E+00  4.6260485E+01  4.6260485E+01  1.6830385E+02  4.6260467E+01  4.6260481E+01  6.0360305E+00  2.8000027E-09  2.7000000E-09  0.0000000E+00  6.0465812E-01
  0.0000000E+00  2.4000004E-09  2.3165974E+00  7.9462062E+00  4.6622378E+01  4.6627249E+01  2.1459805E+02  4.6627232E+01  4.6622375E+01  7.9462026E+00  2.3165974E+00  2.7000005E-09  0.0000000E+00  6.6437978E-01
  0.0000000E+00  3.4000007E-09  4.6851163E+00  1.0076705E+01  4.7246886E+01  4.7256493E+01  2.6365654E+02  4.7256475E+01  4.7246885E+01  1.0076699E+01  4.6851163E+00  3.6000005E-09  0.0000000E+00  7.2558845E-01
  0.0000000E+00  3.8000005E-09  7.1062683E+00  1.2284293E+01  4.8091704E+01  4.8105895E+01  3.1439087E+02  4.8105877E+01  4.8091706E+01  1.2284286E+01  7.1062683E+00  3.8000005E-09  0.0000000E+00  7.8699546E-01
  0.0000000E+00  2.3000007E-09  9.5852827E+00  1.4565497E+01  4.9138440E+01  4.9157135E+01  3.6694089E+02  4.9157116E+01  4.9138443E+01  1.4565490E+01  9.5852827E+00  2.2000005E-09  0.0000000E+00  8.4860218E-01
  0.0000000E+00  3.4000006E-09  1.2124932E+01  1.6946169E+01  5.0351458E+01  5.0374566E+01  4.2180211E+02  5.0374547E+01  5.0351462E+01  1.6946162E+01  1.2124932E+01  3.0000007E-09  0.0000000E+00  9.1041008E-01
  0.0000000E+00  2.3000011E-09  1.4732662E+01  1.9388784E+01  5.1781671E+01  5.1808796E+01  4.7902627E+02  5.1808777E+01  5.1781677E+01  1.9388776E+01  1.4732662E+01  1.7000017E-09  0.0000000E+00  9.7242066E-01
  0.0000000E+00  8.1937426E-01  1.7350550E+01  2.1834215E+01  5.3453670E+01  5.3482309E+01  5.3768236E+02  5.3482290E+01  5.3453676E+01  2.1834207E+01  1.7350550E+01  8.1937426E-01  0.0000000E+00  1.0346260E+00
  0.0000000E+00  3.5817153E+00  1.9893628E+01  2.4216025E+01  5.5341236E+01  5.5373688E+01  5.9712152E+02  5.5373669E+01  5.5341244E+01  2.4216016E+01  1.9893628E+01  3.5817153E+00  0.0000000E+00  1.0970212E+00
  0.0000000E+00  6.4325919E+00  2.2543873E+01  2.6738101E+01  5.7385950E+01  5.7422086E+01  6.6011131E+02  5.7422066E+01  5.7385961E+01  2.6738092E+01  2.2543873E+01  6.4325919E+00  0.0000000E+00  1.1596337E+00
  0.0000000E+00  9.3758876E+00  2.5289781E+01  2.9363116E+01  5.9557518E+01  5.9597354E+01  7.2653942E+02  5.9597335E+01  5.9557531E+01  2.9363106E+01  2.5289781E+01  9.3758876E+00  0.0000000E+00  1.2224652E+00
  0.0000000E+00  1.2427385E+01  2.8130218E+01  3.2081376E+01  6.1849276E+01  6.1892764E+01  7.9631215E+02  6.1892745E+01  6.1849290E+01  3.2081365E+01  2.8130218E+01  1.2427385E+01  0.0000000E+00  1.2855174E+00
  0.0000000E+00  1.5583249E+01  3.1069033E+01  3.4891558E+01  6.4259441E+01  6.4306537E+01  8.6977486E+02  6.4306518E+01  6.4259457E+01  3.4891547E+01  3.1069033E+01  1.5583249E+01  0.0000000E+00  1.3487920E+00
  0.0000000E+00  1.8843774E+01  3.4142186E+01  3.7842620E+01  6.6798091E+01  6.6847664E+01  9.4840245E+02  6.6847640E+01  6.6798107E+01  3.7842609E+01  3.4142186E+01  1.8843774E+01  0.0000000E+00  1.4122908E+00
  0.0000000E+00  2.2213790E+01  3.7325725E+01  4.0913353E+01  6.9531637E+01  6.9584662E+01  1.0332622E+03  6.9584640E+01  6.9531654E+01  4.0913341E+01  3.7325725E+01  2.2213790E+01  0.0000000E+00  1.4760154E+00
  0.0000000E+00  2.5701661E+01  4.0627619E+01  4.4088918E+01  7.2382789E+01  7.2439231E+01  1.1242648E+03  7.2439208E+01  7.2382808E+01  4.4088906E+01  4.0627619E+01  2.5701661E+01  0.0000000E+00  1.5399676E+00
  0.0000000E+00  2.9306229E+01  4.4037778E+01  4.7394120E+01  7.5365545E+01  7.5425374E+01  1.2196697E+03  7.5425357E+01  7.5365570E+01  4.7394108E+01  4.4037778E+01  2.9306229E+01  0.0000000E+00  1.6041491E+00
  0.0000000E+00  3.3023579E+01  4.7603410E+01  5.0883826E+01  7.8520645E+01  7.8584096E+01  1.3198213E+03  7.8584079E+01  7.8520674E+01  5.0883813E+01  4.7603410E+01  3.3023579E+01  0.0000000E+00  1.6685622E+00
  0.0000000E+00  3.6854138E+01  5.1291825E+01  5.4494365E+01  8.1798282E+01  8.1865057E+01  1.4252416E+03  8.1865041E+01  8.1798314E+01  5.4494353E+01  5.1291825E+01  3.6854138E+01  0.0000000E+00  1.7332083E+00
  0.0000000E+00  4.0798189E+01  5.5094428E+01  5.8216756E+01  8.5208389E+01  8.5277381E+01  1.5357326E+03  8.5277366E+01  8.5208423E+01  5.8216743E+01  5.5094428E+01  4.0798189E+01  0.0000000E+00  1.7980893E+00
  0.0000000E+00  4.4855919E+01  5.9029562E+01  6.2097002E+01  8.8759094E+01  8.8831292E+01  1.6508374E+03  8.8831277E+01  8.8759130E+01  6.2096988E+01  5.9029562E+01  4.4855919E+01  0.0000000E+00  1.8632073E+00
  0.0000000E+00  4.9027352E+01  6.3104860E+01  6.6170972E+01  9.2430387E+01  9.2505763E+01  1.7705515E+03  9.2505750E+01  9.2430425E+01  6.6170958E+01  6.3104860E+01  4.9027352E+01  0.0000000E+00  1.9285639E+00
  0.0000000E+00  5.3312419E+01  6.7297376E+01  7.0362695E+01  9.6221283E+01  9.6299813E+01  1.8948626E+03  9.6299800E+01  9.6221323E+01  7.0362681E+01  6.7297376E+01  5.3312419E+01  0.0000000E+00  1.9941613E+00
  0.0000000E+00  5.7710947E+01  7.1606702E+01  7.4671204E+01  1.0013083E+02  1.0021248E+02  2.0237509E+03  1.0021247E+02  1.0013087E+02  7.4671189E+01  7.1606702E+01  5.7710947E+01  0.0000000E+00  2.0600021E+00
  0.0000000E+00  6.2222666E+01  7.6032348E+01  7.9096008E+01  1.0415794E+02  1.0424270E+02  2.1571903E+03  1.0424269E+02  1.0415798E+02  7.9095993E+01  7.6032348E+01  6.2222666E+01  0.0000000E+00  2.1260867E+00
  0.0000000E+00  6.6847232E+01  8.0573771E+01  8.3636572E+01  1.0830164E+02  1.0838949E+02  2.2951488E+03  1.0838948E+02  1.0830169E+02  8.3636557E+01  8.0573771E+01  6.6847232E+01  0.0000000E+00  2.1924179E+00
  9.1997725E-15  7.1584221E+01  8.5230373E+01  8.8292298E+01  1.1256094E+02  1.1265184E+02  2.4375895E+03  1.1265183E+02  1.1256099E+02  8.8292282E+01  8.5230373E+01  7.1584221E+01  9.1997725E-15  2.2589979E+00
  1.8736959E+00  7.6367970E+01  8.9936546E+01  9.2998385E+01  1.1687217E+02  1.1696847E+02  2.5820324E+03  1.1696846E+02  1.1687222E+02  9.2998370E+01  8.9936546E+01  7.6367970E+01  1.8736959E+00  2.3257177E+00
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  7.9545510E-15  6.1864840E+01  7.3760361E+01  7.6829466E+01  9.6010836E+01  9.6092273E+01  2.1068124E+03  9.6092265E+01  9.6010903E+01  7.6829447E+01  7.3760361E+01  6.1864840E+01  7.9545510E-15  1.8602525E+00
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  6.1301554E+00  7.0116692E+01  8.1876982E+01  8.4942789E+01  1.0342318E+02  1.0351175E+02  2.3554620E+03  1.0351175E+02  1.0342325E+02  8.4942769E+01  8.1876982E+01  7.0116692E+01  6.1301554E+00  1.9686570E+00
  1.0733110E+01  7.4345261E+01  8.6040994E+01  8.9104896E+01  1.0723770E+02  1.0732882E+02  2.4835184E+03  1.0732881E+02  1.0723777E+02  8.9104876E+01  8.6040994E+01  7.4345261E+01  1.0733110E+01  2.0231357E+00
  1.5429046E+01  7.8674487E+01  9.0307438E+01  9.3369455E+01  1.1115364E+02  1.1124728E+02  2.6152506E+03  1.1124728E+02  1.1115371E+02  9.3369435E+01  9.0307438E+01  7.8674487E+01  1.5429046E+01  2.0778627E+00
  2.0217969E+01  8.3103962E+01  9.4675819E+01  9.7735971E+01  1.1520398E+02  1.1529777E+02  2.7506202E+03  1.1529777E+02  1.1520407E+02  9.7735951E+01  9.4675819E+01  8.3103962E+01  2.0217969E+01  2.1328408E+00
  2.5099811E+01  8.7633252E+01  9.9145622E+01  1.0220393E+02  1.1936070E+02  1.1945693E+02  2.8895883E+03  1.1945693E+02  1.1936080E+02  1.0220391E+02  9.9145622E+01  8.7633252E+01  2.5099811E+01  2.1880723E+00
  3.0074422E+01  9.2261846E+01  1.0371626E+02  1.0677275E+02  1.2361779E+02  1.2371642E+02  3.0330950E+03  1.2371643E+02  1.2361788E+02  1.0677273E+02  1.0371626E+02  9.2261846E+01  3.0074422E+01  2.2435599E+00
  3.5141582E+01  9.6989198E+01  1.0838712E+02  1.1144180E+02  1.2797447E+02  1.2807549E+02  3.1808916E+03  1.2807550E+02  1.2797457E+02  1.1144178E+02  1.0838712E+02  9.6989198E+01  3.5141582E+01  2.2993062E+00
  4.0301013E+01  1.0181472E+02  1.1315754E+02  1.1621044E+02  1.3242995E+02  1.3253335E+02  3.3321868E+03  1.3253336E+02  1.3243005E+02  1.1621042E+02  1.1315754E+02  1.0181472E+02  4.0301013E+01  2.3553139E+00
  4.5552379E+01  1.0673779E+02  1.1802685E+02  1.2107799E+02  1.3698342E+02  1.3708919E+02  3.4869348E+03  1.3708920E+02  1.3698352E+02  1.2107797E+02  1.1802685E+02  1.0673779E+02  4.5552379E+01  2.4115856E+00
  5.0895289E+01  1.1175773E+02  1.2299431E+02  1.2604371E+02  1.4163404E+02  1.4174216E+02  3.6450890E+03  1.4174217E+02  1.4163415E+02  1.2604369E+02  1.2299431E+02  1.1175773E+02  5.0895289E+01  2.4681242E+00
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  6.1853991E+01  1.2211520E+02  1.3322077E+02  1.3626677E+02  1.5125040E+02  1.5135867E+02  3.9714277E+03  1.5135868E+02  1.5125051E+02  1.3626674E+02  1.3322077E+02  1.2211520E+02  6.1853991E+01  2.5820132E+00
  6.7468787E+01  1.2746355E+02  1.3847822E+02  1.4152254E+02  1.5623712E+02  1.5634762E+02  4.1395160E+03  1.5634763E+02  1.5623724E+02  1.4152252E+02  1.3847822E+02  1.2746355E+02  6.7468787E+01  2.6393692E+00
  7.3173163E+01  1.3290743E+02  1.4383074E+02  1.4687342E+02  1.6131863E+02  1.6143133E+02  4.3108189E+03  1.6143134E+02  1.6131875E+02  1.4687339E+02  1.4383074E+02  1.3290743E+02  7.3173163E+01  2.6970037E+00
  7.8966537E+01  1.3844605E+02  1.4927753E+02  1.5231858E+02  1.6649400E+02  1.6660890E+02  4.4852876E+03  1.6660892E+02  1.6649413E+02  1.5231855E+02  1.4927753E+02  1.3844605E+02  7.8966537E+01  2.7549194E+00
  8.4848303E+01  1.4407856E+02  1.5481774E+02  1.5785719E+02  1.7176235E+02  1.7187944E+02  4.6628732E+03  1.7187946E+02  1.7176248E+02  1.5785716E+02  1.5481774E+02  1.4407856E+02  8.4848303E+01  2.8131194E+00
  9.0817829E+01  1.4980413E+02  1.6045055E+02  1.6348841E+02  1.7712275E+02  1.7724202E+02  4.8435268E+03  1.7724204E+02  1.7712288E+02  1.6348838E+02  1.6045055E+02  1.4980413E+02  9.0817829E+01  2.8716068E+00
  9.6874452E+01  1.5562190E+02  1.6617506E+02  1.6921136E+02  1.8257428E+02  1.8269572E+02  5.0271991E+03  1.8269574E+02  1.8257442E+02  1.6921134E+02  1.6617506E+02  1.5562190E+02  9.6874452E+01  2.9303849E+00
  1.0301751E+02  1.6153100E+02  1.7199045E+02  1.7502522E+02  1.8811604E+02  1.8823963E+02  5.2138420E+03  1.8823965E+02  1.8811617E+02  1.7502519E+02  1.7199045E+02  1.6153100E+02  1.0301751E+02  2.9894566E+00
  1.0924631E+02  1.6753058E+02  1.7789584E+02  1.8092909E+02  1.9375849E+02  1.9388423E+02  5.4034069E+03  1.9388425E+02  1.9375863E+02  1.8092907E+02  1.7789584E+02  1.6753058E+02  1.0924631E+02  3.0488254E+00
  1.1556013E+02  1.7361975E+02  1.8394108E+02  1.8696591E+02  1.9970134E+02  1.9980029E+02  5.5958453E+03  1.9980031E+02  1.9970148E+02  1.8696589E+02  1.8394108E+02  1.7361975E+02  1.1556013E+02  3.1084945E+00
  1.2195826E+02  1.7979762E+02  1.9008185E+02  1.9310522E+02  2.0575644E+02  2.0585685E+02  5.7911092E+03  2.0585687E+02  2.0575658E+02  1.9310520E+02  1.9008185E+02  1.7979762E+02  1.2195826E+02  3.1684671E+00
  0.0000000E+00  2.9000000E-09  2.8000022E-09  5.3122491E+00  3.2740860E+01  3.2740860E+01  1.4011311E+02  3.2740836E+01  3.2740857E+01  5.3122445E+00  2.8000022E-09  2.5000000E-09  0.0000000E+00  4.4306711E-01
  0.0000000E+00  2.9000007E-09  1.7709803E+00  6.7657947E+00  3.3013007E+01  3.3017199E+01  1.7380333E+02  3.3017175E+01  3.3013006E+01  6.7657892E+00  1.7709803E+00  2.5000005E-09  0.0000000E+00  4.8202225E-01
  0.0000000E+00  3.2000006E-09  3.5589657E+00  8.3633666E+00  3.3401602E+01  3.3409757E+01  2.0903439E+02  3.3409731E+01  3.3401605E+01  8.3633575E+00  3.5589657E+00  3.7000006E-09  0.0000000E+00  5.2199979E-01
  0.0000000E+00  3.6000005E-09  5.3728089E+00  1.0010569E+01  3.3971110E+01  3.3983060E+01  2.4524196E+02  3.3983033E+01  3.3971116E+01  1.0010559E+01  5.3728089E+00  3.4000006E-09  0.0000000E+00  5.6236005E-01
  0.0000000E+00  3.1000005E-09  7.2258803E+00  1.1689562E+01  3.4685732E+01  3.4701323E+01  2.8266733E+02  3.4701297E+01  3.4685740E+01  1.1689551E+01  7.2258803E+00  2.8000006E-09  0.0000000E+00  6.0285161E-01
  0.0000000E+00  4.4000005E-09  9.1222048E+00  1.3444919E+01  3.5531055E+01  3.5550156E+01  3.2170282E+02  3.5550130E+01  3.5531066E+01  1.3444907E+01  9.1222048E+00  3.1000009E-09  0.0000000E+00  6.4347546E-01
  0.0000000E+00  2.0000009E-09  1.1072209E+01  1.5245981E+01  3.6742583E+01  3.6763409E+01  3.6248818E+02  3.6763386E+01  3.6742600E+01  1.5245969E+01  1.1072209E+01  1.9000009E-09  0.0000000E+00  6.8423248E-01
  0.0000000E+00  6.1157396E-01  1.3023567E+01  1.7046865E+01  3.8089263E+01  3.8113144E+01  4.0456852E+02  3.8113121E+01  3.8089282E+01  1.7046852E+01  1.3023567E+01  6.1157396E-01  0.0000000E+00  7.2511714E-01
  0.0000000E+00  2.6783959E+00  1.4918894E+01  1.8804781E+01  3.9427233E+01  3.9454093E+01  4.4742841E+02  3.9454070E+01  3.9427256E+01  1.8804767E+01  1.4918894E+01  2.6783959E+00  0.0000000E+00  7.6612561E-01
  0.0000000E+00  4.8144815E+00  1.6881077E+01  2.0671327E+01  4.0891318E+01  4.0920999E+01  4.9291358E+02  4.0920976E+01  4.0891346E+01  2.0671312E+01  1.6881077E+01  4.8144815E+00  0.0000000E+00  8.0727692E-01
  0.0000000E+00  7.0249912E+00  1.8920131E+01  2.2606284E+01  4.2455159E+01  4.2487665E+01  5.4169843E+02  4.2487642E+01  4.2455190E+01  2.2606268E+01  1.8920131E+01  7.0249912E+00  0.0000000E+00  8.4857223E-01
  0.0000000E+00  9.3148080E+00  2.1049561E+01  2.4626564E+01  4.4112872E+01  4.4148140E+01  5.9383286E+02  4.4148118E+01  4.4112907E+01  2.4626548E+01  2.1049561E+01  9.3148080E+00  0.0000000E+00  8.9001262E-01
  0.0000000E+00  1.1684069E+01  2.3263283E+01  2.6742056E+01  4.5862904E+01  4.5900875E+01  6.5092370E+02  4.5900854E+01  4.5862941E+01  2.6742040E+01  2.3263283E+01  1.1684069E+01  0.0000000E+00  9.3159923E-01
  0.0000000E+00  1.4133580E+01  2.5575572E+01  2.8971924E+01  4.7740050E+01  4.7779735E+01  7.1169801E+02  4.7779706E+01  4.7740082E+01  2.8971908E+01  2.5575572E+01  1.4133580E+01  0.0000000E+00  9.7333325E-01
  0.0000000E+00  1.6664378E+01  2.7982919E+01  3.1289986E+01  4.9750211E+01  4.9791623E+01  7.7589579E+02  4.9791595E+01  4.9750248E+01  3.1289969E+01  2.7982919E+01  1.6664378E+01  0.0000000E+00  1.0152158E+00
  0.0000000E+00  1.9277245E+01  3.0477744E+01  3.3728079E+01  5.1864902E+01  5.1908657E+01  8.4395984E+02  5.1908632E+01  5.1864944E+01  3.3728061E+01  3.0477744E+01  1.9277245E+01  0.0000000E+00  1.0572479E+00
  0.0000000E+00  2.1972764E+01  3.3075212E+01  3.6261345E+01  5.4071394E+01  5.4117556E+01  9.1581605E+02  5.4117532E+01  5.4071439E+01  3.6261326E+01  3.3075212E+01  2.1972764E+01  0.0000000E+00  1.0994309E+00
  0.0000000E+00  2.4751375E+01  3.5764500E+01  3.8890668E+01  5.6367056E+01  5.6415590E+01  9.9112222E+02  5.6415567E+01  5.6367105E+01  3.8890649E+01  3.5764500E+01  2.4751375E+01  0.0000000E+00  1.1417660E+00
  0.0000000E+00  2.7613333E+01  3.8540963E+01  4.1622217E+01  5.8750899E+01  5.8801769E+01  1.0698843E+03  5.8801747E+01  5.8750951E+01  4.1622197E+01  3.8540963E+01  2.7613333E+01  0.0000000E+00  1.1842545E+00
  0.0000000E+00  3.0558757E+01  4.1404429E+01  4.4482037E+01  6.1251270E+01  6.1304486E+01  1.1520990E+03  6.1304472E+01  6.1251334E+01  4.4482017E+01  4.1404429E+01  3.0558757E+01  0.0000000E+00  1.2268974E+00
  0.0000000E+00  3.3587672E+01  4.4354667E+01  4.7428691E+01  6.3873062E+01  6.3928533E+01  1.2377561E+03  6.3928520E+01  6.3873129E+01  4.7428671E+01  4.4354667E+01  3.3587672E+01  0.0000000E+00  1.2696962E+00
  0.0000000E+00  3.6699971E+01  4.7391334E+01  5.0461838E+01  6.6584939E+01  6.6642635E+01  1.3268371E+03  6.6642623E+01  6.6585009E+01  5.0461816E+01  4.7391334E+01  3.6699971E+01  0.0000000E+00  1.3126519E+00
  0.0000000E+00  3.9895457E+01  5.0514025E+01  5.3581066E+01  6.9385909E+01  6.9445802E+01  1.4193179E+03  6.9445792E+01  6.9385984E+01  5.3581044E+01  5.0514025E+01  3.9895457E+01  0.0000000E+00  1.3557660E+00
  0.0000000E+00  4.3173849E+01  5.3722271E+01  5.6785912E+01  7.2275009E+01  7.2337071E+01  1.5151691E+03  7.2337062E+01  7.2275087E+01  5.6785890E+01  5.3722271E+01  4.3173849E+01  0.0000000E+00  1.3990402E+00
  0.0000000E+00  4.6534789E+01  5.7015538E+01  6.0075833E+01  7.5251189E+01  7.5315396E+01  1.6143564E+03  7.5315387E+01  7.5251271E+01  6.0075810E+01  5.7015538E+01  4.6534789E+01  0.0000000E+00  1.4424747E+00
  0.0000000E+00  4.9977852E+01  6.0393247E+01  6.3450252E+01  7.8313484E+01  7.8379810E+01  1.7168421E+03  7.8379803E+01  7.8313569E+01  6.3450229E+01  6.0393247E+01  4.9977852E+01  0.0000000E+00  1.4860714E+00
  6.8826329E-15  5.3502554E+01  6.3854773E+01  6.6908543E+01  8.1460899E+01  8.1529322E+01  1.8225848E+03  8.1529316E+01  8.1460989E+01  6.6908520E+01  6.3854773E+01  5.3502554E+01  6.8826329E-15  1.5298317E+00
  1.4017696E+00  5.7061982E+01  6.7353246E+01  7.0404421E+01  8.4647956E+01  8.4720117E+01  1.9296911E+03  8.4720113E+01  8.4648049E+01  7.0404397E+01  6.7353246E+01  5.7061982E+01  1.4017696E+00  1.5736818E+00
  5.3029256E+00  6.0624977E+01  7.0857399E+01  7.3905551E+01  8.7846895E+01  8.7921104E+01  2.0367451E+03  8.7921100E+01  8.7846991E+01  7.3905527E+01  7.0857399E+01  6.0624977E+01  5.3029256E+00  1.6175792E+00
  9.2826787E+00  6.4273908E+01  7.4449151E+01  7.7494323E+01  9.1160024E+01  9.1234432E+01  2.1472976E+03  9.1234439E+01  9.1160134E+01  7.7494298E+01  7.4449151E+01  6.4273908E+01  9.2826787E+00  1.6616759E+00
  1.3341026E+01  6.8008365E+01  7.8128005E+01  8.1170241E+01  9.4566218E+01  9.4642585E+01  2.2619977E+03  9.4642594E+01  9.4566332E+01  8.1170216E+01  7.8128005E+01  6.8008365E+01  1.3341026E+01  1.7059737E+00
  1.7477882E+01  7.1827898E+01  8.1893437E+01  8.4932779E+01  9.8059177E+01  9.8137487E+01  2.3797885E+03  9.8137497E+01  9.8059294E+01  8.4932754E+01  8.1893437E+01  7.1827898E+01  1.7477882E+01  1.7504749E+00
  2.1693098E+01  7.5742079E+01  8.5744882E+01  8.8781373E+01  1.0163817E+02  1.0171841E+02  2.5006300E+03  1.0171842E+02  1.0163829E+02  8.8781347E+01  8.5744882E+01  7.5742079E+01  2.1693098E+01  1.7951814E+00
  2.5986456E+01  7.9759694E+01  8.9681736E+01  9.2715418E+01  1.0530245E+02  1.0538459E+02  2.6244814E+03  1.0538461E+02  1.0530257E+02  9.2715391E+01  8.9681736E+01  7.9759694E+01  2.5986456E+01  1.8400955E+00
  3.0357677E+01  8.3862243E+01  9.3703357E+01  9.6734270E+01  1.0905121E+02  1.0913525E+02  2.7512999E+03  1.0913527E+02  1.0905134E+02  9.6734244E+01  9.3703357E+01  8.3862243E+01  3.0357677E+01  1.8852191E+00
  3.4806442E+01  8.8049094E+01  9.7809102E+01  1.0083729E+02  1.1288861E+02  1.1297144E+02  2.8810432E+03  1.1297146E+02  1.1288874E+02  1.0083726E+02  9.7809102E+01  8.8049094E+01  3.4806442E+01  1.9305544E+00
  3.9332376E+01  9.2319566E+01  1.0199828E+02  1.0502377E+02  1.1684383E+02  1.1692846E+02  3.0136672E+03  1.1692848E+02  1.1684396E+02  1.0502375E+02  1.0199828E+02  9.2319566E+01  3.9332376E+01  1.9761037E+00
  4.3935062E+01  9.6672964E+01  1.0627017E+02  1.0929302E+02  1.2088207E+02  1.2096849E+02  3.1491277E+03  1.2096851E+02  1.2088221E+02  1.0929299E+02  1.0627017E+02  9.6672964E+01  4.3935062E+01  2.0218693E+00
  4.8614049E+01  1.0110857E+02  1.1062406E+02  1.1364430E+02  1.2500250E+02  1.2509070E+02  3.2873798E+03  1.2509072E+02  1.2500265E+02  1.1364427E+02  1.1062406E+02  1.0110857E+02  4.8614049E+01  2.0678533E+00
  5.3368846E+01  1.0562565E+02  1.1505920E+02  1.1807686E+02  1.2920428E+02  1.2929424E+02  3.4283787E+03  1.2929426E+02  1.2920443E+02  1.1807683E+02  1.1505920E+02  1.0562565E+02  5.3368846E+01  2.1140581E+00
  5.8198933E+01  1.1022344E+02  1.1957481E+02  1.2258995E+02  1.3349569E+02  1.3358741E+02  3.5720791E+03  1.3358744E+02  1.3349585E+02  1.2258992E+02  1.1957481E+02  1.1022344E+02  5.8198933E+01  2.1604860E+00
  6.3103761E+01  1.1490118E+02  1.2420538E+02  1.2721127E+02  1.3790067E+02  1.3799413E+02  3.7184356E+03  1.3799416E+02  1.3790083E+02  1.2721124E+02  1.2420538E+02  1.1490118E+02  6.3103761E+01  2.2071395E+00
  6.8082768E+01  1.1965811E+02  1.2892383E+02  1.3192727E+02  1.4238553E+02  1.4248072E+02  3.8674035E+03  1.4248075E+02  1.4238570E+02  1.3192724E+02  1.2892383E+02  1.1965811E+02  6.8082768E+01  2.2540209E+00
  7.3135354E+01  1.2449343E+02  1.3372148E+02  1.3672251E+02  1.4694937E+02  1.4704628E+02  4.0189374E+03  1.4704631E+02  1.4694954E+02  1.3672248E+02  1.3372148E+02  1.2449343E+02  7.3135354E+01  2.3011327E+00
  7.8260912E+01  1.2940633E+02  1.3859750E+02  1.4159615E+02  1.5159130E+02  1.5168991E+02  4.1729922E+03  1.5168995E+02  1.5159147E+02  1.4159611E+02  1.3859750E+02  1.2940633E+02  7.8260912E+01  2.3484775E+00
  8.3458809E+01  1.3439604E+02  1.4355106E+02  1.4654736E+02  1.5631042E+02  1.5641074E+02  4.3295234E+03  1.5641078E+02  1.5631060E+02  1.4654733E+02  1.4355106E+02  1.3439604E+02  8.3458809E+01  2.3960578E+00
  8.8728401E+01  1.3946172E+02  1.4858132E+02  1.5157531E+02  1.6123628E+02  1.6130667E+02  4.4884863E+03  1.6130670E+02  1.6123646E+02  1.5157528E+02  1.4858132E+02  1.3946172E+02  8.8728401E+01  2.4438761E+00
  9.4069031E+01  1.4460257E+02  1.5368744E+02  1.5667917E+02  1.6627362E+02  1.6634503E+02  4.6498371E+03  1.6634506E+02  1.6627380E+02  1.5667913E+02  1.5368744E+02  1.4460257E+02  9.4069031E+01  2.4919351E+00
  9.9480027E+01  1.4981776E+02  1.5886859E+02  1.6185807E+02  1.7138756E+02  1.7145998E+02  4.8135317E+03  1.7146002E+02  1.7138774E+02  1.6185804E+02  1.5886859E+02  1.4981776E+02  9.9480027E+01  2.5402375E+00
  1.0496071E+02  1.5510649E+02  1.6412391E+02  1.6711119E+02  1.7657719E+02  1.7665062E+02  4.9795267E+03  1.7665065E+02  1.7657737E+02  1.6711115E+02  1.6412391E+02  1.5510649E+02  1.0496071E+02  2.5887860E+00
  0.0000000E+00  3.3000000E-09  2.8000019E-09  4.9667489E+00  2.5690312E+01  2.5690312E+01  1.2817800E+02  2.5690282E+01  2.5690308E+01  4.9667431E+00  2.8000019E-09  2.9000000E-09  0.0000000E+00  3.7914269E-01
  0.0000000E+00  3.3000006E-09  1.5412913E+00  6.2265433E+00  2.6284189E+01  2.6287581E+01  1.5688794E+02  2.6287550E+01  2.6284188E+01  6.2265366E+00  1.5412913E+00  2.9000004E-09  0.0000000E+00  4.1095131E-01
  0.0000000E+00  4.4000003E-09  3.0913778E+00  7.6018344E+00  2.6667446E+01  2.6674022E+01  1.8633496E+02  2.6673990E+01  2.6667450E+01  7.6018232E+00  3.0913778E+00  3.7000003E-09  0.0000000E+00  4.4303035E-01
  0.0000000E+00  3.4000007E-09  4.6605656E+00  9.0172839E+00  2.7195798E+01  2.7205406E+01  2.1658159E+02  2.7205374E+01  2.7195806E+01  9.0172717E+00  4.6605656E+00  4.3000005E-09  0.0000000E+00  4.7572312E-01
  0.0000000E+00  3.2000006E-09  6.2570762E+00  1.0456560E+01  2.7847332E+01  2.7859837E+01  2.4789162E+02  2.7859805E+01  2.7847343E+01  1.0456547E+01  6.2570762E+00  3.4000006E-09  0.0000000E+00  5.0852237E-01
  0.0000000E+00  3.6000006E-09  7.8931520E+00  1.1953516E+01  2.8735696E+01  2.8750032E+01  2.8057643E+02  2.8750004E+01  2.8735714E+01  1.1953502E+01  7.8931520E+00  3.2000009E-09  0.0000000E+00  5.4142890E-01
  0.0000000E+00  2.8000004E-09  9.5710496E+00  1.3496688E+01  2.9844294E+01  2.9860906E+01  3.1481297E+02  2.9860878E+01  2.9844317E+01  1.3496673E+01  9.5710496E+00  1.7000007E-09  0.0000000E+00  5.7444343E-01
  0.0000000E+00  5.2856643E-01  1.1248485E+01  1.5039243E+01  3.1021742E+01  3.1040529E+01  3.5041842E+02  3.1040503E+01  3.1021770E+01  1.5039228E+01  1.1248485E+01  5.2856643E-01  0.0000000E+00  6.0756132E-01
  0.0000000E+00  2.3152217E+00  1.2876728E+01  1.6548506E+01  3.2205887E+01  3.2226939E+01  3.8733811E+02  3.2226912E+01  3.2205920E+01  1.6548488E+01  1.2876728E+01  2.3152217E+00  0.0000000E+00  6.4077913E-01
  0.0000000E+00  4.1645726E+00  1.4574110E+01  1.8151469E+01  3.3499868E+01  3.3523155E+01  4.2663070E+02  3.3523129E+01  3.3499906E+01  1.8151450E+01  1.4574110E+01  4.1645726E+00  0.0000000E+00  6.7411280E-01
  0.0000000E+00  6.0787827E+00  1.6344989E+01  1.9828550E+01  3.4879269E+01  3.4904755E+01  4.6836498E+02  3.4904730E+01  3.4879311E+01  1.9828531E+01  1.6344989E+01  6.0787827E+00  0.0000000E+00  7.0756324E-01
  0.0000000E+00  8.0595665E+00  1.8188337E+01  2.1591690E+01  3.6339379E+01  3.6367015E+01  5.1456836E+02  3.6366991E+01  3.6339426E+01  2.1591671E+01  1.8188337E+01  8.0595665E+00  0.0000000E+00  7.4113255E-01
  0.0000000E+00  1.0108351E+01  2.0120690E+01  2.3434360E+01  3.7878930E+01  3.7908669E+01  5.6396878E+02  3.7908646E+01  3.7878981E+01  2.3434340E+01  2.0120690E+01  1.0108351E+01  0.0000000E+00  7.7482170E-01
  0.0000000E+00  1.2226299E+01  2.2128925E+01  2.5385991E+01  3.9543144E+01  3.9574127E+01  6.1646414E+02  3.9574096E+01  3.9543191E+01  2.5385970E+01  2.2128925E+01  1.2226299E+01  0.0000000E+00  8.0863037E-01
  0.0000000E+00  1.4414281E+01  2.4223526E+01  2.7424884E+01  4.1295898E+01  4.1328751E+01  6.7230887E+02  4.1328723E+01  4.1295952E+01  2.7424863E+01  2.4223526E+01  1.4414281E+01  0.0000000E+00  8.4255952E-01
  0.0000000E+00  1.6672982E+01  2.6395600E+01  2.9545597E+01  4.3132882E+01  4.3167662E+01  7.3129430E+02  4.3167635E+01  4.3132940E+01  2.9545575E+01  2.6395600E+01  1.6672982E+01  0.0000000E+00  8.7661005E-01
  0.0000000E+00  1.9002872E+01  2.8642877E+01  3.1740143E+01  4.5047002E+01  4.5083677E+01  7.9327487E+02  4.5083651E+01  4.5047064E+01  3.1740120E+01  2.8642877E+01  1.9002872E+01  0.0000000E+00  9.1078284E-01
  0.0000000E+00  2.1404259E+01  3.0965334E+01  3.4024426E+01  4.7037385E+01  4.7075926E+01  8.5825724E+02  4.7075902E+01  4.7037452E+01  3.4024403E+01  3.0965334E+01  2.1404259E+01  0.0000000E+00  9.4507918E-01
  0.0000000E+00  2.3877323E+01  3.3362867E+01  3.6416692E+01  4.9103186E+01  4.9143566E+01  9.2623959E+02  4.9143543E+01  4.9103258E+01  3.6416668E+01  3.3362867E+01  2.3877323E+01  0.0000000E+00  9.7949980E-01
  0.0000000E+00  2.6422100E+01  3.5835249E+01  3.8883931E+01  5.1243539E+01  5.1285730E+01  9.9721124E+02  5.1285709E+01  5.1243615E+01  3.8883907E+01  3.5835249E+01  2.6422100E+01  0.0000000E+00  1.0140458E+00
  0.0000000E+00  2.9038520E+01  3.8382181E+01  4.1425840E+01  5.3484177E+01  5.3527839E+01  1.0711548E+03  5.3527828E+01  5.3484268E+01  4.1425814E+01  3.8382181E+01  2.9038520E+01  0.0000000E+00  1.0487181E+00
  0.0000000E+00  3.1726403E+01  4.1003275E+01  4.4042024E+01  5.5836115E+01  5.5881503E+01  1.1480465E+03  5.5881494E+01  5.5836210E+01  4.4041998E+01  4.1003275E+01  3.1726403E+01  0.0000000E+00  1.0835178E+00
  0.0000000E+00  3.4485514E+01  4.3698111E+01  4.6732059E+01  5.8264048E+01  5.8311140E+01  1.2278585E+03  5.8311133E+01  5.8264148E+01  4.6732032E+01  4.3698111E+01  3.4485514E+01  0.0000000E+00  1.1184459E+00
  0.0000000E+00  3.7315522E+01  4.6466192E+01  4.9495446E+01  6.0767076E+01  6.0815851E+01  1.3105580E+03  6.0815846E+01  6.0767181E+01  4.9495419E+01  4.6466192E+01  3.7315522E+01  0.0000000E+00  1.1535040E+00
  0.0000000E+00  4.0216013E+01  4.9306946E+01  5.2331603E+01  6.3344210E+01  6.3394647E+01  1.3961077E+03  6.3394643E+01  6.3344319E+01  5.2331575E+01  4.9306946E+01  4.0216013E+01  0.0000000E+00  1.1886921E+00
  0.0000000E+00  4.3186528E+01  5.2219778E+01  5.5239935E+01  6.5994542E+01  6.6046622E+01  1.4844680E+03  6.6046620E+01  6.5994657E+01  5.5239907E+01  5.2219778E+01  4.3186528E+01  0.0000000E+00  1.2240118E+00
  5.9495606E-15  4.6238031E+01  5.5204074E+01  5.8219822E+01  6.8717167E+01  6.8770870E+01  1.5764374E+03  6.8770870E+01  6.8717285E+01  5.8219794E+01  5.5204074E+01  4.6238031E+01  5.9495606E-15  1.2594642E+00
  1.2117329E+00  4.9329084E+01  5.8220307E+01  6.1232241E+01  7.1495523E+01  7.1550835E+01  1.6698096E+03  7.1550847E+01  7.1495658E+01  6.1232212E+01  5.8220307E+01  4.9329084E+01  1.2117329E+00  1.2949886E+00
  4.5830153E+00  5.2424566E+01  6.1242198E+01  6.4249998E+01  7.4290540E+01  7.4347395E+01  1.7630692E+03  7.4347409E+01  7.4290680E+01  6.4249968E+01  6.1242198E+01  5.2424566E+01  4.5830153E+00  1.3305496E+00
  8.0207069E+00  5.5594365E+01  6.4338542E+01  6.7342280E+01  7.7160303E+01  7.7218686E+01  1.8589993E+03  7.7218702E+01  7.7160448E+01  6.7342249E+01  6.4338542E+01  5.5594365E+01  8.0207069E+00  1.3662722E+00
  1.1524720E+01  5.8837991E+01  6.7508822E+01  7.0508568E+01  8.0104129E+01  8.0164027E+01  1.9575632E+03  8.0164045E+01  8.0104280E+01  7.0508537E+01  6.7508822E+01  5.8837991E+01  1.1524720E+01  1.4021582E+00
  1.5094892E+01  6.2154907E+01  7.0752474E+01  7.3748297E+01  8.3121308E+01  8.3182706E+01  2.0587223E+03  8.3182725E+01  8.3121463E+01  7.3748265E+01  7.0752474E+01  6.2154907E+01  1.5094892E+01  1.4382091E+00
  1.8731015E+01  6.5544569E+01  7.4068931E+01  7.7060897E+01  8.6228748E+01  8.6289487E+01  2.1624382E+03  8.6289510E+01  8.6228910E+01  7.7060866E+01  7.4068931E+01  6.5544569E+01  1.8731015E+01  1.4744266E+00
  2.2432814E+01  6.9006376E+01  7.7457569E+01  8.0445745E+01  8.9422988E+01  8.9485151E+01  2.2686706E+03  8.9485176E+01  8.9423155E+01  8.0445713E+01  7.7457569E+01  6.9006376E+01  2.2432814E+01  1.5108125E+00
  2.6199974E+01  7.2539711E+01  8.0930160E+01  8.3908043E+01  9.2718124E+01  9.2781707E+01  2.3773789E+03  9.2781736E+01  9.2718297E+01  8.3908010E+01  8.0930160E+01  7.2539711E+01  2.6199974E+01  1.5473685E+00
  3.0032134E+01  7.6143934E+01  8.4493892E+01  8.7468121E+01  9.6088170E+01  9.6153154E+01  2.4885218E+03  9.6153185E+01  9.6088348E+01  8.7468087E+01  8.4493892E+01  7.6143934E+01  3.0032134E+01  1.5840962E+00
  3.3928894E+01  7.9818383E+01  8.8128824E+01  9.1099459E+01  9.9529632E+01  9.9596007E+01  2.6020577E+03  9.9596040E+01  9.9529815E+01  9.1099425E+01  8.8128824E+01  7.9818383E+01  3.3928894E+01  1.6209977E+00
  3.7889818E+01  8.3562373E+01  9.1834229E+01  9.4801329E+01  1.0304169E+02  1.0310945E+02  2.7179448E+03  1.0310948E+02  1.0304188E+02  9.4801294E+01  9.1834229E+01  8.3562373E+01  3.7889818E+01  1.6580746E+00
  4.1914446E+01  8.7375224E+01  9.5609386E+01  9.8573008E+01  1.0662355E+02  1.0669268E+02  2.8361415E+03  1.0669271E+02  1.0662374E+02  9.8572973E+01  9.5609386E+01  8.7375224E+01  4.1914446E+01  1.6953287E+00
  4.6002287E+01  9.1256220E+01  9.9453544E+01  1.0241374E+02  1.1027438E+02  1.1034487E+02  2.9566056E+03  1.1034491E+02  1.1027458E+02  1.0241371E+02  9.9453544E+01  9.1256220E+01  4.6002287E+01  1.7327621E+00
  5.0152824E+01  9.5204645E+01  1.0336595E+02  1.0632278E+02  1.1399335E+02  1.1406519E+02  3.0792952E+03  1.1406524E+02  1.1399356E+02  1.0632275E+02  1.0336595E+02  9.5204645E+01  5.0152824E+01  1.7703765E+00
  5.4365523E+01  9.9219771E+01  1.0734585E+02  1.1029937E+02  1.1777966E+02  1.1785284E+02  3.2041687E+03  1.1785288E+02  1.1777987E+02  1.1029933E+02  1.0734585E+02  9.9219771E+01  5.4365523E+01  1.8081740E+00
  5.8639822E+01  1.0330086E+02  1.1139247E+02  1.1434272E+02  1.2168827E+02  1.2173331E+02  3.3311843E+03  1.2173335E+02  1.2168848E+02  1.1434268E+02  1.1139247E+02  1.0330086E+02  5.8639822E+01  1.8461565E+00
  6.2975153E+01  1.0744717E+02  1.1550503E+02  1.1845208E+02  1.2575016E+02  1.2579603E+02  3.4603007E+03  1.2579607E+02  1.2575038E+02  1.1845204E+02  1.1550503E+02  1.0744717E+02  6.2975153E+01  1.8843261E+00
  6.7370928E+01  1.1165795E+02  1.1968277E+02  1.2262666E+02  1.2987840E+02  1.2992508E+02  3.5914770E+03  1.2992512E+02  1.2987862E+02  1.2262662E+02  1.1968277E+02  1.1165795E+02  6.7370928E+01  1.9226846E+00
  7.1826543E+01  1.1593245E+02  1.2392491E+02  1.2686568E+02  1.3407215E+02  1.3411964E+02  3.7246723E+03  1.3411969E+02  1.3407238E+02  1.2686564E+02  1.2392491E+02  1.1593245E+02  7.1826543E+01  1.9612344E+00
  7.6341400E+01  1.2026993E+02  1.2823067E+02  1.3116837E+02  1.3833060E+02  1.3837889E+02  3.8598467E+03  1.3837894E+02  1.3833083E+02  1.3116834E+02  1.2823067E+02  1.2026993E+02  7.6341400E+01  1.9999774E+00
  8.0914874E+01  1.2466963E+02  1.3259928E+02  1.3553396E+02  1.4265292E+02  1.4270202E+02  3.9969604E+03  1.4270207E+02  1.4265316E+02  1.3553392E+02  1.3259928E+02  1.2466963E+02  8.0914874E+01  2.0389158E+00
  8.5546335E+01  1.2913078E+02  1.3702994E+02  1.3996166E+02  1.4703829E+02  1.4708819E+02  4.1359739E+03  1.4708824E+02  1.4703853E+02  1.3996162E+02  1.3702994E+02  1.2913078E+02  8.5546335E+01  2.0780517E+00
  9.0235158E+01  1.3365265E+02  1.4152191E+02  1.4445070E+02  1.5148591E+02  1.5153661E+02  4.2768486E+03  1.5153666E+02  1.5148615E+02  1.4445066E+02  1.4152191E+02  1.3365265E+02  9.0235158E+01  2.1173875E+00
  0.0000000E+00  2.4000000E-09  2.5000016E-09  4.6313640E+00  2.0360209E+01  2.0360209E+01  1.1730181E+02  2.0360171E+01  2.0360204E+01  4.6313569E+00  2.5000016E-09  2.5000000E-09  0.0000000E+00  3.2434158E-01
  0.0000000E+00  2.4000002E-09  1.3354022E+00  5.7137445E+00  2.0619430E+01  2.0622029E+01  1.4098335E+02  2.0621990E+01  2.0619432E+01  5.7137362E+00  1.3354022E+00  2.5000003E-09  0.0000000E+00  3.5005841E-01
  0.0000000E+00  3.3000007E-09  2.6724236E+00  6.8910023E+00  2.1056804E+01  2.1061865E+01  1.6534810E+02  2.1061826E+01  2.1056811E+01  6.8909884E+00  2.6724236E+00  3.4000006E-09  0.0000000E+00  3.7600515E-01
  0.0000000E+00  3.2000003E-09  4.0226933E+00  8.1008219E+00  2.1601140E+01  2.1608551E+01  1.9041851E+02  2.1608512E+01  2.1601152E+01  8.1008069E+00  4.0226933E+00  2.8000005E-09  0.0000000E+00  4.0231020E-01
  0.0000000E+00  2.9000005E-09  5.3945893E+00  9.3290422E+00  2.2270549E+01  2.2279611E+01  2.1646754E+02  2.2279576E+01  2.2270569E+01  9.3290262E+00  5.3945893E+00  1.8000005E-09  0.0000000E+00  4.2890974E-01
  0.0000000E+00  3.4000005E-09  6.8004918E+00  1.0603846E+01  2.3203070E+01  2.3214173E+01  2.4377257E+02  2.3214139E+01  2.3203096E+01  1.0603829E+01  6.8004918E+00  4.2000006E-09  0.0000000E+00  4.5559640E-01
  0.0000000E+00  3.1000004E-09  8.2407841E+00  1.1920643E+01  2.4201988E+01  2.4215066E+01  2.7291253E+02  2.4215034E+01  2.4202019E+01  1.1920625E+01  8.2407841E+00  3.2000006E-09  0.0000000E+00  4.8237086E-01
  0.0000000E+00  4.5621065E-01  9.6806044E+00  1.3241945E+01  2.5231375E+01  2.5246157E+01  3.0349560E+02  2.5246126E+01  2.5231412E+01  1.3241925E+01  9.6806044E+00  4.5621065E-01  0.0000000E+00  5.0922909E-01
  0.0000000E+00  1.9992808E+00  1.1091114E+01  1.4541750E+01  2.6283977E+01  2.6300543E+01  3.3483394E+02  2.6300512E+01  2.6284022E+01  1.4541728E+01  1.1091114E+01  1.9992808E+00  0.0000000E+00  5.3616817E-01
  0.0000000E+00  3.5962208E+00  1.2559306E+01  1.5937759E+01  2.7427341E+01  2.7445681E+01  3.6822335E+02  2.7445651E+01  2.7427393E+01  1.5937736E+01  1.2559306E+01  3.5962208E+00  0.0000000E+00  5.6320139E-01
  0.0000000E+00  5.2490681E+00  1.4094881E+01  1.7408029E+01  2.8642048E+01  2.8662136E+01  4.0511166E+02  2.8662108E+01  2.8642105E+01  1.7408006E+01  1.4094881E+01  5.2490681E+00  0.0000000E+00  5.9032948E-01
  0.0000000E+00  6.9594254E+00  1.5701308E+01  1.8943535E+01  2.9923960E+01  2.9945759E+01  4.4506963E+02  2.9945733E+01  2.9924023E+01  1.8943510E+01  1.5701308E+01  6.9594254E+00  0.0000000E+00  6.1755321E-01
  0.0000000E+00  8.7285779E+00  1.7380934E+01  2.0562011E+01  3.1283232E+01  3.1306046E+01  4.8778427E+02  3.1306011E+01  3.1283291E+01  2.0561985E+01  1.7380934E+01  8.7285779E+00  0.0000000E+00  6.4487323E-01
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  0.0000000E+00  1.2446935E+01  2.0935049E+01  2.4025466E+01  3.4276917E+01  3.4302802E+01  5.8167065E+02  3.4302773E+01  3.4276990E+01  2.4025439E+01  2.0935049E+01  1.2446935E+01  0.0000000E+00  6.9980551E-01
  0.0000000E+00  1.4397420E+01  2.2809392E+01  2.5852858E+01  3.5877312E+01  3.5904733E+01  6.3252690E+02  3.5904706E+01  3.5877392E+01  2.5852831E+01  2.2809392E+01  1.4397420E+01  0.0000000E+00  7.2741920E-01
  0.0000000E+00  1.6409299E+01  2.4748658E+01  2.7762945E+01  3.7542893E+01  3.7571824E+01  6.8599510E+02  3.7571799E+01  3.7542978E+01  2.7762916E+01  2.4748658E+01  1.6409299E+01  0.0000000E+00  7.5513229E-01
  0.0000000E+00  1.8482788E+01  2.6752782E+01  2.9760118E+01  3.9273013E+01  3.9303433E+01  7.4207411E+02  3.9303409E+01  3.9273105E+01  2.9760089E+01  2.6752782E+01  1.8482788E+01  0.0000000E+00  7.8294574E-01
  0.0000000E+00  2.0617951E+01  2.8821568E+01  3.1822149E+01  4.1066970E+01  4.1098856E+01  8.0075376E+02  4.1098835E+01  4.1067067E+01  3.1822119E+01  2.8821568E+01  2.0617951E+01  0.0000000E+00  8.1086022E-01
  0.0000000E+00  2.2814732E+01  3.0954733E+01  3.3948745E+01  4.2924047E+01  4.2957380E+01  8.6201699E+02  4.2957361E+01  4.2924150E+01  3.3948714E+01  3.0954733E+01  2.2814732E+01  0.0000000E+00  8.3887660E-01
  0.0000000E+00  2.5073651E+01  3.3151945E+01  3.6139564E+01  4.4843545E+01  4.4878307E+01  9.2584170E+02  4.4878289E+01  4.4843655E+01  3.6139533E+01  3.3151945E+01  2.5073651E+01  0.0000000E+00  8.6699565E-01
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  0.0000000E+00  2.9802375E+01  3.7736760E+01  4.0712086E+01  4.8968739E+01  4.9005418E+01  1.0610886E+03  4.9005416E+01  4.8968874E+01  4.0712053E+01  3.7736760E+01  2.9802375E+01  0.0000000E+00  9.2354518E-01
  0.0000000E+00  3.2259690E+01  4.0123367E+01  4.3092779E+01  5.1139095E+01  5.1177087E+01  1.1332989E+03  5.1177088E+01  5.1139235E+01  4.3092746E+01  4.0123367E+01  3.2259690E+01  0.0000000E+00  9.5197778E-01
  0.0000000E+00  3.4778332E+01  4.2572032E+01  4.5535669E+01  5.3372106E+01  5.3411396E+01  1.2079569E+03  5.3411400E+01  5.3372252E+01  4.5535635E+01  4.2572032E+01  3.4778332E+01  0.0000000E+00  9.8051609E-01
  0.0000000E+00  3.7357766E+01  4.5082147E+01  4.8040146E+01  5.5683793E+01  5.5723308E+01  1.2850220E+03  5.5723327E+01  5.5683960E+01  4.8040112E+01  4.5082147E+01  3.7357766E+01  0.0000000E+00  1.0091614E+00
  5.1372046E-15  3.9997415E+01  4.7653075E+01  5.0605568E+01  5.8063743E+01  5.8104492E+01  1.3644517E+03  5.8104512E+01  5.8063915E+01  5.0605532E+01  4.7653075E+01  3.9997415E+01  5.1372046E-15  1.0379145E+00
  1.0462823E+00  4.2663633E+01  5.0251595E+01  5.3199141E+01  6.0479823E+01  6.0522990E+01  1.4447923E+03  6.0523014E+01  6.0480004E+01  5.3199106E+01  5.0251595E+01  4.2663633E+01  1.0462823E+00  1.0667255E+00
  3.9563781E+00  4.5334200E+01  5.2869673E+01  5.5805669E+01  6.2921139E+01  6.2965509E+01  1.5249532E+03  6.2965535E+01  6.2921326E+01  5.5805632E+01  5.2869673E+01  4.5334200E+01  3.9563781E+00  1.0955650E+00
  6.9224783E+00  4.8067654E+01  5.5560867E+01  5.8491807E+01  6.5450340E+01  6.5494431E+01  1.6073584E+03  6.5494463E+01  6.5450536E+01  5.8491770E+01  5.5560867E+01  4.8067654E+01  6.9224783E+00  1.1245358E+00
  9.9444216E+00  5.0863482E+01  5.8315591E+01  6.1241573E+01  6.8045306E+01  6.8090538E+01  1.6919713E+03  6.8090572E+01  6.8045508E+01  6.1241535E+01  5.8315591E+01  5.0863482E+01  9.9444216E+00  1.1536395E+00
  1.3021992E+01  5.3721142E+01  6.1133249E+01  6.4054367E+01  7.0703572E+01  7.0749935E+01  1.7787548E+03  7.0749972E+01  7.0703781E+01  6.4054328E+01  6.1133249E+01  5.3721142E+01  1.3021992E+01  1.1828773E+00
  1.6154920E+01  5.6640067E+01  6.4013220E+01  6.6929566E+01  7.3424423E+01  7.3471907E+01  1.8676709E+03  7.3471947E+01  7.3424638E+01  6.6929526E+01  6.4013220E+01  5.6640067E+01  1.6154920E+01  1.2122505E+00
  1.9342898E+01  5.9619666E+01  6.6954865E+01  6.9866526E+01  7.6207131E+01  7.6255726E+01  1.9586813E+03  7.6255769E+01  7.6207353E+01  6.9866487E+01  6.6954865E+01  5.9619666E+01  1.9342898E+01  1.2417606E+00
  2.2585571E+01  6.2659322E+01  6.9957521E+01  7.2864584E+01  7.9050949E+01  7.9100646E+01  2.0517470E+03  7.9100691E+01  7.9051177E+01  7.2864544E+01  6.9957521E+01  6.2659322E+01  2.2585571E+01  1.2714090E+00
  2.5882564E+01  6.5758421E+01  7.3020532E+01  7.5923079E+01  8.2061070E+01  8.2093511E+01  2.1468294E+03  8.2093555E+01  8.2061301E+01  7.5923038E+01  7.3020532E+01  6.5758421E+01  2.5882564E+01  1.3011971E+00
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  3.2637809E+01  7.2132344E+01  7.9324854E+01  8.2218609E+01  8.8277961E+01  8.8312030E+01  2.3428881E+03  8.8312078E+01  8.8278206E+01  8.2218567E+01  7.9324854E+01  7.2132344E+01  3.2637809E+01  1.3611985E+00
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  3.9605010E+01  7.8736150E+01  8.5862256E+01  8.8747520E+01  9.4731425E+01  9.4767109E+01  2.5465452E+03  9.4767163E+01  9.4731683E+01  8.8747477E+01  8.5862256E+01  7.8736150E+01  3.9605010E+01  1.4217767E+00
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  4.6780196E+01  8.5564406E+01  9.2627048E+01  9.5504107E+01  1.0141552E+02  1.0145280E+02  2.7574914E+03  1.0145286E+02  1.0141579E+02  9.5504064E+01  9.2627048E+01  8.5564406E+01  4.6780196E+01  1.4829442E+00
  5.0444477E+01  8.9060987E+01  9.6092927E+01  9.8965986E+01  1.0484219E+02  1.0488027E+02  2.8656028E+03  1.0488033E+02  1.0484246E+02  9.8965942E+01  9.6092927E+01  8.9060987E+01  5.0444477E+01  1.5137529E+00
  5.4159162E+01  9.2611614E+01  9.9613503E+01  1.0248263E+02  1.0832428E+02  1.0836316E+02  2.9754229E+03  1.0836322E+02  1.0832456E+02  1.0248258E+02  9.9613503E+01  9.2611614E+01  5.4159162E+01  1.5447137E+00
  5.7923685E+01  9.6215584E+01  1.0318805E+02  1.0605331E+02  1.1186104E+02  1.1190071E+02  3.0869145E+03  1.1190078E+02  1.1186133E+02  1.0605326E+02  1.0318805E+02  9.6215584E+01  5.7923685E+01  1.5758283E+00
  6.1737488E+01  9.9872207E+01  1.0681585E+02  1.0967730E+02  1.1545174E+02  1.1549220E+02  3.2000410E+03  1.1549227E+02  1.1545203E+02  1.0967726E+02  1.0681585E+02  9.9872207E+01  6.1737488E+01  1.6070985E+00
  6.5599998E+01  1.0358078E+02  1.1049619E+02  1.1335389E+02  1.1909562E+02  1.1913687E+02  3.3147662E+03  1.1913694E+02  1.1909592E+02  1.1335384E+02  1.1049619E+02  1.0358078E+02  6.5599998E+01  1.6385259E+00
  6.9510636E+01  1.0734061E+02  1.1422835E+02  1.1708236E+02  1.2279196E+02  1.2283399E+02  3.4310548E+03  1.2283407E+02  1.2279227E+02  1.1708231E+02  1.1422835E+02  1.0734061E+02  6.9510636E+01  1.6701123E+00
  7.3468824E+01  1.1115101E+02  1.1801161E+02  1.2086199E+02  1.2654001E+02  1.2658282E+02  3.5488715E+03  1.2658290E+02  1.2654033E+02  1.2086195E+02  1.1801161E+02  1.1115101E+02  7.3468824E+01  1.7018595E+00
  7.7473967E+01  1.1501128E+02  1.2184526E+02  1.2469207E+02  1.3033905E+02  1.3038264E+02  3.6681814E+03  1.3038272E+02  1.3033937E+02  1.2469203E+02  1.2184526E+02  1.1501128E+02  7.7473967E+01  1.7337692E+00
  0.0000000E+00  2.4000000E-09  2.5000014E-09  4.3061923E+00  1.6486487E+01  1.6486487E+01  1.0506363E+02  1.6486440E+01  1.6486480E+01  4.3061836E+00  2.5000014E-09  2.3000000E-09  0.0000000E+00  2.7735689E-01
  0.0000000E+00  2.4000002E-09  1.1541866E+00  5.2348741E+00  1.6718734E+01  1.6720793E+01  1.2538693E+02  1.6720745E+01  1.6718737E+01  5.2348639E+00  1.1541866E+00  2.3000002E-09  0.0000000E+00  2.9870120E-01
  0.0000000E+00  3.6000002E-09  2.3045714E+00  6.2382955E+00  1.7133514E+01  1.7137534E+01  1.4565342E+02  1.7137488E+01  1.7133523E+01  6.2382785E+00  2.3045714E+00  3.4000003E-09  0.0000000E+00  3.2013316E-01
  0.0000000E+00  4.1000003E-09  3.4637699E+00  7.2691914E+00  1.7632691E+01  1.7638593E+01  1.6645560E+02  1.7638547E+01  1.7632706E+01  7.2691728E+00  3.4637699E+00  4.1000002E-09  0.0000000E+00  3.4163510E-01
  0.0000000E+00  2.6000003E-09  4.6425144E+00  8.3150911E+00  1.8332521E+01  1.8339772E+01  1.8838021E+02  1.8339733E+01  1.8332548E+01  8.3150715E+00  4.6425144E+00  1.8000003E-09  0.0000000E+00  3.6331179E-01
  0.0000000E+00  4.2000003E-09  5.8483364E+00  9.4003475E+00  1.9145061E+01  1.9153964E+01  2.1152110E+02  1.9153926E+01  1.9145094E+01  9.4003262E+00  5.8483364E+00  3.6000003E-09  0.0000000E+00  3.8522695E-01
  0.0000000E+00  2.8000003E-09  7.0839437E+00  1.0530932E+01  2.0010246E+01  2.0020752E+01  2.3612741E+02  2.0020715E+01  2.0010285E+01  1.0530908E+01  7.0839437E+00  3.2000003E-09  0.0000000E+00  4.0723775E-01
  0.0000000E+00  3.9359858E-01  8.3350878E+00  1.1686057E+01  2.0897612E+01  2.0909681E+01  2.6202738E+02  2.0909647E+01  2.0897659E+01  1.1686031E+01  8.3350878E+00  3.9359858E-01  0.0000000E+00  4.2931760E-01
  0.0000000E+00  1.7249694E+00  9.5488600E+00  1.2830574E+01  2.1787722E+01  2.1801035E+01  2.8863020E+02  2.1801000E+01  2.1787780E+01  1.2830547E+01  9.5488600E+00  1.7249694E+00  0.0000000E+00  4.5146393E-01
  0.0000000E+00  3.1030312E+00  1.0826956E+01  1.4047215E+01  2.2770761E+01  2.2785516E+01  3.1780513E+02  2.2785485E+01  2.2770828E+01  1.4047187E+01  1.0826956E+01  3.1030312E+00  0.0000000E+00  4.7368799E-01
  0.0000000E+00  4.5295931E+00  1.2165891E+01  1.5318501E+01  2.3814019E+01  2.3830201E+01  3.4999788E+02  2.3830172E+01  2.3814093E+01  1.5318471E+01  1.2165891E+01  4.5295931E+00  0.0000000E+00  4.9599028E-01
  0.0000000E+00  6.0060861E+00  1.3559779E+01  1.6654293E+01  2.4913735E+01  2.4931316E+01  3.8466282E+02  2.4931288E+01  2.4913816E+01  1.6654263E+01  1.3559779E+01  6.0060861E+00  0.0000000E+00  5.1837149E-01
  0.0000000E+00  7.5335914E+00  1.5009195E+01  1.8060559E+01  2.6093233E+01  2.6111613E+01  4.2177858E+02  2.6111577E+01  2.6093311E+01  1.8060528E+01  1.5009195E+01  7.5335914E+00  0.0000000E+00  5.4083222E-01
  0.0000000E+00  9.1129418E+00  1.6514548E+01  1.9524260E+01  2.7351182E+01  2.7370725E+01  4.6114371E+02  2.7370693E+01  2.7351275E+01  1.9524228E+01  1.6514548E+01  9.1129418E+00  0.0000000E+00  5.6337311E-01
  0.0000000E+00  1.0744718E+01  1.8076040E+01  2.1043289E+01  2.8679430E+01  2.8700232E+01  5.0277785E+02  2.8700203E+01  2.8679531E+01  2.1043256E+01  1.8076040E+01  1.0744718E+01  0.0000000E+00  5.8599477E-01
  0.0000000E+00  1.2429333E+01  1.9693760E+01  2.2640621E+01  3.0064082E+01  3.0086121E+01  5.4669043E+02  3.0086095E+01  3.0064190E+01  2.2640587E+01  1.9693760E+01  1.2429333E+01  0.0000000E+00  6.0869785E-01
  0.0000000E+00  1.4174999E+01  2.1367650E+01  2.4305840E+01  3.1504569E+01  3.1527825E+01  5.9288052E+02  3.1527802E+01  3.1504685E+01  2.4305805E+01  2.1367650E+01  1.4174999E+01  0.0000000E+00  6.3148294E-01
  0.0000000E+00  1.5975317E+01  2.3097546E+01  2.6027350E+01  3.3000298E+01  3.3024754E+01  6.4133897E+02  3.3024733E+01  3.3000422E+01  2.6027314E+01  2.3097546E+01  1.5975317E+01  0.0000000E+00  6.5435089E-01
  0.0000000E+00  1.7830028E+01  2.4883216E+01  2.7804897E+01  3.4550667E+01  3.4576305E+01  6.9205033E+02  3.4576287E+01  3.4550798E+01  2.7804860E+01  2.4883216E+01  1.7830028E+01  0.0000000E+00  6.7730226E-01
  0.0000000E+00  1.9738927E+01  2.6724325E+01  2.9638133E+01  3.6155025E+01  3.6181830E+01  7.4505270E+02  3.6181814E+01  3.6155165E+01  2.9638095E+01  2.6724325E+01  1.9738927E+01  0.0000000E+00  7.0033770E-01
  0.0000000E+00  2.1701736E+01  2.8620479E+01  3.1526648E+01  3.7812711E+01  3.7840667E+01  8.0089307E+02  3.7840654E+01  3.7812858E+01  3.1526610E+01  2.8620479E+01  2.1701736E+01  0.0000000E+00  7.2345794E-01
  0.0000000E+00  2.3718100E+01  3.0571220E+01  3.3469969E+01  3.9531378E+01  3.9559117E+01  8.5892352E+02  3.9559124E+01  3.9531550E+01  3.3469930E+01  3.0571220E+01  2.3718100E+01  0.0000000E+00  7.4666365E-01
  0.0000000E+00  2.5787622E+01  3.2578609E+01  3.5467599E+01  4.1397549E+01  4.1419994E+01  9.1911052E+02  4.1419997E+01  4.1397726E+01  3.5467559E+01  3.2578609E+01  2.5787622E+01  0.0000000E+00  7.6995552E-01
  0.0000000E+00  2.7909845E+01  3.4654714E+01  3.7533049E+01  4.3380685E+01  4.3403244E+01  9.8141731E+02  4.3403266E+01  4.3380886E+01  3.7533008E+01  3.4654714E+01  2.7909845E+01  0.0000000E+00  7.9333465E-01
  0.0000000E+00  3.0084251E+01  3.6784622E+01  3.9656144E+01  4.5426221E+01  4.5449649E+01  1.0458044E+03  4.5449674E+01  4.5426430E+01  3.9656101E+01  3.6784622E+01  3.0084251E+01  0.0000000E+00  8.1680101E-01
  0.0000000E+00  3.2310297E+01  3.8967687E+01  4.1832572E+01  4.7528073E+01  4.7551393E+01  1.1122311E+03  4.7551424E+01  4.7528294E+01  4.1832529E+01  3.8967687E+01  3.2310297E+01  0.0000000E+00  8.4035574E-01
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  0.0000000E+00  4.1000002E-09  1.4453921E+00  4.5956677E+00  9.0865629E+00  9.0886921E+00  1.0141739E+02  9.0886077E+00  9.0865949E+00  4.5956330E+00  1.4453921E+00  3.5000002E-09  0.0000000E+00  1.9820034E-01
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  5.8018060E-01  2.3739119E+01  2.7894479E+01  3.0364787E+01  3.2509525E+01  3.2525988E+01  8.0634730E+02  3.2526135E+01  3.2510070E+01  3.0364706E+01  2.7894479E+01  2.3739119E+01  5.8018060E-01  5.3046044E-01
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  0.0000000E+00  2.2000001E-09  6.1110984E-01  3.6066669E+00  6.9534492E+00  6.9543873E+00  8.1890486E+01  6.9542688E+00  6.9534627E+00  3.6066396E+00  6.1110984E-01  3.3000001E-09  0.0000000E+00  1.5826202E-01
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  0.0000000E+00  3.4000002E-09  2.4496190E+00  5.1813057E+00  8.0778876E+00  8.0812195E+00  1.0781810E+02  8.0811371E+00  8.0779799E+00  5.1812541E+00  2.4496190E+00  3.5000002E-09  0.0000000E+00  1.9080297E-01
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  0.0000000E+00  6.8920738E+00  1.0762789E+01  1.3202870E+01  1.4948033E+01  1.4956033E+01  3.0403392E+02  1.4956110E+01  1.4948462E+01  1.3202791E+01  1.0762789E+01  6.8920738E+00  0.0000000E+00  3.1295765E-01
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  0.0000000E+00  9.9043174E+00  1.3667781E+01  1.6075814E+01  1.7710304E+01  1.7719577E+01  3.8656847E+02  1.7719690E+01  1.7710808E+01  1.6075729E+01  1.3667781E+01  9.9043174E+00  0.0000000E+00  3.4711302E-01
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  3.5837942E+01  5.3848831E+01  5.6972200E+01  5.9165137E+01  6.0174235E+01  6.0194530E+01  1.6848042E+03  6.0194991E+01  6.0175445E+01  5.9165010E+01  5.6972200E+01  5.3848831E+01  3.5837942E+01  7.2524917E-01
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  0.0000000E+00  2.6000001E-09  5.0130814E-01  3.2476320E+00  5.4255318E+00  5.4262780E+00  7.2181030E+01  5.4261397E+00  5.4255606E+00  3.2475982E+00  5.0130814E-01  2.2000001E-09  0.0000000E+00  1.3490561E-01
  0.0000000E+00  3.2000001E-09  9.9910555E-01  3.6588988E+00  5.6985677E+00  5.6999657E+00  7.7823335E+01  5.6998518E+00  5.6986393E+00  3.6588456E+00  9.9910555E-01  4.7000001E-09  0.0000000E+00  1.4419246E-01
  0.0000000E+00  3.3000001E-09  1.5087950E+00  4.0896583E+00  6.0355078E+00  6.0375496E+00  8.4122757E+01  6.0374497E+00  6.0356114E+00  4.0895990E+00  1.5087950E+00  5.0000001E-09  0.0000000E+00  1.5350993E-01
  0.0000000E+00  1.5000001E-09  2.0425007E+00  4.5552589E+00  6.3998030E+00  6.4024590E+00  9.1352565E+01  6.4023732E+00  6.3999380E+00  4.5551946E+00  2.0425007E+00  3.0000001E-09  0.0000000E+00  1.6285824E-01
  0.0000000E+00  3.7000001E-09  2.5979675E+00  5.0666565E+00  6.7917777E+00  6.7950228E+00  1.0003141E+02  6.7949510E+00  6.7919435E+00  5.0665868E+00  2.5979675E+00  3.7000002E-09  0.0000000E+00  1.7223762E-01
  0.0000000E+00  2.1000001E-09  3.1767893E+00  5.6064489E+00  7.2116954E+00  7.2154619E+00  1.1050491E+02  7.2153952E+00  7.2119091E+00  5.6063756E+00  3.1767893E+00  2.2000002E-09  0.0000000E+00  1.8164831E-01
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  0.0000000E+00  2.8364944E+00  6.2323294E+00  8.5825793E+00  9.7819370E+00  9.7871743E+00  1.8174769E+02  9.7872077E+00  9.7823438E+00  8.5824922E+00  6.2323294E+00  2.8364944E+00  0.0000000E+00  2.2916784E-01
  0.0000000E+00  3.5690365E+00  6.9257816E+00  9.2624342E+00  1.0417425E+01  1.0422946E+01  1.9977308E+02  1.0423001E+01  1.0417870E+01  9.2623447E+00  6.9257816E+00  3.5690365E+00  0.0000000E+00  2.3877291E-01
  0.0000000E+00  4.3293230E+00  7.6491378E+00  9.9727598E+00  1.1087671E+01  1.1093434E+01  2.1904516E+02  1.1093534E+01  1.1088182E+01  9.9726678E+00  7.6491378E+00  4.3293230E+00  0.0000000E+00  2.4841266E-01
  0.0000000E+00  5.1171665E+00  8.4020096E+00  1.0713123E+01  1.1795730E+01  1.1801855E+01  2.3953760E+02  1.1801972E+01  1.1796275E+01  1.0713029E+01  8.4020096E+00  5.1171665E+00  0.0000000E+00  2.5808737E-01
  0.0000000E+00  5.9322779E+00  9.1839307E+00  1.1483017E+01  1.2535157E+01  1.2541636E+01  2.6121993E+02  1.2541769E+01  1.2535734E+01  1.1482920E+01  9.1839307E+00  5.9322779E+00  0.0000000E+00  2.6779731E-01
  0.0000000E+00  6.7742975E+00  9.9943852E+00  1.2281889E+01  1.3305232E+01  1.3312057E+01  2.8405893E+02  1.3312207E+01  1.3305842E+01  1.2281790E+01  9.9943852E+00  6.7742975E+00  0.0000000E+00  2.7754277E-01
  0.0000000E+00  7.6428272E+00  1.0832840E+01  1.3109178E+01  1.4105246E+01  1.4112412E+01  3.0802008E+02  1.4112578E+01  1.4105888E+01  1.3109077E+01  1.0832840E+01  7.6428272E+00  0.0000000E+00  2.8732410E-01
  0.0000000E+00  8.5374122E+00  1.1698720E+01  1.3964277E+01  1.4934465E+01  1.4941964E+01  3.3306708E+02  1.4942146E+01  1.4935139E+01  1.3964174E+01  1.1698720E+01  8.5374122E+00  0.0000000E+00  2.9714156E-01
  0.0000000E+00  9.4575662E+00  1.2591431E+01  1.4846567E+01  1.5792154E+01  1.5799981E+01  3.5916294E+02  1.5800179E+01  1.5792860E+01  1.4846462E+01  1.2591431E+01  9.4575662E+00  0.0000000E+00  3.0699545E-01
  0.0000000E+00  1.0402792E+01  1.3510381E+01  1.5755433E+01  1.6677598E+01  1.6685746E+01  3.8627087E+02  1.6685960E+01  1.6678335E+01  1.5755326E+01  1.3510381E+01  1.0402792E+01  0.0000000E+00  3.1688606E-01
  0.0000000E+00  1.1372564E+01  1.4454958E+01  1.6690241E+01  1.7590071E+01  1.7598536E+01  4.1435366E+02  1.7598765E+01  1.7590840E+01  1.6690132E+01  1.4454958E+01  1.1372564E+01  0.0000000E+00  3.2681373E-01
  0.0000000E+00  1.2366346E+01  1.5424551E+01  1.7650362E+01  1.8528863E+01  1.8537639E+01  4.4337451E+02  1.8537883E+01  1.8529663E+01  1.7650251E+01  1.5424551E+01  1.2366346E+01  0.0000000E+00  3.3677875E-01
  0.0000000E+00  1.3383595E+01  1.6418545E+01  1.8635167E+01  1.9493275E+01  1.9502356E+01  4.7329713E+02  1.9502616E+01  1.9494105E+01  1.8635054E+01  1.6418545E+01  1.3383595E+01  0.0000000E+00  3.4678160E-01
  0.0000000E+00  1.4423766E+01  1.7436335E+01  1.9644028E+01  2.0482609E+01  2.0491991E+01  5.0408600E+02  2.0492266E+01  2.0483470E+01  1.9643913E+01  1.7436335E+01  1.4423766E+01  0.0000000E+00  3.5682228E-01
  0.0000000E+00  1.5486312E+01  1.8477315E+01  2.0676328E+01  2.1496190E+01  2.1505868E+01  5.3570624E+02  2.1506159E+01  2.1497081E+01  2.0676212E+01  1.8477315E+01  1.5486312E+01  0.0000000E+00  3.6690127E-01
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  1.6960180E+01  2.8827017E+01  3.0735306E+01  3.2471021E+01  3.2394223E+01  3.2403122E+01  8.9860668E+02  3.2404198E+01  3.2396664E+01  3.2470810E+01  3.0735306E+01  2.8827017E+01  1.6960180E+01  4.2796645E-01
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  2.0175414E+01  3.1901912E+01  3.3785997E+01  3.5504027E+01  3.5417325E+01  3.5426533E+01  9.8583993E+02  3.5427675E+01  3.5419895E+01  3.5503811E+01  3.3785997E+01  3.1901912E+01  2.0175414E+01  4.5339490E-01
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  0.0000000E+00  3.4000001E-09  2.6026789E-01  2.3805174E+00  2.6081108E+00  2.6084615E+00  3.8098343E+01  2.6083764E+00  2.6083636E+00  2.3804223E+00  2.6026789E-01  2.8000001E-09  0.0000000E+00  8.3503616E-02
  0.0000000E+00  3.1000001E-09  5.3708894E-01  2.6117177E+00  2.7882249E+00  2.7888986E+00  4.0729254E+01  2.7888702E+00  2.7885716E+00  2.6116129E+00  5.3708894E-01  4.1000001E-09  0.0000000E+00  8.9814672E-02
  0.0000000E+00  3.6000001E-09  8.3500367E-01  2.8702578E+00  2.9953163E+00  2.9962764E+00  4.4263291E+01  2.9963155E+00  2.9957672E+00  2.8701395E+00  8.3500367E-01  4.8000001E-09  0.0000000E+00  9.6146668E-02
  0.0000000E+00  1.6000001E-09  1.1539072E+00  3.1607878E+00  3.2306215E+00  3.2318647E+00  4.8910279E+01  3.2319478E+00  3.2311517E+00  3.1606621E+00  1.1539072E+00  2.0000001E-09  0.0000000E+00  1.0249977E-01
  0.0000000E+00  2.8000001E-09  1.4939920E+00  3.4763781E+00  3.4998437E+00  3.5013135E+00  5.5106041E+01  3.5014287E+00  3.5004795E+00  3.4762468E+00  1.4939920E+00  4.2000001E-09  0.0000000E+00  1.0887413E-01
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  0.0000000E+00  1.8180053E+00  3.8288068E+00  5.6964640E+00  5.5712082E+00  5.5736735E+00  1.1174821E+02  5.5740717E+00  5.5723657E+00  5.6963047E+00  3.8288068E+00  1.8180053E+00  0.0000000E+00  1.4756899E-01
  0.0000000E+00  2.2946954E+00  4.2842217E+00  6.1362656E+00  6.0018828E+00  6.0045191E+00  1.2416445E+02  6.0049565E+00  6.0031133E+00  6.1361023E+00  4.2842217E+00  2.2946954E+00  0.0000000E+00  1.5409807E-01
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  0.0000000E+00  3.3053906E+00  5.2558027E+00  7.0787104E+00  6.9283136E+00  6.9312748E+00  1.5136050E+02  6.9317885E+00  6.9296867E+00  7.0785392E+00  5.2558027E+00  3.3053906E+00  0.0000000E+00  1.6722764E-01
  0.0000000E+00  3.8382350E+00  5.7705982E+00  7.5798691E+00  7.4224260E+00  7.4255418E+00  1.6607138E+02  7.4260927E+00  7.4238687E+00  7.5796943E+00  5.7705982E+00  3.8382350E+00  0.0000000E+00  1.7382851E-01
  0.0000000E+00  4.3886301E+00  6.3038323E+00  8.1000223E+00  7.9360853E+00  7.9393508E+00  1.8147804E+02  7.9399383E+00  7.9375965E+00  8.0998439E+00  6.3038323E+00  4.3886301E+00  0.0000000E+00  1.8045369E-01
  0.0000000E+00  4.9559928E+00  6.8548465E+00  8.6384708E+00  8.4685366E+00  8.4719473E+00  1.9754634E+02  8.4725708E+00  8.4701155E+00  8.6382888E+00  6.8548465E+00  4.9559928E+00  0.0000000E+00  1.8710343E-01
  0.0000000E+00  5.5397534E+00  7.4230058E+00  9.1945413E+00  9.0190590E+00  9.0226104E+00  2.1424306E+02  9.0232695E+00  9.0207045E+00  9.1943560E+00  7.4230058E+00  5.5397534E+00  0.0000000E+00  1.9377790E-01
  0.0000000E+00  6.1393453E+00  8.0076843E+00  9.7675746E+00  9.5869509E+00  9.5906389E+00  2.3153563E+02  9.5913330E+00  9.5886622E+00  9.7673860E+00  8.0076843E+00  6.1393453E+00  0.0000000E+00  2.0047733E-01
  0.0000000E+00  6.7542151E+00  8.6082764E+00  1.0356935E+01  1.0171539E+01  1.0175360E+01  2.4939258E+02  1.0176089E+01  1.0173316E+01  1.0356743E+01  8.6082764E+00  6.7542151E+00  0.0000000E+00  2.0720190E-01
  0.0000000E+00  7.3838191E+00  9.2241911E+00  1.0962004E+01  1.0772174E+01  1.0776124E+01  2.6778349E+02  1.0776886E+01  1.0774014E+01  1.0961810E+01  9.2241911E+00  7.3838191E+00  0.0000000E+00  2.1395185E-01
  0.0000000E+00  8.0276352E+00  9.8548651E+00  1.1582195E+01  1.1388237E+01  1.1392312E+01  2.8667932E+02  1.1393108E+01  1.1390141E+01  1.1581997E+01  9.8548651E+00  8.0276352E+00  0.0000000E+00  2.2072738E-01
  0.0000000E+00  8.6851502E+00  1.0499747E+01  1.2216935E+01  1.2019132E+01  1.2023329E+01  3.0605207E+02  1.2024158E+01  1.2021099E+01  1.2216734E+01  1.0499747E+01  8.6851502E+00  0.0000000E+00  2.2752882E-01
  0.0000000E+00  9.3558614E+00  1.1158300E+01  1.2865662E+01  1.2664274E+01  1.2668588E+01  3.2587479E+02  1.2669451E+01  1.2666302E+01  1.2865458E+01  1.1158300E+01  9.3558614E+00  0.0000000E+00  2.3435618E-01
  0.0000000E+00  1.0039284E+01  1.1830008E+01  1.3527846E+01  1.3323109E+01  1.3327539E+01  3.4612182E+02  1.3328433E+01  1.3325198E+01  1.3527639E+01  1.1830008E+01  1.0039284E+01  0.0000000E+00  2.4120979E-01
  1.3584669E-15  1.0734955E+01  1.2514379E+01  1.4202976E+01  1.3995111E+01  1.3999652E+01  3.6676889E+02  1.4000579E+01  1.3997260E+01  1.4202766E+01  1.2514379E+01  1.0734955E+01  1.3584669E-15  2.4808989E-01
  2.7667574E-01  1.1436679E+01  1.3205227E+01  1.4884995E+01  1.4673872E+01  1.4678864E+01  3.8737838E+02  1.4679823E+01  1.4676082E+01  1.4884783E+01  1.3205227E+01  1.1436679E+01  2.7667574E-01  2.5498452E-01
  1.0432111E+00  1.2140464E+01  1.3898537E+01  1.5569654E+01  1.5355815E+01  1.5360912E+01  4.0762424E+02  1.5361902E+01  1.5358085E+01  1.5569439E+01  1.3898537E+01  1.2140464E+01  1.0432111E+00  2.6188678E-01
  1.8199344E+00  1.2856240E+01  1.4604155E+01  1.6266839E+01  1.6050450E+01  1.6055648E+01  4.2821223E+02  1.6056669E+01  1.6052778E+01  1.6266621E+01  1.4604155E+01  1.2856240E+01  1.8199344E+00  2.6882129E-01
  2.6065391E+00  1.3583606E+01  1.5321663E+01  1.6976121E+01  1.6757338E+01  1.6762635E+01  4.4912451E+02  1.6763686E+01  1.6759724E+01  1.6975901E+01  1.5321663E+01  1.3583606E+01  2.6065391E+00  2.7578839E-01
  3.4027250E+00  1.4322181E+01  1.6050665E+01  1.7697096E+01  1.7476063E+01  1.7481457E+01  4.7034417E+02  1.7482539E+01  1.7478508E+01  1.7696873E+01  1.6050665E+01  1.4322181E+01  3.4027250E+00  2.8278845E-01
  4.2081941E+00  1.5071587E+01  1.6790768E+01  1.8429361E+01  1.8206215E+01  1.8211702E+01  4.9185478E+02  1.8212815E+01  1.8208718E+01  1.8429136E+01  1.6790768E+01  1.5071587E+01  4.2081941E+00  2.8982180E-01
  5.0226546E+00  1.5831457E+01  1.7541593E+01  1.9172530E+01  1.8947399E+01  1.8952977E+01  5.1364063E+02  1.8954119E+01  1.8949959E+01  1.9172302E+01  1.7541593E+01  1.5831457E+01  5.0226546E+00  2.9688881E-01
  5.8458202E+00  1.6601437E+01  1.8302773E+01  1.9926228E+01  1.9699231E+01  1.9704897E+01  5.3568669E+02  1.9706070E+01  1.9701848E+01  1.9925997E+01  1.8302773E+01  1.6601437E+01  5.8458202E+00  3.0398985E-01
  6.6774095E+00  1.7381181E+01  1.9073951E+01  2.0690090E+01  2.0461340E+01  2.0467092E+01  5.5797850E+02  2.0468294E+01  2.0464014E+01  2.0689857E+01  1.9073951E+01  1.7381181E+01  6.6774095E+00  3.1112527E-01
  7.5171482E+00  1.8170356E+01  1.9854782E+01  2.1463765E+01  2.1233369E+01  2.1239204E+01  5.8050229E+02  2.1240435E+01  2.1236099E+01  2.1463530E+01  1.9854782E+01  1.8170356E+01  7.5171482E+00  3.1829546E-01
  8.3647647E+00  1.8968633E+01  2.0644927E+01  2.2246909E+01  2.2014966E+01  2.2020882E+01  6.0324473E+02  2.2022142E+01  2.2017751E+01  2.2246672E+01  2.0644927E+01  1.8968633E+01  8.3647647E+00  3.2550081E-01
  9.2199994E+00  1.9775701E+01  2.1444068E+01  2.3039196E+01  2.2805800E+01  2.2811794E+01  6.2619335E+02  2.2813083E+01  2.2808641E+01  2.3038957E+01  2.1444068E+01  1.9775701E+01  9.2199994E+00  3.3274169E-01
  1.0082595E+01  2.0591252E+01  2.2251887E+01  2.3840304E+01  2.3605543E+01  2.3611613E+01  6.4933595E+02  2.3612931E+01  2.3608439E+01  2.3840062E+01  2.2251887E+01  2.0591252E+01  1.0082595E+01  3.4001851E-01
  1.0952300E+01  2.1414990E+01  2.3068079E+01  2.4649921E+01  2.4413880E+01  2.4420023E+01  6.7266090E+02  2.4421370E+01  2.4416830E+01  2.4649676E+01  2.3068079E+01  2.1414990E+01  1.0952300E+01  3.4733167E-01
  1.1828871E+01  2.2246626E+01  2.3892348E+01  2.5467747E+01  2.5230505E+01  2.5236719E+01  6.9615715E+02  2.5238094E+01  2.5233510E+01  2.5467500E+01  2.3892348E+01  2.2246626E+01  1.1828871E+01  3.5468158E-01
  1.2712069E+01  2.3085881E+01  2.4724407E+01  2.6293490E+01  2.6055122E+01  2.6061405E+01  7.1981404E+02  2.6062809E+01  2.6058181E+01  2.6293242E+01  2.4724407E+01  2.3085881E+01  1.2712069E+01  3.6206865E-01
  1.3601663E+01  2.3932486E+01  2.5563979E+01  2.7126870E+01  2.6887447E+01  2.6893797E+01  7.4362145E+02  2.6895228E+01  2.6890560E+01  2.7126620E+01  2.5563979E+01  2.3932486E+01  1.3601663E+01  3.6949332E-01
  1.4497424E+01  2.4786173E+01  2.6410793E+01  2.7967610E+01  2.7727199E+01  2.7733613E+01  7.6756952E+02  2.7735072E+01  2.7730366E+01  2.7967357E+01  2.6410793E+01  2.4786173E+01  1.4497424E+01  3.7695600E-01
  1.5399137E+01  2.5646694E+01  2.7264592E+01  2.8815450E+01  2.8574116E+01  2.8580591E+01  7.9164920E+02  2.8582077E+01  2.8577335E+01  2.8815195E+01  2.7264592E+01  2.5646694E+01  1.5399137E+01  3.8445714E-01
  1.6306585E+01  2.6513800E+01  2.8125122E+01  2.9670131E+01  2.9427934E+01  2.9434468E+01  8.1585148E+02  2.9435982E+01  2.9431206E+01  2.9669874E+01  2.8125122E+01  2.6513800E+01  1.6306585E+01  3.9199719E-01
  1.7219560E+01  2.7387251E+01  2.8992139E+01  3.0531406E+01  3.0288403E+01  3.0294995E+01  8.4016785E+02  3.0296536E+01  3.0291728E+01  3.0531147E+01  2.8992139E+01  2.7387251E+01  1.7219560E+01  3.9957659E-01
  1.8137860E+01  2.8266816E+01  2.9865403E+01  3.1399033E+01  3.1155279E+01  3.1161926E+01  8.6459015E+02  3.1163494E+01  3.1158656E+01  3.1398772E+01  2.9865403E+01  2.8266816E+01  1.8137860E+01  4.0719582E-01
  1.9061290E+01  2.9152271E+01  3.0744689E+01  3.2272781E+01  3.2028329E+01  3.2035028E+01  8.8911065E+02  3.2036623E+01  3.2031758E+01  3.2272518E+01  3.0744689E+01  2.9152271E+01  1.9061290E+01  4.1485533E-01
  0.0000000E+00  5.1000000E-09  8.0000026E-10  1.9944247E+00  1.8731744E+00  1.8731748E+00  2.8612313E+01  1.8731642E+00  1.8735341E+00  1.9943199E+00  8.0000026E-10  4.9000000E-09  0.0000000E+00  6.5420295E-02
  0.0000000E+00  5.1000000E-09  2.1139223E-01  2.1459819E+00  2.0063198E+00  2.0065763E+00  3.0119682E+01  2.0066268E+00  2.0067897E+00  2.1458612E+00  2.1139223E-01  4.9000000E-09  0.0000000E+00  7.1041967E-02
  0.0000000E+00  4.8000001E-09  4.4156447E-01  2.3312759E+00  2.1664849E+00  2.1669794E+00  3.2405811E+01  2.1670920E+00  2.1670636E+00  2.3311465E+00  4.4156447E-01  4.3000001E-09  0.0000000E+00  7.6707950E-02
  0.0000000E+00  5.3000000E-09  6.9313195E-01  2.5456234E+00  2.3520895E+00  2.3527995E+00  3.5453777E+01  2.3529799E+00  2.3527803E+00  2.5454773E+00  6.9313195E-01  5.0000000E-09  0.0000000E+00  8.2392761E-02
  0.0000000E+00  3.9000001E-09  9.6539377E-01  2.7903483E+00  2.5666939E+00  2.5675945E+00  3.9626821E+01  2.5678095E+00  2.5675112E+00  2.7901933E+00  9.6539377E-01  4.5000001E-09  0.0000000E+00  8.8096552E-02
  0.0000000E+00  4.9000001E-09  1.2579698E+00  3.0582138E+00  2.8060476E+00  2.8071411E+00  4.5173405E+01  2.8074113E+00  2.8069655E+00  3.0580522E+00  1.2579698E+00  5.0000001E-09  0.0000000E+00  9.3819469E-02
  0.0000000E+00  5.0000001E-09  1.5703061E+00  3.3477197E+00  3.0689604E+00  3.0701715E+00  5.1657263E+01  3.0705388E+00  3.0700330E+00  3.3475519E+00  1.5703061E+00  4.9000001E-09  0.0000000E+00  9.9561652E-02
  0.0000000E+00  9.9603328E-02  1.8920716E+00  3.6484328E+00  3.3510306E+00  3.3524078E+00  5.9095322E+01  3.3528297E+00  3.3522020E+00  3.6482592E+00  1.8920716E+00  9.9603328E-02  0.0000000E+00  1.0532230E-01
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  0.0000000E+00  1.1839305E+00  2.9132650E+00  4.6145677E+00  4.2975752E+00  4.2992688E+00  8.5521280E+01  4.2998558E+00  4.2990790E+00  4.6143782E+00  2.9132650E+00  1.1839305E+00  0.0000000E+00  1.2272008E-01
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  0.0000000E+00  3.3440506E+00  4.9907460E+00  6.6171290E+00  6.2908057E+00  6.2930868E+00  1.4386981E+02  6.2939156E+00  6.2927593E+00  6.6169167E+00  4.9907460E+00  3.3440506E+00  0.0000000E+00  1.5213879E-01
  0.0000000E+00  3.8233976E+00  5.4560445E+00  7.0693572E+00  6.7420541E+00  6.7444395E+00  1.5739161E+02  6.7453141E+00  6.7440932E+00  7.0691407E+00  5.4560445E+00  3.8233976E+00  0.0000000E+00  1.5808745E-01
  0.0000000E+00  4.3171181E+00  5.9363796E+00  7.5371465E+00  7.2090787E+00  7.2115648E+00  1.7145501E+02  7.2124844E+00  7.2112021E+00  7.5369260E+00  5.9363796E+00  4.3171181E+00  0.0000000E+00  1.6405820E-01
  0.0000000E+00  4.8246389E+00  6.4311239E+00  8.0198312E+00  7.6911891E+00  7.6937721E+00  1.8602908E+02  7.6947360E+00  7.6933954E+00  8.0196067E+00  6.4311239E+00  4.8246389E+00  0.0000000E+00  1.7005120E-01
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  0.0000000E+00  7.5505047E+00  9.1007361E+00  1.0635349E+01  1.0306028E+01  1.0309047E+01  2.6556029E+02  1.0310223E+01  1.0308633E+01  1.0635106E+01  9.1007361E+00  7.5505047E+00  0.0000000E+00  2.0035673E-01
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  0.0000000E+00  8.7194652E+00  1.0250125E+01  1.1765529E+01  1.1436697E+01  1.1439869E+01  3.0000007E+02  1.1441125E+01  1.1439454E+01  1.1765280E+01  1.0250125E+01  8.7194652E+00  0.0000000E+00  2.1264142E-01
  1.1710000E-15  9.3189684E+00  1.0840362E+01  1.2346603E+01  1.2018136E+01  1.2021380E+01  3.1769077E+02  1.2022676E+01  1.2020967E+01  1.2346350E+01  1.0840362E+01  9.3189684E+00  1.1710000E-15  2.1881940E-01
  2.3849481E-01  9.9233253E+00  1.1435799E+01  1.2933279E+01  1.2604943E+01  1.2608562E+01  3.3530637E+02  1.2609897E+01  1.2607848E+01  1.2933023E+01  1.1435799E+01  9.9233253E+00  2.3849481E-01  2.2501067E-01
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  1.5669722E+00  1.1144847E+01  1.2640396E+01  1.4120963E+01  1.3793681E+01  1.3797431E+01  3.7007874E+02  1.3798843E+01  1.3796733E+01  1.4120701E+01  1.2640396E+01  1.1144847E+01  1.5669722E+00  2.3743675E-01
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  6.4461241E+00  1.5692635E+01  1.7136078E+01  1.8563631E+01  1.8241486E+01  1.8245619E+01  4.9872449E+02  1.8247290E+01  1.8245032E+01  1.8563349E+01  1.7136078E+01  1.5692635E+01  6.4461241E+00  2.8186856E-01
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  9.3704932E+00  1.8452142E+01  1.9869852E+01  2.1270700E+01  2.0952175E+01  2.0956479E+01  5.7590080E+02  2.0958292E+01  2.0955994E+01  2.1270408E+01  1.9869852E+01  1.8452142E+01  9.3704932E+00  3.0794664E-01
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  1.1617751E+01  2.0585263E+01  2.1985232E+01  2.3367473E+01  2.3051875E+01  2.3056284E+01  6.3502866E+02  2.3058201E+01  2.3055892E+01  2.3367174E+01  2.1985232E+01  2.0585263E+01  1.1617751E+01  3.2785115E-01
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  1.3138619E+01  2.2034048E+01  2.3422846E+01  2.4793288E+01  2.4479716E+01  2.4484186E+01  6.7491371E+02  2.4486171E+01  2.4483865E+01  2.4792984E+01  2.3422846E+01  2.2034048E+01  1.3138619E+01  3.4129123E-01
  1.3905304E+01  2.2765806E+01  2.4149199E+01  2.5513911E+01  2.5201371E+01  2.5205868E+01  6.9497373E+02  2.5207887E+01  2.5205585E+01  2.5513605E+01  2.4149199E+01  2.2765806E+01  1.3905304E+01  3.4806358E-01
  1.4675921E+01  2.3502201E+01  2.4880305E+01  2.6239396E+01  2.5927899E+01  2.5932421E+01  7.1510296E+02  2.5934473E+01  2.5932177E+01  2.6239087E+01  2.4880305E+01  2.3502201E+01  1.4675921E+01  3.5487135E-01
  1.5450302E+01  2.4243041E+01  2.5615967E+01  2.6969540E+01  2.6659096E+01  2.6663641E+01  7.3529492E+02  2.6665726E+01  2.6663438E+01  2.6969229E+01  2.5615967E+01  2.4243041E+01  1.5450302E+01  3.6171496E-01
  1.6228279E+01  2.4988134E+01  2.6355989E+01  2.7704146E+01  2.7394764E+01  2.7399330E+01  7.5554338E+02  2.7401448E+01  2.7399170E+01  2.7703833E+01  2.6355989E+01  2.4988134E+01  1.6228279E+01  3.6859481E-01
  0.0000000E+00  5.2000000E-09  2.1122479E-16  1.7973651E+00  1.4454538E+00  1.4454547E+00  2.2852751E+01  1.4456573E+00  1.4461263E+00  1.7972349E+00  2.1122479E-16  5.1000000E-09  0.0000000E+00  5.5321144E-02
  0.0000000E+00  5.2000000E-09  1.7248499E-01  1.9186847E+00  1.5651679E+00  1.5653616E+00  2.3620957E+01  1.5656053E+00  1.5659407E+00  1.9185359E+00  1.7248499E-01  5.1000000E-09  0.0000000E+00  6.0456460E-02
  0.0000000E+00  4.3000000E-09  3.6592120E-01  2.0671485E+00  1.7066257E+00  1.7069972E+00  2.5495315E+01  1.7073170E+00  1.7075334E+00  2.0669890E+00  3.6592120E-01  4.8000000E-09  0.0000000E+00  6.5604187E-02
  0.0000000E+00  4.4000001E-09  5.8002063E-01  2.2464274E+00  1.8745201E+00  1.8750458E+00  2.8155334E+01  1.8754091E+00  1.8755861E+00  2.2462457E+00  5.8002063E-01  4.1000000E-09  0.0000000E+00  7.0769046E-02
  0.0000000E+00  5.1000000E-09  8.1412578E-01  2.4527642E+00  2.0665373E+00  2.0672047E+00  3.2014202E+01  2.0676960E+00  2.0677955E+00  2.4525739E+00  8.1412578E-01  4.6000001E-09  0.0000000E+00  7.5951175E-02
  0.0000000E+00  5.8000001E-09  1.0674203E+00  2.6810639E+00  2.2819009E+00  2.2826808E+00  3.7122156E+01  2.2832369E+00  2.2832918E+00  2.6808659E+00  1.0674203E+00  5.1000000E-09  0.0000000E+00  8.1150700E-02
  0.0000000E+00  5.4000001E-09  1.3390440E+00  2.9296420E+00  2.5263634E+00  2.5272065E+00  4.3140638E+01  2.5278327E+00  2.5278975E+00  2.9294368E+00  1.3390440E+00  4.4000001E-09  0.0000000E+00  8.6367752E-02
  0.0000000E+00  8.6812334E-02  1.6199200E+00  3.1893112E+00  2.7830841E+00  2.7840394E+00  4.9866128E+01  2.7847325E+00  2.7847414E+00  3.1890991E+00  1.6199200E+00  8.6812334E-02  0.0000000E+00  9.1601647E-02
  0.0000000E+00  3.8561452E-01  1.9002456E+00  3.4501320E+00  3.0410443E+00  3.0421067E+00  5.7081505E+01  3.0428647E+00  3.0428213E+00  3.4499135E+00  1.9002456E+00  3.8561452E-01  0.0000000E+00  9.6851909E-02
  0.0000000E+00  7.0170395E-01  2.1990903E+00  3.7305982E+00  3.3187951E+00  3.3199333E+00  6.4986468E+01  3.3207592E+00  3.3207053E+00  3.7303735E+00  2.1990903E+00  7.0170395E-01  0.0000000E+00  1.0212098E-01
  0.0000000E+00  1.0343639E+00  2.5155994E+00  4.0297404E+00  3.6190929E+00  3.6203150E+00  7.3551151E+01  3.6212079E+00  3.6211434E+00  4.0295098E+00  2.5155994E+00  1.0343639E+00  0.0000000E+00  1.0740899E-01
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  0.0000000E+00  1.7465777E+00  3.1983379E+00  4.6803997E+00  4.2757845E+00  4.2771774E+00  9.2531781E+01  4.2781916E+00  4.2780625E+00  4.6801580E+00  3.1983379E+00  1.7465777E+00  0.0000000E+00  1.1804251E-01
  0.0000000E+00  2.1247700E+00  3.5630202E+00  5.0302106E+00  4.6286792E+00  4.6301515E+00  1.0288248E+02  4.6312245E+00  4.6310678E+00  5.0299637E+00  3.5630202E+00  2.1247700E+00  0.0000000E+00  1.2338833E-01
  0.0000000E+00  2.5168117E+00  3.9422669E+00  5.3952756E+00  4.9968517E+00  4.9983997E+00  1.1376340E+02  4.9995306E+00  4.9993491E+00  5.3950235E+00  3.9422669E+00  2.5168117E+00  0.0000000E+00  1.2875372E-01
  0.0000000E+00  2.9220806E+00  4.3353914E+00  5.7748507E+00  5.3795467E+00  5.3811669E+00  1.2514301E+02  5.3823546E+00  5.3821510E+00  5.7745938E+00  4.3353914E+00  2.9220806E+00  0.0000000E+00  1.3413886E-01
  0.0000000E+00  3.3399744E+00  4.7417341E+00  6.1682263E+00  5.7760447E+00  5.7777339E+00  1.3699056E+02  5.7789774E+00  5.7787542E+00  6.1679646E+00  4.7417341E+00  3.3399744E+00  0.0000000E+00  1.3954390E-01
  0.0000000E+00  3.7699150E+00  5.1606674E+00  6.5747307E+00  6.1856660E+00  6.1874210E+00  1.4927646E+02  6.1887195E+00  6.1884791E+00  6.5744643E+00  5.1606674E+00  3.7699150E+00  0.0000000E+00  1.4496902E-01
  0.0000000E+00  4.2113519E+00  5.5915967E+00  6.9937289E+00  6.6077696E+00  6.6095875E+00  1.6197251E+02  6.6109400E+00  6.6106848E+00  6.9934580E+00  5.5915967E+00  4.2113519E+00  0.0000000E+00  1.5041440E-01
  0.0000000E+00  4.6637540E+00  6.0339513E+00  7.4246148E+00  7.0417445E+00  7.0436224E+00  1.7505166E+02  7.0450282E+00  7.0447603E+00  7.4243396E+00  6.0339513E+00  4.6637540E+00  0.0000000E+00  1.5588018E-01
  0.0000000E+00  5.1266138E+00  6.4871891E+00  7.8668143E+00  7.4870122E+00  7.4889474E+00  1.8848822E+02  7.4904057E+00  7.4901272E+00  7.8665349E+00  6.4871891E+00  5.1266138E+00  0.0000000E+00  1.6136656E-01
  0.0000000E+00  5.5994439E+00  6.9507913E+00  8.3197795E+00  7.9430218E+00  7.9450117E+00  2.0225777E+02  7.9465216E+00  7.9462346E+00  8.3194958E+00  6.9507913E+00  5.5994439E+00  0.0000000E+00  1.6687370E-01
  0.0000000E+00  6.0817829E+00  7.4242687E+00  8.7829950E+00  8.4092554E+00  8.4112975E+00  2.1633735E+02  8.4128584E+00  8.4125648E+00  8.7827074E+00  7.4242687E+00  6.0817829E+00  0.0000000E+00  1.7240178E-01
  0.0000000E+00  6.5731865E+00  7.9071518E+00  9.2559695E+00  8.8852192E+00  8.8873112E+00  2.3070516E+02  8.8889223E+00  8.8886240E+00  9.2556779E+00  7.9071518E+00  6.5731865E+00  0.0000000E+00  1.7795105E-01
  0.0000000E+00  7.0732268E+00  8.3989892E+00  9.7382268E+00  9.3704361E+00  9.3725754E+00  2.4534050E+02  9.3742362E+00  9.3739350E+00  9.7379314E+00  8.3989892E+00  7.0732268E+00  0.0000000E+00  1.8352155E-01
  0.0000000E+00  7.5814970E+00  8.8993539E+00  1.0229321E+01  9.8644592E+00  9.8666437E+00  2.6022395E+02  9.8683534E+00  9.8680512E+00  1.0229022E+01  8.8993539E+00  7.5814970E+00  0.0000000E+00  1.8911353E-01
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  1.0602628E+01  1.7265511E+01  1.8304910E+01  1.9303558E+01  1.9052338E+01  1.9054119E+01  5.1546934E+02  1.9057561E+01  1.9059237E+01  1.9303125E+01  1.8304910E+01  1.7265511E+01  1.0602628E+01  2.8753384E-01
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  0.0000000E+00  2.1000000E-09  1.1847437E-01  1.4522677E+00  9.9887888E-01  9.9896682E-01  1.3785190E+01  9.9967956E-01  1.0005384E+00  1.4520410E+00  1.1847437E-01  2.3000000E-09  0.0000000E+00  4.3637066E-02
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  7.4544173E-16  6.1240139E+00  7.1187387E+00  8.0667504E+00  7.8232688E+00  7.8242058E+00  2.0686763E+02  7.8271927E+00  7.8292767E+00  8.0663205E+00  7.1187387E+00  6.1240139E+00  7.4544173E-16  1.5713118E-01
  1.5182236E-01  6.5070043E+00  7.4966934E+00  8.4372663E+00  8.1989140E+00  8.2000834E+00  2.1765225E+02  8.2031435E+00  8.2050605E+00  8.4368321E+00  7.4966934E+00  6.5070043E+00  1.5182236E-01  1.6188726E-01
  5.7091812E-01  6.8904604E+00  7.8752970E+00  8.8086323E+00  8.5754546E+00  8.5766344E+00  2.2811716E+02  8.5797666E+00  8.5817383E+00  8.8081937E+00  7.8752970E+00  6.8904604E+00  5.7091812E-01  1.6664996E-01
  9.9333849E-01  7.2782545E+00  8.2583823E+00  9.1846902E+00  8.9565501E+00  8.9577391E+00  2.3867285E+02  8.9609427E+00  8.9629697E+00  9.1842473E+00  8.2583823E+00  7.2782545E+00  9.9333849E-01  1.7143499E-01
  1.4188937E+00  7.6701448E+00  8.6457001E+00  9.5651803E+00  9.3419471E+00  9.3431440E+00  2.4931049E+02  9.3464184E+00  9.3485013E+00  9.5647333E+00  8.6457001E+00  7.6701448E+00  1.4188937E+00  1.7624259E-01
  1.8474012E+00  8.0659028E+00  9.0370150E+00  9.9498578E+00  9.7314063E+00  9.7326099E+00  2.6002187E+02  9.7359545E+00  9.7380940E+00  9.9494067E+00  9.0370150E+00  8.0659028E+00  1.8474012E+00  1.8107300E-01
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  2.7125826E+00  8.8681545E+00  9.8307439E+00  1.0730847E+01  1.0521605E+01  1.0522819E+01  2.8163516E+02  1.0526301E+01  1.0528556E+01  1.0730388E+01  9.8307439E+00  8.8681545E+00  2.7125826E+00  1.9080321E-01
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  4.0283559E+00  1.0095381E+01  1.1046010E+01  1.1928223E+01  1.1731984E+01  1.1733204E+01  3.1442841E+02  1.1736889E+01  1.1739323E+01  1.1927752E+01  1.1046010E+01  1.0095381E+01  4.0283559E+00  2.0557582E-01
  4.4711492E+00  1.0510081E+01  1.1456923E+01  1.2333470E+01  1.2141367E+01  1.2142586E+01  3.2543439E+02  1.2146338E+01  1.2148832E+01  1.2332996E+01  1.1456923E+01  1.0510081E+01  4.4711492E+00  2.1054834E-01
  4.9158136E+00  1.0927312E+01  1.1870461E+01  1.2741480E+01  1.2553419E+01  1.2554637E+01  3.3646870E+02  1.2558454E+01  1.2561011E+01  1.2741003E+01  1.1870461E+01  1.0927312E+01  4.9158136E+00  2.1554547E-01
  5.3622188E+00  1.1346918E+01  1.2286461E+01  1.3152085E+01  1.2967977E+01  1.2969192E+01  3.4752629E+02  1.2973074E+01  1.2975693E+01  1.3151604E+01  1.2286461E+01  1.1346918E+01  5.3622188E+00  2.2056747E-01
  5.8102401E+00  1.1768746E+01  1.2704769E+01  1.3565126E+01  1.3384884E+01  1.3386095E+01  3.5860246E+02  1.3390042E+01  1.3392725E+01  1.3564641E+01  1.2704769E+01  1.1768746E+01  5.8102401E+00  2.2561463E-01
  6.2597585E+00  1.2192654E+01  1.3125238E+01  1.3980449E+01  1.3803992E+01  1.3805197E+01  3.6969281E+02  1.3809209E+01  1.3811956E+01  1.3979961E+01  1.3125238E+01  1.2192654E+01  6.2597585E+00  2.3068724E-01
  6.7106593E+00  1.2618503E+01  1.3547727E+01  1.4397910E+01  1.4225157E+01  1.4226356E+01  3.8079319E+02  1.4230431E+01  1.4233243E+01  1.4397419E+01  1.3547727E+01  1.2618503E+01  6.7106593E+00  2.3578557E-01
  7.1628337E+00  1.3046164E+01  1.3972102E+01  1.4817371E+01  1.4648245E+01  1.4649437E+01  3.9189973E+02  1.4653575E+01  1.4656453E+01  1.4816876E+01  1.3972102E+01  1.3046164E+01  7.1628337E+00  2.4090993E-01
  7.6161759E+00  1.3475509E+01  1.4398234E+01  1.5238697E+01  1.5073124E+01  1.5074307E+01  4.0300874E+02  1.5078507E+01  1.5081452E+01  1.5238198E+01  1.4398234E+01  1.3475509E+01  7.6161759E+00  2.4606061E-01
  8.0705869E+00  1.3906420E+01  1.4826002E+01  1.5661763E+01  1.5499673E+01  1.5500846E+01  4.1411687E+02  1.5505108E+01  1.5508121E+01  1.5661262E+01  1.4826002E+01  1.3906420E+01  8.0705869E+00  2.5123791E-01
  8.5259693E+00  1.4338782E+01  1.5255287E+01  1.6086448E+01  1.5927771E+01  1.5928932E+01  4.2522087E+02  1.5933257E+01  1.5936338E+01  1.6085944E+01  1.5255287E+01  1.4338782E+01  8.5259693E+00  2.5644215E-01
  8.9822321E+00  1.4772487E+01  1.5685979E+01  1.6512637E+01  1.6357307E+01  1.6358456E+01  4.3631776E+02  1.6362841E+01  1.6365992E+01  1.6512130E+01  1.5685979E+01  1.4772487E+01  8.9822321E+00  2.6167363E-01
  9.4392867E+00  1.5207428E+01  1.6117970E+01  1.6940220E+01  1.6788171E+01  1.6789306E+01  4.4740470E+02  1.6793752E+01  1.6796974E+01  1.6939709E+01  1.6117970E+01  1.5207428E+01  9.4392867E+00  2.6693269E-01
  9.8970478E+00  1.5643506E+01  1.6551157E+01  1.7369089E+01  1.7220261E+01  1.7221380E+01  4.5847904E+02  1.7225887E+01  1.7229181E+01  1.7368575E+01  1.6551157E+01  1.5643506E+01  9.8970478E+00  2.7221964E-01
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  0.0000000E+00  2.5000000E-09  1.0017191E-01  1.2248389E+00  8.6222189E-01  8.6229259E-01  1.0279756E+01  8.6321014E-01  8.6429377E-01  1.2245540E+00  1.0017191E-01  2.9000000E-09  0.0000000E+00  3.7016107E-02
  0.0000000E+00  3.3000000E-09  2.2083475E-01  1.3089309E+00  9.6546676E-01  9.6560050E-01  1.1792195E+01  9.6667147E-01  9.6781497E-01  1.3086261E+00  2.2083475E-01  4.2000000E-09  0.0000000E+00  4.1047124E-02
  0.0000000E+00  4.0000000E-09  3.5992437E-01  1.4195364E+00  1.0865766E+00  1.0867696E+00  1.4152362E+01  1.0879811E+00  1.0891843E+00  1.4192005E+00  3.5992437E-01  4.1000000E-09  0.0000000E+00  4.5091577E-02
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  0.0000000E+00  3.3000000E-09  6.8642001E-01  1.7001333E+00  1.3874890E+00  1.3877468E+00  2.1537704E+01  1.3892547E+00  1.3907377E+00  1.6997728E+00  6.8642001E-01  2.9000000E-09  0.0000000E+00  5.3221196E-02
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  0.0000000E+00  7.0580739E-01  1.6803047E+00  2.6098430E+00  2.3614904E+00  2.3619142E+00  4.8393112E+01  2.3640748E+00  2.3659746E+00  2.6094356E+00  1.6803047E+00  7.0580739E-01  0.0000000E+00  7.3784823E-02
  0.0000000E+00  9.4252432E-01  1.9084216E+00  2.8243377E+00  2.5870288E+00  2.5874845E+00  5.4885546E+01  2.5897650E+00  2.5917357E+00  2.8239224E+00  1.9084216E+00  9.4252432E-01  0.0000000E+00  7.7941148E-02
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  0.0000000E+00  2.5384475E+00  3.4615528E+00  4.3095409E+00  4.1272884E+00  4.1279104E+00  9.9863370E+01  4.1308625E+00  4.1332452E+00  4.3090834E+00  3.4615528E+00  2.5384475E+00  0.0000000E+00  1.0320060E-01
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  0.0000000E+00  4.9997900E+00  5.8812681E+00  6.6631654E+00  6.5342723E+00  6.5350552E+00  1.6998254E+02  6.5388008E+00  6.5417148E+00  6.6626631E+00  5.8812681E+00  4.9997900E+00  0.0000000E+00  1.3777387E-01
  6.3922818E-16  5.3260592E+00  6.2031685E+00  6.9781434E+00  6.8548174E+00  6.8556158E+00  1.7920934E+02  6.8594539E+00  6.8624341E+00  6.9776361E+00  6.2031685E+00  5.3260592E+00  6.3922818E-16  1.4217045E-01
  1.3019009E-01  5.6537684E+00  6.5266686E+00  7.2950483E+00  7.1768791E+00  7.1778909E+00  1.8829321E+02  7.1818203E+00  7.1846675E+00  7.2945362E+00  6.5266686E+00  5.6537684E+00  1.3019009E-01  1.4657720E-01
  4.8917155E-01  5.9816312E+00  6.8504746E+00  7.6124445E+00  7.4994309E+00  7.5004553E+00  1.9707589E+02  7.5044747E+00  7.5073890E+00  7.6119277E+00  6.8504746E+00  5.9816312E+00  4.8917155E-01  1.5099038E-01
  8.5042090E-01  6.3126457E+00  7.1775517E+00  7.9333055E+00  7.8252877E+00  7.8263239E+00  2.0591479E+02  7.8304322E+00  7.8334139E+00  7.9327841E+00  7.1775517E+00  6.3126457E+00  8.5042090E-01  1.5542425E-01
  1.2137780E+00  6.6466066E+00  7.5076884E+00  8.2574101E+00  8.1542364E+00  8.1552834E+00  2.1480283E+02  8.1594798E+00  8.1625291E+00  8.2568842E+00  7.5076884E+00  6.6466066E+00  1.2137780E+00  1.5987902E-01
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  2.3150046E+00  7.6642767E+00  8.5145101E+00  9.2471512E+00  9.1576731E+00  9.1587466E+00  2.4169785E+02  9.1632017E+00  9.1664557E+00  9.2466124E+00  8.5145101E+00  7.6642767E+00  2.3150046E+00  1.7337098E-01
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  4.1796151E+00  9.4030461E+00  1.0237001E+01  1.0944120E+01  1.0875047E+01  1.0876144E+01  2.8696872E+02  1.0881014E+01  1.0884617E+01  1.0943560E+01  1.0237001E+01  9.4030461E+00  4.1796151E+00  1.9629706E-01
  4.5558640E+00  9.7558835E+00  1.0586817E+01  1.1289217E+01  1.1223910E+01  1.1225009E+01  2.9604889E+02  1.1229959E+01  1.1233634E+01  1.1288655E+01  1.0586817E+01  9.7558835E+00  4.5558640E+00  2.0095040E-01
  4.9329786E+00  1.0110116E+01  1.0938100E+01  1.1635897E+01  1.1574259E+01  1.1575360E+01  3.0512882E+02  1.1580389E+01  1.1584136E+01  1.1635330E+01  1.0938100E+01  1.0110116E+01  4.9329786E+00  2.0562702E-01
  5.3108649E+00  1.0465627E+01  1.1290729E+01  1.1984035E+01  1.1925977E+01  1.1927077E+01  3.1420528E+02  1.1932186E+01  1.1936005E+01  1.1983465E+01  1.1290729E+01  1.0465627E+01  5.3108649E+00  2.1032720E-01
  5.6894331E+00  1.0822309E+01  1.1644593E+01  1.2333515E+01  1.2278949E+01  1.2280048E+01  3.2327514E+02  1.2285235E+01  1.2289127E+01  1.2332941E+01  1.1644593E+01  1.0822309E+01  5.6894331E+00  2.1505121E-01
  6.0685967E+00  1.1180054E+01  1.1999584E+01  1.2684224E+01  1.2633066E+01  1.2634163E+01  3.3233556E+02  1.2639428E+01  1.2643394E+01  1.2683647E+01  1.1999584E+01  1.1180054E+01  6.0685967E+00  2.1979932E-01
  6.4482741E+00  1.1538765E+01  1.2355600E+01  1.3036057E+01  1.2988227E+01  1.2989321E+01  3.4138386E+02  1.2994662E+01  1.2998702E+01  1.3035476E+01  1.2355600E+01  1.1538765E+01  6.4482741E+00  2.2457179E-01
  6.8283878E+00  1.1898345E+01  1.2712543E+01  1.3388913E+01  1.3344334E+01  1.3345423E+01  3.5041757E+02  1.3350841E+01  1.3354956E+01  1.3388329E+01  1.2712543E+01  1.1898345E+01  6.8283878E+00  2.2936893E-01
  7.2088629E+00  1.2258705E+01  1.3070321E+01  1.3742696E+01  1.3701294E+01  1.3702377E+01  3.5943438E+02  1.3707870E+01  1.3712061E+01  1.3742108E+01  1.3070321E+01  1.2258705E+01  7.2088629E+00  2.3419100E-01
  7.5896289E+00  1.2619758E+01  1.3428847E+01  1.4097315E+01  1.4059017E+01  1.4060093E+01  3.6843212E+02  1.4065662E+01  1.4069929E+01  1.4096723E+01  1.3428847E+01  1.2619758E+01  7.5896289E+00  2.3903829E-01
  7.9706177E+00  1.2981423E+01  1.3788035E+01  1.4452681E+01  1.4417420E+01  1.4418488E+01  3.7740879E+02  1.4424131E+01  1.4428475E+01  1.4452086E+01  1.3788035E+01  1.2981423E+01  7.9706177E+00  2.4391111E-01
  8.3517663E+00  1.3343622E+01  1.4147807E+01  1.4808713E+01  1.4776423E+01  1.4777482E+01  3.8636258E+02  1.4783199E+01  1.4787621E+01  1.4808115E+01  1.4147807E+01  1.3343622E+01  8.3517663E+00  2.4880976E-01
  0.0000000E+00  4.4000000E-09  1.0523259E-16  9.7723132E-01  7.0373847E-01  7.0375683E-01  7.0149289E+00  7.0475735E-01  7.0610388E-01  9.7691937E-01  1.0523259E-16  5.2000000E-09  0.0000000E+00  2.7689190E-02
  0.0000000E+00  4.6000000E-09  8.5806574E-02  1.0109464E+00  7.7623570E-01  7.7631211E-01  7.6686549E+00  7.7750990E-01  7.7896747E-01  1.0105915E+00  8.5806574E-02  5.4000000E-09  0.0000000E+00  3.1424794E-02
  0.0000000E+00  4.9000000E-09  1.9121337E-01  1.0833900E+00  8.7104491E-01  8.7117861E-01  9.1333849E+00  8.7257797E-01  8.7414295E-01  1.0830107E+00  1.9121337E-01  5.2000000E-09  0.0000000E+00  3.5170193E-02
  0.0000000E+00  5.2000000E-09  3.1385102E-01  1.1802059E+00  9.8628782E-01  9.8645804E-01  1.1432218E+01  9.8802762E-01  9.8974847E-01  1.1797972E+00  3.1385102E-01  4.4000000E-09  0.0000000E+00  3.8928071E-02
  0.0000000E+00  4.1000000E-09  4.5174774E-01  1.2961613E+00  1.1195852E+00  1.1197951E+00  1.4595859E+01  1.1215708E+00  1.1234445E+00  1.2957380E+00  4.5174774E-01  4.9000000E-09  0.0000000E+00  4.2698520E-02
  0.0000000E+00  5.2000000E-09  6.0324884E-01  1.4282078E+00  1.2682043E+00  1.2684587E+00  1.8310304E+01  1.2704252E+00  1.2724062E+00  1.4277724E+00  6.0324884E-01  4.4000000E-09  0.0000000E+00  4.6481637E-02
  0.0000000E+00  5.2000000E-09  7.6695357E-01  1.5741873E+00  1.4292179E+00  1.4295154E+00  2.2531095E+01  1.4316652E+00  1.4337496E+00  1.5737405E+00  7.6695357E-01  5.2000000E-09  0.0000000E+00  5.0277515E-02
  0.0000000E+00  5.2625687E-02  9.3762559E-01  1.7287338E+00  1.5973804E+00  1.5977196E+00  2.7131369E+01  1.6000453E+00  1.6022292E+00  1.7282765E+00  9.3762559E-01  5.2625687E-02  0.0000000E+00  5.4085777E-02
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  0.0000000E+00  6.2507540E-01  1.4856130E+00  2.2355606E+00  2.1386618E+00  2.1391197E+00  4.2567004E+01  2.1419385E+00  2.1444039E+00  2.2350751E+00  1.4856130E+00  6.2507540E-01  0.0000000E+00  6.5588360E-02
  0.0000000E+00  8.3381908E-01  1.6871848E+00  2.4251075E+00  2.3381902E+00  2.3386856E+00  4.8330668E+01  2.3416603E+00  2.3442159E+00  2.4246134E+00  1.6871848E+00  8.3381908E-01  0.0000000E+00  6.9450228E-02
  0.0000000E+00  1.0503402E+00  1.8969405E+00  2.6235429E+00  2.5459847E+00  2.5465167E+00  5.4357211E+01  2.5496435E+00  2.5522875E+00  2.6230406E+00  1.8969405E+00  1.0503402E+00  0.0000000E+00  7.3326119E-02
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  0.0000000E+00  4.4000000E-09  6.8104770E-01  1.3119201E+00  1.3249173E+00  1.3253006E+00  1.9506170E+01  1.3282964E+00  1.3309226E+00  1.3113940E+00  6.8104770E-01  4.0000000E-09  0.0000000E+00  4.4190887E-02
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  0.0000000E+00  2.5000000E-09  5.7528074E-02  3.6003181E-01  6.6279948E-01  6.6317935E-01  1.5421209E+00  6.6804610E-01  6.7181616E-01  3.5943311E-01  5.7528074E-02  2.3000000E-09  0.0000000E+00  1.6801870E-02
  0.0000000E+00  3.1000000E-09  1.2906352E-01  4.1918522E-01  7.2770618E-01  7.2822567E-01  3.0204596E+00  7.3362718E-01  7.3767852E-01  4.1851387E-01  1.2906352E-01  3.3000000E-09  0.0000000E+00  1.9579656E-02
  0.0000000E+00  3.2000000E-09  2.1189365E-01  4.9389040E-01  8.0453892E-01  8.0519259E-01  5.2504701E+00  8.1109682E-01  8.1541418E-01  4.9316969E-01  2.1189365E-01  3.3000000E-09  0.0000000E+00  2.2366683E-02
  0.0000000E+00  2.5000000E-09  3.0397897E-01  5.7940122E-01  8.9114670E-01  8.9192950E-01  7.8147843E+00  8.9830821E-01  9.0287821E-01  5.7865649E-01  3.0397897E-01  3.0000000E-09  0.0000000E+00  2.5163017E-02
  0.0000000E+00  4.0000000E-09  4.0374434E-01  6.7353511E-01  9.8587142E-01  9.8677872E-01  1.0646686E+01  9.9360694E-01  9.9841773E-01  6.7277227E-01  4.0374434E-01  4.0000000E-09  0.0000000E+00  2.7968732E-02
  0.0000000E+00  1.8000000E-09  5.0994528E-01  7.7467101E-01  1.0874049E+00  1.0884323E+00  1.3704103E+01  1.0956878E+00  1.1007289E+00  7.7389120E-01  5.0994528E-01  1.4000000E-09  0.0000000E+00  3.0783895E-02
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  0.0000000E+00  3.9321884E-01  9.6595105E-01  1.2147330E+00  1.5277668E+00  1.5292354E+00  2.6783312E+01  1.5380101E+00  1.5438834E+00  1.2138953E+00  9.6595105E-01  3.9321884E-01  0.0000000E+00  4.2139507E-02
  0.0000000E+00  5.2033646E-01  1.0891742E+00  1.3346906E+00  1.6475918E+00  1.6491635E+00  3.0276031E+01  1.6582852E+00  1.6643519E+00  1.3338401E+00  1.0891742E+00  5.2033646E-01  0.0000000E+00  4.5003732E-02
  0.0000000E+00  6.5032325E-01  1.2154665E+00  1.4579341E+00  1.7706468E+00  1.7723189E+00  3.3838415E+01  1.7817770E+00  1.7880323E+00  1.4570713E+00  1.2154665E+00  6.5032325E-01  0.0000000E+00  4.7878335E-02
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  0.0000000E+00  1.3311058E+00  1.8802007E+00  2.1099753E+00  2.4211733E+00  2.4233136E+00  5.2274681E+01  2.4343166E+00  2.4414553E+00  2.1090579E+00  1.8802007E+00  1.3311058E+00  0.0000000E+00  6.2410029E-02
  0.0000000E+00  1.4715283E+00  2.0178096E+00  2.2454505E+00  2.5562693E+00  2.5584968E+00  5.6021495E+01  2.5697852E+00  2.5770905E+00  2.2445233E+00  2.0178096E+00  1.4715283E+00  0.0000000E+00  6.5348715E-02
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  0.0000000E+00  2.4719699E+00  3.0012171E+00  3.2165196E+00  3.5243505E+00  3.5271375E+00  8.2075849E+01  3.5402514E+00  3.5486510E+00  3.2155322E+00  3.0012171E+00  2.4719699E+00  0.0000000E+00  8.6232507E-02
  2.8477165E-16  2.6158883E+00  3.1430123E+00  3.3568461E+00  3.6642241E+00  3.6670842E+00  8.5728565E+01  3.6804378E+00  3.6889852E+00  3.3558510E+00  3.1430123E+00  2.6158883E+00  2.8477165E-16  8.9261757E-02
  5.7998769E-02  2.7593448E+00  3.2844155E+00  3.4968886E+00  3.8036850E+00  3.8067433E+00  8.9258110E+01  3.8203316E+00  3.8288982E+00  3.4958861E+00  3.2844155E+00  2.7593448E+00  5.7998769E-02  9.2298404E-02
  2.1685790E-01  2.9020259E+00  3.4251098E+00  3.6362450E+00  3.9425855E+00  3.9457132E+00  9.2594247E+01  3.9595316E+00  3.9682427E+00  3.6352353E+00  3.4251098E+00  2.9020259E+00  2.1685790E-01  9.5340231E-02
  3.7519149E-01  3.0446376E+00  3.5657865E+00  3.7756317E+00  4.0815141E+00  4.0847098E+00  9.5908578E+01  4.0987547E+00  4.1076092E+00  3.7746150E+00  3.5657865E+00  3.0446376E+00  3.7519149E-01  9.8396251E-02
  5.3296017E-01  3.1871175E+00  3.7063806E+00  3.9149812E+00  4.2204038E+00  4.2236662E+00  9.9199743E+01  4.2379342E+00  4.2469309E+00  3.9139577E+00  3.7063806E+00  3.1871175E+00  5.3296017E-01  1.0146661E-01
  6.9012857E-01  3.3294091E+00  3.8468332E+00  4.0542321E+00  4.3591938E+00  4.3625217E+00  1.0246657E+02  4.3770094E+00  4.3861472E+00  4.0532019E+00  3.8468332E+00  3.3294091E+00  6.9012857E-01  1.0455147E-01
  8.4666440E-01  3.4714602E+00  3.9870899E+00  4.1933279E+00  4.4978281E+00  4.5012201E+00  1.0570801E+02  4.5159243E+00  4.5252022E+00  4.1922911E+00  3.9870899E+00  3.4714602E+00  8.4666440E-01  1.0765097E-01
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  1.1577250E+00  3.7546550E+00  4.2668219E+00  4.4708516E+00  4.7744290E+00  4.7779454E+00  1.1211130E+02  4.7930734E+00  4.8026288E+00  4.4698021E+00  4.2668219E+00  3.7546550E+00  1.1577250E+00  1.1389454E-01
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  1.4659416E+00  4.0363681E+00  4.5452282E+00  4.7471886E+00  5.0498460E+00  5.0534818E+00  1.1840392E+02  5.0690220E+00  5.0788513E+00  4.7461270E+00  4.5452282E+00  4.0363681E+00  1.4659416E+00  1.2019859E-01
  1.6189315E+00  4.1765800E+00  4.6838411E+00  4.8848150E+00  5.1870141E+00  5.1907077E+00  1.2150741E+02  5.2064499E+00  5.2164151E+00  4.8837475E+00  4.6838411E+00  4.1765800E+00  1.6189315E+00  1.2337371E-01
  1.7711524E+00  4.3163209E+00  4.8220172E+00  5.0220347E+00  5.3237771E+00  5.3275273E+00  1.2458181E+02  5.3434687E+00  5.3535691E+00  5.0209614E+00  4.8220172E+00  4.3163209E+00  1.7711524E+00  1.2656444E-01
  1.9225890E+00  4.4555632E+00  4.9597276E+00  5.1588172E+00  5.4601047E+00  5.4639103E+00  1.2762684E+02  5.4800485E+00  5.4902833E+00  5.1577383E+00  4.9597276E+00  4.4555632E+00  1.9225890E+00  1.2977097E-01
  2.0732277E+00  4.5942812E+00  5.0969453E+00  5.2951345E+00  5.5959691E+00  5.5998289E+00  1.3064224E+02  5.6161613E+00  5.6265301E+00  5.2940500E+00  5.0969453E+00  4.5942812E+00  2.0732277E+00  1.3299346E-01
  2.2230567E+00  4.7324524E+00  5.2336466E+00  5.4309615E+00  5.7313454E+00  5.7352582E+00  1.3362786E+02  5.7517825E+00  5.7622846E+00  5.4298717E+00  5.2336466E+00  4.7324524E+00  2.2230567E+00  1.3623210E-01
  2.3720654E+00  4.8700558E+00  5.3698094E+00  5.5662751E+00  5.8662105E+00  5.8701751E+00  1.3658357E+02  5.8868889E+00  5.8975239E+00  5.5651799E+00  5.3698094E+00  4.8700558E+00  2.3720654E+00  1.3948705E-01
  2.5202448E+00  5.0070725E+00  5.5054135E+00  5.7010541E+00  6.0005437E+00  6.0045588E+00  1.3950930E+02  6.0214599E+00  6.0322272E+00  5.6999537E+00  5.5054135E+00  5.0070725E+00  2.5202448E+00  1.4275851E-01
  2.6675866E+00  5.1434850E+00  5.6404406E+00  5.8352791E+00  6.1343254E+00  6.1383899E+00  1.4240502E+02  6.1554760E+00  6.1663753E+00  5.8341736E+00  5.6404406E+00  5.1434850E+00  2.6675866E+00  1.4604667E-01
  2.8140844E+00  5.2792783E+00  5.7748746E+00  5.9689332E+00  6.2675389E+00  6.2716517E+00  1.4527075E+02  6.2889206E+00  6.2999514E+00  5.9678226E+00  5.7748746E+00  5.2792783E+00  2.8140844E+00  1.4935171E-01
  2.9597323E+00  5.4144380E+00  5.9087003E+00  6.1020002E+00  6.4001682E+00  6.4043279E+00  1.4810654E+02  6.4217777E+00  6.4329396E+00  6.1008846E+00  5.9087003E+00  5.4144380E+00  2.9597323E+00  1.5267382E-01
  3.1045254E+00  5.5489517E+00  6.0419043E+00  6.2344659E+00  6.5321991E+00  6.5364047E+00  1.5091246E+02  6.5540332E+00  6.5653259E+00  6.2333455E+00  6.0419043E+00  5.5489517E+00  3.1045254E+00  1.5601321E-01
  3.2484601E+00  5.6828081E+00  6.1744744E+00  6.3663174E+00  6.6636189E+00  6.6678691E+00  1.5368863E+02  6.6856744E+00  6.6970977E+00  6.3651922E+00  6.1744744E+00  5.6828081E+00  3.2484601E+00  1.5937007E-01
  3.3915330E+00  5.8159968E+00  6.3063997E+00  6.4975430E+00  6.7944158E+00  6.7987096E+00  1.5643519E+02  6.8166897E+00  6.8282432E+00  6.4964131E+00  6.3063997E+00  5.8159968E+00  3.3915330E+00  1.6274460E-01
  0.0000000E+00  2.8000000E-09  6.7995513E-17  2.5024392E-01  5.7708621E-01  5.7748583E-01  4.2527360E-01  5.8330325E-01  5.8762595E-01  2.4960838E-01  6.7995513E-17  3.8000000E-09  0.0000000E+00  1.2132377E-02
  0.0000000E+00  2.8000000E-09  5.5368435E-02  2.9204532E-01  6.2517542E-01  6.2575292E-01  1.1192780E+00  6.3238912E-01  6.3707878E-01  2.9136988E-01  5.5368435E-02  3.8000000E-09  0.0000000E+00  1.4689917E-02
  0.0000000E+00  2.4000000E-09  1.2274580E-01  3.4891438E-01  6.8552502E-01  6.8627788E-01  2.6521891E+00  6.9358263E-01  6.9861971E-01  3.4814658E-01  1.2274580E-01  3.5000000E-09  0.0000000E+00  1.7263945E-02
  0.0000000E+00  2.7000000E-09  1.9962101E-01  4.1950360E-01  7.5607251E-01  7.5699310E-01  4.8107211E+00  7.6492220E-01  7.7028818E-01  4.1868073E-01  1.9962101E-01  3.4000000E-09  0.0000000E+00  1.9846533E-02
  0.0000000E+00  2.1000000E-09  2.8413121E-01  4.9986662E-01  8.3482997E-01  8.3591126E-01  7.2234764E+00  8.4442630E-01  8.5010485E-01  4.9901504E-01  2.8413121E-01  2.7000000E-09  0.0000000E+00  2.2437745E-02
  0.0000000E+00  4.2000000E-09  3.7485589E-01  5.8705937E-01  9.2028353E-01  9.2151913E-01  9.8419711E+00  9.3058649E-01  9.3656307E-01  5.8618664E-01  3.7485589E-01  4.2000000E-09  0.0000000E+00  2.5037647E-02
  0.0000000E+00  3.0000000E-09  4.7068480E-01  6.7970895E-01  1.0112509E+00  1.0126349E+00  1.2628945E+01  1.0222250E+00  1.0284867E+00  6.7881652E-01  4.7068480E-01  2.7000000E-09  0.0000000E+00  2.7646305E-02
  0.0000000E+00  3.0565039E-02  5.6930515E-01  7.7546806E-01  1.1053948E+00  1.1069211E+00  1.5492659E+01  1.1170047E+00  1.1235385E+00  7.7455735E-01  5.6930515E-01  3.0565039E-02  0.0000000E+00  3.0263520E-02
  0.0000000E+00  1.3413322E-01  6.6858419E-01  8.7216962E-01  1.2005525E+00  1.2022152E+00  1.8323507E+01  1.2127650E+00  1.2195584E+00  8.7124199E-01  6.6858419E-01  1.3413322E-01  0.0000000E+00  3.2889265E-02
  0.0000000E+00  2.4101689E-01  7.7142900E-01  9.7263085E-01  1.2995116E+00  1.3013068E+00  2.1236988E+01  1.3123052E+00  1.3193507E+00  9.7168718E-01  7.7142900E-01  2.4101689E-01  0.0000000E+00  3.5524400E-02
  0.0000000E+00  3.5069929E-01  8.7729647E-01  1.0762853E+00  1.4017049E+00  1.4036290E+00  2.4216988E+01  1.4150596E+00  1.4223503E+00  1.0753264E+00  8.7729647E-01  3.5069929E-01  0.0000000E+00  3.8168995E-02
  0.0000000E+00  4.6273998E-01  9.8572375E-01  1.1826504E+00  1.5066490E+00  1.5086984E+00  2.7249384E+01  1.5205463E+00  1.5280757E+00  1.1816769E+00  9.8572375E-01  4.6273998E-01  0.0000000E+00  4.0823131E-02
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  5.7790043E-01  2.8492326E+00  3.3241922E+00  3.4967898E+00  3.7987335E+00  3.8028614E+00  8.6901608E+01  3.8210494E+00  3.8323709E+00  3.4956178E+00  3.3241922E+00  2.8492326E+00  5.7790043E-01  9.6002646E-02
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  0.0000000E+00  5.0000000E-09  6.5910417E-17  2.1316457E-01  5.3603268E-01  5.3664798E-01  2.8275569E-01  5.4490270E-01  5.5023184E-01  2.1246064E-01  6.5910417E-17  5.2000000E-09  0.0000000E+00  1.0702767E-02
  0.0000000E+00  5.0000000E-09  5.3672399E-02  2.5348296E-01  5.8208908E-01  5.8291713E-01  1.0228136E+00  5.9203512E-01  5.9781014E-01  2.5271890E-01  5.3672399E-02  5.2000000E-09  0.0000000E+00  1.3093171E-02
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  0.0000000E+00  4.5000000E-09  1.8877048E-01  3.7195344E-01  7.0401277E-01  7.0527684E-01  4.6707265E+00  7.1595284E-01  7.2258128E-01  3.7100127E-01  1.8877048E-01  4.6000000E-09  0.0000000E+00  1.7872113E-02
  0.0000000E+00  4.6000000E-09  2.6630127E-01  4.4671601E-01  7.7589469E-01  7.7736111E-01  6.9030326E+00  7.8873876E-01  7.9576054E-01  4.4573034E-01  2.6630127E-01  4.9000000E-09  0.0000000E+00  2.0273543E-02
  0.0000000E+00  4.5000000E-09  3.4869269E-01  5.2672335E-01  8.5312342E-01  8.5478312E-01  9.2897919E+00  8.6681977E-01  8.7421597E-01  5.2571370E-01  3.4869269E-01  4.5000000E-09  0.0000000E+00  2.2683025E-02
  0.0000000E+00  4.4000000E-09  4.3498210E-01  6.1085895E-01  9.3466220E-01  9.3650689E-01  1.1798288E+01  9.4916515E-01  9.5691891E-01  6.0982705E-01  4.3498210E-01  4.8000000E-09  0.0000000E+00  2.5100618E-02
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  0.0000000E+00  2.1508960E-01  7.0302217E-01  8.7356776E-01  1.1905500E+00  1.1929023E+00  1.9375624E+01  1.2072255E+00  1.2159583E+00  8.7247855E-01  7.0302217E-01  2.1508960E-01  0.0000000E+00  3.2401735E-02
  0.0000000E+00  3.1196928E-01  7.9629182E-01  9.6532103E-01  1.2802550E+00  1.2827651E+00  2.1955196E+01  1.2975967E+00  1.3066347E+00  9.6421490E-01  7.9629182E-01  3.1196928E-01  0.0000000E+00  3.4852646E-02
  0.0000000E+00  4.1039003E-01  8.9129184E-01  1.0589049E+00  1.3718803E+00  1.3745435E+00  2.4562044E+01  1.3898650E+00  1.3991997E+00  1.0577827E+00  8.9129184E-01  4.1039003E-01  0.0000000E+00  3.7312394E-02
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  0.0000000E+00  6.1066881E-01  1.0852273E+00  1.2502673E+00  1.5595663E+00  1.5625228E+00  2.9819981E+01  1.5787735E+00  1.5886785E+00  1.2491153E+00  1.0852273E+00  6.1066881E-01  0.0000000E+00  4.2258690E-02
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  0.0000000E+00  8.1395857E-01  1.2827432E+00  1.4455003E+00  1.7514044E+00  1.7546383E+00  3.5087315E+01  1.7717594E+00  1.7822073E+00  1.4443211E+00  1.2827432E+00  8.1395857E-01  0.0000000E+00  4.7241198E-02
  0.0000000E+00  9.1626091E-01  1.3823430E+00  1.5440508E+00  1.8483504E+00  1.8517175E+00  3.7709921E+01  1.8692541E+00  1.8799643E+00  1.5428589E+00  1.3823430E+00  9.1626091E-01  0.0000000E+00  4.9746213E-02
  0.0000000E+00  1.0187994E+00  1.4822889E+00  1.6430018E+00  1.9457536E+00  1.9492504E+00  4.0319120E+01  1.9671907E+00  1.9781575E+00  1.6417977E+00  1.4822889E+00  1.0187994E+00  0.0000000E+00  5.2260510E-02
  0.0000000E+00  1.1214469E+00  1.5824457E+00  1.7422132E+00  2.0434699E+00  2.0470931E+00  4.2911259E+01  2.0654259E+00  2.0766441E+00  1.7409974E+00  1.5824457E+00  1.1214469E+00  0.0000000E+00  5.4784160E-02
  0.0000000E+00  1.2240927E+00  1.6826950E+00  1.8415628E+00  2.1413737E+00  2.1451203E+00  4.5483280E+01  2.1638351E+00  2.1752997E+00  1.8403357E+00  1.6826950E+00  1.2240927E+00  0.0000000E+00  5.7317240E-02
  0.0000000E+00  1.3266397E+00  1.7829333E+00  1.9409432E+00  2.2393547E+00  2.2432218E+00  4.8032626E+01  2.2623086E+00  2.2740150E+00  1.9397053E+00  1.7829333E+00  1.3266397E+00  0.0000000E+00  5.9859829E-02
  0.0000000E+00  1.4290034E+00  1.8830699E+00  2.0402607E+00  2.3373165E+00  2.3413010E+00  5.0557175E+01  2.3607506E+00  2.3726944E+00  2.0390124E+00  1.8830699E+00  1.4290034E+00  0.0000000E+00  6.2412006E-02
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  0.0000000E+00  1.6328936E+00  2.0827301E+00  2.2383879E+00  2.5328533E+00  2.5370646E+00  5.5525241E+01  2.5572139E+00  2.5696200E+00  2.2371199E+00  2.0827301E+00  1.6328936E+00  0.0000000E+00  6.7545459E-02
  0.0000000E+00  1.7342983E+00  2.1821224E+00  2.3370612E+00  2.6302872E+00  2.6346080E+00  5.7966179E+01  2.6550951E+00  2.6677266E+00  2.3357838E+00  2.1821224E+00  1.7342983E+00  0.0000000E+00  7.0126886E-02
  0.0000000E+00  1.8352738E+00  2.2811484E+00  2.4353971E+00  2.7274185E+00  2.7318462E+00  6.0377101E+01  2.7526637E+00  2.7655171E+00  2.4341107E+00  2.2811484E+00  1.8352738E+00  0.0000000E+00  7.2718228E-02
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  1.7174048E+00  3.5459990E+00  3.9642519E+00  4.1095892E+00  4.3840670E+00  4.3901853E+00  9.5873298E+01  4.4160378E+00  4.4323748E+00  4.1081783E+00  3.9642519E+00  3.5459990E+00  1.7174048E+00  1.2125942E-01
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  2.1951297E+00  3.9831245E+00  4.3953851E+00  4.5389839E+00  4.8096145E+00  4.8160798E+00  1.0415293E+02  4.8431152E+00  4.8603629E+00  4.5375473E+00  4.3953851E+00  3.9831245E+00  2.1951297E+00  1.3552286E-01
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  0.0000000E+00  4.1000000E-09  5.1980551E-02  2.2878424E-01  5.3879725E-01  5.4004190E-01  1.0563283E+00  5.5248849E-01  5.5969539E-01  2.2785252E-01  5.1980551E-02  5.0000000E-09  0.0000000E+00  1.1834905E-02
  0.0000000E+00  4.9000000E-09  1.1207475E-01  2.7981392E-01  5.9223179E-01  5.9375865E-01  2.7082278E+00  6.0715124E-01  6.1490667E-01  2.7879915E-01  1.1207475E-01  4.2000000E-09  0.0000000E+00  1.4045235E-02
  0.0000000E+00  5.6000000E-09  1.7831515E-01  3.3815100E-01  6.5250131E-01  6.5429452E-01  4.6102860E+00  6.6856313E-01  6.7683556E-01  3.3705944E-01  1.7831515E-01  4.2000000E-09  0.0000000E+00  1.6262914E-02
  0.0000000E+00  4.4000000E-09  2.4927394E-01  4.0517119E-01  7.1805300E-01  7.2009842E-01  6.6569383E+00  7.3518303E-01  7.4394475E-01  4.0402084E-01  2.4927394E-01  4.8000000E-09  0.0000000E+00  1.8487997E-02
  0.0000000E+00  5.3000000E-09  3.2388514E-01  4.7816402E-01  7.8772748E-01  7.9001251E-01  8.8141501E+00  8.0586118E-01  8.1508766E-01  4.7698726E-01  3.2388514E-01  4.1000000E-09  0.0000000E+00  2.0720539E-02
  0.0000000E+00  5.2000000E-09  4.0133242E-01  5.5414820E-01  8.6063669E-01  8.6314998E-01  1.1053621E+01  8.7971736E-01  8.8938683E-01  5.5294709E-01  4.0133242E-01  5.6000000E-09  0.0000000E+00  2.2960597E-02
  0.0000000E+00  2.4605154E-02  4.8009159E-01  6.3158477E-01  9.3523004E-01  9.3796005E-01  1.3301272E+01  9.5520227E-01  9.6529276E-01  6.3036129E-01  4.8009159E-01  2.4605154E-02  0.0000000E+00  2.5208008E-02
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  0.0000000E+00  1.5709099E+00  1.9787352E+00  2.1166431E+00  2.3873435E+00  2.3929596E+00  5.1464784E+01  2.4188223E+00  2.4347181E+00  2.1151740E+00  1.9787352E+00  1.5709099E+00  0.0000000E+00  6.7080999E-02
  1.6671495E-16  1.6541185E+00  2.0601382E+00  2.1975785E+00  2.4670156E+00  2.4727551E+00  5.3354886E+01  2.4989821E+00  2.5151410E+00  2.1961005E+00  2.0601382E+00  1.6541185E+00  1.6671495E-16  6.9491245E-02
  3.3954440E-02  1.7365462E+00  2.1408185E+00  2.2778450E+00  2.5459586E+00  2.5519188E+00  5.5154673E+01  2.5785015E+00  2.5948185E+00  2.2763586E+00  2.1408185E+00  1.7365462E+00  3.3954440E-02  7.1907436E-02
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  2.1812655E-01  1.8990162E+00  2.2999479E+00  2.4361374E+00  2.7019117E+00  2.7081034E+00  5.8466548E+01  2.7353752E+00  2.7521977E+00  2.4346350E+00  2.2999479E+00  1.8990162E+00  2.1812655E-01  7.6759557E-02
  3.0880449E-01  1.9792964E+00  2.3786204E+00  2.5144117E+00  2.7790600E+00  2.7853640E+00  6.0083583E+01  2.8129712E+00  2.8300419E+00  2.5129017E+00  2.3786204E+00  1.9792964E+00  3.0880449E-01  7.9202636E-02
  3.9854777E-01  2.0589243E+00  2.4566797E+00  2.5920853E+00  2.8556352E+00  2.8620491E+00  6.1674793E+01  2.8899860E+00  2.9073020E+00  2.5905679E+00  2.4566797E+00  2.0589243E+00  3.9854777E-01  8.1657220E-02
  4.8736068E-01  2.1378905E+00  2.5341147E+00  2.6691466E+00  2.9316240E+00  2.9381458E+00  6.3240328E+01  2.9664069E+00  2.9839654E+00  2.6676220E+00  2.5341147E+00  2.1378905E+00  4.8736068E-01  8.4123427E-02
  5.7524856E-01  2.2161876E+00  2.6109162E+00  2.7455859E+00  3.0070162E+00  3.0136437E+00  6.4780376E+01  3.0422235E+00  3.0600218E+00  2.7440544E+00  2.6109162E+00  2.2161876E+00  5.7524856E-01  8.6601381E-02
  6.6221747E-01  2.2938098E+00  2.6870771E+00  2.8213955E+00  3.0818026E+00  3.0885337E+00  6.6295167E+01  3.1174273E+00  3.1354628E+00  2.8198572E+00  2.6870771E+00  2.2938098E+00  6.6221747E-01  8.9091206E-02
  7.4827402E-01  2.3707528E+00  2.7625913E+00  2.8965688E+00  3.1559758E+00  3.1628086E+00  6.7784955E+01  3.1920109E+00  3.2102813E+00  2.8950240E+00  2.7625913E+00  2.3707528E+00  7.4827402E-01  9.1593029E-02
  8.3342560E-01  2.4470136E+00  2.8374546E+00  2.9711012E+00  3.2295303E+00  3.2364626E+00  6.9250025E+01  3.2659689E+00  3.2844718E+00  2.9695500E+00  2.8374546E+00  2.4470136E+00  8.3342560E-01  9.4106975E-02
  9.1768013E-01  2.5225903E+00  2.9116639E+00  3.0449890E+00  3.3024615E+00  3.3094915E+00  7.0690680E+01  3.3392972E+00  3.3580302E+00  3.0434317E+00  2.9116639E+00  2.5225903E+00  9.1768013E-01  9.6633178E-02
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  1.0835307E+00  2.6716886E+00  3.0581125E+00  3.1908218E+00  3.4464417E+00  3.4536614E+00  7.3500044E+01  3.4840527E+00  3.5032396E+00  3.1892526E+00  3.0581125E+00  2.6716886E+00  1.0835307E+00  1.0172289E-01
  1.1651443E+00  2.7452111E+00  3.1303506E+00  3.2627648E+00  3.5174873E+00  3.5247990E+00  7.4869435E+01  3.5554768E+00  3.5748877E+00  3.2611900E+00  3.1303506E+00  2.7452111E+00  1.1651443E+00  1.0428666E-01
  1.2458957E+00  2.8180513E+00  3.2019319E+00  3.3340591E+00  3.5879025E+00  3.5953044E+00  7.6215777E+01  3.6262647E+00  3.6458975E+00  3.3324787E+00  3.2019319E+00  2.8180513E+00  1.2458957E+00  1.0686324E-01
  1.3257941E+00  2.8902111E+00  3.2728574E+00  3.4047055E+00  3.6576874E+00  3.6651777E+00  7.7539427E+01  3.6964167E+00  3.7162696E+00  3.4031197E+00  3.2728574E+00  2.8902111E+00  1.3257941E+00  1.0945275E-01
  1.4048491E+00  2.9616935E+00  3.3431293E+00  3.4747056E+00  3.7268431E+00  3.7344202E+00  7.8840757E+01  3.7659339E+00  3.7860052E+00  3.4731147E+00  3.3431293E+00  2.9616935E+00  1.4048491E+00  1.1205536E-01
  1.4830704E+00  3.0325018E+00  3.4127499E+00  3.5440618E+00  3.7953713E+00  3.8030334E+00  8.0120137E+01  3.8348183E+00  3.8551062E+00  3.5424657E+00  3.4127499E+00  3.0325018E+00  1.4830704E+00  1.1467119E-01
  1.5604678E+00  3.1026399E+00  3.4817223E+00  3.6127768E+00  3.8632742E+00  3.8710197E+00  8.1377944E+01  3.9030722E+00  3.9235750E+00  3.6111758E+00  3.4817223E+00  3.1026399E+00  1.5604678E+00  1.1730041E-01
  1.6370511E+00  3.1721117E+00  3.5500498E+00  3.6808536E+00  3.9305543E+00  3.9383814E+00  8.2614550E+01  3.9706981E+00  3.9914144E+00  3.6792477E+00  3.5500498E+00  3.1721117E+00  1.6370511E+00  1.1994316E-01
  1.7128303E+00  3.2409220E+00  3.6177363E+00  3.7482960E+00  3.9972148E+00  4.0051220E+00  8.3830331E+01  4.0376996E+00  4.0586277E+00  3.7466854E+00  3.6177363E+00  3.2409220E+00  1.7128303E+00  1.2259960E-01
  1.7878152E+00  3.3090754E+00  3.6847858E+00  3.8151076E+00  4.0632591E+00  4.0712447E+00  8.5025659E+01  4.1040798E+00  4.1252184E+00  3.8134924E+00  3.6847858E+00  3.3090754E+00  1.7878152E+00  1.2526989E-01
  1.8620158E+00  3.3765773E+00  3.7512028E+00  3.8812930E+00  4.1286911E+00  4.1367535E+00  8.6200907E+01  4.1698431E+00  4.1911906E+00  3.8796734E+00  3.7512028E+00  3.3765773E+00  1.8620158E+00  1.2795417E-01
  0.0000000E+00  5.2000000E-09  6.1562034E-17  1.7039626E-01  4.5268014E-01  4.5413572E-01  2.5011264E-01  4.6978336E-01  4.7806104E-01  1.6941863E-01  6.1562034E-17  4.3000000E-09  0.0000000E+00  8.8574167E-03
  0.0000000E+00  5.3000000E-09  5.0140808E-02  2.1054034E-01  4.9594173E-01  4.9779532E-01  1.2430062E+00  5.1445254E-01  5.2347599E-01  2.0939100E-01  5.0140808E-02  4.5000000E-09  0.0000000E+00  1.0902195E-02
  0.0000000E+00  5.4000000E-09  1.0665684E-01  2.5878908E-01  5.4618842E-01  5.4838963E-01  2.8474462E+00  5.6611710E-01  5.7581300E-01  2.5758737E-01  1.0665684E-01  4.7000000E-09  0.0000000E+00  1.2950690E-02
  0.0000000E+00  5.4000000E-09  1.6786617E-01  3.1323154E-01  6.0178412E-01  6.0431247E-01  4.6017545E+00  6.2302892E-01  6.3335830E-01  3.1194454E-01  1.6786617E-01  4.9000000E-09  0.0000000E+00  1.5005995E-02
  0.0000000E+00  4.1000000E-09  2.3256192E-01  3.7299038E-01  6.6140237E-01  6.6423965E-01  6.4588719E+00  6.8387558E-01  6.9480413E-01  3.7164868E-01  2.3256192E-01  4.8000000E-09  0.0000000E+00  1.7068160E-02
  0.0000000E+00  4.9000000E-09  2.9985241E-01  4.3912681E-01  7.2406201E-01  7.2719203E-01  8.3892980E+00  7.4768746E-01  7.5918481E-01  4.3775288E-01  2.9985241E-01  5.7000000E-09  0.0000000E+00  1.9137237E-02
  0.0000000E+00  5.5000000E-09  3.6906324E-01  5.0728783E-01  7.8901994E-01  7.9242814E-01  1.0369244E+01  8.1373089E-01  8.2577002E-01  5.0588801E-01  3.6906324E-01  4.8000000E-09  0.0000000E+00  2.1213276E-02
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  0.0000000E+00  9.5213293E-02  5.0855310E-01  6.4495389E-01  9.2103071E-01  9.2495083E-01  1.4207794E+01  9.4772041E-01  9.6076192E-01  6.4350896E-01  5.0855310E-01  9.5213293E-02  0.0000000E+00  2.5385782E-02
  0.0000000E+00  1.6929111E-01  5.7914195E-01  7.1473156E-01  9.8825658E-01  9.9241623E-01  1.6089937E+01  1.0158650E+00  1.0293784E+00  7.1326656E-01  5.7914195E-01  1.6929111E-01  0.0000000E+00  2.7482901E-02
  0.0000000E+00  2.4390507E-01  6.5045876E-01  7.8528846E-01  1.0564029E+00  1.0607936E+00  1.7971733E+01  1.0848936E+00  1.0988640E+00  7.8380464E-01  6.5045876E-01  2.4390507E-01  0.0000000E+00  2.9587543E-02
  0.0000000E+00  3.1883333E-01  7.2226250E-01  8.5637801E-01  1.1252091E+00  1.1298230E+00  1.9846558E+01  1.1545488E+00  1.1689625E+00  8.5487651E-01  7.2226250E-01  3.1883333E-01  0.0000000E+00  3.1699770E-02
  0.0000000E+00  3.9389307E-01  7.9435400E-01  9.2779618E-01  1.1944593E+00  1.1992889E+00  2.1709026E+01  1.2246172E+00  1.2394614E+00  9.2627804E-01  7.9435400E-01  3.9389307E-01  0.0000000E+00  3.3819640E-02
  0.0000000E+00  4.6893263E-01  8.6656731E-01  9.9937299E-01  1.2639731E+00  1.2690115E+00  2.3554772E+01  1.2949208E+00  1.3101835E+00  9.9783913E-01  8.6656731E-01  4.6893263E-01  0.0000000E+00  3.5947218E-02
  0.0000000E+00  5.4382601E-01  9.3876395E-01  1.0709664E+00  1.3335994E+00  1.3388400E+00  2.5380290E+01  1.3653105E+00  1.3809806E+00  1.0694177E+00  9.3876395E-01  5.4382601E-01  0.0000000E+00  3.8082563E-02
  0.0000000E+00  6.1846828E-01  1.0108281E+00  1.1424576E+00  1.4032114E+00  1.4086481E+00  2.7182798E+01  1.4356614E+00  1.4517285E+00  1.1408948E+00  1.0108281E+00  6.1846828E-01  0.0000000E+00  4.0225737E-02
  0.0000000E+00  6.9277191E-01  1.0826627E+00  1.2137467E+00  1.4727022E+00  1.4783290E+00  2.8960103E+01  1.5058681E+00  1.5223225E+00  1.2121706E+00  1.0826627E+00  6.9277191E-01  0.0000000E+00  4.2376802E-02
  0.0000000E+00  7.6666375E-01  1.1541860E+00  1.2847498E+00  1.5419817E+00  1.5477933E+00  3.0710508E+01  1.5758423E+00  1.5926747E+00  1.2831611E+00  1.1541860E+00  7.6666375E-01  0.0000000E+00  4.4535830E-02
  0.0000000E+00  8.4008298E-01  1.2253297E+00  1.3553965E+00  1.6109740E+00  1.6169650E+00  3.2432737E+01  1.6455090E+00  1.6627109E+00  1.3537958E+00  1.2253297E+00  8.4008298E-01  0.0000000E+00  4.6702882E-02
  0.0000000E+00  9.1297889E-01  1.2960363E+00  1.4256275E+00  1.6796145E+00  1.6857801E+00  3.4125849E+01  1.7148052E+00  1.7323683E+00  1.4240152E+00  1.2960363E+00  9.1297889E-01  0.0000000E+00  4.8878021E-02
  0.0000000E+00  9.8530943E-01  1.3662576E+00  1.4953929E+00  1.7478493E+00  1.7541846E+00  3.5789187E+01  1.7836778E+00  1.8015945E+00  1.4937698E+00  1.3662576E+00  9.8530943E-01  0.0000000E+00  5.1061318E-02
  0.0000000E+00  1.0570399E+00  1.4359534E+00  1.5646512E+00  1.8156326E+00  1.8221331E+00  3.7422331E+01  1.8520822E+00  1.8703452E+00  1.5630176E+00  1.4359534E+00  1.0570399E+00  0.0000000E+00  5.3252838E-02
  0.0000000E+00  1.1281419E+00  1.5050907E+00  1.6333678E+00  1.8829262E+00  1.8895877E+00  3.9025061E+01  1.9199810E+00  1.9385834E+00  1.6317243E+00  1.5050907E+00  1.1281419E+00  0.0000000E+00  5.5452651E-02
  0.0000000E+00  1.1985924E+00  1.5736418E+00  1.7015144E+00  1.9496988E+00  1.9565170E+00  4.0597315E+01  1.9873437E+00  2.0062789E+00  1.6998613E+00  1.5736418E+00  1.1985924E+00  0.0000000E+00  5.7660835E-02
  0.0000000E+00  1.2683727E+00  1.6415838E+00  1.7690664E+00  2.0159223E+00  2.0228933E+00  4.2139151E+01  2.0541431E+00  2.0734050E+00  1.7674042E+00  1.6415838E+00  1.2683727E+00  0.0000000E+00  5.9877440E-02
  0.0000000E+00  1.3374682E+00  1.7088985E+00  1.8360051E+00  2.0815754E+00  2.0886955E+00  4.3650749E+01  2.1203586E+00  2.1399411E+00  1.8343342E+00  1.7088985E+00  1.3374682E+00  0.0000000E+00  6.2102548E-02
  1.3779795E-16  1.4058678E+00  1.7755715E+00  1.9023150E+00  2.1466403E+00  2.1539058E+00  4.5132378E+01  2.1859729E+00  2.2058705E+00  1.9006358E+00  1.7755715E+00  1.4058678E+00  1.3779795E-16  6.4336232E-02
  2.8064982E-02  1.4734665E+00  1.8414994E+00  1.9679262E+00  2.2109547E+00  2.2184548E+00  4.6534960E+01  2.2509162E+00  2.2710298E+00  1.9662389E+00  1.8414994E+00  1.4734665E+00  2.8064982E-02  6.6575421E-02
  1.0443652E-01  1.5402061E+00  1.9066212E+00  2.0327169E+00  2.2745814E+00  2.2822190E+00  4.7825178E+01  2.3150655E+00  2.3354828E+00  2.0310219E+00  1.9066212E+00  1.5402061E+00  1.0443652E-01  6.8818534E-02
  1.7984671E-01  1.6062591E+00  1.9710978E+00  2.0968723E+00  2.3376039E+00  2.3453760E+00  4.9090952E+01  2.3786008E+00  2.3993176E+00  2.0951700E+00  1.9710978E+00  1.6062591E+00  1.7984671E-01  7.1072079E-02
  2.5430623E-01  1.6716222E+00  2.0349239E+00  2.1603868E+00  2.4000151E+00  2.4079189E+00  5.0332560E+01  2.4415151E+00  2.4625276E+00  2.1586775E+00  2.0349239E+00  1.6716222E+00  2.5430623E-01  7.3336166E-02
  3.2782631E-01  1.7362938E+00  2.0980959E+00  2.2232565E+00  2.4618097E+00  2.4698425E+00  5.1550316E+01  2.5038037E+00  2.5251080E+00  2.2215403E+00  2.0980959E+00  1.7362938E+00  3.2782631E-01  7.5610901E-02
  4.0041846E-01  1.8002734E+00  2.1606117E+00  2.2854788E+00  2.5229837E+00  2.5311429E+00  5.2744556E+01  2.5654630E+00  2.5870553E+00  2.2837560E+00  2.1606117E+00  1.8002734E+00  4.0041846E-01  7.7896399E-02
  4.7209468E-01  1.8635619E+00  2.2224706E+00  2.3470524E+00  2.5835350E+00  2.5918179E+00  5.3915635E+01  2.6264908E+00  2.6483678E+00  2.3453233E+00  2.2224706E+00  1.8635619E+00  4.7209468E-01  8.0192772E-02
  5.4286717E-01  1.9261610E+00  2.2836728E+00  2.4079774E+00  2.6434622E+00  2.6518664E+00  5.5063932E+01  2.6868864E+00  2.7090446E+00  2.4062421E+00  2.2836728E+00  1.9261610E+00  5.4286717E-01  8.2500131E-02
  6.1274834E-01  1.9880734E+00  2.3442196E+00  2.4682546E+00  2.7027652E+00  2.7112882E+00  5.6189830E+01  2.7466497E+00  2.7690860E+00  2.4665134E+00  2.3442196E+00  1.9880734E+00  6.1274834E-01  8.4818599E-02
  6.8175075E-01  2.0493026E+00  2.4041131E+00  2.5278858E+00  2.7614449E+00  2.7700842E+00  5.7293726E+01  2.8057820E+00  2.8284932E+00  2.5261389E+00  2.4041131E+00  2.0493026E+00  6.8175075E-01  8.7148289E-02
  7.4988709E-01  2.1098527E+00  2.4633564E+00  2.5868739E+00  2.8195031E+00  2.8282565E+00  5.8376031E+01  2.8642854E+00  2.8872684E+00  2.5851214E+00  2.4633564E+00  2.1098527E+00  7.4988709E-01  8.9489324E-02
  8.1717013E-01  2.1697285E+00  2.5219528E+00  2.6452219E+00  2.8769421E+00  2.8858073E+00  5.9437152E+01  2.9221623E+00  2.9454143E+00  2.6434641E+00  2.5219528E+00  2.1697285E+00  8.1717013E-01  9.1841824E-02
  8.8361254E-01  2.2289352E+00  2.5799067E+00  2.7029338E+00  2.9337650E+00  2.9427397E+00  6.0477499E+01  2.9794161E+00  3.0029342E+00  2.7011708E+00  2.5799067E+00  2.2289352E+00  8.8361254E-01  9.4205918E-02
  9.4922702E-01  2.2874783E+00  2.6372225E+00  2.7600139E+00  2.9899754E+00  2.9990575E+00  6.1497485E+01  3.0360505E+00  3.0598321E+00  2.7582460E+00  2.6372225E+00  2.2874783E+00  9.4922702E-01  9.6581728E-02
  1.0140264E+00  2.3453641E+00  2.6939054E+00  2.8164672E+00  3.0455776E+00  3.0547649E+00  6.2497523E+01  3.0920701E+00  3.1161125E+00  2.8146944E+00  2.6939054E+00  2.3453641E+00  1.0140264E+00  9.8969385E-02
  1.0780231E+00  2.4025989E+00  2.7499608E+00  2.8722989E+00  3.1005759E+00  3.1098664E+00  6.3478024E+01  3.1474794E+00  3.1717801E+00  2.8705214E+00  2.7499608E+00  2.4025989E+00  1.0780231E+00  1.0136902E-01
  1.1412298E+00  2.4591891E+00  2.8053945E+00  2.9275144E+00  3.1549753E+00  3.1643669E+00  6.4439395E+01  3.2022836E+00  3.2268402E+00  2.9257324E+00  2.8053945E+00  2.4591891E+00  1.1412298E+00  1.0378076E-01
  1.2036589E+00  2.5151417E+00  2.8602123E+00  2.9821196E+00  3.2087810E+00  3.2182717E+00  6.5382035E+01  3.2564879E+00  3.2812980E+00  2.9803332E+00  2.8602123E+00  2.5151417E+00  1.2036589E+00  1.0620475E-01
  1.2653226E+00  2.5704638E+00  2.9144208E+00  3.0361207E+00  3.2619987E+00  3.2715865E+00  6.6306348E+01  3.3100982E+00  3.3351597E+00  3.0343301E+00  2.9144208E+00  2.5704638E+00  1.2653226E+00  1.0864112E-01
  1.3262332E+00  2.6251624E+00  2.9680263E+00  3.0895239E+00  3.3146339E+00  3.3243168E+00  6.7212727E+01  3.3631203E+00  3.3884310E+00  3.0877292E+00  2.9680263E+00  2.6251624E+00  1.3262332E+00  1.1109001E-01
  1.3864028E+00  2.6792451E+00  3.0210354E+00  3.1423356E+00  3.3666926E+00  3.3764689E+00  6.8101557E+01  3.4155604E+00  3.4411181E+00  3.1405369E+00  3.0210354E+00  2.6792451E+00  1.3864028E+00  1.1355157E-01
  1.4458431E+00  2.7327190E+00  3.0734547E+00  3.1945625E+00  3.4181809E+00  3.4280486E+00  6.8973224E+01  3.4674245E+00  3.4932272E+00  3.1927600E+00  3.0734547E+00  2.7327190E+00  1.4458431E+00  1.1602594E-01
  1.5045659E+00  2.7855917E+00  3.1252913E+00  3.2462113E+00  3.4691052E+00  3.4790624E+00  6.9828099E+01  3.5187191E+00  3.5447650E+00  3.2444050E+00  3.1252913E+00  2.7855917E+00  1.5045659E+00  1.1851326E-01
  0.0000000E+00  2.5000000E-09  5.8996664E-17  1.5546025E-01  4.1352030E-01  4.1560645E-01  3.1034606E-01  4.3590440E-01  4.4614339E-01  1.5425149E-01  5.8996664E-17  2.4000000E-09  0.0000000E+00  8.2425752E-03
  0.0000000E+00  2.5000000E-09  4.8050246E-02  1.9500809E-01  4.5507323E-01  4.5756830E-01  1.4693434E+00  4.7927440E-01  4.9034116E-01  1.9365929E-01  4.8050246E-02  2.4000000E-09  0.0000000E+00  1.0122007E-02
  0.0000000E+00  4.9000000E-09  1.0092648E-01  2.4081309E-01  5.0212170E-01  5.0505239E-01  2.9746854E+00  5.2794235E-01  5.3983753E-01  2.3940730E-01  1.0092648E-01  4.4000000E-09  0.0000000E+00  1.2019414E-02
  0.0000000E+00  4.9000000E-09  1.5721902E-01  2.9110653E-01  5.5319724E-01  5.5653856E-01  4.5787466E+00  5.8051968E-01  5.9319674E-01  2.8960021E-01  1.5721902E-01  4.4000000E-09  0.0000000E+00  1.3923127E-02
  0.0000000E+00  1.7000000E-09  2.1592804E-01  3.4551872E-01  6.0718875E-01  6.1091809E-01  6.2497646E+00  6.3591154E-01  6.4932895E-01  3.4394301E-01  2.1592804E-01  1.8000000E-09  0.0000000E+00  1.5833192E-02
  0.0000000E+00  3.5000000E-09  2.7632580E-01  4.0506225E-01  6.6328523E-01  6.6738212E-01  7.9627653E+00  6.9332028E-01  7.0744084E-01  4.0345756E-01  2.7632580E-01  2.7000000E-09  0.0000000E+00  1.7749656E-02
  0.0000000E+00  2.6000000E-09  3.3786910E-01  4.6582307E-01  7.2087938E-01  7.2532523E-01  9.6983161E+00  7.5214951E-01  7.6693989E-01  4.6419207E-01  3.3786910E-01  1.8000000E-09  0.0000000E+00  1.9672567E-02
  0.0000000E+00  1.9465463E-02  3.9961485E-01  5.2685217E-01  7.7900402E-01  7.8377953E-01  1.1399611E+01  8.1143365E-01  8.2685962E-01  5.2519737E-01  3.9961485E-01  1.9465463E-02  0.0000000E+00  2.1601786E-02
  0.0000000E+00  8.4139395E-02  4.6074766E-01  5.8732782E-01  8.3681606E-01  8.4190197E-01  1.3003408E+01  8.7033341E-01  8.8636160E-01  5.8565160E-01  4.6074766E-01  8.4139395E-02  0.0000000E+00  2.3537299E-02
  0.0000000E+00  1.4905760E-01  5.2232975E-01  6.4829254E-01  8.9527807E-01  9.0066251E-01  1.4600035E+01  9.2983713E-01  9.4644720E-01  6.4659645E-01  5.2232975E-01  1.4905760E-01  0.0000000E+00  2.5479725E-02
  0.0000000E+00  2.1401873E-01  5.8413833E-01  7.0951907E-01  9.5414586E-01  9.5981772E-01  1.6183624E+01  9.8970460E-01  1.0068777E+00  7.0780452E-01  5.8413833E-01  2.1401873E-01  0.0000000E+00  2.7429116E-02
  0.0000000E+00  2.7886133E-01  6.4599375E-01  7.7082398E-01  1.0132217E+00  1.0191705E+00  1.7749558E+01  1.0497415E+00  1.0674601E+00  7.6909221E-01  6.4599375E-01  2.7886133E-01  0.0000000E+00  2.9385528E-02
  0.0000000E+00  3.4345508E-01  7.0774991E-01  8.3205800E-01  1.0723437E+00  1.0785598E+00  1.9294227E+01  1.1097892E+00  1.1280369E+00  8.3031015E-01  7.0774991E-01  3.4345508E-01  0.0000000E+00  3.1349018E-02
  0.0000000E+00  4.0769469E-01  7.6928783E-01  8.9309936E-01  1.1313796E+00  1.1378537E+00  2.0814855E+01  1.1697178E+00  1.1884793E+00  8.9133647E-01  7.6928783E-01  4.0769469E-01  0.0000000E+00  3.3319640E-02
  0.0000000E+00  4.7149530E-01  8.3051081E-01  9.5384904E-01  1.1902208E+00  1.1969443E+00  2.2309353E+01  1.2294214E+00  1.2486824E+00  9.5207204E-01  8.3051081E-01  4.7149530E-01  0.0000000E+00  3.5297453E-02
  0.0000000E+00  5.3478817E-01  8.9133963E-01  1.0142257E+00  1.2487779E+00  1.2557425E+00  2.3776173E+01  1.2888125E+00  1.3085595E+00  1.0124355E+00  8.9133963E-01  5.3478817E-01  0.0000000E+00  3.7282513E-02
  0.0000000E+00  5.9751825E-01  9.5171008E-01  1.0741634E+00  1.3069774E+00  1.3141754E+00  2.5214225E+01  1.3478197E+00  1.3680401E+00  1.0723607E+00  9.5171008E-01  5.9751825E-01  0.0000000E+00  3.9274878E-02
  0.0000000E+00  6.5964146E-01  1.0115699E+00  1.1336084E+00  1.3647594E+00  1.3721836E+00  2.6622782E+01  1.4063847E+00  1.4270666E+00  1.1317940E+00  1.0115699E+00  6.5964146E-01  0.0000000E+00  4.1274613E-02
  0.0000000E+00  7.2112274E-01  1.0708768E+00  1.1925169E+00  1.4220744E+00  1.4297178E+00  2.8001409E+01  1.4644596E+00  1.4855917E+00  1.1906914E+00  1.0708768E+00  7.2112274E-01  0.0000000E+00  4.3281774E-02
  0.0000000E+00  7.8193462E-01  1.1295968E+00  1.2508537E+00  1.4788821E+00  1.4867381E+00  2.9349908E+01  1.5220054E+00  1.5435771E+00  1.2490178E+00  1.1295968E+00  7.8193462E-01  0.0000000E+00  4.5296422E-02
  0.0000000E+00  8.4205618E-01  1.1877033E+00  1.3085911E+00  1.5351500E+00  1.5432124E+00  3.0668282E+01  1.5789910E+00  1.6009924E+00  1.3067452E+00  1.1877033E+00  8.4205618E-01  0.0000000E+00  4.7318620E-02
  0.0000000E+00  9.0147152E-01  1.2451750E+00  1.3657069E+00  1.5908520E+00  1.5991148E+00  3.1956679E+01  1.6353914E+00  1.6578128E+00  1.3638517E+00  1.2451750E+00  9.0147152E-01  0.0000000E+00  4.9348428E-02
  0.0000000E+00  9.6016921E-01  1.3019958E+00  1.4221841E+00  1.6459673E+00  1.6544248E+00  3.3215375E+01  1.6911868E+00  1.7140194E+00  1.4203200E+00  1.3019958E+00  9.6016921E-01  0.0000000E+00  5.1385911E-02
  0.0000000E+00  1.0181416E+00  1.3581539E+00  1.4780102E+00  1.7004803E+00  1.7091271E+00  3.4444740E+01  1.7463627E+00  1.7695977E+00  1.4761377E+00  1.3581539E+00  1.0181416E+00  0.0000000E+00  5.3431142E-02
  0.0000000E+00  1.0753840E+00  1.4136405E+00  1.5331755E+00  1.7543777E+00  1.7632086E+00  3.5645216E+01  1.8009065E+00  1.8245360E+00  1.5312950E+00  1.4136405E+00  1.0753840E+00  0.0000000E+00  5.5484165E-02
  0.0000000E+00  1.1318944E+00  1.4684503E+00  1.5876740E+00  1.8076510E+00  1.8166612E+00  3.6817312E+01  1.8548108E+00  1.8788268E+00  1.5857859E+00  1.4684503E+00  1.1318944E+00  0.0000000E+00  5.7545057E-02
  1.1308605E-16  1.1876731E+00  1.5225802E+00  1.6415022E+00  1.8602942E+00  1.8694788E+00  3.7961576E+01  1.9080700E+00  1.9324654E+00  1.6396069E+00  1.5225802E+00  1.1876731E+00  1.1308605E-16  5.9613885E-02
  2.3031969E-02  1.2426606E+00  1.5759722E+00  1.6946330E+00  1.9121946E+00  1.9216350E+00  3.9037643E+01  1.9606573E+00  1.9853376E+00  1.6927310E+00  1.5759722E+00  1.2426606E+00  2.3031969E-02  6.1687803E-02
  8.5596748E-02  1.2968275E+00  1.6285944E+00  1.7469783E+00  1.9634349E+00  1.9730396E+00  4.0018348E+01  2.0124829E+00  2.0375274E+00  1.7450698E+00  1.6285944E+00  1.2968275E+00  8.5596748E-02  6.3765344E-02
  1.4721699E-01  1.3502905E+00  1.6805522E+00  1.7986666E+00  2.0140491E+00  2.0238142E+00  4.0976850E+01  2.0636709E+00  2.0890741E+00  1.7967520E+00  1.6805522E+00  1.3502905E+00  1.4721699E-01  6.5852537E-02
  2.0790956E-01  1.4030541E+00  1.7318484E+00  1.8497005E+00  2.0640379E+00  2.0739599E+00  4.1913580E+01  2.1142228E+00  2.1399793E+00  1.8477799E+00  1.7318484E+00  1.4030541E+00  2.0790956E-01  6.7949480E-02
  2.6769137E-01  1.4551240E+00  1.7824867E+00  1.9000833E+00  2.1134037E+00  2.1234790E+00  4.2828985E+01  2.1641411E+00  2.1902459E+00  1.8981572E+00  1.7824867E+00  1.4551240E+00  2.6769137E-01  7.0056280E-02
  3.2657911E-01  1.5065064E+00  1.8324718E+00  1.9498194E+00  2.1621493E+00  2.1723744E+00  4.3723518E+01  2.2134290E+00  2.2398772E+00  1.9478879E+00  1.8324718E+00  1.5065064E+00  3.2657911E-01  7.2173032E-02
  3.8458951E-01  1.5572082E+00  1.8818090E+00  1.9989138E+00  2.2102787E+00  2.2206503E+00  4.4597633E+01  2.2620909E+00  2.2888778E+00  1.9969772E+00  1.8818090E+00  1.5572082E+00  3.8458951E-01  7.4299844E-02
  4.4173916E-01  1.6072369E+00  1.9305043E+00  2.0473725E+00  2.2577966E+00  2.2683115E+00  4.5451798E+01  2.3101319E+00  2.3372529E+00  2.0454310E+00  1.9305043E+00  1.6072369E+00  4.4173916E-01  7.6436821E-02
  4.9804439E-01  1.6566002E+00  1.9785643E+00  2.0952015E+00  2.3047080E+00  2.3153632E+00  4.6286470E+01  2.3575573E+00  2.3850080E+00  2.0932554E+00  1.9785643E+00  1.6566002E+00  4.9804439E-01  7.8584071E-02
  5.5352134E-01  1.7053062E+00  2.0259957E+00  2.1424076E+00  2.3510187E+00  2.3618110E+00  4.7102106E+01  2.4043731E+00  2.4321494E+00  2.1404570E+00  2.0259957E+00  1.7053062E+00  5.5352134E-01  8.0741702E-02
  6.0818599E-01  1.7533636E+00  2.0728060E+00  2.1889979E+00  2.3967350E+00  2.4076615E+00  4.7899162E+01  2.4505860E+00  2.4786837E+00  2.1870431E+00  2.0728060E+00  1.7533636E+00  6.0818599E-01  8.2909825E-02
  6.6205394E-01  1.8007809E+00  2.1190025E+00  2.2349796E+00  2.4418631E+00  2.4529209E+00  4.8678088E+01  2.4962024E+00  2.5246176E+00  2.2330207E+00  2.1190025E+00  1.8007809E+00  6.6205394E-01  8.5088554E-02
  7.1514066E-01  1.8475670E+00  2.1645933E+00  2.2803606E+00  2.4864099E+00  2.4975963E+00  4.9439327E+01  2.5412296E+00  2.5699585E+00  2.2783978E+00  2.1645933E+00  1.8475670E+00  7.1514066E-01  8.7278006E-02
  7.6746129E-01  1.8937308E+00  2.2095860E+00  2.3251484E+00  2.5303825E+00  2.5416946E+00  5.0183311E+01  2.5856747E+00  2.6147137E+00  2.3231819E+00  2.2095860E+00  1.8937308E+00  7.6746129E-01  8.9478291E-02
  8.1903082E-01  1.9392815E+00  2.2539891E+00  2.3693512E+00  2.5737882E+00  2.5852235E+00  5.0910478E+01  2.6295454E+00  2.6588909E+00  2.3673811E+00  2.2539891E+00  1.9392815E+00  8.1903082E-01  9.1689534E-02
  8.6986375E-01  1.9842280E+00  2.2978106E+00  2.4129770E+00  2.6166343E+00  2.6281901E+00  5.1621243E+01  2.6728491E+00  2.7024977E+00  2.4110035E+00  2.2978106E+00  1.9842280E+00  8.6986375E-01  9.3911848E-02
  9.1997448E-01  2.0285797E+00  2.3410590E+00  2.4560341E+00  2.6589284E+00  2.6706022E+00  5.2316021E+01  2.7155938E+00  2.7455422E+00  2.4540574E+00  2.3410590E+00  2.0285797E+00  9.1997448E-01  9.6145364E-02
  9.6937693E-01  2.0723455E+00  2.3837424E+00  2.4985305E+00  2.7006779E+00  2.7124673E+00  5.2995213E+01  2.7577870E+00  2.7880321E+00  2.4965506E+00  2.3837424E+00  2.0723455E+00  9.6937693E-01  9.8390200E-02
  1.0180849E+00  2.1155347E+00  2.4258695E+00  2.5404746E+00  2.7418908E+00  2.7537932E+00  5.3659217E+01  2.7994369E+00  2.8299754E+00  2.5384918E+00  2.4258695E+00  2.1155347E+00  1.0180849E+00  1.0064649E-01
  1.0661119E+00  2.1581562E+00  2.4674483E+00  2.5818746E+00  2.7825746E+00  2.7945878E+00  5.4308413E+01  2.8405510E+00  2.8713802E+00  2.5798889E+00  2.4674483E+00  2.1581562E+00  1.0661119E+00  1.0291435E-01
  1.1134710E+00  2.2002191E+00  2.5084874E+00  2.6227388E+00  2.8227371E+00  2.8348587E+00  5.4943180E+01  2.8811375E+00  2.9122544E+00  2.6207505E+00  2.5084874E+00  2.2002191E+00  1.1134710E+00  1.0519392E-01
  1.1601751E+00  2.2417324E+00  2.5489950E+00  2.6630753E+00  2.8623859E+00  2.8746137E+00  5.5563882E+01  2.9212042E+00  2.9526059E+00  2.6610844E+00  2.5489950E+00  2.2417324E+00  1.1601751E+00  1.0748534E-01
  1.2062369E+00  2.2827050E+00  2.5889796E+00  2.7028925E+00  2.9015290E+00  2.9138607E+00  5.6170881E+01  2.9607590E+00  2.9924429E+00  2.7008992E+00  2.5889796E+00  2.2827050E+00  1.2062369E+00  1.0978873E-01
  0.0000000E+00  1.8000000E-09  5.6168677E-17  1.4371946E-01  3.7691482E-01  3.7925377E-01  4.5638839E-01  4.0577370E-01  4.1778151E-01  1.4221238E-01  5.6168677E-17  2.1000000E-09  0.0000000E+00  7.7268773E-03
  0.0000000E+00  1.8000000E-09  4.5746890E-02  1.8228990E-01  4.1653287E-01  4.1960531E-01  1.6924047E+00  4.4727739E-01  4.6052151E-01  1.8068297E-01  4.5746890E-02  2.1000000E-09  0.0000000E+00  9.4700047E-03
  0.0000000E+00  4.0000000E-09  9.4945557E-02  2.2504181E-01  4.6032014E-01  4.6402786E-01  3.0846126E+00  4.9291281E-01  5.0726631E-01  2.2340075E-01  9.4945557E-02  4.3000000E-09  0.0000000E+00  1.1226954E-02
  0.0000000E+00  4.3000000E-09  1.4644435E-01  2.7138177E-01  5.0697805E-01  5.1127500E-01  4.5393716E+00  5.4128303E-01  5.5667470E-01  2.6962407E-01  1.4644435E-01  4.4000000E-09  0.0000000E+00  1.2989740E-02
  0.0000000E+00  1.4000000E-09  1.9943910E-01  3.2214909E-01  5.5559826E-01  5.6044392E-01  6.0299058E+00  5.9149839E-01  6.0786550E-01  3.2031039E-01  1.9943910E-01  1.6000000E-09  0.0000000E+00  1.4758404E-02
  0.0000000E+00  3.1000000E-09  2.5335399E-01  3.7534972E-01  6.0552703E-01  6.1088559E-01  7.5360408E+00  6.4292057E-01  6.6020758E-01  3.7348306E-01  2.5335399E-01  2.9000000E-09  0.0000000E+00  1.6532991E-02
  0.0000000E+00  2.3000000E-09  3.0776803E-01  4.2910194E-01  6.5628342E-01  6.6212305E-01  9.0427334E+00  6.9508124E-01  7.1323880E-01  4.2721022E-01  3.0776803E-01  2.3000000E-09  0.0000000E+00  1.8313543E-02
  0.0000000E+00  1.7168591E-02  3.6196272E-01  4.8268396E-01  7.0712610E-01  7.1341494E-01  1.0501490E+01  7.4724067E-01  7.6621909E-01  4.8076988E-01  3.6196272E-01  1.7168591E-02  0.0000000E+00  2.0099932E-02
  0.0000000E+00  7.3918534E-02  4.1532816E-01  5.3548192E-01  7.5741909E-01  7.6412620E-01  1.1859054E+01  7.9876705E-01  8.1851833E-01  5.3354797E-01  4.1532816E-01  7.3918534E-02  0.0000000E+00  2.1892144E-02
  0.0000000E+00  1.3046616E-01  4.6868763E-01  5.8830353E-01  8.0789313E-01  8.1499874E-01  1.3198384E+01  8.5042129E-01  8.7091546E-01  5.8635139E-01  4.6868763E-01  1.3046616E-01  0.0000000E+00  2.3690753E-02
  0.0000000E+00  1.8667192E-01  5.2188113E-01  6.4098571E-01  8.5836817E-01  8.6585405E-01  1.4515613E+01  9.0202797E-01  9.2323738E-01  6.3901686E-01  5.2188113E-01  1.8667192E-01  0.0000000E+00  2.5495806E-02
  0.0000000E+00  2.4242727E-01  5.7478252E-01  6.9339977E-01  9.0870113E-01  9.1655043E-01  1.5807871E+01  9.5344801E-01  9.7534712E-01  6.9141555E-01  5.7478252E-01  2.4242727E-01  0.0000000E+00  2.7307357E-02
  0.0000000E+00  2.9764818E-01  6.2729275E-01  7.4544440E-01  9.5877836E-01  9.6697545E-01  1.7073098E+01  1.0045713E+00  1.0271364E+00  7.4344601E-01  6.2729275E-01  2.9764818E-01  0.0000000E+00  2.9125456E-02
  0.0000000E+00  3.5226958E-01  6.7933365E-01  7.9703953E-01  1.0085091E+00  1.0170395E+00  1.8309861E+01  1.0553102E+00  1.0785193E+00  7.9502806E-01  6.7933365E-01  3.5226958E-01  0.0000000E+00  3.0950156E-02
  0.0000000E+00  4.0624166E-01  7.3084399E-01  8.4812223E-01  1.0578210E+00  1.0666712E+00  1.9517232E+01  1.1055952E+00  1.1294278E+00  8.4609866E-01  7.3084399E-01  4.0624166E-01  0.0000000E+00  3.2781509E-02
  0.0000000E+00  4.5952699E-01  7.8177638E-01  8.9864366E-01  1.1066573E+00  1.1158146E+00  2.0694687E+01  1.1553718E+00  1.1798087E+00  8.9660888E-01  7.8177638E-01  4.5952699E-01  0.0000000E+00  3.4619566E-02
  0.0000000E+00  5.1209765E-01  8.3209406E-01  9.4856577E-01  1.1549725E+00  1.1644253E+00  2.1842010E+01  1.2045970E+00  1.2296203E+00  9.4652058E-01  8.3209406E-01  5.1209765E-01  0.0000000E+00  3.6464383E-02
  0.0000000E+00  5.6393374E-01  8.8176930E-01  9.9785975E-01  1.2027318E+00  1.2124689E+00  2.2959229E+01  1.2532378E+00  1.2788307E+00  9.9580491E-01  8.8176930E-01  5.6393374E-01  0.0000000E+00  3.8316018E-02
  0.0000000E+00  6.1502186E-01  9.3078182E-01  1.0465043E+00  1.2499081E+00  1.2599191E+00  2.4046570E+01  1.3012689E+00  1.3274156E+00  1.0444404E+00  9.3078182E-01  6.1502186E-01  0.0000000E+00  4.0174524E-02
  0.0000000E+00  6.6535369E-01  9.7911703E-01  1.0944838E+00  1.2964809E+00  1.3067561E+00  2.5104398E+01  1.3486714E+00  1.3753571E+00  1.0924117E+00  9.7911703E-01  6.6535369E-01  0.0000000E+00  4.2039956E-02
  0.0000000E+00  7.1492510E-01  1.0267653E+00  1.1417880E+00  1.3424352E+00  1.3529655E+00  2.6133195E+01  1.3954320E+00  1.4226427E+00  1.1397081E+00  1.0267653E+00  7.1492510E-01  0.0000000E+00  4.3912372E-02
  0.0000000E+00  7.6373540E-01  1.0737209E+00  1.1884103E+00  1.3877607E+00  1.3985372E+00  2.7133522E+01  1.4415414E+00  1.4692639E+00  1.1863231E+00  1.0737209E+00  7.6373540E-01  0.0000000E+00  4.5791829E-02
  0.0000000E+00  8.1178693E-01  1.1199816E+00  1.2343479E+00  1.4324508E+00  1.4434655E+00  2.8106013E+01  1.4869945E+00  1.5152162E+00  1.2322540E+00  1.1199816E+00  8.1178693E-01  0.0000000E+00  4.7678385E-02
  0.0000000E+00  8.5908408E-01  1.1655479E+00  1.2796006E+00  1.4765025E+00  1.4877474E+00  2.9051339E+01  1.5317892E+00  1.5604983E+00  1.2775005E+00  1.1655479E+00  8.5908408E-01  0.0000000E+00  4.9572107E-02
  0.0000000E+00  9.0563297E-01  1.2104219E+00  1.3241701E+00  1.5199136E+00  1.5313815E+00  2.9970193E+01  1.5759245E+00  1.6051099E+00  1.3220641E+00  1.2104219E+00  9.0563297E-01  0.0000000E+00  5.1473039E-02
  0.0000000E+00  9.5144136E-01  1.2546082E+00  1.3680603E+00  1.5626860E+00  1.5743697E+00  3.0863296E+01  1.6194031E+00  1.6490541E+00  1.3659489E+00  1.2546082E+00  9.5144136E-01  0.0000000E+00  5.3381250E-02
  9.2068624E-17  9.9651826E-01  1.2981126E+00  1.4112768E+00  1.6048225E+00  1.6167155E+00  3.1731382E+01  1.6622289E+00  1.6923353E+00  1.4091602E+00  1.2981126E+00  9.9651826E-01  9.2068624E-17  5.5296799E-02
  1.8751399E-02  1.0408367E+00  1.3409095E+00  1.4538227E+00  1.6462469E+00  1.6584223E+00  3.2541521E+01  1.7044046E+00  1.7348757E+00  1.4517014E+00  1.3409095E+00  1.0408367E+00  1.8751399E-02  5.7217049E-02
  6.9594820E-02  1.0843874E+00  1.3829872E+00  1.4956340E+00  1.6870536E+00  1.6994243E+00  3.3271733E+01  1.7458651E+00  1.7767711E+00  1.4935084E+00  1.3829872E+00  1.0843874E+00  6.9594820E-02  5.9140633E-02
  1.1953851E-01  1.1272482E+00  1.4244130E+00  1.5367998E+00  1.7272437E+00  1.7398045E+00  3.3982412E+01  1.7866959E+00  1.8180292E+00  1.5346701E+00  1.4244130E+00  1.1272482E+00  1.1953851E-01  6.1073144E-02
  1.6860364E-01  1.1694297E+00  1.4651954E+00  1.5773283E+00  1.7668242E+00  1.7795699E+00  3.4674076E+01  1.8269045E+00  1.8586577E+00  1.5751948E+00  1.4651954E+00  1.1694297E+00  1.6860364E-01  6.3014672E-02
  2.1681079E-01  1.2109426E+00  1.5053437E+00  1.6172285E+00  1.8058027E+00  1.8187285E+00  3.5347248E+01  1.8664990E+00  1.8986651E+00  1.6150915E+00  1.5053437E+00  1.2109426E+00  2.1681079E-01  6.4965312E-02
  2.6418035E-01  1.2517981E+00  1.5448674E+00  1.6565097E+00  1.8441871E+00  1.8572884E+00  3.6002438E+01  1.9054878E+00  1.9380600E+00  1.6543695E+00  1.5448674E+00  1.2517981E+00  2.6418035E-01  6.6925155E-02
  3.1073197E-01  1.2920073E+00  1.5837760E+00  1.6951813E+00  1.8819858E+00  1.8952580E+00  3.6640148E+01  1.9438796E+00  1.9768514E+00  1.6930380E+00  1.5837760E+00  1.2920073E+00  3.1073197E-01  6.8894302E-02
  3.5648501E-01  1.3315815E+00  1.6220796E+00  1.7332531E+00  1.9192074E+00  1.9326462E+00  3.7260876E+01  1.9816836E+00  2.0150488E+00  1.7311070E+00  1.6220796E+00  1.3315815E+00  3.5648501E-01  7.0872845E-02
  4.0145819E-01  1.3705320E+00  1.6597882E+00  1.7707349E+00  1.9558608E+00  1.9694620E+00  3.7865109E+01  2.0189088E+00  2.0526614E+00  1.7685862E+00  1.6597882E+00  1.3705320E+00  4.0145819E-01  7.2860886E-02
  4.4566983E-01  1.4088701E+00  1.6969119E+00  1.8076367E+00  1.9919550E+00  2.0057144E+00  3.8453319E+01  2.0555646E+00  2.0896988E+00  1.8054856E+00  1.6969119E+00  1.4088701E+00  4.4566983E-01  7.4858523E-02
  4.8913788E-01  1.4466073E+00  1.7334609E+00  1.8439685E+00  2.0274991E+00  2.0414129E+00  3.9025977E+01  2.0916607E+00  2.1261709E+00  1.8418152E+00  1.7334609E+00  1.4466073E+00  4.8913788E-01  7.6865864E-02
  5.3187971E-01  1.4837548E+00  1.7694455E+00  1.8797406E+00  2.0625024E+00  2.0765668E+00  3.9583532E+01  2.1272064E+00  2.1620873E+00  1.8775852E+00  1.7694455E+00  1.4837548E+00  5.3187971E-01  7.8883006E-02
  5.7391219E-01  1.5203237E+00  1.8048758E+00  1.9149626E+00  2.0969741E+00  2.1111853E+00  4.0126427E+01  2.1622114E+00  2.1974577E+00  1.9128054E+00  1.8048758E+00  1.5203237E+00  5.7391219E-01  8.0910059E-02
  6.1525177E-01  1.5563250E+00  1.8397618E+00  1.9496447E+00  2.1309233E+00  2.1452779E+00  4.0655090E+01  2.1966850E+00  2.2322918E+00  1.9474858E+00  1.8397618E+00  1.5563250E+00  6.1525177E-01  8.2947127E-02
  6.5591444E-01  1.5917697E+00  1.8741135E+00  1.9837968E+00  2.1643594E+00  2.1788538E+00  4.1169939E+01  2.2306369E+00  2.2665992E+00  1.9816363E+00  1.8741135E+00  1.5917697E+00  6.5591444E-01  8.4994321E-02
  6.9591573E-01  1.6266684E+00  1.9079409E+00  2.0174285E+00  2.1972913E+00  2.2119223E+00  4.1671379E+01  2.2640762E+00  2.3003896E+00  2.0152666E+00  1.9079409E+00  1.6266684E+00  6.9591573E-01  8.7051753E-02
  7.3527080E-01  1.6610318E+00  1.9412538E+00  2.0505497E+00  2.2297282E+00  2.2444924E+00  4.2159799E+01  2.2970124E+00  2.3336722E+00  2.0483865E+00  1.9412538E+00  1.6610318E+00  7.3527080E-01  8.9119535E-02
  7.7399446E-01  1.6948705E+00  1.9740619E+00  2.0831699E+00  2.2616791E+00  2.2765735E+00  4.2635587E+01  2.3294548E+00  2.3664568E+00  2.0810056E+00  1.9740619E+00  1.6948705E+00  7.7399446E-01  9.1197778E-02
  8.1210096E-01  1.7281946E+00  2.0063749E+00  2.1152987E+00  2.2931531E+00  2.3081745E+00  4.3099108E+01  2.3614126E+00  2.3987525E+00  2.1131334E+00  2.0063749E+00  1.7281946E+00  8.1210096E-01  9.3286604E-02
  8.4960411E-01  1.7610142E+00  2.0382019E+00  2.1469452E+00  2.3241587E+00  2.3393041E+00  4.3550722E+01  2.3928945E+00  2.4305683E+00  2.1447790E+00  2.0382019E+00  1.7610142E+00  8.4960411E-01  9.5386128E-02
  8.8651748E-01  1.7933392E+00  2.0695523E+00  2.1781187E+00  2.3547046E+00  2.3699712E+00  4.3990775E+01  2.4239095E+00  2.4619133E+00  2.1759517E+00  2.0695523E+00  1.7933392E+00  8.8651748E-01  9.7496472E-02
  9.2285427E-01  1.8251793E+00  2.1004352E+00  2.2088281E+00  2.3847995E+00  2.4001845E+00  4.4419602E+01  2.4544665E+00  2.4927964E+00  2.2066604E+00  2.1004352E+00  1.8251793E+00  9.2285427E-01  9.9617760E-02
  9.5862711E-01  1.8565439E+00  2.1308594E+00  2.2390823E+00  2.4144517E+00  2.4299522E+00  4.4837528E+01  2.4845738E+00  2.5232263E+00  2.2369141E+00  2.1308594E+00  1.8565439E+00  9.5862711E-01  1.0175011E-01
  0.0000000E+00  3.9000000E-09  5.3092091E-17  1.3403275E-01  3.4245278E-01  3.4668712E-01  6.8874846E-01  3.7828466E-01  3.9389678E-01  1.3226764E-01  5.3092091E-17  4.6000000E-09  0.0000000E+00  7.2765981E-03
  0.0000000E+00  3.9000000E-09  4.3241077E-02  1.7064066E-01  3.8024332E-01  3.8517036E-01  1.8997251E+00  4.1839595E-01  4.3530787E-01  1.6876813E-01  4.3241077E-02  4.6000000E-09  0.0000000E+00  8.8951451E-03
  0.0000000E+00  4.5000000E-09  8.8731081E-02  2.1009561E-01  4.2073683E-01  4.2651402E-01  3.1749502E+00  4.6100015E-01  4.7933525E-01  2.0818898E-01  8.8731081E-02  5.3000000E-09  0.0000000E+00  1.0519541E-02
  0.0000000E+00  5.3000000E-09  1.3555982E-01  2.5401952E-01  4.6309697E-01  4.6965486E-01  4.4811930E+00  5.0531569E-01  5.2497507E-01  2.5191597E-01  1.3555982E-01  4.9000000E-09  0.0000000E+00  1.2149328E-02
  0.0000000E+00  4.8000000E-09  1.8310377E-01  3.0084368E-01  5.0660414E-01  5.1388204E-01  5.7969543E+00  5.5064392E-01  5.7154070E-01  2.9871202E-01  1.8310377E-01  5.3000000E-09  0.0000000E+00  1.3784547E-02
  0.0000000E+00  4.2000000E-09  2.3092802E-01  3.4799709E-01  5.5075128E-01  5.5869592E-01  7.1068755E+00  5.9649512E-01  6.1855259E-01  3.4584090E-01  2.3092802E-01  4.2000000E-09  0.0000000E+00  1.5425237E-02
  0.0000000E+00  4.6000000E-09  2.7872206E-01  3.9516226E-01  5.9517250E-01  6.0373682E-01  8.4001061E+00  6.4251771E-01  6.6566789E-01  3.9298454E-01  2.7872206E-01  3.9000000E-09  0.0000000E+00  1.7071438E-02
  0.0000000E+00  1.5042935E-02  3.2595546E-01  4.4180733E-01  6.3931606E-01  6.4845385E-01  9.6360624E+00  6.8816130E-01  7.1233651E-01  4.3961084E-01  3.2595546E-01  1.5042935E-02  0.0000000E+00  1.8723031E-02
  0.0000000E+00  6.4506285E-02  3.7218789E-01  4.8748968E-01  6.8271740E-01  6.9238447E-01  1.0770691E+01  7.3296566E-01  7.5810091E-01  4.8527693E-01  3.7218789E-01  6.4506285E-02  0.0000000E+00  2.0379999E-02
  0.0000000E+00  1.1342364E-01  4.1806231E-01  5.3283838E-01  7.2593409E-01  7.3610131E-01  1.1879420E+01  7.7752380E-01  8.0357755E-01  5.3061111E-01  4.1806231E-01  1.1342364E-01  0.0000000E+00  2.2042875E-02
  0.0000000E+00  1.6170936E-01  4.6347337E-01  5.7774587E-01  7.6884219E-01  7.7948288E-01  1.2960116E+01  8.2171703E-01  8.4865110E-01  5.7550559E-01  4.6347337E-01  1.6170936E-01  0.0000000E+00  2.3711705E-02
  0.0000000E+00  2.0930122E-01  5.0834214E-01  6.2213136E-01  8.1134709E-01  8.2243675E-01  1.4011421E+01  8.6545537E-01  8.9323459E-01  6.1987942E-01  5.0834214E-01  2.0930122E-01  0.0000000E+00  2.5386538E-02
  0.0000000E+00  2.5615470E-01  5.5260967E-01  6.6593422E-01  8.5337623E-01  8.6489230E-01  1.5032552E+01  9.0867034E-01  9.3726218E-01  6.6367183E-01  5.5260967E-01  2.5615470E-01  0.0000000E+00  2.7067418E-02
  0.0000000E+00  3.0223891E-01  5.9623248E-01  7.0910957E-01  8.9487446E-01  9.0679612E-01  1.6023172E+01  9.5131036E-01  9.8068471E-01  7.0683781E-01  5.9623248E-01  3.0223891E-01  0.0000000E+00  2.8754395E-02
  0.0000000E+00  3.4753400E-01  6.3917986E-01  7.5162538E-01  9.3580086E-01  9.4810884E-01  1.6983301E+01  9.9333773E-01  1.0234666E+00  7.4934522E-01  6.3917986E-01  3.4753400E-01  0.0000000E+00  3.0447518E-02
  0.0000000E+00  3.9202803E-01  6.8143027E-01  7.9345903E-01  9.7612497E-01  9.8880140E-01  1.7913197E+01  1.0347248E+00  1.0655822E+00  7.9117134E-01  6.8143027E-01  3.9202803E-01  0.0000000E+00  3.2146834E-02
  0.0000000E+00  4.3571600E-01  7.2297029E-01  8.3459604E-01  1.0158255E+00  1.0288538E+00  1.8813325E+01  1.0754529E+00  1.1070146E+00  8.3230163E-01  7.2297029E-01  4.3571600E-01  0.0000000E+00  3.3852391E-02
  0.0000000E+00  4.7859769E-01  7.6379221E-01  8.7502792E-01  1.0548880E+00  1.0682526E+00  1.9684282E+01  1.1155100E+00  1.1477531E+00  8.7272750E-01  7.6379221E-01  4.7859769E-01  0.0000000E+00  3.5564246E-02
  0.0000000E+00  5.2067691E-01  8.0389322E-01  9.1475095E-01  1.0933034E+00  1.1069899E+00  2.0526765E+01  1.1548888E+00  1.1877922E+00  9.1244517E-01  8.0389322E-01  5.2067691E-01  0.0000000E+00  3.7282446E-02
  0.0000000E+00  5.6196053E-01  8.4327421E-01  9.5376531E-01  1.1310670E+00  1.1450620E+00  2.1341541E+01  1.1935868E+00  1.2271305E+00  9.5145477E-01  8.4327421E-01  5.6196053E-01  0.0000000E+00  3.9007043E-02
  0.0000000E+00  6.0245808E-01  8.8193940E-01  9.9207458E-01  1.1681783E+00  1.1824690E+00  2.2129431E+01  1.2316050E+00  1.2657703E+00  9.8975982E-01  8.8193940E-01  6.0245808E-01  0.0000000E+00  4.0738090E-02
  0.0000000E+00  6.4218070E-01  9.1989513E-01  1.0296845E+00  1.2046390E+00  1.2192137E+00  2.2891275E+01  1.2689469E+00  1.3037162E+00  1.0273660E+00  9.1989513E-01  6.4218070E-01  0.0000000E+00  4.2475638E-02
  0.0000000E+00  6.8114096E-01  9.5714966E-01  1.0666027E+00  1.2404536E+00  1.2553010E+00  2.3627928E+01  1.3056181E+00  1.3409747E+00  1.0642810E+00  9.5714966E-01  6.8114096E-01  0.0000000E+00  4.4219742E-02
  0.0000000E+00  7.1935243E-01  9.9371269E-01  1.1028386E+00  1.2756284E+00  1.2907380E+00  2.4340246E+01  1.3416266E+00  1.3775548E+00  1.1005140E+00  9.9371269E-01  7.1935243E-01  0.0000000E+00  4.5970463E-02
  0.0000000E+00  7.5682965E-01  1.0295951E+00  1.1384023E+00  1.3101705E+00  1.3255324E+00  2.5029081E+01  1.3769803E+00  1.4134653E+00  1.1360753E+00  1.0295951E+00  7.5682965E-01  0.0000000E+00  4.7727841E-02
  0.0000000E+00  7.9358748E-01  1.0648085E+00  1.1733052E+00  1.3440888E+00  1.3596936E+00  2.5695272E+01  1.4116894E+00  1.4487171E+00  1.1709761E+00  1.0648085E+00  7.9358748E-01  0.0000000E+00  4.9491939E-02
  7.4286428E-17  8.2964118E-01  1.0993653E+00  1.2075592E+00  1.3773929E+00  1.3932319E+00  2.6339641E+01  1.4457646E+00  1.4833217E+00  1.2052284E+00  1.0993653E+00  8.2964118E-01  7.4286428E-17  5.1262815E-02
  1.5129741E-02  8.6498593E-01  1.1332618E+00  1.2411875E+00  1.4100322E+00  1.4261705E+00  2.6935553E+01  1.4792284E+00  1.5172267E+00  1.2388553E+00  1.1332618E+00  8.6498593E-01  1.5129741E-02  5.3038019E-02
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  5.8198971E-01  1.3486604E+00  1.5980617E+00  1.7021063E+00  1.8594189E+00  1.8783219E+00  3.3696366E+01  1.9387461E+00  1.9837704E+00  1.6997807E+00  1.5980617E+00  1.3486604E+00  5.8198971E-01  8.2528660E-02
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  6.4151037E-01  1.3998436E+00  1.6473059E+00  1.7509449E+00  1.9071150E+00  1.9262803E+00  3.4329137E+01  1.9875173E+00  2.0332979E+00  1.7486228E+00  1.6473059E+00  1.3998436E+00  6.4151037E-01  8.6380396E-02
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  6.9893382E-01  1.4492725E+00  1.6948671E+00  1.7981153E+00  1.9531926E+00  1.9726059E+00  3.4924670E+01  2.0346357E+00  2.0811517E+00  1.7957970E+00  1.6948671E+00  1.4492725E+00  6.9893382E-01  9.0271612E-02
  7.2689183E-01  1.4733541E+00  1.7180400E+00  1.8210981E+00  1.9756465E+00  1.9951786E+00  3.5209227E+01  2.0575978E+00  2.1044741E+00  1.8187818E+00  1.7180400E+00  1.4733541E+00  7.2689183E-01  9.2232303E-02
  7.5436418E-01  1.4970269E+00  1.7408201E+00  1.8436915E+00  1.9977222E+00  2.0173699E+00  3.5485365E+01  2.0801738E+00  2.1274057E+00  1.8413774E+00  1.7408201E+00  1.4970269E+00  7.5436418E-01  9.4203200E-02
  0.0000000E+00  4.8000000E-09  4.9784726E-17  1.2519121E-01  3.1015747E-01  3.1831807E-01  9.6771775E-01  3.5406289E-01  3.7551128E-01  1.2313265E-01  4.9784726E-17  4.4000000E-09  0.0000000E+00  6.8933061E-03
  0.0000000E+00  4.9000000E-09  4.0551497E-02  1.5975265E-01  3.4632001E-01  3.5431265E-01  2.0900865E+00  3.9270424E-01  4.1471463E-01  1.5758498E-01  4.0551497E-02  4.4000000E-09  0.0000000E+00  8.3843328E-03
  0.0000000E+00  4.1000000E-09  8.2313846E-02  1.9828201E-01  3.8339940E-01  3.9266177E-01  3.2447895E+00  4.3226945E-01  4.5624849E-01  1.9587905E-01  8.2313846E-02  6.2000000E-09  0.0000000E+00  9.8839594E-03
  0.0000000E+00  4.9000000E-09  1.2459898E-01  2.3966818E-01  4.2150596E-01  4.3190188E-01  4.4037026E+00  4.7267108E-01  4.9844717E-01  2.3724039E-01  1.2459898E-01  5.0000000E-09  0.0000000E+00  1.1388559E-02
  0.0000000E+00  5.3000000E-09  1.6694961E-01  2.8118489E-01  4.6009029E-01  4.7150440E-01  5.5507397E+00  5.1338580E-01  5.4081187E-01  2.7873643E-01  1.6694961E-01  5.8000000E-09  0.0000000E+00  1.2898167E-02
  0.0000000E+00  6.2000000E-09  2.0905763E-01  3.2251440E-01  4.9877518E-01  5.1110903E-01  6.6751979E+00  5.5405793E-01  5.8300706E-01  3.2004872E-01  2.0905763E-01  4.9000000E-09  0.0000000E+00  1.4412822E-02
  0.0000000E+00  4.7000000E-09  2.5071351E-01  3.6343982E-01  5.3729777E-01  5.5046672E-01  7.7701512E+00  5.9444241E-01  6.2480436E-01  3.6095977E-01  2.5071351E-01  3.8000000E-09  0.0000000E+00  1.5932559E-02
  0.0000000E+00  1.3080661E-02  2.9154297E-01  4.0358579E-01  5.7526251E-01  5.8918743E-01  8.8023980E+00  6.3414575E-01  6.6581494E-01  4.0109394E-01  2.9154297E-01  1.3080661E-02  0.0000000E+00  1.7457266E-02
  0.0000000E+00  5.5860961E-02  3.3124350E-01  4.4264751E-01  6.1234300E-01  6.2695125E-01  9.7361997E+00  6.7284689E-01  7.0572480E-01  4.4014613E-01  3.3124350E-01  5.5860961E-02  0.0000000E+00  1.8986925E-02
  0.0000000E+00  9.7842092E-02  3.7032472E-01  4.8111842E-01  6.4896897E-01  6.6421037E-01  1.0639405E+01  7.1101844E-01  7.4503946E-01  4.7860911E-01  3.7032472E-01  9.7842092E-02  0.0000000E+00  2.0522034E-02
  0.0000000E+00  1.3898508E-01  4.0872888E-01  5.1893833E-01  6.8506480E-01  7.0089438E-01  1.1511358E+01  7.4859134E-01  7.8369616E-01  5.1642252E-01  4.0872888E-01  1.3898508E-01  0.0000000E+00  2.2062632E-02
  0.0000000E+00  1.7926679E-01  4.4641665E-01  5.5606578E-01  7.2057597E-01  7.3695327E-01  1.2351917E+01  7.8551684E-01  8.2165162E-01  5.5354469E-01  4.4641665E-01  1.7926679E-01  0.0000000E+00  2.3608766E-02
  0.0000000E+00  2.1867624E-01  4.8336336E-01  5.9247422E-01  7.5546479E-01  7.7235326E-01  1.3161341E+01  8.2176227E-01  8.5887799E-01  5.8994894E-01  4.8336336E-01  2.1867624E-01  0.0000000E+00  2.5160476E-02
  0.0000000E+00  2.5721110E-01  5.1955462E-01  6.2814759E-01  7.8970560E-01  8.0707214E-01  1.3940153E+01  8.5730646E-01  8.9535830E-01  6.2561908E-01  5.1955462E-01  2.5721110E-01  0.0000000E+00  2.6717808E-02
  0.0000000E+00  2.9487561E-01  5.5498423E-01  6.6307818E-01  8.2328238E-01  8.4109690E-01  1.4689071E+01  8.9213735E-01  9.3108423E-01  6.6054731E-01  5.5498423E-01  2.9487561E-01  0.0000000E+00  2.8280806E-02
  0.0000000E+00  3.3167926E-01  5.8965254E-01  6.9726509E-01  8.5618697E-01  8.7442205E-01  1.5408957E+01  9.2625031E-01  9.6605447E-01  6.9473262E-01  5.8965254E-01  3.3167926E-01  0.0000000E+00  2.9849514E-02
  0.0000000E+00  3.6763483E-01  6.2356422E-01  7.3071175E-01  8.8841648E-01  9.0704700E-01  1.6100749E+01  9.5964557E-01  1.0002722E+00  7.2817835E-01  6.2356422E-01  3.6763483E-01  0.0000000E+00  3.1423977E-02
  0.0000000E+00  4.0275768E-01  6.5672753E-01  7.6342539E-01  9.1997265E-01  9.3897565E-01  1.6765436E+01  9.9232782E-01  1.0337447E+00  7.6089168E-01  6.5672753E-01  4.0275768E-01  0.0000000E+00  3.3004246E-02
  0.0000000E+00  4.3706543E-01  6.8915367E-01  7.9541627E-01  9.5086075E-01  9.7021509E-01  1.7404046E+01  1.0243048E+00  1.0664822E+00  7.9288279E-01  6.8915367E-01  4.3706543E-01  0.0000000E+00  3.4590365E-02
  0.0000000E+00  4.7057659E-01  7.2085551E-01  8.2669636E-01  9.8108842E-01  1.0007746E+00  1.8017601E+01  1.0555866E+00  1.0984967E+00  8.2416360E-01  7.2085551E-01  4.7057659E-01  0.0000000E+00  3.6182380E-02
  0.0000000E+00  5.0331060E-01  7.5184735E-01  8.5727917E-01  1.0106653E+00  1.0306653E+00  1.8607117E+01  1.0861848E+00  1.1298019E+00  8.5474759E-01  7.5184735E-01  5.0331060E-01  0.0000000E+00  3.7780342E-02
  0.0000000E+00  5.3528764E-01  7.8214483E-01  8.8717958E-01  1.0396027E+00  1.0599000E+00  1.9173603E+01  1.1161127E+00  1.1604128E+00  8.8464959E-01  7.8214483E-01  5.3528764E-01  0.0000000E+00  3.9384297E-02
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  0.0000000E+00  5.9705152E-01  8.4072120E-01  9.4499536E-01  1.0956095E+00  1.1164561E+00  2.0241357E+01  1.1740151E+00  1.2196149E+00  9.4246958E-01  8.4072120E-01  5.9705152E-01  0.0000000E+00  4.2610392E-02
  0.0000000E+00  6.2687875E-01  8.6903331E-01  9.7294263E-01  1.1227052E+00  1.1438059E+00  2.0744485E+01  1.2020188E+00  1.2482383E+00  9.7041942E-01  8.6903331E-01  6.2687875E-01  0.0000000E+00  4.4232625E-02
  0.0000000E+00  6.5602928E-01  8.9671689E-01  1.0002710E+00  1.1492143E+00  1.1705566E+00  2.1228297E+01  1.2294113E+00  1.2762319E+00  9.9775068E-01  8.9671689E-01  6.5602928E-01  0.0000000E+00  4.5861054E-02
  5.9328074E-17  6.8452293E-01  9.2378896E-01  1.0269971E+00  1.1751512E+00  1.1967235E+00  2.1693643E+01  1.2562083E+00  1.3036125E+00  1.0244798E+00  9.2378896E-01  6.8452293E-01  5.9328074E-17  4.7495726E-02
  1.2083209E-02  7.1236934E-01  9.5026030E-01  1.0531565E+00  1.2004830E+00  1.2223425E+00  2.2119190E+01  1.2824442E+00  1.3303456E+00  1.0506426E+00  9.5026030E-01  7.1236934E-01  1.2083209E-02  4.9134377E-02
  4.4718566E-02  7.3958169E-01  9.7614194E-01  1.0787154E+00  1.2253117E+00  1.2473785E+00  2.2490938E+01  1.3080843E+00  1.3565348E+00  1.0762050E+00  9.7614194E-01  7.3958169E-01  4.4718566E-02  5.0775823E-02
  7.6596375E-02  7.6619454E-01  1.0014587E+00  1.1037165E+00  1.2496057E+00  1.2718707E+00  2.2848926E+01  1.3331717E+00  1.3821580E+00  1.1012099E+00  1.0014587E+00  7.6619454E-01  7.6596375E-02  5.2424863E-02
  1.0774162E-01  7.9222463E-01  1.0262256E+00  1.1281748E+00  1.2733785E+00  1.2958333E+00  2.3193692E+01  1.3577207E+00  1.4072302E+00  1.1256721E+00  1.0262256E+00  7.9222463E-01  1.0774162E-01  5.4081573E-02
  1.3817821E-01  8.1768865E-01  1.0504579E+00  1.1521051E+00  1.2966440E+00  1.3192805E+00  2.3525771E+01  1.3817457E+00  1.4317665E+00  1.1496065E+00  1.0504579E+00  8.1768865E-01  1.3817821E-01  5.5746033E-02
  1.6792904E-01  8.4260241E-01  1.0741698E+00  1.1755215E+00  1.3194151E+00  1.3422257E+00  2.3845660E+01  1.4052603E+00  1.4557810E+00  1.1730272E+00  1.0741698E+00  8.4260241E-01  1.6792904E-01  5.7418321E-02
  1.9701611E-01  8.6698144E-01  1.0973757E+00  1.1984381E+00  1.3417048E+00  1.3646823E+00  2.4153844E+01  1.4282784E+00  1.4792879E+00  1.1959482E+00  1.0973757E+00  8.6698144E-01  1.9701611E-01  5.9098518E-02
  2.2546044E-01  8.9084069E-01  1.1200892E+00  1.2208682E+00  1.3635258E+00  1.3866633E+00  2.4450782E+01  1.4508129E+00  1.5023009E+00  1.2183828E+00  1.1200892E+00  8.9084069E-01  2.2546044E-01  6.0786709E-02
  2.5328223E-01  9.1419477E-01  1.1423236E+00  1.2428251E+00  1.3848904E+00  1.4081814E+00  2.4736918E+01  1.4728767E+00  1.5248333E+00  1.2403444E+00  1.1423236E+00  9.1419477E-01  2.5328223E-01  6.2482973E-02
  2.8050083E-01  9.3705767E-01  1.1640920E+00  1.2643215E+00  1.4058106E+00  1.4292488E+00  2.5012671E+01  1.4944823E+00  1.5468980E+00  1.2618456E+00  1.1640920E+00  9.3705767E-01  2.8050083E-01  6.4187396E-02
  3.0713491E-01  9.5944322E-01  1.1854070E+00  1.2853700E+00  1.4262981E+00  1.4498777E+00  2.5278454E+01  1.5156421E+00  1.5685078E+00  1.2828990E+00  1.1854070E+00  9.5944322E-01  3.0713491E-01  6.5900068E-02
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  3.5872008E-01  1.0028345E+00  1.2267256E+00  1.3261711E+00  1.4660204E+00  1.4898661E+00  2.5781633E+01  1.5566710E+00  1.6104109E+00  1.3237101E+00  1.2267256E+00  1.0028345E+00  3.5872008E-01  6.9350498E-02
  3.8370478E-01  1.0238654E+00  1.2467525E+00  1.3459468E+00  1.4852769E+00  1.5092479E+00  2.6019755E+01  1.5765627E+00  1.6307275E+00  1.3434909E+00  1.2467525E+00  1.0238654E+00  3.8370478E-01  7.1088436E-02
  4.0817215E-01  1.0444692E+00  1.2663727E+00  1.3653206E+00  1.5041444E+00  1.5282358E+00  2.6249355E+01  1.5960538E+00  1.6506359E+00  1.3628700E+00  1.2663727E+00  1.0444692E+00  4.0817215E-01  7.2834982E-02
  4.3213742E-01  1.0646575E+00  1.2855972E+00  1.3843032E+00  1.5226330E+00  1.5468401E+00  2.6470758E+01  1.6151548E+00  1.6701468E+00  1.3818579E+00  1.2855972E+00  1.0646575E+00  4.3213742E-01  7.4590225E-02
  4.5561509E-01  1.0844413E+00  1.3044361E+00  1.4029049E+00  1.5407523E+00  1.5650707E+00  2.6684270E+01  1.6338758E+00  1.6892706E+00  1.4004650E+00  1.3044361E+00  1.0844413E+00  4.5561509E-01  7.6354261E-02
  4.7861943E-01  1.1038318E+00  1.3229000E+00  1.4211359E+00  1.5585123E+00  1.5829376E+00  2.6890195E+01  1.6522268E+00  1.7080176E+00  1.4187014E+00  1.3229000E+00  1.1038318E+00  4.7861943E-01  7.8127187E-02
  5.0116382E-01  1.1228393E+00  1.3409984E+00  1.4390058E+00  1.5759220E+00  1.6004501E+00  2.7088816E+01  1.6702173E+00  1.7263977E+00  1.4365768E+00  1.3409984E+00  1.1228393E+00  5.0116382E-01  7.9909101E-02
  5.2326131E-01  1.1414739E+00  1.3587410E+00  1.4565240E+00  1.5929903E+00  1.6176174E+00  2.7280401E+01  1.6878567E+00  1.7444203E+00  1.4541005E+00  1.3587410E+00  1.1414739E+00  5.2326131E-01  8.1700104E-02
  5.4492439E-01  1.1597453E+00  1.3761368E+00  1.4736996E+00  1.6097261E+00  1.6344483E+00  2.7465211E+01  1.7051539E+00  1.7620947E+00  1.4712816E+00  1.3761368E+00  1.1597453E+00  5.4492439E-01  8.3500295E-02
  5.6616515E-01  1.1776632E+00  1.3931949E+00  1.4905413E+00  1.6261377E+00  1.6509514E+00  2.7643495E+01  1.7221175E+00  1.7794297E+00  1.4881290E+00  1.3931949E+00  1.1776632E+00  5.6616515E-01  8.5309780E-02
  5.8699516E-01  1.1952366E+00  1.4099239E+00  1.5070578E+00  1.6422334E+00  1.6671350E+00  2.7815491E+01  1.7387562E+00  1.7964341E+00  1.5046511E+00  1.4099239E+00  1.1952366E+00  5.8699516E-01  8.7128661E-02
  0.0000000E+00  5.8000000E-09  4.6287547E-17  1.1674509E-01  2.8058648E-01  2.9482543E-01  1.2226931E+00  3.3399181E-01  3.6364598E-01  1.1435627E-01  4.6287547E-17  3.9000000E-09  0.0000000E+00  6.5962815E-03
  0.0000000E+00  5.9000000E-09  3.7703536E-02  1.5064674E-01  3.1217216E-01  3.3060416E-01  2.2573727E+00  3.6896524E-01  4.0371577E-01  1.4794505E-01  3.7703536E-02  3.9000000E-09  0.0000000E+00  7.9754051E-03
  0.0000000E+00  4.9000000E-09  7.5734713E-02  1.8750115E-01  3.4591922E-01  3.6579962E-01  3.2891667E+00  4.0559909E-01  4.4265610E-01  1.8475684E-01  7.5734713E-02  3.9000000E-09  0.0000000E+00  9.3552603E-03
  0.0000000E+00  5.5000000E-09  1.1360877E-01  2.2431344E-01  3.8000055E-01  4.0110363E-01  4.3031370E+00  4.4233447E-01  4.8142913E-01  2.2155630E-01  1.1360877E-01  4.3000000E-09  0.0000000E+00  1.0739686E-02
  0.0000000E+00  5.6000000E-09  1.5101831E-01  2.6074324E-01  4.1401527E-01  4.3616035E-01  5.2885043E+00  4.7880320E-01  5.1971594E-01  2.5797709E-01  1.5101831E-01  5.4000000E-09  0.0000000E+00  1.2128714E-02
  0.0000000E+00  5.3000000E-09  1.8777084E-01  2.9658562E-01  4.4770113E-01  4.7074182E-01  6.2389529E+00  5.1476989E-01  5.5731918E-01  2.9381352E-01  1.8777084E-01  4.7000000E-09  0.0000000E+00  1.3522379E-02
  0.0000000E+00  4.9000000E-09  2.2374540E-01  3.3171003E-01  4.8088378E-01  5.0470009E-01  7.1510757E+00  5.5008223E-01  5.9411636E-01  3.2893450E-01  2.2374540E-01  4.1000000E-09  0.0000000E+00  1.4920714E-02
  0.0000000E+00  1.1274449E-02  2.5869677E-01  3.6586929E-01  5.1329448E-01  5.3778190E-01  7.9984270E+00  5.8447471E-01  6.2985607E-01  3.6309244E-01  2.5869677E-01  1.1274449E-02  0.0000000E+00  1.6323612E-02
  0.0000000E+00  4.7943386E-02  2.9243499E-01  3.9887015E-01  5.4471837E-01  5.6978669E-01  8.7526834E+00  6.1773918E-01  6.6434487E-01  3.9609379E-01  2.9243499E-01  4.7943386E-02  0.0000000E+00  1.7731055E-02
  0.0000000E+00  8.3639221E-02  3.2537208E-01  4.3110517E-01  5.7549451E-01  6.0107928E-01  9.4741671E+00  6.5026578E-01  6.9801186E-01  4.2833065E-01  3.2537208E-01  8.3639221E-02  0.0000000E+00  1.9143505E-02
  0.0000000E+00  1.1836199E-01  3.5748989E-01  4.6255302E-01  6.0558723E-01  6.3163277E-01  1.0163400E+01  6.8202691E-01  7.3083958E-01  4.5978149E-01  3.5748989E-01  1.1836199E-01  0.0000000E+00  2.0560999E-02
  0.0000000E+00  1.5212150E-01  3.8878308E-01  4.9320553E-01  6.3497628E-01  6.6143426E-01  1.0821226E+01  7.1300943E-01  7.6282338E-01  4.9043800E-01  3.8878308E-01  1.5212150E-01  0.0000000E+00  2.1983578E-02
  0.0000000E+00  1.8493397E-01  4.1925456E-01  5.2306324E-01  6.6365201E-01  6.9048024E-01  1.1448679E+01  7.4320986E-01  7.9396701E-01  5.2030055E-01  4.1925456E-01  1.8493397E-01  0.0000000E+00  2.3411281E-02
  0.0000000E+00  2.1682008E-01  4.4891352E-01  5.5213315E-01  6.9161275E-01  7.1877421E-01  1.2046914E+01  7.7263200E-01  8.2428041E-01  5.4937604E-01  4.4891352E-01  2.1682008E-01  0.0000000E+00  2.4844148E-02
  0.0000000E+00  2.4780387E-01  4.7777409E-01  5.8042753E-01  7.1886331E-01  7.4632540E-01  1.2617166E+01  8.0128551E-01  8.5377852E-01  5.7767663E-01  4.7777409E-01  2.4780387E-01  0.0000000E+00  2.6282221E-02
  0.0000000E+00  2.7791086E-01  5.0585298E-01  6.0796140E-01  7.4541222E-01  7.7314610E-01  1.3160684E+01  8.2918322E-01  8.8247875E-01  6.0521727E-01  5.0585298E-01  2.7791086E-01  0.0000000E+00  2.7725539E-02
  0.0000000E+00  3.0716809E-01  5.3316953E-01  6.3475259E-01  7.7127175E-01  7.9925179E-01  1.3678731E+01  8.5634121E-01  9.1040115E-01  6.3201570E-01  5.3316953E-01  3.0716809E-01  0.0000000E+00  2.9174144E-02
  0.0000000E+00  3.3560279E-01  5.5974410E-01  6.6082021E-01  7.9645618E-01  8.2465956E-01  1.4172541E+01  8.8277731E-01  9.3756702E-01  6.5809097E-01  5.5974410E-01  3.3560279E-01  0.0000000E+00  3.0628082E-02
  0.0000000E+00  3.6324237E-01  5.8559806E-01  6.8618432E-01  8.2098125E-01  8.4938756E-01  1.4643315E+01  9.0851032E-01  9.6399820E-01  6.8346310E-01  5.8559806E-01  3.6324237E-01  0.0000000E+00  3.2087394E-02
  0.0000000E+00  3.9011388E-01  6.1075295E-01  7.1086545E-01  8.4486372E-01  8.7345464E-01  1.5092211E+01  9.3355980E-01  9.8971691E-01  7.0815254E-01  6.1075295E-01  3.9011388E-01  0.0000000E+00  3.3552122E-02
  0.0000000E+00  4.1624429E-01  6.3523093E-01  7.3488472E-01  8.6812140E-01  8.9688044E-01  1.5520354E+01  9.5794609E-01  1.0147459E+00  7.3218041E-01  6.3523093E-01  4.1624429E-01  0.0000000E+00  3.5022311E-02
  0.0000000E+00  4.4165962E-01  6.5905363E-01  7.5826286E-01  8.9077203E-01  9.1968432E-01  1.5928802E+01  9.8168927E-01  1.0391073E+00  7.5556738E-01  6.5905363E-01  4.4165962E-01  0.0000000E+00  3.6498005E-02
  0.0000000E+00  4.6638523E-01  6.8224242E-01  7.8102044E-01  9.1283356E-01  9.4188564E-01  1.6318570E+01  1.0048094E+00  1.0628230E+00  7.7833400E-01  6.8224242E-01  4.6638523E-01  0.0000000E+00  3.7979249E-02
  0.0000000E+00  4.9044567E-01  7.0481827E-01  8.0317780E-01  9.3432409E-01  9.6350377E-01  1.6690614E+01  1.0273265E+00  1.0859149E+00  8.0050056E-01  7.0481827E-01  4.9044567E-01  0.0000000E+00  3.9466096E-02
  0.0000000E+00  5.1386484E-01  7.2680186E-01  8.2475468E-01  9.5526098E-01  9.8455715E-01  1.7045850E+01  1.0492597E+00  1.1084034E+00  8.2208680E-01  7.2680186E-01  5.1386484E-01  0.0000000E+00  4.0958577E-02
  0.0000000E+00  5.3666562E-01  7.4821305E-01  8.4577046E-01  9.7566182E-01  1.0050644E+00  1.7385137E+01  1.0706282E+00  1.1303091E+00  8.4311207E-01  7.4821305E-01  5.3666562E-01  0.0000000E+00  4.2456746E-02
  4.6825667E-17  5.5887003E-01  7.6907118E-01  8.6624388E-01  9.9554365E-01  1.0250433E+00  1.7709288E+01  1.0914505E+00  1.1516519E+00  8.6359509E-01  7.6907118E-01  5.5887003E-01  4.6825667E-17  4.3960651E-02
  9.5368730E-03  5.8049645E-01  7.8939571E-01  8.8621740E-01  1.0148853E+00  1.0445369E+00  1.8001386E+01  1.1117676E+00  1.1724090E+00  8.8357829E-01  7.8939571E-01  5.8049645E-01  9.5368730E-03  4.5468191E-02
  3.5240980E-02  6.0156334E-01  8.0920299E-01  9.0566580E-01  1.0337874E+00  1.0635190E+00  1.8250438E+01  1.1315539E+00  1.1926830E+00  9.0303643E-01  8.0920299E-01  6.0156334E-01  3.5240980E-02  4.6978266E-02
  6.0272758E-02  6.2209405E-01  8.2850717E-01  9.2461942E-01  1.0522123E+00  1.0820170E+00  1.8488516E+01  1.1508420E+00  1.2124463E+00  9.2199989E-01  8.2850717E-01  6.2209405E-01  6.0272758E-02  4.8495312E-02
  8.4657197E-02  6.4210666E-01  8.4732472E-01  9.4309443E-01  1.0701751E+00  1.1000467E+00  1.8716129E+01  1.1696481E+00  1.2317157E+00  9.4048481E-01  8.4732472E-01  6.4210666E-01  8.4657197E-02  5.0019401E-02
  1.0841803E-01  6.6161841E-01  8.6567140E-01  9.6110626E-01  1.0876904E+00  1.1176230E+00  1.8933756E+01  1.1879874E+00  1.2505072E+00  9.5850662E-01  8.6567140E-01  6.6161841E-01  1.0841803E-01  5.1550606E-02
  1.3157794E-01  6.8064594E-01  8.8356250E-01  9.7866989E-01  1.1047723E+00  1.1347603E+00  1.9141854E+01  1.2058747E+00  1.2688362E+00  9.7608029E-01  8.8356250E-01  6.8064594E-01  1.3157794E-01  5.3088997E-02
  1.5415837E-01  6.9920506E-01  9.0101248E-01  9.9579957E-01  1.1214342E+00  1.1514728E+00  1.9340850E+01  1.2233245E+00  1.2867176E+00  9.9322005E-01  9.0101248E-01  6.9920506E-01  1.5415837E-01  5.4634650E-02
  1.7618002E-01  7.1731138E-01  9.1803580E-01  1.0125095E+00  1.1376897E+00  1.1677739E+00  1.9531166E+01  1.2403506E+00  1.3041659E+00  1.0099400E+00  9.1803580E-01  7.1731138E-01  1.7618002E-01  5.6187639E-02
  1.9766238E-01  7.3497942E-01  9.3464585E-01  1.0288127E+00  1.1535511E+00  1.1836766E+00  1.9713187E+01  1.2569663E+00  1.3211948E+00  1.0262534E+00  9.3464585E-01  7.3497942E-01  1.9766238E-01  5.7748040E-02
  2.1862417E-01  7.5222338E-01  9.5085574E-01  1.0447221E+00  1.1690307E+00  1.1991935E+00  1.9887284E+01  1.2731845E+00  1.3378175E+00  1.0421730E+00  9.5085574E-01  7.5222338E-01  2.1862417E-01  5.9315931E-02
  2.3908320E-01  7.6905678E-01  9.6667802E-01  1.0602501E+00  1.1841403E+00  1.2143364E+00  2.0053809E+01  1.2890173E+00  1.3540469E+00  1.0577112E+00  9.6667802E-01  7.6905678E-01  2.3908320E-01  6.0891390E-02
  2.5905649E-01  7.8549266E-01  9.8212479E-01  1.0754086E+00  1.1988912E+00  1.2291171E+00  2.0213094E+01  1.3044768E+00  1.3698950E+00  1.0728799E+00  9.8212479E-01  7.8549266E-01  2.5905649E-01  6.2474499E-02
  2.7856030E-01  8.0154352E-01  9.9720764E-01  1.0902089E+00  1.2132943E+00  1.2435467E+00  2.0365459E+01  1.3195743E+00  1.3853739E+00  1.0876904E+00  9.9720764E-01  8.0154352E-01  2.7856030E-01  6.4065337E-02
  2.9761012E-01  8.1722125E-01  1.0119377E+00  1.1046620E+00  1.2273600E+00  1.2576358E+00  2.0511197E+01  1.3343208E+00  1.4004946E+00  1.1021537E+00  1.0119377E+00  8.1722125E-01  2.9761012E-01  6.5663988E-02
  3.1622099E-01  8.3253767E-01  1.0263260E+00  1.1187787E+00  1.2410988E+00  1.2713949E+00  2.0650607E+01  1.3487271E+00  1.4152685E+00  1.1162806E+00  1.0263260E+00  8.3253767E-01  3.1622099E-01  6.7270536E-02
  3.3440697E-01  8.4750371E-01  1.0403826E+00  1.1325690E+00  1.2545203E+00  1.2848340E+00  2.0783954E+01  1.3628033E+00  1.4297057E+00  1.1300812E+00  1.0403826E+00  8.4750371E-01  3.3440697E-01  6.8885065E-02
  3.5218173E-01  8.6213004E-01  1.0541176E+00  1.1460429E+00  1.2676339E+00  1.2979626E+00  2.0911496E+01  1.3765592E+00  1.4438166E+00  1.1435652E+00  1.0541176E+00  8.6213004E-01  3.5218173E-01  7.0507663E-02
  3.6955833E-01  8.7642694E-01  1.0675406E+00  1.1592096E+00  1.2804486E+00  1.3107900E+00  2.1033480E+01  1.3900044E+00  1.4576108E+00  1.1567421E+00  1.0675406E+00  8.7642694E-01  3.6955833E-01  7.2138418E-02
  3.8654921E-01  8.9040425E-01  1.0806609E+00  1.1720783E+00  1.2929733E+00  1.3233250E+00  2.1150139E+01  1.4031479E+00  1.4710976E+00  1.1696210E+00  1.0806609E+00  8.9040425E-01  3.8654921E-01  7.3777419E-02
  4.0316639E-01  9.0407145E-01  1.0934872E+00  1.1846578E+00  1.3052164E+00  1.3355762E+00  2.1261695E+01  1.4159985E+00  1.4842862E+00  1.1822107E+00  1.0934872E+00  9.0407145E-01  4.0316639E-01  7.5424759E-02
  4.1942128E-01  9.1743766E-01  1.1060282E+00  1.1969565E+00  1.3171859E+00  1.3475518E+00  2.1368360E+01  1.4285648E+00  1.4971852E+00  1.1945195E+00  1.1060282E+00  9.1743766E-01  4.1942128E-01  7.7080528E-02
  4.3532484E-01  9.3051154E-01  1.1182919E+00  1.2089824E+00  1.3288897E+00  1.3592597E+00  2.1470330E+01  1.4408546E+00  1.5098029E+00  1.2065555E+00  1.1182919E+00  9.3051154E-01  4.3532484E-01  7.8744823E-02
  4.5088781E-01  9.4330180E-01  1.1302867E+00  1.2207436E+00  1.3403355E+00  1.3707079E+00  2.1567806E+01  1.4528763E+00  1.5221475E+00  1.2183267E+00  1.1302867E+00  9.4330180E-01  4.5088781E-01  8.0417737E-02
  0.0000000E+00  4.0000000E-09  4.2637593E-17  1.0981204E-01  2.4839791E-01  2.8111396E-01  1.4675030E+00  3.1411810E-01  3.6464056E-01  1.0682855E-01  4.2637593E-17  3.6000000E-09  0.0000000E+00  6.4075445E-03
  0.0000000E+00  4.2000000E-09  3.4728263E-02  1.4250893E-01  2.7742813E-01  3.1454904E-01  2.4014598E+00  3.4689914E-01  4.0291809E-01  1.3941595E-01  3.4728263E-02  3.6000000E-09  0.0000000E+00  7.6691852E-03
  0.0000000E+00  5.1000000E-09  6.9041707E-02  1.7548421E-01  3.0852343E-01  3.4576803E-01  3.3090773E+00  3.8131635E-01  4.3853646E-01  1.7239563E-01  6.9041707E-02  4.6000000E-09  0.0000000E+00  8.9341436E-03
  0.0000000E+00  4.7000000E-09  1.0264061E-01  2.0786381E-01  3.3927407E-01  3.7655764E-01  4.1813702E+00  4.1510714E-01  4.7338732E-01  2.0478299E-01  1.0264061E-01  4.9000000E-09  0.0000000E+00  1.0203284E-02
  0.0000000E+00  4.1000000E-09  1.3535444E-01  2.3945719E-01  3.6943588E-01  4.0669823E-01  5.0126911E+00  4.4806790E-01  5.0729712E-01  2.3638671E-01  1.3535444E-01  4.5000000E-09  0.0000000E+00  1.1476636E-02
  0.0000000E+00  5.4000000E-09  1.6709275E-01  2.7015888E-01  3.9886442E-01  4.3606268E-01  5.8007297E+00  4.8008731E-01  5.4017679E-01  2.6710072E-01  1.6709275E-01  4.6000000E-09  0.0000000E+00  1.2754232E-02
  0.0000000E+00  5.1000000E-09  1.9781462E-01  2.9991626E-01  4.2747800E-01  4.6458164E-01  6.5451988E+00  5.1111081E-01  5.7198853E-01  2.9687192E-01  1.9781462E-01  4.6000000E-09  0.0000000E+00  1.4036102E-02
  0.0000000E+00  9.6166343E-03  2.2738082E-01  3.2858717E-01  4.5511942E-01  4.9210761E-01  7.2257239E+00  5.4098605E-01  6.0258788E-01  3.2555776E-01  2.2738082E-01  9.6166343E-03  0.0000000E+00  1.5322143E-02
  0.0000000E+00  4.0713444E-02  2.5569117E-01  3.5606722E-01  4.8166993E-01  5.1852917E-01  7.8204528E+00  5.6960278E-01  6.3187225E-01  3.5305350E-01  2.5569117E-01  4.0713444E-02  0.0000000E+00  1.6612335E-02
  0.0000000E+00  7.0731463E-02  2.8308732E-01  3.8267533E-01  5.0741678E-01  5.4413610E-01  8.3823424E+00  5.9730838E-01  6.6020882E-01  3.7967805E-01  2.8308732E-01  7.0731463E-02  0.0000000E+00  1.7907108E-02
  0.0000000E+00  9.9703209E-02  3.0958460E-01  4.0842288E-01  5.3236243E-01  5.6893413E-01  8.9128432E+00  6.2411521E-01  6.8761500E-01  4.0544262E-01  3.0958460E-01  9.9703209E-02  0.0000000E+00  1.9206496E-02
  0.0000000E+00  1.2766468E-01  3.3520417E-01  4.3332756E-01  5.5651722E-01  5.9293607E-01  9.4134992E+00  6.5004225E-01  7.1411379E-01  4.3036479E-01  3.3520417E-01  1.2766468E-01  0.0000000E+00  2.0510537E-02
  0.0000000E+00  1.5465414E-01  3.5997175E-01  4.5741212E-01  5.7989768E-01  6.1616042E-01  9.8859104E+00  6.7511361E-01  7.3973268E-01  4.5446718E-01  3.5997175E-01  1.5465414E-01  0.0000000E+00  2.1819266E-02
  0.0000000E+00  1.8071034E-01  3.8391505E-01  4.8070162E-01  6.0252372E-01  6.3862856E-01  1.0331656E+01  6.9935583E-01  7.6450095E-01  4.7777478E-01  3.8391505E-01  1.8071034E-01  0.0000000E+00  2.3132721E-02
  0.0000000E+00  2.0587175E-01  4.0706294E-01  5.0322263E-01  6.2441750E-01  6.6036379E-01  1.0752276E+01  7.2279697E-01  7.8844898E-01  5.0031410E-01  4.0706294E-01  2.0587175E-01  0.0000000E+00  2.4450938E-02
  0.0000000E+00  2.3017669E-01  4.2944540E-01  5.2500308E-01  6.4560319E-01  6.8139118E-01  1.1149270E+01  7.4546639E-01  8.1160808E-01  5.2211298E-01  4.2944540E-01  2.3017669E-01  0.0000000E+00  2.5773954E-02
  0.0000000E+00  2.5366203E-01  4.5109188E-01  5.4607054E-01  6.6610510E-01  7.0173571E-01  1.1524055E+01  7.6739304E-01  8.3400888E-01  5.4319897E-01  4.5109188E-01  2.5366203E-01  0.0000000E+00  2.7101806E-02
  0.0000000E+00  2.7636333E-01  4.7203135E-01  5.6645245E-01  6.8594799E-01  7.2142266E-01  1.1877973E+01  7.8860593E-01  8.5568180E-01  5.6359946E-01  4.7203135E-01  2.7636333E-01  0.0000000E+00  2.8434537E-02
  0.0000000E+00  2.9831517E-01  4.9229261E-01  5.8617606E-01  7.0515663E-01  7.4047722E-01  1.2212303E+01  8.0913352E-01  8.7665652E-01  5.8334167E-01  4.9229261E-01  2.9831517E-01  0.0000000E+00  2.9772184E-02
  0.0000000E+00  3.1955029E-01  5.1190319E-01  6.0526761E-01  7.2375512E-01  7.5892375E-01  1.2528235E+01  8.2900329E-01  8.9696158E-01  6.0245179E-01  5.1190319E-01  3.1955029E-01  0.0000000E+00  3.1114787E-02
  0.0000000E+00  3.4009988E-01  5.3088956E-01  6.2375238E-01  7.4176693E-01  7.7678597E-01  1.2826883E+01  8.4824175E-01  9.1662439E-01  6.2095511E-01  5.3088956E-01  3.4009988E-01  0.0000000E+00  3.2462383E-02
  0.0000000E+00  3.5999405E-01  5.4927768E-01  6.4165525E-01  7.5921525E-01  7.9408719E-01  1.3109302E+01  8.6687486E-01  9.3567176E-01  6.3887647E-01  5.4927768E-01  3.5999405E-01  0.0000000E+00  3.3815016E-02
  0.0000000E+00  3.7926109E-01  5.6709203E-01  6.5899969E-01  7.7612213E-01  8.1084961E-01  1.3376468E+01  8.8492722E-01  9.5412895E-01  6.5623933E-01  5.6709203E-01  3.7926109E-01  0.0000000E+00  3.5172724E-02
  0.0000000E+00  3.9792799E-01  5.8435616E-01  6.7580848E-01  7.9250917E-01  8.2709490E-01  1.3629294E+01  9.0242277E-01  9.7202060E-01  6.7306645E-01  5.8435616E-01  3.9792799E-01  0.0000000E+00  3.6535558E-02
  0.0000000E+00  4.1602029E-01  6.0109247E-01  6.9210299E-01  8.0839635E-01  8.4284303E-01  1.3868629E+01  9.1938346E-01  9.8936915E-01  6.8937919E-01  6.0109247E-01  4.1602029E-01  0.0000000E+00  3.7903543E-02
  0.0000000E+00  4.3356217E-01  6.1732231E-01  7.0790393E-01  8.2380346E-01  8.5811383E-01  1.4095262E+01  9.3583111E-01  1.0061969E+00  7.0519825E-01  6.1732231E-01  4.3356217E-01  0.0000000E+00  3.9276733E-02
  3.6449911E-17  4.5057692E-01  6.3306640E-01  7.2323130E-01  8.3874958E-01  8.7292637E-01  1.4309946E+01  9.5178656E-01  1.0225253E+00  7.2054362E-01  6.3306640E-01  4.5057692E-01  3.6449911E-17  4.0655166E-02
  7.4236673E-03  4.6708748E-01  6.4834866E-01  7.3813024E-01  8.5322149E-01  8.8732615E-01  1.4499423E+01  9.6729357E-01  1.0383389E+00  7.3546041E-01  6.4834866E-01  4.6708748E-01  7.4236673E-03  4.2036901E-02
  2.7388167E-02  4.8311436E-01  6.6318760E-01  7.5258077E-01  8.6731546E-01  9.0129233E-01  1.4655137E+01  9.8233244E-01  1.0537357E+00  7.4992862E-01  6.6318760E-01  4.8311436E-01  2.7388167E-02  4.3420913E-02
  4.6768710E-02  4.9867404E-01  6.7759092E-01  7.6660517E-01  8.8099264E-01  9.1484403E-01  1.4802467E+01  9.9693042E-01  1.0686862E+00  7.6397060E-01  6.7759092E-01  4.9867404E-01  4.6768710E-02  4.4811300E-02
  6.5589324E-02  5.1378447E-01  6.9157508E-01  7.8021947E-01  8.9426851E-01  9.2799673E-01  1.4941852E+01  1.0111040E+00  1.0832074E+00  7.7760239E-01  6.9157508E-01  5.1378447E-01  6.5589324E-02  4.6208126E-02
  8.3872829E-02  5.2846311E-01  7.0515610E-01  7.9343932E-01  9.0715829E-01  9.4076559E-01  1.5073721E+01  1.0248695E+00  1.0973156E+00  7.9083964E-01  7.0515610E-01  5.2846311E-01  8.3872829E-02  4.7611458E-02
  1.0164077E-01  5.4272623E-01  7.1834892E-01  8.0627932E-01  9.1967611E-01  9.5316472E-01  1.5198462E+01  1.0382419E+00  1.1110261E+00  8.0369693E-01  7.1834892E-01  5.4272623E-01  1.0164077E-01  4.9021362E-02
  1.1891355E-01  5.5658938E-01  7.3116790E-01  8.1875348E-01  9.3183556E-01  9.6520768E-01  1.5316443E+01  1.0512356E+00  1.1243536E+00  8.1618828E-01  7.3116790E-01  5.5658938E-01  1.1891355E-01  5.0437905E-02
  1.3571055E-01  5.7006749E-01  7.4362674E-01  8.3087522E-01  9.4364971E-01  9.7690749E-01  1.5428014E+01  1.0638645E+00  1.1373120E+00  8.2832709E-01  7.4362674E-01  5.7006749E-01  1.3571055E-01  5.1861153E-02
  1.5205009E-01  5.8317467E-01  7.5573853E-01  8.4265728E-01  9.5513093E-01  9.8827648E-01  1.5533502E+01  1.0761418E+00  1.1499147E+00  8.4012612E-01  7.5573853E-01  5.8317467E-01  1.5205009E-01  5.3291179E-02
  1.6794951E-01  5.9592427E-01  7.6751560E-01  8.5411176E-01  9.6629101E-01  9.9932638E-01  1.5633210E+01  1.0880799E+00  1.1621743E+00  8.5159745E-01  7.6751560E-01  5.9592427E-01  1.6794951E-01  5.4728050E-02
  1.8342554E-01  6.0832948E-01  7.7897014E-01  8.6525061E-01  9.7714160E-01  1.0100688E+00  1.5727440E+01  1.0996913E+00  1.1741034E+00  8.6275305E-01  7.7897014E-01  6.0832948E-01  1.8342554E-01  5.6171841E-02
  1.9849379E-01  6.2040242E-01  7.9011343E-01  8.7608483E-01  9.8769342E-01  1.0205144E+00  1.5816460E+01  1.1109872E+00  1.1857133E+00  8.7360388E-01  7.9011343E-01  6.2040242E-01  1.9849379E-01  5.7622622E-02
  2.1316923E-01  6.3215482E-01  8.0095634E-01  8.8662505E-01  9.9795684E-01  1.0306736E+00  1.5900528E+01  1.1219786E+00  1.1970153E+00  8.8416061E-01  8.0095634E-01  6.3215482E-01  2.1316923E-01  5.9080472E-02
  2.2746609E-01  6.4359787E-01  8.1150925E-01  8.9688145E-01  1.0079418E+00  1.0405562E+00  1.5979889E+01  1.1326761E+00  1.2080199E+00  8.9443340E-01  8.1150925E-01  6.4359787E-01  2.2746609E-01  6.0545457E-02
  2.4139791E-01  6.5474227E-01  8.2178213E-01  9.0686382E-01  1.0176579E+00  1.0501716E+00  1.6054773E+01  1.1430898E+00  1.2187373E+00  9.0443204E-01  8.2178213E-01  6.5474227E-01  2.4139791E-01  6.2017662E-02
  2.5497762E-01  6.6559826E-01  8.3178449E-01  9.1658145E-01  1.0271141E+00  1.0595291E+00  1.6125397E+01  1.1532293E+00  1.2291774E+00  9.1416582E-01  8.3178449E-01  6.6559826E-01  2.5497762E-01  6.3497161E-02
  2.6821741E-01  6.7617545E-01  8.4152529E-01  9.2604310E-01  1.0363192E+00  1.0686370E+00  1.6191959E+01  1.1631035E+00  1.2393491E+00  9.2364351E-01  8.4152529E-01  6.7617545E-01  2.6821741E-01  6.4984033E-02
  2.8112922E-01  6.8648345E-01  8.5101352E-01  9.3525759E-01  1.0452816E+00  1.0775040E+00  1.6254666E+01  1.1727217E+00  1.2492618E+00  9.3287392E-01  8.5101352E-01  6.8648345E-01  2.8112922E-01  6.6478358E-02
  2.9372415E-01  6.9653110E-01  8.6025740E-01  9.4423301E-01  1.0540093E+00  1.0861380E+00  1.6313695E+01  1.1820922E+00  1.2589238E+00  9.4186513E-01  8.6025740E-01  6.9653110E-01  2.9372415E-01  6.7980220E-02
  3.0601289E-01  7.0632693E-01  8.6926490E-01  9.5297713E-01  1.0625099E+00  1.0945464E+00  1.6369219E+01  1.1912229E+00  1.2683432E+00  9.5062493E-01  8.6926490E-01  7.0632693E-01  3.0601289E-01  6.9489698E-02
  3.1800569E-01  7.1587915E-01  8.7804368E-01  9.6149749E-01  1.0707908E+00  1.1027366E+00  1.6421403E+01  1.2001218E+00  1.2775281E+00  9.5916085E-01  8.7804368E-01  7.1587915E-01  3.1800569E-01  7.1006878E-02
  3.2971227E-01  7.2519562E-01  8.8660110E-01  9.6980128E-01  1.0788591E+00  1.1107157E+00  1.6470401E+01  1.2087962E+00  1.2864857E+00  9.6748009E-01  8.8660110E-01  7.2519562E-01  3.2971227E-01  7.2531849E-02
  3.4114203E-01  7.3428385E-01  8.9494419E-01  9.7789543E-01  1.0867215E+00  1.1184904E+00  1.6516361E+01  1.2172533E+00  1.2952235E+00  9.7558957E-01  8.9494419E-01  7.3428385E-01  3.4114203E-01  7.4064692E-02
  0.0000000E+00  3.3000000E-09  3.8832814E-17  1.0289912E-01  2.2158592E-01  2.6907914E-01  1.7041531E+00  3.0264913E-01  3.7072061E-01  9.9541773E-02  3.8832814E-17  1.0000000E-09  0.0000000E+00  6.3439992E-03
  0.0000000E+00  3.3000000E-09  3.1629192E-02  1.3269317E-01  2.5311730E-01  2.9455356E-01  2.5297342E+00  3.3825333E-01  4.0170602E-01  1.2929193E-01  3.1629192E-02  1.0000000E-09  0.0000000E+00  7.4956547E-03
  0.0000000E+00  2.8000000E-09  6.2230888E-02  1.6180452E-01  2.8143023E-01  3.2176363E-01  3.3108852E+00  3.7031244E-01  4.3401852E-01  1.5843623E-01  6.2230888E-02  3.7000000E-09  0.0000000E+00  8.6480231E-03
  0.0000000E+00  2.9000000E-09  9.1675402E-02  1.8989970E-01  3.0879927E-01  3.4816360E-01  4.0439012E+00  4.0109436E-01  4.6511390E-01  1.8656583E-01  9.1675402E-02  3.6000000E-09  0.0000000E+00  9.8041930E-03
  0.0000000E+00  2.3000000E-09  1.1991573E-01  2.1690743E-01  3.3513754E-01  3.7364296E-01  4.7279191E+00  4.3056103E-01  4.9493760E-01  2.1360887E-01  1.1991573E-01  1.9000000E-09  0.0000000E+00  1.0964192E-02
  0.0000000E+00  3.4000000E-09  1.4695409E-01  2.4281151E-01  3.6041814E-01  3.9815653E-01  5.3641898E+00  4.5872537E-01  5.2349068E-01  2.3954870E-01  1.4695409E-01  4.2000000E-09  0.0000000E+00  1.2128048E-02
  0.0000000E+00  2.7000000E-09  1.7281744E-01  2.6762469E-01  3.8464616E-01  4.2169502E-01  5.9550116E+00  4.8562501E-01  5.5080209E-01  2.6439779E-01  1.7281744E-01  4.2000000E-09  0.0000000E+00  1.3295789E-02
  0.0000000E+00  8.0971478E-03  1.9745304E-01  2.9128992E-01  4.0776230E-01  4.4419215E-01  6.4853205E+00  5.1120741E-01  5.7680993E-01  2.8809864E-01  1.9745304E-01  8.0971478E-03  0.0000000E+00  1.4467316E-02
  0.0000000E+00  3.4122347E-02  2.2083318E-01  3.1377389E-01  4.2973041E-01  4.6560448E-01  6.9388029E+00  5.3544708E-01  6.0148151E-01  3.1061760E-01  2.2083318E-01  3.4122347E-02  0.0000000E+00  1.5642603E-02
  0.0000000E+00  5.9023376E-02  2.4324738E-01  3.3534068E-01  4.5080200E-01  4.8616446E-01  7.3612524E+00  5.5866452E-01  6.2514103E-01  3.3221926E-01  2.4324738E-01  5.9023376E-02  0.0000000E+00  1.6822054E-02
  0.0000000E+00  8.2858136E-02  2.6473671E-01  3.5602651E-01  4.7101114E-01  5.0590109E-01  7.7547364E+00  5.8090571E-01  6.4783169E-01  3.5293977E-01  2.6473671E-01  8.2858136E-02  0.0000000E+00  1.8005700E-02
  0.0000000E+00  1.0568344E-01  2.8534403E-01  3.7587010E-01  4.9039481E-01  5.2484699E-01  8.1212759E+00  6.0221792E-01  6.6959848E-01  3.7281774E-01  2.8534403E-01  1.0568344E-01  0.0000000E+00  1.9193575E-02
  0.0000000E+00  1.2755372E-01  3.0511145E-01  3.9490996E-01  5.0899001E-01  5.4303549E-01  8.4627821E+00  6.2264719E-01  6.9048560E-01  3.9189166E-01  3.0511145E-01  1.2755372E-01  0.0000000E+00  2.0385711E-02
  0.0000000E+00  1.4852070E-01  3.2408010E-01  4.1318406E-01  5.2683344E-01  5.6050005E-01  8.7810528E+00  6.4223813E-01  7.1053617E-01  4.1019944E-01  3.2408010E-01  1.4852070E-01  0.0000000E+00  2.1582141E-02
  0.0000000E+00  1.6863388E-01  3.4229034E-01  4.3073002E-01  5.4396162E-01  5.7727444E-01  9.0777856E+00  6.6103425E-01  7.2979246E-01  4.2777867E-01  3.4229034E-01  1.6863388E-01  0.0000000E+00  2.2782899E-02
  0.0000000E+00  1.8793933E-01  3.5978009E-01  4.4758335E-01  5.6040907E-01  5.9339075E-01  9.3545366E+00  6.7907624E-01  7.4829420E-01  4.4466485E-01  3.5978009E-01  1.8793933E-01  0.0000000E+00  2.3988018E-02
  0.0000000E+00  2.0648093E-01  3.7658615E-01  4.6377869E-01  5.7620960E-01  6.0888067E-01  9.6127664E+00  6.9640341E-01  7.6607983E-01  4.6089261E-01  3.7658615E-01  2.0648093E-01  0.0000000E+00  2.5197531E-02
  0.0000000E+00  2.2429947E-01  3.9274298E-01  4.7934863E-01  5.9139512E-01  6.2377426E-01  9.8538107E+00  7.1305268E-01  7.8318567E-01  4.7649451E-01  3.9274298E-01  2.2429947E-01  0.0000000E+00  2.6411479E-02
  0.0000000E+00  2.4143334E-01  4.0828334E-01  4.9432417E-01  6.0599594E-01  6.3810017E-01  1.0078904E+01  7.2905873E-01  7.9964583E-01  4.9150157E-01  4.0828334E-01  2.4143334E-01  0.0000000E+00  2.7629893E-02
  0.0000000E+00  2.5791826E-01  4.2323793E-01  5.0873453E-01  6.2004067E-01  6.5188558E-01  1.0289179E+01  7.4445415E-01  8.1549246E-01  5.0594298E-01  4.2323793E-01  2.5791826E-01  0.0000000E+00  2.8852809E-02
  0.0000000E+00  2.7378817E-01  4.3763624E-01  5.2260780E-01  6.3355689E-01  6.6515675E-01  1.0485693E+01  7.5927010E-01  8.3075634E-01  5.1984686E-01  4.3763624E-01  2.7378817E-01  0.0000000E+00  3.0080264E-02
  0.0000000E+00  2.8907440E-01  4.5150555E-01  5.3597001E-01  6.4657013E-01  6.7793807E-01  1.0669404E+01  7.7353538E-01  8.4546601E-01  5.3323922E-01  4.5150555E-01  2.8907440E-01  0.0000000E+00  3.1312292E-02
  0.0000000E+00  3.0380646E-01  4.6487170E-01  5.4884586E-01  6.5910467E-01  6.9025278E-01  1.0841200E+01  7.8727724E-01  8.5964847E-01  5.4614478E-01  4.6487170E-01  3.0380646E-01  0.0000000E+00  3.2548934E-02
  0.0000000E+00  3.1801181E-01  4.7775886E-01  5.6125863E-01  6.7118349E-01  7.0212297E-01  1.1001891E+01  8.0052140E-01  8.7332931E-01  5.5858681E-01  4.7775886E-01  3.1801181E-01  0.0000000E+00  3.3790231E-02
  0.0000000E+00  3.3171659E-01  4.9019015E-01  5.7323028E-01  6.8282799E-01  7.1356913E-01  1.1152240E+01  8.1329161E-01  8.8653207E-01  5.7058730E-01  4.9019015E-01  3.3171659E-01  0.0000000E+00  3.5036209E-02
  0.0000000E+00  3.4494494E-01  5.0218698E-01  5.8478149E-01  6.9405861E-01  7.2461098E-01  1.1292935E+01  8.2561063E-01  8.9927941E-01  5.8216691E-01  5.0218698E-01  3.4494494E-01  0.0000000E+00  3.6286913E-02
  2.7908360E-17  3.5771958E-01  5.1376962E-01  5.9593172E-01  7.0489453E-01  7.3526700E-01  1.1424614E+01  8.3749970E-01  9.1159253E-01  5.9334513E-01  5.1376962E-01  3.5771958E-01  2.7908360E-17  3.7542382E-02
  5.6840297E-03  3.7006498E-01  5.2496338E-01  6.0672569E-01  7.1532739E-01  7.4558216E-01  1.1537019E+01  8.4900254E-01  9.2346040E-01  6.0416660E-01  5.2496338E-01  3.7006498E-01  5.6840297E-03  3.8800819E-02
  2.0934639E-02  3.8200217E-01  5.3578743E-01  6.1714719E-01  7.2544789E-01  7.5553934E-01  1.1623587E+01  8.6010391E-01  9.3497483E-01  6.1461511E-01  5.3578743E-01  3.8200217E-01  2.0934639E-02  4.0061267E-02
  3.5689448E-02  3.9354309E-01  5.4624538E-01  6.2721280E-01  7.3521720E-01  7.6515206E-01  1.1704096E+01  8.7082683E-01  9.4610742E-01  6.2470742E-01  5.4624538E-01  3.9354309E-01  3.5689448E-02  4.1327505E-02
  4.9970918E-02  4.0470503E-01  5.5635308E-01  6.3693793E-01  7.4465054E-01  7.7443514E-01  1.1778915E+01  8.8118775E-01  9.5687459E-01  6.3445891E-01  5.5635308E-01  4.0470503E-01  4.9970918E-02  4.2599594E-02
  6.3800101E-02  4.1550433E-01  5.6612545E-01  6.4633708E-01  7.5376229E-01  7.8340259E-01  1.1848387E+01  8.9120221E-01  9.6729181E-01  6.4388413E-01  5.6612545E-01  4.1550433E-01  6.3800101E-02  4.3877591E-02
  7.7196894E-02  4.2595638E-01  5.7557670E-01  6.5542401E-01  7.6256600E-01  7.9206759E-01  1.1912831E+01  9.0088481E-01  9.7737366E-01  6.5299679E-01  5.7557670E-01  4.2595638E-01  7.7196894E-02  4.5161555E-02
  9.0179936E-02  4.3607564E-01  5.8472004E-01  6.6421162E-01  7.7107451E-01  8.0044268E-01  1.1972539E+01  9.1024944E-01  9.8713402E-01  6.6180983E-01  5.8472004E-01  4.3607564E-01  9.0179936E-02  4.6451550E-02
  1.0276698E-01  4.4587620E-01  5.9356845E-01  6.7271253E-01  7.7930029E-01  8.0854002E-01  1.2027802E+01  9.1930950E-01  9.9658627E-01  6.7033587E-01  5.9356845E-01  4.4587620E-01  1.0276698E-01  4.7747634E-02
  1.1497464E-01  4.5537098E-01  6.0213383E-01  6.8093829E-01  7.8725474E-01  8.1637075E-01  1.2078873E+01  9.2807730E-01  1.0057427E+00  6.7858646E-01  6.0213383E-01  4.5537098E-01  1.1497464E-01  4.9049873E-02
  1.2681866E-01  4.6457238E-01  6.1042759E-01  6.8890002E-01  7.9494891E-01  8.2394563E-01  1.2125996E+01  9.3656469E-01  1.0146152E+00  6.8657273E-01  6.1042759E-01  4.6457238E-01  1.2681866E-01  5.0358327E-02
  1.3831392E-01  4.7349216E-01  6.1846058E-01  6.9660828E-01  8.0239320E-01  8.3127484E-01  1.2169397E+01  9.4478290E-01  1.0232150E+00  6.9430523E-01  6.1846058E-01  4.7349216E-01  1.3831392E-01  5.1673064E-02
  1.4947450E-01  4.8214142E-01  6.2624307E-01  7.0407306E-01  8.0959751E-01  8.3836806E-01  1.2209290E+01  9.5274257E-01  1.0315528E+00  7.0179396E-01  6.2624307E-01  4.8214142E-01  1.4947450E-01  5.2994148E-02
  1.6031373E-01  4.9053074E-01  6.3378480E-01  7.1130383E-01  8.1657123E-01  8.4523446E-01  1.2245874E+01  9.6045377E-01  1.0396385E+00  7.0904841E-01  6.3378480E-01  4.9053074E-01  1.6031373E-01  5.4321648E-02
  1.7084415E-01  4.9867003E-01  6.4109491E-01  7.1830952E-01  8.2332318E-01  8.5188268E-01  1.2279327E+01  9.6792602E-01  1.0474819E+00  7.1607750E-01  6.4109491E-01  4.9867003E-01  1.7084415E-01  5.5655629E-02
  1.8107793E-01  5.0656911E-01  6.4818253E-01  7.2509901E-01  8.2986216E-01  8.5832131E-01  1.2309838E+01  9.7516873E-01  1.0550923E+00  7.2289012E-01  6.4818253E-01  5.0656911E-01  1.8107793E-01  5.6996161E-02
  1.9102637E-01  5.1423694E-01  6.5505592E-01  7.3168035E-01  8.3619613E-01  8.6455816E-01  1.2337564E+01  9.8219046E-01  1.0624783E+00  7.2949432E-01  6.5505592E-01  5.1423694E-01  1.9102637E-01  5.8343316E-02
  2.0070026E-01  5.2168214E-01  6.6172306E-01  7.3806132E-01  8.4233280E-01  8.7060077E-01  1.2362659E+01  9.8899949E-01  1.0696482E+00  7.3589789E-01  6.6172306E-01  5.2168214E-01  2.0070026E-01  5.9697163E-02
  2.1010986E-01  5.2891292E-01  6.6819157E-01  7.4424934E-01  8.4827948E-01  8.7645630E-01  1.2385267E+01  9.9560369E-01  1.0766099E+00  7.4210826E-01  6.6819157E-01  5.2891292E-01  2.1010986E-01  6.1057776E-02
  2.1926493E-01  5.3593714E-01  6.7446872E-01  7.5025150E-01  8.5404322E-01  8.8213167E-01  1.2405524E+01  1.0020106E+00  1.0833710E+00  7.4813251E-01  6.7446872E-01  5.3593714E-01  2.1926493E-01  6.2425227E-02
  2.2817477E-01  5.4276224E-01  6.8056142E-01  7.5607452E-01  8.5963066E-01  8.8763337E-01  1.2423558E+01  1.0082273E+00  1.0899387E+00  7.5397738E-01  6.8056142E-01  5.4276224E-01  2.2817477E-01  6.3799593E-02
  2.3684823E-01  5.4939535E-01  6.8647628E-01  7.6172487E-01  8.6504819E-01  8.9296769E-01  1.2439488E+01  1.0142608E+00  1.0963199E+00  7.5964933E-01  6.8647628E-01  5.4939535E-01  2.3684823E-01  6.5180948E-02
  2.4529359E-01  5.5584309E-01  6.9221941E-01  7.6720849E-01  8.7030171E-01  8.9814037E-01  1.2453420E+01  1.0201172E+00  1.1025208E+00  7.6515432E-01  6.9221941E-01  5.5584309E-01  2.4529359E-01  6.6569371E-02
  2.5351913E-01  5.6211227E-01  6.9779717E-01  7.7253161E-01  8.7539736E-01  9.0315747E-01  1.2465474E+01  1.0258033E+00  1.1085483E+00  7.7049857E-01  6.9779717E-01  5.6211227E-01  2.5351913E-01  6.7964940E-02
  0.0000000E+00  2.6000000E-09  3.4823359E-17  9.4716033E-02  2.1320421E-01  2.4534706E-01  1.9314836E+00  3.1254095E-01  3.6865951E-01  9.1090510E-02  3.4823359E-17  6.0000000E-10  0.0000000E+00  6.4144889E-03
  0.0000000E+00  2.6000000E-09  2.8359074E-02  1.2109515E-01  2.3980991E-01  2.6988575E-01  2.6401762E+00  3.4362554E-01  3.9940758E-01  1.1744895E-01  2.8359074E-02  6.0000001E-10  0.0000000E+00  7.4583259E-03
  0.0000000E+00  3.3000000E-09  5.5219648E-02  1.4642304E-01  2.6430640E-01  2.9366002E-01  3.2894473E+00  3.7233677E-01  4.2915832E-01  1.4285360E-01  5.5219648E-02  3.5000000E-09  0.0000000E+00  8.5002798E-03
  0.0000000E+00  3.7000000E-09  8.0603655E-02  1.7042316E-01  2.8752366E-01  3.1627246E-01  3.8838643E+00  3.9936743E-01  4.5723952E-01  1.6692801E-01  8.0603655E-02  3.1000000E-09  0.0000000E+00  9.5456616E-03
  0.0000000E+00  1.1000000E-09  1.0457073E-01  1.9312929E-01  3.0948797E-01  3.3772387E-01  4.4263837E+00  4.2480445E-01  4.8372391E-01  1.8970595E-01  1.0457073E-01  2.0000000E-09  0.0000000E+00  1.0594496E-02
  0.0000000E+00  3.6000000E-09  1.2719923E-01  2.1460014E-01  3.3025285E-01  3.5804908E-01  4.9208957E+00  4.4875051E-01  5.0870537E-01  2.1124617E-01  1.2719923E-01  4.4000000E-09  0.0000000E+00  1.1646807E-02
  0.0000000E+00  2.5000000E-09  1.4857383E-01  2.3490520E-01  3.4988375E-01  3.7729955E-01  5.3715349E+00  4.7131107E-01  5.3228399E-01  2.3161820E-01  1.4857383E-01  4.0000000E-09  0.0000000E+00  1.2702622E-02
  0.0000000E+00  6.7055008E-03  1.6870939E-01  2.5405445E-01  3.6839187E-01  3.9547801E-01  5.7676075E+00  4.9250772E-01  5.5447050E-01  2.5083168E-01  1.6870939E-01  6.7055008E-03  0.0000000E+00  1.3761843E-02
  0.0000000E+00  2.8121615E-02  1.8763238E-01  2.7206829E-01  3.8579716E-01  4.1259672E-01  6.0972799E+00  5.1237464E-01  5.7529198E-01  2.6890678E-01  1.8763238E-01  2.8121615E-02  0.0000000E+00  1.4824438E-02
  0.0000000E+00  4.8422871E-02  2.0559230E-01  2.8916987E-01  4.0230947E-01  4.2885342E-01  6.3993605E+00  5.3120038E-01  5.9505562E-01  2.8606800E-01  2.0559230E-01  4.8422871E-02  0.0000000E+00  1.5890787E-02
  0.0000000E+00  6.7685954E-02  2.2264982E-01  3.0541474E-01  4.1798310E-01  4.4429801E-01  6.6762370E+00  5.4905379E-01  6.1382929E-01  3.0237093E-01  2.2264982E-01  6.7685954E-02  0.0000000E+00  1.6960918E-02
  0.0000000E+00  8.5981522E-02  2.3886175E-01  3.2085530E-01  4.3286932E-01  4.5897811E-01  6.9300938E+00  5.6599872E-01  6.3167628E-01  3.1786799E-01  2.3886175E-01  8.5981522E-02  0.0000000E+00  1.8034862E-02
  0.0000000E+00  1.0337519E-01  2.5428205E-01  3.3554170E-01  4.4701726E-01  4.7293988E-01  7.1629469E+00  5.8209532E-01  6.4865648E-01  3.3260944E-01  2.5428205E-01  1.0337519E-01  0.0000000E+00  1.9112647E-02
  0.0000000E+00  1.1992700E-01  2.6896053E-01  3.4952044E-01  4.6047253E-01  4.8622638E-01  7.3766179E+00  5.9739875E-01  6.6482502E-01  3.4664178E-01  2.6896053E-01  1.1992700E-01  0.0000000E+00  2.0194303E-02
  0.0000000E+00  1.3569221E-01  2.8294352E-01  3.6283490E-01  4.7327761E-01  4.9887799E-01  7.5727581E+00  6.1195995E-01  6.8023298E-01  3.6000847E-01  2.8294352E-01  1.3569221E-01  0.0000000E+00  2.1279860E-02
  0.0000000E+00  1.5072203E-01  2.9627451E-01  3.7552608E-01  4.8547274E-01  5.1093312E-01  7.7528823E+00  6.2582661E-01  6.9492830E-01  3.7275057E-01  2.9627451E-01  1.5072203E-01  0.0000000E+00  2.2369349E-02
  0.0000000E+00  1.6506317E-01  3.0899330E-01  3.8763150E-01  4.9709473E-01  5.2242706E-01  7.9183449E+00  6.3904212E-01  7.0895471E-01  3.8490565E-01  3.0899330E-01  1.6506317E-01  0.0000000E+00  2.3462797E-02
  0.0000000E+00  1.7875861E-01  3.2113680E-01  3.9918612E-01  5.0817790E-01  5.3339281E-01  8.0703717E+00  6.5164681E-01  7.2235293E-01  3.9650870E-01  3.2113680E-01  1.7875861E-01  0.0000000E+00  2.4560244E-02
  0.0000000E+00  1.9184839E-01  3.3273971E-01  4.1022279E-01  5.1875449E-01  5.4386146E-01  8.2100899E+00  6.6367813E-01  7.3516086E-01  4.0759266E-01  3.3273971E-01  1.9184839E-01  0.0000000E+00  2.5661716E-02
  0.0000000E+00  2.0436901E-01  3.4383364E-01  4.2077157E-01  5.2885400E-01  5.5386152E-01  8.3385041E+00  6.7517031E-01  7.4741315E-01  4.1818758E-01  3.4383364E-01  2.0436901E-01  0.0000000E+00  2.6767246E-02
  0.0000000E+00  2.1635411E-01  3.5444795E-01  4.3086036E-01  5.3850378E-01  5.6341949E-01  8.4565243E+00  6.8615497E-01  7.5914190E-01  4.2832145E-01  3.5444795E-01  2.1635411E-01  0.0000000E+00  2.7876866E-02
  0.0000000E+00  2.2783525E-01  3.6461032E-01  4.4051555E-01  5.4772973E-01  5.7256051E-01  8.5649928E+00  6.9666187E-01  7.7037734E-01  4.3802070E-01  3.6461032E-01  2.2783525E-01  0.0000000E+00  2.8990609E-02
  0.0000000E+00  2.3884119E-01  3.7434601E-01  4.4976122E-01  5.5655553E-01  5.8130759E-01  8.6646592E+00  7.0671818E-01  7.8114709E-01  4.4730942E-01  3.7434601E-01  2.3884119E-01  0.0000000E+00  3.0108508E-02
  0.0000000E+00  2.4939872E-01  3.8367864E-01  4.5862003E-01  5.6500347E-01  5.8968249E-01  8.7562104E+00  7.1634945E-01  7.9147722E-01  4.5621034E-01  3.8367864E-01  2.4939872E-01  0.0000000E+00  3.1230604E-02
  0.0000000E+00  2.5953262E-01  3.9263011E-01  4.6711271E-01  5.7309374E-01  5.9770480E-01  8.8402699E+00  7.2557860E-01  8.0139103E-01  4.6474421E-01  3.9263011E-01  2.5953262E-01  0.0000000E+00  3.2356916E-02
  0.0000000E+00  2.6926582E-01  4.0122071E-01  4.7525878E-01  5.8084553E-01  6.0539328E-01  8.9174010E+00  7.3442758E-01  8.1091092E-01  4.7293059E-01  4.0122071E-01  2.6926582E-01  0.0000000E+00  3.3487488E-02
  2.0945093E-17  2.7862005E-01  4.0946981E-01  4.8307681E-01  5.8827712E-01  6.1276582E-01  8.9881360E+00  7.4291705E-01  8.2005804E-01  4.8078808E-01  4.0946981E-01  2.7862005E-01  2.0945093E-17  3.4622353E-02
  4.2658375E-03  2.8761909E-01  4.1740200E-01  4.9060896E-01  5.9538266E-01  6.1986490E-01  9.0446509E+00  7.5108857E-01  8.2882374E-01  4.8835877E-01  4.1740200E-01  2.8761909E-01  4.2658375E-03  3.5759852E-02
  1.5683233E-02  2.9628261E-01  4.2503506E-01  4.9784081E-01  6.0224485E-01  6.2667536E-01  9.0819635E+00  7.5892881E-01  8.3729234E-01  4.9562825E-01  4.2503506E-01  2.9628261E-01  1.5683233E-02  3.6899090E-02
  2.6690192E-02  3.0461975E-01  4.3237039E-01  5.0478526E-01  6.0882561E-01  6.3320752E-01  9.1152252E+00  7.6645723E-01  8.4543863E-01  5.0260968E-01  4.3237039E-01  3.0461975E-01  2.6690192E-02  3.8043547E-02
  3.7306867E-02  3.1264615E-01  4.3942220E-01  5.1145610E-01  6.1513852E-01  6.3947470E-01  9.1447139E+00  7.7368883E-01  8.5327791E-01  5.0931685E-01  4.3942220E-01  3.1264615E-01  3.7306867E-02  3.9193274E-02
  4.7552259E-02  3.2037699E-01  4.4620440E-01  5.1786678E-01  6.2119685E-01  6.4548997E-01  9.1707060E+00  7.8063822E-01  8.6082500E-01  5.1576324E-01  4.4620440E-01  3.2037699E-01  4.7552259E-02  4.0348324E-02
  5.7444007E-02  3.2782604E-01  4.5272952E-01  5.2402940E-01  6.2701253E-01  6.5126506E-01  9.1934381E+00  7.8731861E-01  8.6809339E-01  5.2196096E-01  4.5272952E-01  3.2782604E-01  5.7444007E-02  4.1508750E-02
  6.6998741E-02  3.3500642E-01  4.5900954E-01  5.2995557E-01  6.3259700E-01  6.5681124E-01  9.2131352E+00  7.9374261E-01  8.7509593E-01  5.2792166E-01  4.5900954E-01  3.3500642E-01  6.6998741E-02  4.2674609E-02
  7.6232018E-02  3.4193041E-01  4.6505569E-01  5.3565618E-01  6.3796100E-01  6.6213907E-01  9.2300053E+00  7.9992207E-01  8.8184468E-01  5.3365622E-01  4.6505569E-01  3.4193041E-01  7.6232018E-02  4.3845954E-02
  8.5158515E-02  3.4860964E-01  4.7087859E-01  5.4114147E-01  6.4311460E-01  6.6725848E-01  9.2442409E+00  8.0586810E-01  8.8835099E-01  5.3917491E-01  4.7087859E-01  3.4860964E-01  8.5158515E-02  4.5022841E-02
  9.3791882E-02  3.5505486E-01  4.7648806E-01  5.4642098E-01  6.4806722E-01  6.7217874E-01  9.2560138E+00  8.1159108E-01  8.9462547E-01  5.4448728E-01  4.7648806E-01  3.5505486E-01  9.3791882E-02  4.6205329E-02
  1.0214529E-01  3.6127670E-01  4.8189386E-01  5.5150416E-01  6.5282816E-01  6.7690904E-01  9.2655024E+00  8.1710125E-01  9.0067857E-01  5.4960280E-01  4.8189386E-01  3.6127670E-01  1.0214529E-01  4.7393475E-02
  1.1023086E-01  3.6728471E-01  4.8710472E-01  5.5639947E-01  6.5740576E-01  6.8145758E-01  9.2728541E+00  8.2240779E-01  9.0651968E-01  5.5452993E-01  4.8710472E-01  3.6728471E-01  1.1023086E-01  4.8587338E-02
  1.1806011E-01  3.7308810E-01  4.9212908E-01  5.6111506E-01  6.6180803E-01  6.8583228E-01  9.2782114E+00  8.2751953E-01  9.1215785E-01  5.5927685E-01  4.9212908E-01  3.7308810E-01  1.1806011E-01  4.9786978E-02
  1.2564395E-01  3.7869554E-01  4.9697487E-01  5.6565861E-01  6.6604256E-01  6.9004062E-01  9.2817070E+00  8.3244485E-01  9.1760164E-01  5.6385126E-01  4.9697487E-01  3.7869554E-01  1.2564395E-01  5.0992456E-02
  1.3299264E-01  3.8411523E-01  5.0164963E-01  5.7003746E-01  6.7011653E-01  6.9408970E-01  9.2834643E+00  8.3719163E-01  9.2285913E-01  5.6826048E-01  5.0164963E-01  3.8411523E-01  1.3299264E-01  5.2203833E-02
  1.4011589E-01  3.8935496E-01  5.0616046E-01  5.7425847E-01  6.7403671E-01  6.9798621E-01  9.2835976E+00  8.4176735E-01  9.2793798E-01  5.7251142E-01  5.0616046E-01  3.8935496E-01  1.4011589E-01  5.3421173E-02
  1.4702279E-01  3.9442190E-01  5.1051396E-01  5.7832803E-01  6.7780939E-01  7.0173633E-01  9.2822076E+00  8.4617893E-01  9.3284532E-01  5.7661046E-01  5.1051396E-01  3.9442190E-01  1.4702279E-01  5.4644539E-02
  1.5372227E-01  3.9932337E-01  5.1471685E-01  5.8225263E-01  6.8144098E-01  7.0534641E-01  9.2794064E+00  8.5043341E-01  9.3758834E-01  5.8056411E-01  5.1471685E-01  3.9932337E-01  1.5372227E-01  5.5873997E-02
  1.6022246E-01  4.0406583E-01  5.1877505E-01  5.8603806E-01  6.8493711E-01  7.0882204E-01  9.2752807E+00  8.5453701E-01  9.4217344E-01  5.8437815E-01  5.1877505E-01  4.0406583E-01  1.6022246E-01  5.7109612E-02
  1.6653122E-01  4.0865555E-01  5.2269430E-01  5.8968985E-01  6.8830328E-01  7.1216862E-01  9.2699173E+00  8.5849574E-01  9.4660681E-01  5.8805815E-01  5.2269430E-01  4.0865555E-01  1.6653122E-01  5.8351451E-02
  1.7265594E-01  4.1309850E-01  5.2648009E-01  5.9321333E-01  6.9154470E-01  7.1539131E-01  9.2633968E+00  8.6231539E-01  9.5089438E-01  5.9160943E-01  5.2648009E-01  4.1309850E-01  1.7265594E-01  5.9599581E-02
  1.7860369E-01  4.1740035E-01  5.3013762E-01  5.9661351E-01  6.9466630E-01  7.1849500E-01  9.2557950E+00  8.6600138E-01  9.5504174E-01  5.9503703E-01  5.3013762E-01  4.1740035E-01  1.7860369E-01  6.0854077E-02
  1.8438118E-01  4.2156649E-01  5.3367185E-01  5.9989523E-01  6.9767283E-01  7.2148437E-01  9.2471822E+00  8.6955891E-01  9.5905424E-01  5.9834578E-01  5.3367185E-01  4.2156649E-01  1.8438118E-01  6.2115002E-02
  0.0000000E+00  5.2000000E-09  3.0600986E-17  8.5660038E-02  2.0502333E-01  2.2598207E-01  2.1205321E+00  3.2691973E-01  3.7632831E-01  8.1923685E-02  3.0600986E-17  3.4000000E-09  0.0000000E+00  6.6207715E-03
  0.0000000E+00  5.3000000E-09  2.4920687E-02  1.0884740E-01  2.2613716E-01  2.4838781E-01  2.6977779E+00  3.5346864E-01  4.0658605E-01  1.0517843E-01  2.4920687E-02  3.4000000E-09  0.0000000E+00  7.5522526E-03
  0.0000000E+00  4.8000000E-09  4.8019348E-02  1.3040600E-01  2.4659189E-01  2.6870016E-01  3.2164660E+00  3.7848653E-01  4.3371499E-01  1.2686311E-01  4.8019348E-02  5.0000000E-09  0.0000000E+00  8.4841575E-03
  0.0000000E+00  5.6000000E-09  6.9443820E-02  1.5044269E-01  2.6559443E-01  2.8759925E-01  3.6784953E+00  4.0158186E-01  4.5881368E-01  1.4701875E-01  6.9443820E-02  5.0000000E-09  0.0000000E+00  9.4191181E-03
  0.0000000E+00  5.2000000E-09  8.9341041E-02  1.6907781E-01  2.8325461E-01  3.0518507E-01  4.0896985E+00  4.2293843E-01  4.8207217E-01  1.6576638E-01  8.9341041E-02  4.3000000E-09  0.0000000E+00  1.0357156E-02
  0.0000000E+00  4.7000000E-09  1.0785158E-01  1.8643176E-01  2.9968523E-01  3.2156342E-01  4.4558278E+00  4.4272850E-01  5.0366972E-01  1.8322695E-01  1.0785158E-01  3.8000000E-09  0.0000000E+00  1.1298294E-02
  0.0000000E+00  3.9000000E-09  1.2510211E-01  2.0261549E-01  3.1499134E-01  3.3683427E-01  4.7821426E+00  4.6110519E-01  5.2376649E-01  1.9951197E-01  1.2510211E-01  4.6000000E-09  0.0000000E+00  1.2242553E-02
  0.0000000E+00  5.4369231E-03  1.4115800E-01  2.1768919E-01  3.2923424E-01  3.5105492E-01  5.0614650E+00  4.7814512E-01  5.4243269E-01  2.1468131E-01  1.4115800E-01  5.4369231E-03  0.0000000E+00  1.3189840E-02
  0.0000000E+00  2.2686282E-02  1.5608576E-01  2.3171301E-01  3.4247326E-01  3.6428137E-01  5.2855469E+00  4.9392623E-01  5.5974406E-01  2.2879508E-01  1.5608576E-01  2.2686282E-02  0.0000000E+00  1.4140112E-02
  0.0000000E+00  3.8878124E-02  1.7010078E-01  2.4487572E-01  3.5487884E-01  3.7668234E-01  5.4865169E+00  5.0870513E-01  5.7599616E-01  2.4204434E-01  1.7010078E-01  3.8878124E-02  0.0000000E+00  1.5093731E-02
  0.0000000E+00  5.4100202E-02  1.8327509E-01  2.5724407E-01  3.6651583E-01  3.8832114E-01  5.6667975E+00  5.2256397E-01  5.9127445E-01  2.5449603E-01  1.8327509E-01  5.4100202E-02  0.0000000E+00  1.6050720E-02
  0.0000000E+00  6.8431652E-02  1.9567492E-01  2.6887976E-01  3.7744417E-01  3.9925649E-01  5.8285604E+00  5.3557763E-01  6.0565686E-01  2.6621203E-01  1.9567492E-01  6.8431652E-02  0.0000000E+00  1.7011108E-02
  0.0000000E+00  8.1943296E-02  2.0735967E-01  2.7983826E-01  3.8771780E-01  4.0954135E-01  5.9737171E+00  5.4781303E-01  6.1921323E-01  2.7724802E-01  2.0735967E-01  8.1943296E-02  0.0000000E+00  1.7974918E-02
  0.0000000E+00  9.4698763E-02  2.1838313E-01  2.9016994E-01  3.9738569E-01  4.1922390E-01  6.1039590E+00  5.5933038E-01  6.3200645E-01  2.8765452E-01  2.1838313E-01  9.4698763E-02  0.0000000E+00  1.8942179E-02
  0.0000000E+00  1.0675592E-01  2.2879477E-01  2.9992130E-01  4.0649305E-01  4.2834869E-01  6.2208047E+00  5.7018478E-01  6.4409414E-01  2.9747819E-01  2.2879477E-01  1.0675592E-01  0.0000000E+00  1.9912917E-02
  0.0000000E+00  1.1816645E-01  2.3863870E-01  3.0913386E-01  4.1508024E-01  4.3695555E-01  6.3255781E+00  5.8042528E-01  6.5552767E-01  3.0676071E-01  2.3863870E-01  1.1816645E-01  0.0000000E+00  2.0887156E-02
  0.0000000E+00  1.2897767E-01  2.4795574E-01  3.1784613E-01  4.2318470E-01  4.4508145E-01  6.4194769E+00  5.9009694E-01  6.6635430E-01  3.1554069E-01  2.4795574E-01  1.2897767E-01  0.0000000E+00  2.1864926E-02
  0.0000000E+00  1.3923211E-01  2.5678256E-01  3.2609277E-01  4.3084017E-01  4.5275980E-01  6.5035508E+00  5.9924050E-01  6.7661677E-01  3.2385292E-01  2.5678256E-01  1.3923211E-01  0.0000000E+00  2.2846257E-02
  0.0000000E+00  1.4896853E-01  2.6515281E-01  3.3390556E-01  4.3807751E-01  4.6002113E-01  6.5787390E+00  6.0789277E-01  6.8635378E-01  3.3172931E-01  2.6515281E-01  1.4896853E-01  0.0000000E+00  2.3831175E-02
  0.0000000E+00  1.5822204E-01  2.7309693E-01  3.4131335E-01  4.4492475E-01  4.6689322E-01  6.6458719E+00  6.1608725E-01  6.9560056E-01  3.3919882E-01  2.7309693E-01  1.5822204E-01  0.0000000E+00  2.4819709E-02
  0.0000000E+00  1.6702520E-01  2.8064343E-01  3.4834317E-01  4.5140813E-01  4.7340212E-01  6.7057117E+00  6.2385507E-01  7.0438985E-01  3.4628855E-01  2.8064343E-01  1.6702520E-01  0.0000000E+00  2.5811886E-02
  0.0000000E+00  1.7540726E-01  2.8781781E-01  3.5501923E-01  4.5755118E-01  4.7957115E-01  6.7589220E+00  6.3122414E-01  7.1275110E-01  3.5302281E-01  2.8781781E-01  1.7540726E-01  0.0000000E+00  2.6807737E-02
  0.0000000E+00  1.8339521E-01  2.9464375E-01  3.6136399E-01  4.6337572E-01  4.8542198E-01  6.8061029E+00  6.3822027E-01  7.2071149E-01  3.5942415E-01  2.9464375E-01  1.8339521E-01  0.0000000E+00  2.7807290E-02
  0.0000000E+00  1.9101353E-01  3.0114269E-01  3.6739790E-01  4.6890168E-01  4.9097447E-01  6.8477870E+00  6.4486709E-01  7.2829602E-01  3.6551311E-01  3.0114269E-01  1.9101353E-01  0.0000000E+00  2.8810583E-02
  0.0000000E+00  1.9828533E-01  3.0733503E-01  3.7314023E-01  4.7414756E-01  4.9624693E-01  6.8844717E+00  6.5118619E-01  7.3552744E-01  3.7130900E-01  3.0733503E-01  1.9828533E-01  0.0000000E+00  2.9817631E-02
  0.0000000E+00  2.0523136E-01  3.1323900E-01  3.7860838E-01  4.7913035E-01  5.0125630E-01  6.9165880E+00  6.5719764E-01  7.4242699E-01  3.7682933E-01  3.1323900E-01  2.0523136E-01  0.0000000E+00  3.0828473E-02
  1.5337516E-17  2.1187090E-01  3.1887162E-01  3.8381858E-01  4.8386578E-01  5.0601824E-01  6.9445301E+00  6.6291989E-01  7.4901420E-01  3.8209035E-01  3.1887162E-01  2.1187090E-01  1.5337516E-17  3.1843139E-02
  3.1237556E-03  2.1822559E-01  3.2425520E-01  3.8880895E-01  4.8834900E-01  5.1057138E-01  6.9624327E+00  6.6839094E-01  7.5528168E-01  3.8713012E-01  3.2425520E-01  2.1822559E-01  3.1237556E-03  3.2860101E-02
  1.1462587E-02  2.2431341E-01  3.2940594E-01  3.9356659E-01  4.9265438E-01  5.1490232E-01  6.9665912E+00  6.7359918E-01  7.6130606E-01  3.9193577E-01  3.2940594E-01  2.2431341E-01  1.1462587E-02  3.3878521E-02
  1.9471314E-02  2.3014120E-01  3.3432354E-01  3.9810138E-01  4.9674501E-01  5.1901836E-01  6.9683564E+00  6.7856029E-01  7.6706515E-01  3.9651754E-01  3.3432354E-01  2.3014120E-01  1.9471314E-02  3.4901588E-02
  2.7167496E-02  2.3572286E-01  3.3902054E-01  4.0242537E-01  5.0063272E-01  5.2293125E-01  6.9679310E+00  6.8328770E-01  7.7257303E-01  4.0088751E-01  3.3902054E-01  2.3572286E-01  2.7167496E-02  3.5929350E-02
  3.4567497E-02  2.4107133E-01  3.4350863E-01  4.0654985E-01  5.0432847E-01  5.2665195E-01  6.9655003E+00  6.8779392E-01  7.7784282E-01  4.0505699E-01  3.4350863E-01  2.4107133E-01  3.4567497E-02  3.6961854E-02
  4.1686555E-02  2.4619868E-01  3.4779874E-01  4.1048527E-01  5.0784246E-01  5.3019061E-01  6.9612335E+00  6.9209050E-01  7.8288665E-01  4.0903648E-01  3.4779874E-01  2.4619868E-01  4.1686555E-02  3.7999146E-02
  4.8538805E-02  2.5111602E-01  3.5190088E-01  4.1424130E-01  5.1118417E-01  5.3355670E-01  6.9552786E+00  6.9618835E-01  7.8771599E-01  4.1283567E-01  3.5190088E-01  2.5111602E-01  4.8538805E-02  3.9041276E-02
  5.5137712E-02  2.5583423E-01  3.5582494E-01  4.1782747E-01  5.1436288E-01  5.3675946E-01  6.9477905E+00  7.0009792E-01  7.9234181E-01  4.1646413E-01  3.5582494E-01  2.5583423E-01  5.5137712E-02  4.0088291E-02
  6.1495639E-02  2.6036304E-01  3.5957971E-01  4.2125217E-01  5.1738677E-01  5.3980707E-01  6.9388929E+00  7.0382857E-01  7.9677397E-01  4.1993029E-01  3.5957971E-01  2.6036304E-01  6.1495639E-02  4.1140243E-02
  6.7624243E-02  2.6471172E-01  3.6317355E-01  4.2452351E-01  5.2026371E-01  5.4270739E-01  6.9287047E+00  7.0738925E-01  8.0102191E-01  4.2324227E-01  3.6317355E-01  2.6471172E-01  6.7624243E-02  4.2197181E-02
  7.3534465E-02  2.6888895E-01  3.6661434E-01  4.2764904E-01  5.2300107E-01  5.4546775E-01  6.9173354E+00  7.1078833E-01  8.0509444E-01  4.2640763E-01  3.6661434E-01  2.6888895E-01  7.3534465E-02  4.3259158E-02
  7.9236533E-02  2.7290288E-01  3.6990942E-01  4.3063582E-01  5.2560574E-01  5.4809506E-01  6.9048855E+00  7.1403369E-01  8.0899990E-01  4.2943351E-01  3.6990942E-01  2.7290288E-01  7.9236533E-02  4.4326225E-02
  8.4740096E-02  2.7676119E-01  3.7306576E-01  4.3349056E-01  5.2808422E-01  5.5059579E-01  6.8914470E+00  7.1713270E-01  8.1274607E-01  4.3232659E-01  3.7306576E-01  2.7676119E-01  8.4740096E-02  4.5398434E-02
  9.0054065E-02  2.8047090E-01  3.7608969E-01  4.3621932E-01  5.3044242E-01  5.5297585E-01  6.8770979E+00  7.2009214E-01  8.1634010E-01  4.3509299E-01  3.7608969E-01  2.8047090E-01  9.0054065E-02  4.6475842E-02
  9.5187217E-02  2.8403916E-01  3.7898771E-01  4.3882838E-01  5.3268645E-01  5.5524135E-01  6.8619302E+00  7.2291891E-01  8.1978931E-01  4.3773900E-01  3.7898771E-01  2.8403916E-01  9.5187217E-02  4.7558502E-02
  1.0014749E-01  2.8747221E-01  3.8176544E-01  4.4132314E-01  5.3482154E-01  5.5739753E-01  6.8460089E+00  7.2561900E-01  8.2310004E-01  4.4027003E-01  3.8176544E-01  2.8747221E-01  1.0014749E-01  4.8646470E-02
  1.0494239E-01  2.9077604E-01  3.8442831E-01  4.4370882E-01  5.3685276E-01  5.5944943E-01  6.8294007E+00  7.2819820E-01  8.2627843E-01  4.4269133E-01  3.8442831E-01  2.9077604E-01  1.0494239E-01  4.9739800E-02
  1.0957912E-01  2.9395638E-01  3.8698150E-01  4.4599038E-01  5.3878494E-01  5.6140189E-01  6.8121667E+00  7.3066199E-01  8.2933031E-01  4.4500788E-01  3.8698150E-01  2.9395638E-01  1.0957912E-01  5.0838554E-02
  1.1406443E-01  2.9701863E-01  3.8942987E-01  4.4817252E-01  5.4062263E-01  5.6325947E-01  6.7943632E+00  7.3301559E-01  8.3226120E-01  4.4722440E-01  3.8942987E-01  2.9701863E-01  1.1406443E-01  5.1942788E-02
  1.1840464E-01  2.9996782E-01  3.9177798E-01  4.5025960E-01  5.4237008E-01  5.6502639E-01  6.7760424E+00  7.3526381E-01  8.3507623E-01  4.4934526E-01  3.9177798E-01  2.9996782E-01  1.1840464E-01  5.3052563E-02
  1.2260584E-01  3.0280879E-01  3.9403020E-01  4.5225585E-01  5.4403135E-01  5.6670674E-01  6.7572525E+00  7.3741133E-01  8.3778038E-01  4.5137471E-01  3.9403020E-01  3.0280879E-01  1.2260584E-01  5.4167935E-02
  1.2667355E-01  3.0554592E-01  3.9619049E-01  4.5416501E-01  5.4561010E-01  5.6830418E-01  6.7380305E+00  7.3946232E-01  8.4037810E-01  4.5331652E-01  3.9619049E-01  3.0554592E-01  1.2667355E-01  5.5288970E-02
  1.3061349E-01  3.0818385E-01  3.9826304E-01  4.5599119E-01  5.4711029E-01  5.6982266E-01  6.7184318E+00  7.4142127E-01  8.4287417E-01  4.5517479E-01  3.9826304E-01  3.0818385E-01  1.3061349E-01  5.6415729E-02
  0.0000000E+00  4.3000000E-09  2.6179974E-17  7.6355758E-02  1.9373127E-01  2.1162770E-01  2.2482123E+00  3.4386174E-01  3.9655747E-01  7.2780280E-02  2.6179974E-17  3.4000000E-09  0.0000000E+00  6.9477892E-03
  0.0000000E+00  4.3000000E-09  2.1318257E-02  9.6013975E-02  2.1162625E-01  2.3028169E-01  2.7007651E+00  3.6733064E-01  4.2358394E-01  9.2555451E-02  2.1318257E-02  3.4000000E-09  0.0000000E+00  7.7824474E-03
  0.0000000E+00  4.5000000E-09  4.0643543E-02  1.1385247E-01  2.2790095E-01  2.4683183E-01  3.0898233E+00  3.8831660E-01  4.4783541E-01  1.1058709E-01  4.0643543E-02  4.3000000E-09  0.0000000E+00  8.6045472E-03
  0.0000000E+00  5.1000000E-09  5.8223365E-02  1.3009292E-01  2.4269153E-01  2.6188192E-01  3.4256985E+00  4.0728684E-01  4.6983024E-01  1.2700574E-01  5.8223365E-02  4.5000000E-09  0.0000000E+00  9.4293313E-03
  0.0000000E+00  4.7000000E-09  7.4269103E-02  1.4492093E-01  2.5616679E-01  2.7560083E-01  3.7158914E+00  4.2449695E-01  4.8985210E-01  1.4199897E-01  7.4269103E-02  3.7000000E-09  0.0000000E+00  1.0256819E-02
  0.0000000E+00  4.9000000E-09  8.8962652E-02  1.5849877E-01  2.6847616E-01  2.8813866E-01  3.9669923E+00  4.4016579E-01  5.0814412E-01  1.5573065E-01  8.8962652E-02  4.3000000E-09  0.0000000E+00  1.1087029E-02
  0.0000000E+00  4.3000000E-09  1.0245977E-01  1.7096702E-01  2.7975004E-01  2.9962670E-01  4.1846319E+00  4.5447942E-01  5.2491329E-01  1.6834269E-01  1.0245977E-01  5.1000000E-09  0.0000000E+00  1.1919980E-02
  0.0000000E+00  4.2887150E-03  1.1485930E-01  1.8241946E-01  2.9008205E-01  3.1015770E-01  4.3642316E+00  4.6755284E-01  5.4027361E-01  1.7992896E-01  1.1485930E-01  4.2887150E-03  0.0000000E+00  1.2755580E-02
  0.0000000E+00  1.7800436E-02  1.2625159E-01  1.9294031E-01  2.9955390E-01  3.1981310E-01  4.5001846E+00  4.7949137E-01  5.5433426E-01  1.9057399E-01  1.2625159E-01  1.7800436E-02  0.0000000E+00  1.3593776E-02
  0.0000000E+00  3.0352960E-02  1.3682082E-01  2.0268797E-01  3.0829729E-01  3.2873029E-01  4.6182642E+00  4.9051637E-01  5.6737745E-01  2.0043969E-01  1.3682082E-01  3.0352960E-02  0.0000000E+00  1.4434911E-02
  0.0000000E+00  4.2038556E-02  1.4664461E-01  2.1173491E-01  3.1638110E-01  3.3697873E-01  4.7206989E+00  5.0071667E-01  5.7950032E-01  2.0959903E-01  1.4664461E-01  4.2038556E-02  0.0000000E+00  1.5279006E-02
  0.0000000E+00  5.2937868E-02  1.5579082E-01  2.2014462E-01  3.2386567E-01  3.4461930E-01  4.8093974E+00  5.1016977E-01  5.9078771E-01  2.1811596E-01  1.5579082E-01  5.2937868E-02  0.0000000E+00  1.6126086E-02
  0.0000000E+00  6.3122480E-02  1.6432047E-01  2.2797432E-01  3.3080540E-01  3.5170697E-01  4.8860314E+00  5.1894481E-01  6.0131541E-01  2.2604808E-01  1.6432047E-01  6.3122480E-02  0.0000000E+00  1.6976173E-02
  0.0000000E+00  7.2655295E-02  1.7228705E-01  2.3527420E-01  3.3724797E-01  3.5828992E-01  4.9520342E+00  5.2710233E-01  6.1114984E-01  2.3344597E-01  1.7228705E-01  7.2655295E-02  0.0000000E+00  1.7829289E-02
  0.0000000E+00  8.1592045E-02  1.7973820E-01  2.4208903E-01  3.4323589E-01  3.6441114E-01  5.0086470E+00  5.3469598E-01  6.2035000E-01  2.4035471E-01  1.7973820E-01  8.1592045E-02  0.0000000E+00  1.8685460E-02
  0.0000000E+00  8.9982889E-02  1.8671708E-01  2.4845945E-01  3.4880778E-01  3.7010969E-01  5.0569692E+00  5.4177417E-01  6.2896911E-01  2.4681522E-01  1.8671708E-01  8.9982889E-02  0.0000000E+00  1.9544705E-02
  0.0000000E+00  9.7872128E-02  1.9326173E-01  2.5442131E-01  3.5399759E-01  3.7541994E-01  5.0979420E+00  5.4837943E-01  6.3705408E-01  2.5286360E-01  1.9326173E-01  9.7872128E-02  0.0000000E+00  2.0407049E-02
  0.0000000E+00  1.0529939E-01  1.9940625E-01  2.6000674E-01  3.5883587E-01  3.8037283E-01  5.1323856E+00  5.5455007E-01  6.4464715E-01  2.5853224E-01  1.9940625E-01  1.0529939E-01  0.0000000E+00  2.1272523E-02
  0.0000000E+00  1.1230080E-01  2.0518197E-01  2.6524527E-01  3.6335062E-01  3.8499672E-01  5.1610386E+00  5.6032074E-01  6.5178658E-01  2.6385087E-01  2.0518197E-01  1.1230080E-01  0.0000000E+00  2.2141145E-02
  0.0000000E+00  1.1890842E-01  2.1061656E-01  2.7016306E-01  3.6756658E-01  3.8931666E-01  5.1845315E+00  5.6572224E-01  6.5850644E-01  2.6884585E-01  2.1061656E-01  1.1890842E-01  0.0000000E+00  2.3012942E-02
  0.0000000E+00  1.2515113E-01  2.1573504E-01  2.7478369E-01  3.7150608E-01  3.9335532E-01  5.2034176E+00  5.7078229E-01  6.6483743E-01  2.7354093E-01  2.1573504E-01  1.2515113E-01  0.0000000E+00  2.3887939E-02
  0.0000000E+00  1.3105562E-01  2.2056062E-01  2.7912911E-01  3.7518990E-01  3.9713373E-01  5.2182037E+00  5.7552649E-01  6.7080791E-01  2.7795823E-01  2.2056062E-01  1.3105562E-01  0.0000000E+00  2.4766160E-02
  0.0000000E+00  1.3664565E-01  2.2511390E-01  2.8321875E-01  3.7863644E-01  4.0067059E-01  5.2293206E+00  5.7997761E-01  6.7644317E-01  2.8211735E-01  2.2511390E-01  1.3664565E-01  0.0000000E+00  2.5647633E-02
  0.0000000E+00  1.4194291E-01  2.2941377E-01  2.8707056E-01  3.8186273E-01  4.0398315E-01  5.2371556E+00  5.8415669E-01  6.8176660E-01  2.8603632E-01  2.2941377E-01  1.4194291E-01  0.0000000E+00  2.6532387E-02
  0.0000000E+00  1.4696723E-01  2.3347747E-01  2.9070069E-01  3.8488383E-01  4.0708669E-01  5.2420511E+00  5.8808219E-01  6.8679873E-01  2.8973146E-01  2.3347747E-01  1.4696723E-01  0.0000000E+00  2.7420440E-02
  0.0000000E+00  1.5173647E-01  2.3732053E-01  2.9412387E-01  3.8771373E-01  4.0999542E-01  5.2443053E+00  5.9177141E-01  6.9155888E-01  2.9321760E-01  2.3732053E-01  1.5173647E-01  0.0000000E+00  2.8311822E-02
  1.0891630E-17  1.5626758E-01  2.4095777E-01  2.9735415E-01  3.9036573E-01  4.1272284E-01  5.2442043E+00  5.9524060E-01  6.9606512E-01  2.9650892E-01  2.4095777E-01  1.5626758E-01  1.0891630E-17  2.9206561E-02
  2.2182726E-03  1.6057925E-01  2.4440839E-01  3.0042475E-01  3.9283506E-01  4.1530281E-01  5.2374403E+00  5.9852347E-01  7.0031085E-01  2.9963852E-01  2.4440839E-01  1.6057925E-01  2.2182726E-03  3.0103253E-02
  8.1235389E-03  1.6468639E-01  2.4768567E-01  3.0332311E-01  3.9518628E-01  4.1772229E-01  5.2212922E+00  6.0160876E-01  7.0436356E-01  3.0259395E-01  2.4768567E-01  1.6468639E-01  8.1235389E-03  3.1001109E-02
  1.3772261E-02  1.6859439E-01  2.5078850E-01  3.0605693E-01  3.9738446E-01  4.1998603E-01  5.2040478E+00  6.0450842E-01  7.0820411E-01  3.0538333E-01  2.5078850E-01  1.6859439E-01  1.3772261E-02  3.1903046E-02
  1.9179075E-02  1.7231468E-01  2.5372707E-01  3.0863595E-01  3.9943892E-01  4.2210346E-01  5.1858261E+00  6.0723352E-01  7.1184466E-01  3.0801647E-01  2.5372707E-01  1.7231468E-01  1.9179075E-02  3.2809104E-02
  2.4357660E-02  1.7585841E-01  2.5651138E-01  3.1106975E-01  4.0135878E-01  4.2408381E-01  5.1667555E+00  6.0979481E-01  7.1529701E-01  3.1050300E-01  2.5651138E-01  1.7585841E-01  2.4357660E-02  3.3719324E-02
  2.9320628E-02  1.7923542E-01  2.5915016E-01  3.1336663E-01  4.0315199E-01  4.2593513E-01  5.1469316E+00  6.1220176E-01  7.1857160E-01  3.1285128E-01  2.5915016E-01  1.7923542E-01  2.9320628E-02  3.4633748E-02
  3.4079705E-02  1.8245500E-01  2.6165172E-01  3.1553454E-01  4.0482605E-01  4.2766505E-01  5.1264468E+00  6.1446334E-01  7.2167831E-01  3.1506934E-01  2.6165172E-01  1.8245500E-01  3.4079705E-02  3.5552418E-02
  3.8645797E-02  1.8552577E-01  2.6402372E-01  3.1758079E-01  4.0638795E-01  4.2928065E-01  5.1053845E+00  6.1658784E-01  7.2462632E-01  3.1716450E-01  2.6402372E-01  1.8552577E-01  3.8645797E-02  3.6475376E-02
  4.3029105E-02  1.8845583E-01  2.6627337E-01  3.1951226E-01  4.0784423E-01  4.3078856E-01  5.0838199E+00  6.1858302E-01  7.2742418E-01  3.1914371E-01  2.6627337E-01  1.8845583E-01  4.3029105E-02  3.7402665E-02
  4.7238969E-02  1.9125246E-01  2.6840715E-01  3.2133513E-01  4.0920073E-01  4.3219469E-01  5.0618133E+00  6.2045589E-01  7.3007972E-01  3.2101320E-01  2.6840715E-01  1.9125246E-01  4.7238969E-02  3.8334332E-02
  5.1284456E-02  1.9392304E-01  2.7043164E-01  3.2305568E-01  4.1046345E-01  4.3350514E-01  5.0394403E+00  6.2221353E-01  7.3260071E-01  3.2277929E-01  2.7043164E-01  1.9392304E-01  5.1284456E-02  3.9270420E-02
  5.5173766E-02  1.9647395E-01  2.7235254E-01  3.2467933E-01  4.1163749E-01  4.3472509E-01  5.0167493E+00  6.2386206E-01  7.3499401E-01  3.2444742E-01  2.7235254E-01  1.9647395E-01  5.5173766E-02  4.0210975E-02
  5.8914618E-02  1.9891131E-01  2.7417525E-01  3.2621125E-01  4.1272773E-01  4.3585950E-01  4.9937903E+00  6.2540731E-01  7.3726609E-01  3.2602282E-01  2.7417525E-01  1.9891131E-01  5.8914618E-02  4.1156041E-02
  6.2514284E-02  2.0124086E-01  2.7590487E-01  3.2765627E-01  4.1373879E-01  4.3691303E-01  4.9706087E+00  6.2685477E-01  7.3942308E-01  3.2751036E-01  2.7590487E-01  2.0124086E-01  6.2514284E-02  4.2105670E-02
  6.5979574E-02  2.0346798E-01  2.7754619E-01  3.2901898E-01  4.1467498E-01  4.3789009E-01  4.9472453E+00  6.2820962E-01  7.4147076E-01  3.2891463E-01  2.7754619E-01  2.0346798E-01  6.5979574E-02  4.3059906E-02
  6.9316839E-02  2.0559768E-01  2.7910366E-01  3.3030360E-01  4.1554027E-01  4.3879469E-01  4.9237370E+00  6.2947660E-01  7.4341443E-01  3.3023992E-01  2.7910366E-01  2.0559768E-01  6.9316839E-02  4.4018799E-02
  7.2531988E-02  2.0763455E-01  2.8058133E-01  3.3151396E-01  4.1633829E-01  4.3963053E-01  4.9001100E+00  6.3066009E-01  7.4525903E-01  3.3149007E-01  2.8058133E-01  2.0763455E-01  7.2531988E-02  4.4982398E-02
  7.5630881E-02  2.0958336E-01  2.8198346E-01  3.3265414E-01  4.1707288E-01  4.4040152E-01  4.8764086E+00  6.3176464E-01  7.4700962E-01  3.3266921E-01  2.8198346E-01  2.0958336E-01  7.5630881E-02  4.5950752E-02
  7.8618720E-02  2.1144814E-01  2.8331359E-01  3.3372752E-01  4.1774722E-01  4.4111088E-01  4.8526537E+00  6.3279407E-01  7.4867050E-01  3.3378074E-01  2.8331359E-01  2.1144814E-01  7.8618720E-02  4.6923914E-02
  8.1500496E-02  2.1323283E-01  2.8457524E-01  3.3473741E-01  4.1836441E-01  4.4176176E-01  4.8288694E+00  6.3375214E-01  7.5024591E-01  3.3482796E-01  2.8457524E-01  2.1323283E-01  8.1500496E-02  4.7901936E-02
  8.4280942E-02  2.1494114E-01  2.8577166E-01  3.3568690E-01  4.1892739E-01  4.4235716E-01  4.8050786E+00  6.3464234E-01  7.5173980E-01  3.3581407E-01  2.8577166E-01  2.1494114E-01  8.4280942E-02  4.8884867E-02
  8.6964494E-02  2.1657656E-01  2.8690594E-01  3.3657897E-01  4.1943890E-01  4.4289986E-01  4.7813012E+00  6.3546801E-01  7.5315592E-01  3.3674198E-01  2.8690594E-01  2.1657656E-01  8.6964494E-02  4.9872766E-02
  8.9555349E-02  2.1814238E-01  2.8798101E-01  3.3741634E-01  4.1990156E-01  4.4339252E-01  4.7575555E+00  6.3623226E-01  7.5449780E-01  3.3761450E-01  2.8798101E-01  2.1814238E-01  8.9555349E-02  5.0865683E-02
  0.0000000E+00  3.9000000E-09  2.1616498E-17  6.7478116E-02  1.8049834E-01  1.9910187E-01  2.2963300E+00  3.6459341E-01  4.2762985E-01  6.4453902E-02  2.1616498E-17  3.7000000E-09  0.0000000E+00  7.3449218E-03
  0.0000000E+00  3.9000000E-09  1.7601028E-02  8.3566738E-02  1.9417283E-01  2.1339638E-01  2.6168560E+00  3.8371493E-01  4.5160156E-01  8.0852226E-02  1.7601028E-02  3.7000000E-09  0.0000000E+00  8.0511120E-03
  0.0000000E+00  4.9000000E-09  3.3195484E-02  9.7726893E-02  2.0629031E-01  2.2609446E-01  2.8848423E+00  4.0035553E-01  4.7259859E-01  9.5266720E-02  3.3195484E-02  4.9000000E-09  0.0000000E+00  8.7632465E-03
  0.0000000E+00  4.7000000E-09  4.7094735E-02  1.1033163E-01  2.1702216E-01  2.3733733E-01  3.1069582E+00  4.1503098E-01  4.9124809E-01  1.0810257E-01  4.7094735E-02  5.4000000E-09  0.0000000E+00  9.4776944E-03
  0.0000000E+00  4.5000000E-09  5.9548693E-02  1.2160686E-01  2.2656797E-01  2.4733571E-01  3.2912390E+00  4.2804088E-01  5.0790174E-01  1.1958913E-01  5.9548693E-02  4.1000000E-09  0.0000000E+00  1.0194472E-02
  0.0000000E+00  4.9000000E-09  7.0762746E-02  1.3173962E-01  2.3509453E-01  2.5626541E-01  3.4442987E+00  4.3963119E-01  5.2284877E-01  1.2991617E-01  7.0762746E-02  5.2000000E-09  0.0000000E+00  1.0913596E-02
  0.0000000E+00  4.7000000E-09  8.0903234E-02  1.4088201E-01  2.4273780E-01  2.6426967E-01  3.5714675E+00  4.5000079E-01  5.3632402E-01  1.3923803E-01  8.0903234E-02  5.4000000E-09  0.0000000E+00  1.1635082E-02
  0.0000000E+00  3.2635247E-03  9.0086349E-02  1.4914570E-01  2.4960677E-01  2.7146065E-01  3.6699860E+00  4.5928774E-01  5.4847160E-01  1.4766690E-01  9.0086349E-02  3.2635247E-03  0.0000000E+00  1.2358837E-02
  0.0000000E+00  1.3469873E-02  9.8414005E-02  1.5662702E-01  2.5579251E-01  2.7793283E-01  3.7361540E+00  4.6761265E-01  5.5942330E-01  1.5529991E-01  9.8414005E-02  1.3469873E-02  0.0000000E+00  1.3084798E-02
  0.0000000E+00  2.2848289E-02  1.0603902E-01  1.6345372E-01  2.6138742E-01  2.8378956E-01  3.7898472E+00  4.7515452E-01  5.6943964E-01  1.6226942E-01  1.0603902E-01  2.2848289E-02  0.0000000E+00  1.3813292E-02
  0.0000000E+00  3.1488018E-02  1.1303655E-01  1.6969611E-01  2.6645612E-01  2.8909813E-01  3.8328942E+00  4.8200026E-01  5.7862122E-01  1.6864659E-01  1.1303655E-01  3.1488018E-02  0.0000000E+00  1.4544337E-02
  0.0000000E+00  3.9466472E-02  1.1947255E-01  1.7541594E-01  2.7105545E-01  2.9391768E-01  3.8668526E+00  4.8822563E-01  5.8705579E-01  1.7449387E-01  1.1947255E-01  3.9466472E-02  0.0000000E+00  1.5277954E-02
  0.0000000E+00  4.6850477E-02  1.2540368E-01  1.8066626E-01  2.7523409E-01  2.9829892E-01  3.8930206E+00  4.9389555E-01  5.9481889E-01  1.7986496E-01  1.2540368E-01  4.6850477E-02  0.0000000E+00  1.6014162E-02
  0.0000000E+00  5.3698115E-02  1.3087932E-01  1.8549332E-01  2.7903442E-01  3.0228597E-01  3.9124929E+00  4.9906636E-01  6.0197621E-01  1.8480665E-01  1.3087932E-01  5.3698115E-02  0.0000000E+00  1.6752980E-02
  0.0000000E+00  6.0060805E-02  1.3594349E-01  1.8993840E-01  2.8249431E-01  3.0591819E-01  3.9262191E+00  5.0378800E-01  6.0858605E-01  1.8936073E-01  1.3594349E-01  6.0060805E-02  0.0000000E+00  1.7494429E-02
  0.0000000E+00  6.5983049E-02  1.4063401E-01  1.9403692E-01  2.8564613E-01  3.0922933E-01  3.9349831E+00  5.0810347E-01  6.1469887E-01  1.9356305E-01  1.4063401E-01  6.5983049E-02  0.0000000E+00  1.8238528E-02
  0.0000000E+00  7.1504751E-02  1.4498513E-01  1.9782096E-01  2.8851926E-01  3.1224991E-01  3.9394772E+00  5.1205126E-01  6.2035984E-01  1.9744611E-01  1.4498513E-01  7.1504751E-02  0.0000000E+00  1.8985297E-02
  0.0000000E+00  7.6660836E-02  1.4902665E-01  2.0131846E-01  2.9113915E-01  3.1500645E-01  3.9402790E+00  5.1566502E-01  6.2560859E-01  2.0103816E-01  1.4902665E-01  7.6660836E-02  0.0000000E+00  1.9734761E-02
  0.0000000E+00  8.1482447E-02  1.5278521E-01  2.0455437E-01  2.9352854E-01  3.1752260E-01  3.9378891E+00  5.1897456E-01  6.3048034E-01  2.0436449E-01  1.5278521E-01  8.1482447E-02  0.0000000E+00  2.0486938E-02
  0.0000000E+00  8.5997159E-02  1.5628437E-01  2.0755071E-01  2.9570748E-01  3.1981923E-01  3.9327311E+00  5.2200625E-01  6.3500635E-01  2.0744741E-01  1.5628437E-01  8.5997159E-02  0.0000000E+00  2.1241850E-02
  0.0000000E+00  9.0230227E-02  1.5954586E-01  2.1032787E-01  2.9769448E-01  3.2191559E-01  3.9251921E+00  5.2478423E-01  6.3921519E-01  2.1030757E-01  1.5954586E-01  9.0230227E-02  0.0000000E+00  2.1999519E-02
  0.0000000E+00  9.4203767E-02  1.6258855E-01  2.1290350E-01  2.9950558E-01  3.2382839E-01  3.9155880E+00  5.2732956E-01  6.4313196E-01  2.1296284E-01  1.6258855E-01  9.4203767E-02  0.0000000E+00  2.2759966E-02
  0.0000000E+00  9.7937823E-02  1.6542963E-01  2.1529367E-01  3.0115529E-01  3.2557273E-01  3.9041986E+00  5.2966126E-01  6.4677936E-01  2.1542951E-01  1.6542963E-01  9.7937823E-02  0.0000000E+00  2.3523211E-02
  0.0000000E+00  1.0145029E-01  1.6808438E-01  2.1751272E-01  3.0265668E-01  3.2716221E-01  3.8912600E+00  5.3179651E-01  6.5017794E-01  2.1772210E-01  1.6808438E-01  1.0145029E-01  0.0000000E+00  2.4289286E-02
  0.0000000E+00  1.0475792E-01  1.7056722E-01  2.1957402E-01  3.0402169E-01  3.2860925E-01  3.8769985E+00  5.3375068E-01  6.5334613E-01  2.1985419E-01  1.7056722E-01  1.0475792E-01  0.0000000E+00  2.5058199E-02
  0.0000000E+00  1.0787537E-01  1.7289067E-01  2.2148931E-01  3.0526095E-01  3.2992492E-01  3.8615927E+00  5.3553779E-01  6.5630079E-01  2.2183767E-01  1.7289067E-01  1.0787537E-01  0.0000000E+00  2.5829980E-02
  7.4392799E-18  1.1081610E-01  1.7506624E-01  2.2326936E-01  3.0638416E-01  3.3111931E-01  3.8452048E+00  5.3717051E-01  6.5905719E-01  2.2368343E-01  1.7506624E-01  1.1081610E-01  7.4392799E-18  2.6604651E-02
  1.5151406E-03  1.1359531E-01  1.7710947E-01  2.2494191E-01  3.0738617E-01  3.3222103E-01  3.8247506E+00  5.3867794E-01  6.6160957E-01  2.2541919E-01  1.7710947E-01  1.1359531E-01  1.5151406E-03  2.7380932E-02
  5.5367026E-03  1.1622533E-01  1.7903120E-01  2.2649527E-01  3.0832194E-01  3.3321784E-01  3.7982975E+00  5.4004956E-01  6.6401654E-01  2.2703337E-01  1.7903120E-01  1.1622533E-01  5.5367026E-03  2.8158083E-02
  9.3670914E-03  1.1870997E-01  1.8082958E-01  2.2793499E-01  3.0915883E-01  3.3411174E-01  3.7716859E+00  5.4129270E-01  6.6626069E-01  2.2853200E-01  1.8082958E-01  1.1870997E-01  9.3670914E-03  2.8938749E-02
  1.3018016E-02  1.2105849E-01  1.8251272E-01  2.2926871E-01  3.0990387E-01  3.3490998E-01  3.7449775E+00  5.4241618E-01  6.6835242E-01  2.2992281E-01  1.8251272E-01  1.2105849E-01  1.3018016E-02  2.9722965E-02
  1.6500306E-02  1.2327940E-01  1.8408809E-01  2.3050352E-01  3.1056352E-01  3.3561926E-01  3.7182261E+00  5.4342812E-01  6.7030129E-01  2.3121298E-01  1.8408809E-01  1.2327940E-01  1.6500306E-02  3.0510764E-02
  1.9823963E-02  1.2538058E-01  1.8556257E-01  2.3164586E-01  3.1114368E-01  3.3624566E-01  3.6914786E+00  5.4433587E-01  6.7211605E-01  2.3240902E-01  1.8556257E-01  1.2538058E-01  1.9823963E-02  3.1302185E-02
  2.2998128E-02  1.2736910E-01  1.8694232E-01  2.3270155E-01  3.1164966E-01  3.3679471E-01  3.6647684E+00  5.4514630E-01  6.7380490E-01  2.3351685E-01  1.8694232E-01  1.2736910E-01  2.2998128E-02  3.2097261E-02
  2.6031542E-02  1.2925207E-01  1.8823357E-01  2.3367649E-01  3.1208684E-01  3.3727197E-01  3.6381454E+00  5.4586605E-01  6.7537567E-01  2.3454241E-01  1.8823357E-01  1.2925207E-01  2.6031542E-02  3.2896030E-02
  2.8932051E-02  1.3103553E-01  1.8944158E-01  2.3457558E-01  3.1245968E-01  3.3768206E-01  3.6116337E+00  5.4650079E-01  6.7683517E-01  2.3549069E-01  1.8944158E-01  1.3103553E-01  2.8932051E-02  3.3698531E-02
  3.1707045E-02  1.3272527E-01  1.9057141E-01  2.3540361E-01  3.1277247E-01  3.3802944E-01  3.5852602E+00  5.4705595E-01  6.7818995E-01  2.3636652E-01  1.9057141E-01  1.3272527E-01  3.1707045E-02  3.4504799E-02
  3.4363370E-02  1.3432665E-01  1.9162768E-01  2.3616491E-01  3.1302918E-01  3.3831820E-01  3.5590480E+00  5.4753655E-01  6.7944601E-01  2.3717429E-01  1.9162768E-01  1.3432665E-01  3.4363370E-02  3.5314873E-02
  3.6907423E-02  1.3584466E-01  1.9261474E-01  2.3686357E-01  3.1323348E-01  3.3855216E-01  3.5330171E+00  5.4794727E-01  6.8060902E-01  2.3791816E-01  1.9261474E-01  1.3584466E-01  3.6907423E-02  3.6128794E-02
  3.9345132E-02  1.3728395E-01  1.9353665E-01  2.3750336E-01  3.1338875E-01  3.3873484E-01  3.5071847E+00  5.4829242E-01  6.8168419E-01  2.3860195E-01  1.9353665E-01  1.3728395E-01  3.9345132E-02  3.6946600E-02
  4.1681947E-02  1.3864867E-01  1.9439694E-01  2.3808762E-01  3.1349801E-01  3.3886936E-01  3.4815578E+00  5.4857585E-01  6.8267622E-01  2.3922904E-01  1.9439694E-01  1.3864867E-01  4.1681947E-02  3.7768331E-02
  4.3923287E-02  1.3994320E-01  1.9519947E-01  2.3861998E-01  3.1356453E-01  3.3895910E-01  3.4561638E+00  5.4880167E-01  6.8359006E-01  2.3980309E-01  1.9519947E-01  1.3994320E-01  4.3923287E-02  3.8594029E-02
  4.6073877E-02  1.4117115E-01  1.9594735E-01  2.3910329E-01  3.1359085E-01  3.3900673E-01  3.4310061E+00  5.4897316E-01  6.8442975E-01  2.4032703E-01  1.9594735E-01  1.4117115E-01  4.6073877E-02  3.9423736E-02
  4.8138279E-02  1.4233605E-01  1.9664360E-01  2.3954043E-01  3.1357954E-01  3.3901490E-01  3.4060934E+00  5.4909359E-01  6.8519931E-01  2.4080375E-01  1.9664360E-01  1.4233605E-01  4.8138279E-02  4.0257493E-02
  5.0120716E-02  1.4344118E-01  1.9729106E-01  2.3993400E-01  3.1353293E-01  3.3898602E-01  3.3814330E+00  5.4916598E-01  6.8590243E-01  2.4123591E-01  1.9729106E-01  1.4344118E-01  5.0120716E-02  4.1095342E-02
  5.2025215E-02  1.4448965E-01  1.9789240E-01  2.4028655E-01  3.1345326E-01  3.3892244E-01  3.3570308E+00  5.4919319E-01  6.8654265E-01  2.4162608E-01  1.9789240E-01  1.4448965E-01  5.2025215E-02  4.1937330E-02
  5.3855508E-02  1.4548433E-01  1.9845011E-01  2.4060034E-01  3.1334256E-01  3.3882627E-01  3.3328916E+00  5.4917783E-01  6.8712319E-01  2.4197657E-01  1.9845011E-01  1.4548433E-01  5.3855508E-02  4.2783499E-02
  5.5614955E-02  1.4642778E-01  1.9896633E-01  2.4087737E-01  3.1320257E-01  3.3869931E-01  3.3090118E+00  5.4912221E-01  6.8764698E-01  2.4228940E-01  1.9896633E-01  1.4642778E-01  5.5614955E-02  4.3633895E-02
  5.7307162E-02  1.4732289E-01  1.9944361E-01  2.4112004E-01  3.1303546E-01  3.3854382E-01  3.2854083E+00  5.4902901E-01  6.8811723E-01  2.4256701E-01  1.9944361E-01  1.4732289E-01  5.7307162E-02  4.4488563E-02
  5.8935099E-02  1.4817187E-01  1.9988382E-01  2.4133007E-01  3.1284270E-01  3.3836133E-01  3.2620762E+00  5.4890021E-01  6.8853651E-01  2.4281114E-01  1.9988382E-01  1.4817187E-01  5.8935099E-02  4.5347549E-02
  0.0000000E+00  4.0000000E-09  1.7000087E-17  5.9182333E-02  1.6431994E-01  1.8699881E-01  2.2453787E+00  3.8759674E-01  4.7005511E-01  5.7410096E-02  1.7000087E-17  4.2000000E-09  0.0000000E+00  7.7350530E-03
  0.0000000E+00  4.0000000E-09  1.3837798E-02  7.1578565E-02  1.7371595E-01  1.9760513E-01  2.4465040E+00  4.0231985E-01  4.9055587E-01  7.0153901E-02  1.3837798E-02  4.2000000E-09  0.0000000E+00  8.3610208E-03
  0.0000000E+00  5.6000000E-09  2.5811723E-02  8.2123655E-02  1.8172073E-01  2.0623155E-01  2.6032612E+00  4.1399109E-01  5.0776765E-01  8.1014341E-02  2.5811723E-02  5.4000000E-09  0.0000000E+00  8.9629424E-03
  0.0000000E+00  4.8000000E-09  3.6260029E-02  9.1282643E-02  1.8857754E-01  2.1361384E-01  2.7251017E+00  4.2395225E-01  5.2269391E-01  9.0454820E-02  3.6260029E-02  4.9000000E-09  0.0000000E+00  9.5668062E-03
  0.0000000E+00  4.5000000E-09  4.5441766E-02  9.9290858E-02  1.9448323E-01  2.1996655E-01  2.8193701E+00  4.3250303E-01  5.3572223E-01  9.8716125E-02  4.5441766E-02  3.9000000E-09  0.0000000E+00  1.0172627E-02
  0.0000000E+00  4.9000000E-09  5.3560965E-02  1.0633419E-01  1.9959389E-01  2.2545953E-01  2.8917673E+00  4.3988017E-01  5.4716048E-01  1.0598848E-01  5.3560965E-02  4.7000000E-09  0.0000000E+00  1.0780417E-02
  0.0000000E+00  4.6000000E-09  6.0780091E-02  1.1256087E-01  2.0403411E-01  2.3022826E-01  2.9467092E+00  4.4627192E-01  5.5725473E-01  1.1242356E-01  6.0780091E-02  3.6000000E-09  0.0000000E+00  1.1390191E-02
  0.0000000E+00  2.3667376E-03  6.7216509E-02  1.1808385E-01  2.0791006E-01  2.3438524E-01  2.9824834E+00  4.5181952E-01  5.6616538E-01  1.1813566E-01  6.7216509E-02  2.3667376E-03  0.0000000E+00  1.2001855E-02
  0.0000000E+00  9.7116854E-03  7.2969111E-02  1.2299647E-01  2.1130589E-01  2.3802061E-01  2.9965569E+00  4.5664024E-01  5.7403322E-01  1.2321960E-01  7.2969111E-02  9.7116854E-03  0.0000000E+00  1.2615333E-02
  0.0000000E+00  1.6383263E-02  7.8159285E-02  1.2739495E-01  2.1427351E-01  2.4119765E-01  3.0034083E+00  4.6085694E-01  5.8108447E-01  1.2777737E-01  7.8159285E-02  1.6383263E-02  0.0000000E+00  1.3230939E-02
  0.0000000E+00  2.2461937E-02  8.2855027E-02  1.3134239E-01  2.1686772E-01  2.4397497E-01  3.0043477E+00  4.6454664E-01  5.8741756E-01  1.3187331E-01  8.2855027E-02  2.2461937E-02  0.0000000E+00  1.3848687E-02
  0.0000000E+00  2.8015778E-02  8.7113542E-02  1.3489183E-01  2.1913428E-01  2.4640157E-01  3.0004285E+00  4.6777390E-01  5.9311558E-01  1.3556154E-01  8.7113542E-02  2.8015778E-02  0.0000000E+00  1.4468595E-02
  0.0000000E+00  3.3103392E-02  9.0984607E-02  1.3808940E-01  2.2111300E-01  2.4852004E-01  2.9925338E+00  4.7059447E-01  5.9825040E-01  1.3888912E-01  9.0984607E-02  3.3103392E-02  0.0000000E+00  1.5090677E-02
  0.0000000E+00  3.7774856E-02  9.4510386E-02  1.4097413E-01  2.2283743E-01  2.5036626E-01  2.9813757E+00  4.7305546E-01  6.0288325E-01  1.4189591E-01  9.4510386E-02  3.7774856E-02  0.0000000E+00  1.5714951E-02
  0.0000000E+00  4.2073388E-02  9.7727304E-02  1.4357965E-01  2.2433633E-01  2.5197102E-01  2.9675385E+00  4.7519732E-01  6.0706697E-01  1.4461627E-01  9.7727304E-02  4.2073388E-02  0.0000000E+00  1.6341433E-02
  0.0000000E+00  4.6037073E-02  1.0066765E-01  1.4593587E-01  2.2563530E-01  2.5336171E-01  2.9515260E+00  4.7705590E-01  6.1084847E-01  1.4708072E-01  1.0066765E-01  4.6037073E-02  0.0000000E+00  1.6970141E-02
  0.0000000E+00  4.9698628E-02  1.0335898E-01  1.4806817E-01  2.2675592E-01  2.5456140E-01  2.9337397E+00  4.7866141E-01  6.1426762E-01  1.4931520E-01  1.0335898E-01  4.9698628E-02  0.0000000E+00  1.7601093E-02
  0.0000000E+00  5.3086715E-02  1.0582541E-01  1.4999873E-01  2.2771693E-01  2.5559015E-01  2.9145119E+00  4.8004030E-01  6.1735954E-01  1.5134243E-01  1.0582541E-01  5.3086715E-02  0.0000000E+00  1.8234305E-02
  0.0000000E+00  5.6227110E-02  1.0808873E-01  1.5174768E-01  2.2853542E-01  2.5646625E-01  2.8941399E+00  4.8121628E-01  6.2015566E-01  1.5318293E-01  1.0808873E-01  5.6227110E-02  0.0000000E+00  1.8869795E-02
  0.0000000E+00  5.9142104E-02  1.1016769E-01  1.5333222E-01  2.2922585E-01  2.5720512E-01  2.8728552E+00  4.8220969E-01  6.2268325E-01  1.5485430E-01  1.1016769E-01  5.9142104E-02  0.0000000E+00  1.9507581E-02
  0.0000000E+00  6.1851341E-02  1.1207872E-01  1.5476744E-01  2.2980082E-01  2.5782030E-01  2.8508505E+00  4.8303835E-01  6.2496636E-01  1.5637200E-01  1.1207872E-01  6.1851341E-02  0.0000000E+00  2.0147679E-02
  0.0000000E+00  6.4372924E-02  1.1383715E-01  1.5606741E-01  2.3027216E-01  2.5832440E-01  2.8283061E+00  4.8371865E-01  6.2702702E-01  1.5775040E-01  1.1383715E-01  6.4372924E-02  0.0000000E+00  2.0790110E-02
  0.0000000E+00  6.6722458E-02  1.1545604E-01  1.5724405E-01  2.3064978E-01  2.5872804E-01  2.8053570E+00  4.8426455E-01  6.2888428E-01  1.5900172E-01  1.1545604E-01  6.6722458E-02  0.0000000E+00  2.1434890E-02
  0.0000000E+00  6.8914070E-02  1.1694720E-01  1.5830822E-01  2.3094274E-01  2.5904091E-01  2.7821222E+00  4.8468888E-01  6.3055559E-01  1.6013708E-01  1.1694720E-01  6.8914070E-02  0.0000000E+00  2.2082046E-02
  0.0000000E+00  7.0960452E-02  1.1832128E-01  1.5926957E-01  2.3115886E-01  2.5927138E-01  2.7587015E+00  4.8500249E-01  6.3205598E-01  1.6116636E-01  1.1832128E-01  7.0960452E-02  0.0000000E+00  2.2731582E-02
  0.0000000E+00  7.2872818E-02  1.1958762E-01  1.6013660E-01  2.3130520E-01  2.5942702E-01  2.7351718E+00  4.8521547E-01  6.3339939E-01  1.6209828E-01  1.1958762E-01  7.2872818E-02  0.0000000E+00  2.3383526E-02
  4.8332701E-18  7.4661847E-02  1.2075519E-01  1.6091754E-01  2.3138854E-01  2.5951506E-01  2.7116185E+00  4.8533719E-01  6.3459869E-01  1.6294127E-01  1.2075519E-01  7.4661847E-02  4.8332701E-18  2.4037894E-02
  9.8438070E-04  7.6339104E-02  1.2183575E-01  1.6163448E-01  2.3140311E-01  2.5955852E-01  2.6859055E+00  4.8539199E-01  6.3564946E-01  1.6371740E-01  1.2183575E-01  7.6339104E-02  9.8438070E-04  2.4693527E-02
  3.5890036E-03  7.7913619E-02  1.2283696E-01  1.6227596E-01  2.3139343E-01  2.5954522E-01  2.6566824E+00  4.8536916E-01  6.3660041E-01  1.6441536E-01  1.2283696E-01  7.7913619E-02  3.5890036E-03  2.5349734E-02
  6.0584794E-03  7.9388128E-02  1.2375694E-01  1.6284592E-01  2.3132998E-01  2.5947465E-01  2.6278961E+00  4.8527087E-01  6.3743469E-01  1.6503961E-01  1.2375694E-01  7.9388128E-02  6.0584794E-03  2.6008892E-02
  8.4016165E-03  8.0769383E-02  1.2460139E-01  1.6334966E-01  2.3121721E-01  2.5935155E-01  2.5995502E+00  4.8510314E-01  6.3816042E-01  1.6559555E-01  1.2460139E-01  8.0769383E-02  8.4016165E-03  2.6671028E-02
  1.0626645E-02  8.2064086E-02  1.2537611E-01  1.6379251E-01  2.3105972E-01  2.5918073E-01  2.5716669E+00  4.8487203E-01  6.3878565E-01  1.6608865E-01  1.2537611E-01  8.2064086E-02  1.0626645E-02  2.7336173E-02
  1.2740990E-02  8.3277873E-02  1.2608586E-01  1.6417887E-01  2.3086113E-01  2.5896608E-01  2.5442443E+00  4.8458249E-01  6.3931716E-01  1.6652337E-01  1.2608586E-01  8.3277873E-02  1.2740990E-02  2.8004357E-02
  1.4751531E-02  8.4416078E-02  1.2673518E-01  1.6451289E-01  2.3062491E-01  2.5871126E-01  2.5172850E+00  4.8423921E-01  6.3976137E-01  1.6690399E-01  1.2673518E-01  8.4416078E-02  1.4751531E-02  2.8675609E-02
  1.6664628E-02  8.5483633E-02  1.2732826E-01  1.6479840E-01  2.3035428E-01  2.5841968E-01  2.4907895E+00  4.8384655E-01  6.4012424E-01  1.6723441E-01  1.2732826E-01  8.5483633E-02  1.6664628E-02  2.9349960E-02
  1.8486145E-02  8.6485067E-02  1.2786892E-01  1.6503892E-01  2.3005211E-01  2.5809440E-01  2.4647566E+00  4.8340843E-01  6.4041118E-01  1.6751824E-01  1.2786892E-01  8.6485067E-02  1.8486145E-02  3.0027441E-02
  2.0221394E-02  8.7424363E-02  1.2836051E-01  1.6523748E-01  2.2972090E-01  2.5773807E-01  2.4391764E+00  4.8292830E-01  6.4062708E-01  1.6775858E-01  1.2836051E-01  8.7424363E-02  2.0221394E-02  3.0708084E-02
  2.1875575E-02  8.8305738E-02  1.2880664E-01  1.6539740E-01  2.2936341E-01  2.5735362E-01  2.4140595E+00  4.8240983E-01  6.4077691E-01  1.6795884E-01  1.2880664E-01  8.8305738E-02  2.1875575E-02  3.1391921E-02
  2.3453277E-02  8.9132614E-02  1.2921016E-01  1.6552127E-01  2.2898174E-01  2.5694328E-01  2.3893944E+00  4.8185592E-01  6.4086483E-01  1.6812165E-01  1.2921016E-01  8.9132614E-02  2.3453277E-02  3.2078984E-02
  2.4958808E-02  8.9908280E-02  1.2957382E-01  1.6561158E-01  2.2857790E-01  2.5650919E-01  2.3651754E+00  4.8126937E-01  6.4089479E-01  1.6824959E-01  1.2957382E-01  8.9908280E-02  2.4958808E-02  3.2769307E-02
  2.6396186E-02  9.0635808E-02  1.2990021E-01  1.6567067E-01  2.2815380E-01  2.5605337E-01  2.3413967E+00  4.8065279E-01  6.4087051E-01  1.6834505E-01  1.2990021E-01  9.0635808E-02  2.6396186E-02  3.3462923E-02
  2.7769154E-02  9.1318065E-02  1.3019170E-01  1.6570071E-01  2.2771117E-01  2.5557767E-01  2.3180513E+00  4.8000856E-01  6.4079540E-01  1.6841024E-01  1.3019170E-01  9.1318065E-02  2.7769154E-02  3.4159866E-02
  2.9081199E-02  9.1957678E-02  1.3045051E-01  1.6570366E-01  2.2725159E-01  2.5508378E-01  2.2951324E+00  4.7933889E-01  6.4067266E-01  1.6844720E-01  1.3045051E-01  9.1957678E-02  2.9081199E-02  3.4860172E-02
  3.0335416E-02  9.2556931E-02  1.3067849E-01  1.6568122E-01  2.2677633E-01  2.5457307E-01  2.2726250E+00  4.7864562E-01  6.4050505E-01  1.6845766E-01  1.3067849E-01  9.2556931E-02  3.0335416E-02  3.5563874E-02
  3.1535116E-02  9.3118476E-02  1.3087791E-01  1.6563542E-01  2.2628712E-01  2.5404733E-01  2.2505358E+00  4.7793101E-01  6.4029569E-01  1.6844370E-01  1.3087791E-01  9.3118476E-02  3.1535116E-02  3.6271010E-02
  3.2683002E-02  9.3644286E-02  1.3105036E-01  1.6556770E-01  2.2578506E-01  2.5350775E-01  2.2288502E+00  4.7719662E-01  6.4004697E-01  1.6840682E-01  1.3105036E-01  9.3644286E-02  3.2683002E-02  3.6981616E-02
  3.3781720E-02  9.4136348E-02  1.3119749E-01  1.6547952E-01  2.2527125E-01  2.5295553E-01  2.2075601E+00  4.7644408E-01  6.3976129E-01  1.6834851E-01  1.3119749E-01  9.4136348E-02  3.3781720E-02  3.7695729E-02
  3.4833770E-02  9.4596528E-02  1.3132084E-01  1.6537226E-01  2.2474677E-01  2.5239181E-01  2.1866575E+00  4.7567486E-01  6.3944088E-01  1.6827018E-01  1.3132084E-01  9.4596528E-02  3.4833770E-02  3.8413384E-02
  3.5841476E-02  9.5026570E-02  1.3142185E-01  1.6524721E-01  2.2421261E-01  2.5181765E-01  2.1661344E+00  4.7489037E-01  6.3908782E-01  1.6817317E-01  1.3142185E-01  9.5026570E-02  3.5841476E-02  3.9134623E-02
  3.6807006E-02  9.5428111E-02  1.3150183E-01  1.6510552E-01  2.2366970E-01  2.5123401E-01  2.1459827E+00  4.7409189E-01  6.3870409E-01  1.6805867E-01  1.3150183E-01  9.5428111E-02  3.6807006E-02  3.9859483E-02
  0.0000000E+00  2.9000000E-09  1.2504862E-17  5.1274298E-02  1.4269359E-01  1.7372256E-01  2.0700178E+00  4.0988584E-01  5.2568901E-01  5.1630071E-02  1.2504862E-17  2.3000000E-09  0.0000000E+00  8.0085814E-03
  0.0000000E+00  2.9000000E-09  1.0176166E-02  5.9737676E-02  1.4760515E-01  1.7913305E-01  2.1573117E+00  4.1721265E-01  5.4148503E-01  6.0597010E-02  1.0176166E-02  2.3000000E-09  0.0000000E+00  8.4668389E-03
  0.0000000E+00  1.6000000E-09  1.8778608E-02  6.6905377E-02  1.5192364E-01  1.8386825E-01  2.2223606E+00  4.2371898E-01  5.5412879E-01  6.8096454E-02  1.8778608E-02  2.9000000E-09  0.0000000E+00  8.9603560E-03
  0.0000000E+00  1.6000000E-09  2.6124310E-02  7.2957114E-02  1.5543183E-01  1.8768443E-01  2.2652925E+00  4.2891278E-01  5.6470142E-01  7.4436215E-02  2.6124310E-02  2.9000000E-09  0.0000000E+00  9.4554531E-03
  0.0000000E+00  1.1000000E-09  3.2451172E-02  7.8107261E-02  1.5829074E-01  1.9076654E-01  2.2916295E+00  4.3305719E-01  5.7359482E-01  7.9838646E-02  3.2451172E-02  1.9000000E-09  0.0000000E+00  9.9521425E-03
  0.0000000E+00  2.8000000E-09  3.7940512E-02  8.2518937E-02  1.6062258E-01  1.9325486E-01  2.3054534E+00  4.3635336E-01  5.8111189E-01  8.4473035E-02  3.7940512E-02  3.1000000E-09  0.0000000E+00  1.0450434E-02
  0.0000000E+00  1.1000000E-09  4.2733954E-02  8.6319465E-02  1.6252256E-01  1.9525833E-01  2.3098056E+00  4.3895776E-01  5.8749015E-01  8.8471565E-02  4.2733954E-02  1.9000000E-09  0.0000000E+00  1.0950339E-02
  0.0000000E+00  1.6105594E-03  4.6934822E-02  8.9607732E-02  1.6407703E-01  1.9687344E-01  2.3034198E+00  4.4099873E-01  5.9289479E-01  9.1935548E-02  4.6934822E-02  1.6105594E-03  0.0000000E+00  1.1451765E-02
  0.0000000E+00  6.5691239E-03  5.0629833E-02  9.2464853E-02  1.6535296E-01  1.9817575E-01  2.2844487E+00  4.4257971E-01  5.9746779E-01  9.4948510E-02  5.0629833E-02  6.5691239E-03  0.0000000E+00  1.1954628E-02
  0.0000000E+00  1.1019378E-02  5.3908917E-02  9.4955313E-02  1.6636501E-01  1.9918732E-01  2.2626515E+00  4.4375884E-01  6.0138137E-01  9.7580954E-02  5.3908917E-02  1.1019378E-02  0.0000000E+00  1.2459222E-02
  0.0000000E+00  1.5027154E-02  5.6826947E-02  9.7129025E-02  1.6715202E-01  1.9995146E-01  2.2387559E+00  4.4459579E-01  6.0472417E-01  9.9884453E-02  5.6826947E-02  1.5027154E-02  0.0000000E+00  1.2965559E-02
  0.0000000E+00  1.8648051E-02  5.9430690E-02  9.9028501E-02  1.6774707E-01  2.0050495E-01  2.2133501E+00  4.4514088E-01  6.0757122E-01  1.0190293E-01  5.9430690E-02  1.8648051E-02  0.0000000E+00  1.3473652E-02
  0.0000000E+00  2.1928720E-02  6.1759019E-02  1.0068889E-01  1.6817719E-01  2.0087787E-01  2.1868831E+00  4.4543559E-01  6.0998529E-01  1.0367275E-01  6.1759019E-02  2.1928720E-02  0.0000000E+00  1.3983515E-02
  0.0000000E+00  2.4908732E-02  6.3844834E-02  1.0213993E-01  1.6846503E-01  2.0109539E-01  2.1597037E+00  4.4551465E-01  6.1201950E-01  1.0522465E-01  6.3844834E-02  2.4908732E-02  0.0000000E+00  1.4495160E-02
  0.0000000E+00  2.7622415E-02  6.5716896E-02  1.0340749E-01  1.6863040E-01  2.0117943E-01  2.1321057E+00  4.4540808E-01  6.1371982E-01  1.0658541E-01  6.5716896E-02  2.7622415E-02  0.0000000E+00  1.5008599E-02
  0.0000000E+00  3.0098666E-02  6.7399073E-02  1.0451298E-01  1.6868933E-01  2.0114780E-01  2.1042980E+00  4.4514071E-01  6.1512510E-01  1.0777722E-01  6.7399073E-02  3.0098666E-02  0.0000000E+00  1.5523852E-02
  0.0000000E+00  3.2363067E-02  6.8912656E-02  1.0547551E-01  1.6865623E-01  2.0101639E-01  2.0764659E+00  4.4473427E-01  6.1626927E-01  1.0881985E-01  6.8912656E-02  3.2363067E-02  0.0000000E+00  1.6040928E-02
  0.0000000E+00  3.4437389E-02  7.0275626E-02  1.0631109E-01  1.6854291E-01  2.0079828E-01  2.0487404E+00  4.4420694E-01  6.1718131E-01  1.0972988E-01  7.0275626E-02  3.4437389E-02  0.0000000E+00  1.6559842E-02
  0.0000000E+00  3.6340781E-02  7.1503783E-02  1.0703377E-01  1.6835975E-01  2.0050491E-01  2.0212284E+00  4.4357453E-01  6.1788657E-01  1.1052191E-01  7.1503783E-02  3.6340781E-02  0.0000000E+00  1.7080609E-02
  0.0000000E+00  3.8089801E-02  7.2610696E-02  1.0765557E-01  1.6811546E-01  2.0014589E-01  1.9940053E+00  4.4285048E-01  6.1840695E-01  1.1120838E-01  7.2610696E-02  3.8089801E-02  0.0000000E+00  1.7603241E-02
  0.0000000E+00  3.9699529E-02  7.3608885E-02  1.0818757E-01  1.6781815E-01  1.9973014E-01  1.9671482E+00  4.4204700E-01  6.1876226E-01  1.1180079E-01  7.3608885E-02  3.9699529E-02  0.0000000E+00  1.8127755E-02
  0.0000000E+00  4.1182811E-02  7.4508802E-02  1.0863899E-01  1.6747444E-01  1.9926492E-01  1.9406995E+00  4.4117420E-01  6.1896936E-01  1.1230871E-01  7.4508802E-02  4.1182811E-02  0.0000000E+00  1.8654165E-02
  0.0000000E+00  4.2550961E-02  7.5319658E-02  1.0901786E-01  1.6708994E-01  1.9875643E-01  1.9146889E+00  4.4024086E-01  6.1904308E-01  1.1274049E-01  7.5319658E-02  4.2550961E-02  0.0000000E+00  1.9182486E-02
  0.0000000E+00  4.3814536E-02  7.6050143E-02  1.0933186E-01  1.6667023E-01  1.9821073E-01  1.8891545E+00  4.3925526E-01  6.1899717E-01  1.1310411E-01  7.6050143E-02  4.3814536E-02  0.0000000E+00  1.9712736E-02
  0.0000000E+00  4.4982498E-02  7.6707520E-02  1.0958726E-01  1.6621954E-01  1.9763249E-01  1.8641092E+00  4.3822394E-01  6.1884312E-01  1.1340609E-01  7.6707520E-02  4.4982498E-02  0.0000000E+00  2.0244923E-02
  0.0000000E+00  4.6062974E-02  7.7298351E-02  1.0978977E-01  1.6574187E-01  1.9702607E-01  1.8395648E+00  4.3715300E-01  6.1859147E-01  1.1365235E-01  7.7298351E-02  4.6062974E-02  0.0000000E+00  2.0779066E-02
  2.9430109E-18  4.7063266E-02  7.7828578E-02  1.0994454E-01  1.6524072E-01  1.9639528E-01  1.8155282E+00  4.3604781E-01  6.1825165E-01  1.1384827E-01  7.7828578E-02  4.7063266E-02  2.9430109E-18  2.1315181E-02
  5.9939607E-04  4.7991489E-02  7.8306309E-02  1.1006813E-01  1.6470977E-01  1.9575764E-01  1.7905844E+00  4.3492807E-01  6.1782118E-01  1.1401048E-01  7.8306309E-02  4.7991489E-02  5.9939607E-04  2.1852235E-02
  2.1800558E-03  4.8854268E-02  7.8737121E-02  1.1015038E-01  1.6418412E-01  1.9510197E-01  1.7638481E+00  4.3378372E-01  6.1733946E-01  1.1412894E-01  7.8737121E-02  4.8854268E-02  2.1800558E-03  2.2389592E-02
  3.6713482E-03  4.9653228E-02  7.9119005E-02  1.1019356E-01  1.6363799E-01  1.9442533E-01  1.7378288E+00  4.3261095E-01  6.1678754E-01  1.1420638E-01  7.9119005E-02  4.9653228E-02  3.6713482E-03  2.2929351E-02
  5.0795224E-03  5.0393163E-02  7.9455929E-02  1.1020123E-01  1.6307395E-01  1.9373047E-01  1.7125053E+00  4.3141345E-01  6.1617150E-01  1.1424644E-01  7.9455929E-02  5.0393163E-02  5.0795224E-03  2.3471531E-02
  6.4102936E-03  5.1078459E-02  7.9751525E-02  1.1017656E-01  1.6249430E-01  1.9301986E-01  1.6878567E+00  4.3019448E-01  6.1549690E-01  1.1425240E-01  7.9751525E-02  5.1078459E-02  6.4102936E-03  2.4016158E-02
  7.6688642E-03  5.1713076E-02  8.0009045E-02  1.1012239E-01  1.6190104E-01  1.9229565E-01  1.6638619E+00  4.2895700E-01  6.1476880E-01  1.1422724E-01  8.0009045E-02  5.1713076E-02  7.6688642E-03  2.4563254E-02
  8.8599338E-03  5.2300487E-02  8.0231307E-02  1.1004117E-01  1.6129582E-01  1.9155960E-01  1.6404932E+00  4.2770336E-01  6.1399144E-01  1.1417347E-01  8.0231307E-02  5.2300487E-02  8.8599338E-03  2.5112845E-02
  9.9880354E-03  5.2844359E-02  8.0421385E-02  1.0993558E-01  1.6068069E-01  1.9081391E-01  1.6177436E+00  4.2643652E-01  6.1316969E-01  1.1409390E-01  8.0421385E-02  5.2844359E-02  9.9880354E-03  2.5664956E-02
  1.1057141E-02  5.3347585E-02  8.0581591E-02  1.0980764E-01  1.6005692E-01  1.9005993E-01  1.5955869E+00  4.2515836E-01  6.1230705E-01  1.1399059E-01  8.0581591E-02  5.3347585E-02  1.1057141E-02  2.6219612E-02
  1.2070979E-02  5.3812964E-02  8.0714208E-02  1.0965929E-01  1.5942587E-01  1.8929911E-01  1.5740034E+00  4.2387079E-01  6.1140702E-01  1.1386559E-01  8.0714208E-02  5.3812964E-02  1.2070979E-02  2.6776838E-02
  1.3032958E-02  5.4243069E-02  8.0821300E-02  1.0949232E-01  1.5878871E-01  1.8853269E-01  1.5529743E+00  4.2257556E-01  6.1047281E-01  1.1372075E-01  8.0821300E-02  5.4243069E-02  1.3032958E-02  2.7336660E-02
  1.3946256E-02  5.4640262E-02  8.0904795E-02  1.0930835E-01  1.5814654E-01  1.8776186E-01  1.5324811E+00  4.2127425E-01  6.0950736E-01  1.1355776E-01  8.0904795E-02  5.4640262E-02  1.3946256E-02  2.7899103E-02
  1.4813687E-02  5.5006568E-02  8.0966275E-02  1.0910871E-01  1.5750013E-01  1.8698745E-01  1.5124992E+00  4.1996809E-01  6.0851318E-01  1.1337801E-01  8.0966275E-02  5.5006568E-02  1.4813687E-02  2.8464197E-02
  1.5638176E-02  5.5344324E-02  8.1007674E-02  1.0889508E-01  1.5685074E-01  1.8621074E-01  1.4930243E+00  4.1865874E-01  6.0749311E-01  1.1318324E-01  8.1007674E-02  5.5344324E-02  1.5638176E-02  2.9031966E-02
  1.6422126E-02  5.5655225E-02  8.1030321E-02  1.0866858E-01  1.5619895E-01  1.8543240E-01  1.4740336E+00  4.1734715E-01  6.0644924E-01  1.1297462E-01  8.1030321E-02  5.5655225E-02  1.6422126E-02  2.9602440E-02
  1.7167879E-02  5.5940999E-02  8.1035565E-02  1.0843031E-01  1.5554549E-01  1.8465319E-01  1.4555107E+00  4.1603437E-01  6.0538368E-01  1.1275331E-01  8.1035565E-02  5.5940999E-02  1.7167879E-02  3.0175646E-02
  1.7877595E-02  5.6203236E-02  8.1024687E-02  1.0818135E-01  1.5489100E-01  1.8387378E-01  1.4374401E+00  4.1472138E-01  6.0429837E-01  1.1252043E-01  8.1024687E-02  5.6203236E-02  1.7877595E-02  3.0751611E-02
  1.8553300E-02  5.6443420E-02  8.0998844E-02  1.0792265E-01  1.5423606E-01  1.8309478E-01  1.4198068E+00  4.1340899E-01  6.0319507E-01  1.1227698E-01  8.0998844E-02  5.6443420E-02  1.8553300E-02  3.1330367E-02
  1.9196866E-02  5.6662910E-02  8.0959110E-02  1.0765511E-01  1.5358122E-01  1.8231676E-01  1.4025963E+00  4.1209801E-01  6.0207542E-01  1.1202389E-01  8.0959110E-02  5.6662910E-02  1.9196866E-02  3.1911941E-02
  1.9810051E-02  5.6862976E-02  8.0906470E-02  1.0737953E-01  1.5292692E-01  1.8154019E-01  1.3857946E+00  4.1078911E-01  6.0094095E-01  1.1176202E-01  8.0906470E-02  5.6862976E-02  1.9810051E-02  3.2496364E-02
  2.0394346E-02  5.7044647E-02  8.0841685E-02  1.0709650E-01  1.5227344E-01  1.8076536E-01  1.3693814E+00  4.0948276E-01  5.9979289E-01  1.1149197E-01  8.0841685E-02  5.7044647E-02  2.0394346E-02  3.3083666E-02
  2.0951544E-02  5.7209341E-02  8.0765930E-02  1.0680704E-01  1.5162147E-01  1.7999300E-01  1.3533572E+00  4.0817988E-01  5.9863288E-01  1.1121481E-01  8.0765930E-02  5.7209341E-02  2.0951544E-02  3.3673878E-02
  2.1482948E-02  5.7357920E-02  8.0679836E-02  1.0651163E-01  1.5097120E-01  1.7922330E-01  1.3377029E+00  4.0688078E-01  5.9746193E-01  1.1093105E-01  8.0679836E-02  5.7357920E-02  2.1482948E-02  3.4267031E-02
  0.0000000E+00  4.4000000E-09  8.6042118E-18  4.3485188E-02  1.1628391E-01  1.5747188E-01  1.7751174E+00  4.2619874E-01  5.9015623E-01  4.6932874E-02  8.6042118E-18  4.0000000E-09  0.0000000E+00  8.0188272E-03
  0.0000000E+00  4.4000000E-09  7.0091354E-03  4.8770583E-02  1.1781286E-01  1.5908437E-01  1.7808413E+00  4.2775399E-01  6.0066549E-01  5.2686200E-02  7.0091354E-03  4.0000000E-09  0.0000000E+00  8.3749037E-03
  0.0000000E+00  5.1000000E-09  1.2800601E-02  5.3069881E-02  1.1948148E-01  1.6033463E-01  1.7851696E+00  4.2891960E-01  6.0737127E-01  5.7213266E-02  1.2800601E-02  5.0000000E-09  0.0000000E+00  8.7666132E-03
  0.0000000E+00  4.8000000E-09  1.7642297E-02  5.6571558E-02  1.2065701E-01  1.6106172E-01  1.7780319E+00  4.2930396E-01  6.1247443E-01  6.0905185E-02  1.7642297E-02  5.7000000E-09  0.0000000E+00  9.1595658E-03
  0.0000000E+00  4.2000000E-09  2.1728656E-02  5.9444610E-02  1.2145298E-01  1.6139250E-01  1.7630683E+00  4.2909579E-01  6.1631350E-01  6.3938515E-02  2.1728656E-02  3.9000000E-09  0.0000000E+00  9.5537688E-03
  0.0000000E+00  5.9000000E-09  2.5205647E-02  6.1815322E-02  1.2195338E-01  1.6142019E-01  1.7428186E+00  4.2843552E-01  6.1914587E-01  6.6445285E-02  2.5205647E-02  5.2000000E-09  0.0000000E+00  9.9492319E-03
  0.0000000E+00  4.1000000E-09  2.8184821E-02  6.3779631E-02  1.2222126E-01  1.6121416E-01  1.7190597E+00  4.2742849E-01  6.2116890E-01  6.8525837E-02  2.8184821E-02  5.1000000E-09  0.0000000E+00  1.0345963E-02
  0.0000000E+00  1.0321906E-03  3.0749157E-02  6.5415218E-02  1.2231983E-01  1.6084569E-01  1.6907613E+00  4.2617865E-01  6.2253749E-01  7.0260499E-02  3.0749157E-02  1.0321906E-03  0.0000000E+00  1.0743873E-02
  0.0000000E+00  4.1849400E-03  3.2965347E-02  6.6782337E-02  1.2229407E-01  1.6036528E-01  1.6564739E+00  4.2476241E-01  6.2337702E-01  7.1711948E-02  3.2965347E-02  4.1849400E-03  0.0000000E+00  1.1142873E-02
  0.0000000E+00  6.9804499E-03  3.4896222E-02  6.7917257E-02  1.2213423E-01  1.5975555E-01  1.6223046E+00  4.2316419E-01  6.2377464E-01  7.2920562E-02  3.4896222E-02  6.9804499E-03  0.0000000E+00  1.1543233E-02
  0.0000000E+00  9.4686808E-03  3.6583208E-02  6.8855965E-02  1.2186514E-01  1.5904290E-01  1.5885439E+00  4.2142222E-01  6.2380088E-01  7.3923806E-02  3.6583208E-02  9.4686808E-03  0.0000000E+00  1.1944963E-02
  0.0000000E+00  1.1690753E-02  3.8060023E-02  6.9627466E-02  1.2150632E-01  1.5824795E-01  1.5553808E+00  4.1956668E-01  6.2351326E-01  7.4751924E-02  3.8060023E-02  1.1690753E-02  0.0000000E+00  1.2348074E-02
  0.0000000E+00  1.3681460E-02  3.9355453E-02  7.0256500E-02  1.2107447E-01  1.5738812E-01  1.5229614E+00  4.1762275E-01  6.2296020E-01  7.5430622E-02  3.9355453E-02  1.3681460E-02  0.0000000E+00  1.2752576E-02
  0.0000000E+00  1.5469709E-02  4.0493109E-02  7.0763117E-02  1.2058268E-01  1.5647701E-01  1.4913704E+00  4.1561037E-01  6.2218155E-01  7.5980877E-02  4.0493109E-02  1.5469709E-02  0.0000000E+00  1.3158479E-02
  0.0000000E+00  1.7079952E-02  4.1492903E-02  7.1164171E-02  1.2004174E-01  1.5552571E-01  1.4606573E+00  4.1354581E-01  6.2121069E-01  7.6420213E-02  4.1492903E-02  1.7079952E-02  0.0000000E+00  1.3565794E-02
  0.0000000E+00  1.8533432E-02  4.2372229E-02  7.1474289E-02  1.1946114E-01  1.5454385E-01  1.4308636E+00  4.1144294E-01  6.2007631E-01  7.6763947E-02  4.2372229E-02  1.8533432E-02  0.0000000E+00  1.3974531E-02
  0.0000000E+00  1.9847942E-02  4.3145484E-02  7.1705483E-02  1.1884826E-01  1.5353886E-01  1.4019965E+00  4.0931265E-01  6.1880219E-01  7.7024590E-02  4.3145484E-02  1.9847942E-02  0.0000000E+00  1.4384703E-02
  0.0000000E+00  2.1038764E-02  4.3824917E-02  7.1867911E-02  1.1820925E-01  1.5251684E-01  1.3740487E+00  4.0716391E-01  6.1740853E-01  7.7212748E-02  4.3824917E-02  2.1038764E-02  0.0000000E+00  1.4796318E-02
  0.0000000E+00  2.2119574E-02  4.4421681E-02  7.1970738E-02  1.1754972E-01  1.5148330E-01  1.3470205E+00  4.0500465E-01  6.1591313E-01  7.7338039E-02  4.4421681E-02  2.2119574E-02  0.0000000E+00  1.5209390E-02
  0.0000000E+00  2.3101803E-02  4.4944858E-02  7.2021407E-02  1.1687397E-01  1.5044239E-01  1.3208888E+00  4.0284091E-01  6.1433068E-01  7.7408191E-02  4.4944858E-02  2.3101803E-02  0.0000000E+00  1.5623927E-02
  0.0000000E+00  2.3995452E-02  4.5402388E-02  7.2026293E-02  1.1618555E-01  1.4939750E-01  1.2956258E+00  4.0067775E-01  6.1267392E-01  7.7429939E-02  4.5402388E-02  2.3995452E-02  0.0000000E+00  1.6039943E-02
  0.0000000E+00  2.4809670E-02  4.5801634E-02  7.1991400E-02  1.1548799E-01  1.4835195E-01  1.2712167E+00  3.9851975E-01  6.1095423E-01  7.7409521E-02  4.5801634E-02  2.4809670E-02  0.0000000E+00  1.6457448E-02
  0.0000000E+00  2.5552093E-02  4.6148611E-02  7.1921485E-02  1.1478378E-01  1.4730801E-01  1.2476283E+00  3.9637032E-01  6.0918104E-01  7.7351949E-02  4.6148611E-02  2.5552093E-02  0.0000000E+00  1.6876454E-02
  0.0000000E+00  2.6229628E-02  4.6448727E-02  7.1820835E-02  1.1407522E-01  1.4626776E-01  1.2248322E+00  3.9423239E-01  6.0736270E-01  7.7261698E-02  4.6448727E-02  2.6229628E-02  0.0000000E+00  1.7296974E-02
  0.0000000E+00  2.6848319E-02  4.6706778E-02  7.1693201E-02  1.1336419E-01  1.4523287E-01  1.2027988E+00  3.9210836E-01  6.0550643E-01  7.7142736E-02  4.6706778E-02  2.6848319E-02  0.0000000E+00  1.7719017E-02
  0.0000000E+00  2.7413422E-02  4.6926769E-02  7.1541677E-02  1.1265216E-01  1.4420456E-01  1.1814926E+00  3.9000005E-01  6.0361839E-01  7.6998285E-02  4.6926769E-02  2.7413422E-02  0.0000000E+00  1.8142598E-02
  1.6926903E-18  2.7930051E-02  4.7112810E-02  7.1369507E-02  1.1194085E-01  1.4318432E-01  1.1608962E+00  3.8790941E-01  6.0170441E-01  7.6831743E-02  4.7112810E-02  2.7930051E-02  1.6926903E-18  1.8567727E-02
  3.4474623E-04  2.8403488E-02  4.7270096E-02  7.1188515E-02  1.1122389E-01  1.4218475E-01  1.1401076E+00  3.8585208E-01  5.9976436E-01  7.6655054E-02  4.7270096E-02  2.8403488E-02  3.4474623E-04  1.8993502E-02
  1.2506995E-03  2.8837799E-02  4.7401884E-02  7.0989315E-02  1.1052748E-01  1.4119512E-01  1.1185509E+00  3.8381774E-01  5.9782770E-01  7.6458942E-02  4.7401884E-02  2.8837799E-02  1.2506995E-03  1.9419350E-02
  2.1010931E-03  2.9234101E-02  4.7506650E-02  7.0773329E-02  1.0983058E-01  1.4021088E-01  1.0977496E+00  3.8179663E-01  5.9587076E-01  7.6244964E-02  4.7506650E-02  2.9234101E-02  2.1010931E-03  1.9847084E-02
  2.8999816E-03  2.9595304E-02  4.7586701E-02  7.0542349E-02  1.0913408E-01  1.3923281E-01  1.0776615E+00  3.7978975E-01  5.9389693E-01  7.6015019E-02  4.7586701E-02  2.9595304E-02  2.8999816E-03  2.0276721E-02
  3.6511879E-03  2.9924543E-02  4.7644588E-02  7.0298453E-02  1.0843927E-01  1.3826201E-01  1.0582653E+00  3.7779851E-01  5.9190978E-01  7.5771257E-02  4.7644588E-02  2.9924543E-02  3.6511879E-03  2.0708281E-02
  4.3580800E-03  3.0224199E-02  4.7682156E-02  7.0043041E-02  1.0774676E-01  1.3729898E-01  1.0395226E+00  3.7582357E-01  5.8991194E-01  7.5515133E-02  4.7682156E-02  3.0224199E-02  4.3580800E-03  2.1141783E-02
  5.0237850E-03  3.0496574E-02  4.7701208E-02  6.9777513E-02  1.0705726E-01  1.3634428E-01  1.0214032E+00  3.7386563E-01  5.8790595E-01  7.5248136E-02  4.7701208E-02  3.0496574E-02  5.0237850E-03  2.1577243E-02
  5.6511312E-03  3.0743774E-02  4.7703394E-02  6.9503130E-02  1.0637136E-01  1.3539835E-01  1.0038788E+00  3.7192530E-01  5.8589412E-01  7.4971566E-02  4.7703394E-02  3.0743774E-02  5.6511312E-03  2.2014685E-02
  6.2427330E-03  3.0967716E-02  4.7690195E-02  6.9221014E-02  1.0568961E-01  1.3446161E-01  9.8692229E-01  3.7000303E-01  5.8387844E-01  7.4686612E-02  4.7690195E-02  3.0967716E-02  6.2427330E-03  2.2454124E-02
  6.8008841E-03  3.1169995E-02  4.7662809E-02  6.8932019E-02  1.0501227E-01  1.3353418E-01  9.7050160E-01  3.6809902E-01  5.8186057E-01  7.4394181E-02  4.7662809E-02  3.1169995E-02  6.8008841E-03  2.2895584E-02
  7.3279514E-03  3.1352507E-02  4.7622768E-02  6.8637373E-02  1.0434001E-01  1.3261663E-01  9.5460513E-01  3.6621389E-01  5.7984245E-01  7.4095533E-02  4.7622768E-02  3.1352507E-02  7.3279514E-03  2.3339082E-02
  7.8258674E-03  3.1516561E-02  4.7571048E-02  6.8337726E-02  1.0367303E-01  1.3170899E-01  9.3920359E-01  3.6434766E-01  5.7782534E-01  7.3791377E-02  4.7571048E-02  3.1516561E-02  7.8258674E-03  2.3784641E-02
  8.2964949E-03  3.1663509E-02  4.7508633E-02  6.8033812E-02  1.0301158E-01  1.3081139E-01  9.2427537E-01  3.6250052E-01  5.7581057E-01  7.3482474E-02  4.7508633E-02  3.1663509E-02  8.2964949E-03  2.4232280E-02
  8.7415532E-03  3.1794576E-02  4.7436498E-02  6.7726326E-02  1.0235591E-01  1.2992399E-01  9.0980040E-01  3.6067253E-01  5.7379928E-01  7.3169546E-02  4.7436498E-02  3.1794576E-02  8.7415532E-03  2.4682022E-02
  9.1626135E-03  3.1910889E-02  4.7355448E-02  6.7415841E-02  1.0170620E-01  1.2904683E-01  8.9575913E-01  3.5886377E-01  5.7179250E-01  7.2853224E-02  4.7355448E-02  3.1910889E-02  9.1626135E-03  2.5133886E-02
  9.5611615E-03  3.2013502E-02  4.7266301E-02  6.7102920E-02  1.0106258E-01  1.2817994E-01  8.8213312E-01  3.5707420E-01  5.6979116E-01  7.2534092E-02  4.7266301E-02  3.2013502E-02  9.5611615E-03  2.5587897E-02
  9.9384205E-03  3.2103197E-02  4.7169572E-02  6.6787859E-02  1.0042506E-01  1.2732319E-01  8.6889867E-01  3.5530365E-01  5.6779592E-01  7.2212462E-02  4.7169572E-02  3.2103197E-02  9.9384205E-03  2.6044075E-02
  1.0295884E-02  3.2181183E-02  4.7066237E-02  6.6471431E-02  9.9794012E-02  1.2647688E-01  8.5605176E-01  3.5355235E-01  5.6580781E-01  7.1889147E-02  4.7066237E-02  3.2181183E-02  1.0295884E-02  2.6502443E-02
  1.0634606E-02  3.2248112E-02  4.6956740E-02  6.6153887E-02  9.9169386E-02  1.2564084E-01  8.4357035E-01  3.5182007E-01  5.6382732E-01  7.1564417E-02  4.6956740E-02  3.2248112E-02  1.0634606E-02  2.6963025E-02
  1.0955655E-02  3.2304735E-02  4.6841619E-02  6.5835560E-02  9.8551209E-02  1.2481500E-01  8.3143979E-01  3.5010666E-01  5.6185504E-01  7.1238628E-02  4.6841619E-02  3.2304735E-02  1.0955655E-02  2.7425843E-02
  1.1260069E-02  3.2351758E-02  4.6721377E-02  6.5516784E-02  9.7939542E-02  1.2399931E-01  8.1964580E-01  3.4841200E-01  5.5989148E-01  7.0912129E-02  4.6721377E-02  3.2351758E-02  1.1260069E-02  2.7890921E-02
  1.1548766E-02  3.2389823E-02  4.6596486E-02  6.5197862E-02  9.7334407E-02  1.2319372E-01  8.0817539E-01  3.4673595E-01  5.5793709E-01  7.0585253E-02  4.6596486E-02  3.2389823E-02  1.1548766E-02  2.8358284E-02
  1.1822643E-02  3.2419540E-02  4.6467363E-02  6.4879055E-02  9.6735791E-02  1.2239811E-01  7.9701569E-01  3.4507833E-01  5.5599229E-01  7.0258271E-02  4.6467363E-02  3.2419540E-02  1.1822643E-02  2.8827956E-02
  0.0000000E+00  1.4000000E-09  6.6397847E-18  3.8648857E-02  9.9415480E-02  1.4541530E-01  1.5557423E+00  4.3082870E-01  6.2956623E-01  4.4042857E-02  6.6397847E-18  2.3000000E-09  0.0000000E+00  7.8529052E-03
  0.0000000E+00  1.4000000E-09  5.4094170E-03  4.2322398E-02  1.0032338E-01  1.4524841E-01  1.5435429E+00  4.2948043E-01  6.3410817E-01  4.7897065E-02  5.4094170E-03  2.3000000E-09  0.0000000E+00  8.1873899E-03
  0.0000000E+00  3.2000000E-09  9.8249461E-03  4.5203364E-02  1.0080583E-01  1.4468840E-01  1.5222647E+00  4.2747033E-01  6.3688316E-01  5.0917671E-02  9.8249461E-03  2.9000000E-09  0.0000000E+00  8.5224653E-03
  0.0000000E+00  2.8000000E-09  1.3472318E-02  4.7481295E-02  1.0097794E-01  1.4386274E-01  1.4954627E+00  4.2504192E-01  6.3839739E-01  5.3305105E-02  1.3472318E-02  3.4000000E-09  0.0000000E+00  8.8585966E-03
  0.0000000E+00  1.8000000E-09  1.6515559E-02  4.9291819E-02  1.0092012E-01  1.4285297E-01  1.4654599E+00  4.2232700E-01  6.3894668E-01  5.5201708E-02  1.6515559E-02  2.2000000E-09  0.0000000E+00  9.1957899E-03
  0.0000000E+00  3.8000000E-09  1.9075676E-02  5.0734005E-02  1.0068960E-01  1.4171581E-01  1.4337715E+00  4.1941927E-01  6.3875127E-01  5.6711487E-02  1.9075676E-02  2.9000000E-09  0.0000000E+00  9.5340535E-03
  0.0000000E+00  2.1000000E-09  2.1244544E-02  5.1882502E-02  1.0032880E-01  1.4049214E-01  1.4013964E+00  4.1638659E-01  6.3797742E-01  5.7912862E-02  2.1244544E-02  1.8000000E-09  0.0000000E+00  9.8733941E-03
  0.0000000E+00  7.6661255E-04  2.3090706E-02  5.2799237E-02  9.9884494E-02  1.3923309E-01  1.3672855E+00  4.1331268E-01  6.3677015E-01  5.8870304E-02  2.3090706E-02  7.6661255E-04  0.0000000E+00  1.0213725E-02
  0.0000000E+00  3.0974470E-03  2.4668689E-02  5.3531318E-02  9.9388441E-02  1.3797192E-01  1.3301048E+00  4.1025416E-01  6.3524200E-01  5.9633053E-02  2.4668689E-02  3.0974470E-03  0.0000000E+00  1.0554957E-02
  0.0000000E+00  5.1496652E-03  2.6027667E-02  5.4100558E-02  9.8820411E-02  1.3666975E-01  1.2942288E+00  4.0714896E-01  6.3341961E-01  6.0225536E-02  2.6027667E-02  5.1496652E-03  0.0000000E+00  1.0897345E-02
  0.0000000E+00  6.9634065E-03  2.7200248E-02  5.4533578E-02  9.8196340E-02  1.3534111E-01  1.2597037E+00  4.0401967E-01  6.3135933E-01  6.0675515E-02  2.7200248E-02  6.9634065E-03  0.0000000E+00  1.1240896E-02
  0.0000000E+00  8.5721586E-03  2.8214073E-02  5.4852909E-02  9.7529644E-02  1.3399803E-01  1.2265562E+00  4.0088447E-01  6.2910765E-01  6.1006517E-02  2.8214073E-02  8.5721586E-03  0.0000000E+00  1.1585620E-02
  0.0000000E+00  1.0003301E-02  2.9091222E-02  5.5076210E-02  9.6830290E-02  1.3264904E-01  1.1947641E+00  3.9775665E-01  6.2670167E-01  6.1237005E-02  2.9091222E-02  1.0003301E-02  0.0000000E+00  1.1931526E-02
  0.0000000E+00  1.1280202E-02  2.9850806E-02  5.5218780E-02  9.6106966E-02  1.3130146E-01  1.1643082E+00  3.9464709E-01  6.2417250E-01  6.1382942E-02  2.9850806E-02  1.1280202E-02  0.0000000E+00  1.2278622E-02
  0.0000000E+00  1.2422068E-02  3.0508187E-02  5.5292621E-02  9.5366042E-02  1.2996029E-01  1.1351371E+00  3.9156346E-01  6.2154499E-01  6.1456892E-02  3.0508187E-02  1.2422068E-02  0.0000000E+00  1.2626917E-02
  0.0000000E+00  1.3445664E-02  3.1076932E-02  5.5308378E-02  9.4613235E-02  1.2862995E-01  1.1072118E+00  3.8851223E-01  6.1884038E-01  6.1469969E-02  3.1076932E-02  1.3445664E-02  0.0000000E+00  1.2976420E-02
  0.0000000E+00  1.4364940E-02  3.1568152E-02  5.5274598E-02  9.3852803E-02  1.2731350E-01  1.0804755E+00  3.8549785E-01  6.1607579E-01  6.1431116E-02  3.1568152E-02  1.4364940E-02  0.0000000E+00  1.3327141E-02
  0.0000000E+00  1.5191796E-02  3.1991261E-02  5.5198412E-02  9.3088157E-02  1.2601318E-01  1.0548688E+00  3.8252362E-01  6.1326550E-01  6.1347799E-02  3.1991261E-02  1.5191796E-02  0.0000000E+00  1.3679088E-02
  0.0000000E+00  1.5936874E-02  3.2354789E-02  5.5086308E-02  9.2322474E-02  1.2473109E-01  1.0303465E+00  3.7959229E-01  6.1042182E-01  6.1226779E-02  3.2354789E-02  1.5936874E-02  0.0000000E+00  1.4032271E-02
  0.0000000E+00  1.6609031E-02  3.2665655E-02  5.4943417E-02  9.1557997E-02  1.2346842E-01  1.0068505E+00  3.7670550E-01  6.0755467E-01  6.1073439E-02  3.2665655E-02  1.6609031E-02  0.0000000E+00  1.4386700E-02
  0.0000000E+00  1.7216068E-02  3.2929980E-02  5.4774239E-02  9.0796611E-02  1.2222612E-01  9.8432853E-01  3.7386439E-01  6.0467251E-01  6.0892487E-02  3.2929980E-02  1.7216068E-02  0.0000000E+00  1.4742383E-02
  0.0000000E+00  1.7764627E-02  3.3152899E-02  5.4582451E-02  9.0039734E-02  1.2100470E-01  9.6272451E-01  3.7106948E-01  6.0178221E-01  6.0687782E-02  3.3152899E-02  1.7764627E-02  0.0000000E+00  1.5099331E-02
  0.0000000E+00  1.8260946E-02  3.3339339E-02  5.4371670E-02  8.9288920E-02  1.1980487E-01  9.4200050E-01  3.6832141E-01  5.9889005E-01  6.0463100E-02  3.3339339E-02  1.8260946E-02  0.0000000E+00  1.5457555E-02
  0.0000000E+00  1.8710114E-02  3.3493181E-02  5.4144589E-02  8.8545012E-02  1.1862669E-01  9.2210565E-01  3.6562005E-01  5.9600088E-01  6.0221267E-02  3.3493181E-02  1.8710114E-02  0.0000000E+00  1.5817061E-02
  0.0000000E+00  1.9116748E-02  3.3617954E-02  5.3903663E-02  8.7808819E-02  1.1747022E-01  9.0299633E-01  3.6296520E-01  5.9311895E-01  5.9964856E-02  3.3617954E-02  1.9116748E-02  0.0000000E+00  1.6177863E-02
  0.0000000E+00  1.9484761E-02  3.3716636E-02  5.3650884E-02  8.7080838E-02  1.1633528E-01  8.8462594E-01  3.6035630E-01  5.9024760E-01  5.9695965E-02  3.3716636E-02  1.9484761E-02  0.0000000E+00  1.6539969E-02
  1.1803590E-18  1.9818073E-02  3.3792236E-02  5.3388393E-02  8.6361854E-02  1.1522199E-01  8.6696553E-01  3.5779313E-01  5.8739010E-01  5.9416811E-02  3.3792236E-02  1.9818073E-02  1.1803590E-18  1.6903391E-02
  2.4040094E-04  2.0120603E-02  3.3848632E-02  5.3125660E-02  8.5645676E-02  1.1414032E-01  8.4934090E-01  3.5528906E-01  5.8454769E-01  5.9136997E-02  3.3848632E-02  2.0120603E-02  2.4040094E-04  1.7267303E-02
  8.7077792E-04  2.0395369E-02  3.3888139E-02  5.2854061E-02  8.4954075E-02  1.1308013E-01  8.3131891E-01  3.5283371E-01  5.8174421E-01  5.8847963E-02  3.3888139E-02  2.0395369E-02  8.7077792E-04  1.7631173E-02
  1.4606108E-03  2.0643189E-02  3.3909522E-02  5.2574585E-02  8.4268806E-02  1.1203621E-01  8.1399870E-01  3.5041377E-01  5.7895206E-01  5.8550686E-02  3.3909522E-02  2.0643189E-02  1.4606108E-03  1.7996645E-02
  2.0130026E-03  2.0866361E-02  3.3914559E-02  5.2288496E-02  8.3590316E-02  1.1100862E-01  7.9734245E-01  3.4802906E-01  5.7617320E-01  5.8246470E-02  3.3914559E-02  2.0866361E-02  2.0130026E-03  1.8363735E-02
  2.5307087E-03  2.1066805E-02  3.3904705E-02  5.1996745E-02  8.2918839E-02  1.0999721E-01  7.8130901E-01  3.4567917E-01  5.7340913E-01  5.7936313E-02  3.3904705E-02  2.1066805E-02  2.5307087E-03  1.8732457E-02
  3.0163813E-03  2.1246694E-02  3.3881698E-02  5.1700603E-02  8.2254967E-02  1.0900222E-01  7.6587645E-01  3.4336409E-01  5.7066158E-01  5.7621540E-02  3.3881698E-02  2.1246694E-02  3.0163813E-03  1.9102827E-02
  3.4723026E-03  2.1407578E-02  3.3846676E-02  5.1400800E-02  8.1598798E-02  1.0802340E-01  7.5100863E-01  3.4108329E-01  5.6793161E-01  5.7302901E-02  3.3846676E-02  2.1407578E-02  3.4723026E-03  1.9474861E-02
  3.9006108E-03  2.1551010E-02  3.3800817E-02  5.1098110E-02  8.0950524E-02  1.0706062E-01  7.3667663E-01  3.3883636E-01  5.6522028E-01  5.6981212E-02  3.3800817E-02  2.1551010E-02  3.9006108E-03  1.9848577E-02
  4.3032294E-03  2.1678380E-02  3.3745173E-02  5.0793197E-02  8.0310264E-02  1.0611370E-01  7.2285340E-01  3.3662281E-01  5.6252842E-01  5.6657178E-02  3.3745173E-02  2.1678380E-02  4.3032294E-03  2.0223990E-02
  4.6819472E-03  2.1790964E-02  3.3680685E-02  5.0486685E-02  7.9678134E-02  1.0518244E-01  7.0951359E-01  3.3444216E-01  5.5985677E-01  5.6331429E-02  3.3680685E-02  2.1790964E-02  4.6819472E-03  2.0601118E-02
  5.0382993E-03  2.1889777E-02  3.3608082E-02  5.0178945E-02  7.9054043E-02  1.0426650E-01  6.9662773E-01  3.3229375E-01  5.5720580E-01  5.6004377E-02  3.3608082E-02  2.1889777E-02  5.0382993E-03  2.0979978E-02
  5.3739352E-03  2.1976153E-02  3.3528407E-02  4.9870739E-02  7.8438297E-02  1.0336590E-01  6.8418446E-01  3.3017730E-01  5.5457625E-01  5.5676797E-02  3.3528407E-02  2.1976153E-02  5.3739352E-03  2.1360586E-02
  5.6901610E-03  2.2050929E-02  3.3442240E-02  4.9562344E-02  7.7830775E-02  1.0248026E-01  6.7215756E-01  3.2809215E-01  5.5196840E-01  5.5348982E-02  3.3442240E-02  2.2050929E-02  5.6901610E-03  2.1742961E-02
  5.9882324E-03  2.2114988E-02  3.3350221E-02  4.9254125E-02  7.7231462E-02  1.0160935E-01  6.6052734E-01  3.2603773E-01  5.4938256E-01  5.5021328E-02  3.3350221E-02  2.2114988E-02  5.9882324E-03  2.2127120E-02
  6.2693137E-03  2.2169141E-02  3.3252926E-02  4.8946424E-02  7.6640328E-02  1.0075289E-01  6.4927527E-01  3.2401349E-01  5.4681895E-01  5.4694177E-02  3.3252926E-02  2.2169141E-02  6.2693137E-03  2.2513082E-02
  6.5344839E-03  2.2214130E-02  3.3150887E-02  4.8639522E-02  7.6057312E-02  9.9910602E-02  6.3838389E-01  3.2201884E-01  5.4427777E-01  5.4367834E-02  3.3150887E-02  2.2214130E-02  6.5344839E-03  2.2900866E-02
  6.7847330E-03  2.2250636E-02  3.3044591E-02  4.8333683E-02  7.5482369E-02  9.9082237E-02  6.2783681E-01  3.2005322E-01  5.4175908E-01  5.4042571E-02  3.3044591E-02  2.2250636E-02  6.7847330E-03  2.3290489E-02
  7.0208789E-03  2.2279147E-02  3.2934331E-02  4.8028976E-02  7.4915276E-02  9.8267380E-02  6.1761290E-01  3.1811593E-01  5.3926285E-01  5.3718472E-02  3.2934331E-02  2.2279147E-02  7.0208789E-03  2.3681972E-02
  7.2439652E-03  2.2300513E-02  3.2820780E-02  4.7725888E-02  7.4356230E-02  9.7466023E-02  6.0770846E-01  3.1620669E-01  5.3678935E-01  5.3396037E-02  3.2820780E-02  2.2300513E-02  7.2439652E-03  2.4075333E-02
  7.4546872E-03  2.2315135E-02  3.2704172E-02  4.7424448E-02  7.3805000E-02  9.6677756E-02  5.9810443E-01  3.1432480E-01  5.3433841E-01  5.3075301E-02  3.2704172E-02  2.2315135E-02  7.4546872E-03  2.4470592E-02
  7.6537834E-03  2.2323507E-02  3.2584844E-02  4.7124825E-02  7.3261491E-02  9.5902323E-02  5.8878778E-01  3.1246971E-01  5.3191000E-01  5.2756439E-02  3.2584844E-02  2.2323507E-02  7.6537834E-03  2.4867770E-02
  7.8419279E-03  2.2326071E-02  3.2463095E-02  4.6827139E-02  7.2725602E-02  9.5139447E-02  5.7974624E-01  3.1064088E-01  5.2950401E-01  5.2439572E-02  3.2463095E-02  2.2326071E-02  7.8419279E-03  2.5266886E-02
  8.0197551E-03  2.2323247E-02  3.2339205E-02  4.6531515E-02  7.2197222E-02  9.4388862E-02  5.7096815E-01  3.0883778E-01  5.2712036E-01  5.2124851E-02  3.2339205E-02  2.2323247E-02  8.0197551E-03  2.5667962E-02
  0.0000000E+00  2.4000000E-09  5.2061697E-18  3.4273708E-02  8.5152651E-02  1.3302756E-01  1.3522775E+00  4.3084415E-01  6.6150554E-01  4.1072578E-02  5.2061697E-18  1.9000000E-09  0.0000000E+00  7.5931265E-03
  0.0000000E+00  2.4000000E-09  4.2411894E-03  3.6652755E-02  8.5221676E-02  1.3125859E-01  1.3251733E+00  4.2691645E-01  6.6191638E-01  4.3511792E-02  4.2411894E-03  1.9000000E-09  0.0000000E+00  7.8940216E-03
  0.0000000E+00  4.5000000E-09  7.6690028E-03  3.8556571E-02  8.5068817E-02  1.2947040E-01  1.2917705E+00  4.2218849E-01  6.6068108E-01  4.5454259E-02  7.6690028E-03  2.7000000E-09  0.0000000E+00  8.1819420E-03
  0.0000000E+00  4.2000000E-09  1.0473598E-02  4.0005697E-02  8.4717858E-02  1.2761721E-01  1.2565439E+00  4.1739752E-01  6.5860058E-01  4.6923476E-02  1.0473598E-02  2.7000000E-09  0.0000000E+00  8.4707632E-03
  0.0000000E+00  2.7000000E-09  1.2790631E-02  4.1106806E-02  8.4226214E-02  1.2574049E-01  1.2208222E+00  4.1260969E-01  6.5590454E-01  4.8030786E-02  1.2790631E-02  1.6000000E-09  0.0000000E+00  8.7604910E-03
  0.0000000E+00  3.3000000E-09  1.4720652E-02  4.1937981E-02  8.3634788E-02  1.2386758E-01  1.1854258E+00  4.0786940E-01  6.5276183E-01  4.8857738E-02  1.4720652E-02  4.1000000E-09  0.0000000E+00  9.0511314E-03
  0.0000000E+00  2.3000000E-09  1.6339381E-02  4.2557212E-02  8.2972949E-02  1.2201622E-01  1.1508509E+00  4.0320579E-01  6.4929734E-01  4.9464879E-02  1.6339381E-02  2.2000000E-09  0.0000000E+00  9.3426910E-03
  0.0000000E+00  5.8249752E-04  1.7703216E-02  4.3013731E-02  8.2276301E-02  1.2022052E-01  1.1160796E+00  3.9868012E-01  6.4563842E-01  4.9903463E-02  1.7703216E-02  5.8249752E-04  0.0000000E+00  9.6350863E-03
  0.0000000E+00  2.3465181E-03  1.8857401E-02  4.3344886E-02  8.1568476E-02  1.1850016E-01  1.0799219E+00  3.9432918E-01  6.4187955E-01  5.0212406E-02  1.8857401E-02  2.3465181E-03  0.0000000E+00  9.9282300E-03
  0.0000000E+00  3.8900299E-03  1.9840138E-02  4.3561736E-02  8.0824500E-02  1.1680101E-01  1.0455701E+00  3.9004850E-01  6.3798147E-01  5.0403524E-02  1.9840138E-02  3.8900299E-03  0.0000000E+00  1.0222359E-02
  0.0000000E+00  5.2459881E-03  2.0678556E-02  4.3685187E-02  8.0055911E-02  1.1512979E-01  1.0129674E+00  3.8584740E-01  6.3398547E-01  5.0498518E-02  2.0678556E-02  5.2459881E-03  0.0000000E+00  1.0517482E-02
  0.0000000E+00  6.4411483E-03  2.1394184E-02  4.3731499E-02  7.9270980E-02  1.1349048E-01  9.8202662E-01  3.8173128E-01  6.2992341E-01  5.0514225E-02  2.1394184E-02  6.4411483E-03  0.0000000E+00  1.0813605E-02
  0.0000000E+00  7.4980001E-03  2.2005319E-02  4.3714420E-02  7.8476777E-02  1.1188628E-01  9.5267127E-01  3.7770390E-01  6.2582115E-01  5.0464869E-02  2.2005319E-02  7.4980001E-03  0.0000000E+00  1.1110736E-02
  0.0000000E+00  8.4350235E-03  2.2526757E-02  4.3644770E-02  7.7678423E-02  1.1031882E-01  9.2481006E-01  3.7376691E-01  6.2169876E-01  5.0361693E-02  2.2526757E-02  8.4350235E-03  0.0000000E+00  1.1408882E-02
  0.0000000E+00  9.2676725E-03  2.2970753E-02  4.3531366E-02  7.6879819E-02  1.0878891E-01  8.9835051E-01  3.6992064E-01  6.1757216E-01  5.0213818E-02  2.2970753E-02  9.2676725E-03  0.0000000E+00  1.1708052E-02
  0.0000000E+00  1.0009340E-02  2.3348106E-02  4.3382000E-02  7.6084482E-02  1.0729723E-01  8.7321796E-01  3.6616498E-01  6.1345439E-01  5.0029289E-02  2.3348106E-02  1.0009340E-02  0.0000000E+00  1.2008253E-02
  0.0000000E+00  1.0671098E-02  2.3667475E-02  4.3202705E-02  7.5294800E-02  1.0584362E-01  8.4932687E-01  3.6249874E-01  6.0935548E-01  4.9814327E-02  2.3667475E-02  1.0671098E-02  0.0000000E+00  1.2309492E-02
  0.0000000E+00  1.1262319E-02  2.3936192E-02  4.2998460E-02  7.4512494E-02  1.0442753E-01  8.2659468E-01  3.5892017E-01  6.0528327E-01  4.9574103E-02  2.3936192E-02  1.1262319E-02  0.0000000E+00  1.2611777E-02
  0.0000000E+00  1.1791463E-02  2.4160955E-02  4.2773866E-02  7.3739379E-02  1.0304865E-01  8.0495880E-01  3.5542774E-01  6.0124442E-01  4.9313371E-02  2.4160955E-02  1.1791463E-02  0.0000000E+00  1.2915117E-02
  0.0000000E+00  1.2265458E-02  2.4347103E-02  4.2532433E-02  7.2976445E-02  1.0170609E-01  7.8434645E-01  3.5201915E-01  5.9724372E-01  4.9035734E-02  2.4347103E-02  1.2265458E-02  0.0000000E+00  1.3219519E-02
  0.0000000E+00  1.2690253E-02  2.4499188E-02  4.2277060E-02  7.2224402E-02  1.0039882E-01  7.6468885E-01  3.4869200E-01  5.9328492E-01  4.8744173E-02  2.4499188E-02  1.2690253E-02  0.0000000E+00  1.3524991E-02
  0.0000000E+00  1.3071416E-02  2.4621553E-02  4.2010598E-02  7.1484130E-02  9.9126164E-02  7.4593587E-01  3.4544421E-01  5.8937124E-01  4.8441655E-02  2.4621553E-02  1.3071416E-02  0.0000000E+00  1.3831542E-02
  0.0000000E+00  1.3413460E-02  2.4717589E-02  4.1735110E-02  7.0755939E-02  9.7886981E-02  7.2802778E-01  3.4227327E-01  5.8550477E-01  4.8130273E-02  2.4717589E-02  1.3413460E-02  0.0000000E+00  1.4139180E-02
  0.0000000E+00  1.3720426E-02  2.4790374E-02  4.1452449E-02  7.0040142E-02  9.6680257E-02  7.1091309E-01  3.3917677E-01  5.8168716E-01  4.7811960E-02  2.4790374E-02  1.3720426E-02  0.0000000E+00  1.4447913E-02
  0.0000000E+00  1.3995736E-02  2.4842431E-02  4.1164079E-02  6.9336752E-02  9.5504796E-02  6.9453895E-01  3.3615216E-01  5.7791937E-01  4.7488177E-02  2.4842431E-02  1.3995736E-02  0.0000000E+00  1.4757751E-02
  0.0000000E+00  1.4242777E-02  2.4876362E-02  4.0871585E-02  6.8646120E-02  9.4359842E-02  6.7887015E-01  3.3319735E-01  5.7420241E-01  4.7160584E-02  2.4876362E-02  1.4242777E-02  0.0000000E+00  1.5068701E-02
  8.4875417E-19  1.4464215E-02  2.4894108E-02  4.0576021E-02  6.7968128E-02  9.3244251E-02  6.6386097E-01  3.3030994E-01  5.7053660E-01  4.6830228E-02  2.4894108E-02  1.4464215E-02  8.4875417E-19  1.5380773E-02
  1.7286376E-04  1.4663144E-02  2.4898683E-02  4.0285196E-02  6.7297026E-02  9.2166114E-02  6.4899848E-01  3.2750154E-01  5.6692414E-01  4.6505069E-02  2.4898683E-02  1.4663144E-02  1.7286376E-04  1.5693215E-02
  6.2525686E-04  1.4841849E-02  2.4891819E-02  3.9991237E-02  6.6651297E-02  9.1115859E-02  6.3394922E-01  3.2476169E-01  5.6338408E-01  4.6177226E-02  2.4891819E-02  1.4841849E-02  6.2525686E-04  1.6005533E-02
  1.0473009E-03  1.5000823E-02  2.4872352E-02  3.9694715E-02  6.6014920E-02  9.0087929E-02  6.1952403E-01  3.2207415E-01  5.5988462E-01  4.5847112E-02  2.4872352E-02  1.5000823E-02  1.0473009E-03  1.6319219E-02
  1.4414170E-03  1.5142053E-02  2.4841851E-02  3.9396680E-02  6.5388277E-02  8.9082081E-02  6.0569595E-01  3.1943789E-01  5.5642635E-01  4.5515792E-02  2.4841851E-02  1.5142053E-02  1.4414170E-03  1.6634283E-02
  1.8097576E-03  1.5267000E-02  2.4801393E-02  3.9097681E-02  6.4771295E-02  8.8097668E-02  5.9242667E-01  3.1685151E-01  5.5300936E-01  4.5183834E-02  2.4801393E-02  1.5267000E-02  1.8097576E-03  1.6950741E-02
  2.1542888E-03  1.5377080E-02  2.4752031E-02  3.8798340E-02  6.4164007E-02  8.7134173E-02  5.7968482E-01  3.1431375E-01  5.4963368E-01  4.4851848E-02  2.4752031E-02  1.5377080E-02  2.1542888E-03  1.7268605E-02
  2.4767851E-03  1.5473568E-02  2.4694699E-02  3.8499140E-02  6.3566392E-02  8.6191054E-02  5.6744121E-01  3.1182339E-01  5.4629927E-01  4.4520358E-02  2.4694699E-02  1.5473568E-02  2.4767851E-03  1.7587889E-02
  2.7788586E-03  1.5557611E-02  2.4630259E-02  3.8200559E-02  6.2978420E-02  8.5267809E-02  5.5566863E-01  3.0937916E-01  5.4300594E-01  4.4189797E-02  2.4630259E-02  1.5557611E-02  2.7788586E-03  1.7908607E-02
  3.0619163E-03  1.5630127E-02  2.4559337E-02  3.7902833E-02  6.2399865E-02  8.4363757E-02  5.4433677E-01  3.0697972E-01  5.3975331E-01  4.3860450E-02  2.4559337E-02  1.5630127E-02  3.0619163E-03  1.8230773E-02
  3.3274499E-03  1.5692323E-02  2.4482873E-02  3.7606554E-02  6.1830910E-02  8.3478655E-02  5.3343167E-01  3.0462418E-01  5.3654133E-01  4.3532895E-02  2.4482873E-02  1.5692323E-02  3.3274499E-03  1.8554401E-02
  3.5766205E-03  1.5744937E-02  2.4401360E-02  3.7311888E-02  6.1271320E-02  8.2611865E-02  5.2292663E-01  3.0231124E-01  5.3336950E-01  4.3207303E-02  2.4401360E-02  1.5744937E-02  3.5766205E-03  1.8879506E-02
  3.8105605E-03  1.5788747E-02  2.4315354E-02  3.7019096E-02  6.0720980E-02  8.1762888E-02  5.1280108E-01  3.0003977E-01  5.3023738E-01  4.2883930E-02  2.4315354E-02  1.5788747E-02  3.8105605E-03  1.9206103E-02
  4.0303026E-03  1.5824474E-02  2.4225359E-02  3.6728385E-02  6.0179743E-02  8.0931232E-02  5.0303574E-01  2.9780868E-01  5.2714453E-01  4.2562983E-02  2.4225359E-02  1.5824474E-02  4.0303026E-03  1.9534207E-02
  4.2368048E-03  1.5852767E-02  2.4131831E-02  3.6439938E-02  5.9647480E-02  8.0116425E-02  4.9361259E-01  2.9561690E-01  5.2409044E-01  4.2244639E-02  2.4131831E-02  1.5852767E-02  4.2368048E-03  1.9863832E-02
  4.4309359E-03  1.5874219E-02  2.4035159E-02  3.6153908E-02  5.9124049E-02  7.9317998E-02  4.8451471E-01  2.9346339E-01  5.2107459E-01  4.1929066E-02  2.4035159E-02  1.5874219E-02  4.4309359E-03  2.0194996E-02
  4.6135116E-03  1.5889380E-02  2.3935737E-02  3.5870425E-02  5.8609295E-02  7.8535506E-02  4.7572629E-01  2.9134715E-01  5.1809646E-01  4.1616384E-02  2.3935737E-02  1.5889380E-02  4.6135116E-03  2.0527712E-02
  4.7851658E-03  1.5898610E-02  2.3833756E-02  3.5589475E-02  5.8102924E-02  7.7768368E-02  4.6722701E-01  2.8926704E-01  5.1515532E-01  4.1306576E-02  2.3833756E-02  1.5898610E-02  4.7851658E-03  2.0861997E-02
  4.9467881E-03  1.5902621E-02  2.3729788E-02  3.5311404E-02  5.7605039E-02  7.7016403E-02  4.5901340E-01  2.8722239E-01  5.1225088E-01  4.0999977E-02  2.3729788E-02  1.5902621E-02  4.9467881E-03  2.1197868E-02
  5.0989124E-03  1.5901709E-02  2.3623966E-02  3.5036157E-02  5.7115350E-02  7.6279086E-02  4.5106727E-01  2.8521215E-01  5.0938245E-01  4.0696543E-02  2.3623966E-02  1.5901709E-02  5.0989124E-03  2.1535340E-02
  5.2421300E-03  1.5896262E-02  2.3516550E-02  3.4763803E-02  5.6633701E-02  7.5556000E-02  4.4337625E-01  2.8323542E-01  5.0654941E-01  4.0396333E-02  2.3516550E-02  1.5896262E-02  5.2421300E-03  2.1874431E-02
  5.3769789E-03  1.5886633E-02  2.3407769E-02  3.4494386E-02  5.6159929E-02  7.4846762E-02  4.3592871E-01  2.8129134E-01  5.0375122E-01  4.0099380E-02  2.3407769E-02  1.5886633E-02  5.3769789E-03  2.2215157E-02
  5.5039782E-03  1.5873142E-02  2.3297822E-02  3.4227947E-02  5.5693878E-02  7.4150990E-02  4.2871370E-01  2.7937907E-01  5.0098724E-01  3.9805728E-02  2.3297822E-02  1.5873142E-02  5.5039782E-03  2.2557536E-02
  5.6235831E-03  1.5856091E-02  2.3186893E-02  3.3964500E-02  5.5235378E-02  7.3468307E-02  4.2172089E-01  2.7749779E-01  4.9825692E-01  3.9515386E-02  2.3186893E-02  1.5856091E-02  5.6235831E-03  2.2901586E-02
  0.0000000E+00  2.3000000E-09  4.1448285E-18  3.0129635E-02  7.3311493E-02  1.2027203E-01  1.1714958E+00  4.2730816E-01  6.8632956E-01  3.7888511E-02  4.1448285E-18  2.1000000E-09  0.0000000E+00  7.2743862E-03
  0.0000000E+00  2.3000000E-09  3.3766677E-03  3.1763145E-02  7.2946251E-02  1.1757129E-01  1.1354427E+00  4.2032421E-01  6.8218112E-01  3.9481598E-02  3.3766677E-03  2.1000000E-09  0.0000000E+00  7.5254272E-03
  0.0000000E+00  4.0000000E-09  6.0810300E-03  3.2944212E-02  7.2394672E-02  1.1494461E-01  1.0978658E+00  4.1347722E-01  6.7724568E-01  4.0610853E-02  6.0810300E-03  3.3000000E-09  0.0000000E+00  7.7775006E-03
  0.0000000E+00  3.5000000E-09  8.2737244E-03  3.3791125E-02  7.1726983E-02  1.1241043E-01  1.0602604E+00  4.0684391E-01  6.7185966E-01  4.1398564E-02  8.2737244E-03  3.2000000E-09  0.0000000E+00  8.0303581E-03
  0.0000000E+00  2.9000000E-09  1.0068577E-02  3.4386198E-02  7.0982983E-02  1.0997735E-01  1.0234726E+00  4.0044191E-01  6.6619123E-01  4.1929886E-02  1.0068577E-02  1.7000000E-09  0.0000000E+00  8.2840047E-03
  0.0000000E+00  4.1000000E-09  1.1549618E-02  3.4789263E-02  7.0190558E-02  1.0764801E-01  9.8797474E-01  3.9427774E-01  6.6036030E-01  4.2266499E-02  1.1549618E-02  3.1000000E-09  0.0000000E+00  8.5384456E-03
  0.0000000E+00  2.4000000E-09  1.2779809E-02  3.5044259E-02  6.9369194E-02  1.0542127E-01  9.5401022E-01  3.8835050E-01  6.5445186E-01  4.2453698E-02  1.2779809E-02  1.9000000E-09  0.0000000E+00  8.7936862E-03
  0.0000000E+00  4.5050089E-04  1.3806030E-02  3.5189762E-02  6.8545791E-02  1.0331690E-01  9.2066510E-01  3.8270427E-01  6.4857629E-01  4.2531486E-02  1.3806030E-02  4.5050089E-04  0.0000000E+00  9.0496480E-03
  0.0000000E+00  1.8098008E-03  1.4665744E-02  3.5254356E-02  6.7737250E-02  1.0134268E-01  8.8690445E-01  3.7735950E-01  6.4280927E-01  4.2529420E-02  1.4665744E-02  1.8098008E-03  0.0000000E+00  9.3062457E-03
  0.0000000E+00  2.9923165E-03  1.5389602E-02  3.5241616E-02  6.6916838E-02  9.9434966E-02  8.5512405E-01  3.7217901E-01  6.3705042E-01  4.2450231E-02  1.5389602E-02  2.9923165E-03  0.0000000E+00  9.5637013E-03
  0.0000000E+00  4.0251546E-03  1.5999863E-02  3.5167186E-02  6.6092245E-02  9.7593621E-02  8.2521115E-01  3.6716083E-01  6.3132561E-01  4.2309877E-02  1.5999863E-02  4.0251546E-03  0.0000000E+00  9.8220218E-03
  0.0000000E+00  4.9302183E-03  1.6513954E-02  3.5042916E-02  6.5268645E-02  9.5817007E-02  7.9703528E-01  3.6230078E-01  6.2565348E-01  4.2120461E-02  1.6513954E-02  4.9302183E-03  0.0000000E+00  1.0081213E-02
  0.0000000E+00  5.7258750E-03  1.6946768E-02  3.4878889E-02  6.4450468E-02  9.4103604E-02  7.7048683E-01  3.5759447E-01  6.2004834E-01  4.1892229E-02  1.6946768E-02  5.7258750E-03  0.0000000E+00  1.0341282E-02
  0.0000000E+00  6.4270106E-03  1.7310032E-02  3.4682709E-02  6.3640530E-02  9.2450966E-02  7.4544432E-01  3.5303632E-01  6.1452001E-01  4.1632887E-02  1.7310032E-02  6.4270106E-03  0.0000000E+00  1.0602234E-02
  0.0000000E+00  7.0464602E-03  1.7614005E-02  3.4461031E-02  6.2841399E-02  9.0857047E-02  7.2180926E-01  3.4862107E-01  6.0907604E-01  4.1349187E-02  1.7614005E-02  7.0464602E-03  0.0000000E+00  1.0864076E-02
  0.0000000E+00  7.5947331E-03  1.7866915E-02  3.4218946E-02  6.2054596E-02  8.9319299E-02  6.9947840E-01  3.4434288E-01  6.0372126E-01  4.1046273E-02  1.7866915E-02  7.5947331E-03  0.0000000E+00  1.1126817E-02
  0.0000000E+00  8.0806882E-03  1.8075628E-02  3.3960585E-02  6.1281188E-02  8.7835144E-02  6.7835442E-01  3.4019594E-01  5.9845880E-01  4.0728293E-02  1.8075628E-02  8.0806882E-03  0.0000000E+00  1.1390460E-02
  0.0000000E+00  8.5122026E-03  1.8246361E-02  3.3689750E-02  6.0522265E-02  8.6402437E-02  6.5836022E-01  3.3617495E-01  5.9329083E-01  4.0399083E-02  1.8246361E-02  8.5122026E-03  0.0000000E+00  1.1655014E-02
  0.0000000E+00  8.8956957E-03  1.8384003E-02  3.3409188E-02  5.9778250E-02  8.5018724E-02  6.3941272E-01  3.3227434E-01  5.8821812E-01  4.0061368E-02  1.8384003E-02  8.8956957E-03  0.0000000E+00  1.1920486E-02
  0.0000000E+00  9.2366598E-03  1.8492737E-02  3.3121192E-02  5.9049360E-02  8.3681607E-02  6.2143465E-01  3.2848873E-01  5.8324061E-01  3.9717442E-02  1.8492737E-02  9.2366598E-03  0.0000000E+00  1.2186882E-02
  0.0000000E+00  9.5401593E-03  1.8576474E-02  3.2827981E-02  5.8335966E-02  8.2389131E-02  6.0436703E-01  3.2481335E-01  5.7835809E-01  3.9369512E-02  1.8576474E-02  9.5401593E-03  0.0000000E+00  1.2454209E-02
  0.0000000E+00  9.8102798E-03  1.8638273E-02  3.2531103E-02  5.7637966E-02  8.1139111E-02  5.8814437E-01  3.2124323E-01  5.7356941E-01  3.9019100E-02  1.8638273E-02  9.8102798E-03  0.0000000E+00  1.2722476E-02
  0.0000000E+00  1.0050683E-02  1.8680868E-02  3.2231924E-02  5.6955310E-02  7.9929565E-02  5.7270984E-01  3.1777381E-01  5.6887331E-01  3.8667560E-02  1.8680868E-02  1.0050683E-02  0.0000000E+00  1.2991688E-02
  0.0000000E+00  1.0264409E-02  1.8706482E-02  3.1931448E-02  5.6287687E-02  7.8758472E-02  5.5800675E-01  3.1440055E-01  5.6426801E-01  3.8315865E-02  1.8706482E-02  1.0264409E-02  0.0000000E+00  1.3261854E-02
  0.0000000E+00  1.0454483E-02  1.8717413E-02  3.1630900E-02  5.5635128E-02  7.7624291E-02  5.4399530E-01  3.1111956E-01  5.5975204E-01  3.7965182E-02  1.8717413E-02  1.0454483E-02  0.0000000E+00  1.3532980E-02
  0.0000000E+00  1.0623234E-02  1.8715335E-02  3.1330906E-02  5.4997235E-02  7.6525203E-02  5.3062729E-01  3.0792677E-01  5.5532334E-01  3.7616160E-02  1.8715335E-02  1.0623234E-02  0.0000000E+00  1.3805074E-02
  6.2364584E-19  1.0772838E-02  1.8701822E-02  3.1032168E-02  5.4373725E-02  7.5459611E-02  5.1786188E-01  3.0481844E-01  5.5097993E-01  3.7269431E-02  1.8701822E-02  1.0772838E-02  6.2364584E-19  1.4078144E-02
  1.2701647E-04  1.0905684E-02  1.8679172E-02  3.0741111E-02  5.3759171E-02  7.4434039E-02  5.0529846E-01  3.0180462E-01  5.4672451E-01  3.6931530E-02  1.8679172E-02  1.0905684E-02  1.2701647E-04  1.4351502E-02
  4.5879840E-04  1.1023417E-02  1.8648564E-02  3.0450387E-02  5.3169369E-02  7.3439332E-02  4.9267068E-01  2.9887465E-01  5.4257182E-01  3.6595097E-02  1.8648564E-02  1.1023417E-02  4.5879840E-04  1.4624688E-02
  7.6749578E-04  1.1126741E-02  1.8609391E-02  3.0160787E-02  5.2590652E-02  7.2470404E-02  4.8060493E-01  2.9601053E-01  5.3848667E-01  3.6260625E-02  1.8609391E-02  1.1126741E-02  7.6749578E-04  1.4899064E-02
  1.0549819E-03  1.1216904E-02  1.8562528E-02  2.9872640E-02  5.2022805E-02  7.1526276E-02  4.6906309E-01  2.9320995E-01  5.3446780E-01  3.5928431E-02  1.8562528E-02  1.1216904E-02  1.0549819E-03  1.5174641E-02
  1.3229234E-03  1.1295099E-02  1.8508864E-02  2.9586348E-02  5.1465710E-02  7.0606067E-02  4.5801379E-01  2.9047081E-01  5.3051399E-01  3.5598894E-02  1.8508864E-02  1.1295099E-02  1.3229234E-03  1.5451430E-02
  1.5728516E-03  1.1362419E-02  1.8449185E-02  2.9302230E-02  5.0919194E-02  6.9708956E-02  4.4742798E-01  2.8779110E-01  5.2662401E-01  3.5272303E-02  1.8449185E-02  1.1362419E-02  1.5728516E-03  1.5729443E-02
  1.8061603E-03  1.1419846E-02  1.8384197E-02  2.9020564E-02  5.0383116E-02  6.8834152E-02  4.3727876E-01  2.8516886E-01  5.2279658E-01  3.4948938E-02  1.8384197E-02  1.1419846E-02  1.8061603E-03  1.6008692E-02
  2.0240321E-03  1.1468121E-02  1.8314405E-02  2.8741451E-02  4.9857157E-02  6.7980748E-02  4.2753647E-01  2.8260209E-01  5.1903031E-01  3.4628872E-02  1.8314405E-02  1.1468121E-02  2.0240321E-03  1.6289190E-02
  2.2277193E-03  1.1508283E-02  1.8240597E-02  2.8465319E-02  4.9341360E-02  6.7148245E-02  4.1818695E-01  2.8008925E-01  5.1532416E-01  3.4312497E-02  1.8240597E-02  1.1508283E-02  2.2277193E-03  1.6570947E-02
  2.4182132E-03  1.1540936E-02  1.8163171E-02  2.8192203E-02  4.8835430E-02  6.6335816E-02  4.0920435E-01  2.7762847E-01  5.1167670E-01  3.3999850E-02  1.8163171E-02  1.1540936E-02  2.4182132E-03  1.6853977E-02
  2.5964696E-03  1.1566730E-02  1.8082564E-02  2.7922230E-02  4.8339151E-02  6.5542775E-02  4.0056860E-01  2.7521812E-01  5.0808668E-01  3.3691044E-02  1.8082564E-02  1.1566730E-02  2.5964696E-03  1.7138292E-02
  2.7633511E-03  1.1586257E-02  1.7999194E-02  2.7655500E-02  4.7852309E-02  6.4768455E-02  3.9226106E-01  2.7285656E-01  5.0455280E-01  3.3386156E-02  1.7999194E-02  1.1586257E-02  2.7633511E-03  1.7423906E-02
  2.9196569E-03  1.1600051E-02  1.7913408E-02  2.7392108E-02  4.7374705E-02  6.4012227E-02  3.8426430E-01  2.7054227E-01  5.0107380E-01  3.3085244E-02  1.7913408E-02  1.1600051E-02  2.9196569E-03  1.7710831E-02
  3.0661048E-03  1.1608595E-02  1.7825528E-02  2.7132084E-02  4.6906127E-02  6.3273478E-02  3.7656209E-01  2.6827377E-01  4.9764847E-01  3.2788339E-02  1.7825528E-02  1.1608595E-02  3.0661048E-03  1.7999080E-02
  3.2032949E-03  1.1612225E-02  1.7735746E-02  2.6875369E-02  4.6446255E-02  6.2551517E-02  3.6913444E-01  2.6604955E-01  4.9427543E-01  3.2495375E-02  1.7735746E-02  1.1612225E-02  3.2032949E-03  1.8288667E-02
  3.3319984E-03  1.1611570E-02  1.7644534E-02  2.6622224E-02  4.5995101E-02  6.1845997E-02  3.6197641E-01  2.6386844E-01  4.9095375E-01  3.2206570E-02  1.7644534E-02  1.1611570E-02  3.3319984E-03  1.8579605E-02
  3.4527009E-03  1.1606883E-02  1.7552025E-02  2.6372543E-02  4.5552349E-02  6.1156275E-02  3.5507024E-01  2.6172905E-01  4.8768211E-01  3.1921828E-02  1.7552025E-02  1.1606883E-02  3.4527009E-03  1.8871908E-02
  3.5659317E-03  1.1598512E-02  1.7458434E-02  2.6126337E-02  4.5117796E-02  6.0481836E-02  3.4840348E-01  2.5963010E-01  4.8445938E-01  3.1641135E-02  1.7458434E-02  1.1598512E-02  3.5659317E-03  1.9165591E-02
  3.6721670E-03  1.1586760E-02  1.7363947E-02  2.5883606E-02  4.4691249E-02  5.9822184E-02  3.4196446E-01  2.5757041E-01  4.8128443E-01  3.1364473E-02  1.7363947E-02  1.1586760E-02  3.6721670E-03  1.9460667E-02
  3.7718587E-03  1.1571909E-02  1.7268739E-02  2.5644336E-02  4.4272508E-02  5.9176841E-02  3.3574222E-01  2.5554879E-01  4.7815616E-01  3.1091809E-02  1.7268739E-02  1.1571909E-02  3.7718587E-03  1.9757153E-02
  3.8654135E-03  1.1554216E-02  1.7172962E-02  2.5408502E-02  4.3861377E-02  5.8545344E-02  3.2972648E-01  2.5356414E-01  4.7507349E-01  3.0823123E-02  1.7172962E-02  1.1554216E-02  3.8654135E-03  2.0055059E-02
  3.9532114E-03  1.1533927E-02  1.7076759E-02  2.5176093E-02  4.3457675E-02  5.7927268E-02  3.2390756E-01  2.5161538E-01  4.7203537E-01  3.0558375E-02  1.7076759E-02  1.1533927E-02  3.9532114E-03  2.0354405E-02
  4.0355213E-03  1.1511144E-02  1.6980141E-02  2.4946962E-02  4.3061103E-02  5.7322075E-02  3.1827156E-01  2.4970137E-01  4.6904067E-01  3.0297400E-02  1.6980141E-02  1.1511144E-02  4.0355213E-03  2.0655204E-02
  0.0000000E+00  4.0000000E-09  3.3408263E-18  2.6169688E-02  6.3529844E-02  1.0733065E-01  1.0163863E+00  4.2085031E-01  7.0449350E-01  3.4519059E-02  3.3408263E-18  2.9000000E-09  0.0000000E+00  6.9231470E-03
  0.0000000E+00  4.0000000E-09  2.7215577E-03  2.7192797E-02  6.2808929E-02  1.0400635E-01  9.7821605E-01  4.1167741E-01  6.9633412E-01  3.5412318E-02  2.7215577E-03  2.9000000E-09  0.0000000E+00  7.1449551E-03
  0.0000000E+00  4.2000000E-09  4.8822877E-03  2.7875793E-02  6.2041868E-02  1.0087026E-01  9.3925305E-01  4.0295955E-01  6.8783134E-01  3.5964229E-02  4.8822877E-03  3.0000000E-09  0.0000000E+00  7.3650872E-03
  0.0000000E+00  3.4000000E-09  6.6187435E-03  2.8314210E-02  6.1208751E-02  9.7943714E-02  9.0139693E-01  3.9472133E-01  6.7929144E-01  3.6275612E-02  6.6187435E-03  3.1000000E-09  0.0000000E+00  7.5858994E-03
  0.0000000E+00  2.3000000E-09  8.0272955E-03  2.8571835E-02  6.0338796E-02  9.5209048E-02  8.6516534E-01  3.8693092E-01  6.7081415E-01  3.6410762E-02  8.0272955E-03  1.3000000E-09  0.0000000E+00  7.8073969E-03
  0.0000000E+00  3.8000000E-09  9.1787212E-03  2.8694455E-02  5.9451873E-02  9.2649311E-02  8.3079617E-01  3.7955675E-01  6.6246530E-01  3.6415712E-02  9.1787212E-03  2.5000000E-09  0.0000000E+00  8.0295835E-03
  0.0000000E+00  2.0000000E-09  1.0125878E-02  2.8715385E-02  5.8561422E-02  9.0248747E-02  7.9836487E-01  3.7256811E-01  6.5428667E-01  3.6323763E-02  1.0125878E-02  1.9000000E-09  0.0000000E+00  8.2524636E-03
  0.0000000E+00  3.5309712E-04  1.0908050E-02  2.8664860E-02  5.7688381E-02  8.8015263E-02  7.6705198E-01  3.6599129E-01  6.4636826E-01  3.6165883E-02  1.0908050E-02  3.5309712E-04  0.0000000E+00  8.4759633E-03
  0.0000000E+00  1.4146968E-03  1.1556456E-02  2.8564747E-02  5.6845297E-02  8.5947292E-02  7.3595194E-01  3.5983034E-01  6.3876443E-01  3.5964241E-02  1.1556456E-02  1.4146968E-03  0.0000000E+00  8.7000009E-03
  0.0000000E+00  2.3330796E-03  1.2096090E-02  2.8413766E-02  5.6005500E-02  8.3976093E-02  7.0688098E-01  3.5391858E-01  6.3131493E-01  3.5715276E-02  1.2096090E-02  2.3330796E-03  0.0000000E+00  8.9247832E-03
  0.0000000E+00  3.1307135E-03  1.2545308E-02  2.8223541E-02  5.5174136E-02  8.2096355E-02  6.7969280E-01  3.4824319E-01  6.2402948E-01  3.5430529E-02  1.2545308E-02  3.1307135E-03  0.0000000E+00  9.1503155E-03
  0.0000000E+00  3.8256860E-03  1.2918396E-02  2.8002705E-02  5.4354397E-02  8.0302333E-02  6.5423472E-01  3.4279103E-01  6.1691298E-01  3.5118470E-02  1.2918396E-02  3.8256860E-03  0.0000000E+00  9.3766034E-03
  0.0000000E+00  4.4331459E-03  1.3227550E-02  2.7758576E-02  5.3548977E-02  7.8589036E-02  6.3037807E-01  3.3754993E-01  6.0996772E-01  3.4786309E-02  1.3227550E-02  4.4331459E-03  0.0000000E+00  9.6036528E-03
  0.0000000E+00  4.9652841E-03  1.3482283E-02  2.7496499E-02  5.2759326E-02  7.6951257E-02  6.0798988E-01  3.3250788E-01  6.0319336E-01  3.4439240E-02  1.3482283E-02  4.9652841E-03  0.0000000E+00  9.8314691E-03
  0.0000000E+00  5.4325970E-03  1.3690928E-02  2.7221189E-02  5.1986787E-02  7.5384555E-02  5.8696104E-01  3.2765389E-01  5.9658831E-01  3.4081841E-02  1.3690928E-02  5.4325970E-03  0.0000000E+00  1.0060058E-02
  0.0000000E+00  5.8436556E-03  1.3860112E-02  2.6936151E-02  5.1231920E-02  7.3884432E-02  5.6718230E-01  3.2297733E-01  5.9014957E-01  3.3717470E-02  1.3860112E-02  5.8436556E-03  0.0000000E+00  1.0289425E-02
  0.0000000E+00  6.2056538E-03  1.3995359E-02  2.6644146E-02  5.0495003E-02  7.2446727E-02  5.4855265E-01  3.1846819E-01  5.8387335E-01  3.3348758E-02  1.3995359E-02  6.2056538E-03  0.0000000E+00  1.0519576E-02
  0.0000000E+00  6.5249589E-03  1.4101631E-02  2.6347758E-02  4.9776356E-02  7.1067857E-02  5.3099058E-01  3.1411746E-01  5.7775565E-01  3.2978158E-02  1.4101631E-02  6.5249589E-03  0.0000000E+00  1.0750517E-02
  0.0000000E+00  6.8067587E-03  1.4182823E-02  2.6048738E-02  4.9075833E-02  6.9744209E-02  5.1441201E-01  3.0991641E-01  5.7179185E-01  3.2607315E-02  1.4182823E-02  6.8067587E-03  0.0000000E+00  1.0982254E-02
  0.0000000E+00  7.0555656E-03  1.4242361E-02  2.5748639E-02  4.8393248E-02  6.8472526E-02  4.9874328E-01  3.0585695E-01  5.6597719E-01  3.2237626E-02  1.4242361E-02  7.0555656E-03  0.0000000E+00  1.1214794E-02
  0.0000000E+00  7.2751414E-03  1.4283012E-02  2.5448555E-02  4.7728190E-02  6.7249643E-02  4.8391290E-01  3.0193148E-01  5.6030675E-01  3.1870103E-02  1.4283012E-02  7.2751414E-03  0.0000000E+00  1.1448141E-02
  0.0000000E+00  7.4690422E-03  1.4307503E-02  2.5149733E-02  4.7080522E-02  6.6072998E-02  4.6986754E-01  2.9813317E-01  5.5477589E-01  3.1505874E-02  1.4307503E-02  7.4690422E-03  0.0000000E+00  1.1682303E-02
  0.0000000E+00  7.6400904E-03  1.4317845E-02  2.4852831E-02  4.6449747E-02  6.4939881E-02  4.5654757E-01  2.9445539E-01  5.4937973E-01  3.1145523E-02  1.4317845E-02  7.6400904E-03  0.0000000E+00  1.1917285E-02
  0.0000000E+00  7.7908020E-03  1.4315890E-02  2.4558522E-02  4.5835417E-02  6.3847856E-02  4.4390188E-01  2.9089201E-01  5.4411353E-01  3.0789601E-02  1.4315890E-02  7.7908020E-03  0.0000000E+00  1.2153094E-02
  0.0000000E+00  7.9232573E-03  1.4303103E-02  2.4267181E-02  4.5236943E-02  6.2794572E-02  4.3187954E-01  2.8743721E-01  5.3897258E-01  3.0438406E-02  1.4303103E-02  7.9232573E-03  0.0000000E+00  1.2389737E-02
  0.0000000E+00  8.0396305E-03  1.4281102E-02  2.3979457E-02  4.4654098E-02  6.1778172E-02  4.2044566E-01  2.8408590E-01  5.3395267E-01  3.0092516E-02  1.4281102E-02  8.0396305E-03  0.0000000E+00  1.2627219E-02
  4.6538182E-19  8.1414937E-03  1.4250969E-02  2.3695530E-02  4.4086258E-02  6.0796578E-02  4.0955734E-01  2.8083295E-01  5.2904931E-01  2.9752029E-02  1.4250969E-02  8.1414937E-03  4.6538182E-19  1.2865547E-02
  9.4783216E-05  8.2307317E-03  1.4214498E-02  2.3420816E-02  4.3528330E-02  5.9855058E-02  3.9889692E-01  2.7768703E-01  5.2426536E-01  2.9422422E-02  1.4214498E-02  8.2307317E-03  9.4783216E-05  1.3104092E-02
  3.4193535E-04  8.3087197E-03  1.4172669E-02  2.3148651E-02  4.2994255E-02  5.8945208E-02  3.8825576E-01  2.7463746E-01  5.1961199E-01  2.9096995E-02  1.4172669E-02  8.3087197E-03  3.4193535E-04  1.3342430E-02
  5.7126316E-04  8.3757202E-03  1.4124672E-02  2.2879412E-02  4.2471624E-02  5.8061883E-02  3.7810378E-01  2.7166419E-01  5.1505019E-01  2.8775755E-02  1.4124672E-02  8.3757202E-03  5.7126316E-04  1.3581799E-02
  7.8428325E-04  8.4329962E-03  1.4071467E-02  2.2613548E-02  4.1960406E-02  5.7204190E-02  3.6841776E-01  2.6876451E-01  5.1057764E-01  2.8459086E-02  1.4071467E-02  8.4329962E-03  7.8428325E-04  1.3822210E-02
  9.8229556E-04  8.4813832E-03  1.4013624E-02  2.2351134E-02  4.1460277E-02  5.6370995E-02  3.5916502E-01  2.6593550E-01  5.0619167E-01  2.8147025E-02  1.4013624E-02  8.4813832E-03  9.8229556E-04  1.4063674E-02
  1.1665206E-03  8.5217275E-03  1.3951741E-02  2.2092318E-02  4.0970973E-02  5.5561285E-02  3.5031898E-01  2.6317450E-01  5.0188983E-01  2.7839691E-02  1.3951741E-02  8.5217275E-03  1.1665206E-03  1.4306200E-02
  1.3380209E-03  8.5547707E-03  1.3886337E-02  2.1837212E-02  4.0492224E-02  5.4774099E-02  3.4185507E-01  2.6047896E-01  4.9766969E-01  2.7537141E-02  1.3886337E-02  8.5547707E-03  1.3380209E-03  1.4549798E-02
  1.4978018E-03  8.5811978E-03  1.3817881E-02  2.1585892E-02  4.0023774E-02  5.4008542E-02  3.3375059E-01  2.5784646E-01  4.9352896E-01  2.7239420E-02  1.3817881E-02  8.5811978E-03  1.4978018E-03  1.4794478E-02
  1.6466855E-03  8.6015112E-03  1.3746680E-02  2.1338319E-02  3.9565247E-02  5.3263649E-02  3.2598021E-01  2.5527459E-01  4.8946525E-01  2.6946437E-02  1.3746680E-02  8.6015112E-03  1.6466855E-03  1.5040253E-02
  1.7855873E-03  8.6164598E-03  1.3673307E-02  2.1094713E-02  3.9116616E-02  5.2538811E-02  3.1853265E-01  2.5276136E-01  4.8547653E-01  2.6658404E-02  1.3673307E-02  8.6164598E-03  1.7855873E-03  1.5287131E-02
  1.9152130E-03  8.6264553E-03  1.3598003E-02  2.0855025E-02  3.8677496E-02  5.1833139E-02  3.1138588E-01  2.5030459E-01  4.8156059E-01  2.6375201E-02  1.3598003E-02  8.6264553E-03  1.9152130E-03  1.5535125E-02
  2.0362264E-03  8.6319339E-03  1.3521045E-02  2.0619239E-02  3.8247628E-02  5.1145903E-02  3.0452308E-01  2.4790228E-01  4.7771537E-01  2.6096814E-02  1.3521045E-02  8.6319339E-03  2.0362264E-03  1.5784245E-02
  2.1492490E-03  8.6333093E-03  1.3442708E-02  2.0387349E-02  3.7826773E-02  5.0476392E-02  2.9792862E-01  2.4555253E-01  4.7393885E-01  2.5823198E-02  1.3442708E-02  8.6333093E-03  2.1492490E-03  1.6034502E-02
  2.2548445E-03  8.6309459E-03  1.3363214E-02  2.0159323E-02  3.7414686E-02  4.9823943E-02  2.9158793E-01  2.4325351E-01  4.7022912E-01  2.5554278E-02  1.3363214E-02  8.6309459E-03  2.2548445E-03  1.6285908E-02
  2.3535357E-03  8.6251782E-03  1.3282779E-02  1.9935158E-02  3.7011121E-02  4.9187922E-02  2.8548744E-01  2.4100352E-01  4.6658429E-01  2.5290029E-02  1.3282779E-02  8.6251782E-03  2.3535357E-03  1.6538475E-02
  2.4457147E-03  8.6162103E-03  1.3201481E-02  1.9714688E-02  3.6615718E-02  4.8567588E-02  2.7961019E-01  2.3880079E-01  4.6300246E-01  2.5030273E-02  1.3201481E-02  8.6162103E-03  2.4457147E-03  1.6792214E-02
  2.5319754E-03  8.6045217E-03  1.3119690E-02  1.9498087E-02  3.6228496E-02  4.7962610E-02  2.7395266E-01  2.3664393E-01  4.5948207E-01  2.4775140E-02  1.3119690E-02  8.6045217E-03  2.5319754E-03  1.7047137E-02
  2.6126376E-03  8.5902640E-03  1.3037460E-02  1.9285213E-02  3.5849070E-02  4.7372291E-02  2.6849981E-01  2.3453134E-01  4.5602135E-01  2.4524464E-02  1.3037460E-02  8.5902640E-03  2.6126376E-03  1.7303257E-02
  2.6880808E-03  8.5736691E-03  1.2954921E-02  1.9076009E-02  3.5477282E-02  4.6796147E-02  2.6324126E-01  2.3246160E-01  4.5261865E-01  2.4278174E-02  1.2954921E-02  8.5736691E-03  2.6880808E-03  1.7560585E-02
  2.7586433E-03  8.5549514E-03  1.2872188E-02  1.8870411E-02  3.5112880E-02  4.6233646E-02  2.5816735E-01  2.3043330E-01  4.4927240E-01  2.4036191E-02  1.2872188E-02  8.5549514E-03  2.7586433E-03  1.7819135E-02
  2.8246425E-03  8.5342911E-03  1.2789376E-02  1.8668383E-02  3.4755671E-02  4.5684319E-02  2.5326899E-01  2.2844514E-01  4.4598110E-01  2.3798428E-02  1.2789376E-02  8.5342911E-03  2.8246425E-03  1.8078919E-02
  2.8863689E-03  8.5118748E-03  1.2706567E-02  1.8469840E-02  3.4405446E-02  4.5147709E-02  2.4853768E-01  2.2649585E-01  4.4274325E-01  2.3564818E-02  1.2706567E-02  8.5118748E-03  2.8863689E-03  1.8339950E-02
  2.9440905E-03  8.4878576E-03  1.2623857E-02  1.8274739E-02  3.4062028E-02  4.4623377E-02  2.4396540E-01  2.2458421E-01  4.3955744E-01  2.3335263E-02  1.2623857E-02  8.4878576E-03  2.9440905E-03  1.8602241E-02
  0.0000000E+00  2.8000000E-09  2.7199785E-18  2.2439883E-02  5.5408393E-02  9.4472015E-02  8.8610746E-01  4.1185947E-01  7.1646071E-01  3.1066903E-02  2.7199785E-18  4.0000000E-09  0.0000000E+00  6.5600651E-03
  0.0000000E+00  2.8000000E-09  2.2158853E-03  2.3024070E-02  5.4565810E-02  9.0759324E-02  8.4671256E-01  4.0079979E-01  7.0440408E-01  3.1443312E-02  2.2158853E-03  4.0000000E-09  0.0000000E+00  6.7522191E-03
  0.0000000E+00  4.6000000E-09  3.9593340E-03  2.3359171E-02  5.3657898E-02  8.7383026E-02  8.0813978E-01  3.9052120E-01  6.9256781E-01  3.1586858E-02  3.9593340E-03  5.2000000E-09  0.0000000E+00  6.9454411E-03
  0.0000000E+00  5.2000000E-09  5.3478235E-03  2.3517398E-02  5.2721651E-02  8.4295213E-02  7.7130690E-01  3.8095440E-01  6.8110329E-01  3.1566834E-02  5.3478235E-03  5.1000000E-09  0.0000000E+00  7.1392573E-03
  0.0000000E+00  2.2000000E-09  6.4636848E-03  2.3548152E-02  5.1778037E-02  8.1458977E-02  7.3653115E-01  3.7202421E-01  6.7004064E-01  3.1431386E-02  6.4636848E-03  4.2000000E-09  0.0000000E+00  7.3336708E-03
  0.0000000E+00  4.4000000E-09  7.3671030E-03  2.3486451E-02  5.0840732E-02  7.8843298E-02  7.0391104E-01  3.6366559E-01  6.5939108E-01  3.1214249E-02  7.3671030E-03  4.7000000E-09  0.0000000E+00  7.5286858E-03
  0.0000000E+00  2.6000000E-09  8.1027759E-03  2.3357347E-02  4.9918424E-02  7.6421892E-02  6.7342370E-01  3.5582152E-01  6.4915275E-01  3.0939489E-02  8.1027759E-03  3.5000000E-09  0.0000000E+00  7.7243059E-03
  0.0000000E+00  2.7951043E-04  8.7039015E-03  2.3184563E-02  4.9027436E-02  7.4193643E-02  6.4434357E-01  3.4850220E-01  6.3939382E-01  3.0630863E-02  8.7039015E-03  2.7951043E-04  0.0000000E+00  7.9204612E-03
  0.0000000E+00  1.1169032E-03  9.1967317E-03  2.2984685E-02  4.8176872E-02  7.2150011E-02  6.1588110E-01  3.4169680E-01  6.3014635E-01  3.0304691E-02  9.1967317E-03  1.1169032E-03  0.0000000E+00  8.1170735E-03
  0.0000000E+00  1.8372882E-03  9.6017539E-03  2.2753206E-02  4.7340469E-02  7.0220894E-02  5.8942233E-01  3.3521370E-01  6.2119363E-01  2.9953117E-02  9.6017539E-03  1.8372882E-03  0.0000000E+00  8.3143357E-03
  0.0000000E+00  2.4594688E-03  9.9342939E-03  2.2498734E-02  4.6521490E-02  6.8397450E-02  5.6480591E-01  3.2903057E-01  6.1252928E-01  2.9584292E-02  9.9342939E-03  2.4594688E-03  0.0000000E+00  8.5122524E-03
  0.0000000E+00  2.9984688E-03  1.0206092E-02  2.2227384E-02  4.5721551E-02  6.6671078E-02  5.4186841E-01  3.2312632E-01  6.0414452E-01  2.9203888E-02  1.0206092E-02  2.9984688E-03  0.0000000E+00  8.7108279E-03
  0.0000000E+00  3.4668838E-03  1.0427239E-02  2.1944424E-02  4.4942097E-02  6.5034524E-02  5.2047368E-01  3.1748199E-01  5.9602990E-01  2.8816805E-02  1.0427239E-02  3.4668838E-03  0.0000000E+00  8.9100680E-03
  0.0000000E+00  3.8747742E-03  1.0605499E-02  2.1653496E-02  4.4183514E-02  6.3480712E-02  5.0048379E-01  3.1207978E-01  5.8817483E-01  2.8426307E-02  1.0605499E-02  3.8747742E-03  0.0000000E+00  9.1099771E-03
  0.0000000E+00  4.2308115E-03  1.0747717E-02  2.1357883E-02  4.3446275E-02  6.2003687E-02  4.8178654E-01  3.0690378E-01  5.8056893E-01  2.8035379E-02  1.0747717E-02  4.2308115E-03  0.0000000E+00  9.3105596E-03
  0.0000000E+00  4.5420213E-03  1.0859243E-02  2.1059867E-02  4.2730220E-02  6.0597714E-02  4.6427095E-01  3.0193911E-01  5.7320147E-01  2.7645981E-02  1.0859243E-02  4.5420213E-03  0.0000000E+00  9.5118216E-03
  0.0000000E+00  4.8142631E-03  1.0944512E-02  2.0761195E-02  4.2034987E-02  5.9257614E-02  4.4783538E-01  2.9717209E-01  5.6606196E-01  2.7259615E-02  1.0944512E-02  4.8142631E-03  0.0000000E+00  9.7137672E-03
  0.0000000E+00  5.0527611E-03  1.1007575E-02  2.0463557E-02  4.1360413E-02  5.7978966E-02  4.3239854E-01  2.9259051E-01  5.5914038E-01  2.6877718E-02  1.1007575E-02  5.0527611E-03  0.0000000E+00  9.9164023E-03
  0.0000000E+00  5.2617313E-03  1.1051537E-02  2.0168013E-02  4.0705910E-02  5.6757471E-02  4.1787713E-01  2.8818285E-01  5.5242691E-01  2.6501116E-02  1.1051537E-02  5.2617313E-03  0.0000000E+00  1.0119731E-02
  0.0000000E+00  5.4447124E-03  1.1079007E-02  1.9875326E-02  4.0070791E-02  5.5589162E-02  4.0419498E-01  2.8393848E-01  5.4591201E-01  2.6130392E-02  1.1079007E-02  5.4447124E-03  0.0000000E+00  1.0323760E-02
  0.0000000E+00  5.6050246E-03  1.1092493E-02  1.9586386E-02  3.9454685E-02  5.4470753E-02  3.9129326E-01  2.7984796E-01  5.3958693E-01  2.5766255E-02  1.1092493E-02  5.6050246E-03  0.0000000E+00  1.0528494E-02
  0.0000000E+00  5.7452848E-03  1.1093862E-02  1.9301635E-02  3.8856855E-02  5.3398942E-02  3.7910931E-01  2.7590227E-01  5.3344302E-01  2.5408944E-02  1.1093862E-02  5.7452848E-03  0.0000000E+00  1.0733938E-02
  0.0000000E+00  5.8678210E-03  1.1084803E-02  1.9021469E-02  3.8276697E-02  5.2370810E-02  3.6758909E-01  2.7209317E-01  5.2747215E-01  2.5058716E-02  1.1084803E-02  5.8678210E-03  0.0000000E+00  1.0940097E-02
  0.0000000E+00  5.9745523E-03  1.1066642E-02  1.8746049E-02  3.7713436E-02  5.1383534E-02  3.5667980E-01  2.6841299E-01  5.2166655E-01  2.4715600E-02  1.1066642E-02  5.9745523E-03  0.0000000E+00  1.1146978E-02
  0.0000000E+00  6.0674283E-03  1.1040820E-02  1.8475804E-02  3.7166652E-02  5.0434847E-02  3.4634371E-01  2.6485488E-01  5.1601913E-01  2.4379866E-02  1.1040820E-02  6.0674283E-03  0.0000000E+00  1.1354585E-02
  0.0000000E+00  6.1478903E-03  1.1008316E-02  1.8210752E-02  3.6635658E-02  4.9522391E-02  3.3653686E-01  2.6141223E-01  5.1052290E-01  2.4051438E-02  1.1008316E-02  6.1478903E-03  0.0000000E+00  1.1562924E-02
  3.5112944E-19  6.2172953E-03  1.0970058E-02  1.7950998E-02  3.6119823E-02  4.8644061E-02  3.2722211E-01  2.5807899E-01  5.0517132E-01  2.3730283E-02  1.0970058E-02  6.2172953E-03  3.5112944E-19  1.1772002E-02
  7.1513704E-05  6.2771137E-03  1.0927437E-02  1.7701063E-02  3.5614352E-02  4.7804113E-02  3.1814461E-01  2.5486252E-01  4.9996707E-01  2.3420993E-02  1.0927437E-02  6.2771137E-03  7.1513704E-05  1.1981241E-02
  2.5766172E-04  6.3283088E-03  1.0881096E-02  1.7454736E-02  3.5131427E-02  4.6994620E-02  3.0913217E-01  2.5175189E-01  4.9491793E-01  2.3117271E-02  1.0881096E-02  6.3283088E-03  2.5766172E-04  1.2190249E-02
  4.2996066E-04  6.3713917E-03  1.0830645E-02  1.7212687E-02  3.4660311E-02  4.6211263E-02  3.0055951E-01  2.4872621E-01  4.8998226E-01  2.2819366E-02  1.0830645E-02  6.3713917E-03  4.2996066E-04  1.2400157E-02
  5.8958978E-04  6.4070921E-03  1.0776559E-02  1.6974892E-02  3.4200595E-02  4.5452731E-02  2.9239449E-01  2.4578176E-01  4.8515602E-01  2.2527178E-02  1.0776559E-02  6.4070921E-03  5.8958978E-04  1.2610974E-02
  7.3759343E-04  6.4361357E-03  1.0719354E-02  1.6741387E-02  3.3751928E-02  4.4717892E-02  2.8461075E-01  2.4291514E-01  4.8043546E-01  2.2240700E-02  1.0719354E-02  6.4361357E-03  7.3759343E-04  1.2822709E-02
  8.7493214E-04  6.4591816E-03  1.0659476E-02  1.6512220E-02  3.3314014E-02  4.4005672E-02  2.7718404E-01  2.4012314E-01  4.7581697E-01  2.1959884E-02  1.0659476E-02  6.4591816E-03  8.7493214E-04  1.3035370E-02
  1.0024630E-03  6.4768205E-03  1.0597318E-02  1.6287374E-02  3.2886519E-02  4.3315056E-02  2.7009203E-01  2.3740272E-01  4.7129706E-01  2.1684692E-02  1.0597318E-02  6.4768205E-03  1.0024630E-03  1.3248968E-02
  1.1209093E-03  6.4894660E-03  1.0533118E-02  1.6066724E-02  3.2469035E-02  4.2644987E-02  2.6331016E-01  2.3475091E-01  4.6687237E-01  2.1414930E-02  1.0533118E-02  6.4894660E-03  1.1209093E-03  1.3463510E-02
  1.2310665E-03  6.4977968E-03  1.0467395E-02  1.5850458E-02  3.2061439E-02  4.1994768E-02  2.5682693E-01  2.3216518E-01  4.6253986E-01  2.1150720E-02  1.0467395E-02  6.4977968E-03  1.2310665E-03  1.3679005E-02
  1.3335396E-03  6.5021305E-03  1.0400312E-02  1.5638421E-02  3.1663342E-02  4.1363436E-02  2.5062115E-01  2.2964287E-01  4.5829643E-01  2.0891895E-02  1.0400312E-02  6.5021305E-03  1.3335396E-03  1.3895464E-02
  1.4289043E-03  6.5028571E-03  1.0332126E-02  1.5430571E-02  3.1274463E-02  4.0750214E-02  2.4467651E-01  2.2718152E-01  4.5413912E-01  2.0638337E-02  1.0332126E-02  6.5028571E-03  1.4289043E-03  1.4112896E-02
  1.5176904E-03  6.5003171E-03  1.0263034E-02  1.5226838E-02  3.0894489E-02  4.0154318E-02  2.3897790E-01  2.2477883E-01  4.5006519E-01  2.0389949E-02  1.0263034E-02  6.5003171E-03  1.5176904E-03  1.4331310E-02
  1.6003882E-03  6.4948210E-03  1.0193240E-02  1.5027182E-02  3.0523172E-02  3.9575042E-02  2.3351132E-01  2.2243258E-01  4.4607190E-01  2.0146637E-02  1.0193240E-02  6.4948210E-03  1.6003882E-03  1.4550716E-02
  1.6774269E-03  6.4866515E-03  1.0122899E-02  1.4831501E-02  3.0160214E-02  3.9011696E-02  2.2826374E-01  2.2014069E-01  4.4215672E-01  1.9908285E-02  1.0122899E-02  6.4866515E-03  1.6774269E-03  1.4771124E-02
  1.7491535E-03  6.4759677E-03  1.0052068E-02  1.4639645E-02  2.9805290E-02  3.8463549E-02  2.2321904E-01  2.1790108E-01  4.3831706E-01  1.9674688E-02  1.0052068E-02  6.4759677E-03  1.7491535E-03  1.4992544E-02
  1.8160644E-03  6.4631862E-03  9.9810691E-03  1.4451727E-02  2.9458314E-02  3.7930174E-02  2.1837367E-01  2.1571205E-01  4.3455078E-01  1.9445924E-02  9.9810691E-03  6.4631862E-03  1.8160644E-03  1.5214987E-02
  1.8784393E-03  6.4484249E-03  9.9099282E-03  1.4267578E-02  2.9118958E-02  3.7410900E-02  2.1371342E-01  2.1357171E-01  4.3085549E-01  1.9221787E-02  9.9099282E-03  6.4484249E-03  1.8784393E-03  1.5438462E-02
  1.9365885E-03  6.4318754E-03  9.8387440E-03  1.4087106E-02  2.8786984E-02  3.6905175E-02  2.0922846E-01  2.1147834E-01  4.2722902E-01  1.9002177E-02  9.8387440E-03  6.4318754E-03  1.9365885E-03  1.5662981E-02
  1.9908017E-03  6.4137047E-03  9.7676110E-03  1.3910238E-02  2.8462171E-02  3.6412482E-02  2.0490964E-01  2.0943033E-01  4.2366930E-01  1.8786986E-02  9.7676110E-03  6.4137047E-03  1.9908017E-03  1.5888554E-02
  2.0413389E-03  6.3940761E-03  9.6966115E-03  1.3736900E-02  2.8144298E-02  3.5932325E-02  2.0074842E-01  2.0742610E-01  4.2017431E-01  1.8576085E-02  9.6966115E-03  6.3940761E-03  2.0413389E-03  1.6115193E-02
  2.0884515E-03  6.3731346E-03  9.6258141E-03  1.3567009E-02  2.7833142E-02  3.5464225E-02  1.9673680E-01  2.0546420E-01  4.1674212E-01  1.8369388E-02  9.6258141E-03  6.3731346E-03  2.0884515E-03  1.6342907E-02
  2.1323538E-03  6.3510038E-03  9.5552771E-03  1.3400475E-02  2.7528514E-02  3.5007747E-02  1.9286727E-01  2.0354320E-01  4.1337091E-01  1.8166788E-02  9.5552771E-03  6.3510038E-03  2.1323538E-03  1.6571709E-02
  2.1731877E-03  6.3277082E-03  9.4849698E-03  1.3237137E-02  2.7230118E-02  3.4562356E-02  1.8912881E-01  2.0166165E-01  4.1005878E-01  1.7968075E-02  9.4849698E-03  6.3277082E-03  2.1731877E-03  1.6801609E-02
  0.0000000E+00  1.6000000E-09  2.2300788E-18  1.8964746E-02  4.8730216E-02  8.1859468E-02  7.7728584E-01  4.0077058E-01  7.2256893E-01  2.7613102E-02  2.2300788E-18  4.3000000E-09  0.0000000E+00  6.2021423E-03
  0.0000000E+00  1.6000000E-09  1.8167857E-03  1.9239122E-02  4.7879554E-02  7.7929271E-02  7.3823523E-01  3.8827749E-01  7.0679623E-01  2.7626922E-02  1.8167857E-03  4.3000000E-09  0.0000000E+00  6.3733179E-03
  0.0000000E+00  2.0000000E-09  3.2331269E-03  1.9330426E-02  4.6871502E-02  7.4533724E-02  7.0054159E-01  3.7664261E-01  6.9187232E-01  2.7480803E-02  3.2331269E-03  5.0000000E-09  0.0000000E+00  6.5429541E-03
  0.0000000E+00  2.2000000E-09  4.3506753E-03  1.9297208E-02  4.5863031E-02  7.1473507E-02  6.6497348E-01  3.6593940E-01  6.7772582E-01  2.7231835E-02  4.3506753E-03  5.3000000E-09  0.0000000E+00  6.7131086E-03
  0.0000000E+00  5.0000000E-10  5.2402399E-03  1.9177436E-02  4.4869476E-02  6.8698038E-02  6.3174600E-01  3.5604972E-01  6.6431469E-01  2.6914764E-02  5.2402399E-03  3.6000000E-09  0.0000000E+00  6.8837840E-03
  0.0000000E+00  6.0000000E-10  5.9533097E-03  1.8997500E-02  4.3900080E-02  6.6166656E-02  6.0087219E-01  3.4687557E-01  6.5159379E-01  2.6553432E-02  5.9533097E-03  4.8000000E-09  0.0000000E+00  7.0549840E-03
  0.0000000E+00  2.0000000E-10  6.5279037E-03  1.8776001E-02  4.2960112E-02  6.3846223E-02  5.7226193E-01  3.3833436E-01  6.3951693E-01  2.6164322E-02  6.5279037E-03  4.5000000E-09  0.0000000E+00  7.2267118E-03
  0.0000000E+00  2.2279861E-04  6.9921890E-03  1.8531257E-02  4.2062300E-02  6.1728873E-02  5.4526624E-01  3.3041993E-01  6.2812859E-01  2.5765222E-02  6.9921890E-03  2.2279861E-04  0.0000000E+00  7.3989021E-03
  0.0000000E+00  8.8791321E-04  7.3683146E-03  1.8275682E-02  4.1213052E-02  5.9801275E-02  5.1918597E-01  3.2310671E-01  6.1743757E-01  2.5367693E-02  7.3683146E-03  8.8791321E-04  0.0000000E+00  7.5714798E-03
  0.0000000E+00  1.4569017E-03  7.6732584E-03  1.8002717E-02  4.0386575E-02  5.7995231E-02  4.9507316E-01  3.1618126E-01  6.0717454E-01  2.4961021E-02  7.6732584E-03  1.4569017E-03  0.0000000E+00  7.7446244E-03
  0.0000000E+00  1.9455617E-03  7.9197751E-03  1.7718533E-02  3.9584563E-02  5.6299703E-02  4.7275388E-01  3.0961220E-01  5.9731719E-01  2.4550604E-02  7.9197751E-03  1.9455617E-03  0.0000000E+00  7.9183402E-03
  0.0000000E+00  2.3664723E-03  8.1176603E-03  1.7427397E-02  3.8807455E-02  5.4704484E-02  4.5205763E-01  3.0337094E-01  5.8784322E-01  2.4139998E-02  8.1176603E-03  2.3664723E-03  0.0000000E+00  8.0926310E-03
  0.0000000E+00  2.7301217E-03  8.2752198E-03  1.7132903E-02  3.8055620E-02  5.3200972E-02  4.3284179E-01  2.9743222E-01  5.7873161E-01  2.3732220E-02  8.2752198E-03  2.7301217E-03  0.0000000E+00  8.2675009E-03
  0.0000000E+00  3.0448728E-03  8.3988648E-03  1.6837447E-02  3.7328649E-02  5.1781148E-02  4.1496602E-01  2.9177291E-01  5.6996189E-01  2.3329126E-02  8.3988648E-03  3.0448728E-03  0.0000000E+00  8.4429547E-03
  0.0000000E+00  3.3179119E-03  8.4941928E-03  1.6543168E-02  3.6626269E-02  5.0438236E-02  3.9831532E-01  2.8637254E-01  5.6151507E-01  2.2932393E-02  8.4941928E-03  3.3179119E-03  0.0000000E+00  8.6189965E-03
  0.0000000E+00  3.5550315E-03  8.5655725E-03  1.6251453E-02  3.5947744E-02  4.9165929E-02  3.8277848E-01  2.8121235E-01  5.5337302E-01  2.2542992E-02  8.5655725E-03  3.5550315E-03  0.0000000E+00  8.7956302E-03
  0.0000000E+00  3.7610365E-03  8.6165947E-03  1.5963316E-02  3.5292233E-02  4.7958569E-02  3.6825469E-01  2.7627533E-01  5.4551872E-01  2.2161555E-02  8.6165947E-03  3.7610365E-03  0.0000000E+00  8.9728610E-03
  0.0000000E+00  3.9402363E-03  8.6505512E-03  1.5679772E-02  3.4659134E-02  4.6811358E-02  3.5466243E-01  2.7154639E-01  5.3793653E-01  2.1788784E-02  8.6505512E-03  3.9402363E-03  0.0000000E+00  9.1506923E-03
  0.0000000E+00  4.0960539E-03  8.6699257E-03  1.5401337E-02  3.4047495E-02  4.5719719E-02  3.4192028E-01  2.6701150E-01  5.3061156E-01  2.1424872E-02  8.6699257E-03  4.0960539E-03  0.0000000E+00  9.3291298E-03
  0.0000000E+00  4.2314413E-03  8.6768829E-03  1.5128405E-02  3.3456481E-02  4.4679608E-02  3.2995743E-01  2.6265797E-01  5.2352998E-01  2.1069982E-02  8.6768829E-03  4.2314413E-03  0.0000000E+00  9.5081775E-03
  0.0000000E+00  4.3488727E-03  8.6731811E-03  1.4861202E-02  3.2885128E-02  4.3687252E-02  3.1870650E-01  2.5847413E-01  5.1667880E-01  2.0724058E-02  8.6731811E-03  4.3488727E-03  0.0000000E+00  9.6878396E-03
  0.0000000E+00  4.4506854E-03  8.6605534E-03  1.4600084E-02  3.2332798E-02  4.2739552E-02  3.0811683E-01  2.5444962E-01  5.1004621E-01  2.0387274E-02  8.6605534E-03  4.4506854E-03  0.0000000E+00  9.8681213E-03
  0.0000000E+00  4.5386999E-03  8.6402461E-03  1.4345080E-02  3.1798581E-02  4.1833374E-02  2.9813338E-01  2.5057464E-01  5.0362090E-01  2.0059434E-02  8.6402461E-03  4.5386999E-03  0.0000000E+00  1.0049027E-02
  0.0000000E+00  4.6145213E-03  8.6133853E-03  1.4096215E-02  3.1281696E-02  4.0965997E-02  2.8870922E-01  2.4684029E-01  4.9739237E-01  1.9740406E-02  8.6133853E-03  4.6145213E-03  0.0000000E+00  1.0230562E-02
  0.0000000E+00  4.6794655E-03  8.5808344E-03  1.3853383E-02  3.0781274E-02  4.0134787E-02  2.7979830E-01  2.4323831E-01  4.9135075E-01  1.9429895E-02  8.5808344E-03  4.6794655E-03  0.0000000E+00  1.0412730E-02
  0.0000000E+00  4.7349500E-03  8.5436178E-03  1.3616725E-02  3.0296779E-02  3.9337672E-02  2.7136882E-01  2.3976134E-01  4.8548708E-01  1.9127907E-02  8.5436178E-03  4.7349500E-03  0.0000000E+00  1.0595538E-02
  2.6697897E-19  4.7819488E-03  8.5023645E-03  1.3386071E-02  2.9827440E-02  3.8572453E-02  2.6338261E-01  2.3640234E-01  4.7979274E-01  1.8834137E-02  8.5023645E-03  4.7819488E-03  2.6697897E-19  1.0778989E-02
  5.4374976E-05  4.8216394E-03  8.4581680E-03  1.3165284E-02  2.9368692E-02  3.7842628E-02  2.5563322E-01  2.3316747E-01  4.7426996E-01  1.8552482E-02  8.4581680E-03  4.8216394E-03  5.4374976E-05  1.0962555E-02
  1.9568513E-04  4.8548529E-03  8.4115846E-03  1.2948710E-02  2.8931482E-02  3.7140974E-02  2.4798339E-01  2.3004580E-01  4.6892377E-01  1.8277184E-02  8.4115846E-03  4.8548529E-03  1.9568513E-04  1.1145872E-02
  3.2614071E-04  4.8817545E-03  8.3620312E-03  1.2736766E-02  2.8505883E-02  3.6463490E-02  2.4071600E-01  2.2701529E-01  4.6370974E-01  1.8008220E-02  8.3620312E-03  4.8817545E-03  3.2614071E-04  1.1329976E-02
  4.4669998E-04  4.9031642E-03  8.3101243E-03  1.2529593E-02  2.8091685E-02  3.5809137E-02  2.3381166E-01  2.2407197E-01  4.5862288E-01  1.7745634E-02  8.3101243E-03  4.9031642E-03  4.4669998E-04  1.1514872E-02
  5.5820383E-04  4.9195760E-03  8.2561621E-03  1.2327064E-02  2.7688420E-02  3.5176701E-02  2.2724300E-01  2.2121184E-01  4.5365822E-01  1.7489232E-02  8.2561621E-03  4.9195760E-03  5.5820383E-04  1.1700569E-02
  6.6141234E-04  4.9315086E-03  8.2004934E-03  1.2129118E-02  2.7295710E-02  3.4565117E-02  2.2098797E-01  2.1843124E-01  4.4881110E-01  1.7238882E-02  8.2004934E-03  4.9315086E-03  6.6141234E-04  1.1887074E-02
  7.5700452E-04  4.9394063E-03  8.1434014E-03  1.1935680E-02  2.6913180E-02  3.3973380E-02  2.1502624E-01  2.1572673E-01  4.4407709E-01  1.6994436E-02  8.1434014E-03  4.9394063E-03  7.5700452E-04  1.2074396E-02
  8.4559332E-04  4.9436893E-03  8.0851458E-03  1.1746663E-02  2.6540482E-02  3.3400548E-02  2.0933915E-01  2.1309505E-01  4.3945200E-01  1.6755763E-02  8.0851458E-03  4.9436893E-03  8.4559332E-04  1.2262542E-02
  9.2769850E-04  4.9446231E-03  8.0258694E-03  1.1561907E-02  2.6177194E-02  3.2845663E-02  2.0390581E-01  2.1053304E-01  4.3493171E-01  1.6522616E-02  8.0258694E-03  4.9446231E-03  9.2769850E-04  1.2451520E-02
  1.0039102E-03  4.9427206E-03  7.9659464E-03  1.1381487E-02  2.5823166E-02  3.2308067E-02  1.9871742E-01  2.0803799E-01  4.3051261E-01  1.6295031E-02  7.9659464E-03  4.9427206E-03  1.0039102E-03  1.2641338E-02
  1.0746440E-03  4.9381837E-03  7.9054625E-03  1.1205218E-02  2.5477972E-02  3.1786887E-02  1.9375592E-01  2.0560709E-01  4.2619098E-01  1.6072767E-02  7.9054625E-03  4.9381837E-03  1.0746440E-03  1.2832005E-02
  1.1403243E-03  4.9312836E-03  7.8445867E-03  1.1033019E-02  2.5141324E-02  3.1281407E-02  1.8900775E-01  2.0323775E-01  4.2196337E-01  1.5855698E-02  7.8445867E-03  4.9312836E-03  1.1403243E-03  1.3023529E-02
  1.2013250E-03  4.9222543E-03  7.7834431E-03  1.0864779E-02  2.4812930E-02  3.0790923E-02  1.8446038E-01  2.0092752E-01  4.1782647E-01  1.5643664E-02  7.7834431E-03  4.9222543E-03  1.2013250E-03  1.3215918E-02
  1.2580004E-03  4.9113169E-03  7.7221511E-03  1.0700400E-02  2.4492491E-02  3.0314787E-02  1.8010216E-01  1.9867410E-01  4.1377719E-01  1.5436519E-02  7.7221511E-03  4.9113169E-03  1.2580004E-03  1.3409181E-02
  1.3106624E-03  4.8986588E-03  7.6608223E-03  1.0539786E-02  2.4179759E-02  2.9852396E-02  1.7592229E-01  1.9647531E-01  4.0981248E-01  1.5234136E-02  7.6608223E-03  4.8986588E-03  1.3106624E-03  1.3603327E-02
  1.3595346E-03  4.8843643E-03  7.5994508E-03  1.0382747E-02  2.3874360E-02  2.9403057E-02  1.7190706E-01  1.9432897E-01  4.0592942E-01  1.5036279E-02  7.5994508E-03  4.8843643E-03  1.3595346E-03  1.3798364E-02
  1.4050143E-03  4.8687728E-03  7.5383004E-03  1.0229367E-02  2.3576225E-02  2.8966415E-02  1.6805427E-01  1.9223328E-01  4.0212545E-01  1.4843000E-02  7.5383004E-03  4.8687728E-03  1.4050143E-03  1.3994303E-02
  1.4472789E-03  4.8519350E-03  7.4773479E-03  1.0079453E-02  2.3285039E-02  2.8541859E-02  1.6435179E-01  1.9018630E-01  3.9839789E-01  1.4654060E-02  7.4773479E-03  4.8519350E-03  1.4472789E-03  1.4191152E-02
  1.4865543E-03  4.8339858E-03  7.4166656E-03  9.9329192E-03  2.3000559E-02  2.8128905E-02  1.6079153E-01  1.8818625E-01  3.9474423E-01  1.4469366E-02  7.4166656E-03  4.8339858E-03  1.4865543E-03  1.4388919E-02
  1.5230490E-03  4.8150475E-03  7.3563028E-03  9.7896705E-03  2.2722563E-02  2.7727075E-02  1.5736593E-01  1.8623143E-01  3.9116209E-01  1.4288765E-02  7.3563028E-03  4.8150475E-03  1.5230490E-03  1.4587616E-02
  1.5569472E-03  4.7952142E-03  7.2963019E-03  9.6496132E-03  2.2450844E-02  2.7335941E-02  1.5406795E-01  1.8432024E-01  3.8764920E-01  1.4112146E-02  7.2963019E-03  4.7952142E-03  1.5569472E-03  1.4787250E-02
  1.5884283E-03  4.7745968E-03  7.2367105E-03  9.5126706E-03  2.2185204E-02  2.6955089E-02  1.5089101E-01  1.8245115E-01  3.8420338E-01  1.3939397E-02  7.2367105E-03  4.7745968E-03  1.5884283E-03  1.4987834E-02
  1.6176530E-03  4.7532743E-03  7.1775593E-03  9.3787420E-03  2.1925427E-02  2.6584107E-02  1.4782893E-01  1.8062271E-01  3.8082254E-01  1.3770398E-02  7.1775593E-03  4.7532743E-03  1.6176530E-03  1.5189375E-02
  0.0000000E+00  0.0000000E+00  1.8369284E-18  1.5735332E-02  4.3469432E-02  6.9503946E-02  6.8671928E-01  3.8811988E-01  7.2302132E-01  2.4202312E-02  1.8369284E-18  1.7000000E-09  0.0000000E+00  5.8621654E-03
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  0.0000000E+00  0.0000000E+00  2.6522719E-03  1.5713988E-02  4.1257906E-02  6.2598373E-02  6.1073256E-01  3.6131033E-01  6.8635431E-01  2.3618744E-02  2.6522719E-03  4.2000000E-09  0.0000000E+00  6.1599979E-03
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  0.0000000E+00  0.0000000E+00  4.2676601E-03  1.5342173E-02  3.9131871E-02  5.7132944E-02  5.4468060E-01  3.3902426E-01  6.5430426E-01  2.2797501E-02  4.2676601E-03  1.3000000E-09  0.0000000E+00  6.4599547E-03
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  0.0000000E+00  1.8762276E-03  6.4847812E-03  1.3396453E-02  3.3087147E-02  4.4388691E-02  3.7900681E-01  2.8354487E-01  5.6867470E-01  1.9773597E-02  6.4847812E-03  1.8762276E-03  0.0000000E+00  7.5236856E-03
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  0.0000000E+00  3.2031944E-03  6.8308000E-03  1.1497289E-02  2.8587429E-02  3.6470757E-02  2.8118351E-01  2.4638304E-01  5.0693752E-01  1.7172762E-02  6.8308000E-03  3.2031944E-03  0.0000000E+00  8.6115639E-03
  0.0000000E+00  3.3034467E-03  6.8246368E-03  1.1251574E-02  2.8039297E-02  3.5567159E-02  2.7071481E-01  2.4198936E-01  4.9941096E-01  1.6844589E-02  6.8246368E-03  3.3034467E-03  0.0000000E+00  8.7690783E-03
  0.0000000E+00  3.3896974E-03  6.8106445E-03  1.1012926E-02  2.7511552E-02  3.4707763E-02  2.6090513E-01  2.3777798E-01  4.9215120E-01  1.6526930E-02  6.8106445E-03  3.3896974E-03  0.0000000E+00  8.9271302E-03
  0.0000000E+00  3.4636308E-03  6.7899751E-03  1.0781188E-02  2.7003077E-02  3.3889254E-02  2.5169678E-01  2.3373683E-01  4.8514291E-01  1.6219415E-02  6.7899751E-03  3.4636308E-03  0.0000000E+00  9.0857240E-03
  0.0000000E+00  3.5267789E-03  6.7636886E-03  1.0556282E-02  2.6512912E-02  3.3108733E-02  2.4304035E-01  2.2985499E-01  4.7837196E-01  1.5921714E-02  6.7636886E-03  3.5267789E-03  0.0000000E+00  9.2448636E-03
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  0.0000000E+00  3.6256582E-03  6.6975465E-03  1.0126294E-02  2.5583752E-02  3.1651229E-02  2.2720610E-01  2.2253003E-01  4.6549090E-01  1.5354332E-02  6.6975465E-03  3.6256582E-03  0.0000000E+00  9.5647967E-03
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  2.0405839E-19  3.6950123E-03  6.6180538E-03  9.7218453E-03  2.4717510E-02  3.0317108E-02  2.1310232E-01  2.1573307E-01  4.5341487E-01  1.4822277E-02  6.6180538E-03  3.6950123E-03  2.0405839E-19  9.8869638E-03
  4.1560089E-05  3.7208413E-03  6.5749859E-03  9.5322016E-03  2.4302463E-02  2.9696155E-02  2.0647943E-01  2.1252583E-01  4.4766451E-01  1.4572315E-02  6.5749859E-03  3.7208413E-03  4.1560089E-05  1.0048406E-02
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  4.2468629E-04  3.7779794E-03  6.3863509E-03  8.8191881E-03  2.2791215E-02  2.7439056E-02  1.8240579E-01  2.0072581E-01  4.2630815E-01  1.3637049E-02  6.3863509E-03  3.7779794E-03  4.2468629E-04  1.0697289E-02
  5.0266342E-04  3.7828208E-03  6.3359327E-03  8.6525190E-03  2.2440063E-02  2.6923928E-02  1.7712888E-01  1.9799331E-01  4.2131018E-01  1.3418778E-02  6.3359327E-03  3.7828208E-03  5.0266342E-04  1.0861260E-02
  5.7470369E-04  3.7846606E-03  6.2846870E-03  8.4902377E-03  2.2098756E-02  2.6426469E-02  1.7210887E-01  1.9533986E-01  4.1643758E-01  1.3206326E-02  6.2846870E-03  3.7846606E-03  5.7470369E-04  1.1025946E-02
  6.4126457E-04  3.7837350E-03  6.2327377E-03  8.3321543E-03  2.1766808E-02  2.5945714E-02  1.6732553E-01  1.9276182E-01  4.1168526E-01  1.2999452E-02  6.2327377E-03  3.7837350E-03  6.4126457E-04  1.1191353E-02
  7.0285426E-04  3.7804957E-03  6.1804069E-03  8.1783065E-03  2.1444039E-02  2.5481011E-02  1.6276976E-01  1.9025601E-01  4.0704866E-01  1.2798117E-02  6.1804069E-03  3.7804957E-03  7.0285426E-04  1.1357488E-02
  7.5985015E-04  3.7751139E-03  6.1277605E-03  8.0284990E-03  2.1130022E-02  2.5031509E-02  1.5842421E-01  1.8781923E-01  4.0252318E-01  1.2602065E-02  6.1277605E-03  3.7751139E-03  7.5985015E-04  1.1524357E-02
  8.1260992E-04  3.7678157E-03  6.0749316E-03  7.8826203E-03  2.0824413E-02  2.4596492E-02  1.5427572E-01  1.8544851E-01  3.9810460E-01  1.2411127E-02  6.0749316E-03  3.7678157E-03  8.1260992E-04  1.1691968E-02
  8.6146788E-04  3.7588100E-03  6.0220231E-03  7.7405334E-03  2.0526912E-02  2.4175285E-02  1.5031215E-01  1.8314108E-01  3.9378885E-01  1.2225128E-02  6.0220231E-03  3.7588100E-03  8.6146788E-04  1.1860329E-02
  9.0672085E-04  3.7482760E-03  5.9691413E-03  7.6021455E-03  2.0237204E-02  2.3767241E-02  1.4652229E-01  1.8089429E-01  3.8957210E-01  1.2043918E-02  5.9691413E-03  3.7482760E-03  9.0672085E-04  1.2029447E-02
  9.4864730E-04  3.7363812E-03  5.9163635E-03  7.4673236E-03  1.9954992E-02  2.3371764E-02  1.4289577E-01  1.7870568E-01  3.8545073E-01  1.1867325E-02  5.9163635E-03  3.7363812E-03  9.4864730E-04  1.2199330E-02
  9.8743077E-04  3.7231824E-03  5.8636788E-03  7.3358842E-03  1.9679927E-02  2.2988215E-02  1.3941956E-01  1.7657283E-01  3.8142118E-01  1.1695108E-02  5.8636788E-03  3.7231824E-03  9.8743077E-04  1.2369984E-02
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  1.0876521E-03  3.6778157E-03  5.7075330E-03  6.9615230E-03  1.8895766E-02  2.1904714E-02  1.2983690E-01  1.7048791E-01  3.6985204E-01  1.1204036E-02  5.7075330E-03  3.6778157E-03  1.0876521E-03  1.2886657E-02
  1.1162651E-03  3.6610463E-03  5.6561975E-03  6.8429673E-03  1.8647160E-02  2.1564273E-02  1.2689583E-01  1.6855744E-01  3.6615880E-01  1.1048331E-02  5.6561975E-03  3.6610463E-03  1.1162651E-03  1.3060478E-02
  1.1427590E-03  3.6436081E-03  5.6052787E-03  6.7273565E-03  1.8404580E-02  2.1233472E-02  1.2406983E-01  1.6667283E-01  3.6254251E-01  1.0896397E-02  5.6052787E-03  3.6436081E-03  1.1427590E-03  1.3235112E-02
  1.1672837E-03  3.6255810E-03  5.5548092E-03  6.6146057E-03  1.8167800E-02  2.0911915E-02  1.2135271E-01  1.6483239E-01  3.5900057E-01  1.0748109E-02  5.5548092E-03  3.6255810E-03  1.1672837E-03  1.3410565E-02
  1.1899762E-03  3.6070429E-03  5.5048157E-03  6.5046226E-03  1.7936630E-02  2.0599228E-02  1.1873869E-01  1.6303450E-01  3.5553052E-01  1.0603349E-02  5.5048157E-03  3.6070429E-03  1.1899762E-03  1.3586849E-02
  1.2108940E-03  3.5879689E-03  5.4552354E-03  6.3972425E-03  1.7710787E-02  2.0294969E-02  1.1621895E-01  1.6127755E-01  3.5212991E-01  1.0461927E-02  5.4552354E-03  3.5879689E-03  1.2108940E-03  1.3763969E-02
  0.0000000E+00  0.0000000E+00  1.5176666E-18  1.2739257E-02  3.8869435E-02  5.8140737E-02  6.0868472E-01  3.7364070E-01  7.1877315E-01  2.0872468E-02  1.5176666E-18  1.8000000E-09  0.0000000E+00  5.5489593E-03
  0.0000000E+00  0.0000000E+00  1.2364240E-03  1.2642123E-02  3.7493171E-02  5.4905767E-02  5.7003087E-01  3.5832614E-01  6.9699028E-01  2.0467360E-02  1.2364240E-03  1.8000000E-09  0.0000000E+00  5.6806691E-03
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  0.0000000E+00  0.0000000E+00  3.9328721E-03  1.1681400E-02  3.3144043E-02  4.4845169E-02  4.4402739E-01  3.1079413E-01  6.2446268E-01  1.8572073E-02  3.9328721E-03  2.6000000E-09  0.0000000E+00  6.2081464E-03
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  0.0000000E+00  1.2317957E-03  5.0894614E-03  1.0264024E-02  2.8953262E-02  3.6880548E-02  3.3576609E-01  2.7032188E-01  5.5828010E-01  1.6392624E-02  5.0894614E-03  1.2317957E-03  0.0000000E+00  6.8760199E-03
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  0.0000000E+00  2.3221863E-03  5.3986747E-03  8.7312145E-03  2.5100221E-02  3.0471815E-02  2.5240656E-01  2.3571147E-01  4.9852098E-01  1.4220889E-02  5.3986747E-03  2.3221863E-03  0.0000000E+00  7.6915465E-03
  0.0000000E+00  2.4240531E-03  5.4001649E-03  8.5021036E-03  2.4551787E-02  2.9612882E-02  2.4186561E-01  2.3091314E-01  4.9000469E-01  1.3903519E-02  5.4001649E-03  2.4240531E-03  0.0000000E+00  7.8290554E-03
  0.0000000E+00  2.5111503E-03  5.3932215E-03  8.2807063E-03  2.4026171E-02  2.8800541E-02  2.3204985E-01  2.2633648E-01  4.8182856E-01  1.3597949E-02  5.3932215E-03  2.5111503E-03  0.0000000E+00  7.9670273E-03
  0.0000000E+00  2.5854668E-03  5.3792417E-03  8.0668964E-03  2.3522088E-02  2.8031058E-02  2.2289341E-01  2.2196544E-01  4.7397081E-01  1.3303719E-02  5.3792417E-03  2.5854668E-03  0.0000000E+00  8.1054653E-03
  0.0000000E+00  2.6485953E-03  5.3592910E-03  7.8603865E-03  2.3038207E-02  2.7300985E-02  2.1433446E-01  2.1778536E-01  4.6641140E-01  1.3020256E-02  5.3592910E-03  2.6485953E-03  0.0000000E+00  8.2443727E-03
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  0.0000000E+00  2.8161120E-03  5.2383685E-03  7.1041101E-03  2.1284042E-02  2.4720227E-02  1.8514409E-01  2.0273056E-01  4.3881518E-01  1.1986154E-02  5.2383685E-03  2.8161120E-03  0.0000000E+00  8.8047705E-03
  0.0000000E+00  2.8416617E-03  5.2010622E-03  6.9312216E-03  2.0885935E-02  2.4148189E-02  1.7890595E-01  1.9933109E-01  4.3250222E-01  1.1750330E-02  5.2010622E-03  2.8416617E-03  0.0000000E+00  8.9460804E-03
  1.5646397E-19  2.8622086E-03  5.1618936E-03  6.7643187E-03  2.0502276E-02  2.3601481E-02  1.7302496E-01  1.9605956E-01  4.2639795E-01  1.1522749E-02  5.1618936E-03  2.8622086E-03  1.5646397E-19  9.0878817E-03
  3.1866647E-05  2.8784859E-03  5.1215239E-03  6.6062562E-03  2.0128977E-02  2.3082584E-02  1.6736294E-01  1.9292005E-01  4.2050340E-01  1.1306304E-02  5.1215239E-03  2.8784859E-03  3.1866647E-05  9.2297279E-03
  1.1440264E-04  2.8910112E-03  5.0802737E-03  6.4521920E-03  1.9774884E-02  2.2585428E-02  1.6182667E-01  1.8990147E-01  4.1481871E-01  1.1096047E-02  5.0802737E-03  2.8910112E-03  1.1440264E-04  9.3713061E-03
  1.9022177E-04  2.8998739E-03  5.0377092E-03  6.3026886E-03  1.9431841E-02  2.2107350E-02  1.5658870E-01  1.8698126E-01  4.0929603E-01  1.0892083E-02  5.0377092E-03  2.8998739E-03  1.9022177E-04  9.5134852E-03
  2.5995522E-04  2.9056287E-03  4.9942513E-03  6.1577685E-03  1.9099526E-02  2.1647453E-02  1.5163313E-01  1.8415464E-01  4.0392822E-01  1.0694345E-02  4.9942513E-03  2.9056287E-03  2.5995522E-04  9.6562704E-03
  3.2413083E-04  2.9085615E-03  4.9500310E-03  6.0172061E-03  1.8777430E-02  2.1204682E-02  1.4693717E-01  1.8141691E-01  3.9870837E-01  1.0502531E-02  4.9500310E-03  2.9085615E-03  3.2413083E-04  9.7996673E-03
  3.8323864E-04  2.9089838E-03  4.9052463E-03  5.8808671E-03  1.8465099E-02  2.0778109E-02  1.4248264E-01  1.7876378E-01  3.9363004E-01  1.0316411E-02  4.9052463E-03  2.9089838E-03  3.8323864E-04  9.9436826E-03
  4.3771085E-04  2.9071784E-03  4.8600536E-03  5.7486053E-03  1.8162115E-02  2.0366888E-02  1.3825290E-01  1.7619122E-01  3.8868714E-01  1.0135783E-02  4.8600536E-03  2.9071784E-03  4.3771085E-04  1.0088322E-02
  4.8794355E-04  2.9033950E-03  4.8146027E-03  5.6202950E-03  1.7868104E-02  1.9970232E-02  1.3423272E-01  1.7369544E-01  3.8387396E-01  9.9604451E-03  4.8146027E-03  2.9033950E-03  4.8794355E-04  1.0233590E-02
  5.3424436E-04  2.8977728E-03  4.7689293E-03  5.4957028E-03  1.7582604E-02  1.9587312E-02  1.3040498E-01  1.7127285E-01  3.7918505E-01  9.7901117E-03  4.7689293E-03  2.8977728E-03  5.3424436E-04  1.0379495E-02
  5.7700993E-04  2.8906620E-03  4.7232949E-03  5.3748621E-03  1.7305417E-02  1.9217595E-02  1.2676294E-01  1.6892028E-01  3.7461542E-01  9.6247558E-03  4.7232949E-03  2.8906620E-03  5.7700993E-04  1.0526042E-02
  6.1649611E-04  2.8821672E-03  4.6777151E-03  5.2575752E-03  1.7036134E-02  1.8860356E-02  1.2329189E-01  1.6663454E-01  3.7016023E-01  9.4640989E-03  4.6777151E-03  2.8821672E-03  6.1649611E-04  1.0673236E-02
  6.5296410E-04  2.8724430E-03  4.6322682E-03  5.1437063E-03  1.6774426E-02  1.8514986E-02  1.1998098E-01  1.6441270E-01  3.6581491E-01  9.3079835E-03  4.6322682E-03  2.8724430E-03  6.5296410E-04  1.0821086E-02
  6.8664747E-04  2.8616274E-03  4.5870222E-03  5.0331388E-03  1.6520006E-02  1.8180921E-02  1.1682021E-01  1.6225201E-01  3.6157517E-01  9.1562386E-03  4.5870222E-03  2.8616274E-03  6.8664747E-04  1.0969597E-02
  7.1776764E-04  2.8498513E-03  4.5420373E-03  4.9267223E-03  1.6272566E-02  1.7857625E-02  1.1380035E-01  1.6014987E-01  3.5743691E-01  9.0086921E-03  4.5420373E-03  2.8498513E-03  7.1776764E-04  1.1118775E-02
  7.4651918E-04  2.8372242E-03  4.4973604E-03  4.8236666E-03  1.6031850E-02  1.7544604E-02  1.1091287E-01  1.5810384E-01  3.5339627E-01  8.8652007E-03  4.4973604E-03  2.8372242E-03  7.4651918E-04  1.1268628E-02
  7.7302204E-04  2.8237728E-03  4.4529556E-03  4.7234432E-03  1.5797504E-02  1.7241301E-02  1.0814668E-01  1.5611151E-01  3.4944951E-01  8.7255254E-03  4.4529556E-03  2.8237728E-03  7.7302204E-04  1.1419162E-02
  7.9755085E-04  2.8097321E-03  4.4090051E-03  4.6261001E-03  1.5569439E-02  1.6947428E-02  1.0550064E-01  1.5417087E-01  3.4559330E-01  8.5896771E-03  4.4090051E-03  2.8097321E-03  7.9755085E-04  1.1570384E-02
  8.2020084E-04  2.7951141E-03  4.3654757E-03  4.5314693E-03  1.5347344E-02  1.6662503E-02  1.0296498E-01  1.5227976E-01  3.4182426E-01  8.4574433E-03  4.3654757E-03  2.7951141E-03  8.2020084E-04  1.1722301E-02
  8.4111520E-04  2.7799918E-03  4.3223847E-03  4.4394552E-03  1.5130987E-02  1.6386117E-02  1.0053342E-01  1.5043626E-01  3.3813925E-01  8.3287076E-03  4.3223847E-03  2.7799918E-03  8.4111520E-04  1.1874920E-02
  8.6041433E-04  2.7644357E-03  4.2797607E-03  4.3499606E-03  1.4920162E-02  1.6117917E-02  9.8200104E-02  1.4863850E-01  3.3453527E-01  8.2033253E-03  4.2797607E-03  2.7644357E-03  8.6041433E-04  1.2028248E-02
  8.7821392E-04  2.7484958E-03  4.2376097E-03  4.2628993E-03  1.4714659E-02  1.5857539E-02  9.5959594E-02  1.4688473E-01  3.3100948E-01  8.0811864E-03  4.2376097E-03  2.7484958E-03  8.7821392E-04  1.2182293E-02
  8.9461972E-04  2.7322329E-03  4.1959561E-03  4.1781860E-03  1.4514286E-02  1.5604664E-02  9.3806821E-02  1.4517330E-01  3.2755917E-01  7.9621759E-03  4.1959561E-03  2.7322329E-03  8.9461972E-04  1.2337062E-02
  9.0972978E-04  2.7156906E-03  4.1548032E-03  4.0957409E-03  1.4318852E-02  1.5358972E-02  9.1737064E-02  1.4350261E-01  3.2418175E-01  7.8461747E-03  4.1548032E-03  2.7156906E-03  9.0972978E-04  1.2492563E-02
  0.0000000E+00  0.0000000E+00  1.2551615E-18  9.9622401E-03  3.4517008E-02  4.8150816E-02  5.4142965E-01  3.5734129E-01  7.1045010E-01  1.7673790E-02  1.2551615E-18  3.9000000E-09  0.0000000E+00  5.2688874E-03
  0.0000000E+00  0.0000000E+00  1.0225795E-03  9.7736182E-03  3.3209144E-02  4.5122070E-02  5.0387180E-01  3.4123777E-01  6.8579041E-01  1.7175353E-02  1.0225795E-03  3.9000000E-09  0.0000000E+00  5.3837484E-03
  0.0000000E+00  0.0000000E+00  1.7968312E-03  9.5327538E-03  3.1991655E-02  4.2476833E-02  4.6926514E-01  3.2691417E-01  6.6327254E-01  1.6666536E-02  1.7968312E-03  5.1000000E-09  0.0000000E+00  5.4992689E-03
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  0.0000000E+00  0.0000000E+00  3.4790027E-03  8.4032369E-03  2.7870027E-02  3.4568326E-02  3.6028519E-01  2.8215983E-01  5.8982823E-01  1.4721335E-02  3.4790027E-03  4.6000000E-09  0.0000000E+00  5.9648331E-03
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  0.0000000E+00  1.7378506E-03  4.2779578E-03  6.2137499E-03  2.1679768E-02  2.4668587E-02  2.1979692E-01  2.2120556E-01  4.8212916E-01  1.1439056E-02  4.2779578E-03  1.7378506E-03  0.0000000E+00  7.0324028E-03
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  1.2011740E-19  2.2184938E-03  4.0264119E-03  4.3987646E-03  1.6982372E-02  1.8185276E-02  1.4076835E-01  1.7742403E-01  3.9908630E-01  8.8143364E-03  4.0264119E-03  2.2184938E-03  1.2011740E-19  8.3811312E-03
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  8.7719567E-05  2.2350427E-03  3.9522943E-03  4.1506577E-03  1.6333547E-02  1.7350910E-02  1.3122005E-01  1.7146821E-01  3.8738222E-01  8.4540739E-03  3.9522943E-03  2.2350427E-03  8.7719567E-05  8.6303160E-03
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  4.6809192E-04  1.6151531E-03  2.5489680E-03  1.3101816E-03  1.0068474E-02  9.3463322E-03  6.5125389E-02  1.2009398E-01  2.8812911E-01  4.5474052E-03  2.5489680E-03  1.6151531E-03  4.6809192E-04  9.7930209E-03
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  3.6891674E-04  1.2045751E-03  1.8906036E-03  4.9752375E-04  7.8424938E-03  6.5987944E-03  4.9147813E-02  1.0301611E-01  2.5598548E-01  3.0773651E-03  1.8906036E-03  1.2045751E-03  3.6891674E-04  9.2161252E-03
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  1.0995213E-04  1.0114863E-03  1.7545436E-03  4.1789749E-04  8.4223666E-03  6.7316946E-03  6.2393270E-02  1.1606390E-01  2.9119363E-01  2.9727195E-03  1.7545436E-03  1.0114863E-03  1.0995213E-04  7.2002787E-03
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  0.0000000E+00  1.7126151E-04  3.8530801E-04  2.8055357E-06  3.3846461E-03  1.5491604E-03  3.3831664E-02  7.7457627E-02  2.2799939E-01  9.7751911E-04  3.8530801E-04  1.7126151E-04  0.0000000E+00  4.7258175E-03
  0.0000000E+00  1.7439564E-04  3.7781151E-04  3.0516666E-06  3.2453113E-03  1.4835501E-03  3.1636139E-02  7.4874337E-02  2.2103134E-01  9.5525762E-04  3.7781151E-04  1.7439564E-04  0.0000000E+00  4.7605109E-03
  0.0000000E+00  1.7662308E-04  3.7022928E-04  3.2621754E-06  3.1153183E-03  1.4224019E-03  2.9657434E-02  7.2450593E-02  2.1446455E-01  9.3399618E-04  3.7022928E-04  1.7662308E-04  0.0000000E+00  4.7953139E-03
  0.0000000E+00  1.7805996E-04  3.6258941E-04  3.4413682E-06  2.9937575E-03  1.3652710E-03  2.7866898E-02  7.0172006E-02  2.0826475E-01  9.1364068E-04  3.6258941E-04  1.7805996E-04  0.0000000E+00  4.8302271E-03
  0.0000000E+00  1.7891081E-04  3.5502840E-04  3.5951903E-06  2.8799544E-03  1.3118525E-03  2.6244056E-02  6.8026003E-02  2.0240166E-01  8.9416604E-04  3.5502840E-04  1.7891081E-04  0.0000000E+00  4.8652516E-03
  0.0000000E+00  1.7924489E-04  3.4754600E-04  3.7264239E-06  2.7731912E-03  1.2617956E-03  2.4767848E-02  6.6001312E-02  1.9684813E-01  8.7559012E-04  3.4754600E-04  1.7924489E-04  0.0000000E+00  4.9003882E-03
  0.0000000E+00  1.7915140E-04  3.4017488E-04  3.8382033E-06  2.6728684E-03  1.2148102E-03  2.3421270E-02  6.4087938E-02  1.9157994E-01  8.5783040E-04  3.4017488E-04  1.7915140E-04  0.0000000E+00  4.9356375E-03
  0.0000000E+00  1.7866681E-04  3.3290006E-04  3.9322972E-06  2.5784087E-03  1.1706083E-03  2.2188240E-02  6.2276919E-02  1.8657530E-01  8.4076430E-04  3.3290006E-04  1.7866681E-04  0.0000000E+00  4.9710003E-03
  0.0000000E+00  1.7791934E-04  3.2580713E-04  4.0123915E-06  2.4894094E-03  1.1290155E-03  2.1058747E-02  6.0560336E-02  1.8181471E-01  8.2438145E-04  3.2580713E-04  1.7791934E-04  0.0000000E+00  5.0064779E-03
  2.0000000E-10  1.7693343E-04  3.1887960E-04  4.0797847E-06  2.4054089E-03  1.0898017E-03  2.0020523E-02  5.8930980E-02  1.7728050E-01  8.0876786E-04  3.1887960E-04  1.7693343E-04  2.0000000E-10  5.0420707E-03
  1.9201845E-06  1.7574769E-04  3.1213901E-04  4.1373001E-06  2.3241141E-03  1.0537750E-03  1.9053616E-02  5.7388006E-02  1.7296684E-01  7.9468224E-04  3.1213901E-04  1.7574769E-04  1.9201845E-06  5.0775281E-03
  6.8259009E-06  1.7440117E-04  3.0559342E-04  4.1837489E-06  2.2496094E-03  1.0190812E-03  1.8143324E-02  5.5923577E-02  1.6886413E-01  7.8043596E-04  3.0559342E-04  1.7440117E-04  6.8259009E-06  5.1126565E-03
  1.1232910E-05  1.7287324E-04  2.9916003E-04  4.2208443E-06  2.1787812E-03  9.8612374E-04  1.7299547E-02  5.4524576E-02  1.6493271E-01  7.6665515E-04  2.9916003E-04  1.7287324E-04  1.1232910E-05  5.1479252E-03
  1.5206991E-05  1.7126296E-04  2.9291473E-04  4.2510651E-06  2.1114535E-03  9.5483423E-04  1.6518464E-02  5.3186882E-02  1.6116224E-01  7.5334755E-04  2.9291473E-04  1.7126296E-04  1.5206991E-05  5.1833357E-03
  1.8788173E-05  1.6955696E-04  2.8682826E-04  4.2746137E-06  2.0473615E-03  9.2508097E-04  1.5792990E-02  5.1906608E-02  1.5754309E-01  7.4047601E-04  2.8682826E-04  1.6955696E-04  1.8788173E-05  5.2188897E-03
  2.2018364E-05  1.6777564E-04  2.8090065E-04  4.2922936E-06  1.9862955E-03  8.9676156E-04  1.5117984E-02  5.0680219E-02  1.5406641E-01  7.2813373E-04  2.8090065E-04  1.6777564E-04  2.2018364E-05  5.2545884E-03
  2.4932920E-05  1.6593459E-04  2.7513005E-04  4.3048042E-06  1.9280633E-03  8.6978331E-04  1.4488875E-02  4.9504463E-02  1.5072401E-01  7.1628464E-04  2.7513005E-04  1.6593459E-04  2.4932920E-05  5.2904328E-03
  2.7563983E-05  1.6404751E-04  2.6951626E-04  4.3127168E-06  1.8724864E-03  8.4406083E-04  1.3901587E-02  4.8376339E-02  1.4750835E-01  7.0480233E-04  2.6951626E-04  1.6404751E-04  2.7563983E-05  5.3264241E-03
  2.9919425E-05  1.6209051E-04  2.6402021E-04  4.3157988E-06  1.8193656E-03  8.1949211E-04  1.3351031E-02  4.7293040E-02  1.4441238E-01  6.9365537E-04  2.6402021E-04  1.6209051E-04  2.9919425E-05  5.3625644E-03
  3.2060132E-05  1.6014351E-04  2.5870858E-04  4.3160599E-06  1.7686160E-03  7.9605278E-04  1.2836722E-02  4.6252077E-02  1.4142968E-01  6.8286111E-04  2.5870858E-04  1.6014351E-04  3.2060132E-05  5.3988545E-03
  3.3990786E-05  1.5818011E-04  2.5355762E-04  4.3131498E-06  1.7200682E-03  7.7365248E-04  1.2354401E-02  4.5251047E-02  1.3855416E-01  6.7238623E-04  2.5355762E-04  1.5818011E-04  3.3990786E-05  5.4352962E-03
  3.5732938E-05  1.5620893E-04  2.4858665E-04  4.3074255E-06  1.6735899E-03  7.5222901E-04  1.1901440E-02  4.4287751E-02  1.3578023E-01  6.6222017E-04  2.4858665E-04  1.5620893E-04  3.5732938E-05  5.4718909E-03
  3.7303219E-05  1.5423504E-04  2.4375399E-04  4.2992608E-06  1.6290685E-03  7.3172633E-04  1.1475468E-02  4.3360149E-02  1.3310263E-01  6.5234881E-04  2.4375399E-04  1.5423504E-04  3.7303219E-05  5.5086397E-03
  3.8717171E-05  1.5226522E-04  2.3905607E-04  4.2889207E-06  1.5863827E-03  7.1209058E-04  1.1074348E-02  4.2466341E-02  1.3051651E-01  6.4275878E-04  2.3905607E-04  1.5226522E-04  3.8717171E-05  5.5455440E-03
  3.9990034E-05  1.5030319E-04  2.3448967E-04  4.2766799E-06  1.5454360E-03  6.9327231E-04  1.0696149E-02  4.1604563E-02  1.2801729E-01  6.3344001E-04  2.3448967E-04  1.5030319E-04  3.9990034E-05  5.5826062E-03
  4.1108123E-05  1.4831895E-04  2.3001811E-04  4.2620356E-06  1.5060931E-03  6.7520245E-04  1.0337667E-02  4.0773130E-02  1.2560068E-01  6.2436573E-04  2.3001811E-04  1.4831895E-04  4.1108123E-05  5.6198269E-03
  4.2131809E-05  1.4638010E-04  2.2570116E-04  4.2465829E-06  1.4683407E-03  6.5788462E-04  1.0000121E-02  3.9970571E-02  1.2326277E-01  6.1555398E-04  2.2570116E-04  1.4638010E-04  4.2131809E-05  5.6572084E-03
  4.3048080E-05  1.4445916E-04  2.2150375E-04  4.2298380E-06  1.4320552E-03  6.4125842E-04  9.6807104E-03  3.9195423E-02  1.2099980E-01  6.0699963E-04  2.2150375E-04  1.4445916E-04  4.3048080E-05  5.6947516E-03
  4.3866530E-05  1.4255823E-04  2.1742390E-04  4.2119713E-06  1.3971605E-03  6.2528455E-04  9.3781240E-03  3.8446339E-02  1.1880824E-01  5.9898155E-04  2.1742390E-04  1.4255823E-04  4.3866530E-05  5.7324583E-03
  4.4595687E-05  1.4067850E-04  2.1345650E-04  4.1930935E-06  1.3635871E-03  6.0992913E-04  9.0911646E-03  3.7722062E-02  1.1668482E-01  5.9135928E-04  2.1345650E-04  1.4067850E-04  4.4595687E-05  5.7703305E-03
  4.5242437E-05  1.3882046E-04  2.0959734E-04  4.1733540E-06  1.3312648E-03  5.9517339E-04  8.8187393E-03  3.7021411E-02  1.1462645E-01  5.8392430E-04  2.0959734E-04  1.3882046E-04  4.5242437E-05  5.8083693E-03
  4.5815108E-05  1.3698812E-04  2.0584450E-04  4.1529103E-06  1.3001324E-03  5.8099689E-04  8.5598499E-03  3.6343283E-02  1.1263021E-01  5.7667124E-04  2.0584450E-04  1.3698812E-04  4.5815108E-05  5.8465767E-03
  4.6318923E-05  1.3518062E-04  2.0219329E-04  4.1318437E-06  1.2701306E-03  5.6734757E-04  8.3135812E-03  3.5686636E-02  1.1069337E-01  5.6959239E-04  2.0219329E-04  1.3518062E-04  4.6318923E-05  5.8849543E-03
  0.0000000E+00  0.0000000E+00  2.0000000E-10  6.5130400E-05  7.9596600E-03  3.5656734E-03  1.7157983E-01  1.6806113E-01  4.6637735E-01  1.4387768E-03  2.0000000E-10  1.5000000E-09  0.0000000E+00  4.0264057E-03
  0.0000000E+00  0.0000000E+00  1.0441721E-04  4.9991131E-05  7.2011440E-03  3.2161916E-03  1.4570646E-01  1.5431745E-01  4.3255195E-01  1.3911057E-03  1.0441721E-04  1.5000000E-09  0.0000000E+00  4.0539571E-03
  0.0000000E+00  0.0000000E+00  1.7561154E-04  3.8025218E-05  6.5710662E-03  2.9293266E-03  1.2491140E-01  1.4270748E-01  4.0358710E-01  1.3451273E-03  1.7561154E-04  2.1000000E-09  0.0000000E+00  4.0824029E-03
  0.0000000E+00  0.0000000E+00  2.2432545E-04  2.8295672E-05  6.0324512E-03  2.6850182E-03  1.0808633E-01  1.3275064E-01  3.7844550E-01  1.3011830E-03  2.2432545E-04  1.8000000E-09  0.0000000E+00  4.1109281E-03
  0.0000000E+00  0.0000000E+00  2.5730422E-04  2.0289830E-05  5.5672908E-03  2.4739182E-03  9.4345453E-02  1.2411631E-01  3.5640288E-01  1.2593634E-03  2.5730422E-04  1.8000000E-09  0.0000000E+00  4.1395333E-03
  0.0000000E+00  0.0000000E+00  2.7944163E-04  1.3636522E-05  5.1619601E-03  2.2899277E-03  8.3015101E-02  1.1655573E-01  3.3690692E-01  1.2206232E-03  2.7944163E-04  2.5000000E-09  0.0000000E+00  4.1682187E-03
  0.0000000E+00  0.0000000E+00  2.9370243E-04  8.0601895E-06  4.8059445E-03  2.1283261E-03  7.3585235E-02  1.0987858E-01  3.1952948E-01  1.1835554E-03  2.9370243E-04  1.6000000E-09  0.0000000E+00  4.1969849E-03
  0.0000000E+00  9.3913271E-06  3.0226188E-04  3.3889461E-06  4.4934383E-03  1.9865336E-03  6.5656103E-02  1.0398182E-01  3.0405100E-01  1.1485309E-03  3.0226188E-04  9.3913271E-06  0.0000000E+00  4.2257919E-03
  0.0000000E+00  3.6110470E-05  3.0673810E-04  1.0000000E-06  4.2188816E-03  1.8620392E-03  5.8897176E-02  9.8767807E-02  2.9025516E-01  1.1157339E-03  3.0673810E-04  3.6110470E-05  0.0000000E+00  4.2545874E-03
  0.0000000E+00  5.7252568E-05  3.0818206E-04  1.0000000E-06  3.9709191E-03  1.7496309E-03  5.3106169E-02  9.4030888E-02  2.7763165E-01  1.0843752E-03  3.0818206E-04  5.7252568E-05  0.0000000E+00  4.2834696E-03
  0.0000000E+00  7.4031570E-05  3.0746627E-04  1.0000000E-06  3.7461667E-03  1.6478038E-03  4.8116616E-02  8.9708908E-02  2.6603597E-01  1.0544840E-03  3.0746627E-04  7.4031570E-05  0.0000000E+00  4.3124389E-03
  0.0000000E+00  8.7309151E-05  3.0509113E-04  1.0000000E-06  3.5416143E-03  1.5551838E-03  4.3791183E-02  8.5749820E-02  2.5534629E-01  1.0259819E-03  3.0509113E-04  8.7309151E-05  0.0000000E+00  4.3414964E-03
  0.0000000E+00  9.7829196E-05  3.0156591E-04  1.0000000E-06  3.3548879E-03  1.4707075E-03  4.0023447E-02  8.2110070E-02  2.4545956E-01  9.9884994E-04  3.0156591E-04  9.7829196E-05  0.0000000E+00  4.3706423E-03
  0.0000000E+00  1.0609099E-04  2.9715323E-04  1.0528637E-06  3.1838008E-03  1.3933654E-03  3.6722961E-02  7.8752640E-02  2.3628765E-01  9.7299210E-04  2.9715323E-04  1.0609099E-04  0.0000000E+00  4.3998776E-03
  0.0000000E+00  1.1257391E-04  2.9216713E-04  1.4470752E-06  3.0266563E-03  1.3224013E-03  3.3819887E-02  7.5646108E-02  2.2775510E-01  9.4837653E-04  2.9216713E-04  1.1257391E-04  0.0000000E+00  4.4292026E-03
  0.0000000E+00  1.1759777E-04  2.8676456E-04  1.7827508E-06  2.8818785E-03  1.2570873E-03  3.1254134E-02  7.2763490E-02  2.1979666E-01  9.2491548E-04  2.8676456E-04  1.1759777E-04  0.0000000E+00  4.4586180E-03
  0.0000000E+00  1.2139839E-04  2.8110887E-04  2.0684622E-06  2.7481031E-03  1.1967989E-03  2.8975608E-02  7.0081491E-02  2.1235571E-01  9.0252883E-04  2.8110887E-04  1.2139839E-04  0.0000000E+00  4.4881246E-03
  0.0000000E+00  1.2425428E-04  2.7541112E-04  2.3131668E-06  2.6242580E-03  1.1410519E-03  2.6945999E-02  6.7580038E-02  2.0538298E-01  8.8118178E-04  2.7541112E-04  1.2425428E-04  0.0000000E+00  4.5177228E-03
  0.0000000E+00  1.2631613E-04  2.6962593E-04  2.5225989E-06  2.5093173E-03  1.0893745E-03  2.5130383E-02  6.5241564E-02  1.9883519E-01  8.6079975E-04  2.6962593E-04  1.2631613E-04  0.0000000E+00  4.5474132E-03
  0.0000000E+00  1.2769151E-04  2.6378094E-04  2.7011728E-06  2.4023683E-03  1.0413400E-03  2.3499137E-02  6.3050686E-02  1.9267428E-01  8.4131156E-04  2.6378094E-04  1.2769151E-04  0.0000000E+00  4.5771970E-03
  0.0000000E+00  1.2855606E-04  2.5798325E-04  2.8545165E-06  2.3027108E-03  9.9663935E-04  2.2030429E-02  6.0994001E-02  1.8686674E-01  8.2271675E-04  2.5798325E-04  1.2855606E-04  0.0000000E+00  4.6070744E-03
  0.0000000E+00  1.2897956E-04  2.5224590E-04  2.9857553E-06  2.2096461E-03  9.5494873E-04  2.0702920E-02  5.9059594E-02  1.8138271E-01  8.0536710E-04  2.5224590E-04  1.2897956E-04  0.0000000E+00  4.6370461E-03
  0.0000000E+00  1.2903714E-04  2.4659156E-04  3.0979363E-06  2.1225766E-03  9.1599250E-04  1.9499302E-02  5.7236939E-02  1.7619571E-01  7.8874541E-04  2.4659156E-04  1.2903714E-04  0.0000000E+00  4.6671130E-03
  0.0000000E+00  1.2876449E-04  2.4101309E-04  3.1928737E-06  2.0409387E-03  8.7950253E-04  1.8403600E-02  5.5516653E-02  1.7128202E-01  7.7277584E-04  2.4101309E-04  1.2876449E-04  0.0000000E+00  4.6972756E-03
  0.0000000E+00  1.2827010E-04  2.3558150E-04  3.2742363E-06  1.9643301E-03  8.4531167E-04  1.7405322E-02  5.3890466E-02  1.6662049E-01  7.5764338E-04  2.3558150E-04  1.2827010E-04  0.0000000E+00  4.7275349E-03
  0.0000000E+00  1.2757730E-04  2.3028038E-04  3.3431190E-06  1.8923017E-03  8.1320506E-04  1.6492493E-02  5.2350889E-02  1.6219205E-01  7.4310686E-04  2.3028038E-04  1.2757730E-04  0.0000000E+00  4.7578912E-03
  4.0000000E-10  1.2671552E-04  2.2511416E-04  3.4011931E-06  1.8244766E-03  7.8300956E-04  1.5655651E-02  5.0891231E-02  1.5797951E-01  7.2911958E-04  2.2511416E-04  1.2671552E-04  4.0000000E-10  4.7883455E-03
  1.3946011E-06  1.2572205E-04  2.2010119E-04  3.4509313E-06  1.7587246E-03  7.5549940E-04  1.4878697E-02  4.9510567E-02  1.5397681E-01  7.1643488E-04  2.2010119E-04  1.2572205E-04  1.3946011E-06  4.8186598E-03
  4.9495469E-06  1.2459336E-04  2.1524502E-04  3.4906435E-06  1.6988324E-03  7.2890627E-04  1.4148457E-02  4.8201547E-02  1.5017439E-01  7.0382638E-04  2.1524502E-04  1.2459336E-04  4.9495469E-06  4.8486474E-03
  8.1472019E-06  1.2341218E-04  2.1054224E-04  3.5236876E-06  1.6420824E-03  7.0374516E-04  1.3475223E-02  4.6952403E-02  1.4653502E-01  6.9194373E-04  2.1054224E-04  1.2341218E-04  8.1472019E-06  4.8787545E-03
  1.1023302E-05  1.2215224E-04  2.0596396E-04  3.5503664E-06  1.5882273E-03  6.7989580E-04  1.2852372E-02  4.5759202E-02  1.4304855E-01  6.8043148E-04  2.0596396E-04  1.2215224E-04  1.1023302E-05  4.9089817E-03
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  2.1635636E-05  1.1513931E-04  1.8488008E-04  3.6109074E-06  1.3559779E-03  5.7739817E-04  1.0339996E-02  4.0516997E-02  1.2760870E-01  6.2788670E-04  1.8488008E-04  1.1513931E-04  2.1635636E-05  5.0619621E-03
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  2.7941022E-05  1.0778393E-04  1.6669616E-04  3.5941706E-06  1.1724972E-03  4.9691382E-04  8.5484078E-03  3.6243361E-02  1.1486296E-01  5.8411380E-04  1.6669616E-04  1.0778393E-04  2.7941022E-05  5.2181220E-03
  2.8827365E-05  1.0629740E-04  1.6334537E-04  3.5843723E-06  1.1403956E-03  4.8287562E-04  8.2507116E-03  3.5482238E-02  1.1257696E-01  5.7615722E-04  1.6334537E-04  1.0629740E-04  2.8827365E-05  5.2497488E-03
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  3.0366685E-05  1.0342584E-04  1.5698625E-04  3.5618761E-06  1.0801933E-03  4.5660766E-04  7.7070989E-03  3.4040935E-02  1.0823391E-01  5.6086518E-04  1.5698625E-04  1.0342584E-04  3.0366685E-05  5.3134077E-03
  3.1016226E-05  1.0201534E-04  1.5394446E-04  3.5489039E-06  1.0519184E-03  4.4429339E-04  7.4575308E-03  3.3357998E-02  1.0616946E-01  5.5350421E-04  1.5394446E-04  1.0201534E-04  3.1016226E-05  5.3454423E-03
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  3.2563674E-05  9.7886278E-05  1.4536706E-04  3.5046912E-06  9.7362956E-04  4.1067923E-04  6.7852407E-03  3.1445383E-02  1.0036453E-01  5.3318258E-04  1.4536706E-04  9.7886278E-05  3.2563674E-05  5.4423836E-03
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  0.0000000E+00  0.0000000E+00  1.6208715E-04  1.0000000E-06  4.8543989E-03  2.0511525E-03  9.1482737E-02  1.1827941E-01  3.4854723E-01  1.2127462E-03  1.6208715E-04  2.8000000E-09  0.0000000E+00  3.9479046E-03
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  3.5520595E-06  8.7829807E-05  1.4901815E-04  3.0836329E-06  1.2509008E-03  5.0383721E-04  1.0922152E-02  4.1324731E-02  1.3282437E-01  6.5349304E-04  1.4901815E-04  8.7829807E-05  3.5520595E-06  4.5756138E-03
  5.8373748E-06  8.6894949E-05  1.4558110E-04  3.1070355E-06  1.2063495E-03  4.8538505E-04  1.0390164E-02  4.0216681E-02  1.2947886E-01  6.4246276E-04  1.4558110E-04  8.6894949E-05  5.8373748E-06  4.6011595E-03
  7.8958306E-06  8.5936477E-05  1.4228961E-04  3.1259175E-06  1.1641983E-03  4.6795522E-04  9.9000120E-03  3.9159369E-02  1.2627752E-01  6.3204430E-04  1.4228961E-04  8.5936477E-05  7.8958306E-06  4.6268065E-03
  9.7466659E-06  8.4939546E-05  1.3913193E-04  3.1403105E-06  1.1242512E-03  4.5147332E-04  9.4465798E-03  3.8149474E-02  1.2321140E-01  6.2192945E-04  1.3913193E-04  8.4939546E-05  9.7466659E-06  4.6525559E-03
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  1.7542666E-05  7.8539953E-05  1.2201646E-04  3.1573988E-06  9.2404956E-04  3.6938027E-04  7.3217372E-03  3.2932974E-02  1.0723650E-01  5.6713419E-04  1.2201646E-04  7.8539953E-05  1.7542666E-05  4.8092516E-03
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  1.9224348E-05  7.6389317E-05  1.1697980E-04  3.1453938E-06  8.6939603E-04  3.4709846E-04  6.7853340E-03  3.1461696E-02  1.0268666E-01  5.5191870E-04  1.1697980E-04  7.6389317E-05  1.9224348E-05  4.8623456E-03
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  2.1649062E-05  7.2154971E-05  1.0775712E-04  3.1048112E-06  7.7385663E-04  3.0903738E-04  5.8907617E-03  2.8837060E-02  9.4517815E-02  5.2379595E-04  1.0775712E-04  7.2154971E-05  2.1649062E-05  4.9698761E-03
  2.2105702E-05  7.1129896E-05  1.0562584E-04  3.0923936E-06  7.5253096E-04  3.0055364E-04  5.6981411E-03  2.8239225E-02  9.2647305E-02  5.1717233E-04  1.0562584E-04  7.1129896E-05  2.2105702E-05  4.9970448E-03
  2.2512625E-05  7.0118835E-05  1.0355861E-04  3.0792572E-06  7.3214521E-04  2.9242782E-04  5.5159884E-03  2.7662362E-02  9.0838818E-02  5.1070000E-04  1.0355861E-04  7.0118835E-05  2.2512625E-05  5.0243301E-03
  2.2873095E-05  6.9122852E-05  1.0156294E-04  3.0654623E-06  7.1259643E-04  2.8463898E-04  5.3435290E-03  2.7105426E-02  8.9089402E-02  5.0437349E-04  1.0156294E-04  6.9122852E-05  2.2873095E-05  5.0517335E-03
  2.3191416E-05  6.8140986E-05  9.9630011E-05  3.0511717E-06  6.9383144E-04  2.7716820E-04  5.1800593E-03  2.6567442E-02  8.7396281E-02  4.9818832E-04  9.9630011E-05  6.8140986E-05  2.3191416E-05  5.0792557E-03
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  7.0000000E-10  6.2242491E-05  1.0795588E-04  2.8065829E-06  9.7182214E-04  3.6873710E-04  9.2585891E-03  3.7340628E-02  1.2338574E-01  6.4066739E-04  1.0795588E-04  6.2242491E-05  7.0000000E-10  4.2528514E-03
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  6.9083896E-06  5.8968052E-05  9.6790125E-05  2.8734889E-06  8.0039352E-04  3.0429403E-04  7.1861602E-03  3.2437183E-02  1.0804943E-01  5.8978279E-04  9.6790125E-05  5.8968052E-05  6.9083896E-06  4.3611842E-03
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  9.1476515E-06  5.7490671E-05  9.2736759E-05  2.8760569E-06  7.4516455E-04  2.8376929E-04  6.5612180E-03  3.0778282E-02  1.0281284E-01  5.7194249E-04  9.2736759E-05  5.7490671E-05  9.1476515E-06  4.4049601E-03
  1.0090866E-05  5.6716212E-05  9.0775976E-05  2.8732962E-06  7.1983685E-04  2.7451058E-04  6.2809624E-03  3.0002495E-02  1.0035487E-01  5.6336250E-04  9.0775976E-05  5.6716212E-05  1.0090866E-05  4.4269798E-03
  1.0947953E-05  5.5962134E-05  8.8887622E-05  2.8690387E-06  6.9580638E-04  2.6585375E-04  6.0210182E-03  2.9259619E-02  9.7995509E-02  5.5501442E-04  8.8887622E-05  5.5962134E-05  1.0947953E-05  4.4490884E-03
  1.1719840E-05  5.5208119E-05  8.7052659E-05  2.8630980E-06  6.7296864E-04  2.5762468E-04  5.7786781E-03  2.8547662E-02  9.5729088E-02  5.4688106E-04  8.7052659E-05  5.5208119E-05  1.1719840E-05  4.4712868E-03
  1.2413613E-05  5.4452692E-05  8.5270710E-05  2.8556037E-06  6.5124221E-04  2.4979267E-04  5.5523580E-03  2.7864810E-02  9.3550378E-02  5.3895591E-04  8.5270710E-05  5.4452692E-05  1.2413613E-05  4.4935760E-03
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  1.5614992E-05  4.9290808E-05  7.4137365E-05  2.7747132E-06  5.2523703E-04  2.0420374E-04  4.3136181E-03  2.3773128E-02  8.0388158E-02  4.8930307E-04  7.4137365E-05  4.9290808E-05  1.5614992E-05  4.6522089E-03
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  1.6371586E-05  4.7211324E-05  7.0028005E-05  2.7314245E-06  4.8360181E-04  1.8897880E-04  3.9199670E-03  2.2321478E-02  7.5670987E-02  4.7079051E-04  7.0028005E-05  4.7211324E-05  1.6371586E-05  4.7216428E-03
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  0.0000000E+00  3.3766433E-06  1.0387520E-04  1.0000000E-06  2.0519106E-03  7.5497414E-04  3.5049547E-02  7.0190081E-02  2.2633440E-01  9.7093163E-04  1.0387520E-04  3.3766433E-06  0.0000000E+00  3.6424923E-03
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  0.0000000E+00  2.0403564E-05  1.0541276E-04  1.0000000E-06  1.7587937E-03  6.4325828E-04  2.7363204E-02  6.2727989E-02  2.0412379E-01  9.1352337E-04  1.0541276E-04  2.0403564E-05  0.0000000E+00  3.6775349E-03
  0.0000000E+00  2.6276968E-05  1.0503582E-04  1.0000000E-06  1.6366031E-03  5.9737252E-04  2.4407250E-02  5.9519239E-02  1.9448122E-01  8.8782428E-04  1.0503582E-04  2.6276968E-05  0.0000000E+00  3.6951340E-03
  0.0000000E+00  3.0863412E-05  1.0413457E-04  1.2691630E-06  1.5269955E-03  5.5621347E-04  2.1895069E-02  5.6597808E-02  1.8565112E-01  8.6354890E-04  1.0413457E-04  3.0863412E-05  0.0000000E+00  3.7127846E-03
  0.0000000E+00  3.4456526E-05  1.0290235E-04  1.5305350E-06  1.4282666E-03  5.1952309E-04  1.9747598E-02  5.3927575E-02  1.7753585E-01  8.4048930E-04  1.0290235E-04  3.4456526E-05  0.0000000E+00  3.7304880E-03
  0.0000000E+00  3.7226994E-05  1.0137122E-04  1.7468454E-06  1.3389396E-03  4.8652937E-04  1.7899324E-02  5.1478052E-02  1.7005264E-01  8.1847235E-04  1.0137122E-04  3.7226994E-05  0.0000000E+00  3.7482439E-03
  0.0000000E+00  3.9373276E-05  9.9713907E-05  1.9268782E-06  1.2580908E-03  4.5661330E-04  1.6300707E-02  4.9223546E-02  1.6313107E-01  7.9746309E-04  9.9713907E-05  3.9373276E-05  0.0000000E+00  3.7660531E-03
  0.0000000E+00  4.1036594E-05  9.7915749E-05  2.0765126E-06  1.1847285E-03  4.2939228E-04  1.4910014E-02  4.7142089E-02  1.5671069E-01  7.7740524E-04  9.7915749E-05  4.1036594E-05  0.0000000E+00  3.7839155E-03
  0.0000000E+00  4.2284879E-05  9.6027415E-05  2.2002955E-06  1.1176837E-03  4.0453030E-04  1.3693119E-02  4.5214858E-02  1.5073941E-01  7.5897273E-04  9.6027415E-05  4.2284879E-05  0.0000000E+00  3.8018324E-03
  0.0000000E+00  4.3241080E-05  9.4093755E-05  2.3033612E-06  1.0562882E-03  3.8178965E-04  1.2624512E-02  4.3425709E-02  1.4517214E-01  7.4143494E-04  9.4093755E-05  4.3241080E-05  0.0000000E+00  3.8198031E-03
  0.0000000E+00  4.3925674E-05  9.2124915E-05  2.3886196E-06  1.0000447E-03  3.6091952E-04  1.1681237E-02  4.1760599E-02  1.3996959E-01  7.2461768E-04  9.2124915E-05  4.3925674E-05  0.0000000E+00  3.8378288E-03
  0.0000000E+00  4.4384732E-05  9.0145911E-05  2.4588749E-06  9.4877842E-04  3.4221501E-04  1.0847127E-02  4.0207317E-02  1.3509736E-01  7.0848284E-04  9.0145911E-05  4.4384732E-05  0.0000000E+00  3.8559091E-03
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  0.0000000E+00  4.4739893E-05  8.4264712E-05  2.6002510E-06  8.1697026E-04  2.9662969E-04  8.8484667E-03  3.6118063E-02  1.2217804E-01  6.6528712E-04  8.4264712E-05  4.4739893E-05  0.0000000E+00  3.9104849E-03
  0.0000000E+00  4.4623970E-05  8.2369471E-05  2.6300612E-06  7.7921368E-04  2.8355518E-04  8.3123375E-03  3.4917524E-02  1.1835837E-01  6.5269120E-04  8.2369471E-05  4.4623970E-05  0.0000000E+00  3.9287896E-03
  0.0000000E+00  4.4404684E-05  8.0497080E-05  2.6526658E-06  7.4410440E-04  2.7135960E-04  7.8266453E-03  3.3786716E-02  1.1474897E-01  6.4050847E-04  8.0497080E-05  4.4404684E-05  0.0000000E+00  3.9471510E-03
  0.0000000E+00  4.4131553E-05  7.8683417E-05  2.6700781E-06  7.1147250E-04  2.6001215E-04  7.3867886E-03  3.2719920E-02  1.1133319E-01  6.2873796E-04  7.8683417E-05  4.4131553E-05  0.0000000E+00  3.9655703E-03
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  4.9858695E-07  4.3425187E-05  7.5199864E-05  2.6916406E-06  6.5131415E-04  2.4055196E-04  6.6180952E-03  3.0761812E-02  1.0503114E-01  6.0693952E-04  7.5199864E-05  4.3425187E-05  4.9858695E-07  4.0023838E-03
  1.7675956E-06  4.3010309E-05  7.3534351E-05  2.6963415E-06  6.2557036E-04  2.3156787E-04  6.2754526E-03  2.9863803E-02  1.0212997E-01  5.9639548E-04  7.3534351E-05  4.3010309E-05  1.7675956E-06  4.0204214E-03
  2.9017018E-06  4.2545135E-05  7.1893447E-05  2.6974416E-06  6.0146742E-04  2.2328081E-04  5.9600876E-03  2.9009494E-02  9.9362587E-02  5.8615080E-04  7.1893447E-05  4.2545135E-05  2.9017018E-06  4.0385291E-03
  3.9225493E-06  4.2071258E-05  7.0312173E-05  2.6963157E-06  5.7875772E-04  2.1547055E-04  5.6707488E-03  2.8195951E-02  9.6720287E-02  5.7636702E-04  7.0312173E-05  4.2071258E-05  3.9225493E-06  4.0567073E-03
  4.8410697E-06  4.1578083E-05  6.8773901E-05  2.6928534E-06  5.5731954E-04  2.0809013E-04  5.4039773E-03  2.7420427E-02  9.4195030E-02  5.6696673E-04  6.8773901E-05  4.1578083E-05  4.8410697E-06  4.0749571E-03
  5.6673376E-06  4.1069268E-05  6.7279032E-05  2.6874251E-06  5.3713116E-04  2.0116740E-04  5.1574737E-03  2.6680428E-02  9.1779464E-02  5.5787622E-04  6.7279032E-05  4.1069268E-05  5.6673376E-06  4.0932786E-03
  6.4103013E-06  4.0550915E-05  6.5826403E-05  2.6802343E-06  5.1806571E-04  1.9466346E-04  4.9292180E-03  2.5973672E-02  8.9466825E-02  5.4910043E-04  6.5826403E-05  4.0550915E-05  6.4103013E-06  4.1116728E-03
  7.0697568E-06  4.0008966E-05  6.4400449E-05  2.6711297E-06  5.0005270E-04  1.8848501E-04  4.7165723E-03  2.5298043E-02  8.7250871E-02  5.4070956E-04  6.4400449E-05  4.0008966E-05  7.0697568E-06  4.1301404E-03
  7.6698672E-06  3.9476367E-05  6.3029419E-05  2.6611812E-06  4.8298991E-04  1.8263148E-04  4.5196074E-03  2.4651655E-02  8.5125903E-02  5.3253963E-04  6.3029419E-05  3.9476367E-05  7.6698672E-06  4.1486820E-03
  8.2100619E-06  3.8940583E-05  6.1699059E-05  2.6501454E-06  4.6692163E-04  1.7709993E-04  4.3361443E-03  2.4032720E-02  8.3086605E-02  5.2457642E-04  6.1699059E-05  3.8940583E-05  8.2100619E-06  4.1672981E-03
  8.6959347E-06  3.8404132E-05  6.0407919E-05  2.6381670E-06  4.5181388E-04  1.7197231E-04  4.1649479E-03  2.3439597E-02  8.1128073E-02  5.1681184E-04  6.0407919E-05  3.8404132E-05  8.6959347E-06  4.1859896E-03
  9.1326269E-06  3.7868314E-05  5.9155698E-05  2.6253988E-06  4.3745247E-04  1.6716519E-04  4.0049196E-03  2.2870779E-02  7.9245773E-02  5.0924183E-04  5.9155698E-05  3.7868314E-05  9.1326269E-06  4.2047569E-03
  9.5244292E-06  3.7334513E-05  5.7939422E-05  2.6119859E-06  4.2414867E-04  1.6260622E-04  3.8550801E-03  2.2324866E-02  7.7435487E-02  5.0185889E-04  5.7939422E-05  3.7334513E-05  9.5244292E-06  4.2236013E-03
  9.8764987E-06  3.6804086E-05  5.6759595E-05  2.5980134E-06  4.1155148E-04  1.5827178E-04  3.7145538E-03  2.1800567E-02  7.5693310E-02  4.9465717E-04  5.6759595E-05  3.6804086E-05  9.8764987E-06  4.2425231E-03
  1.0177791E-05  3.6261898E-05  5.5599346E-05  2.5831157E-06  3.9951898E-04  1.5412245E-04  3.5816845E-03  2.1296655E-02  7.4015581E-02  4.8762123E-04  5.5599346E-05  3.6261898E-05  1.0177791E-05  4.2615231E-03
  1.0458253E-05  3.5739597E-05  5.4486907E-05  2.5682998E-06  3.8804637E-04  1.5016509E-04  3.4574526E-03  2.0812062E-02  7.2398957E-02  4.8076433E-04  5.4486907E-05  3.5739597E-05  1.0458253E-05  4.2806019E-03
  1.0708626E-05  3.5223200E-05  5.3407076E-05  2.5531389E-06  3.7708333E-04  1.4637903E-04  3.3406659E-03  2.0345729E-02  7.0840261E-02  4.7407170E-04  5.3407076E-05  3.5223200E-05  1.0708626E-05  4.2997608E-03
  1.0931215E-05  3.4712664E-05  5.2359272E-05  2.5377401E-06  3.6660420E-04  1.4275538E-04  3.2310558E-03  1.9896689E-02  6.9336544E-02  4.6753865E-04  5.2359272E-05  3.4712664E-05  1.0931215E-05  4.3190000E-03
  1.1128508E-05  3.4209082E-05  5.1341913E-05  2.5221674E-06  3.5657778E-04  1.3928418E-04  3.1275165E-03  1.9464043E-02  6.7885054E-02  4.6115963E-04  5.1341913E-05  3.4209082E-05  1.1128508E-05  4.3383206E-03
  1.1303421E-05  3.3712679E-05  5.0354300E-05  2.5064870E-06  3.4697837E-04  1.3595674E-04  3.0295834E-03  1.9046953E-02  6.6483217E-02  4.5493045E-04  5.0354300E-05  3.3712679E-05  1.1303421E-05  4.3577232E-03
  1.1457246E-05  3.3223744E-05  4.9394600E-05  2.4906874E-06  3.3778262E-04  1.3276548E-04  2.9368350E-03  1.8644632E-02  6.5128620E-02  4.4884532E-04  4.9394600E-05  3.3223744E-05  1.1457246E-05  4.3772085E-03
  1.1591984E-05  3.2743361E-05  4.8462649E-05  2.4748435E-06  3.2896750E-04  1.2970271E-04  2.8488897E-03  1.8256346E-02  6.3819004E-02  4.4290049E-04  4.8462649E-05  3.2743361E-05  1.1591984E-05  4.3967778E-03
  1.1709227E-05  3.2272354E-05  4.7557374E-05  2.4589837E-06  3.2051398E-04  1.2679333E-04  2.7654004E-03  1.7881408E-02  6.2552246E-02  4.3709137E-04  4.7557374E-05  3.2272354E-05  1.1709227E-05  4.4164316E-03
  0.0000000E+00  0.0000000E+00  2.7000000E-09  1.0000000E-06  3.2868127E-03  1.1963014E-03  9.4484078E-02  1.0642309E-01  3.3767795E-01  1.2828279E-03  2.7000000E-09  4.8000000E-09  0.0000000E+00  3.3376994E-03
  0.0000000E+00  0.0000000E+00  2.4895270E-05  1.0000000E-06  2.8688879E-03  1.0310622E-03  7.6234015E-02  9.6315326E-02  3.0846755E-01  1.2153820E-03  2.4895270E-05  4.8000000E-09  0.0000000E+00  3.3462510E-03
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  0.0000000E+00  0.0000000E+00  5.3996339E-05  1.0000000E-06  2.2467995E-03  7.9609159E-04  5.1809558E-02  8.0805983E-02  2.6291039E-01  1.1125775E-03  5.3996339E-05  4.8000000E-09  0.0000000E+00  3.3753565E-03
  0.0000000E+00  0.0000000E+00  6.2147472E-05  1.0000000E-06  2.0131469E-03  7.0961471E-04  4.3539690E-02  7.4724059E-02  2.4476657E-01  1.0691591E-03  6.2147472E-05  3.4000000E-09  0.0000000E+00  3.3899679E-03
  0.0000000E+00  0.0000000E+00  6.7615897E-05  1.0000000E-06  1.8159309E-03  6.3780624E-04  3.7009234E-02  6.9462394E-02  2.2892943E-01  1.0300870E-03  6.7615897E-05  4.1000000E-09  0.0000000E+00  3.4046191E-03
  0.0000000E+00  0.0000000E+00  7.1195481E-05  1.0000000E-06  1.6474935E-03  5.7689507E-04  3.1786817E-02  6.4867266E-02  2.1498482E-01  9.9391884E-04  7.1195481E-05  3.5000000E-09  0.0000000E+00  3.4193099E-03
  0.0000000E+00  2.3901865E-06  7.3354246E-05  1.0000000E-06  1.5040244E-03  5.2478166E-04  2.7565035E-02  6.0851244E-02  2.0270444E-01  9.6042398E-04  7.3354246E-05  2.3901865E-06  0.0000000E+00  3.4340079E-03
  0.0000000E+00  9.1684515E-06  7.4474381E-05  1.0000000E-06  1.3808358E-03  4.8008932E-04  2.4106013E-02  5.7334437E-02  1.9187400E-01  9.2929695E-04  7.4474381E-05  9.1684515E-06  0.0000000E+00  3.4486690E-03
  0.0000000E+00  1.4510944E-05  7.4836513E-05  1.2608796E-06  1.2730879E-03  4.4117514E-04  2.1232620E-02  5.4168107E-02  1.8206061E-01  8.9979283E-04  7.4836513E-05  1.4510944E-05  0.0000000E+00  3.4633728E-03
  0.0000000E+00  1.8733166E-05  7.4670781E-05  1.5324196E-06  1.1777397E-03  4.0749449E-04  1.8828298E-02  5.1303688E-02  1.7312947E-01  8.7207637E-04  7.4670781E-05  1.8733166E-05  0.0000000E+00  3.4781193E-03
  0.0000000E+00  2.2056222E-05  7.4086367E-05  1.7524759E-06  1.0930526E-03  3.7783288E-04  1.6800439E-02  4.8700959E-02  1.6496832E-01  8.4690027E-04  7.4086367E-05  2.2056222E-05  0.0000000E+00  3.4929093E-03
  0.0000000E+00  2.4681889E-05  7.3222563E-05  1.9318019E-06  1.0172394E-03  3.5299713E-04  1.5087626E-02  4.6326536E-02  1.5748310E-01  8.2309735E-04  7.3222563E-05  2.4681889E-05  0.0000000E+00  3.5077427E-03
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  0.0000000E+00  2.8320295E-05  7.0902127E-05  2.1954636E-06  8.8823207E-04  3.1034653E-04  1.2378615E-02  4.2154663E-02  1.4423428E-01  7.7886719E-04  7.0902127E-05  2.8320295E-05  0.0000000E+00  3.5375411E-03
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  0.0000000E+00  3.1894268E-05  6.3797810E-05  2.5157556E-06  6.6156114E-04  2.3586652E-04  8.1493669E-03  3.4201413E-02  1.1859959E-01  6.9233467E-04  6.3797810E-05  3.1894268E-05  0.0000000E+00  3.6128198E-03
  0.0000000E+00  3.2066923E-05  6.2348987E-05  2.5446773E-06  6.2743673E-04  2.2509158E-04  7.5793561E-03  3.2926279E-02  1.1443905E-01  6.7720848E-04  6.2348987E-05  3.2066923E-05  0.0000000E+00  3.6280122E-03
  0.0000000E+00  3.2129750E-05  6.0917138E-05  2.5660834E-06  5.9641311E-04  2.1514674E-04  7.0736024E-03  3.1733327E-02  1.1053296E-01  6.6301579E-04  6.0917138E-05  3.2129750E-05  0.0000000E+00  3.6432511E-03
  0.0000000E+00  3.2101938E-05  5.9508733E-05  2.5811679E-06  5.6797331E-04  2.0598268E-04  6.6206809E-03  3.0615064E-02  1.0685903E-01  6.4972636E-04  5.9508733E-05  3.2101938E-05  0.0000000E+00  3.6585364E-03
  0.0000000E+00  3.1985882E-05  5.8112611E-05  2.5904863E-06  5.4174892E-04  1.9749993E-04  6.2128233E-03  2.9564851E-02  1.0339747E-01  6.3697849E-04  5.8112611E-05  3.1985882E-05  0.0000000E+00  3.6738689E-03
  0.0000000E+00  3.1821616E-05  5.6761570E-05  2.5957096E-06  5.1785035E-04  1.8960174E-04  5.8454504E-03  2.8576860E-02  1.0013074E-01  6.2466554E-04  5.6761570E-05  3.1821616E-05  0.0000000E+00  3.6892486E-03
  0.0000000E+00  3.1608128E-05  5.5443843E-05  2.5971165E-06  4.9566111E-04  1.8222385E-04  5.5128972E-03  2.7645855E-02  9.7043097E-02  6.1276355E-04  5.5443843E-05  3.1608128E-05  0.0000000E+00  3.7046762E-03
  1.9000000E-09  3.1354476E-05  5.4162204E-05  2.5953754E-06  4.7494624E-04  1.7532386E-04  5.2108883E-03  2.6767175E-02  9.4120454E-02  6.0125633E-04  5.4162204E-05  3.1354476E-05  1.9000000E-09  3.7201516E-03
  3.5188018E-07  3.1068405E-05  5.2917830E-05  2.5915709E-06  4.5415524E-04  1.6952270E-04  4.9334357E-03  2.5939868E-02  9.1356606E-02  5.9079061E-04  5.2917830E-05  3.1068405E-05  3.5188018E-07  3.7354896E-03
  1.2424923E-06  3.0739727E-05  5.1696080E-05  2.5844412E-06  4.3622484E-04  1.6353798E-04  4.6752389E-03  2.5158715E-02  8.8743431E-02  5.8013162E-04  5.1696080E-05  3.0739727E-05  1.2424923E-06  3.7505417E-03
  2.0422888E-06  3.0402713E-05  5.0520814E-05  2.5758196E-06  4.1946075E-04  1.5790731E-04  4.4392350E-03  2.4416383E-02  8.6253583E-02  5.6979685E-04  5.0520814E-05  3.0402713E-05  2.0422888E-06  3.7656515E-03
  2.7600603E-06  3.0048329E-05  4.9377664E-05  2.5655063E-06  4.0369367E-04  1.5259416E-04  4.2224104E-03  2.3710161E-02  8.3878845E-02  5.5976619E-04  4.9377664E-05  3.0048329E-05  2.7600603E-06  3.7808201E-03
  3.4050909E-06  2.9680406E-05  4.8267140E-05  2.5538464E-06  3.8882645E-04  1.4758300E-04  4.0227263E-03  2.3037603E-02  8.1611709E-02  5.5002905E-04  4.8267140E-05  2.9680406E-05  3.4050909E-06  3.7960475E-03
  3.9849973E-06  2.9302894E-05  4.7189229E-05  2.5410443E-06  3.7480306E-04  1.4287641E-04  3.8384019E-03  2.2396468E-02  7.9445308E-02  5.4057495E-04  4.7189229E-05  2.9302894E-05  3.9849973E-06  3.8113344E-03
  4.5060655E-06  2.8917827E-05  4.6143253E-05  2.5272661E-06  3.6157645E-04  1.3841966E-04  3.6678774E-03  2.1784706E-02  7.7373328E-02  5.3139196E-04  4.6143253E-05  2.8917827E-05  4.5060655E-06  3.8266813E-03
  4.9667965E-06  2.8513432E-05  4.5114010E-05  2.5122817E-06  3.4908202E-04  1.3420637E-04  3.5090166E-03  2.1200421E-02  7.5389946E-02  5.2246299E-04  4.5114010E-05  2.8513432E-05  4.9667965E-06  3.8420892E-03
  5.3873522E-06  2.8119161E-05  4.4128381E-05  2.4970382E-06  3.3728398E-04  1.3025186E-04  3.3620794E-03  2.0641929E-02  7.3489859E-02  5.1379342E-04  4.4128381E-05  2.8119161E-05  5.3873522E-06  3.8575577E-03
  5.7656070E-06  2.7723777E-05  4.3172928E-05  2.4812861E-06  3.2609964E-04  1.2649587E-04  3.2252970E-03  2.0107622E-02  7.1668119E-02  5.0536670E-04  4.3172928E-05  2.7723777E-05  5.7656070E-06  3.8730884E-03
  6.1050905E-06  2.7327913E-05  4.2246262E-05  2.4651041E-06  3.1548466E-04  1.2292441E-04  3.0977260E-03  1.9596040E-02  6.9920164E-02  4.9717347E-04  4.2246262E-05  2.7327913E-05  6.1050905E-06  3.8886812E-03
  6.4105235E-06  2.6933233E-05  4.1347390E-05  2.4485937E-06  3.0540171E-04  1.1952640E-04  2.9785294E-03  1.9105832E-02  6.8241787E-02  4.8920503E-04  4.1347390E-05  2.6933233E-05  6.4105235E-06  3.9043369E-03
  6.6847606E-06  2.6540773E-05  4.0476641E-05  2.4318620E-06  2.9581557E-04  1.1628976E-04  2.8669626E-03  1.8635755E-02  6.6629079E-02  4.8145357E-04  4.0476641E-05  2.6540773E-05  6.6847606E-06  3.9200561E-03
  6.9305246E-06  2.6151359E-05  3.9632151E-05  2.4149496E-06  2.8669416E-04  1.1320720E-04  2.7623616E-03  1.8184651E-02  6.5078415E-02  4.7391106E-04  3.9632151E-05  2.6151359E-05  6.9305246E-06  3.9358394E-03
  7.1382282E-06  2.5751572E-05  3.8799146E-05  2.3975227E-06  2.7799166E-04  1.1030722E-04  2.6633542E-03  1.7751423E-02  6.3586375E-02  4.6668614E-04  3.8799146E-05  2.5751572E-05  7.1382282E-06  3.9516873E-03
  7.3334318E-06  2.5368500E-05  3.8004004E-05  2.3804067E-06  2.6971301E-04  1.0754667E-04  2.5709119E-03  1.7335139E-02  6.2149937E-02  4.5974822E-04  3.8004004E-05  2.5368500E-05  7.3334318E-06  3.9676005E-03
  7.5078368E-06  2.4990710E-05  3.7232568E-05  2.3632954E-06  2.6190220E-04  1.0490801E-04  2.4838316E-03  1.6934848E-02  6.0766131E-02  4.5298481E-04  3.7232568E-05  2.4990710E-05  7.5078368E-06  3.9835798E-03
  7.6627516E-06  2.4617327E-05  3.6484459E-05  2.3461962E-06  2.5455201E-04  1.0238468E-04  2.4016844E-03  1.6549701E-02  5.9432265E-02  4.4639002E-04  3.6484459E-05  2.4617327E-05  7.6627516E-06  3.9996254E-03
  7.8003698E-06  2.4249558E-05  3.5758701E-05  2.3291471E-06  2.4752769E-04  9.9969465E-05  2.3240839E-03  1.6178880E-02  5.8145735E-02  4.3995765E-04  3.5758701E-05  2.4249558E-05  7.8003698E-06  4.0157384E-03
  7.9216146E-06  2.3887179E-05  3.5054211E-05  2.3121921E-06  2.4081179E-04  9.7656317E-05  2.2506811E-03  1.5821649E-02  5.6904203E-02  4.3368254E-04  3.5054211E-05  2.3887179E-05  7.9216146E-06  4.0319190E-03
  8.0280718E-06  2.3530677E-05  3.4370739E-05  2.2953429E-06  2.3438304E-04  9.5439361E-05  2.1816026E-03  1.5477314E-02  5.5705450E-02  4.2755999E-04  3.4370739E-05  2.3530677E-05  8.0280718E-06  4.0481683E-03
  8.1212009E-06  2.3179873E-05  3.3707004E-05  2.2786290E-06  2.2822917E-04  9.3313284E-05  2.1161634E-03  1.5145225E-02  5.4547392E-02  4.2158409E-04  3.3707004E-05  2.3179873E-05  8.1212009E-06  4.0644867E-03
  8.1881633E-06  2.2821617E-05  3.3049152E-05  2.2616827E-06  2.2233952E-04  9.1267329E-05  2.0532469E-03  1.4824754E-02  5.3428061E-02  4.1574223E-04  3.3049152E-05  2.2821617E-05  8.1881633E-06  4.0808752E-03
  0.0000000E+00  0.0000000E+00  3.6000000E-09  1.0000000E-06  2.5159049E-03  8.7080820E-04  7.8889750E-02  9.3524367E-02  3.0685277E-01  1.3002525E-03  3.6000000E-09  2.8000000E-09  0.0000000E+00  3.1755320E-03
  0.0000000E+00  0.0000000E+00  1.7226974E-05  1.0000000E-06  2.1593096E-03  7.4210627E-04  6.2778574E-02  8.4330497E-02  2.7929700E-01  1.2336745E-03  1.7226974E-05  2.8000000E-09  0.0000000E+00  3.1884530E-03
  0.0000000E+00  0.0000000E+00  2.9334900E-05  1.0000000E-06  1.8804688E-03  6.4216601E-04  5.0691223E-02  7.6720573E-02  2.5617149E-01  1.1758837E-03  2.9334900E-05  2.4000000E-09  0.0000000E+00  3.2005326E-03
  0.0000000E+00  0.0000000E+00  3.7815672E-05  1.0000000E-06  1.6555703E-03  5.6293210E-04  4.1534950E-02  7.0308227E-02  2.3648238E-01  1.1240863E-03  3.7815672E-05  2.5000000E-09  0.0000000E+00  3.2126440E-03
  0.0000000E+00  0.0000000E+00  4.3637817E-05  1.0000000E-06  1.4693966E-03  4.9885147E-04  3.4497164E-02  6.4837178E-02  2.1952423E-01  1.0765317E-03  4.3637817E-05  1.2000000E-09  0.0000000E+00  3.2247881E-03
  0.0000000E+00  0.0000000E+00  4.7537441E-05  1.0000000E-06  1.3132174E-03  4.4564891E-04  2.9009900E-02  6.0117925E-02  2.0476941E-01  1.0324084E-03  4.7537441E-05  2.7000000E-09  0.0000000E+00  3.2369645E-03
  0.0000000E+00  0.0000000E+00  5.0047065E-05  1.0000000E-06  1.1819474E-03  4.0179404E-04  2.4673715E-02  5.6007778E-02  1.9181638E-01  9.9231671E-04  5.0047065E-05  1.7000000E-09  0.0000000E+00  3.2491738E-03
  0.0000000E+00  1.7166018E-06  5.1532800E-05  1.3288686E-06  1.0714785E-03  3.6582098E-04  2.1209300E-02  5.2424781E-02  1.8044078E-01  9.5630597E-04  5.1532800E-05  1.7166018E-06  0.0000000E+00  3.2613842E-03
  0.0000000E+00  6.5828888E-06  5.2280512E-05  1.6108291E-06  9.7752214E-04  3.3604183E-04  1.8413280E-02  4.9294619E-02  1.7043414E-01  9.2305588E-04  5.2280512E-05  6.5828888E-06  0.0000000E+00  3.2735546E-03
  0.0000000E+00  1.0413461E-05  5.2497509E-05  1.8333148E-06  8.9692570E-04  3.1069468E-04  1.6138253E-02  4.6482623E-02  1.6138885E-01  8.9171337E-04  5.2497509E-05  1.0413461E-05  0.0000000E+00  3.2857601E-03
  0.0000000E+00  1.3438086E-05  5.2359397E-05  2.0096752E-06  8.2725158E-04  2.8895525E-04  1.4247672E-02  4.3944075E-02  1.5317541E-01  8.6463383E-04  5.2359397E-05  1.3438086E-05  0.0000000E+00  3.2980007E-03
  0.0000000E+00  1.5809392E-05  5.1921472E-05  2.1483491E-06  7.6593701E-04  2.6992631E-04  1.2663178E-02  4.1642031E-02  1.4568623E-01  8.3930283E-04  5.1921472E-05  1.5809392E-05  0.0000000E+00  3.3102768E-03
  0.0000000E+00  1.7678618E-05  5.1290710E-05  2.2576339E-06  7.1197815E-04  2.5310027E-04  1.1326476E-02  3.9545897E-02  1.3883139E-01  8.1535517E-04  5.1290710E-05  1.7678618E-05  0.0000000E+00  3.3225886E-03
  0.0000000E+00  1.9124683E-05  5.0495575E-05  2.3424941E-06  6.6443916E-04  2.3790330E-04  1.0198700E-02  3.7629964E-02  1.3253504E-01  7.9342803E-04  5.0495575E-05  1.9124683E-05  0.0000000E+00  3.3349365E-03
  0.0000000E+00  2.0250408E-05  4.9607219E-05  2.4083244E-06  6.2244485E-04  2.2414310E-04  9.2356881E-03  3.5872655E-02  1.2673293E-01  7.7319541E-04  4.9607219E-05  2.0250408E-05  0.0000000E+00  3.3473205E-03
  0.0000000E+00  2.1109145E-05  4.8648365E-05  2.4583422E-06  5.8467640E-04  2.1173778E-04  8.4058767E-03  3.4255596E-02  1.2137014E-01  7.5378999E-04  4.8648365E-05  2.1109145E-05  0.0000000E+00  3.3597409E-03
  0.0000000E+00  2.1739760E-05  4.7630236E-05  2.4950694E-06  5.5038133E-04  2.0050533E-04  7.6860052E-03  3.2763104E-02  1.1639953E-01  7.3517204E-04  4.7630236E-05  2.1739760E-05  0.0000000E+00  3.3721981E-03
  0.0000000E+00  2.2204193E-05  4.6595907E-05  2.5216230E-06  5.1922308E-04  1.9022269E-04  7.0590825E-03  3.1381764E-02  1.1178048E-01  7.1732455E-04  4.6595907E-05  2.2204193E-05  0.0000000E+00  3.3846923E-03
  0.0000000E+00  2.2525683E-05  4.5549357E-05  2.5395421E-06  4.9072552E-04  1.8077862E-04  6.5098299E-03  3.0099956E-02  1.0747767E-01  7.0020699E-04  4.5549357E-05  2.2525683E-05  0.0000000E+00  3.3972239E-03
  0.0000000E+00  2.2730717E-05  4.4501655E-05  2.5504237E-06  4.6459307E-04  1.7208218E-04  6.0262366E-03  2.8907610E-02  1.0346036E-01  6.8378290E-04  4.4501655E-05  2.2730717E-05  0.0000000E+00  3.4097925E-03
  0.0000000E+00  2.2825964E-05  4.3447506E-05  2.5550162E-06  4.4055035E-04  1.6406736E-04  5.5977315E-03  2.7795933E-02  9.9701612E-02  6.6801011E-04  4.3447506E-05  2.2825964E-05  0.0000000E+00  3.4223992E-03
  0.0000000E+00  2.2855614E-05  4.2420270E-05  2.5552275E-06  4.1840604E-04  1.5673626E-04  5.2175112E-03  2.6757287E-02  9.6177789E-02  6.5287361E-04  4.2420270E-05  2.2855614E-05  0.0000000E+00  3.4350439E-03
  0.0000000E+00  2.2821005E-05  4.1415871E-05  2.5515222E-06  3.9795245E-04  1.4993748E-04  4.8782104E-03  2.5784908E-02  9.2867983E-02  6.3833187E-04  4.1415871E-05  2.2821005E-05  0.0000000E+00  3.4477268E-03
  0.0000000E+00  2.2734488E-05  4.0431876E-05  2.5445491E-06  3.7901895E-04  1.4361807E-04  4.5742019E-03  2.4872843E-02  8.9753692E-02  6.2435594E-04  4.0431876E-05  2.2734488E-05  0.0000000E+00  3.4604485E-03
  0.0000000E+00  2.2591605E-05  3.9457842E-05  2.5345659E-06  3.6152548E-04  1.3772671E-04  4.3000649E-03  2.4015802E-02  8.6818451E-02  6.1090796E-04  3.9457842E-05  2.2591605E-05  0.0000000E+00  3.4732089E-03
  0.0000000E+00  2.2427298E-05  3.8520523E-05  2.5227668E-06  3.4571170E-04  1.3223643E-04  4.0531442E-03  2.3209144E-02  8.4047626E-02  5.9797664E-04  3.8520523E-05  2.2427298E-05  0.0000000E+00  3.4860085E-03
  2.4000000E-09  2.2234217E-05  3.7608529E-05  2.5092308E-06  3.3110517E-04  1.2710550E-04  3.8294549E-03  2.2448679E-02  8.1428081E-02  5.8552838E-04  3.7608529E-05  2.2234217E-05  2.4000000E-09  3.4988473E-03
  2.5082953E-07  2.2018438E-05  3.6725222E-05  2.4948808E-06  3.1619663E-04  1.2260631E-04  3.6244893E-03  2.1733503E-02  7.8953764E-02  5.7416071E-04  3.6725222E-05  2.2018438E-05  2.5082953E-07  3.5115512E-03
  8.8343398E-07  2.1782682E-05  3.5867714E-05  2.4788899E-06  3.0362323E-04  1.1823471E-04  3.4348046E-03  2.1058923E-02  7.6617114E-02  5.6272406E-04  3.5867714E-05  2.1782682E-05  8.8343398E-07  3.5239793E-03
  1.4475975E-06  2.1519003E-05  3.5021124E-05  2.4615639E-06  2.9180263E-04  1.1411306E-04  3.2605845E-03  2.0418490E-02  7.4393197E-02  5.5191430E-04  3.5021124E-05  2.1519003E-05  1.4475975E-06  3.5364549E-03
  1.9548132E-06  2.1256186E-05  3.4210576E-05  2.4438322E-06  2.8069618E-04  1.1023498E-04  3.1013644E-03  1.9809838E-02  7.2274428E-02  5.4155809E-04  3.4210576E-05  2.1256186E-05  1.9548132E-06  3.5489782E-03
  2.4099026E-06  2.0984577E-05  3.3423479E-05  2.4255495E-06  2.7026639E-04  1.0657678E-04  2.9549379E-03  1.9230765E-02  7.0253825E-02  5.3152445E-04  3.3423479E-05  2.0984577E-05  2.4099026E-06  3.5615497E-03
  2.8181739E-06  2.0706821E-05  3.2659838E-05  2.4068237E-06  2.6049090E-04  1.0315589E-04  2.8199422E-03  1.8679276E-02  6.8325018E-02  5.2180026E-04  3.2659838E-05  2.0706821E-05  2.8181739E-06  3.5741700E-03
  3.1853982E-06  2.0424101E-05  3.1919242E-05  2.3877709E-06  2.5126785E-04  9.9954045E-05  2.6951878E-03  1.8153547E-02  6.6482160E-02  5.1237326E-04  3.1919242E-05  2.0424101E-05  3.1853982E-06  3.5868392E-03
  3.5090142E-06  2.0126618E-05  3.1189555E-05  2.3681520E-06  2.4254079E-04  9.6914827E-05  2.5789773E-03  1.7651889E-02  6.4719867E-02  5.0322318E-04  3.1189555E-05  2.0126618E-05  3.5090142E-06  3.5995582E-03
  3.8039583E-06  1.9838303E-05  3.0493039E-05  2.3487562E-06  2.3430784E-04  9.4050016E-05  2.4716546E-03  1.7172804E-02  6.3033234E-02  4.9435317E-04  3.0493039E-05  1.9838303E-05  3.8039583E-06  3.6123269E-03
  4.0692722E-06  1.9549750E-05  2.9817648E-05  2.3293082E-06  2.2652089E-04  9.1342498E-05  2.3718130E-03  1.6714868E-02  6.1417697E-02  4.8574573E-04  2.9817648E-05  1.9549750E-05  4.0692722E-06  3.6251459E-03
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  4.5209710E-06  1.8974620E-05  2.8529207E-05  2.2904793E-06  2.1213832E-04  8.6459946E-05  2.1918184E-03  1.5857360E-02  5.8383422E-02  4.6927565E-04  2.8529207E-05  1.8974620E-05  4.5209710E-06  3.6509377E-03
  4.7124728E-06  1.8690012E-05  2.7914774E-05  2.2712112E-06  2.0552964E-04  8.4226690E-05  2.1104817E-03  1.5455489E-02  5.6957208E-02  4.6139375E-04  2.7914774E-05  1.8690012E-05  4.7124728E-06  3.6639109E-03
  4.8839385E-06  1.8407376E-05  2.7319243E-05  2.2520948E-06  1.9929660E-04  8.2146138E-05  2.0342385E-03  1.5070151E-02  5.5587079E-02  4.5373469E-04  2.7319243E-05  1.8407376E-05  4.8839385E-06  3.6769367E-03
  5.0277595E-06  1.8115978E-05  2.6731093E-05  2.2327910E-06  1.9338009E-04  8.0186658E-05  1.9619800E-03  1.4700386E-02  5.4269931E-02  4.4628298E-04  2.6731093E-05  1.8115978E-05  5.0277595E-06  3.6900152E-03
  5.1634656E-06  1.7839188E-05  2.6171922E-05  2.2140325E-06  1.8775609E-04  7.8340301E-05  1.8946014E-03  1.4345351E-02  5.3002920E-02  4.3904413E-04  2.6171922E-05  1.7839188E-05  5.1634656E-06  3.7031469E-03
  5.2843522E-06  1.7565688E-05  2.5630520E-05  2.1954933E-06  1.8242703E-04  7.6588839E-05  1.8311275E-03  1.4004216E-02  5.1783356E-02  4.3200373E-04  2.5630520E-05  1.7565688E-05  5.2843522E-06  3.7163326E-03
  5.3913336E-06  1.7296201E-05  2.5105027E-05  2.1772068E-06  1.7734976E-04  7.4912326E-05  1.7712419E-03  1.3676226E-02  5.0608750E-02  4.2515383E-04  2.5105027E-05  1.7296201E-05  5.3913336E-06  3.7295726E-03
  5.4857702E-06  1.7030969E-05  2.4595794E-05  2.1591577E-06  1.7250348E-04  7.3306178E-05  1.7146603E-03  1.3360677E-02  4.9476776E-02  4.1848764E-04  2.4595794E-05  1.7030969E-05  5.4857702E-06  3.7428676E-03
  5.5686697E-06  1.6769711E-05  2.4101931E-05  2.1413983E-06  1.6787407E-04  7.1767156E-05  1.6611266E-03  1.3056914E-02  4.8385266E-02  4.1202160E-04  2.4101931E-05  1.6769711E-05  5.5686697E-06  3.7562180E-03
  5.6412264E-06  1.6512865E-05  2.3622853E-05  2.1239037E-06  1.6344864E-04  7.0290618E-05  1.6104092E-03  1.2764324E-02  4.7332191E-02  4.0575494E-04  2.3622853E-05  1.6512865E-05  5.6412264E-06  3.7696241E-03
  5.7043293E-06  1.6260248E-05  2.3157883E-05  2.1066825E-06  1.5921563E-04  6.8873503E-05  1.5622991E-03  1.2482339E-02  4.6315652E-02  3.9964986E-04  2.3157883E-05  1.6260248E-05  5.7043293E-06  3.7830869E-03
  5.7587181E-06  1.6012404E-05  2.2706845E-05  2.0897693E-06  1.5516384E-04  6.7539232E-05  1.5166065E-03  1.2210423E-02  4.5333874E-02  3.9370069E-04  2.2706845E-05  1.6012404E-05  5.7587181E-06  3.7966068E-03
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  0.0000000E+00  0.0000000E+00  2.6362866E-05  1.0000000E-06  1.1842778E-03  4.0959674E-04  3.2549000E-02  6.0771692E-02  2.1130485E-01  1.1413967E-03  2.6362866E-05  1.9000000E-09  0.0000000E+00  3.0849808E-03
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  2.9000000E-09  1.5560526E-05  2.5976628E-05  2.4094858E-06  2.2850823E-04  9.2324103E-05  2.7766766E-03  1.8698920E-02  6.9970642E-02  5.6802521E-04  2.5976628E-05  1.5560526E-05  2.9000000E-09  3.3207566E-03
  1.7905621E-07  1.5402072E-05  2.5362596E-05  2.3870988E-06  2.1764427E-04  8.9434797E-05  2.6286112E-03  1.8085337E-02  6.7772346E-02  5.5616240E-04  2.5362596E-05  1.5402072E-05  1.7905621E-07  3.3311934E-03
  6.2595467E-07  1.5219135E-05  2.4756200E-05  2.3637286E-06  2.0875611E-04  8.6542036E-05  2.4910964E-03  1.7507144E-02  6.5698788E-02  5.4433994E-04  2.4756200E-05  1.5219135E-05  6.2595467E-07  3.3413623E-03
  1.0261464E-06  1.5036062E-05  2.4176021E-05  2.3405641E-06  2.0044157E-04  8.3906140E-05  2.3657498E-03  1.6958812E-02  6.3727507E-02  5.3294240E-04  2.4176021E-05  1.5036062E-05  1.0261464E-06  3.3515697E-03
  1.3840261E-06  1.4845583E-05  2.3612381E-05  2.3173460E-06  1.9264558E-04  8.1418388E-05  2.2507605E-03  1.6438198E-02  6.1851462E-02  5.2194296E-04  2.3612381E-05  1.4845583E-05  1.3840261E-06  3.3618153E-03
  1.7054851E-06  1.4649196E-05  2.3064930E-05  2.2942212E-06  1.8532608E-04  7.9067180E-05  2.1449899E-03  1.5943368E-02  6.0064247E-02  5.1132303E-04  2.3064930E-05  1.4649196E-05  1.7054851E-06  3.3721003E-03
  1.9936634E-06  1.4448811E-05  2.2534126E-05  2.2712248E-06  1.7846874E-04  7.6842368E-05  2.0474494E-03  1.5472561E-02  5.8360006E-02  5.0106455E-04  2.2534126E-05  1.4448811E-05  1.9936634E-06  3.3824245E-03
  2.2523371E-06  1.4245505E-05  2.2019409E-05  2.2484442E-06  1.7202230E-04  7.4734929E-05  1.9575456E-03  1.5024163E-02  5.6733369E-02  4.9115082E-04  2.2019409E-05  1.4245505E-05  2.2523371E-06  3.3927881E-03
  2.4787027E-06  1.4029651E-05  2.1510635E-05  2.2255928E-06  1.6593656E-04  7.2742214E-05  1.8737111E-03  1.4596687E-02  5.5179400E-02  4.8155916E-04  2.1510635E-05  1.4029651E-05  2.4787027E-06  3.4031923E-03
  2.6857248E-06  1.3823435E-05  2.1026001E-05  2.2033375E-06  1.6020965E-04  7.0905353E-05  1.7963475E-03  1.4188810E-02  5.3693607E-02  4.7228667E-04  2.1026001E-05  1.3823435E-05  2.6857248E-06  3.4136366E-03
  2.8710403E-06  1.3616741E-05  2.0556533E-05  2.1814063E-06  1.5481857E-04  6.9172408E-05  1.7243499E-03  1.3799281E-02  5.2271806E-02  4.6331385E-04  2.0556533E-05  1.3616741E-05  2.8710403E-06  3.4241217E-03
  3.0369535E-06  1.3410555E-05  2.0101891E-05  2.1598273E-06  1.4976987E-04  6.7521419E-05  1.6572066E-03  1.3426959E-02  5.0910160E-02  4.5464883E-04  2.0101891E-05  1.3410555E-05  3.0369535E-06  3.4346479E-03
  3.1852122E-06  1.3205908E-05  1.9661151E-05  2.1386267E-06  1.4499130E-04  6.5960327E-05  1.5944660E-03  1.3070794E-02  4.9605123E-02  4.4627524E-04  1.9661151E-05  1.3205908E-05  3.1852122E-06  3.4452157E-03
  3.3177271E-06  1.3002687E-05  1.9234267E-05  2.1178195E-06  1.4049308E-04  6.4477153E-05  1.5357279E-03  1.2729817E-02  4.8353416E-02  4.3818082E-04  1.9234267E-05  1.3002687E-05  3.3177271E-06  3.4558256E-03
  3.4357951E-06  1.2801748E-05  1.8820506E-05  2.0974079E-06  1.3627274E-04  6.3060000E-05  1.4806373E-03  1.2403132E-02  4.7152002E-02  4.3033312E-04  1.8820506E-05  1.2801748E-05  3.4357951E-06  3.4664775E-03
  3.5328637E-06  1.2593945E-05  1.8409869E-05  2.0770754E-06  1.3225539E-04  6.1698665E-05  1.4282982E-03  1.2089890E-02  4.5998023E-02  4.2271458E-04  1.8409869E-05  1.2593945E-05  3.5328637E-06  3.4771722E-03
  3.6267298E-06  1.2398658E-05  1.8020687E-05  2.0574413E-06  1.2845902E-04  6.0439456E-05  1.3795476E-03  1.1789369E-02  4.4888951E-02  4.1532925E-04  1.8020687E-05  1.2398658E-05  3.6267298E-06  3.4879101E-03
  3.7096098E-06  1.2205799E-05  1.7643712E-05  2.0382325E-06  1.2493082E-04  5.9247965E-05  1.3335926E-03  1.1500835E-02  4.3822311E-02  4.0816130E-04  1.7643712E-05  1.2205799E-05  3.7096098E-06  3.4986915E-03
  3.7829431E-06  1.2015788E-05  1.7277968E-05  2.0194251E-06  1.2165624E-04  5.8104681E-05  1.2903253E-03  1.1223627E-02  4.2795843E-02  4.0123468E-04  1.7277968E-05  1.2015788E-05  3.7829431E-06  3.5095167E-03
  3.8477181E-06  1.1828599E-05  1.6923313E-05  2.0010176E-06  1.1853203E-04  5.7006737E-05  1.2498111E-03  1.0957138E-02  4.1807459E-02  3.9451518E-04  1.6923313E-05  1.1828599E-05  3.8477181E-06  3.5203863E-03
  3.9047519E-06  1.1644743E-05  1.6579591E-05  1.9830319E-06  1.1554959E-04  5.5951793E-05  1.2114472E-03  1.0700782E-02  4.0855147E-02  3.8798533E-04  1.6579591E-05  1.1644743E-05  3.9047519E-06  3.5313008E-03
  3.9543663E-06  1.1463800E-05  1.6246171E-05  1.9654462E-06  1.1270025E-04  5.4937241E-05  1.1750703E-03  1.0454033E-02  3.9937092E-02  3.8163669E-04  1.6246171E-05  1.1463800E-05  3.9543663E-06  3.5422603E-03
  3.9972862E-06  1.1285971E-05  1.5922726E-05  1.9482434E-06  1.0997629E-04  5.3960821E-05  1.1405329E-03  1.0216392E-02  3.9051578E-02  3.7546318E-04  1.5922726E-05  1.1285971E-05  3.9972862E-06  3.5532657E-03
  4.0245005E-06  1.1101105E-05  1.5599319E-05  1.9311318E-06  1.0736121E-04  5.3043444E-05  1.1071108E-03  9.9873806E-03  3.8196980E-02  3.6945075E-04  1.5599319E-05  1.1101105E-05  4.0245005E-06  3.5643169E-03
  0.0000000E+00  0.0000000E+00  4.0000000E-09  1.0000000E-06  1.3403569E-03  4.8153190E-04  5.2226717E-02  7.0781968E-02  2.4856402E-01  1.3873071E-03  4.0000000E-09  1.1000000E-09  0.0000000E+00  3.0589359E-03
  0.0000000E+00  0.0000000E+00  8.0740991E-06  1.0000000E-06  1.1243397E-03  4.1208184E-04  3.9917243E-02  6.3355169E-02  2.2451469E-01  1.2997662E-03  8.0740991E-06  1.1000000E-09  0.0000000E+00  3.0801771E-03
  0.0000000E+00  0.0000000E+00  1.3861280E-05  1.1337056E-06  9.6720701E-04  3.5980161E-04  3.1127009E-02  5.7259085E-02  2.0450766E-01  1.2270804E-03  1.3861280E-05  3.2000000E-09  0.0000000E+00  3.0882667E-03
  0.0000000E+00  0.0000000E+00  1.7970897E-05  1.5889237E-06  8.4293725E-04  3.1733007E-04  2.4699650E-02  5.2157582E-02  1.8759735E-01  1.1691071E-03  1.7970897E-05  2.7000000E-09  0.0000000E+00  3.0963774E-03
  0.0000000E+00  0.0000000E+00  2.0814693E-05  1.9167740E-06  7.4172539E-04  2.8241704E-04  1.9989705E-02  4.7832487E-02  1.7313047E-01  1.1156662E-03  2.0814693E-05  2.1000000E-09  0.0000000E+00  3.1045091E-03
  0.0000000E+00  0.0000000E+00  2.2728238E-05  2.1522480E-06  6.5963478E-04  2.5340923E-04  1.6470551E-02  4.4123562E-02  1.6062174E-01  1.0663711E-03  2.2728238E-05  3.6000000E-09  0.0000000E+00  3.1126620E-03
  0.0000000E+00  0.0000000E+00  2.3953869E-05  2.3200089E-06  5.9117921E-04  2.2888514E-04  1.3776292E-02  4.0910924E-02  1.4970432E-01  1.0208424E-03  2.3953869E-05  3.0000000E-09  0.0000000E+00  3.1208362E-03
  0.0000000E+00  8.5607824E-07  2.4667887E-05  2.4369549E-06  5.3401217E-04  2.0812059E-04  1.1699834E-02  3.8124522E-02  1.4016845E-01  9.7903250E-04  2.4667887E-05  8.5607824E-07  0.0000000E+00  3.1290015E-03
  0.0000000E+00  3.2736449E-06  2.5021075E-05  2.5163184E-06  4.8561717E-04  1.9082348E-04  1.0057776E-02  3.5701783E-02  1.3182261E-01  9.4078931E-04  2.5021075E-05  3.2736449E-06  0.0000000E+00  3.1371175E-03
  0.0000000E+00  5.1685454E-06  2.5105400E-05  2.5685968E-06  4.4361248E-04  1.7558319E-04  8.7344989E-03  3.3534852E-02  1.2431407E-01  9.0503300E-04  2.5105400E-05  5.1685454E-06  0.0000000E+00  3.1452566E-03
  0.0000000E+00  6.6617810E-06  2.5014823E-05  2.6009060E-06  4.0676893E-04  1.6208113E-04  7.6500648E-03  3.1586777E-02  1.1752651E-01  8.7170220E-04  2.5014823E-05  6.6617810E-06  0.0000000E+00  3.1534182E-03
  0.0000000E+00  7.8255989E-06  2.4788776E-05  2.6172063E-06  3.7426768E-04  1.5004981E-04  6.7541249E-03  2.9827171E-02  1.1136380E-01  8.4084720E-04  2.4788776E-05  7.8255989E-06  0.0000000E+00  3.1616030E-03
  0.0000000E+00  8.7383899E-06  2.4482814E-05  2.6219394E-06  3.4547339E-04  1.3929134E-04  6.0100873E-03  2.8230984E-02  1.0574595E-01  8.1218853E-04  2.4482814E-05  8.7383899E-06  0.0000000E+00  3.1698110E-03
  0.0000000E+00  9.4390507E-06  2.4095003E-05  2.6172120E-06  3.2006727E-04  1.2977086E-04  5.3853458E-03  2.6777256E-02  1.0060580E-01  7.8545944E-04  2.4095003E-05  9.4390507E-06  0.0000000E+00  3.1780423E-03
  0.0000000E+00  9.9812490E-06  2.3668005E-05  2.6057762E-06  2.9769525E-04  1.2151944E-04  4.8570447E-03  2.5448461E-02  9.5886688E-02  7.6035328E-04  2.3668005E-05  9.9812490E-06  0.0000000E+00  3.1862971E-03
  0.0000000E+00  1.0390792E-05  2.3207349E-05  2.5890991E-06  2.7763439E-04  1.1430346E-04  4.4052254E-03  2.4229733E-02  9.1540414E-02  7.3692200E-04  2.3207349E-05  1.0390792E-05  0.0000000E+00  3.1945753E-03
  0.0000000E+00  1.0687416E-05  2.2712891E-05  2.5680702E-06  2.5995909E-04  1.0800889E-04  4.0163884E-03  2.3108435E-02  8.7525756E-02  7.1473680E-04  2.2712891E-05  1.0687416E-05  0.0000000E+00  3.2028777E-03
  0.0000000E+00  1.0907092E-05  2.2213157E-05  2.5444251E-06  2.4400353E-04  1.0234509E-04  3.6800077E-03  2.2073786E-02  8.3807289E-02  6.9371702E-04  2.2213157E-05  1.0907092E-05  0.0000000E+00  3.2112042E-03
  0.0000000E+00  1.1055370E-05  2.1706745E-05  2.5185967E-06  2.2954187E-04  9.7329260E-05  3.3872659E-03  2.1116487E-02  8.0354380E-02  6.7377436E-04  2.1706745E-05  1.1055370E-05  0.0000000E+00  3.2195545E-03
  0.0000000E+00  1.1146505E-05  2.1200091E-05  2.4913041E-06  2.1639410E-04  9.2925531E-05  3.1326606E-03  2.0228501E-02  7.7140420E-02  6.5483308E-04  2.1200091E-05  1.1146505E-05  0.0000000E+00  3.2279291E-03
  0.0000000E+00  1.1179985E-05  2.0685617E-05  2.4626128E-06  2.0439592E-04  8.8870405E-05  2.9075859E-03  1.9402834E-02  7.4142179E-02  6.3681615E-04  2.0685617E-05  1.1179985E-05  0.0000000E+00  3.2363283E-03
  0.0000000E+00  1.1184482E-05  2.0187074E-05  2.4336187E-06  1.9348066E-04  8.5134409E-05  2.7084357E-03  1.8633429E-02  7.1339349E-02  6.1967104E-04  2.0187074E-05  1.1184482E-05  0.0000000E+00  3.2447521E-03
  0.0000000E+00  1.1157657E-05  1.9697002E-05  2.4042911E-06  1.8362650E-04  8.1701582E-05  2.5310782E-03  1.7914935E-02  6.8714014E-02  6.0333609E-04  1.9697002E-05  1.1157657E-05  0.0000000E+00  3.2532007E-03
  0.0000000E+00  1.1105386E-05  1.9217141E-05  2.3749098E-06  1.7456744E-04  7.8546164E-05  2.3724368E-03  1.7242658E-02  6.6250371E-02  5.8775478E-04  1.9217141E-05  1.1105386E-05  0.0000000E+00  3.2616744E-03
  0.0000000E+00  1.1022838E-05  1.8739093E-05  2.3452834E-06  1.6620955E-04  7.5702185E-05  2.2296974E-03  1.6612438E-02  6.3934391E-02  5.7287319E-04  1.8739093E-05  1.1022838E-05  0.0000000E+00  3.2701730E-03
  0.0000000E+00  1.0932444E-05  1.8282094E-05  2.3162246E-06  1.5856375E-04  7.3112170E-05  2.1026675E-03  1.6020633E-02  6.1753648E-02  5.5865838E-04  1.8282094E-05  1.0932444E-05  0.0000000E+00  3.2786973E-03
  2.9000000E-09  1.0828558E-05  1.7838826E-05  2.2875188E-06  1.5150809E-04  7.0692713E-05  1.9882533E-03  1.5463965E-02  5.9697014E-02  5.4511958E-04  1.7838826E-05  1.0828558E-05  2.9000000E-09  3.2872470E-03
  1.2732176E-07  1.0715014E-05  1.7410398E-05  2.2597900E-06  1.4399154E-04  6.8847640E-05  1.8833330E-03  1.4941666E-02  5.7758968E-02  5.3268344E-04  1.7410398E-05  1.0715014E-05  1.2732176E-07  3.2956581E-03
  4.4313987E-07  1.0592406E-05  1.6994213E-05  2.2322000E-06  1.3827421E-04  6.6770683E-05  1.7861654E-03  1.4449995E-02  5.5933086E-02  5.2041011E-04  1.6994213E-05  1.0592406E-05  4.4313987E-07  3.3037968E-03
  7.2360183E-07  1.0453665E-05  1.6580661E-05  2.2047921E-06  1.3317350E-04  6.4861254E-05  1.6966894E-03  1.3984165E-02  5.4199201E-02  5.0862538E-04  1.6580661E-05  1.0453665E-05  7.2360183E-07  3.3119657E-03
  9.7524907E-07  1.0318462E-05  1.6187514E-05  2.1782104E-06  1.2845250E-04  6.3133802E-05  1.6154448E-03  1.3542336E-02  5.2550915E-02  4.9729832E-04  1.6187514E-05  1.0318462E-05  9.7524907E-07  3.3201651E-03
  1.2006168E-06  1.0179435E-05  1.5806066E-05  2.1521866E-06  1.2403136E-04  6.1510768E-05  1.5406078E-03  1.3122799E-02  5.0982371E-02  4.8641860E-04  1.5806066E-05  1.0179435E-05  1.2006168E-06  3.3283950E-03
  1.4024117E-06  1.0037826E-05  1.5436438E-05  2.1267376E-06  1.1987648E-04  5.9997004E-05  1.4714834E-03  1.2724010E-02  4.9488225E-02  4.7593598E-04  1.5436438E-05  1.0037826E-05  1.4024117E-06  3.3366561E-03
  1.5827052E-06  9.8940097E-06  1.5077707E-05  2.1018727E-06  1.1596730E-04  5.8559677E-05  1.4074788E-03  1.2344555E-02  4.8063592E-02  4.6582988E-04  1.5077707E-05  9.8940097E-06  1.5827052E-06  3.3449482E-03
  1.7398602E-06  9.7405729E-06  1.4722102E-05  2.0773693E-06  1.1227655E-04  5.7241553E-05  1.3477672E-03  1.1983136E-02  4.6703979E-02  4.5607559E-04  1.4722102E-05  9.7405729E-06  1.7398602E-06  3.3532721E-03
  1.8834390E-06  9.5944002E-06  1.4384868E-05  2.0537093E-06  1.0888126E-04  5.6055771E-05  1.2930416E-03  1.1638596E-02  4.5405302E-02  4.4666686E-04  1.4384868E-05  9.5944002E-06  1.8834390E-06  3.3616276E-03
  2.0126899E-06  9.4485080E-06  1.4058508E-05  2.0306505E-06  1.0578520E-04  5.4932741E-05  1.2420424E-03  1.1309843E-02  4.4163766E-02  4.3759644E-04  1.4058508E-05  9.4485080E-06  2.0126899E-06  3.3700153E-03
  2.1287760E-06  9.3030085E-06  1.3742434E-05  2.0081926E-06  1.0290257E-04  5.3858819E-05  1.1944164E-03  1.0995880E-02  4.2975890E-02  4.2883632E-04  1.3742434E-05  9.3030085E-06  2.1287760E-06  3.3784355E-03
  2.2326414E-06  9.1583827E-06  1.3436324E-05  1.9863344E-06  1.0016975E-04  5.2862401E-05  1.1498517E-03  1.0695794E-02  4.1838461E-02  4.2036900E-04  1.3436324E-05  9.1583827E-06  2.2326414E-06  3.3868883E-03
  2.3248063E-06  9.0148653E-06  1.3139587E-05  1.9650560E-06  9.7576434E-05  5.1912617E-05  1.1080728E-03  1.0408742E-02  4.0748512E-02  4.1217997E-04  1.3139587E-05  9.0148653E-06  2.3248063E-06  3.3953742E-03
  2.4073647E-06  8.8729552E-06  1.2852472E-05  1.9443550E-06  9.5112080E-05  5.1000603E-05  1.0688348E-03  1.0133944E-02  3.9703298E-02  4.0425705E-04  1.2852472E-05  8.8729552E-06  2.4073647E-06  3.4038932E-03
  2.4737078E-06  8.7242201E-06  1.2565926E-05  1.9239397E-06  9.2762106E-05  5.0119638E-05  1.0314485E-03  9.8706696E-03  3.8700263E-02  3.9658134E-04  1.2565926E-05  8.7242201E-06  2.4737078E-06  3.4124459E-03
  2.5381732E-06  8.5852042E-06  1.2296003E-05  1.9043370E-06  9.0531248E-05  4.9276586E-05  9.9662922E-04  9.6182774E-03  3.7737072E-02  3.8915416E-04  1.2296003E-05  8.5852042E-06  2.5381732E-06  3.4210325E-03
  2.5949169E-06  8.4482226E-06  1.2034297E-05  1.8852690E-06  8.8405192E-05  4.8465094E-05  9.6387985E-04  9.3761376E-03  3.6811524E-02  3.8195846E-04  1.2034297E-05  8.4482226E-06  2.5949169E-06  3.4296534E-03
  2.6450019E-06  8.3133120E-06  1.1780910E-05  1.8667202E-06  8.6378284E-05  4.7683661E-05  9.3312522E-04  9.1436780E-03  3.5921577E-02  3.7498431E-04  1.1780910E-05  8.3133120E-06  2.6450019E-06  3.4383088E-03
  2.6886639E-06  8.1804808E-06  1.1535129E-05  1.8486793E-06  8.4442912E-05  4.6929984E-05  9.0408150E-04  8.9203660E-03  3.5065337E-02  3.6822226E-04  1.1535129E-05  8.1804808E-06  2.6886639E-06  3.4469989E-03
  2.7268390E-06  8.0499707E-06  1.1296984E-05  1.8311409E-06  8.2594733E-05  4.6203262E-05  8.7656480E-04  8.7057070E-03  3.4241034E-02  3.6166326E-04  1.1296984E-05  8.0499707E-06  2.7268390E-06  3.4557246E-03
  2.7597591E-06  7.9218403E-06  1.1065974E-05  1.8140815E-06  8.0827039E-05  4.5501676E-05  8.5054806E-04  8.4992397E-03  3.3447018E-02  3.5529856E-04  1.1065974E-05  7.9218403E-06  2.7597591E-06  3.4644857E-03
  2.7879048E-06  7.7959768E-06  1.0842023E-05  1.7974975E-06  7.9135759E-05  4.4823958E-05  8.2582068E-04  8.3005342E-03  3.2681747E-02  3.4914341E-04  1.0842023E-05  7.7959768E-06  2.7879048E-06  3.4732827E-03
  2.8128083E-06  7.6725091E-06  1.0624829E-05  1.7813583E-06  7.7516584E-05  4.4169013E-05  8.0229015E-04  8.1091895E-03  3.1943778E-02  3.4338243E-04  1.0624829E-05  7.6725091E-06  2.8128083E-06  3.4821158E-03
  0.0000000E+00  0.0000000E+00  4.4000000E-09  1.2652000E-06  9.5660620E-04  3.8707470E-04  4.0525557E-02  6.0907651E-02  2.2145912E-01  1.4482719E-03  4.4000000E-09  4.4000000E-09  0.0000000E+00  3.2179379E-03
  0.0000000E+00  0.0000000E+00  5.3556292E-06  1.7761190E-06  7.9991783E-04  3.2824363E-04  3.0355469E-02  5.4321515E-02  1.9923139E-01  1.3573350E-03  5.3556292E-06  4.4000000E-09  0.0000000E+00  3.2310172E-03
  0.0000000E+00  0.0000000E+00  9.2474200E-06  2.1290913E-06  6.8400201E-04  2.8444334E-04  2.3275590E-02  4.8932939E-02  1.8084247E-01  1.2763430E-03  9.2474200E-06  5.0000000E-09  0.0000000E+00  3.2374668E-03
  0.0000000E+00  0.0000000E+00  1.2057330E-05  2.3691838E-06  5.9169849E-04  2.4920917E-04  1.8314994E-02  4.4438761E-02  1.6535599E-01  1.2040449E-03  1.2057330E-05  5.4000000E-09  0.0000000E+00  3.2439324E-03
  0.0000000E+00  0.0000000E+00  1.4023606E-05  2.5281648E-06  5.1706879E-04  2.2011570E-04  1.4698144E-02  4.0640440E-02  1.5215157E-01  1.1390954E-03  1.4023606E-05  3.9000000E-09  0.0000000E+00  3.2504149E-03
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  0.0000000E+00  5.9692722E-07  1.6736144E-05  2.7191379E-06  3.6301453E-04  1.5913936E-04  8.4977014E-03  3.2159743E-02  1.2223725E-01  9.8011198E-04  1.6736144E-05  5.9692722E-07  0.0000000E+00  3.2699299E-03
  0.0000000E+00  2.2799825E-06  1.6989639E-05  2.7282211E-06  3.2783233E-04  1.4565550E-04  7.2816190E-03  3.0054177E-02  1.1470523E-01  9.3749128E-04  1.6989639E-05  2.2799825E-06  0.0000000E+00  3.2763731E-03
  0.0000000E+00  3.6012134E-06  1.7058215E-05  2.7221887E-06  2.9731172E-04  1.3377442E-04  6.3010997E-03  2.8175014E-02  1.0794486E-01  8.9858349E-04  1.7058215E-05  3.6012134E-06  0.0000000E+00  3.2828340E-03
  0.0000000E+00  4.6437442E-06  1.7005476E-05  2.7057733E-06  2.7072379E-04  1.2331578E-04  5.5128316E-03  2.6489116E-02  1.0184735E-01  8.6312601E-04  1.7005476E-05  4.6437442E-06  0.0000000E+00  3.2893127E-03
  0.0000000E+00  5.4562738E-06  1.6851516E-05  2.6812765E-06  2.4788798E-04  1.1414512E-04  4.8721266E-03  2.4969308E-02  9.6322980E-02  8.3018426E-04  1.6851516E-05  5.4562738E-06  0.0000000E+00  3.2958094E-03
  0.0000000E+00  6.0956729E-06  1.6638016E-05  2.6516235E-06  2.2791681E-04  1.0641975E-04  4.3379823E-03  2.3593208E-02  9.1297305E-02  7.9949685E-04  1.6638016E-05  6.0956729E-06  0.0000000E+00  3.3023238E-03
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  0.0000000E+00  6.9643996E-06  1.6068641E-05  2.5818601E-06  1.9520338E-04  9.3207064E-05  3.5042957E-03  2.1200572E-02  8.2502392E-02  7.4384521E-04  1.6068641E-05  6.9643996E-06  0.0000000E+00  3.3154077E-03
  0.0000000E+00  7.2515964E-06  1.5746217E-05  2.5442994E-06  1.8154052E-04  8.7513704E-05  3.1783592E-03  2.0155253E-02  7.8636034E-02  7.1855463E-04  1.5746217E-05  7.2515964E-06  0.0000000E+00  3.3219771E-03
  0.0000000E+00  7.4548757E-06  1.5399411E-05  2.5055560E-06  1.6925485E-04  8.2432507E-05  2.9029010E-03  1.9195004E-02  7.5070834E-02  6.9475529E-04  1.5399411E-05  7.4548757E-06  0.0000000E+00  3.3285656E-03
  0.0000000E+00  7.6041951E-06  1.5052146E-05  2.4667852E-06  1.5827986E-04  7.7924957E-05  2.6666466E-03  1.8310295E-02  7.1774140E-02  6.7233449E-04  1.5052146E-05  7.6041951E-06  0.0000000E+00  3.3351720E-03
  0.0000000E+00  7.7040588E-06  1.4704102E-05  2.4281106E-06  1.4906005E-04  7.4063237E-05  2.4600814E-03  1.7492909E-02  6.8717772E-02  6.5117422E-04  1.4704102E-05  7.7040588E-06  0.0000000E+00  3.3417975E-03
  0.0000000E+00  7.7555428E-06  1.4347745E-05  2.3895496E-06  1.4111821E-04  7.0874339E-05  2.2774838E-03  1.6735751E-02  6.5877290E-02  6.3116868E-04  1.4347745E-05  7.7555428E-06  0.0000000E+00  3.3484413E-03
  0.0000000E+00  7.7816387E-06  1.4000115E-05  2.3518439E-06  1.3389162E-04  6.8100573E-05  2.1158623E-03  1.6032705E-02  6.3231433E-02  6.1224219E-04  1.4000115E-05  7.7816387E-06  0.0000000E+00  3.3551047E-03
  0.0000000E+00  7.7807130E-06  1.3661230E-05  2.3148971E-06  1.2730956E-04  6.5567668E-05  1.9719302E-03  1.5378408E-02  6.0761576E-02  5.9435159E-04  1.3661230E-05  7.7807130E-06  0.0000000E+00  3.3617871E-03
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  3.1000000E-09  7.5124294E-06  1.2059401E-05  2.1442162E-06  1.0299958E-04  5.6442902E-05  1.4437089E-03  1.2692479E-02  5.0541934E-02  5.1751423E-04  1.2059401E-05  7.5124294E-06  3.1000000E-09  3.3954909E-03
  9.0177023E-08  7.4285904E-06  1.1765332E-05  2.1136519E-06  9.8603010E-05  5.5461927E-05  1.3657157E-03  1.2251461E-02  4.8847359E-02  5.0478767E-04  1.1765332E-05  7.4285904E-06  9.0177023E-08  3.4021212E-03
  3.1001744E-07  7.3303266E-06  1.1473736E-05  2.0835754E-06  9.5277371E-05  5.4214030E-05  1.2941635E-03  1.1836701E-02  4.7252755E-02  4.9223580E-04  1.1473736E-05  7.3303266E-06  3.1001744E-07  3.4084627E-03
  5.0719316E-07  7.2347393E-06  1.1197266E-05  2.0546669E-06  9.2417996E-05  5.3034123E-05  1.2287819E-03  1.1444165E-02  4.5740241E-02  4.8020502E-04  1.1197266E-05  7.2347393E-06  5.0719316E-07  3.4148269E-03
  6.8316527E-07  7.1359044E-06  1.0928679E-05  2.0266883E-06  8.9766374E-05  5.1912798E-05  1.1691782E-03  1.1072215E-02  4.4303988E-02  4.6866039E-04  1.0928679E-05  7.1359044E-06  6.8316527E-07  3.4212144E-03
  8.4082944E-07  7.0343683E-06  1.0668618E-05  1.9996026E-06  8.7267147E-05  5.0845849E-05  1.1144748E-03  1.0719377E-02  4.2938706E-02  4.5758050E-04  1.0668618E-05  7.0343683E-06  8.4082944E-07  3.4276253E-03
  9.8183024E-07  6.9314311E-06  1.0416289E-05  1.9733976E-06  8.4908319E-05  4.9829329E-05  1.0638649E-03  1.0384306E-02  4.1639565E-02  4.4695863E-04  1.0416289E-05  6.9314311E-06  9.8183024E-07  3.4340597E-03
  1.1075910E-06  6.8271928E-06  1.0171581E-05  1.9480539E-06  8.2678558E-05  4.8872670E-05  1.0173162E-03  1.0065779E-02  4.0402155E-02  4.3703175E-04  1.0171581E-05  6.8271928E-06  1.1075910E-06  3.4405181E-03
  1.2165166E-06  6.7153791E-06  9.9274570E-06  1.9233047E-06  8.0562607E-05  4.7970655E-05  9.7396411E-04  9.7626675E-03  3.9222424E-02  4.2759929E-04  9.9274570E-06  6.7153791E-06  1.2165166E-06  3.4470002E-03
  1.3163452E-06  6.6100160E-06  9.6973595E-06  1.8995897E-06  7.8561587E-05  4.7110516E-05  9.3391658E-04  9.4739725E-03  3.8096695E-02  4.1850690E-04  9.6973595E-06  6.6100160E-06  1.3163452E-06  3.4535068E-03
  1.4056437E-06  6.5048856E-06  9.4749666E-06  1.8766663E-06  7.6680732E-05  4.6286150E-05  8.9652035E-04  9.1987456E-03  3.7021551E-02  4.0973351E-04  9.4749666E-06  6.5048856E-06  1.4056437E-06  3.4600377E-03
  1.4853684E-06  6.4002791E-06  9.2592394E-06  1.8544925E-06  7.4918287E-05  4.5495122E-05  8.6153373E-04  8.9361283E-03  3.5993866E-02  4.0126264E-04  9.2592394E-06  6.4002791E-06  1.4853684E-06  3.4665933E-03
  1.5563586E-06  6.2973879E-06  9.0504914E-06  1.8330575E-06  7.3241009E-05  4.4735495E-05  8.2905957E-04  8.6853295E-03  3.5010752E-02  3.9308048E-04  9.0504914E-06  6.2973879E-06  1.5563586E-06  3.4731738E-03
  1.6197893E-06  6.1966107E-06  8.8484766E-06  1.8123420E-06  7.1701536E-05  4.4005086E-05  7.9893138E-04  8.4456220E-03  3.4069548E-02  3.8517322E-04  8.8484766E-06  6.1966107E-06  1.6197893E-06  3.4797792E-03
  1.6770669E-06  6.0973883E-06  8.6529116E-06  1.7922962E-06  7.0256743E-05  4.3302279E-05  7.7075058E-04  8.2163347E-03  3.3167794E-02  3.7752777E-04  8.6529116E-06  6.0973883E-06  1.6770669E-06  3.4864101E-03
  1.7219941E-06  5.9915181E-06  8.4560503E-06  1.7726644E-06  6.8895995E-05  4.2621429E-05  7.4380860E-04  7.9968297E-03  3.2303180E-02  3.7012595E-04  8.4560503E-06  5.9915181E-06  1.7219941E-06  3.4930666E-03
  1.7664260E-06  5.8943464E-06  8.2721350E-06  1.7539030E-06  6.7597870E-05  4.1968845E-05  7.1873164E-04  7.7865692E-03  3.1473661E-02  3.6296865E-04  8.2721350E-06  5.8943464E-06  1.7664260E-06  3.4997489E-03
  1.8056110E-06  5.7985287E-06  8.0939525E-06  1.7357480E-06  6.6354661E-05  4.1339219E-05  6.9503284E-04  7.5850048E-03  3.0677247E-02  3.5603901E-04  8.0939525E-06  5.7985287E-06  1.8056110E-06  3.5064571E-03
  1.8398963E-06  5.7042401E-06  7.9212820E-06  1.7181830E-06  6.5162482E-05  4.0731329E-05  6.7260473E-04  7.3916447E-03  2.9912118E-02  3.4932736E-04  7.9212820E-06  5.7042401E-06  1.8398963E-06  3.5131914E-03
  1.8700058E-06  5.6114470E-06  7.7540896E-06  1.7011793E-06  6.4018579E-05  4.0144085E-05  6.5135054E-04  7.2060367E-03  2.9176597E-02  3.4282372E-04  7.7540896E-06  5.6114470E-06  1.8700058E-06  3.5199527E-03
  1.8960807E-06  5.5202774E-06  7.5919807E-06  1.6847197E-06  6.2919713E-05  3.9576188E-05  6.3118311E-04  7.0277461E-03  2.8469074E-02  3.3651935E-04  7.5919807E-06  5.5202774E-06  1.8960807E-06  3.5267404E-03
  1.9185930E-06  5.4308265E-06  7.4348811E-06  1.6687811E-06  6.1863328E-05  3.9026599E-05  6.1224695E-04  6.8563826E-03  2.7788096E-02  3.3040569E-04  7.4348811E-06  5.4308265E-06  1.9185930E-06  3.5335550E-03
  1.9377560E-06  5.3430173E-06  7.2825020E-06  1.6533393E-06  6.0846929E-05  3.8494676E-05  5.9450662E-04  6.6915779E-03  2.7132294E-02  3.2447478E-04  7.2825020E-06  5.3430173E-06  1.9377560E-06  3.5403972E-03
  1.9474138E-06  5.2494612E-06  7.1277421E-06  1.6381532E-06  5.9863540E-05  3.7976732E-05  5.7723884E-04  6.5329773E-03  2.6500370E-02  3.1871316E-04  7.1277421E-06  5.2494612E-06  1.9474138E-06  3.5472668E-03
  0.0000000E+00  0.0000000E+00  4.9000000E-09  2.4496000E-06  6.6626970E-04  3.1114410E-04  3.0838642E-02  5.2012153E-02  1.9588588E-01  1.5097805E-03  4.9000000E-09  4.6000000E-09  0.0000000E+00  3.6105623E-03
  0.0000000E+00  0.0000000E+00  3.5024579E-06  2.6781895E-06  5.5273999E-04  2.6045129E-04  2.2630246E-02  4.6216616E-02  1.7554232E-01  1.3974914E-03  3.5024579E-06  4.6000000E-09  0.0000000E+00  3.6403180E-03
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  0.0000000E+00  4.1169295E-07  1.1310604E-05  2.8433546E-06  2.3579324E-04  1.2392184E-04  6.1004321E-03  2.6920965E-02  1.0580101E-01  9.7056128E-04  1.1310604E-05  4.1169296E-07  0.0000000E+00  3.6701441E-03
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  0.0000000E+00  2.4828480E-06  1.1548203E-05  2.7515062E-06  1.9056707E-04  1.0331189E-04  4.5209599E-03  2.3490758E-02  9.3019288E-02  8.8340724E-04  1.1548203E-05  2.4828480E-06  0.0000000E+00  3.6799591E-03
  0.0000000E+00  3.2022168E-06  1.1519647E-05  2.7000182E-06  1.7263651E-04  9.4983036E-05  3.9625720E-03  2.2044033E-02  8.7585612E-02  8.4491917E-04  1.1519647E-05  3.2022168E-06  0.0000000E+00  3.6848861E-03
  0.0000000E+00  3.7609617E-06  1.1415714E-05  2.6466573E-06  1.5826576E-04  8.7898186E-05  3.5197531E-03  2.0742342E-02  8.2673401E-02  8.0932037E-04  1.1415714E-05  3.7609617E-06  0.0000000E+00  3.6898265E-03
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  0.0000000E+00  4.5370314E-06  1.1081751E-05  2.5396612E-06  1.3570527E-04  7.6337554E-05  2.8346332E-03  1.8498251E-02  7.4149651E-02  7.4564339E-04  1.1081751E-05  4.5370314E-06  0.0000000E+00  3.6997466E-03
  0.0000000E+00  4.7985699E-06  1.0874721E-05  2.4873059E-06  1.2677687E-04  7.1708774E-05  2.5662575E-03  1.7525652E-02  7.0432372E-02  7.1713252E-04  1.0874721E-05  4.7985699E-06  0.0000000E+00  3.7047268E-03
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  0.0000000E+00  5.1331503E-06  1.0411317E-05  2.3863115E-06  1.1327349E-04  6.4658632E-05  2.1367925E-03  1.5820989E-02  6.3881151E-02  6.6571662E-04  1.0411317E-05  5.1331503E-06  0.0000000E+00  3.7147283E-03
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  3.3000000E-09  3.4921376E-06  5.3911016E-06  1.8113141E-06  6.4523974E-05  4.3333793E-05  7.6964756E-04  8.3454206E-03  3.5323029E-02  4.5467786E-04  5.3911016E-06  3.4921376E-06  3.3000000E-09  4.4173932E-03
  4.4731175E-08  3.4508815E-06  5.2553645E-06  1.7816321E-06  6.2552900E-05  4.2840860E-05  7.2713247E-04  8.0387629E-03  3.4061145E-02  4.4210593E-04  5.2553645E-06  3.4508815E-06  4.4731175E-08  4.4208293E-03
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  5.9386802E-07  1.7011630E-06  2.2160758E-06  3.5777588E-06  4.4203864E-05  3.7235043E-05  2.4186702E-04  3.6053596E-03  1.5914546E-02  2.5234500E-04  2.2160758E-06  1.7011630E-06  5.9386802E-07  5.0579034E-03
  6.0174340E-07  1.6715129E-06  2.1674812E-06  3.5996685E-06  4.3752298E-05  3.6936345E-05  2.3409769E-04  3.5084028E-03  1.5491490E-02  2.4675905E-04  2.1674812E-06  1.6715129E-06  6.0174340E-07  5.0596242E-03
  6.0857071E-07  1.6424527E-06  2.1204340E-06  3.6183025E-06  4.3307294E-05  3.6637286E-05  2.2670450E-04  3.4154214E-03  1.5085331E-02  2.4141186E-04  2.1204340E-06  1.6424527E-06  6.0857071E-07  5.0613489E-03
  6.1427087E-07  1.6139145E-06  2.0748267E-06  3.6339156E-06  4.2868475E-05  3.6338301E-05  2.1966277E-04  3.3261957E-03  1.4695153E-02  2.3624897E-04  2.0748267E-06  1.6139145E-06  6.1427087E-07  5.0630778E-03
  6.1905063E-07  1.5864887E-06  2.0306905E-06  3.6467632E-06  4.2435880E-05  3.6043686E-05  2.1294990E-04  3.2405210E-03  1.4320106E-02  2.3126157E-04  2.0306905E-06  1.5864887E-06  6.1905063E-07  5.0648112E-03
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  0.0000000E+00  0.0000000E+00  9.2136968E-07  3.4595668E-06  1.7327246E-04  1.2863890E-04  8.5472240E-03  2.7161339E-02  1.1425905E-01  1.3620213E-03  9.2136968E-07  1.8000000E-09  0.0000000E+00  5.5662351E-03
  0.0000000E+00  0.0000000E+00  1.6617819E-06  3.2382959E-06  1.5163598E-04  1.1072467E-04  6.2460632E-03  2.4142108E-02  1.0219102E-01  1.2434532E-03  1.6617819E-06  3.3000000E-09  0.0000000E+00  5.5676219E-03
  0.0000000E+00  0.0000000E+00  2.2371450E-06  3.0472667E-06  1.3655760E-04  9.8649497E-05  4.9073455E-03  2.1656605E-02  9.2178393E-02  1.1455298E-03  2.2371450E-06  3.0000000E-09  0.0000000E+00  5.5690110E-03
  0.0000000E+00  0.0000000E+00  2.6532069E-06  2.8794222E-06  1.2457352E-04  8.9165333E-05  3.9740010E-03  1.9581245E-02  8.3758831E-02  1.0610719E-03  2.6532069E-06  2.0000000E-09  0.0000000E+00  5.5704020E-03
  0.0000000E+00  0.0000000E+00  2.9455805E-06  2.7307433E-06  1.1473272E-04  8.1671783E-05  3.2748426E-03  1.7826615E-02  7.6594681E-02  9.8748649E-04  2.9455805E-06  3.5000000E-09  0.0000000E+00  5.5717953E-03
  0.0000000E+00  0.0000000E+00  3.1376738E-06  2.5982478E-06  1.0663437E-04  7.5567321E-05  2.7420020E-03  1.6326772E-02  7.0434835E-02  9.2281497E-04  3.1376738E-06  2.6000000E-09  0.0000000E+00  5.5731906E-03
  0.0000000E+00  1.3127418E-07  3.2499064E-06  2.4804459E-06  9.9637403E-05  7.0289908E-05  2.3292264E-03  1.5041962E-02  6.5129396E-02  8.6596414E-04  3.2499064E-06  1.3127418E-07  0.0000000E+00  5.5745340E-03
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  0.0000000E+00  1.1645144E-06  3.2818324E-06  2.2491962E-06  7.8997091E-05  5.7130988E-05  1.3486843E-03  1.1313692E-02  4.9565544E-02  6.9234184E-04  3.2818324E-06  1.1645144E-06  0.0000000E+00  5.5794144E-03
  0.0000000E+00  1.2990595E-06  3.2377386E-06  2.3012968E-06  7.5086244E-05  5.4765772E-05  1.2009081E-03  1.0614859E-02  4.6617524E-02  6.5815060E-04  3.2377386E-06  1.2990595E-06  0.0000000E+00  5.5806388E-03
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  0.0000000E+00  1.6278392E-06  2.7777760E-06  3.1893190E-06  6.1975044E-05  4.9326412E-05  6.2857464E-04  7.2162526E-03  3.2114234E-02  4.8232277E-04  2.7777760E-06  1.6278392E-06  0.0000000E+00  5.5892592E-03
  0.0000000E+00  1.6301583E-06  2.7067285E-06  3.4337215E-06  6.0541163E-05  4.8723290E-05  5.8358819E-04  6.8767312E-03  3.0648139E-02  4.6373463E-04  2.7067285E-06  1.6301583E-06  0.0000000E+00  5.5904975E-03
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  0.0000000E+00  1.6192778E-06  2.5676690E-06  3.8273080E-06  5.8146299E-05  4.7718506E-05  5.0758258E-04  6.2708269E-03  2.8022821E-02  4.3001100E-04  2.5676690E-06  1.6192778E-06  0.0000000E+00  5.5929798E-03
  0.0000000E+00  1.6043066E-06  2.4967775E-06  3.9842106E-06  5.7164370E-05  4.7280412E-05  4.7515123E-04  5.9996679E-03  2.6844051E-02  4.1467299E-04  2.4967775E-06  1.6043066E-06  0.0000000E+00  5.5942238E-03
  0.0000000E+00  1.5896333E-06  2.4305498E-06  4.1193424E-06  5.6241236E-05  4.6874087E-05  4.4599005E-04  5.7470224E-03  2.5743479E-02  4.0024139E-04  2.4305498E-06  1.5896333E-06  0.0000000E+00  5.5954692E-03
  0.0000000E+00  1.5727068E-06  2.3660476E-06  4.2352172E-06  5.5344702E-05  4.6487504E-05  4.1956819E-04  5.5111663E-03  2.4714009E-02  3.8663923E-04  2.3660476E-06  1.5727068E-06  0.0000000E+00  5.5967165E-03
  3.3000000E-09  1.5539364E-06  2.3034431E-06  4.3341752E-06  5.4555678E-05  4.6088612E-05  3.9570732E-04  5.2905827E-03  2.3749361E-02  3.7379987E-04  2.3034431E-06  1.5539364E-06  3.3000000E-09  5.5979658E-03
  2.2255534E-08  1.5333987E-06  2.2425468E-06  4.4185585E-06  5.3422690E-05  4.5894303E-05  3.7394684E-04  5.0848374E-03  2.2846002E-02  3.6197180E-04  2.2425468E-06  1.5333987E-06  2.2255534E-08  5.5989370E-03
  6.9852278E-08  1.5076897E-06  2.1800070E-06  4.4886921E-06  5.2746809E-05  4.5490260E-05  3.5363330E-04  4.8921499E-03  2.2000161E-02  3.5057247E-04  2.1800070E-06  1.5076897E-06  6.9852278E-08  5.5993949E-03
  1.1251285E-07  1.4845916E-06  2.1225392E-06  4.5478000E-06  5.2093465E-05  4.5078518E-05  3.3523045E-04  4.7105604E-03  2.1201685E-02  3.3974307E-04  2.1225392E-06  1.4845916E-06  1.1251285E-07  5.5998520E-03
  1.5055883E-07  1.4610286E-06  2.0670779E-06  4.5968594E-06  5.1466079E-05  4.4684817E-05  3.1835988E-04  4.5392078E-03  2.0447002E-02  3.2944185E-04  2.0670779E-06  1.4610286E-06  1.5055883E-07  5.6003081E-03
  1.8448128E-07  1.4371027E-06  2.0134530E-06  4.6369916E-06  5.0845370E-05  4.4287640E-05  3.0277593E-04  4.3773187E-03  1.9732879E-02  3.1968876E-04  2.0134530E-06  1.4371027E-06  1.8448128E-07  5.6007634E-03
  2.1468244E-07  1.4130768E-06  1.9616012E-06  4.6691523E-06  5.0231666E-05  4.3883910E-05  2.8834821E-04  4.2241925E-03  1.9056381E-02  3.1047649E-04  1.9616012E-06  1.4130768E-06  2.1468244E-07  5.6012173E-03
  2.4164977E-07  1.3890768E-06  1.9114930E-06  4.6942108E-06  4.9625219E-05  4.3475180E-05  2.7496266E-04  4.0791939E-03  1.8414843E-02  3.0168372E-04  1.9114930E-06  1.3890768E-06  2.4164977E-07  5.6016704E-03
  2.6382483E-07  1.3615788E-06  1.8598857E-06  4.7126647E-06  4.9024607E-05  4.3061228E-05  2.6245085E-04  3.9417385E-03  1.7805825E-02  2.9328174E-04  1.8598857E-06  1.3615788E-06  2.6382483E-07  5.6021224E-03
  2.8493249E-07  1.3374200E-06  1.8129124E-06  4.7257365E-06  4.8433426E-05  4.2665269E-05  2.5132015E-04  3.8113100E-03  1.7227120E-02  2.8525179E-04  1.8129124E-06  1.3374200E-06  2.8493249E-07  5.6025735E-03
  3.0369581E-07  1.3135244E-06  1.7675202E-06  4.7337596E-06  4.7850209E-05  4.2314079E-05  2.4090092E-04  3.6874229E-03  1.6676692E-02  2.7756877E-04  1.7675202E-06  1.3135244E-06  3.0369581E-07  5.6030234E-03
  3.2035635E-07  1.2899226E-06  1.7239148E-06  4.7372912E-06  4.7275023E-05  4.1957715E-05  2.3113211E-04  3.5696368E-03  1.6152680E-02  2.7021231E-04  1.7239148E-06  1.2899226E-06  3.2035635E-07  5.6034718E-03
  3.3507085E-07  1.2667570E-06  1.6816832E-06  4.7367994E-06  4.6714535E-05  4.1597178E-05  2.2195927E-04  3.4575487E-03  1.5653379E-02  2.6316326E-04  1.6816832E-06  1.2667570E-06  3.3507085E-07  5.6039195E-03
  3.4795264E-07  1.2446544E-06  1.6419436E-06  4.7327327E-06  4.6238838E-05  4.1243267E-05  2.1337094E-04  3.3507896E-03  1.5177219E-02  2.5640416E-04  1.6419436E-06  1.2446544E-06  3.4795264E-07  5.6043656E-03
  3.5977580E-07  1.2227564E-06  1.6034986E-06  4.7254742E-06  4.5765896E-05  4.0914681E-05  2.0533707E-04  3.2490191E-03  1.4722757E-02  2.4991843E-04  1.6034986E-06  1.2227564E-06  3.5977580E-07  5.6048108E-03
  3.6738912E-07  1.1975741E-06  1.5628895E-06  4.7151019E-06  4.5294226E-05  4.0580315E-05  1.9777347E-04  3.1519169E-03  1.4288645E-02  2.4368809E-04  1.5628895E-06  1.1975741E-06  3.6738912E-07  5.6052545E-03
  3.7636758E-07  1.1762172E-06  1.5267224E-06  4.7024422E-06  4.4827989E-05  4.0244502E-05  1.9078949E-04  3.0592109E-03  1.3873687E-02  2.3770487E-04  1.5267224E-06  1.1762172E-06  3.7636758E-07  5.6056971E-03
  3.8415077E-07  1.1552317E-06  1.4917320E-06  4.6875254E-06  4.4365600E-05  3.9906342E-05  1.8417178E-04  2.9706265E-03  1.3476732E-02  2.3195276E-04  1.4917320E-06  1.1552317E-06  3.8415077E-07  5.6061381E-03
  3.9095019E-07  1.1346788E-06  1.4579470E-06  4.6706250E-06  4.3912227E-05  3.9566607E-05  1.7789464E-04  2.8859188E-03  1.3096727E-02  2.2641951E-04  1.4579470E-06  1.1346788E-06  3.9095019E-07  5.6065779E-03
  3.9682305E-07  1.1145019E-06  1.4251793E-06  4.6519273E-06  4.3470859E-05  3.9225728E-05  1.7193462E-04  2.8048620E-03  1.2732707E-02  2.2109386E-04  1.4251793E-06  1.1145019E-06  3.9682305E-07  5.6070164E-03
  4.0187033E-07  1.0947791E-06  1.3935379E-06  4.6316769E-06  4.3033256E-05  3.8884479E-05  1.6627537E-04  2.7272408E-03  1.2383749E-02  2.1596499E-04  1.3935379E-06  1.0947791E-06  4.0187033E-07  5.6074534E-03
  4.0612191E-07  1.0754689E-06  1.3628270E-06  4.6100318E-06  4.2599503E-05  3.8545490E-05  1.6096541E-04  2.6528620E-03  1.2049023E-02  2.1102284E-04  1.3628270E-06  1.0754689E-06  4.0612191E-07  5.6078890E-03
  4.0971304E-07  1.0566015E-06  1.3331208E-06  4.5871650E-06  4.2175283E-05  3.8215915E-05  1.5590520E-04  2.5815441E-03  1.1727747E-02  2.0625830E-04  1.3331208E-06  1.0566015E-06  4.0971304E-07  5.6083235E-03
  4.0936796E-07  1.0346238E-06  1.3010737E-06  4.5629608E-06  4.1767449E-05  3.7884653E-05  1.5090763E-04  2.5131125E-03  1.1419188E-02  2.0165976E-04  1.3010737E-06  1.0346238E-06  4.0936796E-07  5.6087562E-03
  0.0000000E+00  0.0000000E+00  6.2000000E-09  3.5894000E-06  1.6797100E-04  1.3105660E-04  8.4696560E-03  2.5545299E-02  1.1028725E-01  1.4605672E-03  6.2000000E-09  5.3000000E-09  0.0000000E+00  5.7773763E-03
  0.0000000E+00  0.0000000E+00  5.4309049E-07  3.6445319E-06  1.4701024E-04  1.1282411E-04  5.9353597E-03  2.2352081E-02  9.7185632E-02  1.3151092E-03  5.4309049E-07  5.3000000E-09  0.0000000E+00  5.7731241E-03
  0.0000000E+00  0.0000000E+00  1.0068825E-06  3.8056384E-06  1.3129297E-04  9.9338594E-05  4.5133856E-03  1.9798303E-02  8.6580043E-02  1.1941202E-03  1.0068825E-06  5.3000000E-09  0.0000000E+00  5.7737636E-03
  0.0000000E+00  0.0000000E+00  1.3830465E-06  3.8757974E-06  1.1886159E-04  8.9758984E-05  3.5469530E-03  1.7702696E-02  7.7814729E-02  1.0920984E-03  1.3830465E-06  5.1000000E-09  0.0000000E+00  5.7744030E-03
  0.0000000E+00  0.0000000E+00  1.6620959E-06  3.8852284E-06  1.0929688E-04  8.3391487E-05  2.8483977E-03  1.5958147E-02  7.0470513E-02  1.0049460E-03  1.6620959E-06  3.8000000E-09  0.0000000E+00  5.7750425E-03
  0.0000000E+00  0.0000000E+00  1.8589103E-06  3.8550358E-06  1.0139315E-04  7.8139235E-05  2.3324702E-03  1.4487369E-02  6.4242356E-02  9.2967787E-04  1.8589103E-06  4.7000000E-09  0.0000000E+00  5.7756823E-03
  0.0000000E+00  0.0000000E+00  1.9903725E-06  3.7994878E-06  9.4519957E-05  7.3701449E-05  1.9434601E-03  1.3233500E-02  5.8904130E-02  8.6405569E-04  1.9903725E-06  4.7000000E-09  0.0000000E+00  5.7763219E-03
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  0.0000000E+00  3.2770421E-07  2.1075796E-06  3.6497108E-06  8.3324768E-05  6.6278730E-05  1.4111897E-03  1.1243455E-02  5.0371015E-02  7.5672879E-04  2.1075796E-06  3.2770421E-07  0.0000000E+00  5.7773572E-03
  0.0000000E+00  5.1378800E-07  2.1207146E-06  3.5655170E-06  7.8720551E-05  6.3120608E-05  1.2284407E-03  1.0432431E-02  4.6870359E-02  7.1175161E-04  2.1207146E-06  5.1378800E-07  0.0000000E+00  5.7778075E-03
  0.0000000E+00  6.6073328E-07  2.1181795E-06  3.4792785E-06  7.4611055E-05  6.0288540E-05  1.0797591E-03  9.7122955E-03  4.3749990E-02  6.7115587E-04  2.1181795E-06  6.6073328E-07  0.0000000E+00  5.7782575E-03
  0.0000000E+00  7.7260076E-07  2.0983759E-06  3.7904473E-06  7.2184350E-05  5.8903114E-05  9.5672585E-04  9.0694788E-03  4.0954570E-02  6.3434974E-04  2.0983759E-06  7.7260076E-07  0.0000000E+00  5.7787068E-03
  0.0000000E+00  8.6009851E-07  2.0716306E-06  4.2753666E-06  7.0117866E-05  5.7960719E-05  8.5381281E-04  8.4929143E-03  3.8438694E-02  6.0085024E-04  2.0716306E-06  8.6009851E-07  0.0000000E+00  5.7791554E-03
  0.0000000E+00  9.2549201E-07  2.0349164E-06  4.6744800E-06  6.8180639E-05  5.7011306E-05  7.6673986E-04  7.9734631E-03  3.6164766E-02  5.7024421E-04  2.0349164E-06  9.2549201E-07  0.0000000E+00  5.7796038E-03
  0.0000000E+00  9.7676860E-07  1.9958123E-06  5.0026394E-06  6.6601290E-05  5.6430544E-05  6.9261866E-04  7.5035586E-03  3.4101455E-02  5.4219130E-04  1.9958123E-06  9.7676860E-07  0.0000000E+00  5.7800514E-03
  0.0000000E+00  1.0147595E-06  1.9541916E-06  5.2714170E-06  6.5126442E-05  5.5968624E-05  6.2896166E-04  7.0768584E-03  3.2222451E-02  5.1639510E-04  1.9541916E-06  1.0147595E-06  0.0000000E+00  5.7804985E-03
  0.0000000E+00  1.0391570E-06  1.9097382E-06  5.4901003E-06  6.3709201E-05  5.5452471E-05  5.7377786E-04  6.6880212E-03  3.0505515E-02  4.9260276E-04  1.9097382E-06  1.0391570E-06  0.0000000E+00  5.7809451E-03
  0.0000000E+00  1.0577062E-06  1.8663856E-06  5.6671236E-06  6.2389985E-05  5.4895994E-05  5.2581400E-04  6.3325397E-03  2.8931761E-02  4.7060386E-04  1.8663856E-06  1.0577062E-06  0.0000000E+00  5.7813908E-03
  0.0000000E+00  1.0688872E-06  1.8217584E-06  5.8088384E-06  6.1318180E-05  5.4306977E-05  4.8379419E-04  6.0065562E-03  2.7485025E-02  4.5020953E-04  1.8217584E-06  1.0688872E-06  0.0000000E+00  5.7818361E-03
  0.0000000E+00  1.0715648E-06  1.7739994E-06  5.9203923E-06  6.0475171E-05  5.3727419E-05  4.4665989E-04  5.7067701E-03  2.6151420E-02  4.3125503E-04  1.7739994E-06  1.0715648E-06  0.0000000E+00  5.7822805E-03
  0.0000000E+00  1.0721063E-06  1.7287453E-06  6.0068012E-06  5.9669901E-05  5.3200138E-05  4.1430243E-04  5.4303495E-03  2.4918963E-02  4.1371718E-04  1.7287453E-06  1.0721063E-06  0.0000000E+00  5.7827243E-03
  0.0000000E+00  1.0690881E-06  1.6837676E-06  6.0716863E-06  5.8864213E-05  5.2647976E-05  3.8559141E-04  5.1748330E-03  2.3777247E-02  3.9750706E-04  1.6837676E-06  1.0690881E-06  0.0000000E+00  5.7831673E-03
  0.0000000E+00  1.0629779E-06  1.6396631E-06  6.1182510E-06  5.8060526E-05  5.2076589E-05  3.5991627E-04  4.9380871E-03  2.2717205E-02  3.8233547E-04  1.6396631E-06  1.0629779E-06  0.0000000E+00  5.7836099E-03
  0.0000000E+00  1.0548159E-06  1.5962566E-06  6.1491708E-06  5.7260840E-05  5.1490617E-05  3.3701268E-04  4.7182471E-03  2.1730905E-02  3.6811014E-04  1.5962566E-06  1.0548159E-06  0.0000000E+00  5.7840515E-03
  0.0000000E+00  1.0418424E-06  1.5509745E-06  6.1665354E-06  5.6465706E-05  5.0892908E-05  3.1619100E-04  4.5136774E-03  2.0811374E-02  3.5474642E-04  1.5509745E-06  1.0418424E-06  0.0000000E+00  5.7844926E-03
  0.0000000E+00  1.0302479E-06  1.5094911E-06  6.1713198E-06  5.5679679E-05  5.0391892E-05  2.9742151E-04  4.3229510E-03  1.9952476E-02  3.4217633E-04  1.5094911E-06  1.0302479E-06  0.0000000E+00  5.7849330E-03
  3.2000000E-09  1.0175918E-06  1.4692493E-06  6.1727749E-06  5.4945009E-05  4.9893170E-05  2.8034747E-04  4.1447970E-03  1.9148774E-02  3.3033255E-04  1.4692493E-06  1.0175918E-06  3.2000000E-09  5.7853725E-03
  1.5737539E-08  1.0036423E-06  1.4299857E-06  6.1763391E-06  5.3903832E-05  4.9582548E-05  2.6467118E-04  3.9788362E-03  1.8397157E-02  3.1941552E-04  1.4299857E-06  1.0036423E-06  1.5737539E-08  5.7855217E-03
  4.7720045E-08  9.8872156E-07  1.3918550E-06  6.1686505E-06  5.3243674E-05  4.9128149E-05  2.5015978E-04  3.8235927E-03  1.7694326E-02  3.0893684E-04  1.3918550E-06  9.8872156E-07  4.7720045E-08  5.7851378E-03
  7.5373868E-08  9.7007013E-07  1.3521080E-06  6.1529059E-06  5.2586711E-05  4.8659498E-05  2.3685059E-04  3.6774512E-03  1.7031687E-02  2.9899351E-04  1.3521080E-06  9.7007013E-07  7.5373868E-08  5.7847498E-03
  1.0050515E-07  9.5424678E-07  1.3163157E-06  6.1308394E-06  5.1953416E-05  4.8182076E-05  2.2470823E-04  3.5397078E-03  1.6406175E-02  2.8955239E-04  1.3163157E-06  9.5424678E-07  1.0050515E-07  5.7843570E-03
  1.2297096E-07  9.3816096E-07  1.2815665E-06  6.1030445E-06  5.1411359E-05  4.7711354E-05  2.1357951E-04  3.4097160E-03  1.5815000E-02  2.8057676E-04  1.2815665E-06  9.3816096E-07  1.2297096E-07  5.7839607E-03
  1.4286753E-07  9.2203721E-07  1.2481809E-06  6.0703300E-06  5.0882930E-05  4.7264006E-05  2.0338663E-04  3.2868939E-03  1.5255641E-02  2.7203556E-04  1.2481809E-06  9.2203721E-07  1.4286753E-07  5.7835592E-03
  1.6070979E-07  9.0588523E-07  1.2158917E-06  6.0334119E-06  5.0351386E-05  4.6822744E-05  1.9392356E-04  3.1707144E-03  1.4725807E-02  2.6389994E-04  1.2158917E-06  9.0588523E-07  1.6070979E-07  5.7831535E-03
  1.7491813E-07  8.8694285E-07  1.1820238E-06  5.9925788E-06  4.9815866E-05  4.6372954E-05  1.8511662E-04  3.0606938E-03  1.4223406E-02  2.5614162E-04  1.1820238E-06  8.8694285E-07  1.7491813E-07  5.7827434E-03
  1.8880650E-07  8.7086999E-07  1.1517129E-06  5.9489782E-06  4.9280738E-05  4.5919210E-05  1.7725345E-04  2.9564051E-03  1.3746547E-02  2.4874088E-04  1.1517129E-06  8.7086999E-07  1.8880650E-07  5.7823285E-03
  2.0110222E-07  8.5487801E-07  1.1223621E-06  5.9115911E-06  4.8745850E-05  4.5461595E-05  1.6988592E-04  2.8574462E-03  1.3293487E-02  2.4167297E-04  1.1223621E-06  8.5487801E-07  2.0110222E-07  5.7819090E-03
  2.1202981E-07  8.3913166E-07  1.0943460E-06  5.9348384E-06  4.8211855E-05  4.5004398E-05  1.6297244E-04  2.7634537E-03  1.2862636E-02  2.3491786E-04  1.0943460E-06  8.3913166E-07  2.1202981E-07  5.7814849E-03
  2.2160119E-07  8.2361787E-07  1.0672720E-06  5.9507952E-06  4.7679750E-05  4.4550374E-05  1.5647584E-04  2.6740954E-03  1.2452537E-02  2.2845659E-04  1.0672720E-06  8.2361787E-07  2.2160119E-07  5.7810556E-03
  2.3034438E-07  8.0835578E-07  1.0417536E-06  5.9602215E-06  4.7150201E-05  4.4095694E-05  1.5036276E-04  2.5890665E-03  1.2061852E-02  2.2227178E-04  1.0417536E-06  8.0835578E-07  2.3034438E-07  5.7806213E-03
  2.3811819E-07  7.9339653E-07  1.0171494E-06  5.9637932E-06  4.6623723E-05  4.3641074E-05  1.4460321E-04  2.5080872E-03  1.1689351E-02  2.1634739E-04  1.0171494E-06  7.9339653E-07  2.3811819E-07  5.7801829E-03
  2.4264984E-07  7.7576336E-07  9.9054693E-07  5.9617776E-06  4.6099397E-05  4.3211398E-05  1.3903600E-04  2.4308959E-03  1.1333895E-02  2.1066628E-04  9.9054693E-07  7.7576336E-07  2.4264984E-07  5.7797391E-03
  2.4845054E-07  7.6121769E-07  9.6729953E-07  5.9553989E-06  4.5580619E-05  4.2808088E-05  1.3403628E-04  2.3572639E-03  1.0994450E-02  2.0527108E-04  9.6729953E-07  7.6121769E-07  2.4845054E-07  5.7792903E-03
  2.5353233E-07  7.4692400E-07  9.4491044E-07  5.9448345E-06  4.5066340E-05  4.2403551E-05  1.2936675E-04  2.2869690E-03  1.0670046E-02  2.0009503E-04  9.4491044E-07  7.4692400E-07  2.5353233E-07  5.7788362E-03
  2.5789532E-07  7.3285026E-07  9.2317389E-07  5.9305201E-06  4.4557106E-05  4.1998997E-05  1.2493419E-04  2.2198092E-03  1.0359790E-02  1.9512182E-04  9.2317389E-07  7.3285026E-07  2.5789532E-07  5.7783769E-03
  2.6166444E-07  7.1960118E-07  9.0221411E-07  5.9128705E-06  4.4052887E-05  4.1611186E-05  1.2072279E-04  2.1555980E-03  1.0062857E-02  1.9034080E-04  9.0221411E-07  7.1960118E-07  2.6166444E-07  5.7779128E-03
  2.6488323E-07  7.0666350E-07  8.8188708E-07  5.8922276E-06  4.3561482E-05  4.1222968E-05  1.1671806E-04  2.0941629E-03  9.7784806E-03  1.8574186E-04  8.8188708E-07  7.0666350E-07  2.6488323E-07  5.7774430E-03
  2.6761795E-07  6.9384009E-07  8.6225275E-07  5.8689302E-06  4.3084023E-05  4.0834907E-05  1.1295077E-04  2.0353435E-03  9.5059503E-03  1.8131551E-04  8.6225275E-07  6.9384009E-07  2.6761795E-07  5.7769678E-03
  2.6992266E-07  6.8165980E-07  8.4325056E-07  5.8432743E-06  4.2611278E-05  4.0447589E-05  1.0937307E-04  1.9789914E-03  9.2446050E-03  1.7705302E-04  8.4325056E-07  6.8165980E-07  2.6992266E-07  5.7764875E-03
  2.7178055E-07  6.6974826E-07  8.2491020E-07  5.8155215E-06  4.2143378E-05  4.0061400E-05  1.0595930E-04  1.9249686E-03  8.9938298E-03  1.7294611E-04  8.2491020E-07  6.6974826E-07  2.7178055E-07  5.7760018E-03
  0.0000000E+00  0.0000000E+00  6.1000000E-09  1.3350000E-05  1.5139070E-04  1.2365810E-04  5.7208760E-03  2.0917785E-02  9.3224836E-02  1.3885019E-03  6.1000000E-09  4.4000000E-09  0.0000000E+00  5.5404798E-03
  0.0000000E+00  0.0000000E+00  2.9000366E-07  1.1727478E-05  1.3410105E-04  1.1032065E-04  4.1911223E-03  1.8239792E-02  8.1786735E-02  1.2387671E-03  2.9000366E-07  4.4000000E-09  0.0000000E+00  5.5133432E-03
  0.0000000E+00  0.0000000E+00  5.6817309E-07  1.0682840E-05  1.2044194E-04  1.0007313E-04  3.1947675E-03  1.6094671E-02  7.2564612E-02  1.1167652E-03  5.6817309E-07  4.6000000E-09  0.0000000E+00  5.5135130E-03
  0.0000000E+00  0.0000000E+00  8.0342111E-07  9.8200615E-06  1.0997289E-04  9.2130898E-05  2.4983174E-03  1.4340583E-02  6.4973162E-02  1.0147030E-03  8.0342111E-07  4.1000000E-09  0.0000000E+00  5.5136816E-03
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  0.0000000E+00  0.0000000E+00  1.1222623E-06  8.4488726E-06  9.3636734E-05  8.0323761E-05  1.6309043E-03  1.1661905E-02  5.3280880E-02  8.5395919E-04  1.1222623E-06  3.9000000E-09  0.0000000E+00  5.5140156E-03
  0.0000000E+00  0.0000000E+00  1.2141694E-06  8.1543289E-06  8.7436880E-05  7.5761077E-05  1.3668946E-03  1.0622105E-02  4.8705738E-02  7.8968022E-04  1.2141694E-06  4.5000000E-09  0.0000000E+00  5.5141808E-03
  0.0000000E+00  5.9368487E-08  1.2697888E-06  8.7826752E-06  8.1980695E-05  7.1646927E-05  1.1627209E-03  9.7360598E-03  4.4788850E-02  7.3393012E-04  1.2697888E-06  5.9368487E-08  0.0000000E+00  5.5142920E-03
  0.0000000E+00  2.1538737E-07  1.2995852E-06  9.2238672E-06  7.7516274E-05  6.8254802E-05  1.0017789E-03  8.9783111E-03  4.1424461E-02  6.8546262E-04  1.2995852E-06  2.1538737E-07  0.0000000E+00  5.5142751E-03
  0.0000000E+00  3.3699814E-07  1.3106498E-06  9.5356336E-06  7.5222443E-05  6.6762396E-05  8.7128020E-04  8.3109484E-03  3.8449927E-02  6.4214250E-04  1.3106498E-06  3.3699814E-07  0.0000000E+00  5.5142561E-03
  0.0000000E+00  4.3303154E-07  1.3120918E-06  9.7461574E-06  7.3352365E-05  6.5799987E-05  7.6442321E-04  7.7197416E-03  3.5805270E-02  6.0322991E-04  1.3120918E-06  4.3303154E-07  0.0000000E+00  5.5142352E-03
  0.0000000E+00  5.0560361E-07  1.3014585E-06  9.8764209E-06  7.1552771E-05  6.5080617E-05  6.7616597E-04  7.1931800E-03  3.3441771E-02  5.6811095E-04  1.3014585E-06  5.0560361E-07  0.0000000E+00  5.5142125E-03
  0.0000000E+00  5.6288432E-07  1.2864560E-06  9.9439344E-06  6.9914779E-05  6.4363075E-05  6.0230574E-04  6.7218914E-03  3.1319565E-02  5.3659310E-04  1.2864560E-06  5.6288432E-07  0.0000000E+00  5.5141882E-03
  0.0000000E+00  6.0446612E-07  1.2644201E-06  9.9613673E-06  6.8910687E-05  6.3599019E-05  5.3978935E-04  6.2981536E-03  2.9405715E-02  5.0815582E-04  1.2644201E-06  6.0446612E-07  0.0000000E+00  5.5141618E-03
  0.0000000E+00  6.3621653E-07  1.2418660E-06  9.9398304E-06  6.7941969E-05  6.2864544E-05  4.8657972E-04  5.9155854E-03  2.7672838E-02  4.8215371E-04  1.2418660E-06  6.3621653E-07  0.0000000E+00  5.5141335E-03
  0.0000000E+00  6.6083413E-07  1.2165912E-06  9.8874084E-06  6.6946356E-05  6.2078331E-05  4.4174517E-04  5.5688477E-03  2.6097990E-02  4.5829941E-04  1.2165912E-06  6.6083413E-07  0.0000000E+00  5.5141035E-03
  0.0000000E+00  6.7580713E-07  1.1875816E-06  9.8104254E-06  6.5962183E-05  6.1254050E-05  4.0298428E-04  5.2534539E-03  2.4661820E-02  4.3634760E-04  1.1875816E-06  6.7580713E-07  0.0000000E+00  5.5140714E-03
  0.0000000E+00  6.8742975E-07  1.1612345E-06  9.7148170E-06  6.5087929E-05  6.0628671E-05  3.6928431E-04  4.9656231E-03  2.3347921E-02  4.1609348E-04  1.1612345E-06  6.8742975E-07  0.0000000E+00  5.5140374E-03
  0.0000000E+00  6.9450071E-07  1.1341634E-06  9.6046395E-06  6.4276593E-05  6.0068925E-05  3.3974224E-04  4.7021273E-03  2.2142286E-02  3.9735481E-04  1.1341634E-06  6.9450071E-07  0.0000000E+00  5.5140010E-03
  0.0000000E+00  6.9546660E-07  1.1043271E-06  9.4830308E-06  6.3458833E-05  5.9535632E-05  3.1360461E-04  4.4602058E-03  2.1032901E-02  3.7997451E-04  1.1043271E-06  6.9546660E-07  0.0000000E+00  5.5139631E-03
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  0.0000000E+00  6.8879907E-07  1.0212029E-06  9.1532009E-06  6.0926094E-05  5.7704122E-05  2.5250359E-04  3.8417873E-03  1.8185442E-02  3.3472307E-04  1.0212029E-06  6.8879907E-07  0.0000000E+00  5.5138369E-03
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  0.0000000E+00  6.6538034E-07  9.3960210E-07  9.1011068E-06  5.8685713E-05  5.5703273E-05  2.0820567E-04  3.3490779E-03  1.5903860E-02  2.9784932E-04  9.3960210E-07  6.6538034E-07  0.0000000E+00  5.5136914E-03
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  1.1390609E-08  6.4690093E-07  8.8999900E-07  9.0039300E-06  5.6944014E-05  5.4457929E-05  1.8517596E-04  3.0744042E-03  1.4625052E-02  2.7718989E-04  8.8999900E-07  6.4690093E-07  1.1390609E-08  5.5133080E-03
  3.1855307E-08  6.3437421E-07  8.6384144E-07  8.9410494E-06  5.6216699E-05  5.3898643E-05  1.7493232E-04  2.9507280E-03  1.4048376E-02  2.6770971E-04  8.6384144E-07  6.3437421E-07  3.1855307E-08  5.5124673E-03
  5.0135707E-08  6.2382293E-07  8.4055110E-07  8.8715119E-06  5.5512279E-05  5.3329832E-05  1.6565771E-04  2.8344543E-03  1.3505404E-02  2.5873206E-04  8.4055110E-07  6.2382293E-07  5.0135707E-08  5.5116208E-03
  6.6465845E-08  6.1314375E-07  8.1807459E-07  8.7962203E-06  5.4812778E-05  5.2750306E-05  1.5710864E-04  2.7249929E-03  1.2993511E-02  2.5021962E-04  8.1807459E-07  6.1314375E-07  6.6465845E-08  5.5107685E-03
  8.1006531E-08  6.0244217E-07  7.9630073E-07  8.7161515E-06  5.4123795E-05  5.2162949E-05  1.4921081E-04  2.6218150E-03  1.2510330E-02  2.4213957E-04  7.9630073E-07  6.0244217E-07  8.1006531E-08  5.5099099E-03
  9.3963244E-08  5.9170425E-07  7.7534819E-07  8.6321707E-06  5.3449295E-05  5.1570032E-05  1.4189925E-04  2.5244420E-03  1.2053718E-02  2.3446217E-04  7.7534819E-07  5.9170425E-07  9.3963244E-08  5.5090452E-03
  1.0551461E-07  5.8094620E-07  7.5525399E-07  8.5449980E-06  5.2786346E-05  5.0996931E-05  1.3511696E-04  2.4324410E-03  1.1621732E-02  2.2716018E-04  7.5525399E-07  5.8094620E-07  1.0551461E-07  5.5081748E-03
  1.1454386E-07  5.6804061E-07  7.3399675E-07  8.4550230E-06  5.2123697E-05  5.0418758E-05  1.2893834E-04  2.3454156E-03  1.1212599E-02  2.2020713E-04  7.3399675E-07  5.6804061E-07  1.1454386E-07  5.5072977E-03
  1.2348180E-07  5.5744248E-07  7.1560055E-07  8.3633280E-06  5.1464747E-05  4.9839408E-05  1.2338269E-04  2.2630150E-03  1.0824717E-02  2.1358339E-04  7.1560055E-07  5.5744248E-07  1.2348180E-07  5.5064143E-03
  1.3127120E-07  5.4699204E-07  6.9781777E-07  8.2701426E-06  5.0809651E-05  4.9259316E-05  1.1822519E-04  2.1849106E-03  1.0456614E-02  2.0726673E-04  6.9781777E-07  5.4699204E-07  1.3127120E-07  5.5055245E-03
  1.3842343E-07  5.3664840E-07  6.8060029E-07  8.1758788E-06  5.0159154E-05  4.8679766E-05  1.1338231E-04  2.1108050E-03  1.0106947E-02  2.0123748E-04  6.8060029E-07  5.3664840E-07  1.3842343E-07  5.5046285E-03
  1.4481136E-07  5.2651819E-07  6.6401993E-07  8.0809166E-06  4.9514135E-05  4.8101917E-05  1.0882887E-04  2.0404270E-03  9.7744885E-03  1.9547828E-04  6.6401993E-07  5.2651819E-07  1.4481136E-07  5.5037255E-03
  1.5048349E-07  5.1653916E-07  6.4796573E-07  7.9855400E-06  4.8875353E-05  4.7529603E-05  1.0454219E-04  1.9735276E-03  9.4581100E-03  1.8997248E-04  6.4796573E-07  5.1653916E-07  1.5048349E-07  5.5028163E-03
  1.5547924E-07  5.0678578E-07  6.3248280E-07  7.8900526E-06  4.8243230E-05  4.6962402E-05  1.0050187E-04  1.9098788E-03  9.1567762E-03  1.8470522E-04  6.3248280E-07  5.0678578E-07  1.5547924E-07  5.5019005E-03
  1.5801520E-07  4.9488027E-07  6.1518742E-07  7.7943880E-06  4.7617113E-05  4.6397817E-05  9.6577883E-05  1.8492660E-03  8.8695235E-03  1.7966058E-04  6.1518742E-07  4.9488027E-07  1.5801520E-07  5.5009775E-03
  1.6169314E-07  4.8535249E-07  6.0060265E-07  7.6993003E-06  4.7011681E-05  4.5838557E-05  9.2994718E-05  1.7915064E-03  8.5954975E-03  1.7482918E-04  6.0060265E-07  4.8535249E-07  1.6169314E-07  5.5000478E-03
  1.6493930E-07  4.7605428E-07  5.8650339E-07  7.6046906E-06  4.6413965E-05  4.5284184E-05  8.9683989E-05  1.7364179E-03  8.3338776E-03  1.7019731E-04  5.8650339E-07  4.7605428E-07  1.6493930E-07  5.4991114E-03
  1.6771719E-07  4.6695134E-07  5.7287774E-07  7.5107123E-06  4.5834163E-05  4.4736127E-05  8.6542340E-05  1.6838362E-03  8.0839161E-03  1.6575384E-04  5.7287774E-07  4.6695134E-07  1.6771719E-07  5.4981677E-03
  1.7010045E-07  4.5806872E-07  5.5967828E-07  7.4174896E-06  4.5261093E-05  4.4207100E-05  8.3560598E-05  1.6336115E-03  7.8449278E-03  1.6148849E-04  5.5967828E-07  4.5806872E-07  1.7010045E-07  5.4972169E-03
  1.7216250E-07  4.4939527E-07  5.4696437E-07  7.3251453E-06  4.4695069E-05  4.3686481E-05  8.0762972E-05  1.5856010E-03  7.6162584E-03  1.5739144E-04  5.4696437E-07  4.4939527E-07  1.7216250E-07  5.4962589E-03
  1.7388284E-07  4.4076068E-07  5.3466463E-07  7.2337513E-06  4.4136252E-05  4.3175763E-05  7.8140371E-05  1.5396762E-03  7.3973216E-03  1.5345372E-04  5.3466463E-07  4.4076068E-07  1.7388284E-07  5.4952938E-03
  1.7533431E-07  4.3292647E-07  5.2276323E-07  7.1433997E-06  4.3584895E-05  4.2676746E-05  7.5639902E-05  1.4957172E-03  7.1875651E-03  1.4966710E-04  5.2276323E-07  4.3292647E-07  1.7533431E-07  5.4943209E-03
  1.7438072E-07  4.2278174E-07  5.0899925E-07  7.0538640E-06  4.3040008E-05  4.2181927E-05  7.3139247E-05  1.4536089E-03  6.9864739E-03  1.4602190E-04  5.0899925E-07  4.2278174E-07  1.7438072E-07  5.4933411E-03
  0.0000000E+00  0.0000000E+00  6.4000000E-09  2.2835900E-05  1.4161300E-04  1.2657620E-04  4.0155926E-03  1.6949074E-02  7.7888055E-02  1.2857718E-03  6.4000000E-09  1.5000000E-09  0.0000000E+00  5.0599168E-03
  0.0000000E+00  0.0000000E+00  1.2926961E-07  1.9619222E-05  1.2692402E-04  1.1508961E-04  2.9375898E-03  1.4702986E-02  6.8001758E-02  1.1402336E-03  1.2926961E-07  1.5000000E-09  0.0000000E+00  5.0821769E-03
  0.0000000E+00  0.0000000E+00  2.8407666E-07  1.7727495E-05  1.1477331E-04  1.0490338E-04  2.2225355E-03  1.2923596E-02  6.0080183E-02  1.0207901E-03  2.8407666E-07  2.2000000E-09  0.0000000E+00  5.0820282E-03
  0.0000000E+00  0.0000000E+00  4.3032406E-07  1.7962107E-05  1.0483640E-04  9.6496391E-05  1.7492222E-03  1.1473592E-02  5.3585783E-02  9.2160549E-04  4.3032406E-07  2.1000000E-09  0.0000000E+00  5.0818779E-03
  0.0000000E+00  0.0000000E+00  5.4717328E-07  1.7943787E-05  9.7193571E-05  9.0058742E-05  1.4131664E-03  1.0274388E-02  4.8185128E-02  8.3810219E-04  5.4717328E-07  1.3000000E-09  0.0000000E+00  5.0817258E-03
  0.0000000E+00  0.0000000E+00  6.3661944E-07  1.7754625E-05  9.0774088E-05  8.4599609E-05  1.1616226E-03  9.2696101E-03  4.3637327E-02  7.6708758E-04  6.3661944E-07  3.5000000E-09  0.0000000E+00  5.0815716E-03
  0.0000000E+00  0.0000000E+00  7.0071448E-07  1.7452744E-05  8.5155903E-05  7.9753530E-05  9.7031138E-04  8.4180065E-03  3.9765000E-02  7.0716458E-04  7.0071448E-07  2.8000000E-09  0.0000000E+00  5.0814157E-03
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  0.0000000E+00  3.2403837E-07  7.7673604E-07  1.5330376E-05  7.7717201E-05  7.4496701E-05  4.7577202E-04  5.6295731E-03  2.6948947E-02  5.0225882E-04  7.7673604E-07  3.2403837E-07  0.0000000E+00  5.0798899E-03
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  0.0000000E+00  3.8674096E-07  7.5836388E-07  1.4901715E-05  7.5668145E-05  7.2764991E-05  3.7899042E-04  4.9079206E-03  2.3592020E-02  4.4678480E-04  7.5836388E-07  3.8674096E-07  0.0000000E+00  5.0792147E-03
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  0.0000000E+00  4.2197477E-07  7.3135426E-07  1.4502073E-05  7.3400943E-05  7.0941511E-05  3.0888487E-04  4.3222707E-03  2.0853036E-02  4.0103508E-04  7.3135426E-07  4.2197477E-07  0.0000000E+00  5.0785292E-03
  0.0000000E+00  4.3118586E-07  7.1447962E-07  1.4271814E-05  7.2494324E-05  7.0079621E-05  2.8083612E-04  4.0697412E-03  1.9667558E-02  3.8097446E-04  7.1447962E-07  4.3118586E-07  0.0000000E+00  5.0781822E-03
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  0.0000000E+00  4.4246065E-07  6.8349117E-07  1.3778559E-05  7.0595002E-05  6.8362892E-05  2.3563303E-04  3.6294843E-03  1.7593816E-02  3.4547206E-04  6.8349117E-07  4.4246065E-07  0.0000000E+00  5.0774802E-03
  0.0000000E+00  4.4243279E-07  6.6552581E-07  1.3522616E-05  6.9588631E-05  6.7548677E-05  2.1740638E-04  3.4368114E-03  1.6683306E-02  3.2970483E-04  6.6552581E-07  4.4243279E-07  0.0000000E+00  5.0771249E-03
  0.0000000E+00  4.4226407E-07  6.4901669E-07  1.3264531E-05  6.8560507E-05  6.6694934E-05  2.0150105E-04  3.2597352E-03  1.5844794E-02  3.1508218E-04  6.4901669E-07  4.4226407E-07  0.0000000E+00  5.0767668E-03
  0.0000000E+00  4.4056447E-07  6.3260297E-07  1.3006114E-05  6.7518185E-05  6.5811507E-05  1.8741918E-04  3.0965695E-03  1.5070647E-02  3.0149032E-04  6.3260297E-07  4.4056447E-07  0.0000000E+00  5.0764060E-03
  0.0000000E+00  4.3761049E-07  6.1638579E-07  1.2748973E-05  6.6468595E-05  6.4907061E-05  1.7479596E-04  2.9458553E-03  1.4354239E-02  2.8882958E-04  6.1638579E-07  4.3761049E-07  0.0000000E+00  5.0760423E-03
  0.0000000E+00  4.3378131E-07  6.0036511E-07  1.2494275E-05  6.5426561E-05  6.3988730E-05  1.6343544E-04  2.8063238E-03  1.3689790E-02  2.7701268E-04  6.0036511E-07  4.3378131E-07  0.0000000E+00  5.0756757E-03
  0.0000000E+00  4.2708471E-07  5.8250290E-07  1.2242770E-05  6.4388629E-05  6.3061670E-05  1.5308584E-04  2.6768623E-03  1.3072239E-02  2.6596149E-04  5.8250290E-07  4.2708471E-07  0.0000000E+00  5.0753060E-03
  0.0000000E+00  4.2168121E-07  5.6712411E-07  1.1995617E-05  6.3356243E-05  6.2132146E-05  1.4377370E-04  2.5565047E-03  1.2497143E-02  2.5561073E-04  5.6712411E-07  4.2168121E-07  0.0000000E+00  5.0749333E-03
  3.2000000E-09  4.1586696E-07  5.5201068E-07  1.1753147E-05  6.2349679E-05  6.1212481E-05  1.3537406E-04  2.4443922E-03  1.1960580E-02  2.4589854E-04  5.5201068E-07  4.1586696E-07  3.2000000E-09  5.0745575E-03
  8.4022796E-09  4.0952715E-07  5.3732695E-07  1.1517470E-05  6.1213286E-05  6.0391710E-05  1.2771642E-04  2.3402429E-03  1.1460229E-02  2.3694595E-04  5.3732695E-07  4.0952715E-07  8.4022796E-09  5.0739248E-03
  2.1715274E-08  4.0280077E-07  5.2350136E-07  1.1286604E-05  6.0251643E-05  5.9504714E-05  1.2070393E-04  2.2430717E-03  1.0993655E-02  2.2841879E-04  5.2350136E-07  4.0280077E-07  2.1715274E-08  5.0728220E-03
  3.3147632E-08  3.9390808E-07  5.0800782E-07  1.1060500E-05  5.9297628E-05  5.8620956E-05  1.1416523E-04  2.1518317E-03  1.0554948E-02  2.2035822E-04  5.0800782E-07  3.9390808E-07  3.3147632E-08  5.0717123E-03
  4.3522680E-08  3.8680097E-07  4.9477625E-07  1.0839741E-05  5.8354489E-05  5.7744073E-05  1.0821218E-04  2.0660504E-03  1.0141910E-02  2.1273211E-04  4.9477625E-07  3.8680097E-07  4.3522680E-08  5.0705962E-03
  5.2777354E-08  3.7965726E-07  4.8210530E-07  1.0624213E-05  5.7426644E-05  5.6875002E-05  1.0271221E-04  1.9852955E-03  9.7525510E-03  2.0550833E-04  4.8210530E-07  3.7965726E-07  5.2777354E-08  5.0694728E-03
  6.1017675E-08  3.7272119E-07  4.6976778E-07  1.0413950E-05  5.6527915E-05  5.6015094E-05  9.7620486E-05  1.9091790E-03  9.3850767E-03  1.9865795E-04  4.6976778E-07  3.7272119E-07  6.1017675E-08  5.0683427E-03
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  7.3676544E-08  3.5706449E-07  4.4442833E-07  1.0009016E-05  5.4785704E-05  5.4334552E-05  8.8739241E-05  1.7694853E-03  8.7094158E-03  1.8597496E-04  4.4442833E-07  3.5706449E-07  7.3676544E-08  5.0660614E-03
  7.9486780E-08  3.5020994E-07  4.3320575E-07  9.8144860E-06  5.3939102E-05  5.3526285E-05  8.4810187E-05  1.7053034E-03  8.3984105E-03  1.8009819E-04  4.3320575E-07  3.5020994E-07  7.9486780E-08  5.0649100E-03
  8.4576352E-08  3.4341424E-07  4.2237655E-07  9.6351038E-06  5.3105516E-05  5.2729080E-05  8.1131783E-05  1.6445381E-03  8.1036149E-03  1.7450382E-04  4.2237655E-07  3.4341424E-07  8.4576352E-08  5.0637515E-03
  8.9124038E-08  3.3671808E-07  4.1188448E-07  9.4637507E-06  5.2285249E-05  5.1943541E-05  7.7683318E-05  1.5869493E-03  7.8239113E-03  1.6922475E-04  4.1188448E-07  3.3671808E-07  8.9124038E-08  5.0625853E-03
  9.3173082E-08  3.3018175E-07  4.0174449E-07  9.2876604E-06  5.1478753E-05  5.1170174E-05  7.4497551E-05  1.5323183E-03  7.5582768E-03  1.6419255E-04  4.0174449E-07  3.3018175E-07  9.3173082E-08  5.0614122E-03
  9.6727433E-08  3.2378254E-07  3.9198660E-07  9.1161696E-06  5.0713807E-05  5.0409232E-05  7.1527645E-05  1.4804446E-03  7.3057745E-03  1.5938819E-04  3.9198660E-07  3.2378254E-07  9.6727433E-08  5.0602315E-03
  9.9898004E-08  3.1747605E-07  3.8257137E-07  8.9491918E-06  4.9976084E-05  4.9690677E-05  6.8728038E-05  1.4311447E-03  7.0655455E-03  1.5479765E-04  3.8257137E-07  3.1747605E-07  9.9898004E-08  5.0590433E-03
  1.0120568E-07  3.0949467E-07  3.7160740E-07  8.7864928E-06  4.9248488E-05  4.8993497E-05  6.5997985E-05  1.3842476E-03  6.8367976E-03  1.5040699E-04  3.7160740E-07  3.0949467E-07  1.0120568E-07  5.0578470E-03
  1.0352699E-07  3.0339320E-07  3.6272574E-07  8.6282442E-06  4.8532987E-05  4.8307138E-05  6.3501468E-05  1.3396036E-03  6.6188089E-03  1.4620678E-04  3.6272574E-07  3.0339320E-07  1.0352699E-07  5.0566433E-03
  1.0553292E-07  2.9741513E-07  3.5413935E-07  8.4742061E-06  4.7828903E-05  4.7631088E-05  6.1209917E-05  1.2970676E-03  6.4109078E-03  1.4218476E-04  3.5413935E-07  2.9741513E-07  1.0553292E-07  5.0554318E-03
  1.0725085E-07  2.9152600E-07  3.4580380E-07  8.3242728E-06  4.7136428E-05  4.6965542E-05  5.9035110E-05  1.2565086E-03  6.2124765E-03  1.3833082E-04  3.4580380E-07  2.9152600E-07  1.0725085E-07  5.0542123E-03
  1.0875969E-07  2.8587333E-07  3.3781409E-07  8.1783426E-06  4.6455589E-05  4.6310669E-05  5.6969515E-05  1.2178052E-03  6.0229434E-03  1.3463557E-04  3.3781409E-07  2.8587333E-07  1.0875969E-07  5.0529848E-03
  1.1002820E-07  2.8029084E-07  3.3009149E-07  8.0363057E-06  4.5801173E-05  4.5666569E-05  5.5022181E-05  1.1808455E-03  5.8417810E-03  1.3109020E-04  3.3009149E-07  2.8029084E-07  1.1002820E-07  5.0517490E-03
  1.1110373E-07  2.7476103E-07  3.2260381E-07  7.8980451E-06  4.5182764E-05  4.5035319E-05  5.3183005E-05  1.1455260E-03  5.6685000E-03  1.2768643E-04  3.2260381E-07  2.7476103E-07  1.1110373E-07  5.0505052E-03
  1.1200280E-07  2.6980580E-07  3.1539852E-07  7.7634670E-06  4.4581646E-05  4.4450597E-05  5.1438570E-05  1.1117506E-03  5.5026461E-03  1.2441685E-04  3.1539852E-07  2.6980580E-07  1.1200280E-07  5.0492530E-03
  1.1272990E-07  2.6500409E-07  3.0844872E-07  7.6324596E-06  4.3989087E-05  4.3874221E-05  4.9792302E-05  1.0794301E-03  5.3437982E-03  1.2127420E-04  3.0844872E-07  2.6500409E-07  1.1272990E-07  5.0479926E-03
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  3.2000000E-09  2.5764015E-07  3.2306454E-07  1.3074268E-05  6.6404398E-05  6.6089381E-05  9.1852600E-05  1.8316793E-03  9.2347192E-03  2.0649687E-04  3.2306454E-07  2.5764015E-07  3.2000000E-09  4.4810263E-03
  6.4713191E-09  2.5362779E-07  3.1500504E-07  1.2711654E-05  6.5045388E-05  6.4959760E-05  8.6625251E-05  1.7509455E-03  8.8355630E-03  1.9867336E-04  3.1500504E-07  2.5362779E-07  6.4713191E-09  4.4802623E-03
  1.4584364E-08  2.4773070E-07  3.0534306E-07  1.2365435E-05  6.3858872E-05  6.3797729E-05  8.1742920E-05  1.6757300E-03  8.4639089E-03  1.9124336E-04  3.0534306E-07  2.4773070E-07  1.4584364E-08  4.4790824E-03
  2.1830825E-08  2.4325863E-07  2.9745243E-07  1.2033736E-05  6.2692691E-05  6.2655956E-05  7.7308065E-05  1.6052132E-03  8.1149617E-03  1.8423318E-04  2.9745243E-07  2.4325863E-07  2.1830825E-08  4.4778957E-03
  2.8339966E-08  2.3880076E-07  2.8980493E-07  1.1715746E-05  6.1547489E-05  6.1534892E-05  7.3220502E-05  1.5390088E-03  7.7868948E-03  1.7761057E-04  2.8980493E-07  2.3880076E-07  2.8339966E-08  4.4767023E-03
  3.3825618E-08  2.3427787E-07  2.8240037E-07  1.1410750E-05  6.0438452E-05  6.0441690E-05  6.9445117E-05  1.4767714E-03  7.4780645E-03  1.7134689E-04  2.8240037E-07  2.3427787E-07  3.3825618E-08  4.4755018E-03
  3.9041859E-08  2.2986229E-07  2.7523634E-07  1.1118101E-05  5.9411363E-05  5.9421617E-05  6.6030820E-05  1.4181898E-03  7.1869874E-03  1.6541600E-04  2.7523634E-07  2.2986229E-07  3.9041859E-08  4.4742947E-03
  4.3698011E-08  2.2547271E-07  2.6829786E-07  1.0837176E-05  5.8400220E-05  5.8450964E-05  6.2936838E-05  1.3629825E-03  6.9123206E-03  1.5979434E-04  2.6829786E-07  2.2547271E-07  4.3698011E-08  4.4730804E-03
  4.7000517E-08  2.1953739E-07  2.6008272E-07  1.0567293E-05  5.7405222E-05  5.7494637E-05  5.9980734E-05  1.3108929E-03  6.6528450E-03  1.5445969E-04  2.6008272E-07  2.1953739E-07  4.7000517E-08  4.4718592E-03
  5.0575430E-08  2.1520284E-07  2.5353764E-07  1.0308075E-05  5.6431411E-05  5.6554564E-05  5.7277835E-05  1.2616937E-03  6.4074583E-03  1.4939376E-04  2.5353764E-07  2.1520284E-07  5.0575430E-08  4.4706309E-03
  5.3764878E-08  2.1098119E-07  2.4720314E-07  1.0058923E-05  5.5485382E-05  5.5630742E-05  5.4748411E-05  1.2151734E-03  6.1751528E-03  1.4457790E-04  2.4720314E-07  2.1098119E-07  5.3764878E-08  4.4693950E-03
  5.6596871E-08  2.0679850E-07  2.4107192E-07  9.8193351E-06  5.4556707E-05  5.4723440E-05  5.2378215E-05  1.1711403E-03  5.9550106E-03  1.4003219E-04  2.4107192E-07  2.0679850E-07  5.6596871E-08  4.4681522E-03
  5.9140541E-08  2.0275800E-07  2.3519956E-07  9.5888447E-06  5.3645541E-05  5.3832983E-05  5.0154428E-05  1.1294207E-03  5.7461938E-03  1.3572214E-04  2.3519956E-07  2.0275800E-07  5.9140541E-08  4.4669019E-03
  6.1358498E-08  1.9878050E-07  2.2951351E-07  9.3670099E-06  5.2752026E-05  5.2959442E-05  4.8065502E-05  1.0898550E-03  5.5479356E-03  1.3161191E-04  2.2951351E-07  1.9878050E-07  6.1358498E-08  4.4656442E-03
  6.3332417E-08  1.9488904E-07  2.2405040E-07  9.1534240E-06  5.1876187E-05  5.2102991E-05  4.6120354E-05  1.0522974E-03  5.3595334E-03  1.2768909E-04  2.2405040E-07  1.9488904E-07  6.3332417E-08  4.4643785E-03
  6.3853676E-08  1.8958649E-07  2.1724307E-07  8.9475917E-06  5.1017323E-05  5.1263075E-05  4.4247089E-05  1.0166114E-03  5.1803351E-03  1.2394146E-04  2.1724307E-07  1.8958649E-07  6.3853676E-08  4.4631055E-03
  6.5287082E-08  1.8580059E-07  2.1206158E-07  8.7493294E-06  5.0176597E-05  5.0448981E-05  4.2554389E-05  9.8268039E-04  5.0097628E-03  1.2036008E-04  2.1206158E-07  1.8580059E-07  6.5287082E-08  4.4618250E-03
  6.6510397E-08  1.8207541E-07  2.0703889E-07  8.5581982E-06  4.9353189E-05  4.9651021E-05  4.0992456E-05  9.5038858E-04  4.8472637E-03  1.1693435E-04  2.0703889E-07  1.8207541E-07  6.6510397E-08  4.4605362E-03
  6.7574664E-08  1.7828823E-07  2.0221358E-07  8.3738680E-06  4.8546985E-05  4.8869029E-05  3.9510391E-05  9.1963208E-04  4.6923347E-03  1.1365531E-04  2.0221358E-07  1.7828823E-07  6.7574664E-08  4.4592396E-03
  6.8494307E-08  1.7450575E-07  1.9754869E-07  8.1960262E-06  4.7757735E-05  4.8102913E-05  3.8107856E-05  8.9031538E-04  4.5445119E-03  1.1051443E-04  1.9754869E-07  1.7450575E-07  6.8494307E-08  4.4579352E-03
  6.9311903E-08  1.7129821E-07  1.9306858E-07  8.0243823E-06  4.6985158E-05  4.7352458E-05  3.6791586E-05  8.6235105E-04  4.4033709E-03  1.0750414E-04  1.9306858E-07  1.7129821E-07  6.9311903E-08  4.4566226E-03
  6.9957519E-08  1.6816670E-07  1.8873392E-07  7.8586453E-06  4.6228948E-05  4.6617451E-05  3.5538440E-05  8.3565531E-04  4.2685054E-03  1.0461694E-04  1.8873392E-07  1.6816670E-07  6.9957519E-08  4.4553020E-03
  7.0523489E-08  1.6511326E-07  1.8454568E-07  7.6985617E-06  4.5488926E-05  4.5897705E-05  3.4344710E-05  8.1015388E-04  4.1395525E-03  1.0184620E-04  1.8454568E-07  1.6511326E-07  7.0523489E-08  4.4539725E-03
  6.9581011E-08  1.6053880E-07  1.7903199E-07  7.5437842E-06  4.4764036E-05  4.5192292E-05  3.3134509E-05  7.8577470E-04  4.0161695E-03  9.9184905E-05  1.7903199E-07  1.6053880E-07  6.9581011E-08  4.4526354E-03
  0.0000000E+00  0.0000000E+00  7.4000000E-09  5.0788100E-05  1.5354360E-04  1.5072890E-04  2.0611239E-03  1.0714388E-02  5.2203710E-02  1.0388183E-03  7.4000000E-09  4.0000000E-09  0.0000000E+00  3.9096106E-03
  0.0000000E+00  0.0000000E+00  6.2271180E-08  4.6097007E-05  1.4123717E-04  1.3960469E-04  1.5263886E-03  9.2011090E-03  4.5113579E-02  9.1175628E-04  6.2271180E-08  4.0000000E-09  0.0000000E+00  3.9154572E-03
  0.0000000E+00  1.3980825E-35  6.7292346E-08  4.2524214E-05  1.3185606E-04  1.3063184E-04  1.1624907E-03  8.0156306E-03  3.9496829E-02  8.0883155E-04  6.7292346E-08  4.9000000E-09  0.0000000E+00  3.9150274E-03
  0.0000000E+00  1.6310962E-35  7.9937446E-08  3.9417256E-05  1.2358563E-04  1.2258312E-04  9.0676477E-04  7.0571622E-03  3.4931986E-02  7.2399907E-04  7.9937446E-08  4.7000000E-09  0.0000000E+00  3.9145958E-03
  0.0000000E+00  1.0000000E-10  1.1039568E-07  3.6683299E-05  1.2019787E-04  1.1926811E-04  7.2202221E-04  6.2703876E-03  3.1166785E-02  6.5312631E-04  1.1039568E-07  4.8000000E-09  0.0000000E+00  3.9141616E-03
  0.0000000E+00  2.0000000E-10  1.4432008E-07  3.4258539E-05  1.1721496E-04  1.1618719E-04  5.8628785E-04  5.6158415E-03  2.8020337E-02  5.9320210E-04  1.4432008E-07  4.7000000E-09  0.0000000E+00  3.9137252E-03
  0.0000000E+00  2.0000000E-10  1.7395516E-07  3.2094989E-05  1.1445287E-04  1.1353489E-04  4.8536854E-04  5.0648092E-03  2.5360412E-02  5.4199510E-04  1.7395516E-07  3.9000000E-09  0.0000000E+00  3.9132866E-03
  0.0000000E+00  1.7761450E-08  1.9472446E-07  3.0167463E-05  1.1207022E-04  1.1111400E-04  4.0815030E-04  4.5995521E-03  2.3105646E-02  4.9814910E-04  1.9472446E-07  1.7761450E-08  0.0000000E+00  3.9128076E-03
  0.0000000E+00  5.4787311E-08  2.0906641E-07  2.8451116E-05  1.0952802E-04  1.0870285E-04  3.4767739E-04  4.2051035E-03  2.1186869E-02  4.6048610E-04  2.0906641E-07  5.4787311E-08  0.0000000E+00  3.9122367E-03
  0.0000000E+00  8.3324073E-08  2.1812449E-07  2.6887573E-05  1.0687543E-04  1.0616664E-04  2.9902581E-04  3.8605269E-03  1.9505083E-02  4.2719674E-04  2.1812449E-07  8.3324073E-08  0.0000000E+00  3.9116623E-03
  0.0000000E+00  1.0653497E-07  2.2528173E-07  2.5490546E-05  1.0417180E-04  1.0356731E-04  2.5949086E-04  3.5576520E-03  1.8022129E-02  3.9763920E-04  2.2528173E-07  1.0653497E-07  0.0000000E+00  3.9110854E-03
  0.0000000E+00  1.2371803E-07  2.2822269E-07  2.4200647E-05  1.0145803E-04  1.0094781E-04  2.2721278E-04  3.2899172E-03  1.6707280E-02  3.7151390E-04  2.2822269E-07  1.2371803E-07  0.0000000E+00  3.9105054E-03
  0.0000000E+00  1.3766134E-07  2.3033347E-07  2.3013825E-05  9.8765136E-05  9.8340389E-05  2.0101258E-04  3.0520162E-03  1.5535575E-02  3.4804180E-04  2.3033347E-07  1.3766134E-07  0.0000000E+00  3.9099225E-03
  0.0000000E+00  1.4717330E-07  2.2920015E-07  2.1919088E-05  9.6112882E-05  9.5766239E-05  1.7895935E-04  2.8396074E-03  1.4486561E-02  3.2686264E-04  2.2920015E-07  1.4717330E-07  0.0000000E+00  3.9093367E-03
  0.0000000E+00  1.5469611E-07  2.2844350E-07  2.0907124E-05  9.3541611E-05  9.3241818E-05  1.6029100E-04  2.6491224E-03  1.3543348E-02  3.0767737E-04  2.2844350E-07  1.5469611E-07  0.0000000E+00  3.9087478E-03
  0.0000000E+00  1.6033805E-07  2.2698962E-07  1.9969607E-05  9.1148517E-05  9.0830497E-05  1.4441306E-04  2.4775979E-03  1.2691887E-02  2.9023454E-04  2.2698962E-07  1.6033805E-07  0.0000000E+00  3.9081559E-03
  0.0000000E+00  1.6324513E-07  2.2315793E-07  1.9099221E-05  8.8961285E-05  8.8675314E-05  1.3084258E-04  2.3225579E-03  1.1920410E-02  2.7432142E-04  2.2315793E-07  1.6324513E-07  0.0000000E+00  3.9075608E-03
  0.0000000E+00  1.6587185E-07  2.2033094E-07  1.8289685E-05  8.6810989E-05  8.6591895E-05  1.1911156E-04  2.1819256E-03  1.1219002E-02  2.5975913E-04  2.2033094E-07  1.6587185E-07  0.0000000E+00  3.9069626E-03
  0.0000000E+00  1.6738285E-07  2.1700743E-07  1.7535276E-05  8.4704988E-05  8.4547848E-05  1.0887975E-04  2.0539411E-03  1.0579254E-02  2.4639329E-04  2.1700743E-07  1.6738285E-07  0.0000000E+00  3.9063616E-03
  0.0000000E+00  1.6674303E-07  2.1208465E-07  1.6830986E-05  8.2647970E-05  8.2548880E-05  9.9860554E-05  1.9371069E-03  9.9939977E-03  2.3417965E-04  2.1208465E-07  1.6674303E-07  0.0000000E+00  3.9057574E-03
  0.0000000E+00  1.6652827E-07  2.0803287E-07  1.6172432E-05  8.0716477E-05  8.0627244E-05  9.2075731E-05  1.8301467E-03  9.4570919E-03  2.2298476E-04  2.0803287E-07  1.6652827E-07  0.0000000E+00  3.9051499E-03
  0.0000000E+00  1.6584030E-07  2.0386532E-07  1.5555613E-05  7.8908946E-05  7.8906076E-05  8.5476604E-05  1.7319605E-03  8.9632461E-03  2.1261987E-04  2.0386532E-07  1.6584030E-07  0.0000000E+00  3.9045390E-03
  0.0000000E+00  1.6463319E-07  1.9957134E-07  1.4977002E-05  7.7140819E-05  7.7222106E-05  7.9564465E-05  1.6415997E-03  8.5078838E-03  2.0300192E-04  1.9957134E-07  1.6463319E-07  0.0000000E+00  3.9039252E-03
  0.0000000E+00  1.6310903E-07  1.9524290E-07  1.4433433E-05  7.5414555E-05  7.5572857E-05  7.4247622E-05  1.5582418E-03  8.0870290E-03  1.9405842E-04  1.9524290E-07  1.6310903E-07  0.0000000E+00  3.9033082E-03
  0.0000000E+00  1.5995728E-07  1.8953731E-07  1.3922010E-05  7.3738077E-05  7.3960168E-05  6.9393408E-05  1.4811693E-03  7.6972114E-03  1.8572494E-04  1.8953731E-07  1.5995728E-07  0.0000000E+00  3.9026878E-03
  0.0000000E+00  1.5782732E-07  1.8513270E-07  1.3440285E-05  7.2123017E-05  7.2386733E-05  6.5041578E-05  1.4097590E-03  7.3353953E-03  1.7794627E-04  1.8513270E-07  1.5782732E-07  0.0000000E+00  3.9020639E-03
  3.2000000E-09  1.5556546E-07  1.8081181E-07  1.2985904E-05  7.0549747E-05  7.0852935E-05  6.1111801E-05  1.3434608E-03  6.9989094E-03  1.7067215E-04  1.8081181E-07  1.5556546E-07  3.2000000E-09  3.9014369E-03
  5.1756625E-09  1.5311000E-07  1.7668463E-07  1.2558506E-05  6.8972753E-05  6.9391959E-05  5.7561913E-05  1.2820774E-03  6.6861212E-03  1.6397163E-04  1.7668463E-07  1.5311000E-07  5.1756625E-09  3.9006111E-03
  1.0114565E-08  1.4922952E-07  1.7117888E-07  1.2155117E-05  6.7506498E-05  6.7957274E-05  5.4256750E-05  1.2249814E-03  6.3953458E-03  1.5762480E-04  1.7117888E-07  1.4922952E-07  1.0114565E-08  3.8994228E-03
  1.4253874E-08  1.4648165E-07  1.6691390E-07  1.1772310E-05  6.6079372E-05  6.6559077E-05  5.1261646E-05  1.1715370E-03  6.1227503E-03  1.5164512E-04  1.6691390E-07  1.4648165E-07  1.4253874E-08  3.8982277E-03
  1.8211549E-08  1.4375939E-07  1.6276039E-07  1.1408674E-05  6.4708385E-05  6.5208757E-05  4.8502751E-05  1.1214398E-03  5.8668481E-03  1.4600393E-04  1.6276039E-07  1.4375939E-07  1.8211549E-08  3.8970260E-03
  2.1777315E-08  1.4098338E-07  1.5874233E-07  1.1062945E-05  6.3371546E-05  6.3900664E-05  4.6021602E-05  1.0744165E-03  5.6263018E-03  1.4067592E-04  1.5874233E-07  1.4098338E-07  2.1777315E-08  3.8958181E-03
  2.4916898E-08  1.3849319E-07  1.5485742E-07  1.0733962E-05  6.2068502E-05  6.2625214E-05  4.3772713E-05  1.0302220E-03  5.3999069E-03  1.3563779E-04  1.5485742E-07  1.3849319E-07  2.4916898E-08  3.8946035E-03
  2.7784656E-08  1.3586092E-07  1.5110214E-07  1.0420656E-05  6.0799037E-05  6.1382086E-05  4.1679187E-05  9.8863466E-04  5.1865744E-03  1.3086872E-04  1.5110214E-07  1.3586092E-07  2.7784656E-08  3.8933818E-03
  2.9851633E-08  1.3210443E-07  1.4630969E-07  1.0122006E-05  5.9572055E-05  6.0170419E-05  3.9673422E-05  9.4945290E-04  4.9853169E-03  1.2634915E-04  1.4630969E-07  1.3210443E-07  2.9851633E-08  3.8921537E-03
  3.2027457E-08  1.2947707E-07  1.4273357E-07  9.8371825E-06  5.8384548E-05  5.9003987E-05  3.7846727E-05  9.1249807E-04  4.7952434E-03  1.2206250E-04  1.4273357E-07  1.2947707E-07  3.2027457E-08  3.8909185E-03
  3.3972338E-08  1.2678300E-07  1.3921032E-07  9.5653130E-06  5.7227359E-05  5.7870666E-05  3.6138622E-05  8.7760438E-04  4.6155393E-03  1.1799250E-04  1.3921032E-07  1.2678300E-07  3.3972338E-08  3.8896763E-03
  3.5696989E-08  1.2429488E-07  1.3591720E-07  9.3056202E-06  5.6109706E-05  5.6766132E-05  3.4539354E-05  8.4481249E-04  4.4454648E-03  1.1412461E-04  1.3591720E-07  1.2429488E-07  3.5696989E-08  3.8884274E-03
  3.7219316E-08  1.2186255E-07  1.3241122E-07  9.0573816E-06  5.5021994E-05  5.5689832E-05  3.3040150E-05  8.1405149E-04  4.2843450E-03  1.1044544E-04  1.3241122E-07  1.2186255E-07  3.7219316E-08  3.8871710E-03
  3.8574781E-08  1.1948989E-07  1.2951042E-07  8.8448295E-06  5.3962130E-05  5.4641140E-05  3.1633097E-05  7.8490747E-04  4.1315629E-03  1.0694279E-04  1.2951042E-07  1.1948989E-07  3.8574781E-08  3.8859075E-03
  3.9788223E-08  1.1718382E-07  1.2655361E-07  8.6376061E-06  5.2929499E-05  5.3619439E-05  3.0311043E-05  7.5726941E-04  3.9865542E-03  1.0360544E-04  1.2655361E-07  1.1718382E-07  3.9788223E-08  3.8846371E-03
  3.9936609E-08  1.1376807E-07  1.2264809E-07  8.4383220E-06  5.1923012E-05  5.2623601E-05  2.9012725E-05  7.3103433E-04  3.8487998E-03  1.0042254E-04  1.2264809E-07  1.1376807E-07  3.9936609E-08  3.8833590E-03
  4.0805899E-08  1.1115047E-07  1.2001001E-07  8.2466685E-06  5.0942831E-05  5.1653894E-05  2.7885562E-05  7.0611150E-04  3.7178278E-03  9.7385400E-05  1.2001001E-07  1.1115047E-07  4.0805899E-08  3.8820735E-03
  4.1550157E-08  1.0884775E-07  1.1744730E-07  8.0336668E-06  4.9998289E-05  5.0709148E-05  2.6840557E-05  6.8241417E-04  3.5932001E-03  9.4484807E-05  1.1744730E-07  1.0884775E-07  4.1550157E-08  3.8807806E-03
  4.2192980E-08  1.0683810E-07  1.1497475E-07  7.8852293E-06  4.9110519E-05  4.9794995E-05  2.5849499E-05  6.5986348E-04  3.4745144E-03  9.1712597E-05  1.1497475E-07  1.0683810E-07  4.2192980E-08  3.8794800E-03
  4.2750780E-08  1.0486898E-07  1.1257624E-07  7.7410264E-06  4.8243425E-05  4.8939319E-05  2.4923812E-05  6.3838709E-04  3.3614004E-03  8.9061229E-05  1.1257624E-07  1.0486898E-07  4.2750780E-08  3.8781719E-03
  4.3225587E-08  1.0296051E-07  1.1025829E-07  7.6009310E-06  4.7396600E-05  4.8103670E-05  2.4043738E-05  6.1791798E-04  3.2535157E-03  8.6523676E-05  1.1025829E-07  1.0296051E-07  4.3225587E-08  3.8768557E-03
  4.3650789E-08  1.0110622E-07  1.0801715E-07  7.4648099E-06  4.6569577E-05  4.7287603E-05  2.3206413E-05  5.9839453E-04  3.1505443E-03  8.4093483E-05  1.0801715E-07  1.0110622E-07  4.3650789E-08  3.8755320E-03
  4.3999738E-08  9.9296941E-08  1.0586067E-07  7.3325364E-06  4.5761950E-05  4.6490649E-05  2.2409337E-05  5.7975961E-04  3.0521931E-03  8.1764632E-05  1.0586067E-07  9.9296941E-08  4.3999738E-08  3.8742003E-03
  4.4293331E-08  9.7554613E-08  1.0379539E-07  7.2039928E-06  4.4973171E-05  4.5712422E-05  2.1654104E-05  5.6196033E-04  2.9581913E-03  7.9531468E-05  1.0379539E-07  9.7554613E-08  4.4293331E-08  3.8728606E-03
  0.0000000E+00  0.0000000E+00  6.3000000E-09  6.0252200E-05  1.7983260E-04  1.7914510E-04  1.4994145E-03  8.3206462E-03  4.1722117E-02  9.0654720E-04  6.3000000E-09  2.5000000E-09  0.0000000E+00  3.3841743E-03
  0.0000000E+00  0.0000000E+00  2.4117517E-07  5.3508256E-05  1.6440952E-04  1.6398016E-04  1.1017880E-03  7.1101030E-03  3.5869410E-02  7.8943997E-04  2.4117517E-07  2.5000000E-09  0.0000000E+00  3.3904097E-03
  0.0000000E+00  2.3129646E-21  2.4227205E-07  4.8181781E-05  1.5406395E-04  1.5352719E-04  8.3067143E-04  6.1612521E-03  3.1246414E-02  6.9581173E-04  2.4227205E-07  2.5000000E-09  0.0000000E+00  3.3899229E-03
  0.0000000E+00  2.3129646E-21  1.8315551E-07  4.3741798E-05  1.4821879E-04  1.4778040E-04  6.4193044E-04  5.3976402E-03  2.7507114E-02  6.1910688E-04  1.8315551E-07  2.4000000E-09  0.0000000E+00  3.3894337E-03
  0.0000000E+00  1.0000000E-10  1.3659998E-07  3.9990482E-05  1.4317661E-04  1.4268829E-04  5.0711338E-04  4.7735813E-03  2.4436621E-02  5.5610380E-04  1.3659998E-07  2.3000000E-09  0.0000000E+00  3.3889422E-03
  0.0000000E+00  1.0000000E-10  1.1387956E-07  3.6759372E-05  1.3809997E-04  1.3767450E-04  4.0868822E-04  4.2565885E-03  2.1881475E-02  5.0311846E-04  1.1387956E-07  4.2000000E-09  0.0000000E+00  3.3884483E-03
  0.0000000E+00  1.0000000E-10  1.1064067E-07  3.3951718E-05  1.3316328E-04  1.3277487E-04  3.3539101E-04  3.8230979E-03  1.9729935E-02  4.5801901E-04  1.1064067E-07  2.3000000E-09  0.0000000E+00  3.3879525E-03
  0.0000000E+00  1.2504022E-08  1.0805745E-07  3.1510112E-05  1.2835439E-04  1.2805478E-04  2.8021374E-04  3.4584810E-03  1.7912891E-02  4.1957287E-04  1.0805745E-07  1.2504022E-08  0.0000000E+00  3.3874212E-03
  0.0000000E+00  3.3864086E-08  1.0408815E-07  2.9382508E-05  1.2405868E-04  1.2381380E-04  2.3751988E-04  3.1504735E-03  1.6372011E-02  3.8715969E-04  1.0408815E-07  3.3864086E-08  0.0000000E+00  3.3868099E-03
  0.0000000E+00  5.0489580E-08  1.0147688E-07  2.7480416E-05  1.1992590E-04  1.1975501E-04  2.0334607E-04  2.8823229E-03  1.5025841E-02  3.5855434E-04  1.0147688E-07  5.0489580E-08  0.0000000E+00  3.3861955E-03
  0.0000000E+00  6.3771457E-08  1.0634776E-07  2.5772059E-05  1.1600094E-04  1.1587879E-04  1.7571415E-04  2.6473940E-03  1.3842513E-02  3.3316794E-04  1.0634776E-07  6.3771457E-08  0.0000000E+00  3.3855783E-03
  0.0000000E+00  7.3814916E-08  1.0913474E-07  2.4231207E-05  1.1224827E-04  1.1226423E-04  1.5307316E-04  2.4403752E-03  1.2796443E-02  3.1052196E-04  1.0913474E-07  7.3814916E-08  0.0000000E+00  3.3849585E-03
  0.0000000E+00  8.2039571E-08  1.1208408E-07  2.2835997E-05  1.0894154E-04  1.0898349E-04  1.3487994E-04  2.2569814E-03  1.1866911E-02  2.9022486E-04  1.1208408E-07  8.2039571E-08  0.0000000E+00  3.3843356E-03
  0.0000000E+00  8.7519911E-08  1.1290888E-07  2.1568079E-05  1.0574583E-04  1.0584781E-04  1.1968699E-04  2.0937179E-03  1.1036983E-02  2.7195369E-04  1.1290888E-07  8.7519911E-08  0.0000000E+00  3.3837098E-03
  0.0000000E+00  9.1748062E-08  1.1406382E-07  2.0411968E-05  1.0268528E-04  1.0283303E-04  1.0687410E-04  1.9477184E-03  1.0292719E-02  2.5543985E-04  1.1406382E-07  9.1748062E-08  0.0000000E+00  3.3830811E-03
  0.0000000E+00  9.5342212E-08  1.1494930E-07  1.9354524E-05  9.9730965E-05  9.9931901E-05  9.5964200E-05  1.8166101E-03  9.6225497E-03  2.4045867E-04  1.1494930E-07  9.5342212E-08  0.0000000E+00  3.3824493E-03
  0.0000000E+00  9.6928547E-08  1.1396977E-07  1.8384500E-05  9.6864719E-05  9.7115504E-05  8.6580619E-05  1.6984148E-03  9.0168112E-03  2.2682041E-04  1.1396977E-07  9.6928547E-08  0.0000000E+00  3.3818145E-03
  0.0000000E+00  9.8540799E-08  1.1347337E-07  1.7492229E-05  9.4091687E-05  9.4389297E-05  7.8577909E-05  1.5914773E-03  8.4673809E-03  2.1436496E-04  1.1347337E-07  9.8540799E-08  0.0000000E+00  3.3811770E-03
  0.0000000E+00  9.9444619E-08  1.1235430E-07  1.6669391E-05  9.1413766E-05  9.1755316E-05  7.1619929E-05  1.4943978E-03  7.9673847E-03  2.0295538E-04  1.1235430E-07  9.9444619E-08  0.0000000E+00  3.3805362E-03
  0.0000000E+00  9.8990997E-08  1.0982139E-07  1.5908773E-05  8.8830836E-05  8.9213831E-05  6.5543215E-05  1.4059893E-03  7.5109789E-03  1.9247405E-04  1.0982139E-07  9.8990997E-08  0.0000000E+00  3.3798924E-03
  0.0000000E+00  9.8765444E-08  1.0871287E-07  1.5204060E-05  8.6383806E-05  8.6792822E-05  6.0287647E-05  1.3252412E-03  7.0931657E-03  1.8282064E-04  1.0871287E-07  9.8765444E-08  0.0000000E+00  3.3792456E-03
  0.0000000E+00  9.8384930E-08  1.0743027E-07  1.4549760E-05  8.4032017E-05  8.4475862E-05  5.5863421E-05  1.2512850E-03  6.7096499E-03  1.7390745E-04  1.0743027E-07  9.8384930E-08  0.0000000E+00  3.3785953E-03
  0.0000000E+00  9.7728631E-08  1.0604199E-07  1.3918878E-05  8.1766458E-05  8.2246199E-05  5.1921105E-05  1.1833732E-03  6.3567241E-03  1.6565856E-04  1.0604199E-07  9.7728631E-08  0.0000000E+00  3.3779423E-03
  0.0000000E+00  9.5928413E-08  1.0344345E-07  1.3437543E-05  7.9583021E-05  8.0096784E-05  4.8341032E-05  1.1208583E-03  6.0311725E-03  1.5800744E-04  1.0344345E-07  9.5928413E-08  0.0000000E+00  3.3772859E-03
  0.0000000E+00  9.4816018E-08  1.0177417E-07  1.2983086E-05  7.7488288E-05  7.8028596E-05  4.5144613E-05  1.0631797E-03  5.7301973E-03  1.5089650E-04  1.0177417E-07  9.4816018E-08  0.0000000E+00  3.3766265E-03
  0.0000000E+00  9.3576311E-08  1.0008201E-07  1.2580813E-05  7.5477429E-05  7.6048469E-05  4.2259473E-05  1.0102672E-03  5.4513509E-03  1.4427455E-04  1.0008201E-07  9.3576311E-08  0.0000000E+00  3.3759634E-03
  3.1000000E-09  9.2277760E-08  9.8172200E-08  1.2218409E-05  7.3540020E-05  7.4140328E-05  3.9665552E-05  9.6164749E-04  5.1924866E-03  1.3809646E-04  9.8172200E-08  9.2277760E-08  3.1000000E-09  3.3752975E-03
  4.2941235E-09  9.0855724E-08  9.6424818E-08  1.1873474E-05  7.1634541E-05  7.2330100E-05  3.7312925E-05  9.1670194E-04  4.9522688E-03  1.3241221E-04  9.6424818E-08  9.0855724E-08  4.2941235E-09  3.3744592E-03
  7.2286440E-09  8.8382308E-08  9.3589080E-08  1.1545018E-05  6.9858977E-05  7.0570001E-05  3.5120536E-05  8.7494966E-04  4.7293367E-03  1.2704546E-04  9.3589080E-08  8.8382308E-08  7.2286440E-09  3.3733066E-03
  9.8643067E-09  8.6771151E-08  9.1697941E-08  1.1230406E-05  6.8224804E-05  6.8921594E-05  3.3141580E-05  8.3591999E-04  4.5206846E-03  1.2199961E-04  9.1697941E-08  8.6771151E-08  9.8643067E-09  3.3721479E-03
  1.2240286E-08  8.5147995E-08  8.9838978E-08  1.0928911E-05  6.6639982E-05  6.7360509E-05  3.1381374E-05  7.9938184E-04  4.3251226E-03  1.1724918E-04  8.9838978E-08  8.5147995E-08  1.2240286E-08  3.3709832E-03
  1.4384207E-08  8.3573689E-08  8.8081309E-08  1.0639882E-05  6.5103341E-05  6.5846587E-05  2.9777072E-05  7.6512899E-04  4.1415834E-03  1.1277147E-04  8.8081309E-08  8.3573689E-08  1.4384207E-08  3.3698123E-03
  1.6274140E-08  8.2011363E-08  8.6330911E-08  1.0362689E-05  6.3613497E-05  6.4378617E-05  2.8287584E-05  7.3297608E-04  3.9691062E-03  1.0854567E-04  8.6330911E-08  8.2011363E-08  1.6274140E-08  3.3686351E-03
  1.7990425E-08  8.0482425E-08  8.4639135E-08  1.0096752E-05  6.2169231E-05  6.2955259E-05  2.6902620E-05  7.0275584E-04  3.8068241E-03  1.0457627E-04  8.4639135E-08  8.0482425E-08  1.7990425E-08  3.3674516E-03
  1.9007692E-08  7.8058462E-08  8.1963313E-08  9.8414510E-06  6.0768771E-05  6.1574912E-05  2.5569865E-05  6.7431674E-04  3.6539527E-03  1.0082594E-04  8.1963313E-08  7.8058462E-08  1.9007692E-08  3.3662618E-03
  2.0309910E-08  7.6515942E-08  8.0285192E-08  9.5963578E-06  5.9411410E-05  6.0236840E-05  2.4363700E-05  6.4752404E-04  3.5097840E-03  9.7274118E-05  8.0285192E-08  7.6515942E-08  2.0309910E-08  3.3650655E-03
  2.1462004E-08  7.5012602E-08  7.8682773E-08  9.3609237E-06  5.8101104E-05  5.8939451E-05  2.3237157E-05  6.2225336E-04  3.3736732E-03  9.3906754E-05  7.8682773E-08  7.5012602E-08  2.1462004E-08  3.3638625E-03
  2.2493826E-08  7.3455268E-08  7.7093362E-08  9.1346700E-06  5.6835361E-05  5.7689533E-05  2.2183643E-05  5.9839234E-04  3.2450346E-03  9.0711201E-05  7.7093362E-08  7.3455268E-08  2.2493826E-08  3.3626531E-03
  2.3416131E-08  7.1715384E-08  7.5576000E-08  8.9171493E-06  5.5616106E-05  5.6479029E-05  2.1197224E-05  5.7583904E-04  3.1233348E-03  8.7675861E-05  7.5576000E-08  7.1715384E-08  2.3416131E-08  3.3614371E-03
  2.4232594E-08  7.0407476E-08  7.4074220E-08  8.7079342E-06  5.4437721E-05  5.5304349E-05  2.0272552E-05  5.5450024E-04  3.0080872E-03  8.4790091E-05  7.4074220E-08  7.0407476E-08  2.4232594E-08  3.3602143E-03
  2.4978001E-08  6.8948013E-08  7.2660368E-08  8.5066268E-06  5.3360401E-05  5.4176726E-05  1.9404797E-05  5.3429109E-04  2.8988468E-03  8.2044223E-05  7.2660368E-08  6.8948013E-08  2.4978001E-08  3.3589848E-03
  2.4894475E-08  6.6765413E-08  7.0266496E-08  8.3127918E-06  5.2310927E-05  5.3137316E-05  1.8554568E-05  5.1513235E-04  2.7952022E-03  7.9428967E-05  7.0266496E-08  6.6765413E-08  2.4894475E-08  3.3577482E-03
  2.5400998E-08  6.5535979E-08  6.8858740E-08  8.1261752E-06  5.1289256E-05  5.2125517E-05  1.7808641E-05  4.9695593E-04  2.6967887E-03  7.6936685E-05  6.8858740E-08  6.5535979E-08  2.5400998E-08  3.3565047E-03
  2.5856124E-08  6.4320410E-08  6.7511325E-08  7.9463887E-06  5.0294375E-05  5.1140324E-05  1.7115002E-05  4.7969518E-04  2.6032591E-03  7.4574587E-05  6.7511325E-08  6.4320410E-08  2.5856124E-08  3.3552543E-03
  2.6252227E-08  6.3169619E-08  6.6189850E-08  7.7731122E-06  4.9325542E-05  5.0180995E-05  1.6476571E-05  4.6329007E-04  2.5142984E-03  7.2339803E-05  6.6189850E-08  6.3169619E-08  2.6252227E-08  3.3539967E-03
  2.6597307E-08  6.2045356E-08  6.4823216E-08  7.6060414E-06  4.8381973E-05  4.9246780E-05  1.5872380E-05  4.4768566E-04  2.4296163E-03  7.0203769E-05  6.4823216E-08  6.2045356E-08  2.6597307E-08  3.3527321E-03
  2.6887021E-08  6.0938902E-08  6.3621467E-08  7.4448939E-06  4.7463012E-05  4.8336983E-05  1.5298382E-05  4.3283150E-04  2.3489477E-03  6.8160770E-05  6.3621467E-08  6.0938902E-08  2.6887021E-08  3.3514602E-03
  2.7143907E-08  5.9874404E-08  6.2441749E-08  7.2893938E-06  4.6567895E-05  4.7450879E-05  1.4752797E-05  4.1867985E-04  2.2720404E-03  6.6205340E-05  6.2441749E-08  5.9874404E-08  2.7143907E-08  3.3501807E-03
  2.7370621E-08  5.8847410E-08  6.1320872E-08  7.1392900E-06  4.5695952E-05  4.6587759E-05  1.4238217E-05  4.0518802E-04  2.1986685E-03  6.4332569E-05  6.1320872E-08  5.8847410E-08  2.7370621E-08  3.3488938E-03
  2.6715690E-08  5.6890025E-08  5.9233105E-08  6.9942881E-06  4.4846165E-05  4.5746658E-05  1.3710984E-05  3.9231511E-04  2.1286202E-03  6.2537561E-05  5.9233105E-08  5.6890025E-08  2.6715690E-08  3.3475998E-03
  0.0000000E+00  3.0000000E-10  5.8000000E-09  6.2362300E-05  2.0284820E-04  2.0249100E-04  1.0701407E-03  6.3231737E-03  3.2695289E-02  7.7031300E-04  5.8000000E-09  5.1000000E-09  0.0000000E+00  2.9253080E-03
  0.0000000E+00  3.0000000E-10  4.5703170E-07  5.4861598E-05  1.8932624E-04  1.8905928E-04  7.7523879E-04  5.3639567E-03  2.7929900E-02  6.6949210E-04  4.5703170E-07  5.1000000E-09  0.0000000E+00  2.9233974E-03
  0.0000000E+00  4.0000000E-10  5.3929108E-07  4.8657926E-05  1.7968430E-04  1.7949710E-04  5.7868837E-04  4.6206164E-03  2.4201549E-02  5.8844540E-04  5.3929108E-07  4.9000000E-09  0.0000000E+00  2.9228831E-03
  0.0000000E+00  5.0000000E-10  4.9276799E-07  4.3534205E-05  1.7122116E-04  1.7108486E-04  4.4312044E-04  4.0254878E-03  2.1200929E-02  5.2217542E-04  4.9276799E-07  5.0000000E-09  0.0000000E+00  2.9223664E-03
  0.0000000E+00  4.0000000E-10  4.1045516E-07  3.9248594E-05  1.6373739E-04  1.6370545E-04  3.4701359E-04  3.5415250E-03  1.8748533E-02  4.6725177E-04  4.1045516E-07  4.7000000E-09  0.0000000E+00  2.9218478E-03
  0.0000000E+00  6.0000000E-10  3.2929819E-07  3.5623733E-05  1.5691036E-04  1.5693039E-04  2.7750233E-04  3.1424764E-03  1.6716721E-02  4.2117455E-04  3.2929819E-07  4.8000000E-09  0.0000000E+00  2.9213270E-03
  0.0000000E+00  4.0000000E-10  2.6109849E-07  3.2527021E-05  1.5093950E-04  1.5100389E-04  2.2611890E-04  2.8093770E-03  1.5012934E-02  3.8209396E-04  2.6109849E-07  4.6000000E-09  0.0000000E+00  2.9208039E-03
  0.0000000E+00  9.1748470E-09  2.1395001E-07  2.9876408E-05  1.4513598E-04  1.4526324E-04  1.8755152E-04  2.5303940E-03  1.3579656E-02  3.4887054E-04  2.1395001E-07  9.1748470E-09  0.0000000E+00  2.9202502E-03
  0.0000000E+00  2.0808169E-08  1.7487398E-07  2.7600014E-05  1.3957993E-04  1.3976908E-04  1.5788912E-04  2.2956760E-03  1.2368683E-02  3.2052509E-04  1.7487398E-07  2.0808169E-08  0.0000000E+00  2.9196272E-03
  0.0000000E+00  2.9832013E-08  1.4902547E-07  2.5591368E-05  1.3422065E-04  1.3445658E-04  1.3451481E-04  2.0921053E-03  1.1314359E-02  2.9562848E-04  1.4902547E-07  2.9832013E-08  0.0000000E+00  2.9190014E-03
  0.0000000E+00  3.7529458E-08  1.3127829E-07  2.4011614E-05  1.2917765E-04  1.2946934E-04  1.1571149E-04  1.9144059E-03  1.0390610E-02  2.7363276E-04  1.3127829E-07  3.7529458E-08  0.0000000E+00  2.9183729E-03
  0.0000000E+00  4.3118435E-08  1.1704164E-07  2.2637473E-05  1.2433712E-04  1.2468120E-04  1.0037184E-04  1.7583676E-03  9.5765712E-03  2.5409515E-04  1.1704164E-07  4.3118435E-08  0.0000000E+00  2.9177415E-03
  0.0000000E+00  4.7868499E-08  1.0695777E-07  2.1387089E-05  1.1970873E-04  1.2010194E-04  8.8012205E-05  1.6206041E-03  8.8553965E-03  2.3665545E-04  1.0695777E-07  4.7868499E-08  0.0000000E+00  2.9171077E-03
  0.0000000E+00  5.0482659E-08  9.9459137E-08  2.0245799E-05  1.1529395E-04  1.1573323E-04  7.7803000E-05  1.4983633E-03  8.2133593E-03  2.2101720E-04  9.9459137E-08  5.0482659E-08  0.0000000E+00  2.9164707E-03
  0.0000000E+00  5.3310055E-08  9.4655145E-08  1.9200986E-05  1.1109039E-04  1.1157296E-04  6.9241692E-05  1.3893933E-03  7.6391900E-03  2.0693550E-04  9.4655145E-08  5.3310055E-08  0.0000000E+00  2.9158311E-03
  0.0000000E+00  5.5401057E-08  9.0920506E-08  1.8313079E-05  1.0709230E-04  1.0761534E-04  6.1977698E-05  1.2918366E-03  7.1235631E-03  1.9420571E-04  9.0920506E-08  5.5401057E-08  0.0000000E+00  2.9151887E-03
  0.0000000E+00  5.6198438E-08  8.7358670E-08  1.7525874E-05  1.0329160E-04  1.0385267E-04  5.5741059E-05  1.2043862E-03  6.6587100E-03  1.8274301E-04  8.7358670E-08  5.6198438E-08  0.0000000E+00  2.9145433E-03
  0.0000000E+00  5.7172112E-08  8.4852192E-08  1.6791666E-05  9.9828558E-05  1.0037141E-04  5.0395918E-05  1.1268452E-03  6.2381162E-03  1.7230498E-04  8.4852192E-08  5.7172112E-08  0.0000000E+00  2.9138951E-03
  0.0000000E+00  5.7721337E-08  8.2633165E-08  1.6105884E-05  9.6637894E-05  9.7211328E-05  4.5817670E-05  1.0566515E-03  5.8562844E-03  1.6276799E-04  8.2633165E-08  5.7721337E-08  0.0000000E+00  2.9132440E-03
  0.0000000E+00  5.7351250E-08  7.9850952E-08  1.5464403E-05  9.3600004E-05  9.4208482E-05  4.1798337E-05  9.9283967E-04  5.5085504E-03  1.5402864E-04  7.9850952E-08  5.7351250E-08  0.0000000E+00  2.9125902E-03
  0.0000000E+00  5.7316129E-08  7.7898091E-08  1.4863593E-05  9.0691022E-05  9.1332586E-05  3.8350653E-05  9.3465516E-04  5.1909363E-03  1.4599851E-04  7.7898091E-08  5.7316129E-08  0.0000000E+00  2.9119331E-03
  0.0000000E+00  5.7023415E-08  7.6124345E-08  1.4300087E-05  8.7906177E-05  8.8579098E-05  3.5470071E-05  8.8145087E-04  4.9000299E-03  1.3864163E-04  7.6124345E-08  5.7023415E-08  0.0000000E+00  2.9112731E-03
  0.0000000E+00  5.6684586E-08  7.4468187E-08  1.3770877E-05  8.5240627E-05  8.5943163E-05  3.2908436E-05  8.3267040E-04  4.6328928E-03  1.3192860E-04  7.4468187E-08  5.6684586E-08  0.0000000E+00  2.9106102E-03
  0.0000000E+00  5.6242699E-08  7.2818785E-08  1.3273234E-05  8.2689217E-05  8.3419783E-05  3.0611594E-05  7.8783398E-04  4.3869822E-03  1.2570838E-04  7.2818785E-08  5.6242699E-08  0.0000000E+00  2.9099441E-03
  0.0000000E+00  5.4920301E-08  7.0540839E-08  1.2804647E-05  8.0246473E-05  8.1003611E-05  2.8511351E-05  7.4652433E-04  4.1600885E-03  1.1993261E-04  7.0540839E-08  5.4920301E-08  0.0000000E+00  2.9092752E-03
  0.0000000E+00  5.4252432E-08  6.9058197E-08  1.2362966E-05  7.7907905E-05  7.8690137E-05  2.6658782E-05  7.0838015E-04  3.9502852E-03  1.1455905E-04  6.9058197E-08  5.4252432E-08  0.0000000E+00  2.9086028E-03
  3.1000000E-09  5.3518859E-08  6.7651915E-08  1.1946117E-05  7.5668092E-05  7.6474128E-05  2.4981851E-05  6.7308382E-04  3.7558844E-03  1.0955036E-04  6.7651915E-08  5.3518859E-08  3.1000000E-09  2.9079278E-03
  3.8004207E-09  5.2745868E-08  6.6256448E-08  1.1553430E-05  7.3492175E-05  7.4376096E-05  2.3472525E-05  6.4051683E-04  3.5758169E-03  1.0494313E-04  6.6256448E-08  5.2745868E-08  3.8004207E-09  2.9071038E-03
  5.4796925E-09  5.1183006E-08  6.4077840E-08  1.1183158E-05  7.1480024E-05  7.2354356E-05  2.2057362E-05  6.1031361E-04  3.4090118E-03  1.0059976E-04  6.4077840E-08  5.1183006E-08  5.4796925E-09  2.9060086E-03
  7.0142960E-09  5.0264241E-08  6.2643170E-08  1.0831652E-05  6.9666610E-05  7.0509396E-05  2.0841968E-05  5.8212739E-04  3.2531623E-03  9.6519542E-05  6.2643170E-08  5.0264241E-08  7.0142960E-09  2.9049079E-03
  8.3925464E-09  4.9366640E-08  6.1287569E-08  1.0497661E-05  6.7919932E-05  6.8783867E-05  1.9723740E-05  5.5578415E-04  3.1073385E-03  9.2681395E-05  6.1287569E-08  4.9366640E-08  8.3925464E-09  2.9038016E-03
  9.6313135E-09  4.8491675E-08  5.9868470E-08  1.0180048E-05  6.6231070E-05  6.7115302E-05  1.8688701E-05  5.3112853E-04  2.9707076E-03  8.9066539E-05  5.9868470E-08  4.8491675E-08  9.6313135E-09  2.9026896E-03
  1.0735710E-08  4.7627311E-08  5.8576202E-08  9.8777715E-06  6.4598206E-05  6.5501811E-05  1.7729163E-05  5.0802108E-04  2.8425209E-03  8.5657806E-05  5.8576202E-08  4.7627311E-08  1.0735710E-08  2.9015718E-03
  1.1739164E-08  4.6425051E-08  5.7466856E-08  9.5898710E-06  6.3019400E-05  6.3941553E-05  1.6838292E-05  4.8633644E-04  2.7221041E-03  8.2439779E-05  5.7466856E-08  4.6425051E-08  1.1739164E-08  2.9004481E-03
  1.2256394E-08  4.4912054E-08  5.5656739E-08  9.3154219E-06  6.1492599E-05  6.2432475E-05  1.5977404E-05  4.6596096E-04  2.6088478E-03  7.9398349E-05  5.5656739E-08  4.4912054E-08  1.2256394E-08  2.8993186E-03
  1.2999386E-08  4.4103600E-08  5.4585228E-08  9.0536670E-06  6.0016223E-05  6.0973098E-05  1.5203451E-05  4.4679376E-04  2.5022032E-03  7.6520943E-05  5.4585228E-08  4.4103600E-08  1.2999386E-08  2.8981832E-03
  1.3675207E-08  4.3312067E-08  5.3517908E-08  8.8038172E-06  5.8591681E-05  5.9561465E-05  1.4481631E-05  4.2874193E-04  2.4016709E-03  7.3795882E-05  5.3517908E-08  4.3312067E-08  1.3675207E-08  2.8970416E-03
  1.4271081E-08  4.2438722E-08  5.2480522E-08  8.5651610E-06  5.7214947E-05  5.8200275E-05  1.3807575E-05  4.1172168E-04  2.3067982E-03  7.1212518E-05  5.2480522E-08  4.2438722E-08  1.4271081E-08  2.8958941E-03
  1.4811198E-08  4.1503235E-08  5.1591431E-08  8.3370451E-06  5.5884638E-05  5.6883064E-05  1.3177357E-05  3.9565693E-04  2.2171734E-03  6.8761190E-05  5.1591431E-08  4.1503235E-08  1.4811198E-08  2.8947403E-03
  1.5302479E-08  4.0811624E-08  5.0744426E-08  8.1188665E-06  5.4602289E-05  5.5608034E-05  1.2591261E-05  3.8047849E-04  2.1324212E-03  6.6433033E-05  5.0744426E-08  4.0811624E-08  1.5302479E-08  2.8935805E-03
  1.5726149E-08  4.0135565E-08  4.9925845E-08  7.9100514E-06  5.3360683E-05  5.4373571E-05  1.2044170E-05  3.6612317E-04  2.0521992E-03  6.4219897E-05  4.9925845E-08  4.0135565E-08  1.5726149E-08  2.8924142E-03
  1.5571817E-08  3.8746871E-08  4.8438082E-08  7.7100471E-06  5.2158129E-05  5.3177964E-05  1.1512668E-05  3.5253282E-04  1.9761941E-03  6.2114235E-05  4.8438082E-08  3.8746871E-08  1.5571817E-08  2.8912416E-03
  1.5870623E-08  3.8065180E-08  4.7427907E-08  7.5184256E-06  5.0993474E-05  5.2020103E-05  1.1039992E-05  3.3965586E-04  1.9041203E-03  6.0109327E-05  4.7427907E-08  3.8065180E-08  1.5870623E-08  2.8900626E-03
  1.6132874E-08  3.7395587E-08  4.6686339E-08  7.3346962E-06  4.9865134E-05  5.0898364E-05  1.0598565E-05  3.2744340E-04  1.8357146E-03  5.8198955E-05  4.6686339E-08  3.7395587E-08  1.6132874E-08  2.8888772E-03
  1.6364767E-08  3.6749408E-08  4.5978651E-08  7.1584390E-06  4.8771724E-05  4.9811408E-05  1.0194379E-05  3.1585119E-04  1.7707357E-03  5.6377986E-05  4.5978651E-08  3.6749408E-08  1.6364767E-08  2.8876851E-03
  1.6577487E-08  3.6133829E-08  4.5296449E-08  6.9892526E-06  4.7711932E-05  4.8757876E-05  9.8131414E-06  3.0483862E-04  1.7089618E-03  5.4640049E-05  4.5296449E-08  3.6133829E-08  1.6577487E-08  2.8864865E-03
  1.6753499E-08  3.5530780E-08  4.4610094E-08  6.8267641E-06  4.6684472E-05  4.7736501E-05  9.4512491E-06  2.9436820E-04  1.6501885E-03  5.2980162E-05  4.4610094E-08  3.5530780E-08  1.6753499E-08  2.8852810E-03
  1.6912303E-08  3.4950834E-08  4.3943103E-08  6.6706272E-06  4.5688140E-05  4.6746065E-05  9.1137985E-06  2.8440545E-04  1.5942275E-03  5.1393727E-05  4.3943103E-08  3.4950834E-08  1.6912303E-08  2.8840689E-03
  1.7061282E-08  3.4391435E-08  4.3298861E-08  6.5205166E-06  4.4721732E-05  4.5785412E-05  8.7982257E-06  2.7491862E-04  1.5409049E-03  4.9877130E-05  4.3298861E-08  3.4391435E-08  1.7061282E-08  2.8828499E-03
  1.7180849E-08  3.3855293E-08  4.2675189E-08  6.3761270E-06  4.3784143E-05  4.4853395E-05  8.4972979E-06  2.6587832E-04  1.4900600E-03  4.8425756E-05  4.2675189E-08  3.3855293E-08  1.7180849E-08  2.8816240E-03
  0.0000000E+00  0.0000000E+00  4.7000000E-09  5.7861500E-05  2.5219130E-04  2.5206700E-04  7.4860800E-04  4.6819279E-03  2.5035214E-02  6.4560290E-04  4.7000000E-09  3.0000000E-09  0.0000000E+00  2.5291642E-03
  0.0000000E+00  0.0000000E+00  5.3706743E-07  4.9950381E-05  2.3184916E-04  2.3185973E-04  5.3669039E-04  3.9472463E-03  2.1266197E-02  5.5548016E-04  5.3706743E-07  3.0000000E-09  0.0000000E+00  2.5296192E-03
  0.0000000E+00  2.0000000E-10  6.4817590E-07  4.4236307E-05  2.1753604E-04  2.1760993E-04  3.9553571E-04  3.3774954E-03  1.8319955E-02  4.8511726E-04  6.4817590E-07  3.0000000E-09  0.0000000E+00  2.5290996E-03
  0.0000000E+00  2.0000000E-10  6.1304628E-07  3.9904534E-05  2.0439447E-04  2.0453735E-04  2.9926219E-04  2.9239227E-03  1.5961835E-02  4.2793524E-04  6.1304628E-07  2.7000000E-09  0.0000000E+00  2.5285779E-03
  0.0000000E+00  2.0000000E-10  5.3625948E-07  3.6221007E-05  1.9223245E-04  1.9244252E-04  2.3177208E-04  2.5570765E-03  1.4044512E-02  3.8082228E-04  5.3625948E-07  1.9000000E-09  0.0000000E+00  2.5280542E-03
  0.0000000E+00  3.0000000E-10  4.5358749E-07  3.3065377E-05  1.8105912E-04  1.8133093E-04  1.8352406E-04  2.2561708E-03  1.2463724E-02  3.4159110E-04  4.5358749E-07  3.8000000E-09  0.0000000E+00  2.5275283E-03
  0.0000000E+00  2.0000000E-10  3.7966043E-07  3.0341630E-05  1.7094699E-04  1.7127665E-04  1.4835044E-04  2.0062458E-03  1.1144208E-02  3.0869563E-04  3.7966043E-07  1.9000000E-09  0.0000000E+00  2.5270003E-03
  0.0000000E+00  6.8790046E-09  3.1816607E-07  2.8120286E-05  1.6173557E-04  1.6212174E-04  1.2215509E-04  1.7979240E-03  1.0038983E-02  2.8084031E-04  3.1816607E-07  6.8790046E-09  0.0000000E+00  2.5264458E-03
  0.0000000E+00  1.2958066E-08  2.6962809E-07  2.6310532E-05  1.5341157E-04  1.5382772E-04  1.0211424E-04  1.6234538E-03  9.1089734E-03  2.5751378E-04  2.6962809E-07  1.2958066E-08  0.0000000E+00  2.5258310E-03
  0.0000000E+00  1.7772549E-08  2.3040497E-07  2.4678514E-05  1.4628903E-04  1.4672793E-04  8.6345351E-05  1.4727847E-03  8.3023340E-03  2.3716438E-04  2.3040497E-07  1.7772549E-08  0.0000000E+00  2.5252135E-03
  0.0000000E+00  2.1981208E-08  1.9916743E-07  2.3202018E-05  1.3966127E-04  1.4014978E-04  7.3873987E-05  1.3428283E-03  7.5981522E-03  2.1920586E-04  1.9916743E-07  2.1981208E-08  0.0000000E+00  2.5245936E-03
  0.0000000E+00  2.4927233E-08  1.7393719E-07  2.1861937E-05  1.3344466E-04  1.3397973E-04  6.3757727E-05  1.2308179E-03  6.9797528E-03  2.0327214E-04  1.7393719E-07  2.4927233E-08  0.0000000E+00  2.5239709E-03
  0.0000000E+00  2.7169890E-08  1.5359098E-07  2.0642026E-05  1.2764270E-04  1.2821514E-04  5.5644793E-05  1.1321948E-03  6.4337180E-03  1.8906473E-04  1.5359098E-07  2.7169890E-08  0.0000000E+00  2.5233457E-03
  0.0000000E+00  2.8829698E-08  1.3746172E-07  1.9528260E-05  1.2222408E-04  1.2283752E-04  4.8955668E-05  1.0449090E-03  5.9491511E-03  1.7633876E-04  1.3746172E-07  2.8829698E-08  0.0000000E+00  2.5227180E-03
  0.0000000E+00  3.0453357E-08  1.2458150E-07  1.8508648E-05  1.1713622E-04  1.1778800E-04  4.3397152E-05  9.6728924E-04  5.5171334E-03  1.6489157E-04  1.2458150E-07  3.0453357E-08  0.0000000E+00  2.5220876E-03
  0.0000000E+00  3.1650834E-08  1.1468848E-07  1.7572759E-05  1.1235618E-04  1.1304382E-04  3.8702171E-05  8.9795923E-04  5.1303085E-03  1.5455428E-04  1.1468848E-07  3.1650834E-08  0.0000000E+00  2.5214544E-03
  0.0000000E+00  3.2018613E-08  1.0572167E-07  1.6711565E-05  1.0786212E-04  1.0858323E-04  3.4684756E-05  8.3577907E-04  4.7825645E-03  1.4518630E-04  1.0572167E-07  3.2018613E-08  0.0000000E+00  2.5208187E-03
  0.0000000E+00  3.2606274E-08  9.9016531E-08  1.5917280E-05  1.0364695E-04  1.0439615E-04  3.1257040E-05  7.7979904E-04  4.4687919E-03  1.3667648E-04  9.9016531E-08  3.2606274E-08  0.0000000E+00  2.5201803E-03
  0.0000000E+00  3.3001532E-08  9.3374491E-08  1.5183041E-05  9.9790770E-05  1.0048994E-04  2.8311617E-05  7.2922113E-04  4.1846904E-03  1.2891369E-04  9.3374491E-08  3.3001532E-08  0.0000000E+00  2.5195390E-03
  0.0000000E+00  3.2700544E-08  8.8299546E-08  1.4502846E-05  9.6374547E-05  9.7106507E-05  2.5773698E-05  6.8337119E-04  3.9266213E-03  1.2181010E-04  8.8299546E-08  3.2700544E-08  0.0000000E+00  2.5188950E-03
  0.0000000E+00  3.2728479E-08  8.4278669E-08  1.3871485E-05  9.3122116E-05  9.3885023E-05  2.3652818E-05  6.4167883E-04  3.6914888E-03  1.1529187E-04  8.4278669E-08  3.2728479E-08  0.0000000E+00  2.5182483E-03
  0.0000000E+00  3.2653136E-08  8.0797577E-08  1.3284301E-05  9.0024950E-05  9.0817014E-05  2.1830086E-05  6.0365550E-04  3.4766453E-03  1.0929518E-04  8.0797577E-08  3.2653136E-08  0.0000000E+00  2.5175988E-03
  0.0000000E+00  3.2414050E-08  7.7730165E-08  1.2737212E-05  8.7074819E-05  8.7894412E-05  2.0206961E-05  5.6888311E-04  3.2798151E-03  1.0376483E-04  7.7730165E-08  3.2414050E-08  0.0000000E+00  2.5169464E-03
  0.0000000E+00  3.1668601E-08  7.4544985E-08  1.2226560E-05  8.4263569E-05  8.5109096E-05  1.8746648E-05  5.3700101E-04  3.0990337E-03  9.8652919E-05  7.4544985E-08  3.1668601E-08  0.0000000E+00  2.5162911E-03
  0.0000000E+00  3.1378946E-08  7.1959101E-08  1.1749172E-05  8.1583715E-05  8.2453729E-05  1.7460681E-05  5.0769827E-04  2.9325991E-03  9.3917505E-05  7.1959101E-08  3.1378946E-08  0.0000000E+00  2.5156331E-03
  0.0000000E+00  3.1047464E-08  6.9712373E-08  1.1302158E-05  7.9027880E-05  7.9920932E-05  1.6307274E-05  4.8070368E-04  2.7790287E-03  8.9521863E-05  6.9712373E-08  3.1047464E-08  0.0000000E+00  2.5149720E-03
  3.1000000E-09  3.0692676E-08  6.7678526E-08  1.0882952E-05  7.6588986E-05  7.7503823E-05  1.5269396E-05  4.5578134E-04  2.6370278E-03  8.5434154E-05  6.7678526E-08  3.0692676E-08  3.1000000E-09  2.5143082E-03
  3.4915780E-09  2.9909765E-08  6.5750765E-08  1.0490415E-05  7.4238359E-05  7.5217626E-05  1.4344699E-05  4.3284027E-04  2.5057607E-03  8.1681089E-05  6.5750765E-08  2.9909765E-08  3.4915780E-09  2.5135154E-03
  4.4364788E-09  2.8945366E-08  6.3366147E-08  1.0122447E-05  7.2030056E-05  7.3026944E-05  1.3502616E-05  4.1160755E-04  2.3844053E-03  7.8153433E-05  6.3366147E-08  2.8945366E-08  4.4364788E-09  2.5124880E-03
  5.2939989E-09  2.8504825E-08  6.1559939E-08  9.7750209E-06  6.9913831E-05  7.0927432E-05  1.2746420E-05  3.9183391E-04  2.2712369E-03  7.4846031E-05  6.1559939E-08  2.8504825E-08  5.2939989E-09  2.5114554E-03
  6.0681494E-09  2.8065722E-08  5.9917613E-08  9.4466193E-06  6.7884985E-05  6.8914311E-05  1.2048557E-05  3.7339080E-04  2.1655461E-03  7.1740906E-05  5.9917613E-08  2.8065722E-08  6.0681494E-09  2.5104176E-03
  6.7696129E-09  2.7641676E-08  5.8359120E-08  9.1358846E-06  6.5939011E-05  6.6983252E-05  1.1403469E-05  3.5616337E-04  2.0666990E-03  6.8821926E-05  5.8359120E-08  2.7641676E-08  6.7696129E-09  2.5093747E-03
  7.4007414E-09  2.7210720E-08  5.6915238E-08  8.8415775E-06  6.4071808E-05  6.5130095E-05  1.0806230E-05  3.4004904E-04  1.9741266E-03  6.6074497E-05  5.6915238E-08  2.7210720E-08  7.4007414E-09  2.5083264E-03
  7.9708662E-09  2.6805080E-08  5.5535458E-08  8.5625625E-06  6.2279346E-05  6.3350906E-05  1.0252468E-05  3.2495561E-04  1.8873177E-03  6.3485475E-05  5.5535458E-08  2.6805080E-08  7.9708662E-09  2.5072729E-03
  8.2921423E-09  2.5861786E-08  5.3800467E-08  8.2977823E-06  6.0559408E-05  6.1641886E-05  9.7141345E-06  3.1079980E-04  1.8058111E-03  6.1042909E-05  5.3800467E-08  2.5861786E-08  8.2921423E-09  2.5062138E-03
  8.7196858E-09  2.5428152E-08  5.2463718E-08  8.0463247E-06  5.8911670E-05  6.0003415E-05  9.2339944E-06  2.9750760E-04  1.7291916E-03  5.8736041E-05  5.2463718E-08  2.5428152E-08  8.7196858E-09  2.5051493E-03
  9.0947211E-09  2.4726852E-08  5.1553135E-08  7.8072969E-06  5.7327499E-05  5.8430610E-05  8.7867567E-06  2.8501117E-04  1.6570827E-03  5.6554974E-05  5.1553135E-08  2.4726852E-08  9.0947211E-09  2.5040793E-03
  9.4477812E-09  2.4357077E-08  5.0892707E-08  7.5798961E-06  5.5803790E-05  5.6917636E-05  8.3696349E-06  2.7324942E-04  1.5891434E-03  5.4490801E-05  5.0892707E-08  2.4357077E-08  9.4477812E-09  2.5030038E-03
  9.7595078E-09  2.3989162E-08  5.0238733E-08  7.3633838E-06  5.4337612E-05  5.5461595E-05  7.9801279E-06  2.6216691E-04  1.5250642E-03  5.2535309E-05  5.0238733E-08  2.3989162E-08  9.7595078E-09  2.5019224E-03
  1.0038771E-08  2.3627523E-08  4.9587344E-08  7.1570772E-06  5.2932586E-05  5.4059744E-05  7.6160938E-06  2.5178733E-04  1.4645634E-03  5.0681031E-05  4.9587344E-08  2.3627523E-08  1.0038771E-08  2.5008357E-03
  1.0295342E-08  2.3284325E-08  4.8951262E-08  6.9603464E-06  5.1581333E-05  5.2712048E-05  7.2860317E-06  2.4201153E-04  1.4073843E-03  4.8921142E-05  4.8951262E-08  2.3284325E-08  1.0295342E-08  2.4997429E-03
  1.0112319E-08  2.2389804E-08  4.7957040E-08  6.7725878E-06  5.0279019E-05  5.1413495E-05  6.9511470E-06  2.3276776E-04  1.3532905E-03  4.7249265E-05  4.7957040E-08  2.2389804E-08  1.0112319E-08  2.4986444E-03
  1.0291880E-08  2.2040492E-08  4.7130424E-08  6.5933106E-06  4.9023639E-05  5.0161700E-05  6.6599626E-06  2.2402008E-04  1.3020725E-03  4.5659830E-05  4.7130424E-08  2.2040492E-08  1.0291880E-08  2.4975401E-03
  1.0442094E-08  2.1696575E-08  4.6512416E-08  6.4219900E-06  4.7812897E-05  4.8954379E-05  6.3874911E-06  2.1573365E-04  1.2535320E-03  4.4147414E-05  4.6512416E-08  2.1696575E-08  1.0442094E-08  2.4964298E-03
  1.0583082E-08  2.1365723E-08  4.5897891E-08  6.2581687E-06  4.6646199E-05  4.7789492E-05  6.1347667E-06  2.0787724E-04  1.2074891E-03  4.2707191E-05  4.5897891E-08  2.1365723E-08  1.0583082E-08  2.4953133E-03
  1.0715927E-08  2.0953825E-08  4.5302926E-08  6.1014134E-06  4.5520522E-05  4.6666409E-05  5.9039539E-06  2.0042208E-04  1.1637790E-03  4.1334641E-05  4.5302926E-08  2.0953825E-08  1.0715927E-08  2.4941910E-03
  1.0827866E-08  2.0648822E-08  4.4687941E-08  5.9513298E-06  4.4433526E-05  4.5582441E-05  5.6867970E-06  1.9334219E-04  1.1222513E-03  4.0025652E-05  4.4687941E-08  2.0648822E-08  1.0827866E-08  2.4930624E-03
  1.0931615E-08  2.0360558E-08  4.4094761E-08  5.8075399E-06  4.3387045E-05  4.4535273E-05  5.4813429E-06  1.8661265E-04  1.0827631E-03  3.8776301E-05  4.4094761E-08  2.0360558E-08  1.0931615E-08  2.4919278E-03
  1.1021469E-08  2.0082067E-08  4.3502820E-08  5.6697012E-06  4.2384940E-05  4.3524541E-05  5.2858217E-06  1.8021149E-04  1.0451872E-03  3.7583090E-05  4.3502820E-08  2.0082067E-08  1.1021469E-08  2.4907867E-03
  1.0629460E-08  1.9367035E-08  4.2571086E-08  5.5374708E-06  4.1415530E-05  4.2558346E-05  5.0780146E-06  1.7411770E-04  1.0094046E-03  3.6442671E-05  4.2571086E-08  1.9367035E-08  1.0629460E-08  2.4896393E-03
  0.0000000E+00  7.0000000E-10  4.0000000E-09  5.3191800E-05  2.8741680E-04  2.8738090E-04  5.0910850E-04  3.3598253E-03  1.8646955E-02  5.2282070E-04  4.0000000E-09  4.4000000E-09  0.0000000E+00  2.1820309E-03
  0.0000000E+00  7.0000000E-10  6.8980568E-07  4.7278604E-05  2.6029543E-04  2.6037922E-04  3.5767983E-04  2.7992498E-03  1.5708376E-02  4.5076830E-04  6.8980568E-07  4.4000000E-09  0.0000000E+00  2.1791458E-03
  0.0000000E+00  1.0000000E-09  8.7580026E-07  4.2329214E-05  2.3851694E-04  2.3866896E-04  2.6018644E-04  2.3740060E-03  1.3447000E-02  3.9279555E-04  8.7580026E-07  4.3000000E-09  0.0000000E+00  2.1786397E-03
  0.0000000E+00  8.0000000E-10  8.7274074E-07  3.8166131E-05  2.2102734E-04  2.2125661E-04  1.9453018E-04  2.0381825E-03  1.1647788E-02  3.4575615E-04  8.7274074E-07  4.5000000E-09  0.0000000E+00  2.1781317E-03
  0.0000000E+00  8.0000000E-10  8.0238595E-07  3.4632812E-05  2.0550620E-04  2.0580742E-04  1.4905358E-04  1.7686250E-03  1.0193051E-02  3.0708811E-04  8.0238595E-07  4.3000000E-09  0.0000000E+00  2.1776215E-03
  0.0000000E+00  1.3000000E-09  7.1502978E-07  3.1607824E-05  1.9168976E-04  1.9205727E-04  1.1679857E-04  1.5491008E-03  8.9999308E-03  2.7486731E-04  7.1502978E-07  4.9000000E-09  0.0000000E+00  2.1771095E-03
  0.0000000E+00  5.0000000E-10  6.3009210E-07  2.8996844E-05  1.7942595E-04  1.7984735E-04  9.3513389E-05  1.3725158E-03  8.0089137E-03  2.4771619E-04  6.3009210E-07  4.7000000E-09  0.0000000E+00  2.1765958E-03
  0.0000000E+00  5.7996352E-09  5.5197081E-07  2.6743018E-05  1.6858151E-04  1.6905952E-04  7.6421899E-05  1.2264557E-03  7.1826960E-03  2.2477810E-04  5.5197081E-07  5.7996352E-09  0.0000000E+00  2.1760587E-03
  0.0000000E+00  8.7071715E-09  4.7938091E-07  2.4794238E-05  1.5891371E-04  1.5944416E-04  6.3451506E-05  1.1046406E-03  6.4905007E-03  2.0532468E-04  4.7938091E-07  8.7071715E-09  0.0000000E+00  2.1754697E-03
  0.0000000E+00  1.1041179E-08  4.1952465E-07  2.3062556E-05  1.5091096E-04  1.5142291E-04  5.3341985E-05  9.9983919E-04  5.8925743E-03  1.8833170E-04  4.1952465E-07  1.1041179E-08  0.0000000E+00  2.1748782E-03
  0.0000000E+00  1.2819358E-08  3.7134754E-07  2.1516688E-05  1.4370141E-04  1.4426443E-04  4.5382955E-05  9.0905376E-04  5.3726271E-03  1.7340297E-04  3.7134754E-07  1.2819358E-08  0.0000000E+00  2.1742843E-03
  0.0000000E+00  1.4280285E-08  3.3133399E-07  2.0130693E-05  1.3696502E-04  1.3757599E-04  3.9009831E-05  8.2991103E-04  4.9177217E-03  1.6021658E-04  3.3133399E-07  1.4280285E-08  0.0000000E+00  2.1736881E-03
  0.0000000E+00  1.5743847E-08  2.9780385E-07  1.8883053E-05  1.3067043E-04  1.3132603E-04  3.3925576E-05  7.6051761E-04  4.5174837E-03  1.4850302E-04  2.9780385E-07  1.5743847E-08  0.0000000E+00  2.1730896E-03
  0.0000000E+00  1.6590921E-08  2.6990166E-07  1.7755712E-05  1.2478576E-04  1.2548292E-04  2.9748981E-05  6.9934581E-04  4.1635198E-03  1.3804855E-04  2.6990166E-07  1.6590921E-08  0.0000000E+00  2.1724886E-03
  0.0000000E+00  1.7472630E-08  2.4641252E-07  1.6733517E-05  1.1928074E-04  1.2001654E-04  2.6278300E-05  6.4515479E-04  3.8489827E-03  1.2867688E-04  2.4641252E-07  1.7472630E-08  0.0000000E+00  2.1718851E-03
  0.0000000E+00  1.8142921E-08  2.2646672E-07  1.5803611E-05  1.1412650E-04  1.1489822E-04  2.3371912E-05  5.9692780E-04  3.5682420E-03  1.2024202E-04  2.2646672E-07  1.8142921E-08  0.0000000E+00  2.1712793E-03
  0.0000000E+00  1.8304686E-08  2.0942747E-07  1.4955046E-05  1.0929598E-04  1.1010110E-04  2.0892249E-05  5.5382555E-04  3.3166367E-03  1.1262167E-04  2.0942747E-07  1.8304686E-08  0.0000000E+00  2.1706708E-03
  0.0000000E+00  1.8643025E-08  1.9464666E-07  1.4178495E-05  1.0476452E-04  1.0560052E-04  1.8784524E-05  5.1529608E-04  3.0902808E-03  1.0571300E-04  1.9464666E-07  1.8643025E-08  0.0000000E+00  2.1700599E-03
  0.0000000E+00  1.8897708E-08  1.8161821E-07  1.3465909E-05  1.0051669E-04  1.0137873E-04  1.6971778E-05  4.8089137E-04  2.8859142E-03  9.9429029E-05  1.8161821E-07  1.8897708E-08  0.0000000E+00  2.1694466E-03
  0.0000000E+00  1.8682763E-08  1.7017818E-07  1.2810346E-05  9.6525597E-05  9.7414555E-05  1.5415532E-05  4.4977215E-04  2.7007854E-03  9.3695899E-05  1.7017818E-07  1.8682763E-08  0.0000000E+00  2.1688305E-03
  0.0000000E+00  1.8739677E-08  1.6017247E-07  1.2205812E-05  9.2791730E-05  9.3699504E-05  1.4138084E-05  4.2153478E-04  2.5325610E-03  8.8455080E-05  1.6017247E-07  1.8739677E-08  0.0000000E+00  2.1682121E-03
  0.0000000E+00  1.8744233E-08  1.5129417E-07  1.1647059E-05  8.9272508E-05  9.0203853E-05  1.3018896E-05  3.9583532E-04  2.3792495E-03  8.3662159E-05  1.5129417E-07  1.8744233E-08  0.0000000E+00  2.1675910E-03
  0.0000000E+00  1.8323346E-08  1.4351716E-07  1.1129515E-05  8.5950614E-05  8.6903861E-05  1.2024776E-05  3.7237941E-04  2.2391446E-03  7.9252302E-05  1.4351716E-07  1.8323346E-08  0.0000000E+00  2.1669672E-03
  0.0000000E+00  1.8195531E-08  1.3635520E-07  1.0649167E-05  8.2811816E-05  8.3785409E-05  1.1138755E-05  3.5091441E-04  2.1107769E-03  7.5185341E-05  1.3635520E-07  1.8195531E-08  0.0000000E+00  2.1663408E-03
  0.0000000E+00  1.7790284E-08  1.2997792E-07  1.0202471E-05  7.9842974E-05  8.0835456E-05  1.0340037E-05  3.3122181E-04  1.9928757E-03  7.1426283E-05  1.2997792E-07  1.7790284E-08  0.0000000E+00  2.1657118E-03
  0.0000000E+00  1.7665186E-08  1.2402607E-07  9.7863350E-06  7.7032302E-05  7.8042358E-05  9.6403292E-06  3.1311279E-04  1.8843379E-03  6.7944394E-05  1.2402607E-07  1.7665186E-08  0.0000000E+00  2.1650802E-03
  3.2000000E-09  1.7542739E-08  1.1879739E-07  9.3979890E-06  7.4368763E-05  7.5395138E-05  9.0362552E-06  2.9642263E-04  1.7842017E-03  6.4712828E-05  1.1879739E-07  1.7542739E-08  3.2000000E-09  2.1644460E-03
  3.4108202E-09  1.7391192E-08  1.1381716E-07  9.0360478E-06  7.1839993E-05  7.2902813E-05  8.4949291E-06  2.8108813E-04  1.6918346E-03  6.1747859E-05  1.1381716E-07  1.7391192E-08  3.4108202E-09  2.1637005E-03
  3.9180562E-09  1.6805529E-08  1.0913851E-07  8.6983100E-06  6.9498288E-05  7.0571049E-05  7.9791653E-06  2.6694407E-04  1.6066277E-03  5.8968503E-05  1.0913851E-07  1.6805529E-08  3.9180562E-09  2.1627528E-03
  4.3775772E-09  1.6585665E-08  1.0489385E-07  8.3807783E-06  6.7264400E-05  6.8350081E-05  7.5190361E-06  2.5380888E-04  1.5273323E-03  5.6367737E-05  1.0489385E-07  1.6585665E-08  4.3775772E-09  2.1618005E-03
  4.8059183E-09  1.6381386E-08  1.0058470E-07  8.0818724E-06  6.5131953E-05  6.6229666E-05  7.0952678E-06  2.4157395E-04  1.4534258E-03  5.3930712E-05  1.0058470E-07  1.6381386E-08  4.8059183E-09  2.1608434E-03
  5.1804985E-09  1.5974097E-08  9.6820194E-08  7.8001719E-06  6.3095127E-05  6.4204003E-05  6.7043383E-06  2.3016050E-04  1.3844411E-03  5.1644044E-05  9.6820194E-08  1.5974097E-08  5.1804985E-09  2.1598816E-03
  5.5242206E-09  1.5683898E-08  9.3318056E-08  7.5343884E-06  6.1148456E-05  6.2267699E-05  6.3431310E-06  2.1949806E-04  1.3199603E-03  4.9495760E-05  9.3318056E-08  1.5683898E-08  5.5242206E-09  2.1589151E-03
  5.8451517E-09  1.5506875E-08  9.0215698E-08  7.2833550E-06  5.9286876E-05  6.0415727E-05  6.0088841E-06  2.0952356E-04  1.2596084E-03  4.7474955E-05  9.0215698E-08  1.5506875E-08  5.8451517E-09  2.1579437E-03
  5.9262403E-09  1.4934199E-08  8.7177780E-08  7.0459936E-06  5.7505508E-05  5.8643265E-05  5.6817850E-06  2.0018002E-04  1.2030479E-03  4.5571880E-05  8.7177780E-08  1.4934199E-08  5.9262403E-09  2.1569674E-03
  6.1577741E-09  1.4741979E-08  8.4419749E-08  6.8213562E-06  5.5800117E-05  5.6946104E-05  5.3928761E-06  1.9141683E-04  1.1499755E-03  4.3777584E-05  8.4419749E-08  1.4741979E-08  6.1577741E-09  2.1559861E-03
  6.3710063E-09  1.4548902E-08  8.1702713E-08  6.6085479E-06  5.4166446E-05  5.5320054E-05  5.1242618E-06  1.8318775E-04  1.1001167E-03  4.2084024E-05  8.1702713E-08  1.4548902E-08  6.3710063E-09  2.1550000E-03
  6.5645568E-09  1.4273535E-08  7.9230245E-08  6.4067574E-06  5.2600622E-05  5.3761268E-05  4.8741952E-06  1.7545116E-04  1.0532231E-03  4.0483870E-05  7.9230245E-08  1.4273535E-08  6.5645568E-09  2.1540086E-03
  6.7371672E-09  1.4101745E-08  7.6885675E-08  6.2152420E-06  5.1099010E-05  5.2266140E-05  4.6411093E-06  1.6817119E-04  1.0090698E-03  3.8970441E-05  7.6885675E-08  1.4101745E-08  6.7371672E-09  2.1530122E-03
  6.8995051E-09  1.3935149E-08  7.4653337E-08  6.0333217E-06  4.9658680E-05  5.0831312E-05  4.4299444E-06  1.6132976E-04  9.6745265E-04  3.7537651E-05  7.4653337E-08  1.3935149E-08  6.8995051E-09  2.1520107E-03
  7.0528033E-09  1.3488609E-08  7.2527898E-08  5.8603705E-06  4.8279463E-05  4.9453632E-05  4.2324141E-06  1.5487601E-04  9.2818569E-04  3.6179911E-05  7.2527898E-08  1.3488609E-08  7.0528033E-09  2.1510040E-03
  6.8879827E-09  1.2932998E-08  7.0365443E-08  5.6958010E-06  4.6954539E-05  4.8130040E-05  4.0308848E-06  1.4878163E-04  8.9109945E-04  3.4892151E-05  7.0365443E-08  1.2932998E-08  6.8879827E-09  2.1499921E-03
  6.9896030E-09  1.2777980E-08  6.8422349E-08  5.5391078E-06  4.5681299E-05  4.6857964E-05  3.8618709E-06  1.4302137E-04  8.5631541E-04  3.3669659E-05  6.8422349E-08  1.2777980E-08  6.9896030E-09  2.1489748E-03
  7.0788072E-09  1.2624054E-08  6.6555607E-08  5.3897882E-06  4.4457051E-05  4.5634708E-05  3.7028592E-06  1.3757162E-04  8.2345431E-04  3.2508152E-05  6.6555607E-08  1.2624054E-08  7.0788072E-09  2.1479520E-03
  7.1603384E-09  1.2477465E-08  6.4776855E-08  5.2473916E-06  4.3279339E-05  4.4457839E-05  3.5557662E-06  1.3241095E-04  7.9232262E-04  3.1403692E-05  6.4776855E-08  1.2477465E-08  7.1603384E-09  2.1469239E-03
  7.2369612E-09  1.2240050E-08  6.3065068E-08  5.1115006E-06  4.2145877E-05  4.3325048E-05  3.4192319E-06  1.2751976E-04  7.6280396E-04  3.0352649E-05  6.3065068E-08  1.2240050E-08  7.2369612E-09  2.1458903E-03
  7.1075481E-09  1.2110583E-08  6.1424995E-08  4.9817278E-06  4.1054499E-05  4.2234190E-05  3.2913548E-06  1.2288000E-04  7.3479152E-04  2.9351656E-05  6.1424995E-08  1.2110583E-08  7.1075481E-09  2.1448512E-03
  7.1715883E-09  1.1984077E-08  5.9848450E-08  4.8577146E-06  4.0003156E-05  4.1183246E-05  3.1711395E-06  1.1847515E-04  7.0818699E-04  2.8397637E-05  5.9848450E-08  1.1984077E-08  7.1715883E-09  2.1438063E-03
  7.2385095E-09  1.1869821E-08  5.8335089E-08  4.7391294E-06  3.8989960E-05  4.0170295E-05  3.0567401E-06  1.1428997E-04  6.8289996E-04  2.7487726E-05  5.8335089E-08  1.1869821E-08  7.2385095E-09  2.1427558E-03
  7.2994365E-09  1.1757205E-08  5.6880830E-08  4.6256624E-06  3.8013083E-05  3.9193557E-05  2.9478644E-06  1.1031042E-04  6.5884700E-04  2.6619275E-05  5.6880830E-08  1.1757205E-08  7.2994365E-09  2.1416996E-03
  0.0000000E+00  1.1000000E-09  4.0000000E-09  5.0680800E-05  2.9542930E-04  2.9542390E-04  3.3355310E-04  2.2768000E-03  1.3408263E-02  4.2181130E-04  4.0000000E-09  3.5000000E-09  0.0000000E+00  1.8697743E-03
  0.0000000E+00  1.1000000E-09  6.5977788E-07  4.4420908E-05  2.6347867E-04  2.6357188E-04  2.3128981E-04  1.8716815E-03  1.1214342E-02  3.6086180E-04  6.5977788E-07  3.5000000E-09  0.0000000E+00  1.8670386E-03
  0.0000000E+00  1.3000000E-09  8.5631288E-07  3.9231454E-05  2.4443770E-04  2.4461235E-04  1.6539551E-04  1.5719256E-03  9.5328358E-03  3.1249959E-04  8.5631288E-07  5.4000000E-09  0.0000000E+00  1.8665631E-03
  0.0000000E+00  1.3000000E-09  8.7046985E-07  3.4951837E-05  2.2714396E-04  2.2739939E-04  1.2194583E-04  1.3449737E-03  8.2037190E-03  2.7354498E-04  8.7046985E-07  4.6000000E-09  0.0000000E+00  1.8660859E-03
  0.0000000E+00  1.0000000E-09  8.1682528E-07  3.1381341E-05  2.1152036E-04  2.1185315E-04  9.2291936E-05  1.1652928E-03  7.1356692E-03  2.4165914E-04  8.1682528E-07  5.2000000E-09  0.0000000E+00  1.8656068E-03
  0.0000000E+00  1.2000000E-09  7.4262238E-07  2.8370293E-05  1.9742663E-04  1.9783207E-04  7.1622984E-05  1.0204031E-03  6.2647590E-03  2.1522530E-04  7.4262238E-07  5.5000000E-09  0.0000000E+00  1.8651258E-03
  0.0000000E+00  1.2000000E-09  6.6704235E-07  2.5805997E-05  1.8475403E-04  1.8522370E-04  5.6847846E-05  9.0113403E-04  5.5453179E-03  1.9305754E-04  6.6704235E-07  4.4000000E-09  0.0000000E+00  1.8646434E-03
  0.0000000E+00  4.9652870E-09  5.9536992E-07  2.3619086E-05  1.7340106E-04  1.7393333E-04  4.6121499E-05  8.0253875E-04  4.9486071E-03  1.7441506E-04  5.9536992E-07  4.9652870E-09  0.0000000E+00  1.8641409E-03
  0.0000000E+00  6.1851999E-09  5.2823715E-07  2.1748735E-05  1.6323433E-04  1.6382445E-04  3.8058114E-05  7.2059336E-04  4.4511192E-03  1.5867261E-04  5.2823715E-07  6.1851999E-09  0.0000000E+00  1.8635937E-03
  0.0000000E+00  7.2481942E-09  4.7077935E-07  2.0102866E-05  1.5394504E-04  1.5458455E-04  3.1785501E-05  6.5031896E-04  4.0233313E-03  1.4497621E-04  4.7077935E-07  7.2481942E-09  0.0000000E+00  1.8630444E-03
  0.0000000E+00  8.3064113E-09  4.2190934E-07  1.8646758E-05  1.4549227E-04  1.4616509E-04  2.6868782E-05  5.8973889E-04  3.6529482E-03  1.3298539E-04  4.2190934E-07  8.3064113E-09  0.0000000E+00  1.8624928E-03
  0.0000000E+00  8.9970646E-09  3.8042247E-07  1.7352131E-05  1.3784994E-04  1.3856900E-04  2.2971328E-05  5.3717338E-04  3.3302447E-03  1.2242786E-04  3.8042247E-07  8.9970646E-09  0.0000000E+00  1.8619392E-03
  0.0000000E+00  9.7491177E-09  3.4468113E-07  1.6195799E-05  1.3078165E-04  1.3154307E-04  1.9885849E-05  4.9119442E-04  3.0474549E-03  1.1308312E-04  3.4468113E-07  9.7491177E-09  0.0000000E+00  1.8613834E-03
  0.0000000E+00  1.0136140E-08  3.1411076E-07  1.5158583E-05  1.2423510E-04  1.2503522E-04  1.7358006E-05  4.5075627E-04  2.7983184E-03  1.0477174E-04  3.1411076E-07  1.0136140E-08  0.0000000E+00  1.8608254E-03
  0.0000000E+00  1.0615363E-08  2.8768554E-07  1.4224540E-05  1.1816290E-04  1.1899845E-04  1.5268882E-05  4.1501155E-04  2.5777489E-03  9.7346042E-05  2.8768554E-07  1.0615363E-08  0.0000000E+00  1.8602653E-03
  0.0000000E+00  1.1018848E-08  2.6473059E-07  1.3380311E-05  1.1252217E-04  1.1339009E-04  1.3521158E-05  3.8338755E-04  2.3815785E-03  9.0683993E-05  2.6473059E-07  1.1018848E-08  0.0000000E+00  1.8597028E-03
  0.0000000E+00  1.1052028E-08  2.4464946E-07  1.2614635E-05  1.0727420E-04  1.0817166E-04  1.2041178E-05  3.5524657E-04  2.2063688E-03  8.4683954E-05  2.4464946E-07  1.1052028E-08  0.0000000E+00  1.8591382E-03
  0.0000000E+00  1.0879025E-08  2.2701923E-07  1.1917986E-05  1.0238435E-04  1.0330878E-04  1.0790811E-05  3.3002973E-04  2.0492631E-03  7.9260505E-05  2.2701923E-07  1.0879025E-08  0.0000000E+00  1.8585713E-03
  0.0000000E+00  1.1071911E-08  2.1141995E-07  1.1282233E-05  9.7821332E-05  9.8770357E-05  9.7197852E-06  3.0734855E-04  1.9078724E-03  7.4341781E-05  2.1141995E-07  1.1071911E-08  0.0000000E+00  1.8580022E-03
  0.0000000E+00  1.0931816E-08  1.9766008E-07  1.0700416E-05  9.3556965E-05  9.4528413E-05  8.8266345E-06  2.8687655E-04  1.7801873E-03  6.9866771E-05  1.9766008E-07  1.0931816E-08  0.0000000E+00  1.8574306E-03
  0.0000000E+00  1.1006897E-08  1.8518812E-07  1.0166559E-05  8.9566099E-05  9.0557990E-05  8.0744244E-06  2.6833828E-04  1.6645083E-03  6.5783366E-05  1.8518812E-07  1.1006897E-08  0.0000000E+00  1.8568568E-03
  0.0000000E+00  1.1059879E-08  1.7388776E-07  9.6754819E-06  8.5825897E-05  8.6836433E-05  7.4166492E-06  2.5152023E-04  1.5593897E-03  6.2046988E-05  1.7388776E-07  1.1059879E-08  0.0000000E+00  1.8562807E-03
  0.0000000E+00  1.1099816E-08  1.6387040E-07  9.2226986E-06  8.2315937E-05  8.3343399E-05  6.8341650E-06  2.3622770E-04  1.4635967E-03  5.8619218E-05  1.6387040E-07  1.1099816E-08  0.0000000E+00  1.8557022E-03
  0.0000000E+00  1.0825599E-08  1.5484812E-07  8.7896676E-06  7.9017583E-05  8.0060464E-05  6.3079984E-06  2.2225627E-04  1.3769153E-03  5.5466896E-05  1.5484812E-07  1.0825599E-08  0.0000000E+00  1.8551214E-03
  0.0000000E+00  1.0803171E-08  1.4659464E-07  8.4175085E-06  7.5914274E-05  7.6971177E-05  5.8492679E-06  2.0945924E-04  1.2976172E-03  5.2561082E-05  1.4659464E-07  1.0803171E-08  0.0000000E+00  1.8545380E-03
  0.0000000E+00  1.0665831E-08  1.3905762E-07  8.0711538E-06  7.2990845E-05  7.4060472E-05  5.4667499E-06  1.9770955E-04  1.2247639E-03  4.9876674E-05  1.3905762E-07  1.0665831E-08  0.0000000E+00  1.8539524E-03
  3.2000000E-09  1.0427889E-08  1.3193907E-07  7.7482532E-06  7.0233586E-05  7.1314736E-05  5.1208219E-06  1.8689684E-04  1.1576812E-03  4.7391654E-05  1.3193907E-07  1.0427889E-08  3.2000000E-09  1.8533643E-03
  3.3118080E-09  1.0283103E-08  1.2517588E-07  7.4477780E-06  6.7620789E-05  6.8738133E-05  4.8060798E-06  1.7697950E-04  1.0959176E-03  4.5115879E-05  1.2517588E-07  1.0283103E-08  3.3118080E-09  1.8526810E-03
  3.5668519E-09  1.0017356E-08  1.1929054E-07  7.1675300E-06  6.5176465E-05  6.6302301E-05  4.5048051E-06  1.6782496E-04  1.0390502E-03  4.2989032E-05  1.1929054E-07  1.0017356E-08  3.5668519E-09  1.8518243E-03
  3.8173504E-09  9.4488336E-09  1.1382632E-07  6.9043215E-06  6.2857302E-05  6.3990739E-05  4.2383591E-06  1.5932573E-04  9.8622190E-04  4.1003506E-05  1.1382632E-07  9.4488336E-09  3.8173504E-09  1.8509635E-03
  4.0322769E-09  9.3725796E-09  1.0866009E-07  6.6567958E-06  6.0654956E-05  6.1795175E-05  3.9934346E-06  1.5145190E-04  9.3706867E-04  3.9147228E-05  1.0866009E-07  9.3725796E-09  4.0322769E-09  1.8500984E-03
  4.2350268E-09  9.3060351E-09  1.0394467E-07  6.4237498E-06  5.8561860E-05  5.9708092E-05  3.7679182E-06  1.4411580E-04  8.9126581E-04  3.7409393E-05  1.0394467E-07  9.3060351E-09  4.2350268E-09  1.8492292E-03
  4.4223448E-09  9.2413609E-09  9.9547705E-08  6.2040884E-06  5.6571001E-05  5.7722547E-05  3.5599442E-06  1.3727072E-04  8.4852346E-04  3.5780261E-05  9.9547705E-08  9.2413609E-09  4.4223448E-09  1.8483558E-03
  4.5962841E-09  9.0844638E-09  9.5432886E-08  5.9968193E-06  5.4675932E-05  5.5832130E-05  3.3678604E-06  1.3087483E-04  8.0858189E-04  3.4251091E-05  9.5432886E-08  9.0844638E-09  4.5962841E-09  1.8474780E-03
  4.6066494E-09  8.8223322E-09  9.1607773E-08  5.8010210E-06  5.2870616E-05  5.4030867E-05  3.1778170E-06  1.2489053E-04  7.7120790E-04  3.2814033E-05  9.1607773E-08  8.8223322E-09  4.6066494E-09  1.8465958E-03
  4.7297544E-09  8.6471943E-09  8.7995893E-08  5.6159054E-06  5.1149669E-05  5.2313402E-05  3.0122187E-06  1.1928432E-04  7.3619206E-04  3.1461858E-05  8.7995893E-08  8.6471943E-09  4.7297544E-09  1.8457092E-03
  4.8452464E-09  8.5807158E-09  8.4601266E-08  5.4407052E-06  4.9507923E-05  5.0674639E-05  2.8585270E-06  1.1402570E-04  7.0334534E-04  3.0188164E-05  8.4601266E-08  8.5807158E-09  4.8452464E-09  1.8448182E-03
  4.9533988E-09  8.5156494E-09  8.1310144E-08  5.2747359E-06  4.7940664E-05  4.9109866E-05  2.7157028E-06  1.0908723E-04  6.7249695E-04  2.8987072E-05  8.1310144E-08  8.5156494E-09  4.9533988E-09  1.8439227E-03
  5.0487117E-09  8.4524400E-09  7.8297616E-08  5.1173658E-06  4.6443151E-05  4.7614742E-05  2.5865404E-06  1.0444412E-04  6.4349256E-04  2.7853256E-05  7.8297616E-08  8.4524400E-09  5.0487117E-09  1.8430227E-03
  5.1412356E-09  8.3954795E-09  7.5361037E-08  4.9680216E-06  4.5014580E-05  4.6185248E-05  2.4682374E-06  1.0007388E-04  6.1619206E-04  2.6782338E-05  7.5361037E-08  8.3954795E-09  5.1412356E-09  1.8421181E-03
  5.2311014E-09  8.3435608E-09  7.2682910E-08  4.8261735E-06  4.3649180E-05  4.4820044E-05  2.3583230E-06  9.5956101E-05  5.9046832E-04  2.5773347E-05  7.2682910E-08  8.3435608E-09  5.2311014E-09  1.8412087E-03
  4.9958329E-09  7.9865068E-09  7.0149864E-08  4.6913110E-06  4.2343660E-05  4.3512877E-05  2.2434052E-06  9.2071926E-05  5.6620449E-04  2.4818630E-05  7.0149864E-08  7.9865068E-09  4.9958329E-09  1.8402948E-03
  5.0520158E-09  7.9169658E-09  6.7744188E-08  4.5630332E-06  4.1093306E-05  4.2260729E-05  2.1464235E-06  8.8404968E-05  5.4329746E-04  2.3913697E-05  6.7744188E-08  7.9169658E-09  5.0520158E-09  1.8393762E-03
  4.9092975E-09  7.8564845E-09  6.5468190E-08  4.4409039E-06  3.9894999E-05  4.1060491E-05  2.0551549E-06  8.4939562E-05  5.2164977E-04  2.3055219E-05  6.5468190E-08  7.8564845E-09  4.9092975E-09  1.8384527E-03
  4.9646646E-09  7.7981934E-09  6.3297811E-08  4.3245415E-06  3.8745912E-05  3.9909346E-05  1.9738888E-06  8.1661548E-05  5.0117357E-04  2.2240119E-05  6.3297811E-08  7.7981934E-09  4.9646646E-09  1.8375244E-03
  5.0112265E-09  7.7418433E-09  6.1138458E-08  4.2135953E-06  3.7643419E-05  3.8804686E-05  1.8972596E-06  7.8558064E-05  4.8178823E-04  2.1465568E-05  6.1138458E-08  7.7418433E-09  5.0112265E-09  1.8365912E-03
  5.0588021E-09  7.6914798E-09  5.9180111E-08  4.1077418E-06  3.6585088E-05  3.7744078E-05  1.8245563E-06  7.5617400E-05  4.6342077E-04  2.0729001E-05  5.9180111E-08  7.6914798E-09  5.0588021E-09  1.8356530E-03
  5.1018879E-09  7.6408494E-09  5.7311509E-08  4.0066723E-06  3.5568572E-05  3.6725182E-05  1.7555735E-06  7.2828388E-05  4.4600170E-04  2.0027961E-05  5.7311509E-08  7.6408494E-09  5.1018879E-09  1.8347099E-03
  5.1463453E-09  7.5963378E-09  5.5535586E-08  3.9101108E-06  3.4591742E-05  3.5745883E-05  1.6913322E-06  7.0181214E-05  4.2946955E-04  1.9360267E-05  5.5535586E-08  7.5963378E-09  5.1463453E-09  1.8337617E-03
  4.9368717E-09  7.2565712E-09  5.3843788E-08  3.8177793E-06  3.3652487E-05  3.4804082E-05  1.6225008E-06  6.7666594E-05  4.1376685E-04  1.8723928E-05  5.3843788E-08  7.2565712E-09  4.9368717E-09  1.8328083E-03
  0.0000000E+00  8.0000000E-10  4.0000000E-09  4.5420200E-05  3.0983050E-04  3.0983000E-04  2.0861290E-04  1.4542095E-03  9.2149434E-03  3.3233930E-04  4.0000000E-09  1.8000000E-09  0.0000000E+00  1.5829876E-03
  0.0000000E+00  8.0000000E-10  5.2740651E-07  3.9273286E-05  2.8248439E-04  2.8259599E-04  1.4131388E-04  1.2018020E-03  7.6351031E-03  2.8181441E-04  5.2740651E-07  1.8000000E-09  0.0000000E+00  1.5814693E-03
  0.0000000E+00  9.0000000E-10  6.8788164E-07  3.4290179E-05  2.5826976E-04  2.5848399E-04  9.9302674E-05  1.0123519E-03  6.4405274E-03  2.4215617E-04  6.8788164E-07  4.0000000E-09  0.0000000E+00  1.5810369E-03
  0.0000000E+00  1.0000000E-09  7.0354657E-07  3.0238788E-05  2.3710349E-04  2.3741379E-04  7.2227835E-05  8.6448741E-04  5.5030165E-03  2.1039938E-04  7.0354657E-07  3.8000000E-09  0.0000000E+00  1.5806029E-03
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  0.0000000E+00  7.0000000E-10  6.0760779E-07  2.4119955E-05  2.0196406E-04  2.0244116E-04  4.1514528E-05  6.5211718E-04  4.1483491E-03  1.6335581E-04  6.0760779E-07  3.5000000E-09  0.0000000E+00  1.5797301E-03
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  0.0000000E+00  3.4282240E-09  4.9221162E-07  1.9933988E-05  1.7438884E-04  1.7500130E-04  2.6268021E-05  5.1028645E-04  3.2397961E-03  1.3086204E-04  4.9221162E-07  3.4282240E-09  0.0000000E+00  1.5788358E-03
  0.0000000E+00  4.5076602E-09  4.3943885E-07  1.8313171E-05  1.6295623E-04  1.6362673E-04  2.1516617E-05  4.5712640E-04  2.8992547E-03  1.1843997E-04  4.3943885E-07  4.5076602E-09  0.0000000E+00  1.5783421E-03
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  0.0000000E+00  5.2908005E-09  3.5404073E-07  1.5634556E-05  1.4320294E-04  1.4397165E-04  1.5022962E-05  3.7242086E-04  2.3568000E-03  9.8323748E-05  3.5404073E-07  5.2908005E-09  0.0000000E+00  1.5773493E-03
  0.0000000E+00  5.9783906E-09  3.1992214E-07  1.4520702E-05  1.3464244E-04  1.3545259E-04  1.2776730E-05  3.3840308E-04  2.1415670E-03  9.0117214E-05  3.1992214E-07  5.9783906E-09  0.0000000E+00  1.5768501E-03
  0.0000000E+00  6.3591878E-09  2.9000505E-07  1.3528183E-05  1.2682640E-04  1.2767351E-04  1.1012289E-05  3.0871354E-04  1.9540546E-03  8.2886477E-05  2.9000505E-07  6.3591878E-09  0.0000000E+00  1.5763488E-03
  0.0000000E+00  6.5181451E-09  2.6437772E-07  1.2639966E-05  1.1967152E-04  1.2055157E-04  9.5692843E-06  2.8265763E-04  1.7893762E-03  7.6515405E-05  2.6437772E-07  6.5181451E-09  0.0000000E+00  1.5758458E-03
  0.0000000E+00  6.7840921E-09  2.4194655E-07  1.1841938E-05  1.1310571E-04  1.1401512E-04  8.3835749E-06  2.5967357E-04  1.6440174E-03  7.0848570E-05  2.4194655E-07  6.7840921E-09  0.0000000E+00  1.5753407E-03
  0.0000000E+00  6.7130044E-09  2.2225988E-07  1.1122265E-05  1.0706616E-04  1.0800168E-04  7.3964280E-06  2.3930285E-04  1.5151085E-03  6.5782222E-05  2.2225988E-07  6.7130044E-09  0.0000000E+00  1.5748337E-03
  0.0000000E+00  6.7068883E-09  2.0501037E-07  1.0470988E-05  1.0149781E-04  1.0245676E-04  6.5604317E-06  2.2116883E-04  1.4002888E-03  6.1234554E-05  2.0501037E-07  6.7068883E-09  0.0000000E+00  1.5743247E-03
  0.0000000E+00  6.7475642E-09  1.8960483E-07  9.8797198E-06  9.6364577E-05  9.7341889E-05  5.8577345E-06  2.0495972E-04  1.2976034E-03  5.7137184E-05  1.8960483E-07  6.7475642E-09  0.0000000E+00  1.5738137E-03
  0.0000000E+00  6.8743787E-09  1.7598868E-07  9.3412816E-06  9.1611020E-05  9.2606751E-05  5.2810818E-06  1.9042014E-04  1.2054221E-03  5.3432739E-05  1.7598868E-07  6.8743787E-09  0.0000000E+00  1.5733007E-03
  0.0000000E+00  6.7734475E-09  1.6389507E-07  8.8495421E-06  8.7206474E-05  8.8217032E-05  4.7826837E-06  1.7738392E-04  1.1223776E-03  5.0072662E-05  1.6389507E-07  6.7734475E-09  0.0000000E+00  1.5727857E-03
  0.0000000E+00  6.8498088E-09  1.5301064E-07  8.3992679E-06  8.3112526E-05  8.4137613E-05  4.3668952E-06  1.6560180E-04  1.0473166E-03  4.7015572E-05  1.5301064E-07  6.8498088E-09  0.0000000E+00  1.5722687E-03
  0.0000000E+00  6.7051325E-09  1.4320451E-07  7.9859052E-06  7.9299608E-05  8.0337462E-05  4.0033871E-06  1.5491976E-04  9.7926079E-04  4.4226177E-05  1.4320451E-07  6.7051325E-09  0.0000000E+00  1.5717496E-03
  0.0000000E+00  6.5531309E-09  1.3434304E-07  7.6055246E-06  7.5742425E-05  7.6791498E-05  3.6826593E-06  1.4520668E-04  9.1737611E-04  4.1674222E-05  1.3434304E-07  6.5531309E-09  0.0000000E+00  1.5712283E-03
  0.0000000E+00  6.5028690E-09  1.2620753E-07  7.2547046E-06  7.2418495E-05  7.3477363E-05  3.4083173E-06  1.3635312E-04  8.6094839E-04  3.9333536E-05  1.2620753E-07  6.5028690E-09  0.0000000E+00  1.5707050E-03
  0.0000000E+00  6.4137401E-09  1.1897056E-07  6.9304431E-06  6.9307655E-05  7.0375049E-05  3.1629883E-06  1.2826741E-04  8.0936290E-04  3.7181554E-05  1.1897056E-07  6.4137401E-09  0.0000000E+00  1.5701796E-03
  0.0000000E+00  6.4287311E-09  1.1230646E-07  6.6301459E-06  6.6392074E-05  6.7466837E-05  2.9488335E-06  1.2085670E-04  7.6208873E-04  3.5198492E-05  1.1230646E-07  6.4287311E-09  0.0000000E+00  1.5696521E-03
  3.2000000E-09  6.3396684E-09  1.0620845E-07  6.3514979E-06  6.3655595E-05  6.4736672E-05  2.7567849E-06  1.1404880E-04  7.1866517E-04  3.3367212E-05  1.0620845E-07  6.3396684E-09  3.2000000E-09  1.5691223E-03
  3.2567025E-09  6.3413584E-09  1.0059301E-07  6.0933495E-06  6.1078962E-05  6.2184201E-05  2.5817581E-06  1.0781670E-04  6.7877783E-04  3.1693133E-05  1.0059301E-07  6.3413584E-09  3.2567025E-09  1.5685120E-03
  3.3815381E-09  6.2206348E-09  9.5471765E-08  5.8536673E-06  5.8674870E-05  5.9783964E-05  2.4134615E-06  1.0207226E-04  6.4214011E-04  3.0133136E-05  9.5471765E-08  6.2206348E-09  3.3815381E-09  1.5677547E-03
  3.4998749E-09  6.1989499E-09  9.0690150E-08  5.6294925E-06  5.6403611E-05  5.7515779E-05  2.2661306E-06  9.6754500E-05  6.0818069E-04  2.8680040E-05  9.0690150E-08  6.1989499E-09  3.4998749E-09  1.5669938E-03
  3.6117392E-09  6.0768047E-09  8.6266887E-08  5.4195301E-06  5.4256248E-05  5.5370419E-05  2.1310591E-06  9.1822388E-05  5.7665282E-04  2.7324513E-05  8.6266887E-08  6.0768047E-09  3.6117392E-09  1.5662293E-03
  3.7165826E-09  6.0570796E-09  8.2155149E-08  5.2226261E-06  5.2223604E-05  5.3339502E-05  2.0070164E-06  8.7237744E-05  5.4733686E-04  2.6058184E-05  8.2155149E-08  6.0570796E-09  3.7165826E-09  1.5654610E-03
  3.8133569E-09  6.0391477E-09  7.8338828E-08  5.0377395E-06  5.0297678E-05  5.1414836E-05  1.8929191E-06  8.2969709E-05  5.2003702E-04  2.4873572E-05  7.8338828E-08  6.0391477E-09  3.8133569E-09  1.5646892E-03
  3.8044112E-09  6.0253127E-09  7.4780198E-08  4.8639293E-06  4.8471401E-05  4.9589475E-05  1.7878105E-06  7.8987736E-05  4.9457842E-04  2.3763926E-05  7.4780198E-08  6.0253127E-09  3.8044112E-09  1.5639135E-03
  3.7882531E-09  5.9053749E-09  7.1514299E-08  4.7003338E-06  4.6738176E-05  4.7856362E-05  1.6825501E-06  7.5269226E-05  4.7080422E-04  2.2723229E-05  7.1514299E-08  5.9053749E-09  3.7882531E-09  1.5631339E-03
  3.8546047E-09  5.7798475E-09  6.8415263E-08  4.5462033E-06  4.5091702E-05  4.6209545E-05  1.5922648E-06  7.1791708E-05  4.4857403E-04  2.1745933E-05  6.8415263E-08  5.7798475E-09  3.8546047E-09  1.5623506E-03
  3.9159923E-09  5.7569963E-09  6.5416866E-08  4.4008258E-06  4.3526329E-05  4.4643418E-05  1.5099801E-06  6.8534275E-05  4.2776119E-04  2.0827127E-05  6.5416866E-08  5.7569963E-09  3.9159923E-09  1.5615633E-03
  3.7738019E-09  5.7355188E-09  6.2597436E-08  4.2635643E-06  4.2038353E-05  4.3152857E-05  1.4361636E-06  6.5479273E-05  4.0825162E-04  1.9962343E-05  6.2597436E-08  5.7355188E-09  3.7738019E-09  1.5607722E-03
  3.8285302E-09  5.7164669E-09  5.9649678E-08  4.1338374E-06  4.0624621E-05  4.1736066E-05  1.3672533E-06  6.2610776E-05  3.8994234E-04  1.9147515E-05  5.9649678E-08  5.7164669E-09  3.8285302E-09  1.5599770E-03
  3.8822235E-09  5.5997487E-09  5.6959590E-08  4.0111144E-06  3.9277189E-05  4.0387057E-05  1.3031702E-06  5.9916749E-05  3.7274014E-04  1.8378952E-05  5.6959590E-08  5.5997487E-09  3.8822235E-09  1.5591779E-03
  3.9307493E-09  5.5852730E-09  5.4614400E-08  3.8949112E-06  3.7992038E-05  3.9100035E-05  1.2437982E-06  5.7384086E-05  3.5656050E-04  1.7653302E-05  5.4614400E-08  5.5852730E-09  3.9307493E-09  1.5583747E-03
  3.8323217E-09  5.5682589E-09  5.2617324E-08  3.7847708E-06  3.6766279E-05  3.7871258E-05  1.1802496E-06  5.4998044E-05  3.4132666E-04  1.6967537E-05  5.2617324E-08  5.5682589E-09  3.8323217E-09  1.5575674E-03
  3.8664118E-09  5.4468094E-09  5.0521879E-08  3.6803090E-06  3.5596512E-05  3.6697408E-05  1.1283360E-06  5.2747883E-05  3.2696892E-04  1.6318779E-05  5.0521879E-08  5.4468094E-09  3.8664118E-09  1.5567560E-03
  3.8981215E-09  5.4244437E-09  4.8635702E-08  3.5811394E-06  3.4478535E-05  3.5575249E-05  1.0807805E-06  5.0623776E-05  3.1342364E-04  1.5704508E-05  4.8635702E-08  5.4244437E-09  3.8981215E-09  1.5559404E-03
  3.9286541E-09  5.3059198E-09  4.6853311E-08  3.4869189E-06  3.3409391E-05  3.4501832E-05  1.0366694E-06  4.8616772E-05  3.0063278E-04  1.5122377E-05  4.6853311E-08  5.3059198E-09  3.9286541E-09  1.5551206E-03
  3.8589777E-09  5.2908465E-09  4.5169309E-08  3.3973311E-06  3.2386318E-05  3.3474416E-05  9.9614729E-07  4.6719153E-05  2.8854330E-04  1.4570244E-05  4.5169309E-08  5.2908465E-09  3.8589777E-09  1.5542965E-03
  3.8882526E-09  5.2730344E-09  4.3571845E-08  3.3120826E-06  3.1406752E-05  3.2490438E-05  9.6058087E-07  4.4923101E-05  2.7710665E-04  1.4046230E-05  4.3571845E-08  5.2730344E-09  3.8882526E-09  1.5534681E-03
  3.9165560E-09  5.2612051E-09  4.2055181E-08  3.2309042E-06  3.0468308E-05  3.1547519E-05  9.2653604E-07  4.3221513E-05  2.6627833E-04  1.3548505E-05  4.2055181E-08  5.2612051E-09  3.9165560E-09  1.5526353E-03
  3.8460082E-09  5.2500895E-09  4.0617165E-08  3.1535460E-06  2.9568743E-05  3.0643433E-05  8.9397749E-07  4.1608095E-05  2.5601750E-04  1.3075284E-05  4.0617165E-08  5.2500895E-09  3.8460082E-09  1.5517982E-03
  3.8728814E-09  5.2390941E-09  3.9150884E-08  3.0797784E-06  2.8705982E-05  2.9776106E-05  8.6286438E-07  4.0077052E-05  2.4628661E-04  1.2625022E-05  3.9150884E-08  5.2390941E-09  3.8728814E-09  1.5509565E-03
  0.0000000E+00  1.2000000E-09  4.0000000E-09  3.9293200E-05  3.2060630E-04  3.2060580E-04  1.2298580E-04  9.2940090E-04  5.9933762E-03  2.5059240E-04  4.0000000E-09  4.4000000E-09  0.0000000E+00  1.3175000E-03
  0.0000000E+00  1.7000000E-09  3.5562239E-07  3.3637105E-05  2.8787610E-04  2.8800831E-04  8.2004750E-05  7.6519055E-04  4.9330781E-03  2.1048758E-04  3.5562239E-07  4.4000000E-09  0.0000000E+00  1.3159223E-03
  0.0000000E+00  1.7000000E-09  4.6193057E-07  2.9201793E-05  2.5993601E-04  2.6018611E-04  5.6727192E-05  6.4091239E-04  4.1235195E-03  1.7943066E-04  4.6193057E-07  5.3000000E-09  0.0000000E+00  1.3155435E-03
  0.0000000E+00  1.4000000E-09  4.7160200E-07  2.5618612E-05  2.3590212E-04  2.3625681E-04  4.0535056E-05  5.4443005E-04  3.4955060E-03  1.5476130E-04  4.7160200E-07  5.7000000E-09  0.0000000E+00  1.3151634E-03
  0.0000000E+00  1.2000000E-09  4.4489882E-07  2.2684286E-05  2.1513279E-04  2.1557962E-04  2.9908422E-05  4.6796141E-04  3.0050325E-03  1.3486539E-04  4.4489882E-07  4.5000000E-09  0.0000000E+00  1.3147820E-03
  0.0000000E+00  2.5000000E-09  4.0653793E-07  2.0251445E-05  1.9708454E-04  1.9761310E-04  2.2672556E-05  4.0642234E-04  2.6096757E-03  1.1859604E-04  4.0653793E-07  5.4000000E-09  0.0000000E+00  1.3143992E-03
  0.0000000E+00  1.2000000E-09  3.6686759E-07  1.8211735E-05  1.8126708E-04  1.8186731E-04  1.7633238E-05  3.5627083E-04  2.2865974E-03  1.0512571E-04  3.6686759E-07  5.0000000E-09  0.0000000E+00  1.3140151E-03
  0.0000000E+00  3.7053199E-09  3.2904500E-07  1.6497313E-05  1.6743362E-04  1.6809686E-04  1.4038777E-05  3.1519397E-04  2.0213529E-03  9.3932642E-05  3.2904500E-07  3.7053199E-09  0.0000000E+00  1.3136169E-03
  0.0000000E+00  2.4052154E-09  2.9392720E-07  1.5050754E-05  1.5534583E-04  1.5606517E-04  1.1410406E-05  2.8131170E-04  1.8023211E-03  8.4586714E-05  2.9392720E-07  2.4052154E-09  0.0000000E+00  1.3131871E-03
  0.0000000E+00  2.9477388E-09  2.6335922E-07  1.3793393E-05  1.4453053E-04  1.4529548E-04  9.4215445E-06  2.5242314E-04  1.6156448E-03  7.6539177E-05  2.6335922E-07  2.9477388E-09  0.0000000E+00  1.3127555E-03
  0.0000000E+00  2.9654761E-09  2.3677842E-07  1.2693896E-05  1.3481061E-04  1.3561849E-04  7.8800554E-06  2.2762951E-04  1.4553840E-03  6.9563007E-05  2.3677842E-07  2.9654761E-09  0.0000000E+00  1.3123224E-03
  0.0000000E+00  3.3432629E-09  2.1379063E-07  1.1727066E-05  1.2602185E-04  1.2686711E-04  6.6619162E-06  2.0621736E-04  1.3168804E-03  6.3478296E-05  2.1379063E-07  3.3432629E-09  0.0000000E+00  1.3118877E-03
  0.0000000E+00  3.8715569E-09  1.9376978E-07  1.0872541E-05  1.1805090E-04  1.1892866E-04  5.7118752E-06  1.8758282E-04  1.1964444E-03  5.8141250E-05  1.9376978E-07  3.8715569E-09  0.0000000E+00  1.3114513E-03
  0.0000000E+00  3.9770300E-09  1.7637799E-07  1.0113668E-05  1.1080055E-04  1.1170646E-04  4.9406955E-06  1.7127402E-04  1.0911251E-03  5.3437047E-05  1.7637799E-07  3.9770300E-09  0.0000000E+00  1.3110133E-03
  0.0000000E+00  3.9935208E-09  1.6112985E-07  9.4367793E-06  1.0418744E-04  1.0511768E-04  4.3142085E-06  1.5692629E-04  9.9854282E-04  4.9268573E-05  1.6112985E-07  3.9935208E-09  0.0000000E+00  1.3105736E-03
  0.0000000E+00  4.2072836E-09  1.4744353E-07  8.8305418E-06  9.8139629E-05  9.9090807E-05  3.7950359E-06  1.4424278E-04  9.1676210E-04  4.5558245E-05  1.4744353E-07  4.2072836E-09  0.0000000E+00  1.3101322E-03
  0.0000000E+00  4.2775236E-09  1.3569459E-07  8.2854980E-06  9.2594893E-05  9.3564014E-05  3.3562698E-06  1.3298009E-04  8.4419723E-04  4.2241927E-05  1.3569459E-07  4.2775236E-09  0.0000000E+00  1.3096891E-03
  0.0000000E+00  4.5524898E-09  1.2524629E-07  7.7937368E-06  8.7499336E-05  8.8483752E-05  2.9992829E-06  1.2293732E-04  7.7953976E-04  3.9266190E-05  1.2524629E-07  4.5524898E-09  0.0000000E+00  1.3092443E-03
  0.0000000E+00  4.7314838E-09  1.1597195E-07  7.3485705E-06  8.2805945E-05  8.3803308E-05  2.6981940E-06  1.1395674E-04  7.2170256E-04  3.6586386E-05  1.1597195E-07  4.7314838E-09  0.0000000E+00  1.3087978E-03
  0.0000000E+00  4.6659577E-09  1.0771816E-07  6.9443148E-06  7.8473608E-05  7.9481834E-05  2.4345763E-06  1.0589469E-04  6.6977711E-04  3.4164921E-05  1.0771816E-07  4.6659577E-09  0.0000000E+00  1.3083495E-03
  0.0000000E+00  4.7164717E-09  1.0029882E-07  6.5761505E-06  7.4466441E-05  7.5483684E-05  2.2166398E-06  9.8640170E-05  6.2299961E-04  3.1969869E-05  1.0029882E-07  4.7164717E-09  0.0000000E+00  1.3078995E-03
  0.0000000E+00  4.7530678E-09  9.3620734E-08  6.2399252E-06  7.0752766E-05  7.1777387E-05  2.0274687E-06  9.2077289E-05  5.8072437E-04  2.9974124E-05  9.3620734E-08  4.7530678E-09  0.0000000E+00  1.3074478E-03
  0.0000000E+00  4.7970020E-09  8.7493304E-08  5.9320699E-06  6.7304698E-05  6.8335235E-05  1.8701536E-06  8.6122349E-05  5.4240267E-04  2.8154514E-05  8.7493304E-08  4.7970020E-09  0.0000000E+00  1.3069942E-03
  0.0000000E+00  4.6955124E-09  8.2073618E-08  5.6494947E-06  6.4097515E-05  6.5132671E-05  1.7263249E-06  8.0703710E-05  5.0756601E-04  2.6491118E-05  8.2073618E-08  4.6955124E-09  0.0000000E+00  1.3065389E-03
  0.0000000E+00  4.7120269E-09  7.7120511E-08  5.3895364E-06  6.1109424E-05  6.2148052E-05  1.6012747E-06  7.5760033E-05  4.7581266E-04  2.4966671E-05  7.7120511E-08  4.7120269E-09  0.0000000E+00  1.3060818E-03
  0.0000000E+00  4.6328356E-09  7.2611701E-08  5.1498549E-06  5.8320934E-05  5.9361999E-05  1.4889046E-06  7.1238292E-05  4.4679642E-04  2.3566301E-05  7.2611701E-08  4.6328356E-09  0.0000000E+00  1.3056228E-03
  3.1000000E-09  4.5486580E-09  6.8486534E-08  4.9284092E-06  5.5714692E-05  5.6757280E-05  1.3885815E-06  6.7092637E-05  4.2021784E-04  2.2277030E-05  6.8486534E-08  4.5486580E-09  3.1000000E-09  1.3051619E-03
  3.1278295E-09  4.5642297E-09  6.4711554E-08  4.7240982E-06  5.3274226E-05  5.4330110E-05  1.2975236E-06  6.3302302E-05  3.9586840E-04  2.1101363E-05  6.4711554E-08  4.5642297E-09  3.1278295E-09  1.3046338E-03
  3.2855353E-09  4.5312780E-09  6.1276001E-08  4.5351841E-06  5.1005216E-05  5.2059093E-05  1.2091775E-06  5.9817545E-05  3.7356372E-04  2.0009437E-05  6.1276001E-08  4.5312780E-09  3.2855353E-09  1.3039837E-03
  3.3453187E-09  4.5285113E-09  5.8080204E-08  4.3591764E-06  4.8870518E-05  4.9923464E-05  1.1329961E-06  5.6592924E-05  3.5294251E-04  1.8995138E-05  5.8080204E-08  4.5285113E-09  3.3453187E-09  1.3033303E-03
  3.3989948E-09  4.5271893E-09  5.5122110E-08  4.1949475E-06  4.6859030E-05  4.7910435E-05  1.0633705E-06  5.3603981E-05  3.3384561E-04  1.8051508E-05  5.5122110E-08  4.5271893E-09  3.3989948E-09  1.3026739E-03
  3.1499426E-09  4.3264309E-09  5.2387025E-08  4.0414960E-06  4.4961673E-05  4.6010995E-05  9.9962637E-07  5.0829070E-05  3.1613186E-04  1.7172304E-05  5.2387025E-08  4.3264309E-09  3.1499426E-09  1.3020143E-03
  3.1999462E-09  4.3299937E-09  4.9752415E-08  3.8979227E-06  4.3170180E-05  4.4216936E-05  9.4117206E-07  4.8248917E-05  2.9967578E-04  1.6351949E-05  4.9752415E-08  4.3299937E-09  3.1999462E-09  1.3013516E-03
  3.2480273E-09  4.3337099E-09  4.7396009E-08  3.7634189E-06  4.1477008E-05  4.2520758E-05  8.8854575E-07  4.5846329E-05  2.8436550E-04  1.5585450E-05  4.7396009E-08  4.3337099E-09  3.2480273E-09  1.3006857E-03
  3.3267709E-09  4.3008451E-09  4.5236211E-08  3.6372492E-06  3.9875206E-05  4.0915571E-05  8.3458910E-07  4.3605903E-05  2.7010097E-04  1.4868353E-05  4.5236211E-08  4.3008451E-09  3.3267709E-09  1.3000165E-03
  3.3599341E-09  4.2964936E-09  4.3195668E-08  3.5187692E-06  3.8358566E-05  3.9395198E-05  7.8944150E-07  4.1513912E-05  2.5679278E-04  1.4196562E-05  4.3195668E-08  4.2964936E-09  3.3599341E-09  1.2993441E-03
  3.3916511E-09  4.1938019E-09  4.1289264E-08  3.4073776E-06  3.6921265E-05  3.7953854E-05  7.4874242E-07  3.9557961E-05  2.4436054E-04  1.3566473E-05  4.1289264E-08  4.1938019E-09  3.3916511E-09  1.2986683E-03
  3.3228866E-09  4.1918659E-09  3.9508492E-08  3.3025346E-06  3.5557985E-05  3.6586264E-05  7.1090874E-07  3.7726915E-05  2.3273195E-04  1.2974805E-05  3.9508492E-08  4.1918659E-09  3.3228866E-09  1.2979892E-03
  3.1551906E-09  4.1925857E-09  3.7842953E-08  3.2037505E-06  3.4263859E-05  3.5287588E-05  6.7612157E-07  3.6010732E-05  2.2184191E-04  1.2418582E-05  3.7842953E-08  4.1925857E-09  3.1551906E-09  1.2973068E-03
  3.1850268E-09  4.1944461E-09  3.6279258E-08  3.1105801E-06  3.3034403E-05  3.4053371E-05  6.4426292E-07  3.4400341E-05  2.1163163E-04  1.1895108E-05  3.6279258E-08  4.1944461E-09  3.1850268E-09  1.2966208E-03
  3.2139573E-09  4.1962385E-09  3.4811672E-08  3.0226171E-06  3.1865903E-05  3.2879498E-05  6.1463074E-07  3.2887523E-05  2.0204789E-04  1.1401939E-05  3.4811672E-08  4.1962385E-09  3.2139573E-09  1.2959315E-03
  3.2441751E-09  4.1630816E-09  3.3465889E-08  2.9394815E-06  3.0754470E-05  3.1762612E-05  5.8142856E-07  3.1464735E-05  1.9304198E-04  1.0936857E-05  3.3465889E-08  4.1630816E-09  3.2441751E-09  1.2952387E-03
  3.2636413E-09  3.9594734E-09  3.2169682E-08  2.8608540E-06  2.9696482E-05  3.0699165E-05  5.5720827E-07  3.0125419E-05  1.8457120E-04  1.0497817E-05  3.2169682E-08  3.9594734E-09  3.2636413E-09  1.2945424E-03
  3.2817722E-09  3.8571167E-09  3.0951566E-08  2.7864164E-06  2.8689131E-05  2.9685462E-05  5.3565669E-07  2.8863324E-05  1.7659522E-04  1.0082975E-05  3.0951566E-08  3.8571167E-09  3.2817722E-09  1.2938426E-03
  3.2005174E-09  3.6557751E-09  2.9701352E-08  2.7158832E-06  2.7728563E-05  2.8718507E-05  5.1509239E-07  2.7672832E-05  1.6907781E-04  9.6906334E-06  2.9701352E-08  3.6557751E-09  3.2005174E-09  1.2931391E-03
  3.1191967E-09  3.4554378E-09  2.8618085E-08  2.6489949E-06  2.6811999E-05  2.7795539E-05  4.9549195E-07  2.6548830E-05  1.6198591E-04  9.3192486E-06  2.8618085E-08  3.4554378E-09  3.1191967E-09  1.2924320E-03
  3.1372496E-09  3.4556974E-09  2.7395734E-08  2.5855133E-06  2.5936877E-05  2.6914005E-05  4.7682749E-07  2.5486696E-05  1.5528969E-04  8.9674138E-06  2.7395734E-08  3.4556974E-09  3.1372496E-09  1.2917212E-03
  3.1556353E-09  3.4577406E-09  2.6030347E-08  2.5252134E-06  2.5100765E-05  2.6071473E-05  4.5906854E-07  2.4482028E-05  1.4896078E-04  8.6337891E-06  2.6030347E-08  3.4577406E-09  3.1556353E-09  1.2910067E-03
  2.9744427E-09  3.4607647E-09  2.5118504E-08  2.4678944E-06  2.4301452E-05  2.5265751E-05  4.4218213E-07  2.3530962E-05  1.4297425E-04  8.3171939E-06  2.5118504E-08  3.4607647E-09  2.9744427E-09  1.2902885E-03
  3.0804745E-09  3.3318882E-09  2.4669981E-08  2.4133622E-06  2.3536818E-05  2.4494718E-05  4.2064144E-07  2.2629863E-05  1.3730683E-04  8.0165572E-06  2.4669981E-08  3.3318882E-09  3.0804745E-09  1.2895664E-03
  0.0000000E+00  1.0000000E-09  3.9000000E-09  3.2525800E-05  3.2718290E-04  3.2718300E-04  6.7132000E-05  5.7006400E-04  3.6587760E-03  1.8037400E-04  3.9000000E-09  2.2000000E-09  0.0000000E+00  1.0723851E-03
  0.0000000E+00  1.0000000E-09  2.0673288E-07  2.7534477E-05  2.9128364E-04  2.9144142E-04  4.3347678E-05  4.6472215E-04  2.9747453E-03  1.4988607E-04  2.0673288E-07  2.2000000E-09  0.0000000E+00  1.0714027E-03
  0.0000000E+00  1.6000000E-09  2.6706163E-07  2.3597063E-05  2.6000872E-04  2.6030427E-04  2.9381703E-05  3.8715985E-04  2.4731967E-03  1.2650710E-04  2.6706163E-07  3.9000000E-09  0.0000000E+00  1.0710821E-03
  0.0000000E+00  1.4000000E-09  2.7182996E-07  2.0466313E-05  2.3338024E-04  2.3379414E-04  2.0595417E-05  3.2702000E-04  2.0850750E-03  1.0811955E-04  2.7182996E-07  4.1000000E-09  0.0000000E+00  1.0707605E-03
  0.0000000E+00  6.0000000E-10  2.5589608E-07  1.7939128E-05  2.1057906E-04  2.1109363E-04  1.4936169E-05  2.7956184E-04  1.7793185E-03  9.3424034E-05  2.5589608E-07  2.3000000E-09  0.0000000E+00  1.0704377E-03
  0.0000000E+00  1.1000000E-09  2.3345310E-07  1.5871190E-05  1.9093567E-04  1.9153542E-04  1.1176109E-05  2.4151953E-04  1.5345972E-03  8.1507972E-05  2.3345310E-07  4.6000000E-09  0.0000000E+00  1.0701138E-03
  0.0000000E+00  4.0000000E-10  2.1033016E-07  1.4158235E-05  1.7393652E-04  1.7460648E-04  8.6181635E-06  2.1059590E-04  1.3359448E-03  7.1719199E-05  2.1033016E-07  3.1000000E-09  0.0000000E+00  1.0697888E-03
  0.0000000E+00  4.0788001E-09  1.8840111E-07  1.2734483E-05  1.5922688E-04  1.5995778E-04  6.8264359E-06  1.8533614E-04  1.1738765E-03  6.3645153E-05  1.8840111E-07  4.0788001E-09  0.0000000E+00  1.0694522E-03
  0.0000000E+00  5.0402640E-09  1.6816785E-07  1.1545561E-05  1.4648804E-04  1.4727101E-04  5.5205483E-06  1.6457793E-04  1.0408354E-03  5.6950116E-05  1.6816785E-07  5.0402640E-09  0.0000000E+00  1.0690900E-03
  0.0000000E+00  4.3781366E-09  1.5054085E-07  1.0521879E-05  1.3516092E-04  1.3598708E-04  4.5289521E-06  1.4696296E-04  9.2807095E-04  5.1221971E-05  1.5054085E-07  4.3781366E-09  0.0000000E+00  1.0687263E-03
  0.0000000E+00  3.2889550E-09  1.3520969E-07  9.6346718E-06  1.2506057E-04  1.2592271E-04  3.7732299E-06  1.3190440E-04  8.3177262E-04  4.6286649E-05  1.3520969E-07  3.2889550E-09  0.0000000E+00  1.0683612E-03
  0.0000000E+00  2.7404267E-09  1.2192451E-07  8.8610773E-06  1.1601073E-04  1.1690307E-04  3.1803694E-06  1.1895897E-04  7.4896716E-04  4.2006985E-05  1.2192451E-07  2.7404267E-09  0.0000000E+00  1.0679949E-03
  0.0000000E+00  2.2616910E-09  1.1036146E-07  8.1827854E-06  1.0787420E-04  1.0879138E-04  2.7192192E-06  1.0774321E-04  6.7731123E-04  3.8273843E-05  1.1036146E-07  2.2616910E-09  0.0000000E+00  1.0676271E-03
  0.0000000E+00  2.0454723E-09  1.0031010E-07  7.5849789E-06  1.0053472E-04  1.0147214E-04  2.3443164E-06  9.7969322E-05  6.1493988E-04  3.4999573E-05  1.0031010E-07  2.0454723E-09  0.0000000E+00  1.0672580E-03
  0.0000000E+00  1.9913658E-09  9.1509351E-08  7.0555973E-06  9.3893655E-05  9.4847354E-05  2.0399789E-06  8.9406145E-05  5.6035588E-04  3.2113203E-05  9.1509351E-08  1.9913658E-09  0.0000000E+00  1.0668875E-03
  0.0000000E+00  1.8689768E-09  8.3779016E-08  6.5847242E-06  8.7866731E-05  8.8833300E-05  1.7889416E-06  8.1866261E-05  5.1234693E-04  2.9556829E-05  8.3779016E-08  1.8689768E-09  0.0000000E+00  1.0665156E-03
  0.0000000E+00  2.0411394E-09  7.6996283E-08  6.1641599E-06  8.2381774E-05  8.3358277E-05  1.5827480E-06  7.5196549E-05  4.6992408E-04  2.7282834E-05  7.6996283E-08  2.0411394E-09  0.0000000E+00  1.0661423E-03
  0.0000000E+00  2.0798804E-09  7.0976040E-08  5.7870929E-06  7.7378601E-05  7.8362154E-05  1.4121213E-06  6.9272582E-05  4.3227466E-04  2.5251773E-05  7.0976040E-08  2.0798804E-09  0.0000000E+00  1.0657675E-03
  0.0000000E+00  2.0462222E-09  6.5332121E-08  5.4478040E-06  7.2801711E-05  7.3790517E-05  1.2667706E-06  6.3990424E-05  3.9872620E-04  2.3430818E-05  6.5332121E-08  2.0462222E-09  0.0000000E+00  1.0653913E-03
  0.0000000E+00  2.6644503E-09  6.0883554E-08  5.1414774E-06  6.8604552E-05  6.9596742E-05  1.1399887E-06  5.9260810E-05  3.6871885E-04  2.1792440E-05  6.0883554E-08  2.6644503E-09  0.0000000E+00  1.0650137E-03
  0.0000000E+00  2.4440594E-09  5.6326438E-08  4.8640447E-06  6.4746964E-05  6.5740895E-05  1.0402928E-06  5.5011079E-05  3.4178372E-04  2.0313412E-05  5.6326438E-08  2.4440594E-09  0.0000000E+00  1.0646346E-03
  0.0000000E+00  2.3307032E-09  5.2506387E-08  4.6120314E-06  6.1193746E-05  6.2188023E-05  9.5463358E-07  5.1179899E-05  3.1752584E-04  1.8974072E-05  5.2506387E-08  2.3307032E-09  0.0000000E+00  1.0642540E-03
  0.0000000E+00  2.3184357E-09  4.9064939E-08  4.3824702E-06  5.7914168E-05  5.8907581E-05  8.7908165E-07  4.7716767E-05  2.9561079E-04  1.7757658E-05  4.9064939E-08  2.3184357E-09  0.0000000E+00  1.0638720E-03
  0.0000000E+00  2.3127370E-09  4.5955986E-08  4.1728101E-06  5.4881224E-05  5.5872728E-05  8.1178361E-07  4.4577458E-05  2.7575405E-04  1.6649835E-05  4.5955986E-08  2.3127370E-09  0.0000000E+00  1.0634884E-03
  0.0000000E+00  2.3389298E-09  4.3151092E-08  3.9808438E-06  5.2071082E-05  5.3059775E-05  7.4820393E-07  4.1722135E-05  2.5771230E-04  1.5638282E-05  4.3151092E-08  2.3389298E-09  0.0000000E+00  1.0631035E-03
  0.0000000E+00  2.3324492E-09  4.0592148E-08  3.8046746E-06  4.9462823E-05  5.0447931E-05  6.9428575E-07  3.9118397E-05  2.4127674E-04  1.4712332E-05  4.0592148E-08  2.3324492E-09  0.0000000E+00  1.0627168E-03
  2.9000000E-09  2.2271932E-09  3.8160199E-08  3.6426378E-06  4.7037788E-05  4.8018645E-05  6.4605885E-07  3.6738208E-05  2.2626719E-04  1.3862770E-05  3.8160199E-08  2.2271932E-09  2.9000000E-09  1.0623288E-03
  2.9135197E-09  2.2197109E-09  3.6030856E-08  3.4937803E-06  4.4780501E-05  4.5765174E-05  6.0246307E-07  3.4568399E-05  2.1255558E-04  1.3090380E-05  3.6030856E-08  2.2197109E-09  2.9135197E-09  1.0618860E-03
  2.9381068E-09  2.2480051E-09  3.4193811E-08  3.3567312E-06  4.2687875E-05  4.3667088E-05  5.5973721E-07  3.2578934E-05  2.0003270E-04  1.2375569E-05  3.4193811E-08  2.2480051E-09  2.9381068E-09  1.0613436E-03
  2.9654696E-09  2.2342743E-09  3.2300221E-08  3.2295616E-06  4.0727858E-05  4.1701145E-05  5.2367550E-07  3.0742926E-05  1.8848704E-04  1.1713676E-05  3.2300221E-08  2.2342743E-09  2.9654696E-09  1.0607987E-03
  2.8921170E-09  2.2271586E-09  3.0650502E-08  3.1113690E-06  3.8889796E-05  3.9856761E-05  4.9132400E-07  2.9045570E-05  1.7782359E-04  1.1099782E-05  3.0650502E-08  2.2271586E-09  2.8921170E-09  1.0602512E-03
  2.9164607E-09  2.2175832E-09  2.9124637E-08  3.0013566E-06  3.7164120E-05  3.8124426E-05  4.6171002E-07  2.7482555E-05  1.6795859E-04  1.0529511E-05  2.9124637E-08  2.2175832E-09  2.9164607E-09  1.0597012E-03
  2.8405467E-09  2.1115074E-09  2.7715085E-08  2.8988109E-06  3.5542155E-05  3.6495515E-05  4.3456514E-07  2.6043524E-05  1.5881765E-04  9.9989671E-06  2.7715085E-08  2.1115074E-09  2.8405467E-09  1.0591485E-03
  2.7644799E-09  2.1067973E-09  2.6408346E-08  2.8030928E-06  3.4016030E-05  3.4962199E-05  4.0965204E-07  2.4705976E-05  1.5033467E-04  9.5046728E-06  2.6408346E-08  2.1067973E-09  2.7644799E-09  1.0585932E-03
  2.8469163E-09  2.1445313E-09  2.5207266E-08  2.7136252E-06  3.2578550E-05  3.3517334E-05  3.8357347E-07  2.3460916E-05  1.4245068E-04  9.0435204E-06  2.5207266E-08  2.1445313E-09  2.8469163E-09  1.0580350E-03
  2.6633135E-09  1.9385220E-09  2.4081148E-08  2.6299018E-06  3.1223283E-05  3.2154514E-05  3.6287316E-07  2.2300385E-05  1.3511313E-04  8.6126972E-06  2.4081148E-08  1.9385220E-09  2.6633135E-09  1.0574744E-03
  2.5795591E-09  1.9337789E-09  2.3033284E-08  2.5514541E-06  2.9946735E-05  3.0867800E-05  3.4386704E-07  2.1217165E-05  1.2827484E-04  8.2097022E-06  2.3033284E-08  1.9337789E-09  2.5795591E-09  1.0569109E-03
  2.3966595E-09  1.9305534E-09  2.2055952E-08  2.4778629E-06  2.8754240E-05  2.9659234E-05  3.2630897E-07  2.0204802E-05  1.2189355E-04  7.8322733E-06  2.2055952E-08  1.9305534E-09  2.3966595E-09  1.0563446E-03
  2.4125932E-09  2.0301942E-09  2.1044519E-08  2.4087493E-06  2.7625904E-05  2.8523749E-05  3.1053534E-07  1.9257483E-05  1.1593122E-04  7.4783686E-06  2.1044519E-08  2.0301942E-09  2.4125932E-09  1.0557756E-03
  2.4291321E-09  2.0314106E-09  2.0192737E-08  2.3437690E-06  2.6557361E-05  2.7447970E-05  2.9688569E-07  1.8369964E-05  1.1035363E-04  7.1461441E-06  2.0192737E-08  2.0314106E-09  2.4291321E-09  1.0552037E-03
  2.2454480E-09  2.0333743E-09  1.9396171E-08  2.2826113E-06  2.5544611E-05  2.6427916E-05  2.8408186E-07  1.7537516E-05  1.0512987E-04  6.8339270E-06  1.9396171E-08  2.0333743E-09  2.2454480E-09  1.0546291E-03
  2.4019102E-09  1.8661184E-09  1.8658412E-08  2.2249872E-06  2.4583928E-05  2.5459883E-05  2.6894710E-07  1.6755819E-05  1.0023196E-04  6.5402096E-06  1.8658412E-08  1.8661184E-09  2.4019102E-09  1.0540515E-03
  2.3130040E-09  1.8623730E-09  1.7958365E-08  2.1706479E-06  2.3671996E-05  2.4540577E-05  2.5771939E-07  1.6021052E-05  9.5634666E-05  6.2635952E-06  1.7958365E-08  1.8623730E-09  2.3130040E-09  1.0534709E-03
  2.2240075E-09  2.0608629E-09  1.7301955E-08  2.1193534E-06  2.2806167E-05  2.3666763E-05  2.4708003E-07  1.5329648E-05  9.1314981E-05  6.0028379E-06  1.7301955E-08  2.0608629E-09  2.2240075E-09  1.0528874E-03
  2.2347064E-09  2.0606057E-09  1.6684143E-08  2.0708883E-06  2.1983342E-05  2.2836106E-05  2.3714890E-07  1.4678400E-05  8.7252048E-05  5.7567917E-06  1.6684143E-08  2.0606057E-09  2.2347064E-09  1.0523010E-03
  2.2456204E-09  1.9608616E-09  1.6102812E-08  2.0250561E-06  2.1200710E-05  2.2045580E-05  2.2788224E-07  1.4064814E-05  8.3426862E-05  5.5244134E-06  1.6102812E-08  1.9608616E-09  2.2456204E-09  1.0517115E-03
  2.2561859E-09  1.9618002E-09  1.5454850E-08  1.9816758E-06  2.0455576E-05  2.1292611E-05  2.1908701E-07  1.3485763E-05  7.9822112E-05  5.3047447E-06  1.5454850E-08  1.9618002E-09  2.2561859E-09  1.0511191E-03
  2.2676492E-09  2.2642447E-09  1.4739344E-08  1.9405822E-06  1.9745669E-05  2.0574930E-05  2.1074631E-07  1.2938786E-05  7.6421978E-05  5.0969113E-06  1.4739344E-08  2.2642447E-09  2.2676492E-09  1.0505236E-03
  2.2785903E-09  2.2673960E-09  1.3854258E-08  1.9016234E-06  1.9068880E-05  1.9890440E-05  2.0284259E-07  1.2421896E-05  7.3212003E-05  4.9001089E-06  1.3854258E-08  2.2673960E-09  2.2785903E-09  1.0499249E-03
  2.2902868E-09  2.2718332E-09  1.3397329E-08  1.8646592E-06  1.8423256E-05  1.9237188E-05  1.9535773E-07  1.1932724E-05  7.0178948E-05  4.7136014E-06  1.3397329E-08  2.2718332E-09  2.2902868E-09  1.0493231E-03
  0.0000000E+00  1.4000000E-09  3.9000000E-09  2.4477800E-05  3.4250380E-04  3.4250380E-04  3.3006500E-05  3.2871320E-04  2.0712071E-03  1.2038770E-04  3.9000000E-09  4.6000000E-09  0.0000000E+00  8.4770411E-04
  0.0000000E+00  2.4000000E-09  1.0793131E-07  2.0352570E-05  3.0625255E-04  3.0646799E-04  2.0851969E-05  2.6570874E-04  1.6726675E-03  9.8780502E-05  1.0793131E-07  4.8000000E-09  0.0000000E+00  8.4737418E-04
  0.0000000E+00  2.7000000E-09  1.3736579E-07  1.7235726E-05  2.6638751E-04  2.6677107E-04  1.3819973E-05  2.1925732E-04  1.3774365E-03  8.2409032E-05  1.3736579E-07  4.4000000E-09  0.0000000E+00  8.4711349E-04
  0.0000000E+00  2.4000000E-09  1.3846009E-07  1.4796089E-05  2.3368572E-04  2.3420061E-04  9.4847415E-06  1.8354691E-04  1.1508856E-03  6.9681416E-05  1.3846009E-07  4.4000000E-09  0.0000000E+00  8.4685210E-04
  0.0000000E+00  2.4000000E-09  1.2936429E-07  1.2854712E-05  2.0656857E-04  2.0718605E-04  6.7703851E-06  1.5559426E-04  9.7383794E-04  5.9617372E-05  1.2936429E-07  5.2000000E-09  0.0000000E+00  8.4658981E-04
  0.0000000E+00  2.2000000E-09  1.1728381E-07  1.1286774E-05  1.8385471E-04  1.8455228E-04  5.0273673E-06  1.3335925E-04  8.3321330E-04  5.1537065E-05  1.1728381E-07  5.0000000E-09  0.0000000E+00  8.4632659E-04
  0.0000000E+00  2.6000000E-09  1.0508659E-07  1.0003549E-05  1.6465167E-04  1.6541162E-04  3.8442324E-06  1.1542426E-04  7.1989270E-04  4.4960171E-05  1.0508659E-07  3.8000000E-09  0.0000000E+00  8.4606251E-04
  0.0000000E+00  4.2937337E-09  9.3707532E-08  8.9488409E-06  1.4840088E-04  1.4920982E-04  3.0156547E-06  1.0088573E-04  6.2808525E-04  3.9582106E-05  9.3707532E-08  4.2937337E-09  0.0000000E+00  8.4578927E-04
  0.0000000E+00  4.7069851E-09  8.3370358E-08  8.0771825E-06  1.3461343E-04  1.3546134E-04  2.4230977E-06  8.9015097E-05  5.5322039E-04  3.5158588E-05  8.3370358E-08  4.7069851E-09  0.0000000E+00  8.4549567E-04
  0.0000000E+00  5.0538882E-09  7.4404601E-08  7.3337598E-06  1.2258507E-04  1.2346187E-04  1.9769598E-06  7.9002766E-05  4.9016137E-04  3.1402119E-05  7.4404601E-08  5.0538882E-09  0.0000000E+00  8.4520097E-04
  0.0000000E+00  4.3600482E-09  6.6646673E-08  6.6951990E-06  1.1202921E-04  1.1292809E-04  1.6372124E-06  7.0616581E-05  4.3663433E-04  2.8188537E-05  6.6646673E-08  4.3600482E-09  0.0000000E+00  8.4490515E-04
  0.0000000E+00  4.3397497E-09  5.9957739E-08  6.1431136E-06  1.0280937E-04  1.0371241E-04  1.3722661E-06  6.3455348E-05  3.9087451E-04  2.5420768E-05  5.9957739E-08  4.3397497E-09  0.0000000E+00  8.4460827E-04
  0.0000000E+00  3.5704470E-09  5.4171627E-08  5.6629247E-06  9.4680343E-05  9.5595688E-05  1.1689566E-06  5.7282577E-05  3.5149819E-04  2.3022069E-05  5.4171627E-08  3.5704470E-09  0.0000000E+00  8.4431028E-04
  0.0000000E+00  3.4633843E-09  4.9155697E-08  5.2429394E-06  8.7434913E-05  8.8358367E-05  1.0042935E-06  5.1921511E-05  3.1740963E-04  2.0931257E-05  4.9155697E-08  3.4633843E-09  0.0000000E+00  8.4401116E-04
  0.0000000E+00  2.3698386E-09  4.4786604E-08  4.8737257E-06  8.0952438E-05  8.1880539E-05  8.7158659E-07  4.7245194E-05  2.8773350E-04  1.9099089E-05  4.4786604E-08  2.3698386E-09  0.0000000E+00  8.4371093E-04
  0.0000000E+00  2.1811593E-09  4.0969396E-08  4.5475946E-06  7.5131771E-05  7.6061677E-05  7.6560446E-07  4.3145021E-05  2.6176439E-04  1.7485636E-05  4.0969396E-08  2.1811593E-09  0.0000000E+00  8.4340959E-04
  0.0000000E+00  2.0744756E-09  3.7627255E-08  4.2582364E-06  6.9887721E-05  7.0817080E-05  6.7603635E-07  3.9528073E-05  2.3892953E-04  1.6058265E-05  3.7627255E-08  2.0744756E-09  0.0000000E+00  8.4310713E-04
  0.0000000E+00  1.9988630E-09  3.4677712E-08  4.0004503E-06  6.5148227E-05  6.6075106E-05  6.0180241E-07  3.6323358E-05  2.1876041E-04  1.4790105E-05  3.4677712E-08  1.9988630E-09  0.0000000E+00  8.4280351E-04
  0.0000000E+00  1.7295088E-09  3.2072041E-08  3.7699023E-06  6.0851924E-05  6.1774732E-05  5.4088946E-07  3.3472178E-05  2.0087106E-04  1.3658906E-05  3.2072041E-08  1.7295088E-09  0.0000000E+00  8.4249874E-04
  0.0000000E+00  1.6470895E-09  2.9765875E-08  3.5629668E-06  5.6946372E-05  5.7863796E-05  4.8882802E-07  3.0925737E-05  1.8494150E-04  1.2646102E-05  2.9765875E-08  1.6470895E-09  0.0000000E+00  8.4219275E-04
  0.0000000E+00  1.4904756E-09  2.7707265E-08  3.3766026E-06  5.3386593E-05  5.4297573E-05  4.4562969E-07  2.8660361E-05  1.7070491E-04  1.1736130E-05  2.7707265E-08  1.4904756E-09  0.0000000E+00  8.4188569E-04
  0.0000000E+00  1.4422908E-09  2.5867767E-08  3.2082290E-06  5.0133789E-05  5.1037454E-05  4.0774108E-07  2.6624774E-05  1.5793744E-04  1.0915861E-05  2.5867767E-08  1.4422908E-09  0.0000000E+00  8.4157739E-04
  0.0000000E+00  1.3999155E-09  2.3918898E-08  3.0556545E-06  4.7154390E-05  4.8050036E-05  3.7439032E-07  2.4786878E-05  1.4645033E-04  1.0174172E-05  2.3918898E-08  1.3999155E-09  0.0000000E+00  8.4126789E-04
  0.0000000E+00  1.4374283E-09  2.2435788E-08  2.9170036E-06  4.4419210E-05  4.5306279E-05  3.4305552E-07  2.3122516E-05  1.3608356E-04  9.5015814E-06  2.2435788E-08  1.4374283E-09  0.0000000E+00  8.4095720E-04
  0.0000000E+00  1.4025193E-09  2.1098936E-08  2.7906766E-06  4.1902870E-05  4.2780916E-05  3.1668698E-07  2.1611103E-05  1.2670093E-04  8.8899775E-06  2.1098936E-08  1.4025193E-09  0.0000000E+00  8.4064537E-04
  0.0000000E+00  1.3718718E-09  1.9889232E-08  2.6752865E-06  3.9583111E-05  4.0451788E-05  2.9329039E-07  2.0234929E-05  1.1818586E-04  8.3323861E-06  1.9889232E-08  1.3718718E-09  0.0000000E+00  8.4033224E-04
  2.2000000E-09  1.2441712E-09  1.8791855E-08  2.5696356E-06  3.7440416E-05  3.8299462E-05  2.7277396E-07  1.8978748E-05  1.1043820E-04  7.8227889E-06  1.8791855E-08  1.2441712E-09  2.2000000E-09  8.4001789E-04
  2.2064157E-09  1.2183530E-09  1.7794078E-08  2.4730028E-06  3.5460064E-05  3.6314611E-05  2.5425773E-07  1.7835570E-05  1.0338514E-04  7.3611487E-06  1.7794078E-08  1.2183530E-09  2.2064157E-09  8.3966024E-04
  2.3170531E-09  1.2655810E-09  1.6887381E-08  2.3844209E-06  3.3633919E-05  3.4478517E-05  2.3563116E-07  1.6788561E-05  9.6967101E-05  6.9355722E-06  1.6887381E-08  1.2655810E-09  2.3170531E-09  8.3922390E-04
  2.3289507E-09  1.2403740E-09  1.6054524E-08  2.3025622E-06  3.1933498E-05  3.2768002E-05  2.2024080E-07  1.5823762E-05  9.1069910E-05  6.5430326E-06  1.6054524E-08  1.2403740E-09  2.3289507E-09  8.3878551E-04
  2.2414375E-09  1.2171561E-09  1.5290639E-08  2.2267875E-06  3.0347960E-05  3.1172267E-05  2.0624057E-07  1.4935145E-05  8.5641431E-05  6.1801978E-06  1.5290639E-08  1.2171561E-09  2.2414375E-09  8.3834507E-04
  2.0534948E-09  1.1970827E-09  1.4488408E-08  2.1565322E-06  2.8867597E-05  2.9681647E-05  1.9345591E-07  1.4113179E-05  8.0635734E-05  5.8442809E-06  1.4488408E-08  1.1970827E-09  2.0534948E-09  8.3790252E-04
  2.0659921E-09  1.1794712E-09  1.3841554E-08  2.0912944E-06  2.7483676E-05  2.8287446E-05  1.8180823E-07  1.3351636E-05  7.6012211E-05  5.5327943E-06  1.3841554E-08  1.1794712E-09  2.0659921E-09  8.3745786E-04
  2.0786186E-09  1.1636255E-09  1.3244720E-08  2.0306266E-06  2.6188334E-05  2.6981832E-05  1.7154467E-07  1.2644981E-05  7.1734867E-05  5.2435221E-06  1.3244720E-08  1.1636255E-09  2.0786186E-09  8.3701112E-04
  2.1651148E-09  1.1240786E-09  1.2693054E-08  1.9741255E-06  2.4974453E-05  2.5757711E-05  1.6040540E-07  1.1988268E-05  6.7771699E-05  4.9744895E-06  1.2693054E-08  1.1240786E-09  2.1651148E-09  8.3656219E-04
  2.0740488E-09  1.1102338E-09  1.2182669E-08  1.9214395E-06  2.3835654E-05  2.4608728E-05  1.5231738E-07  1.1377125E-05  6.4096345E-05  4.7239280E-06  1.2182669E-08  1.1102338E-09  2.0740488E-09  8.3611108E-04
  2.0826853E-09  1.0971863E-09  1.1709425E-08  1.8722439E-06  2.2766106E-05  2.3529069E-05  1.4481280E-07  1.0807598E-05  6.0681622E-05  4.4902569E-06  1.1709425E-08  1.0971863E-09  2.0826853E-09  8.3565781E-04
  2.0910028E-09  1.0849116E-09  1.1269897E-08  1.8262500E-06  2.1760536E-05  2.2513476E-05  1.3784390E-07  1.0276150E-05  5.7504158E-05  4.2720538E-06  1.1269897E-08  1.0849116E-09  2.0910028E-09  8.3520234E-04
  2.0997853E-09  1.0743355E-09  1.0860957E-08  1.7831972E-06  2.0814151E-05  2.1557171E-05  1.3159062E-07  9.7796078E-06  5.4543605E-05  4.0680425E-06  1.0860957E-08  1.0743355E-09  2.0997853E-09  8.3474463E-04
  2.1085922E-09  8.6487815E-10  1.0380688E-08  1.7428506E-06  1.9922587E-05  2.0655798E-05  1.2584302E-07  9.3151108E-06  5.1781677E-05  3.8770695E-06  1.0380688E-08  8.6487815E-10  2.1085922E-09  8.3428464E-04
  2.1174520E-09  7.5644950E-10  1.0026095E-08  1.7049973E-06  1.9081863E-05  1.9805390E-05  1.2048790E-07  8.8800775E-06  4.9201922E-05  3.6980958E-06  1.0026095E-08  7.5644950E-10  2.1174520E-09  8.3382235E-04
  2.0910610E-09  1.0240513E-09  9.7945330E-09  1.6694399E-06  1.8288306E-05  1.9002277E-05  1.1345538E-07  8.4721395E-06  4.6789332E-05  3.5301702E-06  9.7945330E-09  1.0240513E-09  2.0910610E-09  8.3335779E-04
  2.0966392E-09  1.0151269E-09  9.3853494E-09  1.6360133E-06  1.7538682E-05  1.8243232E-05  1.0856959E-07  8.0892597E-06  4.4530856E-05  3.3724584E-06  9.3853494E-09  1.0151269E-09  2.0966392E-09  8.3289089E-04
  2.1029478E-09  1.0078565E-09  9.0960595E-09  1.6045538E-06  1.6829906E-05  1.7525175E-05  1.0396466E-07  7.7294850E-06  4.2414190E-05  3.2241762E-06  9.0960595E-09  1.0078565E-09  2.1029478E-09  8.3242161E-04
  2.0088153E-09  8.0042185E-10  8.8252590E-09  1.5749165E-06  1.6159189E-05  1.6845321E-05  9.9627973E-08  7.3910753E-06  4.0428338E-05  3.0846194E-06  8.8252590E-09  8.0042185E-10  2.0088153E-09  8.3194994E-04
  2.0148442E-09  7.9391661E-10  8.2711361E-09  1.5469694E-06  1.5523968E-05  1.6201110E-05  9.5546772E-08  7.0725764E-06  3.8563314E-05  2.9531474E-06  8.2711361E-09  7.9391661E-10  2.0148442E-09  8.3147593E-04
  2.0211962E-09  7.8824446E-10  7.6337504E-09  1.5205935E-06  1.4922042E-05  1.5590214E-05  9.1708302E-08  6.7724222E-06  3.6810172E-05  2.8291820E-06  7.6337504E-09  7.8824446E-10  2.0211962E-09  8.3099941E-04
  2.0275599E-09  7.8286694E-10  7.4111823E-09  1.4956755E-06  1.4351197E-05  1.5010420E-05  8.8100223E-08  6.4892535E-06  3.5160379E-05  2.7121736E-06  7.4111823E-09  7.8286694E-10  2.0275599E-09  8.3052048E-04
  2.1340288E-09  6.7796748E-10  7.2016881E-09  1.4721159E-06  1.3809312E-05  1.4459755E-05  8.4484976E-08  6.2218885E-06  3.3606528E-05  2.6016408E-06  7.2016881E-09  6.7796748E-10  2.1340288E-09  8.3003904E-04
  2.1005413E-09  9.5013745E-10  7.5988925E-09  1.4498191E-06  1.3294526E-05  1.3936360E-05  7.9420886E-08  5.9692114E-06  3.2141710E-05  2.4971383E-06  7.5988925E-09  9.5013745E-10  2.1005413E-09  8.2955513E-04
  0.0000000E+00  1.7000000E-09  3.9000000E-09  1.6340800E-05  3.5025290E-04  3.5025290E-04  1.3918700E-05  1.7230570E-04  1.0410164E-03  7.1992700E-05  3.9000000E-09  4.2000000E-09  0.0000000E+00  6.4293511E-04
  0.0000000E+00  2.2000000E-09  4.4236632E-08  1.3485601E-05  2.8905885E-04  2.8929492E-04  8.3442199E-06  1.3760396E-04  8.2181896E-04  5.8157530E-05  4.4236632E-08  4.3000000E-09  0.0000000E+00  6.4198057E-04
  0.0000000E+00  3.0000000E-09  5.4787757E-08  1.1315455E-05  2.4425400E-04  2.4465752E-04  5.3381048E-06  1.1303888E-04  6.6833924E-04  4.7903334E-05  5.4787757E-08  5.1000000E-09  0.0000000E+00  6.4177961E-04
  0.0000000E+00  3.6000000E-09  5.4506487E-08  9.6408921E-06  2.0886406E-04  2.0938710E-04  3.5951624E-06  9.4285554E-05  5.5196324E-04  4.0029022E-05  5.4506487E-08  4.9000000E-09  0.0000000E+00  6.4157799E-04
  0.0000000E+00  2.8000000E-09  5.0532866E-08  8.3258848E-06  1.8047376E-04  1.8108215E-04  2.5279003E-06  7.9665140E-05  4.6202828E-04  3.3873163E-05  5.0532866E-08  4.4000000E-09  0.0000000E+00  6.4137566E-04
  0.0000000E+00  3.0000000E-09  4.5604278E-08  7.2670420E-06  1.5738028E-04  1.5804936E-04  1.8581714E-06  6.8077845E-05  3.9134603E-04  2.8983017E-05  4.5604278E-08  5.0000000E-09  0.0000000E+00  6.4117257E-04
  0.0000000E+00  3.1000000E-09  4.0776972E-08  6.4198853E-06  1.3836263E-04  1.3907410E-04  1.4118255E-06  5.8758826E-05  3.3498774E-04  2.5042272E-05  4.0776972E-08  3.5000000E-09  0.0000000E+00  6.4096888E-04
  0.0000000E+00  3.8660210E-09  3.6352655E-08  5.7309821E-06  1.2264575E-04  1.2338719E-04  1.1039832E-06  5.1222924E-05  2.8974608E-04  2.1850083E-05  3.6352655E-08  3.8660210E-09  0.0000000E+00  6.4075822E-04
  0.0000000E+00  4.0218821E-09  3.2403907E-08  5.1673324E-06  1.0959119E-04  1.1035380E-04  8.8541763E-07  4.5088395E-05  2.5317054E-04  1.9247689E-05  3.2403907E-08  4.0218821E-09  0.0000000E+00  6.4053209E-04
  0.0000000E+00  4.1825878E-09  2.9000017E-08  4.6910649E-06  9.8409382E-05  9.9185077E-05  7.2199416E-07  3.9928322E-05  2.2260918E-04  1.7055838E-05  2.9000017E-08  4.1825878E-09  0.0000000E+00  6.4030513E-04
  0.0000000E+00  3.4454369E-09  2.6088802E-08  4.2856068E-06  8.8767840E-05  8.9550392E-05  5.9840858E-07  3.5553691E-05  1.9686564E-04  1.5195485E-05  2.6088802E-08  3.4454369E-09  0.0000000E+00  6.4007736E-04
  0.0000000E+00  3.4472219E-09  2.3588993E-08  3.9380319E-06  8.0403311E-05  8.1187927E-05  5.0242665E-07  3.1818068E-05  1.7501846E-04  1.3605247E-05  2.3588993E-08  3.4472219E-09  0.0000000E+00  6.3984876E-04
  0.0000000E+00  3.0297321E-09  2.1445576E-08  3.6381802E-06  7.3105544E-05  7.3888533E-05  4.2808652E-07  2.8606848E-05  1.5635041E-04  1.2237009E-05  2.1445576E-08  3.0297321E-09  0.0000000E+00  6.3961934E-04
  0.0000000E+00  3.2878478E-09  1.9592860E-08  3.3779684E-06  6.6705093E-05  6.7483606E-05  3.6902334E-07  2.5829412E-05  1.4029761E-04  1.1052638E-05  1.9592860E-08  3.2878478E-09  0.0000000E+00  6.3938903E-04
  0.0000000E+00  2.3497440E-09  1.7992930E-08  3.1509283E-06  6.1064357E-05  6.1836218E-05  3.2152918E-07  2.3413510E-05  1.2641255E-04  1.0021694E-05  1.7992930E-08  2.3497440E-09  0.0000000E+00  6.3915783E-04
  0.0000000E+00  1.5151307E-09  1.6604973E-08  2.9518265E-06  5.6070687E-05  5.6834236E-05  2.8391736E-07  2.1300982E-05  1.1433704E-04  9.1196317E-06  1.6604973E-08  1.5151307E-09  0.0000000E+00  6.3892585E-04
  0.0000000E+00  1.8667124E-09  1.5389311E-08  2.7763988E-06  5.1631231E-05  5.2385219E-05  2.5163488E-07  1.9444660E-05  1.0378200E-04  8.3265244E-06  1.5389311E-08  1.8667124E-09  0.0000000E+00  6.3869296E-04
  0.0000000E+00  1.4324959E-09  1.4326224E-08  2.6211569E-06  4.7669010E-05  4.8412498E-05  2.2524728E-07  1.7806038E-05  9.4512468E-05  7.6260784E-06  1.4326224E-08  1.4324959E-09  0.0000000E+00  6.3845919E-04
  0.0000000E+00  1.4030442E-09  1.3393487E-08  2.4832131E-06  4.4119719E-05  4.4852038E-05  2.0275870E-07  1.6353425E-05  8.6336004E-05  7.0048658E-06  1.3393487E-08  1.4030442E-09  0.0000000E+00  6.3822455E-04
  0.0000000E+00  1.3600722E-09  1.2565254E-08  2.3601665E-06  4.0929362E-05  4.1650035E-05  1.8320971E-07  1.5060553E-05  7.9093955E-05  6.4519974E-06  1.2565254E-08  1.3600722E-09  0.0000000E+00  6.3798899E-04
  0.0000000E+00  1.3338205E-09  1.1834337E-08  2.2500186E-06  3.8052396E-05  3.8761112E-05  1.6685955E-07  1.3905583E-05  7.2654795E-05  5.9578036E-06  1.1834337E-08  1.3338205E-09  0.0000000E+00  6.3775256E-04
  0.0000000E+00  1.4113757E-09  1.1184239E-08  2.1510820E-06  3.5450141E-05  3.6146715E-05  1.5287516E-07  1.2870184E-05  6.6909612E-05  5.5146315E-06  1.1184239E-08  1.4113757E-09  0.0000000E+00  6.3751526E-04
  0.0000000E+00  1.1907498E-09  1.0304794E-08  2.0619331E-06  3.3089625E-05  3.3773971E-05  1.4047537E-07  1.1938918E-05  6.1767246E-05  5.1159199E-06  1.0304794E-08  1.1907498E-09  0.0000000E+00  6.3727697E-04
  0.0000000E+00  1.0740345E-09  9.7860183E-09  1.9813632E-06  3.0942605E-05  3.1614719E-05  1.2965197E-07  1.1098718E-05  5.7147756E-05  4.7561091E-06  9.7860183E-09  1.0740345E-09  0.0000000E+00  6.3703784E-04
  0.0000000E+00  1.1384925E-09  9.3152725E-09  1.9083375E-06  2.8984767E-05  2.9644708E-05  1.1898166E-07  1.0338445E-05  5.2985379E-05  4.4304608E-06  9.3152725E-09  1.1384925E-09  0.0000000E+00  6.3679777E-04
  0.0000000E+00  1.0237445E-09  8.8955430E-09  1.8419784E-06  2.7195160E-05  2.7843035E-05  1.1025838E-07  9.6486193E-06  4.9224209E-05  4.1348369E-06  8.8955430E-09  1.0237445E-09  0.0000000E+00  6.3655673E-04
  2.0000000E-09  1.0100683E-09  8.5166814E-09  1.7815221E-06  2.5555558E-05  2.6191515E-05  1.0240482E-07  9.0210639E-06  4.5816328E-05  3.8659568E-06  8.5166814E-09  1.0100683E-09  2.0000000E-09  6.3631475E-04
  2.0025730E-09  9.9747172E-10  8.0739152E-09  1.7264927E-06  2.4052778E-05  2.4679933E-05  9.5400453E-08  8.4519215E-06  4.2726023E-05  3.6234392E-06  8.0739152E-09  9.9747172E-10  2.0025730E-09  6.3604000E-04
  2.0071594E-09  9.6730326E-10  7.8586560E-09  1.6762865E-06  2.2676718E-05  2.3292412E-05  8.8216213E-08  7.9322431E-06  3.9925750E-05  3.4007944E-06  7.8586560E-09  9.6730326E-10  2.0071594E-09  6.3570559E-04
  2.0123120E-09  9.5541113E-10  7.5748732E-09  1.6301024E-06  2.1404599E-05  2.2008984E-05  8.2655423E-08  7.4547625E-06  3.7362577E-05  3.1962023E-06  7.5748732E-09  9.5541113E-10  2.0123120E-09  6.3536962E-04
  2.0176845E-09  9.4469459E-10  7.2158252E-09  1.5875397E-06  2.0226648E-05  2.0819895E-05  7.7758236E-08  7.0152277E-06  3.5011891E-05  3.0078517E-06  7.2158252E-09  9.4469459E-10  2.0176845E-09  6.3503205E-04
  2.0231685E-09  9.3492900E-10  6.9782672E-09  1.5482477E-06  1.9134219E-05  1.9716515E-05  7.3460789E-08  6.6099148E-06  3.2852165E-05  2.8341514E-06  6.9782672E-09  9.3492900E-10  2.0231685E-09  6.3469292E-04
  2.0289361E-09  9.2734668E-10  6.7607860E-09  1.5119158E-06  1.8119599E-05  1.8691143E-05  6.9578760E-08  6.2355255E-06  3.0864410E-05  2.6736937E-06  6.7607860E-09  9.2734668E-10  2.0289361E-09  6.3435220E-04
  2.0346623E-09  9.1961070E-10  6.4608496E-09  1.4782682E-06  1.7175907E-05  1.7736909E-05  6.5892715E-08  5.8891433E-06  2.9031864E-05  2.5252316E-06  6.4608496E-09  9.1961070E-10  2.0346623E-09  6.3400983E-04
  2.0274504E-09  8.9656774E-10  6.3721259E-09  1.4470569E-06  1.6296969E-05  1.6847644E-05  6.1552616E-08  5.5681619E-06  2.7339670E-05  2.3876529E-06  6.3721259E-09  8.9656774E-10  2.0274504E-09  6.3366584E-04
  2.0312819E-09  8.8945694E-10  6.2024007E-09  1.4180686E-06  1.5477292E-05  1.6017862E-05  5.8393226E-08  5.2702982E-06  2.5774702E-05  2.2599780E-06  6.2024007E-09  8.8945694E-10  2.0312819E-09  6.3332018E-04
  2.0354516E-09  8.8348589E-10  6.0455573E-09  1.3911051E-06  1.4711902E-05  1.5242589E-05  5.5457315E-08  4.9934803E-06  2.4325230E-05  2.1413223E-06  6.0455573E-09  8.8348589E-10  2.0354516E-09  6.3297283E-04
  2.0393854E-09  8.7797248E-10  5.1008629E-09  1.3659915E-06  1.3996332E-05  1.4517359E-05  5.2594409E-08  4.7358673E-06  2.2980814E-05  2.0308979E-06  5.1008629E-09  8.7797248E-10  2.0393854E-09  6.3262383E-04
  2.0434427E-09  8.7314886E-10  4.9675396E-09  1.3425706E-06  1.3326553E-05  1.3838145E-05  5.0117707E-08  4.4958086E-06  2.1732126E-05  1.9279985E-06  4.9675396E-09  8.7314886E-10  2.0434427E-09  6.3227308E-04
  2.0477358E-09  8.6898096E-10  4.8440633E-09  1.3207014E-06  1.2698925E-05  1.3201303E-05  4.7814070E-08  4.2718229E-06  2.0570818E-05  1.8319898E-06  4.8440633E-09  8.6898096E-10  2.0477358E-09  6.3192061E-04
  2.0522755E-09  8.6560690E-10  4.6297344E-09  1.3002564E-06  1.2110153E-05  1.2603537E-05  4.5578380E-08  4.0625764E-06  1.9489396E-05  1.7423008E-06  4.6297344E-09  8.6560690E-10  2.0522755E-09  6.3156645E-04
  2.0382329E-09  8.4555296E-10  4.6148047E-09  1.2811183E-06  1.1557233E-05  1.2041842E-05  4.2582169E-08  3.8668567E-06  1.8481110E-05  1.6584134E-06  4.6148047E-09  8.4555296E-10  2.0382329E-09  6.3121047E-04
  2.0411185E-09  8.4186326E-10  4.5152593E-09  1.2631881E-06  1.1037477E-05  1.1513526E-05  4.0689354E-08  3.6835993E-06  1.7539932E-05  1.5798686E-06  4.5152593E-09  8.4186326E-10  2.0411185E-09  6.3085275E-04
  2.0439795E-09  8.3839789E-10  4.4224900E-09  1.2463695E-06  1.0548404E-05  1.1016104E-05  3.8724346E-08  3.5118122E-06  1.6660375E-05  1.5062432E-06  4.4224900E-09  8.3839789E-10  2.0439795E-09  6.3049320E-04
  2.0469859E-09  8.3542172E-10  4.2362286E-09  1.2305770E-06  1.0087763E-05  1.0547320E-05  3.6941919E-08  3.3506051E-06  1.5837495E-05  1.4371556E-06  4.2362286E-09  8.3542172E-10  2.0469859E-09  6.3013186E-04
  2.0501564E-09  8.3270497E-10  4.1556265E-09  1.2157331E-06  9.6535012E-06  1.0105117E-05  3.5493342E-08  3.1991705E-06  1.5066817E-05  1.3722593E-06  4.1556265E-09  8.3270497E-10  2.0501564E-09  6.2976865E-04
  2.0533894E-09  8.3045509E-10  4.0802754E-09  1.2017673E-06  9.2437412E-06  9.6876146E-06  3.3949230E-08  3.0567741E-06  1.4344285E-05  1.3112392E-06  4.0802754E-09  8.3045509E-10  2.0533894E-09  6.2940361E-04
  2.0565533E-09  8.2844583E-10  4.0098847E-09  1.1886151E-06  8.8567650E-06  9.2930902E-06  3.2750109E-08  2.9227464E-06  1.3666211E-05  1.2538091E-06  4.0098847E-09  8.2844583E-10  2.0565533E-09  6.2903667E-04
  2.0599662E-09  8.2673497E-10  3.8439078E-09  1.1762178E-06  8.4909908E-06  8.9199659E-06  3.1612847E-08  2.7964783E-06  1.3029245E-05  1.1997071E-06  3.8439078E-09  8.2673497E-10  2.0599662E-09  6.2866786E-04
  2.0634710E-09  6.2512447E-10  3.7822781E-09  1.1645217E-06  8.1450988E-06  8.5667918E-06  3.0536569E-08  2.6774122E-06  1.2430332E-05  1.1485943E-06  3.7822781E-09  6.2512447E-10  2.0634710E-09  6.2829710E-04
  0.0000000E+00  1.7000000E-09  3.9000000E-09  9.2780000E-06  2.9085940E-04  2.9085940E-04  4.6091000E-06  8.9332400E-05  4.4026540E-04  3.6273900E-05  3.9000000E-09  2.7000000E-09  0.0000000E+00  4.5608420E-04
  0.0000000E+00  1.7000000E-09  1.6461834E-08  7.6948313E-06  2.0516402E-04  2.0534868E-04  2.5573379E-06  6.6753336E-05  3.4101918E-04  2.9157545E-05  1.6461834E-08  2.7000000E-09  0.0000000E+00  4.5342826E-04
  0.0000000E+00  2.5000000E-09  1.9412451E-08  6.4191160E-06  1.6954841E-04  1.6985635E-04  1.6444541E-06  5.4287502E-05  2.7403272E-04  2.3634339E-05  1.9412451E-08  3.5000000E-09  0.0000000E+00  4.5328441E-04
  0.0000000E+00  2.7000000E-09  1.9032134E-08  5.4527983E-06  1.4209963E-04  1.4249001E-04  1.1028525E-06  4.4832346E-05  2.2373797E-04  1.9457808E-05  1.9032134E-08  3.3000000E-09  0.0000000E+00  4.5313994E-04
  0.0000000E+00  1.4000000E-09  1.7581114E-08  4.7068640E-06  1.2056463E-04  1.2100968E-04  7.7621408E-07  3.7524413E-05  1.8524040E-04  1.6239426E-05  1.7581114E-08  1.2000000E-09  0.0000000E+00  4.5299528E-04
  0.0000000E+00  2.3000000E-09  1.5914519E-08  4.1212471E-06  1.0339927E-04  1.0387986E-04  5.7127266E-07  3.1780393E-05  1.5526161E-04  1.3716925E-05  1.5914519E-08  2.8000000E-09  0.0000000E+00  4.5285012E-04
  0.0000000E+00  1.5000000E-09  1.4335636E-08  3.6545058E-06  8.9522387E-05  9.0025116E-05  4.3408260E-07  2.7197435E-05  1.3155532E-04  1.1709720E-05  1.4335636E-08  1.4000000E-09  0.0000000E+00  4.5270449E-04
  0.0000000E+00  3.8517414E-09  1.2929096E-08  3.2803167E-06  7.8247225E-05  7.8763178E-05  3.3926562E-07  2.3519656E-05  1.1269290E-04  1.0103088E-05  1.2929096E-08  3.8517414E-09  0.0000000E+00  4.5255392E-04
  0.0000000E+00  3.0618931E-09  1.1704656E-08  2.9782001E-06  6.9028736E-05  6.9552093E-05  2.7235826E-07  2.0547650E-05  9.7573192E-05  8.8082787E-06  1.1704656E-08  3.0618931E-09  0.0000000E+00  4.5239247E-04
  0.0000000E+00  3.7089988E-09  1.0662675E-08  2.7260306E-06  6.1245638E-05  6.1771085E-05  2.2241492E-07  1.8064953E-05  8.5041830E-05  7.7291637E-06  1.0662675E-08  3.7089988E-09  0.0000000E+00  4.5223040E-04
  0.0000000E+00  2.8304342E-09  9.7893165E-09  2.5138357E-06  5.4624744E-05  5.5148397E-05  1.8448018E-07  1.5974224E-05  7.4569231E-05  6.8226184E-06  9.7893165E-09  2.8304342E-09  0.0000000E+00  4.5206776E-04
  0.0000000E+00  2.8293773E-09  9.0456216E-09  2.3339339E-06  4.8953344E-05  4.9472369E-05  1.5577688E-07  1.4200433E-05  6.5750032E-05  6.0549760E-06  9.0456216E-09  2.8293773E-09  0.0000000E+00  4.5190453E-04
  0.0000000E+00  1.8257992E-09  8.4200868E-09  2.1803583E-06  4.4064214E-05  4.4576562E-05  1.3464572E-07  1.2685220E-05  5.8270673E-05  5.4004600E-06  8.4200868E-09  1.8257992E-09  0.0000000E+00  4.5174071E-04
  0.0000000E+00  2.8102226E-09  7.8815243E-09  2.0484148E-06  3.9824536E-05  4.0328745E-05  1.1710536E-07  1.1382655E-05  5.1886085E-05  4.8388018E-06  7.8815243E-09  2.8102226E-09  0.0000000E+00  4.5157626E-04
  0.0000000E+00  1.4996946E-09  7.4272261E-09  1.9343878E-06  3.6127970E-05  3.6623011E-05  1.0314036E-07  1.0256331E-05  4.6402990E-05  4.3538758E-06  7.4272261E-09  1.4996946E-09  0.0000000E+00  4.5141121E-04
  0.0000000E+00  1.0900538E-09  7.0370859E-09  1.8353022E-06  3.2888603E-05  3.3373786E-05  9.1579581E-08  9.2770873E-06  4.1667575E-05  3.9329486E-06  7.0370859E-09  1.0900538E-09  0.0000000E+00  4.5124551E-04
  0.0000000E+00  1.4709414E-09  6.6956322E-09  1.7487579E-06  3.0036498E-05  3.0511380E-05  8.1549935E-08  8.4213851E-06  3.7556424E-05  3.5659225E-06  6.6956322E-09  1.4709414E-09  0.0000000E+00  4.5107927E-04
  0.0000000E+00  1.1617392E-09  6.4045433E-09  1.6728105E-06  2.7514354E-05  2.7978684E-05  7.3140487E-08  7.6701194E-06  3.3969804E-05  3.2441620E-06  6.4045433E-09  1.1617392E-09  0.0000000E+00  4.5091234E-04
  0.0000000E+00  1.1539919E-09  5.8515638E-09  1.6058650E-06  2.5274855E-05  2.5728525E-05  6.6257775E-08  7.0076256E-06  3.0826484E-05  2.9608168E-06  5.8515638E-09  1.1539919E-09  0.0000000E+00  4.5074485E-04
  0.0000000E+00  1.1368953E-09  5.9263737E-09  1.5466069E-06  2.3278692E-05  2.3721701E-05  5.9616720E-08  6.4212117E-06  2.8059865E-05  2.7102511E-06  5.9263737E-09  1.1368953E-09  0.0000000E+00  4.5057668E-04
  0.0000000E+00  1.1296034E-09  5.4328180E-09  1.4939515E-06  2.1493049E-05  2.1925477E-05  5.4779758E-08  5.9003041E-06  2.5615047E-05  2.4878093E-06  5.4328180E-09  1.1296034E-09  0.0000000E+00  4.5040785E-04
  0.0000000E+00  9.2320866E-10  5.2627395E-09  1.4469906E-06  1.9890328E-05  2.0312317E-05  5.0546203E-08  5.4355329E-06  2.3446434E-05  2.2896025E-06  5.2627395E-09  9.2320866E-10  0.0000000E+00  4.5023843E-04
  0.0000000E+00  8.1823028E-10  5.0131026E-09  1.4049641E-06  1.8447227E-05  1.8858962E-05  4.6466646E-08  5.0194306E-06  2.1515992E-05  2.1123773E-06  5.0131026E-09  8.1823028E-10  0.0000000E+00  4.5006835E-04
  0.0000000E+00  1.1038837E-09  4.9754226E-09  1.3672297E-06  1.7143954E-05  1.7545652E-05  4.2857702E-08  4.6456926E-06  1.9791799E-05  1.9533899E-06  4.9754226E-09  1.1038837E-09  0.0000000E+00  4.4989759E-04
  0.0000000E+00  8.9928481E-10  4.7576113E-09  1.3332480E-06  1.5963654E-05  1.6355557E-05  3.9929660E-08  4.3089979E-06  1.8246965E-05  1.8103307E-06  4.7576113E-09  8.9928481E-10  0.0000000E+00  4.4972621E-04
  0.0000000E+00  7.9554685E-10  4.5526100E-09  1.3025560E-06  1.4891869E-05  1.5274231E-05  3.7264383E-08  4.0047978E-06  1.6858690E-05  1.6812244E-06  4.5526100E-09  7.9554685E-10  0.0000000E+00  4.4955411E-04
  1.7000000E-09  7.9215386E-10  3.7592368E-09  1.2747592E-06  1.3916164E-05  1.4289248E-05  3.4662629E-08  3.7292082E-06  1.5607571E-05  1.5643888E-06  3.7592368E-09  7.9215386E-10  1.7000000E-09  4.4938139E-04
  1.7012505E-09  7.8956235E-10  3.5762236E-09  1.2496022E-06  1.3027629E-05  1.3393083E-05  3.2497744E-08  3.4806865E-06  1.4478709E-05  1.4595034E-06  3.5762236E-09  7.8956235E-10  1.7012505E-09  4.4918559E-04
  1.2029162E-09  7.7653481E-10  3.7950495E-09  1.2267776E-06  1.2218628E-05  1.2575422E-05  2.9987963E-08  3.2545266E-06  1.3461387E-05  1.3637487E-06  3.7950495E-09  7.7653481E-10  1.2029162E-09  4.4894755E-04
  1.2050305E-09  7.7382704E-10  3.5274391E-09  1.2058929E-06  1.1474996E-05  1.1823353E-05  2.8090530E-08  3.0475113E-06  1.2534839E-05  1.2761903E-06  3.5274391E-09  7.7382704E-10  1.2050305E-09  4.4870846E-04
  1.7072309E-09  7.7134109E-10  3.3664077E-09  1.1867451E-06  1.0790232E-05  1.1130378E-05  2.6289852E-08  2.8579261E-06  1.1691766E-05  1.1959670E-06  3.3664077E-09  7.7134109E-10  1.7072309E-09  4.4846820E-04
  1.7095449E-09  7.6940808E-10  3.3113410E-09  1.1691574E-06  1.0158603E-05  1.0490766E-05  2.4949257E-08  2.6836705E-06  1.0921309E-05  1.1223271E-06  3.3113410E-09  7.6940808E-10  1.7095449E-09  4.4822684E-04
  1.7118791E-09  7.6788954E-10  3.2613841E-09  1.1529738E-06  9.5750373E-06  9.8994436E-06  2.3240898E-08  2.5232664E-06  1.0215405E-05  1.0546094E-06  3.2613841E-09  7.6788954E-10  1.7118791E-09  4.4798435E-04
  1.7144973E-09  7.6677204E-10  3.2160735E-09  1.1380569E-06  9.0350347E-06  9.3519098E-06  2.2137898E-08  2.3753646E-06  9.5674764E-06  9.9223048E-07  3.2160735E-09  7.6677204E-10  1.7144973E-09  4.4774068E-04
  1.7108905E-09  7.5563421E-10  3.1680705E-09  1.1242838E-06  8.5345840E-06  8.8441497E-06  2.0633851E-08  2.2387625E-06  8.9717468E-06  9.3467054E-07  3.1680705E-09  7.5563421E-10  1.7108905E-09  4.4749583E-04
  1.7125914E-09  7.5439297E-10  3.1302010E-09  1.1115492E-06  8.0701364E-06  8.3726117E-06  1.9625711E-08  2.1124132E-06  8.4231390E-06  8.8148075E-07  3.1302010E-09  7.5439297E-10  1.7125914E-09  4.4724983E-04
  1.7142820E-09  7.5336798E-10  3.0956197E-09  1.0997561E-06  7.6384975E-06  7.9340957E-06  1.8488674E-08  1.9953669E-06  7.9171304E-06  8.3225123E-07  3.0956197E-09  7.5336798E-10  1.7142820E-09  4.4700265E-04
  1.7160448E-09  7.5252555E-10  3.0638868E-09  1.0888190E-06  7.2368145E-06  7.5257451E-06  1.7380130E-08  1.8867829E-06  7.4497135E-06  7.8662041E-07  3.0638868E-09  7.5252555E-10  1.7160448E-09  4.4675428E-04
  1.7179707E-09  7.5204250E-10  2.7350043E-09  1.0786616E-06  6.8625297E-06  7.1449957E-06  1.6627928E-08  1.7859100E-06  7.0173213E-06  7.4426570E-07  2.7350043E-09  7.5204250E-10  1.7179707E-09  4.4650467E-04
  1.7198683E-09  7.5165714E-10  2.5087608E-09  1.0692156E-06  6.5133428E-06  6.7895424E-06  1.5919101E-08  1.6920759E-06  6.6167734E-06  7.0489867E-07  2.5087608E-09  7.5165714E-10  1.7198683E-09  4.4625383E-04
  1.7218780E-09  7.5154319E-10  2.1847293E-09  1.0604199E-06  6.1871817E-06  6.4573073E-06  1.5253993E-08  1.6046772E-06  6.2452259E-06  6.6826064E-07  2.1847293E-09  7.5154319E-10  1.7218780E-09  4.4600177E-04
  1.7152921E-09  7.4159968E-10  2.9555584E-09  1.0522174E-06  5.8821512E-06  6.1463885E-06  1.4178144E-08  1.5231591E-06  5.9004190E-06  6.3411257E-07  2.9555584E-09  7.4159968E-10  1.7152921E-09  4.4574844E-04
  1.7165719E-09  7.4114331E-10  2.5346722E-09  1.0345840E-06  5.5966163E-06  5.8551470E-06  1.3567208E-08  1.4470586E-06  5.5798555E-06  6.0225928E-07  2.5346722E-09  7.4114331E-10  1.7165719E-09  4.4549386E-04
  1.7179811E-09  7.4088763E-10  2.4156591E-09  1.0274979E-06  5.3290206E-06  5.5820195E-06  1.2996125E-08  1.3759228E-06  5.2813675E-06  5.7250574E-07  2.4156591E-09  7.4088763E-10  1.7179811E-09  4.4523803E-04
  1.7193236E-09  7.4064280E-10  2.0981715E-09  1.0208662E-06  5.0779771E-06  5.3256130E-06  1.2463347E-08  1.3093536E-06  5.0031116E-06  5.4468196E-07  2.0981715E-09  7.4064280E-10  1.7193236E-09  4.4498087E-04
  1.7207879E-09  7.4060657E-10  1.8821520E-09  1.0146531E-06  4.8422255E-06  5.0846621E-06  1.1967191E-08  1.2469906E-06  4.7434242E-06  5.1863426E-07  1.8821520E-09  7.4060657E-10  1.7207879E-09  4.4472244E-04
  1.7222403E-09  7.4068397E-10  1.6674479E-09  1.0088265E-06  4.6206348E-06  4.8580309E-06  1.1505883E-08  1.1888336E-06  4.5008278E-06  4.9422580E-07  1.6674479E-09  7.4068397E-10  1.7222403E-09  4.4446263E-04
  1.7237738E-09  7.4087395E-10  1.4539656E-09  1.0033558E-06  4.4121292E-06  4.6446366E-06  1.1077665E-08  1.1339567E-06  4.2739101E-06  4.7132538E-07  1.4539656E-09  7.4087395E-10  1.7237738E-09  4.4420156E-04
  1.7253506E-09  7.4114658E-10  1.5416284E-09  9.9821476E-07  4.2157723E-06  4.4435381E-06  1.0680763E-08  1.0823901E-06  4.0614648E-06  4.4982064E-07  1.5416284E-09  7.4114658E-10  1.7253506E-09  4.4393910E-04
  1.7172340E-09  7.3202111E-10  1.8222205E-09  9.9337736E-07  4.0305910E-06  4.2538514E-06  9.4954304E-09  1.0338827E-06  3.8623640E-06  4.2960325E-07  1.8222205E-09  7.3202111E-10  1.7172340E-09  4.4367529E-04
  0.0000000E+00  2.9000000E-09  3.8000000E-09  4.1626000E-06  1.3905680E-04  1.3905680E-04  9.8520000E-07  3.3533100E-05  1.3285090E-04  1.3424100E-05  3.8000000E-09  2.2000000E-09  0.0000000E+00  2.8367128E-04
  0.0000000E+00  4.6000000E-09  4.5954218E-09  3.4580472E-06  1.1323557E-04  1.1334940E-04  4.7973417E-07  2.6169881E-05  9.9023928E-05  1.0412564E-05  4.5954218E-09  3.5000000E-09  0.0000000E+00  2.8327993E-04
  0.0000000E+00  4.2000000E-09  5.2117354E-09  2.9540198E-06  9.2225014E-05  9.2411436E-05  2.7962458E-07  2.0985737E-05  7.7691463E-05  8.3257036E-06  5.2117354E-09  4.7000000E-09  0.0000000E+00  2.8318968E-04
  0.0000000E+00  3.9000000E-09  5.4372061E-09  2.5763699E-06  7.6232111E-05  7.6464432E-05  1.7797766E-07  1.7110090E-05  6.2042454E-05  6.7688527E-06  5.4372061E-09  5.0000000E-09  0.0000000E+00  2.8309914E-04
  0.0000000E+00  2.8000000E-09  4.9983798E-09  2.2877929E-06  6.3833723E-05  6.4094349E-05  1.5412474E-07  1.4151854E-05  5.0322298E-05  5.5840266E-06  4.9983798E-09  3.2000000E-09  0.0000000E+00  2.8300827E-04
  0.0000000E+00  2.9000000E-09  4.6846947E-09  2.0633809E-06  5.4063867E-05  5.4341052E-05  1.4252179E-07  1.1853753E-05  4.1380614E-05  4.6661476E-06  4.6846947E-09  4.8000000E-09  0.0000000E+00  2.8291712E-04
  0.0000000E+00  2.5000000E-09  5.1980318E-09  1.8861161E-06  4.6252418E-05  4.6538220E-05  1.6270061E-07  1.0040203E-05  3.4444844E-05  3.9436892E-06  5.1980318E-09  4.4000000E-09  0.0000000E+00  2.8282564E-04
  0.0000000E+00  4.5005772E-09  5.0500634E-09  1.7451983E-06  3.9972641E-05  4.0262007E-05  1.6362804E-07  8.5998138E-06  2.9025692E-05  3.3712978E-06  5.0500634E-09  4.5005772E-09  0.0000000E+00  2.8273113E-04
  0.0000000E+00  3.4031016E-09  5.2185907E-09  1.6323253E-06  3.4890371E-05  3.5180187E-05  1.5573602E-07  7.4493292E-06  2.4756175E-05  2.9142777E-06  5.2185907E-09  3.4031016E-09  0.0000000E+00  2.8262976E-04
  0.0000000E+00  3.3031259E-09  5.2927990E-09  1.5388084E-06  3.0640675E-05  3.0928123E-05  1.4511738E-07  6.4968042E-06  2.1275937E-05  2.5367142E-06  5.2927990E-09  3.3031259E-09  0.0000000E+00  2.8252804E-04
  0.0000000E+00  2.9052677E-09  5.0762676E-09  1.4606723E-06  2.7059281E-05  2.7342415E-05  1.2924890E-07  5.7012222E-06  1.8410626E-05  2.2221050E-06  5.0762676E-09  2.9052677E-09  0.0000000E+00  2.8242595E-04
  0.0000000E+00  3.6044390E-09  5.0604955E-09  1.3948764E-06  2.4019288E-05  2.4296778E-05  1.1238211E-07  5.0315151E-06  1.6031822E-05  1.9578620E-06  5.0604955E-09  3.6044390E-09  0.0000000E+00  2.8232347E-04
  0.0000000E+00  3.3063657E-09  5.0509467E-09  1.3390742E-06  2.1421677E-05  2.1692645E-05  9.6611924E-08  4.4637048E-06  1.4041639E-05  1.7343003E-06  5.0509467E-09  3.3063657E-09  0.0000000E+00  2.8222064E-04
  0.0000000E+00  3.7044926E-09  5.0402463E-09  1.2914316E-06  1.9188397E-05  1.9452287E-05  8.2385728E-08  3.9790690E-06  1.2364630E-05  1.5438685E-06  5.0402463E-09  3.7044926E-09  0.0000000E+00  2.8211744E-04
  0.0000000E+00  3.3061434E-09  5.0346429E-09  1.2505060E-06  1.7257409E-05  1.7513902E-05  7.0725095E-08  3.5628748E-06  1.0942114E-05  1.3806428E-06  5.0346429E-09  3.3061434E-09  0.0000000E+00  2.8201383E-04
  0.0000000E+00  2.8081460E-09  4.7303838E-09  1.2151488E-06  1.5578946E-05  1.5827893E-05  6.0866392E-08  3.2034031E-06  9.7279866E-06  1.2399181E-06  4.7303838E-09  2.8081460E-09  0.0000000E+00  2.8190984E-04
  0.0000000E+00  3.2056361E-09  5.0239865E-09  1.1844390E-06  1.4112787E-05  1.4354164E-05  5.1987438E-08  2.8912623E-06  8.6857298E-06  1.1179315E-06  5.0239865E-09  3.2056361E-09  0.0000000E+00  2.8180547E-04
  0.0000000E+00  3.0070181E-09  4.8215898E-09  1.1576346E-06  1.2826195E-05  1.3060066E-05  4.5157447E-08  2.6188765E-06  7.7861928E-06  1.0116566E-06  4.8215898E-09  3.0070181E-09  0.0000000E+00  2.8170081E-04
  0.0000000E+00  3.0084552E-09  3.9205268E-09  1.1341300E-06  1.1692325E-05  1.1918816E-05  3.8988258E-08  2.3801855E-06  7.0059094E-06  9.1863024E-07  3.9205268E-09  3.0084552E-09  0.0000000E+00  2.8159567E-04
  0.0000000E+00  3.2057860E-09  4.7163268E-09  1.1134289E-06  1.0689022E-05  1.0908304E-05  3.3811773E-08  2.1699497E-06  6.3258617E-06  8.3683763E-07  4.7163268E-09  3.2057860E-09  0.0000000E+00  2.8149011E-04
  0.0000000E+00  3.2069065E-09  4.0155667E-09  1.0951238E-06  9.7979063E-06  1.0010178E-05  2.9178450E-08  1.9840771E-06  5.7305481E-06  7.6462792E-07  4.0155667E-09  3.2069065E-09  0.0000000E+00  2.8138418E-04
  0.0000000E+00  3.2081175E-09  4.2153791E-09  1.0788751E-06  9.0035613E-06  9.2091041E-06  2.5627059E-08  1.8191133E-06  5.2072278E-06  7.0062823E-07  4.2153791E-09  3.2081175E-09  0.0000000E+00  2.8127782E-04
  0.0000000E+00  3.2093650E-09  4.2155269E-09  1.0644000E-06  8.2932598E-06  8.4922041E-06  2.2728589E-08  1.6721779E-06  4.7453852E-06  6.4369686E-07  4.2155269E-09  3.2093650E-09  0.0000000E+00  2.8117108E-04
  0.0000000E+00  2.9106864E-09  4.2158977E-09  1.0514612E-06  7.6560239E-06  7.8486120E-06  2.0192284E-08  1.5408569E-06  4.3362842E-06  5.9287825E-07  4.2158977E-09  2.9106864E-09  0.0000000E+00  2.8106392E-04
  0.0000000E+00  3.2071905E-09  4.3120417E-09  1.0398580E-06  7.0826334E-06  7.2691079E-06  1.7857819E-08  1.4231114E-06  3.9726274E-06  5.4736550E-07  4.3120417E-09  3.2071905E-09  0.0000000E+00  2.8095635E-04
  0.0000000E+00  3.2080776E-09  4.5121189E-09  1.0294223E-06  6.5652473E-06  6.7458473E-06  1.6007537E-08  1.3172241E-06  3.6483015E-06  5.0648345E-07  4.5121189E-09  3.2080776E-09  0.0000000E+00  2.8084835E-04
  1.2000000E-09  2.9089542E-09  4.5125177E-09  1.0200093E-06  6.0971480E-06  6.2721087E-06  1.4426524E-08  1.2217254E-06  3.3581410E-06  4.6965194E-07  4.5125177E-09  2.9089542E-09  1.2000000E-09  2.8073994E-04
  1.2004027E-09  2.8100034E-09  4.4129850E-09  1.0016076E-06  5.6734796E-06  5.8436121E-06  1.3071232E-08  1.1358811E-06  3.0984716E-06  4.3669472E-07  4.4129850E-09  2.8100034E-09  1.2004027E-09  2.8061706E-04
  1.1009548E-09  3.2065280E-09  4.7096544E-09  9.9398835E-07  5.2899982E-06  5.4549820E-06  1.1839014E-08  1.0581044E-06  2.8659485E-06  4.0676158E-07  4.7096544E-09  3.2065280E-09  1.1009548E-09  2.8046785E-04
  1.1016581E-09  3.0071489E-09  4.5098755E-09  9.8704010E-07  4.9395304E-06  5.0994627E-06  1.0816064E-08  9.8720690E-07  2.6555122E-06  3.7950210E-07  4.5098755E-09  3.0071489E-09  1.1016581E-09  2.8031795E-04
  1.2024178E-09  2.9078208E-09  4.5101818E-09  9.8069032E-07  4.6186238E-06  4.7737939E-06  9.9285198E-09  9.2244548E-07  2.4647458E-06  3.5453064E-07  4.5101818E-09  2.9078208E-09  1.2024178E-09  2.8016736E-04
  1.2032118E-09  2.8085082E-09  4.5104823E-09  9.7487633E-07  4.3242587E-06  4.4748438E-06  9.1565940E-09  8.6317521E-07  2.2913460E-06  3.3200096E-07  4.5104823E-09  2.8085082E-09  1.2032118E-09  2.8001605E-04
  1.2040614E-09  2.8092477E-09  4.4108361E-09  9.6954304E-07  4.0537732E-06  4.1999443E-06  8.4837454E-09  8.0882944E-07  2.1333945E-06  3.1117619E-07  4.4108361E-09  2.8092477E-09  1.2040614E-09  2.7986404E-04
  1.5049235E-09  2.8100020E-09  4.6112666E-09  9.6464204E-07  3.8048194E-06  3.9467424E-06  7.7962359E-09  7.5891052E-07  1.9892331E-06  2.9206139E-07  4.6112666E-09  2.8100020E-09  1.5049235E-09  2.7971130E-04
  1.2036207E-09  2.9065097E-09  4.5081234E-09  9.6013002E-07  3.5753131E-06  3.7131479E-06  7.2125096E-09  7.1297611E-07  1.8574047E-06  2.7448304E-07  4.5081234E-09  2.9065097E-09  1.2036207E-09  2.7955783E-04
  1.2041821E-09  2.8070381E-09  4.5083955E-09  9.5597040E-07  3.3634198E-06  3.4973216E-06  6.7477897E-09  6.7064447E-07  1.7366447E-06  2.5829519E-07  4.5083955E-09  2.8070381E-09  1.2041821E-09  2.7940363E-04
  1.2047752E-09  2.8075493E-09  4.5086775E-09  9.5212914E-07  3.1674969E-06  3.2976141E-06  6.2378424E-09  6.3156895E-07  1.6258282E-06  2.4336190E-07  4.5086775E-09  2.8075493E-09  1.2047752E-09  2.7924868E-04
  1.5054095E-09  2.8081063E-09  4.6090161E-09  9.4857651E-07  2.9860838E-06  3.1125594E-06  5.7757786E-09  5.9544439E-07  1.5239662E-06  2.2956467E-07  4.6090161E-09  2.8081063E-09  1.5054095E-09  2.7909299E-04
  1.5061014E-09  2.7087417E-09  4.6094097E-09  9.4528604E-07  2.8178774E-06  2.9408486E-06  5.4556480E-09  5.6199924E-07  1.4301853E-06  2.1679818E-07  4.6094097E-09  2.7087417E-09  1.5061014E-09  2.7893652E-04
  1.5067834E-09  2.6093713E-09  4.6098227E-09  9.4223415E-07  2.6617113E-06  2.7813092E-06  5.1721564E-09  5.3099132E-07  1.3437104E-06  2.0496851E-07  4.6098227E-09  2.6093713E-09  1.5067834E-09  2.7877931E-04
  1.5074694E-09  2.4100275E-09  4.6102480E-09  9.3939968E-07  2.5165394E-06  2.6328907E-06  4.9209372E-09  5.0220401E-07  1.2638537E-06  1.9399185E-07  4.6102480E-09  2.4100275E-09  1.5074694E-09  2.7862131E-04
  1.5050598E-09  2.8064907E-09  4.7071000E-09  9.3676317E-07  2.3813195E-06  2.4946447E-06  4.5260631E-09  4.7544059E-07  1.1899989E-06  1.8379072E-07  4.7071000E-09  2.8064907E-09  1.5050598E-09  2.7846252E-04
  1.5055318E-09  2.7069116E-09  4.6074201E-09  9.3430876E-07  2.2554150E-06  2.3657286E-06  4.3167016E-09  4.5053258E-07  1.1216076E-06  1.7430262E-07  4.6074201E-09  2.7069116E-09  1.5055318E-09  2.7830296E-04
  1.5060102E-09  2.6073617E-09  4.6076979E-09  9.3202062E-07  2.1379591E-06  2.2453722E-06  4.1294028E-09  4.2732081E-07  1.0581879E-06  1.6546474E-07  4.6076979E-09  2.6073617E-09  1.5060102E-09  2.7814258E-04
  1.5065549E-09  2.4078544E-09  4.7080205E-09  9.2988498E-07  2.0282642E-06  2.1328827E-06  3.9617599E-09  4.0566444E-07  9.9930254E-07  1.5722274E-07  4.7080205E-09  2.4078544E-09  1.5065549E-09  2.7798140E-04
  1.5070418E-09  2.3083806E-09  4.7083909E-09  9.2788945E-07  1.9257078E-06  2.0276337E-06  3.8116814E-09  3.8543618E-07  9.4455905E-07  1.4962859E-07  4.7083909E-09  2.3083806E-09  1.5070418E-09  2.7781940E-04
  1.5076067E-09  2.1088990E-09  4.6087765E-09  9.2602279E-07  1.8297265E-06  1.9289581E-06  3.6773470E-09  3.6652128E-07  8.9360512E-07  1.4243704E-07  4.6087765E-09  2.1088990E-09  1.5076067E-09  2.7765657E-04
  1.5082056E-09  1.9095080E-09  4.6091679E-09  9.2427481E-07  1.7398090E-06  1.8365392E-06  3.5571681E-09  3.4881560E-07  8.4612314E-07  1.3570782E-07  4.6091679E-09  1.9095080E-09  1.5082056E-09  2.7749292E-04
  1.5087784E-09  1.9100813E-09  4.6095926E-09  9.2263631E-07  1.6554905E-06  1.7498085E-06  3.4497553E-09  3.3222483E-07  8.0182699E-07  1.2940466E-07  4.6095926E-09  1.9100813E-09  1.5087784E-09  2.7732842E-04
  1.5093712E-09  1.8106898E-09  4.6100334E-09  9.2109889E-07  1.5763481E-06  1.6683391E-06  3.3538878E-09  3.1666327E-07  7.6045752E-07  1.2349457E-07  4.6100334E-09  1.8106898E-09  1.5093712E-09  2.7716306E-04
  0.0000000E+00  2.1000000E-09  5.6000000E-09  1.4731000E-06  2.6107500E-05  2.6107500E-05  7.7100000E-08  5.4518000E-06  1.7592800E-05  2.3251000E-06  5.6000000E-09  2.0000000E-09  0.0000000E+00  1.2424332E-04
  0.0000000E+00  2.1000000E-09  5.6262758E-09  1.6194317E-06  5.2021564E-05  5.2076526E-05  3.8836545E-06  8.8415990E-06  1.6784340E-05  3.1665655E-06  5.6262758E-09  2.0000000E-09  0.0000000E+00  1.3746848E-04
  0.0000000E+00  2.5000000E-09  5.4273702E-09  1.4346435E-06  4.1002349E-05  4.1089150E-05  2.1546655E-06  6.9992518E-06  1.3449678E-05  2.5121737E-06  5.4273702E-09  2.8000000E-09  0.0000000E+00  1.3742455E-04
  0.0000000E+00  2.9000000E-09  5.6260815E-09  1.3079371E-06  3.2860458E-05  3.2965006E-05  1.2343838E-06  5.6330252E-06  1.0944627E-05  2.0259731E-06  5.6260815E-09  3.2000000E-09  0.0000000E+00  1.3738049E-04
  0.0000000E+00  1.3000000E-09  5.6229153E-09  1.2047608E-06  2.6724401E-05  2.6837987E-05  7.2998595E-07  4.5997871E-06  9.0274006E-06  1.6573943E-06  5.6229153E-09  1.6000000E-09  0.0000000E+00  1.3733626E-04
  0.0000000E+00  2.8000000E-09  5.6191707E-09  1.1956409E-06  2.2017586E-05  2.2134795E-05  4.4543225E-07  3.8045627E-06  7.5354328E-06  1.3736448E-06  5.6191707E-09  3.1000000E-09  0.0000000E+00  1.3729189E-04
  0.0000000E+00  1.9000000E-09  5.6160105E-09  1.1340386E-06  1.8349605E-05  1.8467059E-05  2.8014409E-07  3.1828598E-06  6.3569911E-06  1.1514676E-06  5.6160105E-09  2.6000000E-09  0.0000000E+00  1.3724736E-04
  0.0000000E+00  8.6000399E-09  5.6129449E-09  1.0855859E-06  1.5472277E-05  1.5588055E-05  1.8157567E-07  2.6936904E-06  5.4207738E-06  9.7650027E-07  5.6129449E-09  8.6000399E-09  0.0000000E+00  1.3720136E-04
  0.0000000E+00  5.9006536E-09  5.6114946E-09  1.0471812E-06  1.3197337E-05  1.3310434E-05  1.2123515E-07  2.3058365E-06  4.6717048E-06  8.3730711E-07  5.6114946E-09  5.9006536E-09  0.0000000E+00  1.3715203E-04
  0.0000000E+00  5.8008600E-09  5.5090623E-09  1.0156846E-06  1.1336346E-05  1.1445871E-05  8.3016817E-08  1.9876476E-06  4.0525660E-06  7.2324698E-07  5.5090623E-09  5.8008600E-09  0.0000000E+00  1.3710253E-04
  0.0000000E+00  5.5014414E-09  5.5084518E-09  9.9964263E-07  9.8008694E-06  9.9063086E-06  5.8260989E-08  1.7243872E-06  3.5370890E-06  6.2896843E-07  5.5084518E-09  5.5014414E-09  0.0000000E+00  1.3705286E-04
  0.0000000E+00  5.4012090E-09  5.5067244E-09  9.7793528E-07  8.5238972E-06  8.6249884E-06  4.1747878E-08  1.5047894E-06  3.1039936E-06  5.4997592E-07  5.5067244E-09  5.4012090E-09  0.0000000E+00  1.3700301E-04
  0.0000000E+00  5.4017309E-09  5.3064100E-09  9.5970626E-07  7.4541075E-06  7.5507611E-06  3.0479765E-08  1.3205681E-06  2.7376205E-06  4.8362870E-07  5.3064100E-09  5.4017309E-09  0.0000000E+00  1.3695296E-04
  0.0000000E+00  5.5011951E-09  5.3051427E-09  9.6430369E-07  6.5517816E-06  6.6440200E-06  2.2883960E-08  1.1647628E-06  2.4257179E-06  4.2744753E-07  5.3051427E-09  5.5011951E-09  0.0000000E+00  1.3690274E-04
  0.0000000E+00  5.2016273E-09  5.5049722E-09  9.5121278E-07  5.7858957E-06  5.8738147E-06  1.7617160E-08  1.0321693E-06  2.1585174E-06  3.7968256E-07  5.5049722E-09  5.2016273E-09  0.0000000E+00  1.3685235E-04
  0.0000000E+00  4.7021967E-09  5.8049024E-09  9.4000850E-07  5.1319913E-06  5.2157337E-06  1.4083358E-08  9.1867226E-07  1.9288633E-06  3.3869644E-07  5.8049024E-09  4.7021967E-09  0.0000000E+00  1.3680173E-04
  0.0000000E+00  5.1014619E-09  5.6038874E-09  9.3036677E-07  4.5706296E-06  4.6503657E-06  1.1318300E-08  8.2099245E-07  1.7300685E-06  3.0338031E-07  5.6038874E-09  5.1014619E-09  0.0000000E+00  1.3675096E-04
  0.0000000E+00  4.7018806E-09  5.7039388E-09  9.2202786E-07  4.0862448E-06  4.1621603E-06  9.0338540E-09  7.3650241E-07  1.5571691E-06  2.7279925E-07  5.7039388E-09  4.7018806E-09  0.0000000E+00  1.3669999E-04
  0.0000000E+00  4.1023773E-09  5.6041071E-09  9.1478138E-07  3.6662741E-06  3.7385603E-06  7.4592179E-09  6.6307341E-07  1.4061198E-06  2.4619312E-07  5.6041071E-09  4.1023773E-09  0.0000000E+00  1.3664881E-04
  0.0000000E+00  4.8015249E-09  5.7031618E-09  9.0847360E-07  3.3005093E-06  3.3693590E-06  6.0859788E-09  5.9897176E-07  1.2736056E-06  2.2294152E-07  5.7031618E-09  4.8015249E-09  0.0000000E+00  1.3659745E-04
  0.0000000E+00  4.1018771E-09  5.6032882E-09  9.0294426E-07  2.9806083E-06  3.0462102E-06  5.5318038E-09  5.4278136E-07  1.1568973E-06  2.0253976E-07  5.6032882E-09  4.1018771E-09  0.0000000E+00  1.3654590E-04
  0.0000000E+00  4.1021996E-09  5.7033934E-09  8.9807760E-07  2.6997052E-06  2.7622421E-06  4.6724661E-09  4.9333093E-07  1.0537287E-06  1.8456770E-07  5.7033934E-09  4.1021996E-09  0.0000000E+00  1.3649417E-04
  0.0000000E+00  4.3025924E-09  5.7035831E-09  8.9377832E-07  2.4521196E-06  2.5117663E-06  4.1585588E-09  4.4965069E-07  9.6221095E-07  1.6867787E-07  5.7035831E-09  4.3025924E-09  0.0000000E+00  1.3644222E-04
  0.0000000E+00  4.0016972E-09  5.8026578E-09  8.8996682E-07  2.2331245E-06  2.2901498E-06  3.5890883E-09  4.1093082E-07  8.8075959E-07  1.5457895E-07  5.8026578E-09  4.0016972E-09  0.0000000E+00  1.3639008E-04
  0.0000000E+00  4.3019632E-09  5.7027954E-09  8.8657682E-07  2.0387715E-06  2.0932343E-06  3.2600630E-09  3.7649695E-07  8.0794855E-07  1.4203032E-07  5.7027954E-09  4.3019632E-09  0.0000000E+00  1.3633773E-04
  0.0000000E+00  4.2022385E-09  5.7029013E-09  8.8355213E-07  1.8657396E-06  1.9177878E-06  2.9953697E-09  3.4577761E-07  7.4286709E-07  1.3082584E-07  5.7029013E-09  4.2022385E-09  0.0000000E+00  1.3628519E-04
  2.8000000E-09  4.0025904E-09  5.6030730E-09  8.8084539E-07  1.7113276E-06  1.7609985E-06  2.7810219E-09  3.1819199E-07  6.8442799E-07  1.2079210E-07  5.6030730E-09  4.0025904E-09  2.8000000E-09  1.3623244E-04
  2.8001316E-09  3.8030154E-09  5.4032522E-09  8.7846349E-07  1.5732850E-06  1.6209764E-06  2.8067583E-09  2.9367648E-07  6.3188918E-07  1.1186461E-07  5.4032522E-09  3.8030154E-09  2.8001316E-09  1.3617267E-04
  2.1003329E-09  4.1018275E-09  5.4023225E-09  8.9629503E-07  1.4498662E-06  1.4955491E-06  2.4974563E-09  2.7163895E-07  5.8471874E-07  1.0380632E-07  5.4023225E-09  4.1018275E-09  2.1003329E-09  1.3610011E-04
  2.4005912E-09  3.8020629E-09  5.4024507E-09  8.9433301E-07  1.3384224E-06  1.3823031E-06  2.3735596E-09  2.5170179E-07  5.4191682E-07  9.6511163E-08  5.4024507E-09  3.8020629E-09  2.4005912E-09  1.3602724E-04
  2.5008478E-09  3.7023681E-09  5.3025712E-09  8.9255359E-07  1.2375755E-06  1.2796535E-06  2.2702086E-09  2.3362563E-07  5.0282142E-07  8.9892139E-08  5.3025712E-09  3.7023681E-09  2.5008478E-09  1.3595401E-04
  2.4011603E-09  3.7026774E-09  5.3027156E-09  8.9093655E-07  1.1461306E-06  1.1865005E-06  2.2838210E-09  2.1720366E-07  4.6740249E-07  8.3874553E-08  5.3027156E-09  3.7026774E-09  2.4011603E-09  1.3588044E-04
  2.4014561E-09  2.9030122E-09  5.1028828E-09  8.8946420E-07  1.0630483E-06  1.1017987E-06  2.2115455E-09  2.0225550E-07  4.3507687E-07  7.8393216E-08  5.1028828E-09  2.9030122E-09  2.4014561E-09  1.3580654E-04
  2.4017846E-09  2.8033644E-09  5.0030700E-09  8.8812110E-07  9.8752163E-07  1.0246361E-06  2.1511161E-09  1.8862359E-07  4.0552302E-07  7.3292339E-08  5.0030700E-09  2.8033644E-09  2.4017846E-09  1.3573228E-04
  2.4012544E-09  4.0020064E-09  5.1021158E-09  8.8689352E-07  9.1855513E-07  9.5421246E-07  1.9323141E-09  1.7616832E-07  3.7845652E-07  6.8721672E-08  5.1021158E-09  4.0020064E-09  2.4012544E-09  1.3565766E-04
  2.4014855E-09  3.4022583E-09  5.1022511E-09  8.8576994E-07  8.5555499E-07  8.8982958E-07  1.8846463E-09  1.6477109E-07  3.5363064E-07  6.4537027E-08  5.1022511E-09  3.4022583E-09  2.4014855E-09  1.3558269E-04
  2.4017092E-09  2.7025147E-09  5.0023799E-09  8.9473998E-07  7.9790738E-07  8.3086926E-07  1.8442933E-09  1.5432362E-07  3.3082351E-07  6.0698545E-08  5.0023799E-09  2.7025147E-09  2.4017092E-09  1.3550736E-04
  2.4019488E-09  2.7027933E-09  5.0025136E-09  8.9379437E-07  7.4507235E-07  7.7678749E-07  1.8101408E-09  1.4473151E-07  3.0983972E-07  5.7172044E-08  5.0025136E-09  2.7027933E-09  2.4019488E-09  1.3543165E-04
  2.4021930E-09  2.7030647E-09  4.8026421E-09  8.9292455E-07  6.9657283E-07  7.2710322E-07  1.7813013E-09  1.3591119E-07  2.9050573E-07  5.3927219E-08  4.8026421E-09  2.7030647E-09  2.4021930E-09  1.3535558E-04
  2.4024689E-09  2.5033587E-09  4.6028058E-09  9.0212352E-07  6.5198614E-07  6.8139027E-07  1.7571178E-09  1.2778857E-07  2.7266705E-07  5.0937219E-08  4.6028058E-09  2.5033587E-09  2.4024689E-09  1.3527915E-04
  2.4027389E-09  2.5036559E-09  4.6029814E-09  9.0138470E-07  6.1093735E-07  6.3927023E-07  1.8370776E-09  1.2029775E-07  2.5618597E-07  4.8178108E-08  4.6029814E-09  2.5036559E-09  2.4027389E-09  1.3520232E-04
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 'End:'
pythia8-8.1.86.orig/xmldoc/Diffraction.xml0000444000175000017500000004345212357055016016611 0ustar  sunsun 
 

    Diffraction
     
 

    Introduction
     
 
Diffraction is not well understood, and several alternative approaches 
have been proposed. Here we follow a fairly conventional Pomeron-based 
one, in the Ingelman-Schlein spirit Ing85, 
but integrated to make full use of the standard PYTHIA machinery 
for multiparton interactions, parton showers and hadronization 
Nav10,Cor10a. This is the approach pioneered in the PomPyt 
program by Ingelman and collaborators Ing97. 
 

     
For ease of use (and of modelling), the Pomeron-specific parts of the 
generation are subdivided into three sets of parameters that are rather 
independent of each other: 

    (i) the total, elastic and diffractive cross sections are 
parametrized as functions of the CM energy, or can be set by the user 
to the desired values, see the 
Total Cross Sections page; 

    (ii) once it has been decided to have a diffractive process, 
a Pomeron flux parametrization is used to pick the mass of the 
diffractive system(s) and the t of the exchanged Pomeron, 
see below; 

    (iii) a diffractive system of a given mass is classified either 
as low-mass unresolved, which gives a simple low-pT string 
topology, or as high-mass resolved, for which the full machinery of 
multiparton interactions and parton showers are applied, making use of 
Pomeron PDFs. 

    The parameters related to multiparton interactions, parton showers 
and hadronization are kept the same as for normal nondiffractive events, 
with only one exception. This may be questioned, especially for the 
multiparton interactions, but we do not believe that there are currently 
enough good diffractive data that would allow detailed separate tunes. 
  

     
The above subdivision may not represent the way "physics comes about". 
For instance, the total diffractive cross section can be viewed as a 
convolution of a Pomeron flux with a Pomeron-proton total cross section. 
Since neither of the two is known from first principles there will be 
a significant amount of ambiguity in the flux factor. The picture is 
further complicated by the fact that the possibility of simultaneous 
further multiparton interactions ("cut Pomerons") will screen the rate of 
diffractive systems. In the end, our set of parameters refers to the 
effective description that emerges out of these effects, rather than 
to the underlying "bare" parameters. 
  

     
In the event record the diffractive system in the case of an excited 
proton is denoted p_diffr, code 9902210, whereas 
a central diffractive system is denoted rho_diffr, 
code 9900110. Apart from representing the correct charge and baryon 
numbers, no deeper meaning should be attributed to the names. 
 

    Pomeron flux
     
 
As already mentioned above, the total diffractive cross section is fixed 
by a default energy-dependent parametrization or by the user, see the 
Total Cross Sections page. 
Therefore we do not attribute any significance to the absolute 
normalization of the Pomeron flux. The choice of Pomeron flux model 
still will decide on the mass spectrum of diffractive states and the 
t spectrum of the Pomeron exchange. 
 
 
Parametrization of the Pomeron flux f_Pom/p( x_Pom, t). 
 
 
 
 
 
 
 

     
In options 3 and 4 above, the Pomeron Regge trajectory is 
parametrized as 
 
alpha(t) = 1 + epsilon + alpha' t 
 
The epsilon and alpha' parameters can be set 
separately: 
 
 
The Pomeron trajectory intercept epsilon above. For technical 
reasons epsilon > 0 is necessary in the current implementation. 
 
 
The Pomeron trajectory slope alpha' above. 
 

     
When option 5 is selected, the following parameters of the MBR model 
Cie12 are used: 
 
 
 
the parameters of the Pomeron trajectory. 
 
 
 
 
the Pomeron-proton coupling, and the total Pomeron-proton cross section. 
 
 
 
the lowest value of the mass squared of the dissociated system. 
 

 
 
 
the minimum width of the rapidity gap used in the calculation of 
Ngap(s) (flux renormalization). 
 
 
 
 
 
the minimum width of the rapidity gap used in the calculation of cross 
sections, i.e. the parameter dy_S, which suppresses the cross 
section at low dy (non-diffractive region). 
 
 
 
 
 
the parameter sigma_S, used for the cross section suppression at 
low dy (non-diffractive region). 
 
 

    Separation into low and high masses
     
 
Preferably one would want to have a perturbative picture of the 
dynamics of Pomeron-proton collisions, like multiparton interactions 
provide for proton-proton ones. However, while PYTHIA by default 
will only allow collisions with a CM energy above 10 GeV, the 
mass spectrum of diffractive systems will stretch to down to 
the order of 1.2 GeV. It would not be feasible to attempt a 
perturbative description there. Therefore we do offer a simpler 
low-mass description, with only longitudinally stretched strings, 
with a gradual switch-over to the perturbative picture for higher 
masses. The probability for the latter picture is parametrized as 
 
P_pert = P_max ( 1 - exp( (m_diffr - m_min) / m_width ) ) 
 
which vanishes for the diffractive system mass 
m_diffr < m_min, and is 1 - 1/e = 0.632 for 
m_diffr = m_min + m_width, assuming P_max = 1. 
 
 
The abovementioned threshold mass m_min for phasing in a 
perturbative treatment. If you put this parameter to be bigger than 
the CM energy then there will be no perturbative description at all, 
but only the older low-pt description. 
 
 
 
The abovementioned threshold width m_width. 
 
 
 
The abovementioned maximum probability P_max.. Would 
normally be assumed to be unity, but a somewhat lower value could 
be used to represent a small nonperturbative component also at 
high diffractive masses. 
 
 

    Low-mass diffraction
     
 
When an incoming hadron beam is diffractively excited, it is modeled 
as if either a valence quark or a gluon is kicked out from the hadron. 
In the former case this produces a simple string to the leftover 
remnant, in the latter it gives a hairpin arrangement where a string 
is stretched from one quark in the remnant, via the gluon, back to the 
rest of the remnant. The latter ought to dominate at higher mass of 
the diffractive system. Therefore an approximate behaviour like 
 
P_q / P_g = N / m^p 
 
is assumed. 
 
 
The abovementioned normalization N for the relative quark 
rate in diffractive systems. 
 
 
 
The abovementioned mass-dependence power p for the relative 
quark rate in diffractive systems. 
 
 

     
When a gluon is kicked out from the hadron, the longitudinal momentum 
sharing between the the two remnant partons is determined by the 
same parameters as above. It is plausible that the primordial 
kT may be lower than in perturbative processes, however: 
 
 
The width of Gaussian distributions in p_x and p_y 
separately that is assigned as a primordial kT to the two 
beam remnants when a gluon is kicked out of a diffractive system. 
 
 
 
The choice of longitudinal and transverse structure of a diffractive 
beam remnant for a kicked-out gluon implies a remnant mass 
m_rem distribution (i.e. quark plus diquark invariant mass 
for a baryon beam) that knows no bounds. A suppression like 
(1 - m_rem^2 / m_diff^2)^p is therefore introduced, where 
p is the diffLargeMassSuppress parameter. 
 
 

    High-mass diffraction
     
 
The perturbative description need to use parton densities of the 
Pomeron. The options are described in the page on 
PDF Selection. The standard 
perturbative multiparton interactions framework then provides 
cross sections for parton-parton interactions. In order to 
turn these cross section into probabilities one also needs an 
ansatz for the Pomeron-proton total cross section. In the literature 
one often finds low numbers for this, of the order of 2 mb. 
These, if taken at face value, would give way too much activity 
per event. There are ways to tame this, e.g. by a larger pT0 
than in the normal pp framework. Actually, there are many reasons 
to use a completely different set of parameters for MPI in 
diffraction than in pp collisions, especially with respect to the 
impact-parameter picture, see below. A lower number in some frameworks 
could alternatively be regarded as a consequence of screening, with 
a larger "bare" number. 
 

     
For now, however, an attempt at the most general solution would 
carry too far, and instead we patch up the problem by using a 
larger Pomeron-proton total cross section, such that average 
activity makes more sense. This should be viewed as the main 
tunable parameter in the description of high-mass diffraction. 
It is to be fitted to diffractive event-shape data such as the average 
charged multiplicity. It would be very closely tied to the choice of 
Pomeron PDF; we remind that some of these add up to less than unit 
momentum sum in the Pomeron, a choice that also affect the value 
one ends up with. Furthermore, like with hadronic cross sections, 
it is quite plausible that the Pomeron-proton cross section increases 
with energy, so we have allowed for a power-like dependence on the 
diffractive mass. 
 
 
The assumed Pomeron-proton effective cross section, as used for 
multiparton interactions in diffractive systems. If this cross section 
is made to depend on the mass of the diffractive system then the above 
value refers to the cross section at the reference scale, and 
 
sigma_PomP(m) = sigma_PomP(m_ref) * (m / m_ref)^p 
 
where m is the mass of the diffractive system, m_ref 
is the reference mass scale Diffraction:mRefPomP below and 
p is the mass-dependence power Diffraction:mPowPomP. 
Note that a larger cross section value gives less MPI activity per event. 
There is no point in making the cross section too big, however, since 
then pT0 will be adjusted downwards to ensure that the 
integrated perturbative cross section stays above this assumed total 
cross section. (The requirement of at least one perturbative interaction 
per event.) 
 
 
 
The mRef reference mass scale introduced above. 
 
 
 
The p mass rescaling pace introduced above. 
 
 

     
Also note that, even for a fixed CM energy of events, the diffractive 
subsystem will range from the abovementioned threshold mass 
m_min to the full CM energy, with a variation of parameters 
such as pT0 along this mass range. Therefore multiparton 
interactions are initialized for a few different diffractive masses, 
currently five, and all relevant parameters are interpolated between 
them to obtain the behaviour at a specific diffractive mass. 
Furthermore, A B → X B and A B → A X are 
initialized separately, to allow for different beams or PDF's on the 
two sides. These two aspects mean that initialization of MPI is 
appreciably slower when perturbative high-mass diffraction is allowed. 
 

     
Diffraction tends to be peripheral, i.e. occur at intermediate impact 
parameter for the two protons. That aspect is implicit in the selection 
of diffractive cross section. For the simulation of the Pomeron-proton 
subcollision it is the impact-parameter distribution of that particular 
subsystem that should rather be modeled. That is, it also involves 
the transverse coordinate space of a Pomeron wavefunction. The outcome 
of the convolution therefore could be a different shape than for 
nondiffractive events. For simplicity we allow the same kind of 
options as for nondiffractive events, except that the 
bProfile = 4 option for now is not implemented. 
 
 
Choice of impact parameter profile for the incoming hadron beams. 
 
 
 
 
 
 
 
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a radius that is a factor 
coreRadius smaller than the rest. 
 
 
 
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a fraction coreFraction 
of the matter content of the hadron. 
 
 
 
When bProfile = 3 it gives the power of the assumed overlap 
shape exp(- b^expPow). Default corresponds to a simple 
exponential drop, which is not too dissimilar from the overlap 
obtained with the standard double Gaussian parameters. For 
expPow = 2 we reduce to the simple Gaussian, bProfile = 1, 
and for expPow → infinity to no impact parameter dependence 
at all, bProfile = 0. For small expPow the program 
becomes slow and unstable, so the min limit must be respected. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/AdvancedUsage.xml0000444000175000017500000002565612357055014017057 0ustar  sunsun 
 

    Advanced Usage
     
 
On this page we collect information on a number of classes that 
the normal user would not encounter. There are cases where the 
information is essential, however, for instance to 
implement your own showers. 
 

    The subsystems
     
 
One aspect that complicates administration is that an event 
can contain several subsystems, each consisting of one MPI and its 
associated ISR and FSR. To first approximation these systems are 
assumed to evolve independently, but to second they are connected by 
the interleaved evolution, and potentially by rescattering effects. 
The partons of a given subsystem therefore do not have to be stored 
consecutively. 
 

     
The PartonSystems class is primarily used to keep track 
of the current positions of all partons belonging to each system, 
represented by the index iPos for a parton stored in the 
event-record slot event[iPos]. With "all" we mean the 
currently defined two incoming partons, or none for a resonance decay, 
and the current set of outgoing partons, but with all ISR and FSR 
intermediate-state partons omitted. That is, it stores all partons 
that could be subject to some action in the next step of the 
combined MPI/ISR/FSR/BR description. As a special case, an outgoing 
parton is stored even if it undergoes a rescattering, and thus no 
longer belongs to the final state proper. 
 

     
The partonSystems instance of PartonSystems 
class is a public member of the Pythia top-level class, 
but is also available as a pointer partonSystemsPtr in 
various PartonLevel classes, e.g. inside the current 
instances of the TimeShower and SpaceShower 
classes. 
 

     
A number of PartonSystems methods can be used to set or 
get information on the subsystems: 

       

    • clear() resets all the contents in preparation for the 
next event. 

    • addSys() add a new (initially empty) subsystem to the 
current list and return its index iSys in the list, 
where index 0 is the hardest subcollision and so on. 

    • sizeSys() the number of separate subsystems.
      •  

    • setInA(iSys, iPos), setInB(iSys, iPos) store position 
iPos of the incoming parton from beam A or beam B to the 
iSys'th subcollision. These values are 0 initially, and 
should so remain if there are no beams, such as in resonance decays. 

      •  

    • addOut(iSys, iPos) store position iPos 
of a new outgoing parton in the iSys'th subcollision, 
by appending it at the end of the current vector, with beginning in 
slot 0.
      •  

    • setOut(iSys, iMem, iPos) store position iPos 
in the iMem'th slot in the vector of outgoing partons in the 
iSys'th subcollision. Here iMem must be in 
the range already constructed by addOut calls. 
      •  

    • replace(iSys, iPosOld, iPosNew) replace the existing 
incoming or outgoing parton position iPosOld by 
iPosNew in the iSys'th subcollision.
      •  

    • setSHat(iSys, sHat) set the invariant squared mass 
sHat of the iSys'th subcollision.
      •  

    • hasInAB(iSys) true if an incoming parton has been set 
for beam A or beam B (and hence should have been set for both) in the 
iSys'th subcollision, else false.
      •  

    • getInA(iSys), getInB(iSys) the position iPos 
of the incoming parton from beam A or beam B to the iSys'th 
subcollision.
      •  

    • sizeOut(iSys) the number of outgoing partons 
in the iSys'th subcollision.
      •  

    • getOut(iSys, iMem) the position iPos 
of an outgoing parton in the iSys'th subcollision, 
with the iMem range limited by sizeOut(iSys). 
These partons are not guaranteed to appear in any particular order. 
      •  

    • sizeAll(iSys) the total number of incoming and outgoing 
partons in the iSys'th subcollision.
      •  

    • getAll(iSys, iMem) the position iPos 
of an incoming or outgoing parton in the iSys'th subcollision. 
In case there are beams it gives same as getInA(iSys)  and 
 getInB(iSys) for indices 0 and 1, and thereafter agrees with 
getOut(iSys, iMem) offset two positions. If there are no 
beams it is identical with getOut(iSys, iMem).
      •  

    • getSHat(iSys) the invariant squared mass 
sHat of the iSys'th subcollision.
      •  

    • list() print a listing of all the system information, 
except for the sHat values.
      •  

     
 

     
New systems are created from the hard process and by the MPI, not from 
any of the other components. Both FSR and ISR modify the position 
of partons, however. Since an FSR or ISR branching typically implies 
a new state with one more parton than before, an outgoing parton must 
be added to the system. Furthermore, in a branching, several existing 
partons may also be moved to new slots, including the incoming beam ones. 
In a FSR 1 → 2 branching it is irrelevant which parton position 
you let overwrite the existing slot and which is added to the end of 
the system. 
 

     
The system information must be kept up-to-date. Both the MPI, ISR, FSR and 
BR descriptions make extensive use of the existing information. As an 
example, the introduction of primordial kT in the beam remnants 
will fail if the information on which final-state partons belong to which 
system is out-of-date. The introduction of rescattering as part of the 
MPI framework adds further complications, where an outgoing parton of one 
subsystem may be the incoming one of another system. This part of the code 
is still under development. 
 

     
Currently the system information is kept throughout the continued 
history of the event. Specifically, resonance decays create new systems, 
appended to the existing ones. This could be useful during the 
hadronization stage, to collect the partons that belong to a resonance 
with preserved mass when a small string collapses to one particle, 
but is not yet used for that. 
 

    The beams
     
   
The different subsystems are tied together by them sharing the same 
initial beam particles, and thereby being restricted by energy-momentum 
and flavour conservation issues. The information stored in the two 
beam particles, here called beamA and beamB, 
is therefore as crucial to keep correct as the above subsystem list. 
 

     
Both beam objects are of the BeamParticle class. 
Each such object contains a vector with the partons extracted from it. 
The number of such partons, beamX.size() (X = A or B), 
of course is the same as the above number of subsystems in the event 
record. (The two diverge at the BR step, where further beam remnants 
are added to the beams without corresponding to new subsystems.) 
The individual partons are accessed by an overloaded indexing 
operator to a vector of ResolvedParton objects. The 
iPos() property corresponds to the iPos 
one above, i.e. providing the position in the main event record of 
a parton. In particular, 
beamA[iSys].iPos() = partonSystemsPtr->getInA(iSys) and 
beamB[iSys].iPos() = partonSystemsPtr->getInB(iSys). 
Whereas thus the indices of the two incoming partons to a subsystem 
are stored in two places, the ones of the outgoing partons only 
appear in the system part of the PartonSystems class. 
 

     
Just as the subsystems in PartonSystems must be updated, 
so must the information in the two BeamParticle's, e.g. 
with methodsbeamX[iSys].iPos( iPosIn) when an incoming 
parton is replaced by a new one in line iPosIn. Furthermore 
the new parton identity should be set by beamX[iSys].id( idIn) 
and the new x energy-momentum fraction by 
beamX[iSys].x( xIn). The three can be combined in one go 
by beamX[iSys].update( iPosIn, idIn, xIn). 
 

     
To be specific, it is assumed that, at each step, the two incoming 
partons are moving along the +-z axis and are massless. 
Since the event is constructed in the c.m. frame of the incoming 
beams this implies that x = 2 E / E_cm. 
If the x values are not defined accordingly or not kept 
up-to-date the BR treatment will not conserve energy-momentum. 
  

     
In return, the BeamParticle objects give access to some 
useful methods. The beamX.xf( id, x, Q2) returns the 
standard PDF weight x f_id(x, Q^2). More interestingly, 
beamX.xfISR( iSys, id, x, Q2) returns the modified weight 
required when several subsystems have to share the energy and flavours. 
Thus iSys is added as an extra argument, and the momentum 
already assigned to the other subsystems is not available for evolution, 
i.e. the maximal x is correspondingly smaller than unity. 
Also flavour issues are handled in a similar spirit. 
  

     
An additional complication is that a parton can be either valence or 
sea, and in the latter case the BR treatment also distinguishes 
companion quarks, i.e. quark-antiquark pairs that are assumed to 
come from the same original g → q qbar branching, whether 
perturbative or not. This can be queried either with the 
beamX[iSys].companion() method, for detailed information, 
or with the beamX[iSys].isValence(), 
beamX[iSys].isUnmatched() and 
beamX[iSys].isCompanion() methods for yes/no answers 
whether a parton is valence, unmatched sea or matched sea. 
This choice should affect the ISR evolution; e.g., a valence quark 
cannot be constructed back to come from a gluon. 
  

     
To keep this info up-to-date, the beamX.pickValSeaComp() 
method should be called whenever a parton of a new flavour has been 
picked in the ISR backwards evolution, but not if the flavour has not 
been changed, since then one should not be allowed to switch back and 
forth between the same quark being considered as valence or as sea. 
Since the pickValSeaComp() method makes use of the 
current parton-density values, it should be preceded by a call 
to beamX.xfISR( iSys, id, x, Q2), where the values in 
the call are the now finally accepted ones for the newly-found mother. 
(Such a call is likely to have been made before, during the evolution, 
but is not likely to be the most recent one, i.e. still in memory, and 
therefore had better be redone.) 
      
 
 
 
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\begin{document}
 
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\begin{flushright}
For tutorials\\
at Summer Schools\\
or self-study\\
January 2014
\end{flushright}

\vspace{-28mm}
\includegraphics[width=40mm]{lejon2.eps}%
\hspace{30mm}%
\raisebox{4mm}[0mm][0mm]{\includegraphics[width=20mm]{pythiapicture.eps}}

\begin{center}
{\LARGE\bf PYTHIA 8 Worksheet}\\[10mm]
{\large Torbj\"orn Sj\"ostrand}\\[1mm]
Department of Astronomy and Theoretical Physics, Lund University\\[4mm]
{\large Peter Skands}\\[1mm]
Theoretical Physics, CERN\\[4mm]
{\large Stefan Prestel}\\[1mm]
Theory group, DESY
\end{center}

\vspace*{5mm}

\section{Introduction}

The \textsc{Pythia}~8.1 program is a standard tool for the generation of
high-energy collisions (specifically, it focuses on centre-of-mass
energies greater than about 10 GeV), comprising a coherent set of
physics models for the evolution from a few-body high-energy (``hard'')
scattering process to a complex multihadronic final state. The
particles are produced in vacuum. Simulation of the interaction of the
produced particles with detector material is not included in
\textsc{Pythia} but can, if needed, be done by interfacing to external 
detector-simulation codes.

The \textsc{Pythia}~8.1 code package contains a library of hard
interactions and models for initial- and final-state parton showers,
multiple parton-parton interactions, beam remnants, string
fragmentation and particle decays. It also has a set of utilities and
interfaces to external programs.

The objective of this exercise is to teach you the basics of how to
use the \textsc{Pythia}~8.1 event generator to study various physics
aspects.  As you become more familiar you will better understand the
tools at your disposal, and can develop your own style to use
them. Within this first exercise it is not possible to describe the
physics models used in the program; for this we refer to the
\textsc{Pythia}~8.1 brief introduction \cite{pythiaeight}, to the full
\textsc{Pythia}~6.4 physics description \cite{pythiasix}, and to all
the further references found in them.

\textsc{Pythia}~8 is, by today's standards, a small package.
It is completely self-contained, and is therefore easy to install for
standalone usage, e.g. if you want to have it on your own laptop,
or if you want to explore physics or debug code without any danger 
of destructive interference between different libraries. Section 2 
describes the installation procedure, which is what we will need for 
this introductory session. It does presuppose a working Unix-style
environment with C++ compilers and the like; check Appendix~D if in doubt.

When you use \textsc{Pythia} you are expected to write the main program
yourself, for maximal flexibility and power. Several examples of such
main programs are included with the code, to illustrate common tasks
and help getting started. Section 3 gives you a simple step-by-step 
recipe how to write a minimal main program, that can then gradually 
be expanded in different directions, e.g.\ as in Section 4.

In Section 5 you will see how the parameters of a run can be read in 
from a file, so that the main program can be kept fixed. Many of the 
provided main programs therefore allow you to create executables that 
can be used for different physics studies without recompilation,
but potentially at the cost of some flexibility.  

The final three sections provide suggestions for optional further studies,
and can be addressed in any order. Section 6 deals with the important 
topic of merging of external matrix-element input of different orders,
introducing the {\smaller CKKW-L} scheme as a suitable starting point.
Section 7 describes how you can explore various physics aspects of the
Standard Model Higgs production and decay. Section 8, finally, collects
suggestions for a few diverse studies.    

While \textsc{Pythia} can be run standalone, it can also be interfaced 
with a set of other libraries. One example is \textsc{HepMC}, which 
is the standard format used by experimentalists to store generated 
events. Since the \textsc{HepMC} library location is 
installation-dependent it is not possible to give a fool-proof linking 
procedure, but some hints are provided for the interested in Appendix~C. 
Further main programs included with the \textsc{Pythia} code provide 
examples of linking, e.g., to \textsc{AlpGen}, \textsc{MadGraph}, 
\textsc{PowHeg}, \textsc{FastJet}, \textsc{ProMC}, \textsc{Root},
and the Les Houches Accords LHEF, LHAPDF and SLHA.

Appendix~A contains a brief summary of the event-record structure, 
and Appendix~B some notes on simple histogramming and jet finding.
Appendices C and D have already been mentioned.

\section{Installation \label{sec:installation}}

Denoting a generic \textsc{Pythia}~8 version \texttt{pythia81xx}
(at the time of writing \texttt{xx} = 83), here is how to install 
\textsc{Pythia}~8 on a Linux/Unix/MacOSX system as a standalone package
(assuming you have standard Unix-family tools installed, see Appendix~D). 

\begin{Enumerate}
\item In a browser, go to\\
\hspace*{10mm}\texttt{http://home.thep.lu.se/$\sim$torbjorn/Pythia.html}
\item Download the (current) program package\\
\hspace*{10mm}\texttt{pythia81xx.tgz}\\
to a directory of your choice (e.g. by right-clicking on the link).
\item In a terminal window, \texttt{cd} to where \texttt{pythia81xx.tgz} 
was downloaded, and type\\
\hspace*{10mm}\texttt{tar xvfz pythia81xx.tgz}\\
This will create a new (sub)directory \texttt{pythia81xx} where all
the \textsc{Pythia} source files are now ready and unpacked.
\item Move to this directory (\texttt{cd pythia81xx}) and do a
\texttt{make}. This will take $\sim$3 minutes
(computer-dependent). The \textsc{Pythia}~8 libraries are now
compiled and ready for physics. 
\item For test runs, \texttt{cd} to the \texttt{examples/} subdirectory. 
An \texttt{ls} reveals a list of programs, \texttt{mainNN}, with
\texttt{NN} from \texttt{01} through \texttt{28} (and beyond). These 
example programs each illustrate an aspect of \textsc{Pythia}~8. 
For a list of what they do, see the ``Sample Main Programs'' page 
in the online manual (point 6 below).\\ 
Initially only use one or two of them to check that the installation
 works. Once you have worked your way though the introductory exercises 
in the next sections you can return and study the programs and their 
output in more detail.\\
To execute one of the test programs, do\\
\hspace*{10mm}\texttt{make mainNN}\\
\hspace*{10mm}\texttt{./mainNN.exe}\\
The output is now just written to the terminal, \texttt{stdout}. 
To save the output to a file instead, do 
\texttt{./mainNN.exe >  mainNN.out}, after which you can study the 
test output at leisure by opening \texttt{mainNN.out}. See Appendix~A 
for an explanation of the event record that is listed in several of 
the runs.
\item If you use a web browser to open the file\\
\hspace*{10mm}\texttt{pythia81xx/htmldoc/Welcome.html}\\
you will gain access to the online manual, where all available methods 
and parameters are described. Use the left-column index to navigate among 
the topics, which are then displayed in the larger right-hand field. 
\end{Enumerate}

\section{A ``Hello World'' program}

We will now generate a single $\g \g \to \t \tbar$ event at the LHC,
using \textsc{Pythia} standalone.

Open a new file \texttt{mymain.cc} in the \texttt{examples} subdirectory 
with a text editor, e.g.\ Emacs. Then type the following lines 
(here with explanatory comments added):
\begin{verbatim}
     // Headers and Namespaces.
     #include "Pythia8/Pythia.h" // Include Pythia headers.
     using namespace Pythia8;    // Let Pythia8:: be implicit.

     int main() {                // Begin main program.

       // Set up generation.
       Pythia pythia;            // Declare Pythia object
       pythia.readString("Top:gg2ttbar = on"); // Switch on process.
       pythia.readString("Beams:eCM = 8000."); // 8 TeV CM energy.      
       pythia.init(); // Initialize; incoming pp beams is default.

       // Generate event(s).
       pythia.next(); // Generate an(other) event. Fill event record.

       return 0;
     }                // End main program with error-free return.
\end{verbatim}

Next you need to edit the \texttt{Makefile} (the one in the \texttt{examples} 
subdirectory) so it knows what to do with \texttt{mymain.cc}.
The lines\\
\hspace*{10mm}\texttt{\# Create an executable for one of the normal test 
programs}\\
\hspace*{10mm}\texttt{main00  main01 main02 main03 ... main09 main10 
main10}~\verb+\+ \\
and the four next enumerate the main programs that do not need any 
external libraries. Edit the last of these lines to include also 
\texttt{mymain}:\\
\hspace*{10mm}\texttt{main80 mymain:}~\verb+\+

Now it should work as before with the other examples:\\
\hspace*{10mm}\texttt{make mymain}\\
\hspace*{10mm}\texttt{./mymain.exe > mymain.out}\\
whereafter you can study \texttt{mymain.out}, especially the 
example of a complete event record (preceded by initialization information,
and by kinematical-variable and hard-process listing for the same event). 
At this point you need to turn to Appendix~A for a brief overview of the 
information stored in the event record. 

An important part of the event record is that many copies of the same
particle may exist, but only those with a positive status code are still
present in the final state. To exemplify, consider a top quark
produced in the hard interaction, initially with positive status code. When
later a shower branching $\t \to \t \g$ occurs, the new $\t$ and $\g$ are
added at the bottom of the then-current event record, but the old $\t$ is
not removed. It is marked as decayed, however, by negating its status code.
At any stage of the shower there is thus only one ``current'' copy of the
top. After the shower, when the final top decays, $\t \to \b \W^+$, also
that copy receives a negative status code. When you understand the basic
principles, see if you can find several copies of the top quarks, and check
the status codes to figure out why each new copy has been added. Also note
how the mother/daughter indices tie together the various copies.

\section{A first realistic analysis}

We will now gradually expand the skeleton \texttt{mymain} program from
above, towards what would be needed for a more realistic analysis setup.
\begin{Itemize}
\item Often, we wish to mix several processes together. 
To add the process $\q \qbar \to \t \tbar$ to the above example, 
just include a second \texttt{pythia.readString} call\\
\hspace*{10mm}\texttt{pythia.readString("Top:qqbar2ttbar = on");}
\item Now we wish to generate more than one event. To do this, introduce a
loop around \texttt{pythia.next()}, so the
code now reads\\
\hspace*{10mm}\texttt{for (int iEvent = 0; iEvent < 5; ++iEvent) \{ }\\
\hspace*{10mm}\texttt{~~pythia.next(); }\\
\hspace*{10mm}\texttt{\} }\\
Hereafter, we will call this the \textit{event loop}. The program will
now generate 5 events; each call to \texttt{pythia.next()} 
resets the event record and fills it with a new event. To list
more of the events, you also need to add\\
\hspace*{10mm}\texttt{pythia.readString("Next:numberShowEvent = 5");}\\
along with the other \texttt{pythia.readString} commands. 

\item To obtain statistics on the number of events generated of the 
different kinds, and the estimated cross sections, add a \\
\hspace*{10mm}\texttt{pythia.stat();}\\
just before the end of the program.
\item During the run you may receive problem messages. These come in
three kinds:
\begin{Itemize}
\item a \textit{warning} is a minor problem that is automatically fixed by 
the program, at least approximately;
\item an \textit{error} is a bigger problem, that is normally still 
automatically fixed by the program, by backing up and trying again;
\item an \textit{abort} is such a major problem that the current
 event could not be completed; in such a rare case \texttt{pythia.next()} 
is \texttt{false} and the event should be skipped.  
\end{Itemize}
Thus the user need only be on the lookout for aborts. During event
generation, a problem message is printed only the first time it occurs
(except for a few special cases). 
The above-mentioned \texttt{pythia.stat()} will then tell you how many
times each problem was encountered over the entire run.
\item Studying the event listing for a few events
at the beginning of each run is useful to make sure you are generating the
right kind of events, at the right energies, etc. For real analyses,
however, you need automated access to the event record. The Pythia event
record provides many utilities to make this as simple and efficient as
possible. To access all the particles in the event record, insert the
following loop after \texttt{pythia.next()} (but fully enclosed by the
event loop) \\
\hspace*{10mm}\texttt{for (int i = 0; i < pythia.event.size(); ++i) \{ }\\
\hspace*{10mm}\texttt{~~cout << "i = " << i << ", id = " }\\
\hspace*{10mm}\texttt{~~~~~~~<< pythia.event[i].id() << endl; }\\ 
\hspace*{10mm}\texttt{\} }\\
which we will call the \textit{particle loop}. Inside this loop, you
can access the properties of each particle \texttt{pythia.event[i]}. For
instance, the method \texttt{id()} returns the PDG identity code of a
particle (see Appendix~A.1). The \texttt{cout} statement, therefore, will
give a list of the PDG code of every particle in the event record.
\item As mentioned above, the event listing contains all partons and
particles, traced through a number of intermediate steps. Eventually, the
top will decay ($\t \to \W \b$), and by implication it is the last top copy
in the event record that defines the definitive top production kinematics,
just before the decay. You can obtain the location of this final top 
e.g.\ by a line just before the particle loop \\
\hspace*{10mm}\texttt{int iTop = 0;} \\
and a line inside the particle loop \\
\hspace*{10mm}\texttt{if (pythia.event[i].id() == 6) iTop = i;} \\ 
The value of \texttt{iTop} will be set every time a top is found in the
event record. When the particle loop is complete, \texttt{iTop}
will now point to the final top in the event record (which can be accessed
as \texttt{pythia.event[iTop]}).
\item In addition to the particle properties in the event listing,  
there are also methods that return many derived quantities for a 
particle, such as transverse momentum, \texttt{pythia.event[iTop].pT()},
and pseudorapidity, \texttt{pythia.event[iTop].eta()}. Use these methods
to print out the values for the final top found above. 
\item We now want to generate more events, say 1000, to view the shape
of these distributions. Inside \textsc{Pythia} is a very simple
histogramming class, see Appendix~B.1, that can be used for rapid 
check/debug purposes. To book the histograms, insert before the 
event loop \\
\hspace*{10mm}\texttt{Hist pT("top transverse momentum", 100, 0., 200.);}\\
\hspace*{10mm}\texttt{Hist eta("top pseudorapidity", 100, -5., 5.);}\\
where the last three arguments are the number of bins, the lower edge and
the upper edge of the histogram, respectively. Now we want to fill the
histograms in each event, so before the end of the event loop
insert \\
\hspace*{10mm}\texttt{pT.fill( pythia.event[iTop].pT() );}\\
\hspace*{10mm}\texttt{eta.fill( pythia.event[iTop].eta() );}\\
Finally, to write out the histograms, after the event loop we need
a line like\\
\hspace*{10mm}\texttt{cout << pT << eta;}\\
Do you understand why the $\eta$ distribution looks the way it does?
Propose and study a related but alternative measure and compare.
\item As a final standalone exercise, consider plotting the charged 
multiplicity of events. You then need to have a counter set to zero
for each new event. Inside the particle loop this counter should
be incremented whenever the particle \texttt{isCharged()} and
\texttt{isFinal()}. For the histogram, note that it can be treacherous to
have bin limits at integers, where roundoff errors decide whichever way
they go. In this particular case only even numbers are possible, so 100
bins from $-1$ to 399 would still be acceptable.
\end{Itemize}

\section{Input files}

With the \texttt{mymain.cc} structure developed above it is necessary to
recompile the main program for each minor change, e.g. if you want to
rerun with more statistics. This is not time-consuming for a simple 
standalone run, but may become so for more realistic applications.
Therefore, parameters can be put in special input ``card'' files
that are read by the main program. 

We will now create such a file, with the same settings used in the
\texttt{mymain} example program. Open a new file, \texttt{mymain.cmnd}, and
input the following
\begin{verbatim}
     ! t tbar production at the LHC
     Beams:idA = 2212     ! first incoming beam is a 2212, i.e. a proton.  
     Beams:idB = 2212     ! second beam is also a proton. 
     Beams:eCM = 8000.    ! the cm energy of collisions. 
     Top:gg2ttbar = on    ! switch on the process g g -> t tbar.  
     Top:qqbar2ttbar = on ! switch on the process q qbar -> t tbar.  
\end{verbatim}

The \texttt{mymain.cmnd} file can contain one command per line,
of the type\\
\hspace*{10mm}\texttt{variable = value}\\
All variable names are case-insensitive (the mixing of cases has been
chosen purely to improve readability) and non-alphanumeric characters
(such as !, \# or \$) will be interpreted as the start of a comment. All
valid variables are listed in the online manual (see Section 2, point 6,
above). Cut-and-paste of variable names can be used to avoid spelling
mistakes.

The final step is to modify our program to use this input file. The name of
this input file can be hardcoded in the main program, but for more
flexibility, it can also be provided as a command-line argument. To do
this, replace the \texttt{int main() \{} line by \\
\hspace*{10mm} \texttt{int main(int argc, char* argv[]) \{}\\
and replace all \texttt{pythia.readString(...)} commands with the single
command\\
\hspace*{10mm}\texttt{pythia.readFile(argv[1]);} 

The executable \texttt{mymain.exe} is then run with a command line like\\
\hspace*{10mm}\texttt{./mymain.exe mymain.cmnd > mymain.out}\\
and should give the same output as before.

In addition to all the internal \texttt{Pythia} variables there exist a
few defined in the database but not actually used. These are intended to 
be useful in the main program, and thus begin with \texttt{Main:}.
The most basic of those is \texttt{Main:numberOfEvents}, which you can 
use to specify how many events you want to generate. To make this have
any effect, you need to read it in the main program, after
the \texttt{pythia.readFile(...)} command, by a line like\\
\hspace*{10mm}\texttt{int nEvent = pythia.mode("Main:numberOfEvents");}\\
and set up the event loop like\\
\hspace*{10mm}\texttt{for (int iEvent = 0; iEvent < nEvent; ++iEvent) \{ }

You are now free to play with further options in the input file, such as:
\begin{Itemize}
\item \texttt{6:m0 = 175.}\\  
change the top mass, which by default is 171 GeV.
\item \texttt{PartonLevel:FSR = off}\\  
switch off final-state radiation.
\item \texttt{PartonLevel:ISR = off}\\  
switch off initial-state radiation.
\item \texttt{PartonLevel:MPI = off}\\
switch off multiparton interactions.  
\item \texttt{Tune:pp = 3} (or other values between 1 and 13) \\
different combined tunes, in particular to radiation and multiparton 
interactions parameters. In part this reflects that no generator 
is perfect, and also not all data is perfect, so different emphasis 
will result in different optima. In addition, detailed tuning of 
\texttt{Pythia}~8 is still in its infancy.  
\item \texttt{Random:setSeed = on}\\
\texttt{Random:seed = 123456789}\\
all runs by default use the same random-number sequence, for reproducibility,
but you can pick any number between 1 and 900,000,000 to obtain a unique
sequence.
\end{Itemize}
For instance, check the importance of FSR, ISR and MPI on the charged 
multiplicity of events by switching off one component at a time.

The usage of further \texttt{Main:} variables is illustrated e.g.\ in
\texttt{main03.cc}, and the possibility to use command-line input
files in \texttt{main16.cc} and \texttt{main42.cc}. 

The online manual also exists in an interactive variant, where you
semi-automatically can construct a file with all the command lines you
wish to have. This requires that somebody installs the 
\texttt{pythia81xx/phpdoc} directory in a webserver. If you lack a local
installation you can use the one at\\
\hspace*{10mm}\texttt{http://home.thep.lu.se/$\sim$%
torbjorn/pythia81php/Welcome.php}\\
This is not a commercial-quality product, however, and requires some
user discipline. Full instructions are provided on the ``Save Settings''
page.

You have now completed the core part of the worksheet --- congratulations! 
From now on you should be able to take off in different directions, 
depending on your interests. The following three sections contain 
examples of further possible studies, and can be addressed in any order.  

\section{CKKW-L merging}

The main programs we have constructed and studied in the previous sections 
have one common drawback: all start from the \textsc{Pythia}~8 internal
library of lowest-order processes, and then add higher-order corrections
entirely by the internal parton-shower machinery. This will give
reliable results for soft and collinear configurations, but less so for 
multiple hard, well-separated jets. To model the latter similarly well 
we need to include external input from higher-order calculations, 
at least at tree level, but where feasible also at one-loop level. 
A number of different external programs can provide such input, using 
the LHA/LHEF standard format \cite{leshouchesaccord,leshoucheseventfiles} 
to transfer information, usually as LHE files. The hard-process events 
stored in these files will be accepted or rejected in such a way that 
doublecounting between different parton multiplicities is removed, 
resulting in a smooth transition between the multiplicities, and 
between the external input and the internal handling of parton showers. 
These two tasks usually go hand in hand.

Many different schemes have been proposed for matrix element + parton 
shower merging (MEPS), and a comprehensive selection of such schemes 
is available with the \textsc{Pythia}~8 distribution, including
\begin{Itemize}
\item tree-level merging: {\smaller MLM} jet matching \cite{mlm} 
(\textsc{MadGraph}- 
or \textsc{AlpGen}-style), {\smaller CKKW-L} merging \cite{ckkwl}, and 
unitarised {\smaller ME}+{\smaller PS} merging ({\smaller UMEPS})
\cite{umeps}; and
\item next-to-leading order merging: \textsc{NL$^3$} merging and
unitarised NLO+PS merging \mbox{({\smaller UNLOPS})} \cite{unlops}.
\end{Itemize}
The setup of such merging schemes is documented in the online manual,
heading ``Link to Other Programs'', page ``Matching and Merging'' with
further subpages, and is illustrated in several of the example main 
programs.

Here we will experiment with the {\smaller CKKW-L} scheme, which was 
the first merging scheme available in \textsc{Pythia}~8, and also
is among the simpler to work with. We will take the \texttt{main80}
example main program as a starting point for our studies. In its
general structure it closely resembles the main program(s) we already
constructed step by step, so we will only need to comment on aspects
that are new for the merging game. The process $\W^+ + \leq 2$~jets 
will be taken as an example. It uses the LHE files\\
\hspace*{10mm}\texttt{w+\_production\_lhc\_0.lhe} for $\W^+ + 0$ partons\\
\hspace*{10mm}\texttt{w+\_production\_lhc\_1.lhe} for $\W^+ + 1$ parton\\
\hspace*{10mm}\texttt{w+\_production\_lhc\_2.lhe} for $\W^+ + 2$ partons\\
in the \texttt{examples} directory to produce a result that simultaneously 
describes $\W^+ + 0,1,2$ jet observables with leading-order matrix 
elements, while also including arbitrarily many shower emissions.
Jets are here defined by a clustering procedure on the partons thus 
generated. (We omit other effects from consideration, such as MPIs or 
hadronization.)  

Say we want to study a one-jet observable, e.g. the transverse 
momentum of the jet $j$ in events with \emph{exactly} one jet. In this case, 
we want to take ``hard'' jets from the $\p\p \to \W j$ matrix element 
(ME), while ``soft'' jets should be modelled by parton-shower (PS) 
emissions off the $\p\p \to \W$ states. In order to smoothly merge these 
two samples, we have to know in which measure ``hard'' is defined, and 
which value of this measure separates the hard and soft regions. In 
\texttt{main80.cmnd}, these definitions are\\ 
\hspace*{10mm}\texttt{Merging:doKTMerging = on}\\
\hspace*{10mm}\texttt{Merging:ktType~~~~~~= 2}\\
\hspace*{10mm}\texttt{Merging:TMS~~~~~~~~~= 30.}\\
This will enable the merging procedure, with the merging scale defined by 
the minimal longitudinally invariant $k_\perp$ separation between partons
(there are many other possibilities, by \texttt{ktType} value or by your
own choice of merging procedure), with a merging scale $\tms = 30$~GeV. 
Such a definition fixes what we mean when we talk about ``hard'' 
and ``soft'' jets:
\vspace*{2mm}\\
\hspace*{8mm}
\begin{tabular}{l l}
Hard jets:  & $\min\{$Any relative $k_{\perp}$ between sets of 
partons$\} > \tms$\\
Soft jets:  & $\min\{$Any relative $k_{\perp}$ between sets of 
partons$\} < \tms$
\end{tabular}\vspace*{2mm}\\
Thus, in order for the merging prescription to work, we need to remove
phase space regions with $\min\{$Any $k_{\perp}\} < \tms$
from the W+1-parton matrix element calculation. Otherwise, there would
be an overlap between the ``soft jet'' and ``hard jet'' samples. 
 
This requirement means that the merging-scale definition should be 
implemented as a \emph{cut in the matrix element generator}. 
Alternatively, it is possible to enforce the cut in \textsc{Pythia}~8 
internally, assuming that the ME is calculated with more inclusive 
(i.e.\ loose) cuts. This is illustrated in Figure~\ref{fig:pythia-tms-cut}, 
in which the triangle depicts the whole phase space, with soft or 
collinear divergences located on the edges. The yellow area symbolises 
the phase-space region used for the generation of the LHEF events, 
while the green area represents the phase space after \textsc{Pythia}~8 
has enforced the merging-scale cut on the input events. In order to 
correctly apply the merging-scale cut, the green area has to be fully 
contained inside the yellow one, i.e.\ the cut in the ME generator has 
to be more inclusive than the $\tms$-cut. For optimal efficiency, the 
yellow and green areas should be identical. This can be the case in 
\textsc{MadGraph}~5 \cite{madgraphfive}, when using the generation cuts 
\texttt{ktdurham} (corresponding to \texttt{Merging:doKTMerging = on}) 
and \texttt{ptpythia} (corresponding to 
\texttt{Merging:doPTLundMerging = on}).

\begin{figure}
\centering
\includegraphics[width=0.4\textwidth]{ps33.eps}
\includegraphics[width=0.4\textwidth]{ps44.eps}
\caption{Schematic illustration of how the phase space covered by the 
external matrix-element generator, yellow region, has to enclose the 
region passing the \textsc{Pythia}~8 cuts, green region.
\label{fig:pythia-tms-cut}}
\end{figure}

After the merging-scale definition, we define the underlying process.
To tell \textsc{Pythia}~8 that we want to merge additional jets
in W-boson production, we specify which is the core process, using
\textsc{MadGraph} notation, where the final state is defined by the 
$\W^+$ decay products rather than by the $\W^+$ itself:\\
\hspace*{10mm}\texttt{Merging:Process~~~~~~~~~= pp>e+ve}\\
in \texttt{main80.cmnd}. Finally, the setting\\
\hspace*{10mm}\texttt{Merging:nJetMax~~~~~~~~~= 2}\\
tells the program to include the pre-generated ME events for up to two 
additional jets.

In \texttt{main80.cc}, the input file \texttt{main80.cmnd} is read early on
by the \texttt{pythia.readFile(\dots)} command. This gives access to the 
number of events to be read from each LHE file, and the number of LHE files
to be processed. The \textit{subrun loop} then handles each LHE file,
one at a time. Specifically, the\\
\hspace*{10mm}\texttt{pythia.readFile("main80.cmnd", iMerge);}\\  
uses the \texttt{iMerge} argument when reading the \texttt{main80.cmnd} 
file, so that only those commands following the respective 
\texttt{Main:subrun = iMerge} label are read. (Plus that everything 
before the first \texttt{Main:subrun} is re-read, but that does not 
matter since it stays the same.) Thus the proper LHE file is picked up for
each jet multiplicity. The\\
\hspace*{10mm}\texttt{Beams:frameType~~~~~~~~~= 4}\\
also informs \textsc{Pythia} that beam parameters should be read from the
header section of the LHE file, and not set by the user.    

Then we enter the event loop. The already-discussed difference in 
phase-space coverage can lead to a fair fraction of all input events 
being rejected. Thus the number of produced events can be lower than 
the requested \texttt{Main:numberOfEvents} one if the file is not
large enough. (When no further events can be read the
\texttt{pythia.next()} command will return \texttt{false}, so that
the event loop can be exited at the end of the LHE file.)
Those events that survive come with a weight\\
\hspace*{10mm}\texttt{double weight = pythia.info.mergingWeight();}\\
which contains Sudakov factors (to remove the double counting between 
samples of different multiplicity), $\as$ ratios (to incorporate the
$\as$ running not available in matrix element generators), and 
ratios of parton distributions (to include variable factorization scales). 
This weight \textit{must} be used when filling histogram bins, as is e.g.\ 
done by\\
\hspace*{10mm}\texttt{pTWnow.fill( pTW, weight);}\\
for the $p_{\perp}$ of the $\W$\ boson. The sum of weights also goes into
the calculation of the total generated cross section. 

After the event loop, the contribution to the $p_{\perp}$ of the 
$\W$ boson from this particular multiplicity is normalised by\\
\hspace*{10mm}\texttt{pTWnow *= 1e9*pythia.info.sigmaGen()/%
(2.*pythia.info.nAccepted());}\\
where the ratio of the two \texttt{pythia.info} numbers is the weight per 
event, the \texttt{1e9} is for conversion from mb to pb, and the \texttt{2.}
compensates for the bin width to give cross section per GeV.
This number and more detailed statistics are printed to the terminal. 
As a final step, the contribution of the current subrun is added to 
the total histogram\\
\hspace*{10mm}\texttt{pTWsum += pTWnow;}\\
and the subrun loop begins over with the next LHE file. The complete 
histogram, combining all multiplicities, is printed after the sub-run 
loop has concluded. 

You can compile and run \texttt{main80.cc} by issuing the commands\\
\hspace*{10mm}\texttt{make main80}\\
\hspace*{10mm}\texttt{./main80.exe}\\
When you run the program, note that some warning messages are issued 
routinely as part of the merging machinery, in the steps where a 
clustering history is found and where it is decided whether an event
fails the merging scale cuts. Warnings from the SLHA interface also
are irrelevant. So no reason to worry about any of that.

After the first run with the main program as is, you can try different 
variations.
\begin{Itemize}
\item Convince yourself that the variation of the ``merging weight'' 
is moderate.
 \item Check in which $p_\perp$ regions which jet multiplicity
contributes most.
\item Study how the individual contributions and the sum changes when
you run with a maximum of 1 or 0 jets, instead of the default 2.
\item Compare the $p_\perp$ spectrum of the $\W$ with what you get 
from running the internal \textsc{Pythia} production process, by 
straightforward modifications of your \texttt{mymain} program.
\item A major limitation is the size of the event files that come with 
the standard \textsc{Pythia} distribution, for space reasons. If you 
have a decent Internet connection you can download larger files, 
with 100\,000 events for each multiplicity up to $\W + 4$~partons. 
Do this from the \textsc{Pythia} home page, in the ``Tutorials'' section of 
it, files \texttt{wp\_tree\_0.lhe.gz} through \texttt{wp\_tree\_4.lhe.gz}.
You should \texttt{gunzip} them after downloading. (It is also possible 
to configure \textsc{Pythia} so that it can read \texttt{gzip}ped files,
see the \texttt{README} in the \textsc{Pythia} main directory, but this 
is less trivial.) With these files you can repeat the exercise above, 
and in particular check how much is gained by including the further 
$\W + 3$ and $\W + 4$ samples. To run through all events in the files
takes a while, so check with a fraction of the sample to begin with,
and be prepared to do something else while you wait for the full run to 
complete.  
\item Alternatively, if you are already a \textsc{MadGraph} user,
you could generate your own LHE files and merge them. This would
take some time, however, in particular for the higher multiplicities,
so may not be an option.
\item Use a jet finder to analyze the final state, and plot the 
$\pT$ spectra for the first, second, and third hardest jets,
combining separate contributions similarly to what is done in
\texttt{main80.cc} for the $\W$ $\pT$ spectrum. Instructions how 
to use the built-in \texttt{SlowJet} jet finder can be found in 
Appendix~B.2.
\item Check the variation of merged predictions with $\tms$. You can 
do this by using an ``inclusive'' event sample, and having 
\textsc{Pythia} enforce a stronger $\tms$ cut. In which phase-space 
region is the $\tms$ variation most visible?
\item Switch between ``wimpy'' and ``power'' showers by choosing 
values for \texttt{TimeShower:pTmaxMatch} and 
\texttt{SpaceShower:pTmaxMatch}. Are the effects more visible in 
merged or non-merged predictions?
\end{Itemize}

Once you have familiarised yourself with the example, you can experiment
with more advanced settings in \texttt{main80.cmnd}. Alternatively, 
try to use the example main program \texttt{main85.cc}, which is intended 
as a general ``{\smaller CKKW-L} blackbox''. This program produces 
\textsc{HepMC} events that can directly be processed by standard plotting 
tools. You can also download the dedicated merging tutorial from the
\textsc{Pythia} home page to learn more.

\section{Some studies of Higgs production}

The discovery of the Higgs boson has been the main accomplishment
of the LHC to date. Generators have been part of that story, right from 
the early days when the ATLAS and CMS detectors were designed in such a
way as to permit that discovery. This section offers exercises 
intended to explore the physics of Higgs production from various aspects,
with \textsc{Pythia} as guide.

\subsection{Production kinematics}

The dominant production channel is $\g\g\to\H^0$. To study the 
kinematics distribution of the Higgs, the existing top production
program could easily be modified. Instead of switching on top
production, use\\  
\hspace*{10mm}\texttt{HiggsSM:gg2H = on}\\
And instead of looking for the last top copy before decay, look
for the last Higgs copy \texttt{iH}, ie. the last particle with 
\texttt{id() == 25}. Once found the \texttt{pythia.event[iH]}
methods can be used to extract and histogram Higgs kinematics 
distributions, like for the top. In addition to the transverse
momentum \texttt{pT()} you can compare the distributions for 
true rapidity \texttt{y()} and for pseudorapidity \texttt{eta()}.

\subsection{Production processes}

While $\g\g \to \H^0$ is the main Higgs production channel,
it is not the only one. Do a run with \texttt{HiggsSM:all = on} 
to check which are implemented and their relative importance.
Also figure out how you could generate one of the less frequent 
processes on its own, either from the online manual or by making 
some deductions from the output with all processes.

In order to get decent cross-section statistics faster, you can use 
\texttt{PartonLevel:all = off} to switch off everything except the 
hard-process generation itself. One price to pay is that the 
kinematics distributions for the Higgs are not meaningful.

If instead complete events are generated you can study how the
transverse-momentum distribution varies between processes.
What are the reasons behind the significant differences? 

\subsection{Decay channels}

Also the decay channels and branching ratios in the Higgs
decay are of interest. Here no ready-made statistics routines
exist, so you have to do it yourself. You already have the location
\texttt{iH} of the decaying Higgs. Since the standard decay modes
are two-body, their locations are stored in\\  
\hspace*{10mm}\texttt{int iDau1 = pythia.event[iH].daughter1();}\\
\hspace*{10mm}\texttt{int iDau2 = pythia.event[iH].daughter2();}\\
and from that you can get the identities of the daughters.
Introduce counters for all the decay modes you come to think of,
that you use to derive and print branching ratios. Print the 
daughter identities in the leftover decays, where you did not yet 
have any counters, and iterate until you catch it all.
 
In this case, \texttt{PartonLevel:all = off} cannot be used, since 
then one does not get to the decays, at least not with the 
information in \texttt{pythia.event}. But you can combine\\
\hspace*{10mm}\texttt{PartonLevel:ISR = off} to switch off 
initial-state radiation,\\
\hspace*{10mm}\texttt{PartonLevel:FSR = off} to switch off 
final-state radiation,\\
\hspace*{10mm}\texttt{PartonLevel:MPI = off} to switch off 
multiparton interactions, and\\
\hspace*{10mm}\texttt{HadronLevel:all = off} to switch off 
hadronization and decays,\\
to get almost the same net time saving.

\subsection{Mass distribution}

By now the Higgs mass is pretty well pinned down, but you can 
check what the branching ratios would have been with another mass,
e.g.\ by \texttt{25:m0 = 150.} for a 150 GeV Higgs.

On a related note, the Higgs mass is generated according to a 
Breit-Wigner distribution, convoluted with parton densities.
Can you resolve this shape for the default Higgs mass?
How does it change had the Higgs been heavier, say at 400 GeV? 

\subsection{Associated jets}
\label{sec:Hjets}

Let's return to the different production channels, which 
give different event characteristics. Well-known is that the 
$\q \q \to \q \q \H^0$ processes give rise to jets at large
rapidities, that can be used for tagging purposes. This can be
studied as follows.

The two relevant processes are \texttt{HiggsSM:ff2Hff(t:ZZ)} and
\texttt{HiggsSM:ff2Hff(t:WW)} for $\Z^0 \Z^0$ and $\W^+ \W^-$
fusion ($\f$ here denotes a fermion; the same processes also exist
e.g. at $\e^+ \e^-$ colliders), that are to be compared with
the standard $\g\g \to \H^0$ one.

Find jets using the \texttt{SlowJet} class, see Appendix~B.2,
e.g.\ using the anti-$k_{\perp}$ algorithm with $R = 0.7$, 
$p_{\perp\mathrm{min}} = 30$~GeV and $\eta_{\mathrm{max}} = 5$.

One problem is that also the Higgs decay products can give jets, which
we are not interested in here. To avoid this, we can switch off Higgs 
decays by \texttt{25:mayDecay = off}. This still leaves the Higgs itself
in the event record. A call 
\texttt{pythia.event[iH].statusNeg()} will negate its status code, 
and since \texttt{slowJet.analyze(...)} only considers the final 
particles, i.e. those with positive status, the Higgs is thus
eliminated. 

Now study the $\pT$ and rapidity spectrum of the hardest jets,
and compare those distributions for the two processes. Also study
how many jets are produced in the two cases.

\subsection{Underlying event}

Several mechanisms contribute to the overall particle production in
Higgs events. This can be studied e.g.\ by histogramming the charged 
particle distribution.    

You then need to have a counter set to zero for each new event. Inside 
the particle loop this counter should be incremented whenever 
the particle \texttt{isFinal()} and \texttt{isCharged()}. For the histogram, 
note that it can be treacherous to have bin limits at integers, where 
roundoff errors decide whichever way they go. In this particular case 
only even numbers are possible, so 100 bins from $-1$ to 399 would still 
be acceptable, for instance.

Once you have the distribution down for normal events, study what happens 
if you remove ISR, FSR and MPI one by one or all together. Also study 
the contribution of the Higgs decay itself to the multiplicity, e.g.\ by 
setting the Higgs stable. Reflect on why different combinations give 
the pattern they do, e.g.\ why ISR on/off makes a bigger difference
when MPI is on than off. 

\subsection{Decay properties}

The decay mode $\H^0 \to \Z^0 \Z^0 \to \ell^+ \ell^- \ell'^+ \ell'^-$,
$\ell, \ell' = \e, \mu$, is called the gold-plated one, since it stands
out so well from backgrounds. It also offers angular correlations that
probe the spin of a Higgs candidate.

For now consider a simpler, but still interesting, pair of distributions:
the mass spectra of the two $\Z^0$ decay products. Plot them for the 
lighter and the heavier of the two separately, and compare shapes and 
average values. To improve statistics, you can use \texttt{25:onMode = off}
to switch off all decay channels, and then \texttt{25:onIfMatch = 23 23}
to switch back on the decay to $\Z^0 \Z^0$ (and nothing else). Further, 
neither ISR, FSR, MPI nor hadronization affect the mass distributions, 
so this allows some speedup.

How can one qualitatively understand why the two masses tend to be
so far apart, rather than roughly comparable? 

\subsection{Comparison with $\Z^0$ production}

One of the key reference processes at hadron colliders is $\Z^0$ production.
To lowest order it only involves one process, $\q\qbar \to \gamma^*/\Z^0$,
accessible with \texttt{WeakSingleBoson:ffbar2gmZ = on}. One complication
is that the process involves $\gamma^*/\Z^0$ interference, and so a 
significiant enhancement at low masses, even if the combined particle
always is classified with code 23, however. 

Compare the two processes $\g\g \to \H^0$ and $\q\qbar \to \gamma^*/\Z^0$,
with respect to the $\pT$ distribution of the boson and the total charged
multiplicity of the events. So as to remove the dependence on the difference
in mass, you can set a specific mass range in the $\gamma^*/\Z^0$ 
generation with \texttt{PhaseSpace:mHatMin = 124} and 
\texttt{PhaseSpace:mHatMax = 126}, to agree with the $\H^0$ mass
to $\pm$ 1 GeV.

Can you explain what is driving the differences in the $\pT$ and 
$n_{\mrm{chg}}$ distributions between the two processes? 

\section{Further studies}

If you have time left, you should take the opportunity to try 
a few other processes or options. Below are given some examples, 
but feel free to pick something else that you would be more
interested in.  

\begin{Itemize}
\item One popular misconception is that the energy and momentum of a 
$\B$ meson has to be smaller than that of its mother $\b$ quark, and 
similarly for charm. The fallacy is twofold. Firstly, if the $\b$ 
quark is surrounded by nearby colour-connected gluons, the $\B$ meson 
may also pick up some of the momentum of these gluons. Secondly, the
concept of smaller momentum is not Lorentz-frame-independent:
if the other end of the $\b$ colour force field is a parton with a
higher momentum (such as a beam remnant) the ``drag'' of the 
hadronization process may imply an acceleration in the lab frame
(but a deceleration in the beam rest frame).\\
To study this, simulate $\b$ production, e.g.\ the process
\texttt{HardQCD:gg2bbbar}. Identify $\B / \B^*$ mesons that
come directly from the hadronization, for simplicity those with
status code $-83$ or $-84$. In the former case the mother $\b$
quark is in the \texttt{mother1()} position, in the latter in
\texttt{mother2()} (study a few event listings to see how it works).
Plot the ratio of $\B$ to $\b$ energy to see what it looks like.       

\item One of the characteristics of multiparton-interactions (MPI) models
is that they lead to strong long-range correlations, as observed in
data. That is, if many hadrons are produced in one rapidity range
of an event, then most likely this is an event where many MPI's
occurred (and the impact parameter between the two colliding protons
was small), and then one may expect a larger activity also at other
rapidities.\\
To study this, select two symmetrically located, one unit wide bins 
in rapidity (or pseudorapidity), with a variable central separation 
$\Delta y$: $\left[ \Delta y/2, \Delta y/2 + 1 \right]$ and 
$\left[ - \Delta y/2 - 1, - \Delta y/2 \right]$.
For each event you may find $n_F$ and $n_B$, the charged multiplicity 
in the ``forward'' and ``backward'' rapidity bins. Suitable averages 
over a sample of events then gives the forward--backward correlation 
coefficient
\[
\rho_{FB}(\Delta y) = \frac{\langle n_F \, n_B \rangle 
- \langle n_F \rangle \langle n_B \rangle}%
{\sqrt{(\langle n_F^2 \rangle - \langle n_F \rangle^2)
(\langle n_B^2 \rangle - \langle n_B \rangle^2)}} 
= \frac{\langle n_F \, n_B \rangle - \langle n_F \rangle^2}%
{\langle n_F^2 \rangle - \langle n_F \rangle^2} ~,
\]
where the last equality holds for symmetric distributions such as
in $\p\p$ and $\pbar\p$.\\
Compare how $\rho_{FB}(\Delta y)$ changes for increasing
$\Delta y = 0, 1, 2, 3, \ldots$, with and without MPI switched on
(\texttt{PartonLevel:MPI = on/off}) for minimum-bias events
(\texttt{SoftQCD:minBias = on}).

\item $\Z^0$ production to lowest order only involves one process,
which is accessible with \texttt{WeakSingleBoson:ffbar2gmZ = on}. 
The problem here is that the process is $\f \fbar \to \gamma^*/\Z^0$ 
with full $\gamma^*/\Z^0$ interference and so a signficiant enhancement 
at low masses. The combined particle is always classified with code 23,
however. So generate events and study the $\gamma^*/\Z^0$ mass and
$\pT$ distributions. Then restrict to a more ``$\Z^0$-like''  
mass range with \texttt{PhaseSpace:mHatMin = 75.} and 
\texttt{PhaseSpace:mHatMax = 120.}

\item Use a jet clustering algorithm, e.g.\ one of the \texttt{SlowJet}
options described in Appendix~B.2, to study the number of jets found in 
association with the $\Z^0$ above. You can switch off $\Z^0$ decay with 
\texttt{23:mayDecay = no}, and negate its status code by
\texttt{pythia.event[iZ].statusNeg()}, so that it will not be included
in the jet finding. Here \texttt{iZ} is the last copy of the $\Z^0$,
cf.\ how the last top copy was found above.
Again check the importance of FSR/ISR/MPI. 
\end{Itemize}

Note that the \textsc{Pythia} homepage contains two further tutorials,
in addition to older editions of the current one. These share some
of the introductory material, but then put the emphasis on two 
specific areas:
\begin{Itemize}
\item a merging tutorial, showing the step-by-step construction of 
a relevant main program, and more details on possible merging 
approaches than found in Section~6 of the current manual; and
\item a BSM tutorial, describing how you can input events from
Beyond-the-Standard-model scenarios into \textsc{Pythia}.
\end{Itemize}
 

\appendix
\section{The Event Record}

The event record is set up to store every step in the evolution from 
an initial low-multiplicity partonic process to a final high-multiplicity
hadronic state, in the order that new particles are generated. The record
is a vector of particles, that expands to fit the needs of the current 
event (plus some additional pieces of information not discussed here). 
Thus \texttt{event[i]} is the \texttt{i}'th particle of the current 
event, and you may study its properties by using various 
\texttt{event[i].method()} possibilities.

The \texttt{event.list()} listing provides the main properties of 
each particles, by column:
\begin{Itemize}
\item \texttt{no}, the index number of the particle (\texttt{i}
above);
\item \texttt{id}, the PDG particle identity code 
(method \texttt{id()});
\item \texttt{name}, a plaintext rendering of the particle name 
(method \texttt{name()}), within brackets for initial or intermediate 
particles and without for final-state ones;
\item \texttt{status}, the reason why a new particle was added to 
the event record (method \texttt{status()});
\item \texttt{mothers} and \texttt{daughters}, documentation on
the event history (methods \texttt{mother1()}, \texttt{mother2()}, 
\texttt{daughter1()} and \texttt{daughter2()});
\item \texttt{colours}, the colour flow of the process (methods 
\texttt{col()} and \texttt{acol()});
\item \texttt{p\_x}, \texttt{p\_y}, \texttt{p\_z} and \texttt{e}, 
the components of the momentum four-vector $(p_x, p_y, p_z, E)$,
in units of GeV with $c = 1$ (methods \texttt{px()}, \texttt{py()}, 
\texttt{pz()} and \texttt{e()});
\item \texttt{m}, the mass, in units as above (method \texttt{m()}).
\end{Itemize}
For a complete description of these and other particle properties 
(such as production and decay vertices, rapidity, $p_\perp$, etc), 
open the program's online documentation in a browser (see Section 2,
point 6, above), scroll down to the ``Study Output'' section, and follow
the ``Particle Properties'' link in the left-hand-side menu.  For brief
summaries on the less trivial of the ones above, read on.

\subsection{Identity codes}

A complete specification of the PDG codes is found in the
Review of Particle Physics \cite{rpp}. An online listing is 
available from\\
\hspace*{10mm}\texttt{http://pdg.lbl.gov/2012/reviews/%
rpp2012-rev-monte-carlo-numbering.pdf}

A short summary of the most common \texttt{id} codes would be\\[2mm] 
\begin{tabular}{|cc|cc|cc|cc|cc|cc|cc|}
\hline
1 & $\d$ & 11 & $\e^-$      & 21  & $\g$ & 211 & $\pi^+$ 
& 111 & $\pi^0$ & 213 & $\rho^+$ & 2112 & $\n$ \\
2 & $\u$ & 12 & $\nu_{\e}$   & 22 & $\gamma$ & 311 & $\K^0$
& 221 & $\eta$ & 313 & $\K^{*0}$ & 2212 & $\p$  \\
3 & $\s$ & 13 & $\mu^-$     & 23 & $\Z^0$  & 321 & $\K^+$
& 331 & $\eta'$ & 323 & $\K^{*+}$ & 3122 & $\Lambda^0$ \\
4 & $\c$ & 14 & $\nu_{\mu}$  & 24 & $\W^+$ & 411 & $\D^+$
& 130 & $\K^0_{\mrm{L}}$ & 113 & $\rho^0$ & 3112 & $\Sigma^-$ \\
5 & $\b$ & 15 & $\tau^-$    & 25 & $\H^0$ & 421 & $\D^0$
& 310 & $\K^0_{\mrm{S}}$ & 223 & $\omega$ & 3212 & $\Sigma^0$  \\
6 & $\t$ & 16 & $\nu_{\tau}$ &  &  & 431 & $\D_{\s}^+$
& & & 333 & $\phi$ & 3222 & $\Sigma^+$ \\
\hline
\end{tabular}\\[2mm]
Antiparticles to the above, where existing as separate entities, 
are given with a negative sign.\\
Note that simple meson and baryon codes are constructed from 
the constituent (anti)quark codes, with a final spin-state-counting digit 
$2 s + 1$ ($\K^0_{\mrm{L}}$ and $\K^0_{\mrm{S}}$ being exceptions), and with
a set of further rules to make the codes unambiguous.  

\subsection{Status codes}

When a new particle is added to the event record, it is assigned 
a positive status code that describes why it has been added,
as follows (see the online manual for the meaning of each specific
code):\\[2mm]  
\begin{tabular}{|c|l|}
\hline
code range & explanation \\
\hline
11 -- 19 & beam particles\\
21 -- 29 & particles of the hardest subprocess\\
31 -- 39 & particles of subsequent subprocesses in multiparton interactions\\
41 -- 49 & particles produced by initial-state-showers\\
51 -- 59 & particles produced by final-state-showers\\
61 -- 69 & particles produced by beam-remnant treatment\\
71 -- 79 & partons in preparation of hadronization process\\
81 -- 89 & primary hadrons produced by hadronization process\\
91 -- 99 & particles produced in decay process, or by Bose-Einstein effects\\ 
\hline
\end{tabular}\\[2mm]
Whenever a particle is allowed to branch or decay further its status 
code is negated (but it is \textit{never} removed from the event record), 
such that only particles in the final state remain with positive codes. The
\texttt{isFinal()} method returns \texttt{true/false} for
positive/negative status codes.

\subsection{History information}

The two mother and two daughter indices of each particle provide 
information on the history relationship between the different entries 
in the event record. The detailed rules depend on the particular physics 
step being described, as defined by the status code. As an example, 
in a $2 \to 2$ process $a b \to c d$, the locations of $a$ and $b$
would set the mothers of $c$ and $d$, with the reverse relationship
for daughters. When the two mother or daughter indices are not
consecutive they define a range between the first and last entry,
such as a string system consisting of several partons fragment into
several hadrons.

There are also several special cases. One such is when ``the same''
particle appears as a second copy, e.g. because its momentum has 
been shifted by it taking a recoil in the dipole picture of parton
showers. Then the original has both daughter indices pointing to the
same particle, which in its turn has both mother pointers referring
back to the original. Another special case is the description of 
ISR by backwards evolution, where the mother is constructed at a 
later stage than the daughter, and therefore appears below it in the 
event listing. 

If you get confused by the different special-case storage options, the 
two \texttt{motherList()} and \texttt{daughterList()} methods 
return a \texttt{vector} of all mother or daughter indices of 
a particle.

\subsection{Colour flow information}

The colour flow information is based on the Les Houches Accord
convention \cite{leshouchesaccord}. In it, the number of colours
is assumed infinite, so that each new colour line can be assigned
a new separate colour. These colours are given consecutive labels:
101, 102, 103, \ldots . A gluon has both a colour and an anticolour
label, an (anti)quark only (anti)colour. 

While colours are traced consistently through hard processes and 
parton showers, the subsequent beam-remnant-handling step often 
involves a drastic change of colour labels. Firstly, previously 
unrelated colours and anticolours taken from the beams may at this
stage be associated with each other, and be relabelled accordingly. 
Secondly, it appears that the close space--time overlap of many 
colour fields leads to reconnections, i.e. a swapping of colour labels, 
that tends to reduce the total length of field lines.

\section{Some facilities}

The \textsc{Pythia} package contains some facilities that are 
not part of the core generation mission, but are useful
for standalone running, notably at summer schools. Here we give
some brief info on histograms and jet finding.

\subsection{Histograms}

For real-life applications you may want to use sophisticated 
histogramming programs like ROOT, which however take much time to
install and learn. Within the time at our disposal, we therefore 
stick with the very primitive \texttt{Hist} class. Here is a 
simple overview of what is involved. 

As a first step you need to declare a histogram, with name, title, 
number of bins and $x$ range (from, to), like\\
\hspace*{10mm}\texttt{Hist pTH("Higgs transverse momentum", 100, 0., 200.);}\\
Once declared, its contents can be added by repeated calls to fill,\\
\hspace*{10mm}\texttt{pTH.fill( 22.7, 1.);}\\ 
where the first argument is the $x$ value and the second the weight. 
Since the weight defaults to 1 the last argument could have been omitted 
in this case.

A set of overloaded operators have been defined, so that histograms can be 
added, subtracted, divided or multiplied by each other. Then the contents 
are modified accordingly bin by bin. Thus the relative deviation between 
two histograms \texttt{data} and \texttt{theory} can be found as\\
\hspace*{10mm}\texttt{diff = (data - theory) / (data + theory);}\\
assuming that \texttt{diff}, \texttt{data} and \texttt{theory} have been 
booked with the same number of bins and $x$ range. 

Also overloaded operations with double real numbers are available. Again 
these four operations are defined bin by bin, i.e.\ the corresponding 
amount is added to, subtracted from, multiplied by or divided by each bin. 
The double number can come before or after the histograms, with obvious 
results. Thus the inverse of a histogram result is given by 
\texttt{1./result}. The two kind of operations can be combined, e.g.\\
\hspace*{10mm}\texttt{allpT = ZpT + 2. * WpT}

A histogram can be printed by making use of the overloaded 
\texttt{<<} operator, e.g.\\
\hspace*{10mm}\texttt{cout << ZpT;}\\
The printout format is inspired by the old HBOOK one. To understand 
how to read it, consider the simplified example
\begin{verbatim}                                   
        3.50*10^ 2  9                     
        3.00*10^ 2  X   7               
        2.50*10^ 2  X  1X               
        2.00*10^ 2  X6 XX                
        1.50*10^ 2  XX5XX                 
        1.00*10^ 2  XXXXX                
        0.50*10^ 2  XXXXX        

          Contents 
            *10^ 2  31122
            *10^ 1  47208
            *10^ 0  79373

          Low edge  -- 
            *10^ 1  10001 
            *10^ 0  05050
\end{verbatim}
The key feature is that the \texttt{Contents} and \texttt{Low edge} 
have to be read vertically. For instance, the first bin has the 
contents $3 * 10^2 + 4 * 10^1 + 7 * 10^0 = 347$. Correspondingly, 
the other bins have contents 179, 123, 207 and 283. The first bin 
stretches from $-(1 * 10^1 + 0 * 10^0) = -10$ to the beginning 
of the second bin, at $-(0 * 10^1 + 5 * 10^0) = -5$.

The visual representation above the contents give a simple impression 
of the shape. An \texttt{X} means that the contents are filled up to 
this level, a digit in the topmost row the fraction to which the last 
level is filled. So the \texttt{9} of the first column indicates this 
bin is filled 9/10 of the way from $3.00*10^2 = 300$ to 
$3.50*10^2 = 350$, i.e. somewhere close to 345, or more precisely 
in the range 342.5 to 347.5.

The printout also provides some other information, such as the number 
of entries, i.e. how many times the histogram has been filled, the total 
weight inside the histogram, the total weight in underflow and overflow, 
and the mean value and root-mean-square width (disregarding underflow 
and overflow). The mean and width assumes that all the contents is in 
the middle of the respective bin. This is especially relevant when you 
plot a integer quantity, such as a multiplicity. Then it makes sense 
to book with limits that are half-integers, e.g.\\
\hspace*{10mm}\texttt{Hist multMPI( "number of multiparton interactions", % 
20, -0.5, 19.5);}\\
so that the bins are centered at 0, 1, 2, ..., respectively. This also 
avoids ambiguities which bin gets to be filled if entries are exactly 
at the border between two bins. Also note that the \texttt{fill( xValue)} 
method automatically performs a cast to double precision where necessary, 
i.e. \texttt{xValue} can be an integer.

Histogram values can also be output to a file\\
\hspace*{10mm}\texttt{pTH.table("filename");}\\ 
which produces a two-column table, where the first column gives the 
center of each bin and the second one the corresponding bin content.
This may be used for plotting e.g. with Gnuplot.

\subsection{Jet finding}

The \texttt{SlowJet} class offer jet finding by the $\kT$,
Cambridge/Aachen and anti-$\kT$ algorithms. By default it is now 
a front end to the FJcore subset, extracted from the FastJet package 
\cite{fastjet} and distributed as part of the \textsc{Pythia} package, 
and is therefore 
no longer slow. It is good enough for basic jet studies, but does not 
allow for jet pruning or other more sophisticated applications. 
(An interface to the full FastJet package is available for such uses.)

You set up \texttt{SlowJet} initially with\\
\hspace*{10mm}\texttt{SlowJet slowJet( pow, radius, pTjetMin, etaMax);}\\
where \texttt{pow = -1} for anti-$\kT$ (recommended), \texttt{pow = 0} 
for Cambridge/Aachen, \texttt{pow = 1} for $\kT$,  while \texttt{radius} 
is the $R$ parameter, \texttt{pTjetMin} the minimum $\pT$ of jets, and 
\texttt{etaMax} the maximum pseudorapidity of the detector coverage. 

Inside the event loop, you can analyze an event by a call\\
\hspace*{10mm}\texttt{slowJet.analyze( pythia.event );}\\
The jets found can be listed by \texttt{slowJet.list();}, but this 
is only feasible for a few events. Instead you can use the following
methods:\\
\hspace*{10mm}\texttt{slowJet.sizeJet()} gives the number of jets found,\\
\hspace*{10mm}\texttt{slowJet.pT(i)} gives the $\pT$ for the 
\texttt{i}'th jet, and\\
\hspace*{10mm}\texttt{slowJet.y(i)} gives the rapidity for the 
\texttt{i}'th jet.\\
The jets are ordered in falling $\pT$. 

\section{Interface to HepMC}

The standard \textsc{HepMC} event-record format is frequently used 
in the MCnet school training sessions, notably since it is required
for comparisons with experimental data analyses implemented in the  
Rivet package. Then a ready-made installation is used. However, 
for the ambitious, here is described how to set up the \textsc{Pythia} 
interface, assuming you already know where \textsc{HepMC} is installed.
A similar procedure is required for interfacing to other external 
libraries, so the points below may be of more general usefulness.\\
\textit{Note:} the interface to \textsc{HepMC} version 1 is no longer 
supported; you must use version 2. Preferably 2.04 or later.

To begin with, you need to go back to the installation procedure 
of section 2 and insert/redo some steps.
\begin{Enumerate}
\item Move back to the main \texttt{pythia81xx} directory 
(\texttt{cd ..} if you are in \texttt{examples}).
\item Remove the currently compiled version with\\
\hspace*{10mm}\texttt{make clean}
\item Configure the program in preparation for the compilation:\\
\hspace*{10mm}\texttt{./configure --with-hepmc=path}\\
where the directory-tree \texttt{path} would depend on your local 
installation. 
\item Should \texttt{configure} not recognise the version number 
you can supply that with an optional argument, like\\
\hspace*{10mm}\texttt{./configure --with-hepmc=path %
--with-hepmcversion=2.06.07}
\item Recompile the program, now including the \textsc{HepMC} interface, 
with \texttt{make} as before, and move back to the \texttt{examples} 
subdirectory. 
\item Do either of\\
\hspace*{10mm}\texttt{source config.csh}\\
\hspace*{10mm}\texttt{source config.sh}\\
the former when you use the csh or tcsh shells, otherwise the latter.
(Use \texttt{echo \$SHELL} if uncertain. Or do both; the wrong one will 
have no effect.)  
\item You can now also use the \texttt{main41.cc} and \texttt{main42.cc}
examples to produce \textsc{HepMC} event files. The latter may be most useful;
it presents a slight generalisation of the command-line-driven main program
you constructed in Section 5. After you have built the executable you can 
run it with\\ 
\hspace*{10mm}\texttt{./main42.exe infile hepmcfile > main42.out}\\
where \texttt{infile} is an input ``card'' file (e.g. \texttt{mymain.cmnd})
and \texttt{hepmcfile} is your chosen name for the output file with 
\textsc{HepMC} events.
\end{Enumerate}

Note that the above procedure is based on the assumption that you will
be running your main programs from the \texttt{examples} subdirectory.
If not you will have to create your own scripts and/or makefiles to handle
the linking. If you have no experience with such tasks then it is better
to use any existing instructions for your local installation. If you do
have such experience then a short summary of what you need to know
to get going is provided.

Before you run a \textsc{Pythia} program the \texttt{PYTHIA8DATA} 
environment variable needs to be set to point to the \texttt{xmldoc} 
subdirectory where all settings and particle data are stored. If you 
use the csh or tcsh shells this means a line like\\
\hspace*{10mm}\texttt{setenv PYTHIA8DATA /path/pythia81xx/xmldoc}\\
or else\\   
\hspace*{10mm}\texttt{export PYTHIA8DATA=/path/pythia81xx/xmldoc}\\
where the correct \texttt{path} has to be found by you. 
Similarly, to use \textsc{HepMC}, you also have to set or append its
location to the \texttt{LD\_LIBRARY\_PATH} (the 
\texttt{DYLD\_LIBRARY\_PATH} on Mac OSX); the \texttt{config.csh} 
and \texttt{config.sh} files generated above well illustrate the code
needed to achieve this. Finally, the necessary linking stage can
be understood from the relevant parts of the \texttt{examples/Makefile}. 

\section{Preparations before starting the tutorial}

Normally, you will run this tutorial on your own (laptop or desktop)
computer. It is therefore important to make sure that you will be able 
to extract, compile, and run the code. 

\textsc{Pythia} is not a particularly demanding package by modern 
standards, but some basic facilities such as emacs (or an equivalent 
editor), gcc (g++), make, and tar must be available on your system. 
Below, we give some very basic instructions for standard installations 
on Linux, Mac OS X, and Windows platforms, respectively. 

In the context of summer schools, students are strongly recommended 
to make sure that the above-mentioned facilities have been properly 
installed before traveling to the school, especially if the school 
is in a location which is likely to offer limited bandwidth.

\subsection{Linux (Ubuntu)}

The default tutorial instructions are intended for Linux (or other 
Unix-based) platforms, so this should be the easiest type of system 
to work with. The presence of the required development tools should be
automatic on most Linux distributions. 

Nonetheless, it seems that at least default installations of 
Ubuntu 12 do not include the full set of tools. These can be obtained
by installing the ``build-essential'' package, by opening a terminal
window and typing\\
\hspace*{10mm}\texttt{sudo apt-get install build-essential}

\subsection{Max OS X}

Mac OS X does not include code development tools by default, but they
can relatively easily be obtained by installing Apple's Xcode package,
which is free of charge from the App Store; just type ``xcode'' in the 
search field to find it. Once Xcode is installed, launch the application,
and then click your way from Xcode $>$ Preferences $>$ Downloads $>$
Components $>$ Command Line Tools. Note that downloading and installing
Xcode and the Command Line Tools can take quite some time, and if you
don't already have an Apple ID it will take even longer, so this 
should be done well before starting the tutorial.

With Xcode installed, you will also be able to use MacPorts 
(\texttt{www.macports.org}), a convenient package management system 
for Macs, which makes it very easy to install and maintain compiler 
suites, \LaTeX, \textsc{Root}, and many other packages. Emacs is not
part of the Xcode Command Line Tools, so is another useful example. 

\subsection{Windows}

For Windows users, the simplest solution is to run the tutorial on a
Virtual Machine (VM). We recommend downloading VirtualBox (free from
Oracle, \texttt{www.virtualbox.org}) and installing either an Ubuntu 
or CernVM (Scientific Linux, \texttt{cernvm.cern.ch}) Virtual Machine. 
If you install an Ubuntu VM, please see the instructions above for 
Ubuntu systems. Verify that you are able to use the VM before 
starting the tutorial.

If you want to work natively under Windows, you are pretty much on your
own. If you have Win32/nmake installed, we do include a Makefile.msc,
so that the command\\
\hspace*{10mm}\texttt{nmake -f Makefile.msc CFG="Win32 Release"}\\
should be enough to compile the \textsc{Pythia} library (but no
guarantees), under Step 4 in section \ref{sec:installation}. 
Thereafter you have to figure out how to do the test runs. 

\begin{thebibliography}{99}

\bibitem{pythiaeight}
T. Sj\"ostrand, S. Mrenna and P. Skands,
Comput. Phys. Comm. {\bf 178} (2008) 852 [arXiv:0710.3820] 

\bibitem{pythiasix}
T. Sj\"ostrand, S. Mrenna and P. Skands, 
JHEP {\bf 05} (2006) 026 [hep-ph/0603175]

\bibitem{leshouchesaccord}
E. Boos et al., in the Proceedings of the Workshop on Physics at TeV 
Colliders, Les Houches, France, 21 May - 1 Jun 2001 [hep-ph/0109068]

\bibitem{leshoucheseventfiles}
J. Alwall et al., 
Comput. Phys. Commun. {\bf 176} (2007) 300 [hep-ph/0609017]

\bibitem{mlm}
M.L. Mangano, M. Moretti, F. Piccinini and M. Treccani,
JHEP {\bf 01} (2007) 013

\bibitem{ckkwl}
L. L\"{o}nnblad and S. Prestel, JHEP {\bf 03} (2012) 019
[arxiv:1109.4829 [hep-ph]]

\bibitem{umeps}
L. L\"{o}nnblad and S. Prestel, JHEP {\bf 02} (2013) 094 
[arxiv:1211.4827 [hep-ph]]

\bibitem{unlops}
L. L\"{o}nnblad and S. Prestel, JHEP {\bf 03} (2013) 166
[arxiv:1211.7278 [hep-ph]]

\bibitem{madgraphfive}
J. Alwall et al., 
JHEP {\bf 06} (2011) 128, [arXiv:1106.0522 [hep-ph]]

\bibitem{rpp}
Particle Data Group, C. Amsler et al., 
Physics Letters {\bf B667} (2008) 1

\bibitem{fastjet}
M. Cacciari, G.P. Salam and G. Soyez, Eur. Phys. J. C72 (2012) 1896\\
{}[arXiv:1111.6097 [hep-ph]] 

\end{thebibliography}

\end{document}


pythia8-8.1.86.orig/xmldoc/Glossary.xml0000444000175000017500000000571712357055017016167 0ustar  sunsun 
 

    Glossary
     
 

     
 

    BR
     

    Beam Remnants; not much used since it may be confused with 
Branching Ratio
     
 

    BSM
     

    Beyond-the-Standard-Model physics, as a generic term for anything 
not contained within the SM
     
 

    FSR
     

    Final-State Radiation, implemented in terms of timelike showers
     
 

    LHA
     

    Les Houches Accord for user processes, describing which process-level 
information should be stored to allow further showering and hadronization 
of "skeleton" hard processes
     
 

    LHAPDF
     

    Les Houches Accord Parton Distribution Functions, originally a standard 
format for defining PDF's and later a library with such PDF's
     
 

    LHEF
     

    Les Houches Event File(s), a file format for storing LHA process and 
event information
     
 

    ISR
     

    Initial-State Radiation, implemented in terms of spacelike showers
     
 

    MPI
     

    Multiparton Interactions, i.e. several (more or less) independent 
parton-parton subcollisions as part of a hadron-hadron event (previously 
called MI for multiple interactions)
     
 

    MSSM
     

    Minimal Supersymmetric extension of the Standard Model
     
 

    PDF
     

    Parton Distribution Function (alternatively Parton Density 
Function)
     
 

    PDG code
     

    a scheme for assigning unique integers, particle identity codes, 
to known and hypothetical particles; code rules and tables are published 
in the RPP (see below).
     
 

    pileup
     

    several hadron-hadron collisions in a bunch crossing; not to 
be confused with MPI
     
 

    RPP
     

    Review of Particle Physics, the biannual review by the ParticleData Group 
(PDG) from which many Standard-Model parameter values and much particle data 
has been taken (but, given the poor data on many hadron resonances, a lot of 
extra (guess)work is needed)
     
 

    setting
     

    collectively used to denote all the boolean flag, 
integer mode, double-precision parm 
and string word variables that can be set by the user 
to steer the behaviour of a run; normally particle data are considered 
separately but clearly are closely related
     
 

    SLHA
     

    SUSY Les Houches Accord for interchange of mass and coupling information 
in SUSY scenarios, via a well-defined file format
     
 

    SM
     

    the Standard Model of particle physics
     
 

    SUSY
     

    SUperSYmmetry
     
 

    units
     

    Normal PYTHIA input, internal operations and output is based on a set of 
standard units, such as: 

    GeV for all energies, momenta and masses, always with c = 1; 

    mm for all distances and mm/c for all times, 
so that again they match for c = 1; 

    mb for all cross sections (but input or output via the Les Houches 
Accord takes into account that the unit there is pb) 

     
 

     
 
     
 
 
pythia8-8.1.86.orig/xmldoc/UMEPSMerging.xml0000444000175000017500000002223712357055031016556 0ustar  sunsun 
 
 

    Unitarised Matrix Element + Parton Shower Merging
     
 
Pythia offers the possibility to use the unitarised matrix element + parton 
shower merging scheme, as presented in Lon12. Unitarised ME+PS 
merging (UMEPS) allows for a consistent inclusion of tree-level multi-parton 
matrix elements into Pythia, and prevents potential changes in the inclusive 
production cross section. This makes it theoretically more appealing than 
CKKW-L merging. As in CKKW-L, UMEPS merging requires the user to supply Les 
Houches Event File input. 
 

     
UMEPS is different from other tree-level merging schemes in that it contains 
events with negative weights. These are generated by constructing 
parts of no-emission probabilities by reweighted higher-multiplicity 
samples Lon12. The main philosophy of UMEPS is "subtract what you 
add", meaning that in order to ensure the stability of the inclusive cross 
section, one has to counter the inclusion of additional tree-level matrix 
elements by "subtraction terms". 
 

     The scheme closely reflects how unitarity 
is achieved in a non-merged shower, and indeed explicitly enforces the 
cancellations that are implicitly happening in a non-merged shower. This makes 
very low merging scale values possible. 
 

     
The usage of UMEPS is illustrated in the sample main program 
main86.cc, together with the input file 
main86.cmnd. 
 

     
Unitarised merging is heavily indebted to CKKW-L merging, and shares many 
settings with CKKW-L. In particular, 

     
          The hard process 
(Merging:Process)needs to be defined 
exactly as in CKKW-L (see Defining the hard process in the 
CKKW-L documentation). 

     
          The merging scale value 
(Merging:TMS) has to be set. 

     
          The maximal number of additional partons 
Merging:nJetMax has to be set. 
 

     
UMEPS further shares the switches listed under the sections "Matrix 
element merging and HepMC output for RIVET" and "Further 
variables" in  the CKKW-L 
documentation with CKKW-L merging. Also, all 
MergingHooks routines that allow for user interference in 
CKKW-L merging are also usable for UMEPS -- with the exception of a 
user-defined merging scale. 
Currently, UMEPS is only implemented for a merging scale defined 
by the minimal Pythia evolution pT value between sets of radiator, emitted 
and recoiler partons. This is no fundamental limitation of the method, and 
will possibly be lifted in the future. Since this merging scale definition is 
not completely obvious, UMEPS also shares the 
Merging:enforceCutOnLHE switch with CKKW-L. In this way, it 
is possible to use LHE files that are regularised only with weak cuts as 
input, while the merging machinery imposes the stronger merging scale cut 
automatically. This means that no merging scale implementation is required 
from the user side, but also means that it is the user's responsibility to 
ensure that the cuts used for generating input LHE files are always looser 
than the cut given by the merging scale value Merging:TMS. 
 


     

    UMEPS merging with main86.cc
     
 
The UMEPS procedure is illustrated in the sample main program 
main86.cc (with the input card main86.cmnd). This 
program produces HepMC events Dob01, that can be histogrammed (e.g. 
using RIVET Buc10), or used as input for a detector simulation. If 
the user is not familiar with HepMC analysis tools, it is possible to instead 
use Pythia's histogramming routines. For this, remove the lines referring to 
HepMC, and histogram events as illustrated (for CKKW-L) for the histogram 
histPTFirstSum in main84.cc, i.e. using 
weight*normhepmc as weight. 
 

     
In principle, no changes to main86.cc are necessary. Instead, all 
settings can be transferred to main86.cc through an input file. 
The input LHE files are also part of the (command line) input of 
main86.cc. Note  that the sample program assumes that LHE file 
names are of the form name_tree_#nAdditionalJets.lhe. If you want to 
e.g. use the LHE files that are shipped with the Pythia distribution, you can 
execute main86.exe with the command 

     
./main86.exe ./main86.cmnd ./w_production ./myhepmc.hepmc 

     
 
Since main86.cc is currently the "front-end" for UMEPS merging, 
we will briefly discuss this sample program in the following. 
 

    Inputs
     
 
In its current form, main86.cc uses separate tree-level LHE files 
for different numbers of additional partons as input. If e.g. UMEPS merging 
for W-boson + up to two additional partons is to be performed, three LHE files 
(for W+zero, W+one, W+two partons) are required. The configurations in the 
input files should be regularised with inclusive (i.e. weak) cuts. The actual 
"merging scale cut" will be handled internally. If e.g. 
Merging:TMS = 15 is the desired merging scale value, 
it is acceptable 
to regularise the matrix element calculation for Higgs+jets events at the LHC 
with the loose cuts pTjet = 5 GeV, 
 ΔRjetA jetB = 0.01 and 
 QjetA jetB = 5 GeV. 
 

     
All input settings are handed to main86.cc in the form of an 
input file. This input file has to contain 

     
          The number of desired events 
(Main:numberOfEvents) 

     
          The hard process 
(Merging:Process) 

     
          The merging scale value 
(Merging:TMS) 

     
          The maximal number of additional partons 
(Merging:nJetMax). 
 

     
Other settings are of course allowed. However, please refrain from adding 
switches that are used to invoke other merging schemes (e.g. 
Merging:doKTMerging) into the input file, since this can 
cause problems. 
 
 

    Program flow
     
 
The sample program starts by estimating the cross section for samples with 
different jet multiplicities. For this, the switch 
Merging:doXSectionEstimate is invoked together with the merging 
scale definition of Merging:doUMEPSTree, which corresponds to the 
minimal Pythia evolution pT value. We will come back to the latter switch 
below. All showering, multiparton interactions and hadronisation is, for speed 
reasons, switched off when estimating the cross section, since the hard cross 
section estimate would not be influenced by the event evolution anyway. 
 

     
After the hard cross sections are known (including the application of the 
merging scale cut), the first part of the UMEPS events is generated by 
using the following switch. 
 
 
Reweight events according to the UMEPS prescription for tree-level 
configurations. 
 
 

     
The weight generated by the UMEPS procedure can be accessed by using the 
function  double Info::mergingWeight(). 
When printing (or histogramming) merged events, this weight, multiplied 
with the estimated cross section for the current sample, should be 
used as event weight (or to fill histogram bins). 
 

     
After this first part is complete, the outcome is an addition of reweighted 
tree-level samples. To restore the inclusive cross section (i.e. that the 
cross section after merging corresponds to the cross section of the hard 
process, without any additional jets), it is necessary to subtract samples. 
Parton shower unitarity leads to the conclusion that "resolved" and 
"unresolved" corrections always cancel between states that contain an 
additional resolved jet, and states in which we "integrate over" the phase 
space of the additional jet. 
main86.cc makes this cancellation explicit by producing 
(correctly weighted) counter events by switching on 
 
 
Reweight events according to the UMEPS prescription of reweighted, 
integrated configurations. Please note that, in order for this to work 
smoothly, the switch Merging:doUMEPSTree has to be turned off. 
 
 

     The integration is achieved internally, and the number of desired 
integrations (which is always one for UMEPS counter events) is set by 
 
 
Number of hard partons to integrate out in the UMEPS procedure. 
 
 

     Again, the weight generated by the UMEPS procedure can be accessed by 
using the function  double Info::mergingWeight(). This 
weight, multiplied with the cross section of the current sample, and 
multiplied by -1, should then be used as event weight (or to fill 
histogram bins). 
 

     
Before returning, main86.cc prints the merged cross section 
after UMEPS merging. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/BeamParameters.xml0000444000175000017500000002707312357055014017250 0ustar  sunsun 
 

    Beam Parameters
     
 
The settings on this page relate to the beam identities and energies, 
to a beam momentum spread and to a beam interaction spot. 
As always, momenta and energies are to be given in units of GeV, 
and of space and time in mm. 
 

    Incoming beams
     
 
There are two ways to set the identities and energies of the two incoming 
beam particles. One is to use the init() method with no 
arguments. Then the settings variables below will be read and used. The 
alternative is to call init(...) 
with arguments that provide this information. Then you need not use the 
variables below (although it would still be possible). Note that, if nothing 
is done, you will default to LHC at 14 TeV. 
 

     
Currently the beam particles must be either a hadron pair or a lepton 
pair. In the former category p p and pbar p 
combinations dominate, but it is also possible to combine with 
pi^+, pi^- and pi^0. In the latter 
e^+ e^- and mu^+ mu^- would be the most useful 
combinations, but also others should work if combined with an 
appropriate hard process. 
 
 
The PDG id code for the first incoming particle. 
Allowed codes include 

    2212 = p, -2212 = pbar, 

    2112 = n, -2112 = nbar, 

    211 = pi^+, -211 = pi^-, 111 = pi^0, 

    990 = Pomeron (used in diffractive machinery; 
here mainly for debug purposes), 

    11 = e^-, -11 = e^+, 

    13 = mu^-, -13 = mu^+, 

    and a few more leptons/neutrinos in a few combinations. 
     
 
 
The PDG id code for the second incoming particle. 
 
  
 
Choice of frame for the two colliding particles. For options 
1 - 3 the beam identities are specified above, while they are 
obtained by the Les Houches information for options 4 and 5. 
 
 
 
 
 
 
 
 
Collision CM energy, to be set if Beams:frameType = 1. 
 
 
 
The energy of the first incoming particle, moving in the 
+z direction, to be set if Beams:frameType = 2. 
If the particle energy is smaller than its mass 
it is assumed to be at rest. 
 
 
 
The energy of the second incoming particle, moving in the 
-z direction, to be set if Beams:frameType = 2. 
If the particle energy is smaller than its mass 
it is assumed to be at rest. 
 
 
 
The p_x component of the first incoming particle, 
to be set if Beams:frameType = 3. 
 
 
 
The p_y component of the first incoming particle, 
to be set if Beams:frameType = 3. 
 
 
 
The p_z component of the first incoming particle, 
to be set if Beams:frameType = 3. 
 
 
 
The p_x component of the second incoming particle, 
to be set if Beams:frameType = 3. 
 
 
 
The p_y component of the second incoming particle, 
to be set if Beams:frameType = 3. 
 
 
 
The p_z component of the second incoming particle, 
to be set if Beams:frameType = 3. 
 
 
 
The name of a Les Houches Event File, 
to be set if Beams:frameType = 4. 
 
 
 
As some information in a Les Houches Event File init block is only known 
at the end of generation, some programs choose to output this as a 
separate file. If Beams:LHEFheader is given, information up 
till the end of the init block is read from this file, with 
the events themselves read as usual from the file given in 
Beams:LHEF. 
 
 
 
Allow to begin reading events from a new LHEF or or a new 
LHAup instance without a completely new initialization. 
Only useful when Beams:frameType = 4 or 5. 
 
 
 
Read in LHEF header blocks and store them in the 
Info class. See also 
LHAupLHEF for more information. 
 
 
 
Skip the first nSkip events of the input stream 
(cf. the LHAup::skipEvent(nSkip) method). 
Only used when Beams:frameType = 4 or 5. 
 
 

    Beam momentum spread
     
 
This framework currently is intended for a modest beam spread, such as 
experienced at hadron colliders. Thus it can be safely assumed that the 
physics does not change over the CM energy range probed, so that the 
parameters of the physics initialization at the nominal energy can be 
used as is. Currently it can not be used for the more extensive 
energy spread expected at linear e^+ e^- colliders. Also, 
any attempt to combine it with external Les Houches input of 
parton-level events is at own risk. 
      

     
On this page you can set the momentum spread according to a simple 
Gaussian distribution. If you instead want a more sophisticated 
parametrization, you can write and link your own 
BeamShape class. 
 
 
Allow the beam momenta to be smeared around their initialization 
nominal values. 
 
 
 
The width of a Gaussian distribution of the p_x spread of the 
first incoming particle. 
 
 
 
The width of a Gaussian distribution of the p_y spread of the 
first incoming particle. 
 
 
 
The width of a Gaussian distribution of the p_z spread of the 
first incoming particle. 
 
 
 
The triply Gaussian distribution (p_x, p_y, p_z) is restricted to 
a maximal total deviation from the nominal values (p_x0, p_y0, p_z0) 
for the first incoming particle, like 
 
(p_x - p_x0)^2/sigma_px^2 + (p_y - p_y0)^2/sigma_py^2 + 
(p_z - p_z0)^2/sigma_pz^2 < maxDev^2 
 
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (p_x, p_y, p_z).) 
 
 
 
The width of a Gaussian distribution of the p_x spread of the 
second incoming particle. 
 
 
 
The width of a Gaussian distribution of the p_y spread of the 
second incoming particle. 
 
 
 
The width of a Gaussian distribution of the p_z spread of the 
second incoming particle. 
 
 
 
The triply Gaussian distribution (p_x, p_y, p_z) is restricted to 
a maximal total deviation from the nominal values (p_x0, p_y0, p_z0), 
for the second incoming particle, like 
 
(p_x - p_x0)^2/sigma_px^2 + (p_y - p_y0)^2/sigma_py^2 + 
(p_z - p_z0)^2/sigma_pz^2 < maxDev^2 
 
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (p_x, p_y, p_z).) 
 
 

    Beam interaction vertex
     
 
On this page you can set the spread of the interaction vertex according to 
a simple Gaussian distribution. If you instead want a more sophisticated 
parametrization, you can write and link your own 
BeamShape class. 
 
 
Allow the interaction vertex of the two colliding beams to be smeared. 
If off, then the vertex is set to be the origin. 
 
 
 
The width of a Gaussian distribution of the x location of the 
interaction vertex. 
 
 
 
The width of a Gaussian distribution of the y location of the 
interaction vertex. 
 
 
 
The width of a Gaussian distribution of the z location of the 
interaction vertex. 
 
 
 
The triply Gaussian distribution of interaction vertex position 
(x, y, z) is restricted to a maximal total deviation from the 
origin, like 
 
x^2/sigma_x^2 + y^2/sigma_y^2 + z^2/sigma_z^2 < maxDevVertex^2 
 
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (x, y, z).) 
 
 
 
The width of a Gaussian distribution of the collision time (in units of 
mm/c). Note that, if the above space parametrization is viewed as the 
effect of two incoming beams along the +-z axis, with each beam 
having a Gaussian spread, then the spread of the time would also become 
a Gaussian with the same width as the z one (times the 
velocity of the beams, which we expect is close to unity). For flexibility 
we have not enforced any such relation, however. 
 
 
 
The collision time is restricted to be in the range 
|t| < sigma_t * maxDevTime. 
 
 

     
The distributions above are all centered at the origin. It is also 
possible to shift the above distributions to be centered around another 
nominal position. You must have Beams:allowVertexSpread = on 
to use this possibility. 
 
 
The x location of the interaction vertex is centered at this value. 
 
 
 
The y location of the interaction vertex is centered at this value. 
 
 
 
The z location of the interaction vertex is centered at this value. 
 
 
 
The time t of the interaction vertex is centered at this value. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/SUSYLesHouchesAccord.xml0000444000175000017500000004005012357055030020246 0ustar  sunsun 
 

    SUSY Les Houches Accord
     
 
The PYTHIA 8 program does not contain an internal spectrum calculator 
(a.k.a. RGE package) to provide supersymmetric couplings, mixing angles, 
masses and branching ratios. Thus the SUSY Les Houches Accord (SLHA) 
Ska04All08 is the only way of 
inputting SUSY models, and SUSY processes (see 
the SUSYProcesses page) 
cannot be run unless such an input has taken place. 
 

     
The SLHA input format can also be extended for use with more general BSM 
models, beyond SUSY. Information specific to  how to use the SLHA 
interface for generic BSM models is collected below, 
under Using SLHA for generic BSM Models, with 
more elaborate explanations and examples in Des11. 
 

     
Most of the SUSY implementation in PYTHIA 8 is compatible with both the 
SLHA1 Ska04 and SLHA2 All08 
conventions (with some limitations for the NMSSM 
in the latter case). Internally, PYTHIA 8 uses the 
SLHA2 conventions and translates SLHA1 input to these when necessary. 
See the section on SUSY Processes and Des11 for more 
information. Note that PYTHIA assumes that a spectrum is either fully SHLA1 
or fully SLHA2 compliant. Mixing of the two standards is discouraged, as 
this can lead to ambiguities and inconsistencies. 
 

     
When reading LHEF files, Pythia automatically looks for SLHA information 
between <slha>...</slha> tags in the header of such 
files. When running Pythia without LHEF input (or if reading an LHEF 
file that does not contain SLHA information in the header), a separate 
file containing SLHA information may be specified using 
SLHA:file (see below). 
 

     
Normally the LHEF would be in uncompressed format, and thus human-readable 
if opened in a text editor. A possibility to read gzipped files has 
been added, based on the Boost and zlib libraries, which therefore 
have to be linked appropriately in order for this option to work. 
See the README file in the main directory for details 
on how to do this. 
 

     
Finally, the SLHA input capability can of course also be used to input 
SLHA-formatted MASS and DECAY tables for 
other particles, such as the Higgs boson, furnishing a less 
sophisticated but more universal complement to the 
standard PYTHIA 8-specific methods for inputting such information (for the 
latter, see the section on Particle Data 
and the scheme to modify it). This 
may at times not be desirable, so a few options can be used to curb the right 
of SLHA to overwrite particle data. 
Conversely, it is sometimes useful to allow the user to modify 
eg a mass parameter relative to its value in the SLHA spectrum. 
This is normally not permitted (the SLHA spectrum is normally self-consistent 
and should not be modified), but an option for allowing it is provided. 
 

     
The reading-in of information from SLHA or LHEF files is handled by the 
SusyLesHouches class, while the subsequent calculation of 
derived quantities of direct application to SUSY processes is done in the 
CoupSUSY, SigmaSUSY, 
and SUSYResonanceWidths classes. 
 

    Sanity Checks
     
 
As an aid for basic validation, some checks and ranges are imposed 
 on SLHA input during initialization, as follows: 

       

    • Several parameters (SLHA:keepSM, minMassSM, 
and SLHA:allowUserOverride) provide some safety against 
unintentionally overwriting PYTHIA's Standard-Model information. 
These parameters can be altered to hand over more or less control to the SLHA 
interface. In particular, 
a lot of mass and decay-table information may be included by default in some 
SLHA files, without it being the explicit intention of the user to overwrite 
the corresponding PYTHIA information. The default 
values of the SLHA safety parameters have been chosen so as to eliminate 
at least the most obvious causes of Garbage In Garbage Out. 
(E.g., there is usually no reason to modify the masses of well-measured SM 
particles, like the W and Z bosons, nor to replace their sophisticated 
internal decay treatments by the simplified isotropic treatment used for 
SLHA DECAY tables.) 

      •  

    • For SLHA SUSY spectra, the interface checks  the mass-ordering of the 
Higgs, Neutralino, and  Chargino sectors, and the unitarity/orthogonality 
of the mixing matrices. It also performs some additional self-consistency 
checks on whether the correct SLHA BLOCKs for the given SUSY model have been 
included, and whether all required entries have been defined. 

      •  

    • If MASS or DECAY information for a particle has been changed by SLHA 
input, the following sanity checks will be carried out. The particle will 
be declared stable unless there is at least one on-shell decay channel open 
(regardless of the presence of any DECAY information). In particular, 
massless particles will always be declared stable. A lower cutoff is imposed 
on the Breit-Wigner shape of the particle, requiring its mass to remain above 
the sum of masses for the lightest decay channel. Subject to that constraint, 
the lower cutoff will normally be placed at 5 times the width (so that the 
default gives a decent sampling of the shape), but the user is allowed to 
use the mMin parameter to choose a larger sampling range if so 
desired (still subject to the on-shell constraint). 

      •  

    • For each decay channel in an SLHA DECAY table, PYTHIA will checks the 
available phase space. If the channel is on shell (sum of daughter masses is 
less than mass of decaying particle), then the threshold dependence is given 
by SLHA:meMode. If the channel is off shell, then an 
meMode of 100 is always used. As a further protection against 
GIGO, if the channel appears to be physically impossible (defined as requiring 
fluctuations of more than more than 100 times the effective combined widths), 
it is switched of and a warning message is printed. 

      •  

    • DECAY table branching fractions are always interpreted as positive. 
However, a negative sign for one or more channels can be given, and will 
then be interpreted to mean that the corresponding channel(s) should be 
switched off for the current run. This furnishes a simple way to switch 
SLHA DECAY channels on and off while preserving the sum of branching 
fractions equal to unity. 

      •  

     
Note that these sanity checks will not catch all possible cases of 
Garbage In Garbage Out, so human verification of the input files is always a 
good idea, as is taking a look at any warnings or error messages printed by 
the SLHA interface during initialization. It is ultimately up to the user to 
ensure that sensible input is being given. 
 

    SLHA Switches and Parameters
     
 
 
Controls from where SLHA information is read. 
 
 
 
 
 
 
Name of an SLHA (or LHEF) file containing the SUSY/BSM model definition, 
spectra, and (optionally) decay tables. Default void 
signals that no such file has been assigned. 
 
 
 
Some programs write SLHA output also for SM particles where normally 
one would not want to have masses and decay modes changed unwittingly. 
Therefore, by default, known SM particles are ignored in SLHA files. 
To be more specific, particle data for identity codes in the ranges 
1 - 24 and 81 - 999,999 are ignored. Notably this includes Z^0, 
W^+- and t. The SM Higgs is modified by the SLHA input, 
as is other codes in the range 25 - 80 and 1,000,000 - . If you 
switch off this flag then also SM particles are modified by SLHA input. 
 
 
 
This parameter provides an alternative possibility to ignore SLHA input 
for all particles with identity codes below 1,000,000 (which mainly 
means SM particle, but also includes e.g. the Higgs bosons in 
two-Higgs-doublet scenarios) whose default masses in PYTHIA lie below 
some threshold value, given by this parameter. The default value of 
100.0 allows SLHA input to modify the top quark, but not, e.g., the 
Z^0 and W^+- bosons. 
 
 
 
Flag to set whether the user is allowed to modify the parameters read 
from an SLHA spectrum. Is normally kept off to preserve the 
internal self-consistency of SLHA spectra. If this flag is switched 
on, the mass values read from the SLHA block MASS are 
allowed to be modified by the user, using PYTHIA's standard 
readString and related methods. 
 
 

    SLHA DECAY Tables
     
 
In addition to SUSY spectra, the SLHA also defines a set of conventions for 
decay tables. These are not restricted to SUSY models, but can be used for 
arbitrary particles, either in combination with or independently of 
the SUSY parts of the Accord. The settings in this section control whether and 
how PYTHIA will make use of such tables. See also the comments under 
sanity checks above. 
Note: the PYTHIA SLHA interface is limited to at most 
1→8 decays. 
 
 
Switch to choose whether to read in SLHA DECAY tables or not. 
If this switch is set to off, PYTHIA will ignore any decay tables found 
in the SLHA file, and all decay widths will be calculated internally by 
PYTHIA. If switched on, SLHA decay tables will be read in, and will 
then supersede PYTHIA's internal calculations, with PYTHIA only 
computing the decays for particles for which no SLHA decay table is 
found. (To set a particle stable, you may either omit an SLHA 
DECAY table for it and then 
use PYTHIA's internal id:MayDecay switch for that 
particle, or you may include an SLHA DECAY table for it, 
with the width set explicitly to zero.) 
 
 
 
This value specifies how threshold, off-shell, and phase-space 
weighting effects for SLHA decay channels should be treated, using the same 
numbering scheme as for resonances. 
The default (100) is to use the branching fraction given in the SLHA 
DECAY tables without any modifications. The 
corresponding partial widths remain unchanged 
when the resonance fluctuates in mass. Specifically there are no 
threshold corrections. That is, if the resonance fluctuates down in 
mass, to below the nominal threshold for some decay mode, 
it is assumed that one of the 
daughters could also fluctuate down to keep the channel open. (If not, 
there may be problems later on.) 
Alternative options (with values 101+) documented under 
resonances allow for some flexibility to 
apply threshold factors expressing the closing of the on-shell phase space 
when the daughter masses approach or exceed the parent one. 
Note that modes that are extremely far off shell 
(defined as needing a fluctuation of more than 100 times the 
root-sum-square of the widths of the mother and daughter particles) 
will always be assigned meMode = 100 and should be 
switched off by hand if so desired. 
It is up 
to the user to ensure that the final behaviour is consistent with what 
is desired (and/or to apply suitable post facto reweightings). 
Plotting the generator-level resonance and decay-product mass 
distributions (and e.g., mass differences), effective branching 
fractions, etc, may be of assistance to validate the behaviour of the 
program. 
 
 

    Internal SLHA Variables
     
 
 
Controls amount of text output written by the SLHA interface, with a 
value of 0 corresponding to the most quiet mode. 
 
 
The following variables are used internally by PYTHIA as local copies 
of SLHA information. User changes will generally have no effect, since 
these variables will be reset by the SLHA reader during initialization. 
 
 
Corresponds to SLHA block MODSEL entry 3. 
 
 
 

    Using SLHA for generic BSM Models
     
 

     
Using the QNUMBERS extension Alw07, the SLHA 
can also be used to define new particles, with arbitrary quantum 
numbers. This already serves as a useful way to introduce new 
particles and can be combined with MASS and 
DECAY tables in the usual 
way, to generate isotropically distributed decays or even chains of 
such decays. (If you want something better than isotropic, sorry, you'll 
have to do some actual work ...) 

     
 

     
A more advanced further option is to make use of the possibility 
in the SLHA to include user-defined blocks with arbitrary 
names and contents. Obviously, standalone 
PYTHIA 8 does not know what to do with such information. However, it 
does not throw it away either, but instead stores the contents of user 
blocks as strings, which can be read back later, with the user 
having full control over the format used to read the individual entries. 

     
 

     
The contents of both standard and user-defined SLHA blocks can be accessed 
in any class inheriting from PYTHIA 8's SigmaProcess 
class (i.e., in particular, from any semi-internal process written by 
a user), through its SLHA pointer, slhaPtr, by using the 
following methods: 

     
bool slhaPtr->getEntry(string blockName, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, int jndx, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, int jndx, int kndx, double& val); 

     

     
 

     
This particular example assumes that the user wants to read the 
entries (without index, indexed, matrix-indexed, or 3-tensor-indexed, 
respectively) in the user-defined block blockName, 
and that it should be interpreted as 
a double. The last argument is templated, and hence if 
anything other than a double is desired to be read, the 
user has only to give the last argument a different type. 
If anything went wrong (i.e., the block doesn't 
exist, or it doesn't have an entry with that index, or that entry 
can't be read as a double), the method returns false; true 
otherwise. This effectively allows to input completely arbitrary 
parameters using the SLHA machinery, with the user having full control 
over names and conventions. Of course, it is then the user's 
responsibility to ensure complete consistency between the names and 
conventions used in the SLHA input, and those assumed in any 
user-written semi-internal process code. 

     
 

     
Note that PYTHIA 8 always initializes at least 
the SLHA blocks MASS and SMINPUTS, starting from its internal 
SM parameters and particle data table values (updated to take into 
account user modifications). These blocks can therefore be accessed 
using the slhaPtr->getEntry() methods even in the absence 
of SLHA input. 
Note: in the SMINPUTS block, PYTHIA outputs physically correct 
(i.e., measured) values of GF, m_Z, and 
alpha_EM(m_Z). However, if one attempts to compute, e.g., 
the W mass, at one loop from these quantities, a value of 79 GeV results, 
with a corresponding value for the weak mixing angle. We advise to 
instead take the physically measured W mass from block MASS, and 
recompute the EW parameters as best suited for the application at hand. 

     
 
     
 
 
 
 
pythia8-8.1.86.orig/xmldoc/RHadrons.xml0000444000175000017500000001611612357055027016100 0ustar  sunsun 
 

    R-hadrons
     
 
When a coloured SUSY particle is longer-lived than typical 
hadronization scales, i.e. around c*tau > 1 fm, or equivalently 
width Gamma < 0.2 GeV, it will have time to hadronize into a colour 
singlet hadronic state, a R-hadron. Currently a set of such 
R-hadrons have been implemented for the case of a long-lived 
gluino, stop or sbottom. Needless to say, the normal case would be 
that only one of them will be long-lived enough to form R-hadrons. 
 

     
For simplicity all gluino-mesons are assumed to have light-flavour 
spin 1, since those are the lightest and favoured by spin-state 
counting. Further, all gluino-baryons are bookkept as having 
light-flavour spin 3/2, and flavours are listed in descending order. 
This is more for convenience of notation, however, since the normal 
baryon octet e.g. has no uuu = "p++" state. When a diquark is 
extracted, a mixture of spin 0 and spin 1 is allowed. Names and codes 
are essentially in agreement with the PDG conventions, e.g. 

    1000993 R0(~g g) (or gluinoball) 

    1009213 R+(~g u dbar) (or gluino-rho+) 

    1092214 R+(~g uud) (or gluino-Delta+) 

    For internal bookkeeping of momenta, the code 1009002, 
Rtemp(~g q), is used to denote the intermediate 
state formed when only one of the two string pieces attached to 
the gluino has broken. 
 

     
For the stop- and sbottom-hadrons the spin counting is simpler, 
since it is entirely given by the constituent quark or diquark spin. 
Again names and codes follow PDG conventions, e.g. 

    1000612 R+(~t dbar) 

    1006211 R+(~t ud0) 
 

     
The spin and electromagnetic charge of the new particle plays only 
a minor role in the hadronization process, that can be neglected 
to first approximation. Therefore it is possible to use the same 
R-hadrons framework instead for other BSM scenarios with long-lived 
coloured particles, e.g. with massive extra-dimensions copies 
of gluons and quarks, or with leptoquarks. This can be regulated by 
the switches below. Note that the codes and names of the R-hadrons 
is not changed when the heavy particle involved is switched, for 
reasons of administrative simplicity. R-hadron mass spectra and 
other relevant particle data is automatically updated to reflect 
the change, however. 
 
 
Allows the gluino, stop and sbottom to hadronize if their respective 
widths are below the limit RHadrons:maxWidth. 
 
 
 
The maximum width of the gluino for which it is possible to form 
R-hadrons, provided that RHadrons:allow is on. 
 
 
 
The gluino identity code. For other scenarios than SUSY this code 
could be changed to represent another long-lived uncharged colour 
octet particle, that then would be treated in the same spirit. 
Could be set to 0 to forbid any gluino R-hadron formation even when 
the above two criteria, RHadrons:allow 
and RHadrons:maxWidth, are met. 
 
 
 
The lightest stop identity code. For other scenarios than SUSY this 
code could be changed to represent another long-lived charge 2/3 
colour triplet particle, that then would be treated in the same 
spirit. As above it could be set to 0 to forbid any stop R-hadron 
formation. 
 
 
 
The lightest sbottom identity code. For other scenarios than SUSY this 
code could be changed to represent another long-lived charge -1/3 
colour triplet particle, that then would be treated in the same 
spirit. As above it could be set to 0 to forbid any sbottom R-hadron 
formation. 
 
 
 
Allows the R-hadrons to decay or not. If the gluino/stop/sbottom is 
stable or too long-lived to decay inside the detector this switch 
has no real function, since then no decays will be performed anyway. 
If the sparticle is so short-lived that it decays before reaching 
the beam pipe then having the decay on is the logical choice. 
So the interesting region is when the decays happens after the 
R-hadron has passed through part of the detector, and changed its 
momentum and quite possibly its flavour content before it is to 
decay. Then normal decays should be switched off, and the R-hadron 
tracked through matter by a program like GEANT 
Kra04,Mac07. After that, the new R-hadron info can be 
overwritten into the event record and the 
Pythia::forceRHadronDecay() method can be called 
to force this modified R-hadron to decay. 
 
 
 
Use simple mass formulae to construct all available R-hadron masses 
based on the currently initialized gluino/squark masses and the 
constituent masses of the other partons in the hadron. If you switch 
this off, it is your responsibility to set each of the R-hadron masses 
on your own, and set them in an internally consistent way. If you 
mess up on this you may generate accordingly crazy results. 
Specifically, it is to be assumed that none of the R-hadrons has a 
mass below its constituent sparticle, i.e. that the light degrees 
of freedom and the additional confinement gluon field gives a net 
positive contribution to the R-hadron mass. 
 
 
 
The fraction of produced gluino R-hadrons that are contain a "valence" 
gluon, with the rest containing a meson or baryon quark flavour content. 
 
 
 
Extra mass (in GeV) added to each of the one or two extra constituent 
masses in an R-hadron, to calculate the mass of a R-hadron. The same 
offset is also used when the R-hadron momentum and mass is split 
between the squark or gluino and the one or two light (di)quarks, 
one for a squark and two for a gluino. Thus once or twice this amount 
represents a part of the nominal squark or gluino mass that will not 
decay weakly, since it is taken to correspond to the cloud of gluons 
that surround the squark or gluino. 
 
 
 
A colour singlet system with an invariant mass less than this amount, 
above the R-hadron mass with the given flavour content, is assumed to 
collapse to this single R-hadron, whereas a full fragmentation handling 
is applied above this mass. 
 
 
 
Probability that a diquark extracted from the flavour code of a gluino 
R-hadron should be assigned spin 1, with the rest being spin 0. Does 
not apply for two identical quarks, where spin 1 is only possibility. 
Note that gluino R-hadron codes for simplicity are assigned as if spin 
is 1 always, and so give no guidance. For stop and sbottom the diquark 
spin is preserved in the particle code, so there is no corresponding 
issue. 
 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/CompositenessProcesses.xml0000444000175000017500000001612412357055014021075 0ustar  sunsun 
 

    Compositeness Processes
     
 
Compositeness scenarios may give rise to sharp resonances of excited 
quarks and leptons. An excited copy of the first generation is 
implemented, consisting of spin 1/2 particles. The possibility of 
contact interactions between SM fermions is also implemented in the 
context of 2 → 2 quark or fermion-lepton scattering. 
 

     
Related to excited fermions, the current implementation contains gauge 
interaction production by quark-gluon fusion or lepton-photon fusion 
and contact interaction production by quark-quark or quark-antiquark 
scattering. For both the 2 → 1 and 2 → 2 processes 
a non-trivial angular dependence is included in the decay, however, 
only decays into gauge bosons are supported, i.e. not decays through 
contact interactions. In additions to the compositeness scale and couplings 
listed below, you are expected to change the excited-fermion masses in 
accordance with what is desired. See Bau90 for conventions. 
 

     
The contact interactions are implemented according to Eic83. 
The processes include the SM contributions as well as interference. 
For this reason the processes below converge toward the SM equivalents 
when the contact interaction contributions are close to zero, e.g. 
HardQCD:qq2qq and HardQCD:qqbar2qqbarNew in 
the case of quark scattering. 
 

    Excited fermions, production processes
     
 
A few different production processes have been implemented, which normally 
would not overlap and therefore could be run together. 
 
 
Common switch for the group of implemented processes that produce an 
excited fermion. 
 
 
 
Scatterings d g → d^*. 
Code 4001. 
 
 
 
Scatterings u g → u^*. 
Code 4002. 
 
 
 
Scatterings s g → s^*. 
Code 4003. 
 
 
 
Scatterings c g → c^*. 
Code 4004. 
 
 
 
Scatterings b g → b^*. 
Code 4005. 
 
 
 
Scatterings e gamma → e^*. 
Code 4011. 
 
 
 
Scatterings mu gamma → mu^*. 
Code 4013. 
 
 
 
Scatterings tau gamma → tau^*. 
Code 4015. 
 
 
 
Scatterings q q(bar) → d^* q(bar). 
Code 4021. 
 
 
 
Scatterings q q(bar) → u^* q(bar). 
Code 4022. 
 
 
 
Scatterings q q(bar) → s^* q(bar). 
Code 4023. 
 
 
 
Scatterings q q(bar) → c^* q(bar). 
Code 4024. 
 
 
 
Scatterings q q(bar) → b^* q(bar). 
Code 4025. 
 
 
 
Scatterings q qbar → e^*+- e^-+. 
Code 4031. 
 
 
 
Scatterings q qbar → nu_e^* nu_ebar. 
Code 4032. 
 
 
 
Scatterings q qbar → mu^*+- mu^-+. 
Code 4033. 
 
 
 
Scatterings q qbar → nu_mu^* nu_mubar. 
Code 4034. 
 
 
 
Scatterings q qbar → tau^*+- tau^-+. 
Code 4035. 
 
 
 
Scatterings q qbar → nu_tau^* nu_taubar. 
Code 4036. 
 
 

    Excited fermions, parameters
     
 
The basic couplings of the model are 
 
 
Compositeness scale Lambda in GeV. 
 
 
 
Strength f of the SU(2) coupling. 
 
 
 
Strength f' of the U(1) coupling. 
 
 
 
Strength f_c of the SU(3) coupling. 
 
 

    Contact interactions, production processes
     
 
The processes including contact interactions are 
 
 
Scatterings q q → q q including contact interactions. 
Code 4201. 
 
 
 
Scatterings q qbar → q' qbar' including contact interactions. 
Code 4202. 
 
 
 
Scatterings f fbar → e- e+ including contact interactions. 
Code 4203. 
 
 
 
Scatterings f fbar → mu- mu+ including contact interactions. 
Code 4204. 
 
 
 
Scatterings f fbar → tau- tau+ including contact interactions. 
Code 4205. 
 
 

    Contact interactions, parameters
     
 
 
Number of allowed outgoing new quark flavours in the above 
q qbar → q' qbar' process. Similar to HardQCD:nQuarkNew 
for the QCD processes. 
 
 
 
Compositeness scale Lambda in GeV. Its overall normalization 
is largely a matter of convention. The choice made here for the 
q qbar → l- l+ processes is such that the pure contact 
interaction part of the left-left interactions (i.e. disregarding 
gamma^*, Z^0 and interference terms) has the form 
d(sigmaHat)/d(tHat) = pi * uHat^2 / (3 * sHat^2 * Lambda^4). 
The corresponding part of the q qbar → q' qbar' cross section 
is a factor 3 larger from colour. 
 
 
 
Helicity parameter. 
 
 
 
 
 
 
Helicity parameter. 
 
 
 
 
 
 
Helicity parameter. 
 
 
 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/Bibliography.xml0000444000175000017500000003171012357055014016764 0ustar  sunsun 
 

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pythia8-8.1.86.orig/xmldoc/HadronScattering.xml0000444000175000017500000000676712357055020017623 0ustar  sunsun 
 

    Hadron Scattering
     
 
A simple hadron scattering model. It is intended to take into account 
that the overlap of multiple strings at low transverse dimensions 
is likely to lead to some collective effects, not unlike those 
observed in heavy-ion collisions, even if not quite as pronounced. 
Specifically, it is assumed that the hadrons produced can scatter 
against each other on the way out, before the fragmenting system 
has had time to expand enough that the hadrons get free. Thereby 
heavier particles are shifted to higher transverse momenta, at the 
expense of the lighter ones. 
 
Warning: This is still at an experimental level, 
and should not be used unless you know what you are doing. 
 
 
Master flag for hadron scattering. 
 
 
 
Perform hadron scattering before or after first round of decays, 
involving very short-lived particles like the rho. 
The default is to perform scattering directly after the 
string fragmentation, before any decays. 
 
 
 
Allow two hadrons with same parent hadron to scatter. 
 
 
 
Allow hadrons which have already scattered to scatter again. 
Even if switched on, the same pair can not scatter off each 
other twice. 
 
 

    Hadron selection
     
 
 
Probability that a hadron is soft enough to scatter. 
(A high-pT hadron presumably being part of a jet, 
and thus produced away from the high-particle-density region 
at small transverse dimensions.) 
 
 
 
 
N parameter as above. 
 
 
k parameter as above. 
 
 
p parameter as above. 
 
 

    Scattering probability
     
 
 
Probability for a pair of hadrons to scatter. 
 
 
 
 
 
 
j parameter as above. 
 
 
rMax parameter as above. 
 
 
 
Use tiling in (eta, phi) to reduce number of pairwise tests. 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/HepMCInterface.xml0000444000175000017500000001701612357055020017126 0ustar  sunsun 
 

    HepMC Interface
     
 
An interface to the HepMC Dob01 standard event record 
format has been provided by M. Kirsanov. To use it, the relevant 
libraries need to be linked, as explained in the README 
and README.HepMC files. Only version 2.06 (or later) 
of HepMC is supported as of 1 January 2013, by agreement with the 
LHC experimental community. 
 

     
The (simple) procedure to translate PYTHIA 8 events into HepMC ones 
is illustrated in the main41.cc, main42.cc 
main61.cc and main62.cc 
main programs. At the core is a call to the 

     
HepMC::Pythia8ToHepMC::fill_next_event( pythia, hepmcevt, ievnum = -1) 

     
which takes a reference of the generator object and uses it, on the one 
hand, to read out and convert the event record in pythia.event 
and, on the other hand, to extract and store parton-density (PDF), 
cross section and other information for the hard subprocess from 
pythia.info. There is also an alternative form that 
does not requires access to the full pythia object, 
but only the event record, at the expense of a reduced information 
storage, see below. 
 

     
While PYTHIA always stores momenta in units of GeV, with c = 1, 
HepMC nowadays can be built either for MeV or GeV as default, a choice 
that can then be overridden on an event-by-event basis, see e.g. the 
main41.cc code. When filling the HepMC event record, PYTHIA 
will convert to the unit specified for the current HepMC event record. 
 

     
Also for length units there are choices, and again the PYTHIA interface 
will convert to the units set for the HepMC event record. Here the mm 
choice of PYTHIA seems to be shared by most other programs, and is 
HepMC default. 
 

     
The status code is now based on the new standard introduced for HepMC 2.05, 
see the Event::statusHepMC(...) 
conversion routine for details. 
 

     
The current values from pythia.info.sigmaGen() and 
pythia.info.sigmaErr() are stored for each event, 
multiplied by 10^9 to convert from mb to pb. Note that 
PYTHIA improves its accuracy by Monte Carlo integration in the course 
of the run, so the values associated with the last generated event 
should be the most accurate ones. If events also come with a dimensional 
weight, like in some Les Houches strategies, this weight is in units of pb. 
 

    The public methods
     
 
Here comes a complete list of all public methods of the 
Pythia8ToHepMC class in the HepMC 
(not Pythia8!) namespace. 
 
 
 
 
the constructor and destructor take no arguments. 
 
 
 
convert a Pythia event to a HepMC one. 
Will return true if succeeded. 
 
the input Pythia generator object, from which both the 
event and other information can be obtained. 
 
 
the output GenEvt event, in its standard form. 
 
 
set the event number of the current event. If negative then the 
internal event number is used, which is incremented by one for 
each new event. 
 
 
 
 
convert a Pythia event to a HepMC one. 
Will return true if succeeded. 
 
the input Pythia event that is to be converted to HepMC 
format. 
 
 
the output GenEvt event, in its standard form. 
 
 
set the event number of the current event. If negative then the 
internal event number is used, which is incremented by one for 
each new event. 
 
 
pointer to the Pythia Info object, which is used to 
extract PFD values, and process and cross section information. 
Without such a pointer this information therefore cannot be stored, 
i.e. it is equivalent to the three set_store methods 
below being set false. 
 
 
pointer to the Pythia Settings object, which is used to 
decide whether hadronization is carried out, and therefore whether 
to warn about unhadronized partons. Without such a pointer the 
set_free_parton_warnings method below uniquely controls 
the behaviour. 
 
 
 

     
The following paired methods can be used to set and get the status of 
some switches that modify the behaviour of the conversion routine. 
The set methods have the same default input values as 
the internal initialization ones, so that a call without an argument 
(re)stores the default. 
 
 
 
 
print a warning line, on cerr, when inconsistent mother 
and daughter information is encountered. 
 
 
 
 
 
check and print a warning line when unhadronized gluons or quarks are 
encountered in the event record. Does not apply when Pythia hadronization 
is switched off. Default is to do this check. 
 
 
 
 
 
if problems (like the free partons above) are encountered then the run 
is interrupted by an exit(1) command. Default is not to crash. 
 
 
 
 
 
the normal gluon identity code 21 is used also when parton density 
information is stored, unless this optional argument is set true to 
have gluons represented by a 0. This choice does not affect the 
normal event record, where a gluon is always 21. 
 
 
 
 
 
for each event store information on the two incoming flavours, their 
x values and common factorization scale, and the values of the two 
parton distributions, xf(x,Q). 
 
 
 
 
 
for each event store information on the Pythia process code, the 
renormalization scale, and alpha_em and alpha_s 
values used for the hard process. 
 
 
 
 
 
for each event store information on the Pythia cross section and its error, 
in pb, and the event weight. If events also come with a dimensional weight, 
like in some Les Houches strategies, this weight is in units of pb. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/NNPDF23_lo_as_0130_qed_mem0.grid0000444000175000017500000402642612357055024021114 0ustar  sunsun 'Version' '5.8'
 'Description:'
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 'NNPDF2.3QED LO, arxiv:1308.0598'
 'LO QCD + LO QED PDF set, alphas(MZ)=0.130'
 'NNPDF Collaboration: R.D. Ball, V. Bertone,'
 'S. Carrazza, L. Del Debbio, S. Forte,'
 'A. Guffanti, N.P. Hartland, J. Rojo'
 'This set has          1  member PDF'
 'mem=0 --> average on replicas. '
 'Evolution: pol. interpolation on the LH grid.'
 'Alphas:'
 'Variable','lo','EvolCode'
           1 ,   91.200000000000003      ,   1.4142135623730951      ,   4.7500000000000000      ,   175.00000000000000     
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   1.0000000000000001E-009 ,   1.0000000000000000      ,   1.0000000000000000      ,   100000000.00000000     
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 'Parameterlist:'
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  0.13000000000000000     
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 'NNPDF20intqed'
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   1.3530477745798068E-008
   1.9630406500402714E-008
   2.8480358684358022E-008
   4.1320124001153370E-008
   5.9948425031894094E-008
   8.6974900261778356E-008
   1.2618568830660210E-007
   1.8307382802953678E-007
   2.6560877829466870E-007
   3.8535285937105315E-007
   5.5908101825122239E-007
   8.1113083078968731E-007
   1.1768119524349981E-006
   1.7073526474706905E-006
   2.4770763559917115E-006
   3.5938136638046262E-006
   5.2140082879996849E-006
   7.5646332755462914E-006
   1.0974987654930569E-005
   1.5922827933410941E-005
   2.3101297000831580E-005
   3.3516026509388410E-005
   4.8626015800653536E-005
   7.0548023107186455E-005
   1.0235310218990269E-004
   1.4849682622544667E-004
   2.1544346900318823E-004
   3.1257158496882353E-004
   4.5348785081285824E-004
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   3.9442060594376556E-002
   5.7223676593502207E-002
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         0
  0.0000000E+00  7.0000092E-10  5.0000053E-10  2.7180542E+01  3.7327763E+02  3.7321138E+02  6.5897773E+02  3.7321137E+02  3.7327762E+02  2.7180542E+01  7.0000011E-10  6.0000021E-10  0.0000000E+00  2.1015926E+00
  0.0000000E+00  5.0000046E-10  3.0000032E-10  2.5590085E+01  3.6318964E+02  3.6315996E+02  8.8249312E+02  3.6315995E+02  3.6318964E+02  2.5590085E+01  1.0000053E-10  4.0000101E-10  0.0000000E+00  2.0929957E+00
  0.0000000E+00  5.0000000E-10  1.0252600E+00  2.6780810E+01  3.5677271E+02  3.5677811E+02  1.1559984E+03  3.5677810E+02  3.5677271E+02  2.6780810E+01  1.0252600E+00  5.0000041E-10  0.0000000E+00  2.1748682E+00
  0.0000000E+00  4.0000028E-10  8.2829729E+00  3.3386576E+01  3.5585687E+02  3.5589611E+02  1.5487574E+03  3.5589611E+02  3.5585687E+02  3.3386576E+01  8.2829729E+00  5.0000011E-10  0.0000000E+00  2.7165067E+00
  0.0000000E+00  9.0000014E-10  1.6612381E+01  4.1144151E+01  3.5661250E+02  3.5668454E+02  1.9555700E+03  3.5668453E+02  3.5661250E+02  4.1144151E+01  1.6612381E+01  8.0000043E-10  0.0000000E+00  3.2589499E+00
  0.0000000E+00  7.0000030E-10  2.5880296E+01  4.9889640E+01  3.5899372E+02  3.5909727E+02  2.3780039E+03  3.5909727E+02  3.5899372E+02  4.9889640E+01  2.5880296E+01  7.0000000E-10  0.0000000E+00  3.8021339E+00
  0.0000000E+00  1.0000002E-09  3.5998659E+01  5.9533320E+01  3.6332234E+02  3.6345617E+02  2.8187606E+03  3.6345617E+02  3.6332234E+02  5.9533320E+01  3.5998659E+01  1.2000003E-09  0.0000000E+00  4.3460619E+00
  0.0000000E+00  9.0001149E-10  4.6907521E+01  7.0012506E+01  3.6882558E+02  3.6898939E+02  3.2792650E+03  3.6898938E+02  3.6882558E+02  7.0012506E+01  4.6907521E+01  1.1000000E-09  0.0000000E+00  4.8907368E+00
  0.0000000E+00  1.1000000E-09  5.8568055E+01  8.1280898E+01  3.7537032E+02  3.7556335E+02  3.7612014E+03  3.7556334E+02  3.7537032E+02  8.1280898E+01  5.8568055E+01  1.1000005E-09  0.0000000E+00  5.4361616E+00
  0.0000000E+00  9.4509478E+00  7.0955297E+01  9.3310872E+01  3.8295351E+02  3.8317422E+02  4.2528146E+03  3.8317422E+02  3.8295351E+02  9.3310872E+01  7.0955297E+01  9.4509478E+00  0.0000000E+00  5.9823107E+00
  0.0000000E+00  2.3320295E+01  8.4058488E+01  1.0608090E+02  3.9151510E+02  3.9176346E+02  4.7643118E+03  3.9176345E+02  3.9151510E+02  1.0608090E+02  8.4058488E+01  2.3320295E+01  0.0000000E+00  6.5292441E+00
  0.0000000E+00  3.7860172E+01  9.7878958E+01  1.1958951E+02  4.0102750E+02  4.0130274E+02  5.3025700E+03  4.0130273E+02  4.0102751E+02  1.1958951E+02  9.7878958E+01  3.7860172E+01  0.0000000E+00  7.0770413E+00
  0.0000000E+00  5.3083292E+01  1.1242181E+02  1.3383952E+02  4.1144193E+02  4.1174400E+02  5.8699599E+03  4.1174399E+02  4.1144194E+02  1.3383952E+02  1.1242181E+02  5.3083292E+01  0.0000000E+00  7.6257032E+00
  0.0000000E+00  6.9018468E+01  1.2769438E+02  1.4883634E+02  4.2277312E+02  4.2310031E+02  6.4683414E+03  4.2310031E+02  4.2277312E+02  1.4883634E+02  1.2769438E+02  6.9018468E+01  0.0000000E+00  8.1752155E+00
  0.0000000E+00  8.5667787E+01  1.4370529E+02  1.6458693E+02  4.3512271E+02  4.3547564E+02  7.0968389E+03  4.3547563E+02  4.3512271E+02  1.6458693E+02  1.4370529E+02  8.5667787E+01  0.0000000E+00  8.7255819E+00
  0.0000000E+00  1.0304377E+02  1.6046371E+02  1.8109903E+02  4.4839913E+02  4.4877545E+02  7.7561228E+03  4.4877544E+02  4.4839914E+02  1.8109903E+02  1.6046371E+02  1.0304377E+02  0.0000000E+00  9.2768061E+00
  0.0000000E+00  1.2115858E+02  1.7797892E+02  1.9838065E+02  4.6253031E+02  4.6293162E+02  8.4467309E+03  4.6293161E+02  4.6253032E+02  1.9838065E+02  1.7797892E+02  1.2115858E+02  0.0000000E+00  9.8288922E+00
  0.0000000E+00  1.4002373E+02  1.9628974E+02  2.1648397E+02  4.7764391E+02  4.7806851E+02  9.1690806E+03  4.7806850E+02  4.7764392E+02  2.1648397E+02  1.9628974E+02  1.4002373E+02  0.0000000E+00  1.0381844E+01
  0.0000000E+00  1.5964993E+02  2.1542087E+02  2.3540378E+02  4.9366027E+02  4.9410793E+02  9.9234823E+03  4.9410792E+02  4.9366028E+02  2.3540378E+02  2.1542087E+02  1.5964993E+02  0.0000000E+00  1.0935665E+01
  0.0000000E+00  1.8004692E+02  2.3534441E+02  2.5512582E+02  5.1060140E+02  5.1107287E+02  1.0710151E+04  5.1107287E+02  5.1060141E+02  2.5512582E+02  2.3534441E+02  1.8004692E+02  0.0000000E+00  1.1490360E+01
  0.0000000E+00  2.0122343E+02  2.5606744E+02  2.7565642E+02  5.2858029E+02  5.2906911E+02  1.1529216E+04  5.2906910E+02  5.2858030E+02  2.7565642E+02  2.5606744E+02  2.0122343E+02  0.0000000E+00  1.2045932E+01
  0.0000000E+00  2.2318717E+02  2.7759619E+02  2.9700113E+02  5.4751287E+02  5.4802352E+02  1.2380733E+04  5.4802351E+02  5.4751288E+02  2.9700113E+02  2.7759619E+02  2.2318717E+02  0.0000000E+00  1.2602385E+01
  0.0000000E+00  2.4594480E+02  2.9993599E+02  3.1916469E+02  5.6741696E+02  5.6794828E+02  1.3264688E+04  5.6794828E+02  5.6741698E+02  3.1916469E+02  2.9993599E+02  2.4594480E+02  0.0000000E+00  1.3159724E+01
  0.0000000E+00  2.6950197E+02  3.2309131E+02  3.4215101E+02  5.8827292E+02  5.8882542E+02  1.4181013E+04  5.8882542E+02  5.8827293E+02  3.4215101E+02  3.2309131E+02  2.6950197E+02  0.0000000E+00  1.3717953E+01
  0.0000000E+00  2.9386335E+02  3.4706574E+02  3.6596320E+02  6.1010072E+02  6.1067506E+02  1.5129586E+04  6.1067506E+02  6.1010073E+02  3.6596320E+02  3.4706574E+02  2.9386335E+02  0.0000000E+00  1.4277075E+01
  0.0000000E+00  3.1903266E+02  3.7186204E+02  3.9060357E+02  6.3280971E+02  6.3340561E+02  1.6110240E+04  6.3340561E+02  6.3280972E+02  3.9060356E+02  3.7186204E+02  3.1903266E+02  0.0000000E+00  1.4837094E+01
  0.0000000E+00  3.4501275E+02  3.9748215E+02  4.1607365E+02  6.5639753E+02  6.5701476E+02  1.7122773E+04  6.5701476E+02  6.5639754E+02  4.1607365E+02  3.9748215E+02  3.4501275E+02  0.0000000E+00  1.5398015E+01
  0.0000000E+00  3.7180560E+02  4.2392727E+02  4.4237429E+02  6.8086149E+02  6.8149981E+02  1.8166944E+04  6.8149981E+02  6.8086151E+02  4.4237429E+02  4.2392727E+02  3.7180560E+02  0.0000000E+00  1.5959842E+01
  1.5872833E+01  3.9941263E+02  4.5119804E+02  4.6950678E+02  7.0619919E+02  7.0685836E+02  1.9219753E+04  7.0685835E+02  7.0619920E+02  4.6950678E+02  4.5119804E+02  3.9941263E+02  1.5872833E+01  1.6520844E+01
  4.6794246E+01  4.2783302E+02  4.7929239E+02  4.9746849E+02  7.3240244E+02  7.3308226E+02  2.0283843E+04  7.3308226E+02  7.3240246E+02  4.9746849E+02  4.7929239E+02  4.2783302E+02  4.6794246E+01  1.7081447E+01
  7.8458270E+01  4.5707075E+02  5.0821365E+02  5.2626149E+02  7.5947057E+02  7.6017082E+02  2.1380041E+04  7.6017082E+02  7.5947058E+02  5.2626149E+02  5.0821365E+02  4.5707075E+02  7.8458270E+01  1.7643332E+01
  1.1087341E+02  4.8713044E+02  5.3796594E+02  5.5588969E+02  7.8740528E+02  7.8812578E+02  2.2508122E+04  7.8812577E+02  7.8740530E+02  5.5588969E+02  5.3796594E+02  4.8713044E+02  1.1087341E+02  1.8206505E+01
  1.4404705E+02  5.1801588E+02  5.6855260E+02  5.8635621E+02  8.1620766E+02  8.1694822E+02  2.3667838E+04  8.1694821E+02  8.1620768E+02  5.8635621E+02  5.6855260E+02  5.1801588E+02  1.4404705E+02  1.8770975E+01
  1.7798551E+02  5.4973006E+02  5.9997618E+02  6.1766342E+02  8.4587824E+02  8.4663866E+02  2.4858927E+04  8.4663865E+02  8.4587826E+02  6.1766342E+02  5.9997618E+02  5.4973006E+02  1.7798551E+02  1.9336748E+01
  2.1269414E+02  5.8227522E+02  6.3223855E+02  6.4981300E+02  8.7669667E+02  8.7745620E+02  2.6081109E+04  8.7745620E+02  8.7669669E+02  6.4981300E+02  6.3223855E+02  5.8227522E+02  2.1269414E+02  1.9903836E+01
  2.4817741E+02  6.1565294E+02  6.6534090E+02  6.8280599E+02  9.0840434E+02  9.0918286E+02  2.7334093E+04  9.0918285E+02  9.0840435E+02  6.8280599E+02  6.6534090E+02  6.1565294E+02  2.4817741E+02  2.0472244E+01
  2.8443893E+02  6.4986415E+02  6.9928383E+02  7.1664280E+02  9.4098708E+02  9.4178445E+02  2.8617574E+04  9.4178444E+02  9.4098710E+02  7.1664280E+02  6.9928383E+02  6.4986415E+02  2.8443893E+02  2.1041982E+01
  3.2148158E+02  6.8490918E+02  7.3406734E+02  7.5132334E+02  9.7444343E+02  9.7525945E+02  2.9931237E+04  9.7525945E+02  9.7444345E+02  7.5132334E+02  7.3406734E+02  6.8490918E+02  3.2148158E+02  2.1613058E+01
  3.5930749E+02  7.2078783E+02  7.6969095E+02  7.8684695E+02  1.0087714E+03  1.0096060E+03  3.1274762E+04  1.0096060E+03  1.0087714E+03  7.8684695E+02  7.6969095E+02  7.2078783E+02  3.5930749E+02  2.2185479E+01
  3.9791817E+02  7.5749939E+02  8.0615364E+02  8.2321250E+02  1.0439688E+03  1.0448216E+03  3.2647817E+04  1.0448216E+03  1.0439688E+03  8.2321250E+02  8.0615364E+02  7.5749939E+02  3.9791817E+02  2.2759257E+01
  4.3731450E+02  7.9504268E+02  8.4345399E+02  8.6041845E+02  1.0800327E+03  1.0809038E+03  3.4050068E+04  1.0809038E+03  1.0800328E+03  8.6041845E+02  8.4345399E+02  7.9504268E+02  4.3731450E+02  2.3334397E+01
  4.7749682E+02  8.3341610E+02  8.8159013E+02  8.9846281E+02  1.1169603E+03  1.1178494E+03  3.5481174E+04  1.1178494E+03  1.1169603E+03  8.9846281E+02  8.8159013E+02  8.3341610E+02  4.7749682E+02  2.3910910E+01
  5.1846494E+02  8.7261761E+02  9.2055982E+02  9.3734324E+02  1.1547481E+03  1.1556551E+03  3.6940789E+04  1.1556551E+03  1.1547481E+03  9.3734324E+02  9.2055982E+02  8.7261761E+02  5.1846494E+02  2.4488804E+01
  5.6021820E+02  9.1264486E+02  9.6036045E+02  9.7705704E+02  1.1933925E+03  1.1943172E+03  3.8428567E+04  1.1943172E+03  1.1933925E+03  9.7705704E+02  9.6036045E+02  9.1264486E+02  5.6021820E+02  2.5068089E+01
  6.0275550E+02  9.5349511E+02  1.0009891E+03  1.0176012E+03  1.2328896E+03  1.2338319E+03  3.9944158E+04  1.2338319E+03  1.2328896E+03  1.0176012E+03  1.0009891E+03  9.5349511E+02  6.0275550E+02  2.5648772E+01
  6.4607534E+02  9.9516533E+02  1.0424425E+03  1.0589724E+03  1.2732351E+03  1.2741949E+03  4.1487210E+04  1.2741949E+03  1.2732352E+03  1.0589724E+03  1.0424425E+03  9.9516533E+02  6.4607534E+02  2.6230865E+01
  6.9017583E+02  1.0376522E+03  1.0847173E+03  1.1011670E+03  1.3144248E+03  1.3154019E+03  4.3057372E+04  1.3154019E+03  1.3144249E+03  1.1011670E+03  1.0847173E+03  1.0376522E+03  6.9017583E+02  2.6814373E+01
  7.3505477E+02  1.0809521E+03  1.1278095E+03  1.1441813E+03  1.3564541E+03  1.3574483E+03  4.4654291E+04  1.3574483E+03  1.3564541E+03  1.1441813E+03  1.1278095E+03  1.0809521E+03  7.3505477E+02  2.7399311E+01
  7.8070961E+02  1.1250613E+03  1.1717153E+03  1.1880111E+03  1.3993181E+03  1.4003294E+03  4.6277614E+04  1.4003294E+03  1.3993181E+03  1.1880111E+03  1.1717153E+03  1.1250613E+03  7.8070961E+02  2.7985683E+01
  8.2713753E+02  1.1699757E+03  1.2164304E+03  1.2326521E+03  1.4430119E+03  1.4440401E+03  4.7926991E+04  1.4440401E+03  1.4430119E+03  1.2326521E+03  1.2164304E+03  1.1699757E+03  8.2713753E+02  2.8573501E+01
  0.0000000E+00  5.0000092E-10  2.0000067E-10  2.2372844E+01  3.2363369E+02  3.2357378E+02  5.8615578E+02  3.2357377E+02  3.2363369E+02  2.2372844E+01  2.0000011E-10  8.0000082E-10  0.0000000E+00  1.7971508E+00
  0.0000000E+00  4.0002499E-10  2.0001914E-10  2.1082169E+01  3.1461271E+02  3.1458589E+02  7.8046146E+02  3.1458588E+02  3.1461271E+02  2.1082169E+01  2.0000026E-10  5.0000068E-10  0.0000000E+00  1.7912655E+00
  0.0000000E+00  3.0000031E-10  9.0085464E-01  2.2184575E+01  3.0883854E+02  3.0884341E+02  1.0158039E+03  3.0884340E+02  3.0883854E+02  2.2184574E+01  9.0085464E-01  4.0000011E-10  0.0000000E+00  1.8596446E+00
  0.0000000E+00  4.0000035E-10  7.2309390E+00  2.7959819E+01  3.0778782E+02  3.0782325E+02  1.3469826E+03  3.0782324E+02  3.0778782E+02  2.7959819E+01  7.2309390E+00  4.0000023E-10  0.0000000E+00  2.3053549E+00
  0.0000000E+00  8.0000000E-10  1.4427903E+01  3.4673324E+01  3.0815266E+02  3.0821763E+02  1.6888855E+03  3.0821762E+02  3.0815266E+02  3.4673324E+01  1.4427903E+01  8.0001343E-10  0.0000000E+00  2.7517750E+00
  0.0000000E+00  7.0000030E-10  2.2384439E+01  4.2187988E+01  3.1000789E+02  3.1010080E+02  2.0436827E+03  3.1010079E+02  3.1000789E+02  4.2187988E+01  2.2384439E+01  7.0000726E-10  0.0000000E+00  3.1988029E+00
  0.0000000E+00  1.1000001E-09  3.1030708E+01  5.0430428E+01  3.1348924E+02  3.1360983E+02  2.4135080E+03  3.1360982E+02  3.1348924E+02  5.0430428E+01  3.1030708E+01  9.0000076E-10  0.0000000E+00  3.6464409E+00
  0.0000000E+00  1.0000000E-09  4.0322081E+01  5.9349469E+01  3.1792708E+02  3.1807457E+02  2.8000935E+03  3.1807456E+02  3.1792709E+02  5.9349468E+01  4.0322081E+01  1.0000000E-09  0.0000000E+00  4.0946914E+00
  0.0000000E+00  9.0000078E-10  5.0231134E+01  6.8932019E+01  3.2325655E+02  3.2342969E+02  3.2050896E+03  3.2342968E+02  3.2325656E+02  6.8932019E+01  5.0231134E+01  6.0000027E-10  0.0000000E+00  4.5435570E+00
  0.0000000E+00  8.0259700E+00  6.0741633E+01  7.9143556E+01  3.2946114E+02  3.2965966E+02  3.6186384E+03  3.2965965E+02  3.2946114E+02  7.9143556E+01  6.0741633E+01  8.0259700E+00  0.0000000E+00  4.9928901E+00
  0.0000000E+00  1.9794068E+01  7.1848717E+01  8.9972170E+01  3.3654912E+02  3.3677244E+02  4.0495430E+03  3.3677243E+02  3.3654913E+02  8.9972169E+01  7.1848717E+01  1.9794068E+01  0.0000000E+00  5.4428404E+00
  0.0000000E+00  3.2127830E+01  8.3557243E+01  1.0142029E+02  3.4441401E+02  3.4466185E+02  4.5040781E+03  3.4466184E+02  3.4441402E+02  1.0142029E+02  8.3557243E+01  3.2127830E+01  0.0000000E+00  5.8934818E+00
  0.0000000E+00  4.5046607E+01  9.5874732E+01  1.1349352E+02  3.5302492E+02  3.5329685E+02  4.9852789E+03  3.5329684E+02  3.5302492E+02  1.1349352E+02  9.5874732E+01  4.5046607E+01  0.0000000E+00  6.3448174E+00
  0.0000000E+00  5.8559276E+01  1.0881011E+02  1.2619910E+02  3.6251532E+02  3.6280982E+02  5.4919825E+03  3.6280981E+02  3.6251532E+02  1.2619910E+02  1.0881011E+02  5.8559276E+01  0.0000000E+00  6.7969057E+00
  0.0000000E+00  7.2678698E+01  1.2237293E+02  1.3954517E+02  3.7280411E+02  3.7312172E+02  6.0248797E+03  3.7312171E+02  3.7280412E+02  1.3954517E+02  1.2237293E+02  7.2678698E+01  0.0000000E+00  7.2497581E+00
  0.0000000E+00  8.7417355E+01  1.3657281E+02  1.5354013E+02  3.8388548E+02  3.8422413E+02  6.5845230E+03  3.8422412E+02  3.8388549E+02  1.5354013E+02  1.3657281E+02  8.7417355E+01  0.0000000E+00  7.7033271E+00
  0.0000000E+00  1.0278705E+02  1.5145060E+02  1.6823725E+02  3.9571549E+02  3.9607546E+02  7.1713412E+03  3.9607545E+02  3.9571550E+02  1.6823725E+02  1.5145060E+02  1.0278705E+02  0.0000000E+00  8.1576029E+00
  0.0000000E+00  1.1879872E+02  1.6701497E+02  1.8361721E+02  4.0841125E+02  4.0879326E+02  7.7856529E+03  4.0879325E+02  4.0841126E+02  1.8361720E+02  1.6701497E+02  1.1879872E+02  0.0000000E+00  8.6125885E+00
  0.0000000E+00  1.3546231E+02  1.8325152E+02  1.9967834E+02  4.2188669E+02  4.2228946E+02  8.4276791E+03  4.2228945E+02  4.2188670E+02  1.9967834E+02  1.8325152E+02  1.3546231E+02  0.0000000E+00  9.0682872E+00
  0.0000000E+00  1.5278669E+02  2.0016755E+02  2.1642722E+02  4.3630223E+02  4.3671957E+02  9.0975557E+03  4.3671956E+02  4.3630224E+02  2.1642722E+02  2.0016755E+02  1.5278669E+02  0.0000000E+00  9.5247022E+00
  0.0000000E+00  1.7077970E+02  2.1776942E+02  2.3386958E+02  4.5149223E+02  4.5192946E+02  9.7953429E+03  4.5192945E+02  4.5149225E+02  2.3386958E+02  2.1776942E+02  1.7077970E+02  0.0000000E+00  9.9818366E+00
  0.0000000E+00  1.8944806E+02  2.3606262E+02  2.5201031E+02  4.6753764E+02  4.6799381E+02  1.0521036E+04  4.6799381E+02  4.6753767E+02  2.5201031E+02  2.3606262E+02  1.8944806E+02  0.0000000E+00  1.0439694E+01
  0.0000000E+00  2.0879751E+02  2.5505172E+02  2.7085348E+02  4.8438884E+02  4.8486511E+02  1.1274571E+04  4.8486511E+02  4.8438885E+02  2.7085348E+02  2.5505172E+02  2.0879751E+02  0.0000000E+00  1.0898277E+01
  0.0000000E+00  2.2883274E+02  2.7474040E+02  2.9040231E+02  5.0200960E+02  5.0250447E+02  1.2055836E+04  5.0250446E+02  5.0200962E+02  2.9040231E+02  2.7474040E+02  2.2883274E+02  0.0000000E+00  1.1357589E+01
  0.0000000E+00  2.4955754E+02  2.9513151E+02  3.1065923E+02  5.2049149E+02  5.2100594E+02  1.2864676E+04  5.2100593E+02  5.2049151E+02  3.1065923E+02  2.9513151E+02  2.4955754E+02  0.0000000E+00  1.1817634E+01
  0.0000000E+00  2.7097477E+02  3.1622707E+02  3.3162588E+02  5.3973117E+02  5.4026498E+02  1.3700898E+04  5.4026498E+02  5.3973119E+02  3.3162588E+02  3.1622707E+02  2.7097477E+02  0.0000000E+00  1.2278415E+01
  0.0000000E+00  2.9308646E+02  3.3802835E+02  3.5330321E+02  5.5972607E+02  5.6027903E+02  1.4564275E+04  5.6027902E+02  5.5972609E+02  3.5330321E+02  3.3802835E+02  2.9308646E+02  0.0000000E+00  1.2739936E+01
  0.0000000E+00  3.1589388E+02  3.6053592E+02  3.7569146E+02  5.8047327E+02  5.8104518E+02  1.5454557E+04  5.8104517E+02  5.8047330E+02  3.7569146E+02  3.6053592E+02  3.1589388E+02  0.0000000E+00  1.3202198E+01
  1.3511089E+01  3.3939774E+02  3.8374983E+02  3.9879121E+02  6.0197003E+02  6.0256068E+02  1.6352127E+04  6.0256067E+02  6.0197005E+02  3.9879121E+02  3.8374983E+02  3.3939774E+02  1.3511089E+01  1.3663771E+01
  3.9833863E+01  3.6359682E+02  4.0766779E+02  4.2259969E+02  6.2420861E+02  6.2481781E+02  1.7259186E+04  6.2481781E+02  6.2420863E+02  4.2259969E+02  4.0766779E+02  3.6359682E+02  3.9833863E+01  1.4125008E+01
  6.6791169E+01  3.8849394E+02  4.3229203E+02  4.4711811E+02  6.4718775E+02  6.4781534E+02  1.8193407E+04  6.4781533E+02  6.4718778E+02  4.4711811E+02  4.3229203E+02  3.8849394E+02  6.6791169E+01  1.4587294E+01
  9.4389645E+01  4.1409243E+02  4.5762548E+02  4.7234922E+02  6.7095188E+02  6.7158257E+02  1.9154552E+04  6.7158256E+02  6.7095191E+02  4.7234922E+02  4.5762548E+02  4.1409243E+02  9.4389645E+01  1.5050638E+01
  1.2263494E+02  4.4039488E+02  4.8367032E+02  4.9829502E+02  6.9565260E+02  6.9630094E+02  2.0142371E+04  6.9630093E+02  6.9565262E+02  4.9829502E+02  4.8367032E+02  4.4039488E+02  1.2263494E+02  1.5515045E+01
  1.5153179E+02  4.6740321E+02  5.1042810E+02  5.2495690E+02  7.2110182E+02  7.2176766E+02  2.1156598E+04  7.2176766E+02  7.2110184E+02  5.2495690E+02  5.1042810E+02  4.6740321E+02  1.5153179E+02  1.5980523E+01
  1.8108408E+02  4.9511865E+02  5.3789973E+02  5.5233561E+02  7.4729880E+02  7.4798199E+02  2.2196955E+04  7.4798199E+02  7.4729882E+02  5.5233561E+02  5.3789973E+02  4.9511865E+02  1.8108408E+02  1.6447078E+01
  2.1129494E+02  5.2354187E+02  5.6608555E+02  5.8043136E+02  7.7424231E+02  7.7494271E+02  2.3263156E+04  7.7494271E+02  7.7424234E+02  5.8043136E+02  5.6608555E+02  5.2354187E+02  2.1129494E+02  1.6914716E+01
  2.4216677E+02  5.5267299E+02  5.9498537E+02  6.0924383E+02  8.0193073E+02  8.0264818E+02  2.4354906E+04  8.0264816E+02  8.0193076E+02  6.0924383E+02  5.9498537E+02  5.5267299E+02  2.4216677E+02  1.7383446E+01
  2.7370132E+02  5.8251162E+02  6.2459854E+02  6.3877224E+02  8.3036200E+02  8.3109636E+02  2.5471903E+04  8.3109635E+02  8.3036203E+02  6.3877224E+02  6.2459854E+02  5.8251162E+02  2.7370132E+02  1.7853271E+01
  3.0589974E+02  6.1305688E+02  6.5492393E+02  6.6901535E+02  8.5953375E+02  8.6028487E+02  2.6613838E+04  8.6028487E+02  8.5953377E+02  6.6901535E+02  6.5492393E+02  6.1305688E+02  3.0589974E+02  1.8324202E+01
  3.3876260E+02  6.4430751E+02  6.8596001E+02  6.9997152E+02  8.8944322E+02  8.9021098E+02  2.7780400E+04  8.9021098E+02  8.8944325E+02  6.9997152E+02  6.8596001E+02  6.4430751E+02  3.3876260E+02  1.8796244E+01
  3.7228999E+02  6.7626181E+02  7.1770487E+02  7.3163874E+02  9.2008739E+02  9.2087166E+02  2.8971271E+04  9.2087166E+02  9.2008742E+02  7.3163874E+02  7.1770487E+02  6.7626181E+02  3.7228999E+02  1.9269405E+01
  4.0648152E+02  7.0891774E+02  7.5015625E+02  7.6401468E+02  9.5146294E+02  9.5226360E+02  3.0186133E+04  9.5226360E+02  9.5146297E+02  7.6401468E+02  7.5015625E+02  7.0891774E+02  4.0648152E+02  1.9743691E+01
  4.4133636E+02  7.4227292E+02  7.8331158E+02  7.9709664E+02  9.8356630E+02  9.8438320E+02  3.1424665E+04  9.8438320E+02  9.8356633E+02  7.9709664E+02  7.8331158E+02  7.4227292E+02  4.4133636E+02  2.0219110E+01
  4.7685328E+02  7.7632467E+02  8.1716798E+02  8.3088169E+02  1.0163937E+03  1.0172267E+03  3.2686545E+04  1.0172267E+03  1.0163937E+03  8.3088169E+02  8.1716798E+02  7.7632467E+02  4.7685328E+02  2.0695669E+01
  5.1303072E+02  8.1107003E+02  8.5172232E+02  8.6536660E+02  1.0499410E+03  1.0507900E+03  3.3971449E+04  1.0507900E+03  1.0499410E+03  8.6536660E+02  8.5172232E+02  8.1107003E+02  5.1303072E+02  2.1173376E+01
  5.4986674E+02  8.4650578E+02  8.8697119E+02  9.0054792E+02  1.0842040E+03  1.0850689E+03  3.5279056E+04  1.0850689E+03  1.0842041E+03  9.0054792E+02  8.8697119E+02  8.4650578E+02  5.4986674E+02  2.1652237E+01
  5.8735912E+02  8.8262847E+02  9.2291101E+02  9.3642196E+02  1.1191784E+03  1.1200591E+03  3.6609043E+04  1.1200591E+03  1.1191785E+03  9.3642196E+02  9.2291101E+02  8.8262847E+02  5.8735912E+02  2.2132261E+01
  6.2550536E+02  9.1943445E+02  9.5953795E+02  9.7298485E+02  1.1548596E+03  1.1557559E+03  3.7961089E+04  1.1557559E+03  1.1548596E+03  9.7298485E+02  9.5953795E+02  9.1943445E+02  6.2550536E+02  2.2613455E+01
  6.6430271E+02  9.5691984E+02  9.9684802E+02  1.0102325E+03  1.1912428E+03  1.1921547E+03  3.9334873E+04  1.1921547E+03  1.1912429E+03  1.0102325E+03  9.9684802E+02  9.5691984E+02  6.6430271E+02  2.3095826E+01
  7.0374817E+02  9.9508064E+02  1.0348371E+03  1.0481608E+03  1.2283233E+03  1.2292506E+03  4.0730078E+04  1.2292506E+03  1.2283234E+03  1.0481608E+03  1.0348371E+03  9.9508064E+02  7.0374817E+02  2.3579383E+01
  0.0000000E+00  5.0000029E-10  3.0000667E-10  1.8224880E+01  2.7845736E+02  2.7840372E+02  5.2015613E+02  2.7840371E+02  2.7845736E+02  1.8224880E+01  2.0000076E-10  6.0000057E-10  0.0000000E+00  1.5367271E+00
  0.0000000E+00  6.0000000E-10  3.0000741E-10  1.7210052E+01  2.7048389E+02  2.7045988E+02  6.8887566E+02  2.7045987E+02  2.7048389E+02  1.7210052E+01  3.0000027E-10  6.0000029E-10  0.0000000E+00  1.5330220E+00
  0.0000000E+00  6.0000016E-10  7.9114299E-01  1.8238949E+01  2.6533786E+02  2.6534221E+02  8.9096361E+02  2.6534220E+02  2.6533786E+02  1.8238949E+01  7.9114299E-01  3.0000012E-10  0.0000000E+00  1.5897700E+00
  0.0000000E+00  4.0000000E-10  6.3075688E+00  2.3292787E+01  2.6424068E+02  2.6427235E+02  1.1691817E+03  2.6427234E+02  2.6424068E+02  2.3292787E+01  6.3075688E+00  4.0000036E-10  0.0000000E+00  1.9534049E+00
  0.0000000E+00  5.0000028E-10  1.2518562E+01  2.9104161E+01  2.6433959E+02  2.6439765E+02  1.4556683E+03  2.6439764E+02  2.6433960E+02  2.9104161E+01  1.2518562E+01  4.0000000E-10  0.0000000E+00  2.3176704E+00
  0.0000000E+00  4.0000000E-10  1.9339061E+01  3.5558682E+01  2.6584549E+02  2.6592849E+02  1.7527476E+03  2.6592848E+02  2.6584550E+02  3.5558682E+01  1.9339061E+01  3.0000284E-10  0.0000000E+00  2.6824300E+00
  0.0000000E+00  7.0000256E-10  2.6716133E+01  4.2601661E+01  2.6861486E+02  2.6872254E+02  2.0623933E+03  2.6872253E+02  2.6861487E+02  4.2601661E+01  2.6716133E+01  1.0000002E-09  0.0000000E+00  3.0476857E+00
  0.0000000E+00  6.0001108E-10  3.4618056E+01  5.0191027E+01  2.7220790E+02  2.7233950E+02  2.3864211E+03  2.7233949E+02  2.7220790E+02  5.0191027E+01  3.4618056E+01  9.0000000E-10  0.0000000E+00  3.4134395E+00
  0.0000000E+00  1.0000000E-09  4.3027052E+01  5.8331739E+01  2.7656786E+02  2.7672234E+02  2.7264116E+03  2.7672233E+02  2.7656787E+02  5.8331738E+01  4.3027052E+01  8.0000091E-10  0.0000000E+00  3.7796934E+00
  0.0000000E+00  6.8073579E+00  5.1934124E+01  6.6993812E+01  2.8164878E+02  2.8182593E+02  3.0741039E+03  2.8182592E+02  2.8164878E+02  6.6993812E+01  5.1934124E+01  6.8073579E+00  0.0000000E+00  4.1463245E+00
  0.0000000E+00  1.6785551E+01  6.1339183E+01  7.6170879E+01  2.8748524E+02  2.8768463E+02  3.4370635E+03  2.8768462E+02  2.8748524E+02  7.6170879E+01  6.1339183E+01  1.6785551E+01  0.0000000E+00  4.5134562E+00
  0.0000000E+00  2.7242478E+01  7.1249773E+01  8.5868464E+01  2.9397304E+02  2.9419429E+02  3.8222616E+03  2.9419428E+02  2.9397305E+02  8.5868464E+01  7.1249773E+01  2.7242478E+01  0.0000000E+00  4.8811500E+00
  0.0000000E+00  3.8190437E+01  8.1675162E+01  9.6094208E+01  3.0115717E+02  3.0139910E+02  4.2293237E+03  3.0139909E+02  3.0115718E+02  9.6094208E+01  8.1675162E+01  3.8190437E+01  0.0000000E+00  5.2494086E+00
  0.0000000E+00  4.9642676E+01  9.2625301E+01  1.0685667E+02  3.0906744E+02  3.0933015E+02  4.6586502E+03  3.0933014E+02  3.0906745E+02  1.0685667E+02  9.2625301E+01  4.9642676E+01  0.0000000E+00  5.6182342E+00
  0.0000000E+00  6.1612061E+01  1.0411022E+02  1.1816471E+02  3.1764292E+02  3.1792638E+02  5.1108121E+03  3.1792637E+02  3.1764295E+02  1.1816471E+02  1.0411022E+02  6.1612061E+01  0.0000000E+00  5.9876293E+00
  0.0000000E+00  7.4110728E+01  1.1616950E+02  1.3006950E+02  3.2689983E+02  3.2720206E+02  5.5862513E+03  3.2720205E+02  3.2689985E+02  1.3006950E+02  1.1616950E+02  7.4110728E+01  0.0000000E+00  6.3575967E+00
  0.0000000E+00  8.7149895E+01  1.2880438E+02  1.4254607E+02  3.3687362E+02  3.3718932E+02  6.0852956E+03  3.3718931E+02  3.3687363E+02  1.4254607E+02  1.2880438E+02  8.7149895E+01  0.0000000E+00  6.7281386E+00
  0.0000000E+00  1.0073973E+02  1.4200895E+02  1.5560042E+02  3.4768158E+02  3.4801658E+02  6.6081742E+03  3.4801657E+02  3.4768159E+02  1.5560042E+02  1.4200895E+02  1.0073973E+02  0.0000000E+00  7.0992578E+00
  0.0000000E+00  1.1488929E+02  1.5579071E+02  1.6923937E+02  3.5919761E+02  3.5955079E+02  7.1550282E+03  3.5955078E+02  3.5919762E+02  1.6923937E+02  1.5579071E+02  1.1488929E+02  0.0000000E+00  7.4709567E+00
  0.0000000E+00  1.2960654E+02  1.7015623E+02  1.8346889E+02  3.7135840E+02  3.7173033E+02  7.7259240E+03  3.7173032E+02  3.7135841E+02  1.8346889E+02  1.7015623E+02  1.2960654E+02  0.0000000E+00  7.8432381E+00
  0.0000000E+00  1.4489832E+02  1.8511113E+02  1.9829406E+02  3.8422496E+02  3.8461340E+02  8.3208620E+03  3.8461340E+02  3.8422499E+02  1.9829406E+02  1.8511113E+02  1.4489832E+02  0.0000000E+00  8.2161101E+00
  0.0000000E+00  1.6077040E+02  2.0066008E+02  2.1371907E+02  3.9782368E+02  3.9823030E+02  8.9397862E+03  3.9823029E+02  3.9782370E+02  2.1371907E+02  2.0066008E+02  1.6077040E+02  0.0000000E+00  8.5895817E+00
  0.0000000E+00  1.7722757E+02  2.1680687E+02  2.2974730E+02  4.1207365E+02  4.1249823E+02  9.5825917E+03  4.1249822E+02  4.1207367E+02  2.2974730E+02  2.1680687E+02  1.7722757E+02  0.0000000E+00  8.9636437E+00
  0.0000000E+00  1.9427361E+02  2.3355442E+02  2.4638128E+02  4.2699365E+02  4.2743452E+02  1.0249132E+04  4.2743451E+02  4.2699368E+02  2.4638128E+02  2.3355442E+02  1.9427361E+02  0.0000000E+00  9.3382985E+00
  0.0000000E+00  2.1191146E+02  2.5090485E+02  2.6362277E+02  4.4265372E+02  4.4311206E+02  1.0939224E+04  4.4311205E+02  4.4265375E+02  2.6362277E+02  2.5090485E+02  2.1191146E+02  0.0000000E+00  9.7135489E+00
  0.0000000E+00  2.3014316E+02  2.6885949E+02  2.8147280E+02  4.5896565E+02  4.5944128E+02  1.1652655E+04  4.5944128E+02  4.5896568E+02  2.8147280E+02  2.6885949E+02  2.3014316E+02  0.0000000E+00  1.0089398E+01
  0.0000000E+00  2.4897001E+02  2.8741897E+02  2.9993174E+02  4.7592669E+02  4.7641942E+02  1.2389187E+04  4.7641942E+02  4.7592672E+02  2.9993174E+02  2.8741897E+02  2.4897001E+02  0.0000000E+00  1.0465847E+01
  0.0000000E+00  2.6839260E+02  3.0658330E+02  3.1899931E+02  4.9353373E+02  4.9404337E+02  1.3148559E+04  4.9404337E+02  4.9353376E+02  3.1899931E+02  3.0658330E+02  2.6839260E+02  0.0000000E+00  1.0842901E+01
  1.1504168E+01  2.8841104E+02  3.2635198E+02  3.3867545E+02  5.1178373E+02  5.1231013E+02  1.3914038E+04  5.1231012E+02  5.1178376E+02  3.3867545E+02  3.2635198E+02  2.8841104E+02  1.1504168E+01  1.1219395E+01
  3.3918794E+01  3.0902373E+02  3.4672252E+02  3.5895727E+02  5.3078820E+02  5.3132026E+02  1.4687451E+04  5.3132026E+02  5.3078823E+02  3.5895727E+02  3.4672252E+02  3.0902373E+02  3.3918794E+01  1.1595632E+01
  5.6875574E+01  3.3023248E+02  3.6769623E+02  3.7984525E+02  5.5050098E+02  5.5104919E+02  1.5483795E+04  5.5104919E+02  5.5050101E+02  3.7984525E+02  3.6769623E+02  3.3023248E+02  5.6875574E+01  1.1972724E+01
  8.0379556E+01  3.5203954E+02  3.8927500E+02  4.0134113E+02  5.7085386E+02  5.7141808E+02  1.6302828E+04  5.7141808E+02  5.7085389E+02  4.0134113E+02  3.8927500E+02  3.5203954E+02  8.0379556E+01  1.2350676E+01
  1.0443492E+02  3.7444651E+02  4.1146007E+02  4.2344601E+02  5.9184638E+02  5.9242646E+02  1.7144299E+04  5.9242646E+02  5.9184641E+02  4.2344601E+02  4.1146007E+02  3.7444651E+02  1.0443492E+02  1.2729493E+01
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  1.5421268E+02  4.2106355E+02  4.5765128E+02  4.6948439E+02  6.3574613E+02  6.3635754E+02  1.8893497E+04  6.3635754E+02  6.3574616E+02  4.6948439E+02  4.5765128E+02  4.2106355E+02  1.5421268E+02  1.3489745E+01
  1.7993976E+02  4.4527398E+02  4.8165720E+02  4.9341744E+02  6.5865027E+02  6.5927715E+02  1.9800676E+04  6.5927714E+02  6.5865030E+02  4.9341744E+02  4.8165720E+02  4.4527398E+02  1.7993976E+02  1.3871191E+01
  2.0622769E+02  4.7008511E+02  5.0626909E+02  5.1795867E+02  6.8218788E+02  6.8283011E+02  2.0729199E+04  6.8283010E+02  6.8218792E+02  5.1795867E+02  5.0626909E+02  4.7008511E+02  2.0622769E+02  1.4253525E+01
  2.3307735E+02  4.9549596E+02  5.3148574E+02  5.4310677E+02  7.0635655E+02  7.0701400E+02  2.1678780E+04  7.0701400E+02  7.0635659E+02  5.4310677E+02  5.3148574E+02  4.9549596E+02  2.3307735E+02  1.4636750E+01
  2.6048904E+02  5.2150517E+02  5.5730555E+02  5.6886005E+02  7.3115355E+02  7.3182611E+02  2.2649128E+04  7.3182611E+02  7.3115358E+02  5.6886005E+02  5.5730555E+02  5.2150517E+02  2.6048904E+02  1.5020874E+01
  2.8846264E+02  5.4811102E+02  5.8372658E+02  5.9521649E+02  7.5657585E+02  7.5726340E+02  2.3639948E+04  7.5726339E+02  7.5657589E+02  5.9521649E+02  5.8372658E+02  5.4811102E+02  2.8846264E+02  1.5405902E+01
  3.1699759E+02  5.7531144E+02  6.1074659E+02  6.2217375E+02  7.8262022E+02  7.8332264E+02  2.4650948E+04  7.8332264E+02  7.8262026E+02  6.2217375E+02  6.1074659E+02  5.7531144E+02  3.1699759E+02  1.5791840E+01
  3.4609294E+02  6.0310409E+02  6.3836304E+02  6.4972923E+02  8.0928316E+02  8.1000034E+02  2.5681829E+04  8.1000034E+02  8.0928319E+02  6.4972923E+02  6.3836304E+02  6.0310409E+02  3.4609294E+02  1.6178693E+01
  3.7574737E+02  6.3148633E+02  6.6657312E+02  6.7788003E+02  8.3656097E+02  8.3729281E+02  2.6732297E+04  8.3729281E+02  8.3656101E+02  6.7788003E+02  6.6657312E+02  6.3148633E+02  3.7574737E+02  1.6566468E+01
  4.0595925E+02  6.6045529E+02  6.9537380E+02  7.0662307E+02  8.6444978E+02  8.6519618E+02  2.7802054E+04  8.6519618E+02  8.6444983E+02  7.0662307E+02  6.9537380E+02  6.6045529E+02  4.0595925E+02  1.6955170E+01
  4.3672665E+02  6.9000787E+02  7.2476181E+02  7.3595502E+02  8.9294555E+02  8.9370639E+02  2.8890806E+04  8.9370639E+02  8.9294559E+02  7.3595502E+02  7.2476181E+02  6.9000787E+02  4.3672665E+02  1.7344805E+01
  4.6804736E+02  7.2014075E+02  7.5473372E+02  7.6587236E+02  9.2204405E+02  9.2281925E+02  2.9998258E+04  9.2281925E+02  9.2204409E+02  7.6587236E+02  7.5473372E+02  7.2014075E+02  4.6804736E+02  1.7735380E+01
  4.9991893E+02  7.5085045E+02  7.8528588E+02  7.9637141E+02  9.5174099E+02  9.5253043E+02  3.1124118E+04  9.5253043E+02  9.5174103E+02  7.9637141E+02  7.8528588E+02  7.5085045E+02  4.9991893E+02  1.8126900E+01
  5.3233869E+02  7.8213331E+02  8.1641451E+02  8.2744833E+02  9.8203187E+02  9.8283546E+02  3.2268093E+04  9.8283546E+02  9.8203191E+02  8.2744833E+02  8.1641451E+02  7.8213331E+02  5.3233869E+02  1.8519372E+01
  5.6530376E+02  8.1398552E+02  8.4811567E+02  8.5909913E+02  1.0129121E+03  1.0137298E+03  3.3429897E+04  1.0137298E+03  1.0129122E+03  8.5909913E+02  8.4811567E+02  8.1398552E+02  5.6530376E+02  1.8912801E+01
  5.9881107E+02  8.4640312E+02  8.8038531E+02  8.9131972E+02  1.0443771E+03  1.0452088E+03  3.4609243E+04  1.0452088E+03  1.0443772E+03  8.9131972E+02  8.8038531E+02  8.4640312E+02  5.9881107E+02  1.9307194E+01
  0.0000000E+00  2.0000023E-10  1.0000000E-10  1.4748230E+01  2.3787284E+02  2.3782515E+02  4.6063541E+02  2.3782514E+02  2.3787284E+02  1.4748230E+01  2.0000798E-10  1.0000254E-10  0.0000000E+00  1.3143757E+00
  0.0000000E+00  2.0000616E-10  1.0221679E-14  1.3973784E+01  2.3087917E+02  2.3085785E+02  6.0726582E+02  2.3085784E+02  2.3087918E+02  1.3973783E+01  2.0000000E-10  3.0000000E-10  0.0000000E+00  1.3121803E+00
  0.0000000E+00  4.0000000E-10  6.9496995E-01  1.4933972E+01  2.2632894E+02  2.2633281E+02  7.8049460E+02  2.2633280E+02  2.2632895E+02  1.4933972E+01  6.9496995E-01  4.0000000E-10  0.0000000E+00  1.3588144E+00
  0.0000000E+00  3.0000000E-10  5.5012694E+00  1.9362316E+01  2.2524388E+02  2.2527201E+02  1.0134066E+03  2.2527200E+02  2.2524389E+02  1.9362316E+01  5.5012694E+00  3.0000000E-10  0.0000000E+00  1.6529404E+00
  0.0000000E+00  3.0000000E-10  1.0856810E+01  2.4393405E+01  2.2515732E+02  2.2520887E+02  1.2527112E+03  2.2520886E+02  2.2515732E+02  2.4393404E+01  1.0856810E+01  5.0000000E-10  0.0000000E+00  1.9476318E+00
  0.0000000E+00  4.0000000E-10  1.6696503E+01  2.9935924E+01  2.2641424E+02  2.2648790E+02  1.5007247E+03  2.2648789E+02  2.2641424E+02  2.9935924E+01  1.6696503E+01  5.0000012E-10  0.0000000E+00  2.2427220E+00
  0.0000000E+00  5.0000011E-10  2.2982365E+01  3.5949864E+01  2.2863116E+02  2.2872667E+02  1.7594543E+03  2.2872666E+02  2.2863117E+02  3.5949864E+01  2.2982365E+01  8.0000000E-10  0.0000000E+00  2.5382125E+00
  0.0000000E+00  4.0000079E-10  2.9693735E+01  4.2407976E+01  2.3152610E+02  2.3164294E+02  2.0306638E+03  2.3164293E+02  2.3152611E+02  4.2407976E+01  2.9693735E+01  6.0000014E-10  0.0000000E+00  2.8341050E+00
  0.0000000E+00  4.0000058E-10  3.6820969E+01  4.9317597E+01  2.3507114E+02  2.3520832E+02  2.3158409E+03  2.3520831E+02  2.3507115E+02  4.9317597E+01  3.6820969E+01  1.0000000E-09  0.0000000E+00  3.1304010E+00
  0.0000000E+00  5.7697095E+00  4.4361036E+01  5.6660564E+01  2.3923476E+02  2.3939198E+02  2.6080646E+03  2.3939196E+02  2.3923477E+02  5.6660564E+01  4.4361036E+01  5.7697095E+00  0.0000000E+00  3.4269984E+00
  0.0000000E+00  1.4224047E+01  5.2317652E+01  6.4433888E+01  2.4403337E+02  2.4421002E+02  2.9147847E+03  2.4421001E+02  2.4403338E+02  6.4433888E+01  5.2317652E+01  1.4224047E+01  0.0000000E+00  3.7239988E+00
  0.0000000E+00  2.3080934E+01  6.0700368E+01  7.2645469E+01  2.4941331E+02  2.4960941E+02  3.2404495E+03  2.4960940E+02  2.4941334E+02  7.2645469E+01  6.0700368E+01  2.3080934E+01  0.0000000E+00  4.0214530E+00
  0.0000000E+00  3.2354121E+01  6.9519631E+01  8.1304423E+01  2.5539522E+02  2.5560995E+02  3.5850092E+03  2.5560994E+02  2.5539523E+02  8.1304423E+01  6.9519631E+01  3.2354121E+01  0.0000000E+00  4.3193628E+00
  0.0000000E+00  4.2056948E+01  7.8785963E+01  9.0422605E+01  2.6207964E+02  2.6230889E+02  3.9490582E+03  2.6230888E+02  2.6207965E+02  9.0422605E+01  7.8785963E+01  4.2056948E+01  0.0000000E+00  4.6177303E+00
  0.0000000E+00  5.2201984E+01  8.8535928E+01  1.0004005E+02  2.6934712E+02  2.6959447E+02  4.3330547E+03  2.6959445E+02  2.6934713E+02  1.0004005E+02  8.8535928E+01  5.2201984E+01  0.0000000E+00  4.9165574E+00
  0.0000000E+00  6.2800801E+01  9.8768731E+01  1.1013880E+02  2.7721799E+02  2.7748126E+02  4.7373387E+03  2.7748125E+02  2.7721800E+02  1.1013880E+02  9.8768731E+01  6.2800801E+01  0.0000000E+00  5.2158464E+00
  0.0000000E+00  7.3863858E+01  1.0948367E+02  1.2072685E+02  2.8570413E+02  2.8598438E+02  5.1621471E+03  2.8598437E+02  2.8570414E+02  1.2072685E+02  1.0948367E+02  7.3863858E+01  0.0000000E+00  5.5155990E+00
  0.0000000E+00  8.5400448E+01  1.2068850E+02  1.3181133E+02  2.9481290E+02  2.9510962E+02  5.6076281E+03  2.9510960E+02  2.9481292E+02  1.3181133E+02  1.2068850E+02  8.5400448E+01  0.0000000E+00  5.8158176E+00
  0.0000000E+00  9.7418693E+01  1.3239000E+02  1.4339847E+02  3.0450718E+02  3.0482076E+02  6.0738535E+03  3.0482075E+02  3.0450720E+02  1.4339847E+02  1.3239000E+02  9.7418693E+01  0.0000000E+00  6.1165041E+00
  0.0000000E+00  1.0992556E+02  1.4459397E+02  1.5549356E+02  3.1477578E+02  3.1510436E+02  6.5608291E+03  3.1510436E+02  3.1477581E+02  1.5549355E+02  1.4459397E+02  1.0992556E+02  0.0000000E+00  6.4176604E+00
  0.0000000E+00  1.2292694E+02  1.5730521E+02  1.6810097E+02  3.2570949E+02  3.2605442E+02  7.0685049E+03  3.2605442E+02  3.2570952E+02  1.6810097E+02  1.5730521E+02  1.2292694E+02  0.0000000E+00  6.7192890E+00
  0.0000000E+00  1.3642764E+02  1.7052761E+02  1.8122421E+02  3.3720667E+02  3.3756775E+02  7.5967826E+03  3.3756775E+02  3.3720670E+02  1.8122421E+02  1.7052761E+02  1.3642764E+02  0.0000000E+00  7.0213917E+00
  0.0000000E+00  1.5043154E+02  1.8426417E+02  1.9486594E+02  3.4926573E+02  3.4964277E+02  8.1455235E+03  3.4964276E+02  3.4926576E+02  1.9486594E+02  1.8426417E+02  1.5043154E+02  0.0000000E+00  7.3239707E+00
  0.0000000E+00  1.6494156E+02  1.9851709E+02  2.0902804E+02  3.6192733E+02  3.6231860E+02  8.7145545E+03  3.6231860E+02  3.6192736E+02  2.0902804E+02  1.9851709E+02  1.6494156E+02  0.0000000E+00  7.6270282E+00
  0.0000000E+00  1.7995982E+02  2.1328778E+02  2.2371165E+02  3.7520616E+02  3.7561296E+02  9.3036732E+03  3.7561296E+02  3.7520619E+02  2.2371165E+02  2.1328778E+02  1.7995982E+02  0.0000000E+00  7.9305663E+00
  0.0000000E+00  1.9548765E+02  2.2857695E+02  2.3891721E+02  3.8904594E+02  3.8946809E+02  9.9126533E+03  3.8946809E+02  3.8904597E+02  2.3891721E+02  2.2857695E+02  1.9548765E+02  0.0000000E+00  8.2345874E+00
  0.0000000E+00  2.1152568E+02  2.4438465E+02  2.5464457E+02  4.0347663E+02  4.0390667E+02  1.0541248E+04  4.0390667E+02  4.0347667E+02  2.5464457E+02  2.4438465E+02  2.1152568E+02  0.0000000E+00  8.5390933E+00
  0.0000000E+00  2.2807388E+02  2.6071036E+02  2.7089298E+02  4.1857903E+02  4.1902388E+02  1.1189195E+04  4.1902388E+02  4.1857907E+02  2.7089298E+02  2.6071036E+02  2.2807388E+02  0.0000000E+00  8.8440864E+00
  9.7991588E+00  2.4513182E+02  2.7755314E+02  2.8766185E+02  4.3423817E+02  4.3469769E+02  1.1842213E+04  4.3469769E+02  4.3423820E+02  2.8766185E+02  2.7755314E+02  2.4513182E+02  9.7991588E+00  9.1486067E+00
  2.8893097E+01  2.6269760E+02  2.9491031E+02  3.0494816E+02  4.5044714E+02  4.5092121E+02  1.2501819E+04  4.5092121E+02  4.5044718E+02  3.0494816E+02  2.9491031E+02  2.6269760E+02  2.8893097E+01  9.4528886E+00
  4.8450101E+01  2.8077219E+02  3.1278239E+02  3.2275179E+02  4.6720390E+02  4.6769237E+02  1.3180737E+04  4.6769237E+02  4.6720394E+02  3.2275179E+02  3.1278239E+02  2.8077219E+02  4.8450101E+01  9.7578606E+00
  6.8473875E+01  2.9935690E+02  3.3117041E+02  3.4107364E+02  4.8450778E+02  4.8501054E+02  1.3878729E+04  4.8501054E+02  4.8450783E+02  3.4107364E+02  3.3117041E+02  2.9935690E+02  6.8473875E+01  1.0063527E+01
  8.8967376E+01  3.1845250E+02  3.5007482E+02  3.5991404E+02  5.0235772E+02  5.0287463E+02  1.4595545E+04  5.0287463E+02  5.0235776E+02  3.5991404E+02  3.5007482E+02  3.1845250E+02  8.8967376E+01  1.0369893E+01
  1.0993289E+02  3.3805923E+02  3.6949560E+02  3.7927286E+02  5.2075223E+02  5.2128319E+02  1.5330932E+04  5.2128319E+02  5.2075227E+02  3.7927286E+02  3.6949560E+02  3.3805923E+02  1.0993289E+02  1.0676961E+01
  1.3137208E+02  3.5817685E+02  3.8943225E+02  3.9914951E+02  5.3968951E+02  5.4023439E+02  1.6084629E+04  5.4023439E+02  5.3968955E+02  3.9914951E+02  3.8943225E+02  3.5817685E+02  1.3137208E+02  1.0984737E+01
  1.5328605E+02  3.7880469E+02  4.0988389E+02  4.1954299E+02  5.5916740E+02  5.5972610E+02  1.6856371E+04  5.5972610E+02  5.5916744E+02  4.1954299E+02  4.0988389E+02  3.7880469E+02  1.5328605E+02  1.1293225E+01
  1.7567539E+02  3.9994169E+02  4.3084921E+02  4.4045194E+02  5.7918345E+02  5.7975587E+02  1.7645890E+04  5.7975587E+02  5.7918350E+02  4.4045194E+02  4.3084921E+02  3.9994169E+02  1.7567539E+02  1.1602429E+01
  1.9854022E+02  4.2158643E+02  4.5232660E+02  4.6187464E+02  5.9973497E+02  6.0032098E+02  1.8452916E+04  6.0032098E+02  5.9973501E+02  4.6187464E+02  4.5232660E+02  4.2158643E+02  1.9854022E+02  1.1912354E+01
  2.2188023E+02  4.4373716E+02  4.7431411E+02  4.8380909E+02  6.2081897E+02  6.2141849E+02  1.9277178E+04  6.2141849E+02  6.2081902E+02  4.8380909E+02  4.7431411E+02  4.4373716E+02  2.2188023E+02  1.2223004E+01
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  2.6998265E+02  4.8954813E+02  5.1981035E+02  5.2920376E+02  6.6457152E+02  6.6519775E+02  2.0976318E+04  6.6519775E+02  6.6457157E+02  5.2920376E+02  5.1981035E+02  4.8954813E+02  2.6998265E+02  1.2846499E+01
  2.9474265E+02  5.1320350E+02  5.4331387E+02  5.5265865E+02  6.8723314E+02  6.8787257E+02  2.1850650E+04  6.8787257E+02  6.8723319E+02  5.5265865E+02  5.4331387E+02  5.1320350E+02  2.9474265E+02  1.3159353E+01
  3.1997305E+02  5.3735515E+02  5.6731715E+02  5.7661467E+02  7.1041338E+02  7.1106593E+02  2.2741129E+04  7.1106593E+02  7.1041343E+02  5.7661467E+02  5.6731715E+02  5.3735515E+02  3.1997305E+02  1.3472955E+01
  3.4567193E+02  5.6200011E+02  5.9181708E+02  6.0106863E+02  7.3410841E+02  7.3477398E+02  2.3647485E+04  7.3477399E+02  7.3410846E+02  6.0106863E+02  5.9181708E+02  5.6200011E+02  3.4567193E+02  1.3787308E+01
  3.7183712E+02  5.8713521E+02  6.1681036E+02  6.2601720E+02  7.5831420E+02  7.5899272E+02  2.4569448E+04  7.5899272E+02  7.5831426E+02  6.2601720E+02  6.1681036E+02  5.8713521E+02  3.7183712E+02  1.4102416E+01
  3.9846624E+02  6.1275714E+02  6.4229355E+02  6.5145689E+02  7.8302667E+02  7.8371803E+02  2.5506752E+04  7.8371803E+02  7.8302672E+02  6.5145689E+02  6.4229355E+02  6.1275714E+02  3.9846624E+02  1.4418281E+01
  4.2555670E+02  6.3886243E+02  6.6826306E+02  6.7738406E+02  8.0824159E+02  8.0894572E+02  2.6459135E+04  8.0894572E+02  8.0824164E+02  6.7738406E+02  6.6826306E+02  6.3886243E+02  4.2555670E+02  1.4734910E+01
  4.5310575E+02  6.6544749E+02  6.9471521E+02  7.0379497E+02  8.3395466E+02  8.3467147E+02  2.7426333E+04  8.3467147E+02  8.3395472E+02  7.0379497E+02  6.9471521E+02  6.6544749E+02  4.5310575E+02  1.5052307E+01
  4.8111048E+02  6.9250862E+02  7.2164616E+02  7.3068577E+02  8.6016151E+02  8.6089092E+02  2.8408089E+04  8.6089092E+02  8.6016157E+02  7.3068577E+02  7.2164616E+02  6.9250862E+02  4.8111048E+02  1.5370477E+01
  5.0956782E+02  7.2004202E+02  7.4905202E+02  7.5805252E+02  8.8685770E+02  8.8759962E+02  2.9404147E+04  8.8759963E+02  8.8685776E+02  7.5805252E+02  7.4905202E+02  7.2004202E+02  5.0956782E+02  1.5689426E+01
  0.0000000E+00  2.0000041E-10  1.0000000E-10  1.1907411E+01  2.0175940E+02  2.0171713E+02  4.0943577E+02  2.0171712E+02  2.0175941E+02  1.1907411E+01  1.0000033E-10  2.0000021E-10  0.0000000E+00  1.1251343E+00
  0.0000000E+00  2.0000014E-10  1.0000000E-10  1.1326859E+01  1.9563080E+02  1.9561191E+02  5.3638630E+02  1.9561190E+02  1.9563080E+02  1.1326859E+01  2.0000010E-10  6.0000000E-10  0.0000000E+00  1.1235824E+00
  0.0000000E+00  5.0000000E-10  6.1099690E-01  1.2228146E+01  1.9162057E+02  1.9162400E+02  6.8427135E+02  1.9162399E+02  1.9162058E+02  1.2228145E+01  6.1099690E-01  4.0000000E-10  0.0000000E+00  1.1612584E+00
  0.0000000E+00  2.0000199E-10  4.7992008E+00  1.6112636E+01  1.9057195E+02  1.9059685E+02  8.7829585E+02  1.9059684E+02  1.9057196E+02  1.6112636E+01  4.7992008E+00  3.0000000E-10  0.0000000E+00  1.3973081E+00
  0.0000000E+00  5.0000000E-10  9.4139198E+00  2.0467909E+01  1.9036017E+02  1.9040566E+02  1.0773420E+03  1.9040565E+02  1.9036018E+02  2.0467909E+01  9.4139198E+00  4.0000000E-10  0.0000000E+00  1.6338661E+00
  0.0000000E+00  1.0000032E-10  1.4408177E+01  2.5224468E+01  1.9142199E+02  1.9148720E+02  1.2836939E+03  1.9148719E+02  1.9142200E+02  2.5224468E+01  1.4408177E+01  4.0000425E-10  0.0000000E+00  1.8707430E+00
  0.0000000E+00  5.0000000E-10  1.9757189E+01  3.0355239E+01  1.9317610E+02  1.9326066E+02  1.4993479E+03  1.9326065E+02  1.9317611E+02  3.0355239E+01  1.9757189E+01  5.0000010E-10  0.0000000E+00  2.1079401E+00
  0.0000000E+00  5.0000000E-10  2.5449845E+01  3.5846097E+01  1.9550076E+02  1.9560382E+02  1.7259787E+03  1.9560380E+02  1.9550077E+02  3.5846097E+01  2.5449845E+01  5.0000000E-10  0.0000000E+00  2.3454586E+00
  0.0000000E+00  6.0000000E-10  3.1483344E+01  4.1707770E+01  1.9845166E+02  1.9857113E+02  1.9649601E+03  1.9857112E+02  1.9845167E+02  4.1707770E+01  3.1483344E+01  6.0000015E-10  0.0000000E+00  2.5832999E+00
  0.0000000E+00  4.8866389E+00  3.7859532E+01  4.7927723E+01  2.0196007E+02  2.0209679E+02  2.2107641E+03  2.0209678E+02  2.0196008E+02  4.7927723E+01  3.7859532E+01  4.8866389E+00  0.0000000E+00  2.8213794E+00
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  0.0000000E+00  1.9542095E+01  5.1671048E+01  6.1458422E+01  2.1054411E+02  2.1071474E+02  2.7452575E+03  2.1071473E+02  2.1054413E+02  6.1458422E+01  5.1671048E+01  1.9542095E+01  0.0000000E+00  3.2985438E+00
  0.0000000E+00  2.7394216E+01  5.9128511E+01  6.8793332E+01  2.1561606E+02  2.1580292E+02  3.0371325E+03  2.1580291E+02  2.1561608E+02  6.8793332E+01  5.9128511E+01  2.7394216E+01  0.0000000E+00  3.5376721E+00
  0.0000000E+00  3.5613724E+01  6.6990294E+01  7.6542509E+01  2.2119608E+02  2.2139909E+02  3.3461120E+03  2.2139908E+02  2.2119610E+02  7.6542509E+01  6.6990294E+01  3.5613724E+01  0.0000000E+00  3.7771665E+00
  0.0000000E+00  4.4212663E+01  7.5256839E+01  8.4696666E+01  2.2725971E+02  2.2747753E+02  3.6725493E+03  2.2747752E+02  2.2725974E+02  8.4696666E+01  7.5256839E+01  4.4212663E+01  0.0000000E+00  4.0170287E+00
  0.0000000E+00  5.3201874E+01  8.3930550E+01  9.3264258E+01  2.3386497E+02  2.3409806E+02  4.0166907E+03  2.3409804E+02  2.3386499E+02  9.3264258E+01  8.3930550E+01  5.3201874E+01  0.0000000E+00  4.2572603E+00
  0.0000000E+00  6.2590946E+01  9.3019524E+01  1.0225280E+02  2.4099842E+02  2.4124594E+02  4.3786910E+03  2.4124593E+02  2.4099844E+02  1.0225280E+02  9.3019524E+01  6.2590946E+01  0.0000000E+00  4.4978629E+00
  0.0000000E+00  7.2388228E+01  1.0253079E+02  1.1166882E+02  2.4868169E+02  2.4894431E+02  4.7586270E+03  2.4894430E+02  2.4868172E+02  1.1166882E+02  1.0253079E+02  7.2388228E+01  0.0000000E+00  4.7388382E+00
  0.0000000E+00  8.2600864E+01  1.1247034E+02  1.2151787E+02  2.5684909E+02  2.5712582E+02  5.1565096E+03  2.5712582E+02  2.5684913E+02  1.2151787E+02  1.1247034E+02  8.2600864E+01  0.0000000E+00  4.9801878E+00
  0.0000000E+00  9.3234844E+01  1.2284315E+02  1.3180452E+02  2.6559002E+02  2.6588081E+02  5.5722935E+03  2.6588081E+02  2.6559006E+02  1.3180452E+02  1.2284315E+02  9.3234844E+01  0.0000000E+00  5.2219135E+00
  0.0000000E+00  1.0429509E+02  1.3365322E+02  1.4253244E+02  2.7483185E+02  2.7513707E+02  6.0058862E+03  2.7513707E+02  2.7483189E+02  1.4253244E+02  1.3365322E+02  1.0429509E+02  0.0000000E+00  5.4640167E+00
  0.0000000E+00  1.1578552E+02  1.4490365E+02  1.5370443E+02  2.8456072E+02  2.8488020E+02  6.4571555E+03  2.8488020E+02  2.8456077E+02  1.5370443E+02  1.4490365E+02  1.1578552E+02  0.0000000E+00  5.7064994E+00
  0.0000000E+00  1.2770911E+02  1.5659671E+02  1.6532247E+02  2.9477485E+02  2.9510839E+02  6.9259362E+03  2.9510839E+02  2.9477489E+02  1.6532247E+02  1.5659671E+02  1.2770911E+02  0.0000000E+00  5.9493631E+00
  0.0000000E+00  1.4006803E+02  1.6873390E+02  1.7738780E+02  3.0554562E+02  3.0589159E+02  7.4120354E+03  3.0589159E+02  3.0554567E+02  1.7738780E+02  1.6873390E+02  1.4006803E+02  0.0000000E+00  6.1926096E+00
  0.0000000E+00  1.5286363E+02  1.8131597E+02  1.8990099E+02  3.1691695E+02  3.1727181E+02  7.9152374E+03  3.1727181E+02  3.1691700E+02  1.8990099E+02  1.8131597E+02  1.5286363E+02  0.0000000E+00  6.4362405E+00
  0.0000000E+00  1.6609659E+02  1.9434308E+02  2.0286196E+02  3.2878851E+02  3.2915674E+02  8.4353079E+03  3.2915674E+02  3.2878855E+02  2.0286196E+02  1.9434308E+02  1.6609659E+02  0.0000000E+00  6.6802578E+00
  0.0000000E+00  1.7976693E+02  2.0781477E+02  2.1627009E+02  3.4114438E+02  3.4152586E+02  8.9719977E+03  3.4152586E+02  3.4114442E+02  2.1627009E+02  2.0781477E+02  1.7976693E+02  0.0000000E+00  6.9246629E+00
  0.0000000E+00  1.9387413E+02  2.2173005E+02  2.3012422E+02  3.5398115E+02  3.5437575E+02  9.5250451E+03  3.5437575E+02  3.5398120E+02  2.3012422E+02  2.2173005E+02  1.9387413E+02  0.0000000E+00  7.1694579E+00
  8.3507521E+00  2.0841726E+02  2.3608759E+02  2.4442330E+02  3.6729543E+02  3.6770301E+02  1.0082258E+04  3.6770301E+02  3.6729548E+02  2.4442330E+02  2.3608759E+02  2.0841726E+02  8.3507521E+00  7.4138642E+00
  2.4623280E+01  2.2339418E+02  2.5088455E+02  2.5916421E+02  3.8108062E+02  3.8150106E+02  1.0644893E+04  3.8150106E+02  3.8108067E+02  2.5916421E+02  2.5088455E+02  2.2339418E+02  2.4623280E+01  7.6580707E+00
  4.1291065E+01  2.3880515E+02  2.6612082E+02  2.7434634E+02  3.9533436E+02  3.9576753E+02  1.1223749E+04  3.9576753E+02  3.9533441E+02  2.7434634E+02  2.6612082E+02  2.3880515E+02  4.1291065E+01  7.9028299E+00
  5.8356686E+01  2.5465072E+02  2.8179670E+02  2.8996988E+02  4.1005543E+02  4.1050125E+02  1.1818592E+04  4.1050125E+02  4.1005549E+02  2.8996988E+02  2.8179670E+02  2.5465072E+02  5.8356686E+01  8.1481454E+00
  7.5822086E+01  2.7093097E+02  2.9791201E+02  3.0603455E+02  4.2524231E+02  4.2570065E+02  1.2429182E+04  4.2570065E+02  4.2524236E+02  3.0603455E+02  2.9791201E+02  2.7093097E+02  7.5822086E+01  8.3940203E+00
  9.3688634E+01  2.8764554E+02  3.1446615E+02  3.2253967E+02  4.4089310E+02  4.4136384E+02  1.3055274E+04  4.4136385E+02  4.4089315E+02  3.2253967E+02  3.1446615E+02  2.8764554E+02  9.3688634E+01  8.6404582E+00
  1.1195718E+02  3.0479365E+02  3.3145814E+02  3.3948419E+02  4.5700562E+02  4.5748869E+02  1.3696622E+04  4.5748869E+02  4.5700568E+02  3.3948419E+02  3.3145814E+02  3.0479365E+02  1.1195718E+02  8.8874627E+00
  1.3062808E+02  3.2237419E+02  3.4888665E+02  3.5686669E+02  4.7357744E+02  4.7407273E+02  1.4352976E+04  4.7407274E+02  4.7357751E+02  3.5686669E+02  3.4888665E+02  3.2237419E+02  1.3062808E+02  9.1350371E+00
  1.4970130E+02  3.4038570E+02  3.6675002E+02  3.7468546E+02  4.9060589E+02  4.9111330E+02  1.5024084E+04  4.9111330E+02  4.9060594E+02  3.7468546E+02  3.6675002E+02  3.4038570E+02  1.4970130E+02  9.3831853E+00
  1.6917639E+02  3.5882641E+02  3.8504634E+02  3.9293851E+02  5.0808804E+02  5.0860748E+02  1.5709696E+04  5.0860748E+02  5.0808810E+02  3.9293851E+02  3.8504634E+02  3.5882641E+02  1.6917639E+02  9.6319104E+00
  1.8905253E+02  3.7769431E+02  4.0377341E+02  4.1162358E+02  5.2602081E+02  5.2655219E+02  1.6409558E+04  5.2655218E+02  5.2602087E+02  4.1162358E+02  4.0377341E+02  3.7769431E+02  1.8905253E+02  9.8812165E+00
  2.0932862E+02  3.9698714E+02  4.2292881E+02  4.3073821E+02  5.4440092E+02  5.4494415E+02  1.7123422E+04  5.4494415E+02  5.4440098E+02  4.3073821E+02  4.2292881E+02  3.9698714E+02  2.0932862E+02  1.0131107E+01
  2.3000325E+02  4.1670240E+02  4.4250992E+02  4.5027971E+02  5.6322495E+02  5.6377993E+02  1.7851035E+04  5.6377994E+02  5.6322501E+02  4.5027971E+02  4.4250992E+02  4.1670240E+02  2.3000325E+02  1.0381586E+01
  2.5107474E+02  4.3683743E+02  4.6251392E+02  4.7024522E+02  5.8248932E+02  5.8305599E+02  1.8592151E+04  5.8305599E+02  5.8248938E+02  4.7024522E+02  4.6251392E+02  4.3683743E+02  2.5107474E+02  1.0632656E+01
  2.7254120E+02  4.5738937E+02  4.8293783E+02  4.9063172E+02  6.0219036E+02  6.0276863E+02  1.9346522E+04  6.0276864E+02  6.0219042E+02  4.9063172E+02  4.8293783E+02  4.5738937E+02  2.7254120E+02  1.0884323E+01
  2.9440051E+02  4.7835521E+02  5.0377853E+02  5.1143602E+02  6.2232426E+02  6.2291405E+02  2.0113904E+04  6.2291405E+02  6.2232433E+02  5.1143602E+02  5.0377853E+02  4.7835521E+02  2.9440051E+02  1.1136589E+01
  3.1665037E+02  4.9973181E+02  5.2503274E+02  5.3265484E+02  6.4288713E+02  6.4348837E+02  2.0894054E+04  6.4348837E+02  6.4288721E+02  5.3265484E+02  5.2503274E+02  4.9973181E+02  3.1665037E+02  1.1389458E+01
  3.3928829E+02  5.2151590E+02  5.4669710E+02  5.5428475E+02  6.6387502E+02  6.6448761E+02  2.1686735E+04  6.6448762E+02  6.6387508E+02  5.5428475E+02  5.4669710E+02  5.2151590E+02  3.3928829E+02  1.1642934E+01
  3.6231165E+02  5.4370410E+02  5.6876814E+02  5.7632225E+02  6.8528386E+02  6.8590775E+02  2.2491708E+04  6.8590776E+02  6.8528393E+02  5.7632225E+02  5.6876814E+02  5.4370410E+02  3.6231165E+02  1.1897022E+01
  3.8571770E+02  5.6629294E+02  5.9124227E+02  5.9876373E+02  7.0710957E+02  7.0774468E+02  2.3308741E+04  7.0774468E+02  7.0710964E+02  5.9876373E+02  5.9124227E+02  5.6629294E+02  3.8571770E+02  1.2151725E+01
  4.0950353E+02  5.8927887E+02  6.1411585E+02  6.2160551E+02  7.2934799E+02  7.2999426E+02  2.4137604E+04  7.2999427E+02  7.2934807E+02  6.2160551E+02  6.1411585E+02  5.8927887E+02  4.0950353E+02  1.2407047E+01
  4.3366617E+02  6.1265825E+02  6.3738518E+02  6.4484385E+02  7.5199495E+02  7.5265229E+02  2.4978070E+04  7.5265230E+02  7.5199502E+02  6.4484385E+02  6.3738518E+02  6.1265825E+02  4.3366617E+02  1.2662992E+01
  0.0000000E+00  2.0000021E-10  1.0000000E-10  9.6300964E+00  1.6966318E+02  1.6962634E+02  3.6683379E+02  1.6962633E+02  1.6966319E+02  9.6300960E+00  1.0000000E-10  3.0000031E-10  0.0000000E+00  9.6289767E-01
  0.0000000E+00  2.0000000E-10  1.0000000E-10  9.2154516E+00  1.6436799E+02  1.6435155E+02  4.7620824E+02  1.6435153E+02  1.6436800E+02  9.2154512E+00  9.2616248E-15  1.0000712E-10  0.0000000E+00  9.6197189E-01
  0.0000000E+00  1.0000716E-10  5.3739807E-01  1.0059754E+01  1.6090750E+02  1.6091049E+02  6.0117257E+02  1.6091047E+02  1.6090750E+02  1.0059754E+01  5.3739807E-01  2.0000000E-10  0.0000000E+00  9.9221837E-01
  0.0000000E+00  3.0000000E-10  4.1860696E+00  1.3466668E+01  1.5997146E+02  1.5999315E+02  7.6172625E+02  1.5999313E+02  1.5997147E+02  1.3466668E+01  4.1860696E+00  2.0000000E-10  0.0000000E+00  1.1795639E+00
  0.0000000E+00  5.0000000E-10  8.1582543E+00  1.7232309E+01  1.5979018E+02  1.5982961E+02  9.2637025E+02  1.5982960E+02  1.5979019E+02  1.7232309E+01  8.1582543E+00  2.0000000E-10  0.0000000E+00  1.3673730E+00
  0.0000000E+00  5.0000000E-10  1.2423296E+01  2.1308959E+01  1.6071652E+02  1.6077326E+02  1.0973637E+03  1.6077325E+02  1.6071654E+02  2.1308959E+01  1.2423296E+01  1.0000015E-10  0.0000000E+00  1.5554343E+00
  0.0000000E+00  4.0000000E-10  1.6967989E+01  2.5679857E+01  1.6215885E+02  1.6223231E+02  1.2766142E+03  1.6223230E+02  1.6215887E+02  2.5679857E+01  1.6967989E+01  4.0000584E-10  0.0000000E+00  1.7437489E+00
  0.0000000E+00  3.0000073E-10  2.1789364E+01  3.0342645E+01  1.6410571E+02  1.6419519E+02  1.4656732E+03  1.6419517E+02  1.6410573E+02  3.0342645E+01  2.1789364E+01  5.0000000E-10  0.0000000E+00  1.9323177E+00
  0.0000000E+00  5.0000000E-10  2.6890272E+01  3.5310421E+01  1.6651291E+02  1.6661817E+02  1.6657787E+03  1.6661816E+02  1.6651293E+02  3.5310421E+01  2.6890272E+01  7.0000000E-10  0.0000000E+00  2.1211417E+00
  0.0000000E+00  4.1353873E+00  3.2276444E+01  4.0573801E+01  1.6937238E+02  1.6949306E+02  1.8731315E+03  1.6949305E+02  1.6937240E+02  4.0573800E+01  3.2276444E+01  4.1353873E+00  0.0000000E+00  2.3101514E+00
  0.0000000E+00  1.0191410E+01  3.7956815E+01  4.6140006E+01  1.7269543E+02  1.7283107E+02  2.0917713E+03  1.7283106E+02  1.7269546E+02  4.6140006E+01  3.7956815E+01  1.0191410E+01  0.0000000E+00  2.4994141E+00
  0.0000000E+00  1.6536336E+01  4.3943271E+01  5.2024979E+01  1.7645684E+02  1.7660715E+02  2.3245880E+03  1.7660714E+02  1.7645687E+02  5.2024979E+01  4.3943271E+01  1.6536336E+01  0.0000000E+00  2.6889640E+00
  0.0000000E+00  2.3184036E+01  5.0264814E+01  5.8251957E+01  1.8066609E+02  1.8083083E+02  2.5720823E+03  1.8083081E+02  1.8066612E+02  5.8251957E+01  5.0264814E+01  2.3184036E+01  0.0000000E+00  2.8788024E+00
  0.0000000E+00  3.0147175E+01  5.6924871E+01  6.4818169E+01  1.8531316E+02  1.8549206E+02  2.8346225E+03  1.8549205E+02  1.8531319E+02  6.4818169E+01  5.6924871E+01  3.0147175E+01  0.0000000E+00  3.0689305E+00
  0.0000000E+00  3.7437089E+01  6.3927750E+01  7.1732640E+01  1.9038320E+02  1.9057478E+02  3.1124647E+03  1.9057477E+02  1.9038323E+02  7.1732640E+01  6.3927750E+01  3.7437089E+01  0.0000000E+00  3.2593495E+00
  0.0000000E+00  4.5063759E+01  7.1281951E+01  7.9003348E+01  1.9593041E+02  1.9613569E+02  3.4057701E+03  1.9613568E+02  1.9593045E+02  7.9003348E+01  7.1281951E+01  4.5063759E+01  0.0000000E+00  3.4500608E+00
  0.0000000E+00  5.3035826E+01  7.8994827E+01  8.6637192E+01  2.0196362E+02  2.0218152E+02  3.7146205E+03  2.0218151E+02  2.0196365E+02  8.6637192E+01  7.8994827E+01  5.3035826E+01  0.0000000E+00  3.6410658E+00
  0.0000000E+00  6.1360652E+01  8.7072610E+01  9.4640008E+01  2.0843266E+02  2.0866377E+02  4.0390302E+03  2.0866376E+02  2.0843269E+02  9.4640008E+01  8.7072610E+01  6.1360652E+01  0.0000000E+00  3.8323654E+00
  0.0000000E+00  7.0044390E+01  9.5520459E+01  1.0301661E+02  2.1538170E+02  2.1562471E+02  4.3789580E+03  2.1562471E+02  2.1538174E+02  1.0301661E+02  9.5520459E+01  7.0044390E+01  0.0000000E+00  4.0239615E+00
  0.0000000E+00  7.9092073E+01  1.0434252E+02  1.1177083E+02  2.2278188E+02  2.2303768E+02  4.7343157E+03  2.2303768E+02  2.2278193E+02  1.1177083E+02  1.0434252E+02  7.9092073E+01  0.0000000E+00  4.2158548E+00
  0.0000000E+00  8.8507695E+01  1.1354202E+02  1.2090563E+02  2.3060506E+02  2.3087347E+02  5.1049765E+03  2.3087347E+02  2.3060511E+02  1.2090563E+02  1.1354202E+02  8.8507695E+01  0.0000000E+00  4.4080470E+00
  0.0000000E+00  9.8294305E+01  1.2312128E+02  1.3042310E+02  2.3889606E+02  2.3917400E+02  5.4907817E+03  2.3917400E+02  2.3889611E+02  1.3042310E+02  1.2312128E+02  9.8294305E+01  0.0000000E+00  4.6005394E+00
  0.0000000E+00  1.0845409E+02  1.3308189E+02  1.4032459E+02  2.4767916E+02  2.4796795E+02  5.8915464E+03  2.4796795E+02  2.4767923E+02  1.4032459E+02  1.3308189E+02  1.0845409E+02  0.0000000E+00  4.7933333E+00
  0.0000000E+00  1.1898847E+02  1.4342469E+02  1.5061077E+02  2.5693142E+02  2.5723218E+02  6.3070640E+03  2.5723218E+02  2.5693147E+02  1.5061077E+02  1.4342469E+02  1.1898847E+02  0.0000000E+00  4.9864300E+00
  0.0000000E+00  1.2989816E+02  1.5414987E+02  1.6128165E+02  2.6660628E+02  2.6691888E+02  6.7371112E+03  2.6691888E+02  2.6660633E+02  1.6128165E+02  1.5414987E+02  1.2989816E+02  0.0000000E+00  5.1798309E+00
  0.0000000E+00  1.4118321E+02  1.6525706E+02  1.7233669E+02  2.7670076E+02  2.7702507E+02  7.1814509E+03  2.7702507E+02  2.7670081E+02  1.7233669E+02  1.6525706E+02  1.4118321E+02  0.0000000E+00  5.3735375E+00
  0.0000000E+00  1.5284317E+02  1.7674535E+02  1.8377486E+02  2.8721158E+02  2.8754748E+02  7.6398352E+03  2.8754748E+02  2.8721164E+02  1.8377486E+02  1.7674535E+02  1.5284317E+02  0.0000000E+00  5.5675510E+00
  0.0000000E+00  1.6487704E+02  1.8861337E+02  1.9559465E+02  2.9813523E+02  2.9848260E+02  8.1120083E+03  2.9848260E+02  2.9813529E+02  1.9559465E+02  1.8861337E+02  1.6487704E+02  0.0000000E+00  5.7618729E+00
  7.1202400E+00  1.7728352E+02  2.0085947E+02  2.0779462E+02  3.0946814E+02  3.0982684E+02  8.5875553E+03  3.0982685E+02  3.0946820E+02  2.0779462E+02  2.0085947E+02  1.7728352E+02  7.1202400E+00  5.9558776E+00
  2.0995331E+01  1.9006026E+02  2.1348068E+02  2.2037161E+02  3.2120408E+02  3.2157400E+02  9.0675146E+03  3.2157400E+02  3.2120414E+02  2.2037161E+02  2.1348068E+02  1.9006026E+02  2.0995331E+01  6.1497156E+00
  3.5207468E+01  2.0320693E+02  2.2647638E+02  2.3332457E+02  3.3334039E+02  3.3372144E+02  9.5610566E+03  3.3372145E+02  3.3334046E+02  2.3332457E+02  2.2647638E+02  2.0320693E+02  3.5207468E+01  6.3439913E+00
  4.9758301E+01  2.1672346E+02  2.3984626E+02  2.4665312E+02  3.4587547E+02  3.4626755E+02  1.0067955E+04  3.4626756E+02  3.4587554E+02  2.4665312E+02  2.3984626E+02  2.1672346E+02  4.9758301E+01  6.5387075E+00
  6.4648942E+01  2.3060939E+02  2.5358964E+02  2.6035651E+02  3.5880742E+02  3.5921042E+02  1.0587981E+04  3.5921042E+02  3.5880749E+02  2.6035651E+02  2.5358964E+02  2.3060939E+02  6.4648942E+01  6.7338669E+00
  7.9880017E+01  2.4486387E+02  2.6770547E+02  2.7443363E+02  3.7213402E+02  3.7254786E+02  1.1120903E+04  3.7254787E+02  3.7213410E+02  2.7443363E+02  2.6770547E+02  2.4486387E+02  7.9880017E+01  6.9294724E+00
  9.5451719E+01  2.5948573E+02  2.8219239E+02  2.8888305E+02  3.8585288E+02  3.8627746E+02  1.1666488E+04  3.8627746E+02  3.8585295E+02  2.8888305E+02  2.8219239E+02  2.5948573E+02  9.5451719E+01  7.1255264E+00
  1.1136384E+02  2.7447350E+02  2.9704876E+02  3.0370306E+02  3.9996134E+02  4.0039657E+02  1.2224503E+04  4.0039657E+02  3.9996141E+02  3.0370306E+02  2.9704876E+02  2.7447350E+02  1.1136384E+02  7.3220320E+00
  1.2761583E+02  2.8982542E+02  3.1227266E+02  3.1889170E+02  4.1445656E+02  4.1490236E+02  1.2794717E+04  4.1490237E+02  4.1445664E+02  3.1889170E+02  3.1227266E+02  2.8982542E+02  1.2761583E+02  7.5189918E+00
  1.4420681E+02  3.0553952E+02  3.2786195E+02  3.3444678E+02  4.2933556E+02  4.2979185E+02  1.3376896E+04  4.2979185E+02  4.2933564E+02  3.3444678E+02  3.2786195E+02  3.0553952E+02  1.4420681E+02  7.7164089E+00
  1.6113560E+02  3.2161358E+02  3.4381430E+02  3.5036591E+02  4.4459517E+02  4.4506185E+02  1.3970809E+04  4.4506186E+02  4.4459525E+02  3.5036591E+02  3.4381430E+02  3.2161358E+02  1.6113560E+02  7.9142859E+00
  1.7840079E+02  3.3804522E+02  3.6012715E+02  3.6664652E+02  4.6023210E+02  4.6070911E+02  1.4576228E+04  4.6070912E+02  4.6023218E+02  3.6664651E+02  3.6012715E+02  3.3804522E+02  1.7840079E+02  8.1126260E+00
  1.9600071E+02  3.5483185E+02  3.7679784E+02  3.8328586E+02  4.7624294E+02  4.7673020E+02  1.5192925E+04  4.7673021E+02  4.7624302E+02  3.8328586E+02  3.7679784E+02  3.5483185E+02  1.9600071E+02  8.3114318E+00
  2.1393351E+02  3.7197077E+02  3.9382351E+02  4.0028106E+02  4.9262421E+02  4.9312164E+02  1.5820676E+04  4.9312163E+02  4.9262429E+02  4.0028106E+02  3.9382351E+02  3.7197077E+02  2.1393351E+02  8.5107066E+00
  2.3219712E+02  3.8945912E+02  4.1120119E+02  4.1762913E+02  5.0937227E+02  5.0987980E+02  1.6459258E+04  5.0987980E+02  5.0937235E+02  4.1762913E+02  4.1120119E+02  3.8945912E+02  2.3219712E+02  8.7104532E+00
  2.5078934E+02  4.0729391E+02  4.2892782E+02  4.3532694E+02  5.2648348E+02  5.2700103E+02  1.7108451E+04  5.2700104E+02  5.2648356E+02  4.3532694E+02  4.2892782E+02  4.0729391E+02  2.5078934E+02  8.9106746E+00
  2.6970779E+02  4.2547209E+02  4.4700022E+02  4.5337130E+02  5.4395409E+02  5.4448161E+02  1.7768039E+04  5.4448161E+02  5.4395417E+02  4.5337130E+02  4.4700022E+02  4.2547209E+02  2.6970779E+02  9.1113740E+00
  2.8894999E+02  4.4399047E+02  4.6541512E+02  4.7175891E+02  5.6178031E+02  5.6231772E+02  1.8437808E+04  5.6231773E+02  5.6178041E+02  4.7175890E+02  4.6541512E+02  4.4399047E+02  2.8894999E+02  9.3125543E+00
  3.0851331E+02  4.6284581E+02  4.8416919E+02  4.9048640E+02  5.7995833E+02  5.8050556E+02  1.9117549E+04  5.8050557E+02  5.7995842E+02  4.9048640E+02  4.8416919E+02  4.6284581E+02  3.0851331E+02  9.5142187E+00
  3.2839506E+02  4.8203480E+02  5.0325904E+02  5.0955036E+02  5.9848425E+02  5.9904126E+02  1.9807054E+04  5.9904126E+02  5.9848434E+02  5.0955036E+02  5.0325904E+02  4.8203480E+02  3.2839506E+02  9.7163704E+00
  3.4859243E+02  5.0155407E+02  5.2268121E+02  5.2894732E+02  6.1735421E+02  6.1792091E+02  2.0506120E+04  6.1792091E+02  6.1735430E+02  5.2894732E+02  5.2268121E+02  5.0155407E+02  3.4859243E+02  9.9190125E+00
  3.6910253E+02  5.2140020E+02  5.4243222E+02  5.4867375E+02  6.3656426E+02  6.3714059E+02  2.1214548E+04  6.3714060E+02  6.3656435E+02  5.4867375E+02  5.4243222E+02  5.2140020E+02  3.6910253E+02  1.0122148E+01
  0.0000000E+00  2.0000031E-10  8.5094461E-16  7.8409252E+00  1.4160056E+02  1.4156806E+02  3.3114696E+02  1.4156804E+02  1.4160056E+02  7.8409248E+00  1.0730081E-15  1.0000032E-10  0.0000000E+00  8.2377385E-01
  0.0000000E+00  2.0000000E-10  1.0000098E-10  7.5645449E+00  1.3697952E+02  1.3696503E+02  4.2442249E+02  1.3696501E+02  1.3697953E+02  7.5645445E+00  1.0000098E-10  1.0000000E-10  0.0000000E+00  8.2344905E-01
  0.0000000E+00  1.0000000E-10  4.7237326E-01  8.3488221E+00  1.3394389E+02  1.3394652E+02  5.2919463E+02  1.3394650E+02  1.3394390E+02  8.3488218E+00  4.7237326E-01  3.0000000E-10  0.0000000E+00  8.4760911E-01
  0.0000000E+00  2.0000000E-10  3.6474305E+00  1.1331551E+01  1.3306437E+02  1.3308342E+02  6.6105140E+02  1.3308340E+02  1.3306438E+02  1.1331551E+01  3.6474305E+00  2.0000000E-10  0.0000000E+00  9.9461089E-01
  0.0000000E+00  2.0000026E-10  7.0606193E+00  1.4580671E+01  1.3292675E+02  1.3296136E+02  7.9644898E+02  1.3296134E+02  1.3292677E+02  1.4580671E+01  7.0606193E+00  3.0000000E-10  0.0000000E+00  1.1419224E+00
  0.0000000E+00  4.0000000E-10  1.0695737E+01  1.8065856E+01  1.3363403E+02  1.3368382E+02  9.3756269E+02  1.3368380E+02  1.3363405E+02  1.8065856E+01  1.0695737E+01  3.0000045E-10  0.0000000E+00  1.2894905E+00
  0.0000000E+00  4.0000501E-10  1.4549528E+01  2.1781210E+01  1.3477567E+02  1.3483993E+02  1.0861687E+03  1.3483991E+02  1.3477569E+02  2.1781210E+01  1.4549528E+01  3.0000000E-10  0.0000000E+00  1.4372566E+00
  0.0000000E+00  2.0000291E-10  1.8625794E+01  2.5736317E+01  1.3633786E+02  1.3641633E+02  1.2436693E+03  1.3641632E+02  1.3633789E+02  2.5736317E+01  1.8625794E+01  5.0000291E-10  0.0000000E+00  1.5852218E+00
  0.0000000E+00  3.0000000E-10  2.2931915E+01  2.9937882E+01  1.3828900E+02  1.3838128E+02  1.4116144E+03  1.3838126E+02  1.3828902E+02  2.9937882E+01  2.2931915E+01  5.0000000E-10  0.0000000E+00  1.7333866E+00
  0.0000000E+00  3.4968304E+00  2.7476583E+01  3.4386061E+01  1.4061480E+02  1.4072044E+02  1.5861661E+03  1.4072043E+02  1.4061483E+02  3.4386061E+01  2.7476583E+01  3.4968304E+00  0.0000000E+00  1.8816941E+00
  0.0000000E+00  8.6179666E+00  3.2270296E+01  3.9095106E+01  1.4336092E+02  1.4347965E+02  1.7707117E+03  1.4347964E+02  1.4336095E+02  3.9095106E+01  3.2270296E+01  8.6179666E+00  0.0000000E+00  2.0301986E+00
  0.0000000E+00  1.3985718E+01  3.7338627E+01  4.4084205E+01  1.4647847E+02  1.4660995E+02  1.9678615E+03  1.4660994E+02  1.4647850E+02  4.4084205E+01  3.7338627E+01  1.3985718E+01  0.0000000E+00  2.1789278E+00
  0.0000000E+00  1.9613554E+01  4.2688765E+01  4.9355712E+01  1.4998430E+02  1.5012823E+02  2.1780010E+03  1.5012821E+02  1.4998434E+02  4.9355711E+01  4.2688765E+01  1.9613554E+01  0.0000000E+00  2.3278829E+00
  0.0000000E+00  2.5513455E+01  4.8326309E+01  5.4919342E+01  1.5385968E+02  1.5401598E+02  2.4013969E+03  1.5401597E+02  1.5385972E+02  5.4919342E+01  4.8326309E+01  2.5513455E+01  0.0000000E+00  2.4770648E+00
  0.0000000E+00  3.1695902E+01  5.4260267E+01  6.0783635E+01  1.5812753E+02  1.5829482E+02  2.6382173E+03  1.5829480E+02  1.5812757E+02  6.0783634E+01  5.4260267E+01  3.1695902E+01  0.0000000E+00  2.6264744E+00
  0.0000000E+00  3.8169915E+01  6.0498388E+01  6.6955928E+01  1.6280983E+02  1.6298845E+02  2.8885477E+03  1.6298844E+02  1.6280987E+02  6.6955927E+01  6.0498388E+01  3.8169915E+01  0.0000000E+00  2.7761128E+00
  0.0000000E+00  4.4943139E+01  6.7047201E+01  7.3442398E+01  1.6790673E+02  1.6809678E+02  3.1524059E+03  1.6809677E+02  1.6790677E+02  7.3442398E+01  6.7047201E+01  4.4943139E+01  0.0000000E+00  2.9259810E+00
  0.0000000E+00  5.2021932E+01  7.3912091E+01  8.0248123E+01  1.7340572E+02  1.7360659E+02  3.4297531E+03  1.7360659E+02  1.7340577E+02  8.0248123E+01  7.3912091E+01  5.2021932E+01  0.0000000E+00  3.0760801E+00
  0.0000000E+00  5.9411470E+01  8.1097372E+01  8.7377146E+01  1.7931551E+02  1.7952560E+02  3.7205046E+03  1.7952560E+02  1.7931557E+02  8.7377146E+01  8.1097372E+01  5.9411470E+01  0.0000000E+00  3.2264110E+00
  0.0000000E+00  6.7115850E+01  8.8606383E+01  9.4832567E+01  1.8565256E+02  1.8587361E+02  4.0245377E+03  1.8587361E+02  1.8565262E+02  9.4832567E+01  8.8606383E+01  6.7115850E+01  0.0000000E+00  3.3769749E+00
  0.0000000E+00  7.5138196E+01  9.6441569E+01  1.0261662E+02  1.9235955E+02  1.9259141E+02  4.3416987E+03  1.9259141E+02  1.9235962E+02  1.0261662E+02  9.6441569E+01  7.5138196E+01  0.0000000E+00  3.5277726E+00
  0.0000000E+00  8.3480748E+01  1.0460457E+02  1.1073075E+02  1.9943949E+02  1.9968084E+02  4.6718093E+03  1.9968084E+02  1.9943956E+02  1.1073075E+02  1.0460457E+02  8.3480748E+01  0.0000000E+00  3.6788055E+00
  0.0000000E+00  9.2144963E+01  1.1309629E+02  1.1917571E+02  2.0694623E+02  2.0719804E+02  5.0146711E+03  2.0719804E+02  2.0694630E+02  1.1917571E+02  1.1309629E+02  9.2144963E+01  0.0000000E+00  3.8300744E+00
  0.0000000E+00  1.0113159E+02  1.2191700E+02  1.2795162E+02  2.1481996E+02  2.1508210E+02  5.3700700E+03  2.1508211E+02  2.1482003E+02  1.2795162E+02  1.2191700E+02  1.0113159E+02  0.0000000E+00  3.9815803E+00
  0.0000000E+00  1.1044076E+02  1.3106639E+02  1.3705800E+02  2.2305781E+02  2.2333016E+02  5.7377796E+03  2.2333016E+02  2.2305788E+02  1.3705801E+02  1.3106639E+02  1.1044076E+02  0.0000000E+00  4.1333246E+00
  0.0000000E+00  1.2007202E+02  1.4054362E+02  1.4649393E+02  2.3165664E+02  2.3193907E+02  6.1175643E+03  2.3193907E+02  2.3165671E+02  1.4649393E+02  1.4054362E+02  1.2007202E+02  0.0000000E+00  4.2853080E+00
  0.0000000E+00  1.3002448E+02  1.5034740E+02  1.5625799E+02  2.4061306E+02  2.4090546E+02  6.5091818E+03  2.4090546E+02  2.4061314E+02  1.5625799E+02  1.5034740E+02  1.3002448E+02  0.0000000E+00  4.4375319E+00
  0.0000000E+00  1.4029675E+02  1.6047605E+02  1.6634840E+02  2.4992348E+02  2.5022573E+02  6.9123850E+03  2.5022574E+02  2.4992356E+02  1.6634840E+02  1.6047605E+02  1.4029675E+02  0.0000000E+00  4.5899973E+00
  6.0746236E+00  1.5088724E+02  1.7092764E+02  1.7676341E+02  2.5958424E+02  2.5989624E+02  7.3182717E+03  2.5989624E+02  2.5958432E+02  1.7676341E+02  1.7092764E+02  1.5088724E+02  6.0746236E+00  4.7422057E+00
  1.7912073E+01  1.6179343E+02  1.8169914E+02  1.8749982E+02  2.6958944E+02  2.6991109E+02  7.7277007E+03  2.6991109E+02  2.6958952E+02  1.8749982E+02  1.8169914E+02  1.6179343E+02  1.7912073E+01  4.8942759E+00
  3.0036547E+01  1.7301452E+02  1.9278949E+02  1.9855624E+02  2.7993627E+02  2.8026748E+02  8.1484619E+03  2.8026748E+02  2.7993636E+02  1.9855624E+02  1.9278949E+02  1.7301452E+02  3.0036547E+01  5.0466893E+00
  4.2448937E+01  1.8454995E+02  2.0419792E+02  2.0993185E+02  2.9062282E+02  2.9096349E+02  8.5803402E+03  2.9096349E+02  2.9062291E+02  2.0993185E+02  2.0419792E+02  1.8454995E+02  4.2448937E+01  5.1994480E+00
  5.5149685E+01  1.9639883E+02  2.1592336E+02  2.2162551E+02  3.0164690E+02  3.0199694E+02  9.0231195E+03  3.0199694E+02  3.0164699E+02  2.2162551E+02  2.1592336E+02  1.9639883E+02  5.5149685E+01  5.3525541E+00
  6.8138830E+01  2.0855994E+02  2.2796441E+02  2.3363578E+02  3.1300611E+02  3.1336544E+02  9.4765832E+03  3.1336545E+02  3.1300620E+02  2.3363578E+02  2.2796441E+02  2.0855994E+02  6.8138830E+01  5.5060097E+00
  8.1416048E+01  2.2103181E+02  2.4031943E+02  2.4596098E+02  3.2469788E+02  3.2506641E+02  9.9405152E+03  3.2506642E+02  3.2469798E+02  2.4596098E+02  2.4031943E+02  2.2103181E+02  8.1416048E+01  5.6598171E+00
  9.4980692E+01  2.3381272E+02  2.5298655E+02  2.5859918E+02  3.3671945E+02  3.3709711E+02  1.0414700E+04  3.3709712E+02  3.3671955E+02  2.5859917E+02  2.5298655E+02  2.3381272E+02  9.4980692E+01  5.8139784E+00
  1.0883183E+02  2.4690071E+02  2.6596369E+02  2.7154825E+02  3.4906792E+02  3.4945462E+02  1.0898924E+04  3.4945463E+02  3.4906802E+02  2.7154825E+02  2.6596369E+02  2.4690071E+02  1.0883183E+02  5.9684959E+00
  1.2296826E+02  2.6029365E+02  2.7924857E+02  2.8480589E+02  3.6174026E+02  3.6213593E+02  1.1392975E+04  3.6213594E+02  3.6174035E+02  2.8480589E+02  2.7924857E+02  2.6029365E+02  1.2296826E+02  6.1233717E+00
  1.3738856E+02  2.7398924E+02  2.9283877E+02  2.9836964E+02  3.7473331E+02  3.7513788E+02  1.1896642E+04  3.7513789E+02  3.7473341E+02  2.9836964E+02  2.9283877E+02  2.7398924E+02  1.3738856E+02  6.2786083E+00
  1.5209109E+02  2.8798503E+02  3.0673171E+02  3.1223687E+02  3.8804384E+02  3.8845723E+02  1.2409719E+04  3.8845724E+02  3.8804394E+02  3.1223687E+02  3.0673171E+02  2.8798503E+02  1.5209109E+02  6.4342078E+00
  1.6707404E+02  3.0227841E+02  3.2092471E+02  3.2640488E+02  4.0166852E+02  4.0209067E+02  1.2932001E+04  4.0209068E+02  4.0166863E+02  3.2640488E+02  3.2092471E+02  3.0227841E+02  1.6707404E+02  6.5901725E+00
  1.8233543E+02  3.1686670E+02  3.3541494E+02  3.4087082E+02  4.1560395E+02  4.1603479E+02  1.3463285E+04  4.1603481E+02  4.1560406E+02  3.4087082E+02  3.3541494E+02  3.1686670E+02  1.8233543E+02  6.7465049E+00
  1.9787314E+02  3.3174708E+02  3.5019952E+02  3.5563177E+02  4.2984668E+02  4.3028615E+02  1.4003372E+04  4.3028616E+02  4.2984679E+02  3.5563177E+02  3.5019952E+02  3.3174708E+02  1.9787314E+02  6.9032073E+00
  2.1368492E+02  3.4691666E+02  3.6527547E+02  3.7068471E+02  4.4439320E+02  4.4484123E+02  1.4552068E+04  4.4484124E+02  4.4439331E+02  3.7068471E+02  3.6527547E+02  3.4691666E+02  2.1368492E+02  7.0602819E+00
  2.2976840E+02  3.6237249E+02  3.8063972E+02  3.8602658E+02  4.5923996E+02  4.5969649E+02  1.5109179E+04  4.5969650E+02  4.5924007E+02  3.8602658E+02  3.8063972E+02  3.6237249E+02  2.2976840E+02  7.2177313E+00
  2.4612114E+02  3.7811152E+02  3.9628918E+02  4.0165423E+02  4.7438340E+02  4.7484836E+02  1.5674516E+04  4.7484838E+02  4.7438351E+02  4.0165423E+02  3.9628918E+02  3.7811152E+02  2.4612114E+02  7.3755579E+00
  2.6274058E+02  3.9413068E+02  4.1222069E+02  4.1756450E+02  4.8981990E+02  4.9029325E+02  1.6247894E+04  4.9029327E+02  4.8982002E+02  4.1756450E+02  4.1222069E+02  3.9413068E+02  2.6274058E+02  7.5337640E+00
  2.7962412E+02  4.1042686E+02  4.2843104E+02  4.3375416E+02  5.0554587E+02  5.0602754E+02  1.6829132E+04  5.0602756E+02  5.0554599E+02  4.3375416E+02  4.2843104E+02  4.1042686E+02  2.7962412E+02  7.6923524E+00
  2.9676907E+02  4.2699688E+02  4.4491703E+02  4.5021997E+02  5.2155768E+02  5.2204762E+02  1.7418050E+04  5.2204764E+02  5.2155780E+02  4.5021997E+02  4.4491703E+02  4.2699688E+02  2.9676907E+02  7.8513253E+00
  3.1417270E+02  4.4383756E+02  4.6167538E+02  4.6695866E+02  5.3785171E+02  5.3834986E+02  1.8014473E+04  5.3834987E+02  5.3785183E+02  4.6695866E+02  4.6167538E+02  4.4383756E+02  3.1417270E+02  8.0106853E+00
  0.0000000E+00  2.0000013E-10  1.8144053E-15  6.4532996E+00  1.1669289E+02  1.1666449E+02  3.0130456E+02  1.1666447E+02  1.1669291E+02  6.4532992E+00  1.0000000E-10  3.0000021E-10  0.0000000E+00  7.0463576E-01
  0.0000000E+00  2.0000000E-10  1.0000011E-10  6.2831528E+00  1.1269276E+02  1.1268010E+02  3.7985782E+02  1.1268008E+02  1.1269277E+02  6.2831524E+00  1.0000000E-10  2.0000000E-10  0.0000000E+00  7.0478772E-01
  0.0000000E+00  3.3671288E-15  4.1437983E-01  7.0085166E+00  1.1003404E+02  1.1003634E+02  4.6689157E+02  1.1003632E+02  1.1003406E+02  7.0085163E+00  4.1437983E-01  2.0000000E-10  0.0000000E+00  7.2396995E-01
  0.0000000E+00  3.0000000E-10  3.1707975E+00  9.6094792E+00  1.0927364E+02  1.0928996E+02  5.7423316E+02  1.0928994E+02  1.0927366E+02  9.6094790E+00  3.1707975E+00  4.0000000E-10  0.0000000E+00  8.3805447E-01
  0.0000000E+00  3.0000000E-10  6.0956644E+00  1.2403421E+01  1.0922502E+02  1.0925466E+02  6.8486177E+02  1.0925464E+02  1.0922504E+02  1.2403421E+01  6.0956644E+00  3.0000000E-10  0.0000000E+00  9.5229092E-01
  0.0000000E+00  4.0000000E-10  9.1853296E+00  1.5372744E+01  1.0979647E+02  1.0983908E+02  8.0081558E+02  1.0983906E+02  1.0979650E+02  1.5372744E+01  9.1853296E+00  3.0000000E-10  0.0000000E+00  1.0667691E+00
  0.0000000E+00  3.0000000E-10  1.2444888E+01  1.8522698E+01  1.1073436E+02  1.1078931E+02  9.2370686E+02  1.1078929E+02  1.1073439E+02  1.8522698E+01  1.2444888E+01  3.0000190E-10  0.0000000E+00  1.1814242E+00
  0.0000000E+00  3.0000000E-10  1.5883604E+01  2.1868362E+01  1.1200876E+02  1.1207584E+02  1.0547752E+03  1.1207582E+02  1.1200879E+02  2.1868361E+01  1.5883604E+01  3.0000000E-10  0.0000000E+00  1.2962332E+00
  0.0000000E+00  7.0000000E-10  1.9512330E+01  2.5414356E+01  1.1360566E+02  1.1368452E+02  1.1959099E+03  1.1368450E+02  1.1360569E+02  2.5414356E+01  1.9512330E+01  4.0000000E-10  0.0000000E+00  1.4111967E+00
  0.0000000E+00  2.9542896E+00  2.3341882E+01  2.9172269E+01  1.1552952E+02  1.1561966E+02  1.3427876E+03  1.1561964E+02  1.1552956E+02  2.9172269E+01  2.3341882E+01  2.9542896E+00  0.0000000E+00  1.5262682E+00
  0.0000000E+00  7.2823987E+00  2.7393151E+01  3.3156692E+01  1.1780349E+02  1.1790478E+02  1.4987337E+03  1.1790476E+02  1.1780353E+02  3.3156692E+01  2.7393151E+01  7.2823987E+00  0.0000000E+00  1.6414911E+00
  0.0000000E+00  1.1822391E+01  3.1677197E+01  3.7374160E+01  1.2039320E+02  1.2050529E+02  1.6659176E+03  1.2050527E+02  1.2039324E+02  3.7374160E+01  3.1677197E+01  1.1822391E+01  0.0000000E+00  1.7568880E+00
  0.0000000E+00  1.6587078E+01  3.6200734E+01  4.1835248E+01  1.2331373E+02  1.2343645E+02  1.8446184E+03  1.2343643E+02  1.2331377E+02  4.1835248E+01  3.6200734E+01  1.6587078E+01  0.0000000E+00  1.8724597E+00
  0.0000000E+00  2.1587584E+01  4.0973404E+01  4.6549170E+01  1.2654734E+02  1.2668035E+02  2.0350106E+03  1.2668033E+02  1.2654739E+02  4.6549170E+01  4.0973404E+01  2.1587584E+01  0.0000000E+00  1.9882070E+00
  0.0000000E+00  2.6833417E+01  4.6003441E+01  5.1523790E+01  1.3014831E+02  1.3029052E+02  2.2371837E+03  1.3029051E+02  1.3014836E+02  5.1523790E+01  4.6003441E+01  2.6833417E+01  0.0000000E+00  2.1041306E+00
  0.0000000E+00  3.2332578E+01  5.1297742E+01  5.6765687E+01  1.3409263E+02  1.3424419E+02  2.4511575E+03  1.3424419E+02  1.3409270E+02  5.6765687E+01  5.1297742E+01  3.2332578E+01  0.0000000E+00  2.2202314E+00
  0.0000000E+00  3.8091683E+01  5.6861960E+01  6.2280240E+01  1.3842899E+02  1.3858937E+02  2.6768952E+03  1.3858937E+02  1.3842906E+02  6.2280240E+01  5.6861960E+01  3.8091683E+01  0.0000000E+00  2.3365102E+00
  0.0000000E+00  4.4116092E+01  6.2700611E+01  6.8071722E+01  1.4312558E+02  1.4329520E+02  2.9143137E+03  1.4329520E+02  1.4312565E+02  6.8071721E+01  6.2700611E+01  4.4116092E+01  0.0000000E+00  2.4529677E+00
  0.0000000E+00  5.0410030E+01  6.8817171E+01  7.4143400E+01  1.4816226E+02  1.4834329E+02  3.1632932E+03  1.4834329E+02  1.4816234E+02  7.4143400E+01  6.8817171E+01  5.0410030E+01  0.0000000E+00  2.5696047E+00
  0.0000000E+00  5.6976708E+01  7.5214195E+01  8.0497641E+01  1.5355039E+02  1.5374074E+02  3.4236839E+03  1.5374074E+02  1.5355047E+02  8.0497641E+01  7.5214195E+01  5.6976708E+01  0.0000000E+00  2.6864221E+00
  0.0000000E+00  6.3818430E+01  8.1893399E+01  8.7135996E+01  1.5925900E+02  1.5945852E+02  3.6953127E+03  1.5945852E+02  1.5925909E+02  8.7135996E+01  8.1893399E+01  6.3818430E+01  0.0000000E+00  2.8034206E+00
  0.0000000E+00  7.0936695E+01  8.8855759E+01  9.4059294E+01  1.6533461E+02  1.6554212E+02  3.9779876E+03  1.6554212E+02  1.6533470E+02  9.4059294E+01  8.8855759E+01  7.0936695E+01  0.0000000E+00  2.9206012E+00
  0.0000000E+00  7.8332297E+01  9.6101596E+01  1.0126773E+02  1.7173624E+02  1.7195262E+02  4.2715026E+03  1.7195262E+02  1.7173633E+02  1.0126773E+02  9.6101596E+01  7.8332297E+01  0.0000000E+00  3.0379646E+00
  0.0000000E+00  8.6005400E+01  1.0363065E+02  1.0876092E+02  1.7845424E+02  1.7867936E+02  4.5756407E+03  1.7867937E+02  1.7845433E+02  1.0876092E+02  1.0363065E+02  8.6005400E+01  0.0000000E+00  3.1555116E+00
  0.0000000E+00  9.3955618E+01  1.1144216E+02  1.1653799E+02  1.8548559E+02  1.8571934E+02  4.8901771E+03  1.8571935E+02  1.8548569E+02  1.1653799E+02  1.1144216E+02  9.3955618E+01  0.0000000E+00  3.2732432E+00
  0.0000000E+00  1.0218208E+02  1.1953490E+02  1.2459763E+02  1.9282705E+02  1.9306932E+02  5.2148814E+03  1.9306932E+02  1.9282714E+02  1.2459763E+02  1.1953490E+02  1.0218208E+02  0.0000000E+00  3.3911601E+00
  0.0000000E+00  1.1068350E+02  1.2790727E+02  1.3293815E+02  2.0047516E+02  2.0072584E+02  5.5495198E+03  2.0072584E+02  2.0047526E+02  1.3293815E+02  1.2790727E+02  1.1068350E+02  0.0000000E+00  3.5092632E+00
  0.0000000E+00  1.1945822E+02  1.3655733E+02  1.4155754E+02  2.0842630E+02  2.0868529E+02  5.8938566E+03  2.0868530E+02  2.0842640E+02  1.4155754E+02  1.3655733E+02  1.1945822E+02  0.0000000E+00  3.6275533E+00
  5.1857256E+00  1.2850438E+02  1.4548294E+02  1.5045377E+02  2.1667681E+02  2.1694401E+02  6.2402782E+03  2.1694402E+02  2.1667691E+02  1.5045377E+02  1.4548294E+02  1.2850438E+02  5.1857256E+00  3.7456364E+00
  1.5290544E+01  1.3781936E+02  1.5468104E+02  1.5962368E+02  2.2522112E+02  2.2549644E+02  6.5894943E+03  2.2549645E+02  2.2522123E+02  1.5962368E+02  1.5468104E+02  1.3781936E+02  1.5290544E+01  3.8636057E+00
  2.5639374E+01  1.4740199E+02  1.6415022E+02  1.6906559E+02  2.3405635E+02  2.3433971E+02  6.9481267E+03  2.3433972E+02  2.3405646E+02  1.6906559E+02  1.6415022E+02  1.4740199E+02  2.5639374E+01  3.9818409E+00
  3.6232498E+01  1.5725133E+02  1.7388937E+02  1.7877834E+02  2.4318034E+02  2.4347165E+02  7.3159733E+03  2.4347166E+02  2.4318045E+02  1.7877834E+02  1.7388937E+02  1.5725133E+02  3.6232498E+01  4.1003440E+00
  4.7069827E+01  1.6736615E+02  1.8389709E+02  1.8876049E+02  2.5259075E+02  2.5288993E+02  7.6928325E+03  2.5288994E+02  2.5259087E+02  1.8876049E+02  1.8389709E+02  1.6736615E+02  4.7069827E+01  4.2191164E+00
  5.8150942E+01  1.7774498E+02  1.9417176E+02  1.9901039E+02  2.6228506E+02  2.6259204E+02  8.0785038E+03  2.6259205E+02  2.6228518E+02  1.9901039E+02  1.9417176E+02  1.7774498E+02  5.8150942E+01  4.3381600E+00
  6.9475127E+01  1.8838612E+02  2.0471155E+02  2.0952614E+02  2.7226061E+02  2.7257530E+02  8.4727880E+03  2.7257532E+02  2.7226073E+02  2.0952614E+02  2.0471155E+02  1.8838612E+02  6.9475127E+01  4.4574763E+00
  8.1041406E+01  1.9928768E+02  2.1551442E+02  2.2030570E+02  2.8251460E+02  2.8283694E+02  8.8754881E+03  2.8283696E+02  2.8251472E+02  2.2030570E+02  2.1551442E+02  1.9928768E+02  8.1041406E+01  4.5770672E+00
  9.2848569E+01  2.1044760E+02  2.2657819E+02  2.3134685E+02  2.9304414E+02  2.9337406E+02  9.2864094E+03  2.9337407E+02  2.9304426E+02  2.3134684E+02  2.2657819E+02  2.1044760E+02  9.2848569E+01  4.6969343E+00
  1.0489520E+02  2.2186366E+02  2.3790054E+02  2.4264721E+02  3.0384622E+02  3.0418364E+02  9.7053596E+03  3.0418366E+02  3.0384635E+02  2.4264721E+02  2.3790054E+02  2.2186366E+02  1.0489520E+02  4.8170794E+00
  1.1717970E+02  2.3353352E+02  2.4947902E+02  2.5420433E+02  3.1491777E+02  3.1526263E+02  1.0132149E+04  3.1526265E+02  3.1491790E+02  2.5420433E+02  2.4947902E+02  2.3353352E+02  1.1717970E+02  4.9375043E+00
  1.2970031E+02  2.4545472E+02  2.6131106E+02  2.6601561E+02  3.2625564E+02  3.2660788E+02  1.0566592E+04  3.2660790E+02  3.2625577E+02  2.6601561E+02  2.6131106E+02  2.4545472E+02  1.2970031E+02  5.0582108E+00
  1.4245514E+02  2.5762471E+02  2.7339402E+02  2.7807838E+02  3.3785663E+02  3.3821619E+02  1.1008505E+04  3.3821620E+02  3.3785677E+02  2.7807838E+02  2.7339402E+02  2.5762471E+02  1.4245514E+02  5.1792005E+00
  1.5544215E+02  2.7004085E+02  2.8572517E+02  2.9038988E+02  3.4971750E+02  3.5008431E+02  1.1457708E+04  3.5008433E+02  3.4971764E+02  2.9038988E+02  2.8572517E+02  2.7004085E+02  1.5544215E+02  5.3004756E+00
  1.6865922E+02  2.8270042E+02  2.9830172E+02  3.0294731E+02  3.6183497E+02  3.6220897E+02  1.1914024E+04  3.6220899E+02  3.6183511E+02  3.0294731E+02  2.9830172E+02  2.8270042E+02  1.6865922E+02  5.4220376E+00
  1.8210412E+02  2.9560067E+02  3.1112081E+02  3.1574779E+02  3.7420573E+02  3.7458686E+02  1.2377280E+04  3.7458688E+02  3.7420586E+02  3.1574779E+02  3.1112081E+02  2.9560067E+02  1.8210412E+02  5.5438886E+00
  1.9577455E+02  3.0873877E+02  3.2417957E+02  3.2878841E+02  3.8682645E+02  3.8721467E+02  1.2847307E+04  3.8721469E+02  3.8682659E+02  3.2878841E+02  3.2417957E+02  3.0873877E+02  1.9577455E+02  5.6660303E+00
  2.0966812E+02  3.2211186E+02  3.3747504E+02  3.4206622E+02  3.9969379E+02  4.0008904E+02  1.3323939E+04  4.0008906E+02  3.9969394E+02  3.4206622E+02  3.3747504E+02  3.2211186E+02  2.0966812E+02  5.7884647E+00
  2.2378241E+02  3.3571706E+02  3.5100429E+02  3.5557825E+02  4.1280443E+02  4.1320665E+02  1.3807012E+04  4.1320668E+02  4.1280457E+02  3.5557825E+02  3.5100429E+02  3.3571706E+02  2.2378241E+02  5.9111937E+00
  2.3811492E+02  3.4955143E+02  3.6476434E+02  3.6932150E+02  4.2615501E+02  4.2656416E+02  1.4296369E+04  4.2656418E+02  4.2615516E+02  3.6932150E+02  3.6476434E+02  3.4955143E+02  2.3811492E+02  6.0342192E+00
  2.5266315E+02  3.6361207E+02  3.7875218E+02  3.8329297E+02  4.3974220E+02  4.4015823E+02  1.4791852E+04  4.4015825E+02  4.3974235E+02  3.8329297E+02  3.7875218E+02  3.6361207E+02  2.5266315E+02  6.1575433E+00
  2.6742452E+02  3.7789600E+02  3.9296482E+02  3.9748965E+02  4.5356268E+02  4.5398553E+02  1.5293311E+04  4.5398555E+02  4.5356283E+02  3.9748964E+02  3.9296482E+02  3.7789600E+02  2.6742452E+02  6.2811678E+00
  0.0000000E+00  3.0000000E-10  1.0000000E-10  5.3837417E+00  9.5086788E+01  9.5062399E+01  2.7667932E+02  9.5062373E+01  9.5086805E+01  5.3837413E+00  3.7018896E-15  2.0000000E-10  0.0000000E+00  6.0256967E-01
  0.0000000E+00  2.0000000E-10  2.0000000E-10  5.2886185E+00  9.1696596E+01  9.1685786E+01  3.4195915E+02  9.1685760E+01  9.1696618E+01  5.2886182E+00  4.2941462E-16  1.0000000E-10  0.0000000E+00  6.0311259E-01
  0.0000000E+00  1.0000203E-10  3.6210080E-01  5.9567076E+00  8.9427913E+01  8.9429868E+01  4.1320066E+02  8.9429843E+01  8.9427938E+01  5.9567072E+00  3.6210080E-01  1.0000000E-10  0.0000000E+00  6.1829805E-01
  0.0000000E+00  2.0000000E-10  2.7453683E+00  8.2101585E+00  8.8730688E+01  8.8744829E+01  4.9967608E+02  8.8744805E+01  8.8730717E+01  8.2101582E+00  2.7453683E+00  4.0000000E-10  0.0000000E+00  7.0589512E-01
  0.0000000E+00  2.0000000E-10  5.2412578E+00  1.0600118E+01  8.8717637E+01  8.8743285E+01  5.8938654E+02  8.8743260E+01  8.8717667E+01  1.0600118E+01  5.2412578E+00  3.0000000E-10  0.0000000E+00  7.9360871E-01
  0.0000000E+00  3.0000000E-10  7.8568081E+00  1.3118086E+01  8.9155648E+01  8.9192316E+01  6.8419932E+02  8.9192293E+01  8.9155683E+01  1.3118086E+01  7.8568081E+00  1.0000000E-10  0.0000000E+00  8.8143933E-01
  0.0000000E+00  4.0000000E-10  1.0603947E+01  1.5778408E+01  8.9902607E+01  8.9950018E+01  7.8554480E+02  8.9949995E+01  8.9902645E+01  1.5778408E+01  1.0603947E+01  3.0000000E-10  0.0000000E+00  9.6938742E-01
  0.0000000E+00  4.0000000E-10  1.3496190E+01  1.8598451E+01  9.0923728E+01  9.0981507E+01  8.9492600E+02  9.0981485E+01  9.0923769E+01  1.8598451E+01  1.3496190E+01  3.0000000E-10  0.0000000E+00  1.0575149E+00
  0.0000000E+00  4.0000000E-10  1.6546907E+01  2.1587196E+01  9.2225124E+01  9.2292927E+01  1.0131254E+03  9.2292908E+01  9.2225171E+01  2.1587196E+01  1.6546907E+01  2.0000326E-10  0.0000000E+00  1.1457647E+00
  0.0000000E+00  2.4931459E+00  1.9774526E+01  2.4757546E+01  9.3813170E+01  9.3890582E+01  1.1368108E+03  9.3890566E+01  9.3813222E+01  2.4757546E+01  1.9774526E+01  2.4931459E+00  0.0000000E+00  1.2340950E+00
  0.0000000E+00  6.1483916E+00  2.3192134E+01  2.8117881E+01  9.5697221E+01  9.5784166E+01  1.2687536E+03  9.5784150E+01  9.5697276E+01  2.8117881E+01  2.3192134E+01  6.1483916E+00  0.0000000E+00  1.3225406E+00
  0.0000000E+00  9.9870784E+00  2.6807619E+01  3.1679765E+01  9.7860601E+01  9.7956707E+01  1.4107405E+03  9.7956690E+01  9.7860660E+01  3.1679765E+01  2.6807619E+01  9.9870784E+00  0.0000000E+00  1.4111197E+00
  0.0000000E+00  1.4021158E+01  3.0631426E+01  3.5453245E+01  1.0030721E+02  1.0041231E+02  1.5629532E+03  1.0041230E+02  1.0030727E+02  3.5453244E+01  3.0631426E+01  1.4021158E+01  0.0000000E+00  1.4998329E+00
  0.0000000E+00  1.8260758E+01  3.4672391E+01  3.9446818E+01  1.0304729E+02  1.0316023E+02  1.7254840E+03  1.0316022E+02  1.0304735E+02  3.9446818E+01  3.4672391E+01  1.8260758E+01  0.0000000E+00  1.5886808E+00
  0.0000000E+00  2.2714333E+01  3.8937859E+01  4.3667539E+01  1.0613323E+02  1.0625398E+02  1.8983537E+03  1.0625398E+02  1.0613332E+02  4.3667539E+01  3.8937859E+01  2.2714333E+01  0.0000000E+00  1.6776640E+00
  0.0000000E+00  2.7388824E+01  4.3433807E+01  4.8121135E+01  1.0954338E+02  1.0967222E+02  2.0815254E+03  1.0967223E+02  1.0954347E+02  4.8121134E+01  4.3433807E+01  2.7388824E+01  0.0000000E+00  1.7667832E+00
  0.0000000E+00  3.2289817E+01  4.8164979E+01  5.2812133E+01  1.1324996E+02  1.1338673E+02  2.2749167E+03  1.1338674E+02  1.1325006E+02  5.2812132E+01  4.8164979E+01  3.2289817E+01  0.0000000E+00  1.8560390E+00
  0.0000000E+00  3.7421693E+01  5.3135018E+01  5.7743985E+01  1.1725012E+02  1.1739493E+02  2.4784086E+03  1.1739494E+02  1.1725022E+02  5.7743985E+01  5.3135018E+01  3.7421693E+01  0.0000000E+00  1.9454319E+00
  0.0000000E+00  4.2787764E+01  5.8346587E+01  6.2919189E+01  1.2152758E+02  1.2168029E+02  2.6918535E+03  1.2168029E+02  1.2152768E+02  6.2919189E+01  5.8346587E+01  4.2787764E+01  0.0000000E+00  2.0349627E+00
  0.0000000E+00  4.8390405E+01  6.3801483E+01  6.8339395E+01  1.2608080E+02  1.2624128E+02  2.9150817E+03  1.2624128E+02  1.2608090E+02  6.8339394E+01  6.3801483E+01  4.8390405E+01  0.0000000E+00  2.1246320E+00
  0.0000000E+00  5.4231166E+01  6.9500743E+01  7.4005507E+01  1.3094426E+02  1.3111150E+02  3.1479063E+03  1.3111151E+02  1.3094436E+02  7.4005506E+01  6.9500743E+01  5.4231166E+01  0.0000000E+00  2.2144402E+00
  0.0000000E+00  6.0310872E+01  7.5444736E+01  7.9917778E+01  1.3609243E+02  1.3626715E+02  3.3901274E+03  1.3626716E+02  1.3609254E+02  7.9917777E+01  7.5444736E+01  6.0310872E+01  0.0000000E+00  2.3043883E+00
  0.0000000E+00  6.6629725E+01  8.1633248E+01  8.6075893E+01  1.4151243E+02  1.4169452E+02  3.6415361E+03  1.4169453E+02  1.4151254E+02  8.6075893E+01  8.1633248E+01  6.6629725E+01  0.0000000E+00  2.3944767E+00
  0.0000000E+00  7.3187376E+01  8.8065564E+01  9.2479040E+01  1.4721420E+02  1.4740396E+02  3.9019166E+03  1.4740397E+02  1.4721432E+02  9.2479040E+01  8.8065564E+01  7.3187376E+01  0.0000000E+00  2.4847062E+00
  0.0000000E+00  7.9982999E+01  9.4740522E+01  9.9125976E+01  1.5323308E+02  1.5342998E+02  4.1710492E+03  1.5342999E+02  1.5323321E+02  9.9125975E+01  9.4740522E+01  7.9982999E+01  0.0000000E+00  2.5750774E+00
  0.0000000E+00  8.7015361E+01  1.0165659E+02  1.0601509E+02  1.5951786E+02  1.5972177E+02  4.4487116E+03  1.5972179E+02  1.5951798E+02  1.0601509E+02  1.0165659E+02  8.7015361E+01  0.0000000E+00  2.6655909E+00
  0.0000000E+00  9.4282874E+01  1.0881189E+02  1.1314444E+02  1.6606505E+02  1.6627590E+02  4.7346810E+03  1.6627591E+02  1.6606517E+02  1.1314444E+02  1.0881189E+02  9.4282874E+01  0.0000000E+00  2.7562475E+00
  0.0000000E+00  1.0178364E+02  1.1620430E+02  1.2051183E+02  1.7287106E+02  1.7308875E+02  5.0287349E+03  1.7308877E+02  1.7287119E+02  1.2051183E+02  1.1620430E+02  1.0178364E+02  0.0000000E+00  2.8470478E+00
  4.4295847E+00  1.0951563E+02  1.2383151E+02  1.2811508E+02  1.7993227E+02  1.8015671E+02  5.3243580E+03  1.8015673E+02  1.7993240E+02  1.2811508E+02  1.2383151E+02  1.0951563E+02  4.4295847E+00  2.9376824E+00
  1.3060213E+01  1.1747614E+02  1.3169047E+02  1.3595100E+02  1.8724348E+02  1.8747460E+02  5.6221371E+03  1.8747461E+02  1.8724362E+02  1.3595100E+02  1.3169047E+02  1.1747614E+02  1.3060213E+01  3.0282236E+00
  2.1897860E+01  1.2566374E+02  1.3977951E+02  1.4401776E+02  1.9480177E+02  1.9503948E+02  5.9277047E+03  1.9503950E+02  1.9480191E+02  1.4401776E+02  1.3977951E+02  1.2566374E+02  2.1897860E+01  3.1189693E+00
  3.0942330E+01  1.3407718E+02  1.4809726E+02  1.5231392E+02  2.0260486E+02  2.0284908E+02  6.2408733E+03  2.0284910E+02  2.0260500E+02  1.5231392E+02  1.4809726E+02  1.3407718E+02  3.0942330E+01  3.2099209E+00
  4.0193123E+01  1.4271501E+02  1.5664210E+02  1.6083784E+02  2.1065029E+02  2.1090096E+02  6.5614566E+03  2.1090098E+02  2.1065044E+02  1.6083784E+02  1.5664210E+02  1.4271501E+02  4.0193123E+01  3.3010797E+00
  4.9649472E+01  1.5157556E+02  1.6541223E+02  1.6958768E+02  2.1893552E+02  2.1919256E+02  6.8892707E+03  2.1919258E+02  2.1893566E+02  1.6958768E+02  1.6541223E+02  1.5157556E+02  4.9649472E+01  3.3924468E+00
  5.9310372E+01  1.6065699E+02  1.7440569E+02  1.7856146E+02  2.2745786E+02  2.2772120E+02  7.2241341E+03  2.2772122E+02  2.2745801E+02  1.7856146E+02  1.7440569E+02  1.6065699E+02  5.9310372E+01  3.4840238E+00
  6.9174611E+01  1.6995731E+02  1.8362039E+02  1.8775704E+02  2.3621454E+02  2.3648413E+02  7.5658678E+03  2.3648415E+02  2.3621469E+02  1.8775704E+02  1.8362039E+02  1.6995731E+02  6.9174611E+01  3.5758119E+00
  7.9240795E+01  1.7947440E+02  1.9305408E+02  1.9717217E+02  2.4520273E+02  2.4547849E+02  7.9142963E+03  2.4547851E+02  2.4520288E+02  1.9717217E+02  1.9305408E+02  1.7947440E+02  7.9240795E+01  3.6678126E+00
  8.9507367E+01  1.8920603E+02  2.0270445E+02  2.0680450E+02  2.5441950E+02  2.5470137E+02  8.2692466E+03  2.5470140E+02  2.5441965E+02  2.0680450E+02  2.0270445E+02  1.8920603E+02  8.9507367E+01  3.7600271E+00
  9.9972632E+01  1.9914988E+02  2.1256907E+02  2.1665157E+02  2.6386189E+02  2.6414982E+02  8.6305495E+03  2.6414985E+02  2.6386205E+02  2.1665157E+02  2.1256907E+02  1.9914988E+02  9.9972632E+01  3.8524569E+00
  1.1063477E+02  2.0930353E+02  2.2264543E+02  2.2671088E+02  2.7352690E+02  2.7382083E+02  8.9980388E+03  2.7382086E+02  2.7352706E+02  2.2671088E+02  2.2264543E+02  2.0930353E+02  1.1063477E+02  3.9451032E+00
  1.2149186E+02  2.1966450E+02  2.3293098E+02  2.3697983E+02  2.8341148E+02  2.8371136E+02  9.3715520E+03  2.8371139E+02  2.8341165E+02  2.3697983E+02  2.3293098E+02  2.1966450E+02  1.2149186E+02  4.0379677E+00
  1.3254189E+02  2.3023026E+02  2.4342310E+02  2.4745579E+02  2.9351259E+02  2.9381836E+02  9.7509300E+03  2.9381839E+02  2.9351276E+02  2.4745579E+02  2.4342310E+02  2.3023026E+02  1.3254189E+02  4.1310517E+00
  1.4378276E+02  2.4099822E+02  2.5411914E+02  2.5813609E+02  3.0382715E+02  3.0413875E+02  1.0136017E+04  3.0413878E+02  3.0382732E+02  2.5813609E+02  2.5411914E+02  2.4099822E+02  1.4378276E+02  4.2243565E+00
  1.5521232E+02  2.5196577E+02  2.6501641E+02  2.6901803E+02  3.1435206E+02  3.1466944E+02  1.0526662E+04  3.1466947E+02  3.1435223E+02  2.6901803E+02  2.6501641E+02  2.5196577E+02  1.5521232E+02  4.3178836E+00
  1.6682835E+02  2.6313025E+02  2.7611219E+02  2.8009887E+02  3.2508424E+02  3.2540736E+02  1.0922715E+04  3.2540740E+02  3.2508442E+02  2.8009887E+02  2.7611219E+02  2.6313025E+02  1.6682835E+02  4.4116347E+00
  1.7862860E+02  2.7448899E+02  2.8740376E+02  2.9137586E+02  3.3602062E+02  3.3634943E+02  1.1324033E+04  3.3634946E+02  3.3602080E+02  2.9137586E+02  2.8740376E+02  2.7448899E+02  1.7862860E+02  4.5056111E+00
  1.9061075E+02  2.8603931E+02  2.9888836E+02  3.0284626E+02  3.4715812E+02  3.4749256E+02  1.1730472E+04  3.4749259E+02  3.4715830E+02  3.0284626E+02  2.9888836E+02  2.8603931E+02  1.9061075E+02  4.5998142E+00
  2.0277249E+02  2.9777851E+02  3.1056324E+02  3.1450729E+02  3.5849367E+02  3.5883370E+02  1.2141896E+04  3.5883374E+02  3.5849385E+02  3.1450729E+02  3.1056324E+02  2.9777851E+02  2.0277249E+02  4.6942457E+00
  2.1511147E+02  3.0970390E+02  3.2242567E+02  3.2635620E+02  3.7002423E+02  3.7036981E+02  1.2558170E+04  3.7036985E+02  3.7002442E+02  3.2635620E+02  3.2242567E+02  3.0970390E+02  2.1511147E+02  4.7889071E+00
  2.2762531E+02  3.2181278E+02  3.3447289E+02  3.3839022E+02  3.8174678E+02  3.8209786E+02  1.2979163E+04  3.8209790E+02  3.8174697E+02  3.3839022E+02  3.3447289E+02  3.2181278E+02  2.2762531E+02  4.8837999E+00
  0.0000000E+00  2.0000012E-10  7.2009924E-16  4.5517105E+00  7.6152373E+01  7.6131432E+01  2.5755650E+02  7.6131411E+01  7.6152402E+01  4.5517100E+00  1.0000012E-10  1.0000013E-10  0.0000000E+00  5.1504732E-01
  0.0000000E+00  8.1064767E-16  2.1998986E-16  4.5108425E+00  7.3273023E+01  7.3263767E+01  3.1048033E+02  7.3263743E+01  7.3273056E+01  4.5108421E+00  1.0000000E-10  1.0000000E-10  0.0000000E+00  5.1594989E-01
  0.0000000E+00  1.0000000E-10  3.1421088E-01  5.1196743E+00  7.1327725E+01  7.1329395E+01  3.6762111E+02  7.1329373E+01  7.1327762E+01  5.1196738E+00  3.1421088E-01  2.0000000E-10  0.0000000E+00  5.2801101E-01
  0.0000000E+00  2.0000000E-10  2.3603423E+00  7.0571507E+00  7.0714786E+01  7.0726811E+01  4.3616582E+02  7.0726789E+01  7.0714828E+01  7.0571503E+00  2.3603423E+00  1.0000000E-10  0.0000000E+00  5.9462029E-01
  0.0000000E+00  2.0000000E-10  4.4755329E+00  9.0835866E+00  7.0744444E+01  7.0766265E+01  5.0807577E+02  7.0766240E+01  7.0744487E+01  9.0835862E+00  4.4755329E+00  1.0000000E-10  0.0000000E+00  6.6131818E-01
  0.0000000E+00  2.0000000E-10  6.6757995E+00  1.1204156E+01  7.1095316E+01  7.1126466E+01  5.8501771E+02  7.1126443E+01  7.1095365E+01  1.1204156E+01  6.6757995E+00  1.0000000E-10  0.0000000E+00  7.2810504E-01
  0.0000000E+00  4.0000000E-10  8.9785135E+00  1.3439486E+01  7.1690923E+01  7.1731126E+01  6.6828431E+02  7.1731103E+01  7.1690973E+01  1.3439486E+01  8.9785135E+00  4.0000000E-10  0.0000000E+00  7.9498124E-01
  0.0000000E+00  4.0000000E-10  1.1400336E+01  1.5806541E+01  7.2526912E+01  7.2575784E+01  7.5933949E+02  7.2575763E+01  7.2526969E+01  1.5806541E+01  1.1400336E+01  2.0000000E-10  0.0000000E+00  8.6194720E-01
  0.0000000E+00  2.0000040E-10  1.3959967E+01  1.8315837E+01  7.3598899E+01  7.3656178E+01  8.5826940E+02  7.3656160E+01  7.3598962E+01  1.8315836E+01  1.3959967E+01  2.0000000E-10  0.0000000E+00  9.2900327E-01
  0.0000000E+00  2.1003325E+00  1.6673405E+01  2.0979033E+01  7.4927562E+01  7.4992877E+01  9.6246405E+02  7.4992862E+01  7.4927630E+01  2.0979033E+01  1.6673405E+01  2.1003325E+00  0.0000000E+00  9.9611847E-01
  0.0000000E+00  5.1836701E+00  1.9548568E+01  2.3807309E+01  7.6501721E+01  7.6574858E+01  1.0742127E+03  7.6574843E+01  7.6501794E+01  2.3807308E+01  1.9548568E+01  5.1836701E+00  0.0000000E+00  1.0633205E+00
  0.0000000E+00  8.4273743E+00  2.2596854E+01  2.6811665E+01  7.8328051E+01  7.8408840E+01  1.1949672E+03  7.8408824E+01  7.8328128E+01  2.6811664E+01  2.2596854E+01  8.4273743E+00  0.0000000E+00  1.1306240E+00
  0.0000000E+00  1.1842356E+01  2.5827844E+01  3.0001362E+01  8.0425519E+01  8.0513225E+01  1.3248201E+03  8.0513211E+01  8.0425601E+01  3.0001362E+01  2.5827844E+01  1.1842356E+01  0.0000000E+00  1.1980295E+00
  0.0000000E+00  1.5437632E+01  2.9249412E+01  3.3384007E+01  8.2805039E+01  8.2899277E+01  1.4637895E+03  8.2899284E+01  8.2805145E+01  3.3384007E+01  2.9249412E+01  1.5437632E+01  0.0000000E+00  1.2655646E+00
  0.0000000E+00  1.9220537E+01  3.2867910E+01  3.6965719E+01  8.5453906E+01  8.5554958E+01  1.6118354E+03  8.5554965E+01  8.5454015E+01  3.6965719E+01  3.2867910E+01  1.9220537E+01  0.0000000E+00  1.3332033E+00
  0.0000000E+00  2.3196922E+01  3.6688338E+01  4.0751298E+01  8.8369867E+01  8.8477581E+01  1.7688721E+03  8.8477590E+01  8.8369982E+01  4.0751298E+01  3.6688338E+01  2.3196922E+01  0.0000000E+00  1.4009454E+00
  0.0000000E+00  2.7371342E+01  4.0714507E+01  4.4744381E+01  9.1546827E+01  9.1661261E+01  1.9347787E+03  9.1661271E+01  9.1546946E+01  4.4744380E+01  4.0714507E+01  2.7371342E+01  0.0000000E+00  1.4687915E+00
  0.0000000E+00  3.1747222E+01  4.4949188E+01  4.8947585E+01  9.4966138E+01  9.5087157E+01  2.1094067E+03  9.5087168E+01  9.4966262E+01  4.8947585E+01  4.4949188E+01  3.1747222E+01  0.0000000E+00  1.5367419E+00
  0.0000000E+00  3.6327000E+01  4.9394245E+01  5.3362642E+01  9.8626409E+01  9.8753884E+01  2.2925871E+03  9.8753896E+01  9.8626536E+01  5.3362641E+01  4.9394245E+01  3.6327000E+01  0.0000000E+00  1.6047972E+00
  0.0000000E+00  4.1112266E+01  5.4050755E+01  5.7990510E+01  1.0255627E+02  1.0268938E+02  2.4841356E+03  1.0268939E+02  1.0255640E+02  5.7990509E+01  5.4050755E+01  4.1112266E+01  0.0000000E+00  1.6729580E+00
  0.0000000E+00  4.6103873E+01  5.8919117E+01  6.2831483E+01  1.0673427E+02  1.0687357E+02  2.6838565E+03  1.0687358E+02  1.0673441E+02  6.2831482E+01  5.8919117E+01  4.6103873E+01  0.0000000E+00  1.7412245E+00
  0.0000000E+00  5.1302034E+01  6.3999142E+01  6.7885277E+01  1.1114924E+02  1.1129462E+02  2.8915464E+03  1.1129463E+02  1.1114938E+02  6.7885277E+01  6.3999142E+01  5.1302034E+01  0.0000000E+00  1.8095975E+00
  0.0000000E+00  5.6706423E+01  6.9290135E+01  7.3151117E+01  1.1579848E+02  1.1594984E+02  3.1069968E+03  1.1594985E+02  1.1579863E+02  7.3151116E+01  6.9290135E+01  5.6706423E+01  0.0000000E+00  1.8780773E+00
  0.0000000E+00  6.2316243E+01  7.4790974E+01  7.8627802E+01  1.2067907E+02  1.2083630E+02  3.3299966E+03  1.2083632E+02  1.2067922E+02  7.8627801E+01  7.4790974E+01  6.2316243E+01  0.0000000E+00  1.9466645E+00
  0.0000000E+00  6.8130296E+01  8.0500163E+01  8.4313771E+01  1.2578790E+02  1.2595092E+02  3.5603335E+03  1.2595094E+02  1.2578805E+02  8.4313770E+01  8.0500163E+01  6.8130296E+01  0.0000000E+00  2.0153596E+00
  0.0000000E+00  7.4147044E+01  8.6415897E+01  9.0207156E+01  1.3112567E+02  1.3129339E+02  3.7977956E+03  1.3129342E+02  1.3112582E+02  9.0207155E+01  8.6415897E+01  7.4147044E+01  0.0000000E+00  2.0841632E+00
  0.0000000E+00  8.0364660E+01  9.2536105E+01  9.6305831E+01  1.3674630E+02  1.3691958E+02  4.0421728E+03  1.3691960E+02  1.3674646E+02  9.6305830E+01  9.2536105E+01  8.0364660E+01  0.0000000E+00  2.1530756E+00
  0.0000000E+00  8.6781072E+01  9.8858492E+01  1.0260745E+02  1.4258739E+02  1.4276613E+02  4.2932571E+03  1.4276615E+02  1.4258756E+02  1.0260745E+02  9.8858492E+01  8.6781072E+01  0.0000000E+00  2.2220975E+00
  3.7858896E+00  9.3394104E+01  1.0538067E+02  1.0910971E+02  1.4864541E+02  1.4882953E+02  4.5454700E+03  1.4882956E+02  1.4864557E+02  1.0910971E+02  1.0538067E+02  9.3394104E+01  3.7858896E+00  2.2909874E+00
  1.1161299E+01  1.0020104E+02  1.1209958E+02  1.1580947E+02  1.5491552E+02  1.5510495E+02  4.7992970E+03  1.5510498E+02  1.5491569E+02  1.1580947E+02  1.1209958E+02  1.0020104E+02  1.1161299E+01  2.3598008E+00
  1.8711931E+01  1.0720024E+02  1.1901341E+02  1.2270474E+02  1.6139482E+02  1.6158950E+02  5.0595329E+03  1.6158953E+02  1.6139499E+02  1.2270474E+02  1.1901341E+02  1.0720024E+02  1.8711931E+01  2.4287701E+00
  2.6437218E+01  1.1439026E+02  1.2612055E+02  1.2979391E+02  1.6808096E+02  1.6828082E+02  5.3260049E+03  1.6828085E+02  1.6808114E+02  1.2979391E+02  1.2612055E+02  1.1439026E+02  2.6437218E+01  2.4978963E+00
  3.4336349E+01  1.2176945E+02  1.3341926E+02  1.3707519E+02  1.7497148E+02  1.7517645E+02  5.5985428E+03  1.7517648E+02  1.7497166E+02  1.3707519E+02  1.3341926E+02  1.2176945E+02  3.4336349E+01  2.5671804E+00
  4.2408302E+01  1.2933603E+02  1.4090764E+02  1.4454665E+02  1.8206382E+02  1.8227384E+02  5.8769795E+03  1.8227387E+02  1.8206400E+02  1.4454664E+02  1.4090764E+02  1.2933603E+02  4.2408302E+01  2.6366235E+00
  5.0651868E+01  1.3708810E+02  1.4858364E+02  1.5220623E+02  1.8935534E+02  1.8957035E+02  6.1611507E+03  1.8957038E+02  1.8935553E+02  1.5220623E+02  1.4858364E+02  1.3708810E+02  5.0651868E+01  2.7062266E+00
  5.9065677E+01  1.4502361E+02  1.5644516E+02  1.6005179E+02  1.9684336E+02  1.9706330E+02  6.4508957E+03  1.9706333E+02  1.9684355E+02  1.6005179E+02  1.5644516E+02  1.4502361E+02  5.9065677E+01  2.7759906E+00
  6.7648221E+01  1.5314044E+02  1.6448996E+02  1.6808108E+02  2.0452512E+02  2.0474993E+02  6.7460571E+03  2.0474997E+02  2.0452532E+02  1.6808108E+02  1.6448996E+02  1.5314044E+02  6.7648221E+01  2.8459168E+00
  7.6397868E+01  1.6143640E+02  1.7271575E+02  1.7629180E+02  2.1239784E+02  2.1262747E+02  7.0464811E+03  2.1262751E+02  2.1239804E+02  1.7629179E+02  1.7271575E+02  1.6143640E+02  7.6397868E+01  2.9160060E+00
  8.5312883E+01  1.6990920E+02  1.8112017E+02  1.8468155E+02  2.2045870E+02  2.2069310E+02  7.3520173E+03  2.2069314E+02  2.2045890E+02  1.8468155E+02  1.8112017E+02  1.6990920E+02  8.5312883E+01  2.9862594E+00
  9.4391443E+01  1.7855652E+02  1.8970082E+02  1.9324793E+02  2.2870487E+02  2.2894399E+02  7.6625191E+03  2.2894403E+02  2.2870508E+02  1.9324793E+02  1.8970082E+02  1.7855652E+02  9.4391443E+01  3.0566781E+00
  1.0363165E+02  1.8737598E+02  1.9845526E+02  2.0198847E+02  2.3713350E+02  2.3737728E+02  7.9778433E+03  2.3737733E+02  2.3713371E+02  2.0198847E+02  1.9845526E+02  1.8737598E+02  1.0363165E+02  3.1272633E+00
  1.1303153E+02  1.9636519E+02  2.0738101E+02  2.1090068E+02  2.4574174E+02  2.4599014E+02  8.2978504E+03  2.4599018E+02  2.4574195E+02  2.1090068E+02  2.0738101E+02  1.9636519E+02  1.1303153E+02  3.1980159E+00
  1.2258908E+02  2.0552170E+02  2.1647557E+02  2.1998205E+02  2.5452673E+02  2.5477970E+02  8.6224044E+03  2.5477974E+02  2.5452694E+02  2.1998205E+02  2.1647557E+02  2.0552170E+02  1.2258908E+02  3.2689379E+00
  1.3230224E+02  2.1484307E+02  2.2573643E+02  2.2923005E+02  2.6348562E+02  2.6374312E+02  8.9513730E+03  2.6374317E+02  2.6348584E+02  2.2923005E+02  2.2573643E+02  2.1484307E+02  1.3230224E+02  3.3400297E+00
  1.4216891E+02  2.2432684E+02  2.3516106E+02  2.3864215E+02  2.7261559E+02  2.7287757E+02  9.2846271E+03  2.7287762E+02  2.7261582E+02  2.3864215E+02  2.3516106E+02  2.2432684E+02  1.4216891E+02  3.4112925E+00
  1.5218697E+02  2.3397052E+02  2.4474695E+02  2.4821581E+02  2.8191381E+02  2.8218023E+02  9.6220413E+03  2.8218028E+02  2.8191404E+02  2.4821581E+02  2.4474695E+02  2.3397052E+02  1.5218697E+02  3.4827272E+00
  1.6235427E+02  2.4377165E+02  2.5449156E+02  2.5794850E+02  2.9137748E+02  2.9164830E+02  9.9634935E+03  2.9164835E+02  2.9137771E+02  2.5794850E+02  2.5449156E+02  2.4377165E+02  1.6235427E+02  3.5543353E+00
  1.7266867E+02  2.5372777E+02  2.6439239E+02  2.6783769E+02  3.0100382E+02  3.0127900E+02  1.0308865E+04  3.0127905E+02  3.0100406E+02  2.6783769E+02  2.6439239E+02  2.5372777E+02  1.7266867E+02  3.6261178E+00
  1.8312799E+02  2.6383641E+02  2.7444693E+02  2.7788086E+02  3.1079008E+02  3.1106957E+02  1.0658040E+04  3.1106962E+02  3.1079032E+02  2.7788086E+02  2.7444693E+02  2.6383641E+02  1.8312799E+02  3.6980759E+00
  1.9373006E+02  2.7409512E+02  2.8465269E+02  2.8807551E+02  3.2073352E+02  3.2101729E+02  1.1010907E+04  3.2101734E+02  3.2073376E+02  2.8807551E+02  2.8465269E+02  2.7409512E+02  1.9373006E+02  3.7702107E+00
  0.0000000E+00  1.0000011E-10  1.0000000E-10  3.8955035E+00  5.9672982E+01  5.9655285E+01  2.4360471E+02  5.9655255E+01  5.9673013E+01  3.8955030E+00  1.0000000E-10  2.0000010E-10  0.0000000E+00  4.4007649E-01
  0.0000000E+00  1.0000000E-10  1.0000168E-10  3.8926016E+00  5.7269135E+01  5.7261307E+01  2.8455027E+02  5.7261276E+01  5.7269173E+01  3.8926012E+00  1.0000000E-10  1.0000014E-10  0.0000000E+00  4.4125832E-01
  0.0000000E+00  1.0000000E-10  2.6911105E-01  4.4413478E+00  5.5632249E+01  5.5633651E+01  3.2885808E+02  5.5633621E+01  5.5632294E+01  4.4413473E+00  2.6911105E-01  1.0000000E-10  0.0000000E+00  4.5090558E-01
  0.0000000E+00  2.0000236E-10  2.0033539E+00  6.0836834E+00  5.5148891E+01  5.5158918E+01  3.8169553E+02  5.5158889E+01  5.5148941E+01  6.0836830E+00  2.0033539E+00  2.0000000E-10  0.0000000E+00  5.0123614E-01
  0.0000000E+00  1.0000000E-10  3.7746393E+00  7.7798263E+00  5.5178583E+01  5.5196726E+01  4.3822994E+02  5.5196697E+01  5.5178635E+01  7.7798259E+00  3.7746393E+00  1.0000000E-10  0.0000000E+00  5.5164174E-01
  0.0000000E+00  3.0000000E-10  5.6063789E+00  9.5470966E+00  5.5466798E+01  5.5492717E+01  4.9990770E+02  5.5492691E+01  5.5466857E+01  9.5470963E+00  5.6063789E+00  3.0000000E-10  0.0000000E+00  6.0211477E-01
  0.0000000E+00  2.0000168E-10  7.5200305E+00  1.1410056E+01  5.5957791E+01  5.5991115E+01  5.6808490E+02  5.5991090E+01  5.5957858E+01  1.1410056E+01  7.5200305E+00  3.0000000E-10  0.0000000E+00  6.5265552E-01
  0.0000000E+00  2.0000000E-10  9.5360471E+00  1.3380606E+01  5.6653197E+01  5.6693664E+01  6.4341003E+02  5.6693644E+01  5.6653271E+01  1.3380605E+01  9.5360471E+00  3.0000000E-10  0.0000000E+00  7.0326434E-01
  0.0000000E+00  3.0000000E-10  1.1674493E+01  1.5473887E+01  5.7550344E+01  5.7597629E+01  7.2611911E+02  5.7597610E+01  5.7550422E+01  1.5473886E+01  1.1674493E+01  3.0000000E-10  0.0000000E+00  7.5394148E-01
  0.0000000E+00  1.7643405E+00  1.3944775E+01  1.7702301E+01  5.8671526E+01  5.8725386E+01  8.1392486E+02  5.8725372E+01  5.8671613E+01  1.7702300E+01  1.3944775E+01  1.7643405E+00  0.0000000E+00  8.0466169E-01
  0.0000000E+00  4.3600563E+00  1.6358169E+01  2.0076577E+01  6.0026081E+01  6.0086120E+01  9.0868777E+02  6.0086105E+01  6.0026174E+01  2.0076576E+01  1.6358169E+01  4.3600563E+00  0.0000000E+00  8.5544700E-01
  0.0000000E+00  7.0978602E+00  1.8925073E+01  2.2606792E+01  6.1600922E+01  6.1666889E+01  1.0115615E+03  6.1666876E+01  6.1601022E+01  2.2606791E+01  1.8925073E+01  7.0978602E+00  0.0000000E+00  9.0630932E-01
  0.0000000E+00  9.9874240E+00  2.1653956E+01  2.5301155E+01  6.3421639E+01  6.3493466E+01  1.1225535E+03  6.3493475E+01  6.3421766E+01  2.5301155E+01  2.1653956E+01  9.9874240E+00  0.0000000E+00  9.5724899E-01
  0.0000000E+00  1.3036518E+01  2.4551561E+01  2.8166190E+01  6.5476710E+01  6.5553896E+01  1.2416129E+03  6.5553909E+01  6.5476845E+01  2.8166190E+01  2.4551561E+01  1.3036518E+01  0.0000000E+00  1.0082664E+00
  0.0000000E+00  1.6251272E+01  2.7623130E+01  3.1206951E+01  6.7759657E+01  6.7842266E+01  1.3686446E+03  6.7842280E+01  6.7759796E+01  3.1206950E+01  2.7623130E+01  1.6251272E+01  0.0000000E+00  1.0593619E+00
  0.0000000E+00  1.9636406E+01  3.0872615E+01  3.4427224E+01  7.0278744E+01  7.0366651E+01  1.5035199E+03  7.0366668E+01  7.0278890E+01  3.4427224E+01  3.0872615E+01  1.9636406E+01  0.0000000E+00  1.1105359E+00
  0.0000000E+00  2.3195429E+01  3.4302856E+01  3.7829708E+01  7.3010783E+01  7.3104028E+01  1.6460849E+03  7.3104046E+01  7.3010934E+01  3.7829708E+01  3.4302856E+01  2.3195429E+01  0.0000000E+00  1.1617887E+00
  0.0000000E+00  2.6930817E+01  3.7915742E+01  4.1416166E+01  7.5953779E+01  7.6052240E+01  1.7961672E+03  7.6052259E+01  7.5953935E+01  4.1416166E+01  3.7915742E+01  2.6930817E+01  0.0000000E+00  1.2131208E+00
  0.0000000E+00  3.0844163E+01  4.1712344E+01  4.5187562E+01  7.9134288E+01  7.9237294E+01  1.9535812E+03  7.9237314E+01  7.9134451E+01  4.5187562E+01  4.1712344E+01  3.0844163E+01  0.0000000E+00  1.2645325E+00
  0.0000000E+00  3.4936307E+01  4.5693046E+01  4.9144181E+01  8.2528517E+01  8.2636486E+01  2.1181323E+03  8.2636507E+01  8.2528684E+01  4.9144180E+01  4.5693046E+01  3.4936307E+01  0.0000000E+00  1.3160242E+00
  0.0000000E+00  3.9207448E+01  4.9857638E+01  5.3285728E+01  8.6129656E+01  8.6242486E+01  2.2896199E+03  8.6242510E+01  8.6129829E+01  5.3285727E+01  4.9857638E+01  3.9207448E+01  0.0000000E+00  1.3675963E+00
  0.0000000E+00  4.3657243E+01  5.4205412E+01  5.7611417E+01  8.9935094E+01  9.0052691E+01  2.4678405E+03  9.0052716E+01  8.9935271E+01  5.7611416E+01  5.4205412E+01  4.3657243E+01  0.0000000E+00  1.4192492E+00
  0.0000000E+00  4.8284888E+01  5.8735238E+01  6.2120049E+01  9.3942004E+01  9.4064275E+01  2.6525893E+03  9.4064302E+01  9.3942186E+01  6.2120049E+01  5.8735238E+01  4.8284888E+01  0.0000000E+00  1.4709833E+00
  0.0000000E+00  5.3089192E+01  6.3445631E+01  6.6810079E+01  9.8147382E+01  9.8274243E+01  2.8436619E+03  9.8274271E+01  9.8147569E+01  6.6810079E+01  6.3445631E+01  5.3089192E+01  0.0000000E+00  1.5227990E+00
  0.0000000E+00  5.8068639E+01  6.8334808E+01  7.1679667E+01  1.0254809E+02  1.0267945E+02  3.0408557E+03  1.0267948E+02  1.0254828E+02  7.1679666E+01  6.8334808E+01  5.8068639E+01  0.0000000E+00  1.5746967E+00
  0.0000000E+00  6.3221437E+01  7.3400738E+01  7.6726733E+01  1.0714086E+02  1.0727666E+02  3.2439708E+03  1.0727669E+02  1.0714106E+02  7.6726732E+01  7.3400738E+01  6.3221437E+01  0.0000000E+00  1.6266767E+00
  0.0000000E+00  6.8545570E+01  7.8641186E+01  8.1948995E+01  1.1194741E+02  1.1208569E+02  3.4528108E+03  1.1208573E+02  1.1194761E+02  8.1948994E+01  7.8641186E+01  6.8545570E+01  0.0000000E+00  1.6787395E+00
  0.0000000E+00  7.4038835E+01  8.4053750E+01  8.7344009E+01  1.1697573E+02  1.1711821E+02  3.6671831E+03  1.1711824E+02  1.1697593E+02  8.7344008E+01  8.4053750E+01  7.4038835E+01  0.0000000E+00  1.7308856E+00
  3.2375426E+00  7.9698965E+01  8.9635971E+01  9.2909382E+01  1.2218779E+02  1.2233439E+02  3.8823096E+03  1.2233443E+02  1.2218800E+02  9.2909382E+01  8.9635971E+01  7.9698965E+01  3.2375426E+00  1.7829268E+00
  9.5434748E+00  8.5523254E+01  9.5384850E+01  9.8642048E+01  1.2757913E+02  1.2772980E+02  4.0985927E+03  1.2772984E+02  1.2757934E+02  9.8642047E+01  9.5384850E+01  8.5523254E+01  9.5434748E+00  1.8349056E+00
  1.5997320E+01  9.1509917E+01  1.0129844E+02  1.0453992E+02  1.3314691E+02  1.3330159E+02  4.3201164E+03  1.3330163E+02  1.3314713E+02  1.0453992E+02  1.0129844E+02  9.1509917E+01  1.5997320E+01  1.8870030E+00
  2.2598229E+01  9.7657350E+01  1.0737500E+02  1.1060126E+02  1.3888877E+02  1.3904740E+02  4.5467233E+03  1.3904744E+02  1.3888900E+02  1.1060126E+02  1.0737500E+02  9.7657350E+01  2.2598229E+01  1.9392197E+00
  2.9345163E+01  1.0396382E+02  1.1361271E+02  1.1682418E+02  1.4480228E+02  1.4496479E+02  4.7782593E+03  1.4496484E+02  1.4480251E+02  1.1682418E+02  1.1361271E+02  1.0396382E+02  2.9345163E+01  1.9915565E+00
  3.6236917E+01  1.1042747E+02  1.2000959E+02  1.2320670E+02  1.5088493E+02  1.5105127E+02  5.0145738E+03  1.5105132E+02  1.5088516E+02  1.2320670E+02  1.2000959E+02  1.1042747E+02  3.6236917E+01  2.0440143E+00
  4.3272149E+01  1.1704636E+02  1.2656360E+02  1.2974678E+02  1.5713416E+02  1.5730429E+02  5.2555197E+03  1.5730434E+02  1.5713440E+02  1.2974678E+02  1.2656360E+02  1.1704636E+02  4.3272149E+01  2.0965937E+00
  5.0449395E+01  1.2381846E+02  1.3327264E+02  1.3644226E+02  1.6354740E+02  1.6372126E+02  5.5009539E+03  1.6372131E+02  1.6354764E+02  1.3644226E+02  1.3327264E+02  1.2381846E+02  5.0449395E+01  2.1492957E+00
  5.7767087E+01  1.3074169E+02  1.4013452E+02  1.4329097E+02  1.7012203E+02  1.7029957E+02  5.7507368E+03  1.7029962E+02  1.7012228E+02  1.4329097E+02  1.4013452E+02  1.3074169E+02  5.7767087E+01  2.2021211E+00
  6.5223571E+01  1.3781390E+02  1.4714702E+02  1.5029065E+02  1.7685542E+02  1.7703659E+02  6.0047323E+03  1.7703664E+02  1.7685567E+02  1.5029065E+02  1.4714702E+02  1.3781390E+02  6.5223571E+01  2.2550706E+00
  7.2817119E+01  1.4503291E+02  1.5430788E+02  1.5743904E+02  1.8374492E+02  1.8392968E+02  6.2628085E+03  1.8392974E+02  1.8374518E+02  1.5743904E+02  1.5430788E+02  1.4503291E+02  7.2817119E+01  2.3081451E+00
  8.0545939E+01  1.5239650E+02  1.6161482E+02  1.6473384E+02  1.9078790E+02  1.9097620E+02  6.5248366E+03  1.9097626E+02  1.9078816E+02  1.6473383E+02  1.6161482E+02  1.5239650E+02  8.0545939E+01  2.3613456E+00
  8.8408193E+01  1.5990243E+02  1.6906553E+02  1.7217272E+02  1.9798171E+02  1.9817352E+02  6.7906919E+03  1.9817357E+02  1.9798197E+02  1.7217271E+02  1.6906553E+02  1.5990243E+02  8.8408193E+01  2.4146726E+00
  9.6402001E+01  1.6754843E+02  1.7665770E+02  1.7975335E+02  2.0532373E+02  2.0551899E+02  7.0602530E+03  2.0551905E+02  2.0532399E+02  1.7975335E+02  1.7665770E+02  1.6754843E+02  9.6402001E+01  2.4681274E+00
  1.0452545E+02  1.7533226E+02  1.8438899E+02  1.8747340E+02  2.1281132E+02  2.1301001E+02  7.3334021E+03  2.1301007E+02  2.1281160E+02  1.8747340E+02  1.8438899E+02  1.7533226E+02  1.0452545E+02  2.5217106E+00
  1.1277660E+02  1.8325162E+02  1.9225708E+02  1.9533054E+02  2.2044190E+02  2.2064397E+02  7.6100247E+03  2.2064403E+02  2.2044218E+02  1.9533053E+02  1.9225708E+02  1.8325162E+02  1.1277660E+02  2.5754231E+00
  1.2115350E+02  1.9130427E+02  2.0025966E+02  2.0332242E+02  2.2821289E+02  2.2841829E+02  7.8900101E+03  2.2841836E+02  2.2821317E+02  2.0332242E+02  2.0025966E+02  1.9130427E+02  1.2115350E+02  2.6292658E+00
  1.2965418E+02  1.9948792E+02  2.0839441E+02  2.1144674E+02  2.3612172E+02  2.3633043E+02  8.1732502E+03  2.3633049E+02  2.3612200E+02  2.1144674E+02  2.0839441E+02  1.9948792E+02  1.2965418E+02  2.6832398E+00
  1.3827666E+02  2.0780034E+02  2.1665903E+02  2.1970117E+02  2.4416587E+02  2.4437784E+02  8.4596408E+03  2.4437791E+02  2.4416616E+02  2.1970117E+02  2.1665903E+02  2.0780034E+02  1.3827666E+02  2.7373457E+00
  1.4701898E+02  2.1623927E+02  2.2505125E+02  2.2808344E+02  2.5234283E+02  2.5255804E+02  8.7490805E+03  2.5255811E+02  2.5234313E+02  2.2808344E+02  2.2505125E+02  2.1623927E+02  1.4701898E+02  2.7915847E+00
  1.5587915E+02  2.2480250E+02  2.3356878E+02  2.3659127E+02  2.6065014E+02  2.6086855E+02  9.0414709E+03  2.6086862E+02  2.6065044E+02  2.3659127E+02  2.3356878E+02  2.2480250E+02  1.5587915E+02  2.8459576E+00
  1.6485520E+02  2.3348781E+02  2.4220940E+02  2.4522239E+02  2.6908536E+02  2.6930694E+02  9.3367167E+03  2.6930701E+02  2.6908566E+02  2.4522239E+02  2.4220940E+02  2.3348781E+02  1.6485520E+02  2.9004652E+00
  0.0000000E+00  2.0000000E-10  1.0000013E-10  3.3693656E+00  4.5477553E+01  4.5462823E+01  2.3440732E+02  4.5462793E+01  4.5477601E+01  3.3693652E+00  2.0000000E-10  3.0000000E-10  0.0000000E+00  3.7586625E-01
  0.0000000E+00  2.0000000E-10  1.0000000E-10  3.3919545E+00  4.3502261E+01  4.3495791E+01  2.6259641E+02  4.3495761E+01  4.3502315E+01  3.3919541E+00  1.0000000E-10  1.0000000E-10  0.0000000E+00  3.7731746E-01
  0.0000000E+00  1.0000000E-10  2.2456379E-01  3.8784092E+00  4.2148616E+01  4.2149768E+01  2.9434636E+02  4.2149739E+01  4.2148678E+01  3.8784087E+00  2.2456379E-01  1.0000000E-10  0.0000000E+00  3.8506412E-01
  0.0000000E+00  1.0000000E-10  1.6586048E+00  5.2341370E+00  4.1782015E+01  4.1790206E+01  3.3304799E+02  4.1790180E+01  4.1782083E+01  5.2341365E+00  1.6586048E+00  1.0000000E-10  0.0000000E+00  4.2304839E-01
  0.0000000E+00  2.0000000E-10  3.1102201E+00  6.6234863E+00  4.1808282E+01  4.1823012E+01  3.7607189E+02  4.1822985E+01  4.1808354E+01  6.6234859E+00  3.1102201E+00  1.0000000E-10  0.0000000E+00  4.6110162E-01
  0.0000000E+00  1.0000000E-10  4.6083379E+00  8.0710913E+00  4.2049587E+01  4.2070530E+01  4.2461941E+02  4.2070506E+01  4.2049669E+01  8.0710909E+00  4.6083379E+00  4.4792827E-16  0.0000000E+00  4.9920606E-01
  0.0000000E+00  2.0000000E-10  6.1773668E+00  9.5978719E+00  4.2464093E+01  4.2490925E+01  4.7986925E+02  4.2490903E+01  4.2464181E+01  9.5978715E+00  6.1773668E+00  1.0000055E-10  0.0000000E+00  5.3736197E-01
  0.0000000E+00  3.0000000E-10  7.8414371E+00  1.1220467E+01  4.3049967E+01  4.3082401E+01  5.4191040E+02  4.3082384E+01  4.3050065E+01  1.1220467E+01  7.8414371E+00  3.0000000E-10  0.0000000E+00  5.7556958E-01
  0.0000000E+00  4.0000000E-10  9.6131342E+00  1.2953895E+01  4.3831567E+01  4.3869264E+01  6.1099598E+02  4.3869251E+01  4.3831674E+01  1.2953894E+01  9.6131342E+00  3.0000000E-10  0.0000000E+00  6.1382914E-01
  0.0000000E+00  1.4752374E+00  1.1504580E+01  1.4809827E+01  4.4810400E+01  4.4853122E+01  6.8509052E+02  4.4853109E+01  4.4810517E+01  1.4809826E+01  1.1504580E+01  1.4752374E+00  0.0000000E+00  6.5211996E-01
  0.0000000E+00  3.6536287E+00  1.3525864E+01  1.6797898E+01  4.5987656E+01  4.6035285E+01  7.6565987E+02  4.6035275E+01  4.5987780E+01  1.6797897E+01  1.3525864E+01  3.6536287E+00  0.0000000E+00  6.9045967E-01
  0.0000000E+00  5.9605054E+00  1.5685932E+01  1.8926786E+01  4.7380916E+01  4.7433024E+01  8.5358175E+02  4.7433041E+01  4.7381073E+01  1.8926786E+01  1.5685932E+01  5.9605054E+00  0.0000000E+00  7.2885789E-01
  0.0000000E+00  8.4039959E+00  1.7991797E+01  2.1203291E+01  4.8971412E+01  4.9027737E+01  9.4877778E+02  4.9027758E+01  4.8971577E+01  2.1203291E+01  1.7991797E+01  8.4039959E+00  0.0000000E+00  7.6731492E-01
  0.0000000E+00  1.0990401E+01  2.0448811E+01  2.3632581E+01  5.0762523E+01  5.0823075E+01  1.0511291E+03  5.0823099E+01  5.0762695E+01  2.3632581E+01  2.0448811E+01  1.0990401E+01  0.0000000E+00  8.0583104E-01
  0.0000000E+00  1.3724490E+01  2.3060925E+01  2.6218449E+01  5.2764169E+01  5.2828838E+01  1.1604874E+03  5.2828864E+01  5.2764349E+01  2.6218449E+01  2.3060925E+01  1.3724490E+01  0.0000000E+00  8.4440655E-01
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  0.0000000E+00  1.9648552E+01  2.8760559E+01  3.1869500E+01  5.7332199E+01  5.7404597E+01  1.3995341E+03  5.7404626E+01  5.7332395E+01  3.1869499E+01  2.8760559E+01  1.9648552E+01  0.0000000E+00  9.2173691E-01
  0.0000000E+00  2.2842420E+01  3.1850820E+01  3.4937201E+01  5.9919018E+01  5.9995297E+01  1.5288458E+03  5.9995329E+01  5.9919219E+01  3.4937200E+01  3.1850820E+01  2.2842420E+01  0.0000000E+00  9.6049238E-01
  0.0000000E+00  2.6192077E+01  3.5101958E+01  3.8166806E+01  6.2689036E+01  6.2769100E+01  1.6644196E+03  6.2769132E+01  6.2689244E+01  3.8166806E+01  3.5101958E+01  2.6192077E+01  0.0000000E+00  9.9930844E-01
  0.0000000E+00  2.9697623E+01  3.8513653E+01  4.1557917E+01  6.5639917E+01  6.5723672E+01  1.8060540E+03  6.5723706E+01  6.5640130E+01  4.1557916E+01  3.8513653E+01  2.9697623E+01  0.0000000E+00  1.0381854E+00
  0.0000000E+00  3.3358625E+01  4.2085102E+01  4.5109657E+01  6.8769076E+01  6.8856437E+01  1.9535464E+03  6.8856474E+01  6.8769295E+01  4.5109657E+01  4.2085102E+01  3.3358625E+01  0.0000000E+00  1.0771235E+00
  0.0000000E+00  3.7174208E+01  4.5815102E+01  4.8820758E+01  7.2073734E+01  7.2164620E+01  2.1066959E+03  7.2164658E+01  7.2073958E+01  4.8820758E+01  4.5815102E+01  3.7174208E+01  0.0000000E+00  1.1161232E+00
  0.0000000E+00  4.1143130E+01  4.9702114E+01  5.2689625E+01  7.5550953E+01  7.5645287E+01  2.2653035E+03  7.5645328E+01  7.5551184E+01  5.2689625E+01  4.9702114E+01  4.1143130E+01  0.0000000E+00  1.1551847E+00
  0.0000000E+00  4.5263844E+01  5.3744327E+01  5.6714395E+01  7.9197672E+01  7.9295385E+01  2.4291738E+03  7.9295427E+01  7.9197909E+01  5.6714395E+01  5.3744327E+01  4.5263844E+01  0.0000000E+00  1.1943083E+00
  0.0000000E+00  4.9534554E+01  5.7939706E+01  6.0892986E+01  8.3010742E+01  8.3111761E+01  2.5981156E+03  8.3111807E+01  8.3010984E+01  6.0892985E+01  5.7939706E+01  4.9534554E+01  0.0000000E+00  1.2334944E+00
  0.0000000E+00  5.3953258E+01  6.2286034E+01  6.5223137E+01  8.6986941E+01  8.7091204E+01  2.7719422E+03  8.7091251E+01  8.6987189E+01  6.5223136E+01  6.2286034E+01  5.3953258E+01  0.0000000E+00  1.2727433E+00
  0.0000000E+00  5.8517792E+01  6.6780950E+01  6.9702451E+01  9.1169043E+01  9.1274317E+01  2.9504719E+03  9.1274368E+01  9.1169298E+01  6.9702450E+01  6.6780950E+01  5.8517792E+01  0.0000000E+00  1.3120553E+00
  0.0000000E+00  6.3225854E+01  7.1421977E+01  7.4328415E+01  9.5516627E+01  9.5624940E+01  3.1335285E+03  9.5624994E+01  9.5516887E+01  7.4328414E+01  7.1421977E+01  6.3225854E+01  0.0000000E+00  1.3514307E+00
  2.7703485E+00  6.8075128E+01  7.6206626E+01  7.9098594E+01  1.0001895E+02  1.0013025E+02  3.3170191E+03  1.0013031E+02  1.0001922E+02  7.9098593E+01  7.6206626E+01  6.8075128E+01  2.7703485E+00  1.3907226E+00
  8.1649138E+00  7.3062943E+01  8.1131975E+01  8.4010006E+01  1.0467195E+02  1.0478618E+02  3.5012777E+03  1.0478624E+02  1.0467222E+02  8.4010005E+01  8.1131975E+01  7.3062943E+01  8.1649138E+00  1.4299638E+00
  1.3683929E+01  7.8187423E+01  8.6196002E+01  8.9060522E+01  1.0947288E+02  1.0958999E+02  3.6897855E+03  1.0959005E+02  1.0947315E+02  8.9060521E+01  8.6196002E+01  7.8187423E+01  1.3683929E+01  1.4692953E+00
  1.9326335E+01  8.3446871E+01  9.1396901E+01  9.4248313E+01  1.1441941E+02  1.1453936E+02  3.8824007E+03  1.1453942E+02  1.1441969E+02  9.4248312E+01  9.1396901E+01  8.3446871E+01  1.9326335E+01  1.5087177E+00
  2.5090931E+01  8.8839495E+01  9.6732781E+01  9.9571470E+01  1.1950918E+02  1.1963192E+02  4.0789855E+03  1.1963198E+02  1.1950947E+02  9.9571469E+01  9.6732781E+01  8.8839495E+01  2.5090931E+01  1.5482317E+00
  3.0976395E+01  9.4363429E+01  1.0220168E+02  1.0502801E+02  1.2473979E+02  1.2486527E+02  4.2794057E+03  1.2486534E+02  1.2474009E+02  1.0502801E+02  1.0220168E+02  9.4363429E+01  3.0976395E+01  1.5878378E+00
  3.6981304E+01  1.0001674E+02  1.0780158E+02  1.1061590E+02  1.3010881E+02  1.3023699E+02  4.4835313E+03  1.3023706E+02  1.3010911E+02  1.1061590E+02  1.0780158E+02  1.0001674E+02  3.6981304E+01  1.6275368E+00
  4.3104152E+01  1.0579744E+02  1.1353042E+02  1.1633306E+02  1.3561380E+02  1.3574464E+02  4.6912361E+03  1.3574471E+02  1.3561411E+02  1.1633306E+02  1.1353042E+02  1.0579744E+02  4.3104152E+01  1.6673293E+00
  4.9343359E+01  1.1170352E+02  1.1938610E+02  1.2217738E+02  1.4125231E+02  1.4138577E+02  4.9023976E+03  1.4138584E+02  1.4125262E+02  1.2217738E+02  1.1938610E+02  1.1170352E+02  4.9343359E+01  1.7072158E+00
  5.5697288E+01  1.1773292E+02  1.2536650E+02  1.2814673E+02  1.4702190E+02  1.4715794E+02  5.1168971E+03  1.4715801E+02  1.4702221E+02  1.2814673E+02  1.2536650E+02  1.1773292E+02  5.5697288E+01  1.7471971E+00
  6.2164253E+01  1.2388357E+02  1.3146948E+02  1.3423895E+02  1.5292011E+02  1.5305869E+02  5.3346198E+03  1.5305877E+02  1.5292043E+02  1.3423895E+02  1.3146948E+02  1.2388357E+02  6.2164253E+01  1.7872738E+00
  6.8742531E+01  1.3015339E+02  1.3769291E+02  1.4045189E+02  1.5894452E+02  1.5908562E+02  5.5554542E+03  1.5908570E+02  1.5894485E+02  1.4045189E+02  1.3769291E+02  1.3015339E+02  6.8742531E+01  1.8274465E+00
  7.5430371E+01  1.3654029E+02  1.4403463E+02  1.4678339E+02  1.6509272E+02  1.6523629E+02  5.7792926E+03  1.6523637E+02  1.6509305E+02  1.4678339E+02  1.4403463E+02  1.3654029E+02  7.5430371E+01  1.8677161E+00
  8.2225997E+01  1.4304217E+02  1.5049249E+02  1.5323129E+02  1.7136231E+02  1.7150832E+02  6.0060306E+03  1.7150841E+02  1.7136265E+02  1.5323129E+02  1.5049249E+02  1.4304217E+02  8.2225997E+01  1.9080830E+00
  8.9127622E+01  1.4965695E+02  1.5706436E+02  1.5979345E+02  1.7775092E+02  1.7789934E+02  6.2355672E+03  1.7789942E+02  1.7775126E+02  1.5979345E+02  1.5706436E+02  1.4965695E+02  8.9127622E+01  1.9485481E+00
  9.6133447E+01  1.5638254E+02  1.6374811E+02  1.6646772E+02  1.8425619E+02  1.8440699E+02  6.4678048E+03  1.8440708E+02  1.8425654E+02  1.6646772E+02  1.6374811E+02  1.5638254E+02  9.6133447E+01  1.9891120E+00
  1.0324167E+02  1.6321689E+02  1.7054163E+02  1.7325199E+02  1.9087582E+02  1.9102897E+02  6.7026488E+03  1.9102906E+02  1.9087618E+02  1.7325199E+02  1.7054163E+02  1.6321689E+02  1.0324167E+02  2.0297754E+00
  1.1045048E+02  1.7015792E+02  1.7744282E+02  1.8014416E+02  1.9760751E+02  1.9776298E+02  6.9400076E+03  1.9776307E+02  1.9760787E+02  1.8014416E+02  1.7744282E+02  1.7015792E+02  1.1045048E+02  2.0705391E+00
  1.1775809E+02  1.7720362E+02  1.8444961E+02  1.8714213E+02  2.0444901E+02  2.0460677E+02  7.1797928E+03  2.0460687E+02  2.0444938E+02  1.8714213E+02  1.8444961E+02  1.7720362E+02  1.1775809E+02  2.1114037E+00
  1.2516270E+02  1.8435196E+02  1.9155994E+02  1.9424386E+02  2.1139810E+02  2.1155811E+02  7.4219189E+03  2.1155821E+02  2.1139847E+02  1.9424386E+02  1.9155994E+02  1.8435196E+02  1.2516270E+02  2.1523699E+00
  1.3266254E+02  1.9160096E+02  1.9877180E+02  2.0144730E+02  2.1845257E+02  2.1861482E+02  7.6663030E+03  2.1861492E+02  2.1845295E+02  2.0144730E+02  1.9877180E+02  1.9160096E+02  1.3266254E+02  2.1934386E+00
  1.4025582E+02  1.9894864E+02  2.0608317E+02  2.0875045E+02  2.2561029E+02  2.2577475E+02  7.9128651E+03  2.2577485E+02  2.2561067E+02  2.0875045E+02  2.0608317E+02  1.9894864E+02  1.4025582E+02  2.2346105E+00
  0.0000000E+00  2.0000000E-10  7.2619643E-16  2.9404582E+00  3.3141295E+01  3.3130134E+01  2.2833978E+02  3.3130103E+01  3.3141358E+01  2.9404578E+00  1.0000000E-10  1.0000000E-10  0.0000000E+00  3.2092174E-01
  0.0000000E+00  2.0000000E-10  1.0000000E-10  2.9821127E+00  3.1656832E+01  3.1651953E+01  2.3829343E+02  3.1651921E+01  3.1656902E+01  2.9821122E+00  1.7766512E-16  1.0000000E-10  0.0000000E+00  3.2259031E-01
  0.0000000E+00  1.0000000E-10  1.7589796E-01  3.3967155E+00  3.0647163E+01  3.0648027E+01  2.5516388E+02  3.0647997E+01  3.0647242E+01  3.3967148E+00  1.7589796E-01  1.0000000E-10  0.0000000E+00  3.2885360E-01
  0.0000000E+00  2.6391820E-16  1.2989462E+00  4.4533246E+00  3.0418463E+01  3.0424565E+01  2.8017536E+02  3.0424536E+01  3.0418551E+01  4.4533240E+00  1.2989462E+00  2.6391820E-16  0.0000000E+00  3.5778213E-01
  0.0000000E+00  2.0000000E-10  2.4426084E+00  5.5458230E+00  3.0488393E+01  3.0499371E+01  3.1130913E+02  3.0499342E+01  3.0488485E+01  5.5458224E+00  2.4426084E+00  1.0000000E-10  0.0000000E+00  3.8674985E-01
  0.0000000E+00  1.0000000E-10  3.6360379E+00  6.6984544E+00  3.0726919E+01  3.0742482E+01  3.4919230E+02  3.0742458E+01  3.0727024E+01  6.6984539E+00  3.6360379E+00  5.5829123E-16  0.0000000E+00  4.1575700E-01
  0.0000000E+00  1.0000000E-10  4.9050118E+00  7.9289198E+00  3.1126651E+01  3.1146511E+01  3.9404964E+02  3.1146488E+01  3.1126764E+01  7.9289192E+00  4.9050118E+00  1.0000000E-10  0.0000000E+00  4.4480373E-01
  0.0000000E+00  2.0000000E-10  6.2654087E+00  9.2536541E+00  3.1682020E+01  3.1705959E+01  4.4578616E+02  3.1705943E+01  3.1682147E+01  9.2536534E+00  6.2654087E+00  2.0000000E-10  0.0000000E+00  4.7389025E-01
  0.0000000E+00  3.0000000E-10  7.7298567E+00  1.0685167E+01  3.2400889E+01  3.2428717E+01  5.0436605E+02  3.2428707E+01  3.2401026E+01  1.0685166E+01  7.7298567E+00  2.0000010E-10  0.0000000E+00  5.0301676E-01
  0.0000000E+00  1.2280995E+00  9.3079878E+00  1.2232709E+01  3.3303651E+01  3.3335052E+01  5.6791413E+02  3.3335072E+01  3.3303829E+01  1.2232709E+01  9.3079878E+00  1.2280995E+00  0.0000000E+00  5.3216626E-01
  0.0000000E+00  3.0528269E+00  1.1007547E+01  1.3903641E+01  3.4389192E+01  3.4423999E+01  6.3748938E+02  3.4424022E+01  3.4389381E+01  1.3903640E+01  1.1007547E+01  3.0528269E+00  0.0000000E+00  5.6135486E-01
  0.0000000E+00  4.9970312E+00  1.2835196E+01  1.5704396E+01  3.5644950E+01  3.5683163E+01  7.1369369E+02  3.5683189E+01  3.5645150E+01  1.5704395E+01  1.2835196E+01  4.9970312E+00  0.0000000E+00  5.9058987E-01
  0.0000000E+00  7.0666641E+00  1.4795910E+01  1.7639767E+01  3.7077146E+01  3.7118237E+01  7.9636027E+02  3.7118270E+01  3.7077355E+01  1.7639766E+01  1.4795910E+01  7.0666641E+00  0.0000000E+00  6.1987010E-01
  0.0000000E+00  9.2661148E+00  1.6893249E+01  1.9713163E+01  3.8694169E+01  3.8738307E+01  8.8530580E+02  3.8738342E+01  3.8694387E+01  1.9713162E+01  1.6893249E+01  9.2661148E+00  0.0000000E+00  6.4919584E-01
  0.0000000E+00  1.1598488E+01  1.9129614E+01  2.1926847E+01  4.0477359E+01  4.0524543E+01  9.8033621E+02  4.0524580E+01  4.0477585E+01  2.1926846E+01  1.9129614E+01  1.1598488E+01  0.0000000E+00  6.7856725E-01
  0.0000000E+00  1.4065829E+01  2.1506443E+01  2.4282144E+01  4.2428140E+01  4.2477969E+01  1.0812510E+03  4.2478008E+01  4.2428376E+01  2.4282143E+01  2.1506443E+01  1.4065829E+01  0.0000000E+00  7.0798463E-01
  0.0000000E+00  1.6669311E+01  2.4024384E+01  2.6779600E+01  4.4554816E+01  4.4607493E+01  1.1878467E+03  4.4607535E+01  4.4555061E+01  2.6779599E+01  2.4024384E+01  1.6669311E+01  0.0000000E+00  7.3744818E-01
  0.0000000E+00  1.9409386E+01  2.6683433E+01  2.9419122E+01  4.6840696E+01  4.6896143E+01  1.2999190E+03  4.6896188E+01  4.6840949E+01  2.9419122E+01  2.6683433E+01  1.9409386E+01  0.0000000E+00  7.6695815E-01
  0.0000000E+00  2.2285912E+01  2.9483049E+01  3.2200093E+01  4.9283514E+01  4.9341657E+01  1.4172654E+03  4.9341704E+01  4.9283776E+01  3.2200092E+01  2.9483049E+01  2.2285912E+01  0.0000000E+00  7.9651481E-01
  0.0000000E+00  2.5298260E+01  3.2422250E+01  3.5121461E+01  5.1880780E+01  5.1941548E+01  1.5396856E+03  5.1941598E+01  5.1881047E+01  3.5121460E+01  3.2422250E+01  2.5298260E+01  0.0000000E+00  8.2611838E-01
  0.0000000E+00  2.8445396E+01  3.5499694E+01  3.8181823E+01  5.4629819E+01  5.4693150E+01  1.6669836E+03  5.4693203E+01  5.4630094E+01  3.8181822E+01  3.5499694E+01  2.8445396E+01  0.0000000E+00  8.5576911E-01
  0.0000000E+00  3.1725962E+01  3.8713746E+01  4.1379488E+01  5.7527826E+01  5.7593658E+01  1.7989676E+03  5.7593714E+01  5.7528109E+01  4.1379487E+01  3.8713746E+01  3.1725962E+01  0.0000000E+00  8.8546727E-01
  0.0000000E+00  3.5138329E+01  4.2062534E+01  4.4712537E+01  6.0571886E+01  6.0640163E+01  1.9354512E+03  6.0640222E+01  6.0572176E+01  4.4712536E+01  4.2062534E+01  3.5138329E+01  0.0000000E+00  9.1521309E-01
  0.0000000E+00  3.8680654E+01  4.5543995E+01  4.8178861E+01  6.3759012E+01  6.3829680E+01  2.0762534E+03  6.3829742E+01  6.3759310E+01  4.8178860E+01  4.5543995E+01  3.8680654E+01  0.0000000E+00  9.4500682E-01
  0.0000000E+00  4.2350922E+01  4.9155917E+01  5.1776209E+01  6.7093287E+01  6.7164338E+01  2.2211990E+03  6.7164404E+01  6.7093593E+01  5.1776208E+01  4.9155917E+01  4.2350922E+01  0.0000000E+00  9.7484874E-01
  0.0000000E+00  4.6146980E+01  5.2895971E+01  5.5502216E+01  7.0603366E+01  7.0676633E+01  2.3701185E+03  7.0676702E+01  7.0603679E+01  5.5502215E+01  5.2895971E+01  4.6146980E+01  0.0000000E+00  1.0047391E+00
  0.0000000E+00  5.0066573E+01  5.6761741E+01  5.9354432E+01  7.4248461E+01  7.4323900E+01  2.5228487E+03  7.4323971E+01  7.4248781E+01  5.9354431E+01  5.6761741E+01  5.0066573E+01  0.0000000E+00  1.0346781E+00
  0.0000000E+00  5.4107360E+01  6.0750744E+01  6.3330345E+01  7.8025467E+01  7.8103034E+01  2.6792319E+03  7.8103108E+01  7.8025795E+01  6.3330344E+01  6.0750744E+01  5.4107360E+01  0.0000000E+00  1.0646661E+00
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  1.7548256E-02  6.7419458E-01  8.5576366E-01  9.3627644E-01  1.1856532E+00  1.1964753E+00  2.4551236E+01  1.2568869E+00  1.2984792E+00  9.3622545E-01  8.5576366E-01  6.7419458E-01  1.7548256E-02  4.9651855E-02
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  8.2648881E-02  7.2816952E-01  9.0746414E-01  9.8713574E-01  1.2344781E+00  1.2455584E+00  2.5168480E+01  1.3074964E+00  1.3501954E+00  9.8708487E-01  9.0746414E-01  7.2816952E-01  8.2648881E-02  5.2981651E-02
  1.1403523E-01  7.5424367E-01  9.3244748E-01  1.0117175E+00  1.2580765E+00  1.2692810E+00  2.5456313E+01  1.3319595E+00  1.3751988E+00  1.0116667E+00  9.3244748E-01  7.5424367E-01  1.1403523E-01  5.4652571E-02
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  1.7460185E-01  8.0464490E-01  9.8075251E-01  1.0592547E+00  1.3037097E+00  1.3151532E+00  2.5993797E+01  1.3792701E+00  1.4235660E+00  1.0592040E+00  9.8075251E-01  8.0464490E-01  1.7460185E-01  5.8006587E-02
  2.0382834E-01  8.2900312E-01  1.0041027E+00  1.0822375E+00  1.3257704E+00  1.3373288E+00  2.6244687E+01  1.4021446E+00  1.4469572E+00  1.0821869E+00  1.0041027E+00  8.2900312E-01  2.0382834E-01  5.9689739E-02
  2.3237975E-01  8.5281999E-01  1.0269366E+00  1.1047145E+00  1.3473441E+00  1.3590146E+00  2.6484444E+01  1.4245163E+00  1.4698382E+00  1.1046640E+00  1.0269366E+00  8.5281999E-01  2.3237975E-01  6.1377024E-02
  2.6027718E-01  8.7611032E-01  1.0492679E+00  1.1266988E+00  1.3684433E+00  1.3802231E+00  2.6713602E+01  1.4463983E+00  1.4922223E+00  1.1266484E+00  1.0492679E+00  8.7611032E-01  2.6027718E-01  6.3068470E-02
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  3.4024539E-01  9.4296472E-01  1.1133790E+00  1.1898249E+00  1.4290160E+00  1.4411081E+00  2.7342397E+01  1.5092326E+00  1.5565227E+00  1.1897748E+00  1.1133790E+00  9.4296472E-01  3.4024539E-01  6.8168065E-02
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  0.0000000E+00  2.1205723E-01  3.8583833E-01  4.6314324E-01  7.1020098E-01  7.2109563E-01  1.4596109E+01  7.8121951E-01  8.2181121E-01  4.6308857E-01  3.8583833E-01  2.1205723E-01  0.0000000E+00  2.5932570E-02
  0.0000000E+00  2.4113919E-01  4.1321535E-01  4.8987077E-01  7.3532605E-01  7.4643934E-01  1.5102204E+01  8.0782728E-01  8.4928762E-01  4.8981619E-01  4.1321535E-01  2.4113919E-01  0.0000000E+00  2.7418526E-02
  0.0000000E+00  2.6951539E-01  4.3996284E-01  5.1599811E-01  7.5990947E-01  7.7123326E-01  1.5579125E+01  8.3384335E-01  8.7614856E-01  5.1594363E-01  4.3996284E-01  2.6951539E-01  0.0000000E+00  2.8906935E-02
  0.0000000E+00  2.9718800E-01  4.6607688E-01  5.4151906E-01  7.8394096E-01  7.9546760E-01  1.6028835E+01  8.5926050E-01  9.0238814E-01  5.4146469E-01  4.6607688E-01  2.9718800E-01  0.0000000E+00  3.0397810E-02
  0.0000000E+00  3.2416357E-01  4.9155867E-01  5.6643275E-01  8.0741598E-01  8.1913828E-01  1.6453151E+01  8.8407693E-01  9.2800581E-01  5.6637850E-01  4.9155867E-01  3.2416357E-01  0.0000000E+00  3.1891161E-02
  0.0000000E+00  3.5045196E-01  5.1641324E-01  5.9074240E-01  8.3033444E-01  8.4224563E-01  1.6853754E+01  9.0829512E-01  9.5300515E-01  5.9068828E-01  5.1641324E-01  3.5045196E-01  0.0000000E+00  3.3387002E-02
  0.0000000E+00  3.7606545E-01  5.4064860E-01  6.1445439E-01  8.5269976E-01  8.6479344E-01  1.7232197E+01  9.3192078E-01  9.7739293E-01  6.1440040E-01  5.4064860E-01  3.7606545E-01  0.0000000E+00  3.4885343E-02
  0.0000000E+00  4.0101816E-01  5.6427501E-01  6.3757750E-01  8.7451798E-01  8.8678810E-01  1.7589918E+01  9.5496211E-01  1.0011783E+00  6.3752365E-01  5.6427501E-01  4.0101816E-01  0.0000000E+00  3.6386199E-02
  0.0000000E+00  4.2532545E-01  5.8730434E-01  6.6012230E-01  8.9579721E-01  9.0823805E-01  1.7928244E+01  9.7742916E-01  1.0243722E+00  6.6006859E-01  5.8730434E-01  4.2532545E-01  0.0000000E+00  3.7889580E-02
  0.0000000E+00  4.4900358E-01  6.0974970E-01  6.8210068E-01  9.1654711E-01  9.2915323E-01  1.8248401E+01  9.9933340E-01  1.0469869E+00  6.8204712E-01  6.0974970E-01  4.4900358E-01  0.0000000E+00  3.9395500E-02
  0.0000000E+00  4.7206933E-01  6.3162502E-01  7.0352550E-01  9.3677846E-01  9.4954469E-01  1.8551525E+01  1.0206873E+00  1.0690357E+00  7.0347210E-01  6.3162502E-01  4.7206933E-01  0.0000000E+00  4.0903971E-02
  0.0000000E+00  4.9453978E-01  6.5294478E-01  7.2441025E-01  9.5650286E-01  9.6942428E-01  1.8838667E+01  1.0415040E+00  1.0905324E+00  7.2435700E-01  6.5294478E-01  4.9453978E-01  0.0000000E+00  4.2415004E-02
  0.0000000E+00  5.1643213E-01  6.7372380E-01  7.4476884E-01  9.7573249E-01  9.8880440E-01  1.9110799E+01  1.0617971E+00  1.1114913E+00  7.4471575E-01  6.7372380E-01  5.1643213E-01  0.0000000E+00  4.3928615E-02
  1.3591643E-02  5.3776311E-01  6.9397646E-01  7.6461893E-01  9.9448305E-01  1.0077010E+00  1.9345493E+01  1.0815839E+00  1.1319305E+00  7.6456600E-01  6.9397646E-01  5.3776311E-01  1.3591643E-02  4.5440037E-02
  3.9054600E-02  5.5854161E-01  7.1370791E-01  7.8396397E-01  1.0127547E+00  1.0261148E+00  1.9546977E+01  1.1008677E+00  1.1518549E+00  7.8391121E-01  7.1370791E-01  5.5854161E-01  3.9054600E-02  4.6950453E-02
  6.3835468E-02  5.7878266E-01  7.3293115E-01  8.0281250E-01  1.0305546E+00  1.0440529E+00  1.9737641E+01  1.1196567E+00  1.1712734E+00  8.0275990E-01  7.3293115E-01  5.7878266E-01  6.3835468E-02  4.8464480E-02
  8.7958764E-02  5.9850313E-01  7.5166161E-01  8.2117937E-01  1.0478965E+00  1.0615293E+00  1.9918090E+01  1.1379656E+00  1.1902010E+00  8.2112694E-01  7.5166161E-01  5.9850313E-01  8.7958764E-02  4.9982143E-02
  1.1144798E-01  6.1771947E-01  7.6991436E-01  8.3907916E-01  1.0647940E+00  1.0785578E+00  2.0088888E+01  1.1558088E+00  1.2086525E+00  8.3902690E-01  7.6991436E-01  6.1771947E-01  1.1144798E-01  5.1503465E-02
  1.3432564E-01  6.3644761E-01  7.8770409E-01  8.5652608E-01  1.0812603E+00  1.0951518E+00  2.0250566E+01  1.1732003E+00  1.2266424E+00  8.5647399E-01  7.8770409E-01  6.3644761E-01  1.3432564E-01  5.3028471E-02
  1.5661328E-01  6.5470302E-01  8.0504509E-01  8.7353397E-01  1.0973084E+00  1.1113243E+00  2.0403617E+01  1.1901540E+00  1.2441848E+00  8.7348207E-01  8.0504509E-01  6.5470302E-01  1.5661328E-01  5.4557185E-02
  1.7833157E-01  6.7250068E-01  8.2195124E-01  8.9011632E-01  1.1129510E+00  1.1270880E+00  2.0548504E+01  1.2066831E+00  1.2612933E+00  8.9006459E-01  8.2195124E-01  6.7250068E-01  1.7833157E-01  5.6089632E-02
  1.9950028E-01  6.8985507E-01  8.3843601E-01  9.0628619E-01  1.1282004E+00  1.1424555E+00  2.0685664E+01  1.2228007E+00  1.2779812E+00  9.0623463E-01  8.3843601E-01  6.8985507E-01  1.9950028E-01  5.7625837E-02
  2.2013835E-01  7.0678020E-01  8.5451244E-01  9.2205627E-01  1.1430686E+00  1.1574388E+00  2.0815501E+01  1.2385192E+00  1.2942614E+00  9.2200489E-01  8.5451244E-01  7.0678020E-01  2.2013835E-01  5.9165826E-02
  2.4026392E-01  7.2328959E-01  8.7019316E-01  9.3743884E-01  1.1575670E+00  1.1720495E+00  2.0938399E+01  1.2538510E+00  1.3101464E+00  9.3738765E-01  8.7019316E-01  7.2328959E-01  2.4026392E-01  6.0709623E-02
  2.5989437E-01  7.3939630E-01  8.8549038E-01  9.5244582E-01  1.1717071E+00  1.1862989E+00  2.1054716E+01  1.2688079E+00  1.3256483E+00  9.5239480E-01  8.8549038E-01  7.3939630E-01  2.5989437E-01  6.2257256E-02
  2.7904634E-01  7.5511293E-01  9.0041590E-01  9.6708869E-01  1.1854996E+00  1.2001982E+00  2.1164789E+01  1.2834012E+00  1.3407788E+00  9.6703785E-01  9.0041590E-01  7.5511293E-01  2.7904634E-01  6.3808750E-02
  2.9773579E-01  7.7045162E-01  9.1498113E-01  9.8137859E-01  1.1989552E+00  1.2137579E+00  2.1268934E+01  1.2976421E+00  1.3555492E+00  9.8132793E-01  9.1498113E-01  7.7045162E-01  2.9773579E-01  6.5364131E-02
  3.1597801E-01  7.8542409E-01  9.2919708E-01  9.9532626E-01  1.2120840E+00  1.2269882E+00  2.1367449E+01  1.3115411E+00  1.3699704E+00  9.9527579E-01  9.2919708E-01  7.8542409E-01  3.1597801E-01  6.6923426E-02
  3.3378764E-01  8.0004164E-01  9.4307439E-01  1.0089421E+00  1.2248958E+00  1.2398991E+00  2.1460615E+01  1.3251088E+00  1.3840529E+00  1.0088918E+00  9.4307439E-01  8.0004164E-01  3.3378764E-01  6.8486662E-02
  3.5117873E-01  8.1431515E-01  9.5662331E-01  1.0222361E+00  1.2374003E+00  1.2525002E+00  2.1548695E+01  1.3383550E+00  1.3978071E+00  1.0221860E+00  9.5662331E-01  8.1431515E-01  3.5117873E-01  7.0053867E-02
  3.6816476E-01  8.2825511E-01  9.6985374E-01  1.0352180E+00  1.2496066E+00  1.2648008E+00  2.1631939E+01  1.3512893E+00  1.4112426E+00  1.0351681E+00  9.6985374E-01  8.2825511E-01  3.6816476E-01  7.1625067E-02
  3.8475866E-01  8.4187163E-01  9.8277524E-01  1.0478971E+00  1.2615236E+00  1.2768099E+00  2.1710579E+01  1.3639212E+00  1.4243691E+00  1.0478473E+00  9.8277524E-01  8.4187163E-01  3.8475866E-01  7.3200291E-02
  4.0097283E-01  8.5517446E-01  9.9539702E-01  1.0602824E+00  1.2731600E+00  1.2885360E+00  2.1784839E+01  1.3762595E+00  1.4371957E+00  1.0602328E+00  9.9539702E-01  8.5517446E-01  4.0097283E-01  7.4779566E-02
  4.1681916E-01  8.6817298E-01  1.0077280E+00  1.0723826E+00  1.2845240E+00  1.2999876E+00  2.1854926E+01  1.3883129E+00  1.4497312E+00  1.0723332E+00  1.0077280E+00  8.6817298E-01  4.1681916E-01  7.6362922E-02
  4.3230908E-01  8.8087625E-01  1.0197766E+00  1.0842062E+00  1.2956235E+00  1.3111727E+00  2.1921037E+01  1.4000898E+00  1.4619841E+00  1.0841570E+00  1.0197766E+00  8.8087625E-01  4.3230908E-01  7.7950387E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.2533532E-02  3.1558687E-01  3.2333767E-01  1.3891231E+00  3.6519202E-01  3.9335327E-01  5.2477566E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.4423262E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.4830931E-02  3.2653723E-01  3.3488018E-01  2.5199437E+00  3.8008044E-01  4.1026731E-01  6.4763391E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.8784684E-03
  0.0000000E+00  0.0000000E+00  3.4398163E-03  8.3392962E-02  3.4191898E-01  3.5079933E-01  3.5892297E+00  3.9904829E-01  4.3111153E-01  8.3333915E-02  3.4398163E-03  0.0000000E+00  0.0000000E+00  6.6132486E-03
  0.0000000E+00  0.0000000E+00  2.6653025E-02  1.0516826E-01  3.6019888E-01  3.6957308E-01  4.5704670E+00  4.2063493E-01  4.5445526E-01  1.0510911E-01  2.6653025E-02  0.0000000E+00  0.0000000E+00  7.9306812E-03
  0.0000000E+00  0.0000000E+00  5.1325493E-02  1.2854236E-01  3.8035976E-01  3.9019160E-01  5.4858559E+00  4.4387050E-01  4.7934787E-01  1.2848318E-01  5.1325493E-02  0.0000000E+00  0.0000000E+00  9.2499983E-03
  0.0000000E+00  0.0000000E+00  7.6822806E-02  1.5285736E-01  4.0170129E-01  4.1195921E-01  6.3370637E+00  4.6808408E-01  5.0512962E-01  1.5279821E-01  7.6822806E-02  0.0000000E+00  0.0000000E+00  1.0571208E-02
  0.0000000E+00  0.0000000E+00  1.0269778E-01  1.7764798E-01  4.2372478E-01  4.3438100E-01  7.1273731E+00  4.9280111E-01  5.3133530E-01  1.7758892E-01  1.0269778E-01  0.0000000E+00  0.0000000E+00  1.1894319E-02
  0.0000000E+00  0.0000000E+00  1.2863404E-01  2.0258365E-01  4.4607282E-01  4.5710273E-01  7.8607704E+00  5.1768420E-01  5.5763545E-01  2.0252472E-01  1.2863404E-01  0.0000000E+00  0.0000000E+00  1.3219338E-02
  0.0000000E+00  0.0000000E+00  1.5440773E-01  2.2742915E-01  4.6848834E-01  4.7986994E-01  8.5414487E+00  5.4249308E-01  5.8379656E-01  2.2737039E-01  1.5440773E-01  0.0000000E+00  0.0000000E+00  1.4546275E-02
  0.0000000E+00  1.9645484E-02  1.7985868E-01  2.5201469E-01  4.9078078E-01  5.0249469E-01  9.1439741E+00  5.6705411E-01  6.0965236E-01  2.5195611E-01  1.7985868E-01  1.9645484E-02  0.0000000E+00  1.5874654E-02
  0.0000000E+00  4.6796360E-02  2.0487288E-01  2.7621596E-01  5.1280429E-01  5.2483395E-01  9.6919578E+00  5.9124009E-01  6.3508446E-01  2.7615758E-01  2.0487288E-01  4.6796360E-02  0.0000000E+00  1.7204943E-02
  0.0000000E+00  7.3313926E-02  2.2937814E-01  2.9995484E-01  5.3446944E-01  5.4679970E-01  1.0201141E+01  6.1497074E-01  6.6001634E-01  2.9989669E-01  2.2937814E-01  7.3313926E-02  0.0000000E+00  1.8537377E-02
  0.0000000E+00  9.9162351E-02  2.5332593E-01  3.2317811E-01  5.5571362E-01  5.6833056E-01  1.0674592E+01  6.3819113E-01  6.8439621E-01  3.2312021E-01  2.5332593E-01  9.9162351E-02  0.0000000E+00  1.9871967E-02
  0.0000000E+00  1.2432135E-01  2.7668508E-01  3.4585060E-01  5.7649350E-01  5.8938426E-01  1.1115143E+01  6.6086472E-01  7.0819035E-01  3.4579295E-01  2.7668508E-01  1.2432135E-01  0.0000000E+00  2.1208722E-02
  0.0000000E+00  1.4878218E-01  2.9943742E-01  3.6795066E-01  5.9678032E-01  6.0993298E-01  1.1525399E+01  6.8296881E-01  7.3137857E-01  3.6789328E-01  2.9943742E-01  1.4878218E-01  0.0000000E+00  2.2547654E-02
  0.0000000E+00  1.7254462E-01  3.2157457E-01  3.8946690E-01  6.1655639E-01  6.2995991E-01  1.1907745E+01  7.0449112E-01  7.5395090E-01  3.8940980E-01  3.2157457E-01  1.7254462E-01  0.0000000E+00  2.3888772E-02
  0.0000000E+00  1.9561475E-01  3.4309545E-01  4.1039560E-01  6.3581244E-01  6.4945651E-01  1.2264359E+01  7.2542724E-01  7.7590501E-01  4.1033877E-01  3.4309545E-01  1.9561475E-01  0.0000000E+00  2.5232086E-02
  0.0000000E+00  2.1800319E-01  3.6400440E-01  4.3073878E-01  6.5454555E-01  6.6842056E-01  1.2597228E+01  7.4577863E-01  7.9724424E-01  4.3068224E-01  3.6400440E-01  2.1800319E-01  0.0000000E+00  2.6577607E-02
  0.0000000E+00  2.3972388E-01  3.8430979E-01  4.5050275E-01  6.7275762E-01  6.8685458E-01  1.2908164E+01  7.6555114E-01  8.1797619E-01  4.5044650E-01  3.8430979E-01  2.3972388E-01  0.0000000E+00  2.7925345E-02
  0.0000000E+00  2.6079301E-01  4.0402290E-01  4.6969696E-01  6.9045414E-01  7.0476460E-01  1.3198818E+01  7.8475386E-01  8.3811153E-01  4.6964100E-01  4.0402290E-01  2.6079301E-01  0.0000000E+00  2.9275312E-02
  0.0000000E+00  2.8122835E-01  4.2315708E-01  4.8833314E-01  7.0764327E-01  7.2215933E-01  1.3470699E+01  8.0339823E-01  8.5766315E-01  4.8827749E-01  4.2315708E-01  2.8122835E-01  0.0000000E+00  3.0627516E-02
  0.0000000E+00  3.0104864E-01  4.4172715E-01  5.0642466E-01  7.2433516E-01  7.3904935E-01  1.3725181E+01  8.2149738E-01  8.7664552E-01  5.0636931E-01  4.4172715E-01  3.0104864E-01  0.0000000E+00  3.1981970E-02
  0.0000000E+00  3.2027320E-01  4.5974886E-01  5.2398597E-01  7.4054133E-01  7.5544661E-01  1.3963521E+01  8.3906554E-01  8.9507412E-01  5.2393091E-01  4.5974886E-01  3.2027320E-01  0.0000000E+00  3.3338683E-02
  0.0000000E+00  3.3892153E-01  4.7723856E-01  5.4103220E-01  7.5627428E-01  7.7136399E-01  1.4186868E+01  8.5611774E-01  9.1296511E-01  5.4097745E-01  4.7723856E-01  3.3892153E-01  0.0000000E+00  3.4697668E-02
  0.0000000E+00  3.5701316E-01  4.9421287E-01  5.5757893E-01  7.7154713E-01  7.8681499E-01  1.4396273E+01  8.7266940E-01  9.3033498E-01  5.5752448E-01  4.9421287E-01  3.5701316E-01  0.0000000E+00  3.6058934E-02
  0.0000000E+00  3.7456739E-01  5.1068848E-01  5.7364186E-01  7.8637338E-01  8.0181343E-01  1.4592701E+01  8.8873614E-01  9.4720034E-01  5.7358772E-01  5.1068848E-01  3.7456739E-01  0.0000000E+00  3.7422492E-02
  0.0000000E+00  3.9160320E-01  5.2668198E-01  5.8923671E-01  8.0076670E-01  8.1637328E-01  1.4777033E+01  9.0433361E-01  9.6357773E-01  5.8918287E-01  5.2668198E-01  3.9160320E-01  0.0000000E+00  3.8788355E-02
  0.0000000E+00  4.0813914E-01  5.4220973E-01  6.0437903E-01  8.1474079E-01  8.3050851E-01  1.4950084E+01  9.1947730E-01  9.7948352E-01  6.0432549E-01  5.4220973E-01  4.0813914E-01  0.0000000E+00  4.0156532E-02
  1.0399731E-02  4.2419283E-01  5.5728722E-01  6.1908720E-01  8.2831194E-01  8.4423574E-01  1.5094376E+01  9.3418557E-01  9.9493708E-01  6.1903397E-01  5.5728722E-01  4.2419283E-01  1.0399731E-02  4.1522667E-02
  2.9838660E-02  4.3977504E-01  5.7192177E-01  6.3336706E-01  8.4148254E-01  8.5755783E-01  1.5213280E+01  9.4846420E-01  1.0099461E+00  6.3331413E-01  5.7192177E-01  4.3977504E-01  2.9838660E-02  4.2887831E-02
  4.8701451E-02  4.5490124E-01  5.8612703E-01  6.4722820E-01  8.5426066E-01  8.7048306E-01  1.5324320E+01  9.6232277E-01  1.0245210E+00  6.4717557E-01  5.8612703E-01  4.5490124E-01  4.8701451E-02  4.4256240E-02
  6.7011113E-02  4.6958806E-01  5.9991830E-01  6.6068543E-01  8.6665994E-01  8.8302528E-01  1.5427983E+01  9.7577607E-01  1.0386771E+00  6.6063310E-01  5.9991830E-01  4.6958806E-01  6.7011113E-02  4.5627917E-02
  8.4789536E-02  4.8385150E-01  6.1331033E-01  6.7375305E-01  8.7869362E-01  8.9519788E-01  1.5524724E+01  9.8883839E-01  1.0524291E+00  6.7370102E-01  6.1331033E-01  4.8385150E-01  8.4789536E-02  4.7002883E-02
  1.0205756E-01  4.9770693E-01  6.2631735E-01  6.8644485E-01  8.9037446E-01  9.0701378E-01  1.5614966E+01  1.0015235E+00  1.0657913E+00  6.8639311E-01  6.2631735E-01  4.9770693E-01  1.0205756E-01  4.8381158E-02
  1.1883500E-01  5.1116909E-01  6.3895302E-01  6.9877408E-01  9.0171482E-01  9.1848547E-01  1.5699100E+01  1.0138447E+00  1.0787773E+00  6.9872265E-01  6.3895302E-01  5.1116909E-01  1.1883500E-01  4.9762764E-02
  1.3514074E-01  5.2425213E-01  6.5123048E-01  7.1075353E-01  9.1272656E-01  9.2962496E-01  1.5777491E+01  1.0258147E+00  1.0914005E+00  7.1070240E-01  6.5123048E-01  5.2425213E-01  1.3514074E-01  5.1147725E-02
  1.5099276E-01  5.3696962E-01  6.6316236E-01  7.2239548E-01  9.2342114E-01  9.4044384E-01  1.5850479E+01  1.0374459E+00  1.1036735E+00  7.2234464E-01  6.6316236E-01  5.3696962E-01  1.5099276E-01  5.2536061E-02
  1.6640818E-01  5.4933456E-01  6.7476080E-01  7.3371173E-01  9.3380957E-01  9.5095324E-01  1.5918380E+01  1.0487500E+00  1.1156085E+00  7.3366119E-01  6.7476080E-01  5.4933456E-01  1.6640818E-01  5.3927794E-02
  1.8140330E-01  5.6135943E-01  6.8603743E-01  7.4471363E-01  9.4390247E-01  9.6116388E-01  1.5981489E+01  1.0597385E+00  1.1272173E+00  7.4466338E-01  6.8603743E-01  5.6135943E-01  1.8140330E-01  5.5322948E-02
  1.9599368E-01  5.7305618E-01  6.9700344E-01  7.5541206E-01  9.5371002E-01  9.7108608E-01  1.6040083E+01  1.0704222E+00  1.1385109E+00  7.5536210E-01  6.9700344E-01  5.7305618E-01  1.9599368E-01  5.6721545E-02
  2.1019415E-01  5.8443625E-01  7.0766955E-01  7.6581747E-01  9.6324203E-01  9.8072971E-01  1.6094417E+01  1.0808115E+00  1.1495004E+00  7.6576780E-01  7.0766955E-01  5.8443625E-01  2.1019415E-01  5.8123609E-02
  2.2401883E-01  5.9551061E-01  7.1804605E-01  7.7593991E-01  9.7250789E-01  9.9010430E-01  1.6144733E+01  1.0909166E+00  1.1601961E+00  7.7589053E-01  7.1804605E-01  5.9551061E-01  2.2401883E-01  5.9529161E-02
  2.3748122E-01  6.0628979E-01  7.2814282E-01  7.8578901E-01  9.8151667E-01  9.9921900E-01  1.6191255E+01  1.1007471E+00  1.1706078E+00  7.8573991E-01  7.2814282E-01  6.0628979E-01  2.3748122E-01  6.0938227E-02
  2.5059419E-01  6.1678387E-01  7.3796932E-01  7.9537401E-01  9.9027705E-01  1.0080826E+00  1.6234194E+01  1.1103123E+00  1.1807452E+00  7.9532520E-01  7.3796932E-01  6.1678387E-01  2.5059419E-01  6.2350829E-02
  2.6337004E-01  6.2700250E-01  7.4753464E-01  8.0470380E-01  9.9879737E-01  1.0167034E+00  1.6273748E+01  1.1196211E+00  1.1906175E+00  8.0465528E-01  7.4753464E-01  6.2700250E-01  2.6337004E-01  6.3766992E-02
  2.7582051E-01  6.3695495E-01  7.5684751E-01  8.1378689E-01  1.0070857E+00  1.0250897E+00  1.6310101E+01  1.1286820E+00  1.2002334E+00  8.1373865E-01  7.5684751E-01  6.3695495E-01  2.7582051E-01  6.5186739E-02
  2.8795682E-01  6.4665010E-01  7.6591630E-01  8.2263146E-01  1.0151496E+00  1.0332491E+00  1.6343426E+01  1.1375032E+00  1.2096015E+00  8.2258350E-01  7.6591630E-01  6.4665010E-01  2.8795682E-01  6.6610096E-02
  2.9978970E-01  6.5609646E-01  7.7474903E-01  8.3124537E-01  1.0229966E+00  1.0411892E+00  1.6373887E+01  1.1460926E+00  1.2187297E+00  8.3119769E-01  7.7474903E-01  6.5609646E-01  2.9978970E-01  6.8037086E-02
  3.1132940E-01  6.6530220E-01  7.8335341E-01  8.3963615E-01  1.0306338E+00  1.0489171E+00  1.6401636E+01  1.1544577E+00  1.2276260E+00  8.3958875E-01  7.8335341E-01  6.6530220E-01  3.1132940E-01  6.9467736E-02
  3.2258574E-01  6.7427517E-01  7.9173685E-01  8.4781105E-01  1.0380680E+00  1.0564397E+00  1.6426817E+01  1.1626059E+00  1.2362979E+00  8.4776392E-01  7.9173685E-01  6.7427517E-01  3.2258574E-01  7.0902069E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.4211973E-02  2.8854541E-01  2.9840993E-01  1.4587230E+00  3.5257515E-01  3.8717795E-01  4.4154756E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.4118964E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.6412594E-02  2.9880213E-01  3.0937437E-01  2.4325573E+00  3.6755722E-01  4.0466138E-01  5.6346721E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.8231903E-03
  0.0000000E+00  0.0000000E+00  3.1200561E-03  7.3632974E-02  3.1243806E-01  3.2364756E-01  3.3293074E+00  3.8545956E-01  4.2486922E-01  7.3569011E-02  3.1200561E-03  0.0000000E+00  0.0000000E+00  6.5289219E-03
  0.0000000E+00  0.0000000E+00  2.3840071E-02  9.3034490E-02  3.2815227E-01  3.3994289E-01  4.1318297E+00  4.0507751E-01  4.4663578E-01  9.2970854E-02  2.3840071E-02  0.0000000E+00  0.0000000E+00  7.7127777E-03
  0.0000000E+00  0.0000000E+00  4.5372498E-02  1.1337448E-01  3.4510899E-01  3.5743413E-01  4.8660094E+00  4.2563840E-01  4.6921361E-01  1.1331123E-01  4.5372498E-02  0.0000000E+00  0.0000000E+00  8.8983188E-03
  0.0000000E+00  0.0000000E+00  6.7229395E-02  1.3414405E-01  3.6275334E-01  3.7557254E-01  5.5368935E+00  4.4662735E-01  4.9210290E-01  1.3408123E-01  6.7229395E-02  0.0000000E+00  0.0000000E+00  1.0085552E-02
  0.0000000E+00  0.0000000E+00  8.9080831E-02  1.5499709E-01  3.8070298E-01  3.9398084E-01  6.1499494E+00  4.6769455E-01  5.1496644E-01  1.5493473E-01  8.9080831E-02  0.0000000E+00  0.0000000E+00  1.1274485E-02
  0.0000000E+00  0.0000000E+00  1.1070400E-01  1.7569805E-01  3.9869331E-01  4.1239859E-01  6.7105511E+00  4.8860217E-01  5.3757708E-01  1.7563618E-01  1.1070400E-01  0.0000000E+00  0.0000000E+00  1.2465124E-02
  0.0000000E+00  0.0000000E+00  1.3194969E-01  1.9608751E-01  4.1654123E-01  4.3064619E-01  7.2237418E+00  5.0918946E-01  5.5978313E-01  1.9602614E-01  1.3194969E-01  0.0000000E+00  0.0000000E+00  1.3657477E-02
  0.0000000E+00  1.6157833E-02  1.5271744E-01  2.1605633E-01  4.3411525E-01  4.4859554E-01  7.6692275E+00  5.2934676E-01  5.8148458E-01  2.1599547E-01  1.5271744E-01  1.6157833E-02  0.0000000E+00  1.4851095E-02
  0.0000000E+00  3.8320743E-02  1.7294020E-01  2.3552810E-01  4.5131594E-01  4.6615069E-01  8.0678479E+00  5.4899786E-01  6.0261642E-01  2.3546776E-01  1.7294020E-01  3.8320743E-02  0.0000000E+00  1.6046411E-02
  0.0000000E+00  5.9789243E-02  1.9258255E-01  2.5446201E-01  4.6809024E-01  4.8326051E-01  8.4335077E+00  5.6810177E-01  6.2314270E-01  2.5440220E-01  1.9258255E-01  5.9789243E-02  0.0000000E+00  1.7243645E-02
  0.0000000E+00  8.0556344E-02  2.1162581E-01  2.7283518E-01  4.8440510E-01  4.9989353E-01  8.7692652E+00  5.8663554E-01  6.4304472E-01  2.7277589E-01  2.1162581E-01  8.0556344E-02  0.0000000E+00  1.8442806E-02
  0.0000000E+00  1.0062518E-01  2.3006311E-01  2.9063707E-01  5.0024117E-01  5.1603184E-01  9.0778690E+00  6.0458873E-01  6.6231581E-01  2.9057831E-01  2.3006311E-01  1.0062518E-01  0.0000000E+00  1.9643903E-02
  0.0000000E+00  1.2000597E-01  2.4789602E-01  3.0786613E-01  5.1558918E-01  5.3166741E-01  9.3617849E+00  6.2195994E-01  6.8095800E-01  3.0780790E-01  2.4789602E-01  1.2000597E-01  0.0000000E+00  2.0846944E-02
  0.0000000E+00  1.3871386E-01  2.6513217E-01  3.2452723E-01  5.3044722E-01  5.4679945E-01  9.6232244E+00  6.3875429E-01  6.9897947E-01  3.2446953E-01  2.6513217E-01  1.3871386E-01  0.0000000E+00  2.2051938E-02
  0.0000000E+00  1.5676726E-01  2.8178341E-01  3.4062982E-01  5.4481874E-01  5.6143241E-01  9.8641711E+00  6.5498151E-01  7.1639271E-01  3.4057265E-01  2.8178341E-01  1.5676726E-01  0.0000000E+00  2.3258895E-02
  0.0000000E+00  1.7418671E-01  2.9786451E-01  3.5618656E-01  5.5871106E-01  5.7557449E-01  1.0086405E+01  6.7065454E-01  7.3321322E-01  3.5612992E-01  2.9786451E-01  1.7418671E-01  0.0000000E+00  2.4467823E-02
  0.0000000E+00  1.9099404E-01  3.1339219E-01  3.7121229E-01  5.7213425E-01  5.8923659E-01  1.0291527E+01  6.8578853E-01  7.4945844E-01  3.7115616E-01  3.1339219E-01  1.9099404E-01  0.0000000E+00  2.5678732E-02
  0.0000000E+00  2.0721167E-01  3.2838434E-01  3.8572324E-01  5.8510030E-01  6.0243139E-01  1.0480976E+01  7.0040003E-01  7.6514702E-01  3.8566763E-01  3.2838434E-01  2.0721167E-01  0.0000000E+00  2.6891630E-02
  0.0000000E+00  2.2286222E-01  3.4285955E-01  3.9973651E-01  5.9762244E-01  6.1517281E-01  1.0656049E+01  7.1450645E-01  7.8029831E-01  3.9968141E-01  3.4285955E-01  2.2286222E-01  0.0000000E+00  2.8106528E-02
  0.0000000E+00  2.3796816E-01  3.5683667E-01  4.1326961E-01  6.0971474E-01  6.2747549E-01  1.0817915E+01  7.2812563E-01  7.9493189E-01  4.1321503E-01  3.5683667E-01  2.3796816E-01  0.0000000E+00  2.9323434E-02
  0.0000000E+00  2.5255155E-01  3.7033453E-01  4.2634019E-01  6.2139167E-01  6.3935447E-01  1.0967632E+01  7.4127548E-01  8.0906733E-01  4.2628610E-01  3.7033453E-01  2.5255155E-01  0.0000000E+00  3.0542357E-02
  0.0000000E+00  2.6663394E-01  3.8337174E-01  4.3896574E-01  6.3266790E-01  6.5082489E-01  1.1106158E+01  7.5397383E-01  8.2272394E-01  4.3891216E-01  3.8337174E-01  2.6663394E-01  0.0000000E+00  3.1763308E-02
  0.0000000E+00  2.8023619E-01  3.9596651E-01  4.5116352E-01  6.4355805E-01  6.6190185E-01  1.1234359E+01  7.6623820E-01  8.3592064E-01  4.5111043E-01  3.9596651E-01  2.8023619E-01  0.0000000E+00  3.2986295E-02
  0.0000000E+00  2.9337844E-01  4.0813657E-01  4.6295037E-01  6.5407660E-01  6.7260022E-01  1.1353025E+01  7.7808569E-01  8.4867583E-01  4.6289777E-01  4.0813657E-01  2.9337844E-01  0.0000000E+00  3.4211328E-02
  0.0000000E+00  3.0608004E-01  4.1989911E-01  4.7434264E-01  6.6423771E-01  6.8293456E-01  1.1462872E+01  7.8953294E-01  8.6100731E-01  4.7429052E-01  4.1989911E-01  3.0608004E-01  0.0000000E+00  3.5438418E-02
  0.0000000E+00  3.1835957E-01  4.3127070E-01  4.8535617E-01  6.7405520E-01  6.9291904E-01  1.1564552E+01  8.0059602E-01  8.7293230E-01  4.8530452E-01  4.3127070E-01  3.1835957E-01  0.0000000E+00  3.6667572E-02
  7.8453289E-03  3.3023438E-01  4.4226670E-01  4.9600889E-01  6.8354482E-01  7.0256977E-01  1.1644590E+01  8.1129313E-01  8.8447026E-01  4.9595772E-01  4.4226670E-01  3.3023438E-01  7.8453289E-03  3.7894813E-02
  2.2474613E-02  3.4171590E-01  4.5289543E-01  5.0630773E-01  6.9270987E-01  7.1189063E-01  1.1705631E+01  8.2163147E-01  8.9563073E-01  5.0625702E-01  4.5289543E-01  3.4171590E-01  2.2474613E-02  3.9121104E-02
  3.6626519E-02  3.5281912E-01  4.6317023E-01  5.1626239E-01  7.0155843E-01  7.2088996E-01  1.1761224E+01  8.3162093E-01  9.0642456E-01  5.1621214E-01  4.6317023E-01  3.5281912E-01  3.6626519E-02  4.0350293E-02
  5.0321970E-02  3.6355968E-01  4.7310551E-01  5.2588682E-01  7.1010322E-01  7.2958070E-01  1.1811748E+01  8.4127567E-01  9.1686657E-01  5.2583704E-01  4.7310551E-01  3.6355968E-01  5.0321970E-02  4.1582398E-02
  6.3580749E-02  3.7395247E-01  4.8271503E-01  5.3519438E-01  7.1835644E-01  7.3797527E-01  1.1857554E+01  8.5060918E-01  9.2697094E-01  5.3514505E-01  4.8271503E-01  3.7395247E-01  6.3580749E-02  4.2817439E-02
  7.6421574E-02  3.8401169E-01  4.9201192E-01  5.4419779E-01  7.2632972E-01  7.4608549E-01  1.1898963E+01  8.5963437E-01  9.3675116E-01  5.4414890E-01  4.9201192E-01  3.8401169E-01  7.6421574E-02  4.4055434E-02
  8.8862156E-02  3.9375084E-01  5.0100870E-01  5.5290920E-01  7.3403422E-01  7.5392269E-01  1.1936274E+01  8.6836354E-01  9.4622013E-01  5.5286076E-01  5.0100870E-01  3.9375084E-01  8.8862156E-02  4.5296401E-02
  1.0091927E-01  4.0318276E-01  5.0971730E-01  5.6134020E-01  7.4148056E-01  7.6149769E-01  1.1969763E+01  8.7680843E-01  9.5539014E-01  5.6129220E-01  5.0971730E-01  4.0318276E-01  1.0091927E-01  4.6540361E-02
  1.1260879E-01  4.1231970E-01  5.1814911E-01  5.6950185E-01  7.4867893E-01  7.6882081E-01  1.1999683E+01  8.8498024E-01  9.6427292E-01  5.6945428E-01  5.1814911E-01  4.1231970E-01  1.1260879E-01  4.7787331E-02
  1.2394579E-01  4.2117331E-01  5.2631497E-01  5.7740470E-01  7.5563902E-01  7.7590192E-01  1.2026270E+01  8.9288967E-01  9.7287964E-01  5.7735756E-01  5.2631497E-01  4.2117331E-01  1.2394579E-01  4.9037333E-02
  1.3494455E-01  4.2975468E-01  5.3422521E-01  5.8505881E-01  7.6237010E-01  7.8275042E-01  1.2049742E+01  9.0054689E-01  9.8122099E-01  5.8501210E-01  5.3422521E-01  4.2975468E-01  1.3494455E-01  5.0290385E-02
  1.4561860E-01  4.3807440E-01  5.4188972E-01  5.9247377E-01  7.6888103E-01  7.8937530E-01  1.2070303E+01  9.0796165E-01  9.8930712E-01  5.9242748E-01  5.4188972E-01  4.3807440E-01  1.4561860E-01  5.1546508E-02
  1.5598082E-01  4.4614251E-01  5.4931789E-01  5.9965874E-01  7.7518025E-01  7.9578514E-01  1.2088139E+01  9.1514321E-01  9.9714776E-01  5.9961287E-01  5.4931789E-01  4.4614251E-01  1.5598082E-01  5.2805721E-02
  1.6604340E-01  4.5396863E-01  5.5651868E-01  6.0662246E-01  7.8127584E-01  8.0198813E-01  1.2103425E+01  9.2210043E-01  1.0047521E+00  6.0657700E-01  5.5651868E-01  4.5396863E-01  1.6604340E-01  5.4068045E-02
  1.7581796E-01  4.6156189E-01  5.6350066E-01  6.1337326E-01  7.8717550E-01  8.0799209E-01  1.2116323E+01  9.2884176E-01  1.0121291E+00  6.1332821E-01  5.6350066E-01  4.6156189E-01  1.7581796E-01  5.5333500E-02
  1.8531553E-01  4.6893102E-01  5.7027200E-01  6.1991909E-01  7.9288659E-01  8.1380449E-01  1.2126985E+01  9.3537526E-01  1.0192871E+00  6.1987445E-01  5.7027200E-01  4.6893102E-01  1.8531553E-01  5.6602108E-02
  1.9454660E-01  4.7608434E-01  5.7684048E-01  6.2626756E-01  7.9841614E-01  8.1943245E-01  1.2135551E+01  9.4170863E-01  1.0262342E+00  6.2622332E-01  5.7684048E-01  4.7608434E-01  1.9454660E-01  5.7873888E-02
  2.0352116E-01  4.8302977E-01  5.8321355E-01  6.3242592E-01  8.0377087E-01  8.2488280E-01  1.2142151E+01  9.4784922E-01  1.0329781E+00  6.3238208E-01  5.8321355E-01  4.8302977E-01  2.0352116E-01  5.9148863E-02
  2.1224871E-01  4.8977490E-01  5.8939832E-01  6.3840110E-01  8.0895720E-01  8.3016205E-01  1.2146909E+01  9.5380407E-01  1.0395260E+00  6.3835765E-01  5.8939832E-01  4.8977490E-01  2.1224871E-01  6.0427053E-02
  2.2073831E-01  4.9632695E-01  5.9540156E-01  6.4419972E-01  8.1398126E-01  8.3527642E-01  1.2149938E+01  9.5957988E-01  1.0458852E+00  6.4415666E-01  5.9540156E-01  4.9632695E-01  2.2073831E-01  6.1708481E-02
  2.2899860E-01  5.0269283E-01  6.0122978E-01  6.4982811E-01  8.1884894E-01  8.4023187E-01  1.2151344E+01  9.6518307E-01  1.0520621E+00  6.4978543E-01  6.0122978E-01  5.0269283E-01  2.2899860E-01  6.2993168E-02
  2.3703780E-01  5.0887914E-01  6.0688916E-01  6.5529232E-01  8.2356583E-01  8.4503408E-01  1.2151227E+01  9.7061977E-01  1.0580634E+00  6.5525002E-01  6.0688916E-01  5.0887914E-01  2.3703780E-01  6.4281136E-02
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.9094654E-02  2.7069414E-01  2.8415447E-01  2.3346934E+00  3.5885367E-01  4.0474223E-01  4.9028800E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.9177768E-03
  0.0000000E+00  0.0000000E+00  2.7963062E-03  6.4764464E-02  2.8247140E-01  2.9669130E-01  3.0705205E+00  3.7560564E-01  4.2433512E-01  6.4697059E-02  2.7963062E-03  0.0000000E+00  0.0000000E+00  6.5795690E-03
  0.0000000E+00  0.0000000E+00  2.1069776E-02  8.1804135E-02  2.9564115E-01  3.1054373E-01  3.7114875E+00  3.9328596E-01  4.4464389E-01  8.1737670E-02  2.1069776E-02  0.0000000E+00  0.0000000E+00  7.6352228E-03
  0.0000000E+00  0.0000000E+00  3.9628918E-02  9.9246822E-02  3.0954183E-01  3.2506400E-01  4.2857520E+00  4.1131634E-01  4.6512514E-01  9.9181315E-02  3.9628918E-02  0.0000000E+00  0.0000000E+00  8.6923701E-03
  0.0000000E+00  0.0000000E+00  5.8122390E-02  1.1672184E-01  3.2375271E-01  3.3984052E-01  4.8006492E+00  4.2932975E-01  4.8543337E-01  1.1665729E-01  5.8122390E-02  0.0000000E+00  0.0000000E+00  9.7510171E-03
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  0.0000000E+00  1.2381339E-01  2.2834328E-01  2.7938146E-01  4.6117883E-01  4.8138167E-01  7.8435567E+00  5.9563553E-01  6.7045309E-01  2.7932680E-01  2.2834328E-01  1.2381339E-01  0.0000000E+00  2.1496611E-02
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  0.0000000E+00  1.7397283E-01  2.7399914E-01  3.2319266E-01  4.9856012E-01  5.1971335E-01  8.3275629E+00  6.4010234E-01  7.1990113E-01  3.2314116E-01  2.7399914E-01  1.7397283E-01  0.0000000E+00  2.5818459E-02
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  5.8201162E-03  2.5307928E-01  3.4598354E-01  3.9224321E-01  5.5712964E-01  5.7972038E-01  8.8648184E+00  7.0984628E-01  7.9788144E-01  3.9219735E-01  3.4598354E-01  2.5307928E-01  5.8201162E-03  3.4544362E-02
  1.6645563E-02  2.6136314E-01  3.5350680E-01  3.9945758E-01  5.6320180E-01  5.8593991E-01  8.8869755E+00  7.1710351E-01  8.0604275E-01  3.9941238E-01  3.5350680E-01  2.6136314E-01  1.6645563E-02  3.5637338E-02
  2.7083575E-02  2.6934058E-01  3.6074574E-01  4.0639678E-01  5.6902782E-01  5.9190767E-01  8.9056029E+00  7.2407767E-01  8.1389892E-01  4.0635222E-01  3.6074574E-01  2.6934058E-01  2.7083575E-02  3.6732880E-02
  3.7152625E-02  2.7702573E-01  3.6771339E-01  4.1307340E-01  5.7461896E-01  5.9763518E-01  8.9209815E+00  7.3078172E-01  8.2146382E-01  4.1302947E-01  3.6771339E-01  2.7702573E-01  3.7152625E-02  3.7831003E-02
  4.6870079E-02  2.8443195E-01  3.7442204E-01  4.1949934E-01  5.7998588E-01  6.0313338E-01  8.9333678E+00  7.3722795E-01  8.2875057E-01  4.1945603E-01  3.7442204E-01  2.8443195E-01  4.6870079E-02  3.8931724E-02
  5.6252281E-02  2.9157183E-01  3.8088335E-01  4.2568587E-01  5.8513872E-01  6.0841262E-01  8.9429964E+00  7.4342799E-01  8.3577162E-01  4.2564317E-01  3.8088335E-01  2.9157183E-01  5.6252281E-02  4.0035059E-02
  6.5314615E-02  2.9845731E-01  3.8710834E-01  4.3164367E-01  5.9008707E-01  6.1348273E-01  8.9500821E+00  7.4939282E-01  8.4253871E-01  4.3160158E-01  3.8710834E-01  2.9845731E-01  6.5314615E-02  4.1141023E-02
  7.4071575E-02  3.0509966E-01  3.9310745E-01  4.3738286E-01  5.9484001E-01  6.1835302E-01  8.9548219E+00  7.5513289E-01  8.4906300E-01  4.3734137E-01  3.9310745E-01  3.0509966E-01  7.4071575E-02  4.2249634E-02
  8.2536826E-02  3.1150954E-01  3.9889055E-01  4.4291301E-01  5.9940618E-01  6.2303230E-01  8.9573965E+00  7.6065805E-01  8.5535501E-01  4.4287210E-01  3.9889055E-01  3.1150954E-01  8.2536826E-02  4.3360909E-02
  9.0723259E-02  3.1769706E-01  4.0446701E-01  4.4824319E-01  6.0379376E-01  6.2752894E-01  8.9579719E+00  7.6597766E-01  8.6142475E-01  4.4820286E-01  4.0446701E-01  3.1769706E-01  9.0723259E-02  4.4474864E-02
  9.8643044E-02  3.2367176E-01  4.0984570E-01  4.5338202E-01  6.0801050E-01  6.3185088E-01  8.9567007E+00  7.7110058E-01  8.6728168E-01  4.5334226E-01  4.0984570E-01  3.2367176E-01  9.8643044E-02  4.5591517E-02
  1.0630768E-01  3.2944270E-01  4.1503502E-01  4.5833764E-01  6.1206377E-01  6.3600563E-01  8.9537235E+00  7.7603521E-01  8.7293479E-01  4.5829844E-01  4.1503502E-01  3.2944270E-01  1.0630768E-01  4.6710884E-02
  1.1372803E-01  3.3501846E-01  4.2004295E-01  4.6311778E-01  6.1596054E-01  6.4000034E-01  8.9491695E+00  7.8078952E-01  8.7839258E-01  4.6307914E-01  4.2004295E-01  3.3501846E-01  1.1372803E-01  4.7832984E-02
  1.2091437E-01  3.4040717E-01  4.2487704E-01  4.6772980E-01  6.1970746E-01  6.4384178E-01  8.9431583E+00  7.8537107E-01  8.8366314E-01  4.6769170E-01  4.2487704E-01  3.4040717E-01  1.2091437E-01  4.8957833E-02
  1.2787644E-01  3.4561653E-01  4.2954447E-01  4.7218066E-01  6.2331081E-01  6.4753639E-01  8.9357998E+00  7.8978703E-01  8.8875414E-01  4.7214310E-01  4.2954447E-01  3.4561653E-01  1.2787644E-01  5.0085450E-02
  1.3462345E-01  3.5065388E-01  4.3405207E-01  4.7647697E-01  6.2677659E-01  6.5109027E-01  8.9271958E+00  7.9404422E-01  8.9367287E-01  4.7643994E-01  4.3405207E-01  3.5065388E-01  1.3462345E-01  5.1215852E-02
  1.4116414E-01  3.5552616E-01  4.3840629E-01  4.8062502E-01  6.3011047E-01  6.5450924E-01  8.9174405E+00  7.9814912E-01  8.9842624E-01  4.8058851E-01  4.3840629E-01  3.5552616E-01  1.4116414E-01  5.2349057E-02
  1.4750677E-01  3.6023997E-01  4.4261329E-01  4.8463079E-01  6.3331786E-01  6.5779881E-01  8.9066206E+00  8.0210786E-01  9.0302084E-01  4.8459479E-01  4.4261329E-01  3.6023997E-01  1.4750677E-01  5.3485085E-02
  1.5365922E-01  3.6480158E-01  4.4667892E-01  4.8849994E-01  6.3640390E-01  6.6096423E-01  8.8948167E+00  8.0592631E-01  9.0746291E-01  4.8846446E-01  4.4667892E-01  3.6480158E-01  1.5365922E-01  5.4623953E-02
  1.5962894E-01  3.6921696E-01  4.5060874E-01  4.9223790E-01  6.3937348E-01  6.6401049E-01  8.8821036E+00  8.0961002E-01  9.1175842E-01  4.9220291E-01  4.5060874E-01  3.6921696E-01  1.5962894E-01  5.5765681E-02
  1.6542303E-01  3.7349178E-01  4.5440803E-01  4.9584979E-01  6.4223126E-01  6.6694234E-01  8.8685502E+00  8.1316428E-01  9.1591303E-01  4.9581530E-01  4.5440803E-01  3.7349178E-01  1.6542303E-01  5.6910286E-02
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.1471482E-02  2.3360661E-01  2.5008643E-01  1.5448800E+00  3.3991244E-01  3.9353686E-01  3.1412906E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.7274398E-03
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  0.0000000E+00  0.0000000E+00  3.4085971E-02  8.5867150E-02  2.7325964E-01  2.9302678E-01  3.7392348E+00  4.0123490E-01  4.6824150E-01  8.5802453E-02  3.4085971E-02  0.0000000E+00  0.0000000E+00  8.6317698E-03
  0.0000000E+00  0.0000000E+00  4.9481308E-02  1.0029898E-01  2.8431452E-01  3.0468780E-01  4.1209493E+00  4.1646956E-01  4.8620161E-01  1.0023593E-01  4.9481308E-02  0.0000000E+00  0.0000000E+00  9.5664848E-03
  0.0000000E+00  0.0000000E+00  6.4391992E-02  1.1432531E-01  2.9522025E-01  3.1614077E-01  4.4569072E+00  4.3120806E-01  5.0348340E-01  1.1426384E-01  6.4391992E-02  0.0000000E+00  0.0000000E+00  1.0502519E-02
  0.0000000E+00  0.0000000E+00  7.8745577E-02  1.2786242E-01  3.0585857E-01  3.2727580E-01  4.7533766E+00  4.4537792E-01  5.2003533E-01  1.2780249E-01  7.8745577E-02  0.0000000E+00  0.0000000E+00  1.1439877E-02
  0.0000000E+00  0.0000000E+00  9.2507787E-02  1.4086700E-01  3.1615816E-01  3.3802836E-01  5.0156582E+00  4.5894526E-01  5.3584111E-01  1.4080855E-01  9.2507787E-02  0.0000000E+00  0.0000000E+00  1.2378566E-02
  0.0000000E+00  1.0464511E-02  1.0566657E-01  1.5331929E-01  3.2607321E-01  3.4835867E-01  5.2310808E+00  4.7189894E-01  5.5090693E-01  1.5326227E-01  1.0566657E-01  1.0464511E-02  0.0000000E+00  1.3318172E-02
  0.0000000E+00  2.4587394E-02  1.1822208E-01  1.6521112E-01  3.3556933E-01  3.5823800E-01  5.4150752E+00  4.8423883E-01  5.6525126E-01  1.6515549E-01  1.1822208E-01  2.4587394E-02  0.0000000E+00  1.4259070E-02
  0.0000000E+00  3.8026979E-02  1.3018922E-01  1.7655262E-01  3.4464218E-01  3.6766555E-01  5.5778669E+00  4.9598035E-01  5.7889908E-01  1.7649833E-01  1.3018922E-01  3.8026979E-02  0.0000000E+00  1.5201458E-02
  0.0000000E+00  5.0813594E-02  1.4158846E-01  1.8736050E-01  3.5329648E-01  3.7664896E-01  5.7219969E+00  5.0714473E-01  5.9187968E-01  1.8730752E-01  1.4158846E-01  5.0813594E-02  0.0000000E+00  1.6145341E-02
  0.0000000E+00  6.2979176E-02  1.5244331E-01  1.9765500E-01  3.6154210E-01  3.8520064E-01  5.8496555E+00  5.1775623E-01  6.0422442E-01  1.9760329E-01  1.5244331E-01  6.2979176E-02  0.0000000E+00  1.7090726E-02
  0.0000000E+00  7.4556027E-02  1.6277879E-01  2.0745834E-01  3.6939220E-01  3.9333596E-01  5.9627358E+00  5.2784061E-01  6.1596539E-01  2.0740786E-01  1.6277879E-01  7.4556027E-02  0.0000000E+00  1.8037620E-02
  0.0000000E+00  8.5576018E-02  1.7262047E-01  2.1679363E-01  3.7686192E-01  4.0107199E-01  6.0628797E+00  5.3742412E-01  6.2713446E-01  2.1674435E-01  1.7262047E-01  8.5576018E-02  0.0000000E+00  1.8986029E-02
  0.0000000E+00  9.6070068E-02  1.8199375E-01  2.2568412E-01  3.8396751E-01  4.0842667E-01  6.1515149E+00  5.4653281E-01  6.3776275E-01  2.2563601E-01  1.8199375E-01  9.6070068E-02  0.0000000E+00  1.9935960E-02
  0.0000000E+00  1.0606784E-01  1.9092345E-01  2.3415274E-01  3.9072568E-01  4.1541820E-01  6.2298876E+00  5.5519212E-01  6.4788023E-01  2.3410576E-01  1.9092345E-01  1.0606784E-01  0.0000000E+00  2.0887420E-02
  0.0000000E+00  1.1559757E-01  1.9943353E-01  2.4222176E-01  3.9715318E-01  4.2206464E-01  6.2990879E+00  5.6342655E-01  6.5751552E-01  2.4217588E-01  1.9943353E-01  1.1559757E-01  0.0000000E+00  2.1840414E-02
  0.0000000E+00  1.2468598E-01  2.0754692E-01  2.4991261E-01  4.0326650E-01  4.2838364E-01  6.3600730E+00  5.7125957E-01  6.6669580E-01  2.4986780E-01  2.0754692E-01  1.2468598E-01  0.0000000E+00  2.2794951E-02
  0.0000000E+00  1.3335825E-01  2.1528542E-01  2.5724578E-01  4.0908166E-01  4.3439230E-01  6.4136850E+00  5.7871346E-01  6.7544671E-01  2.5720202E-01  2.1528542E-01  1.3335825E-01  0.0000000E+00  2.3751036E-02
  0.0000000E+00  1.4163804E-01  2.2266969E-01  2.6424071E-01  4.1461412E-01  4.4010699E-01  6.4606675E+00  5.8580932E-01  6.8379244E-01  2.6419797E-01  2.2266969E-01  1.4163804E-01  0.0000000E+00  2.4708677E-02
  0.0000000E+00  1.4954758E-01  2.2971923E-01  2.7091583E-01  4.1987868E-01  4.4554335E-01  6.5016782E+00  5.9256705E-01  6.9175569E-01  2.7087407E-01  2.2971923E-01  1.4954758E-01  0.0000000E+00  2.5667881E-02
  0.0000000E+00  1.5710764E-01  2.3645239E-01  2.7728850E-01  4.2488943E-01  4.5071625E-01  6.5373007E+00  5.9900538E-01  6.9935777E-01  2.7724772E-01  2.3645239E-01  1.5710764E-01  0.0000000E+00  2.6628654E-02
  0.0000000E+00  1.6433770E-01  2.4288642E-01  2.8337512E-01  4.2965978E-01  4.5563975E-01  6.5680538E+00  6.0514193E-01  7.0661864E-01  2.8333527E-01  2.4288642E-01  1.6433770E-01  0.0000000E+00  2.7591004E-02
  0.0000000E+00  1.7125597E-01  2.4903755E-01  2.8919108E-01  4.3420239E-01  4.6032715E-01  6.5944002E+00  6.1099320E-01  7.1355700E-01  2.8915215E-01  2.4903755E-01  1.7125597E-01  0.0000000E+00  2.8554937E-02
  0.0000000E+00  1.7787945E-01  2.5492096E-01  2.9475085E-01  4.3852925E-01  4.6479101E-01  6.6167530E+00  6.1657471E-01  7.2019035E-01  2.9471282E-01  2.5492096E-01  1.7787945E-01  0.0000000E+00  2.9520461E-02
  0.0000000E+00  1.8422409E-01  2.6055093E-01  3.0006803E-01  4.4265168E-01  4.6904314E-01  6.6354819E+00  6.2190098E-01  7.2653507E-01  3.0003088E-01  2.6055093E-01  1.8422409E-01  0.0000000E+00  3.0487583E-02
  4.2321461E-03  1.9030441E-01  2.6594034E-01  3.0515739E-01  4.4658197E-01  4.7309636E-01  6.6428735E+00  6.2698763E-01  7.3260881E-01  3.0512110E-01  2.6594034E-01  1.9030441E-01  4.2321461E-03  3.1452991E-02
  1.2082831E-02  1.9613073E-01  2.7109696E-01  3.1002547E-01  4.5032288E-01  4.7695402E-01  6.6404687E+00  6.3184197E-01  7.3842203E-01  3.0999003E-01  2.7109696E-01  1.9613073E-01  1.2082831E-02  3.2417454E-02
  1.9626239E-02  2.0171530E-01  2.7603172E-01  3.1468033E-01  4.5388063E-01  4.8062272E-01  6.6360058E+00  6.3647270E-01  7.4398492E-01  3.1464571E-01  2.7603172E-01  2.0171530E-01  1.9626239E-02  3.3384162E-02
  2.6878207E-02  2.0707042E-01  2.8075590E-01  3.1913282E-01  4.5726466E-01  4.8411222E-01  6.6296792E+00  6.4089129E-01  7.4931013E-01  3.1909900E-01  2.8075590E-01  2.0707042E-01  2.6878207E-02  3.4353130E-02
  3.3853543E-02  2.1220761E-01  2.8528009E-01  3.2339315E-01  4.6048388E-01  4.8743173E-01  6.6216650E+00  6.4510851E-01  7.5440952E-01  3.2336012E-01  2.8528009E-01  2.1220761E-01  3.3853543E-02  3.5324372E-02
  4.0566110E-02  2.1713771E-01  2.8961424E-01  3.2747091E-01  4.6354663E-01  4.9058989E-01  6.6121225E+00  6.4913450E-01  7.5929425E-01  3.2743866E-01  2.8961424E-01  2.1713771E-01  4.0566110E-02  3.6297902E-02
  4.7028893E-02  2.2187089E-01  2.9376769E-01  3.3137513E-01  4.6646080E-01  4.9359481E-01  6.6011964E+00  6.5297877E-01  7.6397479E-01  3.3134364E-01  2.9376769E-01  2.2187089E-01  4.7028893E-02  3.7273732E-02
  5.3254069E-02  2.2641670E-01  2.9774924E-01  3.3511427E-01  4.6923379E-01  4.9645415E-01  6.5890179E+00  6.5665026E-01  7.6846099E-01  3.3508353E-01  2.9774924E-01  2.2641670E-01  5.3254069E-02  3.8251879E-02
  5.9253066E-02  2.3078412E-01  3.0156717E-01  3.3869634E-01  4.7187258E-01  4.9917512E-01  6.5757062E+00  6.6015740E-01  7.7276215E-01  3.3866633E-01  3.0156717E-01  2.3078412E-01  5.9253066E-02  3.9232356E-02
  6.5036617E-02  2.3498162E-01  3.0522927E-01  3.4212885E-01  4.7438373E-01  5.0176447E-01  6.5613697E+00  6.6350811E-01  7.7688698E-01  3.4209956E-01  3.0522927E-01  2.3498162E-01  6.5036617E-02  4.0215178E-02
  7.0614810E-02  2.3901715E-01  3.0874288E-01  3.4541888E-01  4.7677345E-01  5.0422862E-01  6.5461074E+00  6.6670985E-01  7.8084373E-01  3.4539030E-01  3.0874288E-01  2.3901715E-01  7.0614810E-02  4.1200359E-02
  7.5997137E-02  2.4289823E-01  3.1211492E-01  3.4857312E-01  4.7904758E-01  5.0657357E-01  6.5300091E+00  6.6976966E-01  7.8464015E-01  3.4854523E-01  3.1211492E-01  2.4289823E-01  7.5997137E-02  4.2187914E-02
  8.1192535E-02  2.4663193E-01  3.1535191E-01  3.5159787E-01  4.8121162E-01  5.0880502E-01  6.5131571E+00  6.7269419E-01  7.8828357E-01  3.5157067E-01  3.1535191E-01  2.4663193E-01  8.1192535E-02  4.3177858E-02
  8.6209424E-02  2.5022493E-01  3.1846003E-01  3.5449908E-01  4.8327077E-01  5.1092832E-01  6.4956262E+00  6.7548968E-01  7.9178089E-01  3.5447254E-01  3.1846003E-01  2.5022493E-01  8.6209424E-02  4.4170206E-02
  9.1055743E-02  2.5368352E-01  3.2144508E-01  3.5728236E-01  4.8522996E-01  5.1294853E-01  6.4774850E+00  6.7816205E-01  7.9513865E-01  3.5725648E-01  3.2144508E-01  2.5368352E-01  9.1055743E-02  4.5164973E-02
  9.5738985E-02  2.5701367E-01  3.2431257E-01  3.5995303E-01  4.8709381E-01  5.1487043E-01  6.4587961E+00  6.8071689E-01  7.9836302E-01  3.5992779E-01  3.2431257E-01  2.5701367E-01  9.5738985E-02  4.6162175E-02
  1.0026623E-01  2.6022100E-01  3.2706768E-01  3.6251609E-01  4.8886672E-01  5.1669855E-01  6.4396167E+00  6.8315948E-01  8.0145984E-01  3.6249149E-01  3.2706768E-01  2.6022100E-01  1.0026623E-01  4.7161828E-02
  1.0464415E-01  2.6331083E-01  3.2971534E-01  3.6497630E-01  4.9055285E-01  5.1843715E-01  6.4199994E+00  6.8549481E-01  8.0443462E-01  3.6495233E-01  3.2971534E-01  2.6331083E-01  1.0464415E-01  4.8163946E-02
  1.0887909E-01  2.6628820E-01  3.3226020E-01  3.6733816E-01  4.9215610E-01  5.2009029E-01  6.3999921E+00  6.8772760E-01  8.0729261E-01  3.6731480E-01  3.3226020E-01  2.6628820E-01  1.0887909E-01  4.9168546E-02
  1.1297701E-01  2.6915788E-01  3.3470666E-01  3.6960591E-01  4.9368021E-01  5.2166180E-01  6.3796388E+00  6.8986234E-01  8.1003874E-01  3.6958316E-01  3.3470666E-01  2.6915788E-01  1.1297701E-01  5.0175644E-02
  1.1694360E-01  2.7192440E-01  3.3705891E-01  3.7178360E-01  4.9512869E-01  5.2315528E-01  6.3589799E+00  6.9190326E-01  8.1267773E-01  3.7176145E-01  3.3705891E-01  2.7192440E-01  1.1694360E-01  5.1185256E-02
  1.2078421E-01  2.7459203E-01  3.3932090E-01  3.7387504E-01  4.9650489E-01  5.2457419E-01  6.3380525E+00  6.9385437E-01  8.1521403E-01  3.7385347E-01  3.3932090E-01  2.7459203E-01  1.2078421E-01  5.2197398E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.6224660E-02  2.0473564E-01  2.2659961E-01  1.5476950E+00  3.4099876E-01  4.0911008E-01  2.6171900E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.1475823E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.6368381E-02  2.1151580E-01  2.3441478E-01  2.0843492E+00  3.5482539E-01  4.2753212E-01  3.6319681E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.5248154E-03
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  0.0000000E+00  0.0000000E+00  1.5655154E-02  6.0972078E-02  2.2763530E-01  2.5215343E-01  2.9061664E+00  3.8249418E-01  4.6304766E-01  6.0910390E-02  1.5655154E-02  0.0000000E+00  0.0000000E+00  7.8873264E-03
  0.0000000E+00  0.0000000E+00  2.8755545E-02  7.3070995E-02  2.3598056E-01  2.6114780E-01  3.2213989E+00  3.9568691E-01  4.7966054E-01  7.3011889E-02  2.8755545E-02  0.0000000E+00  0.0000000E+00  8.7010135E-03
  0.0000000E+00  0.0000000E+00  4.1314306E-02  8.4718212E-02  2.4419497E-01  2.6993040E-01  3.4913351E+00  4.0826735E-01  4.9539129E-01  8.4661546E-02  4.1314306E-02  0.0000000E+00  0.0000000E+00  9.5158351E-03
  0.0000000E+00  0.0000000E+00  5.3274565E-02  9.5843069E-02  2.5216050E-01  2.7839667E-01  3.7232783E+00  4.2018920E-01  5.1022866E-01  9.5788715E-02  5.3274565E-02  0.0000000E+00  0.0000000E+00  1.0331795E-02
  0.0000000E+00  0.0000000E+00  6.4618596E-02  1.0641695E-01  2.5981081E-01  2.8649085E-01  3.9231816E+00  4.3144355E-01  5.2419249E-01  1.0636479E-01  6.4618596E-02  0.0000000E+00  0.0000000E+00  1.1148899E-02
  0.0000000E+00  0.0000000E+00  7.5351718E-02  1.1643643E-01  2.6711192E-01  2.9418744E-01  4.0959175E+00  4.4204309E-01  5.3731934E-01  1.1638635E-01  7.5351718E-02  0.0000000E+00  0.0000000E+00  1.1967150E-02
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  0.0000000E+00  1.9132898E-02  9.5056579E-02  1.3485322E-01  2.8059578E-01  3.0834508E-01  4.3429308E+00  4.6137251E-01  5.6124859E-01  1.3480703E-01  9.5056579E-02  1.9132898E-02  0.0000000E+00  1.3606243E-02
  0.0000000E+00  2.9452476E-02  1.0407863E-01  1.4328827E-01  2.8677283E-01  3.1481109E-01  4.4385061E+00  4.7016072E-01  5.7214562E-01  1.4324390E-01  1.0407863E-01  2.9452476E-02  0.0000000E+00  1.4427624E-02
  0.0000000E+00  3.9182400E-02  1.1258768E-01  1.5124313E-01  2.9259047E-01  3.2089068E-01  4.5204034E+00  4.7841004E-01  5.8239142E-01  1.5120052E-01  1.1258768E-01  3.9182400E-02  0.0000000E+00  1.5250296E-02
  0.0000000E+00  4.8361113E-02  1.2061448E-01  1.5874544E-01  2.9806509E-01  3.2660327E-01  4.5904233E+00  4.8615437E-01  5.9202933E-01  1.5870451E-01  1.2061448E-01  4.8361113E-02  0.0000000E+00  1.6074265E-02
  0.0000000E+00  5.7025188E-02  1.2818899E-01  1.6582243E-01  3.0321419E-01  3.3196891E-01  4.6500961E+00  4.9342638E-01  6.0110037E-01  1.6578312E-01  1.2818899E-01  5.7025188E-02  0.0000000E+00  1.6899536E-02
  0.0000000E+00  6.5209077E-02  1.3533992E-01  1.7250044E-01  3.0805555E-01  3.3700762E-01  4.7007286E+00  5.0025714E-01  6.0964305E-01  1.7246269E-01  1.3533992E-01  6.5209077E-02  0.0000000E+00  1.7726116E-02
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  0.0000000E+00  8.0262942E-02  1.4847829E-01  1.8475871E-01  3.1688509E-01  3.4618177E-01  4.7791950E+00  5.1271032E-01  6.2528437E-01  1.8472392E-01  1.4847829E-01  8.0262942E-02  0.0000000E+00  1.9383220E-02
  0.0000000E+00  8.7190755E-02  1.5451530E-01  1.9038509E-01  3.2090683E-01  3.5035394E-01  4.8088244E+00  5.1838576E-01  6.3244726E-01  1.9035170E-01  1.5451530E-01  8.7190755E-02  0.0000000E+00  2.0213756E-02
  0.0000000E+00  9.3754214E-02  1.6022785E-01  1.9570465E-01  3.2468768E-01  3.5427242E-01  4.8330494E+00  5.2372608E-01  6.3921049E-01  1.9567261E-01  1.6022785E-01  9.3754214E-02  0.0000000E+00  2.1045623E-02
  0.0000000E+00  9.9977170E-02  1.6563676E-01  2.0073690E-01  3.2824243E-01  3.5795314E-01  4.8524968E+00  5.2875337E-01  6.4560047E-01  2.0070617E-01  1.6563676E-01  9.9977170E-02  0.0000000E+00  2.1878826E-02
  0.0000000E+00  1.0588167E-01  1.7076133E-01  2.0550001E-01  3.3158501E-01  3.6141106E-01  4.8677130E+00  5.3348807E-01  6.5164155E-01  2.0547055E-01  1.7076133E-01  1.0588167E-01  0.0000000E+00  2.2713371E-02
  0.0000000E+00  1.1148808E-01  1.7561948E-01  2.1001087E-01  3.3472847E-01  3.6466013E-01  4.8791759E+00  5.3794912E-01  6.5735624E-01  2.0998264E-01  1.7561948E-01  1.1148808E-01  0.0000000E+00  2.3549264E-02
  0.0000000E+00  1.1681523E-01  1.8022786E-01  2.1428516E-01  3.3768505E-01  3.6771341E-01  4.8873049E+00  5.4215405E-01  6.6276532E-01  2.1425812E-01  1.8022786E-01  1.1681523E-01  0.0000000E+00  2.4386510E-02
  0.0000000E+00  1.2188053E-01  1.8460186E-01  2.1833746E-01  3.4046617E-01  3.7058302E-01  4.8924684E+00  5.4611909E-01  6.6788800E-01  2.1831157E-01  1.8460186E-01  1.2188053E-01  0.0000000E+00  2.5225116E-02
  0.0000000E+00  1.2670008E-01  1.8875581E-01  2.2218128E-01  3.4308250E-01  3.7328029E-01  4.8949915E+00  5.4985927E-01  6.7274201E-01  2.2215652E-01  1.8875581E-01  1.2670008E-01  0.0000000E+00  2.6065087E-02
  0.0000000E+00  1.3128878E-01  1.9270295E-01  2.2582921E-01  3.4554398E-01  3.7581576E-01  4.8951612E+00  5.5338849E-01  6.7734378E-01  2.2580553E-01  1.9270295E-01  1.3128878E-01  0.0000000E+00  2.6906429E-02
  0.0000000E+00  1.3566043E-01  1.9645561E-01  2.2929289E-01  3.4785990E-01  3.7819923E-01  4.8932319E+00  5.5671967E-01  6.8170850E-01  2.2927027E-01  1.9645561E-01  1.3566043E-01  0.0000000E+00  2.7749149E-02
  3.0037547E-03  1.3982753E-01  2.0002476E-01  2.3258489E-01  3.5004026E-01  3.8044121E-01  4.8835082E+00  5.5986640E-01  6.8585223E-01  2.3256330E-01  2.0002476E-01  1.3982753E-01  3.0037547E-03  2.8590230E-02
  8.5597385E-03  1.4379909E-01  2.0341721E-01  2.3571084E-01  3.5208691E-01  3.8254403E-01  4.8671236E+00  5.6283506E-01  6.8978486E-01  2.3569025E-01  2.0341721E-01  1.4379909E-01  8.5597385E-03  2.9430350E-02
  1.3878362E-02  1.4758553E-01  2.0664219E-01  2.3867744E-01  3.5400464E-01  3.8451290E-01  4.8497586E+00  5.6563317E-01  6.9351575E-01  2.3865784E-01  2.0664219E-01  1.4758553E-01  1.3878362E-02  3.0272409E-02
  1.8972783E-02  1.5119717E-01  2.0970910E-01  2.4149370E-01  3.5580100E-01  3.8635565E-01  4.8315362E+00  5.6827054E-01  6.9705614E-01  2.4147505E-01  2.0970910E-01  1.5119717E-01  1.8972783E-02  3.1116419E-02
  2.3855243E-02  1.5464360E-01  2.1262669E-01  2.4416800E-01  3.5748298E-01  3.8807961E-01  4.8125661E+00  5.7075627E-01  7.0041650E-01  2.4415028E-01  2.1262669E-01  1.5464360E-01  2.3855243E-02  3.1962391E-02
  2.8537144E-02  1.5793379E-01  2.1540314E-01  2.4670817E-01  3.5905714E-01  3.8969161E-01  4.7929462E+00  5.7309888E-01  7.0360663E-01  2.4669136E-01  2.1540314E-01  1.5793379E-01  2.8537144E-02  3.2810337E-02
  3.3029118E-02  1.6107611E-01  2.1804607E-01  2.4912153E-01  3.6052959E-01  3.9119801E-01  4.7727644E+00  5.7530631E-01  7.0663565E-01  2.4910561E-01  2.1804607E-01  1.6107611E-01  3.3029118E-02  3.3660269E-02
  3.7341088E-02  1.6407837E-01  2.2056263E-01  2.5141491E-01  3.6190605E-01  3.9260477E-01  4.7520990E+00  5.7738597E-01  7.0951209E-01  2.5139985E-01  2.2056263E-01  1.6407837E-01  3.7341088E-02  3.4512199E-02
  4.1482327E-02  1.6694789E-01  2.2295948E-01  2.5359470E-01  3.6319187E-01  3.9391746E-01  4.7310204E+00  5.7934482E-01  7.1224396E-01  2.5358050E-01  2.2295948E-01  1.6694789E-01  4.1482327E-02  3.5366138E-02
  4.5461503E-02  1.6969150E-01  2.2524287E-01  2.5566690E-01  3.6439204E-01  3.9514128E-01  4.7095916E+00  5.8118932E-01  7.1483873E-01  2.5565353E-01  2.2524287E-01  1.6969150E-01  4.5461503E-02  3.6222101E-02
  4.9286733E-02  1.7231562E-01  2.2741865E-01  2.5763712E-01  3.6551126E-01  3.9628112E-01  4.6878692E+00  5.8292556E-01  7.1730342E-01  2.5762456E-01  2.2741865E-01  1.7231562E-01  4.9286733E-02  3.7080097E-02
  5.2965624E-02  1.7482626E-01  2.2949233E-01  2.5951061E-01  3.6655391E-01  3.9734153E-01  4.6659038E+00  5.8455923E-01  7.1964459E-01  2.5949884E-01  2.2949233E-01  1.7482626E-01  5.2965624E-02  3.7940141E-02
  5.6505306E-02  1.7722906E-01  2.3146903E-01  2.6129230E-01  3.6752410E-01  3.9832679E-01  4.6437411E+00  5.8609566E-01  7.2186841E-01  2.6128132E-01  2.3146903E-01  1.7722906E-01  5.6505306E-02  3.8802245E-02
  5.9912475E-02  1.7952932E-01  2.3335361E-01  2.6298684E-01  3.6842571E-01  3.9924092E-01  4.6214218E+00  5.8753987E-01  7.2398069E-01  2.6297662E-01  2.3335361E-01  1.7952932E-01  5.9912475E-02  3.9666421E-02
  6.3193420E-02  1.8173202E-01  2.3515060E-01  2.6459857E-01  3.6926236E-01  4.0008769E-01  4.5989828E+00  5.8889656E-01  7.2598688E-01  2.6458910E-01  2.3515060E-01  1.8173202E-01  6.3193420E-02  4.0532682E-02
  6.6354056E-02  1.8384184E-01  2.3686428E-01  2.6613159E-01  3.7003746E-01  4.0087064E-01  4.5764569E+00  5.9017015E-01  7.2789210E-01  2.6612285E-01  2.3686428E-01  1.8384184E-01  6.6354056E-02  4.1401042E-02
  6.9399947E-02  1.8586318E-01  2.3849868E-01  2.6758975E-01  3.7075420E-01  4.0159309E-01  4.5538739E+00  5.9136479E-01  7.2970118E-01  2.6758173E-01  2.3849868E-01  1.8586318E-01  6.9399947E-02  4.2271513E-02
  7.2336335E-02  1.8780019E-01  2.4005757E-01  2.6897668E-01  3.7141561E-01  4.0225817E-01  4.5312603E+00  5.9248441E-01  7.3141866E-01  2.6896936E-01  2.4005757E-01  1.8780019E-01  7.2336335E-02  4.3144109E-02
  7.5168159E-02  1.8965680E-01  2.4154453E-01  2.7029579E-01  3.7202451E-01  4.0286882E-01  4.5086400E+00  5.9353269E-01  7.3304884E-01  2.7028915E-01  2.4154453E-01  1.8965680E-01  7.5168159E-02  4.4018843E-02
  7.7900080E-02  1.9143668E-01  2.4296292E-01  2.7155030E-01  3.7258358E-01  4.0342782E-01  4.4860345E+00  5.9451309E-01  7.3459577E-01  2.7154435E-01  2.4296292E-01  1.9143668E-01  7.7900080E-02  4.4895728E-02
  8.0536495E-02  1.9314333E-01  2.4431593E-01  2.7274327E-01  3.7309534E-01  4.0393778E-01  4.4634629E+00  5.9542889E-01  7.3606325E-01  2.7273797E-01  2.4431593E-01  1.9314333E-01  8.0536495E-02  4.5774779E-02
  8.3081560E-02  1.9478003E-01  2.4560655E-01  2.7387755E-01  3.7356215E-01  4.0440115E-01  4.4409424E+00  5.9628319E-01  7.3745490E-01  2.7387290E-01  2.4560655E-01  1.9478003E-01  8.3081560E-02  4.6656008E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.1496530E-02  1.7440575E-01  2.0314905E-01  1.5131335E+00  3.4778651E-01  4.3503480E-01  2.1452165E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.6450581E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.0566415E-02  1.7973729E-01  2.0937240E-01  1.9208451E+00  3.6042589E-01  4.5303600E-01  3.0531055E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.9654290E-03
  0.0000000E+00  0.0000000E+00  1.8040488E-03  4.0932802E-02  1.8566370E-01  2.1601396E-01  2.2526998E+00  3.7258181E-01  4.6992845E-01  4.0878883E-02  1.8040488E-03  0.0000000E+00  0.0000000E+00  7.4541035E-03
  0.0000000E+00  0.0000000E+00  1.3041262E-02  5.1123930E-02  1.9173233E-01  2.2266661E-01  2.5127450E+00  3.8405443E-01  4.8564817E-01  5.1073816E-02  1.3041262E-02  0.0000000E+00  0.0000000E+00  8.1507427E-03
  0.0000000E+00  0.0000000E+00  2.3673138E-02  6.0813881E-02  1.9770235E-01  2.2911920E-01  2.7277403E+00  3.9476958E-01  5.0021064E-01  6.0767283E-02  2.3673138E-02  0.0000000E+00  0.0000000E+00  8.8483392E-03
  0.0000000E+00  0.0000000E+00  3.3661884E-02  6.9947481E-02  2.0345264E-01  2.3527085E-01  2.9062181E+00  4.0471829E-01  5.1366581E-01  6.9904146E-02  3.3661884E-02  0.0000000E+00  0.0000000E+00  9.5468965E-03
  0.0000000E+00  0.0000000E+00  4.3009198E-02  7.8512982E-02  2.0892017E-01  2.4107377E-01  3.0548503E+00  4.1392484E-01  5.2608511E-01  7.8472687E-02  4.3009198E-02  0.0000000E+00  0.0000000E+00  1.0246418E-02
  0.0000000E+00  0.0000000E+00  5.1737684E-02  8.6522382E-02  2.1407629E-01  2.4651104E-01  3.1788994E+00  4.2242970E-01  5.3754726E-01  8.6484928E-02  5.1737684E-02  0.0000000E+00  0.0000000E+00  1.0946908E-02
  0.0000000E+00  0.0000000E+00  5.9880371E-02  9.4000202E-02  2.1891278E-01  2.5158361E-01  3.2825531E+00  4.3028021E-01  5.4813107E-01  9.3965412E-02  5.9880371E-02  0.0000000E+00  0.0000000E+00  1.1648370E-02
  0.0000000E+00  6.2408303E-03  6.7473131E-02  1.0097509E-01  2.2342871E-01  2.5629801E-01  3.3580537E+00  4.3752378E-01  5.5791305E-01  1.0094281E-01  6.7473131E-02  6.2408303E-03  0.0000000E+00  1.2350409E-02
  0.0000000E+00  1.4513932E-02  7.4550010E-02  1.0747345E-01  2.2762172E-01  2.6065806E-01  3.4157962E+00  4.4420212E-01  5.6696370E-01  1.0744354E-01  7.4550010E-02  1.4513932E-02  0.0000000E+00  1.3053357E-02
  0.0000000E+00  2.2232467E-02  8.1148370E-02  1.1352817E-01  2.3150807E-01  2.6468445E-01  3.4625369E+00  4.5035971E-01  5.7534418E-01  1.1350052E-01  8.1148370E-02  2.2232467E-02  0.0000000E+00  1.3757394E-02
  0.0000000E+00  2.9440365E-02  8.7304055E-02  1.1917156E-01  2.3510627E-01  2.6839932E-01  3.4999451E+00  4.5603862E-01  5.8311054E-01  1.1914605E-01  8.7304055E-02  2.9440365E-02  0.0000000E+00  1.4462526E-02
  0.0000000E+00  3.6178165E-02  9.3050695E-02  1.2443420E-01  2.3843505E-01  2.7182446E-01  3.5294081E+00  4.6127775E-01  5.9031387E-01  1.2441073E-01  9.3050695E-02  3.6178165E-02  0.0000000E+00  1.5168756E-02
  0.0000000E+00  4.2483058E-02  9.8419540E-02  1.2934470E-01  2.4151274E-01  2.7498079E-01  3.5520856E+00  4.6611285E-01  5.9700062E-01  1.2932318E-01  9.8419540E-02  4.2483058E-02  0.0000000E+00  1.5876089E-02
  0.0000000E+00  4.8389041E-02  1.0343944E-01  1.3392964E-01  2.4435694E-01  2.7788807E-01  3.5689513E+00  4.7057660E-01  6.0321291E-01  1.3390996E-01  1.0343944E-01  4.8389041E-02  0.0000000E+00  1.6584530E-02
  0.0000000E+00  5.3927121E-02  1.0813692E-01  1.3821351E-01  2.4698431E-01  2.8056486E-01  3.5808268E+00  4.7469885E-01  6.0898893E-01  1.3819561E-01  1.0813692E-01  5.3927121E-02  0.0000000E+00  1.7294083E-02
  0.0000000E+00  5.9125550E-02  1.1253629E-01  1.4221888E-01  2.4941047E-01  2.8302838E-01  3.5884085E+00  4.7850675E-01  6.1436327E-01  1.4220268E-01  1.1253629E-01  5.9125550E-02  0.0000000E+00  1.8004753E-02
  0.0000000E+00  6.4010057E-02  1.1665984E-01  1.4596646E-01  2.5165002E-01  2.8529459E-01  3.5922885E+00  4.8202505E-01  6.1936731E-01  1.4595189E-01  1.1665984E-01  6.4010057E-02  0.0000000E+00  1.8716546E-02
  0.0000000E+00  6.8604076E-02  1.2052793E-01  1.4947523E-01  2.5371646E-01  2.8737823E-01  3.5929729E+00  4.8527626E-01  6.2402952E-01  1.4946222E-01  1.2052793E-01  6.8604076E-02  0.0000000E+00  1.9429464E-02
  0.0000000E+00  7.2928963E-02  1.2415920E-01  1.5276258E-01  2.5562233E-01  2.8929287E-01  3.5908952E+00  4.8828088E-01  6.2837573E-01  1.5275108E-01  1.2415920E-01  7.2928963E-02  0.0000000E+00  2.0143513E-02
  0.0000000E+00  7.7004191E-02  1.2757069E-01  1.5584447E-01  2.5737921E-01  2.9105099E-01  3.5864281E+00  4.9105760E-01  6.3242946E-01  1.5583442E-01  1.2757069E-01  7.7004191E-02  0.0000000E+00  2.0858699E-02
  0.0000000E+00  8.0847535E-02  1.3077800E-01  1.5873549E-01  2.5899776E-01  2.9266408E-01  3.5798933E+00  4.9362342E-01  6.3621210E-01  1.5872683E-01  1.3077800E-01  8.0847535E-02  0.0000000E+00  2.1575025E-02
  0.0000000E+00  8.4475240E-02  1.3379542E-01  1.6144903E-01  2.6048783E-01  2.9414267E-01  3.5715686E+00  4.9599390E-01  6.3974316E-01  1.6144171E-01  1.3379542E-01  8.4475240E-02  0.0000000E+00  2.2292497E-02
  0.0000000E+00  8.7902166E-02  1.3663606E-01  1.6399738E-01  2.6185850E-01  2.9549647E-01  3.5616954E+00  4.9818323E-01  6.4304044E-01  1.6399135E-01  1.3663606E-01  8.7902166E-02  0.0000000E+00  2.3011119E-02
  0.0000000E+00  9.1141923E-02  1.3931191E-01  1.6639180E-01  2.6311811E-01  2.9673438E-01  3.5504831E+00  5.0020439E-01  6.4612023E-01  1.6638702E-01  1.3931191E-01  9.1141923E-02  0.0000000E+00  2.3730896E-02
  0.0000000E+00  9.4206993E-02  1.4183402E-01  1.6864268E-01  2.6427437E-01  2.9786460E-01  3.5381145E+00  5.0206926E-01  6.4899743E-01  1.6863910E-01  1.4183402E-01  9.4206993E-02  0.0000000E+00  2.4451833E-02
  0.0000000E+00  9.7108839E-02  1.4421254E-01  1.7075952E-01  2.6533439E-01  2.9889467E-01  3.5247490E+00  5.0378874E-01  6.5168570E-01  1.7075712E-01  1.4421254E-01  9.7108839E-02  0.0000000E+00  2.5173936E-02
  2.0693636E-03  9.9857746E-02  1.4645641E-01  1.7275255E-01  2.6630584E-01  2.9983263E-01  3.5062700E+00  5.0537414E-01  6.5419916E-01  1.7275127E-01  1.4645641E-01  9.9857746E-02  2.0693636E-03  2.5894464E-02
  5.8851102E-03  1.0246123E-01  1.4857123E-01  1.7462628E-01  2.6718957E-01  3.0067960E-01  3.4834855E+00  5.0683034E-01  6.5654650E-01  1.7462610E-01  1.4857123E-01  1.0246123E-01  5.8851102E-03  2.6614012E-02
  9.5230737E-03  1.0492779E-01  1.5056447E-01  1.7638599E-01  2.6798895E-01  3.0143924E-01  3.4604606E+00  5.0816347E-01  6.5873597E-01  1.7638687E-01  1.5056447E-01  1.0492779E-01  9.5230737E-03  2.7335204E-02
  1.2993818E-02  1.0726574E-01  1.5244364E-01  1.7803879E-01  2.6870962E-01  3.0211746E-01  3.4372619E+00  5.0938153E-01  6.6077732E-01  1.7804071E-01  1.5244364E-01  1.0726574E-01  1.2993818E-02  2.8058048E-02
  1.6307122E-02  1.0948277E-01  1.5421566E-01  1.7959129E-01  2.6935678E-01  3.0271968E-01  3.4139475E+00  5.1049192E-01  6.6267957E-01  1.7959421E-01  1.5421566E-01  1.0948277E-01  1.6307122E-02  2.8782555E-02
  1.9472052E-02  1.1158602E-01  1.5588699E-01  1.8104960E-01  2.6993523E-01  3.0325097E-01  3.3905682E+00  5.1150148E-01  6.6445108E-01  1.8105349E-01  1.5588699E-01  1.1158602E-01  1.9472052E-02  2.9508734E-02
  2.2497020E-02  1.1358211E-01  1.5746360E-01  1.8241938E-01  2.7044946E-01  3.0371598E-01  3.3671680E+00  5.1241656E-01  6.6609961E-01  1.8242422E-01  1.5746360E-01  1.1358211E-01  2.2497020E-02  3.0236596E-02
  2.5389845E-02  1.1547720E-01  1.5895104E-01  1.8370591E-01  2.7090360E-01  3.0411903E-01  3.3437855E+00  5.1324304E-01  6.6763239E-01  1.8371167E-01  1.5895104E-01  1.1547720E-01  2.5389845E-02  3.0966150E-02
  2.8157797E-02  1.1727700E-01  1.6035448E-01  1.8491409E-01  2.7130150E-01  3.0446415E-01  3.3204542E+00  5.1398638E-01  6.6905612E-01  1.8492075E-01  1.6035448E-01  1.1727700E-01  2.8157797E-02  3.1697406E-02
  3.0807649E-02  1.1898686E-01  1.6167872E-01  1.8604848E-01  2.7164673E-01  3.0475506E-01  3.2972033E+00  5.1465167E-01  6.7037704E-01  1.8605602E-01  1.6167872E-01  1.1898686E-01  3.0807649E-02  3.2430374E-02
  3.3345714E-02  1.2061173E-01  1.6292824E-01  1.8711332E-01  2.7194261E-01  3.0499521E-01  3.2740580E+00  5.1524362E-01  6.7160098E-01  1.8712171E-01  1.6292824E-01  1.2061173E-01  3.3345714E-02  3.3165066E-02
  3.5777882E-02  1.2215626E-01  1.6410721E-01  1.8811258E-01  2.7219223E-01  3.0518784E-01  3.2510402E+00  5.1576663E-01  6.7273338E-01  1.8812180E-01  1.6410721E-01  1.2215626E-01  3.5777882E-02  3.3901490E-02
  3.8109660E-02  1.2362478E-01  1.6521955E-01  1.8904994E-01  2.7239848E-01  3.0533593E-01  3.2281688E+00  5.1622481E-01  6.7377929E-01  1.8905998E-01  1.6521955E-01  1.2362478E-01  3.8109660E-02  3.4639658E-02
  4.0346192E-02  1.2502133E-01  1.6626888E-01  1.8992887E-01  2.7256404E-01  3.0544228E-01  3.2054601E+00  5.1662196E-01  6.7474346E-01  1.8993969E-01  1.6626888E-01  1.2502133E-01  4.0346192E-02  3.5379581E-02
  4.2492298E-02  1.2634970E-01  1.6725863E-01  1.9075258E-01  2.7269140E-01  3.0550949E-01  3.1829281E+00  5.1696167E-01  6.7563033E-01  1.9076418E-01  1.6725863E-01  1.2634970E-01  4.2492298E-02  3.6121267E-02
  4.4552489E-02  1.2761344E-01  1.6819196E-01  1.9152409E-01  2.7278292E-01  3.0553999E-01  3.1605847E+00  5.1724726E-01  6.7644403E-01  1.9153644E-01  1.6819196E-01  1.2761344E-01  4.4552489E-02  3.6864730E-02
  4.6530999E-02  1.2881586E-01  1.6907188E-01  1.9224623E-01  2.7284076E-01  3.0553604E-01  3.1384399E+00  5.1748185E-01  6.7718847E-01  1.9225932E-01  1.6907188E-01  1.2881586E-01  4.6530999E-02  3.7609979E-02
  4.8431800E-02  1.2996009E-01  1.6990118E-01  1.9292165E-01  2.7286697E-01  3.0549976E-01  3.1165023E+00  5.1766836E-01  6.7786728E-01  1.9293546E-01  1.6990118E-01  1.2996009E-01  4.8431800E-02  3.8357025E-02
  5.0258624E-02  1.3104904E-01  1.7068248E-01  1.9355282E-01  2.7286346E-01  3.0543313E-01  3.0947789E+00  5.1780951E-01  6.7848389E-01  1.9356733E-01  1.7068248E-01  1.3104904E-01  5.0258624E-02  3.9105879E-02
  5.2014979E-02  1.3208547E-01  1.7141825E-01  1.9414208E-01  2.7283201E-01  3.0533800E-01  3.0732756E+00  5.1790787E-01  6.7904151E-01  1.9415728E-01  1.7141825E-01  1.3208547E-01  5.2014979E-02  3.9856553E-02
  5.3704165E-02  1.3307196E-01  1.7211080E-01  1.9469161E-01  2.7277429E-01  3.0521610E-01  3.0519971E+00  5.1796583E-01  6.7954317E-01  1.9470748E-01  1.7211080E-01  1.3307196E-01  5.3704165E-02  4.0609058E-02
  5.5329291E-02  1.3401093E-01  1.7276232E-01  1.9520347E-01  2.7269188E-01  3.0506906E-01  3.0309471E+00  5.1798564E-01  6.7999169E-01  1.9521999E-01  1.7276232E-01  1.3401093E-01  5.5329291E-02  4.1363406E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.7233067E-02  1.4267266E-01  1.7911788E-01  1.4330096E+00  3.6054292E-01  4.7254455E-01  1.7203094E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.1325273E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.5049275E-02  1.4660987E-01  1.8352242E-01  1.7245991E+00  3.7130972E-01  4.8931685E-01  2.5031667E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.4092960E-03
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  0.0000000E+00  6.7123108E-02  1.0241850E-01  1.2312199E-01  1.9465561E-01  2.2966267E-01  2.4653789E+00  4.5949496E-01  6.3205704E-01  1.2314499E-01  1.0241850E-01  6.7123108E-02  0.0000000E+00  2.2682274E-02
  1.3737656E-03  6.8850703E-02  1.0373294E-01  1.2421663E-01  1.9486458E-01  2.2971771E-01  2.4439710E+00  4.5977047E-01  6.3307780E-01  1.2424073E-01  1.0373294E-01  6.8850703E-02  1.3737656E-03  2.3285939E-02
  3.8982031E-03  7.0474449E-02  1.0495737E-01  1.2522998E-01  1.9502140E-01  2.2972114E-01  2.4199634E+00  4.5996193E-01  6.3397577E-01  1.2525513E-01  1.0495737E-01  7.0474449E-02  3.8982031E-03  2.3888606E-02
  6.2942822E-03  7.2000985E-02  1.0609753E-01  1.2616592E-01  1.9512817E-01  2.2967514E-01  2.3961747E+00  4.6007389E-01  6.3475782E-01  1.2619210E-01  1.0609753E-01  7.2000985E-02  6.2942822E-03  2.4492633E-02
  8.5701607E-03  7.3436723E-02  1.0715914E-01  1.2702983E-01  1.9518881E-01  2.2958374E-01  2.3726303E+00  4.6011246E-01  6.3543209E-01  1.2705699E-01  1.0715914E-01  7.3436723E-02  8.5701607E-03  2.5098027E-02
  1.0733354E-02  7.4787569E-02  1.0814747E-01  1.2782663E-01  1.9520693E-01  2.2945064E-01  2.3493510E+00  4.6008326E-01  6.3600605E-01  1.2785475E-01  1.0814747E-01  7.4787569E-02  1.0733354E-02  2.5704796E-02
  1.2790796E-02  7.6058963E-02  1.0906736E-01  1.2856086E-01  1.9518583E-01  2.2927921E-01  2.3263536E+00  4.5999142E-01  6.3648655E-01  1.2858990E-01  1.0906736E-01  7.6058963E-02  1.2790796E-02  2.6312947E-02
  1.4748891E-02  7.7255930E-02  1.0992327E-01  1.2923672E-01  1.9512854E-01  2.2907257E-01  2.3036515E+00  4.5984167E-01  6.3687995E-01  1.2926665E-01  1.0992327E-01  7.7255930E-02  1.4748891E-02  2.6922490E-02
  1.6613563E-02  7.8383113E-02  1.1071934E-01  1.2985806E-01  1.9503784E-01  2.2883356E-01  2.2812551E+00  4.5963837E-01  6.3719209E-01  1.2988886E-01  1.1071934E-01  7.8383113E-02  1.6613563E-02  2.7533432E-02
  1.8390299E-02  7.9444806E-02  1.1145937E-01  1.3042845E-01  1.9491631E-01  2.2856479E-01  2.2591725E+00  4.5938551E-01  6.3742838E-01  1.3046009E-01  1.1145937E-01  7.9444806E-02  1.8390299E-02  2.8145781E-02
  2.0084188E-02  8.0444990E-02  1.1214691E-01  1.3095119E-01  1.9476632E-01  2.2826867E-01  2.2374096E+00  4.5908679E-01  6.3759380E-01  1.3098364E-01  1.1214691E-01  8.0444990E-02  2.0084188E-02  2.8759545E-02
  2.1699953E-02  8.1387355E-02  1.1278522E-01  1.3142935E-01  1.9459004E-01  2.2794742E-01  2.2159702E+00  4.5874560E-01  6.3769300E-01  1.3146259E-01  1.1278522E-01  8.1387355E-02  2.1699953E-02  2.9374734E-02
  2.3241985E-02  8.2275325E-02  1.1337733E-01  1.3186574E-01  1.9438948E-01  2.2760307E-01  2.1948569E+00  4.5836509E-01  6.3773025E-01  1.3189974E-01  1.1337733E-01  8.2275325E-02  2.3241985E-02  2.9991354E-02
  2.4714368E-02  8.3112084E-02  1.1392606E-01  1.3226301E-01  1.9416651E-01  2.2723751E-01  2.1740708E+00  4.5794816E-01  6.3770954E-01  1.3229775E-01  1.1392606E-01  8.3112084E-02  2.4714368E-02  3.0609415E-02
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  2.7465160E-02  8.4643615E-02  1.1490368E-01  1.3294973E-01  1.9366006E-01  2.2644956E-01  2.1334793E+00  4.5701559E-01  6.3750877E-01  1.3298589E-01  1.1490368E-01  8.4643615E-02  2.7465160E-02  3.1849892E-02
  2.8750429E-02  8.5343714E-02  1.1533726E-01  1.3324356E-01  1.9337965E-01  2.2603025E-01  2.1136712E+00  4.5650475E-01  6.3733534E-01  1.3328039E-01  1.1533726E-01  8.5343714E-02  2.8750429E-02  3.2472326E-02
  2.9979813E-02  8.6003291E-02  1.1573690E-01  1.3350704E-01  1.9308295E-01  2.2559592E-01  2.0941852E+00  4.5596710E-01  6.3711726E-01  1.3354453E-01  1.1573690E-01  8.6003291E-02  2.9979813E-02  3.3096235E-02
  3.1156208E-02  8.6624585E-02  1.1610455E-01  1.3374199E-01  1.9277125E-01  2.2514782E-01  2.0750182E+00  4.5540463E-01  6.3685730E-01  1.3378013E-01  1.1610455E-01  8.6624585E-02  3.1156208E-02  3.3721628E-02
  3.2282323E-02  8.7209689E-02  1.1644207E-01  1.3395013E-01  1.9244571E-01  2.2468714E-01  2.0561669E+00  4.5481918E-01  6.3655806E-01  1.3398890E-01  1.1644207E-01  8.7209689E-02  3.2282323E-02  3.4348515E-02
  3.3360698E-02  8.7760561E-02  1.1675117E-01  1.3413305E-01  1.9210741E-01  2.2421496E-01  2.0376272E+00  4.5421247E-01  6.3622195E-01  1.3417243E-01  1.1675117E-01  8.7760561E-02  3.3360698E-02  3.4976903E-02
  3.4393713E-02  8.8279034E-02  1.1703345E-01  1.3429224E-01  1.9175737E-01  2.2373228E-01  2.0193950E+00  4.5358608E-01  6.3585123E-01  1.3433221E-01  1.1703345E-01  8.8279034E-02  3.4393713E-02  3.5606802E-02
  3.5383605E-02  8.8766825E-02  1.1729042E-01  1.3442909E-01  1.9139652E-01  2.2324005E-01  2.0014657E+00  4.5294151E-01  6.3544802E-01  1.3446963E-01  1.1729042E-01  8.8766825E-02  3.5383605E-02  3.6238222E-02
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  0.0000000E+00  1.8246854E-02  5.0094287E-02  6.9154287E-02  1.3397056E-01  1.7206496E-01  1.9155360E+00  4.2355047E-01  6.0905225E-01  6.9186763E-02  5.0094287E-02  1.8246854E-02  0.0000000E+00  1.3349412E-02
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  0.0000000E+00  3.0977016E-02  6.0015437E-02  7.7487274E-02  1.3611566E-01  1.7239876E-01  1.8329650E+00  4.2439934E-01  6.1591683E-01  7.7528209E-02  6.0015437E-02  3.0977016E-02  0.0000000E+00  1.5769487E-02
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  0.0000000E+00  3.9537381E-02  6.6395095E-02  8.2629087E-02  1.3646023E-01  1.7113443E-01  1.7374425E+00  4.2215029E-01  6.1753787E-01  8.2676333E-02  6.6395095E-02  3.9537381E-02  0.0000000E+00  1.8208134E-02
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  0.0000000E+00  4.2159532E-02  6.8271120E-02  8.4080938E-02  1.3627280E-01  1.7035489E-01  1.6990711E+00  4.2072248E-01  6.1723790E-01  8.4130281E-02  6.8271120E-02  4.2159532E-02  0.0000000E+00  1.9188877E-02
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  0.0000000E+00  4.4428655E-02  6.9851905E-02  8.5270236E-02  1.3595098E-01  1.6946771E-01  1.6613029E+00  4.1908590E-01  6.1654110E-01  8.5321479E-02  6.9851905E-02  4.4428655E-02  0.0000000E+00  2.0172675E-02
  8.7020659E-04  4.5447490E-02  7.0545847E-02  8.5780588E-02  1.3574850E-01  1.6899197E-01  1.6407314E+00  4.1820414E-01  6.1606722E-01  8.5832717E-02  7.0545847E-02  4.5447490E-02  8.7020659E-04  2.0663526E-02
  2.4630953E-03  4.6395685E-02  7.1180379E-02  8.6239021E-02  1.3551903E-01  1.6849475E-01  1.6187395E+00  4.1728222E-01  6.1551635E-01  8.6291997E-02  7.1180379E-02  4.6395685E-02  2.4630953E-03  2.1153375E-02
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  5.3889226E-03  4.8099671E-02  7.2287986E-02  8.7012033E-02  1.3498498E-01  1.6744090E-01  1.5761251E+00  4.1533002E-01  6.1420523E-01  8.7066600E-02  7.2287986E-02  4.8099671E-02  5.3889226E-03  2.2136345E-02
  6.7334111E-03  4.8864498E-02  7.2768987E-02  8.7333924E-02  1.3468525E-01  1.6688885E-01  1.5554976E+00  4.1430756E-01  6.1345695E-01  8.7389237E-02  7.2768987E-02  4.8864498E-02  6.7334111E-03  2.2629478E-02
  8.0058619E-03  4.9576611E-02  7.3206177E-02  8.7617091E-02  1.3436658E-01  1.6632271E-01  1.5353172E+00  4.1325878E-01  6.1265395E-01  8.7673121E-02  7.3206177E-02  4.9576611E-02  8.0058619E-03  2.3123718E-02
  9.2109375E-03  5.0239639E-02  7.3602729E-02  8.7864453E-02  1.3403087E-01  1.6574426E-01  1.5155778E+00  4.1218672E-01  6.1180096E-01  8.7921171E-02  7.3602729E-02  5.0239639E-02  9.2109375E-03  2.3619071E-02
  1.0352931E-02  5.0856919E-02  7.3961554E-02  8.8078684E-02  1.3367985E-01  1.6515509E-01  1.4962725E+00  4.1109414E-01  6.1090233E-01  8.8136064E-02  7.3961554E-02  5.0856919E-02  1.0352931E-02  2.4115544E-02
  1.1435801E-02  5.1431522E-02  7.4285327E-02  8.8262238E-02  1.3331509E-01  1.6455664E-01  1.4773933E+00  4.0998353E-01  6.0996202E-01  8.8320255E-02  7.4285327E-02  5.1431522E-02  1.1435801E-02  2.4613143E-02
  1.2463201E-02  5.1966274E-02  7.4576505E-02  8.8417369E-02  1.3293803E-01  1.6395023E-01  1.4589320E+00  4.0885718E-01  6.0898366E-01  8.8475998E-02  7.4576505E-02  5.1966274E-02  1.2463201E-02  2.5111874E-02
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  1.5245128E-02  5.3356534E-02  7.5276253E-02  8.8732136E-02  1.3174553E-01  1.6209449E-01  1.4059666E+00  4.0540330E-01  6.0585224E-01  8.8792468E-02  7.5276253E-02  5.3356534E-02  1.5245128E-02  2.6614927E-02
  1.6082025E-02  5.3756063E-02  7.5458007E-02  8.8792722E-02  1.3133123E-01  1.6146700E-01  1.3890869E+00  4.0423278E-01  6.0475237E-01  8.8853582E-02  7.5458007E-02  5.3756063E-02  1.6082025E-02  2.7118253E-02
  1.6878040E-02  5.4126957E-02  7.5616870E-02  8.8833741E-02  1.3091011E-01  1.6083645E-01  1.3725793E+00  4.0305512E-01  6.0362860E-01  8.8895109E-02  7.5616870E-02  5.4126957E-02  1.6878040E-02  2.7622745E-02
  1.7635495E-02  5.4470988E-02  7.5754365E-02  8.8856577E-02  1.3048301E-01  1.6020358E-01  1.3564344E+00  4.0187161E-01  6.0248312E-01  8.8918436E-02  7.5754365E-02  5.4470988E-02  1.7635495E-02  2.8128409E-02
  1.8356551E-02  5.4789802E-02  7.5871902E-02  8.8862510E-02  1.3005068E-01  1.5956904E-01  1.3406428E+00  4.0068343E-01  6.0131794E-01  8.8924842E-02  7.5871902E-02  5.4789802E-02  1.8356551E-02  2.8635253E-02
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  1.9697387E-02  5.5357782E-02  7.6052247E-02  8.8828318E-02  1.2917309E-01  1.5829731E-01  1.3100829E+00  3.9829723E-01  5.9893580E-01  8.8891548E-02  7.6052247E-02  5.5357782E-02  1.9697387E-02  2.9652505E-02
  2.0320799E-02  5.5609695E-02  7.6117396E-02  8.8790310E-02  1.2872904E-01  1.5766114E-01  1.2952964E+00  3.9710109E-01  5.9772214E-01  8.8853967E-02  7.6117396E-02  5.5609695E-02  2.0320799E-02  3.0162928E-02
  2.0915096E-02  5.5841897E-02  7.6167289E-02  8.8739646E-02  1.2828222E-01  1.5702540E-01  1.2808272E+00  3.9590403E-01  5.9649542E-01  8.8803715E-02  7.6167289E-02  5.5841897E-02  2.0915096E-02  3.0674558E-02
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  0.0000000E+00  0.0000000E+00  1.4790677E-02  3.1741543E-02  8.7637114E-02  1.2841465E-01  1.4064523E+00  4.0889931E-01  6.1257139E-01  3.1790252E-02  1.4790677E-02  0.0000000E+00  0.0000000E+00  9.1935745E-03
  0.0000000E+00  0.0000000E+00  1.8379057E-02  3.4801801E-02  8.8704354E-02  1.2858704E-01  1.4152428E+00  4.0899307E-01  6.1525387E-01  3.4853449E-02  1.8379057E-02  0.0000000E+00  0.0000000E+00  9.5667923E-03
  0.0000000E+00  0.0000000E+00  2.1556795E-02  3.7499836E-02  8.9597763E-02  1.2863818E-01  1.4172773E+00  4.0872085E-01  6.1719730E-01  3.7554094E-02  2.1556795E-02  0.0000000E+00  0.0000000E+00  9.9404963E-03
  0.0000000E+00  0.0000000E+00  2.4378077E-02  3.9882723E-02  9.0336170E-02  1.2858237E-01  1.4142331E+00  4.0814981E-01  6.1852730E-01  3.9939314E-02  2.4378077E-02  0.0000000E+00  0.0000000E+00  1.0314688E-02
  0.0000000E+00  2.2303701E-03  2.6888228E-02  4.1989882E-02  9.0934639E-02  1.2842962E-01  1.4026508E+00  4.0732977E-01  6.1934257E-01  4.2048573E-02  2.6888228E-02  2.2303701E-03  0.0000000E+00  1.0689011E-02
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  0.0000000E+00  7.6761264E-03  3.1118708E-02  4.5499293E-02  9.1753398E-02  1.2785440E-01  1.3694382E+00  4.0507314E-01  6.1971396E-01  4.5561623E-02  3.1118708E-02  7.6761264E-03  0.0000000E+00  1.1438992E-02
  0.0000000E+00  1.0005149E-02  3.2901032E-02  4.6957055E-02  9.2004091E-02  1.2745697E-01  1.3509224E+00  4.0370483E-01  6.1939166E-01  4.7020970E-02  3.2901032E-02  1.0005149E-02  0.0000000E+00  1.1814809E-02
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  0.0000000E+00  1.4021019E-02  3.5924289E-02  4.9390834E-02  9.2251949E-02  1.2649492E-01  1.3119126E+00  4.0062026E-01  6.1796640E-01  4.9457538E-02  3.5924289E-02  1.4021019E-02  0.0000000E+00  1.2568106E-02
  0.0000000E+00  1.5754512E-02  3.7205203E-02  5.0402936E-02  9.2269958E-02  1.2594719E-01  1.2919159E+00  3.9894439E-01  6.1693637E-01  5.0470871E-02  3.7205203E-02  1.5754512E-02  0.0000000E+00  1.2945590E-02
  0.0000000E+00  1.7331079E-02  3.8354645E-02  5.1298684E-02  9.2229078E-02  1.2536435E-01  1.2718317E+00  3.9720114E-01  6.1573441E-01  5.1367758E-02  3.8354645E-02  1.7331079E-02  0.0000000E+00  1.3323634E-02
  0.0000000E+00  1.8767135E-02  3.9386706E-02  5.2090803E-02  9.2136727E-02  1.2475224E-01  1.2517896E+00  3.9540364E-01  6.1438491E-01  5.2160930E-02  3.9386706E-02  1.8767135E-02  0.0000000E+00  1.3702241E-02
  0.0000000E+00  2.0077044E-02  4.0313714E-02  5.2790424E-02  9.1999391E-02  1.2411590E-01  1.2318897E+00  3.9356301E-01  6.1290877E-01  5.2861529E-02  4.0313714E-02  2.0077044E-02  0.0000000E+00  1.4081411E-02
  0.0000000E+00  2.1273419E-02  4.1146489E-02  5.3407311E-02  9.1822748E-02  1.2345971E-01  1.2122086E+00  3.9168868E-01  6.1132400E-01  5.3479324E-02  4.1146489E-02  2.1273419E-02  0.0000000E+00  1.4461149E-02
  0.0000000E+00  2.2367368E-02  4.1894555E-02  5.3950052E-02  9.1611778E-02  1.2278743E-01  1.1928043E+00  3.8978868E-01  6.0964618E-01  5.4022912E-02  4.1894555E-02  2.2367368E-02  0.0000000E+00  1.4841455E-02
  0.0000000E+00  2.3368696E-02  4.2566311E-02  5.4426219E-02  9.1370851E-02  1.2210232E-01  1.1737206E+00  3.8786984E-01  6.0788876E-01  5.4499867E-02  4.2566311E-02  2.3368696E-02  0.0000000E+00  1.5222332E-02
  0.0000000E+00  2.4286097E-02  4.3169196E-02  5.4842506E-02  9.1103809E-02  1.2140720E-01  1.1549893E+00  3.8593799E-01  6.0606345E-01  5.4916890E-02  4.3169196E-02  2.4286097E-02  0.0000000E+00  1.5603783E-02
  0.0000000E+00  2.5127289E-02  4.3709805E-02  5.5204845E-02  9.0814034E-02  1.2070452E-01  1.1366333E+00  3.8399808E-01  6.0418044E-01  5.5279919E-02  4.3709805E-02  2.5127289E-02  0.0000000E+00  1.5985808E-02
  0.0000000E+00  2.5899147E-02  4.4194006E-02  5.5518507E-02  9.0504508E-02  1.1999640E-01  1.1186682E+00  3.8205438E-01  6.0224860E-01  5.5594225E-02  4.4194006E-02  2.5899147E-02  0.0000000E+00  1.6368412E-02
  0.0000000E+00  2.6607807E-02  4.4627028E-02  5.5788182E-02  9.0177860E-02  1.1928467E-01  1.1011037E+00  3.8011050E-01  6.0027570E-01  5.5864504E-02  4.4627028E-02  2.6607807E-02  0.0000000E+00  1.6751595E-02
  0.0000000E+00  2.7258764E-02  4.5013542E-02  5.6018056E-02  8.9836416E-02  1.1857091E-01  1.0839451E+00  3.7816953E-01  5.9826855E-01  5.6094945E-02  4.5013542E-02  2.7258764E-02  0.0000000E+00  1.7135360E-02
  0.0000000E+00  2.7856943E-02  4.5357732E-02  5.6211869E-02  8.9482232E-02  1.1785649E-01  1.0671939E+00  3.7623411E-01  5.9623310E-01  5.6289290E-02  4.5357732E-02  2.7856943E-02  0.0000000E+00  1.7519710E-02
  5.1867516E-04  2.8406660E-02  4.5663168E-02  5.6373672E-02  8.9117665E-02  1.1714304E-01  1.0495703E+00  3.7430653E-01  5.9417461E-01  5.6451594E-02  4.5663168E-02  2.8406660E-02  5.1867516E-04  1.7902732E-02
  1.4637171E-03  2.8911107E-02  4.5932035E-02  5.6504960E-02  8.8741989E-02  1.1642865E-01  1.0312947E+00  3.7238373E-01  5.9209242E-01  5.6583354E-02  4.5932035E-02  2.8911107E-02  1.4637171E-03  1.8284779E-02
  2.3507621E-03  2.9373757E-02  4.6167238E-02  5.6607458E-02  8.8355663E-02  1.1571324E-01  1.0135549E+00  3.7046615E-01  5.8998922E-01  5.6686296E-02  4.6167238E-02  2.9373757E-02  2.3507621E-03  1.8667659E-02
  3.1840391E-03  2.9797898E-02  4.6371612E-02  5.6683729E-02  8.7960222E-02  1.1499791E-01  9.9633411E-01  3.6855562E-01  5.8786893E-01  5.6762987E-02  4.6371612E-02  2.9797898E-02  3.1840391E-03  1.9051377E-02
  3.9674043E-03  3.0186522E-02  4.6547726E-02  5.6736094E-02  8.7557034E-02  1.1428361E-01  9.7961562E-01  3.6665374E-01  5.8573504E-01  5.6815749E-02  4.6547726E-02  3.0186522E-02  3.9674043E-03  1.9435937E-02
  4.7043793E-03  3.0542349E-02  4.6697915E-02  5.6766657E-02  8.7147324E-02  1.1357119E-01  9.6338278E-01  3.6476188E-01  5.8359066E-01  5.6846686E-02  4.6697915E-02  3.0542349E-02  4.7043793E-03  1.9821345E-02
  5.3981857E-03  3.0867861E-02  4.6824301E-02  5.6777325E-02  8.6732186E-02  1.1286139E-01  9.4761916E-01  3.6288123E-01  5.8143857E-01  5.6857709E-02  4.6824301E-02  3.0867861E-02  5.3981857E-03  2.0207604E-02
  6.0517753E-03  3.1165327E-02  4.6928816E-02  5.6769834E-02  8.6312600E-02  1.1215483E-01  9.3230866E-01  3.6101281E-01  5.7928127E-01  5.6850552E-02  4.6928816E-02  3.1165327E-02  6.0517753E-03  2.0594720E-02
  6.6678563E-03  3.1436817E-02  4.7013222E-02  5.6745760E-02  8.5889441E-02  1.1145209E-01  9.1743553E-01  3.5915749E-01  5.7712097E-01  5.6826795E-02  4.7013222E-02  3.1436817E-02  6.6678563E-03  2.0982698E-02
  7.2489169E-03  3.1684231E-02  4.7079129E-02  5.6706542E-02  8.5463496E-02  1.1075364E-01  9.0298441E-01  3.5731601E-01  5.7495965E-01  5.6787875E-02  4.7079129E-02  3.1684231E-02  7.2489169E-03  2.1371542E-02
  7.7972461E-03  3.1909308E-02  4.7128007E-02  5.6653489E-02  8.5035465E-02  1.1005990E-01  8.8894038E-01  3.5548902E-01  5.7279908E-01  5.6735105E-02  4.7128007E-02  3.1909308E-02  7.7972461E-03  2.1761257E-02
  8.3149538E-03  3.2113646E-02  4.7161202E-02  5.6587797E-02  8.4605978E-02  1.0937123E-01  8.7528900E-01  3.5367703E-01  5.7064085E-01  5.6669680E-02  4.7161202E-02  3.2113646E-02  8.3149538E-03  2.2151848E-02
  8.8039857E-03  3.2298712E-02  4.7179948E-02  5.6510559E-02  8.4175600E-02  1.0868793E-01  8.6201628E-01  3.5188049E-01  5.6848637E-01  5.6592696E-02  4.7179948E-02  3.2298712E-02  8.8039857E-03  2.2543320E-02
  9.2661396E-03  3.2465859E-02  4.7185374E-02  5.6422776E-02  8.3744834E-02  1.0801027E-01  8.4910870E-01  3.5009976E-01  5.6633689E-01  5.6505152E-02  4.7185374E-02  3.2465859E-02  9.2661396E-03  2.2935678E-02
  9.7030775E-03  3.2616331E-02  4.7178521E-02  5.6325363E-02  8.3314132E-02  1.0733847E-01  8.3655324E-01  3.4833513E-01  5.6419355E-01  5.6407965E-02  4.7178521E-02  3.2616331E-02  9.7030775E-03  2.3328927E-02
  1.0116338E-02  3.2751276E-02  4.7160341E-02  5.6219158E-02  8.2883898E-02  1.0667272E-01  8.2433734E-01  3.4658683E-01  5.6205734E-01  5.6301975E-02  4.7160341E-02  3.2751276E-02  1.0116338E-02  2.3723072E-02
  1.0507349E-02  3.2871753E-02  4.7131713E-02  5.6104932E-02  8.2454493E-02  1.0601318E-01  8.1244890E-01  3.4485505E-01  5.5992915E-01  5.6187951E-02  4.7131713E-02  3.2871753E-02  1.0507349E-02  2.4118119E-02
  1.0877432E-02  3.2978742E-02  4.7093444E-02  5.5983391E-02  8.2026239E-02  1.0535996E-01  8.0087629E-01  3.4313991E-01  5.5780977E-01  5.6066601E-02  4.7093444E-02  3.2978742E-02  1.0877432E-02  2.4514071E-02
  1.1227818E-02  3.3073149E-02  4.7046281E-02  5.5855182E-02  8.1599425E-02  1.0471317E-01  7.8960834E-01  3.4144149E-01  5.5569991E-01  5.5938574E-02  4.7046281E-02  3.3073149E-02  1.1227818E-02  2.4910936E-02
  1.1559649E-02  3.3155812E-02  4.6990909E-02  5.5720904E-02  8.1174307E-02  1.0407288E-01  7.7863429E-01  3.3975986E-01  5.5360019E-01  5.5804467E-02  4.6990909E-02  3.3155812E-02  1.1559649E-02  2.5308717E-02
  1.1873990E-02  3.3227508E-02  4.6927963E-02  5.5581104E-02  8.0751113E-02  1.0343917E-01  7.6794382E-01  3.3809502E-01  5.5151116E-01  5.5664829E-02  4.6927963E-02  3.3227508E-02  1.1873990E-02  2.5707421E-02
  1.2171832E-02  3.3288959E-02  4.6858029E-02  5.5436288E-02  8.0330047E-02  1.0281207E-01  7.5752701E-01  3.3644698E-01  5.4943329E-01  5.5520166E-02  4.6858029E-02  3.3288959E-02  1.2171832E-02  2.6107052E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  8.0347160E-03  6.5275009E-02  1.1054744E-01  1.0147701E+00  4.0844506E-01  6.1218472E-01  8.0440130E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.4740946E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.2420383E-02  6.6964189E-02  1.1054242E-01  1.0987568E+00  4.0927436E-01  6.1879029E-01  1.2504756E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.6585730E-03
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  0.0000000E+00  0.0000000E+00  1.5370698E-02  2.9126666E-02  7.2695347E-02  1.0986579E-01  1.2013147E+00  4.0433453E-01  6.2966462E-01  2.9196493E-02  1.5370698E-02  0.0000000E+00  0.0000000E+00  9.1937515E-03
  0.0000000E+00  0.0000000E+00  1.7949140E-02  3.1281487E-02  7.3305475E-02  1.0947974E-01  1.1954729E+00  4.0233260E-01  6.2930934E-01  3.1353289E-02  1.7949140E-02  0.0000000E+00  0.0000000E+00  9.5174306E-03
  0.0000000E+00  0.0000000E+00  2.0215203E-02  3.3161261E-02  7.3780680E-02  1.0902819E-01  1.1860508E+00  4.0016020E-01  6.2847448E-01  3.3234804E-02  2.0215203E-02  0.0000000E+00  0.0000000E+00  9.8415256E-03
  0.0000000E+00  1.8040665E-03  2.2211204E-02  3.4802894E-02  7.4136308E-02  1.0851781E-01  1.1700910E+00  3.9785403E-01  6.2724768E-01  3.4877982E-02  2.2211204E-02  1.8040665E-03  0.0000000E+00  1.0165695E-02
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  0.0000000E+00  8.0115044E-03  2.6899429E-02  3.8574882E-02  7.4597562E-02  1.0667264E-01  1.1111703E+00  3.9034889E-01  6.2179967E-01  3.8653721E-02  2.6899429E-02  8.0115044E-03  0.0000000E+00  1.1140572E-02
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  0.0000000E+00  1.1159939E-02  2.9193684E-02  4.0354673E-02  7.4528188E-02  1.0526701E-01  1.0702682E+00  3.8508164E-01  6.1716567E-01  4.0435449E-02  2.9193684E-02  1.1159939E-02  0.0000000E+00  1.1792851E-02
  0.0000000E+00  1.2504392E-02  3.0149087E-02  4.1075970E-02  7.4410386E-02  1.0453157E-01  1.0499368E+00  3.8241628E-01  6.1465004E-01  4.1157585E-02  3.0149087E-02  1.2504392E-02  0.0000000E+00  1.2119703E-02
  0.0000000E+00  1.3718492E-02  3.0996259E-02  4.1702489E-02  7.4247389E-02  1.0378101E-01  1.0298431E+00  3.7974428E-01  6.1203465E-01  4.1784869E-02  3.0996259E-02  1.3718492E-02  0.0000000E+00  1.2447034E-02
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  3.8882290E-04  2.1904711E-02  3.5957205E-02  4.4732963E-02  7.0424267E-02  9.4599995E-02  8.2081424E-01  3.4908590E-01  5.7773151E-01  4.4820802E-02  3.5957205E-02  2.1904711E-02  3.8882290E-04  1.6411189E-02
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  1.7559973E-03  2.2570813E-02  3.6228345E-02  4.4771950E-02  6.9635731E-02  9.3133802E-02  7.8898099E-01  3.4437507E-01  5.7197607E-01  4.4860280E-02  3.6228345E-02  2.2570813E-02  1.7559973E-03  1.7072916E-02
  2.3743820E-03  2.2857932E-02  3.6328126E-02  4.4761812E-02  6.9234088E-02  9.2409279E-02  7.7384690E-01  3.4206086E-01  5.6911349E-01  4.4850358E-02  3.6328126E-02  2.2857932E-02  2.3743820E-03  1.7404853E-02
  2.9536093E-03  2.3117758E-02  3.6406881E-02  4.4734450E-02  6.8828943E-02  9.1691190E-02  7.5920727E-01  3.3977473E-01  5.6626394E-01  4.4823196E-02  3.6406881E-02  2.3117758E-02  2.9536093E-03  1.7737511E-02
  3.4965519E-03  2.3352498E-02  3.6466479E-02  4.4691529E-02  6.8421204E-02  9.0979963E-02  7.4504244E-01  3.3751699E-01  5.6342928E-01  4.4780459E-02  3.6466479E-02  2.3352498E-02  3.4965519E-03  1.8070893E-02
  4.0058300E-03  2.3564158E-02  3.6508613E-02  4.4634552E-02  6.8011674E-02  9.0275952E-02  7.3133341E-01  3.3528779E-01  5.6061109E-01  4.4723652E-02  3.6508613E-02  2.3564158E-02  4.0058300E-03  1.8405004E-02
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  1.7806280E-03  1.7648543E-02  2.8673737E-02  3.5607496E-02  5.4809688E-02  7.4063197E-02  6.0528971E-01  3.1532240E-01  5.4703393E-01  3.5702150E-02  2.8673737E-02  1.7648543E-02  1.7806280E-03  1.5850823E-02
  2.2112026E-03  1.7818995E-02  2.8688763E-02  3.5531653E-02  5.4420354E-02  7.3376971E-02  5.9252558E-01  3.1274320E-01  5.4354683E-01  3.5626346E-02  2.8688763E-02  1.7818995E-02  2.2112026E-03  1.6138150E-02
  2.6132801E-03  1.7970240E-02  2.8689730E-02  3.5444875E-02  5.4031067E-02  7.2700570E-02  5.8021534E-01  3.1020862E-01  5.4009964E-01  3.5539595E-02  2.8689730E-02  1.7970240E-02  2.6132801E-03  1.6426095E-02
  2.9889995E-03  1.8103901E-02  2.8677989E-02  3.5348347E-02  5.3642413E-02  7.2034083E-02  5.6833864E-01  3.0771786E-01  5.3669267E-01  3.5443086E-02  2.8677989E-02  1.8103901E-02  2.9889995E-03  1.6714662E-02
  3.3403098E-03  1.8221452E-02  2.8654762E-02  3.5243135E-02  5.3254902E-02  7.1377555E-02  5.5687607E-01  3.0527013E-01  5.3332611E-01  3.5337882E-02  2.8654762E-02  1.8221452E-02  3.3403098E-03  1.7003855E-02
  3.6689889E-03  1.8324228E-02  2.8621148E-02  3.5130197E-02  5.2868976E-02  7.0730999E-02  5.4580914E-01  3.0286457E-01  5.3000004E-01  3.5224944E-02  2.8621148E-02  1.8324228E-02  3.6689889E-03  1.7293676E-02
  3.9766615E-03  1.8413444E-02  2.8578144E-02  3.5010395E-02  5.2485018E-02  7.0094394E-02  5.3512023E-01  3.0050035E-01  5.2671440E-01  3.5105135E-02  2.8578144E-02  1.8413444E-02  3.9766615E-03  1.7584130E-02
  4.2648144E-03  1.8490206E-02  2.8526653E-02  3.4884506E-02  5.2103362E-02  6.9467694E-02  5.2479258E-01  2.9817661E-01  5.2346907E-01  3.4979232E-02  2.8526653E-02  1.8490206E-02  4.2648144E-03  1.7875220E-02
  4.5348099E-03  1.8555520E-02  2.8467491E-02  3.4753234E-02  5.1724293E-02  6.8850834E-02  5.1481028E-01  2.9589249E-01  5.2026382E-01  3.4847938E-02  2.8467491E-02  1.8555520E-02  4.5348099E-03  1.8166949E-02
  4.7878982E-03  1.8610307E-02  2.8401402E-02  3.4617211E-02  5.1348058E-02  6.8243728E-02  5.0515816E-01  2.9364714E-01  5.1709839E-01  3.4711887E-02  2.8401402E-02  1.8610307E-02  4.7878982E-03  1.8459321E-02
  5.0252280E-03  1.8655407E-02  2.8329057E-02  3.4477010E-02  5.0974869E-02  6.7646275E-02  4.9582184E-01  2.9143969E-01  5.1397244E-01  3.4571652E-02  2.8329057E-02  1.8655407E-02  5.0252280E-03  1.8752339E-02
  5.2478559E-03  1.8691587E-02  2.8251071E-02  3.4333149E-02  5.0604903E-02  6.7058364E-02  4.8678763E-01  2.8926932E-01  5.1088560E-01  3.4427751E-02  2.8251071E-02  1.8691587E-02  5.2478559E-03  1.9046007E-02
  5.4567554E-03  1.8719550E-02  2.8168000E-02  3.4186096E-02  5.0238314E-02  6.6479870E-02  4.7804255E-01  2.8713519E-01  5.0783744E-01  3.4280654E-02  2.8168000E-02  1.8719550E-02  5.4567554E-03  1.9340329E-02
  5.6528243E-03  1.8739942E-02  2.8080351E-02  3.4036276E-02  4.9875227E-02  6.5910662E-02  4.6957425E-01  2.8503647E-01  5.0482752E-01  3.4130784E-02  2.8080351E-02  1.8739942E-02  5.6528243E-03  1.9635308E-02
  5.8368912E-03  1.8753353E-02  2.7988588E-02  3.3884072E-02  4.9515749E-02  6.5350602E-02  4.6137101E-01  2.8297235E-01  5.0185536E-01  3.3978526E-02  2.7988588E-02  1.8753353E-02  5.8368912E-03  1.9930948E-02
  6.0097223E-03  1.8760327E-02  2.7893132E-02  3.3729834E-02  4.9159965E-02  6.4799545E-02  4.5342167E-01  2.8094205E-01  4.9892047E-01  3.3824229E-02  2.7893132E-02  1.8760327E-02  6.0097223E-03  2.0227252E-02
  6.1720264E-03  1.8761363E-02  2.7794369E-02  3.3573876E-02  4.8807945E-02  6.4257344E-02  4.4571564E-01  2.7894477E-01  4.9602233E-01  3.3668209E-02  2.7794369E-02  1.8761363E-02  6.1720264E-03  2.0524225E-02
  6.3244601E-03  1.8756921E-02  2.7692649E-02  3.3416485E-02  4.8459743E-02  6.3723847E-02  4.3824287E-01  2.7697977E-01  4.9316041E-01  3.3510752E-02  2.7692649E-02  1.8756921E-02  6.3244601E-03  2.0821871E-02
  6.4676321E-03  1.8747422E-02  2.7588295E-02  3.3257922E-02  4.8115400E-02  6.3198901E-02  4.3099379E-01  2.7504629E-01  4.9033417E-01  3.3352118E-02  2.7588295E-02  1.8747422E-02  6.4676321E-03  2.1120192E-02
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  8.9280408E-03  4.6125933E-02  8.3057424E-02  8.7159129E-01  4.1153365E-01  6.6185764E-01  9.0138072E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.1213541E-03
  0.0000000E+00  0.0000000E+00  5.6555343E-04  1.2147660E-02  4.7306809E-02  8.2358350E-02  8.9796724E-01  4.0650579E-01  6.5972497E-01  1.2236324E-02  5.6555343E-04  0.0000000E+00  0.0000000E+00  7.3122736E-03
  0.0000000E+00  0.0000000E+00  3.8629640E-03  1.4927175E-02  4.8269551E-02  8.1668435E-02  9.0565339E-01  4.0138838E-01  6.5661651E-01  1.5017441E-02  3.8629640E-03  0.0000000E+00  0.0000000E+00  7.5549576E-03
  0.0000000E+00  0.0000000E+00  6.6676616E-03  1.7276519E-02  4.9027075E-02  8.0954826E-02  9.0489838E-01  3.9623323E-01  6.5280302E-01  1.7368096E-02  6.6676616E-03  0.0000000E+00  0.0000000E+00  7.7979411E-03
  0.0000000E+00  0.0000000E+00  9.0605039E-03  1.9264813E-02  4.9605718E-02  8.0213378E-02  8.9825560E-01  3.9109538E-01  6.4849076E-01  1.9357478E-02  9.0605039E-03  0.0000000E+00  0.0000000E+00  8.0412249E-03
  0.0000000E+00  0.0000000E+00  1.1108343E-02  2.0950055E-02  5.0031297E-02  7.9446121E-02  8.8753059E-01  3.8601277E-01  6.4382963E-01  2.1043630E-02  1.1108343E-02  0.0000000E+00  0.0000000E+00  8.2848100E-03
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  0.0000000E+00  0.0000000E+00  1.4379140E-02  2.3595678E-02  5.0513994E-02  7.7853115E-02  8.5863033E-01  3.7610796E-01  6.3387327E-01  2.3690667E-02  1.4379140E-02  0.0000000E+00  0.0000000E+00  8.7728883E-03
  0.0000000E+00  1.2222021E-03  1.5683936E-02  2.4628146E-02  5.0607338E-02  7.7034963E-02  8.3921517E-01  3.7130644E-01  6.2871313E-01  2.4723688E-02  1.5683936E-02  1.2222021E-03  0.0000000E+00  9.0170762E-03
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  0.0000000E+00  1.2274569E-02  2.2763092E-02  2.9326801E-02  4.7208251E-02  6.5562873E-02  5.8503743E-01  3.1453467E-01  5.5778052E-01  2.9425020E-02  2.2763092E-02  1.2274569E-02  0.0000000E+00  1.2470341E-02
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  2.2579748E-04  1.3474728E-02  2.3108417E-02  2.9167931E-02  4.5363501E-02  6.2001118E-02  5.1981578E-01  2.9864908E-01  5.3568001E-01  2.9266054E-02  2.3108417E-02  1.3474728E-02  2.2579748E-04  1.3719082E-02
  6.3372938E-04  1.3640196E-02  2.3122609E-02  2.9094189E-02  4.4993744E-02  6.1329041E-02  5.0716337E-01  2.9569224E-01  5.3148129E-01  2.9192262E-02  2.3122609E-02  1.3640196E-02  6.3372938E-04  1.3967518E-02
  1.0123663E-03  1.3785778E-02  2.3122320E-02  2.9009220E-02  4.4624028E-02  6.0668303E-02  4.9501265E-01  2.9279815E-01  5.2734726E-01  2.9107234E-02  2.3122320E-02  1.3785778E-02  1.0123663E-03  1.4216478E-02
  1.3641006E-03  1.3913303E-02  2.3109075E-02  2.8914361E-02  4.4255029E-02  6.0018939E-02  4.8333901E-01  2.8996513E-01  5.2327735E-01  2.9012309E-02  2.3109075E-02  1.3913303E-02  1.3641006E-03  1.4465966E-02
  1.6910943E-03  1.4024418E-02  2.3084237E-02  2.8810803E-02  4.3887327E-02  5.9380935E-02  4.7211908E-01  2.8719150E-01  5.1927088E-01  2.8908678E-02  2.3084237E-02  1.4024418E-02  1.6910943E-03  1.4715983E-02
  1.9953044E-03  1.4120603E-02  2.3049027E-02  2.8699607E-02  4.3521420E-02  5.8754242E-02  4.6133063E-01  2.8447562E-01  5.1532706E-01  2.8797402E-02  2.3049027E-02  1.4120603E-02  1.9953044E-03  1.4966532E-02
  2.2785054E-03  1.4203194E-02  2.3004538E-02  2.8581719E-02  4.3157735E-02  5.8138776E-02  4.5095263E-01  2.8181586E-01  5.1144500E-01  2.8679429E-02  2.3004538E-02  1.4203194E-02  2.2785054E-03  1.5217617E-02
  2.5423094E-03  1.4273395E-02  2.2951751E-02  2.8457985E-02  4.2796635E-02  5.7534428E-02  4.4096512E-01  2.7921065E-01  5.0762378E-01  2.8555603E-02  2.2951751E-02  1.4273395E-02  2.5423094E-03  1.5469240E-02
  2.7881828E-03  1.4332298E-02  2.2891547E-02  2.8329158E-02  4.2438427E-02  5.6941067E-02  4.3134923E-01  2.7665843E-01  5.0386240E-01  2.8426680E-02  2.2891547E-02  1.4332298E-02  2.7881828E-03  1.5721404E-02
  3.0174621E-03  1.4380888E-02  2.2824721E-02  2.8195915E-02  4.2083374E-02  5.6358544E-02  4.2208709E-01  2.7415769E-01  5.0015983E-01  2.8293336E-02  2.2824721E-02  1.4380888E-02  3.0174621E-03  1.5974112E-02
  3.2313667E-03  1.4420060E-02  2.2751985E-02  2.8058860E-02  4.1731694E-02  5.5786696E-02  4.1316179E-01  2.7170697E-01  4.9651502E-01  2.8156175E-02  2.2751985E-02  1.4420060E-02  3.2313667E-03  1.6227367E-02
  3.4310108E-03  1.4450627E-02  2.2673983E-02  2.7918535E-02  4.1383569E-02  5.5225350E-02  4.0455734E-01  2.6930484E-01  4.9292689E-01  2.8015740E-02  2.2673983E-02  1.4450627E-02  3.4310108E-03  1.6481172E-02
  3.6174146E-03  1.4473327E-02  2.2591297E-02  2.7775424E-02  4.1039150E-02  5.4674322E-02  3.9625863E-01  2.6694990E-01  4.8939436E-01  2.7872516E-02  2.2591297E-02  1.4473327E-02  3.6174146E-03  1.6735530E-02
  3.7915124E-03  1.4488831E-02  2.2504451E-02  2.7629963E-02  4.0698559E-02  5.4133424E-02  3.8825135E-01  2.6464083E-01  4.8591634E-01  2.7726938E-02  2.2504451E-02  1.4488831E-02  3.7915124E-03  1.6990444E-02
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  4.1061511E-03  1.4500649E-02  2.2320128E-02  2.7333515E-02  4.0029235E-02  5.3081237E-02  3.7305779E-01  2.6015507E-01  4.7911943E-01  2.7430246E-02  2.2320128E-02  1.4500649E-02  4.1061511E-03  1.7501952E-02
  4.2482044E-03  1.4498030E-02  2.2223468E-02  2.7183193E-02  3.9700637E-02  5.2569551E-02  3.6584661E-01  2.5797590E-01  4.7579838E-01  2.7279798E-02  2.2223468E-02  1.4498030E-02  4.2482044E-03  1.7758553E-02
  4.3809895E-03  1.4490362E-02  2.2124290E-02  2.7031860E-02  3.9376143E-02  5.2067203E-02  3.5887702E-01  2.5583762E-01  4.7252750E-01  2.7128336E-02  2.2124290E-02  1.4490362E-02  4.3809895E-03  1.8015722E-02
  4.5051216E-03  1.4478070E-02  2.2022912E-02  2.6879769E-02  3.9055780E-02  5.1573995E-02  3.5213820E-01  2.5373908E-01  4.6930574E-01  2.6976114E-02  2.2022912E-02  1.4478070E-02  4.5051216E-03  1.8273462E-02
  4.6211688E-03  1.4461545E-02  2.1919624E-02  2.6727149E-02  3.8739564E-02  5.1089725E-02  3.4561989E-01  2.5167918E-01  4.6613204E-01  2.6823360E-02  2.1919624E-02  1.4461545E-02  4.6211688E-03  1.8531778E-02
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  4.8310683E-03  1.4417195E-02  2.1708338E-02  2.6421118E-02  3.8119580E-02  5.0147215E-02  3.3320650E-01  2.4767103E-01  4.5992475E-01  2.6517057E-02  2.1708338E-02  1.4417195E-02  4.8310683E-03  1.9050145E-02
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  1.5462111E-03  1.1259201E-02  1.8795390E-02  2.3592589E-02  3.5565512E-02  4.7853853E-02  3.7230625E-01  2.6008181E-01  4.8942867E-01  2.3691818E-02  1.8795390E-02  1.1259201E-02  1.5462111E-03  1.3656209E-02
  1.7628561E-03  1.1307312E-02  1.8730753E-02  2.3463714E-02  3.5227178E-02  4.7293811E-02  3.6317708E-01  2.5732773E-01  4.8517176E-01  2.3562792E-02  1.8730753E-02  1.1307312E-02  1.7628561E-03  1.3875810E-02
  1.9638995E-03  1.1345827E-02  1.8660205E-02  2.3331090E-02  3.4892429E-02  4.6745285E-02  3.5441619E-01  2.5463722E-01  4.8099399E-01  2.3430014E-02  1.8660205E-02  1.1345827E-02  1.9638995E-03  1.4095876E-02
  2.1505642E-03  1.1375641E-02  1.8584455E-02  2.3195313E-02  3.4561469E-02  4.6208053E-02  3.4600449E-01  2.5200812E-01  4.7689336E-01  2.3294080E-02  1.8584455E-02  1.1375641E-02  2.1505642E-03  1.4316410E-02
  2.3239609E-03  1.1397563E-02  1.8504136E-02  2.3056912E-02  3.4234461E-02  4.5681885E-02  3.3792399E-01  2.4943837E-01  4.7286791E-01  2.3155518E-02  1.8504136E-02  1.1397563E-02  2.3239609E-03  1.4537414E-02
  2.4851008E-03  1.1412324E-02  1.8419813E-02  2.2916355E-02  3.3911537E-02  4.5166544E-02  3.3015777E-01  2.4692596E-01  4.6891571E-01  2.3014798E-02  1.8419813E-02  1.1412324E-02  2.4851008E-03  1.4758892E-02
  2.6349051E-03  1.1420583E-02  1.8331995E-02  2.2774060E-02  3.3592799E-02  4.4661789E-02  3.2268990E-01  2.4446901E-01  4.6503488E-01  2.2872337E-02  1.8331995E-02  1.1420583E-02  2.6349051E-03  1.4980846E-02
  2.7742147E-03  1.1422938E-02  1.8241137E-02  2.2630398E-02  3.3278324E-02  4.4167378E-02  3.1550540E-01  2.4206567E-01  4.6122356E-01  2.2728506E-02  1.8241137E-02  1.1422938E-02  2.7742147E-03  1.5203278E-02
  2.9037983E-03  1.1419932E-02  1.8147646E-02  2.2485697E-02  3.2968167E-02  4.3683068E-02  3.0859014E-01  2.3971418E-01  4.5747995E-01  2.2583634E-02  1.8147646E-02  1.1419932E-02  2.9037983E-03  1.5426190E-02
  3.0243591E-03  1.1412054E-02  1.8051889E-02  2.2340249E-02  3.2662364E-02  4.3208616E-02  3.0193085E-01  2.3741287E-01  4.5380230E-01  2.2438014E-02  1.8051889E-02  1.1412054E-02  3.0243591E-03  1.5649586E-02
  3.1365415E-03  1.1399751E-02  1.7954196E-02  2.2194316E-02  3.2360936E-02  4.2743782E-02  2.9551501E-01  2.3516011E-01  4.5018888E-01  2.2291906E-02  1.7954196E-02  1.1399751E-02  3.1365415E-03  1.5873469E-02
  3.2409370E-03  1.1383430E-02  1.7854862E-02  2.2048126E-02  3.2063888E-02  4.2288326E-02  2.8933082E-01  2.3295435E-01  4.4663802E-01  2.2145541E-02  1.7854862E-02  1.1383430E-02  3.2409370E-03  1.6097840E-02
  3.3380886E-03  1.1363460E-02  1.7754153E-02  2.1901887E-02  3.1771215E-02  4.1842015E-02  2.8336717E-01  2.3079410E-01  4.4314811E-01  2.1999124E-02  1.7754153E-02  1.1363460E-02  3.3380886E-03  1.6322703E-02
  3.4284959E-03  1.1340176E-02  1.7652308E-02  2.1755779E-02  3.1482901E-02  4.1404615E-02  2.7761359E-01  2.2867793E-01  4.3971756E-01  2.1852837E-02  1.7652308E-02  1.1340176E-02  3.4284959E-03  1.6548060E-02
  3.5126188E-03  1.1313886E-02  1.7549542E-02  2.1609963E-02  3.1198921E-02  4.0975901E-02  2.7206019E-01  2.2660447E-01  4.3634485E-01  2.1706842E-02  1.7549542E-02  1.1313886E-02  3.5126188E-03  1.6773914E-02
  3.5908814E-03  1.1284870E-02  1.7446048E-02  2.1464583E-02  3.0919243E-02  4.0555648E-02  2.6669766E-01  2.2457240E-01  4.3302848E-01  2.1561280E-02  1.7446048E-02  1.1284870E-02  3.5908814E-03  1.7000267E-02
  3.6636746E-03  1.1253382E-02  1.7342002E-02  2.1319764E-02  3.0643829E-02  4.0143640E-02  2.6151719E-01  2.2258046E-01  4.2976702E-01  2.1416279E-02  1.7342002E-02  1.1253382E-02  3.6636746E-03  1.7227124E-02
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  0.0000000E+00  0.0000000E+00  9.8088148E-03  1.6958853E-02  3.6625032E-02  5.7302192E-02  6.7994733E-01  3.5144690E-01  6.3017561E-01  1.7060847E-02  9.8088148E-03  0.0000000E+00  0.0000000E+00  7.5253947E-03
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  0.0000000E+00  8.8029924E-04  1.1774887E-02  1.8473735E-02  3.6627727E-02  5.5617765E-02  6.4084643E-01  3.3817151E-01  6.1302118E-01  1.8575942E-02  1.1774887E-02  8.8029924E-04  0.0000000E+00  7.9011718E-03
  0.0000000E+00  1.9757368E-03  1.2530880E-02  1.9031327E-02  3.6523012E-02  5.4776170E-02  6.1938021E-01  3.3194675E-01  6.0472187E-01  1.9133595E-02  1.2530880E-02  1.9757368E-03  0.0000000E+00  8.0891793E-03
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  0.0000000E+00  5.6498101E-03  1.4825668E-02  2.0525121E-02  3.5365879E-02  5.0686961E-02  5.2176889E-01  3.0429418E-01  5.6616133E-01  2.0627360E-02  1.4825668E-02  5.6498101E-03  0.0000000E+00  9.0330810E-03
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  1.3936481E-04  8.8015850E-03  1.5781618E-02  2.0220879E-02  3.0987278E-02  4.1882582E-02  3.4995188E-01  2.5205757E-01  4.8700064E-01  2.0321561E-02  1.5781618E-02  8.8015850E-03  1.3936481E-04  1.1516820E-02
  3.8972513E-04  8.8778611E-03  1.5736899E-02  2.0107949E-02  3.0655565E-02  4.1316928E-02  3.3981704E-01  2.4887339E-01  4.8193499E-01  2.0208463E-02  1.5736899E-02  8.8778611E-03  3.8972513E-04  1.1707579E-02
  6.2037706E-04  8.9414532E-03  1.5683956E-02  1.9989359E-02  3.0326866E-02  4.0763981E-02  3.3014646E-01  2.4577507E-01  4.7698073E-01  2.0089699E-02  1.5683956E-02  8.9414532E-03  6.2037706E-04  1.1898732E-02
  8.3304601E-04  8.9936587E-03  1.5623832E-02  1.9866000E-02  3.0001555E-02  4.0223520E-02  3.2091352E-01  2.4275918E-01  4.7213447E-01  1.9966163E-02  1.5623832E-02  8.9936587E-03  8.3304601E-04  1.2090280E-02
  1.0292815E-03  9.0356338E-03  1.5557448E-02  1.9738658E-02  2.9679939E-02  3.9695305E-02  3.1209330E-01  2.3982248E-01  4.6739290E-01  1.9838639E-02  1.5557448E-02  9.0356338E-03  1.0292815E-03  1.2282227E-02
  1.2104775E-03  9.0684105E-03  1.5485619E-02  1.9608019E-02  2.9362263E-02  3.9179079E-02  3.0366245E-01  2.3696189E-01  4.6275281E-01  1.9707816E-02  1.5485619E-02  9.0684105E-03  1.2104775E-03  1.2474573E-02
  1.3778908E-03  9.0929116E-03  1.5409066E-02  1.9474689E-02  2.9048725E-02  3.8674574E-02  2.9559907E-01  2.3417446E-01  4.5821105E-01  1.9574298E-02  1.5409066E-02  9.0929116E-03  1.3778908E-03  1.2667322E-02
  1.5326559E-03  9.1099630E-03  1.5328428E-02  1.9339198E-02  2.8739481E-02  3.8181517E-02  2.8788270E-01  2.3145740E-01  4.5376461E-01  1.9438616E-02  1.5328428E-02  9.1099630E-03  1.5326559E-03  1.2860476E-02
  1.6757993E-03  9.1203056E-03  1.5244274E-02  1.9202013E-02  2.8434647E-02  3.7699628E-02  2.8049413E-01  2.2880804E-01  4.4941055E-01  1.9301237E-02  1.5244274E-02  9.1203056E-03  1.6757993E-03  1.3054035E-02
  1.8082509E-03  9.1246048E-03  1.5157106E-02  1.9063544E-02  2.8134311E-02  3.7228627E-02  2.7341542E-01  2.2622385E-01  4.4514603E-01  1.9162571E-02  1.5157106E-02  9.1246048E-03  1.8082509E-03  1.3248004E-02
  1.9308543E-03  9.1234584E-03  1.5067374E-02  1.8924152E-02  2.7838532E-02  3.6768230E-02  2.6662973E-01  2.2370240E-01  4.4096830E-01  1.9022981E-02  1.5067374E-02  9.1234584E-03  1.9308543E-03  1.3442383E-02
  2.0443766E-03  9.1174051E-03  1.4975474E-02  1.8784155E-02  2.7547348E-02  3.6318159E-02  2.6012130E-01  2.2124140E-01  4.3687472E-01  1.8882783E-02  1.4975474E-02  9.1174051E-03  2.0443766E-03  1.3637175E-02
  2.1495155E-03  9.1069302E-03  1.4881761E-02  1.8643830E-02  2.7260777E-02  3.5878135E-02  2.5387536E-01  2.1883864E-01  4.3286274E-01  1.8742256E-02  1.4881761E-02  9.1069302E-03  2.1495155E-03  1.3832383E-02
  2.2469073E-03  9.0924717E-03  1.4786551E-02  1.8503424E-02  2.6978821E-02  3.5447884E-02  2.4787806E-01  2.1649203E-01  4.2892989E-01  1.8601645E-02  1.4786551E-02  9.0924717E-03  2.2469073E-03  1.4028007E-02
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  2.4207222E-03  9.0531484E-03  1.4592732E-02  1.8223198E-02  2.6428690E-02  3.4615630E-02  2.3657824E-01  2.1195940E-01  4.2129215E-01  1.8321006E-02  1.4592732E-02  9.0531484E-03  2.4207222E-03  1.4420519E-02
  2.4981614E-03  9.0289653E-03  1.4494596E-02  1.8083732E-02  2.6160457E-02  3.4213102E-02  2.3125211E-01  2.0976964E-01  4.1758277E-01  1.8181332E-02  1.4494596E-02  9.0289653E-03  2.4981614E-03  1.4617410E-02
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  3.0926961E-04  7.2468698E-03  1.3141446E-02  1.6941502E-02  2.5613780E-02  3.4104638E-02  2.8179433E-01  2.2702425E-01  4.5579376E-01  1.7042338E-02  1.3141446E-02  7.2468698E-03  3.0926961E-04  1.0735097E-02
  4.9143229E-04  7.2859884E-03  1.3075078E-02  1.6816551E-02  2.5306236E-02  3.3606065E-02  2.7312935E-01  2.2391781E-01  4.5056926E-01  1.6917194E-02  1.3075078E-02  7.2859884E-03  4.9143229E-04  1.0903287E-02
  6.5876109E-04  7.3160438E-03  1.3003530E-02  1.6688587E-02  2.5002943E-02  3.3119821E-02  2.6488236E-01  2.2090072E-01  4.4547108E-01  1.6789033E-02  1.3003530E-02  7.3160438E-03  6.5876109E-04  1.1071822E-02
  8.1257778E-04  7.3380093E-03  1.2927558E-02  1.6558241E-02  2.4704102E-02  3.2645605E-02  2.5702798E-01  2.1796911E-01  4.4049472E-01  1.6658485E-02  1.2927558E-02  7.3380093E-03  8.1257778E-04  1.1240704E-02
  9.5406786E-04  7.3527502E-03  1.2847825E-02  1.6426062E-02  2.4409862E-02  3.2183108E-02  2.4954258E-01  2.1511937E-01  4.3563584E-01  1.6526100E-02  1.2847825E-02  7.3527502E-03  9.5406786E-04  1.1409933E-02
  1.0842966E-03  7.3610364E-03  1.2764912E-02  1.6292526E-02  2.4120335E-02  3.1732019E-02  2.4240411E-01  2.1234805E-01  4.3089028E-01  1.6392355E-02  1.2764912E-02  7.3610364E-03  1.0842966E-03  1.1579513E-02
  1.2042229E-03  7.3635543E-03  1.2679334E-02  1.6158049E-02  2.3835596E-02  3.1292021E-02  2.3559206E-01  2.0965191E-01  4.2625409E-01  1.6257665E-02  1.2679334E-02  7.3635543E-03  1.2042229E-03  1.1749445E-02
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  1.4165443E-03  7.3536704E-03  1.2501928E-02  1.5887666E-02  2.3280648E-02  3.0444052E-02  2.2287197E-01  2.0447301E-01  4.1729470E-01  1.5986847E-02  1.2501928E-02  7.3536704E-03  1.4165443E-03  1.2090372E-02
  1.5104275E-03  7.3423066E-03  1.2410850E-02  1.5752345E-02  2.3010462E-02  3.0035462E-02  2.1692948E-01  2.0198458E-01  4.1296436E-01  1.5851304E-02  1.2410850E-02  7.3423066E-03  1.5104275E-03  1.2261371E-02
  1.5970018E-03  7.3272641E-03  1.2318613E-02  1.5617265E-02  2.2745120E-02  2.9636730E-02  2.1124430E-01  1.9955995E-01  4.0872908E-01  1.5716000E-02  1.2318613E-02  7.3272641E-03  1.5970018E-03  1.2432730E-02
  1.6768487E-03  7.3089372E-03  1.2225490E-02  1.5482630E-02  2.2484593E-02  2.9247560E-02  2.0580197E-01  1.9719665E-01  4.0458567E-01  1.5581139E-02  1.2225490E-02  7.3089372E-03  1.6768487E-03  1.2604449E-02
  1.7504966E-03  7.2876797E-03  1.2131721E-02  1.5348617E-02  2.2228838E-02  2.8867663E-02  2.0058895E-01  1.9489230E-01  4.0053104E-01  1.5446898E-02  1.2131721E-02  7.2876797E-03  1.7504966E-03  1.2776532E-02
  1.8184266E-03  7.2638101E-03  1.2037519E-02  1.5215377E-02  2.1977805E-02  2.8496756E-02  1.9559264E-01  1.9264469E-01  3.9656228E-01  1.5313428E-02  1.2037519E-02  7.2638101E-03  1.8184266E-03  1.2948981E-02
  1.8810772E-03  7.2376146E-03  1.1943068E-02  1.5083042E-02  2.1731433E-02  2.8134565E-02  1.9080122E-01  1.9045167E-01  3.9267656E-01  1.5180862E-02  1.1943068E-02  7.2376146E-03  1.8810772E-03  1.3121796E-02
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  1.9921062E-03  7.1792530E-03  1.1754063E-02  1.4821519E-02  2.1252403E-02  2.7435266E-02  1.8178964E-01  1.8622144E-01  3.8514359E-01  1.4918872E-02  1.1754063E-02  7.1792530E-03  1.9921062E-03  1.3468537E-02
  2.0411850E-03  7.1475295E-03  1.1659779E-02  1.4692508E-02  2.1019599E-02  2.7097648E-02  1.7754947E-01  1.8418047E-01  3.8149128E-01  1.4789626E-02  1.1659779E-02  7.1475295E-03  2.0411850E-03  1.3642466E-02
  2.0863914E-03  7.1143704E-03  1.1565796E-02  1.4564759E-02  2.0791164E-02  2.6767722E-02  1.7347411E-01  1.8218657E-01  3.7791188E-01  1.4661640E-02  1.1565796E-02  7.1143704E-03  2.0863914E-03  1.3816771E-02
  2.1280065E-03  7.0799469E-03  1.1472210E-02  1.4438329E-02  2.0567017E-02  2.6445254E-02  1.6955507E-01  1.8023809E-01  3.7440312E-01  1.4534973E-02  1.1472210E-02  7.0799469E-03  2.1280065E-03  1.3991453E-02
  2.1662885E-03  7.0444137E-03  1.1379107E-02  1.4313265E-02  2.0347075E-02  2.6130015E-02  1.6578437E-01  1.7833344E-01  3.7096282E-01  1.4409672E-02  1.1379107E-02  7.0444137E-03  2.1662885E-03  1.4166514E-02
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  8.8440636E-05  5.9092744E-03  1.1091551E-02  1.4477741E-02  2.1785689E-02  2.8657185E-02  2.4311035E-01  2.0945879E-01  4.3475902E-01  1.4579096E-02  1.1091551E-02  5.9092744E-03  8.8440636E-05  9.7116545E-03
  2.4641426E-04  5.9388785E-03  1.1021348E-02  1.4352771E-02  2.1494585E-02  2.8198390E-02  2.3491128E-01  2.0629327E-01  4.2919844E-01  1.4453930E-02  1.1021348E-02  5.9388785E-03  2.4641426E-04  9.8595495E-03
  3.9085790E-04  5.9603659E-03  1.0946870E-02  1.4225608E-02  2.1208224E-02  2.7751854E-02  2.2713855E-01  2.0322640E-01  4.2378596E-01  1.4326563E-02  1.0946870E-02  5.9603659E-03  3.9085790E-04  1.0007744E-02
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  1.2607960E-03  4.5453606E-03  7.7509563E-03  1.0041523E-02  1.4086547E-02  1.7628910E-02  1.1285132E-01  1.4466186E-01  3.2230263E-01  1.0138524E-02  7.7509563E-03  4.5453606E-03  1.2607960E-03  1.1469453E-02
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  9.2142119E-04  3.7218100E-03  6.5697633E-03  8.6663966E-03  1.2095545E-02  1.4957992E-02  9.9301784E-02  1.3356544E-01  3.0678333E-01  8.7647164E-03  6.5697633E-03  3.7218100E-03  9.2142119E-04  1.0134092E-02
  9.4340020E-04  3.6929563E-03  6.4943816E-03  8.5647139E-03  1.1926815E-02  1.4731584E-02  9.6492861E-02  1.3175258E-01  3.0308309E-01  8.6627097E-03  6.4943816E-03  3.6929563E-03  9.4340020E-04  1.0252836E-02
  9.6332057E-04  3.6637214E-03  6.4200462E-03  8.4648303E-03  1.1762126E-02  1.4511264E-02  9.3812157E-02  1.2998840E-01  2.9947144E-01  8.5625000E-03  6.4200462E-03  3.6637214E-03  9.6332057E-04  1.0371827E-02
  9.8134940E-04  3.6341918E-03  6.3467790E-03  8.3667346E-03  1.1601361E-02  1.4296810E-02  9.1252011E-02  1.2827095E-01  2.9594512E-01  8.4640767E-03  6.3467790E-03  3.6341918E-03  9.8134940E-04  1.0491067E-02
  9.9763875E-04  3.6044440E-03  6.2745957E-03  8.2704118E-03  1.1444403E-02  1.4088010E-02  8.8805314E-02  1.2659836E-01  2.9250103E-01  8.3674250E-03  6.2745957E-03  3.6044440E-03  9.9763875E-04  1.0610556E-02
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  0.0000000E+00  9.3858012E-04  6.6423538E-03  1.0285641E-02  1.7958959E-02  2.4432687E-02  3.5560269E-01  2.3615791E-01  5.1053577E-01  1.0389757E-02  6.6423538E-03  9.3858012E-04  0.0000000E+00  5.8441495E-03
  0.0000000E+00  1.3628438E-03  6.8456851E-03  1.0374596E-02  1.7694486E-02  2.3840425E-02  3.3471368E-01  2.2917896E-01  4.9802601E-01  1.0479190E-02  6.8456851E-03  1.3628438E-03  0.0000000E+00  5.9446097E-03
  0.0000000E+00  1.7153634E-03  6.9941236E-03  1.0416963E-02  1.7412823E-02  2.3260810E-02  3.1537922E-01  2.2262653E-01  4.8616563E-01  1.0521945E-02  6.9941236E-03  1.7153634E-03  0.0000000E+00  6.0451974E-03
  0.0000000E+00  2.0085963E-03  7.0982231E-03  1.0422361E-02  1.7120062E-02  2.2696087E-02  2.9750559E-01  2.1646190E-01  4.7490515E-01  1.0527649E-02  7.0982231E-03  2.0085963E-03  0.0000000E+00  6.1459130E-03
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  0.0000000E+00  2.6240073E-03  7.2208080E-03  1.0285667E-02  1.6216462E-02  2.1102802E-02  2.5162268E-01  1.9997200E-01  4.4429422E-01  1.0391469E-02  7.2208080E-03  2.6240073E-03  0.0000000E+00  6.4488320E-03
  0.0000000E+00  2.7635561E-03  7.2169023E-03  1.0205641E-02  1.5916017E-02  2.0606795E-02  2.3857267E-01  1.9505328E-01  4.3502356E-01  1.0311503E-02  7.2169023E-03  2.7635561E-03  0.0000000E+00  6.5500638E-03
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  0.0000000E+00  3.2279401E-03  6.8841771E-03  9.4432766E-03  1.3953741E-02  1.7601371E-02  1.7011278E-01  1.6669689E-01  3.8028202E-01  9.5484910E-03  6.8841771E-03  3.2279401E-03  0.0000000E+00  7.2623549E-03
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  0.0000000E+00  3.2706166E-03  6.6665542E-03  9.0823981E-03  1.3210815E-02  1.6534104E-02  1.4966220E-01  1.5704107E-01  3.6111651E-01  9.1869503E-03  6.6665542E-03  3.2706166E-03  0.0000000E+00  7.5696127E-03
  4.5132621E-05  3.2734657E-03  6.5906422E-03  8.9630658E-03  1.2976906E-02  1.6203673E-02  1.4351858E-01  1.5407905E-01  3.5518103E-01  9.0673635E-03  6.5906422E-03  3.2734657E-03  4.5132621E-05  7.6714712E-03
  1.2506378E-04  3.2717577E-03  6.5135791E-03  8.8445466E-03  1.2749224E-02  1.5884354E-02  1.3760416E-01  1.5122712E-01  3.4944083E-01  8.9485753E-03  6.5135791E-03  3.2717577E-03  1.2506378E-04  7.7727552E-03
  1.9732826E-04  3.2660934E-03  6.4357307E-03  8.7268437E-03  1.2527383E-02  1.5575386E-02  1.3205558E-01  1.4847825E-01  3.4388451E-01  8.8305903E-03  6.4357307E-03  3.2660934E-03  1.9732826E-04  7.8742374E-03
  2.6271285E-04  3.2570162E-03  6.3574449E-03  8.6102107E-03  1.2311308E-02  1.5276380E-02  1.2684451E-01  1.4582694E-01  3.3850317E-01  8.7136632E-03  6.3574449E-03  3.2570162E-03  2.6271285E-04  7.9759189E-03
  3.2191238E-04  3.2449982E-03  6.2790143E-03  8.4948531E-03  1.2100903E-02  1.4986955E-02  1.2194515E-01  1.4326804E-01  3.3328847E-01  8.5980008E-03  6.2790143E-03  3.2449982E-03  3.2191238E-04  8.0778007E-03
  3.7554186E-04  3.2304503E-03  6.2006847E-03  8.3809361E-03  1.1896057E-02  1.4706739E-02  1.1733399E-01  1.4079677E-01  3.2823260E-01  8.4837695E-03  6.2006847E-03  3.2304503E-03  3.7554186E-04  8.1798839E-03
  4.2414686E-04  3.2137308E-03  6.1226615E-03  8.2685913E-03  1.1696648E-02  1.4435371E-02  1.1298959E-01  1.3840868E-01  3.2332822E-01  8.3711015E-03  6.1226615E-03  3.2137308E-03  4.2414686E-04  8.2821693E-03
  4.6821234E-04  3.1951521E-03  6.0451166E-03  8.1579216E-03  1.1502546E-02  1.4172503E-02  1.0889238E-01  1.3609960E-01  3.1856843E-01  8.2601010E-03  6.0451166E-03  3.1951521E-03  4.6821234E-04  8.3846581E-03
  5.0817030E-04  3.1749875E-03  5.9681926E-03  8.0490061E-03  1.1313615E-02  1.3917797E-02  1.0502448E-01  1.3386564E-01  3.1394676E-01  8.1508477E-03  5.9681926E-03  3.1749875E-03  5.0817030E-04  8.4873514E-03
  5.4440628E-04  3.1534759E-03  5.8920076E-03  7.9419038E-03  1.1129716E-02  1.3670930E-02  1.0136951E-01  1.3170318E-01  3.0945712E-01  8.0434014E-03  5.8920076E-03  3.1534759E-03  5.4440628E-04  8.5902500E-03
  5.7726498E-04  3.1308265E-03  5.8166587E-03  7.8366568E-03  1.0950706E-02  1.3431589E-02  9.7912486E-02  1.2960879E-01  3.0509375E-01  7.9378049E-03  5.8166587E-03  3.1308265E-03  5.7726498E-04  8.6933551E-03
  6.0705521E-04  3.1072227E-03  5.7422249E-03  7.7332929E-03  1.0776443E-02  1.3199477E-02  9.4639667E-02  1.2757930E-01  3.0085126E-01  7.8340867E-03  5.7422249E-03  3.1072227E-03  6.0705521E-04  8.7966678E-03
  6.3405405E-04  3.0828253E-03  5.6687700E-03  7.6318283E-03  1.0606786E-02  1.2974307E-02  9.1538438E-02  1.2561170E-01  2.9672453E-01  7.7322635E-03  5.6687700E-03  3.0828253E-03  6.3405405E-04  8.9001890E-03
  6.5851053E-04  3.0577754E-03  5.5963446E-03  7.5322691E-03  1.0441594E-02  1.2755804E-02  8.8597212E-02  1.2370318E-01  2.9270875E-01  7.6323420E-03  5.5963446E-03  3.0577754E-03  6.5851053E-04  9.0039201E-03
  6.8064888E-04  3.0321967E-03  5.5249882E-03  7.4346131E-03  1.0280729E-02  1.2543706E-02  8.5805329E-02  1.2185109E-01  2.8879937E-01  7.5343203E-03  5.5249882E-03  3.0321967E-03  6.8064888E-04  9.1078618E-03
  7.0067123E-04  3.0061980E-03  5.4547307E-03  7.3388511E-03  1.0124055E-02  1.2337762E-02  8.3152978E-02  1.2005294E-01  2.8499207E-01  7.4381900E-03  5.4547307E-03  3.0061980E-03  7.0067123E-04  9.2120155E-03
  7.1876012E-04  2.9798748E-03  5.3855938E-03  7.2449685E-03  9.9714382E-03  1.2137733E-02  8.0631114E-02  1.1830639E-01  2.8128279E-01  7.3439366E-03  5.3855938E-03  2.9798748E-03  7.1876012E-04  9.3163821E-03
  7.3508066E-04  2.9533109E-03  5.3175923E-03  7.1529458E-03  9.8227492E-03  1.1943389E-02  7.8231393E-02  1.1660923E-01  2.7766767E-01  7.2515411E-03  5.3175923E-03  2.9533109E-03  7.3508066E-04  9.4209629E-03
  7.4978232E-04  2.9265799E-03  5.2507352E-03  7.0627597E-03  9.6778617E-03  1.1754511E-02  7.5946111E-02  1.1495937E-01  2.7414305E-01  7.1609806E-03  5.2507352E-03  2.9265799E-03  7.4978232E-04  9.5257589E-03
  7.6300066E-04  2.8997463E-03  5.1850262E-03  6.9743838E-03  9.5366526E-03  1.1570890E-02  7.3768143E-02  1.1335484E-01  2.7070546E-01  7.0722291E-03  5.1850262E-03  2.8997463E-03  7.6300066E-04  9.6307712E-03
  7.7485876E-04  2.8728668E-03  5.1204650E-03  6.8877893E-03  9.3990027E-03  1.1392326E-02  7.1690900E-02  1.1179379E-01  2.6735162E-01  6.9852578E-03  5.1204650E-03  2.8728668E-03  7.7485876E-04  9.7360011E-03
  7.8546849E-04  2.8459909E-03  5.0570475E-03  6.8029454E-03  9.2647964E-03  1.1218628E-02  6.9708277E-02  1.1027444E-01  2.6407840E-01  6.9000364E-03  5.0570475E-03  2.8459909E-03  7.8546849E-04  9.8414496E-03
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  3.5921487E-05  2.6736664E-03  5.5088604E-03  7.6355514E-03  1.0867918E-02  1.3332099E-02  1.2016542E-01  1.3801194E-01  3.2929441E-01  7.7416400E-03  5.5088604E-03  2.6736664E-03  3.5921487E-05  7.1593279E-03
  9.9363365E-05  2.6674220E-03  5.4346747E-03  7.5231752E-03  1.0661972E-02  1.3053047E-02  1.1491239E-01  1.3531031E-01  3.2361588E-01  7.6289324E-03  5.4346747E-03  2.6674220E-03  9.9363365E-05  7.2484501E-03
  1.5650995E-04  2.6581321E-03  5.3603956E-03  7.4121917E-03  1.0461884E-02  1.2783552E-02  1.1000160E-01  1.3271022E-01  3.1812813E-01  7.5176032E-03  5.3603956E-03  2.6581321E-03  1.5650995E-04  7.3377449E-03
  2.0802585E-04  2.6462443E-03  5.2862847E-03  7.3027742E-03  1.0267531E-02  1.2523223E-02  1.0540515E-01  1.3020602E-01  3.1282149E-01  7.4078276E-03  5.2862847E-03  2.6462443E-03  2.0802585E-04  7.4272131E-03
  2.5449604E-04  2.6321454E-03  5.2125580E-03  7.1950580E-03  1.0078772E-02  1.2271685E-02  1.0109777E-01  1.2779251E-01  3.0768698E-01  7.2997419E-03  5.2125580E-03  2.6321454E-03  2.5449604E-04  7.5168555E-03
  2.9643659E-04  2.6161698E-03  5.1393930E-03  7.0891459E-03  9.8954604E-03  1.2028572E-02  9.7056565E-02  1.2546483E-01  3.0271617E-01  7.1934504E-03  5.1393930E-03  2.6161698E-03  2.9643659E-04  7.6066732E-03
  3.3430383E-04  2.5986074E-03  5.0669352E-03  6.9851142E-03  9.7174425E-03  1.1793532E-02  9.3260776E-02  1.2321847E-01  2.9790119E-01  7.0890304E-03  5.0669352E-03  2.5986074E-03  3.3430383E-04  7.6966668E-03
  3.6850214E-04  2.5797097E-03  4.9953024E-03  6.8830170E-03  9.5445612E-03  1.1566226E-02  8.9691526E-02  1.2104924E-01  2.9323466E-01  6.9865372E-03  4.9953024E-03  2.5797097E-03  3.6850214E-04  7.7868374E-03
  3.9939062E-04  2.5596950E-03  4.9245899E-03  6.7828903E-03  9.3766581E-03  1.1346330E-02  8.6331650E-02  1.1895323E-01  2.8870967E-01  6.8860076E-03  4.9245899E-03  2.5596950E-03  3.9939062E-04  7.8771858E-03
  4.2728883E-04  2.5387530E-03  4.8548732E-03  6.6847547E-03  9.2135746E-03  1.1133531E-02  8.3165515E-02  1.1692676E-01  2.8431972E-01  6.7874632E-03  4.8548732E-03  2.5387530E-03  4.2728883E-04  7.9677129E-03
  4.5248163E-04  2.5170489E-03  4.7862117E-03  6.5886184E-03  9.0551534E-03  1.0927532E-02  8.0178864E-02  1.1496643E-01  2.8005872E-01  6.6909130E-03  4.7862117E-03  2.5170489E-03  4.5248163E-04  8.0584195E-03
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  2.8477515E-05  2.1729032E-03  4.5801530E-03  6.4926877E-03  9.0601210E-03  1.0924289E-02  1.0029220E-01  1.2314443E-01  3.0403991E-01  6.6008778E-03  4.5801530E-03  2.1729032E-03  2.8477515E-05  6.7268052E-03
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  2.4384902E-04  1.6384168E-03  3.2974349E-03  4.7916612E-03  6.3496588E-03  7.4446331E-03  5.7774047E-02  9.2898842E-02  2.4122926E-01  4.8976293E-03  3.2974349E-03  1.6384168E-03  2.4384902E-04  6.9184479E-03
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  3.4753628E-04  1.4553765E-03  2.7949609E-03  4.0789739E-03  5.2682584E-03  6.1156293E-03  3.9803789E-02  7.7886886E-02  2.0545031E-01  4.1790389E-03  2.7949609E-03  1.4553765E-03  3.4753628E-04  7.6210689E-03
  3.5261465E-04  1.4374058E-03  2.7510164E-03  4.0173918E-03  5.1774894E-03  6.0052957E-03  3.8509347E-02  7.6634461E-02  2.0241681E-01  4.1168736E-03  2.7510164E-03  1.4374058E-03  3.5261465E-04  7.6920961E-03
  3.5705966E-04  1.4196172E-03  2.7081283E-03  3.9573735E-03  5.0893903E-03  5.8983745E-03  3.7281835E-02  7.5419266E-02  1.9946591E-01  4.0562750E-03  2.7081283E-03  1.4196172E-03  3.5705966E-04  7.7632653E-03
  3.6092811E-04  1.4020268E-03  2.6662707E-03  3.8988714E-03  5.0038561E-03  5.7947213E-03  3.6116744E-02  7.4239678E-02  1.9659424E-01  3.9971956E-03  2.6662707E-03  1.4020268E-03  3.6092811E-04  7.8345772E-03
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  0.0000000E+00  0.0000000E+00  3.0915563E-03  6.0329608E-03  1.0731529E-02  1.3867855E-02  3.3388187E-01  1.9612467E-01  4.7519975E-01  6.1470732E-03  3.0915563E-03  0.0000000E+00  0.0000000E+00  4.7324176E-03
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  0.0000000E+00  2.2882600E-04  3.7252175E-03  6.3282006E-03  1.0126871E-02  1.2648840E-02  2.5374004E-01  1.7206151E-01  4.2472077E-01  6.4460511E-03  3.7252175E-03  2.2882600E-04  0.0000000E+00  4.9119232E-03
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  1.7626460E-05  1.4080213E-03  3.1015201E-03  4.6587327E-03  6.1868367E-03  7.2216169E-03  6.8908471E-02  9.6914422E-02  2.5598580E-01  4.7715448E-03  3.1015201E-03  1.4080213E-03  1.7626460E-05  6.0594560E-03
  4.8513082E-05  1.3973657E-03  3.0437124E-03  4.5703855E-03  6.0443639E-03  7.0445597E-03  6.5394845E-02  9.4721987E-02  2.5076076E-01  4.6825282E-03  3.0437124E-03  1.3973657E-03  4.8513082E-05  6.1193928E-03
  7.6046171E-05  1.3854471E-03  2.9868951E-03  4.4842508E-03  5.9070202E-03  6.8745106E-03  6.2143801E-02  9.2620493E-02  2.4573347E-01  4.5957151E-03  2.9868951E-03  1.3854471E-03  7.6046171E-05  6.1794415E-03
  1.0060785E-04  1.3725003E-03  2.9311505E-03  4.4003379E-03  5.7746027E-03  6.7111257E-03  5.9130870E-02  9.0604469E-02  2.4089284E-01  4.5111165E-03  2.9311505E-03  1.3725003E-03  1.0060785E-04  6.2396028E-03
  1.2253118E-04  1.3587242E-03  2.8765385E-03  4.3186392E-03  5.6469108E-03  6.5540770E-03  5.6334246E-02  8.8668868E-02  2.3622863E-01  4.4287266E-03  2.8765385E-03  1.3587242E-03  1.2253118E-04  6.2998771E-03
  1.4210724E-04  1.3442874E-03  2.8231009E-03  4.2391342E-03  5.5237485E-03  6.4030528E-03  5.3734462E-02  8.6809032E-02  2.3173131E-01  4.3485262E-03  2.8231009E-03  1.3442874E-03  1.4210724E-04  6.3602649E-03
  1.5959108E-04  1.3293334E-03  2.7708641E-03  4.1617922E-03  5.4049250E-03  6.2577569E-03  5.1314105E-02  8.5020652E-02  2.2739204E-01  4.2704859E-03  2.7708641E-03  1.3293334E-03  1.5959108E-04  6.4207669E-03
  1.7520669E-04  1.3139837E-03  2.7198430E-03  4.0865748E-03  5.2902554E-03  6.1179090E-03  4.9057574E-02  8.3299737E-02  2.2320260E-01  4.1945685E-03  2.7198430E-03  1.3139837E-03  1.7520669E-04  6.4813837E-03
  1.8915124E-04  1.2983419E-03  2.6700424E-03  4.0134376E-03  5.1795616E-03  5.9832432E-03  4.6950860E-02  8.1642588E-02  2.1915532E-01  4.1207306E-03  2.6700424E-03  1.2983419E-03  1.8915124E-04  6.5421157E-03
  2.0159871E-04  1.2824958E-03  2.6214594E-03  3.9423323E-03  5.0726723E-03  5.8535083E-03  4.4981369E-02  8.0045767E-02  2.1524304E-01  4.0489245E-03  2.6214594E-03  1.2824958E-03  2.0159871E-04  6.6029635E-03
  2.1270292E-04  1.2665198E-03  2.5740850E-03  3.8732071E-03  4.9694230E-03  5.7284667E-03  4.3137757E-02  7.8506080E-02  2.1145909E-01  3.9790995E-03  2.5740850E-03  1.2665198E-03  2.1270292E-04  6.6639277E-03
  2.2260016E-04  1.2504774E-03  2.5279048E-03  3.8060084E-03  4.8696563E-03  5.6078937E-03  4.1409786E-02  7.7020550E-02  2.0779722E-01  3.9112026E-03  2.5279048E-03  1.2504774E-03  2.2260016E-04  6.7250089E-03
  2.3141139E-04  1.2344219E-03  2.4829009E-03  3.7406814E-03  4.7732218E-03  5.4915771E-03  3.9788205E-02  7.5586405E-02  2.0425160E-01  3.8451796E-03  2.4829009E-03  1.2344219E-03  2.3141139E-04  6.7862078E-03
  2.3924422E-04  1.2183989E-03  2.4390523E-03  3.6771707E-03  4.6799758E-03  5.3793163E-03  3.8264640E-02  7.4201057E-02  2.0081675E-01  3.7809756E-03  2.4390523E-03  1.2183989E-03  2.3924422E-04  6.8475248E-03
  2.4619453E-04  1.2024464E-03  2.3963354E-03  3.6154207E-03  4.5897814E-03  5.2709220E-03  3.6831501E-02  7.2862087E-02  1.9748753E-01  3.7185356E-03  2.3963354E-03  1.2024464E-03  2.4619453E-04  6.9089605E-03
  2.5234787E-04  1.1865965E-03  2.3547251E-03  3.5553765E-03  4.5025079E-03  5.1662152E-03  3.5481893E-02  7.1567233E-02  1.9425911E-01  3.6578049E-03  2.3547251E-03  1.1865965E-03  2.5234787E-04  6.9705156E-03
  2.5778077E-04  1.1708763E-03  2.3141950E-03  3.4969833E-03  4.4180310E-03  5.0650267E-03  3.4209551E-02  7.0314377E-02  1.9112698E-01  3.5987293E-03  2.3141950E-03  1.1708763E-03  2.5778077E-04  7.0321906E-03
  2.6256172E-04  1.1553080E-03  2.2747180E-03  3.4401878E-03  4.3362323E-03  4.9671967E-03  3.3008766E-02  6.9101534E-02  1.8808686E-01  3.5412556E-03  2.2747180E-03  1.1553080E-03  2.6256172E-04  7.0939862E-03
  2.6675217E-04  1.1399102E-03  2.2362661E-03  3.3849373E-03  4.2569992E-03  4.8725740E-03  3.1874335E-02  6.7926841E-02  1.8513474E-01  3.4853316E-03  2.2362661E-03  1.1399102E-03  2.6675217E-04  7.1559030E-03
  2.7040732E-04  1.1246982E-03  2.1988115E-03  3.3311807E-03  4.1802243E-03  4.7810159E-03  3.0801506E-02  6.6788548E-02  1.8226683E-01  3.4309064E-03  2.1988115E-03  1.1246982E-03  2.7040732E-04  7.2179416E-03
  2.7357682E-04  1.1096843E-03  2.1623261E-03  3.2788680E-03  4.1058056E-03  4.6923870E-03  2.9785935E-02  6.5685011E-02  1.7947957E-01  3.3779301E-03  2.1623261E-03  1.1096843E-03  2.7357682E-04  7.2801026E-03
  2.7630538E-04  1.0948785E-03  2.1267820E-03  3.2279508E-03  4.0336462E-03  4.6065596E-03  2.8823643E-02  6.4614681E-02  1.7676959E-01  3.3263545E-03  2.1267820E-03  1.0948785E-03  2.7630538E-04  7.3423867E-03
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  0.0000000E+00  7.2309341E-04  3.2873201E-03  5.4318775E-03  7.9082113E-03  9.4846272E-03  1.7100311E-01  1.3818817E-01  3.5844575E-01  5.5565970E-03  3.2873201E-03  7.2309341E-04  0.0000000E+00  4.9431802E-03
  0.0000000E+00  8.3091075E-04  3.2748606E-03  5.3492679E-03  7.6784589E-03  9.1646743E-03  1.5664111E-01  1.3310792E-01  3.4682226E-01  5.4738842E-03  3.2748606E-03  8.3091075E-04  0.0000000E+00  4.9955672E-03
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  0.0000000E+00  1.1212273E-03  3.0171267E-03  4.7563492E-03  6.4369581E-03  7.5281727E-03  9.8205316E-02  1.0896476E-01  2.9040483E-01  4.8782598E-03  3.0171267E-03  1.1212273E-03  0.0000000E+00  5.3111846E-03
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  1.3743693E-05  1.1206762E-03  2.5208531E-03  3.9288644E-03  5.0601938E-03  5.8183625E-03  5.6616916E-02  8.5477349E-02  2.3340510E-01  4.0438975E-03  2.5208531E-03  1.1206762E-03  1.3743693E-05  5.7882152E-03
  3.7768550E-05  1.1103536E-03  2.4697170E-03  3.8492313E-03  4.9372729E-03  5.6691310E-03  5.3601386E-02  8.3460322E-02  2.2839923E-01  3.9634370E-03  2.4697170E-03  1.1103536E-03  3.7768550E-05  5.8404278E-03
  5.9116427E-05  1.0991250E-03  2.4196852E-03  3.7718569E-03  4.8190533E-03  5.5260610E-03  5.0820345E-02  8.1529365E-02  2.2358938E-01  3.8852308E-03  2.4196852E-03  1.0991250E-03  5.9116427E-05  5.8927366E-03
  7.8099223E-05  1.0871752E-03  2.3708033E-03  3.6967174E-03  4.7053276E-03  5.3888340E-03  4.8251084E-02  7.9679176E-02  2.1896424E-01  3.8092571E-03  2.3708033E-03  1.0871752E-03  7.8099223E-05  5.9451421E-03
  9.4987980E-05  1.0746596E-03  2.3231004E-03  3.6237775E-03  4.5958945E-03  5.2571481E-03  4.5873464E-02  7.7904880E-02  2.1451341E-01  3.7354820E-03  2.3231004E-03  1.0746596E-03  9.4987980E-05  5.9976447E-03
  1.1001888E-04  1.0617093E-03  2.2765916E-03  3.5529936E-03  4.4905592E-03  5.1307174E-03  4.3669588E-02  7.6201978E-02  2.1022721E-01  3.6638631E-03  2.2765916E-03  1.0617093E-03  1.1001888E-04  6.0502450E-03
  1.2339827E-04  1.0484345E-03  2.2312815E-03  3.4843156E-03  4.3891344E-03  5.0092718E-03  4.1623521E-02  7.4566319E-02  2.0609668E-01  3.5943518E-03  2.2312815E-03  1.0484345E-03  1.2339827E-04  6.1029435E-03
  1.3530687E-04  1.0349284E-03  2.1871661E-03  3.4176892E-03  4.2914403E-03  4.8925563E-03  3.9721043E-02  7.2994065E-02  2.0211351E-01  3.5268943E-03  2.1871661E-03  1.0349284E-03  1.3530687E-04  6.1557405E-03
  1.4590337E-04  1.0212693E-03  2.1442345E-03  3.3530568E-03  4.1973051E-03  4.7803304E-03  3.7949441E-02  7.1481661E-02  1.9826995E-01  3.4614342E-03  2.1442345E-03  1.0212693E-03  1.4590337E-04  6.2086366E-03
  1.5532738E-04  1.0075231E-03  2.1024707E-03  3.2903590E-03  4.1065647E-03  4.6723673E-03  3.6297331E-02  7.0025812E-02  1.9455880E-01  3.3979129E-03  2.1024707E-03  1.0075231E-03  1.5532738E-04  6.2616323E-03
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  1.7113618E-04  9.7998203E-04  2.0223628E-03  3.1705257E-03  3.9346507E-03  4.4683874E-03  3.3311746E-02  6.7271752E-02  1.8750731E-01  3.2764471E-03  2.0223628E-03  9.7998203E-04  1.7113618E-04  6.3679242E-03
  1.7772616E-04  9.6627265E-04  1.9839699E-03  3.1132691E-03  3.8531869E-03  4.3719796E-03  3.1960815E-02  6.5968048E-02  1.8415484E-01  3.2183826E-03  1.9839699E-03  9.6627265E-04  1.7772616E-04  6.4212215E-03
  1.8355750E-04  9.5264945E-04  1.9466488E-03  3.0577059E-03  3.7745372E-03  4.2790514E-03  3.0694239E-02  6.4709876E-02  1.8091044E-01  3.1620178E-03  1.9466488E-03  9.5264945E-04  1.8355750E-04  6.4746204E-03
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  1.9323997E-04  9.2576477E-04  1.8751077E-03  2.9514263E-03  3.6251767E-03  4.1029701E-03  2.8387822E-02  6.2321067E-02  1.7472566E-01  3.0541551E-03  1.8751077E-03  9.2576477E-04  1.9323997E-04  6.5817248E-03
  1.9721917E-04  9.1254384E-04  1.8408293E-03  2.9005965E-03  3.5542302E-03  4.0195089E-03  2.7336347E-02  6.1186266E-02  1.7177594E-01  3.0025443E-03  1.8408293E-03  9.1254384E-04  1.9721917E-04  6.6354313E-03
  2.0069775E-04  8.9949149E-04  1.8075064E-03  2.8512336E-03  3.4856259E-03  3.9389097E-03  2.6345830E-02  6.0088645E-02  1.6891559E-01  2.9524077E-03  1.8075064E-03  8.9949149E-04  2.0069775E-04  6.6892414E-03
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  2.0634122E-04  8.7393781E-04  1.7436098E-03  2.7566990E-03  3.3550365E-03  3.7857731E-03  2.4529808E-02  5.7997992E-02  1.6344725E-01  2.8563484E-03  1.7436098E-03  8.7393781E-04  2.0634122E-04  6.7971745E-03
  2.0858823E-04  8.6145330E-04  1.7129784E-03  2.7114270E-03  3.2928608E-03  3.7129918E-03  2.3696356E-02  5.7001748E-02  1.6083196E-01  2.8103257E-03  1.7129784E-03  8.6145330E-04  2.0858823E-04  6.8512985E-03
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  7.6763171E-08  3.6771553E-07  9.4646451E-07  2.7525730E-05  6.5388096E-05  6.6384401E-05  3.5074690E-05  6.8828315E-04  3.1112531E-03  4.1173551E-05  9.4646451E-07  3.6771553E-07  7.6763171E-08  3.3258614E-03
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  0.0000000E+00  0.0000000E+00  2.3103139E-06  1.2479435E-04  2.9448503E-04  2.9494546E-04  7.3059006E-04  3.2510394E-03  1.5267830E-02  1.8941455E-04  2.3103139E-06  0.0000000E+00  0.0000000E+00  2.5254606E-03
  0.0000000E+00  0.0000000E+00  2.2171373E-06  1.1240737E-04  2.6998462E-04  2.7050715E-04  5.7358349E-04  2.9184328E-03  1.3699036E-02  1.7093300E-04  2.2171373E-06  0.0000000E+00  0.0000000E+00  2.5246077E-03
  0.0000000E+00  9.2356044E-08  2.1014061E-06  1.0181985E-04  2.4855980E-04  2.4913747E-04  4.5651974E-04  2.6355737E-03  1.2364527E-02  1.5510608E-04  2.1014061E-06  9.2356044E-08  0.0000000E+00  2.5236628E-03
  0.0000000E+00  1.8277776E-07  1.9768225E-06  9.2665523E-05  2.2964330E-04  2.3026978E-04  3.6835604E-04  2.3921112E-03  1.1215694E-02  1.4139690E-04  1.9768225E-06  1.8277776E-07  0.0000000E+00  2.5226789E-03
  0.0000000E+00  2.4083249E-07  1.8516349E-06  8.4694001E-05  2.1284885E-04  2.1351846E-04  3.0134127E-04  2.1809699E-03  1.0219271E-02  1.2943845E-04  1.8516349E-06  2.4083249E-07  0.0000000E+00  2.5216930E-03
  0.0000000E+00  2.7695994E-07  1.7304010E-06  7.7710208E-05  1.9786672E-04  1.9857440E-04  2.4964882E-04  1.9966420E-03  9.3493352E-03  1.1894383E-04  1.7304010E-06  2.7695994E-07  0.0000000E+00  2.5207050E-03
  0.0000000E+00  2.9811444E-07  1.6154853E-06  7.1557510E-05  1.8444185E-04  1.8518310E-04  2.0923239E-04  1.8347499E-03  8.5852758E-03  1.0968261E-04  1.6154853E-06  2.9811444E-07  0.0000000E+00  2.5197149E-03
  0.0000000E+00  3.0899502E-07  1.5079638E-06  6.6109036E-05  1.7236270E-04  1.7313351E-04  1.7723451E-04  1.6917783E-03  7.9105313E-03  1.0146801E-04  1.5079638E-06  3.0899502E-07  0.0000000E+00  2.5187227E-03
  0.0000000E+00  3.1281876E-07  1.4081641E-06  6.1261186E-05  1.6145270E-04  1.6224951E-04  1.5160604E-04  1.5648774E-03  7.3116687E-03  9.4147363E-05  1.4081641E-06  3.1281876E-07  0.0000000E+00  2.5177284E-03
  0.0000000E+00  3.1180667E-07  1.3159807E-06  5.6928706E-05  1.5156352E-04  1.5238317E-04  1.3085640E-04  1.4517164E-03  6.7776978E-03  8.7594930E-05  1.3159807E-06  3.1180667E-07  0.0000000E+00  2.5167320E-03
  0.0000000E+00  3.0751354E-07  1.2310791E-06  5.3040944E-05  1.4256982E-04  1.4340949E-04  1.1388696E-04  1.3503740E-03  6.2995550E-03  8.1706373E-05  1.2310791E-06  3.0751354E-07  0.0000000E+00  2.5157334E-03
  0.0000000E+00  3.0102434E-07  1.1529970E-06  4.9538946E-05  1.3436510E-04  1.3522227E-04  9.9878170E-05  1.2592545E-03  5.8697108E-03  7.6394531E-05  1.1529970E-06  3.0102434E-07  0.0000000E+00  2.5147327E-03
  0.0000000E+00  2.9310878E-07  1.0812281E-06  4.6373221E-05  1.2685837E-04  1.2773080E-04  8.8211381E-05  1.1770237E-03  5.4818670E-03  7.1586137E-05  1.0812281E-06  2.9310878E-07  0.0000000E+00  2.5137298E-03
  0.0000000E+00  2.8431658E-07  1.0152622E-06  4.3501975E-05  1.1997153E-04  1.2085722E-04  7.8414745E-05  1.1025591E-03  5.1307225E-03  6.7219242E-05  1.0152622E-06  2.8431658E-07  0.0000000E+00  2.5127248E-03
  0.0000000E+00  2.7502803E-07  9.5459374E-07  4.0889708E-05  1.1363719E-04  1.1453435E-04  7.0124945E-05  1.0349101E-03  4.8117888E-03  6.3241161E-05  9.5459374E-07  2.7502803E-07  0.0000000E+00  2.5117176E-03
  0.0000000E+00  2.6551829E-07  8.9875275E-07  3.8506127E-05  1.0779698E-04  1.0870401E-04  6.3059183E-05  9.7326818E-04  4.5212449E-03  5.9606874E-05  8.9875275E-07  2.6551829E-07  0.0000000E+00  2.5107083E-03
  0.0000000E+00  2.5597848E-07  8.4730031E-07  3.6325242E-05  1.0240012E-04  1.0331557E-04  5.6995640E-05  9.1694124E-04  4.2558212E-03  5.6277711E-05  8.4730031E-07  2.5597848E-07  0.0000000E+00  2.5096967E-03
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  0.0000000E+00  2.2833665E-07  7.1545359E-07  3.0789451E-05  8.8452584E-05  8.9386114E-05  4.3233202E-05  7.7429487E-04  3.5840125E-03  4.7808932E-05  7.1545359E-07  2.2833665E-07  0.0000000E+00  2.5066488E-03
  0.0000000E+00  2.1966124E-07  6.7790126E-07  2.9223285E-05  8.4436364E-05  8.5373906E-05  3.9740922E-05  7.3402870E-04  3.3944937E-03  4.5407830E-05  6.7790126E-07  2.1966124E-07  0.0000000E+00  2.5056284E-03
  2.3532469E-09  2.1130514E-07  6.4306172E-07  2.7778636E-05  8.0693344E-05  8.1634050E-05  3.6613058E-05  6.9679062E-04  3.2192646E-03  4.3187953E-05  6.4306172E-07  2.1130514E-07  2.3532469E-09  2.5043300E-03
  6.3102910E-09  2.0326086E-07  6.1063434E-07  2.6440824E-05  7.7192929E-05  7.8136004E-05  3.3802759E-05  6.6222708E-04  3.0566623E-03  4.1127832E-05  6.1063434E-07  2.0326086E-07  6.3102910E-09  2.5027762E-03
  9.6460192E-09  1.9553314E-07  5.8040796E-07  2.5195074E-05  7.3909454E-05  7.4854173E-05  3.1302352E-05  6.3007876E-04  2.9054794E-03  3.9207849E-05  5.8040796E-07  1.9553314E-07  9.6460192E-09  2.5012182E-03
  1.2455146E-08  1.8812460E-07  5.5220177E-07  2.4033228E-05  7.0825453E-05  7.1771159E-05  2.9068587E-05  6.0012903E-04  2.7646902E-03  3.7415716E-05  5.5220177E-07  1.8812460E-07  1.2455146E-08  2.4996560E-03
  1.4816594E-08  1.8103291E-07  5.2585138E-07  2.2948008E-05  6.7925177E-05  6.8871279E-05  2.7065310E-05  5.7218486E-04  2.6333807E-03  3.5740456E-05  5.2585138E-07  1.8103291E-07  1.4816594E-08  2.4980896E-03
  1.6796379E-08  1.7425214E-07  5.0120734E-07  2.1932902E-05  6.5194404E-05  6.6140364E-05  2.5262153E-05  5.4607376E-04  2.5107344E-03  3.4172239E-05  5.0120734E-07  1.7425214E-07  1.6796379E-08  2.4965189E-03
  1.8450254E-08  1.6777425E-07  4.7813410E-07  2.0982072E-05  6.2620259E-05  6.3565594E-05  2.3633483E-05  5.2164129E-04  2.3960201E-03  3.2702239E-05  4.7813410E-07  1.6777425E-07  1.8450254E-08  2.4949440E-03
  1.9824960E-08  1.6158918E-07  4.5650812E-07  2.0090268E-05  6.0191068E-05  6.1135337E-05  2.2157568E-05  4.9874882E-04  2.2885814E-03  3.1322518E-05  4.5650812E-07  1.6158918E-07  1.9824960E-08  2.4933649E-03
  2.0960089E-08  1.5568589E-07  4.3621701E-07  1.9252766E-05  5.7896219E-05  5.8839028E-05  2.0815905E-05  4.7727162E-04  2.1878277E-03  3.0025920E-05  4.3621701E-07  1.5568589E-07  2.0960089E-08  2.4917814E-03
  2.1889411E-08  1.5005290E-07  4.1715865E-07  1.8465298E-05  5.5726057E-05  5.6667047E-05  1.9592668E-05  4.5709724E-04  2.0932268E-03  2.8805979E-05  4.1715865E-07  1.5005290E-07  2.1889411E-08  2.4901936E-03
  2.2641700E-08  1.4467842E-07  3.9923997E-07  1.7724007E-05  5.3671777E-05  5.4610623E-05  1.8474270E-05  4.3812410E-04  2.0042978E-03  2.7656841E-05  3.9923997E-07  1.4467842E-07  2.2641700E-08  2.4886014E-03
  2.3241368E-08  1.3955046E-07  3.8237595E-07  1.7025396E-05  5.1725333E-05  5.2661745E-05  1.7449002E-05  4.2026027E-04  1.9206054E-03  2.6573199E-05  3.8237595E-07  1.3955046E-07  2.3241368E-08  2.4870049E-03
  2.3709350E-08  1.3465719E-07  3.6648899E-07  1.6366292E-05  4.9879369E-05  5.0813084E-05  1.6506732E-05  4.0342233E-04  1.8417549E-03  2.5550229E-05  3.6648899E-07  1.3465719E-07  2.3709350E-08  2.4854039E-03
  2.4063739E-08  1.2998718E-07  3.5150832E-07  1.5743809E-05  4.8127142E-05  4.9057922E-05  1.5638662E-05  3.8753454E-04  1.7673877E-03  2.4583542E-05  3.5150832E-07  1.2998718E-07  2.4063739E-08  2.4837985E-03
  2.4320049E-08  1.2552925E-07  3.3736916E-07  1.5155318E-05  4.6462465E-05  4.7390096E-05  1.4837126E-05  3.7252795E-04  1.6971776E-03  2.3669136E-05  3.3736916E-07  1.2552925E-07  2.4320049E-08  2.4821886E-03
  2.4491682E-08  1.2127269E-07  3.2401219E-07  1.4598420E-05  4.4879650E-05  4.5803943E-05  1.4095420E-05  3.5833968E-04  1.6308270E-03  2.2803356E-05  3.2401219E-07  1.2127269E-07  2.4491682E-08  2.4805742E-03
  2.4590125E-08  1.1720708E-07  3.1138296E-07  1.4070922E-05  4.3373467E-05  4.4294249E-05  1.3407666E-05  3.4491234E-04  1.5680643E-03  2.1982858E-05  3.1138296E-07  1.1720708E-07  2.4590125E-08  2.4789553E-03
  2.4625383E-08  1.1332256E-07  2.9943156E-07  1.3570818E-05  4.1939091E-05  4.2856210E-05  1.2768694E-05  3.3219342E-04  1.5086412E-03  2.1204579E-05  2.9943156E-07  1.1332256E-07  2.4625383E-08  2.4773319E-03
  2.4606182E-08  1.0960979E-07  2.8811220E-07  1.3096268E-05  4.0572073E-05  4.1485391E-05  1.2173936E-05  3.2013484E-04  1.4523301E-03  2.0465710E-05  2.8811220E-07  1.0960979E-07  2.4606182E-08  2.4757039E-03
  2.4540064E-08  1.0605983E-07  2.7738271E-07  1.2645582E-05  3.9268302E-05  4.0177698E-05  1.1619350E-05  3.0869248E-04  1.3989224E-03  1.9763670E-05  2.7738271E-07  1.0605983E-07  2.4540064E-08  2.4740713E-03
  2.4433589E-08  1.0266422E-07  2.6720430E-07  1.2217207E-05  3.8023974E-05  3.8929340E-05  1.1101352E-05  2.9782581E-04  1.3482264E-03  1.9096083E-05  2.6720430E-07  1.0266422E-07  2.4433589E-08  2.4724341E-03
  2.4292482E-08  9.9414946E-08  2.5754120E-07  1.1809715E-05  3.6835566E-05  3.7736808E-05  1.0616746E-05  2.8749757E-04  1.3000658E-03  1.8460763E-05  2.5754120E-07  9.9414946E-08  2.4292482E-08  2.4707921E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.5880045E-04  6.0578954E-04  6.0549513E-04  5.7102346E-03  6.9573371E-03  3.3013438E-02  3.9683025E-04  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.1829978E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.1492658E-04  5.2171195E-04  5.2158676E-04  3.5705963E-03  5.7091879E-03  2.7075771E-02  3.3046718E-04  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.1824672E-03
  0.0000000E+00  0.0000000E+00  1.7449942E-07  1.8167844E-04  4.5478300E-04  4.5480876E-04  2.3501646E-03  4.7836990E-03  2.2672633E-02  2.8010729E-04  1.7449942E-07  0.0000000E+00  0.0000000E+00  2.1818991E-03
  0.0000000E+00  0.0000000E+00  9.1601757E-07  1.5585303E-04  4.0040268E-04  4.0055976E-04  1.6027456E-03  4.0731188E-03  1.9291624E-02  2.4074848E-04  9.1601757E-07  0.0000000E+00  0.0000000E+00  2.1810960E-03
  0.0000000E+00  0.0000000E+00  1.2513431E-06  1.3520310E-04  3.5547928E-04  3.5574938E-04  1.1310487E-03  3.5132577E-03  1.6627771E-02  2.0926683E-04  1.2513431E-06  0.0000000E+00  0.0000000E+00  2.1802915E-03
  0.0000000E+00  0.0000000E+00  1.3786337E-06  1.1844346E-04  3.1793998E-04  3.1830679E-04  8.2209217E-04  3.0637766E-03  1.4489220E-02  1.8368951E-04  1.3786337E-06  0.0000000E+00  0.0000000E+00  2.1794854E-03
  0.0000000E+00  0.0000000E+00  1.3981969E-06  1.0465752E-04  2.8623942E-04  2.8668875E-04  6.1314722E-04  2.6970897E-03  1.2744750E-02  1.6262052E-04  1.3981969E-06  0.0000000E+00  0.0000000E+00  2.1786778E-03
  0.0000000E+00  0.0000000E+00  1.3625465E-06  9.3180657E-05  2.5921279E-04  2.5973250E-04  4.6783852E-04  2.3937892E-03  1.1302029E-02  1.4505214E-04  1.3625465E-06  0.0000000E+00  0.0000000E+00  2.1778686E-03
  0.0000000E+00  0.0000000E+00  1.2998654E-06  8.3522941E-05  2.3597127E-04  2.3655100E-04  3.6426628E-04  2.1398842E-03  1.0094477E-02  1.3024324E-04  1.2998654E-06  0.0000000E+00  0.0000000E+00  2.1770580E-03
  0.0000000E+00  5.2722507E-08  1.2252959E-06  7.5312911E-05  2.1581018E-04  2.1644105E-04  2.8776378E-04  1.9248366E-03  9.0719311E-03  1.1762989E-04  1.2252959E-06  5.2722507E-08  0.0000000E+00  2.1761678E-03
  0.0000000E+00  1.0377646E-07  1.1468178E-06  6.8249874E-05  1.9814318E-04  1.9881751E-04  2.3062667E-04  1.7404601E-03  8.1954576E-03  1.0675940E-04  1.1468178E-06  1.0377646E-07  0.0000000E+00  2.1752441E-03
  0.0000000E+00  1.3605200E-07  1.0691132E-06  6.2128189E-05  1.8256912E-04  1.8328030E-04  1.8751995E-04  1.5811543E-03  7.4383916E-03  9.7322090E-05  1.0691132E-06  1.3605200E-07  0.0000000E+00  2.1743185E-03
  0.0000000E+00  1.5572952E-07  9.9468262E-07  5.6788533E-05  1.6876859E-04  1.6951096E-04  1.5449744E-04  1.4425733E-03  6.7800301E-03  8.9077049E-05  9.9468262E-07  1.5572952E-07  0.0000000E+00  2.1733911E-03
  0.0000000E+00  1.6688983E-07  9.2474577E-07  5.2103732E-05  1.5648089E-04  1.5724957E-04  1.2884131E-04  1.3212747E-03  6.2039724E-03  8.1831835E-05  9.2474577E-07  1.6688983E-07  0.0000000E+00  2.1724618E-03
  0.0000000E+00  1.7227057E-07  8.5978988E-07  4.7971339E-05  1.4549157E-04  1.4628237E-04  1.0864703E-04  1.2145029E-03  5.6970888E-03  7.5431267E-05  8.5978988E-07  1.7227057E-07  0.0000000E+00  2.1715306E-03
  0.0000000E+00  1.7372610E-07  7.9988054E-07  4.4308104E-05  1.3562296E-04  1.3643226E-04  9.2558693E-05  1.1200307E-03  5.2487674E-03  6.9749104E-05  7.9988054E-07  1.7372610E-07  0.0000000E+00  2.1705976E-03
  0.0000000E+00  1.7253090E-07  7.4485661E-07  4.1045843E-05  1.2672686E-04  1.2755152E-04  7.9596711E-05  1.0360422E-03  4.8503553E-03  6.4681827E-05  7.4485661E-07  1.7253090E-07  0.0000000E+00  2.1696626E-03
  0.0000000E+00  1.6956350E-07  6.9443419E-07  3.8128283E-05  1.1867884E-04  1.1951616E-04  6.9043699E-05  9.6104478E-04  4.4947405E-03  6.0143894E-05  6.9443419E-07  1.6956350E-07  0.0000000E+00  2.1687258E-03
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  0.0000000E+00  1.6058042E-07  6.0603474E-07  3.3147889E-05  1.0472266E-04  1.0557853E-04  5.3169090E-05  8.3328443E-04  3.8893214E-03  5.2382959E-05  6.0603474E-07  1.6058042E-07  0.0000000E+00  2.1668464E-03
  0.0000000E+00  1.5529379E-07  5.6735966E-07  3.1013038E-05  9.8649096E-05  9.9511444E-05  4.7145336E-05  7.7862573E-04  3.6304844E-03  4.9050137E-05  5.6735966E-07  1.5529379E-07  0.0000000E+00  2.1659038E-03
  0.0000000E+00  1.4978736E-07  5.3192336E-07  2.9076266E-05  9.3087818E-05  9.3955088E-05  4.2064031E-05  7.2909606E-04  3.3960426E-03  4.6023121E-05  5.3192336E-07  1.4978736E-07  0.0000000E+00  2.1649593E-03
  0.0000000E+00  1.4420573E-07  4.9941829E-07  2.7313877E-05  8.7982504E-05  8.8853339E-05  3.7745441E-05  6.8407539E-04  3.1830422E-03  4.3265660E-05  4.9941829E-07  1.4420573E-07  0.0000000E+00  2.1640129E-03
  0.0000000E+00  1.3865598E-07  4.6957010E-07  2.5705615E-05  8.3284398E-05  8.4157614E-05  3.4049168E-05  6.4303458E-04  2.9889625E-03  4.0746726E-05  4.6957010E-07  1.3865598E-07  0.0000000E+00  2.1630645E-03
  0.0000000E+00  1.3320487E-07  4.4212204E-07  2.4234072E-05  7.8951121E-05  7.9825682E-05  3.0864514E-05  6.0551984E-04  2.8116422E-03  3.8439625E-05  4.4212204E-07  1.3320487E-07  0.0000000E+00  2.1621142E-03
  0.0000000E+00  1.2789916E-07  4.1684515E-07  2.2884230E-05  7.4945687E-05  7.5820688E-05  2.8103561E-05  5.7114022E-04  2.6492191E-03  3.6321297E-05  4.1684515E-07  1.2789916E-07  0.0000000E+00  2.1611618E-03
  0.0000000E+00  1.2276943E-07  3.9353389E-07  2.1643073E-05  7.1235704E-05  7.2110352E-05  2.5695924E-05  5.3955741E-04  2.5000824E-03  3.4371734E-05  3.9353389E-07  1.2276943E-07  0.0000000E+00  2.1602076E-03
  0.0000000E+00  1.1782872E-07  3.7199819E-07  2.0499272E-05  6.7792696E-05  6.8666296E-05  2.3584891E-05  5.1047750E-04  2.3628326E-03  3.2573508E-05  3.7199819E-07  1.1782872E-07  0.0000000E+00  2.1592513E-03
  1.2573671E-09  1.1308952E-07  3.5207064E-07  1.9446647E-05  6.4594602E-05  6.5466541E-05  2.1697847E-05  4.8363993E-04  2.2362148E-03  3.0914904E-05  3.5207064E-07  1.1308952E-07  1.2573671E-09  2.1580554E-03
  3.3654670E-09  1.0854684E-07  3.3357210E-07  1.8474043E-05  6.1613537E-05  6.2483237E-05  2.0005482E-05  4.5877997E-04  2.1189764E-03  2.9379176E-05  3.3357210E-07  1.0854684E-07  3.3654670E-09  2.1566393E-03
  5.1352828E-09  1.0419807E-07  3.1637119E-07  1.7570267E-05  5.8826568E-05  5.9693518E-05  1.8501940E-05  4.3570243E-04  2.0102026E-03  2.7951105E-05  3.1637119E-07  1.0419807E-07  5.1352828E-09  2.1552195E-03
  6.6191748E-09  1.0004239E-07  3.0035774E-07  1.6729082E-05  5.6217417E-05  5.7081169E-05  1.7160544E-05  4.1424421E-04  1.9091165E-03  2.6621025E-05  3.0035774E-07  1.0004239E-07  6.6191748E-09  2.1537959E-03
  7.8606422E-09  9.6076434E-08  2.8543200E-07  1.5944936E-05  5.3771465E-05  5.4631626E-05  1.5959052E-05  3.9426029E-04  1.8150271E-03  2.5380316E-05  2.8543200E-07  9.6076434E-08  7.8606422E-09  2.1523686E-03
  8.8960823E-09  9.2295219E-08  2.7150373E-07  1.5212872E-05  5.1475557E-05  5.2331783E-05  1.4878825E-05  3.7562134E-04  1.7273186E-03  2.4221280E-05  2.7150373E-07  9.2295219E-08  8.8960823E-09  2.1509376E-03
  9.7559602E-09  8.8692551E-08  2.5849117E-07  1.4528457E-05  4.9317831E-05  5.0169821E-05  1.3904167E-05  3.5821175E-04  1.6454406E-03  2.3137022E-05  2.5849117E-07  8.8692551E-08  9.7559602E-09  2.1495028E-03
  1.0465918E-08  8.5261513E-08  2.4632023E-07  1.3887712E-05  4.7287564E-05  4.8135058E-05  1.3021798E-05  3.4192796E-04  1.5689001E-03  2.2121352E-05  2.4632023E-07  8.5261513E-08  1.0465918E-08  2.1480641E-03
  1.1047693E-08  8.1994863E-08  2.3492383E-07  1.3287062E-05  4.5375049E-05  4.6217822E-05  1.2220431E-05  3.2667695E-04  1.4972544E-03  2.1168704E-05  2.3492383E-07  8.1994863E-08  1.1047693E-08  2.1466217E-03
  1.1519603E-08  7.8885053E-08  2.2424095E-07  1.2723289E-05  4.3571480E-05  4.4409337E-05  1.1490434E-05  3.1237502E-04  1.4301052E-03  2.0274058E-05  2.2424095E-07  7.8885053E-08  1.1519603E-08  2.1451754E-03
  1.1897221E-08  7.5924526E-08  2.1421618E-07  1.2193484E-05  4.1868855E-05  4.2701627E-05  1.0823549E-05  2.9894668E-04  1.3670934E-03  1.9432879E-05  2.1421618E-07  7.5924526E-08  1.1897221E-08  2.1437252E-03
  1.2193886E-08  7.3105884E-08  2.0479921E-07  1.1695021E-05  4.0259885E-05  4.1087431E-05  1.0212669E-05  2.8632372E-04  1.3078946E-03  1.8641065E-05  2.0479921E-07  7.3105884E-08  1.2193886E-08  2.1422711E-03
  1.2421005E-08  7.0421908E-08  1.9594421E-07  1.1225518E-05  3.8737926E-05  3.9560126E-05  9.6516562E-06  2.7444437E-04  1.2522152E-03  1.7894894E-05  1.9594421E-07  7.0421908E-08  1.2421005E-08  2.1408131E-03
  1.2588247E-08  6.7865504E-08  1.8760933E-07  1.0782812E-05  3.7296909E-05  3.8113663E-05  9.1351853E-06  2.6325264E-04  1.1997888E-03  1.7190985E-05  1.8760933E-07  6.7865504E-08  1.2588247E-08  2.1393512E-03
  1.2703956E-08  6.5429897E-08  1.7975641E-07  1.0364938E-05  3.5931280E-05  3.6742504E-05  8.6586235E-06  2.5269760E-04  1.1503735E-03  1.6526263E-05  1.7975641E-07  6.5429897E-08  1.2703956E-08  2.1378853E-03
  1.2775375E-08  6.3108669E-08  1.7235067E-07  9.9701046E-06  3.4635950E-05  3.5441578E-05  8.2179256E-06  2.4273293E-04  1.1037492E-03  1.5897925E-05  1.7235067E-07  6.3108669E-08  1.2775375E-08  2.1364154E-03
  1.2808725E-08  6.0895676E-08  1.6536027E-07  9.5966791E-06  3.3406252E-05  3.4206230E-05  7.8095454E-06  2.3331638E-04  1.0597151E-03  1.5303408E-05  1.6536027E-07  6.0895676E-08  1.2808725E-08  2.1349415E-03
  1.2809387E-08  5.8785086E-08  1.5875604E-07  9.2431682E-06  3.2237893E-05  3.3032182E-05  7.4303662E-06  2.2440938E-04  1.0180882E-03  1.4740373E-05  1.5875604E-07  5.8785086E-08  1.2809387E-08  2.1334636E-03
  1.2781908E-08  5.6771264E-08  1.5251116E-07  8.9082053E-06  3.1126926E-05  3.1915497E-05  7.0776397E-06  2.1597665E-04  9.7870086E-04  1.4206676E-05  1.5251116E-07  5.6771264E-08  1.2781908E-08  2.1319816E-03
  1.2730266E-08  5.4848923E-08  1.4660104E-07  8.5905382E-06  3.0069713E-05  3.0852547E-05  6.7489353E-06  2.0798587E-04  9.4139967E-04  1.3700351E-05  1.4660104E-07  5.4848923E-08  1.2730266E-08  2.1304955E-03
  1.2658062E-08  5.3013221E-08  1.4100324E-07  8.2890174E-06  2.9062898E-05  2.9839984E-05  6.4420987E-06  2.0040739E-04  9.0604398E-04  1.3219591E-05  1.4100324E-07  5.3013221E-08  1.2658062E-08  2.1290053E-03
  1.2568315E-08  5.1259475E-08  1.3569701E-07  8.0025862E-06  2.8103381E-05  2.8874718E-05  6.1552119E-06  1.9321398E-04  8.7250459E-04  1.2762735E-05  1.3569701E-07  5.1259475E-08  1.2568315E-08  2.1275110E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.9760808E-04  5.5501298E-04  5.5463729E-04  3.8684506E-03  5.1982522E-03  2.4806854E-02  3.1098434E-04  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.8706467E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.6228807E-04  4.7035215E-04  4.7019904E-04  2.3714069E-03  4.2303698E-03  2.0162942E-02  2.5616036E-04  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.8701638E-03
  0.0000000E+00  0.0000000E+00  1.0202337E-07  1.3592069E-04  4.0446611E-04  4.0449331E-04  1.5338307E-03  3.5185604E-03  1.6749888E-02  2.1506375E-04  1.0202337E-07  0.0000000E+00  0.0000000E+00  1.8696441E-03
  0.0000000E+00  0.0000000E+00  5.2962792E-07  1.1562942E-04  3.5193574E-04  3.5210914E-04  1.0299292E-03  2.9760216E-03  1.4149940E-02  1.8330265E-04  5.2962792E-07  0.0000000E+00  0.0000000E+00  1.8688991E-03
  0.0000000E+00  0.0000000E+00  7.1643271E-07  9.9569853E-05  3.0922260E-04  3.0951481E-04  7.1677425E-04  2.5513786E-03  1.2116202E-02  1.5814729E-04  7.1643271E-07  0.0000000E+00  0.0000000E+00  1.8681529E-03
  0.0000000E+00  0.0000000E+00  7.8243101E-07  8.6649556E-05  2.7400854E-04  2.7439754E-04  5.1450430E-04  2.2125150E-03  1.0494250E-02  1.3788406E-04  7.8243101E-07  0.0000000E+00  0.0000000E+00  1.8674053E-03
  0.0000000E+00  0.0000000E+00  7.8731850E-07  7.6103010E-05  2.4461904E-04  2.4508710E-04  3.7943874E-04  1.9376095E-03  9.1792084E-03  1.2131863E-04  7.8731850E-07  0.0000000E+00  0.0000000E+00  1.8666564E-03
  0.0000000E+00  0.0000000E+00  7.6180063E-07  6.7382820E-05  2.1982247E-04  2.2035528E-04  2.8659358E-04  1.7114004E-03  8.0977539E-03  1.0759947E-04  7.6180063E-07  0.0000000E+00  0.0000000E+00  1.8659062E-03
  0.0000000E+00  0.0000000E+00  7.2205420E-07  6.0090022E-05  1.9869744E-04  1.9928335E-04  2.2111621E-04  1.5229452E-03  7.1973306E-03  9.6106759E-05  7.2205420E-07  0.0000000E+00  0.0000000E+00  1.8651546E-03
  0.0000000E+00  2.8452867E-08  6.7658835E-07  5.3925334E-05  1.8052695E-04  1.8115639E-04  1.7324548E-04  1.3640536E-03  6.4386090E-03  8.6373571E-05  6.7658835E-07  2.8452867E-08  0.0000000E+00  1.8643349E-03
  0.0000000E+00  5.5682644E-08  6.2977233E-07  4.8649501E-05  1.6472825E-04  1.6539319E-04  1.3781907E-04  1.2284058E-03  5.7912896E-03  7.8029592E-05  6.2977233E-07  5.5682644E-08  0.0000000E+00  1.8634864E-03
  0.0000000E+00  7.2613330E-08  5.8409859E-07  4.4098976E-05  1.5090188E-04  1.5159564E-04  1.1131193E-04  1.1116777E-03  5.2346182E-03  7.0821496E-05  5.8409859E-07  7.2613330E-08  0.0000000E+00  1.8626362E-03
  0.0000000E+00  8.2707926E-08  5.4083818E-07  4.0147774E-05  1.3873262E-04  1.3944964E-04  9.1159680E-05  1.0105269E-03  4.7525487E-03  6.4553291E-05  5.4083818E-07  8.2707926E-08  0.0000000E+00  1.8617844E-03
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  0.0000000E+00  9.1092544E-08  4.2942807E-07  3.0985451E-05  1.0984637E-04  1.1060809E-04  5.3821752E-05  7.7671195E-04  3.6396271E-03  4.9978727E-05  4.2942807E-07  9.1092544E-08  0.0000000E+00  1.8592193E-03
  0.0000000E+00  9.0128471E-08  3.9837981E-07  2.8609290E-05  1.0218213E-04  1.0295249E-04  4.6104188E-05  7.1624915E-04  3.3522317E-03  4.6188582E-05  3.9837981E-07  9.0128471E-08  0.0000000E+00  1.8583609E-03
  0.0000000E+00  8.8267167E-08  3.7008183E-07  2.6491575E-05  9.5283570E-05  9.6060212E-05  3.9851617E-05  6.6242656E-04  3.0965695E-03  4.2806565E-05  3.7008183E-07  8.8267167E-08  0.0000000E+00  1.8575008E-03
  0.0000000E+00  8.5833211E-08  3.4430574E-07  2.4596432E-05  8.9052035E-05  8.9832977E-05  3.4733927E-05  6.1431363E-04  2.8681814E-03  3.9776478E-05  3.4430574E-07  8.5833211E-08  0.0000000E+00  1.8566391E-03
  0.0000000E+00  8.3051445E-08  3.2082300E-07  2.2893971E-05  8.3404290E-05  8.4187846E-05  3.0505035E-05  5.7113677E-04  2.6633617E-03  3.7051442E-05  3.2082300E-07  8.3051445E-08  0.0000000E+00  1.8557757E-03
  0.0000000E+00  8.0077152E-08  2.9941446E-07  2.1359137E-05  7.8269699E-05  7.9054436E-05  2.6979225E-05  5.3224867E-04  2.4790103E-03  3.4592110E-05  2.9941446E-07  8.0077152E-08  0.0000000E+00  1.8549106E-03
  0.0000000E+00  7.7017834E-08  2.7987638E-07  1.9970797E-05  7.3588006E-05  7.4372705E-05  2.4014928E-05  4.9710440E-04  2.3125186E-03  3.2365259E-05  2.7987638E-07  7.7017834E-08  0.0000000E+00  1.8540438E-03
  0.0000000E+00  7.3946245E-08  2.6202116E-07  1.8711034E-05  6.9307551E-05  7.0091177E-05  2.1503154E-05  4.6524258E-04  2.1616784E-03  3.0342683E-05  2.6202116E-07  7.3946245E-08  0.0000000E+00  1.8531754E-03
  0.0000000E+00  7.0915420E-08  2.4568283E-07  1.7564579E-05  6.5383845E-05  6.6165515E-05  1.9359179E-05  4.3627050E-04  2.0246111E-03  2.8500319E-05  2.4568283E-07  7.0915420E-08  0.0000000E+00  1.8523052E-03
  0.0000000E+00  6.7957434E-08  2.3070819E-07  1.6518349E-05  6.1778401E-05  6.2557366E-05  1.7516500E-05  4.0985225E-04  1.8997099E-03  2.6817529E-05  2.3070819E-07  6.7957434E-08  0.0000000E+00  1.8514333E-03
  0.0000000E+00  6.5094103E-08  2.1696156E-07  1.5561093E-05  5.8457788E-05  5.9233414E-05  1.5922528E-05  3.8569914E-04  1.7855948E-03  2.5276539E-05  2.1696156E-07  6.5094103E-08  0.0000000E+00  1.8505596E-03
  0.0000000E+00  6.2339091E-08  2.0432207E-07  1.4683085E-05  5.5392857E-05  5.6164605E-05  1.4535326E-05  3.6356197E-04  1.6810745E-03  2.3861974E-05  2.0432207E-07  6.2339091E-08  0.0000000E+00  1.8496843E-03
  0.0000000E+00  5.9697209E-08  1.9267908E-07  1.3875886E-05  5.2558091E-05  5.3325506E-05  1.3321234E-05  3.4322475E-04  1.5851173E-03  2.2560479E-05  1.9267908E-07  5.9697209E-08  0.0000000E+00  1.8488072E-03
  6.3664553E-10  5.7172918E-08  1.8193515E-07  1.3134803E-05  4.9933163E-05  5.0695854E-05  1.2238035E-05  3.2449666E-04  1.4968015E-03  2.1362926E-05  1.8193515E-07  5.7172918E-08  6.3664553E-10  1.8477248E-03
  1.7011258E-09  5.4762083E-08  1.7198822E-07  1.2451638E-05  4.7493780E-05  4.8251381E-05  1.1268318E-05  3.0718549E-04  1.4152151E-03  2.0256685E-05  1.7198822E-07  5.4762083E-08  1.7011258E-09  1.8464539E-03
  2.5913675E-09  5.2461897E-08  1.6276277E-07  1.1818204E-05  4.5220283E-05  4.5972480E-05  1.0408020E-05  2.9114878E-04  1.3396884E-03  1.9230354E-05  1.6276277E-07  5.2461897E-08  2.5913675E-09  1.8451796E-03
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  3.9538655E-09  4.8185654E-08  1.4622915E-07  1.0682613E-05  4.1114776E-05  4.1855421E-05  8.9557240E-06  2.6243613E-04  1.2046040E-03  1.7388845E-05  1.4622915E-07  4.8185654E-08  3.9538655E-09  1.8426214E-03
  4.4677155E-09  4.6203204E-08  1.3881244E-07  1.0172717E-05  3.9258294E-05  3.9992874E-05  8.3398397E-06  2.4956058E-04  1.1440933E-03  1.6561310E-05  1.3881244E-07  4.6203204E-08  4.4677155E-09  1.8413373E-03
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  5.2402400E-09  4.2529546E-08  1.2544654E-07  9.2524030E-06  3.5885735E-05  3.6607778E-05  7.2825963E-06  2.2635053E-04  1.0351280E-03  1.5066587E-05  1.2544654E-07  4.2529546E-08  5.2402400E-09  1.8387592E-03
  5.5234615E-09  4.0829620E-08  1.1941762E-07  8.8364598E-06  3.4351837E-05  3.5067465E-05  6.8269806E-06  2.1587384E-04  9.8599524E-04  1.4390556E-05  1.1941762E-07  4.0829620E-08  5.5234615E-09  1.8374651E-03
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  6.0706210E-09  3.6223686E-08  1.0354386E-07  7.7379151E-06  3.0269817E-05  3.0965873E-05  5.6872143E-06  1.8824843E-04  8.5661882E-04  1.2603598E-05  1.0354386E-07  3.6223686E-08  6.0706210E-09  1.8335624E-03
  6.1752678E-09  3.4838807E-08  9.8896284E-08  7.4151077E-06  2.9061337E-05  2.9750821E-05  5.3692142E-06  1.8014418E-04  8.1871941E-04  1.2078075E-05  9.8896284E-08  3.4838807E-08  6.1752678E-09  1.8322547E-03
  6.2499553E-09  3.3522233E-08  9.4529733E-08  7.1112412E-06  2.7919839E-05  2.8602748E-05  5.0766609E-06  1.7252160E-04  7.8309770E-04  1.1583205E-05  9.4529733E-08  3.3522233E-08  6.2499553E-09  1.8309435E-03
  6.2989829E-09  3.2270186E-08  9.0423093E-08  6.8248957E-06  2.6840569E-05  2.7516915E-05  4.8068920E-06  1.6534430E-04  7.4958054E-04  1.1116706E-05  9.0423093E-08  3.2270186E-08  6.2989829E-09  1.8296288E-03
  6.3261030E-09  3.1079134E-08  8.6557181E-08  6.5547800E-06  2.5819184E-05  2.6488988E-05  4.5575857E-06  1.5857920E-04  7.1801065E-04  1.0676500E-05  8.6557181E-08  3.1079134E-08  6.3261030E-09  1.8283106E-03
  6.3344575E-09  2.9945632E-08  8.2914404E-08  6.2997180E-06  2.4851711E-05  2.5515001E-05  4.3267081E-06  1.5219620E-04  6.8824493E-04  1.0260694E-05  8.2914404E-08  2.9945632E-08  6.3344575E-09  1.8269889E-03
  6.3267989E-09  2.8866474E-08  7.9478736E-08  6.0586371E-06  2.3934505E-05  2.4591319E-05  4.1124735E-06  1.4616786E-04  6.6015293E-04  9.8675599E-06  7.9478736E-08  2.8866474E-08  6.3267989E-09  1.8256637E-03
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  6.2287718E-09  2.5924456E-08  7.0272619E-08  5.4098855E-06  2.1452378E-05  2.2090049E-05  3.5547817E-06  1.2997061E-04  5.8477870E-04  8.8090447E-06  7.0272619E-08  2.5924456E-08  6.2287718E-09  1.8216664E-03
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  2.9972158E-10  2.6824950E-08  8.7390965E-08  8.4760032E-06  3.6850052E-05  3.7477388E-05  6.4950894E-06  2.0848435E-04  9.5576460E-04  1.4103139E-05  8.7390965E-08  2.6824950E-08  2.9972158E-10  1.5632372E-03
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  1.2154595E-09  2.4504883E-08  7.7801973E-08  7.5917567E-06  3.3173206E-05  3.3787120E-05  5.5083711E-06  1.8621705E-04  8.5135635E-04  1.2634438E-05  7.7801973E-08  2.4504883E-08  1.2154595E-09  1.5609993E-03
  1.5613317E-09  2.3431210E-08  7.3534687E-08  7.1980426E-06  3.1525660E-05  3.2132688E-05  5.0959111E-06  1.7631459E-04  8.0498580E-04  1.1980033E-05  7.3534687E-08  2.3431210E-08  1.5613317E-09  1.5598761E-03
  1.8479788E-09  2.2412677E-08  6.9577036E-08  6.8326156E-06  2.9990429E-05  3.0590500E-05  4.7273408E-06  1.6713094E-04  7.6201802E-04  1.1372381E-05  6.9577036E-08  2.2412677E-08  1.8479788E-09  1.5587502E-03
  2.0845695E-09  2.1447061E-08  6.5901656E-08  6.4929026E-06  2.8557801E-05  2.9150871E-05  4.3966880E-06  1.5860030E-04  7.2213959E-04  1.0807257E-05  6.5901656E-08  2.1447061E-08  2.0845695E-09  1.5576213E-03
  2.2787329E-09  2.0531945E-08  6.2483931E-08  6.1766118E-06  2.7219073E-05  2.7805122E-05  4.0989468E-06  1.5066412E-04  6.8507162E-04  1.0280893E-05  6.2483931E-08  2.0531945E-08  2.2787329E-09  1.5564896E-03
  2.4369001E-09  1.9664872E-08  5.9301762E-08  5.8816972E-06  2.5966436E-05  2.6545463E-05  3.8299005E-06  1.4327014E-04  6.5056540E-04  9.7899213E-06  5.9301762E-08  1.9664872E-08  2.4369001E-09  1.5553550E-03
  2.5645036E-09  1.8843399E-08  5.6335268E-08  5.6063276E-06  2.4792863E-05  2.5364885E-05  3.5859793E-06  1.3637162E-04  6.1839861E-04  9.3313288E-06  5.6335268E-08  1.8843399E-08  2.5645036E-09  1.5542175E-03
  2.6659297E-09  1.8064907E-08  5.3566323E-08  5.3488607E-06  2.3692018E-05  2.4257067E-05  3.3641471E-06  1.2992667E-04  5.8837203E-04  8.9024098E-06  5.3566323E-08  1.8064907E-08  2.6659297E-09  1.5530771E-03
  2.7450878E-09  1.7327066E-08  5.0978769E-08  5.1078202E-06  2.2658181E-05  2.3216301E-05  3.1618102E-06  1.2389763E-04  5.6030678E-04  8.5007307E-06  5.0978769E-08  1.7327066E-08  2.7450878E-09  1.5519338E-03
  2.8053088E-09  1.6627637E-08  4.8558005E-08  4.8818765E-06  2.1686173E-05  2.2237418E-05  2.9767435E-06  1.1825062E-04  5.3404194E-04  8.1240989E-06  4.8558005E-08  1.6627637E-08  2.8053088E-09  1.5507875E-03
  2.8493944E-09  1.5964435E-08  4.6290778E-08  4.6698297E-06  2.0771299E-05  2.1315732E-05  2.8070292E-06  1.1295509E-04  5.0943239E-04  7.7705340E-06  4.6290778E-08  1.5964435E-08  2.8493944E-09  1.5496382E-03
  2.8795290E-09  1.5335173E-08  4.4164867E-08  4.4705944E-06  1.9909295E-05  2.0446985E-05  2.6510087E-06  1.0798339E-04  4.8634705E-04  7.4382440E-06  4.4164867E-08  1.5335173E-08  2.8795290E-09  1.5484859E-03
  2.8978011E-09  1.4737920E-08  4.2169409E-08  4.2831877E-06  1.9096279E-05  1.9627304E-05  2.5072414E-06  1.0331051E-04  4.6466731E-04  7.1256050E-06  4.2169409E-08  1.4737920E-08  2.8978011E-09  1.5473307E-03
  2.9060550E-09  1.4170904E-08  4.0294580E-08  4.1067178E-06  1.8328717E-05  1.8853159E-05  2.3744726E-06  9.8913765E-05  4.4428561E-04  6.8311427E-06  4.0294580E-08  1.4170904E-08  2.9060550E-09  1.5461724E-03
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  2.8982172E-09  1.3120552E-08  3.6871410E-08  3.7834166E-06  1.6917322E-05  1.7428856E-05  2.1376716E-06  9.0868059E-05  4.0703451E-04  6.2915028E-06  3.6871410E-08  1.3120552E-08  2.8982172E-09  1.5438467E-03
  2.8843595E-09  1.2633831E-08  3.5307161E-08  3.6351734E-06  1.6267836E-05  1.6773052E-05  2.0318270E-06  8.7183225E-05  3.8999530E-04  6.0439884E-06  3.5307161E-08  1.2633831E-08  2.8843595E-09  1.5426792E-03
  2.8650845E-09  1.2170644E-08  3.3831647E-08  3.4950288E-06  1.5652448E-05  1.6151438E-05  1.9333206E-06  8.3702418E-05  3.7391280E-04  5.8099539E-06  3.3831647E-08  1.2170644E-08  2.8650845E-09  1.5415087E-03
  2.8414634E-09  1.1729864E-08  3.2438831E-08  3.3624201E-06  1.5068883E-05  1.5561744E-05  1.8414890E-06  8.0411357E-05  3.5871949E-04  5.5884672E-06  3.2438831E-08  1.1729864E-08  2.8414634E-09  1.5403350E-03
  2.8141414E-09  1.1310135E-08  3.1122890E-08  3.2368320E-06  1.4515052E-05  1.5001878E-05  1.7557418E-06  7.7296963E-05  3.4435358E-04  5.3786736E-06  3.1122890E-08  1.1310135E-08  2.8141414E-09  1.5391582E-03
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  1.2867608E-10  1.1451384E-08  3.8265116E-08  5.1627337E-06  2.5662295E-05  2.6144342E-05  3.1916952E-06  1.2675947E-04  5.7500931E-04  8.7869316E-06  3.8265116E-08  1.1451384E-08  1.2867608E-10  1.3003274E-03
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  5.1967169E-10  1.0409589E-08  3.3882697E-08  4.6008311E-06  2.2952566E-05  2.3420627E-05  2.6985747E-06  1.1264651E-04  5.0946067E-04  7.8299681E-06  3.3882697E-08  1.0409589E-08  5.1967169E-10  1.2984077E-03
  6.6621953E-10  9.9300402E-09  3.1941230E-08  4.3516255E-06  2.1744647E-05  2.2205726E-05  2.4928635E-06  1.0639467E-04  4.8046806E-04  7.4053389E-06  3.1941230E-08  9.9300402E-09  6.6621953E-10  1.2974443E-03
  7.8699215E-10  9.4765984E-09  3.0145750E-08  4.1209036E-06  2.0622779E-05  2.1076913E-05  2.3092586E-06  1.0061098E-04  4.5367329E-04  7.0120865E-06  3.0145750E-08  9.4765984E-09  7.8699215E-10  1.2964785E-03
  8.8604777E-10  9.0480375E-09  2.8482917E-08  3.9069410E-06  1.9579249E-05  2.0026492E-05  2.1447222E-06  9.5251545E-05  4.2886868E-04  6.6472976E-06  2.8482917E-08  9.0480375E-09  8.8604777E-10  1.2955103E-03
  9.6675137E-10  8.6430737E-09  2.6940781E-08  3.7082060E-06  1.8607175E-05  1.9047594E-05  1.9967137E-06  9.0277379E-05  4.0586996E-04  6.3083824E-06  2.6940781E-08  8.6430737E-09  9.6675137E-10  1.2945396E-03
  1.0319596E-09  8.2604619E-09  2.5508677E-08  3.5233346E-06  1.7700398E-05  1.8134072E-05  1.8630977E-06  8.5653787E-05  3.8451319E-04  5.9930335E-06  2.5508677E-08  8.2604619E-09  1.0319596E-09  1.2935666E-03
  1.0840763E-09  7.8989780E-09  2.4177041E-08  3.3511090E-06  1.6853399E-05  1.7280415E-05  1.7420697E-06  8.1349806E-05  3.6465217E-04  5.6991900E-06  2.4177041E-08  7.8989780E-09  1.0840763E-09  1.2925910E-03
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  1.1795987E-09  6.9285821E-09  2.0702206E-08  2.8999596E-06  1.4623872E-05  1.5031507E-05  1.4402833E-06  7.0092611E-05  3.1280357E-04  4.9291653E-06  2.0702206E-08  6.9285821E-09  1.1795987E-09  1.2896496E-03
  1.1961435E-09  6.6395821E-09  1.9694073E-08  2.7684809E-06  1.3971039E-05  1.4372427E-05  1.3563572E-06  6.6817176E-05  2.9774723E-04  4.7046787E-06  1.9694073E-08  6.6395821E-09  1.1961435E-09  1.2886641E-03
  1.2067384E-09  6.3659142E-09  1.8750813E-08  2.6451991E-06  1.3357588E-05  1.3752840E-05  1.2792646E-06  6.3748373E-05  2.8365423E-04  4.4941575E-06  1.8750813E-08  6.3659142E-09  1.2067384E-09  1.2876761E-03
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  1.1891484E-09  4.9992482E-09  1.4197992E-08  2.0454519E-06  1.0353930E-05  1.0714746E-05  9.2557310E-07  4.8858535E-05  2.1548998E-04  3.4696281E-06  1.4197992E-08  4.9992482E-09  1.1891484E-09  1.2816942E-03
  1.1775188E-09  4.8102130E-09  1.3588779E-08  1.9644819E-06  9.9458239E-06  1.0301296E-05  8.8045374E-07  4.6854229E-05  2.0634613E-04  3.3312700E-06  1.3588779E-08  4.8102130E-09  1.1775188E-09  1.2806881E-03
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  0.0000000E+00  5.2174833E-09  6.4249513E-08  1.3168633E-05  7.0328365E-05  7.0739620E-05  1.9440192E-05  3.2901071E-04  1.5163800E-03  2.2789937E-05  6.4249513E-08  5.2174833E-09  0.0000000E+00  1.0682470E-03
  0.0000000E+00  6.6734292E-09  5.8477550E-08  1.1754081E-05  6.3166607E-05  6.3584324E-05  1.5331477E-05  2.9341073E-04  1.3496325E-03  2.0356654E-05  5.8477550E-08  6.6734292E-09  0.0000000E+00  1.0676899E-03
  0.0000000E+00  7.4666319E-09  5.3202485E-08  1.0545392E-05  5.6997235E-05  5.7418227E-05  1.2292635E-05  2.6301045E-04  1.2074565E-03  1.8275363E-05  5.3202485E-08  7.4666319E-09  0.0000000E+00  1.0671319E-03
  0.0000000E+00  7.8349606E-09  4.8435472E-08  9.5053773E-06  5.1648481E-05  5.2070292E-05  1.0006177E-05  2.3686728E-04  1.0853709E-03  1.6482793E-05  4.8435472E-08  7.8349606E-09  0.0000000E+00  1.0665728E-03
  0.0000000E+00  7.9302095E-09  4.4153253E-08  8.6047674E-06  4.6983829E-05  4.7404561E-05  8.2582363E-06  2.1424025E-04  9.7985747E-04  1.4929100E-05  4.4153253E-08  7.9302095E-09  0.0000000E+00  1.0660127E-03
  0.0000000E+00  7.8520316E-09  4.0318770E-08  7.8202943E-06  4.2893726E-05  4.3311917E-05  6.9020884E-06  1.9454083E-04  8.8812505E-04  1.3574614E-05  4.0318770E-08  7.8520316E-09  0.0000000E+00  1.0654517E-03
  0.0000000E+00  7.6647808E-09  3.6888496E-08  7.1332822E-06  3.9289473E-05  3.9703999E-05  5.8353525E-06  1.7729704E-04  8.0793788E-04  1.2387462E-05  3.6888496E-08  7.6647808E-09  0.0000000E+00  1.0648897E-03
  0.0000000E+00  7.4119351E-09  3.3819958E-08  6.5286137E-06  3.6098667E-05  3.6508671E-05  4.9854588E-06  1.6212706E-04  7.3748928E-04  1.1341820E-05  3.3819958E-08  7.4119351E-09  0.0000000E+00  1.0643266E-03
  0.0000000E+00  7.1219392E-09  3.1072516E-08  5.9939521E-06  3.3261760E-05  3.3666593E-05  4.3001962E-06  1.4871948E-04  6.7530733E-04  1.0416592E-05  3.1072516E-08  7.1219392E-09  0.0000000E+00  1.0637626E-03
  0.0000000E+00  6.8133360E-09  2.8608735E-08  5.5191549E-06  3.0729429E-05  3.1128609E-05  3.7415103E-06  1.3681842E-04  6.2018383E-04  9.5944187E-06  2.8608735E-08  6.8133360E-09  0.0000000E+00  1.0631975E-03
  0.0000000E+00  6.4988668E-09  2.6395648E-08  5.0958264E-06  2.8460557E-05  2.8853731E-05  3.2812707E-06  1.2621215E-04  5.7112008E-04  8.8609186E-06  2.6395648E-08  6.4988668E-09  0.0000000E+00  1.0626315E-03
  0.0000000E+00  6.1867545E-09  2.4403895E-08  4.7169719E-06  2.6420656E-05  2.6807578E-05  2.8984494E-06  1.1672433E-04  5.2728514E-04  8.2040984E-06  2.4403895E-08  6.1867545E-09  0.0000000E+00  1.0620644E-03
  0.0000000E+00  5.8828322E-09  2.2608205E-08  4.3767291E-06  2.4580634E-05  2.4961140E-05  2.5771502E-06  1.0820722E-04  4.8798350E-04  7.6138983E-06  2.2608205E-08  5.8828322E-09  0.0000000E+00  1.0614963E-03
  0.0000000E+00  5.5889110E-09  2.0984492E-08  4.0701551E-06  2.2915820E-05  2.3289812E-05  2.3052200E-06  1.0053632E-04  4.5262966E-04  7.0818306E-06  2.0984492E-08  5.5889110E-09  0.0000000E+00  1.0609272E-03
  0.0000000E+00  5.3076250E-09  1.9513693E-08  3.7930634E-06  2.1405189E-05  2.1772623E-05  2.0732676E-06  9.3606173E-05  4.2072812E-04  6.6006998E-06  1.9513693E-08  5.3076250E-09  0.0000000E+00  1.0603570E-03
  0.0000000E+00  5.0398685E-09  1.8178439E-08  3.5418881E-06  2.0030737E-05  2.0391608E-05  1.8739729E-06  8.7327007E-05  3.9185742E-04  6.1643729E-06  1.8178439E-08  5.0398685E-09  0.0000000E+00  1.0597858E-03
  0.0000000E+00  4.7859645E-09  1.6963592E-08  3.3135789E-06  1.8776979E-05  1.9131318E-05  1.7015774E-06  8.1622031E-05  3.6565739E-04  5.7676000E-06  1.6963592E-08  4.7859645E-09  0.0000000E+00  1.0592136E-03
  0.0000000E+00  4.5472305E-09  1.5857325E-08  3.1055156E-06  1.7630542E-05  1.7978405E-05  1.5515130E-06  7.6425276E-05  3.4181893E-04  5.4058677E-06  1.5857325E-08  4.5472305E-09  0.0000000E+00  1.0586403E-03
  4.8971420E-11  4.3217465E-09  1.4846262E-08  2.9161925E-06  1.6580327E-05  1.6921785E-05  1.4183934E-06  7.1679205E-05  3.2006984E-04  5.0759912E-06  1.4846262E-08  4.3217465E-09  4.8971420E-11  1.0579495E-03
  1.3002682E-10  4.1083161E-09  1.3918458E-08  2.7431654E-06  1.5614521E-05  1.5949638E-05  1.2998624E-06  6.7327496E-05  3.0014851E-04  4.7739043E-06  1.3918458E-08  4.1083161E-09  1.3002682E-10  1.0571506E-03
  1.9684838E-10  3.9069341E-09  1.3065832E-08  2.5840096E-06  1.4723794E-05  1.5052647E-05  1.1951523E-06  6.3327754E-05  2.8185957E-04  4.4959817E-06  1.3065832E-08  3.9069341E-09  1.9684838E-10  1.0563497E-03
  2.5178549E-10  3.7170874E-09  1.2281047E-08  2.4373375E-06  1.3900869E-05  1.4223548E-05  1.1022167E-06  5.9644615E-05  2.6503760E-04  4.2398145E-06  1.2281047E-08  3.7170874E-09  2.5178549E-10  1.0555468E-03
  2.9676612E-10  3.5382074E-09  1.1557575E-08  2.3019268E-06  1.3139314E-05  1.3455919E-05  1.0193688E-06  5.6246938E-05  2.4953707E-04  4.0032797E-06  1.1557575E-08  3.5382074E-09  2.9676612E-10  1.0547420E-03
  3.3338630E-10  3.3697060E-09  1.0889612E-08  2.1766977E-06  1.2433420E-05  1.2744059E-05  9.4520911E-07  5.3107223E-05  2.3522954E-04  3.7845009E-06  1.0889612E-08  3.3697060E-09  3.3338630E-10  1.0539352E-03
  3.6296432E-10  3.2109853E-09  1.0271979E-08  2.0606937E-06  1.1778114E-05  1.2082901E-05  8.7857030E-07  5.0201120E-05  2.2200141E-04  3.5818151E-06  1.0271979E-08  3.2109853E-09  3.6296432E-10  1.0531264E-03
  3.8664154E-10  3.0615007E-09  9.7000988E-09  1.9530654E-06  1.1168873E-05  1.1467926E-05  8.1847308E-07  4.7507012E-05  2.0975191E-04  3.3937452E-06  9.7000988E-09  3.0615007E-09  3.8664154E-10  1.0523156E-03
  4.0537041E-10  2.9207173E-09  9.1698748E-09  1.8530567E-06  1.0601659E-05  1.0895099E-05  7.6409154E-07  4.5005662E-05  1.9839141E-04  3.2189754E-06  9.1698748E-09  2.9207173E-09  4.0537041E-10  1.0515028E-03
  4.1976887E-10  2.7879377E-09  8.6774577E-09  1.7599929E-06  1.0072853E-05  1.0360803E-05  7.1472553E-07  4.2679913E-05  1.8784006E-04  3.0563312E-06  8.6774577E-09  2.7879377E-09  4.1976887E-10  1.0506879E-03
  4.3057369E-10  2.6627321E-09  8.2196210E-09  1.6732704E-06  9.5792096E-06  9.8617939E-06  6.6977871E-07  4.0514423E-05  1.7802649E-04  2.9047617E-06  8.2196210E-09  2.6627321E-09  4.3057369E-10  1.0498710E-03
  4.3839785E-10  2.5446770E-09  7.7934533E-09  1.5923485E-06  9.1178118E-06  9.3951537E-06  6.2874078E-07  3.8495447E-05  1.6888685E-04  2.7633249E-06  7.7934533E-09  2.5446770E-09  4.3839785E-10  1.0490520E-03
  4.4372143E-10  2.4333292E-09  7.3962941E-09  1.5167415E-06  8.6860301E-06  8.9582531E-06  5.9117298E-07  3.6610643E-05  1.6036382E-04  2.6311742E-06  7.3962941E-09  2.4333292E-09  4.4372143E-10  1.0482310E-03
  4.4676461E-10  2.3280845E-09  7.0255583E-09  1.4460118E-06  8.2814916E-06  8.5487179E-06  5.5669654E-07  3.4848911E-05  1.5240587E-04  2.5075473E-06  7.0255583E-09  2.3280845E-09  4.4676461E-10  1.0474079E-03
  4.4794052E-10  2.2286187E-09  6.6791481E-09  1.3797655E-06  7.9020505E-06  8.1644011E-06  5.2498313E-07  3.3200241E-05  1.4496662E-04  2.3917569E-06  6.6791481E-09  2.2286187E-09  4.4794052E-10  1.0465827E-03
  4.4763772E-10  2.1346594E-09  6.3552002E-09  1.3176464E-06  7.5457630E-06  7.8033570E-06  4.9574716E-07  3.1655596E-05  1.3800419E-04  2.2831817E-06  6.3552002E-09  2.1346594E-09  4.4763772E-10  1.0457554E-03
  4.4606679E-10  2.0458234E-09  6.0519018E-09  1.2593321E-06  7.2108651E-06  7.4638197E-06  4.6873895E-07  3.0206799E-05  1.3148071E-04  2.1812594E-06  6.0519018E-09  2.0458234E-09  4.4606679E-10  1.0449260E-03
  4.4347574E-10  1.9618246E-09  5.7676790E-09  1.2045304E-06  6.8957535E-06  7.1441836E-06  4.4373972E-07  2.8846440E-05  1.2536191E-04  2.0854798E-06  5.7676790E-09  1.9618246E-09  4.4347574E-10  1.0440945E-03
  4.3987034E-10  1.8821871E-09  5.5008947E-09  1.1529757E-06  6.5989682E-06  6.8429866E-06  4.2055699E-07  2.7567792E-05  1.1961669E-04  1.9953796E-06  5.5008947E-09  1.8821871E-09  4.3987034E-10  1.0432608E-03
  4.3537058E-10  1.8065961E-09  5.2501844E-09  1.1044267E-06  6.3191784E-06  6.5588952E-06  3.9902091E-07  2.6364737E-05  1.1421680E-04  1.9105372E-06  5.2501844E-09  1.8065961E-09  4.3537058E-10  1.0424250E-03
  4.3033560E-10  1.7350173E-09  5.0145637E-09  1.0586636E-06  6.0551688E-06  6.2906916E-06  3.7898121E-07  2.5231705E-05  1.0913651E-04  1.8305685E-06  5.0145637E-09  1.7350173E-09  4.3033560E-10  1.0415870E-03
  4.2481408E-10  1.6671428E-09  4.7928633E-09  1.0154856E-06  5.8058279E-06  6.0372618E-06  3.6030432E-07  2.4163616E-05  1.0435240E-04  1.7551230E-06  4.7928633E-09  1.6671428E-09  4.2481408E-10  1.0407468E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.1974911E-05  2.3763391E-04  2.3731736E-04  4.4325101E-04  1.0629076E-03  4.9391555E-03  7.3695916E-05  0.0000000E+00  0.0000000E+00  0.0000000E+00  8.4821498E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.2680168E-05  1.8800045E-04  1.8788432E-04  2.4503631E-04  8.2626101E-04  3.8257584E-03  5.7491392E-05  0.0000000E+00  0.0000000E+00  0.0000000E+00  8.4796848E-04
  0.0000000E+00  0.0000000E+00  5.2597134E-09  2.6123967E-05  1.5239541E-04  1.5241305E-04  1.4435618E-04  6.5987337E-04  3.0453600E-03  4.6040730E-05  5.2597134E-09  0.0000000E+00  0.0000000E+00  8.4769163E-04
  0.0000000E+00  0.0000000E+00  2.5717390E-08  2.1325322E-05  1.2586928E-04  1.2597838E-04  8.9200830E-05  5.3802207E-04  2.4754475E-03  3.7631433E-05  2.5717390E-08  0.0000000E+00  0.0000000E+00  8.4728791E-04
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  0.0000000E+00  0.0000000E+00  3.4406882E-08  1.4890334E-05  8.9627377E-05  8.9843725E-05  3.8689361E-05  3.7502541E-04  1.7159166E-03  2.6335379E-05  3.4406882E-08  0.0000000E+00  0.0000000E+00  8.4647858E-04
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  0.0000000E+00  0.0000000E+00  3.0943065E-08  1.0912491E-05  6.6715946E-05  6.6983461E-05  1.9243481E-05  2.7446100E-04  1.2494619E-03  1.9335539E-05  3.0943065E-08  0.0000000E+00  0.0000000E+00  8.4566672E-04
  0.0000000E+00  0.0000000E+00  2.8341172E-08  9.4770703E-06  5.8325168E-05  5.8606466E-05  1.4155089E-05  2.3820393E-04  1.0818263E-03  1.6805153E-05  2.8341172E-08  0.0000000E+00  0.0000000E+00  8.4525985E-04
  0.0000000E+00  9.5942997E-10  2.5736445E-08  8.2968389E-06  5.1364022E-05  5.1653973E-05  1.0628756E-05  2.0838550E-04  9.4422435E-04  1.4721847E-05  2.5736445E-08  9.5942997E-10  0.0000000E+00  8.4482204E-04
  0.0000000E+00  1.8219782E-09  2.3270862E-08  7.3125010E-06  4.5512327E-05  4.5807048E-05  8.1409476E-06  1.8351981E-04  8.2969269E-04  1.2982474E-05  2.3270862E-08  1.8219782E-09  0.0000000E+00  8.4437116E-04
  0.0000000E+00  2.3113284E-09  2.1009461E-08  6.4837786E-06  4.0550946E-05  4.0847544E-05  6.3576216E-06  1.6259366E-04  7.3348151E-04  1.1516815E-05  2.1009461E-08  2.3113284E-09  0.0000000E+00  8.4391949E-04
  0.0000000E+00  2.5665592E-09  1.8970384E-08  5.7804384E-06  3.6312679E-05  3.6609001E-05  5.0537617E-06  1.4484031E-04  6.5200092E-04  1.0271905E-05  1.8970384E-08  2.5665592E-09  0.0000000E+00  8.4346706E-04
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  0.0000000E+00  2.6896498E-09  1.5529095E-08  4.6615900E-06  2.9512013E-05  2.9803397E-05  3.3475066E-06  1.1661407E-04  5.2277263E-04  8.2894411E-06  1.5529095E-08  2.6896498E-09  0.0000000E+00  8.4255981E-04
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  0.0000000E+00  1.9183090E-09  7.6207261E-09  2.2817964E-06  1.4742953E-05  1.4993103E-05  1.0122475E-06  5.6674914E-05  2.5020784E-04  4.0622385E-06  7.6207261E-09  1.9183090E-09  0.0000000E+00  8.3889902E-04
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  0.0000000E+00  1.7173147E-09  6.5214355E-09  1.9617428E-06  1.2715453E-05  1.2954433E-05  8.1037860E-07  4.8632021E-05  2.1392569E-04  3.4924099E-06  6.5214355E-09  1.7173147E-09  0.0000000E+00  8.3797575E-04
  0.0000000E+00  1.6245848E-09  6.0504238E-09  1.8248599E-06  1.1844501E-05  1.2078019E-05  7.3082982E-07  4.5194476E-05  1.9845018E-04  3.2485915E-06  6.0504238E-09  1.6245848E-09  0.0000000E+00  8.3751287E-04
  0.0000000E+00  1.5370000E-09  5.6236397E-09  1.7009208E-06  1.1053802E-05  1.1281965E-05  6.6215813E-07  4.2083393E-05  1.8446269E-04  3.0277709E-06  5.6236397E-09  1.5370000E-09  0.0000000E+00  8.3704917E-04
  0.0000000E+00  1.4560168E-09  5.2375857E-09  1.5883983E-06  1.0334119E-05  1.0557042E-05  6.0249074E-07  3.9260147E-05  1.7178572E-04  2.8272419E-06  5.2375857E-09  1.4560168E-09  0.0000000E+00  8.3658465E-04
  1.5815096E-11  1.3797248E-09  4.8860572E-09  1.4864122E-06  9.6777453E-06  9.8955505E-06  5.4966529E-07  3.6691233E-05  1.6026389E-04  2.6450853E-06  4.8860572E-09  1.3797248E-09  1.5815096E-11  8.3602720E-04
  4.1874692E-11  1.3073813E-09  4.5643211E-09  1.3935567E-06  9.0767169E-06  9.2895137E-06  5.0271841E-07  3.4344218E-05  1.4974950E-04  2.4789042E-06  4.5643211E-09  1.3073813E-09  4.1874692E-11  8.3538432E-04
  6.3220758E-11  1.2394166E-09  4.2697969E-09  1.3084372E-06  8.5247614E-06  8.7326636E-06  4.6130721E-07  3.2194557E-05  1.4013161E-04  2.3265654E-06  4.2697969E-09  1.2394166E-09  6.3220758E-11  8.3473990E-04
  8.0648091E-11  1.1756075E-09  3.9997217E-09  1.2302556E-06  8.0169307E-06  8.2200563E-06  4.2460335E-07  3.0221801E-05  1.3131647E-04  2.1866436E-06  3.9997217E-09  1.1756075E-09  8.0648091E-11  8.3409389E-04
  9.4806793E-11  1.1157190E-09  3.7516517E-09  1.1583113E-06  7.5488677E-06  7.7473375E-06  3.9192583E-07  2.8408005E-05  1.2322189E-04  2.0578873E-06  3.7516517E-09  1.1157190E-09  9.4806793E-11  8.3344631E-04
  1.0623035E-10  1.0595130E-09  3.5234210E-09  1.0919877E-06  7.1167247E-06  7.3106612E-06  3.6271130E-07  2.6737377E-05  1.1577559E-04  1.9391943E-06  3.5234210E-09  1.0595130E-09  1.0623035E-10  8.3279716E-04
  1.1535777E-10  1.0067537E-09  3.3131068E-09  1.0307403E-06  6.7170956E-06  6.9066214E-06  3.3649074E-07  2.5195980E-05  1.0891385E-04  1.8295914E-06  3.3131068E-09  1.0067537E-09  1.1535777E-10  8.3214642E-04
  1.2258983E-10  9.5725011E-10  3.1190373E-09  9.7408720E-07  6.3469569E-06  6.5321943E-06  3.1287152E-07  2.3771483E-05  1.0258034E-04  1.7282168E-06  3.1190373E-09  9.5725011E-10  1.2258983E-10  8.3149406E-04
  1.2825366E-10  9.1080894E-10  2.9397162E-09  9.2160080E-07  6.0036187E-06  6.1846887E-06  2.9152307E-07  2.2452946E-05  9.6725133E-05  1.6343055E-06  2.9397162E-09  9.1080894E-10  1.2825366E-10  8.3084010E-04
  1.3247596E-10  8.6709798E-10  2.7736612E-09  8.7290058E-07  5.6846819E-06  5.8617038E-06  2.7216553E-07  2.1230641E-05  9.1303887E-05  1.5471770E-06  2.7736612E-09  8.6709798E-10  1.3247596E-10  8.3018453E-04
  1.3554550E-10  8.2600033E-10  2.6197383E-09  8.2764737E-07  5.3880023E-06  5.5610935E-06  2.5456086E-07  2.0095899E-05  8.6277102E-05  1.4662242E-06  2.6197383E-09  8.2600033E-10  1.3554550E-10  8.2952733E-04
  1.3769346E-10  7.8738771E-10  2.4769170E-09  7.8553818E-07  5.1116594E-06  5.2809345E-06  2.3850557E-07  1.9040975E-05  8.1609528E-05  1.3909047E-06  2.4769170E-09  7.8738771E-10  1.3769346E-10  8.2886849E-04
  1.3908181E-10  7.5110281E-10  2.3442382E-09  7.4630155E-07  4.8539290E-06  5.0195002E-06  2.2382485E-07  1.8058935E-05  7.7269636E-05  1.3207325E-06  2.3442382E-09  7.5110281E-10  1.3908181E-10  8.2820798E-04
  1.3969761E-10  7.1684849E-10  2.2206907E-09  7.0969376E-07  4.6132607E-06  4.7752373E-06  2.1036792E-07  1.7143559E-05  7.3229170E-05  1.2552713E-06  2.2206907E-09  7.1684849E-10  1.3969761E-10  8.2754585E-04
  1.3971588E-10  6.8454622E-10  2.1055582E-09  6.7549581E-07  4.3882573E-06  4.5467458E-06  1.9800415E-07  1.6289257E-05  6.9462750E-05  1.1941289E-06  2.1055582E-09  6.8454622E-10  1.3971588E-10  8.2688205E-04
  1.3931149E-10  6.5414421E-10  1.9982186E-09  6.4351046E-07  4.1776576E-06  4.3327614E-06  1.8661998E-07  1.5490994E-05  6.5947540E-05  1.1369517E-06  1.9982186E-09  6.5414421E-10  1.3931149E-10  8.2621655E-04
  1.3853441E-10  6.2548938E-10  1.8980076E-09  6.1355954E-07  3.9803208E-06  4.1321402E-06  1.7611618E-07  1.4744226E-05  6.2662954E-05  1.0834207E-06  1.8980076E-09  6.2548938E-10  1.3853441E-10  8.2554937E-04
  1.3748277E-10  5.9849764E-10  1.8043819E-09  5.8548202E-07  3.7952138E-06  3.9438460E-06  1.6640583E-07  1.4044849E-05  5.9590401E-05  1.0332473E-06  1.8043819E-09  5.9849764E-10  1.3748277E-10  8.2488050E-04
  1.3607674E-10  5.7292534E-10  1.7166847E-09  5.5913187E-07  3.6213985E-06  3.7669378E-06  1.5741248E-07  1.3389144E-05  5.6713062E-05  9.8616985E-07  1.7166847E-09  5.7292534E-10  1.3607674E-10  8.2420994E-04
  1.3434108E-10  5.4864964E-10  1.6344209E-09  5.3437671E-07  3.4580227E-06  3.6005602E-06  1.4906869E-07  1.2773740E-05  5.4015696E-05  9.4195113E-07  1.6344209E-09  5.4864964E-10  1.3434108E-10  8.2353764E-04
  1.3249779E-10  5.2575937E-10  1.5573430E-09  5.1109642E-07  3.3043106E-06  3.4439347E-06  1.4131481E-07  1.2195573E-05  5.1484469E-05  9.0037566E-07  1.5573430E-09  5.2575937E-10  1.3249779E-10  8.2286362E-04
  1.3053070E-10  5.0411796E-10  1.4850104E-09  4.8918146E-07  3.1595549E-06  3.2963509E-06  1.3409782E-07  1.1651858E-05  4.9106807E-05  8.6124712E-07  1.4850104E-09  5.0411796E-10  1.3053070E-10  8.2218788E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.3096314E-05  1.5605758E-04  1.5582354E-04  1.9627840E-04  5.8831703E-04  2.6660344E-03  4.1716319E-05  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.4335472E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.7654370E-05  1.2082224E-04  1.2073850E-04  1.0422836E-04  4.4944611E-04  2.0288540E-03  3.1939073E-05  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.4316564E-04
  0.0000000E+00  0.0000000E+00  1.8252656E-09  1.3892613E-05  9.6111333E-05  9.6123776E-05  5.9285217E-05  3.5346614E-04  1.5899063E-03  2.5161510E-05  1.8252656E-09  0.0000000E+00  0.0000000E+00  6.4295085E-04
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  0.0000000E+00  5.5495700E-10  2.4262556E-09  1.2226332E-06  9.1019024E-06  9.2533130E-06  4.2150445E-07  3.0691502E-05  1.3207847E-04  2.2276203E-06  2.4262556E-09  5.5495700E-10  0.0000000E+00  6.3686807E-04
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  0.0000000E+00  4.9400023E-10  2.0373648E-09  1.0305056E-06  7.6869496E-06  7.8299402E-06  3.2713829E-07  2.5813879E-05  1.1065076E-04  1.8769317E-06  2.0373648E-09  4.9400023E-10  0.0000000E+00  6.3615780E-04
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  0.0000000E+00  4.3818089E-10  1.7258729E-09  8.7747120E-07  6.5548883E-06  6.6898463E-06  2.6042152E-07  2.1932509E-05  9.3651111E-05  1.5975198E-06  1.7258729E-09  4.3818089E-10  0.0000000E+00  6.3544504E-04
  0.0000000E+00  4.1262252E-10  1.5934385E-09  8.1250352E-07  6.0728485E-06  6.2039609E-06  2.3423028E-07  2.0286036E-05  8.6456051E-05  1.4788824E-06  1.5934385E-09  4.1262252E-10  0.0000000E+00  6.3508773E-04
  0.0000000E+00  3.8850233E-10  1.4739265E-09  7.5395252E-07  5.6376422E-06  5.7650294E-06  2.1166813E-07  1.8802968E-05  7.9984400E-05  1.3719546E-06  1.4739265E-09  3.8850233E-10  0.0000000E+00  6.3472979E-04
  0.0000000E+00  3.6711037E-10  1.3671251E-09  7.0103519E-07  5.2436484E-06  5.3674326E-06  1.9210192E-07  1.7463297E-05  7.4146786E-05  1.2753087E-06  1.3671251E-09  3.6711037E-10  0.0000000E+00  6.3437122E-04
  4.0304693E-12  3.4691607E-10  1.2702103E-09  6.5330133E-07  4.8861711E-06  5.0064729E-06  1.7481643E-07  1.6249776E-05  6.8865515E-05  1.1879310E-06  1.2702103E-09  3.4691607E-10  4.0304693E-12  6.3394218E-04
  1.0635225E-11  3.2747781E-10  1.1815508E-09  6.1004004E-07  4.5604851E-06  4.6774139E-06  1.5948703E-07  1.5145924E-05  6.4067643E-05  1.1085802E-06  1.1815508E-09  3.2747781E-10  1.0635225E-11  6.3344836E-04
  1.6002631E-11  3.0930566E-10  1.1007557E-09  5.7054493E-07  4.2628741E-06  4.3765379E-06  1.4598778E-07  1.4139191E-05  5.9698070E-05  1.0361519E-06  1.1007557E-09  3.0930566E-10  1.6002631E-11  6.3295335E-04
  2.0346863E-11  2.9232437E-10  1.0269915E-09  5.3441352E-07  3.9903812E-06  4.1008873E-06  1.3404202E-07  1.3219146E-05  5.5710331E-05  9.6990654E-07  1.0269915E-09  2.9232437E-10  2.0346863E-11  6.3245714E-04
  2.3842973E-11  2.7645842E-10  9.5952616E-10  5.0129397E-07  3.7404152E-06  3.8478698E-06  1.2342295E-07  1.2376673E-05  5.2063867E-05  9.0919740E-07  9.5952616E-10  2.7645842E-10  2.3842973E-11  6.3195974E-04
  2.6631136E-11  2.6163041E-10  8.9771138E-10  4.7087780E-07  3.5106997E-06  3.6152069E-06  1.1394339E-07  1.1603784E-05  4.8723167E-05  8.5345738E-07  8.9771138E-10  2.6163041E-10  2.6631136E-11  6.3146113E-04
  2.8826680E-11  2.4776612E-10  8.4097539E-10  4.4289373E-07  3.2992288E-06  3.4008903E-06  1.0544785E-07  1.0893454E-05  4.5657054E-05  8.0218778E-07  8.4097539E-10  2.4776612E-10  2.8826680E-11  6.3096130E-04
  3.0551176E-11  2.3482153E-10  7.8883912E-10  4.1710263E-07  3.1042303E-06  3.2031452E-06  9.7806377E-08  1.0239495E-05  4.2838077E-05  7.5494882E-07  7.8883912E-10  2.3482153E-10  3.0551176E-11  6.3046025E-04
  3.1897997E-11  2.2274492E-10  7.4086942E-10  3.9329308E-07  2.9241349E-06  3.0203993E-06  9.0909718E-08  9.6364374E-06  4.0242004E-05  7.1135172E-07  7.4086942E-10  2.2274492E-10  3.1897997E-11  6.2995798E-04
  3.2841742E-11  2.1138342E-10  6.9657808E-10  3.7127760E-07  2.7575491E-06  2.8512563E-06  8.4665512E-08  9.0794364E-06  3.7847391E-05  6.7105177E-07  6.9657808E-10  2.1138342E-10  3.2841742E-11  6.2945447E-04
  3.3492792E-11  2.0073514E-10  6.5566762E-10  3.5088978E-07  2.6032329E-06  2.6944729E-06  7.8995274E-08  8.5641894E-06  3.5635215E-05  6.3374284E-07  6.5566762E-10  2.0073514E-10  3.3492792E-11  6.2894972E-04
  3.3933104E-11  1.9078288E-10  6.1785964E-10  3.3198142E-07  2.4600805E-06  2.5489403E-06  7.3831972E-08  8.0868672E-06  3.3588561E-05  5.9915233E-07  6.1785964E-10  1.9078288E-10  3.3933104E-11  6.2844371E-04
  3.4207451E-11  1.8148366E-10  5.8287980E-10  3.1442022E-07  2.3271035E-06  2.4136668E-06  6.9118066E-08  7.6440538E-06  3.1692355E-05  5.6703688E-07  5.8287980E-10  1.8148366E-10  3.4207451E-11  6.2793647E-04
  3.4249664E-11  1.7269347E-10  5.5037872E-10  2.9808780E-07  2.2034164E-06  2.2877641E-06  6.4803951E-08  7.2326956E-06  2.9933135E-05  5.3717879E-07  5.5037872E-10  1.7269347E-10  3.4249664E-11  6.2742794E-04
  3.4135336E-11  1.6441866E-10  5.2018001E-10  2.8287814E-07  2.0882249E-06  2.1704344E-06  6.0846680E-08  6.8500573E-06  2.8298855E-05  5.0938303E-07  5.2018001E-10  1.6441866E-10  3.4135336E-11  6.2691815E-04
  3.3944981E-11  1.5667806E-10  4.9213954E-10  2.6869609E-07  1.9808144E-06  2.0609605E-06  5.7208930E-08  6.4936837E-06  2.6778711E-05  4.8347451E-07  4.9213954E-10  1.5667806E-10  3.3944981E-11  6.2640708E-04
  3.3677583E-11  1.4941558E-10  4.6605562E-10  2.5545596E-07  1.8805415E-06  1.9586958E-06  5.3858102E-08  6.1613670E-06  2.5362998E-05  4.5929562E-07  4.6605562E-10  1.4941558E-10  3.3677583E-11  6.2589472E-04
  3.3371122E-11  1.4261991E-10  4.4178661E-10  2.4308055E-07  1.7868254E-06  1.8630568E-06  5.0765649E-08  5.8511183E-06  2.4042981E-05  4.3670431E-07  4.4178661E-10  1.4261991E-10  3.3371122E-11  6.2538108E-04
  3.2946162E-11  1.3616744E-10  4.1909202E-10  2.3150004E-07  1.6991409E-06  1.7735155E-06  4.7906474E-08  5.5611421E-06  2.2810783E-05  4.1557225E-07  4.1909202E-10  1.3616744E-10  3.2946162E-11  6.2486614E-04
  3.2399755E-11  1.3001556E-10  3.9782416E-10  2.2065134E-07  1.6170126E-06  1.6895940E-06  4.5258445E-08  5.2898158E-06  2.1659290E-05  3.9578340E-07  3.9782416E-10  1.3001556E-10  3.2399755E-11  6.2434988E-04
  3.1865227E-11  1.2426190E-10  3.7798609E-10  2.1047741E-07  1.5400094E-06  1.6108584E-06  4.2801988E-08  5.0356693E-06  2.0582064E-05  3.7723276E-07  3.7798609E-10  1.2426190E-10  3.1865227E-11  6.2383231E-04
  3.1315441E-11  1.1884715E-10  3.5943321E-10  2.0092636E-07  1.4677395E-06  1.5369146E-06  4.0519717E-08  4.7973696E-06  1.9573272E-05  3.5982489E-07  3.5943321E-10  1.1884715E-10  3.1315441E-11  6.2331342E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.0648402E-05  8.6326690E-05  8.6179976E-05  7.0891352E-05  2.7537063E-04  1.2028655E-03  1.9804011E-05  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.5632657E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.9612414E-06  6.5265883E-05  6.5215487E-05  3.5140014E-05  2.0588699E-04  8.9540782E-04  1.4826488E-05  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.5619122E-04
  0.0000000E+00  0.0000000E+00  4.1214764E-10  6.1501814E-06  5.0794676E-05  5.0802012E-05  1.9004222E-05  1.5880265E-04  6.8794806E-04  1.1447594E-05  4.1214764E-10  0.0000000E+00  0.0000000E+00  4.5603570E-04
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  0.0000000E+00  0.0000000E+00  2.3633877E-09  3.9210059E-06  3.2779649E-05  3.2846096E-05  6.6325745E-06  1.0105034E-04  4.3474589E-04  7.3000716E-06  2.3633877E-09  0.0000000E+00  0.0000000E+00  4.5558641E-04
  0.0000000E+00  0.0000000E+00  2.3732215E-09  3.2137802E-06  2.6990066E-05  2.7070692E-05  4.2132102E-06  8.2732616E-05  3.5482368E-04  5.9823806E-06  2.3732215E-09  0.0000000E+00  0.0000000E+00  4.5536124E-04
  0.0000000E+00  0.0000000E+00  2.2146626E-09  2.6716383E-06  2.2522045E-05  2.2611180E-05  2.7865406E-06  6.8692188E-05  2.9373090E-04  4.9715364E-06  2.2146626E-09  0.0000000E+00  0.0000000E+00  4.5513574E-04
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  0.0000000E+00  0.0000000E+00  1.7850828E-09  1.9127009E-06  1.6215599E-05  1.6311681E-05  1.3526892E-06  4.9040266E-05  2.0853060E-04  3.5552352E-06  1.7850828E-09  0.0000000E+00  0.0000000E+00  4.5468370E-04
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  0.0000000E+00  9.3950670E-11  4.1639619E-10  4.1650388E-07  3.5195881E-06  3.5878258E-06  8.8301088E-08  1.0326103E-05  4.2596602E-05  7.5720704E-07  4.1639619E-10  9.3950670E-11  0.0000000E+00  4.5141435E-04
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  7.0950077E-13  6.0752137E-11  2.2949931E-10  2.3754293E-07  1.9653788E-06  2.0185121E-06  4.0740676E-08  5.7230855E-06  2.3274131E-05  4.2235484E-07  2.2949931E-10  6.0752137E-11  7.0950077E-13  4.4957031E-04
  1.8636206E-12  5.7082303E-11  2.1241467E-10  2.2141525E-07  1.8235767E-06  1.8749028E-06  3.7046158E-08  5.3056821E-06  2.1533568E-05  3.9206079E-07  2.1241467E-10  5.7082303E-11  1.8636206E-12  4.4921713E-04
  2.7917356E-12  5.3671414E-11  1.9692915E-10  2.0676633E-07  1.6947727E-06  1.7443667E-06  3.3799054E-08  4.9270485E-06  1.9957106E-05  3.6455719E-07  1.9692915E-10  5.3671414E-11  2.7917356E-12  4.4886312E-04
  3.5343439E-12  5.0501781E-11  1.8286497E-10  1.9343134E-07  1.5775274E-06  1.6254616E-06  3.0931127E-08  4.5828343E-06  1.8526139E-05  3.3953248E-07  1.8286497E-10  5.0501781E-11  3.5343439E-12  4.4850825E-04
  4.1250429E-12  4.7556885E-11  1.7006761E-10  1.8126695E-07  1.4705871E-06  1.5169315E-06  2.8386578E-08  4.2692586E-06  1.7224517E-05  3.1671573E-07  1.7006761E-10  4.7556885E-11  4.1250429E-12  4.4815253E-04
  4.5883287E-12  4.4817909E-11  1.5839897E-10  1.7014812E-07  1.3728571E-06  1.4176788E-06  2.6119450E-08  3.9830250E-06  1.6038174E-05  2.9587061E-07  1.5839897E-10  4.4817909E-11  4.5883287E-12  4.4779595E-04
  4.9448633E-12  4.2267966E-11  1.4773866E-10  1.5996545E-07  1.2833783E-06  1.3267417E-06  2.4091631E-08  3.7212509E-06  1.4954826E-05  2.7679036E-07  1.4773866E-10  4.2267966E-11  4.9448633E-12  4.4743850E-04
  5.2273043E-12  3.9907055E-11  1.3799665E-10  1.5062294E-07  1.2013084E-06  1.2432751E-06  2.2271310E-08  3.4814083E-06  1.3963712E-05  2.5929360E-07  1.3799665E-10  3.9907055E-11  5.2273043E-12  4.4708019E-04
  5.4568656E-12  3.7727909E-11  1.2908708E-10  1.4203614E-07  1.1259054E-06  1.1665344E-06  2.0631773E-08  3.2612743E-06  1.3055379E-05  2.4322073E-07  1.2908708E-10  3.7727909E-11  5.4568656E-12  4.4672100E-04
  5.5912144E-12  3.5663284E-11  1.2087396E-10  1.3413050E-07  1.0565143E-06  1.0958618E-06  1.9150455E-08  3.0588895E-06  1.2221505E-05  2.2843095E-07  1.2087396E-10  3.5663284E-11  5.5912144E-12  4.4636094E-04
  5.6732684E-12  3.3734248E-11  1.1331802E-10  1.2684012E-07  9.9255526E-07  1.0306748E-06  1.7808192E-08  2.8725216E-06  1.1454741E-05  2.1479979E-07  1.1331802E-10  3.3734248E-11  5.6732684E-12  4.4599999E-04
  5.7315185E-12  3.1950081E-11  1.0637546E-10  1.2010663E-07  9.3351374E-07  9.7045648E-07  1.6588626E-08  2.7006362E-06  1.0748583E-05  2.0221694E-07  1.0637546E-10  3.1950081E-11  5.7315185E-12  4.4563816E-04
  5.7753235E-12  3.0303206E-11  9.9991895E-11  1.1387810E-07  8.7893226E-07  9.1474697E-07  1.5477721E-08  2.5418705E-06  1.0097263E-05  1.9058437E-07  9.9991895E-11  3.0303206E-11  5.7753235E-12  4.4527542E-04
  5.7535113E-12  2.8727490E-11  9.4059819E-11  1.0810825E-07  8.2840311E-07  8.6313619E-07  1.4463380E-08  2.3950117E-06  9.4956506E-06  1.7981475E-07  9.4059819E-11  2.8727490E-11  5.7535113E-12  4.4491179E-04
  5.6991379E-12  2.7242737E-11  8.8562366E-11  1.0275585E-07  7.8156213E-07  8.1525780E-07  1.3535133E-08  2.2589783E-06  8.9391775E-06  1.6983019E-07  8.8562366E-11  2.7242737E-11  5.6991379E-12  4.4454725E-04
  5.6485255E-12  2.5873504E-11  8.3491535E-11  9.7784019E-08  7.3808355E-07  7.7078387E-07  1.2683885E-08  2.1328035E-06  8.4237635E-06  1.6056109E-07  8.3491535E-11  2.5873504E-11  5.6485255E-12  4.4418182E-04
  5.5926951E-12  2.4600351E-11  7.8798909E-11  9.3159676E-08  6.9767517E-07  7.2942023E-07  1.1901692E-08  2.0156214E-06  7.9457589E-06  1.5194502E-07  7.8798909E-11  2.4600351E-11  5.5926951E-12  4.4381546E-04
  5.5460567E-12  2.3428361E-11  7.4463730E-11  8.8853137E-08  6.6007455E-07  6.9090250E-07  1.1181603E-08  1.9066554E-06  7.5018924E-06  1.4392597E-07  7.4463730E-11  2.3428361E-11  5.5460567E-12  4.4344818E-04
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  5.3253964E-12  2.1200473E-11  6.6588406E-11  8.1089121E-08  5.9237502E-07  6.2147598E-07  9.9040140E-09  1.7106481E-06  6.7051196E-06  1.2948225E-07  6.6588406E-11  2.1200473E-11  5.3253964E-12  4.4271083E-04
  5.2156924E-12  2.0194757E-11  6.3059231E-11  7.7585902E-08  5.6187092E-07  5.9015865E-07  9.3363662E-09  1.6224107E-06  6.3471892E-06  1.2297128E-07  6.3059231E-11  2.0194757E-11  5.2156924E-12  4.4234076E-04
  5.1108974E-12  1.9257456E-11  5.9775807E-11  7.4308319E-08  5.3335925E-07  5.6086512E-07  8.8103352E-09  1.5399827E-06  6.0132860E-06  1.1688355E-07  5.9775807E-11  1.9257456E-11  5.1108974E-12  4.4196975E-04
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.6342655E-06  2.5770826E-05  2.5746052E-05  7.8279816E-06  6.8729631E-05  2.8316762E-04  4.9711021E-06  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.8457497E-04
  0.0000000E+00  0.0000000E+00  1.0542543E-09  2.1686607E-06  1.9599648E-05  1.9603060E-05  3.8471064E-06  5.1813833E-05  2.1197742E-04  3.7426788E-06  1.0542543E-09  0.0000000E+00  0.0000000E+00  2.8447494E-04
  0.0000000E+00  0.0000000E+00  6.4783485E-10  1.7503484E-06  1.5273607E-05  1.5292393E-05  2.0543995E-06  4.0094790E-05  1.6292711E-04  2.8924939E-06  6.4783485E-10  0.0000000E+00  0.0000000E+00  2.8433388E-04
  0.0000000E+00  0.0000000E+00  5.9988308E-10  1.4342268E-06  1.2134601E-05  1.2162003E-05  1.1762584E-06  3.1669094E-05  1.2792055E-04  2.2823354E-06  5.9988308E-10  0.0000000E+00  0.0000000E+00  2.8419262E-04
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  0.0000000E+00  0.0000000E+00  3.7369065E-10  1.0437468E-06  8.0301021E-06  8.0656573E-06  4.5581093E-07  2.0768423E-05  8.3030783E-05  1.4948171E-06  3.7369065E-10  0.0000000E+00  0.0000000E+00  2.8390943E-04
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  0.0000000E+00  6.1463180E-12  1.9024454E-10  7.1662262E-07  4.7316257E-06  4.7684162E-06  1.5025872E-07  1.2124311E-05  4.7862207E-05  8.7199368E-07  1.9024454E-10  6.1463180E-12  0.0000000E+00  2.8347291E-04
  0.0000000E+00  1.1285012E-11  1.6668230E-10  6.5834912E-07  4.0392275E-06  4.0752221E-06  1.1024087E-07  1.0325846E-05  4.0610635E-05  7.4269303E-07  1.6668230E-10  1.1285012E-11  0.0000000E+00  2.8331601E-04
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  0.0000000E+00  1.1294754E-11  5.6863547E-11  3.9587874E-07  1.2662466E-06  1.2908935E-06  1.6417087E-08  3.1985421E-06  1.2235056E-05  2.3114861E-07  5.6863547E-11  1.1294754E-11  0.0000000E+00  2.8189204E-04
  0.0000000E+00  1.0525050E-11  5.1268940E-11  3.8327099E-07  1.1377869E-06  1.1613017E-06  1.4162600E-08  2.8720824E-06  1.0956828E-05  2.0772124E-07  5.1268940E-11  1.0525050E-11  0.0000000E+00  2.8173247E-04
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  0.0000000E+00  7.5160566E-12  3.2006676E-11  3.3004864E-07  6.9794239E-07  7.1669745E-07  7.5149469E-09  1.7578668E-06  6.6209651E-06  1.2773162E-07  3.2006676E-11  7.5160566E-12  0.0000000E+00  2.8093051E-04
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  0.0000000E+00  6.6793277E-12  2.7062736E-11  3.1889135E-07  5.8473332E-07  6.0189516E-07  6.0530362E-09  1.4719349E-06  5.5169294E-06  1.0718804E-07  2.7062736E-11  6.6793277E-12  0.0000000E+00  2.8060778E-04
  6.6863482E-14  6.4162392E-12  2.5079974E-11  3.1421174E-07  5.3705405E-07  5.5348417E-07  5.4590986E-09  1.3515821E-06  5.0535600E-06  9.8564387E-08  2.5079974E-11  6.4162392E-12  6.6863482E-14  2.8041512E-04
  1.7438789E-13  5.9905331E-12  2.3115713E-11  3.1002668E-07  4.9425153E-07  5.0998797E-07  4.9360938E-09  1.2435608E-06  4.6384257E-06  9.0842989E-08  2.3115713E-11  5.9905331E-12  1.7438789E-13  2.8019378E-04
  2.5958337E-13  5.5979936E-12  2.1342652E-11  3.0625086E-07  4.5570098E-07  4.7078016E-07  4.4782900E-09  1.1463234E-06  4.2654507E-06  8.3887509E-08  2.1342652E-11  5.5979936E-12  2.5958337E-13  2.7997191E-04
  3.2666129E-13  5.2359821E-12  1.9738843E-11  3.0283628E-07  4.2090028E-07  4.3535670E-07  4.0756068E-09  1.0585880E-06  3.9295569E-06  7.7607148E-08  1.9738843E-11  5.2359821E-12  3.2666129E-13  2.7974953E-04
  3.7951666E-13  4.9025162E-12  1.8285715E-11  2.9974146E-07  3.8941570E-07  4.0328197E-07  3.7198147E-09  9.7924852E-07  3.6263706E-06  7.1923554E-08  1.8285715E-11  4.9025162E-12  3.7951666E-13  2.7952659E-04
  4.1977217E-13  4.5941591E-12  1.6965530E-11  2.9693045E-07  3.6087140E-07  3.7417828E-07  3.4041469E-09  9.0734739E-07  3.3521122E-06  6.6868914E-08  1.6965530E-11  4.5941591E-12  4.1977217E-13  2.7930313E-04
  4.4921846E-13  4.3083311E-12  1.5763338E-11  2.9437198E-07  3.3494066E-07  3.4771717E-07  3.1229996E-09  8.4205329E-07  3.1035053E-06  6.2184297E-08  1.5763338E-11  4.3083311E-12  4.4921846E-13  2.7907913E-04
  4.7603995E-13  4.0494296E-12  1.4672807E-11  2.9203878E-07  3.1133870E-07  3.2361220E-07  2.8717033E-09  7.8264223E-07  2.8777015E-06  5.7918386E-08  1.4672807E-11  4.0494296E-12  4.7603995E-13  2.7885459E-04
  5.0407205E-13  3.8179990E-12  1.3685141E-11  2.7990700E-07  2.8981656E-07  3.0161279E-07  2.6463418E-09  7.2848189E-07  2.6722168E-06  5.4026359E-08  1.3685141E-11  3.8179990E-12  5.0407205E-13  2.7862949E-04
  5.1138878E-13  3.5892452E-12  1.2767398E-11  2.7795572E-07  2.7015601E-07  2.8149924E-07  2.4436123E-09  6.7912008E-07  2.4848795E-06  5.0468931E-08  1.2767398E-11  3.5892452E-12  5.1138878E-13  2.7840385E-04
  5.1313566E-13  3.3758061E-12  1.1925084E-11  2.7616653E-07  2.5216528E-07  2.6307835E-07  2.2607144E-09  6.3386899E-07  2.3137855E-06  4.7211628E-08  1.1925084E-11  3.3758061E-12  5.1313566E-13  2.7817765E-04
  5.1840739E-13  3.1845794E-12  1.1158839E-11  2.6452323E-07  2.3567545E-07  2.4617986E-07  2.0952614E-09  5.9240048E-07  2.1572612E-06  4.4224092E-08  1.1158839E-11  3.1845794E-12  5.1840739E-13  2.7795090E-04
  5.2854783E-13  3.0149785E-12  1.0462573E-11  2.6301150E-07  2.2053732E-07  2.3065333E-07  1.9452090E-09  5.5433693E-07  2.0138322E-06  4.1479522E-08  1.0462573E-11  3.0149785E-12  5.2854783E-13  2.7772360E-04
  5.2055046E-13  2.8422967E-12  9.8067245E-12  2.6161861E-07  2.0661887E-07  2.1636553E-07  1.8087987E-09  5.1934440E-07  1.8821962E-06  3.8854188E-08  9.8067245E-12  2.8422967E-12  5.2055045E-13  2.7749573E-04
  5.0677060E-13  2.6773883E-12  9.1978589E-12  2.6033331E-07  1.9380296E-07  2.0319823E-07  1.6845114E-09  4.8712682E-07  1.7612006E-06  3.6527081E-08  9.1978589E-12  2.6773883E-12  5.0677060E-13  2.7726730E-04
  5.0067392E-13  2.5323906E-12  8.6443128E-12  2.5914559E-07  1.8198550E-07  1.9104631E-07  1.5710297E-09  4.5742122E-07  1.6498227E-06  3.4379518E-08  8.6443128E-12  2.5323906E-12  5.0067392E-13  2.7703829E-04
  4.9729830E-13  2.4011636E-12  8.1365720E-12  2.5804649E-07  1.7107375E-07  1.7981604E-07  1.4672061E-09  4.2999347E-07  1.5471534E-06  3.2394853E-08  8.1365720E-12  2.4011636E-12  4.9729830E-13  2.7680872E-04
  5.0138384E-13  2.2874006E-12  7.6753282E-12  2.5702804E-07  1.6098493E-07  1.6942374E-07  1.3720380E-09  4.0463473E-07  1.4523829E-06  3.0558242E-08  7.6753282E-12  2.2874006E-12  5.0138384E-13  2.7657857E-04
  4.9224057E-13  2.1694795E-12  7.2362841E-12  2.5608308E-07  1.5164504E-07  1.5969461E-07  1.2846464E-09  3.8115836E-07  1.3647886E-06  2.8856394E-08  7.2362841E-12  2.1694795E-12  4.9224057E-13  2.7634784E-04
  4.6741662E-13  2.0441168E-12  6.8137657E-12  2.5520520E-07  1.4298775E-07  1.5076222E-07  1.2042585E-09  3.5939725E-07  1.2837241E-06  2.7277414E-08  6.8137657E-12  2.0441168E-12  4.6741662E-13  2.7611654E-04
  4.5401397E-13  1.9376709E-12  6.4319922E-12  2.5438867E-07  1.3495358E-07  1.4246549E-07  1.1301925E-09  3.3920147E-07  1.2086103E-06  2.5810654E-08  6.4319922E-12  1.9376709E-12  4.5401397E-13  2.7588465E-04
  4.4399530E-13  1.8414383E-12  6.0803423E-12  2.5362828E-07  1.2748901E-07  1.3475021E-07  1.0618448E-09  3.2043628E-07  1.1389275E-06  2.4446513E-08  6.0803423E-12  1.8414383E-12  4.4399530E-13  2.7565216E-04
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
 'End:'
pythia8-8.1.86.orig/xmldoc/UpdateHistory.xml0000444000175000017500000040707712357553516017204 0ustar  sunsun 
 

    Update History
     
 
These update notes describe major updates relative to the baseline 
PYTHIA 8.100 version. However, they are less extensive than the 
corresponding update notes for PYTHIA 6. On the other hand, 
whereas the PYTHIA 6 manual is a static document, the PYTHIA 8 
html/php pages are kept up to date for each subversion. 
 


     
Important note:version 8.160 does introduce some elements of 
backwards incompatibility. Specifically, "multiple interactions", 
abbreviated MI, has been renamed "multiparton interactions", MPI. 
This affects many parts of the code and documentation. Also some 
features are deprecated, although remaining until the end of the 
8.1xx version series. 
 
 

    Main news by version
     
 

       
 

    • 8.105: 24 February 2008 

         
 

      • New option to initialize with arbitrary beam directions
         
pythia.init( idA, idB, pxA, pyA, pzA, pxB, pyB, pzB)
        •  
 

      • Added capability to set beam energy spread 
and beam vertex. 

         
Warning: as a consequence, the old Beams group of 
settings has been moved to BeamRemnants, and 
Beams is now instead used for machine beam parameters. 
Therefore also some Main settings of this character have been 
regrouped, as follows: 

         

         8.100 setting   has been moved to  
         

         Main:idA           
     Beams:idA          
         

         Main:idB           
     Beams:idB          
         

         Main:inCMframe     
     (Beams:frameType)  
         

         Main:eCM           
     Beams:eCM          
         

         Main:eA            
     Beams:eA           
         

         Main:eB            
     Beams:eB           
         

         Main:LHEF          
     Beams:LHEF         
         

        •  
 

      • The forceHadronLevel() method introduced for standalone 
hadronization.
        •  
 

      • main15.cc illustrated how either full hadronization or 
only decays of some particles can be looped over for the rest of the 
event retained.
        •  
 

      • The LHAevnt and LHAinit classes have been 
joined into a new LHAup one, with new options that allow 
the writing of a Les Houches Event File.
        •  
 

      • The SusyLesHouches class updated to handle 
SLHA version 2.
        •  
 

      • Updated HepMC conversion routine.
        •  
 

      • The static ErrorMsg class has been removed and 
its functionality moved into the non-static Info class, 
in the renamed Info file.
        •  
 

      • Further reduction of the use of static, with related code changes. 
This should allow to have several almost independent Pythia 
instances. Some static classes still remain, however, notably for 
random number generation and particle properties.
        •  
 

      • Limited capability to use two different Pythia instances 
for signal + pileup event generation, see main19.cc for an 
example.
        •  
 

      • In the Event class the = and 
=+ methods have been overloaded to allow the copying 
or appending of event records. Illustrated in main19.cc.
        •  
 

      • The html and php page formatting improved with 
cascading style sheets.
        •  
 

      • Several minor improvements and new options, including updated configure 
scripts.
        •  
 

       

      •  
 

    • 8.108: 1 May 2008 

         
 

      • Correction in the event record, so that the beam particles in line 
1 and 2 do not have any mother according to the motherList 
method. Previously the "system" entry in line 0 was counted as their 
mother, which gave rise to an unexpected extra vertex in the conversion 
to the HepMC format.
        •  
 

      • Support for HepMC version 1 is removed, to simplify the code and 
reflect the evolution of the field.
        •  
 

      • Status codes are stored in HepMC only as 1 for existing and 2 for 
decayed or fragmented particles (whereas previously the original PYTHIA 
codes were used for the latter).
        •  
 

      • Parton densities are stored in HepMC as xf(x,Q^2) 
rather than the f(x,Q^2) used in (some) previous versions.
        •  
 

      • The SusyLesHouches class has been updated so that reading is fully 
compatible with the SLHA2 standard. 
        •  
 

      • Improved handling of the Higgs width, relevant for massive and thereby 
broad resonance shapes.
        •  
 

      • The matrix elements for neutralino pair production have now been 
completed and checked.
        •  
 

      • Ensure that alpha_strong does not blow up, by introducing 
a minimal scale somewhat above Lambda_3 (roughly where 
alpha_strong = 10).
        •  
 

      • New methods isValence1() and isValence2() 
in the Info class.
        •  
 

      • Protection against division by zero in calculation of decay vertex 
(for zero-mass gluons with zero lifetime, where there should be no 
displacement).
        •  
 

      • A new compilation option -Wshadow is introduced and 
code is rewritten at all places where this option gave warnings.
        •  
 

      • Minor library correction to allow compilation with gcc 4.3.0.
        •  
 

       

      •  
 

    • 8.114: 22 October 2008 

         
 

      • New rescattering description operational (but still experimental) 
for the case that FSR is not interleaved, but saved until after MPI, 
ISR and beam remnants have been handled. This involves much new code 
in several classes.
        •  
 

      • A new class PartonSystems is introduced to 
keep track of which partons in the event record belong to which 
subcollision system, plus some further information on each subsystem. 
It takes over functionality previously found as part of the 
Event class, but leaves room for future growth.
        •  
 

      • Add optional model, wherein an increased pT0 turnoff scale 
for MPI and ISR is used for above-average active events, i.e. events that 
already have several MPI's or ISR emissions.
        •  
 

      • Freeze GRV 94L distribution at small Q^2 to avoid blowup.
        •  
 

      • The pythia.readFile(...) method can now alternatively take 
an istream as argument instead of a filename.
        •  
 

      • Minor bug correction in PartonLevel.cc; the bug could 
(rarely) give a segmentation fault.
        •  
 

       

      •  
 

    • 8.120: 10 March 2009 

         
 

      • New rescattering description further developed, but not yet 
recommended for normal usage.
        •  
 

      • Include new processes for Large Extra Dimensions and Unparticles, 
contributed by Stefan Ask. New test program main28.cc 
illustrates.
        •  
 

      • Include further SUSY processes: neutralino-chargino and 
chargino-chargino pairs. The processes should be valid also 
in the case of non-minimal flavour violation and/or CP violation. 
Expanded machinery to keep track of SUSY parameters.
        •  
 

      • Include backwards evolution of incoming photon as part of the 
SpaceShower initial-state radiation description. This 
allows you to simulate hard collisions where one of the incoming 
partons is a photon. New test program main43.cc 
illustrates.
        •  
 

      • Allow separate mass and transverse momentum cuts when two hard 
subprocesses are generated in the same event.
        •  
 

      • The default value for the border between short- and long-lived 
particles has been changed from 1 mm to 10 mm, to better conform with 
LHC standards, see  here. 
The default is still to let all unstable particles decay.
        •  
 

      • New ISR matrix-element correction to f → f gamma 
in single W production.
        •  
 

      • New method Event::statusHepMC returns the status 
code according to the HepMC conventions agreed in February 2009. 
The interface to HepMC now writes out status according to this 
convention.
        •  
 

      • Add capability to link to FastJet, with expanded configure script 
and Makefile, and with main61.cc as new example.
        •  
 

      • Update of Makefile.msc, with added support for latest 
Visual C++ Express edition and use of regexp to check nmake version.
        •  
 

      • Update of LHAFortran.h and 
Pythia6Interface.h, to make the interface to Fortran 
routines work also under Windows. (Thanks to Anton Karneyeu.) 
 

      • Updated and expanded worksheet.
        •  
 

      • The manual pages in the xmldoc directory, and thereby 
also those of the htmldoc and phpdoc 
directories, have been significantly updated and expanded. In particular, 
in many places the class of each method is explicitly shown, as well as 
the type of the return value and of the arguments. This upgrade is not 
yet completed, but already covers the more relevant sections. 
        •  
 

      • The unary minus operator in the Vec4() returns a 
reference to a four-vector with all components negated, but leaves 
the original four-vector unchanged. Previously the four-vector itself 
was flipped.
        •  
 

      • The pPlus() and pMinus() methods of a 
four-vector and an event-record particle are renamed pPos() 
and pNeg(), respectively.
        •  
 

      • Include a further loop in ProcessLevel, so that a new 
process is generated in case of failures of a less severe nature.
        •  
 

      • Introduce warning message for unexpected meMode in 
ResonanceWidths.
        •  
 

      • Les Houches event reading framework has been rearranged for 
more flexibility. Some bugs corrected. Specifically, when scale 
is not set (scale = -1. in the Les Houches standard), 
PYTHIA did not attempt to set this scale itself, which typically 
lead to there not being any ISR or FSR. Now the 
rules for normal 
1-, 2- and 3-body final states are applied, with a trivial 
extension of the 3-body rules for higher multiplicities.
        •  
 

      • Correct bug in the handling of parton densities, whereby it was 
not possible to switch to a new set, once a first initialization 
had been done.
        •  
 

      • Correct bugs when several Pythia::init initialization 
calls are made in the same run, specifically in the case that pointers 
to external processes have been handed in. 
 

      • Changes in main03.cmnd and main04.cmnd 
so that some nonstandard options are commented out rather than active. 
Related comments inserted also in some other .cmnd files, 
but there without any change in program execution.
        •  
 

      • A few further minor bug fixes.
        •  
 

      • Update year to 2009.
        •  
 

       

      •  
 

    • 8.125: 16 June 2009 

         
 

      • Hadronization and timelike-shower parameter default values updated 
according to a tune to LEP1 data by Hendrik Hoeth, using the 
Rivet + Professor framework.
        •  
 

      • Many further SUSY production processes. SLHA readin expanded to cover 
also masses and decay modes. Example main22.cc updated, while 
main33.cc now superfluous and removed. 
        •  
 

      • Also further processes for extra dimensions.
        •  
 

      • Stefan Ask joins as coauthor.
        •  
 

      • The TimeShower::shower(...) method has gained 
a new argument, that forces the shower evolution to stop after 
a given number of branchings. A new method 
TimeShower::pTLastInShower() permits the last evolution 
pT to be read out. These extensions can be useful 
for matching studies. 

        •  
 

      • New optional argument isInterleaved added to 
TimeShower::branch(...). Is false by default, but 
true when called from the parton level for interleaved evolution 
of several parton systems, optionally also with ISR and MPI.
        •  
 

      • New methods UserHooks::canSetResonanceScale() 
and UserHooks:scaleResonance(...) allows an optional 
user choice of the maximum shower scale in resonance decays.
        •  
 

      • A new method SpaceShower::doRestart() has been 
added, to help distinguish cases when a 
SpaceShower::branch(...) failure forces a complete 
restart of the evolution from ones where only the intended 
current branching has been vetoed. 
 

      • When multiparton interactions are initialized, it is now 
possible to reduce both pT0 and pTmin 
if necessary to find a valid solution where 
sigma_jet > sigma_nondiffractive. Previously 
only the former would be reduced, which could lead to 
infinite loops if too large a pTmin was used. 
Thanks to Sami Kama for pointing out the problem. 

        •  
 

      • The rescattering machinery is now essentially completed, and can 
be used also by others than the authors. For now, however, it can only 
be recommended for dedicated studies, not e.g. for generic tunes. 

        •  
 

      • Timelike and spacelike showers, and beam remnant handling, 
are modified to handle rescattering partons. Specifically, a new machinery 
is introduced to trace the recoils from the combination of rescattering 
with showers and primordial kT. Can assign space- or timelike 
virtualities to intermediate particles to have energy and momentum 
conserved locally. This affects the PartonLevel, 
MultipartonInteractions, TimeShower, 
SpaceShower and BeamRemnants classes. 
Further details to appear in the upcoming article on rescattering. 
(Another change is a reversal to pre-8.114 order for non-interleaved FSR, 
wherein also FSR is treated before beam remnants are attached.) 

        •  
 

      • Four new status codes introduced, as part of the rescattering 
description: 

        45 : incoming rescattered parton, with changed kinematics owing 
to ISR in the mother system (cf. status 34); 

        46 : incoming copy of recoiler when this is a rescattered parton 
(cf. status 42); 

        54 : copy of a recoiler, when in the initial state of a different 
system from the radiator; 

        55 : copy of a recoiler, when in the final state of a different 
system from the radiator. 

        •  
 

      • New method Info::tooLowPTmin() can tell whether the 
pTmin scales for showers or multiparton interactions are too low. 

        •  
 

      • Pion beams allowed, both pi^+, pi^- and 
pi^0. New machinery for the latter, where the valence 
flavour content is chosen to be either d dbar or 
u ubar for each new event. One internal pion PDF 
implemented, with others from LHAPDF.
        •  
 

      • Treatment of Pomeron-proton collisions begun.
        •  
 

      • Phase-space handling of hard processes and multiparton interactions 
slightly expanded to better allow for harder PDF's than proton ones, 
e.g. for Pomerons.
        •  
 

      • The program documentation has been expanded with an 
alphabetical index of all methods that are described on the 
webpages, see the Program Methods 
page. Also other sections of the documentation have been 
updated and expanded, including the worksheet.
        •  
 

      • Several list methods have been made 
const. For the listing of events two new methods 
have been added, Event::list() and 
Event::list(bool showScaleAndVertex, 
bool showMothersAndDaughters = false), 
that correspond to special cases of the general method.
        •  
 

      • A new method Pythia::LHAeventSkip(int nSkip) 
permits a skip-ahead of the reading of external Les Houches 
Events, without the necessity to generate the intervening 
nSkip events in full. Makes use of the new 
LHAup::skipEvent(int nSkip) method to perform 
the operations. Mainly intended for debug purposes. 
 

      • The ClusterJet jet finder now saves the last 
five clustering scales. Also a minor bug fix. Thanks to Nils 
Lavesson for this contribution.
        •  
 

      • The Particle::m2() method now returns a negative 
number when the stored mass m is negative, as used to 
indicate spacelike virtualities. Also the 
Particle::eCalc(), Particle::mT() and 
Particle::mT2() methods have been modified. 

        •  
 

      • The << method to print our a four-vector has 
been expanded with a fifth number, the invariant length, with a minus 
sign for spacelike vectors, and provided within brackets to allow 
a simple visual distinction.
        •  
 

      • New methods Rndm::dumpState(string fileName) and 
Rndm::readState(string fileName) allows to write or 
read the state of the random number generator to or from a binary file. 

        •  
 

      • New method double GammaReal(double x) returns the 
value of the Gamma function for arbitrary real argument. 
Some cross sections for extra-dimensional processes rewritten to 
make use of it. 

        •  
 

      • New example program main29.cc shows how 
to set up a fictitious process of a heavy system decaying 
to two particles or partons, with decays traced to stable 
particles, as relevant for astroparticle applications.
        •  
 

      • Main programs that illustrate the HepMC interface have 
been updated to use version 2.04, including units and excluding 
deprecated output formats.
        •  
 

      • The main32.cc example extended also to handle 
Les Houches Event Files.
        •  
 

      • The Makefile has been modified so that "make clean" only 
removes the current compilation and library files, while 
"make distclean" gives a more extensive reset and cleanup. 
Thanks to Nils Lavesson for this contribution. Some other 
minor Makefile corrections.
        •  
 

      • Several main programs that use the 
Main:timesToShow mode have been corrected so as 
not to crash if this is set to zero. Also some other cosmetics 
changes in main programs that do not affect the running.
        •  
 

      • Bug correction, in that previously a veto with user hooks 
was not propagated from parton showers inside resonance decays. 

        •  
 

      • Minor bug fix in TimeShower for kinematics with 
unequal beam-particle masses.
        •  
 

      • Bug fix so that PartonLevel:MPI = off also works for 
minimum-bias events.
        •  
 

      • Minor bug fix in the impact-parameter selection of multiparton 
interactions. Thanks to Sami Kama for pointing it out.
        •  
 

      • String fragmentation for junction topology protected against 
numerical instability in boost.
        •  
 

      • Bug correction in the handling of particle decays to partons, 
where the scale of the partons was set before the partons had been 
added to some arrays, leading to indexation out of bounds. 
Thanks to Vladislav Burylov for discovering this bug. 

        •  
 

      • Bug correction in the handling of particles with inhibited decay, 
where the decay vertex would be too far displaced, which could lead to 
infinite loop. Thanks to Sami Kama for debugging this. 
        •  
 

      • Check to avoid infinite loop in matrix-element handling of 
two-body decays.
        •  
 

      • Bug correction to avoid infinite loops in Dalitz decay treatment. 
Some changes in the decay handling logic to allow a new try when the 
decay of a particle fails.
        •  
 

      • Minor correction, so the pointer to the Info class 
is set also for user-written classes derived from LHAup. 

        •  
 

      • Correction for typo in the matrix element of the 
Sigma3ff2HchgchgfftWW class, for doubly charged Higgs 
production. Thanks to Merlin Kole for spotting it.
        •  
 

      • Updated colour bookkeeping in junction-antijunction annihilation 
avoids later problems in Pythia::check(). 
        •  
 

      • Minor updates of the Makefile.msc file to work with 
Visual Studio 2008. Thanks to David Bailey for these modifications.
        •  
 

      • Ensure that nInit in the BeamParticle 
class is set also for unresolved lepton beams.
        •  
 

      • The VetoEvolution class, derived from 
UserHooks, is obsolete and has been removed.
        •  
 

       

      •  
 

    • 8.130: 15 September 2009 

         
 

      • New machinery that allows multiparton interactions inside diffractive 
systems. Also new optional Pomeron flux factors and Pomeron PDFs. 
New page on diffraction added, where 
further details are collected. Still not tuned, so to be used with 
caution.
        •  
 

      • Make Peter Skands' "Tune 1" parameters for ISR and MPI default. 
The older simpler tune is still available as an option, see 
Tune:pp. 

        •  
 

      • New possible choices for a second hard process: charmonium, 
bottomonium, top pair and single top.
        •  
 

      • New code for pair production of generic colour-triplet scalar, 
fermion or vector. Largely written by Johan Bijnens, partly recycling 
existing code.
        •  
 

      • Add user hooks possibility to veto event after a given number 
of multiparton interactions.
        •  
 

      • Add instructions how PYTHIA 8 can be used from inside ROOT. 
Thanks to Andreas Morsch for providing the text and Rene Brun 
for a simple example.
        •  
 

      • The main21.cc example extended with an option 
for a single-particle gun.
        •  
 

      • Improvements and bug fixes in rescattering framework.
        •  
 

      • New method Hist::table(string fileName) provides a 
more direct way to print a two-column table of histogram contents 
into a file than the current Hist::table(ostream& os = cout). 
 
        •  
 

      • Modify reading of external files so that a line only consisting of 
control characters counts as empty, the same way as a line only consisting 
of blanks already did. This includes carriage return, tabs and a few more, 
the ones represented by \n \t \v \b \r \f \a. Applies to 
Les Houches Event files, settings files and particle data files. 
        •  
 

      • Fix it so that the read-in of a Les Houches Event File for the 
hardest process can be combined with the facility to select a specified 
second hard process.
        •  
 

      • New empty base class method LHAup::fileFound() 
allows the derived class LHAupLHEF to signal more 
clearly that a failed initialization is caused by a failure to open 
the desired file. 
        •  
 

      • Check that a pointer to an LHAup object has been set 
in Pythia::LHAeventList() and 
Pythia::LHAeventSkip(...) calls.
        •  
 

      • Updated configure and Makefile, e.g. to build shared libraries 
on Mac OS X.
        •  
 

      • The options with a direct link to hard-process generation 
in PYTHIA 6 has been removed. It is hardly ever used but 
complicates the build structure. (Owing to its usefulness for some 
debug work, it was reinstated in a limited form in version 8.135. 
Thus main51.cc now contains the complete interface, 
previously in separate files, and commented-out lines in 
examples/Makefile suggest how PYTHIA 6 could be linked.) 

        •  
 

      • New argument to Info::errorMsg(...) allows to 
show all error messages of a specific kind rather than only the 
first one, e.g. for initialization.
        •  
 

      • Correction in decay table of righthanded Majorana neutrinos. 
Thanks to Arnaud Ferrari and Vladimir Savinov.
        •  
 

      • Correction in expressions in the manual for H^+- couplings 
to an h^0, H^0 or A^0 and a W^+-. 
Thanks to Rikard Enberg.
        •  
 

      • Fix for accessing uninitialized memory, caused by accessing the 
daughters of the incoming beams before these daughters actually existed. 
Thanks to David Bailey and Sami Kama. 

        •  
 

      • Uninitialized photon PDF inside the proton could give crazy results 
for processes with incoming photons. Thanks to Adam Davison.
        •  
 

      • Bug fix such that finite lifetimes can be set also for particles 
produced in the hard process. To exemplify, the bug affected 
tau leptons produced in Z^0 and W^+- 
decays. Thanks to Troels Petersen.
        •  
 

      • Bug fix in TimeShower, that beamOffset 
could remain uninitialized. Thanks to Sami Kama.
        •  
 

      • Minor correction to resonance decays: fail if the allowed mass 
range of a Breit-Wigner resonance is a small fraction of the total 
area under the resonance curve.
        •  
 

      • Correction when all three valence quarks were kicked out from a 
proton and could give false messages that beam momentum had been 
used up.
        •  
 

      • Clarify status codes needed for hadron-level standalone runs in 
order to avoid error messages, and modify the main21.cc 
example accordingly. 
        •  
 

      • Minor corrections in the processes for extra dimensions.
        •  
 

      • Some other minor additions to existing facilities 
and minor bug fixes.
        •  
 

       

      •  
 

    • 8.135: 10 January 2010 

         
 

      • All usage of static member methods inside Pythia8 has now been 
eliminated. This simplifies for you to have several simultaneous 
Pythia instances that are run with different conditions. 
The three main classes affected by this are the Settings 
and ParticleData databases and the Rndm 
random-number generator. You can no longer address the methods of these 
classes directly, but have to address them via the settings, 
particleData and rndm instances in the 
respective Pythia object. Also some other smaller pieces 
of code are affected, e.g. Standard Model and SUSY couplings 
(the latter in new files). 
Note 1: The documentation has been updated accordingly 
on these webpages, but the "A Brief Introduction to PYTHIA 8.1" 
still refers to the old behaviour of version 8.100. 
Note 2: the interface to the external LHAPDF library remains 
static, since LHAPDF is written in Fortran and thus by definition 
static. 
Note 3: if you want to have momentum smearing in 
CellJet you now need to send in a pointer to a 
random-number generator. 

        •  
 

      • Ten new proton PDF sets are made available internally: 
MRST LO* (2007), MRST LO** (2008), MSTW 2008 LO (central member), 
MSTW 2008 NLO (central member), CTEQ6L, CTEQ6L1, CTEQ6.6 (NLO, 
central member), CT09MC1, CT09MC2, and CT09MCS, see 
PDF Selection. The Pomeron PDF data 
files have been renamed for consistency. Thanks to Tomas Kasemets 
for help with this Kas10. 

        •  
 

      • New parameters TimeShower:pTmaxFudgeMPI and 
SpaceShower:pTmaxFudgeMPI introduced, to give the same 
functionality for multiparton interactions that 
TimeShower:pTmaxFudge and SpaceShower:pTmaxFudge 
do for the hardest.
        •  
 

      • A few extensions of the UserHooks framework. 
New methods UserHooks:canVetoISREmission() and 
UserHooks::doVetoISREmission(...) allows the latest 
initial-state emission to be studied before being finalized, 
with the possibility to veto it. 
Similarly Userhooks:canVetoFSREmission() and 
UserHooks::doVetoFSREmission(...) can be used to 
veto the latest final-state emission.
        •  
 

      • A number of loop counters have been introduced in the 
Info class, that offers some further information on 
the progress of the event generation, for use e.g. in conjunction 
with the UserHooks facility.
        •  
 

      • The Pythia::initTunes(...) method is made public, so that 
it can be called before the normal call from Pythia::init(...). 
That way it is possible to start out from a given tune and change a few 
of the parameters. 

        •  
 

      • Bug corrected in LHAFortran.h for hard-process input 
from Fortran commonblock. This did not work properly when the input 
was used in combination with a second hard process generated internally. 
Thanks to Mikhail Kirsanov and Roberto Chierici. 
 

      • Insertion of missing initialization of isInit in the 
Settings and ParticleData constructors, and 
nInit for BeamParticle. 
Thanks to Leif Lönnblad.
        •  
 

      • Updated Makefile.msc for Windows users.
        •  
 

      • Fix of some non-optimal use of booleans, that give warnings on 
a Windows compiler. Thanks to Anton Karneyeu.
        •  
 

      • New options for the  
SUSY Les Houches Accord such that, by default, 
particle and decay data are not overwritten for known Standard Model 
particles (including Z^0, W^+- and t, 
but excluding the Higgs).
        •  
 

      • Bug fix in SusyLesHouches, where the reading of SLHA 
information embedded in an LHEF would not stop at the end of the header 
section.
        •  
  

      • Bug correction for undefined secondary widths where decay products 
together are heavier than the mother. Also unit default secondary width 
values in the DecayChannel constructor.
        •  
  

      • Documentation updated, including change of current year to 2010.
        •  
 

       

      •  
 

    • 8.140: 16 July 2010 

        
 

      • Four new draft tunes available.
        •  
 

      • Introduction of a new scenario for production of Hidden-Valley 
particles, and interleaved showering in the QCD and HV sectors, see 
the new Hidden Valleys 
description. A longer physics writeup is available Car10. 

        •  
 

      • Implementation of 2 → 3 phase space selection intended 
for QCD processes with massless partons. A new set of matching 
phase space cut parameters. 
The ten different QCD 2 → 3 
processes have been implemented making use of this new 
possibility, so far without a complete handling of possible colour 
flows, however.
        •  
 

      • New processes have been added for 
contact interactions in 
q q → q q and q qbar → q qbar scattering.
        •  
 

      • A process has been added for TeV^-1 Sized 
Extra Dimensions, which 
involves the electroweak KK gauge bosons, i.e. gamma_{KK}/Z_{KK}, 
in one TeV^-1 sized extra dimension; see main30.cc for 
an example. This scenario is described in Bel10. Thanks to 
Noam Hod and coworkers for contributing this code.
        •  
 

      • In the Randall-Sundrum extra-dimensional scenario a new option has 
been added where SM fields can exist in the bulk rather than only on 
a brane. (Still under development.) Furthermore production of a 
Kaluza-Klein gluon state has been added, and the  main28.cc 
test program extended.
        •  
 

      • The scenario for monojets in Large Extra Dimensions has been expanded 
with an alternative for scalar graviton exchange instead of tensor one. 

        •  
 

      • New parameters for maximum scale of 
timelike showers, 
TimeShower:pTmaxMatch, and the dampening of hard radiation, 
TimeShower:pTdampMatch and TimeShower:pTdampFudge, 
by analogy with corresponding ones for spacelike showers. Also new method 
TimeShower:limitPTmax(...) to implement alternative procedures. 
For dipoles stretched to the beam the new switch 
TimeShower:dampenBeamRecoil allows to dampen radiation 
close to the beam direction, with a changed default behaviour.
        •  
 

      • Azimuthal anisotropies from coherence arguments have been introduced 
for the spacelike parton showers, see SpaceShower:phiIntAsym 
and SpaceShower:strengthIntAsym. 
Also azimuthal anisotropies from gluon polarization have been introduced 
for the spacelike parton showers, see SpaceShower:phiPolAsym, 
and updated for timelike parton showers, see 
TimeShower:phiPolAsym.
        •  
 

      • Improvements for the matching to POWHEG LHEF-style input illustrated 
by the new main71.cc example. See also Cor10.
        •  
 

      • A set of new processes gamma gamma → f fbar, with f 
quarks or leptons. Code for equivalent photon flux around an unresolved 
proton, with more to come. Thanks to Oystein Alvestad. 

        •  
 

      • A new option has been included to dampen the growth of the diffractive 
cross sections, see Total Cross 
Sections.
        •  
 

      • A new method virtual int SigmaProcess::idSChannel() 
has been introduced. If overloaded to return a nonzero value then a 
2 → n process will appear listed as a 
2 → 1 → n one. 
That is, an intermediate resonance with the requested identity will be 
inserted in the event record, even without appearing in the calculation 
of the matrix element proper. Thanks to Noam Hod for idea and code.
        •  
 

      • A new method SigmaProcess::convertM2() has been introduced 
to optionally allow the SigmaProcess::sigmaHat() to return 
the squared matrix element rather than d(sigmaHat)/d(tHat) for 
 2 → 2  processes. Furthermore kinematics is stored in the new 
mME and pME vectors for alternative cross 
section encodings.
        •  
 

      • Different encoding of the f fbar → Z W cross section, 
contributed by Merlin Kole, based on the cross section of 
Brown, Sahdev and Mikaelian. Gives a distinctly different cross section 
than the previous based on EHLQ (including their bug fix). 
In particular the problem with negative cross sections is now fixed.
        •  
 

      • Minor updates: pass xmlPath to new MSTW and CTEQ PDFs; 
reset beams earlier to give cleaner documentation.
        •  
 

      • The H1 Fit B LO parametrization to the Pomeron PDF has been included, 
and made new default for Pomerons. Thanks to Paul Newman for providing 
the data files.
        •  
 

      • Three changes, in principle unrelated, but with the common objective 
to make the generation of a given event depend only on the values 
determined during the initialization stage and on the state of the 
random-number generator when the event is begun. The new default 
should ensure a reproducible stop-and-restart behaviour, convenient 
for debug purposes. Thanks to Michael Schmelling for stressing the 
desire for such a behaviour. 

        (i) Introduction of a new option  
PhaseSpace:increaseMaximum that allows to switch between 
two strategies for handling the (hopefully rare) cases when the 
assumed maximum of the cross section function is exceeded during the 
event generation, with a changed default behaviour. In the old 
default the maximum could be increased if it was exceeded during the run, 
thereby introducing a memory of the previously generated events. 

        (ii) Updated handling of random numbers with Gaussian distributions. 
The gauss() method now only generates one value at a time. 
Instead the new gauss2() method returns a pair of Gauss 
numbers, with related time savings. In the old approach one Gaussian 
number could be buffered, which introduced a memory. 

        (iii) Minor bug fix in MiniStringFragmentation, where 
the popcorn baryon state was not reset for each new system, again 
giving a (flawed) memory.
        •  
 

      • New directory rootexample with a simple code example 
how to use ROOT for histogramming in PYTHIA runs. See 
ROOT Usage for details. Thanks to Rene Brun. 

        •  
 

      • In the HepMCinterface the checks for unhadronized 
quarks and gluons are not performed if hadronization has been switched 
off.
        •  
 

      • The UserHooks::initPtr(...) has been expanded so that 
pointers to more classes (beam particles, random number, couplings, etc.) 
are sent in, thereby increasing the scope of possible user-written code. 
Also, the UserHooks::doVetoProcessLevel(Event& process) 
now allows the process event record to be modified, 
even if it is not recommended. The new Info::pTnow() 
method returns the current pT scale of the combined MPI, ISR 
and FSR evolution, which can be useful for some user hooks decisions. 

        •  
 

      • Histograms of the Hist class can now be booked 
with up to 1000 bins, instead of the previous maximum 100. All bins 
can be written to file, but the line-printer style printing will join 
nearby bins so at most 100 are printed, as before.  
        •  
 

      • Updated configure and Makefile 
to allow 64-bit compilation and more options. Thanks to Mikhail Kirsanov, 
Rene Brun and Fons Rademakers.
        •  
 

      • Bug fix in ProcessLevel for colour flow checks of 
junctions. Enables the decay of a neutralino to three quarks, e.g. 
Thanks to Nils-Erik Bomark.
        •  
 

      • Bug fixes in TimeShower, where recoil partners in resonance 
decays of coloured particles, and recoil partners in QED dipoles when beams 
are not allowed to take a recoil, might not be correctly identified. 
        •  
 

      • Bug fix in SpaceShower: when used with a fixed 
alpha_strong, the threshold enhancement factor of 
g → Q Qbar became undefined. Thanks to Stefan Prestel.
        •  
 

      • Bug fix in initialization of resonance widths, where the 
minWidth parameter could be used uninitialized, 
occasionally resulting in strange initialization problems when 
kinematics needs to force at least one resonance to be off-shell.
        •  
 

      • Minor updates of main06.cc, main10.cc 
and main23.cc.
        •  
 

      • Bug fix in mother pointer of multiparton interactions in 
diffractive systems.
        •  
 

       

      •  
 

    • 8.142: 15 August 2010 

         
 

      • The strategy for setting up tune values has been changed. 
Previously the Tune:ee and Tune:pp 
settings were only interpreted during the 
Pythia::init(...) stage. Now they are interpreted 
as soon as they are read. Specifically this means that it is 
possible to override any of the tune parameters by putting new 
commands below Tune:ee and Tune:pp 
in the Pythia::readFile(...) configuration file 
or in the list of Pythia::readString(...) commands. 

        As a consequence of this change, the public 
Pythia::initTunes(...) method has been replaced by 
two private Settings::initTuneEE(...) and 
Settings::initTunePP(...) methods. 

        If Tune:ee or Tune:pp are 
nonvanishing by default, then the corresponding tune variables 
are set also from the Pythia constructor, before any 
user changes are possible. Currently this is not relevant. 

        •  
 

      • Bug fix in the setup of the Tune:pp = 5 and 
= 6 options, which meant that diffractive cross 
sections were not reduced as advertised.
        •  
 

      • The default value of MultipartonInteractions:pT0Ref 
has been slightly reduced so as to give a somewhat improved 
default description. It is not intended as a replacement for the 
specific tunes, however.
        •  
 

      • Some comparisons between tunes and data, obtained with the 
Rivet package, have been posted on 
 
http://home.thep.lu.se/~richard/pythia81/. 
Further improvements can be expected from future Professor-based 
tunes. The current set of 2C, 2M, 3C and 3M "draft tunes" have 
deliberately been chosen different also to explore a range of 
possibilities. One not visible in the plots is the fraction 
of single and double diffractive events in the inelastic cross 
section. This is 32% in 2C and 2M, while it was reduced to 
21% in 3C and 3M, and a recent ATLAS study (ATLAS-CONF-2010-048) 
would suggest 28+-4%.
        •  
 

      • Minor changes in TimeShower and 
SpaceShower, as protection if the c or 
b masses are set small.
        •  
 

      • Bug fix in SpaceShower, for case when phi 
angle selection is biased to take into account interference effects. 

        •  
 

      • The SigmaProcess::convertM2() method now has 
been implemented also for 2 → 1 processes, so that it is 
possible to provide the squared matrix element instead of 
sigmaHat for semi-internal processes. A fixed-width 
Breit-Wigner is also inserted, since the matrix element is supposed 
not to include it.
        •  
 

      • New method SigmaProcess::setupForME() does an 
extended conversion from the internal kinematics to an almost 
equivalent one, better adapted to the mass conventions of matrix-element 
calculation programs, such as massive incoming b quarks. 
New flags allow to determine whether the c, b, 
mu and tau should be considered massless or not 
in the calculations.
        •  
 

      • Two new friend methods table of the Hist 
class allow to print a table with three columns, the first for the 
(common!) x values and the other two for the respective 
histogram values. A new method takeSqrt for the square 
root of histogram bin contents. 

        •  
 

       

      •  
 

    • 8.145: 10 November 2010 

         
 

      • Couplings is defined in StandardModel.h 
as a derived class of coupSM and has only one extra flag: 
isSUSY to check presence of extra couplings.Changed all 
pointers CoupSM* to Couplings* and removed 
explicit references to CoupSUSY*. The coupSUSY 
object is only initialised if SUSY couplings are present. The new pointer 
couplingsPtr points either to only SM couplings or SM+SUSY 
couplings based on SLHA data.
        •  
 

      • New files SusyResonanceWidths.h/cc contains the 
SusyResonanceWidths class, which inherits from 
ResonanceWidths but typecasts the couplingsPtr 
to (CoupSUSY*) coupSUSYPtr.  This is the base class for 
all SUSY resonances. It contains the ResonanceSquark class 
for all squark decays. A new flag SLHA:useDecayTable 
to check if internal widths should be overwritten by those read in 
via SLHA.
        •  
 

      • Added new functionality to SusyLesHouches for read-in 
of generic user blocks in the SLHA format, along with methods to 
extract parameters from them with typecasting controlled by the user. 
Intended for use with user-written semi-internal processes.
        •  
 

      • Added Sigma1qq2antisquark cross section.
        •  
 

      • Some new flags and modes in the SUSY and 
SLHA series offer further functionality.
        •  
 

      • Several further changes as a consequence of the upgrade of the SUSY 
machinery.
        •  
 

      • Bug/typo fixes in rotation matrices for SUSY couplings and for the 
processes qqbar2squarkantisquark, 
qq2squarksquark and more.
        •  
 

      • Improved handling of colour junctions. Added new example program 
main72.cc, to illustrate read-in of color junction 
structures via LHEF (main72.lhe). The example used is SUSY 
with RPV.
        •  
 

      • New Tune 4C introduced as Tune:pp = 5. The more crude 
(non-)tunes 3C and 3M are removed.
        •  
 

      • New methods Settings::getFlagMap(...), 
Settings::getModeMap(...), 
Settings::getParmMap(...) and 
Settings::getWordMap(...) allows to return a map of all 
settings of the respective type that contain a specific string 
in its name. 

        •  
 

      • Improved description of excited g^*/KK-gluon^* production 
in the Sigma1qqbar2KKgluonStar and 
ResonanceKKgluon classes.
        •  
 

      • Possibility added to let Hidden-Valley gamma_v have 
a nonzero mass and decay by mixing with the ordinary photon. 
Still experimental.
        •  
 

      • Minor bug fix in handling of three-body phase space.
        •  
 

      • Minor correction in Sigma2ffbar2TEVffbar class.
        •  
 

      • Bug fix for decays of W' to a pair of heavy fermions when 
gV != gA. Thanks to M. Chizhov, see arXiv:0705.3944. 
        •  
 

      • Restore the older EHLQ-based encoding of the f fbar → Z W 
cross section, which was changed in version 8.140, since comparisons 
with Madgraph gives much better agreement with it than with the 
expression of Brown, Sahdev and Mikaelian.
        •  
 

      • The HepMCInterface now also stores colour flow 
information for coloured particles.
        •  
 

      • Pointer to Couplings made available for particle 
decays.
        •  
 

      • Minor update in main61.cc for more elegant usage 
of FastJet, as suggested by Gregory Soyez.
        •  
 

       

      •  
 

    • 8.150: 20 April 2011 

         
 

      • Tune 4C is made default. It is based on first comparisons with 
LHC data Cor10a, and has also been checked independently 
Buc11 to give reasonable agreement with many distributions. 

        •  
 

      • The description of tau lepton decays has been significantly 
enhanced, to include helicity information related to the production 
process and hadronic currents fitted to data. A complete writeup is 
in preparation, while a summary can be found in Ilt12. 
A new flag is introduced to revert to the old behaviour, for 
cross-checks, see Particle Decays. 
The new tau decay machinery is on by default. 

        •  
 

      • A new option MultipartonInteractions:bProfile = 4 has 
been introduced for the impact-parameter profile of protons in the 
Multiparton Interactions 
framework, wherein low-x partons are spread over a larger area 
than high-x ones, see Cor11. A new method 
Info::eMPI(i) gives back the enhancement factor related to 
the i'th interaction. The impact-parameter profile can now 
be selected separately for diffraction, 
but without a bProfile = 4 option. 

        •  
 

      • The possibility of "hadronization" in the 
Hidden Valley sector 
has been added as a new option HiddenValley:fragment = on. 
This is based on a copy of the standard string fragmentation framework, 
but with the option of a completely separate "flavour" sector, and 
separately tunable longitudinal fragmentation functions and transverse 
momenta. For now only a simple flavour scenario is provided, where 
flavour-diagonal mesons can decay back into the normal visible sector 
while off-diagonal ones remain hidden. A writeup of the model is in 
preparation Car11. Also some further Hidden Valley options 
have been added.
        •  
 

      • Included possibility in TimeShower for QCD dipoles to 
have an adjustable normalization factor, via the new 
bool isFlexible and double flexFactor 
properties of class TimeDipoleEnd. This flexibility is used 
to treat radiation off colour topologies with epsilon tensors, in 
particular colour junctions which have all their partons in the 
final state. (An example is the BNV-SUSY decay ~chi0→uds.) For 
such topologies, the new treatment in PYTHIA 8 is that a 
half-strength dipole is spanned between all combinations of 
final-state quarks. For junctions with an incoming (anti)colour line (such 
as in the BNV-SUSY decay ~t*→cb), a full-strength dipole is 
instead spanned between the two daughters, with no radiation from the 
decaying object (in its CM). As will be described in a forthcoming 
paper with N. Desai, this should give the 
closest possible correspondence to the radiation patterns exhibited 
by higher-order matrix elements for this type of process.
        •  
 

      • Corrected harmless bugs in ProcessLevel::findJunctions 
which caused junctions of types 3 and 4 (i.e., junctions with 1 
incoming color tag) to sometimes be incorrectly classified as types 
1 and 2 (with all color tags outgoing), respectively. 
Since the parity (even/odd) of the junction kind was still correct, 
however, this did not cause any problems at the hadronization 
stage.
        •  
 

      • The junction-finder in ProcessLevel::findJunctions 
has been made more stable, and the following ordering of the color 
tags returned by Event::endColJunction(iJun, iLeg)  is 
now enforced: for junction kinds 3 and 4 (one tag 
incoming), iLeg = 0 will return the 
incoming tag, while for kinds 5 and 6 (two tags incoming), 
iLeg = 0 and iLeg = 1 will return the 
incoming tags. Apart from this ordering, the color tags are 
ordered in ascending color tag number.
        •  
 

      • Declarations of friend functions moved to sit outside the class 
it befriends. Thanks to Axel Naumann for pointing out the incorrect 
previous construction.
        •  
 

      • The rootexample subdirectory becomes 
rootexamples as the old example is split into two, 
with improved documentation to clarify usage. Thanks to Axel Naumann 
and Bernhard Meirose for the new code.
        •  
 

      • In the Les Houches Event File machinery, input type has been 
changed from ifstream to istream for more 
flexibility.
        •  
 

      • R-hadron  handling is largely implemented, see the 
R-hadrons page, although some aspects 
still need polishing. A new class RHadrons takes 
care of the hadronization and decay. Particle data have been added 
for R-hadrons containing a gluino, stop or sbottom, but could 
alternatively be used for other long-lived coloured particles. 
Thanks to Bernhard Meirose for support. 

        •  
 

      • Calculations of SUSY decay widths included by 
  N. Desai, contained in the new source 
files SusyResonanceWidth.cc 
  and .h. Validation and addition of more modes is still in 
  progress, so this implementation should be considered preliminary 
  for now. For a list of available modes, see 
  the SUSY Processes page. 

        •  
 

      • A first implementation of the SLHA-based QNUMBERS interface for 
  defining new exotic particles has been 
  included. See Alw07 and 
  the SUSY Les Houches Accord 
  page. 
        •  
 

      • Read-in of LHEF events containing Baryon Number Violating vertices 
  has been included, using colour junctions, see 
  the Event Record page. The advanced 
  shower model taking into account the full colour structure of such 
  events, developed by N. Desai and described above, 
  is turned on by default in such events. 
  Several test cases were used to 
  validate this implementation, but it is possible that problems could 
  still exist for some cases. Feedback is welcome. Thanks to 
  the MadGraph authors for providing several test cases.
        •  
 

      • Some first steps taken to allow events containing colour sextets, 
  e.g., from semi-internal processes or LHEF interfaces, and/or from 
  SLHA DECAY tables. New 
  colType codes 3 and -3 are introduced to describe 
  sextets and antisextets, respectively. The state of the current 
  implementation is that hard processes containing such states can be 
  read in and decays generated (via DECAY tables). Parton 
  showers can be added, but the sextets themselves do not, as yet, 
  shower, and any undecayed sextets remaining at the hadronization 
  stage would lead to unpredictable problems if hadronization is 
  switched on. Thanks to J. Alwall for help with testing 
  this implementation. 

        •  
 

      • The functionality of the SLHA SUSY/BSM interface (see 
  the SUSY Les Houches page) has been 
  extended so that copies of all BLOCKs are now stored 
  internally as 
  strings, regardless of whether they correspond to "official" SLHA 
  blocks or not. Their contents can subsequently be queried by a set 
  of new templated member functions of the 
  class SusyLesHouches. Available query functions so far 
  include 
  
        template <class T> bool getEntry(string, T&);, 
  
        template <class T> bool getEntry(string, int, T&);, 
  
        template <class T> bool getEntry(string, int, int, T&); 
  , and 
  
        template <class T> bool getEntry(string, int, 
  int, int, T&);, 
  
        where the type of 
  the argument used in the call determines how to read the block 
  entries. Thus, if an LHEF, SLHA, or other card file is read in by 
  PYTHIA, the contents of any BLOCK in that file can 
  subsequently be queried run-time using these functions. This is 
  used, e.g., in the new interface between MADGRAPH 5 and PYTHIA 
  8. Thanks to the MADGRAPH team, and to J. Alwall in particular, for 
  help and debug on this new implementation. 

        •  
 

       

      •  
 

    • 8.153: 10 August 2011 

         
 

      • The setup of tunes has been modified, see the 
Tunes page for details. Specifically 
the Tune:ee and Tune:pp modes have 
acquired a new option -1 for a forced restore to the 
default values of all settings used in the respective kind of 
tunes.
        •  
 

      • The code for handling multiparton interactions in the scenario with 
an x-dependent width of the Gaussian matter profile 
Cor11, has been improved and updated. Tune 4Cx, which 
is based on this option, has been added as a further tune option.
        •  
 

      • A possibility to bias the phase-space selection has been added, 
whereby some phase space regions can be oversampled, which is 
compensated by assigning a weight to each event. 
A new set of methods have been added to the UserHooks 
class to allow users to program how to bias the selection.
        •  
 

      • New options added so that matrix-element corrections can be 
switched off after the first branching in ISR or FSR.
        •  
 

      • Some new Info methods have been added to store 
information on latest ISR branching.  The SpaceShower 
class has also been corrected so that the latest z = 1/2 
when not defined by history. This avoids undefined values for 
azimuthal asymmetries. Thanks to Stefan Prestel for finding and 
sorting out this problem.
        •  
 

      • The Pythia::forceHadronLevel() method now takes 
an argument that optionally means that existing junction information 
is not overwritten. Thanks to Leif Lönnblad for pointing out 
the usefulness of this.
        •  
 

      • For particle decays to a varying number of hadrons the multiplicity 
increase with mass has been somewhat reduced, and especially for 
meMode = 23 a separate even slower increase has been 
introduced.
        •  
 

      • New possibility to force the tau polarization.
        •  
 

      • Bug fix for the special case in which events containing SUSY 
particles are generated without proper initialization of SUSY decays. 
This can happen, e.g., if events containing SUSY particles are read 
in via external LHEF files, if those files do not contain readable 
SLHA spectra in their headers. In this case, a failed attempt to 
generate sparticle decays with ill-defined couplings previously 
led to crashes. The program now reverts to the old behaviour, 
based on static decay tables, in such cases, with the default 
being to decay all sparticles to gravitino + particle. An error 
message stating that the full SUSY treatment has been switched 
off and why is also issued. Thanks to N. Desai for this fix.
        •  
 

      • The R-hadron machinery has been completed.
        •  
 

      • Minor change in timelike showers: gluons which fall below the 
pTmin cutoff by the correction for mass effects are now 
eliminated, while previously they were kept. This reduces the 
number of gluons somewhat, but has no significant effects on the 
hadronic final state. (Prompted by R-hadron studies, where big mass 
effects else give bothersome low-energy gluons.)
        •  
 

      • Corrected typos in two of the Upsilon wave function matrix 
elements, Bottomonium:OUpsilon3P08 and 
Bottomonium:Ochib03P01. Thanks to Beate Heinemann for 
pointing it out.
        •  
 

      • Implemented f* decay angle in f f → f f* processes, 
and fixed some bugs for the same process. Thanks to Piyali Banerjee 
for tests.
        •  
 

      • Introduce possibility to separate production channels for 
TeV-sized extra dimensions, and a small code correction. Thanks to 
Noam Hod for code contribution.
        •  
 

      • Bug fix for neutrino beams: since neutrinos are always lefthanded 
there should be a factor 2 in the cross section, relative to charged 
leptons, from the non-need to average over incoming spin states. This 
is now fixed by introducing a new PDF class NeutrinoPoint 
for (unresolved) neutrinos, with normalization 2 rather than 1 for 
charged leptons. Thanks to Ryosuke Sato.
        •  
 

      • Bug fix for some (rarely used) particle settings, which could not 
be changed by users because they were read too early. Thanks to 
Andrew Altheimer and Gustaaf Brooijmans.
        •  
 

      • Bug fix in handling of tau decays, where setting of 
decay vertices could write outside memory. Thanks to Steven Schramm.
        •  
 

      • Minor expansion of the BeamParticle constructor.
        •  
 

      • Minor bug fix in CTEQ 6L for uninitialized variables.
        •  
 

      • Minor bug fix in fragmentation flavour combination to hadron.
        •  
 

      • Some updates of the documentation, including new pages on 
MadGraph 5 as a generator for semi-internal processes (thanks to 
Johan Alwall) and on RIVET interfacing.
        •  
  

      • Minor improvements of ROOT- and HepMC-related code and documentation.
        •  
 

      • Some cleanup of code.
        •  
 

       

      •  
 

    • 8.157: 10 November 2011 

         
 
Stefan Prestel joins as new member of the PYTHIA author team. 
He is mainly working on matching/merging issues, and has contributed 
the CKKW-L machinery mentioned below. 
 

      • Merging capabilities according to the CKKW-L scheme Lon11 
have been added, see the new 
Matrix Element Merging 
page. It involves new classes to reconstruct and select how a 
matrix-element-generated partonic configuration could have been obtained 
by the PYTHIA evolution, and to perform trial showers (using a new 
copy of the normal parton-level machinery) that introduce the appropriate 
Sudakov suppression factors. New examples to illustrate various 
common tasks are found in main81.cc, main82.cc, 
main83.cc and main84.cc.
        •  
 

      • The main71.cc program is now generalised for reading 
in arbitrary POWHEG LHE files, to implement a smooth matching between NLO 
matrix elements and the PYTHIA parton showers. Cuts are made on both 
ISR and FSR emissions, while previously only ISR was covered. The key 
assumptions are the pT definitions used for ISR and FSR, but several 
further options are available, as documented in the main71.cmnd 
file. Work is still ongoing to pick the best default options. 
        •  
 

      • Several expansions of the UserHooks class. 
For both doVetoFSREmission and doVetoISREmission 
a new argument iSys labels the system within which the 
radiation occurs. For doVetoFSREmission a further argument 
inResonance distinguishes FSR in resonance 
decays from that in the hard process itself. New methods 
canVetoMPIEmission and doVetoMPIEmission 
have been added to veto multiparton interactions in the same way as 
FSR and ISR. In biasSelectionBy at times incorrect values 
for inEvent has been corrected. Also some systematization 
of the use of const.
        •  
 

      • A new model for hadron scattering is introduced, still at an early 
stage and therefore more intended for internal development than for the 
normal user. The basic idea is that a high-energy pp collision 
involves the fragmentation of multiparton strings that overlap in space 
(and time). Also the produced hadrons therefore initially overlap, and 
there is a strong likelihood that hadrons can scatter against each other 
until the system has expanded sufficiently. This can e.g. increase the 
transverse momentum of heavier hadrons at the expense of lighter ones. 

        •  
 

      • A new jet finder SlowJet offers simple access to the 
inclusive kT, anti-kT, and Cambridge/Aachen 
algorithms in a cylindrical coordinate frame. The jet reconstruction 
is then based on sequential recombination with progressive removal, 
using the E recombination scheme. The minimalistic 
SlowJet code is much slower than FastJet 
Cac06, and contains less options, but reconstructs the same 
jets if run under identical conditions. For details see the 
Event Analysis page.
        •  
 

      • Starting in gcc 4.6, it is possible to switch off specific warnings 
around specific blocks of code. Although version 4.6 is some way off 
from being commonly found, this option has now been introduced to switch 
off -Wshadow warnings in HepMCInterface.cc. 
For other compilers, or earlier versions of gcc, the old behaviour 
is retained.
        •  
 

      • Support for reading in gzipped LHEFs has been added in the 
LesHouches and SusyLesHouches classes. 
This also affects configure and Makefiles. 
Unless explicitly enabled, it should not affect anything. 
If enabled, it relies on the Boost and zlib libraries to function, 
so paths to these must be set appropriately, see the 
README file for details. The Boost header files can 
give very many shadow warnings, so -Wshadow is disabled 
if gzip support is enabled, as described above.
        •  
 

      • Introduce use of the HEPMC_HAS_UNITS environment 
variable in the HepMCInterface.cc and main32.cc 
codes to automatically check whether GeV and mm can be set as relevant 
units. If yes, then it is set in main32.cc. If no, 
a conversion from GeV to MeV is done explicitly in 
HepMCInterface.cc. Note that, for early HepMC versions, 
this means a change of behaviour. Thanks to Andy Buckley.
        •  
 

      • A new method Info::lhaStrategy() returns the 
Les Houches event weighting strategy where relevant, and 0 where not. 
For the strategies +-4 the event weight and sum, 
Info::weight() and Info::weightSum(), 
is now in units of pb at output, as it should be at input. 
(While internally mb is used.)
        •  
 

      • New flag Check:abortIfVeto allows the user to 
resume control over execution in case of a veto in the event 
generation process.
        •  
 

      • New method Event::at(i) returns reference to 
i'th particle in the event record.
        •  
 

      • Introduce the Fermi constant as one of the Standard Model 
parameters.
        •  
 

      • Included automatic pre-initialization of SLHA blocks MASS and 
SMINPUTS using PYTHIA's SM parameters and particle data table 
values.
        •  
 

      • SUSY: added sleptons (and sneutrinos) as resonances. 
Corrected 2-body decay widths of gluinos, squarks and gauginos. 
Added sleptonic decay modes to gaugino decays. 
Implemented 2-body decays of sleptons (and sneutrinos) 
into sleptons/leptons/gauginos. Corrected slepton couplings (they 
now look exactly like squark couplings, using a 6x6 slepton mixing 
matrix).
        •  
 

      • New parameter Diffraction:probMaxPert introduce to 
give more flexibility in transition from a nonperturbative to a 
perturbative description of a diffractive system.
        •  
 

      • Bug corrected in SigmaEW.cc, for the process 
WeakSingleBoson:ffbar2ffbar(s:gm). Previously, all outgoing 
quark flavours in this process were erroneously assigned ID code 5 
(b quarks). This has now been corrected so the proper ratios are 
obtained, with u : c : d : s : b = 4 : 4 : 1 : 1 : 1, 
according to the squared quark charges.
        •  
   

      • Changes in FragmentationSystems and 
StringFragmentation to reject systems with three or more 
interconnected junctions. This may happen in baryon-number-violating 
scenarios in pp collisions, if both of the beam baryon junctions are 
resolved and get connected via an antijunction created by a 
hard-process BNV vertex. In principle, this could be addressed by an 
extension of the existing junction fragmentation framework. However, 
since it happens rarely, for the time being an error message is printed 
and the fragmentation restarted. 

        •  
 

      • Change in Event::copy to safeguard against attempting 
to copy out-of-range entries. An attempt to copy a non-existing entry 
will now return -1.
        •  
 

      • Bug fix in the machinery for the user to force the setting of 
tau polarization.
        •  
 

      • Bug fix in the initial search for a maximum of the process 
cross section (only affecting rare cases).
        •  
 

      • Corrected angular decay distributions for two compositeness 
processes, Sigma2qq2qStarq and 
Sigma2qqbar2lStarlbar.
        •  
    

      • Extra check in HiddenValleyFragmentation to make sure 
that pointers which have not been assigned with new are not 
deleted.
        •  
 

      • Some further minor changes.
        •  
 

       

      •  
 

    • 8.160: 23 January 2012 

         
 

      • The older term "multiple interactions" has been replaced by the 
new standard "multiparton interactions" one, and correspondingly the 
abbreviation MI by MPI. This affects everything: settings, class and 
method names, documentation, etc. It therefore becomes necessary to 
rewrite user code. However, so as to keep the immediate effort at a 
reasonable level, the old settings names are kept as aliases. Thus 
PartonLevel:MI and PartonLevel:MPI are 
equivalent, and similarly MultipleInteractions:pT0Ref 
and MultipartonInteractions:pT0Ref. Should you be using 
methods such as double Info::pTMI(int i) you need to 
edit the code, however. All the example/main* files 
have been updated accordingly.
        •  
 

      • A new option Beams:frameType = 5 has been added 
for the case where an external generator should provide LHA process 
information. The new Pythia::setLHAupPtr(...) method 
should then be used to link in this generator. The new switch 
Beams:newLHEFsameInit can be used to tell that a new 
LHEF should be used, but without the need for a new initialization. 
With these two changes, all the different ways of initializing 
can be covered by the Pythia::init() call with no 
arguments. The various init(...)options with arguments 
are deprecated and will be removed for PYTHIA 8.2.
        •  
 

      •  The Pythia::stat() method, with no arguments, 
replaces Pythia::statistics(...), although the latter 
remains as a deprecated alternative.
        •  
 

      • New settings Init:..., Next:..., 
and Stat:... can be used to steer some details of 
the operation of the Pythia::init(), 
Pythia::next() and  Pythia::stat(), 
respectively. In particular it affects the amount of printout 
at the various stages of operation. See 
here for further details. 
This change involves several code changes, but in documentation 
rather than physics. Most of the Main:... settings 
are deprecated as a consequence.
        •  
 

      • The sample main programs in the examples subdirectory 
have been updated. This includes a change to the new favoured 
methods and settings outlined above, plus some update of the 
physics contents. Some of the examples have been combined, 
some others have been added (e.g. for R-hadrons), and as a consequence 
some renumbering has been made. See the modified list of 
sample main programs for 
the new status. In particular note that (the new) main61.cc 
allows streamlined input and output in HepMC, like main42.cc 
(previously main32.cc), but additionally links to LHAPDF. 
        •  
 

      • The examples/configure script has new optional argument 
--with-pythia8. It can be used to set the new 
PYTHIA8LOCATION environment variable, which then is used 
in examples/Makefile to give the path to the PYTHIA 
library. Thereby it becomes possible to relocate (parts of) the 
examples directory and still obtain the correct path. 
Thanks to Mikhail Kirsanov.
        •  
 

      • Polarization information has been included as a new 
Particle property, that can be set by 
void pol(double polIn) and obtained by 
double pol(). Default value is 9., 
in agreement with the Les Houches standard. Event listings have 
been expanded to optionally display this information. Currently 
polarization is not used internally.
        •  
 

      • The matrix element merging machinery has been modified as follows. 

        - Improved handling of the hard process, so that MadGraph5-produced 
LHE files do not produce problems (sometimes, the choices of MG4 on what 
to put into a LHEF have changed in MG5). 

        - Improved handling of colour for easier handling of states with 
many quarks (the code has been tested for states with up to 5 
q qbar pairs and some gluons). 

        - Improved checking which clusterings are allowed. Now, clusterings 
should immediately be rejected if they lead to unphysical states, 
without the need to explicitly construct these states. This was needed 
to get t tbar production, VBF and some simple SUSY processes 
running with reasonable generality. 

        - Improved handling of incomplete histories. Now there is an 
additional switch allowing code to try to swap some colours when fewer 
clusterings than requested have been found. 

        •  
 

      • Updates in the handling of graviton resonances in scenarios with 
extra dimensions. 

        - Now all G decays have correct angular distribution, which was not 
the case before for W/Z decays. 

        - Added the possibility for G to only couple to longitudinal 
W/Z bosons, which affects both the width and angular distributions. 

        - Added decays to Higgs pairs, G → hh. 

        •  
 

      • Bug fix in the findJunctions() function in 
ProcessLevel.cc. Changes introduced in version 
8.145 (to allow for junctions in baryon-number-violating 
processes) did not correctly handle the remapping of color 
tags that can be applied when adding beam remnants to events with 
multiparton interactions. A simpler and more stable algorithm is 
now applied for the simplest cases, with the more complex one only 
invoked for cases such as BNV, which are normally considered before 
remnants are added, hence avoiding this particular problem. Also some 
other changes in the handling of junction, including a safeguard to 
reject systems with three or more interconnected junctions.
        •  
 

      • Bug fix and updates to the SLHA interface. Possibility of infinite 
loop during ProcessLevel::initSLHA corrected. Modifications 
to SusyLesHouches to allow interpretation of SLHA1 spectra 
with R-parity violation. Rather than reject spectra that do not conform 
fully to the SLHA2 standard for RPV, the interface will now first look 
for SLHA1 mixing matrices and attempt to translate those into SLHA2 ones 
if possible. In this case, warnings that the expected SLHA2 blocks were 
not found will be printed. It is up to the user to check that the 
derived SLHA2 information is correct. Corresponding additions to 
SusyCouplings.cc to extract mixing-matrix information 
from the relevant SLHA2 RPV blocks when RPV is switched on.
        •  
 

      • Updated SLHA example main24.cmnd to use new example 
spectrum, cmssm.spc, corresponding to CMSSM point 
10.1.1, obtained with SOFTSUSY 3.3.0. Thanks to B. Allanach for 
providing the new spectrum file.
        •  
 

      • A new include/FastJet3.h header file simplifies 
interfacing of FastJet to Pythia. For details see documentation in 
the file itself. Thanks to Gavin Salam for this contribution.
        •  
 

      • The handling of diffraction has been made more flexible. 
Specifically the "total" Pomeron-proton cross section can now be made 
to depend on the mass of the diffractive system. This does not affect 
the diffractive cross section in pp collisions, which is set separately, 
but is used in the MPI machinery to affect the average number of 
interactions per Pomeron-proton collision. Furthermore, the allowed 
range for some parameters has been expanded. Thanks to Robert 
Ciesielski.
        •  
 

      • New method Pythia::forceTimeShower(...) can be used to 
generate a single final-state cascade from a set of partons, without 
any knowledge of prior history. This is mainly intended for toy studies. 
The meaning of the ProcessLevel:all switch has been modified 
so that this parton-level function is available, but not any others 
at this level. 

        •  
 

      • ATLAS tune A2 now included. Thanks to Deepak Kar for 
providing it.
        •  
 

      • Change in the handling of recoils of timelike showers in resonance 
decays, in cases of coloured resonances such as t → b W. In 
the first step the W always acts as recoiler to the b, 
but in subsequent step previously the W remained as recoiler to 
one dipole, while now all QCD-radiating partons recoil against another 
coloured parton. The old behaviour could give a (small) unphysical spike 
of radiation collinear with the colourless recoiler in the subsequent 
emissions (while the pattern of the first was and remains correct). 
The old behaviour can be recovered for checks, see 
TimeShower:recoilToColoured. 
Thanks to Yevgeny Kats for pointing out this issue (previously noted 
for Pythia 6 by several persons). 

        •  
 

      • Bug fixes for rootexamples/Makefile and restoration 
of some deleted information in rootexamples/README. 
Thanks to Axel Naumann and Bernhard Meirose.
        •  
 

      • Bug fix, so that displaced vertices are possible in resonance 
decay chains. Thanks to Daniel Blackburn and Andy Buckley for 
pointing this out.
        •  
 

      • Bug fix for Info counter 2.
        •  
 

      • Bug fix so that sextet quarks now are read in correctly from 
Les Houches Event files; previously the (anti)colours were set 
to 0.
        •  
 

      • Year updated to 2012 in copyright statements etc.
        •  
 

      • Reformatting to reduce the number of code lines with more 
than 79 characters.
        •  
 

      • Pythia::initSLHA() moved from public 
to private. 

        •  
 

      • Remove warning message when tau polarization is set by hand.
        •  
 

      • Several minor changes to reduce the number of warnings issued 
by the clang compiler. The origin of some warnings remains unclear 
so those remain to track down (could also be compiler bugs; note that 
we discuss warnings, not errors). Thanks to Randy MacLeod for bringing 
this up.
        •  
 

      • The worksheet has been updated to be in step with Pythia 8.160.
        •  
 

      • Several other minor corrections in the code and documentation.
        •  
 

       

      •  
 

    • 8.162: 12 March 2012 

         
 

      • A new option allows for several partons to share the recoil in 
final-state radiation, seeTimelike 
Showers. It is mainly intended to be used in the context of 
matching to matrix elements, and so only to be used in the first 
few branchings.
        •  
 

      • Several new processes for LED dijet production, see 
Extra Dimensions.
        •  
 

      • Small update of the Sigma2ffbar2LEDllbar and 
Sigma2ffbar2LEDgammagamma LED processes.
        •  
 

      • New Sigma2QCffbar2llbar 
contact interaction 
process.
        •  
 

      • Inclusion of a new method in the 
matrix-element merging 
framework to influence the construction of histories, e.g. to already 
in the construction of histories disallow paths that fail the 
2 → 2 cuts.
        •  
 

      • Further minor updates of the matrix-element merging code, 
mainly for improved clarity.
        •  
 

      • Minor bug fix in the handling of beam and event information fed 
in from an LHAup instance.
        •  
 

      • Minor bug fix for potential crashes from uninitialized variables 
for the merging machinery when merging is not used.
        •  
 

      • Updated History class for matrix element merging, 
also avoiding some compiler warnings.
        •  
 

      • Bug fixes in the handling of correlated mass choices in resonance 
decays, such as H → Z^*0 Z^*0.
        •  
 

      • Bug fix when the process-level execution is switched off, 
where Info::isResolved() could be called before its 
value was initialized. Thanks to Christian Pulvermacher 
for finding this.
        •  
 

      • Corrected matrix-element expression for mass selection in 
A^0 → Z^*0 Z^*0 and A^0 → W^*+ W^*-.
        •  
 

      • SM Higgs mass updated to 125 GeV and default width and branching 
ratios modified accordingly. Minor technical improvements of width 
calculation.
        •  
 

      • The usage of nested classes has been removed from 
SusyLesHouches, since it could give compilation errors 
on some platforms. The new class names begin with LH 
and all classes have been put inside the Pythia8 
namespace.
        •  
 

      • Minor Makefile updates. Thanks to Mikhail Kirsanov.
        •  
 

      • Minor changes to avoid some clang compiler warnings on the 
Mac OS X platform.
        •  
 

       

      •  
 

    • 8.163: 27 March 2012 

         
 

      • New methods in the 
Info class, 
id1pdf(), id2pdf(), x1pdf() 
and x2pdf(), to denote the partons for which parton 
distribution values have been defined. Previously this was assumed 
to agree with the incoming partons to the hard process, the same 
methods without the pdf qualifier. However, now the 
POWHEG approach offers a counterexample. Also the reading and 
handling of Les Houches (and other) events, and the interface 
to HepMC, has been modified accordingly. 

        •  
 

      • The decay of Higgs and top resonances read in from Les Houches 
Event files is now performed with angular correlations as for 
internal processes. LHE files should normally contain all process-specific 
resonance decay chains and, if not, decays are made isotropic. 
The H → WW/ZZ → f fbar f' fbar' and 
t → b W → b f fbar correlations are process-independent, 
however, and thus can be handled internally. If part of the decay 
chain has already been set, e.g. H → WW/Z> or 
t → b W, then the subsequent decays are still isotropic.
        •  
 

      • Updated instructions how to link to HepMC, 
in README.HepMC.
        •  
 

      • Bug fix in the turn-on of resolved diffraction for low 
CM energies. Thanks to Erwin Visser.
        •  
 

      • Bug fix in the handling of string junctions at very high energies, 
caused by numerical errors. Thanks to Erwin Visser.
        •  
 

      • Some other small changes, mainly aesthetics.
        •  
 

       

      •  
 

    • 8.165: 8 May 2012 

         
 

      • The MBR (Minimum Bias Rockefeller) model for single, double and 
central diffraction Cie12 is included as new option 
Diffraction:PomFlux = 5. 
It is specifically intended for p p and pbar p 
interactions, and is currently the only option that also supports 
central diffraction. Thus the basic machinery for Central Diffraction 
(a.k.a. Double Pomeron Exchange) has now been implemented. 
See examples/main04.cc for an example. 
Thanks to Robert Ciesielski for contributing the new code. 

        •  
 

      • For a tau lepton in an external process, by default the 
SPINUP number in the Les Houches Accord now is interpreted as giving 
the tau helicity, and is used for its decay.
        •  
 

      • A tau coming from a W now defaults to being purely 
lefthanded when neither of the existing matrix elements apply.
        •  
 

      • Decay mode t → H+ b included as an option.
        •  
 

      • Four ATLAS tunes have been implemented as options for 
Tune:pp: A2-minbias-mstw2008lo, AU2-cteq6l1, AU2-mstw2008lo, 
and AU2-ct10. The new flag Tune:preferLHAPDF can be used 
to switch between the LHAPDF and the internal implementation of a 
PDF set, in cases where both are available.
        •  
 

      • Reorder libraries in examples/Makefile, specifically 
move LIBGZIP so that it is properly linked when used. 
Thanks to Erik Schnetter.
        •  
 

      • Minor modification so that LHAPDF can be used for PDFs in the hard 
process, with one of the built-in PDFs for the rest, even if LHAPDF is 
compiled so as to handle only one concurrent PDF set.
        •  
 

      • Bug fix, that ParticleDecays:mixB = off did not 
switch off B0 - B0bar and Bs0 - Bs0bar mixing. 
Thanks to James Catmore.
        •  
 

      • Bug fix for the handling of gluon polarization of initial-state 
radiation, where an anisotropic azimuthal distribution was inadvertently 
generated in some 2 → 1 processes. The update also includes 
always setting the second daughter zero for the two partons coming in to 
a hard 2 → 1 process. Thanks to Antonio Policicchio.
        •  
 

      • Bug fix, that the setting of the number of user hooks MPI steps did 
not use UserHooks::canVetoMPIStep() properly.
        •  
 

      • Some other small changes, mainly documentation and aesthetics.
        •  
 

       

      •  
 

    • 8.170: 21 September 2012 

         
 

      • Streamline default behaviour and options for choice of GeV or MeV 
for output to the HepMC event format, see 
HepMC Interface. 
Also set the mass of HepMC particles explicitly, rather than having 
it calculated implicitly. Thanks to James Monk and Andy Buckley.
        •  
 

      • The tau decay machinery has been further augmented with 
matrix elements and form factors for a variety of decay modes, such 
that all modes with a branching ratio above 0.1% are fully modeled. 
Several new classes and methods have been added to this end, 
Also, a tau pair coming from a Z^0 decay is now 
handled by assuming the Z^0 to be unpolarized when neither 
of the existing matrix elements apply. Taus coming from B baryons are 
handed as for B mesons.
        •  
 

      • Flavour violating decays have been added to the squark, gluino, 
neutralino and chargino decay tables.
        •  
 

      • Extend the UserHooks::subEvent(...) method so that it 
also works passably at the process level. Also new option for 
UserHooks::omitResonanceDecays(...).
        •  
 

      • New methods UserHooks::canVetoPartonLevelEarly() 
and UserHooks::doVetoPartonLevelEarly( const Event&) 
are intended to be used the same way as the existing ones without 
Early in their names, but allow veto right after 
the ISR + FSR + MPI evolution, before beam remnants are added and 
resonance decays are considered.
        •  
 

      • Central diffraction now available for all 
PomFlux 
options, not only the MBR model. This has been constructed by analogy 
with the respective assumptions made for single diffraction, but 
includes some arbitrariness. Therefore the cross section is left 
easily rescaleable and, for backwards compatibility with tunes 
that does not contain it, easily possible to switch off, see 
the relevant section. 

        •  
 

      • Reading of ALPGEN parameter and event files has been added, 
see ALPGEN and MLM Merging. 

        •  
 

      • MLM matching has been added, as a first step for ALPGEN events, 
see ALPGEN and MLM Merging. 

        •  
 

      • The CKKW-L merging machinery has been upgraded in a number of respects. 

        - More thorough treatment of pp>bb~e+e-veve~ with 
additional b-jets. 

        - Corrected hard mu_r and mu_f choices for 
dijet and prompt photon. 

        - More ways to define a hard process, e.g. with the LEPTONS and 
NEUTRINO tags. The merging will understand LHE files for mixed processes 
(e.g. W+ and W- production together). 

        - More merging scale definitions. 

        - More freedom to generate all possible histories. 

        - Internal check (and cut) on Les Houches events in 
Pythia::mergeProcess if merging scale value of the events 
is below the value given to Pythia by setting Merging::TMS. 

        •  
 

      • It now works to have R-parity violating decays of R-hadrons, 
i.e. baryon number violation in a vertex displaced from the primary 
one.
        •  
 

      • The documentation of diffractive processes by the 
Info 
methods has been expanded and corrected. This also include the 
list() method.
        •  
 

      • Particle masses and widths have been updated to agree with the 
2012 RPP values Ber12. Thanks to Piotr Zyla for data file 
and James Catmore for program to update the PYTHIA tables from this 
input.
        •  
 

      • New methods jetAssignment and removeJet 
added to the SlowJet class.
        •  
 

      • Introduce angular correlation in decay chain 
H → gamma Z0 → gamma f fbar. Thanks to Tim Barklow and 
Michael Peskin.
        •  
 

      • Introduce simple way to bias the selection of 2 → 2 
processes towards larger pT values, with a compensatingly 
decreasing event weight, see 
Phase Space Cuts. Only offers a 
subset of the possibilities allowed by UserHooks, 
but simpler to use. The main08.cc program has been 
expanded to illustrate this possibility, and also expanded to 
include low-pT subsamples.
        •  
 

      • The two remaining non-NLO tunes from ATL12 are now 
included.
        •  
 

      • The Info methods 
nTried, nSelected, nAccepted, sigmaGen and 
SigmaErr now takes the code of an individual process 
as an optional argument.
        •  
 

      • It is now possible to generate resonance decays, followed by 
showers and hadronization, without having them associated with any 
specific process. This is part of an expanded 
Hadron-Level Standalone 
machinery, as before triggered by ProcessLevel = off, 
but additionally requiring Standalone:allowResDec = on. 
Input can either be directly into the event 
event record or via a (simplified) Les Houches Event File.
        •  
 

      • New configure script options --installdir, 
--prefix and --datadir can be used to set the 
location(s) to which the library, header and data directories 
will be copied by a make install subsequent to the 
make. Thanks to Mikhail Kirsanov.
        •  
 

      • Fix charge in antiparticle name when particle read in from SLHA 
file. Thanks to Johan Alwall.
        •  
 

      • Pointers now only compared with == and != (not e.g. > 0), to avoid 
warnings in gcc 4.7.
        •  
 

      • New check that version number of the code matches that of the 
XML files. If not, no events can be generated. Thanks to James Monk 
for suggestion.
        •  
  

      • New check that mother and daughter indices have been set to give 
a consistent event history. Can be switched on/off with the new 
Check:history flag.
        •  
 

      • A new method LHAup::newEventFile has been added to 
switch to reading in events from another LHE file without having to 
reinitialize the whole class. Lower-level routines like 
openFile and closeFile have been added to 
handle correct order of operations also when an intermediate gzip 
decompression step is involved.
        •  
 

      • LHAup::eventLHEF() can now be called with an optional 
argument false, to make event files somewhat smaller by 
reducing the amount of blanks.
        •  
 

      • A new mode Beams:nSkipLHEFatInit introduced to 
skip ahead the first few events in a Les Houches Event File (cf. the 
LHAup::skipEvent(nSkip) method).
        •  
 

      • Introduce a new pair of user hooks that can be used to reject 
the sequence of hard-process resonance decays, without rejecting 
the production of the primary resonances.
        •  
 

      • The possibility of separate multiplicative prefactors to the 
renormalization and factorization default pT^2 scale has been 
introduced for both timelike and spacelike showers.
        •  
 

      • Bug fixes in history information for R-hadron production, which also 
fixes HepMC conversion in this case.
        •  
 

      • Bug corrected in SigmaSusy.cc, for chargino+neutralino 
production. Indexing error for incoming quark states in the process 
Sigma2qqbar2charchi0, resulted in incorrect CKM factors.
        •  
 

      • Corrected a bug in SusyLesHouches.cc, for NMSSM spectra. 
The unitarity check on the neutralino mixing matrix was faulty, leading 
to erroneous messages about unitarity violations and SUSY being switched 
off.
        •  
 

      • Bug fixes in the handling of resolved and unresolved diffractive events. 
Thanks to Robert Ciesielski for debug.
        •  
 

      • Do not set up FSR dipoles for 2 → 1 processes.
        •  
 

      • Check that some channel open for resonance decays. Also further 
check whether resonance decay treatment should be invoked.
        •  
 

      • Bug fix in reading of particle names from SLHA input.
        •  
 

      • Change mass, width and decay mode(s) of D*_s(10431). Thanks to 
Michal Petran.
        •  
 

      • Bug fix in leptoquark production (lepton sign in 
q g → LQ l).
        •  
 

      • New argument added to SpaceShower::reassignBeamPtrs 
for diffractive event processing, as already available for 
TimeShower.
        •  
 

      • Do not write warnings in SpaceShower for weights 
above unity if the evolution scale is below 1 GeV^2.
        •  
 

      • Add default values for member variables in some constructors, 
and some related changes for AlphaStrong code.
        •  
 

      • Warn if negative-energy parton in hadronization.
        •  
 

      • The MPI pT values assumed in the beam remnant setting 
of primordial kT and colour reconnection probability were 
incorrect for diffractive events.
        •  
 

      • The arrays with MPI information were not reset when parton or 
hadron level fails and a new try is made. Only affected few events.
        •  
 

      • MPI statistics can not yet be accumulated for diffractive events, 
and therefore the relevant routine is no longer called.
        •  
 

      • Bug fix in the double parton scattering suppression from 
energy-momentum conservation.
        •  
 

      • Outgoing proton masses were not set in the event record for 
elastic scattering (but kinematics handling was correct).
        •  
 

      • Bug fixes in the identification and documentation of junctions, 
previously leading to some unnecessarily rejected events. Also 
other improvements leading to fewer errors.
        •  
 

      • Slightly increased values for FragmentationSystems:mJoin and 
StringFragmentation::FACSTOPMASS to reduce failure rate, without 
noticeably affecting event properties.
        •  
 

      • The Les Houches cross section error is now taken into account 
in the final Pythia error for strategies +-3.  New methods 
LHAup::xSecSum() and LHAup::xErrSum() 
provide the necessary information. 

        •  
 

      • When a tau pair comes from a massless photon, in dipole shower 
evolution, for the decay description the mother photon is reassigned 
to have the sum of the tau momenta.
        •  
 

      • Minor change in initialization sequence for user hooks, 
to allow for more flexibility.
        •  
 

      • Do not print warnings when multiparton interaction weights are 
only slightly above unity.
        •  
 

      • Do not write warnings for three known particles that are so close 
to threshold that widths are switched off to avoid trouble.
        •  
 

      • Some minor typographical changes.
        •  
 

       

      •  
 

    • 8.175: 18 February 2013 

         
 

      • Richard Corke and Stefan Ask leave as active authors, and have 
new e-mail addresses.
        •  
 

      • Jesper Roy Christiansen and Philip Ilten join as new authors.
        •  
 

      • A severe bug found and corrected in the handling of junction 
fragmentation. For some string topologies it could lead to parts of 
partonic systems mainly aligned along the beam axis to obtain an 
effective tilt, thereby giving rise to a pair of opposing jets that 
should not be there. The bug was an unfortunate side consequence 
of the improvement of junction handling introduced in version 8.170, 
and do not affect versions prior to that. To the largest extent 
possible, it is recommended to avoid this version. Potential errors 
are likely to be most relevant for processes at low pT, 
whereas processes that already have a large scale proportionately 
are less affected. Sincere apologies, and thanks to Hannes Jung for 
discovering it.
        •  
 

      • The initialization is aborted when the user tries to change 
the value of a non-existing variable in the Settings or 
ParticleData databases, and it becomes impossible to generate events. 
This may be rather brutal, as opposed to the former policy of 
ignoring such commands (except for a warning), but avoids that 
the user wastes time on a run that is likely not to give the wanted 
results. Thanks to Gavin Salam for stressing this point.
        •  
 

      •  Major updates of the merging code. CKKW-L code is made more flexible, 
and now includes additional options to facilitate merging of additional 
jets in MSSM processes. Unitarised ME+PS merging (UMEPS) is introduced 
as a new merging scheme for tree-level input. An example main program 
for UMEPS is  added. UMEPS is documented in the new section 
UMEPS Merging. 
NLO merging methods are now functional. Two NLO merging schemes are 
implemented: NL3 and unitarised NLO+PS merging (UNLOPS), 
both of which are illustrated with example main programs. NLO merging 
is documented in NLO Merging. 

        •  
 

      • The machinery for the MLM-style matching of jets has been 
expanded to cover input either from ALPGEN, as before, or from 
Madgraph (or other LHEF input), and expanded to cover either a 
matching algorithm based on the one in ALPGEN or the one in Madgraph. 
See Jet Matching for 
details.
        •  
 

      • Neutrons and antineutrons are now allowed as incoming 
beam particles. The neutron PDF is derived from the chosen proton 
PDF by simple isospin conjugation, and total/elastic/diffractive 
cross sections are assumed the same as for protons.
        •  
 

      • Update in Pythia.cc, to allow user to override 
SLHA mass values by hand, controlled by the new flag 
SLHA:allowUserOverride. This was motivated by people 
wanting to be able to read in a base SLHA spectrum and then quickly 
scan over particular mass values manually. Corresponding documentation 
update in SUSYLesHouchesAccord.xml.
        •  
 

      • Updates to the ResonanceWidths and 
SUSYResonanceWidths classes, to merge common 
initialization steps into the base class. Corresponding documentation 
update in SemiInternalResonances.xml. Also some cosmetic 
changes in SUSYResonanceWidths to improve conformity 
with CODINGSTYLE rules.
        •  
 

      • The SlowJet jet finder is updated with an option 
for an alternative R separation based on 
cosh(Delta y)-cos(Delta phi).
        •  
 

      • Statistics information on the separate subprocesses among 
the Les Houches external input is improved.
        •  
 

      • The sophisticated tau decay machinery has been expanded so that 
it can also handle production of taus in hypothetical 
lepton-number-violating processes, such as H0 → tau+ mu-. 

        •  
 

      • Branching ratios for most light hadrons, and the tau lepton, 
have been updated to agree with the 2012 Review of Particle Physics 
Ber12, by Anil Pratap Singh.
        •  
 

      • Photon radiation can now be included in leptonic two-body decays 
of hadrons by setting the new switch 
ParticleDecays:allowPhotonRadiation = on. 
The lower shower cutoff TimeShower:pTminChgL has been 
reduced so as to let the simulated photon spectrum extend to lower 
energies. 

        •  
 

      • A new switch MultipartonInteractions:bSelScale has 
been introduced, to determine the relevant mass or pT scale 
of an event for the selection of impact parameter in the MPI 
framework. In spite of a changed default behaviour (the old being 
option 3), practical consequences are small for most processes. 

        •  
 

      • The new UserHooks::retryPartonLevel() method can be 
overloaded, so that the same hard process is reused for a new try 
on the parton level, rather than being rejected completely. 
Thanks to Christian Bauer for suggestion.
        •  
 

      • A new method Event::undoDecay(int i) can be used 
to remove the daughters of a particle, and further descendents. 
Does not work for removing the daughters of a parton.
        •  
 

      • The interface to HepMC has been updated. In particular 
the support for old version has been removed, thereby allowing 
significant simplifications. The list of methods to set and get the 
behaviour of the conversion routine has also been updated. The 
set_event_scale method now stores the renormalization 
scale (rather than the pT stored previously). 
The examples main41, main42, 
main61, main62 and main84 
have been updated accordingly.
        •  
 

      • Four new methods to interrogate the default values of the 
four different kinds of settings.
        •  
 

      • The Vec4 class has been expanded with methods to 
return true rapidity or pseudorapidity, and the R distance 
in (y, phi) or (eta, phi) cylindrical coordinates. 
Thanks to Andy Buckley.
        •  
 

      • The copy and = constructors of the Pythia class 
are made private so that compilers will block use of them. 
Thanks to Andy Buckley.
        •  
 

      • New option of the Pythia constructor, to omit 
the banner printout where necessary. Also new master switch 
Print:quiet to switch off most runtime program 
messages. Thanks to Andy Buckley.
        •  
 

      • Updates in the machinery that restores all affected values 
to their defaults before setting a new tune.
        •  
 

      • A new Vect class has been introduced for the 
Settings database. 
It can be used to store a vector of double-precision real values. 

        •  
 

      • Three new groupings of existing QCD processes: 
SoftQCD:inelastic, HardQCD:hardccbar 
and HardQCD:hardbbbar. 
        •  
 

      • New possibility to set the a and b parameters 
of the Lund fragmentation function separately for heavy flavour. 
Especially the b is expected to be universal, but 
Aurelien Martens and Eli Ben-Haim have found improved fits by 
relaxing this condition, so we formalize this possibility without 
recommeding it.
        •  
 

      • Method Pythia::getPDFPtr is made public so it can 
be used also outside the Pythia class to access PDF 
sets. Internally the PDF bookkeeping is modified to allow for 
the simultaneous handling of several PDF sets. Thanks to 
Mathias Ritzmann for providing code changes.
        •  
 

      • It is now possible to read the separate scale values of all 
outgoing particles, if this info is stored as a single line in 
an LHEF, begun by a single hashtag character. This is currently 
nonstandard and may evolve.
        •  
 

      • Some improvements to the install targets code in the 
Makefile and error detection in 
examples/configure. Thanks to Mikhail Kirsanov.
        •  
 

      • The CC and FC global environment variables can be set to specify 
the C++ and Fortran 77/90 compilers, otherwise set in 
configure and examples/configure. 
Thanks to Mikhail Kirsanov.
        •  
 

      • Check of shell choice in configure removed. 
Thanks to Andy Buckley.
        •  
 

      • Minor modifications in the Makefile and text for Root examples, 
relevant if shared libraries are used.
        •  
 

      • Previously the whole std namespace has been made 
available in PythiaStdlib.h. Now this behaviour has 
been replaced by the already-existing alternative, where only a 
part of std is made available, and only inside the 
Pythia8 namespace. Thus user code does not become 
reliant on the choices in PYTHIA. Some related smaller code 
rearrangements. Thanks to Andy Buckley.
        •  
 

      • When the "second hard" machinery is used to set two hard processes, 
the old behaviour for the SpaceShower:pTmaxMatch = 0 and 
TimeShower:pTmaxMatch = 0 options was to use the combined 
final state of the two processes to decide what pT_max 
scale to use. This could have unexpected consequences. Now each process 
is analyzed separately, and therefore has a separate scale. Also 
for MultipartonInteractions:pTmaxMatch = 0 the two 
interactions now are analyzed separately. It is then enough that 
one of them should limit pT_max of subsequent MPI's for 
such a restriction to be imposed. Thanks to Monika Jindal for 
discovering this bug.
        •  
 

      • The TimeShower:pTdampMatch option had no effect if 
switched on, since some code was missing. The manual description 
of it and the more relevant SpaceShower:pTdampMatch 
has been updated.
        •  
 

      • One minor bug fix and some corrections to make the code compile 
on Windows/VisualC++-2010. A simple error function parametrization 
has been added to PhaseSpace.h and 
SigmaTotal.h, to be uncommented in case 
erf(x) is not available by default. Thanks to Guy Barrand 
for providing the information.
        •  
 

      • Break a closed dependency loop between ParticleData.h 
and ResonanceWidths.h. Thanks to Andreas Schaelicke and 
Andy Buckley.
        •  
 

      • In the examples/mainXX.cc programs, class instances 
that have been created with a new are explicitly 
deleted at the end of the run. Useful if trying to track 
memory leaks.
        •  
 

      • Bug fix for R-parity violating decays of R-hadrons, to treat the 
special case of sequential resonance decays after the RPV one. 
Thanks to Mariangela Lisanti for pointing out this bug.
        •  
 

      • Changed the maximum allowed value for Tune:pp. 
Thanks to Yevgeny Kats.
        •  
 

      • Bug fix in the z-value weight for QED ISR emissions.
        •  
 

      • Some destructors moved for improved consistency.
        •  
 

      • Constants DEBUG renamed DBSUSY in the 
SusyCouplings and SusyResonanceWidths 
classes to avoid confusion. Thanks to Guy Barrand.
        •  
 

      • Many typos corrected and some other minor improvements of the 
online documentation.
        •  
 

      • The year has been updated to 2013 in files.
        •  
 

       

      •  
 

    • 8.176: 18 April 2013 

         
 

      • Introduce weak shower, whereby W^+- and Z^0 
gauge bosons can be produced interleaved with ordinary QCD and 
QED emissions. Currently only available for final-state radiation, 
and off by default, see 
Timelike Showers. 
A new status code 56 denotes W^+- and Z^0 gauge 
bosons produced by the FSR parton showers.
        •  
 

      • The gauge bosons produced by showers decay at the end of the 
parton-level step. New identity codes 93 for a Zcopy 
and 94 for a Wcopy can be used to set the decay modes 
of shower-produced gauge bosons separately from hard-process ones, 
but do not appear in event listings.
        •  
 

      • The Particle class has been updated with a pointer 
to the mother Event class, replacing the previous pointer 
to the ParticleData class. Thereby several old methods 
in the Event class can obtain new equivalents for the 
Particle one. That is, a call event.method(i) 
instead can be written event[i].method(). The duplicated 
methods are statusHepMC, iTopCopy, 
iBotCopy, iTopCopyId, iBotCopyId, 
motherList, daughterList, sisterList, 
isAncestor and undoDecay. Omitted is 
sisterListTopBot, while sisterList obtains an 
optional argument. A new method index is introduced. 
The now redundant Event class methods will be removed in 
PYTHIA version 8.2. Thanks to Andy Buckley for suggestion. 

        •  
 

      • The initialization of SUSY couplings and particle data has been 
moved from the Pythia and ProcessLevel classes 
to a new dedicated SLHAinterface class.
        •  
 

      • Some SUSY 3-body decays have been implemented with Matrix Element 
weighting.
        •  
 

      • New method Info::scalup() returns the Les Houches 
SCALUP variable. This method is now used instead of 
QFac() in main31.cc, to set maximal scale for 
shower radiation in case that the event contains no POWHEG emission, and 
thereby sidesteps a potential bug when PDF information is provided in the 
Les Houches Event File. Also some default values have been changed in 
main31.cmnd. Thanks to James Monk.
        •  
 

      • New parameter LesHouches:mRecalculate can be used to 
prompt the recalculation of a particle mass from its four-momentum. 
This may be required for Les Houches input events where the nominal 
mass of the particle species is stored in the mass slot, rather than 
the actual mass of the current particle, as foreseen.
        •  
 

      • Extra checks that tracing of junctions in particular and partonic 
colour singlets in general are only performed when the event record 
contains coloured unhadronized partons. Thanks to James Catmore.
        •  
 

      • Minor correction related to GZIP support. Thanks to James Monk.
        •  
 

      • Recalculate the phase space of diffractive processes for each event 
when variable beam energies are allowed. Thanks to Oldrich Kepka for 
finding the bug.
        •  
 

      • Fix a bug whereby a gluon in diffractive systems would obtain a 
light-quark mass.
        •  
 

      • The Pythia::check() method can also check that each 
particle obeys E^2 - p^2 = m^2 (within numerical precision). 
Speed up the checks on mother-daughter history by streamlining the 
handling of simple cases.
        •  
 

       

      •  
 

    • 8.180: 20 September 2013 

         
 

      • Nishita Desai joins as new author.
        •  
 

      • All the header files include/*.h have been moved to 
include/Pythia8/*.h to better comply with conventions 
in other libraries (* = generic name). Thus also all 
code lines #include "*.h" that refer to PYTHIA files 
have been changed to #include "Pythia8/*.h". Thanks to 
Andy Buckley for suggestion.
        •  
 

      • The class that converts PYTHIA events to the HepMC format 
is renamed from I_Pythia8 to Pythia8ToHepMC, 
the files where the class resides from HepMCInterface.h/.cc 
to Pythia8ToHepMC.h/.cc, and the subdirectory of the 
.cc file from hepmcinterface to 
pythia8tohepmc. This clarifies the role of the class 
and avoids potential future name clashes with other interfaces. 
Makefiles and example main runs have been modified accordingly. 
Thanks to Andy Buckley.
        •  
 

      • The configure/Makefile step has been extended such that a 
bin/pythia8-config script is constructed, to simplify 
subsequent linking of PYTHIA 8 and other libraries to your main 
program. See the README file for further instructions, 
the new "Compling programs against PYTHIA 8" section. 
Thanks to Andy Buckley for code and text.
        •  
 

      • The "minbias" event class has been renamed into the 
(inelastic) "nondiffractive" one, since the "minbias" denomination 
should be reserved for an experimental procedure. Needless to say, 
also the separation into diffraction or not could be made by 
experimental procedures, but here it is more generally accepted that 
there is an underlying theoretical description that takes precedence 
in cases of conflict. Thus the SoftQCD:minBias flag 
has been remaned SoftQCD:nonDiffractive, and the 
Info::isMinBias() method has been renamed 
Info::isNonDiffractive(). The old names have been retained 
as alternatives for now. Thanks to Andy Buckley.
        •  
 

      • Four PDF sets have been added from the NNPDF2.3 QCD+QED family: 
the central sets for LO with alpha_s(M_Z) = 0.130, 
LO with alpha_s(M_Z) = 0.119, NLO with alpha_s(M_Z) = 0.119, 
and NNLO with alpha_s(M_Z) = 0.119. 
Thanks to Juan Rojo and Stefano Carrazza for providing the code.
        •  
 

      • The fjcore version 3.0.5 code from FastJet 
has been included with the PYTHIA distribution. SlowJet now 
by default becomes a front end to fjcore, but the old 
behaviour is retained as an option. The new approach is faster, 
but the older one still offers a few extra possibilities. Note that 
the new useFJcore argument to the SlowJet 
constructor has been included as a new last-but-one argument, 
since the last one is likely to be used much more infrequently 
and logically depends on the value set for useFJcore. 
Thanks to Matteo Cacciari, Gavin Salam and Gregory Soyez for making 
the fjcore code freely distributable.
        •  
 

      • New method constituents(i) in FastJet 
returns a vector with the indices of the particles belonging to the 
i'th jet.
        •  
 

      • The global recoil option for final-state showers has been extended 
with a few more options to improve possibility for matching to 
output from other programs, such as aMC@NLO.
        •  
 

      • Further extensions of the weak-showering machinery, but still 
experimental. Now also includes W/Z emission in the initial 
state.
        •  
 

      • Introduce new qqbar option for 
SigmaProcess::inFlux() and update documentation.
        •  
 

      • Improve the description of meMode for resonances 
and illustrate how to force specific Higgs branching ratios in 
main16.cmnd.
        •  
 

      • Added two previously missing SUSY processes for associated 
production of a gluino with a neutralino or chargino: 
SUSY:qqbar2chi0gluino and 
SUSY:qqbar2chi+-gluino, using the cross section 
expressions in Fuk11. Validated against PYTHIA 6 and 
XSUSY.
        •  
 

      • Added direct slepton production from q qbar annihilation, 
SUSY:qqbar2sleptonantislepton. Validated against 
PYTHIA 6.
        •  
 

      • Corrected some slepton and squark EW couplings in 
SusyCouplings.
        •  
 

      • Generalized the cross section formulae for 
SUSY:qg2squarkgluino to the case of non-minimal flavor 
violation, using the expressions in Fuk11. Validated 
against PYTHIA 6 and XSUSY. The new implementation is compatible 
with both SLHA2 and SLHA1, whereas the older was only compatible 
with SLHA1.
        •  
 

      • Generalized the cross section formulae for 
SUSY:qqbar2gluinogluino to the case of non-minimal 
flavour violation, using the expressions in Fuk11. 
(Also corrected a factor 2 in that paper on the color factor for 
st and su interference terms.) The new 
implementation is compatible with both SLHA2 and SLHA1, whereas 
the older was only compatible with SLHA1.
        •  
 

      • Changed the default meMode for SLHA DECAY modes to 100, 
to allow off-shell decays. Enabled the user to choose a different 
meMode if desired, via a new mode, SLHA:meMode. 
If values different from 100 are selected (e.g., 103), modes that are 
extremely far off shell (defined as needing a fluctuation of more than 
100 times the root-sum-square of the widths of the mother and daughter 
particles) will still default back to 100, though the user may of course 
still switch them off if so desired. Added documentation about this in 
SusyLesHouchesAccord.xml. Deleted the parameter 
SLHA:minDecayDeltaM, which would prevent the possibility 
of off-shell decays unless set to a large negative value.
        •  
 

      • Added calculation of decay lengths to SLHA DECAY modes.
        •  
 

      • Updated documentation of SUSY processes and SLHA-related 
parameters. Additional reference to the new cross sections included in 
the bibliography.
        •  
 

      • Allow six-flavour running of alpha_s above the top threshold, 
and implement option with CMW rescaling of the Lambda values, for use 
in coherent showers.
        •  
 

      • The merging code has been updated, with corrected handling of massive 
partons. This amends problems in tt̄, and makes clusterings of 
massive emissions W, Z, ~g possible. The bookkeeping for the hard 
process has been upgraded to accommodate more general BSM processes. The 
treatment of incomplete histories has been upgraded, so that histories which 
allow for at least one clustering will be used in the unitarisation. Also, 
states that do not allow for any clustering will not be subject to the 
(internal, optional) cut on the input events any longer, to guarantee full 
phase space coverage. This is important for processes for which a 
non-negligible fraction of states lead to incomplete histories, e.g. 
tt̄W production. Further, functionality for reclustering 
FSR off SUSY particles has been added. A new setting allows more easily 
to switch between 4-flavour and 5-flavour merging schemes.
        •  
 

      • The main85.cc - main88.cc have obtained 
support for zipped LHE input files, and have nicer printing of the 
inclusive cross section at the end.
        •  
 

      • Introduced new mode LesHouches:setLifetime so that 
the lifetime information in Les Houches input can be replaced by 
the standard PYTHIA selection procedure. By default this is applied to 
tau leptons, since some matrix-element generators do not set 
this lifetime. Thanks to James Monk and Thorsten Kuhl.
        •  
 

      • A new examples/main46.cc illustrates how to write a 
ProMC file with PYTHIA events. Thanks to Sergei Chekanov.
        •  
 

      • The Vect class has been renamed PVec 
and a new MVec class has been introduced along the same 
lines, see the Settings database. 
They can be used to store a vector of double-precision real or integer 
values, respectively, i.e. of parms or modes, hence the names. 
Thanks to Abram Krislock.
        •  
 

      • Two new vectors of integers SUSY:idVecA and 
SUSY:idVecB have been introduced to allow a more flexible 
selection of final states in SUSY processes, see the 
SUSY process selection page. 
The selection machinery has been expanded to cope. 
Thanks to Abram Krislock.
        •  
 

      • New switch PartonLevel:earlyResDec to give 
first simple option where resonances are allowed ro decay before 
colour reconnection and beam remnants are added.
        •  
 

      • Renamed the mass(...) methods to mSel(...) 
in the Particle, ParticleData and 
ParticleDataEntry classes, to avoid users mistaking 
Particle::mass() for Particle::m().
        •  
 

      • Fixed a missing (unused) argument in some derived classes when 
the mRecalculate parameter was introduced in Les Houches 
code in version 8.176.
        •  
 

      • Removed several unused class variables from header files, based 
on new compiler information.
        •  
 

      • Fixed a bug in Sigma2ffbar2HposHneg, where 
int(...) was used instead of abs.(...). 
Thanks to Vittorio Zecca.
        •  
 

      • Fixed missing re-initialization of Breit-Wigner mass generation 
parameters for externally set new resonance widths. 
Thanks to Vittorio Zecca.
        •  
 

      • Fixed several places where division by zero or adressing of 
arrays out-of-bounds could occur. While some were trivial, others 
revealed underlying errors, notably in the handling of some SUSY 
processes and resonances. New checks against unphysical SLHA input 
have been implemented. Also some bug fixes in the new weak-shower 
ISR component, the sphericity analysis, the event undo-decay option, 
and more. Thanks to Vittorio Zecca.
        •  
 

      • Bug fix in the tau decay description for decay chains like 
H0 → A0 A0 → 4 tau, caused by an erroneous assignment of 
the number of spin states. Thanks to Brock Tweedie.
        •  
 

      • Add setting of some TimeShower variables that might 
remain uninitialized. Thanks to Christian Pulvermacher. 

        •  
 

      • Extra check in TimeShower for incoming massive 
particles, where a recalculation of kinematics to an equivalent 
massless case could give a slightly negative effective dipole mass 
(with endpoint masses subtracted). Thanks to Paolo Torrielli. 

        •  
 

      • Updated manual on how to implement new showers, mainly detailing 
new optional method arguments. Thanks to Mathias Ritzmann. 

        •  
 

      • Corrected bug in SigmaSUSY which caused flavour violating 
slepton production (for R-parity conserving cases too).
        •  
 

      • Corrected bug in SusyCouplings where tan(beta) 
was not read from LHA file for RPV spectrum.
        •  
 

      • Modified the contact interaction term normalization of the 
f fbar → l lbar process to agree with the one used in 
PYTHIA 6. Documentation of the ContactInteractions:Lambda 
updated to reflect this. Thanks to Daniel Hayden.
        •  
 

      • Introduced copy constroctor for the Event class.
        •  
 

      • Reset the Higgs mass range when its mass is changed in 
examples/main14.cc.
        •  
 

      • Remove obsolete examples/main91.cc and associated 
Makefile code. 

        •  
 

      • Catch cases where junction topologies are sent to the ministring 
machinery, which is not set up to handle it, and therefore could 
give segmentation faults. Very rare.
        •  
 

       

      •  
 

    • 8.183: 23 January 2014 

         
 

      • A potentially severe bug has been found in version 8.180, 
in that by mistake the SpaceShower:vetoWeakJets, 
SpaceShower:dopTDampMass, TimeShower:dopTDampMass 
were given a default on value rather than off. 
Its main effect is to reduce the emission of two or more hard 
jets for processes 221 and 222, i.e. gamma^*/Z^0/W^+- 
production: implicitly it thereby also softens the pT 
spectrum of the gauge boson. Other processes should be unaffected.

        •  
 

      • The emission of W and Z weak gauge bosons in 
ISR and FSR parton showers is now fully implemented Chr14. 
Note extra optional arguments for a few TimeShower and 
SpaceShower methods.
        •  
 

      • The worksheet, intended to help beginners get going, has been
updated and expanded. Notably with new exercises on CKKW-L merging 
and Higgs production and decay. Also some new comments on platform 
requirements and how to meet them. An examples/main80 
program has been added for the merging exercise.
        •  
 
 

      • The LO PDF sets in the NNPDF2.3 QCD+QED family are now valid down to 
Q^2 = 1 GeV^2, the NLO and NNLO sets are positive definite, 
and all go down to x = 10^-9. Grid file names have been updated 
to agree with the LHAPDF ones. New main54.cc test program. 
Thanks to Juan Rojo and Stefano Carrazza for the updates.
        •  
 

      • Three new e^+e^- tunes to some 
LEP data, one by Peter Skands and two by Nadine Fischer. Also the
more comprehensive Monash 2013 tune 
Ska14, which covers both e^+e^- and 
pp/pbarp data.
        •  


      • Some moderate changes in the merging machinery, as follows.
Added the D-parameter of the kT measure as an input. Added 
flag to not remove states with incomplete histories from NLO input 
(normally, these are taken from tree-level samples instead). This is 
necessary for a correct treatment of inputs with "diagram subtraction", 
as is e.g. needed for the definition of p p → tW.
Updated the bookkeeping of the hard process in the merging again, so
that the "hard process candidates" are not switched around too often.
Updated the main files with proper header for the standard
access( string, F_OK) function.
        •  
 

      • Changed status code for partons in the hardest interaction of
the SoftQCD processes, from being in the 30'ies range
to being in the 20'ies range. Thus a nondiffractive event is always
set to have one 20'ies hard interaction. Diffractive events can have
zero, one or two hard interactions, the latter possible only for 
double diffraction. A low-mass diffractive system need not contain
any perturbative interaction, but a nonperturbatively kicked-out
quark or gluon is defined by the new 24 status code.
        •  
 

      • New flag HiggsSM:NLOWidths, on by default, enables
rescaling of the internal PYTHIA partial widths of the SM Higgs 
to the values recommended by the LHCXSWG.
        •  
 

      • New possibility to pick a fixed factorization scale for ISR 
(and also for FSR) for debug purposes.
        •  
 

      • New processes for s-channel exchange of a gamma^*/Z^0 
or W^+-, written as 2 → 2 processes, whereas the 
already existing processes separate production and decay of a resonance. 

        •  
 

      • New parameter StringZ:aExtraSQuark allows an optional 
softening in hadronization for strange quarks.
        •  
 

      • New method vector<int> Info::codesHard() returns a 
vector of the hard-process codes set up for current run.
        •  
 

      • New optional extra argument for the Hist::table methods 
allow output of underflow and overflow. Thanks to Mathias Ritzmann.
        •  
 

      • Two extra safety checks for the Event class. 
Thanks to Mathias Ritzmann.
        •  
 

      • Allow a leptoquark also to couple to the top quark. Thanks to 
Katherine Leney.
        •  


      • Updated problematic return statement in JetMatching.h.
Thanks to Simon de Visscher.
        •  
 

      • New addresses for Nishita Desai and Philip Ilten.
        •  
 

      • Changes in TimeShower, (Susy)ResonanceWidths, 
SigmaProcess and other classes to avoid undefined variables. 
Thanks to Vittorio Zecca.
        •  


      • Major cleanup of code and documentation files: replace tabs, remove 
blank characters at the end of code lines, keep one blank character at the
end of documentation lines, restrict to a maximum of 79 characters per line
wherever feasible, and update year to 2014.
        • 
 

       

      •  
 

    • 8.185: 15 March 2014 

         


      • Bug found in the handling of ISR in diffractive systems,  whereby the 
maximal scale of shower emissions was set to  the mass of the diffractive 
system, rather than the pT of the hardest interaction. This bug 
was introduced in version 8.183, when the status code of the hardest MPI 
was changed, and notably gave too many high-pT particles, and 
also a bit too high multiplicity. In versions up to and including 8.180, 
instead the pT of the second MPI was not strictly limited by the 
pT of the first, which also gave an overestimate, but smaller.
        •  
 

      • Added the FxFx matching and shower-kT matching schemes as new options,
see Jet Matching. Still under validation,
though. Part of the new code is contributed by Simon de Visscher.
        • 


      • A number of minor improvements of the merging machineries for 
increased flexibility, including removed hardcoded maximum number of jets, 
updated bookkeeping to allow for a event-by-event definition of the 
hard process for merging, removed incomplete histories warning, small 
change in mass treatment for reclustering, and more. Also removed internal 
setting of K factors for main88.cc.
        •  


      • New documentation on the 
POWHEG Merging implemented in 
examples/main31.cc.
        •  


      • Higgs particle names (re)simplified to MSSM standard. New 
SLHAInterface code added to reset the names appropriately 
(SLHA2 conventions) when in the NMSSM, CPV or RPV scenarios. PDG codes 
45 and 46 reserved as placeholders for further Higgs states.
        • 
 

      • SUSY decay channels now have meMode = 0, except those to 
Gravitinos, for which no code has been implemented (they stay 103). 
By default, the width of SUSY particles is formally set to 1.0,  but all 
decay channels start out with zero branching fractions. The proper BRs 
should then be calculated by PYTHIA, and/or read in via SLHA decay tables,
and/or set by hand by the user.
        •  


      • Expanded SLHA input support for NMSSM type models, plus a few 
further minor SUSY improvements and fixes.
        •  


      • Significant extensions to the 
charmonium and bottomonium 
machineries, as follows.

        Many more colour-octet states, according to a new labelling 
convention 9 9 n_Q n_state n_r n_L n_J, where n_Q is 
the flavour of the state (4 or 5),  n_state is 0 for 3S1, 
1  for 1S0 and 2  for 3PJ states, while n_r, n_L 
and n_J are the same as in the PDG convention. They are
assigned masses 10 MeV above the respective colour singlet state.

        Data on processes which only differ by the radial excitation 
number n_r are grouped into vectors for on/off switches 
and long-dinstance matrix elements, but share the same process code
and short-distance matrix elements. This grouping involves some upgrades 
to the cross section bookkeeping machinery.

        Matrix elements for 3DJ processes are now implemented.

        The mass splitting between all colour octet and singlet state pairs 
can be set by one common parameter.

        •  


      • Introduce new switch TimeShower:weightGluonToQuark that 
allows a few alternative approaches to set the g → q qbar 
branching rate, notably for heavy quarks, and similarly for 
gamma → f fbar. Associated scale-setting freedom regulated
by new TimeShower:scaleGluonToQuark parameter.

        •  


      • New/improved capabilities to accept LesHouches input of events
without any incoming beams, e.g. for resonances with decay chains, 
where PYTHIA should add showers and hadronization, see
Les Houches Accord and 
Hadron-Level Standalone.
The Standalone:allowResDec switch is removed and its 
functionality largely taken over by the 
ProcessLevel:resonanceDecays one.
        •  


      • New possibility to comment out a section of lines in a command file,
when read in by Pythia::readFile(...). The first line of 
the commented section should begin by /* and the last
begin by */. Best is to keep them on separate lines,
optionally followed by comments, but no commands.
        •  
 

      • A new FVec class has been introduced to store a vector 
of flags, see the Settings database.

        •  


      • Minor update in configure to be used by
pythia8-config. Thanks to Andy Buckley.
        •  


      • Minor update in the configure options for FastJet.
        •  


      • Minor update of the Monash 2013 tune.
        •  


      • In the joining of nearby partons, q + g → q , 
in preparation of the hadronization step, it is ensured that the quark 
mother is listed as mother1(), even when this is not the
order of the mothers in the event record.
        •  


      • The histogram table printing routines have acquired a new argument
that allows the x value at the beginning of each bin to be
printed, instead of the midpoint one.
        •  
 

      • Implement (some of the) functionality of the doForceWidth 
switch for resonances, that has been missing so far, and improve the
documentation thereof. Thanks to Xiaohu Sun.
        •  


      • Update some of the hadron-level code to handle several
junction-antijunction topologies in a single event.
        •  


      • Bug fix for MPI's with an x-dependent impact parameter profile
(bProfile = 4) and the factorization scale of a hard process as 
the maximal scale (pTmaxMatch = 1), that this maximum was not
respected, so that an MPI could be harder than the hard process.  
Thanks to Stefano Camarda.
        •  


      • A few minor bug fixes in the new weak-shower machinery.
        •  


      • Minor fix in the setting of the pointer of a particle data entry to 
the full particle data table.
        •  


      • Some other minor fixes.
        •  
 

       

      •  
 

    • 8.186: 8 July 2014 

         


      • A new user hook to help experimentation with colour reconnection,
in particular in relation to resonance decays.
        •  


      • New set of parameters StringFlav:probQQ1toQQ0join,
used to pick diquark spin when two already produced quarks are to be
joined into a diquark.
        •  


      • Possibility to map the bookkeeping of exotic unresolved incoming 
beams in Les Houches event files onto neutrino beams, see
LesHouches:idRenameBeams. Primarily intended for dark matter 
annihilation. Thanks to Leila Ali Cavasonza and Jiang-Hao Yu.

        •  


      • A correction to the graviton (G^*) + parton hard processes 
(5003-5005) to account for off-shell G^* production. 
The previous formula assumed the graviton was on-shell and could 
greatly overestimate the low-mass tail of the G^*.
        •  


      • Bug fixes in examples/JetMatching.h, for uninitialized
boolean, and number of partons to match for heavy flavour handling. 
The former bug was introduced with the new matching schemes in version
8.185 and affected matching to ALPGEN, since no events were rejected.
Thanks to Chris Brust.
        •  


      • Differentiate the reading of ALPGEN masses, so that vanishing 
c or b masses in ALPGEN are not unwittingly used
where inappropriate. Also protect the c and b masses 
from being set too low in TimeShower and 
SpaceShower, so that flavour thresholds are not messed up.
        •  


      • Reduce number of maximum violation warnings in SpaceShower 
by leaving some headroom for branching weights.
        •  


      • Bug fix that hasVetoed in Pythia.cc was not
reset correctly in some specific cases. Thanks to Christian Bauer and
Calvin Berggren.
        •  


      • Bug fix in PartonLevel.cc where a reference could become invalid.
Thanks to Thomas Rössler.
        •  


      • Improvements and bug fixes in junction handling.
        •  


      • Bug fix to not reuse colour indices in double diffraction.
        •  


      • Bug fix in the calculation of the average mass threshold of 
open decay channels of a resonance. Reduced 
ResonanceWidths::MASSMIN parameter value.
        •  


      • Correct typo in left-right symmetry documentation. Thanks to 
Nady Bakhet.
        •  


      • Some other minor fixes. Thanks to Pere Mato for two of them.
        •  


       

      •  

     
 
     
 
 
pythia8-8.1.86.orig/xmldoc/mstw2008nlo.00.dat0000444000175000017500000120437112357055023016562 0ustar  sunsun # Mon Nov 10 16:35:59 2008
 # MSTW 2008 NLO PDF grid for central fit.
 # distance(t),tolerance(T) =   0.  0.
 # mCharm = 1.40
 # mBottom = 4.75
 # alphaS(1GeV) = 0.49128
 # alphaS(MZ) = 0.12018
 # alphaSorder,alphaSnfmax = 1, 5
 # nExtraFlavours = 0

          xg          xd          xu          xs          xc          xb         xdv         xuv         xsv
 -1.0407E+01  1.3098E+00  1.3144E+00  4.6749E-01  0.0000E+00  0.0000E+00  7.5402E-06  4.6422E-03 -7.3203E-04
 -1.0583E+01  1.2372E+00  1.2419E+00  4.0558E-01  0.0000E+00  0.0000E+00  1.5377E-05  4.7693E-03 -7.4388E-04
 -1.0365E+01  1.2000E+00  1.2048E+00  3.7621E-01  0.0000E+00  0.0000E+00  2.1813E-05  4.8647E-03 -7.5265E-04
 -9.3612E+00  1.1792E+00  1.1842E+00  3.6560E-01  0.0000E+00  0.0000E+00  3.1249E-05  4.9930E-03 -7.6430E-04
 -9.3612E+00  1.1792E+00  1.1842E+00  3.6560E-01  2.8558E-08  0.0000E+00  3.1249E-05  4.9930E-03 -7.6430E-04
 -7.7197E+00  1.1931E+00  1.1982E+00  3.8757E-01  2.3542E-02  0.0000E+00  3.9946E-05  5.0995E-03 -7.7380E-04
 -5.3103E+00  1.2366E+00  1.2418E+00  4.3852E-01  7.5766E-02  0.0000E+00  4.8765E-05  5.2007E-03 -7.8272E-04
 -2.4558E+00  1.3005E+00  1.3057E+00  5.0864E-01  1.4695E-01  0.0000E+00  5.6714E-05  5.2871E-03 -7.9024E-04
  1.0612E+00  1.3871E+00  1.3924E+00  6.0097E-01  2.4029E-01  0.0000E+00  6.4629E-05  5.3692E-03 -7.9733E-04
  5.7387E+00  1.5085E+00  1.5139E+00  7.2831E-01  3.6868E-01  0.0000E+00  7.3338E-05  5.4556E-03 -8.0471E-04
  1.0670E+01  1.6404E+00  1.6458E+00  8.6520E-01  5.0646E-01  0.0000E+00  8.1156E-05  5.5301E-03 -8.1102E-04
  1.6298E+01  1.7935E+00  1.7990E+00  1.0231E+00  6.6519E-01  0.0000E+00  8.8930E-05  5.6016E-03 -8.1703E-04
  2.1389E+01  1.9334E+00  1.9390E+00  1.1666E+00  8.0939E-01  0.0000E+00  9.5240E-05  5.6580E-03 -8.2172E-04
  4.2299E+01  2.5167E+00  2.5224E+00  1.7613E+00  1.4062E+00  0.0000E+00  1.1681E-04  5.8406E-03 -8.3674E-04
  4.2299E+01  2.5167E+00  2.5224E+00  1.7613E+00  1.4062E+00  5.8334E-08  1.1681E-04  5.8406E-03 -8.3674E-04
  4.7396E+01  2.6684E+00  2.6741E+00  1.9154E+00  1.5607E+00  1.7761E-01  1.2163E-04  5.8791E-03 -8.3986E-04
  6.4361E+01  3.1703E+00  3.1761E+00  2.4240E+00  2.0706E+00  6.9290E-01  1.3620E-04  5.9919E-03 -8.4892E-04
  8.5324E+01  3.7890E+00  3.7949E+00  3.0495E+00  2.6974E+00  1.3274E+00  1.5199E-04  6.1089E-03 -8.5818E-04
  1.0751E+02  4.4429E+00  4.4490E+00  3.7094E+00  3.3585E+00  1.9953E+00  1.6687E-04  6.2146E-03 -8.6646E-04
  1.3317E+02  5.1986E+00  5.2047E+00  4.4709E+00  4.1211E+00  2.7647E+00  1.8243E-04  6.3211E-03 -8.7469E-04
  1.5709E+02  5.9031E+00  5.9093E+00  5.1802E+00  4.8314E+00  3.4805E+00  1.9575E-04  6.4093E-03 -8.8144E-04
  1.8953E+02  6.8595E+00  6.8658E+00  6.1422E+00  5.7945E+00  4.4502E+00  2.1241E-04  6.5161E-03 -8.8952E-04
  2.2146E+02  7.8022E+00  7.8086E+00  7.0898E+00  6.7430E+00  5.4045E+00  2.2760E-04  6.6104E-03 -8.9658E-04
  2.5351E+02  8.7506E+00  8.7570E+00  8.0425E+00  7.6966E+00  6.3634E+00  2.4192E-04  6.6969E-03 -9.0298E-04
  2.9824E+02  1.0078E+01  1.0085E+01  9.3753E+00  9.0306E+00  7.7038E+00  2.6061E-04  6.8065E-03 -9.1101E-04
  3.4453E+02  1.1457E+01  1.1463E+01  1.0759E+01  1.0415E+01  9.0945E+00  2.7873E-04  6.9096E-03 -9.1847E-04
  3.9178E+02  1.2870E+01  1.2877E+01  1.2177E+01  1.1834E+01  1.0519E+01  2.9619E-04  7.0062E-03 -9.2539E-04
  4.4287E+02  1.4406E+01  1.4412E+01  1.3717E+01  1.3375E+01  1.2065E+01  3.1411E-04  7.1029E-03 -9.3223E-04
  4.9669E+02  1.6031E+01  1.6038E+01  1.5347E+01  1.5006E+01  1.3701E+01  3.3211E-04  7.1976E-03 -9.3886E-04
  5.5135E+02  1.7690E+01  1.7697E+01  1.7010E+01  1.6670E+01  1.5370E+01  3.4959E-04  7.2873E-03 -9.4509E-04
  6.0601E+02  1.9358E+01  1.9365E+01  1.8681E+01  1.8342E+01  1.7047E+01  3.6643E-04  7.3720E-03 -9.5090E-04
  6.6439E+02  2.1150E+01  2.1157E+01  2.0476E+01  2.0138E+01  1.8848E+01  3.8375E-04  7.4573E-03 -9.5670E-04
  7.2500E+02  2.3019E+01  2.3026E+01  2.2350E+01  2.2012E+01  2.0726E+01  4.0115E-04  7.5414E-03 -9.6237E-04
  7.8566E+02  2.4901E+01  2.4908E+01  2.4235E+01  2.3898E+01  2.2616E+01  4.1804E-04  7.6214E-03 -9.6771E-04
  8.4587E+02  2.6780E+01  2.6787E+01  2.6116E+01  2.5780E+01  2.4503E+01  4.3434E-04  7.6974E-03 -9.7274E-04
  9.0941E+02  2.8773E+01  2.8780E+01  2.8113E+01  2.7777E+01  2.6503E+01  4.5110E-04  7.7742E-03 -9.7778E-04
  9.7494E+02  3.0840E+01  3.0847E+01  3.0183E+01  2.9848E+01  2.8578E+01  4.6796E-04  7.8501E-03 -9.8272E-04
  1.0401E+03  3.2907E+01  3.2915E+01  3.2253E+01  3.1919E+01  3.0653E+01  4.8434E-04  7.9228E-03 -9.8741E-04
  1.1043E+03  3.4957E+01  3.4964E+01  3.4305E+01  3.3971E+01  3.2709E+01  5.0016E-04  7.9920E-03 -9.9184E-04
  1.1717E+03  3.7117E+01  3.7125E+01  3.6468E+01  3.6135E+01  3.4876E+01  5.1644E-04  8.0622E-03 -9.9630E-04
  1.2407E+03  3.9342E+01  3.9350E+01  3.8696E+01  3.8363E+01  3.7108E+01  5.3281E-04  8.1318E-03 -1.0007E-03
  1.3091E+03  4.1559E+01  4.1566E+01  4.0915E+01  4.0583E+01  3.9330E+01  5.4873E-04  8.1986E-03 -1.0049E-03
  1.3762E+03  4.3746E+01  4.3754E+01  4.3104E+01  4.2773E+01  4.1523E+01  5.6411E-04  8.2624E-03 -1.0088E-03
  1.4461E+03  4.6039E+01  4.6046E+01  4.5399E+01  4.5068E+01  4.3822E+01  5.7993E-04  8.3272E-03 -1.0128E-03
  1.5178E+03  4.8401E+01  4.8409E+01  4.7764E+01  4.7433E+01  4.6190E+01  5.9588E-04  8.3918E-03 -1.0168E-03
  1.5883E+03  5.0734E+01  5.0741E+01  5.0098E+01  4.9769E+01  4.8528E+01  6.1137E-04  8.4538E-03 -1.0205E-03
  1.6575E+03  5.3037E+01  5.3045E+01  5.2404E+01  5.2074E+01  5.0837E+01  6.2637E-04  8.5131E-03 -1.0241E-03
  1.7294E+03  5.5441E+01  5.5449E+01  5.4810E+01  5.4481E+01  5.3246E+01  6.4179E-04  8.5736E-03 -1.0278E-03
 -8.1799E+00  1.1275E+00  1.1331E+00  4.0229E-01  0.0000E+00  0.0000E+00  2.3795E-05  5.6946E-03 -8.4100E-04
 -8.1447E+00  1.0768E+00  1.0826E+00  3.6093E-01  0.0000E+00  0.0000E+00  3.9457E-05  5.8549E-03 -8.5451E-04
 -7.7737E+00  1.0550E+00  1.0609E+00  3.4584E-01  0.0000E+00  0.0000E+00  5.2168E-05  5.9753E-03 -8.6448E-04
 -6.6092E+00  1.0523E+00  1.0583E+00  3.5188E-01  0.0000E+00  0.0000E+00  7.0604E-05  6.1376E-03 -8.7771E-04
 -6.6092E+00  1.0523E+00  1.0583E+00  3.5188E-01  6.0510E-08  0.0000E+00  7.0604E-05  6.1376E-03 -8.7771E-04
 -4.9326E+00  1.0778E+00  1.0840E+00  3.8442E-01  3.4936E-02  0.0000E+00  8.7352E-05  6.2725E-03 -8.8847E-04
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  6.0950E+00  5.0772E-01  5.4472E-01  2.8671E-01  1.8011E-01  1.0504E-02  1.1188E-01  1.5461E-01 -1.1226E-04
  6.5103E+00  5.3250E-01  5.7104E-01  3.0943E-01  2.0384E-01  3.7228E-02  1.1451E-01  1.5918E-01  4.1419E-05
  6.9167E+00  5.5780E-01  5.9794E-01  3.3267E-01  2.2810E-01  6.4638E-02  1.1715E-01  1.6384E-01  1.9689E-04
  7.2626E+00  5.8028E-01  6.2188E-01  3.5336E-01  2.4969E-01  8.9005E-02  1.1946E-01  1.6798E-01  3.3418E-04
  7.5897E+00  6.0248E-01  6.4555E-01  3.7382E-01  2.7105E-01  1.1308E-01  1.2171E-01  1.7207E-01  4.6918E-04
  7.8447E+00  6.2051E-01  6.6481E-01  3.9046E-01  2.8843E-01  1.3264E-01  1.2352E-01  1.7541E-01  5.7858E-04
  8.1338E+00  6.4187E-01  6.8765E-01  4.1019E-01  3.0904E-01  1.5585E-01  1.2565E-01  1.7938E-01  7.0807E-04
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  8.8156E+00  6.9718E-01  7.4701E-01  4.6139E-01  3.6257E-01  2.1608E-01  1.3110E-01  1.8981E-01  1.0443E-03
  9.0219E+00  7.1576E-01  7.6703E-01  4.7862E-01  3.8061E-01  2.3639E-01  1.3292E-01  1.9338E-01  1.1580E-03
  9.1990E+00  7.3266E-01  7.8527E-01  4.9429E-01  3.9703E-01  2.5489E-01  1.3457E-01  1.9667E-01  1.2620E-03
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  9.6301E+00  7.7888E-01  8.3536E-01  5.3723E-01  4.4208E-01  3.0571E-01  1.3910E-01  2.0589E-01  1.5504E-03
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  9.8343E+00  8.0468E-01  8.6347E-01  5.6123E-01  4.6732E-01  3.3426E-01  1.4164E-01  2.1121E-01  1.7148E-03
  9.9208E+00  8.1684E-01  8.7676E-01  5.7254E-01  4.7924E-01  3.4777E-01  1.4284E-01  2.1378E-01  1.7934E-03
  9.9948E+00  8.2806E-01  8.8905E-01  5.8299E-01  4.9026E-01  3.6027E-01  1.4396E-01  2.1618E-01  1.8666E-03
  1.0058E+01  8.3837E-01  9.0037E-01  5.9259E-01  5.0039E-01  3.7179E-01  1.4499E-01  2.1843E-01  1.9346E-03
  1.0114E+01  8.4847E-01  9.1148E-01  6.0199E-01  5.1034E-01  3.8310E-01  1.4601E-01  2.2066E-01  2.0020E-03
  1.0164E+01  8.5814E-01  9.2216E-01  6.1101E-01  5.1988E-01  3.9398E-01  1.4699E-01  2.2283E-01  2.0672E-03
  1.0205E+01  8.6710E-01  9.3207E-01  6.1936E-01  5.2873E-01  4.0409E-01  1.4791E-01  2.2488E-01  2.1283E-03
  1.0239E+01  8.7537E-01  9.4123E-01  6.2707E-01  5.3690E-01  4.1344E-01  1.4876E-01  2.2679E-01  2.1854E-03
  1.0269E+01  8.8350E-01  9.5026E-01  6.3465E-01  5.4496E-01  4.2267E-01  1.4960E-01  2.2871E-01  2.2421E-03
  1.0295E+01  8.9131E-01  9.5897E-01  6.4194E-01  5.5271E-01  4.3158E-01  1.5041E-01  2.3058E-01  2.2973E-03
  1.0315E+01  8.9857E-01  9.6707E-01  6.4871E-01  5.5993E-01  4.3988E-01  1.5118E-01  2.3235E-01  2.3493E-03
  1.0330E+01  9.0528E-01  9.7459E-01  6.5498E-01  5.6661E-01  4.4758E-01  1.5189E-01  2.3401E-01  2.3979E-03
  1.0342E+01  9.1191E-01  9.8203E-01  6.6116E-01  5.7322E-01  4.5521E-01  1.5260E-01  2.3568E-01  2.4465E-03
  1.0351E+01  9.1828E-01  9.8920E-01  6.6711E-01  5.7959E-01  4.6259E-01  1.5328E-01  2.3731E-01  2.4940E-03
  1.0356E+01  9.2423E-01  9.9592E-01  6.7267E-01  5.8554E-01  4.6949E-01  1.5393E-01  2.3886E-01  2.5388E-03
  1.0359E+01  9.2973E-01  1.0021E+00  6.7781E-01  5.9106E-01  4.7591E-01  1.5454E-01  2.4032E-01  2.5808E-03
  1.0359E+01  9.3517E-01  1.0083E+00  6.8290E-01  5.9653E-01  4.8228E-01  1.5514E-01  2.4179E-01  2.6230E-03
  3.2036E-01  2.6333E-01  2.8430E-01  6.0513E-02  0.0000E+00  0.0000E+00  9.0023E-02  1.1248E-01 -1.5585E-03
  9.1617E-01  2.8426E-01  3.0696E-01  7.7801E-02  0.0000E+00  0.0000E+00  9.4404E-02  1.1921E-01 -1.3118E-03
  1.3733E+00  3.0082E-01  3.2488E-01  9.1725E-02  0.0000E+00  0.0000E+00  9.7579E-02  1.2419E-01 -1.1305E-03
  1.9920E+00  3.2413E-01  3.5007E-01  1.1161E-01  0.0000E+00  0.0000E+00  1.0171E-01  1.3080E-01 -8.9171E-04
  1.9920E+00  3.2413E-01  3.5007E-01  1.1161E-01  4.7573E-08  0.0000E+00  1.0171E-01  1.3080E-01 -8.9171E-04
  2.4700E+00  3.4427E-01  3.7180E-01  1.2903E-01  1.9321E-02  0.0000E+00  1.0499E-01  1.3618E-01 -6.9972E-04
  2.9203E+00  3.6375E-01  3.9284E-01  1.4603E-01  3.7338E-02  0.0000E+00  1.0801E-01  1.4121E-01 -5.2110E-04
  3.2983E+00  3.8058E-01  4.1102E-01  1.6079E-01  5.2963E-02  0.0000E+00  1.1051E-01  1.4545E-01 -3.7173E-04
  3.6508E+00  3.9669E-01  4.2842E-01  1.7500E-01  6.7976E-02  0.0000E+00  1.1283E-01  1.4944E-01 -2.3238E-04
  4.0134E+00  4.1372E-01  4.4683E-01  1.9008E-01  8.3899E-02  0.0000E+00  1.1520E-01  1.5357E-01 -8.8472E-05
  4.3184E+00  4.2843E-01  4.6275E-01  2.0316E-01  9.7699E-02  0.0000E+00  1.1719E-01  1.5710E-01  3.3410E-05
  4.6032E+00  4.4254E-01  4.7802E-01  2.1575E-01  1.1096E-01  0.0000E+00  1.1906E-01  1.6044E-01  1.4830E-04
  4.8223E+00  4.5364E-01  4.9004E-01  2.2567E-01  1.2142E-01  0.0000E+00  1.2051E-01  1.6305E-01  2.3750E-04
  5.4916E+00  4.8936E-01  5.2876E-01  2.5776E-01  1.5520E-01  0.0000E+00  1.2501E-01  1.7133E-01  5.1816E-04
  5.4916E+00  4.8936E-01  5.2876E-01  2.5776E-01  1.5520E-01  3.0891E-09  1.2501E-01  1.7133E-01  5.1816E-04
  5.6092E+00  4.9684E-01  5.3688E-01  2.6451E-01  1.6230E-01  9.2781E-03  1.2591E-01  1.7303E-01  5.7520E-04
  5.9437E+00  5.1851E-01  5.6041E-01  2.8411E-01  1.8291E-01  3.2771E-02  1.2851E-01  1.7795E-01  7.3964E-04
  6.2664E+00  5.4045E-01  5.8429E-01  3.0399E-01  2.0383E-01  5.6702E-02  1.3110E-01  1.8295E-01  9.0500E-04
  6.5374E+00  5.5979E-01  6.0539E-01  3.2156E-01  2.2232E-01  7.7840E-02  1.3336E-01  1.8738E-01  1.0502E-03
  6.7902E+00  5.7875E-01  6.2611E-01  3.3882E-01  2.4049E-01  9.8597E-02  1.3555E-01  1.9174E-01  1.1921E-03
  6.9846E+00  5.9405E-01  6.4287E-01  3.5276E-01  2.5518E-01  1.1538E-01  1.3730E-01  1.9529E-01  1.3066E-03
  7.2021E+00  6.1206E-01  6.6264E-01  3.6919E-01  2.7251E-01  1.3517E-01  1.3935E-01  1.9950E-01  1.4414E-03
  7.3784E+00  6.2749E-01  6.7962E-01  3.8329E-01  2.8739E-01  1.5217E-01  1.4110E-01  2.0314E-01  1.5572E-03
  7.5274E+00  6.4122E-01  6.9477E-01  3.9585E-01  3.0066E-01  1.6735E-01  1.4266E-01  2.0642E-01  1.6605E-03
  7.6993E+00  6.5807E-01  7.1340E-01  4.1128E-01  3.1697E-01  1.8601E-01  1.4456E-01  2.1049E-01  1.7878E-03
  7.8443E+00  6.7332E-01  7.3032E-01  4.2527E-01  3.3178E-01  2.0297E-01  1.4628E-01  2.1422E-01  1.9039E-03
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  8.0752E+00  7.0037E-01  7.6047E-01  4.5011E-01  3.5813E-01  2.3321E-01  1.4934E-01  2.2101E-01  2.1119E-03
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  8.3154E+00  7.3468E-01  7.9900E-01  4.8168E-01  3.9175E-01  2.7195E-01  1.5324E-01  2.2997E-01  2.3816E-03
  8.3734E+00  7.4473E-01  8.1037E-01  4.9095E-01  4.0165E-01  2.8340E-01  1.5440E-01  2.3269E-01  2.4624E-03
  8.4228E+00  7.5427E-01  8.2119E-01  4.9976E-01  4.1107E-01  2.9432E-01  1.5550E-01  2.3532E-01  2.5399E-03
  8.4631E+00  7.6302E-01  8.3116E-01  5.0783E-01  4.1973E-01  3.0438E-01  1.5652E-01  2.3778E-01  2.6118E-03
  8.4955E+00  7.7101E-01  8.4029E-01  5.1522E-01  4.2766E-01  3.1362E-01  1.5746E-01  2.4007E-01  2.6783E-03
  8.5227E+00  7.7880E-01  8.4922E-01  5.2242E-01  4.3540E-01  3.2266E-01  1.5838E-01  2.4234E-01  2.7439E-03
  8.5443E+00  7.8621E-01  8.5775E-01  5.2928E-01  4.4280E-01  3.3131E-01  1.5926E-01  2.4454E-01  2.8072E-03
  8.5604E+00  7.9304E-01  8.6563E-01  5.3560E-01  4.4962E-01  3.3932E-01  1.6008E-01  2.4661E-01  2.8662E-03
  8.5717E+00  7.9929E-01  8.7289E-01  5.4139E-01  4.5590E-01  3.4670E-01  1.6084E-01  2.4854E-01  2.9211E-03
  8.5795E+00  8.0541E-01  8.8001E-01  5.4706E-01  4.6205E-01  3.5396E-01  1.6159E-01  2.5047E-01  2.9754E-03
  8.5836E+00  8.1126E-01  8.8685E-01  5.5249E-01  4.6795E-01  3.6094E-01  1.6231E-01  2.5235E-01  3.0282E-03
  8.5844E+00  8.1665E-01  8.9318E-01  5.5750E-01  4.7341E-01  3.6742E-01  1.6298E-01  2.5412E-01  3.0776E-03
  8.5823E+00  8.2161E-01  8.9903E-01  5.6211E-01  4.7845E-01  3.7341E-01  1.6360E-01  2.5578E-01  3.1237E-03
  8.5776E+00  8.2648E-01  9.0479E-01  5.6663E-01  4.8341E-01  3.7932E-01  1.6422E-01  2.5745E-01  3.1695E-03
  8.5703E+00  8.3112E-01  9.1032E-01  5.7096E-01  4.8816E-01  3.8502E-01  1.6482E-01  2.5907E-01  3.2141E-03
  8.5612E+00  8.3544E-01  9.1548E-01  5.7498E-01  4.9258E-01  3.9033E-01  1.6538E-01  2.6061E-01  3.2561E-03
  8.5503E+00  8.3940E-01  9.2023E-01  5.7868E-01  4.9666E-01  3.9525E-01  1.6590E-01  2.6205E-01  3.2954E-03
  8.5376E+00  8.4330E-01  9.2493E-01  5.8231E-01  5.0069E-01  4.0013E-01  1.6642E-01  2.6351E-01  3.3346E-03
  6.5238E-01  2.8038E-01  3.0090E-01  5.8485E-02  0.0000E+00  0.0000E+00  1.1319E-01  1.3650E-01 -5.4003E-04
  1.1859E+00  3.0050E-01  3.2368E-01  7.4697E-02  0.0000E+00  0.0000E+00  1.1766E-01  1.4443E-01 -2.4849E-04
  1.5846E+00  3.1604E-01  3.4124E-01  8.7432E-02  0.0000E+00  0.0000E+00  1.2087E-01  1.5026E-01 -3.6742E-05
  2.1112E+00  3.3743E-01  3.6540E-01  1.0522E-01  0.0000E+00  0.0000E+00  1.2501E-01  1.5795E-01  2.3918E-04
  2.1112E+00  3.3743E-01  3.6540E-01  1.0522E-01  4.2412E-08  0.0000E+00  1.2501E-01  1.5795E-01  2.3918E-04
  2.5064E+00  3.5551E-01  3.8579E-01  1.2050E-01  1.7114E-02  0.0000E+00  1.2827E-01  1.6415E-01  4.5813E-04
  2.8711E+00  3.7271E-01  4.0520E-01  1.3516E-01  3.2819E-02  0.0000E+00  1.3125E-01  1.6993E-01  6.5981E-04
  3.1718E+00  3.8735E-01  4.2174E-01  1.4772E-01  4.6262E-02  0.0000E+00  1.3370E-01  1.7478E-01  8.2695E-04
  3.4478E+00  4.0120E-01  4.3740E-01  1.5966E-01  5.9033E-02  0.0000E+00  1.3595E-01  1.7930E-01  9.8164E-04
  3.7272E+00  4.1566E-01  4.5377E-01  1.7219E-01  7.2434E-02  0.0000E+00  1.3825E-01  1.8398E-01  1.1401E-03
  3.9588E+00  4.2803E-01  4.6778E-01  1.8296E-01  8.3933E-02  0.0000E+00  1.4017E-01  1.8795E-01  1.2733E-03
  4.1721E+00  4.3976E-01  4.8109E-01  1.9321E-01  9.4888E-02  0.0000E+00  1.4196E-01  1.9170E-01  1.3980E-03
  4.3342E+00  4.4892E-01  4.9149E-01  2.0124E-01  1.0346E-01  0.0000E+00  1.4333E-01  1.9462E-01  1.4942E-03
  4.8182E+00  4.7795E-01  5.2454E-01  2.2681E-01  1.3079E-01  0.0000E+00  1.4758E-01  2.0381E-01  1.7935E-03
  4.8182E+00  4.7795E-01  5.2454E-01  2.2681E-01  1.3079E-01  2.5225E-09  1.4758E-01  2.0381E-01  1.7935E-03
  4.8994E+00  4.8395E-01  5.3137E-01  2.3213E-01  1.3647E-01  7.5709E-03  1.4843E-01  2.0569E-01  1.8537E-03
  5.1274E+00  5.0116E-01  5.5104E-01  2.4742E-01  1.5281E-01  2.6600E-02  1.5084E-01  2.1110E-01  2.0259E-03
  5.3417E+00  5.1835E-01  5.7074E-01  2.6274E-01  1.6920E-01  4.5778E-02  1.5323E-01  2.1655E-01  2.1971E-03
  5.5169E+00  5.3331E-01  5.8796E-01  2.7611E-01  1.8353E-01  6.2546E-02  1.5528E-01  2.2135E-01  2.3459E-03
  5.6758E+00  5.4779E-01  6.0469E-01  2.8909E-01  1.9746E-01  7.8856E-02  1.5726E-01  2.2605E-01  2.4899E-03
  5.7947E+00  5.5934E-01  6.1809E-01  2.9946E-01  2.0861E-01  9.1929E-02  1.5884E-01  2.2986E-01  2.6050E-03
  5.9238E+00  5.7277E-01  6.3374E-01  3.1156E-01  2.2163E-01  1.0722E-01  1.6066E-01  2.3434E-01  2.7392E-03
  6.0249E+00  5.8415E-01  6.4705E-01  3.2182E-01  2.3271E-01  1.2024E-01  1.6220E-01  2.3821E-01  2.8533E-03
  6.1075E+00  5.9417E-01  6.5883E-01  3.3088E-01  2.4250E-01  1.3177E-01  1.6356E-01  2.4166E-01  2.9543E-03
  6.1987E+00  6.0631E-01  6.7316E-01  3.4187E-01  2.5442E-01  1.4584E-01  1.6520E-01  2.4592E-01  3.0775E-03
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  1.5992E+00  4.2808E-01  5.9308E-01  7.0724E-02  5.1926E-03  0.0000E+00  2.5121E-01  4.6451E-01  1.0432E-02
  1.6199E+00  4.2878E-01  5.9860E-01  7.3451E-02  9.5877E-03  0.0000E+00  2.5118E-01  4.6906E-01  1.0300E-02
  1.6317E+00  4.2907E-01  6.0274E-01  7.5572E-02  1.3099E-02  0.0000E+00  2.5104E-01  4.7253E-01  1.0184E-02
  1.6383E+00  4.2908E-01  6.0621E-01  7.7420E-02  1.6237E-02  0.0000E+00  2.5081E-01  4.7548E-01  1.0071E-02
  1.6408E+00  4.2883E-01  6.0940E-01  7.9193E-02  1.9339E-02  0.0000E+00  2.5047E-01  4.7825E-01  9.9485E-03
  1.6396E+00  4.2841E-01  6.1179E-01  8.0588E-02  2.1855E-02  0.0000E+00  2.5010E-01  4.8037E-01  9.8414E-03
  1.6358E+00  4.2784E-01  6.1377E-01  8.1809E-02  2.4130E-02  0.0000E+00  2.4968E-01  4.8218E-01  9.7372E-03
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  1.6061E+00  4.2483E-01  6.1835E-01  8.5139E-02  3.0838E-02  0.0000E+00  2.4788E-01  4.8674E-01  9.3819E-03
  1.6061E+00  4.2483E-01  6.1835E-01  8.5139E-02  3.0838E-02  5.1469E-10  2.4788E-01  4.8674E-01  9.3819E-03
  1.5961E+00  4.2421E-01  6.1881E-01  8.5583E-02  3.1801E-02  1.5390E-03  2.4753E-01  4.8725E-01  9.3243E-03
  1.5659E+00  4.2217E-01  6.1976E-01  8.6722E-02  3.4434E-02  5.2470E-03  2.4643E-01  4.8849E-01  9.1545E-03
  1.5319E+00  4.1973E-01  6.2012E-01  8.7654E-02  3.6865E-02  8.7568E-03  2.4518E-01  4.8933E-01  8.9781E-03
  1.4995E+00  4.1725E-01  6.1995E-01  8.8296E-02  3.8821E-02  1.1644E-02  2.4394E-01  4.8972E-01  8.8185E-03
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  1.3692E+00  4.0615E-01  6.1559E-01  8.9262E-02  4.4363E-02  2.0324E-02  2.3865E-01  4.8855E-01  8.2281E-03
  1.3399E+00  4.0341E-01  6.1397E-01  8.9217E-02  4.5250E-02  2.1832E-02  2.3737E-01  4.8781E-01  8.1014E-03
  1.3027E+00  3.9980E-01  6.1162E-01  8.9047E-02  4.6229E-02  2.3566E-02  2.3569E-01  4.8663E-01  7.9423E-03
  1.2678E+00  3.9628E-01  6.0912E-01  8.8785E-02  4.7014E-02  2.5033E-02  2.3406E-01  4.8532E-01  7.7945E-03
  1.2354E+00  3.9289E-01  6.0656E-01  8.8455E-02  4.7638E-02  2.6271E-02  2.3250E-01  4.8391E-01  7.6576E-03
  1.2032E+00  3.8943E-01  6.0380E-01  8.8054E-02  4.8165E-02  2.7388E-02  2.3090E-01  4.8235E-01  7.5225E-03
  1.1722E+00  3.8597E-01  6.0091E-01  8.7597E-02  4.8592E-02  2.8373E-02  2.2930E-01  4.8068E-01  7.3918E-03
  1.1431E+00  3.8263E-01  5.9803E-01  8.7109E-02  4.8920E-02  2.9210E-02  2.2776E-01  4.7897E-01  7.2696E-03
  1.1162E+00  3.7945E-01  5.9518E-01  8.6608E-02  4.9169E-02  2.9925E-02  2.2628E-01  4.7726E-01  7.1558E-03
  1.0895E+00  3.7620E-01  5.9220E-01  8.6063E-02  4.9361E-02  3.0570E-02  2.2478E-01  4.7544E-01  7.0429E-03
  1.0636E+00  3.7298E-01  5.8916E-01  8.5492E-02  4.9499E-02  3.1141E-02  2.2328E-01  4.7356E-01  6.9331E-03
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  1.0169E+00  3.6694E-01  5.8328E-01  8.4354E-02  4.9633E-02  3.2043E-02  2.2047E-01  4.6988E-01  6.7334E-03
  9.9464E-01  3.6395E-01  5.8029E-01  8.3761E-02  4.9644E-02  3.2416E-02  2.1907E-01  4.6798E-01  6.6371E-03
  9.7300E-01  3.6097E-01  5.7727E-01  8.3155E-02  4.9624E-02  3.2744E-02  2.1767E-01  4.6604E-01  6.5431E-03
  9.5272E-01  3.5812E-01  5.7432E-01  8.2559E-02  4.9576E-02  3.3020E-02  2.1633E-01  4.6414E-01  6.4545E-03
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  9.1498E-01  3.5265E-01  5.6856E-01  8.1380E-02  4.9416E-02  3.3458E-02  2.1375E-01  4.6039E-01  6.2879E-03
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  8.3168E-01  3.3973E-01  5.5440E-01  7.8442E-02  4.8734E-02  3.4076E-02  2.0760E-01  4.5100E-01  5.9114E-03
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  8.0311E-01  3.3500E-01  5.4906E-01  7.7325E-02  4.8395E-02  3.4179E-02  2.0532E-01  4.4739E-01  5.7789E-03
  7.8928E-01  3.3266E-01  5.4637E-01  7.6763E-02  4.8212E-02  3.4209E-02  2.0419E-01  4.4557E-01  5.7141E-03
  1.2217E+00  4.3071E-01  6.1043E-01  5.1699E-02  0.0000E+00  0.0000E+00  2.6509E-01  5.0390E-01  1.1717E-02
  1.2813E+00  4.3059E-01  6.1774E-01  5.4882E-02  0.0000E+00  0.0000E+00  2.6520E-01  5.1048E-01  1.1432E-02
  1.3160E+00  4.3008E-01  6.2235E-01  5.7044E-02  0.0000E+00  0.0000E+00  2.6507E-01  5.1467E-01  1.1216E-02
  1.3495E+00  4.2886E-01  6.2743E-01  5.9669E-02  0.0000E+00  0.0000E+00  2.6460E-01  5.1934E-01  1.0924E-02
  1.3495E+00  4.2886E-01  6.2743E-01  5.9669E-02  1.0329E-08  0.0000E+00  2.6460E-01  5.1934E-01  1.0924E-02
  1.3596E+00  4.2745E-01  6.3068E-01  6.1634E-02  4.0238E-03  0.0000E+00  2.6397E-01  5.2235E-01  1.0682E-02
  1.3630E+00  4.2574E-01  6.3304E-01  6.3276E-02  7.3942E-03  0.0000E+00  2.6319E-01  5.2462E-01  1.0452E-02
  1.3615E+00  4.2403E-01  6.3452E-01  6.4513E-02  1.0061E-02  0.0000E+00  2.6240E-01  5.2613E-01  1.0258E-02
  1.3567E+00  4.2220E-01  6.3549E-01  6.5555E-02  1.2425E-02  0.0000E+00  2.6155E-01  5.2722E-01  1.0073E-02
  1.3484E+00  4.2007E-01  6.3608E-01  6.6516E-02  1.4740E-02  0.0000E+00  2.6055E-01  5.2802E-01  9.8807E-03
  1.3389E+00  4.1808E-01  6.3625E-01  6.7241E-02  1.6603E-02  0.0000E+00  2.5961E-01  5.2844E-01  9.7158E-03
  1.3279E+00  4.1604E-01  6.3613E-01  6.7846E-02  1.8273E-02  0.0000E+00  2.5865E-01  5.2862E-01  9.5590E-03
  1.3182E+00  4.1435E-01  6.3586E-01  6.8266E-02  1.9514E-02  0.0000E+00  2.5785E-01  5.2861E-01  9.4364E-03
  1.2799E+00  4.0843E-01  6.3393E-01  6.9302E-02  2.3110E-02  0.0000E+00  2.5502E-01  5.2777E-01  9.0456E-03
  1.2799E+00  4.0843E-01  6.3393E-01  6.9302E-02  2.3110E-02  3.7879E-10  2.5502E-01  5.2777E-01  9.0456E-03
  1.2685E+00  4.0712E-01  6.3334E-01  6.9470E-02  2.3793E-02  1.1320E-03  2.5438E-01  5.2743E-01  8.9652E-03
  1.2346E+00  4.0311E-01  6.3125E-01  6.9841E-02  2.5640E-02  3.8418E-03  2.5244E-01  5.2617E-01  8.7320E-03
  1.1984E+00  3.9873E-01  6.2857E-01  7.0046E-02  2.7318E-02  6.3815E-03  2.5031E-01  5.2446E-01  8.4951E-03
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  1.1309E+00  3.9031E-01  6.2248E-01  7.0012E-02  2.9812E-02  1.0329E-02  2.4620E-01  5.2041E-01  8.0787E-03
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  1.0685E+00  3.8215E-01  6.1573E-01  6.9587E-02  3.1556E-02  1.3293E-02  2.4220E-01  5.1576E-01  7.7120E-03
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  9.7722E-01  3.6947E-01  6.0398E-01  6.8404E-02  3.3349E-02  1.6724E-02  2.3590E-01  5.0747E-01  7.1945E-03
  9.4579E-01  3.6487E-01  5.9941E-01  6.7857E-02  3.3790E-02  1.7699E-02  2.3360E-01  5.0420E-01  7.0191E-03
  9.1691E-01  3.6052E-01  5.9498E-01  6.7293E-02  3.4122E-02  1.8512E-02  2.3141E-01  5.0099E-01  6.8587E-03
  8.8864E-01  3.5615E-01  5.9041E-01  6.6687E-02  3.4383E-02  1.9235E-02  2.2920E-01  4.9768E-01  6.7019E-03
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  9.9185E-01  3.8652E-01  6.4354E-01  5.4008E-02  1.6729E-02  0.0000E+00  2.6031E-01  5.6135E-01  8.0423E-03
  9.9185E-01  3.8652E-01  6.4354E-01  5.4008E-02  1.6729E-02  2.6876E-10  2.6031E-01  5.6135E-01  8.0423E-03
  9.8019E-01  3.8456E-01  6.4177E-01  5.3985E-02  1.7191E-02  8.0269E-04  2.5929E-01  5.5993E-01  7.9482E-03
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  6.7890E-01  3.5236E-01  6.5300E-01  3.3373E-02  8.1746E-03  0.0000E+00  2.6851E-01  5.9932E-01  5.9332E-03
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  6.3352E-01  3.3877E-01  6.3533E-01  3.2711E-02  9.4422E-03  1.4632E-10  2.5982E-01  5.8332E-01  5.4845E-03
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  5.6204E-01  3.1940E-01  6.0895E-01  3.1530E-02  1.0775E-02  2.3889E-03  2.4714E-01  5.5947E-01  4.8974E-03
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  4.0408E-01  2.7258E-01  5.4028E-01  2.7681E-02  1.2087E-02  5.7552E-03  2.1535E-01  4.9767E-01  3.6820E-03
  3.8452E-01  2.6617E-01  5.3038E-01  2.7074E-02  1.2105E-02  6.0203E-03  2.1088E-01  4.8878E-01  3.5342E-03
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  3.0810E-01  2.3912E-01  4.8741E-01  2.4371E-02  1.1853E-02  6.7399E-03  1.9174E-01  4.5014E-01  2.9526E-03
  2.9590E-01  2.3444E-01  4.7978E-01  2.3884E-02  1.1762E-02  6.8061E-03  1.8837E-01  4.4327E-01  2.8584E-03
  2.8441E-01  2.2992E-01  4.7235E-01  2.3409E-02  1.1663E-02  6.8558E-03  1.8511E-01  4.3659E-01  2.7690E-03
  2.7392E-01  2.2569E-01  4.6537E-01  2.2962E-02  1.1561E-02  6.8901E-03  1.8206E-01  4.3030E-01  2.6870E-03
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  2.5513E-01  2.1786E-01  4.5230E-01  2.2125E-02  1.1348E-02  6.9237E-03  1.7636E-01  4.1852E-01  2.5386E-03
  2.4635E-01  2.1408E-01  4.4592E-01  2.1717E-02  1.1234E-02  6.9267E-03  1.7359E-01  4.1277E-01  2.4685E-03
  2.3828E-01  2.1052E-01  4.3990E-01  2.1332E-02  1.1121E-02  6.9219E-03  1.7098E-01  4.0734E-01  2.4037E-03
  2.3089E-01  2.0720E-01  4.3424E-01  2.0970E-02  1.1011E-02  6.9112E-03  1.6854E-01  4.0223E-01  2.3440E-03
  2.2368E-01  2.0389E-01  4.2857E-01  2.0609E-02  1.0897E-02  6.8946E-03  1.6609E-01  3.9711E-01  2.2852E-03
  2.1678E-01  2.0066E-01  4.2301E-01  2.0256E-02  1.0781E-02  6.8731E-03  1.6371E-01  3.9209E-01  2.2286E-03
  2.1041E-01  1.9762E-01  4.1775E-01  1.9922E-02  1.0668E-02  6.8479E-03  1.6145E-01  3.8734E-01  2.1759E-03
  2.0454E-01  1.9476E-01  4.1279E-01  1.9608E-02  1.0559E-02  6.8201E-03  1.5932E-01  3.8286E-01  2.1271E-03
  1.9877E-01  1.9191E-01  4.0781E-01  1.9293E-02  1.0447E-02  6.7887E-03  1.5719E-01  3.7835E-01  2.0788E-03
  1.9324E-01  1.8911E-01  4.0291E-01  1.8985E-02  1.0335E-02  6.7539E-03  1.5510E-01  3.7392E-01  2.0321E-03
  1.8809E-01  1.8647E-01  3.9826E-01  1.8693E-02  1.0226E-02  6.7182E-03  1.5312E-01  3.6971E-01  1.9884E-03
  1.8334E-01  1.8399E-01  3.9387E-01  1.8418E-02  1.0121E-02  6.6814E-03  1.5125E-01  3.6574E-01  1.9477E-03
  1.7864E-01  1.8149E-01  3.8945E-01  1.8141E-02  1.0015E-02  6.6421E-03  1.4938E-01  3.6173E-01  1.9073E-03
  7.3660E-01  4.1818E-01  7.5488E-01  2.6975E-02  0.0000E+00  0.0000E+00  3.2329E-01  7.0366E-01  7.8270E-03
  7.3200E-01  4.0657E-01  7.4234E-01  2.7227E-02  0.0000E+00  0.0000E+00  3.1627E-01  6.9172E-01  7.3280E-03
  7.2386E-01  3.9787E-01  7.3246E-01  2.7325E-02  0.0000E+00  0.0000E+00  3.1087E-01  6.8236E-01  6.9767E-03
  7.0739E-01  3.8621E-01  7.1862E-01  2.7352E-02  0.0000E+00  0.0000E+00  3.0346E-01  6.6930E-01  6.5326E-03
  7.0739E-01  3.8621E-01  7.1862E-01  2.7352E-02  3.7797E-09  0.0000E+00  3.0346E-01  6.6930E-01  6.5326E-03
  6.8707E-01  3.7669E-01  7.0681E-01  2.7310E-02  1.4491E-03  0.0000E+00  2.9725E-01  6.5818E-01  6.1913E-03
  6.6599E-01  3.6772E-01  6.9532E-01  2.7194E-02  2.6105E-03  0.0000E+00  2.9130E-01  6.4740E-01  5.8851E-03
  6.4694E-01  3.6012E-01  6.8536E-01  2.7045E-02  3.4934E-03  0.0000E+00  2.8621E-01  6.3808E-01  5.6371E-03
  6.2816E-01  3.5297E-01  6.7578E-01  2.6863E-02  4.2473E-03  0.0000E+00  2.8136E-01  6.2914E-01  5.4122E-03
  6.0792E-01  3.4552E-01  6.6561E-01  2.6635E-02  4.9574E-03  0.0000E+00  2.7626E-01  6.1967E-01  5.1863E-03
  5.9021E-01  3.3917E-01  6.5678E-01  2.6411E-02  5.5071E-03  0.0000E+00  2.7187E-01  6.1147E-01  4.9999E-03
  5.7311E-01  3.3313E-01  6.4827E-01  2.6174E-02  5.9817E-03  0.0000E+00  2.6767E-01  6.0358E-01  4.8283E-03
  5.5962E-01  3.2843E-01  6.4155E-01  2.5974E-02  6.3228E-03  0.0000E+00  2.6438E-01  5.9735E-01  4.6977E-03
  5.1603E-01  3.1349E-01  6.1977E-01  2.5257E-02  7.2474E-03  0.0000E+00  2.5381E-01  5.7720E-01  4.3014E-03
  5.1603E-01  3.1349E-01  6.1977E-01  2.5257E-02  7.2474E-03  1.1042E-10  2.5381E-01  5.7720E-01  4.3014E-03
  5.0621E-01  3.1043E-01  6.1522E-01  2.5099E-02  7.4112E-03  3.2924E-04  2.5162E-01  5.7299E-01  4.2237E-03
  4.7824E-01  3.0156E-01  6.0189E-01  2.4612E-02  7.8324E-03  1.0963E-03  2.4525E-01  5.6069E-01  4.0041E-03
  4.5043E-01  2.9259E-01  5.8816E-01  2.4077E-02  8.1812E-03  1.7855E-03  2.3874E-01  5.4803E-01  3.7905E-03
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  4.0325E-01  2.7686E-01  5.6358E-01  2.3051E-02  8.6213E-03  2.7912E-03  2.2723E-01  5.2542E-01  3.4357E-03
  3.8493E-01  2.7054E-01  5.5353E-01  2.2610E-02  8.7423E-03  3.1290E-03  2.2256E-01  5.1617E-01  3.2998E-03
  3.6378E-01  2.6307E-01  5.4150E-01  2.2070E-02  8.8469E-03  3.4828E-03  2.1702E-01  5.0512E-01  3.1437E-03
  3.4601E-01  2.5663E-01  5.3101E-01  2.1589E-02  8.9062E-03  3.7511E-03  2.1221E-01  4.9549E-01  3.0130E-03
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  2.5355E-01  2.1988E-01  4.6914E-01  1.8625E-02  8.7657E-03  4.7068E-03  1.8432E-01  4.3870E-01  2.3300E-03
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  2.3151E-01  2.1004E-01  4.5199E-01  1.7782E-02  8.6097E-03  4.8190E-03  1.7673E-01  4.2295E-01  2.1640E-03
  2.2154E-01  2.0541E-01  4.4383E-01  1.7379E-02  8.5212E-03  4.8534E-03  1.7314E-01  4.1545E-01  2.0881E-03
  2.1218E-01  2.0095E-01  4.3592E-01  1.6989E-02  8.4279E-03  4.8764E-03  1.6967E-01  4.0819E-01  2.0164E-03
  2.0369E-01  1.9680E-01  4.2851E-01  1.6623E-02  8.3339E-03  4.8890E-03  1.6643E-01  4.0138E-01  1.9508E-03
  1.9600E-01  1.9295E-01  4.2160E-01  1.6282E-02  8.2408E-03  4.8933E-03  1.6341E-01  3.9503E-01  1.8910E-03
  1.8857E-01  1.8914E-01  4.1473E-01  1.5943E-02  8.1434E-03  4.8908E-03  1.6043E-01  3.8872E-01  1.8328E-03
  1.8155E-01  1.8546E-01  4.0805E-01  1.5613E-02  8.0441E-03  4.8822E-03  1.5753E-01  3.8257E-01  1.7773E-03
  1.7513E-01  1.8201E-01  4.0176E-01  1.5304E-02  7.9470E-03  4.8687E-03  1.5481E-01  3.7678E-01  1.7262E-03
  1.6927E-01  1.7880E-01  3.9587E-01  1.5014E-02  7.8530E-03  4.8517E-03  1.5226E-01  3.7136E-01  1.6792E-03
  1.6356E-01  1.7561E-01  3.8998E-01  1.4726E-02  7.7563E-03  4.8307E-03  1.4973E-01  3.6594E-01  1.6330E-03
  1.5812E-01  1.7250E-01  3.8423E-01  1.4445E-02  7.6592E-03  4.8065E-03  1.4726E-01  3.6065E-01  1.5888E-03
  1.5312E-01  1.6958E-01  3.7881E-01  1.4180E-02  7.5653E-03  4.7802E-03  1.4494E-01  3.5565E-01  1.5477E-03
  1.4853E-01  1.6685E-01  3.7371E-01  1.3932E-02  7.4751E-03  4.7527E-03  1.4276E-01  3.5095E-01  1.5097E-03
  1.4403E-01  1.6413E-01  3.6859E-01  1.3684E-02  7.3831E-03  4.7226E-03  1.4058E-01  3.4624E-01  1.4722E-03
  1.3972E-01  1.6147E-01  3.6359E-01  1.3442E-02  7.2913E-03  4.6905E-03  1.3845E-01  3.4162E-01  1.4361E-03
  1.3573E-01  1.5896E-01  3.5884E-01  1.3213E-02  7.2030E-03  4.6582E-03  1.3643E-01  3.3725E-01  1.4024E-03
  1.3205E-01  1.5660E-01  3.5437E-01  1.2998E-02  7.1185E-03  4.6257E-03  1.3454E-01  3.3312E-01  1.3710E-03
  1.2842E-01  1.5424E-01  3.4988E-01  1.2782E-02  7.0326E-03  4.5915E-03  1.3264E-01  3.2898E-01  1.3400E-03
  6.6077E-01  4.0354E-01  7.6571E-01  2.1610E-02  0.0000E+00  0.0000E+00  3.2920E-01  7.2127E-01  6.3672E-03
  6.4926E-01  3.9005E-01  7.4847E-01  2.1715E-02  0.0000E+00  0.0000E+00  3.1989E-01  7.0473E-01  5.9166E-03
  6.3685E-01  3.8006E-01  7.3526E-01  2.1719E-02  0.0000E+00  0.0000E+00  3.1287E-01  6.9212E-01  5.6019E-03
  6.1586E-01  3.6682E-01  7.1720E-01  2.1638E-02  0.0000E+00  0.0000E+00  3.0342E-01  6.7494E-01  5.2073E-03
  6.1586E-01  3.6682E-01  7.1720E-01  2.1638E-02  3.0306E-09  0.0000E+00  3.0342E-01  6.7494E-01  5.2073E-03
  5.9334E-01  3.5615E-01  7.0217E-01  2.1520E-02  1.1575E-03  0.0000E+00  2.9566E-01  6.6066E-01  4.9066E-03
  5.7084E-01  3.4618E-01  6.8780E-01  2.1350E-02  2.0755E-03  0.0000E+00  2.8833E-01  6.4706E-01  4.6387E-03
  5.5105E-01  3.3781E-01  6.7552E-01  2.1164E-02  2.7667E-03  0.0000E+00  2.8212E-01  6.3546E-01  4.4231E-03
  5.3194E-01  3.2999E-01  6.6385E-01  2.0958E-02  3.3514E-03  0.0000E+00  2.7628E-01  6.2446E-01  4.2286E-03
  5.1171E-01  3.2190E-01  6.5160E-01  2.0714E-02  3.8970E-03  0.0000E+00  2.7019E-01  6.1293E-01  4.0343E-03
  4.9427E-01  3.1503E-01  6.4106E-01  2.0483E-02  4.3152E-03  0.0000E+00  2.6500E-01  6.0303E-01  3.8748E-03
  4.7766E-01  3.0856E-01  6.3101E-01  2.0245E-02  4.6728E-03  0.0000E+00  2.6007E-01  5.9360E-01  3.7286E-03
  4.6468E-01  3.0353E-01  6.2312E-01  2.0049E-02  4.9276E-03  0.0000E+00  2.5623E-01  5.8620E-01  3.6177E-03
  4.2348E-01  2.8771E-01  5.9786E-01  1.9366E-02  5.6057E-03  0.0000E+00  2.4404E-01  5.6256E-01  3.2836E-03
  4.2348E-01  2.8771E-01  5.9786E-01  1.9366E-02  5.6057E-03  8.4027E-11  2.4404E-01  5.6256E-01  3.2836E-03
  4.1444E-01  2.8449E-01  5.9264E-01  1.9218E-02  5.7235E-03  2.5040E-04  2.4154E-01  5.5768E-01  3.2185E-03
  3.8888E-01  2.7522E-01  5.7746E-01  1.8770E-02  6.0217E-03  8.3012E-04  2.3431E-01  5.4349E-01  3.0354E-03
  3.6375E-01  2.6591E-01  5.6199E-01  1.8286E-02  6.2614E-03  1.3459E-03  2.2701E-01  5.2904E-01  2.8584E-03
  3.4224E-01  2.5773E-01  5.4823E-01  1.7837E-02  6.4251E-03  1.7441E-03  2.2056E-01  5.1621E-01  2.7085E-03
  3.2176E-01  2.4975E-01  5.3463E-01  1.7379E-02  6.5457E-03  2.0872E-03  2.1424E-01  5.0354E-01  2.5669E-03
  3.0566E-01  2.4331E-01  5.2357E-01  1.6995E-02  6.6161E-03  2.3322E-03  2.0912E-01  4.9323E-01  2.4561E-03
  2.8722E-01  2.3574E-01  5.1042E-01  1.6530E-02  6.6697E-03  2.5859E-03  2.0307E-01  4.8098E-01  2.3295E-03
  2.7185E-01  2.2925E-01  4.9903E-01  1.6119E-02  6.6920E-03  2.7758E-03  1.9787E-01  4.7038E-01  2.2239E-03
  2.5849E-01  2.2346E-01  4.8878E-01  1.5745E-02  6.6945E-03  2.9245E-03  1.9321E-01  4.6085E-01  2.1321E-03
  2.4253E-01  2.1634E-01  4.7606E-01  1.5273E-02  6.6757E-03  3.0815E-03  1.8745E-01  4.4901E-01  2.0221E-03
  2.2847E-01  2.0986E-01  4.6437E-01  1.4836E-02  6.6389E-03  3.2009E-03  1.8220E-01  4.3814E-01  1.9247E-03
  2.1609E-01  2.0397E-01  4.5367E-01  1.4432E-02  6.5900E-03  3.2909E-03  1.7741E-01  4.2817E-01  1.8385E-03
  2.0443E-01  1.9826E-01  4.4320E-01  1.4034E-02  6.5291E-03  3.3621E-03  1.7274E-01  4.1843E-01  1.7568E-03
  1.9368E-01  1.9283E-01  4.3317E-01  1.3651E-02  6.4597E-03  3.4158E-03  1.6830E-01  4.0910E-01  1.6810E-03
  1.8409E-01  1.8784E-01  4.2387E-01  1.3295E-02  6.3859E-03  3.4532E-03  1.6420E-01  4.0044E-01  1.6127E-03
  1.7551E-01  1.8326E-01  4.1529E-01  1.2966E-02  6.3107E-03  3.4784E-03  1.6042E-01  3.9245E-01  1.5513E-03
  1.6736E-01  1.7877E-01  4.0683E-01  1.2640E-02  6.2298E-03  3.4943E-03  1.5672E-01  3.8457E-01  1.4923E-03
  1.5975E-01  1.7447E-01  3.9866E-01  1.2327E-02  6.1463E-03  3.5021E-03  1.5315E-01  3.7697E-01  1.4368E-03
  1.5286E-01  1.7048E-01  3.9105E-01  1.2034E-02  6.0635E-03  3.5029E-03  1.4984E-01  3.6987E-01  1.3862E-03
  1.4666E-01  1.6679E-01  3.8397E-01  1.1762E-02  5.9827E-03  3.4983E-03  1.4678E-01  3.6328E-01  1.3402E-03
  1.4069E-01  1.6315E-01  3.7695E-01  1.1492E-02  5.8991E-03  3.4889E-03  1.4375E-01  3.5674E-01  1.2955E-03
  1.3507E-01  1.5964E-01  3.7014E-01  1.1231E-02  5.8148E-03  3.4753E-03  1.4081E-01  3.5039E-01  1.2531E-03
  1.2995E-01  1.5637E-01  3.6376E-01  1.0987E-02  5.7331E-03  3.4588E-03  1.3807E-01  3.4444E-01  1.2141E-03
  1.2529E-01  1.5332E-01  3.5779E-01  1.0759E-02  5.6546E-03  3.4402E-03  1.3552E-01  3.3887E-01  1.1783E-03
  1.2077E-01  1.5031E-01  3.5186E-01  1.0533E-02  5.5744E-03  3.4189E-03  1.3299E-01  3.3333E-01  1.1434E-03
  1.1648E-01  1.4738E-01  3.4607E-01  1.0313E-02  5.4945E-03  3.3954E-03  1.3052E-01  3.2793E-01  1.1099E-03
  1.1254E-01  1.4463E-01  3.4062E-01  1.0107E-02  5.4176E-03  3.3709E-03  1.2821E-01  3.2284E-01  1.0789E-03
  1.0894E-01  1.4207E-01  3.3551E-01  9.9135E-03  5.3441E-03  3.3460E-03  1.2605E-01  3.1807E-01  1.0503E-03
  1.0541E-01  1.3951E-01  3.3040E-01  9.7209E-03  5.2696E-03  3.3193E-03  1.2389E-01  3.1330E-01  1.0221E-03
  1.0205E-01  1.3703E-01  3.2541E-01  9.5333E-03  5.1955E-03  3.2914E-03  1.2179E-01  3.0864E-01  9.9508E-04
  9.8942E-02  1.3469E-01  3.2069E-01  9.3564E-03  5.1246E-03  3.2636E-03  1.1980E-01  3.0423E-01  9.6983E-04
  9.6088E-02  1.3249E-01  3.1625E-01  9.1907E-03  5.0570E-03  3.2361E-03  1.1794E-01  3.0008E-01  9.4647E-04
  9.3278E-02  1.3030E-01  3.1180E-01  9.0249E-03  4.9886E-03  3.2073E-03  1.1608E-01  2.9592E-01  9.2333E-04
  5.9559E-01  3.8564E-01  7.6716E-01  1.6975E-02  0.0000E+00  0.0000E+00  3.2994E-01  7.2796E-01  5.0320E-03
  5.7859E-01  3.7062E-01  7.4553E-01  1.7018E-02  0.0000E+00  0.0000E+00  3.1843E-01  7.0719E-01  4.6433E-03
  5.6293E-01  3.5961E-01  7.2927E-01  1.6987E-02  0.0000E+00  0.0000E+00  3.0989E-01  6.9162E-01  4.3738E-03
  5.3868E-01  3.4516E-01  7.0741E-01  1.6872E-02  0.0000E+00  0.0000E+00  2.9855E-01  6.7074E-01  4.0382E-03
  5.3868E-01  3.4516E-01  7.0741E-01  1.6872E-02  2.4395E-09  0.0000E+00  2.9855E-01  6.7074E-01  4.0382E-03
  5.1478E-01  3.3361E-01  6.8950E-01  1.6735E-02  9.2828E-04  0.0000E+00  2.8939E-01  6.5367E-01  3.7845E-03
  4.9154E-01  3.2291E-01  6.7260E-01  1.6557E-02  1.6568E-03  0.0000E+00  2.8083E-01  6.3760E-01  3.5599E-03
  4.7154E-01  3.1400E-01  6.5831E-01  1.6374E-02  2.2000E-03  0.0000E+00  2.7366E-01  6.2403E-01  3.3800E-03
  4.5254E-01  3.0572E-01  6.4484E-01  1.6176E-02  2.6555E-03  0.0000E+00  2.6696E-01  6.1127E-01  3.2186E-03
  4.3272E-01  2.9720E-01  6.3083E-01  1.5947E-02  3.0763E-03  0.0000E+00  2.6004E-01  5.9800E-01  3.0581E-03
  4.1586E-01  2.9002E-01  6.1887E-01  1.5734E-02  3.3956E-03  0.0000E+00  2.5418E-01  5.8669E-01  2.9269E-03
  3.9996E-01  2.8328E-01  6.0753E-01  1.5518E-02  3.6660E-03  0.0000E+00  2.4866E-01  5.7597E-01  2.8071E-03
  3.8764E-01  2.7806E-01  5.9869E-01  1.5341E-02  3.8569E-03  0.0000E+00  2.4437E-01  5.6762E-01  2.7166E-03
  3.4916E-01  2.6176E-01  5.7064E-01  1.4736E-02  4.3553E-03  0.0000E+00  2.3091E-01  5.4116E-01  2.4457E-03
  3.4916E-01  2.6176E-01  5.7064E-01  1.4736E-02  4.3553E-03  6.4264E-11  2.3091E-01  5.4116E-01  2.4457E-03
  3.4092E-01  2.5848E-01  5.6489E-01  1.4606E-02  4.4401E-03  1.9141E-04  2.2818E-01  5.3575E-01  2.3932E-03
  3.1773E-01  2.4904E-01  5.4828E-01  1.4216E-02  4.6509E-03  6.3181E-04  2.2032E-01  5.2009E-01  2.2461E-03
  2.9517E-01  2.3961E-01  5.3147E-01  1.3801E-02  4.8145E-03  1.0198E-03  2.1243E-01  5.0427E-01  2.1047E-03
  2.7605E-01  2.3139E-01  5.1665E-01  1.3419E-02  4.9209E-03  1.3163E-03  2.0553E-01  4.9032E-01  1.9856E-03
  2.5800E-01  2.2341E-01  5.0209E-01  1.3031E-02  4.9938E-03  1.5691E-03  1.9881E-01  4.7664E-01  1.8737E-03
  2.4392E-01  2.1701E-01  4.9031E-01  1.2710E-02  5.0317E-03  1.7477E-03  1.9340E-01  4.6556E-01  1.7865E-03
  2.2792E-01  2.0952E-01  4.7640E-01  1.2323E-02  5.0534E-03  1.9306E-03  1.8705E-01  4.5249E-01  1.6873E-03
  2.1467E-01  2.0312E-01  4.6442E-01  1.1983E-02  5.0538E-03  2.0656E-03  1.8162E-01  4.4122E-01  1.6050E-03
  2.0323E-01  1.9745E-01  4.5369E-01  1.1675E-02  5.0409E-03  2.1698E-03  1.7678E-01  4.3114E-01  1.5336E-03
  1.8966E-01  1.9049E-01  4.4044E-01  1.1289E-02  5.0084E-03  2.2779E-03  1.7084E-01  4.1869E-01  1.4486E-03
  1.7779E-01  1.8419E-01  4.2833E-01  1.0933E-02  4.9641E-03  2.3582E-03  1.6544E-01  4.0731E-01  1.3736E-03
  1.6740E-01  1.7850E-01  4.1729E-01  1.0606E-02  4.9123E-03  2.4169E-03  1.6055E-01  3.9694E-01  1.3075E-03
  1.5768E-01  1.7299E-01  4.0654E-01  1.0286E-02  4.8522E-03  2.4617E-03  1.5581E-01  3.8684E-01  1.2451E-03
  1.4877E-01  1.6778E-01  3.9629E-01  9.9789E-03  4.7866E-03  2.4937E-03  1.5132E-01  3.7720E-01  1.1874E-03
  1.4086E-01  1.6301E-01  3.8684E-01  9.6948E-03  4.7191E-03  2.5141E-03  1.4719E-01  3.6831E-01  1.1356E-03
  1.3382E-01  1.5864E-01  3.7813E-01  9.4327E-03  4.6518E-03  2.5261E-03  1.4341E-01  3.6012E-01  1.0892E-03
  1.2716E-01  1.5438E-01  3.6958E-01  9.1751E-03  4.5807E-03  2.5312E-03  1.3971E-01  3.5209E-01  1.0448E-03
  1.2097E-01  1.5031E-01  3.6136E-01  8.9274E-03  4.5083E-03  2.5307E-03  1.3617E-01  3.4435E-01  1.0032E-03
  1.1540E-01  1.4655E-01  3.5372E-01  8.6970E-03  4.4375E-03  2.5255E-03  1.3289E-01  3.3716E-01  9.6528E-04
  1.1040E-01  1.4308E-01  3.4664E-01  8.4836E-03  4.3690E-03  2.5168E-03  1.2986E-01  3.3049E-01  9.3095E-04
  1.0560E-01  1.3966E-01  3.3964E-01  8.2730E-03  4.2989E-03  2.5047E-03  1.2688E-01  3.2390E-01  8.9772E-04
  1.0110E-01  1.3638E-01  3.3287E-01  8.0695E-03  4.2287E-03  2.4898E-03  1.2401E-01  3.1753E-01  8.6625E-04
  9.7017E-02  1.3332E-01  3.2654E-01  7.8796E-03  4.1611E-03  2.4732E-03  1.2133E-01  3.1156E-01  8.3739E-04
  9.3316E-02  1.3049E-01  3.2064E-01  7.7031E-03  4.0966E-03  2.4554E-03  1.1884E-01  3.0600E-01  8.1100E-04
  8.9735E-02  1.2769E-01  3.1478E-01  7.5281E-03  4.0311E-03  2.4356E-03  1.1638E-01  3.0048E-01  7.8524E-04
  8.6345E-02  1.2497E-01  3.0908E-01  7.3584E-03  3.9661E-03  2.4146E-03  1.1399E-01  2.9511E-01  7.6062E-04
  8.3245E-02  1.2244E-01  3.0373E-01  7.1994E-03  3.9040E-03  2.3931E-03  1.1175E-01  2.9007E-01  7.3791E-04
  8.0415E-02  1.2007E-01  2.9872E-01  7.0510E-03  3.8449E-03  2.3716E-03  1.0967E-01  2.8534E-01  7.1700E-04
  7.7655E-02  1.1772E-01  2.9373E-01  6.9034E-03  3.7851E-03  2.3488E-03  1.0759E-01  2.8063E-01  6.9644E-04
  7.5034E-02  1.1544E-01  2.8886E-01  6.7600E-03  3.7260E-03  2.3254E-03  1.0558E-01  2.7604E-01  6.7673E-04
  7.2610E-02  1.1329E-01  2.8426E-01  6.6250E-03  3.6695E-03  2.3023E-03  1.0368E-01  2.7170E-01  6.5838E-04
  7.0392E-02  1.1128E-01  2.7995E-01  6.4988E-03  3.6160E-03  2.2796E-03  1.0190E-01  2.6763E-01  6.4144E-04
  6.8214E-02  1.0928E-01  2.7563E-01  6.3727E-03  3.5619E-03  2.2561E-03  1.0012E-01  2.6355E-01  6.2468E-04
  5.3840E-01  3.6493E-01  7.5951E-01  1.3091E-02  0.0000E+00  0.0000E+00  3.2514E-01  7.2473E-01  3.8763E-03
  5.1708E-01  3.4874E-01  7.3397E-01  1.3121E-02  0.0000E+00  0.0000E+00  3.1167E-01  7.0019E-01  3.5533E-03
  4.9897E-01  3.3697E-01  7.1502E-01  1.3087E-02  0.0000E+00  0.0000E+00  3.0181E-01  6.8203E-01  3.3309E-03
  4.7246E-01  3.2166E-01  6.8986E-01  1.2978E-02  0.0000E+00  0.0000E+00  2.8888E-01  6.5796E-01  3.0558E-03
  4.7246E-01  3.2166E-01  6.8986E-01  1.2978E-02  1.9663E-09  0.0000E+00  2.8888E-01  6.5796E-01  3.0558E-03
  4.4782E-01  3.0953E-01  6.6951E-01  1.2852E-02  7.4548E-04  0.0000E+00  2.7856E-01  6.3852E-01  2.8492E-03
  4.2439E-01  2.9836E-01  6.5050E-01  1.2692E-02  1.3245E-03  0.0000E+00  2.6902E-01  6.2038E-01  2.6673E-03
  4.0456E-01  2.8912E-01  6.3454E-01  1.2530E-02  1.7521E-03  0.0000E+00  2.6109E-01  6.0518E-01  2.5224E-03
  3.8600E-01  2.8058E-01  6.1963E-01  1.2357E-02  2.1073E-03  0.0000E+00  2.5373E-01  5.9099E-01  2.3929E-03
  3.6688E-01  2.7184E-01  6.0421E-01  1.2158E-02  2.4322E-03  0.0000E+00  2.4619E-01  5.7632E-01  2.2647E-03
  3.5079E-01  2.6451E-01  5.9113E-01  1.1974E-02  2.6764E-03  0.0000E+00  2.3984E-01  5.6390E-01  2.1604E-03
  3.3576E-01  2.5766E-01  5.7880E-01  1.1789E-02  2.8809E-03  0.0000E+00  2.3389E-01  5.5218E-01  2.0655E-03
  3.2422E-01  2.5238E-01  5.6922E-01  1.1638E-02  3.0239E-03  0.0000E+00  2.2929E-01  5.4309E-01  1.9940E-03
  2.8864E-01  2.3598E-01  5.3909E-01  1.1127E-02  3.3898E-03  0.0000E+00  2.1498E-01  5.1452E-01  1.7812E-03
  2.8864E-01  2.3598E-01  5.3909E-01  1.1127E-02  3.3898E-03  4.9267E-11  2.1498E-01  5.1452E-01  1.7812E-03
  2.8116E-01  2.3270E-01  5.3297E-01  1.1018E-02  3.4507E-03  1.4667E-04  2.1210E-01  5.0871E-01  1.7402E-03
  2.6027E-01  2.2330E-01  5.1534E-01  1.0691E-02  3.5988E-03  4.8200E-04  2.0385E-01  4.9200E-01  1.6257E-03
  2.4015E-01  2.1397E-01  4.9764E-01  1.0346E-02  3.7091E-03  7.7455E-04  1.9564E-01  4.7522E-01  1.5162E-03
  2.2324E-01  2.0588E-01  4.8211E-01  1.0031E-02  3.7763E-03  9.9583E-04  1.8850E-01  4.6052E-01  1.4245E-03
  2.0742E-01  1.9807E-01  4.6696E-01  9.7137E-03  3.8176E-03  1.1824E-03  1.8159E-01  4.4617E-01  1.3387E-03
  1.9517E-01  1.9183E-01  4.5476E-01  9.4516E-03  3.8345E-03  1.3129E-03  1.7607E-01  4.3462E-01  1.2721E-03
  1.8134E-01  1.8456E-01  4.4043E-01  9.1369E-03  3.8368E-03  1.4449E-03  1.6961E-01  4.2105E-01  1.1967E-03
  1.6997E-01  1.7839E-01  4.2814E-01  8.8623E-03  3.8249E-03  1.5409E-03  1.6412E-01  4.0942E-01  1.1343E-03
  1.6022E-01  1.7292E-01  4.1718E-01  8.6142E-03  3.8041E-03  1.6139E-03  1.5925E-01  3.9905E-01  1.0805E-03
  1.4872E-01  1.6626E-01  4.0372E-01  8.3053E-03  3.7659E-03  1.6882E-03  1.5331E-01  3.8629E-01  1.0166E-03
  1.3873E-01  1.6026E-01  3.9147E-01  8.0215E-03  3.7203E-03  1.7419E-03  1.4794E-01  3.7470E-01  9.6048E-04
  1.3004E-01  1.5485E-01  3.8035E-01  7.7617E-03  3.6703E-03  1.7798E-03  1.4309E-01  3.6417E-01  9.1121E-04
  1.2196E-01  1.4964E-01  3.6957E-01  7.5082E-03  3.6145E-03  1.8073E-03  1.3842E-01  3.5396E-01  8.6487E-04
  1.1459E-01  1.4473E-01  3.5933E-01  7.2663E-03  3.5554E-03  1.8255E-03  1.3401E-01  3.4425E-01  8.2216E-04
  1.0808E-01  1.4025E-01  3.4992E-01  7.0432E-03  3.4959E-03  1.8355E-03  1.2997E-01  3.3533E-01  7.8401E-04
  1.0232E-01  1.3616E-01  3.4128E-01  6.8380E-03  3.4374E-03  1.8396E-03  1.2629E-01  3.2714E-01  7.4987E-04
  9.6898E-02  1.3219E-01  3.3283E-01  6.6370E-03  3.3765E-03  1.8387E-03  1.2270E-01  3.1913E-01  7.1734E-04
  9.1875E-02  1.2840E-01  3.2473E-01  6.4443E-03  3.3152E-03  1.8339E-03  1.1928E-01  3.1145E-01  6.8689E-04
  8.7374E-02  1.2491E-01  3.1722E-01  6.2655E-03  3.2558E-03  1.8261E-03  1.1612E-01  3.0432E-01  6.5930E-04
  8.3349E-02  1.2170E-01  3.1028E-01  6.1005E-03  3.1989E-03  1.8159E-03  1.1321E-01  2.9773E-01  6.3436E-04
  7.9504E-02  1.1855E-01  3.0343E-01  5.9379E-03  3.1409E-03  1.8034E-03  1.1036E-01  2.9124E-01  6.1028E-04
  7.5910E-02  1.1553E-01  2.9683E-01  5.7814E-03  3.0834E-03  1.7890E-03  1.0761E-01  2.8497E-01  5.8752E-04
  7.2659E-02  1.1272E-01  2.9068E-01  5.6356E-03  3.0283E-03  1.7736E-03  1.0507E-01  2.7913E-01  5.6671E-04
  6.9722E-02  1.1013E-01  2.8495E-01  5.5004E-03  2.9760E-03  1.7577E-03  1.0271E-01  2.7369E-01  5.4773E-04
  6.6889E-02  1.0757E-01  2.7928E-01  5.3666E-03  2.9231E-03  1.7404E-03  1.0038E-01  2.6830E-01  5.2924E-04
  6.4215E-02  1.0509E-01  2.7378E-01  5.2372E-03  2.8709E-03  1.7223E-03  9.8122E-02  2.6307E-01  5.1161E-04
  6.1777E-02  1.0279E-01  2.6862E-01  5.1162E-03  2.8211E-03  1.7041E-03  9.6017E-02  2.5817E-01  4.9538E-04
  5.9558E-02  1.0064E-01  2.6381E-01  5.0035E-03  2.7740E-03  1.6861E-03  9.4058E-02  2.5360E-01  4.8047E-04
  5.7398E-02  9.8511E-02  2.5902E-01  4.8916E-03  2.7265E-03  1.6673E-03  9.2113E-02  2.4904E-01  4.6584E-04
  5.5353E-02  9.6447E-02  2.5435E-01  4.7831E-03  2.6797E-03  1.6480E-03  9.0227E-02  2.4460E-01  4.5184E-04
  5.3466E-02  9.4510E-02  2.4996E-01  4.6811E-03  2.6352E-03  1.6292E-03  8.8454E-02  2.4042E-01  4.3883E-04
  5.1745E-02  9.2703E-02  2.4585E-01  4.5860E-03  2.5931E-03  1.6109E-03  8.6800E-02  2.3650E-01  4.2684E-04
  5.0057E-02  9.0903E-02  2.4173E-01  4.4912E-03  2.5506E-03  1.5920E-03  8.5151E-02  2.3259E-01  4.1500E-04
  4.8734E-01  3.4188E-01  7.4353E-01  9.9114E-03  0.0000E+00  0.0000E+00  3.1502E-01  7.1277E-01  2.9127E-03
  4.6268E-01  3.2487E-01  7.1463E-01  9.9522E-03  0.0000E+00  0.0000E+00  2.9995E-01  6.8500E-01  2.6534E-03
  4.4282E-01  3.1262E-01  6.9342E-01  9.9319E-03  0.0000E+00  0.0000E+00  2.8904E-01  6.6465E-01  2.4759E-03
  4.1486E-01  2.9677E-01  6.6554E-01  9.8485E-03  0.0000E+00  0.0000E+00  2.7488E-01  6.3793E-01  2.2576E-03
  4.1486E-01  2.9677E-01  6.6554E-01  9.8485E-03  1.5839E-09  0.0000E+00  2.7488E-01  6.3793E-01  2.2576E-03
  3.9001E-01  2.8433E-01  6.4322E-01  9.7472E-03  5.9832E-04  0.0000E+00  2.6370E-01  6.1656E-01  2.0948E-03
  3.6680E-01  2.7294E-01  6.2253E-01  9.6168E-03  1.0583E-03  0.0000E+00  2.5345E-01  5.9677E-01  1.9522E-03
  3.4746E-01  2.6358E-01  6.0529E-01  9.4837E-03  1.3947E-03  0.0000E+00  2.4500E-01  5.8030E-01  1.8391E-03
  3.2958E-01  2.5496E-01  5.8927E-01  9.3416E-03  1.6716E-03  0.0000E+00  2.3721E-01  5.6500E-01  1.7385E-03
  3.1136E-01  2.4619E-01  5.7280E-01  9.1780E-03  1.9224E-03  0.0000E+00  2.2927E-01  5.4928E-01  1.6393E-03
  2.9619E-01  2.3886E-01  5.5891E-01  9.0274E-03  2.1088E-03  0.0000E+00  2.2262E-01  5.3603E-01  1.5588E-03
  2.8215E-01  2.3204E-01  5.4587E-01  8.8759E-03  2.2633E-03  0.0000E+00  2.1643E-01  5.2359E-01  1.4859E-03
  2.7143E-01  2.2681E-01  5.3579E-01  8.7524E-03  2.3703E-03  0.0000E+00  2.1166E-01  5.1398E-01  1.4311E-03
  2.3883E-01  2.1065E-01  5.0428E-01  8.3350E-03  2.6381E-03  0.0000E+00  1.9694E-01  4.8395E-01  1.2689E-03
  2.3883E-01  2.1065E-01  5.0428E-01  8.3350E-03  2.6381E-03  3.7782E-11  1.9694E-01  4.8395E-01  1.2689E-03
  2.3210E-01  2.0743E-01  4.9793E-01  8.2465E-03  2.6814E-03  1.1242E-04  1.9399E-01  4.7789E-01  1.2379E-03
  2.1340E-01  1.9826E-01  4.7968E-01  7.9819E-03  2.7847E-03  3.6790E-04  1.8561E-01  4.6051E-01  1.1514E-03
  1.9556E-01  1.8920E-01  4.6147E-01  7.7033E-03  2.8576E-03  5.8862E-04  1.7732E-01  4.4316E-01  1.0690E-03
  1.8070E-01  1.8139E-01  4.4560E-01  7.4498E-03  2.8982E-03  7.5384E-04  1.7015E-01  4.2804E-01  1.0004E-03
  1.6690E-01  1.7388E-01  4.3019E-01  7.1954E-03  2.9188E-03  8.9169E-04  1.6326E-01  4.1336E-01  9.3644E-04
  1.5630E-01  1.6792E-01  4.1784E-01  6.9861E-03  2.9228E-03  9.8703E-04  1.5777E-01  4.0159E-01  8.8703E-04
  1.4441E-01  1.6099E-01  4.0339E-01  6.7358E-03  2.9139E-03  1.0822E-03  1.5140E-01  3.8782E-01  8.3127E-04
  1.3471E-01  1.5514E-01  3.9105E-01  6.5182E-03  2.8956E-03  1.1504E-03  1.4600E-01  3.7607E-01  7.8537E-04
  1.2643E-01  1.4998E-01  3.8010E-01  6.3223E-03  2.8717E-03  1.2015E-03  1.4124E-01  3.6564E-01  7.4588E-04
  1.1673E-01  1.4371E-01  3.6670E-01  6.0792E-03  2.8329E-03  1.2523E-03  1.3545E-01  3.5286E-01  6.9913E-04
  1.0836E-01  1.3808E-01  3.5456E-01  5.8565E-03  2.7894E-03  1.2878E-03  1.3025E-01  3.4129E-01  6.5828E-04
  1.0112E-01  1.3304E-01  3.4358E-01  5.6535E-03  2.7437E-03  1.3119E-03  1.2558E-01  3.3083E-01  6.2252E-04
  9.4431E-02  1.2819E-01  3.3298E-01  5.4560E-03  2.6941E-03  1.3282E-03  1.2109E-01  3.2071E-01  5.8902E-04
  8.8360E-02  1.2365E-01  3.2294E-01  5.2682E-03  2.6425E-03  1.3377E-03  1.1687E-01  3.1114E-01  5.5823E-04
  8.3029E-02  1.1951E-01  3.1375E-01  5.0955E-03  2.5914E-03  1.3415E-03  1.1303E-01  3.0237E-01  5.3083E-04
  7.8331E-02  1.1574E-01  3.0534E-01  4.9371E-03  2.5419E-03  1.3412E-03  1.0953E-01  2.9434E-01  5.0638E-04
  7.3925E-02  1.1210E-01  2.9713E-01  4.7824E-03  2.4909E-03  1.3373E-03  1.0614E-01  2.8651E-01  4.8315E-04
  6.9863E-02  1.0863E-01  2.8929E-01  4.6344E-03  2.4399E-03  1.3307E-03  1.0292E-01  2.7902E-01  4.6147E-04
  6.6238E-02  1.0545E-01  2.8204E-01  4.4975E-03  2.3909E-03  1.3220E-03  9.9949E-02  2.7209E-01  4.4187E-04
  6.3009E-02  1.0253E-01  2.7536E-01  4.3714E-03  2.3443E-03  1.3120E-03  9.7227E-02  2.6571E-01  4.2420E-04
  5.9936E-02  9.9669E-02  2.6879E-01  4.2475E-03  2.2971E-03  1.3003E-03  9.4562E-02  2.5943E-01  4.0719E-04
  5.7074E-02  9.6934E-02  2.6247E-01  4.1284E-03  2.2505E-03  1.2873E-03  9.2008E-02  2.5338E-01  3.9115E-04
  5.4492E-02  9.4401E-02  2.5658E-01  4.0177E-03  2.2061E-03  1.2738E-03  8.9642E-02  2.4776E-01  3.7651E-04
  5.2168E-02  9.2063E-02  2.5112E-01  3.9153E-03  2.1641E-03  1.2601E-03  8.7457E-02  2.4254E-01  3.6319E-04
  4.9933E-02  8.9760E-02  2.4573E-01  3.8142E-03  2.1219E-03  1.2455E-03  8.5303E-02  2.3737E-01  3.5024E-04
  4.7829E-02  8.7541E-02  2.4050E-01  3.7166E-03  2.0804E-03  1.2304E-03  8.3226E-02  2.3237E-01  3.3792E-04
  4.5917E-02  8.5474E-02  2.3562E-01  3.6255E-03  2.0410E-03  1.2154E-03  8.1291E-02  2.2770E-01  3.2661E-04
  4.4181E-02  8.3557E-02  2.3106E-01  3.5408E-03  2.0038E-03  1.2007E-03  7.9495E-02  2.2334E-01  3.1623E-04
  4.2496E-02  8.1658E-02  2.2654E-01  3.4568E-03  1.9664E-03  1.1854E-03  7.7715E-02  2.1900E-01  3.0606E-04
  4.0903E-02  7.9821E-02  2.2214E-01  3.3756E-03  1.9297E-03  1.1699E-03  7.5992E-02  2.1479E-01  2.9636E-04
  3.9438E-02  7.8100E-02  2.1801E-01  3.2993E-03  1.8948E-03  1.1549E-03  7.4377E-02  2.1083E-01  2.8735E-04
  3.8104E-02  7.6498E-02  2.1415E-01  3.2283E-03  1.8620E-03  1.1404E-03  7.2873E-02  2.0713E-01  2.7907E-04
  3.6800E-02  7.4904E-02  2.1029E-01  3.1576E-03  1.8290E-03  1.1254E-03  7.1376E-02  2.0344E-01  2.7091E-04
  4.4107E-01  3.1691E-01  7.1998E-01  7.3708E-03  0.0000E+00  0.0000E+00  2.9997E-01  6.9312E-01  2.1384E-03
  4.1396E-01  2.9946E-01  6.8837E-01  7.4311E-03  0.0000E+00  0.0000E+00  2.8376E-01  6.6271E-01  1.9364E-03
  3.9293E-01  2.8697E-01  6.6537E-01  7.4299E-03  0.0000E+00  0.0000E+00  2.7213E-01  6.4061E-01  1.7988E-03
  3.6422E-01  2.7093E-01  6.3539E-01  7.3778E-03  0.0000E+00  0.0000E+00  2.5718E-01  6.1181E-01  1.6307E-03
  3.6422E-01  2.7093E-01  6.3539E-01  7.3778E-03  1.2727E-09  0.0000E+00  2.5718E-01  6.1181E-01  1.6307E-03
  3.3957E-01  2.5843E-01  6.1160E-01  7.3050E-03  4.7907E-04  0.0000E+00  2.4548E-01  5.8898E-01  1.5060E-03
  3.1694E-01  2.4706E-01  5.8970E-01  7.2062E-03  8.4360E-04  0.0000E+00  2.3484E-01  5.6797E-01  1.3973E-03
  2.9833E-01  2.3776E-01  5.7157E-01  7.1031E-03  1.1077E-03  0.0000E+00  2.2612E-01  5.5058E-01  1.3115E-03
  2.8131E-01  2.2925E-01  5.5480E-01  6.9918E-03  1.3230E-03  0.0000E+00  2.1813E-01  5.3451E-01  1.2355E-03
  2.6415E-01  2.2062E-01  5.3765E-01  6.8628E-03  1.5160E-03  0.0000E+00  2.1003E-01  5.1808E-01  1.1608E-03
  2.4999E-01  2.1344E-01  5.2326E-01  6.7437E-03  1.6580E-03  0.0000E+00  2.0329E-01  5.0429E-01  1.1005E-03
  2.3699E-01  2.0679E-01  5.0980E-01  6.6235E-03  1.7743E-03  0.0000E+00  1.9703E-01  4.9139E-01  1.0460E-03
  2.2714E-01  2.0169E-01  4.9942E-01  6.5255E-03  1.8540E-03  0.0000E+00  1.9224E-01  4.8146E-01  1.0051E-03
  1.9751E-01  1.8607E-01  4.6722E-01  6.1943E-03  2.0488E-03  0.0000E+00  1.7753E-01  4.5062E-01  8.8487E-04
  1.9751E-01  1.8607E-01  4.6722E-01  6.1943E-03  2.0488E-03  2.8932E-11  1.7753E-01  4.5062E-01  8.8487E-04
  1.9149E-01  1.8297E-01  4.6076E-01  6.1241E-03  2.0794E-03  8.6046E-05  1.7461E-01  4.4443E-01  8.6193E-04
  1.7487E-01  1.7418E-01  4.4229E-01  5.9145E-03  2.1503E-03  2.8039E-04  1.6632E-01  4.2674E-01  7.9830E-04
  1.5915E-01  1.6556E-01  4.2395E-01  5.6942E-03  2.1971E-03  4.4664E-04  1.5818E-01  4.0918E-01  7.3801E-04
  1.4617E-01  1.5815E-01  4.0805E-01  5.4943E-03  2.2200E-03  5.6980E-04  1.5118E-01  3.9395E-01  6.8798E-04
  1.3421E-01  1.5106E-01  3.9268E-01  5.2942E-03  2.2274E-03  6.7143E-04  1.4449E-01  3.7923E-01  6.4154E-04
  1.2508E-01  1.4546E-01  3.8042E-01  5.1301E-03  2.2236E-03  7.4091E-04  1.3919E-01  3.6749E-01  6.0580E-04
  1.1492E-01  1.3898E-01  3.6613E-01  4.9343E-03  2.2088E-03  8.0935E-04  1.3306E-01  3.5379E-01  5.6563E-04
  1.0668E-01  1.3352E-01  3.5398E-01  4.7646E-03  2.1881E-03  8.5763E-04  1.2789E-01  3.4215E-01  5.3268E-04
  9.9686E-02  1.2873E-01  3.4324E-01  4.6121E-03  2.1639E-03  8.9313E-04  1.2335E-01  3.3186E-01  5.0442E-04
  9.1549E-02  1.2293E-01  3.3013E-01  4.4235E-03  2.1271E-03  9.2755E-04  1.1786E-01  3.1929E-01  4.7109E-04
  8.4570E-02  1.1775E-01  3.1831E-01  4.2514E-03  2.0877E-03  9.5076E-04  1.1294E-01  3.0796E-01  4.4208E-04
  7.8573E-02  1.1311E-01  3.0766E-01  4.0948E-03  2.0474E-03  9.6559E-04  1.0855E-01  2.9774E-01  4.1677E-04
  7.3055E-02  1.0869E-01  2.9741E-01  3.9430E-03  2.0045E-03  9.7470E-04  1.0434E-01  2.8791E-01  3.9314E-04
  6.8077E-02  1.0454E-01  2.8774E-01  3.7990E-03  1.9606E-03  9.7890E-04  1.0041E-01  2.7863E-01  3.7150E-04
  6.3728E-02  1.0078E-01  2.7891E-01  3.6669E-03  1.9177E-03  9.7905E-04  9.6835E-02  2.7015E-01  3.5229E-04
  5.9912E-02  9.7376E-02  2.7085E-01  3.5460E-03  1.8764E-03  9.7642E-04  9.3595E-02  2.6241E-01  3.3520E-04
  5.6350E-02  9.4085E-02  2.6302E-01  3.4283E-03  1.8343E-03  9.7124E-04  9.0463E-02  2.5489E-01  3.1901E-04
  5.3080E-02  9.0965E-02  2.5555E-01  3.3160E-03  1.7926E-03  9.6414E-04  8.7494E-02  2.4771E-01  3.0394E-04
  5.0173E-02  8.8104E-02  2.4867E-01  3.2123E-03  1.7528E-03  9.5576E-04  8.4770E-02  2.4109E-01  2.9035E-04
  4.7593E-02  8.5489E-02  2.4233E-01  3.1170E-03  1.7151E-03  9.4655E-04  8.2279E-02  2.3500E-01  2.7813E-04
  4.5146E-02  8.2937E-02  2.3612E-01  3.0235E-03  1.6771E-03  9.3616E-04  7.9846E-02  2.2903E-01  2.6639E-04
  4.2875E-02  8.0499E-02  2.3016E-01  2.9339E-03  1.6398E-03  9.2498E-04  7.7523E-02  2.2329E-01  2.5535E-04
  4.0834E-02  7.8247E-02  2.2462E-01  2.8508E-03  1.6045E-03  9.1355E-04  7.5375E-02  2.1797E-01  2.4530E-04
  3.9002E-02  7.6174E-02  2.1950E-01  2.7740E-03  1.5712E-03  9.0213E-04  7.3396E-02  2.1303E-01  2.3617E-04
  3.7245E-02  7.4135E-02  2.1444E-01  2.6983E-03  1.5378E-03  8.9009E-04  7.1450E-02  2.0817E-01  2.2732E-04
  3.5596E-02  7.2175E-02  2.0955E-01  2.6254E-03  1.5051E-03  8.7777E-04  6.9579E-02  2.0346E-01  2.1891E-04
  3.4102E-02  7.0354E-02  2.0499E-01  2.5575E-03  1.4742E-03  8.6563E-04  6.7839E-02  1.9907E-01  2.1120E-04
  3.2748E-02  6.8667E-02  2.0075E-01  2.4944E-03  1.4451E-03  8.5384E-04  6.6227E-02  1.9498E-01  2.0414E-04
  3.1438E-02  6.6999E-02  1.9654E-01  2.4320E-03  1.4159E-03  8.4168E-04  6.4633E-02  1.9092E-01  1.9724E-04
  3.0203E-02  6.5389E-02  1.9246E-01  2.3717E-03  1.3873E-03  8.2943E-04  6.3094E-02  1.8699E-01  1.9067E-04
  2.9069E-02  6.3883E-02  1.8862E-01  2.3152E-03  1.3603E-03  8.1758E-04  6.1653E-02  1.8330E-01  1.8458E-04
  2.8039E-02  6.2484E-02  1.8505E-01  2.2627E-03  1.3349E-03  8.0617E-04  6.0315E-02  1.7985E-01  1.7899E-04
  2.7034E-02  6.1094E-02  1.8149E-01  2.2104E-03  1.3094E-03  7.9452E-04  5.8985E-02  1.7641E-01  1.7348E-04
  3.9869E-01  2.9048E-01  6.8994E-01  5.3821E-03  0.0000E+00  0.0000E+00  2.8076E-01  6.6692E-01  1.5338E-03
  3.6989E-01  2.7293E-01  6.5627E-01  5.4617E-03  0.0000E+00  0.0000E+00  2.6388E-01  6.3446E-01  1.3809E-03
  3.4821E-01  2.6046E-01  6.3197E-01  5.4791E-03  0.0000E+00  0.0000E+00  2.5189E-01  6.1105E-01  1.2773E-03
  3.1933E-01  2.4456E-01  6.0052E-01  5.4567E-03  0.0000E+00  0.0000E+00  2.3658E-01  5.8076E-01  1.1514E-03
  3.1933E-01  2.4456E-01  6.0052E-01  5.4567E-03  1.0186E-09  0.0000E+00  2.3658E-01  5.8076E-01  1.1514E-03
  2.9526E-01  2.3224E-01  5.7576E-01  5.4107E-03  3.8210E-04  0.0000E+00  2.2471E-01  5.5692E-01  1.0585E-03
  2.7347E-01  2.2111E-01  5.5311E-01  5.3410E-03  6.6990E-04  0.0000E+00  2.1398E-01  5.3511E-01  9.7798E-04
  2.5577E-01  2.1205E-01  5.3445E-01  5.2652E-03  8.7639E-04  0.0000E+00  2.0525E-01  5.1715E-01  9.1469E-04
  2.3975E-01  2.0379E-01  5.1729E-01  5.1816E-03  1.0432E-03  0.0000E+00  1.9729E-01  5.0063E-01  8.5878E-04
  2.2376E-01  1.9546E-01  4.9980E-01  5.0835E-03  1.1911E-03  0.0000E+00  1.8926E-01  4.8380E-01  8.0409E-04
  2.1067E-01  1.8856E-01  4.8518E-01  4.9921E-03  1.2988E-03  0.0000E+00  1.8260E-01  4.6974E-01  7.6003E-04
  1.9874E-01  1.8219E-01  4.7157E-01  4.8995E-03  1.3860E-03  0.0000E+00  1.7645E-01  4.5664E-01  7.2038E-04
  1.8976E-01  1.7732E-01  4.6111E-01  4.8238E-03  1.4450E-03  0.0000E+00  1.7176E-01  4.4658E-01  6.9076E-04
  1.6307E-01  1.6249E-01  4.2883E-01  4.5670E-03  1.5856E-03  0.0000E+00  1.5745E-01  4.1551E-01  6.0390E-04
  1.6307E-01  1.6249E-01  4.2883E-01  4.5670E-03  1.5856E-03  2.2092E-11  1.5745E-01  4.1551E-01  6.0390E-04
  1.5772E-01  1.5957E-01  4.2239E-01  4.5125E-03  1.6069E-03  6.5669E-05  1.5463E-01  4.0931E-01  5.8742E-04
  1.4304E-01  1.5130E-01  4.0403E-01  4.3497E-03  1.6548E-03  2.1308E-04  1.4666E-01  3.9165E-01  5.4181E-04
  1.2928E-01  1.4322E-01  3.8590E-01  4.1787E-03  1.6836E-03  3.3795E-04  1.3886E-01  3.7420E-01  4.9880E-04
  1.1802E-01  1.3632E-01  3.7025E-01  4.0238E-03  1.6947E-03  4.2948E-04  1.3220E-01  3.5913E-01  4.6325E-04
  1.0772E-01  1.2975E-01  3.5519E-01  3.8690E-03  1.6940E-03  5.0415E-04  1.2586E-01  3.4463E-01  4.3040E-04
  9.9910E-02  1.2457E-01  3.4322E-01  3.7422E-03  1.6860E-03  5.5461E-04  1.2086E-01  3.3311E-01  4.0520E-04
  9.1273E-02  1.1861E-01  3.2933E-01  3.5913E-03  1.6688E-03  6.0361E-04  1.1511E-01  3.1972E-01  3.7698E-04
  8.4313E-02  1.1361E-01  3.1756E-01  3.4608E-03  1.6480E-03  6.3759E-04  1.1028E-01  3.0838E-01  3.5391E-04
  7.8445E-02  1.0923E-01  3.0719E-01  3.3437E-03  1.6252E-03  6.6209E-04  1.0605E-01  2.9839E-01  3.3420E-04
  7.1655E-02  1.0396E-01  2.9459E-01  3.1994E-03  1.5920E-03  6.8515E-04  1.0096E-01  2.8624E-01  3.1102E-04
  6.5868E-02  9.9266E-02  2.8326E-01  3.0679E-03  1.5575E-03  7.0000E-04  9.6426E-02  2.7531E-01  2.9092E-04
  6.0925E-02  9.5085E-02  2.7309E-01  2.9486E-03  1.5229E-03  7.0879E-04  9.2385E-02  2.6551E-01  2.7344E-04
  5.6401E-02  9.1103E-02  2.6333E-01  2.8333E-03  1.4867E-03  7.1337E-04  8.8537E-02  2.5609E-01  2.5718E-04
  5.2341E-02  8.7387E-02  2.5416E-01  2.7241E-03  1.4501E-03  7.1442E-04  8.4945E-02  2.4723E-01  2.4232E-04
  4.8812E-02  8.4029E-02  2.4580E-01  2.6242E-03  1.4147E-03  7.1264E-04  8.1698E-02  2.3917E-01  2.2918E-04
  4.5729E-02  8.0993E-02  2.3820E-01  2.5331E-03  1.3809E-03  7.0899E-04  7.8762E-02  2.3183E-01  2.1753E-04
  4.2864E-02  7.8070E-02  2.3083E-01  2.4445E-03  1.3467E-03  7.0353E-04  7.5934E-02  2.2471E-01  2.0651E-04
  4.0244E-02  7.5306E-02  2.2382E-01  2.3601E-03  1.3130E-03  6.9676E-04  7.3261E-02  2.1794E-01  1.9628E-04
  3.7925E-02  7.2779E-02  2.1738E-01  2.2823E-03  1.2811E-03  6.8919E-04  7.0815E-02  2.1170E-01  1.8708E-04
  3.5874E-02  7.0475E-02  2.1146E-01  2.2110E-03  1.2510E-03  6.8114E-04  6.8584E-02  2.0599E-01  1.7883E-04
  3.3936E-02  6.8231E-02  2.0567E-01  2.1413E-03  1.2208E-03  6.7230E-04  6.6412E-02  2.0039E-01  1.7092E-04
  3.2143E-02  6.6094E-02  2.0013E-01  2.0745E-03  1.1913E-03  6.6294E-04  6.4342E-02  1.9503E-01  1.6349E-04
  3.0537E-02  6.4123E-02  1.9499E-01  2.0127E-03  1.1635E-03  6.5353E-04  6.2434E-02  1.9005E-01  1.5675E-04
  2.9099E-02  6.2313E-02  1.9025E-01  1.9556E-03  1.1373E-03  6.4423E-04  6.0680E-02  1.8546E-01  1.5064E-04
  2.7725E-02  6.0537E-02  1.8557E-01  1.8996E-03  1.1112E-03  6.3452E-04  5.8960E-02  1.8094E-01  1.4472E-04
  2.6439E-02  5.8833E-02  1.8106E-01  1.8456E-03  1.0857E-03  6.2465E-04  5.7308E-02  1.7657E-01  1.3911E-04
  2.5276E-02  5.7253E-02  1.7686E-01  1.7954E-03  1.0617E-03  6.1501E-04  5.5776E-02  1.7250E-01  1.3398E-04
  2.4226E-02  5.5792E-02  1.7296E-01  1.7489E-03  1.0391E-03  6.0570E-04  5.4360E-02  1.6873E-01  1.2929E-04
  2.3212E-02  5.4350E-02  1.6910E-01  1.7029E-03  1.0166E-03  5.9616E-04  5.2962E-02  1.6498E-01  1.2472E-04
  2.2259E-02  5.2961E-02  1.6536E-01  1.6586E-03  9.9460E-04  5.8659E-04  5.1616E-02  1.6136E-01  1.2036E-04
  2.1385E-02  5.1664E-02  1.6185E-01  1.6171E-03  9.7381E-04  5.7738E-04  5.0357E-02  1.5796E-01  1.1634E-04
  2.0593E-02  5.0461E-02  1.5859E-01  1.5786E-03  9.5432E-04  5.6855E-04  4.9190E-02  1.5480E-01  1.1265E-04
  1.9822E-02  4.9268E-02  1.5534E-01  1.5403E-03  9.3481E-04  5.5957E-04  4.8033E-02  1.5165E-01  1.0902E-04
  3.5956E-01  2.6305E-01  6.5449E-01  3.8572E-03  0.0000E+00  0.0000E+00  2.5826E-01  6.3522E-01  1.0749E-03
  3.2976E-01  2.4575E-01  6.1945E-01  3.9513E-03  0.0000E+00  0.0000E+00  2.4122E-01  6.0134E-01  9.6225E-04
  3.0787E-01  2.3354E-01  5.9433E-01  3.9834E-03  0.0000E+00  0.0000E+00  2.2919E-01  5.7705E-01  8.8641E-04
  2.7933E-01  2.1807E-01  5.6203E-01  3.9853E-03  0.0000E+00  0.0000E+00  2.1396E-01  5.4584E-01  7.9461E-04
  2.7933E-01  2.1807E-01  5.6203E-01  3.9853E-03  8.1086E-10  0.0000E+00  2.1396E-01  5.4584E-01  7.9461E-04
  2.5612E-01  2.0618E-01  5.3678E-01  3.9616E-03  3.0312E-04  0.0000E+00  2.0225E-01  5.2143E-01  7.2733E-04
  2.3539E-01  1.9549E-01  5.1381E-01  3.9163E-03  5.2915E-04  0.0000E+00  1.9173E-01  4.9922E-01  6.6922E-04
  2.1875E-01  1.8682E-01  4.9498E-01  3.8633E-03  6.8977E-04  0.0000E+00  1.8321E-01  4.8102E-01  6.2374E-04
  2.0382E-01  1.7896E-01  4.7773E-01  3.8029E-03  8.1828E-04  0.0000E+00  1.7549E-01  4.6435E-01  5.8372E-04
  1.8906E-01  1.7107E-01  4.6023E-01  3.7306E-03  9.3108E-04  0.0000E+00  1.6773E-01  4.4743E-01  5.4471E-04
  1.7707E-01  1.6456E-01  4.4566E-01  3.6624E-03  1.0122E-03  0.0000E+00  1.6133E-01  4.3335E-01  5.1338E-04
  1.6623E-01  1.5856E-01  4.3214E-01  3.5928E-03  1.0771E-03  0.0000E+00  1.5544E-01  4.2028E-01  4.8528E-04
  1.5812E-01  1.5400E-01  4.2178E-01  3.5355E-03  1.1205E-03  0.0000E+00  1.5097E-01  4.1026E-01  4.6434E-04
  1.3426E-01  1.4017E-01  3.8996E-01  3.3403E-03  1.2210E-03  0.0000E+00  1.3739E-01  3.7950E-01  4.0321E-04
  1.3426E-01  1.4017E-01  3.8996E-01  3.3403E-03  1.2210E-03  1.6796E-11  1.3739E-01  3.7950E-01  4.0321E-04
  1.2955E-01  1.3746E-01  3.8365E-01  3.2987E-03  1.2356E-03  4.9902E-05  1.3473E-01  3.7340E-01  3.9167E-04
  1.1667E-01  1.2981E-01  3.6571E-01  3.1744E-03  1.2671E-03  1.6124E-04  1.2724E-01  3.5605E-01  3.5981E-04
  1.0472E-01  1.2238E-01  3.4807E-01  3.0438E-03  1.2838E-03  2.5461E-04  1.1995E-01  3.3898E-01  3.2990E-04
  9.5009E-02  1.1607E-01  3.3292E-01  2.9255E-03  1.2874E-03  3.2232E-04  1.1376E-01  3.2432E-01  3.0528E-04
  8.6195E-02  1.1008E-01  3.1839E-01  2.8073E-03  1.2821E-03  3.7692E-04  1.0789E-01  3.1026E-01  2.8261E-04
  7.9557E-02  1.0538E-01  3.0689E-01  2.7107E-03  1.2722E-03  4.1337E-04  1.0329E-01  2.9913E-01  2.6529E-04
  7.2265E-02  9.9987E-02  2.9359E-01  2.5959E-03  1.2547E-03  4.4824E-04  9.8009E-02  2.8625E-01  2.4595E-04
  6.6426E-02  9.5483E-02  2.8236E-01  2.4967E-03  1.2353E-03  4.7197E-04  9.3598E-02  2.7538E-01  2.3020E-04
  6.1531E-02  9.1556E-02  2.7250E-01  2.4080E-03  1.2148E-03  4.8871E-04  8.9753E-02  2.6582E-01  2.1678E-04
  5.5901E-02  8.6841E-02  2.6055E-01  2.2987E-03  1.1859E-03  5.0394E-04  8.5136E-02  2.5424E-01  2.0106E-04
  5.1133E-02  8.2658E-02  2.4985E-01  2.1995E-03  1.1565E-03  5.1318E-04  8.1042E-02  2.4387E-01  1.8747E-04
  4.7083E-02  7.8948E-02  2.4028E-01  2.1097E-03  1.1274E-03  5.1806E-04  7.7409E-02  2.3459E-01  1.7569E-04
  4.3397E-02  7.5426E-02  2.3112E-01  2.0230E-03  1.0974E-03  5.1988E-04  7.3961E-02  2.2571E-01  1.6476E-04
  4.0106E-02  7.2150E-02  2.2254E-01  1.9411E-03  1.0674E-03  5.1917E-04  7.0754E-02  2.1738E-01  1.5482E-04
  3.7259E-02  6.9199E-02  2.1475E-01  1.8664E-03  1.0387E-03  5.1652E-04  6.7866E-02  2.0982E-01  1.4604E-04
  3.4783E-02  6.6540E-02  2.0767E-01  1.7983E-03  1.0114E-03  5.1262E-04  6.5262E-02  2.0295E-01  1.3828E-04
  3.2493E-02  6.3985E-02  2.0083E-01  1.7323E-03  9.8407E-04  5.0745E-04  6.2762E-02  1.9631E-01  1.3096E-04
  3.0407E-02  6.1578E-02  1.9435E-01  1.6695E-03  9.5725E-04  5.0139E-04  6.0405E-02  1.9001E-01  1.2418E-04
  2.8567E-02  5.9382E-02  1.8839E-01  1.6118E-03  9.3193E-04  4.9486E-04  5.8254E-02  1.8422E-01  1.1810E-04
  2.6946E-02  5.7384E-02  1.8294E-01  1.5590E-03  9.0820E-04  4.8808E-04  5.6298E-02  1.7893E-01  1.1266E-04
  2.5420E-02  5.5444E-02  1.7762E-01  1.5074E-03  8.8452E-04  4.8077E-04  5.4399E-02  1.7375E-01  1.0745E-04
  2.4013E-02  5.3600E-02  1.7253E-01  1.4581E-03  8.6145E-04  4.7314E-04  5.2593E-02  1.6881E-01  1.0257E-04
  2.2756E-02  5.1904E-02  1.6783E-01  1.4126E-03  8.3976E-04  4.6555E-04  5.0932E-02  1.6423E-01  9.8155E-05
  2.1635E-02  5.0348E-02  1.6349E-01  1.3706E-03  8.1948E-04  4.5812E-04  4.9410E-02  1.6001E-01  9.4157E-05
  2.0567E-02  4.8826E-02  1.5922E-01  1.3294E-03  7.9927E-04  4.5043E-04  4.7919E-02  1.5586E-01  9.0295E-05
  1.9569E-02  4.7368E-02  1.5512E-01  1.2899E-03  7.7960E-04  4.4266E-04  4.6491E-02  1.5187E-01  8.6642E-05
  1.8670E-02  4.6019E-02  1.5130E-01  1.2531E-03  7.6110E-04  4.3513E-04  4.5169E-02  1.4815E-01  8.3305E-05
  1.7860E-02  4.4774E-02  1.4776E-01  1.2191E-03  7.4380E-04  4.2788E-04  4.3950E-02  1.4471E-01  8.0261E-05
  1.7079E-02  4.3548E-02  1.4426E-01  1.1856E-03  7.2655E-04  4.2049E-04  4.2748E-02  1.4130E-01  7.7295E-05
  1.6347E-02  4.2369E-02  1.4088E-01  1.1533E-03  7.0975E-04  4.1313E-04  4.1594E-02  1.3801E-01  7.4480E-05
  1.5678E-02  4.1269E-02  1.3772E-01  1.1230E-03  6.9392E-04  4.0605E-04  4.0516E-02  1.3492E-01  7.1879E-05
  1.5073E-02  4.0252E-02  1.3477E-01  1.0950E-03  6.7911E-04  3.9930E-04  3.9519E-02  1.3206E-01  6.9500E-05
  1.4485E-02  3.9243E-02  1.3185E-01  1.0673E-03  6.6432E-04  3.9246E-04  3.8531E-02  1.2921E-01  6.7165E-05
  3.2323E-01  2.3514E-01  6.1478E-01  2.7112E-03  0.0000E+00  0.0000E+00  2.3348E-01  5.9908E-01  7.3553E-04
  2.9305E-01  2.1842E-01  5.7902E-01  2.8129E-03  0.0000E+00  0.0000E+00  2.1673E-01  5.6437E-01  6.5479E-04
  2.7133E-01  2.0670E-01  5.5354E-01  2.8548E-03  0.0000E+00  0.0000E+00  2.0500E-01  5.3964E-01  6.0072E-04
  2.4354E-01  1.9194E-01  5.2099E-01  2.8742E-03  0.0000E+00  0.0000E+00  1.9024E-01  5.0804E-01  5.3560E-04
  2.4354E-01  1.9194E-01  5.2099E-01  2.8742E-03  6.4103E-10  0.0000E+00  1.9024E-01  5.0804E-01  5.3560E-04
  2.2144E-01  1.8066E-01  4.9569E-01  2.8673E-03  2.3883E-04  0.0000E+00  1.7898E-01  4.8349E-01  4.8813E-04
  2.0194E-01  1.7058E-01  4.7280E-01  2.8408E-03  4.1516E-04  0.0000E+00  1.6892E-01  4.6126E-01  4.4731E-04
  1.8645E-01  1.6245E-01  4.5412E-01  2.8057E-03  5.3925E-04  0.0000E+00  1.6082E-01  4.4313E-01  4.1549E-04
  1.7268E-01  1.5511E-01  4.3708E-01  2.7637E-03  6.3759E-04  0.0000E+00  1.5351E-01  4.2658E-01  3.8759E-04
  1.5918E-01  1.4777E-01  4.1985E-01  2.7119E-03  7.2298E-04  0.0000E+00  1.4620E-01  4.0986E-01  3.6048E-04
  1.4830E-01  1.4173E-01  4.0556E-01  2.6622E-03  7.8366E-04  0.0000E+00  1.4019E-01  3.9598E-01  3.3879E-04
  1.3854E-01  1.3619E-01  3.9234E-01  2.6109E-03  8.3156E-04  0.0000E+00  1.3468E-01  3.8314E-01  3.1938E-04
  1.3127E-01  1.3199E-01  3.8224E-01  2.5685E-03  8.6318E-04  0.0000E+00  1.3051E-01  3.7333E-01  3.0496E-04
  1.1012E-01  1.1933E-01  3.5138E-01  2.4226E-03  9.3406E-04  0.0000E+00  1.1793E-01  3.4335E-01  2.6305E-04
  1.1012E-01  1.1933E-01  3.5138E-01  2.4226E-03  9.3406E-04  1.2695E-11  1.1793E-01  3.4335E-01  2.6305E-04
  1.0600E-01  1.1686E-01  3.4528E-01  2.3913E-03  9.4393E-04  3.7700E-05  1.1548E-01  3.3743E-01  2.5518E-04
  9.4798E-02  1.0992E-01  3.2801E-01  2.2978E-03  9.6398E-04  1.2130E-04  1.0860E-01  3.2064E-01  2.3349E-04
  8.4482E-02  1.0320E-01  3.1111E-01  2.1994E-03  9.7253E-04  1.9070E-04  1.0194E-01  3.0421E-01  2.1322E-04
  7.6173E-02  9.7525E-02  2.9665E-01  2.1102E-03  9.7163E-04  2.4048E-04  9.6316E-02  2.9015E-01  1.9660E-04
  6.8686E-02  9.2161E-02  2.8284E-01  2.0212E-03  9.6410E-04  2.8015E-04  9.1005E-02  2.7672E-01  1.8136E-04
  6.3084E-02  8.7967E-02  2.7194E-01  1.9484E-03  9.5380E-04  3.0629E-04  8.6855E-02  2.6612E-01  1.6975E-04
  5.6970E-02  8.3180E-02  2.5938E-01  1.8621E-03  9.3732E-04  3.3090E-04  8.2118E-02  2.5390E-01  1.5683E-04
  5.2106E-02  7.9193E-02  2.4882E-01  1.7876E-03  9.1992E-04  3.4731E-04  7.8176E-02  2.4362E-01  1.4635E-04
  4.8050E-02  7.5729E-02  2.3957E-01  1.7211E-03  9.0213E-04  3.5859E-04  7.4751E-02  2.3461E-01  1.3744E-04
  4.3415E-02  7.1585E-02  2.2840E-01  1.6393E-03  8.7760E-04  3.6845E-04  7.0655E-02  2.2374E-01  1.2704E-04
  3.9513E-02  6.7923E-02  2.1843E-01  1.5652E-03  8.5309E-04  3.7397E-04  6.7036E-02  2.1403E-01  1.1808E-04
  3.6218E-02  6.4685E-02  2.0954E-01  1.4982E-03  8.2924E-04  3.7639E-04  6.3838E-02  2.0537E-01  1.1035E-04
  3.3235E-02  6.1623E-02  2.0106E-01  1.4338E-03  8.0484E-04  3.7659E-04  6.0814E-02  1.9710E-01  1.0319E-04
  3.0586E-02  5.8784E-02  1.9314E-01  1.3730E-03  7.8066E-04  3.7501E-04  5.8010E-02  1.8937E-01  9.6689E-05
  2.8305E-02  5.6235E-02  1.8596E-01  1.3177E-03  7.5766E-04  3.7211E-04  5.5493E-02  1.8238E-01  9.0974E-05
  2.6331E-02  5.3944E-02  1.7947E-01  1.2673E-03  7.3602E-04  3.6840E-04  5.3231E-02  1.7604E-01  8.5930E-05
  2.4512E-02  5.1749E-02  1.7320E-01  1.2186E-03  7.1439E-04  3.6380E-04  5.1065E-02  1.6993E-01  8.1188E-05
  2.2862E-02  4.9687E-02  1.6727E-01  1.1724E-03  6.9331E-04  3.5861E-04  4.9029E-02  1.6415E-01  7.6807E-05
  2.1413E-02  4.7810E-02  1.6184E-01  1.1300E-03  6.7351E-04  3.5316E-04  4.7177E-02  1.5884E-01  7.2886E-05
  2.0141E-02  4.6107E-02  1.5689E-01  1.0913E-03  6.5503E-04  3.4761E-04  4.5496E-02  1.5400E-01  6.9384E-05
  1.8947E-02  4.4457E-02  1.5205E-01  1.0535E-03  6.3667E-04  3.4170E-04  4.3868E-02  1.4928E-01  6.6041E-05
  1.7850E-02  4.2893E-02  1.4744E-01  1.0175E-03  6.1884E-04  3.3561E-04  4.2324E-02  1.4478E-01  6.2919E-05
  1.6874E-02  4.1457E-02  1.4319E-01  9.8422E-04  6.0214E-04  3.2961E-04  4.0907E-02  1.4063E-01  6.0094E-05
  1.6005E-02  4.0143E-02  1.3928E-01  9.5366E-04  5.8657E-04  3.2378E-04  3.9611E-02  1.3680E-01  5.7543E-05
  1.5180E-02  3.8860E-02  1.3543E-01  9.2370E-04  5.7111E-04  3.1778E-04  3.8345E-02  1.3305E-01  5.5084E-05
  1.4411E-02  3.7633E-02  1.3174E-01  8.9495E-04  5.5609E-04  3.1177E-04  3.7135E-02  1.2944E-01  5.2762E-05
  1.3721E-02  3.6500E-02  1.2831E-01  8.6831E-04  5.4202E-04  3.0596E-04  3.6017E-02  1.2609E-01  5.0644E-05
  1.3100E-02  3.5457E-02  1.2514E-01  8.4370E-04  5.2889E-04  3.0041E-04  3.4987E-02  1.2298E-01  4.8717E-05
  1.2503E-02  3.4430E-02  1.2201E-01  8.1944E-04  5.1583E-04  2.9476E-04  3.3975E-02  1.1992E-01  4.6841E-05
  1.1945E-02  3.3446E-02  1.1899E-01  7.9610E-04  5.0314E-04  2.8916E-04  3.3004E-02  1.1697E-01  4.5064E-05
  1.1436E-02  3.2529E-02  1.1616E-01  7.7432E-04  4.9121E-04  2.8380E-04  3.2099E-02  1.1420E-01  4.3424E-05
  1.0977E-02  3.1682E-02  1.1354E-01  7.5416E-04  4.8007E-04  2.7870E-04  3.1264E-02  1.1164E-01  4.1928E-05
  1.0531E-02  3.0844E-02  1.1094E-01  7.3419E-04  4.6897E-04  2.7355E-04  3.0437E-02  1.0909E-01  4.0460E-05
  2.8940E-01  2.0726E-01  5.7192E-01  1.8671E-03  0.0000E+00  0.0000E+00  2.0740E-01  5.5949E-01  4.9096E-04
  2.5938E-01  1.9142E-01  5.3605E-01  1.9698E-03  0.0000E+00  0.0000E+00  1.9136E-01  5.2453E-01  4.3467E-04
  2.3817E-01  1.8038E-01  5.1065E-01  2.0165E-03  0.0000E+00  0.0000E+00  1.8020E-01  4.9977E-01  3.9716E-04
  2.1148E-01  1.6657E-01  4.7836E-01  2.0468E-03  0.0000E+00  0.0000E+00  1.6625E-01  4.6830E-01  3.5222E-04
  2.1148E-01  1.6657E-01  4.7836E-01  2.0468E-03  5.0256E-10  0.0000E+00  1.6625E-01  4.6830E-01  3.5222E-04
  1.9066E-01  1.5608E-01  4.5343E-01  2.0513E-03  1.8662E-04  0.0000E+00  1.5568E-01  4.4400E-01  3.1962E-04
  1.7251E-01  1.4676E-01  4.3098E-01  2.0384E-03  3.2306E-04  0.0000E+00  1.4629E-01  4.2210E-01  2.9172E-04
  1.5824E-01  1.3928E-01  4.1273E-01  2.0166E-03  4.1815E-04  0.0000E+00  1.3877E-01  4.0431E-01  2.7005E-04
  1.4567E-01  1.3255E-01  3.9614E-01  1.9885E-03  4.9278E-04  0.0000E+00  1.3200E-01  3.8813E-01  2.5112E-04
  1.3344E-01  1.2584E-01  3.7945E-01  1.9524E-03  5.5687E-04  0.0000E+00  1.2527E-01  3.7184E-01  2.3279E-04
  1.2366E-01  1.2035E-01  3.6564E-01  1.9170E-03  6.0185E-04  0.0000E+00  1.1976E-01  3.5837E-01  2.1816E-04
  1.1494E-01  1.1533E-01  3.5290E-01  1.8800E-03  6.3687E-04  0.0000E+00  1.1474E-01  3.4595E-01  2.0512E-04
  1.0849E-01  1.1154E-01  3.4320E-01  1.8490E-03  6.5965E-04  0.0000E+00  1.1093E-01  3.3648E-01  1.9545E-04
  8.9895E-02  1.0015E-01  3.1369E-01  1.7416E-03  7.0890E-04  0.0000E+00  9.9540E-02  3.0768E-01  1.6748E-04
  8.9895E-02  1.0015E-01  3.1369E-01  1.7416E-03  7.0890E-04  9.5270E-12  9.9540E-02  3.0768E-01  1.6748E-04
  8.6319E-02  9.7943E-02  3.0788E-01  1.7185E-03  7.1537E-04  2.8278E-05  9.7332E-02  3.0201E-01  1.6225E-04
  7.6648E-02  9.1754E-02  2.9149E-01  1.6491E-03  7.2756E-04  9.0595E-05  9.1147E-02  2.8601E-01  1.4788E-04
  6.7818E-02  8.5798E-02  2.7552E-01  1.5759E-03  7.3093E-04  1.4181E-04  8.5200E-02  2.7041E-01  1.3450E-04
  6.0761E-02  8.0782E-02  2.6190E-01  1.5094E-03  7.2753E-04  1.7813E-04  8.0196E-02  2.5711E-01  1.2358E-04
  5.4450E-02  7.6065E-02  2.4895E-01  1.4431E-03  7.1922E-04  2.0672E-04  7.5493E-02  2.4446E-01  1.1359E-04
  4.9760E-02  7.2392E-02  2.3877E-01  1.3889E-03  7.0940E-04  2.2530E-04  7.1833E-02  2.3450E-01  1.0602E-04
  4.4672E-02  6.8214E-02  2.2707E-01  1.3247E-03  6.9466E-04  2.4251E-04  6.7672E-02  2.2307E-01  9.7614E-05
  4.0651E-02  6.4747E-02  2.1727E-01  1.2694E-03  6.7964E-04  2.5371E-04  6.4222E-02  2.1348E-01  9.0817E-05
  3.7318E-02  6.1746E-02  2.0870E-01  1.2200E-03  6.6464E-04  2.6120E-04  6.1235E-02  2.0511E-01  8.5060E-05
  3.3530E-02  5.8168E-02  1.9839E-01  1.1595E-03  6.4431E-04  2.6742E-04  5.7677E-02  1.9502E-01  7.8360E-05
  3.0361E-02  5.5018E-02  1.8923E-01  1.1047E-03  6.2431E-04  2.7053E-04  5.4545E-02  1.8605E-01  7.2607E-05
  2.7701E-02  5.2243E-02  1.8107E-01  1.0553E-03  6.0506E-04  2.7145E-04  5.1788E-02  1.7808E-01  6.7654E-05
  2.5306E-02  4.9627E-02  1.7332E-01  1.0079E-03  5.8555E-04  2.7079E-04  4.9189E-02  1.7049E-01  6.3085E-05
  2.3189E-02  4.7210E-02  1.6610E-01  9.6323E-04  5.6637E-04  2.6888E-04  4.6788E-02  1.6341E-01  5.8950E-05
  2.1376E-02  4.5046E-02  1.5957E-01  9.2266E-04  5.4825E-04  2.6609E-04  4.4639E-02  1.5703E-01  5.5324E-05
  1.9814E-02  4.3106E-02  1.5368E-01  8.8584E-04  5.3130E-04  2.6278E-04  4.2713E-02  1.5125E-01  5.2131E-05
  1.8380E-02  4.1254E-02  1.4802E-01  8.5027E-04  5.1445E-04  2.5887E-04  4.0875E-02  1.4570E-01  4.9138E-05
  1.7086E-02  3.9517E-02  1.4267E-01  8.1659E-04  4.9812E-04  2.5458E-04  3.9152E-02  1.4046E-01  4.6379E-05
  1.5953E-02  3.7942E-02  1.3778E-01  7.8577E-04  4.8286E-04  2.5017E-04  3.7588E-02  1.3566E-01  4.3915E-05
  1.4962E-02  3.6515E-02  1.3332E-01  7.5763E-04  4.6865E-04  2.4573E-04  3.6173E-02  1.3129E-01  4.1720E-05
  1.4036E-02  3.5136E-02  1.2899E-01  7.3024E-04  4.5458E-04  2.4106E-04  3.4805E-02  1.2705E-01  3.9629E-05
  1.3187E-02  3.3831E-02  1.2486E-01  7.0416E-04  4.4098E-04  2.3628E-04  3.3511E-02  1.2300E-01  3.7679E-05
  1.2435E-02  3.2637E-02  1.2106E-01  6.8014E-04  4.2827E-04  2.3162E-04  3.2326E-02  1.1927E-01  3.5920E-05
  1.1767E-02  3.1546E-02  1.1757E-01  6.5810E-04  4.1647E-04  2.2712E-04  3.1245E-02  1.1585E-01  3.4334E-05
  1.1134E-02  3.0483E-02  1.1415E-01  6.3652E-04  4.0477E-04  2.2252E-04  3.0190E-02  1.1249E-01  3.2807E-05
  1.0547E-02  2.9468E-02  1.1087E-01  6.1585E-04  3.9345E-04  2.1792E-04  2.9184E-02  1.0927E-01  3.1369E-05
  1.0020E-02  2.8533E-02  1.0783E-01  5.9672E-04  3.8287E-04  2.1351E-04  2.8258E-02  1.0629E-01  3.0060E-05
  9.5484E-03  2.7674E-02  1.0502E-01  5.7908E-04  3.7302E-04  2.0931E-04  2.7405E-02  1.0353E-01  2.8870E-05
  9.0957E-03  2.6830E-02  1.0225E-01  5.6170E-04  3.6324E-04  2.0506E-04  2.6569E-02  1.0081E-01  2.7714E-05
  8.6734E-03  2.6022E-02  9.9584E-02  5.4502E-04  3.5377E-04  2.0086E-04  2.5768E-02  9.8191E-02  2.6621E-05
  8.2889E-03  2.5270E-02  9.7094E-02  5.2946E-04  3.4488E-04  1.9685E-04  2.5023E-02  9.5745E-02  2.5614E-05
  7.9430E-03  2.4577E-02  9.4787E-02  5.1509E-04  3.3660E-04  1.9305E-04  2.4336E-02  9.3479E-02  2.4696E-05
  7.6079E-03  2.3893E-02  9.2500E-02  5.0087E-04  3.2835E-04  1.8922E-04  2.3658E-02  9.1231E-02  2.3797E-05
  2.5786E-01  1.7992E-01  5.2691E-01  1.2593E-03  0.0000E+00  0.0000E+00  1.8092E-01  5.1738E-01  3.1965E-04
  2.2846E-01  1.6521E-01  4.9150E-01  1.3573E-03  0.0000E+00  0.0000E+00  1.6593E-01  4.8272E-01  2.8149E-04
  2.0804E-01  1.5502E-01  4.6655E-01  1.4045E-03  0.0000E+00  0.0000E+00  1.5557E-01  4.5830E-01  2.5619E-04
  1.8272E-01  1.4234E-01  4.3502E-01  1.4400E-03  0.0000E+00  0.0000E+00  1.4270E-01  4.2743E-01  2.2601E-04
  1.8272E-01  1.4234E-01  4.3502E-01  1.4400E-03  3.9013E-10  0.0000E+00  1.4270E-01  4.2743E-01  2.2601E-04
  1.6334E-01  1.3278E-01  4.1081E-01  1.4513E-03  1.4441E-04  0.0000E+00  1.3301E-01  4.0372E-01  2.0423E-04
  1.4662E-01  1.2433E-01  3.8910E-01  1.4475E-03  2.4897E-04  0.0000E+00  1.2445E-01  3.8246E-01  1.8567E-04
  1.3360E-01  1.1758E-01  3.7153E-01  1.4351E-03  3.2116E-04  0.0000E+00  1.1762E-01  3.6525E-01  1.7132E-04
  1.2223E-01  1.1153E-01  3.5562E-01  1.4171E-03  3.7726E-04  0.0000E+00  1.1151E-01  3.4967E-01  1.5881E-04
  1.1126E-01  1.0552E-01  3.3965E-01  1.3926E-03  4.2489E-04  0.0000E+00  1.0545E-01  3.3403E-01  1.4675E-04
  1.0255E-01  1.0062E-01  3.2650E-01  1.3679E-03  4.5789E-04  0.0000E+00  1.0052E-01  3.2113E-01  1.3715E-04
  9.4840E-02  9.6162E-02  3.1440E-01  1.3415E-03  4.8321E-04  0.0000E+00  9.6024E-02  3.0928E-01  1.2862E-04
  8.9162E-02  9.2797E-02  3.0520E-01  1.3193E-03  4.9943E-04  0.0000E+00  9.2638E-02  3.0027E-01  1.2231E-04
  7.2969E-02  8.2758E-02  2.7737E-01  1.2413E-03  5.3307E-04  0.0000E+00  8.2545E-02  2.7299E-01  1.0413E-04
  7.2969E-02  8.2758E-02  2.7737E-01  1.2413E-03  5.3307E-04  7.0910E-12  8.2545E-02  2.7299E-01  1.0413E-04
  6.9893E-02  8.0821E-02  2.7192E-01  1.2244E-03  5.3718E-04  2.1037E-05  8.0599E-02  2.6764E-01  1.0074E-04
  6.1614E-02  7.5408E-02  2.5657E-01  1.1735E-03  5.4409E-04  6.7113E-05  7.5166E-02  2.5259E-01  9.1472E-05
  5.4119E-02  7.0223E-02  2.4167E-01  1.1196E-03  5.4434E-04  1.0459E-04  6.9967E-02  2.3798E-01  8.2870E-05
  4.8177E-02  6.5877E-02  2.2902E-01  1.0706E-03  5.3980E-04  1.3087E-04  6.5613E-02  2.2557E-01  7.5877E-05
  4.2902E-02  6.1807E-02  2.1703E-01  1.0218E-03  5.3168E-04  1.5130E-04  6.1539E-02  2.1381E-01  6.9508E-05
  3.9007E-02  5.8649E-02  2.0764E-01  9.8187E-04  5.2285E-04  1.6438E-04  5.8379E-02  2.0459E-01  6.4690E-05
  3.4810E-02  5.5071E-02  1.9688E-01  9.3459E-04  5.1016E-04  1.7628E-04  5.4802E-02  1.9403E-01  5.9365E-05
  3.1514E-02  5.2114E-02  1.8789E-01  8.9393E-04  4.9760E-04  1.8383E-04  5.1847E-02  1.8521E-01  5.5071E-05
  2.8797E-02  4.9561E-02  1.8007E-01  8.5771E-04  4.8525E-04  1.8871E-04  4.9297E-02  1.7752E-01  5.1444E-05
  2.5728E-02  4.6529E-02  1.7067E-01  8.1333E-04  4.6878E-04  1.9251E-04  4.6271E-02  1.6830E-01  4.7237E-05
  2.3177E-02  4.3870E-02  1.6235E-01  7.7326E-04  4.5277E-04  1.9410E-04  4.3618E-02  1.6012E-01  4.3636E-05
  2.1047E-02  4.1536E-02  1.5497E-01  7.3721E-04  4.3751E-04  1.9417E-04  4.1289E-02  1.5287E-01  4.0545E-05
  1.9140E-02  3.9343E-02  1.4797E-01  7.0262E-04  4.2217E-04  1.9312E-04  3.9103E-02  1.4599E-01  3.7703E-05
  1.7463E-02  3.7322E-02  1.4147E-01  6.7017E-04  4.0720E-04  1.9121E-04  3.7089E-02  1.3960E-01  3.5138E-05
  1.6035E-02  3.5519E-02  1.3561E-01  6.4073E-04  3.9316E-04  1.8872E-04  3.5292E-02  1.3384E-01  3.2894E-05
  1.4808E-02  3.3908E-02  1.3034E-01  6.1406E-04  3.8008E-04  1.8592E-04  3.3687E-02  1.2865E-01  3.0923E-05
  1.3689E-02  3.2373E-02  1.2527E-01  5.8835E-04  3.6715E-04  1.8271E-04  3.2158E-02  1.2367E-01  2.9081E-05
  1.2682E-02  3.0938E-02  1.2050E-01  5.6405E-04  3.5467E-04  1.7925E-04  3.0730E-02  1.1898E-01  2.7386E-05
  1.1804E-02  2.9639E-02  1.1615E-01  5.4184E-04  3.4304E-04  1.7575E-04  2.9436E-02  1.1470E-01  2.5877E-05
  1.1038E-02  2.8466E-02  1.1220E-01  5.2161E-04  3.3227E-04  1.7228E-04  2.8269E-02  1.1081E-01  2.4534E-05
  1.0326E-02  2.7335E-02  1.0836E-01  5.0195E-04  3.2165E-04  1.6865E-04  2.7143E-02  1.0703E-01  2.3258E-05
  9.6749E-03  2.6267E-02  1.0471E-01  4.8327E-04  3.1141E-04  1.6499E-04  2.6081E-02  1.0344E-01  2.2071E-05
  9.0996E-03  2.5291E-02  1.0136E-01  4.6609E-04  3.0187E-04  1.6143E-04  2.5110E-02  1.0014E-01  2.1002E-05
  8.5909E-03  2.4402E-02  9.8285E-02  4.5035E-04  2.9304E-04  1.5801E-04  2.4226E-02  9.7112E-02  2.0040E-05
  8.1101E-03  2.3537E-02  9.5278E-02  4.3497E-04  2.8431E-04  1.5454E-04  2.3366E-02  9.4151E-02  1.9116E-05
  7.6649E-03  2.2714E-02  9.2399E-02  4.2025E-04  2.7588E-04  1.5109E-04  2.2547E-02  9.1315E-02  1.8246E-05
  7.2671E-03  2.1956E-02  8.9735E-02  4.0665E-04  2.6802E-04  1.4779E-04  2.1793E-02  8.8691E-02  1.7456E-05
  6.9113E-03  2.1261E-02  8.7279E-02  3.9413E-04  2.6073E-04  1.4466E-04  2.1102E-02  8.6270E-02  1.6740E-05
  6.5708E-03  2.0579E-02  8.4859E-02  3.8181E-04  2.5350E-04  1.4150E-04  2.0425E-02  8.3886E-02  1.6044E-05
  6.2540E-03  1.9928E-02  8.2534E-02  3.7001E-04  2.4651E-04  1.3839E-04  1.9777E-02  8.1595E-02  1.5388E-05
  5.9661E-03  1.9323E-02  8.0365E-02  3.5901E-04  2.3997E-04  1.3543E-04  1.9176E-02  7.9458E-02  1.4784E-05
  5.7079E-03  1.8767E-02  7.8360E-02  3.4887E-04  2.3389E-04  1.3264E-04  1.8623E-02  7.7481E-02  1.4235E-05
  5.4581E-03  1.8218E-02  7.6373E-02  3.3884E-04  2.2785E-04  1.2983E-04  1.8078E-02  7.5523E-02  1.3698E-05
  2.2846E-01  1.5367E-01  4.8074E-01  8.3018E-04  0.0000E+00  0.0000E+00  1.5494E-01  4.7366E-01  2.0251E-04
  2.0009E-01  1.4028E-01  4.4628E-01  9.1925E-04  0.0000E+00  0.0000E+00  1.4127E-01  4.3980E-01  1.7738E-04
  1.8068E-01  1.3106E-01  4.2213E-01  9.6378E-04  0.0000E+00  0.0000E+00  1.3187E-01  4.1606E-01  1.6080E-04
  1.5696E-01  1.1967E-01  3.9176E-01  1.0000E-03  0.0000E+00  0.0000E+00  1.2027E-01  3.8621E-01  1.4112E-04
  1.5696E-01  1.1967E-01  3.9176E-01  1.0000E-03  2.9935E-10  0.0000E+00  1.2027E-01  3.8621E-01  1.4112E-04
  1.3911E-01  1.1113E-01  3.6858E-01  1.0146E-03  1.1047E-04  0.0000E+00  1.1158E-01  3.6341E-01  1.2699E-04
  1.2387E-01  1.0361E-01  3.4788E-01  1.0162E-03  1.8969E-04  0.0000E+00  1.0396E-01  3.4306E-01  1.1500E-04
  1.1212E-01  9.7638E-02  3.3120E-01  1.0101E-03  2.4387E-04  0.0000E+00  9.7903E-02  3.2666E-01  1.0576E-04
  1.0194E-01  9.2306E-02  3.1614E-01  9.9903E-04  2.8556E-04  0.0000E+00  9.2505E-02  3.1184E-01  9.7737E-05
  9.2192E-02  8.7037E-02  3.0108E-01  9.8285E-04  3.2055E-04  0.0000E+00  8.7175E-02  2.9703E-01  9.0022E-05
  8.4513E-02  8.2753E-02  2.8871E-01  9.6590E-04  3.4448E-04  0.0000E+00  8.2847E-02  2.8487E-01  8.3905E-05
  7.7755E-02  7.8866E-02  2.7737E-01  9.4748E-04  3.6255E-04  0.0000E+00  7.8923E-02  2.7371E-01  7.8481E-05
  7.2807E-02  7.5942E-02  2.6877E-01  9.3177E-04  3.7392E-04  0.0000E+00  7.5973E-02  2.6525E-01  7.4479E-05
  5.8835E-02  6.7262E-02  2.4286E-01  8.7578E-04  3.9641E-04  0.0000E+00  6.7227E-02  2.3975E-01  6.3003E-05
  5.8835E-02  6.7262E-02  2.4286E-01  8.7578E-04  3.9641E-04  5.2264E-12  6.7227E-02  2.3975E-01  6.3003E-05
  5.6212E-02  6.5596E-02  2.3781E-01  8.6356E-04  3.9891E-04  1.5499E-05  6.5549E-02  2.3478E-01  6.0873E-05
  4.9188E-02  6.0954E-02  2.2361E-01  8.2662E-04  4.0240E-04  4.9225E-05  6.0879E-02  2.2081E-01  5.5059E-05
  4.2884E-02  5.6529E-02  2.0989E-01  7.8740E-04  4.0090E-04  7.6374E-05  5.6432E-02  2.0730E-01  4.9687E-05
  3.7927E-02  5.2836E-02  1.9829E-01  7.5173E-04  3.9608E-04  9.5188E-05  5.2724E-02  1.9588E-01  4.5336E-05
  3.3557E-02  4.9391E-02  1.8734E-01  7.1610E-04  3.8869E-04  1.0962E-04  4.9269E-02  1.8510E-01  4.1388E-05
  3.0352E-02  4.6730E-02  1.7878E-01  6.8703E-04  3.8109E-04  1.1872E-04  4.6600E-02  1.7667E-01  3.8412E-05
  2.6922E-02  4.3724E-02  1.6902E-01  6.5262E-04  3.7051E-04  1.2684E-04  4.3589E-02  1.6704E-01  3.5132E-05
  2.4244E-02  4.1250E-02  1.6088E-01  6.2306E-04  3.6025E-04  1.3184E-04  4.1111E-02  1.5903E-01  3.2496E-05
  2.2050E-02  3.9121E-02  1.5382E-01  5.9676E-04  3.5033E-04  1.3494E-04  3.8980E-02  1.5207E-01  3.0276E-05
  1.9586E-02  3.6601E-02  1.4537E-01  5.6459E-04  3.3725E-04  1.3716E-04  3.6460E-02  1.4374E-01  2.7709E-05
  1.7551E-02  3.4400E-02  1.3791E-01  5.3561E-04  3.2468E-04  1.3783E-04  3.4259E-02  1.3638E-01  2.5519E-05
  1.5862E-02  3.2474E-02  1.3131E-01  5.0958E-04  3.1280E-04  1.3746E-04  3.2334E-02  1.2987E-01  2.3645E-05
  1.4358E-02  3.0670E-02  1.2507E-01  4.8467E-04  3.0096E-04  1.3631E-04  3.0532E-02  1.2372E-01  2.1927E-05
  1.3043E-02  2.9013E-02  1.1928E-01  4.6133E-04  2.8947E-04  1.3457E-04  2.8877E-02  1.1802E-01  2.0380E-05
  1.1928E-02  2.7540E-02  1.1409E-01  4.4021E-04  2.7875E-04  1.3246E-04  2.7407E-02  1.1289E-01  1.9031E-05
  1.0975E-02  2.6226E-02  1.0942E-01  4.2112E-04  2.6882E-04  1.3017E-04  2.6095E-02  1.0829E-01  1.7849E-05
  1.0108E-02  2.4979E-02  1.0496E-01  4.0274E-04  2.5905E-04  1.2760E-04  2.4851E-02  1.0388E-01  1.6747E-05
  9.3324E-03  2.3816E-02  1.0076E-01  3.8541E-04  2.4966E-04  1.2489E-04  2.3691E-02  9.9733E-02  1.5735E-05
  8.6584E-03  2.2765E-02  9.6935E-02  3.6959E-04  2.4094E-04  1.2217E-04  2.2643E-02  9.5961E-02  1.4836E-05
  8.0733E-03  2.1819E-02  9.3467E-02  3.5522E-04  2.3290E-04  1.1951E-04  2.1699E-02  9.2538E-02  1.4039E-05
  7.5303E-03  2.0908E-02  9.0109E-02  3.4127E-04  2.2499E-04  1.1676E-04  2.0792E-02  8.9221E-02  1.3282E-05
  7.0363E-03  2.0051E-02  8.6924E-02  3.2804E-04  2.1739E-04  1.1399E-04  1.9937E-02  8.6076E-02  1.2580E-05
  6.6009E-03  1.9269E-02  8.4002E-02  3.1590E-04  2.1033E-04  1.1131E-04  1.9158E-02  8.3190E-02  1.1948E-05
  6.2172E-03  1.8558E-02  8.1328E-02  3.0479E-04  2.0382E-04  1.0876E-04  1.8450E-02  8.0549E-02  1.1381E-05
  5.8553E-03  1.7868E-02  7.8716E-02  2.9395E-04  1.9739E-04  1.0618E-04  1.7762E-02  7.7969E-02  1.0837E-05
  5.5213E-03  1.7212E-02  7.6220E-02  2.8359E-04  1.9121E-04  1.0363E-04  1.7109E-02  7.5502E-02  1.0326E-05
  5.2237E-03  1.6610E-02  7.3915E-02  2.7404E-04  1.8546E-04  1.0120E-04  1.6509E-02  7.3225E-02  9.8634E-06
  4.9581E-03  1.6058E-02  7.1792E-02  2.6525E-04  1.8013E-04  9.8902E-05  1.5960E-02  7.1127E-02  9.4439E-06
  4.7046E-03  1.5519E-02  6.9704E-02  2.5663E-04  1.7486E-04  9.6591E-05  1.5422E-02  6.9063E-02  9.0376E-06
  4.4694E-03  1.5004E-02  6.7701E-02  2.4837E-04  1.6978E-04  9.4323E-05  1.4910E-02  6.7084E-02  8.6546E-06
  4.2560E-03  1.4526E-02  6.5835E-02  2.4069E-04  1.6503E-04  9.2172E-05  1.4434E-02  6.5240E-02  8.3028E-06
  4.0650E-03  1.4088E-02  6.4113E-02  2.3361E-04  1.6063E-04  9.0147E-05  1.3998E-02  6.3537E-02  7.9832E-06
  3.8805E-03  1.3656E-02  6.2409E-02  2.2663E-04  1.5626E-04  8.8115E-05  1.3568E-02  6.1852E-02  7.6712E-06
  2.0112E-01  1.2896E-01  4.3425E-01  5.3387E-04  0.0000E+00  0.0000E+00  1.3018E-01  4.2917E-01  1.2457E-04
  1.7411E-01  1.1703E-01  4.0118E-01  6.1134E-04  0.0000E+00  0.0000E+00  1.1799E-01  3.9655E-01  1.0853E-04
  1.5589E-01  1.0887E-01  3.7812E-01  6.5106E-04  0.0000E+00  0.0000E+00  1.0966E-01  3.7381E-01  9.7996E-05
  1.3394E-01  9.8843E-02  3.4927E-01  6.8497E-04  0.0000E+00  0.0000E+00  9.9446E-02  3.4534E-01  8.5551E-05
  1.3394E-01  9.8843E-02  3.4927E-01  6.8497E-04  2.2658E-10  0.0000E+00  9.9446E-02  3.4534E-01  8.5551E-05
  1.1767E-01  9.1370E-02  3.2736E-01  7.0023E-04  8.3364E-05  0.0000E+00  9.1845E-02  3.2372E-01  7.6663E-05
  1.0394E-01  8.4831E-02  3.0789E-01  7.0477E-04  1.4260E-04  0.0000E+00  8.5205E-02  3.0450E-01  6.9152E-05
  9.3438E-02  7.9655E-02  2.9226E-01  7.0249E-04  1.8273E-04  0.0000E+00  7.9954E-02  2.8907E-01  6.3385E-05
  8.4415E-02  7.5053E-02  2.7819E-01  6.9606E-04  2.1331E-04  0.0000E+00  7.5292E-02  2.7519E-01  5.8395E-05
  7.5842E-02  7.0524E-02  2.6418E-01  6.8562E-04  2.3867E-04  0.0000E+00  7.0708E-02  2.6136E-01  5.3612E-05
  6.9138E-02  6.6855E-02  2.5270E-01  6.7420E-04  2.5577E-04  0.0000E+00  6.6998E-02  2.5002E-01  4.9832E-05
  6.3276E-02  6.3537E-02  2.4221E-01  6.6149E-04  2.6847E-04  0.0000E+00  6.3646E-02  2.3967E-01  4.6489E-05
  5.9008E-02  6.1048E-02  2.3427E-01  6.5051E-04  2.7631E-04  0.0000E+00  6.1133E-02  2.3183E-01  4.4028E-05
  4.7072E-02  5.3698E-02  2.1046E-01  6.1080E-04  2.9096E-04  0.0000E+00  5.3721E-02  2.0832E-01  3.7003E-05
  4.7072E-02  5.3698E-02  2.1046E-01  6.1080E-04  2.9096E-04  3.8061E-12  5.3721E-02  2.0832E-01  3.7003E-05
  4.4856E-02  5.2294E-02  2.0583E-01  6.0207E-04  2.9238E-04  1.1281E-05  5.2306E-02  2.0375E-01  3.5705E-05
  3.8957E-02  4.8394E-02  1.9288E-01  5.7557E-04  2.9374E-04  3.5678E-05  4.8380E-02  1.9096E-01  3.2170E-05
  3.3706E-02  4.4694E-02  1.8041E-01  5.4736E-04  2.9143E-04  5.5111E-05  4.4659E-02  1.7864E-01  2.8918E-05
  2.9610E-02  4.1620E-02  1.6991E-01  5.2166E-04  2.8685E-04  6.8412E-05  4.1570E-02  1.6827E-01  2.6294E-05
  2.6027E-02  3.8765E-02  1.6003E-01  4.9598E-04  2.8045E-04  7.8461E-05  3.8703E-02  1.5851E-01  2.3921E-05
  2.3416E-02  3.6566E-02  1.5233E-01  4.7505E-04  2.7413E-04  8.4711E-05  3.6497E-02  1.5090E-01  2.2138E-05
  2.0639E-02  3.4093E-02  1.4358E-01  4.5030E-04  2.6556E-04  9.0162E-05  3.4017E-02  1.4225E-01  2.0180E-05
  1.8487E-02  3.2065E-02  1.3631E-01  4.2907E-04  2.5740E-04  9.3415E-05  3.1984E-02  1.3506E-01  1.8611E-05
  1.6733E-02  3.0325E-02  1.3001E-01  4.1021E-04  2.4960E-04  9.5331E-05  3.0241E-02  1.2884E-01  1.7294E-05
  1.4775E-02  2.8273E-02  1.2251E-01  3.8718E-04  2.3943E-04  9.6540E-05  2.8187E-02  1.2142E-01  1.5775E-05
  1.3169E-02  2.6487E-02  1.1590E-01  3.6647E-04  2.2976E-04  9.6687E-05  2.6400E-02  1.1488E-01  1.4484E-05
  1.1843E-02  2.4930E-02  1.1007E-01  3.4791E-04  2.2069E-04  9.6126E-05  2.4843E-02  1.0912E-01  1.3382E-05
  1.0670E-02  2.3477E-02  1.0458E-01  3.3019E-04  2.1170E-04  9.5028E-05  2.3390E-02  1.0369E-01  1.2375E-05
  9.6484E-03  2.2146E-02  9.9503E-02  3.1362E-04  2.0304E-04  9.3541E-05  2.2060E-02  9.8665E-02  1.1471E-05
  8.7870E-03  2.0966E-02  9.4956E-02  2.9866E-04  1.9500E-04  9.1827E-05  2.0881E-02  9.4167E-02  1.0685E-05
  8.0541E-03  1.9917E-02  9.0880E-02  2.8516E-04  1.8759E-04  9.0009E-05  1.9833E-02  9.0133E-02  9.9976E-06
  7.3911E-03  1.8924E-02  8.6986E-02  2.7220E-04  1.8033E-04  8.8015E-05  1.8841E-02  8.6279E-02  9.3583E-06
  6.7999E-03  1.7999E-02  8.3334E-02  2.5999E-04  1.7338E-04  8.5936E-05  1.7918E-02  8.2665E-02  8.7731E-06
  6.2891E-03  1.7167E-02  8.0020E-02  2.4888E-04  1.6695E-04  8.3877E-05  1.7088E-02  7.9384E-02  8.2542E-06
  5.8475E-03  1.6419E-02  7.7018E-02  2.3880E-04  1.6104E-04  8.1875E-05  1.6341E-02  7.6412E-02  7.7947E-06
  5.4378E-03  1.5701E-02  7.4116E-02  2.2903E-04  1.5525E-04  7.9818E-05  1.5625E-02  7.3539E-02  7.3598E-06
  5.0666E-03  1.5026E-02  7.1370E-02  2.1979E-04  1.4970E-04  7.7767E-05  1.4952E-02  7.0820E-02  6.9568E-06
  4.7404E-03  1.4413E-02  6.8856E-02  2.1131E-04  1.4456E-04  7.5794E-05  1.4340E-02  6.8330E-02  6.5953E-06
  4.4539E-03  1.3856E-02  6.6559E-02  2.0358E-04  1.3983E-04  7.3925E-05  1.3784E-02  6.6055E-02  6.2713E-06
  4.1845E-03  1.3316E-02  6.4319E-02  1.9604E-04  1.3518E-04  7.2040E-05  1.3246E-02  6.3837E-02  5.9611E-06
  3.9366E-03  1.2804E-02  6.2182E-02  1.8885E-04  1.3071E-04  7.0184E-05  1.2736E-02  6.1720E-02  5.6703E-06
  3.7163E-03  1.2335E-02  6.0212E-02  1.8222E-04  1.2656E-04  6.8416E-05  1.2268E-02  5.9768E-02  5.4071E-06
  3.5203E-03  1.1906E-02  5.8401E-02  1.7616E-04  1.2275E-04  6.6774E-05  1.1841E-02  5.7974E-02  5.1690E-06
  3.3335E-03  1.1487E-02  5.6622E-02  1.7020E-04  1.1897E-04  6.5114E-05  1.1424E-02  5.6211E-02  4.9389E-06
  3.1608E-03  1.1088E-02  5.4919E-02  1.6450E-04  1.1533E-04  6.3487E-05  1.1026E-02  5.4523E-02  4.7223E-06
  3.0044E-03  1.0719E-02  5.3334E-02  1.5921E-04  1.1194E-04  6.1947E-05  1.0658E-02  5.2953E-02  4.5236E-06
  2.8647E-03  1.0380E-02  5.1873E-02  1.5434E-04  1.0880E-04  6.0503E-05  1.0321E-02  5.1505E-02  4.3434E-06
  2.7302E-03  1.0047E-02  5.0430E-02  1.4955E-04  1.0570E-04  5.9059E-05  9.9894E-03  5.0075E-02  4.1677E-06
  1.7576E-01  1.0619E-01  3.8818E-01  3.3419E-04  0.0000E+00  0.0000E+00  1.0720E-01  3.8468E-01  7.4222E-05
  1.5038E-01  9.5799E-02  3.5687E-01  3.9882E-04  0.0000E+00  0.0000E+00  9.6590E-02  3.5368E-01  6.4314E-05
  1.3350E-01  8.8732E-02  3.3515E-01  4.3255E-04  0.0000E+00  0.0000E+00  8.9386E-02  3.3219E-01  5.7840E-05
  1.1342E-01  8.0095E-02  3.0811E-01  4.6228E-04  0.0000E+00  0.0000E+00  8.0594E-02  3.0542E-01  5.0228E-05
  1.1342E-01  8.0095E-02  3.0811E-01  4.6228E-04  1.6878E-10  0.0000E+00  8.0594E-02  3.0542E-01  5.0228E-05
  9.8763E-02  7.3701E-02  2.8768E-01  4.7653E-04  6.1925E-05  0.0000E+00  7.4094E-02  2.8520E-01  4.4819E-05
  8.6519E-02  6.8133E-02  2.6960E-01  4.8215E-04  1.0554E-04  0.0000E+00  6.8443E-02  2.6730E-01  4.0267E-05
  7.7243E-02  6.3745E-02  2.5515E-01  4.8205E-04  1.3481E-04  0.0000E+00  6.3995E-02  2.5299E-01  3.6786E-05
  6.9333E-02  5.9861E-02  2.4218E-01  4.7856E-04  1.5690E-04  0.0000E+00  6.0061E-02  2.4015E-01  3.3784E-05
  6.1876E-02  5.6052E-02  2.2931E-01  4.7200E-04  1.7500E-04  0.0000E+00  5.6208E-02  2.2740E-01  3.0915E-05
  5.6086E-02  5.2978E-02  2.1879E-01  4.6442E-04  1.8702E-04  0.0000E+00  5.3101E-02  2.1699E-01  2.8655E-05
  5.1057E-02  5.0207E-02  2.0921E-01  4.5576E-04  1.9579E-04  0.0000E+00  5.0302E-02  2.0751E-01  2.6663E-05
  4.7414E-02  4.8134E-02  2.0198E-01  4.4818E-04  2.0109E-04  0.0000E+00  4.8210E-02  2.0035E-01  2.5200E-05
  3.7326E-02  4.2044E-02  1.8038E-01  4.2037E-04  2.1036E-04  0.0000E+00  4.2070E-02  1.7896E-01  2.1040E-05
  3.7326E-02  4.2044E-02  1.8038E-01  4.2037E-04  2.1036E-04  2.7345E-12  4.2070E-02  1.7896E-01  2.1040E-05
  3.5475E-02  4.0887E-02  1.7621E-01  4.1420E-04  2.1109E-04  8.1009E-06  4.0904E-02  1.7482E-01  2.0275E-05
  3.0571E-02  3.7681E-02  1.6454E-01  3.9543E-04  2.1121E-04  2.5511E-05  3.7678E-02  1.6327E-01  1.8197E-05
  2.6245E-02  3.4654E-02  1.5336E-01  3.7539E-04  2.0868E-04  3.9231E-05  3.4634E-02  1.5219E-01  1.6292E-05
  2.2897E-02  3.2150E-02  1.4397E-01  3.5709E-04  2.0461E-04  4.8481E-05  3.2118E-02  1.4289E-01  1.4761E-05
  1.9991E-02  2.9833E-02  1.3517E-01  3.3884E-04  1.9930E-04  5.5399E-05  2.9793E-02  1.3417E-01  1.3382E-05
  1.7887E-02  2.8057E-02  1.2834E-01  3.2397E-04  1.9422E-04  5.9623E-05  2.8010E-02  1.2740E-01  1.2349E-05
  1.5665E-02  2.6066E-02  1.2059E-01  3.0639E-04  1.8746E-04  6.3209E-05  2.6013E-02  1.1972E-01  1.1219E-05
  1.3954E-02  2.4438E-02  1.1418E-01  2.9135E-04  1.8113E-04  6.5275E-05  2.4383E-02  1.1337E-01  1.0316E-05
  1.2568E-02  2.3047E-02  1.0865E-01  2.7800E-04  1.7514E-04  6.6417E-05  2.2989E-02  1.0788E-01  9.5601E-06
  1.1030E-02  2.1412E-02  1.0207E-01  2.6174E-04  1.6740E-04  6.7010E-05  2.1353E-02  1.0136E-01  8.6913E-06
  9.7763E-03  1.9995E-02  9.6290E-02  2.4715E-04  1.6011E-04  6.6883E-05  1.9934E-02  9.5633E-02  7.9551E-06
  8.7481E-03  1.8763E-02  9.1215E-02  2.3411E-04  1.5332E-04  6.6286E-05  1.8702E-02  9.0600E-02  7.3290E-06
  7.8425E-03  1.7617E-02  8.6443E-02  2.2168E-04  1.4663E-04  6.5328E-05  1.7556E-02  8.5868E-02  6.7583E-06
  7.0590E-03  1.6571E-02  8.2043E-02  2.1009E-04  1.4023E-04  6.4116E-05  1.6510E-02  8.1505E-02  6.2475E-06
  6.4016E-03  1.5646E-02  7.8114E-02  1.9965E-04  1.3431E-04  6.2767E-05  1.5586E-02  7.7608E-02  5.8045E-06
  5.8448E-03  1.4826E-02  7.4600E-02  1.9024E-04  1.2889E-04  6.1367E-05  1.4767E-02  7.4122E-02  5.4182E-06
  5.3435E-03  1.4052E-02  7.1251E-02  1.8123E-04  1.2359E-04  5.9856E-05  1.3994E-02  7.0800E-02  5.0598E-06
  4.8981E-03  1.3334E-02  6.8118E-02  1.7277E-04  1.1854E-04  5.8302E-05  1.3277E-02  6.7692E-02  4.7324E-06
  4.5146E-03  1.2688E-02  6.5281E-02  1.6508E-04  1.1389E-04  5.6774E-05  1.2633E-02  6.4877E-02  4.4428E-06
  4.1842E-03  1.2110E-02  6.2716E-02  1.5811E-04  1.0962E-04  5.5300E-05  1.2056E-02  6.2332E-02  4.1869E-06
  3.8794E-03  1.1556E-02  6.0242E-02  1.5137E-04  1.0545E-04  5.3795E-05  1.1503E-02  5.9877E-02  3.9453E-06
  3.6041E-03  1.1036E-02  5.7906E-02  1.4499E-04  1.0146E-04  5.2286E-05  1.0984E-02  5.7558E-02  3.7218E-06
  3.3632E-03  1.0565E-02  5.5771E-02  1.3920E-04  9.7817E-05  5.0892E-05  1.0514E-02  5.5439E-02  3.5218E-06
  3.1521E-03  1.0138E-02  5.3824E-02  1.3390E-04  9.4442E-05  4.9546E-05  1.0088E-02  5.3507E-02  3.3428E-06
  2.9543E-03  9.7249E-03  5.1929E-02  1.2874E-04  9.1134E-05  4.8193E-05  9.6765E-03  5.1625E-02  3.1718E-06
  2.7727E-03  9.3339E-03  5.0123E-02  1.2382E-04  8.7961E-05  4.6865E-05  9.2868E-03  4.9833E-02  3.0117E-06
  2.6118E-03  8.9764E-03  4.8462E-02  1.1927E-04  8.4998E-05  4.5584E-05  8.9304E-03  4.8184E-02  2.8671E-06
  2.4691E-03  8.6502E-03  4.6937E-02  1.1514E-04  8.2296E-05  4.4411E-05  8.6052E-03  4.6670E-02  2.7366E-06
  2.3334E-03  8.3320E-03  4.5442E-02  1.1111E-04  7.9656E-05  4.3259E-05  8.2881E-03  4.5185E-02  2.6105E-06
  2.2082E-03  8.0297E-03  4.4012E-02  1.0723E-04  7.7098E-05  4.2110E-05  7.9868E-03  4.3766E-02  2.4922E-06
  2.0951E-03  7.7502E-03  4.2684E-02  1.0365E-04  7.4716E-05  4.1027E-05  7.7084E-03  4.2447E-02  2.3837E-06
  1.9943E-03  7.4945E-03  4.1462E-02  1.0034E-04  7.2512E-05  4.0009E-05  7.4536E-03  4.1233E-02  2.2855E-06
  1.8974E-03  7.2432E-03  4.0256E-02  9.7070E-05  7.0311E-05  3.8969E-05  7.2033E-03  4.0036E-02  2.1899E-06
  1.5233E-01  8.5654E-02  3.4319E-01  2.0311E-04  0.0000E+00  0.0000E+00  8.6414E-02  3.4086E-01  4.2706E-05
  1.2880E-01  7.6813E-02  3.1394E-01  2.5483E-04  0.0000E+00  0.0000E+00  7.7402E-02  3.1183E-01  3.6803E-05
  1.1336E-01  7.0834E-02  2.9376E-01  2.8219E-04  0.0000E+00  0.0000E+00  7.1317E-02  2.9180E-01  3.2964E-05
  9.5216E-02  6.3569E-02  2.6875E-01  3.0684E-04  0.0000E+00  0.0000E+00  6.3932E-02  2.6698E-01  2.8472E-05
  9.5216E-02  6.3569E-02  2.6875E-01  3.0684E-04  1.2328E-10  0.0000E+00  6.3932E-02  2.6698E-01  2.8472E-05
  8.2164E-02  5.8223E-02  2.4996E-01  3.1913E-04  4.5145E-05  0.0000E+00  5.8506E-02  2.4832E-01  2.5297E-05
  7.1372E-02  5.3592E-02  2.3339E-01  3.2469E-04  7.6674E-05  0.0000E+00  5.3812E-02  2.3188E-01  2.2636E-05
  6.3271E-02  4.9958E-02  2.2020E-01  3.2565E-04  9.7656E-05  0.0000E+00  5.0133E-02  2.1879E-01  2.0609E-05
  5.6417E-02  4.6754E-02  2.0841E-01  3.2395E-04  1.1333E-04  0.0000E+00  4.6892E-02  2.0708E-01  1.8867E-05
  5.0006E-02  4.3624E-02  1.9674E-01  3.1992E-04  1.2602E-04  0.0000E+00  4.3730E-02  1.9550E-01  1.7208E-05
  4.5063E-02  4.1107E-02  1.8724E-01  3.1497E-04  1.3433E-04  0.0000E+00  4.1188E-02  1.8607E-01  1.5905E-05
  4.0797E-02  3.8846E-02  1.7861E-01  3.0915E-04  1.4026E-04  0.0000E+00  3.8907E-02  1.7750E-01  1.4759E-05
  3.7724E-02  3.7160E-02  1.7212E-01  3.0399E-04  1.4377E-04  0.0000E+00  3.7207E-02  1.7105E-01  1.3920E-05
  2.9298E-02  3.2229E-02  1.5279E-01  2.8477E-04  1.4941E-04  0.0000E+00  3.2241E-02  1.5187E-01  1.1546E-05
  2.9298E-02  3.2229E-02  1.5279E-01  2.8477E-04  1.4941E-04  1.9346E-12  3.2241E-02  1.5187E-01  1.1546E-05
  2.7769E-02  3.1297E-02  1.4907E-01  2.8047E-04  1.4973E-04  5.7283E-06  3.1302E-02  1.4818E-01  1.1111E-05
  2.3741E-02  2.8722E-02  1.3870E-01  2.6736E-04  1.4921E-04  1.7961E-05  2.8713E-02  1.3788E-01  9.9321E-06
  2.0217E-02  2.6302E-02  1.2880E-01  2.5332E-04  1.4681E-04  2.7496E-05  2.6281E-02  1.2805E-01  8.8567E-06
  1.7514E-02  2.4310E-02  1.2053E-01  2.4052E-04  1.4342E-04  3.3860E-05  2.4281E-02  1.1983E-01  7.9958E-06
  1.5185E-02  2.2474E-02  1.1280E-01  2.2774E-04  1.3918E-04  3.8533E-05  2.2439E-02  1.1216E-01  7.2231E-06
  1.3511E-02  2.1071E-02  1.0682E-01  2.1733E-04  1.3522E-04  4.1332E-05  2.1032E-02  1.0622E-01  6.6462E-06
  1.1754E-02  1.9504E-02  1.0005E-01  2.0506E-04  1.3004E-04  4.3651E-05  1.9462E-02  9.9501E-02  6.0168E-06
  1.0410E-02  1.8229E-02  9.4478E-02  1.9456E-04  1.2524E-04  4.4923E-05  1.8185E-02  9.3963E-02  5.5160E-06
  9.3280E-03  1.7142E-02  8.9675E-02  1.8527E-04  1.2075E-04  4.5567E-05  1.7097E-02  8.9192E-02  5.0978E-06
  8.1355E-03  1.5870E-02  8.3984E-02  1.7397E-04  1.1499E-04  4.5798E-05  1.5823E-02  8.3539E-02  4.6188E-06
  7.1696E-03  1.4770E-02  7.9005E-02  1.6386E-04  1.0961E-04  4.5550E-05  1.4723E-02  7.8592E-02  4.2142E-06
  6.3823E-03  1.3818E-02  7.4643E-02  1.5485E-04  1.0464E-04  4.4997E-05  1.3771E-02  7.4258E-02  3.8712E-06
  5.6929E-03  1.2935E-02  7.0554E-02  1.4627E-04  9.9770E-05  4.4205E-05  1.2889E-02  7.0195E-02  3.5595E-06
  5.0997E-03  1.2132E-02  6.6794E-02  1.3830E-04  9.5129E-05  4.3252E-05  1.2086E-02  6.6459E-02  3.2813E-06
  4.6047E-03  1.1424E-02  6.3446E-02  1.3113E-04  9.0866E-05  4.2222E-05  1.1379E-02  6.3131E-02  3.0407E-06
  4.1873E-03  1.0798E-02  6.0458E-02  1.2469E-04  8.6969E-05  4.1172E-05  1.0754E-02  6.0162E-02  2.8315E-06
  3.8133E-03  1.0208E-02  5.7619E-02  1.1853E-04  8.3184E-05  4.0054E-05  1.0166E-02  5.7340E-02  2.6378E-06
  3.4825E-03  9.6630E-03  5.4968E-02  1.1276E-04  7.9587E-05  3.8914E-05  9.6215E-03  5.4705E-02  2.4613E-06
  3.1987E-03  9.1743E-03  5.2573E-02  1.0753E-04  7.6285E-05  3.7806E-05  9.1337E-03  5.2324E-02  2.3056E-06
  2.9552E-03  8.7371E-03  5.0413E-02  1.0280E-04  7.3269E-05  3.6743E-05  8.6976E-03  5.0176E-02  2.1683E-06
  2.7315E-03  8.3194E-03  4.8333E-02  9.8234E-05  7.0331E-05  3.5666E-05  8.2809E-03  4.8109E-02  2.0389E-06
  2.5302E-03  7.9287E-03  4.6373E-02  9.3931E-05  6.7535E-05  3.4603E-05  7.8912E-03  4.6160E-02  1.9195E-06
  2.3546E-03  7.5749E-03  4.4585E-02  9.0005E-05  6.4962E-05  3.3594E-05  7.5384E-03  4.4382E-02  1.8129E-06
  2.2012E-03  7.2552E-03  4.2958E-02  8.6432E-05  6.2603E-05  3.2644E-05  7.2196E-03  4.2764E-02  1.7176E-06
  2.0579E-03  6.9465E-03  4.1377E-02  8.2961E-05  6.0297E-05  3.1694E-05  6.9119E-03  4.1192E-02  1.6268E-06
  1.9268E-03  6.6549E-03  3.9874E-02  7.9664E-05  5.8092E-05  3.0766E-05  6.6213E-03  3.9697E-02  1.5419E-06
  1.8110E-03  6.3888E-03  3.8493E-02  7.6638E-05  5.6057E-05  2.9892E-05  6.3560E-03  3.8324E-02  1.4654E-06
  1.7084E-03  6.1464E-03  3.7227E-02  7.3869E-05  5.4184E-05  2.9074E-05  6.1145E-03  3.7065E-02  1.3964E-06
  1.6112E-03  5.9104E-03  3.5988E-02  7.1161E-05  5.2344E-05  2.8259E-05  5.8793E-03  3.5832E-02  1.3299E-06
  1.5217E-03  5.6865E-03  3.4805E-02  6.8582E-05  5.0582E-05  2.7466E-05  5.6562E-03  3.4656E-02  1.2676E-06
  1.4411E-03  5.4800E-03  3.3708E-02  6.6194E-05  4.8944E-05  2.6719E-05  5.4504E-03  3.3565E-02  1.2106E-06
  1.3694E-03  5.2912E-03  3.2700E-02  6.4004E-05  4.7435E-05  2.6023E-05  5.2624E-03  3.2562E-02  1.1590E-06
  1.3007E-03  5.1062E-03  3.1706E-02  6.1850E-05  4.5945E-05  2.5328E-05  5.0781E-03  3.1573E-02  1.1089E-06
  1.3080E-01  6.7544E-02  2.9980E-01  1.1987E-04  0.0000E+00  0.0000E+00  6.8069E-02  2.9831E-01  2.3755E-05
  1.0927E-01  6.0206E-02  2.7286E-01  1.5945E-04  0.0000E+00  0.0000E+00  6.0607E-02  2.7151E-01  2.0360E-05
  9.5324E-02  5.5274E-02  2.5436E-01  1.8063E-04  0.0000E+00  0.0000E+00  5.5598E-02  2.5311E-01  1.8164E-05
  7.9142E-02  4.9314E-02  2.3155E-01  2.0004E-04  0.0000E+00  0.0000E+00  4.9552E-02  2.3043E-01  1.5606E-05
  7.9142E-02  4.9314E-02  2.3155E-01  2.0004E-04  8.8244E-11  0.0000E+00  4.9552E-02  2.3043E-01  1.5606E-05
  6.7665E-02  4.4955E-02  2.1450E-01  2.1000E-04  3.2222E-05  0.0000E+00  4.5137E-02  2.1347E-01  1.3807E-05
  5.8273E-02  4.1198E-02  1.9954E-01  2.1487E-04  5.4554E-05  0.0000E+00  4.1336E-02  1.9859E-01  1.2305E-05
  5.1286E-02  3.8263E-02  1.8767E-01  2.1619E-04  6.9289E-05  0.0000E+00  3.8369E-02  1.8678E-01  1.1166E-05
  4.5422E-02  3.5686E-02  1.7710E-01  2.1548E-04  8.0196E-05  0.0000E+00  3.5766E-02  1.7626E-01  1.0190E-05
  3.9979E-02  3.3178E-02  1.6667E-01  2.1307E-04  8.8918E-05  0.0000E+00  3.3236E-02  1.6589E-01  9.2638E-06
  3.5812E-02  3.1168E-02  1.5821E-01  2.0988E-04  9.4537E-05  0.0000E+00  3.1210E-02  1.5748E-01  8.5386E-06
  3.2240E-02  2.9369E-02  1.5055E-01  2.0603E-04  9.8475E-05  0.0000E+00  2.9397E-02  1.4985E-01  7.9028E-06
  2.9681E-02  2.8031E-02  1.4479E-01  2.0257E-04  1.0074E-04  0.0000E+00  2.8050E-02  1.4412E-01  7.4381E-06
  2.2732E-02  2.4139E-02  1.2774E-01  1.8948E-04  1.0403E-04  0.0000E+00  2.4134E-02  1.2716E-01  6.1289E-06
  2.2732E-02  2.4139E-02  1.2774E-01  1.8948E-04  1.0403E-04  1.3453E-12  2.4134E-02  1.2716E-01  6.1289E-06
  2.1485E-02  2.3406E-02  1.2448E-01  1.8654E-04  1.0411E-04  3.9814E-06  2.3398E-02  1.2392E-01  5.8901E-06
  1.8219E-02  2.1390E-02  1.1539E-01  1.7753E-04  1.0334E-04  1.2430E-05  2.1372E-02  1.1488E-01  5.2448E-06
  1.5388E-02  1.9503E-02  1.0676E-01  1.6786E-04  1.0126E-04  1.8942E-05  1.9479E-02  1.0629E-01  4.6584E-06
  1.3233E-02  1.7957E-02  9.9567E-02  1.5905E-04  9.8558E-05  2.3233E-05  1.7927E-02  9.9137E-02  4.1908E-06
  1.1391E-02  1.6538E-02  9.2875E-02  1.5025E-04  9.5291E-05  2.6334E-05  1.6505E-02  9.2479E-02  3.7726E-06
  1.0077E-02  1.5458E-02  8.7713E-02  1.4310E-04  9.2293E-05  2.8154E-05  1.5423E-02  8.7343E-02  3.4614E-06
  8.7071E-03  1.4256E-02  8.1897E-02  1.3468E-04  8.8431E-05  2.9618E-05  1.4220E-02  8.1556E-02  3.1230E-06
  7.6665E-03  1.3281E-02  7.7117E-02  1.2749E-04  8.4896E-05  3.0378E-05  1.3244E-02  7.6800E-02  2.8545E-06
  6.8334E-03  1.2453E-02  7.3011E-02  1.2114E-04  8.1611E-05  3.0719E-05  1.2416E-02  7.2715E-02  2.6311E-06
  5.9215E-03  1.1487E-02  6.8162E-02  1.1344E-04  7.7441E-05  3.0757E-05  1.1450E-02  6.7890E-02  2.3759E-06
  5.1879E-03  1.0656E-02  6.3933E-02  1.0656E-04  7.3567E-05  3.0483E-05  1.0619E-02  6.3681E-02  2.1610E-06
  4.5936E-03  9.9382E-03  6.0240E-02  1.0044E-04  7.0010E-05  3.0016E-05  9.9020E-03  6.0006E-02  1.9795E-06
  4.0763E-03  9.2750E-03  5.6788E-02  9.4644E-05  6.6548E-05  2.9394E-05  9.2395E-03  5.6570E-02  1.8149E-06
  3.6337E-03  8.6735E-03  5.3623E-02  8.9262E-05  6.3263E-05  2.8673E-05  8.6389E-03  5.3420E-02  1.6685E-06
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  2.6832E-03  7.2418E-03  4.5939E-02  7.5990E-05  5.4884E-05  2.6339E-05  7.2100E-03  4.5771E-02  1.3316E-06
  2.4412E-03  6.8380E-03  4.3730E-02  7.2133E-05  5.2380E-05  2.5526E-05  6.8072E-03  4.3572E-02  1.2397E-06
  2.2344E-03  6.4771E-03  4.1739E-02  6.8643E-05  5.0090E-05  2.4741E-05  6.4472E-03  4.1589E-02  1.1587E-06
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  1.4129E-03  4.8444E-03  3.2494E-02  5.2380E-05  3.9111E-05  2.0491E-05  4.8196E-03  3.2384E-02  8.0820E-07
  1.3197E-03  4.6324E-03  3.1261E-02  5.0213E-05  3.7611E-05  1.9855E-05  4.6084E-03  3.1156E-02  7.6470E-07
  1.2375E-03  4.4393E-03  3.0130E-02  4.8228E-05  3.6230E-05  1.9258E-05  4.4160E-03  3.0030E-02  7.2554E-07
  1.1650E-03  4.2637E-03  2.9096E-02  4.6414E-05  3.4962E-05  1.8701E-05  4.2410E-03  2.9000E-02  6.9030E-07
  1.0964E-03  4.0930E-03  2.8085E-02  4.4644E-05  3.3719E-05  1.8148E-05  4.0710E-03  2.7993E-02  6.5639E-07
  1.0335E-03  3.9315E-03  2.7122E-02  4.2961E-05  3.2532E-05  1.7611E-05  3.9101E-03  2.7034E-02  6.2464E-07
  9.7690E-04  3.7826E-03  2.6229E-02  4.1405E-05  3.1429E-05  1.7107E-05  3.7618E-03  2.6145E-02  5.9565E-07
  9.2672E-04  3.6469E-03  2.5410E-02  3.9980E-05  3.0416E-05  1.6638E-05  3.6267E-03  2.5329E-02  5.6949E-07
  8.7866E-04  3.5139E-03  2.4605E-02  3.8581E-05  2.9418E-05  1.6171E-05  3.4943E-03  2.4527E-02  5.4409E-07
  1.1113E-01  5.1974E-02  2.5853E-01  6.8265E-05  0.0000E+00  0.0000E+00  5.2312E-02  2.5762E-01  1.2675E-05
  9.1705E-02  4.6044E-02  2.3407E-01  9.7124E-05  0.0000E+00  0.0000E+00  4.6296E-02  2.3325E-01  1.0803E-05
  7.9284E-02  4.2080E-02  2.1736E-01  1.1275E-04  0.0000E+00  0.0000E+00  4.2280E-02  2.1660E-01  9.5985E-06
  6.5045E-02  3.7319E-02  1.9686E-01  1.2729E-04  0.0000E+00  0.0000E+00  3.7462E-02  1.9618E-01  8.2021E-06
  6.5045E-02  3.7319E-02  1.9686E-01  1.2729E-04  6.1447E-11  0.0000E+00  3.7462E-02  1.9618E-01  8.2021E-06
  5.5088E-02  3.3858E-02  1.8162E-01  1.3492E-04  2.2398E-05  0.0000E+00  3.3963E-02  1.8099E-01  7.2252E-06
  4.7023E-02  3.0890E-02  1.6831E-01  1.3884E-04  3.7821E-05  0.0000E+00  3.0966E-02  1.6773E-01  6.4135E-06
  4.1078E-02  2.8583E-02  1.5778E-01  1.4015E-04  4.7920E-05  0.0000E+00  2.8638E-02  1.5724E-01  5.7997E-06
  3.6129E-02  2.6564E-02  1.4845E-01  1.3997E-04  5.5331E-05  0.0000E+00  2.6602E-02  1.4794E-01  5.2759E-06
  3.1570E-02  2.4607E-02  1.3927E-01  1.3857E-04  6.1188E-05  0.0000E+00  2.4631E-02  1.3879E-01  4.7803E-06
  2.8105E-02  2.3045E-02  1.3184E-01  1.3657E-04  6.4903E-05  0.0000E+00  2.3059E-02  1.3139E-01  4.3936E-06
  2.5155E-02  2.1651E-02  1.2513E-01  1.3408E-04  6.7451E-05  0.0000E+00  2.1656E-02  1.2471E-01  4.0555E-06
  2.3054E-02  2.0617E-02  1.2011E-01  1.3180E-04  6.8877E-05  0.0000E+00  2.0617E-02  1.1970E-01  3.8090E-06
  1.7404E-02  1.7625E-02  1.0529E-01  1.2309E-04  7.0689E-05  0.0000E+00  1.7611E-02  1.0495E-01  3.1176E-06
  1.7404E-02  1.7625E-02  1.0529E-01  1.2309E-04  7.0689E-05  9.1628E-13  1.7611E-02  1.0495E-01  3.1176E-06
  1.6402E-02  1.7065E-02  1.0247E-01  1.2111E-04  7.0652E-05  2.7106E-06  1.7049E-02  1.0213E-01  2.9920E-06
  1.3791E-02  1.5528E-02  9.4635E-02  1.1506E-04  6.9860E-05  8.4257E-06  1.5506E-02  9.4327E-02  2.6537E-06
  1.1548E-02  1.4096E-02  8.7215E-02  1.0856E-04  6.8175E-05  1.2782E-05  1.4071E-02  8.6935E-02  2.3474E-06
  9.8567E-03  1.2928E-02  8.1063E-02  1.0263E-04  6.6113E-05  1.5614E-05  1.2900E-02  8.0805E-02  2.1042E-06
  8.4220E-03  1.1860E-02  7.5358E-02  9.6715E-05  6.3683E-05  1.7625E-05  1.1831E-02  7.5121E-02  1.8874E-06
  7.4056E-03  1.1051E-02  7.0972E-02  9.1914E-05  6.1491E-05  1.8782E-05  1.1021E-02  7.0752E-02  1.7267E-06
  6.3538E-03  1.0154E-02  6.6047E-02  8.6271E-05  5.8700E-05  1.9680E-05  1.0124E-02  6.5845E-02  1.5524E-06
  5.5604E-03  9.4284E-03  6.2013E-02  8.1466E-05  5.6171E-05  2.0115E-05  9.3984E-03  6.1825E-02  1.4147E-06
  4.9292E-03  8.8147E-03  5.8559E-02  7.7230E-05  5.3838E-05  2.0278E-05  8.7849E-03  5.8384E-02  1.3004E-06
  4.2429E-03  8.1010E-03  5.4491E-02  7.2104E-05  5.0898E-05  2.0224E-05  8.0719E-03  5.4330E-02  1.1702E-06
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  3.2534E-03  6.9628E-03  4.7879E-02  6.3495E-05  4.5711E-05  1.9601E-05  6.9352E-03  4.7742E-02  9.6907E-07
  2.8715E-03  6.4780E-03  4.5011E-02  5.9668E-05  4.3314E-05  1.9133E-05  6.4513E-03  4.4884E-02  8.8595E-07
  2.5467E-03  6.0398E-03  4.2390E-02  5.6127E-05  4.1051E-05  1.8606E-05  6.0140E-03  4.2271E-02  8.1221E-07
  2.2787E-03  5.6561E-03  4.0068E-02  5.2961E-05  3.8993E-05  1.8060E-05  5.6312E-03  3.9957E-02  7.4880E-07
  2.0549E-03  5.3186E-03  3.8007E-02  5.0130E-05  3.7126E-05  1.7517E-05  5.2946E-03  3.7903E-02  6.9391E-07
  1.8563E-03  5.0027E-03  3.6058E-02  4.7438E-05  3.5328E-05  1.6953E-05  4.9796E-03  3.5960E-02  6.4337E-07
  1.6822E-03  4.7119E-03  3.4247E-02  4.4927E-05  3.3630E-05  1.6387E-05  4.6896E-03  3.4155E-02  5.9755E-07
  1.5342E-03  4.4526E-03  3.2618E-02  4.2660E-05  3.2083E-05  1.5846E-05  4.4312E-03  3.2531E-02  5.5729E-07
  1.4081E-03  4.2219E-03  3.1156E-02  4.0621E-05  3.0679E-05  1.5333E-05  4.2011E-03  3.1074E-02  5.2195E-07
  1.2932E-03  4.0024E-03  2.9753E-02  3.8663E-05  2.9320E-05  1.4818E-05  3.9824E-03  2.9676E-02  4.8878E-07
  1.1906E-03  3.7981E-03  2.8437E-02  3.6824E-05  2.8034E-05  1.4316E-05  3.7788E-03  2.8364E-02  4.5832E-07
  1.1018E-03  3.6139E-03  2.7242E-02  3.5153E-05  2.6857E-05  1.3844E-05  3.5953E-03  2.7172E-02  4.3120E-07
  1.0247E-03  3.4481E-03  2.6158E-02  3.3638E-05  2.5784E-05  1.3402E-05  3.4302E-03  2.6092E-02  4.0708E-07
  9.5306E-04  3.2888E-03  2.5109E-02  3.2173E-05  2.4740E-05  1.2964E-05  3.2714E-03  2.5046E-02  3.8416E-07
  8.8794E-04  3.1388E-03  2.4115E-02  3.0787E-05  2.3747E-05  1.2539E-05  3.1220E-03  2.4055E-02  3.6283E-07
  8.3074E-04  3.0025E-03  2.3205E-02  2.9519E-05  2.2835E-05  1.2142E-05  2.9863E-03  2.3148E-02  3.4366E-07
  7.8040E-04  2.8788E-03  2.2374E-02  2.8364E-05  2.1999E-05  1.1772E-05  2.8631E-03  2.2319E-02  3.2645E-07
  7.3291E-04  2.7587E-03  2.1562E-02  2.7237E-05  2.1181E-05  1.1405E-05  2.7436E-03  2.1510E-02  3.0990E-07
  6.8943E-04  2.6454E-03  2.0791E-02  2.6169E-05  2.0402E-05  1.1051E-05  2.6307E-03  2.0741E-02  2.9445E-07
  6.5043E-04  2.5410E-03  2.0077E-02  2.5182E-05  1.9680E-05  1.0719E-05  2.5268E-03  2.0029E-02  2.8035E-07
  6.1594E-04  2.4461E-03  1.9424E-02  2.4281E-05  1.9018E-05  1.0411E-05  2.4323E-03  1.9378E-02  2.6765E-07
  5.8298E-04  2.3533E-03  1.8781E-02  2.3397E-05  1.8367E-05  1.0105E-05  2.3399E-03  1.8737E-02  2.5533E-07
  9.3302E-02  3.8927E-02  2.1979E-01  3.7341E-05  0.0000E+00  0.0000E+00  3.9129E-02  2.1926E-01  6.4503E-06
  7.6028E-02  3.4269E-02  1.9792E-01  5.7191E-05  0.0000E+00  0.0000E+00  3.4416E-02  1.9745E-01  5.4667E-06
  6.5124E-02  3.1174E-02  1.8306E-01  6.8104E-05  0.0000E+00  0.0000E+00  3.1288E-02  1.8262E-01  4.8366E-06
  5.2777E-02  2.7478E-02  1.6492E-01  7.8437E-05  0.0000E+00  0.0000E+00  2.7556E-02  1.6453E-01  4.1100E-06
  5.2777E-02  2.7478E-02  1.6492E-01  7.8437E-05  4.1405E-11  0.0000E+00  2.7556E-02  1.6453E-01  4.1100E-06
  4.4263E-02  2.4808E-02  1.5151E-01  8.3974E-05  1.5077E-05  0.0000E+00  2.4862E-02  1.5114E-01  3.6043E-06
  3.7439E-02  2.2531E-02  1.3985E-01  8.6945E-05  2.5409E-05  0.0000E+00  2.2566E-02  1.3951E-01  3.1860E-06
  3.2455E-02  2.0768E-02  1.3067E-01  8.8061E-05  3.2134E-05  0.0000E+00  2.0790E-02  1.3035E-01  2.8710E-06
  2.8339E-02  1.9231E-02  1.2255E-01  8.8137E-05  3.7030E-05  0.0000E+00  1.9244E-02  1.2225E-01  2.6030E-06
  2.4578E-02  1.7749E-02  1.1459E-01  8.7375E-05  4.0858E-05  0.0000E+00  1.7753E-02  1.1432E-01  2.3504E-06
  2.1742E-02  1.6569E-02  1.0818E-01  8.6164E-05  4.3249E-05  0.0000E+00  1.6567E-02  1.0792E-01  2.1539E-06
  1.9343E-02  1.5520E-02  1.0241E-01  8.4602E-05  4.4854E-05  0.0000E+00  1.5514E-02  1.0216E-01  1.9827E-06
  1.7644E-02  1.4745E-02  9.8092E-02  8.3154E-05  4.5725E-05  0.0000E+00  1.4735E-02  9.7858E-02  1.8582E-06
  1.3122E-02  1.2511E-02  8.5431E-02  7.7531E-05  4.6658E-05  0.0000E+00  1.2494E-02  8.5230E-02  1.5104E-06
  1.3122E-02  1.2511E-02  8.5431E-02  7.7531E-05  4.6658E-05  6.0918E-13  1.2494E-02  8.5230E-02  1.5104E-06
  1.2329E-02  1.2095E-02  8.3028E-02  7.6250E-05  4.6576E-05  1.8013E-06  1.2077E-02  8.2833E-02  1.4475E-06
  1.0276E-02  1.0957E-02  7.6380E-02  7.2309E-05  4.5882E-05  5.5750E-06  1.0936E-02  7.6202E-02  1.2785E-06
  8.5285E-03  9.9018E-03  7.0111E-02  6.8066E-05  4.4598E-05  8.4189E-06  9.8791E-03  6.9950E-02  1.1263E-06
  7.2221E-03  9.0449E-03  6.4934E-02  6.4195E-05  4.3091E-05  1.0242E-05  9.0214E-03  6.4786E-02  1.0058E-06
  6.1234E-03  8.2653E-03  6.0152E-02  6.0339E-05  4.1354E-05  1.1514E-05  8.2415E-03  6.0017E-02  8.9887E-07
  5.3507E-03  7.6762E-03  5.6489E-02  5.7214E-05  3.9808E-05  1.2228E-05  7.6524E-03  5.6363E-02  8.1983E-07
  4.5570E-03  7.0259E-03  5.2389E-02  5.3547E-05  3.7860E-05  1.2762E-05  7.0025E-03  5.2273E-02  7.3447E-07
  3.9627E-03  6.5023E-03  4.9043E-02  5.0432E-05  3.6110E-05  1.2998E-05  6.4793E-03  4.8935E-02  6.6721E-07
  3.4929E-03  6.0606E-03  4.6186E-02  4.7691E-05  3.4507E-05  1.3062E-05  6.0381E-03  4.6086E-02  6.1156E-07
  2.9856E-03  5.5489E-03  4.2833E-02  4.4385E-05  3.2500E-05  1.2976E-05  5.5273E-03  4.2741E-02  5.4841E-07
  2.5833E-03  5.1118E-03  3.9929E-02  4.1450E-05  3.0660E-05  1.2767E-05  5.0910E-03  3.9845E-02  4.9562E-07
  2.2617E-03  4.7373E-03  3.7410E-02  3.8855E-05  2.8991E-05  1.2489E-05  4.7173E-03  3.7332E-02  4.5128E-07
  1.9852E-03  4.3935E-03  3.5069E-02  3.6408E-05  2.7383E-05  1.2150E-05  4.3743E-03  3.4996E-02  4.1135E-07
  1.7513E-03  4.0837E-03  3.2935E-02  3.4151E-05  2.5872E-05  1.1778E-05  4.0653E-03  3.2868E-02  3.7602E-07
  1.5595E-03  3.8133E-03  3.1051E-02  3.2138E-05  2.4504E-05  1.1399E-05  3.7957E-03  3.0989E-02  3.4573E-07
  1.4001E-03  3.5762E-03  2.9383E-02  3.0344E-05  2.3268E-05  1.1027E-05  3.5593E-03  2.9324E-02  3.1958E-07
  1.2594E-03  3.3548E-03  2.7809E-02  2.8642E-05  2.2082E-05  1.0643E-05  3.3387E-03  2.7755E-02  2.9557E-07
  1.1366E-03  3.1517E-03  2.6351E-02  2.7059E-05  2.0966E-05  1.0262E-05  3.1363E-03  2.6300E-02  2.7385E-07
  1.0327E-03  2.9710E-03  2.5043E-02  2.5633E-05  1.9953E-05  9.8990E-06  2.9562E-03  2.4994E-02  2.5481E-07
  9.4462E-04  2.8106E-03  2.3871E-02  2.4355E-05  1.9037E-05  9.5575E-06  2.7964E-03  2.3825E-02  2.3814E-07
  8.6464E-04  2.6584E-03  2.2749E-02  2.3130E-05  1.8152E-05  9.2167E-06  2.6448E-03  2.2706E-02  2.2253E-07
  7.9350E-04  2.5170E-03  2.1699E-02  2.1982E-05  1.7318E-05  8.8854E-06  2.5040E-03  2.1659E-02  2.0822E-07
  7.3210E-04  2.3899E-03  2.0747E-02  2.0941E-05  1.6556E-05  8.5752E-06  2.3774E-03  2.0709E-02  1.9551E-07
  6.7902E-04  2.2758E-03  1.9886E-02  2.0001E-05  1.5864E-05  8.2867E-06  2.2637E-03  1.9849E-02  1.8423E-07
  6.2990E-04  2.1662E-03  1.9054E-02  1.9093E-05  1.5193E-05  8.0012E-06  2.1546E-03  1.9019E-02  1.7353E-07
  5.8536E-04  2.0634E-03  1.8267E-02  1.8235E-05  1.4555E-05  7.7252E-06  2.0522E-03  1.8234E-02  1.6359E-07
  5.4635E-04  1.9701E-03  1.7548E-02  1.7453E-05  1.3971E-05  7.4680E-06  1.9594E-03  1.7516E-02  1.5467E-07
  5.1213E-04  1.8856E-03  1.6892E-02  1.6741E-05  1.3437E-05  7.2295E-06  1.8752E-03  1.6862E-02  1.4668E-07
  4.7992E-04  1.8038E-03  1.6253E-02  1.6049E-05  1.2916E-05  6.9937E-06  1.7938E-03  1.6224E-02  1.3901E-07
  4.5053E-04  1.7266E-03  1.5647E-02  1.5394E-05  1.2421E-05  6.7664E-06  1.7170E-03  1.5619E-02  1.3186E-07
  4.2422E-04  1.6557E-03  1.5087E-02  1.4790E-05  1.1963E-05  6.5541E-06  1.6464E-03  1.5060E-02  1.2535E-07
  4.0101E-04  1.5914E-03  1.4575E-02  1.4239E-05  1.1543E-05  6.3576E-06  1.5823E-03  1.4549E-02  1.1949E-07
  3.7888E-04  1.5285E-03  1.4072E-02  1.3700E-05  1.1132E-05  6.1629E-06  1.5198E-03  1.4048E-02  1.1382E-07
  7.7274E-02  2.8290E-02  1.8390E-01  1.9506E-05  0.0000E+00  0.0000E+00  2.8402E-02  1.8362E-01  3.1097E-06
  6.2154E-02  2.4743E-02  1.6468E-01  3.2164E-05  0.0000E+00  0.0000E+00  2.4823E-02  1.6442E-01  2.6199E-06
  5.2732E-02  2.2402E-02  1.5169E-01  3.9297E-05  0.0000E+00  0.0000E+00  2.2461E-02  1.5144E-01  2.3078E-06
  4.2196E-02  1.9622E-02  1.3591E-01  4.6211E-05  0.0000E+00  0.0000E+00  1.9660E-02  1.3569E-01  1.9498E-06
  4.2196E-02  1.9622E-02  1.3591E-01  4.6211E-05  2.6765E-11  0.0000E+00  1.9660E-02  1.3569E-01  1.9498E-06
  3.5032E-02  1.7627E-02  1.2430E-01  5.0018E-05  9.7478E-06  0.0000E+00  1.7651E-02  1.2410E-01  1.7019E-06
  2.9351E-02  1.5934E-02  1.1426E-01  5.2143E-05  1.6416E-05  0.0000E+00  1.5946E-02  1.1408E-01  1.4979E-06
  2.5242E-02  1.4629E-02  1.0639E-01  5.3023E-05  2.0738E-05  0.0000E+00  1.4634E-02  1.0622E-01  1.3448E-06
  2.1876E-02  1.3497E-02  9.9454E-02  5.3208E-05  2.3867E-05  0.0000E+00  1.3497E-02  9.9291E-02  1.2151E-06
  1.8826E-02  1.2408E-02  9.2684E-02  5.2842E-05  2.6290E-05  0.0000E+00  1.2403E-02  9.2532E-02  1.0933E-06
  1.6542E-02  1.1546E-02  8.7245E-02  5.2156E-05  2.7784E-05  0.0000E+00  1.1538E-02  8.7101E-02  9.9885E-07
  1.4625E-02  1.0781E-02  8.2361E-02  5.1230E-05  2.8766E-05  0.0000E+00  1.0771E-02  8.2226E-02  9.1678E-07
  1.3275E-02  1.0218E-02  7.8722E-02  5.0355E-05  2.9282E-05  0.0000E+00  1.0206E-02  7.8592E-02  8.5726E-07
  9.7204E-03  8.6037E-03  6.8093E-02  4.6891E-05  2.9726E-05  0.0000E+00  8.5877E-03  6.7982E-02  6.9181E-07
  9.7204E-03  8.6037E-03  6.8093E-02  4.6891E-05  2.9726E-05  3.9365E-13  8.5877E-03  6.7982E-02  6.9181E-07
  9.1043E-03  8.3046E-03  6.6086E-02  4.6095E-05  2.9640E-05  1.1635E-06  8.2881E-03  6.5978E-02  6.6205E-07
  7.5186E-03  7.4888E-03  6.0547E-02  4.3638E-05  2.9097E-05  3.5855E-06  7.4713E-03  6.0449E-02  5.8227E-07
  6.1821E-03  6.7363E-03  5.5347E-02  4.0983E-05  2.8175E-05  5.3900E-06  6.7184E-03  5.5258E-02  5.1068E-07
  5.1922E-03  6.1280E-03  5.1072E-02  3.8559E-05  2.7126E-05  6.5300E-06  6.1100E-03  5.0990E-02  4.5429E-07
  4.3668E-03  5.5770E-03  4.7138E-02  3.6146E-05  2.5938E-05  7.3110E-06  5.5592E-03  4.7063E-02  4.0444E-07
  3.7908E-03  5.1622E-03  4.4135E-02  3.4193E-05  2.4891E-05  7.7382E-06  5.1448E-03  4.4065E-02  3.6772E-07
  3.2036E-03  4.7062E-03  4.0786E-02  3.1905E-05  2.3585E-05  8.0428E-06  4.6893E-03  4.0722E-02  3.2820E-07
  2.7673E-03  4.3404E-03  3.8062E-02  2.9965E-05  2.2421E-05  8.1628E-06  4.3240E-03  3.8003E-02  2.9718E-07
  2.4248E-03  4.0329E-03  3.5744E-02  2.8262E-05  2.1361E-05  8.1765E-06  4.0171E-03  3.5689E-02  2.7159E-07
  2.0575E-03  3.6780E-03  3.3032E-02  2.6214E-05  2.0042E-05  8.0902E-06  3.6630E-03  3.2983E-02  2.4265E-07
  1.7684E-03  3.3761E-03  3.0693E-02  2.4401E-05  1.8841E-05  7.9310E-06  3.3618E-03  3.0647E-02  2.1854E-07
  1.5389E-03  3.1183E-03  2.8670E-02  2.2803E-05  1.7756E-05  7.7314E-06  3.1047E-03  2.8628E-02  1.9836E-07
  1.3429E-03  2.8825E-03  2.6796E-02  2.1301E-05  1.6717E-05  7.4972E-06  2.8696E-03  2.6757E-02  1.8025E-07
  1.1781E-03  2.6708E-03  2.5093E-02  1.9920E-05  1.5744E-05  7.2446E-06  2.6585E-03  2.5057E-02  1.6427E-07
  1.0438E-03  2.4865E-03  2.3594E-02  1.8692E-05  1.4868E-05  6.9908E-06  2.4749E-03  2.3561E-02  1.5062E-07
  9.3279E-04  2.3255E-03  2.2271E-02  1.7601E-05  1.4079E-05  6.7443E-06  2.3144E-03  2.2239E-02  1.3886E-07
  8.3533E-04  2.1756E-03  2.1026E-02  1.6569E-05  1.3325E-05  6.4925E-06  2.1650E-03  2.0996E-02  1.2809E-07
  7.5072E-04  2.0383E-03  1.9875E-02  1.5611E-05  1.2619E-05  6.2440E-06  2.0283E-03  1.9847E-02  1.1838E-07
  6.7942E-04  1.9167E-03  1.8845E-02  1.4752E-05  1.1980E-05  6.0090E-06  1.9071E-03  1.8819E-02  1.0988E-07
  6.1925E-04  1.8089E-03  1.7924E-02  1.3983E-05  1.1403E-05  5.7891E-06  1.7997E-03  1.7900E-02  1.0246E-07
  5.6486E-04  1.7069E-03  1.7045E-02  1.3248E-05  1.0849E-05  5.5708E-06  1.6982E-03  1.7023E-02  9.5533E-08
  5.1667E-04  1.6124E-03  1.6224E-02  1.2562E-05  1.0327E-05  5.3596E-06  1.6041E-03  1.6203E-02  8.9193E-08
  4.7525E-04  1.5276E-03  1.5482E-02  1.1942E-05  9.8526E-06  5.1627E-06  1.5197E-03  1.5461E-02  8.3575E-08
  4.3956E-04  1.4517E-03  1.4811E-02  1.1382E-05  9.4225E-06  4.9803E-06  1.4440E-03  1.4792E-02  7.8599E-08
  4.0665E-04  1.3790E-03  1.4165E-02  1.0843E-05  9.0063E-06  4.8005E-06  1.3716E-03  1.4146E-02  7.3887E-08
  3.7690E-04  1.3108E-03  1.3554E-02  1.0335E-05  8.6122E-06  4.6273E-06  1.3038E-03  1.3537E-02  6.9519E-08
  3.5094E-04  1.2491E-03  1.2998E-02  9.8736E-06  8.2522E-06  4.4665E-06  1.2424E-03  1.2981E-02  6.5610E-08
  3.2823E-04  1.1934E-03  1.2491E-02  9.4543E-06  7.9240E-06  4.3178E-06  1.1869E-03  1.2475E-02  6.2111E-08
  3.0692E-04  1.1395E-03  1.1998E-02  9.0474E-06  7.6043E-06  4.1713E-06  1.1332E-03  1.1983E-02  5.8760E-08
  2.8752E-04  1.0888E-03  1.1532E-02  8.6631E-06  7.3012E-06  4.0305E-06  1.0828E-03  1.1517E-02  5.5641E-08
  2.7020E-04  1.0422E-03  1.1101E-02  8.3097E-06  7.0216E-06  3.8994E-06  1.0365E-03  1.1087E-02  5.2805E-08
  2.5497E-04  1.0001E-03  1.0708E-02  7.9882E-06  6.7664E-06  3.7783E-06  9.9451E-04  1.0695E-02  5.0259E-08
  2.4048E-04  9.5899E-04  1.0323E-02  7.6742E-06  6.5163E-06  3.6588E-06  9.5361E-04  1.0311E-02  4.7798E-08
  6.3005E-02  1.9873E-02  1.5114E-01  9.6618E-06  0.0000E+00  0.0000E+00  1.9930E-02  1.5099E-01  1.4080E-06
  4.9997E-02  1.7265E-02  1.3454E-01  1.6878E-05  0.0000E+00  0.0000E+00  1.7304E-02  1.3441E-01  1.1789E-06
  4.1998E-02  1.5554E-02  1.2339E-01  2.1141E-05  0.0000E+00  0.0000E+00  1.5583E-02  1.2327E-01  1.0337E-06
  3.3165E-02  1.3536E-02  1.0992E-01  2.5443E-05  0.0000E+00  0.0000E+00  1.3552E-02  1.0981E-01  8.6801E-07
  3.3165E-02  1.3536E-02  1.0992E-01  2.5443E-05  1.6381E-11  0.0000E+00  1.3552E-02  1.0981E-01  8.6801E-07
  2.7246E-02  1.2096E-02  1.0008E-01  2.7910E-05  5.9794E-06  0.0000E+00  1.2105E-02  9.9972E-02  7.5400E-07
  2.2603E-02  1.0881E-02  9.1596E-02  2.9357E-05  1.0082E-05  0.0000E+00  1.0884E-02  9.1499E-02  6.6057E-07
  1.9276E-02  9.9493E-03  8.4975E-02  3.0019E-05  1.2742E-05  0.0000E+00  9.9480E-03  8.4885E-02  5.9080E-07
  1.6576E-02  9.1441E-03  7.9164E-02  3.0241E-05  1.4662E-05  0.0000E+00  9.1398E-03  7.9079E-02  5.3189E-07
  1.4149E-02  8.3733E-03  7.3514E-02  3.0122E-05  1.6141E-05  0.0000E+00  8.3665E-03  7.3434E-02  4.7677E-07
  1.2346E-02  7.7649E-03  6.8989E-02  2.9783E-05  1.7044E-05  0.0000E+00  7.7564E-03  6.8915E-02  4.3418E-07
  1.0844E-02  7.2277E-03  6.4941E-02  2.9286E-05  1.7626E-05  0.0000E+00  7.2179E-03  6.4871E-02  3.9730E-07
  9.7925E-03  6.8327E-03  6.1932E-02  2.8801E-05  1.7924E-05  0.0000E+00  6.8221E-03  6.1864E-02  3.7062E-07
  7.0540E-03  5.7076E-03  5.3188E-02  2.6818E-05  1.8123E-05  0.0000E+00  5.6955E-03  5.3130E-02  2.9684E-07
  7.0540E-03  5.7076E-03  5.3188E-02  2.6818E-05  1.8123E-05  2.4592E-13  5.6955E-03  5.3130E-02  2.9684E-07
  6.5851E-03  5.5002E-03  5.1545E-02  2.6356E-05  1.8053E-05  7.2655E-07  5.4879E-03  5.1488E-02  2.8363E-07
  5.3858E-03  4.9364E-03  4.7024E-02  2.4919E-05  1.7668E-05  2.2297E-06  4.9239E-03  4.6973E-02  2.4833E-07
  4.3853E-03  4.4191E-03  4.2799E-02  2.3357E-05  1.7048E-05  3.3369E-06  4.4066E-03  4.2753E-02  2.1680E-07
  3.6514E-03  4.0028E-03  3.9340E-02  2.1925E-05  1.6359E-05  4.0262E-06  3.9905E-03  3.9298E-02  1.9208E-07
  3.0448E-03  3.6275E-03  3.6171E-02  2.0499E-05  1.5587E-05  4.4892E-06  3.6155E-03  3.6132E-02  1.7031E-07
  2.6250E-03  3.3461E-03  3.3760E-02  1.9345E-05  1.4914E-05  4.7353E-06  3.3345E-03  3.3724E-02  1.5433E-07
  2.2004E-03  3.0379E-03  3.1082E-02  1.7994E-05  1.4080E-05  4.9017E-06  3.0268E-03  3.1049E-02  1.3721E-07
  1.8875E-03  2.7917E-03  2.8912E-02  1.6852E-05  1.3341E-05  4.9571E-06  2.7811E-03  2.8882E-02  1.2381E-07
  1.6434E-03  2.5856E-03  2.7071E-02  1.5850E-05  1.2672E-05  4.9495E-06  2.5754E-03  2.7043E-02  1.1280E-07
  1.3838E-03  2.3485E-03  2.4926E-02  1.4649E-05  1.1844E-05  4.8776E-06  2.3389E-03  2.4900E-02  1.0038E-07
  1.1810E-03  2.1476E-03  2.3081E-02  1.3589E-05  1.1094E-05  4.7639E-06  2.1386E-03  2.3058E-02  9.0087E-08
  1.0213E-03  1.9768E-03  2.1492E-02  1.2657E-05  1.0421E-05  4.6284E-06  1.9683E-03  2.1470E-02  8.1499E-08
  8.8569E-04  1.8210E-03  2.0025E-02  1.1784E-05  9.7787E-06  4.4735E-06  1.8130E-03  2.0005E-02  7.3813E-08
  7.7253E-04  1.6817E-03  1.8696E-02  1.0984E-05  9.1808E-06  4.3092E-06  1.6741E-03  1.8677E-02  6.7057E-08
  6.8084E-04  1.5609E-03  1.7530E-02  1.0275E-05  8.6441E-06  4.1464E-06  1.5537E-03  1.7513E-02  6.1300E-08
  6.0550E-04  1.4556E-03  1.6503E-02  9.6473E-06  8.1631E-06  3.9897E-06  1.4488E-03  1.6487E-02  5.6358E-08
  5.3972E-04  1.3579E-03  1.5540E-02  9.0554E-06  7.7050E-06  3.8310E-06  1.3515E-03  1.5525E-02  5.1846E-08
  4.8291E-04  1.2687E-03  1.4652E-02  8.5080E-06  7.2776E-06  3.6756E-06  1.2626E-03  1.4638E-02  4.7786E-08
  4.3527E-04  1.1898E-03  1.3859E-02  8.0182E-06  6.8921E-06  3.5294E-06  1.1841E-03  1.3846E-02  4.4245E-08
  3.9526E-04  1.1201E-03  1.3152E-02  7.5813E-06  6.5456E-06  3.3934E-06  1.1147E-03  1.3140E-02  4.1160E-08
  3.5925E-04  1.0544E-03  1.2479E-02  7.1653E-06  6.2135E-06  3.2592E-06  1.0492E-03  1.2468E-02  3.8285E-08
  3.2748E-04  9.9363E-04  1.1852E-02  6.7777E-06  5.9021E-06  3.1299E-06  9.8870E-04  1.1841E-02  3.5661E-08
  3.0029E-04  9.3925E-04  1.1286E-02  6.4285E-06  5.6199E-06  3.0099E-06  9.3455E-04  1.1276E-02  3.3342E-08
  2.7695E-04  8.9064E-04  1.0776E-02  6.1143E-06  5.3648E-06  2.8993E-06  8.8615E-04  1.0766E-02  3.1291E-08
  2.5550E-04  8.4420E-04  1.0285E-02  5.8127E-06  5.1186E-06  2.7906E-06  8.3991E-04  1.0276E-02  2.9354E-08
  2.3618E-04  8.0077E-04  9.8226E-03  5.5293E-06  4.8862E-06  2.6864E-06  7.9668E-04  9.8139E-03  2.7562E-08
  2.1938E-04  7.6156E-04  9.4019E-03  5.2723E-06  4.6745E-06  2.5899E-06  7.5764E-04  9.3936E-03  2.5962E-08
  2.0473E-04  7.2619E-04  9.0197E-03  5.0395E-06  4.4820E-06  2.5011E-06  7.2242E-04  9.0118E-03  2.4532E-08
  1.9102E-04  6.9205E-04  8.6486E-03  4.8143E-06  4.2951E-06  2.4138E-06  6.8844E-04  8.6411E-03  2.3165E-08
  1.7858E-04  6.6000E-04  8.2976E-03  4.6022E-06  4.1184E-06  2.3303E-06  6.5654E-04  8.2905E-03  2.1896E-08
  1.6750E-04  6.3066E-04  7.9745E-03  4.4076E-06  3.9557E-06  2.2527E-06  6.2734E-04  7.9677E-03  2.0743E-08
  1.5779E-04  6.0412E-04  7.6802E-03  4.2312E-06  3.8076E-06  2.1814E-06  6.0092E-04  7.6737E-03  1.9711E-08
  1.4857E-04  5.7829E-04  7.3923E-03  4.0592E-06  3.6629E-06  2.1111E-06  5.7521E-04  7.3860E-03  1.8714E-08
  5.0442E-02  1.3435E-02  1.2166E-01  4.5451E-06  0.0000E+00  0.0000E+00  1.3462E-02  1.2159E-01  6.0177E-07
  3.9468E-02  1.1591E-02  1.0764E-01  7.8998E-06  0.0000E+00  0.0000E+00  1.1609E-02  1.0757E-01  5.0073E-07
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  2.5555E-02  8.9804E-03  8.7013E-02  1.2548E-05  0.0000E+00  0.0000E+00  8.9871E-03  8.6958E-02  3.6479E-07
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  2.0763E-02  7.9823E-03  7.8836E-02  1.4048E-05  3.4176E-06  0.0000E+00  7.9849E-03  7.8785E-02  3.1534E-07
  1.7047E-02  7.1445E-03  7.1828E-02  1.4994E-05  5.7931E-06  0.0000E+00  7.1440E-03  7.1781E-02  2.7502E-07
  1.4412E-02  6.5052E-03  6.6382E-02  1.5481E-05  7.3446E-06  0.0000E+00  6.5027E-03  6.6338E-02  2.4503E-07
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  1.0402E-02  5.4308E-03  5.7009E-02  1.5742E-05  9.3355E-06  0.0000E+00  5.4255E-03  5.6970E-02  1.9630E-07
  9.0113E-03  5.0187E-03  5.3330E-02  1.5627E-05  9.8630E-06  0.0000E+00  5.0125E-03  5.3294E-02  1.7819E-07
  7.8605E-03  4.6560E-03  5.0050E-02  1.5411E-05  1.0201E-05  0.0000E+00  4.6493E-03  5.0015E-02  1.6257E-07
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  4.9993E-03  3.6373E-03  4.0589E-02  1.4184E-05  1.0466E-05  0.0000E+00  3.6296E-03  4.0560E-02  1.2027E-07
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  4.6509E-03  3.4993E-03  3.9274E-02  1.3943E-05  1.0420E-05  4.3669E-07  3.4915E-03  3.9247E-02  1.1474E-07
  3.7655E-03  3.1253E-03  3.5669E-02  1.3184E-05  1.0175E-05  1.3351E-06  3.1175E-03  3.5644E-02  1.0002E-07
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  1.7712E-03  2.0821E-03  2.5203E-02  1.0165E-05  8.4922E-06  2.7923E-06  2.0753E-03  2.5186E-02  6.1181E-08
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  9.0563E-04  1.4390E-03  1.8344E-02  7.6061E-06  6.6582E-06  2.8356E-06  1.4335E-03  1.8331E-02  3.9235E-08
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  6.5910E-04  1.2022E-03  1.5708E-02  6.5271E-06  5.8200E-06  2.6730E-06  1.1974E-03  1.5698E-02  3.1636E-08
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  4.9241E-04  1.0157E-03  1.3577E-02  5.6262E-06  5.0962E-06  2.4742E-06  1.0115E-03  1.3568E-02  2.5865E-08
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  3.8193E-04  8.7377E-04  1.1916E-02  4.9114E-06  4.5073E-06  2.2798E-06  8.7004E-04  1.1908E-02  2.1616E-08
  3.3882E-04  8.1273E-04  1.1190E-02  4.5966E-06  4.2439E-06  2.1844E-06  8.0923E-04  1.1183E-02  1.9832E-08
  3.0178E-04  7.5718E-04  1.0522E-02  4.3064E-06  3.9991E-06  2.0917E-06  7.5388E-04  1.0516E-02  1.8230E-08
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  9.4955E-05  3.4967E-04  5.3591E-03  2.0898E-06  2.0553E-06  1.2303E-06  3.4799E-04  5.3561E-03  7.3093E-09
  8.9273E-05  3.3413E-04  5.1495E-03  2.0034E-06  1.9765E-06  1.1912E-06  3.3251E-04  5.1466E-03  6.9282E-09
  3.9533E-02  8.6877E-03  9.5624E-02  1.9957E-06  0.0000E+00  0.0000E+00  8.6990E-03  9.5592E-02  2.3746E-07
  3.0477E-02  7.4408E-03  8.4050E-02  2.8226E-06  0.0000E+00  0.0000E+00  7.4490E-03  8.4022E-02  1.9631E-07
  2.5060E-02  6.6337E-03  7.6364E-02  3.6916E-06  0.0000E+00  0.0000E+00  6.6397E-03  7.6338E-02  1.7053E-07
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  1.9235E-02  5.6936E-03  6.7186E-02  4.8718E-06  4.6945E-12  0.0000E+00  5.6967E-03  6.7163E-02  1.4143E-07
  1.5447E-02  5.0323E-03  6.0561E-02  5.7181E-06  1.7515E-06  0.0000E+00  5.0335E-03  6.0539E-02  1.2164E-07
  1.2544E-02  4.4804E-03  5.4912E-02  6.3201E-06  3.0105E-06  0.0000E+00  4.4801E-03  5.4892E-02  1.0558E-07
  1.0507E-02  4.0615E-03  5.0544E-02  6.6809E-06  3.8513E-06  0.0000E+00  4.0601E-03  5.0525E-02  9.3694E-08
  8.8836E-03  3.7027E-03  4.6740E-02  6.9031E-06  4.4702E-06  0.0000E+00  3.7005E-03  4.6722E-02  8.3735E-08
  7.4508E-03  3.3622E-03  4.3071E-02  7.0236E-06  4.9536E-06  0.0000E+00  3.3594E-03  4.3055E-02  7.4486E-08
  6.4047E-03  3.0956E-03  4.0156E-02  7.0471E-06  5.2513E-06  0.0000E+00  3.0924E-03  4.0140E-02  6.7392E-08
  5.5461E-03  2.8620E-03  3.7565E-02  7.0080E-06  5.4444E-06  0.0000E+00  2.8584E-03  3.7550E-02  6.1288E-08
  4.9530E-03  2.6913E-03  3.5651E-02  6.9422E-06  5.5432E-06  0.0000E+00  2.6876E-03  3.5636E-02  5.6899E-08
  3.4439E-03  2.2106E-03  3.0147E-02  6.5663E-06  5.6054E-06  0.0000E+00  2.2066E-03  3.0134E-02  4.4877E-08
  3.4439E-03  2.2106E-03  3.0147E-02  6.5663E-06  5.6054E-06  8.4657E-14  2.2066E-03  3.0134E-02  4.4877E-08
  3.1922E-03  2.1230E-03  2.9123E-02  6.4666E-06  5.5809E-06  2.4996E-07  2.1190E-03  2.9111E-02  4.2746E-08
  2.5568E-03  1.8864E-03  2.6325E-02  6.1374E-06  5.4470E-06  7.6163E-07  1.8824E-03  2.6313E-02  3.7086E-08
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  1.1580E-03  1.2341E-03  1.8288E-02  4.7340E-06  4.5109E-06  1.5708E-06  1.2306E-03  1.8281E-02  2.2313E-08
  9.5377E-04  1.1107E-03  1.6702E-02  4.3819E-06  4.2324E-06  1.6138E-06  1.1075E-03  1.6695E-02  1.9679E-08
  8.0579E-04  1.0130E-03  1.5427E-02  4.0829E-06  3.9876E-06  1.6214E-06  1.0099E-03  1.5420E-02  1.7635E-08
  6.9215E-04  9.3178E-04  1.4353E-02  3.8209E-06  3.7676E-06  1.6094E-06  9.2888E-04  1.4347E-02  1.5966E-08
  5.7319E-04  8.3914E-04  1.3110E-02  3.5068E-06  3.4977E-06  1.5746E-06  8.3645E-04  1.3105E-02  1.4098E-08
  4.8187E-04  7.6131E-04  1.2051E-02  3.2308E-06  3.2554E-06  1.5279E-06  7.5880E-04  1.2046E-02  1.2560E-08
  4.1103E-04  6.9564E-04  1.1145E-02  2.9895E-06  3.0398E-06  1.4758E-06  6.9330E-04  1.1140E-02  1.1287E-08
  3.5181E-04  6.3623E-04  1.0314E-02  2.7646E-06  2.8360E-06  1.4187E-06  6.3405E-04  1.0310E-02  1.0155E-08
  3.0308E-04  5.8346E-04  9.5670E-03  2.5599E-06  2.6479E-06  1.3597E-06  5.8143E-04  9.5631E-03  9.1664E-09
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  2.0525E-04  4.6243E-04  7.8146E-03  2.0735E-06  2.1915E-06  1.1950E-06  4.6076E-04  7.8115E-03  6.9671E-09
  1.8196E-04  4.2953E-04  7.3276E-03  1.9376E-06  2.0615E-06  1.1430E-06  4.2796E-04  7.3248E-03  6.3869E-09
  1.6264E-04  4.0061E-04  6.8952E-03  1.8171E-06  1.9452E-06  1.0949E-06  3.9913E-04  6.8925E-03  5.8837E-09
  1.4658E-04  3.7521E-04  6.5118E-03  1.7105E-06  1.8416E-06  1.0507E-06  3.7381E-04  6.5093E-03  5.4473E-09
  1.3226E-04  3.5136E-04  6.1486E-03  1.6098E-06  1.7431E-06  1.0076E-06  3.5004E-04  6.1463E-03  5.0427E-09
  1.1975E-04  3.2944E-04  5.8118E-03  1.5169E-06  1.6514E-06  9.6655E-07  3.2819E-04  5.8096E-03  4.6752E-09
  1.0913E-04  3.0992E-04  5.5092E-03  1.4338E-06  1.5690E-06  9.2890E-07  3.0874E-04  5.5072E-03  4.3519E-09
  1.0010E-04  2.9256E-04  5.2379E-03  1.3598E-06  1.4951E-06  8.9453E-07  2.9143E-04  5.2360E-03  4.0673E-09
  9.1858E-05  2.7605E-04  4.9779E-03  1.2893E-06  1.4242E-06  8.6111E-07  2.7498E-04  4.9761E-03  3.7996E-09
  8.4493E-05  2.6068E-04  4.7341E-03  1.2236E-06  1.3579E-06  8.2938E-07  2.5966E-04  4.7324E-03  3.5529E-09
  7.8138E-05  2.4687E-04  4.5133E-03  1.1646E-06  1.2979E-06  8.0035E-07  2.4590E-04  4.5116E-03  3.3336E-09
  7.2631E-05  2.3446E-04  4.3135E-03  1.1117E-06  1.2438E-06  7.7389E-07  2.3353E-04  4.3119E-03  3.1384E-09
  6.7513E-05  2.2254E-04  4.1202E-03  1.0609E-06  1.1917E-06  7.4814E-07  2.2165E-04  4.1187E-03  2.9524E-09
  6.2903E-05  2.1139E-04  3.9382E-03  1.0136E-06  1.1428E-06  7.2379E-07  2.1054E-04  3.9368E-03  2.7804E-09
  5.8820E-05  2.0123E-04  3.7712E-03  9.7057E-07  1.0981E-06  7.0137E-07  2.0041E-04  3.7698E-03  2.6248E-09
  5.5264E-05  1.9208E-04  3.6197E-03  9.3193E-07  1.0578E-06  6.8099E-07  1.9129E-04  3.6184E-03  2.4859E-09
  5.1905E-05  1.8320E-04  3.4720E-03  8.9458E-07  1.0186E-06  6.6109E-07  1.8244E-04  3.4707E-03  2.3522E-09
  3.0208E-02  5.3303E-03  7.3078E-02  8.0310E-07  0.0000E+00  0.0000E+00  5.3345E-03  7.3065E-02  8.4531E-08
  2.2924E-02  4.5297E-03  6.3785E-02  1.5979E-07  0.0000E+00  0.0000E+00  4.5336E-03  6.3775E-02  6.9392E-08
  1.8630E-02  4.0153E-03  5.7653E-02  2.2513E-07  0.0000E+00  0.0000E+00  4.0186E-03  5.7644E-02  5.9968E-08
  1.4079E-02  3.4203E-03  5.0378E-02  6.4431E-07  0.0000E+00  0.0000E+00  3.4226E-03  5.0370E-02  4.9393E-08
  1.4079E-02  3.4203E-03  5.0378E-02  6.4431E-07  1.8837E-12  0.0000E+00  3.4226E-03  5.0370E-02  4.9393E-08
  1.1166E-02  3.0049E-03  4.5162E-02  1.0823E-06  7.3489E-07  0.0000E+00  3.0063E-03  4.5154E-02  4.2249E-08
  8.9622E-03  2.6604E-03  4.0739E-02  1.4623E-06  1.3134E-06  0.0000E+00  2.6610E-03  4.0732E-02  3.6482E-08
  7.4331E-03  2.4002E-03  3.7336E-02  1.7353E-06  1.7225E-06  0.0000E+00  2.4004E-03  3.7329E-02  3.2234E-08
  6.2263E-03  2.1785E-03  3.4386E-02  1.9437E-06  2.0365E-06  0.0000E+00  2.1783E-03  3.4380E-02  2.8691E-08
  5.1718E-03  1.9691E-03  3.1553E-02  2.1085E-06  2.2911E-06  0.0000E+00  1.9685E-03  3.1547E-02  2.5414E-08
  4.4089E-03  1.8059E-03  2.9311E-02  2.2085E-06  2.4539E-06  0.0000E+00  1.8051E-03  2.9305E-02  2.2910E-08
  3.7881E-03  1.6635E-03  2.7326E-02  2.2701E-06  2.5643E-06  0.0000E+00  1.6624E-03  2.7321E-02  2.0764E-08
  3.3624E-03  1.5597E-03  2.5864E-02  2.2980E-06  2.6241E-06  0.0000E+00  1.5586E-03  2.5859E-02  1.9225E-08
  2.2927E-03  1.2694E-03  2.1685E-02  2.2866E-06  2.6837E-06  0.0000E+00  1.2680E-03  2.1681E-02  1.5034E-08
  2.2927E-03  1.2694E-03  2.1685E-02  2.2866E-06  2.6837E-06  4.5545E-14  1.2680E-03  2.1681E-02  1.5034E-08
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  2.1602E-06  5.2602E-07  2.5407E-06  5.2570E-07  5.1750E-07  3.9871E-07  3.2387E-10  2.0150E-06  2.4987E-20
  2.1602E-06  5.7251E-07  2.2953E-06  5.7223E-07  5.6459E-07  4.5147E-07  2.7434E-10  1.7230E-06  2.1176E-20
  2.1602E-06  6.2138E-07  2.0506E-06  6.2115E-07  6.1417E-07  5.0884E-07  2.2509E-10  1.4294E-06  1.7364E-20
  2.1602E-06  6.5724E-07  1.8711E-06  6.5705E-07  6.5063E-07  5.5256E-07  1.8936E-10  1.2141E-06  1.4400E-20
  2.1602E-06  6.8507E-07  1.7318E-06  6.8491E-07  6.7899E-07  5.8766E-07  1.6190E-10  1.0469E-06  1.2282E-20
  2.1602E-06  7.1455E-07  1.5843E-06  7.1442E-07  7.0908E-07  6.2614E-07  1.3312E-10  8.6991E-07  1.0164E-20
  2.1602E-06  7.3745E-07  1.4697E-06  7.3734E-07  7.3252E-07  6.5715E-07  1.1100E-10  7.3239E-07  8.2586E-21
  2.1602E-06  7.5541E-07  1.3799E-06  7.5532E-07  7.5095E-07  6.8228E-07  9.3822E-11  6.2455E-07  6.9880E-21
  2.1602E-06  7.7057E-07  1.3040E-06  7.7049E-07  7.6653E-07  7.0416E-07  7.9461E-11  5.3353E-07  5.9292E-21
  2.1602E-06  7.8316E-07  1.2410E-06  7.8309E-07  7.7950E-07  7.2286E-07  6.7646E-11  4.5796E-07  4.8704E-21
  2.1602E-06  7.9329E-07  1.1903E-06  7.9324E-07  7.8997E-07  7.3835E-07  5.8212E-11  3.9709E-07  4.2352E-21
  2.1602E-06  8.0158E-07  1.1489E-06  8.0153E-07  7.9854E-07  7.5131E-07  5.0563E-11  3.4736E-07  3.5999E-21
  2.1602E-06  8.0876E-07  1.1129E-06  8.0872E-07  8.0599E-07  7.6284E-07  4.3980E-11  3.0422E-07  3.1764E-21
  2.1602E-06  8.1492E-07  1.0821E-06  8.1488E-07  8.1239E-07  7.7295E-07  3.8373E-11  2.6722E-07  2.7529E-21
  2.1602E-06  8.2005E-07  1.0564E-06  8.2002E-07  8.1773E-07  7.8155E-07  3.3737E-11  2.3642E-07  2.5411E-21
  2.1602E-06  8.2433E-07  1.0350E-06  8.2430E-07  8.2219E-07  7.8887E-07  2.9899E-11  2.1074E-07  2.1176E-21
  2.1602E-06  8.2815E-07  1.0159E-06  8.2812E-07  8.2618E-07  7.9553E-07  2.6492E-11  1.8781E-07  1.9058E-21
  2.1602E-06  8.3149E-07  9.9922E-07  8.3146E-07  8.2968E-07  8.0146E-07  2.3531E-11  1.6776E-07  1.6941E-21
  2.1602E-06  8.3432E-07  9.8504E-07  8.3430E-07  8.3265E-07  8.0658E-07  2.1034E-11  1.5075E-07  1.4823E-21
  2.1602E-06  8.3673E-07  9.7299E-07  8.3671E-07  8.3518E-07  8.1100E-07  1.8922E-11  1.3628E-07  1.4823E-21
  2.1602E-06  8.3789E-07  9.6098E-07  8.3787E-07  8.3645E-07  8.1406E-07  1.7010E-11  1.2311E-07  1.2705E-21
  2.1602E-06  8.3994E-07  9.5129E-07  8.3993E-07  8.3861E-07  8.1786E-07  1.5313E-11  1.1136E-07  1.0588E-21
  2.1602E-06  8.4163E-07  9.4288E-07  8.4162E-07  8.4039E-07  8.2110E-07  1.3861E-11  1.0126E-07  1.0588E-21
  2.1602E-06  8.4308E-07  9.3561E-07  8.4307E-07  8.4192E-07  8.2393E-07  1.2613E-11  9.2541E-08  8.4703E-22
  2.1602E-06  8.4443E-07  9.2888E-07  8.4442E-07  8.4335E-07  8.2659E-07  1.1463E-11  8.4466E-08  8.4703E-22
  2.1602E-06  8.4563E-07  9.2285E-07  8.4562E-07  8.4462E-07  8.2900E-07  1.0438E-11  7.7233E-08  8.4703E-22
  2.1602E-06  8.4669E-07  9.1754E-07  8.4668E-07  8.4575E-07  8.3115E-07  9.5383E-12  7.0859E-08  6.3527E-22
  2.1602E-06  8.4761E-07  9.1294E-07  8.4760E-07  8.4673E-07  8.3303E-07  8.7630E-12  6.5341E-08  6.3527E-22
  2.1602E-06  8.4848E-07  9.0863E-07  8.4847E-07  8.4765E-07  8.3482E-07  8.0376E-12  6.0160E-08  6.3527E-22
pythia8-8.1.86.orig/xmldoc/RandomNumberSeed.xml0000444000175000017500000000234012357055027017544 0ustar  sunsun 
 

    Random-Number Seed
     
 
The seed of the random number generator can be set as follows: 
 
 
Indicates whether a user-set seed should be used every time the 
Pythia::init routine is called. If off, the random number 
generator is initialized with its default seed at the beginning 
of the run, and never again. If on, each new Pythia::init 
call (should several be made in the same run) results in the random 
number being re-initialized, thereby possibly starting over with the 
same sequence, if you do not watch out. 
 
 
 
The seed to be used, if setSeed is on.
     
A negative value gives the default seed,
     
a value 0 gives a random seed based on the time, and
     
a value between 1 and 900,000,000 a unique different random number 
sequence. 
     
 

     
For more on random numbers see here. 
This includes methods to save and restore the state of the generator, 
and some preprogrammed methods to generate non-uniform random numbers. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/ROOTusage.xml0000444000175000017500000002301612357055027016165 0ustar  sunsun 
 

    ROOT usage
     
 
Many PYTHIA users wish to use ROOT 
to produce histograms, or even to run PYTHIA as a plugin to ROOT. 
This is possible. It is not a task supported by the PYTHIA team, 
however. All issues involving ROOT usage should be directed to the 
ROOT team, or to the local support team of your collaboration. 
Below some helpful hints have been collected. The text is based on 
contributions by Rene Brun, Andreas Morsch and Axel Naumann. 
Another example may be found in the 
VINCIA 
add-on program for parton showers, but this should also work for 
a PYTHIA standalone run. 


     
Note that in all that follows, a Linux-type system with a Bash shell 
and GNU Make is assumed. In particular, for Mac OS X, the 
LD_LIBRARY_PATH should be replaced with 
DYLD_LIBRARY_PATH and the extension for shared libraries 
.so should be replaced with .dylib. 
 


     

    Standalone usage
     
 
One can perform the generation and analysis of events in a completely 
standalone fashion, and only use ROOT to process the completed events. 
Some example programs are provided in the rootexamples 
directory, with details provided below and in the README 
file. 
 
The examples assume that you have already compiled the PYTHIA library, 
ROOT is installed, and that all paths have been setup correctly (e.g. 
PATH and LD_LIBRARY_PATH). If these paths are not already set, ROOT 
typically comes with a shell script to set these paths, which can be 
run with 

     
    source /path_to_ROOT_installation/bin/thisroot.sh 

     
 

    Histogramming with ROOT
     
 
An example of histogramming with ROOT is provided in 
rootexamples/hist.cc. It may be compiled and run 
with the following commands 

     
    make hist 
    ./hist.exe 

     
After PYTHIA has run, a ROOT histogram of the charged multiplicity in 
the events will be shown. This is now stored in the 
hist.root file. 
 

    Storing PYTHIA events in ROOT trees
     
 
Instead of only generating histograms, it is possible to store entire 
PYTHIA events in ROOT trees. The tree example in the 
rootexamples subdirectory provides an example of this and 
is comprised of the following files 

       
  
    • tree.cc is the main example program showing how 
  PYTHIA events can be stored in ROOT trees.
      •  
  
    • pythiaLinkdef.h is used by Makefile to generate the 
  dictionary for all PYTHIA classes involved in the IO, as needed for 
  the example.
      •  
  
    • pythiaROOT.h is a small include declaring the 
  Pythia8 namespace as default.
      •  

     
 

     
The example may be compiled and run with 

     
    make tree 
    ./tree.exe 

     
After the example has run, the pytree.root file will now 
be present containing the PYTHIA events. Note that files can become 
quite large when many events are generated. 
 


     

    PYTHIA as a plugin to ROOT
     
 
In more ROOT-centric applications, PYTHIA can be run as a ROOT plug-in. 
This requires a version of ROOT that has been 
 
installed from source. The reason is that the interfaces depend on 
PYTHIA header files that are not distributed with ROOT. Installing ROOT 
is not more difficult than the PYTHIA installation, and some 
guidelines are provided below. 
 

    Installation
     
 
To be run as a plugin, PYTHIA must be compiled as a shared library. 
This is achieved by running the PYTHIA configure script 
with the --enable-shared option before make 
is run.

     
 
Define an environment variable for the path to your 
PYTHIA installation directory 

     
    export PYTHIA8=path_to_PYTHIA8_installation 

     
Before compiling ROOT, 
 
configure ROOT by running the configure command 
including the following options 

     
    --enable-pythia8 
    --with-pythia8-incdir=$PYTHIA8/include 
    --with-pythia8-libdir=$PYTHIA8/lib 

     
In case ROOT has already been compiled before, it will only recompile 
the PYTHIA module and build the library libEGPythia8. 
 

    Interfaces
     
 
When running PYTHIA as a plugin, the exact interface structure becomes 
very relevant. ROOT provides two simple interfaces (wrappers) for 
PYTHIA 8. The code for these interfaces are located in 

     
    path_to_ROOT_source/montecarlo/pythia8 

     

     
The two interfaces are 

       
  
    •  
  TPythia8 is an implementation of the 
   
  TGenerator interface for PYTHIA 8.
       
  It allows you to use PYTHIA within a ROOT macro or as a plug-in 
  for a general-purpose particle generator based on this interface. The 
  main methods of the interface are 
  
         
    
      • GenerateEvent() which triggers the 
    generation of the next event, and 
        •  
    
      • ImportParticles(TClonesArray* particles) 
    which copies the native PYTHIA stack into a 
     
    TClonesArray of 
     
    TParticles. 
  
       
 
  In addition, some methods that are directly related to corresponding 
  PYTHIA methods are implemented 
  
         
    
      • ReadString(const char* string) → 
    readString(...)
        •  
    
      • ReadConfigFile(const char* string) → 
    readFile(...)
        •  
    
      • Initialize(int idAin, int idBin, double ecms) → 
    init(...)
        •  
    
      • EventListing() → 
    event.list()
        •  
    
      • PrintStatistic() → 
    statistics()
        •  
  
       
 
  These methods provide already the basic PYTHIA functionality 
  interactively from the ROOT command line. However, this does not mean 
  that the usage of PYTHIA from within ROOT is restricted to these methods. 
  In compiled code, one can always obtain a pointer to the 
  Pythia instance e.g. 
  
       
    TPythia8        *tp = new TPythia8(); 
    Pythia8::Pythia *p  = tp->Pythia8();
       
  giving access to the full PYTHIA functionality. To access this 
  functionality in the CINT interpreter see the "Advanced usage" 
  section below.
      •  
 
  
    •  
  TPythia8Decayer is an implementation of the 
   
  TVirtualMCDecayer interface.
       
  It allows you to use PYTHIA as a plug-in decayer for simulation 
  frameworks based on the Virtual Monte Carlo 
  (VMC) interface 
  classes. The main methods of the interface are 
  
         
    
      • TPythia8Decayer::Init() for initialisation,
        •  
    
      • TPythia8Decayer::Decay(Int_t pdg, TLorentzVector* p) 
    to decay a particle with PDG code pdg and 
     
    4-momentum p, and 
        •  
    
      • ImportParticles(TClonesArray* particles) 
    to retrieve the decay products as 
     
    TParticles in the 
     
    TClonesArray particles.
        •  
  
      •  

     
 

    An example
     
 
A  
basic example for generating minimum-bias events with PYTHIA 8 inside 
a ROOT macro, and filling some histograms with the kinematics of the 
final-state particles is provided in either of the locations below 

     
    /path_to_ROOT_source/tutorials/pythia/pythia8.C 
    /path_to_ROOT_installation/share/doc/root/tutorials/pythia/pythia8.C 

     

     
Note that before executing this script 

       
  
    • the environment variables PYTHIA8 and 
  PYTHIA8DATA must be setup correctly e.g. 
  
       
    export PYTHIA8=/path_to_PYTHIA_installation 
    export PYTHIA8DATA=$PYTHIA8/xmldoc 
  
      •  
  
    • your LD_LIBRARY_PATH must contain the location of the 
  PYTHIA 8 shared library, e.g. 
  
       
    export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:path_to_PYTHIA8_installation/lib 
  
       
  
      •  

     
The script can then be run with ROOT 

     
    root pythia8.C 

     
After execution, ROOT will display some histograms from the event 
generation. 
 

    Advanced usage
     
 
To access the full PYTHIA functionality from the CINT interpreter, 
a ROOT dictionary must be created. An example of creating this 
dictionary is contained in the rootexamples directory. 
The pythiaDict.so library may be created by running 

     
    make dict 

     
 
This may then be loaded in ROOT giving full access to the full PYTHIA 8 
functionality, e.g. in an interactive session 

     
    gSystem->Load("path_to_PYTHIA8_installation/rootexamples/pythiaDict"); 
    Pythia8::Pythia *p = new Pythia8::Pythia(); 
    p->readString("SoftQCD:nonDiffractive = on"); 

     
   
     
 
 
pythia8-8.1.86.orig/xmldoc/HiddenValleyProcesses.xml0000444000175000017500000005375212357055020020617 0ustar  sunsun 
 

    Hidden Valley Processes
     
 
This Hidden Valley (HV) scenario has been developed specifically 
to allow the study of visible consequences of radiation in a 
hidden sector, by recoil effect. A key aspect is therefore that 
the normal timelike showering machinery has been expanded with a 
third kind of radiation, in addition to the QCD and QED ones. 
These three kinds of radiation are fully interleaved, i.e. 
evolution occurs in a common pT-ordered sequence. 
The scenario is described in Car10. Furthermore 
hadronization in the hidden sector has been implemented. 
Three main scenarios for production into and decay out of the 
hidden sector can be compared, in each case either for an 
Abelian or a non-Abelian gauge group in the HV. For further details 
see Car11. 
 

    Particle content and properties
     
 
For simplicity we assume that the HV contains an unbroken SU(N) 
gauge symmetry. This is used in the calculation of production cross 
sections. These could be rescaled by hand for other gauge groups. 
  
 
is U(1) for Ngauge = 1, is SU(N) if 
Ngauge > 1. Note that pair production cross sections 
contains a factor of Ngauge for new particles 
in the fundamental representation of this group. 
 
 

     
A minimal HV particle content has been introduced. Firstly, there is 
a set of 12 particles that mirrors the Standard Model flavour 
structure, and is charged under both the SM and the HV symmetry groups. 
Each new particle couples flavour-diagonally to a corresponding SM 
state, and has the same SM charge and colour, but in addition is in 
the fundamental representation of the HV colour, as follows: 

    Dv, identity 4900001, partner to the normal 
d quark; 

    Uv, identity 4900002, partner to the normal 
u quark; 

    Sv, identity 4900003, partner to the normal 
s quark; 

    Cv, identity 4900004, partner to the normal 
c quark; 

    Bv, identity 4900005, partner to the normal 
b quark; 

    Tv, identity 4900006, partner to the normal 
t quark; 

    Ev, identity 4900011, partner to the normal 
e lepton; 

    nuEv, identity 4900012, partner to the normal 
nue neutrino; 

    MUv, identity 4900013, partner to the normal 
mu lepton; 

    nuMUv, identity 4900014, partner to the normal 
numu neutrino; 

    TAUv, identity 4900015, partner to the normal 
tau lepton; 

    nuTAUv, identity 4900016, partner to the normal 
nutau neutrino. 

    Collectively we will refer to these states as Fv; 
note, however, that they need not be fermions themselves. 
 

     
In addition the model contains the HV gauge particle, either 
a HV-gluon or a HV-photon, but not both; see Ngauge 
above: 

    gv, identity 4900021, is the massless 
gauge boson of the HV SU(N) group; 

    gammav, identity 4900022,  is the massless 
gauge boson of the HV U(1) group. 
 

     
Finally, for the basic HV scenario, there is a new massive particle 
with only HV charge sitting in the fundamental representation of the 
HV gauge group: 

    qv, identity 4900101. 
 

    The typical scenario would be for pair production of one of the 
states presented first above, e.g. g g → Dv Dvbar. 
Such a Dv can radiate gluons and photons like an SM quark, 
but in addition HV-gluons or HV-photons in a similar fashion. 
Eventually the Dv will decay like Dv → d + qv. 
The strength of this decay is not set as such, but is implicit in 
your choice of width for the Dv state. Thereafter the 
d and qv can radiate further within their 
respective sectors. The qv, gv or gammav 
are invisible, so their fate need not be considered further. 
 

     
While not part of the standard scenario, as an alternative there is 
also a kind of Z' resonance: 

    Zv, identity 4900023, a boson that can couple 
both to pairs of Standard Model fermions and to qv qvbar 
pairs. Mass, total width and branching ratios can be set as convenient. 

    This opens up for alternative processes 
l^+l^-, q qbar → Zv → qv qvbar. 
 

     
The possibility of a leakage back from the hidden sector will be 
considered in the Hadronization section below. For the U(1) 
case the gammav acquires a mass and can decay back to a 
Standard-Model fermion pair, while the qv remains invisible. 
The SU(N) alternative remains unbroken, so confinement holds 
and the gv is massless. A string like 
qv - gv - ... - gv - qvbar can break by the production of 
new qv - qvbar pairs, which will produce qv-qvbar 
mesons. It would be possible to build a rather sophisticated hidden 
sector by trivial extensions of the HV flavour content. For now, 
however, the qv can be duplicated in up to eight copies 
with the same properties except for the flavour charge. These are 
assigned codes 4900101 - 4900108. This gives a total of 64 possible 
lowest-lying mesons. We also include a duplication of that, into two 
multiplets, corresponding to the pseudoscalar and vector mesons of 
QCD. For now, again, these are assumed to have the same mass and 
other properties. Only the flavour-diagonal ones can decay back into 
the Standard-Model sector, however, while the rest remains in the 
hidden sector. It is therefore only necessary to distinguish a few 
states: 

    pivDiag, identity 4900111, a flavour-diagonal 
HV-meson with spin 0 that can decay back into the Standard-Model sector; 

    rhovDiag, identity 4900113, a flavour-diagonal 
HV-meson with spin 1 that can decay back into the Standard-Model sector; 

    pivUp, identity 4900211, an off-diagonal 
HV-meson with spin 0 that is stable and invisible, with an antiparticle 
pivDn with identity -4900211; the particle is 
the one where the code of the flavour is larger than that of the 
antiflavour; 

    rhovUp, identity 4900213, an off-diagonal 
HV-meson with spin 1 that is stable and invisible, with an antiparticle 
rhovDn with identity -4900213; again the particle is 
the one where the code of the flavour is larger than that of the 
antiflavour; 

    ggv, identity 4900991, is only rarely used, 
to handle cases where it is kinematically impossible to produce an 
HV-meson on shell, and it therefore is assumed to de-excite by the 
emission of invisible gv-gv  v-glueball bound states. 
 

     
Only the spin of the HV-gluon or HV-photon is determined unambiguously 
to be unity, for the others you can make your choice. 
  
 
The spin of the HV partners of the SM fermions, e.g. 
Dv, Uv, Ev and nuEv. 
 
 
 
 
  
 
The spin of qv when the Fv (the HV partners of 
the SM fermions) have spin 1/2. (While, if they have spin 0 or 1, 
the qv spin is fixed at 1/2.) 
 
 
 
 
 
If the Fv have spin 1 then their production 
cross section depends on the presence of anomalous magnetic dipole 
moment, i.e. of a kappa different from unity. For other spins 
this parameter is not used. 
 
 
 
allow kinematic mixing or not. 
 
 
 
strength of kinetic mixing. 
 
  

     
You should set the Fv and qv masses appropriately, 
with the latter smaller than the former two to allow decays. 
When U(1) hadronization is switched on, you need to set the 
gammav mass and decay modes. For SU(N) hadronization 
the HV-meson masses should be set to match the qv ones. 
The simplest is to assume that m_qv defines a constituent 
mass, so that  m_HVmeson = 2 m_qv. The hvMesonDiag 
decay modes also need to be set. 
 

    Production processes
     
   
 
Common switch for the group of all hard Hidden Valley processes, 
as listed separately in the following. 
 
   
 
Pair production g g → Dv Dvbar. 
Code 4901. 
 
   
 
Pair production g g → Uv Uvbar. 
Code 4902. 
 
   
 
Pair production g g → Sv Svbar. 
Code 4903. 
 
   
 
Pair production g g → Cv Cvbar. 
Code 4904. 
 
   
 
Pair production g g → Bv Bvbar. 
Code 4905. 
 
   
 
Pair production g g → Tv Tvbar. 
Code 4906. 
 
   
 
Pair production q qbar → Dv Dvbar 
via intermediate gluon. 
Code 4911. 
 
   
 
Pair production q qbar → Uv Uvbar 
via intermediate gluon. 
Code 4912. 
 
   
 
Pair production q qbar → Sv Svbar 
via intermediate gluon. 
Code 4913. 
 
   
 
Pair production q qbar → Cv Cvbar 
via intermediate gluon. 
Code 4914. 
 
   
 
Pair production q qbar → Bv Bvbar 
via intermediate gluon. 
Code 4915. 
 
   
 
Pair production q qbar → Tv Tvbar 
via intermediate gluon. 
Code 4916. 
 
   
 
Pair production f fbar → Dv Dvbar 
via intermediate gamma*/Z^*. 
Code 4921. 
 
   
 
Pair production f fbar → Uv Uvbar 
via intermediate gamma*/Z^*. 
Code 4922. 
 
   
 
Pair production f fbar → Sv Svbar 
via intermediate gamma*/Z^*. 
Code 4923. 
 
   
 
Pair production f fbar → Cv Cvbar 
via intermediate gamma*/Z^*. 
Code 4924. 
 
   
 
Pair production f fbar → Bv Bvbar 
via intermediate gamma*/Z^*. 
Code 4925. 
 
   
 
Pair production f fbar → Tv Tvbar 
via intermediate gamma*/Z^*. 
Code 4926. 
 
   
 
Pair production f fbar → Ev Evbar 
via intermediate gamma*/Z^*. 
Code 4931. 
 
   
 
Pair production f fbar → nuEv nuEvbar 
via intermediate gamma*/Z^*. 
Code 4932. 
 
     
 
Pair production f fbar → MUv MUvbar 
via intermediate gamma*/Z^*. 
Code 4933. 
 
   
 
Pair production f fbar → nuMUv nuMUvbar 
via intermediate gamma*/Z^*. 
Code 4934. 
 
 
 
Pair production f fbar → TAUv TAUvbar 
via intermediate gamma*/Z^*. 
Code 4935. 
 
   
 
Pair production f fbar → nuTAUv nuTAUvbar 
via intermediate gamma*/Z^*. 
Code 4936. 
 
   
 
Production f fbar → Zv where Zv is a generic 
resonance that couples both SM fermion pairs and a qv qvbar 
pair. Not part of the framework of the above processes, but as an 
alternative. Code 4941. 
 
 

    Timelike showers
     
 
One key point of this HV scenario is that radiation off the 
HV-charged particles is allowed. This is done by the standard 
final-state showering machinery. (HV particles are not produced 
in initial-state radiation.) All the (anti)particles Fv 
and qv have one (negative) unit of HV charge. That is, 
radiation closely mimics the one in QCD. Both QCD, QED and HV 
radiation are interleaved in one common sequence of decreasing 
emission pT scales. Each radiation kind defines a set of 
dipoles, usually spanned between a radiating parton and its recoil 
partner, such that the invariant mass of the pair is not changed 
when a radiation occurs. This need not follow from trivial colour 
assignments, but is often obvious. For instance,  in a decay 
Qv → q + qv the QCD dipole is between the q and 
the hole after Qv, but qv becomes the recoiler 
should a radiation occur, while the role of q and qv 
is reversed for HV radiation. 
 

    This also includes matrix-element corrections for a number 
of decay processes, with colour, spin and mass effects included 
Nor01. They were calculated within the context of the 
particle content of the MSSM, however, which does not include spin 1 
particles with unit colour charge. In such cases spin 0 is assumed 
instead. By experience, the main effects come from mass and colour 
flow anyway, so this is not a bad approximation. (Furthermore the 
MSSM formulae allow for gamma_5 factors from wave 
functions or vertices; these are even less important.) 
 

    An emitted gv can branch in its turn, 
gv → gv + gv. This radiation may affect momenta 
in the visible sector by recoil effect, but this is a minor 
effect relative to the primary emission of the gv. 
 
 
switch on final-state shower of gv or gammav 
in a HV production process. 
 
 
 
fixed alpha scale of gv/gammav emission; corresponds to 
alpha_strong of QCD or alpha_em of QED. For 
shower branchings such as Dv → Dv + gv the coupling is 
multiplied by C_F = (N^2 - 1) / (2 * N) for an 
SU(N) group and for gv → gv + gv by N. 
 
 
 
lowest allowed pT of emission. Chosen with same default 
as in normal QCD showers. 
 
 

    Hadronization
     
 
By default the HV particles with no Standard Model couplings 
are not visible. Their presence can only be deduced by the 
observation of missing (transverse) momentum in the event as a 
whole. In the current implementation it is possible to simulate 
two different scenarios where activity can leak back from the 
hidden sector. 
 

     
The first possibility is relevant for the U(1) scenario. 
The U(1) group may be broken, so that the gammav 
acquires a mass. Furthermore, the gammav may have a 
small mixing angle with the normal photon, or with some Z' 
state or other mediator, and may thus decay back into Standard 
Model particles. The qv still escapes undetected; 
recall that there is no confinement in the U(1) option. 
 

     
In order to enable this machinery two commands are necessary, 
4900022:m0 = ... to set the  gammav mass 
to the desired value, and 4900022:onMode = on to enable 
gammav decays. The default gammav decay 
table contains all Standard Model fermion-antifermion pairs, 
except top, with branching ratios in proportion to their coupling 
to the photon, whenever the production channel is allowed by 
kinematics. This table could easily be tailored to more specific 
models and needs. For instance, for a mass below 1 - 2 GeV, it 
would make sense to construct a table of exclusive hadronic decay 
channels rather than go the way via a hadronizing quark pair. 
 

     
The gammav are expected to decay so rapidly that no 
secondary vertex will be detectable. However, it is possible to 
set 4900022:tau0 to a finite lifetime (in mm) that 
will be used to create separated secondary vertices. 
 

     
The second, more interesting, possibility is relevant for the 
SU(N) scenarios. Here the gauge group remains unbroken, i.e. 
gv is massless, and the partons are confined. Like in 
QCD, the HV-partons can therefore be arranged in one single 
HV-colour-ordered chain, with a qv in one end, a 
qvbar in the other, and a varying number of 
gv in between. Each event will only contain (at most) 
one such string, (i) since perturbative branchings 
gv → qv qvbar have been neglected, as is a reasonable 
approximation for QCD, and (ii) since HV-colours are assigned in the 
N_C → infinity limit, just like in the handling of 
string fragmentation in QCD. The HV-string can then fragment by the 
nonperturbative creation of qv qvbar pairs, leading to 
the formation of HV-mesons along the string, each with its 
qv from one vertex and its qvbar from 
the neighbouring one. 
 

     
Since, so far, we have only assumed there to be one qv 
species, all produced qv qvbar HV-mesons are of the 
same flavour-diagonal species. Such an HV-meson can decay back to 
the normal sector, typically by whatever mediator particle allowed 
production in the first place. In this framework the full energy put 
into the HV sector will leak back to the normal one. To allow more 
flexibility, an ad hoc possibility of n_Flav different 
qv species is introduced. For now they are all assumed 
to have the same mass and other properties, but distinguished by 
some flavour-like property. Only the flavour-diagonal ones can decay, 
meaning that only a fraction (approximately) 1/n_Flav of the 
HV-energy leaks back, while the rest remains in the hidden sector. 
 

     
This scenario contains more parameters than the first one, for the 
U(1) group. They can be subdivided into two sets. One is 
related to particle properties, both for qv and for the 
two different kinds of HV-mesons, here labeled 4900111 and 4900113 
for the diagonal ones, and +-4900211 and +-4900213 for the 
off-diagonal ones. It makes sense to set the HV-meson masses to be 
twice the qv one, as in a simple constituent mass context. 
Furthermore the hvMesonDiag decay modes need to be set up. 
Like with the 
gammav in the U(1) option, the default decay table 
is based on the branching ratios of an off-shell photon. 
 

     
The second set are fragmentation parameters that extend or replace 
the ones used in normal string fragmentation. Some of them are not 
encoded in the same way as normally, however, but rather scale as 
the qv mass is changed, so as to keep a sensible default 
behaviour. This does not mean that deviations from this set should 
not be explored, or that other scaling rules could be preferred 
within alternative scenarios. These parameters are as follows. 
 
 
switch on string fragmentation of the HV partonic system. 
Only relevant for SU(N) scenarios. 
 
   
 
number of different flavours assumed to exist in the hadronization 
description, leading to approximately 1/n_Flav of the 
produced HV-mesons being flavour-diagonal and capable to decay back 
to Standard Model particles. 
 
   
 
fraction of HV-mesons that are assigned spin 1 (vector), with the 
remainder spin 0 (pseudoscalar). Assuming the qv have 
spin 1/2 and the mass splitting is small, spin counting 
predicts that 3/4 of the mesons should have spin 1. 
 
 
 
The a parameter of the Lund symmetric fragmentation function. 
See the normal fragmentation 
function description for the shape of this function. 
 
 
The b parameter of the Lund symmetric fragmentation function, 
multiplied by the square of the qv mass. This scaling ensures 
that the fragmentation function keeps the same shape when the 
qv mass is changed (neglecting transverse momenta). 
 
 
 
r_qv, i.e. the Bowler correction factor to the Lund symmetric 
fragmentation function, which could be made weaker or stronger than 
its natural value. 
 
 
 
the width sigma of transverse momenta in the HV fragmentation 
process, normalized to the qv mass. This ensures that 
sigma scales proportionately to m_qv. 
See the normal fragmentation 
pT description for conventions for factors of 2. 
 
  
 
 
 
 
pythia8-8.1.86.orig/xmldoc/cteq6l1.tbl0000444000175000017500000065531212357055015015624 0ustar  sunsun Parton Distribution Table : cteq6l1
  Ordr, Nfl, lambda        Qmass 1,  2,  3,         4,  5,  6
    1.    5. 0.1652    0.000    0.000    0.200    1.300    4.500  180.000
   NX,  NT,  NfMx
   95   19    5
QINI, QMAX, (QV(I), I =0, NT)
 1.30000E+00 1.00000E+04
 1.30000E+00 1.53865E+00 1.84636E+00 2.24885E+00 2.78358E+00 3.50602E+00
 4.50000E+00 6.20054E+00 8.81356E+00 1.29625E+01 1.97913E+01 3.14839E+01
 5.23915E+01 9.15982E+01 1.69063E+02 3.31152E+02 6.92354E+02 1.55489E+03
 3.77707E+03 1.00000E+04
XMIN, (XV(I), I =0, NX)
 1.00000E-06
 0.00000E+00 1.00000E-06 1.28121E-06 1.64152E-06 2.10317E-06 2.69463E-06
 3.45242E-06 4.42329E-06 5.66715E-06 7.26076E-06 9.30241E-06 1.19180E-05
 1.52689E-05 1.95617E-05 2.50609E-05 3.21053E-05 4.11287E-05 5.26863E-05
 6.74889E-05 8.64459E-05 1.10720E-04 1.41800E-04 1.81585E-04 2.32503E-04
 2.97652E-04 3.80981E-04 4.87518E-04 6.26039E-04 8.00452E-04 1.02297E-03
 1.30657E-03 1.66759E-03 2.12729E-03 2.71054E-03 3.44865E-03 4.37927E-03
 5.54908E-03 7.01192E-03 8.83064E-03 1.10763E-02 1.38266E-02 1.71641E-02
 2.11717E-02 2.59364E-02 3.15062E-02 3.79623E-02 4.53425E-02 5.36750E-02
 6.29705E-02 7.32221E-02 8.44039E-02 9.64793E-02 1.09332E-01 1.23067E-01
 1.37507E-01 1.52639E-01 1.68416E-01 1.84794E-01 2.01731E-01 2.19016E-01
 2.36948E-01 2.55242E-01 2.73927E-01 2.92954E-01 3.12340E-01 3.32036E-01
 3.52019E-01 3.72282E-01 3.92772E-01 4.13533E-01 4.34326E-01 4.55495E-01
 4.76836E-01 4.98342E-01 5.20006E-01 5.41818E-01 5.63773E-01 5.85861E-01
 6.08077E-01 6.30459E-01 6.52800E-01 6.75387E-01 6.98063E-01 7.20830E-01
 7.43683E-01 7.66623E-01 7.89636E-01 8.12791E-01 8.35940E-01 8.59175E-01
 8.82485E-01 9.05866E-01 9.29311E-01 9.52817E-01 9.76387E-01 1.00000E+00
Parton Distribution Table:
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   3.69126E+06   1.86219E-10   0.00000E+00   9.31095E-11
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   1.16529E-11
   5.82645E-12   1.16387E-11   5.81935E-12   0.00000E+00   0.00000E+00
   1.45661E-12   0.00000E+00   1.45484E-12   0.00000E+00   0.00000E+00
   0.00000E+00   3.63709E-13   3.63709E-13   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   9.09273E-14   4.54636E-14   0.00000E+00
   1.13798E-14   0.00000E+00   0.00000E+00   5.68989E-15   0.00000E+00
   5.68295E-15   2.84495E-15   1.42247E-15   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   3.55618E-16   1.77809E-16
   0.00000E+00   1.77809E-16   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   8.87962E-17   0.00000E+00   4.44523E-17   4.44523E-17
   4.43981E-17   0.00000E+00   0.00000E+00   4.43981E-17   4.43981E-17
   2.21990E-17   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   1.10995E-17   5.55654E-18   0.00000E+00
   0.00000E+00   2.77827E-18   0.00000E+00   2.77827E-18   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   6.94567E-19   0.00000E+00
   0.00000E+00   6.93720E-19   3.47284E-19   6.93720E-19   0.00000E+00
   0.00000E+00   0.00000E+00   1.73430E-19   0.00000E+00   0.00000E+00
   0.00000E+00   1.08526E-20   1.08394E-20   0.00000E+00   3.39144E-22
   0.00000E+00   0.00000E+00   1.37473E+06   1.02159E+06   7.43741E+05
   5.41190E+05   3.93538E+05   2.85970E+05   2.07654E+05   1.50673E+05
   1.09242E+05   7.91400E+04   5.72842E+04   4.14280E+04   2.99335E+04
   2.16077E+04   1.55822E+04   1.12254E+04   8.07812E+03   5.80668E+03
   4.16905E+03   2.98960E+03   2.14108E+03   1.53133E+03   1.09369E+03
   7.79973E+02   5.55383E+02   3.94825E+02   2.80239E+02   1.97503E+02
   1.39710E+02   9.86437E+01   6.95144E+01   4.88893E+01   3.42940E+01
   2.40082E+01   1.67750E+01   1.17014E+01   8.14734E+00   5.66467E+00
   3.93425E+00   2.73067E+00   1.89515E+00   1.31606E+00   9.15169E-01
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   3.37674E-02   2.54055E-02   1.88219E-02   1.37060E-02   9.79402E-03
   6.83901E-03   4.67192E-03   3.09596E-03   1.98697E-03   1.22865E-03
   7.27321E-04   4.08755E-04   2.16091E-04   1.05686E-04   4.71768E-05
   1.86921E-05   6.34990E-06   1.76404E-06   3.74987E-07   5.66567E-08
   4.67328E-09   0.00000E+00   6.34469E+07   4.60840E+07   3.26332E+07
   2.30942E+07   1.63308E+07   1.15388E+07   8.14628E+06   5.74636E+06
   4.04999E+06   2.85190E+06   2.00645E+06   1.41034E+06   9.90422E+05
   6.94872E+05   4.87051E+05   3.41053E+05   2.38586E+05   1.66739E+05
   1.16413E+05   8.11968E+04   5.65791E+04   3.93871E+04   2.73941E+04
   1.90357E+04   1.32166E+04   9.16815E+03   6.35843E+03   4.38300E+03
   3.03865E+03   2.10690E+03   1.46153E+03   1.01479E+03   7.05234E+02
   4.91211E+02   3.43204E+02   2.40822E+02   1.69853E+02   1.20593E+02
   8.63099E+01   6.23608E+01   4.55496E+01   3.36747E+01   2.52231E+01
   1.91430E+01   1.47404E+01   1.14979E+01   9.08083E+00   7.25337E+00
   5.85179E+00   4.76194E+00   3.90377E+00   3.21958E+00   2.67116E+00
   2.22196E+00   1.85463E+00   1.55108E+00   1.29872E+00   1.08789E+00
   9.10702E-01   7.62905E-01   6.36860E-01   5.30795E-01   4.41110E-01
   3.65365E-01   3.01304E-01   2.47284E-01   2.01860E-01   1.63751E-01
   1.31995E-01   1.05501E-01   8.37902E-02   6.58029E-02   5.11554E-02
   3.93214E-02   2.98487E-02   2.23435E-02   1.64675E-02   1.19275E-02
   8.47629E-03   5.88503E-03   3.99660E-03   2.63217E-03   1.67850E-03
   1.03095E-03   6.06005E-04   3.38062E-04   1.77337E-04   8.60283E-05
   3.80819E-05   1.49641E-05   5.04613E-06   1.39561E-06   2.97316E-07
   4.55082E-08   3.88885E-09   0.00000E+00   7.64488E+07   5.53815E+07
   3.90894E+07   2.75725E+07   1.94329E+07   1.36846E+07   9.62832E+06
   6.76842E+06   4.75372E+06   3.33565E+06   2.33840E+06   1.63772E+06
   1.14588E+06   8.00950E+05   5.59285E+05   3.90135E+05   2.71862E+05
   1.89245E+05   1.31598E+05   9.14142E+04   6.34353E+04   4.39744E+04
   3.04538E+04   2.10698E+04   1.45640E+04   1.00571E+04   6.94303E+03
   4.76330E+03   3.28663E+03   2.26784E+03   1.56546E+03   1.08154E+03
   7.47818E+02   5.18212E+02   3.60206E+02   2.51449E+02   1.76436E+02
   1.24627E+02   8.87479E+01   6.38063E+01   4.63820E+01   3.41308E+01
   2.54501E+01   1.92315E+01   1.47466E+01   1.14558E+01   9.01151E+00
   7.16972E+00   5.76180E+00   4.67060E+00   3.81416E+00   3.13356E+00
   2.58985E+00   2.14601E+00   1.78433E+00   1.48650E+00   1.23979E+00
   1.03446E+00   8.62547E-01   7.19709E-01   5.98380E-01   4.96703E-01
   4.11089E-01   3.39091E-01   2.78466E-01   2.27573E-01   1.84974E-01
   1.49401E-01   1.19898E-01   9.54027E-02   7.54275E-02   5.89608E-02
   4.56200E-02   3.48977E-02   2.63602E-02   1.96328E-02   1.43947E-02
   1.03707E-02   7.32962E-03   5.05994E-03   3.41616E-03   2.23612E-03
   1.41685E-03   8.64446E-04   5.04582E-04   2.79418E-04   1.45450E-04
   6.99926E-05   3.07289E-05   1.19772E-05   4.01020E-06   1.10444E-06
   2.35759E-07   3.64994E-08   3.21967E-09   0.00000E+00   9.13651E+07
   6.60183E+07   4.64500E+07   3.26601E+07   2.29443E+07   1.61046E+07
   1.12937E+07   7.91261E+06   5.53854E+06   3.87305E+06   2.70572E+06
   1.88833E+06   1.31652E+06   9.16904E+05   6.37911E+05   4.43330E+05
   3.07767E+05   2.13421E+05   1.47833E+05   1.02287E+05   7.06963E+04
   4.88083E+04   3.36615E+04   2.31910E+04   1.59615E+04   1.09739E+04
   7.54238E+03   5.15078E+03   3.53769E+03   2.42969E+03   1.66923E+03
   1.14769E+03   7.89689E+02   5.44533E+02   3.76625E+02   2.61605E+02
   1.82653E+02   1.28385E+02   9.09820E+01   6.51030E+01   4.71067E+01
   3.45095E+01   2.56216E+01   1.92803E+01   1.47243E+01   1.13933E+01
   8.92762E+00   7.07576E+00   5.66466E+00   4.57443E+00   3.72147E+00
   3.04579E+00   2.50777E+00   2.07005E+00   1.71457E+00   1.42288E+00
   1.18213E+00   9.82502E-01   8.15993E-01   6.78183E-01   5.61591E-01
   4.64282E-01   3.82688E-01   3.14364E-01   2.57083E-01   2.09212E-01
   1.69323E-01   1.36168E-01   1.08800E-01   8.61847E-02   6.78328E-02
   5.27793E-02   4.06450E-02   3.09429E-02   2.32583E-02   1.72355E-02
   1.25719E-02   9.00948E-03   6.33280E-03   4.34700E-03   2.91771E-03
   1.89821E-03   1.19511E-03   7.24322E-04   4.19853E-04   2.30804E-04
   1.19230E-04   5.69190E-05   2.47869E-05   9.58467E-06   3.18707E-06
   8.74235E-07   1.86959E-07   2.92339E-08   2.65384E-09   0.00000E+00
pythia8-8.1.86.orig/xmldoc/Histograms.xml0000444000175000017500000003105412357055020016467 0ustar  sunsun 
     

    Histograms
     
 
The Hist class gives a simple implementation of 
one-dimensional histograms, useful for quick-and-dirty testing, 
without the need to link to more sophisticated packages. 
For this reason it is used in many of the 
sample main programs 
found in the examples subdirectory. 
 

    Basic principles
     
 
We here provide a simple overview of what is involved. 
As a first step you need to declare a histogram, with name, 
title, number of bins and x range (from, to). 

     
   Hist ZpT( "Z0 pT spectrum", 100, 0., 100.); 

     
Alternatively you can first declare it and later define it: 

     
   Hist ZpT; 
   ZpT.book( "Z0 pT spectrum", 100, 0., 100.); 

     
 
Once declared, its contents can be added by repeated calls to 
fill, 

     
   ZpT.fill( 22.7, 1.); 

     
where the first argument is the x value and the second the 
weight. Since the weight defaults to 1 the last argument could have 
been omitted in this case. 
 

     
A set of overloaded operators have been defined, so that histograms 
can be added, subtracted, divided or multiplied by each other. Then the 
contents are modified accordingly bin by bin. Thus the relative 
deviation between two histograms data and 
theory can be found as 

     
  diff = (data - theory) / (data + theory); 

     
assuming that diff, data and theory 
have been booked with the same number of bins and x range. That 
responsibility rests on the user; some checks are made for compatibility, 
but not enough to catch all possible mistakes. 
 

     
Also overloaded operations with double real numbers are available. 
Again these four operations are defined bin by bin, i.e. the 
corresponding amount is added to, subtracted from, multiplied by or 
divided by each bin. The double number can come before or after the 
histograms, with obvious results. Thus the inverse of a histogram 
result is given by 1. / result. 
The two kind of operations can be combined, e.g. 

     
  allpT = ZpT + 2. * WpT 

     
Finally, also the +=, -+, *=, /= are overloaded, with 
the right-hand side being either a histogram or a real number. 
 

    Output format
     
 

     
A histogram can be printed by making use of the overloaded << 
operator, e.g.: 

     
   cout << ZpT; 

     
The printout format is inspired by the old HBOOK one. To understand 
how to read this format, consider the simplified example 

     
                                     
        3.50*10^ 2  9 
        3.00*10^ 2  X   7 
        2.50*10^ 2  X  1X 
        2.00*10^ 2  X6 XX 
        1.50*10^ 2  XX5XX 
        1.00*10^ 2  XXXXX 
        0.50*10^ 2  XXXXX 
 
          Contents 
            *10^ 2  31122 
            *10^ 1  47208 
            *10^ 0  79373 
 
          Low edge  -- 
            *10^ 1  10001 
            *10^ 0  05050 

     
The key feature is that the Contents and 
Low edge have to be read vertically. For instance, 
the first bin has the contents 
3 * 10^2 + 4 * 10^1 + 7 * 10^0 = 347. Correspondingly, 
the other bins have contents 179, 123, 207 and 283. The first bin 
stretches from -(1 * 10^1 + 0 * 10^0) = -10 to the 
beginning of the second bin, at -(0 * 10^1 + 5 * 10^0) = -5. 
 

     
The visual representation above the contents give a simple impression 
of the shape. An X means that the contents are filled up 
to this level, a digit in the topmost row the fraction to which the 
last level is filled. So the 9 of the first column indicates this bin 
is filled 9/10 of the way from 3.00*10^2 = 300 to 
3.50*10^2 = 350, i.e. somewhere close to 345, 
or more precisely in the range 342.5 to 347.5. 
 

     
The printout also provides some other information, such as the 
number of entries, i.e. how many times the histogram has been filled, 
the total weight inside the histogram, the total weight in underflow 
and overflow, and the mean value and root-mean-square width (disregarding 
underflow and overflow). The mean and width assumes that all the 
contents is in the middle of the respective bin. This is especially 
relevant when you plot a integer quantity, such as a multiplicity. 
Then it makes sense to book with limits that are half-integers, e.g. 

     
   Hist multMPI( "number of multiparton interactions", 20, -0.5, 19.5); 

     
so that the bins are centered at 0, 1, 2, ..., respectively.  This also 
avoids ambiguities which bin gets to be filled if entries are 
exactly at the border between two bins. Also note that the 
fill( xValue) method automatically performs a cast 
to double precision where necessary, i.e. xValue 
can be an integer. 
 

    The methods
     
 
We here collect a more complete and formal overview of the methods. 
    
 
declare a histogram, but does not define it. 
 
 
 
declare and define a histogram, where 
 
is a string with the title of the histogram at output, 
 
 
is the number of bin the x range will be subdivided into, 
limited to be at most 1000, 
 
 
is the lower edge of the histogram, 
 
 
is the upper edge of the histogram. 
 
 
    
 
creates an identical copy of the histogram in the argument, 
including bin contents. 
 
    
 
creates an identical copy of the histogram in the argument, 
including bin contents, except that a new title is provided 
as first argument. 
 
    
 
copies all properties of the histogram in the argument, 
except that the original histogram title is retained. 
 
 
 
define a histogram that previously was only declared; 
see above for the meaning of the arguments. 
 
 
 
change the title of a histogram, but keep other properties unchanged. 
 
 
 
reset bin contents, but keep other histogram properties unchanged. 
 
 
 
fill the histogram, where 
 
is the x position where the filling should occur, and 
 
 
is the amount of weight to be added at this x value. 
 
 
 
 
appends a simple histogram printout (see above for format) to the 
ostream, while leaving the histogram object itself 
unchanged. At most 100 columns are allowed to be displayed. 
If the number of bins is larger than 100 then the contents of 
adjacent bins are added to give the value in each column. (Two by two 
up to 200 bins, three by three up to 300, and so on, with the very 
last column possibly summing fewer rows than the others.) 
 
 
 
 
 
print a two-column table, where the first column gives the center of 
each bin and the second one the corresponding bin contents. The table 
may be useful for plotting e.g. with Gnuplot. 

    The desired output stream or file name can be provided as argument. 
The former is more flexible (e.g., it allows easy append to an existing 
file), whereas the latter is simpler for the case that each histogram 
should be a file of its own. 

    An optional printOverUnder = true argument allows also 
underflow and overflow contents to be printed. (The arbitrary x 
coordinates for these are placed as if corresponding to same-size bins 
just below or above the regular histogram bins.) 

    An optional xMidBin = false argument will have the
x value at the beginning of each bin printed, rather than the
default midpoint value.
     
 
 
 
 
print a three-column table, where the first column gives the center of 
each bin and the second and third ones the corresponding bin contents 
of the two histograms. Only works if the two histograms have the same 
x axis (within a tiny tolerance), else nothing will be done. 
The optional last two arguments allows also underflow and overflow 
contents to be printed, and the x to refer to the beginning
of the bin rather than the center; see above. 
 
 
 
return the value in bin iBin, ranging from 1 through 
numberOfBins, with 0 for underflow and 
numberOfBins + 1 for overflow. 
 
 
 
return the number of entries, i.e. the number of time that 
fill(...) has been called. 
 
 
 
checks that the number of bins and upper and lower limits are the 
same as in the histogram in the argument. 
 
 
 
by default take 10-logarithm of current contents bin by bin. With 
optional argument false instead take e-logarithm 
of contents bin by bin. If to be used, then right before the 
histogram is output. 
 
 
 
take square root of current contents bin by bin, with negative contents 
set to zero. 
 
 
 
 
 
adds or subtracts the current histogram by the contents of the 
histogram in the argument if sameSize(...) is true, 
else does nothing. 
 
 
 
 
 
multiplies or divides the current histogram by the contents of the 
histogram in the argument if sameSize(...) is true, 
else does nothing. 
 
 
 
 
 
adds or subtracts each bin content by the common offset f. 
 
 
 
 
 
multiplies or divides each bin content by the common factor f. 
 
 
 
 
 
 
 
add a constant to a histogram or two histograms to each other, bin by bin. 
 
 
 
 
 
 
 
subtract a histogram from a constant, a constant from a histogram, 
or two histograms from each other, bin by bin. 
 
 
 
 
 
 
 
multiply a constant by a histogram or two histograms by each other, 
bin by bin. 
 
 
 
 
 
 
 
divide a constant by a histogram, a histogram by a constant, 
or two histograms by each other, bin by bin. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/pythia8100.tex0000444000175000017500000022726312357055027016176 0ustar  sunsun%% Computer Physics Communications class file, slightly modified
%% for reduced inter-paragraph and inter-section spacing.
\documentclass{elsartmod}
 
% Include graphics package.
\usepackage{axodraw}

% Standardised indentation. 
\newcommand{\cindent}{\hspace*{10mm}~}

%Vertical positioning of page
%\setlength{\topmargin}{20mm}

\begin{document}
\begin{frontmatter}
 
\begin{flushright}
arXiv:0710.3820\\ 
CERN-LCGAPP-2007-04\\
LU TP 07-28\\
FERMILAB-PUB-07-512-CD-T\\
October 2007\\
\end{flushright}

\title{A Brief Introduction to PYTHIA 8.1}

\author[a,b]{Torbj\"orn Sj\"ostrand\thanksref{author}},
\author[c]{Stephen Mrenna},
\author[a,c]{Peter Skands}

\thanks[author]{Corresponding author, e-mail: torbjorn@thep.lu.se}

\address[a]{CERN/PH, CH--1211 Geneva 23, Switzerland}
\address[b]{Department of Theoretical Physics, Lund University,\\ 
S\"olvegatan 14A, SE-223 62 Lund, Sweden}
\address[c]{Fermi National Accelerator Laboratory, Batavia, 
IL  60510, USA}

\begin{abstract}
The \textsc{Pythia} program is a standard tool for the generation 
of high-energy collisions, comprising a coherent set of physics
models for the evolution from a few-body hard process to a complex
multihadronic final state. It contains a library of hard processes 
and models for initial- and final-state parton showers, multiple 
parton-parton interactions, beam remnants, string fragmentation and 
particle decays. It also has a set of utilities and interfaces to 
external programs. While previous versions were written in Fortran, 
\textsc{Pythia}~8 represents a complete rewrite in C++. The current 
release is the first main one after this transition, and does not yet 
in every respect replace the old code. It does contain some new physics 
aspects, on the other hand, that should make it an attractive option 
especially for LHC physics studies.
\begin{flushleft}
  %Insert your suggested PACS number here
PACS: 13.66.-a, 13.85.-t, 12.38.-t, 12.15.-y, 12.60.-i
\end{flushleft}

\begin{keyword}
event generators, multiparticle production, 
parton showers, multiple interactions, hadronisation
\end{keyword}

\end{abstract}

\dedicated{\rule{0mm}{8mm}Dedicated to the memory of\\[3mm] 
\textbf{\textit{\Large Hans-Uno Bengtsson}}\\[1mm]
1953 -- 2007\\
The father of PYTHIA}

\end{frontmatter}

\clearpage

% Computer program descriptions should contain the following
% PROGRAM SUMMARY.

{\bf NEW VERSION PROGRAM SUMMARY}
  %Delete as appropriate.

\begin{small}
\noindent
{\em Manuscript Title:A Brief Introduction to \textsc{Pythia} 8.1}  \\
{\em Authors:Torbj\"orn Sj\"ostrand, Stephen Mrenna, Peter Skands} \\
{\em Program Title: \textsc{Pythia} 8.1}                      \\
{\em Journal Reference:}                                      \\
  %Leave blank, supplied by Elsevier.
{\em Catalogue identifier:}                                   \\
  %Leave blank, supplied by Elsevier.
{\em Licensing provisions: GPL version 2}                     \\
  %enter "none" if CPC non-profit use license is sufficient.
{\em Programming language: C++}                               \\
{\em Computer: commodity PCs}                               \\
  %Computer(s) for which program has been designed.
{\em Operating systems: Linux; should also work on other systems} \\
  %Operating system(s) for which program has been designed.
{\em RAM: 8} megabytes                                        \\
  %RAM in bytes required to execute program with typical data.
%{\em Number of processors used:}                              \\
%  %If more than one processor.
%{\em Supplementary material:}                                 \\
%  % Fill in if necessary, otherwise leave out.
{\em Keywords: event generators, multiparticle production, 
parton showers, multiple interactions, hadronisation}         \\
  % Please give some freely chosen keywords that we can use in a
  % cumulative keyword index.
{\em PACS: 13.66.-a, 13.85.-t, 12.38.-t, 12.15.-y, 12.60.-i}  \\
  % see http://www.aip.org/pacs/pacs.html 
{\em Classification: 11.2  Phase Space and Event Simulation}   \\
  %Classify using CPC Program Library Subject Index, see (
  % http://cpc.cs.qub.ac.uk/subjectIndex/SUBJECT_index.html)
  %e.g. 4.4 Feynman diagrams, 5 Computer Algebra.
%{\em External routines/libraries: none}                           \\
%  % Fill in if necessary, otherwise leave out.
%{\em Subprograms used:}                                       \\
%  %Fill in if necessary, otherwise leave out.
{\em Catalogue identifier of previous version: ADNN\_v1\_0}       \\
  %Only required for a New Version summary, otherwise leave out.
{\em Journal reference of previous version: T. Sj\"ostrand, P. Ed\'en, 
C. Friberg, L. L\"onnblad, G. Miu, S. Mrenna and E. Norrbin, 
Computer Physics Commun. {\bf 135} (2001) 238}                  \\
  %Only required for a New Version summary, otherwise leave out.
{\em Does the new version supersede the previous version?: yes, partly} \\
  %Only required for a New Version summary, otherwise leave out.
    \\
{\em Nature of problem: high-energy collisions between 
elementary particles normally give rise to complex final states,
with large multiplicities of hadrons, leptons, photons and neutrinos.
The relation between these final states and the underlying 
physics description is not a simple one, for two main reasons. 
Firstly, we do not even in principle have a complete understanding 
of the physics. Secondly, any analytical approach is made 
intractable by the large multiplicities.  }\\
  %Describe the nature of the problem here.
   \\
{\em Solution method: complete events are generated by Monte Carlo 
methods. The complexity is mastered by a subdivision of the full 
problem into a set of simpler separate tasks.
All main aspects of the events are simulated, such as
hard-process selection, initial- and final-state radiation, beam
remnants, fragmentation, decays, and so on. Therefore events should be
directly comparable with experimentally observable ones. The programs
can be used to extract physics from comparisons with existing
data, or to study physics at future experiments.}\\
  %Describe the method solution here.
   \\
{\em Reasons for the new version: improved and expanded physics models,
transition from Fortran to C++}\\
  %Only required for a New Version summary, otherwise leave out.
   \\
{\em Summary of revisions: new user interface, 
transverse-momentum-ordered showers, interleaving with multiple 
interactions, and much more}\\
  %Only required for a New Version summary, otherwise leave out.
   \\
{\em Restrictions: depends on the problem studied}\\
  %Describe any restrictions on the complexity of the problem here.
   \\
{\em Unusual features: none}\\
  %Describe any unusual features of the program/problem here.
   \\
%{\em Additional comments:}\\
  %Provide any additional comments here.
%   \\
{\em Running time: 10--1000 events per second, depending on
process studied}\\
  %Give an indication of the typical running time here.
%   \\
%{\em References:}
%\begin{refnummer}
%\item Reference 1       % This is the reference list of the Program Summary
%\item Reference 2       % Type references in text as [1], [2], etc.
%\item Reference 3       % This list is different from the bibliography, which
%                        % you can use in the Long Write-Up.
%\end{refnummer}

\end{small}
\clearpage

% In program descriptions the main text of the paper is listed under
% the heading LONG WRITE-UP.

\hspace{1pc}
{\bf LONG WRITE-UP}

\section{Introduction}

The development of \textsc{Jetset} \cite{jetset}, containing several 
of the components that later were merged with \textsc{Pythia}
\cite{pythiaearly}, was begun in 1978. Thus the current 
\textsc{Pythia}~6 generator \cite{pythiasixone, pythiasixfour} 
is the product of almost thirty years of development, 
and some of the code has not been touched in a very long time. New 
options have been added, but old ones seldom removed. The basic 
structure has been expanded in different directions, well beyond 
what it was once intended for, making it rather cumbersome by now.

{}From the onset, all code has been written in Fortran~77. For the
LHC era, the experimental community has made the decision to 
move heavy computing completely to C++. Fortran support 
may be poor to non-existing, and young experimenters will not
be conversant in Fortran any longer. Therefore it is logical
also to migrate \textsc{Pythia} to C++, and in the process clean
up and modernise various aspects. 

A first attempt in this direction was the \textsc{Pythia}~7 project
\cite{pythiaseven}. However, priority came to be given to the
development of a generic administrative structure, renamed
\textsc{ThePEG} \cite{thepeg} and adopted by the \textsc{Herwig++} 
\cite{herwigpp} group, while the physics parts of \textsc{Pythia}~7
remained underdeveloped.

\textsc{Pythia}~8 is a clean new start, to provide a successor to
\textsc{Pythia}~6. It is a completely standalone generator, thus not 
relying on \textsc{ThePEG} or any other external library. Some 
optional hooks for links to other programs are provided, however. 

The version presented here is the first operational one in the 
\textsc{Pythia}~8 series. As such it is not yet tested and tuned 
enough to have reached the same level of maturity as \textsc{Pythia}~6,
so we expect the two to coexist for a while. It is only by an
increasing use of the new version that it will mature, however, 
so we encourage a critical try-out, and look forward to feedback. 

The intention is to release a version in time for comparisons
with first LHC data. Thus some areas, like $\gamma\mathrm{p}$ and
$\gamma\gamma$ physics, are not yet addressed. Further, some  
intended processes remain to be implemented. Actually, with the 
rise of automatic matrix-element code generation and phase-space 
sampling, input of process-level events via the Les Houches Accord 
(LHA) \cite{lha} and with Les Houches Event Files (LHEF) \cite{lhef} 
reduces the need to have an extensive process library inside 
\textsc{Pythia} itself. Thus emphasis is more on providing a good 
description of subsequent steps of the story, involving elements 
such as initial- and final-state parton showers, multiple 
parton--parton interactions, string fragmentation, and decays. 

The current article provides an introduction to \textsc{Pythia}~8. 
The programming aspects are covered in more detail in a set 
of interlinked HTML (or alternatively PHP) pages that comes in the
same package as the program files, see below. 
Much of the physics aspects are unchanged 
relative to the \textsc{Pythia}~6.4 manual \cite{pythiasixfour}, and 
so we refer to it and to other physics articles for that. Instead 
what we here give is an overview for potential users who already 
have some experience with event generators and want to understand 
how to get going with \textsc{Pythia}~8.     

Section \ref{sec:physics} contains an ultra-brief summary of the
physics of \textsc{Pythia}~8, with particular emphasis on aspects that
are different relative to \textsc{Pythia}~6. The program
structure (including flow, files, documentation, and a few important
warnings) is described in section \ref{sec:structure}; summaries of
the main user methods, including the event record and particle
classes, in section \ref{sec:main}. Section
\ref{sec:databases} is concerned with the databases of flags, modes,
parameters, processes, and particle data which exist in \textsc{Pythia}~8. 
Those who wish to link to external programs, e.g.\ to gain access
to external parton distributions, standard input/output formats, and
much more, will find the relevant information in section
\ref{sec:external}. A brief how-to on getting going is then included
in section \ref{sec:how-to}. Section \ref{sec:outlook} rounds off with
an outlook.

\section{Physics Summary \label{sec:physics}}

This article is not intended to provide a complete description of
the physics content. For this we primarily refer to the 
\textsc{Pythia}~6 manual \cite{pythiasixfour} and associated 
literature. We would like to draw attention to some key points of
difference, however. Further details are available on the HTML/PHP 
pages in the program distribution. Some new physics aspects will 
eventually be covered in separate articles.

The physics components are controlled by many parameters. These have 
been assigned sensible default values, based on previous experience 
with \textsc{Pythia}~6 and some first studies with the new code. We
look forward to more extensive tunes by the experimental community,
however. 

\subsection{Hard processes}

Currently the program only works with $\mathrm{p}\mathrm{p}$, 
$\overline{\mathrm{p}}\mathrm{p}$, $\mathrm{e}^+\mathrm{e}^-$ 
and $\mu^+\mu^-$
incoming beams. In particular, there is no provision for 
$\mathrm{e}\mathrm{p}$ collisions or for incoming photon beams, 
neither on their own nor as flux around an electron. 

The list of processes currently implemented is summarised further 
down; it corresponds to most of the ones in \textsc{Pythia}~6,
with the exception of the Supersymmetry and Technicolor sectors, 
which are yet to come. The cross-section expressions should be 
identical, but default scale choices have been changed, so that 
cross sections may be somewhat different for that reason.  

The default parton distribution remains CTEQ 5L, but ones found in the
\textsc{LhaPdf} library \cite{lhapdf} can easily be linked.  It is now
possible to use separate PDF sets for the hard interaction, on one
hand, and for the subsequent showers and multiple interactions, on the
other.

\subsection{Parton showers}

The initial- and final-state algorithms are based on the 
new $p_{\perp}$-ordered evolution introduced in \textsc{Pythia}~6.3
\cite{ptshowers}, while the older mass-ordered ones have not been 
implemented. It is now additionally possible to have a branching 
of a photon to a fermion pair as part of the final-state evolution.

Already in \textsc{Pythia}~6.3 the initial-state evolution and
the multiple interactions were interleaved into one common 
decreasing $p_{\perp}$ sequence. Now also the final-state evolution 
is interleaved with the other two. In this context, some of that 
final-state radiation gets to be associated with dipoles stretched 
between a final-state parton and the ``hole'' left by an 
initial-state one, which therefore now can take a recoil.
The initial-state-radiation algorithm remains unchanged in this
respect, with recoils always taken by the hard scattering subsystem 
as a whole. 

\subsection{Multiple interactions and beam remnants}

The multiple-interactions machinery as such contains the full
functionality introduced in \textsc{Pythia}~6.3 \cite{newremnants}. 
Rescaled parton densities are defined after the first interaction, 
that take into account the nature of the previous partons extracted. 
Currently there is only one scenario for colour-reconnection in the 
final state, in which there is a certain probability for the partons of
two subscatterings to have their colours interarranged in a way that
reduces the total string length. (This is intermediate in character 
between the original strategy \cite{zijl} and the more recent ones
\cite{wicke}.) The description of beam remnants is based on the 
new framework. 

In addition to the standard QCD $2 \to 2$ processes, the possibility
of multiple interactions producing prompt photons, charmonia and 
bottomonia, low-mass Drell-Yan pairs, and $t$-channel 
$\gamma^*/\mathrm{Z}^0/\mathrm{W}^{\pm}$ exchange is now also
included.

For dedicated studies of two low-rate processes in coincidence, two
hard interactions can now be set in the same event. There are no
Sudakov factors included for these two interactions, similarly to
normal events with one hard interaction.

\subsection{Hadronisation}

Hadronisation is based solely on the Lund string fragmentation
framework \cite{lundreview}; older alternative descriptions have 
been left out.

Particle data have been updated in agreement with the 2006 PDG
tables \cite{pdg}. This also includes a changed content of the scalar
meson multiplet. Some updated charm and bottom decay tables have been 
obtained from the DELPHI and LHCb collaborations.

The BE$_{32}$ model for Bose--Einstein effects \cite{boseeinstein} 
has been implemented, but is not on by default.  

\subsection{Other program components}

Standardised procedures have been introduced to link the program
to various external programs for specific tasks, see section 
\ref{sec:external}.

Finally, some of the old jet finders and other analysis routines are
made available. Also included is a utility to generate, display and 
save simple one-dimensional histograms.

\section{Program Structure \label{sec:structure}}

\subsection{Program flow}

The physics topics that have to come together in a complete 
event generator can crudely be subdivided into three stages:
\begin{enumerate}
\item The generation of a ``process'' that decides the nature of the
event. Often it would be a ``hard process'', such as $\mathrm{g}
\mathrm{g} \to \mathrm{h}^0 \to \mathrm{Z}^0 \mathrm{Z}^0 \to \mu^+
\mu^- \mathrm{q} \overline{\mathrm{q}}$, that is calculated in
perturbation theory, but a priori we impose no requirement that a hard
scale must be involved. Only a very small set of
partons/particles is defined at this level, so only the main aspects
of the event structure are covered.
\item The generation of all subsequent activity on the partonic level, 
involving initial- and final-state radiation, multiple parton--parton 
interactions and the structure of beam remnants. Much of the phenomena
are under an (approximate) perturbative control, but nonperturbative
physics aspects are also important. At the end of this step, a realistic
partonic structure has been obtained, e.g. with broadened jets and
an underlying-event activity.  
\item The hadronisation of this parton configuration, by string
fragmentation, followed by the decays of unstable particles. This
part is almost completely nonperturbative, and so requires extensive
modelling and tuning or, especially for decays, parametrisations of 
existing data. It is only at the end of this step that realistic events 
are available, as they could be observed by a detector.
\end{enumerate}
This division of tasks is not watertight --- parton distributions span
and connect the two first steps, to give one example ---  but it still 
helps to focus the discussion. 

\begin{figure}[t]
\begin{picture}(430,370)(-215,10)
\GBox(-215,350)(215,380){0.9}
\Text(0,365)[]{The User ($\approx$ Main Program)}
\GBox(-215,300)(215,330){0.9}
\Text(0,315)[]{\texttt{Pythia}}
\GBox(-215,250)(-170,280){0.9}
\Text(-192.5,265)[]{\texttt{Info}}
\GBox(-130,250)(-20,280){0.9}
\Text(-75,265)[]{\texttt{Event~~process}}
\GBox(20,250)(215,280){0.9}
\Text(105,265)[]{\texttt{Event~~event}}
\GBox(-215,110)(-85,230){0.9}\Line(-215,200)(-85,200)
\Text(-150,215)[]{\texttt{ProcessLevel}}
\Text(-150,185)[]{\texttt{ProcessContainer}}
\Text(-150,165)[]{\texttt{PhaseSpace}}
\Text(-150,145)[]{\texttt{LHAinit, LHAevnt}}
\Text(-150,125)[]{\texttt{ResonanceDecays}}
\GBox(-65,110)(65,230){0.9}\Line(-65,200)(65,200)
\Text(0,215)[]{\texttt{PartonLevel}}
\Text(0,185)[]{\texttt{TimeShower}}
\Text(0,165)[]{\texttt{SpaceShower}}
\Text(0,145)[]{\texttt{MultipleInteractions}}
\Text(0,125)[]{\texttt{BeamRemnants}}
\GBox(85,110)(215,230){0.9}\Line(85,200)(215,200)
\Text(150,215)[]{\texttt{HadronLevel}}
\Text(150,185)[]{\texttt{StringFragmentation}}
\Text(150,165)[]{\texttt{MiniStringFrag\ldots}}
\Text(150,145)[]{\texttt{ParticleDecays}}
\Text(150,125)[]{\texttt{BoseEinstein}}
\GBox(-130,60)(-20,90){0.9}
\Text(-75,75)[]{\texttt{BeamParticle}}
\GBox(20,60)(200,90){0.9}
\Text(110,75)[]{\texttt{SigmaProcess, SigmaTotal}}
\GBox(-215,10)(215,40){0.9}
\Text(0,25)[]{\texttt{Vec4, Rndm, Hist, Settings, %
ParticleDataTable, ResonanceWidths, \ldots}}
\SetWidth{2}
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\LongArrow(-150,300)(-150,232)
\LongArrow(0,300)(0,232)
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\DashLine(150,280)(150,250){4}
\LongArrow(150,250)(150,232)
\SetWidth{1}
\LongArrow(-192.5,230)(-192.5,248)
\Line(-192.5,280)(-192.5,300)
\DashLine(-192.5,300)(-192.5,330){4}
\LongArrow(-192.5,330)(-192.5,348)
\LongArrow(-107.5,230)(-107.5,248)
\LongArrow(-42.5,250)(-42.5,232)
\Line(-42.5,280)(-42.5,300)
\DashLine(-42.5,300)(-42.5,330){4}
\LongArrow(-42.5,330)(-42.5,348)
\LongArrow(42.5,230)(42.5,248)
\LongArrow(107.5,250)(107.5,232)
\LongArrow(182.5,230)(182.5,248)
\Line(182.5,280)(182.5,300)
\DashLine(182.5,300)(182.5,330){4}
\LongArrow(182.5,330)(182.5,348)
\LongArrow(-107.5,100)(-107.5,108)
\LongArrow(-107.5,100)(-107.5,92)
\LongArrow(-42.5,100)(-42.5,108)
\LongArrow(-42.5,100)(-42.5,92)
\LongArrow(42.5,100)(42.5,108)
\LongArrow(42.5,100)(42.5,92)
\LongArrow(-160,50)(-160,108)
\Line(-160,50)(0,50)
\LongArrow(0,50)(19,59)
\end{picture}
\caption{The relationship between the main classes in 
\textsc{Pythia}~8. The thick arrows show the flow of commands
to carry out different physics tasks, whereas the thinner show
the flow of information between the tasks. The bottom box 
contains common utilities that may be used anywhere. Obviously 
the picture is strongly simplified.
\label{fig:generatorstructure}}
\hrulefill  
\end{figure}

The structure of the \textsc{Pythia}~8 generator, as illustrated in 
Fig.~\ref{fig:generatorstructure}, is based on this subdivision.
The main class for all user interaction is called \texttt{Pythia}. 
It calls on the three classes \texttt{ProcessLevel},
\texttt{PartonLevel} and \texttt{HadronLevel}, corresponding 
to points 1, 2 and 3 above. Each of these, in their turn, call on 
further classes that perform the separate kinds of physics tasks.

Information is flowing between the different program elements in
various ways, the most important being the event record, represented
by the \texttt{Event} class. Actually, there are two objects of this
class, one called \texttt{process}, that only covers the few partons
of the ``hard'' process of point 1 above (i.e., containing information
corresponding to what might be termed the ``matrix element'' level),
and another called \texttt{event}, that covers the full story from the
incoming beams to the final hadrons. A small \texttt{Info} class keeps
track of useful one-of-a-kind information, such as kinematical
variables of the hard process.

There are also two incoming \texttt{BeamParticle}s, that keep track
of the partonic content left in the beams after a number of 
interactions and initial-state radiations, and rescales parton
distributions accordingly. 

The process library, as well as parametrisations of total, elastic 
and diffractive cross sections, are used both by the hard-process
selection machinery and the multiple-interactions one. 

The \texttt{Settings} database keeps track of all integer, double,
boolean and string variables that can be changed by the user to steer
the performance of \textsc{Pythia}, except that 
\texttt{ParticleDataTable} is its own separate database.

Finally, a number of utilities can be used just about anywhere,
for Lorentz four-vectors, random numbers, jet finding and simple 
histograms, and for a number of other ``minor'' tasks.

Orthogonally to the subdivision above, there is another, more 
technical classification, whereby the user interaction with the
generator occurs in three phases:
\begin{itemize}
\item Initialisation, where the tasks to be performed are specified.
\item Generation of individual events (the ``event loop'').
\item Finishing, where final statistics is made available.
\end{itemize}
Again the subdivision (and orthogonality) is not strict, with many 
utilities and tasks stretching across the borders, and with no 
finishing step required for many aspects. Nevertheless, as a rule, 
these three phases are represented by different methods  
inside the class of a specific physics task.

\subsection{Program files and documentation}

The code is subdivided into a set of files, mainly by physics 
task. Each file typically contains one main class, but often
with a few related helper classes that are not used elsewhere in 
the program. Normally the files come in pairs.
\begin{enumerate}
\item A header file, \texttt{.h} in the \texttt{include}
subdirectory, where the public interface of the class is declared, 
and inline methods are defined.
\item A source code file, \texttt{.cc} in the \texttt{src} 
subdirectory, where the lengthier methods are implemented.
\end{enumerate}
During compilation, related dependency files, \texttt{.d}, and 
compiled code, \texttt{.o} are created in the \texttt{tmp}
subdirectory.

In part the \texttt{.xml} documentation files in the \texttt{xmldoc}
subdirectory have matching names, but the match is broken by the
desire to group topics more by user interaction than internal 
operation. These files contain information on all settings and
particle data, but not in a convenient-to-read format. Instead they
are translated into a corresponding set of \texttt{.html} files 
in the \texttt{htmldoc} subdirectory and a set of \texttt{.php} 
files in \texttt{phpdoc}. The former set can easily be read if
you open the \texttt{htmldoc/Welcome.html} file in your favourite
web browser, but offers no interactivity. The latter set must be 
installed under a webserver (like a homepage) to function properly,
and then provides a simple Graphical User Interface if you open the 
\texttt{phpdoc/Welcome.php} file in a web browser.

For output to the \textsc{HepMC} event record format \cite{hepmc}, 
an interface is provided in the \texttt{hepmcinterface} subdirectory.
There are also interfaces to allow parton distribution functions
to be used from the \textsc{LhaPdf} library \cite{lhapdf} and hard 
processes from external programs.

The installation procedure is described in a \texttt{README} file; it
involves running a \texttt{configure} script, whereafter an ordinary
\texttt{Makefile} is used.  The former should be invoked with
command-line arguments (or be edited) to provide the path to the
\textsc{HepMC} library if this is going to be used. Compiled
libraries are put in the \texttt{lib} subdirectory. Default is to
build archive libraries, but optionally also shared-object ones can be
built.  The standard setup is intended for Linux systems, but a
simplified alternative is provided for Windows users. 

Finally, some examples of main programs, along with input files, or
``cards'', for them, are found in the \texttt{examples}
subdirectory. This directory contains its own 
\texttt{configure} script and \texttt{Makefile} which will allow you 
to build executables, see the \texttt{examples/README} file. 
As above, command-line arguments or brute-force editing allows you
to set the \textsc{LhaPdf} and \textsc{Pythia}~6.4 paths, if so required.
The executables are placed in the \texttt{bin} directory, but with 
links from \texttt{examples}.  

\subsection{Important warnings}

Playing with the files in the \texttt{examples} subdirectory is
encouraged, to familiarise oneself with the program. Modifying the
\texttt{configure} files may be required during installation. For 
the rest, files should not be modified, at least not without 
careful consideration of consequences.
 
In particular, the \texttt{.xml} files are set read-only, and should 
not be tampered with. Interspersed in them, there are lines beginning 
with \texttt{} containing 
a list of all the mothers, daughters or sisters of a particle. This 
list may be empty or arbitrarily large, and is given in ascending order.

One data member in an Event object is used to keep track of the  
largest \texttt{col()} or \texttt{acol()} tag set so far, so that new 
ones do not clash. 

The event record also contains two further sets of vectors. These are
intended for the expert user only, so only a few words on each.
The first is a vector of junctions, i.e.\ vertices where three string
pieces meet. This list is often empty or else contains only a very few 
per event. The second is a storage area for parton indices, classified 
by subsystem. Such information is needed to interleave multiple 
interactions, initial-state showers, final-state showers and beam 
remnants. It can also be used in the hadronisation. 

\subsection{Other event information}

A set of one-of-a-kind pieces of event information is stored in the
\texttt{info} object (an instance of the class
\texttt{Info}) in the \texttt{Pythia} class. This is mainly
intended for processes generated internally, but some of the information
is also available for external processes.

You can use \texttt{pythia.info.method()} to extract e.g.\ the 
following information:
\begin{itemize}
\item \texttt{list()} : list some information on the current event. 
\item \texttt{eCM(), s()} : the cm energy and its square.
\item \texttt{name(), code()} : the name and code of the subprocess.
\item \texttt{id1(), id2()} : the identities of the two partons 
coming in to the hard subprocess.
\item \texttt{x1(), x2()} : $x$ fractions of the two partons coming 
in to the hard subprocess.
\item \texttt{pdf1(), pdf2(), QFac(), Q2Fac()} : parton densities 
$x \, f_i(x,Q^2 )$ evaluated for the two incoming partons, and the
associated factorisation scale $Q$ and its square.
\item \texttt{mHat(), sHat(), tHat(), uHat()} : the invariant mass of 
the hard subprocess and the Mandelstam variables for $2 \to 2$ 
processes.
\item \texttt{pTHat(), thetaHat()} : transverse momentum and polar
scattering angle of the hard subprocess for $2 \to 2$ processes.
\item \texttt{alphaS(), alphaEM(), QRen(), Q2Ren()} : 
$\alpha_{\mathrm{s}}$ and $\alpha_{\mathrm{em}}$ values for the 
hard process, and the associated renormalisation scale $Q$ and its square.
\item \texttt{nTried(), nAccepted(), sigmaGen(), sigmaErr()} :
the number of trial and accepted events, and the resulting estimated
cross section and estimated statistical error, in units of mb, summed 
over the included processes. 
\end{itemize}

In other classes there are also methods that can be called to do a 
sphericity or thrust analysis or search for jets with a clustering 
or simple cone jet finder. These take the event record as input.

\section{Databases \label{sec:databases}}

Inevitably one wants to be able to modify the default behaviour of a 
generator. Currently there are two \textsc{Pythia}~8 databases with 
modifiable values. One deals with general settings, the other 
specifically with particle data. 

The key method to set a new value is\\
\cindent \texttt{pythia.readString(string);}\\
The typical form of a string is\\ 
\cindent \texttt{"variable = value"}\\
where the equal sign is optional and the variable begins with a letter 
for settings and a digit for particle data. A string not beginning with 
either is considered as a comment and ignored. Therefore inserting an 
initial !, \#, \$, \%, or another such character, is a good way to 
comment out a command. For non-commented strings, the match of the name 
to the database is case-insensitive. Strings that do begin with a letter 
or digit and still are not recognised cause a warning to be issued, unless 
a second argument \texttt{false} is used in the call. Any further text 
after the value is ignored, so the rest of the string can be used for 
any comments. For variables with an allowed range, values below the minimum 
or above the maximum are set at the respective border. For \texttt{bool} 
values, the following notation may be used interchangeably: 
\texttt{true} = \texttt{on} = \texttt{yes} = \texttt{ok} = 1. Everything 
else gives \texttt{false} (including but not limited to \texttt{false}, 
\texttt{off}, \texttt{no} and \texttt{0}). 

The \texttt{readString(...)} method is convenient for changing one or two 
settings, but becomes cumbersome for more extensive modifications. In 
addition, a recompilation and relinking of the main program is 
necessary for any change of values. Alternatively, the changes can 
therefore be collected in a file, for historical reasons 
often called a ``card file'', where each line is a 
character string defined in the same manner as above (without
quotation marks). 
The whole file can then be read and processed with a command\\
\cindent \texttt{pythia.readFile(fileName);}\\
As above, comments can be freely interspersed. 

\subsection{Settings}

We distinguish four kinds of user-modifiable variables, by the way
they have to be stored:
\begin{enumerate}
\item A \texttt{Flag} is an on/off switch, and is stored as a 
\texttt{bool}.
\item A \texttt{Mode} corresponds to an enumeration of 
separate options, and is stored as an \texttt{int}.
\item A \texttt{Parm} --- short for parameter --- takes a continuum 
of values, and is stored as a \texttt{double}.
\item A \texttt{Word} is a text string (with no embedded blanks)
and is stored as as a \texttt{string}. 
\end{enumerate}
Collectively the four above kinds of variables are called
settings. Not surprisingly, the class that stores them 
is called \texttt{Settings}. 

Each variable stored in \texttt{Settings} is associated 
with a few pieces of information. These are:
\begin{itemize}
\item 
The variable name, of the form \texttt{class:name} (or
\texttt{file:name}, or \texttt{task:name}, usually these agree), e.g.
\texttt{TimeShower:pTmin}.
\item  
The default value, set in the original declaration, and intended
to represent a reasonable choice. This value 
is not user modifiable. 
\item 
The current value. During construction of the \texttt{Settings}
object, this value is set equal to the default value. It can
subsequently be modified, e.g.\ by the
\texttt{pythia.readString()} or \texttt{pythia.readFile()} methods
discussed above. During the \texttt{pythia.init()} initialisation 
this value will be stored as a local copy in the class(es) where it 
is used, and thereby also control the subsequent generation. 
\item 
An allowed range of values, represented by meaningful minimum and 
maximum values. This has no sense for a flag or a word, is usually 
rather well-defined for a mode, but less so for a parameter. Either 
of the minimum and maximum may be left free, giving an open-ended 
range. Often the allowed range exaggerates the uncertainty in our 
current knowledge, so as not to restrict too much what the user can
do. All the same, this information should not be modified by the
user. 
\end{itemize}

Technically, the \texttt{Settings} class is implemented with the help 
of four separate maps, one for each kind of variable, with the name
used as key. The default values are taken from the \texttt{.xml}
files in the \texttt{xmldoc} subdirectory. The \texttt{Settings} class 
is purely static, i.e.\ exists only as one global copy, that you can 
interact with directly by \texttt{Settings::command(argument)}. 
However, a \texttt{settings} object is a public member of the 
\texttt{Pythia} class, so an alternative notation would be 
\texttt{pythia.settings.command(argument)}. As already mentioned, 
for input the \texttt{pythia.readString(...)} method is to be preferred, 
since it also can handle particle data. A typical example would be\\
\cindent\texttt{pythia.readString("TimeShower:pTmin = 1.0");}

You may obtain a listing of all variables in the database by calling\\
\cindent \texttt{pythia.settings.listAll();}\\
The listing is strictly alphabetical, which at least means that names
in the same area are kept together, but otherwise may not be so 
well-structured: important and unimportant ones will appear mixed.
A useful alternative is\\
\cindent \texttt{pythia.settings.listChanged();}\\
which will only print out a list of 
those variables that differ from their defaults.

\subsection{Processes}

All internal processes available in \textsc{Pythia}~8 
can be switched on and off via the ordinary settings machinery 
just discussed, using flags of the generic type
\texttt{ProcessGroup:ProcessName}. A complete list of processes
currently implemented is given in Table~\ref{processes}.  By
default all processes are off. A whole group can be turned on by a
\texttt{ProcessGroup:all = on} command, then overriding the individual
flags.

\begin{table}
\caption{Currently implemented processes, complete with respect to 
groups, but with some individual processes missing for lack of space
(represented by ``...'').
In the names, a ``2'' separates initial and final state, an ``(s:X)'', 
``(t:X)'' or ``(l:X)'' occasionally appends info on an $s$- or 
$t$-channel- or loop-exchanged particle $X$. 
 \protect\label{processes}}
\vspace{2mm}
\texttt{
\begin{tabular}{|l|l|@{\protect\rule[-1mm]{0mm}{6mm}}}
\hline
ProcessGroup & ProcessName\\
\hline
SoftQCD & minBias,elastic, singleDiffractive,\\ 
        & doubleDiffractive\\
\hline
HardQCD & gg2gg, gg2qqbar, qg2qg, qq2qq, qqbar2gg,\\ 
        & qqbar2qqbarNew, gg2ccbar, qqbar2ccbar,\\ 
        & gg2bbbar, qqbar2bbbar\\ 
\hline
PromptPhoton & qg2qgamma, qqbar2ggamma, gg2ggamma,\\
             & ffbar2gammagamma, gg2gammagamma\\
\hline
WeakBosonExchange & ff2ff(t:gmZ), ff2ff(t:W)\\
\hline
WeakSingleBoson & ffbar2gmZ, ffbar2W, ffbar2ffbar(s:gm)\\
\hline
WeakDoubleBoson & ffbar2gmZgmZ, ffbar2ZW, ffbar2WW\\
\hline
WeakBosonAndParton & qqbar2gmZg, qg2gmZq, ffbar2gmZgm, fgm2gmZf\\
                   & qqbar2Wg, qg2Wq, ffbar2Wgm, fgm2Wf\\
\hline
Charmonium & gg2QQbar[3S1(1)]g, qg2QQbar[3PJ(8)]q, \ldots\\
\hline
Bottomonium & gg2QQbar[3S1(1)]g, gg2QQbar[3P2(1)]g, \ldots\\
\hline
Top & gg2ttbar, qqbar2ttbar, qq2tq(t:W), \\
    & ffbar2ttbar(s:gmZ), ffbar2tqbar(s:W) \\
\hline
\multicolumn{2}{|l|@{\protect\rule[-1mm]{0mm}{6mm}}}%
{FourthBottom, FourthTop, FourthPair \textrm{(fourth generation)}} \\
\hline
HiggsSM & ffbar2H, gg2H, ffbar2HZ, ff2Hff(t:WW), \ldots\\
\hline
HiggsBSM & \textrm{h, H and A as above, charged Higgs, pairs}\\
\hline
SUSY & qqbar2chi0chi0 \textrm{(not yet completed)}\\
\hline 
NewGaugeBoson & ffbar2gmZZprime, ffbar2Wprime, ffbar2R0\\
\hline
LeftRightSymmmetry & ffbar2ZR, ffbar2WR, ffbar2HLHL, \ldots\\
\hline
LeptoQuark & ql2LQ, qg2LQl, gg2LQLQbar, qqbar2LQLQbar\\
\hline
 ExcitedFermion & dg2dStar, qq2uStarq, qqbar2muStarmu, \ldots\\
\hline
ExtraDimensionsG* & gg2G*, qqbar2G*, \ldots\\
\hline
\end{tabular}
}
\end{table}

Note that processes in the \texttt{SoftQCD} group are of a kind 
that cannot be input via the LHA, while essentially all other kinds
could. 

Each process is assigned an integer code. This code is not used in
the internal administration of events; it is only intended to allow
a simpler user separation of different processes. Also the process 
name is available, as a string.

For many processes it makes sense to apply phase space cuts. The ones
currently available (in the \texttt{Settings} database) in particular
include
\begin{itemize}
\item \texttt{PhaseSpace:mHatMin, PhaseSpace:mHatMax} : 
the range of invariant masses of the scattering process.
\item \texttt{PhaseSpace:pTHatMin, PhaseSpace:pTHatMax} : 
the range of  transverse momenta in the rest frame of the 
process for $2 \to 2$ and $2 \to 3$ processes (for each of the 
products).
\end{itemize}
In addition, for any resonance with a Breit-Wigner mass distribution,
the allowed mass range of that particle species is taken into 
account, both for $2 \to 1$, $2 \to 2$ and $2 \to 3$ processes, 
thereby providing a further cut possibility. Note that the 
\texttt{SoftQCD} processes do not use any cuts but generate their 
respective cross sections in full.   

\subsection{Particle data}

The following particle properties are stored in the 
\texttt{ParticleDataTable} class for a given PDG particle identity code 
\texttt{id}, here presented by the method used to access this property:
\begin{itemize} 
\item \texttt{name(id)} : 
particle and antiparticle names are stored separately,
the sign of \texttt{id} determines which of the two is returned, with
``void'' used to indicate the absence of an antiparticle. 
\item \texttt{hasAnti(id)} : 
\texttt{bool} whether a distinct antiparticle exists or not.
\item \texttt{spinType(id)} : $2 s + 1$ for particles with defined spin,
else 0.
\item \texttt{chargeType(id)} : 
three times the charge (to make it an integer); can also be read as a 
\texttt{double charge(id) = chargeType(id)/3}.
\item \texttt{colType(id)} : 
the colour type, with 0 uncoloured, 1 triplet, $-1$ antitriplet 
and 2 octet.
\item \texttt{m0(id)} : 
the nominal mass $m_0$ (in GeV).
\item \texttt{mWidth(id)} :
the width $\Gamma$ of the Breit-Wigner mass distribution (in GeV).
\item \texttt{mMin(id), mMax(id)} : 
the allowed mass range generated by the Breit-Wigner,
$m_{\mathrm{min}} < m < m_{\mathrm{max}}$ (in GeV).
\item \texttt{tau0(id)} : 
the nominal proper lifetime $\tau_0$ (in mm/$c$). 
\item \texttt{constituentMass(id)} : 
the constituent mass for a quark, hardcoded as 
$m_{\mathrm{u}} = m_{\mathrm{d}} = 0.325$, $m_{\mathrm{s}} = 0.50$, 
$m_{\mathrm{c}} = 1.60$ and $m_{\mathrm{b}} = 5.0$ GeV, for a diquark 
the sum of quark constituent masses, and for everything else the same 
as the ordinary mass.
\item \texttt{mRun(id, massScale)} : the running mass for quarks, 
else the same as the nominal mass.
\item \texttt{mayDecay(id)} : 
a flag telling whether a particle species may decay or not, offering 
the main user switch (whether a given particle of this kind then 
actually will decay also depends on other flags in the 
\texttt{ParticleDecays} class).
\end{itemize}
Similar methods can also be used to set most of these properties.

Each particle kind in the \texttt{ParticleDataTable} also has a 
a vector of \texttt{DecayChannel}s associated with it. The following 
properties are stored for each decay channel:
\begin{itemize} 
\item \texttt{onMode()} : 
whether a channel is on (1) or off (0), or on only for particles
(2) or antiparticles (3).
\item \texttt{bRatio()} : 
the branching ratio.
\item \texttt{meMode()} : 
the mode of processing this channel, possibly with 
matrix-element information; 0 gives isotropic phase space.
\item \texttt{multiplicity()} : 
the number of decay products in a channel, at most 8.
\item \texttt{product(i)} : 
a list of the decay products, 8 products $0 \leq $\texttt{i}$ < 8$,
with trailing unused ones set to 0.
\end{itemize}

The original particle data and decay table is read in from the 
\texttt{ParticleData.xml} file.

The \texttt{ParticleDataTable} class is purely static, i.e. exists as
one global copy, that you can interact directly with by
\texttt{ParticleDataTable::command(argument)}. However, a
\texttt{particleData} object of the \texttt{ParticleDataTable} class
is a public member of the \texttt{Pythia} class, which offers an
alternatively notation. As already mentioned, for input the
\texttt{pythia.readString(string)} method is to be preferred, since it
also can handle settings.

It is only the form of the \texttt{string} that needs to be specified
slightly differently than for settings, as\\ 
\cindent \texttt{id:property = value}.\\ 
The \texttt{id} part is the standard PDG particle code, i.e.\ a number, 
and \texttt{property} is one of the ones already described above, 
with a few minor differences: \texttt{name}, \texttt{antiName}, 
\texttt{spinType}, \texttt{chargeType}, \texttt{colType}, \texttt{m0}, 
\texttt{mWidth}, \texttt{mMin}, \texttt{mMax}, \texttt{tau0}, 
\texttt{mayDecay}, \texttt{isResonance}, \texttt{isVisible}, 
\texttt{doExternalDecay}, and \texttt{doForceWidth}. As before, several 
commands can be stored as separate lines in a file, say\\ 
\cindent \texttt{111:name = piZero  ! normal notation pi0}\\ 
\cindent \texttt{3122:mayDecay = false ! Lambda0 stable}\\  
\cindent \texttt{431:tau0 = 0.15 ! D\_s proper lifetime}\\
and then be read with \texttt{pythia.readFile(fileName)}.

For major changes of the properties of a particle, the above 
one-at-a-time changes can become rather cumbersome. Therefore 
a few extended input formats are available, where a whole
set of properties can be given after the equal sign, separated
by blanks and/or by commas. One line like\\ 
\cindent \texttt{id:all = name antiName spinType chargeType %
colType m0 mWidth mMin mMax tau0}\\
replaces all the current information on the particle itself, but 
keeps its decay channels, if any, while using \texttt{new} instead 
of \texttt{all} also removes any previous decay channels. (The 
flags \texttt{mayDecay}, \texttt{isResonance}, \texttt{isVisible}, 
\texttt{doExternalDecay}, and \texttt{doForceWidth} are in either 
case reset to their defaults and would have to be changed separately.) 

In order to change the decay data, the decay channel number needs
to be given right after the particle number, i.e. the command form
becomes\\
\cindent  \texttt{id:channel:property = value}.\\
Recognised properties are \texttt{onMode}, \texttt{bRatio}, 
\texttt{meMode} and \texttt{products}, where the latter expects a 
list of all the decay products, separated by blanks, up until the 
end of the line, or until a non-number is encountered.
The property \texttt{all} will replace all the information on the 
channel, i.e.\\
\cindent \texttt{id:channel:all = onMode bRatio meMode products }\\
To add a new channel at the end, use\\
\cindent \texttt{id:addChannel = onMode bRatio meMode products } \\
To remove all existing channels and force decays into one new channel,
use\\
\cindent \texttt{id:oneChannel = onMode bRatio meMode products } \\
A first \texttt{oneChannel} command could be followed by several 
subsequent \texttt{addChannel} ones, to build up a completely new decay 
table for an existing particle.\\ 
It is currently not possible to remove a channel selectively, but setting 
its branching ratio vanishing is as effective.

Often one may want to allow only a specific subset of decay channels
for a particle. This can be achieved e.g.\ by a repeated use of 
\texttt{id:channel:onMode} commands, but there also is a set of commands 
that initiates a loop over all decay channels and allows a matching to be 
carried out. The \texttt{id:onMode} command can switch \texttt{on} or 
\texttt{off} all channels. The \texttt{id:onIfAny} and \texttt{id:offIfAny} 
will switch on/off all channels that contain any of the enumerated 
particles. For instance\\
\cindent \texttt{23:onMode = off}\\
\cindent \texttt{23:onIfAny = 1 2 3 4 5}\\
first switches off all $\mathrm{Z}^0$ decay modes and then switches
 back on any that contains one of the five lighter quarks. Other 
methods are \texttt{id:onIfAll} and \texttt{id:offIfAll}, and 
\texttt{id:onIfMatch} and \texttt{id:offIfMatch},
where all the enumerated products must be present for a decay channel 
to be switched on/off. The difference is that the former two allow further
non-matched particles in a decay channel while the latter two do not. 
There are also further methods to switch on channels selectively either
for the particle or for the antiparticle.

When a particle is to be decayed, the branching ratios of the allowed 
channels are always rescaled to unit sum. There are also methods for 
by-hand rescaling of branching ratios.

You may obtain a listing of all the particle data by calling\\
\cindent \texttt{pythia.particleData.listAll()}.\\ 
The listing is by increasing \texttt{id} number. To list only those 
particles that have been changed, instead use\\ 
\cindent \texttt{pythia.particleData.listChanged()}.\\ 
To list only one specific particle \texttt{id}, use \texttt{list(id)}. 
It is also possible to \texttt{list} a \texttt{vector} of 
\texttt{id}'s. 

\section{Links to external programs \label{sec:external}}

While \textsc{Pythia}~8 itself is self-contained and can be
run without reference to any external library, often one does
want to make use of other programs that are specialised on some aspect
of the generation process. The HTML/PHP documentation accompanying the
code contains full information on how the different links should be set
up. Here the purpose is mainly to point out the possibilities that
exist.

\subsection{The Les Houches interface}

The Les Houches Accord for user processes (LHA) \cite{lha} is the 
standard way to input parton-level information from a 
matrix-elements-based generator into \textsc{Pythia}. The conventions 
for which information should be stored has been defined in a Fortran 
context, as two commonblocks. Here a C++ equivalent is defined, 
as two separate classes.

The \texttt{LHAinit} and \texttt{LHAevnt} classes are base classes, 
containing reading and printout methods, plus a pure virtual 
method \texttt{set()} each. Derived classes have to provide these two 
virtual methods to do the actual work. Currently the only examples 
are for reading information at runtime from the respective 
Fortran commonblock or for reading it from a Les Houches Event File 
(LHEF) \cite{lhef}.

The \texttt{LHAinit} class stores information equivalent to the 
\texttt{/HEPRUP/} commonblock, as required to initialise the 
event-generation chain.
The \texttt{LHAevnt} class stores information equivalent to the 
\texttt{/HEPEUP/} commonblock, as required to hand in the next 
parton-level configuration for complete event generation. 

The \texttt{LHAinitFortran} and \texttt{LHAevntFortran} are two
derived classes, containing \texttt{set()} members that read the 
respective LHA Fortran commonblock for initialisation and event
information. This can be used for a runtime link to a Fortran 
library. As an example, an interface is provided to the 
\textsc{Pythia}~6.4 process library.

The \texttt{LHAinitLHEF} and \texttt{LHAevntLHEF} are two
other derived classes, that can read a file with initialisation and 
event information, assuming that the file has been written in the
LHEF format. You do not need to declare these classes yourself,
since a shortcut is provided by the \texttt{pythia.init(fileName)}
command. 

If you create \texttt{LHAinit} and \texttt{LHAevnt} objects yourself, 
pointers to those should be handed in with the \texttt{init(...)} call, 
then of the form \texttt{pythia.init(LHAinit*, LHAevnt*)}. 

\subsection{Semi-internal processes and resonances}

When you implement new processes via the Les Houches Accord you do all 
flavour, colour and phase-space selection externally, before your 
process-level events are input for further processing by \textsc{Pythia}. 
However, it is also possible to implement a new process in exactly the 
same way as the internal \textsc{Pythia} ones, thus making use of the 
internal phase-space selection machinery to sample an externally provided 
cross-section expression.

The matrix-element information has to be put in a new class that derives
from one of the existing classes, \texttt{Sigma1Process} for $2 \to 1$ 
processes, \texttt{Sigma2Process} for $2 \to 2$ ones, and 
\texttt{Sigma3Process} for $2 \to 3$ ones, which in their turn derive 
from the \texttt{SigmaProcess} base class. Note that \texttt{Pythia} is 
rather good at handling the phase space of $2 \to 1$ and $2 \to 2$ 
processes, is more primitive for $2 \to 3$ ones and does not at all address 
higher multiplicities. This limits the set of processes that you can 
implement in this framework. The produced particles may be resonances, 
however, so it is possible to end up with bigger "final" multiplicities 
through sequential decays, and to include further matrix-element weighting 
in those decays.

In your new class you have to implement a number of methods. Chief among 
them is one to return the matrix-element weight for an already specified 
kinematics configuration and another one to set up the final-state flavours 
and colour flow of the process. Further methods exist, some of more 
informative character, such as providing the name of the process. 
Should you actually go ahead, it is strongly recommended to shop around 
for a similar process that has already been implemented, and to use that 
existing code as a template. 

Once a class has been written, a pointer of type \texttt{SigmaProcess*} 
to a \texttt{new} instance of your class needs to be created in the main 
program, and handed in with the \texttt{pythia.setSigmaPtr(...)} method. 
{}From there on the process will be handled on equal footing with internally 
implemented processes.

If your new process introduces a new particle you have to add it and its
decay channels to the particle database, as already explained. This only
allows for a fixed width and fixed branching ratios, however, with only
some minor generalisations. To obtain a dynamical calculation, where the 
width and the branching ratios can vary as a function of the currently 
chosen mass, you must also create a new class for it that derives from the
\texttt{ResonanceWidths} class. In it you have to implement a method
that returns the partial width for each of the possible decay channels.
The structure is simpler than for the \texttt{SigmaProcess} case, but  
again it may be convenient to use a similar existing resonance as a
template. You then hand in a pointer to an instance of this new class 
with the \texttt{pythia.setResonancePtr(...)} method. 

\subsection{Parton distribution functions}

The \texttt{PDF} class is the base class for all parton distribution 
function parametrisations, from which specific \texttt{PDF} classes 
are derived. Currently the selection of sets that comes with the 
program is very limited; for protons only CTEQ 5L (default) and 
GRV 94L are available. However, a built-in interface to the
\textsc{LhaPdf} library \cite{lhapdf} allows a much broader selection, 
if only \textsc{LhaPdf} is linked together with \textsc{Pythia}.

Should this not be enough, it is possible to write your own class 
derived from the \texttt{PDF} base class, wherein you implement the
\texttt{xfUpdate(...)} member to do the actual updating of PDFs.
Once you have created two distinct \texttt{PDF} objects, \texttt{pdfA} 
and \texttt{pdfB}, you should supply pointers to these as arguments in 
a \texttt{pythia.setPDFPtr(pdfA*, pdfB*)} call.

A word of warning: to switch to a new PDF set implies that a complete
retuning of the generator may be required, since the underlying-event
activity from multiple interactions and parton showers is changed. There 
is an option that allows a replacement of the PDF for the hard process 
only, so that this is not required. Inconsistent but convenient.

\subsection{External decay packages}

While \texttt{Pythia} is set up to handle any particle decays,
decay products are often (but not always) distributed isotropically 
in phase space, i.e.\ polarisation effects and nontrivial matrix
elements usually are neglected in \textsc{Pythia}. Especially for the 
$\tau$ lepton and for some $\mathrm{B}$ mesons it is therefore common 
practice to rely on dedicated decay packages \cite{tauola, evtgen}.

To this end, \texttt{DecayHandler} is a base class for the external 
handling of decays. The user-written derived class is called if a 
pointer to it has been given with the 
\texttt{pythia.setDecayPtr(DecayHandler*, vector)} method. 
The second argument to this method should contain the \texttt{id} 
codes of all the particles that should be decayed by the external 
program. It is up to the author of the derived class to send different 
of these particles on to separate packages, if so desired.  

The \texttt{decay(...)} method in the user-written \texttt{DecayHandler}
class should do the decay, or return \texttt{false} if it fails. In the 
latter case \texttt{Pythia} will try to do the decay itself. Thus one 
may implement some decay channels externally and leave the rest for 
\texttt{Pythia}, assuming the \texttt{Pythia} decay tables are adjusted 
accordingly.  

\subsection{User hooks}

Sometimes it may be convenient to step in during the generation process: 
to modify the built-in cross sections, to veto undesirable events or 
simply to collect statistics at various stages of the evolution. There is 
a base class \texttt{UserHooks} that gives you this access at a few 
selected places. This class in itself does nothing; the idea is that you 
should write your own derived class for your task. A few very simple
 derived classes come with the program, mainly as illustration.

There are four distinct sets of routines. Ordered by increasing 
complexity, rather than by their appearance in the event-generation 
sequence, they are:
\begin{itemize}
\item Ones that gives you access to the event record in between the 
process-level and parton-level steps, or in between the parton-level 
and hadron-level ones. You can study the event record and decide whether 
to veto this event.
\item Ones that allow you to set a scale at which the combined 
multiple-interactions, initial-state and final-state parton-shower 
downwards evolution in $p_{\perp}$ is temporarily interrupted, so the 
event can be studied and either vetoed or allowed to continue the 
evolution.
\item Similar ones that instead gives you access after the first few
parton-shower branchings of the hardest subprocess.
\item Ones that gives you access to the properties of the trial 
hard process, so that you can modify the internal \textsc{Pythia} 
cross section by your own correction factors. 
\end{itemize}

\subsection{Random-number generators}

\texttt{RndmEngine} is a base class for the external handling of 
random-number generation. The user-written derived class is called 
if a pointer to it has been handed in with the 
\texttt{pythia.setRndmEnginePtr(RndmEngine*)} method. 
Since the default Marsaglia-Zaman algorithm is quite good, there is
absolutely no physics reason to replace it, but this may still be 
required for consistency with other program elements in big 
experimental frameworks.

\subsection{The \textsc{HepMC} event format}

The \textsc{HepMC} event format \cite{hepmc} is a standard format
for the storage of events in several major experiments. The translation
from the \textsc{Pythia}~8 \texttt{Event} format should be done
after \texttt{pythia.next()} has generated an event. Therefore there
is no need for a tight linkage, but only to call the\\ 
\texttt{HepMC::I\_Pythia8::fill\_next\_event( pythia.event, hepmcevt )}\\ 
conversion routine from the main program written by the user.
Version 1 of \textsc{HepMC} makes use of the \textsc{CLHep} library
\cite{clhep} for four-vectors, while version 2 is standalone; this 
requires some adjustments in the interface code based on which version 
is used.

\subsection{SUSY parameter input}

\textsc{Pythia}~8 does not contain a machinery for calculating 
masses and couplings of supersymmetric particles from some small set
of input parameters. Instead the SUSY Les Houches Accord (SLHA)
\cite{slha} is used to provide this information, as calculated by 
some external program. You need to supply the name of the file where 
the SLHA information is stored, in an appropriate setting, and then 
the rest is taken care of automatically. (Or at least will be, once
SUSY processes are implemented.)

\subsection{Parton showers}
 
It is possible to replace the existing timelike and/or spacelike showers
in the program by your own. This is truly for experts, since it requires
a rather strict adherence to a wide set of rules. These are described
in detail in the HTML/PHP documentation accompanying the code. 
The \textsc{Vincia} program \cite{vincia} offers a first example of
a plug-in of an external (timelike) shower. 

\section{Getting Going \label{sec:how-to}}

After you download the \texttt{pythia8100.tgz} (or later) package 
from the \textsc{Pythia} webpage,\\ 
\cindent \texttt{http://www.thep.lu.se/}$\sim$%
\texttt{torbjorn/Pythia.html}\\
you can unpack it with \texttt{tar xvfz pythia8100.tgz}, into a new 
subdirectory \texttt{pythia8100}. The rest of the installation procedure 
is described in the \texttt{README} file in that directory. 
It is assumed you are on a Linux system; so far there is hardly any 
multiplatform support.

After this, the main program is up to the user to write. A worksheet
(found on the webpage) takes you through as step-by-step procedure, 
and sample main programs are provided in the \texttt{examples} 
subdirectory. These programs are included to serve as inspiration when 
starting to write your own program, by illustrating the principles 
involved. 

The information available if you open 
\texttt{htmldoc/Welcome.html} in your web browser will help you
explore the program possibilities further. If you install the
\texttt{phpdoc} subdirectory under a web server you will also get
extra help to build a file of commands to the \texttt{Settings} and 
\texttt{ParticleDataTable} machineries, to steer the execution of
your main program.

Such "cards files" are separate from the main programs proper, so that 
minor changes can be made without any recompilation. It is then 
convenient to collect in the same place some run parameters, such as 
the number of events to generate, that could be used inside the 
main program. Therefore some such have been predefined, e.g.\
\texttt{Main:numberOfEvents}. Whether they actually are used is up to 
the author of a main program to decide.

\section{Outlook \label{sec:outlook}}

As already explained in the introduction, \textsc{Pythia}~8.1 is
not yet a complete replacement of \textsc{Pythia}~6.4, but it is 
getting there, and already contains some new features not found 
elsewhere. In many cases the quality of the physics should be
comparable between the two versions, but obviously the objective
is that soon \textsc{Pythia}~8 should offer the overall better 
alternative. This will occur by further improvements of the 
existing framework and by the gradual addition of new features. 
 
\ack
 
The support and kind hospitality of the SFT group at CERN is 
gratefully acknowledged by TS. Mikhail Kirsanov has developed 
the configure files, the makefiles and the interface to 
\textsc{HepMC}, and made several valuable suggestions. Ben Lloyd 
has written the PHP webpage framework. Bertrand Bellenot has provided 
a simple makefile for Win32/NMAKE. Marc Montull has helped write
the extended Higgs sector. SM and PS are supported by Fermi Research 
Alliance, LLC, under Contract No.~DE-AC02-07CH11359 with the United 
States Department of Energy. This work was supported in part by 
the European Union Marie Curie Research Training Network MCnet 
under contract MRTN-CT-2006-035606.

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\end{document}
pythia8-8.1.86.orig/xmldoc/ResonanceDecays.xml0000444000175000017500000004741712357055027017436 0ustar  sunsun 
 

    Resonance Decays
     
 
The ResonanceDecays class performs the sequential decays of 
all resonances formed in the hard process. Note the important distinction 
between "resonances" and other "particles" made in PYTHIA. 

       

    •  
The list of resonances contains gamma^*/Z^0, W^+-, top, 
the Higgs, and essentially all new particles of Beyond-the-Standard-Model 
physics: further Higgs bosons, sfermions, gauginos, techniparticles, and 
so on. The partial widths to different decay channels are perturbatively 
calculable, given the parameters of the respective model, and branching 
ratios may be allowed to vary across a (reasonably broad) resonance peak. 
Usually resonances are short-lived, and therefore it makes sense to consider 
their decays immediately after the primary hard process has been set up. 
Furthermore, in several cases the decay angular distributions are encoded 
as part of the specific process, e.g. the W decays differently in 
f fbar → W^+-, f fbar → W^+ W^- and 
h^0 → W^+ W^- . All of these particles are (in PYTHIA) only 
produced as part of the hard process itself, i.e. they are not produced 
in showers or hadronization processes. Therefore the restriction to 
specific decay channels can be consistently taken into account as a 
corresponding reduction in the cross section of a process. Finally, note 
that all of these resonances have an on-shell mass above 20 GeV, with the 
exception of some hypothetical weakly interacting and stable particles 
such as the gravitino. 

      •  

    •  
The other particles include normal hadrons and the Standard-Model leptons, 
including the tau^+-. These can be produced in the normal 
hadronization and decay description, which involve unknown nonperturbative 
parameters and multistep chains that cannot be predicted beforehand: 
a hard process like g g → g g can develop a shower with a 
g → b bbar branching, where the b hadronizes to a 
B^0bar that oscillates to a B^0 that decays to a 
tau^+. Therefore any change of branching ratios - most of which 
are determined from data rather than from first principles anyway - 
will not be taken into account in the cross section of a process. 
Exceptions exist, but most particles in this class are made to decay 
isotropically. Finally, note that all of these particles have a mass 
below 20 GeV. 

      •  

     
 
There is one ambiguous case in this classification, namely the photon. 
The gamma^*/Z^0 combination contains a low-mass peak when 
produced in a hard process. On the other hand, photons can participate 
in shower evolution, and therefore a photon originally assumed 
massless can be assigned an arbitrarily high mass when it is allowed 
to branch into a fermion pair. In some cases this could lead to 
double-counting, e.g. between processes such as 
f fbar → (gamma^*/Z^0) (gamma^*/Z^0), 
f fbar → (gamma^*/Z^0) gamma and 
f fbar → gamma gamma. Here it make sense to limit the 
lower mass allowed for the gamma^*/Z^0 combination, 
in 23:mMin, to be the same as the upper limit allowed 
for an off-shell photon in the shower evolution, in 
TimeShower:mMaxGamma. By default this matching is done 
at 10 GeV. 
 

     
In spite of the above-mentioned differences, the resonances and the 
other particles are all stored in one common 
particle data table, so as to offer a 
uniform interface to setting and 
getting properties such as name, mass, charge and decay modes, 
also for the particle properties 
in the event record. Some methods are specific to resonances, however, 
in particular for the calculation of partial widths and thereby of 
branching ratio. For resonances these can be calculated dynamically, 
set up at initialization for the nominal mass and then updated to the 
current mass when these are picked according to a Breit-Wigner resonance 
shape. 
 

    Resonance Decays and Cross Sections
     
 
As already hinted above, you have the possibility to set the allowed 
decay channels of resonances, see 
Particle Data Scheme description. 
For instance, if you study the process q qbar → H^0 Z^0 
you could specify that the Z^0 should decay only to 
lepton pairs, the H^0 only to W^+ W^-, the 
W^+ only to a muon and a neutrino, while the W^- 
can decay to anything. Unfortunately there are limits to the 
flexibility: you cannot set a resonance to have different properties 
in different places of a process, e.g. if instead 
H^0 → Z^0 Z^0 in the above process then the three 
Z^0's would all obey the same rules. 
 

     
The restrictions on the allowed final states of a process is directly 
reflected in the cross section of it. That is, if some final states 
are excluded then the cross section is reduced accordingly. Such 
restrictions are built up recursively in cases of sequential decay 
chains. The restrictions are also reflected in the compositions of 
those events that actually do get to be generated. For instance, 
the relative rates of H^0 → W^+ W^- and 
H^0 → Z^0 Z^0 are shifted when the allowed sets of 
W^+- and Z^0 decay channels are changed. 
 

     
We remind that only those particles that Pythia treat as resonances 
enjoy this property, and only those that are considered as part of the 
hard process and its associated resonance decays. 
 

     
There is one key restriction on resonances: 
 
Minimal allowed width of a resonance, in GeV. If the width falls below 
this number the resonance is considered stable and will not be allowed 
to decay. This is mainly intended as a technical parameter, to avoid 
disasters in cases where no open decay channels exists at all. It could 
be used for real-life decisions as well, however, but then typically 
would have to be much bigger than the default value. Special caution 
would be needed if coloured resonance particles were made stable, since 
the program would not necessarily know how to hadronize them, and 
therefore fail at that stage. 
 
 

     
In spite of this technical parameter choice, it is possible to set 
a lifetime for a resonance, and thereby to obtain displaced vertices. 
If a resonance is allowed to decay it will do so, irrespective of 
the location of the decay vertex. This is unlike 
normal particle decays, 
where it is possible to define some region around the primary 
vertex within which all decays should happen, with particles 
leaving that region considered stable. The logic is that resonances 
as a rule are too short-lived for secondary vertices, 
so if you pick a scenario with a long-lived but unstable resonance 
it is because you want to study secondary vertices. 
How to interface those decays to a detector simulation program then 
is another story, to be solved separately. Do note that a special 
treatment is needed for coloured long-lived resonances, that form 
R-hadrons, and where charge and flavour 
may change between the production and decay vertices. 
 

    Special properties and methods for resonances
     
 
The method ParticleData::isResonance(id) allows you to 
query whether a given particle species is considered a resonance or not. 
You can also change the default value of this flag in the normal way, 
e.g. pythia.readString("id:isResonance = true"). 


     
Resonances come in two kinds.

       

    •  
The standard built-in ones include Z^0, W^+-, 
t, h^0, and many more. These have explicit decay-widths 
formulae encoded, in classes derived from the 
ResonanceWidths 
base class. The formulae are used, e.g., to calculate all the partial 
widths as a function of the resonance masses you choose, and at 
initialization the existing total width values are overwritten.
This is especially convenient for hypothetical states, like a Z', 
where the mass is not known and therefore routinely changed. Often the
partial widths are associated with parameters that can be changed by the 
user, e.g. for MSSM Higgs states.

      •  

    •   
If a resonance does not have a class of its own, with hardcoded equations 
for all relevant partial widths, then a simpler object will be created 
at initialization. This object will take the total width and branching 
ratios as is (with the optional variations explained in the next section).
When you set a particle to be a resonance, and do not provide any
class to go with its width calculations, this is where it will end up.

      •  

     

Sometimes experimentalists want to modify the physical width of a 
resonance, to understand how sensitive analyses are to this width, 
if at all. For the second, simpler kind of resonances, the  
id:mWidth can be changed right away, but for the first
kind any change will be overwritten at initialization. To circumvent
this problem, the id:doForceWidth flag can be changed from
the default off to on. Then the width stored 
in id:mWidth is strictly used to describe the Breit-Wigner 
of the resonance. Partial widths are still recalculated to set the
mass-dependent branching ratios, but then uniformly rescaled to the
requested total width. The width can also run across the lineshape, 
so that it deviates from the nominal one in the wings of the
Breit-Wigner.


     
For processes that contain interference terms between resonances, 
notably gamma^*/Z^0 or gamma^*/Z^0/Z'^0, it is not
obvious how these contributions should be modified consistently. 
Therefore it is necessary to set WeakZ0:gmZmode = 2
or Zprime:gmZmode = 3, to have a pure Z^0 or 
Z'^0, respectively, for width forcing to be allowed in 
these cases.  


     
A warning is that the different processes have cross sections
that rescale in different ways when the resonance width is varied.
This depends on them not having been implemented in a guaranteed
uniform way. To illustrate the point, consider the case of an
s-channel resonance, where the cross section dependence 
on the width can be written as 

sigmaHat(sHat) = constant * Gamma_in * Gamma_out 
/ ((sHat - m^2)^2 + m^2 * Gamma^2)

Here the doForceWidth = on option ensures that the 
Gamma in the denominator is rescaled by some factor 
k relative to the natural width, but does not guarantee
that Gamma_in and Gamma_out are rescaled as well.
If all three are rescaled by the same factor k, as they
should, then the integrated cross section also scales like k, 
assuming that the peak is reasonably narrow, so that the variation 
of PDF's across the Breit-Wigner can be neglected. This is the case 
for some processes. But in others either or both of the production 
and decay vertices can have been hardcoded, based on the coupling 
structure, and thus not scale with k. If only 
Gamma_out scales with k, say,  the cross section 
remains (approximately) constant, and if neither scales the cross 
section will even go like 1/k. Such obvious normalization
imperfections have to be corrected by hand.
 

     
Mainly for internal usage, the 
ParticleData contain 
some special methods that are only meaningful for resonances: 

       

    • resInit(...) to initialize a resonance, possibly 
including a recalculation of the nominal width to match the nominal 
mass;
      •  

    • resWidth(...) to calculate the partial and total widths 
at the currently selected mass;
      •  

    • resWidthOpen(...) to calculate the partial and total 
widths of those channels left open by user switches, at the currently 
selected mass;
      •  

    • resWidthStore(...) to calculate the partial and total 
widths of those channels left open by user switches, at the currently 
selected mass, and store those as input for a subsequent selection of 
decay channel;
      •  

    • resOpenFrac(...) to return the fraction of the total 
width that is open by the decay channel selection made by users (based on 
the choice of onMode 
for the various decay channels, recursively calculated for sequential 
decays);
      •  

    • resWidthRescaleFactor(...) returns the factor by which 
the internally calculated PYTHIA width has to be rescaled to give the 
user-enforced width;
      •  

    • resWidthChan(...) to return the width for one particular 
channel (currently only used for Higgs decays, to obtain instate coupling 
from outstate width).
      •  

     
These methods actually provide an interface to the classes derived from 
the ResonanceWidths base class, to describe various 
resonances. 
  

    Modes for Matrix Element Processing
     
 
The meMode() value for a decay mode is used to specify 
nonisotropic decays or the conversion of 
a parton list into a set of hadrons in some channels of normal 
particles. For resonances it can also take a third function, namely 
to describe how the branching ratios and widths of a resonance should 
be rescaled as a function of the current mass of the decaying resonance. 
The rules are especially useful when new channels are added to an 
existing particle, or a completely new resonance added. 
 

       

    • 0 : channels for which hardcoded partial-width expressions are 
expected to exist in the derived class of the respective resonance. 
Should no such code exist then the partial width defaults to zero. 

      •  

    • 1 - 99 : same as 0, but normally not used for resonances.
      •  

    • 100 : calculate the partial width of the channel from its stored 
branching ratio times the stored total width. This value remains unchanged 
when the resonance fluctuates in mass. Specifically there are no 
threshold corrections. That is, if the resonance fluctuates down in 
mass, to below the nominal threshold, it is assumed that one of the 
daughters could also fluctuate down to keep the channel open. (If not, 
there may be problems later on.) 

      •  

    • 101 : calculate the partial width of the channel from its stored 
branching ratio times the stored total width. Multiply by a step threshold, 
i.e. the channel is switched off when the sum of the daughter on-shell 
masses is above the current mother mass.
      •  

    • 102 : calculate the partial width of the channel from its stored 
branching ratio times the stored total width. Multiply by a smooth 
threshold factor 
beta = sqrt( (1 - m_1^2/m_2 - m_2^2/m^2)^2 - 4 m_1^2 m_2^2/m^4) 
for two-body decays and sqrt(1 - Sum_i m_i / m) for multibody 
ones. The former correctly encodes the size of the phase space but 
misses out on any nontrivial matrix-element behaviour, while the latter 
obviously is a very crude simplification of the correct phase-space 
expression. Specifically, it is thereby assumed that the stored branching 
ratio and total width did not take into account such a factor.
      •  

    • 103 : use the same kind of behaviour and threshold factor as for 
102 above, but assume that such a threshold factor has been used when 
the default branching ratio and total width were calculated, so that one 
should additionally divide by the on-shell threshold factor. Specifically, 
this will give back the stored branching ratios for on-shell mass, 
unlike the 102 option. To avoid division by zero, or in general 
unreasonably big rescaling factors, a lower limit 
minThreshold (see below) on the value of the on-shell 
threshold factor is imposed. (In cases where a big rescaling is 
intentional, code 102 would be more appropriate.) 
      •  

     
 
 
Used uniquely for meMode = 103 to set the minimal value 
assumed for the threshold factor, 
sqrt( (1 - m_1^2/m_2 - m_2^2/m^2)^2 - 4 m_1^2 m_2^2/m^4) 
for two-body decays and sqrt(1 - Sum_i m_i / m) for multibody 
ones. Thus the inverse of this number sets an upper limit for how 
much the partial width of a channel can increase from the on-shell 
value to the value for asymptotically large resonance masses. Is mainly 
intended as a safety measure, to avoid unintentionally large rescalings. 
 
 

     
All of these meMode's may coexist for the same resonance. 
This would be the case e.g. if you want to add a few new channels to an 
already existing resonance, where the old partial widths come hardcoded 
while the new ones are read in from an external file. The typical example 
would be an MSSM Higgs sector, where partial widths to SM particles are 
already encoded, meMode = 0, while decay rates to sparticles 
are read in from some external calculation and maybe would be best 
approximated by using meMode = 103. Indeed the default 
particle table in PYTHIA uses 103 for all channels that are expected 
to be provided by external input. 
 

     
Some further clarification may be useful. At initialization the existing 
total width and on-shell branching ratios will be updated. For channels 
with meMode < 100 the originally stored branching ratios 
are irrelevant, since the existing code will anyway be used to calculate 
the partial widths from scratch. For channels with meMode = 100 
or bigger, instead the stored branching ratio is used together with the 
originally stored total width to define the correct on-shell partial width. 
The sum of partial widths then gives the new total width, and from there 
new branching ratios are defined. 
 

     
In these operations the original sum of branching ratios need not be 
normalized to unity. For instance, you may at input have a stored total 
width of 1 GeV and a sum of branching ratios of 2. After initialization 
the width will then have been changed to 2 GeV and the sum of branching 
ratios rescaled to unity. This might happen e.g. if you add a few channels 
to an existing resonance, without changing the branching ratios of the 
existing channels or the total width of the resonance. 
 

     
In order to simulate the Breit-Wigner shape correctly, it is important 
that all channels that contribute to the total width are included in the 
above operations. This must be kept separate from the issue of which 
channels you want to have switched on for a particular study, to be 
considered next. 
  

     
 
In the event-generation process, when an off-shell resonance mass has been 
selected, the width and branching ratios are re-evaluated for this new mass. 
At this stage also the effects of restrictions on allowed decay modes are 
taken into account, as set by the onMode switch for each 
separate decay channel. Thus a channel may be on or off, with different 
choices of open channels between the particle and its antiparticle. 
In addition, even when a channel is on, the decay may be into another 
resonance with its selection of allowed channels. It is these kinds of 
restrictions that lead to the Gamma_out possibly being 
smaller than Gamma_tot.  As a reminder, the Breit-Wigner for 
decays behaves like Gamma_out / ((s - m^2)^2 + s * Gamma_tot^2), 
where the width in the numerator is only to those channels being studied, 
but the one in the denominator to all channels of the particle. These 
ever-changing numbers are not directly visible to the user, but are only 
stored in a work area. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/ProgramFiles.xml0000444000175000017500000003451012357055026016747 0ustar  sunsun 
 

    Program Files
     
 
The code is subdivided into a set of files, mainly by physics 
task. Each file typically contains one main class, but often 
with a few related helper classes that are not used elsewhere in 
the program. Normally the files come in pairs. 

       

    • A header file, .h in the include 
subdirectory, where the public interface of the class is declared, 
and inline methods are defined.
      •  

    • A source code file, .cc in the src 
subdirectory, where most of the methods are implemented.
      •  

     
During compilation, related dependency files, .d, and 
compiled code, .o are created in the tmp 
subdirectory. 
 

     
In part the .xml documentation files in the 
xmldoc subdirectory have matching names, but the match 
is broken by the desire to group topics more by user interaction than 
internal operation. On these pages the function of the different code 
files is summarized. Currently, each .xml file is also 
translated into an .html one in the 
htmldoc subdirectory, to allow easy viewing of the 
contents in a web browser, and an .php one in 
phpdoc, for more sophisticated interactivity 
if that subdirectory is installed on a web server. 
 

     
Here is the current list of files, ordered alphabetically, with a brief 
description of contents. 
 
 
contains routines to analyze events. Currently it can do sphericity, 
thrust, Lund/Jade/Durham jet clustering, cone-jet finding, and the 
kT, anti-kT and Cambridge/Aachen algorithms for 
hadron colliders. 
 
 
 
contains some basic facilities of general use: a random number 
generator Rndm, a four-vector class Vec4, and a 
histogram class Hist. 
 
 
 
contains information on all partons extracted from one of the two 
beams. Defines modified parton distributions accordingly during the 
showering and multiparton interactions processing, thereby extending on 
the one-particle-inclusive distributions defined by the previous class. 
Finds the internal structure for a beam remnant. 
 
 
 
adds primordial kT to the set of hard subsystems, 
and combines these subsystems with the two beam remnants to provide 
the overall energy-momentum picture. Also ties together all the 
colour lines into consistent singlets. 
 
 
 
generates momentum spread of beams, and spread of collision vertex 
position. 
 
 
 
provides a simple method to impose Bose-Einstein correlations on 
pairs of identical mesons. 
 
 
 
contains the event record, which basically is a vector of particles. 
This file also contains the Particle class, used by 
Event. Pythia uses two Event 
objects, one for the process-level record (process) and 
one for the complete event (event). 
 
 
 
contains the external FJcore package, providing the coure functionality 
of the FastJet jet fiding package 
 
 
 
contains the classes for describing the fragmentation steps in 
flavour and in longitudinal and transverse momentum. 
 
 
 
defines some containers of parton systems, for use in 
the fragmentation routines. 
 
 
 
turns the parton-level event above into a set of outgoing particles, 
by applying string fragmentation (with special treatment for low-mass 
systems) and secondary decays, and optionally Bose-Einstein corrections. 
 
 
 
contains the beginning of a machinery for final state hadronic 
rescattering. 
 
 
 
basic classes for the handling of helicities in tau lepton decays. 
 
 
 
helicity-dependent decay matrix elements for the tau lepton. 
 
 
 
hadronization in models with a hidden sector that contains an unbroken 
SU(N), which gives confinement. The model and code is largely 
derived from the normal fragmentation classes. 
 
 
 
methods to reconstruct the imagined shower history of a 
matrix-element-generated multiparton configuration, as part of 
the CKKW-L matrix element merging. 
 
 
 
is a simple container that gives access to some information on the 
nature of the current process, such as Mandelstam variables. 
Also contains a small database for errors and warnings encountered 
during program execution. 
 
 
 
gives the possibility to feed in parton configurations for the 
subsequent event generation. One base class is defined, with containers 
for initialization and event information, that can be read from 
Pythia. Derived classes allow for a few different cases. 
 
 
 
is a header file only, for a class derived from the above LesHouches 
one, to be used for runtime interfacing to Fortran programs, such as 
PYTHIA 6. 
 
 
 
is a header file only, with interfaces to the key LHAPDF routines, 
as needed for a runtime interface. There is a file 
lhapdfdummy/LHAPDFdummy.cc with matching dummy 
implementations, however. This file is used to build a separate 
liblhapdfdummy library, to be linked when the LHAPDF 
library is not used, so as to avoid problems with undefined references. 
 
 
 
Wpapper class to interface matrix element merging schemes with Pythia. 
 
 
 
intercede in the normal shower evolution to construct the relevant 
Sudakov form factor suppressions as part of the CKKW-L matrix element 
merging. 
 
 
 
performs string fragmentation in cases where the colour singlet 
subsystem mass is so small that one or at most two primary hadrons 
should be produced from it. 
 
 
 
performs multiparton interactions. 
 
 
 
contains a database of all necessary particle data (masses, names, ..) 
and decay channels. 
 
 
 
performs the decays of all normal unstable hadrons and leptons, i.e. 
in mass up to and including b bbar systems. It is not 
intended for decays of electroweak resonances, like Z^0. 
 
 
 
contains parton distribution functions for the proton and electron. 
Currently very simple, with only two p parametrizations 
and one e ditto available, but it is possible to link in 
external sets. 
 
 
 
turns the (hard) process above into a complete set of partons, by 
adding initial- and final-state radiation, multiparton 
interactions, and beam remnants. 
 
 
 
keeps track of which partons belong to which partonic subsystem, 
i.e. one of the multiparton (semi)hard interactions with associated 
showers. 
 
 
 
selects a point in phase space for the hard-process generation, 
optimized separately for each process to give improved Monte Carlo 
efficiency. 
 
 
 
packages the information on a given subprocess, combining the 
phase-space selection and cross-section evaluation machineries 
with some statistics information. Also sets up the list of processes 
to be studied in a run. 
 
 
 
handles the generation of the (hard) process that sets the character 
of the event. This involves either using internally implemented 
processes or linking to Les Houches information. The latter can 
be by runtime interfaces or by reading in a file. This step also 
includes resonance decays. 
 
 
 
is the main class, that administrates the whole event generation 
process by making use of all the others classes. Objects of most 
other classes reside (directly or indirectly) inside Pythia, 
so only a Pythia object needs to be explicitly instantiated 
and addressed   by the user. 
 
 
 
contains an interface to convert the PYTHIA 8 event record into the 
HepMC format. The Pythia8ToHepMC.cc file is located in 
the subdirectory pythia8tohepmc and is used to build a 
separate libpythia8tohepmc library. 
 
 
 
is only a .h file, containing a typedef for 
double precision complex numbers. 
 
 
 
contains most of the Stdlib headers used in PYTHIA 8, 
with using directives. It defines M_PI if 
this is not already done. Also a few simple inline methods: 
pow2(x), pow3(x), pow4(x), 
pow5(x) and pow6(x) for small integer 
powers, and sqrtpos(x) where a max(0., x) 
ensures that one does not take the square root of a negative number. 
Also non-inlined GammaReal(x) for the Gamma 
function value of a real argument. 
 
 
 
decays resonances as part of the hard-process stage, in many cases 
(but not all) including angular correlations between the decay products. 
 
 
 
encodes some properties of resonances, in particular the dynamic 
calculation of widths. 
 
 
 
handles the production and decay of hadrons formed by long-lived 
gluinos, stops or sbottoms. 
 
 
 
contains a database of all flags, modes, parameters and words that 
determine the performance of the generator. Initial values are obtained 
from the contents of the .xml files, but these values can 
then be changed by the user. 
 
 
 
contains the cross sections and matrix elements for production of 
some particles in compositeness scenarios, specifically excited 
fermions. 
 
 
 
contains the cross sections and matrix elements for electroweak 
processes involving photons, Z^0's and W^+-'s. 
 
 
 
contains the cross sections and matrix elements for processes in 
scenarios involving extra dimensions. 
 
 
 
contains the cross sections and matrix elements for some generic 
processes, to be used as building blocks for a few BSM scenarios. 
 
 
 
contains the cross sections and matrix elements for Higgs production. 
 
 
 
contains the cross sections and matrix elements for particle production 
in left-right-symmetry scenarios, specifically righthanded Z 
and W bosons and doubly-charged Higgs bosons. 
 
 
 
contains the cross sections and matrix elements for leptoquark production. 
 
 
 
contains the cross sections and matrix elements for a Z'^0, 
a W^+- and a horizontal gauge boson R^0. 
 
 
 
contains the cross sections and matrix elements for charmonium and 
bottomonium production. 
 
 
 
contains the base class and derived classes for the evaluation of 
different matrix elements. Also keeps track of allowed incoming 
parton configurations and their cross sections, including parton 
densities. In order to keep this file from becoming too big, actual 
cross sections are found in several separate files of derived classes: 
SigmaQCD, SigmaEW, SigmaOnia, 
SigmaHiggs, SigmaSUSY, 
SigmaNewGaugeBosons, SigmaLeftRightSym, 
SigmaLeptoquark, SigmaCompositeness, 
SigmaExtraDim and SigmaGeneric. 
 
 
 
contains the cross sections and matrix elements for soft and hard 
QCD processes. 
 
 
 
contains the cross sections and matrix elements for Supersymmetric 
processes. 
 
 
 
contains parametrizations of total, elastic and diffractive hadronic 
cross sections. 
 
 
 
handles the communication between the SusyLesHouches 
classes and Pythia. 
 
 
 
performs spacelike initial-state transverse-momentum-ordered 
shower evolution. 
 
 
 
contains the running alpha_strong, with Lambda 
matching at flavour thresholds, the running alpha_em, 
CKM mixing matrices, and a few other parameters such as 
sin^2(theta_W). 
 
 
 
performs string fragmentation of a given set of partons. 
 
 
 
stores the various couplings used for SUSY cross sections and 
decays, as calculated from input e.g. based on the SUSY Les Houches 
Accord. 
 
 
 
contains information on SUSY parameters and particle data as specified 
by the SUSY Les Houches Accord. 
 
 
 
encodes some properties of supersymmetric resonances, similar to 
what ResonanceWidths does for other resonances. 
 
 
 
the main routines for handling tau lepton decays with helicity 
information. 
 
 
 
performs timelike final-state transverse-momentum-ordered 
shower evolution. 
 
 
 
Provides a way for a user to study the event at a few intermediate 
stages of evolution, to reject the event as a whole or to modify 
its cross-section weight. 
 
 
 
provides some matrix elements used for ME corrections of W 
and Z weak gauge boson emission in both initial- and final-state 
parton showers. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/MainProgramSettings.xml0000444000175000017500000003027112357055022020306 0ustar  sunsun 
 

    Main-Program and Related Settings
     
 

    Introduction
     
 
The main program is up to the user to write. However, 
sample main programs 
are provided. In one such class of programs, key settings of the run 
are read in from a "cards file". For experimental collaborations 
this is actually the most common way to run a program like PYTHIA. 
The commands in such a file may be of two types
     
(a) instructions directly to Pythia, like which 
processes to generate, and
     
(b) instructions to the main program for what it should do, 
like how many events to generate, and how many events should 
be listed.
     
In principle these two kinds could be kept completely separate. 
However, to make life simpler, a number of useful main-program 
settings are defined on this page, so that they are recognized by 
the Settings machinery. They can thus be put among 
the other cards without distinction. It is up to you to decide which 
ones, if any, you actually want to use when you write your main program. 
 

     
To further reduce the necessary amount of main-program code, some of 
the tasks that you can steer from your main program can also be done 
internally. This in particular relates to some information printing. 
To give an example, the Main:numberToList mode can be 
used by you in your main program to decide to list a few of the 
generated events, whereas Next:numberListEvent is used 
internally in a pythia.next() call to do such a listing 
automatically. Ultimately, in both cases, a 
pythia.event.list() call is the one that generates 
the listing, explicitly in the main program in the former case, 
implicitly called from pythia.next() in the latter. 
 

     
The settings names on this page thus fall into four main groups 

       

    • Init:... denote actions that automatically may be 
taken during the pythia.init() call.
      •  

    • Next:... denote actions that automatically may be 
taken during the pythia.next() call.
      •  

    • Stat:... denote actions that automatically may be 
taken during the pythia.stat() call.
      •  

    • Main:... denote actions that you yourself 
have the freedom to make use of in your main program.
      •  

     
The use of several of the Main:... options is deprecated 
in favour of the other possibilities. 
 

     
The Main:... options works like this. Once you have used 
the pythia.readFile(fileName) method to read in the cards 
file, where the values have been set, you can interrogate the 
Settings database to make the values available in your 
main program. A slight complication is that you need to use a different 
Settings method for each of the four possible return types 
that you want to extract. To save some typing the same method names are 
found directly in the Pythia class, and just send on to the 
Settings ones to do the job, e.g. 

     
  bool   showCS = pythia.flag("Main:showChangedSettings"); 
  int    nEvent = pythia.mode("Main:numberOfEvents"); 
  double spare1 = pythia.parm("Main:spareParm1"); 
  string file   = pythia.word("Main:allSettingsFile"); 

     
 

    Main-program settings
     
 
The settings in this section must be under the control of the 
user, i.e. there are no internal equivalents. 
 
 
The number of events to be generated. 
 
 
 
Allow this many times that pythia.next() returns false, 
i.e. that an event is flawed, before aborting the run. 
 
 

    Initialization settings
     
 
 
Print a list of all processes that will be simulated, with 
their estimated cross section maxima, as used for the 
subsequent Monte Carlo selection. Also print corresponding 
Les Houches initialization data, where relevant. 
 
 
 
Print initialization information for the multiparton interactions 
machinery. 
 
 
 
Print a list of the changed flag/mode/parameter/word settings. 
 
 
 
Print a list of all flag/mode/parameter/word settings. 
Warning: this will be a long list. 
 
 
 
Print a list of particle and decay data for those particles 
that were changed (one way or another). 
 
 
 
In the previous listing also include the resonances that are 
initialized at the beginning of a run and thus get new particle 
data, even if these may well agree with the default ones. 
Warning: this will be a rather long list. 
 
 
 
Print a list of all particle and decay data. 
Warning: this will be a long list. 
 
 
 
Print particle and decay data for the particle with this particular 
identity code. Default means that no particle is printed. 
 
 
 
Deprecated. Print a list of the changed flag/mode/parameter/word settings. 
 
 
 
Deprecated. Print a list of all flag/mode/parameter/word settings. 
Warning: this will be a long list. 
 
 
 
Deprecated. Print a list of particle and decay data for those particles 
that were changed (one way or another). 
 
 
 
Deprecated. In the previous listing also include the resonances that are 
initialized at the beginning of a run and thus get new particle 
data, even if these may well agree with the default ones. 
Warning: this will be a rather long list. 
 
 
 
Deprecated. Print a list of all particle and decay data. 
Warning: this will be a long list. 
 
 
 
Deprecated. Print particle and decay data for the particle with this 
particular identity code. Default means that no particle is printed. 
 
 
 
Write a file with the changed flag/mode/parameter/word settings, in 
a format appropriate to be read in at the beginning of a new 
run, using the pythia.readFile(fileName) method. 
 
 
 
The name of the file to which the changed flag/mode/parameter/word 
settings are written if Main:writeChangedSettings 
is on. 
 
 
 
Write a file with all flag/mode/parameter/word settings, in 
a format appropriate to be read in at the beginning of a new 
run, using the pythia.readFile(fileName) method. 
 
 
 
The name of the file to which a flag/mode/parameter/word 
settings are written if Main:writeAllSettings 
is on. 
 
 

    Event-generation settings
     
 
 
Print a line telling how many events have been generated so far, 
once every numberCount events. If set zero then no 
lines are ever printed. 
 
 
The number of events to list the Les Houches input information for, 
where relevant. 
 
 
 
The number of events to list the Info information for, 
where relevant. 
 
 
 
The number of events to list the process record for, 
where relevant. 
 
 
 
The number of events to list the event record for, 
where relevant. 
 
 
 
In addition to the normal information in the listing of the 
process and event records, a second line 
per particle provides information on the production scale, 
particle polarization and production vertex. 
 
 
 
In addition to the normal information in the listing of the 
process and event records, further lines 
list all the mothers and daughters of each particle. 
 
 
 
Deprecated. The number of events to list. 
 
 
 
Deprecated. Print the number of events generated so far, this many times, 
i.e. once every numberOfEvents/numberToShow events. 
 
 

    Statistics
     
 
 
Print the available statistics on number of generated events and 
cross sections, where relevant. 
 
 
 
Print the available statistics on number and types of multiparton 
interactions, where relevant. 
 
 
 
Print the available statistics on number and types of 
aborts, errors and warnings. 
 
 
 
Reset the statistics of the above three kinds. The default is that 
all stored statistics information is unaffected by the 
pythia.stat() call. Counters are automatically reset 
in each new pythia.init() call, however, so the only time 
the reset option makes a difference is if stat() 
is called several times in a (sub)run. 
 
 
 
Print all available statistics or only the minimal set at the end 
of the run. 
 
 

    Subruns
     
 
You can use subruns to carry out 
several tasks in the same run. In that case you will need repeated 
instances of the first setting below in your command file, and could 
additionally use the second and third as well. 
 
 
The number of the current subrun, a non-negative integer, put as 
first line in a section of lines to be read for this particular subrun. 
 
 
 
If you read several Les Houches Event Files that you want to see 
considered as one single combined event sample you can set this flag 
on after the first subrun to skip (most of) the 
(re-)initialization step. 
 
 
 
The number of subruns you intend to use in your current run. 
Unlike the two settings above, Pythia itself will not 
interpret this number, but you could e.g. have a loop in your main 
program to loop over subruns from 0 through 
numberOfSubruns - 1. 
 
 

    Spares
     
 
For currently unforeseen purposes, a few dummy settings are made 
available here. The user can set the desired value in a "cards file" 
and then use that value in the main program as desired. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/FourthGenerationProcesses.xml0000444000175000017500000001442612357055017021533 0ustar  sunsun 
 

    Fourth-Generation Processes
     
 
A fourth generation can be accommodated within the Standard Model, 
without the introduction of any new concepts. Many experimental 
constraints exist, but it has not been fully excluded. Therefore 
we offer a simple implementation, along the lines of the top. 
It could also be useful as a template for studies of other 
new particles with similar characteristics. 
 

     
The fourth generation are given names as in the third, but with a prime, 
i.e. b' with PDG code 7, t' with code 8, 
tau' with code 17, and nu'_tau with code 18. 
Most important for you is to assign a mass hierarchy, to decide which 
fermions can decay into which. The current implementation assumes that 
mass splittings are big enough that fourth-generation fermions can 
decay to third-generation ones by the emission of an on-shell W. 
To this end, the standard three-generation CKM mixing matrix has been 
extended to include a fourth generation, see below. Since no mixing has 
been implemented in the neutrino sector it would be assumed that the 
lighter of tau' and nu'_tau is stable. No decay modes 
have been implemented that go beyond the Standard Model, so 
modifications would be needed if e.g. also SUSY is included in the game. 
 

    Production processes
     
 

    1) b' processes
     
 
Different ways to produce b' quarks, singly or in pairs. 
For a b' t' pair see section 3 below. 
 
 
Common switch for the group of b' production. 
Also includes the process f fbar' → t' b'bar in section 3 below. 
 
 
 
Scatterings g g → b' b'bar. 
Code 801. 
 
 
 
Scatterings q qbar → b' b'bar by gluon exchange. 
Code 802. 
 
 
 
Scatterings q q' → b' q'' by t-channel exchange 
of a W^+- boson. 
Code 803. 
 
 
 
Scatterings f fbar → b' b'bar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 804. 
 
 
 
Scatterings f fbar' → b' qbar'' by s-channel exchange 
of a W^+- boson. Here q'' is either u or 
c. 
Code 805. 
 
 
 
Scatterings f fbar' → b' tbar by s-channel exchange 
of a W^+- boson. 
Code 806. 
 
 

    2) t' processes
     
 
Different ways to produce t' quarks, singly or in pairs. 
For a b' t' pair see section 3 below. 
 
 
Common switch for the group of t' production. 
Also includes the process f fbar' → t' b'bar in section 3 below. 
 
 
 
Scatterings g g → t' t'bar. 
Code 821. 
 
 
 
Scatterings q qbar → t' t'bar by gluon exchange. 
Code 822. 
 
 
 
Scatterings q q' → t' q'' by t-channel exchange 
of a W^+- boson. 
Code 823. 
 
 
 
Scatterings f fbar → t' t'bar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 824. 
 
 
 
Scatterings f fbar' → t' qbar'' by s-channel exchange 
of a W^+- boson. 
Code 825. 
 
 

    3) Pair-processes with different flavours
     
  
Different ways to produce two different fourth-generation fermions. 
 
 
Scatterings f fbar' → t' b'bar by s-channel exchange 
of a W^+- boson. 
Code 841. 
 
 
 
Scatterings f fbar' → tau' nu'_taubar by s-channel 
exchange of a W^+- boson. 
Code 842. 
 
 

     
Missing in this list is scatterings q q' → t' b' by 
t-channel exchange of a W^+- boson, since currently 
the matrix element for such processes have not been implemented for 
two massive particles in the final state. Since this process would 
involve two CKM-suppressed vertices it ought to be small. 
 

    Parameters
     
 
The Cabibbo-Kobayashi-Maskawa matrix is extended by seven further values. 
So as not to mess up the Standard Model, the normal 3 * 3 matrix is 
kept unitary, and so the new off-diagonal elements lead to a slight 
breaking of this. For exploratory studies this should be good enough; 
more detailed 4 * 4 tunes to data would only make sense the day there 
are evidence for the existence of a fourth generation. 
 
 
The V_ub' matrix element in the 4 * 4 CKM matrix. 
 
 
 
The V_cb' matrix element in the 4 * 4 CKM matrix. 
 
 
 
The V_tb' matrix element in the 4 * 4 CKM matrix. 
 
 
 
The V_t'd matrix element in the 4 * 4 CKM matrix. 
 
 
 
The V_t's matrix element in the 4 * 4 CKM matrix. 
 
 
 
The V_t'b matrix element in the 4 * 4 CKM matrix. 
 
 
 
The V_t'b' matrix element in the 4 * 4 CKM matrix. 
 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/ProcessSelection.xml0000444000175000017500000001305612357055026017643 0ustar  sunsun 
 

    Process Selection
     
 
There is no way PYTHIA could contain all processes of interest, 
neither in terms of potential physics topics nor in terms of 
high-multiplicity final states. What exists is a reasonably 
complete setup of all 2 → 1 and 2 → 2 
processes within the Standard Model, plus some examples of 
processes beyond that, again for low multiplicities. Combined with 
the PYTHIA parton showers, this should be enough to get a flying 
start in the study of many physics scenarios. 
Other processes could be fed in via the 
Les Houches Accord 
or be implemented as a 
Semi-Internal Process. 
In the latter case the existing processes would act as obvious 
templates. 
 

     
By default all processes are switched off. You should switch on 
those you want to simulate. This may be done at two (occasionally 
three) levels, either for each individual process or for a group of 
processes. That is, a process is going to be generated either if its 
own flag or its group flag is on. There is no built-in construction 
to switch on a group and then switch off a few of its members. 
 

     
Each process is assigned an integer code. This code is not used in 
the internal administration of events (so having the same code for 
two completely different processes would not be a problem), but only 
intended to allow a simpler user separation of different processes. 
Also the process name is available, as a string. 
 

     
To ease navigation, the list of processes has been split into several 
separate pages, by main topic. The classification is hopefully 
intuitive, but by no means unambiguous. For instance, essentially 
all processes involve QCD, so the "QCD processes" are the ones that 
only involve QCD. (And also that is not completely true, once one 
includes all that may happen in multiparton interactions.) On these 
separate pages also appear the settings that are completely local 
to that particular process class, but not the ones that have a 
broader usage. 
 

    QCD Processes
     
 
QCD processes fall in two main categories: soft and hard. The soft ones 
contain elastic, diffractive and "minimum-bias" events, together 
covering the total cross section. Hard processes are the normal 
2 → 2 ones, including charm and bottom production. 

    Reserved code range: 101 - 199. 
 

    Electroweak Processes
     
 
Prompt-photon, gamma^*/Z^0 and W^+- production, 
plus a few processes with t-channel boson exchange. 

    Reserved code range: 201 - 299. 
 

    Onia Processes
     
 
Colour singlet and octet production of charmonium and bottomonium. 

    Reserved code range: 401 - 499 for charmonium and 
501 - 599 for bottomonium. 
 

    Top Processes
     
 
Top production, singly or doubly. 

    Reserved code range: 601 - 699. 
 

    Fourth-Generation 
Processes
     
 
Production of hypothetical fourth-generation fermions. 

    Reserved code range: 801 - 899. 
 

    Higgs Processes
     
 
Higgs production, within or beyond the Standard Model. 
See section on Left-Right-Symmetry processes for doubly charged Higgs bosons. 

    Reserved code range: 901 - 999 for a Standard Model Higgs 
and 1001 - 1199 for MSSM Higgs bosons. 
 

    SUSY Processes
     
 
Production of supersymmetric particles, currently barely begun. 

    Reserved code range: 1001 - 2999. (Whereof 1001 - 1199 
for Higgs bosons; see above.) 
 

    New-Gauge-Boson 
Processes
     
 
Production of new gauge bosons such as Z' and W'. 

    Reserved code range: 3001 - 3099. 
 

    Left-Right-Symmetry 
Processes
     
 
Production of righthanded Z_R and W_R bosons and of 
doubly charged Higgs bosons. 

    Reserved code range: 3101 - 3199. 
 

    Leptoquark Processes
     
 
Production of a simple scalar leptoquark state. 

    Reserved code range: 3201 - 3299. 
 

    Compositeness Processes
     
 
Production of excited fermion states and contact-interaction modification 
to interactions between fermions (excluding technicolor; see below). 

    Reserved code range: 4001 - 4099. 
 

    Technicolor Processes
     
 
Production of technicolor particles and modifications of QCD processes 
by technicolor interactions. Does not exist yet. 

    Reserved code range: 4101 - 4199. 
 

    Hidden Valley Processes
     
A scenario for the pair production of new particles with couplings 
under a new gauge group, with invisible gauge bosons. Radiation of 
these gauge bosons is included in the standard final-state parton 
shower. 

    Reserved code range: 4901 - 4999. 
 

    Extra-Dimensional 
Processes
     
 
A vast area, here represented by the production of a Randall-Sundrum 
excited graviton state and a Kaluza-Klein gluon, a Kaluza-Klein tower 
of gamma/Z^0 excitations in one TeV^- sized extra dimension, 
several Large Extra Dimension processes, and a few related Unparticle 
processes. 

    Reserved code range: 5001 - 5099. 
 
     
 
 
 
pythia8-8.1.86.orig/xmldoc/NNPDF23_lo_as_0119_qed_mem0.grid0000444000175000017500000402642612357055023021122 0ustar  sunsun 'Version' '5.8'
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  0.0000000E+00  1.6204608E+01  3.8770628E+01  7.8507994E+01  2.7294649E+02  2.7315438E+02  2.6184914E+03  2.7315438E+02  2.7294653E+02  7.8507994E+01  3.8770628E+01  1.6204608E+01  0.0000000E+00  6.2640179E+00
  0.0000000E+00  2.3093278E+01  4.5419943E+01  8.4770845E+01  2.7660867E+02  2.7683656E+02  2.9504226E+03  2.7683656E+02  2.7660871E+02  8.4770845E+01  4.5419943E+01  2.3093278E+01  0.0000000E+00  6.7230890E+00
  0.0000000E+00  3.0498170E+01  5.2603703E+01  9.1580366E+01  2.8090765E+02  2.8115354E+02  3.3062793E+03  2.8115355E+02  2.8090769E+02  9.1580366E+01  5.2603703E+01  3.0498170E+01  0.0000000E+00  7.1828789E+00
  0.0000000E+00  3.8434638E+01  6.0340382E+01  9.8949348E+01  2.8596618E+02  2.8623168E+02  3.6866611E+03  2.8623170E+02  2.8596622E+02  9.8949348E+01  6.0340382E+01  3.8434638E+01  0.0000000E+00  7.6433908E+00
  0.0000000E+00  4.6917143E+01  6.8632086E+01  1.0688999E+02  2.9176957E+02  2.9205355E+02  4.0920643E+03  2.9205356E+02  2.9176961E+02  1.0688999E+02  6.8632086E+01  4.6917143E+01  0.0000000E+00  8.1046280E+00
  0.0000000E+00  5.5959164E+01  7.7491587E+01  1.1541378E+02  2.9818865E+02  2.9849113E+02  4.5228930E+03  2.9849114E+02  2.9818870E+02  1.1541378E+02  7.7491587E+01  5.5959164E+01  0.0000000E+00  8.5665940E+00
  0.0000000E+00  6.5573160E+01  8.6930716E+01  1.2453138E+02  3.0522278E+02  3.0554343E+02  4.9794682E+03  3.0554344E+02  3.0522283E+02  1.2453138E+02  8.6930716E+01  6.5573160E+01  0.0000000E+00  9.0292921E+00
  0.0000000E+00  7.5770542E+01  9.6960323E+01  1.3425261E+02  3.1287991E+02  3.1321748E+02  5.4620367E+03  3.1321749E+02  3.1287997E+02  1.3425261E+02  9.6960323E+01  7.5770542E+01  0.0000000E+00  9.4927257E+00
  0.0000000E+00  8.6561682E+01  1.0759028E+02  1.4458642E+02  3.2126757E+02  3.2162176E+02  5.9707792E+03  3.2162178E+02  3.2126763E+02  1.4458642E+02  1.0759028E+02  8.6561682E+01  0.0000000E+00  9.9568983E+00
  0.0000000E+00  9.7955940E+01  1.1882948E+02  1.5554086E+02  3.3034692E+02  3.3071738E+02  6.5058171E+03  3.3071740E+02  3.3034698E+02  1.5554086E+02  1.1882948E+02  9.7955940E+01  0.0000000E+00  1.0421813E+01
  0.0000000E+00  1.0996169E+02  1.3068590E+02  1.6712317E+02  3.4013611E+02  3.4052346E+02  7.0672195E+03  3.4052347E+02  3.4013617E+02  1.6712317E+02  1.3068590E+02  1.0996169E+02  0.0000000E+00  1.0887474E+01
  0.0000000E+00  1.2258635E+02  1.4316659E+02  1.7933970E+02  3.5071166E+02  3.5111211E+02  7.6550085E+03  3.5111213E+02  3.5071172E+02  1.7933970E+02  1.4316659E+02  1.2258635E+02  0.0000000E+00  1.1353885E+01
  0.0000000E+00  1.3583645E+02  1.5627774E+02  1.9219602E+02  3.6200159E+02  3.6241825E+02  8.2691647E+03  3.6241827E+02  3.6200165E+02  1.9219602E+02  1.5627774E+02  1.3583645E+02  0.0000000E+00  1.1821048E+01
  0.0000000E+00  1.4971766E+02  1.7002470E+02  2.0569693E+02  3.7395698E+02  3.7438963E+02  8.9096322E+03  3.7438964E+02  3.7395704E+02  2.0569693E+02  1.7002470E+02  1.4971766E+02  0.0000000E+00  1.2288968E+01
  0.0000000E+00  1.6423484E+02  1.8441207E+02  2.1984650E+02  3.8657929E+02  3.8702768E+02  9.5763222E+03  3.8702770E+02  3.8657936E+02  2.1984650E+02  1.8441207E+02  1.6423484E+02  0.0000000E+00  1.2757649E+01
  0.0000000E+00  1.7939209E+02  1.9944367E+02  2.3464808E+02  3.9986953E+02  4.0033343E+02  1.0269117E+04  4.0033345E+02  3.9986959E+02  2.3464808E+02  1.9944367E+02  1.7939209E+02  0.0000000E+00  1.3227093E+01
  0.0000000E+00  1.9519279E+02  2.1512266E+02  2.5010440E+02  4.1384180E+02  4.1431599E+02  1.0987875E+04  4.1431601E+02  4.1384186E+02  2.5010440E+02  2.1512266E+02  1.9519279E+02  0.0000000E+00  1.3697304E+01
  9.2625186E+00  2.1163999E+02  2.3145187E+02  2.6621884E+02  4.2859246E+02  4.2908158E+02  1.1719681E+04  4.2908160E+02  4.2859253E+02  2.6621884E+02  2.3145187E+02  2.1163999E+02  9.2625186E+00  1.4166797E+01
  2.7450666E+01  2.2873597E+02  2.4843320E+02  2.8299254E+02  4.4401657E+02  4.4452042E+02  1.2465910E+04  4.4452044E+02  4.4401663E+02  2.8299254E+02  2.4843320E+02  2.2873597E+02  2.7450666E+01  1.4635934E+01
  4.6262238E+01  2.4648505E+02  2.6607076E+02  3.0042835E+02  4.6011526E+02  4.6063366E+02  1.3238219E+04  4.6063368E+02  4.6011533E+02  3.0042835E+02  2.6607076E+02  2.4648505E+02  4.6262238E+01  1.5106154E+01
  6.5703135E+01  2.6489174E+02  2.8436889E+02  3.1853034E+02  4.7689127E+02  4.7742401E+02  1.4036484E+04  4.7742403E+02  4.7689133E+02  3.1853034E+02  2.8436889E+02  2.6489174E+02  6.5703135E+01  1.5577464E+01
  8.5778549E+01  2.8395990E+02  3.0333132E+02  3.3730199E+02  4.9434681E+02  4.9489373E+02  1.4860566E+04  4.9489375E+02  4.9434688E+02  3.3730199E+02  3.0333132E+02  2.8395990E+02  8.5778549E+01  1.6049872E+01
  1.0649301E+02  3.0369282E+02  3.2296122E+02  3.5674623E+02  5.1266295E+02  5.1320709E+02  1.5710310E+04  5.1320711E+02  5.1266302E+02  3.5674622E+02  3.2296122E+02  3.0369282E+02  1.0649301E+02  1.6523384E+01
  1.2785042E+02  3.2409327E+02  3.4326122E+02  3.7686546E+02  5.3170615E+02  5.3226365E+02  1.6585548E+04  5.3226367E+02  5.3170622E+02  3.7686546E+02  3.4326122E+02  3.2409327E+02  1.2785042E+02  1.6998007E+01
  1.4985410E+02  3.4516349E+02  3.6423347E+02  3.9766162E+02  5.5143847E+02  5.5200916E+02  1.7486102E+04  5.5200918E+02  5.5143854E+02  3.9766162E+02  3.6423347E+02  3.4516349E+02  1.4985410E+02  1.7473748E+01
  1.7250684E+02  3.6690525E+02  3.8587962E+02  4.1913618E+02  5.7186054E+02  5.7244425E+02  1.8411781E+04  5.7244428E+02  5.7186061E+02  4.1913618E+02  3.8587962E+02  3.6690525E+02  1.7250684E+02  1.7950616E+01
  1.9581092E+02  3.8931988E+02  4.0820091E+02  4.4129019E+02  5.9297263E+02  5.9356920E+02  1.9362388E+04  5.9356922E+02  5.9297270E+02  4.4129019E+02  4.0820091E+02  3.8931988E+02  1.9581092E+02  1.8428616E+01
  2.1976813E+02  4.1240829E+02  4.3119814E+02  4.6412427E+02  6.1477464E+02  6.1538391E+02  2.0337713E+04  6.1538393E+02  6.1477471E+02  4.6412427E+02  4.3119814E+02  4.1240829E+02  2.1976813E+02  1.8907757E+01
  2.4437982E+02  4.3617099E+02  4.5487174E+02  4.8763871E+02  6.3726615E+02  6.3788796E+02  2.1337544E+04  6.3788799E+02  6.3726622E+02  4.8763871E+02  4.5487174E+02  4.3617099E+02  2.4437982E+02  1.9388047E+01
  2.6964695E+02  4.6060814E+02  4.7922180E+02  5.1183341E+02  6.6063183E+02  6.6124250E+02  2.2361660E+04  6.6124251E+02  6.6063192E+02  5.1183341E+02  4.7922180E+02  4.6060814E+02  2.6964695E+02  1.9869492E+01
  2.9557008E+02  4.8571955E+02  5.0424803E+02  5.3670798E+02  6.8482451E+02  6.8544685E+02  2.3409835E+04  6.8544687E+02  6.8482460E+02  5.3670798E+02  5.0424803E+02  4.8571955E+02  2.9557008E+02  2.0352100E+01
  3.2214939E+02  5.1150473E+02  5.2994987E+02  5.6226169E+02  7.0971070E+02  7.1034456E+02  2.4481838E+04  7.1034457E+02  7.0971079E+02  5.6226169E+02  5.2994987E+02  5.1150473E+02  3.2214939E+02  2.0835879E+01
  3.4938477E+02  5.3796286E+02  5.5632645E+02  5.8849355E+02  7.3528883E+02  7.3593408E+02  2.5577436E+04  7.3593409E+02  7.3528893E+02  5.8849355E+02  5.5632645E+02  5.3796286E+02  3.4938477E+02  2.1320837E+01
  3.7727575E+02  5.6509287E+02  5.8337662E+02  6.1540230E+02  7.6155715E+02  7.6221363E+02  2.6696389E+04  7.6221364E+02  7.6155724E+02  6.1540230E+02  5.8337662E+02  5.6509287E+02  3.7727575E+02  2.1806982E+01
  4.0582160E+02  5.9289343E+02  6.1109898E+02  6.4298641E+02  7.8851365E+02  7.8918122E+02  2.7838458E+04  7.8918123E+02  7.8851375E+02  6.4298641E+02  6.1109898E+02  5.9289343E+02  4.0582160E+02  2.2294321E+01
  4.3502131E+02  6.2136297E+02  6.3949189E+02  6.7124416E+02  8.1615613E+02  8.1683464E+02  2.9003400E+04  8.1683466E+02  8.1615623E+02  6.7124416E+02  6.3949189E+02  6.2136297E+02  4.3502131E+02  2.2782864E+01
  4.6487361E+02  6.5049967E+02  6.6855352E+02  7.0017357E+02  8.4448220E+02  8.4517152E+02  3.0190970E+04  8.4517153E+02  8.4448230E+02  7.0017357E+02  6.6855352E+02  6.5049967E+02  4.6487361E+02  2.3272617E+01
  4.9537701E+02  6.8030155E+02  6.9828179E+02  7.2977250E+02  8.7348930E+02  8.7418928E+02  3.1400921E+04  8.7418930E+02  8.7348940E+02  7.2977250E+02  6.9828179E+02  6.8030155E+02  4.9537701E+02  2.3763589E+01
  5.2652981E+02  7.1076640E+02  7.2867447E+02  7.6003861E+02  9.0317469E+02  9.0388520E+02  3.2633008E+04  9.0388521E+02  9.0317478E+02  7.6003861E+02  7.2867447E+02  7.1076640E+02  5.2652981E+02  2.4255789E+01
  0.0000000E+00  1.0000000E-09  7.0000019E-10  5.1359832E+01  2.5118565E+02  2.5114175E+02  3.0093731E+02  2.5114176E+02  2.5118567E+02  5.1359832E+01  5.0000228E-10  8.0000079E-10  0.0000000E+00  1.7993740E+00
  0.0000000E+00  7.0000269E-10  5.0000292E-10  4.3895681E+01  2.4027744E+02  2.4025776E+02  3.5736923E+02  2.4025776E+02  2.4027747E+02  4.3895681E+01  4.0000377E-10  7.0000000E-10  0.0000000E+00  1.7928539E+00
  0.0000000E+00  8.0000000E-10  2.9204926E-01  3.8639706E+01  2.3152869E+02  2.3153225E+02  4.3942295E+02  2.3153226E+02  2.3152872E+02  3.8639706E+01  2.9204926E-01  8.0000137E-10  0.0000000E+00  1.8495385E+00
  0.0000000E+00  7.0000231E-10  2.3944529E+00  4.0054648E+01  2.2936057E+02  2.2938646E+02  5.8572155E+02  2.2938647E+02  2.2936060E+02  4.0054648E+01  2.3944529E+00  8.0000010E-10  0.0000000E+00  2.2297309E+00
  0.0000000E+00  7.0000067E-10  4.8879017E+00  4.1914534E+01  2.2800107E+02  2.2804856E+02  7.4283432E+02  2.2804857E+02  2.2800110E+02  4.1914534E+01  4.8879017E+00  7.0000803E-10  0.0000000E+00  2.6104466E+00
  0.0000000E+00  7.0000343E-10  7.7633981E+00  4.4220373E+01  2.2726175E+02  2.2733012E+02  9.1267765E+02  2.2733013E+02  2.2726178E+02  4.4220373E+01  7.7633981E+00  5.0000410E-10  0.0000000E+00  2.9916865E+00
  0.0000000E+00  9.0000348E-10  1.1021758E+01  4.6964539E+01  2.2713218E+02  2.2722090E+02  1.0967942E+03  2.2722091E+02  2.2713221E+02  4.6964539E+01  1.1021758E+01  7.0000346E-10  0.0000000E+00  3.3734528E+00
  0.0000000E+00  7.0000306E-10  1.4668867E+01  5.0134731E+01  2.2754085E+02  2.2764930E+02  1.2964270E+03  2.2764931E+02  2.2754089E+02  5.0134731E+01  1.4668867E+01  1.2000025E-09  0.0000000E+00  3.7557476E+00
  0.0000000E+00  1.2000046E-09  1.8710702E+01  5.3734425E+01  2.2854703E+02  2.2867463E+02  1.5127293E+03  2.2867463E+02  2.2854707E+02  5.3734426E+01  1.8710702E+01  1.0000038E-09  0.0000000E+00  4.1385733E+00
  0.0000000E+00  3.3635678E+00  2.3156329E+01  5.7769177E+01  2.3006631E+02  2.3021266E+02  1.7429070E+03  2.3021266E+02  2.3006635E+02  5.7769177E+01  2.3156329E+01  3.3635678E+00  0.0000000E+00  4.5217946E+00
  0.0000000E+00  8.4474747E+00  2.8017713E+01  6.2247203E+01  2.3214981E+02  2.3231406E+02  1.9906705E+03  2.3231407E+02  2.3214986E+02  6.2247204E+01  2.8017713E+01  8.4474747E+00  0.0000000E+00  4.9055450E+00
  0.0000000E+00  1.3954564E+01  3.3309016E+01  6.7180587E+01  2.3477105E+02  2.3495319E+02  2.2582952E+03  2.3495320E+02  2.3477109E+02  6.7180587E+01  3.3309016E+01  1.3954564E+01  0.0000000E+00  5.2898913E+00
  0.0000000E+00  1.9900011E+01  3.9050239E+01  7.2581557E+01  2.3790461E+02  2.3810416E+02  2.5464625E+03  2.3810417E+02  2.3790465E+02  7.2581557E+01  3.9050239E+01  1.9900011E+01  0.0000000E+00  5.6748367E+00
  0.0000000E+00  2.6298273E+01  4.5266712E+01  7.8462000E+01  2.4163637E+02  2.4185146E+02  2.8557407E+03  2.4185147E+02  2.4163643E+02  7.8462000E+01  4.5266712E+01  2.6298273E+01  0.0000000E+00  6.0603835E+00
  0.0000000E+00  3.3162940E+01  5.1958133E+01  8.4833252E+01  2.4600771E+02  2.4623920E+02  3.1865964E+03  2.4623921E+02  2.4600777E+02  8.4833252E+01  5.1958133E+01  3.3162940E+01  0.0000000E+00  6.4465347E+00
  0.0000000E+00  4.0506638E+01  5.9136431E+01  9.1705950E+01  2.5093244E+02  2.5118040E+02  3.5394056E+03  2.5118041E+02  2.5093250E+02  9.1705950E+01  5.9136431E+01  4.0506638E+01  0.0000000E+00  6.8332930E+00
  0.0000000E+00  4.8340983E+01  6.6812603E+01  9.9089954E+01  2.5638559E+02  2.5664973E+02  3.9144631E+03  2.5664974E+02  2.5638565E+02  9.9089954E+01  6.6812603E+01  4.8340983E+01  0.0000000E+00  7.2206612E+00
  0.0000000E+00  5.6676574E+01  7.4996695E+01  1.0699429E+02  2.6237714E+02  2.6265698E+02  4.3119922E+03  2.6265699E+02  2.6237721E+02  1.0699429E+02  7.4996695E+01  5.6676574E+01  0.0000000E+00  7.6086422E+00
  0.0000000E+00  6.5522991E+01  8.3697797E+01  1.1542715E+02  2.6905043E+02  2.6934505E+02  4.7321522E+03  2.6934506E+02  2.6905049E+02  1.1542715E+02  8.3697797E+01  6.5522991E+01  0.0000000E+00  7.9972389E+00
  0.0000000E+00  7.4888822E+01  9.2924057E+01  1.2439585E+02  2.7635592E+02  2.7666506E+02  5.1750459E+03  2.7666508E+02  2.7635599E+02  1.2439585E+02  9.2924057E+01  7.4888822E+01  0.0000000E+00  8.3864539E+00
  0.0000000E+00  8.4781702E+01  1.0268271E+02  1.3390691E+02  2.8425246E+02  2.8457577E+02  5.6407261E+03  2.8457579E+02  2.8425253E+02  1.3390691E+02  1.0268271E+02  8.4781702E+01  0.0000000E+00  8.7762904E+00
  0.0000000E+00  9.5208351E+01  1.1298012E+02  1.4396601E+02  2.9282109E+02  2.9315630E+02  6.1292015E+03  2.9315631E+02  2.9282116E+02  1.4396601E+02  1.1298012E+02  9.5208351E+01  0.0000000E+00  9.1667512E+00
  0.0000000E+00  1.0617462E+02  1.2382181E+02  1.5457810E+02  3.0205088E+02  3.0240048E+02  6.6404419E+03  3.0240049E+02  3.0205095E+02  1.5457810E+02  1.2382181E+02  1.0617462E+02  0.0000000E+00  9.5578392E+00
  0.0000000E+00  1.1768553E+02  1.3521251E+02  1.6574736E+02  3.1185824E+02  3.1222203E+02  7.1743827E+03  3.1222205E+02  3.1185832E+02  1.6574736E+02  1.3521251E+02  1.1768553E+02  0.0000000E+00  9.9495573E+00
  0.0000000E+00  1.2974535E+02  1.4715622E+02  1.7747728E+02  3.2224423E+02  3.2262200E+02  7.7309295E+03  3.2262202E+02  3.2224431E+02  1.7747728E+02  1.4715622E+02  1.2974535E+02  0.0000000E+00  1.0341909E+01
  0.0000000E+00  1.4235761E+02  1.5965622E+02  1.8977070E+02  3.3322273E+02  3.3361068E+02  8.3099613E+03  3.3361070E+02  3.3322281E+02  1.8977070E+02  1.5965622E+02  1.4235761E+02  0.0000000E+00  1.0734896E+01
  0.0000000E+00  1.5552518E+02  1.7271517E+02  2.0262985E+02  3.4486511E+02  3.4526652E+02  8.9113344E+03  3.4526655E+02  3.4486518E+02  2.0262985E+02  1.7271517E+02  1.5552518E+02  0.0000000E+00  1.1128522E+01
  0.0000000E+00  1.6925030E+02  1.8633507E+02  2.1605637E+02  3.5709183E+02  3.5750654E+02  9.5348848E+03  3.5750656E+02  3.5709191E+02  2.1605637E+02  1.8633507E+02  1.6925030E+02  0.0000000E+00  1.1522791E+01
  8.0416755E+00  1.8353488E+02  2.0051769E+02  2.3005244E+02  3.6990322E+02  3.7033103E+02  1.0169368E+04  3.7033105E+02  3.6990330E+02  2.3005244E+02  2.0051769E+02  1.8353488E+02  8.0416755E+00  1.1916451E+01
  2.3830633E+01  1.9838021E+02  2.1526395E+02  2.4461836E+02  3.8329678E+02  3.8373753E+02  1.0815938E+04  3.8373755E+02  3.8329686E+02  2.4461836E+02  2.1526395E+02  1.9838021E+02  2.3830633E+01  1.2309808E+01
  4.0157727E+01  2.1378933E+02  2.3057671E+02  2.5975591E+02  3.9727284E+02  3.9772637E+02  1.1484676E+04  3.9772639E+02  3.9727292E+02  2.5975591E+02  2.3057671E+02  2.1378933E+02  4.0157727E+01  1.2704072E+01
  5.7027353E+01  2.2976542E+02  2.4645902E+02  2.7546789E+02  4.1183306E+02  4.1229921E+02  1.2175438E+04  4.1229923E+02  4.1183314E+02  2.7546789E+02  2.4645902E+02  2.2976542E+02  5.7027353E+01  1.3099248E+01
  7.4443296E+01  2.4631111E+02  2.6291340E+02  2.9175660E+02  4.2698355E+02  4.2745729E+02  1.2888071E+04  4.2745731E+02  4.2698364E+02  2.9175660E+02  2.6291340E+02  2.4631111E+02  7.4443296E+01  1.3495343E+01
  9.2408768E+01  2.6342856E+02  2.7994188E+02  3.0862388E+02  4.4290206E+02  4.4337891E+02  1.3622409E+04  4.4337894E+02  4.4290215E+02  3.0862388E+02  2.7994188E+02  2.6342856E+02  9.2408768E+01  1.3892362E+01
  1.1092645E+02  2.8111944E+02  2.9754605E+02  3.2607109E+02  4.5941212E+02  4.5990076E+02  1.4378275E+04  4.5990078E+02  4.5941221E+02  3.2607109E+02  2.9754605E+02  2.8111944E+02  1.1092645E+02  1.4290311E+01
  1.2999852E+02  2.9938502E+02  3.1572705E+02  3.4409923E+02  4.7651392E+02  4.7701420E+02  1.5155486E+04  4.7701422E+02  4.7651401E+02  3.4409923E+02  3.1572705E+02  2.9938502E+02  1.2999852E+02  1.4689196E+01
  1.4962670E+02  3.1822615E+02  3.3448565E+02  3.6270887E+02  4.9420732E+02  4.9471910E+02  1.5953849E+04  4.9471913E+02  4.9420741E+02  3.6270887E+02  3.3448565E+02  3.1822615E+02  1.4962670E+02  1.5089024E+01
  1.6981230E+02  3.3764329E+02  3.5382223E+02  3.8190024E+02  5.1249186E+02  5.1301501E+02  1.6773166E+04  5.1301504E+02  5.1249195E+02  3.8190024E+02  3.5382223E+02  3.3764329E+02  1.6981230E+02  1.5489800E+01
  1.9055619E+02  3.5763657E+02  3.7373684E+02  4.0167324E+02  5.3136680E+02  5.3190119E+02  1.7613232E+04  5.3190121E+02  5.3136689E+02  4.0167324E+02  3.7373684E+02  3.5763657E+02  1.9055619E+02  1.5891530E+01
  2.1185892E+02  3.7820580E+02  3.9422919E+02  4.2202743E+02  5.5084720E+02  5.5137662E+02  1.8473838E+04  5.5137665E+02  5.5084731E+02  4.2202743E+02  3.9422919E+02  3.7820580E+02  2.1185892E+02  1.6294221E+01
  2.3372064E+02  3.9935045E+02  4.1529870E+02  4.4296212E+02  5.7117569E+02  5.7171061E+02  1.9354770E+04  5.7171063E+02  5.7117580E+02  4.4296212E+02  4.1529870E+02  3.9935045E+02  2.3372064E+02  1.6697880E+01
  2.5614123E+02  4.2106975E+02  4.3694453E+02  4.6447631E+02  5.9209667E+02  5.9264193E+02  2.0255810E+04  5.9264194E+02  5.9209678E+02  4.6447631E+02  4.3694453E+02  4.2106975E+02  2.5614123E+02  1.7102512E+01
  2.7912024E+02  4.4336266E+02  4.5916557E+02  4.8656879E+02  6.1360842E+02  6.1416388E+02  2.1176739E+04  6.1416390E+02  6.1360853E+02  4.8656879E+02  4.5916557E+02  4.4336266E+02  2.7912024E+02  1.7508124E+01
  3.0265695E+02  4.6622787E+02  4.8196045E+02  5.0923808E+02  6.3570898E+02  6.3627454E+02  2.2117335E+04  6.3627455E+02  6.3570910E+02  5.0923808E+02  4.8196045E+02  4.6622787E+02  3.0265695E+02  1.7914722E+01
  3.2675041E+02  4.8966388E+02  5.0532761E+02  5.3248250E+02  6.5839626E+02  6.5897178E+02  2.3077372E+04  6.5897179E+02  6.5839637E+02  5.3248250E+02  5.0532761E+02  4.8966388E+02  3.2675041E+02  1.8322313E+01
  3.5139938E+02  5.1366897E+02  5.2926527E+02  5.5630019E+02  6.8166793E+02  6.8225330E+02  2.4056626E+04  6.8225332E+02  6.8166804E+02  5.5630019E+02  5.2926527E+02  5.1366897E+02  3.5139938E+02  1.8730904E+01
  3.7660246E+02  5.3824121E+02  5.5377147E+02  5.8068907E+02  7.0552154E+02  7.0611664E+02  2.5054869E+04  7.0611666E+02  7.0552166E+02  5.8068907E+02  5.5377147E+02  5.3824121E+02  3.7660246E+02  1.9140502E+01
  4.0235801E+02  5.6337851E+02  5.7884405E+02  6.0564692E+02  7.2995448E+02  7.3055920E+02  2.6071874E+04  7.3055921E+02  7.2995460E+02  6.0564692E+02  5.7884405E+02  5.6337851E+02  4.0235801E+02  1.9551113E+01
  4.2866420E+02  5.8907862E+02  6.0448072E+02  6.3117135E+02  7.5496400E+02  7.5557821E+02  2.7107415E+04  7.5557823E+02  7.5496412E+02  6.3117135E+02  6.0448072E+02  5.8907862E+02  4.2866420E+02  1.9962744E+01
  4.5551905E+02  6.1533913E+02  6.3067903E+02  6.5725981E+02  7.8054722E+02  7.8117082E+02  2.8161262E+04  7.8117084E+02  7.8054734E+02  6.5725981E+02  6.3067903E+02  6.1533913E+02  4.5551905E+02  2.0375401E+01
  0.0000000E+00  7.0000033E-10  4.0000203E-10  4.4203084E+01  2.1612214E+02  2.1608389E+02  2.6578059E+02  2.1608390E+02  2.1612217E+02  4.4203083E+01  5.0000226E-10  6.0000125E-10  0.0000000E+00  1.5394492E+00
  0.0000000E+00  9.0000000E-10  6.0000181E-10  3.7496031E+01  2.0644508E+02  2.0642800E+02  3.1283541E+02  2.0642801E+02  2.0644511E+02  3.7496031E+01  5.0000044E-10  6.0000030E-10  0.0000000E+00  1.5346791E+00
  0.0000000E+00  8.0000013E-10  2.5106903E-01  3.2845952E+01  1.9878011E+02  1.9878321E+02  3.8191854E+02  1.9878322E+02  1.9878015E+02  3.2845952E+01  2.5106903E-01  6.0000050E-10  0.0000000E+00  1.5826475E+00
  0.0000000E+00  7.0000029E-10  2.0528540E+00  3.4050950E+01  1.9688289E+02  1.9690543E+02  5.0528019E+02  1.9690544E+02  1.9688293E+02  3.4050950E+01  2.0528540E+00  9.0000057E-10  0.0000000E+00  1.9000612E+00
  0.0000000E+00  5.0000192E-10  4.1837398E+00  3.5635737E+01  1.9567856E+02  1.9571988E+02  6.3845440E+02  1.9571989E+02  1.9567860E+02  3.5635737E+01  4.1837398E+00  6.0000464E-10  0.0000000E+00  2.2179146E+00
  0.0000000E+00  5.0000249E-10  6.6397026E+00  3.7606650E+01  1.9501156E+02  1.9507107E+02  7.8325841E+02  1.9507108E+02  1.9501160E+02  3.7606650E+01  6.6397026E+00  8.0000280E-10  0.0000000E+00  2.5362047E+00
  0.0000000E+00  9.0000175E-10  9.4257023E+00  3.9947800E+01  1.9485204E+02  1.9492926E+02  9.4089229E+02  1.9492927E+02  1.9485208E+02  3.9947800E+01  9.4257023E+00  9.0000280E-10  0.0000000E+00  2.8549334E+00
  0.0000000E+00  8.0000376E-10  1.2547513E+01  4.2658091E+01  1.9517809E+02  1.9527234E+02  1.1124928E+03  1.9527235E+02  1.9517814E+02  4.2658091E+01  1.2547513E+01  9.0000000E-10  0.0000000E+00  3.1741025E+00
  0.0000000E+00  8.0000067E-10  1.6012887E+01  4.5742386E+01  1.9602021E+02  1.9613104E+02  1.2991858E+03  1.9613105E+02  1.9602026E+02  4.5742386E+01  1.6012887E+01  6.0000119E-10  0.0000000E+00  3.4937137E+00
  0.0000000E+00  2.8913550E+00  1.9831117E+01  4.9206901E+01  1.9732581E+02  1.9745289E+02  1.4987548E+03  1.9745290E+02  1.9732586E+02  4.9206902E+01  1.9831117E+01  2.8913550E+00  0.0000000E+00  3.8136530E+00
  0.0000000E+00  7.2676523E+00  2.4013645E+01  5.3059806E+01  1.9910807E+02  1.9925103E+02  1.7136364E+03  1.9925104E+02  1.9910812E+02  5.3059806E+01  2.4013645E+01  7.2676523E+00  0.0000000E+00  4.1340324E+00
  0.0000000E+00  1.2015644E+01  2.8574606E+01  5.7312316E+01  2.0135328E+02  2.0151184E+02  1.9461315E+03  2.0151185E+02  2.0135334E+02  5.7312316E+01  2.8574606E+01  1.2015644E+01  0.0000000E+00  4.4549085E+00
  0.0000000E+00  1.7148978E+01  3.3543349E+01  6.1975516E+01  2.0405445E+02  2.0422715E+02  2.1967852E+03  2.0422716E+02  2.0405451E+02  6.1975516E+01  3.3543349E+01  1.7148978E+01  0.0000000E+00  4.7762836E+00
  0.0000000E+00  2.2680460E+01  3.8918313E+01  6.7059974E+01  2.0731753E+02  2.0750455E+02  2.4660419E+03  2.0750457E+02  2.0731760E+02  6.7059974E+01  3.8918313E+01  2.2680460E+01  0.0000000E+00  5.0981597E+00
  0.0000000E+00  2.8621959E+01  4.4710679E+01  7.2575599E+01  2.1110277E+02  2.1130433E+02  2.7542556E+03  2.1130435E+02  2.1110284E+02  7.2575599E+01  4.4710679E+01  2.8621959E+01  0.0000000E+00  5.4205395E+00
  0.0000000E+00  3.4984349E+01  5.0930718E+01  7.8531538E+01  2.1535692E+02  2.1557284E+02  3.0617012E+03  2.1557286E+02  2.1535699E+02  7.8531538E+01  5.0930718E+01  3.4984349E+01  0.0000000E+00  5.7434252E+00
  0.0000000E+00  4.1777505E+01  5.7587766E+01  8.4936136E+01  2.2007345E+02  2.2030347E+02  3.3885831E+03  2.2030349E+02  2.2007352E+02  8.4936136E+01  5.7587766E+01  4.1777505E+01  0.0000000E+00  6.0668189E+00
  0.0000000E+00  4.9010307E+01  6.4690228E+01  9.1796911E+01  2.2527844E+02  2.2552170E+02  3.7350438E+03  2.2552172E+02  2.2527852E+02  9.1796911E+01  6.4690228E+01  4.9010307E+01  0.0000000E+00  6.3907231E+00
  0.0000000E+00  5.6690668E+01  7.2245589E+01  9.9120559E+01  2.3101801E+02  2.3127422E+02  4.1011713E+03  2.3127425E+02  2.3101809E+02  9.9120559E+01  7.2245589E+01  5.6690668E+01  0.0000000E+00  6.7151402E+00
  0.0000000E+00  6.4825570E+01  8.0260451E+01  1.0691297E+02  2.3732974E+02  2.3759823E+02  4.4870058E+03  2.3759826E+02  2.3732982E+02  1.0691297E+02  8.0260451E+01  6.4825570E+01  0.0000000E+00  7.0400725E+00
  0.0000000E+00  7.3421110E+01  8.8740565E+01  1.1517927E+02  2.4426263E+02  2.4454209E+02  4.8925458E+03  2.4454211E+02  2.4426271E+02  1.1517927E+02  8.8740565E+01  7.3421110E+01  0.0000000E+00  7.3655225E+00
  0.0000000E+00  8.2482547E+01  9.7690882E+01  1.2392383E+02  2.5176559E+02  2.5205681E+02  5.3177529E+03  2.5205684E+02  2.5176568E+02  1.2392383E+02  9.7690882E+01  8.2482547E+01  0.0000000E+00  7.6914925E+00
  0.0000000E+00  9.2014351E+01  1.0711559E+02  1.3315031E+02  2.5979285E+02  2.6009664E+02  5.7625567E+03  2.6009666E+02  2.5979294E+02  1.3315031E+02  1.0711559E+02  9.2014351E+01  0.0000000E+00  8.0179849E+00
  0.0000000E+00  1.0202026E+02  1.1701817E+02  1.4286172E+02  2.6834408E+02  2.6865782E+02  6.2268590E+03  2.6865785E+02  2.6834417E+02  1.4286172E+02  1.1701817E+02  1.0202026E+02  0.0000000E+00  8.3450022E+00
  0.0000000E+00  1.1250332E+02  1.2740144E+02  1.5306044E+02  2.7745338E+02  2.7777924E+02  6.7105375E+03  2.7777927E+02  2.7745347E+02  1.5306044E+02  1.2740144E+02  1.1250332E+02  0.0000000E+00  8.6725470E+00
  0.0000000E+00  1.2346594E+02  1.3826760E+02  1.6374829E+02  2.8706962E+02  2.8740743E+02  7.2134486E+03  2.8740746E+02  2.8706971E+02  1.6374829E+02  1.3826760E+02  1.2346594E+02  0.0000000E+00  9.0006214E+00
  0.0000000E+00  1.3490994E+02  1.4961827E+02  1.7492653E+02  2.9719240E+02  2.9754201E+02  7.7354310E+03  2.9754204E+02  2.9719249E+02  1.7492653E+02  1.4961827E+02  1.3490994E+02  0.0000000E+00  9.3292284E+00
  0.0000000E+00  1.4683660E+02  1.6145454E+02  1.8659592E+02  3.0782097E+02  3.0818222E+02  8.2763076E+03  3.0818225E+02  3.0782106E+02  1.8659592E+02  1.6145454E+02  1.4683660E+02  0.0000000E+00  9.6583702E+00
  6.9836877E+00  1.5924693E+02  1.7377727E+02  1.9875766E+02  3.1895492E+02  3.1932766E+02  8.8262850E+03  3.1932769E+02  3.1895501E+02  1.9875766E+02  1.7377727E+02  1.5924693E+02  6.9836877E+00  9.9869985E+00
  2.0693241E+01  1.7214136E+02  1.8658662E+02  2.1141134E+02  3.3059146E+02  3.3097555E+02  9.3863336E+03  3.3097558E+02  3.3059156E+02  2.1141134E+02  1.8658662E+02  1.7214136E+02  2.0693241E+01  1.0315368E+01
  3.4866725E+01  1.8552188E+02  1.9988439E+02  2.2455788E+02  3.4273027E+02  3.4312558E+02  9.9651710E+03  3.4312561E+02  3.4273037E+02  2.2455788E+02  1.9988439E+02  1.8552188E+02  3.4866725E+01  1.0644494E+01
  4.9507290E+01  1.9939058E+02  2.1367256E+02  2.3819905E+02  3.5537214E+02  3.5577854E+02  1.0562644E+04  3.5577857E+02  3.5537224E+02  2.3819905E+02  2.1367256E+02  1.9939058E+02  4.9507290E+01  1.0974379E+01
  6.4617557E+01  2.1374910E+02  2.2795268E+02  2.5233620E+02  3.6858266E+02  3.6898858E+02  1.1178592E+04  3.6898861E+02  3.6858276E+02  2.5233620E+02  2.2795268E+02  2.1374910E+02  6.4617557E+01  1.1305030E+01
  8.0199660E+01  2.2859866E+02  2.4272586E+02  2.6697025E+02  3.8239215E+02  3.8280858E+02  1.1812842E+04  3.8280862E+02  3.8239226E+02  2.6697025E+02  2.4272586E+02  2.2859866E+02  8.0199660E+01  1.1636451E+01
  9.6255282E+01  2.4394007E+02  2.5799283E+02  2.8210178E+02  3.9670932E+02  3.9713614E+02  1.2465217E+04  3.9713617E+02  3.9670942E+02  2.8210178E+02  2.5799283E+02  2.4394007E+02  9.6255282E+01  1.1968647E+01
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  1.2979175E+02  2.7609997E+02  2.9000930E+02  3.1385778E+02  4.2686455E+02  4.2731181E+02  1.3823599E+04  4.2731184E+02  4.2686466E+02  3.1385778E+02  2.9000930E+02  2.7609997E+02  1.2979175E+02  1.2635384E+01
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  2.0257803E+02  3.4632093E+02  3.5996319E+02  3.8332860E+02  4.9364354E+02  4.9411076E+02  1.6749443E+04  4.9411078E+02  4.9364367E+02  3.8332860E+02  3.5996319E+02  3.4632093E+02  2.0257803E+02  1.3978380E+01
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  2.6215692E+02  4.0412122E+02  4.1757849E+02  4.4061097E+02  5.4941272E+02  5.4990711E+02  1.9120392E+04  5.4990713E+02  5.4941286E+02  4.4061097E+02  4.1757849E+02  4.0412122E+02  2.6215692E+02  1.4994124E+01
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  3.0423679E+02  4.4507691E+02  4.5841731E+02  4.8124034E+02  5.8908402E+02  5.8959602E+02  2.0781994E+04  5.8959604E+02  5.8908417E+02  4.8124034E+02  4.5841731E+02  4.4507691E+02  3.0423679E+02  1.5675413E+01
  3.2598031E+02  4.6627546E+02  4.7955923E+02  5.0228102E+02  6.0965979E+02  6.1018045E+02  2.1636459E+04  6.1018047E+02  6.0965993E+02  5.0228102E+02  4.7955923E+02  4.6627546E+02  3.2598031E+02  1.6017312E+01
  3.4819044E+02  4.8795151E+02  5.0117979E+02  5.2380255E+02  6.3072538E+02  6.3125460E+02  2.2506421E+04  6.3125462E+02  6.3072552E+02  5.2380255E+02  5.0117979E+02  4.8795151E+02  3.4819044E+02  1.6360055E+01
  3.7086516E+02  5.1010264E+02  5.2327653E+02  5.4580241E+02  6.5227795E+02  6.5281564E+02  2.3391673E+04  6.5281567E+02  6.5227810E+02  5.4580241E+02  5.2327653E+02  5.1010264E+02  3.7086516E+02  1.6703647E+01
  3.9400230E+02  5.3272634E+02  5.4584691E+02  5.6827798E+02  6.7431459E+02  6.7486066E+02  2.4292006E+04  6.7486068E+02  6.7431474E+02  5.6827798E+02  5.4584691E+02  5.3272634E+02  3.9400230E+02  1.7048095E+01
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  0.0000000E+00  5.0000205E-10  1.0000400E-10  3.1839525E+01  1.7682660E+02  1.7681181E+02  2.7074178E+02  1.7681182E+02  1.7682664E+02  3.1839525E+01  7.0000000E-10  6.0000115E-10  0.0000000E+00  1.3134379E+00
  0.0000000E+00  5.0000000E-10  2.1469949E-01  2.7804110E+01  1.7020635E+02  1.7020903E+02  3.2920307E+02  1.7020904E+02  1.7020639E+02  2.7804110E+01  2.1469949E-01  7.0000010E-10  0.0000000E+00  1.3541349E+00
  0.0000000E+00  7.0000000E-10  1.7521988E+00  2.8827322E+01  1.6856004E+02  1.6857955E+02  4.3337335E+02  1.6857956E+02  1.6856008E+02  2.8827323E+01  1.7521988E+00  8.0000115E-10  0.0000000E+00  1.6178654E+00
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  0.0000000E+00  4.0000180E-10  5.6613829E+00  3.1860217E+01  1.6689454E+02  1.6694608E+02  6.7014138E+02  1.6694609E+02  1.6689459E+02  3.1860217E+01  5.6613829E+00  6.0000517E-10  0.0000000E+00  2.1464098E+00
  0.0000000E+00  7.0000297E-10  8.0405247E+00  3.3857165E+01  1.6674132E+02  1.6680804E+02  8.0538582E+02  1.6680805E+02  1.6674138E+02  3.3857165E+01  8.0405247E+00  6.0000136E-10  0.0000000E+00  2.4112267E+00
  0.0000000E+00  8.0000341E-10  1.0711219E+01  3.6175033E+01  1.6703256E+02  1.6711407E+02  9.5320900E+02  1.6711408E+02  1.6703262E+02  3.6175033E+01  1.0711219E+01  4.0000415E-10  0.0000000E+00  2.6764088E+00
  0.0000000E+00  1.2000000E-09  1.3682172E+01  3.8819591E+01  1.6774055E+02  1.6783660E+02  1.1150501E+03  1.6783661E+02  1.6774061E+02  3.8819591E+01  1.3682172E+01  9.0000523E-10  0.0000000E+00  2.9419576E+00
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  0.0000000E+00  2.4720073E+01  3.8474221E+01  6.2001901E+01  1.8078620E+02  1.8096100E+02  2.3816840E+03  1.8096103E+02  1.8078629E+02  6.2001901E+01  3.8474221E+01  2.4720073E+01  0.0000000E+00  4.5428317E+00
  0.0000000E+00  3.0237584E+01  4.3869681E+01  6.7170238E+01  1.8446978E+02  1.8465707E+02  2.6498908E+03  1.8465710E+02  1.8446988E+02  6.7170238E+01  4.3869681E+01  3.0237584E+01  0.0000000E+00  4.8110935E+00
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  0.0000000E+00  1.1711141E+02  1.2968282E+02  1.5101221E+02  2.5591579E+02  2.5621968E+02  6.7172150E+03  2.5621972E+02  2.5591591E+02  1.5101221E+02  1.2968282E+02  1.1711141E+02  0.0000000E+00  7.7902161E+00
  0.0000000E+00  1.2747906E+02  1.3997310E+02  1.6115902E+02  2.6516007E+02  2.6547416E+02  7.1862480E+03  2.6547420E+02  2.6516019E+02  1.6115902E+02  1.3997310E+02  1.2747906E+02  0.0000000E+00  8.0636651E+00
  6.0666069E+00  1.3826432E+02  1.5068339E+02  1.7173089E+02  2.7484060E+02  2.7516477E+02  7.6628019E+03  2.7516481E+02  2.7484072E+02  1.7173089E+02  1.5068339E+02  1.3826432E+02  6.0666069E+00  8.3366824E+00
  1.7973470E+01  1.4946697E+02  1.6181321E+02  1.8272685E+02  2.8495440E+02  2.8528854E+02  8.1476916E+03  2.8528857E+02  2.8495452E+02  1.8272685E+02  1.6181321E+02  1.4946697E+02  1.7973470E+01  8.6094799E+00
  3.0279692E+01  1.6108812E+02  1.7336353E+02  1.9414712E+02  2.9550062E+02  2.9584462E+02  8.6484596E+03  2.9584466E+02  2.9550075E+02  1.9414712E+02  1.7336353E+02  1.6108812E+02  3.0279692E+01  8.8829040E+00
  4.2987394E+01  1.7312896E+02  1.8533548E+02  2.0599265E+02  3.0648976E+02  3.0683430E+02  9.1649483E+03  3.0683434E+02  3.0648989E+02  2.0599265E+02  1.8533548E+02  1.7312896E+02  4.2987394E+01  9.1569588E+00
  5.6098254E+01  1.8559035E+02  1.9772977E+02  2.1826399E+02  3.1803566E+02  3.1838958E+02  9.6969930E+03  3.1838962E+02  3.1803579E+02  2.1826399E+02  1.9772977E+02  1.8559035E+02  5.6098254E+01  9.4316483E+00
  6.9613535E+01  1.9847273E+02  2.1054681E+02  2.3096138E+02  3.3001715E+02  3.3038035E+02  1.0244423E+04  3.3038039E+02  3.3001728E+02  2.3096138E+02  2.1054681E+02  1.9847273E+02  6.9613535E+01  9.7069764E+00
  8.3534120E+01  2.1177626E+02  2.2378666E+02  2.4408474E+02  3.4243353E+02  3.4280590E+02  1.0807063E+04  3.4280594E+02  3.4243366E+02  2.4408474E+02  2.2378666E+02  2.1177626E+02  8.3534120E+01  9.9829473E+00
  9.7860541E+01  2.2550076E+02  2.3744907E+02  2.5763370E+02  3.5528383E+02  3.5566528E+02  1.1384732E+04  3.5566533E+02  3.5528397E+02  2.5763370E+02  2.3744907E+02  2.2550076E+02  9.7860541E+01  1.0259565E+01
  1.1259301E+02  2.3964581E+02  2.5153354E+02  2.7160761E+02  3.6856690E+02  3.6895734E+02  1.1977247E+04  3.6895738E+02  3.6856704E+02  2.7160762E+02  2.5153354E+02  2.3964581E+02  1.1259301E+02  1.0536834E+01
  1.2773143E+02  2.5421070E+02  2.6603930E+02  2.8600560E+02  3.8228135E+02  3.8268068E+02  1.2584423E+04  3.8268072E+02  3.8228148E+02  2.8600560E+02  2.6603930E+02  2.5421070E+02  1.2773143E+02  1.0814758E+01
  1.4327544E+02  2.6919448E+02  2.8096535E+02  3.0082655E+02  3.9655918E+02  3.9695059E+02  1.3206070E+04  3.9695061E+02  3.9655933E+02  3.0082655E+02  2.8096535E+02  2.6919448E+02  1.4327544E+02  1.1093342E+01
  1.5922443E+02  2.8459600E+02  2.9631048E+02  3.1606913E+02  4.1133476E+02  4.1173447E+02  1.3841998E+04  4.1173450E+02  4.1133492E+02  3.1606913E+02  2.9631048E+02  2.8459600E+02  1.5922443E+02  1.1372589E+01
  1.7557753E+02  3.0041390E+02  3.1207327E+02  3.3173183E+02  4.2654055E+02  4.2694848E+02  1.4492017E+04  4.2694851E+02  4.2654071E+02  3.3173183E+02  3.1207327E+02  3.0041390E+02  1.7557753E+02  1.1652504E+01
  1.9233370E+02  3.1664664E+02  3.2825212E+02  3.4781297E+02  4.4217446E+02  4.4259054E+02  1.5155933E+04  4.4259056E+02  4.4217463E+02  3.4781297E+02  3.2825212E+02  3.1664664E+02  1.9233370E+02  1.1933092E+01
  2.0949166E+02  3.3329250E+02  3.4484528E+02  3.6431069E+02  4.5823428E+02  4.5865841E+02  1.5833554E+04  4.5865844E+02  4.5823445E+02  3.6431069E+02  3.4484528E+02  3.3329250E+02  2.0949166E+02  1.2214357E+01
  2.2704999E+02  3.5034961E+02  3.6185083E+02  3.8122301E+02  4.7471766E+02  4.7514976E+02  1.6524688E+04  4.7514979E+02  4.7471783E+02  3.8122301E+02  3.6185083E+02  3.5034961E+02  2.2704999E+02  1.2496303E+01
  2.4500706E+02  3.6781596E+02  3.7926672E+02  3.9854777E+02  4.9162212E+02  4.9206212E+02  1.7229142E+04  4.9206215E+02  4.9162230E+02  3.9854777E+02  3.7926672E+02  3.6781596E+02  2.4500706E+02  1.2778935E+01
  2.6336114E+02  3.8568942E+02  3.9709077E+02  4.1628274E+02  5.0894511E+02  5.0939292E+02  1.7946725E+04  5.0939295E+02  5.0894528E+02  4.1628274E+02  3.9709077E+02  3.8568942E+02  2.6336114E+02  1.3062258E+01
  2.8211032E+02  4.0396773E+02  4.1532069E+02  4.3442554E+02  5.2668395E+02  5.2713950E+02  1.8677244E+04  5.2713953E+02  5.2668413E+02  4.3442554E+02  4.1532069E+02  4.0396773E+02  2.8211032E+02  1.3346275E+01
  3.0125258E+02  4.2264852E+02  4.3395406E+02  4.5297371E+02  5.4483589E+02  5.4529910E+02  1.9420511E+04  5.4529913E+02  5.4483607E+02  4.5297371E+02  4.3395406E+02  4.2264852E+02  3.0125258E+02  1.3630993E+01
  3.2078580E+02  4.4172933E+02  4.5298841E+02  4.7192468E+02  5.6339811E+02  5.6386891E+02  2.0176336E+04  5.6386894E+02  5.6339829E+02  4.7192468E+02  4.5298841E+02  4.4172933E+02  3.2078580E+02  1.3916414E+01
  3.4070773E+02  4.6120762E+02  4.7242114E+02  4.9127583E+02  5.8236771E+02  5.8284602E+02  2.0944532E+04  5.8284605E+02  5.8236789E+02  4.9127583E+02  4.7242114E+02  4.6120762E+02  3.4070773E+02  1.4202545E+01
  0.0000000E+00  6.0000000E-10  5.0000000E-10  3.2003887E+01  1.5830164E+02  1.5827298E+02  2.0065985E+02  1.5827299E+02  1.5830169E+02  3.2003886E+01  4.0000074E-10  5.0000060E-10  0.0000000E+00  1.1256592E+00
  0.0000000E+00  7.0000000E-10  4.0000000E-10  2.6861058E+01  1.5101922E+02  1.5100651E+02  2.3318064E+02  1.5100652E+02  1.5101927E+02  2.6861057E+01  2.0000041E-10  5.0000000E-10  0.0000000E+00  1.1239944E+00
  0.0000000E+00  4.0000038E-10  1.8286909E-01  2.3462186E+01  1.4541697E+02  1.4541928E+02  2.8276147E+02  1.4541929E+02  1.4541702E+02  2.3462186E+01  1.8286909E-01  6.0000000E-10  0.0000000E+00  1.1584917E+00
  0.0000000E+00  6.0000098E-10  1.4903728E+00  2.4334586E+01  1.4399948E+02  1.4401624E+02  3.7071921E+02  1.4401626E+02  1.4399953E+02  2.4334586E+01  1.4903728E+00  6.0000044E-10  0.0000000E+00  1.3765407E+00
  0.0000000E+00  4.0000034E-10  3.0334858E+00  2.5486005E+01  1.4308329E+02  1.4311404E+02  4.6683637E+02  1.4311406E+02  1.4308335E+02  2.5486005E+01  3.0334858E+00  4.0000040E-10  0.0000000E+00  1.5948874E+00
  0.0000000E+00  7.0000153E-10  4.8159368E+00  2.6911830E+01  1.4256729E+02  1.4261156E+02  5.7255773E+02  1.4261158E+02  1.4256736E+02  2.6911830E+01  4.8159368E+00  7.0000105E-10  0.0000000E+00  1.8135331E+00
  0.0000000E+00  7.0000181E-10  6.8456455E+00  2.8614297E+01  1.4242764E+02  1.4248511E+02  6.8876450E+02  1.4248512E+02  1.4242771E+02  2.8614297E+01  6.8456455E+00  4.0000202E-10  0.0000000E+00  2.0324791E+00
  0.0000000E+00  8.0000000E-10  9.1299386E+00  3.0596731E+01  1.4266924E+02  1.4273947E+02  8.1639310E+02  1.4273949E+02  1.4266931E+02  3.0596731E+01  9.1299386E+00  9.0000104E-10  0.0000000E+00  2.2517266E+00
  0.0000000E+00  4.0000041E-10  1.1677663E+01  3.2865455E+01  1.4325894E+02  1.4334172E+02  9.5688300E+02  1.4334173E+02  1.4325902E+02  3.2865455E+01  1.1677663E+01  6.0000252E-10  0.0000000E+00  2.4712769E+00
  0.0000000E+00  2.1384260E+00  1.4497709E+01  3.5427061E+01  1.4420582E+02  1.4430072E+02  1.1072149E+03  1.4430073E+02  1.4420590E+02  3.5427062E+01  1.4497709E+01  2.1384260E+00  0.0000000E+00  2.6910489E+00
  0.0000000E+00  5.3864402E+00  1.7606729E+01  3.8289049E+01  1.4552382E+02  1.4563068E+02  1.2697490E+03  1.4563070E+02  1.4552391E+02  3.8289049E+01  1.7606729E+01  5.3864402E+00  0.0000000E+00  2.9111212E+00
  0.0000000E+00  8.9234759E+00  2.1016372E+01  4.1460702E+01  1.4718895E+02  1.4730660E+02  1.4461115E+03  1.4730663E+02  1.4718906E+02  4.1460702E+01  2.1016372E+01  8.9234759E+00  0.0000000E+00  3.1315336E+00
  0.0000000E+00  1.2760208E+01  2.4732264E+01  4.4950796E+01  1.4928473E+02  1.4941360E+02  1.6366280E+03  1.4941363E+02  1.4928484E+02  4.4950796E+01  2.4732264E+01  1.2760208E+01  0.0000000E+00  3.3522876E+00
  0.0000000E+00  1.6906347E+01  2.8763532E+01  4.8767386E+01  1.5175961E+02  1.5189972E+02  1.8415448E+03  1.5189975E+02  1.5175972E+02  4.8767386E+01  2.8763532E+01  1.6906347E+01  0.0000000E+00  3.5733849E+00
  0.0000000E+00  2.1370620E+01  3.3118395E+01  5.2917748E+01  1.5459395E+02  1.5474504E+02  2.0610397E+03  1.5474507E+02  1.5459406E+02  5.2917748E+01  3.3118395E+01  2.1370620E+01  0.0000000E+00  3.7948270E+00
  0.0000000E+00  2.6160789E+01  3.7804165E+01  5.7408365E+01  1.5779143E+02  1.5795338E+02  2.2952310E+03  1.5795342E+02  1.5779154E+02  5.7408365E+01  3.7804165E+01  2.6160789E+01  0.0000000E+00  4.0166155E+00
  0.0000000E+00  3.1283678E+01  4.2827270E+01  6.2244929E+01  1.6137801E+02  1.6155023E+02  2.5441852E+03  1.6155026E+02  1.6137813E+02  6.2244929E+01  4.2827270E+01  3.1283678E+01  0.0000000E+00  4.2387518E+00
  0.0000000E+00  3.6745222E+01  4.8193289E+01  6.7432367E+01  1.6536575E+02  1.6554729E+02  2.8079246E+03  1.6554732E+02  1.6536586E+02  6.7432367E+01  4.8193289E+01  3.6745222E+01  0.0000000E+00  4.4612378E+00
  0.0000000E+00  4.2550513E+01  5.3906999E+01  7.2974869E+01  1.6977086E+02  1.6996270E+02  3.0864330E+03  1.6996273E+02  1.6977098E+02  7.2974870E+01  5.3906999E+01  4.2550513E+01  0.0000000E+00  4.6840748E+00
  0.0000000E+00  4.8703853E+01  5.9972419E+01  7.8875934E+01  1.7463169E+02  1.7483059E+02  3.3796613E+03  1.7483062E+02  1.7463181E+02  7.8875934E+01  5.9972419E+01  4.8703853E+01  0.0000000E+00  4.9072647E+00
  0.0000000E+00  5.5208812E+01  6.6392865E+01  8.5138404E+01  1.7998643E+02  1.8019428E+02  3.6875322E+03  1.8019431E+02  1.7998656E+02  8.5138404E+01  6.6392865E+01  5.5208812E+01  0.0000000E+00  5.1308089E+00
  0.0000000E+00  6.2068282E+01  7.3171000E+01  9.1764517E+01  1.8574667E+02  1.8596419E+02  4.0099440E+03  1.8596423E+02  1.8574680E+02  9.1764517E+01  7.3171000E+01  6.2068282E+01  0.0000000E+00  5.3547091E+00
  0.0000000E+00  6.9284527E+01  8.0308878E+01  9.8755941E+01  1.9188957E+02  1.9211665E+02  4.3467748E+03  1.9211669E+02  1.9188970E+02  9.8755942E+01  8.0308878E+01  6.9284527E+01  0.0000000E+00  5.5789671E+00
  0.0000000E+00  7.6859236E+01  8.7808000E+01  1.0611383E+02  1.9841468E+02  1.9865120E+02  4.6978849E+03  1.9865124E+02  1.9841482E+02  1.0611383E+02  8.7808000E+01  7.6859236E+01  0.0000000E+00  5.8035844E+00
  0.0000000E+00  8.4793573E+01  9.5669358E+01  1.1383886E+02  2.0532124E+02  2.0556707E+02  5.0631203E+03  2.0556712E+02  2.0532138E+02  1.1383886E+02  9.5669358E+01  8.4793573E+01  0.0000000E+00  6.0285627E+00
  0.0000000E+00  9.3088220E+01  1.0389348E+02  1.2193125E+02  2.1260816E+02  2.1286320E+02  5.4423143E+03  2.1286325E+02  2.1260831E+02  1.2193125E+02  1.0389348E+02  9.3088220E+01  0.0000000E+00  6.2539038E+00
  0.0000000E+00  1.0174342E+02  1.1248045E+02  1.3039085E+02  2.2027409E+02  2.2053823E+02  5.8352903E+03  2.2053828E+02  2.2027424E+02  1.3039085E+02  1.1248045E+02  1.0174342E+02  0.0000000E+00  6.4796093E+00
  0.0000000E+00  1.1075901E+02  1.2143000E+02  1.3921711E+02  2.2831741E+02  2.2859055E+02  6.2418630E+03  2.2859060E+02  2.2831756E+02  1.3921711E+02  1.2143000E+02  1.1075901E+02  0.0000000E+00  6.7056808E+00
  5.2713629E+00  1.2013465E+02  1.3074165E+02  1.4840979E+02  2.3673672E+02  2.3701876E+02  6.6545988E+03  2.3701881E+02  2.3673687E+02  1.4840979E+02  1.3074165E+02  1.2013465E+02  5.2713629E+00  6.9313906E+00
  1.5614853E+01  1.2986959E+02  1.4041445E+02  1.5796752E+02  2.4552891E+02  2.4581975E+02  7.0741819E+03  2.4581979E+02  2.4552906E+02  1.5796752E+02  1.4041445E+02  1.2986959E+02  1.5614853E+01  7.1569143E+00
  2.6301521E+01  1.3996424E+02  1.5044867E+02  1.6788995E+02  2.5469855E+02  2.5499229E+02  7.5071410E+03  2.5499234E+02  2.5469870E+02  1.6788995E+02  1.5044867E+02  1.3996424E+02  2.6301521E+01  7.3829556E+00
  3.7332659E+01  1.5041911E+02  1.6084476E+02  1.7817736E+02  2.6434682E+02  2.6464744E+02  7.9533179E+03  2.6464749E+02  2.6434698E+02  1.7817736E+02  1.6084476E+02  1.5041911E+02  3.7332659E+01  7.6095176E+00
  4.8709182E+01  1.6123437E+02  1.7160280E+02  1.8882970E+02  2.7436886E+02  2.7467780E+02  8.4125498E+03  2.7467785E+02  2.7436902E+02  1.8882970E+02  1.7160280E+02  1.6123437E+02  4.8709182E+01  7.8366039E+00
  6.0431662E+01  1.7240991E+02  1.8272261E+02  1.9984665E+02  2.8476376E+02  2.8508095E+02  8.8846699E+03  2.8508101E+02  2.8476392E+02  1.9984665E+02  1.8272261E+02  1.7240991E+02  6.0431662E+01  8.0642177E+00
  7.2500349E+01  1.8394535E+02  1.9420373E+02  2.1122764E+02  2.9553043E+02  2.9585579E+02  9.3695081E+03  2.9585585E+02  2.9553060E+02  2.1122764E+02  1.9420373E+02  1.8394535E+02  7.2500349E+01  8.2923623E+00
  8.4915207E+01  1.9584003E+02  2.0604547E+02  2.2297184E+02  3.0666756E+02  3.0700101E+02  9.8668917E+03  3.0700106E+02  3.0666773E+02  2.2297184E+02  2.0604547E+02  1.9584003E+02  8.4915207E+01  8.5210413E+00
  9.7675931E+01  2.0809310E+02  2.1824690E+02  2.3507822E+02  3.1817366E+02  3.1851512E+02  1.0376646E+04  3.1851518E+02  3.1817383E+02  2.3507822E+02  2.1824690E+02  2.0809310E+02  9.7675931E+01  8.7502578E+00
  1.1078197E+02  2.2070348E+02  2.3080689E+02  2.4754554E+02  3.3019544E+02  3.3053040E+02  1.0898596E+04  3.3053043E+02  3.3019563E+02  2.4754554E+02  2.3080689E+02  2.2070348E+02  1.1078197E+02  8.9800155E+00
  1.2423255E+02  2.3366990E+02  2.4372410E+02  2.6037239E+02  3.4260667E+02  3.4294914E+02  1.1432563E+04  3.4294918E+02  3.4260686E+02  2.6037239E+02  2.4372410E+02  2.3366990E+02  1.2423255E+02  9.2103179E+00
  1.3802669E+02  2.4699091E+02  2.5699705E+02  2.7355717E+02  3.5538486E+02  3.5573477E+02  1.1978370E+04  3.5573481E+02  3.5538506E+02  2.7355717E+02  2.5699705E+02  2.4699091E+02  1.3802669E+02  9.4411684E+00
  1.5216323E+02  2.6066491E+02  2.7062408E+02  2.8709815E+02  3.6852791E+02  3.6888520E+02  1.2535840E+04  3.6888523E+02  3.6852811E+02  2.8709815E+02  2.7062408E+02  2.6066491E+02  1.5216323E+02  9.6725708E+00
  1.6664083E+02  2.7469014E+02  2.8460340E+02  3.0099344E+02  3.8203361E+02  3.8239821E+02  1.3104796E+04  3.8239824E+02  3.8203382E+02  3.0099344E+02  2.8460340E+02  2.7469014E+02  1.6664083E+02  9.9045285E+00
  1.8145800E+02  2.8906472E+02  2.9893309E+02  3.1524106E+02  3.9589965E+02  3.9627148E+02  1.3685059E+04  3.9627152E+02  3.9589985E+02  3.1524106E+02  2.9893309E+02  2.8906472E+02  1.8145800E+02  1.0137045E+01
  1.9661309E+02  3.0378664E+02  3.1361109E+02  3.2983889E+02  4.1012359E+02  4.1050260E+02  1.4276453E+04  4.1050264E+02  4.1012380E+02  3.2983889E+02  3.1361109E+02  3.0378664E+02  1.9661309E+02  1.0370124E+01
  2.1210436E+02  3.1885379E+02  3.2863526E+02  3.4478470E+02  4.2470295E+02  4.2508907E+02  1.4878804E+04  4.2508911E+02  4.2470315E+02  3.4478470E+02  3.2863526E+02  3.1885379E+02  2.1210436E+02  1.0603770E+01
  2.2792991E+02  3.3426396E+02  3.4400336E+02  3.6007618E+02  4.3963513E+02  4.4002831E+02  1.5491936E+04  4.4002834E+02  4.3963534E+02  3.6007618E+02  3.4400336E+02  3.3426396E+02  2.2792991E+02  1.0837986E+01
  2.4408776E+02  3.5001485E+02  3.5971304E+02  3.7571095E+02  4.5491750E+02  4.5531766E+02  1.6115677E+04  4.5531770E+02  4.5491771E+02  3.7571095E+02  3.5971304E+02  3.5001485E+02  2.4408776E+02  1.1072776E+01
  2.6057583E+02  3.6610408E+02  3.7576189E+02  3.9168652E+02  4.7054733E+02  4.7095442E+02  1.6749856E+04  4.7095446E+02  4.7054755E+02  3.9168652E+02  3.7576189E+02  3.6610408E+02  2.6057583E+02  1.1308144E+01
  2.7739196E+02  3.8252919E+02  3.9214745E+02  4.0800037E+02  4.8652187E+02  4.8693583E+02  1.7394301E+04  4.8693586E+02  4.8652209E+02  4.0800037E+02  3.9214745E+02  3.8252919E+02  2.7739196E+02  1.1544093E+01
  2.9453388E+02  3.9928767E+02  4.0886715E+02  4.2464989E+02  5.0283830E+02  5.0325906E+02  1.8048846E+04  5.0325910E+02  5.0283852E+02  4.2464989E+02  4.0886715E+02  3.9928767E+02  2.9453388E+02  1.1780628E+01
  0.0000000E+00  4.0000113E-10  3.0000172E-10  2.6775243E+01  1.3492318E+02  1.3489876E+02  1.7389734E+02  1.3489877E+02  1.3492324E+02  2.6775242E+01  5.0000000E-10  5.0000000E-10  0.0000000E+00  9.6333075E-01
  0.0000000E+00  6.0000000E-10  3.0000063E-10  2.2483858E+01  1.2884098E+02  1.2883013E+02  2.0064554E+02  1.2883014E+02  1.2884104E+02  2.2483858E+01  2.0000050E-10  6.0000000E-10  0.0000000E+00  9.6223179E-01
  0.0000000E+00  5.0000015E-10  1.5494242E-01  1.9746915E+01  1.2423978E+02  1.2424176E+02  2.4242253E+02  1.2424178E+02  1.2423985E+02  1.9746915E+01  1.5494242E-01  6.0000000E-10  0.0000000E+00  9.9106129E-01
  0.0000000E+00  4.0000143E-10  1.2618165E+00  2.0485134E+01  1.2301762E+02  1.2303200E+02  3.1647698E+02  1.2303202E+02  1.2301770E+02  2.0485134E+01  1.2618165E+00  5.0000028E-10  0.0000000E+00  1.1708341E+00
  0.0000000E+00  4.0000133E-10  2.5694137E+00  2.1455397E+01  1.2222159E+02  1.2224796E+02  3.9810428E+02  1.2224798E+02  1.2222167E+02  2.1455397E+01  2.5694137E+00  4.0000128E-10  0.0000000E+00  1.3508520E+00
  0.0000000E+00  3.0000071E-10  4.0842822E+00  2.2663790E+01  1.2176899E+02  1.2180706E+02  4.8851421E+02  1.2180709E+02  1.2176908E+02  2.2663790E+01  4.0842822E+00  4.0000071E-10  0.0000000E+00  1.5311160E+00
  0.0000000E+00  3.0000277E-10  5.8145035E+00  2.4112975E+01  1.2162903E+02  1.2167849E+02  5.8847919E+02  1.2167852E+02  1.2162911E+02  2.4112975E+01  5.8145035E+00  4.0000042E-10  0.0000000E+00  1.7116272E+00
  0.0000000E+00  5.0000111E-10  7.7682082E+00  2.5807654E+01  1.2182688E+02  1.2188743E+02  6.9911820E+02  1.2188745E+02  1.2182697E+02  2.5807654E+01  7.7682082E+00  5.0000118E-10  0.0000000E+00  1.8923865E+00
  0.0000000E+00  7.0000202E-10  9.9540953E+00  2.7754351E+01  1.2231787E+02  1.2238932E+02  8.2103025E+02  1.2238934E+02  1.2231797E+02  2.7754351E+01  9.9540953E+00  7.0000000E-10  0.0000000E+00  2.0733951E+00
  0.0000000E+00  1.8408958E+00  1.2383270E+01  2.9959465E+01  1.2313329E+02  1.2321525E+02  9.5185368E+02  1.2321527E+02  1.2313340E+02  2.9959465E+01  1.2383270E+01  1.8408958E+00  0.0000000E+00  2.2545848E+00
  0.0000000E+00  4.6428159E+00  1.5070380E+01  3.2429925E+01  1.2426215E+02  1.2435459E+02  1.0935724E+03  1.2435461E+02  1.2426226E+02  3.2429925E+01  1.5070380E+01  4.6428159E+00  0.0000000E+00  2.4360211E+00
  0.0000000E+00  7.7005668E+00  1.8019513E+01  3.5173982E+01  1.2574143E+02  1.2584333E+02  1.2475397E+03  1.2584336E+02  1.2574156E+02  3.5173982E+01  1.8019513E+01  7.7005668E+00  0.0000000E+00  2.6177375E+00
  0.0000000E+00  1.1023414E+01  2.1239361E+01  3.8199268E+01  1.2756958E+02  1.2768131E+02  1.4139913E+03  1.2768135E+02  1.2756971E+02  3.8199268E+01  2.1239361E+01  1.1023414E+01  0.0000000E+00  2.7997351E+00
  0.0000000E+00  1.4619643E+01  2.4737709E+01  4.1512643E+01  1.2971157E+02  1.2983317E+02  1.5930940E+03  1.2983321E+02  1.2971170E+02  4.1512643E+01  2.4737709E+01  1.4619643E+01  0.0000000E+00  2.9820153E+00
  0.0000000E+00  1.8496575E+01  2.8521441E+01  4.5120182E+01  1.3216731E+02  1.3229856E+02  1.7849565E+03  1.3229860E+02  1.3216745E+02  4.5120182E+01  2.8521441E+01  1.8496575E+01  0.0000000E+00  3.1645793E+00
  0.0000000E+00  2.2660606E+01  3.2596564E+01  4.9027176E+01  1.3496288E+02  1.3510336E+02  1.9896368E+03  1.3510340E+02  1.3496302E+02  4.9027177E+01  3.2596564E+01  2.2660606E+01  0.0000000E+00  3.3474284E+00
  0.0000000E+00  2.7117248E+01  3.6968250E+01  5.3238165E+01  1.3811030E+02  1.3825928E+02  2.2071499E+03  1.3825932E+02  1.3811044E+02  5.3238165E+01  3.6968250E+01  2.7117248E+01  0.0000000E+00  3.5305640E+00
  0.0000000E+00  3.1871188E+01  4.1640883E+01  5.7756968E+01  1.4163568E+02  1.4179333E+02  2.4374742E+03  1.4179338E+02  1.4163582E+02  5.7756968E+01  4.1640883E+01  3.1871188E+01  0.0000000E+00  3.7139875E+00
  0.0000000E+00  3.6926346E+01  4.6618108E+01  6.2586728E+01  1.4551558E+02  1.4568180E+02  2.6805565E+03  1.4568185E+02  1.4551573E+02  6.2586728E+01  4.6618108E+01  3.6926346E+01  0.0000000E+00  3.8977000E+00
  0.0000000E+00  4.2285925E+01  5.1902889E+01  6.7729957E+01  1.4982960E+02  1.5000246E+02  2.9363172E+03  1.5000250E+02  1.4982976E+02  6.7729957E+01  5.1902889E+01  4.2285925E+01  0.0000000E+00  4.0817029E+00
  0.0000000E+00  4.7952478E+01  5.7497558E+01  7.3188580E+01  1.5451688E+02  1.5469843E+02  3.2046542E+03  1.5469849E+02  1.5451704E+02  7.3188580E+01  5.7497558E+01  4.7952478E+01  0.0000000E+00  4.2659975E+00
  0.0000000E+00  5.3927955E+01  6.3403868E+01  7.8963985E+01  1.5953713E+02  1.5972729E+02  3.4854465E+03  1.5972734E+02  1.5953729E+02  7.8963985E+01  6.3403868E+01  5.3927955E+01  0.0000000E+00  4.4505854E+00
  0.0000000E+00  6.0213759E+01  6.9623044E+01  8.5057062E+01  1.6488977E+02  1.6508844E+02  3.7785572E+03  1.6508849E+02  1.6488994E+02  8.5057062E+01  6.9623044E+01  6.0213759E+01  0.0000000E+00  4.6354676E+00
  0.0000000E+00  6.6810791E+01  7.6155825E+01  9.1468250E+01  1.7057393E+02  1.7078100E+02  4.0838362E+03  1.7078105E+02  1.7057409E+02  9.1468250E+01  7.6155825E+01  6.6810791E+01  0.0000000E+00  4.8206457E+00
  0.0000000E+00  7.3719503E+01  8.3002515E+01  9.8197577E+01  1.7658841E+02  1.7680380E+02  4.4011226E+03  1.7680385E+02  1.7658858E+02  9.8197577E+01  8.3002515E+01  7.3719503E+01  0.0000000E+00  5.0061211E+00
  0.0000000E+00  8.0939934E+01  9.0163019E+01  1.0524470E+02  1.8293178E+02  1.8315540E+02  4.7302467E+03  1.8315545E+02  1.8293196E+02  1.0524470E+02  9.0163019E+01  8.0939934E+01  0.0000000E+00  5.1918950E+00
  0.0000000E+00  8.8471751E+01  9.7636880E+01  1.1260892E+02  1.8960237E+02  1.8983412E+02  5.0710315E+03  1.8983418E+02  1.8960255E+02  1.1260892E+02  9.7636880E+01  8.8471751E+01  0.0000000E+00  5.3779690E+00
  0.0000000E+00  9.6314289E+01  1.0542332E+02  1.2028926E+02  1.9659829E+02  1.9683809E+02  5.4232944E+03  1.9683815E+02  1.9659847E+02  1.2028926E+02  1.0542332E+02  9.6314289E+01  0.0000000E+00  5.5643444E+00
  4.5815066E+00  1.0446673E+02  1.1352142E+02  1.2828497E+02  2.0391780E+02  2.0416558E+02  5.7805569E+03  2.0416564E+02  2.0391798E+02  1.2828497E+02  1.1352142E+02  1.0446673E+02  4.5815066E+00  5.7504172E+00
  1.3568678E+01  1.1292792E+02  1.2192984E+02  1.3659434E+02  2.1158770E+02  2.1183757E+02  6.1433940E+03  2.1183763E+02  2.1158788E+02  1.3659434E+02  1.2192984E+02  1.1292792E+02  1.3568678E+01  5.9363325E+00
  2.2850170E+01  1.2169771E+02  1.3064834E+02  1.4521662E+02  2.1964159E+02  2.1989911E+02  6.5174591E+03  2.1989917E+02  2.1964178E+02  1.4521662E+02  1.3064834E+02  1.2169771E+02  2.2850170E+01  6.1226741E+00
  3.2426610E+01  1.3077606E+02  1.3967678E+02  1.5415153E+02  2.2801632E+02  2.2828142E+02  6.9025972E+03  2.2828149E+02  2.2801651E+02  1.5415153E+02  1.3967678E+02  1.3077606E+02  3.2426610E+01  6.3094448E+00
  4.2298310E+01  1.4016262E+02  1.4901479E+02  1.6339857E+02  2.3671087E+02  2.3698349E+02  7.2986505E+03  2.3698355E+02  2.3671107E+02  1.6339857E+02  1.4901479E+02  1.4016262E+02  4.2298310E+01  6.4966472E+00
  5.2465298E+01  1.4985685E+02  1.5866173E+02  1.7295701E+02  2.4572402E+02  2.4600408E+02  7.7054589E+03  2.4600415E+02  2.4572422E+02  1.7295701E+02  1.5866173E+02  1.4985685E+02  5.2465298E+01  6.6842842E+00
  6.2927338E+01  1.5985795E+02  1.6861676E+02  1.8282587E+02  2.5505438E+02  2.5534182E+02  8.1228606E+03  2.5534189E+02  2.5505458E+02  1.8282587E+02  1.6861676E+02  1.5985795E+02  6.2927338E+01  6.8723583E+00
  7.3683958E+01  1.7016494E+02  1.7887883E+02  1.9300402E+02  2.6475786E+02  2.6504070E+02  8.5506922E+03  2.6504074E+02  2.6475809E+02  1.9300402E+02  1.7887883E+02  1.7016494E+02  7.3683958E+01  7.0608725E+00
  8.4734468E+01  1.8077663E+02  1.8944672E+02  2.0349013E+02  2.7486071E+02  2.7515049E+02  8.9887902E+03  2.7515054E+02  2.7486094E+02  2.0349013E+02  1.8944672E+02  1.8077663E+02  8.4734468E+01  7.2498295E+00
  9.6077979E+01  1.9169168E+02  2.0031903E+02  2.1428273E+02  2.8527852E+02  2.8557520E+02  9.4369901E+03  2.8557524E+02  2.8527876E+02  2.1428273E+02  2.0031903E+02  1.9169168E+02  9.6077979E+01  7.4392324E+00
  1.0771342E+02  2.0290860E+02  2.1149422E+02  2.2538019E+02  2.9600933E+02  2.9631285E+02  9.8951279E+03  2.9631289E+02  2.9600957E+02  2.2538019E+02  2.1149422E+02  2.0290860E+02  1.0771342E+02  7.6290838E+00
  1.1963957E+02  2.1442574E+02  2.2297062E+02  2.3678075E+02  3.0705106E+02  3.0736135E+02  1.0363040E+04  3.0736140E+02  3.0705130E+02  2.3678075E+02  2.2297062E+02  2.1442574E+02  1.1963957E+02  7.8193868E+00
  1.3185503E+02  2.2624135E+02  2.3474642E+02  2.4848253E+02  3.1840153E+02  3.1871855E+02  1.0840562E+04  3.1871859E+02  3.1840177E+02  2.4848253E+02  2.3474642E+02  2.2624135E+02  1.3185503E+02  8.0101442E+00
  1.4435830E+02  2.3835356E+02  2.4681972E+02  2.6048356E+02  3.3005846E+02  3.3038215E+02  1.1327533E+04  3.3038220E+02  3.3005871E+02  2.6048356E+02  2.4681972E+02  2.3835356E+02  1.4435830E+02  8.2013592E+00
  1.5714773E+02  2.5076039E+02  2.5918850E+02  2.7278177E+02  3.4201953E+02  3.4234984E+02  1.1823791E+04  3.4234988E+02  3.4201978E+02  2.7278177E+02  2.5918850E+02  2.5076039E+02  1.5714773E+02  8.3930345E+00
  1.7022160E+02  2.6345978E+02  2.7185067E+02  2.8537499E+02  3.5428231E+02  3.5461917E+02  1.2329176E+04  3.5461922E+02  3.5428256E+02  2.8537499E+02  2.7185067E+02  2.6345978E+02  1.7022160E+02  8.5851735E+00
  1.8357804E+02  2.7644957E+02  2.8480405E+02  2.9826098E+02  3.6684431E+02  3.6718769E+02  1.2843530E+04  3.6718774E+02  3.6684456E+02  2.9826098E+02  2.8480405E+02  2.7644957E+02  1.8357804E+02  8.7777788E+00
  1.9721513E+02  2.8972756E+02  2.9804638E+02  3.1143744E+02  3.7970300E+02  3.8005285E+02  1.3366696E+04  3.8005290E+02  3.7970326E+02  3.1143744E+02  2.9804638E+02  2.8972756E+02  1.9721513E+02  8.9708539E+00
  2.1113085E+02  3.0329145E+02  3.1157537E+02  3.2490201E+02  3.9285581E+02  3.9321207E+02  1.3898518E+04  3.9321212E+02  3.9285607E+02  3.2490201E+02  3.1157537E+02  3.0329145E+02  2.1113085E+02  9.1644017E+00
  2.2532313E+02  3.1713891E+02  3.2538864E+02  3.3865226E+02  4.0630011E+02  4.0666272E+02  1.4438842E+04  4.0666277E+02  4.0630037E+02  3.3865226E+02  3.2538864E+02  3.1713891E+02  2.2532313E+02  9.3584256E+00
  2.3978981E+02  3.3126755E+02  3.3948377E+02  3.5268575E+02  4.2003323E+02  4.2040216E+02  1.4987518E+04  4.2040221E+02  4.2003350E+02  3.5268575E+02  3.3948377E+02  3.3126755E+02  2.3978981E+02  9.5529285E+00
  2.5452871E+02  3.4567493E+02  3.5385832E+02  3.6699996E+02  4.3405249E+02  4.3442769E+02  1.5544396E+04  4.3442774E+02  4.3405276E+02  3.6699996E+02  3.5385832E+02  3.4567493E+02  2.5452871E+02  9.7479138E+00
  0.0000000E+00  3.0000036E-10  2.0000175E-10  2.1963105E+01  1.1501939E+02  1.1499842E+02  1.4896348E+02  1.1499844E+02  1.1501947E+02  2.1963104E+01  2.0000093E-10  3.0000102E-10  0.0000000E+00  8.2460049E-01
  0.0000000E+00  2.0000000E-10  3.0000018E-10  1.8605415E+01  1.1010361E+02  1.1009416E+02  1.7102236E+02  1.1009418E+02  1.1010368E+02  1.8605414E+01  4.0000000E-10  3.0000000E-10  0.0000000E+00  8.2379409E-01
  0.0000000E+00  5.0000015E-10  1.3037588E-01  1.6568226E+01  1.0643767E+02  1.0643939E+02  2.0627947E+02  1.0643941E+02  1.0643775E+02  1.6568226E+01  1.3037588E-01  3.0000000E-10  0.0000000E+00  8.4768904E-01
  0.0000000E+00  1.0000206E-10  1.0624528E+00  1.7172010E+01  1.0535009E+02  1.0536264E+02  2.6863537E+02  1.0536267E+02  1.0535018E+02  1.7172010E+01  1.0624528E+00  4.0000025E-10  0.0000000E+00  9.9507866E-01
  0.0000000E+00  4.0000037E-10  2.1670908E+00  1.7983105E+01  1.0462162E+02  1.0464473E+02  3.3809685E+02  1.0464476E+02  1.0462172E+02  1.7983105E+01  2.1670908E+00  3.0000075E-10  0.0000000E+00  1.1426688E+00
  0.0000000E+00  2.0000192E-10  3.4528020E+00  1.9004010E+01  1.0418278E+02  1.0421620E+02  4.1561660E+02  1.0421623E+02  1.0418288E+02  1.9004010E+01  3.4528020E+00  3.0000100E-10  0.0000000E+00  1.2904602E+00
  0.0000000E+00  3.0000140E-10  4.9274167E+00  2.0236033E+01  1.0402306E+02  1.0406650E+02  5.0185937E+02  1.0406653E+02  1.0402317E+02  2.0236033E+01  4.9274167E+00  4.0000028E-10  0.0000000E+00  1.4384538E+00
  0.0000000E+00  5.0000000E-10  6.5994083E+00  2.1684699E+01  1.0415102E+02  1.0420434E+02  5.9806370E+02  1.0420437E+02  1.0415113E+02  2.1684699E+01  6.5994083E+00  4.0000072E-10  0.0000000E+00  1.5866504E+00
  0.0000000E+00  4.0000143E-10  8.4771012E+00  2.3356381E+01  1.0454151E+02  1.0460446E+02  7.0414554E+02  1.0460449E+02  1.0454163E+02  2.3356381E+01  8.4771012E+00  4.0000225E-10  0.0000000E+00  1.7350508E+00
  0.0000000E+00  1.5866895E+00  1.0576362E+01  2.5257043E+01  1.0522063E+02  1.0529301E+02  8.1828538E+02  1.0529303E+02  1.0522075E+02  2.5257043E+01  1.0576362E+01  1.5866895E+00  0.0000000E+00  1.8835981E+00
  0.0000000E+00  4.0072199E+00  1.2899616E+01  2.7392896E+01  1.0619005E+02  1.0627122E+02  9.4214106E+02  1.0627127E+02  1.0619020E+02  2.7392895E+01  1.2899616E+01  4.0072199E+00  0.0000000E+00  2.0323465E+00
  0.0000000E+00  6.6547633E+00  1.5455158E+01  2.9771114E+01  1.0747416E+02  1.0756428E+02  1.0768308E+03  1.0756432E+02  1.0747431E+02  2.9771114E+01  1.5455158E+01  6.6547633E+00  0.0000000E+00  2.1813240E+00
  0.0000000E+00  9.5372259E+00  1.8250404E+01  3.2398192E+01  1.0904243E+02  1.0914146E+02  1.2225131E+03  1.0914151E+02  1.0904258E+02  3.2398192E+01  1.8250404E+01  9.5372259E+00  0.0000000E+00  2.3305317E+00
  0.0000000E+00  1.2661550E+01  2.1291869E+01  3.5279838E+01  1.1088156E+02  1.1098945E+02  1.3792884E+03  1.1098950E+02  1.1088173E+02  3.5279838E+01  2.1291869E+01  1.2661550E+01  0.0000000E+00  2.4799706E+00
  0.0000000E+00  1.6033757E+01  2.4585199E+01  3.8420991E+01  1.1300458E+02  1.1312087E+02  1.5472078E+03  1.1312092E+02  1.1300475E+02  3.8420991E+01  2.4585199E+01  1.6033757E+01  0.0000000E+00  2.6296416E+00
  0.0000000E+00  1.9658993E+01  2.8135211E+01  4.1825846E+01  1.1544911E+02  1.1557331E+02  1.7262806E+03  1.1557336E+02  1.1544928E+02  4.1825846E+01  2.8135211E+01  1.9658993E+01  0.0000000E+00  2.7795460E+00
  0.0000000E+00  2.3541590E+01  3.1945945E+01  4.5497890E+01  1.1824130E+02  1.1837358E+02  1.9164806E+03  1.1837363E+02  1.1824148E+02  4.5497890E+01  3.1945945E+01  2.3541590E+01  0.0000000E+00  2.9296848E+00
  0.0000000E+00  2.7685129E+01  3.6020723E+01  4.9439955E+01  1.2131732E+02  1.2145790E+02  2.1177518E+03  1.2145796E+02  1.2131750E+02  4.9439955E+01  3.6020723E+01  2.7685129E+01  0.0000000E+00  3.0800590E+00
  0.0000000E+00  3.2092498E+01  4.0362200E+01  5.3654256E+01  1.2475868E+02  1.2490496E+02  2.3300132E+03  1.2490502E+02  1.2475887E+02  5.3654256E+01  4.0362200E+01  3.2092498E+01  0.0000000E+00  3.2306697E+00
  0.0000000E+00  3.6765951E+01  4.4972423E+01  5.8142446E+01  1.2854455E+02  1.2869880E+02  2.5531627E+03  1.2869886E+02  1.2854474E+02  5.8142446E+01  4.4972423E+01  3.6765951E+01  0.0000000E+00  3.3815181E+00
  0.0000000E+00  4.1707163E+01  4.9852883E+01  6.2905661E+01  1.3262115E+02  1.3278328E+02  2.7870810E+03  1.3278335E+02  1.3262135E+02  6.2905661E+01  4.9852883E+01  4.1707163E+01  0.0000000E+00  3.5326051E+00
  0.0000000E+00  4.6917290E+01  5.5004564E+01  6.7944567E+01  1.3698777E+02  1.3715770E+02  3.0316344E+03  1.3715776E+02  1.3698797E+02  6.7944567E+01  5.5004564E+01  4.6917290E+01  0.0000000E+00  3.6839319E+00
  0.0000000E+00  5.2397010E+01  6.0427996E+01  7.3259402E+01  1.4164339E+02  1.4182102E+02  3.2866772E+03  1.4182109E+02  1.4164359E+02  7.3259402E+01  6.0427996E+01  5.2397010E+01  0.0000000E+00  3.8354997E+00
  0.0000000E+00  5.8146577E+01  6.6123291E+01  7.8850017E+01  1.4658671E+02  1.4677197E+02  3.5520543E+03  1.4677204E+02  1.4658692E+02  7.8850017E+01  6.6123291E+01  5.8146577E+01  0.0000000E+00  3.9873096E+00
  0.0000000E+00  6.4165860E+01  7.2090195E+01  8.4715915E+01  1.5181622E+02  1.5200902E+02  3.8276029E+03  1.5200909E+02  1.5181643E+02  8.4715915E+01  7.2090195E+01  6.4165860E+01  0.0000000E+00  4.1393626E+00
  0.0000000E+00  7.0454382E+01  7.8328116E+01  9.0856286E+01  1.5733017E+02  1.5753044E+02  4.1131543E+03  1.5753051E+02  1.5733038E+02  9.0856286E+01  7.8328116E+01  7.0454382E+01  0.0000000E+00  4.2916600E+00
  0.0000000E+00  7.7011359E+01  8.4836163E+01  9.7270039E+01  1.6312661E+02  1.6333428E+02  4.4085351E+03  1.6333435E+02  1.6312683E+02  9.7270039E+01  8.4836163E+01  7.7011359E+01  0.0000000E+00  4.4442028E+00
  0.0000000E+00  8.3835727E+01  9.1613179E+01  1.0395583E+02  1.6920345E+02  1.6941843E+02  4.7135687E+03  1.6941851E+02  1.6920367E+02  1.0395583E+02  9.1613179E+01  8.3835727E+01  0.0000000E+00  4.5969922E+00
  3.9828808E+00  9.0926315E+01  9.8657901E+01  1.1091253E+02  1.7562530E+02  1.7584301E+02  5.0226085E+03  1.7584308E+02  1.7562553E+02  1.1091253E+02  9.8657901E+01  9.0926315E+01  3.9828808E+00  4.7495291E+00
  1.1793008E+01  9.8281665E+01  1.0596872E+02  1.1813821E+02  1.8233545E+02  1.8256020E+02  5.3361381E+03  1.8256028E+02  1.8233568E+02  1.1813821E+02  1.0596872E+02  9.8281665E+01  1.1793008E+01  4.9019330E+00
  1.9854982E+01  1.0590120E+02  1.1354498E+02  1.2563177E+02  1.8932143E+02  1.8955315E+02  5.6590553E+03  1.8955323E+02  1.8932166E+02  1.2563177E+02  1.1354498E+02  1.0590120E+02  1.9854982E+01  5.0546859E+00
  2.8168906E+01  1.1378443E+02  1.2138611E+02  1.3339256E+02  1.9658209E+02  1.9682074E+02  5.9912111E+03  1.9682081E+02  1.9658232E+02  1.3339256E+02  1.2138611E+02  1.1378443E+02  2.8168906E+01  5.2077900E+00
  3.6734628E+01  1.2193066E+02  1.2949138E+02  1.4141970E+02  2.0411613E+02  2.0436163E+02  6.3324554E+03  2.0436172E+02  2.0411636E+02  1.4141970E+02  1.2949138E+02  1.2193066E+02  3.6734628E+01  5.3612475E+00
  4.5551758E+01  1.3033898E+02  1.3785983E+02  1.4971214E+02  2.1195673E+02  2.1219943E+02  6.6826368E+03  2.1219948E+02  2.1195700E+02  1.4971214E+02  1.3785983E+02  1.3033898E+02  4.5551758E+01  5.5150607E+00
  5.4619694E+01  1.3900833E+02  1.4649032E+02  1.5826867E+02  2.2015111E+02  2.2040031E+02  7.0416034E+03  2.2040036E+02  2.2015139E+02  1.5826867E+02  1.4649032E+02  1.3900833E+02  5.4619694E+01  5.6692320E+00
  6.3937643E+01  1.4793745E+02  1.5538157E+02  1.6708790E+02  2.2861646E+02  2.2887211E+02  7.4092031E+03  2.2887216E+02  2.2861675E+02  1.6708790E+02  1.5538157E+02  1.4793745E+02  6.3937643E+01  5.8237635E+00
  7.3504637E+01  1.5712496E+02  1.6453215E+02  1.7616832E+02  2.3735093E+02  2.3761296E+02  7.7852841E+03  2.3761301E+02  2.3735121E+02  1.7616832E+02  1.6453215E+02  1.5712496E+02  7.3504637E+01  5.9786575E+00
  8.3319549E+01  1.6656934E+02  1.7394050E+02  1.8550829E+02  2.4635254E+02  2.4662091E+02  8.1696950E+03  2.4662097E+02  2.4635283E+02  1.8550829E+02  1.7394050E+02  1.6656934E+02  8.3319549E+01  6.1339165E+00
  9.3381111E+01  1.7626895E+02  1.8360495E+02  1.9510607E+02  2.5561926E+02  2.5589392E+02  8.5622853E+03  2.5589397E+02  2.5561955E+02  1.9510607E+02  1.8360495E+02  1.7626895E+02  9.3381111E+01  6.2895428E+00
  1.0368793E+02  1.8622205E+02  1.9352371E+02  2.0495980E+02  2.6514895E+02  2.6542984E+02  8.9629053E+03  2.6542990E+02  2.6514924E+02  2.0495980E+02  1.9352371E+02  1.8622205E+02  1.0368793E+02  6.4455386E+00
  1.1423849E+02  1.9642679E+02  2.0369490E+02  2.1506755E+02  2.7493939E+02  2.7522648E+02  9.3714065E+03  2.7522654E+02  2.7493969E+02  2.1506755E+02  2.0369490E+02  1.9642679E+02  1.1423849E+02  6.6019066E+00
  1.2503117E+02  2.0688125E+02  2.1411658E+02  2.2542730E+02  2.8498833E+02  2.8528156E+02  9.7876421E+03  2.8528162E+02  2.8498863E+02  2.2542730E+02  2.1411658E+02  2.0688125E+02  1.2503117E+02  6.7586492E+00
  1.3606428E+02  2.1758344E+02  2.2478672E+02  2.3603696E+02  2.9529343E+02  2.9559276E+02  1.0211467E+04  2.9559282E+02  2.9529374E+02  2.3603696E+02  2.2478672E+02  2.1758344E+02  1.3606428E+02  6.9157687E+00
  1.4733603E+02  2.2853129E+02  2.3570322E+02  2.4689439E+02  3.0585233E+02  3.0615771E+02  1.0642736E+04  3.0615776E+02  3.0585263E+02  2.4689439E+02  2.3570322E+02  2.2853129E+02  1.4733603E+02  7.0732675E+00
  1.5891785E+02  2.3972268E+02  2.4686392E+02  2.5799739E+02  3.1666259E+02  3.1697398E+02  1.1081309E+04  3.1697404E+02  3.1666290E+02  2.5799739E+02  2.4686392E+02  2.3972268E+02  1.5891785E+02  7.2311484E+00
  1.7074512E+02  2.5115542E+02  2.5826665E+02  2.6934370E+02  3.2772178E+02  3.2803913E+02  1.1527045E+04  3.2803919E+02  3.2772209E+02  2.6934370E+02  2.5826665E+02  2.5115542E+02  1.7074512E+02  7.3894138E+00
  1.8281148E+02  2.6282731E+02  2.6990914E+02  2.8093104E+02  3.3902740E+02  3.3935067E+02  1.1979806E+04  3.3935073E+02  3.3902772E+02  2.8093104E+02  2.6990914E+02  2.6282731E+02  1.8281148E+02  7.5480661E+00
  1.9511460E+02  2.7473608E+02  2.8178912E+02  2.9275709E+02  3.5057696E+02  3.5090610E+02  1.2444963E+04  3.5090616E+02  3.5057728E+02  2.9275709E+02  2.8178912E+02  2.7473608E+02  1.9511460E+02  7.7071081E+00
  2.0765212E+02  2.8687945E+02  2.9390428E+02  3.0481949E+02  3.6236792E+02  3.6270289E+02  1.2920213E+04  3.6270295E+02  3.6236824E+02  3.0481949E+02  2.9390428E+02  2.8687945E+02  2.0765212E+02  7.8665425E+00
  2.2042168E+02  2.9925510E+02  3.0625229E+02  3.1711587E+02  3.7439774E+02  3.7473850E+02  1.3402005E+04  3.7473857E+02  3.7439807E+02  3.1711587E+02  3.0625229E+02  2.9925510E+02  2.2042168E+02  8.0263718E+00
  0.0000000E+00  3.0000130E-10  1.0000350E-10  1.7428900E+01  9.7813378E+01  9.7794522E+01  1.2574337E+02  9.7794548E+01  9.7813473E+01  1.7428899E+01  2.0000053E-10  4.0000000E-10  0.0000000E+00  7.0570891E-01
  0.0000000E+00  3.0000000E-10  3.0000000E-10  1.5100958E+01  9.4043661E+01  9.4035149E+01  1.4410691E+02  9.4035176E+01  9.4043760E+01  1.5100958E+01  3.0000084E-10  3.0000044E-10  0.0000000E+00  7.0517419E-01
  0.0000000E+00  4.0000000E-10  1.0905992E-01  1.3778992E+01  9.1245918E+01  9.1247471E+01  1.7410328E+02  9.1247502E+01  9.1246024E+01  1.3778992E+01  1.0905992E-01  3.0000123E-10  0.0000000E+00  7.2489355E-01
  0.0000000E+00  3.0000013E-10  8.9078974E-01  1.4282652E+01  9.0216220E+01  9.0227583E+01  2.2671952E+02  9.0227617E+01  9.0216333E+01  1.4282652E+01  8.9078974E-01  2.0000135E-10  0.0000000E+00  8.4476328E-01
  0.0000000E+00  3.0000025E-10  1.8224737E+00  1.4961030E+01  8.9496961E+01  8.9517900E+01  2.8604438E+02  8.9517935E+01  8.9497081E+01  1.4961030E+01  1.8224737E+00  2.0000149E-10  0.0000000E+00  9.6479575E-01
  0.0000000E+00  1.0000223E-10  2.9133449E+00  1.5823322E+01  8.9042111E+01  8.9071788E+01  3.5276569E+02  8.9071777E+01  8.9042187E+01  1.5823322E+01  2.9133449E+00  3.0000000E-10  0.0000000E+00  1.0849917E+00
  0.0000000E+00  2.0000168E-10  4.1712975E+00  1.6872016E+01  8.8851126E+01  8.8889789E+01  4.2767253E+02  8.8889773E+01  8.8851213E+01  1.6872016E+01  4.1712975E+00  3.0000179E-10  0.0000000E+00  1.2053517E+00
  0.0000000E+00  2.0000162E-10  5.6045500E+00  1.8113013E+01  8.8902059E+01  8.8949576E+01  5.1140077E+02  8.8949558E+01  8.8902152E+01  1.8113013E+01  5.6045500E+00  4.0000023E-10  0.0000000E+00  1.3258764E+00
  0.0000000E+00  2.0000086E-10  7.2251589E+00  1.9552268E+01  8.9189443E+01  8.9245592E+01  6.0399577E+02  8.9245574E+01  8.9189541E+01  1.9552268E+01  7.2251589E+00  4.0000212E-10  0.0000000E+00  1.4465667E+00
  0.0000000E+00  1.3702615E+00  9.0394242E+00  2.1195138E+01  8.9738751E+01  8.9803360E+01  7.0385793E+02  8.9803362E+01  8.9738871E+01  2.1195138E+01  9.0394242E+00  1.3702615E+00  0.0000000E+00  1.5673748E+00
  0.0000000E+00  3.4656361E+00  1.1052884E+01  2.3047025E+01  9.0559328E+01  9.0631816E+01  8.1236546E+02  9.0631819E+01  9.0559454E+01  2.3047025E+01  1.1052884E+01  3.4656361E+00  0.0000000E+00  1.6883457E+00
  0.0000000E+00  5.7628273E+00  1.3272623E+01  2.5114026E+01  9.1633926E+01  9.1714605E+01  9.3043579E+02  9.1714606E+01  9.1634058E+01  2.5114026E+01  1.3272623E+01  5.7628273E+00  0.0000000E+00  1.8095026E+00
  0.0000000E+00  8.2684559E+00  1.5704847E+01  2.7401531E+01  9.2952145E+01  9.3040946E+01  1.0581633E+03  9.3040949E+01  9.2952280E+01  2.7401531E+01  1.5704847E+01  8.2684559E+00  0.0000000E+00  1.9308464E+00
  0.0000000E+00  1.0988219E+01  1.8354888E+01  2.9914161E+01  9.4505795E+01  9.4602402E+01  1.1955937E+03  9.4602407E+01  9.4505934E+01  2.9914161E+01  1.8354888E+01  1.0988219E+01  0.0000000E+00  2.0523779E+00
  0.0000000E+00  1.3926949E+01  2.1227262E+01  3.2655806E+01  9.6344662E+01  9.6448622E+01  1.3427316E+03  9.6448626E+01  9.6344805E+01  3.2655806E+01  2.1227262E+01  1.3926949E+01  0.0000000E+00  2.1740980E+00
  0.0000000E+00  1.7088670E+01  2.4325714E+01  3.5629663E+01  9.8481732E+01  9.8593182E+01  1.4995477E+03  9.8593186E+01  9.8481880E+01  3.5629663E+01  2.4325714E+01  1.7088670E+01  0.0000000E+00  2.2960076E+00
  0.0000000E+00  2.0476668E+01  2.7653281E+01  3.8838282E+01  1.0088433E+02  1.0100507E+02  1.6659838E+03  1.0100514E+02  1.0088454E+02  3.8838282E+01  2.7653281E+01  2.0476668E+01  0.0000000E+00  2.4181074E+00
  0.0000000E+00  2.4093552E+01  3.1212355E+01  4.2283621E+01  1.0361652E+02  1.0374273E+02  1.8419584E+03  1.0374281E+02  1.0361674E+02  4.2283621E+01  3.1212355E+01  2.4093552E+01  0.0000000E+00  2.5403985E+00
  0.0000000E+00  2.7941319E+01  3.5004734E+01  4.5967092E+01  1.0664353E+02  1.0677712E+02  2.0273701E+03  1.0677719E+02  1.0664376E+02  4.5967092E+01  3.5004734E+01  2.7941319E+01  0.0000000E+00  2.6628816E+00
  0.0000000E+00  3.2021408E+01  3.9031682E+01  4.9889614E+01  1.0992583E+02  1.1006669E+02  2.2221017E+03  1.1006677E+02  1.0992607E+02  4.9889614E+01  3.9031682E+01  3.2021408E+01  0.0000000E+00  2.7855577E+00
  0.0000000E+00  3.6334757E+01  4.3293981E+01  5.4051654E+01  1.1346248E+02  1.1361052E+02  2.4260228E+03  1.1361061E+02  1.1346271E+02  5.4051654E+01  4.3293981E+01  3.6334757E+01  0.0000000E+00  2.9084276E+00
  0.0000000E+00  4.0881857E+01  4.7791979E+01  5.8453280E+01  1.1725227E+02  1.1740743E+02  2.6389926E+03  1.1740751E+02  1.1725252E+02  5.8453280E+01  4.7791979E+01  4.0881857E+01  0.0000000E+00  3.0314924E+00
  0.0000000E+00  4.5662793E+01  5.2525631E+01  6.3094193E+01  1.2129379E+02  1.2145597E+02  2.8608617E+03  1.2145606E+02  1.2129404E+02  6.3094193E+01  5.2525631E+01  4.5662793E+01  0.0000000E+00  3.1547528E+00
  0.0000000E+00  5.0677292E+01  5.7494547E+01  6.7973772E+01  1.2558538E+02  1.2575451E+02  3.0914745E+03  1.2575459E+02  1.2558563E+02  6.7973772E+01  5.7494547E+01  5.0677292E+01  0.0000000E+00  3.2782098E+00
  0.0000000E+00  5.5924760E+01  6.2698028E+01  7.3091106E+01  1.3012519E+02  1.3030118E+02  3.3306703E+03  1.3030127E+02  1.3012545E+02  7.3091106E+01  6.2698028E+01  5.5924760E+01  0.0000000E+00  3.4018643E+00
  0.0000000E+00  6.1404317E+01  6.8135097E+01  7.8445027E+01  1.3491120E+02  1.3509399E+02  3.5782848E+03  1.3509408E+02  1.3491146E+02  7.8445027E+01  6.8135097E+01  6.1404317E+01  0.0000000E+00  3.5257172E+00
  0.0000000E+00  6.7114832E+01  7.3804534E+01  8.4034137E+01  1.3998205E+02  1.4016818E+02  3.8341511E+03  1.4016827E+02  1.3998231E+02  8.4034137E+01  7.3804534E+01  6.7114832E+01  0.0000000E+00  3.6497695E+00
  0.0000000E+00  7.3054951E+01  7.9704903E+01  8.9856841E+01  1.4531858E+02  1.4551125E+02  4.0981011E+03  1.4551134E+02  1.4531885E+02  8.9856840E+01  7.9704903E+01  7.3054951E+01  0.0000000E+00  3.7740222E+00
  3.4632167E+00  7.9223237E+01  8.5834693E+01  9.5911715E+01  1.5089670E+02  1.5109584E+02  4.3652127E+03  1.5109593E+02  1.5089697E+02  9.5911715E+01  8.5834693E+01  7.9223237E+01  3.4632167E+00  3.8980652E+00
  1.0251496E+01  8.5618021E+01  9.2192109E+01  1.0219670E+02  1.5671315E+02  1.5691870E+02  4.6358937E+03  1.5691880E+02  1.5671343E+02  1.0219670E+02  9.2192109E+01  8.5618021E+01  1.0251496E+01  4.0219963E+00
  1.7266159E+01  9.2238401E+01  9.8776173E+01  1.0871045E+02  1.6276604E+02  1.6297794E+02  4.9143892E+03  1.6297803E+02  1.6276632E+02  1.0871045E+02  9.8776173E+01  9.2238401E+01  1.7266159E+01  4.1462112E+00
  2.4503997E+01  9.9083575E+01  1.0558603E+02  1.1545202E+02  1.6910904E+02  1.6931974E+02  5.2005587E+03  1.6931980E+02  1.6910937E+02  1.1545202E+02  1.0558603E+02  9.9083575E+01  2.4503997E+01  4.2707115E+00
  3.1963813E+01  1.0615256E+02  1.1262065E+02  1.2242028E+02  1.7572767E+02  1.7594440E+02  5.4942610E+03  1.7594447E+02  1.7572800E+02  1.2242028E+02  1.1262065E+02  1.0615256E+02  3.1963813E+01  4.3954991E+00
  3.9644384E+01  1.1344423E+02  1.1987886E+02  1.2961396E+02  1.8258016E+02  1.8280287E+02  5.7953552E+03  1.8280293E+02  1.8258050E+02  1.2961396E+02  1.1987886E+02  1.1344423E+02  3.9644384E+01  4.5205757E+00
  4.7544370E+01  1.2095729E+02  1.2735934E+02  1.3703166E+02  1.8966474E+02  1.8989337E+02  6.1037006E+03  1.8989344E+02  1.8966508E+02  1.3703166E+02  1.2735934E+02  1.2095729E+02  4.7544370E+01  4.6459433E+00
  5.5662325E+01  1.2869034E+02  1.3506063E+02  1.4467186E+02  1.9697956E+02  1.9721406E+02  6.4191571E+03  1.9721413E+02  1.9697990E+02  1.4467186E+02  1.3506063E+02  1.2869034E+02  5.5662325E+01  4.7716038E+00
  6.3996706E+01  1.3664186E+02  1.4298118E+02  1.5253293E+02  2.0452266E+02  2.0476299E+02  6.7415856E+03  2.0476306E+02  2.0452301E+02  1.5253293E+02  1.4298118E+02  1.3664186E+02  6.3996706E+01  4.8975590E+00
  7.2545884E+01  1.4481023E+02  1.5111935E+02  1.6061314E+02  2.1229203E+02  2.1253813E+02  7.0708480E+03  2.1253820E+02  2.1229238E+02  1.6061314E+02  1.5111935E+02  1.4481023E+02  7.2545884E+01  5.0238108E+00
  8.1308150E+01  1.5319375E+02  1.5947338E+02  1.6891070E+02  2.2028558E+02  2.2053740E+02  7.4088443E+03  2.2053747E+02  2.2028593E+02  1.6891070E+02  1.5947338E+02  1.5319375E+02  8.1308150E+01  5.1503613E+00
  9.0281726E+01  1.6179062E+02  1.6804146E+02  1.7742371E+02  2.2850116E+02  2.2875866E+02  7.7582241E+03  2.2875873E+02  2.2850152E+02  1.7742371E+02  1.6804146E+02  1.6179062E+02  9.0281726E+01  5.2772121E+00
  9.9464772E+01  1.7059899E+02  1.7682171E+02  1.8615025E+02  2.3693657E+02  2.3719971E+02  8.1139376E+03  2.3719978E+02  2.3693694E+02  1.8615025E+02  1.7682171E+02  1.7059899E+02  9.9464772E+01  5.4043655E+00
  1.0885540E+02  1.7961693E+02  1.8581217E+02  1.9508831E+02  2.4558959E+02  2.4585831E+02  8.4758622E+03  2.4585838E+02  2.4558996E+02  1.9508831E+02  1.8581217E+02  1.7961693E+02  1.0885540E+02  5.5318233E+00
  1.1845166E+02  1.8884247E+02  1.9501085E+02  2.0423584E+02  2.5445793E+02  2.5473220E+02  8.8438762E+03  2.5473227E+02  2.5445831E+02  2.0423584E+02  1.9501085E+02  1.8884247E+02  1.1845166E+02  5.6595876E+00
  1.2825157E+02  1.9827360E+02  2.0441570E+02  2.1359075E+02  2.6353930E+02  2.6381906E+02  9.2178592E+03  2.6381914E+02  2.6353968E+02  2.1359075E+02  2.0441570E+02  1.9827360E+02  1.2825157E+02  5.7876605E+00
  1.3825312E+02  2.0790826E+02  2.1402466E+02  2.2315093E+02  2.7283137E+02  2.7311659E+02  9.5976919E+03  2.7311666E+02  2.7283175E+02  2.2315093E+02  2.1402466E+02  2.0790826E+02  1.3825312E+02  5.9160438E+00
  1.4845425E+02  2.1774435E+02  2.2383559E+02  2.3291420E+02  2.8233179E+02  2.8262242E+02  9.9832567E+03  2.8262249E+02  2.8233217E+02  2.3291420E+02  2.2383559E+02  2.1774435E+02  1.4845425E+02  6.0447397E+00
  1.5885289E+02  2.2777976E+02  2.3384637E+02  2.4287840E+02  2.9203820E+02  2.9233420E+02  1.0374437E+04  2.9233427E+02  2.9203859E+02  2.4287840E+02  2.3384637E+02  2.2777976E+02  1.5885289E+02  6.1737503E+00
  1.6944695E+02  2.3801235E+02  2.4405484E+02  2.5304133E+02  3.0194823E+02  3.0224955E+02  1.0771119E+04  3.0224963E+02  3.0194862E+02  2.5304133E+02  2.4405484E+02  2.3801235E+02  1.6944695E+02  6.3030779E+00
  1.8023429E+02  2.4843996E+02  2.5445882E+02  2.6340078E+02  3.1205950E+02  3.1236611E+02  1.1173189E+04  3.1236619E+02  3.1205989E+02  2.6340078E+02  2.5445882E+02  2.4843996E+02  1.8023429E+02  6.4327242E+00
  1.9121281E+02  2.5909633E+02  2.6505612E+02  2.7395451E+02  3.2236963E+02  3.2268149E+02  1.1580537E+04  3.2268158E+02  3.2237003E+02  2.7395451E+02  2.6505612E+02  2.5909633E+02  1.9121281E+02  6.5626917E+00
  0.0000000E+00  4.0000064E-10  2.0000091E-10  1.3288532E+01  8.2880936E+01  8.2863698E+01  1.0480661E+02  8.2863689E+01  8.2881001E+01  1.3288531E+01  3.0000000E-10  3.0000000E-10  0.0000000E+00  6.0368805E-01
  0.0000000E+00  4.0000000E-10  3.0000000E-10  1.1969480E+01  8.0203381E+01  8.0195583E+01  1.2038717E+02  8.0195574E+01  8.0203449E+01  1.1969480E+01  1.0000111E-10  3.0000000E-10  0.0000000E+00  6.0347138E-01
  0.0000000E+00  4.0000000E-10  9.0797195E-02  1.1322699E+01  7.8180106E+01  7.8181533E+01  1.4605995E+02  7.8181525E+01  7.8180180E+01  1.1322699E+01  9.0797195E-02  4.0000000E-10  0.0000000E+00  6.1972035E-01
  0.0000000E+00  3.0000000E-10  7.4453968E-01  1.1739399E+01  7.7192662E+01  7.7203099E+01  1.9057866E+02  7.7203093E+01  7.7192742E+01  1.1739399E+01  7.4453968E-01  2.0000099E-10  0.0000000E+00  7.1627370E-01
  0.0000000E+00  4.0000000E-10  1.5300957E+00  1.2308782E+01  7.6475417E+01  7.6494661E+01  2.4143451E+02  7.6494655E+01  7.6475504E+01  1.2308782E+01  1.5300957E+00  3.0000026E-10  0.0000000E+00  8.1296110E-01
  0.0000000E+00  3.0000066E-10  2.4566406E+00  1.3041256E+01  7.5982807E+01  7.6010663E+01  2.9908689E+02  7.6010656E+01  7.5982899E+01  1.3041256E+01  2.4566406E+00  3.0000020E-10  0.0000000E+00  9.0977978E-01
  0.0000000E+00  2.0000130E-10  3.5320161E+00  1.3939259E+01  7.5716788E+01  7.5753073E+01  3.6441150E+02  7.5753059E+01  7.5716890E+01  1.3939259E+01  3.5320161E+00  3.0000017E-10  0.0000000E+00  1.0067303E+00
  0.0000000E+00  3.0000000E-10  4.7656454E+00  1.5008629E+01  7.5666427E+01  7.5710986E+01  4.3753050E+02  7.5710974E+01  7.5666535E+01  1.5008629E+01  4.7656454E+00  4.0000024E-10  0.0000000E+00  1.1038133E+00
  0.0000000E+00  4.0000022E-10  6.1669217E+00  1.6254746E+01  7.5842160E+01  7.5894718E+01  5.1860632E+02  7.5894727E+01  7.5842296E+01  1.6254746E+01  6.1669217E+00  3.0000014E-10  0.0000000E+00  1.2010292E+00
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  0.0000000E+00  7.1871490E+00  1.3545392E+01  2.3100279E+01  7.8847356E+01  7.8930321E+01  9.1738208E+02  7.8930334E+01  7.8847515E+01  2.3100279E+01  1.3545392E+01  7.1871490E+00  0.0000000E+00  1.5911061E+00
  0.0000000E+00  9.5602437E+00  1.5860148E+01  2.5299251E+01  8.0177494E+01  8.0266796E+01  1.0380160E+03  8.0266801E+01  8.0177666E+01  2.5299251E+01  1.5860148E+01  9.5602437E+00  0.0000000E+00  1.6889962E+00
  0.0000000E+00  1.2126723E+01  1.8371117E+01  2.7700192E+01  8.1756924E+01  8.1853153E+01  1.1670812E+03  8.1853159E+01  8.1757102E+01  2.7700192E+01  1.8371117E+01  1.2126723E+01  0.0000000E+00  1.7870379E+00
  0.0000000E+00  1.4889617E+01  2.1081092E+01  3.0305416E+01  8.3594820E+01  8.3697590E+01  1.3045184E+03  8.3697601E+01  8.3595006E+01  3.0305416E+01  2.1081092E+01  1.4889617E+01  0.0000000E+00  1.8852319E+00
  0.0000000E+00  1.7851293E+01  2.3992232E+01  3.3116655E+01  8.5706186E+01  8.5814800E+01  1.4502454E+03  8.5814816E+01  8.5706381E+01  3.3116655E+01  2.3992232E+01  1.7851293E+01  0.0000000E+00  1.9835789E+00
  0.0000000E+00  2.1013521E+01  2.7106123E+01  3.6135118E+01  8.8057566E+01  8.8172946E+01  1.6041622E+03  8.8172961E+01  8.8057765E+01  3.6135118E+01  2.7106123E+01  2.1013521E+01  0.0000000E+00  2.0820796E+00
  0.0000000E+00  2.4377536E+01  3.0423835E+01  3.9361537E+01  9.0629814E+01  9.0751861E+01  1.7661538E+03  9.0751879E+01  9.0630016E+01  3.9361537E+01  3.0423835E+01  2.4377536E+01  0.0000000E+00  2.1807347E+00
  0.0000000E+00  2.7944092E+01  3.3945973E+01  4.2796216E+01  9.3421758E+01  9.3550385E+01  1.9360934E+03  9.3550401E+01  9.3421966E+01  4.2796216E+01  3.3945973E+01  2.7944092E+01  0.0000000E+00  2.2795449E+00
  0.0000000E+00  3.1713515E+01  3.7672731E+01  4.6439080E+01  9.6432004E+01  9.6567120E+01  2.1138448E+03  9.6567138E+01  9.6432213E+01  4.6439080E+01  3.7672731E+01  3.1713515E+01  0.0000000E+00  2.3785110E+00
  0.0000000E+00  3.5685751E+01  4.1603935E+01  5.0289708E+01  9.9658946E+01  9.9800469E+01  2.2992647E+03  9.9800489E+01  9.9659162E+01  5.0289708E+01  4.1603935E+01  3.5685751E+01  0.0000000E+00  2.4776336E+00
  0.0000000E+00  3.9860409E+01  4.5739086E+01  5.4347382E+01  1.0310081E+02  1.0324866E+02  2.4922043E+03  1.0324868E+02  1.0310103E+02  5.4347382E+01  4.5739086E+01  3.9860409E+01  0.0000000E+00  2.5769136E+00
  0.0000000E+00  4.4236800E+01  5.0077395E+01  5.8611112E+01  1.0676985E+02  1.0692426E+02  2.6925107E+03  1.0692437E+02  1.0677016E+02  5.8611112E+01  5.0077395E+01  4.4236800E+01  0.0000000E+00  2.6763516E+00
  0.0000000E+00  4.8813971E+01  5.4617823E+01  6.3079677E+01  1.1074749E+02  1.1090552E+02  2.9000284E+03  1.1090563E+02  1.1074780E+02  6.3079677E+01  5.4617823E+01  4.8813971E+01  0.0000000E+00  2.7759485E+00
  0.0000000E+00  5.3590740E+01  5.9359104E+01  6.7751645E+01  1.1495586E+02  1.1511983E+02  3.1146002E+03  1.1511994E+02  1.1495618E+02  6.7751645E+01  5.9359104E+01  5.3590740E+01  0.0000000E+00  2.8757049E+00
  0.0000000E+00  5.8565722E+01  6.4299779E+01  7.2625406E+01  1.1937676E+02  1.1954659E+02  3.3360680E+03  1.1954670E+02  1.1937709E+02  7.2625405E+01  6.4299779E+01  5.8565722E+01  0.0000000E+00  2.9756216E+00
  0.0000000E+00  6.3737356E+01  6.9438219E+01  7.7699189E+01  1.2400774E+02  1.2418335E+02  3.5642737E+03  1.2418347E+02  1.2400807E+02  7.7699190E+01  6.9438219E+01  6.3737356E+01  0.0000000E+00  3.0756994E+00
  3.0321794E+00  6.9104030E+01  7.4772749E+01  8.2971386E+01  1.2886669E+02  1.2904257E+02  3.7949269E+03  1.2904264E+02  1.2886707E+02  8.2971386E+01  7.4772749E+01  6.9104030E+01  3.0321794E+00  3.1756042E+00
  8.9753237E+00  7.4663937E+01  8.0301456E+01  8.8439859E+01  1.3398766E+02  1.3416903E+02  4.0284873E+03  1.3416911E+02  1.3398805E+02  8.8439859E+01  8.0301456E+01  7.4663937E+01  8.9753237E+00  3.2754151E+00
  1.5105781E+01  8.0415946E+01  8.6023147E+01  9.4103114E+01  1.3931276E+02  1.3949956E+02  4.2734356E+03  1.3949963E+02  1.3931315E+02  9.4103114E+01  8.6023147E+01  8.0415946E+01  1.5105781E+01  3.3754542E+00
  2.1422692E+01  8.6359026E+01  9.1936746E+01  9.9959988E+01  1.4484037E+02  1.4503255E+02  4.5246284E+03  1.4503262E+02  1.4484077E+02  9.9959988E+01  9.1936746E+01  8.6359026E+01  2.1422692E+01  3.4757231E+00
  2.7925060E+01  9.2492005E+01  9.8041043E+01  1.0600919E+02  1.5056881E+02  1.5076631E+02  4.7819480E+03  1.5076638E+02  1.5056921E+02  1.0600919E+02  9.8041043E+01  9.2492005E+01  2.7925060E+01  3.5762232E+00
  3.4611760E+01  9.8856587E+01  1.0433471E+02  1.1224931E+02  1.5649630E+02  1.5669905E+02  5.0452760E+03  1.5669913E+02  1.5649670E+02  1.1224931E+02  1.0433471E+02  9.8856587E+01  3.4611760E+01  3.6769560E+00
  4.1481555E+01  1.0544479E+02  1.1081630E+02  1.1867884E+02  1.6262095E+02  1.6282892E+02  5.3144936E+03  1.6282900E+02  1.6262136E+02  1.1867884E+02  1.1081630E+02  1.0544479E+02  4.1481555E+01  3.7779230E+00
  4.8533107E+01  1.1222131E+02  1.1748428E+02  1.2529619E+02  1.6894085E+02  1.6915397E+02  5.5894822E+03  1.6915405E+02  1.6894127E+02  1.2529619E+02  1.1748428E+02  1.1222131E+02  4.8533107E+01  3.8791257E+00
  5.5764990E+01  1.1918445E+02  1.2433705E+02  1.3209967E+02  1.7545401E+02  1.7567223E+02  5.8701236E+03  1.7567231E+02  1.7545443E+02  1.3209967E+02  1.2433705E+02  1.1918445E+02  5.5764990E+01  3.9805656E+00
  6.3175695E+01  1.2633246E+02  1.3137291E+02  1.3908754E+02  1.8215837E+02  1.8238165E+02  6.1563003E+03  1.8238173E+02  1.8215880E+02  1.3908754E+02  1.3137291E+02  1.2633246E+02  6.3175695E+01  4.0822443E+00
  7.0763647E+01  1.3366350E+02  1.3859012E+02  1.4625799E+02  1.8905187E+02  1.8928015E+02  6.4478956E+03  1.8928023E+02  1.8905230E+02  1.4625799E+02  1.3859012E+02  1.3366350E+02  7.0763647E+01  4.1841633E+00
  7.8527204E+01  1.4117573E+02  1.4598685E+02  1.5360917E+02  1.9613237E+02  1.9636560E+02  6.7447941E+03  1.9636569E+02  1.9613281E+02  1.5360917E+02  1.4598685E+02  1.4117573E+02  7.8527204E+01  4.2863243E+00
  8.6464673E+01  1.4886723E+02  1.5356127E+02  1.6113917E+02  2.0339773E+02  2.0363588E+02  7.0468815E+03  2.0363597E+02  2.0339818E+02  1.6113917E+02  1.5356127E+02  1.4886723E+02  8.6464673E+01  4.3887288E+00
  9.4574314E+01  1.5673606E+02  1.6131148E+02  1.6884606E+02  2.1084578E+02  2.1108879E+02  7.3540451E+03  2.1108888E+02  2.1084623E+02  1.6884606E+02  1.6131148E+02  1.5673606E+02  9.4574314E+01  4.4913783E+00
  1.0285435E+02  1.6478025E+02  1.6927900E+02  1.7677306E+02  2.1854262E+02  2.1879039E+02  7.6661737E+03  2.1879048E+02  2.1854307E+02  1.7677306E+02  1.6927900E+02  1.6478025E+02  1.0285435E+02  4.5942746E+00
  1.1130296E+02  1.7299780E+02  1.7748974E+02  1.8494255E+02  2.2646423E+02  2.2671677E+02  7.9831577E+03  2.2671686E+02  2.2646468E+02  1.8494255E+02  1.7748974E+02  1.7299780E+02  1.1130296E+02  4.6974192E+00
  1.1991830E+02  1.8138670E+02  1.8587180E+02  1.9328433E+02  2.3456330E+02  2.3482057E+02  8.3048890E+03  2.3482067E+02  2.3456377E+02  1.9328433E+02  1.8587180E+02  1.8138670E+02  1.1991830E+02  4.8008139E+00
  1.2869850E+02  1.8994492E+02  1.9442316E+02  2.0179635E+02  2.4283761E+02  2.4309956E+02  8.6312616E+03  2.4309966E+02  2.4283807E+02  2.0179635E+02  1.9442316E+02  1.8994492E+02  1.2869850E+02  4.9044602E+00
  1.3764169E+02  1.9867043E+02  2.0314179E+02  2.1047654E+02  2.5128488E+02  2.5155148E+02  8.9621712E+03  2.5155158E+02  2.5128536E+02  2.1047654E+02  2.0314179E+02  1.9867043E+02  1.3764169E+02  5.0083600E+00
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  1.5600937E+02  2.1661506E+02  2.2107264E+02  2.2833311E+02  2.6868940E+02  2.6896517E+02  9.6371933E+03  2.6896527E+02  2.6868988E+02  2.2833311E+02  2.2107264E+02  2.1661506E+02  1.5600937E+02  5.2169265E+00
  1.6543002E+02  2.2583009E+02  2.3028077E+02  2.3750533E+02  2.7764217E+02  2.7792246E+02  9.9811065E+03  2.7792256E+02  2.7764265E+02  2.3750533E+02  2.3028077E+02  2.2583009E+02  1.6543002E+02  5.3215967E+00
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  0.0000000E+00  2.0000000E-10  1.0000012E-10  9.3748830E+00  6.7174874E+01  6.7167313E+01  9.9481042E+01  6.7167301E+01  6.7174960E+01  9.3748825E+00  1.0000025E-10  3.0000000E-10  0.0000000E+00  5.1629010E-01
  0.0000000E+00  3.0000000E-10  7.5311405E-02  9.1788087E+00  6.5604767E+01  6.5606140E+01  1.2162366E+02  6.5606130E+01  6.5604860E+01  9.1788086E+00  7.5311405E-02  3.0000000E-10  0.0000000E+00  5.2966488E-01
  0.0000000E+00  3.0000000E-10  6.2096618E-01  9.5282138E+00  6.4598291E+01  6.4608274E+01  1.5949722E+02  6.4608267E+01  6.4598393E+01  9.5282137E+00  6.2096618E-01  3.0000000E-10  0.0000000E+00  6.0671209E-01
  0.0000000E+00  2.0000015E-10  1.2840073E+00  1.0013087E+01  6.3842621E+01  6.3860909E+01  2.0332431E+02  6.3860899E+01  6.3842731E+01  1.0013087E+01  1.2840073E+00  3.0000000E-10  0.0000000E+00  6.8386352E-01
  0.0000000E+00  3.0000000E-10  2.0730007E+00  1.0642618E+01  6.3300711E+01  6.3327052E+01  2.5349232E+02  6.3327044E+01  6.3300825E+01  1.0642618E+01  2.0730007E+00  3.0000000E-10  0.0000000E+00  7.6111965E-01
  0.0000000E+00  3.0000000E-10  2.9955705E+00  1.1419727E+01  6.2973121E+01  6.3007248E+01  3.1065753E+02  6.3007235E+01  6.2973252E+01  1.1419727E+01  2.9955705E+00  3.0000000E-10  0.0000000E+00  8.3848091E-01
  0.0000000E+00  3.0000000E-10  4.0626087E+00  1.2349776E+01  6.2853379E+01  6.2895021E+01  3.7478203E+02  6.2895033E+01  6.2853540E+01  1.2349776E+01  4.0626087E+00  3.0000000E-10  0.0000000E+00  9.1594774E-01
  0.0000000E+00  2.0000000E-10  5.2777820E+00  1.3437495E+01  6.2952652E+01  6.3001401E+01  4.4602966E+02  6.3001413E+01  6.2952824E+01  1.3437495E+01  5.2777820E+00  3.0000000E-10  0.0000000E+00  9.9352060E-01
  0.0000000E+00  1.0309008E+00  6.6462407E+00  1.4686834E+01  6.3269477E+01  6.3325288E+01  5.2313052E+02  6.3325304E+01  6.3269655E+01  1.4686834E+01  6.6462407E+00  1.0309008E+00  0.0000000E+00  1.0711666E+00
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  0.0000000E+00  1.8372166E+01  2.3604527E+01  3.0898308E+01  7.3507617E+01  7.3612256E+01  1.3991940E+03  7.3612279E+01  7.3507860E+01  3.0898308E+01  2.3604527E+01  1.8372166E+01  0.0000000E+00  1.6965319E+00
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  0.0000000E+00  3.1294450E+01  3.6297423E+01  4.3311899E+01  8.3606877E+01  8.3733902E+01  2.0071827E+03  8.3733929E+01  8.3607142E+01  4.3311898E+01  3.6297423E+01  3.1294450E+01  0.0000000E+00  2.0121532E+00
  0.0000000E+00  3.4981212E+01  3.9912626E+01  4.6864144E+01  8.6645210E+01  8.6775816E+01  2.1781915E+03  8.6775846E+01  8.6645480E+01  4.6864144E+01  3.9912626E+01  3.4981212E+01  0.0000000E+00  2.0913710E+00
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  0.0000000E+00  5.6034867E+01  6.0678813E+01  6.7349961E+01  1.0504110E+02  1.0519041E+02  3.1221725E+03  1.0519050E+02  1.0504156E+02  6.7349961E+01  6.0678813E+01  5.6034867E+01  0.0000000E+00  2.4893639E+00
  2.6459235E+00  6.0757993E+01  6.5383405E+01  7.2004035E+01  1.0937984E+02  1.0953374E+02  3.3241760E+03  1.0953383E+02  1.0938030E+02  7.2004035E+01  6.5383405E+01  6.0757993E+01  2.6459235E+00  2.5690766E+00
  7.8274665E+00  6.5647597E+01  7.0254864E+01  7.6826697E+01  1.1389648E+02  1.1405493E+02  3.5282842E+03  1.1405502E+02  1.1389695E+02  7.6826697E+01  7.0254864E+01  6.5647597E+01  7.8274665E+00  2.6487110E+00
  1.3166401E+01  7.0702325E+01  7.5291812E+01  8.1816325E+01  1.1858889E+02  1.1875182E+02  3.7377211E+03  1.1875191E+02  1.1858936E+02  8.1816325E+01  7.5291812E+01  7.0702325E+01  1.3166401E+01  2.7285277E+00
  1.8661841E+01  7.5920932E+01  8.0492993E+01  8.6971588E+01  1.2345529E+02  1.2362264E+02  3.9523707E+03  1.2362274E+02  1.2345577E+02  8.6971588E+01  8.0492993E+01  7.5920932E+01  1.8661841E+01  2.8085278E+00
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  3.0118088E+01  8.6844306E+01  9.1382532E+01  9.7773237E+01  1.3370274E+02  1.3387877E+02  4.3968468E+03  1.3387887E+02  1.3370323E+02  9.7773237E+01  9.1382532E+01  8.6844306E+01  3.0118088E+01  2.9690834E+00
  3.6076556E+01  9.2546123E+01  9.7067921E+01  1.0341653E+02  1.3907996E+02  1.3926025E+02  4.6264450E+03  1.3926035E+02  1.3908046E+02  1.0341653E+02  9.7067921E+01  9.2546123E+01  3.6076556E+01  3.0496412E+00
  4.2186875E+01  9.8405942E+01  1.0291162E+02  1.0921930E+02  1.4462358E+02  1.4480807E+02  4.8607993E+03  1.4480818E+02  1.4462408E+02  1.0921930E+02  1.0291162E+02  9.8405942E+01  4.2186875E+01  3.1303873E+00
  4.8447666E+01  1.0442212E+02  1.0891199E+02  1.1517984E+02  1.5033157E+02  1.5052022E+02  5.0997987E+03  1.5052033E+02  1.5033208E+02  1.1517984E+02  1.0891199E+02  1.0442212E+02  4.8447666E+01  3.2113231E+00
  5.4857482E+01  1.1059298E+02  1.1506732E+02  1.2129640E+02  1.5620190E+02  1.5639467E+02  5.3433335E+03  1.5639478E+02  1.5620242E+02  1.2129640E+02  1.1506732E+02  1.1059298E+02  5.4857482E+01  3.2924495E+00
  6.1414819E+01  1.1691677E+02  1.2137588E+02  1.2756721E+02  1.6223253E+02  1.6242936E+02  5.5912959E+03  1.6242947E+02  1.6223305E+02  1.2756721E+02  1.2137588E+02  1.1691677E+02  6.1414819E+01  3.3737680E+00
  6.8118124E+01  1.2339173E+02  1.2783588E+02  1.3399043E+02  1.6842137E+02  1.6862222E+02  5.8435794E+03  1.6862233E+02  1.6842190E+02  1.3399043E+02  1.2783588E+02  1.2339173E+02  6.8118124E+01  3.4552798E+00
  7.4965802E+01  1.3001606E+02  1.3444552E+02  1.4056423E+02  1.7476634E+02  1.7497116E+02  6.1000798E+03  1.7497128E+02  1.7476687E+02  1.4056423E+02  1.3444552E+02  1.3001606E+02  7.4965802E+01  3.5369862E+00
  8.1956223E+01  1.3678794E+02  1.4120297E+02  1.4728673E+02  1.8126534E+02  1.8147410E+02  6.3606946E+03  1.8147421E+02  1.8126588E+02  1.4728673E+02  1.4120297E+02  1.3678794E+02  8.1956223E+01  3.6188885E+00
  8.9087725E+01  1.4370553E+02  1.4810638E+02  1.5415604E+02  1.8791628E+02  1.8812893E+02  6.6253232E+03  1.8812904E+02  1.8791683E+02  1.5415604E+02  1.4810638E+02  1.4370553E+02  8.9087725E+01  3.7009880E+00
  9.6358625E+01  1.5076697E+02  1.5515389E+02  1.6117028E+02  1.9471706E+02  1.9493356E+02  6.8938670E+03  1.9493367E+02  1.9471761E+02  1.6117028E+02  1.5515389E+02  1.5076697E+02  9.6358625E+01  3.7832860E+00
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  1.1131178E+02  1.6531391E+02  1.6967367E+02  1.7562590E+02  2.0875976E+02  2.0898383E+02  7.4423158E+03  2.0898395E+02  2.0876032E+02  1.7562590E+02  1.6967367E+02  1.6531391E+02  1.1131178E+02  3.9484829E+00
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  1.2680189E+02  1.8041377E+02  1.8474728E+02  1.9063828E+02  2.2337675E+02  2.2360825E+02  8.0052922E+03  2.2360837E+02  2.2337733E+02  1.9063828E+02  1.8474728E+02  1.8041377E+02  1.2680189E+02  4.1144901E+00
  1.3474396E+02  1.8816635E+02  1.9248706E+02  1.9834849E+02  2.3089544E+02  2.3113060E+02  8.2920031E+03  2.3113072E+02  2.3089602E+02  1.9834849E+02  1.9248706E+02  1.8816635E+02  1.3474396E+02  4.1978010E+00
  1.4281504E+02  1.9605154E+02  2.0035965E+02  2.0619218E+02  2.3855152E+02  2.3879030E+02  8.5820796E+03  2.3879042E+02  2.3855211E+02  2.0619218E+02  2.0035965E+02  1.9605154E+02  1.4281504E+02  4.2813186E+00
  0.0000000E+00  2.0000091E-10  2.0000000E-10  7.6418493E+00  5.5442740E+01  5.5427622E+01  6.9528912E+01  5.5427611E+01  5.5442841E+01  7.6418487E+00  2.0000000E-10  3.0000000E-10  0.0000000E+00  4.4100303E-01
  0.0000000E+00  3.0000000E-10  3.0000000E-10  7.3925313E+00  5.3896065E+01  5.3889345E+01  8.0956444E+01  5.3889335E+01  5.3896173E+01  7.3925307E+00  4.0000000E-10  3.0000000E-10  0.0000000E+00  4.4156265E-01
  0.0000000E+00  3.0000000E-10  6.2304747E-02  7.3835113E+00  5.2661245E+01  5.2662456E+01  1.0031965E+02  5.2662448E+01  5.2661362E+01  7.3835112E+00  6.2304747E-02  3.0000000E-10  0.0000000E+00  4.5261044E-01
  0.0000000E+00  2.0000026E-10  5.1791405E-01  7.6811153E+00  5.1742952E+01  5.1751682E+01  1.3279984E+02  5.1751677E+01  5.1743078E+01  7.6811152E+00  5.1791405E-01  2.0000031E-10  0.0000000E+00  5.1376020E-01
  0.0000000E+00  3.0000000E-10  1.0794324E+00  8.0996414E+00  5.1071748E+01  5.1087638E+01  1.7087664E+02  5.1087632E+01  5.1071883E+01  8.0996413E+00  1.0794324E+00  3.0000000E-10  0.0000000E+00  5.7499282E-01
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  0.0000000E+00  2.0000000E-10  4.5367969E+00  1.1099313E+01  5.0359656E+01  5.0400964E+01  3.8459228E+02  5.0400991E+01  5.0359872E+01  1.1099313E+01  4.5367969E+00  1.0000000E-10  0.0000000E+00  8.2075896E-01
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  0.0000000E+00  3.8298565E+00  8.5529430E+00  1.4845699E+01  5.1849906E+01  5.1907910E+01  6.0725950E+02  5.1907940E+01  5.1850146E+01  1.4845699E+01  8.5529430E+00  3.8298565E+00  0.0000000E+00  1.0058912E+00
  0.0000000E+00  5.5158204E+00  1.0183573E+01  1.6396404E+01  5.2729604E+01  5.2792804E+01  6.9420632E+02  5.2792834E+01  5.2729852E+01  1.6396404E+01  1.0183573E+01  5.5158204E+00  0.0000000E+00  1.0677876E+00
  0.0000000E+00  7.3530564E+00  1.1967033E+01  1.8105462E+01  5.3825333E+01  5.3893297E+01  7.8811085E+02  5.3893329E+01  5.3825587E+01  1.8105462E+01  1.1967033E+01  7.3530564E+00  0.0000000E+00  1.1297798E+00
  0.0000000E+00  9.3433322E+00  1.3922868E+01  1.9989437E+01  5.5115280E+01  5.5187394E+01  8.8961268E+02  5.5187423E+01  5.5115558E+01  1.9989437E+01  1.3922868E+01  9.3433322E+00  0.0000000E+00  1.1918681E+00
  0.0000000E+00  1.1487888E+01  1.6034468E+01  2.2032700E+01  5.6616944E+01  5.6693872E+01  9.9727306E+02  5.6693902E+01  5.6617229E+01  2.2032700E+01  1.6034468E+01  1.1487888E+01  0.0000000E+00  1.2540531E+00
  0.0000000E+00  1.3787492E+01  1.8302488E+01  2.4235620E+01  5.8294101E+01  5.8375729E+01  1.1109967E+03  5.8375761E+01  5.8294392E+01  2.4235620E+01  1.8302488E+01  1.3787492E+01  0.0000000E+00  1.3163351E+00
  0.0000000E+00  1.6242492E+01  2.0727179E+01  2.6598190E+01  6.0144929E+01  6.0231152E+01  1.2306756E+03  6.0231184E+01  6.0145226E+01  2.6598190E+01  2.0727179E+01  1.6242492E+01  0.0000000E+00  1.3787147E+00
  0.0000000E+00  1.8852867E+01  2.3308429E+01  2.9120069E+01  6.2167490E+01  6.2258208E+01  1.3561923E+03  6.2258242E+01  6.2167794E+01  2.9120069E+01  2.3308429E+01  1.8852867E+01  0.0000000E+00  1.4411922E+00
  0.0000000E+00  2.1618267E+01  2.6045808E+01  3.1800624E+01  6.4378915E+01  6.4472840E+01  1.4874223E+03  6.4472877E+01  6.4379226E+01  3.1800624E+01  2.6045808E+01  2.1618267E+01  0.0000000E+00  1.5037683E+00
  0.0000000E+00  2.4538057E+01  2.8938607E+01  3.4638964E+01  6.6770855E+01  6.6869035E+01  1.6242358E+03  6.6869073E+01  6.6771172E+01  3.4638964E+01  2.8938607E+01  2.4538057E+01  0.0000000E+00  1.5664432E+00
  0.0000000E+00  2.7611354E+01  3.1985878E+01  3.7633974E+01  6.9329461E+01  6.9431812E+01  1.7664994E+03  6.9431852E+01  6.9329783E+01  3.7633974E+01  3.1985878E+01  2.7611354E+01  0.0000000E+00  1.6292176E+00
  0.0000000E+00  3.0837056E+01  3.5186458E+01  4.0784344E+01  7.2091994E+01  7.2196054E+01  1.9140779E+03  7.2196036E+01  7.2092384E+01  4.0784344E+01  3.5186458E+01  3.0837056E+01  0.0000000E+00  1.6920919E+00
  0.0000000E+00  3.4213876E+01  3.8539007E+01  4.4088598E+01  7.5024885E+01  7.5132881E+01  2.0668346E+03  7.5132863E+01  7.5025283E+01  4.4088598E+01  3.8539007E+01  3.4213876E+01  0.0000000E+00  1.7550666E+00
  0.0000000E+00  3.7740367E+01  4.2042025E+01  4.7545116E+01  7.8153636E+01  7.8263852E+01  2.2246330E+03  7.8263958E+01  7.8154163E+01  4.7545116E+01  4.2042025E+01  3.7740367E+01  0.0000000E+00  1.8181422E+00
  0.0000000E+00  4.1414944E+01  4.5693882E+01  5.1152155E+01  8.1446688E+01  8.1560644E+01  2.3873366E+03  8.1560752E+01  8.1447223E+01  5.1152154E+01  4.5693882E+01  4.1414944E+01  0.0000000E+00  1.8813191E+00
  0.0000000E+00  4.5235907E+01  4.9492836E+01  5.4907870E+01  8.4920363E+01  8.5036774E+01  2.5548105E+03  8.5036885E+01  8.4920906E+01  5.4907870E+01  4.9492836E+01  4.5235907E+01  0.0000000E+00  1.9445979E+00
  0.0000000E+00  4.9201455E+01  5.3437047E+01  5.8810331E+01  8.8560117E+01  8.8680102E+01  2.7269209E+03  8.8680214E+01  8.8560668E+01  5.8810330E+01  5.3437047E+01  4.9201455E+01  0.0000000E+00  2.0079790E+00
  2.3035809E+00  5.3309787E+01  5.7524681E+01  6.2857742E+01  9.2353599E+01  9.2477100E+01  2.9003757E+03  9.2477213E+01  9.2354157E+01  6.2857741E+01  5.7524681E+01  5.3309787E+01  2.3035809E+00  2.0712443E+00
  6.8114175E+00  5.7558977E+01  6.1753744E+01  6.7047964E+01  9.6297782E+01  9.6424747E+01  3.0754276E+03  9.6424864E+01  9.6298348E+01  6.7047964E+01  6.1753744E+01  5.7558977E+01  6.8114175E+00  2.1344446E+00
  1.1451785E+01  6.1947625E+01  6.6122800E+01  7.1379361E+01  1.0039056E+02  1.0052094E+02  3.2548819E+03  1.0052106E+02  1.0039113E+02  7.1379361E+01  6.6122800E+01  6.1947625E+01  1.1451785E+01  2.1977901E+00
  1.6223715E+01  6.6474437E+01  7.0630529E+01  7.5850556E+01  1.0463017E+02  1.0476391E+02  3.4386289E+03  1.0476404E+02  1.0463075E+02  7.5850556E+01  7.0630529E+01  6.6474437E+01  1.6223715E+01  2.2612817E+00
  2.1126139E+01  7.1138039E+01  7.5275534E+01  8.0460097E+01  1.0901481E+02  1.0915187E+02  3.6265606E+03  1.0915200E+02  1.0901539E+02  8.0460096E+01  7.5275534E+01  7.1138039E+01  2.1126139E+01  2.3249203E+00
  2.6157898E+01  7.5936988E+01  8.0056353E+01  8.5206469E+01  1.1354263E+02  1.1368297E+02  3.8185703E+03  1.1368309E+02  1.1354322E+02  8.5206468E+01  8.0056353E+01  7.5936988E+01  2.6157898E+01  2.3887069E+00
  3.1317760E+01  8.0869783E+01  8.4971462E+01  9.0088104E+01  1.1821176E+02  1.1835534E+02  4.0145534E+03  1.1835546E+02  1.1821236E+02  9.0088103E+01  8.4971462E+01  8.0869783E+01  3.1317760E+01  2.4526426E+00
  3.6604422E+01  8.5934875E+01  9.0019293E+01  9.5103388E+01  1.2302030E+02  1.2316707E+02  4.2144069E+03  1.2316720E+02  1.2302091E+02  9.5103388E+01  9.0019293E+01  8.5934875E+01  3.6604422E+01  2.5167281E+00
  4.2016529E+01  9.1130672E+01  9.5198237E+01  1.0025067E+02  1.2796633E+02  1.2811625E+02  4.4180297E+03  1.2811638E+02  1.2796695E+02  1.0025067E+02  9.5198237E+01  9.1130672E+01  4.2016529E+01  2.5809648E+00
  4.7552671E+01  9.6455545E+01  1.0050665E+02  1.0552827E+02  1.3304792E+02  1.3320095E+02  4.6253227E+03  1.3320108E+02  1.3304854E+02  1.0552827E+02  1.0050665E+02  9.6455545E+01  4.7552671E+01  2.6453533E+00
  5.3211400E+01  1.0190784E+02  1.0594286E+02  1.1093448E+02  1.3826312E+02  1.3841923E+02  4.8361889E+03  1.3841936E+02  1.3826375E+02  1.1093448E+02  1.0594286E+02  1.0190784E+02  5.3211400E+01  2.7098948E+00
  5.8991233E+01  1.0748588E+02  1.1150517E+02  1.1646757E+02  1.4360999E+02  1.4376914E+02  5.0505332E+03  1.4376927E+02  1.4361063E+02  1.1646757E+02  1.1150517E+02  1.0748588E+02  5.8991233E+01  2.7745904E+00
  6.4890657E+01  1.1318796E+02  1.1719187E+02  1.2212580E+02  1.4908658E+02  1.4924873E+02  5.2682628E+03  1.4924887E+02  1.4908723E+02  1.2212580E+02  1.1719187E+02  1.1318796E+02  6.4890657E+01  2.8394410E+00
  7.0908138E+01  1.1901239E+02  1.2300125E+02  1.2790741E+02  1.5469094E+02  1.5485607E+02  5.4892867E+03  1.5485621E+02  1.5469160E+02  1.2790741E+02  1.2300125E+02  1.1901239E+02  7.0908138E+01  2.9044478E+00
  7.7042121E+01  1.2495743E+02  1.2893157E+02  1.3381066E+02  1.6042114E+02  1.6058920E+02  5.7135163E+03  1.6058934E+02  1.6042180E+02  1.3381066E+02  1.2893157E+02  1.2495743E+02  7.7042121E+01  2.9696116E+00
  8.3291039E+01  1.3102138E+02  1.3498110E+02  1.3983377E+02  1.6627524E+02  1.6644621E+02  5.9408648E+03  1.6644635E+02  1.6627590E+02  1.3983377E+02  1.3498110E+02  1.3102138E+02  8.3291039E+01  3.0349337E+00
  8.9653313E+01  1.3720250E+02  1.4114811E+02  1.4597499E+02  1.7225131E+02  1.7242516E+02  6.1712476E+03  1.7242530E+02  1.7225199E+02  1.4597499E+02  1.4114811E+02  1.3720250E+02  8.9653313E+01  3.1004149E+00
  9.6127360E+01  1.4349908E+02  1.4743085E+02  1.5223257E+02  1.7834745E+02  1.7852414E+02  6.4045822E+03  1.7852429E+02  1.7834813E+02  1.5223257E+02  1.4743085E+02  1.4349908E+02  9.6127360E+01  3.1660567E+00
  1.0271159E+02  1.4990938E+02  1.5382760E+02  1.5860474E+02  1.8456176E+02  1.8474127E+02  6.6407879E+03  1.8474142E+02  1.8456245E+02  1.5860474E+02  1.5382760E+02  1.4990938E+02  1.0271159E+02  3.2318600E+00
  1.0940442E+02  1.5643171E+02  1.6033664E+02  1.6508977E+02  1.9089237E+02  1.9107466E+02  6.8797862E+03  1.9107481E+02  1.9089306E+02  1.6508977E+02  1.6033664E+02  1.5643171E+02  1.0940442E+02  3.2978258E+00
  1.1620426E+02  1.6306436E+02  1.6695625E+02  1.7168592E+02  1.9733739E+02  1.9752245E+02  7.1215006E+03  1.9752260E+02  1.9733809E+02  1.7168592E+02  1.6695625E+02  1.6306436E+02  1.1620426E+02  3.3639554E+00
  1.2310952E+02  1.6980562E+02  1.7368474E+02  1.7839146E+02  2.0389500E+02  2.0408279E+02  7.3658562E+03  2.0408294E+02  2.0389571E+02  1.7839146E+02  1.7368474E+02  1.6980562E+02  1.2310952E+02  3.4302498E+00
  0.0000000E+00  2.0000000E-10  2.0000000E-10  6.0340301E+00  4.2591356E+01  4.2579784E+01  5.4217197E+01  4.2579774E+01  4.2591483E+01  6.0340294E+00  2.0000000E-10  2.0000000E-10  0.0000000E+00  3.7675997E-01
  0.0000000E+00  1.0000076E-10  1.0000100E-10  5.8915548E+00  4.1451315E+01  4.1446199E+01  6.4260919E+01  4.1446189E+01  4.1451449E+01  5.8915542E+00  1.0000022E-10  1.0000011E-10  0.0000000E+00  3.7756156E-01
  0.0000000E+00  3.0000000E-10  5.1782149E-02  5.9303821E+00  4.0561888E+01  4.0562806E+01  8.1741653E+01  4.0562800E+01  4.0562035E+01  5.9303819E+00  5.1782149E-02  3.0000000E-10  0.0000000E+00  3.8672599E-01
  0.0000000E+00  3.0000000E-10  4.3483715E-01  6.1872257E+00  3.9913024E+01  3.9919607E+01  1.1010394E+02  3.9919606E+01  3.9913183E+01  6.1872256E+00  4.3483715E-01  2.0000000E-10  0.0000000E+00  4.3532671E-01
  0.0000000E+00  3.0000000E-10  9.1400836E-01  6.5537158E+00  3.9456606E+01  3.9468535E+01  1.4362046E+02  3.9468565E+01  3.9456809E+01  6.5537157E+00  9.1400836E-01  3.0000000E-10  0.0000000E+00  4.8399338E-01
  0.0000000E+00  2.0000022E-10  1.4978796E+00  7.0375038E+00  3.9173330E+01  3.9190335E+01  1.8267539E+02  3.9190360E+01  3.9173558E+01  7.0375036E+00  1.4978796E+00  3.0000000E-10  0.0000000E+00  5.3272631E-01
  0.0000000E+00  2.0000000E-10  2.1969261E+00  7.6424402E+00  3.9058889E+01  3.9080676E+01  2.2721429E+02  3.9080702E+01  3.9059130E+01  7.6424400E+00  2.1969261E+00  2.0000000E-10  0.0000000E+00  5.8152578E-01
  0.0000000E+00  3.0000000E-10  3.0132042E+00  8.3716227E+00  3.9117478E+01  3.9143829E+01  2.7752736E+02  3.9143858E+01  3.9117732E+01  8.3716225E+00  3.0132042E+00  2.0000000E-10  0.0000000E+00  6.3039208E-01
  0.0000000E+00  3.0000000E-10  3.9507563E+00  9.2282237E+00  3.9344973E+01  3.9375760E+01  3.3421986E+02  3.9375793E+01  3.9345238E+01  9.2282235E+00  3.9507563E+00  3.0000000E-10  0.0000000E+00  6.7932553E-01
  0.0000000E+00  7.9613913E-01  5.0128103E+00  1.0214692E+01  3.9730124E+01  3.9765171E+01  3.9551002E+02  3.9765203E+01  3.9730391E+01  1.0214692E+01  5.0128103E+00  7.9613913E-01  0.0000000E+00  7.2830345E-01
  0.0000000E+00  2.0241332E+00  6.2024478E+00  1.1333312E+01  4.0285461E+01  4.0324535E+01  4.6204052E+02  4.0324571E+01  4.0285744E+01  1.1333312E+01  6.2024478E+00  2.0241332E+00  0.0000000E+00  7.7734612E-01
  0.0000000E+00  3.3805355E+00  7.5225419E+00  1.2586480E+01  4.1005714E+01  4.1048464E+01  5.3421083E+02  4.1048499E+01  4.1006008E+01  1.2586480E+01  7.5225419E+00  3.3805355E+00  0.0000000E+00  8.2646430E-01
  0.0000000E+00  4.8677553E+00  8.9753127E+00  1.3976023E+01  4.1908280E+01  4.1954906E+01  6.1196836E+02  4.1954943E+01  4.1908582E+01  1.3976023E+01  8.9753127E+00  4.8677553E+00  0.0000000E+00  8.7565836E-01
  0.0000000E+00  6.4875820E+00  1.0562385E+01  1.5503224E+01  4.2963916E+01  4.3013682E+01  6.9523926E+02  4.3013714E+01  4.2964242E+01  1.5503224E+01  1.0562385E+01  6.4875820E+00  0.0000000E+00  9.2492866E-01
  0.0000000E+00  8.2412551E+00  1.2284853E+01  1.7168881E+01  4.4194255E+01  4.4247648E+01  7.8393322E+02  4.4247681E+01  4.4194591E+01  1.7168881E+01  1.2284853E+01  8.2412551E+00  0.0000000E+00  9.7427556E-01
  0.0000000E+00  1.0129529E+01  1.4143343E+01  1.8973360E+01  4.5587273E+01  4.5644124E+01  8.7794715E+02  4.5644162E+01  4.5587618E+01  1.8973359E+01  1.4143343E+01  1.0129529E+01  0.0000000E+00  1.0236994E+00
  0.0000000E+00  1.2152733E+01  1.6138074E+01  2.0916645E+01  4.7146288E+01  4.7205828E+01  9.7716837E+02  4.7205870E+01  4.7146643E+01  2.0916645E+01  1.6138074E+01  1.2152733E+01  0.0000000E+00  1.0732006E+00
  0.0000000E+00  1.4310827E+01  1.8268903E+01  2.2998392E+01  4.8861492E+01  4.8924362E+01  1.0814772E+03  4.8924407E+01  4.8861855E+01  2.2998392E+01  1.8268903E+01  1.4310827E+01  0.0000000E+00  1.1227796E+00
  0.0000000E+00  1.6603447E+01  2.0535378E+01  2.5217967E+01  5.0747582E+01  5.0812392E+01  1.1907488E+03  5.0812370E+01  5.0748022E+01  2.5217967E+01  2.0535378E+01  1.6603447E+01  0.0000000E+00  1.1724366E+00
  0.0000000E+00  1.9029952E+01  2.2936777E+01  2.7574485E+01  5.2790837E+01  5.2858787E+01  1.3048552E+03  5.2858767E+01  5.2791286E+01  2.7574484E+01  2.2936777E+01  1.9029952E+01  0.0000000E+00  1.2221721E+00
  0.0000000E+00  2.1589460E+01  2.5472145E+01  3.0066846E+01  5.4978615E+01  5.5049648E+01  1.4236662E+03  5.5049629E+01  5.4979072E+01  3.0066846E+01  2.5472145E+01  2.1589460E+01  0.0000000E+00  1.2719864E+00
  0.0000000E+00  2.4280884E+01  2.8140332E+01  3.2693767E+01  5.7312835E+01  5.7385688E+01  1.5470510E+03  5.7385811E+01  5.7313442E+01  3.2693767E+01  2.8140332E+01  2.4280884E+01  0.0000000E+00  1.3218800E+00
  0.0000000E+00  2.7102962E+01  3.0940014E+01  3.5453810E+01  5.9815500E+01  5.9891280E+01  1.6748786E+03  5.9891406E+01  5.9816116E+01  3.5453809E+01  3.0940014E+01  2.7102962E+01  0.0000000E+00  1.3718533E+00
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  0.0000000E+00  3.3133308E+01  3.6927889E+01  4.1366858E+01  6.5243606E+01  6.5324043E+01  1.9433430E+03  6.5324174E+01  6.5244242E+01  4.1366858E+01  3.6927889E+01  3.3133308E+01  0.0000000E+00  1.4720402E+00
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  0.0000000E+00  3.7795954E+01  4.1087013E+01  4.4605071E+01  6.3318289E+01  6.3385033E+01  2.0693775E+03  6.3385204E+01  6.3319091E+01  4.4605071E+01  4.1087013E+01  3.7795954E+01  0.0000000E+00  1.3163202E+00
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  5.1450933E+00  4.4106412E+01  4.7366732E+01  5.0835836E+01  6.9269998E+01  6.9341041E+01  2.3260266E+03  6.9341218E+01  6.9270821E+01  5.0835835E+01  4.7366732E+01  4.4106412E+01  5.1450933E+00  1.3964789E+00
  8.6416228E+00  4.7410110E+01  5.0655699E+01  5.4101490E+01  7.2401764E+01  7.2474926E+01  2.4576472E+03  7.2475108E+01  7.2402599E+01  5.4101489E+01  5.0655699E+01  4.7410110E+01  8.6416228E+00  1.4366283E+00
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  0.0000000E+00  6.1240954E-02  2.6359830E-01  3.6400088E-01  6.2960421E-01  6.3415749E-01  1.4216456E+01  6.8342956E-01  7.1114387E-01  3.6391996E-01  2.6359830E-01  6.1240954E-02  0.0000000E+00  1.9758580E-02
  0.0000000E+00  9.6668356E-02  2.9698654E-01  3.9656835E-01  6.6058730E-01  6.6535324E-01  1.5024880E+01  7.1572344E-01  7.4419837E-01  3.9648697E-01  2.9698654E-01  9.6668356E-02  0.0000000E+00  2.1346320E-02
  0.0000000E+00  1.3171925E-01  3.3009558E-01  4.2889407E-01  6.9139097E-01  6.9636294E-01  1.5795822E+01  7.4779507E-01  7.7701180E-01  4.2881225E-01  3.3009558E-01  1.3171925E-01  0.0000000E+00  2.2936647E-02
  0.0000000E+00  1.6633402E-01  3.6285755E-01  4.6090712E-01  7.2193953E-01  7.2711125E-01  1.6531086E+01  7.7957138E-01  8.0951207E-01  4.6082491E-01  3.6285755E-01  1.6633402E-01  0.0000000E+00  2.4529574E-02
  0.0000000E+00  2.0046687E-01  3.9521935E-01  4.9255174E-01  7.5217296E-01  7.5753846E-01  1.7232450E+01  8.1099475E-01  8.4164248E-01  4.9246917E-01  3.9521935E-01  2.0046687E-01  0.0000000E+00  2.6125114E-02
  0.0000000E+00  2.3408318E-01  4.2713992E-01  5.2378451E-01  7.8204408E-01  7.8759768E-01  1.7901645E+01  8.4202014E-01  8.7335886E-01  5.2370161E-01  4.2713992E-01  2.3408318E-01  0.0000000E+00  2.7723279E-02
  0.0000000E+00  2.6715743E-01  4.5858802E-01  5.5457206E-01  8.1151612E-01  8.1725241E-01  1.8540338E+01  8.7261281E-01  9.0462723E-01  5.5448886E-01  4.5858802E-01  2.6715743E-01  0.0000000E+00  2.9324082E-02
  0.0000000E+00  2.9967147E-01  4.8954038E-01  5.8488923E-01  8.4056089E-01  8.4647470E-01  1.9150126E+01  9.0274635E-01  9.3542195E-01  5.8480576E-01  4.8954038E-01  2.9967147E-01  0.0000000E+00  3.0927537E-02
  0.0000000E+00  3.3161313E-01  5.1998027E-01  6.1471758E-01  8.6915720E-01  8.7524361E-01  1.9732530E+01  9.3240128E-01  9.6572419E-01  6.1463387E-01  5.1998027E-01  3.3161313E-01  0.0000000E+00  3.2533657E-02
  0.0000000E+00  3.6297515E-01  5.4989628E-01  6.4404418E-01  8.9728963E-01  9.0354392E-01  2.0288994E+01  9.6156370E-01  9.9552070E-01  6.4396025E-01  5.4989628E-01  3.6297515E-01  0.0000000E+00  3.4142453E-02
  0.0000000E+00  3.9375416E-01  5.7928135E-01  6.7286058E-01  9.2494748E-01  9.3136513E-01  2.0820882E+01  9.9022433E-01  1.0248028E+00  6.7277644E-01  5.7928135E-01  3.9375416E-01  0.0000000E+00  3.5753941E-02
  0.0000000E+00  4.2395004E-01  6.0813198E-01  7.0116201E-01  9.5212392E-01  9.5870059E-01  2.1329484E+01  1.0183777E+00  1.0535655E+00  7.0107768E-01  6.0813198E-01  4.2395004E-01  0.0000000E+00  3.7368133E-02
  0.0000000E+00  4.5356523E-01  6.3644756E-01  7.2894671E-01  9.7881531E-01  9.8554684E-01  2.1816017E+01  1.0460213E+00  1.0818070E+00  7.2886221E-01  6.3644756E-01  4.5356523E-01  0.0000000E+00  3.8985043E-02
  0.0000000E+00  4.8260424E-01  6.6422982E-01  7.5621537E-01  1.0050206E+00  1.0119030E+00  2.2281625E+01  1.0731553E+00  1.1095278E+00  7.5613072E-01  6.6422982E-01  4.8260424E-01  0.0000000E+00  4.0604684E-02
  0.0000000E+00  5.1107326E-01  6.9148241E-01  7.8297066E-01  1.0307409E+00  1.0377704E+00  2.2727387E+01  1.0997819E+00  1.1367305E+00  7.8288588E-01  6.9148241E-01  5.1107326E-01  0.0000000E+00  4.2227070E-02
  0.0000000E+00  5.3897979E-01  7.1821050E-01  8.0921689E-01  1.0559791E+00  1.0631519E+00  2.3154317E+01  1.1259048E+00  1.1634195E+00  8.0913199E-01  7.1821050E-01  5.3897979E-01  0.0000000E+00  4.3852215E-02
  0.0000000E+00  5.6633237E-01  7.4442049E-01  8.3495964E-01  1.0807394E+00  1.0880519E+00  2.3563371E+01  1.1515293E+00  1.1896001E+00  8.3487463E-01  7.4442049E-01  5.6633237E-01  0.0000000E+00  4.5480132E-02
  0.0000000E+00  5.9314034E-01  7.7011975E-01  8.6020553E-01  1.1050272E+00  1.1124760E+00  2.3955444E+01  1.1766615E+00  1.2152792E+00  8.6012043E-01  7.7011975E-01  5.9314034E-01  0.0000000E+00  4.7110836E-02
  1.6193215E-02  6.1941332E-01  7.9531595E-01  8.8496608E-01  1.1288525E+00  1.1364344E+00  2.4304333E+01  1.2013126E+00  1.2404683E+00  8.8488089E-01  7.9531595E-01  6.1941332E-01  1.6193215E-02  4.8739219E-02
  4.6656993E-02  6.4515431E-01  8.2000876E-01  9.0923941E-01  1.1522110E+00  1.1599230E+00  2.4614579E+01  1.2254803E+00  1.2651662E+00  9.0915415E-01  8.2000876E-01  6.4515431E-01  4.6656993E-02  5.0366553E-02
  7.6464774E-02  6.7037254E-01  8.4420567E-01  9.3302819E-01  1.1751043E+00  1.1829435E+00  2.4911955E+01  1.2491669E+00  1.2893757E+00  9.3294287E-01  8.4420567E-01  6.7037254E-01  7.6464774E-02  5.1997793E-02
  1.0563450E-01  6.9507946E-01  8.6791693E-01  9.5634218E-01  1.1975415E+00  1.2055051E+00  2.5197055E+01  1.2723820E+00  1.3131065E+00  9.5625680E-01  8.6791693E-01  6.9507946E-01  1.0563450E-01  5.3632966E-02
  1.3418367E-01  7.1928656E-01  8.9115284E-01  9.7919126E-01  1.2195315E+00  1.2276169E+00  2.5470440E+01  1.2951352E+00  1.3363686E+00  9.7910584E-01  8.9115284E-01  7.1928656E-01  1.3418367E-01  5.5272097E-02
  1.6212934E-01  7.4300525E-01  9.1392375E-01  1.0015854E+00  1.2410838E+00  1.2492883E+00  2.5732644E+01  1.3174363E+00  1.3591719E+00  1.0014999E+00  9.1392375E-01  7.4300525E-01  1.6212934E-01  5.6915214E-02
  1.8948812E-01  7.6624690E-01  9.3624001E-01  1.0235345E+00  1.2622076E+00  1.2705286E+00  2.5984170E+01  1.3392949E+00  1.3815263E+00  1.0234490E+00  9.3624001E-01  7.6624690E-01  1.8948812E-01  5.8562343E-02
  2.1627616E-01  7.8902271E-01  9.5811189E-01  1.0450485E+00  1.2829122E+00  1.2913472E+00  2.6225495E+01  1.3607210E+00  1.4034418E+00  1.0449629E+00  9.5811189E-01  7.8902271E-01  2.1627616E-01  6.0213512E-02
  2.4250914E-01  8.1134376E-01  9.7954956E-01  1.0661372E+00  1.3032069E+00  1.3117535E+00  2.6457073E+01  1.3817241E+00  1.4249283E+00  1.0660517E+00  9.7954956E-01  8.1134376E-01  2.4250914E-01  6.1868748E-02
  2.6820229E-01  8.3322097E-01  1.0005631E+00  1.0868104E+00  1.3231009E+00  1.3317567E+00  2.6679332E+01  1.4023139E+00  1.4459955E+00  1.0867248E+00  1.0005631E+00  8.3322097E-01  2.6820229E-01  6.3528078E-02
  2.9337038E-01  8.5466504E-01  1.0211624E+00  1.1070777E+00  1.3426032E+00  1.3513660E+00  2.6892678E+01  1.4224998E+00  1.4666532E+00  1.1069922E+00  1.0211624E+00  8.5466504E-01  2.9337038E-01  6.5191532E-02
  3.1802775E-01  8.7568648E-01  1.0413573E+00  1.1269486E+00  1.3617230E+00  1.3705904E+00  2.7097498E+01  1.4422912E+00  1.4869108E+00  1.1268631E+00  1.0413573E+00  8.7568648E-01  3.1802775E-01  6.6859136E-02
  3.4218829E-01  8.9629559E-01  1.0611573E+00  1.1464324E+00  1.3804690E+00  1.3894388E+00  2.7294158E+01  1.4616973E+00  1.5067778E+00  1.1463469E+00  1.0611573E+00  8.9629559E-01  3.4218829E-01  6.8530921E-02
  3.6586547E-01  9.1650245E-01  1.0805719E+00  1.1655383E+00  1.3988500E+00  1.4079201E+00  2.7483004E+01  1.4807272E+00  1.5262632E+00  1.1654528E+00  1.0805719E+00  9.1650245E-01  3.6586547E-01  7.0206915E-02
  3.8907232E-01  9.3631690E-01  1.0996103E+00  1.1842752E+00  1.4168746E+00  1.4260428E+00  2.7664367E+01  1.4993897E+00  1.5453762E+00  1.1841897E+00  1.0996103E+00  9.3631690E-01  3.8907232E-01  7.1887146E-02
  4.1182148E-01  9.5574855E-01  1.1182815E+00  1.2026519E+00  1.4345511E+00  1.4438153E+00  2.7838559E+01  1.5176936E+00  1.5641256E+00  1.2025665E+00  1.1182815E+00  9.5574855E-01  4.1182148E-01  7.3571646E-02
  4.3412519E-01  9.7480679E-01  1.1365943E+00  1.2206771E+00  1.4518878E+00  1.4612460E+00  2.8005879E+01  1.5356473E+00  1.5825201E+00  1.2205917E+00  1.1365943E+00  9.7480679E-01  4.3412519E-01  7.5260443E-02
  4.5599529E-01  9.9350075E-01  1.1545573E+00  1.2383592E+00  1.4688928E+00  1.4783429E+00  2.8166609E+01  1.5532593E+00  1.6005681E+00  1.2382738E+00  1.1545573E+00  9.9350075E-01  4.5599529E-01  7.6953568E-02
  4.7744326E-01  1.0118394E+00  1.1721789E+00  1.2557063E+00  1.4855738E+00  1.4951140E+00  2.8321019E+01  1.5705375E+00  1.6182778E+00  1.2556209E+00  1.1721789E+00  1.0118394E+00  4.7744326E-01  7.8651052E-02
  4.9848020E-01  1.0298313E+00  1.1894674E+00  1.2727264E+00  1.5019386E+00  1.5115670E+00  2.8469364E+01  1.5874901E+00  1.6356574E+00  1.2726411E+00  1.1894674E+00  1.0298313E+00  4.9848020E-01  8.0352925E-02
  5.1911686E-01  1.0474850E+00  1.2064308E+00  1.2894275E+00  1.5179948E+00  1.5277093E+00  2.8611888E+01  1.6041246E+00  1.6527147E+00  1.2893422E+00  1.2064308E+00  1.0474850E+00  5.1911686E-01  8.2059218E-02
  5.3936365E-01  1.0648087E+00  1.2230767E+00  1.3058171E+00  1.5337496E+00  1.5435485E+00  2.8748823E+01  1.6204488E+00  1.6694575E+00  1.3057319E+00  1.2230767E+00  1.0648087E+00  5.3936365E-01  8.3769964E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.2967328E-02  3.2766339E-01  3.3078950E-01  3.1309477E+00  3.7458684E-01  3.9759849E-01  6.2882676E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.6285502E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.9878034E-02  3.4545521E-01  3.4899004E-01  4.2816130E+00  3.9489550E-01  4.1927263E-01  7.9799138E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.0669844E-03
  0.0000000E+00  0.0000000E+00  3.9669095E-03  1.0221149E-01  3.6596237E-01  3.6988113E-01  5.3778068E+00  4.1775014E-01  4.4342035E-01  1.0212504E-01  3.9669095E-03  0.0000000E+00  0.0000000E+00  6.8184272E-03
  0.0000000E+00  0.0000000E+00  3.0181598E-02  1.2711582E-01  3.8837015E-01  3.9265211E-01  6.3945480E+00  4.4236574E-01  4.6926903E-01  1.2702848E-01  3.0181598E-02  0.0000000E+00  0.0000000E+00  8.2416802E-03
  0.0000000E+00  0.0000000E+00  5.7452538E-02  1.5317393E-01  4.1209337E-01  4.1672046E-01  7.3590790E+00  4.6817699E-01  4.9626143E-01  1.5308582E-01  5.7452538E-02  0.0000000E+00  0.0000000E+00  9.6669752E-03
  0.0000000E+00  0.0000000E+00  8.5380604E-02  1.7997384E-01  4.3669989E-01  4.4165565E-01  8.2721928E+00  4.9476396E-01  5.2398203E-01  1.7988507E-01  8.5380604E-02  0.0000000E+00  0.0000000E+00  1.1094321E-02
  0.0000000E+00  0.0000000E+00  1.1366379E-01  2.0720305E-01  4.6186067E-01  4.6713000E-01  9.1356156E+00  5.2180797E-01  5.5211603E-01  2.0711370E-01  1.1366379E-01  0.0000000E+00  0.0000000E+00  1.2523728E-02
  0.0000000E+00  0.0000000E+00  1.4207295E-01  2.3462375E-01  4.8732414E-01  4.9289319E-01  9.9515836E+00  5.4906639E-01  5.8042420E-01  2.3453390E-01  1.4207295E-01  0.0000000E+00  0.0000000E+00  1.3955203E-02
  0.0000000E+00  0.0000000E+00  1.7043411E-01  2.6205473E-01  5.1289751E-01  5.1875352E-01  1.0722581E+01  5.7635416E-01  6.0872452E-01  2.6196445E-01  1.7043411E-01  0.0000000E+00  0.0000000E+00  1.5388756E-02
  0.0000000E+00  2.1459833E-02  1.9861343E-01  2.8935578E-01  5.3842900E-01  5.4456039E-01  1.1419480E+01  6.0352787E-01  6.3687726E-01  2.8926514E-01  1.9861343E-01  2.1459833E-02  0.0000000E+00  1.6823887E-02
  0.0000000E+00  5.1321273E-02  2.2650856E-01  3.1641687E-01  5.6379578E-01  5.7019253E-01  1.2065522E+01  6.3047472E-01  6.6477451E-01  3.1632591E-01  2.2650856E-01  5.1321273E-02  0.0000000E+00  1.8261093E-02
  0.0000000E+00  8.0728412E-02  2.5404783E-01  3.4316205E-01  5.8891543E-01  5.9556815E-01  1.2676170E+01  6.5711682E-01  6.9234024E-01  3.4307081E-01  2.5404783E-01  8.0728412E-02  0.0000000E+00  1.9700624E-02
  0.0000000E+00  1.0963618E-01  2.8117742E-01  3.6953415E-01  6.1372534E-01  6.2062521E-01  1.3253545E+01  6.8339542E-01  7.1951719E-01  3.6944268E-01  2.8117742E-01  1.0963618E-01  0.0000000E+00  2.1142492E-02
  0.0000000E+00  1.3801228E-01  3.0785742E-01  3.9549027E-01  6.3817782E-01  6.4531651E-01  1.3799676E+01  7.0926626E-01  7.4626254E-01  3.9539860E-01  3.0785742E-01  1.3801228E-01  0.0000000E+00  2.2586709E-02
  0.0000000E+00  1.6583452E-01  3.3405889E-01  4.2099885E-01  6.6223705E-01  6.6960672E-01  1.4316484E+01  7.3469669E-01  7.7254487E-01  4.2090701E-01  3.3405889E-01  1.6583452E-01  0.0000000E+00  2.4033284E-02
  0.0000000E+00  1.9308867E-01  3.5976165E-01  4.4603740E-01  6.8587673E-01  6.9346995E-01  1.4805780E+01  7.5966323E-01  7.9834193E-01  4.4594543E-01  3.5976165E-01  1.9308867E-01  0.0000000E+00  2.5482230E-02
  0.0000000E+00  2.1976680E-01  3.8495251E-01  4.7059063E-01  7.0907817E-01  7.1688790E-01  1.5269259E+01  7.8414979E-01  8.2363871E-01  4.7049855E-01  3.8495251E-01  2.1976680E-01  0.0000000E+00  2.6933557E-02
  0.0000000E+00  2.4586596E-01  4.0962378E-01  4.9464902E-01  7.3182876E-01  7.3984834E-01  1.5708511E+01  8.0814613E-01  8.4842599E-01  4.9455685E-01  4.0962378E-01  2.4586596E-01  0.0000000E+00  2.8387278E-02
  0.0000000E+00  2.7138710E-01  4.3377219E-01  5.1820760E-01  7.5412080E-01  7.6234387E-01  1.6125017E+01  8.3164671E-01  8.7269915E-01  5.1811537E-01  4.3377219E-01  2.7138710E-01  0.0000000E+00  2.9843404E-02
  0.0000000E+00  2.9633423E-01  4.5739795E-01  5.4126510E-01  7.7595046E-01  7.8437101E-01  1.6520159E+01  8.5464972E-01  8.9645728E-01  5.4117283E-01  4.5739795E-01  2.9633423E-01  0.0000000E+00  3.1301946E-02
  0.0000000E+00  3.2071375E-01  4.8050404E-01  5.6382312E-01  7.9731707E-01  8.0592935E-01  1.6895223E+01  8.7715632E-01  9.1970232E-01  5.6373082E-01  4.8050404E-01  3.2071375E-01  0.0000000E+00  3.2762917E-02
  0.0000000E+00  3.4453390E-01  5.0309558E-01  5.8588554E-01  8.1822244E-01  8.2702096E-01  1.7251409E+01  8.9917000E-01  9.4243855E-01  5.8579324E-01  5.0309558E-01  3.4453390E-01  0.0000000E+00  3.4226327E-02
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  0.0000000E+00  3.9053564E-01  5.4676356E-01  6.2854776E-01  8.5866614E-01  8.6782167E-01  1.7911528E+01  9.4174147E-01  9.8641018E-01  6.2845548E-01  5.4676356E-01  3.9053564E-01  0.0000000E+00  3.7160515E-02
  0.0000000E+00  4.1273936E-01  5.6785723E-01  6.4916280E-01  8.7821635E-01  8.8754308E-01  1.8217467E+01  9.6231394E-01  1.0076616E+00  6.4907056E-01  5.6785723E-01  4.1273936E-01  0.0000000E+00  3.8631317E-02
  0.0000000E+00  4.3442745E-01  5.8847021E-01  6.6931215E-01  8.9732848E-01  9.0682182E-01  1.8508549E+01  9.8242228E-01  1.0284355E+00  6.6921995E-01  5.8847021E-01  4.3442745E-01  0.0000000E+00  4.0104607E-02
  0.0000000E+00  4.5561225E-01  6.0861287E-01  6.8900537E-01  9.1601072E-01  9.2566627E-01  1.8785612E+01  1.0020759E+00  1.0487418E+00  6.8891324E-01  6.0861287E-01  4.5561225E-01  0.0000000E+00  4.1580397E-02
  0.0000000E+00  4.7630628E-01  6.2829594E-01  7.0825247E-01  9.3427180E-01  9.4408532E-01  1.9049439E+01  1.0212845E+00  1.0685910E+00  7.0816040E-01  6.2829594E-01  4.7630628E-01  0.0000000E+00  4.3058699E-02
  1.2618648E-02  4.9652184E-01  6.4752987E-01  7.2706731E-01  9.5212414E-01  9.6209159E-01  1.9279283E+01  1.0400619E+00  1.0879973E+00  7.2697532E-01  6.4752987E-01  4.9652184E-01  1.2618648E-02  4.4534844E-02
  3.6307654E-02  5.1626526E-01  6.6631796E-01  7.4545168E-01  9.6956697E-01  9.7968472E-01  1.9478835E+01  1.0584096E+00  1.1069637E+00  7.4535978E-01  6.6631796E-01  5.1626526E-01  3.6307654E-02  4.6009987E-02
  5.9423508E-02  5.3554773E-01  6.8466981E-01  7.6341080E-01  9.8660442E-01  9.9686899E-01  1.9668612E+01  1.0763328E+00  1.1254959E+00  7.6331899E-01  6.8466981E-01  5.3554773E-01  5.9423508E-02  4.7488652E-02
  8.1984406E-02  5.5438197E-01  7.0259703E-01  7.8095578E-01  1.0032468E+00  1.0136548E+00  1.9849116E+01  1.0938425E+00  1.1436051E+00  7.8086407E-01  7.0259703E-01  5.5438197E-01  8.1984406E-02  4.8970863E-02
  1.0400792E-01  5.7278045E-01  7.2011100E-01  7.9809761E-01  1.0195044E+00  1.0300526E+00  2.0020822E+01  1.1109495E+00  1.1613026E+00  7.9800601E-01  7.2011100E-01  5.7278045E-01  1.0400792E-01  5.0456644E-02
  1.2551101E-01  5.9075538E-01  7.3722294E-01  8.1484709E-01  1.0353873E+00  1.0460725E+00  2.0184175E+01  1.1276646E+00  1.1785994E+00  8.1475561E-01  7.3722294E-01  5.9075538E-01  1.2551101E-01  5.1946018E-02
  1.4651003E-01  6.0831867E-01  7.5394383E-01  8.3121483E-01  1.0509055E+00  1.0617245E+00  2.0339593E+01  1.1439983E+00  1.1955063E+00  8.3112346E-01  7.5394383E-01  6.0831867E-01  1.4651003E-01  5.3439009E-02
  1.6702076E-01  6.2548193E-01  7.7028441E-01  8.4721119E-01  1.0660686E+00  1.0770185E+00  2.0487470E+01  1.1599609E+00  1.2120338E+00  8.4711996E-01  7.7028441E-01  6.2548193E-01  1.6702076E-01  5.4935640E-02
  1.8705838E-01  6.4225647E-01  7.8625515E-01  8.6284634E-01  1.0808863E+00  1.0919642E+00  2.0628178E+01  1.1755625E+00  1.2281923E+00  8.6275524E-01  7.8625515E-01  6.4225647E-01  1.8705838E-01  5.6435937E-02
  2.0663756E-01  6.5865328E-01  8.0186628E-01  8.7813017E-01  1.0953679E+00  1.1065710E+00  2.0762067E+01  1.1908129E+00  1.2439919E+00  8.7803921E-01  8.0186628E-01  6.5865328E-01  2.0663756E-01  5.7939924E-02
  2.2577239E-01  6.7468304E-01  8.1712776E-01  8.9307235E-01  1.1095225E+00  1.1208480E+00  2.0889466E+01  1.2057219E+00  1.2594424E+00  8.9298153E-01  8.1712776E-01  6.7468304E-01  2.2577239E-01  5.9447625E-02
  2.4447649E-01  6.9035612E-01  8.3204926E-01  9.0768228E-01  1.1233591E+00  1.1348044E+00  2.1010687E+01  1.2202987E+00  1.2745535E+00  9.0759160E-01  8.3204926E-01  6.9035612E-01  2.4447649E-01  6.0959067E-02
  2.6276295E-01  7.0568259E-01  8.4664020E-01  9.2196910E-01  1.1368863E+00  1.1484487E+00  2.1126022E+01  1.2345524E+00  1.2893345E+00  9.2187858E-01  8.4664020E-01  7.0568259E-01  2.6276295E-01  6.2474273E-02
  2.8064438E-01  7.2067220E-01  8.6090973E-01  9.3594172E-01  1.1501126E+00  1.1617896E+00  2.1235749E+01  1.2484919E+00  1.3037943E+00  9.3585136E-01  8.6090973E-01  7.2067220E-01  2.8064438E-01  6.3993271E-02
  2.9813292E-01  7.3533440E-01  8.7486671E-01  9.4960878E-01  1.1630462E+00  1.1748354E+00  2.1340130E+01  1.2621259E+00  1.3179419E+00  9.4951857E-01  8.7486671E-01  7.3533440E-01  2.9813292E-01  6.5516084E-02
  3.1524030E-01  7.4967835E-01  8.8851977E-01  9.6297864E-01  1.1756950E+00  1.1875939E+00  2.1439411E+01  1.2754626E+00  1.3317858E+00  9.6288860E-01  8.8851977E-01  7.4967835E-01  3.1524030E-01  6.7042741E-02
  3.3197779E-01  7.6371292E-01  9.0187724E-01  9.7605947E-01  1.1880669E+00  1.2000731E+00  2.1533827E+01  1.2885102E+00  1.3453343E+00  9.7596959E-01  9.0187724E-01  7.6371292E-01  3.3197779E-01  6.8573267E-02
  3.4835626E-01  7.7744669E-01  9.1494722E-01  9.8885914E-01  1.2001693E+00  1.2122806E+00  2.1623600E+01  1.3012766E+00  1.3585953E+00  9.8876943E-01  9.1494722E-01  7.7744669E-01  3.4835626E-01  7.0107689E-02
  3.6438616E-01  7.9088799E-01  9.2773757E-01  1.0013853E+00  1.2120095E+00  1.2242237E+00  2.1708937E+01  1.3137694E+00  1.3715769E+00  1.0012958E+00  9.2773757E-01  7.9088799E-01  3.6438616E-01  7.1646034E-02
  3.8007760E-01  8.0404484E-01  9.4025588E-01  1.0136454E+00  1.2235948E+00  1.2359096E+00  2.1790039E+01  1.3259959E+00  1.3842864E+00  1.0135561E+00  9.4025588E-01  8.0404484E-01  3.8007760E-01  7.3188329E-02
  3.9544030E-01  8.1692504E-01  9.5250952E-01  1.0256466E+00  1.2349318E+00  1.2473451E+00  2.1867093E+01  1.3379635E+00  1.3967312E+00  1.0255575E+00  9.5250952E-01  8.1692504E-01  3.9544030E-01  7.4734602E-02
  4.1048363E-01  8.2953612E-01  9.6450561E-01  1.0373959E+00  1.2460273E+00  1.2585370E+00  2.1940278E+01  1.3496790E+00  1.4089185E+00  1.0373069E+00  9.6450561E-01  8.2953612E-01  4.1048363E-01  7.6284880E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.5370780E-02  3.0270371E-01  3.0753622E-01  3.0625259E+00  3.6198493E-01  3.9069896E-01  5.5263989E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.4642537E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.1032112E-02  3.1895762E-01  3.2430132E-01  4.0357239E+00  3.8123794E-01  4.1165983E-01  7.0941684E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.8919159E-03
  0.0000000E+00  0.0000000E+00  3.5680825E-03  9.1283945E-02  3.3714962E-01  3.4296984E-01  4.9453359E+00  4.0221185E-01  4.3424344E-01  9.1185583E-02  3.5680825E-03  0.0000000E+00  0.0000000E+00  6.6079635E-03
  0.0000000E+00  0.0000000E+00  2.6882477E-02  1.1332638E-01  3.5660841E-01  3.6287621E-01  5.7726740E+00  4.2427370E-01  4.5783352E-01  1.1322747E-01  2.6882477E-02  0.0000000E+00  0.0000000E+00  7.8915301E-03
  0.0000000E+00  0.0000000E+00  5.0732594E-02  1.3600072E-01  3.7686442E-01  3.8355473E-01  6.5459886E+00  4.4697984E-01  4.8199740E-01  1.3590139E-01  5.0732594E-02  0.0000000E+00  0.0000000E+00  9.1769309E-03
  0.0000000E+00  0.0000000E+00  7.4815695E-02  1.5899146E-01  3.9758190E-01  4.0467208E-01  7.2682741E+00  4.7001080E-01  5.0642192E-01  1.5889180E-01  7.4815695E-02  0.0000000E+00  0.0000000E+00  1.0464173E-02
  0.0000000E+00  0.0000000E+00  9.8910370E-02  1.8206677E-01  4.1851236E-01  4.2598184E-01  7.9428171E+00  4.9313189E-01  5.3087786E-01  1.8196687E-01  9.8910370E-02  0.0000000E+00  0.0000000E+00  1.1753266E-02
  0.0000000E+00  0.0000000E+00  1.2285477E-01  2.0505622E-01  4.3947143E-01  4.4730150E-01  8.5729504E+00  5.1617056E-01  5.5519748E-01  2.0495614E-01  1.2285477E-01  0.0000000E+00  0.0000000E+00  1.3044216E-02
  0.0000000E+00  0.0000000E+00  1.4653106E-01  2.2783479E-01  4.6032239E-01  4.6849589E-01  9.1619170E+00  5.3900023E-01  5.7925845E-01  2.2773460E-01  1.4653106E-01  0.0000000E+00  0.0000000E+00  1.4337031E-02
  0.0000000E+00  1.7866824E-02  1.6985237E-01  2.5030929E-01  4.8096021E-01  4.8946172E-01  9.6858013E+00  5.6152660E-01  6.0297140E-01  2.5020905E-01  1.6985237E-01  1.7866824E-02  0.0000000E+00  1.5631244E-02
  0.0000000E+00  4.2566132E-02  1.9275481E-01  2.7240832E-01  5.0130039E-01  5.1011649E-01  1.0165184E+01  5.8367755E-01  6.2627054E-01  2.7230806E-01  1.9275481E-01  4.2566132E-02  0.0000000E+00  1.6927312E-02
  0.0000000E+00  6.6715578E-02  2.1519817E-01  2.9408744E-01  5.2129190E-01  5.3041012E-01  1.0613792E+01  6.0540797E-01  6.4911335E-01  2.9398721E-01  2.1519817E-01  6.6715578E-02  0.0000000E+00  1.8225468E-02
  0.0000000E+00  9.0296107E-02  2.3715533E-01  3.1531618E-01  5.4089871E-01  5.5030741E-01  1.1033866E+01  6.2668689E-01  6.7147097E-01  3.1521602E-01  2.3715533E-01  9.0296107E-02  0.0000000E+00  1.9525723E-02
  0.0000000E+00  1.1329749E-01  2.5860899E-01  3.3607432E-01  5.6009569E-01  5.6978396E-01  1.1427481E+01  6.4749369E-01  6.9332476E-01  3.3597425E-01  2.5860899E-01  1.1329749E-01  0.0000000E+00  2.0828084E-02
  0.0000000E+00  1.3571621E-01  2.7954942E-01  3.5634953E-01  5.7886615E-01  5.8882375E-01  1.1796548E+01  6.6781576E-01  7.1466389E-01  3.5624958E-01  2.7954942E-01  1.3571621E-01  0.0000000E+00  2.2132563E-02
  0.0000000E+00  1.5755392E-01  2.9997276E-01  3.7613565E-01  5.9720000E-01  6.0741730E-01  1.2142830E+01  6.8764671E-01  7.3548362E-01  3.7603584E-01  2.9997276E-01  1.5755392E-01  0.0000000E+00  2.3439169E-02
  0.0000000E+00  1.7881609E-01  3.1987961E-01  3.9543123E-01  6.1509232E-01  6.2556025E-01  1.2467947E+01  7.0698495E-01  7.5578388E-01  3.9533159E-01  3.1987961E-01  1.7881609E-01  0.0000000E+00  2.4747912E-02
  0.0000000E+00  1.9951113E-01  3.3927401E-01  4.1423848E-01  6.3254212E-01  6.4325213E-01  1.2773388E+01  7.2583257E-01  7.7556814E-01  4.1413901E-01  3.3927401E-01  1.9951113E-01  0.0000000E+00  2.6058802E-02
  0.0000000E+00  2.1964957E-01  3.5816259E-01  4.3256237E-01  6.4955155E-01  6.6049554E-01  1.3060519E+01  7.4419447E-01  7.9484262E-01  4.3246311E-01  3.5816259E-01  2.1964957E-01  0.0000000E+00  2.7371850E-02
  0.0000000E+00  2.3924351E-01  3.7655394E-01  4.5041001E-01  6.6612509E-01  6.7729542E-01  1.3330600E+01  7.6207773E-01  8.1361558E-01  4.5031097E-01  3.7655394E-01  2.3924351E-01  0.0000000E+00  2.8687066E-02
  0.0000000E+00  2.5830615E-01  3.9445808E-01  4.6779008E-01  6.8226907E-01  6.9365846E-01  1.3584785E+01  7.7949099E-01  8.3189677E-01  4.6769127E-01  3.9445808E-01  2.5830615E-01  0.0000000E+00  3.0004459E-02
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  0.0000000E+00  2.9489362E-01  4.2884966E-01  5.0118767E-01  7.1330003E-01  7.2510723E-01  1.4049641E+01  8.1294770E-01  8.6702809E-01  5.0108934E-01  4.2884966E-01  2.9489362E-01  0.0000000E+00  3.2645820E-02
  0.0000000E+00  3.1244744E-01  4.4536110E-01  5.1722707E-01  7.2820511E-01  7.4021170E-01  1.4262193E+01  8.2901308E-01  8.8390201E-01  5.1712901E-01  4.4536110E-01  3.1244744E-01  0.0000000E+00  3.3969808E-02
  0.0000000E+00  3.2952753E-01  4.6143291E-01  5.3284221E-01  7.4271631E-01  7.5491634E-01  1.4462628E+01  8.4465183E-01  9.0033127E-01  5.3274441E-01  4.6143291E-01  3.2952753E-01  0.0000000E+00  3.5296017E-02
  0.0000000E+00  3.4614850E-01  4.7707771E-01  5.4804485E-01  7.5684385E-01  7.6923166E-01  1.4651714E+01  8.5987578E-01  9.1632847E-01  5.4794734E-01  4.7707771E-01  3.4614850E-01  0.0000000E+00  3.6624455E-02
  0.0000000E+00  3.6232478E-01  4.9230811E-01  5.6284685E-01  7.7059817E-01  7.8316833E-01  1.4830160E+01  8.7469681E-01  9.3190623E-01  5.6274962E-01  4.9230811E-01  3.6232478E-01  0.0000000E+00  3.7955135E-02
  0.0000000E+00  3.7807059E-01  5.0713666E-01  5.7726001E-01  7.8398974E-01  7.9673707E-01  1.4998624E+01  8.8912679E-01  9.4707710E-01  5.7716307E-01  5.0713666E-01  3.7807059E-01  0.0000000E+00  3.9288066E-02
  9.7117095E-03  3.9339948E-01  5.2157521E-01  5.9129920E-01  7.9703192E-01  8.0995151E-01  1.5140829E+01  9.0318062E-01  9.6185685E-01  5.9120255E-01  5.2157521E-01  3.9339948E-01  9.7117095E-03  4.0618986E-02
  2.7903414E-02  4.0831974E-01  5.3562928E-01  6.0496847E-01  8.0972611E-01  8.2281351E-01  1.5259736E+01  9.1686245E-01  9.7625132E-01  6.0487212E-01  5.3562928E-01  4.0831974E-01  2.7903414E-02  4.1948939E-02
  4.5604573E-02  4.2284338E-01  5.4930944E-01  6.1827442E-01  8.2207779E-01  8.3532875E-01  1.5371502E+01  9.3017890E-01  9.9026775E-01  6.1817838E-01  5.4930944E-01  4.2284338E-01  4.5604573E-02  4.3282050E-02
  6.2832793E-02  4.3698342E-01  5.6262764E-01  6.3122854E-01  8.3409761E-01  8.4750803E-01  1.5476537E+01  9.4314151E-01  1.0039181E+00  6.3113281E-01  5.6262764E-01  4.3698342E-01  6.2832793E-02  4.4618340E-02
  7.9604939E-02  4.5075242E-01  5.7559549E-01  6.4384200E-01  8.4579597E-01  8.5936189E-01  1.5575225E+01  9.5576150E-01  1.0172141E+00  6.4374658E-01  5.7559549E-01  4.5075242E-01  7.9604939E-02  4.5957829E-02
  9.5937158E-02  4.6416254E-01  5.8822420E-01  6.5612564E-01  8.5718297E-01  8.7090058E-01  1.5667923E+01  9.6804974E-01  1.0301669E+00  6.5603054E-01  5.8822420E-01  4.6416254E-01  9.5937158E-02  4.7300538E-02
  1.1184491E-01  4.7722550E-01  6.0052465E-01  6.6808995E-01  8.6826842E-01  8.8213401E-01  1.5754965E+01  9.8001677E-01  1.0427875E+00  6.6799517E-01  6.0052465E-01  4.7722550E-01  1.1184491E-01  4.8646489E-02
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  1.4244564E-01  5.0235480E-01  6.2418242E-01  6.9110086E-01  8.8957236E-01  9.0372334E-01  1.5913314E+01  1.0030277E+00  1.0670737E+00  6.9100673E-01  6.2418242E-01  5.0235480E-01  1.4244564E-01  5.1348198E-02
  1.5716636E-01  5.1444254E-01  6.3555968E-01  7.0216677E-01  8.9980896E-01  9.1409756E-01  1.5985188E+01  1.0140910E+00  1.0787595E+00  7.0207296E-01  6.3555968E-01  5.1444254E-01  1.5716636E-01  5.2704000E-02
  1.7151819E-01  5.2622598E-01  6.4664857E-01  7.1295197E-01  9.0978023E-01  9.2420321E-01  1.6052542E+01  1.0248718E+00  1.0901532E+00  7.1285850E-01  6.4664857E-01  5.2622598E-01  1.7151819E-01  5.4063129E-02
  1.8551359E-01  5.3771487E-01  6.5745822E-01  7.2346531E-01  9.1949449E-01  9.3404871E-01  1.6115618E+01  1.0353792E+00  1.1012639E+00  7.2337217E-01  6.5745822E-01  5.3771487E-01  1.8551359E-01  5.5425607E-02
  1.9916449E-01  5.4891859E-01  6.6799741E-01  7.3371533E-01  9.2895978E-01  9.4364218E-01  1.6174642E+01  1.0456216E+00  1.1121006E+00  7.3362252E-01  6.6799741E-01  5.4891859E-01  1.9916449E-01  5.6791457E-02
  2.1248233E-01  5.5984617E-01  6.7827462E-01  7.4371024E-01  9.3818385E-01  9.5299148E-01  1.6229827E+01  1.0556073E+00  1.1226718E+00  7.4361777E-01  6.7827462E-01  5.5984617E-01  2.1248233E-01  5.8160700E-02
  2.2547809E-01  5.7050633E-01  6.8829801E-01  7.5345799E-01  9.4717420E-01  9.6210418E-01  1.6281371E+01  1.0653444E+00  1.1329857E+00  7.5336585E-01  6.8829801E-01  5.7050633E-01  2.2547809E-01  5.9533360E-02
  2.3816226E-01  5.8090743E-01  6.9807546E-01  7.6296622E-01  9.5593804E-01  9.7098758E-01  1.6329462E+01  1.0748404E+00  1.1430502E+00  7.6287442E-01  6.9807546E-01  5.8090743E-01  2.3816226E-01  6.0909460E-02
  2.5054494E-01  5.9105753E-01  7.0761455E-01  7.7224232E-01  9.6448236E-01  9.7964874E-01  1.6374278E+01  1.0841029E+00  1.1528731E+00  7.7215086E-01  7.0761455E-01  5.9105753E-01  2.5054494E-01  6.2289022E-02
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  2.7444411E-01  6.1063550E-01  7.2600660E-01  7.9012629E-01  9.8093907E-01  9.9633128E-01  1.6454736E+01  1.1019554E+00  1.1718230E+00  7.9003550E-01  7.2600660E-01  6.1063550E-01  2.7444411E-01  6.5058630E-02
  2.8597879E-01  6.2007803E-01  7.3487339E-01  7.9874762E-01  9.8886420E-01  1.0043655E+00  1.6490683E+01  1.1105590E+00  1.1809641E+00  7.9865717E-01  7.3487339E-01  6.2007803E-01  2.8597879E-01  6.6448723E-02
  2.9724838E-01  6.2929891E-01  7.4352949E-01  8.0716375E-01  9.9659530E-01  1.0122033E+00  1.6523964E+01  1.1189560E+00  1.1898914E+00  8.0707364E-01  7.4352949E-01  6.2929891E-01  2.9724838E-01  6.7842374E-02
  3.0826109E-01  6.3830481E-01  7.5198119E-01  8.1538082E-01  1.0041382E+00  1.0198505E+00  1.6554709E+01  1.1271528E+00  1.1986114E+00  8.1529104E-01  7.5198119E-01  6.3830481E-01  3.0826109E-01  6.9239607E-02
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.2379493E-02  2.9236187E-01  3.0019172E-01  3.7840596E+00  3.7074683E-01  4.0899069E-01  6.2276641E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  5.8381533E-03
  0.0000000E+00  0.0000000E+00  3.1720878E-03  8.0508010E-02  3.0816388E-01  3.1657971E-01  4.5221715E+00  3.8979351E-01  4.3003423E-01  8.0398279E-02  3.1720878E-03  0.0000000E+00  0.0000000E+00  6.5236251E-03
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  0.0000000E+00  1.5977743E-01  2.7751552E-01  3.4270908E-01  5.4138695E-01  5.5550753E-01  1.0280403E+01  6.5483209E-01  7.1632969E-01  3.4260496E-01  2.7751552E-01  1.5977743E-01  0.0000000E+00  2.3947899E-02
  0.0000000E+00  1.7543621E-01  2.9204399E-01  3.5670471E-01  5.5400850E-01  5.6838867E-01  1.0468557E+01  6.6892736E-01  7.3148741E-01  3.5660114E-01  2.9204399E-01  1.7543621E-01  0.0000000E+00  2.5124045E-02
  0.0000000E+00  1.9059697E-01  3.0611783E-01  3.7026588E-01  5.6623873E-01  5.8086887E-01  1.0643591E+01  6.8258020E-01  7.4617302E-01  3.7016287E-01  3.0611783E-01  1.9059697E-01  0.0000000E+00  2.6302120E-02
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  0.0000000E+00  2.9599109E-01  4.0407797E-01  4.6471601E-01  6.5133074E-01  6.6767192E-01  1.1673965E+01  7.7752237E-01  8.4846994E-01  4.6461759E-01  4.0407797E-01  2.9599109E-01  0.0000000E+00  3.5797270E-02
  7.3669432E-03  3.0741684E-01  4.1470279E-01  4.7496607E-01  6.6054564E-01  6.7707047E-01  1.1753435E+01  7.8780854E-01  8.5957884E-01  4.7486823E-01  4.1470279E-01  3.0741684E-01  7.3669432E-03  3.6989226E-02
  2.1134781E-02  3.1849765E-01  4.2500474E-01  4.8490695E-01  6.6947476E-01  6.8617788E-01  1.1815378E+01  7.9778081E-01  8.7035684E-01  4.8480969E-01  4.2500474E-01  3.1849765E-01  2.1134781E-02  3.8180237E-02
  3.4491587E-02  3.2924550E-01  4.3499450E-01  4.9454570E-01  6.7812395E-01  6.9500027E-01  1.1872360E+01  8.0744645E-01  8.8081201E-01  4.9444900E-01  4.3499450E-01  3.2924550E-01  3.4491587E-02  3.9374059E-02
  4.7453745E-02  3.3967291E-01  4.4468362E-01  5.0389343E-01  6.8650345E-01  7.0354806E-01  1.1924702E+01  8.1681676E-01  8.9095624E-01  5.0379731E-01  4.4468362E-01  3.3967291E-01  4.7453745E-02  4.0570709E-02
  6.0036836E-02  3.4979189E-01  4.5408320E-01  5.1296083E-01  6.9462310E-01  7.1183129E-01  1.1972699E+01  8.2590261E-01  9.0080096E-01  5.1286528E-01  4.5408320E-01  3.4979189E-01  6.0036836E-02  4.1770207E-02
  7.2255687E-02  3.5961392E-01  4.6320388E-01  5.2175815E-01  7.0249235E-01  7.1985961E-01  1.2016626E+01  8.3471441E-01  9.1035710E-01  5.2166318E-01  4.6320388E-01  3.5961392E-01  7.2255687E-02  4.2972569E-02
  8.4124404E-02  3.6914998E-01  4.7205586E-01  5.3029523E-01  7.1012030E-01  7.2764226E-01  1.2056738E+01  8.4326215E-01  9.1963516E-01  5.3020083E-01  4.7205586E-01  3.6914998E-01  8.4124404E-02  4.4177814E-02
  9.5656420E-02  3.7841059E-01  4.8064888E-01  5.3858150E-01  7.1751567E-01  7.3518815E-01  1.2093271E+01  8.5155543E-01  9.2864521E-01  5.3848766E-01  4.8064888E-01  3.7841059E-01  9.5656420E-02  4.5385961E-02
  1.0686452E-01  3.8740580E-01  4.8899233E-01  5.4662599E-01  7.2468684E-01  7.4250580E-01  1.2126447E+01  8.5960343E-01  9.3739688E-01  5.4653272E-01  4.8899233E-01  3.8740580E-01  1.0686452E-01  4.6597028E-02
  1.1776089E-01  3.9614524E-01  4.9709515E-01  5.5443738E-01  7.3164184E-01  7.4960338E-01  1.2156470E+01  8.6741494E-01  9.4589940E-01  5.5434467E-01  4.9709515E-01  3.9614524E-01  1.1776089E-01  4.7811034E-02
  1.2835712E-01  4.0463810E-01  5.0496594E-01  5.6202396E-01  7.3838839E-01  7.5648875E-01  1.2183531E+01  8.7499841E-01  9.5416162E-01  5.6193181E-01  5.0496594E-01  4.0463810E-01  1.2835712E-01  4.9027999E-02
  1.3866430E-01  4.1289319E-01  5.1261292E-01  5.6939369E-01  7.4493387E-01  7.6316942E-01  1.2207808E+01  8.8236192E-01  9.6219202E-01  5.6930210E-01  5.1261292E-01  4.1289319E-01  1.3866430E-01  5.0247940E-02
  1.4869297E-01  4.2091893E-01  5.2004396E-01  5.7655420E-01  7.5128539E-01  7.6965261E-01  1.2229468E+01  8.8951321E-01  9.6999872E-01  5.7646317E-01  5.2004396E-01  4.2091893E-01  1.4869297E-01  5.1470879E-02
  1.5845320E-01  4.2872339E-01  5.2726660E-01  5.8351280E-01  7.5744972E-01  7.7594524E-01  1.2248666E+01  8.9645971E-01  9.7758950E-01  5.8342232E-01  5.2726660E-01  4.2872339E-01  1.5845320E-01  5.2696834E-02
  1.6795458E-01  4.3631428E-01  5.3428808E-01  5.9027649E-01  7.6343341E-01  7.8205393E-01  1.2265546E+01  9.0320853E-01  9.8497181E-01  5.9018655E-01  5.3428808E-01  4.3631428E-01  1.6795458E-01  5.3925825E-02
  1.7720629E-01  4.4369899E-01  5.4111531E-01  5.9685198E-01  7.6924269E-01  7.8798506E-01  1.2280244E+01  9.0976648E-01  9.9215281E-01  5.9676259E-01  5.4111531E-01  4.4369899E-01  1.7720629E-01  5.5157872E-02
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  1.9499536E-01  4.5787787E-01  5.5421333E-01  6.0946384E-01  7.8036182E-01  7.9933872E-01  1.2303593E+01  9.2233568E-01  1.0059380E+00  6.0937554E-01  5.5421333E-01  4.5787787E-01  1.9499536E-01  5.7631216E-02
  2.0354908E-01  4.6468531E-01  5.6049656E-01  6.1551230E-01  7.8568293E-01  8.0477273E-01  1.2312475E+01  9.2835920E-01  1.0125550E+00  6.1542454E-01  5.6049656E-01  4.6468531E-01  2.0354908E-01  5.8872554E-02
  2.1188591E-01  4.7131313E-01  5.6661050E-01  6.2139677E-01  7.9085221E-01  8.1005210E-01  1.2319635E+01  9.3421643E-01  1.0189964E+00  6.2130954E-01  5.6661050E-01  4.7131313E-01  2.1188591E-01  6.0117030E-02
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  2.2793783E-01  4.8405353E-01  5.7835266E-01  6.3269525E-01  8.0075541E-01  8.2016740E-01  1.2329179E+01  9.4545389E-01  1.0313756E+00  6.3260909E-01  5.7835266E-01  4.8405353E-01  2.2793783E-01  6.2615482E-02
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  0.0000000E+00  0.0000000E+00  2.7777322E-03  6.9971862E-02  2.7843508E-01  2.9048264E-01  4.1004820E+00  3.8059540E-01  4.3161686E-01  6.9852624E-02  2.7777322E-03  0.0000000E+00  0.0000000E+00  6.5742594E-03
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  0.0000000E+00  0.0000000E+00  3.8064371E-02  1.0304721E-01  3.0587664E-01  3.1915968E-01  5.0644683E+00  4.1463686E-01  4.7012256E-01  1.0292966E-01  3.8064371E-02  0.0000000E+00  0.0000000E+00  8.6189632E-03
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  0.0000000E+00  5.8794068E-02  1.6215261E-01  2.2079908E-01  4.0659946E-01  4.2344001E-01  7.4202683E+00  5.3482130E-01  6.0423435E-01  2.2068949E-01  1.6215261E-01  5.8794068E-02  0.0000000E+00  1.6854859E-02
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  0.0000000E+00  1.8155298E-01  2.7445934E-01  3.2800444E-01  4.9908964E-01  5.1872134E-01  8.6551236E+00  6.4327093E-01  7.2506408E-01  3.2790492E-01  2.7445934E-01  1.8155298E-01  0.0000000E+00  2.7294025E-02
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  5.4938222E-03  2.3629500E-01  3.2456794E-01  3.7584724E-01  5.4007505E-01  5.6089643E-01  8.9999434E+00  6.9133335E-01  7.7894910E-01  3.7575335E-01  3.2456794E-01  2.3629500E-01  5.4938222E-03  3.3636665E-02
  1.5736342E-02  2.4435685E-01  3.3193820E-01  3.8288467E-01  5.4607102E-01  5.6706616E-01  9.0233514E+00  6.9838109E-01  7.8688236E-01  3.8279169E-01  3.3193820E-01  2.4435685E-01  1.5736342E-02  3.4694286E-02
  2.5642157E-02  2.5214625E-01  3.3905486E-01  3.8967788E-01  5.5184673E-01  5.7300978E-01  9.0435449E+00  7.0517819E-01  7.9454475E-01  3.8958580E-01  3.3905486E-01  2.5214625E-01  2.5642157E-02  3.5754387E-02
  3.5225978E-02  2.5967473E-01  3.4592853E-01  3.9623710E-01  5.5741139E-01  5.7873677E-01  9.0607594E+00  7.1173520E-01  8.0194758E-01  3.9614590E-01  3.4592853E-01  2.5967473E-01  3.5225978E-02  3.6816981E-02
  4.4501714E-02  2.6695321E-01  3.5256934E-01  4.0257203E-01  5.6277380E-01  5.8425617E-01  9.0752118E+00  7.1806212E-01  8.0910161E-01  4.0248171E-01  3.5256934E-01  2.6695321E-01  4.4501714E-02  3.7882086E-02
  5.3482523E-02  2.7399209E-01  3.5898689E-01  4.0869193E-01  5.6794233E-01  5.8957658E-01  9.0871016E+00  7.2416849E-01  8.1601705E-01  4.0860248E-01  3.5898689E-01  2.7399209E-01  5.3482523E-02  3.8949715E-02
  6.2180856E-02  2.8080124E-01  3.6519032E-01  4.1460559E-01  5.7292497E-01  5.9470620E-01  9.0966126E+00  7.3006337E-01  8.2270363E-01  4.1451701E-01  3.6519032E-01  2.8080124E-01  6.2180856E-02  4.0019886E-02
  7.0608507E-02  2.8739003E-01  3.7118834E-01  4.2032139E-01  5.7772930E-01  5.9965282E-01  9.1039147E+00  7.3575540E-01  8.2917061E-01  4.2023367E-01  3.7118834E-01  2.8739003E-01  7.0608507E-02  4.1092614E-02
  7.8776647E-02  2.9376736E-01  3.7698921E-01  4.2584730E-01  5.8236257E-01  6.0442389E-01  9.1091646E+00  7.4125277E-01  8.3542678E-01  4.2576042E-01  3.7698921E-01  2.9376736E-01  7.8776647E-02  4.2167915E-02
  8.6695868E-02  2.9994172E-01  3.8260079E-01  4.3119091E-01  5.8683166E-01  6.0902647E-01  9.1125069E+00  7.4656330E-01  8.4148052E-01  4.3110487E-01  3.8260079E-01  2.9994172E-01  8.6695868E-02  4.3245806E-02
  9.4376213E-02  3.0592116E-01  3.8803059E-01  4.3635944E-01  5.9114316E-01  6.1346730E-01  9.1140758E+00  7.5169442E-01  8.4733979E-01  4.3627422E-01  3.8803059E-01  3.0592116E-01  9.4376213E-02  4.4326303E-02
  1.0182722E-01  3.1171334E-01  3.9328574E-01  4.4135976E-01  5.9530332E-01  6.1775281E-01  9.1139952E+00  7.5665322E-01  8.5301219E-01  4.4127537E-01  3.9328574E-01  3.1171334E-01  1.0182722E-01  4.5409422E-02
  1.0905793E-01  3.1732555E-01  3.9837302E-01  4.4619845E-01  5.9931810E-01  6.2188911E-01  9.1123802E+00  7.6144644E-01  8.5850494E-01  4.4611487E-01  3.9837302E-01  3.1732555E-01  1.0905793E-01  4.6495181E-02
  1.1607695E-01  3.2276473E-01  4.0329892E-01  4.5088173E-01  6.0319320E-01  6.2588204E-01  9.1093373E+00  7.6608050E-01  8.6382494E-01  4.5079896E-01  4.0329892E-01  3.2276473E-01  1.1607695E-01  4.7583596E-02
  1.2289246E-01  3.2803751E-01  4.0806958E-01  4.5541557E-01  6.0693403E-01  6.2973715E-01  9.1049656E+00  7.7056153E-01  8.6897875E-01  4.5533360E-01  4.0806958E-01  3.2803751E-01  1.2289246E-01  4.8674684E-02
  1.2951221E-01  3.3315017E-01  4.1269089E-01  4.5980565E-01  6.1054578E-01  6.3345974E-01  9.0993568E+00  7.7489536E-01  8.7397262E-01  4.5972446E-01  4.1269089E-01  3.3315017E-01  1.2951221E-01  4.9768463E-02
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  1.5992162E-01  3.5651251E-01  4.3374459E-01  4.7978060E-01  6.2683326E-01  6.5025420E-01  9.0555477E+00  7.9454275E-01  8.9674263E-01  4.7970324E-01  4.3374459E-01  3.5651251E-01  1.5992162E-01  5.5278335E-02
  1.6551045E-01  3.6078134E-01  4.3757892E-01  4.8341354E-01  6.2976663E-01  6.5328023E-01  9.0441172E+00  7.9810182E-01  9.0089316E-01  4.8333692E-01  4.3757892E-01  3.6078134E-01  1.6551045E-01  5.6388630E-02
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  0.0000000E+00  4.6202726E-02  1.3059725E-01  1.8020728E-01  3.4377194E-01  3.6581623E-01  5.9641737E+00  4.9884110E-01  5.8543558E-01  1.8010077E-01  1.3059725E-01  4.6202726E-02  0.0000000E+00  1.5798157E-02
  0.0000000E+00  5.7376397E-02  1.4065487E-01  1.8970388E-01  3.5148247E-01  3.7385741E-01  6.0715553E+00  5.0850904E-01  5.9671628E-01  1.8959907E-01  1.4065487E-01  5.7376397E-02  0.0000000E+00  1.6709060E-02
  0.0000000E+00  6.8057379E-02  1.5027268E-01  1.9878654E-01  3.5885139E-01  3.8153760E-01  6.1676524E+00  5.1773820E-01  6.0749336E-01  1.9868340E-01  1.5027268E-01  6.8057379E-02  0.0000000E+00  1.7621414E-02
  0.0000000E+00  7.8270993E-02  1.5947170E-01  2.0747424E-01  3.6589246E-01  3.8887214E-01  6.2536166E+00  5.2654963E-01  6.1779220E-01  2.0737272E-01  1.5947170E-01  7.8270993E-02  0.0000000E+00  1.8535225E-02
  0.0000000E+00  8.8041583E-02  1.6827247E-01  2.1578568E-01  3.7261970E-01  3.9587646E-01  6.3304627E+00  5.3496390E-01  6.2763728E-01  2.1568578E-01  1.6827247E-01  8.8041583E-02  0.0000000E+00  1.9450500E-02
  0.0000000E+00  9.7392400E-02  1.7669484E-01  2.2373912E-01  3.7904714E-01  4.0256584E-01  6.3990878E+00  5.4300093E-01  6.3705208E-01  2.2364079E-01  1.7669484E-01  9.7392400E-02  0.0000000E+00  2.0367245E-02
  0.0000000E+00  1.0634555E-01  1.8475788E-01  2.3135217E-01  3.8518858E-01  4.0895521E-01  6.4602869E+00  5.5067984E-01  6.4605894E-01  2.3125539E-01  1.8475788E-01  1.0634555E-01  0.0000000E+00  2.1285466E-02
  0.0000000E+00  1.1492196E-01  1.9247981E-01  2.3864174E-01  3.9105748E-01  4.1505904E-01  6.5147661E+00  5.5801890E-01  6.5467911E-01  2.3854648E-01  1.9247981E-01  1.1492196E-01  0.0000000E+00  2.2205170E-02
  0.0000000E+00  1.2314144E-01  1.9987796E-01  2.4562399E-01  3.9666685E-01  4.2089126E-01  6.5631540E+00  5.6503549E-01  6.6293268E-01  2.4553022E-01  1.9987796E-01  1.2314144E-01  0.0000000E+00  2.3126364E-02
  0.0000000E+00  1.3102262E-01  2.0696877E-01  2.5231429E-01  4.0202919E-01  4.2646522E-01  6.6060121E+00  5.7174613E-01  6.7083863E-01  2.5222199E-01  2.0696877E-01  1.3102262E-01  0.0000000E+00  2.4049054E-02
  0.0000000E+00  1.3858308E-01  2.1376781E-01  2.5872724E-01  4.0715650E-01  4.3179364E-01  6.6438421E+00  5.7816642E-01  6.7841488E-01  2.5863638E-01  2.1376781E-01  1.3858308E-01  0.0000000E+00  2.4973246E-02
  0.0000000E+00  1.4583936E-01  2.2028977E-01  2.6487666E-01  4.1206021E-01  4.3688865E-01  6.6770942E+00  5.8431112E-01  6.8567829E-01  2.6478722E-01  2.2028977E-01  1.4583936E-01  0.0000000E+00  2.5898948E-02
  0.0000000E+00  1.5280702E-01  2.2654855E-01  2.7077565E-01  4.1675118E-01  4.4176175E-01  6.7061725E+00  5.9019416E-01  6.9264475E-01  2.7068760E-01  2.2654855E-01  1.5280702E-01  0.0000000E+00  2.6826166E-02
  0.0000000E+00  1.5950066E-01  2.3255725E-01  2.7643657E-01  4.2123976E-01  4.4642384E-01  6.7314410E+00  5.9582869E-01  6.9932922E-01  2.7634988E-01  2.3255725E-01  1.5950066E-01  0.0000000E+00  2.7754907E-02
  0.0000000E+00  1.6593403E-01  2.3832822E-01  2.8187108E-01  4.2553574E-01  4.5088525E-01  6.7532276E+00  6.0122710E-01  7.0574576E-01  2.8178574E-01  2.3832822E-01  1.6593403E-01  0.0000000E+00  2.8685177E-02
  0.0000000E+00  1.7212006E-01  2.4387309E-01  2.8709022E-01  4.2964842E-01  4.5515576E-01  6.7718286E+00  6.0640107E-01  7.1190760E-01  2.8700619E-01  2.4387309E-01  1.7212006E-01  0.0000000E+00  2.9616983E-02
  4.0149054E-03  1.7807062E-01  2.4920243E-01  2.9210649E-01  4.3358839E-01  4.5924644E-01  6.7799279E+00  6.1136369E-01  7.1782957E-01  2.9202376E-01  2.4920243E-01  1.7807062E-01  4.0149054E-03  3.0547108E-02
  1.1481263E-02  1.8379423E-01  2.5432274E-01  2.9692523E-01  4.3735788E-01  4.6316014E-01  6.7788979E+00  6.1612073E-01  7.2352021E-01  2.9684377E-01  2.5432274E-01  1.8379423E-01  1.1481263E-02  3.1476295E-02
  1.8678548E-02  1.8930099E-01  2.5924305E-01  3.0155258E-01  4.4096161E-01  4.6690196E-01  6.7759944E+00  6.2067883E-01  7.2898746E-01  3.0147238E-01  2.5924305E-01  1.8930099E-01  1.8678548E-02  3.2407643E-02
  2.5619524E-02  1.9460105E-01  2.6397271E-01  3.0599751E-01  4.4440745E-01  4.7048005E-01  6.7713797E+00  6.2504736E-01  7.3424168E-01  3.0591855E-01  2.6397271E-01  1.9460105E-01  2.5619524E-02  3.3341164E-02
  3.2316193E-02  1.9970397E-01  2.6852052E-01  3.1026846E-01  4.4770280E-01  4.7390212E-01  6.7652019E+00  6.2923519E-01  7.3929270E-01  3.1019072E-01  2.6852052E-01  1.9970397E-01  3.2316193E-02  3.4276873E-02
  3.8779849E-02  2.0461878E-01  2.7289482E-01  3.1437342E-01  4.5085468E-01  4.7717547E-01  6.7575960E+00  6.3325069E-01  7.4414976E-01  3.1429688E-01  2.7289482E-01  2.0461878E-01  3.8779849E-02  3.5214781E-02
  4.5021130E-02  2.0935400E-01  2.7710346E-01  3.1831993E-01  4.5386974E-01  4.8030698E-01  6.7486856E+00  6.3710176E-01  7.4882161E-01  3.1824457E-01  2.7710346E-01  2.0935400E-01  4.5021130E-02  3.6154904E-02
  5.1050062E-02  2.1391767E-01  2.8115388E-01  3.2211512E-01  4.5675424E-01  4.8330317E-01  6.7385836E+00  6.4079587E-01  7.5331650E-01  3.2204093E-01  2.8115388E-01  2.1391767E-01  5.1050062E-02  3.7097254E-02
  5.6876098E-02  2.1831740E-01  2.8505310E-01  3.2576574E-01  4.5951412E-01  4.8617018E-01  6.7273932E+00  6.4434007E-01  7.5764227E-01  3.2569270E-01  2.8505310E-01  2.1831740E-01  5.6876098E-02  3.8041846E-02
  6.2508161E-02  2.2256038E-01  2.8880777E-01  3.2927816E-01  4.6215501E-01  4.8891385E-01  6.7152094E+00  6.4774104E-01  7.6180628E-01  3.2920626E-01  2.8880777E-01  2.2256038E-01  6.2508161E-02  3.8988693E-02
  6.7954679E-02  2.2665341E-01  2.9242417E-01  3.3265845E-01  4.6468222E-01  4.9153970E-01  6.7021188E+00  6.5100512E-01  7.6581555E-01  3.3258766E-01  2.9242417E-01  2.2665341E-01  6.7954679E-02  3.9937809E-02
  7.3223616E-02  2.3060292E-01  2.9590827E-01  3.3591230E-01  4.6710079E-01  4.9405295E-01  6.6882014E+00  6.5413826E-01  7.6967669E-01  3.3584262E-01  2.9590827E-01  2.3060292E-01  7.3223616E-02  4.0889208E-02
  7.8322502E-02  2.3441501E-01  2.9926571E-01  3.3904516E-01  4.6941551E-01  4.9645855E-01  6.6735302E+00  6.5714616E-01  7.7339598E-01  3.3897656E-01  2.9926571E-01  2.3441501E-01  7.8322502E-02  4.1842906E-02
  8.3258467E-02  2.3809545E-01  3.0250183E-01  3.4206215E-01  4.7163090E-01  4.9876119E-01  6.6581726E+00  6.6003417E-01  7.7697937E-01  3.4199463E-01  3.0250183E-01  2.3809545E-01  8.3258467E-02  4.2798915E-02
  8.8038258E-02  2.4164972E-01  3.0562172E-01  3.4496815E-01  4.7375125E-01  5.0096531E-01  6.6421905E+00  6.6280738E-01  7.8043250E-01  3.4490169E-01  3.0562172E-01  2.4164972E-01  8.8038258E-02  4.3757251E-02
  9.2668270E-02  2.4508302E-01  3.0863017E-01  3.4776780E-01  4.7578065E-01  5.0307515E-01  6.6256410E+00  6.6547064E-01  7.8376074E-01  3.4770238E-01  3.0863017E-01  2.4508302E-01  9.2668270E-02  4.4717929E-02
  9.7154567E-02  2.4840026E-01  3.1153176E-01  3.5046548E-01  4.7772297E-01  5.0509471E-01  6.6085765E+00  6.6802852E-01  7.8696916E-01  3.5040109E-01  3.1153176E-01  2.4840026E-01  9.7154567E-02  4.5680963E-02
  1.0150290E-01  2.5160613E-01  3.1433084E-01  3.5306536E-01  4.7958186E-01  5.0702778E-01  6.5910455E+00  6.7048537E-01  7.9006260E-01  3.5300199E-01  3.1433084E-01  2.5160613E-01  1.0150290E-01  4.6646368E-02
  1.0571873E-01  2.5470508E-01  3.1703151E-01  3.5557142E-01  4.8136084E-01  5.0887798E-01  6.5730925E+00  6.7284535E-01  7.9304564E-01  3.5550904E-01  3.1703151E-01  2.5470508E-01  1.0571873E-01  4.7614160E-02
  1.0980725E-01  2.5770133E-01  3.1963770E-01  3.5798741E-01  4.8306321E-01  5.1064875E-01  6.5547588E+00  6.7511236E-01  7.9592266E-01  3.5792602E-01  3.1963770E-01  2.5770133E-01  1.0980725E-01  4.8584354E-02
  1.1377337E-01  2.6059890E-01  3.2215314E-01  3.6031692E-01  4.8469213E-01  5.1234334E-01  6.5360823E+00  6.7729017E-01  7.9869780E-01  3.6025652E-01  3.2215314E-01  2.6059890E-01  1.1377337E-01  4.9556965E-02
  1.1762180E-01  2.6340161E-01  3.2458137E-01  3.6256337E-01  4.8625061E-01  5.1396487E-01  6.5170982E+00  6.7938231E-01  8.0137503E-01  3.6250393E-01  3.2458137E-01  2.6340161E-01  1.1762180E-01  5.0532009E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.8424999E-02  1.9763571E-01  2.1959284E-01  2.5334949E+00  3.4611717E-01  4.2277507E-01  2.8262032E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.1766692E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.8739945E-02  2.0597486E-01  2.2880669E-01  2.9078964E+00  3.5929243E-01  4.3969004E-01  3.8592040E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.5413099E-03
  0.0000000E+00  0.0000000E+00  2.0014729E-03  5.0364228E-02  2.1437879E-01  2.3797519E-01  3.2287790E+00  3.7202572E-01  4.5583838E-01  5.0240420E-02  2.0014729E-03  0.0000000E+00  0.0000000E+00  7.0695296E-03
  0.0000000E+00  0.0000000E+00  1.4509934E-02  6.1903995E-02  2.2265739E-01  2.4693012E-01  3.4915495E+00  3.8422263E-01  4.7118419E-01  6.1783545E-02  1.4509934E-02  0.0000000E+00  0.0000000E+00  7.8485123E-03
  0.0000000E+00  0.0000000E+00  2.6463140E-02  7.2967416E-02  2.3070079E-01  2.5557684E-01  3.7198651E+00  3.9583966E-01  4.8572414E-01  7.2850217E-02  2.6463140E-02  0.0000000E+00  0.0000000E+00  8.6285762E-03
  0.0000000E+00  0.0000000E+00  3.7846474E-02  8.3528929E-02  2.3845248E-01  2.6386961E-01  3.9188186E+00  4.0686584E-01  4.9947387E-01  8.3414875E-02  3.7846474E-02  0.0000000E+00  0.0000000E+00  9.4097254E-03
  0.0000000E+00  0.0000000E+00  4.8663974E-02  9.3583709E-02  2.4588221E-01  2.7178685E-01  4.0926217E+00  4.1730836E-01  5.1246282E-01  9.3472696E-02  4.8663974E-02  0.0000000E+00  0.0000000E+00  1.0191964E-02
  0.0000000E+00  0.0000000E+00  5.8930815E-02  1.0313966E-01  2.5297674E-01  2.7932244E-01  4.2447751E+00  4.2718512E-01  5.2472771E-01  1.0303159E-01  5.8930815E-02  0.0000000E+00  0.0000000E+00  1.0975296E-02
  0.0000000E+00  0.0000000E+00  6.8668579E-02  1.1221233E-01  2.5973382E-01  2.8648003E-01  4.3782045E+00  4.3652004E-01  5.3630849E-01  1.1210711E-01  6.8668579E-02  0.0000000E+00  0.0000000E+00  1.1759727E-02
  0.0000000E+00  7.3577466E-03  7.7900939E-02  1.2082017E-01  2.6615466E-01  2.9326607E-01  4.4826628E+00  4.4533882E-01  5.4724673E-01  1.2071770E-01  7.7900939E-02  7.3577466E-03  0.0000000E+00  1.2544860E-02
  0.0000000E+00  1.7244493E-02  8.6650732E-02  1.2897996E-01  2.7223788E-01  2.9968409E-01  4.5687798E+00  4.5366455E-01  5.5758251E-01  1.2888016E-01  8.6650732E-02  1.7244493E-02  0.0000000E+00  1.3331039E-02
  0.0000000E+00  2.6612858E-02  9.4944326E-02  1.3671458E-01  2.7799635E-01  3.0575020E-01  4.6435257E+00  4.6152483E-01  5.6735266E-01  1.3661738E-01  9.4944326E-02  2.6612858E-02  0.0000000E+00  1.4118448E-02
  0.0000000E+00  3.5494659E-02  1.0280779E-01  1.4404730E-01  2.8344494E-01  3.1148199E-01  4.7082752E+00  4.6894702E-01  5.7659245E-01  1.4395263E-01  1.0280779E-01  3.5494659E-02  0.0000000E+00  1.4907093E-02
  0.0000000E+00  4.3920083E-02  1.1026630E-01  1.5100088E-01  2.8859894E-01  3.1689716E-01  4.7642124E+00  4.7595748E-01  5.8533520E-01  1.5090866E-01  1.1026630E-01  4.3920083E-02  0.0000000E+00  1.5696978E-02
  0.0000000E+00  5.1917567E-02  1.1734389E-01  1.5759721E-01  2.9347369E-01  3.2201311E-01  4.8123616E+00  4.8258125E-01  5.9361226E-01  1.5750738E-01  1.1734389E-01  5.1917567E-02  0.0000000E+00  1.6488109E-02
  0.0000000E+00  5.9513778E-02  1.2406335E-01  1.6385719E-01  2.9808420E-01  3.2684670E-01  4.8536112E+00  4.8884204E-01  6.0145295E-01  1.6376969E-01  1.2406335E-01  5.9513778E-02  0.0000000E+00  1.7280492E-02
  0.0000000E+00  6.6733631E-02  1.3044617E-01  1.6980063E-01  3.0244503E-01  3.3141410E-01  4.8887351E+00  4.9476212E-01  6.0888461E-01  1.6971540E-01  1.3044617E-01  6.6733631E-02  0.0000000E+00  1.8074132E-02
  0.0000000E+00  7.3600352E-02  1.3651252E-01  1.7544621E-01  3.0657016E-01  3.3573073E-01  4.9184091E+00  5.0036239E-01  6.1593273E-01  1.7536318E-01  1.3651252E-01  7.3600352E-02  0.0000000E+00  1.8869033E-02
  0.0000000E+00  8.0135562E-02  1.4228129E-01  1.8081148E-01  3.1047291E-01  3.3981115E-01  4.9432253E+00  5.0566237E-01  6.2262096E-01  1.8073060E-01  1.4228129E-01  8.0135562E-02  0.0000000E+00  1.9665202E-02
  0.0000000E+00  8.6359370E-02  1.4777014E-01  1.8591291E-01  3.1416589E-01  3.4366914E-01  4.9637040E+00  5.1068028E-01  6.2897134E-01  1.8583411E-01  1.4777014E-01  8.6359370E-02  0.0000000E+00  2.0462643E-02
  0.0000000E+00  9.2290465E-02  1.5299557E-01  1.9076588E-01  3.1766104E-01  3.4731764E-01  4.9803034E+00  5.1543312E-01  6.3500427E-01  1.9068913E-01  1.5299557E-01  9.2290465E-02  0.0000000E+00  2.1261363E-02
  0.0000000E+00  9.7946218E-02  1.5797295E-01  1.9538482E-01  3.2096960E-01  3.5076881E-01  4.9934286E+00  5.1993671E-01  6.4073876E-01  1.9531005E-01  1.5797295E-01  9.7946218E-02  0.0000000E+00  2.2061366E-02
  0.0000000E+00  1.0334277E-01  1.6271663E-01  1.9978318E-01  3.2410216E-01  3.5403405E-01  5.0034380E+00  5.2420579E-01  6.4619242E-01  1.9971035E-01  1.6271663E-01  1.0334277E-01  0.0000000E+00  2.2862659E-02
  0.0000000E+00  1.0849513E-01  1.6723999E-01  2.0397351E-01  3.2706864E-01  3.5712402E-01  5.0106498E+00  5.2825411E-01  6.5138164E-01  2.0390258E-01  1.6723999E-01  1.0849513E-01  0.0000000E+00  2.3665246E-02
  0.0000000E+00  1.1341727E-01  1.7155549E-01  2.0796757E-01  3.2987838E-01  3.6004873E-01  5.0153471E+00  5.3209444E-01  6.5632165E-01  2.0789848E-01  1.7155549E-01  1.1341727E-01  0.0000000E+00  2.4469134E-02
  0.0000000E+00  1.1812216E-01  1.7567478E-01  2.1177629E-01  3.3254010E-01  3.6281752E-01  5.0177822E+00  5.3573871E-01  6.6102661E-01  2.1170901E-01  1.7567478E-01  1.1812216E-01  0.0000000E+00  2.5274328E-02
  0.0000000E+00  1.2262190E-01  1.7960870E-01  2.1540992E-01  3.3506200E-01  3.6543913E-01  5.0181806E+00  5.3919802E-01  6.6550971E-01  2.1534441E-01  1.7960870E-01  1.2262190E-01  0.0000000E+00  2.6080834E-02
  0.0000000E+00  1.2692777E-01  1.8336738E-01  2.1887802E-01  3.3745176E-01  3.6792176E-01  5.0167439E+00  5.4248273E-01  6.6978324E-01  2.1881423E-01  1.8336738E-01  1.2692777E-01  0.0000000E+00  2.6888657E-02
  2.8640672E-03  1.3105004E-01  1.8695992E-01  2.2219135E-01  3.3971811E-01  3.7027459E-01  5.0080446E+00  5.4560426E-01  6.7386068E-01  2.2212924E-01  1.8695992E-01  1.3105004E-01  2.8640672E-03  2.7694875E-02
  8.1760452E-03  1.3499623E-01  1.9039209E-01  2.2535458E-01  3.4186255E-01  3.7249968E-01  4.9930965E+00  5.4856764E-01  6.7775012E-01  2.2529413E-01  1.9039209E-01  1.3499623E-01  8.1760452E-03  2.8500140E-02
  1.3278864E-02  1.3877499E-01  1.9367160E-01  2.2837295E-01  3.4388876E-01  3.7460107E-01  4.9772512E+00  5.5137860E-01  6.8145885E-01  2.2831412E-01  1.9367160E-01  1.3877499E-01  1.3278864E-02  2.9307260E-02
  1.8183215E-02  1.4239490E-01  1.9680632E-01  2.3125394E-01  3.4580305E-01  3.7658539E-01  4.9606107E+00  5.5404519E-01  6.8499615E-01  2.3119670E-01  1.9680632E-01  1.4239490E-01  1.8183215E-02  3.0116248E-02
  2.2899102E-02  1.4586400E-01  1.9980360E-01  2.3400459E-01  3.4761134E-01  3.7845885E-01  4.9432668E+00  5.5657493E-01  6.8837072E-01  2.3394891E-01  1.9980360E-01  1.4586400E-01  2.2899102E-02  3.0927113E-02
  2.7435895E-02  1.4918982E-01  2.0267037E-01  2.3663151E-01  3.4931919E-01  3.8022730E-01  4.9253023E+00  5.5897488E-01  6.9159070E-01  2.3657736E-01  2.0267037E-01  1.4918982E-01  2.7435895E-02  3.1739867E-02
  3.1802379E-02  1.5237945E-01  2.0541312E-01  2.3914090E-01  3.5093180E-01  3.8189621E-01  4.9067920E+00  5.6125167E-01  6.9466376E-01  2.3908824E-01  2.0541312E-01  1.5237945E-01  3.1802379E-02  3.2554522E-02
  3.6006796E-02  1.5543953E-01  2.0803794E-01  2.4153857E-01  3.5245409E-01  3.8347071E-01  4.8878035E+00  5.6341151E-01  6.9759710E-01  2.4148739E-01  2.0803794E-01  1.5543953E-01  3.6006796E-02  3.3371088E-02
  4.0056886E-02  1.5837631E-01  2.1055058E-01  2.4383002E-01  3.5389066E-01  3.8495564E-01  4.8683979E+00  5.6546026E-01  7.0039746E-01  2.4378028E-01  2.1055058E-01  1.5837631E-01  4.0056886E-02  3.4189579E-02
  4.3959922E-02  1.6119567E-01  2.1295643E-01  2.4602039E-01  3.5524585E-01  3.8635554E-01  4.8486305E+00  5.6740341E-01  7.0307123E-01  2.4597207E-01  2.1295643E-01  1.6119567E-01  4.3959922E-02  3.5010004E-02
  4.7722748E-02  1.6390314E-01  2.1526057E-01  2.4811454E-01  3.5652373E-01  3.8767468E-01  4.8285512E+00  5.6924613E-01  7.0562439E-01  2.4806761E-01  2.1526057E-01  1.6390314E-01  4.7722748E-02  3.5832376E-02
  5.1351806E-02  1.6650393E-01  2.1746780E-01  2.5011704E-01  3.5772816E-01  3.8891710E-01  4.8082055E+00  5.7099331E-01  7.0806259E-01  2.5007149E-01  2.1746780E-01  1.6650393E-01  5.1351806E-02  3.6656707E-02
  5.4853165E-02  1.6900296E-01  2.1958262E-01  2.5203221E-01  3.5886274E-01  3.9008658E-01  4.7876342E+00  5.7264952E-01  7.1039117E-01  2.5198800E-01  2.1958262E-01  1.6900296E-01  5.4853165E-02  3.7483009E-02
  5.8232546E-02  1.7140486E-01  2.2160928E-01  2.5386412E-01  3.5993091E-01  3.9118669E-01  4.7668748E+00  5.7421909E-01  7.1261513E-01  2.5382123E-01  2.2160928E-01  1.7140486E-01  5.8232546E-02  3.8311294E-02
  6.1495348E-02  1.7371401E-01  2.2355183E-01  2.5561660E-01  3.6093588E-01  3.9222081E-01  4.7459609E+00  5.7570612E-01  7.1473923E-01  2.5557501E-01  2.2355183E-01  1.7371401E-01  6.1495348E-02  3.9141574E-02
  6.4646670E-02  1.7593454E-01  2.2541404E-01  2.5729328E-01  3.6188069E-01  3.9319211E-01  4.7249231E+00  5.7711445E-01  7.1676796E-01  2.5725296E-01  2.2541404E-01  1.7593454E-01  6.4646670E-02  3.9973862E-02
  6.7691329E-02  1.7807035E-01  2.2719950E-01  2.5889759E-01  3.6276821E-01  3.9410360E-01  4.7037892E+00  5.7844773E-01  7.1870553E-01  2.5885853E-01  2.2719950E-01  1.7807035E-01  6.7691329E-02  4.0808170E-02
  7.0633880E-02  1.8012515E-01  2.2891162E-01  2.6043277E-01  3.6360116E-01  3.9495812E-01  4.6825843E+00  5.7970939E-01  7.2055598E-01  2.6039494E-01  2.2891162E-01  1.8012515E-01  7.0633880E-02  4.1644511E-02
  7.3478633E-02  1.8210242E-01  2.3055360E-01  2.6190189E-01  3.6438210E-01  3.9575834E-01  4.6613312E+00  5.8090269E-01  7.2232309E-01  2.6186528E-01  2.3055360E-01  1.8210242E-01  7.3478633E-02  4.2482897E-02
  7.6229669E-02  1.8400548E-01  2.3212848E-01  2.6330785E-01  3.6511347E-01  3.9650679E-01  4.6400508E+00  5.8203071E-01  7.2401046E-01  2.6327243E-01  2.3212848E-01  1.8400548E-01  7.6229669E-02  4.3323342E-02
  7.8890854E-02  1.8583746E-01  2.3363915E-01  2.6465340E-01  3.6579755E-01  3.9720589E-01  4.6187617E+00  5.8309637E-01  7.2562148E-01  2.6461916E-01  2.3363915E-01  1.8583746E-01  7.8890854E-02  4.4165858E-02
  8.1465854E-02  1.8760135E-01  2.3508833E-01  2.6594116E-01  3.6643653E-01  3.9785790E-01  4.5974809E+00  5.8410243E-01  7.2715940E-01  2.6590807E-01  2.3508833E-01  1.8760135E-01  8.1465854E-02  4.5010459E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.3369769E-02  1.6708510E-01  1.9711426E-01  2.2885898E+00  3.5128274E-01  4.5071194E-01  2.3231756E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.6719754E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.2088674E-02  1.7333214E-01  2.0406107E-01  2.5515659E+00  3.6234761E-01  4.6596534E-01  3.1954366E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.9808732E-03
  0.0000000E+00  0.0000000E+00  1.6311993E-03  4.1597704E-02  1.7948540E-01  2.1080064E-01  2.7706963E+00  3.7274185E-01  4.8014188E-01  4.1485771E-02  1.6311993E-03  0.0000000E+00  0.0000000E+00  7.4490037E-03
  0.0000000E+00  0.0000000E+00  1.1719809E-02  5.0817629E-02  1.8542688E-01  2.1723920E-01  2.9426357E+00  3.8245963E-01  4.9331080E-01  5.0710764E-02  1.1719809E-02  0.0000000E+00  0.0000000E+00  8.1129653E-03
  0.0000000E+00  0.0000000E+00  2.1202864E-02  5.9503909E-02  1.9109545E-01  2.2333251E-01  3.0879852E+00  3.9151802E-01  5.0554106E-01  5.9401854E-02  2.1202864E-02  0.0000000E+00  0.0000000E+00  8.7778373E-03
  0.0000000E+00  0.0000000E+00  3.0102736E-02  6.7668857E-02  1.9646849E-01  2.2907000E-01  3.2111363E+00  3.9994907E-01  5.1689982E-01  6.7571372E-02  3.0102736E-02  0.0000000E+00  0.0000000E+00  9.4436230E-03
  0.0000000E+00  0.0000000E+00  3.8449513E-02  7.5334426E-02  2.0153940E-01  2.3445468E-01  3.3156313E+00  4.0779075E-01  5.2745414E-01  7.5241291E-02  3.8449513E-02  0.0000000E+00  0.0000000E+00  1.0110326E-02
  0.0000000E+00  0.0000000E+00  4.6276637E-02  8.2527394E-02  2.0631139E-01  2.3949741E-01  3.4043513E+00  4.1508295E-01  5.3726829E-01  8.2438405E-02  4.6276637E-02  0.0000000E+00  0.0000000E+00  1.0777949E-02
  0.0000000E+00  0.0000000E+00  5.3618371E-02  8.9276500E-02  2.1079348E-01  2.4421347E-01  3.4796579E+00  4.2186525E-01  5.4640244E-01  8.9191469E-02  5.3618371E-02  0.0000000E+00  0.0000000E+00  1.1446497E-02
  0.0000000E+00  5.5690788E-03  6.0507203E-02  9.5609469E-02  2.1499465E-01  2.4861716E-01  3.5334455E+00  4.2817439E-01  5.5491303E-01  9.5528222E-02  6.0507203E-02  5.5690788E-03  0.0000000E+00  1.2115581E-02
  0.0000000E+00  1.2996305E-02  6.6972061E-02  1.0154973E-01  2.1891913E-01  2.5271727E-01  3.5741610E+00  4.3404098E-01  5.6285091E-01  1.0147212E-01  6.6972061E-02  1.2996305E-02  0.0000000E+00  1.2785523E-02
  0.0000000E+00  1.9975218E-02  7.3042774E-02  1.0712392E-01  2.2258258E-01  2.5653277E-01  3.6072826E+00  4.3949762E-01  5.7026041E-01  1.0704981E-01  7.3042774E-02  1.9975218E-02  0.0000000E+00  1.3456501E-02
  0.0000000E+00  2.6538937E-02  7.8747370E-02  1.1235752E-01  2.2600124E-01  2.6008269E-01  3.6338405E+00  4.4457496E-01  5.7718214E-01  1.1228677E-01  7.8747370E-02  2.6538937E-02  0.0000000E+00  1.4128520E-02
  0.0000000E+00  3.2717927E-02  8.4111879E-02  1.1727434E-01  2.2919082E-01  2.6338513E-01  3.6547100E+00  4.4930128E-01  5.8365322E-01  1.1720684E-01  8.4111879E-02  3.2717927E-02  0.0000000E+00  1.4801584E-02
  0.0000000E+00  3.8540153E-02  8.9160384E-02  1.2189651E-01  2.3216628E-01  2.6645710E-01  3.6706380E+00  4.5370262E-01  5.8970751E-01  1.2183214E-01  8.9160384E-02  3.8540153E-02  0.0000000E+00  1.5475697E-02
  0.0000000E+00  4.4031261E-02  9.3915112E-02  1.2624454E-01  2.3494178E-01  2.6931454E-01  3.6822638E+00  4.5780287E-01  5.9537594E-01  1.2618318E-01  9.3915112E-02  4.4031261E-02  0.0000000E+00  1.6150863E-02
  0.0000000E+00  4.9214750E-02  9.8396543E-02  1.3033738E-01  2.3753062E-01  2.7197232E-01  3.6901373E+00  4.6162398E-01  6.0068671E-01  1.3027894E-01  9.8396543E-02  4.9214750E-02  0.0000000E+00  1.6827088E-02
  0.0000000E+00  5.4112160E-02  1.0262353E-01  1.3419253E-01  2.3994523E-01  2.7444421E-01  3.6947325E+00  4.6518608E-01  6.0566560E-01  1.3413690E-01  1.0262353E-01  5.4112160E-02  0.0000000E+00  1.7504374E-02
  0.0000000E+00  5.8743236E-02  1.0661342E-01  1.3782610E-01  2.4219723E-01  2.7674301E-01  3.6964601E+00  4.6850761E-01  6.1033613E-01  1.3777320E-01  1.0661342E-01  5.8743236E-02  0.0000000E+00  1.8182727E-02
  0.0000000E+00  6.3126090E-02  1.1038219E-01  1.4125299E-01  2.4429739E-01  2.7888055E-01  3.6956763E+00  4.7160551E-01  6.1471986E-01  1.4120272E-01  1.1038219E-01  6.3126090E-02  0.0000000E+00  1.8862152E-02
  0.0000000E+00  6.7277347E-02  1.1394453E-01  1.4448690E-01  2.4625576E-01  2.8086778E-01  3.6926912E+00  4.7449532E-01  6.1883650E-01  1.4443919E-01  1.1394453E-01  6.7277347E-02  0.0000000E+00  1.9542652E-02
  0.0000000E+00  7.1212284E-02  1.1731398E-01  1.4754049E-01  2.4808162E-01  2.8271483E-01  3.6877758E+00  4.7719133E-01  6.2270413E-01  1.4749525E-01  1.1731398E-01  7.1212284E-02  0.0000000E+00  2.0224232E-02
  0.0000000E+00  7.4944946E-02  1.2050302E-01  1.5042542E-01  2.4978362E-01  2.8443106E-01  3.6811668E+00  4.7970664E-01  6.2633934E-01  1.5038258E-01  1.2050302E-01  7.4944946E-02  0.0000000E+00  2.0906897E-02
  0.0000000E+00  7.8488268E-02  1.2352316E-01  1.5315248E-01  2.5136977E-01  2.8602512E-01  3.6730721E+00  4.8205335E-01  6.2975738E-01  1.5311196E-01  1.2352316E-01  7.8488268E-02  0.0000000E+00  2.1590651E-02
  0.0000000E+00  8.1854167E-02  1.2638503E-01  1.5573161E-01  2.5284750E-01  2.8750502E-01  3.6636745E+00  4.8424258E-01  6.3297228E-01  1.5569335E-01  1.2638503E-01  8.1854167E-02  0.0000000E+00  2.2275499E-02
  0.0000000E+00  8.5053641E-02  1.2909843E-01  1.5817201E-01  2.5422367E-01  2.8887816E-01  3.6531348E+00  4.8628456E-01  6.3599695E-01  1.5813595E-01  1.2909843E-01  8.5053641E-02  0.0000000E+00  2.2961445E-02
  0.0000000E+00  8.8096848E-02  1.3167245E-01  1.6048222E-01  2.5550470E-01  2.9015139E-01  3.6415951E+00  4.8818877E-01  6.3884333E-01  1.6044829E-01  1.3167245E-01  8.8096848E-02  0.0000000E+00  2.3648495E-02
  0.0000000E+00  9.0993180E-02  1.3411548E-01  1.6267010E-01  2.5669652E-01  2.9133108E-01  3.6291810E+00  4.8996394E-01  6.4152241E-01  1.6263825E-01  1.3411548E-01  9.0993180E-02  0.0000000E+00  2.4336652E-02
  1.9845744E-03  9.3751136E-02  1.3643501E-01  1.6474453E-01  2.5780589E-01  2.9242436E-01  3.6119545E+00  4.9161956E-01  6.4404603E-01  1.6471469E-01  1.3643501E-01  9.3751136E-02  1.9845744E-03  2.5023269E-02
  5.6548660E-03  9.6377022E-02  1.3863586E-01  1.6670935E-01  2.5883358E-01  2.9343229E-01  3.5906419E+00  4.9315952E-01  6.4642126E-01  1.6668148E-01  1.3863586E-01  9.6377022E-02  5.6548660E-03  2.5708914E-02
  9.1675688E-03  9.8877940E-02  1.4072432E-01  1.6856871E-01  2.5978216E-01  2.9435772E-01  3.5690921E+00  4.9458846E-01  6.4865456E-01  1.6854276E-01  1.4072432E-01  9.8877940E-02  9.1675688E-03  2.6396122E-02
  1.2531315E-02  1.0126085E-01  1.4270673E-01  1.7032862E-01  2.6065641E-01  2.9520571E-01  3.5473604E+00  4.9591298E-01  6.5075396E-01  1.7030455E-01  1.4270673E-01  1.0126085E-01  1.2531315E-02  2.7084904E-02
  1.5754144E-02  1.0353223E-01  1.4458899E-01  1.7199470E-01  2.6146078E-01  2.9598093E-01  3.5254959E+00  4.9713919E-01  6.5272695E-01  1.7197246E-01  1.4458899E-01  1.0353223E-01  1.5754144E-02  2.7775266E-02
  1.8843554E-02  1.0569814E-01  1.4637662E-01  1.7357215E-01  2.6219940E-01  2.9668776E-01  3.5035416E+00  4.9827280E-01  6.5458053E-01  1.7355170E-01  1.4637662E-01  1.0569814E-01  1.8843554E-02  2.8467220E-02
  2.1806544E-02  1.0776422E-01  1.4807475E-01  1.7506587E-01  2.6287615E-01  2.9733027E-01  3.4815358E+00  4.9931913E-01  6.5632122E-01  1.7504717E-01  1.4807475E-01  1.0776422E-01  2.1806544E-02  2.9160774E-02
  2.4649653E-02  1.0973576E-01  1.4968820E-01  1.7648042E-01  2.6349463E-01  2.9791224E-01  3.4595124E+00  5.0028316E-01  6.5795512E-01  1.7646342E-01  1.4968820E-01  1.0973576E-01  2.4649653E-02  2.9855938E-02
  2.7378998E-02  1.1161769E-01  1.5122146E-01  1.7782005E-01  2.6405822E-01  2.9843724E-01  3.4375010E+00  5.0116950E-01  6.5948793E-01  1.7780472E-01  1.5122146E-01  1.1161769E-01  2.7378998E-02  3.0552722E-02
  3.0000303E-02  1.1341464E-01  1.5267874E-01  1.7908877E-01  2.6457006E-01  2.9890856E-01  3.4155280E+00  5.0198251E-01  6.6092499E-01  1.7907507E-01  1.5267874E-01  1.1341464E-01  3.0000303E-02  3.1251134E-02
  3.2518934E-02  1.1513094E-01  1.5406398E-01  1.8029030E-01  2.6503311E-01  2.9932931E-01  3.3936165E+00  5.0272623E-01  6.6227130E-01  1.8027820E-01  1.5406398E-01  1.1513094E-01  3.2518934E-02  3.1951186E-02
  3.4939923E-02  1.1677065E-01  1.5538088E-01  1.8142816E-01  2.6545012E-01  2.9970237E-01  3.3717871E+00  5.0340447E-01  6.6353155E-01  1.8141762E-01  1.5538088E-01  1.1677065E-01  3.4939923E-02  3.2652885E-02
  3.7267995E-02  1.1833760E-01  1.5663292E-01  1.8250563E-01  2.6582368E-01  3.0003047E-01  3.3500575E+00  5.0402077E-01  6.6471015E-01  1.8249663E-01  1.5663292E-01  1.1833760E-01  3.7267995E-02  3.3356244E-02
  3.9507588E-02  1.1983536E-01  1.5782335E-01  1.8352581E-01  2.6615622E-01  3.0031614E-01  3.3284435E+00  5.0457849E-01  6.6581122E-01  1.8351829E-01  1.5782335E-01  1.1983536E-01  3.9507588E-02  3.4061271E-02
  4.1662874E-02  1.2126730E-01  1.5895524E-01  1.8449158E-01  2.6645001E-01  3.0056175E-01  3.3069590E+00  5.0508074E-01  6.6683865E-01  1.8448554E-01  1.5895524E-01  1.2126730E-01  4.1662874E-02  3.4767976E-02
  4.3737782E-02  1.2263659E-01  1.6003145E-01  1.8540568E-01  2.6670718E-01  3.0076956E-01  3.2856158E+00  5.0553048E-01  6.6779609E-01  1.8540107E-01  1.6003145E-01  1.2263659E-01  4.3737782E-02  3.5476370E-02
  4.5736010E-02  1.2394622E-01  1.6105472E-01  1.8627068E-01  2.6692974E-01  3.0094164E-01  3.2644245E+00  5.0593046E-01  6.6868698E-01  1.8626748E-01  1.6105472E-01  1.2394622E-01  4.5736010E-02  3.6186464E-02
  4.7661045E-02  1.2519898E-01  1.6202758E-01  1.8708899E-01  2.6711957E-01  3.0107998E-01  3.2433941E+00  5.0628328E-01  6.6951457E-01  1.8708717E-01  1.6202758E-01  1.2519898E-01  4.7661045E-02  3.6898267E-02
  4.9516175E-02  1.2639755E-01  1.6295244E-01  1.8786289E-01  2.6727845E-01  3.0118642E-01  3.2225324E+00  5.0659139E-01  6.7028190E-01  1.8786241E-01  1.6295244E-01  1.2639755E-01  4.9516175E-02  3.7611790E-02
  5.1304504E-02  1.2754441E-01  1.6383158E-01  1.8859452E-01  2.6740803E-01  3.0126271E-01  3.2018461E+00  5.0685709E-01  6.7099186E-01  1.8859537E-01  1.6383158E-01  1.2754441E-01  5.1304504E-02  3.8327043E-02
  5.3028966E-02  1.2864192E-01  1.6466713E-01  1.8928590E-01  2.6750991E-01  3.0131047E-01  3.1813407E+00  5.0708255E-01  6.7164715E-01  1.8928805E-01  1.6466713E-01  1.2864192E-01  5.3028966E-02  3.9044038E-02
  5.4692330E-02  1.2969231E-01  1.6546112E-01  1.8993896E-01  2.6758554E-01  3.0133126E-01  3.1610212E+00  5.0726981E-01  6.7225037E-01  1.8994238E-01  1.6546112E-01  1.2969231E-01  5.4692330E-02  3.9762785E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.9010272E-02  1.3469982E-01  1.7320041E-01  1.9914312E+00  3.6014546E-01  4.8797599E-01  1.8915580E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.1587382E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.6107925E-02  1.3910551E-01  1.7788083E-01  2.1635093E+00  3.6878945E-01  5.0103507E-01  2.6014188E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.4241695E-03
  0.0000000E+00  0.0000000E+00  1.2854069E-03  3.3628845E-02  1.4334920E-01  1.8231227E-01  2.3020192E+00  3.7665815E-01  5.1283617E-01  3.3544801E-02  1.2854069E-03  0.0000000E+00  0.0000000E+00  7.8222476E-03
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  0.0000000E+00  0.0000000E+00  1.6438902E-02  4.7311001E-02  1.5111694E-01  1.9027194E-01  2.4874170E+00  3.9029738E-01  5.3323052E-01  4.7240216E-02  1.6438902E-02  0.0000000E+00  0.0000000E+00  8.9292522E-03
  0.0000000E+00  0.0000000E+00  2.3175613E-02  5.3399912E-02  1.5460934E-01  1.9379367E-01  2.5548806E+00  3.9618557E-01  5.4204898E-01  5.3335118E-02  2.3175613E-02  0.0000000E+00  0.0000000E+00  9.4838774E-03
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  0.0000000E+00  0.0000000E+00  4.0544786E-02  6.9091701E-02  1.6360295E-01  2.0270307E-01  2.6881725E+00  4.1078587E-01  5.6406994E-01  6.9042809E-02  4.0544786E-02  0.0000000E+00  0.0000000E+00  1.1152278E-02
  0.0000000E+00  4.0841661E-03  4.5517540E-02  7.3577035E-02  1.6614790E-01  2.0517945E-01  2.7078374E+00  4.1478713E-01  5.7017467E-01  7.3532863E-02  4.5517540E-02  4.0841661E-03  0.0000000E+00  1.1709545E-02
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  0.0000000E+00  3.1545580E-02  6.8864886E-02  9.4501911E-02  1.7748203E-01  2.1586916E-01  2.7167968E+00  4.3204880E-01  5.9741392E-01  9.4481735E-02  6.8864886E-02  3.1545580E-02  0.0000000E+00  1.5070049E-02
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  1.3275511E-03  6.4847513E-02  9.6376824E-02  1.1853036E-01  1.8788966E-01  2.2442640E-01  2.5306041E+00  4.4645095E-01  6.2417982E-01  1.1854570E-01  9.6376824E-02  6.4847513E-02  1.3275511E-03  2.2456981E-02
  3.7750846E-03  6.6519960E-02  9.7710150E-02  1.1966014E-01  1.8821848E-01  2.2460971E-01  2.5080194E+00  4.4681997E-01  6.2518259E-01  1.1967759E-01  9.7710150E-02  6.6519960E-02  3.7750846E-03  2.3027401E-02
  6.1080068E-03  6.8102586E-02  9.8963989E-02  1.2071651E-01  1.8849808E-01  2.2474410E-01  2.4855969E+00  4.4711524E-01  6.2608024E-01  1.2073602E-01  9.8963989E-02  6.8102586E-02  6.1080068E-03  2.3599107E-02
  8.3330214E-03  6.9600806E-02  1.0014323E-01  1.2170408E-01  1.8873188E-01  2.2483309E-01  2.4633592E+00  4.4734186E-01  6.2687948E-01  1.2172559E-01  1.0014323E-01  6.9600806E-02  8.3330214E-03  2.4172104E-02
  1.0456346E-02  7.1019640E-02  1.0125242E-01  1.2262711E-01  1.8892302E-01  2.2487993E-01  2.4413252E+00  4.4750451E-01  6.2758653E-01  1.2265056E-01  1.0125242E-01  7.1019640E-02  1.0456346E-02  2.4746401E-02
  1.2483754E-02  7.2363747E-02  1.0229575E-01  1.2348957E-01  1.8907443E-01  2.2488761E-01  2.4195107E+00  4.4760756E-01  6.2820716E-01  1.2351491E-01  1.0229575E-01  7.2363747E-02  1.2483754E-02  2.5322005E-02
  1.4420611E-02  7.3637456E-02  1.0327714E-01  1.2429512E-01  1.8918881E-01  2.2485892E-01  2.3979288E+00  4.4765503E-01  6.2874671E-01  1.2432229E-01  1.0327714E-01  7.3637456E-02  1.4420611E-02  2.5898922E-02
  1.6271913E-02  7.4844796E-02  1.0420021E-01  1.2504718E-01  1.8926865E-01  2.2479643E-01  2.3765904E+00  4.4765064E-01  6.2921016E-01  1.2507613E-01  1.0420021E-01  7.4844796E-02  1.6271913E-02  2.6477162E-02
  1.8042312E-02  7.5989515E-02  1.0506836E-01  1.2574892E-01  1.8931628E-01  2.2470251E-01  2.3555040E+00  4.4759786E-01  6.2960212E-01  1.2577960E-01  1.0506836E-01  7.5989515E-02  1.8042312E-02  2.7056732E-02
  1.9736149E-02  7.7075108E-02  1.0588472E-01  1.2640329E-01  1.8933387E-01  2.2457937E-01  2.3346766E+00  4.4749990E-01  6.2992690E-01  1.2643567E-01  1.0588472E-01  7.7075108E-02  1.9736149E-02  2.7637638E-02
  2.1357475E-02  7.8104834E-02  1.0665224E-01  1.2701305E-01  1.8932341E-01  2.2442906E-01  2.3141135E+00  4.4735973E-01  6.3018850E-01  1.2704707E-01  1.0665224E-01  7.8104834E-02  2.1357475E-02  2.8219890E-02
  2.2910075E-02  7.9081739E-02  1.0737366E-01  1.2758078E-01  1.8928676E-01  2.2425347E-01  2.2938188E+00  4.4718014E-01  6.3039066E-01  1.2761640E-01  1.0737366E-01  7.9081739E-02  2.2910075E-02  2.8803495E-02
  2.4397492E-02  8.0008666E-02  1.0805153E-01  1.2810886E-01  1.8922567E-01  2.2405438E-01  2.2737952E+00  4.4696370E-01  6.3053686E-01  1.2814603E-01  1.0805153E-01  8.0008666E-02  2.4397492E-02  2.9388461E-02
  2.5823041E-02  8.0888278E-02  1.0868825E-01  1.2859953E-01  1.8914174E-01  2.2383341E-01  2.2540446E+00  4.4671282E-01  6.3063036E-01  1.2863823E-01  1.0868825E-01  8.0888278E-02  2.5823041E-02  2.9974797E-02
  2.7189830E-02  8.1723066E-02  1.0928606E-01  1.2905490E-01  1.8903649E-01  2.2359212E-01  2.2345678E+00  4.4642973E-01  6.3067420E-01  1.2909508E-01  1.0928606E-01  8.1723066E-02  2.7189830E-02  3.0562509E-02
  2.8500773E-02  8.2515364E-02  1.0984705E-01  1.2947692E-01  1.8891132E-01  2.2333190E-01  2.2153651E+00  4.4611654E-01  6.3067124E-01  1.2951854E-01  1.0984705E-01  8.2515364E-02  2.8500773E-02  3.1151607E-02
  2.9758606E-02  8.3267361E-02  1.1037318E-01  1.2986742E-01  1.8876754E-01  2.2305409E-01  2.1964359E+00  4.4577518E-01  6.3062413E-01  1.2991046E-01  1.1037318E-01  8.3267361E-02  2.9758606E-02  3.1742099E-02
  3.0965900E-02  8.3981114E-02  1.1086630E-01  1.3022813E-01  1.8860637E-01  2.2275992E-01  2.1777792E+00  4.4540748E-01  6.3053538E-01  1.3027255E-01  1.1086630E-01  8.3981114E-02  3.0965900E-02  3.2333992E-02
  3.2125072E-02  8.4658550E-02  1.1132814E-01  1.3056066E-01  1.8842895E-01  2.2245055E-01  2.1593934E+00  4.4501514E-01  6.3040733E-01  1.3060642E-01  1.1132814E-01  8.4658550E-02  3.2125072E-02  3.2927296E-02
  3.3238397E-02  8.5301485E-02  1.1176032E-01  1.3086653E-01  1.8823636E-01  2.2212705E-01  2.1412765E+00  4.4459976E-01  6.3024218E-01  1.3091360E-01  1.1176032E-01  8.5301485E-02  3.3238397E-02  3.3522019E-02
  3.4308016E-02  8.5911624E-02  1.1216437E-01  1.3114715E-01  1.8802959E-01  2.2179042E-01  2.1234261E+00  4.4416282E-01  6.3004199E-01  1.3119550E-01  1.1216437E-01  8.5911624E-02  3.4308016E-02  3.4118170E-02
  3.5335948E-02  8.6490574E-02  1.1254171E-01  1.3140387E-01  1.8780958E-01  2.2144160E-01  2.1058397E+00  4.4370573E-01  6.2980870E-01  1.3145347E-01  1.1254171E-01  8.6490574E-02  3.5335948E-02  3.4715757E-02
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.0793748E-02  1.0493349E-01  1.4950787E-01  1.7570866E+00  3.7782466E-01  5.4361976E-01  2.0750799E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.7424882E-03
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  0.0000000E+00  0.0000000E+00  1.2295981E-02  3.6529745E-02  1.1272397E-01  1.5603075E-01  1.9308932E+00  3.9102930E-01  5.6683799E-01  3.6511063E-02  1.2295981E-02  0.0000000E+00  0.0000000E+00  8.9739065E-03
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  0.0000000E+00  2.8901407E-03  3.3057809E-02  5.4855003E-02  1.2163211E-01  1.6284937E-01  2.0065611E+00  4.0339315E-01  5.9004390E-01  5.4866697E-02  3.3057809E-02  2.8901407E-03  0.0000000E+00  1.1220077E-02
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  0.0000000E+00  1.0186957E-02  3.9157871E-02  6.0185064E-02  1.2403995E-01  1.6446887E-01  1.9914178E+00  4.0610816E-01  5.9582513E-01  6.0206313E-02  3.9157871E-02  1.0186957E-02  0.0000000E+00  1.2122044E-02
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  0.0000000E+00  1.6422426E-02  4.4329408E-02  6.4667279E-02  1.2592941E-01  1.6560070E-01  1.9680848E+00  4.0792260E-01  6.0020643E-01  6.4697026E-02  4.4329408E-02  1.6422426E-02  0.0000000E+00  1.3026720E-02
  0.0000000E+00  1.9201442E-02  4.6618744E-02  6.6637863E-02  1.2670851E-01  1.6601291E-01  1.9542716E+00  4.0855049E-01  6.0195941E-01  6.6671517E-02  4.6618744E-02  1.9201442E-02  0.0000000E+00  1.3480081E-02
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  0.0000000E+00  2.6409947E-02  5.2499633E-02  7.1649941E-02  1.2849682E-01  1.6674801E-01  1.9073013E+00  4.0953545E-01  6.0579396E-01  7.1694152E-02  5.2499633E-02  2.6409947E-02  0.0000000E+00  1.4844286E-02
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  0.0000000E+00  4.2028484E-02  6.4773146E-02  8.1706730E-02  1.3048269E-01  1.6569301E-01  1.7312525E+00  4.0664740E-01  6.0847967E-01  8.1777004E-02  6.4773146E-02  4.2028484E-02  0.0000000E+00  1.9437132E-02
  8.5033096E-04  4.3101038E-02  6.5576628E-02  8.2331623E-02  1.3046213E-01  1.6540326E-01  1.7118877E+00  4.0603769E-01  6.0819722E-01  8.2403940E-02  6.5576628E-02  4.3101038E-02  8.5033096E-04  1.9898216E-02
  2.4124596E-03  4.4107526E-02  6.6322701E-02  8.2905850E-02  1.3041226E-01  1.6508931E-01  1.6910811E+00  4.0538726E-01  6.0784364E-01  8.2980134E-02  6.6322701E-02  4.4107526E-02  2.4124596E-03  2.0358308E-02
  3.8945015E-03  4.5052151E-02  6.7015041E-02  8.3431615E-02  1.3033402E-01  1.6475189E-01  1.6706396E+00  4.0469821E-01  6.0742294E-01  8.3507794E-02  6.7015041E-02  4.5052151E-02  3.8945015E-03  2.0819421E-02
  5.3014582E-03  4.5938951E-02  6.7657272E-02  8.3912284E-02  1.3022972E-01  1.6439319E-01  1.6505654E+00  4.0397411E-01  6.0694035E-01  8.3990290E-02  6.7657272E-02  4.5938951E-02  5.3014582E-03  2.1281561E-02
  6.6379483E-03  4.6771654E-02  6.8252733E-02  8.4350958E-02  1.3010151E-01  1.6401523E-01  1.6308588E+00  4.0321819E-01  6.0640068E-01  8.4430727E-02  6.8252733E-02  4.6771654E-02  6.6379483E-03  2.1744732E-02
  7.9082425E-03  4.7553701E-02  6.8804503E-02  8.4750497E-02  1.2995133E-01  1.6361985E-01  1.6115186E+00  4.0243342E-01  6.0580835E-01  8.4831967E-02  6.8804503E-02  4.7553701E-02  7.9082425E-03  2.2208942E-02
  9.1162943E-03  4.8288275E-02  6.9315431E-02  8.5113538E-02  1.2978100E-01  1.6320871E-01  1.5925427E+00  4.0162251E-01  6.0516740E-01  8.5196650E-02  6.9315431E-02  4.8288275E-02  9.1162943E-03  2.2674195E-02
  1.0265768E-02  4.8978319E-02  6.9788146E-02  8.5442518E-02  1.2959216E-01  1.6278337E-01  1.5739280E+00  4.0078794E-01  6.0448160E-01  8.5527216E-02  6.9788146E-02  4.8978319E-02  1.0265768E-02  2.3140498E-02
  1.1360066E-02  4.9626565E-02  7.0225086E-02  8.5739692E-02  1.2938634E-01  1.6234522E-01  1.5556704E+00  3.9993201E-01  6.0375439E-01  8.5825923E-02  7.0225086E-02  4.9626565E-02  1.1360066E-02  2.3607857E-02
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  1.5245465E-02  5.1849574E-02  7.1657871E-02  8.6649833E-02  1.2841971E-01  1.6048891E-01  1.4861123E+00  3.9633395E-01  6.0049166E-01  8.6741709E-02  7.1657871E-02  5.1849574E-02  1.5245465E-02  2.5487970E-02
  1.6107112E-02  5.2323406E-02  7.1946724E-02  8.6816398E-02  1.2814797E-01  1.6000413E-01  1.4695625E+00  3.9539936E-01  5.9960063E-01  8.6909573E-02  7.1946724E-02  5.2323406E-02  1.6107112E-02  2.5960699E-02
  1.6929564E-02  5.2768200E-02  7.2211150E-02  8.6961619E-02  1.2786620E-01  1.5951288E-01  1.4533362E+00  3.9445368E-01  5.9868406E-01  8.7056053E-02  7.2211150E-02  5.2768200E-02  1.6929564E-02  2.6434520E-02
  1.7714896E-02  5.3185604E-02  7.2452606E-02  8.7086836E-02  1.2757525E-01  1.5901592E-01  1.4374271E+00  3.9349817E-01  5.9774395E-01  8.7182489E-02  7.2452606E-02  5.3185604E-02  1.7714896E-02  2.6909440E-02
  1.8465052E-02  5.3577155E-02  7.2672453E-02  8.7193296E-02  1.2727595E-01  1.5851397E-01  1.4218285E+00  3.9253400E-01  5.9678217E-01  8.7290131E-02  7.2672453E-02  5.3577155E-02  1.8465052E-02  2.7385466E-02
  1.9181849E-02  5.3944291E-02  7.2871960E-02  8.7282161E-02  1.2696903E-01  1.5800770E-01  1.4065339E+00  3.9156225E-01  5.9580043E-01  8.7380142E-02  7.2871960E-02  5.3944291E-02  1.9181849E-02  2.7862604E-02
  1.9866992E-02  5.4288356E-02  7.3052312E-02  8.7354516E-02  1.2665519E-01  1.5749769E-01  1.3915367E+00  3.9058391E-01  5.9480035E-01  8.7453607E-02  7.3052312E-02  5.4288356E-02  1.9866992E-02  2.8340860E-02
  2.0522078E-02  5.4610609E-02  7.3214616E-02  8.7411373E-02  1.2633505E-01  1.5698452E-01  1.3768303E+00  3.8959991E-01  5.9378342E-01  8.7511542E-02  7.3214616E-02  5.4610609E-02  2.0522078E-02  2.8820242E-02
  2.1148610E-02  5.4912228E-02  7.3359911E-02  8.7453678E-02  1.2600922E-01  1.5646869E-01  1.3624081E+00  3.8861108E-01  5.9275103E-01  8.7554893E-02  7.3359911E-02  5.4912228E-02  2.1148610E-02  2.9300755E-02
  2.1747994E-02  5.5194320E-02  7.3489165E-02  8.7482315E-02  1.2567824E-01  1.5595068E-01  1.3482635E+00  3.8761821E-01  5.9170448E-01  8.7584545E-02  7.3489165E-02  5.5194320E-02  2.1747994E-02  2.9782407E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.1785121E-02  7.1489935E-02  1.1758359E-01  1.3006210E+00  3.8451784E-01  5.8407277E-01  1.1825739E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.6109145E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.6043266E-02  7.3583696E-02  1.1856198E-01  1.3601437E+00  3.8679585E-01  5.9004782E-01  1.6069482E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.8071058E-03
  0.0000000E+00  0.0000000E+00  7.1659978E-04  2.0167127E-02  7.5494042E-02  1.1943461E-01  1.4025703E+00  3.8848776E-01  5.9485665E-01  2.0207048E-02  7.1659978E-04  0.0000000E+00  0.0000000E+00  8.0728437E-03
  0.0000000E+00  0.0000000E+00  5.0244309E-03  2.3898214E-02  7.7207418E-02  1.2017648E-01  1.4261079E+00  3.8968155E-01  5.9870537E-01  2.3946751E-02  5.0244309E-03  0.0000000E+00  0.0000000E+00  8.4191230E-03
  0.0000000E+00  0.0000000E+00  8.8888239E-03  2.7237034E-02  7.8726117E-02  1.2078185E-01  1.4410099E+00  3.9045067E-01  6.0175030E-01  2.7293314E-02  8.8888239E-03  0.0000000E+00  0.0000000E+00  8.7658492E-03
  0.0000000E+00  0.0000000E+00  1.2361930E-02  3.0228373E-02  8.0064414E-02  1.2125984E-01  1.4491553E+00  3.9086286E-01  6.0411878E-01  3.0291650E-02  1.2361930E-02  0.0000000E+00  0.0000000E+00  9.1130238E-03
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  0.0000000E+00  1.2767633E-02  3.1901956E-02  4.6680278E-02  8.6250542E-02  1.2142404E-01  1.3525084E+00  3.8516065E-01  6.0734960E-01  4.6785409E-02  3.1901956E-02  1.2767633E-02  0.0000000E+00  1.2255940E-02
  0.0000000E+00  1.4421702E-02  3.3206902E-02  4.7731823E-02  8.6484100E-02  1.2112590E-01  1.3345260E+00  3.8391939E-01  6.0650817E-01  4.7840098E-02  3.3206902E-02  1.4421702E-02  0.0000000E+00  1.2607498E-02
  0.0000000E+00  1.5943808E-02  3.4397329E-02  4.8681149E-02  8.6658471E-02  1.2078930E-01  1.3164033E+00  3.8261403E-01  6.0552760E-01  4.8792366E-02  3.4397329E-02  1.5943808E-02  0.0000000E+00  1.2959576E-02
  0.0000000E+00  1.7346157E-02  3.5484018E-02  4.9538070E-02  8.6779839E-02  1.2041914E-01  1.2982424E+00  3.8125450E-01  6.0442524E-01  4.9652043E-02  3.5484018E-02  1.7346157E-02  0.0000000E+00  1.3312176E-02
  0.0000000E+00  1.8639605E-02  3.6476558E-02  5.0311312E-02  8.6853718E-02  1.2001974E-01  1.2801251E+00  3.7984939E-01  6.0321625E-01  5.0427871E-02  3.6476558E-02  1.8639605E-02  0.0000000E+00  1.3665300E-02
  0.0000000E+00  1.9833834E-02  3.7383503E-02  5.1008654E-02  8.6885032E-02  1.1959494E-01  1.2621172E+00  3.7840621E-01  6.0191393E-01  5.1127643E-02  3.7383503E-02  1.9833834E-02  0.0000000E+00  1.4018951E-02
  0.0000000E+00  2.0937498E-02  3.8212496E-02  5.1637047E-02  8.6878176E-02  1.1914814E-01  1.2442712E+00  3.7693147E-01  6.0052996E-01  5.1758320E-02  3.8212496E-02  2.0937498E-02  0.0000000E+00  1.4373130E-02
  0.0000000E+00  2.1958350E-02  3.8970382E-02  5.2202708E-02  8.6837084E-02  1.1868234E-01  1.2266287E+00  3.7543085E-01  5.9907463E-01  5.2326133E-02  3.8970382E-02  2.1958350E-02  0.0000000E+00  1.4727838E-02
  0.0000000E+00  2.2903350E-02  3.9663304E-02  5.2711214E-02  8.6765277E-02  1.1820021E-01  1.2092224E+00  3.7390934E-01  5.9755701E-01  5.2836667E-02  3.9663304E-02  2.2903350E-02  0.0000000E+00  1.5083080E-02
  0.0000000E+00  2.3778760E-02  4.0296784E-02  5.3167576E-02  8.6665910E-02  1.1770412E-01  1.1920777E+00  3.7237127E-01  5.9598513E-01  5.3294942E-02  4.0296784E-02  2.3778760E-02  0.0000000E+00  1.5438855E-02
  0.0000000E+00  2.4590229E-02  4.0875799E-02  5.3576303E-02  8.6541818E-02  1.1719617E-01  1.1752140E+00  3.7082044E-01  5.9436610E-01  5.3705476E-02  4.0875799E-02  2.4590229E-02  0.0000000E+00  1.5795167E-02
  0.0000000E+00  2.5342857E-02  4.1404842E-02  5.3941461E-02  8.6395544E-02  1.1667823E-01  1.1586457E+00  3.6926019E-01  5.9270623E-01  5.4072343E-02  4.1404842E-02  2.5342857E-02  0.0000000E+00  1.6152018E-02
  0.0000000E+00  2.6041262E-02  4.1887974E-02  5.4266724E-02  8.6229378E-02  1.1615196E-01  1.1423831E+00  3.6769343E-01  5.9101113E-01  5.4399221E-02  4.1887974E-02  2.6041262E-02  0.0000000E+00  1.6509409E-02
  0.0000000E+00  2.6689631E-02  4.2328873E-02  5.4555413E-02  8.6045382E-02  1.1561884E-01  1.1264333E+00  3.6612272E-01  5.8928578E-01  5.4689441E-02  4.2328873E-02  2.6689631E-02  0.0000000E+00  1.6867343E-02
  5.1509042E-04  2.7291677E-02  4.2730737E-02  5.4811319E-02  8.5846062E-02  1.1508073E-01  1.1095526E+00  3.6455054E-01  5.8753483E-01  5.4946796E-02  4.2730737E-02  2.7291677E-02  5.1509042E-04  1.7223978E-02
  1.4572359E-03  2.7850215E-02  4.3095653E-02  5.5035916E-02  8.5631169E-02  1.1453636E-01  1.0919517E+00  3.6297481E-01  5.8575785E-01  5.5172771E-02  4.3095653E-02  2.7850215E-02  1.4572359E-03  1.7579648E-02
  2.3459721E-03  2.8368277E-02  4.3426257E-02  5.5230681E-02  8.5401209E-02  1.1398575E-01  1.0747935E+00  3.6139603E-01  5.8395703E-01  5.5368843E-02  4.3426257E-02  2.8368277E-02  2.3459721E-03  1.7936092E-02
  3.1848815E-03  2.8848754E-02  4.3725117E-02  5.5397958E-02  8.5157739E-02  1.1343008E-01  1.0580685E+00  3.5981606E-01  5.8213580E-01  5.5537365E-02  4.3725117E-02  2.8848754E-02  3.1848815E-03  1.8293315E-02
  3.9772564E-03  2.9294296E-02  4.3994590E-02  5.5539895E-02  8.4902170E-02  1.1287040E-01  1.0417664E+00  3.5823654E-01  5.8029722E-01  5.5680485E-02  4.3994590E-02  2.9294296E-02  3.9772564E-03  1.8651320E-02
  4.7261270E-03  2.9707337E-02  4.4236834E-02  5.5658455E-02  8.4635785E-02  1.1230767E-01  1.0258769E+00  3.5665892E-01  5.7844409E-01  5.5800172E-02  4.4236834E-02  2.9707337E-02  4.7261270E-03  1.9010113E-02
  5.4342855E-03  3.0090116E-02  4.4453829E-02  5.5755439E-02  8.4359750E-02  1.1174273E-01  1.0103892E+00  3.5508451E-01  5.7657892E-01  5.5898227E-02  4.4453829E-02  3.0090116E-02  5.4342855E-03  1.9369698E-02
  6.1043084E-03  3.0444691E-02  4.4647397E-02  5.5832497E-02  8.4075127E-02  1.1117635E-01  9.9529257E-01  3.5351445E-01  5.7470399E-01  5.5976306E-02  4.4647397E-02  3.0444691E-02  6.1043084E-03  1.9730078E-02
  6.7385761E-03  3.0772962E-02  4.4819212E-02  5.5891145E-02  8.3782882E-02  1.1060920E-01  9.8057635E-01  3.5194976E-01  5.7282135E-01  5.6035926E-02  4.4819212E-02  3.0772962E-02  6.7385761E-03  2.0091259E-02
  7.3392902E-03  3.1076682E-02  4.4970818E-02  5.5932777E-02  8.3483894E-02  1.1004191E-01  9.6622978E-01  3.5039133E-01  5.7093287E-01  5.6078484E-02  4.4970818E-02  3.1076682E-02  7.3392902E-03  2.0453245E-02
  7.9084887E-03  3.1357466E-02  4.5103634E-02  5.5958676E-02  8.3178966E-02  1.0947502E-01  9.5224224E-01  3.4883996E-01  5.6904024E-01  5.6105265E-02  4.5103634E-02  3.1357466E-02  7.9084887E-03  2.0816040E-02
  8.4480616E-03  3.1616812E-02  4.5218975E-02  5.5970021E-02  8.2868830E-02  1.0890902E-01  9.3860328E-01  3.4729636E-01  5.6714498E-01  5.6117451E-02  4.5218975E-02  3.1616812E-02  8.4480616E-03  2.1179649E-02
  8.9597628E-03  3.1856103E-02  4.5318051E-02  5.5967903E-02  8.2554152E-02  1.0834435E-01  9.2530260E-01  3.4576115E-01  5.6524848E-01  5.6116135E-02  4.5318051E-02  3.1856103E-02  8.9597628E-03  2.1544077E-02
  9.4452215E-03  3.2076624E-02  4.5401984E-02  5.5953325E-02  8.2235543E-02  1.0778140E-01  9.1233012E-01  3.4423485E-01  5.6335199E-01  5.6102321E-02  4.5401984E-02  3.2076624E-02  9.4452215E-03  2.1909328E-02
  9.9059532E-03  3.2279563E-02  4.5471809E-02  5.5927216E-02  8.1913558E-02  1.0722053E-01  8.9967596E-01  3.4271796E-01  5.6145665E-01  5.6076940E-02  4.5471809E-02  3.2279563E-02  9.9059532E-03  2.2275407E-02
  1.0343368E-02  3.2466024E-02  4.5528489E-02  5.5890432E-02  8.1588705E-02  1.0666205E-01  8.8733050E-01  3.4121087E-01  5.5956348E-01  5.6040851E-02  4.5528489E-02  3.2466024E-02  1.0343368E-02  2.2642318E-02
  1.0758781E-02  3.2637034E-02  4.5572912E-02  5.5843767E-02  8.1261448E-02  1.0610623E-01  8.7528433E-01  3.3971395E-01  5.5767341E-01  5.5994848E-02  4.5572912E-02  3.2637034E-02  1.0758781E-02  2.3010067E-02
  1.1153416E-02  3.2793546E-02  4.5605905E-02  5.5787954E-02  8.0932212E-02  1.0555332E-01  8.6352835E-01  3.3822751E-01  5.5578728E-01  5.5939667E-02  4.5605905E-02  3.2793546E-02  1.1153416E-02  2.3378658E-02
  1.1528419E-02  3.2936448E-02  4.5628235E-02  5.5723673E-02  8.0601384E-02  1.0500355E-01  8.5205365E-01  3.3675181E-01  5.5390586E-01  5.5875988E-02  4.5628235E-02  3.2936448E-02  1.1528419E-02  2.3748096E-02
  1.1884858E-02  3.3066566E-02  4.5640614E-02  5.5651554E-02  8.0269319E-02  1.0445710E-01  8.4085165E-01  3.3528707E-01  5.5202982E-01  5.5804444E-02  4.5640614E-02  3.3066566E-02  1.1884858E-02  2.4118385E-02
  1.2223733E-02  3.3184673E-02  4.5643705E-02  5.5572182E-02  7.9936339E-02  1.0391415E-01  8.2991396E-01  3.3383348E-01  5.5015980E-01  5.5725620E-02  4.5643705E-02  3.3184673E-02  1.2223733E-02  2.4489532E-02
  1.2545979E-02  3.3291486E-02  4.5638123E-02  5.5486100E-02  7.9602742E-02  1.0337484E-01  8.1923252E-01  3.3239121E-01  5.4829634E-01  5.5640060E-02  4.5638123E-02  3.3291486E-02  1.2545979E-02  2.4861540E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.0155127E-02  5.8150943E-02  1.0196106E-01  1.1349890E+00  3.8913709E-01  6.0917993E-01  1.0232498E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.4960288E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.3808673E-02  5.9968630E-02  1.0239072E-01  1.1796353E+00  3.8933599E-01  6.1253398E-01  1.3878537E-02  0.0000000E+00  0.0000000E+00  0.0000000E+00  7.6709261E-03
  0.0000000E+00  0.0000000E+00  6.0784343E-04  1.7273303E-02  6.1594139E-02  1.0275200E-01  1.2095579E+00  3.8909660E-01  6.1486201E-01  1.7359221E-02  6.0784343E-04  0.0000000E+00  0.0000000E+00  7.8994903E-03
  0.0000000E+00  0.0000000E+00  4.2435938E-03  2.0378946E-02  6.3024139E-02  1.0301971E-01  1.2233600E+00  3.8849137E-01  6.1635998E-01  2.0472897E-02  4.2435938E-03  0.0000000E+00  0.0000000E+00  8.1979662E-03
  0.0000000E+00  0.0000000E+00  7.4769432E-03  2.3130470E-02  6.4266860E-02  1.0318688E-01  1.2299741E+00  3.8758154E-01  6.1717603E-01  2.3231541E-02  7.4769432E-03  0.0000000E+00  0.0000000E+00  8.4968213E-03
  0.0000000E+00  0.0000000E+00  1.0358342E-02  2.5571272E-02  6.5339551E-02  1.0326052E-01  1.2310636E+00  3.8642558E-01  6.1743183E-01  2.5678689E-02  1.0358342E-02  0.0000000E+00  0.0000000E+00  8.7960567E-03
  0.0000000E+00  0.0000000E+00  1.2931573E-02  2.7739463E-02  6.6259597E-02  1.0324936E-01  1.2279007E+00  3.8507099E-01  6.1722521E-01  2.7852566E-02  1.2931573E-02  0.0000000E+00  0.0000000E+00  9.0956738E-03
  0.0000000E+00  0.0000000E+00  1.5234451E-02  2.9668236E-02  6.7043516E-02  1.0316257E-01  1.2214656E+00  3.8355648E-01  6.1663549E-01  2.9786456E-02  1.5234451E-02  0.0000000E+00  0.0000000E+00  9.3956739E-03
  0.0000000E+00  0.0000000E+00  1.7299583E-02  3.1386385E-02  6.7706512E-02  1.0300905E-01  1.2125189E+00  3.8191372E-01  6.1572738E-01  3.1509229E-02  1.7299583E-02  0.0000000E+00  0.0000000E+00  9.6960581E-03
  0.0000000E+00  1.5986153E-03  1.9154613E-02  3.2918308E-02  6.8260814E-02  1.0279484E-01  1.1982011E+00  3.8016480E-01  6.1455075E-01  3.3045348E-02  1.9154613E-02  1.5986153E-03  0.0000000E+00  9.9964893E-03
  0.0000000E+00  3.6672597E-03  2.0822333E-02  3.4283202E-02  6.8714056E-02  1.0252102E-01  1.1813943E+00  3.7832011E-01  6.1313925E-01  3.4414075E-02  2.0822333E-02  3.6672597E-03  0.0000000E+00  1.0297208E-02
  0.0000000E+00  5.5449662E-03  2.2323466E-02  3.5499620E-02  6.9077582E-02  1.0219526E-01  1.1638838E+00  3.7639804E-01  6.1152892E-01  3.5633999E-02  2.2323466E-02  5.5449662E-03  0.0000000E+00  1.0598360E-02
  0.0000000E+00  7.2522784E-03  2.3676157E-02  3.6583969E-02  6.9361780E-02  1.0182485E-01  1.1459137E+00  3.7441470E-01  6.0975081E-01  3.6721565E-02  2.3676157E-02  7.2522784E-03  0.0000000E+00  1.0899946E-02
  0.0000000E+00  8.8071410E-03  2.4896276E-02  3.7550607E-02  6.9575815E-02  1.0141618E-01  1.1276765E+00  3.7238362E-01  6.0783129E-01  3.7691160E-02  2.4896276E-02  8.8071410E-03  0.0000000E+00  1.1201970E-02
  0.0000000E+00  1.0225272E-02  2.5997731E-02  3.8412123E-02  6.9727772E-02  1.0097485E-01  1.1093245E+00  3.7031622E-01  6.0579282E-01  3.8555399E-02  2.5997731E-02  1.0225272E-02  0.0000000E+00  1.1504432E-02
  0.0000000E+00  1.1520479E-02  2.6992746E-02  3.9179576E-02  6.9824783E-02  1.0050579E-01  1.0909772E+00  3.6822210E-01  6.0365457E-01  3.9325363E-02  2.6992746E-02  1.1520479E-02  0.0000000E+00  1.1807334E-02
  0.0000000E+00  1.2704920E-02  2.7892083E-02  3.9862707E-02  6.9873142E-02  1.0001330E-01  1.0727289E+00  3.6610940E-01  6.0143299E-01  4.0010812E-02  2.7892083E-02  1.2704920E-02  0.0000000E+00  1.2110677E-02
  0.0000000E+00  1.3789334E-02  2.8705247E-02  4.0470109E-02  6.9878411E-02  9.9501137E-02  1.0546529E+00  3.6398496E-01  5.9914220E-01  4.0620359E-02  2.8705247E-02  1.3789334E-02  0.0000000E+00  1.2414464E-02
  0.0000000E+00  1.4783229E-02  2.9440651E-02  4.1009385E-02  6.9845505E-02  9.8972606E-02  1.0368060E+00  3.6185459E-01  5.9679436E-01  4.1161620E-02  2.9440651E-02  1.4783229E-02  0.0000000E+00  1.2718695E-02
  0.0000000E+00  1.5695043E-02  3.0105756E-02  4.1487273E-02  6.9778776E-02  9.8430588E-02  1.0192319E+00  3.5972319E-01  5.9439995E-01  4.1641348E-02  3.0105756E-02  1.5695043E-02  0.0000000E+00  1.3023374E-02
  0.0000000E+00  1.6532288E-02  3.0707197E-02  4.1909757E-02  6.9682083E-02  9.7877606E-02  1.0019634E+00  3.5759489E-01  5.9196804E-01  4.2065539E-02  3.0707197E-02  1.6532288E-02  0.0000000E+00  1.3328500E-02
  0.0000000E+00  1.7301660E-02  3.1250887E-02  4.2282165E-02  6.9558846E-02  9.7315866E-02  9.8502482E-01  3.5547320E-01  5.8950649E-01  4.2439532E-02  3.1250887E-02  1.7301660E-02  0.0000000E+00  1.3634077E-02
  0.0000000E+00  1.8009147E-02  3.1742106E-02  4.2609249E-02  6.9412107E-02  9.6747297E-02  9.6843350E-01  3.5336107E-01  5.8702210E-01  4.2768090E-02  3.1742106E-02  1.8009147E-02  0.0000000E+00  1.3940105E-02
  0.0000000E+00  1.8660116E-02  3.2185577E-02  4.2895256E-02  6.9244571E-02  9.6173591E-02  9.5220118E-01  3.5126096E-01  5.8452079E-01  4.3055467E-02  3.2185577E-02  1.8660116E-02  0.0000000E+00  1.4246587E-02
  0.0000000E+00  1.9259383E-02  3.2585540E-02  4.3143988E-02  6.9058645E-02  9.5596221E-02  9.3633512E-01  3.4917495E-01  5.8200769E-01  4.3305473E-02  3.2585540E-02  1.9259383E-02  0.0000000E+00  1.4553524E-02
  0.0000000E+00  1.9811283E-02  3.2945799E-02  4.3358856E-02  6.8856477E-02  9.5016481E-02  9.2083895E-01  3.4710478E-01  5.7948727E-01  4.3521528E-02  3.2945799E-02  1.9811283E-02  0.0000000E+00  1.4860918E-02
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  0.0000000E+00  2.0788229E-02  3.3560575E-02  4.3698954E-02  6.8410881E-02  9.3854259E-02  8.9095699E-01  3.4301745E-01  5.7443950E-01  4.3863760E-02  3.3560575E-02  2.0788229E-02  0.0000000E+00  1.5477084E-02
  3.8985923E-04  2.1219923E-02  3.3820851E-02  4.3830094E-02  6.8171252E-02  9.3274078E-02  8.7558073E-01  3.4100250E-01  5.7191836E-01  4.3995858E-02  3.3820851E-02  2.1219923E-02  3.8985923E-04  1.5784167E-02
  1.1010372E-03  2.1617168E-02  3.4052350E-02  4.3937530E-02  6.7920869E-02  9.2693593E-02  8.5974748E-01  3.3900345E-01  5.6939739E-01  4.4104190E-02  3.4052350E-02  2.1617168E-02  1.1010372E-03  1.6090316E-02
  1.7695365E-03  2.1982499E-02  3.4257261E-02  4.4022443E-02  6.7660110E-02  9.2112596E-02  8.4437025E-01  3.3701991E-01  5.6687763E-01  4.4189939E-02  3.4257261E-02  2.1982499E-02  1.7695365E-03  1.6397123E-02
  2.3983395E-03  2.2318317E-02  3.4437708E-02  4.4086751E-02  6.7390235E-02  9.1531885E-02  8.2943542E-01  3.3505275E-01  5.6436135E-01  4.4255027E-02  3.4437708E-02  2.2318317E-02  2.3983395E-03  1.6704593E-02
  2.9901790E-03  2.2626817E-02  3.4595631E-02  4.4132199E-02  6.7112384E-02  9.0952161E-02  8.1492933E-01  3.3310274E-01  5.6185059E-01  4.4301202E-02  3.4595631E-02  2.2626817E-02  2.9901790E-03  1.7012729E-02
  3.5475634E-03  2.2910007E-02  3.4732798E-02  4.4160376E-02  6.6827582E-02  9.0374044E-02  8.0083841E-01  3.3117047E-01  5.5934712E-01  4.4330058E-02  3.4732798E-02  2.2910007E-02  3.5475634E-03  1.7321536E-02
  4.0727973E-03  2.3169727E-02  3.4850829E-02  4.4172733E-02  6.6536756E-02  8.9798077E-02  7.8714925E-01  3.2925647E-01  5.5685253E-01  4.4343048E-02  3.4850829E-02  2.3169727E-02  4.0727973E-03  1.7631016E-02
  4.5680017E-03  2.3407666E-02  3.4951203E-02  4.4170594E-02  6.6240742E-02  8.9224736E-02  7.7384863E-01  3.2736112E-01  5.5436820E-01  4.4341499E-02  3.4951203E-02  2.3407666E-02  4.5680017E-03  1.7941173E-02
  5.0351305E-03  2.3625374E-02  3.5035278E-02  4.4155171E-02  6.5940296E-02  8.8654439E-02  7.6092362E-01  3.2548477E-01  5.5189534E-01  4.4326624E-02  3.5035278E-02  2.3625374E-02  5.0351305E-03  1.8252011E-02
  5.4759862E-03  2.3824277E-02  3.5104298E-02  4.4127570E-02  6.5636103E-02  8.8087552E-02  7.4836159E-01  3.2362765E-01  5.4943503E-01  4.4299533E-02  3.5104298E-02  2.3824277E-02  5.4759862E-03  1.8563534E-02
  5.8922335E-03  2.4005688E-02  3.5159407E-02  4.4088807E-02  6.5328779E-02  8.7524393E-02  7.3615023E-01  3.2178994E-01  5.4698818E-01  4.4261243E-02  3.5159407E-02  2.4005688E-02  5.8922335E-03  1.8875745E-02
  6.2854116E-03  2.4170817E-02  3.5201654E-02  4.4039810E-02  6.5018884E-02  8.6965236E-02  7.2427756E-01  3.1997176E-01  5.4455563E-01  4.4212686E-02  3.5201654E-02  2.4170817E-02  6.2854116E-03  1.9188649E-02
  6.6569450E-03  2.4320779E-02  3.5232007E-02  4.3981434E-02  6.4706923E-02  8.6410322E-02  7.1273198E-01  3.1817318E-01  5.4213806E-01  4.4154718E-02  3.5232007E-02  2.4320779E-02  6.6569450E-03  1.9502249E-02
  7.0081541E-03  2.4456606E-02  3.5251355E-02  4.3914463E-02  6.4393355E-02  8.5859855E-02  7.0150224E-01  3.1639424E-01  5.3973610E-01  4.4088122E-02  3.5251355E-02  2.4456606E-02  7.0081541E-03  1.9816549E-02
  7.3402634E-03  2.4579249E-02  3.5260518E-02  4.3839615E-02  6.4078592E-02  8.5314010E-02  6.9057747E-01  3.1463491E-01  5.3735026E-01  4.4013623E-02  3.5260518E-02  2.4579249E-02  7.3402634E-03  2.0131553E-02
  7.6544102E-03  2.4689589E-02  3.5260254E-02  4.3757553E-02  6.3763009E-02  8.4772936E-02  6.7994716E-01  3.1289516E-01  5.3498099E-01  4.3931882E-02  3.5260254E-02  2.4689589E-02  7.6544102E-03  2.0447265E-02
  7.9516514E-03  2.4788444E-02  3.5251261E-02  4.3668888E-02  6.3446946E-02  8.4236757E-02  6.6960117E-01  3.1117490E-01  5.3262867E-01  4.3843512E-02  3.5251261E-02  2.4788444E-02  7.9516514E-03  2.0763689E-02
  8.2329703E-03  2.4876569E-02  3.5234185E-02  4.3574180E-02  6.3130707E-02  8.3705577E-02  6.5952970E-01  3.0947403E-01  5.3029361E-01  4.3749074E-02  3.5234185E-02  2.4876569E-02  8.2329703E-03  2.1080829E-02
  8.4992828E-03  2.4954666E-02  3.5209623E-02  4.3473948E-02  6.2814571E-02  8.3179480E-02  6.4972333E-01  3.0779243E-01  5.2797608E-01  4.3649089E-02  3.5209623E-02  2.4954666E-02  8.4992828E-03  2.1398689E-02
  8.7514424E-03  2.5023387E-02  3.5178127E-02  4.3368668E-02  6.2498787E-02  8.2658533E-02  6.4017298E-01  3.0612995E-01  5.2567629E-01  4.3544035E-02  3.5178127E-02  2.5023387E-02  8.7514424E-03  2.1717273E-02
  8.9902454E-03  2.5083338E-02  3.5140210E-02  4.3258781E-02  6.2183582E-02  8.2142790E-02  6.3086990E-01  3.0448644E-01  5.2339440E-01  4.3434353E-02  3.5140210E-02  2.5083338E-02  8.9902454E-03  2.2036586E-02
  9.2164353E-03  2.5135080E-02  3.5096345E-02  4.3144694E-02  6.1869159E-02  8.1632288E-02  6.2180567E-01  3.0286171E-01  5.2113054E-01  4.3320450E-02  3.5096345E-02  2.5135080E-02  9.2164353E-03  2.2356631E-02
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  0.0000000E+00  1.6306403E-02  2.6824491E-02  3.5231344E-02  5.4851376E-02  7.6109626E-02  7.1061028E-01  3.1933574E-01  5.5606121E-01  3.5421067E-02  2.6824491E-02  1.6306403E-02  0.0000000E+00  1.4152626E-02
  2.9684958E-04  1.6614683E-02  2.6984232E-02  3.5277592E-02  5.4592533E-02  7.5528104E-02  6.9666511E-01  3.1696329E-01  5.5283961E-01  3.5467736E-02  2.6984232E-02  1.6614683E-02  2.9684958E-04  1.4416646E-02
  8.3684778E-04  1.6895615E-02  2.7121595E-02  3.5306005E-02  5.4326565E-02  7.4950185E-02  6.8245736E-01  3.1462463E-01  5.4964452E-01  3.5496518E-02  2.7121595E-02  1.6895615E-02  8.3684778E-04  1.4679771E-02
  1.3425735E-03  1.7151323E-02  2.7238402E-02  3.5317522E-02  5.4053747E-02  7.4375520E-02  6.6870862E-01  3.1231841E-01  5.4647567E-01  3.5508358E-02  2.7238402E-02  1.7151323E-02  1.3425735E-03  1.4943456E-02
  1.8165222E-03  1.7383810E-02  2.7336415E-02  3.5313714E-02  5.3775107E-02  7.3804627E-02  6.5540223E-01  3.1004458E-01  5.4333414E-01  3.5504829E-02  2.7336415E-02  1.7383810E-02  1.8165222E-03  1.5207704E-02
  2.2609739E-03  1.7594899E-02  2.7417230E-02  3.5296001E-02  5.3491563E-02  7.3237951E-02  6.4252188E-01  3.0780300E-01  5.4022086E-01  3.5487355E-02  2.7417230E-02  1.7594899E-02  2.2609739E-03  1.5472517E-02
  2.6780149E-03  1.7786253E-02  2.7482302E-02  3.5265673E-02  5.3203937E-02  7.2675872E-02  6.3005164E-01  3.0559348E-01  5.3713654E-01  3.5457228E-02  2.7482302E-02  1.7786253E-02  2.6780149E-03  1.5737900E-02
  3.0695565E-03  1.7959391E-02  2.7532952E-02  3.5223898E-02  5.2912965E-02  7.2118711E-02  6.1797605E-01  3.0341576E-01  5.3408177E-01  3.5415619E-02  2.7532952E-02  1.7959391E-02  3.0695565E-03  1.6003855E-02
  3.4373525E-03  1.8115698E-02  2.7570387E-02  3.5171738E-02  5.2619304E-02  7.1566740E-02  6.0628010E-01  3.0126953E-01  5.3105700E-01  3.5363592E-02  2.7570387E-02  1.8115698E-02  3.4373525E-03  1.6270386E-02
  3.7830140E-03  1.8256446E-02  2.7595705E-02  3.5110159E-02  5.2323545E-02  7.1020186E-02  5.9494927E-01  2.9915445E-01  5.2806256E-01  3.5302116E-02  2.7595705E-02  1.8256446E-02  3.7830140E-03  1.6537494E-02
  4.1080230E-03  1.8382798E-02  2.7609910E-02  3.5040039E-02  5.2026214E-02  7.0479237E-02  5.8396958E-01  2.9707012E-01  5.2509869E-01  3.5232072E-02  2.7609910E-02  1.8382798E-02  4.1080230E-03  1.6805184E-02
  4.4137444E-03  1.8495821E-02  2.7613921E-02  3.4962181E-02  5.1727786E-02  6.9944047E-02  5.7332751E-01  2.9501615E-01  5.2216552E-01  3.5154261E-02  2.7613921E-02  1.8495821E-02  4.4137444E-03  1.7073459E-02
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  4.9722617E-03  1.8685719E-02  2.7594650E-02  3.4786104E-02  5.1129283E-02  6.8891408E-02  5.5300484E-01  2.9099754E-01  5.1639154E-01  3.4978207E-02  2.7594650E-02  1.8685719E-02  4.9722617E-03  1.7611776E-02
  5.2272930E-03  1.8764325E-02  2.7572843E-02  3.4689160E-02  5.0829925E-02  6.8374128E-02  5.4329975E-01  2.8903199E-01  5.1355067E-01  3.4881241E-02  2.7572843E-02  1.8764325E-02  5.2272930E-03  1.7881824E-02
  5.4675239E-03  1.8833075E-02  2.7543804E-02  3.4587038E-02  5.0530913E-02  6.7862950E-02  5.3388333E-01  2.8709499E-01  5.1074042E-01  3.4779077E-02  2.7543804E-02  1.8833075E-02  5.4675239E-03  1.8152471E-02
  5.6938744E-03  1.8892673E-02  2.7508127E-02  3.4480247E-02  5.0232517E-02  6.7357910E-02  5.2474455E-01  2.8518605E-01  5.0796065E-01  3.4672226E-02  2.7508127E-02  1.8892673E-02  5.6938744E-03  1.8423718E-02
  5.9071973E-03  1.8943768E-02  2.7466359E-02  3.4369253E-02  4.9934977E-02  6.6859024E-02  5.1587282E-01  2.8330470E-01  5.0521117E-01  3.4561153E-02  2.7466359E-02  1.8943768E-02  5.9071973E-03  1.8695569E-02
  6.1082841E-03  1.8986961E-02  2.7419003E-02  3.4254482E-02  4.9638510E-02  6.6366296E-02  5.0725801E-01  2.8145045E-01  5.0249175E-01  3.4446286E-02  2.7419003E-02  1.8986961E-02  6.1082841E-03  1.8968029E-02
  6.2978699E-03  1.9022806E-02  2.7366521E-02  3.4136325E-02  4.9343307E-02  6.5879719E-02  4.9889043E-01  2.7962282E-01  4.9980216E-01  3.4328018E-02  2.7366521E-02  1.9022806E-02  6.2978699E-03  1.9241099E-02
  6.4766383E-03  1.9051818E-02  2.7309340E-02  3.4015140E-02  4.9049538E-02  6.5399272E-02  4.9076076E-01  2.7782132E-01  4.9714212E-01  3.4206707E-02  2.7309340E-02  1.9051818E-02  6.4766383E-03  1.9514785E-02
  6.6452254E-03  1.9074470E-02  2.7247854E-02  3.3891255E-02  4.8757354E-02  6.4924928E-02  4.8286013E-01  2.7604547E-01  4.9451133E-01  3.4082683E-02  2.7247854E-02  1.9074470E-02  6.6452254E-03  1.9789088E-02
  6.8042236E-03  1.9091203E-02  2.7182423E-02  3.3764973E-02  4.8466888E-02  6.4456649E-02  4.7517999E-01  2.7429478E-01  4.9190949E-01  3.3956248E-02  2.7182423E-02  1.9091203E-02  6.8042236E-03  2.0064013E-02
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  2.3061037E-04  1.3263752E-02  2.1948650E-02  2.8904648E-02  4.4628070E-02  6.1897950E-02  5.6548408E-01  2.9380493E-01  5.3170138E-01  2.9111878E-02  2.1948650E-02  1.3263752E-02  2.3061037E-04  1.3189898E-02
  6.4895847E-04  1.3464416E-02  2.2022582E-02  2.8882720E-02  4.4357132E-02  6.1342948E-02  5.5265538E-01  2.9122405E-01  5.2794558E-01  2.9089821E-02  2.2022582E-02  1.3464416E-02  6.4895847E-04  1.3417789E-02
  1.0393341E-03  1.3644860E-02  2.2080477E-02  2.8848044E-02  4.4081986E-02  6.0793509E-02  5.4028377E-01  2.8868979E-01  5.2423917E-01  2.9054985E-02  2.2080477E-02  1.3644860E-02  1.0393341E-03  1.3646159E-02
  1.4038554E-03  1.3806777E-02  2.2123809E-02  2.8801922E-02  4.3803470E-02  6.0249959E-02  5.2835018E-01  2.8620126E-01  5.2058207E-01  2.9008671E-02  2.2123809E-02  1.3806777E-02  1.4038554E-03  1.3875012E-02
  1.7444517E-03  1.3951700E-02  2.2153910E-02  2.8745522E-02  4.3522328E-02  5.9712562E-02  5.1683619E-01  2.8375755E-01  5.1697409E-01  2.8952053E-02  2.2153910E-02  1.3951700E-02  1.7444517E-03  1.4104349E-02
  2.0628831E-03  1.4081024E-02  2.2171986E-02  2.8679901E-02  4.3239220E-02  5.9181533E-02  5.0572407E-01  2.8135772E-01  5.1341493E-01  2.8886188E-02  2.2171986E-02  1.4081024E-02  2.0628831E-03  1.4334174E-02
  2.3607572E-03  1.4196017E-02  2.2179128E-02  2.8606009E-02  4.2954729E-02  5.8657040E-02  4.9499677E-01  2.7900084E-01  5.0990419E-01  2.8812030E-02  2.2179128E-02  1.4196017E-02  2.3607572E-03  1.4564489E-02
  2.6395451E-03  1.4297833E-02  2.2176327E-02  2.8524708E-02  4.2669373E-02  5.8139214E-02  4.8463792E-01  2.7668597E-01  5.0644143E-01  2.8730441E-02  2.2176327E-02  1.4297833E-02  2.6395451E-03  1.4795296E-02
  2.9005941E-03  1.4387525E-02  2.2164483E-02  2.8436774E-02  4.2383610E-02  5.7628151E-02  4.7463185E-01  2.7441216E-01  5.0302611E-01  2.8642200E-02  2.2164483E-02  1.4387525E-02  2.9005941E-03  1.5026598E-02
  3.1451400E-03  1.4466054E-02  2.2144413E-02  2.8342912E-02  4.2097847E-02  5.7123917E-02  4.6496356E-01  2.7217849E-01  4.9965767E-01  2.8548013E-02  2.2144413E-02  1.4466054E-02  3.1451400E-03  1.5258399E-02
  3.3743181E-03  1.4534298E-02  2.2116861E-02  2.8243759E-02  4.1812442E-02  5.6626555E-02  4.5561872E-01  2.6998403E-01  4.9633551E-01  2.8448519E-02  2.2116861E-02  1.4534298E-02  3.3743181E-03  1.5490700E-02
  3.5891720E-03  1.4593061E-02  2.2082506E-02  2.8139894E-02  4.1527711E-02  5.6136084E-02  4.4658363E-01  2.6782787E-01  4.9305897E-01  2.8344298E-02  2.2082506E-02  1.4593061E-02  3.5891720E-03  1.5723504E-02
  3.7906626E-03  1.4643078E-02  2.2041965E-02  2.8031841E-02  4.1243936E-02  5.5652505E-02  4.3784522E-01  2.6570911E-01  4.8982739E-01  2.8235876E-02  2.2041965E-02  1.4643078E-02  3.7906626E-03  1.5956814E-02
  3.9796756E-03  1.4685025E-02  2.1995801E-02  2.7920075E-02  4.0961362E-02  5.5175802E-02  4.2939103E-01  2.6362687E-01  4.8664009E-01  2.8123728E-02  2.1995801E-02  1.4685025E-02  3.9796756E-03  1.6190633E-02
  4.1570282E-03  1.4719521E-02  2.1944531E-02  2.7805030E-02  4.0680207E-02  5.4705945E-02  4.2120916E-01  2.6158029E-01  4.8349635E-01  2.8008289E-02  2.1944531E-02  1.4719521E-02  4.1570282E-03  1.6424964E-02
  4.3234753E-03  1.4747134E-02  2.1888623E-02  2.7687098E-02  4.0400660E-02  5.4242891E-02  4.1328829E-01  2.5956851E-01  4.8039546E-01  2.7889953E-02  2.1888623E-02  1.4747134E-02  4.3234753E-03  1.6659809E-02
  4.4797149E-03  1.4768389E-02  2.1828510E-02  2.7566637E-02  4.0122889E-02  5.3786588E-02  4.0561760E-01  2.5759071E-01  4.7733672E-01  2.7769078E-02  2.1828510E-02  1.4768389E-02  4.4797149E-03  1.6895172E-02
  4.6263931E-03  1.4783766E-02  2.1764584E-02  2.7443971E-02  3.9847039E-02  5.3336975E-02  3.9818680E-01  2.5564606E-01  4.7431937E-01  2.7645990E-02  2.1764584E-02  1.4783766E-02  4.6263931E-03  1.7131054E-02
  4.7641088E-03  1.4793710E-02  2.1697208E-02  2.7319397E-02  3.9573236E-02  5.2893983E-02  3.9098609E-01  2.5373379E-01  4.7134272E-01  2.7520986E-02  2.1697208E-02  1.4793710E-02  4.7641088E-03  1.7367460E-02
  4.8934171E-03  1.4798629E-02  2.1626711E-02  2.7193183E-02  3.9301590E-02  5.2457536E-02  3.8400610E-01  2.5185311E-01  4.6840602E-01  2.7394335E-02  2.1626711E-02  1.4798629E-02  4.8934171E-03  1.7604392E-02
  5.0148335E-03  1.4798900E-02  2.1553397E-02  2.7065576E-02  3.9032194E-02  5.2027555E-02  3.7723794E-01  2.5000327E-01  4.6550856E-01  2.7266283E-02  2.1553397E-02  1.4798900E-02  5.0148335E-03  1.7841852E-02
  5.1288370E-03  1.4794872E-02  2.1477544E-02  2.6936798E-02  3.8765129E-02  5.1603954E-02  3.7067311E-01  2.4818354E-01  4.6264963E-01  2.7137056E-02  2.1477544E-02  1.4794872E-02  5.1288370E-03  1.8079845E-02
  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.3586367E-03  3.3676169E-02  6.5213369E-02  8.1768362E-01  3.8448700E-01  6.5667424E-01  6.5475495E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.6797979E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  8.8204228E-03  3.5081549E-02  6.5079442E-02  8.3784754E-01  3.7896735E-01  6.5175232E-01  9.0111605E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  6.7989937E-03
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  8.1571037E-04  1.0999696E-02  1.8136153E-02  2.3863759E-02  3.6479847E-02  5.0122537E-02  4.4269720E-01  2.6594179E-01  5.0050225E-01  2.4080937E-02  1.8136153E-02  1.0999696E-02  8.1571037E-04  1.2475933E-02
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  1.6111082E-03  1.1296575E-02  1.8125400E-02  2.3624492E-02  3.5656843E-02  4.8619069E-02  4.1166688E-01  2.5822436E-01  4.8848038E-01  2.3839789E-02  1.8125400E-02  1.1296575E-02  1.6111082E-03  1.3074957E-02
  1.8408764E-03  1.1371362E-02  1.8104043E-02  2.3531902E-02  3.5382144E-02  4.8132769E-02  4.0209497E-01  2.5575783E-01  4.8460594E-01  2.3746548E-02  1.8104043E-02  1.1371362E-02  1.8408764E-03  1.3275472E-02
  2.0551389E-03  1.1435760E-02  1.8075237E-02  2.3434126E-02  3.5107978E-02  4.7653968E-02  3.9287902E-01  2.5334176E-01  4.8079569E-01  2.3648112E-02  1.8075237E-02  1.1435760E-02  2.0551389E-03  1.3476412E-02
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  2.6157864E-03  1.1575016E-02  1.7951165E-02  2.3115662E-02  3.4291946E-02  4.6262484E-02  3.6720522E-01  2.4638190E-01  4.6973682E-01  2.3327620E-02  1.7951165E-02  1.1575016E-02  2.6157864E-03  1.4081798E-02
  2.7784718E-03  1.1605889E-02  1.7899278E-02  2.3002829E-02  3.4022979E-02  4.5813505E-02  3.5925544E-01  2.4415351E-01  4.6617004E-01  2.3214099E-02  1.7899278E-02  1.1605889E-02  2.7784718E-03  1.4284457E-02
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  3.0724758E-03  1.1648040E-02  1.7782776E-02  2.2769693E-02  3.3490853E-02  4.4937441E-02  3.4418620E-01  2.3982631E-01  4.5920791E-01  2.2979576E-02  1.7782776E-02  1.1648040E-02  3.0724758E-03  1.4691084E-02
  3.2052098E-03  1.1660378E-02  1.7719023E-02  2.2650099E-02  3.3228013E-02  4.4510193E-02  3.3704187E-01  2.3772505E-01  4.5581000E-01  2.2859283E-02  1.7719023E-02  1.1660378E-02  3.2052098E-03  1.4895057E-02
  3.3292829E-03  1.1667523E-02  1.7652111E-02  2.2528901E-02  3.2967496E-02  4.4090010E-02  3.3014221E-01  2.3566379E-01  4.5246585E-01  2.2737385E-02  1.7652111E-02  1.1667523E-02  3.3292829E-03  1.5099473E-02
  3.4452716E-03  1.1669897E-02  1.7582379E-02  2.2406373E-02  3.2709408E-02  4.3676791E-02  3.2347634E-01  2.3364140E-01  4.4917425E-01  2.2614155E-02  1.7582379E-02  1.1669897E-02  3.4452716E-03  1.5304334E-02
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  3.6550840E-03  1.1661858E-02  1.7435662E-02  2.2158289E-02  3.2200861E-02  4.2870822E-02  3.1080514E-01  2.2970892E-01  4.4274394E-01  2.2364663E-02  1.7435662E-02  1.1661858E-02  3.6550840E-03  1.5715401E-02
  3.7498548E-03  1.1652129E-02  1.7359214E-02  2.2033156E-02  3.1950538E-02  4.2477850E-02  3.0478073E-01  2.2779676E-01  4.3960290E-01  2.2238826E-02  1.7359214E-02  1.1652129E-02  3.7498548E-03  1.5921613E-02
  3.8384418E-03  1.1639004E-02  1.7281026E-02  2.1907544E-02  3.1702917E-02  4.2091400E-02  2.9895186E-01  2.2591933E-01  4.3650977E-01  2.2112510E-02  1.7281026E-02  1.1639004E-02  3.8384418E-03  1.6128280E-02
  3.9212357E-03  1.1622761E-02  1.7201311E-02  2.1781617E-02  3.1458037E-02  4.1711355E-02  2.9331016E-01  2.2407569E-01  4.3346346E-01  2.1985880E-02  1.7201311E-02  1.1622761E-02  3.9212357E-03  1.6335404E-02
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  8.6989045E-04  9.0221523E-03  1.5007823E-02  1.9829504E-02  3.0230174E-02  4.1097599E-02  3.5661280E-01  2.4136052E-01  4.7122412E-01  2.0051251E-02  1.5007823E-02  9.0221523E-03  8.6989045E-04  1.1590935E-02
  1.0774252E-03  9.0876526E-03  1.4981148E-02  1.9735624E-02  2.9965073E-02  4.0635201E-02  3.4731448E-01  2.3872197E-01  4.6690538E-01  1.9956389E-02  1.4981148E-02  9.0876526E-03  1.0774252E-03  1.1765419E-02
  1.2700566E-03  9.1432270E-03  1.4947539E-02  1.9637056E-02  2.9700950E-02  4.0180804E-02  3.3839590E-01  2.3614444E-01  4.6266969E-01  1.9856838E-02  1.4947539E-02  9.1432270E-03  1.2700566E-03  1.1940266E-02
  1.4489487E-03  9.1897754E-03  1.4907744E-02  1.9534433E-02  2.9438151E-02  3.9734383E-02  3.2983770E-01  2.3362589E-01  4.5851484E-01  1.9753234E-02  1.4907744E-02  9.1897754E-03  1.4489487E-03  1.2115477E-02
  1.6151599E-03  9.2281112E-03  1.4862438E-02  1.9428324E-02  2.9176975E-02  3.9295886E-02  3.2162164E-01  2.3116435E-01  4.5443868E-01  1.9646143E-02  1.4862438E-02  9.2281112E-03  1.6151599E-03  1.2291055E-02
  1.7696546E-03  9.2589700E-03  1.4812225E-02  1.9319233E-02  2.8917677E-02  3.8865248E-02  3.1373045E-01  2.2875792E-01  4.5043906E-01  1.9536073E-02  1.4812225E-02  9.2589700E-03  1.7696546E-03  1.2467002E-02
  1.9133122E-03  9.2830187E-03  1.4757651E-02  1.9207612E-02  2.8660474E-02  3.8442385E-02  3.0614788E-01  2.2640479E-01  4.4651393E-01  1.9423476E-02  1.4757651E-02  9.2830187E-03  1.9133122E-03  1.2643319E-02
  2.0469356E-03  9.3008619E-03  1.4699207E-02  1.9093864E-02  2.8405552E-02  3.8027200E-02  2.9885856E-01  2.2410321E-01  4.4266128E-01  1.9308755E-02  1.4699207E-02  9.3008619E-03  2.0469356E-03  1.2820009E-02
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  2.2869561E-03  9.3200774E-03  1.4572429E-02  1.8861392E-02  2.7903148E-02  3.7219428E-02  2.8510251E-01  2.1964807E-01  4.3516561E-01  1.9074350E-02  1.4572429E-02  9.3200774E-03  2.2869561E-03  1.3174513E-02
  2.3946422E-03  9.3224030E-03  1.4504855E-02  1.8743280E-02  2.7655905E-02  3.6826605E-02  2.7860922E-01  2.1749136E-01  4.3151886E-01  1.8955277E-02  1.4504855E-02  9.3224030E-03  2.3946422E-03  1.3352332E-02
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  2.5882007E-03  9.3145619E-03  1.4362965E-02  1.8504592E-02  2.7169783E-02  3.6062450E-02  2.6633115E-01  2.1331224E-01  4.2441852E-01  1.8714686E-02  1.4362965E-02  9.3145619E-03  2.5882007E-03  1.3709114E-02
  2.6750714E-03  9.3051165E-03  1.4289208E-02  1.8384454E-02  2.6931032E-02  3.5690852E-02  2.6052404E-01  2.1128703E-01  4.2096151E-01  1.8593604E-02  1.4289208E-02  9.3051165E-03  2.6750714E-03  1.3888081E-02
  2.7559366E-03  9.2924169E-03  1.4213906E-02  1.8264040E-02  2.6695215E-02  3.5326061E-02  2.5492434E-01  2.0930295E-01  4.1756441E-01  1.8472253E-02  1.4213906E-02  9.2924169E-03  2.7559366E-03  1.4067434E-02
  2.8312025E-03  9.2767504E-03  1.4137275E-02  1.8143514E-02  2.6462366E-02  3.4967939E-02  2.4952238E-01  2.0735874E-01  4.1422565E-01  1.8350795E-02  1.4137275E-02  9.2767504E-03  2.8312025E-03  1.4247177E-02
  2.9012440E-03  9.2583798E-03  1.4059512E-02  1.8023024E-02  2.6232505E-02  3.4616349E-02  2.4430900E-01  2.0545319E-01  4.1094368E-01  1.8229380E-02  1.4059512E-02  9.2583798E-03  2.9012440E-03  1.4427310E-02
  2.9664074E-03  9.2375460E-03  1.3980797E-02  1.7902701E-02  2.6005645E-02  3.4271154E-02  2.3927558E-01  2.0358513E-01  4.0771702E-01  1.8108137E-02  1.3980797E-02  9.2375460E-03  2.9664074E-03  1.4607837E-02
  3.0270131E-03  9.2144693E-03  1.3901289E-02  1.7782661E-02  2.5781790E-02  3.3932216E-02  2.3441392E-01  2.0175344E-01  4.0454423E-01  1.7987185E-02  1.3901289E-02  9.2144693E-03  3.0270131E-03  1.4788759E-02
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  5.5262931E-04  6.0336925E-03  1.0414741E-02  1.4011328E-02  2.1438579E-02  2.8460055E-02  2.4741440E-01  2.0044139E-01  4.1902543E-01  1.4233368E-02  1.0414741E-02  6.0336925E-03  5.5262931E-04  9.7347918E-03
  6.8227586E-04  6.0582568E-03  1.0364090E-02  1.3907669E-02  2.1198277E-02  2.8075622E-02  2.3990145E-01  1.9781408E-01  4.1431410E-01  1.4128182E-02  1.0364090E-02  6.0582568E-03  6.8227586E-04  9.8688592E-03
  8.0174370E-04  6.0765013E-03  1.0309686E-02  1.3802065E-02  2.0960770E-02  2.7699503E-02  2.3273818E-01  1.9525745E-01  4.0971244E-01  1.4021071E-02  1.0309686E-02  6.0765013E-03  8.0174370E-04  1.0003199E-02
  9.1188407E-04  6.0890668E-03  1.0252037E-02  1.3694930E-02  2.0726228E-02  2.7331558E-02  2.2590415E-01  1.9276866E-01  4.0521660E-01  1.3912448E-02  1.0252037E-02  6.0890668E-03  9.1188407E-04  1.0137814E-02
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  1.1936807E-03  6.0981441E-03  1.0063884E-02  1.3367755E-02  2.0041589E-02  2.6275208E-02  2.0719298E-01  1.8568320E-01  3.9232810E-01  1.3580931E-02  1.0063884E-02  6.0981441E-03  1.1936807E-03  1.0543317E-02
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  4.7986873E-05  3.2982491E-03  6.2088569E-03  8.7656020E-03  1.3519461E-02  1.7260376E-02  1.6334677E-01  1.5489485E-01  3.5585602E-01  8.9795650E-03  6.2088569E-03  3.2982491E-03  4.7986873E-05  7.3812507E-03
  1.3340023E-04  3.3079236E-03  6.1565398E-03  8.6701726E-03  1.3313751E-02  1.6959685E-02  1.5695992E-01  1.5227829E-01  3.5058897E-01  8.8819960E-03  6.1565398E-03  3.3079236E-03  1.3340023E-04  7.4712889E-03
  2.1112453E-04  3.3130896E-03  6.1021553E-03  8.5742672E-03  1.3112033E-02  1.6667223E-02  1.5094042E-01  1.4974779E-01  3.4547615E-01  8.7839974E-03  6.1021553E-03  3.3130896E-03  2.1112453E-04  7.5615028E-03
  2.8189721E-04  3.3142914E-03  6.0461071E-03  8.4782005E-03  1.2914361E-02  1.6382773E-02  1.4526205E-01  1.4729917E-01  3.4051075E-01  8.6858821E-03  6.0461071E-03  3.3142914E-03  2.8189721E-04  7.6518934E-03
  3.4637530E-04  3.3120080E-03  5.9887442E-03  8.3822391E-03  1.2720759E-02  1.6106114E-02  1.3990073E-01  1.4492851E-01  3.3568634E-01  8.5879156E-03  5.9887442E-03  3.3120080E-03  3.4637530E-04  7.7424614E-03
  4.0514540E-04  3.3066620E-03  5.9303686E-03  8.2866088E-03  1.2531230E-02  1.5837022E-02  1.3483435E-01  1.4263215E-01  3.3099688E-01  8.4903223E-03  5.9303686E-03  3.3066620E-03  4.0514540E-04  7.8332078E-03
  4.5873211E-04  3.2986262E-03  5.8712418E-03  8.1915003E-03  1.2345759E-02  1.5575271E-02  1.3004260E-01  1.4040663E-01  3.2643663E-01  8.3932913E-03  5.8712418E-03  3.2986262E-03  4.5873211E-04  7.9241335E-03
  5.0760547E-04  3.2882305E-03  5.8115897E-03  8.0970737E-03  1.2164313E-02  1.5320636E-02  1.2550676E-01  1.3824872E-01  3.2200021E-01  8.2969817E-03  5.8115897E-03  3.2882305E-03  5.0760547E-04  8.0152394E-03
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  6.2995641E-04  3.2456400E-03  5.6313069E-03  7.8191191E-03  1.1643640E-02  1.4597221E-02  1.1326929E-01  1.3215104E-01  3.0938415E-01  8.0136029E-03  5.6313069E-03  3.2456400E-03  6.2995641E-04  8.2896473E-03
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  8.4550128E-04  3.0590708E-03  5.1050445E-03  7.0486665E-03  1.0278131E-02  1.2743539E-02  8.5919662E-02  1.1667486E-01  2.7680663E-01  7.2286548E-03  5.1050445E-03  3.0590708E-03  8.4550128E-04  9.1229051E-03
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  3.8358636E-05  2.6990736E-03  5.1740542E-03  7.4437369E-03  1.1409389E-02  1.4328274E-02  1.3749146E-01  1.3910037E-01  3.3037227E-01  7.6511916E-03  5.1740542E-03  2.6990736E-03  3.8358636E-05  6.8944135E-03
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  3.9585045E-04  1.5288076E-03  2.6921306E-03  4.0314880E-03  5.7126422E-03  6.7843474E-03  4.5520871E-02  7.9616150E-02  2.0857620E-01  4.1875404E-03  2.6921306E-03  1.5288076E-03  3.9585045E-04  7.3089104E-03
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  0.0000000E+00  0.0000000E+00  2.8552324E-03  5.5546941E-03  1.0290269E-02  1.3289861E-02  2.8642432E-01  1.6986713E-01  4.1797753E-01  5.8111627E-03  2.8552324E-03  0.0000000E+00  0.0000000E+00  4.8059830E-03
  0.0000000E+00  2.0032860E-04  3.0094889E-03  5.6162682E-03  1.0109624E-02  1.2942904E-02  2.6412929E-01  1.6393488E-01  4.0528047E-01  5.8676919E-03  3.0094889E-03  2.0032860E-04  0.0000000E+00  4.8582400E-03
  0.0000000E+00  4.3838726E-04  3.1226539E-03  5.6435735E-03  9.9155818E-03  1.2598237E-02  2.4382498E-01  1.5840066E-01  3.9335265E-01  5.8901720E-03  3.1226539E-03  4.3838726E-04  0.0000000E+00  4.9104877E-03
  0.0000000E+00  6.3381300E-04  3.2031602E-03  5.6442381E-03  9.7132222E-03  1.2258866E-02  2.2558440E-01  1.5322498E-01  3.8212343E-01  5.8862160E-03  3.2031602E-03  6.3381300E-04  0.0000000E+00  4.9627970E-03
  0.0000000E+00  7.9437555E-04  3.2576409E-03  5.6242558E-03  9.5064183E-03  1.1926957E-02  2.0916695E-01  1.4837423E-01  3.7153229E-01  5.8618049E-03  3.2576409E-03  7.9437555E-04  0.0000000E+00  5.0151680E-03
  0.0000000E+00  9.2628115E-04  3.2913317E-03  5.5883131E-03  9.2980474E-03  1.1603949E-02  1.9436065E-01  1.4381881E-01  3.6152544E-01  5.8216132E-03  3.2913317E-03  9.2628115E-04  0.0000000E+00  5.0676010E-03
  0.0000000E+00  1.0345201E-03  3.3083892E-03  5.5400915E-03  9.0902390E-03  1.1290753E-02  1.8097948E-01  1.3953261E-01  3.5205495E-01  5.7693114E-03  3.3083892E-03  1.0345201E-03  0.0000000E+00  5.1200961E-03
  0.0000000E+00  1.1231300E-03  3.3121307E-03  5.4824951E-03  8.8845585E-03  1.0987896E-02  1.6886056E-01  1.3549244E-01  3.4307797E-01  5.7077933E-03  3.3121307E-03  1.1231300E-03  0.0000000E+00  5.1726536E-03
  0.0000000E+00  1.1953962E-03  3.3052162E-03  5.4178230E-03  8.6821438E-03  1.0695624E-02  1.5786144E-01  1.3167771E-01  3.3455610E-01  5.6393486E-03  3.3052162E-03  1.1953962E-03  0.0000000E+00  5.2252737E-03
  0.0000000E+00  1.2540065E-03  3.2897880E-03  5.3479003E-03  8.4838086E-03  1.0413981E-02  1.4785752E-01  1.2807003E-01  3.2645484E-01  5.5657936E-03  3.2897880E-03  1.2540065E-03  0.0000000E+00  5.2779565E-03
  0.0000000E+00  1.3011712E-03  3.2675779E-03  5.2741789E-03  8.2901194E-03  1.0142868E-02  1.3873975E-01  1.2465297E-01  3.1874308E-01  5.4885723E-03  3.2675779E-03  1.3011712E-03  0.0000000E+00  5.3307023E-03
  0.0000000E+00  1.3387161E-03  3.2399909E-03  5.1978158E-03  8.1014552E-03  9.8820821E-03  1.3041260E-01  1.2141177E-01  3.1139275E-01  5.4088341E-03  3.2399909E-03  1.3387161E-03  0.0000000E+00  5.3835112E-03
  0.0000000E+00  1.3681560E-03  3.2081699E-03  5.1197336E-03  7.9180519E-03  9.6313525E-03  1.2279227E-01  1.1833315E-01  3.0437839E-01  5.3274947E-03  3.2081699E-03  1.3681560E-03  0.0000000E+00  5.4363835E-03
  0.0000000E+00  1.3907532E-03  3.1730472E-03  5.0406675E-03  7.7400371E-03  9.3903601E-03  1.1580513E-01  1.1540514E-01  2.9767694E-01  5.2452831E-03  3.1730472E-03  1.3907532E-03  0.0000000E+00  5.4893194E-03
  0.0000000E+00  1.4075630E-03  3.1353847E-03  4.9612033E-03  7.5674559E-03  9.1587570E-03  1.0938637E-01  1.1261691E-01  2.9126738E-01  5.1627788E-03  3.1353847E-03  1.4075630E-03  0.0000000E+00  5.5423190E-03
  0.0000000E+00  1.4194716E-03  3.0958062E-03  4.8818062E-03  7.4002920E-03  8.9361786E-03  1.0347884E-01  1.0995864E-01  2.8513056E-01  5.0804418E-03  3.0958062E-03  1.4194716E-03  0.0000000E+00  5.5953826E-03
  0.0000000E+00  1.4272249E-03  3.0548231E-03  4.8028447E-03  7.2384831E-03  8.7222535E-03  9.8032073E-02  1.0742142E-01  2.7924901E-01  4.9986352E-03  3.0548231E-03  1.4272249E-03  0.0000000E+00  5.6485104E-03
  0.0000000E+00  1.4314532E-03  3.0128544E-03  4.7246088E-03  7.0819328E-03  8.5166099E-03  9.3001378E-02  1.0499712E-01  2.7360670E-01  4.9176444E-03  3.0128544E-03  1.4314532E-03  0.0000000E+00  5.7017027E-03
  0.0000000E+00  1.4326902E-03  2.9702441E-03  4.6473255E-03  6.9305204E-03  8.3188810E-03  8.8347128E-02  1.0267833E-01  2.6818894E-01  4.8376918E-03  2.9702441E-03  1.4326902E-03  0.0000000E+00  5.7549595E-03
  0.0000000E+00  1.4313893E-03  2.9272739E-03  4.5711700E-03  6.7841078E-03  8.1287082E-03  8.4034112E-02  1.0045827E-01  2.6298225E-01  4.7589485E-03  2.9272739E-03  1.4313893E-03  0.0000000E+00  5.8082812E-03
  1.9025463E-05  1.4279260E-03  2.8841526E-03  4.4964554E-03  6.6427056E-03  7.9458919E-03  7.9940162E-02  9.8330335E-02  2.5797298E-01  4.6817230E-03  2.8841526E-03  1.4279260E-03  1.9025463E-05  5.8610306E-03
  5.2543732E-05  1.4225666E-03  2.8409481E-03  4.4230871E-03  6.5058674E-03  7.7697472E-03  7.6056627E-02  9.6285623E-02  2.5314227E-01  4.6059132E-03  2.8409481E-03  1.4225666E-03  5.2543732E-05  5.9132875E-03
  8.2632272E-05  1.4155877E-03  2.7978108E-03  4.3509413E-03  6.3732408E-03  7.5997641E-03  7.2444081E-02  9.4318762E-02  2.4847941E-01  4.5313918E-03  2.7978108E-03  1.4155877E-03  8.2632272E-05  5.9656415E-03
  1.0965756E-04  1.4072375E-03  2.7548825E-03  4.2800937E-03  6.2447078E-03  7.4356903E-03  6.9079117E-02  9.2425457E-02  2.4397576E-01  4.4582318E-03  2.7548825E-03  1.4072375E-03  1.0965756E-04  6.0180933E-03
  1.3394206E-04  1.3977300E-03  2.7122796E-03  4.2105998E-03  6.1201457E-03  7.2772809E-03  6.5940685E-02  9.0601719E-02  2.3962326E-01  4.3864861E-03  2.7122796E-03  1.3977300E-03  1.3394206E-04  6.0706431E-03
  1.5577019E-04  1.3872501E-03  2.6700970E-03  4.1424979E-03  5.9994296E-03  7.1242989E-03  6.3009823E-02  8.8843839E-02  2.3541438E-01  4.3161907E-03  2.6700970E-03  1.3872501E-03  1.5577019E-04  6.1232916E-03
  1.7539330E-04  1.3759576E-03  2.6284116E-03  4.0758127E-03  5.8824334E-03  6.9765158E-03  6.0269423E-02  8.7148365E-02  2.3134210E-01  4.2473678E-03  2.6284116E-03  1.3759576E-03  1.7539330E-04  6.1760392E-03
  1.9303402E-04  1.3639908E-03  2.5872852E-03  4.0105574E-03  5.7690316E-03  6.8337118E-03  5.7704031E-02  8.5512081E-02  2.2739984E-01  4.1800286E-03  2.5872852E-03  1.3639908E-03  1.9303402E-04  6.2288864E-03
  2.0888991E-04  1.3514696E-03  2.5467668E-03  3.9467357E-03  5.6590998E-03  6.6956762E-03  5.5299659E-02  8.3931983E-02  2.2358144E-01  4.1141747E-03  2.5467668E-03  1.3514696E-03  2.0888991E-04  6.2818336E-03
  2.2313661E-04  1.3384978E-03  2.5068947E-03  3.8843440E-03  5.5525157E-03  6.5622070E-03  5.3043633E-02  8.2405268E-02  2.1988111E-01  4.0498003E-03  2.5068947E-03  1.3384978E-03  2.2313661E-04  6.3348815E-03
  2.3593060E-04  1.3251653E-03  2.4676979E-03  3.8233721E-03  5.4491595E-03  6.4331110E-03  5.0924451E-02  8.0929312E-02  2.1629344E-01  3.9868937E-03  2.4676979E-03  1.3251653E-03  2.3593060E-04  6.3880303E-03
  2.4741148E-04  1.3115503E-03  2.4291982E-03  3.7638050E-03  5.3489145E-03  6.3082036E-03  4.8931661E-02  7.9501662E-02  2.1281332E-01  3.9254379E-03  2.4291982E-03  1.3115503E-03  2.4741148E-04  6.4412808E-03
  2.5770405E-04  1.2977203E-03  2.3914107E-03  3.7056238E-03  5.2516672E-03  6.1873086E-03  4.7055751E-02  7.8120017E-02  2.0943597E-01  3.8654124E-03  2.3914107E-03  1.2977203E-03  2.5770405E-04  6.4946334E-03
  2.6692006E-04  1.2837341E-03  2.3543452E-03  3.6488062E-03  5.1573074E-03  6.0702579E-03  4.5288055E-02  7.6782219E-02  2.0615687E-01  3.8067932E-03  2.3543452E-03  1.2837341E-03  2.6692006E-04  6.5480885E-03
  2.7515968E-04  1.2696425E-03  2.3180069E-03  3.5933274E-03  5.0657288E-03  5.9568912E-03  4.3620664E-02  7.5486243E-02  2.0297177E-01  3.7495542E-03  2.3180069E-03  1.2696425E-03  2.7515968E-04  6.6016467E-03
  2.8251292E-04  1.2554896E-03  2.2823974E-03  3.5391610E-03  4.9768286E-03  5.8470557E-03  4.2046353E-02  7.4230183E-02  1.9987666E-01  3.6936672E-03  2.2823974E-03  1.2554896E-03  2.8251292E-04  6.6553085E-03
  2.8906069E-04  1.2413134E-03  2.2475151E-03  3.4862787E-03  4.8905077E-03  5.7406058E-03  4.0558515E-02  7.3012250E-02  1.9686776E-01  3.6391029E-03  2.2475151E-03  1.2413134E-03  2.8906069E-04  6.7090745E-03
  2.9487591E-04  1.2271468E-03  2.2133557E-03  3.4346517E-03  4.8066707E-03  5.6374031E-03  3.9151095E-02  7.1830757E-02  1.9394149E-01  3.5858309E-03  2.2133557E-03  1.2271468E-03  2.9487591E-04  6.7629451E-03
  3.0002431E-04  1.2130182E-03  2.1799128E-03  3.3842501E-03  4.7252258E-03  5.5373153E-03  3.7818544E-02  7.0684115E-02  1.9109448E-01  3.5338202E-03  2.1799128E-03  1.2130182E-03  3.0002431E-04  6.8169209E-03
  3.0456527E-04  1.1989521E-03  2.1471783E-03  3.3350439E-03  4.6460849E-03  5.4402166E-03  3.6555768E-02  6.9570826E-02  1.8832354E-01  3.4830394E-03  2.1471783E-03  1.1989521E-03  3.0456527E-04  6.8710024E-03
  3.0855248E-04  1.1849693E-03  2.1151426E-03  3.2870026E-03  4.5691632E-03  5.3459874E-03  3.5358082E-02  6.8489474E-02  1.8562563E-01  3.4334571E-03  2.1151426E-03  1.1849693E-03  3.0855248E-04  6.9251902E-03
  3.1203457E-04  1.1710879E-03  2.0837948E-03  3.2400960E-03  4.4943795E-03  5.2545135E-03  3.4221179E-02  6.7438725E-02  1.8299788E-01  3.3850419E-03  2.0837948E-03  1.1710879E-03  3.1203457E-04  6.9794849E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.9485644E-03  8.4767380E-03  1.2795686E-02  5.4499007E-01  2.2355477E-01  5.4057892E-01  2.1544764E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.3577823E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.6281273E-03  8.9250899E-03  1.2847528E-02  4.9609366E-01  2.1143832E-01  5.1548347E-01  2.8886120E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.3850700E-03
  0.0000000E+00  0.0000000E+00  1.2864144E-04  3.3008557E-03  9.1840963E-03  1.2761983E-02  4.5081386E-01  2.0068071E-01  4.9292204E-01  3.5901580E-03  1.2864144E-04  0.0000000E+00  0.0000000E+00  4.4199346E-03
  0.0000000E+00  0.0000000E+00  8.2797482E-04  3.8462028E-03  9.2962496E-03  1.2585955E-02  4.0790641E-01  1.9102040E-01  4.7243711E-01  4.1281250E-03  8.2797482E-04  0.0000000E+00  0.0000000E+00  4.4652484E-03
  0.0000000E+00  0.0000000E+00  1.3534155E-03  4.2340671E-03  9.3052869E-03  1.2346536E-02  3.6978108E-01  1.8227542E-01  4.5370746E-01  4.5090419E-03  1.3534155E-03  0.0000000E+00  0.0000000E+00  4.5106072E-03
  0.0000000E+00  0.0000000E+00  1.7490411E-03  4.5058835E-03  9.2431609E-03  1.2068159E-02  3.3602482E-01  1.7432043E-01  4.3651192E-01  4.7743076E-03  1.7490411E-03  0.0000000E+00  0.0000000E+00  4.5560112E-03
  0.0000000E+00  0.0000000E+00  2.0466942E-03  4.6914081E-03  9.1322230E-03  1.1767422E-02  3.0616689E-01  1.6705198E-01  4.2066469E-01  4.9536448E-03  2.0466942E-03  0.0000000E+00  0.0000000E+00  4.6014604E-03
  0.0000000E+00  0.0000000E+00  2.2696939E-03  4.8122880E-03  8.9882537E-03  1.1455637E-02  2.7974276E-01  1.6038392E-01  4.0600872E-01  5.0686704E-03  2.2696939E-03  0.0000000E+00  0.0000000E+00  4.6469550E-03
  0.0000000E+00  0.0000000E+00  2.4353311E-03  4.8844563E-03  8.8224783E-03  1.1140502E-02  2.5632264E-01  1.5424393E-01  3.9241047E-01  5.1352906E-03  2.4353311E-03  0.0000000E+00  0.0000000E+00  4.6924952E-03
  0.0000000E+00  1.6747805E-04  2.5564384E-03  4.9196333E-03  8.6425856E-03  1.0826757E-02  2.3482240E-01  1.4856509E-01  3.7974305E-01  5.1651958E-03  2.5564384E-03  1.6747805E-04  0.0000000E+00  4.7379144E-03
  0.0000000E+00  3.6507659E-04  2.6424513E-03  4.9260741E-03  8.4532354E-03  1.0516496E-02  2.1544148E-01  1.4328180E-01  3.6787839E-01  5.1666059E-03  2.6424513E-03  3.6507659E-04  0.0000000E+00  4.7833169E-03
  0.0000000E+00  5.2589849E-04  2.7008743E-03  4.9105321E-03  8.2587645E-03  1.0212316E-02  1.9817636E-01  1.3835359E-01  3.5673976E-01  5.1462573E-03  2.7008743E-03  5.2589849E-04  0.0000000E+00  4.8287720E-03
  0.0000000E+00  6.5686315E-04  2.7375567E-03  4.8782603E-03  8.0624190E-03  9.9160306E-03  1.8275764E-01  1.3374611E-01  3.4626166E-01  5.1093879E-03  2.7375567E-03  6.5686315E-04  0.0000000E+00  4.8742797E-03
  0.0000000E+00  7.6345748E-04  2.7570741E-03  4.8333222E-03  7.8665572E-03  9.6287982E-03  1.6895272E-01  1.2942923E-01  3.3638621E-01  5.0600473E-03  2.7570741E-03  7.6345748E-04  0.0000000E+00  4.9198402E-03
  0.0000000E+00  8.5006287E-04  2.7630277E-03  4.7788756E-03  7.6728793E-03  9.3513032E-03  1.5656106E-01  1.2537645E-01  3.2706206E-01  5.0013808E-03  2.7630277E-03  8.5006287E-04  0.0000000E+00  4.9654538E-03
  0.0000000E+00  9.2020061E-04  2.7582663E-03  4.7173840E-03  7.4825959E-03  9.0838918E-03  1.4540971E-01  1.2156437E-01  3.1824356E-01  4.9358404E-03  2.7582663E-03  9.2020061E-04  0.0000000E+00  5.0111205E-03
  0.0000000E+00  9.7671777E-04  2.7450546E-03  4.6507754E-03  7.2965516E-03  8.8266695E-03  1.3534941E-01  1.1797223E-01  3.0988996E-01  4.8653435E-03  2.7450546E-03  9.7671777E-04  0.0000000E+00  5.0568405E-03
  0.0000000E+00  1.0219293E-03  2.7252010E-03  4.5805622E-03  7.1153181E-03  8.5795714E-03  1.2625116E-01  1.1458159E-01  3.0196478E-01  4.7913926E-03  2.7252010E-03  1.0219293E-03  0.0000000E+00  5.1026140E-03
  0.0000000E+00  1.0577274E-03  2.7001543E-03  4.5079322E-03  6.9392625E-03  8.3424142E-03  1.1800331E-01  1.1137601E-01  2.9443528E-01  4.7151666E-03  2.7001543E-03  1.0577274E-03  0.0000000E+00  5.1484412E-03
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  0.0000000E+00  1.1070266E-03  2.6389151E-03  4.3589559E-03  6.6034281E-03  7.8968131E-03  1.0368394E-01  1.0546264E-01  2.8044834E-01  4.5593908E-03  2.6389151E-03  1.1070266E-03  0.0000000E+00  5.2402573E-03
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  6.4416031E-05  1.1247263E-03  2.2599686E-03  3.6498524E-03  5.2369680E-03  6.1503653E-03  5.9500751E-02  8.3181093E-02  2.2650218E-01  3.8224896E-03  2.2599686E-03  1.1247263E-03  6.4416031E-05  5.6997388E-03
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  1.2093717E-04  1.0974653E-03  2.1474631E-03  3.4631830E-03  4.9123024E-03  5.7470562E-03  5.1429955E-02  7.8145101E-02  2.1400769E-01  3.6289922E-03  2.1474631E-03  1.0974653E-03  1.2093717E-04  5.8363357E-03
  1.3599977E-04  1.0870615E-03  2.1110563E-03  3.4038259E-03  4.8111285E-03  5.6221189E-03  4.9098849E-02  7.6589028E-02  2.1012239E-01  3.5674794E-03  2.1110563E-03  1.0870615E-03  1.3599977E-04  5.8820368E-03
  1.4949501E-04  1.0761945E-03  2.0752722E-03  3.3458988E-03  4.7132595E-03  5.5015800E-03  4.6922304E-02  7.5088861E-02  2.0636533E-01  3.5074527E-03  2.0752722E-03  1.0761945E-03  1.4949501E-04  5.9278231E-03
  1.6158275E-04  1.0649574E-03  2.0401402E-03  3.2893890E-03  4.6185685E-03  5.3852431E-03  4.4887517E-02  7.3641695E-02  2.0273027E-01  3.4488972E-03  2.0401402E-03  1.0649574E-03  1.6158275E-04  5.9736949E-03
  1.7240474E-04  1.0534302E-03  2.0056816E-03  3.2342784E-03  4.5269319E-03  5.2729207E-03  4.2982931E-02  7.2244823E-02  1.9921135E-01  3.3917928E-03  2.0056816E-03  1.0534302E-03  1.7240474E-04  6.0196527E-03
  1.8208695E-04  1.0416821E-03  1.9719108E-03  3.1805451E-03  4.4382300E-03  5.1644343E-03  4.1198096E-02  7.0895717E-02  1.9580311E-01  3.3361153E-03  1.9719108E-03  1.0416821E-03  1.8208695E-04  6.0656968E-03
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  1.9846832E-04  1.0177519E-03  1.9064628E-03  3.0771064E-03  4.2691727E-03  4.9582984E-03  3.7950695E-02  6.8331504E-02  1.8929841E-01  3.2289303E-03  1.9064628E-03  1.0177519E-03  1.9846832E-04  6.1580458E-03
  2.0535675E-04  1.0056649E-03  1.8747901E-03  3.0273438E-03  4.1885987E-03  4.8603338E-03  3.6471750E-02  6.7112112E-02  1.8619259E-01  3.1773620E-03  1.8747901E-03  1.0056649E-03  2.0535675E-04  6.2043516E-03
  2.1148667E-04  9.9354905E-04  1.8438154E-03  2.9788451E-03  4.1105224E-03  4.7655744E-03  3.5079617E-02  6.5931899E-02  1.8317867E-01  3.1271003E-03  1.8438154E-03  9.9354905E-04  2.1148667E-04  6.2507454E-03
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  1.1546926E-05  8.9924141E-04  1.8762859E-03  3.1720259E-03  4.4728582E-03  5.1895560E-03  5.4041594E-02  7.6446773E-02  2.1427951E-01  3.3417645E-03  1.8762859E-03  8.9924141E-04  1.1546926E-05  5.3757871E-03
  3.1795827E-05  8.9307191E-04  1.8423815E-03  3.1125415E-03  4.3695948E-03  5.0629259E-03  5.1178988E-02  7.4716202E-02  2.0985947E-01  3.2797833E-03  1.8423815E-03  8.9307191E-04  3.1795827E-05  5.4148824E-03
  4.9861351E-05  8.8601068E-04  1.8088951E-03  3.0544738E-03  4.2699912E-03  4.9411684E-03  4.8532466E-02  7.3055460E-02  2.0560366E-01  3.2192911E-03  1.8088951E-03  8.8601068E-04  4.9861351E-05  5.4540484E-03
  6.5987619E-05  8.7821428E-04  1.7758969E-03  2.9978354E-03  4.1739059E-03  4.8240556E-03  4.6081903E-02  7.1460504E-02  2.0150315E-01  3.1602975E-03  1.7758969E-03  8.7821428E-04  6.5987619E-05  5.4932855E-03
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  3.0007835E-05  1.2776010E-04  2.5261507E-04  7.0702971E-04  7.1731289E-04  7.5434184E-04  5.1567481E-03  2.0376406E-02  7.1128246E-02  7.9532709E-04  2.5261507E-04  1.2776010E-04  3.0007835E-05  4.2057261E-03
  3.0245464E-05  1.2548493E-04  2.4718791E-04  6.9370006E-04  7.0293421E-04  7.3864673E-04  4.9587603E-03  1.9959204E-02  6.9730683E-02  7.8064275E-04  2.4718791E-04  1.2548493E-04  3.0245464E-05  4.2209277E-03
  3.0434520E-05  1.2326110E-04  2.4193604E-04  6.8079409E-04  6.8905900E-04  7.2351008E-04  4.7726303E-03  1.9556135E-02  6.8378031E-02  7.6641860E-04  2.4193604E-04  1.2326110E-04  3.0434520E-05  4.2361552E-03
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.5769973E-03  2.1551681E-03  2.5012678E-03  2.3318727E-01  9.4942560E-02  3.0439358E-01  1.8343021E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.3245997E-03
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  1.5764154E-06  1.3130017E-04  2.9752892E-04  8.9718028E-04  8.8660813E-04  9.3638887E-04  1.0469487E-02  2.7544526E-02  9.6948471E-02  1.0131604E-03  2.9752892E-04  1.3130017E-04  1.5764154E-06  3.6691608E-03
  4.3093506E-06  1.2928695E-04  2.8952623E-04  8.7429119E-04  8.6204897E-04  9.0945984E-04  9.8026574E-03  2.6750959E-02  9.4306432E-02  9.8784302E-04  2.8952623E-04  1.2928695E-04  4.3093506E-06  3.6814242E-03
  6.7107640E-06  1.2720886E-04  2.8179194E-04  8.5232130E-04  8.3862290E-04  8.8380425E-04  9.1965065E-03  2.5995022E-02  9.1782883E-02  9.6353367E-04  2.8179194E-04  1.2720886E-04  6.7107640E-06  3.6937068E-03
  8.8217939E-06  1.2508696E-04  2.7432221E-04  8.3122655E-04  8.1626273E-04  8.5934396E-04  8.6442222E-03  2.5274235E-02  8.9370365E-02  9.4018368E-04  2.7432221E-04  1.2508696E-04  8.8217939E-06  3.7060089E-03
  1.0677898E-05  1.2293851E-04  2.6711170E-04  8.1096461E-04  7.9490569E-04  8.3600630E-04  8.1398813E-03  2.4586328E-02  8.7062023E-02  9.1774635E-04  2.6711170E-04  1.2293851E-04  1.0677898E-05  3.7183305E-03
  1.2309726E-05  1.2077762E-04  2.6015402E-04  7.9149494E-04  7.7449312E-04  8.1372366E-04  7.6783192E-03  2.3929217E-02  8.4851540E-02  8.9617711E-04  2.6015402E-04  1.2077762E-04  1.2309726E-05  3.7306718E-03
  1.3743850E-05  1.1861584E-04  2.5344201E-04  7.7277887E-04  7.5497030E-04  7.9243319E-04  7.2550201E-03  2.3300987E-02  8.2733094E-02  8.7543350E-04  2.5344201E-04  1.1861584E-04  1.3743850E-05  3.7430327E-03
  1.5003361E-05  1.1646255E-04  2.4696803E-04  7.5477962E-04  7.3628613E-04  7.7207642E-04  6.8660246E-03  2.2699872E-02  8.0701303E-02  8.5547518E-04  2.4696803E-04  1.1646255E-04  1.5003361E-05  3.7554134E-03
  1.6108378E-05  1.1432534E-04  2.4072410E-04  7.3746223E-04  7.1839294E-04  7.5259893E-04  6.5078528E-03  2.2124246E-02  7.8751191E-02  8.3626388E-04  2.4072410E-04  1.1432534E-04  1.6108378E-05  3.7678139E-03
  1.7076474E-05  1.1221036E-04  2.3470210E-04  7.2079352E-04  7.0124622E-04  7.3395010E-04  6.1774381E-03  2.1572607E-02  7.6878148E-02  8.1776331E-04  2.3470210E-04  1.1221036E-04  1.7076474E-05  3.7802344E-03
  1.7923034E-05  1.1012248E-04  2.2889386E-04  7.0474209E-04  6.8480442E-04  7.1608277E-04  5.8720718E-03  2.1043563E-02  7.5077897E-02  7.9993915E-04  2.2889386E-04  1.1012248E-04  1.7923034E-05  3.7926750E-03
  1.8661563E-05  1.0806560E-04  2.2329125E-04  6.8927820E-04  6.6902874E-04  6.9895302E-04  5.5893558E-03  2.0535828E-02  7.3346465E-02  7.8275892E-04  2.2329125E-04  1.0806560E-04  1.8661563E-05  3.8051356E-03
  1.9303925E-05  1.0604272E-04  2.1788626E-04  6.7437369E-04  6.5388294E-04  6.8251989E-04  5.3271622E-03  2.0048207E-02  7.1680158E-02  7.6619190E-04  2.1788626E-04  1.0604272E-04  1.9303925E-05  3.8176165E-03
  1.9860575E-05  1.0405616E-04  2.1267104E-04  6.6000197E-04  6.3933314E-04  6.6674519E-04  5.0835986E-03  1.9579592E-02  7.0075536E-02  7.5020906E-04  2.1267104E-04  1.0405616E-04  1.9860575E-05  3.8301177E-03
  2.0340746E-05  1.0210764E-04  2.0763793E-04  6.4613787E-04  6.2534765E-04  6.5159325E-04  4.8569787E-03  1.9128953E-02  6.8529392E-02  7.3478295E-04  2.0763793E-04  1.0210764E-04  2.0340746E-05  3.8426392E-03
  2.0752602E-05  1.0019839E-04  2.0277952E-04  6.3275762E-04  6.1189684E-04  6.3703078E-04  4.6457964E-03  1.8695328E-02  6.7038734E-02  7.1988765E-04  2.0277952E-04  1.0019839E-04  2.0752602E-05  3.8551813E-03
  2.1103381E-05  9.8329247E-05  1.9808862E-04  6.1983873E-04  5.9895295E-04  6.2302666E-04  4.4487043E-03  1.8277826E-02  6.5600764E-02  7.0549866E-04  1.9808862E-04  9.8329247E-05  2.1103381E-05  3.8677439E-03
  2.1399500E-05  9.6500692E-05  1.9355831E-04  6.0735997E-04  5.8649000E-04  6.0955179E-04  4.2644942E-03  1.7875610E-02  6.4212868E-02  6.9159280E-04  1.9355831E-04  9.6500692E-05  2.1399500E-05  3.8803271E-03
  2.1646660E-05  9.4712935E-05  1.8918192E-04  5.9530124E-04  5.7448362E-04  5.9657892E-04  4.0920815E-03  1.7487903E-02  6.2872597E-02  6.7814819E-04  1.8918192E-04  9.4712935E-05  2.1646660E-05  3.8929312E-03
  2.1849946E-05  9.2965959E-05  1.8495305E-04  5.8364354E-04  5.6291096E-04  5.8408253E-04  3.9304897E-03  1.7113975E-02  6.1577655E-02  6.6514413E-04  1.8495305E-04  9.2965959E-05  2.1849946E-05  3.9055560E-03
  2.2013888E-05  9.1259557E-05  1.8086557E-04  5.7236893E-04  5.5175060E-04  5.7203871E-04  3.7788387E-03  1.6753144E-02  6.0325889E-02  6.5256103E-04  1.8086557E-04  9.1259557E-05  2.2013888E-05  3.9182019E-03
  2.2142531E-05  8.9593370E-05  1.7691359E-04  5.6146041E-04  5.4098238E-04  5.6042504E-04  3.6363338E-03  1.6404773E-02  5.9115278E-02  6.4038037E-04  1.7691359E-04  8.9593370E-05  2.2142531E-05  3.9308687E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.4120316E-03  1.6931137E-03  1.9417428E-03  2.4584166E-01  9.1560409E-02  3.0163001E-01  1.6546268E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.1621243E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.4850087E-03  1.7187037E-03  1.9495486E-03  1.9639804E-01  8.3982384E-02  2.7873990E-01  1.7372495E-03  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.1679498E-03
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  2.1747645E-07  1.8033648E-05  4.2102886E-05  3.0233210E-04  2.5956985E-04  2.5785714E-04  1.8749834E-03  9.2988326E-03  3.9192703E-02  3.7313495E-04  4.2102886E-05  1.8033648E-05  2.1747645E-07  4.2751061E-03
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  1.8553006E-06  1.5853326E-05  3.4827828E-05  2.5223594E-04  2.2575530E-04  2.2340386E-04  1.2824178E-03  7.6201337E-03  3.2273344E-02  3.1246245E-04  3.4827828E-05  1.5853326E-05  1.8553006E-06  4.2852925E-03
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  2.0451847E-08  1.7144295E-06  4.1922953E-06  8.2359667E-05  1.3459117E-04  1.3434156E-04  2.4743959E-04  2.3243830E-03  1.1358582E-02  1.1395030E-04  4.1922953E-06  1.7144295E-06  2.0451847E-08  4.4514436E-03
  5.5373330E-08  1.6690812E-06  4.0317047E-06  7.9202441E-05  1.3047473E-04  1.3024784E-04  2.3012674E-04  2.2302217E-03  1.0898595E-02  1.0965375E-04  4.0317047E-06  1.6690812E-06  5.5373330E-08  4.4491534E-03
  8.5429684E-08  1.6242231E-06  3.8792056E-06  7.6226771E-05  1.2654864E-04  1.2634419E-04  2.1455211E-04  2.1416612E-03  1.0465639E-02  1.0560028E-04  3.8792056E-06  1.6242231E-06  8.5429684E-08  4.4468566E-03
  1.1128972E-07  1.5800658E-06  3.7343637E-06  7.3418946E-05  1.2280128E-04  1.2261896E-04  2.0049757E-04  2.0582641E-03  1.0057631E-02  1.0177178E-04  3.7343637E-06  1.5800658E-06  1.1128972E-07  4.4445532E-03
  1.3352130E-07  1.5367667E-06  3.5967578E-06  7.0766520E-05  1.1922190E-04  1.1906135E-04  1.8777693E-04  1.9796347E-03  9.6726843E-03  9.8151757E-05  3.5967578E-06  1.5367667E-06  1.3352130E-07  4.4422430E-03
  1.5260777E-07  1.4944400E-06  3.4659824E-06  6.8258184E-05  1.1580052E-04  1.1566138E-04  1.7623068E-04  1.9054151E-03  9.3090874E-03  9.4725242E-05  3.4659824E-06  1.4944400E-06  1.5260777E-07  4.4399261E-03
  1.6896351E-07  1.4531682E-06  3.3416514E-06  6.5883636E-05  1.1252790E-04  1.1240976E-04  1.6572169E-04  1.8352803E-03  8.9652866E-03  9.1478574E-05  3.3416514E-06  1.4531682E-06  1.6896351E-07  4.4376026E-03
  1.8294296E-07  1.4130061E-06  3.2233967E-06  6.3633479E-05  1.0939545E-04  1.0929790E-04  1.5613164E-04  1.7689348E-03  8.6398670E-03  8.8399282E-05  3.2233967E-06  1.4130061E-06  1.8294296E-07  4.4352721E-03
  1.9485056E-07  1.3739875E-06  3.1108697E-06  6.1499129E-05  1.0639521E-04  1.0631782E-04  1.4735812E-04  1.7061094E-03  8.3315385E-03  8.5475962E-05  3.1108697E-06  1.3739875E-06  1.9485056E-07  4.4329348E-03
  2.0494884E-07  1.3361296E-06  3.0037408E-06  5.9472726E-05  1.0351973E-04  1.0346207E-04  1.3931221E-04  1.6465587E-03  8.0391227E-03  8.2698169E-05  3.0037408E-06  1.3361296E-06  2.0494884E-07  4.4305907E-03
  2.1346512E-07  1.2994373E-06  2.9017002E-06  5.7547072E-05  1.0076213E-04  1.0072374E-04  1.3191647E-04  1.5900582E-03  7.7615414E-03  8.0056320E-05  2.9017002E-06  1.2994373E-06  2.1346512E-07  4.4282395E-03
  2.2059725E-07  1.2639061E-06  2.8044572E-06  5.5715559E-05  9.8115956E-05  9.8096406E-05  1.2510322E-04  1.5364025E-03  7.4978065E-03  7.7541615E-05  2.8044572E-06  1.2639061E-06  2.2059725E-07  4.4258814E-03
  2.2651518E-07  1.2295219E-06  2.7117367E-06  5.3972109E-05  9.5575208E-05  9.5574050E-05  1.1881319E-04  1.4854032E-03  7.2470112E-03  7.5145952E-05  2.7117367E-06  1.2295219E-06  2.2651518E-07  4.4235163E-03
  2.3136732E-07  1.1962652E-06  2.6232812E-06  5.2311131E-05  9.3134281E-05  9.3151074E-05  1.1299431E-04  1.4368872E-03  7.0083220E-03  7.2861870E-05  2.6232812E-06  1.1962652E-06  2.3136732E-07  4.4211442E-03
  2.3528363E-07  1.1641124E-06  2.5388495E-06  5.0727471E-05  9.0787939E-05  9.0822244E-05  1.0760070E-04  1.3906956E-03  6.7809714E-03  7.0682488E-05  2.5388495E-06  1.1641124E-06  2.3528363E-07  4.4187648E-03
  2.3837747E-07  1.1330366E-06  2.4582155E-06  4.9216372E-05  8.8531285E-05  8.8582668E-05  1.0259183E-04  1.3466818E-03  6.5642523E-03  6.8601447E-05  2.4582155E-06  1.1330366E-06  2.3837747E-07  4.4163784E-03
  2.4074904E-07  1.1030094E-06  2.3811681E-06  4.7773441E-05  8.6359738E-05  8.6427771E-05  9.7931829E-05  1.3047108E-03  6.3575119E-03  6.6612867E-05  2.3811681E-06  1.1030094E-06  2.4074904E-07  4.4139847E-03
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  2.4459336E-07  9.9274444E-07  2.1050442E-06  4.2606384E-05  7.8442665E-05  7.8573168E-05  8.2193563E-05  1.1548948E-03  5.6189227E-03  5.9480007E-05  2.1050442E-06  9.9274444E-07  2.4459336E-07  4.4043374E-03
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  1.2896658E-08  1.0866967E-06  2.6899419E-06  6.3356293E-05  1.1994222E-04  1.2004832E-04  1.6750012E-04  1.7658442E-03  8.7960552E-03  8.9665378E-05  2.6899419E-06  1.0866967E-06  1.2896658E-08  3.8750190E-03
  3.4874490E-08  1.0564635E-06  2.5832122E-06  6.0839586E-05  1.1601969E-04  1.1614560E-04  1.5561064E-04  1.6921581E-03  8.4276792E-03  8.6157891E-05  2.5832122E-06  1.0564635E-06  3.4874490E-08  3.8728787E-03
  5.3739622E-08  1.0266642E-06  2.4820519E-06  5.8471436E-05  1.1228898E-04  1.1243414E-04  1.4492897E-04  1.6229450E-03  8.0814740E-03  8.2854193E-05  2.4820519E-06  1.0266642E-06  5.3739622E-08  3.8707323E-03
  6.9925333E-08  9.9742458E-07  2.3861453E-06  5.6240371E-05  1.0873771E-04  1.0890156E-04  1.3530178E-04  1.5578504E-03  7.7556985E-03  7.9738744E-05  2.3861453E-06  9.9742458E-07  6.9925333E-08  3.8685801E-03
  8.3798803E-08  9.6883635E-07  2.2951884E-06  5.4136001E-05  1.0535452E-04  1.0553649E-04  1.2659842E-04  1.4965537E-03  7.4487796E-03  7.6797462E-05  2.2951884E-06  9.6883635E-07  8.3798803E-08  3.8664217E-03
  9.5671912E-08  9.4096442E-07  2.2088911E-06  5.2148903E-05  1.0212889E-04  1.0232843E-04  1.1870721E-04  1.4387654E-03  7.1592927E-03  7.4017553E-05  2.2088911E-06  9.4096442E-07  9.5671912E-08  3.8642574E-03
  1.0581173E-07  9.1385376E-07  2.1269788E-06  5.0270512E-05  9.9051135E-05  9.9267679E-05  1.1153227E-04  1.3842230E-03  6.8859456E-03  7.1387383E-05  2.1269788E-06  9.1385376E-07  1.0581173E-07  3.8620868E-03
  1.1444618E-07  8.8753220E-07  2.0491911E-06  4.8493029E-05  9.6112278E-05  9.6345288E-05  1.0499105E-04  1.3326880E-03  6.6275638E-03  6.8896345E-05  2.0491911E-06  8.8753220E-07  1.1444618E-07  3.8599099E-03
  1.2177067E-07  8.6201444E-07  1.9752824E-06  4.6809341E-05  9.3304021E-05  9.3552963E-05  9.9012188E-05  1.2839435E-03  6.3830777E-03  6.6534760E-05  1.9752824E-06  8.6201444E-07  1.2177067E-07  3.8577270E-03
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  1.3313993E-07  8.1340208E-07  1.8381929E-06  4.3697919E-05  8.8049104E-05  8.8328349E-05  8.8502243E-05  1.1940527E-03  5.9319741E-03  6.2165279E-05  1.8381929E-06  8.1340208E-07  1.3313993E-07  3.8533423E-03
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  0.0000000E+00  3.0278566E-07  1.0264425E-06  4.5650067E-05  1.2650160E-04  1.2698342E-04  1.2973351E-04  1.2632218E-03  6.6093557E-03  6.9119426E-05  1.0264425E-06  3.0278566E-07  0.0000000E+00  2.5145034E-03
  0.0000000E+00  3.0013191E-07  9.7361623E-07  4.2934348E-05  1.2006699E-04  1.2056697E-04  1.1497168E-04  1.1865104E-03  6.2051622E-03  6.5086330E-05  9.7361623E-07  3.0013191E-07  0.0000000E+00  2.5134211E-03
  0.0000000E+00  2.9562805E-07  9.2381651E-07  4.0454651E-05  1.1411928E-04  1.1463600E-04  1.0246791E-04  1.1165607E-03  5.8364994E-03  6.1398235E-05  9.2381651E-07  2.9562805E-07  0.0000000E+00  2.5123367E-03
  0.0000000E+00  2.8982206E-07  8.7698832E-07  3.8184387E-05  1.0860981E-04  1.0914193E-04  9.1807785E-05  1.0525983E-03  5.4993166E-03  5.8016716E-05  8.7698832E-07  2.8982206E-07  0.0000000E+00  2.5112500E-03
  0.0000000E+00  2.8312282E-07  8.3302717E-07  3.6100604E-05  1.0349593E-04  1.0404221E-04  8.2663490E-05  9.9395694E-04  5.1901263E-03  5.4908565E-05  8.3302717E-07  2.8312282E-07  0.0000000E+00  2.5101611E-03
  0.0000000E+00  2.7584165E-07  7.9180526E-07  3.4183414E-05  9.8740077E-05  9.9299375E-05  7.4773772E-05  9.4006087E-04  4.9059121E-03  5.2044970E-05  7.9180526E-07  2.7584165E-07  0.0000000E+00  2.5090700E-03
  0.0000000E+00  2.6820052E-07  7.5316719E-07  3.2415499E-05  9.4309104E-05  9.4880350E-05  6.7929105E-05  8.9041042E-04  4.6440545E-03  4.9400818E-05  7.5316719E-07  2.6820052E-07  0.0000000E+00  2.5079767E-03
  0.0000000E+00  2.6037077E-07  7.1695861E-07  3.0781742E-05  9.0173647E-05  9.0755849E-05  6.1960025E-05  8.4457018E-04  4.4022694E-03  4.6954151E-05  7.1695861E-07  2.6037077E-07  0.0000000E+00  2.5068811E-03
  0.0000000E+00  2.5247875E-07  6.8302363E-07  2.9268888E-05  8.6307620E-05  8.6899860E-05  5.6728753E-05  8.0215934E-04  4.1785578E-03  4.4685699E-05  6.8302363E-07  2.5247875E-07  0.0000000E+00  2.5057832E-03
  0.0000000E+00  2.4461634E-07  6.5120859E-07  2.7865283E-05  8.2687782E-05  8.3289208E-05  5.2122564E-05  7.6284362E-04  3.9711640E-03  4.2578493E-05  6.5120859E-07  2.4461634E-07  0.0000000E+00  2.5046831E-03
  0.0000000E+00  2.3685711E-07  6.2137271E-07  2.6560646E-05  7.9293376E-05  7.9903196E-05  4.8048691E-05  7.2632863E-04  3.7785408E-03  4.0617546E-05  6.2137271E-07  2.3685711E-07  0.0000000E+00  2.5035807E-03
  2.6720515E-09  2.2924800E-07  5.9336960E-07  2.5352854E-05  7.6112222E-05  7.6729702E-05  4.4380338E-05  6.9235190E-04  3.5992775E-03  3.8796379E-05  5.9336960E-07  2.2924800E-07  2.6720515E-09  2.5022005E-03
  7.1956536E-09  2.2180020E-07  5.6701750E-07  2.4230568E-05  7.3121579E-05  7.3746030E-05  4.1068412E-05  6.6063446E-04  3.4319153E-03  3.7099073E-05  5.6701750E-07  2.2180020E-07  7.1956536E-09  2.5005649E-03
  1.1043508E-08  2.1454013E-07  5.4220093E-07  2.3179910E-05  7.0299927E-05  7.0930705E-05  3.8107108E-05  6.3096995E-04  3.2753975E-03  3.5508510E-05  5.4220093E-07  2.1454013E-07  1.1043508E-08  2.4989251E-03
  1.4313624E-08  2.0748734E-07  5.1881808E-07  2.2194983E-05  6.7634816E-05  6.8271321E-05  3.5450037E-05  6.0318742E-04  3.1288233E-03  3.4016012E-05  5.1881808E-07  2.0748734E-07  1.4313624E-08  2.4972810E-03
  1.7088497E-08  2.0065443E-07  4.9677330E-07  2.1270479E-05  6.5114920E-05  6.5756594E-05  3.3057966E-05  5.7713321E-04  2.9913824E-03  3.2613761E-05  4.9677330E-07  2.0065443E-07  1.7088497E-08  2.4956326E-03
  1.9437771E-08  1.9404859E-07  4.7597704E-07  2.0401611E-05  6.2729919E-05  6.3376243E-05  3.0897580E-05  5.5266895E-04  2.8623451E-03  3.1294695E-05  4.7597704E-07  1.9404859E-07  1.9437771E-08  2.4939798E-03
  2.1420746E-08  1.8767323E-07  4.5634600E-07  1.9584054E-05  6.0470397E-05  6.1120886E-05  2.8940480E-05  5.2966972E-04  2.7410525E-03  3.0052432E-05  4.5634600E-07  1.8767323E-07  2.1420746E-08  2.4923227E-03
  2.3087668E-08  1.8152844E-07  4.3780241E-07  1.8813892E-05  5.8327741E-05  5.8981944E-05  2.7162357E-05  5.0802257E-04  2.6269083E-03  2.8881181E-05  4.3780241E-07  1.8152844E-07  2.3087668E-08  2.4906612E-03
  2.4481383E-08  1.7561197E-07  4.2027397E-07  1.8087571E-05  5.6294067E-05  5.6951564E-05  2.5542338E-05  4.8762515E-04  2.5193721E-03  2.7775687E-05  4.2027397E-07  1.7561197E-07  2.4481383E-08  2.4889952E-03
  2.5638629E-08  1.6991994E-07  4.0369361E-07  1.7401865E-05  5.4362144E-05  5.5022544E-05  2.4062430E-05  4.6838453E-04  2.4179534E-03  2.6731169E-05  4.0369361E-07  1.6991994E-07  2.5638629E-08  2.4873249E-03
  2.6590974E-08  1.6444724E-07  3.8799918E-07  1.6753834E-05  5.2525330E-05  5.3188268E-05  2.2707069E-05  4.5021622E-04  2.3222057E-03  2.5743269E-05  3.8799918E-07  1.6444724E-07  2.6590974E-08  2.4856501E-03
  2.7365599E-08  1.5918789E-07  3.7313302E-07  1.6140800E-05  5.0777518E-05  5.1442652E-05  2.1462750E-05  4.3304323E-04  2.2317222E-03  2.4808013E-05  3.7313302E-07  1.5918789E-07  2.7365599E-08  2.4839707E-03
  2.7985742E-08  1.5413506E-07  3.5904149E-07  1.5560314E-05  4.9113080E-05  4.9780095E-05  2.0317717E-05  4.1679532E-04  2.1461316E-03  2.3921762E-05  3.5904149E-07  1.5413506E-07  2.7985742E-08  2.4822869E-03
  2.8471600E-08  1.4928169E-07  3.4567498E-07  1.5010140E-05  4.7526828E-05  4.8195429E-05  1.9261705E-05  4.0140826E-04  2.0650946E-03  2.3081190E-05  3.4567498E-07  1.4928169E-07  2.8471600E-08  2.4805985E-03
  2.8840716E-08  1.4462051E-07  3.3298751E-07  1.4488225E-05  4.6013970E-05  4.6683882E-05  1.8285721E-05  3.8682329E-04  1.9883004E-03  2.2283243E-05  3.3298751E-07  1.4462051E-07  2.8840716E-08  2.4789055E-03
  2.9108275E-08  1.4014413E-07  3.2093644E-07  1.3992689E-05  4.4570076E-05  4.5241042E-05  1.7381863E-05  3.7298653E-04  1.9154640E-03  2.1525118E-05  3.2093644E-07  1.4014413E-07  2.9108275E-08  2.4772080E-03
  2.9287525E-08  1.3584521E-07  3.0948220E-07  1.3521803E-05  4.3191045E-05  4.3862826E-05  1.6543174E-05  3.5984850E-04  1.8463238E-03  2.0804238E-05  3.0948220E-07  1.3584521E-07  2.9287525E-08  2.4755058E-03
  2.9389877E-08  1.3171633E-07  2.9858799E-07  1.3073978E-05  4.1873074E-05  4.2545448E-05  1.5763506E-05  3.4736373E-04  1.7806391E-03  2.0118227E-05  2.9858799E-07  1.3171633E-07  2.9389877E-08  2.4737990E-03
  2.9425332E-08  1.2775029E-07  2.8821964E-07  1.2647747E-05  4.0612638E-05  4.1285395E-05  1.5037419E-05  3.3549033E-04  1.7181885E-03  1.9464899E-05  2.8821964E-07  1.2775029E-07  2.9425332E-08  2.4720874E-03
  2.9402712E-08  1.2394015E-07  2.7834551E-07  1.2241761E-05  3.9406458E-05  4.0079407E-05  1.4360077E-05  3.2418973E-04  1.6587675E-03  1.8842232E-05  2.7834551E-07  1.2394015E-07  2.9402712E-08  2.4703712E-03
  2.9329682E-08  1.2027909E-07  2.6893614E-07  1.1854771E-05  3.8251488E-05  3.8924448E-05  1.3727175E-05  3.1342628E-04  1.6021878E-03  1.8248358E-05  2.6893614E-07  1.2027909E-07  2.9329682E-08  2.4686502E-03
  2.9212942E-08  1.1676055E-07  2.5996411E-07  1.1485623E-05  3.7144892E-05  3.7817695E-05  1.3134875E-05  3.0316707E-04  1.5482750E-03  1.7681549E-05  2.5996411E-07  1.1676055E-07  2.9212942E-08  2.4669245E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.6215166E-04  4.0994455E-04  4.0979325E-04  3.0285207E-03  4.6711693E-03  2.4819767E-02  2.4475206E-04  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.1830442E-03
  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.4039946E-04  3.6561439E-04  3.6554865E-04  2.1325468E-03  4.0210274E-03  2.1373056E-02  2.1278904E-04  0.0000000E+00  0.0000000E+00  0.0000000E+00  2.1824897E-03
  0.0000000E+00  0.0000000E+00  8.9504790E-08  1.2296941E-04  3.2846289E-04  3.2847694E-04  1.5495356E-03  3.5039356E-03  1.8628222E-02  1.8693674E-04  8.9504790E-08  0.0000000E+00  0.0000000E+00  2.1818904E-03
  0.0000000E+00  0.0000000E+00  5.0630203E-07  1.0872436E-04  2.9696167E-04  2.9703800E-04  1.1501604E-03  3.0836636E-03  1.6394761E-02  1.6567393E-04  5.0630203E-07  0.0000000E+00  0.0000000E+00  2.1810313E-03
  0.0000000E+00  0.0000000E+00  7.3641595E-07  9.6840668E-05  2.6991136E-04  2.7004642E-04  8.7253805E-04  2.7363476E-03  1.4547358E-02  1.4790049E-04  7.3641595E-07  0.0000000E+00  0.0000000E+00  2.1801707E-03
  0.0000000E+00  0.0000000E+00  8.5573762E-07  8.6821389E-05  2.4651048E-04  2.4669992E-04  6.7486611E-04  2.4458055E-03  1.3000751E-02  1.3289201E-04  8.5573762E-07  0.0000000E+00  0.0000000E+00  2.1793085E-03
  0.0000000E+00  0.0000000E+00  9.0851282E-07  7.8297777E-05  2.2612649E-04  2.2636573E-04  5.3109740E-04  2.2001434E-03  1.1692185E-02  1.2010126E-04  9.0851282E-07  0.0000000E+00  0.0000000E+00  2.1784448E-03
  0.0000000E+00  0.0000000E+00  9.2117162E-07  7.0986770E-05  2.0825669E-04  2.0854120E-04  4.2452884E-04  1.9904525E-03  1.0574600E-02  1.0910939E-04  9.2117162E-07  0.0000000E+00  0.0000000E+00  2.1775796E-03
  0.0000000E+00  0.0000000E+00  9.0979898E-07  6.4668634E-05  1.9249837E-04  1.9282387E-04  3.4417329E-04  1.8099484E-03  9.6121139E-03  9.9591811E-05  9.0979898E-07  0.0000000E+00  0.0000000E+00  2.1767128E-03
  0.0000000E+00  4.4946494E-08  8.8424050E-07  5.9171246E-05  1.7851835E-04  1.7888082E-04  2.8177195E-04  1.6532419E-03  8.7761699E-03  9.1291555E-05  8.8424050E-07  4.4946494E-08  0.0000000E+00  2.1757665E-03
  0.0000000E+00  9.1025476E-08  8.5047532E-07  5.4342502E-05  1.6601863E-04  1.6641434E-04  2.3304331E-04  1.5159178E-03  8.0433943E-03  8.3985868E-05  8.5047532E-07  9.1025476E-08  0.0000000E+00  2.1747866E-03
  0.0000000E+00  1.2240249E-07  8.1247196E-07  5.0076557E-05  1.5479309E-04  1.5521862E-04  1.9477750E-04  1.3948843E-03  7.3973941E-03  7.7519562E-05  8.1247196E-07  1.2240249E-07  0.0000000E+00  2.1738048E-03
  0.0000000E+00  1.4332605E-07  7.7275731E-07  4.6289887E-05  1.4467370E-04  1.4512593E-04  1.6438849E-04  1.2876639E-03  6.8250136E-03  7.1769166E-05  7.7275731E-07  1.4332605E-07  0.0000000E+00  2.1728212E-03
  0.0000000E+00  1.5676975E-07  7.3292025E-07  4.2913774E-05  1.3551919E-04  1.3599530E-04  1.4000117E-04  1.1922331E-03  6.3155009E-03  6.6633017E-05  7.3292025E-07  1.5676975E-07  0.0000000E+00  2.1718356E-03
  0.0000000E+00  1.6483895E-07  6.9394256E-07  3.9891301E-05  1.2721012E-04  1.2770756E-04  1.2023825E-04  1.1069264E-03  5.8599987E-03  6.2026821E-05  6.9394256E-07  1.6483895E-07  0.0000000E+00  2.1708481E-03
  0.0000000E+00  1.6903866E-07  6.5641030E-07  3.7175023E-05  1.1964499E-04  1.2016144E-04  1.0407584E-04  1.0303625E-03  5.4511570E-03  5.7880226E-05  6.5641030E-07  1.6903866E-07  0.0000000E+00  2.1698588E-03
  0.0000000E+00  1.7045237E-07  6.2064963E-07  3.4725145E-05  1.1273710E-04  1.1327048E-04  9.0744231E-05  9.6138810E-04  5.0828349E-03  5.4134154E-05  6.2064963E-07  1.7045237E-07  0.0000000E+00  2.1688674E-03
  0.0000000E+00  1.6986970E-07  5.8682181E-07  3.2508106E-05  1.0641205E-04  1.0696048E-04  7.9658690E-05  8.9903394E-04  4.7498695E-03  5.0738710E-05  5.8682181E-07  1.6986970E-07  0.0000000E+00  2.1678742E-03
  0.0000000E+00  1.6786401E-07  5.5497544E-07  3.0495439E-05  1.0060570E-04  1.0116747E-04  7.0370716E-05  8.4248089E-04  4.4478945E-03  4.7651519E-05  5.5497544E-07  1.6786401E-07  0.0000000E+00  2.1668790E-03
  0.0000000E+00  1.6485825E-07  5.2509257E-07  2.8662884E-05  9.5262527E-05  9.5836117E-05  6.2532996E-05  7.9103267E-04  4.1731971E-03  4.4836414E-05  5.2509257E-07  1.6485825E-07  0.0000000E+00  2.1658819E-03
  0.0000000E+00  1.6116565E-07  4.9711396E-07  2.6989664E-05  9.0334270E-05  9.0918291E-05  5.5874317E-05  7.4409445E-04  3.9226041E-03  4.2262378E-05  4.9711396E-07  1.6116565E-07  0.0000000E+00  2.1648828E-03
  0.0000000E+00  1.5701474E-07  4.7095179E-07  2.5457903E-05  8.5778810E-05  8.6372012E-05  5.0181229E-05  7.0115555E-04  3.6933899E-03  3.9902685E-05  4.7095179E-07  1.5701474E-07  0.0000000E+00  2.1638818E-03
  0.0000000E+00  1.5257624E-07  4.4650673E-07  2.4052154E-05  8.1559265E-05  8.2160519E-05  4.5284265E-05  6.6177559E-04  3.4832035E-03  3.7734210E-05  4.4650673E-07  1.5257624E-07  0.0000000E+00  2.1628788E-03
  0.0000000E+00  1.4797561E-07  4.2367273E-07  2.2759018E-05  7.7643221E-05  7.8251504E-05  4.1048005E-05  6.2557314E-04  3.2900079E-03  3.5736863E-05  4.2367273E-07  1.4797561E-07  0.0000000E+00  2.1618738E-03
  0.0000000E+00  1.4330559E-07  4.0234310E-07  2.1566825E-05  7.4002097E-05  7.4616486E-05  3.7363454E-05  5.9221653E-04  3.1120311E-03  3.3893126E-05  4.0234310E-07  1.4330559E-07  0.0000000E+00  2.1608668E-03
  0.0000000E+00  1.3863610E-07  3.8241535E-07  2.0465376E-05  7.0610615E-05  7.1230271E-05  3.4142407E-05  5.6141620E-04  2.9477259E-03  3.2187665E-05  3.8241535E-07  1.3863610E-07  0.0000000E+00  2.1598579E-03
  0.0000000E+00  1.3401526E-07  3.6378782E-07  1.9445723E-05  6.7446348E-05  6.8070513E-05  3.1312833E-05  5.3291852E-04  2.7957366E-03  3.0607008E-05  3.6378782E-07  1.3401526E-07  0.0000000E+00  2.1588469E-03
  0.0000000E+00  1.2947855E-07  3.4636557E-07  1.8499992E-05  6.4489341E-05  6.5117328E-05  2.8815699E-05  5.0650051E-04  2.6548711E-03  2.9139290E-05  3.4636557E-07  1.2947855E-07  0.0000000E+00  2.1578339E-03
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  3.8847406E-09  1.2073478E-07  3.1474588E-07  1.6816611E-05  5.9136872E-05  5.9770664E-05  2.4551364E-05  4.5910021E-04  2.4021539E-03  2.6514121E-05  3.1474588E-07  1.2073478E-07  3.8847406E-09  2.1551088E-03
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  7.4037591E-10  6.4545416E-08  1.7391485E-07  1.1801422E-05  4.8324677E-05  4.8916314E-05  1.5164761E-05  3.2479456E-04  1.7070832E-03  1.9210194E-05  1.7391485E-07  6.4545416E-08  7.4037591E-10  1.8467429E-03
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  3.9239094E-09  5.7708286E-08  1.5019931E-07  1.0221654E-05  4.2259300E-05  4.2848111E-05  1.2002884E-05  2.8003014E-04  1.4670001E-03  1.6653340E-05  1.5019931E-07  5.7708286E-08  3.9239094E-09  1.8428071E-03
  4.6688210E-09  5.5592438E-08  1.4325544E-07  9.7627650E-06  4.0478234E-05  4.1065414E-05  1.1161974E-05  2.6704334E-04  1.3974229E-03  1.5909387E-05  1.4325544E-07  5.5592438E-08  4.6688210E-09  1.8414886E-03
  5.2932527E-09  5.3559879E-08  1.3673458E-07  9.3330712E-06  3.8802148E-05  3.9387415E-05  1.0404839E-05  2.5489029E-04  1.3323472E-03  1.5212234E-05  1.3673458E-07  5.3559879E-08  5.2932527E-09  1.8401667E-03
  5.8145342E-09  5.1609841E-08  1.3060607E-07  8.9301981E-06  3.7223103E-05  3.7806208E-05  9.7209154E-06  2.4350290E-04  1.2714042E-03  1.4558116E-05  1.3060607E-07  5.1609841E-08  5.8145342E-09  1.8388415E-03
  6.2473321E-09  4.9740807E-08  1.2484165E-07  8.5520043E-06  3.5733891E-05  3.6314613E-05  9.1012102E-06  2.3281980E-04  1.2142614E-03  1.3943637E-05  1.2484165E-07  4.9740807E-08  6.2473321E-09  1.8375128E-03
  6.6041628E-09  4.7950794E-08  1.1941532E-07  8.1965558E-06  3.4327953E-05  3.4906096E-05  8.5380353E-06  2.2278555E-04  1.1606187E-03  1.3365722E-05  1.1941532E-07  4.7950794E-08  6.6041628E-09  1.8361808E-03
  6.8955939E-09  4.6237347E-08  1.1430307E-07  7.8621014E-06  3.2999314E-05  3.3574706E-05  8.0247925E-06  2.1334999E-04  1.1102045E-03  1.2821587E-05  1.1430307E-07  4.6237347E-08  6.8955939E-09  1.8348453E-03
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  7.3171302E-09  4.3029314E-08  1.0493419E-07  7.2499695E-06  3.0552581E-05  3.1122033E-05  7.1261450E-06  1.9609721E-04  1.0180993E-03  1.1824778E-05  1.0493419E-07  4.3029314E-08  7.3171302E-09  1.8321640E-03
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  7.6472951E-09  3.8721805E-08  9.2738575E-08  6.4539447E-06  2.7340115E-05  2.7899819E-05  6.0333029E-06  1.7369806E-04  8.9868772E-04  1.0526685E-05  9.2738575E-08  3.8721805E-08  7.6472951E-09  1.8281158E-03
  7.6973995E-09  3.7408899E-08  8.9103557E-08  6.2166941E-06  2.6375561E-05  2.6931850E-05  5.7235415E-06  1.6703127E-04  8.6318812E-04  1.0139383E-05  8.9103557E-08  3.7408899E-08  7.6973995E-09  1.8267594E-03
  7.7242412E-09  3.6152851E-08  8.5660188E-08  5.9918933E-06  2.5458480E-05  2.6011289E-05  5.4365964E-06  1.6071862E-04  8.2959386E-04  9.7722258E-06  8.5660188E-08  3.6152851E-08  7.7242412E-09  1.8253994E-03
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  7.7205198E-09  3.3800693E-08  7.9299373E-08  5.5763554E-06  2.3754964E-05  2.4300662E-05  4.9226405E-06  1.4906188E-04  7.6761359E-04  9.0930793E-06  7.9299373E-08  3.3800693E-08  7.7205198E-09  1.8226685E-03
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  7.6567282E-09  3.1644735E-08  7.3566813E-08  5.2014058E-06  2.2208211E-05  2.2746652E-05  4.4767646E-06  1.3855852E-04  7.1183188E-04  8.4797418E-06  7.3566813E-08  3.1644735E-08  7.6567282E-09  1.8199232E-03
  7.6074064E-09  3.0634434E-08  7.0911861E-08  5.0275518E-06  2.1487803E-05  2.2022579E-05  4.2756444E-06  1.3369366E-04  6.8601858E-04  8.1951814E-06  7.0911861E-08  3.0634434E-08  7.6074064E-09  1.8185450E-03
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  3.5292054E-10  3.1003213E-08  8.5497892E-08  7.5357154E-06  3.6131854E-05  3.6644253E-05  8.1535700E-06  2.1006542E-04  1.1027504E-03  1.2706439E-05  8.5497892E-08  3.1003213E-08  3.5292054E-10  1.5626130E-03
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  1.4424913E-09  2.8643932E-08  7.7113048E-08  6.8126664E-06  3.2826942E-05  3.3333625E-05  6.9328659E-06  1.8932971E-04  9.9137657E-04  1.1491302E-05  7.7113048E-08  2.8643932E-08  1.4424913E-09  1.5603273E-03
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  2.4997073E-09  2.5445756E-08  6.6462356E-08  5.9016670E-06  2.8617300E-05  2.9113797E-05  5.5484055E-06  1.6323733E-04  8.5148269E-04  9.9575437E-06  6.6462356E-08  2.5445756E-08  2.4997073E-09  1.5568774E-03
  2.7411402E-09  2.4469774E-08  6.3350209E-08  5.6366688E-06  2.7382525E-05  2.7875316E-05  5.1762076E-06  1.5565581E-04  8.1089513E-04  9.5107876E-06  6.3350209E-08  2.4469774E-08  2.7411402E-09  1.5557216E-03
  2.9402084E-09  2.3537137E-08  6.0429994E-08  5.3883835E-06  2.6221199E-05  2.6710168E-05  4.8394599E-06  1.4855646E-04  7.7291664E-04  9.0919515E-06  6.0429994E-08  2.3537137E-08  2.9402084E-09  1.5545630E-03
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  3.3397511E-09  2.0984756E-08  5.2684270E-08  4.7310297E-06  2.3124796E-05  2.3601793E-05  4.0018698E-06  1.2978198E-04  6.7262539E-04  7.9818222E-06  5.2684270E-08  2.0984756E-08  3.3397511E-09  1.5510694E-03
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  3.5602163E-09  1.8093431E-08  4.4302205E-08  4.0203570E-06  1.9739173E-05  2.0199561E-05  3.1800086E-06  1.0952828E-04  5.6470839E-04  6.7795730E-06  4.4302205E-08  1.8093431E-08  3.5602163E-09  1.5463694E-03
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  3.5576042E-09  1.5158150E-08  3.6173651E-08  3.3298534E-06  1.6407907E-05  1.6847371E-05  2.4590714E-06  8.9908002E-05  4.6051147E-04  5.6093168E-06  3.6173651E-08  1.5158150E-08  3.5576042E-09  1.5404256E-03
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  0.0000000E+00  0.0000000E+00  1.3754615E-07  2.4951270E-05  1.2474443E-04  1.2501505E-04  1.1054888E-04  7.1720819E-04  3.8635524E-03  4.2759103E-05  1.3754615E-07  0.0000000E+00  0.0000000E+00  1.3149919E-03
  0.0000000E+00  0.0000000E+00  1.3666082E-07  2.2269512E-05  1.1253956E-04  1.1284628E-04  8.5881107E-05  6.4031658E-04  3.4438751E-03  3.8255608E-05  1.3666082E-07  0.0000000E+00  0.0000000E+00  1.3143865E-03
  0.0000000E+00  0.0000000E+00  1.3246169E-07  1.9999132E-05  1.0203429E-04  1.0237018E-04  6.7815293E-05  5.7499395E-04  3.0876990E-03  3.4419984E-05  1.3246169E-07  0.0000000E+00  0.0000000E+00  1.3137801E-03
  0.0000000E+00  6.0223997E-09  1.2651036E-07  1.8054613E-05  9.2920030E-05  9.3279453E-05  5.4185195E-05  5.1898772E-04  2.7826152E-03  3.1126126E-05  1.2651036E-07  6.0223997E-09  0.0000000E+00  1.3131257E-03
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  0.0000000E+00  1.5856613E-08  1.1261423E-07  1.4904988E-05  7.7912919E-05  7.8306129E-05  3.5868104E-05  4.2822795E-04  2.2889412E-03  2.5773925E-05  1.1261423E-07  1.5856613E-08  0.0000000E+00  1.3117750E-03
  0.0000000E+00  1.8286220E-08  1.0557124E-07  1.3620054E-05  7.1695421E-05  7.2100373E-05  2.9696112E-05  3.9119559E-04  2.0878173E-03  2.3584008E-05  1.0557124E-07  1.8286220E-08  0.0000000E+00  1.3110979E-03
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  0.0000000E+00  2.0710804E-08  8.6254181E-08  1.0597616E-05  5.6816192E-05  5.7242038E-05  1.7900676E-05  3.0405652E-04  1.6154520E-03  1.8415510E-05  8.6254181E-08  2.0710804E-08  0.0000000E+00  1.3090592E-03
  0.0000000E+00  2.0634448E-08  8.0606310E-08  9.8037217E-06  5.2841015E-05  5.3270284E-05  1.5393161E-05  2.8115791E-04  1.4915722E-03  1.7053333E-05  8.0606310E-08  2.0634448E-08  0.0000000E+00  1.3083772E-03
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  0.0000000E+00  1.9873713E-08  7.0519674E-08  8.4534189E-06  4.6006343E-05  4.6438742E-05  1.1648382E-05  2.4219852E-04  1.2811004E-03  1.4731422E-05  7.0519674E-08  1.9873713E-08  0.0000000E+00  1.3070096E-03
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  0.0000000E+00  1.8699353E-08  6.1914618E-08  7.3553188E-06  4.0372752E-05  4.0804561E-05  9.0581601E-06  2.1050364E-04  1.1101966E-03  1.2838016E-05  6.1914618E-08  1.8699353E-08  0.0000000E+00  1.3056371E-03
  0.0000000E+00  1.8046705E-08  5.8105790E-08  6.8820144E-06  3.7921507E-05  3.8351982E-05  8.0603228E-06  1.9683905E-04  1.0366198E-03  1.2020343E-05  5.8105790E-08  1.8046705E-08  0.0000000E+00  1.3049489E-03
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  1.5349947E-10  1.3583216E-08  3.8451205E-08  4.5326737E-06  2.5505280E-05  2.5915250E-05  4.0629826E-06  1.2893508E-04  6.7220582E-04  7.9439957E-06  3.8451205E-08  1.3583216E-08  1.5349947E-10  1.2999536E-03
  4.1014757E-10  1.3022933E-08  3.6404164E-08  4.2977298E-06  2.4224542E-05  2.4630648E-05  3.7335579E-06  1.2205664E-04  6.3542376E-04  7.5323402E-06  3.6404164E-08  1.3022933E-08  4.1014757E-10  1.2989806E-03
  6.2470789E-10  1.2485807E-08  3.4497657E-08  4.0796463E-06  2.3031276E-05  2.3433381E-05  3.4413978E-06  1.1567476E-04  6.0132862E-04  7.1499785E-06  3.4497657E-08  1.2485807E-08  6.2470789E-10  1.2980053E-03
  8.0373305E-10  1.1971973E-08  3.2720379E-08  3.8768965E-06  2.1917947E-05  2.2315942E-05  3.1812337E-06  1.0974445E-04  5.6967529E-04  6.7942832E-06  3.2720379E-08  1.1971973E-08  8.0373305E-10  1.2970275E-03
  9.5266327E-10  1.1481201E-08  3.1061975E-08  3.6881194E-06  2.0877799E-05  2.1271599E-05  2.9486662E-06  1.0422562E-04  5.4024538E-04  6.4629094E-06  3.1061975E-08  1.1481201E-08  9.5266327E-10  1.2960474E-03
  1.0760623E-09  1.1013029E-08  2.9513007E-08  3.5120989E-06  1.9904762E-05  2.0294305E-05  2.7400048E-06  9.9082424E-05  5.1284381E-04  6.1537594E-06  2.9513007E-08  1.1013029E-08  1.0760623E-09  1.2950648E-03
  1.1777382E-09  1.0566802E-08  2.8064837E-08  3.3477456E-06  1.8993374E-05  1.9378612E-05  2.5521390E-06  9.4282769E-05  4.8729596E-04  5.8649527E-06  2.8064837E-08  1.0566802E-08  1.1777382E-09  1.2940798E-03
  1.2609095E-09  1.0141766E-08  2.6709598E-08  3.1940821E-06  1.8138705E-05  1.8519609E-05  2.3824358E-06  8.9797835E-05  4.6344516E-04  5.5947996E-06  2.6709598E-08  1.0141766E-08  1.2609095E-09  1.2930923E-03
  1.3283698E-09  9.7371661E-09  2.5440184E-08  3.0502290E-06  1.7336299E-05  1.7712852E-05  2.2286573E-06  8.5601703E-05  4.4115055E-04  5.3417790E-06  2.5440184E-08  9.7371661E-09  1.3283698E-09  1.2921023E-03
  1.3822908E-09  9.3520045E-09  2.4249912E-08  2.9153938E-06  1.6582123E-05  1.6954319E-05  2.0888924E-06  8.1671010E-05  4.2028526E-04  5.1045187E-06  2.4249912E-08  9.3520045E-09  1.3822908E-09  1.2911099E-03
  1.4246193E-09  8.9853857E-09  2.3132787E-08  2.7888609E-06  1.5872516E-05  1.6240361E-05  1.9615038E-06  7.7984659E-05  4.0073479E-04  4.8817784E-06  2.3132787E-08  8.9853857E-09  1.4246193E-09  1.2901150E-03
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  1.4811430E-09  8.3044684E-09  2.1096794E-08  2.5581737E-06  1.4574009E-05  1.4933200E-05  1.7384126E-06  7.1270420E-05  3.6517385E-04  4.4754711E-06  2.1096794E-08  8.3044684E-09  1.4811430E-09  1.2881176E-03
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  1.5137479E-09  7.4008503E-09  1.8469295E-08  2.2600658E-06  1.2886459E-05  1.3232886E-05  1.4670310E-06  6.2608628E-05  3.1940041E-04  3.9500027E-06  1.8469295E-08  7.4008503E-09  1.5137479E-09  1.2851024E-03
  1.5144774E-09  7.1278527E-09  1.7691447E-08  2.1716617E-06  1.2383870E-05  1.2726119E-05  1.3900962E-06  6.0043741E-05  3.0587106E-04  3.7940880E-06  1.7691447E-08  7.1278527E-09  1.5144774E-09  1.2840922E-03
  1.5113644E-09  6.8677480E-09  1.6956984E-08  2.0880977E-06  1.1907869E-05  1.2245986E-05  1.3188256E-06  5.7621097E-05  2.9310347E-04  3.6466747E-06  1.6956984E-08  6.8677480E-09  1.5113644E-09  1.2830794E-03
  1.5050173E-09  6.6198805E-09  1.6262967E-08  2.0090376E-06  1.1456682E-05  1.1790714E-05  1.2526774E-06  5.5330771E-05  2.8104403E-04  3.5071761E-06  1.6262967E-08  6.6198805E-09  1.5050173E-09  1.2820640E-03
  1.4958148E-09  6.3834783E-09  1.5606545E-08  1.9341728E-06  1.1028673E-05  1.1358670E-05  1.1911730E-06  5.3163675E-05  2.6964363E-04  3.3750539E-06  1.5606545E-08  6.3834783E-09  1.4958148E-09  1.2810459E-03
  1.4840709E-09  6.1578061E-09  1.4985087E-08  1.8632205E-06  1.0622339E-05  1.0948352E-05  1.1338883E-06  5.1111465E-05  2.5885726E-04  3.2498143E-06  1.4985087E-08  6.1578061E-09  1.4840709E-09  1.2800252E-03
  1.4703493E-09  5.9424694E-09  1.4396464E-08  1.7959210E-06  1.0236293E-05  1.0558376E-05  1.0804469E-06  4.9166480E-05  2.4864357E-04  3.1310030E-06  1.4396464E-08  5.9424694E-09  1.4703493E-09  1.2790018E-03
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  0.0000000E+00  0.0000000E+00  5.9719870E-08  1.7179968E-05  1.0271776E-04  1.0291136E-04  7.5429196E-05  5.0748536E-04  2.7171243E-03  3.0785396E-05  5.9719870E-08  0.0000000E+00  0.0000000E+00  1.0708169E-03
  0.0000000E+00  0.0000000E+00  6.1437760E-08  1.5141328E-05  9.1395988E-05  9.1625164E-05  5.6774971E-05  4.4743590E-04  2.3907545E-03  2.7188361E-05  6.1437760E-08  0.0000000E+00  0.0000000E+00  1.0703101E-03
  0.0000000E+00  0.0000000E+00  6.0514158E-08  1.3436319E-05  8.1815292E-05  8.2072224E-05  4.3555748E-05  3.9719134E-04  2.1180867E-03  2.4172855E-05  6.0514158E-08  0.0000000E+00  0.0000000E+00  1.0698025E-03
  0.0000000E+00  0.0000000E+00  5.8186113E-08  1.1996869E-05  7.3637928E-05  7.3916466E-05  3.3998295E-05  3.5474763E-04  1.8880883E-03  2.1621235E-05  5.8186113E-08  0.0000000E+00  0.0000000E+00  1.0692942E-03
  0.0000000E+00  2.5521801E-09  5.5159639E-08  1.0771628E-05  6.6598906E-05  6.6894150E-05  2.6877866E-05  3.1855241E-04  1.6922216E-03  1.9443431E-05  5.5159639E-08  2.5521801E-09  0.0000000E+00  1.0687467E-03
  0.0000000E+00  5.0416920E-09  5.1831180E-08  9.7172320E-06  6.0481261E-05  6.0789224E-05  2.1523266E-05  2.8736941E-04  1.5237136E-03  1.7565071E-05  5.1831180E-08  5.0416920E-09  0.0000000E+00  1.0681826E-03
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  0.0000000E+00  8.3781982E-09  3.3733817E-08  5.6672725E-06  3.6379548E-05  3.6713852E-05  7.2375238E-06  1.6738232E-04  8.7803674E-04  1.0310254E-05  3.3733817E-08  8.3781982E-09  0.0000000E+00  1.0647778E-03
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  0.0000000E+00  7.9945510E-09  2.9241965E-08  4.8503769E-06  3.1372987E-05  3.1705627E-05  5.4218887E-06  1.4312836E-04  7.4823823E-04  8.8372930E-06  2.9241965E-08  7.9945510E-09  0.0000000E+00  1.0636349E-03
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  0.0000000E+00  5.5153062E-09  1.6303133E-08  2.6714773E-06  1.7683368E-05  1.7987566E-05  2.0029114E-06  7.8341354E-05  4.0351685E-04  4.8865747E-06  1.6303133E-08  5.5153062E-09  0.0000000E+00  1.0584412E-03
  5.9210128E-11  5.2724588E-09  1.5372520E-08  2.5223944E-06  1.6718361E-05  1.7018562E-05  1.8321840E-06  7.3870663E-05  3.7987471E-04  4.6138906E-06  1.5372520E-08  5.2724588E-09  5.9210128E-11  1.0577424E-03
  1.5782410E-10  5.0403036E-09  1.4510019E-08  2.3857010E-06  1.5825128E-05  1.6121273E-05  1.6800042E-06  6.9742868E-05  3.5806594E-04  4.3628633E-06  1.4510019E-08  5.0403036E-09  1.5782410E-10  1.0569355E-03
  2.3981716E-10  4.8187926E-09  1.3709551E-08  2.2591516E-06  1.4995854E-05  1.5287904E-05  1.5453646E-06  6.5923350E-05  3.3790854E-04  4.1303541E-06  1.3709551E-08  4.8187926E-09  2.3981716E-10  1.0561267E-03
  3.0783214E-10  4.6078191E-09  1.2965870E-08  2.1418023E-06  1.4224814E-05  1.4512747E-05  1.4257371E-06  6.2383435E-05  3.1924757E-04  3.9146538E-06  1.2965870E-08  4.6078191E-09  3.0783214E-10  1.0553159E-03
  3.6405289E-10  4.4071433E-09  1.2274202E-08  2.0328140E-06  1.3506895E-05  1.3790705E-05  1.3190195E-06  5.9097625E-05  3.0194532E-04  3.7142412E-06  1.2274202E-08  4.4071433E-09  3.6405289E-10  1.0545032E-03
  4.1030895E-10  4.2164533E-09  1.1630227E-08  1.9314392E-06  1.2837521E-05  1.3117215E-05  1.2234550E-06  5.6043192E-05  2.8587918E-04  3.5277597E-06  1.1630227E-08  4.2164533E-09  4.1030895E-10  1.0536884E-03
  4.4811371E-10  4.0353652E-09  1.1030004E-08  1.8370100E-06  1.2212585E-05  1.2488182E-05  1.1375680E-06  5.3199829E-05  2.7093965E-04  3.3539963E-06  1.1030004E-08  4.0353652E-09  4.4811371E-10  1.0528717E-03
  4.7875269E-10  3.8634799E-09  1.0469974E-08  1.7489285E-06  1.1628399E-05  1.1899925E-05  1.0601137E-06  5.0549355E-05  2.5702879E-04  3.1918641E-06  1.0469974E-08  3.8634799E-09  4.7875269E-10  1.0520529E-03
  5.0337730E-10  3.7004490E-09  9.9469750E-09  1.6666586E-06  1.1081637E-05  1.1349128E-05  9.9003722E-07  4.8075455E-05  2.4405876E-04  3.0403873E-06  9.9469750E-09  3.7004490E-09  5.0337730E-10  1.0512321E-03
  5.2276534E-10  3.5457129E-09  9.4579329E-09  1.5897179E-06  1.0569301E-05  1.0832797E-05  9.2644049E-07  4.5763460E-05  2.3195065E-04  2.8986879E-06  9.4579329E-09  3.5457129E-09  5.2276534E-10  1.0504092E-03
  5.3768771E-10  3.3988465E-09  9.0001743E-09  1.5176723E-06  1.0088678E-05  1.0348226E-05  8.6855600E-07  4.3600154E-05  2.2063343E-04  2.7659742E-06  9.0001743E-09  3.3988465E-09  5.3768771E-10  1.0495843E-03
  5.4886679E-10  3.2595008E-09  8.5713342E-09  1.4501297E-06  9.6373123E-06  9.8929630E-06  8.1572520E-07  4.1573608E-05  2.1004303E-04  2.6415314E-06  8.5713342E-09  3.2595008E-09  5.4886679E-10  1.0487574E-03
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  5.6597857E-10  2.7693087E-09  7.1035161E-09  1.2183825E-06  8.0827622E-06  8.3233917E-06  6.4467038E-07  3.4633868E-05  1.7387035E-04  2.2144020E-06  7.1035161E-09  2.7693087E-09  5.6597857E-10  1.0454287E-03
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  5.6310123E-10  2.5594721E-09  6.4938586E-09  1.1217402E-06  7.4317867E-06  7.6652717E-06  5.7784663E-07  3.1747477E-05  1.5887388E-04  2.0362318E-06  6.4938586E-09  2.5594721E-09  5.6310123E-10  1.0437516E-03
  5.5981721E-10  2.4623013E-09  6.2150939E-09  1.0774353E-06  7.1328219E-06  7.3628294E-06  5.4806971E-07  3.0426050E-05  1.5201917E-04  1.9545459E-06  6.2150939E-09  2.4623013E-09  5.5981721E-10  1.0429099E-03
  5.5546932E-10  2.3698132E-09  5.9519951E-09  1.0355577E-06  6.8499318E-06  7.0765257E-06  5.2041212E-07  2.9178181E-05  1.4555278E-04  1.8773341E-06  5.9519951E-09  2.3698132E-09  5.5546932E-10  1.0420660E-03
  5.5011841E-10  2.2816368E-09  5.7033731E-09  9.9593921E-07  6.5820343E-06  6.8052781E-06  4.9467863E-07  2.7998756E-05  1.3944740E-04  1.8042879E-06  5.7033731E-09  2.2816368E-09  5.5011841E-10  1.0412199E-03
  5.4408350E-10  2.1976975E-09  5.4684075E-09  9.5842611E-07  6.3281346E-06  6.5480918E-06  4.7069617E-07  2.6883086E-05  1.3367805E-04  1.7351250E-06  5.4684075E-09  2.1976975E-09  5.4408350E-10  1.0403717E-03
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  1.9391178E-11  1.7342829E-09  5.2290608E-09  1.2633219E-06  9.9169646E-06  1.0114095E-05  7.2083716E-07  3.8497316E-05  1.9363329E-04  2.4236765E-06  5.2290608E-09  1.7342829E-09  1.9391178E-11  8.3592402E-04
  5.1544040E-11  1.6524168E-09  4.9183914E-09  1.1915004E-06  9.3513164E-06  9.5449325E-06  6.5940146E-07  3.6231482E-05  1.8191051E-04  2.2845933E-06  4.9183914E-09  1.6524168E-09  5.1544040E-11  8.3527720E-04
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  9.9999569E-11  1.5010394E-09  4.3654393E-09  1.0639110E-06  8.3438114E-06  8.5304736E-06  5.5712574E-07  3.2210578E-05  1.6114750E-04  2.0374408E-06  4.3654393E-09  1.5010394E-09  9.9999569E-11  8.3397887E-04
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  3.3782763E-11  3.4761149E-10  1.0281878E-09  4.0468200E-07  3.7667998E-06  3.8665256E-06  1.5194900E-07  1.2821273E-05  6.1781242E-05  8.1473189E-07  1.0281878E-09  3.4761149E-10  3.3782763E-11  6.3140861E-04
  3.6694890E-11  3.3058618E-10  9.6857042E-10  3.8284018E-07  3.5567659E-06  3.6542200E-06  1.4067572E-07  1.2093890E-05  5.8165216E-05  7.6982225E-07  9.6857042E-10  3.3058618E-10  3.6694890E-11  6.3090710E-04
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  4.2200161E-11  2.8532423E-10  8.1467181E-10  3.2626384E-07  3.0126103E-06  3.1035913E-06  1.1314935E-07  1.0214779E-05  4.8849300E-05  6.5357849E-07  8.1467181E-10  2.8532423E-10  4.2200161E-11  6.2939518E-04
  4.3169275E-11  2.7192054E-10  7.7045817E-10  3.0996201E-07  2.8558313E-06  2.9447684E-06  1.0565223E-07  9.6749147E-06  4.6180505E-05  6.2011307E-07  7.7045817E-10  2.7192054E-10  4.3169275E-11  6.2888874E-04
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  0.0000000E+00  0.0000000E+00  2.9910620E-10  5.3800759E-07  5.5010148E-06  5.5282254E-06  3.5016021E-07  1.4892547E-05  6.7032607E-05  8.8155707E-07  2.9910620E-10  0.0000000E+00  0.0000000E+00  2.8376689E-04
  0.0000000E+00  0.0000000E+00  2.8331714E-10  4.9603848E-07  4.7447811E-06  4.7729724E-06  2.5379920E-07  1.2813446E-05  5.7428920E-05  7.5848276E-07  2.8331714E-10  0.0000000E+00  0.0000000E+00  2.8362465E-04
  0.0000000E+00  6.5657101E-12  2.6685712E-10  4.5335389E-07  4.1205998E-06  4.1492179E-06  1.8784258E-07  1.1103309E-05  4.9563402E-05  6.5743655E-07  2.6685712E-10  6.5657101E-12  0.0000000E+00  2.8347202E-04
  0.0000000E+00  1.2448555E-11  1.5096906E-10  4.1781920E-07  3.5995082E-06  3.6281487E-06  1.4183123E-07  9.6800885E-06  4.3044054E-05  5.7342987E-07  1.5096906E-10  1.2448555E-11  0.0000000E+00  2.8331501E-04
  0.0000000E+00  1.5729382E-11  1.3618585E-10  3.9797349E-07  3.1611697E-06  3.1895441E-06  1.0918493E-07  8.4863175E-06  3.7596702E-05  5.0299787E-07  1.3618585E-10  1.5729382E-11  0.0000000E+00  2.8315773E-04
  0.0000000E+00  1.7383888E-11  1.2273045E-10  3.7272625E-07  2.7902599E-06  2.8182266E-06  8.5558746E-08  7.4779518E-06  3.3012053E-05  4.4352413E-07  1.2273045E-10  1.7383888E-11  0.0000000E+00  2.8300020E-04
  0.0000000E+00  1.8040218E-11  1.1065689E-10  3.5122176E-07  2.4741106E-06  2.5014694E-06  6.8144186E-08  6.6206626E-06  2.9127692E-05  3.9297216E-07  1.1065689E-10  1.8040218E-11  0.0000000E+00  2.8284239E-04
  0.0000000E+00  1.8108196E-11  9.9928939E-11  3.3279364E-07  2.2031097E-06  2.2297656E-06  5.5087754E-08  5.8874338E-06  2.5816327E-05  3.4974122E-07  9.9928939E-11  1.8108196E-11  0.0000000E+00  2.8268432E-04
  0.0000000E+00  1.7678760E-11  9.0287530E-11  3.1691243E-07  1.9696836E-06  1.9955689E-06  4.5142531E-08  5.2568140E-06  2.2977270E-05  3.1256153E-07  9.0287530E-11  1.7678760E-11  0.0000000E+00  2.8252598E-04
  0.0000000E+00  1.7136867E-11  8.1840460E-11  3.0315434E-07  1.7674352E-06  1.7925222E-06  3.7454518E-08  4.7116285E-06  2.0530199E-05  2.8041776E-07  8.1840460E-11  1.7136867E-11  0.0000000E+00  2.8236737E-04
  0.0000000E+00  1.6272841E-11  7.4156750E-11  2.9117691E-07  1.5914353E-06  1.6157068E-06  3.1429091E-08  4.2380209E-06  1.8410530E-05  2.5249101E-07  7.4156750E-11  1.6272841E-11  0.0000000E+00  2.8220850E-04
  0.0000000E+00  1.5447055E-11  6.7418653E-11  2.9070627E-07  1.4376057E-06  1.4610581E-06  2.6645866E-08  3.8247305E-06  1.6565950E-05  2.2811683E-07  6.7418653E-11  1.5447055E-11  0.0000000E+00  2.8204935E-04
  0.0000000E+00  1.4699788E-11  6.1522051E-11  2.8150963E-07  1.3026005E-06  1.3252401E-06  2.2803093E-08  3.4625453E-06  1.4953790E-05  2.0675177E-07  6.1522051E-11  1.4699788E-11  0.0000000E+00  2.8188993E-04
  0.0000000E+00  1.3789268E-11  5.6107316E-11  2.7339906E-07  1.1836577E-06  1.2054980E-06  1.9681384E-08  3.1438811E-06  1.3539028E-05  1.8794847E-07  5.6107316E-11  1.3789268E-11  0.0000000E+00  2.8173025E-04
  0.0000000E+00  1.2960675E-11  5.1322802E-11  2.6621936E-07  1.0784848E-06  1.0995443E-06  1.7119108E-08  2.8624576E-06  1.2292741E-05  1.7133709E-07  5.1322802E-11  1.2960675E-11  0.0000000E+00  2.8157028E-04
  0.0000000E+00  1.2193580E-11  4.7068060E-11  2.5984102E-07  9.8516796E-07  1.0054687E-06  1.4995681E-08  2.6130441E-06  1.1190906E-05  1.5660953E-07  4.7068060E-11  1.2193580E-11  0.0000000E+00  2.8141004E-04
  0.0000000E+00  1.1539365E-11  4.3327967E-11  2.5415553E-07  9.0210189E-07  9.2166812E-07  1.3220156E-08  2.3912622E-06  1.0213463E-05  1.4350808E-07  4.3327967E-11  1.1539365E-11  0.0000000E+00  2.8124952E-04
  0.0000000E+00  1.0950750E-11  3.9999676E-11  2.4907147E-07  8.2793322E-07  8.4679063E-07  1.1723243E-08  2.1934282E-06  9.3435795E-06  1.3181590E-07  3.9999676E-11  1.0950750E-11  0.0000000E+00  2.8108874E-04
  0.0000000E+00  1.0267566E-11  3.6876378E-11  2.4451142E-07  7.6151617E-07  7.7969115E-07  1.0451401E-08  2.0164296E-06  8.5670652E-06  1.2124976E-07  3.6876378E-11  1.0267566E-11  0.0000000E+00  2.8092768E-04
  0.0000000E+00  9.6333683E-12  3.4062247E-11  2.3040976E-07  7.0187612E-07  7.1939529E-07  9.3630891E-09  1.8576228E-06  7.8718949E-06  1.1185427E-07  3.4062247E-11  9.6333683E-12  0.0000000E+00  2.8076633E-04
  0.0000000E+00  9.0477857E-12  3.1523547E-11  2.2671039E-07  6.4818082E-07  6.6507066E-07  8.4256404E-09  1.7147543E-06  7.2478413E-06  1.0339693E-07  3.1523547E-11  9.0477857E-12  0.0000000E+00  2.8060470E-04
  8.7730150E-14  8.5030952E-12  2.9223707E-11  2.2341182E-07  5.9985234E-07  6.1613830E-07  7.6047935E-09  1.5858972E-06  6.6860618E-06  9.5809745E-08  2.9223707E-11  8.5030952E-12  8.7730150E-14  2.8041191E-04
  2.3001861E-13  7.9891931E-12  2.7126085E-11  2.2045411E-07  5.5599935E-07  5.7170571E-07  6.8830441E-09  1.4692165E-06  6.1783377E-06  8.8971186E-08  2.7126085E-11  7.9891931E-12  2.3001861E-13  2.8019045E-04
  3.4399353E-13  7.5105118E-12  2.5214782E-11  2.1775750E-07  5.1615959E-07  5.3130947E-07  6.2516387E-09  1.3632839E-06  5.7183416E-06  8.2754367E-08  2.5214782E-11  7.5105118E-12  3.4399353E-13  2.7996847E-04
  4.3483091E-13  7.0649195E-12  2.3470490E-11  2.1529399E-07  4.7989549E-07  4.9451150E-07  5.6965505E-09  1.2669182E-06  5.3007437E-06  7.7091359E-08  2.3470490E-11  7.0649195E-12  4.3483091E-13  2.7974596E-04
  5.0675362E-13  6.6503001E-12  2.1876170E-11  2.1303912E-07  4.4693533E-07  4.6103025E-07  5.2063159E-09  1.1790880E-06  4.9209006E-06  7.1922847E-08  2.1876170E-11  6.6503001E-12  5.0675362E-13  2.7952291E-04
  5.6347714E-13  6.2648539E-12  2.0417021E-11  2.1097140E-07  4.1673650E-07  4.3034180E-07  4.7715062E-09  1.0988905E-06  4.5747555E-06  6.7196891E-08  2.0417021E-11  6.2648539E-12  5.6347714E-13  2.7929932E-04
  6.0612944E-13  5.9048968E-12  1.9077998E-11  2.0907193E-07  3.8909896E-07  4.0223508E-07  4.3843150E-09  1.0255337E-06  4.2587549E-06  6.2867886E-08  1.9077998E-11  5.9048968E-12  6.0612944E-13  2.7907519E-04
  6.3903155E-13  5.5705397E-12  1.7849260E-11  2.0732407E-07  3.6376360E-07  3.7645024E-07  4.0382423E-09  9.5832028E-07  3.9697775E-06  5.8996066E-08  1.7849260E-11  5.5705397E-12  6.3903155E-13  2.7885052E-04
  6.7643275E-13  5.2723388E-12  1.6732621E-11  1.9571308E-07  3.4050166E-07  3.5275774E-07  3.7278445E-09  8.9663549E-07  3.7050752E-06  5.5345780E-08  1.6732621E-11  5.2723388E-12  6.7643275E-13  2.7862531E-04
  6.9579763E-13  4.9845112E-12  1.5694599E-11  1.9422589E-07  3.1911068E-07  3.3095433E-07  3.4485368E-09  8.3993577E-07  3.4622231E-06  5.1985450E-08  1.5694599E-11  4.9845112E-12  6.9579763E-13  2.7839954E-04
  7.0081225E-13  4.7078801E-12  1.4729222E-11  1.9285090E-07  2.9941107E-07  3.1085964E-07  3.1964380E-09  7.8773942E-07  3.2390755E-06  4.8887309E-08  1.4729222E-11  4.7078801E-12  7.0081225E-13  2.7817323E-04
  7.0501336E-13  4.4534522E-12  1.3841484E-11  1.9157779E-07  2.8124320E-07  2.9231330E-07  2.9682477E-09  7.3961869E-07  3.0337305E-06  4.6026694E-08  1.3841484E-11  4.4534522E-12  7.0501336E-13  2.7794636E-04
  7.1189090E-13  4.2224772E-12  1.3027303E-11  1.8039736E-07  2.6446488E-07  2.7517238E-07  2.7611439E-09  6.9519291E-07  2.8444981E-06  4.3381635E-08  1.3027303E-11  4.2224772E-12  7.1189090E-13  2.7771892E-04
  7.2017602E-13  4.0116978E-12  1.2278685E-11  1.7930137E-07  2.4894921E-07  2.5930925E-07  2.5727034E-09  6.5412261E-07  2.6698740E-06  4.0932527E-08  1.2278685E-11  4.0116978E-12  7.2017602E-13  2.7749093E-04
  7.0916086E-13  3.7986380E-12  1.1568934E-11  1.7828241E-07  2.3458272E-07  2.4460976E-07  2.4008373E-09  6.1610454E-07  2.5085160E-06  3.8661823E-08  1.1568934E-11  3.7986380E-12  7.0916086E-13  2.7726238E-04
  6.9334963E-13  3.5962259E-12  1.0907215E-11  1.7733387E-07  2.2126373E-07  2.3097157E-07  2.2437371E-09  5.8086716E-07  2.3592247E-06  3.6553835E-08  1.0907215E-11  3.5962259E-12  6.9334963E-13  2.7703325E-04
  6.8503901E-13  3.4153508E-12  1.0301052E-11  1.7644982E-07  2.0890103E-07  2.1830280E-07  2.0998315E-09  5.4816701E-07  2.2209259E-06  3.4594483E-08  1.0301052E-11  3.4153508E-12  6.8503901E-13  2.7680356E-04
  6.7918563E-13  3.2497106E-12  9.7411283E-12  1.7562489E-07  1.9741257E-07  2.0652082E-07  1.9677487E-09  5.1778532E-07  2.0926562E-06  3.2771097E-08  9.7411283E-12  3.2497106E-12  6.7918563E-13  2.7657329E-04
  6.8030126E-13  3.1026885E-12  9.2281221E-12  1.7485423E-07  1.8672448E-07  1.9555116E-07  1.8462883E-09  4.8952523E-07  1.9735495E-06  3.1072269E-08  9.2281221E-12  3.1026885E-12  6.8030126E-13  2.7634243E-04
  6.7373164E-13  2.9586175E-12  8.7439362E-12  1.7413347E-07  1.7677014E-07  1.8532662E-07  1.7343960E-09  4.6320928E-07  1.8628267E-06  2.9487696E-08  8.7439362E-12  2.9586175E-12  6.7373164E-13  2.7611100E-04
  6.4690096E-13  2.8040109E-12  8.2728955E-12  1.7345864E-07  1.6748933E-07  1.7578646E-07  1.6311428E-09  4.3867726E-07  1.7597853E-06  2.8008068E-08  8.2728955E-12  2.8040109E-12  6.4690096E-13  2.7587898E-04
  6.2447834E-13  2.6627168E-12  7.8368737E-12  1.7282616E-07  1.5882758E-07  1.6687572E-07  1.5357082E-09  4.1578425E-07  1.6637905E-06  2.6624990E-08  7.8368737E-12  2.6627168E-12  6.2447834E-13  2.7564639E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  4.4176180E-07  3.9291652E-06  3.9208798E-06  9.0224880E-07  9.2096846E-06  3.6903066E-05  5.0102575E-07  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.3835839E-04
  0.0000000E+00  0.0000000E+00  0.0000000E+00  3.8724878E-07  2.9616098E-06  2.9587469E-06  5.0397968E-07  6.9438645E-06  2.7762701E-05  3.7774688E-07  0.0000000E+00  0.0000000E+00  0.0000000E+00  1.3831701E-04
  0.0000000E+00  0.0000000E+00  4.0285207E-10  3.3939989E-07  2.2871553E-06  2.2875652E-06  2.9442473E-07  5.3641965E-06  2.1400762E-05  2.9187661E-07  4.0285207E-10  0.0000000E+00  0.0000000E+00  1.3826509E-04
  0.0000000E+00  0.0000000E+00  2.1392883E-10  3.1228823E-07  1.8013674E-06  1.8037612E-06  1.7844255E-07  4.2258632E-06  1.6823129E-05  2.3024461E-07  2.1392883E-10  0.0000000E+00  0.0000000E+00  1.3819631E-04
  0.0000000E+00  0.0000000E+00  2.1775958E-10  2.9218728E-07  1.4421305E-06  1.4457099E-06  1.1210985E-07  3.3839206E-06  1.3442755E-05  1.8473564E-07  2.1775958E-10  0.0000000E+00  0.0000000E+00  1.3812742E-04
  0.0000000E+00  0.0000000E+00  2.1828327E-10  2.7698238E-07  1.1711078E-06  1.1753684E-06  7.2688201E-08  2.7485796E-06  1.0895804E-05  1.5037036E-07  2.1828327E-10  0.0000000E+00  0.0000000E+00  1.3805843E-04
  0.0000000E+00  0.0000000E+00  1.7502535E-11  2.6527754E-07  9.6302717E-07  9.6764650E-07  4.8495723E-08  2.2605838E-06  8.9427566E-06  1.2395944E-07  1.7502535E-11  0.0000000E+00  0.0000000E+00  1.3798934E-04
  0.0000000E+00  0.0000000E+00  1.6053115E-11  2.4612659E-07  8.0078514E-07  8.0555565E-07  3.3212298E-08  1.8800496E-06  7.4217177E-06  1.0334401E-07  1.6053115E-11  0.0000000E+00  0.0000000E+00  1.3792014E-04
  0.0000000E+00  0.0000000E+00  1.4482563E-11  2.3887349E-07  6.7253594E-07  6.7732404E-07  2.3298953E-08  1.5791399E-06  6.2206892E-06  8.7028860E-08  1.4482563E-11  0.0000000E+00  0.0000000E+00  1.3785084E-04
  0.0000000E+00  4.3259376E-13  1.2905968E-11  2.3306026E-07  5.6982605E-07  5.7454566E-07  1.6658446E-08  1.3379484E-06  5.2597141E-06  7.3960149E-08  1.2905968E-11  4.3259376E-13  0.0000000E+00  1.3777650E-04
  0.0000000E+00  8.0030348E-13  1.1451391E-11  2.2833065E-07  4.8645500E-07  4.9105017E-07  1.2134256E-08  1.1421647E-06  4.4804398E-06  6.3341040E-08  1.1451391E-11  8.0030348E-13  0.0000000E+00  1.3770002E-04
  0.0000000E+00  9.8321768E-13  1.0139957E-11  2.2444250E-07  4.1814512E-07  4.2258167E-07  9.0045686E-09  9.8168064E-07  3.8425854E-06  5.4626295E-08  1.0139957E-11  9.8321768E-13  0.0000000E+00  1.3762341E-04
  0.0000000E+00  1.0604309E-12  8.9814269E-12  2.2121932E-07  3.6170753E-07  3.6596610E-07  6.7999873E-09  8.4893475E-07  3.3161029E-06  4.7414261E-08  8.9814269E-12  1.0604309E-12  0.0000000E+00  1.3754668E-04
  0.0000000E+00  1.0840035E-12  7.9752536E-12  2.0853579E-07  3.1472057E-07  3.1879177E-07  5.2203501E-09  7.3844984E-07  2.8781945E-06  4.1399719E-08  7.9752536E-12  1.0840035E-12  0.0000000E+00  1.3746981E-04
  0.0000000E+00  1.0852685E-12  7.1123487E-12  2.0628676E-07  2.7532462E-07  2.7920577E-07  4.0701298E-09  6.4576948E-07  2.5113687E-06  3.6348120E-08  7.1123487E-12  1.0852684E-12  0.0000000E+00  1.3739282E-04
  0.0000000E+00  1.0337262E-12  6.3308360E-12  2.0438067E-07  2.4207688E-07  2.4576977E-07  3.2197397E-09  5.6751423E-07  2.2020666E-06  3.2077309E-08  6.3308360E-12  1.0337262E-12  0.0000000E+00  1.3731570E-04
  0.0000000E+00  1.0069946E-12  5.6837425E-12  2.0275545E-07  2.1384733E-07  2.1735663E-07  2.5818800E-09  5.0103652E-07  1.9396764E-06  2.8444594E-08  5.6837425E-12  1.0069946E-12  0.0000000E+00  1.3723845E-04
  0.0000000E+00  9.1983700E-13  5.0663921E-12  2.0136178E-07  1.8974302E-07  1.9307525E-07  2.0968365E-09  4.4424399E-07  1.7158203E-06  2.5337007E-08  5.0663921E-12  9.1983700E-13  0.0000000E+00  1.3716106E-04
  0.0000000E+00  8.6145104E-13  4.5524855E-12  2.0016044E-07  1.6905262E-07  1.7221538E-07  1.7231858E-09  3.9546933E-07  1.5238286E-06  2.2664610E-08  4.5524855E-12  8.6145104E-13  0.0000000E+00  1.3708355E-04
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  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00  0.0000000E+00
 'End:'
pythia8-8.1.86.orig/xmldoc/StandardModelParameters.xml0000444000175000017500000003240412357055030021115 0ustar  sunsun 
 

    Standard-Model Parameters
     
 

    The strong coupling
     
 
The AlphaStrong class is used to provide a first- or 
second-order running alpha_strong (or, trivially, a 
zeroth-order fixed one). Formulae are the standard ones found in 
Yao06. The second-order expression used, eq. (9.5), 
may be somewhat different in other approaches (with differences 
formally of higher order), so do not necessarily expect perfect 
agreement, especially not at small Q^2 scales. The starting 
alpha_strong value is defined at the M_Z mass scale. 
The Lambda values are matched at the c, b 
and t flavour thresholds, 
such that alpha_strong is continuous. 
For second-order matching an approximate iterative method is used. 
 

     
For backwards compatibility, 
the following global switch determines whether 5- or 6-flavour running 
will be used above the t threshold: 
 
 
 
 
  

     
Since we allow alpha_strong to vary separately for 
hard processes, timelike showers, spacelike showers and  multiparton 
interactions, all other relevant values are set in each of these classes. 
The default behaviour is everywhere first-order running. 
 

     
The alpha_strong calculation is initialized by 
init( value, order, nfmax), where value 
is the alpha_strong value at M_Z, order 
is the order of the running, 0, 1 or 2, and nfmax 
is the highest number of flavours to include in the running. Thereafter 
the value can be calculated by alphaS(scale2), where 
scale2 is the Q^2 scale in GeV^2. 
 

     
For applications inside shower programs, a second-order alpha_s 
value can be obtained as the product of the two functions 
alphaS1Ord(scale2) and alphaS2OrdCorr(scale2), 
where the first gives a simple first-order running (but with the 
second-order Lambda) and the second the correction factor, 
below unity, for the second-order terms. This allows a compact handling 
of evolution equations. 
 

     
Resummation arguments Cat91 show that a set of 
universal QCD corrections can be absorbed in coherent parton showers by 
applying the so-called CMW rescaling of the MSbar value of 
Lambda_QCD. This can be accomplished via a fourth (optional) 
boolean argument to init( value, order, nfmax, useCMW), 
with default value useCMW = false. When set to 
true, the translation amounts to an N_F-dependent 
rescaling of Lambda_QCD, relative to its MSbar value, by 
a factor 1.661 for NF=3, 1.618 for NF=4, 1.569 for NF=5, 
and 1.513 for NF=6. When using this option, 
be aware that the original CMW arguments were derived using two-loop running 
and that the CMW rescaling may need be taken into account in the context of 
matrix-element matching. Note also that this option has only been made 
available for timelike and spacelike showers, not for hard processes. 
  

    The electromagnetic coupling
     
 
The AlphaEM class is used to generate a running 
alpha_em. The input StandardModel:alphaEMmZ 
value at the M_Z mass is matched to a low-energy behaviour 
with running starting at the electron mass threshold. The matching 
is done by fitting an effective running coefficient in the region 
between the light-quark threshold and the charm/tau threshold. This 
procedure is approximate, but good enough for our purposes. 
 

     
Since we allow alpha_em to vary separately for 
hard processes, timelike showers, spacelike showers and  multiparton 
interactions, the choice between using a fixed or a running 
alpha_em can be made in each of these classes. 
The default behaviour is everywhere first-order running. 
The actual values assumed at zero momentum transfer and 
at M_Z are only set here, however. 
 
 
The alpha_em value at vanishing momentum transfer 
(and also below m_e). 
 
 
 
The alpha_em value at the M_Z mass scale. 
Default is taken from Yao06. 
 
 

     
The alpha_em calculation is initialized by 
init(order), where order is the order of 
the running, 0 or 1, with -1 a special option to use the fix value 
provided at M_Z.   Thereafter the value can be 
calculated by alphaEM(scale2), where 
scale2 is the Q^2 scale in GeV^2. 
 

    The electroweak couplings
     
 
There are two degrees of freedom that can be set, related to the 
electroweak mixing angle: 
 
 
The sine-squared of the weak mixing angle, as used in all Z^0 
and W^+- masses and couplings, except for the vector couplings 
of fermions to the Z^0, see below. Default is the MSbar value 
from Yao06. 
 
 
 
The sine-squared of the weak mixing angle, as used to derive the vector 
couplings of fermions to the Z^0, in the relation 
v_f = a_f - 4 e_f sin^2(theta_W)bar. Default is the 
effective-angle value from Yao06. 
 
 

     
The Fermi constant is not much used in the currently coded matrix elements, 
since it is redundant, but it is available: 
 
 
The Fermi coupling constant, in units of GeV^-2. 
 
 

    The quark weak-mixing matrix
     
 
The absolute values of the Cabibbo-Kobayashi-Maskawa matrix elements are 
set by the following nine real values taken from Yao06 - 
currently the CP-violating phase is not taken into account in this 
parametrization. It is up to the user to pick a consistent unitary 
set of new values whenever changes are made. 
 
 
The V_ud CKM matrix element. 
 
 
 
The V_us CKM matrix element. 
 
 
 
The V_ub CKM matrix element. 
 
 
 
The V_cd CKM matrix element. 
 
 
 
The V_cs CKM matrix element. 
 
 
 
The V_cb CKM matrix element. 
 
 
 
The V_td CKM matrix element. 
 
 
 
The V_ts CKM matrix element. 
 
 
 
The V_tb CKM matrix element. 
 
 

    The CoupSM class
     
 
The Pythia class contains a 
public instance coupSM of the CoupSM class. 
This class contains one instance each of the AlphaStrong 
and AlphaEM classes, and additionally stores the weak couplings 
and the quark mixing matrix mentioned above. This class is used especially 
in the calculation of cross sections and resonance widths, but could also 
be used elsewhere. Specifically, as already mentioned, there are separate 
AlphaStrong and AlphaEM instances for timelike 
and spacelike showers and for multiparton interactions, while weak couplings 
and the quark mixing matrix are only stored here. With the exception of the 
first two methods below, which are for internal use, the subsequent ones 
could also be used externally. 
 
 
the constructor does nothing. Internal. 
 
 
 
this is where the AlphaStrong and AlphaEM 
instances are initialized, and weak couplings and the quark mixing matrix 
are read in and set. This is based on the values stored on this page and 
among the Couplings and Scales. 
Internal. 
 
 
 
the alpha_strong value at the quadratic scale scale2. 
 
 
 
a first-order overestimate of the full second-order alpha_strong 
value at the quadratic scale scale2. 
 
 
 
a multiplicative correction factor, below unity, that brings the 
first-order overestimate above into agreement with the full second-order 
alpha_strong value at the quadratic scale scale2. 
 
 
 
 
 
 
 
the three-, four-, and five-flavour Lambda scale. 
 
 
 
the alpha_em value at the quadratic scale scale2. 
 
 
 
 
 
the sine-squared and cosine-squared of the weak mixing angle, as used in 
the gauge-boson sector. 
 
 
 
the sine-squared of the weak mixing angle, as used to derive the vector 
couplings of fermions to the Z^0. 
 
 
 
the Fermi constant of weak decays, in GeV^-2. 
 
 
 
the electrical charge of a fermion, by the absolute sign of the PDF code, 
i.e. idAbs must be in the range between 1 and 18. 
 
 
 
 
 
the vector and axial charges of a fermion, by the absolute sign of the PDF 
code (a_f = +-1, v_f = a_f - 4. * sin2thetaWbar * e_f). 
 
 
 
 
 
 
 
the weak isospin, left- and righthanded charges of a fermion, by the 
absolute sign of the PDF code (t^3_f = a_f/2, l_f = (v_f + a_f)/2, 
r_f = (v_f - a_f)/2; you may find other conventions in the literature 
that differ by a factor of 2). 
 
 
 
 
 
 
 
 
 
 
 
common quadratic combinations of the above couplings: 
e_f^2, v_f^2, a_f^2, e_f * v_f, v_f^2 + a_f^2. 
 
 
 
 
 
the CKM mixing element,or the square of it, for 
up-type generation index genU 
(1 = u, 2 = c, 3 = t, 4 = t') and 
down-type generation index genD 
(1 = d, 2 = s, 3 = b, 4 = b'). 
 
 
 
 
 
the CKM mixing element,or the square of it, for 
flavours id1 and id2, both in the 
range from -18 to +18. The sign is here not 
checked (so it can be used both for u + dbar → W+ 
and u → d + W+, say), but impossible flavour combinations 
evaluate to zero. The neutrino sector is numbered by flavor 
eigenstates, so there is no mixing in the lepton-neutrino system. 
 
 
 
the sum of squared CKM mixing element that a given flavour can couple to, 
excluding the top quark and fourth generation. Is close to unity 
for the first two generations. Returns unity for the lepton-neutrino 
sector. 
 
 
 
picks a random CKM partner quark or lepton (with the same sign as 
id) according to the respective squared elements, again 
excluding the top quark and fourth generation from the list of 
possibilities. Unambiguous choice for the lepton-neutrino sector. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/ProgramFlow.xml0000444000175000017500000013767212357055027016632 0ustar  sunsun 
 

    Program Flow
     
 
Recall that, to first order, the event generation process can be 
subdivided into three stages: 

       

    1. Initializaion.
      2.  

    2. The event loop.
      3.  

    3. Finishing.
      4.  

     
This is reflected in how the top-level Pythia class should 
be used in the user-supplied main program, further outlined in the 
following. Since the nature of the run is defined at the initialization 
stage, this is where most of the PYTHIA user code has to be written. 
So as not to confuse the reader unduly, the description of initialization 
options has been subdivided into what would normally be used and what is 
intended for more special applications. 
 

     
At the bottom of this webpage is a complete survey of all public 
Pythia methods and data members, in a more formal style 
than the task-oriented descriptions found in the preceding sections. 
This offers complementary information. 
    

    Initialization - normal usage
     
 

       
 

    1.  
Already at the top of the main program file, you need to include the proper 
header file 

       
    #include "Pythia8/Pythia.h" 

       
To simplify typing, it also makes sense to declare 

       
    using namespace Pythia8; 

       

      2.  
 

       

    2.  
The first step is to create a generator object, 
e.g. with 

       
     Pythia pythia; 

       
It is this object that we will use from now on. Normally a run 
will only contain one Pythia object. (But you can 
use several Pythia objects, which then will be 
independent of each other.)
       
By default all output from Pythia will be on the 
cout stream, but the list methods below do 
allow output to alternative streams or files. 

      3.  
 

       

    3.  
You next want to set up the character of the run. 
The pages under the "Setup Run Tasks" heading in the index 
describe all the options available (with some very few exceptions, 
found on the other pages). 
The default values and your modifications are stored in two databases, 
one for generic settings 
and one for particle data. 
Both of these are initialized with their default values by the 
Pythia constructor. The default values can then be 
changed, primarily by one of the two ways below, or by a combination 
of them. 
 

       
a) You can use the 

       
    pythia.readString(string); 

       
method repeatedly to do a change of a property at a time. 
The information in the string is case-insensitive, but upper- and 
lowercase can be combined for clarity. The rules are that
       
(i) if the first nonblank character of the string is a letter 
it is assumed to contain a setting, and is sent on to 
pythia.settings.readString(string);
       
(ii) if instead the string begins with a digit it is assumed to 
contain particle data updates, and so sent on to 
pythia.particleData.readString(string);
       
(iii) if none of the above, the string is assumed to be a comment, 
i.e. nothing will be done.
       
In the former two cases, a warning is issued whenever a string 
cannot be recognized (maybe because of a spelling mistake).
       
Some examples would be 

       
    pythia.readString("TimeShower:pTmin = 1.0"); 
    pythia.readString("111:mayDecay = false"); 

       
The readString(string) method is intended primarily for 
a few changes. It can also be useful if you want to construct a 
parser for input files that contain commands both to PYTHIA and to 
other libraries.
       
 

       
b) You can read in a file containing a list of those variables 
you want to see changed, with a 

       
    pythia.readFile(fileName); 

       
Each line in this file with be processes by the 
readString(string) method introduced above. You can thus 
freely mix comment lines and lines handed on to Settings 
or to ParticleData.
       
This approach is better suited for more extensive changes than a direct 
usage of readString(string), and can also avoid having to 
recompile and relink your main program between runs.
       
It is also possible to read input from an istream, by 
default cin, rather than from a file. This may be convenient 
if information is generated on-the-fly, within the same run. 
 

       
Changes are made sequentially in the order the commands are encountered 
during execution, meaning that if a parameter is changed several times 
it is the last one that counts. The two special 
Tune:ee and 
Tune:pp 
modes are expanded to change several settings in one go, but these obey 
the same ordering rules. 

       

      4.  
 

       

    4.  
Next comes the initialization stage, where all 
remaining details of the generation are to be specified. 
There is one standard method to use for this 
 

       
pythia.init();
       
with no arguments will read all relevant information from the 
Settings 
and ParticleData 
databases. Specifically the setup of incoming beams and energies 
is governed by the the beam parameters from the 
Beams 
group of variables. If you don't change any of those you will 
default to proton-proton collisions at 14 TeV, i.e. the nominal LHC 
values. 
 

       
A few alternative forms are available, where the arguments of the 
init(...) call can be used to set the beam parameters. 
These alternatives are now deprecated, and will be removed for 
PYTHIA 8.2. 
 

       
a) pythia.init( idA, idB, eCM);
       
lets you specify the identities and the CM energy of the two incoming 
beam particles, with A (B) assumed moving in the +z (-z) 
direction. 
 

       
b) pythia.init( idA, idB, eA, eB);
       
is similar, but the two beam energies can be different, so the 
collisions do not occur in the CM frame. If one of the beam energies 
is below the particle mass you obtain a fixed-target topology. 
 

       
c) pythia.init( idA, idB, pxA, pyA, pzA, pxB, pyB, pzB);
       
is similar, but here you provide the three-momenta 
(p_x, p_y, p_z) of the two incoming particles, 
to allow for arbitrary beam directions. 
 

       
d) pythia.init(fileName); 
       
assumes a file in the Les Houches 
Event File format is provided. 
 

       
e) pythia.init( LHAup*); 
       
assumes Les Houches Accord 
initialization and event information is available in an LHAup 
class object, and that a pointer to this object is handed in. 
 

       

    5.  
If you want to have a list of the generator and particle data used, 
either only what has been changed or everything, you can use 

       
    pythia.settings.listChanged(); 
    pythia.settings.listAll(); 
    pythia.particleData.listChanged(); 
    pythia.particleData.listAll(); 

       

      6.  
 

     
 

    The event loop
     
 

       
 

    1.  
Inside the event generation loop you generate the 
next event using the next() method, 

       
    pythia.next(); 

       
This method takes no arguments; everything has already been specified. 
It does return a bool value, however, false when the 
generation failed. This can be a "programmed death" when the 
supply of input parton-level configurations on file is exhausted. 
It can alternatively signal a failure of Pythia to 
generate an event, or unphysical features in the event record at the 
end of the generation step. It makes sense to allow a few false 
values before a run is aborted, so long as the related faulty 
events are skipped. 

      2.  
  

       

    2.  
The generated event is now stored in the event 
object, of type Event, 
which is a public member of pythia. You therefore have 
access to all the tools described on the pages under the "Study Output" 
header in the index. For instance, an event can be listed with 
pythia.event.list(), the identity of the i'th 
particle is given by 
pythia.event[i].id(), and so on.
       
The hard process - roughly the information normally stored in the 
Les Houches Accord event record - is available as a second object, 
process, also of type Event.
       
A third useful public object is 
info, which offers 
a set of one-of-a kind pieces of information about the most recent 
event. 

      3.  
 

     
 

    Finishing
     
 

       
 

    1. At the end of the generation process, you can call 

       
    pythia.stat(); 

       
to get some run statistics, on cross sections and the number of errors 
and warnings encountered. The alternative 
pythia.statistics(...); is equivalent but deprecated. 

      2.  
 

     
 

    Advanced usage, mainly for initialization
     
 
A) Necessary data are automatically loaded when you use the 
default PYTHIA installation directory structure and run the main 
programs in the examples subdirectory. However, in the 
general case, you must provide the path of the xmldoc 
directory, where default settings and particle data are found. 
This can be done in two ways. 
 

       
 

    1.  
You can set the environment variable PYTHIA8DATA to 
contain the location of the xmldoc directory. In the 
csh and tcsh shells this could e.g. be 

       
     setenv PYTHIA8DATA /home/myname/pythia81xx/xmldoc 

       
while in other shells it could be 

       
     export PYTHIA8DATA=/home/myname/pythia81xx/xmldoc 

       
where xx is the subversion number.
       
Recall that environment variables set locally are only defined in the 
current instance of the shell. The above lines should go into your 
.cshrc and .bashrc files, respectively, 
if you want a more permanent assignment. 

      2.  
 

       

    2.  
You can provide the path as argument to the Pythia 
constructor, e.g. 

       
     Pythia pythia("/home/myname/pythia81xx/xmldoc"); 

       

      3.  

     
where again xx is the subversion number.
     
When PYTHIA8DATA is set it takes precedence, else 
the path in the constructor is used, else one defaults to the 
../xmldoc directory. 
 

     
B) You can override the default behaviour of PYTHIA not only by the 
settings and particle data, but also by replacing some of the 
PYTHIA standard routines by ones of your own. Of course, this is only 
possible if your routines fit into the general PYTHIA framework. 
Therefore they must be coded according to the the rules relevant 
in each case, as a derived class of a PYTHIA base class, and a pointer 
to such an object must be handed in by one of the methods below. 
These calls must be made before the pythia.init(...) call. 
 

       
 

    1.  
If you are not satisfied with the list of parton density functions that 
are implemented internally or available via the LHAPDF interface 
(see the PDF Selection page), you 
can supply your own by a call to the setPDFPtr(...) method 

       
      pythia.setPDFptr( pdfAPtr, pdfBPtr); 

       
where pdfAPtr and pdfBPtr are pointers to 
two Pythia PDF 
objects. Note that pdfAPtr and pdfBPtr 
cannot point to the same object; even if the PDF set is the same, 
two copies are needed to keep track of two separate sets of x 
and density values.
       
If you further wish to use separate PDF's for the hard process of an 
event than the ones being used for everything else, the extended form 

       
      pythia.setPDFptr( pdfAPtr, pdfBPtr, pdfHardAPtr, pdfHardBPtr); 

       
allows you to specify those separately, and then the first two sets 
would only be used for the showers and for multiparton interactions. 

      2.  
 

       

    2.  
If you want to link to an external generator that feeds in events 
in the LHA format, you can call the setLHAupPtr(...) 
method 

       
      pythia.setLHAupPtr( lhaUpPtr); 

       
where the  lhaUpPtr derives from the 
LHAup base class. 

      3.  
 

       

    3.  
If you want to perform some particle decays with an 
external generator, you can call the setDecayPtr(...) 
method 

       
      pythia.setDecayPtr( decayHandlePtr, particles); 

       
where the decayHandlePtr derives from the 
DecayHandler base 
class and particles is a vector of particle codes to be 
handled. 

      4.  
 

       

    4.  
If you want to use an external random number generator, 
you can call the setRndmEnginePtr(...) method 

       
      pythia.setRndmEnginePtr( rndmEnginePtr); 

       
where rndmEnginePtr derives from the 
RndmEngine base class. 
The Pythia default random number generator is perfectly 
good, so this is only intended for consistency in bigger frameworks. 

      5.  
 

       

    5.  
If you want to interrupt the evolution at various stages, 
to interrogate the event and possibly veto it, or you want to 
reweight the cross section, you can use 

       
      pythia.setUserHooksPtr( userHooksPtr); 

       
where userHooksPtr derives from the 
UserHooks base class. 

      6.  
 

       

    6.  
If you want to use your own merging scale definition for 
matrix element + parton shower merging, you can call 

       
      pythia.setMergingHooksPtr( mergingHooksPtr); 

       
where mergingHooksPtr derives from the 
MergingHooks base class. 

      7.  
 

       

    7.  
If you want to use your own parametrization of beam momentum spread and 
interaction vertex, rather than the provided simple Gaussian 
parametrization (off by default), you can call 

       
      pythia.setBeamShapePtr( beamShapePtr); 

       
where beamShapePtr derives from the 
BeamShape base class. 

      8.  
 

       

    8.  
If you want to implement a cross section of your own, but still make use 
of the built-in phase space selection machinery, you can use 

       
      pythia.setSigmaPtr( sigmaPtr); 

       
where sigmaPtr of type SigmaProcess* is an 
instance of a class derived from one of the Sigma1Process, 
Sigma2Process and  Sigma3Process base classes 
in their turn derived from 
SigmaProcess. 
This call can be used repeatedly to hand in several different processes. 

      9.  
 

       

    9.  
If your cross section contains the production of a new resonance 
with known analytical expression for all the relevant partial widths, 
you can make this resonance available to the program with 

       
      pythia.setResonancePtr( resonancePtr); 

       
where resonancePtr of type ResonanceWidths* 
is an instance of a class derived from the 
ResonanceWidths 
base class. In addition you need to add the particle to the normal 
particle and decay database. 
This procedure can be used repeatedly to hand in several different 
resonances. 

      10.  
 

       

    10.  
If you are a real expert and want to replace 
the PYTHIA initial- and final-state showers, you can use 

       
      pythia.setShowerPtr( timesDecPtr, timesPtr, spacePtr); 

       
where timesDecPtr and timesPtr 
derive from the TimeShower base class, and 
spacePtr from SpaceShower. 

      11.  
 

     
 

     
C) Some comments on collecting several tasks in the same run. 

       
 

    1.  
PYTHIA has not been written for threadsafe execution on multicore 
processors. If you want to use all cores, 
the most efficient way presumably is to start correspondingly many jobs, 
with different random number seeds, and add the statistics at the end. 
However, note that several instances  can be set up in the same main 
program, since instances are completely independent of each other, 
so each instance could be run inside a separate thread. 

      2.  
 

       

    2.  
In some cases it is convenient to use more than one Pythia 
object. The key example would be the simultaneous generation of signal 
and pileup events, see main19.cc. The two objects are then 
set up and initialized separately, and generate events completely 
independently of each other. It is only afterwards that the event records 
are combined into one single super-event per beam crossing. 

      3.  
 

       

    3.  
When time is not an issue, it may be that you want to perform several 
separate subruns sequentially inside a run, e.g. to combine results for 
several kinematical regions or to compare results for some different 
tunes of the underlying event. One way to go is to create (and destroy) 
one pythia object for each subrun, in which case they are 
completely separate. You can also use the same pythia object, 
only doing a new init(...) call for each subrun. In that 
case, the settings and particle databases remain as they were in the 
previous subrun, only affected by the specific changes you introduced in 
the meantime. You can put those changes in the main program, with 
pythia.readString(string), using your own logic to decide 
which ones to execute in which subrun. A corresponding possibility 
exists with pythia.readFile(fileName, subrun) (or an 
istream instead of a fileName), which as second 
argument can take a non-negative subrun number. Then only those 
sections of the file before any Main:subrun = ... line 
or with matching subrun number will be read. That is, the 
file could have a structure like 

       
    ( lines always read, i.e. "default values" always (re)set ) 
    Main:subrun = 1 
    ( lines only read with readFile(fileName, 1) ) 
    Main:subrun = 2 
    ( lines only read with readFile(fileName, 2) ) 

       
Both of these possibilities are illustrated in main08.cc. 

      4.  
 

       

    4.  
When working with Les Houches Event Files, it may well be that your 
intended input event sample is spread over several files, that you all 
want to turn into complete events in one and the same run. There is no 
problem with looping over several subruns, where each new subrun 
is initialized with a new file, with name set in Beams:LHEF. 
However, in that case you will do a complete re-initialization each time 
around. If you want to avoid this, note that the flag 
Beams:newLHEFsameInit = true can be set for the second and 
subsequent subruns. Then the new file will be simulated with the same 
initialization data as already set in a previous 
pythia.init() call. The burden rests on you to ensure 
that this is indeed correct, e.g. that the two event samples have not 
been generated for different beam energies. Also note that cross 
sections for processes will be based on the information in the 
first-read file, when the full initialization is performed. 

      5.  
 

     
 

    The Pythia Class
     
 
Here follows the complete survey of all public Pythia 
methods and data members. 
 

    Constructor and destructor
     
 
 
creates an instance of the Pythia event generators, 
and sets initial default values, notably for all settings and 
particle data. You may use several Pythia instances 
in the same run; only when you want to access external static 
libraries could this cause problems. (This includes in particular 
Fortran libraries such as LHAPDF.) 
allows you to choose 
from which directory the default settings and particle data values 
are read in. If the PYTHIA8DATA environment variable 
has been set it takes precedence. Else this optional argument allows 
you to choose another directory location than the default one. Note 
that it is only the directory location you can change, its contents 
must be the ones of the xmldoc directory in the 
standard distribution. 
 
 can be set 
false to stop the program from printing a banner. 
The banner contains useful information, so this option is only 
intended for runs with multiple Pythia instances, 
where output needs to be restricted. 
 
 
 
 
the destructor deletes the objects created by the constructor. 
 

    Set up run
     
 
 
reads in a single string, that is interpreted as an instruction to 
modify the value of a setting or 
particle data, as already described 
above. 
 
the string to be interpreted as an instruction. 
 
 
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. 
 
Note: the method returns false if it fails to 
make sense out of the string. 
 
 
 
 
 
 
 
 
 
reads in a whole file, where each line is interpreted as an instruction 
to modify the value of a setting or 
particle data, cf. the above 
readString method. All four forms of the 
readFile command share code for actually reading a file. 
 
the file from which instructions are read. 
 
 
an istream from which instructions are read. 
 
 
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. In the 
command forms where warn is omitted it is true. 
 
 
allows you have several optional sets of commands within the same file. 
Only those sections of the file before any Main:subrun = ... 
line or following such a line with matching subrun number will be read. 
The subrun number should not be negative; negative codes like 
SUBRUNDEFAULT corresponds to no specific subrun. 
 
Note: the method returns false if it fails to 
make sense out of any one line. 
 
 
 
offers the possibility to link in external PDF sets for usage inside 
the program. The rules for constructing your own class from 
the PDF base class are described 
here. 
 
pointers to two PDF-derived objects, one for each of 
the incoming beams. The two objects have to be instantiated by you 
in your program. Even if the two beam particles are the same 
(protons, say) two separate instances are required, since current 
information is cached in the objects. If both arguments are zero 
then any previous linkage to external PDF's is disconnected, 
see further Note 2 below. 
 
 
pointers to two further PDF-derived objects, one for each 
of the incoming beams. Normally only the first two arguments above would 
be used, and then the same PDF sets would be invoked everywhere. If you 
provide these two further pointers then two different sets of PDF's are 
used. This second set is then exclusively for the generation of the hard 
process from the process matrix elements library. The first set above 
is for everything else, notably parton showers and multiparton interactions. 
 
Note 1: The method returns false if the input is obviously 
incorrect, e.g. if two (nonzero) pointers agree. 
Note 2: If you want to combine several subruns you can 
call setPDFPtr with new arguments before each 
Pythia::init(...) call. To revert from external PDF's 
to the normal internal PDF selection you must call 
setPDFPtr(0, 0) before Pythia::init(...). 
 
 
 
offers linkage to an external generator that feeds in events 
in the LHA format, see 
Les Houches Accord, 
assuming that 
Beams:frameType = 5 
has been set. 
 
pointer to a LHAup-derived object. 
 
Note: The method currently always returns true. 
 
 
 
offers the possibility to link to an external program that can do some 
of the particle decays, instead of using the internal decay machinery. 
With particles we here mean the normal hadrons and leptons, not 
top quarks, electroweak bosons or new particles in BSM scenarios. 
The rules for constructing your own class from the 
DecayHandler base class are described 
here. Note that you can only 
provide one external object, but this object in its turn could 
very well hand on different particles to separate decay libraries. 
 
pointer to a DecayHandler-derived object. This object 
must be instantiated by you in your program. 
 
 vector with the PDG identity codes 
of the particles that should be handled by the external decay package. 
You should only give the particle (positive) codes; the respective 
antiparticle is always included as well. 
 
Note: The method currently always returns true. 
 
 
 
offers the possibility to link to an external random number generator. 
The rules for constructing your own class from the 
RndmEngine base class are described 
here. 
 
pointer to a RndmEngine-derived object. This object 
must be instantiated by you in your program. 
 
Note: The method returns true if the pointer is different 
from 0. 
 
 
 
offers the possibility to interact with the generation process at 
a few different specified points, e.g. to reject undesirable events 
at an early stage to save computer time. The rules for constructing 
your own class from the UserHooks base class are described 
here. You can only hand in one such 
pointer, but this may be to a class that implements several of the 
different allowed possibilities. 
 
pointer to a userHooks-derived object. This object 
must be instantiated by you in your program. 
 
Note: The method currently always returns true. 
 
 
 
offers the possibility to provide your own shape of the momentum and 
space-time spread of the incoming beams. The rules for constructing 
your own class from the BeamShape base class are described 
here. 
 
pointer to a BeamShape-derived object. This object 
must be instantiated by you in your program. 
 
Note: The method currently always returns true. 
 
 
 
offers the possibility to link your own implementation of a process 
and its cross section, to make it a part of the normal process 
generation machinery, without having to recompile the 
Pythia library itself.  The rules for constructing your 
own class from the SigmaProcess base class are described 
here. You may call this 
routine repeatedly, to add as many new processes as you wish. 
 
pointer to a SigmaProcess-derived object. This object 
must be instantiated by you in your program. 
 
Note: The method currently always returns true. 
 
 
 
offers the possibility to link your own implementation of the 
calculation of partial resonance widths, to make it a part of the 
normal process generation machinery, without having to recompile the 
Pythia library itself.  This allows the decay of new 
resonances to be handled internally, when combined with new particle 
data. Note that the decay of normal hadrons cannot be modeled here; 
this is for New Physics resonances. The rules for constructing your 
own class from the ResonanceWidths base class are described 
here. You may call this 
routine repeatedly, to add as many new resonances as you wish. 
 
pointer to a ResonanceWidths-derived object. This object 
must be instantiated by you in your program. 
 
Note: The method currently always returns true. 
 
 
 
offers the possibility to link your own parton shower routines as 
replacements for the default ones. This is much more complicated 
since the showers are so central and are so interlinked with other 
parts of the program. Therefore it is also possible to do the 
replacement in stages, from the more independent to the more 
intertwined. The rules for constructing your own classes from the 
TimeShower and SpaceShowerbase classes 
are described here. These 
objects must be instantiated by you in your program. 
 
pointer to a TimeShower-derived object for doing 
timelike shower evolution in resonance decays, e.g. of a 
Z^0. This is decoupled from beam remnants and parton 
distributions, and is therefore the simplest kind of shower 
to write. If you provide a value 0 then the internal shower 
routine will be used. 
 
 
pointer to a TimeShower-derived object for doing 
all other timelike shower evolution, which is normally interleaved 
with multiparton interactions and spacelike showers, introducing 
both further physics and further technical issues. If you retain 
the default value 0 then the internal shower routine will be used. 
You are allowed to use the same pointer as above for the 
timesDecPtr if the same shower can fulfill both tasks. 
 
 
pointer to a SpaceShower-derived object for doing 
all spacelike shower evolution, which is normally interleaved 
with multiparton interactions and timelike showers. If you retain 
the default value 0 then the internal shower routine will be used. 
 
Note: The method currently always returns true. 
 
 

    Initialize
     
 
At the initialization stage all the information provided above is 
processed, and the stage is set up for the subsequent generation 
of events. Currently several alternative forms of the init 
method are available for this stage, but only the first one is 
recommended. 
 
 
initialize for collisions, in any of the five separate possibilities 
below. In this option the beams are not specified by input arguments, 
but instead by the settings in the 
Beam Parameters section. 
This allows the beams to be specified in the same file as other 
run instructions. The default settings give pp collisions at 14 TeV. 
Note: The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
 
 
 
initialize for collisions in the center-of-mass frame, with the 
beams moving in the +-z directions. 
 
particle identity code for the two incoming beams. 
 
 
the CM energy of the collisions. 
 
Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
 
 
 
initialize for collisions with back-to-back beams, 
moving in the +-z directions, but with different energies. 
 
particle identity code for the two incoming beams. 
 
 
the energies of the two beams. If an energy is set to be below 
the mass of the respective beam particle that particle is taken to 
be at rest. This offers a simple possibility to simulate 
fixed-target collisions. 
 
Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
 
 
 
initialize for collisions with arbitrary beam directions. 
 
particle identity code for the two incoming beams. 
 
 
the three-momentum vector (p_x, p_y, p_z) of the first 
incoming beam. 
 
 
the three-momentum vector (p_x, p_y, p_z) of the second 
incoming beam. 
 
Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
 
 
 
initialize for hard-process collisions fed in from an external file 
with events, written according to the 
Les Houches Event File 
standard. 
 
the file name (including path, where required) where the 
events are stored, including relevant information on beam 
identities and energies. 
 
 
By default this method does a complete reinitialization of the 
generation process. If you set this argument to true then 
no reinitialization will occur, only the pointer to the event 
file is updated. This may come in handy if the full event sample 
is split across several files generated under the same conditions 
(except random numbers, of course). You then do the first 
initialization with the default, and all subsequent ones with 
true. Note that things may go wrong if the files are not created 
under the same conditions. 
 
Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
 
 
 
initialize for hard-process collisions fed in from an external 
source of events, consistent with the Les Houches Accord standard. 
The rules for constructing your own class from the LHAup 
base class are described here. 
This class is also required to provide the beam parameters. 
 
pointer to a LHAup-derived object. This object 
must be instantiated by you in your program. 
 
Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
 
 

    Generate events
     
 
The next() method is the main one to generate events. 
In this section we also put a few other specialized methods that 
may be useful in some circumstances. 
 
 
generate the next event. No input parameters are required; all 
instructions have already been set up in the initialization stage. 
Note: The method returns false if the event generation 
fails. The event record is then not consistent and should not be 
studied. When reading in hard collisions from a Les Houches Event File 
the problem may be that the end of the file has been reached. This 
can be checked with the 
Info::atEndOfFile() 
method. 
 
 
 
perform a final-state shower evolution on partons in the 
event event record. This could be used for externally 
provided simple events, or even parts of events, for which 
a complete generation is not foreseen. Since the mother source of 
the parton system is not known, one cannot expect as good accuracy 
as in a normal generation. When two different timelike shower 
instances are set up, it is the one used for showering in resonance 
decays that is used here. The forceTimeShower method 
can be used in conjunction with the forceHadronLevel 
one below. Further comments are found 
here. 
 the first and last entry of the event 
record to be affected by the call. 
 
 the maximum pT scale of emissions. 
Additionally, as always, the scale variable of each parton 
sets the maximum pT scale of branchings of this parton. 
Recall that this scale defaults to 0 if not set, so that no radiation 
can occur. 
 
 when positive, it sets the 
maximum number of branchings that are allowed to occur in the shower, 
i.e. the shower may stop evolving before reaching the lower cutoff. 
The argument has no effect when zero or negative, i.e. then the shower 
will continue to the lower cutoff. 
 
Note: The method returns the number of branchings that 
has been generated. 
 
 
 
hadronize the existing event record, i.e. perform string fragmentation 
and particle decays. There are two main applications. Firstly, 
you can use the same parton-level content as a basis for repeated 
hadronization attempts, in schemes intended to save computer time. 
Secondly, you may have an external program that can simulate the full 
partonic level of the event - hard process, parton showers, multiparton 
interactions, beam remnants, colour flow, and so on - but not 
hadronization. Further details are found 
here. 
 
normally this routine will search through the event record and try to 
figure out if any colour junctions are present. If so, the colour 
topology of such junctions must be sorted out. In tricky cases this 
might fail, and then hadronization will not work. A user who is 
aware of this and knows the intended colour flow can set up the 
junction information (if any) in the event record, and then call 
forceHadronLevel(false) so as not to have this information 
overwritten. (If the event record contains no unhadronized partons 
then no junction search will be performed in any case.) 
 
Note: The method returns false if the hadronization 
fails. The event record is then not consistent and should not be 
studied. 
 
 
 
perform decays of all particles in the event record that have not been 
decayed but should have been done so. This can be used e.g. for 
repeated decay attempts, in schemes intended to save computer time. 
Further details are found here. 
Note: The method returns false if the decays fail. The 
event record is then not consistent and should not be studied. 
 
 
 
perform decays of R-hadrons that were previously considered stable. 
This could be if an R-hadron is sufficiently long-lived that 
it may interact in the detector between production and decay, so that 
its four-momentum is changed. Further details are found 
here. 
Note: The method returns false if the decays fail. The 
event record is then not consistent and should not be studied. 
 
 
 
list the Les Houches Accord information on the current event, see 
LHAup::listEvent(...). 
(Other listings are available via the class members below, so this 
listing is a special case that would not fit elsewhere.) 
 
output stream where the listing occurs. 
 
 
 
 
skip ahead a number of events in the Les Houches generation 
sequence, without doing anything further with them, see 
LHAup::skipEvent(nSkip). 
Mainly intended for debug purposes, e.g. when an event at a known 
location in a Les Houches Event File is causing problems. 
 
number of events to skip. 
 
Note: The method returns false if the operation fails, 
specifically if the end of a LHEF has been reached, cf. 
next() above. 
 
 

    Finalize
     
 
There is no required finalization step; you can stop generating events 
when and how you want. It is still recommended that you make it a 
routine to call the following method at the end. A second method provides 
a deprecated alternative. 
 
 
list statistics on the event generation, specifically total and partial 
cross sections and the number of different errors. For more details see 
here and for available options 
here. 
 
 
 
list statistics on the event generation, specifically total and partial 
cross sections and the number of different errors. For more details see 
here. 
 
if true also statistics on multiparton interactions is shown, by default not. 
 
 if true then all counters, 
e.g on events generated and errors experienced, are reset to zero 
 whenever the routine is called. The default instead is that 
all stored statistics information is unaffected by the call. Counters 
are automatically reset in each new Pythia::init(...) 
call, however, so the only time the reset option makes a 
difference is if statistics(...) is called several times 
in a (sub)run. 
 
Note: Deprecated. 
 
 

    Interrogate settings
     
 
Normally settings are used in the setup and initialization stages 
to determine the character of a run, e.g. read from a file with the 
above-described Pythia::readFile(...) method. 
There is no strict need for a user to interact with the 
Settings database in any other way. However, as an option, 
some settings variables have been left free for the user to set in 
such a file, and then use in the main program to directly affect the 
performance of that program, see 
here. A typical example would 
be the number of events to generate. For such applications the 
following shortcuts to some Settings methods may be 
convenient. 
 
 
read in a boolean variable from the Settings database. 
 
the name of the variable to be read. 
 
 
  
 
read in an integer variable from the Settings database. 
 
the name of the variable to be read. 
 
 
  
 
read in a double-precision variable from the Settings 
database. 
 
the name of the variable to be read. 
 
 
  
 
read in a string variable from the Settings database. 
 
the name of the variable to be read. 
 
 
   

    Get a PDF set
     
 
Pythia contains an number of parton density sets 
internally, plus an interface to LHAPDF. With the method below, 
this machinery is also made available for external usage. 
  
 
get a pointer to a PDF object. Which PDF is returned depends on the 
PDF Selection settings. 
 
the identity code of the incoming particle. 
 
 
should normally be 1, but 2 can be used for protons to let the PDF 
selection be determined by the special settings for hard processes 
(PDF:useHard etc.). 
 
 
   

    Data members
     
 
The Pythia class contains a few public data members, 
several of which play a central role. We list them here, with 
links to the places where they are further described. 
  
 
the hard-process event record, see here 
for further details. 
 
  
 
the complete event record, see here 
for further details. 
 
  
 
further information on the event-generation process, see 
here for further details. 
 
  
 
the settings database, see here 
for further details. 
 
  
 
the particle properties and decay tables database, see 
here for further details. 
 
  
 
the random number generator, see here 
and here for further details. 
 
  
 
Standard Model couplings and mixing matrices, see 
here for further details. 
 
  
 
parameters and particle data in the context of supersymmetric models, 
see here for further details. 
 
  
 
a grouping of the partons in the event record by subsystem, 
see here for further details. 
 
    
     
 
 
pythia8-8.1.86.orig/xmldoc/CouplingsAndScales.xml0000444000175000017500000003073312357055014020076 0ustar  sunsun 
 

    Couplings and Scales
     
 
Here is collected some possibilities to modify the scale choices 
of couplings and parton densities for all internally implemented 
hard processes. This is based on them all being derived from the 
SigmaProcess base class. The matrix-element coding is 
also used by the multiparton-interactions machinery, but there with a 
separate choice of alpha_strong(M_Z^2) value and running, 
and separate PDF scale choices. Also, in 2 → 2 and 
2 → 3 processes where resonances are produced, their 
couplings and thereby their Breit-Wigner shapes are always evaluated 
with the resonance mass as scale, irrespective of the choices below. 
 

    Couplings and K factor
     
 
The size of QCD cross sections is mainly determined by 
 
The alpha_strong value at scale M_Z^2. 
 
 

     
The actual value is then regulated by the running to the Q^2 
renormalization scale, at which alpha_strong is evaluated 
 
Order at which alpha_strong runs, 
 
 
 
 
 

     
QED interactions are regulated by the alpha_electromagnetic 
value at the Q^2 renormalization scale of an interaction. 
 
The running of alpha_em used in hard processes. 
 
 
 
 
 

     
In addition there is the possibility of a global rescaling of 
cross sections (which could not easily be accommodated by a 
changed alpha_strong, since alpha_strong runs) 
 
Multiply almost all cross sections by this common fix factor. Excluded 
are only unresolved processes, where cross sections are better 
set directly, and 
multiparton interactions, which have a separate K factor 
of their own. 
This degree of freedom is primarily intended for hadron colliders, and 
should not normally be used for e^+e^- annihilation processes. 
 
 

    Renormalization scales
     
 
The Q^2 renormalization scale can be chosen among a few different 
alternatives, separately for 2 → 1, 2 → 2 and two 
different kinds of 2 → 3 processes. In addition a common 
multiplicative factor may be imposed. 
  
 
The Q^2 renormalization scale for 2 → 1 processes. 
The same options also apply for those 2 → 2 and 
2 → 3 processes that have been specially marked as 
proceeding only through an s-channel resonance, by the 
isSChannel() virtual method of SigmaProcess. 
 
 
 
   
 
The Q^2 renormalization scale for 2 → 2 processes. 
 
 
 
 
 
 
   
 
The Q^2 renormalization scale for "normal" 2 → 3 
processes, i.e excepting the vector-boson-fusion processes below. 
Here it is assumed that particle masses in the final state either match 
or are heavier than that of any t-channel propagator particle. 
(Currently only g g / q qbar → H^0 Q Qbar processes are 
implemented, where the "match" criterion holds.) 
 
 
 
 
 
 
 
  
 
The Q^2 renormalization scale for 2 → 3 
vector-boson-fusion processes, i.e. f_1 f_2 → H^0 f_3 f_4 
with Z^0 or W^+-  t-channel propagators. 
Here the transverse masses of the outgoing fermions do not reflect the 
virtualities of the exchanged bosons. A better estimate is obtained 
by replacing the final-state fermion masses by the vector-boson ones 
in the definition of transverse masses. We denote these combinations 
mT_Vi^2 = m_V^2 + pT_i^2. 
 
 
 
 
 
 
 
 
 
The Q^2 renormalization scale for 2 → 1, 
2 → 2 and 2 → 3 processes is multiplied by 
this factor relative to the scale described above (except for the options 
with a fix scale). Should be use sparingly for 2 → 1 processes. 
 
 
 
A fix Q^2 value used as renormalization scale for 
2 → 1, 2 → 2 and 2 → 3 processes 
in some of the options above. 
 
 

    Factorization scales
     
 
Corresponding options exist for the Q^2 factorization scale 
used as argument in PDF's. Again there is a choice of form for 
2 → 1, 2 → 2 and 2 → 3 processes 
separately. For simplicity we have let the numbering of options agree, 
for each event class separately, between normalization and factorization 
scales, and the description has therefore been slightly shortened. The 
default values are not necessarily the same, however. 
  
 
The Q^2 factorization scale for 2 → 1 processes. 
The same options also apply for those 2 → 2 and 
2 → 3 processes that have been specially marked as 
proceeding only through an s-channel resonance. 
 
 
 
 
 
The Q^2 factorization scale for 2 → 2 processes. 
 
 
 
 
 
 
   
 
The Q^2 factorization scale for "normal" 2 → 3 
processes, i.e excepting the vector-boson-fusion processes below. 
 
 
 
 
 
 
 
  
 
The Q^2 factorization scale for 2 → 3 
vector-boson-fusion processes, i.e. f_1 f_2 → H^0 f_3 f_4 
with Z^0 or W^+-  t-channel propagators. 
Here we again introduce the combinations mT_Vi^2 = m_V^2 + pT_i^2 
as replacements for the normal squared transverse masses of the two 
outgoing quarks. 
 
 
 
 
 
 
 
 
 
The Q^2 factorization scale for 2 → 1, 
2 → 2 and 2 → 3 processes is multiplied by 
this factor relative to the scale described above (except for the options 
with a fix scale). Should be use sparingly for 2 → 1 processes. 
 
 
 
A fix Q^2 value used as factorization scale for 2 → 1, 
2 → 2 and 2 → 3 processes in some of the options 
above. 
 
 
     
 
 
pythia8-8.1.86.orig/xmldoc/ProgramMethods.xml0000444000175000017500000000107712357055027017313 0ustar  sunsun 
 

    Program Methods
     
 
This is an alphabetical index of all methods that are documented 
elsewhere on these pages, beginning with the few methods that 
do not belong to a class. Many of them are only intended for experts, 
while undocumented ones are only for code authors. 
 

     
The index is constructed dynamically from the methods described 
on the other webpages, as part of the conversion from xml to 
html and php. Therefore this xml page is only a dummy one. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/SaveSettings.xml0000444000175000017500000001237412357055027017001 0ustar  sunsun 
 

    Save Settings
     
 
The information on this webpage is only valid if you access the PHP 
dynamic webpages via a web browser, and does not apply to the static 
HTML equivalents. With PHP, all of the settings in the PYTHIA program 
are represented by radio buttons or fill-in boxes, that makes it easy 
for you to  construct a file with your desired changes. This file can 
then be read into PYTHIA by your main program to steer the whole run. 
 

    Basic instructions
     
 
The functionality of the PHP option is described in the following. 
 

     

     
 

     
 

       
 

    •  
To begin with, you must specify a (temporary) file name in the 
box above. If the filename already exists on the server, you will be 
requested to pick a new name.
      •  
 

    •  
Once you have Submitted your filename, you can browse through the 
pages and make your selections. The values currently selected when you 
load the page are the default values.
      •  
 

    •  
When you have finished making your changes to a particular page, 
you must click on Save Settings at the bottom of 
the page. This will write the changes to your temporary file. If you make 
a mistake, just repeat the procedure for that category again.
       
 

    •  
When you have finished all the changes you need, return to this page 
and click Finish File.
      •  
 

    •  
You will then get up a link, that you are asked to right-click 
with your mouse (or equivalent).
      •  
 

    •  
In the menu that appears, pick the option Save Link As 
(or equivalent).
      •  
 

    •  
You will now get up a file browser, for you to pick and Save 
the location and file name (the latter by default the same as the 
temporary file name).
      •  
 

    •  
At any time, if you click the RESET button, your temporary 
file will be erased and you can start anew.
      •  
 

    •  
Before you use a file, be sure to check it visually to confirm 
that you saved what you intended to. Minor corrections are easily made 
in a text editor. 

      •  
 

     
 

     

    Supplementary notes
     
 
 
The documentation files exist in three versions. 

       
 

    1.  
As a set of .xml files, in the xmldoc/ 
subdirectory. These are the master copies that no user ever should 
touch, but that are used to generate the variants below.
      2.  
 

    2.  
As a set of .html files, in the htmldoc/ 
subdirectory. You can open your own locally installed copy of the 
Welcome.html file in your web browser and thereafter 
navigate among all the pages. You can learn which parameters are free 
to be changed, but not change anything, except by brute-force 
cut-and-paste to a file of your own.
      3.  
 

    3.  
As a set of .php files, in the phpdoc/ 
subdirectory. For these files to provide the functionality described 
above they have to accessed via a webserver. The one where you have 
your homepage should work fine. Alternatively you can use pages already 
available on another server.
      4.  
 

     
 

     
A few further comments about the operation of the PHP option: 

       
 

    •  
To set up the PHP files on your webserver, you have to install the whole 
phpdoc/ subdirectory there. In addition to the 
.php code this includes a few more files, plus a 
subdirectory named files where the temporary files 
are stored. This subdirectory must have public write access to work 
(chmod a+w files if not).
      •  
 

    •  
The "temporary" files stored in files actually remain 
unless the RESET button is used. The good news is that this makes 
it possible to recover a file that otherwise might be lost. The bad 
news is that the files directory may need to be cleaned 
up from time to time. (But typically the files are pretty small, so 
this should not be a major problem.)
      •  
 

    •  
When you click the Save Settings button on the bottom of a page 
all changed settings are written on the temporary file in the format 

       
name-of-flag/mode/parameter/word = value 

       
with one variable per line. Thereafter all the settings on the page 
are restored to their default values.
      •  
 

    •  
You can return to a page to do some further changes and save those. 
If you change the same parameter twice, it is the last value that 
counts. (Both values are stored in the file, with the more recent 
lower down, and then PYTHIA does the changes sequentially.) However 
remember that unchanged values are not stored, so if you want to 
restore some default value it may be simpler to edit the file 
afterwards.
      •  
 

    •  
The changeable flags/modes/parameters/words are mainly in the 
"Setup Run Tasks" section of the index, but a few (less 
frequently used ones) can also be found lower down, in the 
"Study Output" and "Link to Other Programs" pages. 
 

    •  
It is not (yet) possible to modify particle data within the PHP-based 
setup approach. This is a more difficult task, since e.g. the 
modifications one may want to do in a decay table can be quite 
interrelated. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/BeamRemnants.xml0000444000175000017500000003551712357055014016736 0ustar  sunsun 
 

      Beam Remnants
       
 

      Introduction
       
 
The BeamParticle class contains information on all partons 
extracted from a beam (so far). As each consecutive multiparton interaction 
defines its respective incoming parton to the hard scattering a 
new slot is added to the list. This information is modified when 
the backwards evolution of the spacelike shower defines a new 
initiator parton. It is used, both for the multiparton interactions 
and the spacelike showers, to define rescaled parton densities based 
on the x and flavours already extracted, and to distinguish 
between valence, sea and companion quarks. Once the perturbative 
evolution is finished, further beam remnants are added to obtain a 
consistent set of flavours. The current physics framework is further 
described in Sjo04. 
 

       
The introduction of rescattering 
in the multiparton interactions framework further complicates the 
processing of events. Specifically, when combined with showers, 
the momentum of an individual parton is no longer uniquely associated 
with one single subcollision. Nevertheless the parton is classified 
with one system, owing to the technical and administrative complications 
of more complete classifications. Therefore the addition of primordial 
kT to the subsystem initiator partons does not automatically 
guarantee overall pT conservation. Various tricks are used to 
minimize the mismatch, with a brute force shift of all parton 
pT's as a final step. 
 

       
Much of the above information is stored in a vector of 
ResolvedParton objects, which each contains flavour and 
momentum information, as well as valence/companion information and more. 
The BeamParticle method list() shows the 
contents of this vector, mainly for debug purposes. 
 

       
The BeamRemnants class takes over for the final step 
of adding primordial kT to the initiators and remnants, 
assigning the relative longitudinal momentum sharing among the 
remnants, and constructing the overall kinematics and colour flow. 
This step couples the two sides of an event, and could therefore 
not be covered in the BeamParticle class, which only 
considers one beam at a time. 
 

       
The methods of these classes are not intended for general use, 
and so are not described here. 
 

       
In addition to the parameters described on this page, note that the 
choice of parton densities is made 
in the Pythia class. Then pointers to the pdf's are handed 
on to BeamParticle at initialization, for all subsequent 
usage. 
 

      Primordial kT
       
 
The primordial kT of initiators of hard-scattering subsystems 
are selected according to Gaussian distributions in p_x and 
p_y separately. The widths of these distributions are chosen 
to be dependent on the hard scale of the central process and on the mass 
of the whole subsystem defined by the two initiators: 
 
sigma = (sigma_soft * Q_half + sigma_hard * Q) / (Q_half + Q) 
  * m / (m_half + m) 
 
Here Q is the hard-process renormalization scale for the 
hardest process and the pT scale for subsequent multiparton 
interactions, m the mass of the system, and 
sigma_soft, sigma_hard, Q_half and 
m_half parameters defined below. Furthermore each separately 
defined beam remnant has a distribution of width sigma_remn, 
independently of kinematical variables. 
 
 
Allow or not selection of primordial kT according to the 
parameter values below. 
 
 
 
The width sigma_soft in the above equation, assigned as a 
primordial kT to initiators in the soft-interaction limit. 
 
 
 
The width sigma_hard in the above equation, assigned as a 
primordial kT to initiators in the hard-interaction limit. 
 
 
 
The scale Q_half in the equation above, defining the 
half-way point between hard and soft interactions. 
 
 
 
The scale m_half in the equation above, defining the 
half-way point between low-mass and high-mass subsystems. 
(Kinematics construction can easily fail if a system is assigned 
a primordial kT value higher than its mass, so the 
mass-dampening is intended to reduce some troubles later on.) 
 
 
 
The width sigma_remn, assigned as a primordial kT 
to beam-remnant partons. 
 
 

       
A net kT imbalance is obtained from the vector sum of the 
primordial kT values of all initiators and all beam remnants. 
This quantity is compensated by a shift shared equally between 
all partons, except that the dampening factor m / (m_half + m) 
is again used to suppress the role of small-mass systems. 
 

       
Note that the current sigma definition implies that 
<pT^2> = <p_x^2>+ <p_y^2> = 2 sigma^2. 
It thus cannot be compared directly with the sigma 
of nonperturbative hadronization, where each quark-antiquark 
breakup corresponds to <pT^2> = sigma^2 and only 
for hadrons it holds that <pT^2> = 2 sigma^2. 
The comparison is further complicated by the reduction of 
primordial kT values by the overall compensation mechanism. 
 
 
Is only relevant when rescattering 
is switched on in the multiparton interactions scenario. For a normal 
interaction the rapidity and mass of a system is preserved when 
primordial kT is introduced, by appropriate modification of the 
incoming parton momenta. Kinematics construction is more complicated for 
a rescattering, and two options are offered. Differences between these 
can be used to explore systematic uncertainties in the rescattering 
framework.
       
The default behaviour is to keep the incoming rescattered parton as is, 
but to modify the unrescattered incoming parton so as to preserve the 
invariant mass of the system. Thereby the rapidity of the rescattering 
is modified.
       
The alternative is to retain the rapidity (and mass) of the rescattered 
system when primordial kT is introduced. This is made at the 
expense of a modified longitudinal momentum of the incoming rescattered 
parton, so that it does not agree with the momentum it ought to have had 
by the kinematics of the previous interaction.
       
For a double rescattering, when both incoming partons have already scattered, 
there is no obvious way to retain the invariant mass of the system in the 
first approach, so the second is always used. 
       
 

      Colour flow
       
 
The colour flows in the separate subprocesses defined in the 
multiparton-interactions scenario are tied together via the assignment 
of colour flow in the beam remnant. This is not an unambiguous 
procedure, but currently no parameters are directly associated with it. 
However, a simple "minimal" procedure of colour flow only via the beam 
remnants does not result in a scenario in 
agreement with data, notably not a sufficiently steep rise of 
<pT>(n_ch). The true origin of this behaviour and the 
correct mechanism to reproduce it remains one of the big unsolved issues 
at the borderline between perturbative and nonperturbative QCD. 
As a simple attempt, an additional step is introduced, wherein the gluons 
of a lower-pT system are merged with the ones in a higher-pT one. 
 
 
Allow or not a system to be merged with another one. 
 
 
 
A system with a hard scale pT can be merged with one of a 
harder scale with a probability that is 
pT0_Rec^2 / (pT0_Rec^2 + pT^2), where 
pT0_Rec is reconnectRange times pT0, 
the latter being the same energy-dependent dampening parameter as 
used for multiparton interactions. 
Thus it is easy to merge a low-pT system with any other, 
but difficult to merge two high-pT ones with each other. 
 
 

       
The procedure is used iteratively. Thus first the reconnection probability 
P = pT0_Rec^2 / (pT0_Rec^2 + pT^2) of the lowest-pT 
system is found, and gives the probability for merger with the 
second-lowest one. If not merged, it is tested with the third-lowest one, 
and so on. For the m'th higher system the reconnection 
probability thus becomes (1 - P)^(m-1) P. That is, there is 
no explicit dependence on the higher pT scale, but implicitly 
there is via the survival probability of not already having been merged 
with a lower-pT system. Also note that the total reconnection 
probability for the lowest-pT system in an event with n 
systems becomes 1 - (1 - P)^(n-1). Once the fate of the 
lowest-pT system has been decided, the second-lowest is considered 
with respect to the ones above it, then the third-lowest, and so on. 
 

       
Once it has been decided which systems should be joined, the actual merging 
is carried out in the opposite direction. That is, first the hardest 
system is studied, and all colour dipoles in it are found (including to 
the beam remnants, as defined by the holes of the incoming partons). 
Next each softer system to be merged is studied in turn. Its gluons are, 
in decreasing pT order, inserted on the colour dipole i,j 
that gives the smallest (p_g p_i)(p_g p_j)/(p_i p_j), i.e. 
minimizes the "disturbance" on the existing dipole, in terms of 
pT^2 or Lambda measure (string length). The insertion 
of the gluon means that the old dipole is replaced by two new ones. 
Also the (rather few) quark-antiquark pairs that can be traced back to 
a gluon splitting are treated in close analogy with the gluon case. 
Quark lines that attach directly to the beam remnants cannot be merged 
but are left behind. 
 

       
The joining procedure can be viewed as a more sophisticated variant of 
the one introduced already in Sjo87. Clearly it is ad hoc. 
It hopefully captures some elements of truth. The lower pT scale 
a system has the larger its spatial extent and therefore the larger its 
overlap with other systems. It could be argued that one should classify 
individual initial-state partons by pT rather than the system 
as a whole. However, for final-state radiation, a soft gluon radiated off 
a hard parton is actually produced at late times and therefore probably 
less likely to reconnect. In the balance, a classification by system 
pT scale appears sensible as a first try. 
 

       
Note that the reconnection is carried out before resonance decays are 
considered. Colour inside a resonance therefore is not reconnected. 
This is a deliberate choice, but certainly open to discussion and 
extensions at a later stage, as is the rest of this procedure. 
 

      Further variables
       
 
 
The maximum valence quark kind allowed in acceptable incoming beams, 
for which multiparton interactions are simulated. Default is that hadrons 
may contain u, d and s quarks, 
but not c and b ones, since sensible 
kinematics has not really been worked out for the latter. 
 
 
 
When a sea quark has been found, a companion antisea quark ought to be 
nearby in x. The shape of this distribution can be derived 
from the gluon mother distribution convoluted with the 
g → q qbar splitting kernel. In practice, simple solutions 
are only feasible if the gluon shape is assumed to be of the form 
g(x) ~ (1 - x)^p / x, where p is an integer power, 
the parameter above. Allowed values correspond to the cases programmed. 

       
Since the whole framework is approximate anyway, this should be good 
enough. Note that companions typically are found at small Q^2, 
if at all, so the form is supposed to represent g(x) at small 
Q^2 scales, close to the lower cutoff for multiparton interactions. 
       
 

       
When assigning relative momentum fractions to beam-remnant partons, 
valence quarks are chosen according to a distribution like 
(1 - x)^power / sqrt(x). This power is given below 
for quarks in mesons, and separately for u and d 
quarks in the proton, based on the approximate shape of low-Q^2 
parton densities. The power for other baryons is derived from the 
proton ones, by an appropriate mixing. The x of a diquark 
is chosen as the sum of its two constituent x values, and can 
thus be above unity. (A common rescaling of all remnant partons and 
particles will fix that.) An additional enhancement of the diquark 
momentum is obtained by its x value being rescaled by the 
valenceDiqEnhance factor. 
 
 
The abovementioned power for valence quarks in mesons. 
 
 
 
The abovementioned power for valence u quarks in protons. 
 
 
 
The abovementioned power for valence d quarks in protons. 
 
 
 
Enhancement factor for valence diquarks in baryons, relative to the 
simple sum of the two constituent quarks. 
 
 
 
The off option is intended for debug purposes only, as 
follows. When more than one valence quark is kicked out of a baryon 
beam, as part of the multiparton interactions scenario, the subsequent 
hadronization is described in terms of a junction string topology. 
This description involves a number of technical complications that 
may make the program more unstable. As an alternative, by switching 
this option off, junction configurations are rejected (which gives 
an error message that the remnant flavour setup failed), and the 
multiparton interactions and showers are redone until a 
junction-free topology is found. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/TopProcesses.xml0000444000175000017500000000304012357055030016773 0ustar  sunsun 
 

      Top Processes
       
 
Different ways to produce top quarks, singly or in pairs. 
 
 
Common switch for the group of top production. 
 
 
 
Scatterings g g → t tbar. 
Code 601. 
 
 
 
Scatterings q qbar → t tbar by gluon exchange. 
Code 602. 
 
 
 
Scatterings q q' → t q'' by t-channel exchange 
of a W^+- boson. 
Code 603. 
 
 
 
Scatterings f fbar → t tbar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 604. 
 
 
 
Scatterings f fbar' → t q'' by s-channel exchange 
of a W^+- boson. 
Code 605. 
 
 
 
Scatterings gamma gamma → t tbar. 
Code 606. 
 
 

       
By default top always decays to a W and a down-type quark. 
It is possible to switch on the t → H+ b decay mode. 
Note that its partial width is calculated using the tan(beta) 
value stored in HiggsHchg:tanBeta, so that it can be used 
without having to read in a SUSY parameter file. For the H+ to 
decay also Higgs:useBSM = on is necessary. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/ct09mcs.pds0000444000175000017500000173566712357055015015651 0ustar  sunsunPDF Table for Fit #: cp6ls14                                                  
  Ordr, Nfl, lambda        Qmass 1,  2,  3,         4,  5,  6
   2.   5.  0.2268    0.001    0.001    0.200    1.400    4.750  172.000
   IPD0, IHDN, IKNL, NfMx, Nfval,  KF, Nelmt
     1     1     1     5     2    12   57300
   NX,  NT,  JT,  NG, NTL(NG+1)
  190   24    1    3   24
(NTL(I), NTN(I), TLN(I), DTN(I), I =1, NG)
    0    1  5.57275E-01  4.15705E-02
    1    6  5.98845E-01  8.55946E-02
    7   17  1.11241E+00  8.54274E-02
QINI, QMAX, (QV(I), TV(I), I =0, NT)
  1.30000E+00  1.00000E+05
  1.30000E+00  5.57275E-01
  1.40000E+00  5.98845E-01
  1.64727E+00  6.84440E-01
  1.96658E+00  7.70034E-01
  2.38526E+00  8.55629E-01
  2.94342E+00  9.41223E-01
  3.70108E+00  1.02682E+00
  4.75000E+00  1.11241E+00
  6.23021E+00  1.19784E+00
  8.37178E+00  1.28327E+00
  1.15499E+01  1.36869E+00
  1.63983E+01  1.45412E+00
  2.40214E+01  1.53955E+00
  3.64069E+01  1.62498E+00
  5.72629E+01  1.71040E+00
  9.37788E+01  1.79583E+00
  1.60488E+02  1.88126E+00
  2.88130E+02  1.96669E+00
  5.45004E+02  2.05211E+00
  1.09118E+03  2.13754E+00
  2.32426E+03  2.22297E+00
  5.29613E+03  2.30840E+00
  1.29876E+04  2.39382E+00
  3.45020E+04  2.47925E+00
  1.00000E+05  2.56468E+00
XMIN, XCR, (XV(I), I =1, NX)
  1.00000E-08  1.50000E+00
  1.00000E-08  1.17803E-08  1.38778E-08  1.63489E-08  1.92599E-08  2.26892E-08
  2.67291E-08  3.14884E-08  3.70950E-08  4.36999E-08  5.14807E-08  6.06469E-08
  7.14452E-08  8.41659E-08  9.91515E-08  1.16805E-07  1.37602E-07  1.62101E-07
  1.90962E-07  2.24961E-07  2.65013E-07  3.12195E-07  3.67777E-07  4.33253E-07
  5.10385E-07  6.01248E-07  7.08284E-07  8.34965E-07  9.83595E-07  1.15868E-06
  1.36492E-06  1.60787E-06  1.89406E-06  2.23117E-06  2.62841E-06  3.09641E-06
  3.64773E-06  4.29722E-06  5.06234E-06  5.96367E-06  7.02548E-06  8.27631E-06
  9.74982E-06  1.14856E-05  1.35304E-05  1.59392E-05  1.87766E-05  2.21191E-05
  2.60564E-05  3.06942E-05  3.61571E-05  4.25918E-05  5.01709E-05  5.90977E-05
  6.96115E-05  8.19937E-05  9.65758E-05  1.13747E-04  1.33967E-04  1.57774E-04
  1.85802E-04  2.18795E-04  2.57627E-04  3.03325E-04  3.57094E-04  4.20343E-04
  4.94725E-04  5.82239E-04  6.85007E-04  8.05733E-04  9.47515E-04  1.11390E-03
  1.30904E-03  1.53770E-03  1.80543E-03  2.11857E-03  2.48437E-03  2.91111E-03
  3.40814E-03  3.98598E-03  4.65639E-03  5.43234E-03  6.32831E-03  7.35986E-03
  8.54125E-03  9.89379E-03  1.14309E-02  1.31758E-02  1.51436E-02  1.73523E-02
  1.98189E-02  2.25606E-02  2.55851E-02  2.89092E-02  3.25397E-02  3.64826E-02
  4.07414E-02  4.53168E-02  5.02071E-02  5.54085E-02  6.09151E-02  6.67197E-02
  7.28133E-02  7.91861E-02  8.58274E-02  9.27257E-02  9.98695E-02  1.07243E-01
  1.14848E-01  1.22661E-01  1.30677E-01  1.38873E-01  1.47265E-01  1.55821E-01
  1.64539E-01  1.73408E-01  1.82435E-01  1.91589E-01  2.00875E-01  2.10284E-01
  2.19811E-01  2.29449E-01  2.39192E-01  2.49036E-01  2.58974E-01  2.69003E-01
  2.79118E-01  2.89315E-01  2.99590E-01  3.09940E-01  3.20361E-01  3.30848E-01
  3.41402E-01  3.52019E-01  3.62695E-01  3.73426E-01  3.84208E-01  3.95063E-01
  4.05950E-01  4.16887E-01  4.27870E-01  4.38898E-01  4.49969E-01  4.61082E-01
  4.72234E-01  4.83424E-01  4.94651E-01  5.05914E-01  5.17211E-01  5.28541E-01
  5.39903E-01  5.51296E-01  5.62718E-01  5.74170E-01  5.85653E-01  5.97163E-01
  6.08683E-01  6.20243E-01  6.31826E-01  6.43433E-01  6.55063E-01  6.66715E-01
  6.78389E-01  6.90084E-01  7.01799E-01  7.13535E-01  7.25289E-01  7.37063E-01
  7.48855E-01  7.60668E-01  7.72487E-01  7.84333E-01  7.96195E-01  8.08073E-01
  8.19966E-01  8.31874E-01  8.43797E-01  8.55734E-01  8.67686E-01  8.79651E-01
  8.91628E-01  9.03624E-01  9.15628E-01  9.27645E-01  9.39675E-01  9.51717E-01
  9.63770E-01  9.75836E-01  9.87912E-01  1.00000E+00
Parton Distribution Table:
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00  0.00000E+00
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  5.33473E+00  4.70502E+00  4.16408E+00  3.69673E+00  3.29078E+00  2.93634E+00
  2.62566E+00  2.35167E+00  2.10958E+00  1.89474E+00  1.70381E+00  1.53313E+00
  1.38062E+00  1.24392E+00  1.12121E+00  1.01070E+00  9.11292E-01  8.21629E-01
  7.40689E-01  6.67559E-01  6.01437E-01  5.41616E-01  4.87471E-01  4.38449E-01
  3.94055E-01  3.53850E-01  3.17442E-01  2.84476E-01  2.54636E-01  2.27634E-01
  2.03220E-01  1.81146E-01  1.61210E-01  1.43217E-01  1.26994E-01  1.12390E-01
  9.92284E-02  8.74230E-02  7.68306E-02  6.73425E-02  5.88587E-02  5.12881E-02
  4.45473E-02  3.85597E-02  3.32553E-02  2.85698E-02  2.44438E-02  2.08230E-02
  1.76570E-02  1.48997E-02  1.25081E-02  1.04432E-02  8.66894E-03  7.15199E-03
  5.86166E-03  4.77242E-03  3.85600E-03  3.09118E-03  2.45734E-03  1.93601E-03
  1.51066E-03  1.16664E-03  8.90994E-04  6.72358E-04  5.00829E-04  3.67849E-04
  2.66078E-04  1.89297E-04  1.32216E-04  9.05573E-05  6.06599E-05  3.96644E-05
  2.52546E-05  1.56145E-05  9.34713E-06  5.40121E-06  3.00453E-06  1.60604E-06
  8.25121E-07  4.09222E-07  1.97670E-07  9.43202E-08  4.48347E-08  2.09517E-08
  9.14017E-09  3.34989E-09  8.57738E-10  1.05347E-10  0.00000E+00  5.76875E+10
  4.64741E+10  3.71313E+10  2.96591E+10  2.36844E+10  1.89084E+10  1.50915E+10
  1.20419E+10  9.60587E+09  7.66057E+09  6.10751E+09  4.86793E+09  3.87883E+09
  3.08981E+09  2.46056E+09  1.95888E+09  1.55902E+09  1.24040E+09  9.86588E+08
  7.84467E+08  6.23554E+08  4.95488E+08  3.93595E+08  3.12551E+08  2.48110E+08
  1.96887E+08  1.56180E+08  1.23851E+08  9.80809E+07  7.77235E+07  6.15688E+07
  4.87537E+07  3.85913E+07  3.05354E+07  2.41518E+07  1.90937E+07  1.50886E+07
  1.19186E+07  9.41073E+06  7.42738E+06  5.85950E+06  4.62058E+06  3.64200E+06
  2.86938E+06  2.25964E+06  1.77865E+06  1.39939E+06  1.10048E+06  8.65002E+05
  6.79586E+05  5.33656E+05  4.18857E+05  3.28591E+05  2.57651E+05  2.01927E+05
  1.58176E+05  1.23844E+05  9.69160E+04  7.58067E+04  5.92671E+04  4.63148E+04
  3.61769E+04  2.82461E+04  2.20450E+04  1.71988E+04  1.34135E+04  1.04581E+04
  8.15206E+03  6.35229E+03  4.95039E+03  3.85783E+03  3.00652E+03  2.34355E+03
  1.82742E+03  1.42567E+03  1.11302E+03  8.69705E+02  6.80353E+02  5.32967E+02
  4.18213E+02  3.28823E+02  2.59145E+02  2.04787E+02  1.62328E+02  1.29113E+02
  1.03135E+02  8.27080E+01  6.66647E+01  5.39901E+01  4.39679E+01  3.60130E+01
  2.96749E+01  2.46001E+01  2.05267E+01  1.72341E+01  1.45608E+01  1.23782E+01
  1.05858E+01  9.10488E+00  7.87370E+00  6.84359E+00  5.97614E+00  5.24102E+00
  4.61413E+00  4.07632E+00  3.61229E+00  3.20977E+00  2.85883E+00  2.55168E+00
  2.28122E+00  2.04262E+00  1.83122E+00  1.64366E+00  1.47629E+00  1.32699E+00
  1.19340E+00  1.07370E+00  9.66086E-01  8.69467E-01  7.82476E-01  7.04094E-01
  6.33406E-01  5.69611E-01  5.12005E-01  4.59964E-01  4.12937E-01  3.70431E-01
  3.32012E-01  2.97288E-01  2.65909E-01  2.37562E-01  2.11962E-01  1.88862E-01
  1.68019E-01  1.49232E-01  1.32312E-01  1.17088E-01  1.03414E-01  9.11149E-02
  8.01079E-02  7.02538E-02  6.14467E-02  5.35899E-02  4.65952E-02  4.03818E-02
  3.48761E-02  3.00105E-02  2.57232E-02  2.19574E-02  1.86612E-02  1.57864E-02
  1.32892E-02  1.11291E-02  9.26899E-03  7.67507E-03  6.31602E-03  5.16323E-03
  4.19284E-03  3.37874E-03  2.70129E-03  2.14152E-03  1.68248E-03  1.30911E-03
  1.00806E-03  7.67603E-04  5.77498E-04  4.28844E-04  3.13986E-04  2.26388E-04
  1.60532E-04  1.11751E-04  7.62807E-05  5.09215E-05  3.31824E-05  2.10558E-05
  1.29758E-05  7.74407E-06  4.46336E-06  2.47836E-06  1.32405E-06  6.81186E-07
  3.39204E-07  1.65005E-07  7.94485E-08  3.80693E-08  1.78443E-08  7.75077E-09
  2.80816E-09  7.08814E-10  8.73364E-11  0.00000E+00
pythia8-8.1.86.orig/xmldoc/ErrorChecks.xml0000444000175000017500000001010612357055016016561 0ustar  sunsun 
 

      Error Checks
       
 
There is a few settings related to error checking during program 
execution. Many other checks are performed as well, but do not 
have any specific setting related to themselves. 
 
 
There are a few ways in which an event can be vetoed, the most 
common being a User Hooks test. 
Normally this will simply mean that the next parton-level 
configuration is selected inside the Pythia::next() 
routine, without any need for a user intervention. With this 
option switched on, however, Pythia::next() will 
return false. It is then up to the user to decide 
what to do next. 
 
 
 
Check the particle data tables for potential problems during 
initialization. This includes inconsistent use of charge in particle 
names, inconsistent setup of mass, mass range, width and lifetime, 
sum of branching ratios not unity (allowed but discouraged) or charge 
not conserved in a decay channel. Warnings should be viewed as reasons 
to check further, but need not indicate a true problem, and also not all 
problems may be caught. 
The pythia.particleData.checkTable(level) method, 
used for these checks, may also be called directly. 
 
 
 
The level of verbosity and checks of particle data, if switched on. 
 
 
 
 
 
 
 
 
When an event has been successfully generated, check that the 
final event record in event does not contain any 
unphysical particles, or nonconserved charge or energy-momentum. 
If this check fails, then pythia.next() obtains the 
value false, i.e. the event is counted as aborted. 
 
 
 
When Check:event = on and the event is checked as above, 
further checks are made that all mother and daughter pointers are 
consistently set. Specifically that all daughters in the 
daughterlist (or motherList) have the 
particle in their respective motherList 
(or daughterlist). This operation takes a bit more 
time than the other error tests (of the order of 10% of what it takes 
to generate the event in the first place), and so could be switched off 
to save time. 
 
 
 
 
The number of erroneous events, in the above check, for which 
event listing and other detailed information will be printed. 
After that, only the normal error messages will be issued. 
Error counters are always updated, and accumulated numbers can be 
shown with pythia.statistics() at the end of the run. 
 
 
 
Maximum allowed summed deviation of E, p_x, 
p_y and p_z between the incoming beams and the 
final state, as a fraction of the initial energy, above which the 
event is counted as aborted. 
(Unfortunately roundoff errors do not scale linearly with the energy, 
and also have a very long tail. So while most events at lower energies 
may be correct to better than 1e-10, at LHC it does not have to signal 
any fundamental bug if also the default tolerance above is violated 
occasionally.) 
 
 
 
A check on the same summed deviation as above, but counted as a 
warning rather than an error, and not leading to the event being 
classified as aborted. 
 
 
       
 
 
pythia8-8.1.86.orig/xmldoc/Fragmentation.xml0000444000175000017500000003526612357055017017164 0ustar  sunsun 
 

      Fragmentation
       
 
Fragmentation in PYTHIA is based on the Lund string model 
And83, Sjo84. Several different aspects are involved in 
the physics description, which  here therefore is split accordingly. 
This also, at least partly, reflect the set of classes involved in 
the fragmentation machinery. 
 

       
The variables collected here have a very wide span of usefulness. 
Some would be central in any hadronization tuning exercise, others 
should not be touched except by experts. 
 

       
The fragmentation flavour-choice machinery is also used in a few 
other places of the program, notably particle decays, and is thus 
described on the separate Flavour 
Selection page. 
 

      Fragmentation functions
       
 
The StringZ class handles the choice of longitudinal 
lightcone fraction z according to one of two possible 
shape sets. 
 

       
The Lund symmetric fragmentation function And83 is the 
only alternative for light quarks. It is of the form 
 
    f(z) = (1/z) * (1-z)^a * exp(-b m_T^2 / z) 
 
with the two main free parameters a and b to be 
tuned to data. They are stored in 
 
 
The a parameter of the Lund symmetric fragmentation function. 
 
 
 
The b parameter of the Lund symmetric fragmentation function. 
 
 

       
In principle, each flavour can have a different a. Then, 
for going from an old flavour i to a new j one 
the shape is 
 
    f(z) = (1/z) * z^{a_i} * ((1-z)/z)^{a_j} * exp(-b * m_T^2 / z) 
 
This is only implemented for s quarks and diquarks relative to normal quarks: 
 
 
allows a larger a for s quarks, with total 
a = aLund + aExtraSQuark. 
 
 
 
allows a larger a for diquarks, with total 
a = aLund + aExtraDiquark. 
 
 

       
Finally, the Bowler modification Bow81 introduces an extra 
factor 
 
    1/z^{r_Q * b * m_Q^2} 
 
for heavy quarks. To keep some flexibility, a multiplicative factor 
r_Q is introduced, which ought to be unity (provided that 
quark masses were uniquely defined) but can be set in 
 
 
r_c, i.e. the above parameter for c quarks. 
 
 
 
r_b, i.e. the above parameter for b quarks. 
 
 
 
r_h, i.e. the above parameter for heavier hypothetical quarks, 
or in general any new coloured particle long-lived enough to hadronize. 
 
 

       
Within the string framework, the b parameter is universal, 
i.e. common for all flavours. Nevertheless, for fits to experimental 
data, better agreement can be obtained if both a_Q and 
b_Q can be set freely in a general expression 
 
    f(z) = 1/z^{1 + r_Q * b_Q * m_Q^2} * (1-z)^a_Q * exp(-b_Q m_T^2 / z) 
 
The below switches and values can be used to achieve this. They should 
be used with caution and constitute clear deviations from the Lund 
philosophy. 
 
 
use the above nonstandard Lund ansatz for c quarks. 
 
 
 
use the above nonstandard Lund ansatz for b quarks. 
 
 
 
use the above nonstandard Lund ansatz for hypothetical heavier quarks. 
 
 
 
The a parameter in the nonstandard Lund ansatz for 
 c quarks. 
 
 
 
The a parameter in the nonstandard Lund ansatz for 
 b quarks. 
 
 
 
The a parameter in the nonstandard Lund ansatz for 
hypothetical heavier quarks. 
 
 
 
The b parameter in the nonstandard Lund ansatz for 
c quarks. 
 
 
 
The b parameter in the nonstandard Lund ansatz for 
b quarks. 
 
 
 
The b parameter in the nonstandard Lund ansatz for 
hypothetical heavier quarks. 
 
 

       
As another nonstandard alternative, it is possible to switch over to the 
Peterson/SLAC formula Pet83 
 
     f(z) = 1 / ( z * (1 - 1/z - epsilon/(1-z))^2 ) 
 
for charm, bottom and heavier (defined as above) by the three flags 
 
 
use Peterson for c quarks. 
 
 
 
use Peterson for b quarks. 
 
 
 
use Peterson for hypothetical heavier quarks. 
 
 

       
When switched on, the corresponding epsilon values are chosen to be 
 
 
epsilon_c, i.e. the above parameter for c quarks. 
 
 
 
epsilon_b, i.e. the above parameter for b quarks. 
 
 
 
epsilon_h, i.e. the above parameter for hypothetical heavier 
quarks, normalized to the case where m_h = m_b. The actually 
used parameter is then epsilon = epsilon_h * (m_b^2 / m_h^2). 
This allows a sensible scaling to a particle with an unknown higher 
mass without the need for a user intervention. 
 
 

      Fragmentation pT
       
 
The StringPT class handles the choice of fragmentation 
pT. At each string breaking the quark and antiquark of the pair are 
supposed to receive opposite and compensating pT kicks according 
to a Gaussian distribution in p_x and p_y separately. 
Call sigma_q the width of the p_x and p_y 
distributions separately, i.e. 
 
    d(Prob) = exp( -(p_x^2 + p_y^2) / 2 sigma_q^2). 
 
Then the total squared width is 
 
    <pT^2> = <p_x^2> +  <p_y^2> = 2 sigma_q^2 = sigma^2. 
 
It is this latter number that is stored in 
 
 
the width sigma in the fragmentation process. 
 
 

       
Since a normal hadron receives pT contributions for two string 
breakings, it has a <p_x^2>_had = <p_y^2>_had = sigma^2, 
and thus <pT^2>_had = 2 sigma^2. 
 

       
Some studies on isolated particles at LEP has indicated the need for 
a slightly enhanced rate in the high-pT tail of the above 
distribution. This would have to be reviewed in the context of a 
complete retune of parton showers and hadronization, but for the 
moment we stay with the current recipe, to boost the above pT 
by a factor enhancedWidth for a small fraction 
enhancedFraction of the breakups, where 
 
 
enhancedFraction,the fraction of string breaks with enhanced 
width. 
 
 
 
enhancedWidth,the enhancement of the width in this fraction. 
 
 

      Jet joining procedure
       
 
String fragmentation is carried out iteratively from both string ends 
inwards, which means that the two chains of hadrons have to be joined up 
somewhere in the middle of the event. This joining is described by 
parameters that in principle follows from the standard fragmentation 
parameters, but in a way too complicated to parametrize. The dependence 
is rather mild, however, so for a sensible range of variation the 
parameters in this section should not be touched. 
 
 
Is used to define a W_min = m_q1 + m_q2 + stopMass, 
where m_q1 and m_q2 are the masses of the two 
current endpoint quarks or diquarks. 
 
 
 
Add to W_min an amount stopNewFlav * m_q_last, 
where q_last is the last q qbar pair produced 
between the final two hadrons. 
 
 
 
The W_min above is then smeared uniformly in the range 
W_min_smeared = W_min * [ 1 - stopSmear, 1 + stopSmear ]. 
 
 

       
This W_min_smeared is then compared with the current remaining 
W_transverse to determine if there is energy left for further 
particle production. If not, i.e. if 
W_transverse < W_min_smeared, the final two particles are 
produced from what is currently left, if possible. (If not, the 
fragmentation process is started over.) 
 

      Simplifying systems
       
 
There are a few situations when it is meaningful to simplify the 
original task, one way or another. 
 
 
Decides whether a partonic system should be considered as a normal 
string or a ministring, the latter only producing one or two primary 
hadrons. The system mass should be above mStringMin plus the 
sum of quark/diquark constituent masses for a normal string description, 
else the ministring scenario is used. 
 
 
 
When two colour-connected partons are very nearby, with at least 
one being a gluon, they can be joined into one, to avoid technical 
problems of very small string regions. The requirement for joining is 
that the invariant mass of the pair is below mJoin, where a 
gluon only counts with half its momentum, i.e. with its contribution 
to the string region under consideration. (Note that, for technical 
reasons, the 0.2 GeV lower limit is de facto hardcoded.) 
 
 
 
When the invariant mass of two of the quarks in a three-quark junction 
string system becomes too small, the system is simplified to a 
quark-diquark simple string. The requirement for this simplification 
is that the diquark mass, minus the two quark masses, falls below 
mJoinJunction. Gluons on the string between the junction and 
the respective quark, if any, are counted as part of the quark 
four-momentum. Those on the two combined legs are clustered with the 
diquark when it is formed. 
 
 

      Ministrings
       
 
The MiniStringFragmentation machinery is only used when a 
string system has so small invariant mass that normal string fragmentation 
is difficult/impossible. Instead one or two particles are produced, 
in the former case shuffling energy-momentum relative to another 
colour singlet system in the event, while preserving the invariant 
mass of that system. With one exception parameters are the same as 
defined for normal string fragmentation, to the extent that they are 
at all applicable in this case. 
 
A discussion of the relevant physics is found in Nor00. 
The current implementation does not completely abide to the scheme 
presented there, however, but has in part been simplified. (In part 
for greater clarity, in part since the class is not quite finished yet.) 
 
 
Whenever the machinery is called, first this many attempts are made 
to pick two hadrons that the system fragments to. If the hadrons are 
too massive the attempt will fail, but a new subsequent try could 
involve other flavour and hadrons and thus still succeed. 
After nTry attempts, instead an attempt is made to produce a 
single hadron from the system. Should also this fail, some further 
attempts at obtaining two hadrons will be made before eventually 
giving up. 
 
 

      Junction treatment
       
 
A junction topology corresponds to an Y arrangement of strings 
i.e. where three string pieces have to be joined up in a junction. 
Such topologies can arise if several valence quarks are kicked out 
from a proton beam, or in baryon-number-violating SUSY decays. 
Special attention is necessary to handle the region just around 
the junction, where the baryon number topologically is located. 
The junction fragmentation scheme is described in Sjo03. 
The parameters in this section should not be touched except by experts. 
 
 
Used to find the effective rest frame of the junction, which is 
complicated when the three string legs may contain additional 
gluons between the junction and the endpoint. To this end, 
a pull is defined as a weighed sum of the momenta on each leg, 
where the weight is exp(- eSum / eNormJunction), with 
eSum the summed energy of all partons closer to the junction 
than the currently considered one (in the junction rest frame). 
Should in principle be (close to) sqrt((1 + a) / b), with 
a and b the parameters of the Lund symmetric 
fragmentation function. 
 
 
 
Retry (up to 10 times) when the first two considered strings in to a 
junction both have a remaining energy (in the junction rest frame) 
above this number. 
 
 
 
Retry (up to 10 times) when the first two considered strings in to a 
junction has a highest remaining energy (in the junction rest frame) 
above a random energy evenly distributed between 
eBothLeftJunction and 
eBothLeftJunction + eMaxLeftJunction 
(drawn anew for each test). 
 
 
 
Retry (up to 10 times) when the invariant mass-squared of the final leg 
and the leftover momentum of the first two treated legs falls below 
eMinLeftJunction times the energy of the final leg (in the 
junction rest frame). 
 
 
       
 
 
 
pythia8-8.1.86.orig/xmldoc/SUSYProcesses.xml0000444000175000017500000003630212357055030017043 0ustar  sunsun 
 

      SUSY
       

       
Here is collected processes involving supersymmetric particle 
production, with the exception of the (extended) Higgs sector. 
Since the number of separate but closely related processes is so big, 
there will not be switches for each separate process but only for a 
reasonable set of subgroups. However, the general switches 
SUSY:idA and SUSY:idB,valternatively 
vectors SUSY:idVecA and SUSY:idVecB, 
may be used in conjunction with any of these groups to provide 
some additional flexibility to concentrate on processes involving 
only specific (s)particle final states, see below. 

       
 

       
Most of the SUSY implementation in PYTHIA 8 has been written by 
N. Desai and is documented in Des11. Please give due 
credit to external contributions to PYTHIA 8, such as this one, by 
including the original work in your list of references when using this 
implementation. The cross section formulae are mostly taken from 
Boz07 and Fuk11. 

       
 

      Since the implementation of SUSY processes was only recently 
completed Des11, case-by-case validations against other codes 
are still recommended. A set of default validations have 
already been carried out by the authors, comparing to 
the PYTHIA 6 SUSY implementation and to the XSUSY code, 
using an sps1a spectrum. Explicit 
validations of the non-trivial SLHA2-specific extensions have 
generally not been carried out yet, with the exception of the R-parity 
violating single-sparticle production cross sections. Please report 
the results of any user validations you may carry out to the authors. 

       
 
Important Note on SLHA: 
In order to simulate SUSY processes it is required to read in the 
couplings and masses relevant for the scenario to be studied. This 
is done with the help of the SUSY Les Houches Accord (SLHA), including 
the SLHA2 extensions and generalizations. (Internally, the SLHA2 
conventions are used. SLHA1 spectra are automatically translated into 
SLHA2 notation during initialization.) The 
reading of a relevant SLHA file must be set up, as described 
on the SLHA page. 
Attempting to generate SUSY processes without a properly initialized 
SLHA spectrum is strongly discouraged and may lead to unexpected 
results. Always check for warnings and errors reported by the SLHA 
reader during the initialization stage. 
 

      SUSY Processes
       
 
Note 1: Decays of SUSY particles are described 
separately below. 
 
Note 2: One special possibility is that the gluino or 
some squark(s) are sufficiently long-lived to hadronize. See 
the R-hadrons page for further details. 
 
Note 3: lepton- and photon-initial states are not yet available. 
Only quark/gluon-initiated 2 → 2 and 2 → 1 (RPV) 
processes have been implemented. 
 
Note 4: cross sections will be correctly folded with open 
branching fractions of cascade decays, but at present any difference between 
particle and antiparticle decay tables is not taken into account. This 
possibility will be included in a future update. 
 
 
Common switch for production of supersymmetric particles, i.e. 
particles with R-parity -1. 
 
 
 
Option to limit the sum over possible outgoing states in SUSY 
2 → 2 processes to ones including a specific particle 
identity code. The default corresponds to summing over all possible 
indices. A non-zero value of SUSY:idA selects only processes 
that contain the state corresponding to that particular particle identity 
code in the fundamental 2 → 2 scattering process (summed 
over particle/antiparticle). It is the user's responsibility to ensure 
that (a subset of) the processes to be simulated actually include this 
particle at the 2 → 2 level; thus, asking for the lightest 
neutralino (code 1000021) to be present in a squark-squark production 
process will give no match. 
 
 
 
As for SUSY:idA, but requires an additional particle 
with PDG code SUSY:idB to be present in the 2 → 2 
process. Thus, using  SUSY:idA and  SUSY:idB 
a specific subprocess can be selected. Again only the absolute sign is 
used, i.e. the summation over particle and antiparticle is retained. 
Also the order of SUSY:idA and SUSY:idB is 
irrelevant; since both possible orderings are checked for a match 
with the two outgoing particles. (Although not recommended, should 
SUSY:idA be zero and SUSY:idB nonzero 
a match is searched for just like in the normal case with 
SUSY:idA nonzero and SUSY:idB zero.) 
 
 
 
As for SUSY:idA, but as a vector of PDG codes. 
(Character-string input of such vectors should be as a 
comma-separated list, without any blanks.) Thus, it selects only 
processes that have a final-state particle corresponding to one 
of the identity codes in this vector. Note that, to activate this, 
SUSY:idA must be equal to zero; if not then the match 
to SUSY:idA takes precedence. 
 
 
 
As for SUSY:idB, but as a vector of PDG codes. 
(Character-string input of such vectors should be as a 
comma-separated list, without any blanks.) As above, to activate this, 
SUSY:idB must be equal to zero; if not then the match to 
SUSY:idB takes precedence. For the matching, either of 
SUSY:idA and SUSY:idVecA may be combined with 
either of SUSY:idB and SUSY:idVecB. 
As above one of the two outgoing SUSY particles must match one of the 
particles in SUSY:id(Vec)A and the other one of the 
particles in SUSY:id(Vec)B when both are nonzero. 
 
 
 
The value of sin2(thetaW) should be taken from 
 
 
 
 
 

      Gluino Pair Production
       
 
 
Pair production of gluinos by gluon-gluon initial states. 
 
 
 
Pair production of gluinos by quark-antiquark annihilation and 
t-channel squark exchange.  The cross section 
expression follows Fuk11 and include the possibility 
of non-minimal flavour violation through misalignment of quarks with 
squarks. Only the MFV case has been explicitly validated. 
 
 

      Associated Squark-Gluino Production
       
 
 
Associated production of a squark with a gluino. The cross section 
expression follows Fuk11 and include the possibility 
of non-minimal flavour violation through misalignment of quarks with 
squarks. Only the MFV case has been explicitly validated. 
 
 

      Squark Pair Production
       
 
 
Pair production of a scalar quark together with a scalar antiquark by 
gluon annihilation via s-channel gluon exchange, t- and 
u-channel squark exchange, and the direct 4-point coupling. 
The cross section expression follows Boz07. 
Only the MFV case has been explicitly validated. 
 
 
 
Pair production of a scalar quark together with a scalar antiquark 
by quark-antiquark annihilation. 
For same-isospin ~q~q* production (i.e., ~u~u*, 
~u~c*, ...), the s-channel gluon, photon, and 
Z and t-channel gluino contributions have so far 
been implemented (i.e., the t-channel neutralino contributions 
are neglected). For opposite-isospin ~q~q* production 
(~u~d*, ~u~s*, ...), the s-channel W 
and t-channel gluino contributions have been implemented 
(i.e., the t-channel neutralino contributions are neglected). 
The cross section expressions follow Boz07. 
Only the MFV case has been explicitly validated. 
(Note to PYTHIA 6 users: 
in older PYTHIA 6 versions, a bug caused the ~t1~t2* cross to be 
overcounted by a factor of 2. Starting from version 6.4.24, that 
generator now agrees with the implementation here.) 
 
 
 
When switched on this flag switches off all but the 
s-channel gluon contribution in the 
calculation of same-isospin squark-antisquark production cross 
sections. Intended for reference only. For the most 
accurate physics simulation, leave this flag in the off 
position. 
 
 
 
Pair production of scalar quarks (squark-squark and its charge 
conjugate process; for squark-antisquark production see above) 
by t- and u-channel gluino, neutralino, and 
chargino exchange. The cross section expressions follow Boz07. 
Only the MFV case has been explicitly validated. 
(Note to PYTHIA 6 users: PYTHIA 6 only included the gluino exchange 
contribution, which typically dominates due to the size of the strong 
coupling; for counterchecks, 
the flag SUSY:qq2squarksquark:onlyQCD 
below can be switched on to eliminate the chargino and neutralino 
contributions.) 
 
 
 
When switched on this flag causes the t- or 
u-channel neutralino and chargino contributions to be 
ignored in the calculation of squark pair production cross sections. 
Intended for reference only. For the most accurate physics simulation, 
leave this flag in the off position. 
 
 

      Neutralino and Chargino Pair Production
       
 
 
Pair production of neutralinos by quark-antiquark annihilation. With 
four neutralino species this gives ten separate processes, codes 
1201 - 1210. The cross section expressions follow Boz07. 
Only the MFV case has been explicitly validated. 
 
 
 
Associated chargino-neutralino production by quark-antiquark 
annihilation. With four neutralino species, two chargino ones, and 
maintaining charge conjugate processes separate, this gives 16 
separate processes, codes 1221 - 1236. The cross section expressions 
follow Boz07. 
Only the MFV case has been explicitly validated. 
 
 
 
Pair production of charginos by quark-antiquark annihilation. With 
two chargino species and maintaining mutually charge conjugate 
processes separate, this gives four separate processes, codes 
1241 - 1244. The cross section expressions follow Boz07. 
Only the MFV case has been explicitly validated. 
 
 

      Associated Neutralino/Chargino + Squark/Gluino Production
       
 
 
Pair production of neutralinos from quark-gluon initial states. 
The cross section expressions follow Boz07. 
Only the MFV case has been explicitly validated. 
 
 
 
Associated chargino-squark production from quark-gluon initial states. 
annihilation. The cross section expressions 
follow Boz07. 
Only the MFV case has been explicitly validated. 
 
 
 
Associated neutralino-gluino production by quark-antiquark 
annihilation. 
The cross section expressions follow 
Fuk11. Only the MFV case has been explicitly validated. 
 
 
 
Associated chargino-gluino production by quark-antiquark 
annihilation. The cross section expressions follow 
Fuk11. Only the MFV case has been explicitly 
validated. (Note to PYTHIA 6 users: small differences between 
this implementation and PYTHIA 6 arise due 
to slightly different treatments of the weak mixing angle, 
which is fixed in PYTHIA 6, while it is computed from the SLHA input 
in PYTHIA 8; see SUSY:sin2thetaWMode above.) 
 
 

      Slepton Production
       
 
Pair production of slepton-antislepton via s-channel W, Z and gamma 
exchange.  Includes both charged sleptons and sneutrinos but right 
handed sneutrinos currently not supported. 
 
 
 

      R-parity violating squark production
       
 
 
Resonant squark production via R-parity violating UDD couplings. The 
couplings must be input using the SLHA2 structure. 
 
 
 

      Decays of SUSY Particles
       
 
Based on the parameters read in from the SLHA, PYTHIA 8 will normally 
compute the decay modes of SUSY particles automatically, using the 
SusyResonanceDecays class(es). Essentially all tree-level 
2-body decays in the MSSM 
have been implemented this way, excepting so far only those involving 
Higgs bosons (either in the in- or out-state) or gravitinos. 
Available channels so far include: 

         

      • ~q → q + ~chi
        •  

      • ~q → ~q + W/Z
        •  

      • ~q → q + q (RPV UDD)
        •  

      • ~q → l + q (RPV LQD)
        •  

      • ~g → ~q + q
        •  

      • ~chi → ~chi + Z/W
        •  

      • ~chi → ~q + q
        •  

      • ~chi → ~l/~nu + l/nu
        •  

      • ~chi0 → q + q + q (RPV UDD)
        •  

      • ~l/~nu → l/nu + ~chi
        •  

      • ~l/~nu → ~l/~nu + W/Z
        •  

       
All channels are still undergoing validation, so this 
implementation should be considered preliminary. 
Still missing but to be included in a forthcoming update 
are: 3-body decays of charginos (via RPV), and 2-body decays of squarks and 
gauginos with Higgs as one of the decay products. 
 
Some 3-body decays have been implemented with Matrix Element weighting. 
In particular, those for a neutralino to a lighter neutralino and a 
fermion pair can be enabled. 
 
 
When "on", the spin-averaged, squared matrix element is used 
to sample the phase space for resonance decay.  Currently, only 
possible for a heavy neutralino decay to a light neutralino 
and a fermion-antifermion pair. 
 
 
 
       
 
 
 
pythia8-8.1.86.orig/xmldoc/ExtraDimensionalProcesses.xml0000444000175000017500000005413512357055017021517 0ustar  sunsun 
 

      Extra-Dimensional Processes
       
 
Scenarios with extra dimensions (ED) allow a multitude of processes. 
Currently three different categories of processes are implemented. 
The first involves the production of excited Kaluza Klein states 
within so-called Randall-Sundrum (RS) scenarios, the second is 
related to resonance production in TeV-1 sized extra dimensions 
and the third relates to phenomena from large extra dimensions (LED). 
Due to the close relation between the LED model and a so-called 
unparticle model, similar unparticle processes are also kept in this 
section. 
 

      Randall-Sundrum Resonances, production processes
       
 
The graviton (G*) and gluon (KKgluon*) resonance states are assigned 
PDG code 5100039 and 5100021 respectively. The G* processes are 
described in Bij01 and the KKgluon* process in Ask11. 
Decays into fermion and boson pairs are handled with the correct 
angular distributions, while subsequent decays are handled 
isotropically. 
 

       
There are two lowest-order processes that together normally 
should be sufficient for a simulation of G^* production. 
 
 
Common switch for the group of lowest-order G^* production 
processes, i.e. the two ones below. 
 
 
 
Scatterings g g → G^*. 
Code 5001. 
 
 
 
Scatterings f fbar → G^*. 
Code 5002. 
 
 

       
In addition there are three first-order processes included. These 
are of less interest, but can be used for dedicated studies of the 
high-pT tail of G^* production. As usual, it would 
be double counting to include the lowest-order and first-order 
processes simultaneously. Therefore the latter ones are not included 
with the ExtraDimensionsG*:all = on option. In this set 
of processes all decay angles are assumed isotropic. 
 
 
Scatterings g g → G^* g. 
Code 5003. 
 
 
 
Scatterings q g → G^* q. 
Code 5004. 
 
 
 
Scatterings q qbar → G^* g. 
Code 5005. 
 
 

       
There is also one process for the production of a gluon resonance. 
 
 
Scatterings q qbar → g^*/KKgluon^*. 
Code 5006. 
 
 

      Randall-Sundrum Resonances, parameters
       
 
In the above scenario the main free parameters are the masses, which 
are set as usual. In addition there are the following coupling parameters. 
The coupling kappaMG follows the conventions in Bij01, 
where as the flavour dependent couplings follow the conventions used in 
Dav01. 
 
 
Parameter to choose between the two scenarios: 
off, SM on the TeV brane (common kappaMG coupling); 
on, SM in the ED bulk (flavour dependent couplings). 
This parameter is only relevant for the lowest-order graviton 
(G*) processes, where as the first-order processes 
corresponds to the off scenario. 
 
 
 
Parameter to specify Z/W coupling scenario: 
off, usual Z/W boson couplings; 
on, coupling only to longitudinal Z/W bosons. 
In both cases the GZZ and GWW values are used 
and this parameter is only relevant when SMinBulk = on. 
The formulas for longitudinal bosons should be appropriate up to 
O(m_V/E_V) corrections. 
 
 
 
dimensionless coupling, which enters quadratically in all on-shell
partial widths of the G^*. Is 
kappa m_G* = sqrt(2) x_1 k / Mbar_Pl, 
where x_1 = 3.83 is the first zero of the J_1 Bessel 
function and Mbar_Pl is the modified Planck mass. 
In width and cross section calculations, kappa is fixed by 
the on-shell G^* mass and kappaMG, i.e.
kappaMG scales with the off-shell G^* mass.
 
 
 
Coupling between graviton and leptons. 
 
 
 
Coupling between graviton and light quarks. 
 
 
 
Coupling between graviton and bottom quark. 
 
 
 
Coupling between graviton and top quark. 
 
 
 
Coupling between graviton and gluon. 
 
 
 
Coupling between graviton and gamma. 
 
 
 
Coupling between graviton and Z boson. 
 
 
 
Coupling between graviton and W boson. 
 
 
 
Coupling between graviton and Higgs bosons. 
 
 
 
Coupling between KK-gluon and a right-handed light quark. 
 
 
 
Coupling between KK-gluon and a left-handed light quark. 
 
 
 
Coupling between KK-gluon and a right-handed bottom quark. 
 
 
 
Coupling between KK-gluon and a left-handed bottom quark. 
 
 
 
Coupling between KK-gluon and a right-handed top quark. 
 
 
 
Coupling between KK-gluon and a left-handed top quark. 
 
 
 
Choice of full g^*/KK-gluon^* structure or not in relevant 
processes. 
 
 
 
 
 

      TeV^-1 Sized Extra Dimension, production processes
       
 
This section contains a processes involving the production 
of electroweak KK gauge bosons, i.e. gamma_{KK}/Z_{KK}, 
in one TeV^-1 sized extra dimension. The process is described 
in Bel10 and allows for individual final states to be 
specified. 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → d dbar , 
Code 5061. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → u ubar , 
Code 5062. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → s sbar , 
Code 5063. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → c cbar , 
Code 5064. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → b bbar , 
Code 5065. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → t tbar , 
Code 5066. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → e+ e- , 
Code 5071. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → nue nuebar , 
Code 5072. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → mu+ mu- , 
Code 5073. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → numu numubar , 
Code 5074. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → tau+ tau- , 
Code 5075. 
 
 
 
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → nutau nutaubar , 
Code 5076. 
 
 

      TeV^-1 Sized Extra Dimension, parameters
       
 
Irrespective of the parameter options used, the particle produced, 
gamma_{KK}/Z_{KK}, will always be assigned code 5000023. 
 
 
Choice of full gamma_{KK}/Z_{KK} structure or not in relevant 
processes. 
 
 
 
 
 
 
 
 
 
The number of included KK excitations. 
 
 
 
The KK mass m^*, given by the inverse of the single extra 
dimension radius. 
 
 

      Large Extra Dimensions, production processes
       
 
The LED graviton, where the KK-modes normally are summed and do not 
give rise to phenomena individually, is assigned PDG code 5000039. 
The graviton emission and virtual graviton exchange processes use 
the same implementation as the corresponding unparticle processes, 
which are all described in Ask10. It is also possible to 
generate monojet events from scalar graviton emission as described 
in Azu05, by turning on the option GravScalar. 
 

       
Note: As discussed in Ask09, for the graviton or 
unparticle emission processes the underlying Breit-Wigner mass 
distribution should be matched to the graviton mass spectrum in order 
to achieve an optimal MC efficiency. 
 

       
The following lowest order graviton emission processes are available. 
 
 
Common switch for the group of lowest-order G jet emission 
processes, i.e. the three ones below. 
 
 
 
Scatterings g g → G g. 
Code 5021. 
 
 
 
Scatterings q g → G q. 
Code 5022. 
 
 
 
Scatterings q qbar → G g. 
Code 5023. 
 
 
 
Scatterings f fbar → G Z. 
Code 5024. 
 
 
 
Scatterings f fbar → G gamma. This process corresponds 
to the photon limit of the G Z process, as described in 
Ask09. 
Code 5025. 
 
 

       
The following LED processes with virtual graviton exchange are 
available. 
 
 
Scatterings f fbar → (LED G*) → gamma gamma. If the 
graviton contribution is zero, the results corresponds to the 
SM contribution, i.e. equivalent to 
PromptPhoton:ffbar2gammagamma. 
Code 5026. 
 
 
 
Scatterings g g → (LED G*) → gamma gamma. 
Code 5027. 
 
 
 
Scatterings f fbar → (LED G*) → l l , where 
l is a charged lepton. If the graviton contribution 
is zero, the results corresponds to the SM contribution, i.e. 
similar to WeakSingleBoson:ffbar2gmZ. Does not 
include t-channel amplitude relevant for e^+e^- to e^+e^- 
and no K-factor is used. 
Code 5028. 
 
 
 
Scatterings g g → (LED G*) → l l. 
Code 5029. 
 
 

       
Dijet production including graviton exchange is also available, using 
the same effective theory approach as the LED G exchange processes 
above or including more detailed amplitudes in accordance with 
Fra11. In case of the latter, the value of LambdaT 
is used as the value of the cut-off scale Lambda. For this 
reason the dijet processes only relates to the LED model and no 
unparticle versions are available. The processes are grouped together 
like their HardQCD equivalents and should therefore converge 
to the same results in the limit of an insignificant graviton 
contribution. 
 

       
Warning: These LED dijets processes are still being validated. 
 
 
Common switch for the group of lowest-order jet jet 
production processes with graviton exchange, i.e. the six ones 
below. 
 
 
 
Scatterings g g → (LED G*) → g g. 
Code 5030. 
 
 
 
Scatterings g g → (LED G*) → q qbar. Number of 
outgoing flavours specified by nQuarkNew parameter 
below. 
Code 5031. 
 
 
 
Scatterings q g → (LED G*) → q g and 
qbar g → (LED G*) → qbar g. 
Code 5032. 
 
 
 
Scatterings q q(bar)' → (LED G*) → q q(bar)'. 
Including q and qbar of same or different 
flavours, but the outgoing flavours equals the incoming ones. 
Code 5033. 
 
 
 
Scatterings q qbar → (LED G*) → g g. 
Code 5034. 
 
 
 
Scatterings q qbar → (LED G*) → q' qbar'. Number of 
outgoing flavours specified by nQuarkNew parameter below. 
Code 5035. 
 
 

      Large Extra Dimensions, parameters
       
 
 
Allow the monojet processes to produce scalar graviton emission 
instead of the default tensor one. The scalar option is according 
to the processes described in Azu05 and includes two 
coupling constants below. 
 
 
 
Number of extra dimensions. 
 
 
 
Fundamental scale of gravity in D = 4 + n dimensions. 
 
 
 
Ultraviolet cutoff parameter for the virtual graviton exchange processes. 
 
 
 
Allows to change sign of the interference terms in the graviton exchange 
processes, common in connection to using the Hewett convention 
Hew99. 
 
 
 
 
 
Options for when the hard scale of the process (e.g. sHat) 
approaches or exceed the scale of validity of the low energy effective 
theory (e.g. M_D). Note: Option 1 only concerns the 
graviton emission processes and the form factor is currently not available 
for the scalar graviton processes. 
 
 
 
 
 
 
 
Form factor parameter. 
 
 
 
Coupling related to scalar graviton emission. 
 
 
 
Coupling related to scalar graviton emission. 
 
 
 
Number of allowed outgoing new quark flavours in the above 
q qbar → (LED G*) → q' qbar' and 
g g → (LED G*) → q' qbar' 
processes. Similar to HardQCD:nQuarkNew for the QCD processes. 
 
 
 
Options to specify S function for LED dijet amplitudes. 
 
 
 
 

      Unparticles, production processes
       
 
As mentioned above, the similar unparticle and graviton processes 
share the same implementations. The unparticle processes, however, 
only use the dedicated unparticle parameters below. The unparticle 
is also assigned the PDG code 5000039 and is therefore called 
Graviton in the event record. The graviton and unparticle 
emission as well as virtual graviton and unparticle exchange processes 
are described in Ask10. 
 

       
Note: As discussed in Ask09, for the graviton or 
unparticle emission processes the underlying Breit-Wigner mass 
distribution should be matched to the graviton mass spectrum in order 
to achieve an optimal MC efficiency. 
 

       
The following unparticle emission processes are available. 
 
 
Common switch for the group of lowest-order U jet emission 
processes, i.e. the three ones below. 
 
 
 
Scatterings g g → U g. 
Code 5045. 
 
 
 
Scatterings q g → U q. 
Code 5046. 
 
 
 
Scatterings q qbar → U g. 
Code 5047. 
 
 
 
Scatterings f fbar → U Z. 
Code 5041. 
 
 
 
Scatterings f fbar → U gamma. This process corresponds 
to the photon limit of the U Z process, as described in 
Ask09. 
Code 5042. 
 
 

       
The following processes with virtual unparticle exchange are available. 
 
 
Scatterings f fbar → (U*) → gamma gamma. If the unparticle 
contribution is zero in the spin-2 case, the results corresponds to 
the SM contribution, i.e. equivalent to 
PromptPhoton:ffbar2gammagamma. 
Code 5043. 
 
 
 
Scatterings g g → (U*) → gamma gamma. 
Code 5044. 
 
 
 
Scatterings f fbar → (U*) → l lbar , where 
l is a charged lepton. If the unparticle contribution 
is zero, the results corresponds to the SM contribution, i.e. 
similar to WeakSingleBoson:ffbar2gmZ. Does not 
include t-channel amplitude relevant for e^+e^- to e^+e^- 
and no K-factor is used. 
Code 5048. 
 
 
 
Scatterings g g → (U*) → l lbar. 
Code 5049. 
 
 

      Unparticles, parameters
       
 
 
Unparticle spin. 
 
 
 
Scale dimension parameter. 
 
 
 
Unparticle renormalization scale. 
 
 
 
Unparticle coupling to the SM fields. 
 
 
 
Ratio, lambda'/lambda, between the two possible coupling constants 
of the spin-2 ME. Warning: A ratio value different from one 
give rise to an IR divergence which makes the event generation very slow, so 
this values is fixed to ratio = 1 for the moment. 
 
 
 
Options for when the hard scale of the process (e.g. sHat) 
approaches or exceed the scale of validity of the low energy effective 
theory (Lambda_U). This mode only concerns the unparticle 
emission processes. 
 
 
 
 
 
Chiral unparticle couplings, gXX = gLL = gRR. Only relevant 
for lepton production from spin-1 unparticle exchange. 
 
 
 
 
 
 
Chiral unparticle couplings, gXY = gLR = gRL. Only relevant 
for lepton production from spin-1 unparticle exchange. 
 
 
 
 
 
       
 
 
 
pythia8-8.1.86.orig/xmldoc/ImplementNewShowers.xml0000444000175000017500000006423012357055021020331 0ustar  sunsun 
 

      Implement New Showers
       
 
In case you want to replace the PYTHIA initial- and final-state 
showers by your own, it is possible but not trivial. The point is 
that multiparton interactions (MPI), initial-state radiation (ISR) and 
final-state radiation (FSR) in general appear in one single 
interleaved sequence of decreasing pT values. Therefore 
shower replacements would have to be able to play the game by such 
rules, as we will outline further below. Of course, this still 
leaves the field open exactly how to define what to mean by 
pT, how to handle recoil effects, how the colour flow is 
affected, and so on, so there is certainly room for alternative 
showers. A first example of a shower implemented within the PYTHIA 
context is VINCIA. 
 

       
For the moment we assume you want to keep the MPI part of the story 
unchanged, and make use of the existing beam-remnants (BR) machinery. 
If you want to replace both MPI, ISR, FSR and BR then you had better 
replace the whole PartonLevel module of the code. 
If, in addition, you want to produce your own hard processes, 
then you only need the 
hadron-level standalone 
part of the machinery. 
 

       
In order to write replacement codes for ISR and/or FSR it is useful 
to be aware of which information has to be shared between the 
different components, and which input/output structure is required 
of the relevant methods. For details, nothing beats studying the 
existing code. However, here we provide an overview, that should 
serve as a useful introduction. 
 

       
It should be noted that we here primarily address the problem in 
its full generality, with interleaved MPI, ISR and FSR. There exists 
an option TimeShower:interleave = off where only 
MPI and ISR would be interleaved and FSR be considered after these 
two, but still before BR. Most of the aspects described here would 
apply also for that case. By contrast, resonance decays are only 
considered after all the four above components, and timelike 
showers in those decays would never be interleaved with anything 
else, so are much simpler to administrate. 
 

       
Therefore the  
pythia.setShowerPtr( timesDecPtr, timesPtr, spacePtr) 
method allows two separate pointers to be set to instances of 
derived TimeShower classes. The first is only required 
to handle decays, say of Z^0 or Upsilon, with no 
dependence on beam remnants or ISR. The second, as well as 
spacePtr, has to handle the interleaved evolution of MPI, 
ISR and FSR. Therefore you are free to implement only the first, and 
let the PYTHIA default showers take care of the latter two. But, if 
you wanted to, you could also set timesDecPtr = 0 and 
only provide a timesPtr, or only a spacePtr. 
If your timelike shower does both cases, the first two pointers 
can agree. The only tiny point to take into account then is that 
init( beamAPtr, beamBPtr) is called twice, a first time 
to timesDecPtr with beam pointers 0, and a second time 
to timesPtr with nonvanishing beam pointers. 
 

      The event record and associated information
       
 
Obviously the main place for sharing information is the event 
record, specifically the Event event member of 
Pythia, passed around as a reference. It is 
assumed you already studied how it works, so here we only draw 
attention to a few aspects of special relevance. 
 

       
One basic principle is that existing partons should not be 
overwritten. Instead new partons should be created, even when a 
parton only receives a slightly shifted momentum and for the rest 
stays the same. Such "carbon copies" by final-state branchings 
should be denoted by both daughter indices of the original parton 
pointing to the copy, and both mother indices of the copy to the 
original. If the copy instead is intended to represent an earlier 
step, e.g. in ISR backwards evolution, the role of mothers and 
daughters is interchanged. The 
event.copy( iCopy, newStatus) 
routine can take care of this tedious task; the sign of 
newStatus tells the program which case to assume. 
 

       
To make the event record legible it is essential that the 
status codes 
are selected appropriately to represent the reason why each new 
parton is added to the record. Also remember to change the 
status of a parton to be negative whenever an existing parton 
is replaced by a set of new daughter partons. 
 

       
Another important parton property is scale(), 
which does not appear in the normal event listing, but only 
if you use the extended 
Event:listScaleAndVertex = on option. 
This property is supposed to represent the production scale 
(in GeV) of a parton. In the current FSR and ISR algorithms 
it is used to restrict from above the allowed pT 
values for branchings of this particular parton. 
Beam remnants and other partons that should not radiate are 
assigned scale 0. 
 

       
Auxiliary to the event record proper is the 
PartonSystems 
class, that keep track of which partons belong together in the 
same scattering subsystem. This information must be kept up-to-date 
during the shower evolution. 
 

       
For initial-state showers it is also necessary to keep track of 
the partonic content extracted from the beams. This information 
is stored in the 
BeamParticle 
class. 
 

      The TimeShower interface
       
 
If you want to replace the TimeShower class this would 
involve replacing the virtual methods among the following ones. 
 
 
The constructor does not need to do anything. 
 
 
 
The destructor does not need to do anything. 
 
 
 
This method only imports pointers to standard facilities, 
and is not virtual. 
 
 
 
You have to store your local copy of the pointers to these objects, 
since they have to be used during the generation, as explained above. 
The pointers could be zero; e.g. a local copy of TimeShower 
is created to handle showers in decays such as Upsilon → q qbar 
from inside the ParticleDecays class. This is also the 
place to do initialization of whatever parameters you plan to use, 
e.g. by reading in them from a user-accessible database like the 
Settings one. 
 
 
 
The question is whether the FSR should be allowed to occur at larger 
scales than the hard process it surrounds. This is process-dependent, 
as illustrated below for the the analogous 
SpaeShower::limitPTmax(...) method, although the two 
kinds of radiation need not have to be modeled identically. 
The TimeShower:pTmaxMatch switch allows you to force the 
behaviour among three options, but you may replace by your own logic. 

      The internal PYTHIA implementation also allows intermediate options, 
where emissions can go up to the kinematical limit but be dampened above 
the factorization or renormalization scale. Therefore the (square of the) 
latter two are provided as optional input parameters. 
       
 
 
Relative to the default pT_max evolution scale of the process, 
it may still be convenient to vary the matching slightly for the hardest 
interaction in an event, to probe the sensitivity to such details. The 
base-class implementation returns the value of the 
TimeShower:pTmaxFudge parameter. 
 
 
 
This is an all-in-one call for shower evolution, and as such cannot be 
used for the normal interleaved evolution, where only the routines below 
are used. It also cannot be used in resonance decays that form part of 
the hard process, since there the 
user hooks insert a potential 
veto step. Currently this routine is therefore only used in the 
hadron-level decays, e.g. Upsilon → g g g. 

      iBeg and iEnd is the position of the 
first and last parton of a separate system, typically produced by a 
resonance decay. Such a system only evolves in isolation, and in 
particular does not relate to the beams. 

      The pTmax value sets the maximum scale for evolution, 
but normally you would restrict that further for each individual 
parton based on its respective scale value. 

      The nBranchMax value, if positive, gives the maximum 
number of allowed branchings in the call, as useful for matching studies. 

      The routine is expected to return the number of FSR branchings that 
were generated, but only for non-critical statistics purposes. 

      Since the real action typically is delegated to the routines 
below, it may well be that the existing code need not be replaced. 
       
 
 
This is a further simplified version of the shower 
method above. Currently it only handles the emission of photons 
in the decay of a hadron into a pair of leptons, either a charged 
lepton-antilepton or a lepton-neutrino pair. It is properly matched 
to the matrix element in the decay via a virtual photon or 
W^+-, respectively. It is called as part of such decays 
if ParticleDecays:allowPhotonRadiation = on, which is 
not the default value. 
 
 
 
Can be used to return the pT evolution scale of the last 
branching in the cascade generated with the above 
shower(...) method. Is to be set in the internal 
pTLastInShower variable, and should be 0 if there 
were no branchings. Can be useful for matching studies. 
 
 
 
This method resets some counters and extracts the locations of 
outgoing partons, in preparation of using the optional global recoil 
scheme. Unlike prepare(...) below it is only called 
once during the parton-level evolution, since it only relates to 
the hardest interaction. Is probably of no use to most people. 
 
 
This method is called immediately after a new interaction (or the 
products of a resonance decay) has been added, and should then be used 
to prepare the subsystem of partons for subsequent evolution. In 
the current code this involves identifying all colour and charge 
dipole ends: the position of radiating and recoiling partons, maximum 
pT scales, possible higher-order matrix elements matchings 
to apply, and so on. 

      The iSys parameter specifies which parton system 
is to be prepared. It is used to extract the set of partons to be 
treated, with rules as described in the above section on subsystems. 
Specifically, the first two partons represent the incoming state, 
or are 0 for resonance decays unrelated to the beams, while the 
rest are not required to be in any particular order. 

      The limitPTmaxIn switch conveys the choice made 
on maximum scale for the dipole-ends evolution associated with the 
hard interaction of the event (while scales for subsequent MPIs by 
default are set to respect pT ordering). If true 
then this scale is set by the user choice options, 
see the TimeShower::limitPTmax method above, 
while if false emissions are allowed to go up to the 
kinematical limit. For the two-hard-interactions scenario, the two 
class variables dopTlimit1 and dopTlimit2 
instead convey the choice made. 
       
 
 
This method is called immediately after rescattering in the description 
of multiparton interactions. Thus the information on one or several 
systems is out-of-date, while that of the others is unchanged. 
We do not provide the details here, since we presume few implementors 
of new showers will want to touch the technicalities involved 
in obtaining a description of rescattering. 
 
 
 
This method is called immediately after a spacelike branching in the 
iSys'th subsystem. Thus the information for that system is 
out-of-date, while that of the others is unchanged. If you want, you are 
free to throw away all information for the affected subsystem and call 
prepare( iSys, event) to create new one. Alternatively 
you may choose only to update the information that has changed. The 
optional final argument is used to signal if a weak radiation has 
occured in the spacelike evolution, which might be used to switch off 
the timelike weak emissions. 
 
 
 
This is the main driver routine for the downwards evolution. A new 
pT is to be selected based on the current information set up 
by the routines above, and along with that a branching parton or dipole. 
The pTbegAll scale is the maximum scale allowed, from which 
the downwards evolution should be begun (usually respecting the maximum 
scale of each individual parton). If no emission is found above 
pTendAll (and above the respective shower cutoff scales) 
then 0. should be returned and no emissions will be allowed. 
Both scales can vary from one event to the next: if a scale has 
already been selected for MPI or ISR it makes no sense to look for 
a scale smaller than that from FSR, since it would not be able to 
compete, so pTendAll is set correspondingly. As it happens, 
FSR is tried before ISR and MPI in the interleaved evolution, 
but this is an implementation detail that could well change. 

      Typically the implementation of this routine would be to set 
up a loop over all possible radiating objects (dipoles, dipole ends, ...), 
for each pick its possible branching scale and then pick the one 
with largest scale as possible winner. At this stage no branching should 
actually be carried out, since MPI, ISR and FSR still have to be compared 
to assign the winner. 

      The isFirstTrial is true only for the 
very first emission, and is currently used in the global recoil option.
       
 
 
This method will be called once FSR has won the competition with 
MPI and ISR to do the next branching. The candidate branching found 
in the previous step should here be carried out in full. The 
pre-branching partons should get a negative status code and new 
replacement ones added to the end of the event record. Also the 
subsystem information should be updated, and possibly also the 
beams. 

      Should some problem be encountered in this procedure, e.g. if 
some not-previously-considered kinematics requirement fails, it is 
allowed to return false to indicate that no branching 
could be carried out. 

      Normally the optional isInterleaved argument would 
not be of interest. It can be used to separate resonance decays, false, 
from the interleaved evolution together with MPI and ISR, true. 
More precisely, it separates calls to the timesDecPtr 
and the timesPtr instances. 
       
 
 
This method is only called if rescattering is switched on in the 
description of multiparton interactions. It then propagates a recoil 
from a timelike branching to internal lines that connect systems. 
As for rescatterUpdate above, this is not likely to be 
of interest to most implementors of new showers. 
 
 
 
This method is not virtual. If a branching is constructed by the 
previous routine this tiny method should be able to return the number 
of the selected subsystem iSysSel where it occurred, 
so that the spacelike shower can be told which system to update, 
if necessary. Therefore iSysSel must be set in 
branch (or already in pTnext). 
 
 
 
This method is not virtual. It is used to tell whether a weak gauge 
boson has been emitted in the shower evolution. 
 
 
 
This method is not at all required. In the current implementation it 
outputs a list of all the dipole ends, with information on the 
respective dipole. The routine is not called anywhere in the public 
code, but has been inserted at various places during the 
development/debug phase. 
 
    

      The SpaceShower interface
       
 
If you want to replace the SpaceShower class this would 
involve replacing the virtual methods in the following. You will find 
that much of the story reminds of TimeShower above, and 
actually some cut-and-paste of text is involved. In some respects the 
description is simpler, since there are no special cases for resonance 
decays and non-interleaved evolution. Thus there is no correspondence 
to the TimeShower::shower(...) routine. 
 
 
The constructor does not need to do anything. 
 
 
 
Also the destructor does not need to do anything. 
 
 
 
This method only imports pointers to standard facilities, 
and is not virtual. 
 
 
 
You have to store your local copy of the pointers to these objects, 
since they have to be used during the generation, as explained above. 
This is also the place to do initialization of whatever parameters 
you plan to use, e.g. by reading in them from a user-accessible 
database like the Settings one. 
 
 
 
The question is whether the ISR should be allowed to occur at larger 
scales than the hard process it surrounds. This is process-dependent. 
For instance, if the hard process is Z^0 production we know 
that ISR should be allowed to go right up to the kinematical limit. 
If it is a 2 → 2 QCD process the ISR should not exceed 
the scale of the hard process, since if so one would double-count. 
The SpaceShower:pTmaxMatch switch allows you to force the 
behaviour, or else to program your own logic. The current default 
implementation limits pT whenever the final state contains 
a quark (except top), gluon or photon, since then the danger of 
double-counting is there. You may replace by your own logic, or leave as is. 

      The internal PYTHIA implementation also allows intermediate options, 
where emissions can go up to the kinematical limit but be dampened above 
the factorization or renormalization scale. Therefore the (square of the) 
latter two are provided as optional input parameters. 
       
 
 
When the above method limits pT_max to the scale of the process, 
it may still be convenient to vary the matching slightly for the hardest 
interaction in an event, to probe the sensitivity to such details. The 
base-class implementation returns the value of the 
SpaceShower:pTmaxFudge parameter. 
 
 
 
This method is called immediately after a new interaction has been 
added, and should then be used to prepare the subsystem of partons 
for subsequent evolution. In the current code this involves identifying 
the colour and charge dipole ends: the position of radiating and recoiling 
partons, maximum pT scales, and possible higher-order matrix 
elements matchings to apply. Depending on what you have in mind you may 
choose to store slightly different quantities. You have to use the 
subsystem information described above to find the positions of the two 
incoming partons (and the outgoing ones) of the system, and from there 
the scales at which they were produced. 

       The limitPTmax input agrees with the output of the 
previous method for the hardest process, and is always true for 
subsequent MPI, since there an unlimited pT for sure 
would lead to double-counting. 
       
 
 
This method is called immediately after a timelike branching in the 
iSys'th subsystem. Thus the information for that system may 
be out-of-date, and to be updated. For the standard PYTHIA showers 
this routine does not need to do anything, but that may be different 
in another implementation. The optional final argument is used to signal 
if a weak radiation has occured in the timelike evolution, which might be 
used to switch off the spacelike weak emissions. 
 
 
 
This is the main driver routine for the downwards evolution. A new 
pT is to be selected based on the current information set up 
by the routines above, and along with that a branching parton or dipole. 
The pTbegAll scale is the maximum scale allowed, from which 
the downwards evolution should be begun (usually respecting the maximum 
scale of each individual parton). If no emission is found above 
pTendAll (and above the respective shower cutoff scales) 
then 0. should be returned and no emissions will be allowed. 
Both scales can vary from one event to the next: if a scale has 
already been selected for MPI or ISR it makes no sense to look for 
a scale smaller than that from FSR, since it would not be able to 
compete, so pTendAll is set correspondingly. As it happens, 
FSR is tried before ISR and MPI in the interleaved evolution, 
but this is an implementation detail that could well change. 

      Typically the implementation of this routine would be to set 
up a loop over all possible radiating objects (dipoles, dipole ends, ...), 
for each pick its possible branching scale and then pick the one 
with largest scale as possible winner. At this stage no branching should 
actually be carried out, since MPI, ISR and FSR still have to be compared 
to assign the winner. 

      The input nRadIn provides the total number of 
ISR and FSR emissions already generated in the event, and so allows a 
special treatment for the very first emission, if desired. 
       
 
 
This method will be called once ISR has won the competition with 
MPI and FSR to do the next branching. The candidate branching found 
in the previous step should here be carried out in full. The 
pre-branching partons should get a negative status code and new 
replacement ones added to the end of the event record. Also the 
subsystem information should be updated, and possibly also the 
beams. 

      Should some problem be encountered in this procedure, e.g. if 
some not-previously-considered kinematics requirement fails, it is 
allowed to return false to indicate that no branching 
could be carried out. Also a complete restart of the parton-level 
description may be necessary, see doRestart() below. 
       
 
 
This method is not virtual. If a branching is constructed by the 
previous routine this tiny method should be able to return the number 
of the selected subsystem iSysSel where it occurred, 
so that the spacelike shower can be told which system to update, 
if necessary. Therefore iSysSel must be set in 
branch (or already in pTnext). 
 
 
 
This method is not virtual. If branch(...) above fails 
to construct a branching, and the conditions are such that the whole 
parton-level description should be restarted, then it should return 
true, else not. Currently only the rescattering description can give 
this kind of failures, and so the internal rescatterFail 
boolean must be set true when this should happen, and else false. 
 
 
 
This method is not virtual. It is used to tell whether a weak gauge 
boson has been emitted in the shower evolution. 
 
 
 
This method is not at all required. In the current implementation it 
outputs a list of all the dipole ends, with information on the 
respective dipole. The routine is not called anywhere in the public 
code, but has been inserted at various places during the 
development/debug phase. 
 
    
       
 
 
pythia8-8.1.86.orig/xmldoc/lejon2.eps0000444000175000017500000203431212357055021015532 0ustar  sunsun%!PS-Adobe-3.0 EPSF-3.0
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userdict /Adobe_level2_AI5 26 dict dup begin
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			array astore readonly
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		/setpacking /pop load def
		/currentpacking false def
	 end
		0
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	{
		Adobe_level2_AI5 begin
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	{
		currentdict Adobe_level2_AI5 eq
		{
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	mark
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		/findcmykcustomcolor
		{
			(AI8_CMYK_CustomColor)
			6 packedarray
		} bind def
		/findrgbcustomcolor
		{
			(AI8_RGB_CustomColor)
			5 packedarray
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		/setcustomcolor
		{
			exch 
			aload pop dup
			(AI8_CMYK_CustomColor) eq
			{
				pop pop
				4
				{
					4 index mul
					4 1 roll
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			{
				dup (AI8_RGB_CustomColor) eq
				{
					pop pop
					3
					{
						1 exch sub
						3 index mul 
						1 exch sub
						3 1 roll
					} repeat
					4 -1 roll pop
					setrgbcolor
				}
				{
					pop
					4
					{
						4 index mul 4 1 roll
					} repeat
					5 -1 roll pop
					setcmykcolor
				} ifelse
			} ifelse
		}
		def
	} if
	/setAIseparationgray
	{
		false setoverprint
		0 setgray
		/setseparationgray where{
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		}{
			/setcolorspace where{
				pop
				[/Separation (All) /DeviceCMYK {dup dup dup}] setcolorspace
				1 exch sub setcolor
			}{
				setgray
			}ifelse
		}ifelse
	} def
	
	/gt38? mark {version cvr cvx exec} stopped {cleartomark true} {38 gt exch pop} ifelse def
	userdict /deviceDPI 72 0 matrix defaultmatrix dtransform dup mul exch dup mul add sqrt put
	userdict /level2?
	systemdict /languagelevel known dup
	{
		pop systemdict /languagelevel get 2 ge
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	put
/level2ScreenFreq
{
 begin
		60
		HalftoneType 1 eq
		{
			pop Frequency
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		HalftoneType 2 eq
		{
			pop GrayFrequency
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		HalftoneType 5 eq
		{
			pop Default level2ScreenFreq
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 end
} bind def
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	level2? {currenthalftone level2ScreenFreq} {currentscreen pop pop} ifelse put
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			{
				exch .11 mul add exch .59 mul add exch .3 mul add
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		} if
		/currentcmykcolor where not
		{
			/currentcmykcolor
			{
				0 0 0 1 currentgray sub
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		/setoverprint where not
		{
			/setoverprint /pop load def
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		/selectfont where not
		{
			/selectfont
			{
				exch findfont exch
				dup type /arraytype eq
				{
					makefont
				}
				{
					scalefont
				} ifelse
				setfont
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		/cshow where not
		{
			/cshow
			{
				[
				0 0 5 -1 roll aload pop
				] cvx bind forall
			} bind def
		} if
	} if
	cleartomark
	/anyColor?
	{
		add add add 0 ne
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	/testColor
	{
		gsave
		setcmykcolor currentcmykcolor
		grestore
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	/testCMYKColorThrough
	{
		testColor anyColor?
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	userdict /composite?
	1 0 0 0 testCMYKColorThrough
	0 1 0 0 testCMYKColorThrough
	0 0 1 0 testCMYKColorThrough
	0 0 0 1 testCMYKColorThrough
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	composite? not
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	userdict /Adobe_ColorImage_AI6 53 dict put 
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		pop pop
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	/_proc1 null def
	/_proc2 null def
	/sourcearray 4 array def
	/_ptispace null def
	/_ptiname null def
	/_pti0 0 def
	/_pti1 0 def
	/_ptiproc null def
	/_ptiscale 0 def
	/_pticomps 0 def
	/_ptibuf 0 string def
	/_gtigray 0 def
	/_cticmyk null def
	/_rtirgb null def
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	/XIType 0 def
	/XIEncoding 0 def
	/XICompression 0 def
	/XIChannelCount 0 def
	/XIBitsPerPixel 0 def
	/XIImageHeight 0 def
	/XIImageWidth 0 def
	/XIImageMatrix null def
	/XIRowBytes 0 def
	/XIFile null def
	/XIBuffer1 null def
	/XIBuffer2 null def
	/XIBuffer3 null def
	/XIDataProc null def
	/XIColorSpace /DeviceGray def
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	4 index ne {
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		4 index ne {
			pop pop false
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			4 index ne {
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				4 index eq
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		/plateindex -1 def
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			gsave
			1 0 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 1 0 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 1 0 setcmykcolor systemdict /currentgray get exec 1 exch sub
			0 0 0 1 setcmykcolor systemdict /currentgray get exec 1 exch sub
			grestore
			1 0 0 0 ci6foureq { 
				/plateindex 0 def
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				0 1 0 0 ci6foureq { 
					/plateindex 1 def
				}{
					0 0 1 0 ci6foureq {
						/plateindex 2 def
					}{
						0 0 0 1 ci6foureq { 
							/plateindex 3 def
						}{
							0 0 0 0 ci6foureq {
								/plateindex 5 def
							} if
						} ifelse
					} ifelse
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			pop pop pop pop
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		plateindex
 end
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		false
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		/_proc2 exch cvlit def
		/_proc1 exch cvlit def
		_proc1 aload pop
		_proc2 aload pop
		_proc1 length
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		packedarray cvx
	}{
		/_proc2 exch cvlit def
		/_proc1 exch cvlit def
		/_newproc _proc1 length _proc2 length add array def
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		_newproc _proc1 length _proc2 putinterval
		_newproc cvx
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/ci6istint {
	type /arraytype eq 
} def
/ci6isspot {
	dup type /arraytype eq {
		dup length 1 sub get /Separation eq
	}{
		pop false
	} ifelse
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/ci6spotname {
	dup ci6isspot {dup length 2 sub get}{pop ()} ifelse
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/ci6altspace {
	aload pop pop pop ci6colormake
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/ci6numcomps {
	dup /DeviceGray eq {
		pop 1
	}{
		dup /DeviceRGB eq {
			pop 3
		}{
			/DeviceCMYK eq {
				4
			}{
				1
			} ifelse
		} ifelse
	} ifelse
} def
/ci6marksplate {
	dup /DeviceGray eq {
		pop plateindex 3 eq
	}{
		dup /DeviceRGB eq {
			pop plateindex 5 ne
		}{
			dup /DeviceCMYK eq {
				pop plateindex 5 ne
			}{
				dup ci6isspot {
					/findcmykcustomcolor where {
						pop
						dup length 2 sub get
						0.1 0.1 0.1 0.1 5 -1 roll
						findcmykcustomcolor 1 setcustomcolor
						systemdict /currentgray get exec
						1 ne
					}{
						pop plateindex 5 ne
					} ifelse
				}{
					pop plateindex 5 ne
				} ifelse
			} ifelse
		} ifelse
	} ifelse
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	exch 1 index 2 add 1 roll
	dup 1 eq {pop}{array astore} ifelse
	exch
} def
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	dup ci6istint {
		ci6altspace
		exch 4 1 roll
	}{
		1 3 1 roll
	} ifelse
} def
/ci6colortint {
	dup /DeviceGray eq {
		3 1 roll 1 exch sub mul 1 exch sub exch
	}{
		dup /DeviceRGB eq {
			3 1 roll {1 exch sub 1 index mul 1 exch sub exch} forall pop 3 array astore exch
		}{
			dup /DeviceCMYK eq {
				3 1 roll {1 index mul exch} forall pop 4 array astore exch
			}{
				3 1 roll mul exch
			} ifelse
		} ifelse
	} ifelse
} def
/ci6colortocmyk {
	dup /DeviceGray eq {
		pop 1 exch sub 0 0 0 4 -1 roll 4 array astore
	}{
		dup /DeviceRGB eq {
			pop aload pop _rgbtocmyk 4 array astore
		}{
			dup /DeviceCMYK eq {
				pop
			}{
				ci6altspace ci6colortint ci6colortocmyk
			} ifelse
		} ifelse
	} ifelse
} def
/ci6makeimagedict {
	7 dict begin
		/ImageType 1 def
		/Decode exch def
		/DataSource exch def
		/ImageMatrix exch def
		/BitsPerComponent exch def
		/Height exch def
		/Width exch def
	currentdict end
} def
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	0 1 2 index length 1 sub {
		dup 2 index exch get 255 exch sub 2 index 3 1 roll put
	} for
} def
/ci6stringknockout {
	0 1 2 index length 1 sub {
		255 2 index 3 1 roll put
	} for
} def
/ci6stringapply {
	0 1 4 index length 1 sub {
		dup
		4 index exch get
		3 index 3 1 roll
		3 index exec
	} for
	pop exch pop
} def
/ci6walkrgbstring {
	0 3 index
	dup length 1 sub 0 3 3 -1 roll {
		3 getinterval {} forall
		5 index exec
		3 index
	} for
	
	 5 {pop} repeat
} def
/ci6walkcmykstring
{
	0 3 index
	dup length 1 sub 0 4 3 -1 roll {
		4 getinterval {} forall
		
		6 index exec
		
		3 index
		
	} for
	
	5 { pop } repeat
	
} def
/ci6putrgbtograystr
{
	.11 mul exch
	
	.59 mul add exch
	
	.3 mul add
	
	cvi 3 copy put
	
	pop 1 add
} def
/ci6putcmyktograystr
{
	exch .11 mul add
	
	exch .59 mul add
	
	exch .3 mul add
	
	dup 255 gt { pop 255 } if
	
	255 exch sub cvi 3 copy put
	
	pop 1 add
} def
/ci6rgbtograyproc {	
	Adobe_ColorImage_AI6_Vars begin 
		sourcearray 0 get exec
		XIBuffer3
		dup 3 1 roll 
		
		/ci6putrgbtograystr load exch
		ci6walkrgbstring
 end
} def
/ci6cmyktograyproc {	
	Adobe_ColorImage_AI6_Vars begin
		sourcearray 0 get exec
		XIBuffer3
		dup 3 1 roll 
		
		/ci6putcmyktograystr load exch
		ci6walkcmykstring
 end
} def
/ci6separatecmykproc {	
	Adobe_ColorImage_AI6_Vars begin
		sourcearray 0 get exec
		
		XIBuffer3
		
		0 2 index
		
		plateindex 4 2 index length 1 sub {
			get 255 exch sub
			
			3 copy put pop 1 add
			
			2 index
		} for
		pop pop exch pop
 end
} def
	
/ci6compositeimage {
	dup 1 eq {
		pop pop image
	}{
		/ci6colorimage load null ne {
			ci6colorimage
		}{
			3 1 roll pop
			sourcearray 0 3 -1 roll put
			3 eq {/ci6rgbtograyproc}{/ci6cmyktograyproc} ifelse load
			image
		} ifelse
	} ifelse
} def
/ci6knockoutimage {
	gsave
	0 ci6curtransfer exec 1 ci6curtransfer exec
	eq {
		0 ci6curtransfer exec 0.5 lt
	}{
		0 ci6curtransfer exec 1 ci6curtransfer exec gt
	} ifelse
	{{pop 0}}{{pop 1}} ifelse
	systemdict /settransfer get exec
	ci6compositeimage
	grestore
} def
/ci6drawimage {
	ci6testplate -1 eq {
		pop ci6compositeimage
	}{
		dup type /arraytype eq {
			dup length plateindex gt {plateindex get}{pop false} ifelse
		}{
			{
				true
			}{
				dup 1 eq {plateindex 3 eq}{plateindex 3 le} ifelse
			} ifelse
		} ifelse
		{
			dup 1 eq {
				pop pop ci6image
			}{
				dup 3 eq {
					ci6compositeimage
				}{
					pop pop
					sourcearray 0 3 -1 roll put
					/ci6separatecmykproc load
					ci6image
				} ifelse
			} ifelse
		}{
			ci6curoverprint {
				7 {pop} repeat
			}{
				ci6knockoutimage
			} ifelse
		} ifelse
	} ifelse
} def
/ci6proctintimage {
	/_ptispace exch store /_ptiname exch store /_pti1 exch store /_pti0 exch store /_ptiproc exch store
	/_pticomps _ptispace ci6numcomps store
	/_ptiscale _pti1 _pti0 sub store
	level2? {
		_ptiname length 0 gt version cvr 2012 ge and {
			[/Separation _ptiname _ptispace {_ptiproc}] setcolorspace
			[_pti0 _pti1] ci6makeimagedict ci6image
		}{
			[/Indexed _ptispace 255 {255 div _ptiscale mul _pti0 add _ptiproc}] setcolorspace
			[0 255] ci6makeimagedict ci6image
		} ifelse
	}{
		_pticomps 1 eq {
			{
				dup
				{
					255 div _ptiscale mul _pti0 add _ptiproc 255 mul cvi put
				} ci6stringapply
			} ci6concatprocs ci6image
		}{
			{
				dup length _pticomps mul dup _ptibuf length ne {/_ptibuf exch string store}{pop} ifelse
				_ptibuf {
					exch _pticomps mul exch 255 div _ptiscale mul _pti0 add _ptiproc
					_pticomps 2 add -2 roll
					_pticomps 1 sub -1 0 {
						1 index add 2 index exch
						5 -1 roll
						255 mul cvi put
					} for
					pop pop
				} ci6stringapply
			} ci6concatprocs false _pticomps
			/ci6colorimage load null eq {7 {pop} repeat}{ci6colorimage} ifelse
		} ifelse
	} ifelse
} def
/ci6graytintimage {
	/_gtigray 5 -1 roll store
	{1 _gtigray sub mul 1 exch sub} 4 1 roll
	/DeviceGray ci6proctintimage
} def
/ci6cmyktintimage {
	/_cticmyk 5 -1 roll store
	{_cticmyk {1 index mul exch} forall pop} 4 1 roll
	/DeviceCMYK ci6proctintimage
} def
/ci6rgbtintimage {
	/_rtirgb 5 -1 roll store
	{_rtirgb {1 exch sub 1 index mul 1 exch sub exch} forall pop} 4 1 roll
	/DeviceRGB ci6proctintimage
} def
/ci6tintimage {
	ci6testplate -1 eq {
		ci6colorexpand
		3 -1 roll 5 -1 roll {0}{0 exch} ifelse 4 2 roll
		dup /DeviceGray eq {
			pop ci6graytintimage
		}{
			dup /DeviceRGB eq {
				pop ci6rgbtintimage
			}{
				pop ci6cmyktintimage
			} ifelse
		} ifelse
	}{
		dup ci6marksplate {
			plateindex 5 lt {
				ci6colortocmyk plateindex get
				dup 0 eq ci6curoverprint and {
					7 {pop} repeat
				}{
					1 exch sub
					exch {1 0}{0 1} ifelse () ci6graytintimage
				} ifelse
			}{
				pop exch {0}{0 exch} ifelse 0 3 1 roll () ci6graytintimage
			} ifelse
		}{
			ci6curoverprint {
				8 {pop} repeat
			}{
				pop pop pop
				{pop 1} 0 1 () /DeviceGray ci6proctintimage
			} ifelse
		} ifelse
	} ifelse
} def
/XINullImage {
} def
/XIImageMask {
	XIImageWidth XIImageHeight false
	[XIImageWidth 0 0 XIImageHeight neg 0 0]
	/XIDataProc load
	imagemask
} def
/XIImageTint {
	XIImageWidth XIImageHeight XIBitsPerPixel
	[XIImageWidth 0 0 XIImageHeight neg 0 0]
	/XIDataProc load
	XIType 3 eq XIColorValues XIColorSpace ci6tintimage
} def
/XIImage {
	XIImageWidth XIImageHeight XIBitsPerPixel
	[XIImageWidth 0 0 XIImageHeight neg 0 0]
	/XIDataProc load
	false XIChannelCount XIPlateList ci6drawimage
} def
/XG {
	pop pop
} def
/XF {
	13 {pop} repeat
} def
/Xh {
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIType exch def
		/XIImageHeight exch def
		/XIImageWidth exch def
		/XIImageMatrix exch def
		0 0 moveto
		XIImageMatrix concat
		XIImageWidth XIImageHeight scale
		
		/_lp /null ddef
		_fc
		/_lp /imagemask ddef
 end
} def
/XH {
	Adobe_ColorImage_AI6_Vars begin
		grestore
 end
} def
/XIEnable {
	Adobe_ColorImage_AI6_Vars /XIEnable 3 -1 roll put
} def
/XC {
	Adobe_ColorImage_AI6_Vars begin
		ci6colormake
		/XIColorSpace exch def
		/XIColorValues exch def
 end
} def
/XIPlates {
	Adobe_ColorImage_AI6_Vars begin
		/XIPlateList exch def
 end
} def
/XI
{
	Adobe_ColorImage_AI6_Vars begin
		gsave
		/XIType exch def
		cvi dup
		256 idiv /XICompression exch store
		256 mod /XIEncoding exch store
		pop pop
		/XIChannelCount exch def
		/XIBitsPerPixel exch def
		/XIImageHeight exch def
		/XIImageWidth exch def
		pop pop pop pop
		/XIImageMatrix exch def
		XIBitsPerPixel 1 eq {
			XIImageWidth 8 div ceiling cvi
		}{
			XIImageWidth XIChannelCount mul
		} ifelse
		/XIRowBytes exch def
		XIEnable {
			/XIBuffer3 XIImageWidth string def
			XICompression 0 eq {
				/XIBuffer1 XIRowBytes string def
				XIEncoding 0 eq {
					{currentfile XIBuffer1 readhexstring pop}
				}{
					{currentfile XIBuffer1 readstring pop}
				} ifelse
			}{
				/XIBuffer1 256 string def
				/XIBuffer2 XIRowBytes string def
				{currentfile XIBuffer1 readline pop (%) anchorsearch {pop} if}
				/ASCII85Decode filter /DCTDecode filter
				/XIFile exch def
				{XIFile XIBuffer2 readstring pop}
			} ifelse
			/XIDataProc exch def
			
			XIType 1 ne {
				0 setgray
			} if
			XIType 1 eq {
				XIImageMask
			}{
				XIType 2 eq XIType 3 eq or {
					XIImageTint
				}{
					XIImage
				} ifelse
			} ifelse
		}{
			XINullImage
		} ifelse
		/XIPlateList false def
		grestore
 end
} def
end
%%EndProcSet
%%BeginResource: procset Adobe_Illustrator_AI5 1.3 0
%%Title: (Adobe Illustrator (R) Version 8.0 Full Prolog)
%%Version: 1.3 0
%%CreationDate: (3/7/1994) ()
%%Copyright: ((C) 1987-1998 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_Illustrator_AI5_vars 112 dict dup begin
put
/_?cmyk false def
/_eo false def
/_lp /none def
/_pf
{
} def
/_ps
{
} def
/_psf
{
} def
/_pss
{
} def
/_pjsf
{
} def
/_pjss
{
} def
/_pola 0 def
/_doClip 0 def
/cf currentflat def
/_lineorientation 0 def
/_charorientation 0 def
/_yokoorientation 0 def
/_tm matrix def
/_renderStart
[
/e0 /r0 /a0 /o0 /e1 /r1 /a1 /i0
] def
/_renderEnd
[
null null null null /i1 /i1 /i1 /i1
] def
/_render -1 def
/_shift [0 0] def
/_ax 0 def
/_ay 0 def
/_cx 0 def
/_cy 0 def
/_leading
[
0 0
] def
/_ctm matrix def
/_mtx matrix def
/_sp 16#020 def
/_hyphen (-) def
/_fontSize 0 def
/_fontAscent 0 def
/_fontDescent 0 def
/_fontHeight 0 def
/_fontRotateAdjust 0 def
/Ss 256 string def
Ss 0 (fonts/) putinterval
/_cnt 0 def
/_scale [1 1] def
/_nativeEncoding 0 def
/_useNativeEncoding 0 def
/_tempEncode 0 def
/_pntr 0 def
/_tDict 2 dict def
/_hfname 100 string def
/_hffound false def
/Tx
{
} def
/Tj
{
} def
/CRender
{
} def
/_AI3_savepage
{
} def
/_gf null def
/_cf 4 array def
/_rgbf 3 array def
/_if null def
/_of false def
/_fc
{
} def
/_gs null def
/_cs 4 array def
/_rgbs 3 array def
/_is null def
/_os false def
/_sc
{
} def
/_pd 1 dict def
/_ed 15 dict def
/_pm matrix def
/_fm null def
/_fd null def
/_fdd null def
/_sm null def
/_sd null def
/_sdd null def
/_i null def
/_lobyte 0 def
/_hibyte 0 def
/_cproc null def
/_cscript 0 def
/_hvax 0 def
/_hvay 0 def
/_hvwb 0 def
/_hvcx 0 def
/_hvcy 0 def
/_bitfont null def
/_bitlobyte 0 def
/_bithibyte 0 def
/_bitkey null def
/_bitdata null def
/_bitindex 0 def
/discardSave null def
/buffer 256 string def
/beginString null def
/endString null def
/endStringLength null def
/layerCnt 1 def
/layerCount 1 def
/perCent (%) 0 get def
/perCentSeen? false def
/newBuff null def
/newBuffButFirst null def
/newBuffLast null def
/clipForward? false def
end
userdict /Adobe_Illustrator_AI5 known not {
	userdict /Adobe_Illustrator_AI5 100 dict put
} if
userdict /Adobe_Illustrator_AI5 get begin
/initialize
{
	Adobe_Illustrator_AI5 dup begin
	Adobe_Illustrator_AI5_vars begin
	/_aicmykps where {pop /_?cmyk _aicmykps def}if
	discardDict
	{
		bind pop pop
	} forall
	dup /nc get begin
	{
		dup xcheck 1 index type /operatortype ne and
		{
			bind
		} if
		pop pop
	} forall
 end
	newpath
} def
/terminate
{
 end
 end
} def
/_
null def
/ddef
{
	Adobe_Illustrator_AI5_vars 3 1 roll put
} def
/xput
{
	dup load dup length exch maxlength eq
	{
		dup dup load dup
		length 2 mul dict copy def
	} if
	load begin
	def
 end
} def
/npop
{
	{
		pop
	} repeat
} def
/hswj
{
	dup stringwidth 3 2 roll
	{
		_hvwb eq { exch _hvcx add exch _hvcy add } if
		exch _hvax add exch _hvay add
	} cforall
} def
/vswj
{
	0 0 3 -1 roll
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			dup cstring stringwidth 5 2 roll
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			4 -1 roll sub exch
			3 -1 roll sub exch
		}
		{
			_hvwb eq { exch _hvcy sub exch _hvcx sub } if
			exch _hvay sub exch _hvax sub
			_fontHeight sub
		} ifelse
	} cforall
} def
/swj
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hswj } { vswj } ifelse
} def
/sw
{
	0 0 0 6 3 roll swj
} def
/vjss
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			gsave
			false charpath currentpoint
			5 index setmatrix stroke
			grestore
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			gsave
			2 index false charpath
			6 index setmatrix stroke
			grestore
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjss
{
	4 1 roll
	{
		dup cstring
		gsave
		false charpath currentpoint
		5 index setmatrix stroke
		grestore
		moveto
		_sp eq
		{
			5 index 5 index rmoveto
		} if
		2 copy rmoveto
	} cforall
	6 npop
} def
/jss
{
	_lineorientation 0 eq { hjss } { vjss } ifelse
} def
/ss
{
	0 0 0 7 3 roll jss
} def
/vjsp
{
	4 1 roll
	{
		dup cstring
		dup length 1 eq
		_charorientation 1 eq
		and
		{
			-90 rotate
			currentpoint
			_fontRotateAdjust add
			moveto
			false charpath
            currentpoint
			_fontRotateAdjust sub
			moveto
			_sp eq
			{
				5 index 5 index rmoveto
			} if
			2 copy rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			5 index sub
			3 index _sp eq
			{
				9 index sub
			} if
	
			currentpoint
			exch 4 index stringwidth pop 2 div sub
			exch _fontAscent sub
			moveto
	
			2 index false charpath
	
			moveto pop pop
		} ifelse
	} cforall
	6 npop
} def
/hjsp
{
    4 1 roll
    {
        dup cstring
        false charpath
        _sp eq
        {
            5 index 5 index rmoveto
        } if
        2 copy rmoveto
    } cforall
    6 npop
} def
/jsp
{
	matrix currentmatrix
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/sp
{
    matrix currentmatrix
    0 0 0 7 3 roll
    _lineorientation 0 eq {hjsp} {vjsp} ifelse
} def
/pl
{
	transform
	0.25 sub round 0.25 add exch
	0.25 sub round 0.25 add exch
	itransform
} def
/setstrokeadjust where
{
	pop true setstrokeadjust
	/c
	{
		curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll curveto
	} def
	/V
	/v load def
	/y
	{
		2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		lineto
	} def
	/L
	/l load def
	/m
	{
		moveto
	} def
}
{
	/c
	{
		pl curveto
	} def
	/C
	/c load def
	/v
	{
		currentpoint 6 2 roll pl curveto
	} def
	/V
	/v load def
	/y
	{
		pl 2 copy curveto
	} def
	/Y
	/y load def
	/l
	{
		pl lineto
	} def
	/L
	/l load def
	/m
	{
		pl moveto
	} def
} ifelse
/d
{
	setdash
} def
/cf
{
} def
/i
{
	dup 0 eq
	{
		pop cf
	} if
	setflat
} def
/j
{
	setlinejoin
} def
/J
{
	setlinecap
} def
/M
{
	setmiterlimit
} def
/w
{
	setlinewidth
} def
/XR
{
	0 ne
	/_eo exch ddef
} def
/H
{
} def
/h
{
	closepath
} def
/N
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			_eo {eoclip} {clip} ifelse /_doClip 0 ddef
		} if
		newpath
	}
	{
		/CRender
		{
			N
		} ddef
	} ifelse
} def
/n
{
	N
} def
/F
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _pf grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _fc
			/_doClip 0 ddef
		}
		{
			_pf
		} ifelse
	}
	{
		/CRender
		{
			F
		} ddef
	} ifelse
} def
/f
{
	closepath
	F
} def
/S
{
	_pola 0 eq
	{
		_doClip 1 eq
		{
			gsave _ps grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			_ps
		} ifelse
	}
	{
		/CRender
		{
			S
		} ddef
	} ifelse
} def
/s
{
	closepath
	S
} def
/B
{
	_pola 0 eq
	{
		_doClip 1 eq
		gsave F grestore
		{
			gsave S grestore _eo {eoclip} {clip} ifelse newpath /_lp /none ddef _sc
			/_doClip 0 ddef
		}
		{
			S
		} ifelse
	}
	{
		/CRender
		{
			B
		} ddef
	} ifelse
} def
/b
{
	closepath
	B
} def
/W
{
	/_doClip 1 ddef
} def
/*
{
	count 0 ne
	{
		dup type /stringtype eq
		{
			pop
		} if
	} if
	newpath
} def
/u
{
} def
/U
{
} def
/q
{
	_pola 0 eq
	{
		gsave
	} if
} def
/Q
{
	_pola 0 eq
	{
		grestore
	} if
} def
/*u
{
	_pola 1 add /_pola exch ddef
} def
/*U
{
	_pola 1 sub /_pola exch ddef
	_pola 0 eq
	{
		CRender
	} if
} def
/D
{
	pop
} def
/*w
{
} def
/*W
{
} def
/`
{
	/_i save ddef
	clipForward?
	{
		nulldevice
	} if
	6 1 roll 4 npop
	concat pop
	userdict begin
	/showpage
	{
	} def
	0 setgray
	0 setlinecap
	1 setlinewidth
	0 setlinejoin
	10 setmiterlimit
	[] 0 setdash
	/setstrokeadjust where {pop false setstrokeadjust} if
	newpath
	0 setgray
	false setoverprint
} def
/~
{
 end
	_i restore
} def
/_rgbtocmyk
{
	3
	{
		1 exch sub 3 1 roll
	} repeat
	3 copy 1 4 1 roll
	3
	{
		3 index 2 copy gt
		{
			exch
		} if
		pop 4 1 roll
	} repeat
	pop pop pop
	4 1 roll
	3
	{
		3 index sub
		3 1 roll
	} repeat
	4 -1 roll
} def
/setrgbfill
{
	_rgbf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_rgbf aload pop setrgbcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/setrgbstroke
{
	_rgbs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_rgbs aload pop setrgbcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/O
{
	0 ne
	/_of exch ddef
	/_lp /none ddef
} def
/R
{
	0 ne
	/_os exch ddef
	/_lp /none ddef
} def
/g
{
	/_gf exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_gf setgray
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/G
{
	/_gs exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_gs setgray
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/k
{
	_cf astore pop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_cf aload pop setcmykcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/K
{
	_cs astore pop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_cs aload pop setcmykcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/Xa
{
	_?cmyk {
		3 npop k
	}{
		setrgbfill 4 npop
	} ifelse
} def
/XA
{
	_?cmyk {
		3 npop K
	}{
		setrgbstroke 4 npop
	} ifelse
} def
/Xs
{
	/_gf exch ddef
	5 npop
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_gf setAIseparationgray
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XS
{
	/_gs exch ddef
	5 npop
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_gs setAIseparationgray
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/Xx
{
	exch
	/_gf exch ddef
	0 eq {
		findcmykcustomcolor
	}{
		_?cmyk {true}{/findrgbcustomcolor where{pop false}{true}ifelse}ifelse
		{
			4 1 roll 3 npop
			findcmykcustomcolor
		}{
			8 -4 roll 4 npop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/XX
{
	exch
	/_gs exch ddef
	0 eq {
		findcmykcustomcolor
	}{
		_?cmyk {true}{/findrgbcustomcolor where{pop false}{true}ifelse}ifelse
		{
			4 1 roll 3 npop
			findcmykcustomcolor
		}{
			8 -4 roll 4 npop
			findrgbcustomcolor
		} ifelse
	} ifelse
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/x
{
	/_gf exch ddef
	findcmykcustomcolor
	/_if exch ddef
	/_fc
	{
		_lp /fill ne
		{
			_of setoverprint
			_if _gf 1 exch sub setcustomcolor
			/_lp /fill ddef
		} if
	} ddef
	/_pf
	{
		_fc
		_eo {eofill} {fill} ifelse
	} ddef
	/_psf
	{
		_fc
		hvashow
	} ddef
	/_pjsf
	{
		_fc
		hvawidthshow
	} ddef
	/_lp /none ddef
} def
/X
{
	/_gs exch ddef
	findcmykcustomcolor
	/_is exch ddef
	/_sc
	{
		_lp /stroke ne
		{
			_os setoverprint
			_is _gs 1 exch sub setcustomcolor
			/_lp /stroke ddef
		} if
	} ddef
	/_ps
	{
		_sc
		stroke
	} ddef
	/_pss
	{
		_sc
		ss
	} ddef
	/_pjss
	{
		_sc
		jss
	} ddef
	/_lp /none ddef
} def
/XK
{
	3 -1 roll pop
	0 eq
	{
		1 exch sub
		3 {dup 3 1 roll mul 5 1 roll} repeat
		mul 4 1 roll
		K
	}
	{
		1 exch sub 4 1 roll
		3 {1 exch sub 3 index mul 1 exch sub 3 1 roll} repeat
		4 -1 roll pop
		XA
	} ifelse
} def
/Xk
{
	3 -1 roll pop
	0 eq
	{
		1 exch sub
		3 {dup 3 1 roll mul 5 1 roll} repeat
		mul 4 1 roll
		k
	}
	{
		1 exch sub 4 1 roll
		3 {1 exch sub 3 index mul 1 exch sub 3 1 roll} repeat
		4 -1 roll pop
		Xa
	} ifelse
} def
/A
{
	pop
} def
/annotatepage
{
userdict /annotatepage 2 copy known {get exec} {pop pop} ifelse
} def
/XT {
	pop pop
} def
/Xt {
	pop
} def
/discard
{
	save /discardSave exch store
	discardDict begin
	/endString exch store
	gt38?
	{
		2 add
	} if
	load
	stopped
	pop
 end
	discardSave restore
} bind def
userdict /discardDict 7 dict dup begin
put
/pre38Initialize
{
	/endStringLength endString length store
	/newBuff buffer 0 endStringLength getinterval store
	/newBuffButFirst newBuff 1 endStringLength 1 sub getinterval store
	/newBuffLast newBuff endStringLength 1 sub 1 getinterval store
} def
/shiftBuffer
{
	newBuff 0 newBuffButFirst putinterval
	newBuffLast 0
	currentfile read not
	{
	stop
	} if
	put
} def
0
{
	pre38Initialize
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff endString eq
			{
				cleartomark stop
			} if
			shiftBuffer
		} loop
	}
	{
	stop
	} ifelse
} def
1
{
	pre38Initialize
	/beginString exch store
	mark
	currentfile newBuff readstring exch pop
	{
		{
			newBuff beginString eq
			{
				/layerCount dup load 1 add store
			}
			{
				newBuff endString eq
				{
					/layerCount dup load 1 sub store
					layerCount 0 eq
					{
						cleartomark stop
					} if
				} if
			} ifelse
			shiftBuffer
		} loop
	} if
} def
2
{
	mark
	{
		currentfile buffer {readline} stopped {
			% assume error was due to overfilling the buffer
		}{
			not
			{
				stop
			} if
			endString eq {
				cleartomark stop
			} if
		}ifelse
	} loop
} def
3
{
	/beginString exch store
	/layerCnt 1 store
	mark
	{
		currentfile buffer {readline} stopped {
			% assume error was due to overfilling the buffer
		}{
			not
			{
				stop
			} if
			dup beginString eq
			{
				pop /layerCnt dup load 1 add store
			}
			{
				endString eq
				{
					layerCnt 1 eq
					{
						cleartomark stop
					}
					{
						/layerCnt dup load 1 sub store
					} ifelse
				} if
			} ifelse
		}ifelse
	} loop
} def
end
userdict /clipRenderOff 15 dict dup begin
put
{
	/n /N /s /S /f /F /b /B
}
{
	{
		_doClip 1 eq
		{
			/_doClip 0 ddef _eo {eoclip} {clip} ifelse
		} if
		newpath
	} def
} forall
/Tr /pop load def
/Bb {} def
/BB /pop load def
/Bg {12 npop} def
/Bm {6 npop} def
/Bc /Bm load def
/Bh {4 npop} def
end
/Lb
{
	6 npop
	7 2 roll
	5 npop
	0 eq
	{
		0 eq
		{
			(%AI5_BeginLayer) 1 (%AI5_EndLayer--) discard
		}
		{
			
			/clipForward? true def
			
			/Tx /pop load def
			/Tj /pop load def
			
			currentdict end clipRenderOff begin begin
		} ifelse
	}
	{
		0 eq
		{
			save /discardSave exch store
		} if
	} ifelse
} bind def
/LB
{
	discardSave dup null ne
	{
		restore
	}
	{
		pop
		clipForward?
		{
			currentdict
		 end
		 end
		 begin
					
			/clipForward? false ddef
		} if
	} ifelse
} bind def
/Pb
{
	pop pop
	0 (%AI5_EndPalette) discard
} bind def
/Np
{
	0 (%AI5_End_NonPrinting--) discard
} bind def
/Ln /pop load def
/Ap
/pop load def
/Ar
{
	72 exch div
	0 dtransform dup mul exch dup mul add sqrt
	dup 1 lt
	{
		pop 1
	} if
	setflat
} def
/Mb
{
	q
} def
/Md
{
} def
/MB
{
	Q
} def
/nc 4 dict def
nc begin
/setgray
{
	pop
} bind def
/setcmykcolor
{
	4 npop
} bind def
/setrgbcolor
{
	3 npop
} bind def
/setcustomcolor
{
	2 npop
} bind def
currentdict readonly pop
end
/XP
{
	4 npop
} bind def
/XD
{
	pop
} bind def
end
setpacking
%%EndResource
%%BeginResource: procset Adobe_cshow 2.0 8
%%Title: (Writing System Operators)
%%Version: 2.0 8
%%CreationDate: (1/23/89) ()
%%Copyright: ((C) 1992-1996 Adobe Systems Incorporated All Rights Reserved)
currentpacking true setpacking
userdict /Adobe_cshow 14 dict dup begin put
/initialize
{
	Adobe_cshow begin
	Adobe_cshow
	{
		dup xcheck
		{
			bind
		} if
		pop pop
	} forall
 end
	Adobe_cshow begin
} def
/terminate
{
currentdict Adobe_cshow eq
	{
 end
	} if
} def
/cforall
{
	/_lobyte 0 ddef
	/_hibyte 0 ddef
	/_cproc exch ddef
	/_cscript currentfont /FontScript known { currentfont /FontScript get } { -1 } ifelse ddef
	{
		/_lobyte exch ddef
		_hibyte 0 eq
		_cscript 1 eq
		_lobyte 129 ge _lobyte 159 le and
		_lobyte 224 ge _lobyte 252 le and or and
		_cscript 2 eq
		_lobyte 161 ge _lobyte 254 le and and
		_cscript 3 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript 25 eq
		_lobyte 161 ge _lobyte 254 le and and
    	_cscript -1 eq
		or or or or and
		{
			/_hibyte _lobyte ddef
		}
		{
			_hibyte 256 mul _lobyte add
			_cproc
			/_hibyte 0 ddef
		} ifelse
	} forall
} def
/cstring
{
	dup 256 lt
	{
		(s) dup 0 4 3 roll put
	}
	{
		dup 256 idiv exch 256 mod
		(hl) dup dup 0 6 5 roll put 1 4 3 roll put
	} ifelse
} def
/clength
{
	0 exch
	{ 256 lt { 1 } { 2 } ifelse add } cforall
} def
/hawidthshow
{
	{
		dup cstring
		show
		_hvax _hvay rmoveto
		_hvwb eq { _hvcx _hvcy rmoveto } if
	} cforall
} def
/vawidthshow
{
	{
		dup 255 le
		_charorientation 1 eq
		and
		{
			-90 rotate
			0 _fontRotateAdjust rmoveto
			cstring
			_hvcx _hvcy _hvwb _hvax _hvay 6 -1 roll awidthshow
			0 _fontRotateAdjust neg rmoveto
			90 rotate
		}
		{
			currentpoint
			_fontHeight sub
			exch _hvay sub exch _hvax sub
			2 index _hvwb eq { exch _hvcy sub exch _hvcx sub } if
			3 2 roll
			cstring
			dup stringwidth pop 2 div neg _fontAscent neg rmoveto
			show
			moveto
		} ifelse
	} cforall
} def
/hvawidthshow
{
	6 1 roll
	/_hvay exch ddef
	/_hvax exch ddef
	/_hvwb exch ddef
	/_hvcy exch ddef
	/_hvcx exch ddef
	_lineorientation 0 eq { hawidthshow } { vawidthshow } ifelse
} def
/hvwidthshow
{
	0 0 3 -1 roll hvawidthshow
} def
/hvashow
{
	0 0 0 6 -3 roll hvawidthshow
} def
/hvshow
{
	0 0 0 0 0 6 -1 roll hvawidthshow
} def
currentdict readonly pop end
setpacking
%%EndResource
%%BeginResource: procset Adobe_shading_AI8 1.0 0
%%Title: (Adobe Illustrator 8 Shading Procset)
%%Version: 1.0 0
%%CreationDate: (12/17/97) ()
%%Copyright: ((C) 1987-1997 Adobe Systems Incorporated All Rights Reserved)
userdict /defaultpacking currentpacking put true setpacking
userdict /Adobe_shading_AI8 10 dict dup begin put
/initialize {
	Adobe_shading_AI8 begin
	Adobe_shading_AI8 bdprocs
	Mesh /initialize get exec
} def
/terminate {
	currentdict Adobe_shading_AI8 eq {
	 end
	} if
} def
/bdprocs {
	{
		dup xcheck 1 index type /arraytype eq and {
			bind
		} if
		pop pop
	} forall
} def
/X! {pop} def
/X# {pop pop} def
/Mesh 40 dict def
Mesh begin
/initialize {
	Mesh bdprocs
	Mesh begin
		/emulate? /AI8MeshEmulation where {
			pop AI8MeshEmulation
		}{
			systemdict /shfill known not
		} ifelse def
 end
} def
/bd {
	shadingdict begin
} def
/paint {
	emulate? {
	 end
	}{
		/_lp /none ddef _fc /_lp /none ddef
		
		/AIColorSpace AIColorSpace tocolorspace store
		/ColorSpace AIColorSpace topsspace store
		
		version_ge_3010.106 not systemdict /setsmoothness known and {
			0.0001 setsmoothness
		} if
		
		composite? {
			/DataSource getdatasrc def
			Matrix concat
			currentdict end
			shfill
		}{
			AIColorSpace makesmarks AIPlateList markingplate and not isoverprint and {
			 end
			}{
				/ColorSpace /DeviceGray store
				/Decode [0 1 0 1 0 1] store
				/DataSource getplatesrc def
				Matrix concat
				currentdict end
				shfill
			} ifelse
		} ifelse
	} ifelse
} def
/shadingdict 12 dict def
shadingdict begin
	/ShadingType 6 def
	/BitsPerCoordinate 16 def
	/BitsPerComponent 8 def
	/BitsPerFlag 8 def
end
/datafile null def
/databuf 256 string def
/dataptr 0 def
/srcspace null def
/srcchannels 0 def
/dstchannels 0 def
/dstplate 0 def
/srctodstcolor null def
/getplatesrc {
	/srcspace AIColorSpace store
	/srcchannels AIColorSpace getnchannels store
	/dstchannels 1 store
	/dstplate getplateindex store
	/srctodstcolor srcspace makesmarks {
		dstplate 4 eq {
			{1 exch sub}
		}{
			{srcspace tocmyk 3 dstplate sub index 1 exch sub 5 1 roll 4 {pop} repeat}
		} ifelse
	}{
		{srcchannels {pop} repeat 1}
	} ifelse store
	/datafile getdatasrc store
	/rdpatch168 load DataLength () /SubFileDecode filter
} def
/getdatasrc {
	/rdcmntline load /ASCII85Decode filter
} def
/rdpatch168 {
	/dataptr 0 store
	49 rdcount
	4 {
		dup {pop srcchannels getint8} if
		dup {pop srctodstcolor dstchannels putint8 true} if
	} repeat
	{databuf 0 dataptr getinterval}{()} ifelse
} def
/rdpatch3216 {
	/dataptr 0 store
	97 rdcount
	4 {
		dup {pop srcchannels getint16} if
		dup {pop srctodstcolor dstchannels putint16 true} if
	} repeat
	{databuf 0 dataptr getinterval}{()} ifelse
} def
/rdcount {
	dup 0 gt {
		datafile databuf dataptr 4 -1 roll getinterval readstring
		exch length dataptr add /dataptr exch store
	}{
		true
	} ifelse
} def
/getint8 {
	mark true 3 -1 roll
	{
		dup {pop datafile read} if
		dup {pop 255 div true} if
	} repeat
	{
		counttomark 1 add -1 roll pop true
	}{
		cleartomark false
	} ifelse
} def
/putint8 {
	dup dataptr add /dataptr exch store
	dataptr exch
	{
		1 sub exch
		255 mul cvi
		databuf 2 index
		3 -1 roll put
	} repeat
	pop
} def 
/getint16 {
	mark true 3 -1 roll
	{
		dup {pop datafile read} if
		dup {pop 256 mul datafile read} if
		dup {pop add 65535 div true} if
	} repeat
	{
		counttomark 1 add -1 roll pop true
	}{
		cleartomark false
	} ifelse
} def
/putint16 {
	dup 2 mul dataptr add /dataptr exch store
	dataptr exch
	{
		2 sub exch
		65535 mul cvi dup
		256 idiv databuf 3 index 3 -1 roll put
		256 mod databuf 2 index 1 add 3 -1 roll put
	} repeat
	pop
} def 
/srcbuf 256 string def
/rdcmntline {
	currentfile srcbuf readline pop
	(%) anchorsearch {pop} if
} def
/getplateindex {
	0 [cyan? magenta? yellow? black? customColor?] {{exit} if 1 add} forall
} def
/aicsarray 4 array def
/aicsaltvals 4 array def
/aicsaltcolr aicsaltvals def
/tocolorspace {
	dup type /arraytype eq {
		mark exch aload pop
		aicsarray 0 3 -1 roll put
		aicsarray 1 3 -1 roll put
		dup aicsarray 2 3 -1 roll put
		gettintxform aicsarray 3 3 -1 roll put
		counttomark aicsaltvals 0 3 -1 roll getinterval /aicsaltcolr exch store
		aicsaltcolr astore pop pop
		aicsarray
	} if
} def
/subtintxform {aicsaltcolr {1 index mul exch} forall pop} def
/addtintxform {aicsaltcolr {1 sub 1 index mul 1 add exch} forall pop} def
/gettintxform {
	/DeviceRGB eq {/addtintxform}{/subtintxform} ifelse load
} def
/getnchannels {
	dup type /arraytype eq {0 get} if
	colorspacedict exch get begin Channels end
} def
/makesmarks {
	composite? {
		pop true
	}{
		dup dup type /arraytype eq {0 get} if
		colorspacedict exch get begin MarksPlate end
	} ifelse
} def
/markingplate {
	composite? {
		pop true
	}{
		dup type /arraytype eq {
			dup length getplateindex gt {getplateindex get}{pop false} ifelse
		} if
	} ifelse
} def
/tocmyk {
	dup dup type /arraytype eq {0 get} if
	colorspacedict exch get begin ToCMYK end
} def
/topsspace {
	dup dup type /arraytype eq {0 get} if
	colorspacedict exch get begin ToPSSpace end
} def
/colorspacedict 5 dict dup begin
	/DeviceGray 4 dict dup begin
		/Channels 1 def
		/MarksPlate {pop black?} def
		/ToCMYK {pop 1 exch sub 0 0 0 4 -1 roll} def
		/ToPSSpace {} def
 end def
	/DeviceRGB 4 dict dup begin
		/Channels 3 def
		/MarksPlate {pop isCMYKSep?} def
		/ToCMYK {pop _rgbtocmyk} def
		/ToPSSpace {} def
 end def
	/DeviceCMYK 4 dict dup begin
		/Channels 4 def
		/MarksPlate {pop isCMYKSep?} def
		/ToCMYK {pop} def
		/ToPSSpace {} def
 end def
	/Separation 4 dict dup begin
		/Channels 1 def
		/MarksPlate {
			/findcmykcustomcolor where {
				pop dup 1 exch ToCMYK 5 -1 roll 1 get
				findcmykcustomcolor 1 setcustomcolor
				systemdict /currentgray get exec
				1 ne
			}{
				pop false
			} ifelse
		} def
		/ToCMYK {
			dup 2 get mark exch 4 2 roll
			3 get exec
			counttomark -1 roll tocmyk
			5 -1 roll pop
		} def
		/ToPSSpace {} def
 end def
	/Process 4 dict dup begin
		/Channels 1 def
		/MarksPlate {
			isCMYKSep? {
				1 exch ToCMYK 4 array astore getplateindex get 0 ne 
			}{
				pop false
			} ifelse
		} def
		/ToCMYK {
			dup 2 get mark exch 4 2 roll
			3 get exec
			counttomark -1 roll tocmyk
			5 -1 roll pop
		} def
		/ToPSSpace {
			4 array copy dup 0 /Separation put
		} def
 end def
end def
/isoverprint {
	/currentoverprint where {pop currentoverprint}{_of} ifelse
} def
/version_ge_3010.106 {
   version {cvr} stopped {
      pop
      false
   }{
      3010.106 ge
   } ifelse
} def
end
end
defaultpacking setpacking
%%EndResource
%%EndProlog
%%BeginSetup
userdict /_useSmoothShade false put
userdict /_aicmykps true put
userdict /_forceToCMYK true put
Adobe_level2_AI5 /initialize get exec
Adobe_cshow /initialize get exec
Adobe_ColorImage_AI6 /initialize get exec
Adobe_shading_AI8 /initialize get exec
Adobe_Illustrator_AI5 /initialize get exec
%AI5_Begin_NonPrinting
Np
%AI3_BeginPattern: (DblLinje1.2.inre)
(DblLinje1.2.inre) 1 1 39.2705 39.2706 [
%AI3_Tile
(0 O 0 R 1 0.14 0.09 0 k
 1 0.14 0.09 0 K
) @
(
%AI6_BeginPatternLayer
800 Ar
0 J 0 j 1 w 4 M []0 d
%AI3_Note:
0 D
0 XR
39.2702 22.175 m
39.2702 13.6108 L
26.66 13.6108 L
26.66 1.0003 L
18.0958 1.0003 L
18.0948 22.175 L
18.0958 22.175 L
18.0958 22.1752 L
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%_0 1 1 0 1 50 0 Bs
0 1 1 0 1 50 0.005 %_BS
%_0 1 1 0 1 50 0 Bs
0 1 1 0 1 50 12.4975 %_BS
%_0 1 1 0 1 50 12.5 Bs
0 0 0 0 1 50 12.5025 %_BS
%_0 0 0 0 1 50 12.5 Bs
0 0 0 0 1 50 24.9975 %_BS
%_0 0 0 0 1 50 25 Bs
0 1 1 0 1 50 25.0025 %_BS
%_0 1 1 0 1 50 25 Bs
0 1 1 0 1 50 37.4975 %_BS
%_0 1 1 0 1 50 37.5 Bs
0 0 0 0 1 50 37.5025 %_BS
%_0 0 0 0 1 50 37.5 Bs
0 0 0 0 1 50 49.9975 %_BS
%_0 0 0 0 1 50 50 Bs
0 1 1 0 1 50 50.0025 %_BS
%_0 1 1 0 1 50 50 Bs
0 1 1 0 1 50 62.4975 %_BS
%_0 1 1 0 1 50 62.5 Bs
0 0 0 0 1 50 62.5025 %_BS
%_0 0 0 0 1 50 62.5 Bs
0 0 0 0 1 50 74.9975 %_BS
%_0 0 0 0 1 50 75 Bs
0 1 1 0 1 50 75.0025 %_BS
%_0 1 1 0 1 50 75 Bs
0 1 1 0 1 50 87.4975 %_BS
%_0 1 1 0 1 50 87.5 Bs
0 0 0 0 1 50 87.5025 %_BS
%_0 0 0 0 1 50 87.5 Bs
0 0 0 0 1 50 99.995 %_BS
%_0 0 0 0 1 50 100 Bs
0 1 1 0 1 50 100 %_BS
%_0 1 1 0 1 50 100 Bs
BD
%AI5_EndGradient
%AI5_End_NonPrinting--
%AI5_BeginPalette
0 0 Pb
1 1 1 1 ([Passm\212rke]) 0 Xs
([Passm\212rke]) Pc
0 0 0 0 k
(C=0 M=0 Y=0 K=0) Pc
0 0 0 1 k
(C=0 M=0 Y=0 K=100) Pc
0 0.45 0.6 0 k
(C=0 M=45 Y=60 K=0) Pc
0 0.5 0.05 0 k
(C=0 M=50 Y=5 K=0) Pc
0 0.9 1 0 k
(C=0 M=90 Y=100 K=0) Pc
1 0.2 1 0 k
(C=100 M=20 Y=100 K=0) Pc
1 0.4 0.15 0 k
(C=100 M=40 Y=15 K=0) Pc
0.2 0 1 0 k
(C=20 M=0 Y=100 K=0) Pc
0.25 1 0.25 0 k
(C=25 M=100 Y=25 K=0) Pc
0.4 0.4 0.4 0 k
(C=40 M=40 Y=40 K=0) Pc
0.4 0.7 1 0 k
(C=40 M=70 Y=100 K=0) Pc
0.75 0.9 0 0 k
(C=75 M=90 Y=0 K=0) Pc
1 0 0.55 0 (Havsbl\214) 0 x
(Havsbl\214) Pc
1 0.5 0 0 (Bl\214) 0 x
(Bl\214) Pc
0.5 0.4 0.3 0 (Bl\214gr\214) 0 x
(Bl\214gr\214) Pc
0.8 0.05 0 0 (Himmelsbl\214) 0 x
(Himmelsbl\214) Pc
0.5 0.85 1 0 (Brun) 0 x
(Brun) Pc
1 0.9 0.1 0 (M\232rkbl\214) 0 x
(M\232rkbl\214) Pc
1 0.55 1 0 (Skogsgr\232n) 0 x
(Skogsgr\232n) Pc
0.05 0.2 0.95 0 (Guld) 0 x
(Guld) Pc
0.75 0.05 1 0 (Gr\212sgr\232n) 0 x
(Gr\212sgr\232n) Pc
0 0.45 1 0 (Orange) 0 x
(Orange) Pc
0.15 1 1 0 (R\232d) 0 x
(R\232d) Pc
0.45 0.9 0 0 (Violett) 0 x
(Violett) Pc
Bb
2 (Svart, vit) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Svart, vit) Pc
Bb
2 (Krom) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Krom) Pc
Bb
2 (Gr\232nbl\214) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Gr\232nbl\214) Pc
Bb
2 (Orange, gr\232n, violett) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Orange, gr\232n, violett) Pc
Bb
2 (Rosa, gul, gr\232n) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Rosa, gul, gr\232n) Pc
Bb
2 (Lila, r\232d, gul) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Lila, r\232d, gul) Pc
Bb
2 (Regnb\214ge) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Regnb\214ge) Pc
Bb
2 (St\214lr\232r) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(St\214lr\232r) Pc
Bb
0 0 0 0 Bh
2 (Vit & r\232d radiell) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Vit & r\232d radiell) Pc
Bb
0 0 0 0 Bh
2 (Gul & orange radiell) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Gul & orange radiell) Pc
Bb
0 0 0 0 Bh
2 (Gul & lila radiell) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Gul & lila radiell) Pc
Bb
2 (Gul, violett, orange, bl\214) -4337.75 4412.25 0 0 1 0 0 1 0 0 Bg
0 BB
(Gul, violett, orange, bl\214) Pc
(Pil1.2.ut/in) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.ut/in) Pc
(Pil1.2.sida) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.sida) Pc
(Tegelv\212gg\012  5) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Tegelv\212gg\012  5) Pc
(Schackrutor) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor) Pc
(Konfetti) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Konfetti) Pc
(DblLinje1.2.inre) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.inre) Pc
(DblLinje1.2.yttre) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.yttre) Pc
(DblLinje1.2.sida) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.sida) Pc
(Diamanter) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter) Pc
(Sexh\232rning) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Sexh\232rning) Pc
(Lagerbl.inre) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.inre) Pc
(Lagerbl.yttre) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.yttre) Pc
(Lagerbl.sida) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.sida) Pc
(Fallande l\232v) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fallande l\232v) Pc
(Prickm\232nster) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster) Pc
(Slumpm\212ssiga cirklar) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Slumpm\212ssiga cirklar) Pc
(Rep.sida) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rep.sida) Pc
(Fj\212ll) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fj\212ll) Pc
(Helstj\212rna.sida) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Helstj\212rna.sida) Pc
(Stj\212rnor) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor) Pc
(R\212nder) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(R\212nder) Pc
(Listprofil.yttre) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.yttre) Pc
(Listprofil.sida) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.sida) Pc
(V\214gor-genomskinliga) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(V\214gor-genomskinliga) Pc
(Schackrutor\012 11) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012 11) Pc
(Diamanter\012 11) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012 11) Pc
(Prickm\232nster\012 11) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012 11) Pc
(Stj\212rnor\012 11) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012 11) Pc
(Schackrutor\012 10) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012 10) Pc
(Diamanter\012 10) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012 10) Pc
(Prickm\232nster\012 10) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012 10) Pc
(Stj\212rnor\012 10) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012 10) Pc
(Pil1.2.ut/in\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.ut/in\012  4) Pc
(Pil1.2.sida\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.sida\012  4) Pc
(Tegelv\212gg\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Tegelv\212gg\012  4) Pc
(Schackrutor\012  9) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  9) Pc
(Konfetti\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Konfetti\012  4) Pc
(DblLinje1.2.inre\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.inre\012  4) Pc
(DblLinje1.2.yttre\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.yttre\012  4) Pc
(DblLinje1.2.sida\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.sida\012  4) Pc
(Diamanter\012  9) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  9) Pc
(Sexh\232rning\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Sexh\232rning\012  4) Pc
(Lagerbl.inre\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.inre\012  4) Pc
(Lagerbl.yttre\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.yttre\012  4) Pc
(Lagerbl.sida\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.sida\012  4) Pc
(Fallande l\232v\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fallande l\232v\012  4) Pc
(Prickm\232nster\012  9) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  9) Pc
(Slumpm\212ssiga cirklar\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Slumpm\212ssiga cirklar\012  4) Pc
(Rep.sida\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rep.sida\012  4) Pc
(Fj\212ll\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fj\212ll\012  4) Pc
(Helstj\212rna.sida\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Helstj\212rna.sida\012  4) Pc
(Stj\212rnor\012  9) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  9) Pc
(R\212nder\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(R\212nder\012  4) Pc
(Listprofil.yttre\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.yttre\012  4) Pc
(Listprofil.sida\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.sida\012  4) Pc
(V\214gor-genomskinliga\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(V\214gor-genomskinliga\012  4) Pc
(Schackrutor\012  8) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  8) Pc
(Diamanter\012  8) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  8) Pc
(Prickm\232nster\012  8) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  8) Pc
(Stj\212rnor\012  8) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  8) Pc
(Schackrutor\012  7) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  7) Pc
(Diamanter\012  7) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  7) Pc
(Prickm\232nster\012  7) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  7) Pc
(Stj\212rnor\012  7) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  7) Pc
(Pil1.2.ut/in\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.ut/in\012  3) Pc
(Pil1.2.sida\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.sida\012  3) Pc
(Tegelv\212gg\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Tegelv\212gg\012  3) Pc
(Schackrutor\012  6) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  6) Pc
(Konfetti\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Konfetti\012  3) Pc
(DblLinje1.2.inre\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.inre\012  3) Pc
(DblLinje1.2.yttre\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.yttre\012  3) Pc
(DblLinje1.2.sida\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.sida\012  3) Pc
(Diamanter\012  6) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  6) Pc
(Sexh\232rning\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Sexh\232rning\012  3) Pc
(Lagerbl.inre\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.inre\012  3) Pc
(Lagerbl.yttre\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.yttre\012  3) Pc
(Lagerbl.sida\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.sida\012  3) Pc
(Fallande l\232v\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fallande l\232v\012  3) Pc
(Prickm\232nster\012  6) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  6) Pc
(Slumpm\212ssiga cirklar\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Slumpm\212ssiga cirklar\012  3) Pc
(Rep.sida\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rep.sida\012  3) Pc
(Fj\212ll\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fj\212ll\012  3) Pc
(Helstj\212rna.sida\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Helstj\212rna.sida\012  3) Pc
(Stj\212rnor\012  6) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  6) Pc
(R\212nder\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(R\212nder\012  3) Pc
(Listprofil.yttre\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.yttre\012  3) Pc
(Listprofil.sida\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.sida\012  3) Pc
(V\214gor-genomskinliga\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(V\214gor-genomskinliga\012  3) Pc
(Schackrutor\012  5) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  5) Pc
(Diamanter\012  5) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  5) Pc
(Prickm\232nster\012  5) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  5) Pc
(Stj\212rnor\012  5) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  5) Pc
(Schackrutor\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  4) Pc
(Diamanter\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  4) Pc
(Prickm\232nster\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  4) Pc
(Stj\212rnor\012  4) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  4) Pc
(Pil1.2.ut/in\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.ut/in\012  2) Pc
(Pil1.2.sida\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.sida\012  2) Pc
(Tegelv\212gg\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Tegelv\212gg\012  2) Pc
(Schackrutor\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  3) Pc
(Konfetti\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Konfetti\012  2) Pc
(DblLinje1.2.inre\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.inre\012  2) Pc
(DblLinje1.2.yttre\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.yttre\012  2) Pc
(DblLinje1.2.sida\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.sida\012  2) Pc
(Diamanter\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  3) Pc
(Sexh\232rning\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Sexh\232rning\012  2) Pc
(Lagerbl.inre\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.inre\012  2) Pc
(Lagerbl.yttre\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.yttre\012  2) Pc
(Lagerbl.sida\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Lagerbl.sida\012  2) Pc
(Fallande l\232v\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fallande l\232v\012  2) Pc
(Prickm\232nster\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  3) Pc
(Slumpm\212ssiga cirklar\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Slumpm\212ssiga cirklar\012  2) Pc
(Rep.sida\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Rep.sida\012  2) Pc
(Fj\212ll\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Fj\212ll\012  2) Pc
(Helstj\212rna.sida\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Helstj\212rna.sida\012  2) Pc
(Stj\212rnor\012  3) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  3) Pc
(R\212nder\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(R\212nder\012  2) Pc
(Listprofil.yttre\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.yttre\012  2) Pc
(Listprofil.sida\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Listprofil.sida\012  2) Pc
(V\214gor-genomskinliga\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(V\214gor-genomskinliga\012  2) Pc
(Schackrutor\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  2) Pc
(Diamanter\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Diamanter\012  2) Pc
(Prickm\232nster\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Prickm\232nster\012  2) Pc
(Stj\212rnor\012  2) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Stj\212rnor\012  2) Pc
(Pil1.2.ut/in\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.ut/in\012  1) Pc
(Pil1.2.sida\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Pil1.2.sida\012  1) Pc
(Tegelv\212gg\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Tegelv\212gg\012  1) Pc
(Schackrutor\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Schackrutor\012  1) Pc
(Konfetti\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(Konfetti\012  1) Pc
(DblLinje1.2.inre\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.inre\012  1) Pc
(DblLinje1.2.yttre\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.yttre\012  1) Pc
(DblLinje1.2.sida\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
(DblLinje1.2.sida\012  1) Pc
(Diamanter\012  1) 0 0 1 1 0 0 0 0 0 [1 0 0 1 0 0] p
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f
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f
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f
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f
*U
u
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f
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u
u
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-87.2925 -5.5371 -87.3428 -10.2871 -87.3428 -15.0376 c
-87.3428 -21.7378 -84.2427 -26.4883 -76.792 -26.4883 c
-72.7417 -26.4883 -67.5913 -24.1382 -67.5913 -18.4878 c
-67.5913 -12.5874 L
-67.5913 -6.687 -68.0415 -0.7866 -68.0415 1.7134 c
-68.0415 3.1133 -69.3916 4.0635 -70.5918 4.2134 c
-70.5918 5.3135 L
-68.7915 5.3135 -67.2646 5.1138 -65.4648 5.1138 c
-63.6646 5.1138 -62.3145 5.3135 -60.5142 5.3135 c
-60.5142 4.2134 L
-62.1646 4.1636 -62.8643 2.2134 -62.8643 0.5132 c
-62.8643 -1.3867 -63.0146 -6.5869 -63.0146 -13.1875 c
-63.0146 -24.0884 L
-63.0146 -26.8882 -62.4644 -28.3384 -60.2642 -28.4883 c
-60.2642 -29.5884 L
-61.6646 -29.5884 -63.1147 -29.3887 -64.5146 -29.3887 c
-65.9146 -29.3887 -66.5415 -29.5884 -67.9414 -29.5884 c
-67.8413 -27.8882 -67.6914 -26.3384 -67.5913 -24.8384 c
-71.2417 -28.2383 -74.1011 -30.1885 -79.2012 -30.1885 c
-85.2686 -30.1885 -91.9521 -25.9385 -91.9521 -18.438 c
-91.9521 -10.0874 L
-91.9521 -6.187 -92.2021 -2.7368 -92.2021 0.3633 c
-92.2021 2.3135 -92.5518 3.9136 -94.6523 4.2134 C
-94.6523 5.3135 l
f
*U
LB
%AI5_EndLayer--
%%PageTrailer
gsave annotatepage grestore showpage
%%Trailer
Adobe_Illustrator_AI5 /terminate get exec
Adobe_shading_AI8 /terminate get exec
Adobe_ColorImage_AI6 /terminate get exec
Adobe_cshow /terminate get exec
Adobe_level2_AI5 /terminate get exec
%%EOF
pythia8-8.1.86.orig/xmldoc/OniaProcesses.xml0000444000175000017500000004741112357055025017135 0ustar  sunsun 
 

      Onia Processes
       
 
Production of any 3S1, 3PJ, and 3DJ charmonium
and bottomonium states via the colour-singlet and colour-octet
mechanisms. This includes by default, but is not limited to, production of
the 3S1 J/psi and Upsilon and their
radially excited states, as well as the 3PJ chi
states and the 3D1 psi(3770). In each process the
heavy quark content, either ccbar or bbbar, is
followed by a round-bracketed expression which specifies the physical
state in spectroscopic notation, (2S+1) L J. Proceding this
is a square-bracketed expression, also in spectroscopic notation,
which specifies the Fock state through which the process occurs,
where (1) indicates a colour-singlet state and (8) a
colour-octet state.


       The unphysical colour-octet states follow the id
scheme of 99 n_q n_s n_r n_L n_J where n_q is the
quark flavour of the state and n_s is the colour-octet state
type. Here 0 is 3S1, 1 is 1S0,
and 2 is 3PJ. All remaining numbers follow the
standard PDG numbering scheme. If a physical state is requested
without a corresponding colour-octet state, a colour-octet state is
automatically added to the ParticleData
when a colour-octet process is selected. The colour-octet state is
created with a mass given by the mass of the physical state plus the
singlet-octet mass splitting parameter Onia:massSplit,
which is by default set at 200 MeV, and decays exclusively
to a gluon and the physical state. If the user wishes to manually
set the mass splitting for each colour-octet state individually
then Onia:forceMassSplit can be set to off.
By default the widths of the octet states are set to vanish. 
This is not realistic, given their presumably rather rapid decay,
but a nonvanishing width is not likely to have any measurable 
consequences that go beyond what comes from viewing the singlet-octet
mass splitting as an effective parameter.


       
The original Fortran code for these processes has been contributed 
by Stefan Wolf [unpublished]. For the C++ version only the unpolarized 
expressions are retained, since the theoretical predictions of the 
colour-octet model anyway do not agree with the experimental 
observations. Furthermore, the polarization effects are modest, 
so isotropic decay is not a bad starting point. Such an event sample 
can afterwards be reweighted at will by the user, to test various 
assumptions. The expressions for the colour-singlet production of
the 3S1 and 3PJ states can be found
in Bai83 and Gas87. Colour-octet expressions can
be found in Cho96 for the 1S0, 3S1,
and 3PJ states, and the matrix elements for the 3DJ
states are taken from Yua98. 
 

      
The implementation of charmonium and bottomonium production, including
the colour-octet production mechanism, requires information on
long-distance NRQCD matrix elements for the various wavefunctions
involved. Default values for these are encoded in the O
parameters and are taken from Nas00; see
also Bar07. The 3DJ long-distance matrix elements
are extracted from Yua98.


      
Note that states that differ only by the radial excitation number 
n_r share the same short-dinstence matrix elements. The
program has therefore been written such that further radial excitations
can be easily added by editing this file, without requiring a recompilation 
of the code. All related arrays must be expanded in exactly the same way,
however, i.e. the code of the colour singlet state, the long-distance
matrix elements and the individual process on/off switches. 


       
The description of 
final-state radiation 
is in this case based on some further model assumptions. 
 

       
Most of the processes below are divergent in the limit pT → 0, 
and therefore a pTmin scale should be set. Comparisons with 
data indicate that this divergence can be tamed the same way as for 
the normal QCD 2 → 2 cross sections Bar07,Kra08, 
which makes sense, since they are all dominated by the same kind of 
t-channel gluon exchange. It is therefore possible to use the 
SuppressSmallPT user hook to impose a 
reweighting that cancels the low-pT divergence. 
 

       
An eikonalized description of these processes is included in the 
multiparton-interactions framework. Here the low-pT dampening 
is automatic, and additionally the framework is more consistent 
(e.g. with respect to energy-momentum constraints and the 
impact-parameter description) for events where the onium production 
is not the hardest subprocess, as would often be the case in the 
low-pT limit. 


Force the mass splitting between the colour-singlet states and their
corresponding colour-octet state to be Onia:massSplit.
 

 
Mass splitting in GeV between the physical colour-singlet
states and their corresponding colour-octet state.
 

 
Common switch for the group of onia production. 
 
 
Common switch for the group of 3S1 onia production,
e.g. J/psi and Upsilon.
 
 
Common switch for the group of 3PJ onia production,
e.g. chi_c and chi_b.
 
 
Common switch for the group of 3DJ onia production,
e.g. psi(3770).
 
 
Common switch for the group of charmonium production,
e.g. J/psi and chi_c.
 
 
Common switch for the group of bottomonium production,
e.g. Upsilon and chi_b.
 


      Charmonium 3S1 States
       


The 3S1 charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.



The colour-singlet long-distance matrix
elements <O[3S1(1)]> for the 3S1 charmonium states.



The colour-octet long-distance matrix
elements <O[3S1(8)]> for the 3S1 charmonium states.
 
 

The colour-octet long-distance matrix
elements <O[1S0(8)]> for the 3S1
charmonium states.

 

The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3S1 charmonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.

 
 
Colour-singlet production of 3S1 charmonium states via 
g g → ccbar[3S1(1)] g.
Code 401. 


 
Colour-octet production of 3S1 charmonium states via
g g → ccbar[3S1(8)] g.
Code 402.
 

 
Colour-octet production of 3S1 charmonium states via
q g → ccbar[3S1(8)] q. 
Code 403.
 
 
 
Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[3S1(8)] g. 
Code 404.
 

 
Colour-octet production of 3S1 charmonium states via
g g → ccbar[1S0(8)] g. 
Code 405.
 
 
 
Colour-octet production of 3S1 charmonium states via
q g → ccbar[1S0(8)] q.
Code 406.
 
 
 
Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[1S0(8)] g. 
Code 407.
 
 
 
Colour-octet production of 3S1 charmonium states via
g g → ccbar[3PJ(8)] g. 
Code 408.
 
 

Colour-octet production of 3S1 charmonium states via
q g → ccbar[3PJ(8)] q. 
Code 409.
 
  

Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[3SJ(8)] g. 
Code 410.
 


      Charmonium 3PJ States
       


The 3PJ charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.



The color-singlet long-distance matrix elements 
<O[3P0(1)]>/m_Q^2 for the 3PJ charmonium
states. The remaining <O[3PJ(1)]>/m_Q^2
are calculated from these long-distance matrix elements.



The color-singlet long-distance matrix elements 
<O[3S1(8)]> for the 3PJ charmonium states.


 
Colour-singlet production of 3PJ charmonium states via
g g → ccbar[3PJ(1)] g. 
Code 411.
 

 
Colour-singlet production of 3PJ charmonium states via
q g → ccbar[3PJ(1)] q. 
Code 412.
 

 
Colour-singlet production of 3PJ charmonium states via
q qbar → ccbar[3PJ(1)] g. 
Code 413.


 
Colour-octet production of 3PJ charmonium states via
g g → ccbar[3S1(8)] g. 
Code 414.
 

 
Colour-octet production of 3PJ charmonium states via
q g → ccbar[3S1(8)] q. 
Code 415.
 

 
Colour-octet production of 3PJ charmonium states via
q qbar → ccbar[3S1(8)] g. 
Code 416.



      Charmonium 3DJ States
       


The 3DJ charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.



The color-singlet long-distance matrix elements 
<O[3D1(1)]> for the 3PJ charmonium
states. For a 3DJ charmonium state where J is
not 1 the long distance matrix
element <O[3DJ(1)]> is calculated
by (2J+1)<O[3D1(1)]/3> using leading order spin symmetry
relations.



The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3DJ charmonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.


 
Colour-singlet production of 3PJ charmonium states via
g g → ccbar[3DJ(1)] g. 
Code 417.
 

 
Colour-octet production of 3DJ charmonium states via
g g → ccbar[3PJ(8)] g. 
Code 418.
 
 

Colour-octet production of 3DJ charmonium states via
q g → ccbar[3PJ(8)] q. 
Code 419.
 
  

Colour-octet production of 3DJ charmonium states via
q qbar → ccbar[3PJ(8)] g. 
Code 420.



      Bottomonium 3S1 States
       


The 3S1 bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.



The colour-singlet long-distance matrix
elements <O[3S1(1)]> for the 3S1 bottomonium states.



The colour-octet long-distance matrix
elements <O[3S1(8)]> for the 3S1 bottomonium states.
 
 

The colour-octet long-distance matrix
elements <O[1S0(8)]> for the 3S1
bottomonium states.

 

The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3S1 bottomonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.

 
 
Colour-singlet production of 3S1 bottomonium states via 
g g → bbbar[3S1(1)] g.
Code 501. 


 
Colour-octet production of 3S1 bottomonium states via
g g → bbbar[3S1(8)] g.
Code 502.
 

 
Colour-octet production of 3S1 bottomonium states via
q g → bbbar[3S1(8)] q. 
Code 503.
 
 
 
Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[3S1(8)] g. 
Code 504.
 

 
Colour-octet production of 3S1 bottomonium states via
g g → bbbar[1S0(8)] g. 
Code 505.
 
 
 
Colour-octet production of 3S1 bottomonium states via
q g → bbbar[1S0(8)] q.
Code 506.
 
 
 
Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[1S0(8)] g. 
Code 507.
 
 
 
Colour-octet production of 3S1 bottomonium states via
g g → bbbar[3PJ(8)] g. 
Code 508.
 
 

Colour-octet production of 3S1 bottomonium states via
q g → bbbar[3PJ(8)] q. 
Code 509.
 
  

Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[3SJ(8)] g. 
Code 510.
 


      Bottomonium 3PJ States
       


The 3PJ bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.



The color-singlet long-distance matrix elements 
<O[3P0(1)]>/m_Q^2 for the 3PJ bottomonium
states. The remaining <O[3PJ(1)]>/m_Q^2
are calculated from these long-distance matrix elements.



The color-singlet long-distance matrix elements 
<O[3S1(8)]> for the 3PJ bottomonium states.


 
Colour-singlet production of 3PJ bottomonium states via
g g → bbbar[3PJ(1)] g. 
Code 511.
 

 
Colour-singlet production of 3PJ bottomonium states via
q g → bbbar[3PJ(1)] q. 
Code 512.
 

 
Colour-singlet production of 3PJ bottomonium states via
q qbar → bbbar[3PJ(1)] g. 
Code 513.


 
Colour-octet production of 3PJ bottomonium states via
g g → bbbar[3S1(8)] g. 
Code 514.
 

 
Colour-octet production of 3PJ bottomonium states via
q g → bbbar[3S1(8)] q. 
Code 515.
 

 
Colour-octet production of 3PJ bottomonium states via
q qbar → bbbar[3S1(8)] g. 
Code 516.



      Bottomonium 3DJ States
       


The 3DJ bottomonium states that can be produced from the following
processes. Currently, no 3DJ states are included in the
default ParticleData and so none are included here. Note
that all vectors within this section, either of flags or parameters,
must be the same length as this vector.



The color-singlet long-distance matrix elements 
<O[3D1(1)]> for the 3PJ bottomonium
states. For a 3DJ bottomonium state where J is
not 1 the long distance matrix
element <O[3DJ(1)]> is calculated
by (2J+1)<O[3D1(1)]/3> using leading order spin symmetry
relations.



The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3DJ bottomonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.


 
Colour-singlet production of 3PJ bottomonium states via
g g → bbbar[3DJ(1)] g. 
Code 517.
 

 
Colour-octet production of 3DJ bottomonium states via
g g → bbbar[3PJ(8)] g. 
Code 518.
 
 

Colour-octet production of 3DJ bottomonium states via
q g → bbbar[3PJ(8)] q. 
Code 519.
 
  

Colour-octet production of 3DJ bottomonium states via
q qbar → bbbar[3PJ(8)] g. 
Code 520.


       
 
 
 
pythia8-8.1.86.orig/xmldoc/cteq6l.tbl0000444000175000017500000065536412357055015015552 0ustar  sunsun Parton Distribution Table : cteq6l                                           
  Ordr, Nfl, lambda        Qmass 1,  2,  3,         4,  5,  6
    2.    5. 0.2260    0.000    0.000    0.200    1.300    4.500  180.000
   NX,  NT,  NfMx
   95   19    5
QINI, QMAX, (QV(I), I =0, NT)
 1.30000E+00 1.00000E+04
 1.30000E+00 1.53106E+00 1.83098E+00 2.22659E+00 2.75766E+00 3.48439E+00
 4.50000E+00 6.12359E+00 8.60159E+00 1.25127E+01 1.89184E+01 2.98475E+01
 4.93546E+01 8.59491E+01 1.58477E+02 3.11214E+02 6.55142E+02 1.48904E+03
 3.68299E+03 1.00000E+04
XMIN, (XV(I), I =0, NX)
 1.00000E-06
 0.00000E+00 1.00000E-06 1.28121E-06 1.64152E-06 2.10317E-06 2.69463E-06
 3.45242E-06 4.42329E-06 5.66715E-06 7.26076E-06 9.30241E-06 1.19180E-05
 1.52689E-05 1.95617E-05 2.50609E-05 3.21053E-05 4.11287E-05 5.26863E-05
 6.74889E-05 8.64459E-05 1.10720E-04 1.41800E-04 1.81585E-04 2.32503E-04
 2.97652E-04 3.80981E-04 4.87518E-04 6.26039E-04 8.00452E-04 1.02297E-03
 1.30657E-03 1.66759E-03 2.12729E-03 2.71054E-03 3.44865E-03 4.37927E-03
 5.54908E-03 7.01192E-03 8.83064E-03 1.10763E-02 1.38266E-02 1.71641E-02
 2.11717E-02 2.59364E-02 3.15062E-02 3.79623E-02 4.53425E-02 5.36750E-02
 6.29705E-02 7.32221E-02 8.44039E-02 9.64793E-02 1.09332E-01 1.23067E-01
 1.37507E-01 1.52639E-01 1.68416E-01 1.84794E-01 2.01731E-01 2.19016E-01
 2.36948E-01 2.55242E-01 2.73927E-01 2.92954E-01 3.12340E-01 3.32036E-01
 3.52019E-01 3.72282E-01 3.92772E-01 4.13533E-01 4.34326E-01 4.55495E-01
 4.76836E-01 4.98342E-01 5.20006E-01 5.41818E-01 5.63773E-01 5.85861E-01
 6.08077E-01 6.30459E-01 6.52800E-01 6.75387E-01 6.98063E-01 7.20830E-01
 7.43683E-01 7.66623E-01 7.89636E-01 8.12791E-01 8.35940E-01 8.59175E-01
 8.82485E-01 9.05866E-01 9.29311E-01 9.52817E-01 9.76387E-01 1.00000E+00
Parton Distribution Table:
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00   0.00000E+00
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   2.94862E-03   1.82914E-03   1.08157E-03   6.04215E-04   3.13904E-04
   1.49574E-04   6.35243E-05   2.31309E-05   6.79292E-06   1.44628E-06
   1.87165E-07   9.34375E-09   0.00000E+00   2.25964E+07   1.66624E+07
   1.20185E+07   8.66495E+06   6.24346E+06   4.49596E+06   3.23558E+06
   2.32707E+06   1.67258E+06   1.20138E+06   8.62357E+05   6.18583E+05
   4.43416E+05   3.17630E+05   2.27366E+05   1.62638E+05   1.16255E+05
   8.30408E+04   5.92746E+04   4.22810E+04   3.01394E+04   2.14705E+04
   1.52861E+04   1.08769E+04   7.73586E+03   5.49913E+03   3.90920E+03
   2.76413E+03   1.96554E+03   1.39830E+03   9.95533E+02   7.09623E+02
   5.06409E+02   3.62259E+02   2.59966E+02   1.87352E+02   1.35697E+02
   9.89078E+01   7.26424E+01   5.38290E+01   4.02962E+01   3.05091E+01
   2.33841E+01   1.81482E+01   1.42804E+01   1.13783E+01   9.17701E+00
   7.48475E+00   6.16546E+00   5.12240E+00   4.28668E+00   3.60821E+00
   3.05383E+00   2.59061E+00   2.20404E+00   1.87799E+00   1.60135E+00
   1.36558E+00   1.16358E+00   9.91842E-01   8.42632E-01   7.14754E-01
   6.04653E-01   5.09975E-01   4.28437E-01   3.58406E-01   2.98400E-01
   2.47074E-01   2.03437E-01   1.66270E-01   1.35133E-01   1.08731E-01
   8.66941E-02   6.84195E-02   5.33819E-02   4.11170E-02   3.12177E-02
   2.33223E-02   1.71190E-02   1.22992E-02   8.65744E-03   5.92450E-03
   3.93561E-03   2.52572E-03   1.55662E-03   9.14092E-04   5.06920E-04
   2.61289E-04   1.23459E-04   5.19645E-05   1.87453E-05   5.45582E-06
   1.15444E-06   1.50207E-07   7.86118E-09   0.00000E+00   2.80921E+07
   2.06547E+07   1.48457E+07   1.06652E+07   7.65705E+06   5.49378E+06
   3.93907E+06   2.82241E+06   2.02091E+06   1.44600E+06   1.03389E+06
   7.38694E+05   5.27389E+05   3.76243E+05   2.68209E+05   1.91048E+05
   1.35980E+05   9.67098E+04   6.87275E+04   4.88042E+04   3.46308E+04
   2.45556E+04   1.73999E+04   1.23215E+04   8.72024E+03   6.16782E+03
   4.36224E+03   3.06819E+03   2.17022E+03   1.53558E+03   1.08726E+03
   7.70673E+02   5.46845E+02   3.88928E+02   2.77477E+02   1.98797E+02
   1.43139E+02   1.03721E+02   7.57354E+01   5.58014E+01   4.15412E+01
   3.12831E+01   2.38541E+01   1.84217E+01   1.44278E+01   1.14442E+01
   9.19040E+00   7.46444E+00   6.12378E+00   5.06753E+00   4.22415E+00
   3.54179E+00   2.98617E+00   2.52356E+00   2.13890E+00   1.81564E+00
   1.54241E+00   1.31043E+00   1.11243E+00   9.44738E-01   7.99617E-01
   6.75734E-01   5.69498E-01   4.78511E-01   4.00472E-01   3.33723E-01
   2.76769E-01   2.28262E-01   1.87198E-01   1.52373E-01   1.23329E-01
   9.88126E-02   7.84448E-02   6.16347E-02   4.78700E-02   3.66998E-02
   2.77306E-02   2.06154E-02   1.50556E-02   1.07598E-02   7.53298E-03
   5.12584E-03   3.38497E-03   2.15889E-03   1.32185E-03   7.70856E-04
   4.24349E-04   2.17006E-04   1.01675E-04   4.24137E-05   1.51588E-05
   4.37340E-06   9.20031E-07   1.20373E-07   6.59110E-09   0.00000E+00
   3.46845E+07   2.54290E+07   1.82138E+07   1.30389E+07   9.32803E+06
   6.66862E+06   4.76403E+06   3.40093E+06   2.42604E+06   1.72931E+06
   1.23171E+06   8.76609E+05   6.23384E+05   4.42946E+05   3.14477E+05
   2.23082E+05   1.58116E+05   1.11974E+05   7.92315E+04   5.60160E+04
   3.95706E+04   2.79308E+04   1.96999E+04   1.38844E+04   9.77917E+03
   6.88287E+03   4.84372E+03   3.38929E+03   2.38494E+03   1.67863E+03
   1.18217E+03   8.33374E+02   5.88055E+02   4.15887E+02   2.95026E+02
   2.10164E+02   1.50459E+02   1.08405E+02   7.87106E+01   5.76739E+01
   4.27050E+01   3.19929E+01   2.42741E+01   1.86569E+01   1.45457E+01
   1.14875E+01   9.18654E+00   7.43095E+00   6.07206E+00   5.00506E+00
   4.15594E+00   3.47122E+00   2.91558E+00   2.45456E+00   2.07259E+00
   1.75276E+00   1.48344E+00   1.25563E+00   1.06193E+00   8.98515E-01
   7.57643E-01   6.37862E-01   5.35553E-01   4.48283E-01   3.73737E-01
   3.10240E-01   2.56288E-01   2.10532E-01   1.71966E-01   1.39401E-01
   1.12362E-01   8.96417E-02   7.08544E-02   5.54228E-02   4.28489E-02
   3.26965E-02   2.45869E-02   1.81880E-02   1.32153E-02   9.39478E-03
   6.54155E-03   4.42592E-03   2.90542E-03   1.84151E-03   1.12012E-03
   6.48673E-04   3.54457E-04   1.79834E-04   8.35511E-05   3.45436E-05
   1.22332E-05   3.49924E-06   7.32121E-07   9.63293E-08   5.50779E-09
   0.00000E+00   4.25184E+07   3.10854E+07   2.21893E+07   1.58302E+07
   1.12854E+07   8.03952E+06   5.72287E+06   4.07065E+06   2.89315E+06
   2.05461E+06   1.45791E+06   1.03364E+06   7.32209E+05   5.18232E+05
   3.66465E+05   2.58911E+05   1.82759E+05   1.28887E+05   9.08134E+04
   6.39284E+04   4.49627E+04   3.15957E+04   2.21841E+04   1.55632E+04
   1.09102E+04   7.64210E+03   5.35189E+03   3.72603E+03   2.60868E+03
   1.82668E+03   1.27971E+03   8.97346E+02   6.29778E+02   4.42961E+02
   3.12499E+02   2.21377E+02   1.57609E+02   1.12930E+02   8.15506E+01
   5.94364E+01   4.37820E+01   3.26358E+01   2.46431E+01   1.88534E+01
   1.46343E+01   1.15088E+01   9.16594E+00   7.38481E+00   6.01080E+00
   4.93546E+00   4.08249E+00   3.39689E+00   2.84241E+00   2.38392E+00
   2.00539E+00   1.68959E+00   1.42462E+00   1.20136E+00   1.01222E+00
   8.53279E-01   7.16792E-01   6.01198E-01   5.02858E-01   4.19311E-01
   3.48238E-01   2.87949E-01   2.36939E-01   1.93863E-01   1.57711E-01
   1.27318E-01   1.02195E-01   8.11816E-02   6.38865E-02   4.97487E-02
   3.82856E-02   2.90769E-02   2.17595E-02   1.60165E-02   1.15781E-02
   8.18716E-03   5.66956E-03   3.81402E-03   2.48880E-03   1.56758E-03
   9.47223E-04   5.44715E-04   2.95451E-04   1.48712E-04   6.85122E-05
   2.80753E-05   9.85268E-06   2.79487E-06   5.81763E-07   7.69839E-08
   4.58765E-09   0.00000E+00   5.17469E+07   3.77291E+07   2.68417E+07
   1.90847E+07   1.35591E+07   9.62587E+06   6.82814E+06   4.83962E+06
   3.42736E+06   2.42514E+06   1.71450E+06   1.21102E+06   8.54623E+05
   6.02554E+05   4.24435E+05   2.98684E+05   2.09990E+05   1.47489E+05
   1.03491E+05   7.25471E+04   5.08068E+04   3.55475E+04   2.48486E+04
   1.73542E+04   1.21099E+04   8.44287E+03   5.88468E+03   4.07688E+03
   2.84030E+03   1.97893E+03   1.37932E+03   9.62199E+02   6.71750E+02
   4.69975E+02   3.29782E+02   2.32366E+02   1.64543E+02   1.17270E+02
   8.42394E+01   6.10801E+01   4.47678E+01   3.32096E+01   2.49603E+01
   1.90112E+01   1.46941E+01   1.15084E+01   9.12922E+00   7.32661E+00
   5.94056E+00   4.85925E+00   4.00426E+00   3.31922E+00   2.76701E+00
   2.31196E+00   1.93756E+00   1.62633E+00   1.36617E+00   1.14776E+00
   9.63434E-01   8.09126E-01   6.77136E-01   5.65790E-01   4.71442E-01
   3.91610E-01   3.23975E-01   2.66840E-01   2.18702E-01   1.78225E-01
   1.44402E-01   1.16090E-01   9.27929E-02   7.33951E-02   5.75047E-02
   4.45776E-02   3.41479E-02   2.58118E-02   1.92223E-02   1.40784E-02
   1.01249E-02   7.12137E-03   4.90445E-03   3.28038E-03   2.12776E-03
   1.33176E-03   7.99399E-04   4.56488E-04   2.45762E-04   1.22722E-04
   5.60651E-05   2.27725E-05   7.92042E-06   2.22855E-06   4.61663E-07
   6.14428E-08   3.80923E-09   0.00000E+00   6.25296E+07   4.54694E+07
   3.22426E+07   2.28491E+07   1.61794E+07   1.14472E+07   8.09236E+06
   5.71581E+06   4.03367E+06   2.84402E+06   2.00341E+06   1.40993E+06
   9.91317E+05   6.96313E+05   4.88615E+05   3.42525E+05   2.39870E+05
   1.67807E+05   1.17273E+05   8.18716E+04   5.70984E+04   3.97804E+04
   2.76877E+04   1.92523E+04   1.33745E+04   9.28208E+03   6.43976E+03
   4.44015E+03   3.07860E+03   2.13452E+03   1.48042E+03   1.02754E+03
   7.13709E+02   4.96758E+02   3.46767E+02   2.43061E+02   1.71222E+02
   1.21401E+02   8.67635E+01   6.25977E+01   4.56589E+01   3.37129E+01
   2.52254E+01   1.91306E+01   1.47256E+01   1.14872E+01   9.07704E+00
   7.25699E+00   5.86193E+00   4.77694E+00   3.92170E+00   3.23861E+00
   2.68975E+00   2.23897E+00   1.86937E+00   1.56323E+00   1.30824E+00
   1.09498E+00   9.15674E-01   7.66144E-01   6.38736E-01   5.31679E-01
   4.41327E-01   3.65185E-01   3.00940E-01   2.46895E-01   2.01553E-01
   1.63589E-01   1.32003E-01   1.05680E-01   8.41167E-02   6.62447E-02
   5.16730E-02   3.98758E-02   3.04047E-02   2.28733E-02   1.69510E-02
   1.23527E-02   8.83799E-03   6.18294E-03   4.23471E-03   2.81609E-03
   1.81561E-03   1.12922E-03   6.73325E-04   3.81794E-04   2.04023E-04
   1.01073E-04   4.57886E-05   1.84357E-05   6.35563E-06   1.77418E-06
   3.65893E-07   4.89765E-08   3.15322E-09   0.00000E+00   7.50322E+07
   5.44191E+07   3.84653E+07   2.71709E+07   1.91768E+07   1.35231E+07
   9.52788E+06   6.70697E+06   4.71691E+06   3.31422E+06   2.32642E+06
   1.63143E+06   1.14291E+06   7.99857E+05   5.59192E+05   3.90525E+05
   2.72441E+05   1.89854E+05   1.32159E+05   9.18951E+04   6.38288E+04
   4.42859E+04   3.06942E+04   2.12517E+04   1.46993E+04   1.01562E+04
   7.01457E+03   4.81400E+03   3.32229E+03   2.29259E+03   1.58240E+03
   1.09297E+03   7.55399E+02   5.23147E+02   3.63350E+02   2.53401E+02
   1.77608E+02   1.25301E+02   8.91113E+01   6.39835E+01   4.64526E+01
   3.41451E+01   2.54387E+01   1.92124E+01   1.47296E+01   1.14458E+01
   9.01014E+00   7.17661E+00   5.77549E+00   4.68907E+00   3.83528E+00
   3.15544E+00   2.61095E+00   2.16524E+00   1.80106E+00   1.50046E+00
   1.25101E+00   1.04316E+00   8.69044E-01   7.24405E-01   6.01641E-01
   4.98895E-01   4.12525E-01   3.40035E-01   2.79122E-01   2.28093E-01
   1.85461E-01   1.49920E-01   1.20478E-01   9.60497E-02   7.61283E-02
   5.96929E-02   4.63558E-02   3.56101E-02   2.70260E-02   2.02346E-02
   1.49221E-02   1.08196E-02   7.70101E-03   5.35856E-03   3.64979E-03
   2.41307E-03   1.54638E-03   9.55691E-04   5.66056E-04   3.18711E-04
   1.69046E-04   8.30822E-05   3.73247E-05   1.48974E-05   5.09126E-06
   1.41035E-06   2.89644E-07   3.89911E-08   2.60245E-09   0.00000E+00
pythia8-8.1.86.orig/xmldoc/SemiInternalProcesses.xml0000444000175000017500000007474512357055027020655 0ustar  sunsun 
 

      Semi-Internal Processes
       
 
Normally users are expected to implement new processes via the 
Les Houches Accord. Then 
you do all flavour, colour and phase-space selection externally, 
before your process-level events are input for further processing 
by PYTHIA. However, it is also possible to implement a 
new process in exactly the same way as the internal PYTHIA 
ones, thus making use of the internal phase space selection machinery 
to sample an externally provided cross-section expression. 
The MadGraph 5 program Alw11 allows you to do exactly that, 
i.e. it can be used to generate C++ code that can be linked into 
the existing PYTHIA framework, see 
here. 
 

       
Should you decide to go ahead on your own, 
this page gives a brief summary how to do that. If you additionally 
want to introduce a new resonance species, with its own internal 
width calculations, you will find further instructions 
here. It is strongly 
recommended to shop around for a similar process that has already 
been implemented, and to use that existing code as a template. 
Look for processes with the same combinations of incoming flavours 
and colour flows, rather than the shape of the cross section itself. 
With a reasonable such match the task should be of medium difficulty, 
without it more demanding. 
 

       
PYTHIA is rather good at handling the phase space of 
2 → 1 and 2 → 2 processes, is more primitive for 
2 → 3 ones and does not at all address higher multiplicities. 
This limits the set of processes that you can implement in this 
framework. The produced particles may be resonances, however, so it is 
possible to end up with bigger "final" multiplicities through sequential 
decays, and to include further matrix-element weighting in those decays. 
 

       
There are three steps involved in implementing a process: 

         

      1. making use of the PYTHIA-provided kinematics information to 
calculate the relevant cross section,
        2.  

      2. writing a new class,  where the matrix elements are implemented, 
including information on incoming and outgoing flavours and colours, 
and
        3.  

      3. making the process available.
        4.  

       
We consider these aspects in turn. An example where it all comes 
together is found in main22.cc. 
 

      The Cross Section Calculation
       
 
The key method for the cross section calculation is 
SigmaProcess::sigmaHat(), described below. At the point when 
it is called, the kinematics has already been set up, and from these 
phase space variables the differential cross section is to be calculated. 
 

       
For a 2 → 1 process, the returned value should be 
sigmaHat(sHat), where mH (= mHat), 
sH (= sHat) and sH2 (= sHat^2) 
are available to be used. Incoming partons are massless. Overload the 
convertM2() method below if you instead plan to return 
|M|^2. 
 

       
For a 2 → 2 process, instead d(sigmaHat)/d(tHat) 
should be returned, based on provided 
mH, sH, sH2, tH, tH2, uH, uH2, m3, s3, m4, s4 and 
pT2 values (s3 = m3*m3 etc.). Incoming 
partons are massless. Overload the convertM2() method 
below if you instead plan to return |M|^2. 
 

       
For a 2 → 3 process, instead |M|^2 should be 
returned, with normalization such that |M|^2 / (2 sHat) integrated 
over the three-body phase space gives the cross section. Here no standard 
set of Mandelstam-style variables exists. Instead the obvious ones, 
mH, sH, m3, s3, m4, s4, m5, s5, are complemented by the 
four-vectors p3cm, p4cm, p5cm, from which further invariants 
may be calculated. The four-vectors are defined in the CM frame of the 
subcollision, with massless incoming partons along the +-z axis. 
 

       
In either case, alpha_s and alpha_em have already 
been calculated, and are stored in alpS and alpEM. 
Also other standard variables may be used, like 
CoupEW::sin2thetaW(), and related flavour-dependent 
vector and axial couplings in CoupEW and CKM combinations 
in VCKM. 
 

       
In case some of the final-state particles are resonances, their 
squared masses have already been selected according to a Breit-Wigner 
with a linearly running width Gamma(m) = Gamma(m_0) * m / m_0. 
More precisely, the mass spectrum is weighted according to 
w_BW(m^2) d(m^2), where 
 
w_BW(m^2) = (1/pi) * (m * Gamma(m)) / ( (m^2 - m_0^2)^2 + (m * Gamma(m))^2 ) . 
 
If you would like to have another expression, the above weights are stored 
in runBW3, runBW4 and runBW5, 
respectively. If you divide out one of these factors, you just remain with 
a phase space selection d(m^2) for this particle, 
and can multiply on your desired shape factor instead. Unfortunately, the 
Monte Carlo efficiency will drop if your new mass distribution differs 
dramatically from the input one. Therefore it does make sense to adjust the 
database value of the width to be slightly (but not too much) broader 
than the distribution you have in mind. Also note that, already by default, 
the wings of the Breit-Wigner are oversampled (with a compensating lower 
internal weight) by partly sampling like (a + b/m^2 + c/m^4) d(m^2), 
where the last term is only used for gamma^*/Z^0. 
 

       
As alternative to the kinematics variables defined above, also the two 
arrays mME[5] and pME[5], for masses and 
four-momenta, respectively, can be used for cross-section calculations. 
Here indices 0 and 1 are the two incoming beams, and 2 and onwards the 
outgoing particles. Note that this differs by one step from the normal 
internal labeling, where slot 0 is left empty. The four-momenta are 
defined in the rest frame of the subcollision, with the incoming partons 
along the +-z direction. The kinematics need not agree with the 
"correct" one stored in the event record, for three reasons. 

      1) Gauge invariance forces matrix-element calculations to use 
the same masses for incoming as outgoing legs of a particle species, 
say b quarks. Therefore the kinematics of the two incoming 
partons is recalculated, relative to the normal event record, to put 
the partons on the mass shell. (Note that initial masses is a technical 
issue, not the correct physics picture: the incoming partons are likely 
to be spacelike virtual rather than on the mass shell.) 

      2) In principle each fermion flavour has to be treated separately, 
owing to a different mass. However, in many cases fermions can be 
assumed massless, which speeds up the calculations, and further gains 
occur if then different flavours can use the same cross-section 
expression. In MadGraph the default is that fermions up to and including 
the c quark and the mu lepton are considered massless, 
while the b quark and the tau lepton are considered 
massive. This can be modified however, and below we provide four flags 
that can be used to consider the "borderline" fermions either as 
massless or as massive when matrix elements are evaluated, to match the 
assumptions made for the matrix elements themselves. 

      3) For 2 → 2 and 2 → 3 processes of massive 
identical particles (or antiparticles) in the final state, such as 
t tbar or W^+ W^-, the kinematics is here adjusted 
so that the two or three particles have the same mass, formed as a 
suitable average of the actual Breit-Wigner-distributed masses. This 
allows the evaluation of matrix-element expressions that only have 
meaning if the two/three have the same mass. 

      Thus the mass array mME[5] and the four-momentum array 
pME[5] present values both for initial- and final-state 
particles based on these mass principles suited for matrix-element input. 
Note that these variables therefore differ from the kinematics stored in 
the event record proper, where incoming fermions are always massless and 
outgoing resonances have independent Breit-Wigner mass distributions. 

      The conversion from the normal to the special kinematics is done 
by calling the setupForME() method. This you have to do 
yourself in the SigmaHat() member of your derived class. 
Alternatively it could be done in SigmaKin(), i.e. before 
the loop over incoming flavours, but then these would be considered 
massless. The identity of final-state particles is obtained from the 
id3Mass(), id4Mass() and id5Mass() 
methods. Should the conversion to mME[5] and 
pME[5] not work, setupForME() will return 
false, and then the cross section should be put zero. 
 
 
Let the c quark be massive or not in the kinematics set up for 
external matrix-element evaluation. 
 
 
 
Let the b quark be massive or not in the kinematics set up for 
external matrix-element evaluation. 
 
 
 
Let the mu lepton be massive or not in the kinematics set up for 
external matrix-element evaluation. 
 
 
 
Let the tau lepton be massive or not in the kinematics set up for 
external matrix-element evaluation. 
 
 
 

      The Cross Section Class
       
 
The matrix-element information has to be encoded in a new class. 
The relevant code could either be put before the main program in the 
same file, or be stored separately, e.g. in a matched pair 
of .h and .cc files. The latter may be more 
convenient, in particular if the cross sections are lengthy, or if you 
intend to build up your own little process library, but of course 
requires that these additional files are correctly compiled and linked. 
 

       
The class has to be derived either from 
Sigma1Process, for 2 → 1 processes, from 
Sigma2Process, for 2 → 2 ones, or from 
Sigma3Process, for 2 → 3 ones. (The 
Sigma0Process class is used for elastic, diffractive 
and minimum-bias events, and is not recommended for use beyond that.) 
These are in their turn derived from the SigmaProcess 
base class. 
 

       
The class can implement a number of methods. Some of these are 
compulsory, others strongly recommended, and the rest are to be 
used only when the need arises to override the default behaviour. 
The methods are: 
 

       
A constructor for the derived class obviously must be available. 
Here you are quite free to allow a list of arguments, to set 
the parameters of your model, or even to create a set of closely 
related but distinct processes. For instance, g g → Q Qbar, 
Q = c or b, is only coded once, and then the 
constructor takes the quark code (4 or 5)  as argument, 
to allow the proper amount of differentiation. 
 

       
A destructor is only needed if you plan to delete the process 
before the natural end of the run, and require some special behaviour 
at that point. If you call such a destructor you will leave a pointer 
dangling inside the Pythia object you gave it in to, 
if that still exists. 
 
 
is called once during initialization, and can then be used to set up 
parameters, such as masses and couplings, and perform calculations 
that need not be repeated for each new event, thereby saving time. 
This method needs not be implemented, since in principle all 
calculations can be done in sigmaHat below. 
 
 
 
is called once a kinematical configuration has been determined, but 
before the two incoming flavours are known. This routine can therefore 
be used to perform calculations that otherwise might have to be repeated 
over and over again in sigmaHat below. For instance 
a flavour-independent cross section calculation for a q g 
initial state would be repeated 20 times in sigmaHat, 
five times for the five quark flavours allowed in the incoming beams, 
times twice to include antiquarks, times twice since the (anti)quark 
could be in either of the two beams. You could therefore calculate the 
result once only and store it as a private data member of the class. 
It is optional whether you want to use this method, however, or put 
everything in sigmaHat. 
 
 
 
is the key method for cross section calculations and returns a cross section 
value, as described in the previous section. It is called when also a 
preliminary set of incoming flavours has been picked, in addition to the 
kinematical ones already available for sigmaKin. 
Typically sigmaHat is called inside a loop over all allowed 
incoming flavour combinations, stored in id1 and 
id2, with fixed kinematics, as already illustrated above. 
The sum over the different flavour combinations provides the total 
cross section, while their relative size is used to make a selection of 
a specific incoming state. 
 
 
 
to be called by the user from inside sigmaHat() 
(or possibly sigmaKin()) to setup alternative kinematics 
in the mME[5] and pME[5] arrays, better 
suited for matrix-element calculations. See the end of the previous 
section for a more detailed description. Should the method return 
false then the conversion did not work, and 
sigmaHat() (or sigmaKin()) should be set to 
vanish. 
 
 
 
is called only once an initial state and a kinematical configuration has 
been picked. This routine must set the complete flavour information and 
the colour flow of the process. This may involve further random choices, 
between different possible final-state flavours or between possible 
competing colour flows. Private data members of the class may be used to 
retain some information from the previous steps above. 

      When this routine is called the two incoming flavours have already 
been selected and are available in id1 and id2, 
whereas the one, two or three outgoing ones either are fixed for a given 
process or can be determined from the instate (e.g. whether a W^+ 
or W^- was produced).  There is also a standard method in 
VCKM to pick a final flavour from an initial one with CKM 
mixing. Once you have figured out the value of 
id3 and, the case being, id4 and 
id5, you store these values permanently by a call 
setId( id1, id2, id3, id4, id5), where the last two may be 
omitted if irrelevant. 

      Correspondingly, the colours are stored with 
setColAcol( col1, acol1, col2, acol2, col3, acol3, col4, acol4, 
col5, acol5), where the final ones may be omitted if irrelevant. 
Les Houches style colour tags are used, but starting with number 1 
(and later shifted by the currently requested offset). The 
input is grouped particle by particle, with the colour index before the 
anticolour one. You may need to select colour flow dynamically, depending 
on the kinematics, when several distinct possibilities exist. Trivial 
operations, like swapping colours and anticolours, can be done with 
existing methods. 

      When the id3Mass() and id4Mass() 
methods have been used, the order of the outgoing particles may be 
inconsistent with the way the tHat and uHat 
variables have been defined. A typical example would be a process like 
q g → q' W with tHat defined between incoming and 
outgoing quark, but where id3Mass() = 24 and so the 
process is to be stored as q g → W q'. One should then put 
the variable swapTU = true in setIdColAcol() 
for each event where the tHat and uHat variables 
should be swapped before the event kinematics is reconstructed. This 
variable is automatically restored to false for each new 
event. 
       
 
 
is called to allow a reweighting of the simultaneous flavour choices of 
resonance decay products. Is currently only used for the 
q qbar → gamma*/Z^0 gamma*/Z^0 process, and will likely not 
be of interest for you. 
 
 
 
is called when the basic process has one or several resonances, after each 
set of related resonances in process[i], 
iResBeg <= i  <= iResEnd, 
has been allowed to decay. The calculated weight, to be normalized 
to the range between 0 and 1, is used to decide whether to accept the 
decay(s) or try for a new decay configuration. The base-class version of 
this method returns unity, i.e. gives isotropic decays by default. 
This method may be called repeatedly for a single event. For instance, in 
q qbar → H^0 Z^0 with H^0 → W^+ W^-, a first call 
would be made after the H^0 and Z^0 decays, and then 
depend only on the Z^0 decay angles since the H^0 
decays isotropically. The second call would be after the W^+ W^- 
decays and then involve correlations between the four daughter fermions. 
 
 
 
returns the name of the process, as you want it to be shown in listings. 
 
 
 
returns an integer identifier of the process. This has no internal function, 
but is only intended as a service for the user to rapidly (and hopefully 
uniquely) identify which process occurred in a given event. Numbers below 
10000 are reserved for internal PYTHIA use. 
 
 
 
this string specifies the combinations of incoming partons that are 
allowed for the process under consideration, and thereby which incoming 
flavours id1 and id2 the sigmaHat() 
calls will be looped over. It is always possible to pick a wider flavour 
selection than strictly required and then put to zero cross sections in 
the superfluous channels, but of course this may cost some extra execution 
time. Currently allowed options are: 

      * gg: two gluons. 

      * qg: one (anti)quark and one gluon. 

      * qq: any combination of two quarks, two antiquarks or 
a quark and an antiquark. 

      * qqbar: any combination of a quark and an antiquark; 
a subset of the qq option. 

      * qqbarSame: a quark and its antiquark; 
a subset of the qqbar option. 

      * ff: any combination of two fermions, two antifermions 
or a fermion and an antifermion; is the same as qq for 
hadron beams but also allows processes to work with lepton beams. 

      * ffbar: any combination of a fermion and an antifermion; 
is the same as qqbar for hadron beams but also allows processes 
to work with lepton beams. 

      * ffbarSame: a fermion and its antifermion; is the 
same as qqbarSame for hadron beams but also allows processes 
to work with lepton beams. 

      * ffbarChg: a fermion and an antifermion that combine 
to give charge +-1. 

      * fgm: a fermion and a photon (gamma). 

      * ggm: a gluon and a photon. 

      * gmgm: two photons. 
       
 
 
it is assumed that cross sections normally come in dimensions such that 
they, when integrated over the relevant phase space, obtain the dimension 
GeV^-2, and therefore need to be converted to mb. If the cross section 
is already encoded as mb then convert2mb() should be 
overloaded to instead return false. 
 
 
 
it is assumed that 2 → 1 cross sections are encoded as 
sigmaHat(sHat), and 2 → 2 ones as 
d(sigmaHat)/d(tHat) in the SigmaProcess::sigmaHat() 
methods. If convertM2() is overloaded to instead return 
true then the return value is instead assumed to be the 
squared matrix element |M|^2, and 
SigmaProcess::sigmaHatWrap(...) converts to 
sigmaHat(sHat) or d(sigmaHat)/d(tHat), respectively. 
This switch has no effect on 2 → 3 processes, where 
|M|^2 is the only allowed input anyway. 
 
 
 
 
 
 
 
are the one, two or three final-state flavours, where masses are to be 
selected before the matrix elements are evaluated. Only the absolute value 
should be given. For massless particles, like gluons and photons, one need 
not give anything, i.e. one defaults to 0. The same goes for normal light 
quarks, where masses presumably are not implemented in the matrix elements. 
Later on, these quarks can still (automatically) obtain constituent masses, 
once a u, d or s flavour has been selected. 
 
 
 
 
 
are the codes of up to two s-channel resonances contributing to 
the matrix elements. These are used by the program to improve the phase-space 
selection efficiency, by partly sampling according to the relevant 
Breit-Wigner distributions. Massless resonances (the gluon and photon) 
need not be specified. 
 
 
 
normally the choice of renormalization and factorization scales in 
2 → 2 and 2 → 3 processes is based on the 
assumption that t- and u-channel exchanges dominates the 
cross section. In cases such as f fbar → gamma* → f' fbar' 
a 2 → 2 process actually ought to be given scales as a 
2 → 1 one, in the sense that it proceeds entirely through 
an s-channel resonance. This can be achieved if you override the 
default false to return true. See further the 
page on couplings and scales. 
 
 
 
normally no intermediate state is shown in the event record for 
2 → 2 and 2 → 3 processes. However, in case 
that idSChannel is overloaded to return a nonzero value, 
an intermediate particle with that identity code is inserted into the 
event record, to make it a 2 → 1 → 2 or 
2 → 1 → 3 
process. Thus if both isSChannel and idSChannel 
are overloaded, a process will behave and look like it proceeded through 
a resonance. The one difference is that the implementation of the 
matrix element is not based on the division into a production and a 
decay of an intermediate resonance, but is directly describing the 
transition from the initial to the final state. 
 
 
 
there are two different 3-body phase-space selection machineries, 
of which the non-QCD one is default. If you overload this method 
instead the QCD-inspired machinery will be used. The differences 
between these two is related to which 
phase space cuts 
can be set, and also that the QCD machinery assumes (almost) massless 
outgoing partons. 
 
 
 
 
 
the non-QCD 2 → 3 phase space selection machinery is rather 
primitive, as already mentioned. The efficiency can be improved in 
processes that proceed though t-channel exchanges, such as 
q qbar' → H^0 q qbar' via Z^0 Z^0 fusion, if the 
identity of the  t-channel-exchanged particles on the two side 
of the event are provided. Only the absolute value is of interest. 
 
 
 
 
 
in the above kind of 2 → 3 phase-space selection, the 
sampling of pT^2 is done with one part flat, one part weighted 
like 1 / (pT^2 + m_R^2) and one part  like 
1 / (pT^2 + m_R^2)^2. The above values provide the relative 
amount put in the latter two channels, respectively, with the first 
obtaining the rest. Thus the sum of tChanFracPow1() and 
tChanFracPow2() must be below unity. The final results 
should be independent of these numbers, but the Monte Carlo efficiency 
may be quite low for a bad choice. Here m_R is the mass of the 
exchanged resonance specified by idTchan1() or 
idTchan2(). Note that the order of the final-state 
listing is important in the above q qbar' → H^0 q qbar' example, 
i.e. the H^0 must be returned by id3Mass(), 
since it is actually the pT^2 of the latter two that are 
selected independently, with the first pT then fixed 
by transverse-momentum conservation. 
 
 
 
in 2 → 3 processes the phase space selection used here 
involves a twofold ambiguity basically corresponding to a flipping of 
the positions of last two outgoing particles. These are assumed equally 
likely by default, false, but for processes proceeding entirely 
through t-channel exchange the Monte Carlo efficiency can be 
improved by making a preselection based on the relative propagator 
weights, true. 
 
 
 
allows a possibility to override the global mode 
WeakZ0:gmZmode 
for a specific process. The global mode normally is used to switch off 
parts of the gamma^*/Z^0 propagator for test purposes. The 
above local mode is useful for processes where a Z^0 really is 
that and nothing more, such as q qbar → H^0 Z^0. The default 
value -1 returned by gmZmode() ensures that the global 
mode is used, while 0 gives full gamma^*/Z^0 interference, 
1 gamma^* only and 2 Z^0 only. 
 
 

      Access to a process
       
 
Once you have implemented a class, it is straightforward to make use of 
it in a run. Assume you have written a new class MySigma, 
which inherits from Sigma1Process, Sigma2Process 
or Sigma3Process, which in their turn inherit from 
SigmaProcess. You then create an instance of this class 
and hand it in to a pythia object with 

       
      SigmaProcess* mySigma = new MySigma(); 
      pythia.setSigmaPtr( mySigma); 

       
If you have several processes you can repeat the procedure any number 
of times. When pythia.init(...) is called these processes 
are initialized along with any internal processes you may have switched on, 
and treated in exactly the same manner. The  pythia.next() 
will therefore generate a mix of the different kinds of processes without 
distinction. See also the Program Flow 
description. 
 

       
If the code should be of good quality and general usefulness, it would 
be simple to include it as a permanently available process in the 
standard program distribution. The final step of that integration ought to 
be left for the PYTHIA authors, but here is a description of what is 
required. 
  

       
A flag has to be defined, that allows the process to be switched on; 
by default it should always be off. The name of the flag should be 
chosen of the type model:process. Here the 
model would be related to the general scenario considered, 
e.g. Compositeness, while process would 
specify instate and outstate, separated by a 2 (= to), e.g. 
ug2u*g. 
When several processes are implemented and "belong together" it is 
also useful to define a model:all switch that affects 
all the separate processes. 
 

       
The flags should normally be stored in the ProcessSelection.xml 
file or one of its daughters for a specific kind of processes. This is to 
make them easily found by users. You could create and use your own 
.xml file, so long as you then add that name to the 
list of files in the Index.xml file. (If not, 
the flags would never be created and the program would not work.) 
 

       
In the ProcessContainer.c file, the 
SetupContainers::init() method needs to be expanded to 
create instances of the processes switched on. This code is fairly 
repetitive, and should be easy to copy and modify from the code 
already there. The basic structure is 

      (i) check whether a process is requested by the user and, if so, 

      (ii) create an instance of the matrix-element class, 

      (iii)create a container for the matrix element and its associated 
phase-space handling, and 

      (iv) add the container to the existing process list. 
 

       
Two minor variations are possible. One is that a set of related 
processes are lumped inside the the same initial check, i.e. are 
switched on all together. The second is that the matrix-element 
constructor may take arguments, as specified by you (see above). 
If so, the same basic matrix element may be recycled for a set of 
related processes, e.g. one for a composite u and one for 
a composite d. Obviously these variations may be combined. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/LeftRightSymmetryProcesses.xml0000444000175000017500000001447012357055021021704 0ustar  sunsun 
 

      Left-Right-Symmetry Processes
       
 
At current energies, the world is left-handed, i.e. the Standard Model 
contains an SU(2)_L group. Left-right symmetry at some larger 
scale implies the need for an SU(2)_R group. Thus the particle 
content is expanded by right-handed Z_R^0 and W_R^+- 
and right-handed neutrinos. The Higgs fields have to be in a triplet 
representation, leading to doubly-charged Higgs particles, one set for 
each of the two SU(2) groups. Also the number of neutral and 
singly-charged Higgs states is increased relative to the Standard Model, 
but a search for the lowest-lying states of this kind is no different 
from e.g. the freedom already accorded by the MSSM Higgs scenarios. 
 

       
PYTHIA implements the scenario of Hui97. 
 

       
The W_R^+- has been implemented as a simple copy of the 
ordinary W^+-, with the exception that it couples to 
right-handed neutrinos instead of the ordinary left-handed ones. 
Thus the standard CKM matrix is used in the quark sector, and the 
same vector and axial coupling strengths, leaving only the mass as 
free parameter. The Z_R^0 implementation (without interference 
with the photon or the ordinary Z^0) allows decays both to 
left- and right-handed neutrinos, as well as other fermions, according 
to one specific model ansatz. Obviously both the W_R^+- 
and the Z_R^0 descriptions are  likely to be simplifications, 
but provide a starting point. 
 

       
For the doubly-charged Higgs bosons, the main decay modes implemented are 
H_L^++ → W_L^+ W_L^+, l_i^+ l_j^+  (i, j generation 
indices) and H_R^++ → W_R^+ W_R^+, l_i^+ l_j^+. 
 

       
The right-handed neutrinos can be allowed to decay further. Assuming them 
to have a mass below that of W_R^+-, they decay to three-body 
states via a virtual W_R^+-, nu_Rl → l+- f fbar', 
where both lepton charges are allowed owing to the Majorana character 
of the neutrinos. If there is a significant mass splitting, also 
sequential decays nu_Rl → l+- l'-+  nu'_Rl are allowed. 
Currently the decays are isotropic in phase space. If the neutrino 
masses are close to or above the W_R^ ones, this description 
has to be substituted by a sequential decay via a real W_R^ 
(not implemented, but actually simpler to do than the one here). 
 
 

      Production processes
       
 
A few different production processes have been implemented, which normally 
would not overlap and therefore could be run together. 
 
 
Common switch for the group of implemented processes within a 
left-right-symmetric scenario. 
 
 
 
Scatterings f fbar → Z_R^0. 
Code 3101. 
 
 
 
Scatterings . 
Code 3102. 
 
 
 
Scatterings l_i l_j → H_L^--. 
Code 3121. 
 
 
 
Scatterings l_i gamma → H_L^-- e^+. 
Code 3122. 
 
 
 
Scatterings l_i gamma → H_L^-- mu^+. 
Code 3123. 
 
 
 
Scatterings l_i gamma → H_L^-- tau^+. 
Code 3124. 
 
 
 
Scatterings f_1 f_2 → H_L^-- f_3 f_4 via WW fusion. 
Code 3125. 
 
 
 
Scatterings f fbar →  H_L^++ H_L^--. 
Code 3126. 
 
 
 
Scatterings l_i l_j → H_R^--. 
Code 3141. 
 
 
 
Scatterings l_i gamma → H_R^-- e^+. 
Code 3142. 
 
 
 
Scatterings l_i gamma → H_R^-- mu^+. 
Code 3143. 
 
 
 
Scatterings l_i gamma → H_R^-- tau^+. 
Code 3144. 
 
 
 
Scatterings f_1 f_2 → H_R^-- f_3 f_4 via WW fusion. 
Code 3145. 
 
 
 
Scatterings f fbar →  H_R^++ H_R^--. 
Code 3146. 
 
 

      Parameters
       
 
The basic couplings of the model are 
 
 
lefthanded coupling g_L = e / sin(theta). 
 
 
 
righthanded coupling g_R, assumed the same as g_L. 
 
 
 
vacuum expectation value v_L (in GeV) for the left-triplet. 
 
 

       
The corresponding vacuum expectation value v_R is assumed 
given by v_R = sqrt(2) M_WR / g_R and is not stored explicitly. 
 

       
The Yukawa couplings of a lepton pair to a H^--, assumed the 
same for H_L^-- and H_R^--, is described by a symmetric 
3-by-3 matrix. The default matrix is dominated by the diagonal elements 
and especially by the tau tau one. 
 
 
Yukawa coupling for H^-- → e- e-. 
 
 
 
Yukawa coupling for H^-- → mu- e-. 
 
 
 
Yukawa coupling for H^-- → mu- mu-. 
 
 
 
Yukawa coupling for H^-- → tau- e-. 
 
 
 
Yukawa coupling for H^-- → tau- mu-. 
 
 
 
Yukawa coupling for H^-- → tau- tau-. 
 
 
 
 
 
 
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       0.75135e-02  0.63980e-02  0.54881e-02  0.47351e-02  0.41105e-02 
       0.36003e-02  0.31511e-02  0.27436e-02  0.23361e-02  0.19286e-02 
       0.15210e-02  0.11135e-02  0.70600e-03  0.29848e-03 -0.10904e-03 
pythia8-8.1.86.orig/xmldoc/UserHooks.xml0000444000175000017500000013750712357055031016305 0ustar  sunsun 
 

      User Hooks
       
 
Sometimes it may be convenient to step in during the generation 
process: to modify the built-in cross sections, to veto undesirable 
events or simply to collect statistics at various stages of the 
evolution. There is a base class UserHooks that gives 
you this access at a few selected places. This class in itself does 
nothing; the idea is that you should write your own derived class 
for your task. One simple derived class (SuppressSmallPT) 
comes with the program, mainly as illustration, and the 
main10.cc program provides a complete (toy) example how 
a derived class could be set up and used. 
 

       
There are eight sets of routines, that give you different kinds of 
freedom. They are, in no particular order: 

      (i) Ones that give you access to the event record in between 
the process-level and parton-level steps, or in between the 
parton-level and hadron-level ones. You can study the event record 
and decide whether to veto this event. 

      (ii) Ones that allow you to set a scale at which the combined 
parton-level MPI+ISR+FSR downwards evolution in pT is 
temporarily interrupted, so the event can be studied and either 
vetoed or allowed to continue the evolution. 

      (iii) Ones that allow you to to study the event after the first 
few ISR/FSR emissions, or first few MPI, so the event can be vetoed 
or allowed to continue the evolution. 

      (iv) Ones that allow you to study the latest initial- or 
final-state emission and veto that emission, without vetoing the 
event as a whole. 

      (v) Ones that give you access to the properties of the trial 
hard process, so that you can modify the internal Pythia cross section, 
alternatively the phase space sampling, by your own correction factors. 

      (vi) Ones that allow you to reject the decay sequence of resonances 
at the process level. 

      (vii) Ones that let you set the scale of shower evolution, 
specifically for matching in resonance decays. 

      (viii) Ones that allow colour reconnection, notably in connection 
with resonance decays.

      They are described further in the following numbered subsections. 
 

       
All the possibilities above can be combined freely and also be combined 
with the standard flags. An event would then survive only if it survived 
each of the possible veto methods. There are no hidden interdependencies 
in this game, but of course some combinations may not be particularly 
meaningful. For instance, if you set PartonLevel:all = off 
then the doVetoPT(...) and doVetoPartonLevel(...) 
locations in the code are not even reached, so they would never be called. 
 

       
The effect of the vetoes of types (i), (ii) and (iii) can be studied 
in the output of the 
Pythia::statistics() 
method. The "Selected" column represents the number of events that were 
found acceptable by the internal Pythia machinery, whereas the "Accepted" 
one are the events that also survived the user cuts. The cross section 
is based on the latter number, and so is reduced by the amount associated 
by the vetoed events. Also type (v) modifies the cross section, while 
types (iv), (vi) and (vii) do not. 
 

       
A warning. When you program your own derived class, do remember that you 
must exactly match the arguments of the base-class methods you overload. 
If not, your methods will be considered as completely new ones, and 
compile without any warnings, but not be used inside Pythia. 
So, at the debug stage, do insert some suitable print statements to check 
that the new methods are called (and do what they should). 
 

      The basic components
       
 
For a derived UserHooks class to be called during the 
execution, a pointer to an object of this class should be handed in 
with the 

       
Pythia::setUserHooksPtr( UserHooks*) 

      method. The first step therefore is to construct your own derived 
class, of course. This must contain a constructor and a destructor. The 
initPtr method comes "for free", and is set up without 
any intervention from you. 
 
 
 
 
The constructor and destructor do not need to do anything. 
 
 
 
this (non-virtual) method is automatically called during the 
initialization stage to set several useful pointers, and to set up 
the workEvent below. The corresponding objects can 
later be used to extract some useful information. 

      Info: 
general event and run information, including some loop counters. 

      Settings: 
the settings used to determine the character of the run. 

      ParticleData: 
the particle data used in the event record 
(including workEvent below). 

      Rndm: the random number 
generator, that you could also use in your code. 

      BeamParticle: 
the beamAPtr and beamBPtr beam particles 
contain info on partons extracted from the two incoming beams, 
on the PDFs used, and more. In cases when diffraction is simulated, 
also special Pomeron beams beamPomAPtr and 
beamPomBPtr are introduced, for the Pomerons residing 
inside the respective proton. 

      CoupSM: 
Standard Model couplings. 

      PartonSystems: 
the list of partons that belong to each individual subcollision system. 

      SigmaTotal: 
total/elastic/diffractive cross section parametrizations. 
       
 

       
Next you overload the desired methods listed in the sections below. 
These often come in pairs or triplets, where the first must return 
true for the last method to be called. This latter method typically 
hands you a reference to the event record, which you then can use to 
decide whether or not to veto. Often the event record can be quite 
lengthy and difficult to overview. The following methods and data member 
can then come in handy. 
 
 
is a protected method that you can make use of in your own methods to 
extract a simplified list of the hard process, where all resonance decay 
chains are omitted. Intended for the can/doVetoProcessLevel 
routines. Note that the normal process-level generation does include 
resonance decays. That is, if a top quark is produced in the hard process, 
then also decays such as t → b W+, W+ → u dbar will be 
generated and stored in process. 
The omitResonanceDecays 
routine will take the input process and copy it to 
workEvent (see below), minus the resonance decay chains. 
All particles produced in the hard process, such as the top, will be 
considered final-state ones, with positive status and no daughters, 
just as it is before resonances are allowed to decay. 

      (In the PartonLevel routines, these decay chains will 
initially not be copied from process to event. 
Instead the combined MPI, ISR and FSR evolution is done with the top 
above as final particle. Only afterwards will the resonance decay chains 
be copied over, with kinematics changes reflecting those of the top, and 
showers in the decays carried out.) 

      For the default finalOnly = false the beam particles 
and incoming partons are retained, so the event looks like a normal 
event record up to the point of resonance decays, with a normal history 
setup. 

      With finalOnly = true only the final-state partons 
are retained in the list. It therefore becomes similar in functionality 
to the subEvent method below, with the difference that 
subEvent counts the decay products of the resonances 
as the final state, whereas here the resonances themselves are the 
final state. Since the history has been removed in this option, 
mother1() and mother2() return 0, while 
daughter1() and daughter2() both return the 
index of the same parton in the original event record. 
       
 
 
is a protected method that you can make use of in your own methods to 
extract a brief list of the current partons of interest, with all 
irrelevant ones omitted. It is primarily intended to track the evolution 
at the parton level, notably the shower evolution of the hardest 
(i.e. first) interaction. 

      For the default isHardest = true only the outgoing partons 
from the hardest interaction (including the partons added to it by ISR and 
FSR) are extracted, as relevant e.g. for doVetoPT( iPos, event) 
with iPos = 0 - 4. With isHardest = false instead 
the outgoing partons of the latest "subprocess" are extracted, as relevant 
when iPos = 5, where it corresponds to the outgoing partons 
in the currently considered decay. 

      The method also works at the process level, but there simply extracts 
all final-state partons in the event, and thus offers no extra functionality. 

      The result is stored in workEvent below. Since the 
history has been removed, mother1() and mother2() 
return 0, while daughter1() and daughter2() both 
return the index of the same parton in the original event record 
(event; possibly process), so that you can 
trace the full history, if of interest. 
       
 
 
This protected class member contains the outcome of the above 
omitResonanceDecays(...) and 
subEvent(...) methods. Alternatively you can use it for 
whatever temporary purposes you wish. You are free to use standard 
operations, e.g. to boost the event to its rest frame before analysis, 
or remove particles that should not be analyzed. 
The workEvent can also be sent on to a 
jet clustering algorithm. 
 

      (i) Interrupt between the main generation levels
       
 
 
This routine is called by Pythia::init(), after the beams have been 
set up, but before any other initialisation. Therefore, at this stage, 
it is still possible to modify settings (apart from 
Beams:*) and particle data. This is mainly intended 
to be used in conjunction with Les Houches Event files, where 
headers are read in during beam initialisation, see the header 
functions in the Info class. 
In the base class this method returns true. By returning false, 
PYTHIA initialisation will be aborted. 
 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoProcessLevel(...) 
will be called immediately after a hard process (and associated 
resonance decays) has been selected and stored in the 
process event record. 

      At this stage, the process record typically contains 
the two beams in slots 1 and 2, the two incoming partons to the hard 
process in slots 3 and 4, the N (usually 1, 2 or 3) primary produced 
particles in slots 5 through 4 + N, and thereafter recursively the 
resonance decay chains, if any. Use the method 
omitResonanceDecays(...) if you want to skip these 
decay chains. There are exceptions to this structure, 
for soft QCD processes (where 
the partonic process may not yet have been selected at this stage), 
and when a second hard process has 
been requested (where two hard processes are bookkept). In general 
it is useful to begin the development work by listing a few 
process records, to clarify what the structure is for 
the cases of interest. 
       
 
 
can optionally be called, as described above. You can study the 
process event record of the hard process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 
Warning: Normally you should not modify the process 
event record. However, for some matrix-element-matching procedures it may 
become unavoidable. If so, be very careful, since there are many pitfalls. 
Only to give one example: if you modify the incoming partons then also 
the information stored in the beam particles may need to be modified. 
Note: the above veto is different from setting the flag 
PartonLevel:all = off. 
Also in the latter case the event generation will stop after the process 
level, but an event generated up to this point is considered perfectly 
acceptable. It can be studied and it contributes to the cross section. 
That is, PartonLevel:all = off is intended for simple studies 
of hard processes, where one can save a lot of time by not generating 
the rest of the story. By contrast, the doVetoProcessLevel() 
method allows you to throw away uninteresting events at an early stage 
to save time, but those events that do survive the veto are allowed to 
develop into complete final states (unless flags have been set otherwise). 
 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoPartonLevel(...) 
will be called immediately after the parton level has been generated 
and stored in the event 
event record. Thus showers, multiparton interactions and beam remnants 
have been set up, but hadronization and decays have not yet been 
performed. This is already a fairly complete event, possibly with quite 
a complex parton-level history. Therefore it is usually only meaningful 
to study the hardest interaction, e.g. using subEvent(...) 
introduced above, or fairly generic properties, such as the parton-level 
jet structure. 
 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 
Note: the above veto is different from setting the flag 
HadronLevel:all = off. 
Also in the latter case the event generation will stop after the parton 
level, but an event generated up to this point is considered perfectly 
acceptable. It can be studied and it contributes to the cross section. 
That is, HadronLevel:all = off is intended for simple 
studies of complete partonic states, where one can save time by not 
generating the complete hadronic final state. By contrast, the 
doVetoPartonLevel() method allows you to throw away 
uninteresting events to save time that way, but those events that 
do survive the veto are allowed to develop into complete final states 
(unless flags have been set otherwise). 
 
 
 
is very similar to canVetoPartonLevel() above, except 
that the chance to veto appears somewhat earlier in the generation 
chain, after showers and multiparton interactions, but before the 
beam remnants and resonance decays have been added. It is therefore 
somewhat more convenient for many matrix element strategies, where 
the primordial kT added along with the beam remnants should 
not be included. 
 
 
 
is very similar to doVetoPartonLevel(...) above, but 
the veto can be done earlier, as described for 
canVetoPartonLevelEarly(). 
 

      (ii) Interrupt during the parton-level evolution, at a 
pT scale
       
 
During the parton-level evolution, multiparton interactions (MPI), 
initial-state radiation (ISR) and final-state radiation (FSR) 
are normally evolved downwards in 
one interleaved evolution sequence of decreasing pT values. 
For some applications, e.g  matrix-element-matching approaches, it 
may be convenient to stop the evolution temporarily when the "hard" 
emissions have been considered, but before continuing with the more 
time-consuming soft activity. Based on these hard partons one can make 
a decision whether the event at all falls in the intended event class, 
e.g. has the "right" number of parton-level jets. If yes then, as for 
the methods above, the evolution will continue all the way up to a 
complete event. Also as above, if no, then the event will not be 
considered in the final cross section. 
 

       
Recall that the new or modified partons resulting from a MPI, ISR or FSR 
step are always appended to the end of the then-current event record. 
Previously existing partons are not touched, except for the 
status, mother and daughter 
values, which are updated to reflect the modified history. It is 
therefore straightforward to find the partons associated with the most 
recent occurrence. 

      An MPI results in four new partons being appended, two incoming 
and two outgoing ones. 

      An ISR results in the whole affected system being copied down, 
with one of the two incoming partons being replaced by a new one, and 
one more outgoing parton. 

      An FSR results in three new partons, two that come from the 
branching and one that takes the recoil. 

      The story becomes more messy when rescattering is allowed as part 
of the MPI machinery. Then there will not only be a new system, as 
outlined above, but additionally some existing systems will undergo 
cascade effects, and be copied down with changed kinematics. 
 

       
In this subsection we outline the possibility to interrupt at a given 
pT scale, in the next to interrupt after a given number of 
emissions. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoPT(...) will 
interrupt the downward evolution at scaleVetoPT(). 
 
 
In the base class this method returns 0. You should redefine it 
to return the pT scale at which you want to study the event. 
 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 
 is the position/status when the routine is 
called, information that can help you decide your course of action: 
 when no MPI, ISR or FSR occurred above the veto scale; 
 
 when inside the interleaved MPI + ISR + FSR evolution, 
after an MPI process; 
 
 when inside the interleaved MPI + ISR + FSR evolution, 
after an ISR emission; 
 
 when inside the interleaved MPI + ISR + FSR evolution, 
after an FSR emission; 
 
 for the optional case where FSR is deferred from the 
interleaved evolution and only considered separately afterward (then 
alternative 3 would never occur); 
 
 is for subsequent resonance decays, and is called once 
for each decaying resonance in a chain such as 
t → b W, W → u dbar. 
 
 
 the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", and also those from further multiparton interactions. 
This may not be desirable for comparisons with matrix-element calculations. 
You may want to make use of the subEvent(...) method below to 
obtain a simplified event record workEvent. 
 
 
 

      (iii) Interrupt during the parton-level evolution, after a step
       
 
These options are closely related to the ones above in section (ii), so 
we do not repeat the introduction, nor the possibilities to study the 
event record, also by using subEvent(...) and 
workEvent. 
What is different is that the methods in this section give access to the 
event as it looks like after each of the first few steps in the downwards 
evolution, irrespective of the pT scales of these branchings. 
Furthermore, it is here assumed that the focus normally is on the hardest 
subprocess, so that ISR/FSR emissions associated with additional MPI's 
are not considered. For MPI studies, however, a separate simpler 
alternative is offered to consider the event after a given number 
of interactions. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoStep(...) will 
interrupt the downward ISR and FSR evolution the first 
numberVetoStep() times. 
 
 
Returns the number of steps n each of ISR and FSR, for the 
hardest interaction, that you want to be able to study. That is, 
the method will be called after the first n ISR emissions, 
irrespective of the number of FSR ones at the time, and after the 
first n FSR emissions, irrespective of the number of ISR ones. 
The number of steps defaults to the first one only, but you are free 
to pick another value. Note that double diffraction is handled as two 
separate Pomeron-proton collisions, and thus has two sequences of 
emissions. 
 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 
 is the position/status when the routine is 
called, information that can help you decide your course of action. 
Agrees with options 2 - 5 of the doVetoPT(...) routine 
above, while options 0 and 1 are not relevant here. 
 
 is the number of ISR emissions in the hardest 
process so far. For resonance decays, iPos = 5, it is 0. 
 
 is the number of FSR emissions in the hardest 
process so far. For resonance decays, iPos = 5, it is the 
number of emissions in the currently studied system. 
 
 the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", and also those from further multiparton interactions. 
This may not be desirable for comparisons with matrix-element calculations. 
You may want to make use of the subEvent(...) method above to 
obtain a simplified event record. 
 
 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoMPIStep(...) will 
interrupt the downward MPI evolution the first 
numberVetoMPIStep() times. 
 
 
Returns the number of steps in the MPI evolution that you want to be 
able to study, right after each new step has been taken and the 
subcollision has been added to the event record. The number of steps 
defaults to the first one only, but you are free to pick another value. 
Note that the hardest interaction of an events counts as the first 
multiparton interaction. For most hard processes it thus at the first 
step offers nothing not available with the VetoProcessLevel 
functionality above. For the minimum-bias and diffractive systems the 
hardest interaction is not selected at the process level, however, so 
there a check after the first multiparton interaction offers new 
functionality. Note that double diffraction is handled as two separate 
Pomeron-proton collisions, and thus has two sequences of interactions. 
Also, if you have set up a second hard process then a check is made 
after these first two, and the first interaction coming from the MPI 
machinery would have sequence number 3. 
 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 
 is the number of MPI subprocesses has occurred 
so far. 
 
 the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", e.g. leftovers from the ISR and FSR evolution 
of previously generated systems. The most recently added one has not 
had time to radiate, of course. 
 
 
 

      (iv) Veto emissions
       
 
The methods in this group are intended to allow the veto of an emission 
in ISR, FSR or MPI, without affecting the evolution in any other way. 
If an emission is vetoed, the event record is "rolled back" to the 
way it was before the emission occurred, and the evolution in pT 
is continued downwards from the rejected value. The decision can be 
based on full knowledge of the kinematics of the shower branching or MPI. 
 

       
To identify where shower emissions originated, the ISR/FSR veto 
routines are passed the system from which the radiation occurred, according 
to the Parton Systems class (see Advanced 
Usage). Note, however, that inside the veto routines only the event 
record has been updated; all other information, including the Parton 
Systems, reflects the event before the shower branching or MPI has 
taken place. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoISREmission(...) 
will interrupt the initial-state shower immediately after each 
emission and allow that emission to be vetoed. 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the emission, true, or 
not, false. If you veto, then the latest emission is removed from 
the event record. In either case the evolution of the shower will 
continue from the point where it was left off. 
 is the size of the event record before the 
latest emission was added to it. It will also become the new size if 
the emission is vetoed. 
 
 the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent emission, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the emission 
these entries will be removed, and the history info in the remaining 
partons will be restored to a state as if the emission had never occurred. 
 
 the system where the radiation occurs, according 
to Parton Systems. 
 
 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoFSREmission(...) 
will interrupt the final-state shower immediately after each 
emission and allow that emission to be vetoed. 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the emission, true, or 
not, false. If you veto, then the latest emission is removed from 
the event record. In either case the evolution of the shower will 
continue from the point where it was left off. 
 is the size of the event record before the 
latest emission was added to it. It will also become the new size if 
the emission is vetoed. 
 
 the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent emission, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the emission 
these entries will be removed, and the history info in the remaining 
partons will be restored to a state as if the emission had never occurred. 
 
 the system where the radiation occurs, according 
to Parton Systems. 
 
 true if the emission takes 
place in a resonance decay, subsequent to the hard process. 
 
 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoMPIEmission(...) 
will interrupt the MPI machinery immediately after each multiparton 
interaction and allow it to be vetoed. 
 
 
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the MPI, true, or 
not, false. If you veto, then the latest MPI is removed from 
the event record. In either case the interleaved evolution will 
continue from the point where it was left off. 
 is the size of the event record before the 
latest MPI was added to it. It will also become the new size if 
the MPI is vetoed. 
 
 the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent MPI, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the MPI 
these entries will be removed. 
 
 
 

      (v) Modify cross-sections or phase space sampling
       
 
This section addresses two related but different topics. In both 
cases the sampling of events in phase space is modified, so that 
some regions are more populated while others are depleted. 
In the first case, this is assumed to be because the physical 
cross section should be modified relative to the built-in Pythia 
form. Therefore not only the relative population of phase space 
is changed, but also the integrated cross section of the process. 
In the second case the repopulation is only to be viewed as a 
technical trick to sample some phase-space regions better, so as 
to reduce the statistical error. There each event instead obtains 
a compensating weight, the inverse of the differential cross section 
reweighting factor, in such a way that the integrated cross section 
is unchanged. Below these two cases are considered separately, 
but note that they share many points. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method multiplySigmaBy(...) will 
allow you to modify the cross section weight assigned to the current 
event. 
 
 
 
when called this method should provide the factor by which you want to 
see the cross section weight of the current event modified. If you 
return unity then the normal cross section is obtained. Note that, unlike 
the methods above, these modifications do not lead to a difference between 
the number of "selected" events and the number of "accepted" ones, 
since the modifications occur already before the "selected" level. 
The integrated cross section of a process is modified, of course. 
Note that the cross section is only modifiable for normal hard processes. 
It does not affect the cross section in further multiparton interactions, 
nor in elastic/diffractive/minimum-bias events. 
: 
what makes this routine somewhat tricky to write is that the 
hard-process event has not yet been constructed, so one is restricted 
to use the information available in the phase-space and cross-section 
objects currently being accessed. Which of their  methods are applicable 
depends on the process, in particular the number of final-state particles. 
The multiplySigmaBy code in UserHooks.cc 
contains explicit instructions about which methods provide meaningful 
information, and so offers a convenient starting point. 
 
: this flag is true when the method is 
called from within the event-generation machinery and false 
when it is called at the initialization stage of the run, when the 
cross section is explored to find a maximum for later Monte Carlo usage. 
Cross-section modifications should be independent of this flag, 
for consistency, but if  multiplySigmaBy(...) is used to 
collect statistics on the original kinematics distributions before cuts, 
then it is important to be able to exclude the initialization stage 
from comparisons. 
 
 
 

       
One derived class is supplied as an example how this facility can be used 
to reweight cross sections in the same spirit as is done with QCD cross 
sections for the minimum-bias/underlying-event description: 
 
 
suppress small-pT production for 2 → 2 processes 
only, while leaving other processes unaffected. The basic suppression 
factor is pT^4 / ((k*pT0)^2 + pT^2)^2, where pT 
refers to the current hard subprocess and pT0 is the same 
energy-dependent dampening scale as used for 
multiparton interactions. 
This class contains canModifySigma() and 
multiplySigmaBy() methods that overload the base class ones. 
 
 
 The optional arguments of the constructor provides further variability. 
 
corresponds to the additional factor k in the above formula. 
It is by default equal to 1 but can be used to explore deviations from 
the expected value. 
 
 
if this number n is bigger than the default 0, the 
corresponding number of alpha_strong factors is also 
reweighted from the normal renormalization scale to a modified one, 
i.e. a further suppression factor 
( alpha_s((k*pT0)^2 + Q^2_ren) / alpha_s(Q^2_ren) )^n 
is introduced. 
 
 
regulates which kind of new alpha_strong value is evaluated 
for the numerator in the above expression. It is by default the same 
as set for multiparton interactions (i.e. same starting value at 
M_Z and same order of running), but if false 
instead the one for hard subprocesses. The denominator 
alpha_s(Q^2_ren) is always the value used for the "original", 
unweighted cross section. 
 
 
 

       
The second main case of the current section involves three methods, 
as follows. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method biasSelectionBy(...) will 
allow you to modify the phase space sampling, with a compensating 
event weight, such that the cross section is unchanged. You cannot 
combine this kind of reweighting with the selection of 
a second hard process. 
 
 
 
when called this method should provide the factor by which you want to 
see the phase space sampling of the current event modified. Events are 
assigned a weight being the inverse of this, such that the integrated 
cross section of a process is unchanged. Note that the selection 
is only modifiable for normal hard processes. It does not affect the 
selection in further multiparton interactions, nor in 
elastic/diffractive/minimum-bias events. 
: 
what makes this routine somewhat tricky to write is that the 
hard-process event has not yet been constructed, so one is restricted 
to use the information available in the phase-space and cross-section 
objects currently being accessed. Which of their  methods are applicable 
depends on the process, in particular the number of final-state particles. 
The biasSelectionBy code in UserHooks.cc 
contains explicit instructions about which methods provide meaningful 
information, and so offers a convenient starting point. 
 
: this flag is true when the method is 
called from within the event-generation machinery and false 
when it is called at the initialization stage of the run, when the 
cross section is explored to find a maximum for later Monte Carlo usage. 
Cross-section modifications should be independent of this flag, 
for consistency, but if biasSelectionBy(...) is used to 
collect statistics on the original kinematics distributions before cuts, 
then it is important to be able to exclude the initialization stage 
from comparisons. 
 
 
 
 
Returns the weight you should assign to the event, to use e.g. when 
you histogram results. It is the exact inverse of the weight you 
used to modify the phase-space sampling, a weight that must be stored 
in the selBias member variable, such that this routine 
can return 1/selBias. The weight is also returned by the 
Info::weight() method, which may be more convenient to use. 
 
 

      (vi) Reject the decay sequence of resonances
       
 
Resonance decays are performed already at the process level, as 
an integrated second step of the hard process itself. One reason is 
that the matrix element of many processes encode nontrivial decay 
angular distributions. Another is to have equivalence with Les Houches 
input, where resonance decays typically are provided from the onset. 
The methods in this section allow you to veto that decay sequence and 
try a new one. Unlike the veto of the whole process-level step, 
in point (i), the first step of the hard process is retained, i.e. 
where the resonances are produced. For this reason the cross section 
is not affected here but, depending on context, you may want to introduce 
your own counters to check how often a new set of decay modes and 
kinematics is selected, and correct accordingly. 
 

      The main method below is applied after all decays. For the production 
of a t tbar pair this typically means after four decays, 
namely those of the t, the tbar, the W+ 
and the W-. If Les Houches events are processed, the rollback 
is to the level of the originally read events. For top, that might mean 
either to the tops, or to the W bosons, or no rollback at all, 
depending on how the process generation was set up. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doVetoResonanceDecays(...) 
will be called immediately after the resonance decays have been 
selected and stored in the process event record, 
as described above for canVetoProcessLevel(). 
 
 
 
can optionally be called, as described above. You can study the 
process event record of the hard process. 
Based on that you can decide whether to reject the sequence of 
resonance decays that was not already fixed by the production step 
of the hard process (which can vary depending on how a process has 
been set up, see above). If you veto, then a new resonance decay 
sequence is selected, but the production step remains unchanged. 
The cross section remains unaffected by this veto, for better or worse. 
Warning: Normally you should not modify the process 
event record. However, as an extreme measure, parts or the complete decay 
chain could be overwritten. If so, be very careful. 
 
  

      (vii) Modify scale in shower evolution
       
 
The choice of maximum shower scale in resonance decays is normally not a 
big issue, since the shower here is expected to cover the full phase 
space. In some special cases a matching scheme is intended, where hard 
radiation is covered by matrix elements, and only softer by showers. The 
below two methods support such an approach. Note that the two methods 
are not used in the TimeShower class itself, but when 
showers are called from the PartonLevel generation. Thus 
user calls directly to TimeShower are not affected. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method scaleResonance(...) 
will set the initial scale of downwards shower evolution. 
 
 
 
can optionally be called, as described above. You should return the maximum 
scale, in GeV, from which the shower evolution will begin. The base class 
method returns 0, i.e. gives no shower evolution at all. 
You can study, but not modify, the event event record 
of the partonic process to check which resonance is decaying, and into what. 
 is the location in the event record of the 
resonance that decayed to the particles that now will shower. 
 
 the event record contains a list of all partons 
generated so far, specifically the decaying resonance and its immediate 
decay products. 
 
 
  

      (viii) Allow colour reconnection
      

PYTHIA contains only a limites set of possibilities for 
colour reconnection, and none of them 
are geared specifically towards rapidly decaying resonances. Notably,
with the default 
PartonLevel:earlyResDec = off,
resonances will only decay after colour reconnection has already been
considered. Thus a coloured parton like the top may be reconnected
but, apart from this external connection with the rest of the event,
the top decay products undergo no colour reconnection. 
For PartonLevel:earlyResDec = on the resonance will decay 
earlier, and thus the decay products may undergo reconnections, but not
necessarily by models that are specifically geared towards this kind of 
events. For tryout purposes, a user hook can be called directly after the 
resonance decays, and there modify the colour flow. This holds whether the 
resonance decay is handled early or late, but is especially appropriate
for the latter default possibility. While intended specifically for 
resonance decays, alternatively it is possible to switch off the built-in 
colour reconnection and here implement your own reconnection model 
for the whole event.

 
In the base class this method returns false. If you redefine it 
to return true then the method doReconnectResonanceSystems(...) 
will be called immediately after the resonance decays and their
associated final-state showers have been added to the event record.
 
 
 
can optionally be called, as described above, to reconnect colours
in the event. The method should normally return true, but false if the 
colour-reconnected event is unphysical and to be rejected. 
(If this is likely to happen, having a safety copy to restore to
is a good idea, so that false can be avoided to the largest extent 
possible.)
 the size of the event record before 
resonance decay products and their associated final-state showers
have been added to the event. Can thus be used to easily separate 
the resonance-decay partons from those in the rest of the event.
 
 the event record contains a list of all particles 
generated so far. You are allowed to freely modify this record, but with
freedom comes responsibility. Firstly, it is only meaningful to modify
the colour indices of final-state (at the time) partons; all other event
properties had better be left undisturbed. Secondly, it is up to you to
ensure that the new colour topology is meaningful, e.g. that no gluon
has obtained the same colour as anticolour index and thereby forms
a singlet on its own.  
 
 
 
 
       
 
 
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pythia8-8.1.86.orig/xmldoc/EventAnalysis.xml0000444000175000017500000011664712357055016017155 0ustar  sunsun 
 

      Event Analysis
       
 

      Introduction
       
 
The routines in this section are intended to be used to analyze 
event properties. As such they are not part of the main event 
generation chain, but can be used in comparisons between Monte 
Carlo events and real data. They are rather free-standing, but 
assume that input is provided in the PYTHIA 8 
Event format, and use a few basic facilities such 
as four-vectors. Their ordering is mainly by history; for current 
LHC applications the final one, SlowJet, is of 
special interest. 
 

       
In addition to the methods presented here, there is also the 
possibility to make use of external 
jet finders . 
 

      Sphericity
       
 
The standard sphericity tensor is 
 
    S^{ab} = (sum_i p_i^a p_i^b) / (sum_i p_i^2) 
 
where the sum i runs over the particles in the event, 
a, b = x, y, z, and p without such an index is 
the absolute size of the three-momentum . This tensor can be 
diagonalized to find eigenvalues and eigenvectors. 
 

       
The above tensor can be generalized by introducing a power 
r, such that 
 
    S^{ab} = (sum_i p_i^a p_i^b p_i^{r-2}) / (sum_i p_i^r) 
 
In particular, r = 1 gives a linear dependence on momenta 
and thus a collinear safe definition, unlike sphericity. 
 

       
To do sphericity analyses you have to set up a Sphericity 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 
 
create a sphericity analysis object, where 
 
is the power r defined above, i.e. 
gives Sphericity, and 
gives the linear form. 
 
 
tells which particles are analyzed, 
all final-state particles, 
all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() 
particle method), and 
 
only charged final-state particles. 
 
 
 
 
perform a sphericity analysis, where 
is an object of the Event class, 
most likely the pythia.event one. 
 
 is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
 

      If the routine returns false the 
analysis failed, e.g. if too few particles are present to analyze. 
       
 

       
After the analysis has been performed, a few methods are available 
to return the result of the analysis of the latest event: 
 
 
gives the sphericity (or equivalent if r is not 2), 
 
 
 
gives the aplanarity (with the same comment), 
 
 
 
gives one of the three eigenvalues for i = 1, 2 or 3, in 
descending order, 
 
 
 
gives the matching normalized eigenvector, as a Vec4 
with vanishing time/energy component. 
 
 
 
provides a listing of the above information. 
 
 

       
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 
 
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
 
 

      Thrust
       
 
Thrust is obtained by varying the thrust axis so that the longitudinal 
momentum component projected onto it is maximized, and thrust itself is 
then defined as the sum of absolute longitudinal momenta divided by 
the sum of absolute momenta. The major axis is found correspondingly 
in the plane transverse to thrust, and the minor one is then defined 
to be transverse to both. Oblateness is the difference between the major 
and the minor values. 
 

       
The calculation of thrust is more computer-time-intensive than e.g. 
linear sphericity, introduced above, and has no specific advantages except 
historical precedent. In the PYTHIA 6 implementation the search was 
sped up at the price of then not being guaranteed to hit the absolute 
maximum. The current implementation studies all possibilities, but at 
the price of being slower, with time consumption for an event with 
n particles growing like n^3. 
 

       
To do thrust analyses you have to set up a Thrust 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 
 
create a thrust analysis object, where 
 
tells which particles are analyzed, 
all final-state particles, 
all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() 
particle method), and 
 
only charged final-state particles. 
 
 
 
 
perform a thrust analysis, where 
is an object of the Event class, 
most likely the pythia.event one. 
 
 is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
 

      If the routine returns false the 
analysis failed, e.g. if too few particles are present to analyze. 
       
 

       
After the analysis has been performed, a few methods are available 
to return the result of the analysis of the latest event: 
 
 
 
 
 
 
 
 
gives the thrust, major, minor and oblateness values, respectively, 
 
 
 
gives the matching normalized event-axis vectors, for i = 1, 2 or 3 
corresponding to thrust, major or minor, as a Vec4 with 
vanishing time/energy component. 
 
 
 
provides a listing of the above information. 
 
 

       
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 
 
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
 
 

      ClusterJet
       
 
ClusterJet (a.k.a. LUCLUS and 
PYCLUS) is a clustering algorithm of the type used for 
analyses of e^+e^- events, see the PYTHIA 6 manual. All 
visible particles in the events are clustered into jets. A few options 
are available for some well-known distance measures. Cutoff 
distances can either be given in terms of a scaled quadratic quantity 
like y = pT^2/E^2 or an unscaled linear one like pT. 
 

       
Note that we have deliberately chosen not to include the e^+e^- 
equivalents of the Cambridge/Aachen and anti-kRT algorithms. 
These tend to be good at clustering the densely populated (in angle) 
cores of jets, but less successful for the sparsely populated transverse 
regions, where many jets may come to consist of a single low-momentum 
particle. In hadron collisions such jets could easily be disregarded, 
while in e^+e^- annihilation all particles derive back from the 
hard process. 
 

       
To do jet finding analyses you have to set up a ClusterJet 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 
 
create a ClusterJet instance, where 
distance measure, 
to be provided as a character string (actually, only the first character 
is necessary) 
the Lund pT distance, 
 
the JADE mass distance, and 
 
the Durham kT measure. 
 
 
 
tells which particles are analyzed, 
all final-state particles, 
all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), and 
 
only charged final-state particles. 
 
masses assumed for the particles 
used in the analysis 
all massless, 
photons are massless while all others are 
assigned the pi+- mass, and 
 
all given their correct masses. 
 
 
perform or not a early preclustering step, where nearby particles 
are lumped together so as to speed up the subsequent normal clustering. 
 
 
reassign all particles to the nearest jet each time after two jets 
have been joined. 
 
 
 
 
performs a jet finding analysis, where 
is an object of the Event class, 
most likely the pythia.event one. 
 
 
is the cutoff joining scale, below which jets are joined. Is given 
in quadratic dimensionless quantities. Either yScale 
or pTscale must be set nonvanishing, and the larger of 
the two dictates the actual value. 
 
 
is the cutoff joining scale, below which jets are joined. Is given 
in linear quantities, such as pT or m depending on 
the measure used, but always in units of GeV. Either yScale 
or pTscale must be set nonvanishing, and the larger of 
the two dictates the actual value. 
 
 
the minimum number of jets to be reconstructed. If used, it can override 
the yScale and pTscale values. 
 
 
the maximum number of jets to be reconstructed. Is not used if below 
nJetMin. If used, it can override the yScale 
and pTscale values. Thus e.g. 
nJetMin = nJetMax = 3 can be used to reconstruct exactly 
3 jets. 
 
 is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
 

      If the routine returns false the analysis failed, 
e.g. because the number of particles was smaller than the minimum number 
of jets requested. 
       
 

       
After the analysis has been performed, a few ClusterJet 
class methods are available to return the result of the analysis: 
 
 
gives the number of jets found, with jets numbered 0 through 
size() - 1. 
 
 
 
gives a Vec4 corresponding to the four-momentum defined by 
the sum of all the contributing particles to the i'th jet. 
 
 
 
the number of particles that have been clustered into the i'th jet. 
 
 
 
gives the index of the jet that the particle i of the event 
record belongs to, 
 
 
 
provides a listing of the reconstructed jets. 
 
 
 
the number of most recent clustering scales that have been stored 
for readout with the next method. Normally this would be five, 
but less if fewer clustering steps occurred. 
 
 
 
clustering scales, with distance(0) being the most 
recent one, i.e. normally the highest, up to distance(4) 
being the fifth most recent. That is, with n being the final 
number of jets, ClusterJet::size(), the scales at which 
n+1 jets become n, n+2 become n+1, 
and so on till n+5 become n+4. Nonexisting clustering 
scales are returned as zero. The physical interpretation of a scale is 
as provided by the respective distance measure (Lund, JADE, Durham). 
 
 

       
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 
 
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
 
 

      CellJet
       
 
CellJet (a.k.a. PYCELL) is a simple cone jet 
finder in the UA1 spirit, see the PYTHIA 6 manual. It works in an 
(eta, phi, eT) space, where eta is pseudorapidity, 
phi azimuthal angle and eT transverse energy. 
It will draw cones in R = sqrt(Delta-eta^2 + Delta-phi^2) 
around seed cells. If the total eT inside the cone exceeds 
the threshold, a jet is formed, and the cells are removed from further 
analysis. There are no split or merge procedures, so later-found jets 
may be missing some of the edge regions already used up by previous 
ones. Not all particles in the event are assigned to jets; leftovers 
may be viewed as belonging to beam remnants or the underlying event. 
It is not used by any experimental collaboration, but is closely 
related to the more recent and better theoretically motivated 
anti-kT algorithm Cac08. 
 

       
To do jet finding analyses you have to set up a CellJet 
instance, and then feed in events to it, one at a time. Especially note 
that, if you want to use the options where energies are smeared in 
order so emulate detector imperfections, you must hand in an external 
random number generator, preferably the one residing in the 
Pythia class. The results for the latest event are 
available as output from a few methods. 
 
 
create a CellJet instance, where 
 
the maximum +-pseudorapidity that the detector is assumed to cover. 
 
 
the number of equal-sized bins that the +-etaMax range 
is assumed to be divided into. 
 
 
the number of equal-sized bins that the phi range 
+-pi is assumed to be divided into. 
 
 
tells which particles are analyzed, 
all final-state particles, 
all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), 
and 
only charged final-state particles. 
 
 
strategy to smear the actual eT bin by bin, 
no smearing, 
smear the eT according to a Gaussian 
with width resolution * sqrt(eT), with the Gaussian truncated 
at 0 and upperCut * eT, 
smear the e = eT * cosh(eta) according 
to a Gaussian with width resolution * sqrt(e), with the 
Gaussian truncated at 0 and upperCut * e. 
 
 
see above. 
 
 
see above. 
 
 
completely neglect all bins with an eT < threshold. 
 
 
the random-number generator used to select the smearing described 
above. Must be handed in for smearing to be possible. If your 
Pythia class instance is named pythia, 
then &pythia.rndm would be the logical choice. 
 
 
 
 
performs a jet finding analysis, where 
is an object of the Event class, 
most likely the pythia.event one. 
 
 
is the minimum transverse energy inside a cone for this to be 
accepted as a jet. 
 
 
 is the size of the cone in (eta, phi) space drawn around 
the geometric center of the jet. 
 
 
the minimum eT in a cell for this to be acceptable as 
the trial center of a jet. 
 
 is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
 

      If the routine returns false the analysis failed, 
but currently this is not foreseen ever to happen. 
       
 

       
After the analysis has been performed, a few CellJet 
class methods are available to return the result of the analysis: 
 
 
gives the number of jets found, with jets numbered 0 through 
size() - 1, 
 
 
 
gives the eT of the i'th jet, where jets have been 
ordered with decreasing eT values, 
 
 
 
 
 
gives the eta and phi coordinates of the geometrical 
center of the i'th jet, 
 
 
 
 
 
gives the eta and phi coordinates of the 
eT-weighted center of the i'th jet, 
 
 
 
gives the number of particles clustered into the i'th jet, 
 
 
 
gives a Vec4 corresponding to the four-momentum defined 
by the eT and the weighted center of the i'th jet, 
 
 
 
gives a Vec4 corresponding to the four-momentum defined by 
the sum of all the contributing cells to the i'th jet, where 
each cell contributes a four-momentum as if all the eT is 
deposited in the center of the cell, 
 
 
 
gives the invariant mass of the i'th jet, defined by the 
pMassive above, 
 
 
 
provides a listing of the above information (except pMassless, 
for reasons of space). 
 
 

       
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
 
 

      SlowJet
       
 
SlowJet is a simple program for doing jet finding according 
to either of the kT, anti-kT, and Cambridge/Aachen 
algorithms, in a cylindrical coordinate frame. The name is obviously 
an homage to the FastJet program Cac06, Cac12. 
That package contains many more algorithms, with many more options, 
and, above all, is much faster. Therefore SlowJet 
is not so much intended for massive processing of data or Monte Carlo 
files as for simple first tests. Nevertheless, within the advertised 
capabilities of SlowJet, it has been checked to find 
identically the same jets as FastJet. The time consumption 
typically is around or below that to generate an LHC pp event 
in the first place, so is not prohibitive. But the time rises rapidly 
for large multiplicities, so obviously SlowJet can not 
be used for tricks like distributing a dense grid of pseudoparticles 
to be able to define jet areas, like FastJet can, and also 
not for events with much pileup or other noise. 
 

       
The recent introduction of fjcore, containing the core 
functionality of FastJet in a very much smaller package, 
has changed the conditions. It now is possible (even encouraged by the 
authors) to distribute the two fjcore files as part of the 
PYTHIA package. Therefore the SlowJet class doubles as a 
convenient front end to fjcore, managing the conversion 
back and forth between PYTHIA and FastJet variables. Some 
applications may still benefit from using the native codes, but the default 
now is to let SlowJet call on fjcore for the 
jet finding. 
 

       
The first step is to decide which particles should be included in the 
analysis, and with what four-momenta. The SlowJet constructor 
allows to pick a maximum pseudorapidity defined by the extent of the 
assumed detector, to pick among some standard options of which particles 
to analyze, and to allow for some standard mass assumptions, like that 
all charged particles have the pion mass. Obviously this is only a 
restricted set of possibilities. 
 

       
Full flexibility can be obtained by deriving from the base class 
SlowJetHook to write your own include method. 
This will be presented with one final-state particle at a time, and 
should return true for those particles that should be 
analyzed. It is also possible to return modified four-momenta and masses, 
to take into account detector smearing effects or particle identity 
misassignments, but you must respect E^2 - p^2 = m^2. 
 

       
Alternatively you can modify the event record itself, or a copy of it 
(if you want to keep the original intact). For instance, only final 
particles are considered in the analysis, i.e. particles with positive 
status code, so negative status code should then be assigned to those 
particles that you do not want to see analyzed. Again four-momenta and 
masses can be modified, subject to E^2 - p^2 = m^2. 
 

       
The jet reconstructions is then based on sequential recombination with 
progressive removal, using the E recombination scheme. To be 
more specific, the algorithm works as follows. 

         

      1. Each particle to be analyzed defines an original cluster. It has a 
well-defined four-momentum and mass at input. From this information the 
triplet (pT, y, phi) is calculated, i.e. the transverse momentum, 
rapidity and azimuthal angle of the cluster.
        2.  

      2. Define distance measures of all clusters i to the beam 
d_iB = pT_i^2p 
and of all pairs (i,j) relative to each other 
d_ij = min( pT_i^2p, pT_j^2p) DeltaR_ij^2 / R^2  
where 
DeltaR_ij^2 = (y_i - y_j)^2 + (phi_i - phi_j)^2. 
The jet algorithm is determined by the user-selected p value, 
where p = -1 corresponds to the anti-kT one, 
p = 0 to the Cambridge/Aachen one and p = 1 to the 
kT one. Also R is chosen by the user, to give an 
approximate measure of the size of jets. However, note that jets need 
not have a circular shape in (y, phi) space, so R 
can not straight off be interpreted as a jet radius.
        3.  

      3. Find the smallest of all d_iB and d_ij.
        4.  

      4. If this is a d_iB then cluster i is removed from 
the clusters list and instead added to the jets list. 
Optionally, a pTjetMin requirement is imposed, where only 
clusters with pT > pTjetMin are added to the jets list. 
If so, some of the analyzed particles will not be part of any final 
jet.
        5.  

      5. If instead the smallest measure is a d_ij then the 
four-momenta of the i and j clusters are added 
to define a single new cluster. Convert this four-momentum to a new 
(pT, y, phi) triplet and update the list of d_iB 
and d_ij.
        6.  

      6. Return to step 3 until no clusters remain.
        7.  

       
 

       
To do jet finding analyses you first have to set up a SlowJet 
instance, where the arguments of the constructor specifies the details 
of the subsequent analyses. Thereafter you can feed in events to it, 
one at a time, and have them analyzed by the analyze method. 
Information on the resulting jets can be extracted by a few different methods. 
The minimal procedure only requires one call per event to do the analysis. 
We will begin by presenting it, and only afterwards some extensions. 
 
 
create a SlowJet instance, where 
 
tells (half) the power of the transverse-momentum dependence of the 
distance measure, 
the anti-kT algorithm, 
the Cambridge/Aachen algorithm, and 
the kT algorithm. 
 
 
the R size parameter, which is crudely related to the radius of 
the jet cone in (y, phi) space around the center of the jet. 
 
 
the minimum transverse momentum required for a cluster 
to become a jet. By default all clusters become jets, and therefore 
all analyzed particles are assigned to a jet. 
For comparisons with perturbative QCD, however, it is only meaningful 
to consider jets with a significant pT. 
 
 
the maximum +-pseudorapidity that the detector is assumed to cover. 
If you pick a value above 20 there is assumed to be full coverage 
(obviously only meaningful for theoretical studies). 
 
 
tells which particles are analyzed, 
all final-state particles, 
all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), 
and 
only charged final-state particles. 
 
masses assumed for the particles 
used in the analysis 
all massless, 
photons are massless while all others are 
assigned the pi+- mass, and 
 
all given their correct masses. 
 
 
gives the possibility to send in your own selection routine for which 
particles should be part of the analysis; see further below on the 
SlowJetHook class. If this pointer is sent in nonzero, 
etaMax and massSet are disregarded, 
and select only gives the basic selection, to which 
the user can add further requirements. 
 
choice of code used for finding 
the jets. Does not affect the outcome of the analysis, but only the speed, 
and some more specialized options. 
use the fjcore package of 
FastJet 3.0.5. 
 
use the native SlowJet implementation, 
which gives a slower jet finding, but allows some extra options of 
step-by-step jet joining. 
 
 
definition of R 
distance between two jets. This switch is only meaningful for 
useFJcore = false; within the fjcore package 
the standard option below is always used. 
standard, as described above, 
DeltaR_ij^2 = (y_i - y_j)^2 + (phi_i - phi_j)^2. 
 
alternative, 
DeltaR_ij^2 = 2 (cosh(y_i - y_j) - cos(phi_i - phi_j)), 
which corresponds to the rim of the "deformed cone" giving a constant 
invariant mass between the two partons considered (for fixed 
masses and transverse momenta). 
 
 
 
 
 
performs a jet finding analysis, where 
is an object of the Event class, 
most likely the pythia.event one. 
 

      If the routine returns false the analysis failed, 
but currently this is not foreseen ever to happen. 
       
 

       
After the analysis has been performed, a few SlowJet 
class methods are available to return the result of the analysis: 
 
 
gives the original number of particles (and thus clusters) that the 
analysis starts with. 
 
 
 
gives the number of jets found, with jets numbered 0 through 
sizeJet() - 1, and ordered in terms of decreasing 
transverse momentum values w.r.t. the beam axis, 
 
 
 
gives the transverse momentum pT of the i'th jet, 
 
 
 
 
 
gives the rapidity y and azimuthal angle phi 
of the center of the i'th jet (defined by the vector sum 
of constituent four-momenta), 
 
 
 
 
 
gives a Vec4 corresponding to the four-momentum 
sum of the particles assigned to the i'th jet, and 
the invariant mass of this four-vector, 
 
 
 
gives the number of particles clustered into the i'th jet, 
 
 
 
gives a list of the indices of the particles that have been 
clustered into the i'th jet, 
 
 
 
gives a list of the indices of the particles that have been 
clustered into the i'th cluster, at the current stage of 
the clustering process,  
 
 
 
gives the index of the jet that the particle i of the event 
record belongs to, or -1 if there is no jet containing particle 
i, 
 
 
 
removes the i'th jet, 
 
 
 
provides a listing of the basic jet information from above. 
 
 

       
These are the basic methods. For more sophisticated usage 
it is possible to trace the clustering, one step at a time. 
It requires the native jet finding code, useFJcore = false 
in the constructor. If so, the setup method should be used 
to read in the event and find the initial smallest distance. Each subsequent 
doStep will then do one cluster joining and find the new 
smallest distance. You can therefore interrogate which clusters will be 
joined next before the joining actually is performed. Alternatively you 
can take several steps in one go, or take steps down to a predetermined 
number of jets plus remaining clusters. 
 
 
selects the particles to be analyzed, calculates initial distances, 
and finds the initial smallest distance. 
is an object of the Event class, 
most likely the pythia.event one. 
 

      If the routine returns false the setup failed, 
but currently this is not foreseen ever to happen. 
       
 
 
do the next step of the clustering. This can either be that two 
clusters are joined to one, or that a cluster is promoted to a jet 
(which is discarded if its pT value is below 
pTjetMin). 

      The routine will only return false if there are no 
clusters left, or if useFJcore = true. 
       
 
 
calls the doStep() method nStep times, 
if possible. Will return false if the list of clusters 
is emptied before then. The stored jet information is still perfectly 
fine; it is only the number of steps that is wrong. Will also return 
false if useFJcore = true. 
 
 
 
calls the doStep() method until a total of nStop 
jet and cluster objects remain. Will return false if this 
is not possible, specifically if the number of objects already is smaller 
than nStop when the method is called. The stored jet and 
cluster information is still perfectly fine; it only does not have the 
expected multiplicity. Will also return false if 
useFJcore = true. 
 
 
 
gives the total current number of jets and clusters. The jets are 
numbered 0 through sizeJet() - 1, while the clusters 
are numbered sizeJet() through sizeAll() - 1. 
(Internally jets and clusters are represented by two separate arrays, 
but are here presented in one flat range.) Note that the jets are ordered 
in decreasing pT, while the clusters are not ordered. 
When useFJcore = true there are no intermediate steps, and 
thus the number of clusters is zero (after jet finding). 
 
 

       
With this extension, the methods double pT(int i), 
double y(int i), double phi(int i), 
Vec4 p(int i), double m(int i) and 
int multiplicity(int i) can be used as before. 
Furthermore, list() generalizes 
 
 
provides a listing of the above information. 
 lists both jets and clusters if true, 
else only jets. 
 
 
  

       
Three further methods can be used to check what will happen next. 
 
 
 
 
 
 
if the next step is to join two clusters, then the methods give 
the (i,j, d_ij) values, if instead to promote 
a cluster to a jet then (i, -1, d_iB). 
If no clusters remain then (-1, -1, 0.). Note that 
the cluster numbers are offset as described above, i.e. they begin at 
sizeJet(), which of course easily could be subtracted off. 
Also note that the jet and cluster lists are (moderately) reshuffled 
in each new step. When useFJcore = true there are no 
intermediate steps, and thus these methods do not return meaningul 
information. 
 
  

       
Finally, and separately, the SlowJetHook class can be used 
for a more smart selection of which particles to include in the analysis. 
For instance, isolated and/or high-pT muons, electrons and 
photons should presumably be identified separately at an early stage, 
and then not clustered to jets. 
  

       
Technically, it works like with User Hooks. 
That is, PYTHIA contains the base class. You write a derived class. 
In the main program you create an instance of this class, and hand it 
in to SlowJet; in this case already as part of the 
constructor. 
 

       
The following methods should be defined in your derived class. 
 
 
 
 
the constructor and destructor need not do anything, and if so you 
need not write your own destructor. 
 
 
 
is the main method that you will need to write. It will be called 
once for each final-state particle in an event, subject to the 
value of the select switch in the SlowJet 
constructor. The value select = 2 may be convenient 
since then you do not need to remove e.g. neutrinos yourself, but 
use select = 1 for full control. The method should then 
return true if you want to see particle included in the 
jet clustering, and false if not. 
is the index in the event record of the 
currently studied particle. 
 
is an object of the Event class, 
most likely the pythia.event one, where the currently 
studied particle is found. 
 
 is at input the four-momentum of the 
currently studied particle. You can change the values, e.g. to take 
into account energy smearing in the detector, to define the initial 
cluster value, without corrupting the event record itself. 
 
 is at input the mass of the currently studied 
particle. You can change the value, e.g. to take into account 
particle misidentification, to define the initial cluster value, 
without corrupting the event record itself. Note that the changes of 
pSel and mSel must be coordinated such that 
E^2 - p^2 = m^2 holds. 
 
 
 

       
It is also possible to define further methods of your own. 
One such could e.g. be called directly in the main program before the 
analyze method is called, to identify and bookkeep 
some event properties you may not want to reanalyze for each 
individual particle. 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/EventStatistics.xml0000444000175000017500000001375712357055017017523 0ustar  sunsun 
 

      Event Statistics
       
 
At the end of the run you will want to write out the final statistics 
on number of events generated, the corresponding cross sections and 
the number of errors encountered. This is done either with the 
pythia.stat() method or the pythia.statistics() 
one, assuming pythia is an instance of the 
Pythia class.The former method is steered entirely by 
settings values, see here. 
The latter, deprecated one instead takes two arguments: 
  
 
write out statistics on cross sections and errors. This is based on 
calls to the methods below, for the two kinds of information. 
 
if true it allows a more extensive listing than the default 
one, see multiparton-interactions statistics below. 
 
 if true it implies that all counters, 
e.g on events generated and errors experienced, are reset to zero whenever 
the routine is called. The default instead is that all stored 
statistics information is unaffected by the call. 
Counters are automatically reset in each new Pythia::init() 
call, however, so the only time the reset option makes a 
difference is if statistics(...) is called several times 
in a (sub)run. 
 
 
 

      Cross-section statistics
       
 
The ProcessLevel::statistics() method cannot be accessed 
directly, but only via the Pythia::stat() and 
Pythia::statistics(...) calls above. 
When called it will loop over the list of existing processes, and for 
each write out name, code, the number of tried, selected and accepted 
events, the cross section and the estimated error on the latter. 
The three different event numbers are related to the Monte Carlo method 
used, whereby an initial upper estimate of the cross section is used to 
select a large number of trial phase-space points, whereof then not all 
survive. Rejections are normally done by the internal machinery, but can 
also be obtained by user hooks. 
Therefore: 

         

      • tried events reflect the original number of 
phase-space points probed, as part of the upper estimate;
        •  

      • selected events correspond to those that survive 
the internal Monte-Carlo selection procedure;
        •  

      • accepted events are those that also survive 
the additional user cuts.
        •  

       
In most runs there would be no user hooks implemented, and then the 
numbers of selected and of accepted events will agree. Aborted events 
(see below) usually appear in the selected statistics but not in the 
accepted one. 
 

       
For Les Houches events the total cross section will be correctly 
displayed; however the (optional) error value will not be used, so that 
the reported error will be smaller than the correct statistical ones, 
and often vanish completely. Furthermore, while the number of events 
is shown for each user process, the cross section is only for the sum 
of them. 
 

      Error messages
       
 
When Pythia is run, errors may occur, and give rise to warning messages. 
These may be of varying severity, as follows: 

         

      • Abort means things went seriously wrong, and the 
initialization or event generation failed. In the former case it is 
not possible to generate events at all, in the latter the current 
event is flawed and should be skipped. In either case the respective 
method, Pythia::init() or Pythia::next(), 
then also returns the value false. There are occasions 
where an abort may be deliberate, such as when a file of Les Houches 
Events is read and the end of the file is reached.
        •  

      • Error normally is less severe. Typically the program will 
back up one step and try again. There are cases where this is not possible, 
in particular during the initialization and the generation of a hard 
process, and then the error may be followed by an abort as a direct 
consequence (with two separate messages).
        •  

      • Warning is even less severe. In some cases the program will 
try again, with  good chances of success, in others no measure at all 
need to be taken.
        •  

       
 

       
The error messages is handled by a small part of the Info 
class. It is handed any abort, error or warning messages during the event 
generation phase, and will store each distinct message, with a counter 
for how many times it is issued. Thus it is possible to limit the number 
of identical messages issued, currently hardcoded so that each kind of 
error message is only printed once 
(static const int TIMESTOPRINT = 1). 
This can be overridden by the calling routine, so that all messages of 
this kind are shown, which is particularly relevant for the 
initialization  stage. 
The summary table printed by Pythia::statistics() 
provides a table with all the different messages issued, in 
alphabetical order, with the total number of times each was generated. 
 

      Multiparton-interactions statistics
       
 
If you call Pythia::statistics(true), i.e. with the first 
optional argument true, also statistics on multiparton 
interactions is printed, comprising a list of all allowed subprocesses 
with how many times each of them has been generated. For the nondiffractive 
process this also includes the hardest interaction, while else the 
hardest process is excluded from the statistics. (This is because 
the hardest process is of the same character and generated by the same 
machinery in the former case but not in the latter. Also, for the 
former case only, the standard statistics listing only lists 
nondiffractive as one single process, i.e. does not further specify 
the character of the hardest subprocess, so there is not any overlap 
between the two.) 
 
       
 
 
pythia8-8.1.86.orig/xmldoc/BoseEinsteinEffects.xml0000444000175000017500000001275612357055014020251 0ustar  sunsun 
 

      Bose-Einstein Effects
       
 
The BoseEinstein class performs shifts of momenta 
of identical particles to provide a crude estimate of 
Bose-Einstein effects. The algorithm is the BE_32 one described in 
Lon95, with a Gaussian parametrization of the enhancement. 
We emphasize that this approach is not based on any first-principles 
quantum mechanical description of interference phenomena; such 
approaches anyway have many problems to contend with. Instead a cruder 
but more robust approach is adopted, wherein BE effects are introduced 
after the event has already been generated, with the exception of the 
decays of long-lived particles. The trick is that momenta of identical 
particles are shifted relative to each other so as to provide an 
enhancement of pairs closely separated, which is compensated by a 
depletion of pairs in an intermediate region of separation. 
 

       
More precisely, the intended target form of the BE correlations in 
BE_32 is 
 
f_2(Q) = (1 + lambda * exp(-Q^2 R^2)) 
       * (1 + alpha * lambda * exp(-Q^2 R^2/9) * (1 - exp(-Q^2 R^2/4))) 
 
where Q^2 = (p_1 + p_2)^2 - (m_1 + m_2)^2. 
Here the strength lambda and effective radius R 
are the two main parameters. The first factor of the 
equation is implemented by pulling pairs of identical hadrons closer 
to each other. This is done in such a way that three-momentum is 
conserved, but at the price of a small but non-negligible negative 
shift in the energy of the event. The second factor compensates this 
by pushing particles apart. The negative alpha parameter is 
determined iteratively, separately for each event, so as to restore 
energy conservation. The effective radius parameter is here R/3, 
i.e. effects extend further out in Q. Without the dampening 
(1 - exp(-Q^2 R^2/4)) in the second factor the value at the 
origin would become f_2(0) = (1 + lambda) * (1 + alpha * lambda), 
with it the desired value f_2(0) = (1 + lambda) is restored. 
The end result can be viewed as a poor man's rendering of a rapidly 
dampened oscillatory behaviour in Q. 
 

       
Further details can be found in Lon95. For instance, the 
target is implemented under the assumption that the initial distribution 
in Q can be well approximated by pure phase space at small 
values, and implicitly generates higher-order effects by the way 
the algorithm is implemented. The algorithm is applied after the decay 
of short-lived resonances such as the rho, but before the decay 
of longer-lived particles. 
 

       
This algorithm is known to do a reasonable job of describing BE 
phenomena at LEP. It has not been tested against data for hadron 
colliders, to the best of our knowledge, so one should exercise some 
judgment before using it. Therefore by default the master switch 
HadronLevel:BoseEinstein is off. 
Furthermore, the implementation found here is not (yet) as 
sophisticated as the one used at LEP2, in that no provision is made 
for particles from separate colour singlet systems, such as 
W's and Z's, interfering only at a reduced rate. 
 

       
Warning: The algorithm will create a new copy of each particle 
with shifted momentum by BE effects, with status code 99, while the 
original particle with the original momentum at the same time will be 
marked as decayed. This means that if you e.g. search for all 
pi+- in an event you will often obtain the same particle twice. 
One way to protect yourself from unwanted doublecounting is to 
use only particles with a positive status code, i.e. ones for which 
event[i].isFinal() is true. 
   
 

      Main parameters
       

Assuming you have set HadronLevel:BoseEinstein = on,
you can regulate the detailed behaviour with the following settings.
 
 
Include effects or not for identical pi^+, pi^- 
and pi^0. 
 
 
 
Include effects or not for identical K^+, K^-, 
K_S^0 and K_L^0. 
 
 
 
Include effects or not for identical eta and eta'. 
 
 
 
The strength parameter for Bose-Einstein effects. On physical grounds 
it should not be above unity, but imperfections in the formalism 
used may require that nevertheless. 
 
 
 
The size parameter of the region in Q space over which 
Bose-Einstein effects are significant.  Can be thought of as 
the inverse of an effective distance in normal space, 
R = hbar / QRef, with R as used in the above equation. 
That is, f_2(Q) = (1 + lambda * exp(-(Q/QRef)^2)) * (...). 
 
 
 
Particle species with a width above this value (in GeV) are assumed 
to be so short-lived that they decay before Bose-Einstein effects 
are considered, while otherwise they do not. In the former case the 
decay products thus can obtain shifted momenta, in the latter not. 
The default has been picked such that both rho and 
K^* decay products would be modified. 
 
 
       
 
 
 
pythia8-8.1.86.orig/xmldoc/SettingsScheme.xml0000444000175000017500000005345112357055030017302 0ustar  sunsun 

      The Settings Scheme
       
 
The Settings class keeps track of all the flags, modes, 
parameters and words used during the event generation. As such, it 
serves all the Pythia program elements from one central 
repository. Accessing it allows the user to modify the generator 
behaviour. 
 

       
Each Pythia object has a public member settings 
of the Settings class. Therefore you access the 
settings methods as pythia.settings.command(argument), 
assuming that pythia is an instance of the Pythia 
class. Further, for the most frequent user tasks, Pythia 
methods have been defined, so that pythia.command(argument) 
would work, see further below. 
 

       
The central section on this page is the Operation one. The preceding 
concepts section is there mainly to introduce the basic structure and 
the set of properties that can be accessed. The subsequent sections 
provide a complete listing of the existing public methods, which most 
users probably will have little interaction with. 
 

      Concepts
       
 
We distinguish seven kinds of user-modifiable variables, by the way 
they have to be stored: 

         

      1. Flags are on/off switches, and are stored as bool.
        2.  

      2. Modes corresponds to a finite enumeration of separate options, 
and are stored as int.
        3.  

      3. Parameters take a continuum of values, and are stored as 
double. The shorthand notation parm is used in the C++ 
code and XML tags.
        4.  

      4. Words are simple character strings and are stored as 
string. No blanks or double quotation marks (") may 
appear inside a word, the former to simplify parsing of an input file 
and the latter not to cause conflicts with XML attribute delimiters. 
Currently the main application is to store file names.
        5.  

      5. Vectors of flags take a variable length, and are stored as 
vector<bool>. The shorthand notation fvec is used 
in the C++ code and XML tags. When the vector is input as a string, 
all the values have to be given as a comma-separated list with no blanks, 
to simplify parsing.
        6.  

      6. Vectors of modes take a variable length, and are stored as 
vector<int>. The shorthand notation mvec is used 
in the C++ code and XML tags. When the vector is input as a string, 
all the values have to be given as a comma-separated list with no blanks, 
to simplify parsing.
        7.  

      7. Vectors of parameters take a variable length and for each element 
a continuum of values, and are stored as vector<double>. 
The shorthand notation pvec is used in the C++ code and XML tag. 
When the vector is input as a string, all the values have to be given 
as a comma-separated list with no blanks, to simplify parsing.
        8.  

       
Note that all shorthands have been chosen four letters long. 
 

       
In general, each variable stored in Settings is associated 
with four kinds of information: 

         

      • The variable name, of the form class:name 
(or file:name, usually these agree), e.g. 
TimeShower:pTmin. The class/file part usually identifies 
the .xml file where the variable is defined, and the part of 
the program where it is used, but such a connection cannot be strictly 
upheld, since e.g. the same variable may be used in a few different 
cases (even if most of them are not).
        •  

      • The default value, set in the original declaration, and intended 
to represent a reasonable choice.
        •  

      • The current value, which differs from the default when the user so 
requests.
        •  

      • An allowed range of values, represented by meaningful 
minimum and maximum values. This has no sense for a flag,
an fvec or a word (and is not used there), is 
usually rather well-defined for a mode or mvec, 
but less so for a parm or pvec. Often the allowed 
range exaggerates the degree of our current knowledge, so as not to restrict 
too much what the user can do. One may choose not to set the lower or 
upper limit, in which case the range is open-ended.
        •  

       
 

       
Technically, the Settings class is implemented with the 
help of seven separate maps, one for each kind of variable, with the 
variable name used as key. 
 

      Operation
       
     
The normal flow of setting values is: 
 

         
 

         
      1.  
When a Pythia object pythia is created, 
the member pythia.settings is asked to scan the files 
listed in the Index.xml file in the xmldoc 
subdirectory. 
 

         
In all of the files scanned, lines beginning with 
<flag, <mode, <parm, 
<word, <fvec, <mvec or 
<pvec are identified, and the information on such a line 
is used to define a new flag, mode, parameter, word, or vector of flags, 
modes or parameters. To exemplify, consider a line 

         
<parm name="TimeShower:pTmin" default="0.5" min="0.1" max="2.0"> 

         
which appears in the TimeShower.xml file, and there 
defines a parameter TimeShower:pTmin with default value 
0.5 GeV and allowed variation in the range 0.1 - 2.0 GeV. The min 
and max values are optional. 
Important: the values in the .xml files should 
not be changed, except by the PYTHIA authors. Any changes should be 
done with the help of the methods described below. 

        2.  
 

         
      2.  
Between the creation of the Pythia object and the 
init call for it, you may use several alternative 
methods to modify some of the default values. The same variable 
can be changed several times. If so, it is the last read value 
that counts. The two special 
Tune:ee and 
Tune:pp modes and the 
Print:quiet flag 
are expanded to change several settings in one go, but these obey 
the same ordering rules. 
 

         
a) Inside your main program you can directly set values with 

         
    pythia.readString(string) 

         
where both the variable name and the value are contained inside 
the character string, separated by blanks and/or a =, e.g. 

         
    pythia.readString("TimeShower:pTmin = 1.0"); 

         
The match of the name to the database is case-insensitive. Names 
that do not match an existing variable are ignored. A warning is 
printed, however. Strings beginning with a non-alphanumeric character, 
like # or !, are assumed to be comments and are not processed at all. 
Values below the minimum or above the maximum are set at 
the respective border. For bool values, the following 
notation may be used interchangeably: 
true = on = yes = ok = 1, while everything else gives 
false (including but not limited to 
false, off, no and 0).
         
 

         
b) The Pythia readString(string) method 
actually does not do changes itself, but sends on the string either 
to the Settings class or to ParticleData. 
The former holds if the string begins with a letter, the latter 
if it begins with a digit. If desired, it is possible to communicate 
directly with the corresponding Settings method: 

         
    pythia.settings.readString("TimeShower:pTmin = 1.0"); 

         
In this case, changes intended for ParticleData 
would not be understood. 
 

         
c) Underlying the settings.readString(string) method are 
the settings-type-sensitive commands in the Settings, that 
are split by names containing flag, mode, 
parm or word. Thus, the example now reads 

         
    pythia.settings.parm("TimeShower:pTmin", 1.0); 

         
Such a form could be convenient e.g. if a parameter is calculated 
at the beginning of the main program, and thus is available as a 
variable rather than as a character string. 
Note that Boolean values must here be given as true or 
false i.e. there is less flexibility than with the 
previous methods. 
 

         
At the same level, there are several different methods available. 
These are included in the full description below, but normally the user 
should have no need for them. 
 

         
d) A simpler and more useful way is to collect all your changes 
in a separate file, with one line per change, e.g. 

         
    TimeShower:pTmin = 1.0 

         
Each line is read in as a string and processed with the methods already 
introduced. 
 
The file can be read by the 

         
    pythia.readFile(fileName); 

         
method (or an istream instead of a fileName). 
The file can freely mix commands to the Settings and 
ParticleData classes, and so is preferable. Lines with 
settings are handled by calls to the 
pythia.settings.readString(string) method. 
 

         
A file can make use of two extra features that are not available with the 
readString(...) method. One is the possibility to provide 
information for several distinct subruns.  
The other is the possibility to comment out a section of lines in the file. 
The first line of the commented section should then begin by /* 
and the last begin by */. This is reminiscent of the convention
used in C++ and other languages, but is not as powerful, in that it is not
possible to comment in or out parts of lines. It is only the first two 
non-blank characters of a line that are checked for a match, and a line
beginning with */ is counted as part of the commented section.  
To avoid mistakes it is best to keep /* and */ 
on lines of their own, optionally followed by comments, but not by commands.

        3.  
 

         
      3.  
In the pythia.init(...) call, many of the various other program 
elements are initialized, making use of the current values in the database. 
Once initialized, the common Settings database is likely not 
consulted again by these routines. It is therefore not productive to do 
further changes in mid-run: at best nothing changes, at worst you may 
set up inconsistencies. 
 

         
A routine reInit(fileName) is provided, and can be used to 
zero all the maps and reinitialize them from scratch. Such a call might be 
useful if several subruns are to be made with widely different parameter 
sets - normally the maps are only built from scratch once, namely when the 
Pythia() object is created. A more economical alternative is 
offered by resetAll(), however, which sets all variables back 
to their default values. 

        4.  
 

         
      4.  
You may at any time obtain a listing of all variables in the 
database by calling 

         
    pythia.settings.listAll(); 

         
The listing is strictly alphabetical, which at least means that names 
from the same file are kept together, but otherwise may not be so 
well-structured: important and unimportant ones will appear mixed. 
A more relevant alternative is 

         
    pythia.settings.listChanged(); 

         
where you will only get those variables that differ from their 
defaults. Or you can use 

         
    pythia.settings.list("string"); 

         
where only those variables with names that contain the string 
(case-insensitive match) are listed. Thus, with a string 
shower, the shower-related variables would be shown. 

        5.  
 

         
      5.  
The above listings are in a tabular form that cannot be read 
back in. Assuming you want to save all changed settings (maybe because 
you read in changes from several files), you can do that by calling 

         
    pythia.settings.writeFile(fileName); 

         
This file could then directly be read in by 
readFile(fileName) in a subsequent (identical) run. 
Some variants of this command are listed below. 

        6.  

       
 

      Methods
       
 
The complete list of methods and arguments is as follows. Most of the 
ones of interest to the user have already been mentioned above. 
Others can be used, but the same functionality is better achieved 
by higher-level routines. Some are part of the internal machinery, 
and should not be touched by user. 
 

       
Note that there is no Settings::readFile(...) method. 
The intention is that you should use Pythia::readFile(...). 
It parses and decides which individual lines should be sent on to 
Settings::readString(...). 
 
 
the constructor, which takes no arguments. Internal. 
 
 
 
initialize pointer to error-message database. Internal. 
 
 
 
read in the settings database. 
 
read in the settings from all the files listed in this file, and 
assumed to be located in the same subdirectory. 
 
 
By default nothing is done if the method has already been called once. 
If true the further settings read in are added to the current database. 
 
 
stream for error printout. 
 
Note: The method returns false if it fails. 
 
 
 
overwrite the existing database. 
 
read in the settings from all the files listed in this file, and 
assumed to be located in the same subdirectory. 
 
 
stream for error printout. 
 
Note: The method returns false if it fails. 
 
 
 
read in a string, and change the relevant quantity in the database. 
It is normally used indirectly, via 
Pythia::readString(...) and 
Pythia::readFile(...). 
 
the string to be interpreted as an instruction. 
 
 
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. 
 
 
stream for error printout. 
 
Note: the method returns false if it fails to 
make sense out of the input string. 
 
 
 
 
 
write current settings to a file or to an ostream. 
 
file or stream on which settings are written. 
 
 
normally only settings that have been changed are written, 
but if true then all settings are output. 
 
Note: the method returns false if it fails. 
 
 
 
 
 
 
 
list all or changed settings, or a group of them. 
 
list all those settings where the name contains 
the match (sub)string (case-insensitive). 
 
 
output stream for the listing. 
 
 
 
 
reset all current values to their defaults. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
return true if an entry of the given name and kind 
exists, else false. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
add an entry of the respective kind to the database. The name and default 
value(s) always has to be supplied, for Mode, Parm, 
MVec and PVec additionally if lower and/or 
upper limits are to be imposed and, if so, what those limit are. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
return the current value(s) of the respective setting. If the name 
does not exist in the database, a value false, 
0, 0., " ", or a 
vector of length 1 and value false, 0 or 
0., respectively, is returned. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
return the default value(s) of the respective setting. If the name 
does not exist in the database, a value false, 
0, 0., " ", or a 
vector of length 1 and value false, 0 or 
0., respectively, is returned. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
return a map of all settings of the respective type that contain the 
string "match" in its name. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
change the current value(s) of the respective setting to the provided 
new value(s). If lower or upper limits have been set, input values 
outside the allowed range are reinterpreted as being a the nearest 
limit. 
 
 
 
 
 
 
 
 
 
as above, but do not check lower and upper limits, so that the current 
value(s) can be put outside the intended borders. 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
 
reset the current value to the default one. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/CKKWLMerging.xml0000444000175000017500000015553312357055014016547 0ustar  sunsun 
 
 

      CKKW-L Merging
       
 
CKKW-L merging Lon01 allows for a consistent merging of parton 
showers with 
matrix elements to include multiple well-separated partons. The 
algorithm implemented  in PYTHIA is described in Lon11. To 
perform matrix element merging,  the user has to supply LHE 
files Alw07 for the hard process  and the corresponding 
process with up to N additional jets. 
 

       The usage of the merging procedure is illustrated in a few 
example main  programs 
(main81.cc, main82.cc, 
main83.cc, main84.cc and main85.cc, 
together with the input files main81.cmnd, 
main82.cmnd, main84.cmnd and 
main85.cmnd). These examples should of course only serve 
as  an illustration, and as such will not make use of the merging in 
all  possible ways. For full generality, the example programs link to 
LHAPDF,  FastJet and HepMC. Of course the user is welcome to  remove 
these dependencies. To remove the FastJet dependence, the functions 
calculating example observables have to be deleted. Removing the 
LHAPDF  dependence requires changing the cmnd input files to choose an 
inbuilt PDF,  as outlined in the 
PDF documentation.  The 
HepMC dependence can be removed by erasing the code allowing for HepMC 
output. 
 

       Please note that a detailed tutorial on merging in Pythia is available 
from 
 
http://home.thep.lu.se/~torbjorn/pythia8/mergingworksheet8160.pdf. 
 

       Three very short LHE files (w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe, w+_production_lhc_2.lhe) 
are included in the distribution. These files are not intended for 
physics  studies, but only serve as input for the example main 
programs. For  realistic studies, the user has to supply LHE files. 
 

       In the generation of LHE files, the value of the factorisation 
scale used in  the PDFs is not important, since the cross section will 
be multiplied by ratios  of PDFs to adjust to the PYTHIA starting 
scales. The same is true for the  renormalisation scale (and starting 
value αs(MZ))  used to evaluate 
αs. Coupling and scale choices by the user 
will be transferred to the merging routines. 
 

       Multi-jet events can suffer from infrared divergences in the 
calculation. Sensible matrix element generator (MEG) outputs should not 
contain phase space points in which the calculation is ill-defined, meaning 
infrared regions need to be removed by cuts. This is most conveniently done 
by disallowing the MEG to produce partons below a 
minimal parton-parton separation in a certain jet algorithm. Using 
dedicated cuts to regularise MEG output is of course possible as well. Any 
regularisation criterion defines the matrix element region: The parts of 
phase space in which the fixed order calculation is considered valid and 
preferable to the parton shower. Matrix element merging is combining 
MEG events in the matrix element region with parton shower events in regions 
outside the regularisation cut (often called parton shower region). Because 
the regularisation cut defines a boundary between the matrix element 
and parton shower regions, i.e. the regions to be merged into one inclusive 
sample, it is usually called  merging scale . Since many different 
cut choices may regularise the MEG calculation, many different merging scale 
definitions are possible. A few standard choices are listed below, as well as 
documentation on how to use a user-defined cut criterion. In combining matrix 
element and parton shower regions, the CKKW-L prescription tries to minimise 
the dependence on the merging scale. This can only be achieved if the 
combination of MEG events and parton shower populates the whole phase space. 
Additional cuts on the partons in the LHEF generation should hence be 
avoided as much as possible, meaning that the merging scale cut should always 
pose a more stringent cut than all other cuts on the partons. Of course, if 
the hard process itself is divergent, cuts need to be made. However, this 
should be chosen in such a way as to not exclude regions that will be 
available to the matrix elements with additional jets. An example is QCD 
di-jet production with additional jets: Say the 2 → 2 process is 
regularised with a pTmin cut of pTminCut = 100 GeV, and 
the 2 - >3 sample is regularised with a kTmin-cut of 
kTminCut = 50 GeV. This would mean that when reclustering 
the  emission in the 2 → 3 sample, we could end up with a 
pT value pTminNow of the 2 → 2 configuration with 
pTminCut > pTminNow, which is excluded in the 
2 → 2 sample. Thus, the 2 → 3 sample will include a 
Sudakov factor  not included in the 2 → 2 sample, resulting 
in merging scale  dependencies. Such dependencies can be avoided if 
the additional cuts on the hard process are minimal. 
 

       Of course, additional cuts on electroweak particles are 
allowed. These  should be the same for all samples with 
 0 <= n <= N  additional partons. 
 

       If it is not possible to generate LHE files with minimal cuts, 
the user can choose to use the MergingHooks structures in 
order to decide how much influence to attribute to parton shower 
histories in which the reclustered lowest multiplicity process does 
not pass the matrix element cuts. This is  described below. 
 

       When generating LHE files, we advise against putting 
unstable  particles (e.g. massive gauge bosons) in the final state. 
Rather, specify a  resonance by its decay products, e.g. if Les Houches 
events for the pp → Z + jets → e+e- + jets process 
are desired, generate the matrix element events with the Z decay 
included. From a physical  point of view, on-shell final massive gauge 
bosons should not be considered  part of a hard process, since only 
the boson decay products will be detectable.  Furthermore, 
non-narrow-width approximation contributions are not present if  the 
ME generator only produces on-shell bosons. Interference effects 
between  different production channels for the decay products would 
also be neglected.  These points seem an unnecessary restriction on 
the accuracy of the ME  calculation.  In addition, there is a 
technical reason for this strategy. Since  some matrix element 
generators choose to put additional information on  intermediate 
bosons into Les Houches events, depending on if they pass a certain 
criterion (e.g. being close to the mass shell), without exact 
knowledge of this  criterion, the only feasible way of bookkeeping the 
hard process is by  identifying outgoing decay products. 
 

       Despite these considerations, (massive) gauge bosons in the final state 
are allowed in the hard process definition. This is useful particularly for 
Higgs physics, when different decays of the Higgs boson need to be simulated 
after the LHEF generation. 
 

       For all merging purposes, processes with different charge of 
outgoing leptons are considered different processes. That means 
e.g. that e+νe+ jets and 
e-ν̄e + jets 
are considered independent processes. If the user wishes to generate 
distributions including effects of more than one  process, merged 
samples for all independent processes should be generated  separately 
and added afterwards. Alternatively, to combine simple processes, 
combined LHE files can be used in conjunction with flexible containers (see 
below). 
 

       When the matrix element merging is used to produce HepMC 
Dob01 files to be analysed  with RIVET Buc10, 
special care  needs to taken in how the cross section is read by RIVET 
(see below). 
 

       To specify the merging conditions, additionally information on 
the merging scale value and the functional definition of the merging 
scale is needed. A few  standard definitions of merging scales are 
available. We hope this makes the user interface less cumbersome. 
 

       Different choices intrinsic to the CKKW-L merging procedure might 
be relevant for the user as well. The base 
class MergingHooks gives the user the opportunity to 
define the functional form of the merging scale.  In the following, 
the usage of the merging machinery to consistently include LHE files 
with additional jets into PYTHIA  will be discussed. 
 


       

      Merging scale definitions
       
 

       The quickest way to include processes with additional jets is to 
produce LHE files with one of the standard ways to define the merging 
scale. Three standard ways to define a merging scale (minimal kT, 
minimal evolution pT and by three cuts) are implemented. All of these 
prescriptions are equivalent - different definitions have only been introduced 
for the convenience of users, who might be limited by which cuts can be used 
in the generation of LHE files. Below, we describe how to switch on and use 
these different merging scale definitions. 
 

      Merging with merging scale defined in kT:
       
 
 
If the additional jets in the LHE files have been regulated by 
a kT cut, the user can supply the merging scale definition by 
setting this flag to on. kT here and below means cutting on 
Durham kT for e+e-  collisions, and cutting on 
longitudinally invariant kT for hadronic  collisions. Please note 
that this particular merging scale definition will check kT between 
all pairs of u,d,c,s,b,g partons. 
 
 

       
Currently, the name longitudinally invariant kT is used 
for a few jet recombination algorithms with slightly different 
jet measures. A specific form can be chosen by setting the switch 
 
 
Precise functional definition of longitudinally 
invariant kT. For e+e- collisions, Durham kT is 
always defined by the square root of min{ 2*min[  
Ei2, Ej2] * [ 1 - 
cosθij] }, so that this switch will have no effect. 
 
 
 
 
 
 
The value of the D parameter needed in the definition of 
longitudinally invariant kT separation.
 
 
 
Maximal number of additional jets in the matrix element 
 
 
 
The value of the merging scale. The name is inspired by the scale in 
evolution equations, which is often called 't', and the suffix 'MS' stands 
for merging  scale.  In the particular case of kT-merging, this 
would be the value of the kT-cut  in GeV. For any merging scale 
definition, this input is considered the actual value of the merging 
scale. 
 
 
 
The string specifying the hard core process, in MG4/ME notation. 
 
 

       
If e.g. W + jets merging should be performed, set this to 
pp>e+ve (without white spaces or  quotation marks). 
This string may contain resonances in the MG/ME notation, e.g. for merging 
pp→Z W+→q q̄ e+νe + jets, 
the string pp>(z>jj)(w+>e+ve) would be applicable. 
 

       
A lot more flexible hard process definitions are possible. To not dwell too 
much on these details here, we will come back to the process string at the end 
of this section. 
 
 
 
Even easier, but highly non-general, is to perform the merging with 
MadGraph/MadEvent-produced LHE files, with a merging scale defined by 
a kT cut.  For this, set this switch to on. The merging scale 
value will be read from  the +1 jet LHE file by searching for the 
string ktdurham, and  extracting the value from  
value  = ktdurham. Also, the hard  process will be read from 
the +0 jet LHE file, from the line containing  the string @1 
(the tag specifying the first process in the  MadGraph process card). 
For this to work, PYTHIA should be initialised on LHE files called 
NameOfYourLesHouchesFile_0.lhe (+0 jet sample) and 
NameOfYourLesHouchesFile_1.lhe (+1 jet sample) and the 
same naming convention for LHE files with two or more additional jets. 
Since for this option, the merging scale value is read from the 
LHEF, no merging scale value needs to be supplied by setting  
Merging:TMS .  Also, the hard process is read from LHEF, the 
input Merging::Process does not have to be defined. 
However, the maximal number of merged jets still has to be supplied by 
setting Merging:nJetMax. 
 
 
 

      Merging with merging scale defined in Pythia evolution pT:
       
 
If the LHE file has been regularised by cutting on the minimal Pythia 
evolution pT in the state, this can also be used as a merging scale 
right away. For this, change the switch 
 
 
The merging scale is then defined by finding the minimal Pythia evolution 
pT between sets of radiator, emitted and recoiler partons. For this 
particular merging scale definition, u,d,c,s,b,g are considered 
partons. The Pythia evolution pT of a single three-parton set is 
defined by 

       
pTevol = zijk(1-zijk) 
   Qij2 for FSR, where i is the radiating 
   parton, j is the emitted parton and k is the recoiler, 
   and 
    Qij2 = 
      (pi + pj)2 , and 
   zijk = 
      xi,jk / (xi,jk + xj,ik) with 
   xi,jk = 
      2 pi (pi + pj + pk) 
        / (pi + pj + pk)2  

       
pTevol = (1-zijk) 
   Qij2 for ISR, where i is the radiating 
   parton, j is the emitted parton and k is the second 
   initial state parton, and 
    Qij2 = 
     -(pi - pj)2 , and 
   zijk = 
     (pi - pj + pk)2 
   / (pi + pk)2 . 
 

       
When using this option, the merging scale is defined by the minimum 
pTevol for all combinations of three partons in the event, 
irrespective of flavour or colour-connections. The merging scale value will 
be read from the Merging:TMS parameter, so that this needs to be 
set just as in the case of the kT-merging prescription. Of course you 
will also need to set Merging:Process and the maximal number of 
additional matrix element jets Merging:nJetMax. 
 
 

      Merging with merging scale defined by a combination of cuts:
       
 
It is possible to regularise QCD divergences in a LHE file by applying cuts 
to the kinematical pT of jets (pTi), combined 
with a cut on  ΔRij between jets and a cut on 
invariant mass  Qij of jet pairs. The combination of 
these standard cuts can also serve as a merging scale. For this, use this 
setting 
 
 
This switch will use cuts on (pTi), 
 ΔRij  and 
 Qij to define when parton shower emissions are allowed. 
Please note for this particular merging scale definition, only light jets 
(u,d,c,s,g) are checked. 
 
 

       
The values of the cuts will then be read from 
 
 
The value of the invariant mass cut  Qij of pairs of final 
state partons used in the matrix element generation. 
 
 
 
The value of the minimal transverse momentum cut  pTi on 
final state partons, as used in the matrix element generation. 
 
 
 
The value of the minimal  ΔRij separation between 
pairs of final state partons used in the matrix element generation, where 
 ΔRij2 = (Δyij)2 + 
(Δφij)2. 
 
 

       
With knowledge of these values, and Merging:doCutBasedMerging, 
Pythia will use these cuts as a separation between matrix element phase space 
and parton shower region. If e.g. the Les Houches Events have been generated 
with the cuts  ΔRij = 0.1 , 
pTi= 20 GeV and  Qij = 40 GeV, set 
Merging:QijMS=40., 
Merging:pTjMS=20., 
Merging:dRijMS=0.1 to perform a cut-based merging. Of course 
you will also need to set Merging:Process and the 
maximal number of additional matrix element jets 
Merging:nJetMax. 
 

      Les Houches events outside the matrix element region
       
 

       
Before continuing, we would like to point out that in general, the user 
should make sure that the events in the Les Houches file are actually 
calculated using the regularisation cut definition and value(s) supplied to 
Pythia as merging scale definition and value(s). However, if LH files with 
a large number of events and loose merging scale cuts are available, it 
might be useful to choose a higher merging scale value, e.g. for merging 
scale variations as part of uncertainty assessments. If CKKW-L merging is 
enabled, Pythia will by default check if events read from Les Houches file 
are in the matrix element region as defined by the merging scale definition 
and merging scale value. Events outside the matrix element region will be 
discarded. This will lead to warnings of the form "Les Houches Event 
fails merging scale cut. Cut by rejecting event". These warnings 
should, in this case, rather be regarded as information. 
To change the default behaviour, use the flag 
 
 
This will check if the events read from LHE file are in the matrix element 
region as defined by the merging scale definition and value(s). If on, LHE 
input outside the matrix element region will be rejected. If off, every 
event is assumed to pass the merging scale cut. 
 
 

      Defining the hard process
       
 
To perform CKKW-L matrix element merging, the user has to decide on a hard 
process, and communicate this choice to Pythia. This is done by setting the 
input Merging:Process 
  

       
For single processes in the Standard Model or the MSSM, MG4/ME notation is 
applicable. However, for some purposes, using a single simple process 
string is not satisfactory. Mixed W+ and W- events 
in a single LHE file is a common example. For this case, it would of course 
be perfectly allowed to perform twice, once for W+ production and 
once for W- production, and then add the results. Nevertheless, it 
seems reasonable to alleviate difficulties by allowing for less restrictive 
hard process definitions. Two generalisations of the process tag are 
available: Containers and user-defined particle tags. The syntax of these 
settings is described below. 
 

       
In case you want multiple processes in a LHE file to be treated on equal 
footing (e.g. W+ + jets and 
W- + jets), you should use flexible containers do 
specify the hard process. So far, we allow the use of the containers 
LEPTONS, NEUTRINOS, BQUARKS. If you 
use these containers, the hard process definition is relatively flexible, 
meaning that Pythia will attempt a merging of QCD jets for each event in 
the LHE file, and assume that all particles matching one of the containers 
are products of the hard process. This is best explained by examples. 
If you want to have both pp → e+ νe + jets 
and pp → e- ν̄e + jets events in a single 
file, you can set Merging:Process=pp>LEPTONS,NEUTRINOS as hard 
process (note that for readability, you are allowed to use commata to separate 
container names). Combining e.g. the processes 
pp → e+ νe and 
pp → μ+ νμ is possible with the hard process 
definition pp>LEPTONS,NEUTRINOS. 
 

       
For maximal flexibility, the definition of the hard process by these 
containers does not mean that each Les Houches event needs to contain 
particles to match each container. It is enough if one container is matched. 
This means that with the string pp>LEPTONS,NEUTRINOS, you can 
immediately process pp → e+ e-  events mixed with 
pp → e+ νe events, since particles matching at 
least one container can be found in both cases. Another example for the usage 
of containers is mixing pp → e+ νe and 
pp → tt̄ → e+ νe e- ν̄e 
  bb̄. This can be accommodated by the hard process string 
Merging:Process=pp>LEPTONS,NEUTRINOS,BQUARKS. 
 

       
There is however a conceptual limitation to containers: The hard process 
definition is necessary to ensure that when constructing lower multiplicity 
states (that will be used to calculate the correct merging weight), the 
structure of the hard process will be preserved. If e.g. we want the hard 
process to be pp → Z → bb̄ , we should ensure that 
the lowest multiplicity state contains a colour-singlet bb̄-pair. When 
reconstructing intermediate lower multiplicity states from multi-jet matrix 
elements, we should thus always be able to find at least one bb̄-pair. By 
mixing different processes in a LHE file, this requirement might already be 
violated at the level of Les Houches events. Flexible containers cannot give 
strong conditions which flavours should be preserved in the construction of 
the hard process. In order to avoid non-sensible results, it is hence  
assumed that all particles matching any of the containers will be part 
of the lowest multiplicity process. This implies that if you decide to use the 
BQUARKS container, all b-quarks in the LHE file will be 
interpreted as hard process particles, and never as additional radiation. 
 

       
Another way to specify the hard process particles is to explicitly define the 
particle names and identifiers. This is necessary if the matrix element 
merging in Pythia does not contain the particles of interest. To make sure 
that the hard process is still treated correctly, it is possible to define 
particles in the process string. If you e.g. want the hard process to contain 
a particle "zeta~" with PDG identifier "12345", produced in proton collisions, 
you have to include a user-defined particle tag by setting the process string 
to pp>{zeta~,12345}. The  user-defined particle is enclosed in 
curly brackets, with syntax 
{particle_name,particle_identifier}, where "particle_name" 
and "particle_identifier" are the particle name and particle identifier used 
for this particle in the input LHE file. User-defined particles are only 
allowed in the final state. You are free to fix user-defined particles with 
more common ones, as long as user-defined particles are put before more common 
particles in the process string. This means that if you e.g. wanted the hard 
process to contain a graviton in association with a positron and an 
electron-neutrino, you have to define the hard process as 
pp>{G,39}e+ve. 
 

       
Below you can find a list of particles predefined in the merging. If you wish 
to include a hard process with different final state particles, you may use 
the "curly bracket notation" outlined above. 
 

       
The set of incoming particles us limited to: 
e- (electron), e+ (positron), mu- 
(muon), mu+ (antimuon), p (proton, container to 
hold all initial state coloured particles),  p~ (identical to 
p container). 
 

       
The following intermediate particles are allowed: 
a (photon), z (Z boson), 
w- (W- boson), w+ (W+ boson), 
h (scalar Higgs boson), W (container to hold both 
W- and W+ boson), t (top quark), 
t~ (anti-top), 
dl, dl~, ul, ul~, 
sl, sl~, cl, cl~, 
b1, b1~, t1, t1~, 
dr, dr~, ur, ur~, 
sr, sr~, cr, cr~, 
b2, b2~, t2, t2~ 
(all MSSM squarks). 
 

       
We have pre-defined the outgoing particles: 
e+, e-, ve~, 
ve, mu+, mu-, 
vm~, vm, ta+, ta-, 
vt~, vt (all SM leptons and neutrinos), 
j~ (container to hold all final state coloured particles), 
j (container to hold all final state coloured particles), 
NEUTRINOS (container to hold all final state neutrinos and 
anti-neutrinos), LEPTONS (container to hold all final state 
leptons and anti-leptons), BQUARKS (container to hold final 
state b-quarks), d~, d, u~, 
u, s~, s, c~, 
c, b~, b, t~, 
t (all SM quarks), a, z, 
w-, w+ (all SM electro-weak bosons), 
h (scalar Higgs boson), W (container to hold both 
W- and W+ boson), n1 (MSSM neutralino), 
dl~, dl, ul~, ul, 
sl~, sl, cl~, cl, 
b1~, b1, t1~, t1, 
dr~, dr, ur~, ur, 
sr~, sr, cr~, cr, 
b2~, b2, t2~, t2 
(all MSSM squarks). Other outgoing particles are possible if you use the 
"curly bracket notation" described earlier. 
 


       

      Histogramming the events
       
After the event has been processed, histograms for observables of interest 
need to be filled. In order to achieve good statistical accuracy for all jet 
multiplicities and all subprocesses contributing to one jet multiplicity, 
generally a fixed number of unit-weighted events is read from each Les 
Houches Event file. To then arrive at the correct prediction, for each of 
these events, histogram bins should be filled with the corresponding cross 
section, or weighted with unit weight and normalised at the end to 
the generated cross section for each jet multiplicity separately. 
 

       Still another, even more important, event weight that has to 
applied on an  event-by-event basis is the CKKW-L-weight. This 
corrective weight is the main  outcome of the merging procedure and 
includes the correct no-emission  probabilities, PDF weights and 
αs factors. This means that the merging 
implementation will generate weighted events. The CKKW-L-weight can be 
accessed by the following function: 
 

       double Info::mergingWeight()   
       
Returns the CKKW-L weight for the current event. 
 

       Note that to avoid confusion, this function does not include the 
the weight of a phase space point (given 
by Info::weight()). This weight will differ from 
unity when reading in weighted Les Houches events. In this case, the 
full weight with which to fill histogram bins is 
Info::mergingWeight() * Info::weight(). 
 

       Finally, to arrive at a correct relative normalisation of the 
contributions from different number of additional jets in the matrix 
element, each histogram should be rescaled with the accepted cross 
section given by 
Info::sigmaGen(). The accepted cross section includes 
the  effect of vetoes generating Sudakov form factors for the matrix 
elements, and  is in general only known after the run. 
 

       This final step can of course be skipped if the accepted cross 
section had been estimated before the histogramming run, and  histogram 
bins had instead been filled with the weight 
Info::mergingWeight() * σest(number of 
additional jets in current ME sample). This is the way HepMC 
events should be weighted to produce correct relative weights of 
events (see below, and particularly examine the example programs 
main84.cc and main85.cc). 
 

       Examples how to use these options are given in main81.cc 
(kT merging), main84.cc (automatic MG/ME merging 
for RIVET usage), and main85.cc (HepMC output for RIVET usage). 
 


       

      Merging with user-defined merging scale function
       
 

       For all other merging scale definitions, the procedure is 
slightly more  complicated, since the user has to write a small piece 
of code defining the  merging scale. To allow for a user defined 
procedure, set the input 
 
 
General user defined merging on/off. 
 
 

       
Then, set 
the Merging:nJetMax, Merging:TMS 
and Merging:Process input as before. 
 

       Since during execution, PYTHIA needs to evaluate the merging 
scale with the  definition of the user, the user interface is designed 
in a way similar to the 
UserHooks strategy. The class controlling the merging 
scale  definition is called MergingHooks. 
 

      Initialisation
       
 

       To initialise the merging with user-defined merging scale, we 
should construct a class derived from MergingHooks, with 
a constructor and destructor 
 

       
 
 
 
 
The constructor and destructor do not need to do anything. 
 

       For the class to be called during execution, a pointer to an 
object of the class should be handed in with the 

       
Pythia::setMergingHooksPtr( MergingHooks*) method. 
 
An examples of this procedure are given in main82.cc. 
 

      Defining a merging scale
       
 

       Then, in the spirit of the UserHooks class, the user 
needs to  supply the process to be merged by defining a methods to 
evaluate the merging scale variable. 
 
 
This method will have to calculate the value of the merging scale 
defined in  some variable from the input event record. An example of 
such a function is  given in main82.cc. 
 
 

       The base class MergingHooks contains many functions 
giving  information on the hard process, to make the definition of the 
merging scale as easy as possible: 
 
 
Return the maximum number of additional jets to be merged. 
 
 
 
Returns the number of outgoing partons in the hard core process. 
 
 
 
Returns the number of outgoing leptons in the hard core process. 
 
 
 
Returns the number of incoming partons in the hard core process. 
 
 
 
Returns the number of incoming leptons in the hard core process. 
 
 
 
The number of resonances in the hard process reconstructed from the 
current event. If e.g. the ME configuration was 
pp → (w+→e+ve)(z → mu+mu-)jj, and the ME generator put 
both intermediate bosons into the LHE file, this will return 2. 
 
 
 
 Returns the value used as the merging scale. 
 
 

       Filling output histograms for the event then proceeds along the 
lines described above in "Histogramming the events". 
 

       The full procedure is outlined in main82.cc. Special 
care needs to be  taken when the output is stored in the form of HepMC 
files for RIVET usage. 
 

      Defining a cut on lowest jet multiplicity events
       
 

       It can sometimes happen that when generating LHE files, a fairly 
restrictive cut has been used when generating the lowest multiplicity 
matrix element  configurations. Then, it can happen that states that 
are (in the generation of a parton shower history) constructed by 
reclustering from higher multiplicity  configurations, do not pass 
this matrix element cut. 
 

       Consider as an example  pure QCD dijet merging, when up to one 
additional jet should be merged.  Three-jet matrix element 
configurations for which the reclustered two-jet state does not pass 
the cuts applied to the two-jet matrix element would never have  been 
produced by showering the two-jet matrix element. This means that the 
three-jet matrix element includes regions of phase space that would 
never have  been populated by the parton shower. Thus, since the 
matrix element phase space is larger than the shower phase space, 
merging scale dependencies are expected.  A priori, this is not 
troublesome, since the aim of matrix element merging is  to include 
regions of phase space outside the range of the parton shower 
approximation into the shower. An example is the inclusion of 
configurations  with only unordered histories. 
 

       Clearly, if the parton shower phase space is very constrained by 
applying  stringent cuts to the two-jet matrix element, merging scale 
dependencies can  become sizable, as was e.g. seen in Lon11 
when forcing shower emissions to be ordered both in the evolution 
variable and in rapidity. To  influence the effect of large phase 
space differences for shower emissions and matrix element 
configurations due to LHEF generation cuts, the user has to  write a 
small piece of code overwriting method 
 
 This routine will be supplied internally with the lowest 
multiplicity  reclustered state as an input Event. From this input 
event, the user can then check if matrix element cuts are 
fulfilled. The return value will be internally multiplied to the 
CKKW-L weight of the current event. Thus, if the user wishes  to 
suppress contributions not passing particular cuts, a number smaller 
than  unity can be returned. 
 
 

       Note that this method gives the user access to the lowest 
multiplicity state,  which ( e.g. in the case of incomplete histories) 
does not have to be a 2 → 2 configuration. Also, changing the 
weight of the current event by  hand is of course a major intervention 
in the algorithm, and should be  considered very carefully. Generally, 
if this facility would have to be used extensively, it is certainly 
preferable to be less restrictive when applying  additional, 
non-merging-scale-related cuts to the matrix element. 
 

       An example how to force a cut on lowest multiplicity reclustered 
states for pure QCD matrix element configurations is given by 
main83.cc (to be used with e.g. main82.cmnd). 
 

      Influencing the construction of all possible histories
       
 

       Even more powerful - and dangerous - is influencing the construction 
of histories directly. This should only be attempted by expert users. If you 
believe manipulations completely unavoidable, we advise you to take great care 
when redefining the following functions. 
 
 
In the base class this method returns false. If you redefine it 
to return true then the method doCutOnRecState(...) 
will be called for each reclustered state encountered in the generation of 
all possible histories of the matrix element state. 
 
 
 
This routine will be supplied internally with every possible reclustered 
event that can be reached by reclustering any number of partons in 
the matrix element input state. The new, reclustered, states can then be 
analysed. If the method returns false, the history to which the state belongs 
will be treated as if it were unordered, i.e. this path will only be chosen 
if no other histories are available. In this way, the number of histories 
not fulfilling the user criterion will be minimised. 
 
 

       
Clearly, these methods are highly intrusive. It could e.g. happen that no 
history is allowed, which would make merging impossible. One example where 
this method could be useful is if cuts on the core 2 → 2 
processes have to be checked, and the method 
MergingHooks::dampenIfFailCuts(const Event& event) is not 
sufficiently effective. 
 

      Defining the hard process matrix element
       
 

       The MergingHooks class also allows the expert user to define the matrix 
element of the hard process, by defining the method 
 
 
This routine will be supplied internally with the reconstructed 
lowest-multiplicity event. From this, it is possible to calculate the squared 
matrix element of the hard process, by using the information stored in the 
event record. The function should return a double value that 
corresponds to the matrix element at the phase space point given by the input 
event record. This number will then be multiplied to the product of splitting 
functions that define the probability of the current path of the parton 
shower history. In this way, the hard process configuration can be taken into 
account when choosing the parton shower history, which is, internally, used 
to generate the "merging weight". 
 
 

       The inclusion of the hard process matrix element into the choice 
of histories becomes relevant when the hard process matrix element has very 
strong phase space dependencies. QCD dijet cross sections for example strongly 
depend on the transverse momentum of the jets. So far, the authors have not 
encountered any changes upon inclusion of the full hard process matrix 
element, even for the QCD dijet case. 
 


       

      Matrix element merging and HepMC output for RIVET
       
 
Examples how to produce matrix element merged events to be analysed 
with RIVET are given by main84.cc and main85.cc. 
 

       The main issue is that the output of separate RIVET runs can not 
in general be combined. To perform a matrix element merging, we 
however need to runs over  different LHE files. The solution to this 
problem (so far) is to only perform  one RIVET run for all matrix 
elements, i.e. print the events for all ME parton  multiplicities, 
with the correct weights, to a single HepMC file. Since the correct 
weight includes the cross section of the different samples after 
Sudakov vetoes --- which is not a priori known --- the cross sections 
have to be  estimated in a test run, before the actual production run 
is performed. Finally, the cross section of the last event in the 
HepMC file has to be taken as the  full merged cross section 
sigma_merge = Sum_{i=0}^N Sum_{j=0}*^{nEvents} 
sigma_est(i)*wckkwl(j). 
 

       This procedure is outlined in main84.cc. 
 
Input LHE files with only very inclusive cuts pose further difficulties. For 
such files (which were already addressed under the heading Les Houches 
events outside the matrix element region), the cross section after 
the merging scale cut is not known before the cut is performed. Using Pythia's 
UserHooks facilities, it is possible to produce a valid estimate 
of the cross section after cuts. This however entails a careful cut definition 
by the user, which might become cumbersome for some in-built merging scale 
definitions. A reasonable alternative is using the switch 
 
 
If on, estimate cross section after merging scale cut. This switch has to be 
used in conjunction with a merging scale definition (e.g. 
Merging:doPTLundMerging = on). Then, this merging scale 
definition will be used as a cut on the input events. After the requested 
number of Monte Carlo events, the cross section after the cut can be extracted 
by inferring the Info::sigmaGen() method, and the number of 
accepted events by using Info::nAccepted() 
 
 

       
This switch also relies on knowledge on how many partons a LHE file should 
contain. This is important for real-emission kinematics in the case of 
NLO merging. The number of (additional) partons in a LHE file can be set with 
 
 
Exact number of additional jets requested for a particular LHE file. If 
a file should for example only contain W+ g g  events, 
this switch should be set to "2" for this LHE file. For NLO merging 
schemes (see NLO Merging), this number has to 
be set. 
 
 

       
The usage of these switches to obtain the necessary cross section estimate is 
illustrated in main85.cc. The example main85.cc 
program is intended as a "front-end" for CKKW-L merging in Pythia8, so we will 
discuss the program briefly. main85.cc should be used together 
with an input file (like main85.cmnd). The executable should be 
invoked with three arguments: the input file, the "name" of the input LHE 
files, and the name of the output HepMC event file. To use the LHE files that 
are shipped with the Pythia distribution, a valid usage would be 

       
./main85.exe ./main85.cmnd ./w_production ./myhepmc.hepmc 

       
If you want to use other input LHE files, note 
that main85.cc assumes the naming 
convention name_tree_#nAdditionalJets.lhe. All settings can 
be included though the input file, so that main85.cc does not 
have to be changed explicitly. main85.cc first switches off 
showers, multiparton interactions and hadronisation, and estimates the cross 
sections (after enforcing the merging scale cut) of samples for different 
numbers of additional jets. Then, showers, MPI and hadronisation are switched 
on again, and the CKKW-L merging procedure is performed. Events will be read 
in a decreasing sequence of jet multiplicities, which also means that e.g. 
events with two additional partons in the LHE file will be printed to the 
HepMC file before events with one additional parton. 
 


       

      Further variables
       
 
For more advanced manipulations of the merging machinery, all 
parameter  changes that were investigated in Lon11 are 
supplied. Please  check Lon11 for a detailed discussion of 
the switches. 
 

       These switches allow enthusiastic users to perform a systematic 
assessment of the merging prescription. Apart from this, we advise the 
non-expert user to keep the default values. 
 
 
This switch controls which quarks flavours (labelled by PDG id's) are 
considered additional partons. If e.g. set to 4, then u-, d-, c- and s-quarks 
will be merged, while b-quarks will not be considered in the merging 
(corresponding to a 4-flavour merging scheme). We advise caution when 
changing this number. In particular, please ensure that the allowed flavour 
for additional partons in the input LHE file does not exceed this value, since 
unnecessary double-counting might occur otherwise. 
 
 
 
If on, use the correct massive evolution variable and massive 
splitting kernels in the reconstruction and picking of parton shower 
histories of the matrix  element. If off, reconstruct evolution 
scales, kinematics and splitting kernels  as if all partons were 
massless. 
 
 
 
If on, preferably pick parton shower histories of the matrix element 
which  have strongly ordered consecutive splittings, i.e. paths in 
which consecutive reclustered evolution scales are separated by a 
user-defined factor. 
 
 
 
The factor by which scales should differ to be classified as strongly 
ordered. 
 
 
 
If on, preferably pick parton shower histories of the matrix element 
with  consecutive splittings ordered in rapidity and pT. 
 
 
 
If on, pick parton shower histories of the matrix element by the full 
shower  splitting kernels, including potential ME corrections and 
Jacobians from joined evolution measures. 
 
 
 
If on, pick parton shower histories of the matrix element by the 
shower  splitting kernels divided by the evolution pT. 
 
 
 
If on, exclusively pick parton shower histories of the matrix element 
for which have the smallest sum of scalar evolution pT for 
consecutive splittings has been calculated. 
 
 
 
If on, then also include PDF ratios and αs 
factors in the  splitting probabilities used for picking a parton shower 
history of the matrix  element, when picking histories by the full shower 
splitting probability. As argued in  Lon11, this should not 
be done since a reweighting with PDF ratios and αs 
factors will be performed. However, it can give useful insight in how 
sensitive the results  are to the prescription on how to choose PS 
histories. 
 
 
 
Normalisation factor with which to multiply splitting probability for 
splittings without joined evolution equation. 
 
 
 
Normalisation factor with which to multiply splitting probability for 
final state splittings with an initial state recoiler. 
 
 
 
Factor with which to multiply the scalar pT of a final state 
splitting, when choosing the history by the smallest sum of scalar 
pT. Default value taken from Herwig++ Tul09. 
 
 
 
Factor with which to multiply the scalar pT of an initial state 
splitting, when choosing the history by the smallest sum of scalar 
pT. Default value taken from Herwig++ Tul09. 
 
 
 
When the parton shower history of the matrix element contains a 
sequence of splittings which are not ordered in evolution pT 
(called an unordered history), this sequence is interpreted as a combined 
emission. Then, a decision on which starting scale for trial emissions 
off reconstructed states in this sequence of unordered splittings has 
to be made. Two options are available: 
 
 
 
 
 
Prescription which scale to use to evaluate αs 
weight for  splittings in a sequence of splittings which are not ordered 
in evolution pT. 
 
 
 
 
 
Prescription which scale to use to evaluate ratios of parton distributions 
for splittings in a sequence of splittings which are not ordered 
in evolution pT. 
 
 
 
 
 
When no complete parton shower history (i.e. starting from a 
2 → 2 process)  for a matrix element with additional jets 
can be found, such a configuration is said to have an incomplete history. 
Since in incomplete histories, not all  shower starting scales are 
determined by clusterings, a prescription for setting the starting scale 
of trial showers in incomplete histories is needed. Three options are 
provided. 
 
 
 
 
 
 
If on, this will allow the algorithm to swap one colour index in the state, 
when trying to find all possible clusterings, if no clustering has been 
found, but more clusterings had been requested. In this way, some incomplete 
histories can be avoided. Generally, we advise the non-expert user to not 
touch this switch, because a slight change in the colour structure can change 
the radiation pattern. To however study the sensitivity of the predictions on 
these effects, allowing for colour reshuffling can be useful. 
 
 
 
If on, this will allow the algorithm to use a dynamical renormalisation scale 
to evaluate the strong couplings of the core hard process in dijet and 
prompt photon events. 
This means that the value of αs used as coupling 
of the hard process in the matrix element generation will be replaced with 
a running coupling evaluated at the geometric mean of the squared transverse 
masses of the two outgoing particles, as is the default prescription in 
Pythia. 
 
 
 
If on, this will allow the algorithm to use a dynamical factorisation scale 
to evaluate parton distributions associated with the hadronic cross section 
of the core hard process in dijet and prompt photon events. 
In the calculation of PDF ratios as part of the CKKW-L weight of an event, 
parton distributions that should be evaluated at the scale of the core 
2 - >2 process will be evaluated using the dynamical factorisation scale 
Pythia would attribute to this process. This means that the hard process 
factorisation scale is set to the smaller of the squared transverse masses 
of the two outgoing particles. 
 
 
 
Remove products of resonances in the hard process, in case Pythia generates 
decay products before merging. This makes merging possible even for an 
indeterminate final state, if Pythia itself has produced the decay products. 
The merging methods will instead be invoked on the "non-decayed" event, 
thus removing the limitation to only one decay channel when performing 
the merging. 
This switch is necessary e.g. for slepton pair production in association with 
additional QCD jets, if the input LHE file contains the resonant sleptons, 
and Pythia decides on a decay according to the branching fractions read from 
SLHA input. 
 
 
 
Allow clustering of gluon emission off squarks. 
 
 
 
Allow clustering of W boson, if interpreted as a final state emission. This 
switch should not be used until electro-weak showers become available. 
 
 
 
 
 
pythia8-8.1.86.orig/xmldoc/mstw2008lo.00.dat0000444000175000017500000120437012357055023016403 0ustar  sunsun # Thu Nov  6 19:08:12 2008
 # MSTW 2008 LO PDF grid for central fit.
 # distance(t),tolerance(T) =   0.  0.
 # mCharm = 1.40
 # mBottom = 4.75
 # alphaS(1GeV) = 0.68183
 # alphaS(MZ) = 0.13939
 # alphaSorder,alphaSnfmax = 0, 5
 # nExtraFlavours = 0

          xg          xd          xu          xs          xc          xb         xdv         xuv         xsv
  1.3241E+02  1.1742E+00  1.1767E+00  4.8673E-01  0.0000E+00  0.0000E+00  1.9861E-04  2.6691E-03 -7.2535E-04
  1.3796E+02  1.7390E+00  1.7415E+00  1.0578E+00  0.0000E+00  0.0000E+00  2.1538E-04  2.7734E-03 -7.3571E-04
  1.4346E+02  2.1713E+00  2.1739E+00  1.4948E+00  0.0000E+00  0.0000E+00  2.2894E-04  2.8541E-03 -7.4354E-04
  1.5307E+02  2.7759E+00  2.7786E+00  2.1057E+00  0.0000E+00  0.0000E+00  2.4858E-04  2.9662E-03 -7.5416E-04
  1.5307E+02  2.7759E+00  2.7786E+00  2.1057E+00  1.4899E-06  0.0000E+00  2.4858E-04  2.9662E-03 -7.5416E-04
  1.6275E+02  3.3097E+00  3.3125E+00  2.6446E+00  6.0851E-01  0.0000E+00  2.6627E-04  3.0628E-03 -7.6309E-04
  1.7447E+02  3.8472E+00  3.8500E+00  3.1868E+00  1.1915E+00  0.0000E+00  2.8409E-04  3.1567E-03 -7.7157E-04
  1.8667E+02  4.3367E+00  4.3396E+00  3.6804E+00  1.7187E+00  0.0000E+00  3.0008E-04  3.2382E-03 -7.7880E-04
  2.0037E+02  4.8348E+00  4.8378E+00  4.1823E+00  2.2517E+00  0.0000E+00  3.1595E-04  3.3169E-03 -7.8565E-04
  2.1721E+02  5.4006E+00  5.4037E+00  4.7519E+00  2.8532E+00  0.0000E+00  3.3339E-04  3.4009E-03 -7.9285E-04
  2.3389E+02  5.9279E+00  5.9310E+00  5.2825E+00  3.4105E+00  0.0000E+00  3.4902E-04  3.4744E-03 -7.9904E-04
  2.5195E+02  6.4740E+00  6.4771E+00  5.8317E+00  3.9846E+00  0.0000E+00  3.6454E-04  3.5458E-03 -8.0496E-04
  2.6766E+02  6.9342E+00  6.9374E+00  6.2943E+00  4.4665E+00  0.0000E+00  3.7714E-04  3.6026E-03 -8.0962E-04
  3.2800E+02  8.6353E+00  8.6387E+00  8.0031E+00  6.2352E+00  0.0000E+00  4.2017E-04  3.7901E-03 -8.2463E-04
  3.2800E+02  8.6353E+00  8.6387E+00  8.0031E+00  6.2352E+00  1.7326E-07  4.2017E-04  3.7901E-03 -8.2463E-04
  3.4215E+02  9.0424E+00  9.0458E+00  8.4119E+00  6.6561E+00  5.2449E-01  4.2973E-04  3.8304E-03 -8.2780E-04
  3.8783E+02  1.0332E+01  1.0335E+01  9.7060E+00  7.9851E+00  1.9663E+00  4.5859E-04  3.9499E-03 -8.3703E-04
  4.4194E+02  1.1837E+01  1.1840E+01  1.1215E+01  9.5289E+00  3.6287E+00  4.8981E-04  4.0754E-03 -8.4651E-04
  4.9708E+02  1.3360E+01  1.3364E+01  1.2743E+01  1.1087E+01  5.2896E+00  5.1919E-04  4.1902E-03 -8.5501E-04
  5.5872E+02  1.5063E+01  1.5067E+01  1.4450E+01  1.2823E+01  7.1256E+00  5.4985E-04  4.3070E-03 -8.6349E-04
  6.1454E+02  1.6610E+01  1.6614E+01  1.6000E+01  1.4396E+01  8.7796E+00  5.7606E-04  4.4046E-03 -8.7045E-04
  6.8813E+02  1.8663E+01  1.8667E+01  1.8057E+01  1.6480E+01  1.0958E+01  6.0878E-04  4.5239E-03 -8.7882E-04
  7.5863E+02  2.0646E+01  2.0650E+01  2.0043E+01  1.8490E+01  1.3048E+01  6.3859E-04  4.6303E-03 -8.8614E-04
  8.2779E+02  2.2609E+01  2.2613E+01  2.2010E+01  2.0477E+01  1.5106E+01  6.6662E-04  4.7285E-03 -8.9280E-04
  9.2196E+02  2.5312E+01  2.5317E+01  2.4716E+01  2.3209E+01  1.7926E+01  7.0317E-04  4.8540E-03 -9.0118E-04
  1.0170E+03  2.8076E+01  2.8080E+01  2.7483E+01  2.5999E+01  2.0796E+01  7.3854E-04  4.9730E-03 -9.0897E-04
  1.1119E+03  3.0870E+01  3.0874E+01  3.0281E+01  2.8818E+01  2.3687E+01  7.7255E-04  5.0854E-03 -9.1621E-04
  1.2124E+03  3.3867E+01  3.3872E+01  3.3281E+01  3.1838E+01  2.6778E+01  8.0740E-04  5.1985E-03 -9.2338E-04
  1.3161E+03  3.7003E+01  3.7008E+01  3.6420E+01  3.4996E+01  3.0003E+01  8.4232E-04  5.3101E-03 -9.3034E-04
  1.4196E+03  4.0169E+01  4.0174E+01  3.9588E+01  3.8183E+01  3.3251E+01  8.7616E-04  5.4165E-03 -9.3689E-04
  1.5214E+03  4.3321E+01  4.3326E+01  4.2743E+01  4.1353E+01  3.6478E+01  9.0869E-04  5.5174E-03 -9.4301E-04
  1.6283E+03  4.6673E+01  4.6677E+01  4.6097E+01  4.4724E+01  3.9904E+01  9.4209E-04  5.6196E-03 -9.4912E-04
  1.7377E+03  5.0141E+01  5.0146E+01  4.9568E+01  4.8209E+01  4.3443E+01  9.7557E-04  5.7207E-03 -9.5509E-04
  1.8456E+03  5.3601E+01  5.3606E+01  5.3030E+01  5.1687E+01  4.6970E+01  1.0080E-03  5.8175E-03 -9.6073E-04
  1.9514E+03  5.7028E+01  5.7033E+01  5.6459E+01  5.5129E+01  5.0458E+01  1.0392E-03  5.9096E-03 -9.6604E-04
  2.0616E+03  6.0636E+01  6.0641E+01  6.0069E+01  5.8751E+01  5.4126E+01  1.0713E-03  6.0031E-03 -9.7137E-04
  2.1738E+03  6.4349E+01  6.4354E+01  6.3784E+01  6.2479E+01  5.7898E+01  1.1035E-03  6.0961E-03 -9.7660E-04
  2.2842E+03  6.8036E+01  6.8041E+01  6.7473E+01  6.6180E+01  6.1640E+01  1.1347E-03  6.1853E-03 -9.8157E-04
  2.3918E+03  7.1665E+01  7.1670E+01  7.1104E+01  6.9822E+01  6.5321E+01  1.1647E-03  6.2704E-03 -9.8626E-04
  2.5035E+03  7.5466E+01  7.5471E+01  7.4907E+01  7.3636E+01  6.9173E+01  1.1956E-03  6.3571E-03 -9.9098E-04
  2.6168E+03  7.9356E+01  7.9362E+01  7.8799E+01  7.7539E+01  7.3113E+01  1.2266E-03  6.4433E-03 -9.9564E-04
  2.7280E+03  8.3206E+01  8.3211E+01  8.2650E+01  8.1400E+01  7.7009E+01  1.2567E-03  6.5263E-03 -1.0001E-03
  2.8361E+03  8.6982E+01  8.6988E+01  8.6428E+01  8.5187E+01  8.0830E+01  1.2857E-03  6.6057E-03 -1.0043E-03
  2.9480E+03  9.0919E+01  9.0924E+01  9.0366E+01  8.9134E+01  8.4810E+01  1.3154E-03  6.6866E-03 -1.0085E-03
  3.0615E+03  9.4949E+01  9.4955E+01  9.4399E+01  9.3176E+01  8.8883E+01  1.3454E-03  6.7674E-03 -1.0127E-03
  3.1723E+03  9.8909E+01  9.8914E+01  9.8360E+01  9.7146E+01  9.2884E+01  1.3744E-03  6.8451E-03 -1.0167E-03
  3.2802E+03  1.0280E+02  1.0280E+02  1.0225E+02  1.0104E+02  9.6809E+01  1.4024E-03  6.9197E-03 -1.0205E-03
  3.3915E+03  1.0683E+02  1.0684E+02  1.0629E+02  1.0509E+02  1.0089E+02  1.4312E-03  6.9958E-03 -1.0244E-03
  7.5954E+01  1.0480E+00  1.0513E+00  4.3423E-01  0.0000E+00  0.0000E+00  3.4967E-04  3.6751E-03 -8.3334E-04
  7.9825E+01  1.3666E+00  1.3700E+00  7.5850E-01  0.0000E+00  0.0000E+00  3.8109E-04  3.8221E-03 -8.4524E-04
  8.3852E+01  1.6148E+00  1.6183E+00  1.0109E+00  0.0000E+00  0.0000E+00  4.0630E-04  3.9357E-03 -8.5422E-04
  9.1142E+01  1.9705E+00  1.9741E+00  1.3722E+00  0.0000E+00  0.0000E+00  4.4259E-04  4.0935E-03 -8.6640E-04
  9.1142E+01  1.9705E+00  1.9741E+00  1.3722E+00  8.9788E-07  0.0000E+00  4.4259E-04  4.0935E-03 -8.6640E-04
  9.8779E+01  2.2942E+00  2.2980E+00  1.7005E+00  3.7054E-01  0.0000E+00  4.7503E-04  4.2293E-03 -8.7662E-04
  1.0805E+02  2.6299E+00  2.6338E+00  2.0405E+00  7.3539E-01  0.0000E+00  5.0749E-04  4.3611E-03 -8.8632E-04
  1.1770E+02  2.9439E+00  2.9478E+00  2.3581E+00  1.0735E+00  0.0000E+00  5.3646E-04  4.4754E-03 -8.9458E-04
  1.2851E+02  3.2707E+00  3.2748E+00  2.6883E+00  1.4227E+00  0.0000E+00  5.6508E-04  4.5857E-03 -9.0240E-04
  1.4177E+02  3.6499E+00  3.6540E+00  3.0709E+00  1.8247E+00  0.0000E+00  5.9635E-04  4.7035E-03 -9.1061E-04
  1.5484E+02  4.0095E+00  4.0137E+00  3.4335E+00  2.2036E+00  0.0000E+00  6.2425E-04  4.8064E-03 -9.1766E-04
  1.6895E+02  4.3875E+00  4.3917E+00  3.8142E+00  2.5996E+00  0.0000E+00  6.5185E-04  4.9062E-03 -9.2441E-04
  1.8117E+02  4.7095E+00  4.7138E+00  4.1384E+00  2.9355E+00  0.0000E+00  6.7417E-04  4.9857E-03 -9.2970E-04
  2.2778E+02  5.9200E+00  5.9245E+00  5.3558E+00  4.1895E+00  0.0000E+00  7.4989E-04  5.2475E-03 -9.4675E-04
  2.2778E+02  5.9200E+00  5.9245E+00  5.3558E+00  4.1895E+00  1.2295E-07  7.4989E-04  5.2475E-03 -9.4675E-04
  2.3868E+02  6.2133E+00  6.2178E+00  5.6505E+00  4.4916E+00  3.7248E-01  7.6661E-04  5.3038E-03 -9.5034E-04
  2.7367E+02  7.1476E+00  7.1523E+00  6.5889E+00  5.4513E+00  1.4036E+00  8.1690E-04  5.4704E-03 -9.6079E-04
  3.1475E+02  8.2452E+00  8.2500E+00  7.6907E+00  6.5742E+00  2.6022E+00  8.7098E-04  5.6451E-03 -9.7151E-04
  3.5629E+02  9.3614E+00  9.3662E+00  8.8104E+00  7.7124E+00  3.8062E+00  9.2158E-04  5.8049E-03 -9.8111E-04
  4.0236E+02  1.0611E+01  1.0616E+01  1.0064E+01  8.9838E+00  5.1415E+00  9.7410E-04  5.9673E-03 -9.9066E-04
  4.4382E+02  1.1748E+01  1.1753E+01  1.1204E+01  1.0138E+01  6.3467E+00  1.0188E-03  6.1029E-03 -9.9850E-04
  4.9812E+02  1.3256E+01  1.3261E+01  1.2715E+01  1.1666E+01  7.9349E+00  1.0744E-03  6.2685E-03 -1.0079E-03
  5.4979E+02  1.4711E+01  1.4717E+01  1.4173E+01  1.3138E+01  9.4588E+00  1.1247E-03  6.4159E-03 -1.0161E-03
  6.0019E+02  1.6149E+01  1.6155E+01  1.5614E+01  1.4592E+01  1.0958E+01  1.1719E-03  6.5520E-03 -1.0236E-03
  6.6840E+02  1.8126E+01  1.8131E+01  1.7594E+01  1.6587E+01  1.3010E+01  1.2332E-03  6.7257E-03 -1.0329E-03
  7.3680E+02  2.0141E+01  2.0146E+01  1.9612E+01  1.8619E+01  1.5093E+01  1.2922E-03  6.8903E-03 -1.0416E-03
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  8.7616E+02  2.4344E+01  2.4350E+01  2.3821E+01  2.2854E+01  1.9419E+01  1.4064E-03  7.2018E-03 -1.0577E-03
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  4.1485E+00  4.2462E-01  4.7952E-01  1.6067E-01  7.1140E-02  0.0000E+00  1.4599E-01  2.0923E-01  1.1415E-03
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  7.4916E-01  3.3388E-01  3.7625E-01  6.9392E-02  0.0000E+00  0.0000E+00  1.4618E-01  1.9393E-01  6.3565E-04
  1.1753E+00  3.4109E-01  3.8653E-01  7.4935E-02  0.0000E+00  0.0000E+00  1.4839E-01  2.0019E-01  9.5451E-04
  1.4902E+00  3.4753E-01  3.9534E-01  8.0187E-02  0.0000E+00  0.0000E+00  1.5000E-01  2.0489E-01  1.1889E-03
  1.9022E+00  3.5743E-01  4.0848E-01  8.8568E-02  0.0000E+00  0.0000E+00  1.5208E-01  2.1120E-01  1.4974E-03
  1.9022E+00  3.5743E-01  4.0848E-01  8.8568E-02  2.3167E-08  0.0000E+00  1.5208E-01  2.1120E-01  1.4974E-03
  2.2207E+00  3.6659E-01  4.2040E-01  9.6555E-02  9.6077E-03  0.0000E+00  1.5375E-01  2.1645E-01  1.7480E-03
  2.5070E+00  3.7584E-01  4.3229E-01  1.0476E-01  1.8977E-02  0.0000E+00  1.5527E-01  2.2137E-01  1.9784E-03
  2.7374E+00  3.8405E-01  4.4276E-01  1.1214E-01  2.7344E-02  0.0000E+00  1.5651E-01  2.2551E-01  2.1689E-03
  2.9441E+00  3.9206E-01  4.5292E-01  1.1941E-01  3.5545E-02  0.0000E+00  1.5765E-01  2.2939E-01  2.3446E-03
  3.1484E+00  4.0064E-01  4.6376E-01  1.2727E-01  4.4372E-02  0.0000E+00  1.5880E-01  2.3342E-01  2.5239E-03
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  3.4625E+00  4.1533E-01  4.8224E-01  1.4085E-01  5.9575E-02  0.0000E+00  1.6064E-01  2.4007E-01  2.8134E-03
  3.5732E+00  4.2100E-01  4.8938E-01  1.4614E-01  6.5489E-02  0.0000E+00  1.6131E-01  2.4258E-01  2.9205E-03
  3.8904E+00  4.3924E-01  5.1231E-01  1.6330E-01  8.4623E-02  0.0000E+00  1.6336E-01  2.5051E-01  3.2507E-03
  3.8904E+00  4.3924E-01  5.1231E-01  1.6330E-01  8.4623E-02  1.7750E-09  1.6336E-01  2.5051E-01  3.2507E-03
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  4.2014E+00  4.6481E-01  5.4462E-01  1.8770E-01  1.1186E-01  3.2327E-02  1.6602E-01  2.6154E-01  3.6901E-03
  4.2934E+00  4.7422E-01  5.5661E-01  1.9678E-01  1.2203E-01  4.4178E-02  1.6696E-01  2.6565E-01  3.8477E-03
  4.3703E+00  4.8327E-01  5.6820E-01  2.0557E-01  1.3189E-01  5.5677E-02  1.6783E-01  2.6965E-01  3.9979E-03
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  4.4740E+00  4.9864E-01  5.8811E-01  2.2066E-01  1.4890E-01  7.5547E-02  1.6928E-01  2.7662E-01  4.2515E-03
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  4.5631E+00  5.2480E-01  6.2289E-01  2.4691E-01  1.7885E-01  1.1079E-01  1.7163E-01  2.8930E-01  4.6861E-03
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  4.5605E+00  5.3529E-01  6.3731E-01  2.5772E-01  1.9139E-01  1.2572E-01  1.7252E-01  2.9488E-01  4.8650E-03
  4.5504E+00  5.3988E-01  6.4377E-01  2.6254E-01  1.9704E-01  1.3249E-01  1.7290E-01  2.9746E-01  4.9451E-03
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  4.2804E+00  5.6688E-01  6.8569E-01  2.9324E-01  2.3469E-01  1.7911E-01  1.7486E-01  3.1667E-01  5.4797E-03
  4.2497E+00  5.6803E-01  6.8790E-01  2.9481E-01  2.3677E-01  1.8183E-01  1.7492E-01  3.1790E-01  5.5095E-03
  4.2195E+00  5.6902E-01  6.8986E-01  2.9619E-01  2.3864E-01  1.8430E-01  1.7496E-01  3.1905E-01  5.5366E-03
  4.1900E+00  5.6985E-01  6.9161E-01  2.9742E-01  2.4033E-01  1.8655E-01  1.7499E-01  3.2010E-01  5.5609E-03
  4.1596E+00  5.7059E-01  6.9327E-01  2.9858E-01  2.4195E-01  1.8873E-01  1.7500E-01  3.2114E-01  5.5844E-03
  4.1288E+00  5.7123E-01  6.9479E-01  2.9963E-01  2.4346E-01  1.9079E-01  1.7501E-01  3.2214E-01  5.6064E-03
  4.0989E+00  5.7175E-01  6.9615E-01  3.0057E-01  2.4483E-01  1.9268E-01  1.7500E-01  3.2307E-01  5.6264E-03
  4.0699E+00  5.7216E-01  6.9734E-01  3.0138E-01  2.4605E-01  1.9440E-01  1.7499E-01  3.2393E-01  5.6444E-03
  4.0402E+00  5.7250E-01  6.9847E-01  3.0215E-01  2.4723E-01  1.9606E-01  1.7497E-01  3.2477E-01  5.6617E-03
  8.0286E-01  3.4136E-01  3.9679E-01  6.2618E-02  0.0000E+00  0.0000E+00  1.6336E-01  2.2968E-01  3.0200E-03
  1.1468E+00  3.4800E-01  4.0768E-01  6.7811E-02  0.0000E+00  0.0000E+00  1.6516E-01  2.3704E-01  3.3546E-03
  1.3937E+00  3.5364E-01  4.1653E-01  7.2454E-02  0.0000E+00  0.0000E+00  1.6646E-01  2.4251E-01  3.5948E-03
  1.7075E+00  3.6196E-01  4.2919E-01  7.9551E-02  0.0000E+00  0.0000E+00  1.6814E-01  2.4979E-01  3.9035E-03
  1.7075E+00  3.6196E-01  4.2919E-01  7.9551E-02  1.9872E-08  0.0000E+00  1.6814E-01  2.4979E-01  3.9035E-03
  1.9408E+00  3.6939E-01  4.4025E-01  8.6069E-02  8.1481E-03  0.0000E+00  1.6947E-01  2.5577E-01  4.1475E-03
  2.1446E+00  3.7666E-01  4.5095E-01  9.2580E-02  1.5884E-02  0.0000E+00  1.7067E-01  2.6132E-01  4.3666E-03
  2.3042E+00  3.8297E-01  4.6015E-01  9.8306E-02  2.2647E-02  0.0000E+00  1.7164E-01  2.6595E-01  4.5438E-03
  2.4439E+00  3.8898E-01  4.6889E-01  1.0384E-01  2.9160E-02  0.0000E+00  1.7253E-01  2.7026E-01  4.7039E-03
  2.5783E+00  3.9530E-01  4.7804E-01  1.0971E-01  3.6055E-02  0.0000E+00  1.7341E-01  2.7468E-01  4.8639E-03
  2.6842E+00  4.0069E-01  4.8585E-01  1.1479E-01  4.2001E-02  0.0000E+00  1.7413E-01  2.7841E-01  4.9949E-03
  2.7771E+00  4.0580E-01  4.9324E-01  1.1963E-01  4.7676E-02  0.0000E+00  1.7479E-01  2.8190E-01  5.1146E-03
  2.8446E+00  4.0976E-01  4.9899E-01  1.2342E-01  5.2116E-02  0.0000E+00  1.7529E-01  2.8459E-01  5.2049E-03
  3.0285E+00  4.2214E-01  5.1701E-01  1.3542E-01  6.6197E-02  0.0000E+00  1.7678E-01  2.9298E-01  5.4742E-03
  3.0285E+00  4.2214E-01  5.1701E-01  1.3542E-01  6.6197E-02  1.3187E-09  1.7678E-01  2.9298E-01  5.4742E-03
  3.0548E+00  4.2465E-01  5.2068E-01  1.3788E-01  6.9093E-02  3.9556E-03  1.7706E-01  2.9468E-01  5.5266E-03
  3.1225E+00  4.3171E-01  5.3110E-01  1.4489E-01  7.7357E-02  1.3818E-02  1.7786E-01  2.9953E-01  5.6719E-03
  3.1761E+00  4.3853E-01  5.4130E-01  1.5177E-01  8.5514E-02  2.3619E-02  1.7860E-01  3.0432E-01  5.8090E-03
  3.2116E+00  4.4425E-01  5.4999E-01  1.5764E-01  9.2516E-02  3.2055E-02  1.7920E-01  3.0845E-01  5.9218E-03
  3.2361E+00  4.4958E-01  5.5820E-01  1.6319E-01  9.9191E-02  4.0126E-02  1.7974E-01  3.1241E-01  6.0251E-03
  3.2487E+00  4.5366E-01  5.6461E-01  1.6752E-01  1.0443E-01  4.6490E-02  1.8014E-01  3.1554E-01  6.1034E-03
  3.2556E+00  4.5819E-01  5.7187E-01  1.7243E-01  1.1043E-01  5.3801E-02  1.8056E-01  3.1915E-01  6.1897E-03
  3.2548E+00  4.6184E-01  5.7786E-01  1.7647E-01  1.1541E-01  5.9911E-02  1.8089E-01  3.2219E-01  6.2586E-03
  3.2490E+00  4.6490E-01  5.8299E-01  1.7993E-01  1.1972E-01  6.5225E-02  1.8116E-01  3.2485E-01  6.3161E-03
  3.2355E+00  4.6837E-01  5.8901E-01  1.8399E-01  1.2484E-01  7.1575E-02  1.8144E-01  3.2805E-01  6.3815E-03
  3.2172E+00  4.7126E-01  5.9421E-01  1.8748E-01  1.2930E-01  7.7163E-02  1.8165E-01  3.3089E-01  6.4359E-03
  3.1958E+00  4.7363E-01  5.9867E-01  1.9048E-01  1.3319E-01  8.2074E-02  1.8181E-01  3.3340E-01  6.4809E-03
  3.1707E+00  4.7569E-01  6.0275E-01  1.9321E-01  1.3681E-01  8.6680E-02  1.8192E-01  3.3578E-01  6.5204E-03
  3.1431E+00  4.7743E-01  6.0639E-01  1.9565E-01  1.4009E-01  9.0908E-02  1.8200E-01  3.3798E-01  6.5543E-03
  3.1145E+00  4.7883E-01  6.0953E-01  1.9775E-01  1.4297E-01  9.4658E-02  1.8203E-01  3.3995E-01  6.5819E-03
  3.0856E+00  4.7993E-01  6.1223E-01  1.9954E-01  1.4550E-01  9.7986E-02  1.8204E-01  3.4171E-01  6.6045E-03
  3.0549E+00  4.8084E-01  6.1468E-01  2.0118E-01  1.4785E-01  1.0112E-01  1.8202E-01  3.4338E-01  6.6237E-03
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  2.9921E+00  4.8205E-01  6.1872E-01  2.0387E-01  1.5190E-01  1.0662E-01  1.8191E-01  3.4634E-01  6.6519E-03
  2.9617E+00  4.8238E-01  6.2031E-01  2.0492E-01  1.5356E-01  1.0894E-01  1.8182E-01  3.4759E-01  6.6612E-03
  2.9303E+00  4.8258E-01  6.2173E-01  2.0586E-01  1.5511E-01  1.1114E-01  1.8172E-01  3.4879E-01  6.6684E-03
  2.8987E+00  4.8265E-01  6.2297E-01  2.0669E-01  1.5653E-01  1.1318E-01  1.8160E-01  3.4991E-01  6.6734E-03
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  2.8082E+00  4.8220E-01  6.2559E-01  2.0844E-01  1.5989E-01  1.1820E-01  1.8117E-01  3.5269E-01  6.6772E-03
  2.7780E+00  4.8187E-01  6.2620E-01  2.0885E-01  1.6082E-01  1.1966E-01  1.8100E-01  3.5351E-01  6.6755E-03
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  8.3523E-01  3.4718E-01  4.1757E-01  5.8021E-02  0.0000E+00  0.0000E+00  1.7335E-01  2.6125E-01  5.1600E-03
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  1.3227E+00  3.5812E-01  4.3741E-01  6.6930E-02  0.0000E+00  0.0000E+00  1.7612E-01  2.7545E-01  5.6697E-03
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  1.7510E+00  3.7127E-01  4.5984E-01  7.8498E-02  7.1387E-03  0.0000E+00  1.7878E-01  2.8981E-01  6.1327E-03
  1.9035E+00  3.7709E-01  4.6959E-01  8.3836E-02  1.3780E-02  0.0000E+00  1.7982E-01  2.9573E-01  6.3076E-03
  2.0200E+00  3.8202E-01  4.7780E-01  8.8446E-02  1.9494E-02  0.0000E+00  1.8066E-01  3.0061E-01  6.4450E-03
  2.1195E+00  3.8663E-01  4.8549E-01  9.2834E-02  2.4920E-02  0.0000E+00  1.8141E-01  3.0511E-01  6.5657E-03
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  2.2843E+00  3.9536E-01  5.0005E-01  1.0133E-01  3.5424E-02  0.0000E+00  1.8274E-01  3.1352E-01  6.7759E-03
  2.3453E+00  3.9905E-01  5.0627E-01  1.0502E-01  3.9987E-02  0.0000E+00  1.8328E-01  3.1707E-01  6.8583E-03
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  1.0656E+00  3.5101E-01  5.5431E-01  7.8762E-02  5.0103E-02  2.9134E-02  1.9500E-01  4.3436E-01  7.5412E-03
  1.0373E+00  3.4807E-01  5.5187E-01  7.8378E-02  5.0407E-02  2.9935E-02  1.9390E-01  4.3314E-01  7.4142E-03
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  9.8532E-01  3.4234E-01  5.4684E-01  7.7508E-02  5.0784E-02  3.1211E-02  1.9173E-01  4.3051E-01  7.1779E-03
  9.6038E-01  3.3943E-01  5.4417E-01  7.7017E-02  5.0884E-02  3.1736E-02  1.9061E-01  4.2905E-01  7.0633E-03
  9.3714E-01  3.3664E-01  5.4153E-01  7.6518E-02  5.0931E-02  3.2176E-02  1.8953E-01  4.2759E-01  6.9555E-03
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  7.4065E-01  3.0892E-01  5.1253E-01  7.0622E-02  4.9601E-02  3.4110E-02  1.7830E-01  4.1019E-01  5.9950E-03
  7.2694E-01  3.0668E-01  5.1000E-01  7.0096E-02  4.9393E-02  3.4130E-02  1.7735E-01  4.0860E-01  5.9238E-03
  7.1414E-01  3.0454E-01  5.0757E-01  6.9587E-02  4.9184E-02  3.4133E-02  1.7645E-01  4.0705E-01  5.8566E-03
  7.0135E-01  3.0236E-01  5.0507E-01  6.9067E-02  4.8962E-02  3.4124E-02  1.7552E-01  4.0546E-01  5.7889E-03
  8.6851E-01  3.7042E-01  5.2871E-01  3.8679E-02  0.0000E+00  0.0000E+00  2.0747E-01  4.2179E-01  1.1667E-02
  9.8210E-01  3.7226E-01  5.3737E-01  4.1466E-02  0.0000E+00  0.0000E+00  2.0939E-01  4.3005E-01  1.1469E-02
  1.0527E+00  3.7338E-01  5.4336E-01  4.3584E-02  0.0000E+00  0.0000E+00  2.1063E-01  4.3568E-01  1.1307E-02
  1.1289E+00  3.7450E-01  5.5069E-01  4.6403E-02  0.0000E+00  0.0000E+00  2.1201E-01  4.4249E-01  1.1076E-02
  1.1289E+00  3.7450E-01  5.5069E-01  4.6403E-02  1.0323E-08  0.0000E+00  2.1201E-01  4.4249E-01  1.1076E-02
  1.1705E+00  3.7502E-01  5.5607E-01  4.8662E-02  4.0748E-03  0.0000E+00  2.1290E-01  4.4748E-01  1.0872E-02
  1.1987E+00  3.7515E-01  5.6051E-01  5.0675E-02  7.5956E-03  0.0000E+00  2.1353E-01  4.5164E-01  1.0671E-02
  1.2149E+00  3.7497E-01  5.6378E-01  5.2275E-02  1.0444E-02  0.0000E+00  2.1391E-01  4.5473E-01  1.0496E-02
  1.2243E+00  3.7455E-01  5.6645E-01  5.3686E-02  1.3010E-02  0.0000E+00  2.1413E-01  4.5731E-01  1.0328E-02
  1.2285E+00  3.7386E-01  5.6880E-01  5.5052E-02  1.5555E-02  0.0000E+00  2.1424E-01  4.5965E-01  1.0148E-02
  1.2280E+00  3.7306E-01  5.7046E-01  5.6130E-02  1.7624E-02  0.0000E+00  2.1422E-01  4.6137E-01  9.9915E-03
  1.2243E+00  3.7212E-01  5.7173E-01  5.7073E-02  1.9492E-02  0.0000E+00  2.1410E-01  4.6276E-01  9.8408E-03
  1.2194E+00  3.7127E-01  5.7252E-01  5.7756E-02  2.0888E-02  0.0000E+00  2.1395E-01  4.6369E-01  9.7218E-03
  1.1929E+00  3.6786E-01  5.7387E-01  5.9605E-02  2.4951E-02  0.0000E+00  2.1313E-01  4.6575E-01  9.3362E-03
  1.1929E+00  3.6786E-01  5.7387E-01  5.9605E-02  2.4951E-02  4.1369E-10  2.1313E-01  4.6575E-01  9.3362E-03
  1.1832E+00  3.6701E-01  5.7392E-01  5.9923E-02  2.5719E-02  1.2361E-03  2.1288E-01  4.6600E-01  9.2547E-03
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  1.0873E+00  3.5802E-01  5.7126E-01  6.1688E-02  3.1134E-02  9.1747E-03  2.0996E-01  4.6585E-01  8.5575E-03
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  1.0261E+00  3.5173E-01  5.6749E-01  6.1982E-02  3.3332E-02  1.2690E-02  2.0767E-01  4.6404E-01  8.1677E-03
  9.9213E-01  3.4802E-01  5.6484E-01  6.1954E-02  3.4286E-02  1.4324E-02  2.0626E-01  4.6259E-01  7.9595E-03
  9.6218E-01  3.4461E-01  5.6220E-01  6.1832E-02  3.4998E-02  1.5612E-02  2.0493E-01  4.6106E-01  7.7791E-03
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  5.7883E-01  2.8589E-01  5.0016E-01  5.3487E-02  3.6237E-02  2.3472E-02  1.7911E-01  4.1928E-01  5.4563E-03
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  5.2828E-01  2.7520E-01  4.8685E-01  5.1421E-02  3.5413E-02  2.3511E-02  1.7396E-01  4.0965E-01  5.1210E-03
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  4.8613E-01  2.6551E-01  4.7439E-01  4.9491E-02  3.4533E-02  2.3362E-02  1.6918E-01  4.0051E-01  4.8312E-03
  8.4914E-01  3.7703E-01  5.6854E-01  3.1620E-02  0.0000E+00  0.0000E+00  2.2461E-01  4.7908E-01  1.1895E-02
  9.2503E-01  3.7671E-01  5.7495E-01  3.3925E-02  0.0000E+00  0.0000E+00  2.2607E-01  4.8540E-01  1.1529E-02
  9.6902E-01  3.7612E-01  5.7903E-01  3.5613E-02  0.0000E+00  0.0000E+00  2.2687E-01  4.8941E-01  1.1251E-02
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  1.0118E+00  3.7481E-01  5.8354E-01  3.7782E-02  8.6267E-09  0.0000E+00  2.2755E-01  4.9387E-01  1.0873E-02
  1.0290E+00  3.7325E-01  5.8638E-01  3.9452E-02  3.3776E-03  0.0000E+00  2.2776E-01  4.9675E-01  1.0556E-02
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  9.9142E-01  3.5870E-01  5.8827E-01  4.5402E-02  1.6478E-02  0.0000E+00  2.2440E-01  5.0068E-01  8.9574E-03
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  3.9390E-01  2.4913E-01  4.6867E-01  3.7205E-02  2.4988E-02  1.5641E-02  1.7112E-01  4.1002E-01  4.2884E-03
  3.8326E-01  2.4609E-01  4.6440E-01  3.6731E-02  2.4782E-02  1.5622E-02  1.6941E-01  4.0660E-01  4.2025E-03
  3.7340E-01  2.4320E-01  4.6032E-01  3.6277E-02  2.4578E-02  1.5593E-02  1.6778E-01  4.0333E-01  4.1221E-03
  3.6429E-01  2.4047E-01  4.5644E-01  3.5847E-02  2.4379E-02  1.5557E-02  1.6623E-01  4.0021E-01  4.0472E-03
  3.5530E-01  2.3772E-01  4.5252E-01  3.5411E-02  2.4173E-02  1.5513E-02  1.6467E-01  3.9704E-01  3.9726E-03
  3.4666E-01  2.3502E-01  4.4862E-01  3.4980E-02  2.3965E-02  1.5461E-02  1.6312E-01  3.9390E-01  3.9002E-03
  3.3858E-01  2.3245E-01  4.4490E-01  3.4569E-02  2.3762E-02  1.5405E-02  1.6164E-01  3.9089E-01  3.8320E-03
  3.3111E-01  2.3002E-01  4.4135E-01  3.4178E-02  2.3565E-02  1.5346E-02  1.6023E-01  3.8801E-01  3.7683E-03
  3.2369E-01  2.2757E-01  4.3776E-01  3.3782E-02  2.3363E-02  1.5281E-02  1.5881E-01  3.8510E-01  3.7046E-03
  8.2134E-01  3.8075E-01  6.0474E-01  2.5258E-02  0.0000E+00  0.0000E+00  2.4309E-01  5.3002E-01  1.1283E-02
  8.6863E-01  3.7812E-01  6.0825E-01  2.7238E-02  0.0000E+00  0.0000E+00  2.4346E-01  5.3354E-01  1.0811E-02
  8.9291E-01  3.7575E-01  6.1002E-01  2.8639E-02  0.0000E+00  0.0000E+00  2.4337E-01  5.3535E-01  1.0461E-02
  9.1176E-01  3.7203E-01  6.1123E-01  3.0380E-02  0.0000E+00  0.0000E+00  2.4277E-01  5.3671E-01  9.9972E-03
  9.1176E-01  3.7203E-01  6.1123E-01  3.0380E-02  7.2807E-09  0.0000E+00  2.4277E-01  5.3671E-01  9.9972E-03
  9.1189E-01  3.6845E-01  6.1122E-01  3.1672E-02  2.8304E-03  0.0000E+00  2.4186E-01  5.3693E-01  9.6180E-03
  9.0524E-01  3.6470E-01  6.1038E-01  3.2742E-02  5.1797E-03  0.0000E+00  2.4069E-01  5.3642E-01  9.2672E-03
  8.9513E-01  3.6124E-01  6.0906E-01  3.3533E-02  7.0153E-03  0.0000E+00  2.3948E-01  5.3547E-01  8.9756E-03
  8.8237E-01  3.5775E-01  6.0732E-01  3.4183E-02  8.6182E-03  0.0000E+00  2.3815E-01  5.3415E-01  8.7053E-03
  8.6619E-01  3.5389E-01  6.0501E-01  3.4761E-02  1.0160E-02  0.0000E+00  2.3658E-01  5.3235E-01  8.4283E-03
  8.5039E-01  3.5042E-01  6.0265E-01  3.5178E-02  1.1375E-02  0.0000E+00  2.3510E-01  5.3048E-01  8.1954E-03
  8.3390E-01  3.4698E-01  6.0007E-01  3.5505E-02  1.2441E-02  0.0000E+00  2.3358E-01  5.2843E-01  7.9775E-03
  8.2016E-01  3.4419E-01  5.9785E-01  3.5718E-02  1.3218E-02  0.0000E+00  2.3232E-01  5.2665E-01  7.8095E-03
  7.7198E-01  3.3480E-01  5.8956E-01  3.6149E-02  1.5374E-02  0.0000E+00  2.2787E-01  5.1997E-01  7.2875E-03
  7.7198E-01  3.3480E-01  5.8956E-01  3.6149E-02  1.5374E-02  2.3587E-10  2.2787E-01  5.1997E-01  7.2875E-03
  7.5975E-01  3.3275E-01  5.8760E-01  3.6191E-02  1.5761E-02  7.0355E-04  2.2686E-01  5.1839E-01  7.1814E-03
  7.2434E-01  3.2664E-01  5.8154E-01  3.6225E-02  1.6770E-02  2.3503E-03  2.2381E-01  5.1347E-01  6.8791E-03
  6.8807E-01  3.2018E-01  5.7476E-01  3.6128E-02  1.7625E-02  3.8396E-03  2.2051E-01  5.0796E-01  6.5801E-03
  6.5598E-01  3.1427E-01  5.6828E-01  3.5941E-02  1.8250E-02  5.0081E-03  2.1742E-01  5.0268E-01  6.3217E-03
  6.2458E-01  3.0828E-01  5.6145E-01  3.5670E-02  1.8752E-02  6.0309E-03  2.1423E-01  4.9710E-01  6.0729E-03
  5.9937E-01  3.0330E-01  5.5561E-01  3.5391E-02  1.9082E-02  6.7729E-03  2.1154E-01  4.9232E-01  5.8749E-03
  5.6991E-01  2.9727E-01  5.4833E-01  3.4994E-02  1.9388E-02  7.5544E-03  2.0824E-01  4.8636E-01  5.6450E-03
  5.4490E-01  2.9196E-01  5.4175E-01  3.4600E-02  1.9582E-02  8.1505E-03  2.0528E-01  4.8095E-01  5.4503E-03
  5.2285E-01  2.8711E-01  5.3563E-01  3.4207E-02  1.9705E-02  8.6264E-03  2.0256E-01  4.7590E-01  5.2785E-03
  4.9611E-01  2.8100E-01  5.2774E-01  3.3672E-02  1.9792E-02  9.1411E-03  1.9909E-01  4.6939E-01  5.0697E-03
  4.7221E-01  2.7530E-01  5.2024E-01  3.3139E-02  1.9814E-02  9.5454E-03  1.9581E-01  4.6318E-01  4.8820E-03
  4.5088E-01  2.7002E-01  5.1316E-01  3.2617E-02  1.9787E-02  9.8614E-03  1.9275E-01  4.5731E-01  4.7135E-03
  4.3057E-01  2.6480E-01  5.0604E-01  3.2078E-02  1.9720E-02  1.0123E-02  1.8968E-01  4.5139E-01  4.5517E-03
  4.1163E-01  2.5975E-01  4.9905E-01  3.1538E-02  1.9621E-02  1.0333E-02  1.8669E-01  4.4556E-01  4.3995E-03
  3.9456E-01  2.5503E-01  4.9241E-01  3.1018E-02  1.9500E-02  1.0492E-02  1.8387E-01  4.4002E-01  4.2609E-03
  3.7917E-01  2.5063E-01  4.8616E-01  3.0521E-02  1.9365E-02  1.0611E-02  1.8123E-01  4.3479E-01  4.1348E-03
  3.6439E-01  2.4626E-01  4.7988E-01  3.0017E-02  1.9210E-02  1.0704E-02  1.7858E-01  4.2953E-01  4.0125E-03
  3.5049E-01  2.4202E-01  4.7372E-01  2.9519E-02  1.9042E-02  1.0771E-02  1.7599E-01  4.2435E-01  3.8962E-03
  3.3782E-01  2.3804E-01  4.6787E-01  2.9044E-02  1.8870E-02  1.0814E-02  1.7355E-01  4.1942E-01  3.7891E-03
  3.2632E-01  2.3432E-01  4.6235E-01  2.8594E-02  1.8697E-02  1.0839E-02  1.7125E-01  4.1477E-01  3.6909E-03
  3.1517E-01  2.3061E-01  4.5681E-01  2.8140E-02  1.8514E-02  1.0849E-02  1.6895E-01  4.1009E-01  3.5947E-03
  3.0461E-01  2.2700E-01  4.5135E-01  2.7693E-02  1.8325E-02  1.0846E-02  1.6669E-01  4.0548E-01  3.5026E-03
  2.9491E-01  2.2359E-01  4.4617E-01  2.7268E-02  1.8138E-02  1.0831E-02  1.6455E-01  4.0109E-01  3.4172E-03
  2.8605E-01  2.2040E-01  4.4128E-01  2.6866E-02  1.7956E-02  1.0808E-02  1.6253E-01  3.9693E-01  3.3382E-03
  2.7739E-01  2.1721E-01  4.3635E-01  2.6462E-02  1.7768E-02  1.0776E-02  1.6051E-01  3.9275E-01  3.2605E-03
  2.6913E-01  2.1408E-01  4.3149E-01  2.6064E-02  1.7578E-02  1.0736E-02  1.5852E-01  3.8861E-01  3.1854E-03
  2.6150E-01  2.1113E-01  4.2687E-01  2.5686E-02  1.7393E-02  1.0692E-02  1.5663E-01  3.8468E-01  3.1155E-03
  2.5448E-01  2.0835E-01  4.2250E-01  2.5329E-02  1.7215E-02  1.0644E-02  1.5485E-01  3.8095E-01  3.0505E-03
  2.4758E-01  2.0557E-01  4.1809E-01  2.4969E-02  1.7032E-02  1.0591E-02  1.5305E-01  3.7718E-01  2.9861E-03
  2.4097E-01  2.0284E-01  4.1374E-01  2.4615E-02  1.6849E-02  1.0533E-02  1.5128E-01  3.7346E-01  2.9238E-03
  2.3482E-01  2.0025E-01  4.0960E-01  2.4278E-02  1.6672E-02  1.0474E-02  1.4960E-01  3.6991E-01  2.8654E-03
  2.2915E-01  1.9781E-01  4.0567E-01  2.3960E-02  1.6502E-02  1.0414E-02  1.4801E-01  3.6654E-01  2.8109E-03
  2.2354E-01  1.9535E-01  4.0169E-01  2.3639E-02  1.6329E-02  1.0351E-02  1.4640E-01  3.6313E-01  2.7567E-03
  7.8811E-01  3.8091E-01  6.3668E-01  1.9746E-02  0.0000E+00  0.0000E+00  2.6091E-01  5.7386E-01  1.0174E-02
  8.1317E-01  3.7595E-01  6.3673E-01  2.1507E-02  0.0000E+00  0.0000E+00  2.5963E-01  5.7393E-01  9.6509E-03
  8.2250E-01  3.7183E-01  6.3582E-01  2.2716E-02  0.0000E+00  0.0000E+00  2.5827E-01  5.7311E-01  9.2702E-03
  8.2366E-01  3.6580E-01  6.3335E-01  2.4173E-02  0.0000E+00  0.0000E+00  2.5593E-01  5.7089E-01  8.7737E-03
  8.2366E-01  3.6580E-01  6.3335E-01  2.4173E-02  6.1813E-09  0.0000E+00  2.5593E-01  5.7089E-01  8.7737E-03
  8.1174E-01  3.6034E-01  6.3022E-01  2.5217E-02  2.3876E-03  0.0000E+00  2.5356E-01  5.6809E-01  8.3742E-03
  7.9547E-01  3.5487E-01  6.2643E-01  2.6052E-02  4.3355E-03  0.0000E+00  2.5102E-01  5.6474E-01  8.0095E-03
  7.7847E-01  3.5000E-01  6.2262E-01  2.6648E-02  5.8344E-03  0.0000E+00  2.4864E-01  5.6138E-01  7.7098E-03
  7.6024E-01  3.4522E-01  6.1854E-01  2.7119E-02  7.1252E-03  0.0000E+00  2.4622E-01  5.5780E-01  7.4348E-03
  7.3933E-01  3.4007E-01  6.1381E-01  2.7518E-02  8.3488E-03  0.0000E+00  2.4353E-01  5.5366E-01  7.1556E-03
  7.2023E-01  3.3552E-01  6.0940E-01  2.7788E-02  9.3000E-03  0.0000E+00  2.4109E-01  5.4981E-01  6.9229E-03
  7.0122E-01  3.3109E-01  6.0490E-01  2.7984E-02  1.0124E-02  0.0000E+00  2.3868E-01  5.4589E-01  6.7071E-03
  6.8590E-01  3.2756E-01  6.0118E-01  2.8100E-02  1.0716E-02  0.0000E+00  2.3672E-01  5.4265E-01  6.5417E-03
  6.3483E-01  3.1595E-01  5.8825E-01  2.8255E-02  1.2322E-02  0.0000E+00  2.3011E-01  5.3142E-01  6.0338E-03
  6.3483E-01  3.1595E-01  5.8825E-01  2.8255E-02  1.2322E-02  1.8291E-10  2.3011E-01  5.3142E-01  6.0338E-03
  6.2266E-01  3.1346E-01  5.8535E-01  2.8247E-02  1.2602E-02  5.4513E-04  2.2867E-01  5.2891E-01  5.9317E-03
  5.8793E-01  3.0614E-01  5.7660E-01  2.8152E-02  1.3319E-02  1.8094E-03  2.2437E-01  5.2133E-01  5.6428E-03
  5.5318E-01  2.9855E-01  5.6718E-01  2.7950E-02  1.3905E-02  2.9368E-03  2.1984E-01  5.1318E-01  5.3599E-03
  5.2305E-01  2.9171E-01  5.5843E-01  2.7690E-02  1.4314E-02  3.8088E-03  2.1570E-01  5.0561E-01  5.1178E-03
  4.9405E-01  2.8487E-01  5.4944E-01  2.7367E-02  1.4624E-02  4.5612E-03  2.1150E-01  4.9784E-01  4.8867E-03
  4.7110E-01  2.7925E-01  5.4190E-01  2.7059E-02  1.4814E-02  5.0995E-03  2.0802E-01  4.9131E-01  4.7043E-03
  4.4464E-01  2.7253E-01  5.3266E-01  2.6646E-02  1.4970E-02  5.6579E-03  2.0381E-01  4.8332E-01  4.4940E-03
  4.2246E-01  2.6666E-01  5.2445E-01  2.6250E-02  1.5051E-02  6.0767E-03  2.0009E-01  4.7621E-01  4.3173E-03
  4.0310E-01  2.6135E-01  5.1690E-01  2.5867E-02  1.5084E-02  6.4056E-03  1.9671E-01  4.6967E-01  4.1624E-03
  3.7988E-01  2.5472E-01  5.0732E-01  2.5358E-02  1.5074E-02  6.7539E-03  1.9244E-01  4.6135E-01  3.9754E-03
  3.5935E-01  2.4860E-01  4.9832E-01  2.4861E-02  1.5020E-02  7.0205E-03  1.8847E-01  4.5353E-01  3.8085E-03
  3.4121E-01  2.4297E-01  4.8991E-01  2.4384E-02  1.4937E-02  7.2227E-03  1.8479E-01  4.4622E-01  3.6597E-03
  3.2409E-01  2.3745E-01  4.8155E-01  2.3898E-02  1.4826E-02  7.3843E-03  1.8115E-01  4.3894E-01  3.5177E-03
  3.0827E-01  2.3214E-01  4.7342E-01  2.3418E-02  1.4694E-02  7.5079E-03  1.7763E-01  4.3184E-01  3.3850E-03
  2.9411E-01  2.2722E-01  4.6577E-01  2.2959E-02  1.4550E-02  7.5961E-03  1.7434E-01  4.2516E-01  3.2648E-03
  2.8143E-01  2.2265E-01  4.5861E-01  2.2526E-02  1.4401E-02  7.6575E-03  1.7127E-01  4.1891E-01  3.1560E-03
  2.6934E-01  2.1815E-01  4.5147E-01  2.2091E-02  1.4239E-02  7.6988E-03  1.6823E-01  4.1266E-01  3.0511E-03
  2.5804E-01  2.1380E-01  4.4451E-01  2.1664E-02  1.4070E-02  7.7226E-03  1.6527E-01  4.0656E-01  2.9517E-03
  2.4780E-01  2.0974E-01  4.3795E-01  2.1260E-02  1.3902E-02  7.7312E-03  1.6249E-01  4.0081E-01  2.8606E-03
  2.3855E-01  2.0595E-01  4.3179E-01  2.0879E-02  1.3737E-02  7.7277E-03  1.5990E-01  3.9540E-01  2.7775E-03
  2.2964E-01  2.0220E-01  4.2563E-01  2.0498E-02  1.3565E-02  7.7139E-03  1.5731E-01  3.8999E-01  2.6964E-03
  2.2123E-01  1.9856E-01  4.1961E-01  2.0125E-02  1.3391E-02  7.6911E-03  1.5479E-01  3.8469E-01  2.6190E-03
  2.1355E-01  1.9514E-01  4.1392E-01  1.9772E-02  1.3222E-02  7.6617E-03  1.5242E-01  3.7967E-01  2.5476E-03
  2.0656E-01  1.9195E-01  4.0856E-01  1.9440E-02  1.3058E-02  7.6275E-03  1.5019E-01  3.7495E-01  2.4818E-03
  1.9977E-01  1.8877E-01  4.0319E-01  1.9107E-02  1.2891E-02  7.5874E-03  1.4796E-01  3.7021E-01  2.4172E-03
  1.9330E-01  1.8567E-01  3.9792E-01  1.8781E-02  1.2724E-02  7.5428E-03  1.4578E-01  3.6555E-01  2.3551E-03
  1.8735E-01  1.8275E-01  3.9293E-01  1.8473E-02  1.2564E-02  7.4956E-03  1.4372E-01  3.6114E-01  2.2974E-03
  1.8191E-01  1.8001E-01  3.8822E-01  1.8182E-02  1.2410E-02  7.4472E-03  1.4179E-01  3.5697E-01  2.2440E-03
  1.7657E-01  1.7727E-01  3.8349E-01  1.7891E-02  1.2253E-02  7.3951E-03  1.3984E-01  3.5278E-01  2.1912E-03
  1.7147E-01  1.7459E-01  3.7884E-01  1.7605E-02  1.2097E-02  7.3402E-03  1.3794E-01  3.4866E-01  2.1403E-03
  1.6674E-01  1.7206E-01  3.7442E-01  1.7334E-02  1.1948E-02  7.2855E-03  1.3613E-01  3.4473E-01  2.0927E-03
  1.6239E-01  1.6968E-01  3.7024E-01  1.7079E-02  1.1805E-02  7.2309E-03  1.3443E-01  3.4102E-01  2.0484E-03
  1.5811E-01  1.6730E-01  3.6603E-01  1.6823E-02  1.1661E-02  7.1739E-03  1.3271E-01  3.3728E-01  2.0045E-03
  7.5135E-01  3.7726E-01  6.6347E-01  1.5132E-02  0.0000E+00  0.0000E+00  2.7627E-01  6.1001E-01  8.8219E-03
  7.5889E-01  3.7004E-01  6.5962E-01  1.6740E-02  0.0000E+00  0.0000E+00  2.7293E-01  6.0620E-01  8.2945E-03
  7.5675E-01  3.6430E-01  6.5576E-01  1.7815E-02  0.0000E+00  0.0000E+00  2.7004E-01  6.0248E-01  7.9152E-03
  7.4473E-01  3.5614E-01  6.4932E-01  1.9077E-02  0.0000E+00  0.0000E+00  2.6566E-01  5.9637E-01  7.4264E-03
  7.4473E-01  3.5614E-01  6.4932E-01  1.9077E-02  5.2659E-09  0.0000E+00  2.6566E-01  5.9637E-01  7.4264E-03
  7.2422E-01  3.4899E-01  6.4292E-01  1.9954E-02  2.0220E-03  0.0000E+00  2.6164E-01  5.9038E-01  7.0379E-03
  7.0135E-01  3.4200E-01  6.3609E-01  2.0634E-02  3.6452E-03  0.0000E+00  2.5756E-01  5.8406E-01  6.6869E-03
  6.7985E-01  3.3591E-01  6.2974E-01  2.1104E-02  4.8764E-03  0.0000E+00  2.5392E-01  5.7823E-01  6.4011E-03
  6.5820E-01  3.3004E-01  6.2332E-01  2.1462E-02  5.9225E-03  0.0000E+00  2.5035E-01  5.7236E-01  6.1409E-03
  6.3455E-01  3.2379E-01  6.1619E-01  2.1750E-02  6.9006E-03  0.0000E+00  2.4647E-01  5.6587E-01  5.8787E-03
  6.1370E-01  3.1836E-01  6.0978E-01  2.1933E-02  7.6504E-03  0.0000E+00  2.4306E-01  5.6005E-01  5.6618E-03
  5.9352E-01  3.1313E-01  6.0341E-01  2.2053E-02  8.2909E-03  0.0000E+00  2.3973E-01  5.5429E-01  5.4617E-03
  5.7758E-01  3.0900E-01  5.9826E-01  2.2113E-02  8.7463E-03  0.0000E+00  2.3708E-01  5.4965E-01  5.3093E-03
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  5.1444E-01  2.9281E-01  5.7716E-01  2.2090E-02  1.0153E-02  4.2656E-04  2.2650E-01  5.3067E-01  4.7534E-03
  4.8134E-01  2.8458E-01  5.6593E-01  2.1937E-02  1.0663E-02  1.4072E-03  2.2102E-01  5.2060E-01  4.4935E-03
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  3.7413E-01  2.5521E-01  5.2341E-01  2.0793E-02  1.1609E-02  3.8830E-03  2.0099E-01  4.8257E-01  3.6649E-03
  3.5065E-01  2.4803E-01  5.1250E-01  2.0401E-02  1.1673E-02  4.2866E-03  1.9600E-01  4.7281E-01  3.4826E-03
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  2.9430E-01  2.2934E-01  4.8317E-01  1.9227E-02  1.1603E-02  5.0513E-03  1.8281E-01  4.4658E-01  3.0384E-03
  2.7677E-01  2.2301E-01  4.7295E-01  1.8786E-02  1.1512E-02  5.2279E-03  1.7828E-01  4.3743E-01  2.8972E-03
  2.6141E-01  2.1722E-01  4.6349E-01  1.8367E-02  1.1403E-02  5.3572E-03  1.7412E-01  4.2895E-01  2.7720E-03
  2.4703E-01  2.1158E-01  4.5415E-01  1.7946E-02  1.1274E-02  5.4560E-03  1.7004E-01  4.2057E-01  2.6531E-03
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  2.0179E-01  1.9212E-01  4.2110E-01  1.6408E-02  1.0685E-02  5.6130E-03  1.5581E-01  3.9087E-01  2.2671E-03
  1.9260E-01  1.8779E-01  4.1356E-01  1.6050E-02  1.0527E-02  5.6136E-03  1.5260E-01  3.8408E-01  2.1859E-03
  1.8431E-01  1.8376E-01  4.0649E-01  1.5713E-02  1.0372E-02  5.6041E-03  1.4961E-01  3.7771E-01  2.1117E-03
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  1.6302E-01  1.7276E-01  3.8690E-01  1.4777E-02  9.9146E-03  5.5325E-03  1.4139E-01  3.6003E-01  1.9164E-03
  1.5692E-01  1.6942E-01  3.8088E-01  1.4488E-02  9.7664E-03  5.4984E-03  1.3887E-01  3.5458E-01  1.8590E-03
  1.5139E-01  1.6631E-01  3.7522E-01  1.4218E-02  9.6247E-03  5.4619E-03  1.3653E-01  3.4947E-01  1.8064E-03
  1.4603E-01  1.6323E-01  3.6958E-01  1.3948E-02  9.4808E-03  5.4212E-03  1.3419E-01  3.4436E-01  1.7548E-03
  1.4095E-01  1.6023E-01  3.6406E-01  1.3684E-02  9.3381E-03  5.3778E-03  1.3191E-01  3.3936E-01  1.7055E-03
  1.3630E-01  1.5741E-01  3.5885E-01  1.3435E-02  9.2014E-03  5.3333E-03  1.2976E-01  3.3463E-01  1.6597E-03
  1.3204E-01  1.5477E-01  3.5395E-01  1.3202E-02  9.0714E-03  5.2888E-03  1.2775E-01  3.3018E-01  1.6175E-03
  1.2789E-01  1.5214E-01  3.4903E-01  1.2969E-02  8.9398E-03  5.2418E-03  1.2574E-01  3.2573E-01  1.5759E-03
  1.2394E-01  1.4958E-01  3.4422E-01  1.2740E-02  8.8097E-03  5.1932E-03  1.2378E-01  3.2135E-01  1.5358E-03
  1.2028E-01  1.4716E-01  3.3966E-01  1.2525E-02  8.6854E-03  5.1453E-03  1.2192E-01  3.1721E-01  1.4984E-03
  1.1693E-01  1.4490E-01  3.3536E-01  1.2322E-02  8.5675E-03  5.0983E-03  1.2017E-01  3.1330E-01  1.4638E-03
  1.1363E-01  1.4263E-01  3.3104E-01  1.2119E-02  8.4482E-03  5.0495E-03  1.1842E-01  3.0937E-01  1.4295E-03
  7.1233E-01  3.6986E-01  6.8421E-01  1.1383E-02  0.0000E+00  0.0000E+00  2.8778E-01  6.3810E-01  7.4089E-03
  7.0601E-01  3.6057E-01  6.7616E-01  1.2874E-02  0.0000E+00  0.0000E+00  2.8215E-01  6.3018E-01  6.9096E-03
  6.9504E-01  3.5335E-01  6.6920E-01  1.3849E-02  0.0000E+00  0.0000E+00  2.7760E-01  6.2342E-01  6.5543E-03
  6.7319E-01  3.4331E-01  6.5868E-01  1.4968E-02  0.0000E+00  0.0000E+00  2.7108E-01  6.1333E-01  6.1007E-03
  6.7319E-01  3.4331E-01  6.5868E-01  1.4968E-02  4.4935E-09  0.0000E+00  2.7108E-01  6.1333E-01  6.1007E-03
  6.4663E-01  3.3471E-01  6.4896E-01  1.5725E-02  1.7158E-03  0.0000E+00  2.6535E-01  6.0411E-01  5.7438E-03
  6.1935E-01  3.2643E-01  6.3911E-01  1.6298E-02  3.0723E-03  0.0000E+00  2.5974E-01  5.9483E-01  5.4243E-03
  5.9504E-01  3.1933E-01  6.3028E-01  1.6683E-02  4.0869E-03  0.0000E+00  2.5485E-01  5.8657E-01  5.1660E-03
  5.7142E-01  3.1255E-01  6.2159E-01  1.6966E-02  4.9380E-03  0.0000E+00  2.5014E-01  5.7848E-01  4.9324E-03
  5.4638E-01  3.0543E-01  6.1217E-01  1.7184E-02  5.7228E-03  0.0000E+00  2.4514E-01  5.6974E-01  4.6986E-03
  5.2482E-01  2.9930E-01  6.0385E-01  1.7313E-02  6.3163E-03  0.0000E+00  2.4080E-01  5.6204E-01  4.5063E-03
  5.0434E-01  2.9346E-01  5.9574E-01  1.7388E-02  6.8163E-03  0.0000E+00  2.3662E-01  5.5455E-01  4.3300E-03
  4.8841E-01  2.8887E-01  5.8926E-01  1.7417E-02  7.1673E-03  0.0000E+00  2.3333E-01  5.4859E-01  4.1962E-03
  4.3828E-01  2.7421E-01  5.6794E-01  1.7353E-02  8.0704E-03  0.0000E+00  2.2271E-01  5.2899E-01  3.7926E-03
  4.3828E-01  2.7421E-01  5.6794E-01  1.7353E-02  8.0704E-03  1.1287E-10  2.2271E-01  5.2899E-01  3.7926E-03
  4.2720E-01  2.7115E-01  5.6337E-01  1.7310E-02  8.2186E-03  3.3589E-04  2.2048E-01  5.2481E-01  3.7129E-03
  3.9624E-01  2.6229E-01  5.4995E-01  1.7138E-02  8.5801E-03  1.1016E-03  2.1397E-01  5.1251E-01  3.4895E-03
  3.6629E-01  2.5333E-01  5.3604E-01  1.6893E-02  8.8485E-03  1.7664E-03  2.0734E-01  4.9979E-01  3.2742E-03
  3.4107E-01  2.4541E-01  5.2351E-01  1.6625E-02  9.0119E-03  2.2666E-03  2.0145E-01  4.8835E-01  3.0928E-03
  3.1743E-01  2.3765E-01  5.1100E-01  1.6319E-02  9.1122E-03  2.6863E-03  1.9564E-01  4.7692E-01  2.9219E-03
  2.9912E-01  2.3137E-01  5.0073E-01  1.6044E-02  9.1536E-03  2.9783E-03  1.9091E-01  4.6754E-01  2.7887E-03
  2.7845E-01  2.2398E-01  4.8844E-01  1.5690E-02  9.1598E-03  3.2720E-03  1.8531E-01  4.5632E-01  2.6370E-03
  2.6147E-01  2.1762E-01  4.7772E-01  1.5363E-02  9.1320E-03  3.4846E-03  1.8048E-01  4.4654E-01  2.5110E-03
  2.4690E-01  2.1194E-01  4.6803E-01  1.5055E-02  9.0831E-03  3.6455E-03  1.7614E-01  4.3769E-01  2.4017E-03
  2.2974E-01  2.0494E-01  4.5595E-01  1.4656E-02  8.9934E-03  3.8081E-03  1.7077E-01  4.2665E-01  2.2713E-03
  2.1484E-01  1.9858E-01  4.4480E-01  1.4275E-02  8.8860E-03  3.9248E-03  1.6586E-01  4.1646E-01  2.1563E-03
  2.0189E-01  1.9279E-01  4.3454E-01  1.3917E-02  8.7687E-03  4.0066E-03  1.6138E-01  4.0708E-01  2.0548E-03
  1.8985E-01  1.8718E-01  4.2449E-01  1.3559E-02  8.6382E-03  4.0654E-03  1.5702E-01  3.9788E-01  1.9589E-03
  1.7887E-01  1.8185E-01  4.1483E-01  1.3210E-02  8.5000E-03  4.1037E-03  1.5286E-01  3.8904E-01  1.8702E-03
  1.6918E-01  1.7695E-01  4.0587E-01  1.2882E-02  8.3612E-03  4.1242E-03  1.4902E-01  3.8083E-01  1.7906E-03
  1.6061E-01  1.7245E-01  3.9757E-01  1.2575E-02  8.2251E-03  4.1319E-03  1.4548E-01  3.7322E-01  1.7192E-03
  1.5254E-01  1.6805E-01  3.8938E-01  1.2271E-02  8.0838E-03  4.1290E-03  1.4201E-01  3.6571E-01  1.6508E-03
  1.4506E-01  1.6384E-01  3.8148E-01  1.1976E-02  7.9416E-03  4.1176E-03  1.3868E-01  3.5846E-01  1.5867E-03
  1.3836E-01  1.5994E-01  3.7409E-01  1.1699E-02  7.8040E-03  4.0997E-03  1.3558E-01  3.5167E-01  1.5283E-03
  1.3236E-01  1.5633E-01  3.6722E-01  1.1441E-02  7.6723E-03  4.0770E-03  1.3271E-01  3.4536E-01  1.4754E-03
  1.2664E-01  1.5278E-01  3.6041E-01  1.1184E-02  7.5384E-03  4.0492E-03  1.2988E-01  3.3910E-01  1.4241E-03
  1.2128E-01  1.4935E-01  3.5380E-01  1.0935E-02  7.4055E-03  4.0175E-03  1.2714E-01  3.3301E-01  1.3755E-03
  1.1643E-01  1.4616E-01  3.4760E-01  1.0701E-02  7.2785E-03  3.9838E-03  1.2459E-01  3.2730E-01  1.3309E-03
  1.1204E-01  1.4320E-01  3.4180E-01  1.0483E-02  7.1580E-03  3.9490E-03  1.2220E-01  3.2196E-01  1.2902E-03
  1.0781E-01  1.4026E-01  3.3603E-01  1.0265E-02  7.0362E-03  3.9113E-03  1.1984E-01  3.1664E-01  1.2504E-03
  1.0381E-01  1.3742E-01  3.3040E-01  1.0054E-02  6.9161E-03  3.8720E-03  1.1755E-01  3.1145E-01  1.2123E-03
  1.0016E-01  1.3475E-01  3.2511E-01  9.8545E-03  6.8018E-03  3.8325E-03  1.1539E-01  3.0656E-01  1.1772E-03
  9.6836E-02  1.3227E-01  3.2014E-01  9.6682E-03  6.6936E-03  3.7936E-03  1.1338E-01  3.0198E-01  1.1448E-03
  9.3597E-02  1.2980E-01  3.1517E-01  9.4823E-03  6.5845E-03  3.7530E-03  1.1137E-01  2.9739E-01  1.1130E-03
  9.0525E-02  1.2739E-01  3.1032E-01  9.3011E-03  6.4771E-03  3.7115E-03  1.0942E-01  2.9290E-01  1.0824E-03
  8.7687E-02  1.2513E-01  3.0573E-01  9.1300E-03  6.3749E-03  3.6710E-03  1.0758E-01  2.8866E-01  1.0540E-03
  8.5094E-02  1.2301E-01  3.0142E-01  8.9698E-03  6.2783E-03  3.6316E-03  1.0585E-01  2.8467E-01  1.0277E-03
  8.2550E-02  1.2090E-01  2.9710E-01  8.8094E-03  6.1810E-03  3.5911E-03  1.0412E-01  2.8067E-01  1.0017E-03
  6.7196E-01  3.5900E-01  6.9826E-01  8.4110E-03  0.0000E+00  0.0000E+00  2.9460E-01  6.5809E-01  6.0499E-03
  6.5469E-01  3.4787E-01  6.8590E-01  9.8021E-03  0.0000E+00  0.0000E+00  2.8665E-01  6.4597E-01  5.5999E-03
  6.3696E-01  3.3936E-01  6.7581E-01  1.0695E-02  0.0000E+00  0.0000E+00  2.8045E-01  6.3617E-01  5.2823E-03
  6.0788E-01  3.2774E-01  6.6124E-01  1.1700E-02  0.0000E+00  0.0000E+00  2.7184E-01  6.2213E-01  4.8804E-03
  6.0788E-01  3.2774E-01  6.6124E-01  1.1700E-02  3.8355E-09  0.0000E+00  2.7184E-01  6.2213E-01  4.8804E-03
  5.7718E-01  3.1792E-01  6.4830E-01  1.2366E-02  1.4568E-03  0.0000E+00  2.6448E-01  6.0978E-01  4.5671E-03
  5.4712E-01  3.0860E-01  6.3554E-01  1.2859E-02  2.5917E-03  0.0000E+00  2.5742E-01  5.9766E-01  4.2885E-03
  5.2121E-01  3.0069E-01  6.2436E-01  1.3182E-02  3.4292E-03  0.0000E+00  2.5138E-01  5.8711E-01  4.0650E-03
  4.9667E-01  2.9323E-01  6.1355E-01  1.3414E-02  4.1227E-03  0.0000E+00  2.4565E-01  5.7692E-01  3.8639E-03
  4.7118E-01  2.8544E-01  6.0201E-01  1.3585E-02  4.7536E-03  0.0000E+00  2.3964E-01  5.6609E-01  3.6638E-03
  4.4963E-01  2.7880E-01  5.9197E-01  1.3680E-02  5.2241E-03  0.0000E+00  2.3449E-01  5.5669E-01  3.5002E-03
  4.2947E-01  2.7251E-01  5.8227E-01  1.3727E-02  5.6149E-03  0.0000E+00  2.2959E-01  5.4763E-01  3.3508E-03
  4.1395E-01  2.6760E-01  5.7461E-01  1.3739E-02  5.8856E-03  0.0000E+00  2.2575E-01  5.4048E-01  3.2379E-03
  3.6610E-01  2.5208E-01  5.4977E-01  1.3640E-02  6.5628E-03  0.0000E+00  2.1355E-01  5.1734E-01  2.8999E-03
  3.6610E-01  2.5208E-01  5.4977E-01  1.3640E-02  6.5628E-03  8.9276E-11  2.1355E-01  5.1734E-01  2.8999E-03
  3.5580E-01  2.4887E-01  5.4452E-01  1.3595E-02  6.6700E-03  2.6551E-04  2.1102E-01  5.1246E-01  2.8336E-03
  3.2724E-01  2.3964E-01  5.2922E-01  1.3423E-02  6.9236E-03  8.6582E-04  2.0370E-01  4.9824E-01  2.6486E-03
  2.9998E-01  2.3037E-01  5.1356E-01  1.3191E-02  7.0994E-03  1.3803E-03  1.9632E-01  4.8371E-01  2.4716E-03
  2.7730E-01  2.2226E-01  4.9960E-01  1.2944E-02  7.1945E-03  1.7622E-03  1.8984E-01  4.7077E-01  2.3233E-03
  2.5627E-01  2.1436E-01  4.8579E-01  1.2668E-02  7.2393E-03  2.0782E-03  1.8350E-01  4.5797E-01  2.1844E-03
  2.4013E-01  2.0802E-01  4.7454E-01  1.2424E-02  7.2437E-03  2.2949E-03  1.7839E-01  4.4754E-01  2.0767E-03
  2.2208E-01  2.0058E-01  4.6118E-01  1.2113E-02  7.2154E-03  2.5094E-03  1.7238E-01  4.3516E-01  1.9547E-03
  2.0737E-01  1.9423E-01  4.4962E-01  1.1828E-02  7.1651E-03  2.6617E-03  1.6723E-01  4.2445E-01  1.8539E-03
  1.9485E-01  1.8859E-01  4.3923E-01  1.1562E-02  7.1017E-03  2.7746E-03  1.6264E-01  4.1482E-01  1.7668E-03
  1.8021E-01  1.8168E-01  4.2636E-01  1.1221E-02  7.0011E-03  2.8855E-03  1.5700E-01  4.0288E-01  1.6634E-03
  1.6760E-01  1.7542E-01  4.1456E-01  1.0897E-02  6.8902E-03  2.9620E-03  1.5187E-01  3.9194E-01  1.5727E-03
  1.5672E-01  1.6976E-01  4.0378E-01  1.0595E-02  6.7747E-03  3.0125E-03  1.4723E-01  3.8193E-01  1.4930E-03
  1.4667E-01  1.6430E-01  3.9326E-01  1.0295E-02  6.6504E-03  3.0458E-03  1.4273E-01  3.7216E-01  1.4181E-03
  1.3757E-01  1.5914E-01  3.8322E-01  1.0004E-02  6.5220E-03  3.0639E-03  1.3847E-01  3.6283E-01  1.3490E-03
  1.2958E-01  1.5442E-01  3.7393E-01  9.7313E-03  6.3957E-03  3.0695E-03  1.3456E-01  3.5420E-01  1.2873E-03
  1.2255E-01  1.5010E-01  3.6538E-01  9.4784E-03  6.2735E-03  3.0662E-03  1.3097E-01  3.4625E-01  1.2321E-03
  1.1597E-01  1.4589E-01  3.5698E-01  9.2283E-03  6.1483E-03  3.0553E-03  1.2747E-01  3.3843E-01  1.1795E-03
  1.0990E-01  1.4188E-01  3.4890E-01  8.9864E-03  6.0237E-03  3.0384E-03  1.2412E-01  3.3091E-01  1.1303E-03
  1.0448E-01  1.3817E-01  3.4138E-01  8.7605E-03  5.9043E-03  3.0173E-03  1.2102E-01  3.2390E-01  1.0857E-03
  9.9662E-02  1.3475E-01  3.3441E-01  8.5505E-03  5.7910E-03  2.9934E-03  1.1816E-01  3.1740E-01  1.0453E-03
  9.5072E-02  1.3140E-01  3.2751E-01  8.3426E-03  5.6765E-03  2.9659E-03  1.1535E-01  3.1098E-01  1.0064E-03
  9.0796E-02  1.2818E-01  3.2085E-01  8.1413E-03  5.5638E-03  2.9359E-03  1.1264E-01  3.0476E-01  9.6960E-04
  8.6938E-02  1.2518E-01  3.1462E-01  7.9530E-03  5.4566E-03  2.9048E-03  1.1012E-01  2.9894E-01  9.3594E-04
  8.3464E-02  1.2241E-01  3.0881E-01  7.7776E-03  5.3555E-03  2.8736E-03  1.0778E-01  2.9352E-01  9.0523E-04
  8.0121E-02  1.1967E-01  3.0304E-01  7.6034E-03  5.2539E-03  2.8404E-03  1.0546E-01  2.8813E-01  8.7531E-04
  7.6971E-02  1.1702E-01  2.9744E-01  7.4344E-03  5.1541E-03  2.8062E-03  1.0322E-01  2.8289E-01  8.4678E-04
  7.4106E-02  1.1454E-01  2.9217E-01  7.2758E-03  5.0595E-03  2.7724E-03  1.0113E-01  2.7796E-01  8.2051E-04
  7.1503E-02  1.1224E-01  2.8725E-01  7.1277E-03  4.9703E-03  2.7394E-03  9.9171E-02  2.7336E-01  7.9637E-04
  6.8974E-02  1.0996E-01  2.8234E-01  6.9802E-03  4.8808E-03  2.7053E-03  9.7228E-02  2.6876E-01  7.7268E-04
  6.6582E-02  1.0774E-01  2.7755E-01  6.8368E-03  4.7930E-03  2.6708E-03  9.5341E-02  2.6428E-01  7.5001E-04
  6.4378E-02  1.0565E-01  2.7303E-01  6.7017E-03  4.7097E-03  2.6373E-03  9.3566E-02  2.6004E-01  7.2893E-04
  6.2369E-02  1.0371E-01  2.6880E-01  6.5754E-03  4.6312E-03  2.6049E-03  9.1908E-02  2.5607E-01  7.0950E-04
  6.0402E-02  1.0177E-01  2.6456E-01  6.4492E-03  4.5524E-03  2.5718E-03  9.0252E-02  2.5210E-01  6.9032E-04
  6.3093E-01  3.4500E-01  7.0504E-01  6.1105E-03  0.0000E+00  0.0000E+00  2.9624E-01  6.6992E-01  4.8198E-03
  6.0509E-01  3.3231E-01  6.8845E-01  7.4071E-03  0.0000E+00  0.0000E+00  2.8609E-01  6.5368E-01  4.4298E-03
  5.8226E-01  3.2274E-01  6.7533E-01  8.2257E-03  0.0000E+00  0.0000E+00  2.7836E-01  6.4093E-01  4.1567E-03
  5.4799E-01  3.0982E-01  6.5689E-01  9.1328E-03  0.0000E+00  0.0000E+00  2.6786E-01  6.2315E-01  3.8137E-03
  5.4799E-01  3.0982E-01  6.5689E-01  9.1328E-03  3.2717E-09  0.0000E+00  2.6786E-01  6.2315E-01  3.8137E-03
  5.1464E-01  2.9906E-01  6.4094E-01  9.7223E-03  1.2364E-03  0.0000E+00  2.5905E-01  6.0785E-01  3.5483E-03
  4.8303E-01  2.8896E-01  6.2551E-01  1.0151E-02  2.1857E-03  0.0000E+00  2.5075E-01  5.9312E-01  3.3141E-03
  4.5643E-01  2.8046E-01  6.1220E-01  1.0426E-02  2.8770E-03  0.0000E+00  2.4373E-01  5.8046E-01  3.1272E-03
  4.3171E-01  2.7250E-01  5.9948E-01  1.0619E-02  3.4423E-03  0.0000E+00  2.3715E-01  5.6840E-01  2.9601E-03
  4.0647E-01  2.6426E-01  5.8608E-01  1.0756E-02  3.9496E-03  0.0000E+00  2.3032E-01  5.5571E-01  2.7946E-03
  3.8543E-01  2.5729E-01  5.7452E-01  1.0827E-02  4.3225E-03  0.0000E+00  2.2452E-01  5.4480E-01  2.6598E-03
  3.6597E-01  2.5071E-01  5.6347E-01  1.0858E-02  4.6276E-03  0.0000E+00  2.1905E-01  5.3438E-01  2.5374E-03
  3.5115E-01  2.4562E-01  5.5480E-01  1.0859E-02  4.8361E-03  0.0000E+00  2.1479E-01  5.2620E-01  2.4452E-03
  3.0619E-01  2.2963E-01  5.2702E-01  1.0746E-02  5.3418E-03  0.0000E+00  2.0141E-01  5.0007E-01  2.1711E-03
  3.0619E-01  2.2963E-01  5.2702E-01  1.0746E-02  5.3418E-03  7.0743E-11  2.0141E-01  5.0007E-01  2.1711E-03
  2.9672E-01  2.2636E-01  5.2121E-01  1.0702E-02  5.4184E-03  2.1025E-04  1.9866E-01  4.9462E-01  2.1177E-03
  2.7066E-01  2.1698E-01  5.0440E-01  1.0540E-02  5.5933E-03  6.8178E-04  1.9078E-01  4.7883E-01  1.9692E-03
  2.4609E-01  2.0764E-01  4.8736E-01  1.0328E-02  5.7036E-03  1.0807E-03  1.8291E-01  4.6285E-01  1.8279E-03
  2.2587E-01  1.9952E-01  4.7231E-01  1.0107E-02  5.7521E-03  1.3729E-03  1.7605E-01  4.4873E-01  1.7103E-03
  2.0731E-01  1.9167E-01  4.5753E-01  9.8629E-03  5.7606E-03  1.6112E-03  1.6939E-01  4.3488E-01  1.6007E-03
  1.9318E-01  1.8540E-01  4.4557E-01  9.6492E-03  5.7423E-03  1.7723E-03  1.6407E-01  4.2368E-01  1.5162E-03
  1.7751E-01  1.7809E-01  4.3147E-01  9.3800E-03  5.6943E-03  1.9290E-03  1.5785E-01  4.1045E-01  1.4208E-03
  1.6484E-01  1.7188E-01  4.1934E-01  9.1359E-03  5.6330E-03  2.0381E-03  1.5256E-01  3.9908E-01  1.3424E-03
  1.5413E-01  1.6639E-01  4.0850E-01  8.9091E-03  5.5641E-03  2.1170E-03  1.4787E-01  3.8892E-01  1.2750E-03
  1.4171E-01  1.5969E-01  3.9514E-01  8.6197E-03  5.4622E-03  2.1921E-03  1.4214E-01  3.7639E-01  1.1953E-03
  1.3108E-01  1.5367E-01  3.8297E-01  8.3479E-03  5.3550E-03  2.2412E-03  1.3697E-01  3.6497E-01  1.1256E-03
  1.2198E-01  1.4825E-01  3.7191E-01  8.0951E-03  5.2468E-03  2.2712E-03  1.3231E-01  3.5458E-01  1.0647E-03
  1.1362E-01  1.4304E-01  3.6117E-01  7.8451E-03  5.1329E-03  2.2882E-03  1.2782E-01  3.4450E-01  1.0077E-03
  1.0610E-01  1.3813E-01  3.5096E-01  7.6041E-03  5.0174E-03  2.2941E-03  1.2358E-01  3.3490E-01  9.5534E-04
  9.9540E-02  1.3366E-01  3.4157E-01  7.3798E-03  4.9053E-03  2.2911E-03  1.1971E-01  3.2607E-01  9.0876E-04
  9.3793E-02  1.2959E-01  3.3295E-01  7.1722E-03  4.7982E-03  2.2821E-03  1.1619E-01  3.1797E-01  8.6723E-04
  8.8435E-02  1.2563E-01  3.2451E-01  6.9677E-03  4.6896E-03  2.2675E-03  1.1276E-01  3.1003E-01  8.2777E-04
  8.3521E-02  1.2187E-01  3.1643E-01  6.7707E-03  4.5824E-03  2.2489E-03  1.0949E-01  3.0242E-01  7.9097E-04
  7.9155E-02  1.1841E-01  3.0893E-01  6.5872E-03  4.4804E-03  2.2276E-03  1.0647E-01  2.9535E-01  7.5771E-04
  7.5282E-02  1.1523E-01  3.0200E-01  6.4173E-03  4.3843E-03  2.2047E-03  1.0370E-01  2.8883E-01  7.2773E-04
  7.1610E-02  1.1212E-01  2.9518E-01  6.2496E-03  4.2878E-03  2.1793E-03  1.0099E-01  2.8239E-01  6.9888E-04
  6.8202E-02  1.0914E-01  2.8859E-01  6.0876E-03  4.1933E-03  2.1523E-03  9.8382E-02  2.7618E-01  6.7168E-04
  6.5139E-02  1.0637E-01  2.8245E-01  5.9365E-03  4.1040E-03  2.1250E-03  9.5964E-02  2.7039E-01  6.4687E-04
  6.2389E-02  1.0382E-01  2.7675E-01  5.7962E-03  4.0201E-03  2.0980E-03  9.3727E-02  2.6500E-01  6.2429E-04
  5.9751E-02  1.0131E-01  2.7110E-01  5.6572E-03  3.9361E-03  2.0696E-03  9.1520E-02  2.5967E-01  6.0235E-04
  5.7274E-02  9.8879E-02  2.6562E-01  5.5225E-03  3.8540E-03  2.0407E-03  8.9389E-02  2.5449E-01  5.8147E-04
  5.5026E-02  9.6617E-02  2.6049E-01  5.3965E-03  3.7764E-03  2.0124E-03  8.7402E-02  2.4964E-01  5.6230E-04
  5.2990E-02  9.4518E-02  2.5570E-01  5.2791E-03  3.7036E-03  1.9850E-03  8.5554E-02  2.4511E-01  5.4471E-04
  5.1017E-02  9.2437E-02  2.5093E-01  5.1624E-03  3.6307E-03  1.9569E-03  8.3721E-02  2.4060E-01  5.2749E-04
  4.9155E-02  9.0423E-02  2.4630E-01  5.0492E-03  3.5594E-03  1.9286E-03  8.1946E-02  2.3622E-01  5.1105E-04
  4.7444E-02  8.8535E-02  2.4193E-01  4.9427E-03  3.4920E-03  1.9014E-03  8.0280E-02  2.3208E-01  4.9579E-04
  4.5888E-02  8.6777E-02  2.3785E-01  4.8434E-03  3.4288E-03  1.8752E-03  7.8727E-02  2.2822E-01  4.8176E-04
  4.4368E-02  8.5026E-02  2.3377E-01  4.7443E-03  3.3653E-03  1.8485E-03  7.7179E-02  2.2435E-01  4.6792E-04
  5.8974E-01  3.2829E-01  7.0458E-01  4.3650E-03  0.0000E+00  0.0000E+00  2.9275E-01  6.7395E-01  3.7496E-03
  5.5730E-01  3.1434E-01  6.8395E-01  5.5670E-03  0.0000E+00  0.0000E+00  2.8066E-01  6.5379E-01  3.4230E-03
  5.3072E-01  3.0393E-01  6.6800E-01  6.3150E-03  0.0000E+00  0.0000E+00  2.7161E-01  6.3829E-01  3.1960E-03
  4.9290E-01  2.9003E-01  6.4602E-01  7.1318E-03  0.0000E+00  0.0000E+00  2.5950E-01  6.1703E-01  2.9129E-03
  4.9290E-01  2.9003E-01  6.4602E-01  7.1318E-03  2.7862E-09  0.0000E+00  2.5950E-01  6.1703E-01  2.9129E-03
  4.5806E-01  2.7859E-01  6.2734E-01  7.6539E-03  1.0477E-03  0.0000E+00  2.4950E-01  5.9906E-01  2.6954E-03
  4.2584E-01  2.6795E-01  6.0954E-01  8.0274E-03  1.8409E-03  0.0000E+00  2.4020E-01  5.8200E-01  2.5047E-03
  3.9924E-01  2.5906E-01  5.9437E-01  8.2629E-03  2.4110E-03  0.0000E+00  2.3243E-01  5.6749E-01  2.3534E-03
  3.7490E-01  2.5080E-01  5.8002E-01  8.4240E-03  2.8712E-03  0.0000E+00  2.2520E-01  5.5380E-01  2.2187E-03
  3.5039E-01  2.4231E-01  5.6503E-01  8.5352E-03  3.2785E-03  0.0000E+00  2.1777E-01  5.3951E-01  2.0859E-03
  3.3020E-01  2.3516E-01  5.5221E-01  8.5891E-03  3.5736E-03  0.0000E+00  2.1150E-01  5.2732E-01  1.9783E-03
  3.1173E-01  2.2847E-01  5.4004E-01  8.6078E-03  3.8113E-03  0.0000E+00  2.0563E-01  5.1576E-01  1.8810E-03
  2.9778E-01  2.2330E-01  5.3055E-01  8.6028E-03  3.9713E-03  0.0000E+00  2.0109E-01  5.0675E-01  1.8080E-03
  2.5607E-01  2.0721E-01  5.0044E-01  8.4865E-03  4.3462E-03  0.0000E+00  1.8696E-01  4.7820E-01  1.5921E-03
  2.5607E-01  2.0721E-01  5.0044E-01  8.4865E-03  4.3462E-03  5.6074E-11  1.8696E-01  4.7820E-01  1.5921E-03
  2.4746E-01  2.0394E-01  4.9421E-01  8.4447E-03  4.4003E-03  1.6654E-04  1.8408E-01  4.7230E-01  1.5503E-03
  2.2390E-01  1.9462E-01  4.7626E-01  8.2955E-03  4.5177E-03  5.3708E-04  1.7588E-01  4.5530E-01  1.4344E-03
  2.0194E-01  1.8541E-01  4.5822E-01  8.1055E-03  4.5820E-03  8.4659E-04  1.6776E-01  4.3823E-01  1.3249E-03
  1.8406E-01  1.7745E-01  4.4241E-01  7.9106E-03  4.5992E-03  1.0702E-03  1.6074E-01  4.2327E-01  1.2342E-03
  1.6778E-01  1.6980E-01  4.2699E-01  7.6983E-03  4.5848E-03  1.2500E-03  1.5398E-01  4.0868E-01  1.1501E-03
  1.5550E-01  1.6372E-01  4.1460E-01  7.5138E-03  4.5534E-03  1.3697E-03  1.4860E-01  3.9696E-01  1.0855E-03
  1.4198E-01  1.5667E-01  4.0005E-01  7.2832E-03  4.4958E-03  1.4841E-03  1.4236E-01  3.8319E-01  1.0130E-03
  1.3114E-01  1.5071E-01  3.8761E-01  7.0755E-03  4.4308E-03  1.5619E-03  1.3708E-01  3.7142E-01  9.5359E-04
  1.2203E-01  1.4546E-01  3.7655E-01  6.8837E-03  4.3620E-03  1.6168E-03  1.3242E-01  3.6095E-01  9.0273E-04
  1.1153E-01  1.3910E-01  3.6299E-01  6.6404E-03  4.2646E-03  1.6670E-03  1.2677E-01  3.4812E-01  8.4284E-04
  1.0262E-01  1.3340E-01  3.5070E-01  6.4133E-03  4.1653E-03  1.6977E-03  1.2170E-01  3.3647E-01  7.9076E-04
  9.5041E-02  1.2829E-01  3.3958E-01  6.2032E-03  4.0672E-03  1.7144E-03  1.1715E-01  3.2594E-01  7.4540E-04
  8.8123E-02  1.2341E-01  3.2884E-01  5.9964E-03  3.9657E-03  1.7212E-03  1.1279E-01  3.1575E-01  7.0310E-04
  8.1930E-02  1.1882E-01  3.1866E-01  5.7979E-03  3.8641E-03  1.7199E-03  1.0869E-01  3.0610E-01  6.6439E-04
  7.6560E-02  1.1466E-01  3.0934E-01  5.6140E-03  3.7667E-03  1.7125E-03  1.0497E-01  2.9726E-01  6.3008E-04
  7.1877E-02  1.1088E-01  3.0082E-01  5.4444E-03  3.6745E-03  1.7010E-03  1.0159E-01  2.8917E-01  5.9958E-04
  6.7532E-02  1.0723E-01  2.9251E-01  5.2779E-03  3.5817E-03  1.6854E-03  9.8313E-02  2.8127E-01  5.7070E-04
  6.3565E-02  1.0376E-01  2.8457E-01  5.1180E-03  3.4908E-03  1.6671E-03  9.5203E-02  2.7373E-01  5.4384E-04
  6.0056E-02  1.0058E-01  2.7723E-01  4.9697E-03  3.4050E-03  1.6472E-03  9.2347E-02  2.6676E-01  5.1965E-04
  5.6955E-02  9.7674E-02  2.7047E-01  4.8327E-03  3.3245E-03  1.6265E-03  8.9730E-02  2.6033E-01  4.9790E-04
  5.4026E-02  9.4832E-02  2.6383E-01  4.6978E-03  3.2441E-03  1.6041E-03  8.7173E-02  2.5401E-01  4.7702E-04
  5.1317E-02  9.2116E-02  2.5744E-01  4.5679E-03  3.1658E-03  1.5807E-03  8.4727E-02  2.4793E-01  4.5739E-04
  4.8890E-02  8.9605E-02  2.5150E-01  4.4470E-03  3.0920E-03  1.5574E-03  8.2463E-02  2.4227E-01  4.3953E-04
  4.6719E-02  8.7292E-02  2.4599E-01  4.3350E-03  3.0231E-03  1.5345E-03  8.0376E-02  2.3703E-01  4.2331E-04
  4.4642E-02  8.5017E-02  2.4055E-01  4.2243E-03  2.9543E-03  1.5108E-03  7.8322E-02  2.3184E-01  4.0759E-04
  4.2697E-02  8.2828E-02  2.3528E-01  4.1173E-03  2.8873E-03  1.4869E-03  7.6343E-02  2.2683E-01  3.9267E-04
  4.0938E-02  8.0792E-02  2.3036E-01  4.0175E-03  2.8242E-03  1.4637E-03  7.4503E-02  2.2213E-01  3.7898E-04
  3.9348E-02  7.8907E-02  2.2578E-01  3.9246E-03  2.7652E-03  1.4413E-03  7.2796E-02  2.1776E-01  3.6647E-04
  3.7811E-02  7.7041E-02  2.2123E-01  3.8325E-03  2.7063E-03  1.4185E-03  7.1107E-02  2.1342E-01  3.5423E-04
  3.6365E-02  7.5241E-02  2.1681E-01  3.7432E-03  2.6489E-03  1.3957E-03  6.9475E-02  2.0921E-01  3.4257E-04
  3.5039E-02  7.3554E-02  2.1266E-01  3.6595E-03  2.5947E-03  1.3738E-03  6.7946E-02  2.0524E-01  3.3177E-04
  3.3836E-02  7.1988E-02  2.0879E-01  3.5815E-03  2.5440E-03  1.3528E-03  6.6525E-02  2.0154E-01  3.2186E-04
  3.2663E-02  7.0431E-02  2.0492E-01  3.5038E-03  2.4933E-03  1.3316E-03  6.5111E-02  1.9785E-01  3.1210E-04
  5.4881E-01  3.0925E-01  6.9688E-01  3.0664E-03  0.0000E+00  0.0000E+00  2.8435E-01  6.7043E-01  2.8534E-03
  5.1142E-01  2.9435E-01  6.7258E-01  4.1714E-03  0.0000E+00  0.0000E+00  2.7067E-01  6.4667E-01  2.5881E-03
  4.8223E-01  2.8334E-01  6.5409E-01  4.8498E-03  0.0000E+00  0.0000E+00  2.6057E-01  6.2868E-01  2.4049E-03
  4.4218E-01  2.6879E-01  6.2899E-01  5.5808E-03  0.0000E+00  0.0000E+00  2.4724E-01  6.0435E-01  2.1779E-03
  4.4218E-01  2.6879E-01  6.2899E-01  5.5808E-03  2.3672E-09  0.0000E+00  2.4724E-01  6.0435E-01  2.1779E-03
  4.0677E-01  2.5693E-01  6.0797E-01  6.0407E-03  8.8581E-04  0.0000E+00  2.3638E-01  5.8405E-01  2.0047E-03
  3.7466E-01  2.4599E-01  5.8816E-01  6.3647E-03  1.5472E-03  0.0000E+00  2.2637E-01  5.6498E-01  1.8537E-03
  3.4858E-01  2.3692E-01  5.7145E-01  6.5653E-03  2.0163E-03  0.0000E+00  2.1809E-01  5.4892E-01  1.7345E-03
  3.2503E-01  2.2855E-01  5.5577E-01  6.6997E-03  2.3902E-03  0.0000E+00  2.1044E-01  5.3388E-01  1.6289E-03
  3.0159E-01  2.1999E-01  5.3951E-01  6.7891E-03  2.7164E-03  0.0000E+00  2.0263E-01  5.1830E-01  1.5254E-03
  2.8249E-01  2.1282E-01  5.2571E-01  6.8295E-03  2.9492E-03  0.0000E+00  1.9609E-01  5.0509E-01  1.4418E-03
  2.6518E-01  2.0615E-01  5.1269E-01  6.8393E-03  3.1336E-03  0.0000E+00  1.9000E-01  4.9264E-01  1.3664E-03
  2.5221E-01  2.0101E-01  5.0258E-01  6.8301E-03  3.2557E-03  0.0000E+00  1.8532E-01  4.8297E-01  1.3100E-03
  2.1393E-01  1.8516E-01  4.7080E-01  6.7154E-03  3.5309E-03  0.0000E+00  1.7087E-01  4.5263E-01  1.1445E-03
  2.1393E-01  1.8516E-01  4.7080E-01  6.7154E-03  3.5309E-03  4.4398E-11  1.7087E-01  4.5263E-01  1.1445E-03
  2.0616E-01  1.8196E-01  4.6428E-01  6.6767E-03  3.5682E-03  1.3178E-04  1.6796E-01  4.4641E-01  1.1125E-03
  1.8505E-01  1.7288E-01  4.4558E-01  6.5416E-03  3.6440E-03  4.2265E-04  1.5968E-01  4.2857E-01  1.0245E-03
  1.6557E-01  1.6395E-01  4.2692E-01  6.3732E-03  3.6762E-03  6.6251E-04  1.5155E-01  4.1077E-01  9.4169E-04
  1.4986E-01  1.5630E-01  4.1068E-01  6.2029E-03  3.6729E-03  8.3341E-04  1.4457E-01  3.9529E-01  8.7345E-04
  1.3569E-01  1.4897E-01  3.9493E-01  6.0193E-03  3.6449E-03  9.6881E-04  1.3789E-01  3.8028E-01  8.1051E-04
  1.2507E-01  1.4319E-01  3.8234E-01  5.8610E-03  3.6068E-03  1.0576E-03  1.3261E-01  3.6827E-01  7.6236E-04
  1.1348E-01  1.3651E-01  3.6765E-01  5.6646E-03  3.5459E-03  1.1407E-03  1.2651E-01  3.5426E-01  7.0854E-04
  1.0425E-01  1.3089E-01  3.5515E-01  5.4890E-03  3.4819E-03  1.1959E-03  1.2138E-01  3.4234E-01  6.6465E-04
  9.6542E-02  1.2596E-01  3.4408E-01  5.3276E-03  3.4166E-03  1.2337E-03  1.1688E-01  3.3178E-01  6.2720E-04
  8.7724E-02  1.2001E-01  3.3057E-01  5.1242E-03  3.3268E-03  1.2666E-03  1.1144E-01  3.1889E-01  5.8327E-04
  8.0291E-02  1.1471E-01  3.1839E-01  4.9353E-03  3.2374E-03  1.2849E-03  1.0659E-01  3.0725E-01  5.4524E-04
  7.4003E-02  1.0998E-01  3.0741E-01  4.7613E-03  3.1505E-03  1.2930E-03  1.0226E-01  2.9677E-01  5.1224E-04
  6.8301E-02  1.0547E-01  2.9685E-01  4.5910E-03  3.0619E-03  1.2937E-03  9.8122E-02  2.8668E-01  4.8157E-04
  6.3226E-02  1.0125E-01  2.8689E-01  4.4281E-03  2.9741E-03  1.2885E-03  9.4257E-02  2.7716E-01  4.5361E-04
  5.8848E-02  9.7442E-02  2.7780E-01  4.2779E-03  2.8908E-03  1.2790E-03  9.0759E-02  2.6847E-01  4.2891E-04
  5.5049E-02  9.3993E-02  2.6952E-01  4.1398E-03  2.8125E-03  1.2669E-03  8.7592E-02  2.6054E-01  4.0703E-04
  5.1540E-02  9.0669E-02  2.6147E-01  4.0047E-03  2.7343E-03  1.2519E-03  8.4537E-02  2.5284E-01  3.8637E-04
  4.8350E-02  8.7526E-02  2.5380E-01  3.8754E-03  2.6581E-03  1.2349E-03  8.1646E-02  2.4550E-01  3.6721E-04
  4.5540E-02  8.4649E-02  2.4673E-01  3.7557E-03  2.5866E-03  1.2172E-03  7.8999E-02  2.3873E-01  3.5000E-04
  4.3066E-02  8.2024E-02  2.4024E-01  3.6456E-03  2.5199E-03  1.1992E-03  7.6583E-02  2.3251E-01  3.3457E-04
  4.0738E-02  7.9468E-02  2.3388E-01  3.5374E-03  2.4536E-03  1.1800E-03  7.4228E-02  2.2641E-01  3.1979E-04
  3.8592E-02  7.7031E-02  2.2778E-01  3.4335E-03  2.3892E-03  1.1602E-03  7.1981E-02  2.2056E-01  3.0594E-04
  3.6677E-02  7.4784E-02  2.2212E-01  3.3371E-03  2.3289E-03  1.1407E-03  6.9909E-02  2.1513E-01  2.9336E-04
  3.4968E-02  7.2718E-02  2.1688E-01  3.2479E-03  2.2727E-03  1.1218E-03  6.8003E-02  2.1011E-01  2.8197E-04
  3.3338E-02  7.0691E-02  2.1172E-01  3.1600E-03  2.2169E-03  1.1023E-03  6.6131E-02  2.0515E-01  2.7095E-04
  3.1816E-02  6.8745E-02  2.0674E-01  3.0752E-03  2.1626E-03  1.0828E-03  6.4334E-02  2.0037E-01  2.6051E-04
  3.0444E-02  6.6940E-02  2.0209E-01  2.9962E-03  2.1117E-03  1.0640E-03  6.2665E-02  1.9591E-01  2.5096E-04
  2.9207E-02  6.5271E-02  1.9777E-01  2.9229E-03  2.0643E-03  1.0459E-03  6.1122E-02  1.9176E-01  2.4224E-04
  2.8013E-02  6.3623E-02  1.9349E-01  2.8503E-03  2.0170E-03  1.0276E-03  5.9597E-02  1.8765E-01  2.3373E-04
  2.6893E-02  6.2036E-02  1.8935E-01  2.7801E-03  1.9710E-03  1.0094E-03  5.8128E-02  1.8366E-01  2.2564E-04
  2.5868E-02  6.0552E-02  1.8546E-01  2.7144E-03  1.9278E-03  9.9204E-04  5.6754E-02  1.7992E-01  2.1816E-04
  2.4941E-02  5.9176E-02  1.8183E-01  2.6532E-03  1.8874E-03  9.7550E-04  5.5479E-02  1.7644E-01  2.1131E-04
  2.4038E-02  5.7810E-02  1.7822E-01  2.5924E-03  1.8471E-03  9.5876E-04  5.4214E-02  1.7296E-01  2.0457E-04
  5.0845E-01  2.8828E-01  6.8241E-01  2.1183E-03  0.0000E+00  0.0000E+00  2.7161E-01  6.5991E-01  2.1241E-03
  4.6751E-01  2.7276E-01  6.5488E-01  3.1241E-03  0.0000E+00  0.0000E+00  2.5676E-01  6.3296E-01  1.9146E-03
  4.3663E-01  2.6140E-01  6.3421E-01  3.7339E-03  0.0000E+00  0.0000E+00  2.4592E-01  6.1279E-01  1.7709E-03
  3.9545E-01  2.4651E-01  6.0648E-01  4.3824E-03  0.0000E+00  0.0000E+00  2.3176E-01  5.8583E-01  1.5938E-03
  3.9545E-01  2.4651E-01  6.0648E-01  4.3824E-03  2.0050E-09  0.0000E+00  2.3176E-01  5.8583E-01  1.5938E-03
  3.6019E-01  2.3448E-01  5.8354E-01  4.7840E-03  7.4668E-04  0.0000E+00  2.2036E-01  5.6360E-01  1.4597E-03
  3.2876E-01  2.2348E-01  5.6213E-01  5.0626E-03  1.2965E-03  0.0000E+00  2.0995E-01  5.4289E-01  1.3433E-03
  3.0359E-01  2.1442E-01  5.4422E-01  5.2320E-03  1.6814E-03  0.0000E+00  2.0140E-01  5.2559E-01  1.2520E-03
  2.8112E-01  2.0610E-01  5.2753E-01  5.3428E-03  1.9842E-03  0.0000E+00  1.9356E-01  5.0950E-01  1.1714E-03
  2.5900E-01  1.9765E-01  5.1034E-01  5.4137E-03  2.2445E-03  0.0000E+00  1.8561E-01  4.9293E-01  1.0926E-03
  2.4115E-01  1.9061E-01  4.9583E-01  5.4428E-03  2.4273E-03  0.0000E+00  1.7899E-01  4.7897E-01  1.0293E-03
  2.2510E-01  1.8408E-01  4.8221E-01  5.4458E-03  2.5696E-03  0.0000E+00  1.7286E-01  4.6587E-01  9.7249E-04
  2.1316E-01  1.7908E-01  4.7169E-01  5.4337E-03  2.6621E-03  0.0000E+00  1.6817E-01  4.5576E-01  9.3012E-04
  1.7837E-01  1.6374E-01  4.3888E-01  5.3229E-03  2.8615E-03  0.0000E+00  1.5380E-01  4.2422E-01  8.0629E-04
  1.7837E-01  1.6374E-01  4.3888E-01  5.3229E-03  2.8615E-03  3.5077E-11  1.5380E-01  4.2422E-01  8.0629E-04
  1.7141E-01  1.6067E-01  4.3219E-01  5.2875E-03  2.8864E-03  1.0404E-04  1.5092E-01  4.1780E-01  7.8255E-04
  1.5264E-01  1.5197E-01  4.1310E-01  5.1661E-03  2.9322E-03  3.3186E-04  1.4279E-01  3.9947E-01  7.1730E-04
  1.3549E-01  1.4349E-01  3.9418E-01  5.0178E-03  2.9427E-03  5.1732E-04  1.3486E-01  3.8131E-01  6.5623E-04
  1.2178E-01  1.3625E-01  3.7781E-01  4.8698E-03  2.9266E-03  6.4764E-04  1.2809E-01  3.6560E-01  6.0615E-04
  1.0952E-01  1.2936E-01  3.6203E-01  4.7119E-03  2.8914E-03  7.4931E-04  1.2166E-01  3.5045E-01  5.6018E-04
  1.0041E-01  1.2394E-01  3.4948E-01  4.5768E-03  2.8509E-03  8.1484E-04  1.1660E-01  3.3840E-01  5.2514E-04
  9.0532E-02  1.1772E-01  3.3490E-01  4.4104E-03  2.7910E-03  8.7501E-04  1.1079E-01  3.2440E-01  4.8615E-04
  8.2719E-02  1.1251E-01  3.2255E-01  4.2625E-03  2.7307E-03  9.1382E-04  1.0592E-01  3.1254E-01  4.5447E-04
  7.6239E-02  1.0796E-01  3.1166E-01  4.1274E-03  2.6709E-03  9.3947E-04  1.0167E-01  3.0208E-01  4.2754E-04
  6.8871E-02  1.0249E-01  2.9843E-01  3.9578E-03  2.5903E-03  9.6046E-04  9.6560E-02  2.8936E-01  3.9607E-04
  6.2703E-02  9.7629E-02  2.8656E-01  3.8013E-03  2.5115E-03  9.7064E-04  9.2020E-02  2.7795E-01  3.6893E-04
  5.7518E-02  9.3315E-02  2.7590E-01  3.6579E-03  2.4361E-03  9.7329E-04  8.7987E-02  2.6770E-01  3.4548E-04
  5.2842E-02  8.9218E-02  2.6568E-01  3.5181E-03  2.3599E-03  9.7050E-04  8.4155E-02  2.5787E-01  3.2375E-04
  4.8703E-02  8.5403E-02  2.5609E-01  3.3850E-03  2.2852E-03  9.6347E-04  8.0587E-02  2.4863E-01  3.0402E-04
  4.5152E-02  8.1966E-02  2.4736E-01  3.2626E-03  2.2148E-03  9.5351E-04  7.7371E-02  2.4023E-01  2.8664E-04
  4.2085E-02  7.8865E-02  2.3943E-01  3.1505E-03  2.1492E-03  9.4184E-04  7.4469E-02  2.3259E-01  2.7129E-04
  3.9265E-02  7.5887E-02  2.3175E-01  3.0413E-03  2.0840E-03  9.2814E-04  7.1679E-02  2.2519E-01  2.5684E-04
  3.6712E-02  7.3078E-02  2.2445E-01  2.9370E-03  2.0209E-03  9.1320E-04  6.9048E-02  2.1816E-01  2.4348E-04
  3.4472E-02  7.0515E-02  2.1775E-01  2.8409E-03  1.9619E-03  8.9787E-04  6.6647E-02  2.1170E-01  2.3150E-04
  3.2507E-02  6.8183E-02  2.1160E-01  2.7525E-03  1.9072E-03  8.8255E-04  6.4460E-02  2.0577E-01  2.2080E-04
  3.0665E-02  6.5918E-02  2.0560E-01  2.6660E-03  1.8530E-03  8.6645E-04  6.2336E-02  1.9998E-01  2.1057E-04
  2.8973E-02  6.3764E-02  1.9985E-01  2.5831E-03  1.8006E-03  8.5005E-04  6.0315E-02  1.9444E-01  2.0100E-04
  2.7468E-02  6.1782E-02  1.9454E-01  2.5064E-03  1.7517E-03  8.3406E-04  5.8456E-02  1.8930E-01  1.9234E-04
  2.6129E-02  5.9965E-02  1.8963E-01  2.4356E-03  1.7063E-03  8.1865E-04  5.6750E-02  1.8457E-01  1.8451E-04
  2.4855E-02  5.8186E-02  1.8481E-01  2.3660E-03  1.6613E-03  8.0289E-04  5.5080E-02  1.7991E-01  1.7695E-04
  2.3670E-02  5.6481E-02  1.8016E-01  2.2989E-03  1.6177E-03  7.8720E-04  5.3479E-02  1.7541E-01  1.6980E-04
  2.2603E-02  5.4904E-02  1.7583E-01  2.2366E-03  1.5770E-03  7.7214E-04  5.1996E-02  1.7123E-01  1.6328E-04
  2.1644E-02  5.3448E-02  1.7182E-01  2.1789E-03  1.5390E-03  7.5780E-04  5.0628E-02  1.6735E-01  1.5733E-04
  2.0721E-02  5.2013E-02  1.6784E-01  2.1218E-03  1.5014E-03  7.4329E-04  4.9279E-02  1.6351E-01  1.5154E-04
  1.9858E-02  5.0634E-02  1.6401E-01  2.0668E-03  1.4649E-03  7.2895E-04  4.7982E-02  1.5980E-01  1.4605E-04
  1.9068E-02  4.9346E-02  1.6041E-01  2.0152E-03  1.4306E-03  7.1527E-04  4.6771E-02  1.5632E-01  1.4097E-04
  1.8356E-02  4.8155E-02  1.5707E-01  1.9674E-03  1.3987E-03  7.0231E-04  4.5650E-02  1.5309E-01  1.3634E-04
  1.7664E-02  4.6975E-02  1.5374E-01  1.9200E-03  1.3668E-03  6.8925E-04  4.4539E-02  1.4987E-01  1.3179E-04
  4.6893E-01  2.6580E-01  6.6172E-01  1.4385E-03  0.0000E+00  0.0000E+00  2.5520E-01  6.4295E-01  1.5469E-03
  4.2564E-01  2.4999E-01  6.3148E-01  2.3444E-03  0.0000E+00  0.0000E+00  2.3962E-01  6.1328E-01  1.3860E-03
  3.9385E-01  2.3851E-01  6.0903E-01  2.8868E-03  0.0000E+00  0.0000E+00  2.2837E-01  5.9131E-01  1.2762E-03
  3.5241E-01  2.2360E-01  5.7921E-01  3.4561E-03  0.0000E+00  0.0000E+00  2.1381E-01  5.6222E-01  1.1417E-03
  3.5241E-01  2.2360E-01  5.7921E-01  3.4561E-03  1.6917E-09  0.0000E+00  2.1381E-01  5.6222E-01  1.1417E-03
  3.1789E-01  2.1166E-01  5.5480E-01  3.8033E-03  6.2706E-04  0.0000E+00  2.0219E-01  5.3846E-01  1.0405E-03
  2.8757E-01  2.0080E-01  5.3221E-01  4.0401E-03  1.0825E-03  0.0000E+00  1.9168E-01  5.1651E-01  9.5311E-04
  2.6359E-01  1.9193E-01  5.1345E-01  4.1813E-03  1.3971E-03  0.0000E+00  1.8310E-01  4.9831E-01  8.8484E-04
  2.4240E-01  1.8382E-01  4.9607E-01  4.2712E-03  1.6412E-03  0.0000E+00  1.7529E-01  4.8146E-01  8.2486E-04
  2.2176E-01  1.7563E-01  4.7828E-01  4.3260E-03  1.8480E-03  0.0000E+00  1.6741E-01  4.6423E-01  7.6651E-04
  2.0525E-01  1.6884E-01  4.6334E-01  4.3455E-03  1.9908E-03  0.0000E+00  1.6089E-01  4.4978E-01  7.1979E-04
  1.9053E-01  1.6257E-01  4.4939E-01  4.3430E-03  2.0997E-03  0.0000E+00  1.5487E-01  4.3629E-01  6.7798E-04
  1.7964E-01  1.5778E-01  4.3866E-01  4.3288E-03  2.1692E-03  0.0000E+00  1.5029E-01  4.2591E-01  6.4690E-04
  1.4830E-01  1.4321E-01  4.0541E-01  4.2231E-03  2.3111E-03  0.0000E+00  1.3636E-01  3.9377E-01  5.5657E-04
  1.4830E-01  1.4321E-01  4.0541E-01  4.2231E-03  2.3111E-03  2.7622E-11  1.3636E-01  3.9377E-01  5.5657E-04
  1.4212E-01  1.4031E-01  3.9868E-01  4.1910E-03  2.3269E-03  8.1879E-05  1.3359E-01  3.8727E-01  5.3934E-04
  1.2555E-01  1.3213E-01  3.7954E-01  4.0826E-03  2.3517E-03  2.5975E-04  1.2579E-01  3.6879E-01  4.9214E-04
  1.1056E-01  1.2420E-01  3.6069E-01  3.9526E-03  2.3478E-03  4.0268E-04  1.1823E-01  3.5058E-01  4.4818E-04
  9.8687E-02  1.1747E-01  3.4448E-01  3.8246E-03  2.3244E-03  5.0166E-04  1.1183E-01  3.3493E-01  4.1230E-04
  8.8155E-02  1.1110E-01  3.2893E-01  3.6893E-03  2.2863E-03  5.7767E-04  1.0577E-01  3.1991E-01  3.7951E-04
  8.0384E-02  1.0611E-01  3.1662E-01  3.5745E-03  2.2463E-03  6.2581E-04  1.0103E-01  3.0801E-01  3.5462E-04
  7.2014E-02  1.0040E-01  3.0238E-01  3.4341E-03  2.1899E-03  6.6901E-04  9.5611E-02  2.9426E-01  3.2703E-04
  6.5444E-02  9.5649E-02  2.9037E-01  3.3100E-03  2.1349E-03  6.9601E-04  9.1095E-02  2.8266E-01  3.0470E-04
  6.0028E-02  9.1513E-02  2.7983E-01  3.1973E-03  2.0815E-03  7.1311E-04  8.7168E-02  2.7246E-01  2.8578E-04
  5.3909E-02  8.6562E-02  2.6707E-01  3.0566E-03  2.0108E-03  7.2596E-04  8.2467E-02  2.6013E-01  2.6375E-04
  4.8820E-02  8.2183E-02  2.5566E-01  2.9275E-03  1.9426E-03  7.3085E-04  7.8310E-02  2.4910E-01  2.4483E-04
  4.4569E-02  7.8310E-02  2.4547E-01  2.8097E-03  1.8781E-03  7.3028E-04  7.4634E-02  2.3923E-01  2.2854E-04
  4.0757E-02  7.4646E-02  2.3573E-01  2.6953E-03  1.8135E-03  7.2571E-04  7.1155E-02  2.2981E-01  2.1350E-04
  3.7401E-02  7.1247E-02  2.2662E-01  2.5869E-03  1.7508E-03  7.1812E-04  6.7928E-02  2.2099E-01  1.9988E-04
  3.4537E-02  6.8194E-02  2.1836E-01  2.4876E-03  1.6921E-03  7.0856E-04  6.5030E-02  2.1299E-01  1.8793E-04
  3.2074E-02  6.5450E-02  2.1087E-01  2.3970E-03  1.6376E-03  6.9796E-04  6.2424E-02  2.0573E-01  1.7739E-04
  2.9820E-02  6.2821E-02  2.0364E-01  2.3089E-03  1.5839E-03  6.8594E-04  5.9928E-02  1.9873E-01  1.6751E-04
  2.7788E-02  6.0349E-02  1.9680E-01  2.2251E-03  1.5321E-03  6.7313E-04  5.7580E-02  1.9210E-01  1.5840E-04
  2.6012E-02  5.8101E-02  1.9052E-01  2.1481E-03  1.4840E-03  6.6021E-04  5.5444E-02  1.8601E-01  1.5026E-04
  2.4461E-02  5.6060E-02  1.8479E-01  2.0775E-03  1.4395E-03  6.4747E-04  5.3505E-02  1.8045E-01  1.4299E-04
  2.3011E-02  5.4082E-02  1.7920E-01  2.0085E-03  1.3956E-03  6.3423E-04  5.1626E-02  1.7503E-01  1.3607E-04
  2.1684E-02  5.2206E-02  1.7387E-01  1.9426E-03  1.3533E-03  6.2087E-04  4.9843E-02  1.6985E-01  1.2960E-04
  2.0507E-02  5.0485E-02  1.6894E-01  1.8818E-03  1.3140E-03  6.0794E-04  4.8207E-02  1.6507E-01  1.2377E-04
  1.9463E-02  4.8910E-02  1.6440E-01  1.8258E-03  1.2776E-03  5.9556E-04  4.6710E-02  1.6066E-01  1.1850E-04
  1.8473E-02  4.7371E-02  1.5995E-01  1.7708E-03  1.2416E-03  5.8298E-04  4.5247E-02  1.5634E-01  1.1343E-04
  1.7554E-02  4.5900E-02  1.5567E-01  1.7179E-03  1.2069E-03  5.7052E-04  4.3848E-02  1.5218E-01  1.0864E-04
  1.6730E-02  4.4541E-02  1.5169E-01  1.6689E-03  1.1745E-03  5.5861E-04  4.2555E-02  1.4832E-01  1.0428E-04
  1.5990E-02  4.3290E-02  1.4801E-01  1.6236E-03  1.1445E-03  5.4733E-04  4.1365E-02  1.4474E-01  1.0031E-04
  1.5280E-02  4.2059E-02  1.4437E-01  1.5788E-03  1.1147E-03  5.3596E-04  4.0193E-02  1.4120E-01  9.6456E-05
  1.4617E-02  4.0878E-02  1.4087E-01  1.5358E-03  1.0859E-03  5.2476E-04  3.9069E-02  1.3779E-01  9.2804E-05
  1.4013E-02  3.9777E-02  1.3758E-01  1.4956E-03  1.0589E-03  5.1412E-04  3.8022E-02  1.3460E-01  8.9437E-05
  1.3468E-02  3.8761E-02  1.3454E-01  1.4583E-03  1.0338E-03  5.0407E-04  3.7055E-02  1.3164E-01  8.6365E-05
  1.2940E-02  3.7756E-02  1.3151E-01  1.4213E-03  1.0089E-03  4.9397E-04  3.6098E-02  1.2870E-01  8.3354E-05
  4.3046E-01  2.4224E-01  6.3550E-01  9.5927E-04  0.0000E+00  0.0000E+00  2.3591E-01  6.2020E-01  1.1018E-03
  3.8584E-01  2.2647E-01  6.0313E-01  1.7664E-03  0.0000E+00  0.0000E+00  2.2006E-01  5.8833E-01  9.8136E-04
  3.5379E-01  2.1511E-01  5.7931E-01  2.2437E-03  0.0000E+00  0.0000E+00  2.0871E-01  5.6496E-01  8.9963E-04
  3.1283E-01  2.0047E-01  5.4798E-01  2.7380E-03  0.0000E+00  0.0000E+00  1.9414E-01  5.3427E-01  8.0009E-04
  3.1283E-01  2.0047E-01  5.4798E-01  2.7380E-03  1.4211E-09  0.0000E+00  1.9414E-01  5.3427E-01  8.0009E-04
  2.7950E-01  1.8884E-01  5.2255E-01  3.0344E-03  5.2427E-04  0.0000E+00  1.8263E-01  5.0942E-01  7.2560E-04
  2.5061E-01  1.7834E-01  4.9921E-01  3.2331E-03  8.9980E-04  0.0000E+00  1.7229E-01  4.8664E-01  6.6167E-04
  2.2803E-01  1.6980E-01  4.7994E-01  3.3490E-03  1.1557E-03  0.0000E+00  1.6390E-01  4.6785E-01  6.1193E-04
  2.0827E-01  1.6205E-01  4.6219E-01  3.4205E-03  1.3516E-03  0.0000E+00  1.5631E-01  4.5057E-01  5.6841E-04
  1.8920E-01  1.5425E-01  4.4412E-01  3.4613E-03  1.5149E-03  0.0000E+00  1.4869E-01  4.3298E-01  5.2624E-04
  1.7407E-01  1.4782E-01  4.2902E-01  3.4728E-03  1.6256E-03  0.0000E+00  1.4242E-01  4.1830E-01  4.9260E-04
  1.6069E-01  1.4190E-01  4.1499E-01  3.4660E-03  1.7084E-03  0.0000E+00  1.3666E-01  4.0466E-01  4.6260E-04
  1.5086E-01  1.3741E-01  4.0422E-01  3.4503E-03  1.7599E-03  0.0000E+00  1.3229E-01  3.9419E-01  4.4036E-04
  1.2285E-01  1.2380E-01  3.7111E-01  3.3505E-03  1.8585E-03  0.0000E+00  1.1909E-01  3.6202E-01  3.7606E-04
  1.2285E-01  1.2380E-01  3.7111E-01  3.3505E-03  1.8585E-03  2.1658E-11  1.1909E-01  3.6202E-01  3.7606E-04
  1.1741E-01  1.2111E-01  3.6445E-01  3.3214E-03  1.8679E-03  6.4157E-05  1.1648E-01  3.5555E-01  3.6387E-04
  1.0289E-01  1.1355E-01  3.4558E-01  3.2251E-03  1.8779E-03  2.0241E-04  1.0917E-01  3.3723E-01  3.3054E-04
  8.9882E-02  1.0625E-01  3.2710E-01  3.1117E-03  1.8652E-03  3.1204E-04  1.0213E-01  3.1928E-01  2.9966E-04
  7.9669E-02  1.0010E-01  3.1128E-01  3.0014E-03  1.8382E-03  3.8684E-04  9.6195E-02  3.0393E-01  2.7457E-04
  7.0683E-02  9.4302E-02  2.9620E-01  2.8861E-03  1.8002E-03  4.4334E-04  9.0611E-02  2.8927E-01  2.5174E-04
  6.4100E-02  8.9783E-02  2.8430E-01  2.7889E-03  1.7624E-03  4.7845E-04  8.6262E-02  2.7772E-01  2.3447E-04
  5.7059E-02  8.4640E-02  2.7060E-01  2.6709E-03  1.7110E-03  5.0919E-04  8.1315E-02  2.6441E-01  2.1540E-04
  5.1570E-02  8.0370E-02  2.5909E-01  2.5673E-03  1.6621E-03  5.2770E-04  7.7210E-02  2.5323E-01  2.0003E-04
  4.7072E-02  7.6670E-02  2.4903E-01  2.4736E-03  1.6153E-03  5.3880E-04  7.3655E-02  2.4345E-01  1.8705E-04
  4.2023E-02  7.2259E-02  2.3690E-01  2.3574E-03  1.5544E-03  5.4620E-04  6.9418E-02  2.3166E-01  1.7200E-04
  3.7852E-02  6.8375E-02  2.2609E-01  2.2513E-03  1.4963E-03  5.4775E-04  6.5688E-02  2.2116E-01  1.5911E-04
  3.4389E-02  6.4952E-02  2.1648E-01  2.1549E-03  1.4418E-03  5.4540E-04  6.2403E-02  2.1180E-01  1.4806E-04
  3.1301E-02  6.1726E-02  2.0732E-01  2.0617E-03  1.3878E-03  5.4014E-04  5.9306E-02  2.0290E-01  1.3788E-04
  2.8597E-02  5.8743E-02  1.9878E-01  1.9738E-03  1.3357E-03  5.3274E-04  5.6444E-02  1.9459E-01  1.2870E-04
  2.6302E-02  5.6074E-02  1.9107E-01  1.8935E-03  1.2873E-03  5.2407E-04  5.3883E-02  1.8708E-01  1.2067E-04
  2.4336E-02  5.3682E-02  1.8410E-01  1.8205E-03  1.2427E-03  5.1479E-04  5.1588E-02  1.8029E-01  1.1361E-04
  2.2546E-02  5.1398E-02  1.7739E-01  1.7499E-03  1.1988E-03  5.0455E-04  4.9396E-02  1.7375E-01  1.0701E-04
  2.0939E-02  4.9256E-02  1.7105E-01  1.6828E-03  1.1568E-03  4.9382E-04  4.7341E-02  1.6758E-01  1.0094E-04
  1.9540E-02  4.7312E-02  1.6525E-01  1.6213E-03  1.1179E-03  4.8316E-04  4.5476E-02  1.6193E-01  9.5522E-05
  1.8322E-02  4.5553E-02  1.5997E-01  1.5651E-03  1.0820E-03  4.7275E-04  4.3789E-02  1.5679E-01  9.0704E-05
  1.7188E-02  4.3853E-02  1.5483E-01  1.5104E-03  1.0468E-03  4.6203E-04  4.2157E-02  1.5178E-01  8.6123E-05
  1.6153E-02  4.2244E-02  1.4994E-01  1.4582E-03  1.0130E-03  4.5131E-04  4.0614E-02  1.4701E-01  8.1857E-05
  1.5239E-02  4.0771E-02  1.4543E-01  1.4102E-03  9.8165E-04  4.4100E-04  3.9200E-02  1.4261E-01  7.8012E-05
  1.4430E-02  3.9427E-02  1.4129E-01  1.3660E-03  9.5270E-04  4.3119E-04  3.7910E-02  1.3857E-01  7.4551E-05
  1.3666E-02  3.8116E-02  1.3723E-01  1.3227E-03  9.2420E-04  4.2127E-04  3.6652E-02  1.3461E-01  7.1223E-05
  1.2958E-02  3.6865E-02  1.3334E-01  1.2813E-03  8.9675E-04  4.1149E-04  3.5452E-02  1.3081E-01  6.8090E-05
  1.2324E-02  3.5712E-02  1.2973E-01  1.2429E-03  8.7123E-04  4.0219E-04  3.4345E-02  1.2729E-01  6.5241E-05
  1.1758E-02  3.4652E-02  1.2640E-01  1.2074E-03  8.4759E-04  3.9341E-04  3.3328E-02  1.2403E-01  6.2655E-05
  1.1215E-02  3.3612E-02  1.2311E-01  1.1725E-03  8.2421E-04  3.8459E-04  3.2329E-02  1.2082E-01  6.0144E-05
  1.0709E-02  3.2615E-02  1.1994E-01  1.1389E-03  8.0168E-04  3.7594E-04  3.1373E-02  1.1773E-01  5.7771E-05
  1.0249E-02  3.1689E-02  1.1698E-01  1.1076E-03  7.8059E-04  3.6774E-04  3.0483E-02  1.1484E-01  5.5586E-05
  9.8355E-03  3.0834E-02  1.1424E-01  1.0787E-03  7.6104E-04  3.6003E-04  2.9663E-02  1.1216E-01  5.3596E-05
  9.4352E-03  2.9990E-02  1.1153E-01  1.0500E-03  7.4163E-04  3.5230E-04  2.8853E-02  1.0950E-01  5.1650E-05
  3.9321E-01  2.1806E-01  6.0453E-01  6.2760E-04  0.0000E+00  0.0000E+00  2.1458E-01  5.9236E-01  7.6692E-04
  3.4815E-01  2.0263E-01  5.7061E-01  1.3389E-03  0.0000E+00  0.0000E+00  1.9888E-01  5.5887E-01  6.7907E-04
  3.1638E-01  1.9161E-01  5.4587E-01  1.7541E-03  0.0000E+00  0.0000E+00  1.8772E-01  5.3450E-01  6.1981E-04
  2.7649E-01  1.7751E-01  5.1358E-01  2.1784E-03  0.0000E+00  0.0000E+00  1.7352E-01  5.0276E-01  5.4803E-04
  2.7649E-01  1.7751E-01  5.1358E-01  2.1784E-03  1.1876E-09  0.0000E+00  1.7352E-01  5.0276E-01  5.4803E-04
  2.4468E-01  1.6639E-01  4.8759E-01  2.4284E-03  4.3607E-04  0.0000E+00  1.6238E-01  4.7726E-01  4.9463E-04
  2.1747E-01  1.5642E-01  4.6390E-01  2.5927E-03  7.4408E-04  0.0000E+00  1.5245E-01  4.5404E-01  4.4902E-04
  1.9643E-01  1.4837E-01  4.4446E-01  2.6861E-03  9.5109E-04  0.0000E+00  1.4444E-01  4.3500E-01  4.1370E-04
  1.7819E-01  1.4108E-01  4.2664E-01  2.7415E-03  1.1074E-03  0.0000E+00  1.3723E-01  4.1758E-01  3.8292E-04
  1.6074E-01  1.3379E-01  4.0859E-01  2.7704E-03  1.2354E-03  0.0000E+00  1.3003E-01  3.9993E-01  3.5321E-04
  1.4701E-01  1.2781E-01  3.9359E-01  2.7754E-03  1.3206E-03  0.0000E+00  1.2413E-01  3.8527E-01  3.2959E-04
  1.3495E-01  1.2233E-01  3.7969E-01  2.7652E-03  1.3827E-03  0.0000E+00  1.1874E-01  3.7170E-01  3.0860E-04
  1.2614E-01  1.1817E-01  3.6907E-01  2.7487E-03  1.4204E-03  0.0000E+00  1.1466E-01  3.6132E-01  2.9309E-04
  1.0133E-01  1.0569E-01  3.3660E-01  2.6553E-03  1.4868E-03  0.0000E+00  1.0243E-01  3.2963E-01  2.4846E-04
  1.0133E-01  1.0569E-01  3.3660E-01  2.6553E-03  1.4868E-03  1.6891E-11  1.0243E-01  3.2963E-01  2.4846E-04
  9.6568E-02  1.0323E-01  3.3011E-01  2.6292E-03  1.4916E-03  5.0003E-05  1.0003E-01  3.2329E-01  2.4003E-04
  8.3945E-02  9.6357E-02  3.1177E-01  2.5441E-03  1.4919E-03  1.5688E-04  9.3317E-02  3.0540E-01  2.1709E-04
  7.2739E-02  8.9764E-02  2.9392E-01  2.4456E-03  1.4741E-03  2.4049E-04  8.6891E-02  2.8798E-01  1.9592E-04
  6.4018E-02  8.4231E-02  2.7872E-01  2.3511E-03  1.4462E-03  2.9667E-04  8.1507E-02  2.7315E-01  1.7881E-04
  5.6406E-02  7.9044E-02  2.6429E-01  2.2532E-03  1.4100E-03  3.3838E-04  7.6465E-02  2.5906E-01  1.6330E-04
  5.0869E-02  7.5019E-02  2.5295E-01  2.1714E-03  1.3755E-03  3.6377E-04  7.2556E-02  2.4800E-01  1.5161E-04
  4.4988E-02  7.0456E-02  2.3995E-01  2.0726E-03  1.3299E-03  3.8538E-04  6.8129E-02  2.3531E-01  1.3876E-04
  4.0435E-02  6.6684E-02  2.2908E-01  1.9866E-03  1.2873E-03  3.9783E-04  6.4472E-02  2.2470E-01  1.2843E-04
  3.6726E-02  6.3428E-02  2.1960E-01  1.9092E-03  1.2471E-03  4.0480E-04  6.1317E-02  2.1545E-01  1.1974E-04
  3.2589E-02  5.9561E-02  2.0822E-01  1.8136E-03  1.1953E-03  4.0860E-04  5.7571E-02  2.0433E-01  1.0970E-04
  2.9195E-02  5.6171E-02  1.9813E-01  1.7268E-03  1.1465E-03  4.0817E-04  5.4289E-02  1.9447E-01  1.0114E-04
  2.6393E-02  5.3195E-02  1.8918E-01  1.6483E-03  1.1012E-03  4.0498E-04  5.1409E-02  1.8572E-01  9.3815E-05
  2.3910E-02  5.0399E-02  1.8068E-01  1.5728E-03  1.0566E-03  3.9969E-04  4.8705E-02  1.7742E-01  8.7101E-05
  2.1747E-02  4.7824E-02  1.7278E-01  1.5018E-03  1.0138E-03  3.9292E-04  4.6215E-02  1.6970E-01  8.1059E-05
  1.9920E-02  4.5527E-02  1.6567E-01  1.4373E-03  9.7433E-04  3.8535E-04  4.3994E-02  1.6275E-01  7.5791E-05
  1.8362E-02  4.3474E-02  1.5926E-01  1.3788E-03  9.3807E-04  3.7747E-04  4.2010E-02  1.5648E-01  7.1174E-05
  1.6951E-02  4.1520E-02  1.5311E-01  1.3223E-03  9.0267E-04  3.6894E-04  4.0121E-02  1.5046E-01  6.6868E-05
  1.5688E-02  3.9694E-02  1.4732E-01  1.2689E-03  8.6887E-04  3.6014E-04  3.8356E-02  1.4479E-01  6.2915E-05
  1.4594E-02  3.8040E-02  1.4203E-01  1.2201E-03  8.3769E-04  3.5149E-04  3.6758E-02  1.3962E-01  5.9402E-05
  1.3645E-02  3.6548E-02  1.3723E-01  1.1756E-03  8.0907E-04  3.4313E-04  3.5316E-02  1.3492E-01  5.6283E-05
  1.2764E-02  3.5108E-02  1.3257E-01  1.1324E-03  7.8107E-04  3.3459E-04  3.3925E-02  1.3036E-01  5.3323E-05
  1.1964E-02  3.3750E-02  1.2813E-01  1.0913E-03  7.5429E-04  3.2610E-04  3.2613E-02  1.2602E-01  5.0575E-05
  1.1258E-02  3.2509E-02  1.2406E-01  1.0535E-03  7.2953E-04  3.1799E-04  3.1415E-02  1.2203E-01  4.8102E-05
  1.0636E-02  3.1379E-02  1.2033E-01  1.0188E-03  7.0673E-04  3.1031E-04  3.0323E-02  1.1837E-01  4.5881E-05
  1.0050E-02  3.0279E-02  1.1668E-01  9.8497E-04  6.8434E-04  3.0258E-04  2.9260E-02  1.1479E-01  4.3750E-05
  9.5086E-03  2.9232E-02  1.1318E-01  9.5257E-04  6.6283E-04  2.9500E-04  2.8249E-02  1.1136E-01  4.1747E-05
  9.0255E-03  2.8269E-02  1.0994E-01  9.2263E-04  6.4288E-04  2.8782E-04  2.7319E-02  1.0819E-01  3.9930E-05
  8.5942E-03  2.7386E-02  1.0696E-01  8.9505E-04  6.2444E-04  2.8107E-04  2.6465E-02  1.0527E-01  3.8283E-05
  8.1821E-03  2.6520E-02  1.0402E-01  8.6792E-04  6.0626E-04  2.7430E-04  2.5629E-02  1.0239E-01  3.6686E-05
  7.7992E-03  2.5692E-02  1.0120E-01  8.4190E-04  5.8876E-04  2.6769E-04  2.4829E-02  9.9619E-02  3.5181E-05
  7.4515E-03  2.4924E-02  9.8563E-02  8.1767E-04  5.7242E-04  2.6145E-04  2.4087E-02  9.7037E-02  3.3797E-05
  7.1397E-03  2.4216E-02  9.6128E-02  7.9531E-04  5.5731E-04  2.5559E-04  2.3404E-02  9.4648E-02  3.2538E-05
  6.8383E-03  2.3519E-02  9.3716E-02  7.7319E-04  5.4233E-04  2.4972E-04  2.2730E-02  9.2282E-02  3.1309E-05
  3.5732E-01  1.9368E-01  5.6960E-01  4.0308E-04  0.0000E+00  0.0000E+00  1.9200E-01  5.6020E-01  5.2142E-04
  3.1255E-01  1.7889E-01  5.3472E-01  1.0229E-03  0.0000E+00  0.0000E+00  1.7681E-01  5.2565E-01  4.5904E-04
  2.8152E-01  1.6841E-01  5.0948E-01  1.3801E-03  0.0000E+00  0.0000E+00  1.6611E-01  5.0071E-01  4.1720E-04
  2.4317E-01  1.5508E-01  4.7678E-01  1.7399E-03  0.0000E+00  0.0000E+00  1.5259E-01  4.6844E-01  3.6679E-04
  2.4317E-01  1.5508E-01  4.7678E-01  1.7399E-03  9.8659E-10  0.0000E+00  1.5259E-01  4.6844E-01  3.6679E-04
  2.1316E-01  1.4465E-01  4.5067E-01  1.9479E-03  3.6056E-04  0.0000E+00  1.4206E-01  4.4272E-01  3.2949E-04
  1.8779E-01  1.3536E-01  4.2701E-01  2.0816E-03  6.1165E-04  0.0000E+00  1.3273E-01  4.1944E-01  2.9780E-04
  1.6838E-01  1.2789E-01  4.0771E-01  2.1554E-03  7.7804E-04  0.0000E+00  1.2526E-01  4.0047E-01  2.7336E-04
  1.5170E-01  1.2117E-01  3.9011E-01  2.1970E-03  9.0182E-04  0.0000E+00  1.1856E-01  3.8318E-01  2.5215E-04
  1.3588E-01  1.1449E-01  3.7236E-01  2.2161E-03  1.0015E-03  0.0000E+00  1.1191E-01  3.6575E-01  2.3175E-04
  1.2353E-01  1.0902E-01  3.5767E-01  2.2159E-03  1.0663E-03  0.0000E+00  1.0648E-01  3.5134E-01  2.1559E-04
  1.1276E-01  1.0403E-01  3.4412E-01  2.2033E-03  1.1125E-03  0.0000E+00  1.0154E-01  3.3804E-01  2.0127E-04
  1.0494E-01  1.0026E-01  3.3379E-01  2.1865E-03  1.1396E-03  0.0000E+00  9.7816E-02  3.2792E-01  1.9072E-04
  8.3143E-02  8.9003E-02  3.0241E-01  2.1000E-03  1.1823E-03  0.0000E+00  8.6714E-02  2.9716E-01  1.6052E-04
  8.3143E-02  8.9003E-02  3.0241E-01  2.1000E-03  1.1823E-03  1.3092E-11  8.6714E-02  2.9716E-01  1.6052E-04
  7.9014E-02  8.6799E-02  2.9617E-01  2.0767E-03  1.1839E-03  3.8732E-05  8.4545E-02  2.9104E-01  1.5485E-04
  6.8126E-02  8.0661E-02  2.7861E-01  2.0020E-03  1.1780E-03  1.2084E-04  7.8514E-02  2.7383E-01  1.3944E-04
  5.8549E-02  7.4804E-02  2.6161E-01  1.9170E-03  1.1579E-03  1.8418E-04  7.2770E-02  2.5716E-01  1.2529E-04
  5.1161E-02  6.9915E-02  2.4720E-01  1.8365E-03  1.1309E-03  2.2609E-04  6.7982E-02  2.4305E-01  1.1391E-04
  4.4763E-02  6.5353E-02  2.3358E-01  1.7539E-03  1.0978E-03  2.5663E-04  6.3521E-02  2.2970E-01  1.0363E-04
  4.0142E-02  6.1828E-02  2.2292E-01  1.6854E-03  1.0671E-03  2.7481E-04  6.0077E-02  2.1926E-01  9.5915E-05
  3.5268E-02  5.7849E-02  2.1075E-01  1.6033E-03  1.0275E-03  2.8981E-04  5.6194E-02  2.0733E-01  8.7457E-05
  3.1520E-02  5.4573E-02  2.0062E-01  1.5322E-03  9.9099E-04  2.9801E-04  5.2999E-02  1.9739E-01  8.0690E-05
  2.8485E-02  5.1756E-02  1.9181E-01  1.4686E-03  9.5697E-04  3.0217E-04  5.0254E-02  1.8876E-01  7.5014E-05
  2.5123E-02  4.8423E-02  1.8127E-01  1.3904E-03  9.1363E-04  3.0370E-04  4.7008E-02  1.7842E-01  6.8475E-05
  2.2381E-02  4.5513E-02  1.7196E-01  1.3198E-03  8.7321E-04  3.0219E-04  4.4175E-02  1.6929E-01  6.2921E-05
  2.0132E-02  4.2968E-02  1.6373E-01  1.2564E-03  8.3596E-04  2.9877E-04  4.1699E-02  1.6122E-01  5.8187E-05
  1.8150E-02  4.0586E-02  1.5595E-01  1.1955E-03  7.9955E-04  2.9384E-04  3.9382E-02  1.5359E-01  5.3860E-05
  1.6433E-02  3.8400E-02  1.4874E-01  1.1385E-03  7.6486E-04  2.8791E-04  3.7256E-02  1.4651E-01  4.9979E-05
  1.4991E-02  3.6456E-02  1.4227E-01  1.0870E-03  7.3302E-04  2.8151E-04  3.5367E-02  1.4016E-01  4.6604E-05
  1.3767E-02  3.4724E-02  1.3645E-01  1.0404E-03  7.0391E-04  2.7497E-04  3.3684E-02  1.3445E-01  4.3655E-05
  1.2662E-02  3.3080E-02  1.3089E-01  9.9551E-04  6.7563E-04  2.6802E-04  3.2087E-02  1.2898E-01  4.0912E-05
  1.1679E-02  3.1547E-02  1.2565E-01  9.5323E-04  6.4873E-04  2.6093E-04  3.0599E-02  1.2385E-01  3.8401E-05
  1.0829E-02  3.0164E-02  1.2090E-01  9.1468E-04  6.2401E-04  2.5403E-04  2.9256E-02  1.1917E-01  3.6174E-05
  1.0096E-02  2.8918E-02  1.1658E-01  8.7965E-04  6.0140E-04  2.4742E-04  2.8046E-02  1.1493E-01  3.4201E-05
  9.4172E-03  2.7720E-02  1.1240E-01  8.4569E-04  5.7936E-04  2.4071E-04  2.6883E-02  1.1083E-01  3.2334E-05
  8.8026E-03  2.6592E-02  1.0844E-01  8.1349E-04  5.5833E-04  2.3408E-04  2.5788E-02  1.0693E-01  3.0604E-05
  8.2628E-03  2.5564E-02  1.0480E-01  7.8394E-04  5.3896E-04  2.2779E-04  2.4791E-02  1.0336E-01  2.9051E-05
  7.7883E-03  2.4629E-02  1.0148E-01  7.5693E-04  5.2117E-04  2.2186E-04  2.3883E-02  1.0009E-01  2.7658E-05
  7.3422E-03  2.3722E-02  9.8233E-02  7.3057E-04  5.0374E-04  2.1591E-04  2.3003E-02  9.6899E-02  2.6324E-05
  6.9313E-03  2.2860E-02  9.5130E-02  7.0540E-04  4.8704E-04  2.1010E-04  2.2166E-02  9.3848E-02  2.5074E-05
  6.5658E-03  2.2069E-02  9.2266E-02  6.8219E-04  4.7159E-04  2.0462E-04  2.1399E-02  9.1031E-02  2.3941E-05
  6.2403E-03  2.1344E-02  8.9628E-02  6.6085E-04  4.5734E-04  1.9949E-04  2.0696E-02  8.8437E-02  2.2916E-05
  5.9299E-03  2.0635E-02  8.7035E-02  6.3989E-04  4.4332E-04  1.9436E-04  2.0008E-02  8.5886E-02  2.1924E-05
  5.6422E-03  1.9959E-02  8.4548E-02  6.1984E-04  4.2986E-04  1.8936E-04  1.9352E-02  8.3440E-02  2.0991E-05
  5.3815E-03  1.9332E-02  8.2232E-02  6.0119E-04  4.1731E-04  1.8466E-04  1.8743E-02  8.1161E-02  2.0134E-05
  5.1483E-03  1.8756E-02  8.0094E-02  5.8400E-04  4.0573E-04  1.8025E-04  1.8185E-02  7.9057E-02  1.9356E-05
  4.9233E-03  1.8189E-02  7.7979E-02  5.6703E-04  3.9427E-04  1.7586E-04  1.7635E-02  7.6976E-02  1.8597E-05
  3.2292E-01  1.6959E-01  5.3152E-01  2.5339E-04  0.0000E+00  0.0000E+00  1.6895E-01  5.2447E-01  3.4566E-04
  2.7907E-01  1.5570E-01  4.9627E-01  7.8768E-04  0.0000E+00  0.0000E+00  1.5462E-01  4.8945E-01  3.0258E-04
  2.4916E-01  1.4591E-01  4.7095E-01  1.0914E-03  0.0000E+00  0.0000E+00  1.4458E-01  4.6434E-01  2.7384E-04
  2.1271E-01  1.3356E-01  4.3836E-01  1.3928E-03  0.0000E+00  0.0000E+00  1.3199E-01  4.3208E-01  2.3938E-04
  2.1271E-01  1.3356E-01  4.3836E-01  1.3928E-03  8.1414E-10  0.0000E+00  1.3199E-01  4.3208E-01  2.3938E-04
  1.8470E-01  1.2396E-01  4.1253E-01  1.5635E-03  2.9612E-04  0.0000E+00  1.2227E-01  4.0655E-01  2.1404E-04
  1.6129E-01  1.1547E-01  3.8927E-01  1.6705E-03  4.9939E-04  0.0000E+00  1.1370E-01  3.8358E-01  1.9260E-04
  1.4355E-01  1.0867E-01  3.7039E-01  1.7275E-03  6.3214E-04  0.0000E+00  1.0687E-01  3.6496E-01  1.7615E-04
  1.2844E-01  1.0259E-01  3.5326E-01  1.7576E-03  7.2939E-04  0.0000E+00  1.0078E-01  3.4807E-01  1.6191E-04
  1.1423E-01  9.6565E-02  3.3606E-01  1.7687E-03  8.0624E-04  0.0000E+00  9.4761E-02  3.3112E-01  1.4828E-04
  1.0322E-01  9.1658E-02  3.2188E-01  1.7645E-03  8.5509E-04  0.0000E+00  8.9870E-02  3.1715E-01  1.3752E-04
  9.3685E-02  8.7199E-02  3.0885E-01  1.7505E-03  8.8878E-04  0.0000E+00  8.5436E-02  3.0433E-01  1.2802E-04
  8.6800E-02  8.3844E-02  2.9896E-01  1.7339E-03  9.0784E-04  0.0000E+00  8.2105E-02  2.9459E-01  1.2103E-04
  6.7814E-02  7.3875E-02  2.6906E-01  1.6548E-03  9.3350E-04  0.0000E+00  7.2233E-02  2.6516E-01  1.0113E-04
  6.7814E-02  7.3875E-02  2.6906E-01  1.6548E-03  9.3350E-04  1.0073E-11  7.2233E-02  2.6516E-01  1.0113E-04
  6.4261E-02  7.1934E-02  2.6314E-01  1.6342E-03  9.3310E-04  2.9779E-05  7.0316E-02  2.5934E-01  9.7414E-05
  5.4947E-02  6.6549E-02  2.4655E-01  1.5691E-03  9.2358E-04  9.2379E-05  6.5003E-02  2.4303E-01  8.7343E-05
  4.6830E-02  6.1438E-02  2.3057E-01  1.4964E-03  9.0310E-04  1.3999E-04  5.9970E-02  2.2730E-01  7.8140E-05
  4.0622E-02  5.7193E-02  2.1709E-01  1.4282E-03  8.7802E-04  1.7098E-04  5.5797E-02  2.1405E-01  7.0762E-05
  3.5288E-02  5.3252E-02  2.0441E-01  1.3590E-03  8.4850E-04  1.9312E-04  5.1927E-02  2.0157E-01  6.4131E-05
  3.1463E-02  5.0218E-02  1.9452E-01  1.3021E-03  8.2188E-04  2.0598E-04  4.8952E-02  1.9185E-01  5.9173E-05
  2.7457E-02  4.6808E-02  1.8328E-01  1.2343E-03  7.8801E-04  2.1622E-04  4.5611E-02  1.8079E-01  5.3756E-05
  2.4398E-02  4.4013E-02  1.7395E-01  1.1759E-03  7.5731E-04  2.2145E-04  4.2874E-02  1.7162E-01  4.9437E-05
  2.1936E-02  4.1617E-02  1.6587E-01  1.1240E-03  7.2897E-04  2.2375E-04  4.0531E-02  1.6367E-01  4.5826E-05
  1.9226E-02  3.8794E-02  1.5624E-01  1.0606E-03  6.9321E-04  2.2390E-04  3.7771E-02  1.5419E-01  4.1681E-05
  1.7031E-02  3.6339E-02  1.4776E-01  1.0036E-03  6.6016E-04  2.2191E-04  3.5373E-02  1.4585E-01  3.8173E-05
  1.5241E-02  3.4200E-02  1.4030E-01  9.5256E-04  6.2992E-04  2.1860E-04  3.3284E-02  1.3850E-01  3.5192E-05
  1.3673E-02  3.2205E-02  1.3326E-01  9.0389E-04  6.0055E-04  2.1424E-04  3.1337E-02  1.3157E-01  3.2477E-05
  1.2322E-02  3.0380E-02  1.2676E-01  8.5848E-04  5.7275E-04  2.0921E-04  2.9557E-02  1.2517E-01  3.0049E-05
  1.1193E-02  2.8763E-02  1.2095E-01  8.1754E-04  5.4735E-04  2.0393E-04  2.7980E-02  1.1945E-01  2.7945E-05
  1.0239E-02  2.7327E-02  1.1573E-01  7.8065E-04  5.2425E-04  1.9863E-04  2.6579E-02  1.1431E-01  2.6111E-05
  9.3830E-03  2.5967E-02  1.1076E-01  7.4529E-04  5.0189E-04  1.9306E-04  2.5254E-02  1.0941E-01  2.4409E-05
  8.6236E-03  2.4703E-02  1.0610E-01  7.1205E-04  4.8071E-04  1.8745E-04  2.4023E-02  1.0482E-01  2.2855E-05
  7.9704E-03  2.3566E-02  1.0186E-01  6.8183E-04  4.6133E-04  1.8204E-04  2.2914E-02  1.0065E-01  2.1480E-05
  7.4082E-03  2.2543E-02  9.8036E-02  6.5444E-04  4.4365E-04  1.7688E-04  2.1919E-02  9.6875E-02  2.0266E-05
  6.8902E-03  2.1563E-02  9.4336E-02  6.2796E-04  4.2648E-04  1.7169E-04  2.0964E-02  9.3229E-02  1.9118E-05
  6.4227E-03  2.0642E-02  9.0837E-02  6.0290E-04  4.1015E-04  1.6659E-04  2.0067E-02  8.9780E-02  1.8058E-05
  6.0134E-03  1.9804E-02  8.7634E-02  5.7998E-04  3.9514E-04  1.6177E-04  1.9252E-02  8.6622E-02  1.7107E-05
  5.6547E-03  1.9045E-02  8.4710E-02  5.5906E-04  3.8140E-04  1.5724E-04  1.8512E-02  8.3739E-02  1.6257E-05
  5.3184E-03  1.8309E-02  8.1861E-02  5.3868E-04  3.6797E-04  1.5273E-04  1.7796E-02  8.0929E-02  1.5445E-05
  5.0096E-03  1.7611E-02  7.9142E-02  5.1927E-04  3.5513E-04  1.4834E-04  1.7117E-02  7.8249E-02  1.4684E-05
  4.7356E-03  1.6972E-02  7.6638E-02  5.0141E-04  3.4329E-04  1.4421E-04  1.6495E-02  7.5778E-02  1.3996E-05
  4.4922E-03  1.6387E-02  7.4336E-02  4.8502E-04  3.3239E-04  1.4035E-04  1.5926E-02  7.3508E-02  1.3375E-05
  4.2606E-03  1.5817E-02  7.2076E-02  4.6895E-04  3.2168E-04  1.3651E-04  1.5371E-02  7.1278E-02  1.2775E-05
  4.0465E-03  1.5273E-02  6.9913E-02  4.5360E-04  3.1142E-04  1.3278E-04  1.4842E-02  6.9144E-02  1.2212E-05
  3.8529E-03  1.4770E-02  6.7901E-02  4.3934E-04  3.0188E-04  1.2927E-04  1.4353E-02  6.7159E-02  1.1695E-05
  3.6801E-03  1.4309E-02  6.6047E-02  4.2623E-04  2.9309E-04  1.2600E-04  1.3905E-02  6.5329E-02  1.1227E-05
  3.5136E-03  1.3856E-02  6.4216E-02  4.1331E-04  2.8441E-04  1.2274E-04  1.3464E-02  6.3522E-02  1.0771E-05
  2.9010E-01  1.4625E-01  4.9110E-01  1.5561E-04  0.0000E+00  0.0000E+00  1.4615E-01  4.8597E-01  2.2303E-04
  2.4771E-01  1.3345E-01  4.5603E-01  6.1103E-04  0.0000E+00  0.0000E+00  1.3292E-01  4.5104E-01  1.9412E-04
  2.1921E-01  1.2450E-01  4.3101E-01  8.6635E-04  0.0000E+00  0.0000E+00  1.2372E-01  4.2616E-01  1.7493E-04
  1.8497E-01  1.1327E-01  3.9903E-01  1.1156E-03  0.0000E+00  0.0000E+00  1.1225E-01  3.9441E-01  1.5205E-04
  1.8497E-01  1.1327E-01  3.9903E-01  1.1156E-03  6.6675E-10  0.0000E+00  1.1225E-01  3.9441E-01  1.5205E-04
  1.5908E-01  1.0461E-01  3.7386E-01  1.2537E-03  2.4135E-04  0.0000E+00  1.0346E-01  3.6945E-01  1.3531E-04
  1.3768E-01  9.6987E-02  3.5132E-01  1.3379E-03  4.0460E-04  0.0000E+00  9.5754E-02  3.4713E-01  1.2123E-04
  1.2162E-01  9.0927E-02  3.3312E-01  1.3807E-03  5.0962E-04  0.0000E+00  8.9651E-02  3.2912E-01  1.1046E-04
  1.0807E-01  8.5525E-02  3.1668E-01  1.4015E-03  5.8533E-04  0.0000E+00  8.4228E-02  3.1286E-01  1.0118E-04
  9.5414E-02  8.0197E-02  3.0024E-01  1.4064E-03  6.4395E-04  0.0000E+00  7.8893E-02  2.9662E-01  9.2327E-05
  8.5690E-02  7.5876E-02  2.8675E-01  1.3994E-03  6.8026E-04  0.0000E+00  7.4578E-02  2.8328E-01  8.5363E-05
  7.7327E-02  7.1966E-02  2.7440E-01  1.3847E-03  7.0442E-04  0.0000E+00  7.0680E-02  2.7109E-01  7.9233E-05
  7.1321E-02  6.9033E-02  2.6504E-01  1.3687E-03  7.1745E-04  0.0000E+00  6.7761E-02  2.6185E-01  7.4740E-05
  5.4931E-02  6.0369E-02  2.3693E-01  1.2973E-03  7.3109E-04  0.0000E+00  5.9162E-02  2.3410E-01  6.2003E-05
  5.4931E-02  6.0369E-02  2.3693E-01  1.2973E-03  7.3109E-04  7.6836E-12  5.9162E-02  2.3410E-01  6.2003E-05
  5.1901E-02  5.8691E-02  2.3140E-01  1.2794E-03  7.2942E-04  2.2700E-05  5.7501E-02  2.2864E-01  5.9633E-05
  4.4003E-02  5.4053E-02  2.1594E-01  1.2232E-03  7.1816E-04  7.0008E-05  5.2915E-02  2.1339E-01  5.3236E-05
  3.7183E-02  4.9675E-02  2.0112E-01  1.1614E-03  6.9853E-04  1.0547E-04  4.8593E-02  1.9876E-01  4.7417E-05
  3.2013E-02  4.6056E-02  1.8868E-01  1.1043E-03  6.7600E-04  1.2815E-04  4.5028E-02  1.8649E-01  4.2773E-05
  2.7606E-02  4.2712E-02  1.7702E-01  1.0468E-03  6.5035E-04  1.4401E-04  4.1737E-02  1.7499E-01  3.8615E-05
  2.4469E-02  4.0149E-02  1.6798E-01  9.9980E-04  6.2767E-04  1.5299E-04  3.9217E-02  1.6606E-01  3.5518E-05
  2.1207E-02  3.7280E-02  1.5772E-01  9.4429E-04  5.9926E-04  1.5983E-04  3.6400E-02  1.5595E-01  3.2146E-05
  1.8732E-02  3.4937E-02  1.4925E-01  8.9681E-04  5.7382E-04  1.6304E-04  3.4101E-02  1.4758E-01  2.9468E-05
  1.6753E-02  3.2937E-02  1.4193E-01  8.5477E-04  5.5056E-04  1.6414E-04  3.2140E-02  1.4036E-01  2.7236E-05
  1.4589E-02  3.0589E-02  1.3325E-01  8.0371E-04  5.2147E-04  1.6352E-04  2.9839E-02  1.3179E-01  2.4682E-05
  1.2848E-02  2.8555E-02  1.2563E-01  7.5806E-04  4.9479E-04  1.6141E-04  2.7848E-02  1.2427E-01  2.2529E-05
  1.1438E-02  2.6790E-02  1.1894E-01  7.1740E-04  4.7056E-04  1.5842E-04  2.6120E-02  1.1767E-01  2.0706E-05
  1.0209E-02  2.5149E-02  1.1266E-01  6.7877E-04  4.4717E-04  1.5470E-04  2.4516E-02  1.1147E-01  1.9051E-05
  9.1562E-03  2.3653E-02  1.0688E-01  6.4288E-04  4.2515E-04  1.5056E-04  2.3053E-02  1.0576E-01  1.7575E-05
  8.2811E-03  2.2332E-02  1.0172E-01  6.1065E-04  4.0514E-04  1.4629E-04  2.1762E-02  1.0066E-01  1.6299E-05
  7.5455E-03  2.1162E-02  9.7106E-02  5.8171E-04  3.8701E-04  1.4208E-04  2.0619E-02  9.6111E-02  1.5191E-05
  6.8880E-03  2.0058E-02  9.2716E-02  5.5405E-04  3.6955E-04  1.3770E-04  1.9541E-02  9.1775E-02  1.4165E-05
  6.3075E-03  1.9034E-02  8.8613E-02  5.2814E-04  3.5307E-04  1.3333E-04  1.8541E-02  8.7721E-02  1.3231E-05
  5.8102E-03  1.8115E-02  8.4899E-02  5.0464E-04  3.3804E-04  1.2915E-04  1.7644E-02  8.4052E-02  1.2406E-05
  5.3839E-03  1.7292E-02  8.1546E-02  4.8340E-04  3.2438E-04  1.2520E-04  1.6840E-02  8.0740E-02  1.1680E-05
  4.9926E-03  1.6504E-02  7.8313E-02  4.6292E-04  3.1114E-04  1.2123E-04  1.6071E-02  7.7545E-02  1.0995E-05
  4.6406E-03  1.5765E-02  7.5263E-02  4.4360E-04  2.9860E-04  1.1736E-04  1.5350E-02  7.4530E-02  1.0363E-05
  4.3334E-03  1.5095E-02  7.2476E-02  4.2595E-04  2.8711E-04  1.1372E-04  1.4697E-02  7.1777E-02  9.7980E-06
  4.0651E-03  1.4489E-02  6.9938E-02  4.0989E-04  2.7661E-04  1.1032E-04  1.4106E-02  6.9267E-02  9.2937E-06
  3.8143E-03  1.3902E-02  6.7468E-02  3.9428E-04  2.6637E-04  1.0694E-04  1.3534E-02  6.6826E-02  8.8125E-06
  3.5846E-03  1.3348E-02  6.5117E-02  3.7943E-04  2.5662E-04  1.0366E-04  1.2993E-02  6.4502E-02  8.3630E-06
  3.3814E-03  1.2840E-02  6.2955E-02  3.6580E-04  2.4763E-04  1.0059E-04  1.2498E-02  6.2364E-02  7.9575E-06
  3.2013E-03  1.2378E-02  6.0971E-02  3.5332E-04  2.3938E-04  9.7730E-05  1.2047E-02  6.0403E-02  7.5918E-06
  3.0304E-03  1.1926E-02  5.9027E-02  3.4110E-04  2.3130E-04  9.4891E-05  1.1607E-02  5.8480E-02  7.2392E-06
  2.8728E-03  1.1498E-02  5.7169E-02  3.2944E-04  2.2357E-04  9.2142E-05  1.1190E-02  5.6643E-02  6.9084E-06
  2.7305E-03  1.1102E-02  5.5444E-02  3.1864E-04  2.1639E-04  8.9564E-05  1.0804E-02  5.4937E-02  6.6058E-06
  2.6038E-03  1.0739E-02  5.3857E-02  3.0873E-04  2.0979E-04  8.7167E-05  1.0450E-02  5.3367E-02  6.3320E-06
  2.4821E-03  1.0383E-02  5.2292E-02  2.9896E-04  2.0329E-04  8.4784E-05  1.0104E-02  5.1819E-02  6.0658E-06
  2.5894E-01  1.2405E-01  4.4908E-01  9.3144E-05  0.0000E+00  0.0000E+00  1.2420E-01  4.4548E-01  1.3974E-04
  2.1845E-01  1.1251E-01  4.1472E-01  4.7694E-04  0.0000E+00  0.0000E+00  1.1225E-01  4.1118E-01  1.2093E-04
  1.9161E-01  1.0448E-01  3.9037E-01  6.8896E-04  0.0000E+00  0.0000E+00  1.0400E-01  3.8691E-01  1.0851E-04
  1.5977E-01  9.4480E-02  3.5944E-01  8.9248E-04  0.0000E+00  0.0000E+00  9.3780E-02  3.5613E-01  9.3777E-05
  1.5977E-01  9.4480E-02  3.5944E-01  8.9248E-04  5.4139E-10  0.0000E+00  9.3780E-02  3.5613E-01  9.3777E-05
  1.3609E-01  8.6820E-02  3.3526E-01  1.0025E-03  1.9502E-04  0.0000E+00  8.5997E-02  3.3209E-01  8.3061E-05
  1.1672E-01  8.0118E-02  3.1373E-01  1.0674E-03  3.2494E-04  0.0000E+00  7.9218E-02  3.1071E-01  7.4086E-05
  1.0233E-01  7.4817E-02  2.9643E-01  1.0987E-03  4.0724E-04  0.0000E+00  7.3875E-02  2.9355E-01  6.7252E-05
  9.0280E-02  7.0113E-02  2.8087E-01  1.1120E-03  4.6556E-04  0.0000E+00  6.9149E-02  2.7812E-01  6.1387E-05
  7.9126E-02  6.5495E-02  2.6538E-01  1.1123E-03  5.0973E-04  0.0000E+00  6.4521E-02  2.6277E-01  5.5812E-05
  7.0618E-02  6.1765E-02  2.5272E-01  1.1036E-03  5.3630E-04  0.0000E+00  6.0792E-02  2.5023E-01  5.1442E-05
  6.3350E-02  5.8402E-02  2.4117E-01  1.0888E-03  5.5324E-04  0.0000E+00  5.7437E-02  2.3879E-01  4.7608E-05
  5.8162E-02  5.5888E-02  2.3245E-01  1.0738E-03  5.6182E-04  0.0000E+00  5.4933E-02  2.3016E-01  4.4806E-05
  4.4146E-02  4.8503E-02  2.0639E-01  1.0104E-03  5.6726E-04  0.0000E+00  4.7596E-02  2.0436E-01  3.6899E-05
  4.4146E-02  4.8503E-02  2.0639E-01  1.0104E-03  5.6726E-04  5.8035E-12  4.7596E-02  2.0436E-01  3.6899E-05
  4.1587E-02  4.7082E-02  2.0128E-01  9.9486E-04  5.6491E-04  1.7134E-05  4.6187E-02  1.9931E-01  3.5435E-05
  3.4953E-02  4.3164E-02  1.8707E-01  9.4691E-04  5.5320E-04  5.2526E-05  4.2309E-02  1.8524E-01  3.1495E-05
  2.9278E-02  3.9485E-02  1.7351E-01  8.9501E-04  5.3519E-04  7.8653E-05  3.8674E-02  1.7183E-01  2.7928E-05
  2.5013E-02  3.6460E-02  1.6218E-01  8.4755E-04  5.1551E-04  9.5063E-05  3.5690E-02  1.6062E-01  2.5093E-05
  2.1408E-02  3.3677E-02  1.5161E-01  8.0025E-04  4.9369E-04  1.0629E-04  3.2948E-02  1.5017E-01  2.2566E-05
  1.8860E-02  3.1553E-02  1.4344E-01  7.6190E-04  4.7474E-04  1.1245E-04  3.0857E-02  1.4209E-01  2.0690E-05
  1.6229E-02  2.9185E-02  1.3421E-01  7.1688E-04  4.5130E-04  1.1691E-04  2.8529E-02  1.3296E-01  1.8655E-05
  1.4248E-02  2.7259E-02  1.2662E-01  6.7860E-04  4.3055E-04  1.1876E-04  2.6638E-02  1.2545E-01  1.7045E-05
  1.2674E-02  2.5621E-02  1.2008E-01  6.4490E-04  4.1174E-04  1.1912E-04  2.5029E-02  1.1898E-01  1.5707E-05
  1.0963E-02  2.3705E-02  1.1235E-01  6.0418E-04  3.8841E-04  1.1813E-04  2.3150E-02  1.1133E-01  1.4182E-05
  9.5970E-03  2.2052E-02  1.0559E-01  5.6797E-04  3.6718E-04  1.1612E-04  2.1530E-02  1.0465E-01  1.2901E-05
  8.4971E-03  2.0623E-02  9.9685E-02  5.3587E-04  3.4802E-04  1.1354E-04  2.0129E-02  9.8800E-02  1.1820E-05
  7.5446E-03  1.9299E-02  9.4153E-02  5.0551E-04  3.2964E-04  1.1047E-04  1.8833E-02  9.3325E-02  1.0842E-05
  6.7332E-03  1.8096E-02  8.9073E-02  4.7742E-04  3.1242E-04  1.0714E-04  1.7656E-02  8.8299E-02  9.9722E-06
  6.0624E-03  1.7038E-02  8.4557E-02  4.5229E-04  2.9686E-04  1.0377E-04  1.6620E-02  8.3828E-02  9.2230E-06
  5.5013E-03  1.6103E-02  8.0531E-02  4.2979E-04  2.8282E-04  1.0048E-04  1.5705E-02  7.9844E-02  8.5735E-06
  5.0021E-03  1.5223E-02  7.6710E-02  4.0837E-04  2.6934E-04  9.7104E-05  1.4845E-02  7.6061E-02  7.9742E-06
  4.5634E-03  1.4410E-02  7.3147E-02  3.8836E-04  2.5668E-04  9.3759E-05  1.4050E-02  7.2533E-02  7.4298E-06
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  3.8696E-03  1.3031E-02  6.7033E-02  3.5397E-04  2.3474E-04  8.7595E-05  1.2703E-02  6.6480E-02  6.5291E-06
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  3.0876E-03  1.1303E-02  5.9230E-02  3.1007E-04  2.0645E-04  7.9017E-05  1.1015E-02  5.8752E-02  5.4427E-06
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  2.5355E-03  9.9374E-03  5.2938E-02  2.7477E-04  1.8350E-04  7.1591E-05  9.6818E-03  5.2519E-02  4.6193E-06
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  9.8192E-02  6.4996E-02  2.7702E-01  8.4677E-04  2.5840E-04  0.0000E+00  6.4308E-02  2.7489E-01  4.3839E-05
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  9.7262E-02  5.6546E-02  2.6044E-01  6.3064E-04  1.2349E-04  0.0000E+00  5.6053E-02  2.5890E-01  2.8428E-05
  8.1884E-02  5.1688E-02  2.4162E-01  6.6671E-04  2.0320E-04  0.0000E+00  5.1144E-02  2.4014E-01  2.5130E-05
  7.0675E-02  4.7883E-02  2.2666E-01  6.8148E-04  2.5203E-04  0.0000E+00  4.7314E-02  2.2524E-01  2.2641E-05
  6.1444E-02  4.4538E-02  2.1331E-01  6.8493E-04  2.8536E-04  0.0000E+00  4.3956E-02  2.1195E-01  2.0521E-05
  5.3040E-02  4.1282E-02  2.0013E-01  6.7990E-04  3.0936E-04  0.0000E+00  4.0696E-02  1.9884E-01  1.8521E-05
  4.6725E-02  3.8674E-02  1.8944E-01  6.7012E-04  3.2278E-04  0.0000E+00  3.8091E-02  1.8821E-01  1.6964E-05
  4.1407E-02  3.6340E-02  1.7976E-01  6.5698E-04  3.3038E-04  0.0000E+00  3.5764E-02  1.7859E-01  1.5607E-05
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  2.7725E-02  2.9572E-02  1.5102E-01  5.9694E-04  3.3040E-04  0.0000E+00  2.9038E-02  1.5002E-01  1.1864E-05
  2.7725E-02  2.9572E-02  1.5102E-01  5.9694E-04  3.3040E-04  3.1969E-12  2.9038E-02  1.5002E-01  1.1864E-05
  2.5955E-02  2.8613E-02  1.4686E-01  5.8580E-04  3.2776E-04  9.4244E-06  2.8088E-02  1.4589E-01  1.1359E-05
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  9.5231E-04  4.3742E-03  2.8925E-02  1.1875E-04  7.7187E-05  2.8501E-05  4.2620E-03  2.8767E-02  1.0339E-06
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  8.1007E-04  3.8948E-03  2.6114E-02  1.0639E-04  6.9245E-05  2.5851E-05  3.7941E-03  2.5974E-02  8.9522E-07
  1.7596E-01  6.7540E-02  3.2056E-01  1.6796E-05  0.0000E+00  0.0000E+00  6.7685E-02  3.1957E-01  2.8202E-05
  1.4305E-01  6.0116E-02  2.9100E-01  2.3001E-04  0.0000E+00  0.0000E+00  6.0026E-02  2.8994E-01  2.3982E-05
  1.2207E-01  5.5055E-02  2.7045E-01  3.4221E-04  0.0000E+00  0.0000E+00  5.4838E-02  2.6936E-01  2.1240E-05
  9.8118E-02  4.8867E-02  2.4482E-01  4.4379E-04  0.0000E+00  0.0000E+00  4.8531E-02  2.4374E-01  1.8039E-05
  9.8118E-02  4.8867E-02  2.4482E-01  4.4379E-04  2.7207E-10  0.0000E+00  4.8531E-02  2.4374E-01  1.8039E-05
  8.1091E-02  4.4221E-02  2.2518E-01  4.9395E-04  9.6509E-05  0.0000E+00  4.3822E-02  2.2413E-01  1.5749E-05
  6.7615E-02  4.0226E-02  2.0798E-01  5.1978E-04  1.5777E-04  0.0000E+00  3.9790E-02  2.0696E-01  1.3859E-05
  5.7887E-02  3.7113E-02  1.9436E-01  5.2907E-04  1.9462E-04  0.0000E+00  3.6660E-02  1.9339E-01  1.2439E-05
  4.9943E-02  3.4388E-02  1.8227E-01  5.2959E-04  2.1926E-04  0.0000E+00  3.3927E-02  1.8134E-01  1.1233E-05
  4.2771E-02  3.1747E-02  1.7039E-01  5.2345E-04  2.3648E-04  0.0000E+00  3.1287E-02  1.6950E-01  1.0100E-05
  3.7424E-02  2.9641E-02  1.6079E-01  5.1401E-04  2.4567E-04  0.0000E+00  2.9185E-02  1.5994E-01  9.2219E-06
  3.2953E-02  2.7763E-02  1.5212E-01  5.0217E-04  2.5044E-04  0.0000E+00  2.7314E-02  1.5131E-01  8.4587E-06
  2.9817E-02  2.6373E-02  1.4564E-01  4.9143E-04  2.5200E-04  0.0000E+00  2.5931E-02  1.4486E-01  7.9053E-06
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  2.0162E-02  2.1598E-02  1.2290E-01  4.4190E-04  2.4476E-04  6.8442E-06  2.1195E-02  1.2224E-01  6.0865E-06
  1.6483E-02  1.9524E-02  1.1277E-01  4.1443E-04  2.3570E-04  2.0588E-05  1.9144E-02  1.1216E-01  5.3378E-06
  1.3425E-02  1.7607E-02  1.0324E-01  3.8594E-04  2.2424E-04  3.0243E-05  1.7252E-02  1.0268E-01  4.6694E-06
  1.1191E-02  1.6055E-02  9.5398E-02  3.6074E-04  2.1286E-04  3.5945E-05  1.5721E-02  9.4881E-02  4.1452E-06
  9.3490E-03  1.4646E-02  8.8173E-02  3.3628E-04  2.0097E-04  3.9541E-05  1.4334E-02  8.7698E-02  3.6837E-06
  8.0770E-03  1.3585E-02  8.2654E-02  3.1688E-04  1.9107E-04  4.1290E-05  1.3290E-02  8.2210E-02  3.3450E-06
  6.7929E-03  1.2416E-02  7.6494E-02  2.9456E-04  1.7922E-04  4.2275E-05  1.2141E-02  7.6086E-02  2.9816E-06
  5.8474E-03  1.1477E-02  7.1480E-02  2.7594E-04  1.6903E-04  4.2386E-05  1.1219E-02  7.1101E-02  2.6972E-06
  5.1107E-03  1.0686E-02  6.7211E-02  2.5980E-04  1.6000E-04  4.2020E-05  1.0443E-02  6.6856E-02  2.4633E-06
  4.3269E-03  9.7727E-03  6.2213E-02  2.4060E-04  1.4904E-04  4.1079E-05  9.5469E-03  6.1888E-02  2.1993E-06
  3.7146E-03  8.9941E-03  5.7898E-02  2.2381E-04  1.3929E-04  3.9857E-05  8.7837E-03  5.7597E-02  1.9801E-06
  3.2315E-03  8.3285E-03  5.4163E-02  2.0913E-04  1.3064E-04  3.8512E-05  8.1316E-03  5.3884E-02  1.7969E-06
  2.8211E-03  7.7185E-03  5.0701E-02  1.9543E-04  1.2249E-04  3.7043E-05  7.5343E-03  5.0442E-02  1.6328E-06
  2.4778E-03  7.1701E-03  4.7554E-02  1.8291E-04  1.1496E-04  3.5533E-05  6.9973E-03  4.7313E-02  1.4883E-06
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  1.7678E-03  5.8836E-03  4.0024E-02  1.5279E-04  9.6618E-05  3.1300E-05  5.7389E-03  3.9826E-02  1.1618E-06
  1.5934E-03  5.5260E-03  3.7891E-02  1.4424E-04  9.1350E-05  2.9958E-05  5.3892E-03  3.7704E-02  1.0743E-06
  1.4466E-03  5.2084E-03  3.5979E-02  1.3657E-04  8.6611E-05  2.8707E-05  5.0787E-03  3.5803E-02  9.9788E-07
  1.3228E-03  4.9267E-03  3.4270E-02  1.2972E-04  8.2361E-05  2.7551E-05  4.8035E-03  3.4103E-02  9.3115E-07
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  1.1118E-03  4.4120E-03  3.1111E-02  1.1707E-04  7.4480E-05  2.5328E-05  4.3006E-03  3.0961E-02  8.1185E-07
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  9.5309E-04  3.9896E-03  2.8480E-02  1.0657E-04  6.7904E-05  2.3399E-05  3.8881E-03  2.8345E-02  7.1666E-07
  8.8523E-04  3.7981E-03  2.7275E-02  1.0177E-04  6.4890E-05  2.2493E-05  3.7010E-03  2.7146E-02  6.7434E-07
  8.2383E-04  3.6183E-03  2.6136E-02  9.7243E-05  6.2043E-05  2.1626E-05  3.5256E-03  2.6013E-02  6.3510E-07
  7.7015E-04  3.4554E-03  2.5097E-02  9.3123E-05  5.9447E-05  2.0825E-05  3.3665E-03  2.4980E-02  5.9998E-07
  7.2310E-04  3.3079E-03  2.4151E-02  8.9377E-05  5.7083E-05  2.0088E-05  3.2225E-03  2.4038E-02  5.6855E-07
  6.7887E-04  3.1651E-03  2.3229E-02  8.5737E-05  5.4784E-05  1.9364E-05  3.0831E-03  2.3122E-02  5.3843E-07
  6.3853E-04  3.0305E-03  2.2356E-02  8.2294E-05  5.2607E-05  1.8671E-05  2.9518E-03  2.2253E-02  5.1040E-07
  6.0243E-04  2.9069E-03  2.1550E-02  7.9123E-05  5.0599E-05  1.8028E-05  2.8312E-03  2.1451E-02  4.8490E-07
  5.7060E-04  2.7947E-03  2.0813E-02  7.6233E-05  4.8768E-05  1.7436E-05  2.7218E-03  2.0718E-02  4.6201E-07
  5.4023E-04  2.6852E-03  2.0091E-02  7.3405E-05  4.6975E-05  1.6853E-05  2.6149E-03  2.0000E-02  4.3986E-07
  1.5194E-01  5.2770E-02  2.7907E-01  8.8308E-06  0.0000E+00  0.0000E+00  5.2866E-02  2.7849E-01  1.5282E-05
  1.2193E-01  4.6669E-02  2.5182E-01  1.7928E-04  0.0000E+00  0.0000E+00  4.6579E-02  2.5115E-01  1.2917E-05
  1.0306E-01  4.2537E-02  2.3299E-01  2.6738E-04  0.0000E+00  0.0000E+00  4.2348E-02  2.3229E-01  1.1388E-05
  8.1778E-02  3.7515E-02  2.0966E-01  3.4535E-04  0.0000E+00  0.0000E+00  3.7236E-02  2.0894E-01  9.6135E-06
  8.1778E-02  3.7515E-02  2.0966E-01  3.4535E-04  2.1073E-10  0.0000E+00  3.7236E-02  2.0894E-01  9.6134E-06
  6.6874E-02  3.3769E-02  1.9189E-01  3.8244E-04  7.4346E-05  0.0000E+00  3.3445E-02  1.9118E-01  8.3514E-06
  5.5208E-02  3.0566E-02  1.7642E-01  4.0031E-04  1.2072E-04  0.0000E+00  3.0217E-02  1.7573E-01  7.3149E-06
  4.6870E-02  2.8083E-02  1.6423E-01  4.0559E-04  1.4809E-04  0.0000E+00  2.7724E-02  1.6357E-01  6.5393E-06
  4.0120E-02  2.5919E-02  1.5346E-01  4.0421E-04  1.6597E-04  0.0000E+00  2.5557E-02  1.5282E-01  5.8839E-06
  3.4078E-02  2.3832E-02  1.4292E-01  3.9769E-04  1.7805E-04  0.0000E+00  2.3472E-02  1.4231E-01  5.2702E-06
  2.9609E-02  2.2174E-02  1.3443E-01  3.8899E-04  1.8415E-04  0.0000E+00  2.1819E-02  1.3385E-01  4.7960E-06
  2.5899E-02  2.0701E-02  1.2680E-01  3.7862E-04  1.8694E-04  0.0000E+00  2.0354E-02  1.2624E-01  4.3855E-06
  2.3313E-02  1.9614E-02  1.2111E-01  3.6945E-04  1.8749E-04  0.0000E+00  1.9274E-02  1.2057E-01  4.0886E-06
  1.6617E-02  1.6493E-02  1.0447E-01  3.3607E-04  1.8209E-04  0.0000E+00  1.6181E-02  1.0400E-01  3.2677E-06
  1.6617E-02  1.6493E-02  1.0447E-01  3.3607E-04  1.8209E-04  1.6602E-12  1.6181E-02  1.0400E-01  3.2677E-06
  1.5453E-02  1.5906E-02  1.0128E-01  3.2859E-04  1.7990E-04  4.8866E-06  1.5600E-02  1.0082E-01  3.1187E-06
  1.2507E-02  1.4309E-02  9.2504E-02  3.0652E-04  1.7221E-04  1.4600E-05  1.4022E-02  9.2087E-02  2.7224E-06
  1.0085E-02  1.2840E-02  8.4300E-02  2.8391E-04  1.6287E-04  2.1300E-05  1.2574E-02  8.3920E-02  2.3703E-06
  8.3321E-03  1.1657E-02  7.7579E-02  2.6413E-04  1.5382E-04  2.5165E-05  1.1408E-02  7.7229E-02  2.0954E-06
  6.9004E-03  1.0588E-02  7.1417E-02  2.4510E-04  1.4451E-04  2.7522E-05  1.0357E-02  7.1095E-02  1.8545E-06
  5.9195E-03  9.7863E-03  6.6727E-02  2.3011E-04  1.3683E-04  2.8606E-05  9.5687E-03  6.6428E-02  1.6783E-06
  4.9372E-03  8.9069E-03  6.1515E-02  2.1298E-04  1.2775E-04  2.9129E-05  8.7050E-03  6.1240E-02  1.4900E-06
  4.2197E-03  8.2034E-03  5.7290E-02  1.9877E-04  1.2000E-04  2.9069E-05  8.0147E-03  5.7035E-02  1.3432E-06
  3.6645E-03  7.6135E-03  5.3704E-02  1.8652E-04  1.1318E-04  2.8699E-05  7.4362E-03  5.3466E-02  1.2229E-06
  3.0783E-03  6.9344E-03  4.9523E-02  1.7203E-04  1.0497E-04  2.7913E-05  6.7705E-03  4.9305E-02  1.0876E-06
  2.6240E-03  6.3581E-03  4.5926E-02  1.5942E-04  9.7700E-05  2.6958E-05  6.2060E-03  4.5726E-02  9.7564E-07
  2.2682E-03  5.8672E-03  4.2826E-02  1.4846E-04  9.1302E-05  2.5939E-05  5.7254E-03  4.2640E-02  8.8247E-07
  1.9679E-03  5.4191E-03  3.9962E-02  1.3827E-04  8.5297E-05  2.4848E-05  5.2869E-03  3.9789E-02  7.9924E-07
  1.7183E-03  5.0176E-03  3.7366E-02  1.2899E-04  7.9784E-05  2.3743E-05  4.8941E-03  3.7206E-02  7.2621E-07
  1.5169E-03  4.6689E-03  3.5088E-02  1.2083E-04  7.4895E-05  2.2684E-05  4.5531E-03  3.4938E-02  6.6407E-07
  1.3518E-03  4.3645E-03  3.3079E-02  1.1362E-04  7.0555E-05  2.1691E-05  4.2555E-03  3.2940E-02  6.1078E-07
  1.2081E-03  4.0817E-03  3.1195E-02  1.0685E-04  6.6457E-05  2.0705E-05  3.9791E-03  3.1064E-02  5.6217E-07
  1.0841E-03  3.8232E-03  2.9457E-02  1.0061E-04  6.2660E-05  1.9757E-05  3.7265E-03  2.9334E-02  5.1847E-07
  9.8028E-04  3.5942E-03  2.7903E-02  9.5026E-05  5.9256E-05  1.8877E-05  3.5028E-03  2.7788E-02  4.8039E-07
  8.9312E-04  3.3916E-03  2.6518E-02  9.0053E-05  5.6213E-05  1.8069E-05  3.3050E-03  2.6409E-02  4.4723E-07
  8.1469E-04  3.2001E-03  2.5198E-02  8.5320E-05  5.3309E-05  1.7280E-05  3.1180E-03  2.5094E-02  4.1633E-07
  7.4549E-04  3.0229E-03  2.3966E-02  8.0911E-05  5.0597E-05  1.6527E-05  2.9449E-03  2.3869E-02  3.8814E-07
  6.8621E-04  2.8640E-03  2.2854E-02  7.6935E-05  4.8146E-05  1.5833E-05  2.7899E-03  2.2761E-02  3.6323E-07
  6.3529E-04  2.7218E-03  2.1851E-02  7.3357E-05  4.5935E-05  1.5198E-05  2.6511E-03  2.1763E-02  3.4122E-07
  5.8843E-04  2.5857E-03  2.0885E-02  6.9917E-05  4.3807E-05  1.4578E-05  2.5183E-03  2.0801E-02  3.2042E-07
  5.4616E-04  2.4583E-03  1.9975E-02  6.6680E-05  4.1802E-05  1.3986E-05  2.3939E-03  1.9895E-02  3.0117E-07
  5.0934E-04  2.3430E-03  1.9146E-02  6.3740E-05  3.9978E-05  1.3441E-05  2.2815E-03  1.9070E-02  2.8398E-07
  4.7716E-04  2.2389E-03  1.8392E-02  6.1073E-05  3.8321E-05  1.2941E-05  2.1799E-03  1.8319E-02  2.6863E-07
  4.4698E-04  2.1383E-03  1.7659E-02  5.8486E-05  3.6713E-05  1.2452E-05  2.0817E-03  1.7590E-02  2.5394E-07
  4.1954E-04  2.0436E-03  1.6966E-02  5.6044E-05  3.5193E-05  1.1985E-05  1.9894E-03  1.6900E-02  2.4029E-07
  3.9505E-04  1.9569E-03  1.6328E-02  5.3798E-05  3.3795E-05  1.1552E-05  1.9048E-03  1.6264E-02  2.2790E-07
  3.7350E-04  1.8783E-03  1.5745E-02  5.1756E-05  3.2522E-05  1.1155E-05  1.8282E-03  1.5684E-02  2.1680E-07
  3.5299E-04  1.8017E-03  1.5175E-02  4.9761E-05  3.1277E-05  1.0765E-05  1.7535E-03  1.5116E-02  2.0607E-07
  1.2977E-01  4.0169E-02  2.3925E-01  4.4343E-06  0.0000E+00  0.0000E+00  4.0226E-02  2.3892E-01  7.8832E-06
  1.0277E-01  3.5294E-02  2.1455E-01  1.3849E-04  0.0000E+00  0.0000E+00  3.5207E-02  2.1413E-01  6.6214E-06
  8.5997E-02  3.2012E-02  1.9759E-01  2.0646E-04  0.0000E+00  0.0000E+00  3.1850E-02  1.9714E-01  5.8106E-06
  6.7339E-02  2.8048E-02  1.7671E-01  2.6517E-04  0.0000E+00  0.0000E+00  2.7821E-02  1.7624E-01  4.8743E-06
  6.7339E-02  2.8048E-02  1.7671E-01  2.6517E-04  1.6059E-10  0.0000E+00  2.7821E-02  1.7624E-01  4.8743E-06
  5.4465E-02  2.5111E-02  1.6091E-01  2.9192E-04  5.6336E-05  0.0000E+00  2.4852E-02  1.6044E-01  4.2126E-06
  4.4502E-02  2.2614E-02  1.4723E-01  3.0378E-04  9.0833E-05  0.0000E+00  2.2339E-02  1.4677E-01  3.6719E-06
  3.7452E-02  2.0688E-02  1.3651E-01  3.0625E-04  1.1078E-04  0.0000E+00  2.0408E-02  1.3606E-01  3.2691E-06
  3.1797E-02  1.9018E-02  1.2708E-01  3.0377E-04  1.2349E-04  0.0000E+00  1.8737E-02  1.2664E-01  2.9302E-06
  2.6778E-02  1.7413E-02  1.1788E-01  2.9741E-04  1.3175E-04  0.0000E+00  1.7136E-02  1.1747E-01  2.6141E-06
  2.3097E-02  1.6144E-02  1.1051E-01  2.8969E-04  1.3563E-04  0.0000E+00  1.5873E-02  1.1012E-01  2.3708E-06
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  1.7963E-02  1.4195E-02  9.9006E-02  2.7323E-04  1.3702E-04  0.0000E+00  1.3938E-02  9.8645E-02  2.0096E-06
  1.2584E-02  1.1837E-02  8.4735E-02  2.4618E-04  1.3168E-04  0.0000E+00  1.1603E-02  8.4419E-02  1.5933E-06
  1.2584E-02  1.1837E-02  8.4735E-02  2.4618E-04  1.3168E-04  1.1632E-12  1.1603E-02  8.4419E-02  1.5933E-06
  1.1661E-02  1.1395E-02  8.2014E-02  2.4023E-04  1.2982E-04  3.4211E-06  1.1167E-02  8.1707E-02  1.5181E-06
  9.3403E-03  1.0200E-02  7.4560E-02  2.2284E-04  1.2351E-04  1.0149E-05  9.9872E-03  7.4278E-02  1.3188E-06
  7.4524E-03  9.1063E-03  6.7624E-02  2.0525E-04  1.1610E-04  1.4701E-05  8.9101E-03  6.7368E-02  1.1426E-06
  6.0998E-03  8.2298E-03  6.1970E-02  1.9001E-04  1.0906E-04  1.7260E-05  8.0478E-03  6.1735E-02  1.0057E-06
  5.0054E-03  7.4421E-03  5.6809E-02  1.7548E-04  1.0193E-04  1.8762E-05  7.2737E-03  5.6594E-02  8.8624E-07
  4.2620E-03  6.8534E-03  5.2899E-02  1.6412E-04  9.6120E-05  1.9407E-05  6.6957E-03  5.2699E-02  7.9924E-07
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  1.5603E-03  4.0151E-03  3.3224E-02  1.0341E-04  6.2534E-05  1.7088E-05  3.9150E-03  3.3101E-02  4.1098E-07
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  1.1671E-03  3.4101E-03  2.8801E-02  8.9247E-05  5.4252E-05  1.5512E-05  3.3235E-03  2.8696E-02  3.3595E-07
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  9.0846E-04  2.9482E-03  2.5351E-02  7.8147E-05  4.7676E-05  1.4072E-05  2.8723E-03  2.5260E-02  2.8089E-07
  8.0789E-04  2.7492E-03  2.3842E-02  7.3285E-05  4.4775E-05  1.3388E-05  2.6780E-03  2.3756E-02  2.5781E-07
  7.2164E-04  2.5678E-03  2.2453E-02  6.8814E-05  4.2096E-05  1.2734E-05  2.5009E-03  2.2373E-02  2.3711E-07
  6.4977E-04  2.4076E-03  2.1216E-02  6.4833E-05  3.9704E-05  1.2132E-05  2.3445E-03  2.1141E-02  2.1913E-07
  5.8973E-04  2.2663E-03  2.0115E-02  6.1295E-05  3.7572E-05  1.1581E-05  2.2066E-03  2.0044E-02  2.0351E-07
  5.3593E-04  2.1330E-03  1.9069E-02  5.7937E-05  3.5543E-05  1.1046E-05  2.0766E-03  1.9002E-02  1.8899E-07
  4.8868E-04  2.0100E-03  1.8096E-02  5.4818E-05  3.3654E-05  1.0537E-05  1.9566E-03  1.8033E-02  1.7578E-07
  4.4837E-04  1.9000E-03  1.7219E-02  5.2012E-05  3.1953E-05  1.0071E-05  1.8493E-03  1.7159E-02  1.6413E-07
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  3.8225E-04  1.7080E-03  1.5671E-02  4.7078E-05  2.8952E-05  9.2313E-06  1.6621E-03  1.5617E-02  1.4418E-07
  3.5382E-04  1.6204E-03  1.4958E-02  4.4810E-05  2.7571E-05  8.8377E-06  1.5766E-03  1.4907E-02  1.3524E-07
  3.2914E-04  1.5413E-03  1.4310E-02  4.2755E-05  2.6317E-05  8.4766E-06  1.4995E-03  1.4261E-02  1.2727E-07
  3.0763E-04  1.4700E-03  1.3722E-02  4.0894E-05  2.5181E-05  8.1463E-06  1.4300E-03  1.3675E-02  1.2016E-07
  2.8752E-04  1.4012E-03  1.3151E-02  3.9093E-05  2.4081E-05  7.8237E-06  1.3630E-03  1.3107E-02  1.1338E-07
  2.6930E-04  1.3367E-03  1.2612E-02  3.7396E-05  2.3043E-05  7.5169E-06  1.3001E-03  1.2570E-02  1.0709E-07
  2.5306E-04  1.2776E-03  1.2117E-02  3.5839E-05  2.2091E-05  7.2334E-06  1.2426E-03  1.2076E-02  1.0139E-07
  2.3883E-04  1.2242E-03  1.1666E-02  3.4426E-05  2.1225E-05  6.9741E-06  1.1906E-03  1.1627E-02  9.6289E-08
  2.2531E-04  1.1723E-03  1.1225E-02  3.3047E-05  2.0381E-05  6.7196E-06  1.1400E-03  1.1188E-02  9.1371E-08
  1.0947E-01  2.9694E-02  2.0159E-01  2.1103E-06  0.0000E+00  0.0000E+00  2.9724E-02  2.0142E-01  3.8421E-06
  8.5492E-02  2.5915E-02  1.7961E-01  1.0562E-04  0.0000E+00  0.0000E+00  2.5836E-02  1.7936E-01  3.2060E-06
  7.0807E-02  2.3388E-02  1.6462E-01  1.5704E-04  0.0000E+00  0.0000E+00  2.3254E-02  1.6433E-01  2.7997E-06
  5.4681E-02  2.0354E-02  1.4628E-01  2.0028E-04  0.0000E+00  0.0000E+00  2.0173E-02  1.4597E-01  2.3332E-06
  5.4681E-02  2.0354E-02  1.4628E-01  2.0028E-04  1.2009E-10  0.0000E+00  2.0173E-02  1.4597E-01  2.3332E-06
  4.3723E-02  1.8121E-02  1.3249E-01  2.1902E-04  4.1880E-05  0.0000E+00  1.7919E-02  1.3218E-01  2.0055E-06
  3.5342E-02  1.6234E-02  1.2063E-01  2.2648E-04  6.7030E-05  0.0000E+00  1.6022E-02  1.2032E-01  1.7392E-06
  2.9474E-02  1.4786E-02  1.1138E-01  2.2709E-04  8.1253E-05  0.0000E+00  1.4572E-02  1.1108E-01  1.5419E-06
  2.4809E-02  1.3536E-02  1.0327E-01  2.2412E-04  9.0065E-05  0.0000E+00  1.3323E-02  1.0299E-01  1.3764E-06
  2.0707E-02  1.2340E-02  9.5414E-02  2.1828E-04  9.5535E-05  0.0000E+00  1.2132E-02  9.5138E-02  1.2228E-06
  1.7724E-02  1.1399E-02  8.9138E-02  2.1169E-04  9.7871E-05  0.0000E+00  1.1196E-02  8.8874E-02  1.1051E-06
  1.5286E-02  1.0569E-02  8.3540E-02  2.0439E-04  9.8468E-05  0.0000E+00  1.0373E-02  8.3288E-02  1.0038E-06
  1.3607E-02  9.9604E-03  7.9391E-02  1.9820E-04  9.8081E-05  0.0000E+00  9.7699E-03  7.9148E-02  9.3106E-07
  9.3613E-03  8.2340E-03  6.7394E-02  1.7679E-04  9.3229E-05  0.0000E+00  8.0633E-03  6.7182E-02  7.3198E-07
  9.3613E-03  8.2340E-03  6.7394E-02  1.7679E-04  9.3229E-05  7.9667E-13  8.0633E-03  6.7182E-02  7.3198E-07
  8.6420E-03  7.9127E-03  6.5120E-02  1.7216E-04  9.1705E-05  2.3410E-06  7.7463E-03  6.4914E-02  6.9623E-07
  6.8469E-03  7.0455E-03  5.8911E-02  1.5876E-04  8.6692E-05  6.8933E-06  6.8916E-03  5.8723E-02  6.0176E-07
  5.4025E-03  6.2570E-03  5.3165E-02  1.4537E-04  8.0973E-05  9.9096E-06  6.1159E-03  5.2994E-02  5.1868E-07
  4.3786E-03  5.6283E-03  4.8505E-02  1.3389E-04  7.5644E-05  1.1559E-05  5.4981E-03  4.8349E-02  4.5447E-07
  3.5584E-03  5.0661E-03  4.4272E-02  1.2304E-04  7.0318E-05  1.2485E-05  4.9463E-03  4.4130E-02  3.9868E-07
  3.0061E-03  4.6478E-03  4.1079E-02  1.1461E-04  6.6021E-05  1.2848E-05  4.5361E-03  4.0947E-02  3.5822E-07
  2.4625E-03  4.1931E-03  3.7559E-02  1.0510E-04  6.1029E-05  1.2931E-05  4.0906E-03  3.7438E-02  3.1534E-07
  2.0722E-03  3.8326E-03  3.4729E-02  9.7316E-05  5.6842E-05  1.2776E-05  3.7376E-03  3.4617E-02  2.8217E-07
  1.7747E-03  3.5326E-03  3.2345E-02  9.0673E-05  5.3206E-05  1.2502E-05  3.4440E-03  3.2241E-02  2.5517E-07
  1.4656E-03  3.1901E-03  2.9587E-02  8.2903E-05  4.8886E-05  1.2029E-05  3.1090E-03  2.9493E-02  2.2506E-07
  1.2301E-03  2.9019E-03  2.7235E-02  7.6216E-05  4.5117E-05  1.1504E-05  2.8273E-03  2.7149E-02  2.0035E-07
  1.0485E-03  2.6584E-03  2.5222E-02  7.0459E-05  4.1837E-05  1.0971E-05  2.5894E-03  2.5143E-02  1.7993E-07
  8.9753E-04  2.4379E-03  2.3377E-02  6.5160E-05  3.8792E-05  1.0419E-05  2.3740E-03  2.3304E-02  1.6183E-07
  7.7380E-04  2.2417E-03  2.1717E-02  6.0378E-05  3.6025E-05  9.8746E-06  2.1825E-03  2.1649E-02  1.4605E-07
  6.7529E-04  2.0725E-03  2.0269E-02  5.6202E-05  3.3594E-05  9.3641E-06  2.0174E-03  2.0206E-02  1.3272E-07
  5.9552E-04  1.9258E-03  1.9001E-02  5.2542E-05  3.1453E-05  8.8925E-06  1.8742E-03  1.8943E-02  1.2136E-07
  5.2687E-04  1.7904E-03  1.7819E-02  4.9130E-05  2.9449E-05  8.4320E-06  1.7422E-03  1.7764E-02  1.1105E-07
  4.6832E-04  1.6673E-03  1.6734E-02  4.6003E-05  2.7606E-05  7.9942E-06  1.6221E-03  1.6683E-02  1.0184E-07
  4.1980E-04  1.5590E-03  1.5771E-02  4.3227E-05  2.5965E-05  7.5933E-06  1.5165E-03  1.5723E-02  9.3864E-08
  3.7946E-04  1.4637E-03  1.4916E-02  4.0768E-05  2.4508E-05  7.2287E-06  1.4236E-03  1.4871E-02  8.6950E-08
  3.4350E-04  1.3740E-03  1.4105E-02  3.8441E-05  2.3127E-05  6.8757E-06  1.3362E-03  1.4063E-02  8.0541E-08
  3.1206E-04  1.2915E-03  1.3353E-02  3.6285E-05  2.1844E-05  6.5422E-06  1.2558E-03  1.3313E-02  7.4725E-08
  2.8535E-04  1.2180E-03  1.2677E-02  3.4351E-05  2.0692E-05  6.2378E-06  1.1842E-03  1.2639E-02  6.9610E-08
  2.6259E-04  1.1524E-03  1.2071E-02  3.2620E-05  1.9659E-05  5.9611E-06  1.1203E-03  1.2035E-02  6.5109E-08
  2.4180E-04  1.0899E-03  1.1489E-02  3.0963E-05  1.8669E-05  5.6930E-06  1.0595E-03  1.1455E-02  6.0875E-08
  2.2319E-04  1.0317E-03  1.0943E-02  2.9411E-05  1.7741E-05  5.4389E-06  1.0028E-03  1.0910E-02  5.6975E-08
  2.0708E-04  9.7933E-04  1.0448E-02  2.8009E-05  1.6902E-05  5.2066E-06  9.5174E-04  1.0417E-02  5.3507E-08
  1.9310E-04  9.3217E-04  9.9994E-03  2.6741E-05  1.6142E-05  4.9949E-06  9.0582E-04  9.9700E-03  5.0421E-08
  1.8006E-04  8.8678E-04  9.5653E-03  2.5517E-05  1.5409E-05  4.7887E-06  8.6163E-04  9.5374E-03  4.7480E-08
  1.6828E-04  8.4428E-04  9.1564E-03  2.4367E-05  1.4718E-05  4.5933E-06  8.2026E-04  9.1297E-03  4.4759E-08
  1.5782E-04  8.0547E-04  8.7808E-03  2.3313E-05  1.4086E-05  4.4131E-06  7.8249E-04  8.7553E-03  4.2298E-08
  1.4867E-04  7.7044E-04  8.4398E-03  2.2358E-05  1.3513E-05  4.2489E-06  7.4839E-04  8.4154E-03  4.0100E-08
  1.4001E-04  7.3642E-04  8.1070E-03  2.1429E-05  1.2955E-05  4.0882E-06  7.1528E-04  8.0836E-03  3.7984E-08
  9.1007E-02  2.1230E-02  1.6652E-01  9.5468E-07  0.0000E+00  0.0000E+00  2.1244E-02  1.6643E-01  1.7725E-06
  7.0055E-02  1.8402E-02  1.4736E-01  7.9216E-05  0.0000E+00  0.0000E+00  1.8335E-02  1.4721E-01  1.4693E-06
  5.7398E-02  1.6521E-02  1.3438E-01  1.1725E-04  0.0000E+00  0.0000E+00  1.6415E-02  1.3420E-01  1.2768E-06
  4.3686E-02  1.4279E-02  1.1861E-01  1.4830E-04  0.0000E+00  0.0000E+00  1.4139E-02  1.1840E-01  1.0571E-06
  4.3686E-02  1.4279E-02  1.1860E-01  1.4830E-04  8.7873E-11  0.0000E+00  1.4139E-02  1.1840E-01  1.0571E-06
  3.4514E-02  1.2640E-02  1.0683E-01  1.6101E-04  3.0455E-05  0.0000E+00  1.2486E-02  1.0663E-01  9.0376E-07
  2.7585E-02  1.1262E-02  9.6760E-02  1.6535E-04  4.8368E-05  0.0000E+00  1.1103E-02  9.6555E-02  7.7978E-07
  2.2786E-02  1.0211E-02  8.8950E-02  1.6485E-04  5.8259E-05  0.0000E+00  1.0052E-02  8.8750E-02  6.8834E-07
  1.9008E-02  9.3077E-03  8.2138E-02  1.6182E-04  6.4198E-05  0.0000E+00  9.1509E-03  8.1945E-02  6.1202E-07
  1.5717E-02  8.4480E-03  7.5563E-02  1.5674E-04  6.7687E-05  0.0000E+00  8.2957E-03  7.5378E-02  5.4146E-07
  1.3345E-02  7.7737E-03  7.0336E-02  1.5130E-04  6.8990E-05  0.0000E+00  7.6264E-03  7.0160E-02  4.8756E-07
  1.1422E-02  7.1821E-03  6.5692E-02  1.4545E-04  6.9083E-05  0.0000E+00  7.0402E-03  6.5524E-02  4.4140E-07
  1.0107E-02  6.7495E-03  6.2261E-02  1.4057E-04  6.8559E-05  0.0000E+00  6.6123E-03  6.2100E-02  4.0833E-07
  6.8220E-03  5.5299E-03  5.2402E-02  1.2407E-04  6.4427E-05  0.0000E+00  5.4084E-03  5.2262E-02  3.1834E-07
  6.8220E-03  5.5299E-03  5.2402E-02  1.2407E-04  6.4427E-05  5.3176E-13  5.4084E-03  5.2262E-02  3.1834E-07
  6.2730E-03  5.3043E-03  5.0544E-02  1.2057E-04  6.3226E-05  1.5612E-06  5.1861E-03  5.0408E-02  3.0226E-07
  4.9130E-03  4.6975E-03  4.5490E-02  1.1050E-04  5.9373E-05  4.5613E-06  4.5891E-03  4.5366E-02  2.5993E-07
  3.8315E-03  4.1491E-03  4.0839E-02  1.0056E-04  5.5091E-05  6.5057E-06  4.0503E-03  4.0727E-02  2.2290E-07
  3.0733E-03  3.7141E-03  3.7087E-02  9.2130E-05  5.1169E-05  7.5365E-06  3.6235E-03  3.6985E-02  1.9442E-07
  2.4722E-03  3.3272E-03  3.3696E-02  8.4223E-05  4.7302E-05  8.0866E-06  3.2443E-03  3.3603E-02  1.6979E-07
  2.0712E-03  3.0406E-03  3.1149E-02  7.8126E-05  4.4213E-05  8.2779E-06  2.9637E-03  3.1063E-02  1.5200E-07
  1.6801E-03  2.7305E-03  2.8355E-02  7.1295E-05  4.0657E-05  8.2800E-06  2.6602E-03  2.8276E-02  1.3322E-07
  1.4019E-03  2.4857E-03  2.6117E-02  6.5738E-05  3.7698E-05  8.1381E-06  2.4209E-03  2.6045E-02  1.1876E-07
  1.1916E-03  2.2829E-03  2.4240E-02  6.1021E-05  3.5146E-05  7.9266E-06  2.2227E-03  2.4174E-02  1.0703E-07
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  8.1149E-04  1.8591E-03  2.0242E-02  5.0840E-05  2.9525E-05  7.2148E-06  1.8089E-03  2.0187E-02  8.3352E-08
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  5.0256E-05  2.1830E-04  3.7831E-03  7.3505E-06  4.1593E-06  1.1145E-06  2.1096E-04  3.7756E-03  2.9844E-09
  4.6022E-05  2.0515E-04  3.5779E-03  6.9388E-06  3.9294E-06  1.0612E-06  1.9822E-04  3.5708E-03  2.7739E-09
  4.2408E-05  1.9340E-04  3.3933E-03  6.5696E-06  3.7232E-06  1.0132E-06  1.8684E-04  3.3865E-03  2.5881E-09
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  3.6448E-05  1.7285E-04  3.0675E-03  5.9209E-06  3.3609E-06  9.2849E-07  1.6694E-04  3.0614E-03  2.2681E-09
  3.3897E-05  1.6352E-04  2.9180E-03  5.6247E-06  3.1956E-06  8.8966E-07  1.5790E-04  2.9122E-03  2.1251E-09
  3.1655E-05  1.5504E-04  2.7815E-03  5.3552E-06  3.0452E-06  8.5428E-07  1.4969E-04  2.7761E-03  1.9965E-09
  2.9715E-05  1.4745E-04  2.6585E-03  5.1128E-06  2.9100E-06  8.2247E-07  1.4234E-04  2.6532E-03  1.8823E-09
  2.7895E-05  1.4011E-04  2.5390E-03  4.8783E-06  2.7792E-06  7.9170E-07  1.3524E-04  2.5340E-03  1.7730E-09
  4.6624E-02  5.9847E-03  8.0487E-02  5.3611E-08  0.0000E+00  0.0000E+00  5.9850E-03  8.0480E-02  1.0393E-07
  3.4173E-02  5.0721E-03  6.9611E-02  2.8675E-05  0.0000E+00  0.0000E+00  5.0438E-03  6.9577E-02  8.4245E-08
  2.6992E-02  4.4774E-03  6.2404E-02  4.1537E-05  0.0000E+00  0.0000E+00  4.4361E-03  6.2357E-02  7.1994E-08
  1.9553E-02  3.7821E-03  5.3832E-02  5.0931E-05  0.0000E+00  0.0000E+00  3.7314E-03  5.3777E-02  5.8281E-08
  1.9553E-02  3.7821E-03  5.3832E-02  5.0931E-05  2.8823E-11  0.0000E+00  3.7314E-03  5.3777E-02  5.8281E-08
  1.4830E-02  3.2849E-03  4.7582E-02  5.3876E-05  9.7795E-06  0.0000E+00  3.2312E-03  4.7525E-02  4.8912E-08
  1.1405E-02  2.8749E-03  4.2341E-02  5.4015E-05  1.5127E-05  0.0000E+00  2.8210E-03  4.2285E-02  4.1475E-08
  9.1186E-03  2.5674E-03  3.8348E-02  5.2787E-05  1.7827E-05  0.0000E+00  2.5147E-03  3.8293E-02  3.6078E-08
  7.3763E-03  2.3070E-03  3.4920E-02  5.0868E-05  1.9253E-05  0.0000E+00  2.2563E-03  3.4867E-02  3.1640E-08
  5.9066E-03  2.0630E-03  3.1662E-02  4.8348E-05  1.9885E-05  0.0000E+00  2.0148E-03  3.1612E-02  2.7594E-08
  4.8787E-03  1.8744E-03  2.9109E-02  4.5933E-05  1.9920E-05  0.0000E+00  1.8285E-03  2.9061E-02  2.4546E-08
  4.0682E-03  1.7110E-03  2.6870E-02  4.3506E-05  1.9627E-05  0.0000E+00  1.6675E-03  2.6825E-02  2.1967E-08
  3.5271E-03  1.5928E-03  2.5235E-02  4.1565E-05  1.9236E-05  0.0000E+00  1.5513E-03  2.5192E-02  2.0138E-08
  2.2294E-03  1.2664E-03  2.0628E-02  3.5397E-05  1.7389E-05  0.0000E+00  1.2310E-03  2.0592E-02  1.5254E-08
  2.2294E-03  1.2664E-03  2.0628E-02  3.5397E-05  1.7389E-05  1.2734E-13  1.2310E-03  2.0592E-02  1.5254E-08
  2.0224E-03  1.2072E-03  1.9777E-02  3.4149E-05  1.6931E-05  3.7270E-07  1.1730E-03  1.9742E-02  1.4398E-08
  1.5221E-03  1.0499E-03  1.7490E-02  3.0651E-05  1.5545E-05  1.0602E-06  1.0192E-03  1.7458E-02  1.2168E-08
  1.1399E-03  9.1038E-04  1.5424E-02  2.7322E-05  1.4105E-05  1.4720E-06  8.8308E-04  1.5396E-02  1.0253E-08
  8.8203E-04  8.0175E-04  1.3788E-02  2.4583E-05  1.2850E-05  1.6660E-06  7.7719E-04  1.3763E-02  8.8042E-09
  6.8472E-04  7.0674E-04  1.2333E-02  2.2083E-05  1.1658E-05  1.7481E-06  6.8467E-04  1.2311E-02  7.5710E-09
  5.5730E-04  6.3743E-04  1.1257E-02  2.0198E-05  1.0734E-05  1.7580E-06  6.1725E-04  1.1236E-02  6.6931E-09
  4.3690E-04  5.6357E-04  1.0093E-02  1.8131E-05  9.6995E-06  1.7227E-06  5.4545E-04  1.0075E-02  5.7795E-09
  3.5395E-04  5.0614E-04  9.1756E-03  1.6483E-05  8.8603E-06  1.6642E-06  4.8966E-04  9.1588E-03  5.0856E-09
  2.9299E-04  4.5917E-04  8.4157E-03  1.5109E-05  8.1516E-06  1.5967E-06  4.4407E-04  8.4003E-03  4.5299E-09
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  1.8755E-04  3.6314E-04  6.8307E-03  1.2222E-05  6.6398E-06  1.4047E-06  3.5092E-04  6.8183E-03  3.4299E-09
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  9.0830E-05  2.4325E-04  4.7777E-03  8.4676E-06  4.6367E-06  1.0704E-06  2.3479E-04  4.7691E-03  2.1371E-09
  7.8125E-05  2.2292E-04  4.4190E-03  7.8135E-06  4.2843E-06  1.0042E-06  2.1511E-04  4.4111E-03  1.9283E-09
  6.7517E-05  2.0444E-04  4.0894E-03  7.2137E-06  3.9606E-06  9.4164E-07  1.9722E-04  4.0821E-03  1.7417E-09
  5.8714E-05  1.8787E-04  3.7912E-03  6.6724E-06  3.6680E-06  8.8391E-07  1.8119E-04  3.7844E-03  1.5770E-09
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  4.5853E-05  1.6097E-04  3.3005E-03  5.7855E-06  3.1879E-06  7.8699E-07  1.5518E-04  3.2946E-03  1.3154E-09
  4.0839E-05  1.4935E-04  3.0858E-03  5.3993E-06  2.9786E-06  7.4398E-07  1.4395E-04  3.0803E-03  1.2048E-09
  3.6559E-05  1.3879E-04  2.8889E-03  5.0463E-06  2.7873E-06  7.0435E-07  1.3374E-04  2.8838E-03  1.1056E-09
  3.3003E-05  1.2948E-04  2.7140E-03  4.7338E-06  2.6178E-06  6.6904E-07  1.2475E-04  2.7092E-03  1.0193E-09
  3.0036E-05  1.2127E-04  2.5587E-03  4.4572E-06  2.4679E-06  6.3769E-07  1.1682E-04  2.5541E-03  9.4417E-10
  2.7378E-05  1.1354E-04  2.4112E-03  4.1956E-06  2.3262E-06  6.0797E-07  1.0935E-04  2.4070E-03  8.7415E-10
  2.5045E-05  1.0641E-04  2.2743E-03  3.9533E-06  2.1950E-06  5.8045E-07  1.0245E-04  2.2702E-03  8.1029E-10
  2.3066E-05  1.0005E-04  2.1514E-03  3.7368E-06  2.0778E-06  5.5585E-07  9.6313E-05  2.1476E-03  7.5405E-10
  2.1378E-05  9.4385E-05  2.0411E-03  3.5433E-06  1.9731E-06  5.3390E-07  9.0842E-05  2.0375E-03  7.0446E-10
  1.9831E-05  8.8981E-05  1.9353E-03  3.3582E-06  1.8730E-06  5.1295E-07  8.5622E-05  1.9319E-03  6.5760E-10
  1.8459E-05  8.3973E-05  1.8366E-03  3.1862E-06  1.7801E-06  4.9355E-07  8.0786E-05  1.8333E-03  6.1466E-10
  1.7260E-05  7.9436E-05  1.7467E-03  3.0301E-06  1.6958E-06  4.7604E-07  7.6406E-05  1.7436E-03  5.7610E-10
  1.6229E-05  7.5380E-05  1.6658E-03  2.8902E-06  1.6204E-06  4.6047E-07  7.2490E-05  1.6628E-03  5.4198E-10
  1.5267E-05  7.1472E-05  1.5874E-03  2.7551E-06  1.5477E-06  4.4554E-07  6.8716E-05  1.5846E-03  5.0938E-10
  3.5390E-02  3.4942E-03  5.8920E-02  1.6760E-08  0.0000E+00  0.0000E+00  3.4942E-03  5.8918E-02  3.2779E-08
  2.5451E-02  2.9372E-03  5.0509E-02  1.8985E-05  0.0000E+00  0.0000E+00  2.9182E-03  5.0488E-02  2.6357E-08
  1.9818E-02  2.5767E-03  4.4981E-02  2.7243E-05  0.0000E+00  0.0000E+00  2.5494E-03  4.4952E-02  2.2389E-08
  1.4083E-02  2.1582E-03  3.8461E-02  3.2986E-05  0.0000E+00  0.0000E+00  2.1252E-03  3.8426E-02  1.7979E-08
  1.4083E-02  2.1582E-03  3.8461E-02  3.2986E-05  1.8322E-11  0.0000E+00  2.1252E-03  3.8426E-02  1.7979E-08
  1.0513E-02  1.8612E-03  3.3748E-02  3.4538E-05  6.1654E-06  0.0000E+00  1.8267E-03  3.3713E-02  1.4988E-08
  7.9650E-03  1.6181E-03  2.9826E-02  3.4304E-05  9.4394E-06  0.0000E+00  1.5838E-03  2.9791E-02  1.2630E-08
  6.2880E-03  1.4368E-03  2.6858E-02  3.3265E-05  1.1031E-05  0.0000E+00  1.4035E-03  2.6824E-02  1.0929E-08
  5.0261E-03  1.2842E-03  2.4325E-02  3.1827E-05  1.1821E-05  0.0000E+00  1.2524E-03  2.4293E-02  9.5375E-09
  3.9747E-03  1.1420E-03  2.1931E-02  3.0031E-05  1.2112E-05  0.0000E+00  1.1120E-03  2.1901E-02  8.2754E-09
  3.2480E-03  1.0326E-03  2.0066E-02  2.8356E-05  1.2053E-05  0.0000E+00  1.0042E-03  2.0037E-02  7.3289E-09
  2.6811E-03  9.3833E-04  1.8439E-02  2.6705E-05  1.1802E-05  0.0000E+00  9.1161E-04  1.8412E-02  6.5318E-09
  2.3060E-03  8.7045E-04  1.7255E-02  2.5402E-05  1.1513E-05  0.0000E+00  8.4504E-04  1.7230E-02  5.9686E-09
  1.4208E-03  6.8424E-04  1.3947E-02  2.1339E-05  1.0254E-05  0.0000E+00  6.6289E-04  1.3925E-02  4.4747E-09
  1.4208E-03  6.8424E-04  1.3947E-02  2.1339E-05  1.0254E-05  7.1688E-14  6.6289E-04  1.3925E-02  4.4747E-09
  1.2821E-03  6.5073E-04  1.3340E-02  2.0529E-05  9.9543E-06  2.0958E-07  6.3019E-04  1.3320E-02  4.2146E-09
  9.5009E-04  5.6208E-04  1.1717E-02  1.8281E-05  9.0619E-06  5.9014E-07  5.4379E-04  1.1699E-02  3.5400E-09
  7.0034E-04  4.8403E-04  1.0262E-02  1.6168E-05  8.1536E-06  8.1117E-07  4.6785E-04  1.0246E-02  2.9639E-09
  5.3435E-04  4.2366E-04  9.1175E-03  1.4448E-05  7.3743E-06  9.1026E-07  4.0920E-04  9.1028E-03  2.5310E-09
  4.0909E-04  3.7118E-04  8.1064E-03  1.2894E-05  6.6437E-06  9.4745E-07  3.5829E-04  8.0933E-03  2.1646E-09
  3.2921E-04  3.3313E-04  7.3625E-03  1.1731E-05  6.0836E-06  9.4692E-07  3.2139E-04  7.3506E-03  1.9050E-09
  2.5467E-04  2.9280E-04  6.5629E-03  1.0466E-05  5.4622E-06  9.2156E-07  2.8233E-04  6.5523E-03  1.6362E-09
  2.0395E-04  2.6162E-04  5.9359E-03  9.4653E-06  4.9628E-06  8.8535E-07  2.5215E-04  5.9263E-03  1.4331E-09
  1.6709E-04  2.3625E-04  5.4193E-03  8.6360E-06  4.5443E-06  8.4552E-07  2.2761E-04  5.4106E-03  1.2712E-09
  1.3071E-04  2.0798E-04  4.8358E-03  7.6955E-06  4.0651E-06  7.9035E-07  2.0028E-04  4.8280E-03  1.0946E-09
  1.0444E-04  1.8479E-04  4.3504E-03  6.9112E-06  3.6622E-06  7.3718E-07  1.7787E-04  4.3435E-03  9.5294E-10
  8.5168E-05  1.6565E-04  3.9447E-03  6.2553E-06  3.3231E-06  6.8812E-07  1.5940E-04  3.9384E-03  8.3850E-10
  6.9882E-05  1.4871E-04  3.5809E-03  5.6672E-06  3.0178E-06  6.4093E-07  1.4304E-04  3.5751E-03  7.3908E-10
  5.7917E-05  1.3395E-04  3.2604E-03  5.1498E-06  2.7482E-06  5.9715E-07  1.2880E-04  3.2552E-03  6.5416E-10
  4.8805E-05  1.2150E-04  2.9867E-03  4.7091E-06  2.5180E-06  5.5833E-07  1.1679E-04  2.9820E-03  5.8380E-10
  4.1708E-05  1.1090E-04  2.7513E-03  4.3309E-06  2.3201E-06  5.2412E-07  1.0657E-04  2.7470E-03  5.2484E-10
  3.5842E-05  1.0130E-04  2.5360E-03  3.9861E-06  2.1395E-06  4.9228E-07  9.7314E-05  2.5320E-03  4.7234E-10
  3.1019E-05  9.2734E-05  2.3420E-03  3.6763E-06  1.9772E-06  4.6327E-07  8.9056E-05  2.3382E-03  4.2618E-10
  2.7163E-05  8.5319E-05  2.1724E-03  3.4067E-06  1.8358E-06  4.3778E-07  8.1910E-05  2.1690E-03  3.8681E-10
  2.4065E-05  7.8903E-05  2.0245E-03  3.1722E-06  1.7129E-06  4.1547E-07  7.5729E-05  2.0213E-03  3.5321E-10
  2.1392E-05  7.2964E-05  1.8863E-03  2.9542E-06  1.5986E-06  3.9467E-07  7.0008E-05  1.8833E-03  3.2253E-10
  1.9131E-05  6.7582E-05  1.7601E-03  2.7558E-06  1.4947E-06  3.7578E-07  6.4824E-05  1.7573E-03  2.9508E-10
  1.7269E-05  6.2854E-05  1.6483E-03  2.5809E-06  1.4032E-06  3.5919E-07  6.0272E-05  1.6457E-03  2.7127E-10
  1.5727E-05  5.8700E-05  1.5494E-03  2.4267E-06  1.3227E-06  3.4469E-07  5.6272E-05  1.5469E-03  2.5059E-10
  1.4357E-05  5.4798E-05  1.4557E-03  2.2815E-06  1.2469E-06  3.3116E-07  5.2515E-05  1.4534E-03  2.3139E-10
  1.3164E-05  5.1208E-05  1.3690E-03  2.1476E-06  1.1771E-06  3.1884E-07  4.9059E-05  1.3669E-03  2.1391E-10
  1.2162E-05  4.8020E-05  1.2914E-03  2.0284E-06  1.1152E-06  3.0802E-07  4.5991E-05  1.2894E-03  1.9857E-10
  1.1311E-05  4.5187E-05  1.2221E-03  1.9223E-06  1.0601E-06  2.9853E-07  4.3264E-05  1.2201E-03  1.8507E-10
  1.0529E-05  4.2491E-05  1.1556E-03  1.8212E-06  1.0077E-06  2.8963E-07  4.0669E-05  1.1538E-03  1.7235E-10
  9.8394E-06  4.0001E-05  1.0938E-03  1.7276E-06  9.5928E-07  2.8157E-07  3.8272E-05  1.0921E-03  1.6071E-10
  9.2629E-06  3.7750E-05  1.0377E-03  1.6429E-06  9.1563E-07  2.7444E-07  3.6106E-05  1.0360E-03  1.5029E-10
  8.7531E-06  3.5743E-05  9.8731E-04  1.5674E-06  8.7680E-07  2.6828E-07  3.4175E-05  9.8573E-04  1.4110E-10
  8.2918E-06  3.3814E-05  9.3861E-04  1.4948E-06  8.3956E-07  2.6251E-07  3.2319E-05  9.3711E-04  1.3232E-10
  2.5869E-02  1.8754E-03  4.1068E-02  4.3381E-09  0.0000E+00  0.0000E+00  1.8754E-03  4.1067E-02  8.5484E-09
  1.8216E-02  1.5626E-03  3.4861E-02  1.1899E-05  0.0000E+00  0.0000E+00  1.5506E-03  3.4849E-02  6.8089E-09
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  1.4900E-04  4.4079E-05  2.2865E-03  2.3879E-06  1.0860E-06  5.9539E-08  4.1690E-05  2.2841E-03  2.2550E-11
  1.0340E-04  3.6980E-05  1.9505E-03  2.0540E-06  9.4999E-07  7.9755E-08  3.4926E-05  1.9485E-03  1.8419E-11
  7.4789E-05  3.1627E-05  1.6929E-03  1.7927E-06  8.3954E-07  8.7980E-08  2.9834E-05  1.6911E-03  1.5387E-11
  5.4330E-05  2.7084E-05  1.4708E-03  1.5648E-06  7.4081E-07  9.0746E-08  2.5519E-05  1.4693E-03  1.2877E-11
  4.1912E-05  2.3860E-05  1.3109E-03  1.3996E-06  6.6819E-07  9.0692E-08  2.2460E-05  1.3095E-03  1.1134E-11
  3.0878E-05  2.0515E-05  1.1427E-03  1.2253E-06  5.9077E-07  8.9112E-08  1.9289E-05  1.1415E-03  9.3645E-12
  2.3738E-05  1.7984E-05  1.0136E-03  1.0915E-06  5.3094E-07  8.7116E-08  1.6892E-05  1.0125E-03  8.0537E-12
  1.8780E-05  1.5963E-05  9.0929E-04  9.8351E-07  4.8249E-07  8.5170E-08  1.4979E-05  9.0831E-04  7.0266E-12
  1.4126E-05  1.3758E-05  7.9383E-04  8.6458E-07  4.2912E-07  8.2982E-08  1.2893E-05  7.9297E-04  5.9275E-12
  1.0947E-05  1.1988E-05  6.9985E-04  7.6859E-07  3.8623E-07  8.1528E-08  1.1219E-05  6.9908E-04  5.0634E-12
  8.7403E-06  1.0557E-05  6.2286E-04  6.9073E-07  3.5168E-07  8.0764E-08  9.8662E-06  6.2217E-04  4.3781E-12
  7.0863E-06  9.3140E-06  5.5512E-04  6.2297E-07  3.2188E-07  8.0565E-08  8.6909E-06  5.5449E-04  3.7931E-12
  5.8752E-06  8.2522E-06  4.9654E-04  5.6510E-07  2.9669E-07  8.0883E-08  7.6870E-06  4.9597E-04  3.3018E-12
  5.0326E-06  7.3726E-06  4.4742E-04  5.1728E-07  2.7617E-07  8.1683E-08  6.8552E-06  4.4690E-04  2.9015E-12
  4.4438E-06  6.6360E-06  4.0585E-04  4.7746E-07  2.5939E-07  8.2891E-08  6.1584E-06  4.0537E-04  2.5710E-12
  4.2479E-06  5.9805E-06  3.6843E-04  4.4235E-07  2.4493E-07  8.4589E-08  5.5381E-06  3.6799E-04  2.2811E-12
  4.2421E-06  5.4046E-06  3.3522E-04  4.1181E-07  2.3266E-07  8.6632E-08  4.9927E-06  3.3481E-04  2.0297E-12
  4.2336E-06  4.9139E-06  3.0664E-04  3.8606E-07  2.2261E-07  8.8871E-08  4.5278E-06  3.0625E-04  1.8182E-12
  4.2301E-06  4.4956E-06  2.8204E-04  3.6438E-07  2.1438E-07  9.1211E-08  4.1312E-06  2.8167E-04  1.6400E-12
  4.2302E-06  4.1139E-06  2.5938E-04  3.4483E-07  2.0721E-07  9.3752E-08  3.7690E-06  2.5903E-04  1.4793E-12
  4.2302E-06  3.7730E-06  2.3895E-04  3.2771E-07  2.0120E-07  9.6502E-08  3.4453E-06  2.3862E-04  1.3373E-12
  4.2302E-06  3.4778E-06  2.2109E-04  3.1318E-07  1.9637E-07  9.9318E-08  3.1645E-06  2.2078E-04  1.2156E-12
  4.2302E-06  3.2219E-06  2.0548E-04  3.0094E-07  1.9259E-07  1.0222E-07  2.9209E-06  2.0517E-04  1.1110E-12
  4.2302E-06  2.9846E-06  1.9087E-04  2.8990E-07  1.8945E-07  1.0532E-07  2.6947E-06  1.9058E-04  1.0150E-12
  4.2302E-06  2.7692E-06  1.7749E-04  2.8018E-07  1.8695E-07  1.0854E-07  2.4889E-06  1.7721E-04  9.2848E-13
  4.2302E-06  2.5804E-06  1.6567E-04  2.7196E-07  1.8509E-07  1.1174E-07  2.3084E-06  1.6540E-04  8.5333E-13
  4.2302E-06  2.4146E-06  1.5520E-04  2.6499E-07  1.8374E-07  1.1486E-07  2.1496E-06  1.5494E-04  7.8788E-13
  4.2302E-06  2.2588E-06  1.4529E-04  2.5866E-07  1.8273E-07  1.1810E-07  2.0001E-06  1.4503E-04  7.2674E-13
  4.2302E-06  2.1166E-06  1.3616E-04  2.5318E-07  1.8214E-07  1.2141E-07  1.8634E-06  1.3591E-04  6.7142E-13
  4.2302E-06  1.9896E-06  1.2795E-04  2.4856E-07  1.8190E-07  1.2469E-07  1.7411E-06  1.2770E-04  6.2227E-13
  4.2302E-06  1.8780E-06  1.2065E-04  2.4484E-07  1.8207E-07  1.2799E-07  1.6331E-06  1.2041E-04  5.7932E-13
  4.2302E-06  1.7718E-06  1.1367E-04  2.4158E-07  1.8254E-07  1.3145E-07  1.5302E-06  1.1342E-04  5.3866E-13
  6.9036E-03  1.2761E-04  8.5116E-03  1.5876E-11  0.0000E+00  0.0000E+00  1.2761E-04  8.5116E-03  3.1659E-11
  4.4690E-03  1.0320E-04  6.9507E-03  1.6886E-06  0.0000E+00  0.0000E+00  1.0151E-04  6.9490E-03  2.4362E-11
  3.2162E-03  8.7810E-05  5.9699E-03  2.2964E-06  0.0000E+00  0.0000E+00  8.5512E-05  5.9676E-03  2.0028E-11
  2.0546E-03  7.0482E-05  4.8624E-03  2.5923E-06  0.0000E+00  0.0000E+00  6.7888E-05  4.8598E-03  1.5390E-11
  2.0546E-03  7.0482E-05  4.8624E-03  2.5923E-06  1.2953E-12  0.0000E+00  6.7888E-05  4.8598E-03  1.5390E-11
  1.4049E-03  5.8618E-05  4.0990E-03  2.5653E-06  4.1650E-07  0.0000E+00  5.6052E-05  4.0964E-03  1.2374E-11
  9.7970E-04  4.9218E-05  3.4889E-03  2.4204E-06  6.0270E-07  0.0000E+00  4.6797E-05  3.4865E-03  1.0078E-11
  7.2101E-04  4.2424E-05  3.0436E-03  2.2502E-06  6.7261E-07  0.0000E+00  4.0173E-05  3.0414E-03  8.4745E-12
  5.3937E-04  3.6863E-05  2.6756E-03  2.0715E-06  6.9113E-07  0.0000E+00  3.4791E-05  2.6736E-03  7.1987E-12
  3.9806E-04  3.1825E-05  2.3388E-03  1.8797E-06  6.7888E-07  0.0000E+00  2.9945E-05  2.3369E-03  6.0736E-12
  3.0650E-04  2.8054E-05  2.0839E-03  1.7181E-06  6.5243E-07  0.0000E+00  2.6335E-05  2.0822E-03  5.2516E-12
  2.3922E-04  2.4885E-05  1.8677E-03  1.5703E-06  6.1877E-07  0.0000E+00  2.3315E-05  1.8661E-03  4.5759E-12
  1.9688E-04  2.2652E-05  1.7139E-03  1.4598E-06  5.8915E-07  0.0000E+00  2.1192E-05  1.7124E-03  4.1082E-12
  1.0530E-04  1.6761E-05  1.3015E-03  1.1438E-06  4.8845E-07  0.0000E+00  1.5617E-05  1.3004E-03  2.9111E-12
  1.0530E-04  1.6761E-05  1.3015E-03  1.1438E-06  4.8845E-07  2.6457E-15  1.5617E-05  1.3004E-03  2.9111E-12
  9.2309E-05  1.5742E-05  1.2289E-03  1.0855E-06  4.6781E-07  7.7046E-09  1.4656E-05  1.2279E-03  2.7102E-12
  6.2808E-05  1.3110E-05  1.0396E-03  9.3050E-07  4.1064E-07  2.1239E-08  1.2180E-05  1.0387E-03  2.2005E-12
  4.2470E-05  1.0880E-05  8.7639E-04  7.9398E-07  3.5792E-07  2.9079E-08  1.0086E-05  8.7560E-04  1.7800E-12
  3.0046E-05  9.2171E-06  7.5270E-04  6.8921E-07  3.1630E-07  3.3086E-08  8.5278E-06  7.5201E-04  1.4744E-12
  2.1384E-05  7.8204E-06  6.4720E-04  5.9952E-07  2.8019E-07  3.5720E-08  7.2209E-06  6.4660E-04  1.2234E-12
  1.6253E-05  6.8388E-06  5.7199E-04  5.3576E-07  2.5447E-07  3.7517E-08  6.3030E-06  5.7146E-04  1.0506E-12
  1.1804E-05  5.8304E-06  4.9362E-04  4.6978E-07  2.2795E-07  3.9595E-08  5.3605E-06  4.9315E-04  8.7642E-13
  9.0013E-06  5.0748E-06  4.3405E-04  4.2015E-07  2.0817E-07  4.1524E-08  4.6546E-06  4.3363E-04  7.4841E-13
  7.1028E-06  4.4768E-06  3.8631E-04  3.8084E-07  1.9270E-07  4.3435E-08  4.0960E-06  3.8593E-04  6.4878E-13
  5.3630E-06  3.8305E-06  3.3397E-04  3.3857E-07  1.7647E-07  4.6259E-08  3.4919E-06  3.3363E-04  5.4295E-13
  4.2872E-06  3.3174E-06  2.9177E-04  3.0553E-07  1.6434E-07  4.9503E-08  3.0118E-06  2.9147E-04  4.6040E-13
  3.8287E-06  2.9068E-06  2.5752E-04  2.7961E-07  1.5533E-07  5.2990E-08  2.6272E-06  2.5724E-04  3.9540E-13
  3.6890E-06  2.5536E-06  2.2763E-04  2.5779E-07  1.4822E-07  5.6815E-08  2.2958E-06  2.2737E-04  3.4028E-13
  3.6264E-06  2.2547E-06  2.0200E-04  2.3980E-07  1.4280E-07  6.0804E-08  2.0149E-06  2.0176E-04  2.9430E-13
  3.6283E-06  2.0096E-06  1.8069E-04  2.2554E-07  1.3896E-07  6.4826E-08  1.7841E-06  1.8046E-04  2.5708E-13
  3.6283E-06  1.8062E-06  1.6277E-04  2.1423E-07  1.3639E-07  6.8882E-08  1.5920E-06  1.6256E-04  2.2652E-13
  3.6283E-06  1.6271E-06  1.4677E-04  2.0490E-07  1.3484E-07  7.3286E-08  1.4222E-06  1.4656E-04  1.9987E-13
  3.6283E-06  1.4712E-06  1.3266E-04  1.9732E-07  1.3411E-07  7.7836E-08  1.2739E-06  1.3246E-04  1.7689E-13
  3.6283E-06  1.3397E-06  1.2060E-04  1.9142E-07  1.3406E-07  8.2315E-08  1.1482E-06  1.2041E-04  1.5765E-13
  3.6283E-06  1.2286E-06  1.1028E-04  1.8687E-07  1.3449E-07  8.6653E-08  1.0417E-06  1.1009E-04  1.4153E-13
  3.6283E-06  1.1282E-06  1.0084E-04  1.8316E-07  1.3534E-07  9.1093E-08  9.4502E-07  1.0065E-04  1.2706E-13
  3.6283E-06  1.0395E-06  9.2370E-05  1.8041E-07  1.3666E-07  9.5661E-08  8.5906E-07  9.2190E-05  1.1433E-13
  3.6283E-06  9.6349E-07  8.5014E-05  1.7853E-07  1.3832E-07  1.0016E-07  7.8495E-07  8.4836E-05  1.0347E-13
  3.6283E-06  8.9843E-07  7.8617E-05  1.7747E-07  1.4033E-07  1.0465E-07  7.2095E-07  7.8439E-05  9.4191E-14
  3.6283E-06  8.3881E-07  7.2664E-05  1.7698E-07  1.4269E-07  1.0935E-07  6.6182E-07  7.2487E-05  8.5691E-14
  3.6283E-06  7.8534E-07  6.7241E-05  1.7701E-07  1.4532E-07  1.1411E-07  6.0832E-07  6.7064E-05  7.8072E-14
  3.6283E-06  7.3908E-07  6.2472E-05  1.7748E-07  1.4806E-07  1.1874E-07  5.6160E-07  6.2294E-05  7.1479E-14
  3.6283E-06  6.9896E-07  5.8271E-05  1.7825E-07  1.5084E-07  1.2321E-07  5.2071E-07  5.8093E-05  6.5757E-14
  3.6283E-06  6.6167E-07  5.4308E-05  1.7932E-07  1.5380E-07  1.2777E-07  4.8234E-07  5.4128E-05  6.0432E-14
  3.6283E-06  6.2820E-07  5.0680E-05  1.8074E-07  1.5694E-07  1.3238E-07  4.4746E-07  5.0500E-05  5.5633E-14
  3.6283E-06  5.9875E-07  4.7428E-05  1.8240E-07  1.6015E-07  1.3692E-07  4.1635E-07  4.7245E-05  5.1383E-14
  3.6283E-06  5.7343E-07  4.4554E-05  1.8439E-07  1.6352E-07  1.4147E-07  3.8903E-07  4.4370E-05  4.7682E-14
  3.6283E-06  5.4979E-07  4.1812E-05  1.8671E-07  1.6713E-07  1.4622E-07  3.6308E-07  4.1625E-05  4.4189E-14
  3.4901E-03  3.1023E-05  3.6964E-03  8.9091E-13  0.0000E+00  0.0000E+00  3.1023E-05  3.6964E-03  1.7795E-12
  2.1672E-03  2.4844E-05  2.9619E-03  6.1985E-07  0.0000E+00  0.0000E+00  2.4224E-05  2.9613E-03  1.3480E-12
  1.5119E-03  2.0953E-05  2.5082E-03  8.2546E-07  0.0000E+00  0.0000E+00  2.0128E-05  2.5074E-03  1.0952E-12
  9.2606E-04  1.6593E-05  2.0045E-03  9.0713E-07  0.0000E+00  0.0000E+00  1.5686E-05  2.0036E-03  8.2847E-13
  9.2606E-04  1.6593E-05  2.0045E-03  9.0713E-07  4.3444E-13  0.0000E+00  1.5686E-05  2.0036E-03  8.2847E-13
  6.1169E-04  1.3634E-05  1.6636E-03  8.7886E-07  1.3733E-07  0.0000E+00  1.2755E-05  1.6627E-03  6.5751E-13
  4.1289E-04  1.1311E-05  1.3953E-03  8.1370E-07  1.9470E-07  0.0000E+00  1.0498E-05  1.3945E-03  5.2906E-13
  2.9560E-04  9.6487E-06  1.2023E-03  7.4519E-07  2.1386E-07  0.0000E+00  8.9035E-06  1.2015E-03  4.4033E-13
  2.1546E-04  8.3007E-06  1.0447E-03  6.7700E-07  2.1687E-07  0.0000E+00  7.6237E-06  1.0440E-03  3.7045E-13
  1.5478E-04  7.0915E-06  9.0218E-04  6.0664E-07  2.1060E-07  0.0000E+00  6.4848E-06  9.0157E-04  3.0943E-13
  1.1644E-04  6.1951E-06  7.9560E-04  5.4914E-07  2.0081E-07  0.0000E+00  5.6460E-06  7.9505E-04  2.6528E-13
  8.8933E-05  5.4489E-06  7.0610E-04  4.9782E-07  1.8941E-07  0.0000E+00  4.9511E-06  7.0560E-04  2.2929E-13
  7.1958E-05  4.9272E-06  6.4303E-04  4.6020E-07  1.7983E-07  0.0000E+00  4.4670E-06  6.4257E-04  2.0455E-13
  3.6479E-05  3.5709E-06  4.7655E-04  3.5624E-07  1.4951E-07  0.0000E+00  3.2147E-06  4.7619E-04  1.4206E-13
  3.6479E-05  3.5709E-06  4.7655E-04  3.5624E-07  1.4951E-07  7.4196E-16  3.2147E-06  4.7619E-04  1.4206E-13
  3.1639E-05  3.3400E-06  4.4772E-04  3.3779E-07  1.4374E-07  2.1764E-09  3.0022E-06  4.4739E-04  1.3171E-13
  2.0886E-05  2.7494E-06  3.7322E-04  2.8986E-07  1.2850E-07  6.7217E-09  2.4595E-06  3.7293E-04  1.0565E-13
  1.3738E-05  2.2567E-06  3.0998E-04  2.4922E-07  1.1549E-07  1.0653E-08  2.0075E-06  3.0973E-04  8.4415E-14
  9.5275E-06  1.8949E-06  2.6273E-04  2.1920E-07  1.0603E-07  1.3987E-08  1.6757E-06  2.6252E-04  6.9161E-14
  6.6939E-06  1.5957E-06  2.2298E-04  1.9469E-07  9.8765E-08  1.7633E-08  1.4010E-06  2.2279E-04  5.6775E-14
  5.0665E-06  1.3886E-06  1.9498E-04  1.7823E-07  9.4414E-08  2.1093E-08  1.2103E-06  1.9480E-04  4.8327E-14
  3.7566E-06  1.1791E-06  1.6616E-04  1.6225E-07  9.0873E-08  2.5749E-08  1.0168E-06  1.6600E-04  3.9898E-14
  3.2339E-06  1.0246E-06  1.4451E-04  1.5108E-07  8.9026E-08  3.0196E-08  8.7356E-07  1.4436E-04  3.3763E-14
  3.0745E-06  9.0421E-07  1.2735E-04  1.4286E-07  8.8189E-08  3.4464E-08  7.6135E-07  1.2721E-04  2.9030E-14
  3.0029E-06  7.7637E-07  1.0875E-04  1.3503E-07  8.8335E-08  4.0295E-08  6.4133E-07  1.0862E-04  2.4049E-14
  3.0039E-06  6.7719E-07  9.3939E-05  1.3011E-07  8.9769E-08  4.6400E-08  5.4707E-07  9.3809E-05  2.0201E-14
  3.0039E-06  5.9964E-07  8.2051E-05  1.2727E-07  9.2011E-08  5.2514E-08  4.7237E-07  8.1923E-05  1.7199E-14
  3.0039E-06  5.3443E-07  7.1789E-05  1.2577E-07  9.4905E-08  5.8862E-08  4.0866E-07  7.1663E-05  1.4676E-14
  3.0039E-06  4.8056E-07  6.3080E-05  1.2535E-07  9.8205E-08  6.5192E-08  3.5520E-07  6.2955E-05  1.2589E-14
  3.0039E-06  4.3757E-07  5.5912E-05  1.2588E-07  1.0180E-07  7.1370E-08  3.1169E-07  5.5786E-05  1.0913E-14
  3.0039E-06  4.0301E-07  4.9941E-05  1.2721E-07  1.0568E-07  7.7472E-08  2.7579E-07  4.9814E-05  9.5469E-15
  3.0039E-06  3.7379E-07  4.4657E-05  1.2945E-07  1.1017E-07  8.3998E-08  2.4434E-07  4.4528E-05  8.3646E-15
  3.0039E-06  3.4936E-07  4.0039E-05  1.3227E-07  1.1496E-07  9.0628E-08  2.1710E-07  3.9907E-05  7.3520E-15
  3.0039E-06  3.2960E-07  3.6123E-05  1.3540E-07  1.1977E-07  9.7048E-08  1.9420E-07  3.5988E-05  6.5102E-15
  3.0039E-06  3.1362E-07  3.2801E-05  1.3869E-07  1.2448E-07  1.0317E-07  1.7493E-07  3.2663E-05  5.8091E-15
  3.0039E-06  2.9982E-07  2.9784E-05  1.4226E-07  1.2934E-07  1.0935E-07  1.5756E-07  2.9641E-05  5.1836E-15
  3.0039E-06  2.8826E-07  2.7100E-05  1.4603E-07  1.3426E-07  1.1548E-07  1.4224E-07  2.6954E-05  4.6368E-15
  3.0039E-06  2.7899E-07  2.4785E-05  1.4988E-07  1.3910E-07  1.2140E-07  1.2912E-07  2.4635E-05  4.1731E-15
  3.0039E-06  2.7165E-07  2.2785E-05  1.5379E-07  1.4387E-07  1.2714E-07  1.1786E-07  2.2631E-05  3.7788E-15
  3.0039E-06  2.6553E-07  2.0937E-05  1.5800E-07  1.4888E-07  1.3306E-07  1.0752E-07  2.0779E-05  3.4196E-15
  3.0039E-06  2.6064E-07  1.9265E-05  1.6241E-07  1.5401E-07  1.3904E-07  9.8227E-08  1.9103E-05  3.0994E-15
  3.0039E-06  2.5700E-07  1.7804E-05  1.6684E-07  1.5907E-07  1.4487E-07  9.0160E-08  1.7638E-05  2.8237E-15
  3.0039E-06  2.5436E-07  1.6526E-05  1.7122E-07  1.6400E-07  1.5049E-07  8.3139E-08  1.6355E-05  2.5857E-15
  3.0039E-06  2.5239E-07  1.5327E-05  1.7580E-07  1.6909E-07  1.5624E-07  7.6589E-08  1.5151E-05  2.3651E-15
  3.0039E-06  2.4823E-07  1.4234E-05  1.7756E-07  1.7133E-07  1.5910E-07  7.0668E-08  1.4056E-05  2.1673E-15
  3.0039E-06  2.4284E-07  1.3257E-05  1.7743E-07  1.7161E-07  1.5995E-07  6.5412E-08  1.3079E-05  1.9929E-15
  3.0039E-06  2.3994E-07  1.2400E-05  1.7911E-07  1.7367E-07  1.6252E-07  6.0824E-08  1.2221E-05  1.8417E-15
  3.0039E-06  2.3867E-07  1.1588E-05  1.8218E-07  1.7709E-07  1.6644E-07  5.6485E-08  1.1406E-05  1.6996E-15
  1.3315E-03  4.0797E-06  1.1201E-03  1.3571E-14  0.0000E+00  0.0000E+00  4.0797E-06  1.1201E-03  2.7131E-14
  7.8048E-04  3.2560E-06  8.7438E-04  1.5075E-07  0.0000E+00  0.0000E+00  3.1053E-06  8.7423E-04  2.0106E-14
  5.2147E-04  2.7267E-06  7.2616E-04  1.9528E-07  0.0000E+00  0.0000E+00  2.5315E-06  7.2597E-04  1.6071E-14
  3.0130E-04  2.1306E-06  5.6533E-04  2.0759E-07  0.0000E+00  0.0000E+00  1.9230E-06  5.6512E-04  1.1892E-14
  3.0130E-04  2.1306E-06  5.6533E-04  2.0759E-07  9.3404E-14  0.0000E+00  1.9230E-06  5.6512E-04  1.1892E-14
  1.8971E-04  1.7274E-06  4.5915E-04  1.9640E-07  2.9019E-08  0.0000E+00  1.5310E-06  4.5896E-04  9.2689E-15
  1.2241E-04  1.4139E-06  3.7738E-04  1.7851E-07  4.0503E-08  0.0000E+00  1.2354E-06  3.7720E-04  7.3325E-15
  8.4367E-05  1.1920E-06  3.1965E-04  1.6158E-07  4.4261E-08  0.0000E+00  1.0305E-06  3.1949E-04  6.0158E-15
  5.9339E-05  1.0146E-06  2.7332E-04  1.4597E-07  4.5228E-08  0.0000E+00  8.6861E-07  2.7317E-04  4.9934E-15
  4.1083E-05  8.5785E-07  2.3212E-04  1.3094E-07  4.4933E-08  0.0000E+00  7.2691E-07  2.3199E-04  4.1130E-15
  2.9956E-05  7.4350E-07  2.0179E-04  1.1938E-07  4.4223E-08  0.0000E+00  6.2412E-07  2.0167E-04  3.4841E-15
  2.2231E-05  6.4979E-07  1.7669E-04  1.0963E-07  4.3454E-08  0.0000E+00  5.4016E-07  1.7658E-04  2.9777E-15
  1.7598E-05  5.8518E-07  1.5922E-04  1.0282E-07  4.2903E-08  0.0000E+00  4.8236E-07  1.5912E-04  2.6331E-15
  8.3833E-06  4.2210E-07  1.1409E-04  8.6171E-08  4.2466E-08  0.0000E+00  3.3593E-07  1.1401E-04  1.7778E-15
  8.3833E-06  4.2210E-07  1.1409E-04  8.6171E-08  4.2467E-08  1.9783E-16  3.3593E-07  1.1401E-04  1.7778E-15
  7.1988E-06  3.9539E-07  1.0645E-04  8.3781E-08  4.2834E-08  6.1246E-10  3.1161E-07  1.0637E-04  1.6388E-15
  4.6586E-06  3.2887E-07  8.6957E-05  7.8575E-08  4.4687E-08  3.2726E-09  2.5029E-07  8.6878E-05  1.2924E-15
  3.1047E-06  2.7582E-07  7.0754E-05  7.5592E-08  4.7610E-08  7.4611E-09  2.0023E-07  7.0679E-05  1.0151E-15
  2.5013E-06  2.3869E-07  5.8892E-05  7.4494E-08  5.0869E-08  1.2138E-08  1.6420E-07  5.8818E-05  8.1904E-16
  2.4614E-06  2.0996E-07  4.9095E-05  7.5064E-08  5.5069E-08  1.7958E-08  1.3489E-07  4.9020E-05  6.6229E-16
  2.4509E-06  1.9171E-07  4.2311E-05  7.6834E-08  5.9375E-08  2.3710E-08  1.1488E-07  4.2234E-05  5.5684E-16
  2.4513E-06  1.7501E-07  3.5443E-05  8.0121E-08  6.5253E-08  3.1420E-08  9.4887E-08  3.5363E-05  4.5308E-16
  2.4513E-06  1.6406E-07  3.0372E-05  8.3736E-08  7.0803E-08  3.8629E-08  8.0321E-08  3.0289E-05  3.7858E-16
  2.4513E-06  1.5652E-07  2.6411E-05  8.7444E-08  7.6038E-08  4.5392E-08  6.9075E-08  2.6324E-05  3.2179E-16
  2.4513E-06  1.5006E-07  2.2187E-05  9.2826E-08  8.3068E-08  5.4350E-08  5.7229E-08  2.2094E-05  2.6280E-16
  2.4513E-06  1.4699E-07  1.8880E-05  9.8911E-08  9.0461E-08  6.3521E-08  4.8074E-08  1.8781E-05  2.1787E-16
  2.4513E-06  1.4634E-07  1.6269E-05  1.0542E-07  9.8015E-08  7.2695E-08  4.0927E-08  1.6163E-05  1.8326E-16
  2.4513E-06  1.4743E-07  1.4049E-05  1.1252E-07  1.0602E-07  8.2266E-08  3.4917E-08  1.3936E-05  1.5452E-16
  2.4513E-06  1.4979E-07  1.2193E-05  1.1984E-07  1.1411E-07  9.1836E-08  2.9944E-08  1.2073E-05  1.3102E-16
  2.4513E-06  1.5288E-07  1.0688E-05  1.2693E-07  1.2183E-07  1.0090E-07  2.5950E-08  1.0561E-05  1.1237E-16
  2.4513E-06  1.5737E-07  9.4513E-06  1.3468E-07  1.3010E-07  1.1038E-07  2.2694E-08  9.3167E-06  9.7316E-17
  2.4513E-06  1.6571E-07  8.3751E-06  1.4584E-07  1.4173E-07  1.2316E-07  1.9876E-08  8.2292E-06  8.4425E-17
  2.4513E-06  1.7621E-07  7.4484E-06  1.5875E-07  1.5505E-07  1.3758E-07  1.7462E-08  7.2896E-06  7.3492E-17
  2.4513E-06  1.8765E-07  6.6742E-06  1.7219E-07  1.6884E-07  1.5235E-07  1.5456E-08  6.5020E-06  6.4487E-17
  2.4513E-06  1.9929E-07  6.0263E-06  1.8550E-07  1.8245E-07  1.6685E-07  1.3785E-08  5.8408E-06  5.7055E-17
  2.4513E-06  2.2480E-07  5.4589E-06  2.1251E-07  2.0972E-07  1.9499E-07  1.2294E-08  5.2464E-06  5.0479E-17
  2.4513E-06  2.6882E-07  4.9808E-06  2.5783E-07  2.5528E-07  2.4135E-07  1.0992E-08  4.7230E-06  4.4782E-17
  2.4513E-06  3.3861E-07  4.6047E-06  3.2872E-07  3.2638E-07  3.1319E-07  9.8872E-09  4.2759E-06  3.9989E-17
  2.4513E-06  3.9771E-07  4.2821E-06  3.8876E-07  3.8660E-07  3.7408E-07  8.9481E-09  3.8933E-06  3.5944E-17
  2.4513E-06  4.5192E-07  3.9866E-06  4.4383E-07  4.4183E-07  4.2995E-07  8.0931E-09  3.5428E-06  3.2288E-17
  2.4513E-06  5.0062E-07  3.7215E-06  4.9329E-07  4.9144E-07  4.8017E-07  7.3308E-09  3.2282E-06  2.9051E-17
  2.4513E-06  5.4283E-07  3.4920E-06  5.3616E-07  5.3445E-07  5.2373E-07  6.6749E-09  2.9559E-06  2.6285E-17
  2.4513E-06  5.7952E-07  3.2928E-06  5.7342E-07  5.7182E-07  5.6161E-07  6.1086E-09  2.7193E-06  2.3913E-17
  2.4513E-06  6.1372E-07  3.1072E-06  6.0814E-07  6.0665E-07  5.9693E-07  5.5841E-09  2.4991E-06  2.1729E-17
  2.4513E-06  6.4546E-07  2.9408E-06  6.4034E-07  6.3896E-07  6.2970E-07  5.1140E-09  2.3005E-06  1.9784E-17
  2.4513E-06  6.7434E-07  2.7942E-06  6.6964E-07  6.6835E-07  6.5952E-07  4.6995E-09  2.1245E-06  1.8078E-17
  2.4513E-06  6.9957E-07  2.6665E-06  6.9523E-07  6.9402E-07  6.8558E-07  4.3405E-09  1.9712E-06  1.6611E-17
  2.4513E-06  7.2341E-07  2.5460E-06  7.1941E-07  7.1827E-07  7.1021E-07  4.0031E-09  1.8266E-06  1.5238E-17
  2.5564E-04  1.2672E-07  1.4179E-04  1.5154E-17  0.0000E+00  0.0000E+00  1.2672E-07  1.4179E-04  3.0303E-17
  1.3610E-04  1.0654E-07  1.0605E-04  1.3798E-08  0.0000E+00  0.0000E+00  9.2742E-08  1.0603E-04  2.1833E-17
  8.4637E-05  9.1347E-08  8.5304E-05  1.7922E-08  0.0000E+00  0.0000E+00  7.3426E-08  8.5286E-05  1.7090E-17
  4.4395E-05  7.3971E-08  6.3625E-05  2.0340E-08  0.0000E+00  0.0000E+00  5.3631E-08  6.3605E-05  1.2285E-17
  4.4395E-05  7.3971E-08  6.3625E-05  2.0340E-08  7.6780E-15  0.0000E+00  5.3631E-08  6.3605E-05  1.2285E-17
  2.5844E-05  6.2677E-08  4.9887E-05  2.1331E-08  2.8414E-09  0.0000E+00  4.1346E-08  4.9866E-05  9.3546E-18
  1.5508E-05  5.4516E-08  3.9671E-05  2.2147E-08  5.2401E-09  0.0000E+00  3.2368E-08  3.9649E-05  7.2404E-18
  1.0072E-05  4.9343E-08  3.2681E-05  2.3022E-08  7.3851E-09  0.0000E+00  2.6321E-08  3.2658E-05  5.8276E-18
  6.7205E-06  4.6046E-08  2.7226E-05  2.4383E-08  9.8758E-09  0.0000E+00  2.1663E-08  2.7202E-05  4.7535E-18
  4.4280E-06  4.4269E-08  2.2507E-05  2.6584E-08  1.3188E-08  0.0000E+00  1.7685E-08  2.2480E-05  3.8455E-18
  3.1251E-06  4.3956E-08  1.9121E-05  2.9090E-08  1.6592E-08  0.0000E+00  1.4866E-08  1.9092E-05  3.2103E-18
  2.3595E-06  4.4575E-08  1.6386E-05  3.1963E-08  2.0276E-08  0.0000E+00  1.2612E-08  1.6354E-05  2.7020E-18
  2.0403E-06  4.5564E-08  1.4520E-05  3.4476E-08  2.3398E-08  0.0000E+00  1.1088E-08  1.4486E-05  2.3624E-18
  1.9008E-06  4.7362E-08  9.8657E-06  4.0014E-08  3.0735E-08  0.0000E+00  7.3475E-09  9.8257E-06  1.5399E-18
  1.9008E-06  4.7362E-08  9.8657E-06  4.0014E-08  3.0735E-08 -8.9609E-16  7.3475E-09  9.8257E-06  1.5399E-18
  1.9018E-06  4.9978E-08  9.1078E-06  4.3231E-08  3.4301E-08 -2.5267E-09  6.7465E-09  9.0646E-06  1.4095E-18
  1.9017E-06  6.1816E-08  7.2206E-06  5.6557E-08  4.8590E-08 -3.9159E-10  5.2596E-09  7.1640E-06  1.0876E-18
  1.9017E-06  7.7893E-08  5.7105E-06  7.3811E-08  6.6750E-08  1.1005E-08  4.0823E-09  5.6367E-06  8.3560E-19
  1.9017E-06  1.0330E-07  4.6541E-06  1.0004E-07  9.3725E-08  3.5434E-08  3.2592E-09  4.5541E-06  6.6111E-19
  1.9017E-06  2.0933E-07  3.8928E-06  2.0672E-07  2.0109E-07  1.4263E-07  2.6077E-09  3.6861E-06  5.2431E-19
  1.9017E-06  2.9060E-07  3.3895E-06  2.8843E-07  2.8331E-07  2.2598E-07  2.1735E-09  3.1011E-06  4.3410E-19
  1.9017E-06  3.7098E-07  2.8936E-06  3.6923E-07  3.6468E-07  3.0978E-07  1.7501E-09  2.5243E-06  3.4665E-19
  1.9017E-06  4.2900E-07  2.5372E-06  4.2755E-07  4.2345E-07  3.7131E-07  1.4490E-09  2.1097E-06  2.8503E-19
  1.9017E-06  4.7359E-07  2.2656E-06  4.7237E-07  4.6865E-07  4.1933E-07  1.2214E-09  1.7933E-06  2.3876E-19
  1.9017E-06  5.2618E-07  1.9894E-06  5.2520E-07  5.2191E-07  4.7640E-07  9.8718E-10  1.4642E-06  1.9164E-19
  1.9017E-06  5.6783E-07  1.7804E-06  5.6702E-07  5.6410E-07  5.2222E-07  8.1046E-10  1.2134E-06  1.5628E-19
  1.9017E-06  5.9994E-07  1.6193E-06  5.9927E-07  5.9665E-07  5.5811E-07  6.7556E-10  1.0201E-06  1.2938E-19
  1.9017E-06  6.2661E-07  1.4855E-06  6.2605E-07  6.2371E-07  5.8840E-07  5.6451E-10  8.5948E-07  1.0736E-19
  1.9017E-06  6.4843E-07  1.3761E-06  6.4795E-07  6.4585E-07  6.1355E-07  4.7450E-10  7.2817E-07  8.9574E-20
  1.9017E-06  6.6574E-07  1.2893E-06  6.6533E-07  6.6344E-07  6.3383E-07  4.0365E-10  6.2395E-07  7.5809E-20
  1.9017E-06  6.7970E-07  1.2192E-06  6.7936E-07  6.7764E-07  6.5042E-07  3.4690E-10  5.3986E-07  6.4798E-20
  1.9017E-06  6.9166E-07  1.1592E-06  6.9136E-07  6.8981E-07  6.6482E-07  2.9868E-10  4.6787E-07  5.5481E-20
  1.9017E-06  7.0180E-07  1.1084E-06  7.0155E-07  7.0014E-07  6.7721E-07  2.5807E-10  4.0682E-07  4.7646E-20
  1.9017E-06  7.1015E-07  1.0665E-06  7.0993E-07  7.0864E-07  6.8754E-07  2.2485E-10  3.5657E-07  4.1505E-20
  1.9017E-06  7.1704E-07  1.0320E-06  7.1684E-07  7.1566E-07  6.9617E-07  1.9762E-10  3.1511E-07  3.6211E-20
  1.9017E-06  7.2313E-07  1.0014E-06  7.2295E-07  7.2188E-07  7.0389E-07  1.7369E-10  2.7846E-07  3.1764E-20
  1.9017E-06  7.2840E-07  9.7496E-07  7.2825E-07  7.2726E-07  7.1067E-07  1.5308E-10  2.4671E-07  2.7952E-20
  1.9017E-06  7.3283E-07  9.5273E-07  7.3270E-07  7.3179E-07  7.1643E-07  1.3585E-10  2.2003E-07  2.4564E-20
  1.9017E-06  7.3657E-07  9.3398E-07  7.3645E-07  7.3561E-07  7.2134E-07  1.2140E-10  1.9753E-07  2.2023E-20
  1.9017E-06  7.3995E-07  9.1704E-07  7.3984E-07  7.3906E-07  7.2583E-07  1.0841E-10  1.7720E-07  1.9482E-20
  1.9017E-06  7.4294E-07  9.0206E-07  7.4284E-07  7.4212E-07  7.2984E-07  9.6970E-11  1.5922E-07  1.7364E-20
  1.9017E-06  7.4548E-07  8.8927E-07  7.4540E-07  7.4473E-07  7.3330E-07  8.7254E-11  1.4388E-07  1.5670E-20
  1.9017E-06  7.4767E-07  8.7831E-07  7.4759E-07  7.4697E-07  7.3629E-07  7.8964E-11  1.3072E-07  1.4188E-20
  1.9017E-06  7.4968E-07  8.6823E-07  7.4961E-07  7.4904E-07  7.3907E-07  7.1368E-11  1.1862E-07  1.2705E-20
  1.9017E-06  7.5147E-07  8.5926E-07  7.5140E-07  7.5087E-07  7.4157E-07  6.4643E-11  1.0786E-07  1.1435E-20
  1.9017E-06  7.5304E-07  8.5141E-07  7.5298E-07  7.5248E-07  7.4378E-07  5.8773E-11  9.8429E-08  1.0376E-20
  1.9017E-06  7.5438E-07  8.4465E-07  7.5433E-07  7.5386E-07  7.4570E-07  5.3747E-11  9.0321E-08  9.5291E-21
  1.9017E-06  7.5564E-07  8.3834E-07  7.5559E-07  7.5516E-07  7.4750E-07  4.9067E-11  8.2746E-08  8.6821E-21
pythia8-8.1.86.orig/xmldoc/EventInformation.xml0000444000175000017500000007103012357055017017642 0ustar  sunsun 
 

      Event Information
       
 
The Info class collects various one-of-a-kind information, 
some relevant for all events and others for the current event. 
An object info is a public member of the Pythia 
class, so if you e.g. have declared Pythia pythia, the 
Info methods can be accessed by 
pythia.info.method(). Most of this is information that 
could also be obtained e.g. from the event record, but is here more 
directly available. It is primarily intended for processes generated 
internally in PYTHIA, but many of the methods would work also for 
events fed in via the Les Houches Accord. 
 

      List information
       
 
 
a listing of most of the information set for the current event. 
 
 

      The beams
       
 
 
 
 
the identities of the two beam particles. 
 
 
 
 
 
the longitudinal momenta of the two beam particles. 
 
 
 
 
 
the energies of the two beam particles. 
 
 
 
 
 
the masses of the two beam particles. 
 
 
 
 
 
the CM energy and its square for the two beams. 
 
 

      Initialization
       
 
 
normally false, but true if the proposed pTmin scale was too low 
in timelike or spacelike showers, or in multiparton interactions. In the 
former case the pTmin is raised to some minimal value, in the 
latter the initialization fails (it is impossible to obtain a minijet 
cross section bigger than the nondiffractive one by reducing 
pTmin). 
 
 

      The event type
       
 
 
 
 
the name and code of the process that occurred. 
 
 
 
the number of final-state partons in the hard process. 
 
 
 
are beam particles resolved, i.e. were PDF's used for the process? 
 
 
 
 
 
is either beam diffractively excited? 
 
 
 
is there central diffraction (a.k.a. double Pomeron exchange)? 
 
 
 
is the process the SoftQCD:nonDiffractive one, 
i.e. corresponding to the full inelastic nondiffractive part of the 
total cross section. (Note that a hard process, say Z^0 
production, normally is nondiffractive, but this is not what we 
aim at here, and so the method would return false, 
unless the Z^0 had been generated as part of the MPI 
machinery for the SoftQCD:nonDiffractive component.) 
 
 
 
the same as above, retained for backwards compatibility, but to 
be removed in PYTHIA 8.2. 
 
 
 
has the process been generated from external Les Houches Accord 
information? 
 
 
 
true if a linked Les Houches class refuses to return any further 
events, presumably because it has reached the end of the file from 
which events have been read in. 
 
 
 
does the process have a subprocess classification? 
Currently only true for nondiffractive and Les Houches events, where 
it allows the hardest collision to be identified. 
 
 
 
 
 
 
 
the name, code and number of final-state partons in the subprocess 
that occurred when hasSub() is true. For a minimum-bias event 
the code would always be 101, while codeSub() 
would vary depending on the actual hardest interaction, e.g. 111 for 
g g → g g. For a Les Houches event the code would 
always be 9999, while codeSub() would be the external 
user-defined classification code. The methods below would also provide 
information for such particular subcollisions. 
 
 

      Hard process initiators
       
 
The methods in this sections refer to the two initial partons of the 
hard 2 → n process (diffraction excluded; see below). 
 
 
 
 
the identities of the two partons coming in to the hard process. 
 
 
 
 
 
x fractions of the two partons coming in to the hard process. 
 
 
 
 
 
rapidity and scaled mass-squared of the hard-process subsystem, as 
defined by the above x values. 
 
 
 
 
 
true if the two hard incoming partons have been picked 
to belong to the valence piece of the parton-density distribution, 
else false. Should be interpreted with caution. 
Information is not set if you switch off parton-level processing. 
 
 

      Hard process parton densities and scales
       
 
The methods in this section refer to the partons for which parton 
densities have been defined, in order to calculate the cross section 
of the hard process (diffraction excluded; see below). 
 

       
These partons would normally agree with the 
ones above, the initiators of the 2 → n process, but it 
does not have to be so. Currently the one counterexample is POWHEG 
events Ali10. Here the original hard process could be 
2 → (n-1). The NLO machinery at times would add an 
initial-state branching to give a 2 → n process with a 
changed initial state. In that case the values in this section 
refer to the original 2 → (n-1) state and the initiator 
ones above to the complete2 → n process. The 
Info::list() printout will contain a warning in such cases. 
 

       
For external events in the Les Houches format, the pdf information 
is obtained from the optional #pdf line. When this 
information is absent, the parton identities and x values agree 
with the initiator ones above, while the pdf values are unknown and 
therefore set to vanish. The alpha_s and alpha_em 
values are part of the compulsory information. The factorization and 
renormalization scales are both equated with the one compulsory scale 
value in the Les Houches standard, except when a #pdf 
line provides the factorization scale separately. If alpha_s, 
alpha_em or the compulsory scale value are negative at input 
then new values are defined as for internal processes. 
 
 
 
 
the identities of the two partons for which parton density values 
are defined. 
 
 
 
 
 
x fractions of the two partons for which parton density values 
are defined. 
 
 
 
 
 
parton densities x*f(x,Q^2) evaluated for the two incoming 
partons; could be used e.g. for reweighting purposes in conjunction 
with the idpdf, xpdf and QFac 
methods. Events obtained from external programs or files may not 
contain this information and, if so, 0 is returned. 
 
 
 
 
 
the Q or Q^2 factorization scale at which the 
densities were evaluated. 
 
 
 
 
 
the alpha_strong and alpha_electromagnetic values used 
for the hard process. 
 
 
 
 
 
the Q or Q^2 renormalization scale at which 
alpha_strong and alpha_electromagnetic were evaluated. 
 
 
 
returns the stored SCALUP value for Les Houches events, 
and else zero. It may agree with both the QFac() and 
QRen() values, as explained above. However, to repeat, 
should the input SCALUP scale be negative, separate positive 
factorization and renormalization scales are calculated and set as for 
internally generated events. Furthermore, when PDF info is supplied for 
the Les Houches event, the factorization scale is set by this PDF info 
(scalePDF), which can disagree with SCALUP. 
 
 

      Hard process kinematics
       
 
The methods in this section provide info on the kinematics of the hard 
processes, with special emphasis on 2 → 2 (diffraction excluded; 
see below). 
 
 
 
 
the invariant mass and its square for the hard process. 
 
 
 
 
 
the remaining two Mandelstam variables; only defined for 2 → 2 
processes. 
 
 
 
 
 
transverse momentum and its square in the rest frame of a 2 → 2 
processes. 
 
 
 
 
 
the masses of the two outgoing particles in a 2 → 2 processes. 
 
 
 
 
 
the polar and azimuthal scattering angles in the rest frame of 
a 2 → 2 process. 
 
 

      Diffraction
       
 
Information on the primary elastic or 
diffractive process 
(A B → A B, X1 B, A X2, X1 X2, A X B) can be obtained with 
the methods in the "Hard process kinematics" section above. The 
variables here obviously are s, t, u, ... rather than 
sHat, tHat, uHat, ..., but the method names remain to avoid 
unnecessary duplication. Most other methods are irrelevant for a 
primary elastic/diffractive process. 
 

      Central diffraction A B → A X B is a 2 → 3 
process, and therefore most of the 2 → 2 variables are 
no longer relevant. The tHat() and uHat() 
methods instead return the two t values at the A → A 
and B → B vertices, and pTHat() the average 
transverse momentum of the three outgoing "particles", while 
thetaHat() and phiHat() are undefined. 
 

       
While the primary interaction does not contain a hard process, 
the diffractive subsystems can contain them, but need not. 
Specifically, double diffraction can contain two separate hard 
subprocesses, which breaks the methods above. Most of them have been 
expanded with an optional argument to address properties of diffractive 
subsystems. This argument can take four values: 

         

      • 0 : default argument, used for normal nondiffractive events or 
the primary elastic/diffractive process (see above); 

      • 1 : the X1 system in single diffraction 
A B → X1 B or double diffraction A B → X1 X2; 

      • 2 : the X2 system in single diffraction 
A B → A X2 or double diffraction A B → X1 X2; 

      • 3 : the X system in central diffraction 
A B → A X B. 

       
The argument is defined for all of the methods in the three sections above, 
"Hard process initiators", "Hard process parton densities and scales" and 
"Hard process kinematics", with the exception of the isValence 
methods. Also the four final methods of "The event type" section, the 
...Sub() methods, take this argument. But recall that they 
will only provide meaningful answers, firstly if there is a system of the 
requested type, and secondly if there is a hard subprocess in this system. 
A simple check for this is that id1() has to be nonvanishing. 
The methods below this section do not currently provide information 
specific to diffractive subsystems, e.g. the MPI information is not 
bookkept in such cases. 
 

      Event weight and activity
       
 
 
weight assigned to the current event. Is normally 1 and thus 
uninteresting. However, there are several cases where one may have 
nontrivial event weights. These weights must the be used e.g. when 
filling histograms. 

      (i) In the  
PhaseSpace:increaseMaximum = off default strategy, 
an event with a differential cross-section above the assumed one 
(in a given phase-space point) is assigned a weight correspondingly 
above unity. This should happen only very rarely, if at all, and so 
could normally be disregarded. 

      (ii) The User Hooks class offers 
the possibility to bias the selection of phase space points, which 
means that events come with a compensating weight, stored here. 

      (iii) For Les Houches events some strategies allow negative weights, 
which then after unweighting lead to events with weight -1. There are 
also Les Houches strategies where no unweighting is done, so events 
come with a weight. Specifically, for strategies +4 and 
-4, the event weight is in units of pb. (Internally in mb, 
but converted at output.) 
       
 
 
Sum of weights accumulated during the run. For unweighted events this 
agrees with the number of generated events. In order to obtain 
histograms normalized "per event", at the end of a run, histogram 
contents should be divided by this weight. (And additionally 
divided by the bin width.) Normalization to cross section also 
required multiplication by sigmaGen() below. 
 
 
 
normally 0, but if Les Houches events are input then it gives the 
event weighting strategy, see 
Les Houches Accord. 
 
 
 
 
 
 
 
the number of emissions in the initial-state showering, in the final-state 
showering excluding resonance decays, and in the final-state showering 
inside resonance decays, respectively. 
 
 
 
 
 
 
 
Maximum pT scales set for MPI, ISR and FSR, given the 
process type and scale choice for the hard interactions. The actual 
evolution will run down from these scales. 
 
 
 
The current pT scale in the combined MPI, ISR and FSR evolution. 
Useful for classification in user hooks, 
but not once the event has been evolved. 
 
 
 
combined leading-order merging weight assigned to the current event, if 
tree-level multi-jet merging (i.e. 
 CKKW-L or 
 UMEPS merging) is attempted. 
If tree-level multi-jet merging is performed, all histograms should be 
filled with this weight, as discussed in 
  CKKW-L Merging and 
  UMEPS Merging. 
 
 
 
combined NLO merging weight assigned to the current event, if 
NLO multi-jet merging (i.e. 
 NL3 or 
 UNLOPS merging) is attempted. 
If NLO multi-jet merging is performed, all histograms should be filled 
with this weight, as discussed in 
  NLO Merging. 
 
 

      Multiparton interactions
       
 
As already noted, these methods do not make sense for diffractive 
topologies, and should not be used there. Partly this is physics, 
but mainly it is for technical reasons, e.g. that double diffraction 
involves two separate systems that would have to be bookkept as such. 
 
 
The value of a0 when an x-dependent matter profile is used, 
MultipartonInteractions:bProfile = 4. 
 
 
 
The impact parameter b assumed for the current collision when 
multiparton interactions are simulated. Is not expressed in any physical 
size (like fm), but only rescaled so that the average should be unity 
for minimum-bias events (meaning less than that for events with hard 
processes). 
 
 
 
The choice of impact parameter implies an enhancement or depletion of 
the rate of subsequent interactions, as given by this number. Again 
the average is normalized be unity for minimum-bias events (meaning 
more than that for events with hard processes). 
 
 
 
The number of hard interactions in the current event. Is 0 for elastic 
and diffractive events, and else at least 1, with more possible from 
multiparton interactions. 
 
 
 
 
 
the process code and transverse momentum of the i'th 
subprocess, with i in the range from 0 to 
nMPI() - 1. The values for subprocess 0 is redundant with 
information already provided above. 
 
 
 
 
 
are normally zero. However, if the i'th subprocess is 
a rescattering, i.e. either or both incoming partons come from the 
outgoing state of previous scatterings, they give the position in the 
event record of the outgoing-state parton that rescatters. 
iAMPI and iBMPI then denote partons coming from 
the first or second beam, respectively. 
 
 
 
The enhancement or depletion of the rate of the i'th 
subprocess. Is primarily of interest for the 
MultipartonInteractions:bProfile = 4 option, where the 
size of the proton depends on the x values of the colliding 
partons. Note that eMPI(0) = enhanceMPI(). 
 
 

      Cross sections
       
 
Here are the currently available methods related to the event sample 
as a whole, for the default value i = 0, and otherwise for 
the specific process code provided as argument. This is the number 
obtained with Info::code(), while the further subdivision 
given by Info::codeSub() is not bookkept. While continuously 
updated during the run, it is recommended only to study these properties 
at the end of the event generation, when the full statistics is available. 
The individual process results are not available if 
a second hard process has been 
chosen, but can be gleaned from the pythia.stat() output. 
 
 
returns a vector with all the process codes set up for the current run, 
i.e. the valid nonzero arguments for the five methods below. 
 


returns the process name for process code i.
 
 
 
 
 
 
 
the total number of tried phase-space points, selected hard processes 
and finally accepted events, summed over all allowed processes 
(i = 0) or for the given process. 
The first number is only intended for a study of the phase-space selection 
efficiency. The last two numbers usually only disagree if the user introduces 
some veto during the event-generation process; then the former is the number 
of acceptable events found by PYTHIA and the latter the number that also 
were approved by the user. If you set a 
second hard process there may also be a mismatch. 
 
 
 
 
 
the estimated cross section and its estimated error, 
summed over all allowed processes (i = 0) or for the given 
process, in units of mb. The numbers refer to the accepted event sample 
above, i.e. after any user veto. 
 
 

      Loop counters
       
 
Mainly for internal/debug purposes, a number of loop counters from 
various parts of the program are stored in the Info class, 
so that one can keep track of how the event generation is progressing. 
This may be especially useful in the context of the 
User Hooks facility. 
 
 
the method that gives you access to the value of the various loop 
counters. 
 the counter number you want to access: 
 counters that refer to the run as a whole, 
i.e. are set 0 at the beginning of the run and then only can increase. 
 
 the number of successful constructor calls for the 
Pythia class (can only be 0 or 1). 
 
 the number of times a Pythia::init(...) 
call has been begun. 
 
 the number of times a Pythia::init(...) 
call has been completed successfully. 
 
 the number of times a Pythia::next() 
call has been begun. 
 
 the number of times a Pythia::next() 
call has been completed successfully. 
 
 counters that refer to each individual event, 
and are reset and updated in the top-level Pythia::next() 
method. 
 
 the number of times the selection of a new hard 
process has been begun. Normally this should only happen once, unless a 
user veto is set to abort the current process and try a new one. 
 
 the number of times the selection of a new hard 
process has been completed successfully. 
 
 as 11, but additionally the process should 
survive any user veto and go on to the parton- and hadron-level stages. 
 
 as 11, but additionally the process should 
survive the parton- and hadron-level stage and any user cuts. 
 
 the number of times the loop over parton- and 
hadron-level processing has begun for a hard process. Is reset each 
time counter 12 above is reached. 
 
 the number of times the above loop has successfully 
completed the parton-level step. 
 
 the number of times the above loop has successfully 
completed the checks and user vetoes after the parton-level step. 
 
 the number of times the above loop has successfully 
completed the hadron-level step. 
 
 the number of times the above loop has successfully 
completed the checks and user vetoes after the hadron-level step. 
 
 counters that refer to a local part of the 
individual event, and are reset at the beginning of this part. 
 
 the current system being processed in 
PartonLevel::next(). Is almost always 1, but for double 
diffraction the two diffractive systems are 1 and 2, respectively. 
 
 the number of times the processing of the 
current system (see above) has begun. 
 
 the number of times a step has begun in the 
combined MPI/ISR/FSR evolution downwards in pT 
for the current system. 
 
 the number of times MPI has been selected for the 
downwards step above. 
 
 the number of times ISR has been selected for the 
downwards step above. 
 
 the number of times FSR has been selected for the 
downwards step above. 
 
  the number of times MPI has been accepted as the 
downwards step above, after the vetoes. 
 
  the number of times ISR has been accepted as the 
downwards step above, after the vetoes. 
 
  the number of times FSR has been accepted as the 
downwards step above, after the vetoes. 
 
 the number of times a step has begun in the 
separate (optional) FSR evolution downwards in pT 
for the current system. 
 
 the number of times FSR has been selected for the 
downwards step above. 
 
  the number of times FSR has been accepted as the 
downwards step above, after the vetoes. 
 
 counters that are unused (currently), and 
that therefore are free to use, with the help of the two methods below. 
 
 
 
 
 
set the above counters to a given value. Only to be used by you 
for the unassigned counters 40 - 49. 
 the counter number, see above. 
 
 set the counter to this number; 
normally the default value is what you want. 
 
 
 
 
increase the above counters by a given amount. Only to be used by you 
for the unassigned counters 40 - 49. 
 the counter number, see above. 
 
 increase the counter by this amount; 
normally the default value is what you want. 
 
 
 

      Parton shower history
       
 
The following methods are mainly intended for internal use, 
e.g. for matrix-element matching. 
 
 
 
 
set/get knowledge whether the likely shower history of an event 
has been traced. 
 
 
 
 
 
set/get value of z in latest ISR branching. 
 
 
 
 
 
set/get value of pT^2 in latest ISR branching. 
 
 

      Header information
       
 
A simple string key/value store, mainly intended for accessing 
information that is stored in the header block of Les Houches Event 
(LHE) files. In principle, any LHAup derived class can set 
this header information, which can then be read out later. Although the 
naming convention is arbitrary, in practice, it is dictated by the 
XML-like format of LHE files, see  
Les Houches Accord for more details. 
 
 
return the header named key 
 
 
 
return a vector of all header key names 
 
 
 
set the header named key with the contents of val 
 
 
       
 
 
pythia8-8.1.86.orig/xmldoc/SemiInternalResonances.xml0000444000175000017500000002661612357055030020773 0ustar  sunsun 
 

      Semi-Internal Resonances
       
 
The introduction of a new  
semi-internal process may also involve a new particle, 
not currently implemented in PYTHIA. Often it is then enough to 
use the standard machinery 
to introduce a new particle (id:all = ...) and new 
decay channels (id:addChannel = ...). By default this 
only allows you to define a fixed total width and fixed branching 
ratios. Using meMode 
values 100 or bigger provides the possibility of a very 
simple threshold behaviour. 
 

       
If you want to have complete freedom, however, there are two 
ways to go. One is that you make the resonance decay part of the 
hard process itself, either using the 
Les Houches interface or 
a semi-internal process. The other is for you to create a new 
ResonanceWidths object, where you write the code 
needed for a calculation of the partial width of a particular 
channel. 
 

       
Here we will explain what is involved in setting up a resonance. 
Should you actually go ahead with this, it is strongly recommended 
to use an existing resonance as a template, to get the correct 
structure. There also exists a sample main program, 
main22.cc, that illustrates how you could combine 
a new process and a new resonance. 
 

       
There are three steps involved in implementing a new resonance: 

      1) providing the standard particle information, as already 
outlined above (id:all = ..., 
id:addChannel = ...), except that now branching 
ratios need not be specified, since they anyway will be overwritten 
by the dynamically calculated values. 

      2) writing the class that calculates the partial widths. 

      3) handing in a pointer to an instance of this class to PYTHIA. 

      We consider the latter two aspects in turn. 
 

      The ResonanceWidths Class
       
 
The resonance-width calculation has to be encoded in a new class. 
The relevant code could either be put before the main program in the 
same file, or be stored separately, e.g. in a matched pair 
of .h and .cc files. The latter may be more 
convenient, in particular if the calculations are lengthy, or 
likely to be used in many different runs, but of course requires 
that these additional files are correctly compiled and linked. 
 

       
The class has to be derived  from the ResonanceWidths 
base class. It can implement a number of methods. The constructor 
and the calcWidth ones are always needed, while others 
are for convenience. Much of the administrative machinery is handled 
by methods in the base class. 
 

      Thus, in particular, you must implement expressions for all 
possible final states, whether switched on in the current run or not, 
since all contribute to the total width needed in the denominator of 
the Breit-Wigner expression. Then the methods in the base class take 
care of selecting only allowed channels where that is required, and 
also of including effects of closed channels in secondary decays. 
These methods can be accessed indirectly via the 
res... 
methods of the normal 
particle database. 
 

       
A constructor for the derived class obviously must be available. 
Here you are quite free to allow a list of arguments, to set 
the parameters of your model. The constructor must call the 
base-class initBasic(idResIn) method, where the argument 
idResIn is the PDG-style identity code you have chosen 
for the new resonance. When you create several related resonances 
as instances of the same class you would naturally make 
idResIn an argument of the constructor; for the 
PYTHIA classes this convention is used also in cases when it is 
not needed. 

      The initBasic(...) method will 
hook up the ResonanceWidths object with the corresponding 
entry in the generic particle database, i.e. with the normal particle 
information you set up in point 1) above. It will store, in base-class 
member variables, a number of quantities that you later may find useful: 

      idRes : the identity code you provide; 

      hasAntiRes : whether there is an antiparticle; 

      mRes : resonance mass; 

      GammaRes resonance width; 

      m2Res : the squared mass; 

      GamMRat : the ratio of width to mass. 
 

       
A destructor is only needed if you plan to delete the resonance 
before the natural end of the run, and require some special behaviour 
at that point. If you call such a destructor you will leave a pointer 
dangling inside the Pythia object you gave it in to, 
if that still exists. 
 
 
is called once during initialization, and can then be used to set up 
further parameters specific to this particle species, such as couplings, 
and perform calculations that need not be repeated for each new event, 
thereby saving time. This method needs not be implemented. 
 
 
 
is called once a mass has been chosen for the resonance, but before 
a specific final state is considered. This routine can therefore 
be used to perform calculations that otherwise might have to be repeated 
over and over again in calcWidth below. It is optional 
whether you want to use this method, however, or put 
everything in calcWidth(). 

      The optional argument will have the value true when 
the resonance is initialized, and then be false throughout 
the event generation, should you wish to make a distinction. 
In PYTHIA such a distinction is made for gamma^*/Z^0 and 
gamma^*/Z^0/Z'^0, owing to the necessity of a special 
description of interference effects, but not for other resonances. 

      In addition to the base-class member variables already described 
above, mHat contains the current mass of the resonance. 
At initialization this agrees with the nominal mass mRes, 
but during the run it will not (in general). 
       
 
 
is the key method for width calculations and returns a partial width 
value, as further described below. It is called for a specific 
final state, typically in a loop over all allowed final states, 
subsequent to the calcPreFac(...) call above. 
Information on the final state is stored in a number of base-class 
variables, for you to use in your calculations: 

      iChannel : the channel number in the list of 
possible decay channels; 

      mult : the number of decay products; 

      id1, id2, id3 : the identity code of up to the first 
three decay products, arranged in descending order of the absolute value 
of the identity code; 

      id1Abs, id2Abs, id3Abs : the absolute value of the 
above three identity codes; 

      mHat : the current resonance mass, which is the same 
as in the latest calcPreFac(...) call; 

      mf1, mf2, mf3 : masses of the above decay products; 

      mr1, mr2, mr3 : squared ratio of the product masses 
to the resonance mass; 

      ps : is only meaningful for two-body decays, where it 
gives the phase-space factor 
ps = sqrt( (1. - mr1 - mr2)^2 - 4. * mr1 * mr2 ); 

      In two-body decays the third slot is zero for the above properties. 
Should there be more than three particles in the decay, you would have 
to take care of the subsequent products yourself, e.g. using 

      particlePtr->decay[iChannel].product(j); 

      to extract the j'th decay products (with 
j = 0 for the first, etc.). Currently we are not aware 
of any such examples. 

      The base class also contains methods for alpha_em and 
alpha_strong evaluation, and can access many standard-model 
couplings; see the existing code for examples. 

      The result of your calculation should be stored in 

      widNow : the partial width of the current channel, 
expressed in GeV. 
       
 
 
is not normally used. In PYTHIA the only exception is Higgs decays, 
where it is used to define the width (except for colour factors) 
associated with a specific incoming/outgoing state. It allows the 
results of some loop expressions to be pretabulated. 
 
 
 
can normally be left dummy (and then always returns true) but 
can optionally be used to determine whether to force dynamical width 
calculation to be switched off (return false). 
An example is provided by the 
SUSYResonanceWidths class, in which the implementation of 
this method checks for the existence of SLHA decay tables for the 
particular resonance in question, and checks if those tables should be 
given precedence over the internal width calculation. 
 
 
 
can normally be left dummy, but for advanced implementations it 
provides a possibility to initialize data members of the derived class 
at a very early stage during initialization, before any of the other 
members are called. An example is 
provided by the SUSYResonanceWidths class, in which 
an internal pointer to a derived Couplings class must be 
(re)set before any of the other methods are used. A return value of 
false can be used to signal that this 
initialization step failed. 
 
 

      Access to resonance widths
       
 
Once you have implemented a class, it is straightforward to 
make use of it in a run. Assume you have written a new class 
MyResonance, which inherits from 
ResonanceWidths. You then create an instance of 
this class and hand it in to a pythia object with 

       
      ResonanceWidths* myResonance = new MyResonance(); 
      pythia.setResonancePtr( myResonance); 

       
If you have several resonances you can repeat the procedure any number 
of times. When pythia.init(...) is called these resonances 
are initialized along with all the internal resonances, and treated in 
exactly the same manner. See also the Program 
Flow 
description. 
 

       
If the code should be of good quality and general usefulness, 
it would be simple to include it as a permanently available process 
in the standard program distribution. The final step of that integration 
ought to be left for the PYTHIA authors, but basically all that is 
needed is to add one line in 
ParticleData::initResonances, where one creates an 
instance of the resonance in the same way as for the resonances already 
there. In addition, the particle data and decay table for the new 
resonance has to be added to the permanent 
particle database, and the code itself 
to include/ResonanceWidths.h and 
src/ResonanceWidths.cc. 
 
 
 
 
pythia8-8.1.86.orig/include/0000755000175000017500000000000012357553763014002 5ustar  sunsunpythia8-8.1.86.orig/include/Pythia8/0000755000175000017500000000000012357054745015324 5ustar  sunsunpythia8-8.1.86.orig/include/Pythia8/MultipartonInteractions.h0000644000175000017500000002671512357054734022407 0ustar  sunsun// MultipartonInteractions.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the main classes for multiparton interactions physics.
// SigmaMultiparton stores allowed processes by in-flavour combination.
// MultipartonInteractions: generates multiparton parton-parton interactions.

#ifndef Pythia8_MultipartonInteractions_H
#define Pythia8_MultipartonInteractions_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/SigmaProcess.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/UserHooks.h"

namespace Pythia8 {
 
//==========================================================================

// SigmaMultiparton is a helper class to MultipartonInteractions.
// It packs pointers to the allowed processes for different
// flavour combinations and levels of ambition.

class SigmaMultiparton {

public:

  // Constructor.
  SigmaMultiparton() {}
  
  // Destructor.
  ~SigmaMultiparton() {
    for (int i = 0; i < int(sigmaT.size()); ++i) delete sigmaT[i];
    for (int i = 0; i < int(sigmaU.size()); ++i) delete sigmaU[i];}

  // Initialize list of processes.
  bool init(int inState, int processLevel, Info* infoPtr,
    Settings* settingsPtr, ParticleData* particleDataPtr, Rndm* rndmPtrIn,
    BeamParticle* beamAPtr, BeamParticle* beamBPtr, Couplings* couplingsPtr);

  // Calculate cross section summed over possibilities.
  double sigma( int id1, int id2, double x1, double x2, double sHat,
    double tHat, double uHat, double alpS, double alpEM,
    bool restore = false, bool pickOtherIn = false);

  // Return whether the other, rare processes were selected.
  bool pickedOther() {return pickOther;}

  // Return one subprocess, picked according to relative cross sections.
  SigmaProcess* sigmaSel();
  bool swapTU() {return pickedU;}

  // Return code or name of a specified process, for statistics table.
  int    nProc() const {return nChan;}
  int    codeProc(int iProc) const {return sigmaT[iProc]->code();}
  string nameProc(int iProc) const {return sigmaT[iProc]->name();}

private:

  // Constants: could only be changed in the code itself.
  static const double MASSMARGIN, OTHERFRAC;

  // Number of processes. Some use massive matrix elements.
  int            nChan;
  vector   needMasses;
  vector m3Fix, m4Fix, sHatMin;

  // Vector of process list, one for t-channel and one for u-channel.
  vector sigmaT, sigmaU;

  // Values of cross sections in process list above.
  vector sigmaTval, sigmaUval;
  double         sigmaTsum, sigmaUsum;
  bool           pickOther, pickedU;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;
  
};
 
//==========================================================================

// The MultipartonInteractions class contains the main methods for the
// generation of multiparton parton-parton interactions in hadronic collisions.

class MultipartonInteractions {

public:

  // Constructor.
  MultipartonInteractions() : bIsSet(false) {}

  // Initialize the generation process for given beams.
  bool init( bool doMPIinit, int iDiffSysIn, Info* infoPtrIn,
    Settings& settings, ParticleData* particleDataPtr, Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    Couplings* couplingsPtrIn, PartonSystems* partonSystemsPtrIn,
    SigmaTotal* sigmaTotPtrIn, UserHooks* userHooksPtrIn,
    ostream& os = cout);

  // Reset impact parameter choice and update the CM energy.
  void reset();

  // Select first = hardest pT in nondiffractive process.
  void pTfirst();

  // Set up kinematics for first = hardest pT in nondiffractive process.
  void setupFirstSys( Event& process);

  // Find whether to limit maximum scale of emissions.
  bool limitPTmax( Event& event);

  // Prepare system for evolution.
  void prepare(Event& event, double pTscale = 1000.) {
    if (!bSetInFirst) overlapNext(event, pTscale); }

  // Select next pT in downwards evolution.
  double pTnext( double pTbegAll, double pTendAll, Event& event);

  // Set up kinematics of acceptable interaction.
  bool scatter( Event& event);

  // Set "empty" values to avoid query of undefined quantities.
  void setEmpty() {pT2Ren = alpS = alpEM = x1 = x2 = pT2Fac
    = xPDF1now = xPDF2now = 0.; bIsSet = false;}

  // Get some information on current interaction.
  double Q2Ren()      const {return pT2Ren;}
  double alphaSH()    const {return alpS;}
  double alphaEMH()   const {return alpEM;}
  double x1H()        const {return x1;}
  double x2H()        const {return x2;}
  double Q2Fac()      const {return pT2Fac;}
  double pdf1()       const {return xPDF1now;}
  double pdf2()       const {return xPDF2now;}
  double bMPI()       const {return (bIsSet) ? bNow / bAvg : 0.;}
  double enhanceMPI() const {return (bIsSet) ? enhanceB / zeroIntCorr : 1.;}

  // For x-dependent matter profile, return incoming valence/sea
  // decision from trial interactions.
  int    getVSC1()   const {return vsc1;}
  int    getVSC2()   const {return vsc2;}

  // Update and print statistics on number of processes.
  // Note: currently only valid for nondiffractive systems, not diffraction??
  void accumulate() { int iBeg = (infoPtr->isNonDiffractive()) ? 0 : 1;
    for (int i = iBeg; i < infoPtr->nMPI(); ++i)
    ++nGen[ infoPtr->codeMPI(i) ];}
  void statistics(bool resetStat = false, ostream& os = cout);
  void resetStatistics() { for ( map::iterator iter = nGen.begin();
    iter != nGen.end(); ++iter) iter->second = 0; }
  
private:

  // Constants: could only be changed in the code itself.
  static const bool   SHIFTFACSCALE, PREPICKRESCATTER;
  static const double SIGMAFUDGE, RPT20, PT0STEP, SIGMASTEP, PT0MIN,
                      EXPPOWMIN, PROBATLOWB, BSTEP, BMAX, EXPMAX,
                      KCONVERGE, CONVERT2MB, ROOTMIN, ECMDEV, WTACCWARN;

  // Initialization data, read from Settings.
  bool   allowRescatter, allowDoubleRes, canVetoMPI;
  int    pTmaxMatch, alphaSorder, alphaEMorder, alphaSnfmax, bProfile,
         processLevel, bSelScale, rescatterMode, nQuarkIn, nSample,
         enhanceScreening;
  double alphaSvalue, Kfactor, pT0Ref, ecmRef, ecmPow, pTmin, coreRadius,
         coreFraction, expPow, ySepResc, deltaYResc, sigmaPomP, mPomP, pPomP,
         mMaxPertDiff, mMinPertDiff;

  // x-dependent matter profile:
  // Constants.
  static const int    XDEP_BBIN;
  static const double XDEP_A0, XDEP_A1, XDEP_BSTEP, XDEP_BSTEPINC,
                      XDEP_CUTOFF, XDEP_WARN, XDEP_SMB2FM;

  // Table of Int( dSigma/dX * O(b, X), dX ) in bins of b for fast
  // integration. Only needed during initialisation.
  vector  sigmaIntWgt, sigmaSumWgt;

  // a1:             value of a1 constant, taken from settings database.
  // a0now (a02now): tuned value of a0 (squared value).
  // bstepNow:       current size of bins in b.
  // a2max:          given an xMin, a maximal (squared) value of the
  //                 width, to be used in overestimate Omax(b).
  // enhanceBmax,    retain enhanceB as enhancement factor for the hardest
  // enhanceBnow:    interaction. Use enhanceBmax as overestimate for fastPT2,
  //                 and enhanceBnow to store the value for the current
  //                 interaction.
  double a1, a0now, a02now, bstepNow, a2max, b2now, enhanceBmax, enhanceBnow;

  // Storage for trial interactions.
  int    id1Save, id2Save;
  double pT2Save, x1Save, x2Save, sHatSave, tHatSave, uHatSave,
         alpSsave, alpEMsave, pT2FacSave, pT2RenSave, xPDF1nowSave,
         xPDF2nowSave;
  SigmaProcess *dSigmaDtSelSave;

  // vsc1, vsc2:     for minimum-bias events with trial interaction, store
  //                 decision on whether hard interaction was valence or sea.
  int    vsc1, vsc2;

  // Other initialization data.
  bool   hasBaryonBeams, hasLowPow, globalRecoilFSR;
  int    iDiffSys, nMaxGlobalRecoilFSR;
  double eCM, sCM, pT0, pT20, pT2min, pTmax, pT2max, pT20R, pT20minR,
         pT20maxR, pT20min0maxR, pT2maxmin, sigmaND, pT4dSigmaMax,
         pT4dProbMax, dSigmaApprox, sigmaInt, sudExpPT[101],
         zeroIntCorr, normOverlap, nAvg, kNow, normPi, bAvg, bDiv,
         probLowB, radius2B, radius2C, fracA, fracB, fracC, fracAhigh,
         fracBhigh, fracChigh, fracABChigh, expRev, cDiv, cMax;

  // Properties specific to current system.
  bool   bIsSet, bSetInFirst, isAtLowB, pickOtherSel;
  int    id1, id2, i1Sel, i2Sel, id1Sel, id2Sel;
  double bNow, enhanceB, pT2, pT2shift, pT2Ren, pT2Fac, x1, x2, xT, xT2,
         tau, y, sHat, tHat, uHat, alpS, alpEM, xPDF1now, xPDF2now,
         dSigmaSum, x1Sel, x2Sel, sHatSel, tHatSel, uHatSel;

  // Stored values for mass interpolation for diffractive systems.
  int    nStep, iStepFrom, iStepTo;
  double eCMsave, eStepSize, eStepSave, eStepFrom, eStepTo, pT0Save[5],
         pT4dSigmaMaxSave[5], pT4dProbMaxSave[5], sigmaIntSave[5],
         sudExpPTSave[5][101], zeroIntCorrSave[5], normOverlapSave[5],
         kNowSave[5], bAvgSave[5], bDivSave[5], probLowBSave[5],
         fracAhighSave[5], fracBhighSave[5], fracChighSave[5],
         fracABChighSave[5], cDivSave[5], cMaxSave[5];

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointers to the two incoming beams.
  BeamParticle*  beamAPtr;
  BeamParticle*  beamBPtr;

  // Pointers to Standard Model couplings.
  Couplings*     couplingsPtr;

  // Pointer to information on subcollision parton locations.
  PartonSystems* partonSystemsPtr;

  // Pointer to total cross section parametrization.
  SigmaTotal*    sigmaTotPtr;

  // Pointer to user hooks.
  UserHooks*     userHooksPtr;

  // Collections of parton-level 2 -> 2 cross sections. Selected one.
  SigmaMultiparton  sigma2gg, sigma2qg, sigma2qqbarSame, sigma2qq;
  SigmaMultiparton* sigma2Sel;
  SigmaProcess*  dSigmaDtSel;

  // Statistics on generated 2 -> 2 processes.
  map  nGen;

  // alphaStrong and alphaEM calculations.
  AlphaStrong    alphaS;
  AlphaEM        alphaEM;

  // Scattered partons.
  vector    scatteredA, scatteredB;

  // Determine constant in d(Prob)/d(pT2) < const / (pT2 + r * pT20)^2.
  void upperEnvelope();

  // Integrate the parton-parton interaction cross section.
  void jetCrossSection();

  // Evaluate "Sudakov form factor" for not having a harder interaction.
  double sudakov(double pT2sud, double enhance = 1.);

  // Do a quick evolution towards the next smaller pT.
  double fastPT2( double pT2beg);

  // Calculate the actual cross section, either for the first interaction
  // (including at initialization) or for any subsequent in the sequence.
  double sigmaPT2scatter(bool isFirst = false);

  // Find the partons that may rescatter.
  void findScatteredPartons( Event& event);

  // Calculate the actual cross section for a rescattering.
  double sigmaPT2rescatter( Event& event);

  // Calculate factor relating matter overlap and interaction rate.
  void overlapInit();

  // Pick impact parameter and interaction rate enhancement,
  // either before the first interaction (for nondiffractive) or after it.
  void overlapFirst();
  void overlapNext(Event& event, double pTscale);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_MultipartonInteractions_H
pythia8-8.1.86.orig/include/Pythia8/Merging.h0000644000175000017500000000651012357054734017065 0ustar  sunsun// Merging.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file is written by Stefan Prestel.
// Merging: Wpapper class to interface matrix element merging schemes with
//          Pythia

#ifndef Pythia8_Merging_H
#define Pythia8_Merging_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/PartonLevel.h"
#include "Pythia8/MergingHooks.h"
#include "Pythia8/History.h"

namespace Pythia8 {

//==========================================================================

// Merging is a wrapper class for the interface of matrix element merging and
// Pythia8.

class Merging {

public:

  // Constructor.
  Merging() { settingsPtr = 0; infoPtr = 0; particleDataPtr = 0;
    rndmPtr = 0; beamAPtr = 0; beamBPtr = 0; trialPartonLevelPtr = 0;
    mergingHooksPtr = 0; }

  // Make Pythia class friend
  friend class Pythia;

  // Destructor.
  ~Merging(){}

protected:

  //----------------------------------------------------------------------//
  // The members
  //----------------------------------------------------------------------//


  // Settings: databases of flags/modes/parms/words to control run.
  Settings*      settingsPtr;

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

  // Pointer to random number generator.
  Rndm* rndmPtr;

  // Pointer to trial PartonLevel object
  PartonLevel* trialPartonLevelPtr;

  // Pointer to trial MergingHooks object
  MergingHooks* mergingHooksPtr;

  // Pointers to beam particles.
  BeamParticle* beamAPtr;
  BeamParticle* beamBPtr;

  // Minimal value found for the merging scale in events.
  double tmsNowMin;
  static const double TMSMISMATCH;

  // Initialisation function for internal use inside Pythia source code
  void init( Settings* settingsPtrIn, Info* infoPtrIn,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    MergingHooks* mergingHooksPtrIn, PartonLevel* trialPartonLevelPtrIn );

  // Function to print statistics.
  void statistics(ostream& os = cout);

  //----------------------------------------------------------------------//
  // Functions that implement matrix element merging.
  //----------------------------------------------------------------------//

  // Function to steer different merging prescriptions.
  int mergeProcess( Event& process);

  // Function to perform CKKW-L merging on the event.
  int mergeProcessCKKWL( Event& process);

  // Function to perform UMEPS merging on the event.
  int mergeProcessUMEPS( Event& process);

  // Function to perform NL3 NLO merging on the event.
  int mergeProcessNL3( Event& process);

  // Function to perform UNLOPS merging on the event.
  int mergeProcessUNLOPS( Event& process);

  // Function to apply the merging scale cut on an input event.
  bool cutOnProcess( Event& process);

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_Merging_H
pythia8-8.1.86.orig/include/Pythia8/ResonanceDecays.h0000644000175000017500000000441712357054742020546 0ustar  sunsun// ResonanceDecays.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the main class for performing resonance decays.
// ResonanceDecays: handles the sequential decay of resonances in process.

#ifndef Pythia8_ResonanceDecays_H
#define Pythia8_ResonanceDecays_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/ResonanceWidths.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
  
//==========================================================================

// The ResonanceDecays class handles the sequential decay of resonances
// that are part of the hard process (t, W, Z, H, SUSY,...).

class ResonanceDecays {

public:

  // Constructor.
  ResonanceDecays() {}

  // Store pointers to Info and Rndm for error messages and random numbers.
  void init(Info* infoPtrIn,  ParticleData* particleDataPtrIn,
    Rndm* rndmPtrIn) {infoPtr = infoPtrIn;
    particleDataPtr = particleDataPtrIn; rndmPtr = rndmPtrIn;}
 
  // Generate the next decay sequence.
  bool next( Event& process, int iDecNow = 0);

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRYCHANNEL, NTRYMASSES;
  static const double MSAFETY, WIDTHCUT, TINY, TINYBWRANGE,
                      WTCORRECTION[11];

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Select masses of decay products.
  bool pickMasses();

  // Select colours of decay products.
  bool pickColours(int iDec, Event& process);

  // Select kinematics isotropic in phase space.
  bool pickKinematics();

  // Flavour, colour and momentum information.
  int            id0, mult;
  double         m0;
  vector    idProd, cols, acols;
  vector mProd;
  vector   pProd;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_ResonanceDecays_H
pythia8-8.1.86.orig/include/Pythia8/Event.h0000644000175000017500000006324512357054733016565 0ustar  sunsun// Event.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the Particle and Event classes.
// Particle: information on an instance of a particle.
// Junction: information on a junction between three colours.
// Event: list of particles in the current event.

#ifndef Pythia8_Event_H
#define Pythia8_Event_H

#include "Pythia8/Basics.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================

// Forward references to ParticleDataEntry and ResonanceWidths classes.
class ParticleDataEntry;
class ResonanceWidths;
class Event;

//==========================================================================

// Particle class.
// This class holds info on a particle in general.

class Particle {

public:

  // Constructors.
  Particle() : idSave(0), statusSave(0), mother1Save(0), mother2Save(0),
    daughter1Save(0), daughter2Save(0), colSave(0), acolSave(0),
    pSave(Vec4(0.,0.,0.,0.)), mSave(0.), scaleSave(0.), polSave(9.),
    hasVertexSave(false), vProdSave(Vec4(0.,0.,0.,0.)), tauSave(0.),
    pdePtr(0), evtPtr(0) { }
  Particle(int idIn, int statusIn = 0, int mother1In = 0,
    int mother2In = 0, int daughter1In = 0, int daughter2In = 0,
    int colIn = 0, int acolIn = 0, double pxIn = 0., double pyIn = 0.,
    double pzIn = 0., double eIn = 0., double mIn = 0.,
    double scaleIn = 0., double polIn = 9.)
    : idSave(idIn), statusSave(statusIn), mother1Save(mother1In),
    mother2Save(mother2In), daughter1Save(daughter1In),
    daughter2Save(daughter2In), colSave(colIn), acolSave(acolIn),
    pSave(Vec4(pxIn, pyIn, pzIn, eIn)), mSave(mIn), scaleSave(scaleIn),
    polSave(polIn), hasVertexSave(false), vProdSave(Vec4(0.,0.,0.,0.)),
    tauSave(0.), pdePtr(0), evtPtr(0) { }
  Particle(int idIn, int statusIn, int mother1In, int mother2In,
    int daughter1In, int daughter2In, int colIn, int acolIn,
    Vec4 pIn, double mIn = 0., double scaleIn = 0., double polIn = 9.)
    : idSave(idIn), statusSave(statusIn), mother1Save(mother1In),
    mother2Save(mother2In), daughter1Save(daughter1In),
    daughter2Save(daughter2In), colSave(colIn), acolSave(acolIn),
    pSave(pIn), mSave(mIn), scaleSave(scaleIn), polSave(polIn),
    hasVertexSave(false), vProdSave(Vec4(0.,0.,0.,0.)), tauSave(0.),
    pdePtr(0), evtPtr(0) { }
  Particle(const Particle& pt) : idSave(pt.idSave),
    statusSave(pt.statusSave), mother1Save(pt.mother1Save),
    mother2Save(pt.mother2Save), daughter1Save(pt.daughter1Save),
    daughter2Save(pt.daughter2Save), colSave(pt.colSave),
    acolSave(pt.acolSave), pSave(pt.pSave), mSave(pt.mSave),
    scaleSave(pt.scaleSave), polSave(pt.polSave),
    hasVertexSave(pt.hasVertexSave), vProdSave(pt.vProdSave),
    tauSave(pt.tauSave), pdePtr(pt.pdePtr), evtPtr(pt.evtPtr) { }
  Particle& operator=(const Particle& pt) {if (this != &pt) {
    idSave = pt.idSave; statusSave = pt.statusSave;
    mother1Save = pt.mother1Save; mother2Save = pt.mother2Save;
    daughter1Save = pt.daughter1Save; daughter2Save = pt.daughter2Save;
    colSave = pt.colSave; acolSave = pt.acolSave; pSave = pt.pSave;
    mSave = pt.mSave; scaleSave = pt.scaleSave; polSave = pt.polSave;
    hasVertexSave = pt.hasVertexSave; vProdSave = pt.vProdSave;
    tauSave = pt.tauSave; pdePtr = pt.pdePtr; evtPtr = pt.evtPtr; }
    return *this; }

  // Member functions to set the Event and ParticleDataEntry pointers.
  void setEvtPtr(Event* evtPtrIn) { evtPtr = evtPtrIn; setPDEPtr();}
  void setPDEPtr(ParticleDataEntry* pdePtrIn = 0);
      
  // Member functions for input.
  void id(int idIn) {idSave = idIn; setPDEPtr();}
  void status(int statusIn) {statusSave = statusIn;}
  void statusPos() {statusSave = abs(statusSave);}
  void statusNeg() {statusSave = -abs(statusSave);}
  void statusCode(int statusIn) {statusSave =
    (statusSave > 0) ? abs(statusIn) : -abs(statusIn);}
  void mother1(int mother1In) {mother1Save = mother1In;}
  void mother2(int mother2In) {mother2Save = mother2In;}
  void mothers(int mother1In = 0, int mother2In = 0)
    {mother1Save = mother1In; mother2Save = mother2In;}
  void daughter1(int daughter1In) {daughter1Save = daughter1In;}
  void daughter2(int daughter2In) {daughter2Save = daughter2In;}
  void daughters(int daughter1In = 0, int daughter2In = 0)
    {daughter1Save = daughter1In; daughter2Save = daughter2In;}
  void col(int colIn) {colSave = colIn;}
  void acol(int acolIn) {acolSave = acolIn;}
  void cols(int colIn = 0,int acolIn = 0) {colSave = colIn;
    acolSave = acolIn;}
  void p(Vec4 pIn) {pSave = pIn;}
  void p(double pxIn, double pyIn, double pzIn, double eIn)
    {pSave.p(pxIn, pyIn, pzIn, eIn);}
  void px(double pxIn) {pSave.px(pxIn);}
  void py(double pyIn) {pSave.py(pyIn);}
  void pz(double pzIn) {pSave.pz(pzIn);}
  void e(double eIn) {pSave.e(eIn);}
  void m(double mIn) {mSave = mIn;}
  void scale(double scaleIn) {scaleSave = scaleIn;}
  void pol(double polIn) {polSave = polIn;}
  void vProd(Vec4 vProdIn) {vProdSave = vProdIn; hasVertexSave = true;}
  void vProd(double xProdIn, double yProdIn, double zProdIn, double tProdIn)
    {vProdSave.p(xProdIn, yProdIn, zProdIn, tProdIn); hasVertexSave = true;}
  void xProd(double xProdIn) {vProdSave.px(xProdIn); hasVertexSave = true;}
  void yProd(double yProdIn) {vProdSave.py(yProdIn); hasVertexSave = true;}
  void zProd(double zProdIn) {vProdSave.pz(zProdIn); hasVertexSave = true;}
  void tProd(double tProdIn) {vProdSave.e(tProdIn); hasVertexSave = true;}
  void tau(double tauIn) {tauSave = tauIn;}

  // Member functions for output.
  int    id()        const {return idSave;}
  int    status()    const {return statusSave;}
  int    mother1()   const {return mother1Save;}
  int    mother2()   const {return mother2Save;}
  int    daughter1() const {return daughter1Save;}
  int    daughter2() const {return daughter2Save;}
  int    col()       const {return colSave;}
  int    acol()      const {return acolSave;}
  Vec4   p()         const {return pSave;}
  double px()        const {return pSave.px();}
  double py()        const {return pSave.py();}
  double pz()        const {return pSave.pz();}
  double e()         const {return pSave.e();}
  double m()         const {return mSave;}
  double scale()     const {return scaleSave;}
  double pol()       const {return polSave;}
  bool   hasVertex() const {return hasVertexSave;}
  Vec4   vProd()     const {return vProdSave;}
  double xProd()     const {return vProdSave.px();}
  double yProd()     const {return vProdSave.py();}
  double zProd()     const {return vProdSave.pz();}
  double tProd()     const {return vProdSave.e();}
  double tau()       const {return tauSave;}

  // Member functions for output; derived int and bool quantities.
  int    idAbs()     const {return abs(idSave);}
  int    statusAbs() const {return abs(statusSave);}
  bool   isFinal()   const {return (statusSave > 0);}
  bool   isRescatteredIncoming() const {return
    (statusSave == -34 || statusSave == -45 ||
     statusSave == -46 || statusSave == -54);}

  // Member functions for output; derived double quantities.
  double m2()        const {return (mSave >= 0.) ?  mSave*mSave
                                                 : -mSave*mSave;}
  double mCalc()     const {return pSave.mCalc();}
  double m2Calc()    const {return pSave.m2Calc();}
  double eCalc()     const {return sqrt(abs(m2() + pSave.pAbs2()));}
  double pT()        const {return pSave.pT();}
  double pT2()       const {return pSave.pT2();}
  double mT()        const {double temp = m2() + pSave.pT2();
    return (temp >= 0.) ? sqrt(temp) : -sqrt(-temp);}
  double mT2()       const {return m2() + pSave.pT2();}
  double pAbs()      const {return pSave.pAbs();}
  double pAbs2()     const {return pSave.pAbs2();}
  double eT()        const {return pSave.eT();}
  double eT2()       const {return pSave.eT2();}
  double theta()     const {return pSave.theta();}
  double phi()       const {return pSave.phi();}
  double thetaXZ()   const {return pSave.thetaXZ();}
  double pPos()      const {return pSave.pPos();}
  double pNeg()      const {return pSave.pNeg();}
  double y()         const;
  double eta()       const;
  Vec4   vDec()      const {return (tauSave > 0. && mSave > 0.)
    ? vProdSave + tauSave * pSave / mSave : vProdSave;}
  double xDec()      const {return (tauSave > 0. && mSave > 0.)
    ? vProdSave.px() + tauSave * pSave.px() / mSave : vProdSave.px();}
  double yDec()      const {return (tauSave > 0. && mSave > 0.)
    ? vProdSave.py() + tauSave * pSave.py() / mSave : vProdSave.py();}
  double zDec()      const {return (tauSave > 0. && mSave > 0.)
    ? vProdSave.pz() + tauSave * pSave.pz() / mSave : vProdSave.pz();}
  double tDec()      const {return (tauSave > 0. && mSave > 0.)
    ? vProdSave.e()  + tauSave * pSave.e()  / mSave : vProdSave.e();}

  // Methods that can refer back to the event the particle belongs to.
  int index()        const;
  int statusHepMC()  const;
  int iTopCopy()     const;
  int iBotCopy()     const;
  int iTopCopyId()   const;
  int iBotCopyId()   const;
  vector motherList()   const;
  vector daughterList() const;
  vector sisterList(bool traceTopBot = false) const;
  bool isAncestor(int iAncestor) const;
  bool undoDecay();

  // Further output, based on a pointer to a ParticleDataEntry object.
  string name()      const {
    return (pdePtr != 0) ? pdePtr->name(idSave) : " ";}
  string nameWithStatus(int maxLen = 20) const;
  int    spinType()  const {
    return (pdePtr != 0) ? pdePtr->spinType() : 0;}
  int    chargeType() const {
    return (pdePtr != 0) ? pdePtr->chargeType(idSave) : 0;}
  double charge()    const {
    return (pdePtr != 0) ?  pdePtr->charge(idSave) : 0;}
  bool   isCharged() const {
    return (pdePtr != 0) ? (pdePtr->chargeType(idSave) != 0) : false;}
  bool   isNeutral() const {
    return (pdePtr != 0) ? (pdePtr->chargeType(idSave) == 0) : false;}
  int    colType()   const {
    return (pdePtr != 0) ? pdePtr->colType(idSave) : 0;}
  double m0()        const {
    return (pdePtr != 0) ? pdePtr->m0() : 0.;}
  double mWidth()    const {
    return (pdePtr != 0) ? pdePtr->mWidth() : 0.;}
  double mMin()      const {
    return (pdePtr != 0) ? pdePtr->mMin() : 0.;}
  double mMax()      const {
    return (pdePtr != 0) ? pdePtr->mMax() : 0.;}
  double mSel()      const {
    return (pdePtr != 0) ? pdePtr->mSel() : 0.;}
  double constituentMass() const {
    return (pdePtr != 0) ? pdePtr->constituentMass() : 0.;}
  double tau0()      const {
    return (pdePtr != 0) ? pdePtr->tau0() : 0.;}
  bool   mayDecay()  const {
    return (pdePtr != 0) ? pdePtr->mayDecay() : false;}
  bool   canDecay()  const {
    return (pdePtr != 0) ? pdePtr->canDecay() : false;}
  bool   doExternalDecay() const {
    return (pdePtr != 0) ? pdePtr->doExternalDecay() : false;}
  bool   isResonance() const {
    return (pdePtr != 0) ? pdePtr->isResonance() : false;}
  bool   isVisible() const {
    return (pdePtr != 0) ? pdePtr->isVisible() : false;}
  bool   isLepton()  const {
    return (pdePtr != 0) ? pdePtr->isLepton() : false;}
  bool   isQuark()   const {
    return (pdePtr != 0) ? pdePtr->isQuark() : false;}
  bool   isGluon()   const {
    return (pdePtr != 0) ? pdePtr->isGluon() : false;}
  bool   isDiquark()   const {
    return (pdePtr != 0) ? pdePtr->isDiquark() : false;}
  bool   isParton()   const {
    return (pdePtr != 0) ? pdePtr->isParton() : false;}
  bool   isHadron()  const {
    return (pdePtr != 0) ? pdePtr->isHadron() : false;}
  ParticleDataEntry& particleDataEntry() const {return *pdePtr;}

  // Member functions that perform operations.
  void rescale3(double fac) {pSave.rescale3(fac);}
  void rescale4(double fac) {pSave.rescale4(fac);}
  void rescale5(double fac) {pSave.rescale4(fac); mSave *= fac;}
  void rot(double thetaIn, double phiIn) {pSave.rot(thetaIn, phiIn);
    if (hasVertexSave) vProdSave.rot(thetaIn, phiIn);}
  void bst(double betaX, double betaY, double betaZ) {
    pSave.bst(betaX, betaY, betaZ);
    if (hasVertexSave) vProdSave.bst(betaX, betaY, betaZ);}
  void bst(double betaX, double betaY, double betaZ, double gamma) {
    pSave.bst(betaX, betaY, betaZ, gamma);
    if (hasVertexSave) vProdSave.bst(betaX, betaY, betaZ, gamma);}
  void bst(const Vec4& pBst) {pSave.bst(pBst);
    if (hasVertexSave) vProdSave.bst(pBst);}
  void bst(const Vec4& pBst, double mBst) {pSave.bst(pBst, mBst);
    if (hasVertexSave) vProdSave.bst(pBst, mBst);}
  void bstback(const Vec4& pBst) {pSave.bstback(pBst);
    if (hasVertexSave) vProdSave.bstback(pBst);}
  void bstback(const Vec4& pBst, double mBst) {pSave.bstback(pBst, mBst);
    if (hasVertexSave) vProdSave.bstback(pBst, mBst);}
  void rotbst(const RotBstMatrix& M) {pSave.rotbst(M);
    if (hasVertexSave) vProdSave.rotbst(M);}
  void offsetHistory( int minMother, int addMother, int minDaughter,
    int addDaughter);
  void offsetCol( int addCol);

private:

  // Constants: could only be changed in the code itself.
  static const double TINY;

  // Properties of the current particle.
  int    idSave, statusSave, mother1Save, mother2Save, daughter1Save,
         daughter2Save, colSave, acolSave;
  Vec4   pSave;
  double mSave, scaleSave, polSave;
  bool   hasVertexSave;
  Vec4   vProdSave;
  double tauSave;

  // Pointer to properties of the particle species.
  // Should no be saved in a persistent copy of the event record.
  // The //! below is ROOT notation that this member should not be saved.
  // Event::restorePtrs() can be called to restore the missing information.
  ParticleDataEntry* pdePtr;  //!

  // Pointer to the whole event record to which the particle belongs (if any).
  // As above it should not be saved.
  Event*             evtPtr;  //!

};

// Invariant mass of a pair and its square.
// (Not part of class proper, but tightly linked.)
double m(const Particle&, const Particle&);
double m2(const Particle&, const Particle&);

//==========================================================================

// The junction class stores what kind of junction it is, the colour indices
// of the legs at the junction and as far out as legs have been traced,
// and the status codes assigned for fragmentation of each leg.

class Junction {

public:

  // Constructors.
  Junction() : remainsSave(true), kindSave(0) {
    for (int j = 0; j < 3; ++j) {
    colSave[j] = 0; endColSave[j] = 0; statusSave[j] = 0; } }
  Junction( int kindIn, int col0In, int col1In, int col2In)
    : remainsSave(true), kindSave(kindIn) {colSave[0] = col0In;
    colSave[1] = col1In; colSave[2] = col2In;
    for (int j = 0; j < 3; ++j) {
    endColSave[j] = colSave[j]; statusSave[j] = 0; } }
  Junction(const Junction& ju) : remainsSave(ju.remainsSave),
    kindSave(ju.kindSave) { for (int j = 0; j < 3; ++j) {
    colSave[j] = ju.colSave[j]; endColSave[j] = ju.endColSave[j];
    statusSave[j] = ju.statusSave[j]; } }
  Junction& operator=(const Junction& ju) {if (this != &ju) {
    remainsSave = ju.remainsSave; kindSave =  ju.kindSave;
    for (int j = 0; j < 3; ++j) { colSave[j] = ju.colSave[j];
    endColSave[j] = ju.endColSave[j]; statusSave[j] = ju.statusSave[j]; } }
    return *this; }

  // Set values.
  void remains(bool remainsIn) {remainsSave = remainsIn;}
  void col(int j, int colIn) {colSave[j] = colIn; endColSave[j] = colIn;}
  void cols(int j, int colIn, int endColIn) {colSave[j] = colIn;
    endColSave[j] = endColIn;}
  void endCol(int j, int endColIn) {endColSave[j] = endColIn;}
  void status(int j, int statusIn) {statusSave[j] = statusIn;}

  // Read out value.
  bool   remains()     const {return remainsSave;}
  int    kind()        const {return kindSave;}
  int    col(int j)    const {return colSave[j];}
  int    endCol(int j) const {return endColSave[j];}
  int    status(int j) const {return statusSave[j];}
 
private:

  // Kind, positions of the three ends and their status codes.
  bool remainsSave;
  int kindSave, colSave[3], endColSave[3], statusSave[3];

};

//==========================================================================

// The Event class holds all info on the generated event.

class Event {
    
public:

  // Constructors.
  Event(int capacity = 100) : startColTag(100), maxColTag(100),
    savedSize(0), savedJunctionSize(0), scaleSave(0.), scaleSecondSave(0.),
    headerList("----------------------------------------"),
    particleDataPtr(0) { entry.reserve(capacity); }
  Event& operator=(const Event& oldEvent);
  Event(const Event& oldEvent) {*this = oldEvent;}

  // Initialize header for event listing, particle data table, and colour.
  void init( string headerIn = "", ParticleData* particleDataPtrIn = 0,
    int startColTagIn = 100) {
    headerList.replace(0, headerIn.length() + 2, headerIn + "  ");
     particleDataPtr = particleDataPtrIn; startColTag = startColTagIn;}

  // Clear event record.
  void clear() {entry.resize(0); maxColTag = startColTag; scaleSave = 0.;
    scaleSecondSave = 0.; clearJunctions();}

  // Clear event record, and set first particle empty.
  void reset() {clear(); append(90, -11, 0, 0, 0., 0., 0., 0., 0.);}

  // Overload index operator to access element of event record.
  Particle& operator[](int i) {return entry[i];}
  const Particle& operator[](int i) const {return entry[i];}

  // Implement standard references to elements in the particle array.
  Particle& front()   {return entry.front();}
  Particle& at(int i) {return entry.at(i);}
  Particle& back()    {return entry.back();}

  // Event record size.
  int size() const {return entry.size();}

  // Put a new particle at the end of the event record; return index.
  int append(Particle entryIn) {
    entry.push_back(entryIn); setEvtPtr();
    if (entryIn.col() > maxColTag) maxColTag = entryIn.col();
    if (entryIn.acol() > maxColTag) maxColTag = entryIn.acol();
    return entry.size() - 1;
  }
  int append(int id, int status, int mother1, int mother2, int daughter1,
    int daughter2, int col, int acol, double px, double py, double pz,
    double e, double m = 0., double scaleIn = 0., double polIn = 9.) {
    entry.push_back( Particle(id, status, mother1, mother2, daughter1,
    daughter2, col, acol, px, py, pz, e, m, scaleIn, polIn) ); setEvtPtr();
    if (col > maxColTag) maxColTag = col;
    if (acol > maxColTag) maxColTag = acol;
    return entry.size() - 1;
  }
  int append(int id, int status, int mother1, int mother2, int daughter1,
    int daughter2, int col, int acol, Vec4 p, double m = 0.,
    double scaleIn = 0., double polIn = 9.) {
    entry.push_back( Particle(id, status, mother1, mother2, daughter1,
    daughter2, col, acol, p, m, scaleIn, polIn) ); setEvtPtr();
    if (col > maxColTag) maxColTag = col;
    if (acol > maxColTag) maxColTag = acol;
    return entry.size() - 1;
  }

  // Brief versions of append: no mothers and no daughters.
  int append(int id, int status, int col, int acol, double px, double py,
    double pz, double e, double m = 0., double scaleIn = 0.,
    double polIn = 9.) { entry.push_back( Particle(id, status, 0, 0, 0, 0,
    col, acol, px, py, pz, e, m, scaleIn, polIn) ); setEvtPtr();
    if (col > maxColTag) maxColTag = col;
    if (acol > maxColTag) maxColTag = acol;
    return entry.size() - 1;
  }
  int append(int id, int status, int col, int acol, Vec4 p, double m = 0.,
    double scaleIn = 0., double polIn = 9.) {entry.push_back( Particle(id,
    status, 0, 0, 0, 0, col, acol, p, m, scaleIn, polIn) ); setEvtPtr();
    if (col > maxColTag) maxColTag = col;
    if (acol > maxColTag) maxColTag = acol;
    return entry.size() - 1;
  }

  // Set pointer to the event for a particle, by default latest one.
  void setEvtPtr(int iSet = -1) {if (iSet < 0) iSet = entry.size() - 1;
    entry[iSet].setEvtPtr( this);}

  // Add a copy of an existing particle at the end of the event record.
  int copy(int iCopy, int newStatus = 0);

  // List the particles in an event.
  void list() const;
  void list(ostream& os) const;
  void list(bool showScaleAndVertex, bool showMothersAndDaughters = false)
    const;
  void list(bool showScaleAndVertex, bool showMothersAndDaughters,
    ostream& os) const;

  // Remove last n entries.
  void popBack(int nRemove = 1) { if (nRemove ==1) entry.pop_back();
    else {int newSize = max( 0, size() - nRemove);
    entry.resize(newSize);} }

  // Remove entries from iFirst to iLast, including endpoints.
  void remove(int iFirst, int iLast) {
    if (iFirst < 0 || iLast >= int(entry.size()) || iLast < iFirst) return;
    entry.erase( entry.begin() + iFirst, entry.begin() + iLast + 1);
  }

  // Undo the decay of a single particle (where daughters well-defined).
  bool undoDecay(int i);

  // Restore all ParticleDataEntry* pointers in the Particle vector.
  // Useful when a persistent copy of the event record is read back in.
  void restorePtrs() { for (int i = 0; i < size(); ++i) setEvtPtr(i); }

  // Save or restore the size of the event record (throwing at the end).
  void saveSize() {savedSize = entry.size();}
  void restoreSize() {entry.resize(savedSize);}
  int  savedSizeValue() {return savedSize;}

  // Initialize and access colour tag information.
  void initColTag(int colTag = 0) {maxColTag = max( colTag,startColTag);}
  int lastColTag() const {return maxColTag;}
  int nextColTag() {return ++maxColTag;}

  // Access scale for which event as a whole is defined.
  void scale( double scaleIn) {scaleSave = scaleIn;}
  double scale() const {return scaleSave;}

  // Need a second scale if two hard interactions in event.
  void scaleSecond( double scaleSecondIn) {scaleSecondSave = scaleSecondIn;}
  double scaleSecond() const {return scaleSecondSave;}

  // Find complete list of daughters and mothers.
  vector motherList(int i) const;
  vector daughterList(int i) const;

  // Convert to HepMC status code conventions.
  int statusHepMC(int i) const;

  // Trace the first and last copy of one and the same particle.
  int iTopCopy(int i) const;
  int iBotCopy(int i) const;

  // Trace the first and last copy of a particle, using flavour match.
  int iTopCopyId(int i) const;
  int iBotCopyId(int i) const;

  // Find list of sisters, also tracking up and down identical copies.
  vector sisterList(int i) const;
  vector sisterListTopBot(int i, bool widenSearch = true) const;

  // Check whether two particles have a direct mother-daughter relation.
  bool isAncestor(int i, int iAncestor) const;

  // Member functions for rotations and boosts of an event.
  void rot(double theta, double phi)
    {for (int i = 0; i < size(); ++i) entry[i].rot(theta, phi);}
  void bst(double betaX, double betaY, double betaZ)
    {for (int i = 0; i < size(); ++i) entry[i].bst(betaX, betaY, betaZ);}
  void bst(double betaX, double betaY, double betaZ, double gamma)
    {for (int i = 0; i < size(); ++i) entry[i].bst(betaX, betaY, betaZ,
    gamma);}
  void bst(const Vec4& vec)
    {for (int i = 0; i < size(); ++i) entry[i].bst(vec);}
  void rotbst(const RotBstMatrix& M)
    {for (int i = 0; i < size(); ++i) entry[i].rotbst(M);}

  // Clear the list of junctions.
  void clearJunctions() {junction.resize(0);}
 
  // Add a junction to the list, study it or extra input.
  int appendJunction( int kind, int col0, int col1, int col2)
    { junction.push_back( Junction( kind, col0, col1, col2) );
    return junction.size() - 1;}
  int appendJunction(Junction junctionIn) {junction.push_back(junctionIn);
    return junction.size() - 1;}
  int sizeJunction() const {return junction.size();}
  bool remainsJunction(int i) const {return junction[i].remains();}
  void remainsJunction(int i, bool remainsIn) {junction[i].remains(remainsIn);}
  int kindJunction(int i) const {return junction[i].kind();}
  int colJunction( int i, int j) const {return junction[i].col(j);}
  void colJunction( int i, int j, int colIn) {junction[i].col(j, colIn);}
  int endColJunction( int i, int j) const {return junction[i].endCol(j);}
  void endColJunction( int i, int j, int endColIn)
    {junction[i].endCol(j, endColIn);}
  int statusJunction( int i, int j) const {return junction[i].status(j);}
  void statusJunction( int i, int j, int statusIn)
    {junction[i].status(j, statusIn);}
  Junction& getJunction(int i) {return junction[i];}
  const Junction& getJunction(int i) const {return junction[i];}
  void eraseJunction(int i);

  // Save or restore the size of the junction list (throwing at the end).
  void saveJunctionSize() {savedJunctionSize = junction.size();}
  void restoreJunctionSize() {junction.resize(savedJunctionSize);}

  // List any junctions in the event; for debug mainly.
  void listJunctions(ostream& os = cout) const;

  // Operator overloading allows to append one event to an existing one.
  // Warning: particles should be OK, but some other information unreliable.
  Event& operator+=(const Event& addEvent);

private:

  // The Particle class needs to access particle data.
  friend class Particle;

  // Constants: could only be changed in the code itself.
  static const int IPERLINE;

  // Initialization data, normally only set once.
  int startColTag;

  // The event: a vector containing all particles (entries).
  // The explicit use of Pythia8:: qualifier patches a limitation in ROOT.
  vector entry;

  // The list of junctions.
  // The explicit use of Pythia8:: qualifier patches a limitation in ROOT.
  vector junction;

  // The maximum colour tag of the event so far.
  int maxColTag;

  // Saved entry and junction list sizes, for simple restoration.
  int savedSize, savedJunctionSize;

  // The scale of the event; linear quantity in GeV.
  double scaleSave, scaleSecondSave;

  // Header specification in event listing (at most 40 characters wide).
  string headerList;

  // Pointer to the particle data table.
  // The //! below is ROOT notation that this member should not be saved.
  ParticleData* particleDataPtr;  //!
  
};

//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_Event_H
pythia8-8.1.86.orig/include/Pythia8/SigmaSUSY.h0000644000175000017500000005212012357054744017260 0ustar  sunsun// SigmaSUSY.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for Supersymmetric process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma2Process.

#ifndef Pythia8_SigmaSUSY_H
#define Pythia8_SigmaSUSY_H

#include "Pythia8/PhaseSpace.h"
#include "Pythia8/PythiaComplex.h"
#include "Pythia8/SigmaProcess.h"
#include "Pythia8/SusyCouplings.h"

namespace Pythia8 {
 
//==========================================================================

// An intermediate class for SUSY 2 -> 2 with nontrivial decay angles.

class Sigma2SUSY : public Sigma2Process {

public:

  // Constructor.
  Sigma2SUSY() { };

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

 };
 
//==========================================================================

// A derived class for q qbar -> neutralino_i neutralino_j.

class Sigma2qqbar2chi0chi0 : public Sigma2SUSY {

public:

  // Constructor.
  Sigma2qqbar2chi0chi0() {};

  // Constructor.
  Sigma2qqbar2chi0chi0(int id3chiIn, int id4chiIn, int codeIn) {

    // Save ordering indices and process code
    id3chi   = id3chiIn;
    id4chi   = id4chiIn;
    codeSave = codeIn;


    // Construct id codes from ordering indices.
    id3                  = 1000022;
    if (id3chi == 2) id3 = 1000023;
    if (id3chi == 3) id3 = 1000025;
    if (id3chi == 4) id3 = 1000035;
    if (id3chi == 5) id3 = 1000045;
    id4                  = 1000022;
    if (id4chi == 2) id4 = 1000023;
    if (id4chi == 3) id4 = 1000025;
    if (id4chi == 4) id4 = 1000035;
    if (id4chi == 5) id4 = 1000045;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  //  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ff";}
  virtual int    id3Mass() const {return abs(id3);}
  virtual int    id4Mass() const {return abs(id4);}
  virtual int    resonanceA() const {return 23;}
  virtual bool   isSUSY()  const {return true;}
  virtual double getSigma0() const {return sigma0;}

 protected:

  // Basic process information
  int     id3chi, id4chi, codeSave;
  string  nameSave;

  // Values stored for later use
  double  sigma0, ui, uj, ti, tj, openFracPair;
  complex propZ;

  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for q qbar -> neutralino_i chargino_j.

class Sigma2qqbar2charchi0 : public Sigma2qqbar2chi0chi0 {

public:

  // Constructor.
  Sigma2qqbar2charchi0(int id3chiIn, int id4chiIn, int codeIn) {
    
    // Save ordering indices and process code
    id3chi   = id3chiIn;
    id4chi   = id4chiIn;
    codeSave = codeIn;

    // Construct id codes from ordering indices.
    id3 = (abs(id3chi) == 2) ? 1000037 : 1000024;
    if (id3chi < 0)  id3 = -id3;

    id4                  = 1000022;
    if (id4chi == 2) id4 = 1000023;
    if (id4chi == 3) id4 = 1000025;
    if (id4chi == 4) id4 = 1000035;
    if (id4chi == 5) id4 = 1000045;

  }

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
  
  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  virtual int    resonanceA() const {return 24;}

protected :

  complex propW;

};

//==========================================================================

// A derived class for q qbar -> chargino+_i chargino-_j.

class Sigma2qqbar2charchar : public Sigma2qqbar2chi0chi0 {

public:

  // Constructor.
  Sigma2qqbar2charchar(int id3chiIn, int id4chiIn, int codeIn) {

    // Save ordering indices and process code
    id3chi   = id3chiIn;
    id4chi   = id4chiIn;
    codeSave = codeIn;

    // Construct id codes from ordering indices.
    id3 = (abs(id3chi) == 2) ?  1000037 :  1000024;
    id4 = (abs(id4chi) == 2) ? -1000037 : -1000024;

  }

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
  
  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

};

//==========================================================================

// A derived class for q g -> neutralino_i squark_j (and cc)

class Sigma2qg2chi0squark : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2chi0squark() { };

  // Constructor.
  Sigma2qg2chi0squark(int id3chiIn, int id4sqIn, bool isUp, int codeIn) {

    // Save ordering indices and process code
    id3chi   = id3chiIn;
    id4sq    = id4sqIn;
    codeSave = codeIn;

    // Construct id codes from ordering indices.
    id3                  = 1000022;
    if (id3chi == 2) id3 = 1000023;
    if (id3chi == 3) id3 = 1000025;
    if (id3chi == 4) id3 = 1000035;
    if (id3chi == 5) id3 = 1000045;
    id4                  = 1000001 + (isUp ? 1 : 0);
    if (id4sq  == 2) id4 = 1000003 + (isUp ? 1 : 0);
    if (id4sq  == 3) id4 = 1000005 + (isUp ? 1 : 0);
    if (id4sq  == 4) id4 = 2000001 + (isUp ? 1 : 0);
    if (id4sq  == 5) id4 = 2000003 + (isUp ? 1 : 0);
    if (id4sq  == 6) id4 = 2000005 + (isUp ? 1 : 0);

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return abs(id3);}
  virtual int    id4Mass() const {return abs(id4);}
  virtual bool   isSUSY()  const {return true;}

 protected:

  // Basic process information
  int     id3chi, id4sq, codeSave;
  string  nameSave;

  // Values stored for later use
  double  sigma0, ui, uj, ti, tj, openFracPair;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for q g -> chargino_i squark_j (incl cc)

class Sigma2qg2charsquark : public Sigma2qg2chi0squark {

public:

  // Constructor.
  Sigma2qg2charsquark(int id3chiIn, int id4sqIn, bool isUp, int codeIn) {

    // Save ordering indices and process code
    id3chi   = id3chiIn;
    id4sq    = id4sqIn;
    codeSave = codeIn;

    // Construct id codes from ordering indices.
    id3Sav                       = 1000024;
    if (abs(id3chi) == 2) id3Sav = 1000037;
    if (isUp)             id3Sav = -id3Sav;
    id4Sav                       = 1000001 + (isUp ? 1 : 0);
    if (id4sq  == 2) id4Sav      = 1000003 + (isUp ? 1 : 0);
    if (id4sq  == 3) id4Sav      = 1000005 + (isUp ? 1 : 0);
    if (id4sq  == 4) id4Sav      = 2000001 + (isUp ? 1 : 0);
    if (id4sq  == 5) id4Sav      = 2000003 + (isUp ? 1 : 0);
    if (id4sq  == 6) id4Sav      = 2000005 + (isUp ? 1 : 0);

    // Initial values, can be swapped to charge conjugates event by event.
    id3 = id3Sav;
    id4 = id4Sav;

  }

  // Initialize process.
  virtual void initProc();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

 private:

  // Basic process information
  int id3Sav, id4Sav;

};

//==========================================================================

// A derived class for q q' -> ~q_i ~q_j

class Sigma2qq2squarksquark : public Sigma2Process {

public:

  // Constructor.
  Sigma2qq2squarksquark() {}

  // Constructor.
  Sigma2qq2squarksquark(int id3In, int id4In, int codeIn) {

    // Save ordering indices and process code
    id3Sav = id3In;
    id4Sav = id4In;
    codeSave = codeIn;
    // Initial values (flipped for c.c.)
    id3    = id3Sav;
    id4    = id4Sav;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qq";}
  virtual int    id3Mass() const {return abs(id3Sav);}
  virtual int    id4Mass() const {return abs(id4Sav);}
  virtual bool   isSUSY()  const {return true;}

private:

  // Basic process information
  int     id3Sav, id4Sav, codeSave, iGen3, iGen4, nNeut;
  string  nameSave;
  bool    isUD;

  // Storage of mass squares
  double m2Glu;
  vector m2Neut, m2Char;

  // Flavor-independent prefactors.
  double sigmaChar, sigmaNeut, sigmaGlu;
  double sigmaCharNeut, sigmaCharGlu, sigmaNeutGlu;
  double openFracPair;

  // Point-by-point info
  double tGlu, uGlu;
  vector tNeut, uNeut, tChar, uChar;
  double sumCt, sumCu, sumNt, sumNu, sumGt, sumGu, sumInterference;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;
};

//==========================================================================

// A derived class for q qbar' -> ~q_i ~q*_j

class Sigma2qqbar2squarkantisquark : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2squarkantisquark() {}

  // Constructor.
  Sigma2qqbar2squarkantisquark(int id3In, int id4In, int codeIn) {

    // Save ordering indices and process code
    // (always store squark first, antisquark second)
    id3Sav = abs(id3In);
    id4Sav = -abs(id4In);
    codeSave = codeIn;
    // Initial values
    id3    = id3Sav;
    id4    = id4Sav;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qq";}
  virtual int    id3Mass() const {return abs(id3Sav);}
  virtual int    id4Mass() const {return abs(id4Sav);}
  virtual bool   isSUSY()  const {return true;}

private:

  // Basic process information
  int     id3Sav, id4Sav, codeSave, iGen3, iGen4, nNeut;
  string  nameSave;
  bool    isUD, isCC;

  // Storage of mass squares
  double m2Glu;
  vector m2Neut;

  // Flavor-independent prefactors: EW, strong, and interference
  double xW;
  double openFracPair;
  double sigmaEW, sigmaGlu, sigmaEWG;

  // Point-by-point info
  double tGlu, uGlu;
  vector tNeut, uNeut;
  complex propZW;
  double sumColS, sumColT, sumInterference;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for g g -> ~q ~q*

class Sigma2gg2squarkantisquark : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2squarkantisquark() {
  }

  // Constructor.
  Sigma2gg2squarkantisquark(int id34In, int codeIn) {

    // Save ordering indices and process code
    // (always store squark first, antisquark second)
    id3Sav = abs(id34In);
    id4Sav = -abs(id34In);
    codeSave = codeIn;
    // Initial values
    id3    = id3Sav;
    id4    = id4Sav;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return abs(id3Sav);}
  virtual int    id4Mass() const {return abs(id4Sav);}
  virtual bool   isSUSY()  const {return true;}

private:

  // Basic process information
  int     id3Sav, id4Sav, codeSave;
  string  nameSave;
  double sigma, m2Sq, openFracPair;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for q g -> ~q ~g

class Sigma2qg2squarkgluino : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2squarkgluino() {}

  // Constructor.
  Sigma2qg2squarkgluino(int id3In, int codeIn) {

    // Save ordering indices and process code
    id3Sav = abs(id3In);
    codeSave = codeIn;
    // Initial values
    id3    = id3Sav;
    id4    = 1000021;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return abs(id3Sav);}
  virtual int    id4Mass() const {return 1000021;}
  virtual bool   isSUSY()  const {return true;}

private:

  // Basic process information
  int     id3Sav, codeSave;
  string  nameSave;
  double sigmaA, sigmaB, comFacHat, m2Glu, m2Sq, openFracPair;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for g g -> gluino gluino.

class Sigma2gg2gluinogluino : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2gluinogluino() {
  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "g g -> gluino gluino";}
  virtual int    code()    const {return 1201;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return 1000021;}
  virtual int    id4Mass() const {return 1000021;}
  virtual bool   isSUSY()  const {return true;}

private:

  // Values stored for process type and colour flow selection.
  double sigTS, sigUS, sigTU, sigSum, sigma, openFracPair;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for q qbar -> gluino gluino.

class Sigma2qqbar2gluinogluino : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2gluinogluino() {

}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q qbar -> gluino gluino";}
  virtual int    code()    const {return 1202;}
  virtual string inFlux()  const {return "qq";}
  virtual int    id3Mass() const {return 1000021;}
  virtual int    id4Mass() const {return 1000021;}
  virtual bool   isSUSY()  const {return true;}

private:

  // Values stored for process type and colour flow selection.
  double openFracPair, s34Avg, sigS, tHG, uHG, tHG2, uHG2;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

class Sigma1qq2antisquark : public Sigma1Process {
public:

  // Constructor.
  Sigma1qq2antisquark() {}
  

  Sigma1qq2antisquark(int id3In) {

    idRes = id3In;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qq";}
  virtual bool   isSUSY()  const {return true;}
  virtual bool   isRPV()   const {return true;}
  virtual int    resonanceA() const {return idRes;}

private:

  // Values stored for process type and colour flow selection.
  double mRes, GammaRes, m2Res, sigBW, widthOut;
  int    codeSave, idRes;
  string nameSave;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};


//==========================================================================

// A derived class for q qbar -> neutralino_i gluino.

class Sigma2qqbar2chi0gluino : public Sigma2SUSY {

public:

  // Constructor.
  Sigma2qqbar2chi0gluino() {};

  // Constructor.
  Sigma2qqbar2chi0gluino(int id4chiIn, int codeIn) {

    // Save ordering indices and process code
    id3   = 1000021;
    id4chi   = id4chiIn;
    codeSave = codeIn;


    // Construct id codes from ordering indices.
    id4                  = 1000022;
    if (id4chi == 2) id4 = 1000023;
    if (id4chi == 3) id4 = 1000025;
    if (id4chi == 4) id4 = 1000035;
    if (id4chi == 5) id4 = 1000045;

  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  //  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ff";}
  virtual int    id3Mass() const {return abs(id3);}
  virtual int    id4Mass() const {return abs(id4);}
  virtual int    resonanceA() const {return 23;}
  virtual bool   isSUSY()  const {return true;}
  virtual double getSigma0() const {return sigma0;}

 protected:

  // Basic process information
  int     id3chi, id4chi, codeSave;
  string  nameSave;

  // Values stored for later use
  double  sigma0, ui, uj, ti, tj, openFracPair;

  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

// A derived class for q qbar -> neutralino_i chargino_j.

class Sigma2qqbar2chargluino : public Sigma2qqbar2chi0gluino {

public:

  // Constructor.
  Sigma2qqbar2chargluino(int id4chiIn, int codeIn) {
    
    // Save ordering indices and process code
    id3   = 1000021;
    id4chi   = id4chiIn;
    codeSave = codeIn;

    // Construct id codes from ordering indices.
    id4 = (abs(id4chi) == 2) ? 1000037 : 1000024;
    if (id4chi < 0)  id4 = -id4;
  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
  
  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  virtual int    resonanceA() const {return 24;}

protected :

  complex propW;

};

//==========================================================================

// A derived class for q qbar' -> ~q_i ~q*_j

class Sigma2qqbar2sleptonantislepton : public Sigma2qqbar2squarkantisquark {

public:

  // Constructor.
  Sigma2qqbar2sleptonantislepton() {}

  // Constructor.
  Sigma2qqbar2sleptonantislepton(int id3In, int id4In, int codeIn) {

    // Save ordering indices and process code
    // (always store squark first, antisquark second)
    id3Sav = abs(id3In);
    id4Sav = -abs(id4In);
    codeSave = codeIn;
    // Initial values
    id3    = id3Sav;
    id4    = id4Sav;
  }

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qq";}
  virtual int    id3Mass() const {return abs(id3Sav);}
  virtual int    id4Mass() const {return abs(id4Sav);}
  virtual bool   isSUSY()  const {return true;}

private:

  // Basic process information
  int     id3Sav, id4Sav, codeSave, iGen3, iGen4, nNeut;
  string  nameSave;
  bool    isUD;

  // Storage of mass squares
  vector m2Neut;

  // Flavor-independent prefactors: EW, strong, and interference
  double xW;
  double openFracPair;
  double sigmaEW;

  // Point-by-point info
  vector tNeut, uNeut;
  complex propZW;
  double sumColS, sumColT, sumInterference;

  //SUSY couplings
  CoupSUSY* coupSUSYPtr;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaSUSY_H

pythia8-8.1.86.orig/include/Pythia8/BoseEinstein.h0000644000175000017500000000523712357054733020070 0ustar  sunsun// Bose-Einstein.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the classes to handle Bose-Einstein effects.
// BoseEinsteinHadron: simple working container for particle momenta.
// BoseEinstein: main class to perform the task.

#ifndef Pythia8_BoseEinstein_H
#define Pythia8_BoseEinstein_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
 
//==========================================================================
 
// The BoseEinsteinHadron class is a simple container for studied hadrons.

class BoseEinsteinHadron {

public:

  // Constructors.
  BoseEinsteinHadron() : id(0), iPos(0), p(0.), pShift(0.), pComp(0.),
    m2(0.) {}
  BoseEinsteinHadron(int idIn,  int iPosIn, Vec4 pIn, double mIn) :
    id(idIn), iPos(iPosIn), p(pIn), pShift(0.), pComp(0.) {m2 = mIn*mIn;}

  // Information on hadron - all public.
  int    id, iPos;
  Vec4   p, pShift, pComp;
  double m2;

};

//==========================================================================

// The BoseEinstein class shifts the momenta of identical particles relative
// to each other, to simulate Bose-Einstein effects to some approximation.

class BoseEinstein {

public:

  // Constructor.
  BoseEinstein() {}

  // Find settings. Precalculate table used to find momentum shifts.
  bool init(Info* infoPtrIn, Settings& settings, ParticleData& particleData);

  // Perform Bose-Einstein corrections on an event.
  bool shiftEvent( Event& event);

private:

  // Constants: could only be changed in the code itself.
  static const int    IDHADRON[9], ITABLE[9], NCOMPSTEP;
  static const double STEPSIZE, Q2MIN, COMPRELERR, COMPFACMAX;

  // Initialization data, read from Settings.
  bool   doPion, doKaon, doEta;
  double lambda, QRef;

  // Pointer to various information on the generation.
  Info* infoPtr;

  // Table of momentum shifts for different hadron species.
  int    nStep[4], nStep3[4], nStored[10];
  double QRef2, QRef3, R2Ref, R2Ref2, R2Ref3, mHadron[9],
         mPair[4], m2Pair[4], deltaQ[4], deltaQ3[4], maxQ[4], maxQ3[4];
  double shift[4][200], shift3[4][200];

  // Vector of hadrons to study.
  vector hadronBE;

  // Calculate shift and (unnormalized) compensation for pair.
  void shiftPair(int i1, int i2, int iHad);
  
};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_BoseEinstein_H

pythia8-8.1.86.orig/include/Pythia8/SusyResonanceWidths.h0000644000175000017500000001475712357054745021477 0ustar  sunsun// SusyResonanceWidths.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand
// Main author of this file: N. Desai
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for resonance properties: dynamical widths etc.
// SusyResonanceWidths: base class for all SUSY resonances.

#ifndef Pythia8_SusyResonanceWidths_H
#define Pythia8_SusyResonanceWidths_H

#include "Pythia8/ResonanceWidths.h"
#include "Pythia8/SusyCouplings.h"

namespace Pythia8 {

class ParticleData;

//==========================================================================

class WidthFunction {

public:

  // Constructor and destructor.
  WidthFunction() { };
  virtual ~WidthFunction() { };

  void init( ParticleData* particleDataPtrIn, CoupSUSY* coupSUSYPtrIn);

  virtual void setInternal(int idResIn, int id1In, int id2In, int id3In,
    int idIntIn, int) {setInternal2(idResIn, id1In, id2In, id3In, idIntIn);}

  virtual double function(double m12);
  virtual double function(double m12, double m23);
  
protected:

  void setInternal2(int idResIn, int id1In, int id2In, int id3In, int idIntIn);

  ParticleData* particleDataPtr;
  CoupSUSY* coupSUSYPtr;
  int id1,id2,id3;

  // Variables for 3-body decays
  double mRes, mInt, gammaInt, m1,m2,m3;
  int idRes, idInt,iSq,iQ,iX;
  bool isSqDown;

};

//==========================================================================

class Psi: public WidthFunction {

public:

  // Destructor.
  virtual ~Psi() { };

  virtual void setInternal(int idResIn, int id1In, int id2In, int id3In,
    int idIntIn, int);
  virtual double function(double m12);

};

//==========================================================================

class Upsilon: public WidthFunction {

public:

  // Destructor.
  virtual ~Upsilon() { };

  virtual void setInternal(int idResIn, int id1In, int id2In, int id3In,
    int idIntIn, int idInt2);
  virtual double function(double m12);

protected:

  int iSq2, idInt2;
  double mInt2, gammaInt2;

};

//==========================================================================

class Phi: public WidthFunction {

public:

  // Destructor.
  virtual ~Phi() { };

  virtual void setInternal(int idResIn, int id1In, int id2In, int id3In,
    int idIntIn, int idInt2);
  virtual double function(double m12sqIn);

protected:

  int iSq2, idInt2;
  double mInt2, gammaInt2, m12sq;

private:

  double function2(double m23sq);
  double integrateGauss(double m23min, double m23max, double tol);

};

//==========================================================================

class SUSYResonanceWidths : public ResonanceWidths{

public:

  SUSYResonanceWidths() {}

  // Return particle type
  int typeNeut(int idPDG);
  int typeChar(int idPDG);

protected:

  // Virtual methods to handle model-specific (non-SM) part of initialization
  virtual bool initBSM();
  virtual bool allowCalc();

  // Gaussian integrator
  double integrateGauss( WidthFunction* widthFn, double, double, double);
  
  // SUSY couplings
  CoupSUSY* coupSUSYPtr;
  
  static const bool DBSUSY;

};

//==========================================================================

// The ResonanceSquark class handles the Squark resonances.

class ResonanceSquark : public SUSYResonanceWidths {

public:

  // Constructor.
  ResonanceSquark(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.

  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

  double s2W;

};
  
//==========================================================================

// The ResonanceGluino class handles the Gluino resonances.

class ResonanceGluino : public SUSYResonanceWidths {

public:

  // Constructor.
  ResonanceGluino(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);
  
};
  
//==========================================================================

// The ResonanceNeut class handles the Neutralino resonances.

class ResonanceNeut : public SUSYResonanceWidths {

public:

  // Constructor.
  ResonanceNeut(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double kinFac2;

  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

  double s2W;

  // Functions for 3-body decays
  Psi psi;
  Phi phi;
  Upsilon upsil;

};
  
//==========================================================================

// The ResonanceChar class handles the Chargino resonances.

class ResonanceChar : public SUSYResonanceWidths {

public:

  // Constructor.
  ResonanceChar(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double kinFac2;

  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

  double s2W;

  //Functions for 3-body decays
  Psi psi;
  Phi phi;
  Upsilon upsil;

};
  
//==========================================================================

// The ResonanceSlepton class handles the Slepton/Sneutrino resonances.

class ResonanceSlepton : public SUSYResonanceWidths {

public:

  // Constructor.
  ResonanceSlepton(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.

  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Calculate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

  double s2W;

};
  
//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_SusyResonanceWidths_H
pythia8-8.1.86.orig/include/Pythia8/LHAFortran.h0000644000175000017500000000731312357054734017437 0ustar  sunsun// LHAFortran.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for Fortran Les Houches Accord user process information.
// LHAupFortran: derived class with the HEPRUP and HEPEUP Fortran info.
// You are expected to supply the fillHepRup and fillHepEup methods.

#ifndef Pythia8_LHAFortran_H
#define Pythia8_LHAFortran_H

#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================

// Give access to the HEPRUP and HEPEUP Fortran commonblocks.

#ifdef _WIN32
  #define heprup_ HEPRUP
  #define hepeup_ HEPEUP
#endif

extern "C" {

  extern struct {
    int idbmup[2];
    double ebmup[2];
    int pdfgup[2], pdfsup[2], idwtup, nprup;
    double xsecup[100], xerrup[100], xmaxup[100];
    int lprup[100];
  } heprup_;

  extern struct {
    int nup, idprup;
    double xwgtup, scalup, aqedup, aqcdup;
    int idup[500], istup[500], mothup[500][2], icolup[500][2];
    double pup[500][5], vtimup[500],spinup[500];
  } hepeup_;

}

//==========================================================================

// A derived class with initialization information from the HEPRUP
// Fortran commonblock and event information from the HEPEUP one.

class LHAupFortran : public LHAup {

public:

  // Constructor.
  LHAupFortran() {}

  // Routine for doing the job of setting initialization info.
  bool setInit() {
    // Call the routine that does the job.
    if (!fillHepRup()) return false;
    // Store beam and strategy info.
    setBeamA(heprup_.idbmup[0], heprup_.ebmup[0], heprup_.pdfgup[0],
      heprup_.pdfsup[0]);
    setBeamB(heprup_.idbmup[1], heprup_.ebmup[1], heprup_.pdfgup[1],
      heprup_.pdfsup[1]);
    setStrategy(heprup_.idwtup);
    // Store process info. Protect against vanishing cross section.
    for (int ip = 0; ip < heprup_.nprup; ++ip) {
      double xsec = max( 1e-10, heprup_.xsecup[ip]);
      addProcess( heprup_.lprup[ip], xsec, heprup_.xerrup[ip],
        heprup_.xmaxup[ip] );
    }
    // Store the beam energies to calculate x values later.
    eBeamA = heprup_.ebmup[0];
    eBeamB = heprup_.ebmup[1];
    // Done.
    return true;
  }

  // Routine for doing the job of setting info on next event.
  bool setEvent(int idProcIn = 0, double = -1.) {
    // In some strategies the type of the next event has been set.
    hepeup_.idprup = idProcIn;
    // Call the routine that does the job.
    if (!fillHepEup()) return false;
    // Store process info.
    setProcess(hepeup_.idprup, hepeup_.xwgtup, hepeup_.scalup,
      hepeup_.aqedup, hepeup_.aqcdup);
    // Store particle info.
    for (int ip = 0; ip < hepeup_.nup; ++ip) addParticle(hepeup_.idup[ip],
      hepeup_.istup[ip], hepeup_.mothup[ip][0], hepeup_.mothup[ip][1],
      hepeup_.icolup[ip][0], hepeup_.icolup[ip][1], hepeup_.pup[ip][0],
      hepeup_.pup[ip][1], hepeup_.pup[ip][2], hepeup_.pup[ip][3],
      hepeup_.pup[ip][4], hepeup_.vtimup[ip], hepeup_.spinup[ip]) ;
    // Store x values (here E = pup[ip][3]), but note incomplete info.
    setPdf( hepeup_.idup[0], hepeup_.idup[1], hepeup_.pup[0][3]/eBeamA,
      hepeup_.pup[1][3]/eBeamB, 0., 0., 0., false);
    // Done.
    return true;
  }

private:

  // Save beam energies to calculate x values.
  double eBeamA, eBeamB;

  // User-written routine that does the intialization and fills heprup.
  bool fillHepRup();

  // User-written routine that does the event generation and fills hepeup.
  bool fillHepEup();

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_LHAFortran_H
pythia8-8.1.86.orig/include/Pythia8/SpaceShower.h0000644000175000017500000002237112357054744017724 0ustar  sunsun// SpaceShower.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the spacelike initial-state showers.
// SpaceDipoleEnd: radiating dipole end in ISR.
// SpaceShower: handles the showering description.

#ifndef Pythia8_SpaceShower_H
#define Pythia8_SpaceShower_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/UserHooks.h"
#include "Pythia8/MergingHooks.h"
#include "Pythia8/WeakShowerMEs.h"

namespace Pythia8 {
 
//==========================================================================

// Data on radiating dipole ends, only used inside SpaceShower.

class SpaceDipoleEnd {
  
public:

  // Constructor.
  SpaceDipoleEnd( int systemIn = 0, int sideIn = 0, int iRadiatorIn = 0,
    int iRecoilerIn = 0, double pTmaxIn = 0., int colTypeIn = 0,
    int chgTypeIn = 0, int weakTypeIn = 0,  int MEtypeIn = 0,
    bool normalRecoilIn = true, int weakPolIn = 0) :
    system(systemIn), side(sideIn), iRadiator(iRadiatorIn),
    iRecoiler(iRecoilerIn), pTmax(pTmaxIn), colType(colTypeIn),
    chgType(chgTypeIn), weakType(weakTypeIn), MEtype(MEtypeIn),
    normalRecoil(normalRecoilIn), weakPol(weakPolIn), nBranch(0),
    pT2Old(0.), zOld(0.5) { }
 
  // Store values for trial emission.
  void store( int idDaughterIn, int idMotherIn, int idSisterIn,
    double x1In, double x2In, double m2DipIn, double pT2In, double zIn,
    double xMoIn, double Q2In, double mSisterIn, double m2SisterIn,
    double pT2corrIn) {idDaughter = idDaughterIn; idMother = idMotherIn;
    idSister = idSisterIn; x1 = x1In; x2 = x2In; m2Dip = m2DipIn;
    pT2 = pT2In; z = zIn; xMo = xMoIn; Q2 = Q2In; mSister = mSisterIn;
    m2Sister = m2SisterIn; pT2corr = pT2corrIn;}
 
  // Basic properties related to evolution and matrix element corrections.
  int    system, side, iRadiator, iRecoiler;
  double pTmax;
  int    colType, chgType, weakType, MEtype;
  bool   normalRecoil;
  int    weakPol;

  // Properties specific to current trial emission.
  int    nBranch, idDaughter, idMother, idSister, iFinPol;
  double x1, x2, m2Dip, pT2, z, xMo, Q2, mSister, m2Sister, pT2corr,
         pT2Old, zOld, asymPol;

} ;
 
//==========================================================================

// The SpaceShower class does spacelike showers.

class SpaceShower {

public:

  // Constructor.
  SpaceShower() {beamOffset = 0;}

  // Destructor.
  virtual ~SpaceShower() {}

  // Initialize various pointers.
  // (Separated from rest of init since not virtual.)
  void initPtr(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn, CoupSM* coupSMPtrIn,
    PartonSystems* partonSystemsPtrIn, UserHooks* userHooksPtrIn,
    MergingHooks* mergingHooksPtrIn = 0) {
    infoPtr = infoPtrIn; settingsPtr = settingsPtrIn;
    particleDataPtr = particleDataPtrIn; rndmPtr = rndmPtrIn;
    coupSMPtr = coupSMPtrIn; partonSystemsPtr = partonSystemsPtrIn;
    userHooksPtr = userHooksPtrIn; mergingHooksPtr = mergingHooksPtrIn;}

  // Initialize generation. Possibility to force re-initialization by hand.
  virtual void init(BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn);

  // New beams possible for handling of hard diffraction. (Not virtual.)
  void reassignBeamPtrs( BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    int beamOffsetIn = 0) {beamAPtr = beamAPtrIn; beamBPtr = beamBPtrIn;
    beamOffset = beamOffsetIn;}

  // Find whether to limit maximum scale of emissions, and whether to dampen.
  virtual bool limitPTmax( Event& event, double Q2Fac = 0.,
    double Q2Ren = 0.);

  // Potential enhancement factor of pTmax scale for hardest emission.
  virtual double enhancePTmax() const {return pTmaxFudge;}

  // Prepare system for evolution; identify ME.
  virtual void prepare( int iSys, Event& event, bool limitPTmaxIn = true);

  // Update dipole list after each FSR emission.
  // Usage: update( iSys, event).
  virtual void update( int , Event&, bool hasWeakRad = false);

  // Select next pT in downwards evolution.
  virtual double pTnext( Event& event, double pTbegAll, double pTendAll,
    int nRadIn = -1);

  // ME corrections and kinematics that may give failure.
  virtual bool branch( Event& event);

  // Tell which system was the last processed one.
  int system() const {return iSysSel;}

  // Flag for failure in branch(...) that will force a retry of parton level.
  bool doRestart() const {return rescatterFail;}

  // Tell whether ISR has done a weak emission.
  bool getHasWeaklyRadiated() {return hasWeaklyRadiated;}
  
  // Print dipole list; for debug mainly.
  virtual void list(ostream& os = cout) const;

protected:

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the settings database.
  Settings*      settingsPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointer to Standard Model couplings.
  CoupSM*        coupSMPtr;

  // Pointers to the two incoming beams. Offset their location in event.
  BeamParticle*  beamAPtr;
  BeamParticle*  beamBPtr;
  int            beamOffset;

  // Pointer to information on subcollision parton locations.
  PartonSystems* partonSystemsPtr;

  // Pointer to userHooks object for user interaction with program.
  UserHooks*     userHooksPtr;

  // Weak matrix elements used for corrections both of ISR and FSR.
  WeakShowerMEs  weakShowerMEs;

  // Store properties to be returned by methods.
  bool   rescatterFail;
  int    iSysSel;
  double pTmaxFudge;

private:

  // Constants: could only be changed in the code itself.
  static const int    MAXLOOPTINYPDF;
  static const double MCMIN, MBMIN, CTHRESHOLD, BTHRESHOLD, EVALPDFSTEP, 
         TINYPDF, TINYKERNELPDF, TINYPT2, HEAVYPT2EVOL, HEAVYXEVOL, 
         EXTRASPACEQ, LAMBDA3MARGIN, PT2MINWARN, LEPTONXMIN, LEPTONXMAX, 
         LEPTONPT2MIN, LEPTONFUDGE, WEAKPSWEIGHT, HEADROOMQ2Q, HEADROOMQ2G, 
         HEADROOMG2G, HEADROOMG2Q;

  // Initialization data, normally only set once.
  bool   doQCDshower, doQEDshowerByQ, doQEDshowerByL, useSamePTasMPI,
         doWeakShower, doMEcorrections, doMEafterFirst, doPhiPolAsym,
         doPhiIntAsym, doRapidityOrder, useFixedFacScale, doSecondHard,
         canVetoEmission, alphaSuseCMW, singleWeakEmission, vetoWeakJets;
  int    pTmaxMatch, pTdampMatch, alphaSorder, alphaSnfmax, alphaEMorder,
         nQuarkIn, enhanceScreening, weakMode;
  double pTdampFudge, mc, mb, m2c, m2b, renormMultFac, factorMultFac,
         fixedFacScale2, alphaSvalue, alphaS2pi, Lambda3flav, Lambda4flav,
         Lambda5flav, Lambda3flav2, Lambda4flav2, Lambda5flav2, pT0Ref,
         ecmRef, ecmPow, pTmin, sCM, eCM, pT0, pTminChgQ, pTminChgL, pT20,
         pT2min, pT2minChgQ, pT2minChgL, pTweakCut, pT2weakCut, pTmaxFudgeMPI,
         strengthIntAsym, weakEnhancement, mZ, gammaZ, thetaWRat, mW, gammaW, 
         weakMaxWt, vetoWeakDeltaR2;

  // alphaStrong and alphaEM calculations.
  AlphaStrong alphaS;
  AlphaEM alphaEM;

  // Some current values.
  bool   sideA, dopTlimit1, dopTlimit2, dopTdamp, hasWeaklyRadiated, tChannel;
  int    iNow, iRec, idDaughter, nRad, idResFirst, idResSecond;
  double xDaughter, x1Now, x2Now, m2Dip, m2Rec, pT2damp, pTbegRef, pdfScale2;

  // List of emissions in different sides in different systems:
  vector nRadA,nRadB;

  // All dipole ends
  vector dipEnd;

  // Pointers to the current and hardest (so far) dipole ends.
  int iDipNow, iSysNow;
  SpaceDipoleEnd* dipEndNow;
  int iDipSel;
  SpaceDipoleEnd* dipEndSel;
 
  // Evolve a QCD dipole end.
  void pT2nextQCD( double pT2begDip, double pT2endDip);

  // Evolve a QCD dipole end near heavy quark threshold region.
  void pT2nearQCDthreshold( BeamParticle& beam, double m2Massive,
    double m2Threshold, double xMaxAbs, double zMinAbs,
    double zMaxMassive);

  // Evolve a QED dipole end.
  void pT2nextQED( double pT2begDip, double pT2endDip);

  // Evolve a Weak dipole end.
  void pT2nextWeak( double pT2begDip, double pT2endDip);

  // Find class of ME correction.
  int findMEtype( int iSys, Event& event, bool weakRadiation = false);

  // Provide maximum of expected ME weight; for preweighting of evolution.
  double calcMEmax( int MEtype, int idMother, int idDaughterIn);

  // Provide actual ME weight for current branching.
  double calcMEcorr(int MEtype, int idMother, int idDaughterIn, double M2,
    double z, double Q2,double m2Sister);
  
  // Provide actual ME weight for t-channel weak emissions.
  double calcMEcorrWeak(int MEtype, double m2, double z,
    double pT2, Vec4 pMother, Vec4 pB, Vec4 pDaughter,
    Vec4 pB0, Vec4 p1, Vec4 p2, Vec4 pSister);

  // Find coefficient of azimuthal asymmetry from gluon polarization.
  void findAsymPol( Event& event, SpaceDipoleEnd* dip);

  // Pointer to MergingHooks object for NLO merging.
  MergingHooks* mergingHooksPtr;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SpaceShower_H
pythia8-8.1.86.orig/include/Pythia8/SigmaHiggs.h0000644000175000017500000005541612357054743017530 0ustar  sunsun// SigmaHiggs.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Part of code written by Marc Montull, CERN summer student 2007.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for Higgs process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma2Process.

#ifndef Pythia8_SigmaHiggs_H
#define Pythia8_SigmaHiggs_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A derived class for f fbar -> H0 (SM), H1, H2 or A3 (BSM).

class Sigma1ffbar2H : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2H(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    resonanceA() const {return idRes;}

private:

  // An H0, H1, H2 or A3 resonance object provides coupling
  // and propagator expressions.
  ParticleDataEntry* HResPtr;
  double mRes, GammaRes, m2Res, GamMRat, sigBW, widthOut;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for g g -> H0 (SM), H1, H2 or A3 (BSM).

class Sigma1gg2H : public Sigma1Process {

public:

  // Constructor.
  Sigma1gg2H(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave ;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "gg";}
  virtual int    resonanceA() const {return idRes;}

private:

  // A H0, H1, H2 or A3 resonance object provides coupling
  // and propagator expressions.
  ParticleDataEntry* HResPtr;
  double mRes, GammaRes, m2Res, GamMRat, sigma;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for gamma gamma -> H0 (SM Higgs), H1, H2 or A3 (BSM Higgs).

class Sigma1gmgm2H : public Sigma1Process {

public:

  // Constructor.
  Sigma1gmgm2H(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "gmgm";}
  virtual int    resonanceA() const {return idRes;}

private:

  // A H0, H1, H2 or A3 resonance object provides coupling
  // and propagator expressions.
  ParticleDataEntry* HResPtr;
  double mRes, GammaRes, m2Res, GamMRat, sigma;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for f fbar -> H Z0.
// (H can be H0 SM or H1, H2, A3 from BSM).
class Sigma2ffbar2HZ : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2HZ(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}
  virtual int    id3Mass()    const {return idRes;}
  virtual int    id4Mass()    const {return 23;}
  virtual int    resonanceA() const {return 23;}
  virtual int    gmZmode()    const {return 2;}

private:

  // Store Z0 mass and width.
  double mZ, widZ, mZS, mwZS, thetaWRat, sigma0, openFracPair, coup2Z;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for f fbar -> H W+- (Standard Model Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma2ffbar2HW : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2HW(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual bool   isSChannel() const {return true;}
  virtual int    id3Mass()    const {return idRes;}
  virtual int    id4Mass()    const {return 24;}
  virtual int    resonanceA() const {return 24;}

private:

  // Store W+- mass and width, and couplings.
  double mW, widW, mWS, mwWS, thetaWRat, sigma0, openFracPairPos,
         openFracPairNeg, coup2W;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for f f' -> H f f' (Z0 Z0 fusion of SM or BSM Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma3ff2HfftZZ : public Sigma3Process {

public:

  // Constructor.
  Sigma3ff2HfftZZ(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ff";}
  virtual int    id3Mass() const {return idRes;}

  // Instructions for 3-body phase space with t-channel propagators.
  virtual int    idTchan1()        const {return 23;}
  virtual int    idTchan2()        const {return 23;}
  virtual double tChanFracPow1()   const {return 0.05;}
  virtual double tChanFracPow2()   const {return 0.9;}
  virtual bool   useMirrorWeight() const {return true;}

private:

  // Store standard factors.
  double mZS, prefac, sigma1, sigma2, openFrac, coup2Z;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for f_1 f_2 -> H f_3 f_4 (W+ W- fusion of SM or BSM Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma3ff2HfftWW : public Sigma3Process {

public:

  // Constructor.
  Sigma3ff2HfftWW(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ff";}
  virtual int    id3Mass() const {return idRes;}

  // Instructions for 3-body phase space with t-channel propagators.
  virtual int    idTchan1()        const {return 24;}
  virtual int    idTchan2()        const {return 24;}
  virtual double tChanFracPow1()   const {return 0.05;}
  virtual double tChanFracPow2()   const {return 0.9;}
  virtual bool   useMirrorWeight() const {return true;}

private:

  // Store standard prefactor.
  double mWS, prefac, sigma0, openFrac, coup2W;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for g g -> H Q Qbar (Q Qbar fusion of SM or BSM Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma3gg2HQQbar : public Sigma3Process {

public:

  // Constructor.
  Sigma3gg2HQQbar(int idIn, int higgsTypeIn) : idNew(idIn),
    higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idRes;}
  virtual int    id4Mass() const {return idNew;}
  virtual int    id5Mass() const {return idNew;}

  // Instructions for 3-body phase space with t-channel propagators.
  virtual int    idTchan1()        const {return idNew;}
  virtual int    idTchan2()        const {return idNew;}
  virtual double tChanFracPow1()   const {return 0.4;}
  virtual double tChanFracPow2()   const {return 0.2;}
  virtual bool   useMirrorWeight() const {return false;}

private:

  // Store flavour-specific process information and standard prefactor.
  double prefac, sigma, openFracTriplet, coup2Q;
  int    idNew, higgsType, codeSave, idRes;
  string nameSave;

};
 
//==========================================================================

// A derived class for q qbar -> H Q Qbar (Q Qbar fusion of SM or BSM Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma3qqbar2HQQbar : public Sigma3Process {

public:

  // Constructor.
  Sigma3qqbar2HQQbar(int idIn, int higgsTypeIn) : idNew(idIn),
    higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return idRes;}
  virtual int    id4Mass() const {return idNew;}
  virtual int    id5Mass() const {return idNew;}

  // Instructions for 3-body phase space with t-channel propagators.
  virtual int    idTchan1()        const {return idNew;}
  virtual int    idTchan2()        const {return idNew;}
  virtual double tChanFracPow1()   const {return 0.4;}
  virtual double tChanFracPow2()   const {return 0.2;}
  virtual bool   useMirrorWeight() const {return false;}

private:

  // Store flavour-specific process information and standard prefactor.
  double prefac, sigma, openFracTriplet, coup2Q;
  int    idNew, higgsType, codeSave, idRes;
  string nameSave;

};
 
//==========================================================================

// A derived class for q g -> H q (SM or BSM Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma2qg2Hq : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2Hq(int idIn, int higgsTypeIn) : idNew(idIn),
    higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return idRes;}
  virtual int    id4Mass() const {return idNew;}

private:

  // Store flavour-specific process information and standard prefactor.
  double m2W, thetaWRat, sigma, openFrac;
  int    idNew, higgsType, codeSave, idRes;
  string nameSave;

};
 
//==========================================================================

// A derived class for g g -> H0 g (SM or BSM Higgs via heavy top loop).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma2gg2Hglt : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2Hglt(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idRes;}

private:

  // Store standard prefactor.
  double widHgg, sigma, openFrac;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for q g -> H q (SM or BSM Higgs via heavy top loop).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma2qg2Hqlt : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2Hqlt(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return idRes;}

private:

  // Store standard prefactor.
  double widHgg, sigma, openFrac;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for q qbar -> H g (SM or BSM Higgs via heavy top loop).
// (H can be H0 SM or H1, H2, A3 from BSM).

class Sigma2qqbar2Hglt : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2Hglt(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return idRes;}

private:

  // Store standard prefactor.
  double widHgg, sigma, openFrac;
  int    higgsType, codeSave, idRes;
  string nameSave;
};
 
//==========================================================================

// A derived class for f fbar' -> H+-.

class Sigma1ffbar2Hchg : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2Hchg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar' -> H+-";}
  virtual int    code()       const {return 961;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual int    resonanceA() const {return 37;}

private:

  // A H0 resonance object provides coupling and propagator expressions.
  ParticleDataEntry* HResPtr;
  double mRes, GammaRes, m2Res, GamMRat, m2W, thetaWRat, tan2Beta, sigBW,
         widthOutPos, widthOutNeg;

};
 
//==========================================================================

// A derived class for q g -> H+- q'.

class Sigma2qg2Hchgq : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2Hchgq(int idIn, int codeIn, string nameIn) : idNew(idIn),
    codeSave(codeIn), nameSave(nameIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return 37;}
  virtual int    id4Mass() const {return idNew;}

private:

  // Store flavour-specific process information and standard prefactor.
  int    idNew, codeSave, idOld, idUp, idDn;
  string nameSave;
  double m2W, thetaWRat, tan2Beta, sigma, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f fbar -> A0(H_3) h0(H_1) or A0(H_3) H0(H_2).

class Sigma2ffbar2A3H12 : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2A3H12(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ffbarSame";}
  virtual int    id3Mass() const {return 36;}
  virtual int    id4Mass() const {return higgs12;}

private:

  // Store flavour-specific process information and standard prefactor.
  int    higgsType, higgs12, codeSave;
  string nameSave;
  double coupZA3H12, m2Z, mGammaZ, thetaWRat, openFrac, sigma0;

};
 
//==========================================================================

// A derived class for f fbar -> H+- h0(H_1) or H+- H0(H_2).

class Sigma2ffbar2HchgH12 : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2HchgH12(int higgsTypeIn) : higgsType(higgsTypeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ffbarChg";}
  virtual int    id3Mass() const {return 37;}
  virtual int    id4Mass() const {return higgs12;}

private:

  // Store flavour-specific process information and standard prefactor.
  int    higgsType, higgs12, codeSave;
  string nameSave;
  double coupWHchgH12, m2W, mGammaW, thetaWRat, openFracPos, openFracNeg,
         sigma0;

};
 
//==========================================================================

// A derived class for f fbar -> H+ H-.

class Sigma2ffbar2HposHneg : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2HposHneg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return "f fbar -> H+ H-";}
  virtual int    code()    const {return 1085;}
  virtual string inFlux()  const {return "ffbarSame";}
  virtual int    id3Mass() const {return 37;}
  virtual int    id4Mass() const {return 37;}

private:

  // Store flavour-specific process information and standard prefactor.
  double m2Z, mGammaZ, thetaWRat, eH, lH, openFrac, gamSig, intSig, resSig;

};
  
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaHiggs_H
pythia8-8.1.86.orig/include/Pythia8/HadronLevel.h0000644000175000017500000001063112357054733017676 0ustar  sunsun// HadronLevel.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the main class for hadron-level generation.
// HadronLevel: handles administration of fragmentation and decay.

#ifndef Pythia8_HadronLevel_H
#define Pythia8_HadronLevel_H

#include "Pythia8/Basics.h"
#include "Pythia8/BoseEinstein.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/FragmentationSystems.h"
#include "Pythia8/HadronScatter.h"
#include "Pythia8/HiddenValleyFragmentation.h"
#include "Pythia8/Info.h"
#include "Pythia8/MiniStringFragmentation.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/ParticleDecays.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/RHadrons.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StringFragmentation.h"
#include "Pythia8/TimeShower.h"

namespace Pythia8 {
 
//==========================================================================

// The HadronLevel class contains the top-level routines to generate
// the transition from the partonic to the hadronic stage of an event.

class HadronLevel {

public:

  // Constructor.
  HadronLevel() {}

  // Initialize HadronLevel classes as required.
  bool init(Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    Couplings* couplingsPtrIn, TimeShower* timesDecPtr,
    RHadrons* rHadronsPtrIn, DecayHandler* decayHandlePtr,
    vector handledParticles);

  // Get pointer to StringFlav instance (needed by BeamParticle).
  StringFlav* getStringFlavPtr() {return &flavSel;}
 
  // Generate the next event.
  bool next(Event& event);

  // Special routine to allow more decays if on/off switches changed.
  bool moreDecays(Event& event);

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRYJNREST;
  static const double JJSTRINGM2MAX, JJSTRINGM2FRAC, CONVJNREST, MTHAD;

  // Initialization data, read from Settings.
  bool   doHadronize, doDecay, doBoseEinstein, allowRH;
  double mStringMin, eNormJunction, widthSepBE;

  // Settings for hadron scattering --rjc
  bool   doHadronScatter, hsAfterDecay;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Pointers to Standard Model couplings.
  Couplings*    couplingsPtr;

  // Configuration of colour-singlet systems.
  ColConfig     colConfig;

  // Colour information.
  vector    iColEnd, iAcolEnd, iColAndAcol, iParton, 
                 iJunLegA, iJunLegB, iJunLegC,
                 iAntiLegA, iAntiLegB, iAntiLegC, iGluLeg;

  vector< vector > iPartonJun, iPartonAntiJun;

  vector m2Pair;

  // The generator class for normal string fragmentation.
  StringFragmentation stringFrag;

  // The generator class for special low-mass string fragmentation.
  MiniStringFragmentation ministringFrag;

  // The generator class for normal decays.
  ParticleDecays decays;

  // The generator class for hadron scattering --rjc
  HadronScatter hadronScatter;

  // The generator class for Bose-Einstein effects.
  BoseEinstein boseEinstein;

  // Classes for flavour, pT and z generation.
  StringFlav flavSel;
  StringPT   pTSel;
  StringZ    zSel;

  // The RHadrons class is used to fragment off and decay R-hadrons.
  RHadrons*  rHadronsPtr;

  // Special class for Hidden-Valley hadronization. Not always used.
  HiddenValleyFragmentation hiddenvalleyFrag;
  bool useHiddenValley;

  // Special case: colour-octet onium decays, to be done initially.
  bool decayOctetOnia(Event& event);
 
  // Trace colour flow in the event to form colour singlet subsystems.
  bool findSinglets(Event& event);
 
  // Trace a colour line, from a colour, from an anticolour, or in loop.
  bool traceFromCol(int indxCol, Event& event, int iJun = -1, int iCol = -1);
  bool traceFromAcol(int indxCol, Event& event, int iJun = -1, int iCol = -1);
  bool traceInLoop(int indxCol, int indxAcol, Event& event);

  // Split junction-antijunction system into two, or simplify other way.
  bool splitJunctionPair(Event& event);
  
};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_HadronLevel_H
pythia8-8.1.86.orig/include/Pythia8/LHAPDFInterface.h0000644000175000017500000000462112357054734020255 0ustar  sunsun// LHAPDFInterface.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the LHAPDF f77 external linkage to C++.
// All required code is contained here, i.e. there is no matching .cc file.

#ifndef Pythia8_LHAPDFInterface_H
#define Pythia8_LHAPDFInterface_H

namespace Pythia8 {
 
//==========================================================================

// Declare the LHAPDF f77 subroutines that are needed.

extern "C" {

  extern void initpdfsetm_(int&, const char*, int);

  extern void initpdfsetbynamem_(int&, const char*, int);

  extern void initpdfm_(int&, int&);

  extern void evolvepdfm_(int&, double&, double&, double*);

  extern void evolvepdfphotonm_(int&, double&, double&, double*, double&);

  extern void setlhaparm_(const char*, int);
    
}

//==========================================================================

// Interfaces to the above routines, to make the C++ calls similar to f77.

class LHAPDFInterface {

public:

  // Initialize set with full pathname, allowing multiple sets.
  static void initPDFsetM( int& nSet, string name) {
    const char* cName = name.c_str(); int lenName = name.length();
    initpdfsetm_( nSet, cName, lenName);
  }

  // Initialize set with simple name, allowing multiple sets.
  static void initPDFsetByNameM( int& nSet, string name) {
    const char* cName = name.c_str(); int lenName = name.length();
    initpdfsetbynamem_( nSet, cName, lenName);
  }

  // Initialize member of set.
  static void initPDFM(int& nSet, int member) {
    initpdfm_(nSet, member);
  }

  // Evaluate x f_i(x, Q).
  static void evolvePDFM( int& nSet, double x, double Q, double* xfArray) {
    evolvepdfm_( nSet, x, Q, xfArray);
  }

  // Evaluate x f_i(x, Q) including photon
  static void evolvePDFPHOTONM( int& nSet, double x, double Q,
    double* xfArray, double& xPhoton) {
    evolvepdfphotonm_( nSet, x, Q, xfArray, xPhoton);
  }

  // Extrapolate PDF set beyond boundaries, or freeze them there.
  static void setPDFparm(string name) {
    const char* cName = name.c_str(); int lenName = name.length();
    setlhaparm_( cName, lenName);
  }
  

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_LHAPDFInterface_H
pythia8-8.1.86.orig/include/Pythia8/HelicityMatrixElements.h0000644000175000017500000004052612357054733022135 0ustar  sunsun// HelicityMatrixElements.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Philip Ilten, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for a number of physics classes used in tau decays.

#ifndef Pythia8_HelicityMatrixElements_H
#define Pythia8_HelicityMatrixElements_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/HelicityBasics.h"
#include "Pythia8/PythiaComplex.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/StandardModel.h"

namespace Pythia8 {

//==========================================================================

// The helicity matrix element class.

class HelicityMatrixElement {

public:

  // Constructor and destructor.
  HelicityMatrixElement() {};
  virtual ~HelicityMatrixElement() {};

  // Initialize the physics matrices and pointers.
  virtual void initPointers(ParticleData*, Couplings*);

  // Initialize the channel.
  virtual HelicityMatrixElement* initChannel(vector&);

  // Calculate the matrix element weight for a decay.
  virtual double decayWeight(vector&);

  // Calculate the maximum matrix element decay weight.
  virtual double decayWeightMax(vector&)
    {return DECAYWEIGHTMAX;}

  // Calculate the helicity matrix element.
  virtual complex calculateME(vector){return complex(0,0);}

  // Calculate the decay matrix for a particle.
  virtual void calculateD(vector&);

  // Calculate the density matrix for a particle.
  virtual void calculateRho(unsigned int, vector&);

  // Set a fermion line.
  void setFermionLine(int, HelicityParticle&, HelicityParticle&);

  // Calculate Breit-Wigner's with running widths and fixed.
  virtual complex  breitWigner(double s, double M, double G);
  virtual complex sBreitWigner(double m0, double m1, double s,
    double M, double G);
  virtual complex pBreitWigner(double m0, double m1, double s,
    double M, double G);
  virtual complex dBreitWigner(double m0, double m1, double s,
    double M, double G);

protected:

  // Maximum decay weight. WARNING: hardcoded constant.
  double DECAYWEIGHTMAX;

  // Physics matrices.
  vector< GammaMatrix > gamma;

  // Particle map vector.
  vector< int > pMap;

  // Particle ID vector.
  vector< int > pID;

  // Particle mass vector.
  vector< double > pM;
  
  // Wave functions.
  vector< vector< Wave4 > > u;

  // Initialize the constants for the matrix element (called by initChannel).
  virtual void initConstants() {};

  // Initialize the wave functions (called by decayWeight and calculateRho/D).
  virtual void initWaves(vector&) {};

  // Pointer to particle data.
  ParticleData* particleDataPtr;

  // Pointer to Standard Model constants.
  Couplings*    couplingsPtr;

private:
    
  // Recursive sub-method to calculate the density matrix for a particle.
  void calculateRho(unsigned int, vector&,
    vector&, vector&, unsigned int);

  // Recursive sub-method to calculate the decay matrix for a particle.
  void calculateD(vector&, vector&, vector&,
    unsigned int);

  // Recursive sub-method to calculate the matrix element weight for a decay.
  void decayWeight(vector&, vector&, vector&,
    complex&, unsigned int);

  // Calculate the product of the decay matrices for a hard process.
  complex calculateProductD(unsigned int, unsigned int,
    vector&, vector&, vector&);

  // Calculate the product of the decay matrices for a decay process.
  complex calculateProductD(vector&,
    vector&, vector&);

};

//==========================================================================

// Helicity matrix element for the hard process of two fermions -> W ->
// two fermions.
  
class HMETwoFermions2W2TwoFermions : public HelicityMatrixElement {

public:

  void initWaves(vector&);

  complex calculateME(vector);

};

//==========================================================================

// Helicity matrix element for the hard process of two fermions ->
// photon -> two fermions.

class HMETwoFermions2Gamma2TwoFermions : public HelicityMatrixElement {

public:

  void initWaves(vector&);

  complex calculateME(vector);

private:

  // Fermion line charge and interaction energy.
  double p0Q, p2Q, s;

};

//==========================================================================

// Helicity matrix element for the hard process of two fermions ->
// Z -> two fermions.
  
class HMETwoFermions2Z2TwoFermions : public HelicityMatrixElement {
    
public:

  void initConstants();

  void initWaves(vector&);

  complex calculateME(vector);

private:

  // Vector and axial couplings.
  double p0CA, p2CA, p0CV, p2CV;

  // Weinberg angle, Z width (on-shell), Z mass (on-shell), and s.
  double cos2W, sin2W, zG, zM, s;

  // Bool whether the incoming fermions are oriented with the z-axis.
  bool zaxis;

};

//==========================================================================

// Helicity matrix element for the hard process of two fermions ->
// photon/Z -> two fermions with full interference.

// In general the initPointers and initChannel methods should not need to be
// redeclared, but in this case each matrix element needs to be initialized.
  
class HMETwoFermions2GammaZ2TwoFermions : public HelicityMatrixElement {

public:

  HelicityMatrixElement* initChannel(vector&);

  void initPointers(ParticleData*, Couplings*);
  
  void initWaves(vector&);

  complex calculateME(vector);

private:
  
  HMETwoFermions2Z2TwoFermions     zHME;
  HMETwoFermions2Gamma2TwoFermions gHME;

};

//==========================================================================

// Helicity matrix element for the hard process of Z -> two fermions.
  
class HMEZ2TwoFermions : public HelicityMatrixElement {
    
public:
  
  void initConstants();
  
  void initWaves(vector&);
  
  complex calculateME(vector);

private:
  
  // Vector and axial couplings.
  double p2CA, p2CV;

};

//==========================================================================

// Helicity matrix element for the decay of a CP even Higgs ->  two fermions.

// Because the Higgs is spin zero the Higgs production mechanism is not
// needed for calculating helicity density matrices.
 
class HMEHiggsEven2TwoFermions : public HelicityMatrixElement {

public:

  void initWaves(vector&);

  complex calculateME(vector);

private:

  // Coupling constants of the fermions with the Higgs.
  double p2CA, p2CV;

};

//==========================================================================

// Helicity matrix element for the decay of a CP odd Higgs ->  two fermions.
 
class HMEHiggsOdd2TwoFermions : public HelicityMatrixElement {

public:

  void initWaves(vector&);

  complex calculateME(vector);

private:
  
  // Coupling constants of the fermions with the Higgs.
  double p2CA, p2CV;

};

//==========================================================================

// Helicity matrix element for the decay of a charged Higgs ->  two fermions.
  
class HMEHiggsCharged2TwoFermions : public HelicityMatrixElement {

public:

  void initWaves(vector&);

  complex calculateME(vector);

private:
  
  // Coupling constants of the fermions with the Higgs.
  double p2CA, p2CV;

};

//==========================================================================

// Helicity matrix element which provides an unpolarized on-diagonal helicity
// density matrix. Used for unknown hard processes.
 
class HMEUnpolarized : public HelicityMatrixElement {

public:

  void calculateRho(unsigned int, vector&);

};

//==========================================================================

// Base class for all tau decay helicity matrix elements.
   
class HMETauDecay : public HelicityMatrixElement {

public:

  virtual void initWaves(vector&);

  virtual complex calculateME(vector);

  virtual double decayWeightMax(vector&);

protected:

  virtual void initHadronicCurrent(vector&) {};

  virtual void calculateResonanceWeights(vector&, vector&,
    vector&);

};

//==========================================================================

// Helicity matrix element for a tau decaying into a single scalar meson.
  
class HMETau2Meson : public HMETauDecay {

public:
    
  void initConstants();
    
  void initHadronicCurrent(vector&);

};

//==========================================================================

// Helicity matrix element for a tau decaying into two leptons.
  
class HMETau2TwoLeptons : public HMETauDecay {
    
public:
    
  void initConstants();

  void initWaves(vector&);

  complex calculateME(vector);

};

//==========================================================================

// Helicity matrix element for a tau decaying into two mesons through a
// vector meson resonance.
  
class HMETau2TwoMesonsViaVector : public HMETauDecay {

public:

  void initConstants();

  void initHadronicCurrent(vector&);

private:

  // Resonance masses, widths, and weights.
  vector  vecM, vecG, vecP, vecA;
  vector vecW;

};

//==========================================================================

// Helicity matrix element for a tau decay into two mesons through a vector
// or scalar meson resonance.
  
class HMETau2TwoMesonsViaVectorScalar : public HMETauDecay {

public:

  void initConstants();
  
  void initHadronicCurrent(vector&);

private:

  // Coupling to vector and scalar resonances.
  double scaC, vecC;

  // Resonance masses, widths, and weights.
  vector  scaM, scaG, scaP, scaA, vecM, vecG, vecP, vecA;
  vector scaW, vecW;

};

//==========================================================================

// Helicity matrix element for a tau decay into three mesons (base class).

class HMETau2ThreeMesons : public HMETauDecay {
    
public:

  void initConstants();

  void initHadronicCurrent(vector&);

protected:

  // Decay mode of the tau.
  enum Mode{Pi0Pi0Pim, PimPimPip, Pi0PimK0b, PimPipKm, Pi0PimEta, PimKmKp,
            Pi0K0Km, KlPimKs, Pi0Pi0Km, KlKlPim, PimKsKs, PimK0bK0, Uknown};
  Mode mode;

  // Initialize decay mode and resonance constants (called by initConstants).
  virtual void initMode();
  virtual void initResonances() {;}

  // Initialize the momenta.
  virtual void initMomenta(vector&);

  // Center of mass energies and momenta.
  double s1, s2, s3, s4;
  Wave4  q, q2, q3, q4;
  
  // Stored a1 Breit-Wigner (for speed).
  complex a1BW;

  // Form factors.
  virtual complex F1() {return complex(0, 0);}
  virtual complex F2() {return complex(0, 0);}
  virtual complex F3() {return complex(0, 0);}
  virtual complex F4() {return complex(0, 0);}

  // Phase space and Breit-Wigner for the a1.
  virtual double  a1PhaseSpace(double);
  virtual complex a1BreitWigner(double);

  // Sum running p and fixed width Breit-Wigner resonances.
  complex T(double m0, double m1, double s,
            vector& M, vector& G, vector& W);
  complex T(double s, vector& M, vector& G, vector& W);

};

//==========================================================================

// Helicity matrix element for a tau decay into three pions.
   
class HMETau2ThreePions : public HMETau2ThreeMesons {

private:

  void initResonances();

  // Resonance masses, widths, and weights.
  vector  rhoM, rhoG, rhoPp, rhoAp, rhoPd, rhoAd;
  double          f0M, f0G, f0P, f0A, f2M, f2G, f2P, f2A;
  double          sigM, sigG, sigP, sigA;
  vector rhoWp, rhoWd;
  complex         f0W, f2W, sigW;

  // Form factors.
  complex F1();
  complex F2();
  complex F3();

  // Running width and Breit-Wigner for the a1.
  double  a1PhaseSpace(double);
  complex a1BreitWigner(double);

};

//==========================================================================

// Helicity matrix element for a tau decay into three mesons with kaons.
   
class HMETau2ThreeMesonsWithKaons : public HMETau2ThreeMesons {

private:

  void initResonances();

  // Resonance masses, widths, and weights.
  vector rhoMa, rhoGa, rhoWa, rhoMv, rhoGv, rhoWv;
  vector kstarMa, kstarGa, kstarWa, kstarMv, kstarGv, kstarWv;
  vector k1Ma, k1Ga, k1Wa, k1Mb, k1Gb, k1Wb;
  vector omegaM, omegaG, omegaW;
  double kM, piM, piW;

  // Form factors.
  complex F1();
  complex F2();
  complex F4();
  
};

//==========================================================================

// Helicity matrix element for a tau decay into generic three mesons.
   
class HMETau2ThreeMesonsGeneric : public HMETau2ThreeMesons {

private:

  void initResonances();

  // Resonance masses, widths, and weights.
  vector rhoMa, rhoGa, rhoWa, rhoMv, rhoGv, rhoWv;
  vector kstarM, kstarG, kstarW, k1M, k1G, k1W;
  double kM, piM, piW;

  // Form factors.
  complex F1();
  complex F2();
  complex F4();
  
};

//==========================================================================

// Helicity matrix element for a tau decay into two pions and a photon.

class HMETau2TwoPionsGamma : public HMETauDecay {
    
public:

  void initConstants();

  void initWaves(vector&);

  complex calculateME(vector);

protected:

  // Resonance masses, widths, and weights.
  vector  rhoM, rhoG, rhoW, omegaM, omegaG, omegaW;
  double piM;

  // Form factor.
  complex F(double s, vector M, vector G, vector W);

};

//==========================================================================

// Helicity matrix element for a tau decay into four pions.
  
class HMETau2FourPions : public HMETauDecay {

public:

  void initConstants();

  void initHadronicCurrent(vector& p);

private:

  // G-function form factors (fits).
  double G(int i, double s);

  // T-vector functions.
  Wave4 t1(Wave4&, Wave4&, Wave4&, Wave4&, Wave4&);
  Wave4 t2(Wave4&, Wave4&, Wave4&, Wave4&, Wave4&);
  Wave4 t3(Wave4&, Wave4&, Wave4&, Wave4&, Wave4&);

  // Breit-Wigner denominators for the intermediate mesons.
  complex  a1D(double s);
  complex rhoD(double s);
  complex sigD(double s);
  complex omeD(double s);

  // Form factors needed for the a1, rho, and omega.
  double  a1FormFactor(double s);
  double rhoFormFactor1(double s);
  double rhoFormFactor2(double s);
  double omeFormFactor(double s);
  
  // Masses and widths of the intermediate mesons.
  double a1M, a1G, rhoM, rhoG, sigM, sigG, omeM, omeG;

  // Masses for the pions (charged and neutral).
  double picM, pinM;

  // Amplitude, phases, and weights for mixing.
  double  sigA, sigP, omeA, omeP;
  complex sigW, omeW;
  
  // Cut-off for a1 form factor.
  double lambda2;

};

//==========================================================================

// Helicity matrix element for a tau decaying into five pions.
  
class HMETau2FivePions : public HMETauDecay {

public:

  void initConstants();

  void initHadronicCurrent(vector&);

private:

  // Hadronic currents.
  Wave4 Ja(Wave4 &q, Wave4 &q1, Wave4 &q2, Wave4 &q3, Wave4 &q4, Wave4 &q5);
  Wave4 Jb(Wave4 &q, Wave4 &q1, Wave4 &q2, Wave4 &q3, Wave4 &q4, Wave4 &q5);

  // Simplified s-wave Breit-Wigner assuming massless products.
  complex breitWigner(double s, double M, double G);
  
  // Masses and widths of intermediates.
  double a1M, a1G, rhoM, rhoG, omegaM, omegaG, omegaW, sigmaM, sigmaG, sigmaW;

};

//==========================================================================

// Helicity matrix element for a tau decay into flat phase space.
  
class HMETau2PhaseSpace : public HMETauDecay {

public:

  void initWaves(vector&) {};

  complex calculateME(vector) {return 1;}
  
  void calculateD(vector&) {};

  void calculateRho(unsigned int, vector&) {};

  double decayWeight(vector&) {return 1.0;}

  double decayWeightMax(vector&) {return 1.0;}

};

//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_HelicityMatrixElements_H
pythia8-8.1.86.orig/include/Pythia8/BeamRemnants.h0000644000175000017500000000561412357054733020054 0ustar  sunsun// BeamRemnants.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for beam-remnants handling.
// BeamRemnants: matches the remnants between the two beams.

#ifndef Pythia8_BeamRemnants_H
#define Pythia8_BeamRemnants_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// This class matches the kinematics of the hard-scattering subsystems
// (with primordial kT added) to that of the two beam remnants.

class BeamRemnants {

public:

  // Constructor.
  BeamRemnants() : iDS(0) { }

  // Initialization.
  bool init( Info* infoPtrIn, Settings& settings, Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    PartonSystems* partonSystemsPtrIn);

  // New beams possible for handling of hard diffraction.
  void reassignBeamPtrs( BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    int iDSin) {beamAPtr = beamAPtrIn; beamBPtr = beamBPtrIn; iDS = iDSin;}

  // Select the flavours/kinematics/colours of the two beam remnants.
  bool add( Event& event);

private:

  // Constants: could only be changed in the code itself.
  static const bool   ALLOWCOLOURTWICE, CORRECTMISMATCH;
  static const int    NTRYCOLMATCH, NTRYKINMATCH;

  // Initialization data, read from Settings.
  bool   doPrimordialKT, allowRescatter, doRescatterRestoreY, doReconnect;
  double primordialKTsoft, primordialKThard, primordialKTremnant,
         halfScaleForKT, halfMassForKT, reconnectRange,
         pT0Ref, ecmRef, ecmPow;

  // Information set for events.
  int    nSys, oldSize, iDS;
  double eCM, sCM, pT0, pT20Rec;

  // Colour collapses (when one colour is mapped onto another).
  vector colFrom, colTo;

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointers to the two incoming beams.
  BeamParticle*  beamAPtr;
  BeamParticle*  beamBPtr;

  // Pointer to information on subcollision parton locations.
  PartonSystems* partonSystemsPtr;

  // Do the kinematics of the collision subsystems and two beam remnants.
  bool setKinematics( Event& event);

  // Allow colour reconnections.
  bool reconnectColours( Event&  event);

  // Check that colours are consistent.
  bool checkColours( Event& event);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_BeamRemnants_H
pythia8-8.1.86.orig/include/Pythia8/StringFragmentation.h0000644000175000017500000001312312357054744021461 0ustar  sunsun// StringFragmentation.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the classes for string fragmentation.
// StringEnd: keeps track of the fragmentation step.
// StringFragmentation: is the top-level class.

#ifndef Pythia8_StringFragmentation_H
#define Pythia8_StringFragmentation_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/FragmentationSystems.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
 
//==========================================================================

// The StringEnd class contains the information related to
// one of the current endpoints of the string system.
// Only to be used inside StringFragmentation, so no private members.

class StringEnd {

public:

  // Constructor.
  StringEnd() {}

  // Save pointers.
  void init( ParticleData* particleDataPtrIn, StringFlav* flavSelPtrIn,
    StringPT* pTSelPtrIn, StringZ* zSelPtrIn) {
    particleDataPtr = particleDataPtrIn; flavSelPtr = flavSelPtrIn;
    pTSelPtr = pTSelPtrIn; zSelPtr = zSelPtrIn;}
   
  // Set up initial endpoint values from input.
  void setUp(bool fromPosIn, int iEndIn, int idOldIn, int iMaxIn,
    double pxIn, double pyIn, double GammaIn, double xPosIn, double xNegIn);

  // Fragment off one hadron from the string system, in flavour and pT.
  void newHadron();

  // Fragment off one hadron from the string system, in momentum space,
  // by taking steps either from positive or from negative end.
  Vec4 kinematicsHadron(StringSystem& system);

  // Update string end information after a hadron has been removed.
  void update();

  // Constants: could only be changed in the code itself.
  static const double TINY, PT2SAME;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointers to classes for flavour, pT and z generation.
  StringFlav*   flavSelPtr;
  StringPT*     pTSelPtr;
  StringZ*      zSelPtr;
 
  // Data members.
  bool   fromPos;
  int    iEnd, iMax, idHad, iPosOld, iNegOld, iPosNew, iNegNew;
  double pxOld, pyOld, pxNew, pyNew, pxHad, pyHad, mHad, mT2Had, zHad,
         GammaOld, GammaNew, xPosOld, xPosNew, xPosHad, xNegOld, xNegNew,
         xNegHad;
  FlavContainer flavOld, flavNew;
  Vec4   pHad, pSoFar;

};
  
//==========================================================================

// The StringFragmentation class contains the top-level routines
// to fragment a colour singlet partonic system.

class StringFragmentation {

public:

  // Constructor.
  StringFragmentation() {}

  // Initialize and save pointers.
  void init(Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    StringFlav* flavSelPtrIn, StringPT* pTSelPtrIn, StringZ* zSelPtrIn);

  // Do the fragmentation: driver routine.
  bool fragment( int iSub, ColConfig& colConfig, Event& event);

  // Find the boost matrix to the rest frame of a junction.
  RotBstMatrix junctionRestFrame(Vec4& p0, Vec4& p1, Vec4& p2);

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRYFLAV, NTRYJOIN, NSTOPMASS, NTRYJNREST,
                      NTRYJNMATCH, NTRYJRFEQ;
  static const double FACSTOPMASS, CLOSEDM2MAX, CLOSEDM2FRAC, EXPMAX,
                      MATCHPOSNEG, EJNWEIGHTMAX, CONVJNREST, M2MAXJRF,
                      EEXTRAJNMATCH, MDIQUARKMIN, CONVJRFEQ;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Pointers to classes for flavour, pT and z generation.
  StringFlav*   flavSelPtr;
  StringPT*     pTSelPtr;
  StringZ*      zSelPtr;

  // Initialization data, read from Settings.
  double stopMass, stopNewFlav, stopSmear, eNormJunction,
         eBothLeftJunction, eMaxLeftJunction, eMinLeftJunction,
         mJoin, bLund;

  // Data members.
  bool   hasJunction, isClosed;
  int    iPos, iNeg;
  double w2Rem, stopMassNow;
  Vec4   pSum, pRem, pJunctionHadrons;

  // List of partons in string system.
  vector iParton;

  // Temporary event record for the produced particles.
  Event hadrons;

  // Information on the system of string regions.
  StringSystem system, systemMin, systemMid;

  // Information on the two current endpoints of the fragmenting system.
  StringEnd posEnd, negEnd;

  // Find region where to put first string break for closed gluon loop.
  vector findFirstRegion(vector& iPartonIn, Event& event);

  // Set flavours and momentum position for initial string endpoints.
  void setStartEnds(int idPos, int idNeg, StringSystem systemNow);

  // Check remaining energy-momentum whether it is OK to continue.
  bool energyUsedUp(bool fromPos);

  // Produce the final two partons to complete the system.
  bool finalTwo(bool fromPos);

  // Construct a special joining region for the final two hadrons.
  StringRegion finalRegion();

  // Store the hadrons in the normal event record, ordered from one end.
  void store(Event& event);

  // Fragment off two of the string legs in to a junction.
  bool fragmentToJunction(Event& event);

  // Join extra nearby partons when stuck.
  int extraJoin(double facExtra, Event& event);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_StringFragmentation_H
pythia8-8.1.86.orig/include/Pythia8/SigmaTotal.h0000644000175000017500000001125712357054744017546 0ustar  sunsun// SigmaTotal.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the class for cross section parametrizations.
// SigmaTotal: total and partial cross section in hadron-hadron collisions.

#ifndef Pythia8_SigmaTotal_H
#define Pythia8_SigmaTotal_H

#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
 
//==========================================================================

// The SigmaTotal class contains parametrizations of total, elastic and
// diffractive cross sections, and of the respective slope parameter.

class SigmaTotal {

public:

  // Constructor.
  SigmaTotal() : isCalc(false) {};

  // Store pointers and initialize data members.
  void init(Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn );

  // Calculate, or recalculate for new beams or new energy.
  bool calc(int idA, int idB, double eCM);

  // Confirm that initialization worked.
  bool   hasSigmaTot() const {return isCalc;}

  // Read out total and partial cross sections.
  double sigmaTot() const {return sigTot;}
  double sigmaEl()  const {return sigEl;}
  double sigmaXB()  const {return sigXB;}
  double sigmaAX()  const {return sigAX;}
  double sigmaXX()  const {return sigXX;}
  double sigmaAXB() const {return sigAXB;}
  double sigmaND()  const {return sigND;}

  // Calculate cross sections in MBR model.
  bool calcMBRxsecs(int idA, int idB, double eCM);
  
  // Get maximum of xi,dy distribution in MBR model (for event generation).
  double ddpMax()  const {return ddpmax;}
  double sdpMax()  const {return sdpmax;}
  double dpepMax() const {return dpepmax;}

  // Read out slope b in exp(b*t) dependence.
  double bSlopeEl()          const {return bEl;}
  double bSlopeXB(double sX) const { return 2.*bB + alP2 * log(s/sX) ;}
  double bSlopeAX(double sX) const { return 2.*bA + alP2 * log(s/sX) ;}
  double bSlopeXX(double sX1, double sX2) const {
    return alP2 * log( exp(4.) + s * s0 / (sX1 * sX2) ) ;}

  // Read out parameters of diffractive mass spectra.
  double mMinXB()  const {return mMinXBsave;}
  double mMinAX()  const {return mMinAXsave;}
  double mMinAXB() const {return mMinAXBsave;}
  double cRes()    const {return CRES;}
  double mResXB()  const {return mResXBsave;}
  double mResAX()  const {return mResAXsave;}
  double sProton() const {return SPROTON;}

  // Read out parameters of trial t spectra.
  double bMinSlopeXB() const { return max(2., 2. * bB);}
  double bMinSlopeAX() const { return max(2., 2. * bA);}
  double bMinSlopeXX() const { return alP2 * 4.;}

private:

  // Decide whether default or MBR diffractive cross sections.
  int    PomFlux;
  
  // Constants: could only be changed in the code itself.
  static const int    IHADATABLE[], IHADBTABLE[], ISDTABLE[], IDDTABLE[];
  static const double MMIN, EPSILON, ETA, X[], Y[], BETA0[], BHAD[],
                      ALPHAPRIME, CONVERTEL, CONVERTSD, CONVERTDD, MMIN0,
                      CRES, MRES0, CSD[10][8], CDD[10][9], SPROTON;
  
  // Integration of MBR cross sections and form factor approximation.
  static const int    NINTEG, NINTEG2;
  static const double HBARC2, FFA1, FFA2,FFB1, FFB2;

  // Initialization data, normally only set once.
  bool   isCalc, setTotal, zeroAXB, doDampen, setElastic;
  double sigAXB2TeV, sigTotOwn, sigElOwn, sigXBOwn, sigAXOwn, sigXXOwn,
         sigAXBOwn, maxXBOwn, maxAXOwn, maxXXOwn, maxAXBOwn, bSlope, rho,
         lambda, tAbsMin, alphaEM0, sigmaPomP, mPomP, pPomP;
  
  // Parameters of MBR model.
  double MBReps, MBRalpha, MBRbeta0, MBRsigma0, m2min, dyminSDflux,
         dyminDDflux, dyminCDflux, dyminSD, dyminDD, dyminCD,
         dyminSigSD, dyminSigDD, dyminSigCD, sdpmax, ddpmax, dpepmax;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Store values found by calc.
  double sigTot, sigEl, sigXB, sigAX, sigXX, sigAXB, sigND, bEl, s, bA, bB,
         alP2, s0, mMinXBsave, mMinAXsave, mMinAXBsave, mResXBsave,
         mResAXsave;

  // The error function erf(x) should normally be in your math library,
  // but if not uncomment this simple parametrization by Sergei Winitzki.
  //double erf(double x) { double x2 = x * x; double kx2 = 0.147 * x2;
  //  double tmp = sqrt(1. - exp(-x2 * (4./M_PI + kx2) / (1. + kx2)));
  //  return ((x >= 0.) ? tmp : -tmp); }

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaTotal_H
pythia8-8.1.86.orig/include/Pythia8/WeakShowerMEs.h0000644000175000017500000000320412357054745020160 0ustar  sunsun// WeakShowerMEs.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the class containg matrix elements needed for
// W/Z emission corrections in both the initial and final state shower.
// WeakShowerMEs: contains the matrix elements.

#ifndef Pythia8_WeakShowerMEs_H
#define Pythia8_WeakShowerMEs_H

#include "Pythia8/Basics.h"

namespace Pythia8 {
 
//==========================================================================

// The WeakShowerMEs provides ME's needed for W/Z emission in ISR or FSR.

class WeakShowerMEs {

public:

  // Constructor.
  WeakShowerMEs() {}
  
  // Calculate the 2 to 2 ME uG -> uG, up to a known overall factor.
  double getTchanneluGuGME(double sHat,double tHat,double uHat);
  
  // Calculate the 2 to 2 ME ud -> ud, up to a known overall factor.
  double getTchannelududME(double sHat,double tHat,double uHat);
  
  // Calculate the 2 to 2 ME uu -> uu, up to a known overall factor.
  double getTchanneluuuuME(double sHat,double tHat,double uHat);

  // Calculate the 2 to 3 ME uG -> uGZ, up to a known overall factor.
  double getTchanneluGuGZME(Vec4 p1,Vec4 p2,Vec4 p3,Vec4 p4,Vec4 p5);

  // Calculate the 2 to 3 ME ud -> udZ, up to a known overall factor,
  // and with the coupling between Z and d set to zero.
  double getTchannelududZME(Vec4 p1,Vec4 p2,Vec4 p3,Vec4 p4,Vec4 p5);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_WeakShowerMEs_H
pythia8-8.1.86.orig/include/Pythia8/SigmaCompositeness.h0000644000175000017500000002125212357054743021311 0ustar  sunsun// SigmaCompositeness.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for compositiness-process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma(1/2)Process.

#ifndef Pythia8_SigmaCompositeness_H
#define Pythia8_SigmaCompositeness_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A derived class for q g -> q^* (excited quark state).

class Sigma1qg2qStar : public Sigma1Process {

public:

  // Constructor.
  Sigma1qg2qStar(int idqIn) : idq(idqIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for q* decay angles (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "qg";}
  virtual int    resonanceA() const {return idRes;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idq, idRes, codeSave;
  string nameSave;
  double mRes, GammaRes, m2Res, GamMRat, Lambda, coupFcol, widthIn, sigBW;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* qStarPtr;

};
 
//==========================================================================

// A derived class for l gamma -> l^* (excited lepton state).

class Sigma1lgm2lStar : public Sigma1Process {

public:

  // Constructor.
  Sigma1lgm2lStar(int idlIn) : idl(idlIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for l* decay angles (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "fgm";}
  virtual int    resonanceA() const {return idRes;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idl, idRes, codeSave;
  string nameSave;
  double mRes, GammaRes, m2Res, GamMRat, Lambda, coupChg, widthIn, sigBW;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* qStarPtr;

};
 
//==========================================================================

// A derived class for q q' -> q^* q' (excited quark state).

class Sigma2qq2qStarq : public Sigma2Process {

public:

  // Constructor.
  Sigma2qq2qStarq(int idqIn) : idq(idqIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for q* decay angles (else inactive).
  virtual double weightDecay(Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "qq";}
  virtual int    id3Mass()    const {return idRes;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idq, idRes, codeSave;
  string nameSave;
  double Lambda, preFac, openFracPos, openFracNeg, sigmaA, sigmaB;

};
 
//==========================================================================

// A derived class for q qbar -> l^* lbar (excited lepton state).

class Sigma2qqbar2lStarlbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2lStarlbar(int idlIn) : idl(idlIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for l* decay angles (else inactive).
  virtual double weightDecay(Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual int    id3Mass()    const {return idRes;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idl, idRes, codeSave;
  string nameSave;
  double Lambda, preFac, openFracPos, openFracNeg, sigma;

};

//==========================================================================

// A derived class for q q -> q q (quark contact interactions).
// Based on, Sigma2qq2qq (QCD).

class Sigma2QCqq2qq : public Sigma2Process {

public:

  // Constructor.
  Sigma2QCqq2qq(){}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q q(bar)' -> (QC) -> q q(bar)'";}
  virtual int    code()   const {return 4201;}
  virtual string inFlux() const {return "qq";}

 private:

  // Values stored for colour flow selection.
  double sigT, sigU, sigTU, sigST, sigSum, sigQCSTU, sigQCUTS;

  // Compositeness parameters.
  double qCLambda2;
  int    qCetaLL, qCetaRR, qCetaLR;

};

//==========================================================================

// A derived class for q qbar -> q' qbar' (quark contact interactions).
// Based on, Sigma2qqbar2qqbarNew(QCD).
// Note: This process give the same contributions for q == q' and q != q'.

class Sigma2QCqqbar2qqbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2QCqqbar2qqbar(){}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q qbar -> (QC) -> q' qbar' (uds)";}
  virtual int    code()   const {return 4202;}
  virtual string inFlux() const {return "qqbarSame";}

 private:

  // Number of outgoing quark flavours to be considered, given that
  // matrix elements are calculated in the massless approximation.
  int    qCnQuarkNew;

  // Values stored for colour flow selection.
  int    idNew;
  double mNew, m2New, sigS, sigma;

  // Compositeness parameters.
  double qCLambda2;
  int    qCetaLL, qCetaRR, qCetaLR;

};

//==========================================================================
 
// A derived class for f fbar -> l lbar
// (contact interactions).
// Does not include t-channel contributions relevant for e^+e^- to e^+e^-
 
class Sigma2QCffbar2llbar : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2QCffbar2llbar (int idIn, int codeIn) : idNew(idIn), codeNew(codeIn) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return nameNew;}
  virtual int    code()       const {return codeNew;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}
 
private:
 
  // Process values.
  string nameNew;
  int    idNew, codeNew;
  double qCmNew, qCmNew2, qCmZ, qCmZ2, qCGZ, qCGZ2, sigma0;

  // Compositeness parameters.
  double qCLambda2;
  int    qCetaLL, qCetaRR, qCetaLR;
  double qCPropGm, qCrePropZ, qCimPropZ;
 
};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaCompositeness_H
pythia8-8.1.86.orig/include/Pythia8/HelicityBasics.h0000644000175000017500000002015612357054733020375 0ustar  sunsun// HelicityBasics.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Philip Ilten, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for a number of helper classes used in tau decays.

#ifndef Pythia8_HelicityBasics_H
#define Pythia8_HelicityBasics_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/PythiaComplex.h"
#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================
  
// The Wave4 class provides a class for complex four-vector wave functions.
// The Wave4 class can be multiplied with the GammaMatrix class to allow
// for the writing of helicity matrix elements.
  
class Wave4 {

public:

  // Constructors and destructor.
  Wave4() {};
  Wave4(complex v0, complex v1, complex v2, complex v3) {val[0] = v0;
    val[1] = v1; val[2] = v2; val[3] = v3;}
  Wave4(Vec4 v) {val[0] = v.e(); val[1] = v.px(); val[2] = v.py();
    val[3] = v.pz();}
  ~Wave4() {};

  // Access an element of the wave vector.
  complex& operator() (int i) {return val[i];}

  // Wave4 + Wave4.
  Wave4 operator+(Wave4 w) {return Wave4( val[0] + w.val[0],
    val[1] + w.val[1], val[2] + w.val[2], val[3] + w.val[3]);}

  // Wave4 - Wave4.
  Wave4 operator-(Wave4 w) {return Wave4( val[0] - w.val[0],
    val[1] - w.val[1], val[2] - w.val[2], val[3] - w.val[3]);}

  // - Wave4.
  Wave4 operator-() {return Wave4(-val[0], -val[1], -val[2], -val[3]);}

  // Wave4 * Wave4.
  complex operator*(Wave4 w) {return val[0] * w.val[0]
    + val[1] * w.val[1] + val[2] * w.val[2] + val[3] * w.val[3];}

  // Wave4 * complex.
  Wave4 operator*(complex s) {return Wave4(val[0] * s, val[1] * s,
    val[2] * s, val[3] * s);}

  // complex * Wave4.
  friend Wave4 operator*(complex s, const Wave4& w);
 
  // Wave4 * double.
  Wave4 operator*(double s) {return Wave4(val[0] * s, val[1] * s,
    val[2] * s, val[3] * s);}

  // double * Wave4.
  friend Wave4 operator*(double s, const Wave4& w);
 
  // Wave4 / complex.
  Wave4 operator/(complex s) {return Wave4(val[0] / s, val[1] / s,
    val[2] / s, val[3] / s);}

  // Wave4 / double.
  Wave4 operator/(double s) {return Wave4(val[0] / s, val[1] / s,
    val[2]/s, val[3]/s);}

  // Complex conjugate.
  friend Wave4 conj(Wave4 w);

  // Permutation operator.
  friend Wave4 epsilon(Wave4 w1, Wave4 w2, Wave4 w3);

  // Invariant squared mass for REAL Wave4 (to save time).
  friend double m2(Wave4 w);
  friend double m2(Wave4 w1, Wave4 w2);
  
  // Wave4 * GammaMatrix multiplication is defined in the GammaMatrix class.

  // Print a Wave4 vector.
  friend ostream& operator<<(ostream& output, Wave4 w);

protected:

  complex val[4];

};

//--------------------------------------------------------------------------

// Namespace function declarations; friends of Wave4 class.
Wave4 operator*(complex s, const Wave4& w);
Wave4 operator*(double s, const Wave4& w);
Wave4 conj(Wave4 w);
Wave4 epsilon(Wave4 w1, Wave4 w2, Wave4 w3);
double m2(Wave4 w);
double m2(Wave4 w1, Wave4 w2);
ostream& operator<< (ostream& os, Wave4 w);

//==========================================================================

// The GammaMatrix class is a special sparse matrix class used to write
// helicity matrix elements in conjuction with the Wave4 class. Note that
// only left to right multplication of Wave4 vectors with the GammaMatrix
// class is allowed. Additionally, subtracting a scalar from a GammaMatrix
// (or subtracting a GammaMatrix from a scalar) subtracts the scalar from
//each non-zero element of the GammaMatrix. This is designed specifically
// with the (1 - gamma^5) structure of matrix elements in mind.
 
class GammaMatrix {

public:

  // Constructors and destructor.
  GammaMatrix() {};
  GammaMatrix(int mu);
  ~GammaMatrix() {};

  // Access an element of the matrix.
  complex& operator() (int I, int J) {if (index[J] == I) return val[J];
    else return COMPLEXZERO; }

  // Wave4 * GammaMatrix.
  friend Wave4 operator*(Wave4 w, GammaMatrix g);

  // GammaMatrix * Scalar.
  GammaMatrix operator*(complex s) {val[0] = s*val[0]; val[1] = s*val[1];
    val[2] = s*val[2]; val[3] = s*val[3]; return *this;}

  // Scalar * GammaMatrix.
  friend GammaMatrix operator*(complex s, GammaMatrix g);
  
  // Gamma5 - I * Scalar.
  GammaMatrix operator-(complex s) {val[0] = val[0] - s; val[1] = val[1] - s;
    val[2] = val[2] - s; val[3] = val[3] - s; return *this;}

  // I * Scalar - Gamma5.
  friend GammaMatrix operator-(complex s, GammaMatrix g);

  // Gamma5 + I * Scalar
  GammaMatrix operator+(complex s) {val[0] = val[0] + s; val[1] = val[1] + s;
    val[2] = val[2] + s; val[3] = val[3] + s; return *this;}

  // I * Scalar + Gamma5
  friend GammaMatrix operator+(complex s, GammaMatrix g);

  // << GammaMatrix.
  friend ostream& operator<< (ostream& os, GammaMatrix g);

protected:

  complex val[4];
  int     index[4];

  // Need to define complex 0 as a variable for operator() to work.
  complex COMPLEXZERO;

};

//--------------------------------------------------------------------------

// Namespace function declarations; friends of GammaMatrix class.
Wave4 operator*(Wave4 w, GammaMatrix g);
GammaMatrix operator*(complex s, GammaMatrix g);
GammaMatrix operator-(complex s, GammaMatrix g);
GammaMatrix operator+(complex s, GammaMatrix g);
ostream& operator<< (ostream& os, GammaMatrix g);

//==========================================================================

// Helicity particle class containing helicity information, derived from
// particle base class.
 
class HelicityParticle : public Particle {
  
public:
  
  // Constructors.
  HelicityParticle() : Particle() { direction = 1;}
  HelicityParticle(int idIn, int statusIn = 0, int mother1In = 0,
    int mother2In = 0, int daughter1In = 0, int daughter2In = 0,
    int colIn = 0, int acolIn = 0, double pxIn = 0.,
    double pyIn = 0., double pzIn = 0., double eIn = 0.,
    double mIn = 0., double scaleIn = 0., ParticleData* ptr = 0)
    : Particle(idIn, statusIn, mother1In, mother2In, daughter1In, daughter2In,
    colIn, acolIn, pxIn, pyIn, pzIn, eIn, mIn, scaleIn) {
    if (ptr) setPDEPtr( ptr->particleDataEntryPtr( idIn) );
    rho = vector< vector >(spinStates(),
      vector(spinStates(), 0));
    D   = vector< vector >(spinStates(),
      vector(spinStates(), 0));
    for (int i = 0; i < spinStates(); i++) { rho[i][i] = 0.5; D[i][i] = 1.;}
    direction = 1; }
  HelicityParticle(int idIn, int statusIn, int mother1In, int mother2In,
    int daughter1In, int daughter2In, int colIn, int acolIn, Vec4 pIn,
    double mIn = 0., double scaleIn = 0., ParticleData* ptr = 0)
    : Particle(idIn, statusIn, mother1In, mother2In, daughter1In, daughter2In,
    colIn, acolIn, pIn, mIn, scaleIn) {
    if (ptr) setPDEPtr( ptr->particleDataEntryPtr( idIn) );
    rho = vector< vector >(spinStates(),
      vector(spinStates(), 0));
    D   = vector< vector >(spinStates(),
      vector(spinStates(), 0));
    for (int i = 0; i < spinStates(); i++) { rho[i][i] = 0.5; D[i][i] = 1;}
    direction = 1; }
  HelicityParticle(const Particle& ptIn, ParticleData* ptr = 0)
    : Particle(ptIn) {
    if (ptr) setPDEPtr( ptr->particleDataEntryPtr( id()) );
    rho = vector< vector >(spinStates(),
      vector(spinStates(), 0));
    D   = vector< vector >(spinStates(),
      vector(spinStates(), 0));
    for (int i = 0; i < spinStates(); i++) { rho[i][i] = 0.5; D[i][i] = 1;}
    direction = 1; }
 
  // Methods.
  Wave4 wave(int h);
  Wave4 waveBar(int h);
  void normalize(vector< vector >& m);
  int spinStates();
  
  // Event record position.
  int idx;
  
  // Flag for whether particle is incoming (-1) or outgoing (1).
  int direction;
  
  // Helicity density matrix.
  vector< vector > rho;
  
  // Decay matrix.
  vector< vector > D;

private:

  // Constants: could only be changed in the code itself.
  static const double TOLERANCE;

};

//==========================================================================
  
} // end namespace Pythia8

#endif // end Pythia8_HelicityBasics_H
pythia8-8.1.86.orig/include/Pythia8/MergingHooks.h0000644000175000017500000007110212357054734020070 0ustar  sunsun// MergingHooks.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file is written by Stefan Prestel.
// Header file to allow user access to program at different stages.
// HardProcess: Container class for the hard process to be merged. Holds the
//              bookkeeping of particles not be be reclustered
// MergingHooks: Steering class for matrix element merging. Some functions can
//               be redefined in a derived class to have access to the merging

#ifndef Pythia8_MergingHooks_H
#define Pythia8_MergingHooks_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// Declaration of hard process class
// This class holds information on the desired hard 2->2 process
// for the merging.
// This class is a container class for History class use.

class HardProcess {

public:

   // Flavour of the first incoming particle
  int hardIncoming1;
  // Flavour of the second incoming particle
  int hardIncoming2;
  // Flavours of the outgoing particles
  vector hardOutgoing1;
  vector hardOutgoing2;
  // Flavour of intermediate bosons in the hard 2->2
  vector hardIntermediate;

  // Current reference event
  Event state;
  // Potential positions of outgoing particles in reference event
  vector PosOutgoing1;
  vector PosOutgoing2;
  // Potential positions of intermediate bosons in reference event
  vector PosIntermediate;

  // Information on merging scale read from LHE file
  double tms;

  // Default constructor
  HardProcess(){}
  // Default destructor
  ~HardProcess(){}

  // Copy constructor
  HardProcess( const HardProcess& hardProcessIn )
    : state(hardProcessIn.state),
      tms(hardProcessIn.tms) {
    hardIncoming1 = hardProcessIn.hardIncoming1;
    hardIncoming2 = hardProcessIn.hardIncoming2;
    for(int i =0; i < int(hardProcessIn.hardOutgoing1.size());++i)
      hardOutgoing1.push_back( hardProcessIn.hardOutgoing1[i]);
    for(int i =0; i < int(hardProcessIn.hardOutgoing2.size());++i)
      hardOutgoing2.push_back( hardProcessIn.hardOutgoing2[i]);
    for(int i =0; i < int(hardProcessIn.hardIntermediate.size());++i)
      hardIntermediate.push_back( hardProcessIn.hardIntermediate[i]);
    for(int i =0; i < int(hardProcessIn.PosOutgoing1.size());++i)
      PosOutgoing1.push_back( hardProcessIn.PosOutgoing1[i]);
    for(int i =0; i < int(hardProcessIn.PosOutgoing2.size());++i)
      PosOutgoing2.push_back( hardProcessIn.PosOutgoing2[i]);
    for(int i =0; i < int(hardProcessIn.PosIntermediate.size());++i)
      PosIntermediate.push_back( hardProcessIn.PosIntermediate[i]);
  }

  // Constructor with path to LHE file
  HardProcess( string LHEfile, ParticleData* particleData) {
    state = Event();
    state.init("(hard process)", particleData);
    translateLHEFString(LHEfile);
  }

  // Constructor with core process input
  void initOnProcess( string process, ParticleData* particleData);

  // Constructor with path to LHE file input
  void initOnLHEF( string LHEfile, ParticleData* particleData);

  // Function to access the LHE file and read relevant information
  void translateLHEFString( string LHEpath);

  // Function to translate the process string (in MG/ME notation)
  void translateProcessString( string process);

  // Function to clear hard process information
  void clear();

  // Function to check whether the sets of candidates Pos1, Pos2, together
  // with the proposed candidate iPos give an allowed hard process state
  bool allowCandidates(int iPos, vector Pos1, vector Pos2,
    const Event& event);
  // Function to identify the hard subprocess in the current event
  void storeCandidates( const Event& event, string process);
  // Function to check if the particle event[iPos] matches any of
  // the stored outgoing particles of the hard subprocess
  bool matchesAnyOutgoing(int iPos, const Event& event);
  // Function to check if instead of the particle event[iCandidate], another
  // particle could serve as part of the hard process. Assumes that iCandidate
  // is already stored as part of the hard process.
  bool findOtherCandidates(int iPos, const Event& event, bool doReplace);
  // Function to exchange a stored hard process candidate with another choice.
  bool exchangeCandidates( vector candidates1, vector candidates2,
    map further1, map further2);

  // Function to get the number of coloured final state partons in the
  // hard process
  int nQuarksOut();
  // Function to get the number of uncoloured final state particles in the
  // hard process
  int nLeptonOut();
  // Function to get the number of electroweak final state bosons in the
  // hard process
  int nBosonsOut();

  // Function to get the number of coloured initial state partons in the
  // hard process
  int nQuarksIn();
  // Function to get the number of uncoloured initial state particles in the
  // hard process
  int nLeptonIn();
  // Function to report if a resonace decay was found in the 2->2 sub-process
  // of the  current state
  int hasResInCurrent();
  // Function to report the number of resonace decays in the 2->2 sub-process
  // of the  current state
  int nResInCurrent();
  // Function to report if a resonace decay was found in the 2->2 hard process
  bool hasResInProc();
  // Function to print the hard process (for debug)
  void list() const;
  // Function to print the hard process candidates in the
  // Matrix element state (for debug)
  void listCandidates() const;

};

//==========================================================================

// MergingHooks is base class for user input to the merging procedure.

class MergingHooks {

public:

  // Constructor.
  MergingHooks() :
    doUserMergingSave(false),
    doMGMergingSave(false),
    doKTMergingSave(false),
    doPTLundMergingSave(false),
    doCutBasedMergingSave(false),
    doNL3TreeSave(false),
    doNL3LoopSave(false),
    doNL3SubtSave(false),
    doUNLOPSTreeSave(false),
    doUNLOPSLoopSave(false),
    doUNLOPSSubtSave(false),
    doUNLOPSSubtNLOSave(false),
    doUMEPSTreeSave(false),
    doUMEPSSubtSave(false),
    doEstimateXSection(false),
    doRemoveDecayProducts(false),
    doOrderHistoriesSave(true),
    doCutOnRecStateSave(false),
    doWClusteringSave(false),
    doSQCDClusteringSave(false),
    doIgnoreEmissionsSave(true),
    doIgnoreStepSave(true) {
      inputEvent = Event(); resonances.resize(0); infoPtr = 0;
      particleDataPtr = 0; partonSystemsPtr = 0;}

  // Make History class friend to allow access to advanced switches
  friend class History;
  // Make Pythia class friend
  friend class Pythia;
  // Make PartonLevel class friend
  friend class PartonLevel;
  // Make SpaceShower class friend
  friend class SpaceShower;
  // Make TimeShower class friend
  friend class TimeShower;
  // Make Merging class friend
  friend class Merging;

  //----------------------------------------------------------------------//
  // Functions that allow user interference
  //----------------------------------------------------------------------//

  // Destructor.
  virtual ~MergingHooks(){}
  // Function encoding the functional definition of the merging scale
  virtual double tmsDefinition( const Event& event){ return event[0].e();}
  // Function to dampen weights calculated from histories with lowest
  // multiplicity reclustered events that do not pass the ME cuts
  virtual double dampenIfFailCuts( const Event& inEvent ) {
    // Dummy statement to avoid compiler warnings
    if(false) cout << inEvent[0].e();
    return 1.;
  }
  // Hooks to disallow states in the construction of all histories, e.g.
  // because jets are below the merging scale or fail the matrix element cuts
  // Function to allow interference in the construction of histories
  virtual bool canCutOnRecState() { return doCutOnRecStateSave; }
  // Function to check reclustered state while generating all possible
  // histories
  // Function implementing check of reclustered events while constructing
  // all possible histories
  virtual bool doCutOnRecState( const Event& event ) {
    // Dummy statement to avoid compiler warnings.
    if(false) cout << event[0].e();
    // Count number of final state partons.
    int nPartons = 0;
    for( int i=0; i < int(event.size()); ++i)
      if(  event[i].isFinal()
        && (event[i].isGluon() || event[i].isQuark()) )
        nPartons++;
    // For gg -> h, allow only histories with gluons in initial state
    if( hasEffectiveG2EW() && nPartons < 2){
      if(event[3].id() != 21 && event[4].id() != 21)
        return true;
    }
    return false;
  }
  // Function to allow not counting a trial emission.
  virtual bool canVetoTrialEmission() { return false;}
  // Function to check if trial emission should be rejected.
  virtual bool doVetoTrialEmission( const Event&, const Event& ) {
    return false; }

  // Function to calculate the hard process matrix element.
  virtual double hardProcessME( const Event& inEvent ) {
    // Dummy statement to avoid compiler warnings.
    if ( false ) cout << inEvent[0].e(); return 1.; }

  //----------------------------------------------------------------------//
  // Simple output functions
  //----------------------------------------------------------------------//

  // Function returning the value of the merging scale.
  double tms() {
    if(doCutBasedMergingSave) return 0.;
    else return tmsValueSave;
  }
  // Function returning the value of the Delta R_{ij} cut for
  // cut based merging scale definition.
  double dRijMS() {
    return ((tmsListSave.size() == 3) ? tmsListSave[0] : 0.);
  }
  // Function returning the value of the pT_{i} cut for
  // cut based merging scale definition.
  double pTiMS() {
    return ((tmsListSave.size() == 3) ? tmsListSave[1] : 0.);
  }
  // Function returning the value of the pT_{i} cut for
  // cut based merging scale definition.
  double QijMS() {
    return ((tmsListSave.size() == 3) ? tmsListSave[2] : 0.);
  }
  // Function returning the value of the maximal number of merged jets.
  int nMaxJets() { return nJetMaxSave;}
  // Function returning the value of the maximal number of merged jets,
  // for which NLO corrections are available.
  int nMaxJetsNLO() { return nJetMaxNLOSave;}
  // Function to return hard process string.
  string getProcessString() { return processSave;}
  // Function to return the number of outgoing partons in the core process
  int nHardOutPartons(){ return hardProcess.nQuarksOut();}
  // Function to return the number of outgoing leptons in the core process
  int nHardOutLeptons(){ return hardProcess.nLeptonOut();}
  // Function to return the number of outgoing electroweak bosons in the core
  // process.
  int nHardOutBosons(){ return hardProcess.nBosonsOut();}
  // Function to return the number of incoming partons (hadrons) in the core
  // process.
  int nHardInPartons(){ return hardProcess.nQuarksIn();}
  // Function to return the number of incoming leptons in the core process.
  int nHardInLeptons(){ return hardProcess.nLeptonIn();}
  // Function to report the number of resonace decays in the 2->2 sub-process
  // of the  current state.
  int nResInCurrent(){ return hardProcess.nResInCurrent();}
  // Function to determine if user defined merging should be applied.
  bool doUserMerging(){ return doUserMergingSave;}
  // Function to determine if automated MG/ME merging should be applied.
  bool doMGMerging() { return doMGMergingSave;}
  // Function to determine if KT merging should be applied.
  bool doKTMerging() { return doKTMergingSave;}
  // Function to determine if PTLund merging should be applied.
  bool doPTLundMerging() { return doPTLundMergingSave;}
  // Function to determine if cut based merging should be applied.
  bool doCutBasedMerging() { return doCutBasedMergingSave;}
  bool doCKKWLMerging() { return (doUserMergingSave || doMGMergingSave
    || doKTMergingSave || doPTLundMergingSave || doCutBasedMergingSave); }
  // Functions to determine if and which part of  UMEPS merging
  // should be applied
  bool doUMEPSTree() { return doUMEPSTreeSave;}
  bool doUMEPSSubt() { return doUMEPSSubtSave;}
  bool doUMEPSMerging() { return (doUMEPSTreeSave || doUMEPSSubtSave);}
  // Functions to determine if and which part of  NL3 merging
  // should be applied
  bool doNL3Tree() { return doNL3TreeSave;}
  bool doNL3Loop() { return doNL3LoopSave;}
  bool doNL3Subt() { return doNL3SubtSave;}
  bool doNL3Merging() { return (doNL3TreeSave || doNL3LoopSave
                             || doNL3SubtSave); }
  // Functions to determine if and which part of UNLOPS merging
  // should be applied
  bool doUNLOPSTree() { return doUNLOPSTreeSave;}
  bool doUNLOPSLoop() { return doUNLOPSLoopSave;}
  bool doUNLOPSSubt() { return doUNLOPSSubtSave;}
  bool doUNLOPSSubtNLO() { return doUNLOPSSubtNLOSave;}
  bool doUNLOPSMerging() { return (doUNLOPSTreeSave || doUNLOPSLoopSave
                             || doUNLOPSSubtSave || doUNLOPSSubtNLOSave); }
  // Return the number clustering steps that have actually been done.
  int nRecluster() { return nReclusterSave;}

  //----------------------------------------------------------------------//
  // Output functions to analyse/prepare event for merging
  //----------------------------------------------------------------------//

  // Function to check if event contains an emission not present in the hard
  // process.
  bool isFirstEmission(const Event& event);

  // Function to allow effective gg -> EW boson couplings.
  bool hasEffectiveG2EW() {
    if ( getProcessString().compare("pp>h") == 0 ) return true;
    return false; }

  // Return event stripped from decay products.
  Event bareEvent( const Event& inputEventIn, bool storeInputEvent );
  // Write event with decay products attached to argument.
  bool reattachResonanceDecays( Event& process );

  // Check if particle at position iPos is part of the hard sub-system
  bool isInHard( int iPos, const Event& event);

  // Function to return the number of clustering steps for the current event
  int getNumberOfClusteringSteps(const Event& event);

  //----------------------------------------------------------------------//
  // Functions to steer contruction of histories
  //----------------------------------------------------------------------//

  // Function to force preferred picking of ordered histories. By default,
  // unordered histories will only be considered if no ordered histories
  // were found.
  void orderHistories( bool doOrderHistoriesIn) {
    doOrderHistoriesSave = doOrderHistoriesIn; }
  // Function to force cut on reconstructed states internally, as needed
  // for gg -> Higgs to ensure that e.g. uu~ -> Higgs is not constructed.
  void allowCutOnRecState( bool doCutOnRecStateIn) {
    doCutOnRecStateSave = doCutOnRecStateIn; }

  // Function to allow final state clusterings of W-bosons
  void doWClustering( bool doWClusteringIn ) {
    doWClusteringSave = doWClusteringIn; }

  //----------------------------------------------------------------------//
  // Functions used as default merging scales
  //----------------------------------------------------------------------//

  // Function to check if the input particle is a light jet, i.e. should be
  // checked against the merging scale defintion.
  bool checkAgainstCut( const Particle& particle);
  // Function to return the value of the merging scale function in the
  // current event.
  double tmsNow( const Event& event );
  // Find the minimal Lund pT between coloured partons in the event
  double rhoms( const Event& event, bool withColour);
  // Function to calculate the minimal kT in the event
  double kTms(const Event & event);
  // Find the if the event passes the Delta R_{ij}, pT_{i} and Q_{ij} cuts on
  // the matrix element, as needed for cut-based merging scale definition
  double cutbasedms( const Event& event );

protected:

  //----------------------------------------------------------------------//
  // The members, switches etc.
  //----------------------------------------------------------------------//

  // Helper class doing all the core process book-keeping
  HardProcess hardProcess;

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

  // Pointer to the particle systems.
  PartonSystems* partonSystemsPtr;

  // AlphaS objects for alphaS reweighting use
  AlphaStrong AlphaS_FSRSave;
  AlphaStrong AlphaS_ISRSave;
  AlphaEM AlphaEM_FSRSave;

  // Saved path to LHE file for more automated merging
  string lheInputFile;

  // Flags for merging procedure definition.
  bool   doUserMergingSave, doMGMergingSave, doKTMergingSave,
         doPTLundMergingSave, doCutBasedMergingSave,
         includeMassiveSave, enforceStrongOrderingSave, orderInRapiditySave,
         pickByFullPSave, pickByPoPT2Save, includeRedundantSave,
         pickBySumPTSave, allowColourShufflingSave, resetHardQRenSave,
         resetHardQFacSave;
  int    unorderedScalePrescipSave, unorderedASscalePrescipSave,
         unorderedPDFscalePrescipSave, incompleteScalePrescipSave,
         ktTypeSave, nReclusterSave, nQuarksMergeSave;
  double scaleSeparationFactorSave, nonJoinedNormSave,
         fsrInRecNormSave, herwigAcollFSRSave, herwigAcollISRSave,
         pT0ISRSave, pTcutSave;
  bool   doNL3TreeSave, doNL3LoopSave, doNL3SubtSave;
  bool   doUNLOPSTreeSave, doUNLOPSLoopSave, doUNLOPSSubtSave,
         doUNLOPSSubtNLOSave;
  bool   doUMEPSTreeSave, doUMEPSSubtSave;

  // Flag to only do phase space cut, rejecting events below the tms cut.
  bool   doEstimateXSection;

  // Save input event in case decay products need to be detached.
  Event inputEvent;
  vector< pair > resonances;
  bool doRemoveDecayProducts;

  // Starting scale for attaching MPI.
  double muMISave;

  // Precalculated K-factors.
  double kFactor0jSave;
  double kFactor1jSave;
  double kFactor2jSave;

  // Saved members.
  double tmsValueSave, DparameterSave;
  int nJetMaxSave;
  int nJetMaxNLOSave;
  string processSave;

  // List of cut values to used to define a merging scale. Ordering:
  // 0: DeltaR_{jet_i,jet_j,min}
  // 1: p_{T,jet_i,min}
  // 2: Q_{jet_i,jet_j,min}
  vector tmsListSave;

  // INTERNAL Hooks to allow construction of all histories,
  // including un-ordered ones
  bool doOrderHistoriesSave;

  // INTERNAL Hooks to disallow states in the construction of all histories,
  // e.g. because jets are below the merging scale, of to avoid the
  // construction of uu~ -> Higgs histories.
  bool doCutOnRecStateSave;

  // INTERNAL Hooks to allow clustering W bosons.
  bool doWClusteringSave, doSQCDClusteringSave;

  // Store / get first scale in PDF's that Pythia should have used
  double muFSave;
  double muRSave;

  // Store / get factorisation scale used in matrix element calculation.
  double muFinMESave;
  double muRinMESave;

  // Flag to indicate trial shower usage.
  bool doIgnoreEmissionsSave;
  // Flag to indicate if events should be vetoed.
  bool doIgnoreStepSave;
  // Stored weights in case veot needs to be revoked
  double pTsave;
  double weightCKKWL1Save, weightCKKWL2Save;
  int nMinMPISave;
  // Save CKKW-L weight / O(\alpha_s) weight.
  double weightCKKWLSave, weightFIRSTSave;

  //----------------------------------------------------------------------//
  // Generic setup functions
  //----------------------------------------------------------------------//

  // Functions for internal use inside Pythia source code
  // Initialize.
  void init( Settings settings, Info* infoPtrIn,
    ParticleData* particleDataPtrIn, PartonSystems* partonSystemsPtrIn,
    ostream& os = cout);

  // Function storing candidates for the hard process in the current event
  // Needed in order not to cluster members of the core process
  void storeHardProcessCandidates(const Event& event){
    hardProcess.storeCandidates(event,getProcessString());
  }
  // Function to set the path to the LHE file, so that more automated merging
  // can be used.
  // Remove "_1.lhe" suffix from LHE file name.
  // This is done so that the HarsProcess class can access both the +0 and +1
  // LHE files to find both the merging scale and the core process string
  // Store.
  void setLHEInputFile( string lheFile) {
    lheInputFile = lheFile.substr(0,lheFile.size()-6); }

  //----------------------------------------------------------------------//
  // Functions for output of class members.
  //----------------------------------------------------------------------//

  // Return AlphaStrong objects
  AlphaStrong* AlphaS_FSR() { return &AlphaS_FSRSave;}
  AlphaStrong* AlphaS_ISR() { return &AlphaS_ISRSave;}
  AlphaEM* AlphaEM_FSR() { return &AlphaEM_FSRSave;}

  // Functions to return advanced merging switches
  // Include masses in definition of evolution pT and splitting kernels
  bool includeMassive() { return includeMassiveSave;}
  // Prefer strongly ordered histories
  bool enforceStrongOrdering() { return enforceStrongOrderingSave;}
  // Prefer histories ordered in rapidity and evolution pT
  bool orderInRapidity() { return orderInRapiditySave;}
  // Pick history probabilistically by full (correct) splitting probabilities
  bool pickByFull() { return pickByFullPSave;}
  // Pick history probabilistically, with easier form of probabilities
  bool pickByPoPT2() { return pickByPoPT2Save;}
  // Include redundant terms (e.g. PDF ratios) in the splitting probabilities
  bool includeRedundant(){ return includeRedundantSave;}
  // Pick by winner-takes-it-all, with minimum sum of scalar evolution pT
  bool pickBySumPT(){ return pickBySumPTSave;}

  // Prescription for combined scale of unordered emissions
  // 0 : use larger scale
  // 1 : use smaller scale
  int unorderedScalePrescip() { return unorderedScalePrescipSave;}
  // Prescription for combined scale used in alpha_s for unordered emissions
  // 0 : use combined emission scale in alpha_s weight for both (!) splittings
  // 1 : use original reclustered scales of each emission in alpha_s weight
  int unorderedASscalePrescip() { return unorderedASscalePrescipSave;}
  // Prescription for combined scale used in PDF ratios for unordered
  // emissions
  // 0 : use combined emission scale in PDFs for both (!) splittings
  // 1 : use original reclustered scales of each emission in PDF ratiost
  int unorderedPDFscalePrescip() { return unorderedPDFscalePrescipSave;}
  // Prescription for starting scale of incomplete histories
  // 0: use factorization scale
  // 1: use sHat
  // 2: use s
  int incompleteScalePrescip() { return incompleteScalePrescipSave;}

  // Allow swapping one colour index while reclustering
  bool allowColourShuffling() { return allowColourShufflingSave;}

  // Allow use of dynamical renormalisation scale of the core 2-> 2 process.
  bool resetHardQRen() { return resetHardQRenSave; }
  // Allow use of dynamical factorisation scale of the core 2-> 2 process.
  bool resetHardQFac() { return resetHardQFacSave; }

  // Factor by which two scales should differ to be classified strongly
  // ordered.
  double scaleSeparationFactor() { return scaleSeparationFactorSave;}
  // Absolute normalization of splitting probability for non-joined
  // evolution.
  double nonJoinedNorm() { return nonJoinedNormSave;}
  // Absolute normalization of splitting probability for final state
  // splittings with initial state recoiler
  double fsrInRecNorm() { return fsrInRecNormSave;}
  // Factor multiplying scalar evolution pT for FSR splitting, when picking
  // history by minimum scalar pT (see Jonathan Tully's thesis)
  double herwigAcollFSR() { return herwigAcollFSRSave;}
  // Factor multiplying scalar evolution pT for ISR splitting, when picking
  // history by minimum scalar pT (see Jonathan Tully's thesis)
  double herwigAcollISR() { return herwigAcollISRSave;}
  // ISR regularisation scale
  double pT0ISR() { return pT0ISRSave;}
  // Shower cut-off scale
  double pTcut() { return pTcutSave;}

  // MI starting scale.
  void muMI( double mu) { muMISave = mu; }
  double muMI() { return muMISave;}

  // Full k-Factor for current event
  double kFactor(int njet = 0) {
    return (njet == 0) ? kFactor0jSave
          :(njet == 1) ? kFactor1jSave
          : kFactor2jSave;
  }
  // O(\alhpa_s)-term of the k-Factor for current event
  double k1Factor( int njet = 0) {
    return (kFactor(njet) - 1)/infoPtr->alphaS();
  }

  // Function to return if construction of histories is biased towards ordered
  // histories.
  bool orderHistories() { return doOrderHistoriesSave;}

  // INTERNAL Hooks to disallow states in the construction of all histories,
  // e.g. because jets are below the merging scale, of to avoid the
  // construction of uu~ -> Higgs histories.
  bool allowCutOnRecState() { return doCutOnRecStateSave;}

  // INTERNAL Hooks to allow clustering W bosons.
  bool doWClustering() { return doWClusteringSave;}
  // INTERNAL Hooks to allow clustering clustering of gluons to squarks.
  bool doSQCDClustering() { return doSQCDClusteringSave;}

  // Store / get first scale in PDF's that Pythia should have used
  double muF() { return (muFSave > 0.) ? muFSave : infoPtr->QFac();}
  double muR() { return (muRSave > 0.) ? muRSave : infoPtr->QRen();}
  // Store / get factorisation scale used in matrix element calculation.
  double muFinME() { return (muFinMESave > 0.) ? muFinMESave
                       : infoPtr->QFac();}
  double muRinME() { return (muRinMESave > 0.) ? muRinMESave
                       : infoPtr->QRen();}

  //----------------------------------------------------------------------//
  // Functions to steer shower evolution
  //----------------------------------------------------------------------//

  // Flag to indicate trial shower usage.
  void doIgnoreEmissions( bool doIgnoreIn ) {
    doIgnoreEmissionsSave = doIgnoreIn;
  }
  // Function to allow not counting a trial emission.
  bool canVetoEmission() { return !doIgnoreEmissionsSave; }
  // Function to check if emission should be rejected.
  bool doVetoEmission( const Event& );

  // Flag to indicate if events should be vetoed.
  void doIgnoreStep( bool doIgnoreIn ) { doIgnoreStepSave = doIgnoreIn; }
  // Function to allow event veto.
  bool canVetoStep() { return !doIgnoreStepSave; }
  // Function to check event veto.
  bool doVetoStep( const Event& process, const Event& event,
    bool doResonance = false );

  // Stored weights in case veot needs to be revoked
  void storeWeights( double weight ){ weightCKKWL1Save = weightCKKWL2Save
     = weight; }

  // Set starting scales
  bool setShowerStartingScales( bool isTrial, bool doMergeFirstEmm,
    double& pTscaleIn, const Event& event,
    double& pTmaxFSRIn, bool& limitPTmaxFSRin,
    double& pTmaxISRIn, bool& limitPTmaxISRin,
    double& pTmaxMPIIn, bool& limitPTmaxMPIin );
  void nMinMPI( int nMinMPIIn ) { nMinMPISave = nMinMPIIn; }
  int nMinMPI() { return nMinMPISave;}

  //----------------------------------------------------------------------//
  // Functions for internal merging scale definions
  //----------------------------------------------------------------------//

  // Function to calculate the kT separation between two particles
  double kTdurham(const Particle& RadAfterBranch,
    const Particle& EmtAfterBranch, int Type, double D );
  // Function to compute "pythia pT separation" from Particle input
  double rhoPythia(const Particle& RadAfterBranch,
    const Particle& EmtAfterBranch, const Particle& RecAfterBranch,
    int ShowerType);
  // Function to find a colour (anticolour) index in the input event,
  // used to find colour-connected recoilers
  int findColour(int col, int iExclude1, int iExclude2,
    const Event& event, int type, bool isHardIn);
  // Function to compute Delta R separation from 4-vector input
  double deltaRij(Vec4 jet1, Vec4 jet2);

  //----------------------------------------------------------------------//
  // Functions for weight management
  //----------------------------------------------------------------------//

  // Function to get the CKKW-L weight for the current event
  double getWeightNLO() { return (weightCKKWLSave - weightFIRSTSave);}
  // Return CKKW-L weight.
  double getWeightCKKWL() { return weightCKKWLSave; }
  // Return O(\alpha_s) weight.
  double getWeightFIRST() { return weightFIRSTSave; }
  // Set CKKW-L weight.
  void setWeightCKKWL( double weightIn){
    weightCKKWLSave = weightIn;
    infoPtr->setWeightCKKWL(weightIn); }
  // Set O(\alpha_s) weight.
  void setWeightFIRST( double weightIn){
    weightFIRSTSave = weightIn;
    infoPtr->setWeightFIRST(weightIn); }

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_MergingHooks_H
pythia8-8.1.86.orig/include/Pythia8/UserHooks.h0000644000175000017500000002523612357054745017427 0ustar  sunsun// UserHooks.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file to allow user access to program at different stages.
// UserHooks: almost empty base class, with user to write the rela code.
// MyUserHooks: derived class, only intended as an example.

#ifndef Pythia8_UserHooks_H
#define Pythia8_UserHooks_H

#include "Pythia8/Event.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {

//==========================================================================

// Forward reference to the PhaseSpace class.
class PhaseSpace;

//==========================================================================

// UserHooks is base class for user access to program execution.

class UserHooks {

public:

  // Destructor.
  virtual ~UserHooks() {}

  // Initialize pointers and workEvent. Note: not virtual.
  void initPtr( Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn,  Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    BeamParticle* beamPomAPtrIn, BeamParticle* beamPomBPtrIn,
    CoupSM* coupSMPtrIn, PartonSystems* partonSystemsPtrIn,
    SigmaTotal* sigmaTotPtrIn) { infoPtr = infoPtrIn;
    settingsPtr = settingsPtrIn; particleDataPtr = particleDataPtrIn;
    rndmPtr = rndmPtrIn; beamAPtr = beamAPtrIn; beamBPtr = beamBPtrIn;
    beamPomAPtr = beamPomAPtrIn; beamPomBPtr = beamPomBPtrIn;
    coupSMPtr = coupSMPtrIn; partonSystemsPtr = partonSystemsPtrIn;
    sigmaTotPtr = sigmaTotPtrIn;
    workEvent.init("(work event)", particleDataPtr);}

  // Initialisation after beams have been set by Pythia::init()
  virtual bool initAfterBeams() { return true; }

  // Possibility to modify cross section of process.
  virtual bool canModifySigma() {return false;}

  // Multiplicative factor modifying the cross section of a hard process.
  virtual double multiplySigmaBy(const SigmaProcess* sigmaProcessPtr,
    const PhaseSpace* phaseSpacePtr, bool inEvent);

  // Possibility to bias selection of events, compensated by a weight.
  virtual bool canBiasSelection() {return false;}

  // Multiplicative factor in the phase space selection of a hard process.
  virtual double biasSelectionBy(const SigmaProcess* sigmaProcessPtr,
    const PhaseSpace* phaseSpacePtr, bool inEvent);

  // Event weight to compensate for selection weight above.
  virtual double biasedSelectionWeight() {return 1./selBias;}

  // Possibility to veto event after process-level selection.
  virtual bool canVetoProcessLevel() {return false;}

  // Decide whether to veto current process or not, based on process record.
  // Usage: doVetoProcessLevel( process).
  virtual bool doVetoProcessLevel(Event& ) {return false;}

  // Possibility to veto resonance decay chain.
  virtual bool canVetoResonanceDecays() {return false;}

  // Decide whether to veto current resonance decay chain or not, based on
  // process record. Usage: doVetoProcessLevel( process).
  virtual bool doVetoResonanceDecays(Event& ) {return false;}

  // Possibility to veto MPI + ISR + FSR evolution and kill event,
  // making decision at a fixed pT scale. Useful for MLM-style matching.
  virtual bool canVetoPT() {return false;}

  // Transverse-momentum scale for veto test.
  virtual double scaleVetoPT() {return 0.;}

  // Decide whether to veto current event or not, based on event record.
  // Usage: doVetoPT( iPos, event), where iPos = 0: no emissions so far;
  // iPos = 1/2/3 joint evolution, latest step was MPI/ISR/FSR;
  // iPos = 4: FSR only afterwards; iPos = 5: FSR in resonance decay.
  virtual bool doVetoPT( int , const Event& ) {return false;}

  // Possibility to veto MPI + ISR + FSR evolution and kill event,
  // making decision after fixed number of ISR or FSR steps.
  virtual bool canVetoStep() {return false;}

  // Up to how many ISR + FSR steps of hardest interaction should be checked.
  virtual int numberVetoStep() {return 1;}

  // Decide whether to veto current event or not, based on event record.
  // Usage: doVetoStep( iPos, nISR, nFSR, event), where iPos as above,
  // nISR and nFSR number of emissions so far for hard interaction only.
  virtual bool doVetoStep( int , int , int , const Event& ) {return false;}

  // Possibility to veto MPI + ISR + FSR evolution and kill event,
  // making decision after fixed number of MPI steps.
  virtual bool canVetoMPIStep() {return false;}

  // Up to how many MPI steps should be checked.
  virtual int numberVetoMPIStep() {return 1;}

  // Decide whether to veto current event or not, based on event record.
  // Usage: doVetoMPIStep( nMPI, event), where nMPI is number of MPI's so far.
  virtual bool doVetoMPIStep( int , const Event& ) {return false;}
   
  // Possibility to veto event after ISR + FSR + MPI in parton level,
  // but before beam remnants and resonance decays.
  virtual bool canVetoPartonLevelEarly() {return false;}

  // Decide whether to veto current partons or not, based on event record.
  // Usage: doVetoPartonLevelEarly( event).
  virtual bool doVetoPartonLevelEarly( const Event& ) {return false;}

  // Retry same ProcessLevel with a new PartonLevel after a veto in
  // doVetoPT, doVetoStep, doVetoMPIStep or doVetoPartonLevelEarly
  // if you overload this method to return true.
  virtual bool retryPartonLevel() {return false;}
   
  // Possibility to veto event after parton-level selection.
  virtual bool canVetoPartonLevel() {return false;}

  // Decide whether to veto current partons or not, based on event record.
  // Usage: doVetoPartonLevel( event).
  virtual bool doVetoPartonLevel( const Event& ) {return false;}

  // Possibility to set initial scale in TimeShower for resonance decay.
  virtual bool canSetResonanceScale() {return false;}

  // Initial scale for TimeShower evolution.
  // Usage: scaleResonance( iRes, event), where iRes is location
  // of decaying resonance in the event record.
  virtual double scaleResonance( int, const Event& ) {return 0.;}

  // Possibility to veto an emission in the ISR machinery.
  virtual bool canVetoISREmission() {return false;}

  // Decide whether to veto current emission or not, based on event record.
  // Usage: doVetoISREmission( sizeOld, event, iSys) where sizeOld is size
  // of event record before current emission-to-be-scrutinized was added,
  // and iSys is the system of the radiation (according to PartonSystems).
  virtual bool doVetoISREmission( int, const Event&, int ) {return false;}

  // Possibility to veto an emission in the FSR machinery.
  virtual bool canVetoFSREmission() {return false;}

  // Decide whether to veto current emission or not, based on event record.
  // Usage: doVetoFSREmission( sizeOld, event, iSys, inResonance) where
  // sizeOld is size of event record before current emission-to-be-scrutinized
  // was added, iSys is the system of the radiation (according to
  // PartonSystems), and inResonance is true if the emission takes place in a
  // resonance decay.
  virtual bool doVetoFSREmission( int, const Event&, int, bool = false )
      {return false;}

  // Possibility to veto an MPI.
  virtual bool canVetoMPIEmission() { return false; }

  // Decide whether to veto an MPI based on event record.
  // Usage: doVetoMPIEmission( sizeOld, event) where sizeOld
  // is size of event record before the current MPI.
  virtual bool doVetoMPIEmission( int, const Event &) { return false; }

  // Possibility to reconnect colours from resonance decay systems.
  virtual bool canReconnectResonanceSystems() { return false; }

  // Do reconnect colours from resonance decay systems.
  // Usage: doVetoFSREmission( oldSizeEvt, event) 
  // where oldSizeEvent is the event size before resonance decays.
  // Should normally return true, while false means serious failure.
  // Value of PartonLevel:earlyResDec determines where method is called.
  virtual bool doReconnectResonanceSystems( int, Event &) {return true;}

protected:

  // Constructor.
  UserHooks() : infoPtr(0), settingsPtr(0), particleDataPtr(0), rndmPtr(0),
    beamAPtr(0), beamBPtr(0), beamPomAPtr(0), beamPomBPtr(0), coupSMPtr(0),
    partonSystemsPtr(0), sigmaTotPtr(0), selBias(1.) {}

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the settings database.
  Settings*      settingsPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

 // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointers to the two incoming beams and to Pomeron beam-inside-beam.
  BeamParticle*  beamAPtr;
  BeamParticle*  beamBPtr;
  BeamParticle*  beamPomAPtr;
  BeamParticle*  beamPomBPtr;

  // Pointers to Standard Model couplings.
  CoupSM*        coupSMPtr;

  // Pointer to information on subcollision parton locations.
  PartonSystems* partonSystemsPtr;

  // Pointer to the total/elastic/diffractive cross sections.
  SigmaTotal*    sigmaTotPtr;

  // omitResonanceDecays omits resonance decay chains from process record.
  void omitResonanceDecays(const Event& process, bool finalOnly = false);

  // subEvent extracts currently resolved partons in the hard process.
  void subEvent(const Event& event, bool isHardest = true);

  // Have one event object around as work area.
  Event workEvent;

  // User-imposed selection bias.
  double selBias;

};

//==========================================================================

// SuppressSmallPT is a derived class for user access to program execution.
// It is a simple example, illustrating how to suppress the cross section
// of 2 -> 2 processes by a factor pT^4 / (pT0^2 + pT^2)^2, with pT0 input,
// and also modify alpha_strong scale similarly.

class SuppressSmallPT : public UserHooks {
 
public:

  // Constructor.
  SuppressSmallPT( double pT0timesMPIIn = 1., int numberAlphaSIn = 0,
    bool useSameAlphaSasMPIIn = true) : pT20(0.) {isInit = false;
    pT0timesMPI = pT0timesMPIIn; numberAlphaS = numberAlphaSIn;
    useSameAlphaSasMPI = useSameAlphaSasMPIIn;}

  // Possibility to modify cross section of process.
  virtual bool canModifySigma() {return true;}

  // Multiplicative factor modifying the cross section of a hard process.
  // Usage: inEvent is true for event generation, false for initialization.
  virtual double multiplySigmaBy(const SigmaProcess* sigmaProcessPtr,
    const PhaseSpace* phaseSpacePtr, bool );

private:

  // Save input properties and the squared pT0 scale.
  bool   isInit, useSameAlphaSasMPI;
  int    numberAlphaS;
  double pT0timesMPI, pT20;

  // Alpha_strong calculation.
  AlphaStrong alphaS;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_UserHooks_H
pythia8-8.1.86.orig/include/Pythia8/ProcessLevel.h0000644000175000017500000001207612357054735020110 0ustar  sunsun// ProcessLevel.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the main class for process-level event generation.
// ProcessLevel: administrates the selection of "hard" process.

#ifndef Pythia8_ProcessLevel_H
#define Pythia8_ProcessLevel_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/ProcessContainer.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/ResonanceDecays.h"
#include "Pythia8/Settings.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/SusyCouplings.h"
#include "Pythia8/SLHAinterface.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/UserHooks.h"

namespace Pythia8 {
  
//==========================================================================

// The ProcessLevel class contains the top-level routines to generate
// the characteristic "hard" process of an event.

class ProcessLevel {

public:

  // Constructor.
  ProcessLevel() : iLHACont(-1) {}

  // Destructor to delete processes in containers.
  ~ProcessLevel();
 
  // Initialization.
  bool init( Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    Couplings* couplingsPtrIn, SigmaTotal* sigmaTotPtrIn, bool doLHAin,
    SLHAinterface* slhaInterfacePtrIn, UserHooks* userHooksPtrIn,
    vector& sigmaPtrs, ostream& os = cout);

  // Store or replace Les Houches pointer.
  void setLHAPtr( LHAup* lhaUpPtrIn) {lhaUpPtr = lhaUpPtrIn;
    if (iLHACont >= 0) containerPtrs[iLHACont]->setLHAPtr(lhaUpPtr);}
 
  // Generate the next "hard" process.
  bool next( Event& process);

  // Special case: LHA input of resonance decay only.
  bool nextLHAdec( Event& process);

  // Accumulate and update statistics (after possible user veto).
  void accumulate();

  // Print statistics on cross sections and number of events.
  void statistics(bool reset = false, ostream& os = cout);

  // Reset statistics.
  void resetStatistics();

  // Add any junctions to the process event record list.
  void findJunctions( Event& junEvent);

  // Initialize and call resonance decays separately.
  void initDecays( Info* infoPtrIn, ParticleData* particleDataPtrIn,
    Rndm* rndmPtrIn, LHAup* lhaUpPtrIn) { infoPtr = infoPtrIn;
    resonanceDecays.init( infoPtrIn, particleDataPtrIn, rndmPtrIn);
    containerLHAdec.setLHAPtr(lhaUpPtrIn, particleDataPtrIn); }
  bool nextDecays( Event& process) { return resonanceDecays.next( process);}

private:

  // Constants: could only be changed in the code itself.
  static const int MAXLOOP;

  // Generic info for process generation.
  bool   doSecondHard, doSameCuts, allHardSame, noneHardSame,
         someHardSame, cutsAgree, cutsOverlap, doResDecays;
  int    nImpact, startColTag;
  double mHatMin1, mHatMax1, pTHatMin1, pTHatMax1, mHatMin2, mHatMax2,
         pTHatMin2, pTHatMax2, sigmaND, sumImpactFac, sum2ImpactFac;

  // Vector of containers of internally-generated processes.
  vector containerPtrs;
  int    iContainer, iLHACont;
  double sigmaMaxSum;

  // Ditto for optional choice of a second hard process.
  vector container2Ptrs;
  int    i2Container;
  double sigma2MaxSum;

  // Single half-dummy container for LHA input of resonance decay only.
  ProcessContainer containerLHAdec;

  // Pointer to various information on the generation.
  Info*           infoPtr;

  // Pointer to the particle data table.
  ParticleData*   particleDataPtr;

  // Pointer to the random number generator.
  Rndm*           rndmPtr;

  // Pointers to the two incoming beams.
  BeamParticle*   beamAPtr;
  BeamParticle*   beamBPtr;

  // Pointer to Standard Model couplings, including alphaS and alphaEM.
  Couplings*      couplingsPtr;

  // Pointer to SigmaTotal object needed to handle soft QCD processes.
  SigmaTotal*     sigmaTotPtr;

  // Pointer to SusyLesHouches object for interface to SUSY spectra.
  SLHAinterface*  slhaInterfacePtr;

  // Pointer to userHooks object for user interaction with program.
  UserHooks*      userHooksPtr;

  // Pointer to LHAup for generating external events.
  LHAup*          lhaUpPtr;

  // ResonanceDecay object does sequential resonance decays.
  ResonanceDecays resonanceDecays;

  // Generate the next event with one interaction.
  bool nextOne( Event& process);

  // Generate the next event with two hard interactions.
  bool nextTwo( Event& process);

  // Append the second to the first process list.
  void combineProcessRecords( Event& process, Event& process2);

  // Check that colours match up.
  bool checkColours( Event& process);

  // Print statistics when two hard processes allowed.
  void statistics2(bool reset, ostream& os = cout);

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_ProcessLevel_H
pythia8-8.1.86.orig/include/Pythia8/HadronScatter.h0000644000175000017500000001265612357054733020245 0ustar  sunsun// HadronScatter.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

#ifndef Pythia8_HadronScatter_H
#define Pythia8_HadronScatter_H

#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/PythiaComplex.h"

namespace Pythia8 {

class SigmaPartialWave {
public:
  // Initialisation
  bool init(int, string, string, Info *, ParticleData *, Rndm *);

  // Read data file
  bool readFile(string, string);

  // Set the subprocess/incoming particles
  bool setSubprocess(int);
  bool setSubprocess(int, int);

  // Return sigma total/elastic, dSigma/dCos(theta)
  double sigmaEl(double Wcm)  { return sigma(0, Wcm); }
  double sigmaTot(double Wcm) { return sigma(1, Wcm); }
  double dSigma(double Wcm, double cTheta) { return sigma(2, Wcm, cTheta); }

  // Return a cos(theta) value
  double pickCosTheta(double);

  // Return maximum sigma elastic
  double getSigmaElMax() { return sigElMax; }

private:
  // Pointers
  Info         *infoPtr;
  ParticleData *particleDataPtr;
  Rndm         *rndmPtr;

  // Constants
  static const int     LSHIFT, ISHIFT, SUBBIN, ITER;
  static const double  CONVERT2MB, WCMBIN, CTBIN, MASSSAFETY, GRIDSAFETY;
  static const complex BINEND;

  // Settings
  int process, subprocess, subprocessMax, norm;

  // Current incoming and maximum L/I values
  int idA, idB, Lmax, Imax;

  // Masses of incoming, last bin, maximum sigma elastic
  double mA, mB, binMax, sigElMax;

  // Map subprocess to incoming and vice versa:
  //   sp2in[subprocess] = idA, idB
  //   in2sp[idA, idB]   = subprocess
  map < int, pair < int, int > > sp2in;
  map < pair < int, int >, int > in2sp;

  // Isospin coefficients isoCoeff[subprocess][2I]
  map < int, map < int, double > > isoCoeff;

  // Storage for partial wave data:
  //   pwData[L * LSHIFT + 2I * ISHIFT + 2J][eNow] = T
  map < int, map < double, complex > > pwData;

  // Values of Pl and Pl' as computed by legendreP
  vector < double > PlVec, PlpVec;

  // Integration grid [subprocess][WcmBin][cosThetaBin]
  vector < vector < vector < double > > > gridMax;
  vector < vector < double > >            gridNorm;

  // Setup subprocesses (including isospin coefficients)
  void setupSubprocesses();

  // Setup grids for integration
  void setupGrid();

  // Routine for calculating sigma total/elastic and dSigma/dCos(theta)
  double sigma(int, double, double = 0.);

  // Generate Legendre polynomials (and optionally derivatives)
  void legendreP(double, bool = false);

};


//==========================================================================

// HadronScatterPair class
//   Simple class to hold details of a pair of hadrons which will scatter.
//   Stores indices in event record and the measure used for ordering

// Store a pair of indices
typedef pair < int, int > HSIndex;

class HadronScatterPair {
public:
  // Constructor
  HadronScatterPair(const HSIndex &i1in, int yt1in, int pt1in,
                    const HSIndex &i2in, int yt2in, int pt2in,
                    double measureIn) :
      i1(i1in), yt1(yt1in), pt1(pt1in),
      i2(i2in), yt2(yt2in), pt2(pt2in),
      measure(measureIn) {}

  // Operator for sorting according to ordering measure
  bool operator<(const HadronScatterPair& in) const {
    return this->measure < in.measure;
  }

  // Indices into event record of hadrons to scatter
  HSIndex i1;
  int     yt1, pt1;
  HSIndex i2;
  int     yt2, pt2;
  // Ordering measure
  double measure;
};


//==========================================================================

// HadronScatter class

class HadronScatter {

public:

  // Constructor.
  HadronScatter() {}

  // Initialisation
  bool init(Info* infoPtrIn, Settings& settings, Rndm* rndmPtrIn,
            ParticleData *particleDataPtr);

  // Perform all hadron scatterings
  void scatter(Event&);
 
private:

  // Pointer to various information on the generation.
  Info* infoPtr;
  Rndm* rndmPtr;

  // Settings
  bool   doHadronScatter, afterDecay, allowDecayProd,
         scatterRepeat, doTile;
  int    hadronSelect, scatterProb;
  double Npar, kPar, pPar, jPar, rMax, rMax2;
  double pTsigma, pTsigma2, pT0MPI;

  // Tiling
  int    ytMax, ptMax;
  double yMin, yMax, ytSize, ptSize;
  vector < vector < set < HSIndex > > > tile;

  // Keep track of scattered pairs
  set < HSIndex > scattered;

  // Partial wave amplitudes
  SigmaPartialWave sigmaPW[3];

  // Maximum sigma elastic
  double sigElMax;

  // Decide if a hadron can scatter
  bool canScatter(Event &, int);

  // Probability for a pair of hadrons to scatter
  bool doesScatter(Event &, const HSIndex &, const HSIndex &);

  // Calculate measure for ordering of scatterings
  double measure(Event &, int, int);

  // Perform a single hadron scattering
  bool hadronScatter(Event &, HadronScatterPair &);

  // Tiling functions
  bool tileIntProb(vector < HadronScatterPair > &, Event &,
                   const HSIndex &, int, int, bool);
  int yTile(Event& event, int idx) {
    return (doTile) ? int((event[idx].y() - yMin) / ytSize) : 0;
  }
  int pTile(Event& event, int idx) {
    return (doTile) ? int((event[idx].phi() + M_PI) / ptSize) : 0;
  }
 
  // Debug
  void debugOutput();
};
 
//==========================================================================


} // end namespace Pythia8

#endif // Pythia8_HadronScatter_H

pythia8-8.1.86.orig/include/Pythia8/BeamShape.h0000644000175000017500000000353712357054733017327 0ustar  sunsun// BeamShape.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header for classes to set beam momentum and interaction vertex spread.

#ifndef Pythia8_BeamShape_H
#define Pythia8_BeamShape_H

#include "Pythia8/Basics.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
 
//==========================================================================

// Base class to set beam momentum and interaction spot spread.

class BeamShape {

public:

  // Constructor.
  BeamShape() {}

  // Destructor.
  virtual ~BeamShape() {}

  // Initialize beam parameters.
  virtual void init( Settings& settings, Rndm* rndmPtrIn);

  // Set the two beam momentum deviations and the beam vertex.
  virtual void pick();

  // Methods to read out the choice made with the above method.
  Vec4 deltaPA() const {return Vec4( deltaPxA, deltaPyA, deltaPzA, 0);}
  Vec4 deltaPB() const {return Vec4( deltaPxB, deltaPyB, deltaPzB, 0);}
  Vec4 vertex()  const {return Vec4( vertexX, vertexY, vertexZ, vertexT);}

protected:

  // Values to be set.
  double deltaPxA, deltaPyA, deltaPzA, deltaPxB, deltaPyB, deltaPzB,
         vertexX, vertexY, vertexZ, vertexT;
  
  // Parameters of Gaussian parametrizations.
  bool   allowMomentumSpread, allowVertexSpread;
  double sigmaPxA, sigmaPyA, sigmaPzA, maxDevA, sigmaPxB, sigmaPyB,
         sigmaPzB, maxDevB, sigmaVertexX, sigmaVertexY, sigmaVertexZ,
         maxDevVertex, sigmaTime, maxDevTime, offsetX, offsetY,
         offsetZ, offsetT;

  // Pointer to the random number generator.
  Rndm*  rndmPtr;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_BeamShape_H
pythia8-8.1.86.orig/include/Pythia8/Info.h0000644000175000017500000004412412357054734016373 0ustar  sunsun// Info.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains a class that keep track of generic event info.
// Info: contains information on the generation process and errors.

#ifndef Pythia8_Info_H
#define Pythia8_Info_H

#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {
 
//==========================================================================

// The Info class contains a mixed bag of information on the event
// generation activity, especially on the current subprocess properties,
// and on the number of errors encountered. This is used by the
// generation machinery, but can also be read by the user.
// Note: some methods that maybe should not be accessible to the user
// are still public, to work also for user-written FSR/ISR classes.

class Info {

public:

  // Constructor.
  Info() : eCMSave(0.), lowPTmin(false), a0MPISave(0.), weightCKKWLSave(1.),
    weightFIRSTSave(0.) {
    for (int i = 0; i < 40; ++i) counters[i] = 0;}

  // Listing of most available information on current event.
  void   list(ostream& os = cout) const;
  
  // Beam particles (in rest frame). CM energy of event.
  int    idA()                const {return idASave;}
  int    idB()                const {return idBSave;}
  double pzA()                const {return pzASave;}
  double pzB()                const {return pzBSave;}
  double eA()                 const {return eASave;}
  double eB()                 const {return eBSave;}
  double mA()                 const {return mASave;}
  double mB()                 const {return mBSave;}
  double eCM()                const {return eCMSave;}
  double s()                  const {return sSave;}

  // Warnings from initialization.
  bool   tooLowPTmin()        const {return lowPTmin;}

  // Process name and code, and the number of final-state particles.
  string name()               const {return nameSave;}
  int    code()               const {return codeSave;}
  int    nFinal()             const {return nFinalSave;}

  // Are beam particles resolved, with pdf's? Are they diffractive?
  bool   isResolved()         const {return isRes;}
  bool   isDiffractiveA()     const {return isDiffA;}
  bool   isDiffractiveB()     const {return isDiffB;}
  bool   isDiffractiveC()     const {return isDiffC;}
  bool   isNonDiffractive()   const {return isND;}
  // Retained for backwards compatibility.
  bool   isMinBias()          const {return isND;}

  // Information for Les Houches Accord and reading files.
  bool   isLHA()              const {return isLH;}
  bool   atEndOfFile()        const {return atEOF;}

  // For nondiffractive and Les Houches Accord identify hardest subprocess.
  bool   hasSub(int i = 0)    const {return hasSubSave[i];}
  string nameSub(int i = 0)   const {return nameSubSave[i];}
  int    codeSub(int i = 0)   const {return codeSubSave[i];}
  int    nFinalSub(int i = 0) const {return nFinalSubSave[i];}

  // Incoming parton flavours and x values.
  int    id1(int i = 0)       const {return id1Save[i];}
  int    id2(int i = 0)       const {return id2Save[i];}
  double x1(int i = 0)        const {return x1Save[i];}
  double x2(int i = 0)        const {return x2Save[i];}
  double y(int i = 0)         const {return 0.5 * log( x1Save[i] / x2Save[i]);}
  double tau(int i = 0)       const {return x1Save[i] * x2Save[i];}

  // Hard process flavours, x values, parton densities, couplings, Q2 scales.
  int    id1pdf(int i = 0)    const {return id1pdfSave[i];}
  int    id2pdf(int i = 0)    const {return id2pdfSave[i];}
  double x1pdf(int i = 0)     const {return x1pdfSave[i];}
  double x2pdf(int i = 0)     const {return x2pdfSave[i];}
  double pdf1(int i = 0)      const {return pdf1Save[i];}
  double pdf2(int i = 0)      const {return pdf2Save[i];}
  double QFac(int i = 0)      const {return sqrtpos(Q2FacSave[i]);}
  double Q2Fac(int i = 0)     const {return Q2FacSave[i];}
  bool   isValence1()         const {return isVal1;}
  bool   isValence2()         const {return isVal2;}
  double alphaS(int i = 0)    const {return alphaSSave[i];}
  double alphaEM(int i = 0)   const {return alphaEMSave[i];}
  double QRen(int i = 0)      const {return sqrtpos(Q2RenSave[i]);}
  double Q2Ren(int i = 0)     const {return Q2RenSave[i];}
  double scalup(int i = 0)    const {return scalupSave[i];}

  // Mandelstam variables (notation as if subcollision).
  double mHat(int i = 0)      const {return sqrt(sH[i]);}
  double sHat(int i = 0)      const {return sH[i];}
  double tHat(int i = 0)      const {return tH[i];}
  double uHat(int i = 0)      const {return uH[i];}
  double pTHat(int i = 0)     const {return pTH[i];}
  double pT2Hat(int i = 0)    const {return pTH[i] * pTH[i];}
  double m3Hat(int i = 0)     const {return m3H[i];}
  double m4Hat(int i = 0)     const {return m4H[i];}
  double thetaHat(int i = 0)  const {return thetaH[i];}
  double phiHat(int i = 0)    const {return phiH[i];}

  // Weight of current event; normally 1, but used for Les Houches events
  // or when reweighting phase space selection. Conversion from mb to pb
  // for LHA strategy +-4. Also cumulative sum.
  double weight()             const;
  double weightSum()          const;
  double lhaStrategy()        const {return lhaStrategySave;}

  // Number of times other steps have been carried out.
  int    nISR()               const {return nISRSave;}
  int    nFSRinProc()         const {return nFSRinProcSave;}
  int    nFSRinRes()          const {return nFSRinResSave;}

  // Maximum pT scales for MPI, ISR and FSR (in hard process).
  double pTmaxMPI()           const {return pTmaxMPISave;}
  double pTmaxISR()           const {return pTmaxISRSave;}
  double pTmaxFSR()           const {return pTmaxFSRSave;}

  // Current evolution scale (for UserHooks).
  double pTnow()              const {return pTnowSave;}

  // Impact parameter picture, global information
  double a0MPI()              const {return a0MPISave;}

  // Impact parameter picture, as set by hardest interaction.
  double bMPI()               const {return (bIsSet) ? bMPISave : 1.;}
  double enhanceMPI()         const {return (bIsSet) ? enhanceMPISave : 1.;}
  double eMPI(int i)          const {return (bIsSet) ? eMPISave[i] : 1.;}

  // Number of multiparton interactions, with code and pT for them.
  int    nMPI()               const {return nMPISave;}
  int    codeMPI(int i)       const {return codeMPISave[i];}
  double pTMPI(int i)         const {return pTMPISave[i];}
  int    iAMPI(int i)         const {return iAMPISave[i];}
  int    iBMPI(int i)         const {return iBMPISave[i];}

  // Cross section estimate, optionally process by process.
  vector codesHard();
  string nameProc(int i = 0)  {return (i == 0) ? "sum" 
    : ( (procNameM[i] == "") ? "unknown process" : procNameM[i] );}
  long   nTried(int i = 0)    {return (i == 0) ? nTry : nTryM[i];}
  long   nSelected(int i = 0) {return (i == 0) ? nSel : nSelM[i];}
  long   nAccepted(int i = 0) {return (i == 0) ? nAcc : nAccM[i];}
  double sigmaGen(int i = 0)  {return (i == 0) ? sigGen : sigGenM[i];}
  double sigmaErr(int i = 0)  {return (i == 0) ? sigErr : sigErrM[i];}

  // Counters for number of loops in various places.
  int    getCounter( int i)   const {return counters[i];}

  // Set or increase the value stored in a counter.
  void   setCounter( int i, int value = 0) {counters[i]  = value;}
  void   addCounter( int i, int value = 1) {counters[i] += value;}

  // Reset to empty map of error messages.
  void   errorReset() {messages.clear();}
  
  // Print a message the first few times. Insert in database.
  void   errorMsg(string messageIn, string extraIn = " ",
    bool showAlways = false, ostream& os = cout);

  // Provide total number of errors/aborts/warnings experienced to date.
  int    errorTotalNumber();

  // Print statistics on errors/aborts/warnings.
  void   errorStatistics(ostream& os = cout);

  // Set initialization warning flag when too low pTmin in ISR/FSR/MPI.
  void   setTooLowPTmin(bool lowPTminIn) {lowPTmin = lowPTminIn;}

  // Set info on valence character of hard collision partons.
  void setValence( bool isVal1In, bool isVal2In) {isVal1 = isVal1In;
    isVal2 = isVal2In;}

  // Set and get some MPI/ISR/FSR properties needed for matching,
  // i.e. mainly of internal relevance.
  void   hasHistory( bool hasHistoryIn) {hasHistorySave = hasHistoryIn;}
  bool   hasHistory() {return hasHistorySave;}
  void   zNowISR( double zNowIn) {zNowISRSave = zNowIn;}
  double zNowISR() {return zNowISRSave;}
  void   pT2NowISR( double pT2NowIn) {pT2NowISRSave = pT2NowIn;}
  double pT2NowISR() {return pT2NowISRSave;}

  // Return CKKW-L weight.
  double getWeightCKKWL() const { return weightCKKWLSave;}
  // Set CKKW-L weight.
  void setWeightCKKWL( double weightIn) { weightCKKWLSave = weightIn;}
  // Return merging weight.
  double mergingWeight() const { return weightCKKWLSave;}

  // Return the complete NLO weight.
  double mergingWeightNLO() const {
    return (weightCKKWLSave - weightFIRSTSave); }
  // Return the O(\alpha_s)-term of the CKKW-L weight.
  double getWeightFIRST() const { return weightFIRSTSave;}
  // Set the O(\alpha_s)-term of the CKKW-L weight.
  void setWeightFIRST( double weightIn) { weightFIRSTSave = weightIn;}

  // Return an LHEF header
  string header(const string &key) {
    if (headers.find(key) == headers.end()) return "";
    else return headers[key];
  }

  // Return a list of all header key names
  vector < string > headerKeys() {
    vector < string > keys;
    for (map < string, string >::iterator it = headers.begin();
        it != headers.end(); it++)
      keys.push_back(it->first);
    return keys;
  }

private:

  // Number of times the same error message is repeated, unless overridden.
  static const int TIMESTOPRINT;

  // Allow conversion from mb to pb.
  static const double CONVERTMB2PB;

  // Store common beam quantities.
  int    idASave, idBSave;
  double pzASave, eASave,mASave, pzBSave, eBSave, mBSave, eCMSave, sSave;

  // Store initialization information.
  bool   lowPTmin;

  // Store common integrated cross section quantities.
  long   nTry, nSel, nAcc;
  double sigGen, sigErr, wtAccSum;
  map procNameM;
  map nTryM, nSelM, nAccM;
  map sigGenM, sigErrM;
  int    lhaStrategySave;

  // Store common MPI information.
  double a0MPISave;

  // Store current-event quantities.
  bool   isRes, isDiffA, isDiffB, isDiffC, isND, isLH, hasSubSave[4],
         bIsSet, evolIsSet, atEOF, isVal1, isVal2, hasHistorySave;
  int    codeSave, codeSubSave[4], nFinalSave, nFinalSubSave[4], nTotal,
         id1Save[4], id2Save[4], id1pdfSave[4], id2pdfSave[4], nMPISave,
         nISRSave, nFSRinProcSave, nFSRinResSave;
  double x1Save[4], x2Save[4], x1pdfSave[4], x2pdfSave[4], pdf1Save[4],
         pdf2Save[4], Q2FacSave[4], alphaEMSave[4], alphaSSave[4],
         Q2RenSave[4], scalupSave[4], sH[4], tH[4], uH[4], pTH[4], m3H[4],
         m4H[4], thetaH[4], phiH[4], weightSave, bMPISave, enhanceMPISave,
         pTmaxMPISave, pTmaxISRSave, pTmaxFSRSave, pTnowSave,
         zNowISRSave, pT2NowISRSave;
  string nameSave, nameSubSave[4];
  vector    codeMPISave, iAMPISave, iBMPISave;
  vector pTMPISave, eMPISave;

  // Vector of various loop counters.
  int    counters[50];

  // Map for all error messages.
  map messages;

  // Map for LHEF headers
  map headers;

  // Friend classes allowed to set info.
  friend class Pythia;
  friend class ProcessLevel;
  friend class ProcessContainer;
  friend class PartonLevel;
  friend class MultipartonInteractions;
  friend class LHAup;

  // Set info on the two incoming beams: only from Pythia class.
  void setBeamA( int idAin, double pzAin, double eAin, double mAin) {
    idASave = idAin; pzASave = pzAin; eASave = eAin; mASave = mAin;}
  void setBeamB( int idBin, double pzBin, double eBin, double mBin) {
    idBSave = idBin; pzBSave = pzBin; eBSave = eBin; mBSave = mBin;}
  void setECM( double eCMin) {eCMSave = eCMin; sSave = eCMSave * eCMSave;}

  // Reset info for current event: only from Pythia class.
  void clear() {
    isRes = isDiffA = isDiffB = isDiffC = isND = isLH = bIsSet
      = evolIsSet = atEOF = isVal1 = isVal2 = hasHistorySave = false;
    codeSave = nFinalSave = nTotal = nMPISave = nISRSave = nFSRinProcSave
      = nFSRinResSave = 0;
    weightSave = bMPISave = enhanceMPISave = weightCKKWLSave = 1.;
    pTmaxMPISave = pTmaxISRSave = pTmaxFSRSave = pTnowSave = zNowISRSave
      = pT2NowISRSave = weightFIRSTSave = 0.;
    nameSave = " ";
    for (int i = 0; i < 4; ++i) {
      hasSubSave[i] = false;
      codeSubSave[i] = nFinalSubSave[i] = id1pdfSave[i] = id2pdfSave[i]
        = id1Save[i] = id2Save[i] = 0;
      x1pdfSave[i] = x2pdfSave[i] = pdf1Save[i] = pdf2Save[i]
        = Q2FacSave[i] = alphaEMSave[i] = alphaSSave[i] = Q2RenSave[i]
        = scalupSave[i] = x1Save[i] = x2Save[i] = sH[i] = tH[i] = uH[i]
        = pTH[i] = m3H[i] = m4H[i] = thetaH[i] = phiH[i] = 0.;
      nameSubSave[i] = " ";
    }
    codeMPISave.resize(0); iAMPISave.resize(0); iBMPISave.resize(0);
    pTMPISave.resize(0); eMPISave.resize(0); }

  // Reset info arrays only for parton and hadron level.
  int sizeMPIarrays() const { return codeMPISave.size(); }
  void resizeMPIarrays(int newSize) { codeMPISave.resize(newSize);
    iAMPISave.resize(newSize); iBMPISave.resize(newSize);
    pTMPISave.resize(newSize); eMPISave.resize(newSize); }

  // Set info on the (sub)process: from ProcessLevel, ProcessContainer or
  // MultipartonInteractions classes.
  void setType( string nameIn, int codeIn, int nFinalIn,
    bool isNonDiffIn = false, bool isResolvedIn = true,
    bool isDiffractiveAin = false, bool isDiffractiveBin = false,
    bool isDiffractiveCin = false, bool isLHAin = false) {
    nameSave = nameIn; codeSave = codeIn; nFinalSave = nFinalIn;
    isND = isNonDiffIn; isRes = isResolvedIn; isDiffA = isDiffractiveAin;
    isDiffB = isDiffractiveBin; isDiffC = isDiffractiveCin; isLH = isLHAin;
    nTotal = 2 + nFinalSave; bIsSet = false; hasSubSave[0] = false;
    nameSubSave[0] = " "; codeSubSave[0] = 0; nFinalSubSave[0] = 0;
    evolIsSet = false;}
  void setSubType( int iDS, string nameSubIn, int codeSubIn,
    int nFinalSubIn) { hasSubSave[iDS] = true; nameSubSave[iDS] = nameSubIn;
    codeSubSave[iDS] = codeSubIn; nFinalSubSave[iDS] = nFinalSubIn;}
  void setPDFalpha( int iDS, int id1pdfIn, int id2pdfIn, double x1pdfIn,
    double x2pdfIn, double pdf1In, double pdf2In, double Q2FacIn,
    double alphaEMIn, double alphaSIn, double Q2RenIn, double scalupIn) {
    id1pdfSave[iDS] = id1pdfIn; id2pdfSave[iDS] = id2pdfIn;
    x1pdfSave[iDS] = x1pdfIn; x2pdfSave[iDS] = x2pdfIn;
    pdf1Save[iDS] = pdf1In; pdf2Save[iDS] = pdf2In; Q2FacSave[iDS] = Q2FacIn;
    alphaEMSave[iDS] = alphaEMIn; alphaSSave[iDS] = alphaSIn;
    Q2RenSave[iDS] = Q2RenIn; scalupSave[iDS] = scalupIn;}
  void setScalup( int iDS, double scalupIn) {scalupSave[iDS] = scalupIn;}
  void setKin( int iDS, int id1In, int id2In, double x1In, double x2In,
    double sHatIn, double tHatIn, double uHatIn, double pTHatIn,
    double m3HatIn, double m4HatIn, double thetaHatIn, double phiHatIn) {
    id1Save[iDS] = id1In; id2Save[iDS] = id2In; x1Save[iDS] = x1In;
    x2Save[iDS] = x2In; sH[iDS] = sHatIn; tH[iDS] = tHatIn;
    uH[iDS] = uHatIn; pTH[iDS] = pTHatIn; m3H[iDS] = m3HatIn;
    m4H[iDS] = m4HatIn; thetaH[iDS] = thetaHatIn; phiH[iDS] = phiHatIn;}
  void setTypeMPI( int codeMPIIn, double pTMPIIn, int iAMPIIn = 0,
    int iBMPIIn = 0, double eMPIIn = 1.) {codeMPISave.push_back(codeMPIIn);
    pTMPISave.push_back(pTMPIIn); iAMPISave.push_back(iAMPIIn);
    iBMPISave.push_back(iBMPIIn); eMPISave.push_back(eMPIIn); }

  // Set info on cross section: from ProcessLevel (reset in Pythia).
  void sigmaReset() { nTry = nSel = nAcc = 0; sigGen = sigErr = wtAccSum = 0.;
    procNameM.clear(); nTryM.clear(); nSelM.clear(); nAccM.clear(); 
    sigGenM.clear(); sigErrM.clear();}
  void setSigma( int i, string procNameIn, long nTryIn, long nSelIn,
    long nAccIn, double sigGenIn, double sigErrIn, double wtAccSumIn) {
    if (i == 0) {nTry = nTryIn; nSel = nSelIn; nAcc = nAccIn;
      sigGen = sigGenIn; sigErr = sigErrIn; wtAccSum = wtAccSumIn;}
    else {procNameM[i] = procNameIn; nTryM[i] = nTryIn; nSelM[i] = nSelIn;
      nAccM[i] = nAccIn; sigGenM[i] = sigGenIn; sigErrM[i] = sigErrIn;} }
  void addSigma( int i, long nTryIn, long nSelIn, long nAccIn, double sigGenIn,
    double sigErrIn) { nTryM[i] += nTryIn; nSelM[i] += nSelIn; 
    nAccM[i] += nAccIn; sigGenM[i] += sigGenIn;
    sigErrM[i] = sqrtpos(sigErrM[i]*sigErrM[i] + sigErrIn*sigErrIn); }

  // Set info on impact parameter: from PartonLevel.
  void setImpact( double bMPIIn, double enhanceMPIIn, bool bIsSetIn = true) {
    bMPISave = bMPIIn; enhanceMPISave = eMPISave[0] = enhanceMPIIn,
    bIsSet = bIsSetIn;}

  // Set info on pTmax scales and number of evolution steps: from PartonLevel.
  void setPartEvolved( int nMPIIn, int nISRIn) {
    nMPISave = nMPIIn; nISRSave = nISRIn;}
  void setEvolution( double pTmaxMPIIn, double pTmaxISRIn, double pTmaxFSRIn,
    int nMPIIn, int nISRIn, int nFSRinProcIn, int nFSRinResIn) {
    pTmaxMPISave = pTmaxMPIIn; pTmaxISRSave = pTmaxISRIn;
    pTmaxFSRSave = pTmaxFSRIn; nMPISave = nMPIIn; nISRSave = nISRIn;
    nFSRinProcSave = nFSRinProcIn; nFSRinResSave = nFSRinResIn;
    evolIsSet = true;}

  // Set current pT evolution scale for MPI/ISR/FSR; from PartonLevel.
  void setPTnow( double pTnowIn) {pTnowSave = pTnowIn;}

  // Set a0 from MultipartonInteractions.
  void seta0MPI(double a0MPIin) {a0MPISave = a0MPIin;}

  // Set info whether reading of Les Houches Accord file at end.
  void setEndOfFile( bool atEOFin) {atEOF = atEOFin;}

  // Set event weight; currently only for Les Houches description.
  void setWeight( double weightIn, int lhaStrategyIn) {
    weightSave = weightIn; lhaStrategySave = lhaStrategyIn; }

  // Save merging weight (i.e.  CKKW-L-type weight, summed O(\alpha_s) weight)
  double weightCKKWLSave, weightFIRSTSave;

  // Set LHEF headers
  void setHeader(const string &key, const string &val)
    { headers[key] = val; }

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_Info_H
pythia8-8.1.86.orig/include/Pythia8/SigmaLeptoquark.h0000644000175000017500000001121412357054744020603 0ustar  sunsun// SigmaLeptoquark.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for leptoquark-process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma(1/2)Process.
// Note: since leptoquark assumed scalar no need for decay-angles routines.

#ifndef Pythia8_SigmaLeptoquark_H
#define Pythia8_SigmaLeptoquark_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A derived class for q l -> LQ (leptoquark).

class Sigma1ql2LeptoQuark : public Sigma1Process {

public:

  // Constructor.
  Sigma1ql2LeptoQuark() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q l -> LQ (leptoquark)";}
  virtual int    code()       const {return 3201;}
  virtual string inFlux()     const {return "ff";}
  virtual int    resonanceA() const {return 42;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idQuark, idLepton;
  double mRes, GammaRes, m2Res, GamMRat, kCoup, widthIn, sigBW;

  // Pointer to properties of the particle species, to access decay channel.
  ParticleDataEntry* LQPtr;

};
 
//==========================================================================

// A derived class for q g -> LQ l (leptoquark).

class Sigma2qg2LeptoQuarkl : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2LeptoQuarkl() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q g -> LQ l (leptoquark)";}
  virtual int    code()    const {return 3202;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return 42;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idQuark, idLepton;
  double mRes, GammaRes, m2Res, GamMRat, kCoup, openFracPos, openFracNeg,
         sigma0;

};
 
//==========================================================================

// A derived class for g g -> LQ LQbar (leptoquark).

class Sigma2gg2LQLQbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2LQLQbar() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "g g -> LQ LQbar (leptoquark)";}
  virtual int    code()    const {return 3203;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return 42;}
  virtual int    id4Mass() const {return 42;}

private:

  // Parameters set at initialization or for current kinematics.
  double mRes, GammaRes, m2Res, GamMRat, openFrac, sigma;

};
 
//==========================================================================

// A derived class for q qbar -> LQ LQbar (leptoquark).

class Sigma2qqbar2LQLQbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2LQLQbar() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {
    return (abs(id1) == idQuark) ? sigmaSame : sigmaDiff;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q qbar -> LQ LQbar (leptoquark)";}
  virtual int    code()    const {return 3204;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return 42;}
  virtual int    id4Mass() const {return 42;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idQuark;
  double mRes, GammaRes, m2Res, GamMRat, kCoup, openFrac, sigmaDiff,
         sigmaSame;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaLeptoquark_H
pythia8-8.1.86.orig/include/Pythia8/SigmaProcess.h0000644000175000017500000005475212357054744020110 0ustar  sunsun// SigmaProcess.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for hard-process differential cross sections.
// SigmaProcess: base class for cross sections.
// Sigma0Process: base class for unresolved processes, derived from above.
// Sigma1Process: base class for 2 -> 1 processes, derived from above.
// Sigma2Process: base class for 2 -> 2 processes, derived from above.
// Sigma3Process: base class for 2 -> 3 processes, derived from above.
// SigmaLHAProcess: wrapper class for Les Houches Accord external input.
// Actual physics processes are found in separate files:
// SigmaQCD for QCD processes;
// SigmaEW for electroweak processes (including photon production);
// SigmaOnia for charmonium and bottomonium processes;
// SigmaHiggs for Higgs processes;
// SigmaSUSY for supersymmetric production;
// SigmaLeftRightSym for  processes in left-right-symmetric scenarios;
// SigmaLeptoquark for leptoquark production.
// SigmaExtraDim for processes in scenarios for extra dimensions;
// SigmaGeneric for generic scalar/fermion/vector pair production.

#ifndef Pythia8_SigmaProcess_H
#define Pythia8_SigmaProcess_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/LesHouches.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/PythiaComplex.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/ResonanceWidths.h"
#include "Pythia8/Settings.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/SLHAinterface.h"
#include "Pythia8/SusyLesHouches.h"

namespace Pythia8 {

//==========================================================================

// InBeam is a simple helper class for partons and their flux in a beam.

class InBeam {

public:

  // Constructor.
  InBeam( int idIn = 0) : id(idIn), pdf(0.) {}

  // Values.
  int    id;
  double pdf;

};

//==========================================================================

// InPair is a simple helper class for colliding parton pairs and their flux.

class InPair {

public:

  // Constructor.
  InPair( int idAIn = 0, int idBIn = 0) : idA(idAIn), idB(idBIn),
    pdfA(0.), pdfB(0.), pdfSigma(0.) {}

  // Values.
  int    idA, idB;
  double pdfA, pdfB, pdfSigma;

};
 
//==========================================================================

// SigmaProcess is the base class for cross section calculations.

class SigmaProcess {

public:

  // Destructor.
  virtual ~SigmaProcess() {}

  // Perform simple initialization and store pointers.
  void init(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn, Couplings* couplings,
    SigmaTotal* sigmaTotPtrIn = 0, SLHAinterface* slhaInterfacePtrIn = 0);

  // Store or replace Les Houches pointer.
  void setLHAPtr( LHAup* lhaUpPtrIn) {lhaUpPtr = lhaUpPtrIn;}

  // Initialize process. Only used for some processes.
  virtual void initProc() {}

  // Set up allowed flux of incoming partons. Default is no flux.
  virtual bool initFlux();

  // Input and complement kinematics for resolved 2 -> 1 process.
  // Usage: set1Kin( x1in, x2in, sHin).
  virtual void set1Kin( double , double , double ) {}

  // Input and complement kinematics for resolved 2 -> 2 process.
  // Usage: set2Kin( x1in, x2in, sHin, tHin, m3in, m4in, runBW3in, runBW4in).
  virtual void set2Kin( double , double , double , double , double ,
    double, double, double ) {}

  // Ditto, but for Multiparton Interactions applications, so different input.
  // Usage: set2KinMPI( x1in, x2in, sHin, tHin, uHin,
  //                   alpSin, alpEMin, needMasses, m3in, m4in)
  virtual void set2KinMPI( double , double , double , double ,
    double , double , double , bool , double , double ) {}

  // Input and complement kinematics for resolved 2 -> 3 process.
  // Usage: set3Kin( x1in, x2in, sHin, p3prel, p4prel, p5prel,
  //                 m3in, m4in, m5in, runBW3in, runBW4in, runBW5in);
  virtual void set3Kin( double , double , double , Vec4 , Vec4 , Vec4 ,
    double , double , double , double , double , double ) {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin() {}

  // Evaluate sigma for unresolved, sigmaHat(sHat) for 2 -> 1 processes,
  // d(sigmaHat)/d(tHat) for (resolved) 2 -> 2 processes, and |M|^2 for
  // 2 -> 3 processes. Answer in "native" units, either mb or GeV^-2.
  virtual double sigmaHat() {return 0.;}

  // Wrapper to sigmaHat, to (a) store current incoming flavours and
  // (b) convert from GeV^-2 to mb where required.
  // For 2 -> 1/2 also (c) convert from from |M|^2 to d(sigmaHat)/d(tHat).
  virtual double sigmaHatWrap(int id1in = 0, int id2in = 0) {
    id1 = id1in; id2 = id2in;
    return ( convert2mb() ? CONVERT2MB * sigmaHat() : sigmaHat() ); }

  // Convolute above with parton flux and K factor. Sum over open channels.
  virtual double sigmaPDF();

  // Select incoming parton channel and extract parton densities (resolved).
  void pickInState(int id1in = 0, int id2in = 0);

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol() {}

  // Perform kinematics for a Multiparton Interaction, in its rest frame.
  virtual bool final2KinMPI( int = 0, int = 0, Vec4 = 0., Vec4 = 0.,
    double = 0., double = 0.) {return true;}

  // Evaluate weight for simultaneous flavours (only gamma*/Z0 gamma*/Z0).
  // Usage: weightDecayFlav( process).
  virtual double weightDecayFlav( Event&) {return 1.;}

  // Evaluate weight for decay angular configuration.
  // Usage: weightDecay( process, iResBeg, iResEnd), where
  // iResBeg <= i < iResEnd is range of sister partons to test decays of.
  virtual double weightDecay( Event&, int, int) {return 1.;}

  // Set scale, when that is missing for an external LHA process.
  virtual void setScale() {}

  // Process name and code, and the number of final-state particles.
  virtual string name()            const {return "unnamed process";}
  virtual int    code()            const {return 0;}
  virtual int    nFinal()          const {return 2;}

  // Need to know which incoming partons to set up interaction for.
  virtual string inFlux()          const {return "unknown";}

  // Need to know whether to convert cross section answer from GeV^-2 to mb.
  virtual bool   convert2mb()      const {return true;}

  // For 2 -> 2 process optional conversion from |M|^2 to d(sigmaHat)/d(tHat).
  virtual bool   convertM2()       const {return false;}

  // Special treatment needed for Les Houches processes.
  virtual bool   isLHA()           const {return false;}

  // Special treatment needed for elastic and diffractive processes.
  virtual bool   isNonDiff()       const {return false;}
  virtual bool   isResolved()      const {return true;}
  virtual bool   isDiffA()         const {return false;}
  virtual bool   isDiffB()         const {return false;}
  virtual bool   isDiffC()         const {return false;}

  // Special treatment needed for SUSY processes.
  virtual bool   isSUSY()          const {return false;}

  // Special treatment needed if negative cross sections allowed.
  virtual bool   allowNegativeSigma() const {return false;}

  // Flavours in 2 -> 2/3 processes where masses needed from beginning.
  // (For a light quark masses will be used in the final kinematics,
  // but not at the matrix-element level. For a gluon no masses at all.)
  virtual int    id3Mass()         const {return 0;}
  virtual int    id4Mass()         const {return 0;}
  virtual int    id5Mass()         const {return 0;}

  // Special treatment needed if process contains an s-channel resonance.
  virtual int    resonanceA()      const {return 0;}
  virtual int    resonanceB()      const {return 0;}

  // 2 -> 2 and 2 -> 3 processes only through s-channel exchange.
  virtual bool   isSChannel()      const {return false;}

  // NOAM: Insert an intermediate resonance in 2 -> 1 -> 2 (or 3) listings.
  virtual int    idSChannel()      const {return 0;}

  // QCD 2 -> 3 processes need special phase space selection machinery.
  virtual bool   isQCD3body()      const {return false;}

  // Special treatment in 2 -> 3 with two massive propagators.
  virtual int    idTchan1()        const {return 0;}
  virtual int    idTchan2()        const {return 0;}
  virtual double tChanFracPow1()   const {return 0.3;}
  virtual double tChanFracPow2()   const {return 0.3;}
  virtual bool   useMirrorWeight() const {return false;}

  // Special process-specific gamma*/Z0 choice if >=0 (e.g. f fbar -> H0 Z0).
  virtual int    gmZmode()         const {return -1;}

  // Tell whether tHat and uHat are swapped (= same as swap 3 and 4).
  bool swappedTU()          const {return swapTU;}
  
  // Give back particle properties: flavours, colours, masses, or all.
  int    id(int i)          const {return idSave[i];}
  int    col(int i)         const {return colSave[i];}
  int    acol(int i)        const {return acolSave[i];}
  double m(int i)           const {return mSave[i];}
  Particle getParton(int i) const {return parton[i];}

  // Give back couplings and parton densities.
  // Not all known for nondiffractive.
  double Q2Ren()            const {return Q2RenSave;}
  double alphaEMRen()       const {return alpEM;}
  double alphaSRen()        const {return alpS;}
  double Q2Fac()            const {return Q2FacSave;}
  double pdf1()             const {return pdf1Save;}
  double pdf2()             const {return pdf2Save;}

  // Give back angles; relevant only for multipe-interactions processes.
  double thetaMPI()         const {return atan2( sinTheta, cosTheta);}
  double phiMPI()           const {return phi;}
  double sHBetaMPI()        const {return sHBeta;}
  double pT2MPI()           const {return pT2Mass;}
  double pTMPIFin()         const {return pTFin;}

  // Save and load kinematics for trial interactions
  void saveKin() {
    for (int i = 0; i < 6; i++) { partonT[i] = parton[i];
      mSaveT[i] = mSave[i]; }
    pTFinT = pTFin; phiT = phi; cosThetaT = cosTheta; sinThetaT = sinTheta; }
  void loadKin() {
    for (int i = 0; i < 6; i++) { parton[i] = partonT[i];
    mSave[i] = mSaveT[i]; }
    pTFin = pTFinT; cosTheta = cosThetaT; sinTheta = sinThetaT; phi = phiT;
  }
  void swapKin() {
    for (int i = 0; i < 6; i++) { swap(parton[i], partonT[i]);
                                  swap(mSave[i], mSaveT[i]); }
    swap(pTFin, pTFinT); swap(cosTheta, cosThetaT);
    swap(sinTheta, sinThetaT); swap(phi, phiT); }

protected:

  // Constructor.
  SigmaProcess() : infoPtr(0), settingsPtr(0), particleDataPtr(0),
    rndmPtr(0), beamAPtr(0), beamBPtr(0), couplingsPtr(0), sigmaTotPtr(0),
    slhaPtr(0), lhaUpPtr(0) {for (int i = 0; i < 6; ++i) mSave[i] = 0.;
    Q2RenSave = alpEM = alpS = Q2FacSave = pdf1Save = pdf2Save = 0.; }

  // Constants: could only be changed in the code itself.
  static const double CONVERT2MB, MASSMARGIN, COMPRELERR;
  static const int    NCOMPSTEP;

  // Pointer to various information on the generation.
  Info*           infoPtr;
 
  // Pointer to the settings database.
  Settings*       settingsPtr;

  // Pointer to the particle data table.
  ParticleData*   particleDataPtr;

  // Pointer to the random number generator.
  Rndm*           rndmPtr;

  // Pointers to incoming beams.
  BeamParticle*   beamAPtr;
  BeamParticle*   beamBPtr;

  // Pointer to Standard Model couplings, including alphaS and alphaEM.
  Couplings*      couplingsPtr;
  
  // Pointer to the total/elastic/diffractive cross section object.
  SigmaTotal*     sigmaTotPtr;

  // Pointer to an SLHA object.
  SusyLesHouches* slhaPtr;

  // Pointer to LHAup for generating external events.
  LHAup*          lhaUpPtr;

  // Initialization data, normally only set once.
  int    nQuarkIn, renormScale1, renormScale2, renormScale3, renormScale3VV,
         factorScale1, factorScale2, factorScale3, factorScale3VV;
  double Kfactor, mcME, mbME, mmuME, mtauME, renormMultFac, renormFixScale,
         factorMultFac, factorFixScale;

  // CP violation parameters for Higgs sector, normally only set once.
  int    higgsH1parity, higgsH2parity, higgsA3parity;
  double higgsH1eta, higgsH2eta, higgsA3eta;

  // Information on incoming beams.
  int    idA, idB;
  double mA, mB;
  bool   isLeptonA, isLeptonB, hasLeptonBeams;

  // Partons in beams, with PDF's.
  vector inBeamA;
  vector inBeamB;
  void addBeamA(int idIn) {inBeamA.push_back(InBeam(idIn));}
  void addBeamB(int idIn) {inBeamB.push_back(InBeam(idIn));}
  int sizeBeamA() const {return inBeamA.size();}
  int sizeBeamB() const {return inBeamB.size();}
 
  // Allowed colliding parton pairs, with pdf's.
  vector inPair;
  void addPair(int idAIn, int idBIn) {
    inPair.push_back(InPair(idAIn, idBIn));}
  int sizePair() const {return inPair.size();}

  // Store common subprocess kinematics quantities.
  double mH, sH, sH2;

  // Store Q2 renormalization and factorization scales, and related values.
  double Q2RenSave, alpEM, alpS, Q2FacSave, x1Save, x2Save, pdf1Save,
         pdf2Save, sigmaSumSave;

  // Store flavour, colour, anticolour, mass, angles and the whole particle.
  int      id1, id2, id3, id4, id5;
  int      idSave[6], colSave[6], acolSave[6];
  double   mSave[6], cosTheta, sinTheta, phi, sHMass, sHBeta, pT2Mass, pTFin;
  Particle parton[6];

  // Minimal set of saved kinematics for trial interactions when
  // using the x-dependent matter profile of multiparton interactions.
  Particle partonT[6];
  double   mSaveT[6], pTFinT, cosThetaT, sinThetaT, phiT;

  // Calculate and store all modified masses and four-vectors
  // intended for matrix elements. Return false if failed.
  virtual bool setupForME() {return true;}
  bool     setupForMEin();
  double   mME[5];
  Vec4     pME[5];

  // Store whether tHat and uHat are swapped (= same as swap 3 and 4).
  bool swapTU;

  // Set flavour, colour and anticolour.
  void setId( int id1in = 0, int id2in = 0, int id3in = 0, int id4in = 0,
    int id5in = 0) {idSave[1] = id1in; idSave[2] = id2in; idSave[3] = id3in;
    idSave[4] = id4in; idSave[5] = id5in;}
  void setColAcol( int col1 = 0, int acol1 = 0,
    int col2 = 0, int acol2 = 0, int col3 = 0, int acol3 = 0,
    int col4 = 0, int acol4 = 0, int col5 = 0, int acol5 = 0) {
    colSave[1] = col1; acolSave[1] = acol1; colSave[2] = col2;
    acolSave[2] = acol2; colSave[3] = col3; acolSave[3] = acol3;
    colSave[4] = col4; acolSave[4] = acol4; colSave[5] = col5;
    acolSave[5] = acol5; }
  void swapColAcol() { swap(colSave[1], acolSave[1]);
    swap(colSave[2], acolSave[2]); swap(colSave[3], acolSave[3]);
    swap(colSave[4], acolSave[4]); swap(colSave[5], acolSave[5]);}
  void swapCol1234() { swap(colSave[1], colSave[2]);
    swap(colSave[3], colSave[4]); swap(acolSave[1], acolSave[2]);
    swap(acolSave[3], acolSave[4]);}
  void swapCol12() { swap(colSave[1], colSave[2]);
    swap(acolSave[1], acolSave[2]);}
  void swapCol34() { swap(colSave[3], colSave[4]);
    swap(acolSave[3], acolSave[4]);}

  // Common code for top and Higgs secondary decay angular weights.
  double weightTopDecay( Event& process, int iResBeg, int iResEnd);
  double weightHiggsDecay( Event& process, int iResBeg, int iResEnd);

};
 
//==========================================================================

// Sigma0Process is the base class for unresolved and minimum-bias processes.
// It is derived from SigmaProcess.

class Sigma0Process : public SigmaProcess {

public:

  // Destructor.
  virtual ~Sigma0Process() {}

  // Number of final-state particles.
  virtual int    nFinal() const {return 2;};

  // No partonic flux to be set up.
  virtual bool   initFlux() {return true;}

  // Evaluate sigma for unresolved processes.
  virtual double sigmaHat() {return 0.;}

  // Since no PDF's there is no difference from above.
  virtual double sigmaPDF() {return sigmaHat();}

  // Answer for these processes already in mb, so do not convert.
  virtual bool convert2mb() const {return false;}

protected:

  // Constructor.
  Sigma0Process() {}

};
 
//==========================================================================

// Sigma1Process is the base class for 2 -> 1 processes.
// It is derived from SigmaProcess.

class Sigma1Process : public SigmaProcess {

public:

  // Destructor.
  virtual ~Sigma1Process() {}

  // Number of final-state particles.
  virtual int    nFinal() const {return 1;};

  // Input and complement kinematics for resolved 2 -> 1 process.
  virtual void   set1Kin( double x1in, double x2in, double sHin) {
    store1Kin( x1in, x2in, sHin); sigmaKin();}

  // Evaluate sigmaHat(sHat) for resolved 2 -> 1 processes.
  virtual double sigmaHat() {return 0.;}

  // Wrapper to sigmaHat, to (a) store current incoming flavours,
  // (b) convert from GeV^-2 to mb where required, and
  // (c) convert from |M|^2 to d(sigmaHat)/d(tHat) where required.
  virtual double sigmaHatWrap(int id1in = 0, int id2in = 0);

protected:

  // Constructor.
  Sigma1Process() {}

  // Store kinematics and set scales for resolved 2 -> 1 process.
  virtual void   store1Kin( double x1in, double x2in, double sHin);

  // Calculate modified masses and four-vectors for matrix elements.
  virtual bool   setupForME();

};
 
//==========================================================================

// Sigma2Process is the base class for 2 -> 2 processes.
// It is derived from SigmaProcess.

class Sigma2Process : public SigmaProcess {

public:

  // Destructor.
  virtual ~Sigma2Process() {}

  // Number of final-state particles.
  virtual int    nFinal() const {return 2;};

  // Input and complement kinematics for resolved 2 -> 2 process.
  virtual void   set2Kin( double x1in, double x2in, double sHin,
    double tHin, double m3in, double m4in, double runBW3in,
    double runBW4in) { store2Kin( x1in, x2in, sHin, tHin, m3in, m4in,
    runBW3in, runBW4in); sigmaKin();}

  // Ditto, but for Multiparton Interactions applications, so different input.
  virtual void   set2KinMPI( double x1in, double x2in, double sHin,
    double tHin, double uHin, double alpSin, double alpEMin,
    bool needMasses, double m3in, double m4in) {
    store2KinMPI( x1in, x2in, sHin, tHin, uHin, alpSin, alpEMin,
    needMasses, m3in, m4in); sigmaKin();}

  // Evaluate d(sigmaHat)/d(tHat) for resolved 2 -> 2 processes.
  virtual double sigmaHat() {return 0.;}

  // Wrapper to sigmaHat, to (a) store current incoming flavours,
  // (b) convert from GeV^-2 to mb where required, and
  // (c) convert from |M|^2 to d(sigmaHat)/d(tHat) where required.
  virtual double sigmaHatWrap(int id1in = 0, int id2in = 0) {
    id1 = id1in; id2 = id2in; double sigmaTmp = sigmaHat();
    if (convertM2())  sigmaTmp /= 16. * M_PI * sH2;
    if (convert2mb()) sigmaTmp *= CONVERT2MB; return sigmaTmp;}

  // Perform kinematics for a Multiparton Interaction, in its rest frame.
  virtual bool   final2KinMPI( int i1Res = 0, int i2Res = 0, Vec4 p1Res = 0.,
    Vec4 p2Res = 0., double m1Res = 0., double m2Res = 0.);

protected:

  // Constructor.
  Sigma2Process() : tH(0.), uH(0.), tH2(0.), uH2(0.), m3(0.), s3(0.),
    m4(0.), s4(0.), pT2(0.), runBW3(0.), runBW4(0.) {}

  // Store kinematics and set scales for resolved 2 -> 2 process.
  virtual void   store2Kin( double x1in, double x2in, double sHin,
    double tHin, double m3in, double m4in, double runBW3in,
    double runBW4in);
  virtual void   store2KinMPI( double x1in, double x2in, double sHin,
    double tHin, double uHin, double alpSin, double alpEMin,
    bool needMasses, double m3in, double m4in);

  // Calculate modified masses and four-vectors for matrix elements.
  virtual bool   setupForME();

  // Store subprocess kinematics quantities.
  double tH, uH, tH2, uH2, m3, s3, m4, s4, pT2, runBW3, runBW4;

};
 
//==========================================================================

// Sigma3Process is the base class for 2 -> 3 processes.
// It is derived from SigmaProcess.

class Sigma3Process : public SigmaProcess {

public:

  // Destructor.
  virtual ~Sigma3Process() {}

  // Number of final-state particles.
  virtual int    nFinal() const {return 3;};

  // Input and complement kinematics for resolved 2 -> 3 process.
  virtual void   set3Kin( double x1in, double x2in, double sHin,
    Vec4 p3cmIn, Vec4 p4cmIn, Vec4 p5cmIn, double m3in, double m4in,
    double m5in, double runBW3in, double runBW4in, double runBW5in) {
    store3Kin( x1in, x2in, sHin, p3cmIn, p4cmIn, p5cmIn, m3in, m4in, m5in,
    runBW3in, runBW4in, runBW5in); sigmaKin();}

  // Evaluate d(sigmaHat)/d(tHat) for resolved 2 -> 3 processes.
  virtual double sigmaHat() {return 0.;}

protected:

  // Constructor.
  Sigma3Process() {}

  // Store kinematics and set scales for resolved 2 -> 3 process.
  virtual void   store3Kin( double x1in, double x2in, double sHin,
    Vec4 p3cmIn, Vec4 p4cmIn, Vec4 p5cmIn, double m3in, double m4in,
    double m5in, double runBW3in, double runBW4in, double runBW5in);

  // Calculate modified masses and four-vectors for matrix elements.
  virtual bool   setupForME();

  // Store subprocess kinematics quantities.
  double m3, s3, m4, s4, m5, s5, runBW3, runBW4, runBW5;
  Vec4   p3cm, p4cm, p5cm;

};
 
//==========================================================================

// SigmaLHAProcess is a wrapper class for Les Houches Accord external input.
// It is derived from SigmaProcess.

class SigmaLHAProcess : public SigmaProcess {

public:

  // Constructor.
  SigmaLHAProcess() {}

  // Destructor.
  virtual ~SigmaLHAProcess() {}

  // No partonic flux to be set up.
  virtual bool   initFlux() {return true;}

  // Dummy function: action is put in PhaseSpaceLHA.
  virtual double sigmaPDF() {return 1.;}

  // Evaluate weight for decay angular configuration, where relevant.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Set scale, when that is missing for an external LHA process.
  virtual void   setScale();

  // Info on the subprocess.
  virtual string name()     const {return "Les Houches User Process(es)";}
  virtual int    code()     const {return 9999;}

  // Number of final-state particles depends on current process choice.
  virtual int    nFinal()   const;
 
  // Answer for these processes not in GeV^-2, so do not do this conversion.
  virtual bool   convert2mb() const {return false;}

  // Ensure special treatment of Les Houches processes.
  virtual bool   isLHA()    const {return true;}

  // Special treatment needed if negative cross sections allowed.
  virtual bool   allowNegativeSigma() const {
    return (lhaUpPtr->strategy() < 0);}

private:

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaProcess_H
 
pythia8-8.1.86.orig/include/Pythia8/SigmaEW.h0000644000175000017500000007143412357054743017000 0ustar  sunsun// SigmaEW.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for electroweak process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma(1/2)Process.

#ifndef Pythia8_SigmaEW_H
#define Pythia8_SigmaEW_H

#include "Pythia8/PythiaComplex.h"
#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {

 
//==========================================================================

// A derived class for q g -> q gamma (q = u, d, s, c, b).
// Use massless approximation also for Q since no alternative.

class Sigma2qg2qgamma : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2qgamma() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q g -> q gamma (udscb)";}
  virtual int    code()   const {return 201;}
  virtual string inFlux() const {return "qg";}

private:

  // Values stored for later use.
  double sigUS, sigma0;

};
 
//==========================================================================

// A derived class for q qbar -> g gamma.

class Sigma2qqbar2ggamma : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2ggamma() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q qbar -> g gamma";}
  virtual int    code()   const {return 202;}
  virtual string inFlux() const {return "qqbarSame";}

private:

  // Values stored for later use.
  double sigma0;

};
 
//==========================================================================

// A derived class for g g -> g gamma.

class Sigma2gg2ggamma : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2ggamma() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "g g -> g gamma";}
  virtual int    code()   const {return 203;}
  virtual string inFlux() const {return "gg";}

private:

  // Values stored for later use.
  double chargeSum, sigma;

};
 
//==========================================================================

// A derived class for f fbar -> gamma gamma.

class Sigma2ffbar2gammagamma : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2gammagamma() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "f fbar -> gamma gamma";}
  virtual int    code()   const {return 204;}
  virtual string inFlux() const {return "ffbarSame";}

private:

  // Values stored for later use.
  double sigTU, sigma0;

};
 
//==========================================================================

// A derived class for g g -> gamma gamma.

class Sigma2gg2gammagamma : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2gammagamma() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "g g -> gamma gamma";}
  virtual int    code()   const {return 205;}
  virtual string inFlux() const {return "gg";}

private:
  
  double charge2Sum, sigma;

};
 
//==========================================================================

// A derived class for f f' -> f f' via t-channel gamma*/Z0 exchange.

class Sigma2ff2fftgmZ : public Sigma2Process {

public:

  // Constructor.
  Sigma2ff2fftgmZ() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "f f' -> f f' (t-channel gamma*/Z0)";}
  virtual int    code()   const {return 211;}
  virtual string inFlux() const {return "ff";}

private:

  //  Z parameters for propagator.
  int    gmZmode;
  double mZ, mZS, thetaWRat, sigmagmgm, sigmagmZ, sigmaZZ;

};
 
//==========================================================================

// A derived class for f_1 f_2 -> f_3 f_4 via t-channel W+- exchange.

class Sigma2ff2fftW : public Sigma2Process {

public:

  // Constructor.
  Sigma2ff2fftW() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "f_1 f_2 -> f_3 f_4 (t-channel W+-)";}
  virtual int    code()   const {return 212;}
  virtual string inFlux() const {return "ff";}

private:

  //  W parameters for propagator.
  double mW, mWS, thetaWRat, sigma0;

};
 
//==========================================================================

// A derived class for q q' -> Q q" via t-channel W+- exchange.
// Related to Sigma2ff2fftW class, but with massive matrix elements.

class Sigma2qq2QqtW : public Sigma2Process {

public:

  // Constructor.
  Sigma2qq2QqtW(int idIn, int codeIn) : idNew(idIn), codeSave(codeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angles in top decay (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ff";}
  virtual int    id3Mass() const {return idNew;}

private:

  // Values stored for process type. W parameters for propagator.
  int    idNew, codeSave;
  string nameSave;
  double mW, mWS, thetaWRat, sigma0, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f fbar -> gamma*/Z0.

class Sigma1ffbar2gmZ : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2gmZ() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for Z decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar -> gamma*/Z0";}
  virtual int    code()       const {return 221;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    resonanceA() const {return 23;}

private:

  // Parameters set at initialization or for each new event.
  int    gmZmode;
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat,
         gamSum, intSum, resSum, gamProp, intProp, resProp;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
 
//==========================================================================

// A derived class for f fbar' -> W+-.

class Sigma1ffbar2W : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2W() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar' -> W+-";}
  virtual int    code()       const {return 222;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual int    resonanceA() const {return 24;}

private:

  // Parameters set at initialization.
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0Pos, sigma0Neg;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};

//==========================================================================

// A derived class for f fbar -> gamma* -> f' fbar', summed over light f'.
// Allows pT-ordered evolution for multiparton interactions.

class Sigma2ffbar2ffbarsgm : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2ffbarsgm() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {
    return "f fbar -> f' fbar' (s-channel gamma*)";}
  virtual int    code()       const {return 223;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}

private:

  // Values stored for later use.
  int    idNew;
  double sigma0;

};

//==========================================================================

// A derived class for f fbar -> gamma*/Z0 -> f' fbar', summed over light f.

class Sigma2ffbar2ffbarsgmZ : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2ffbarsgmZ() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {
    return "f fbar -> f' fbar' (s-channel gamma*/Z0)";}
  virtual int    code()       const {return 224;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}
  virtual int    idSChannel() const {return 23;}
  virtual int    resonanceA() const {return 23;}

private:

  // Parameters set at initialization or for each new event.
  int    gmZmode;
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, colQ,
         gamSumT, gamSumL, intSumT, intSumL, intSumA, resSumT, resSumL,
         resSumA, gamProp, intProp, resProp, cThe;
  vector idVec;
  vector gamT, gamL, intT, intL, intA, resT, resL, resA, sigTLA;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};

//==========================================================================

// A derived class for f_1 fbar_2 -> W+- -> f_3 fbar_4, summed over light f.

class Sigma2ffbar2ffbarsW : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2ffbarsW() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {
    return "f_1 fbar_2 -> f_3 fbar_4 (s-channel W+-)";}
  virtual int    code()       const {return 225;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual bool   isSChannel() const {return true;}
  virtual int    idSChannel() const {return 24;}
  virtual int    resonanceA() const {return 24;}

private:

  // Parameters set at initialization or stored for later use.
  int    id3New, id4New;
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};

//==========================================================================

// A derived class for f fbar -> gamma*/Z0 -> F Fbar, for one heavy F.
// Allows pT cuts as for other 2 -> 2 processes.

class Sigma2ffbar2FFbarsgmZ : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2FFbarsgmZ(int idIn, int codeIn) : idNew(idIn),
    codeSave(codeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angles in top decay (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}
  virtual int    id3Mass()    const {return idNew;}
  virtual int    id4Mass()    const {return idNew;}
  virtual int    resonanceA() const {return 23;}

private:

  // Values stored for process type. Z parameters for propagator.
  int    idNew, codeSave, gmZmode;
  string nameSave;
  bool   isPhysical;
  double ef, vf, af, mRes, GammaRes, m2Res, GamMRat, thetaWRat,
         mr, betaf, cosThe, gamProp, intProp, resProp, openFracPair;

};

//==========================================================================

// A derived class for f fbar' -> W+- -> F fbar", for one or two heavy F.
// Allows pT cuts as for other 2 -> 2 processes.

class Sigma2ffbar2FfbarsW : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2FfbarsW(int idIn, int idIn2, int codeIn) : idNew(idIn),
    idNew2(idIn2), codeSave(codeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angles in top decay (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual bool   isSChannel() const {return true;}
  virtual int    id3Mass()    const {return idNew;}
  virtual int    id4Mass()    const {return idPartner;}
  virtual int    resonanceA() const {return 24;}

private:

  // Values stored for process type. W parameters for propagator.
  int    idNew, idNew2, codeSave, idPartner;
  string nameSave;
  bool   isPhysical;
  double V2New, mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0,
         openFracPos, openFracNeg;

};
 
//==========================================================================

// An intermediate class for f fbar -> gamma*/Z0/W+- gamma*/Z0/W-+.

class Sigma2ffbargmZWgmZW : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbargmZWgmZW() {}

protected:

  // Internal products.
  Vec4    pRot[7];
  complex hA[7][7];
  complex hC[7][7];

  // Calculate and store internal products.
  void setupProd( Event& process, int i1, int i2, int i3, int i4,
    int i5, int i6);

  // Evaluate the F function of Gunion and Kunszt.
  complex fGK(int i1, int i2, int i3, int i4, int i5, int i6);

  // Evaluate the Xi function of Gunion and Kunszt.
  double xiGK( double tHnow, double uHnow);

  // Evaluate the Xj function of Gunion and Kunszt.
  double xjGK( double tHnow, double uHnow);

private:

};
 
//==========================================================================

// A derived class for f fbar -> gamma*/Z0 gamma*/Z0.

class Sigma2ffbar2gmZgmZ : public Sigma2ffbargmZWgmZW {

public:

  // Constructor.
  Sigma2ffbar2gmZgmZ() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for simultaneous flavour choices.
  virtual double weightDecayFlav( Event& process);

  // Evaluate weight for decay angles of the two gamma*/Z0.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return "f fbar -> gamma*/Z0 gamma*/Z0";}
  virtual int    code()    const {return 231;}
  virtual string inFlux()  const {return "ffbarSame";}
  virtual int    id3Mass() const {return 23;}
  virtual int    id4Mass() const {return 23;}

private:

  // Parameters set at initialization or for each new event.
  int    gmZmode, i1, i2, i3, i4, i5, i6;
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0,
         gamSum3, intSum3, resSum3, gamProp3, intProp3, resProp3,
         gamSum4, intSum4, resSum4, gamProp4, intProp4, resProp4,
         c3LL, c3LR, c3RL, c3RR, c4LL, c4LR, c4RL, c4RR, flavWt;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
 
//==========================================================================

// A derived class for f fbar' -> Z0 W+-. (Here pure Z0, unfortunately.)

class Sigma2ffbar2ZW : public Sigma2ffbargmZWgmZW {

public:

  // Constructor.
  Sigma2ffbar2ZW() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for Z0 and W+- decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar' -> Z0 W+- (no gamma*!)";}
  virtual int    code()       const {return 232;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual int    id3Mass()    const {return 23;}
  virtual int    id4Mass()    const {return 24;}
  virtual int    resonanceA() const {return 24;}

private:

  // Store W+- mass and width, and couplings.
  double mW, widW, mWS, mwWS, sin2thetaW, cos2thetaW, thetaWRat, cotT,
         thetaWpt, thetaWmm, lun, lde, sigma0, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f fbar -> W+ W-.

class Sigma2ffbar2WW : public Sigma2ffbargmZWgmZW {

public:

  // Constructor.
  Sigma2ffbar2WW() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W+ and W- decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar -> W+ W-";}
  virtual int    code()       const {return 233;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    id3Mass()    const {return 24;}
  virtual int    id4Mass()    const {return -24;}
  virtual int    resonanceA() const {return 23;}

private:

  // Store Z0 mass and width.
  double mZ, widZ, mZS, mwZS, thetaWRat, sigma0, cgg, cgZ, cZZ, cfg,
    cfZ, cff, gSS, gTT, gST, gUU, gSU, openFracPair;

};
 
//==========================================================================

// An intermediate class for f fbar -> gamma*/Z0 g/gamma and permutations.

class Sigma2ffbargmZggm : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbargmZggm() {}

  // Initialize process.
  virtual void initProc();

  // Evaluate weight for gamma&/Z0 decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

protected:

  // Parameters set at initialization or for each new event.
  int    gmZmode;
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat,
         gamSum, intSum, resSum, gamProp, intProp, resProp;

  // Evaluate current sum of flavour couplings times phase space.
  void flavSum();

  // Evaluate current propagator terms of cross section.
  void propTerm();

private:

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
 
//==========================================================================

// A derived class for q qbar -> gamma*/Z0 g.

class Sigma2qqbar2gmZg : public Sigma2ffbargmZggm {

public:

  // Constructor.
  Sigma2qqbar2gmZg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q qbar -> gamma*/Z0 g";}
  virtual int    code()    const {return 241;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return 23;}

private:

  // Values stored for later use.
  double sigma0;

};
 
//==========================================================================

// A derived class for q g -> gamma*/Z0 q.

class Sigma2qg2gmZq : public Sigma2ffbargmZggm {

public:

  // Constructor.
  Sigma2qg2gmZq() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q g-> gamma*/Z0 q";}
  virtual int    code()    const {return 242;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return 23;}

private:

  // Values stored for later use.
  double sigma0;

};
 
//==========================================================================

// A derived class for f fbar' -> gamma*/Z0 gamma.

class Sigma2ffbar2gmZgm : public Sigma2ffbargmZggm {

public:

  // Constructor.
  Sigma2ffbar2gmZgm() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "f fbar -> gamma*/Z0 gamma";}
  virtual int    code()    const {return 243;}
  virtual string inFlux()  const {return "ffbarSame";}
  virtual int    id3Mass() const {return 23;}

private:

  // Values stored for later use.
  double sigma0;

};
 
//==========================================================================

// A derived class for f gamma -> gamma*/Z0 f.

class Sigma2fgm2gmZf : public Sigma2ffbargmZggm {

public:

  // Constructor.
  Sigma2fgm2gmZf() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "f gamma -> gamma*/Z0 f";}
  virtual int    code()    const {return 244;}
  virtual string inFlux()  const {return "fgm";}
  virtual int    id3Mass() const {return 23;}

private:

  // Values stored for later use.
  double sigma0;

};
 
//==========================================================================

// An intermediate class for f fbar -> W+- g/gamma and permutations.

class Sigma2ffbarWggm : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbarWggm() {}

  // Evaluate weight for gamma&/Z0 decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

private:

};
 
//==========================================================================

// A derived class for q qbar' -> W+- g.

class Sigma2qqbar2Wg : public Sigma2ffbarWggm {

public:

  // Constructor.
  Sigma2qqbar2Wg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q qbar' -> W+- g";}
  virtual int    code()    const {return 251;}
  virtual string inFlux()  const {return "ffbarChg";}
  virtual int    id3Mass() const {return 24;}

private:

  // Values stored for later use.
  double sigma0, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for q g -> W+- q'.

class Sigma2qg2Wq : public Sigma2ffbarWggm {

public:

  // Constructor.
  Sigma2qg2Wq() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "q g-> W+- q'";}
  virtual int    code()    const {return 252;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return 24;}

private:

  // Values stored for later use.
  double sigma0, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f fbar' -> W+- gamma.

class Sigma2ffbar2Wgm : public Sigma2ffbarWggm {

public:

  // Constructor.
  Sigma2ffbar2Wgm() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "f fbar' -> W+- gamma";}
  virtual int    code()    const {return 253;}
  virtual string inFlux()  const {return "ffbarChg";}
  virtual int    id3Mass() const {return 24;}

private:

  // Values stored for later use.
  double sigma0, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f gamma -> W+- f'.

class Sigma2fgm2Wf : public Sigma2ffbarWggm {

public:

  // Constructor.
  Sigma2fgm2Wf() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return "f gamma -> W+- f'";}
  virtual int    code()    const {return 254;}
  virtual string inFlux()  const {return "fgm";}
  virtual int    id3Mass() const {return 24;}

private:

  // Values stored for later use.
  double sigma0, openFracPos, openFracNeg;

};
//==========================================================================

// A derived class for gamma gamma -> f fbar.

class Sigma2gmgm2ffbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2gmgm2ffbar(int idIn, int codeIn) : idNew(idIn), codeSave(codeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gmgm";}
  virtual int    id3Mass() const {return idMass;}
  virtual int    id4Mass() const {return idMass;}

private:

  // Member variables.
  int    idNew, codeSave, idMass, idNow;
  string nameSave;
  double ef4, s34Avg, sigTU, sigma, openFracPair;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaEW_H
pythia8-8.1.86.orig/include/Pythia8/SigmaExtraDim.h0000644000175000017500000006673112357054743020206 0ustar  sunsun// SigmaExtraDim.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.
 
// Author: Stefan Ask for the *LED* routines.
// Header file for extra-dimensional-process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma(1/2)Process.
 
#ifndef Pythia8_SigmaExtraDim_H
#define Pythia8_SigmaExtraDim_H
 
#include "Pythia8/SigmaProcess.h"
 
namespace Pythia8 {

//==========================================================================
 
// A derived class for g g -> G^* (excited graviton state).
 
class Sigma1gg2GravitonStar : public Sigma1Process {
 
public:
 
  // Constructor.
  Sigma1gg2GravitonStar() {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight for G* decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()       const {return "g g -> G*";}
  virtual int    code()       const {return 5001;}
  virtual string inFlux()     const {return "gg";}
  virtual int    resonanceA() const {return idGstar;}
 
private:
 
  // Parameters set at initialization or for current kinematics.
  bool   eDsmbulk, eDvlvl;
  int    idGstar;
  double mRes, GammaRes, m2Res, GamMRat, kappaMG, sigma;
 
  // Couplings between graviton and SM (indexed by particle id).
  double eDcoupling[27];
 
  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* gStarPtr;
 
};
 
//==========================================================================
 
// A derived class for f fbar -> G^* (excited graviton state).
 
class Sigma1ffbar2GravitonStar : public Sigma1Process {
 
public:
 
  // Constructor.
  Sigma1ffbar2GravitonStar() {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight for G* decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()       const {return "f fbar -> G*";}
  virtual int    code()       const {return 5002;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    resonanceA() const {return idGstar;}
 
private:
 
  // Parameters set at initialization or for current kinematics.
  bool   eDsmbulk, eDvlvl;
  int    idGstar;
  double mRes, GammaRes, m2Res, GamMRat, kappaMG, sigma0;
 
  // Couplings between graviton and SM (indexed by particle id).
  double eDcoupling[27];
 
  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* gStarPtr;
 
};
 
//==========================================================================
 
// A derived class for q qbar -> g^*/KK-gluon^* (excited kk-gluon state).
 
class Sigma1qqbar2KKgluonStar : public Sigma1Process {
 
public:
 
  // Constructor.
  Sigma1qqbar2KKgluonStar() {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight for g* decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()       const {return "q qbar -> g*/KK-gluon*";}
  virtual int    code()       const {return 5006;}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual int    resonanceA() const {return idKKgluon;}
 
private:
 
  // Parameters set at initialization or for current kinematics.
  int    idKKgluon;
  double mRes, GammaRes, m2Res, GamMRat;
  double sumSM, sumInt, sumKK, sigSM, sigInt, sigKK;
 
  // Couplings between kk gluon and SM (indexed by particle id).
  // Helicity dependent couplings. Use vector/axial-vector
  // couplings internally, gv/ga = 0.5 * (gL +/- gR).
  double eDgv[10], eDga[10];

  // Interference parameter.
  int interfMode;
 
  // Pointer to properties of the particle species, to access decay
  // channels.
  ParticleDataEntry* gStarPtr;
 
};
 
//==========================================================================
 
// A derived class for g g -> G^* g (excited graviton state).
 
class Sigma2gg2GravitonStarg : public Sigma2Process {
 
public:
 
  // Constructor.
  Sigma2gg2GravitonStarg() {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight: currently isotropic (except secondary top decay)..
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()    const {return "g g -> G* g";}
  virtual int    code()    const {return 5003;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idGstar;}
 
private:
 
  // Parameters set at initialization or for current kinematics.
  int    idGstar;
  double mRes, GammaRes, m2Res, GamMRat, kappaMG, openFrac, sigma;
 
};
 
//==========================================================================
 
// A derived class for q g -> G^* q (excited graviton state).
 
class Sigma2qg2GravitonStarq : public Sigma2Process {
 
public:
 
  // Constructor.
  Sigma2qg2GravitonStarq() {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight: currently isotropic (except secondary top decay).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()    const {return "q g -> G* q";}
  virtual int    code()    const {return 5004;}
  virtual string inFlux()  const {return "qg";}
  virtual int    id3Mass() const {return idGstar;}
 
private:
 
  // Parameters set at initialization or for current kinematics.
  int    idGstar;
  double mRes, GammaRes, m2Res, GamMRat, kappaMG, openFrac, sigma;
 
};
 
//==========================================================================
 
// A derived class for q qbar -> G^* g (excited graviton state).
 
class Sigma2qqbar2GravitonStarg : public Sigma2Process {
 
public:
 
  // Constructor.
  Sigma2qqbar2GravitonStarg() {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight: currently isotropic (except secondary top decay).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()    const {return "q qbar -> G* g";}
  virtual int    code()    const {return 5005;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return idGstar;}
 
private:
 
  // Parameters set at initialization or for current kinematics.
  int    idGstar;
  double mRes, GammaRes, m2Res, GamMRat, kappaMG, openFrac, sigma;
 
};
 
//==========================================================================
 
// NOAM: A derived class for, f fbar -> (gamma/Z)_KKTower -> F Fbar,
// for one heavy F.
// Process provided by N. Hod et al. and is described in arXiv:XXXX.YYYY
 
class Sigma2ffbar2TEVffbar : public Sigma2Process {
 
public:
 
  // Constructor.
  Sigma2ffbar2TEVffbar(int idIn, int codeIn) : idNew(idIn), codeSave(codeIn) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Evaluate weight for W decay angles in top decay (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);
 
  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}
  virtual int    idSChannel() const {return 5000023;}
  virtual int    resonanceA() const {return 23;}
  virtual int    resonanceB() const {return 5000023;}
  virtual int    id3Mass()    const {return idNew;}
  virtual int    id4Mass()    const {return idNew;}
  // Add phase-space sampling also around the Z_KK resonance.
  virtual int    resonanceA();
  virtual int    resonanceB();
 
private:
 
  // Values stored for process type.
  string  nameSave;
  int     idNew, gmZmode, codeSave, nexcitationmax;
  bool    isPhysical;
  double  gPlusf, gMinusf, gPlusF, gMinusF, gPlusTop, gMinusTop, gf, gF;
  double  mRes, m2Res, mStar, mTop, m2Top, mZKKn, m2ZKKn, m2gmKKn, mgmKKn,
          alphaemfixed;
  double  helicityME2, coefTot, coefAngular;
  double  mr, betaf, cosThe, openFracPair;
  double  wgmKKFactor, wgmKKn, wZKKn,
          wZ0, ttbarwZKKn, ttbarwgmKKn,
          ttbarwFactorA, ttbarwFactorB;
  double  phaseSpacemHatMin, phaseSpacemHatMax;
  complex gammaProp, resProp, gmPropKK, ZPropKK, totalProp;
  complex mI;
};
 
//==========================================================================
 
// A derived class for g g -> U/G g (real graviton emission in
// large extra dimensions or unparticle emission).
 
class Sigma2gg2LEDUnparticleg : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2gg2LEDUnparticleg( bool Graviton ) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "g g -> G g" : "g g -> U g") ;}
  virtual int    code()       const {return (eDgraviton ? 5021 : 5045);}
  virtual string inFlux()     const {return "gg";}
  virtual int    id3Mass()    const {return 5000039;}
  virtual int    id4Mass()    const {return 21;}
 
private:
 
  bool   eDgraviton;
  int    eDspin, eDnGrav, eDidG, eDcutoff;
  double mG, mGS, eDsigma0, eDdU, eDLambdaU, eDlambda, eDconstantTerm,
         eDtff, eDcf;
 
};
 
//==========================================================================
 
// A derived class for q g -> U/G q (real graviton emission in
// large extra dimensions or unparticle emission).
 
class Sigma2qg2LEDUnparticleq : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2qg2LEDUnparticleq( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "q g -> G q" : "q g -> U q") ;}
  virtual int    code()       const {return (eDgraviton ? 5022 : 5046);}
  virtual string inFlux()     const {return "qg";}
  virtual int    id3Mass()    const {return 5000039;}
 
private:
 
  bool   eDgraviton;
  int    eDspin, eDnGrav, eDidG, eDcutoff;
  double mG, mGS, eDsigma0, eDdU, eDLambdaU, eDlambda, eDconstantTerm,
         eDtff, eDgf, eDcf;
 
};
 
//==========================================================================
 
// A derived class for q qbar -> U/G g (real graviton emission in
// large extra dimensions or unparticle emission).
 
class Sigma2qqbar2LEDUnparticleg : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2qqbar2LEDUnparticleg( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "q qbar -> G g" : "q qbar -> U g") ;}
  virtual int    code()       const {return (eDgraviton ? 5023 : 5047);}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual int    id3Mass()    const {return 5000039;}
  virtual int    id4Mass()    const {return 21;}
 
private:
 
  bool   eDgraviton;
  int    eDspin, eDnGrav, eDidG, eDcutoff;
  double mG, mGS, eDsigma0, eDdU, eDLambdaU, eDlambda, eDconstantTerm,
         eDtff, eDgf, eDcf;
 
};
 
//==========================================================================
 
// A derived class for f fbar -> U/G Z (real graviton emission in
// large extra dimensions or unparticle emission).
 
class Sigma2ffbar2LEDUnparticleZ : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2ffbar2LEDUnparticleZ( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "f fbar -> G Z" : "f fbar -> U Z") ;}
  virtual int    code()       const {return (eDgraviton ? 5024 : 5041);}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    id3Mass()    const {return 5000039;}
  virtual int    id4Mass()    const {return 23;}
  virtual int    resonanceA() const {return 23;}
  virtual int    gmZmode()    const {return 2;}
 
private:
 
  // Constants: could only be changed in the code itself.
  static const double FIXRATIO;
 
  int    eDspin, eDnGrav, eDcutoff, eDidG;
  bool   eDgraviton;
  double eDdU, eDLambdaU, eDlambda, eDratio, eDlambdaPrime,
         eDtff, eDconstantTerm;
  double sHS, tHS, uHS, tHC, uHC, tHQ, uHQ, tHuH, mU, mUS, mZ, widZ,
         mZS, mwZS, eDsigma0;
 
};
 
//==========================================================================
 
// A derived class for f fbar -> U/G gamma (real graviton emission in
// large extra dimensions or unparticle emission).
 
class Sigma2ffbar2LEDUnparticlegamma : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2ffbar2LEDUnparticlegamma( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "f fbar -> G gamma" : "f fbar -> U gamma") ;}
  virtual int    code()       const {return (eDgraviton ? 5025 : 5042);}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    id3Mass()    const {return 5000039;}
  virtual int    id4Mass()    const {return 22;}
 
private:
 
  // Constants: could only be changed in the code itself.
  static const double FIXRATIO;
 
  int    eDspin, eDnGrav, eDcutoff, eDidG;
  bool   eDgraviton;
  double eDdU, eDLambdaU, eDlambda, eDratio, eDlambdaPrime,
         eDtff, eDconstantTerm;
  double sHS, tHS, uHS, tHC, uHC, tHQ, uHQ, tHuH, mU, mUS, mZ,
         mZS, eDsigma0;
 
};
 
//==========================================================================
 
// A derived class for f fbar -> (LED G*/U*) -> gamma gamma
// (virtual graviton/unparticle exchange).
 
class Sigma2ffbar2LEDgammagamma : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2ffbar2LEDgammagamma( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "f fbar -> (LED G*) -> gamma gamma"
    : "f fbar -> (U*) -> gamma gamma") ;}
  virtual int    code()       const {return (eDgraviton ? 5026 : 5043);}
  virtual string inFlux()     const {return "ffbarSame";}
 
private:
 
  int    eDspin, eDcutoff, eDnGrav, eDnegInt;
  bool   eDgraviton;
  double eDdU, eDLambdaU, eDlambda, eDlambda2chi,
         eDterm1, eDterm2, eDterm3, eDtff;
 
};
 
//==========================================================================
 
// A derived class for g g -> (LED G*/U*) -> gamma gamma
// (virtual graviton/unparticle exchange).
 
class Sigma2gg2LEDgammagamma : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2gg2LEDgammagamma( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return (eDgraviton
    ? "g g -> (LED G*) -> gamma gamma" : "g g -> (U*) -> gamma gamma") ;}
  virtual int    code()       const {return (eDgraviton ? 5027 : 5044);}
  virtual string inFlux()     const {return "gg";}
 
private:
 
  int    eDspin, eDcutoff, eDnGrav;
  bool   eDgraviton;
  double eDdU, eDLambdaU, eDlambda, eDlambda2chi, eDsigma0, eDtff;
 
};
 
//==========================================================================
 
// A derived class for f fbar -> (LED G*/U*) -> l lbar
// (virtual graviton/unparticle exchange).
// Does not include t-channel contributions relevant for e^+e^- to e^+e^-
 
class Sigma2ffbar2LEDllbar : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2ffbar2LEDllbar( bool Graviton) : eDgraviton(Graviton) {}
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat();
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "f fbar -> (LED G*) -> l l" : "f fbar -> (U*) -> l l") ;}
  virtual int    code()       const {return (eDgraviton ? 5028 : 5048);}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual bool   isSChannel() const {return true;}
 
private:
 
  int    eDspin, eDcutoff, eDnGrav,eDnxx, eDnxy, eDnegInt;
  bool   eDgraviton;
  double eDdU, eDLambdaU, eDlambda, eDlambda2chi, eDtff,
         eDmZ, eDmZS, eDGZ, eDGZS, eDabsMeU, eDdenomPropZ, eDrePropGamma,
         eDrePropZ, eDimPropZ, eDabsAS, eDreA, eDreABW, eDpoly1, eDpoly2,
         eDpoly3;
 
};
 
//==========================================================================
 
// A derived class for g g -> (LED G*/U*) -> l lbar
// (virtual graviton/unparticle exchange).
 
class Sigma2gg2LEDllbar : public Sigma2Process {
 
public:
 
  // Constructor: bool Graviton  = true, to use LED graviton settings.
  Sigma2gg2LEDllbar( bool Graviton) : eDgraviton(Graviton) {}
 
 
  // Initialize process.
  virtual void initProc();
 
  // Calculate flavour-independent parts of cross section;
  // first step when inflavours unknown.
  virtual void sigmaKin();
 
  // Evaluate sigmaHat(sHat); second step for given inflavours.
  virtual double sigmaHat() {return eDsigma0;}
 
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();
 
  // Info on the subprocess.
  virtual string name()       const {return
    (eDgraviton ? "g g -> (LED G*) -> l l" : "g g -> (U*) -> l l") ;}
  virtual int    code()       const {return (eDgraviton ? 5029 : 5049);}
  virtual string inFlux()     const {return "gg";}
 
private:
 
  int    eDspin, eDcutoff, eDnGrav;
  bool   eDgraviton;
  double eDdU, eDLambdaU, eDlambda, eDlambda2chi, eDsigma0, eDtff;
 
};

//==========================================================================

// A derived class for g g -> (LED G*) -> g g.

class Sigma2gg2LEDgg : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2LEDgg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "g g -> (LED G*) -> g g";}
  virtual int    code()   const {return 5030;}
  virtual string inFlux() const {return "gg";}

private:

  // Values stored for colour flow selection.
  double sigTS, sigUS, sigTU, sigSum, sigma;

  // Model parameters.
  int eDopMode, eDnGrav, eDcutoff, eDnegInt;
  double eDMD, eDLambdaT, eDtff;

};

//==========================================================================

// A derived class for g g -> (LED G*) -> q qbar.

class Sigma2gg2LEDqqbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2LEDqqbar() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "g g -> (LED G*) -> q qbar (uds)";}
  virtual int    code()   const {return 5031;}
  virtual string inFlux() const {return "gg";}

private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

  // Values stored for colour flow selection.
  int    idNew;
  double mNew, m2New, sigTS, sigUS, sigSum, sigma;

  // Model parameters.
  int eDopMode, eDnGrav, eDcutoff, eDnegInt;
  double eDMD, eDLambdaT, eDtff;

};
 
//==========================================================================

// A derived class for q g -> (LED G*) -> q g.
// Use massless approximation also for Q since no alternative.

class Sigma2qg2LEDqg : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2LEDqg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q g -> (LED G*) -> q g";}
  virtual int    code()   const {return 5032;}
  virtual string inFlux() const {return "qg";}

private:

  // Values stored for colour flow selection.
  double sigTS, sigTU, sigSum, sigma;

  // Model parameters.
  int eDopMode, eDnGrav, eDcutoff, eDnegInt;
  double eDMD, eDLambdaT, eDtff;

};
 
//==========================================================================

// A derived class for q q(bar)' -> (LED G*) -> q q(bar)'.

class Sigma2qq2LEDqq : public Sigma2Process {

public:

  // Constructor.
  Sigma2qq2LEDqq() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q q(bar)' -> (LED G*) -> q q(bar)'";}
  virtual int    code()   const {return 5033;}
  virtual string inFlux() const {return "qq";}

 private:

  // Values stored for colour flow selection.
  double sigT, sigU, sigTU, sigST, sigSum;
  double sigGrT1, sigGrT2, sigGrU, sigGrTU, sigGrST;
 
  // Model parameters.
  int eDopMode, eDnGrav, eDcutoff, eDnegInt;
  double eDMD, eDLambdaT, eDtff;

};
 
//==========================================================================

// A derived class for q qbar -> (LED G*) -> g g.

class Sigma2qqbar2LEDgg : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2LEDgg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q qbar -> (LED G*) -> g g";}
  virtual int    code()   const {return 5034;}
  virtual string inFlux() const {return "qqbarSame";}

 private:

  // Values stored for colour flow selection.
  double sigTS, sigUS, sigSum, sigma;

  // Model parameters.
  int eDopMode, eDnGrav, eDcutoff, eDnegInt;
  double eDMD, eDLambdaT, eDtff;

};
  
//==========================================================================

// A derived class for q qbar -> (LED G*) -> q' qbar'.

class Sigma2qqbar2LEDqqbarNew : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2LEDqqbarNew() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()  const {return "q qbar -> (LED G*) -> q' qbar' (uds)";}
  virtual int    code()   const {return 5035;}
  virtual string inFlux() const {return "qqbarSame";}

 private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

  // Values stored for colour flow selection.
  int    idNew;
  double mNew, m2New, sigS, sigma;

  // Model parameters.
  int eDopMode, eDnGrav, eDcutoff;
  double eDMD, eDLambdaT, eDtff;

};

//==========================================================================
 
} // end namespace Pythia8
 
#endif // Pythia8_SigmaExtraDim_H
pythia8-8.1.86.orig/include/Pythia8/MiniStringFragmentation.h0000644000175000017500000000502312357054734022275 0ustar  sunsun// MiniStringFragmentation.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the class for "cluster" fragmentation.
// MiniStringFragmentation: handle the fragmentation of low-mass systems.

#ifndef Pythia8_MiniStringFragmentation_H
#define Pythia8_MiniStringFragmentation_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/FragmentationSystems.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// The MiniStringFragmentation class contains the routines to fragment
// occasional low-mass colour singlet partonic systems, where the string
// approach is not directly applicable (for technical reasons).

class MiniStringFragmentation {

public:

  // Constructor.
  MiniStringFragmentation() {}

  // Initialize and save pointers.
  void init(Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    StringFlav* flavSelPtrIn, StringPT* pTSelPtrIn, StringZ* zSelPtrIn);

  // Do the fragmentation: driver routine.
  bool fragment( int iSub, ColConfig& colConfig, Event& event,
    bool isDiff = false);

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRYDIFFRACTIVE, NTRYLASTRESORT, NTRYFLAV;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Pointers to classes for flavour, pT and z generation.
  StringFlav*   flavSelPtr;
  StringPT*     pTSelPtr;
  StringZ*      zSelPtr;

  // Initialization data, read from Settings.
  int    nTryMass;
  double bLund;

  // Data members.
  bool   isClosed;
  double mSum, m2Sum;
  Vec4   pSum;
  vector iParton;
  FlavContainer flav1, flav2;

  // Attempt to produce two particles from a cluster.
  bool ministring2two( int nTry, Event& event);

  // Attempt to produce one particle from a cluster.
  bool ministring2one( int iSub, ColConfig& colConfig, Event& event);

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_MiniStringFragmentation_H
pythia8-8.1.86.orig/include/Pythia8/FragmentationSystems.h0000644000175000017500000001414612357054733021666 0ustar  sunsun// FragmentationSystems.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains auxiliary classes in the fragmentation process.
// ColSinglet contains info on an individual singlet.
// ColConfig describes the colour configuration of the whole event.
// StringRegion keeps track on string momenta and directions.
// StringSystem contains all the StringRegions of the colour singlet.

#ifndef Pythia8_FragmentationSystems_H
#define Pythia8_FragmentationSystems_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
 
//==========================================================================

// The ColSinglet class contains info on an individual singlet.
// Only to be used inside ColConfig, so no private members.

class ColSinglet {
  
public:

  // Constructors.
  ColSinglet() : pSum(0., 0., 0., 0.), mass(0.), massExcess(0.),
    hasJunction(false), isClosed(false), isCollected(false) {}
  ColSinglet(vector& iPartonIn, Vec4 pSumIn, double massIn,
    double massExcessIn, bool hasJunctionIn = false,
    bool isClosedIn = false, bool isCollectedIn = false)
    : iParton(iPartonIn), pSum(pSumIn), mass(massIn),
    massExcess(massExcessIn), hasJunction(hasJunctionIn),
    isClosed(isClosedIn), isCollected(isCollectedIn) {}

  // Size of iParton array.
  int size() const { return iParton.size();}

  // Stored quantities.
  vector iParton;
  Vec4   pSum;
  double mass, massExcess;
  bool   hasJunction, isClosed, isCollected;
  
};
 
//==========================================================================

// The ColConfig class describes the colour configuration of the whole event.

class ColConfig {

public:

  // Constructor.
  ColConfig() {singlets.resize(0);}

  // Initialize and save pointers.
  void init(Info* infoPtrIn, Settings& settings, StringFlav* flavSelPtrIn);

  // Number of colour singlets.
  int size() const {return singlets.size();}

  // Overload index operator to access separate colour singlets.
  ColSinglet& operator[](int iSub) {return singlets[iSub];}

  // Clear contents.
  void clear() {singlets.resize(0);}

  // Insert a new colour singlet system in ascending mass order.
  // Calculate its properties. Join nearby partons.
  bool insert( vector& iPartonIn, Event& event);

  // Erase a colour singlet system. (Rare operation.)
  void erase(int iSub) {singlets.erase(singlets.begin() + iSub);}

  // Collect all partons of singlet to be consecutively ordered.
  void collect(int iSub, Event& event, bool skipTrivial = true);

  // Find to which singlet system a particle belongs.
  int findSinglet(int i);

  // List all currently identified singlets.
  void list(ostream& os = cout) const;

private:

  // Constants: could only be changed in the code itself.
  static const double CONSTITUENTMASS;

  // Pointer to various information on the generation.
  Info*       infoPtr;

  // Pointer to class for flavour generation.
  StringFlav* flavSelPtr;

  // Initialization data, to be read from Settings.
  double mJoin, mJoinJunction, mStringMin;
 
  // List of all separate colour singlets.
  vector singlets;

  // Join two legs of junction to a diquark for small invariant masses.
  bool joinJunction( vector& iPartonIn, Event& event,
    double massExcessIn);

};
 
//==========================================================================

// The StringRegion class contains the information related to
// one string section in the evolution of a multiparton system.
// Only to be used inside StringFragmentation and MiniStringFragmentation,
// so no private members.

class StringRegion {

public:

  // Constructor.
  StringRegion() : isSetUp(false), isEmpty(true) {}

  // Constants: could only be changed in the code itself.
  static const double MJOIN, TINY;

  // Data members.
  bool   isSetUp, isEmpty;
  Vec4   pPos, pNeg, eX, eY;
  double w2, xPosProj, xNegProj, pxProj, pyProj;

  // Set up four-vectors for longitudinal and transverse directions.
  void setUp(Vec4 p1, Vec4 p2, bool isMassless = false);

  // Construct a four-momentum from (x+, x-, px, py).
  Vec4 pHad( double xPosIn, double xNegIn, double pxIn, double pyIn)
    { return xPosIn * pPos + xNegIn * pNeg + pxIn * eX + pyIn * eY; }

  // Project a four-momentum onto (x+, x-, px, py). Read out projection.
  void project(Vec4 pIn);
  void project( double pxIn, double pyIn, double pzIn, double eIn)
    { project( Vec4( pxIn, pyIn, pzIn, eIn) ); }
  double xPos() const {return xPosProj;}
  double xNeg() const {return xNegProj;}
  double px() const {return pxProj;}
  double py() const {return pyProj;}

};
 
//==========================================================================

// The StringSystem class contains the complete set of all string regions.
// Only to be used inside StringFragmentation, so no private members.

class StringSystem {

public:

  // Constructor.
  StringSystem() {}

  // Set up system from parton list.
  void setUp(vector& iSys, Event& event);

  // Calculate string region from (iPos, iNeg) pair.
  int iReg( int iPos, int iNeg) const
    {return (iPos * (indxReg - iPos)) / 2 + iNeg;}

  // Reference to string region specified by (iPos, iNeg) pair.
  StringRegion& region(int iPos, int iNeg) {return system[iReg(iPos, iNeg)];}

  // Reference to low string region specified either by iPos or iNeg.
  StringRegion& regionLowPos(int iPos) {
    return system[iReg(iPos, iMax - iPos)]; }
  StringRegion& regionLowNeg(int iNeg) {
    return system[iReg(iMax - iNeg, iNeg)]; }

  // Main content: a vector with all the string regions of the system.
  vector system;

  // Other data members.
  int    sizePartons, sizeStrings, sizeRegions, indxReg, iMax;
  double mJoin, m2Join;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_FragmentationSystems_H
pythia8-8.1.86.orig/include/Pythia8/PythiaComplex.h0000644000175000017500000000115112357054735020260 0ustar  sunsun// PythiaComplex.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for typedef'd double precision complex numbers.

#ifndef Pythia8_PythiaComplex_H
#define Pythia8_PythiaComplex_H

// Stdlib header for complex numbers.
# include 

namespace Pythia8 {

// Convenient typedef for double precision complex numbers.
typedef std::complex complex;

} // end namespace Pythia8

#endif // Pythia8_PythiaComplex_H
pythia8-8.1.86.orig/include/Pythia8/PartonLevel.h0000644000175000017500000001556112357054734017736 0ustar  sunsun// PartonLevel.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the main class for parton-level event generation
// PartonLevel: administrates showers, multiparton interactions and remnants.

#ifndef Pythia8_PartonLevel_H
#define Pythia8_PartonLevel_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/BeamRemnants.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/MultipartonInteractions.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/ResonanceDecays.h"
#include "Pythia8/RHadrons.h"
#include "Pythia8/Settings.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/SpaceShower.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/TimeShower.h"
#include "Pythia8/UserHooks.h"
#include "Pythia8/MergingHooks.h"

namespace Pythia8 {
 
//==========================================================================

// The PartonLevel class contains the top-level routines to generate
// the partonic activity of an event.

class PartonLevel {

public:

  // Constructor.
  PartonLevel() : userHooksPtr(0) {}
 
  // Initialization of all classes at the parton level.
  bool init( Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    BeamParticle* beamPomAPtrIn, BeamParticle* beamPomBPtrIn,
    Couplings* couplingsPtrIn, PartonSystems* partonSystemsPtrIn,
    SigmaTotal* sigmaTotPtr, TimeShower* timesDecPtrIn,
    TimeShower* timesPtrIn, SpaceShower* spacePtrIn,
    RHadrons* rHadronsPtrIn, UserHooks* userHooksPtrIn,
    MergingHooks* mergingHooksPtr, bool useAsTrial);
 
  // Generate the next parton-level process.
  bool next( Event& process, Event& event);

  // Perform showers in resonance decay chains. (For special cases.)
  void setupShowerSys( Event& process, Event& event);
  bool resonanceShowers( Event& process, Event& event, bool skipForR);

  // Perform decays and showers of W and Z emitted in shower.
  bool wzDecayShowers( Event& event);

  // Tell whether failure was due to vetoing.
  bool hasVetoed() const {return doVeto;}

  // Accumulate, print and reset statistics.
  void accumulate() {if (isResolved && !isDiff) multiPtr->accumulate();}
  void statistics(bool reset = false) {
    if (doMPI) multiMB.statistics(reset);}
    // For now no separate statistics for diffraction??
    //if (doMPISDA && doDiffraction) multiSDA.statistics(reset);
    //if (doMPISDB && doDiffraction) multiSDB.statistics(reset);}
  void resetStatistics() { if (doMPI) multiMB.resetStatistics(); }

  // Reset PartonLevel object for trial shower usage.
  void resetTrial();
  // Provide the pT scale of the last branching in the shower.
  double pTLastInShower(){ return pTLastBranch; }
  // Provide the type of the last branching in the shower.
  int typeLastInShower(){ return typeLastBranch; }

private:

  // Constants: could only be changed in the code itself.
  static const int NTRY;

  // Initialization data, mainly read from Settings.
  bool   doNonDiff, doDiffraction, doMPI, doMPIMB, doMPISDA, doMPISDB,
         doMPICD, doMPIinit, doISR, doFSRduringProcess, doFSRafterProcess,
         doFSRinResonances, doRemnants, doSecondHard, hasLeptonBeams,
         hasPointLeptons, canVetoPT, canVetoStep, canVetoMPIStep,
         canVetoEarly, canSetScale, allowRH, earlyResDec, vetoWeakJets,
         canReconResSys;
  double mMinDiff, mWidthDiff, pMaxDiff, vetoWeakDeltaR2;

  // Event generation strategy. Number of steps. Maximum pT scales.
  bool   doVeto;
  int    nMPI, nISR, nFSRinProc, nFSRinRes, nISRhard, nFSRhard,
         typeLatest, nVetoStep, typeVetoStep, nVetoMPIStep, iSysNow;
  double pTsaveMPI, pTsaveISR, pTsaveFSR, pTvetoPT;

  // Current event properties.
  bool   isNonDiff, isDiffA, isDiffB, isDiffC, isDiff, isSingleDiff,
         isDoubleDiff, isCentralDiff, isResolved, isResolvedA,
         isResolvedB, isResolvedC;
  int    sizeProcess, sizeEvent, nHardDone, nHardDoneRHad, iDS;
  double eCMsave;
  vector inRHadDecay;
  vector  iPosBefShow;

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointers to the two incoming beams.
  BeamParticle*  beamAPtr;
  BeamParticle*  beamBPtr;

  // Spare copies of normal pointers. Pointers to Pomeron beam-inside-beam.
  BeamParticle*  beamHadAPtr;
  BeamParticle*  beamHadBPtr;
  BeamParticle*  beamPomAPtr;
  BeamParticle*  beamPomBPtr;

  // Pointers to Standard Model couplings.
  Couplings*     couplingsPtr;
  
  // Pointer to information on subcollision parton locations.
  PartonSystems* partonSystemsPtr;

  // Pointer to userHooks object for user interaction with program.
  UserHooks*     userHooksPtr;

  // Pointers to timelike showers for resonance decays and the rest.
  TimeShower*    timesDecPtr;
  TimeShower*    timesPtr;

  // Pointer to spacelike showers.
  SpaceShower*   spacePtr;

  // The generator classes for multiparton interactions.
  MultipartonInteractions  multiMB;
  MultipartonInteractions  multiSDA;
  MultipartonInteractions  multiSDB;
  MultipartonInteractions  multiCD;
  MultipartonInteractions* multiPtr;

  // The generator class to construct beam-remnant kinematics.
  BeamRemnants remnants;
  // Separate instance for central diffraction.
  BeamRemnants remnantsCD;
  
  // The RHadrons class is used to fragment off and decay R-hadrons.
  RHadrons*    rHadronsPtr;

  // ResonanceDecay object does sequential resonance decays.
  ResonanceDecays resonanceDecays;

  // Resolved diffraction: find how many systems should have it.
  int decideResolvedDiff( Event& process);

  // Set up an unresolved process, i.e. elastic or diffractive.
  bool setupUnresolvedSys( Event& process, Event& event);

  // Set up the hard process, excluding subsequent resonance decays.
  void setupHardSys( Event& process, Event& event);

  // Resolved diffraction: pick whether to have it and set up for it.
  void setupResolvedDiff( Event& process);

  // Resolved diffraction: restore normal behaviour.
  void leaveResolvedDiff( int iHardLoop, Event& process, Event& event);

  // Pointer to MergingHooks object for user interaction with the merging.
  MergingHooks* mergingHooksPtr;
  // Parameters to specify trial shower usage
  bool doTrial;
  int nTrialEmissions;
  // Parameters to store to veto trial showers
  double pTLastBranch;
  int typeLastBranch;
  // Parameters to specify merging usage
  bool canRemoveEvent, canRemoveEmission;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_PartonLevel_H
pythia8-8.1.86.orig/include/Pythia8/PartonSystems.h0000644000175000017500000000652312357054734020334 0ustar  sunsun// PartonSystems.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains auxiliary classes for the parton-level processes.
// PartonSystem contains info on a single partonic subcollision.
// PartonSystems describes the set of subcollisions in the whole event.

#ifndef Pythia8_PartonSystems_H
#define Pythia8_PartonSystems_H

#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {
 
//==========================================================================

// The PartonSystem class contains info on an individual singlet.
// Only to be used inside PartonSystems, so no private members.

class PartonSystem {
  
public:

  // Constructors.
  PartonSystem() : iInA(0), iInB(0), sHat(0.) {iOut.reserve(10);}

  // Stored quantities.
  int         iInA, iInB;
  vector iOut;
  double      sHat, pTHat;
  
};
 
//==========================================================================

// The PartonSystems class describes the whole set of subcollisions.

class PartonSystems {

public:

  // Constructor.
  PartonSystems() {systems.resize(0);}

  // Reset system list to empty.
  void clear() {systems.resize(0);}

  // Add new subsystem to list; return its index. Number of subsystems.
  int addSys() {systems.push_back(PartonSystem());
    return systems.size() - 1;}
  int sizeSys() const {return systems.size();}

  // Set, add or replace info to one system.
  void setInA(int iSys, int iPos) {systems[iSys].iInA = iPos;}
  void setInB(int iSys, int iPos) {systems[iSys].iInB = iPos;}
  void addOut(int iSys, int iPos) {systems[iSys].iOut.push_back(iPos);}
  void setOut(int iSys, int iMem, int iPos) {systems[iSys].iOut[iMem] = iPos;}
  void replace(int iSys, int iPosOld, int iPosNew);
  void setSHat(int iSys, double sHatIn) {systems[iSys].sHat = sHatIn;}
  void setPTHat(int iSys, double pTHatIn) {systems[iSys].pTHat = pTHatIn;}
  void setSizeSys(int iSize) {systems.resize(iSize);}

  // Get info on one system.
  bool hasInAB(int iSys)         const {return ( (systems[iSys].iInA > 0)
                                        || (systems[iSys].iInB > 0) ) ;}
  int getInA(int iSys)           const {return systems[iSys].iInA;}
  int getInB(int iSys)           const {return systems[iSys].iInB;}
  int sizeOut(int iSys)          const {return systems[iSys].iOut.size();}
  int getOut(int iSys, int iMem) const {return systems[iSys].iOut[iMem];}
  int sizeAll(int iSys)          const {return (hasInAB(iSys))
    ? systems[iSys].iOut.size() + 2 : systems[iSys].iOut.size();}
  int getAll(int iSys, int iMem) const;
  double getSHat(int iSys)       const {return systems[iSys].sHat;}
  double getPTHat(int iSys)      const {return systems[iSys].pTHat;}

  // Find system of given outgoing parton, optionally also incoming one.
  int getSystemOf(int iPos, bool alsoIn = false) const;

  // Find iOut index of given system and event record index
  int getIndexOfOut(int iSys, int iPos) const;

  // List all current systems.
  void list(ostream& os = cout) const;

private:
 
  // List of all separate partonic subsystems.
  vector systems;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_PartonSystems_H
pythia8-8.1.86.orig/include/Pythia8/StandardModel.h0000644000175000017500000001542412357054744020223 0ustar  sunsun// StandardModel.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file gives access to some Standard Model parameters.
// AlphaStrong: fix or first- or second-order running alpha_strong.

#ifndef Pythia8_StandardModel_H
#define Pythia8_StandardModel_H

#include "Pythia8/Basics.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// The AlphaStrong class calculates the alpha_strong value at an arbitrary
// scale, given the value at m_Z, to zeroth, first or second order.

class AlphaStrong {

public:

  // Constructors.
  AlphaStrong() : isInit(false), order(0),
    Lambda3Save(0.), Lambda4Save(0.), Lambda5Save(0.), Lambda6Save(0.),
    Lambda3Save2(0.), Lambda4Save2(0.), Lambda5Save2(0.), Lambda6Save2(0.),
    scale2Min(0.), mc2(0.), mb2(0.), mt2(0.), lastCallToFull(false),
    valueRef(0.), valueNow(0.), scale2Now(0.) {}
  AlphaStrong(double valueIn, int orderIn = 1) {
    init( valueIn, orderIn) ;}
  
  // Destructor.
  virtual ~AlphaStrong() {}

  // Initialization for given value at M_Z and given order.
  virtual void init(double valueIn = 0.12, int orderIn = 1, int nfmaxIn = 6,
    bool useCMWIn = false);

  // alpha_S value and Lambda values.
  double alphaS(double scale2);
  double alphaS1Ord(double scale2);
  double alphaS2OrdCorr(double scale2);
  double Lambda3() const { return Lambda3Save; }
  double Lambda4() const { return Lambda4Save; }
  double Lambda5() const { return Lambda5Save; }
  double Lambda6() const { return (nfmax >= 6) ? Lambda6Save : Lambda5Save; }

  // Info: tell which scales we use for flavour thresholds.
  double muThres(int idQ);
  double muThres2(int idQ);

  // Return the CMW factor (for nF between 3 and 6).
  double facCMW( int nFin);

// Protected data members: accessible to derived classes.
protected:

  // Initialization data member.
  bool   isInit;

  // Running order and max number of flavours to use in running.
  int    order, nfmax;

  // Lambda values.
  double Lambda3Save, Lambda4Save, Lambda5Save, Lambda6Save;
  double Lambda3Save2, Lambda4Save2, Lambda5Save2, Lambda6Save2;

  // Smallest allowed renormalization scale.
  double scale2Min;

  // Flavour thresholds.
  static const double MC, MB, MZ, MT;
  double mc2, mb2, mt2;

  // CMW rescaling factors.
  bool useCMW;
  static const double FACCMW3, FACCMW4, FACCMW5, FACCMW6;

  // Safety margins to avoid getting too close to LambdaQCD.
  static const double SAFETYMARGIN1, SAFETYMARGIN2;

// Private data members: not accessible to derived classes.
private:

  // Private constants: could only be changed in the code itself.
  static const int    NITER;

  // Private data members.
  bool   lastCallToFull;
  double valueRef, valueNow, scale2Now;

};

//==========================================================================

// The AlphaEM class calculates the alpha_electromagnetic value at an
// arbitrary scale, given the value at 0 and m_Z, to zeroth or first order.

class AlphaEM {

public:

  // Constructors.
  AlphaEM() {}

  // Initialization for a given order.
  void init(int orderIn, Settings* settingsPtr);

  // alpha_EM value.
  double alphaEM(double scale2);

private:

  // Constants: could only be changed in the code itself.
  static const double MZ, Q2STEP[5], BRUNDEF[5];

  // Data members.
  int    order;
  double alpEM0, alpEMmZ, mZ2, bRun[5], alpEMstep[5];

};

//==========================================================================

// The CoupSM class stores and returns electroweak couplings,
// including Cabibbo-Kobayashi-Maskawa mass mixing matrix elements.

class CoupSM {

public:

  // Constructor.
  CoupSM() {}

  // Initialize, normally from Pythia::init().
  void init(Settings& settings, Rndm* rndmPtrIn);

  // alpha_S value and Lambda values.
  double alphaS(double scale2) {return alphaSlocal.alphaS(scale2);}
  double alphaS1Ord(double scale2) {return alphaSlocal.alphaS1Ord(scale2);}
  double alphaS2OrdCorr(double scale2) {
    return alphaSlocal.alphaS2OrdCorr(scale2);}
  double Lambda3() const {return alphaSlocal.Lambda3();}
  double Lambda4() const {return alphaSlocal.Lambda4();}
  double Lambda5() const {return alphaSlocal.Lambda5();}

  // Return alpha_EM value.
  double alphaEM(double scale2) {return alphaEMlocal.alphaEM(scale2);}

  // Return electroweak mixing angle and Fermi constant.
  double sin2thetaW() {return s2tW;}
  double cos2thetaW() {return c2tW;}
  double sin2thetaWbar() {return s2tWbar;}
  double GF() {return GFermi;}

  // Return electroweak couplings of quarks and leptons.
  double ef(int idAbs) {return efSave[idAbs];}
  double vf(int idAbs) {return vfSave[idAbs];}
  double af(int idAbs) {return afSave[idAbs];}
  double t3f(int idAbs) {return 0.5*afSave[idAbs];}
  double lf(int idAbs) {return lfSave[idAbs];}
  double rf(int idAbs) {return rfSave[idAbs];}
  
  // Return some squared couplings and other combinations.
  double ef2(int idAbs) {return ef2Save[idAbs];}
  double vf2(int idAbs) {return vf2Save[idAbs];}
  double af2(int idAbs) {return af2Save[idAbs];}
  double efvf(int idAbs) {return efvfSave[idAbs];}
  double vf2af2(int idAbs) {return vf2af2Save[idAbs];}

  // Return CKM value or square:
  // first index 1/2/3/4 = u/c/t/t', second 1/2/3/4 = d/s/b/b'.
  double VCKMgen(int genU, int genD) {return VCKMsave[genU][genD];}
  double V2CKMgen(int genU, int genD) {return V2CKMsave[genU][genD];}

  // Return CKM value or square for incoming flavours (sign irrelevant).
  double VCKMid(int id1, int id2);
  double V2CKMid(int id1, int id2);

  // Return CKM sum of squares for given inflavour, or random outflavour.
  double V2CKMsum(int id) {return V2CKMout[abs(id)];}
  int    V2CKMpick(int id);

protected:

  // Constants: could only be changed in the code itself.
  static const double efSave[20], afSave[20];

  // Couplings and VCKM matrix (index 0 not used).
  double s2tW, c2tW, s2tWbar, GFermi, vfSave[20], lfSave[20], rfSave[20],
         ef2Save[20], vf2Save[20], af2Save[20], efvfSave[20],
         vf2af2Save[20], VCKMsave[5][5], V2CKMsave[5][5], V2CKMout[20];

  // Pointer to the random number generator.
  Rndm*       rndmPtr;

  // An AlphaStrong instance for general use (but not MPI, ISR, FSR).
  AlphaStrong alphaSlocal;

  // An AlphaEM instance for general use (but not MPI, ISR, FSR).
  AlphaEM     alphaEMlocal;

};

//==========================================================================

// Generic couplings class

class Couplings : public CoupSM {

public:
  
 Couplings() : isSUSY(false) {}
  bool isSUSY;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_StandardModel_H
pythia8-8.1.86.orig/include/Pythia8/SigmaNewGaugeBosons.h0000644000175000017500000001220112357054744021337 0ustar  sunsun// SigmaNewGaugeBosons.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for new-gauge-boson-process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma1Process.

#ifndef Pythia8_SigmaNewGaugeBosons_H
#define Pythia8_SigmaNewGaugeBosons_H

#include "Pythia8/PythiaComplex.h"
#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// An intermediate class for f fbar -> Z'/W' -> WW/WZ -> 4 fermions.
// Copied from SigmaEW for gauge-boson-pair production.

class Sigma1ffbarZprimeWprime: public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbarZprimeWprime() {}

protected:

  // Internal products.
  Vec4    pRot[7];
  complex hA[7][7];
  complex hC[7][7];

  // Calculate and store internal products.
  void setupProd( Event& process, int i1, int i2, int i3, int i4,
    int i5, int i6);

  // Evaluate the F function of Gunion and Kunszt.
  complex fGK(int i1, int i2, int i3, int i4, int i5, int i6);

  // Evaluate the Xi function of Gunion and Kunszt.
  double xiGK( double tHnow, double uHnow, double s3now, double s4now);

  // Evaluate the Xj function of Gunion and Kunszt.
  double xjGK( double tHnow, double uHnow, double s3now, double s4now);

private:

};
 
//==========================================================================

// A derived class for f fbar -> gamma*/Z0/Z'0.

class Sigma1ffbar2gmZZprime : public Sigma1ffbarZprimeWprime {

public:

  // Constructor.
  Sigma1ffbar2gmZZprime() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for Z' decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar -> gamma*/Z0/Zprime0";}
  virtual int    code()       const {return 3001;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    resonanceA() const {return 23;}
  virtual int    resonanceB() const {return 32;}

private:

  // Parameters set at initialization or for each new event.
  int    gmZmode;
  double mRes, GammaRes, m2Res, GamMRat, sin2tW, cos2tW, thetaWRat,
         mZ, GammaZ, m2Z, GamMRatZ, afZp[20], vfZp[20], coupZpWW,
         anglesZpWW, gamSum, gamZSum, ZSum, gamZpSum, ZZpSum, ZpSum,
         gamNorm, gamZNorm, ZNorm, gamZpNorm, ZZpNorm, ZpNorm;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};

//==========================================================================

// A derived class for f fbar' -> W'+-.

class Sigma1ffbar2Wprime : public Sigma1ffbarZprimeWprime {

public:

  // Constructor.
  Sigma1ffbar2Wprime() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar' -> W'+-";}
  virtual int    code()       const {return 3021;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual int    resonanceA() const {return 34;}

private:

  // Parameters set at initialization.
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0Pos, sigma0Neg,
         aqWp, vqWp, alWp, vlWp, coupWpWZ, anglesWpWZ;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
//==========================================================================

// A derived class for f fbar' -> R^0 (horizontal gauge boson).

class Sigma1ffbar2Rhorizontal : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2Rhorizontal() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "f fbar' -> R^0";}
  virtual int    code()       const {return 3041;}
  virtual string inFlux()     const {return "ffbar";}
  virtual int    resonanceA() const {return 41;}

private:

  // Parameters set at initialization.
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0Pos, sigma0Neg;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia_SigmaNewGaugeBosons_H
pythia8-8.1.86.orig/include/Pythia8/ParticleDecays.h0000644000175000017500000001076412357054734020377 0ustar  sunsun// ParticleDecays.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the classes to perform a particle decay.
// DecayHandler: base class for external handling of decays.
// ParticleDecays: decay a particle.

#ifndef Pythia8_ParticleDecays_H
#define Pythia8_ParticleDecays_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/TimeShower.h"
#include "Pythia8/TauDecays.h"

namespace Pythia8 {
 
//==========================================================================

// DecayHandler is base class for the external handling of decays.
// There is only one pure virtual method, that should do the decay.

class DecayHandler {

public:

  // Destructor.
  virtual ~DecayHandler() {}

  // A pure virtual method, wherein the derived class method does a decay.
  virtual bool decay(vector& idProd, vector& mProd,
    vector& pProd, int iDec, const Event& event) = 0;

};
 
//==========================================================================

// The ParticleDecays class contains the routines to decay a particle.

class ParticleDecays {

public:

  // Constructor.
  ParticleDecays() {}

  // Initialize: store pointers and find settings
  void init(Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    Couplings* couplingsPtrIn, TimeShower* timesDecPtrIn,
    StringFlav* flavSelPtrIn, DecayHandler* decayHandlePtrIn,
    vector handledParticles);
 
  // Perform a decay of a single particle.
  bool decay(int iDec, Event& event);

  // Did decay result in new partons to hadronize?
  bool moreToDo() const {return hasPartons && keepPartons;}

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRYDECAY, NTRYPICK, NTRYMEWT, NTRYDALITZ;
  static const double MSAFEDALITZ, WTCORRECTION[11];

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Pointers to Standard Model couplings.
  Couplings*    couplingsPtr;

  // Pointers to timelike showers, for decays to partons (e.g. Upsilon).
  TimeShower*   timesDecPtr;

  // Pointer to class for flavour generation; needed when to pick hadrons.
  StringFlav*   flavSelPtr;

  // Pointer to a handler of external decays.
  DecayHandler* decayHandlePtr;

  // Initialization data, read from Settings.
  bool   limitTau0, limitTau, limitRadius, limitCylinder, limitDecay,
         mixB, doFSRinDecays, doGammaRad;
  int    sophisticatedTau;
  double mSafety, tau0Max, tauMax, rMax, xyMax, zMax, xBdMix, xBsMix,
         sigmaSoft, multIncrease, multIncreaseWeak, multRefMass, multGoffset,
         colRearrange, stopMass, sRhoDal, wRhoDal;

  // Multiplicity. Decay products positions and masses.
  bool   hasPartons, keepPartons;
  int    idDec, meMode, mult;
  double scale;
  vector    iProd, idProd, cols, acols, idPartons;
  vector mProd, mInv, rndmOrd;
  vector   pInv, pProd;
  vector flavEnds;

  // Pointer to particle data for currently decaying particle
  ParticleDataEntry* decDataPtr;

  // Tau particle decayer.
  TauDecays tauDecayer;

  // Check whether a decay is allowed, given the upcoming decay vertex.
  bool checkVertex(Particle& decayer);

  // Check for oscillations B0 <-> B0bar or B_s0 <-> B_s0bar.
  bool oscillateB(Particle& decayer);

  // Do a one-body decay.
  bool oneBody(Event& event);

  // Do a two-body decay;
  bool twoBody(Event& event);

  // Do a three-body decay;
  bool threeBody(Event& event);

  // Do a multibody decay using the M-generator algorithm.
  bool mGenerator(Event& event);

  // Select mass of lepton pair in a Dalitz decay.
  bool dalitzMass();

  // Do kinematics of gamma* -> l- l+ in Dalitz decay.
  bool dalitzKinematics(Event& event);

  // Translate a partonic content into a set of actual hadrons.
  bool pickHadrons();

  // Set colour flow and scale in a decay explicitly to partons.
  bool setColours(Event& event);
  
};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_ParticleDecays_H
pythia8-8.1.86.orig/include/Pythia8/ProcessContainer.h0000644000175000017500000001724212357054735020763 0ustar  sunsun// ProcessContainer.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the collected machinery of a process.
// ProcessContainer: contains information on a particular process.
// SetupContainers: administrates the selection/creation of processes.

#ifndef Pythia8_ProcessContainer_H
#define Pythia8_ProcessContainer_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/PhaseSpace.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/ResonanceDecays.h"
#include "Pythia8/Settings.h"
#include "Pythia8/SigmaProcess.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/SigmaOnia.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/SusyCouplings.h"
#include "Pythia8/SLHAinterface.h"
#include "Pythia8/UserHooks.h"

namespace Pythia8 {

//==========================================================================

// The ProcessContainer class combines pointers to matrix element and
// phase space generator with general generation info.

class ProcessContainer {

public:

  // Constructor.
  ProcessContainer(SigmaProcess* sigmaProcessPtrIn = 0,
    bool externalPtrIn = false) : sigmaProcessPtr(sigmaProcessPtrIn),
    externalPtr(externalPtrIn), phaseSpacePtr(0) {}

  // Destructor. Do not destroy external sigmaProcessPtr.
  ~ProcessContainer() {delete phaseSpacePtr;
    if (!externalPtr) delete sigmaProcessPtr;}
  
  // Initialize phase space and counters.
  bool init(bool isFirst, Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn, BeamParticle* beamAPtr,
    BeamParticle* beamBPtr, Couplings* couplings, SigmaTotal* sigmaTotPtr,
    ResonanceDecays* resDecaysPtrIn, SLHAinterface* slhaInterfacePtr,
    UserHooks* userHooksPtr);

  // Store or replace Les Houches pointer.
  void setLHAPtr( LHAup* lhaUpPtrIn,  ParticleData* particleDataPtrIn = 0)
    {lhaUpPtr = lhaUpPtrIn;
    if (particleDataPtrIn != 0) particleDataPtr = particleDataPtrIn;
    if (sigmaProcessPtr != 0) sigmaProcessPtr->setLHAPtr(lhaUpPtr);
    if (phaseSpacePtr != 0) phaseSpacePtr->setLHAPtr(lhaUpPtr);}

  // Update the CM energy of the event.
  void newECM(double eCM) {phaseSpacePtr->newECM(eCM);}

  // Generate a trial event; accepted or not.
  bool trialProcess();
  
  // Pick flavours and colour flow of process.
  bool constructState();
  
  // Give the hard subprocess (with option for a second hard subprocess).
  bool constructProcess( Event& process, bool isHardest = true);
  
  // Give the Les Houches decay chain for external resonance.
  bool constructDecays( Event& process);

  // Do resonance decays.
  bool decayResonances( Event& process);

  // Accumulate statistics after user veto.
  void accumulate();

  // Reset statistics on events generated so far.
  void reset();

  // Process name and code, and the number of final-state particles.
  string name()        const {return sigmaProcessPtr->name();}
  int    code()        const {return sigmaProcessPtr->code();}
  int    nFinal()      const {return sigmaProcessPtr->nFinal();}
  bool   isSUSY()      const {return sigmaProcessPtr->isSUSY();}

  // Member functions for info on generation process.
  bool   newSigmaMax() const {return newSigmaMx;}
  double sigmaMax()    const {return sigmaMx;}
  long   nTried()      const {return nTry;}
  long   nSelected()   const {return nSel;}
  long   nAccepted()   const {return nAcc;}
  double weightSum()   const {return wtAccSum;}
  double sigmaSelMC()  {if (nTry > nTryStat) sigmaDelta(); return sigmaAvg;}
  double sigmaMC()     {if (nTry > nTryStat) sigmaDelta(); return sigmaFin;}
  double deltaMC()     {if (nTry > nTryStat) sigmaDelta(); return deltaFin;}

  // Some kinematics quantities.
  int    id1()         const {return sigmaProcessPtr->id(1);}
  int    id2()         const {return sigmaProcessPtr->id(2);}
  double x1()          const {return phaseSpacePtr->x1();}
  double x2()          const {return phaseSpacePtr->x2();}
  double Q2Fac()       const {return sigmaProcessPtr->Q2Fac();}
  double mHat()        const {return sqrtpos(phaseSpacePtr->sHat());}
  double pTHat()       const {return phaseSpacePtr->pTHat();}
 
  // Tell whether container is for Les Houches events.
  bool   isLHAContainer() const {return isLHA;}
  int    lhaStrategy()    const {return lhaStrat;}

  // Info on Les Houches events.
  int    codeLHASize()       const {return codeLHA.size();}
  int    subCodeLHA(int i)   const {return codeLHA[i];}
  long   nTriedLHA(int i)    const {return nTryLHA[i];}
  long   nSelectedLHA(int i) const {return nSelLHA[i];}
  long   nAcceptedLHA(int i) const {return nAccLHA[i];}

  // When two hard processes set or get info whether process is matched.
  void   isSame( bool isSameIn) { isSameSave = isSameIn;}
  bool   isSame()      const {return isSameSave;}

private:

  // Constants: could only be changed in the code itself.
  static const int N12SAMPLE, N3SAMPLE;

  // Pointer to the subprocess matrix element. Mark if external.
  SigmaProcess*    sigmaProcessPtr;
  bool             externalPtr;

  // Pointer to the phase space generator.
  PhaseSpace*      phaseSpacePtr;

  // Pointer to various information on the generation.
  Info*            infoPtr;

  // Pointer to the particle data table.
  ParticleData*    particleDataPtr;

  // Pointer to the random number generator.
  Rndm*            rndmPtr;

  // Pointer to ResonanceDecays object for sequential resonance decays.
  ResonanceDecays* resDecaysPtr;

  // Pointer to userHooks object for user interaction with program.
  UserHooks*       userHooksPtr;

  // Pointer to LHAup for generating external events.
  LHAup*           lhaUpPtr;

  // Possibility to modify Les Houches input.
  int    idRenameBeams, setLifetime;

  // Info on process.
  bool   isLHA, isNonDiff, isResolved, isDiffA, isDiffB, isDiffC, isQCD3body,
         allowNegSig, isSameSave, increaseMaximum, canVetoResDecay;
  int    lhaStrat, lhaStratAbs;

  // Statistics on generation process. (Long integers just in case.)
  bool   newSigmaMx;
  long   nTry, nSel, nAcc, nTryStat;
  double sigmaMx, sigmaSgn, sigmaSum, sigma2Sum, sigmaNeg, sigmaAvg,
         sigmaFin, deltaFin, weightNow, wtAccSum;

  // Statistics for Les Houches event classification.
  vector codeLHA;
  vector nTryLHA, nSelLHA, nAccLHA;

  // Estimate integrated cross section and its uncertainty.
  void sigmaDelta();

};
 
//==========================================================================

// The SetupContainers class turns the list of user-requested processes
// into a vector of ProcessContainer objects, each with a process.

class SetupContainers {

public:

  // Constructor.
  SetupContainers() {}
 
  // Initialization assuming all necessary data already read.
  bool init(vector& containerPtrs, Info* infoPtr,
    Settings& settings, ParticleData* particleDataPtr, Couplings* couplings);
 
  // Initialization of a second hard process.
  bool init2(vector& container2Ptrs, Settings& settings);

private:

  // Methods to check that outgoing SUSY particles are allowed ones.
  void setupIdVecs( Settings& settings);
  bool allowIdVals( int idCheck1, int idCheck2);

  // Arrays of allowed outgoing SUSY particles and their lengths.
  vector idVecA, idVecB;
  int nVecA, nVecB;

  // Helper class to setup onia production.
  SigmaOniaSetup charmonium, bottomonium;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_ProcessContainer_H
pythia8-8.1.86.orig/include/Pythia8/TauDecays.h0000644000175000017500000000766212357054745017372 0ustar  sunsun// TauDecays.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Philip Ilten, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the TauDecays class.

#ifndef Pythia8_TauDecays_H
#define Pythia8_TauDecays_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/HelicityBasics.h"
#include "Pythia8/HelicityMatrixElements.h"
#include "Pythia8/PythiaComplex.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// TauDecays class.
// This class decays tau leptons, with helicity information.

class TauDecays {

public:

  // Constructor and destructor.
  TauDecays() {};
  ~TauDecays() {}

  // Initializer.
  void init(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    Couplings* couplingsPtrIn);

  // Decay a tau or correlated tau pair.
  bool decay(int iDec, Event& event);

  // Choose a decay channel for a particle.
  vector createChildren(HelicityParticle parent);

  // Perform an N-body isotropic decay.
  void isotropicDecay(vector& p);

  // Write the decay to event record.
  void writeDecay(Event& event, vector& p);

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRYCHANNEL, NTRYDECAY;
  static const double WTCORRECTION[11];

  // Flag whether a correlated tau decay should be performed.
  bool   correlated;

  // User selected mode and mother for tau decays.
  int    tauMode, tauMother, tauModeSave, tauMotherSave;

  // User selected polarization for tau decays.
  double polarization, polSave;

  // Helicity matrix element pointers.
  HelicityMatrixElement* hardME;
  HelicityMatrixElement* decayME;

  // Hard process helicity matrix elements.
  HMETwoFermions2W2TwoFermions      hmeTwoFermions2W2TwoFermions;
  HMETwoFermions2Z2TwoFermions      hmeTwoFermions2Z2TwoFermions;
  HMETwoFermions2Gamma2TwoFermions  hmeTwoFermions2Gamma2TwoFermions;
  HMETwoFermions2GammaZ2TwoFermions hmeTwoFermions2GammaZ2TwoFermions;
  HMEZ2TwoFermions                  hmeZ2TwoFermions;
  HMEHiggsEven2TwoFermions          hmeHiggsEven2TwoFermions;
  HMEHiggsOdd2TwoFermions           hmeHiggsOdd2TwoFermions;
  HMEHiggsCharged2TwoFermions       hmeHiggsCharged2TwoFermions;
  HMEUnpolarized                    hmeUnpolarized;

  // Tau decay helicity matrix elements.
  HMETau2Meson                    hmeTau2Meson;
  HMETau2TwoLeptons               hmeTau2TwoLeptons;
  HMETau2TwoMesonsViaVector       hmeTau2TwoMesonsViaVector;
  HMETau2TwoMesonsViaVectorScalar hmeTau2TwoMesonsViaVectorScalar;
  HMETau2ThreePions               hmeTau2ThreePions;
  HMETau2ThreeMesonsWithKaons     hmeTau2ThreeMesonsWithKaons;
  HMETau2ThreeMesonsGeneric       hmeTau2ThreeMesonsGeneric;
  HMETau2TwoPionsGamma            hmeTau2TwoPionsGamma;
  HMETau2FourPions                hmeTau2FourPions;
  HMETau2FivePions                hmeTau2FivePions;
  HMETau2PhaseSpace               hmeTau2PhaseSpace;

  // Particles of the hard process.
  HelicityParticle in1, in2, mediator, out1, out2;
  vector particles;

  // The info pointer for the Pythia class.
  Info*         infoPtr;

  // Pointer to settings database.
  Settings*     settingsPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Pointer to SM coupling data.
  Couplings*    couplingsPtr;

  // Parameters to determine if correlated partner should decay.
  double tau0Max, tauMax, rMax, xyMax, zMax;
  bool limitTau0, limitTau, limitRadius, limitCylinder, limitDecay;
};

//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_TauDecays_H
pythia8-8.1.86.orig/include/Pythia8/Basics.h0000644000175000017500000004070312357054733016702 0ustar  sunsun// Basics.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for basic, often-used helper classes.
// RndmEngine: base class for external random number generators.
// Rndm: random number generator.
// Vec4: simple four-vectors.
// RotBstMatrix: matrices encoding rotations and boosts of Vec4 objects.
// Hist: simple one-dimensional histograms.

#ifndef Pythia8_Basics_H
#define Pythia8_Basics_H

#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {
 
//==========================================================================

// RndmEngine is the base class for external random number generators.
// There is only one pure virtual method, that should do the generation.

class RndmEngine {

public:

  // Destructor.
  virtual ~RndmEngine() {}

  // A pure virtual method, wherein the derived class method
  // generates a random number uniformly distributed between 1 and 1.
  virtual double flat() = 0;

};

//==========================================================================

// Rndm class.
// This class handles random number generation according to the
// Marsaglia-Zaman-Tsang algorithm.

class Rndm {

public:

  // Constructors.
  Rndm() : initRndm(false), seedSave(0), sequence(0),
    useExternalRndm(false), rndmEngPtr(0) { }
  Rndm(int seedIn) : initRndm(false), seedSave(0), sequence(0),
    useExternalRndm(false), rndmEngPtr(0) { init(seedIn);}

  // Possibility to pass in pointer for external random number generation.
  bool rndmEnginePtr( RndmEngine* rndmEngPtrIn);

  // Initialize, normally at construction or in first call.
  void init(int seedIn = 0) ;

  // Generate next random number uniformly between 0 and 1.
  double flat() ;

  // Generate random numbers according to exp(-x).
  double exp() { return -log(flat()) ;}

  // Generate random numbers according to x * exp(-x).
  double xexp() { return -log(flat() * flat()) ;}

  // Generate random numbers according to exp(-x^2/2).
  double gauss() {return sqrt(-2. * log(flat())) * cos(M_PI * flat());}

  // Generate two random numbers according to exp(-x^2/2-y^2/2).
  pair gauss2() {double r = sqrt(-2. * log(flat()));
    double phi = 2. * M_PI * flat();
    return pair(r * sin(phi), r * cos(phi));}

  // Pick one option among  vector of (positive) probabilities.
  int pick(const vector& prob) ;

  // Save or read current state to or from a binary file.
  bool dumpState(string fileName);
  bool readState(string fileName);

private:

  // Default random number sequence.
  static const int DEFAULTSEED;

  // State of the random number generator.
  bool   initRndm;
  int    i97, j97, seedSave;
  long   sequence;
  double u[97], c, cd, cm;

  // Pointer for external random number generation.
  bool   useExternalRndm;
  RndmEngine* rndmEngPtr;

};

//==========================================================================

// Forward reference to RotBstMatrix class; needed in Vec4 class.
class RotBstMatrix;

//--------------------------------------------------------------------------

// Vec4 class.
// This class implements four-vectors, in energy-momentum space.
// (But can equally well be used to hold space-time four-vectors.)

class Vec4 {

public:

  // Constructors.
  Vec4(double xIn = 0., double yIn = 0., double zIn = 0., double tIn = 0.)
    : xx(xIn), yy(yIn), zz(zIn), tt(tIn) { }
  Vec4(const Vec4& v) : xx(v.xx), yy(v.yy), zz(v.zz), tt(v.tt) { }
  Vec4& operator=(const Vec4& v) { if (this != &v) { xx = v.xx; yy = v.yy;
    zz = v.zz; tt = v.tt; } return *this; }
  Vec4& operator=(double value) { xx = value; yy = value; zz = value;
    tt = value; return *this; }
      
  // Member functions for input.
  void reset() {xx = 0.; yy = 0.; zz = 0.; tt = 0.;}
  void p(double xIn, double yIn, double zIn, double tIn)
    {xx = xIn; yy = yIn; zz = zIn; tt = tIn;}
  void p(Vec4 pIn) {xx = pIn.xx; yy = pIn.yy; zz = pIn.zz; tt = pIn.tt;}
  void px(double xIn) {xx = xIn;}
  void py(double yIn) {yy = yIn;}
  void pz(double zIn) {zz = zIn;}
  void e(double tIn) {tt = tIn;}

  // Member functions for output.
  double px() const {return xx;}
  double py() const {return yy;}
  double pz() const {return zz;}
  double e() const {return tt;}
  double mCalc() const {double temp = tt*tt - xx*xx - yy*yy - zz*zz;
    return (temp >= 0.) ? sqrt(temp) : -sqrt(-temp);}
  double m2Calc() const {return tt*tt - xx*xx - yy*yy - zz*zz;}
  double pT() const {return sqrt(xx*xx + yy*yy);}
  double pT2() const {return xx*xx + yy*yy;}
  double pAbs() const {return sqrt(xx*xx + yy*yy + zz*zz);}
  double pAbs2() const {return xx*xx + yy*yy + zz*zz;}
  double eT() const {double temp = xx*xx + yy*yy;
    return tt * sqrt( temp / (temp + zz*zz) );}
  double eT2() const {double temp = xx*xx + yy*yy;
    return tt*tt * temp / (temp + zz*zz);}
  double theta() const {return atan2(sqrt(xx*xx + yy*yy), zz);}
  double phi() const {return atan2(yy,xx);}
  double thetaXZ() const {return atan2(xx,zz);}
  double pPos() const {return tt + zz;}
  double pNeg() const {return tt - zz;}
  double rap() const {return 0.5 * log( (tt + zz) / (tt - zz) );}
  double eta() const {double xyz = sqrt(xx*xx + yy*yy + zz*zz);
    return 0.5 * log( (xyz + zz) / (xyz - zz) );}

  // Member functions that perform operations.
  void rescale3(double fac) {xx *= fac; yy *= fac; zz *= fac;}
  void rescale4(double fac) {xx *= fac; yy *= fac; zz *= fac; tt *= fac;}
  void flip3() {xx = -xx; yy = -yy; zz = -zz;}
  void flip4() {xx = -xx; yy = -yy; zz = -zz; tt = -tt;}
  void rot(double thetaIn, double phiIn);
  void rotaxis(double phiIn, double nx, double ny, double nz);
  void rotaxis(double phiIn, const Vec4& n);
  void bst(double betaX, double betaY, double betaZ);
  void bst(double betaX, double betaY, double betaZ, double gamma);
  void bst(const Vec4& pIn);
  void bst(const Vec4& pIn, double mIn);
  void bstback(const Vec4& pIn);
  void bstback(const Vec4& pIn, double mIn);
  void rotbst(const RotBstMatrix& M);

  // Operator overloading with member functions
  Vec4 operator-() {Vec4 tmp; tmp.xx = -xx; tmp.yy = -yy; tmp.zz = -zz;
    tmp.tt = -tt; return tmp;}
  Vec4& operator+=(const Vec4& v) {xx += v.xx; yy += v.yy; zz += v.zz;
    tt += v.tt; return *this;}
  Vec4& operator-=(const Vec4& v) {xx -= v.xx; yy -= v.yy; zz -= v.zz;
    tt -= v.tt; return *this;}
  Vec4& operator*=(double f) {xx *= f; yy *= f; zz *= f;
    tt *= f; return *this;}
  Vec4& operator/=(double f) {xx /= f; yy /= f; zz /= f;
    tt /= f; return *this;}

  // Operator overloading with friends
  friend Vec4 operator+(const Vec4& v1, const Vec4& v2);
  friend Vec4 operator-(const Vec4& v1, const Vec4& v2);
  friend Vec4 operator*(double f, const Vec4& v1);
  friend Vec4 operator*(const Vec4& v1, double f);
  friend Vec4 operator/(const Vec4& v1, double f);
  friend double operator*(const Vec4& v1, const Vec4& v2);

  // Invariant mass of a pair and its square.
  friend double m(const Vec4& v1, const Vec4& v2);
  friend double m2(const Vec4& v1, const Vec4& v2);

  // Scalar and cross product of 3-vector parts.
  friend double dot3(const Vec4& v1, const Vec4& v2);
  friend Vec4 cross3(const Vec4& v1, const Vec4& v2);

  // theta is polar angle between v1 and v2.
  friend double theta(const Vec4& v1, const Vec4& v2);
  friend double costheta(const Vec4& v1, const Vec4& v2);

  // phi is azimuthal angle between v1 and v2 around z axis.
  friend double phi(const Vec4& v1, const Vec4& v2);
  friend double cosphi(const Vec4& v1, const Vec4& v2);

  // phi is azimuthal angle between v1 and v2 around n axis.
  friend double phi(const Vec4& v1, const Vec4& v2, const Vec4& n);
  friend double cosphi(const Vec4& v1, const Vec4& v2, const Vec4& n);
 
  // R is distance in cylindrical (y/eta, phi) coordinates.
  friend double RRapPhi(const Vec4& v1, const Vec4& v2);
  friend double REtaPhi(const Vec4& v1, const Vec4& v2);

  // Print a four-vector.
  friend ostream& operator<<(ostream&, const Vec4& v) ;

private:

  // Constants: could only be changed in the code itself.
  static const double TINY;

  // The four-vector data members.
  double xx, yy, zz, tt;

};

//--------------------------------------------------------------------------

// Namespace function declarations; friends of Vec4 class.

// Implementation of operator overloading with friends.

inline Vec4 operator+(const Vec4& v1, const Vec4& v2)
  {Vec4 v = v1 ; return v += v2;}

inline Vec4 operator-(const Vec4& v1, const Vec4& v2)
  {Vec4 v = v1 ; return v -= v2;}

inline Vec4 operator*(double f, const Vec4& v1)
  {Vec4 v = v1; return v *= f;}

inline Vec4 operator*(const Vec4& v1, double f)
  {Vec4 v = v1; return v *= f;}

inline Vec4 operator/(const Vec4& v1, double f)
  {Vec4 v = v1; return v /= f;}

inline double operator*(const Vec4& v1, const Vec4& v2)
  {return v1.tt*v2.tt - v1.xx*v2.xx - v1.yy*v2.yy - v1.zz*v2.zz;}

// Invariant mass of a pair and its square.
double m(const Vec4& v1, const Vec4& v2);
double m2(const Vec4& v1, const Vec4& v2);

// Scalar and cross product of 3-vector parts.
double dot3(const Vec4& v1, const Vec4& v2);
Vec4 cross3(const Vec4& v1, const Vec4& v2);

// theta is polar angle between v1 and v2.
double theta(const Vec4& v1, const Vec4& v2);
double costheta(const Vec4& v1, const Vec4& v2);

// phi is azimuthal angle between v1 and v2 around z axis.
double phi(const Vec4& v1, const Vec4& v2);
double cosphi(const Vec4& v1, const Vec4& v2);

// phi is azimuthal angle between v1 and v2 around n axis.
double phi(const Vec4& v1, const Vec4& v2, const Vec4& n);
double cosphi(const Vec4& v1, const Vec4& v2, const Vec4& n);

// R is distance in cylindrical (y/eta, phi) coordinates.
double RRapPhi(const Vec4& v1, const Vec4& v2);
double REtaPhi(const Vec4& v1, const Vec4& v2);

// Print a four-vector.
ostream& operator<<(ostream&, const Vec4& v) ;

//==========================================================================

// RotBstMatrix class.
// This class implements 4 * 4 matrices that encode an arbitrary combination
// of rotations and boosts, that can be applied to Vec4 four-vectors.

class RotBstMatrix {

public:

  // Constructors.
  RotBstMatrix() {for (int i = 0; i < 4; ++i) { for (int j = 0; j < 4; ++j)
    { M[i][j] = (i==j) ? 1. : 0.; } } }
  RotBstMatrix(const RotBstMatrix& Min) {
    for (int i = 0; i < 4; ++i) { for (int j = 0; j < 4; ++j) {
    M[i][j] = Min.M[i][j]; } } }
  RotBstMatrix& operator=(const RotBstMatrix& Min) {if (this != &Min) {
    for (int i = 0; i < 4; ++i) { for (int j = 0; j < 4; ++j) {
    M[i][j] = Min.M[i][j]; } } } return *this; }

  // Member functions.
  void rot(double = 0., double = 0.);
  void rot(const Vec4& p);
  void bst(double = 0., double = 0., double = 0.);
  void bst(const Vec4&);
  void bstback(const Vec4&);
  void bst(const Vec4&, const Vec4&);
  void toCMframe(const Vec4&, const Vec4&);
  void fromCMframe(const Vec4&, const Vec4&);
  void rotbst(const RotBstMatrix&);
  void invert();
  void reset();

  // Crude estimate deviation from unit matrix.
  double deviation() const;

  // Print a transformation matrix.
  friend ostream& operator<<(ostream&, const RotBstMatrix&) ;

  // Private members to be accessible from Vec4.
  friend class Vec4;

private:

  // Constants: could only be changed in the code itself.
  static const double TINY;

  // The rotation-and-boost matrix data members.
  double M[4][4];

};

//--------------------------------------------------------------------------

// Namespace function declaration; friend of RotBstMatrix class.

// Print a transformation matrix.
ostream& operator<<(ostream&, const RotBstMatrix&) ;

//==========================================================================

// Hist class.
// This class handles a single histogram at a time.

class Hist{

public:

  // Constructors, including copy constructors.
  Hist() {;}
  Hist(string titleIn, int nBinIn = 100, double xMinIn = 0.,
    double xMaxIn = 1.) {
    book(titleIn, nBinIn, xMinIn, xMaxIn);}
  Hist(const Hist& h)
    : title(h.title), nBin(h.nBin), nFill(h.nFill), xMin(h.xMin),
    xMax(h.xMax), dx(h.dx), under(h.under), inside(h.inside),
    over(h.over), res(h.res) { }
  Hist(string titleIn, const Hist& h)
    : title(titleIn), nBin(h.nBin), nFill(h.nFill), xMin(h.xMin),
    xMax(h.xMax), dx(h.dx), under(h.under), inside(h.inside),
    over(h.over), res(h.res) { }
  Hist& operator=(const Hist& h) { if(this != &h) {
    nBin = h.nBin; nFill = h.nFill; xMin = h.xMin; xMax = h.xMax;
    dx = h.dx;  under = h.under; inside = h.inside; over = h.over;
    res = h.res; } return *this; }
  
  // Book a histogram.
  void book(string titleIn = "  ", int nBinIn = 100, double xMinIn = 0.,
    double xMaxIn = 1.) ;
 
  // Set title of a histogram.
  void name(string titleIn = "  ") {title = titleIn; }

  // Reset bin contents.
  void null() ;

  // Fill bin with weight.
  void fill(double x, double w = 1.) ;

  // Print a histogram with overloaded << operator.
  friend ostream& operator<<(ostream& os, const Hist& h) ;

  // Print histogram contents as a table (e.g. for Gnuplot).
  void table(ostream& os = cout, bool printOverUnder = false,
    bool xMidBin = true) const ;
  void table(string fileName, bool printOverUnder = false,
    bool xMidBin = true) const { ofstream streamName(fileName.c_str());
    table(streamName, printOverUnder, xMidBin);}

  // Print a table out of two histograms with same x axis.
  friend void table(const Hist& h1, const Hist& h2, ostream& os,
    bool printOverUnder, bool xMidBin) ;
  friend void table(const Hist& h1, const Hist& h2, string fileName,
    bool printOverUnder, bool xMidBin) ;

  // Return content of specific bin: 0 gives underflow and nBin+1 overflow.
  double getBinContent(int iBin) const;

  // Return number of entries.
  int getEntries() const {return nFill; }

  // Check whether another histogram has same size and limits.
  bool sameSize(const Hist& h) const ;

  // Take logarithm (base 10 or e) of bin contents.
  void takeLog(bool tenLog = true) ;

  // Take square root of bin contents.
  void takeSqrt() ;

  // Operator overloading with member functions
  Hist& operator+=(const Hist& h) ;
  Hist& operator-=(const Hist& h) ;
  Hist& operator*=(const Hist& h) ;
  Hist& operator/=(const Hist& h) ;
  Hist& operator+=(double f) ;
  Hist& operator-=(double f) ;
  Hist& operator*=(double f) ;
  Hist& operator/=(double f) ;

  // Operator overloading with friends
  friend Hist operator+(double f, const Hist& h1);
  friend Hist operator+(const Hist& h1, double f);
  friend Hist operator+(const Hist& h1, const Hist& h2);
  friend Hist operator-(double f, const Hist& h1);
  friend Hist operator-(const Hist& h1, double f);
  friend Hist operator-(const Hist& h1, const Hist& h2);
  friend Hist operator*(double f, const Hist& h1);
  friend Hist operator*(const Hist& h1, double f);
  friend Hist operator*(const Hist& h1, const Hist& h2);
  friend Hist operator/(double f, const Hist& h1);
  friend Hist operator/(const Hist& h1, double f);
  friend Hist operator/(const Hist& h1, const Hist& h2);

private:

  // Constants: could only be changed in the code itself.
  static const int    NBINMAX, NCOLMAX, NLINES;
  static const double TOLERANCE, TINY, LARGE, SMALLFRAC, DYAC[];
  static const char   NUMBER[];

  // Properties and contents of a histogram.
  string title;
  int    nBin, nFill;
  double xMin, xMax, dx, under, inside, over;
  vector res;

};

//--------------------------------------------------------------------------

// Namespace function declarations; friends of Hist class.

// Print a histogram with overloaded << operator.
ostream& operator<<(ostream& os, const Hist& h) ;

// Print a table out of two histograms with same x axis.
void table(const Hist& h1, const Hist& h2, ostream& os = cout,
  bool printOverUnder = false, bool xMidBin = true) ;
void table(const Hist& h1, const Hist& h2, string fileName,
  bool printOverUnder = false, bool xMidBin = true) ;

// Operator overloading with friends
Hist operator+(double f, const Hist& h1);
Hist operator+(const Hist& h1, double f);
Hist operator+(const Hist& h1, const Hist& h2);
Hist operator-(double f, const Hist& h1);
Hist operator-(const Hist& h1, double f);
Hist operator-(const Hist& h1, const Hist& h2);
Hist operator*(double f, const Hist& h1);
Hist operator*(const Hist& h1, double f);
Hist operator*(const Hist& h1, const Hist& h2);
Hist operator/(double f, const Hist& h1);
Hist operator/(const Hist& h1, double f);
Hist operator/(const Hist& h1, const Hist& h2);

//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_Basics_H
pythia8-8.1.86.orig/include/Pythia8/RHadrons.h0000644000175000017500000001001212357054743017205 0ustar  sunsun// RHadrons.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains a class for the production and decay
// of long-lived heavy coloured particles, for now the gluino.

#ifndef Pythia8_RHadrons_H
#define Pythia8_RHadrons_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/FragmentationSystems.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {
 
//==========================================================================

// The RHadrons class contains the routines for the production and decay
// of long-lived heavy coloured particles.

class RHadrons {

public:

  // Constructor.
  RHadrons() : nRHad(0) {}
 
  // Initialization of R-hadron handling.
  bool init( Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn);

  // Pointers to flavours and z sent from HadronLevel.
  void fragPtrs( StringFlav* flavSelPtrIn, StringZ* zSelPtrIn)
    { flavSelPtr = flavSelPtrIn; zSelPtr = zSelPtrIn;}

  // Produce R-hadrons.
  bool produce( ColConfig& colConfig, Event& event);

  // Decay R-hadrons.
  bool decay( Event& event);

  // Tell whether a given particle is supposed to form R-hadrons.
  bool givesRHadron(int id);

  // Tell whether any R-hadrons have been formed.
  bool exist() {return (nRHad > 0);}

  // Tell whether a R-hadron production+decay happened, and trace down.
  int trace(int i) { for (int iR = 0; iR < nRHad; ++iR)
    if (iBefRHad[iR] == i || iCreRHad[iR] == i) return iAftRHad[iR];
    return 0;}

private:

  // Constants: could only be changed in the code itself.
  static const int    IDRHADSB[14], IDRHADST[14], IDRHADGO[38], NTRYMAX;
  static const double MSAFETY, EGBORROWMAX;

  // Initialization data, mainly read from Settings.
  bool   allowRH, allowRSb, allowRSt, allowRGo, allowSomeR, setMassesRH;
  int    idRSb, idRSt, idRGo;
  double maxWidthRH, probGluinoballRH, mOffsetCloudRH, mCollapseRH,
         diquarkSpin1RH, m0Sb, m0St, m0Go;

  // Current event properties.
  vector  iBefRHad, iCreRHad, iRHadron, iAftRHad;
  vector isTriplet;
  int          nRHad, iRHad, iBef, iSys;
  ColSinglet*  systemPtr;

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointers to classes for flavour and z generation.
  StringFlav*    flavSelPtr;
  StringZ*       zSelPtr;

  // Split a system that contains both a sparticle and a junction.
  bool splitOffJunction( ColConfig& colConfig, Event& event);

  // Open up a closed gluon/gluino loop.
  bool openClosedLoop( ColConfig& colConfig, Event& event);

  // Split a single colour singlet that contains two sparticles.
  bool splitSystem( ColConfig& colConfig, Event& event);

  // Produce a R-hadron from a squark.
  bool produceSquark( ColConfig& colConfig, Event& event);

  // Produce a R-hadron from a gluino.
  bool produceGluino( ColConfig& colConfig, Event& event);

  // Construct R-hadron code from squark and (di)quark codes.
  int toIdWithSquark( int id1, int id2);

  // Construct squark and (di)quark codes from R-hadron code.
  pair fromIdWithSquark( int idRHad);

  // Construct R-hadron code from endpoints and a gluino.
  int toIdWithGluino( int id1, int id2);

  // Construct endpoint codes from R-hadron code with a gluino.
  pair fromIdWithGluino( int idRHad);

  // Construct modified four-vectors to match modified masses.
  bool newKin( Vec4 pOld1, Vec4 pOld2, double mNew1, double mNew2,
    Vec4& pNew1, Vec4& pNew2, bool checkMargin = true);
  
};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_RHadrons_H
pythia8-8.1.86.orig/include/Pythia8/FastJet3.h0000644000175000017500000001777612357054733017137 0ustar  sunsun// FastJet3.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This header file written by Gavin Salam.

#ifndef Pythia8_FastJet3_H
#define Pythia8_FastJet3_H

//----------------------------------------------------------------------
/// \file FastJet3Pythia8.hh
///
/// Code providing an interface for FastJet 3 to make use of Pythia8
/// particles and momenta. Given a
///
/// \code
///   Pythia8::Particle  py8_particle;
/// \endcode
///
/// you may write
///
/// \code
///   fastjet::PseudoJet fj_particle = py8_particle;
/// \endcode
///
/// A copy of the Pythia8::Particle can then be accessed as
///
/// \code
///   fj_particle.user_info()
/// \endcode
///
/// so that one can obtain information about the particle such as
///
/// \code
///   fj_particle.user_info().status();
///   fj_particle.user_info().charge();
/// \endcode
///
/// etc. Note that because the construction of a PseudoJet from the
/// Pythia8 particle involves taking a copy of the whole particle
/// (which has a number of member variables), there will be a small
/// time penalty at that point.
///
/// This file also defines a number of selectors that act on such
/// PseudoJets, such as
///
/// \code
///   SelectorIsCharged();
///   SelectorId(int id);
/// \endcode
///
/// so that one can for example write
///
/// \code
///   vector charged_constituents
///     = SelectorIsCharged()(jet.constituents());
/// \endcode
///
/// The full list of Pythia8-specific selectors is to be found at the
/// end of this file. They can be combined with each other and with
/// FastJet selectors using standard boolean operators.  They are all
/// in the fastjet namespace.
///
/// If you do not need the above facilities, then you may instead
/// construct the PseudoJet from the pythia8 particle's 4-vector
///
/// \code
///   PseudoJet fj_particle = py8_particle.p();
/// \endcode
///
/// NB: this code is entirely given as an include file. If compilation
/// time is critical for your application, you may wish to split it
/// into separate .cc and .hh files.
///
// ----------------------------------------------------------------------
// Copyright 2011 by Matteo Cacciari, Gavin Salam and Gregory
// Soyez. Permission is granted to redistribute this file and modify
// it, as long as this notice is retained and any changes are clearly
// marked. No warranties are provided!
// ----------------------------------------------------------------------

#include "fastjet/config.h"             // will allow a test for FJ3
#include "fastjet/ClusterSequence.hh"   // also gives PseudoJet & JetDefinition
#include "fastjet/Selector.hh"
#include "Event.h"                      // this is what we need from Pythia8

// FASTJET_VERSION is only defined from version 3 onwards so we can
// use it to test that we have a sufficiently recent version
#ifndef FASTJET_VERSION
#error "FastJet3 is required in order to obtain the features of this interface"
#endif

FASTJET_BEGIN_NAMESPACE // place the code here inside the FJ namespace

/// \class Py8Particle
///
/// A class derived from a pythia 8 particle and that also derives
/// from PseudoJet::UserInfoBase, so that it can be used as UserInfo
/// inside PseudoJets, but also be cast back to the Pythia8 particle
class Py8Particle: public Pythia8::Particle,
                   public PseudoJet::UserInfoBase {
public:
  Py8Particle(const Pythia8::Particle & particle) : Particle(particle) {}
};

/// specialization of the PseudoJet constructor so that it can take a
/// pythia8 particle (and makes a copy of it as user info);
template<>
inline PseudoJet::PseudoJet(const Pythia8::Particle & particle) {
  reset(particle.px(),particle.py(),particle.pz(), particle.e());
  set_user_info(new Py8Particle(particle));
}

/// specialization of the PseudoJet constructor so that it can take a
/// pythia8 Vec4. There is then no particular user info available.
template<>
inline PseudoJet::PseudoJet(const Pythia8::Vec4 & particle) {
  reset(particle.px(),particle.py(),particle.pz(), particle.e());
}


/// \class SelectorWorkerPy8
///
/// A template class to help with the creation of Selectors for Pythia
/// particle properties. It's not necessary to understand how this
/// works in order to use the selectors. See below for the actual list
/// of selectors.
///
/// (But if you're curious, essentially it stores a pointer to a
/// member function of Pythia8::Particle, and when called to select
/// particles, executes it and checks the return value is equal to
/// that requested in the constructor).
template class SelectorWorkerPy8 : public SelectorWorker {
public:
  /// the typedef helps with the notation for member function pointers
  typedef  T (Pythia8::Particle::*Py8ParticleFnPtr)() const;
  
  /// c'tor, which takes the member fn pointer and the return value
  /// that it should be equal to
  SelectorWorkerPy8(Py8ParticleFnPtr member_fn_ptr, T value) :
    _member_fn_ptr(member_fn_ptr), _value(value) {};

  /// the one function from SelectorWorker that must be overloaded to
  /// get functioning selection. It makes sure that the PseudoJet
  /// actually has Pythia8::Particle user info before checking
  /// its value.
  bool pass(const PseudoJet & p) const {
    const Pythia8::Particle * py8_particle
      = dynamic_cast(p.user_info_ptr());
    if (py8_particle == 0) {
      return false; // no info, so false
    } else {
      return (py8_particle->*_member_fn_ptr)() == _value;
    }
  }
private:
  Py8ParticleFnPtr _member_fn_ptr;
  T _value;
};

/// @name Boolean FJ3/PY8 Selectors
///
/// A series of selectors for boolean properties of PseudoJets with
/// Pythia8::Particle information; PseudoJets without
/// Pythia8::Particle structure never pass these selectors.
///
///\{
inline Selector SelectorIsFinal    () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isFinal   , true));}
inline Selector SelectorIsCharged  () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isCharged , true));}
inline Selector SelectorIsNeutral  () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isNeutral , true));}
inline Selector SelectorIsResonance() {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isResonance,true));}
inline Selector SelectorIsVisible  () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isVisible , true));}
inline Selector SelectorIsLepton   () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isLepton  , true));}
inline Selector SelectorIsQuark    () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isQuark   , true));}
inline Selector SelectorIsGluon    () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isGluon   , true));}
inline Selector SelectorIsDiquark  () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isDiquark , true));}
inline Selector SelectorIsParton   () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isParton  , true));}
inline Selector SelectorIsHadron   () {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::isHadron  , true));}
///\}

/// @name Integer FJ3/PY8 Selectors
///
/// A series of selectors for integer properties of PseudoJets with
/// Pythia8::Particle information; PseudoJets without
/// Pythia8::Particle structure never pass these selectors.
///
///\{
inline Selector SelectorId       (int i) {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::id       , i));}
inline Selector SelectorIdAbs    (int i) {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::idAbs    , i));}
inline Selector SelectorStatus   (int i) {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::status   , i));}
inline Selector SelectorStatusAbs(int i) {return
  Selector(new SelectorWorkerPy8(&Pythia8::Particle::statusAbs, i));}
///\}
  

FASTJET_END_NAMESPACE

#endif // Pythia8_FastJet3_H
pythia8-8.1.86.orig/include/Pythia8/PartonDistributions.h0000644000175000017500000003742212357054734021531 0ustar  sunsun// PartonDistributions.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for parton densities.
// PDF: base class.
// LHAPDF: derived class for interface to the LHAPDF library.
// GRV94L: derived class for the GRV 94L parton densities.
// CTEQ5L: derived class for the CTEQ 5L parton densities.
// MSTWpdf: derived class for MRST LO*, LO**, MSTW 2008 LO, NLO.
// CTEQ6pdf: derived class for CTEQ 6L, 6L1, 66, CT09 MC1, MC2, (MCS?).
// ProtonPoint: unresolved proton with equivalent photon spectrum.
// GRVpiL: derived class for the GRV LO pion parton densities.
// PomFix: derived class for Q2-independent Pomeron parton densities.
// PomH1FitAB: derived class for the H1 2006 Fit A and Fit B Pomeron PDFs.
// PomH1Jets: derived class for the H1 2007 Jets Pomeron PDFs.
// Lepton: derived class for parton densities inside a lepton.
// LeptonPoint: derived class for unresolved lepton (mainly dummy).
// NNPDF: derived class for the NNPDF2.3 QCD+QED PDF sets.

#ifndef Pythia8_PartonDistributions_H
#define Pythia8_PartonDistributions_H

#include "Pythia8/Basics.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================

// Base class for parton distribution functions.

class PDF {

public:

  // Constructor.
  PDF(int idBeamIn = 2212) {idBeam = idBeamIn; idBeamAbs = abs(idBeam);
    setValenceContent(); idSav = 9; xSav = -1.; Q2Sav = -1.;
    xu = 0.; xd = 0.; xs = 0.; xubar = 0.; xdbar = 0.; xsbar = 0.; xc = 0.;
    xb = 0.; xg = 0.; xlepton = 0.; xgamma = 0.; xuVal = 0.; xuSea = 0.;
    xdVal = 0.; xdSea = 0.; isSet = true; isInit = false;}

  // Destructor.
  virtual ~PDF() {}

  // Confirm that PDF has been set up (important for LHAPDF and H1 Pomeron).
  bool isSetup() {return isSet;}

  // Dynamic choice of meson valence flavours for pi0, K0S, K0L, Pomeron.
  void newValenceContent(int idVal1In, int idVal2In) {
    idVal1 = idVal1In; idVal2 = idVal2In;}

  // Allow extrapolation beyond boundaries. This is optional.
  virtual void setExtrapolate(bool) {}

  // Read out parton density
  double xf(int id, double x, double Q2);

  // Read out valence and sea part of parton densities.
  double xfVal(int id, double x, double Q2);
  double xfSea(int id, double x, double Q2);
  
protected:

  // Store relevant quantities.
  int    idBeam, idBeamAbs, idSav, idVal1, idVal2;
  double xSav, Q2Sav;
  double xu, xd, xs, xubar, xdbar, xsbar, xc, xb, xg, xlepton, xgamma,
         xuVal, xuSea, xdVal, xdSea;
  bool   isSet, isInit;

  // Resolve valence content for assumed meson. Possibly modified later.
  void setValenceContent();

  // Update parton densities.
  virtual void xfUpdate(int id, double x, double Q2) = 0;

};
 
//==========================================================================

// Provide interface to the LHAPDF library of parton densities.

class LHAPDF : public PDF {

public:

  // Constructor.
  LHAPDF(int idBeamIn, string setName, int member,  int nSetIn = 1,
    Info* infoPtr = 0) : PDF(idBeamIn), nSet(nSetIn)
    {init( setName, member, infoPtr);}

  // Allow extrapolation beyond boundaries. This is optional.
  void setExtrapolate(bool extrapol);
 
  // Find out the nSet number corresponding to a name and member.
  // Returns -1 if no such LHAPDF set has been initialized.
  static int findNSet(string setName, int member);
  
  // Return the lowest non-occupied nSet number.
  static int freeNSet();
   
private:

  // Initialization of PDF set.
  void init(string setName, int member, Info* infoPtr);

  // Update all PDF values.
  void xfUpdate(int , double x, double Q2);

  // Current set and pdf values.
  int    nSet;
  double xfArray[13];
  bool   hasPhoton;
  double xPhoton;

  // Keep track of what sets have been initialized in LHAPDFInterface.
  // The key is the nSet index, the value is a pair (name, member number).
  static map< int, pair > initializedSets;

};
 
//==========================================================================

// Gives the GRV 94L (leading order) parton distribution function set
// in parametrized form. Authors: M. Glueck, E. Reya and A. Vogt.

class GRV94L : public PDF {

public:

  // Constructor.
  GRV94L(int idBeamIn = 2212) : PDF(idBeamIn) {}

private:

  // Update PDF values.
  void xfUpdate(int , double x, double Q2);

  // Auxiliary routines used during the updating.
  double grvv (double x, double n, double ak, double bk, double a,
    double b, double c, double d);
  double grvw (double x, double s, double al, double be, double ak,
    double bk, double a, double b, double c, double d, double e, double es);
  double grvs (double x, double s, double sth, double al, double be,
    double ak, double ag, double b, double d, double e, double es);

};
 
//==========================================================================

// Gives the CTEQ 5L (leading order) parton distribution function set
// in parametrized form. Parametrization by J. Pumplin. Authors: CTEQ.

class CTEQ5L : public PDF {

public:

  // Constructor.
  CTEQ5L(int idBeamIn = 2212) : PDF(idBeamIn) {}

private:

  // Update PDF values.
  void xfUpdate(int , double x, double Q2);

};
 
//==========================================================================

// The MSTWpdf class.
// MRST LO*(*) and MSTW 2008 PDF's, specifically the LO one.
// Original C++ version by Jeppe Andersen.
// Modified by Graeme Watt .
// Sets available:
// iFit = 1 : MRST LO*  (2007).
// iFit = 2 : MRST LO** (2008).
// iFit = 3 : MSTW 2008 LO, central member.
// iFit = 4 : MSTW 2008 NLO, central member. (Warning!)

class MSTWpdf : public PDF {

public:

  // Constructor.
  MSTWpdf(int idBeamIn = 2212, int iFitIn = 1, string xmlPath = "../xmldoc/",
    Info* infoPtr = 0) : PDF(idBeamIn) {init( iFitIn,  xmlPath, infoPtr);}

private:

  // Constants: could only be changed in the code itself.
  static const int    np, nx, nq, nqc0, nqb0;
  static const double xmin, xmax, qsqmin, qsqmax, xxInit[65], qqInit[49];

  // Data read in from grid file or set at initialization.
  int    iFit, alphaSorder, alphaSnfmax;
  double mCharm, mBottom, alphaSQ0, alphaSMZ, distance, tolerance,
         xx[65], qq[49], c[13][64][48][5][5];

  // Initialization of data array.
  void init( int iFitIn, string xmlPath, Info* infoPtr);

  // Update PDF values.
  void xfUpdate(int , double x, double Q2);

  // Evaluate PDF of one flavour species.
  double parton(int flavour,double x,double q);
  double parton_interpolate(int flavour,double xxx,double qqq);
  double parton_extrapolate(int flavour,double xxx,double qqq);

  // Auxiliary routines for evaluation.
  int locate(double xx[],int n,double x);
  double polderivative1(double x1, double x2, double x3, double y1,
    double y2, double y3);
  double polderivative2(double x1, double x2, double x3, double y1,
    double y2, double y3);
  double polderivative3(double x1, double x2, double x3, double y1,
    double y2, double y3);

};
 
//==========================================================================

// The CTEQ6pdf class.
// Sets available:
// iFit = 1 : CTEQ6L
// iFit = 2 : CTEQ6L1
// iFit = 3 : CTEQ66.00 (NLO, central member)
// iFit = 4 : CT09MC1
// iFit = 5 : CT09MC2
// iFit = 6 : CT09MCS (not yet implemented)

class CTEQ6pdf : public PDF {

public:

  // Constructor.
  CTEQ6pdf(int idBeamIn = 2212, int iFitIn = 1, string xmlPath = "../xmldoc/",
    Info* infoPtr = 0) : PDF(idBeamIn) {init( iFitIn, xmlPath, infoPtr);}

private:

  // Constants: could only be changed in the code itself.
  static const double EPSILON, XPOWER;

  // Data read in from grid file or set at initialization.
  int    iFit, order, nQuark, nfMx, mxVal, nX, nT, nG,
         iGridX, iGridQ, iGridLX, iGridLQ;
  double lambda, mQ[7], qIni, qMax, tv[26], xMin, xv[202], upd[57773],
         xvpow[202], xMinEps, xMaxEps, qMinEps, qMaxEps, fVec[5],
         tConst[9], xConst[9], xLast, qLast;

  // Initialization of data array.
  void init( int iFitIn, string xmlPath, Info* infoPtr);

  // Update PDF values.
  void xfUpdate(int id, double x, double Q2);

  // Evaluate PDF of one flavour species.
  double parton6(int iParton, double x, double q);

  // Interpolation in grid.
  double polint4F(double xgrid[], double fgrid[], double xin);

};

//==========================================================================

// SA Unresolved proton: equivalent photon spectrum from
// V.M. Budnev, I.F. Ginzburg, G.V. Meledin and V.G. Serbo,
// Phys. Rept. 15 (1974/1975) 181.

class ProtonPoint : public PDF {

public:

  // Constructor.
  ProtonPoint(int idBeamIn = 2212, Info* infoPtrIn = 0) :
              PDF(idBeamIn), m_infoPtr(infoPtrIn) {}

private:

  // Stored value for PDF choice.
  static const double ALPHAEM, Q2MAX, Q20, A, B, C;

  // Update PDF values.
  void xfUpdate(int , double x, double Q2);

  // phi function from Q2 integration.
  double phiFunc(double x, double Q);

  // Info and errors
  Info* m_infoPtr;

};
 
//==========================================================================

// Gives the GRV 1992 pi+ (leading order) parton distribution function set
// in parametrized form. Authors: Glueck, Reya and Vogt.

class GRVpiL : public PDF {

public:

  // Constructor.
  GRVpiL(int idBeamIn = 221) : PDF(idBeamIn) {}

private:

  // Update PDF values.
  void xfUpdate(int , double x, double Q2);

};

//==========================================================================

// Gives generic Q2-independent Pomeron PDF.

class PomFix : public PDF {

public:

  // Constructor.
  PomFix(int idBeamIn = 990, double PomGluonAIn = 0.,
    double PomGluonBIn = 0., double PomQuarkAIn = 0.,
    double PomQuarkBIn = 0., double PomQuarkFracIn = 0.,
    double PomStrangeSuppIn = 0.) : PDF(idBeamIn),
    PomGluonA(PomGluonAIn), PomGluonB(PomGluonBIn),
    PomQuarkA(PomQuarkAIn), PomQuarkB(PomQuarkBIn),
    PomQuarkFrac(PomQuarkFracIn), PomStrangeSupp(PomStrangeSuppIn)
    {init();}

private:

  // Stored value for PDF choice.
  double PomGluonA, PomGluonB, PomQuarkA, PomQuarkB, PomQuarkFrac,
         PomStrangeSupp, normGluon, normQuark;

  // Initialization of some constants.
  void init();

  // Update PDF values.
  void xfUpdate(int , double x, double);

};
 
//==========================================================================

// The H1 2006 Fit A and Fit B Pomeron parametrization.
// H1 Collaboration, A. Aktas et al., "Measurement and QCD Analysis of
// the Diffractive Deep-Inelastic Scattering Cross Section at HERA",
// DESY-06-049, Eur. Phys. J. C48 (2006) 715. e-Print: hep-ex/0606004.

class PomH1FitAB : public PDF {

public:

  // Constructor.
 PomH1FitAB(int idBeamIn = 990, int iFit = 1, double rescaleIn = 1.,
   string xmlPath = "../xmldoc/", Info* infoPtr = 0) : PDF(idBeamIn)
   {rescale = rescaleIn; init( iFit, xmlPath, infoPtr);}

private:

  // Limits for grid in x, in Q2, and data in (x, Q2).
  int    nx, nQ2;
  double rescale, xlow, xupp, dx, Q2low, Q2upp, dQ2;
  double gluonGrid[100][30];
  double quarkGrid[100][30];

  // Initialization of data array.
  void init( int iFit, string xmlPath, Info* infoPtr);

  // Update PDF values.
  void xfUpdate(int , double x, double );

};
 
//==========================================================================

// The H1 2007 Jets Pomeron parametrization..
// H1 Collaboration, A. Aktas et al., "Dijet Cross Sections and Parton
// Densities in Diffractive DIS at HERA", DESY-07-115, Aug 2007. 33pp.
// Published in JHEP 0710:042,2007. e-Print: arXiv:0708.3217 [hep-ex]

class PomH1Jets : public PDF {

public:

  // Constructor.
  PomH1Jets(int idBeamIn = 990,  double rescaleIn = 1.,
   string xmlPath = "../xmldoc/", Info* infoPtr = 0) : PDF(idBeamIn)
   {rescale = rescaleIn; init( xmlPath, infoPtr);}

private:

  // Arrays for grid in x, in Q2, and data in (x, Q2).
  double rescale;
  double xGrid[100];
  double Q2Grid[88];
  double gluonGrid[100][88];
  double singletGrid[100][88];
  double charmGrid[100][88];

  // Initialization of data array.
  void init( string xmlPath, Info* infoPtr);

  // Update PDF values.
  void xfUpdate(int id, double x, double );

};
 
//==========================================================================

// Gives electron (or muon, or tau) parton distribution.
 
class Lepton : public PDF {

public:

  // Constructor.
  Lepton(int idBeamIn = 11) : PDF(idBeamIn) {}

private:

  // Constants: could only be changed in the code itself.
  static const double ALPHAEM, ME, MMU, MTAU;

  // Update PDF values.
  void xfUpdate(int id, double x, double Q2);

  // The squared lepton mass, set at initialization.
  double m2Lep;

};
 
//==========================================================================

// Gives electron (or other lepton) parton distribution when unresolved.
 
class LeptonPoint : public PDF {

public:

  // Constructor.
  LeptonPoint(int idBeamIn = 11) : PDF(idBeamIn) {}

private:

  // Update PDF values in trivial way.
  void xfUpdate(int , double , double ) {xlepton = 1; xgamma = 0.;}

};
 
//==========================================================================

// Gives neutrino parton distribution when unresolved (only choice for now).
// Note factor of 2 since only lefthanded implies no spin averaging.
 
class NeutrinoPoint : public PDF {

public:

  // Constructor.
  NeutrinoPoint(int idBeamIn = 12) : PDF(idBeamIn) {}

private:

  // Update PDF values, with spin factor of 2.
  void xfUpdate(int , double , double ) {xlepton = 2; xgamma = 0.;}

};
 
//==========================================================================

// The NNPDF class.
// Sets available:
// Leading order QCD+QED Proton PDF sets
// iFit = 1 : NNPDF2.3 QCD+QED LO, alphas(MZ) = 0.130
// iFit = 2 : NNPDF2.3 QCD+QED LO, alphas(MZ) = 0.119
// (Next-to-)Next-to-Leading order QCD+QED Proton PDF sets
// iFit = 3 : NNPDF2.3 QCD+QED NLO, alphas(MZ) = 0.119
// iFit = 4 : NNPDF2.3 QCD+QED NNLO, alphas(MZ) = 0.119
// Code provided by Juan Rojo and Stefano Carrazza.

class NNPDF : public PDF {

public:

  // Constructor.
  NNPDF(int idBeamIn = 2212, int iFitIn = 1, string xmlPath = "../xmldoc/",
    Info* infoPtr = 0) : PDF(idBeamIn), fPDFGrid(NULL), fXGrid(NULL),
    fLogXGrid(NULL), fQ2Grid(NULL), fLogQ2Grid(NULL), fRes(NULL) {
      init( iFitIn, xmlPath, infoPtr); };
 
  // Destructor.
  ~NNPDF() {
    if (fPDFGrid) {
      for (int i = 0; i < fNFL; i++) {
        for (int j = 0; j < fNX; j++)
          if (fPDFGrid[i][j]) delete[] fPDFGrid[i][j];
        if (fPDFGrid[i]) delete[] fPDFGrid[i];
      }
      delete[] fPDFGrid;
    }
    if (fXGrid) delete[] fXGrid;
    if (fLogXGrid) delete[] fLogXGrid;
    if (fQ2Grid) delete[] fQ2Grid;
    if (fLogQ2Grid) delete[] fLogQ2Grid;
    if (fRes) delete[] fRes;
  };

private:

  // Constants: could only be changed in the code itself.
  static const double fXMINGRID;
 
  // Number of flavors (including photon) and interpolation parameters.
  static const int fNFL = 14;
  static const int fM = 4;
  static const int fN = 2;
  
  // Variables to be set during code initialization.
  int iFit, fNX, fNQ2;
  double ***fPDFGrid;
  double *fXGrid;
  double *fLogXGrid;
  double *fQ2Grid;
  double *fLogQ2Grid;
  double *fRes;
  
  // Initialization of data array.
  void init( int iFitIn, string xmlPath, Info* infoPtr);

  // Update PDF values.
  void xfUpdate(int id, double x, double Q2);

  // Interpolation in the grid for a given PDF flavour.
  void xfxevolve(double x, double Q2);
 
  // 1D and 2D polynomial interpolation.
  void polint(double xa[], double ya[], int n, double x,
    double& y, double& dy);
  void polin2(double x1a[], double x2a[], double ya[][fN],
    double x1, double x2, double& y, double& dy);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_PartonDistributions_H
pythia8-8.1.86.orig/include/Pythia8/Pythia8ToHepMC.h0000644000175000017500000000630012357054735020201 0ustar  sunsun// Pythia8ToHepMC.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Author: Mikhail Kirsanov, Mikhail.Kirsanov@cern.ch
// Header file for the Pythia8ToHepMC class,
// which converts a PYTHIA event record to the standard HepMC format.

#ifndef Pythia8_Pythia8ToHepMC_H
#define Pythia8_Pythia8ToHepMC_H

#include 
#include "HepMC/IO_BaseClass.h"
#include "Pythia8/Pythia.h"

namespace HepMC {

// Forward references to some classes.
class GenEvent;
class GenVertex;
class GenParticle;

//==========================================================================

// The Pythia8ToHepMC class.

class Pythia8ToHepMC : public IO_BaseClass {

public:

  // Constructor and destructor.
  Pythia8ToHepMC() : m_internal_event_number(0),
    m_print_inconsistency(true), m_free_parton_warnings(true),
    m_crash_on_problem(false),   m_convert_gluon_to_0(false),
    m_store_pdf(true), m_store_proc(true), m_store_xsec(true) {;}
  virtual ~Pythia8ToHepMC() {;}

  // The recommended method to convert Pythia events into HepMC ones.
  bool fill_next_event( Pythia8::Pythia& pythia, GenEvent* evt,
    int ievnum = -1 ) {return fill_next_event( pythia.event, evt,
    ievnum, &pythia.info, &pythia.settings);}

  // Alternative method to convert Pythia events into HepMC ones.
  bool fill_next_event( Pythia8::Event& pyev, GenEvent* evt,
    int ievnum = -1, Pythia8::Info* pyinfo = 0,
    Pythia8::Settings* pyset = 0);

  // Read out values for some switches.
  bool print_inconsistency()  const {return m_print_inconsistency;}
  bool free_parton_warnings() const {return m_free_parton_warnings;}
  bool crash_on_problem()     const {return m_crash_on_problem;}
  bool convert_gluon_to_0()   const {return m_convert_gluon_to_0;}
  bool store_pdf()            const {return m_store_pdf;}
  bool store_proc()           const {return m_store_proc;}
  bool store_xsec()           const {return m_store_xsec;}

  // Set values for some switches.
  void set_print_inconsistency(bool b = true)  {m_print_inconsistency = b;}
  void set_free_parton_warnings(bool b = true) {m_free_parton_warnings = b;}
  void set_crash_on_problem(bool b = false)    {m_crash_on_problem = b;}
  void set_convert_gluon_to_0(bool b = false)  {m_convert_gluon_to_0 = b;}
  void set_store_pdf(bool b = true)            {m_store_pdf = b;}
  void set_store_proc(bool b = true)           {m_store_proc = b;}
  void set_store_xsec(bool b = true)           {m_store_xsec = b;}

private:

  // Following methods are not implemented for this class.
  virtual bool fill_next_event( GenEvent*  ) { return 0; }
  virtual void write_event( const GenEvent* ) {;}

  // Use of copy constructor is not allowed.
  Pythia8ToHepMC( const Pythia8ToHepMC& ) : IO_BaseClass() {;}

  // Data members.
  int  m_internal_event_number;
  bool m_print_inconsistency, m_free_parton_warnings,
       m_crash_on_problem, m_convert_gluon_to_0,
       m_store_pdf, m_store_proc, m_store_xsec;

};

//==========================================================================

} // end namespace HepMC

#endif  // end Pythia8_Pythia8ToHepMC_H
pythia8-8.1.86.orig/include/Pythia8/SigmaLeftRightSym.h0000644000175000017500000001712112357054743021037 0ustar  sunsun// SigmaLeftRightSym.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for left-rights-symmetry differential cross sections.
// Contains classes derived from SigmaProcess via Sigma(1/2/3)Process.

#ifndef Pythia8_SigmaLeftRightSym_H
#define Pythia8_SigmaLeftRightSym_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A derived class for f fbar -> Z_R^0 (righthanded gauge boson).

class Sigma1ffbar2ZRight : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2ZRight() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for G* decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar -> Z_R^0";}
  virtual int    code()       const {return 3101;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    resonanceA() const {return idZR;}

private:

  // Parameters set at initialization or for current kinematics.
  int    idZR;
  double mRes, GammaRes, m2Res, GamMRat, sin2tW, sigma0;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* ZRPtr;

};
 
//==========================================================================

// A derived class for f fbar' -> W_R^+- (righthanded gauge boson).

class Sigma1ffbar2WRight : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2WRight() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar' -> W_R^+-";}
  virtual int    code()       const {return 3102;}
  virtual string inFlux()     const {return "ffbarChg";}
  virtual int    resonanceA() const {return idWR;}

private:

  // Parameters set at initialization.
  int    idWR;
  double mRes, GammaRes, m2Res, GamMRat, thetaWRat, sigma0Pos, sigma0Neg;

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
 
//==========================================================================

// A derived class for l l -> H_L^++-- or H_R^++-- (doubly charged Higgs).

class Sigma1ll2Hchgchg : public Sigma1Process {

public:

  // Constructor.
  Sigma1ll2Hchgchg(int leftRightIn ) : leftRight(leftRightIn) {}

  // Initialize process.
  virtual void initProc();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ff";}
  virtual int    resonanceA() const {return idHLR;}

private:

  // Parameters set at initialization.
  int    leftRight, idHLR, codeSave;
  string nameSave;
  double mRes, GammaRes, m2Res, GamMRat, yukawa[4][4];

  // Pointer to properties of the particle species, to access decay channels.
  ParticleDataEntry* particlePtr;

};
 
//==========================================================================

// A derived class for l- gamma -> H_(L/R)^-- l+  (doubly charged Higgs).

class Sigma2lgm2Hchgchgl : public Sigma2Process {

public:

  // Constructor.
  Sigma2lgm2Hchgchgl(int leftRightIn, int idLepIn ) : leftRight(leftRightIn),
    idLep(idLepIn) {}

  // Initialize process.
  virtual void initProc();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "fgm";}
  virtual int    resonanceA() const {return idHLR;}

private:

  // Parameters set at initialization.
  int    leftRight, idHLR, idLep, codeSave;
  string nameSave;
  double yukawa[4], openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f_1 f_2 -> H_(L/R)^++-- f_3 f_4 (W+- W+- fusion).

class Sigma3ff2HchgchgfftWW : public Sigma3Process {

public:

  // Constructor.
  Sigma3ff2HchgchgfftWW(int leftRightIn) : leftRight(leftRightIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ff";}
  virtual int    id3Mass() const {return idHLR;}

  // Instructions for 3-body phase space with t-channel propagators.
  virtual int    idTchan1()        const {return 9900024;}
  virtual int    idTchan2()        const {return 9900024;}
  virtual double tChanFracPow1()   const {return 0.05;}
  virtual double tChanFracPow2()   const {return 0.9;}
  virtual bool   useMirrorWeight() const {return true;}

private:

  // Store standard prefactor.
  int    leftRight, idHLR, codeSave;
  string nameSave;
  double mWS, prefac, sigma0TU, sigma0T, openFracPos, openFracNeg;

};
 
//==========================================================================

// A derived class for f fbar -> H_(L/R)^++ H_(L/R)^--  (doubly charged Higgs).

class Sigma2ffbar2HchgchgHchgchg : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2HchgchgHchgchg(int leftRightIn) : leftRight(leftRightIn) {}

  // Initialize process.
  virtual void initProc();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angle.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return nameSave;}
  virtual int    code()       const {return codeSave;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    id3Mass()    const {return idHLR;}
  virtual int    id4Mass()    const {return idHLR;}
  virtual int    resonanceA() const {return 23;}

private:

  // Parameters set at initialization.
  int    leftRight, idHLR, codeSave;
  string nameSave;
  double mRes, GammaRes, m2Res, GamMRat, sin2tW, preFac, yukawa[4][4],
         openFrac;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaLeftRightSym_H
pythia8-8.1.86.orig/include/Pythia8/SLHAinterface.h0000644000175000017500000000405412357054744020107 0ustar  sunsun// SLHAinterface.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for SUSY Les Houches Accord Interface.
// Handles the communication between PYTHIA and the SusyLesHouches classes.

#ifndef Pythia8_SLHAinterface_H
#define Pythia8_SLHAinterface_H

#include "Pythia8/Basics.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/SusyCouplings.h"
#include "Pythia8/SusyLesHouches.h"

namespace Pythia8 {

//==========================================================================

// The SLHAinterface class handles communication between Pythia and
// SusyLesHouches.

class SLHAinterface {

public:

  // Constructor.
  SLHAinterface() {} ;

  // Set pointers
  void setPtr( Info* infoPtrIn ) {infoPtr     = infoPtrIn;}

  // Initialize and switch to SUSY couplings if reading SLHA spectrum
  void init( Settings& settings, Rndm* rndmPtr, Couplings* couplingsPtrIn,
    ParticleData* particleDataPtr, bool& useSHLAcouplings );

  // Initialize SUSY Les Houches Accord data.
  bool initSLHA(Settings& settings, ParticleData* particleDataPtr);

  // Initialize SLHA blocks SMINPUTS and MASS from PYTHIA SM parameter values.
  // E.g., to make sure that there are no important unfilled entries
  void pythia2slha(ParticleData* particleDataPtr);

  // SusyLesHouches - SLHA object for interface to SUSY spectra.
  SusyLesHouches slha;

  // SLHA derived couplings class and pointer to Couplings object
  CoupSUSY       coupSUSY;
  Couplings*     couplingsPtr;

  // Pointers to PYTHIA objects
  Info*          infoPtr;
  Settings*      settingsPtr;

  // Internal data members
  int            meMode;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SLHAinterface_H




pythia8-8.1.86.orig/include/Pythia8/Settings.h0000644000175000017500000002537612357054743017310 0ustar  sunsun// Settings.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the settings database.
// Flag: helper class with bool flags.
// Mode: helper class with int modes.
// Parm: (short for parameter) helper class with double parameters.
// Word: helper class with string words.
// MVec: vector of Modes (integers).
// PVec: vector of Parms (doubles).
// Settings: maps of flags, modes, parms and words with input/output.

#ifndef Pythia8_Settings_H
#define Pythia8_Settings_H

#include "Pythia8/Info.h"
#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================

// Class for bool flags.

class Flag {

public:

  // Constructor
  Flag(string nameIn = " ", bool defaultIn = false) : name(nameIn),
    valNow(defaultIn) , valDefault(defaultIn) { }

  // Data members.
  string name;
  bool   valNow, valDefault;

};

//==========================================================================

// Class for integer modes.

class Mode {

public:

  // Constructor
  Mode(string nameIn = " ", int defaultIn = 0, bool hasMinIn = false,
    bool hasMaxIn = false, int minIn = 0,  int maxIn = 0) :  name(nameIn),
    valNow(defaultIn), valDefault(defaultIn), hasMin(hasMinIn),
    hasMax(hasMaxIn), valMin(minIn), valMax(maxIn) { }

  // Data members.
  string name;
  int    valNow, valDefault;
  bool   hasMin, hasMax;
  int    valMin, valMax;

};

//==========================================================================

// Class for double parms (where parm is shorthand for parameter).

class Parm {

public:

  // Constructor
  Parm(string nameIn = " ", double defaultIn = 0.,
    bool hasMinIn = false, bool hasMaxIn = false, double minIn = 0.,
    double maxIn = 0.) :  name(nameIn), valNow(defaultIn),
    valDefault(defaultIn), hasMin(hasMinIn), hasMax(hasMaxIn),
    valMin(minIn), valMax(maxIn) { }

  // Data members.
  string name;
  double valNow, valDefault;
  bool   hasMin, hasMax;
  double valMin, valMax;

};

//==========================================================================

// Class for string words.

class Word {

public:

  // Constructor
  Word(string nameIn = " ", string defaultIn = " ") : name(nameIn),
    valNow(defaultIn) , valDefault(defaultIn) { }

  // Data members.
  string name, valNow, valDefault;

};

//==========================================================================

// Class for vector of bool flags.

class FVec {

public:

  // Constructor
  FVec(string nameIn = " ", vector defaultIn = vector(1, false)) : 
    name(nameIn), valNow(defaultIn) , valDefault(defaultIn) { }

  // Data members.
  string name;
  vector valNow, valDefault;

};

//==========================================================================

// Class for vector of integers.

class MVec {

public:

  // Constructor
  MVec(string nameIn = " ", vector defaultIn = vector(1, 0),
    bool hasMinIn = false, bool hasMaxIn = false, int minIn = 0,
    int maxIn = 0) :  name(nameIn), valNow(defaultIn),
    valDefault(defaultIn), hasMin(hasMinIn), hasMax(hasMaxIn),
    valMin(minIn), valMax(maxIn) { }

  // Data members.
  string name;
  vector valNow, valDefault;
  bool   hasMin, hasMax;
  int    valMin, valMax;

};

//==========================================================================

// Class for vector of doubles.

class PVec {

public:

  // Constructor
  PVec(string nameIn = " ", vector defaultIn = vector(1, 0.),
    bool hasMinIn = false, bool hasMaxIn = false, double minIn = 0.,
    double maxIn = 0.) :  name(nameIn), valNow(defaultIn),
    valDefault(defaultIn), hasMin(hasMinIn), hasMax(hasMaxIn),
    valMin(minIn), valMax(maxIn) { }

  // Data members.
  string name;
  vector valNow, valDefault;
  bool   hasMin, hasMax;
  double valMin, valMax;

};

//==========================================================================

// This class holds info on flags (bool), modes (int), parms (double),
// words (string), fvecs (vector of bool), mvecs (vector of int) and pvecs 
// (vector of double).

class Settings {

public:

  // Constructor.
  Settings() : isInit(false), readingFailedSave(false) {}

  // Initialize Info pointer.
  void initPtr(Info* infoPtrIn) {infoPtr = infoPtrIn;}
 
  // Read in database from specific file.
  bool init(string startFile = "../xmldoc/Index.xml", bool append = false,
    ostream& os = cout) ;

  // Overwrite existing database by reading from specific file.
  bool reInit(string startFile = "../xmldoc/Index.xml", ostream& os = cout) ;

  // Read in one update from a single line.
  bool readString(string line, bool warn = true, ostream& os = cout) ;

  // Keep track whether any readings have failed, invalidating run setup.
  bool readingFailed() {return readingFailedSave;}
 
  // Write updates or everything to user-defined file.
  bool writeFile(string toFile, bool writeAll = false) ;
  bool writeFile(ostream& os = cout, bool writeAll = false) ;

  // Print out table of database, either all or only changed ones,
  // or ones containing a given string.
  void listAll(ostream& os = cout) {
    list( true, false, " ", os); }
  void listChanged(ostream& os = cout) {
    list (false, false, " ", os); }
  void list(string match, ostream& os = cout) {
    list (false, true, match, os); }

  // Reset all values to their defaults.
  void resetAll() ;

  // Query existence of an entry.
  bool isFlag(string keyIn) {
    return (flags.find(toLower(keyIn)) != flags.end()); }
  bool isMode(string keyIn) {
    return (modes.find(toLower(keyIn)) != modes.end()); }
  bool isParm(string keyIn) {
    return (parms.find(toLower(keyIn)) != parms.end()); }
  bool isWord(string keyIn) {
    return (words.find(toLower(keyIn)) != words.end()); }
  bool isFVec(string keyIn) {
    return (fvecs.find(toLower(keyIn)) != fvecs.end()); }
  bool isMVec(string keyIn) {
    return (mvecs.find(toLower(keyIn)) != mvecs.end()); }
  bool isPVec(string keyIn) {
    return (pvecs.find(toLower(keyIn)) != pvecs.end()); }
 
  // Add new entry.
  void addFlag(string keyIn, bool defaultIn) {
    flags[toLower(keyIn)] = Flag(keyIn, defaultIn); }
  void addMode(string keyIn, int defaultIn, bool hasMinIn,
    bool hasMaxIn, int minIn, int maxIn) { modes[toLower(keyIn)]
    = Mode(keyIn, defaultIn, hasMinIn, hasMaxIn, minIn, maxIn); }
  void addParm(string keyIn, double defaultIn, bool hasMinIn,
    bool hasMaxIn, double minIn, double maxIn) { parms[toLower(keyIn)]
    = Parm(keyIn, defaultIn, hasMinIn, hasMaxIn, minIn, maxIn); }
  void addWord(string keyIn, string defaultIn) {
    words[toLower(keyIn)] = Word(keyIn, defaultIn); }
  void addFVec(string keyIn, vector defaultIn) {
    fvecs[toLower(keyIn)] = FVec(keyIn, defaultIn); }
  void addMVec(string keyIn, vector defaultIn, bool hasMinIn,
    bool hasMaxIn, int minIn, int maxIn) { mvecs[toLower(keyIn)]
    = MVec(keyIn, defaultIn, hasMinIn, hasMaxIn, minIn, maxIn); }
   void addPVec(string keyIn, vector defaultIn, bool hasMinIn,
    bool hasMaxIn, double minIn, double maxIn) { pvecs[toLower(keyIn)]
    = PVec(keyIn, defaultIn, hasMinIn, hasMaxIn, minIn, maxIn); }

  // Give back current value, with check that key exists.
  bool   flag(string keyIn);
  int    mode(string keyIn);
  double parm(string keyIn);
  string word(string keyIn);
  vector   fvec(string keyIn);
  vector    mvec(string keyIn);
  vector pvec(string keyIn);

  // Give back default value, with check that key exists.
  bool   flagDefault(string keyIn);
  int    modeDefault(string keyIn);
  double parmDefault(string keyIn);
  string wordDefault(string keyIn);
  vector   fvecDefault(string keyIn);
  vector    mvecDefault(string keyIn);
  vector pvecDefault(string keyIn);
    
  // Give back a map of all entries whose names match the string "match".
  map getFlagMap(string match);
  map getModeMap(string match);
  map getParmMap(string match);
  map getWordMap(string match);
  map getFVecMap(string match);
  map getMVecMap(string match);
  map getPVecMap(string match);

  // Change current value, respecting limits.
  void flag(string keyIn, bool nowIn);
  void mode(string keyIn, int nowIn);
  void parm(string keyIn, double nowIn);
  void word(string keyIn, string nowIn);
  void fvec(string keyIn, vector nowIn);
  void mvec(string keyIn, vector nowIn);
  void pvec(string keyIn, vector nowIn);

  // Change current value, disregarding limits.
  void forceMode(string keyIn, int nowIn);
  void forceParm(string keyIn, double nowIn);
  void forceMVec(string keyIn, vector nowIn);
  void forcePVec(string keyIn, vector nowIn);
     
  // Restore current value to default.
  void resetFlag(string keyIn);
  void resetMode(string keyIn);
  void resetParm(string keyIn);
  void resetWord(string keyIn);
  void resetFVec(string keyIn);
  void resetMVec(string keyIn);
  void resetPVec(string keyIn);

private:

  // Pointer to various information on the generation.
  Info* infoPtr;

  // Map for bool flags.
  map flags;

  // Map for integer modes.
  map modes;

  // Map for double parms.
  map parms;

  // Map for string words.
  map words;

  // Map for vectors of bool.
  map fvecs;

  // Map for vectors of int.
  map mvecs;

  // Map for vectors of double.
  map pvecs;

  // Flags that initialization has been performed; whether any failures.
  bool isInit, readingFailedSave;

  // Print out table of database, called from listAll and listChanged.
  void list(bool doListAll, bool doListString, string match,
    ostream& os = cout);

  // Master switch for program printout.
  void printQuiet(bool quiet);

  // Restore settings used in tunes to e+e- and pp/ppbar data.
  void resetTuneEE();
  void resetTunePP();

  // Initialize tunes to e+e- and pp/ppbar data.
  void initTuneEE(int eeTune);
  void initTunePP(int ppTune);

  // Useful functions for string handling.
  string toLower(const string& name);
  bool   boolString(string tag);
  string attributeValue(string line, string attribute);
  bool   boolAttributeValue(string line, string attribute);
  int    intAttributeValue(string line, string attribute);
  double doubleAttributeValue(string line, string attribute);
  vector   boolVectorAttributeValue(string line, string attribute);
  vector    intVectorAttributeValue(string line, string attribute);
  vector doubleVectorAttributeValue(string line, string attribute);

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_Settings_H
pythia8-8.1.86.orig/include/Pythia8/SigmaQCD.h0000644000175000017500000005245012357054744017072 0ustar  sunsun// SigmaQCD.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for QCD process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma(0/2)Process.

#ifndef Pythia8_SigmaQCD_H
#define Pythia8_SigmaQCD_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A derived class for minimum-bias (inelastic, nondiffractive) events.

class Sigma0nonDiffractive : public Sigma0Process {

public:

  // Constructor.
  Sigma0nonDiffractive() {}

  // Evaluate sigma.
  virtual double sigmaHat() {return sigmaTotPtr->sigmaND();}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol() {}

  // Info on the subprocess.
  virtual string name()      const {return "non-diffractive";}
  virtual int    code()      const {return 101;}
  virtual bool   isNonDiff() const {return true;}

private:

};
 
//==========================================================================

// A derived class for elastic scattering A B -> A B.

class Sigma0AB2AB : public Sigma0Process {

public:

  // Constructor.
  Sigma0AB2AB() {}

  // Evaluate sigma.
  virtual double sigmaHat() {return sigmaTotPtr->sigmaEl();}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "A B -> A B elastic";}
  virtual int    code()       const {return 102;}
  virtual bool   isResolved() const {return false;}

private:

};
 
//==========================================================================

// A derived class for single diffractive scattering A B -> X B.

class Sigma0AB2XB : public Sigma0Process {

public:

  // Constructor.
  Sigma0AB2XB() {}

  // Evaluate sigma.
  virtual double sigmaHat() {return sigmaTotPtr->sigmaXB();}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "A B -> X B single diffractive";}
  virtual int    code()       const {return 103;}
  virtual bool   isResolved() const {return false;}
  virtual bool   isDiffA()    const {return true;};

private:

};
 
//==========================================================================

// A derived class for single diffractive scattering A B -> A X.

class Sigma0AB2AX : public Sigma0Process {

public:

  // Constructor.
  Sigma0AB2AX() {}

  // Evaluate sigma.
  virtual double sigmaHat() {return sigmaTotPtr->sigmaAX();}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "A B -> A X single diffractive";}
  virtual int    code()       const {return 104;}
  virtual bool   isResolved() const {return false;}
  virtual bool   isDiffB()    const {return true;};

private:

};
 
//==========================================================================

// A derived class for double diffractive scattering A B -> X X.

class Sigma0AB2XX : public Sigma0Process {

public:

  // Constructor.
  Sigma0AB2XX() {}

  // Evaluate sigma.
  virtual double sigmaHat() {return sigmaTotPtr->sigmaXX();}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "A B -> X X double diffractive";}
  virtual int    code()       const {return 105;}
  virtual bool   isResolved() const {return false;}
  virtual bool   isDiffA()    const {return true;};
  virtual bool   isDiffB()    const {return true;};

private:

};

//==========================================================================

// A derived class for central diffractive scattering A B -> A X B.

class Sigma0AB2AXB : public Sigma0Process {

public:

  // Constructor.
  Sigma0AB2AXB() {}
  
  // Evaluate sigma.
  virtual double sigmaHat() {return sigmaTotPtr->sigmaAXB();}
  
  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()      const {return "A B -> A X B central diffractive";}
  virtual int    code()       const {return 106;}
  virtual int    nFinal()     const {return 3;}
  virtual bool   isResolved() const {return false;}
  virtual bool   isDiffC()    const {return true;};

private:

};

//==========================================================================

// A derived class for g g -> g g.

class Sigma2gg2gg : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2gg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "g g -> g g";}
  virtual int    code()   const {return 111;}
  virtual string inFlux() const {return "gg";}

private:

  // Values stored for colour flow selection.
  double sigTS, sigUS, sigTU, sigSum, sigma;

};

//==========================================================================

// A derived class for g g -> q qbar (q = u, d, s, i.e. almost massless).

class Sigma2gg2qqbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2qqbar() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "g g -> q qbar (uds)";}
  virtual int    code()   const {return 112;}
  virtual string inFlux() const {return "gg";}

private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

  // Values stored for colour flow selection.
  int    idNew;
  double mNew, m2New, sigTS, sigUS, sigSum, sigma;

};
 
//==========================================================================

// A derived class for q g -> q g (q = u, d, s, c, b).
// Use massless approximation also for Q since no alternative.

class Sigma2qg2qg : public Sigma2Process {

public:

  // Constructor.
  Sigma2qg2qg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q g -> q g";}
  virtual int    code()   const {return 113;}
  virtual string inFlux() const {return "qg";}

private:

  // Values stored for colour flow selection.
  double sigTS, sigTU, sigSum, sigma;

};
 
//==========================================================================

// A derived class for q qbar' -> q qbar' or q q' -> q q'
// (qbar qbar' -> qbar qbar'), q' may be same as q.

class Sigma2qq2qq : public Sigma2Process {

public:

  // Constructor.
  Sigma2qq2qq() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q q(bar)' -> q q(bar)'";}
  virtual int    code()   const {return 114;}
  virtual string inFlux() const {return "qq";}

 private:

  // Values stored for colour flow selection.
  double sigT, sigU, sigTU, sigST, sigSum;

};
 
//==========================================================================

// A derived class for q qbar -> g g.

class Sigma2qqbar2gg : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2gg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q qbar -> g g";}
  virtual int    code()   const {return 115;}
  virtual string inFlux() const {return "qqbarSame";}

 private:

  // Values stored for colour flow selection.
  double sigTS, sigUS, sigSum, sigma;

};
  
//==========================================================================

// A derived class for q qbar -> q' qbar'.

class Sigma2qqbar2qqbarNew : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2qqbarNew() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()   const {return "q qbar -> q' qbar' (uds)";}
  virtual int    code()   const {return 116;}
  virtual string inFlux() const {return "qqbarSame";}

 private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

  // Values stored for colour flow selection.
  int    idNew;
  double mNew, m2New, sigS, sigma;

};
 
//==========================================================================

// A derived class for g g -> Q Qbar (Q = c, b or t).

class Sigma2gg2QQbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2QQbar(int idIn, int codeIn) : idNew(idIn), codeSave(codeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angles in top decay (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idNew;}
  virtual int    id4Mass() const {return idNew;}

 private:

  // Values stored for process type and colour flow selection.
  int    idNew, codeSave;
  string nameSave;
  double sigTS, sigUS, sigSum, sigma, openFracPair;

};
 
//==========================================================================

// A derived class for q qbar -> Q Qbar (Q = c, b or t).

class Sigma2qqbar2QQbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2QQbar(int idIn, int codeIn) : idNew(idIn), codeSave(codeIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for W decay angles in top decay (else inactive).
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return idNew;}
  virtual int    id4Mass() const {return idNew;}

 private:

  // Values stored for process type.
  int    idNew, codeSave;
  string nameSave;
  double sigma, openFracPair;

};

//==========================================================================

// A derived class for g g -> g g g.

class Sigma3gg2ggg : public Sigma3Process {

public:

  // Constructor.
  Sigma3gg2ggg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "g g -> g g g";}
  virtual int    code()       const {return 131;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "gg";}
  virtual bool   isQCD3body() const {return true;}

private:

  // Values stored for colour flow selection.
  double sigma;

  // Intermediate storage and calculation of four-products.
  double pp[6][6];
  double cycle(int i1, int i2, int i3, int i4, int i5) {return
    pp[i1][i2] * pp[i2][i3] * pp[i3][i4] * pp[i4][i5] * pp[i5][i1];}

};

//==========================================================================

// A derived class for q qbar -> g g g.

class Sigma3qqbar2ggg : public Sigma3Process {

public:

  // Constructor.
  Sigma3qqbar2ggg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q qbar -> g g g";}
  virtual int    code()       const {return 132;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual bool   isQCD3body() const {return true;}

protected:

  // Pick/map a random final state configuration
  int         config;
  inline void pickFinal() { config = int( 6 * rndmPtr->flat() ); }
  inline void mapFinal();

  // |M|^2 calculation
  inline double m2Calc();

  // Four-vectors for |M|^2 calculation
  Vec4 pCM[5];

  // Intermediate storage and calculation of four-products
  double a[3], b[3], pp[3][3], ab[3][3];

  // Values stored for colour flow selection.
  double sigma;

};

//==========================================================================

// A derived class for q g -> q g g
// Derived from Sigma3qqbar2ggg

class Sigma3qg2qgg : public Sigma3qqbar2ggg {

public:

  // Constructor.
  Sigma3qg2qgg() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q g -> q g g";}
  virtual int    code()       const {return 133;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qg";}
  virtual bool   isQCD3body() const {return true;}

private:

  // Sigma for (qg) and (gq) incoming
  double sigma[2];

};

//==========================================================================

// A derived class for g g -> q qbar g
// Derived from Sigma3qqbar2ggg

class Sigma3gg2qqbarg : public Sigma3qqbar2ggg {

public:

  // Constructor.
  Sigma3gg2qqbarg() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "g g -> q qbar g";}
  virtual int    code()       const {return 138;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "gg";}
  virtual bool   isQCD3body() const {return true;}

private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

};

//==========================================================================

// A derived class for q q' -> q q' g

class Sigma3qq2qqgDiff : public Sigma3Process {

public:

  // Constructor.
  Sigma3qq2qqgDiff() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const
    {return "q(bar) q(bar)' -> q(bar) q(bar)' g";}
  virtual int    code()       const {return 134;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qq";}
  virtual bool   isQCD3body() const {return true;}

protected:

  // Pick/map a random final state configuration
  int         config;
  inline void pickFinal() { config = int( 6 * rndmPtr->flat() ); }
  inline void mapFinal();

  // |M|^2 calculation
  inline double m2Calc();

  // Kinematic configuration
  Vec4 pCM[5];

  // Four-products
  double s, t, u, sp, tp, up;

  // Cross section
  double sigma;

};

//==========================================================================

// A derived class for q qbar -> q' qbar' g
// Derived from Sigma3qq2qqgDiff

class Sigma3qqbar2qqbargDiff : public Sigma3qq2qqgDiff {

public:

  // Constructor.
  Sigma3qqbar2qqbargDiff() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q qbar -> q' qbar' g";}
  virtual int    code()       const {return 136;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual bool   isQCD3body() const {return true;}

private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

};

//==========================================================================

// A derived class for q g -> q q' qbar'
// Derived from Sigma3qq2qqgDiff

class Sigma3qg2qqqbarDiff : public Sigma3qq2qqgDiff {

public:

  // Constructor.
  Sigma3qg2qqqbarDiff() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q g -> q q' qbar'";}
  virtual int    code()       const {return 139;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qg";}
  virtual bool   isQCD3body() const {return true;}

private:

  // Number of quarks to be considered in massless approximation.
  int    nQuarkNew;

  // gq and qg incoming
  double sigma[2];

};

//==========================================================================

// A derived class for q q -> q q g

class Sigma3qq2qqgSame : public Sigma3Process {

public:

  // Constructor.
  Sigma3qq2qqgSame() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const
    {return "q(bar) q(bar) -> q(bar) q(bar) g";}
  virtual int    code()       const {return 135;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qq";}
  virtual bool   isQCD3body() const {return true;}

protected:

  // Pick/map a random final state configuration
  int         config;
  inline void pickFinal() { config = int( 6 * rndmPtr->flat() ); }
  inline void mapFinal();

  // |M|^2 calculation
  inline double m2Calc();

  // Kinematic configuration
  Vec4 pCM[5];

  // Four-products
  double s, t, u, sp, tp, up;
  double ssp, ttp, uup, s_sp, t_tp, u_up;

  // Cross section
  double sigma;

};

//==========================================================================

// A derived class for q q -> q q g
// Derived from Sigma3qq2qqgSame

class Sigma3qqbar2qqbargSame : public Sigma3qq2qqgSame {

public:

  // Constructor.
  Sigma3qqbar2qqbargSame() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q qbar -> q qbar g";}
  virtual int    code()       const {return 137;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual bool   isQCD3body() const {return true;}

private:

};

//==========================================================================

// A derived class for q g -> q qbar q; same flavour.
// Derived from Sigma3qq2qqgSame

class Sigma3qg2qqqbarSame : public Sigma3qq2qqgSame {

public:

  // Constructor.
  Sigma3qg2qqqbarSame() {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()       const {return "q g -> q q qbar";}
  virtual int    code()       const {return 140;}
  virtual int    nFinal()     const {return 3;}
  virtual string inFlux()     const {return "qg";}
  virtual bool   isQCD3body() const {return true;}

private:

  // gq and qg incoming
  double sigma[2];

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaQCD_H
pythia8-8.1.86.orig/include/Pythia8/FJcore.h0000644000175000017500000020652512357054733016654 0ustar  sunsun// fjcore -- extracted from FastJet v3.0.5 (http://fastjet.fr)
//
// fjcore constitutes a digest of the main FastJet functionality.
// The files fjcore.hh and fjcore.cc are meant to provide easy access to these
// core functions, in the form of single files and without the need of a full
// FastJet installation:
//
//     g++ main.cc fjcore.cc
//
// with main.cc including fjcore.hh.
//
// The results are expected to be identical to those obtained by linking to
// the full FastJet distribution.
//
// NOTE THAT, IN ORDER TO MAKE IT POSSIBLE FOR FJCORE AND THE FULL FASTJET
// TO COEXIST, THE FORMER USES THE "fjcore" NAMESPACE INSTEAD OF "fastjet".
//
// In particular, fjcore provides:
//
//   - access to all native pp and ee algorithms, kt, anti-kt, C/A.
//     For C/A, the NlnN method is available, while anti-kt and kt
//     are limited to the N^2 one (still the fastest for N < 20k particles)
//   - access to selectors, for implementing cuts and selections
//   - access to all functionalities related to pseudojets (e.g. a jet's
//     structure or user-defined information)
//
// Instead, it does NOT provide:
//
//   - jet areas functionality
//   - background estimation
//   - access to other algorithms via plugins
//   - interface to CGAL
//   - fastjet tools, e.g. filters, taggers
//
// If these functionalities are needed, the full FastJet installation must be
// used. The code will be fully compatible, with the sole replacement of the
// header files and of the fjcore namespace with the fastjet one.
//
// fjcore.hh and fjcore.cc are not meant to be human-readable.
// For documentation, see the full FastJet manual and doxygen at http://fastjet.fr
//
// Like FastJet, fjcore is released under the terms of the GNU General Public
// License version 2 (GPLv2). If you use this code as part of work towards a
// scientific publication, whether directly or contained within another program
// (e.g. Delphes, SpartyJet, Rivet, LHC collaboration software frameworks,
// etc.), you should include a citation to
//
//   EPJC72(2012)1896 [arXiv:1111.6097] (FastJet User Manual)
//   and, optionally, Phys.Lett.B641 (2006) 57 [arXiv:hep-ph/0512210]
//
// Copyright (c) 2005-2013, Matteo Cacciari, Gavin P. Salam and Gregory Soyez
//
//----------------------------------------------------------------------
// This file is part of FastJet.
//
//  FastJet is free software; you can redistribute it and/or modify
//  it under the terms of the GNU General Public License as published by
//  the Free Software Foundation; either version 2 of the License, or
//  (at your option) any later version.
//
//  The algorithms that underlie FastJet have required considerable
//  development and are described in hep-ph/0512210. If you use
//  FastJet as part of work towards a scientific publication, please
//  include a citation to the FastJet paper.
//
//  FastJet is distributed in the hope that it will be useful,
//  but WITHOUT ANY WARRANTY; without even the implied warranty of
//  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//  GNU General Public License for more details.
//
//  You should have received a copy of the GNU General Public License
//  along with FastJet. If not, see .
//----------------------------------------------------------------------
//
#ifndef __FJCORE_HH__
#define __FJCORE_HH__
#define __FJCORE__   // remove all the non-core code (a safekeeper)
#define __FJCORE_DROP_CGAL    // disable CGAL support
#ifndef __FJCORE_FASTJET_BASE_HH__
#define __FJCORE_FASTJET_BASE_HH__
#define FJCORE_BEGIN_NAMESPACE namespace fjcore {
#define FJCORE_END_NAMESPACE   }
#endif // __FJCORE_FASTJET_BASE_HH__
#ifndef __FJCORE_NUMCONSTS__
#define __FJCORE_NUMCONSTS__
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
const double pi = 3.141592653589793238462643383279502884197;
const double twopi = 6.283185307179586476925286766559005768394;
const double pisq  = 9.869604401089358618834490999876151135314;
const double zeta2 = 1.644934066848226436472415166646025189219;
const double zeta3 = 1.202056903159594285399738161511449990765;
const double eulergamma = 0.577215664901532860606512090082402431042;
const double ln2   = 0.693147180559945309417232121458176568076;
FJCORE_END_NAMESPACE
#endif // __FJCORE_NUMCONSTS__
#ifndef __FJCORE_INTERNAL_IS_BASE_HH__
#define __FJCORE_INTERNAL_IS_BASE_HH__
FJCORE_BEGIN_NAMESPACE
template
struct integral_type{
  static const T value = _t;         ///< the value (only member carrying info)
  typedef T value_type;		     ///< a typedef for the type T
  typedef integral_type type;  ///< a typedef for the whole structure
};
template
const T integral_type::value;
typedef integral_type  true_type;  ///< the bool 'true'  value promoted to a type
typedef integral_type false_type; ///< the bool 'false' value promoted to a type
typedef char (&__yes_type)[1]; //< the yes type
typedef char (&__no_type) [2]; //< the no type
template
struct __inheritance_helper{
#if !((_MSC_VER !=0 ) && (_MSC_VER == 1310))   // MSVC 7.1
  template 
  static __yes_type check_sig(D const volatile *, T);
#else
  static __yes_type check_sig(D const volatile *, long);
#endif
  static __no_type  check_sig(B const volatile *, int);
};
template
struct IsBaseAndDerived{
#if ((_MSC_FULL_VER != 0) && (_MSC_FULL_VER >= 140050000))
#pragma warning(push)
#pragma warning(disable:6334)
#endif
  struct Host{
#if !((_MSC_VER !=0 ) && (_MSC_VER == 1310))
    operator B const volatile *() const;
#else
    operator B const volatile * const&() const;
#endif
    operator D const volatile *();
  };
  static const bool value = ((sizeof(B)!=0) &&
			     (sizeof(D)!=0) &&
			     (sizeof(__inheritance_helper::check_sig(Host(), 0)) == sizeof(__yes_type)));
#if ((_MSC_FULL_VER != 0) && (_MSC_FULL_VER >= 140050000))
#pragma warning(pop)
#endif
};
template
B* cast_if_derived(D* d){
  return IsBaseAndDerived::value ? (B*)(d) : 0;
}
FJCORE_END_NAMESPACE
#endif  // __IS_BASE_OF_HH__
#ifndef _INCLUDE_FJCORE_CONFIG_AUTO_H
#define _INCLUDE_FJCORE_CONFIG_AUTO_H 1
#ifndef FJCORE_HAVE_DLFCN_H
#define FJCORE_HAVE_DLFCN_H  1
#endif
#ifndef FJCORE_HAVE_EXECINFO_H
#define FJCORE_HAVE_EXECINFO_H  1
#endif
#ifndef FJCORE_HAVE_INTTYPES_H
#define FJCORE_HAVE_INTTYPES_H  1
#endif
#ifndef FJCORE_HAVE_LIBM
#define FJCORE_HAVE_LIBM  1
#endif
#ifndef FJCORE_HAVE_MEMORY_H
#define FJCORE_HAVE_MEMORY_H  1
#endif
#ifndef FJCORE_HAVE_STDINT_H
#define FJCORE_HAVE_STDINT_H  1
#endif
#ifndef FJCORE_HAVE_STDLIB_H
#define FJCORE_HAVE_STDLIB_H  1
#endif
#ifndef FJCORE_HAVE_STRINGS_H
#define FJCORE_HAVE_STRINGS_H  1
#endif
#ifndef FJCORE_HAVE_STRING_H
#define FJCORE_HAVE_STRING_H  1
#endif
#ifndef FJCORE_HAVE_SYS_STAT_H
#define FJCORE_HAVE_SYS_STAT_H  1
#endif
#ifndef FJCORE_HAVE_SYS_TYPES_H
#define FJCORE_HAVE_SYS_TYPES_H  1
#endif
#ifndef FJCORE_HAVE_UNISTD_H
#define FJCORE_HAVE_UNISTD_H  1
#endif
#ifndef FJCORE_LT_OBJDIR
#define FJCORE_LT_OBJDIR  ".libs/"
#endif
#ifndef FJCORE_PACKAGE
#define FJCORE_PACKAGE  "fastjet"
#endif
#ifndef FJCORE_PACKAGE_BUGREPORT
#define FJCORE_PACKAGE_BUGREPORT  ""
#endif
#ifndef FJCORE_PACKAGE_NAME
#define FJCORE_PACKAGE_NAME  "FastJet"
#endif
#ifndef FJCORE_PACKAGE_STRING
#define FJCORE_PACKAGE_STRING  "FastJet 3.0.5"
#endif
#ifndef FJCORE_PACKAGE_TARNAME
#define FJCORE_PACKAGE_TARNAME  "fastjet"
#endif
#ifndef FJCORE_PACKAGE_VERSION
#define FJCORE_PACKAGE_VERSION  "3.0.5"
#endif
#ifndef FJCORE_STDC_HEADERS
#define FJCORE_STDC_HEADERS  1
#endif
#ifndef FJCORE_VERSION
#define FJCORE_VERSION  "3.0.5"
#endif
#endif
#ifndef __FJCORE_CONFIG_H__
#define __FJCORE_CONFIG_H__
#endif // __FJCORE_CONFIG_H__
#ifndef __FJCORE_SHARED_PTR_HH__
#define __FJCORE_SHARED_PTR_HH__
#include   // for NULL!!!
#ifdef __FJCORE_USETR1SHAREDPTR
#include 
#endif // __FJCORE_USETR1SHAREDPTR
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
#ifdef __FJCORE_USETR1SHAREDPTR
template
class SharedPtr : public std::tr1::shared_ptr {
public:
  SharedPtr() : std::tr1::shared_ptr() {}
  SharedPtr(T * t) : std::tr1::shared_ptr(t) {}
  SharedPtr(const SharedPtr & t) : std::tr1::shared_ptr(t) {}
  inline operator bool() const {return (this->get()!=NULL);}
  T* operator ()() const{
    return this->get(); // automatically returns NULL when out-of-scope
  }
};
#else // __FJCORE_USETR1SHAREDPTR
template
class SharedPtr{
public:
  class __SharedCountingPtr;
  SharedPtr() : _ptr(NULL){}
  template explicit SharedPtr(Y* ptr){
    _ptr = new __SharedCountingPtr(ptr);
  }
  SharedPtr(SharedPtr const & share) : _ptr(share._get_container()){
    if (_ptr!=NULL) ++(*_ptr);
  }
  ~SharedPtr(){
    if (_ptr==NULL) return;
    _decrease_count();
  }
  void reset(){
    SharedPtr().swap(*this);
  }
  template void reset(Y * ptr){
    SharedPtr(ptr).swap(*this);
  }
  template void reset(SharedPtr const & share){
    if (_ptr!=NULL){
      if (_ptr == share._get_container()) return;
      _decrease_count();
    }
    _ptr = share._get_container();  // Note: automatically set it to NULL if share is empty
    if (_ptr!=NULL) ++(*_ptr);
  }
  SharedPtr& operator=(SharedPtr const & share){
    reset(share);
    return *this;
  }
  template SharedPtr& operator=(SharedPtr const & share){
    reset(share);
    return *this;
  }
  T* operator ()() const{
    if (_ptr==NULL) return NULL;
    return _ptr->get(); // automatically returns NULL when out-of-scope
  }
  inline T& operator*() const{
    return *(_ptr->get());
  }
  inline T* operator->() const{
    if (_ptr==NULL) return NULL;
    return _ptr->get();
  }
  inline T* get() const{
    if (_ptr==NULL) return NULL;
    return _ptr->get();
  }
  inline bool unique() const{
    return (use_count()==1);
  }
  inline long use_count() const{
    if (_ptr==NULL) return 0;
    return _ptr->use_count(); // automatically returns NULL when out-of-scope
  }
  inline operator bool() const{
    return (get()!=NULL);
  }
  inline void swap(SharedPtr & share){
    __SharedCountingPtr* share_container = share._ptr;
    share._ptr = _ptr;
    _ptr = share_container;
  }
  void set_count(const long & count){
    if (_ptr==NULL) return;
    _ptr->set_count(count);
  }
  class __SharedCountingPtr{
  public:
    __SharedCountingPtr() : _ptr(NULL), _count(0){}
    template explicit __SharedCountingPtr(Y* ptr) : _ptr(ptr), _count(1){}
    ~__SharedCountingPtr(){
      if (_ptr!=NULL){ delete _ptr;}
    }
    inline T* get() const {return _ptr;}
    inline long use_count() const {return _count;}
    inline long operator++(){return ++_count;}
    inline long operator--(){return --_count;}
    inline long operator++(int){return _count++;}
    inline long operator--(int){return _count--;}
    void set_count(const long & count){
      _count = count;
    }
  private:
    T *_ptr;              ///< the pointer we're counting the references to
    long _count;  ///< the number of references
  };
private:
  inline __SharedCountingPtr* _get_container() const{
    return _ptr;
  }
  void _decrease_count(){
    (*_ptr)--;
    if (_ptr->use_count()==0)
      delete _ptr; // that automatically deletes the object itself
  }
  __SharedCountingPtr *_ptr;
};
template
inline bool operator==(SharedPtr const & t, SharedPtr const & u){
  return t.get() == u.get();
}
template
inline bool operator!=(SharedPtr const & t, SharedPtr const & u){
  return t.get() != u.get();
}
template
inline bool operator<(SharedPtr const & t, SharedPtr const & u){
  return t.get() < u.get();
}
template
inline void swap(SharedPtr & a, SharedPtr & b){
  return a.swap(b);
}
template
inline T* get_pointer(SharedPtr const & t){
  return t.get();
}
#endif // __FJCORE_USETR1SHAREDPTR
FJCORE_END_NAMESPACE      // defined in fastjet/internal/base.hh
#endif   // __FJCORE_SHARED_PTR_HH__
#ifndef __FJCORE_ERROR_HH__
#define __FJCORE_ERROR_HH__
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class Error {
public:
  Error() {}
  Error(const std::string & message);
  virtual ~Error() {}
  std::string message() const {return _message;}
  static void set_print_errors(bool print_errors) {_print_errors = print_errors;}
  static void set_print_backtrace(bool enabled) {_print_backtrace = enabled;}
  static void set_default_stream(std::ostream * ostr) {
    _default_ostr = ostr;
  }
private:
  std::string _message;                ///< error message
  static bool _print_errors;           ///< do we print anything?
  static bool _print_backtrace;        ///< do we print the backtrace?
  static std::ostream * _default_ostr; ///< the output stream (cerr if not set)
};
FJCORE_END_NAMESPACE
#endif // __FJCORE_ERROR_HH__
#ifndef __FJCORE_LIMITEDWARNING_HH__
#define __FJCORE_LIMITEDWARNING_HH__
#include 
#include 
#include 
FJCORE_BEGIN_NAMESPACE
class LimitedWarning {
public:
  LimitedWarning() : _max_warn(_max_warn_default), _n_warn_so_far(0), _this_warning_summary(0) {}
  LimitedWarning(int max_warn) : _max_warn(max_warn), _n_warn_so_far(0), _this_warning_summary(0) {}
  void warn(const std::string & warning);
  void warn(const std::string & warning, std::ostream * ostr);
  static void set_default_stream(std::ostream * ostr) {
    _default_ostr = ostr;
  }
  static void set_default_max_warn(int max_warn) {
    _max_warn_default = max_warn;
  }
  static std::string summary();
private:
  int _max_warn, _n_warn_so_far;
  static int _max_warn_default;
  static std::ostream * _default_ostr;
  typedef std::pair Summary;
  static std::list< Summary > _global_warnings_summary;
  Summary * _this_warning_summary;
};
FJCORE_END_NAMESPACE
#endif // __FJCORE_LIMITEDWARNING_HH__
#ifndef __FJCORE_PSEUDOJET_STRUCTURE_BASE_HH__
#define __FJCORE_PSEUDOJET_STRUCTURE_BASE_HH__
#include 
#include 
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class PseudoJet;
class ClusterSequence;
class PseudoJetStructureBase{
public:
  PseudoJetStructureBase(){};
  virtual ~PseudoJetStructureBase(){};
  virtual std::string description() const{ return "PseudoJet with an unknown structure"; }
  virtual bool has_associated_cluster_sequence() const { return false;}
  virtual const ClusterSequence* associated_cluster_sequence() const;
  virtual bool has_valid_cluster_sequence() const {return false;}
  virtual const ClusterSequence * validated_cs() const;
  virtual bool has_partner(const PseudoJet &reference, PseudoJet &partner) const;
  virtual bool has_child(const PseudoJet &reference, PseudoJet &child) const;
  virtual bool has_parents(const PseudoJet &reference, PseudoJet &parent1, PseudoJet &parent2) const;
  virtual bool object_in_jet(const PseudoJet &reference, const PseudoJet &jet) const;
  virtual bool has_constituents() const {return false;}
  virtual std::vector constituents(const PseudoJet &reference) const;
  virtual bool has_exclusive_subjets() const {return false;}
  virtual std::vector exclusive_subjets(const PseudoJet &reference, const double & dcut) const;
  virtual int n_exclusive_subjets(const PseudoJet &reference, const double & dcut) const;
  virtual std::vector exclusive_subjets_up_to (const PseudoJet &reference, int nsub) const;
  virtual double exclusive_subdmerge(const PseudoJet &reference, int nsub) const;
  virtual double exclusive_subdmerge_max(const PseudoJet &reference, int nsub) const;
  virtual bool has_pieces(const PseudoJet & /* reference */) const {
    return false;}
  virtual std::vector pieces(const PseudoJet & /* reference */
                                        ) const;
};
FJCORE_END_NAMESPACE
#endif  //  __FJCORE_PSEUDOJET_STRUCTURE_BASE_HH__
#ifndef __FJCORE_PSEUDOJET_HH__
#define __FJCORE_PSEUDOJET_HH__
#include
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
const double MaxRap = 1e5;
const double pseudojet_invalid_phi = -100.0;
const double pseudojet_invalid_rap = -1e200;
class PseudoJet {
 public:
  PseudoJet() : _px(0), _py(0), _pz(0), _E(0) {_finish_init(); _reset_indices();}
  PseudoJet(const double px, const double py, const double pz, const double E);
  template  PseudoJet(const L & some_four_vector);
  PseudoJet(bool /* dummy */) {}
  virtual ~PseudoJet(){};
  inline double E()   const {return _E;}
  inline double e()   const {return _E;} // like CLHEP
  inline double px()  const {return _px;}
  inline double py()  const {return _py;}
  inline double pz()  const {return _pz;}
  inline double phi() const {return phi_02pi();}
  inline double phi_std()  const {
    _ensure_valid_rap_phi();
    return _phi > pi ? _phi-twopi : _phi;}
  inline double phi_02pi() const {
    _ensure_valid_rap_phi();
    return _phi;
  }
  inline double rap() const {
    _ensure_valid_rap_phi();
    return _rap;
  }
  inline double rapidity() const {return rap();} // like CLHEP
  double pseudorapidity() const;
  double eta() const {return pseudorapidity();}
  inline double pt2() const {return _kt2;}
  inline double  pt() const {return sqrt(_kt2);}
  inline double perp2() const {return _kt2;}  // like CLHEP
  inline double  perp() const {return sqrt(_kt2);}    // like CLHEP
  inline double kt2() const {return _kt2;} // for bkwds compatibility
  inline double  m2() const {return (_E+_pz)*(_E-_pz)-_kt2;}
  inline double  m() const;
  inline double mperp2() const {return (_E+_pz)*(_E-_pz);}
  inline double mperp() const {return sqrt(std::abs(mperp2()));}
  inline double mt2() const {return (_E+_pz)*(_E-_pz);}
  inline double mt() const {return sqrt(std::abs(mperp2()));}
  inline double modp2() const {return _kt2+_pz*_pz;}
  inline double modp() const {return sqrt(_kt2+_pz*_pz);}
  inline double Et() const {return (_kt2==0) ? 0.0 : _E/sqrt(1.0+_pz*_pz/_kt2);}
  inline double Et2() const {return (_kt2==0) ? 0.0 : _E*_E/(1.0+_pz*_pz/_kt2);}
  double operator () (int i) const ;
  inline double operator [] (int i) const { return (*this)(i); }; // this too
  double kt_distance(const PseudoJet & other) const;
  double plain_distance(const PseudoJet & other) const;
  inline double squared_distance(const PseudoJet & other) const {
    return plain_distance(other);}
  inline double delta_R(const PseudoJet & other) const {
    return sqrt(squared_distance(other));
  }
  double delta_phi_to(const PseudoJet & other) const;
  inline double beam_distance() const {return _kt2;}
  std::valarray four_mom() const;
  enum { X=0, Y=1, Z=2, T=3, NUM_COORDINATES=4, SIZE=NUM_COORDINATES };
  PseudoJet & boost(const PseudoJet & prest);
  PseudoJet & unboost(const PseudoJet & prest);
  void operator*=(double);
  void operator/=(double);
  void operator+=(const PseudoJet &);
  void operator-=(const PseudoJet &);
  inline void reset(double px, double py, double pz, double E);
  inline void reset(const PseudoJet & psjet) {
    (*this) = psjet;
  }
  template  inline void reset(const L & some_four_vector) {
    const PseudoJet * pj = fjcore::cast_if_derived(&some_four_vector);
    if (pj){
      (*this) = *pj;
    } else {
      reset(some_four_vector[0], some_four_vector[1],
	    some_four_vector[2], some_four_vector[3]);
    }
  }
  inline void reset_PtYPhiM(double pt_in, double y_in, double phi_in, double m_in=0.0) {
    reset_momentum_PtYPhiM(pt_in, y_in, phi_in, m_in);
    _reset_indices();
  }
  inline void reset_momentum(double px, double py, double pz, double E);
  inline void reset_momentum(const PseudoJet & pj);
  void reset_momentum_PtYPhiM(double pt, double y, double phi, double m=0.0);
  template  inline void reset_momentum(const L & some_four_vector) {
    reset_momentum(some_four_vector[0], some_four_vector[1],
		   some_four_vector[2], some_four_vector[3]);
  }
  void set_cached_rap_phi(double rap, double phi);
  inline int user_index() const {return _user_index;}
  inline void set_user_index(const int index) {_user_index = index;}
  class UserInfoBase{
  public:
    UserInfoBase(){};
    virtual ~UserInfoBase(){};
  };
  class InexistentUserInfo : public Error {
  public:
    InexistentUserInfo();
  };
  void set_user_info(UserInfoBase * user_info_in) {
    _user_info.reset(user_info_in);
  }
  template
  const L & user_info() const{
    if (_user_info.get() == 0) throw InexistentUserInfo();
    return dynamic_cast(* _user_info.get());
  }
  bool has_user_info() const{
    return _user_info.get();
  }
  template
  bool has_user_info() const{
    return _user_info.get() && dynamic_cast(_user_info.get());
  }
  const UserInfoBase * user_info_ptr() const{
    if (!_user_info()) return NULL;
    return _user_info.get();
  }
  const SharedPtr & user_info_shared_ptr() const{
    return _user_info;
  }
  SharedPtr & user_info_shared_ptr(){
    return _user_info;
  }
  std::string description() const;
  bool has_associated_cluster_sequence() const;
  bool has_associated_cs() const {return has_associated_cluster_sequence();}
  bool has_valid_cluster_sequence() const;
  bool has_valid_cs() const {return has_valid_cluster_sequence();}
  const ClusterSequence* associated_cluster_sequence() const;
  const ClusterSequence* associated_cs() const {return associated_cluster_sequence();}
  inline const ClusterSequence * validated_cluster_sequence() const {
    return validated_cs();
  }
  const ClusterSequence * validated_cs() const;
  void set_structure_shared_ptr(const SharedPtr &structure);
  bool has_structure() const;
  const PseudoJetStructureBase* structure_ptr() const;
  PseudoJetStructureBase* structure_non_const_ptr();
  const PseudoJetStructureBase* validated_structure_ptr() const;
  const SharedPtr & structure_shared_ptr() const;
  template
  const StructureType & structure() const;
  template
  bool has_structure_of() const;
  template
  const typename TransformerType::StructureType & structure_of() const;
  virtual bool has_partner(PseudoJet &partner) const;
  virtual bool has_child(PseudoJet &child) const;
  virtual bool has_parents(PseudoJet &parent1, PseudoJet &parent2) const;
  virtual bool contains(const PseudoJet &constituent) const;
  virtual bool is_inside(const PseudoJet &jet) const;
  virtual bool has_constituents() const;
  virtual std::vector constituents() const;
  virtual bool has_exclusive_subjets() const;
  std::vector exclusive_subjets (const double & dcut) const;
  int n_exclusive_subjets(const double & dcut) const;
  std::vector exclusive_subjets (int nsub) const;
  std::vector exclusive_subjets_up_to (int nsub) const;
  double exclusive_subdmerge(int nsub) const;
  double exclusive_subdmerge_max(int nsub) const;
  virtual bool has_pieces() const;
  virtual std::vector pieces() const;
  inline int cluster_hist_index() const {return _cluster_hist_index;}
  inline void set_cluster_hist_index(const int index) {_cluster_hist_index = index;}
  inline int cluster_sequence_history_index() const {
    return cluster_hist_index();}
  inline void set_cluster_sequence_history_index(const int index) {
    set_cluster_hist_index(index);}
 protected:
  SharedPtr _structure;
  SharedPtr _user_info;
 private:
  double _px,_py,_pz,_E;
  mutable double _phi, _rap;
  double _kt2;
  int    _cluster_hist_index, _user_index;
  void _finish_init();
  void _reset_indices();
  inline void _ensure_valid_rap_phi() const {
    if (_phi == pseudojet_invalid_phi) _set_rap_phi();
  }
  void _set_rap_phi() const;
};
PseudoJet operator+(const PseudoJet &, const PseudoJet &);
PseudoJet operator-(const PseudoJet &, const PseudoJet &);
PseudoJet operator*(double, const PseudoJet &);
PseudoJet operator*(const PseudoJet &, double);
PseudoJet operator/(const PseudoJet &, double);
bool operator==(const PseudoJet &, const PseudoJet &);
inline bool operator!=(const PseudoJet & a, const PseudoJet & b) {return !(a==b);}
bool operator==(const PseudoJet & jet, const double val);
inline bool operator!=(const PseudoJet & a, const double & val) {return !(a==val);}
inline double dot_product(const PseudoJet & a, const PseudoJet & b) {
  return a.E()*b.E() - a.px()*b.px() - a.py()*b.py() - a.pz()*b.pz();
}
bool have_same_momentum(const PseudoJet &, const PseudoJet &);
PseudoJet PtYPhiM(double pt, double y, double phi, double m = 0.0);
std::vector sorted_by_pt(const std::vector & jets);
std::vector sorted_by_rapidity(const std::vector & jets);
std::vector sorted_by_E(const std::vector & jets);
std::vector sorted_by_pz(const std::vector & jets);
void sort_indices(std::vector & indices,
		  const std::vector & values);
template std::vector objects_sorted_by_values(const std::vector & objects,
					      const std::vector & values);
class IndexedSortHelper {
public:
  inline IndexedSortHelper (const std::vector * reference_values) {
    _ref_values = reference_values;
  };
  inline int operator() (const int & i1, const int & i2) const {
    return  (*_ref_values)[i1] < (*_ref_values)[i2];
  };
private:
  const std::vector * _ref_values;
};
template  inline  PseudoJet::PseudoJet(const L & some_four_vector) {
  reset(some_four_vector);
}
inline void PseudoJet::_reset_indices() {
  set_cluster_hist_index(-1);
  set_user_index(-1);
  _structure.reset();
  _user_info.reset();
}
inline double PseudoJet::m() const {
  double mm = m2();
  return mm < 0.0 ? -std::sqrt(-mm) : std::sqrt(mm);
}
inline void PseudoJet::reset(double px_in, double py_in, double pz_in, double E_in) {
  _px = px_in;
  _py = py_in;
  _pz = pz_in;
  _E  = E_in;
  _finish_init();
  _reset_indices();
}
inline void PseudoJet::reset_momentum(double px_in, double py_in, double pz_in, double E_in) {
  _px = px_in;
  _py = py_in;
  _pz = pz_in;
  _E  = E_in;
  _finish_init();
}
inline void PseudoJet::reset_momentum(const PseudoJet & pj) {
  _px  = pj._px ;
  _py  = pj._py ;
  _pz  = pj._pz ;
  _E   = pj._E  ;
  _phi = pj._phi;
  _rap = pj._rap;
  _kt2 = pj._kt2;
}
template
const StructureType & PseudoJet::structure() const{
  return dynamic_cast(* validated_structure_ptr());
}
template
bool PseudoJet::has_structure_of() const{
  if (!_structure()) return false;
  return dynamic_cast(_structure.get()) != 0;
}
template
const typename TransformerType::StructureType & PseudoJet::structure_of() const{
  if (!_structure())
    throw Error("Trying to access the structure of a PseudoJet without an associated structure");
  return dynamic_cast(*_structure);
}
PseudoJet join(const std::vector & pieces);
PseudoJet join(const PseudoJet & j1);
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2);
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3);
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3, const PseudoJet & j4);
FJCORE_END_NAMESPACE
#endif // __FJCORE_PSEUDOJET_HH__
#ifndef __FJCORE_FUNCTION_OF_PSEUDOJET_HH__
#define __FJCORE_FUNCTION_OF_PSEUDOJET_HH__
FJCORE_BEGIN_NAMESPACE
template
class FunctionOfPseudoJet{
public:
  FunctionOfPseudoJet(){}
  FunctionOfPseudoJet(const TOut &constant_value);
  virtual ~FunctionOfPseudoJet(){}
  virtual std::string description() const{ return "";}
  virtual TOut result(const PseudoJet &pj) const = 0;
  TOut operator()(const PseudoJet &pj) const { return result(pj);}
  std::vector operator()(const std::vector &pjs) const {
    std::vector res(pjs.size());
    for (unsigned int i=0; i
#include 
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class Selector;
class SelectorWorker {
public:
  virtual ~SelectorWorker() {}
  virtual bool pass(const PseudoJet & jet) const = 0;
  virtual void terminator(std::vector & jets) const {
    for (unsigned i = 0; i < jets.size(); i++) {
      if (jets[i] && !pass(*jets[i])) jets[i] = NULL;
    }
  }
  virtual bool applies_jet_by_jet() const {return true;}
  virtual std::string description() const {return "missing description";}
  virtual bool takes_reference() const { return false;}
  virtual void set_reference(const PseudoJet & /*reference*/){
    throw Error("set_reference(...) cannot be used for a selector worker that does not take a reference");
  }
  virtual SelectorWorker* copy(){
    throw Error("this SelectorWorker has nothing to copy");
  }
  virtual void get_rapidity_extent(double & rapmin, double & rapmax) const {
    rapmax = std::numeric_limits::infinity();
    rapmin = -rapmax;
  }
  virtual bool is_geometric() const { return false;}
  virtual bool has_finite_area() const;
  virtual bool has_known_area() const { return false;}
  virtual double known_area() const{
    throw Error("this selector has no computable area");
  }
};
class Selector{
public:
  Selector() {}
  Selector(SelectorWorker * worker_in) {_worker.reset(worker_in);}
  virtual ~Selector(){}
  bool pass(const PseudoJet & jet) const {
    if (!validated_worker()->applies_jet_by_jet()) {
      throw Error("Cannot apply this selector to an individual jet");
    }
    return _worker->pass(jet);
  }
  bool operator()(const PseudoJet & jet) const {
    return pass(jet);
  }
  unsigned int count(const std::vector & jets) const;
  void sift(const std::vector & jets,
		  std::vector & jets_that_pass,
		  std::vector & jets_that_fail) const;
  bool applies_jet_by_jet() const {
    return validated_worker()->applies_jet_by_jet();
  }
  std::vector operator()(const std::vector & jets) const;
  virtual void nullify_non_selected(std::vector & jets) const {
    validated_worker()->terminator(jets);
  }
  void get_rapidity_extent(double &rapmin, double &rapmax) const {
    return validated_worker()->get_rapidity_extent(rapmin, rapmax);
  }
  std::string description() const {
    return validated_worker()->description();
  }
  bool is_geometric() const{
    return validated_worker()->is_geometric();
  }
  bool has_finite_area() const{
    return validated_worker()->has_finite_area();
  }
  const SharedPtr & worker() const {return _worker;}
  const SelectorWorker* validated_worker() const {
    const SelectorWorker* worker_ptr = _worker.get();
    if (worker_ptr == 0) throw InvalidWorker();
    return worker_ptr;
  }
  bool takes_reference() const {
    return validated_worker()->takes_reference();
  }
  const Selector & set_reference(const PseudoJet &reference){
    if (! validated_worker()->takes_reference()){
      return *this;
    }
    _copy_worker_if_needed();
    _worker->set_reference(reference);
    return *this;
  }
  class InvalidWorker : public Error {
  public:
    InvalidWorker() : Error("Attempt to use Selector with no valid underlying worker") {}
  };
  class InvalidArea : public Error {
  public:
    InvalidArea() : Error("Attempt to obtain area from Selector for which this is not meaningful") {}
  };
  Selector & operator &=(const Selector & b);
  Selector & operator |=(const Selector & b);
protected:
  void _copy_worker_if_needed(){
    if (_worker.unique()) return;
    _worker.reset(_worker->copy());
  }
private:
  SharedPtr _worker; ///< the underlying worker
};
Selector SelectorIdentity();
Selector operator!(const Selector & s);
Selector operator ||(const Selector & s1, const Selector & s2);
Selector operator&&(const Selector & s1, const Selector & s2);
Selector operator*(const Selector & s1, const Selector & s2);
Selector SelectorPtMin(double ptmin);                    ///< select objects with pt >= ptmin
Selector SelectorPtMax(double ptmax);                    ///< select objects with pt <= ptmax
Selector SelectorPtRange(double ptmin, double ptmax);    ///< select objects with ptmin <= pt <= ptmax
Selector SelectorEtMin(double Etmin);                    ///< select objects with Et >= Etmin
Selector SelectorEtMax(double Etmax);                    ///< select objects with Et <= Etmax
Selector SelectorEtRange(double Etmin, double Etmax);    ///< select objects with Etmin <= Et <= Etmax
Selector SelectorEMin(double Emin);                      ///< select objects with E >= Emin
Selector SelectorEMax(double Emax);                      ///< select objects with E <= Emax
Selector SelectorERange(double Emin, double Emax);       ///< select objects with Emin <= E <= Emax
Selector SelectorMassMin(double Mmin);                      ///< select objects with Mass >= Mmin
Selector SelectorMassMax(double Mmax);                      ///< select objects with Mass <= Mmax
Selector SelectorMassRange(double Mmin, double Mmax);       ///< select objects with Mmin <= Mass <= Mmax
Selector SelectorRapMin(double rapmin);                  ///< select objects with rap >= rapmin
Selector SelectorRapMax(double rapmax);                  ///< select objects with rap <= rapmax
Selector SelectorRapRange(double rapmin, double rapmax); ///< select objects with rapmin <= rap <= rapmax
Selector SelectorAbsRapMin(double absrapmin);                     ///< select objects with |rap| >= absrapmin
Selector SelectorAbsRapMax(double absrapmax);                     ///< select objects with |rap| <= absrapmax
Selector SelectorAbsRapRange(double absrapmin, double absrapmax); ///< select objects with absrapmin <= |rap| <= absrapmax
Selector SelectorEtaMin(double etamin);                  ///< select objects with eta >= etamin
Selector SelectorEtaMax(double etamax);                  ///< select objects with eta <= etamax
Selector SelectorEtaRange(double etamin, double etamax); ///< select objects with etamin <= eta <= etamax
Selector SelectorAbsEtaMin(double absetamin);                     ///< select objects with |eta| >= absetamin
Selector SelectorAbsEtaMax(double absetamax);                     ///< select objects with |eta| <= absetamax
Selector SelectorAbsEtaRange(double absetamin, double absetamax); ///< select objects with absetamin <= |eta| <= absetamax
Selector SelectorPhiRange(double phimin, double phimax); ///< select objects with phimin <= phi <= phimax
Selector SelectorRapPhiRange(double rapmin, double rapmax, double phimin, double phimax);
Selector SelectorNHardest(unsigned int n);
Selector SelectorCircle(const double & radius);
Selector SelectorDoughnut(const double & radius_in, const double & radius_out);
Selector SelectorStrip(const double & half_width);
Selector SelectorRectangle(const double & half_rap_width, const double & half_phi_width);
Selector SelectorPtFractionMin(double fraction);
Selector SelectorIsZero();
FJCORE_END_NAMESPACE      // defined in fastjet/internal/base.hh
#endif // __FJCORE_SELECTOR_HH__
#ifndef __FJCORE_JETDEFINITION_HH__
#define __FJCORE_JETDEFINITION_HH__
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
std::string fastjet_version_string();
enum Strategy {
  N2MinHeapTiled   = -4,
  N2Tiled     = -3,
  N2PoorTiled = -2,
  N2Plain     = -1,
  N3Dumb      =  0,
  Best        =  1,
  NlnN        =  2,
  NlnN3pi     =  3,
  NlnN4pi     =  4,
  NlnNCam4pi   = 14,
  NlnNCam2pi2R = 13,
  NlnNCam      = 12, // 2piMultD
  plugin_strategy = 999
};
enum JetAlgorithm {
  kt_algorithm=0,
  cambridge_algorithm=1,
  antikt_algorithm=2,
  genkt_algorithm=3,
  cambridge_for_passive_algorithm=11,
  genkt_for_passive_algorithm=13,
  ee_kt_algorithm=50,
  ee_genkt_algorithm=53,
  plugin_algorithm = 99,
  undefined_jet_algorithm = 999
};
typedef JetAlgorithm JetFinder;
const JetAlgorithm aachen_algorithm = cambridge_algorithm;
const JetAlgorithm cambridge_aachen_algorithm = cambridge_algorithm;
enum RecombinationScheme {
  E_scheme=0,
  pt_scheme=1,
  pt2_scheme=2,
  Et_scheme=3,
  Et2_scheme=4,
  BIpt_scheme=5,
  BIpt2_scheme=6,
  external_scheme = 99
};
class ClusterSequence;
class JetDefinition {
public:
  class Plugin;
  class Recombiner;
  JetDefinition(JetAlgorithm jet_algorithm_in,
                double R_in,
                RecombinationScheme recomb_scheme_in = E_scheme,
                Strategy strategy_in = Best) {
    *this = JetDefinition(jet_algorithm_in, R_in, strategy_in, recomb_scheme_in, 1);
  }
  JetDefinition(JetAlgorithm jet_algorithm_in,
                RecombinationScheme recomb_scheme_in = E_scheme,
                Strategy strategy_in = Best) {
    double dummyR = 0.0;
    *this = JetDefinition(jet_algorithm_in, dummyR, strategy_in, recomb_scheme_in, 0);
  }
  JetDefinition(JetAlgorithm jet_algorithm_in,
                double R_in,
                double xtra_param_in,
                RecombinationScheme recomb_scheme_in = E_scheme,
                Strategy strategy_in = Best) {
    *this = JetDefinition(jet_algorithm_in, R_in, strategy_in, recomb_scheme_in, 2);
    set_extra_param(xtra_param_in);
  }
  JetDefinition(JetAlgorithm jet_algorithm_in,
                double R_in,
                const Recombiner * recombiner_in,
                Strategy strategy_in = Best) {
    *this = JetDefinition(jet_algorithm_in, R_in, external_scheme, strategy_in);
    _recombiner = recombiner_in;
  }
  JetDefinition(JetAlgorithm jet_algorithm_in,
                const Recombiner * recombiner_in,
                Strategy strategy_in = Best) {
    *this = JetDefinition(jet_algorithm_in, external_scheme, strategy_in);
    _recombiner = recombiner_in;
  }
  JetDefinition(JetAlgorithm jet_algorithm_in,
                double R_in,
                double xtra_param_in,
                const Recombiner * recombiner_in,
                Strategy strategy_in = Best) {
    *this = JetDefinition(jet_algorithm_in, R_in, external_scheme, strategy_in);
    _recombiner = recombiner_in;
    set_extra_param(xtra_param_in);
  }
  JetDefinition()  {
    *this = JetDefinition(undefined_jet_algorithm, 1.0);
  }
  JetDefinition(const Plugin * plugin_in) {
    _plugin = plugin_in;
    _strategy = plugin_strategy;
    _Rparam = _plugin->R();
    _jet_algorithm = plugin_algorithm;
    set_recombination_scheme(E_scheme);
  }
  JetDefinition(JetAlgorithm jet_algorithm_in,
                double R_in,
                Strategy strategy_in,
                RecombinationScheme recomb_scheme_in = E_scheme,
                int nparameters_in = 1);
  static const double max_allowable_R; //= 1000.0;
  void set_recombination_scheme(RecombinationScheme);
  void set_recombiner(const Recombiner * recomb) {
    if (_recombiner_shared()) _recombiner_shared.reset(recomb);
    _recombiner = recomb;
    _default_recombiner = DefaultRecombiner(external_scheme);
  }
  void delete_recombiner_when_unused();
  const Plugin * plugin() const {return _plugin;};
  void delete_plugin_when_unused();
  JetAlgorithm jet_algorithm  () const {return _jet_algorithm  ;}
  JetAlgorithm jet_finder     () const {return _jet_algorithm  ;}
  double    R           () const {return _Rparam      ;}
  double    extra_param () const {return _extra_param ;}
  Strategy  strategy    () const {return _strategy    ;}
  RecombinationScheme recombination_scheme() const {
    return _default_recombiner.scheme();}
  void set_jet_algorithm(JetAlgorithm njf) {_jet_algorithm = njf;}
  void set_jet_finder(JetAlgorithm njf)    {_jet_algorithm = njf;}
  void set_extra_param(double xtra_param) {_extra_param = xtra_param;}
  const Recombiner * recombiner() const {
    return _recombiner == 0 ? & _default_recombiner : _recombiner;}
  bool has_same_recombiner(const JetDefinition &other_jd) const;
  std::string description() const;
public:
  class Recombiner {
  public:
    virtual std::string description() const = 0;
    virtual void recombine(const PseudoJet & pa, const PseudoJet & pb,
                           PseudoJet & pab) const = 0;
    virtual void preprocess(PseudoJet & ) const {};
    virtual ~Recombiner() {};
    inline void plus_equal(PseudoJet & pa, const PseudoJet & pb) const {
      PseudoJet pres;
      recombine(pa,pb,pres);
      pa = pres;
    }
  };
  class DefaultRecombiner : public Recombiner {
  public:
    DefaultRecombiner(RecombinationScheme recomb_scheme = E_scheme) :
      _recomb_scheme(recomb_scheme) {}
    virtual std::string description() const;
    virtual void recombine(const PseudoJet & pa, const PseudoJet & pb,
                           PseudoJet & pab) const;
    virtual void preprocess(PseudoJet & p) const;
    RecombinationScheme scheme() const {return _recomb_scheme;}
  private:
    RecombinationScheme _recomb_scheme;
  };
  class Plugin{
  public:
    virtual std::string description() const = 0;
    virtual void run_clustering(ClusterSequence &) const = 0;
    virtual double R() const = 0;
    virtual bool supports_ghosted_passive_areas() const {return false;}
    virtual void set_ghost_separation_scale(double scale) const;
    virtual double ghost_separation_scale() const {return 0.0;}
    virtual bool exclusive_sequence_meaningful() const {return false;}
    virtual ~Plugin() {};
  };
private:
  JetAlgorithm _jet_algorithm;
  double    _Rparam;
  double    _extra_param ; ///< parameter whose meaning varies according to context
  Strategy  _strategy  ;
  const Plugin * _plugin;
  SharedPtr _plugin_shared;
  DefaultRecombiner _default_recombiner;
  const Recombiner * _recombiner;
  SharedPtr _recombiner_shared;
};
PseudoJet join(const std::vector & pieces, const JetDefinition::Recombiner & recombiner);
PseudoJet join(const PseudoJet & j1,
	       const JetDefinition::Recombiner & recombiner);
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
	       const JetDefinition::Recombiner & recombiner);
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3,
	       const JetDefinition::Recombiner & recombiner);
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3, const PseudoJet & j4,
	       const JetDefinition::Recombiner & recombiner);
FJCORE_END_NAMESPACE
#endif // __FJCORE_JETDEFINITION_HH__
#ifndef __FJCORE_COMPOSITEJET_STRUCTURE_HH__
#define __FJCORE_COMPOSITEJET_STRUCTURE_HH__
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class CompositeJetStructure : public PseudoJetStructureBase{
public:
  CompositeJetStructure() : _area_4vector_ptr(0){};
  CompositeJetStructure(const std::vector & initial_pieces,
			const JetDefinition::Recombiner * recombiner = 0);
  virtual ~CompositeJetStructure(){
    if (_area_4vector_ptr) delete _area_4vector_ptr;
  };
  virtual std::string description() const;
  virtual bool has_constituents() const;
  virtual std::vector constituents(const PseudoJet &jet) const;
  virtual bool has_pieces(const PseudoJet & /*jet*/) const {return true;}
  virtual std::vector pieces(const PseudoJet &jet) const;
protected:
  std::vector _pieces;  ///< the pieces building the jet
  PseudoJet * _area_4vector_ptr;   ///< pointer to the 4-vector jet area
};
template PseudoJet join(const std::vector & pieces){
  PseudoJet result(0.0,0.0,0.0,0.0);
  for (unsigned int i=0; i(cj_struct));
  return result;
}
template PseudoJet join(const PseudoJet & j1){
  return join(std::vector(1,j1));
}
template PseudoJet join(const PseudoJet & j1, const PseudoJet & j2){
  std::vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  return join(pieces);
}
template PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
				    const PseudoJet & j3){
  std::vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  return join(pieces);
}
template PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
				    const PseudoJet & j3, const PseudoJet & j4){
  std::vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  pieces.push_back(j4);
  return join(pieces);
}
template PseudoJet join(const std::vector & pieces,
				    const JetDefinition::Recombiner & recombiner){
  PseudoJet result;
  if (pieces.size()>0){
    result = pieces[0];
    for (unsigned int i=1; i(cj_struct));
  return result;
}
template PseudoJet join(const PseudoJet & j1,
				    const JetDefinition::Recombiner & recombiner){
  return join(std::vector(1,j1), recombiner);
}
template PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
				    const JetDefinition::Recombiner & recombiner){
  std::vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  return join(pieces, recombiner);
}
template PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
				    const PseudoJet & j3,
				    const JetDefinition::Recombiner & recombiner){
  std::vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  return join(pieces, recombiner);
}
template PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
				    const PseudoJet & j3, const PseudoJet & j4,
				    const JetDefinition::Recombiner & recombiner){
  std::vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  pieces.push_back(j4);
  return join(pieces, recombiner);
}
FJCORE_END_NAMESPACE      // defined in fastjet/internal/base.hh
#endif // __FJCORE_MERGEDJET_STRUCTURE_HH__
#ifndef __FJCORE_CLUSTER_SEQUENCE_STRUCTURE_HH__
#define __FJCORE_CLUSTER_SEQUENCE_STRUCTURE_HH__
#include 
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class ClusterSequenceStructure : public PseudoJetStructureBase{
public:
  ClusterSequenceStructure() : _associated_cs(NULL){}
  ClusterSequenceStructure(const ClusterSequence *cs){
    set_associated_cs(cs);
  };
  virtual ~ClusterSequenceStructure();
  virtual std::string description() const{ return "PseudoJet with an associated ClusterSequence"; }
  virtual bool has_associated_cluster_sequence() const{ return true;}
  virtual const ClusterSequence* associated_cluster_sequence() const;
  virtual bool has_valid_cluster_sequence() const;
  virtual const ClusterSequence * validated_cs() const;
  virtual void set_associated_cs(const ClusterSequence * new_cs){
    _associated_cs = new_cs;
  }
  virtual bool has_partner(const PseudoJet &reference, PseudoJet &partner) const;
  virtual bool has_child(const PseudoJet &reference, PseudoJet &child) const;
  virtual bool has_parents(const PseudoJet &reference, PseudoJet &parent1, PseudoJet &parent2) const;
  virtual bool object_in_jet(const PseudoJet &reference, const PseudoJet &jet) const;
  virtual bool has_constituents() const;
  virtual std::vector constituents(const PseudoJet &reference) const;
  virtual bool has_exclusive_subjets() const;
  virtual std::vector exclusive_subjets(const PseudoJet &reference, const double & dcut) const;
  virtual int n_exclusive_subjets(const PseudoJet &reference, const double & dcut) const;
  virtual std::vector exclusive_subjets_up_to (const PseudoJet &reference, int nsub) const;
  virtual double exclusive_subdmerge(const PseudoJet &reference, int nsub) const;
  virtual double exclusive_subdmerge_max(const PseudoJet &reference, int nsub) const;
  virtual bool has_pieces(const PseudoJet &reference) const;
  virtual std::vector pieces(const PseudoJet &reference) const;
protected:
  const ClusterSequence *_associated_cs;
};
FJCORE_END_NAMESPACE
#endif  //  __FJCORE_CLUSTER_SEQUENCE_STRUCTURE_HH__
#ifndef __FJCORE_CLUSTERSEQUENCE_HH__
#define __FJCORE_CLUSTERSEQUENCE_HH__
#include
#include
#include
#include
#include
#include
#include
#include // needed to get double std::abs(double)
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class ClusterSequenceStructure;
class DynamicNearestNeighbours;
class ClusterSequence {
 public:
  ClusterSequence () : _deletes_self_when_unused(false) {}
  template ClusterSequence (
			          const std::vector & pseudojets,
				  const JetDefinition & jet_def,
				  const bool & writeout_combinations = false);
  ClusterSequence (const ClusterSequence & cs) : _deletes_self_when_unused(false) {
    transfer_from_sequence(cs);
  }
  virtual ~ClusterSequence (); //{}
  std::vector inclusive_jets (const double & ptmin = 0.0) const;
  int n_exclusive_jets (const double & dcut) const;
  std::vector exclusive_jets (const double & dcut) const;
  std::vector exclusive_jets (const int & njets) const;
  std::vector exclusive_jets_up_to (const int & njets) const;
  double exclusive_dmerge (const int & njets) const;
  double exclusive_dmerge_max (const int & njets) const;
  double exclusive_ymerge (int njets) const {return exclusive_dmerge(njets) / Q2();}
  double exclusive_ymerge_max (int njets) const {return exclusive_dmerge_max(njets)/Q2();}
  int n_exclusive_jets_ycut (double ycut) const {return n_exclusive_jets(ycut*Q2());}
  std::vector exclusive_jets_ycut (double ycut) const {
    int njets = n_exclusive_jets_ycut(ycut);
    return exclusive_jets(njets);
  }
  std::vector exclusive_subjets (const PseudoJet & jet,
                                            const double & dcut) const;
  int n_exclusive_subjets(const PseudoJet & jet,
                          const double & dcut) const;
  std::vector exclusive_subjets (const PseudoJet & jet,
                                            int nsub) const;
  std::vector exclusive_subjets_up_to (const PseudoJet & jet,
						  int nsub) const;
  double exclusive_subdmerge(const PseudoJet & jet, int nsub) const;
  double exclusive_subdmerge_max(const PseudoJet & jet, int nsub) const;
  double Q() const {return _Qtot;}
  double Q2() const {return _Qtot*_Qtot;}
  bool object_in_jet(const PseudoJet & object, const PseudoJet & jet) const;
  bool has_parents(const PseudoJet & jet, PseudoJet & parent1,
               PseudoJet & parent2) const;
  bool has_child(const PseudoJet & jet, PseudoJet & child) const;
  bool has_child(const PseudoJet & jet, const PseudoJet * & childp) const;
  bool has_partner(const PseudoJet & jet, PseudoJet & partner) const;
  std::vector constituents (const PseudoJet & jet) const;
  void print_jets_for_root(const std::vector & jets,
                           std::ostream & ostr = std::cout) const;
  void print_jets_for_root(const std::vector & jets,
                           const std::string & filename,
			   const std::string & comment = "") const;
  void add_constituents (const PseudoJet & jet,
			 std::vector & subjet_vector) const;
  inline Strategy strategy_used () const {return _strategy;}
  std::string strategy_string () const {return strategy_string(_strategy);}
  std::string strategy_string (Strategy strategy_in) const;
  const JetDefinition & jet_def() const {return _jet_def;}
  void delete_self_when_unused();
  bool will_delete_self_when_unused() const {return _deletes_self_when_unused;}
  void signal_imminent_self_deletion() const;
  double jet_scale_for_algorithm(const PseudoJet & jet) const;
  void plugin_record_ij_recombination(int jet_i, int jet_j, double dij,
				      int & newjet_k) {
    assert(plugin_activated());
    _do_ij_recombination_step(jet_i, jet_j, dij, newjet_k);
  }
  void plugin_record_ij_recombination(int jet_i, int jet_j, double dij,
				      const PseudoJet & newjet,
				      int & newjet_k);
  void plugin_record_iB_recombination(int jet_i, double diB) {
    assert(plugin_activated());
    _do_iB_recombination_step(jet_i, diB);
  }
  class Extras {
  public:
    virtual ~Extras() {}
    virtual std::string description() const {return "This is a dummy extras class that contains no extra information! Derive from it if you want to use it to provide extra information from a plugin jet finder";}
  };
  inline void plugin_associate_extras(std::auto_ptr extras_in) {
    _extras.reset(extras_in.release());
  }
  inline bool plugin_activated() const {return _plugin_activated;}
  const Extras * extras() const {return _extras.get();}
  template void plugin_simple_N2_cluster () {
    assert(plugin_activated());
    _simple_N2_cluster();
  }
public:
  struct history_element{
    int parent1; /// index in _history where first parent of this jet
    int parent2; /// index in _history where second parent of this jet
    int child;   /// index in _history where the current jet is
		 /// recombined with another jet to form its child. It
		 /// is Invalid if this jet does not further
		 /// recombine.
    int jetp_index; /// index in the _jets vector where we will find the
    double dij;  /// the distance corresponding to the recombination
		 /// at this stage of the clustering.
    double max_dij_so_far; /// the largest recombination distance seen
			   /// so far in the clustering history.
  };
  enum JetType {Invalid=-3, InexistentParent = -2, BeamJet = -1};
  const std::vector & jets()    const;
  const std::vector & history() const;
  unsigned int n_particles() const;
  std::vector particle_jet_indices(const std::vector &) const;
  std::vector unique_history_order() const;
  std::vector unclustered_particles() const;
  std::vector childless_pseudojets() const;
  bool contains(const PseudoJet & object) const;
  void transfer_from_sequence(const ClusterSequence & from_seq,
			      const FunctionOfPseudoJet * action_on_jets = 0);
  const SharedPtr & structure_shared_ptr() const{
    return _structure_shared_ptr;
  }
  typedef ClusterSequenceStructure StructureType;
  static void print_banner();
  static void set_fastjet_banner_stream(std::ostream * ostr) {_fastjet_banner_ostr = ostr;}
  static std::ostream * fastjet_banner_stream() {return _fastjet_banner_ostr;}
private:
  static std::ostream * _fastjet_banner_ostr;
protected:
  JetDefinition _jet_def;
  template void _transfer_input_jets(
                                     const std::vector & pseudojets);
  void _initialise_and_run (const JetDefinition & jet_def,
			    const bool & writeout_combinations);
  void _initialise_and_run_no_decant();
  void _decant_options(const JetDefinition & jet_def,
                       const bool & writeout_combinations);
  void _decant_options_partial();
  void _fill_initial_history();
  void _do_ij_recombination_step(const int & jet_i, const int & jet_j,
				 const double & dij, int & newjet_k);
  void _do_iB_recombination_step(const int & jet_i, const double & diB);
  void _set_structure_shared_ptr(PseudoJet & j);
  void _update_structure_use_count();
  std::vector _jets;
  std::vector _history;
  void get_subhist_set(std::set & subhist,
                       const  PseudoJet & jet, double dcut, int maxjet) const;
  bool _writeout_combinations;
  int  _initial_n;
  double _Rparam, _R2, _invR2;
  double _Qtot;
  Strategy    _strategy;
  JetAlgorithm  _jet_algorithm;
  SharedPtr _structure_shared_ptr; //< will actually be of type ClusterSequenceStructure
  int _structure_use_count_after_construction; //< info of use when CS handles its own memory
  mutable bool _deletes_self_when_unused;
 private:
  bool _plugin_activated;
  SharedPtr _extras; // things the plugin might want to add
  void _really_dumb_cluster ();
  void _delaunay_cluster ();
  template void _simple_N2_cluster ();
  void _tiled_N2_cluster ();
  void _faster_tiled_N2_cluster ();
  void _minheap_faster_tiled_N2_cluster();
  void _CP2DChan_cluster();
  void _CP2DChan_cluster_2pi2R ();
  void _CP2DChan_cluster_2piMultD ();
  void _CP2DChan_limited_cluster(double D);
  void _do_Cambridge_inclusive_jets();
  void _fast_NsqrtN_cluster();
  void _add_step_to_history(const int & step_number, const int & parent1,
			       const int & parent2, const int & jetp_index,
			       const double & dij);
  void _extract_tree_children(int pos, std::valarray &,
		const std::valarray &, std::vector &) const;
  void _extract_tree_parents (int pos, std::valarray &,
                const std::valarray &,  std::vector &) const;
  typedef std::pair TwoVertices;
  typedef std::pair DijEntry;
  typedef std::multimap DistMap;
  void _add_ktdistance_to_map(const int & ii,
			      DistMap & DijMap,
  			      const DynamicNearestNeighbours * DNN);
  static bool _first_time;
  static int _n_exclusive_warnings;
  static LimitedWarning _changed_strategy_warning;
  struct BriefJet {
    double     eta, phi, kt2, NN_dist;
    BriefJet * NN;
    int        _jets_index;
  };
  class TiledJet {
  public:
    double     eta, phi, kt2, NN_dist;
    TiledJet * NN, *previous, * next;
    int        _jets_index, tile_index, diJ_posn;
    inline void label_minheap_update_needed() {diJ_posn = 1;}
    inline void label_minheap_update_done()   {diJ_posn = 0;}
    inline bool minheap_update_needed() const {return diJ_posn==1;}
  };
  template  void _bj_set_jetinfo( J * const jet,
						 const int _jets_index) const;
  void _bj_remove_from_tiles( TiledJet * const jet) const;
  template  double _bj_dist(const J * const jeta,
			const J * const jetb) const;
  template  double _bj_diJ(const J * const jeta) const;
  template  inline J * _bj_of_hindex(
                          const int hist_index,
			  J * const head, J * const tail)
    const {
    J * res;
    for(res = head; res_jets_index].cluster_hist_index() == hist_index) {break;}
    }
    return res;
  }
  template  void _bj_set_NN_nocross(J * const jeta,
            J * const head, const J * const tail) const;
  template  void _bj_set_NN_crosscheck(J * const jeta,
            J * const head, const J * const tail) const;
  static const int n_tile_neighbours = 9;
  struct Tile {
    Tile *   begin_tiles[n_tile_neighbours];
    Tile **  surrounding_tiles;
    Tile **  RH_tiles;
    Tile **  end_tiles;
    TiledJet * head;
    bool     tagged;
  };
  std::vector _tiles;
  double _tiles_eta_min, _tiles_eta_max;
  double _tile_size_eta, _tile_size_phi;
  int    _n_tiles_phi,_tiles_ieta_min,_tiles_ieta_max;
  inline int _tile_index (int ieta, int iphi) const {
    return (ieta-_tiles_ieta_min)*_n_tiles_phi
                  + (iphi+_n_tiles_phi) % _n_tiles_phi;
  }
  int  _tile_index(const double & eta, const double & phi) const;
  void _tj_set_jetinfo ( TiledJet * const jet, const int _jets_index);
  void  _bj_remove_from_tiles(TiledJet * const jet);
  void _initialise_tiles();
  void _print_tiles(TiledJet * briefjets ) const;
  void _add_neighbours_to_tile_union(const int tile_index,
		 std::vector & tile_union, int & n_near_tiles) const;
  void _add_untagged_neighbours_to_tile_union(const int tile_index,
		 std::vector & tile_union, int & n_near_tiles);
  struct EEBriefJet {
    double NN_dist;  // obligatorily present
    double kt2;      // obligatorily present == E^2 in general
    EEBriefJet * NN; // must be present too
    int    _jets_index; // must also be present!
    double nx, ny, nz;  // our internal storage for fast distance calcs
  };
  void _simple_N2_cluster_BriefJet();
  void _simple_N2_cluster_EEBriefJet();
};
template void ClusterSequence::_transfer_input_jets(
                                       const std::vector & pseudojets) {
  _jets.reserve(pseudojets.size()*2);
  for (unsigned int i = 0; i < pseudojets.size(); i++) {
    _jets.push_back(pseudojets[i]);}
}
template ClusterSequence::ClusterSequence (
			          const std::vector & pseudojets,
				  const JetDefinition & jet_def_in,
				  const bool & writeout_combinations) :
  _jet_def(jet_def_in), _writeout_combinations(writeout_combinations),
  _structure_shared_ptr(new ClusterSequenceStructure(this))
{
  _transfer_input_jets(pseudojets);
  _decant_options_partial();
  _initialise_and_run_no_decant();
}
inline const std::vector & ClusterSequence::jets () const {
  return _jets;
}
inline const std::vector & ClusterSequence::history () const {
  return _history;
}
inline unsigned int ClusterSequence::n_particles() const {return _initial_n;}
template  inline void ClusterSequence::_bj_set_jetinfo(
                            J * const jetA, const int _jets_index) const {
    jetA->eta  = _jets[_jets_index].rap();
    jetA->phi  = _jets[_jets_index].phi_02pi();
    jetA->kt2  = jet_scale_for_algorithm(_jets[_jets_index]);
    jetA->_jets_index = _jets_index;
    jetA->NN_dist = _R2;
    jetA->NN      = NULL;
}
template  inline double ClusterSequence::_bj_dist(
                const J * const jetA, const J * const jetB) const {
  double dphi = std::abs(jetA->phi - jetB->phi);
  double deta = (jetA->eta - jetB->eta);
  if (dphi > pi) {dphi = twopi - dphi;}
  return dphi*dphi + deta*deta;
}
template  inline double ClusterSequence::_bj_diJ(const J * const jet) const {
  double kt2 = jet->kt2;
  if (jet->NN != NULL) {if (jet->NN->kt2 < kt2) {kt2 = jet->NN->kt2;}}
  return jet->NN_dist * kt2;
}
template  inline void ClusterSequence::_bj_set_NN_nocross(
                 J * const jet, J * const head, const J * const tail) const {
  double NN_dist = _R2;
  J * NN  = NULL;
  if (head < jet) {
    for (J * jetB = head; jetB != jet; jetB++) {
      double dist = _bj_dist(jet,jetB);
      if (dist < NN_dist) {
	NN_dist = dist;
	NN = jetB;
      }
    }
  }
  if (tail > jet) {
    for (J * jetB = jet+1; jetB != tail; jetB++) {
      double dist = _bj_dist(jet,jetB);
      if (dist < NN_dist) {
	NN_dist = dist;
	NN = jetB;
      }
    }
  }
  jet->NN = NN;
  jet->NN_dist = NN_dist;
}
template  inline void ClusterSequence::_bj_set_NN_crosscheck(J * const jet,
		    J * const head, const J * const tail) const {
  double NN_dist = _R2;
  J * NN  = NULL;
  for (J * jetB = head; jetB != tail; jetB++) {
    double dist = _bj_dist(jet,jetB);
    if (dist < NN_dist) {
      NN_dist = dist;
      NN = jetB;
    }
    if (dist < jetB->NN_dist) {
      jetB->NN_dist = dist;
      jetB->NN = jet;
    }
  }
  jet->NN = NN;
  jet->NN_dist = NN_dist;
}
FJCORE_END_NAMESPACE
#endif // __FJCORE_CLUSTERSEQUENCE_HH__
#ifndef __FJCORE_NNH_HH__
#define __FJCORE_NNH_HH__
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class _NoInfo {};
template class NNHInfo {
public:
  NNHInfo()         : _info(NULL) {}
  NNHInfo(I * info) : _info(info) {}
  template void init_jet(NNBJ * briefjet, const fjcore::PseudoJet & jet, int index) { briefjet->init(jet, index, _info);}
private:
  I * _info;
};
template<> class NNHInfo<_NoInfo>  {
public:
  NNHInfo()           {}
  NNHInfo(_NoInfo * ) {}
  template void init_jet(NNBJ * briefjet, const fjcore::PseudoJet & jet, int index) { briefjet->init(jet, index);}
};
template class NNH : public NNHInfo {
public:
  NNH(const std::vector & jets) {start(jets);}
  NNH(const std::vector & jets, I * info) : NNHInfo(info) {start(jets);}
  void start(const std::vector & jets);
  double dij_min(int & iA, int & iB);
  void remove_jet(int iA);
  void merge_jets(int iA, int iB, const PseudoJet & jet, int jet_index);
  ~NNH() {
    delete[] briefjets;
  }
private:
  class NNBJ; // forward declaration
  void set_NN_crosscheck(NNBJ * jet, NNBJ * begin, NNBJ * end);
  void set_NN_nocross   (NNBJ * jet, NNBJ * begin, NNBJ * end);
  NNBJ * briefjets;
  NNBJ * head, * tail;
  int n;
  std::vector where_is;
  class NNBJ : public BJ {
  public:
    void init(const PseudoJet & jet, int index_in) {
      BJ::init(jet);
      other_init(index_in);
    }
    void init(const PseudoJet & jet, int index_in, I * info) {
      BJ::init(jet, info);
      other_init(index_in);
    }
    void other_init(int index_in) {
      _index = index_in;
      NN_dist = BJ::beam_distance();
      NN = NULL;
    }
    int index() const {return _index;}
    double NN_dist;
    NNBJ * NN;
  private:
    int _index;
  };
};
template void NNH::start(const std::vector & jets) {
  n = jets.size();
  briefjets = new NNBJ[n];
  where_is.resize(2*n);
  NNBJ * jetA = briefjets;
  for (int i = 0; i< n; i++) {
    this->init_jet(jetA, jets[i], i);
    where_is[i] = jetA;
    jetA++; // move on to next entry of briefjets
  }
  tail = jetA; // a semaphore for the end of briefjets
  head = briefjets; // a nicer way of naming start
  for (jetA = head + 1; jetA != tail; jetA++) {
    set_NN_crosscheck(jetA, head, jetA);
  }
}
template double NNH::dij_min(int & iA, int & iB) {
  double diJ_min = briefjets[0].NN_dist;
  int diJ_min_jet = 0;
  for (int i = 1; i < n; i++) {
    if (briefjets[i].NN_dist < diJ_min) {
      diJ_min_jet = i;
      diJ_min  = briefjets[i].NN_dist;
    }
  }
  NNBJ * jetA = & briefjets[diJ_min_jet];
  iA = jetA->index();
  iB = jetA->NN ? jetA->NN->index() : -1;
  return diJ_min;
}
template void NNH::remove_jet(int iA) {
  NNBJ * jetA = where_is[iA];
  tail--; n--;
  *jetA = *tail;
  where_is[jetA->index()] = jetA;
  for (NNBJ * jetI = head; jetI != tail; jetI++) {
    if (jetI->NN == jetA) set_NN_nocross(jetI, head, tail);
    if (jetI->NN == tail) {jetI->NN = jetA;}
  }
}
template void NNH::merge_jets(int iA, int iB,
					const PseudoJet & jet, int index) {
  NNBJ * jetA = where_is[iA];
  NNBJ * jetB = where_is[iB];
  if (jetA < jetB) std::swap(jetA,jetB);
  this->init_jet(jetB, jet, index);
  if (index >= int(where_is.size())) where_is.resize(2*index);
  where_is[jetB->index()] = jetB;
  tail--; n--;
  *jetA = *tail;
  where_is[jetA->index()] = jetA;
  for (NNBJ * jetI = head; jetI != tail; jetI++) {
    if (jetI->NN == jetA || jetI->NN == jetB) {
      set_NN_nocross(jetI, head, tail);
    }
    double dist = jetI->distance(jetB);
    if (dist < jetI->NN_dist) {
      if (jetI != jetB) {
	jetI->NN_dist = dist;
	jetI->NN = jetB;
      }
    }
    if (dist < jetB->NN_dist) {
      if (jetI != jetB) {
	jetB->NN_dist = dist;
	jetB->NN      = jetI;
      }
    }
    if (jetI->NN == tail) {jetI->NN = jetA;}
  }
}
template  void NNH::set_NN_crosscheck(NNBJ * jet,
		    NNBJ * begin, NNBJ * end) {
  double NN_dist = jet->beam_distance();
  NNBJ * NN      = NULL;
  for (NNBJ * jetB = begin; jetB != end; jetB++) {
    double dist = jet->distance(jetB);
    if (dist < NN_dist) {
      NN_dist = dist;
      NN = jetB;
    }
    if (dist < jetB->NN_dist) {
      jetB->NN_dist = dist;
      jetB->NN = jet;
    }
  }
  jet->NN = NN;
  jet->NN_dist = NN_dist;
}
template   void NNH::set_NN_nocross(
                 NNBJ * jet, NNBJ * begin, NNBJ * end) {
  double NN_dist = jet->beam_distance();
  NNBJ * NN      = NULL;
  if (begin < jet) {
    for (NNBJ * jetB = begin; jetB != jet; jetB++) {
      double dist = jet->distance(jetB);
      if (dist < NN_dist) {
	NN_dist = dist;
	NN = jetB;
      }
    }
  }
  if (end > jet) {
    for (NNBJ * jetB = jet+1; jetB != end; jetB++) {
      double dist = jet->distance (jetB);
      if (dist < NN_dist) {
	NN_dist = dist;
	NN = jetB;
      }
    }
  }
  jet->NN = NN;
  jet->NN_dist = NN_dist;
}
FJCORE_END_NAMESPACE      // defined in fastjet/internal/base.hh
#endif // __FJCORE_NNH_HH__
#endif
pythia8-8.1.86.orig/include/Pythia8/Analysis.h0000644000175000017500000004152512357054733017264 0ustar  sunsun// Analysis.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the Sphericity, Thrust, ClusterJet and CellJet classes.
// Sphericity: sphericity analysis of the event.
// Thrust: thrust analysis of the event.
// ClusterJet: clustering jet finder.
// CellJet: calorimetric cone jet finder.
// SlowJet: recombination algorithm; lightweight version of FastJet.

#ifndef Pythia8_Analysis_H
#define Pythia8_Analysis_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================

// Sphericity class.
// This class performs (optionally modified) sphericity analysis on an event.

class Sphericity {

public:

  // Constructor.
  Sphericity(double powerIn = 2., int selectIn = 2) : power(powerIn),
    select(selectIn), nFew(0) {powerInt = 0;
    if (abs(power - 1.) < 0.01) powerInt = 1;
    if (abs(power - 2.) < 0.01) powerInt = 2;
    powerMod = 0.5 * power - 1.;}
  
  // Analyze event.
  bool analyze(const Event& event, ostream& os = cout);

  // Return info on results of analysis.
  double sphericity()      const {return 1.5 * (eVal2 + eVal3);}
  double aplanarity()      const {return 1.5 * eVal3;}
  double eigenValue(int i) const {return (i < 2) ? eVal1 :
    ( (i < 3) ? eVal2 : eVal3 ) ;}
  Vec4 eventAxis(int i)    const {return (i < 2) ? eVec1 :
    ( (i < 3) ? eVec2 : eVec3 ) ;}

  // Provide a listing of the info.
  void list(ostream& os = cout) const;

  // Tell how many events could not be analyzed.
  int nError() const {return nFew;}

private:

  // Constants: could only be changed in the code itself.
  static const int    NSTUDYMIN, TIMESTOPRINT;
  static const double P2MIN, EIGENVALUEMIN;

  // Properties of analysis.
  double power;
  int    select, powerInt;
  double powerMod;

  // Outcome of analysis.
  double eVal1, eVal2, eVal3;
  Vec4   eVec1, eVec2, eVec3;

  // Error statistics;
  int    nFew;

};

//==========================================================================

// Thrust class.
// This class performs thrust analysis on an event.

class Thrust {

public:

  // Constructor.
  Thrust(int selectIn = 2) : select(selectIn), nFew(0) {}
  
  // Analyze event.
  bool analyze(const Event& event, ostream& os = cout);

  // Return info on results of analysis.
  double thrust()       const {return eVal1;}
  double tMajor()       const {return eVal2;}
  double tMinor()       const {return eVal3;}
  double oblateness()   const {return eVal2 - eVal3;}
  Vec4 eventAxis(int i) const {return (i < 2) ? eVec1 :
    ( (i < 3) ? eVec2 : eVec3 ) ;}

  // Provide a listing of the info.
  void list(ostream& os = cout) const;

  // Tell how many events could not be analyzed.
  int nError() const {return nFew;}

private:

  // Constants: could only be changed in the code itself.
  static const int    NSTUDYMIN, TIMESTOPRINT;
  static const double MAJORMIN;

  // Properties of analysis.
  int    select;

  // Outcome of analysis.
  double eVal1, eVal2, eVal3;
  Vec4   eVec1, eVec2, eVec3;

  // Error statistics;
  int    nFew;

};

//==========================================================================

// SingleClusterJet class.
// Simple helper class to ClusterJet for a jet and its contents.

class SingleClusterJet {

public:

  // Constructors.
  SingleClusterJet(Vec4 pJetIn = 0., int motherIn = 0) :
    pJet(pJetIn), mother(motherIn), daughter(0), multiplicity(1),
    isAssigned(false) {pAbs = max( PABSMIN, pJet.pAbs());}
  SingleClusterJet& operator=(const SingleClusterJet& j) { if (this != &j)
    { pJet = j.pJet;  mother = j.mother; daughter = j.daughter;
    multiplicity = j.multiplicity; pAbs = j.pAbs;
    isAssigned = j.isAssigned;} return *this; }

  // Properties of jet.
  // Note: mother, daughter and isAssigned only used for original
  // particles, multiplicity and pTemp only for reconstructed jets.
  Vec4   pJet;
  int    mother, daughter, multiplicity;
  bool   isAssigned;
  double pAbs;
  Vec4   pTemp;

  // Distance measures (Lund, JADE, Durham) with friend.
  friend double dist2Fun(int measure, const SingleClusterJet& j1,
    const SingleClusterJet& j2);

private:

  // Constants: could only be changed in the code itself.
  static const double PABSMIN;

} ;

//--------------------------------------------------------------------------

// Namespace function declarations; friend of SingleClusterJet.

// Distance measures (Lund, JADE, Durham) with friend.
double dist2Fun(int measure, const SingleClusterJet& j1,
  const SingleClusterJet& j2);

//==========================================================================

// ClusterJet class.
// This class performs a jet clustering according to different
// distance measures: Lund, JADE or Durham.

class ClusterJet {

public:

  // Constructor.
  ClusterJet(string measureIn = "Lund", int selectIn = 2, int massSetIn = 2,
    bool preclusterIn = false, bool reassignIn = false) : measure(1),
    select(selectIn), massSet(massSetIn), doPrecluster(preclusterIn),
    doReassign(reassignIn), nFew(0) {
    char firstChar = toupper(measureIn[0]);
    if (firstChar == 'J') measure = 2;
    if (firstChar == 'D') measure = 3;
  }
      
  // Analyze event.
  bool analyze(const Event& event, double yScaleIn, double pTscaleIn,
    int nJetMinIn = 1, int nJetMaxIn = 0, ostream& os = cout);

  // Return info on jets produced.
  int  size()      const {return jets.size();}
  Vec4 p(int i)    const {return jets[i].pJet;}
  int  mult(int i) const {return jets[i].multiplicity;}

  // Return belonging of particle to one of the jets (-1 if none).
  int jetAssignment(int i) const {
    for (int iP = 0; iP < int(particles.size()); ++iP)
    if (particles[iP].mother == i) return particles[iP].daughter;
    return -1;}

  // Provide a listing of the info.
  void list(ostream& os = cout) const;

  // Return info on clustering values.
  int    distanceSize() const {return distances.size();}
  double distance(int i) const {
    return (i < distanceSize()) ? distances[i] : 0.; }

  // Tell how many events could not be analyzed.
  int nError() const {return nFew;}

private:

  // Constants: could only be changed in the code itself.
  static const int    TIMESTOPRINT;
  static const double PIMASS, PABSMIN, PRECLUSTERFRAC, PRECLUSTERSTEP;

  // Properties of analysis.
  int    measure, select, massSet;
  bool   doPrecluster, doReassign;
  double yScale, pTscale;
  int    nJetMin, nJetMax;

  // Temporary results.
  double dist2Join, dist2BigMin, distPre, dist2Pre;
  vector particles;
  int    nParticles;

  // Error statistics;
  int    nFew;

  // Member functions for some operations (for clarity).
  void precluster();
  void reassign();

  // Outcome of analysis: ET-ordered list of jets.
  vector jets;

  // Outcome of analysis: the distance values where the jets were merged.
  deque distances;

};

//==========================================================================

// SingleCell class.
// Simple helper class to CellJet for a cell and its contents.

class SingleCell {

public:

  // Constructor.
  SingleCell(int iCellIn = 0, double etaCellIn = 0., double phiCellIn = 0.,
    double eTcellIn = 0., int multiplicityIn = 0) : iCell(iCellIn),
    etaCell(etaCellIn), phiCell(phiCellIn), eTcell(eTcellIn),
    multiplicity(multiplicityIn), canBeSeed(true), isUsed(false),
    isAssigned(false) {}

  // Properties of cell.
  int    iCell;
  double etaCell, phiCell, eTcell;
  int    multiplicity;
  bool   canBeSeed, isUsed, isAssigned;

} ;

//==========================================================================

// SingleCellJet class.
// Simple helper class to CellJet for a jet and its contents.

class SingleCellJet {

public:

  // Constructor.
  SingleCellJet(double eTjetIn = 0., double etaCenterIn = 0.,
    double phiCenterIn = 0., double etaWeightedIn = 0.,
    double phiWeightedIn = 0., int multiplicityIn = 0,
    Vec4 pMassiveIn = 0.) : eTjet(eTjetIn), etaCenter(etaCenterIn),
    phiCenter(phiCenterIn), etaWeighted(etaWeightedIn),
    phiWeighted(phiWeightedIn), multiplicity(multiplicityIn),
    pMassive(pMassiveIn) {}

  // Properties of jet.
  double eTjet, etaCenter, phiCenter, etaWeighted, phiWeighted;
  int    multiplicity;
  Vec4   pMassive;

} ;

//==========================================================================

// CellJet class.
// This class performs a cone jet search in (eta, phi, E_T) space.

class CellJet {

public:

  // Constructor.
  CellJet(double etaMaxIn = 5., int nEtaIn = 50, int nPhiIn = 32,
    int selectIn = 2, int smearIn = 0, double resolutionIn = 0.5,
    double upperCutIn = 2., double thresholdIn = 0., Rndm* rndmPtrIn = 0)
    : etaMax(etaMaxIn), nEta(nEtaIn), nPhi(nPhiIn), select(selectIn),
    smear(smearIn), resolution(resolutionIn), upperCut(upperCutIn),
    threshold(thresholdIn), nFew(0), rndmPtr(rndmPtrIn) { }
  
  // Analyze event.
  bool analyze(const Event& event, double eTjetMinIn = 20.,
    double coneRadiusIn = 0.7, double eTseedIn = 1.5, ostream& os = cout);

  // Return info on results of analysis.
  int    size()              const {return jets.size();}
  double eT(int i)           const {return jets[i].eTjet;}
  double etaCenter(int i)    const {return jets[i].etaCenter;}
  double phiCenter(int i)    const {return jets[i].phiCenter;}
  double etaWeighted(int i)  const {return jets[i].etaWeighted;}
  double phiWeighted(int i)  const {return jets[i].phiWeighted;}
  int    multiplicity(int i) const {return jets[i].multiplicity;}
  Vec4   pMassless(int i)    const {return jets[i].eTjet * Vec4(
           cos(jets[i].phiWeighted),  sin(jets[i].phiWeighted),
          sinh(jets[i].etaWeighted), cosh(jets[i].etaWeighted) );}
  Vec4   pMassive(int i)     const {return jets[i].pMassive;}
  double m(int i)            const {return jets[i].pMassive.mCalc();}

  // Provide a listing of the info.
  void list(ostream& os = cout) const;

  // Tell how many events could not be analyzed: so far never.
  int nError() const {return nFew;}

private:

  // Constants: could only be changed in the code itself.
  static const int    TIMESTOPRINT;

  // Properties of analysis.
  double etaMax;
  int    nEta, nPhi, select, smear;
  double resolution, upperCut, threshold;
  double eTjetMin, coneRadius, eTseed;

  // Error statistics;
  int    nFew;

  // Outcome of analysis: ET-ordered list of jets.
  vector jets;

  // Pointer to the random number generator (needed for energy smearing).
  Rndm* rndmPtr;

};

//==========================================================================

// SlowJetHook class.
// Base class, used to derive your own class with your selection criteria.

class SlowJetHook {

public:

  // Destructor.
  virtual ~SlowJetHook() { }

  // Method to be overloaded.
  // It will be called for all final-state particles, one at a time, and
  // should return true if the particle should be analyzed, false if not.
  // The particle is in location iSel of the event record.
  // If you wish you can also modify the four-momentum and mass that will
  //  be used in the analysis, without affecting the event record itself,
  // by changing pSel and mSel. Remember to respect E^2 - p^2 = m^2.
  virtual bool include(int iSel, const Event& event, Vec4& pSel,
    double& mSel) = 0;

};

//==========================================================================

// SingleSlowJet class.
// Simple helper class to SlowJet for a jet and its contents.

class SingleSlowJet {

public:

  // Constructors.
  SingleSlowJet( Vec4 pIn = 0., double pT2In = 0., double yIn = 0.,
      double phiIn = 0., int idxIn = 0) : p(pIn), pT2(pT2In), y(yIn),
      phi(phiIn), mult(1) { idx.insert(idxIn); }
  SingleSlowJet(const SingleSlowJet& ssj) : p(ssj.p), pT2(ssj.pT2),
    y(ssj.y), phi(ssj.phi), mult(ssj.mult), idx(ssj.idx) { }
  SingleSlowJet& operator=(const SingleSlowJet& ssj) { if (this != &ssj)
    { p = ssj.p; pT2 = ssj.pT2; y = ssj.y; phi = ssj.phi;
    mult = ssj.mult; idx = ssj.idx; } return *this; }

  // Properties of jet.
  Vec4     p;
  double   pT2, y, phi;
  int      mult;
  set idx;

};

//==========================================================================

// SlowJet class.
// This class performs a recombination jet search in (y, phi, pT) space.

class SlowJet {

public:

  // Constructor.
  SlowJet(int powerIn, double Rin, double pTjetMinIn = 0.,
    double etaMaxIn = 25., int selectIn = 2, int massSetIn = 2,
    SlowJetHook* sjHookPtrIn = 0, bool useFJcoreIn = true,
    bool useStandardRin = true) : power(powerIn), R(Rin),
    pTjetMin(pTjetMinIn), etaMax(etaMaxIn), select(selectIn),
    massSet(massSetIn), sjHookPtr(sjHookPtrIn), useFJcore(useFJcoreIn),
    useStandardR(useStandardRin) { isAnti = (power < 0); isKT = (power > 0);
    R2 = R*R; pT2jetMin = pTjetMin*pTjetMin; cutInEta = (etaMax <= 20.);
    chargedOnly = (select > 2); visibleOnly = (select == 2);
    modifyMass = (massSet < 2); noHook = (sjHookPtr == 0);}
  
  // Analyze event, all in one go.
  bool analyze(const Event& event) {
    if ( !setup(event) ) return false;
    if (useFJcore) return clusterFJ();
    while (clSize > 0) doStep(); return true; }

  // Set up list of particles to analyze, and initial distances.
  bool setup(const Event& event);

  // Do one recombination step, possibly giving a jet.
  bool doStep();

  // Do several recombinations steps, if possible.
  bool doNSteps(int nStep) { if (useFJcore) return false;
    while(nStep > 0 && clSize > 0) { doStep(); --nStep;}
    return (nStep == 0); }

  // Do recombinations until fixed numbers of clusters and jets remain.
  bool stopAtN(int nStop) { if (useFJcore) return false;
    while (clSize + jtSize > nStop && clSize > 0) doStep();
    return (clSize + jtSize == nStop); }

  // Return info on jet (+cluster) results of analysis.
  int    sizeOrig()          const {return origSize;}
  int    sizeJet()           const {return jtSize;}
  int    sizeAll()           const {return jtSize + clSize;}
  double pT(int i)           const {return (i < jtSize)
    ? sqrt(jets[i].pT2) : sqrt(clusters[i - jtSize].pT2);}
  double y(int i)            const {return (i < jtSize)
    ? jets[i].y : clusters[i - jtSize].y;}
  double phi(int i)          const {return (i < jtSize)
    ? jets[i].phi : clusters[i - jtSize].phi;}
  Vec4   p(int i)            const {return (i < jtSize)
    ? jets[i].p : clusters[i - jtSize].p;}
  double m(int i)            const {return (i < jtSize)
    ? jets[i].p.mCalc() : clusters[i - jtSize].p.mCalc();}
  int    multiplicity(int i) const {return (i < jtSize)
    ? jets[i].mult : clusters[i - jtSize].mult;}

  // Return info on next step to be taken.
  int    iNext() const {return (iMin == -1) ? -1 : iMin + jtSize;}
  int    jNext() const {return (jMin == -1) ? -1 : jMin + jtSize;}
  double dNext() const {return dMin;}

  // Provide a listing of the info.
  void list(bool listAll = false, ostream& os = cout) const;

  // Give a list of all particles in the jet.
  vector constituents(int j) { vector cTemp;
    for (set::iterator idxTmp = jets[j].idx.begin();
       idxTmp != jets[j].idx.end(); ++idxTmp)
       cTemp.push_back( *idxTmp); return cTemp;
  }

  // Give a list of all particles in the cluster.
  vector clusConstituents(int j) { vector cTemp;
    for (set::iterator idxTmp = clusters[j].idx.begin();
       idxTmp != clusters[j].idx.end(); ++idxTmp)
       cTemp.push_back( *idxTmp); return cTemp;
  }

  // Give the index of the jet that the particle i of the event record
  // belongs to. Returns -1 if particle i is not found in a jet.
  int jetAssignment(int i) {
    for (int j = 0; j < sizeJet(); ++j)
      if (jets[j].idx.find(i) != jets[j].idx.end()) return j;
    return -1;
  }

  // Remove a jet.
  void removeJet(int i) {
    if (i < 0 || i >= jtSize) return;
    jets.erase(jets.begin() + i);
    jtSize--;
  }

private:

  // Constants: could only be changed in the code itself.
  static const int    TIMESTOPRINT;
  static const double PIMASS, TINY;

  // Properties of analysis as such.
  int    power;
  double R, pTjetMin, etaMax, R2, pT2jetMin;
  int    select, massSet;
  // SlowJetHook can be used to tailor particle selection step.
  SlowJetHook* sjHookPtr;
  bool   useFJcore, useStandardR, isAnti, isKT, cutInEta, chargedOnly,
         visibleOnly, modifyMass, noHook;

  // Intermediate clustering objects and final jet objects.
  vector clusters;
  vector jets;

  // Intermediate clustering distances.
  vector diB;
  vector dij;

  // Other intermediate variables.
  int    origSize, clSize, clLast, jtSize, iMin, jMin;
  double dPhi, dijTemp, dMin;

  // Find next cluster pair to join.
  void findNext();

  // Use FJcore interface to perform clustering.
  bool clusterFJ();

};

//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_Analysis_H

pythia8-8.1.86.orig/include/Pythia8/SigmaOnia.h0000644000175000017500000002271112357054744017346 0ustar  sunsun// SigmaOnia.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for charmonia/bottomonia process differential cross sections.
// Contains classes derived from SigmaProcess via Sigma2Process.

#ifndef Pythia8_SigmaOnia_H
#define Pythia8_SigmaOnia_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A helper class used to setup the onia processes.

class SigmaOniaSetup {

public:

  // Constructors.
  SigmaOniaSetup() {};
  SigmaOniaSetup(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, int flavourIn);

  // Initialise the SigmaProcesses for gg, qg, or qqbar production.
  void setupSigma2gg(vector &procs, bool oniaIn = false);
  void setupSigma2qg(vector &procs, bool oniaIn = false);
  void setupSigma2qq(vector &procs, bool oniaIn = false);

private:

  // Intialise and check settings.
  void initStates(string wave, const vector &states,
    vector &jnums, bool &valid);
  void initSettings(string wave, unsigned int size, 
    const vector &names, vector< vector > &pvecs, bool &valid);
  void initSettings(string wave, unsigned int size,
    const vector &names, vector< vector > &fvecs, bool &valid);

  // Stored pointers.
  Info* infoPtr;
  Settings* settingsPtr;
  ParticleData* particleDataPtr;

  // Stored vectors of settings.
  vector states3S1, states3PJ, states3DJ, spins3S1, spins3PJ, spins3DJ;
  vector meNames3S1, meNames3PJ, meNames3DJ;
  vector< vector > mes3S1, mes3PJ, mes3DJ;
  vector ggNames3S1, qgNames3S1, qqNames3S1,
    ggNames3PJ, qgNames3PJ, qqNames3PJ, ggNames3DJ, qgNames3DJ, qqNames3DJ;
  vector< vector > ggs3S1, qgs3S1, qqs3S1, ggs3PJ, qgs3PJ, qqs3PJ,
    ggs3DJ, qgs3DJ, qqs3DJ;

  // Stored validity and production flags.
  bool onia, onia3S1, onia3PJ, onia3DJ, oniaFlavour;
  bool valid3S1, valid3PJ, valid3DJ;
  int flavour;
  string cat, key;

  // Stored parameters.
  double mSplit;

};

//==========================================================================

// A derived class for g g -> QQbar[3S1(1)] g (Q = c or b).

class Sigma2gg2QQbar3S11g : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2QQbar3S11g(int idHadIn, double oniumMEIn, int codeIn) : 
    idHad(abs(idHadIn)), codeSave(codeIn), oniumME(oniumMEIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idHad;}

 private:

  // Values stored for process type and colour flow selection.
  int    idHad, codeSave;
  string nameSave;
  double oniumME, sigma;

};
 
//==========================================================================

// A derived class for g g -> QQbar[3PJ(1)] g (Q = c or b, J = 0, 1 or 2).

class Sigma2gg2QQbar3PJ1g : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2QQbar3PJ1g(int idHadIn, double oniumMEIn, int jIn, int codeIn) : 
    idHad(idHadIn), jSave(jIn), codeSave(codeIn), oniumME(oniumMEIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idHad;}

protected:

  // Name pre-, post-, and mid-fix.
  virtual string namePrefix()  const {return "g g";}
  virtual string namePostfix() const {return "g";}
  string nameMidfix() const {return (codeSave - codeSave%100)/100 
      == 4 ? "ccbar" : "bbbar";}

  // Values stored for process type and colour flow selection.
  int    idHad, jSave, codeSave;
  string nameSave;
  double oniumME, sigma;

};
 
//==========================================================================

// A derived class for q g -> QQbar[3PJ(1)] q (Q = c or b, J = 0, 1 or 2).

class Sigma2qg2QQbar3PJ1q : public Sigma2gg2QQbar3PJ1g {

public:

  // Constructor.
  Sigma2qg2QQbar3PJ1q(int idHadIn, double oniumMEIn, int jIn, int codeIn) : 
    Sigma2gg2QQbar3PJ1g(idHadIn, oniumMEIn, jIn, codeIn) {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string inFlux()  const {return "qg";}

protected:

  // Name pre- and post-fix.
  string namePrefix()  const {return "q g";}
  string namePostfix() const {return "q";}

};
 
//==========================================================================

// A derived class for q qbar -> QQbar[3PJ(1)] g (Q = c or b, J = 0, 1 or 2).

class Sigma2qqbar2QQbar3PJ1g : public Sigma2gg2QQbar3PJ1g {

public:

  // Constructor.
  Sigma2qqbar2QQbar3PJ1g(int idHadIn, double oniumMEIn, int jIn, int codeIn) : 
    Sigma2gg2QQbar3PJ1g(idHadIn, oniumMEIn, jIn, codeIn) {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string inFlux()  const {return "qqbarSame";}

protected:

  // Name pre- and post-fix.
  string namePrefix()  const {return "q qbar";}
  string namePostfix() const {return "g";}

};
 
//==========================================================================

// A derived class for g g -> QQbar[3DJ(1)] g (Q = c or b).

class Sigma2gg2QQbar3DJ1g : public Sigma2gg2QQbar3PJ1g {

public:

  // Constructor.
  Sigma2gg2QQbar3DJ1g(int idHadIn, double oniumMEIn, int jIn, int codeIn) : 
    Sigma2gg2QQbar3PJ1g(idHadIn, oniumMEIn, jIn, codeIn) {}
  
  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();
  
};

//==========================================================================

// A derived class for g g -> QQbar[X(8)] g (Q = c or b, X = 3S1, 1S0 or 3PJ).

class Sigma2gg2QQbarX8g : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2QQbarX8g(int idHadIn, double oniumMEIn, int stateIn, 
    double mSplitIn, int codeIn) : idHad(idHadIn), stateSave(stateIn), 
    codeSave(codeIn), oniumME(oniumMEIn), mSplit(mSplitIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate d(sigmaHat)/d(tHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idHad;}

protected:

  // Name pre- and post-fix.
  virtual string namePrefix()  const {return "g g";}
  virtual string namePostfix() const {return "g";}

  // Values stored for process type and colour flow selection.
  int    idHad, stateSave, codeSave;
  string nameSave;
  double oniumME, sigma, mSplit;

};
 
//==========================================================================

// A derived class for q g -> QQbar[X(8)] q (Q = c or b, X = 3S1, 1S0 or 3PJ).

class Sigma2qg2QQbarX8q : public Sigma2gg2QQbarX8g {

public:

  // Constructor.
  Sigma2qg2QQbarX8q(int idHadIn, double oniumMEIn, int stateIn,
    double mSplitIn, int codeIn) :
    Sigma2gg2QQbarX8g(idHadIn, oniumMEIn, stateIn, mSplitIn, codeIn) {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string inFlux()  const {return "qg";}

protected:

  // Name pre- and post-fix.
  virtual string namePrefix()  const {return "q g";}
  virtual string namePostfix() const {return "q";}

};
 
//==========================================================================

// A derived class for q qbar -> QQbar[X(8)] g (Q = c or b,
//   X = 3S1, 1S0 or 3PJ).

class Sigma2qqbar2QQbarX8g : public Sigma2gg2QQbarX8g {

public:

  // Constructor.
  Sigma2qqbar2QQbarX8g(int idHadIn, double oniumMEIn, int stateIn,
    double mSplitIn, int codeIn) :
    Sigma2gg2QQbarX8g(idHadIn, oniumMEIn, stateIn, mSplitIn, codeIn) {}

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string inFlux()  const {return "qqbarSame";}

protected:

  // Name pre- and post-fix.
  virtual string namePrefix()  const {return "q qbar";}
  virtual string namePostfix() const {return "g";}

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaOnia_H
pythia8-8.1.86.orig/include/Pythia8/PhaseSpace.h0000644000175000017500000004300012357054734017504 0ustar  sunsun// PhaseSpace.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for phase space generators in kinematics selection.
// PhaseSpace: base class for phase space generators.
// Base class for derived classes> 2 ->1 , 2 -> 2, 2 -> 2 elastic/diffractive,
// 2 -> 2 nondiffractive, 2 -> 3, Les Houches.

#ifndef Pythia8_PhaseSpace_H
#define Pythia8_PhaseSpace_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Info.h"
#include "Pythia8/LesHouches.h"
#include "Pythia8/MultipartonInteractions.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/SigmaProcess.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/UserHooks.h"

namespace Pythia8 {

//==========================================================================

// Forward reference to the UserHooks class.
class UserHooks;
 
//==========================================================================

// PhaseSpace is a base class for  phase space generators
// used in the selection of hard-process kinematics.

class PhaseSpace {

public:

  // Destructor.
  virtual ~PhaseSpace() {}

  // Perform simple initialization and store pointers.
  void init(bool isFirst, SigmaProcess* sigmaProcessPtrIn,
    Info* infoPtrIn, Settings* settingsPtrIn, ParticleData* particleDataPtrIn,
    Rndm* rndmPtrIn, BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    Couplings* couplingsPtrIn, SigmaTotal* sigmaTotPtrIn,
    UserHooks* userHooksPtrIn);

  // Update the CM energy of the event.
  void newECM(double eCMin) {eCM = eCMin; s = eCM * eCM;}

  // Store or replace Les Houches pointer.
  void setLHAPtr(LHAup* lhaUpPtrIn) {lhaUpPtr = lhaUpPtrIn;}

  // A pure virtual method, wherein an optimization procedure
  // is used to determine how phase space should be sampled.
  virtual bool setupSampling() = 0;

  // A pure virtual method, wherein a trial event kinematics
  // is to be selected in the derived class.
  virtual bool trialKin(bool inEvent = true, bool repeatSame = false) = 0;

  // A pure virtual method, wherein the accepted event kinematics
  // is to be constructed in the derived class.
  virtual bool finalKin() = 0;

  // Allow for nonisotropic decays when ME's available.
  void   decayKinematics( Event& process);

  // Give back current or maximum cross section, or set latter.
  double sigmaNow() const {return sigmaNw;}
  double sigmaMax() const {return sigmaMx;}
  double biasSelectionWeight()  const {return biasWt;}
  bool   newSigmaMax() const {return newSigmaMx;}
  void   setSigmaMax(double sigmaMaxIn) {sigmaMx = sigmaMaxIn;}

  // For Les Houches with negative event weight needs
  virtual double sigmaSumSigned() const {return sigmaMx;}
  
  // Give back constructed four-vectors and known masses.
  Vec4   p(int i)   const {return pH[i];}
  double m(int i)   const {return mH[i];}

  // Give back other event properties.
  double ecm()      const {return eCM;}
  double x1()       const {return x1H;}
  double x2()       const {return x2H;}
  double sHat()     const {return sH;}
  double tHat()     const {return tH;}
  double uHat()     const {return uH;}
  double pTHat()    const {return pTH;}
  double thetaHat() const {return theta;}
  double phiHat()   const {return phi;}
  double runBW3()   const {return runBW3H;}
  double runBW4()   const {return runBW4H;}
  double runBW5()   const {return runBW5H;}

  // Inform whether beam particles are resolved in partons or scatter directly.
  virtual bool isResolved() const {return true;}

protected:

  // Constructor.
  PhaseSpace() {}

  // Constants: could only be changed in the code itself.
  static const int    NMAXTRY, NTRY3BODY;
  static const double SAFETYMARGIN, TINY, EVENFRAC, SAMESIGMA, WIDTHMARGIN,
                      SAMEMASS, MASSMARGIN, EXTRABWWTMAX, THRESHOLDSIZE,
                      THRESHOLDSTEP, YRANGEMARGIN, LEPTONXMIN, LEPTONXMAX,
                      LEPTONXLOGMIN, LEPTONXLOGMAX, LEPTONTAUMIN,
                      SHATMINZ, PT2RATMINZ, WTCORRECTION[11];

  // MBR constants: form factor appoximation with two exponents.
  static const double FFA1, FFA2,FFB1, FFB2;

  // Pointer to cross section.
  SigmaProcess* sigmaProcessPtr;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the settings database.
  Settings*     settingsPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Pointers to incoming beams.
  BeamParticle* beamAPtr;
  BeamParticle* beamBPtr;

  // Pointer to Standard Model couplings.
  Couplings*         couplingsPtr;
  
  // Pointer to the total/elastic/diffractive cross section object.
  SigmaTotal*   sigmaTotPtr;

  // Pointer to userHooks object for user interaction with program.
  UserHooks*    userHooksPtr;

  // Pointer to LHAup for generating external events.
  LHAup*        lhaUpPtr;

  // Initialization data, normally only set once.
  bool   useBreitWigners, doEnergySpread, showSearch, showViolation,
         increaseMaximum;
  int    gmZmodeGlobal;
  double mHatGlobalMin, mHatGlobalMax, pTHatGlobalMin, pTHatGlobalMax,
         pTHatMinDiverge, minWidthBreitWigners, mRecalculate;
 
  // Information on incoming beams.
  int    idA, idB;
  double mA, mB, eCM, s;
  bool   hasLeptonBeams, hasPointLeptons;

 // Cross section information.
  bool   newSigmaMx, canModifySigma, canBiasSelection, canBias2Sel;
  int    gmZmode;
  double bias2SelPow, bias2SelRef, wtBW, sigmaNw, sigmaMx, sigmaPos,
         sigmaNeg, biasWt;

  // Process-specific kinematics properties, almost always available.
  double mHatMin, mHatMax, sHatMin, sHatMax, pTHatMin, pTHatMax,
         pT2HatMin, pT2HatMax;

  // Event-specific kinematics properties, almost always available.
  double x1H, x2H, m3, m4, m5, s3, s4, s5, mHat, sH, tH, uH, pAbs, p2Abs,
         pTH, theta, phi, betaZ;
  Vec4   pH[6];
  double mH[6];

  // Reselect decay products momenta isotropically in phase space.
  void decayKinematicsStep( Event& process, int iRes);

  // Much common code for normal 2 -> 1, 2 -> 2 and 2 -> 3 cases:

  // Determine how phase space should be sampled.
  void setup3Body();
  bool setupSampling123(bool is2, bool is3, ostream& os = cout);

  // Select a trial kinematics phase space point.
  bool trialKin123(bool is2, bool is3, bool inEvent = true,
    ostream& os = cout);

  // Presence and properties of any s-channel resonances.
  int    idResA, idResB;
  double mResA, mResB, GammaResA, GammaResB, tauResA, tauResB, widResA,
         widResB;
  bool   sameResMass;

  // Kinematics properties specific to 2 -> 1/2/3.
  bool   useMirrorWeight;
  double tau, y, z, tauMin, tauMax, yMax, zMin, zMax, ratio34, unity34,
         zNeg, zPos, wtTau, wtY, wtZ, wt3Body, runBW3H, runBW4H, runBW5H,
         intTau0, intTau1, intTau2, intTau3, intTau4, intTau5, intTau6,
         intY0, intY12, intY34, intY56, mTchan1, sTchan1, mTchan2, sTchan2,
         frac3Flat, frac3Pow1, frac3Pow2;
  Vec4   p3cm, p4cm, p5cm;

  // Coefficients for optimized selection in 2 -> 1/2/3.
  int    nTau, nY, nZ;
  double tauCoef[8], yCoef[8], zCoef[8], tauCoefSum[8], yCoefSum[8],
         zCoefSum[8];

  // Calculate kinematical limits for 2 -> 1/2/3.
  bool limitTau(bool is2, bool is3);
  bool limitY();
  bool limitZ();

  // Select kinematical variable between defined limits for 2 -> 1/2/3.
  void selectTau(int iTau, double tauVal, bool is2);
  void selectY(int iY, double yVal);
  void selectZ(int iZ, double zVal);
  bool select3Body();

  // Solve equation system for better phase space coefficients in 2 -> 1/2/3.
  void solveSys( int n, int bin[8], double vec[8], double mat[8][8],
    double coef[8], ostream& os = cout);

  // Properties specific to resonance mass selection in 2 -> 2 and 2 -> 3.
  bool   useBW[6];
  int    idMass[6];
  double mPeak[6], sPeak[6], mWidth[6], mMin[6], mMax[6], mw[6], wmRat[6],
         mLower[6], mUpper[6], sLower[6], sUpper[6], fracFlat[6], fracInv[6],
         fracInv2[6], atanLower[6], atanUpper[6], intBW[6], intFlat[6],
         intInv[6], intInv2[6];

  // Setup mass selection for one resonance at a time. Split in two parts.
  void   setupMass1(int iM);
  void   setupMass2(int iM, double distToThresh);

  // Do mass selection and find the associated weight.
  void   trialMass(int iM);
  double weightMass(int iM);

  // The error function erf(x) should normally be in your math library,
  // but if not uncomment this simple parametrization by Sergei Winitzki.
  //double erf(double x) { double x2 = x * x; double kx2 = 0.147 * x2;
  //  double tmp = sqrt(1. - exp(-x2 * (4./M_PI + kx2) / (1. + kx2)));
  //  return ((x >= 0.) ? tmp : -tmp); }

};
 
//==========================================================================

// A derived class with 2 -> 1 kinematics set up in tau, y.

class PhaseSpace2to1tauy : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to1tauy() {}

  // Optimize subsequent kinematics selection.
  virtual bool setupSampling() {if (!setupMass()) return false;
    return setupSampling123(false, false);}

  // Construct the trial kinematics.
  virtual bool trialKin(bool inEvent = true, bool = false) {wtBW = 1.;
    return trialKin123(false, false, inEvent);}

  // Construct the final event kinematics.
  virtual bool finalKin();

private:

  // Set up allowed mass range.
  bool setupMass();

};
 
//==========================================================================

// A derived class with 2 -> 2 kinematics set up in tau, y, z = cos(theta).

class PhaseSpace2to2tauyz : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to2tauyz() {}

  // Optimize subsequent kinematics selection.
  virtual bool setupSampling() {if (!setupMasses()) return false;
    return setupSampling123(true, false);}

  // Construct the trial kinematics.
  virtual bool trialKin(bool inEvent = true, bool = false) {
    if (!trialMasses()) return false;
    return trialKin123(true, false, inEvent);}

  // Construct the final event kinematics.
  virtual bool finalKin();

private:

  // Set up for fixed or Breit-Wigner mass selection.
  bool setupMasses();

  // Select fixed or Breit-Wigner-distributed masses.
  bool trialMasses();

  // Pick off-shell initialization masses when on-shell not allowed.
  bool constrainedM3M4();
  bool constrainedM3();
  bool constrainedM4();

};
 
//==========================================================================

// A derived class with 2 -> 2 kinematics set up for elastic scattering.

class PhaseSpace2to2elastic : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to2elastic() {}

  // Construct the trial or final event kinematics.
  virtual bool setupSampling();
  virtual bool trialKin(bool inEvent = true, bool = false);
  virtual bool finalKin();

  // Are beam particles resolved in partons or scatter directly?
  virtual bool isResolved() const {return false;}

private:

  // Constants: could only be changed in the code itself.
  static const double EXPMAX, CONVERTEL;

  // Kinematics properties specific to 2 -> 2 elastic.
  bool   useCoulomb;
  double s1, s2, bSlope, lambda12S, tLow, tUpp, tAux, sigmaTot, rho,
         lambda, tAbsMin, phaseCst, alphaEM0, sigmaNuc, sigmaCou, signCou;

 // Calculation of alphaElectromagnetic.
 AlphaEM alphaEM;

};
 
//==========================================================================

// A derived class with 2 -> 2 kinematics set up for diffractive scattering.

class PhaseSpace2to2diffractive : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to2diffractive(bool isDiffAin = false, bool isDiffBin = false)
    : isDiffA(isDiffAin), isDiffB(isDiffBin) {}

  // Construct the trial or final event kinematics.
  virtual bool setupSampling();
  virtual bool trialKin(bool inEvent = true, bool = false);
  virtual bool finalKin();

  // Are beam particles resolved in partons or scatter directly?
  virtual bool isResolved() const {return false;}

private:

  // Constants: could only be changed in the code itself.
  static const int    NTRY;
  static const double EXPMAX, DIFFMASSMARGIN;

  // Initialization data, in constructor or read from Settings.
  bool   isDiffA, isDiffB;
  int    PomFlux;
  double epsilonPF, alphaPrimePF;

  // Initialization: kinematics properties specific to 2 -> 2 diffractive.
  double m3ElDiff, m4ElDiff, s1, s2, lambda12, lambda34, tLow, tUpp,
         cRes, sResXB, sResAX, sProton, bMin, bSlope, bSlope1, bSlope2,
         probSlope1, xIntPF, xtCorPF, mp24DL, coefDL, tAux, tAux1, tAux2;
    
  // Parameters for MBR model.
  double sdpmax, ddpmax, dymin0, dymax, amx, am1, am2, t;
  double eps, alph, alph2, m2min, dyminSD, dyminDD, dyminSigSD, dyminSigDD;
  
};

//==========================================================================

// A derived class with 2 -> 3 kinematics set up for central diffractive
// scattering.

class PhaseSpace2to3diffractive : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to3diffractive() {}

  // Construct the trial or final event kinematics.
  virtual bool setupSampling();
  virtual bool trialKin(bool inEvent = true, bool = false);
  virtual bool finalKin();

  // Are beam particles resolved in partons or scatter directly?
  virtual bool isResolved() const {return false;}

 private:
  
  // Constants: could only be changed in the code itself.
  static const int    NTRY, NINTEG2;
  static const double EXPMAX, DIFFMASSMIN, DIFFMASSMARGIN;
    
  // Local variables to calculate DPE kinematics.
  int    PomFlux;
  double epsilonPF, alphaPrimePF, s1, s2, m5min, s5min, tLow[2], tUpp[2],
         bMin[2], tAux[2], bSlope1, bSlope2, probSlope1[2], tAux1[2],
         tAux2[2], bSlope, xIntPF, xIntInvPF, xtCorPF, mp24DL, coefDL,
         epsMBR, alphMBR, m2minMBR, dyminMBR, dyminSigMBR, dyminInvMBR,
         dpepmax, t1, t2;
  Vec4   p1, p2, p3, p4, p5;

};
 
//==========================================================================

// A derived class for nondiffractive events. Hardly does anything, since
// the real action is taken care of by the MultipartonInteractions class.

class PhaseSpace2to2nondiffractive : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to2nondiffractive() {}

  // Construct the trial or final event kinematics.
  virtual bool setupSampling() {sigmaNw = sigmaProcessPtr->sigmaHat();
    sigmaMx = sigmaNw; return true;}
  virtual bool trialKin( bool , bool = false) {return true;}
  virtual bool finalKin() {return true;}

private:

};
 
//==========================================================================

// A derived class with 2 -> 3 kinematics 1 + 2 -> 3 + 4 + 5 set up in
// tau, y, pT2_4, pT2_5, phi_4, phi_5 and y_3 (partial cylindrical symmetry).

class PhaseSpace2to3tauycyl : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to3tauycyl() {}

  // Optimize subsequent kinematics selection.
  virtual bool setupSampling() {if (!setupMasses()) return false;
    setup3Body(); return setupSampling123(false, true);}

  // Construct the trial kinematics.
  virtual bool trialKin(bool inEvent = true, bool = false) {
    if (!trialMasses()) return false;
    return trialKin123(false, true, inEvent);}

  // Construct the final event kinematics.
  virtual bool finalKin();

private:

  // Constants: could only be changed in the code itself.
  static const int    NITERNR;

  // Set up for fixed or Breit-Wigner mass selection.
  bool setupMasses();

  // Select fixed or Breit-Wigner-distributed masses.
  bool trialMasses();

};
 
//==========================================================================

// A derived class with 2 -> 3 kinematics 1 + 2 -> 3 + 4 + 5 set up in
// y3, y4, y5, pT2_3, pT2_5, phi_3 and phi_5, and with R separation cut.
// Intended specifically for (essentially massless) 2 -> 3 QCD processes.

class PhaseSpace2to3yyycyl : public PhaseSpace {

public:

  // Constructor.
  PhaseSpace2to3yyycyl() {}

  // Optimize subsequent kinematics selection.
  virtual bool setupSampling();

  // Construct the trial kinematics.
  virtual bool trialKin(bool inEvent = true, bool = false);

  // Construct the final event kinematics.
  virtual bool finalKin();

private:

  // Phase space cuts specifically for 2 -> 3 QCD processes.
  double pTHat3Min, pTHat3Max, pTHat5Min, pTHat5Max, RsepMin, R2sepMin;
  bool   hasBaryonBeams;

  // Event kinematics choices.
  double pT3Min, pT3Max, pT5Min, pT5Max, y3Max, y4Max, y5Max,
         pT3, pT4, pT5, phi3, phi4, phi5, y3, y4, y5, dphi;
  Vec4   pInSum;

};

//==========================================================================

// A derived class for Les Houches events.

class PhaseSpaceLHA : public PhaseSpace {

public:

  // Constructor.
  PhaseSpaceLHA() {idProcSave = 0;}

  // Find maximal cross section for comparison with internal processes.
  virtual bool setupSampling();

  // Construct the next process, by interface to Les Houches class.
  virtual bool trialKin( bool , bool repeatSame = false);

  // Set scale, alpha_s and alpha_em if not done.
  virtual bool finalKin() {sigmaProcessPtr->setScale(); return true;}

  // For Les Houches with negative event weight needs
  virtual double sigmaSumSigned() const {return sigmaSgn;}

private:

  // Constants.
  static const double CONVERTPB2MB;

  // Local properties.
  int    strategy, stratAbs, nProc, idProcSave;
  double xMaxAbsSum, xSecSgnSum, sigmaSgn;
  vector    idProc;
  vector xMaxAbsProc;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_PhaseSpace_H
 
pythia8-8.1.86.orig/include/Pythia8/TimeShower.h0000644000175000017500000002703612357054745017573 0ustar  sunsun// TimeShower.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the timelike final-state showers.
// TimeDipoleEnd: data on a radiating dipole end.
// TimeShower: handles the showering description.

#ifndef Pythia8_TimeShower_H
#define Pythia8_TimeShower_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/UserHooks.h"
#include "Pythia8/MergingHooks.h"
#include "Pythia8/WeakShowerMEs.h"

namespace Pythia8 {

//==========================================================================

// Data on radiating dipole ends; only used inside TimeShower class.

class TimeDipoleEnd {

public:

  // Constructors.
  TimeDipoleEnd() : iRadiator(-1), iRecoiler(-1), pTmax(0.), colType(0),
    chgType(0), gamType(0), weakType(0), isrType(0), system(0), systemRec(0),
    MEtype(0), iMEpartner(-1), weakPol(0), isOctetOnium(false),
    isHiddenValley(false), colvType(0), MEmix(0.), MEorder(true),
    MEsplit(true), MEgluinoRec(false), isFlexible(false) { }
 TimeDipoleEnd(int iRadiatorIn, int iRecoilerIn, double pTmaxIn = 0.,
    int colIn = 0, int chgIn = 0, int gamIn = 0, int weakTypeIn = 0,
    int isrIn = 0, int systemIn = 0, int MEtypeIn = 0, int iMEpartnerIn = -1,
    int weakPolIn = 0, bool isOctetOniumIn = false,
    bool isHiddenValleyIn = false, int colvTypeIn = 0, double MEmixIn = 0.,
    bool MEorderIn = true, bool MEsplitIn = true, bool MEgluinoRecIn = false,
    bool isFlexibleIn = false) :
    iRadiator(iRadiatorIn), iRecoiler(iRecoilerIn), pTmax(pTmaxIn),
    colType(colIn), chgType(chgIn), gamType(gamIn), weakType(weakTypeIn),
    isrType(isrIn), system(systemIn), systemRec(systemIn), MEtype(MEtypeIn),
    iMEpartner(iMEpartnerIn), weakPol(weakPolIn), isOctetOnium(isOctetOniumIn),
    isHiddenValley(isHiddenValleyIn), colvType(colvTypeIn), MEmix(MEmixIn),
    MEorder (MEorderIn), MEsplit(MEsplitIn), MEgluinoRec(MEgluinoRecIn),
    isFlexible(isFlexibleIn)  { }

  // Basic properties related to dipole and matrix element corrections.
  int    iRadiator, iRecoiler;
  double pTmax;
  int    colType, chgType, gamType, weakType, isrType, system, systemRec,
         MEtype, iMEpartner, weakPol;
  bool   isOctetOnium, isHiddenValley;
  int    colvType;
  double MEmix;
  bool   MEorder, MEsplit, MEgluinoRec, isFlexible;

  // Properties specific to current trial emission.
  int    flavour, iAunt;
  double mRad, m2Rad, mRec, m2Rec, mDip, m2Dip, m2DipCorr,
         pT2, m2, z, mFlavour, asymPol, flexFactor;
  
} ;

//==========================================================================

// The TimeShower class does timelike showers.

class TimeShower {

public:

  // Constructor.
  TimeShower() {beamOffset = 0;}

  // Destructor.
  virtual ~TimeShower() {}

  // Initialize various pointers.
  // (Separated from rest of init since not virtual.)
  void initPtr(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
    CoupSM* coupSMPtrIn, PartonSystems* partonSystemsPtrIn,
    UserHooks* userHooksPtrIn, MergingHooks* mergingHooksPtrIn = 0) {
    infoPtr = infoPtrIn; settingsPtr = settingsPtrIn;
    particleDataPtr = particleDataPtrIn; rndmPtr = rndmPtrIn;
    coupSMPtr = coupSMPtrIn; partonSystemsPtr = partonSystemsPtrIn;
    userHooksPtr = userHooksPtrIn; mergingHooksPtr = mergingHooksPtrIn;}

  // Initialize alphaStrong and related pTmin parameters.
  virtual void init( BeamParticle* beamAPtrIn = 0,
    BeamParticle* beamBPtrIn = 0);

  // New beams possible for handling of hard diffraction. (Not virtual.)
  void reassignBeamPtrs( BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
    int beamOffsetIn = 0) {beamAPtr = beamAPtrIn; beamBPtr = beamBPtrIn;
    beamOffset = beamOffsetIn;}

  // Find whether to limit maximum scale of emissions, and whether to dampen.
  virtual bool limitPTmax( Event& event, double Q2Fac = 0.,
    double Q2Ren = 0.);

  // Potential enhancement factor of pTmax scale for hardest emission.
  double enhancePTmax() {return pTmaxFudge;}

  // Top-level routine to do a full time-like shower in resonance decay.
  virtual int shower( int iBeg, int iEnd, Event& event, double pTmax,
    int nBranchMax = 0);

  // Top-level routine for QED radiation in hadronic decay to two leptons.
  virtual int showerQED( int i1, int i2, Event& event, double pTmax);

  // Provide the pT scale of the last branching in the above shower.
  double pTLastInShower() {return pTLastBranch;}

  // Global recoil: reset counters and store locations of outgoing partons.
  virtual void prepareGlobal( Event& event);

  // Prepare system for evolution after each new interaction; identify ME.
  virtual void prepare( int iSys, Event& event, bool limitPTmaxIn = true);

  // Update dipole list after a multiparton interactions rescattering.
  virtual void rescatterUpdate( int iSys, Event& event);

  // Update dipole list after each ISR emission.
  virtual void update( int iSys, Event& event, bool hasWeakRad = false);

  // Select next pT in downwards evolution.
  virtual double pTnext( Event& event, double pTbegAll, double pTendAll,
    bool isFirstTrial = false);

  // ME corrections and kinematics that may give failure.
  virtual bool branch( Event& event, bool isInterleaved = false);

  // Tell which system was the last processed one.
  int system() const {return iSysSel;};

  // Tell whether FSR has done a weak emission.
  bool getHasWeaklyRadiated() {return hasWeaklyRadiated;}

  // Print dipole list; for debug mainly.
  virtual void list( ostream& os = cout) const;

protected:

  // Pointer to various information on the generation.
  Info*          infoPtr;

  // Pointer to the settings database.
  Settings*      settingsPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

  // Pointer to the random number generator.
  Rndm*          rndmPtr;

  // Pointer to Standard Model couplings.
  CoupSM*        coupSMPtr;

  // Pointers to the two incoming beams. Offset their location in event.
  BeamParticle*  beamAPtr;
  BeamParticle*  beamBPtr;
  int            beamOffset;

  // Pointer to information on subcollision parton locations.
  PartonSystems* partonSystemsPtr;

  // Pointer to userHooks object for user interaction with program.
  UserHooks*     userHooksPtr;

  // Weak matrix elements used for corrections both of ISR and FSR.
  WeakShowerMEs  weakShowerMEs;

  // Store properties to be returned by methods.
  int    iSysSel;
  double pTmaxFudge, pTLastBranch;

private:

  // Constants: could only be changed in the code itself.
  static const double MCMIN, MBMIN, SIMPLIFYROOT, XMARGIN, XMARGINCOMB, 
         TINYPDF, LARGEM2, THRESHM2, LAMBDA3MARGIN, WEAKPSWEIGHT, WG2QEXTRA;
  // Rescatter: try to fix up recoil between systems
  static const bool   FIXRESCATTER, VETONEGENERGY;
  static const double MAXVIRTUALITYFRACTION, MAXNEGENERGYFRACTION;

  // Initialization data, normally only set once.
  bool   doQCDshower, doQEDshowerByQ, doQEDshowerByL, doQEDshowerByGamma,
         doWeakShower, doMEcorrections, doMEafterFirst, doPhiPolAsym,
         doInterleave, allowBeamRecoil, dampenBeamRecoil, recoilToColoured,
         useFixedFacScale, allowRescatter, canVetoEmission, doHVshower,
         brokenHVsym, globalRecoil, useLocalRecoilNow, doSecondHard,
         singleWeakEmission, alphaSuseCMW, vetoWeakJets;
  int    pTmaxMatch, pTdampMatch, alphaSorder, alphaSnfmax, nGluonToQuark,
         weightGluonToQuark, alphaEMorder, nGammaToQuark, nGammaToLepton, 
         nCHV, idHV, nMaxGlobalRecoil, weakMode;
  double pTdampFudge, mc, mb, m2c, m2b, renormMultFac, factorMultFac,
         fixedFacScale2, alphaSvalue, alphaS2pi, Lambda3flav, Lambda4flav,
         Lambda5flav, Lambda3flav2, Lambda4flav2, Lambda5flav2,
         scaleGluonToQuark, extraGluonToQuark, pTcolCutMin, pTcolCut,
         pT2colCut, pTchgQCut, pT2chgQCut, pTchgLCut, pT2chgLCut,
         pTweakCut, pT2weakCut, mMaxGamma, m2MaxGamma, octetOniumFraction,
         octetOniumColFac, mZ, gammaZ, thetaWRat, mW, gammaW, CFHV,
         alphaHVfix, pThvCut, pT2hvCut, mHV, pTmaxFudgeMPI,
         weakEnhancement, vetoWeakDeltaR2;

  // alphaStrong and alphaEM calculations.
  AlphaStrong alphaS;
  AlphaEM     alphaEM;

  // Some current values.
  bool   dopTlimit1, dopTlimit2, dopTdamp, hasWeaklyRadiated;
  double pT2damp, kRad, kEmt, pdfScale2;

  // All dipole ends and a pointer to the selected hardest dipole end.
  vector dipEnd;
  TimeDipoleEnd* dipSel;
  int iDipSel;

  // Setup a dipole end, either QCD, QED/photon, weak or Hidden Valley one.
  void setupQCDdip( int iSys, int i, int colTag,  int colSign, Event& event,
    bool isOctetOnium = false, bool limitPTmaxIn = true);
  void setupQEDdip( int iSys, int i, int chgType, int gamType, Event& event,
    bool limitPTmaxIn = true);
  void setupWeakdip( int iSys, int i,int weakType, Event& event,
    bool limitPTmaxIn = true);
  void setupHVdip( int iSys, int i, Event& event, bool limitPTmaxIn = true);

  // Evolve a QCD dipole end.
  void pT2nextQCD( double pT2begDip, double pT2sel, TimeDipoleEnd& dip,
    Event& event);

  // Evolve a QED dipole end, either charged or photon.
  void pT2nextQED( double pT2begDip, double pT2sel, TimeDipoleEnd& dip,
    Event& event);

  // Evolve a weak dipole end.
  void pT2nextWeak( double pT2begDip, double pT2sel, TimeDipoleEnd& dip,
    Event& event);

  // Evolve a Hidden Valley dipole end.
  void pT2nextHV( double pT2begDip, double pT2sel, TimeDipoleEnd& dip,
    Event& );

  // Find kind of QCD ME correction.
  void findMEtype( Event& event, TimeDipoleEnd& dip);

  // Find type of particle; used by findMEtype.
  int findMEparticle( int id, bool isHiddenColour = false);

  // Find mixture of V and A in gamma/Z: energy- and flavour-dependent.
  double gammaZmix( Event& event, int iRes, int iDau1, int iDau2);

  // Set up to calculate QCD ME correction with calcMEcorr.
  double findMEcorr(TimeDipoleEnd* dip, Particle& rad, Particle& partner,
   Particle& emt, bool cutEdge = true);

  // Set up to calculate weak ME corrections for t-channel processes.
  double findMEcorrWeak(TimeDipoleEnd* dip, Vec4 rad, Vec4 rec,
   Vec4 emt, Vec4 p3, Vec4 p4, Vec4 radBef, Vec4 recBef);

  // Calculate value of QCD ME correction.
  double calcMEcorr( int kind, int combiIn, double mixIn, double x1,
    double x2, double r1, double r2, double r3 = 0., bool cutEdge = true);

  // Find coefficient of azimuthal asymmetry from gluon polarization.
  void findAsymPol( Event& event, TimeDipoleEnd* dip);

  // Rescatter: propagate dipole recoil to internal lines connecting systems.
  bool rescatterPropagateRecoil( Event& event, Vec4& pNew);

  // Properties stored for (some) global recoil schemes.
  // Vectors of event indices defining the hard process.
  vector hardPartons;
  // Number of proposed splittings, number of partons in current hard event,
  // number of partons in Born-type hard event (distinguish between S and H).
  int nProposed, nHard, nFinalBorn, nMaxGlobalBranch;
  // Number of splittings with global recoil (currently only 1).
  int nGlobal, globalRecoilMode;
  // Switch to constrain recoiling system.
  bool limitMUQ;

  // Pointer to MergingHooks object for NLO merging.
  MergingHooks* mergingHooksPtr;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_TimeShower_H
pythia8-8.1.86.orig/include/Pythia8/HiddenValleyFragmentation.h0000644000175000017500000001135012357054734022562 0ustar  sunsun// HiddenValleyFragmentation.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the classes for Hidden-Valley fragmentation.

#ifndef Pythia8_HiddenValleyFragmentation_H
#define Pythia8_HiddenValleyFragmentation_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/FragmentationSystems.h"
#include "Pythia8/Info.h"
#include "Pythia8/MiniStringFragmentation.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StringFragmentation.h"

namespace Pythia8 {

//==========================================================================

// The HVStringFlav class is used to select HV-quark and HV-hadron flavours.

class HVStringFlav : public StringFlav {

public:

  // Constructor.
  HVStringFlav() {}

  // Destructor.
  ~HVStringFlav() {}

  // Initialize data members.
  void init(Settings& settings, Rndm* rndmPtrIn);

  // Pick a new flavour (including diquarks) given an incoming one.
  FlavContainer pick(FlavContainer& flavOld);

  // Combine two flavours (including diquarks) to produce a hadron.
  int combine(FlavContainer& flav1, FlavContainer& flav2);

private:

  // Initialization data, to be read from Settings.
  int    nFlav;
  double probVector;

};
 
//==========================================================================

// The HVStringPT class is used to select select HV transverse momenta.

class HVStringPT : public StringPT {

public:

  // Constructor.
  HVStringPT() {}

  // Destructor.
  ~HVStringPT() {}

  // Initialize data members.
  void init(Settings& settings, ParticleData& particleData, Rndm* rndmPtrIn);

};
 
//==========================================================================

// The HVStringZ class is used to sample the HV fragmentation function f(z).

class HVStringZ : public StringZ {

public:

  // Constructor.
  HVStringZ() {}

  // Destructor.
  ~HVStringZ() {}

  // Initialize data members.
  void init(Settings& settings, ParticleData& particleData, Rndm* rndmPtrIn);
  
  // Fragmentation function: top-level to determine parameters.
  double zFrag( int idOld, int idNew = 0, double mT2 = 1.);

  // Parameters for stopping in the middle; for now hardcoded.
  virtual double stopMass()    {return 1.5 * mhvMeson;}
  virtual double stopNewFlav() {return 2.0;}
  virtual double stopSmear()   {return 0.2;}

private:

  // Initialization data, to be read from Settings and ParticleData.
  double mqv2, bmqv2, rFactqv, mhvMeson;

};

//==========================================================================

// The HiddenValleyFragmentation class contains the routines
// to fragment a Hidden Valley partonic system.

class HiddenValleyFragmentation {

public:

  // Constructor.
  HiddenValleyFragmentation() : doHVfrag(false), hvFlavSelPtr(NULL),
    hvPTSelPtr(NULL), hvZSelPtr(NULL) {}

  // Destructor.
  ~HiddenValleyFragmentation() { if (doHVfrag) {
    if (hvZSelPtr) delete hvZSelPtr; if (hvPTSelPtr) delete hvPTSelPtr;
    if (hvFlavSelPtr) delete hvFlavSelPtr;} }

  // Initialize and save pointers.
  bool init(Info* infoPtrIn, Settings& settings,
    ParticleData* particleDataPtrIn, Rndm* rndmPtrIn);

  // Do the fragmentation: driver routine.
  bool fragment(Event& event);

private:

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;

  // Data mambers.
  bool          doHVfrag;
  int           nFlav, hvOldSize, hvNewSize;
  double        mhvMeson, mSys;
  vector   ihvParton;

  // Configuration of colour-singlet systems.
  ColConfig     hvColConfig;

  // Temporary event record for the Hidden Valley system.
  Event         hvEvent;

  // The generator class for Hidden Valley string fragmentation.
  StringFragmentation hvStringFrag;

  // The generator class for special low-mass HV string fragmentation.
  MiniStringFragmentation hvMinistringFrag;

  // Pointers to classes for flavour, pT and z generation in HV sector.
  StringFlav*   hvFlavSelPtr;
  StringPT*     hvPTSelPtr;
  StringZ*      hvZSelPtr;

  // Extract HV-particles from event to hvEvent. Assign HV-colours.
  bool extractHVevent(Event& event);

  // Collapse of low-mass system to one HV-meson.
  bool collapseToMeson();

  // Insert HV particles from hvEvent to event.
  bool insertHVevent(Event& event);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_HiddenValleyFragmentation_H
pythia8-8.1.86.orig/include/Pythia8/FragmentationFlavZpT.h0000644000175000017500000001517212357054733021545 0ustar  sunsun// FragmentationFlavZpT.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains helper classes for fragmentation.
// StringFlav is used to select quark and hadron flavours.
// StringPT is used to select transverse momenta.
// StringZ is used to sample the fragmentation function f(z).

#ifndef Pythia8_FragmentationFlavZpT_H
#define Pythia8_FragmentationFlavZpT_H

#include "Pythia8/Basics.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// The FlavContainer class is a simple container for flavour,
// including the extra properties needed for popcorn baryon handling.
// id = current flavour.
// rank = current rank; 0 for endpoint flavour and then increase by 1.
// nPop = number of popcorn mesons yet to be produced (1 or 0).
// idPop = (absolute sign of) popcorn quark, shared between B and Bbar.
// idVtx = (absolute sign of) vertex (= non-shared) quark in diquark.

class FlavContainer {

public:

  // Constructor.
  FlavContainer(int idIn = 0, int rankIn = 0, int nPopIn = 0,
    int idPopIn = 0, int idVtxIn = 0) : id(idIn), rank(rankIn),
    nPop(nPopIn), idPop(idPopIn), idVtx(idVtxIn) {}

  // Overloaded equal operator.
  FlavContainer& operator=(const FlavContainer& flav) { if (this != &flav) {
    id = flav.id; rank = flav.rank; nPop = flav.nPop; idPop = flav.idPop;
    idVtx = flav.idVtx; } return *this; }

  // Invert flavour.
  FlavContainer& anti() {id = -id; return *this;}

  // Read in a container into another, without/with id sign flip.
  FlavContainer& copy(const FlavContainer& flav) { if (this != &flav) {
    id = flav.id; rank = flav.rank; nPop = flav.nPop; idPop = flav.idPop;
    idVtx = flav.idVtx; } return *this; }
  FlavContainer& anti(const FlavContainer& flav) { if (this != &flav) {
    id = -flav.id; rank = flav.rank; nPop = flav.nPop; idPop = flav.idPop;
    idVtx = flav.idVtx; } return *this; }

  // Check whether is diquark.
  bool isDiquark() {int idAbs = abs(id);
    return (idAbs > 1000 && idAbs < 10000 && (idAbs/10)%10 == 0);}

  // Stored properties.
  int id, rank, nPop, idPop, idVtx;
  
};

//==========================================================================

// The StringFlav class is used to select quark and hadron flavours.

class StringFlav {

public:

  // Constructor.
  StringFlav() {}

  // Destructor.
  virtual ~StringFlav() {}

  // Initialize data members.
  virtual void init(Settings& settings, Rndm* rndmPtrIn);

  // Pick a light d, u or s quark according to fixed ratios.
  int pickLightQ() { double rndmFlav = probQandS * rndmPtr->flat();
    if (rndmFlav < 1.) return 1; if (rndmFlav < 2.) return 2; return 3; }

  // Pick a new flavour (including diquarks) given an incoming one.
  virtual FlavContainer pick(FlavContainer& flavOld);

  // Combine two flavours (including diquarks) to produce a hadron.
  virtual int combine(FlavContainer& flav1, FlavContainer& flav2);

  // Assign popcorn quark inside an original (= rank 0) diquark.
  void assignPopQ(FlavContainer& flav);

  // Combine two quarks to produce a diquark.
  int makeDiquark(int id1, int id2, int idHad = 0);

protected:

  // Pointer to the random number generator.
  Rndm*  rndmPtr;

private:

  // Constants: could only be changed in the code itself.
  static const int    mesonMultipletCode[6];
  static const double baryonCGOct[6], baryonCGDec[6];

  // Initialization data, to be read from Settings.
  bool   suppressLeadingB;
  double probQQtoQ, probStoUD, probSQtoQQ, probQQ1toQQ0, probQandQQ,
         probQandS, probQandSinQQ, probQQ1corr, probQQ1corrInv, probQQ1norm,
         probQQ1join[4], mesonRate[4][6], mesonRateSum[4], mesonMix1[2][6], 
         mesonMix2[2][6], etaSup, etaPrimeSup, decupletSup, baryonCGSum[6], 
         baryonCGMax[6], popcornRate, popcornSpair, popcornSmeson, scbBM[3], 
         popFrac, popS[3], dWT[3][7], lightLeadingBSup, heavyLeadingBSup;

};
 
//==========================================================================

// The StringZ class is used to sample the fragmentation function f(z).

class StringZ {

public:

  // Constructor.
  StringZ() {}

  // Destructor.
  virtual ~StringZ() {}

  // Initialize data members.
  virtual void init(Settings& settings, ParticleData& particleData,
    Rndm* rndmPtrIn);
  
  // Fragmentation function: top-level to determine parameters.
  virtual double zFrag( int idOld, int idNew = 0, double mT2 = 1.);

  // Parameters for stopping in the middle; overloaded for Hidden Valley.
  virtual double stopMass() {return stopM;}
  virtual double stopNewFlav() {return stopNF;}
  virtual double stopSmear() {return stopS;}

  // b fragmentation parameter needed to weight final two solutions.
  virtual double bAreaLund() {return bLund;}

protected:

  // Constants: could only be changed in the code itself.
  static const double CFROMUNITY, AFROMZERO, AFROMC, EXPMAX;

  // Initialization data, to be read from Settings.
  bool   useNonStandC, useNonStandB, useNonStandH,
         usePetersonC, usePetersonB, usePetersonH;
  double mc2, mb2, aLund, bLund, aExtraSQuark, aExtraDiquark, rFactC,
         rFactB, rFactH, aNonC, aNonB, aNonH, bNonC, bNonB, bNonH,
         epsilonC, epsilonB, epsilonH, stopM, stopNF, stopS;

  // Fragmentation function: select z according to provided parameters.
  double zLund( double a, double b, double c = 1.);
  double zPeterson( double epsilon);

  // Pointer to the random number generator.
  Rndm*  rndmPtr;

};
 
//==========================================================================

// The StringPT class is used to select select transverse momenta.

class StringPT {

public:

  // Constructor.
  StringPT() {}

  // Destructor.
  virtual ~StringPT() {}

  // Initialize data members.
  virtual void init(Settings& settings, ParticleData& particleData,
    Rndm* rndmPtrIn);

  // Return px and py as a pair in the same call.
  pair  pxy();

  // Gaussian suppression of given pT2; used in MiniStringFragmentation.
  double suppressPT2(double pT2) { return exp( -pT2 / sigma2Had); }

protected:

  // Constants: could only be changed in the code itself.
  static const double SIGMAMIN;

  // Initialization data, to be read from Settings.
  double sigmaQ, enhancedFraction, enhancedWidth, sigma2Had;

  // Pointer to the random number generator.
  Rndm*  rndmPtr;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_FragmentationFlavZpT_H
pythia8-8.1.86.orig/include/Pythia8/Pythia.h0000644000175000017500000002752412357054735016744 0ustar  sunsun// Pythia.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file contains the main class for event generation.
// Pythia: provide the main user interface to everything else.

#ifndef Pythia8_Pythia_H
#define Pythia8_Pythia_H

#include "Pythia8/Analysis.h"
#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/BeamShape.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/HadronLevel.h"
#include "Pythia8/History.h"
#include "Pythia8/Info.h"
#include "Pythia8/LesHouches.h"
#include "Pythia8/PartonLevel.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/PartonSystems.h"
#include "Pythia8/ProcessLevel.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/ResonanceWidths.h"
#include "Pythia8/RHadrons.h"
#include "Pythia8/Settings.h"
#include "Pythia8/SigmaTotal.h"
#include "Pythia8/SpaceShower.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/SLHAinterface.h"
#include "Pythia8/TimeShower.h"
#include "Pythia8/UserHooks.h"
#include "Pythia8/MergingHooks.h"
#include "Pythia8/Merging.h"

namespace Pythia8 {
 
//==========================================================================

// The Pythia class contains the top-level routines to generate an event.

class Pythia {

public:

  // Constructor. (See Pythia.cc file.)
  Pythia(string xmlDir = "../xmldoc", bool printBanner = true);

  // Destructor. (See Pythia.cc file.)
  ~Pythia();

  // Read in one update for a setting or particle data from a single line.
  bool readString(string, bool warn = true);
 
  // Read in updates for settings or particle data from user-defined file.
  bool readFile(string fileName, bool warn = true,
    int subrun = SUBRUNDEFAULT);
  bool readFile(string fileName, int subrun) {
    return readFile(fileName, true, subrun);}
  bool readFile(istream& is = cin, bool warn = true,
    int subrun = SUBRUNDEFAULT);
  bool readFile(istream& is, int subrun) {
    return readFile(is, true, subrun);}

  // Possibility to pass in pointers to PDF's.
  bool setPDFPtr( PDF* pdfAPtrIn, PDF* pdfBPtrIn, PDF* pdfHardAPtrIn = 0,
    PDF* pdfHardBPtrIn = 0, PDF* pdfPomAPtrIn = 0, PDF* pdfPomBPtrIn = 0);

  // Possibility to pass in pointer to external LHA-interfaced generator.
  bool setLHAupPtr( LHAup* lhaUpPtrIn) {lhaUpPtr = lhaUpPtrIn; return true;}

  // Possibility to pass in pointer for external handling of some decays.
  bool setDecayPtr( DecayHandler* decayHandlePtrIn,
    vector handledParticlesIn) {decayHandlePtr = decayHandlePtrIn;
    handledParticles.resize(0);
    for(int i = 0; i < int(handledParticlesIn.size()); ++i)
    handledParticles.push_back( handledParticlesIn[i] ); return true;}

  // Possibility to pass in pointer for external random number generation.
  bool setRndmEnginePtr( RndmEngine* rndmEnginePtrIn)
    { return rndm.rndmEnginePtr( rndmEnginePtrIn);}

  // Possibility to pass in pointer for user hooks.
  bool setUserHooksPtr( UserHooks* userHooksPtrIn)
    { userHooksPtr = userHooksPtrIn; return true;}

  // Possibility to pass in pointer for merging hooks.
  bool setMergingHooksPtr( MergingHooks* mergingHooksPtrIn)
    { mergingHooksPtr = mergingHooksPtrIn; return true;}

  // Possibility to pass in pointer for beam shape.
  bool setBeamShapePtr( BeamShape* beamShapePtrIn)
    { beamShapePtr = beamShapePtrIn; return true;}

  // Possibility to pass in pointer(s) for external cross section.
  bool setSigmaPtr( SigmaProcess* sigmaPtrIn)
    { sigmaPtrs.push_back( sigmaPtrIn); return true;}

  // Possibility to pass in pointer(s) for external resonance.
  bool setResonancePtr( ResonanceWidths* resonancePtrIn)
    { resonancePtrs.push_back( resonancePtrIn); return true;}

  // Possibility to pass in pointer for external showers.
  bool setShowerPtr( TimeShower* timesDecPtrIn,
    TimeShower* timesPtrIn = 0, SpaceShower* spacePtrIn = 0)
    { timesDecPtr = timesDecPtrIn; timesPtr = timesPtrIn;
    spacePtr = spacePtrIn; return true;}

  // Initialization using the Beams variables.
  bool init();

  // Deprecated: initialization in the CM frame.
  bool init( int idAin, int idBin, double eCMin);

  // Deprecated: initialization with two collinear beams, e.g. fixed target.
  bool init( int idAin, int idBin, double eAin, double eBin);

  // Deprecated: initialization with two acollinear beams.
  bool init( int idAin, int idBin, double pxAin, double pyAin,
    double pzAin, double pxBin, double pyBin, double pzBin);

  // Deprecated: initialization by a Les Houches Event File.
  bool init( string LesHouchesEventFile, bool skipInit = false);

  // Deprecated: initialization according to the Les Houches Accord.
  bool init( LHAup* lhaUpPtrIn);

  // Generate the next event.
  bool next();

  // Generate only a single timelike shower as in a decay.
  int forceTimeShower( int iBeg, int iEnd, double pTmax, int nBranchMax = 0)
    { info.setScalup( 0, pTmax);
    return timesDecPtr->shower( iBeg, iEnd, event, pTmax, nBranchMax); }

  // Generate only the hadronization/decay stage.
  bool forceHadronLevel( bool findJunctions = true);

  // Special routine to allow more decays if on/off switches changed.
  bool moreDecays() {return hadronLevel.moreDecays(event);}

  // Special routine to force R-hadron decay when not done before.
  bool forceRHadronDecays() {return doRHadronDecays();}

  // List the current Les Houches event.
  void LHAeventList(ostream& os = cout) {
    if (lhaUpPtr != 0) lhaUpPtr->listEvent(os);}

  // Skip a number of Les Houches events at input.
  bool LHAeventSkip(int nSkip) {
    if (lhaUpPtr != 0) return lhaUpPtr->skipEvent(nSkip); return false;}

  // Main routine to provide final statistics on generation.
  void stat();

  // Deprecated: alternative to provide final statistics on generation.
  void statistics(bool all = false, bool reset = false);

  // Read in settings values: shorthand, not new functionality.
  bool   flag(string key) {return settings.flag(key);}
  int    mode(string key) {return settings.mode(key);}
  double parm(string key) {return settings.parm(key);}
  string word(string key) {return settings.word(key);}

  // Auxiliary to set parton densities among list of possibilities.
  PDF* getPDFPtr(int idIn, int sequence = 1);

  // The event record for the parton-level central process.
  Event          process;

  // The event record for the complete event history.
  Event          event;

  // Information on the generation: current subprocess and error statistics.
  Info           info;

  // Settings: databases of flags/modes/parms/words to control run.
  Settings       settings;

  // ParticleData: the particle data table/database.
  ParticleData   particleData;

  // Random number generator.
  Rndm           rndm;

  // Standard Model couplings, including alphaS and alphaEM.
  Couplings      couplings;
  Couplings*     couplingsPtr;

  // SLHA Interface
  SLHAinterface slhaInterface;

  // The partonic content of each subcollision system (auxiliary to event).
  PartonSystems  partonSystems;

  // Merging object as wrapper for matrix element merging routines.
  Merging        merging;

  // Pointer to MergingHooks object for user interaction with the merging.
  // MergingHooks also more generally steers the matrix element merging.
  MergingHooks*  mergingHooksPtr;

private:

  // Copy and = constructors are made private so they cannot be used.
  Pythia(const Pythia&);
  Pythia& operator=(const Pythia&);

  // Constants: could only be changed in the code itself.
  static const double VERSIONNUMBERCODE;
  static const int    NTRY, SUBRUNDEFAULT;

  // Initialization data, extracted from database.
  string xmlPath;
  bool   doProcessLevel, doPartonLevel, doHadronLevel, doDiffraction,
         doResDec, doFSRinRes, decayRHadrons, abortIfVeto, checkEvent,
         checkHistory;
  int    nErrList;
  double epTolErr, epTolWarn;

  // Initialization data, extracted from init(...) call.
  bool   isConstructed, isInit, isUnresolvedA, isUnresolvedB, showSaV,
         showMaD;
  int    idA, idB, frameType, boostType, nCount, nShowLHA, nShowInfo,
         nShowProc, nShowEvt;
  double mA, mB, pxA, pxB, pyA, pyB, pzA, pzB, eA, eB,
         pzAcm, pzBcm, eCM, betaZ, gammaZ;
  Vec4   pAinit, pBinit, pAnow, pBnow;
  RotBstMatrix MfromCM, MtoCM;

  // information for error checkout.
  int    nErrEvent;
  vector iErrId, iErrCol, iErrEpm, iErrNan, iErrNanVtx;

  // Pointers to the parton distributions of the two incoming beams.
  PDF* pdfAPtr;
  PDF* pdfBPtr;

  // Extra PDF pointers to be used in hard processes only.
  PDF* pdfHardAPtr;
  PDF* pdfHardBPtr;

  // Extra Pomeron PDF pointers to be used in diffractive processes only.
  PDF* pdfPomAPtr;
  PDF* pdfPomBPtr;

  // Keep track when "new" has been used and needs a "delete" for PDF's.
  bool useNewPdfA, useNewPdfB, useNewPdfHard, useNewPdfPomA, useNewPdfPomB;

  // The two incoming beams.
  BeamParticle beamA;
  BeamParticle beamB;

  // Alternative Pomeron beam-inside-beam.
  BeamParticle beamPomA;
  BeamParticle beamPomB;

  // LHAup object for generating external events.
  bool   doLHA, useNewLHA;
  LHAup* lhaUpPtr;

  // Pointer to external decay handler and list of particles it handles.
  DecayHandler* decayHandlePtr;
  vector   handledParticles;

  // Pointer to UserHooks object for user interaction with program.
  UserHooks* userHooksPtr;
  bool       hasUserHooks, doVetoProcess, doVetoPartons, retryPartonLevel;

  // Pointer to BeamShape object for beam momentum and interaction vertex.
  BeamShape* beamShapePtr;
  bool       useNewBeamShape, doMomentumSpread, doVertexSpread;

  // Pointers to external processes derived from the Pythia base classes.
  vector sigmaPtrs;

  // Pointers to external calculation of resonance widths.
  vector resonancePtrs;

  // Pointers to timelike and spacelike showers.
  TimeShower*  timesDecPtr;
  TimeShower*  timesPtr;
  SpaceShower* spacePtr;
  bool         useNewTimes, useNewSpace;

  // The main generator class to define the core process of the event.
  ProcessLevel processLevel;

  // The main generator class to produce the parton level of the event.
  PartonLevel partonLevel;

  // The main generator class to perform trial showers of the event.
  PartonLevel trialPartonLevel;

  // Flags for defining the merging scheme.
  bool        hasMergingHooks, hasOwnMergingHooks, doMerging;

  // The main generator class to produce the hadron level of the event.
  HadronLevel hadronLevel;

  // The total cross section class is used both on process and parton level.
  SigmaTotal sigmaTot;

  // The RHadrons class is used both at PartonLevel and HadronLevel.
  RHadrons   rHadrons;

  // Write the Pythia banner, with symbol and version information.
  void banner(ostream& os = cout);

  // Check for lines in file that mark the beginning of new subrun.
  int readSubrun(string line, bool warn = true, ostream& os = cout);

  // Check for lines that mark the beginning or end of commented section.
  int readCommented(string line);

  // Check that combinations of settings are allowed; change if not.
  void checkSettings();

  // Check that beams and beam combination can be handled.
  bool checkBeams();

  // Calculate kinematics at initialization.
  bool initKinematics();

  // Set up pointers to PDFs.
  bool initPDFs();

  // Recalculate kinematics for each event when beam momentum has a spread.
  void nextKinematics();

  // Boost from CM frame to lab frame, or inverse. Set production vertex.
  void boostAndVertex(bool toLab, bool setVertex);

  // Perform R-hadron decays.
  bool doRHadronDecays();

  // Check that the final event makes sense.
  bool check(ostream& os = cout);

  // Initialization of SLHA data.
  bool initSLHA ();

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_Pythia_H
pythia8-8.1.86.orig/include/Pythia8/ParticleData.h0000644000175000017500000006455412357054734020046 0ustar  sunsun// ParticleData.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for the classes containing particle data.
// DecayChannel contains info on a single decay channel.
// ParticleDataEntry contains info on a single particle species.
// ParticleData collects info on all particles as a map.

#ifndef Pythia8_ParticleData_H
#define Pythia8_ParticleData_H

#include "Pythia8/Basics.h"
#include "Pythia8/Info.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"

namespace Pythia8 {

//==========================================================================

// Forward reference to some classes.
class ParticleData;
class ResonanceWidths;
class Couplings;
class CoupSUSY;
class SUSYResonanceWidths;

//==========================================================================

// This class holds info on a single decay channel.

class DecayChannel {

public:
  // Constructor.
  DecayChannel(int onModeIn = 0, double bRatioIn = 0., int meModeIn = 0,
    int prod0 = 0, int prod1 = 0, int prod2 = 0, int prod3 = 0,
    int prod4 = 0, int prod5 = 0, int prod6 = 0, int prod7 = 0)
    : onModeSave(onModeIn), bRatioSave(bRatioIn), currentBRSave(0.),
    onShellWidthSave(0.), openSecPos(1.), openSecNeg(1.),
    meModeSave(meModeIn), nProd(0), hasChangedSave(true) {
    prod[0] = prod0; prod[1] = prod1; prod[2] = prod2; prod[3] = prod3;
    prod[4] = prod4; prod[5] = prod5; prod[6] = prod6; prod[7] = prod7;
    for (int j = 0; j < 8; ++j) if (prod[j] != 0 && j == nProd) ++nProd; }

  // Member functions for input.
  void onMode(int onModeIn) {onModeSave = onModeIn; hasChangedSave = true;}
  void bRatio(double bRatioIn, bool countAsChanged = true) {
    bRatioSave = bRatioIn; if (countAsChanged) hasChangedSave = true;}
  void rescaleBR(double fac) {bRatioSave *= fac; hasChangedSave = true;}
  void meMode(int meModeIn) {meModeSave = meModeIn; hasChangedSave = true;}
  void multiplicity(int multIn)  {nProd = multIn; hasChangedSave = true;}
  void product(int i, int prodIn) {prod[i] = prodIn; nProd = 0;
    for (int j = 0; j < 8; ++j) if (prod[j] != 0 && j == nProd) ++nProd;
    hasChangedSave = true;}
  void setHasChanged(bool hasChangedIn) {hasChangedSave = hasChangedIn;}

  // Member functions for output.
  int    onMode()       const {return onModeSave;}
  double bRatio()       const {return bRatioSave;}
  int    meMode()       const {return meModeSave;}
  int    multiplicity() const {return nProd;}
  int    product(int i) const {return (i >= 0 && i < nProd) ? prod[i] : 0;}
  bool   hasChanged()   const { return hasChangedSave;}

  // Check for presence of particles anywhere in decay list.
  bool   contains(int id1) const;
  bool   contains(int id1, int id2) const;
  bool   contains(int id1, int id2, int id3) const;

  // Input/output for current selection of decay modes.
  // Takes into account on/off switches and dynamic width for resonances.
  void   currentBR(double currentBRIn) {currentBRSave = currentBRIn;}
  double currentBR() const {return currentBRSave;}

  // Input/output for nominal partial width; used by resonances.
  void   onShellWidth(double onShellWidthIn) {
         onShellWidthSave = onShellWidthIn;}
  double onShellWidth() const {return onShellWidthSave;}
  void   onShellWidthFactor(double factor) {onShellWidthSave *= factor;}

  // Input/output for fraction of secondary open widths; used by resonances.
  void   openSec(int idSgn, double openSecIn) {
    if (idSgn > 0) openSecPos = openSecIn; else openSecNeg = openSecIn;}
  double openSec(int idSgn) const {
    return (idSgn > 0) ? openSecPos : openSecNeg;}

private:

  // Decay channel info.
  int    onModeSave;
  double bRatioSave, currentBRSave, onShellWidthSave, openSecPos,
         openSecNeg;
  int    meModeSave, nProd, prod[8];
  bool   hasChangedSave;

};

//==========================================================================

// This class holds info on a single particle species.

class ParticleDataEntry {

public:

  // Constructors: for antiparticle exists or not.
  ParticleDataEntry(int idIn = 0, string nameIn = " ",
    int spinTypeIn = 0, int chargeTypeIn = 0, int colTypeIn = 0,
    double m0In = 0., double mWidthIn = 0., double mMinIn = 0.,
    double mMaxIn = 0., double tau0In = 0.) : idSave(abs(idIn)),
    nameSave(nameIn), antiNameSave("void"),  spinTypeSave(spinTypeIn),
    chargeTypeSave(chargeTypeIn), colTypeSave(colTypeIn), m0Save(m0In),
    mWidthSave (mWidthIn), mMinSave(mMinIn), mMaxSave(mMaxIn),
    tau0Save(tau0In), hasAntiSave(false), hasChangedSave(true),
    resonancePtr(0) {setDefaults();}
  ParticleDataEntry(int idIn, string nameIn, string antiNameIn,
    int spinTypeIn = 0, int chargeTypeIn = 0, int colTypeIn = 0,
    double m0In = 0., double mWidthIn = 0., double mMinIn = 0.,
    double mMaxIn = 0., double tau0In = 0.) : idSave(abs(idIn)),
    nameSave(nameIn), antiNameSave(antiNameIn), spinTypeSave(spinTypeIn),
    chargeTypeSave(chargeTypeIn), colTypeSave(colTypeIn), m0Save(m0In),
    mWidthSave (mWidthIn), mMinSave(mMinIn), mMaxSave(mMaxIn),
    tau0Save(tau0In), hasAntiSave(true), hasChangedSave(true),
    resonancePtr(0) {setDefaults();
    if (toLower(antiNameIn) == "void") hasAntiSave = false;}

  // Destructor: delete any ResonanceWidths object.
  ~ParticleDataEntry();

  // Initialization of some particle flags.
  void setDefaults();

  // Store pointer to whole particle data table/database.
  void initPtr( ParticleData* particleDataPtrIn) {
    particleDataPtr = particleDataPtrIn;}

  // Reset all the properties of an existing particle.
  void setAll(string nameIn, string antiNameIn, int spinTypeIn = 0,
    int chargeTypeIn = 0, int colTypeIn = 0, double m0In = 0.,
    double mWidthIn = 0., double mMinIn = 0., double mMaxIn = 0.,
    double tau0In = 0.)
    {nameSave = nameIn; antiNameSave = antiNameIn; hasAntiSave = true;
    if (toLower(antiNameIn) == "void") hasAntiSave = false;
    spinTypeSave = spinTypeIn; chargeTypeSave = chargeTypeIn;
    colTypeSave = colTypeIn; m0Save = m0In; mWidthSave = mWidthIn;
    mMinSave = mMinIn; mMaxSave = mMaxIn; tau0Save = tau0In;
    setDefaults(); hasChangedSave = true;}

  // Change current values one at a time (or set if not set before).
  // (Must use set here since else name+signature clash with get methods.)
  void setName(string nameIn) {nameSave = nameIn; hasChangedSave = true;}
  void setAntiName(string antiNameIn) {antiNameSave = antiNameIn;
    hasChangedSave = true;}
  void setNames(string nameIn, string antiNameIn) {nameSave = nameIn;
    antiNameSave = antiNameIn; hasAntiSave = true; if (toLower(antiNameIn)
    == "void") hasAntiSave = false; hasChangedSave = true;}
  void setSpinType(int spinTypeIn) {spinTypeSave = spinTypeIn;
    hasChangedSave = true;}
  void setChargeType(int chargeTypeIn) {chargeTypeSave = chargeTypeIn;
    hasChangedSave = true;}
  void setColType(int colTypeIn) {colTypeSave = colTypeIn;
    hasChangedSave = true;}
  void setM0(double m0In) {m0Save = m0In; setConstituentMass();
    hasChangedSave = true;}
  void setMWidth(double mWidthIn, bool countAsChanged = true) {
    mWidthSave = mWidthIn; if (countAsChanged) hasChangedSave = true;}
  void setMMin(double mMinIn) {mMinSave = mMinIn; hasChangedSave = true;}
  void setMMax(double mMaxIn) {mMaxSave = mMaxIn; hasChangedSave = true;}
  // Special options specifically when cutting wings of Breit-Wigners.
  void setMMinNoChange(double mMinIn) {mMinSave = mMinIn;}
  void setMMaxNoChange(double mMaxIn) {mMaxSave = mMaxIn;}
  void setTau0(double tau0In) {tau0Save = tau0In; hasChangedSave = true;}
  void setIsResonance(bool isResonanceIn) {isResonanceSave = isResonanceIn;
    hasChangedSave = true;}
  void setMayDecay(bool mayDecayIn, bool countAsChanged = true) {
    mayDecaySave = mayDecayIn; if (countAsChanged) hasChangedSave = true;}
  void setDoExternalDecay(bool doExternalDecayIn)
    {doExternalDecaySave = doExternalDecayIn; hasChangedSave = true;}
  void setIsVisible(bool isVisibleIn) {isVisibleSave = isVisibleIn;
    hasChangedSave = true;}
  void setDoForceWidth(bool doForceWidthIn) {doForceWidthSave = doForceWidthIn;
    hasChangedSave = true;}
  void setHasChanged(bool hasChangedIn) {hasChangedSave = hasChangedIn;
    for (int i = 0; i < int(channels.size()); ++i)
      channels[i].setHasChanged(hasChangedIn);}

  // Give back current values.
  int    id()                     const { return idSave; }
  bool   hasAnti()                const { return hasAntiSave; }
  string name(int idIn = 1)       const {
         return (idIn > 0) ? nameSave : antiNameSave; }
  int    spinType() const {return spinTypeSave; }
  int    chargeType(int idIn = 1) const {
         return (idIn > 0) ? chargeTypeSave : -chargeTypeSave; }
  double charge(int idIn = 1)     const {
         return (idIn > 0) ? chargeTypeSave / 3. : -chargeTypeSave / 3.; }
  int    colType(int idIn = 1)    const {
         if (colTypeSave == 2) return colTypeSave;
         return (idIn > 0) ? colTypeSave : -colTypeSave; }
  double m0()                     const { return m0Save; }
  double mWidth()                 const { return mWidthSave; }
  double mMin()                   const { return mMinSave; }
  double mMax()                   const { return mMaxSave; }
  double m0Min()                  const {
         return (modeBWnow == 0) ? m0Save : mMinSave; }
  double m0Max()                  const {
         return (modeBWnow == 0) ? m0Save : mMaxSave; }
  double tau0()                   const { return tau0Save; }
  bool   isResonance()            const { return isResonanceSave; }
  bool   mayDecay()               const { return mayDecaySave; }
  bool   doExternalDecay()        const { return doExternalDecaySave; }
  bool   isVisible()              const { return isVisibleSave; }
  bool   doForceWidth()           const { return doForceWidthSave; }
  bool   hasChanged()     const { if (hasChangedSave) return true;
         for (int i = 0; i < int(channels.size()); ++i)
         if (channels[i].hasChanged()) return true; return false;}

  // Set and give back several mass-related quantities.
  void   initBWmass();
  double constituentMass()        const { return constituentMassSave; }
  double mSel();
  double mRun(double mH);

  // Give back other quantities.
  bool   useBreitWigner() const { return (modeBWnow > 0); }
  bool   canDecay()       const { return (channels.size() > 0);}
  bool   isLepton()       const { return (idSave > 10 && idSave < 19);}
  bool   isQuark()        const { return (idSave != 0 && idSave < 9);}
  bool   isGluon()        const { return (idSave == 21);}
  bool   isDiquark()      const { return (idSave > 1000 && idSave < 10000
         && (idSave/10)%10 == 0);}
  bool   isParton()       const { return ( idSave == 21
    || (idSave != 0 && idSave < 6)
    || (idSave > 1000 && idSave < 5510 && (idSave/10)%10 == 0) );}
  bool   isHadron()       const;
  bool   isMeson()        const;
  bool   isBaryon()       const;

  // Intermediate octet ccbar or bbar states in colour-octet model.
  bool   isOctetHadron()  const {return idSave >= 9940000
      && idSave < 9960000; }
  int    heaviestQuark(int idIn = 1)    const;
  int    baryonNumberType(int idIn = 1) const;

  // Reset to empty decay table.
  void clearChannels() {channels.resize(0);}

  // Add a decay channel to the decay table.
  void addChannel(int onMode = 0, double bRatio = 0., int meMode = 0,
    int prod0 = 0, int prod1 = 0, int prod2 = 0, int prod3 = 0,
    int prod4 = 0, int prod5 = 0, int prod6 = 0, int prod7 = 0) {
    channels.push_back( DecayChannel( onMode, bRatio, meMode, prod0,
    prod1, prod2, prod3, prod4, prod5, prod6, prod7) ); }

  // Decay table size.
  int sizeChannels() const {return channels.size();}

  // Gain access to a channel in the decay table.
  DecayChannel& channel(int i){return channels[i];}
  const DecayChannel& channel(int i) const {return channels[i];}

  // Rescale sum of branching ratios to unity.
  void rescaleBR(double newSumBR = 1.);

  // Random choice of decay channel according to branching ratios.
  bool preparePick(int idSgn, double mHat = 0., int idInFlav = 0);
  DecayChannel& pickChannel();

  // Access methods stored in ResonanceWidths.
  void   setResonancePtr(ResonanceWidths* resonancePtrIn);
  ResonanceWidths* getResonancePtr() {return resonancePtr;}
  void   resInit(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, Couplings* couplingsPtrIn);
  double resWidth(int idSgn, double mHat, int idIn = 0,
    bool openOnly = false, bool setBR = false);
  double resWidthOpen(int idSgn, double mHat, int idIn = 0);
  double resWidthStore(int idSgn, double mHat, int idIn = 0);
  double resOpenFrac(int idSgn);
  double resWidthRescaleFactor();
  double resWidthChan(double mHat, int idAbs1 = 0, int idAbs2 = 0);

private:

  // Constants: could only be changed in the code itself.
  static const int    INVISIBLENUMBER, INVISIBLETABLE[50], KNOWNNOWIDTH[3];
  static const double MAXTAU0FORDECAY,MINMASSRESONANCE, NARROWMASS,
                      CONSTITUENTMASSTABLE[10];

  // Particle data.
  int    idSave;
  string nameSave, antiNameSave;
  int    spinTypeSave, chargeTypeSave, colTypeSave;
  double m0Save, mWidthSave, mMinSave, mMaxSave, tau0Save,
         constituentMassSave;
  bool   hasAntiSave, isResonanceSave, mayDecaySave, doExternalDecaySave,
         isVisibleSave, doForceWidthSave, hasChangedSave;

  // Extra data for mass selection according to a Breit-Wigner.
  int    modeBWnow;
  double atanLow, atanDif, mThr;

  // A vector containing all the decay channels of the particle.
  vector channels;

  // Summed branching ratio of currently open channels.
  double currentBRSum;

  // Pointer to ResonanceWidths object; only used for some particles.
  ResonanceWidths* resonancePtr;

  // Pointer to the full particle data table.
  ParticleData* particleDataPtr;

  // Set constituent mass.
  void setConstituentMass();

  // Useful functions for string handling.
  string toLower(const string& nameConv) { string temp(nameConv);
    for (int i = 0; i < int(temp.length()); ++i) temp[i] = tolower(temp[i]);
    return temp; }

};

//==========================================================================

// This class holds a map of all ParticleDataEntries.

class ParticleData {

public:

  // Constructor.
  ParticleData() : infoPtr(0), settingsPtr(0), rndmPtr(0), couplingsPtr(0),
    particlePtr(0), isInit(false), readingFailedSave(false) {}

  // Initialize pointers.
  void initPtr(Info* infoPtrIn, Settings* settingsPtrIn, Rndm* rndmPtrIn,
    Couplings* couplingsPtrIn) {infoPtr = infoPtrIn;
    settingsPtr = settingsPtrIn; rndmPtr = rndmPtrIn;
    couplingsPtr = couplingsPtrIn;}
 
  // Read in database from specific file.
  bool init(string startFile = "../xmldoc/ParticleData.xml") {
    initCommon(); return readXML(startFile);}

  // Overwrite existing database by reading from specific file.
  bool reInit(string startFile, bool xmlFormat = true) { initCommon();
    return (xmlFormat) ? readXML(startFile) : readFF(startFile);}

  // Initialize pointers, normal Breit-Wigners and special resonances.
  void initWidths(vector resonancePtrs);

  // Read or list whole (or part of) database from/to an XML file.
  bool readXML(string inFile, bool reset = true) ;
  void listXML(string outFile);

  // Read or list whole (or part of) database from/to a free format file.
  bool readFF(string inFile, bool reset = true) ;
  void listFF(string outFile);

  // Read in one update from a single line.
  bool readString(string lineIn, bool warn = true, ostream& os = cout) ;

  // Keep track whether any readings have failed, invalidating run setup.
  bool readingFailed() {return readingFailedSave;}

  // Print out table of whole database, or of only part of it.
  void listAll(ostream& os = cout) {list(false, true, os);}
  void listChanged(ostream& os = cout) {list(true, false, os);}
  void listChanged(bool changedRes, ostream& os = cout) {
    list(true, changedRes, os);}
  void list(bool changedOnly = false, bool changedRes = true,
    ostream& os = cout);

  // Print out specified particles.
  void list(int idList, ostream& os = cout) {vector idListTemp;
    idListTemp.push_back(idList); list( idListTemp, os);}
  void list(vector idList, ostream& os = cout);

  // Check that table makes sense, especially for decays.
  void checkTable(ostream& os = cout) {checkTable(1, os);};
  void checkTable(int verbosity, ostream& os = cout) ;
 
  // Add new entry.
  void addParticle(int idIn, string nameIn = " ", int spinTypeIn = 0,
    int chargeTypeIn = 0, int colTypeIn = 0, double m0In = 0.,
    double mWidthIn = 0., double mMinIn = 0., double mMaxIn = 0.,
    double tau0In = 0.) { pdt[abs(idIn)] = ParticleDataEntry(idIn,
    nameIn, spinTypeIn, chargeTypeIn, colTypeIn, m0In, mWidthIn,
    mMinIn, mMaxIn, tau0In); pdt[abs(idIn)].initPtr(this); }
  void addParticle(int idIn, string nameIn, string antiNameIn,
    int spinTypeIn = 0, int chargeTypeIn = 0, int colTypeIn = 0,
    double m0In = 0., double mWidthIn = 0., double mMinIn = 0.,
    double mMaxIn = 0., double tau0In = 0.) { pdt[abs(idIn)]
    = ParticleDataEntry(idIn, nameIn, antiNameIn, spinTypeIn,
    chargeTypeIn, colTypeIn, m0In, mWidthIn, mMinIn, mMaxIn, tau0In);
    pdt[abs(idIn)].initPtr(this); }

  // Reset all the properties of an entry in one go.
  void setAll(int idIn, string nameIn, string antiNameIn,
    int spinTypeIn = 0, int chargeTypeIn = 0, int colTypeIn = 0,
    double m0In = 0., double mWidthIn = 0., double mMinIn = 0.,
    double mMaxIn = 0.,double tau0In = 0.) { if (isParticle(idIn))
    pdt[abs(idIn)].setAll( nameIn, antiNameIn, spinTypeIn, chargeTypeIn,
    colTypeIn, m0In, mWidthIn, mMinIn, mMaxIn, tau0In); }

  // Query existence of an entry.
  bool isParticle(int idIn) {
    if (pdt.find(abs(idIn)) == pdt.end()) return false;
    if (idIn > 0 || pdt[abs(idIn)].hasAnti()) return true;
    return false; }

  // Return the id of the sequentially next particle stored in table.
  int nextId(int idIn) ;

  // Change current values one at a time (or set if not set before).
  void name(int idIn, string nameIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setName(nameIn); }
  void antiName(int idIn, string antiNameIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setAntiName(antiNameIn); }
  void names(int idIn, string nameIn, string antiNameIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setNames(nameIn, antiNameIn); }
  void spinType(int idIn, int spinTypeIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setSpinType(spinTypeIn); }
  void chargeType(int idIn, int chargeTypeIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setChargeType(chargeTypeIn); }
  void colType(int idIn, int colTypeIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setColType(colTypeIn); }
  void m0(int idIn, double m0In) {
    if (isParticle(idIn)) pdt[abs(idIn)].setM0(m0In); }
  void mWidth(int idIn, double mWidthIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setMWidth(mWidthIn); }
  void mMin(int idIn, double mMinIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setMMin(mMinIn); }
  void mMax(int idIn, double mMaxIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setMMax(mMaxIn); }
  void tau0(int idIn, double tau0In) {
    if (isParticle(idIn)) pdt[abs(idIn)].setTau0(tau0In); }
  void isResonance(int idIn, bool isResonanceIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setIsResonance(isResonanceIn); }
  void mayDecay(int idIn, bool mayDecayIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setMayDecay(mayDecayIn); }
  void doExternalDecay(int idIn, bool doExternalDecayIn) {
    if (isParticle(idIn))
    pdt[abs(idIn)].setDoExternalDecay(doExternalDecayIn); }
  void isVisible(int idIn, bool isVisibleIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setIsVisible(isVisibleIn); }
  void doForceWidth(int idIn, bool doForceWidthIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setDoForceWidth(doForceWidthIn); }
  void hasChanged(int idIn, bool hasChangedIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setHasChanged(hasChangedIn); }
 
  // Give back current values.
  bool hasAnti(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].hasAnti() : false ; }
  string name(int idIn) {
    return (isParticle(abs(idIn))) ? pdt[abs(idIn)].name(idIn) : " "; }
  int spinType(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].spinType() : 0 ; }
  int chargeType(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].chargeType(idIn) : 0 ; }
  double charge(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].charge(idIn) : 0 ; }
  int colType(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].colType(idIn) : 0 ; }
  double m0(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].m0() : 0. ; }
  double mWidth(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].mWidth() : 0. ; }
  double mMin(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].mMin() : 0. ; }
  double m0Min(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].m0Min() : 0. ; }
  double mMax(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].mMax() : 0. ; }
  double m0Max(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].m0Max() : 0. ; }
  double tau0(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].tau0() : 0. ; }
  bool isResonance(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isResonance() : false ; }
  bool mayDecay(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].mayDecay() : false ; }
  bool doExternalDecay(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].doExternalDecay() : false ; }
  bool isVisible(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isVisible() : false ; }
  bool doForceWidth(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].doForceWidth() : false ; }
  bool hasChanged(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].hasChanged() : false ; }

  // Give back special mass-related quantities.
  bool useBreitWigner(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].useBreitWigner() : false ; }
  double constituentMass(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].constituentMass() : 0. ; }
  double mSel(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].mSel() : 0. ; }
  double mRun(int idIn, double mH) {
    return isParticle(idIn) ? pdt[abs(idIn)].mRun(mH) : 0. ; }

  // Give back other quantities.
  bool canDecay(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].canDecay() : false ; }
  bool isLepton(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isLepton() : false ; }
  bool isQuark(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isQuark() : false ; }
  bool isGluon(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isGluon() : false ; }
  bool isDiquark(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isDiquark() : false ; }
  bool isParton(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isParton() : false ; }
  bool isHadron(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isHadron() : false ; }
  bool isMeson(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isMeson() : false ; }
  bool isBaryon(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isBaryon() : false ; }
  bool isOctetHadron(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].isOctetHadron() : false ; }
  int heaviestQuark(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].heaviestQuark(idIn) : 0 ; }
  int baryonNumberType(int idIn) {
    return isParticle(idIn) ? pdt[abs(idIn)].baryonNumberType(idIn) : 0 ; }

  // Change branching ratios.
  void rescaleBR(int idIn, double newSumBR = 1.) {
    if (isParticle(idIn)) pdt[abs(idIn)].rescaleBR(newSumBR); }

  // Access methods stored in ResonanceWidths.
  void setResonancePtr(int idIn, ResonanceWidths* resonancePtrIn) {
    if (isParticle(idIn)) pdt[abs(idIn)].setResonancePtr( resonancePtrIn);}
  void resInit(int idIn) { if (isParticle(idIn))
    pdt[abs(idIn)].resInit(infoPtr, settingsPtr, this, couplingsPtr);}
  double resWidth(int idIn, double mHat, int idInFlav = 0,
    bool openOnly = false, bool setBR = false) {
    return isParticle(idIn) ? pdt[abs(idIn)].resWidth(idIn, mHat,
    idInFlav, openOnly, setBR) : 0.;}
  double resWidthOpen(int idIn, double mHat, int idInFlav = 0) {
    return isParticle(idIn) ? pdt[abs(idIn)].resWidthOpen(idIn, mHat,
    idInFlav) : 0.;}
  double resWidthStore(int idIn, double mHat, int idInFlav = 0) {
    return isParticle(idIn) ? pdt[abs(idIn)].resWidthStore(idIn, mHat,
    idInFlav) : 0.;}
  double resOpenFrac(int id1In, int id2In = 0, int id3In = 0);
  double resWidthRescaleFactor(int idIn) { return isParticle(idIn)
    ? pdt[abs(idIn)].resWidthRescaleFactor() : 0.;}
  double resWidthChan(int idIn, double mHat, int idAbs1 = 0,
    int idAbs2 = 0) { return isParticle(idIn)
    ? pdt[abs(idIn)].resWidthChan( mHat, idAbs1, idAbs2) : 0.;}
  
  // Return pointer to entry.
  ParticleDataEntry* particleDataEntryPtr(int idIn) {
    return (isParticle(idIn)) ? &pdt[abs(idIn)] : &pdt[0]; }

private:

  // Common data, accessible for the individual particles.
  int    modeBreitWigner;
  double maxEnhanceBW, mQRun[7], Lambda5Run;

  // The individual particle need access to the full database.
  friend class ParticleDataEntry;

  // Pointer to various information on the generation.
  Info*     infoPtr;

  // Pointer to the settings database.
  Settings* settingsPtr;

  // Pointer to the random number generator.
  Rndm*     rndmPtr;

  // Pointer to Standard Model couplings.
  Couplings*   couplingsPtr;

  // All particle data stored in a map.
  map pdt;

  // Pointer to current particle (e.g. when reading decay channels).
  ParticleDataEntry* particlePtr;

  // Flag that initialization has been performed; whether any failures.
  bool   isInit, readingFailedSave;

  // Method for common setting of particle-specific info.
  void   initCommon();

  // Useful functions for string handling.
  string toLower(const string& nameConv) { string temp(nameConv);
    for (int i = 0; i < int(temp.length()); ++i) temp[i] = tolower(temp[i]);
    return temp; }
  bool   boolString(string tag) { string tagLow = toLower(tag);
    return ( tagLow == "true" || tagLow == "1" || tagLow == "on"
    || tagLow == "yes" || tagLow == "ok" ); }

  // Extract XML value following XML attribute.
  string attributeValue(string line, string attribute);
  bool   boolAttributeValue(string line, string attribute);
  int    intAttributeValue(string line, string attribute);
  double doubleAttributeValue(string line, string attribute);

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_ParticleData_H
pythia8-8.1.86.orig/include/Pythia8/PythiaStdlib.h0000644000175000017500000000477112357054742020103 0ustar  sunsun// PythiaStdlib.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for functionality pulled in from Stdlib,
// plus a few useful utilities (small powers; positive square root,
// Gamma function).

#ifndef Pythia8_PythiaStdlib_H
#define Pythia8_PythiaStdlib_H

// Stdlib header files for mathematics.
#include 
#include 
#include 

// Stdlib header files for strings and containers.
#include 
#include 
#include 
#include 
#include 

// Stdlib header file for input and output.
#include 
#include 
#include 
#include 

// Define pi if not yet done.
#ifndef M_PI
#define M_PI 3.1415926535897932385
#endif

// By this declaration you do not need to use std:: qualifier everywhere.
//using namespace std;

// Alternatively you can specify exactly which std:: methods will be used.
// Now made default so std does not spill outside namespace Pythia8.
namespace Pythia8 {

// Generic utilities and mathematical functions.
using std::swap;
using std::max;
using std::min;
using std::abs;
using std::sort;

// Strings and containers.
using std::pair;
using std::make_pair;
using std::string;
using std::vector;
using std::map;
using std::multimap;
using std::deque;
using std::set;

// Input/output streams.
using std::cin;
using std::cout;
using std::cerr;
using std::istream;
using std::ostream;
using std::fstream;
using std::ifstream;
using std::ofstream;
using std::stringstream;
using std::istringstream;
using std::ostringstream;
using std::ios;

// Input/output formatting.
using std::endl;
using std::fixed;
using std::scientific;
using std::left;
using std::right;
using std::setw;
using std::setprecision;
 
} // end namespace Pythia8

namespace Pythia8 {

// Powers of small integers - for balance speed/code clarity.
inline double pow2(const double& x) {return x*x;}
inline double pow3(const double& x) {return x*x*x;}
inline double pow4(const double& x) {return x*x*x*x;}
inline double pow5(const double& x) {return x*x*x*x*x;}
inline double pow6(const double& x) {return x*x*x*x*x*x;}

// Avoid problem with negative square root argument (from roundoff).
inline double sqrtpos(const double& x) {return sqrt( max( 0., x));}

// The Gamma function for real argument.
double GammaReal(double x);

} // end namespace Pythia8

#endif // Pythia8_PythiaStdlib_H
pythia8-8.1.86.orig/include/Pythia8/LesHouches.h0000644000175000017500000003626112357054734017545 0ustar  sunsun// LesHouches.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for Les Houches Accord user process information.
// LHAProcess: stores a single process; used by the other classes.
// LHAParticle: stores a single particle; used by the other classes.
// LHAup: base class for initialization and event information.
// LHAupLHEF: derived class for reading from an Les Houches Event File.
// Code for interfacing with Fortran commonblocks is found in LHAFortran.h.

#ifndef Pythia8_LesHouches_H
#define Pythia8_LesHouches_H

#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// A class for the processes stored in LHAup.
  
class LHAProcess {

public:

  // Constructors.
  LHAProcess() : idProc(0), xSecProc(0.), xErrProc(0.), xMaxProc(0.) { }
  LHAProcess(int idProcIn, double xSecIn, double xErrIn, double xMaxIn) :
    idProc(idProcIn), xSecProc(xSecIn), xErrProc(xErrIn),
    xMaxProc(xMaxIn) { }

  // Process properties.
  int    idProc;
  double xSecProc, xErrProc, xMaxProc;

} ;

//==========================================================================

// A class for the particles stored in LHAup.

class LHAParticle {

public:

  // Constructors.
  LHAParticle() : idPart(0), statusPart(0), mother1Part(0),
    mother2Part(0), col1Part(0), col2Part(0), pxPart(0.), pyPart(0.),
    pzPart(0.), ePart(0.), mPart(0.), tauPart(0.), spinPart(9.),
    scalePart(-1.) { }
  LHAParticle(int idIn, int statusIn, int mother1In, int mother2In,
    int col1In, int col2In, double pxIn, double pyIn, double pzIn,
    double eIn, double mIn, double tauIn, double spinIn,
    double scaleIn) :
    idPart(idIn), statusPart(statusIn), mother1Part(mother1In),
    mother2Part(mother2In), col1Part(col1In), col2Part(col2In),
    pxPart(pxIn), pyPart(pyIn), pzPart(pzIn), ePart(eIn), mPart(mIn),
    tauPart(tauIn), spinPart(spinIn), scalePart(scaleIn) { }

  // Particle properties.
  int    idPart, statusPart, mother1Part, mother2Part, col1Part, col2Part;
  double pxPart, pyPart, pzPart, ePart, mPart, tauPart, spinPart,
         scalePart;

} ;

//==========================================================================

// LHAup is base class for initialization and event information
// from an external parton-level generator.

class LHAup {

public:

  // Destructor.
  virtual ~LHAup() {}

  // Set info pointer.
  void setPtr(Info* infoPtrIn) {infoPtr = infoPtrIn;}
 
  // Method to be used for LHAupLHEF derived class.
  virtual void newEventFile(const char*) {}
  virtual bool fileFound() {return true;}
 
  // A pure virtual method setInit, wherein all initialization information
  // is supposed to be set in the derived class. Can do this by reading a
  // file or some other way, as desired. Returns false if it did not work.
  virtual bool setInit() = 0;

  // Give back info on beams.
  int    idBeamA()       const {return idBeamASave;}
  int    idBeamB()       const {return idBeamBSave;}
  double eBeamA()        const {return eBeamASave;}
  double eBeamB()        const {return eBeamBSave;}
  int    pdfGroupBeamA() const {return pdfGroupBeamASave;}
  int    pdfGroupBeamB() const {return pdfGroupBeamBSave;}
  int    pdfSetBeamA()   const {return pdfSetBeamASave;}
  int    pdfSetBeamB()   const {return pdfSetBeamBSave;}
    
  // Give back weight strategy.
  int    strategy()      const {return strategySave;}

  // Give back info on processes.
  int    sizeProc()      const {return processes.size();}
  int    idProcess(int proc) const {return processes[proc].idProc;}
  double xSec(int proc)  const {return processes[proc].xSecProc;}
  double xErr(int proc)  const {return processes[proc].xErrProc;}
  double xMax(int proc)  const {return processes[proc].xMaxProc;}
  double xSecSum()       const {return xSecSumSave;}
  double xErrSum()       const {return xErrSumSave;}
   
  // Print the initialization info; useful to check that setting it worked.
  void   listInit(ostream& os = cout);

  // A pure virtual method setEvent, wherein information on the next event
  // is supposed to be set in the derived class.
  // Strategies +-1 and +-2: idProcIn is the process type, selected by PYTHIA.
  // Strategies +-3 and +-4: idProcIn is dummy; process choice is made locally.
  // The method can find the next event by a runtime interface to another
  // program, or by reading a file, as desired.
  // The method should return false if it did not work.
  virtual bool setEvent(int idProcIn = 0, double mRecalculate = -1.) = 0;

  // Give back process number, weight, scale, alpha_em, alpha_s.
  int    idProcess()       const {return idProc;}
  double weight()          const {return weightProc;}
  double scale()           const {return scaleProc;}
  double alphaQED()        const {return alphaQEDProc;}
  double alphaQCD()        const {return alphaQCDProc;}

  // Give back info on separate particle.
  int    sizePart()        const {return particles.size();}
  int    id(int part)      const {return particles[part].idPart;}
  int    status(int part)  const {return particles[part].statusPart;}
  int    mother1(int part) const {return particles[part].mother1Part;}
  int    mother2(int part) const {return particles[part].mother2Part;}
  int    col1(int part)    const {return particles[part].col1Part;}
  int    col2(int part)    const {return particles[part].col2Part;}
  double px(int part)      const {return particles[part].pxPart;}
  double py(int part)      const {return particles[part].pyPart;}
  double pz(int part)      const {return particles[part].pzPart;}
  double e(int part)       const {return particles[part].ePart;}
  double m(int part)       const {return particles[part].mPart;}
  double tau(int part)     const {return particles[part].tauPart;}
  double spin(int part)    const {return particles[part].spinPart;}
  double scale(int part)   const {return particles[part].scalePart;}

  // Give back info on flavour and x values of hard-process initiators.
  int    id1()             const {return id1Save;}
  int    id2()             const {return id2Save;}
  double x1()              const {return x1Save;}
  double x2()              const {return x2Save;}

  // Optional: give back info on parton density values of event.
  bool   pdfIsSet()        const {return pdfIsSetSave;}
  int    id1pdf()          const {return id1pdfSave;}
  int    id2pdf()          const {return id2pdfSave;}
  double x1pdf()           const {return x1pdfSave;}
  double x2pdf()           const {return x2pdfSave;}
  double scalePDF()        const {return scalePDFSave;}
  double pdf1()            const {return pdf1Save;}
  double pdf2()            const {return pdf2Save;}

  // Print the info; useful to check that reading an event worked.
  void   listEvent(ostream& os = cout);

  // Skip ahead a number of events, which are not considered further.
  // Mainly intended for debug when using the LHAupLHEF class.
  virtual bool skipEvent(int nSkip) {
    for (int iSkip = 0; iSkip < nSkip; ++iSkip)
    if (!setEvent()) return false; return true;}

  // Four routines to write a Les Houches Event file in steps.
  bool   openLHEF(string fileNameIn);
  bool   initLHEF();
  bool   eventLHEF(bool verbose = true);
  bool   closeLHEF(bool updateInit = false);

  // Get access to the Les Houches Event file name.
  string getFileName()     const {return fileName;}  

protected:

  // Constructor. Sets default to be that events come with unit weight.
  LHAup(int strategyIn = 3) : fileName("void"), strategySave(strategyIn)
    { processes.reserve(10); particles.reserve(20); 
    setBeamA( 0, 0., 0, 0); setBeamB( 0, 0., 0, 0); }

  // Allow conversion from mb to pb.
  static const double CONVERTMB2PB;

  // Pointer to various information on the generation.
  Info* infoPtr;

  // Input beam info.
  void setBeamA(int idIn, double eIn, int pdfGroupIn = 0, int pdfSetIn = 0)
    { idBeamASave = idIn; eBeamASave = eIn; pdfGroupBeamASave = pdfGroupIn;
    pdfSetBeamASave = pdfSetIn;}
  void setBeamB(int idIn, double eIn, int pdfGroupIn = 0, int pdfSetIn = 0)
    { idBeamBSave = idIn; eBeamBSave = eIn; pdfGroupBeamBSave = pdfGroupIn;
    pdfSetBeamBSave = pdfSetIn;}

  // Input process weight strategy.
  void setStrategy(int strategyIn) {strategySave = strategyIn;}

  // Input process info.
  void addProcess(int idProcIn, double xSecIn = 1., double xErrIn = 0.,
    double xMaxIn = 1.) { processes.push_back( LHAProcess( idProcIn,
    xSecIn, xErrIn, xMaxIn)); }

  // Possibility to update some cross section info at end of run.
  void setXSec(int iP, double xSecIn) {processes[iP].xSecProc = xSecIn;}
  void setXErr(int iP, double xErrIn) {processes[iP].xErrProc = xErrIn;}
  void setXMax(int iP, double xMaxIn) {processes[iP].xMaxProc = xMaxIn;}
 
  // Input info on the selected process.
  void setProcess(int idProcIn = 0, double weightIn = 1., double
    scaleIn = 0., double alphaQEDIn = 0.0073, double alphaQCDIn = 0.12) {
    idProc = idProcIn; weightProc = weightIn; scaleProc = scaleIn;
    alphaQEDProc = alphaQEDIn; alphaQCDProc = alphaQCDIn;
    // Clear particle list. Add empty zeroth particle for correct indices.
    particles.clear(); addParticle(0); pdfIsSetSave = false;}

  // Input particle info, one particle at the time.
  void addParticle(LHAParticle particleIn) {
    particles.push_back(particleIn);}
  void addParticle(int idIn, int statusIn = 0, int mother1In = 0,
    int mother2In = 0, int col1In = 0, int col2In = 0, double pxIn = 0.,
    double pyIn = 0., double pzIn = 0., double eIn = 0., double mIn = 0.,
    double tauIn = 0., double spinIn = 9., double scaleIn = -1.) {
    particles.push_back( LHAParticle( idIn, statusIn, mother1In, mother2In,
    col1In, col2In, pxIn, pyIn, pzIn, eIn, mIn, tauIn, spinIn,
    scaleIn) ); }

  // Input info on flavour and x values of hard-process initiators.
  void setIdX(int id1In, int id2In, double x1In, double x2In)
    { id1Save = id1In; id2Save = id2In; x1Save = x1In; x2Save = x2In;}

  // Optionally input info on parton density values of event.
  void setPdf(int id1pdfIn, int id2pdfIn, double x1pdfIn, double x2pdfIn,
    double scalePDFIn, double pdf1In, double pdf2In, bool pdfIsSetIn)
    { id1pdfSave = id1pdfIn; id2pdfSave = id2pdfIn; x1pdfSave = x1pdfIn;
    x2pdfSave = x2pdfIn; scalePDFSave = scalePDFIn; pdf1Save = pdf1In;
    pdf2Save = pdf2In; pdfIsSetSave = pdfIsSetIn;}

  // Three routines for LHEF files, but put here for flexibility.
  bool setInitLHEF(istream& is, bool readHeaders = false);
  bool setNewEventLHEF(istream& is, double mRecalculate = -1.);
  bool setOldEventLHEF();

  // Helper routines to open and close a file handling GZIPSUPPORT:
  //   ifstream ifs;
  //   istream *is = openFile("myFile.txt", ifs);
  //   -- Process file using is --
  //   closeFile(is, ifs);
  istream* openFile(const char *fn, ifstream &ifs);
  void     closeFile(istream *&is, ifstream &ifs);

  // LHAup is a friend class to infoPtr, but derived classes
  // are not. This wrapper function can be used by derived classes
  // to set headers in the Info class.
  void setInfoHeader(const string &key, const string &val) {
    infoPtr->setHeader(key, val); }

  // Event properties from LHEF files, for repeated use.
  int    nupSave, idprupSave;
  double xwgtupSave, scalupSave, aqedupSave, aqcdupSave, xSecSumSave,
         xErrSumSave;
  vector particlesSave;
  bool   getPDFSave, getScale;
  int    id1InSave, id2InSave, id1pdfInSave, id2pdfInSave;
  double x1InSave, x2InSave, x1pdfInSave, x2pdfInSave, scalePDFInSave,
         pdf1InSave, pdf2InSave;
 
  // File to which to write Les Houches Event File information.
  string fileName;
  fstream osLHEF;
  char dateNow[12];
  char timeNow[9];

private:

  // Event weighting and mixing strategy.
  int strategySave;

  // Beam particle properties.
  int    idBeamASave, idBeamBSave;
  double eBeamASave, eBeamBSave;
  int    pdfGroupBeamASave, pdfGroupBeamBSave, pdfSetBeamASave,
         pdfSetBeamBSave;

  // The process list, stored as a vector of processes.
  vector processes;

  // Store info on the selected process.
  int    idProc;
  double weightProc, scaleProc, alphaQEDProc, alphaQCDProc;

  // The particle list, stored as a vector of particles.
  vector particles;

  // Info on initiators and optionally on parton density values of event.
  bool   pdfIsSetSave;
  int    id1Save, id2Save, id1pdfSave, id2pdfSave;
  double x1Save, x2Save, x1pdfSave, x2pdfSave, scalePDFSave, pdf1Save,
         pdf2Save;

};

//==========================================================================

// A derived class with information read from a Les Houches Event File.

class LHAupLHEF : public LHAup {

public:

  // Constructor.
  LHAupLHEF(const char* fileIn, const char* headerIn = NULL,
            bool readHeaders = false);

  // Destructor.
  ~LHAupLHEF();

  // Helper routine to correctly close files
  void closeAllFiles() {
    // Close header file if separate, and close main file
    if (isHead != is) closeFile(isHead, ifsHead);
    closeFile(is, ifs);
  }

  // Want to use new file with events, but without reinitialization.
  void newEventFile(const char* fileIn) {
    // Close files and then open new file
    closeAllFiles();
    is = openFile(fileIn, ifs);

    // Set isHead to is to keep expected behaviour in
    // fileFound() and closeAllFiles()
    isHead = is;
  }

  // Confirm that file was found and opened as expected.
  bool fileFound() { return (isHead->good() && is->good()); }

  // Routine for doing the job of reading and setting initialization info.
  bool setInit() {return setInitLHEF(*isHead, readHeaders);}

  // Routine for doing the job of reading and setting info on next event.
  bool setEvent(int = 0, double mRecalculate = -1.) {
    if (!setNewEventLHEF(*is, mRecalculate)) return false;
    return setOldEventLHEF();
  }

  // Skip ahead a number of events, which are not considered further.
  bool skipEvent(int nSkip) {for (int iSkip = 0; iSkip < nSkip; ++iSkip)
    if (!setNewEventLHEF(*is)) return false; return true;}

private:

  // File from which to read (or a stringstream).
  // Optionally also a file from which to read the LHEF header.
  ifstream  ifs,  ifsHead;
  istream  *is,  *isHead;

  // Flag to read headers or not
  bool readHeaders;
};

//==========================================================================

// A derived class with information read from PYTHIA 8 itself, for output.

class LHAupFromPYTHIA8 : public LHAup {

public:

  // Constructor.
  LHAupFromPYTHIA8(Event* processPtrIn, Info* infoPtrIn) {
    processPtr = processPtrIn; infoPtr = infoPtrIn;}

  // Destructor.
  ~LHAupFromPYTHIA8() {}

  // Routine for doing the job of reading and setting initialization info.
  bool setInit();

  // Routine for doing the job of reading and setting info on next event.
  bool setEvent(int = 0, double = -1.);

  // Update cross-section information at the end of the run.
  bool updateSigma();

private:

  // Pointers to process event record and further information.
  Event* processPtr;
  Info*  infoPtr;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_LesHouches_H
pythia8-8.1.86.orig/include/Pythia8/SusyLesHouches.h0000644000175000017500000007236412357054745020437 0ustar  sunsun// SusyLesHouches.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for SUSY Les Houches Accord Interface
// Is independent of the rest of the PYTHIA implementation and thus could
// be re-used stand-alone or merged into other applications, subject to
// the MCnet Guidelines mentioned above.

#ifndef SLHA_H
#define SLHA_H

// Stdlib header files for string and character manipulation.
#include 
#include 
// Stdlib header files for containers.
#include 
#include 
// Stdlib header files for input/output.
#include 
#include 
#include 
#include 
// Stdlib header files for mathematics.
#include 
#include 

// Stdlib namespace
using namespace std;

//************************* SLHA AUX CLASSES *****************************//

namespace Pythia8 {

  //class LHblock: the generic SLHA block (see below for matrices)
  //Explicit typing required, e.g. block minpar;
  template  class LHblock {
    
  public:
    
    //Constructor.
    LHblock() : idnow(0) {} ;
    
    //Does block exist?
    bool exists() { return int(entry.size()) == 0 ? false : true ; };
    //Clear block
    void clear() { entry.clear(); };
    
    //set: set block entry values.
    //Possible return values from set:
    // 0: normal return. Entry did not previously exist and has been created.
    // 1: normal return. Entry did previously exist and has been overwritten.
    //-1: failure.
    int set(int iIn,T valIn) {
      int alreadyexisting=exists(iIn)?1:0;
      entry[iIn]=valIn;
      return alreadyexisting;
    };
    // Read index and value from SLHA data line
    int set(istringstream& linestream, bool indexed=true) {
      i = 0;
      if (indexed) linestream >> i >> val;
      else linestream >> val;
      return linestream ? set(i,val) : -1;
    };
    // With i already given, read value from remaining SLHA data line
    int set(int iIn,istringstream& linestream) {
      linestream >> val;
      return linestream ? set(iIn,val) : -1;
    };
    // Shorthand for entry[0]. Used e.g. for block ALPHA.
    void set(T valIn) { entry[0]=valIn; };

    // Does entry i already exist in this block?
    bool exists(int iIn) {return entry.find(iIn) != entry.end()
      ? true : false;};

    // Indexing with (). Output only.
    T operator()() {
      if (exists(0)) {return entry[0];} else {T dummy(0); return dummy;};
    };
    T operator()(int iIn) {
      if (exists(iIn)) {return entry[iIn];} else {T dummy(0); return dummy;};
    };

    // Size of map
    int size() {return int(entry.size());};

    // First and next key code
    int first() { idnow = entry.begin()->first; return idnow; };
    int next() {
      typename map::iterator itnow;
      itnow = ++entry.find(idnow);
      if ( itnow == entry.end() ) itnow=entry.begin();
      return idnow = itnow->first;
    };

    // Simple print utility
    void print() {
      bool finished=false;
      int ibegin=first();
      i=ibegin;
      while (!finished) {
        cout << "  "<< i << " " << entry[i] < entry;

  private:
    int idnow;
    double qDRbar;
    //Auxiliary vars
    int i;
    T val;
  };

  // Derived class for generic blocks containing vectors of strings.
  class LHgenericBlock : public LHblock {

  public:
    
    //Constructor.
    LHgenericBlock() { } ;

    // Read index and value from SLHA data line
    int set(string lineIn) {
      entry[entry.size()] = lineIn;
      return 0;
    };
    
  };

  // class LHmatrixBlock: the generic SLHA matrix
  // Explicit sizing required, e.g.LHmatrixBlock<4> nmix;
  template  class LHmatrixBlock {
  public:
    //Constructor. Set uninitialized and explicitly zero.
    LHmatrixBlock() {
      initialized=false;
      for (i=1;i<=size;i++) {
        for (j=1;j<=size;j++) {
          entry[i][j]=0.0;
        };
      };
    };
    
    // Assignment
    LHmatrixBlock& operator=(const LHmatrixBlock& m) {
      if (this != &m) {
        for (i=0;i0 && jIn>0 && iIn<=size && jIn<=size) {
        entry[iIn][jIn]=valIn;
        initialized=true;
        return 0;
      } else {
        return -1;
      };
    };

    // Set entry from linestream (used during file read)
    int set(istringstream& linestream) {
      linestream >> i >> j >> val;
      return linestream ? set(i,j,val) : -1;
    };

    // () Overloading: Get entry
    double operator()(int iIn, int jIn) const {
      return (iIn <= size && jIn <= size && iIn > 0 && jIn > 0) ?
        entry[iIn][jIn] : 0.0;
    };

    // Set and get scale for DRbar running LHblocks.
    void setq(double qIn) { qDRbar=qIn; }
    double q() { return qDRbar; }

    // Simple print utility, to be elaborated on.
    void print() {
      for (i=1;i<=size;i++) {
        cout << "   "< rvlam;
  template  class LHtensor3Block {
  public:
    //Constructor. Set uninitialized and explicitly zero.
    LHtensor3Block() {
      initialized=false;
      for (i=1;i<=size;i++) {
        for (j=1;j<=size;j++) {
          for (k=1;k<=size;k++) {
            entry[i][j][k]=0.0;
          };
        };
      };
    };
    
    // Assignment
    LHtensor3Block& operator=(const LHtensor3Block& m) {
      if (this != &m) {
        for (i=0;i0 && jIn>0 && kIn>0 && iIn<=size && jIn<=size && kIn<=size) {
        entry[iIn][jIn][kIn]=valIn;
        initialized=true;
        return 0;
      } else {
        return -1;
      };
    };

    // Set entry from linestream (used during file read)
    int set(istringstream& linestream) {
      linestream >> i >> j >> k >> val;
      return linestream ? set(i,j,k,val) : -1;
    };

    // () Overloading: Get entry
    double operator()(int iIn, int jIn, int kIn) const {
      return (iIn <= size && jIn <= size && kIn <= size && iIn > 0
        && jIn > 0 && kIn > 0) ? entry[iIn][jIn][kIn] : 0.0;
    };

    // Set and get scale for DRbar running LHblocks.
    void setq(double qIn) { qDRbar=qIn; }
    double q() { return qDRbar; }

    // Simple print utility, to be elaborated on.
    void print() {
      for (i=1;i<=size;i++) {
        for (j=1;j<=size;j++) {
          cout << "   "< idDaIn,
      string cIn="") { setChannel(bratIn,nDaIn,idDaIn,cIn);
    }

    // Functions to set decay channel information
    void setChannel(double bratIn, int nDaIn, vector idDaIn,
      string cIn="") {
      brat    = bratIn;
      for (int i=0; i<=nDaIn; i++) {
        if (i < int(idDaIn.size())) idDa.push_back(idDaIn[i]);
        comment = cIn;
      }
    }
    void setBrat(double bratIn) {brat=bratIn;}
    void setIdDa(vector idDaIn) {idDa = idDaIn;}
    
    // Functions to get decay channel information
    double getBrat() {return brat;}
    int getNDa() {return int(idDa.size());}
    vector getIdDa() {return idDa;}
    string getComment() {return comment;}
    
  private:
    double brat;
    vector idDa;
    string comment;
      
  };

  class LHdecayTable {
  public:
    
  LHdecayTable() : id(0), width(0.0) {};
  LHdecayTable(int idIn) : id(idIn), width(0.0) {};
  LHdecayTable(int idIn, double widthIn) : id(idIn), width(widthIn) {};
    
    // Functions to get PDG code (id) and width
    int    getId() {return id;}
    double getWidth() {return width;}
    
    // Functions to set PDG code (id) and width
    void setId(int idIn) {id = idIn;}
    void setWidth(double widthIn) {width=widthIn;}

    // Function to reset size and width (width -> 0 by default)
    void reset(double widthIn=0.0) {table.resize(0); width=widthIn;}
    
    // Function to add another decay channel
    void addChannel(LHdecayChannel channelIn) {table.push_back(channelIn);}
    void addChannel(double bratIn, int nDaIn, vector idDaIn,
      string cIn="") {
      LHdecayChannel newChannel(bratIn, nDaIn, idDaIn, cIn);
      table.push_back(newChannel);
    }

    // Function to return number of decay channels
    int size() {return int(table.size());}

    // Function to return a branching ratio
    double getBrat(int iChannel) {
      if (iChannel >= 0 && iChannel < int(table.size())) {
        return table[iChannel].getBrat();
      } else {
        return 0.0;
      }
    }
    // Function to return daughter PDG codes
    vector getIdDa(int iChannel) {
      if (iChannel >= 0 && iChannel < int(table.size())) {
        return table[iChannel].getIdDa();
      } else {
        vector dum;
        return dum;
      }
    }
    // Function to return a decay channel
    LHdecayChannel getChannel(int iChannel) {
      if (iChannel >= 0 && iChannel < int(table.size())) {
        return table[iChannel];
      } else {
        LHdecayChannel dum;
        return dum;
      }
    }
    
  private:
    int id;
    double width;
    vector table;

  };

//==========================================================================

class SusyLesHouches {

public:

  //Constructor, with and without filename.
  SusyLesHouches(int verboseIn=1) : verboseSav(verboseIn),
    headerPrinted(false), footerPrinted(false), filePrinted(false),
    slhaRead(false), lhefRead(false), lhefSlha(false), useDecay(true) {};
  SusyLesHouches(string filename, int verboseIn=1) : verboseSav(verboseIn),
    headerPrinted(false), footerPrinted(false), filePrinted(false),
    slhaRead(true), lhefRead(false), lhefSlha(false), useDecay(true)
    {readFile(filename);};

  //***************************** SLHA FILE I/O *****************************//
  // Read and write SLHA files
  int readFile(string slhaFileIn="slha.spc",int verboseIn=1,
    bool useDecayIn=true);
  //int writeFile(string filename): write SLHA file on filename

  //Output utilities
  void printHeader();   // print Header
  void printFooter();   // print Footer
  void printSpectrum(int ifail=0); // print Spectrum

  // Check spectrum and decays
  int checkSpectrum();
  int checkDecays();

  // File Name (can be either SLHA or LHEF)
  string slhaFile;

  // Class for SLHA data entry
  class Entry {
    
  public:
    //Constructor.
    Entry() : isIntP(false), isDoubleP(false),
      isStringP(false), n(0), d(0.0), s(""), commentP("") {}
    
    // Generic functions to inquire whether an int, double, or string
    bool isInt(){return isIntP;}
    bool isDouble(){return isDoubleP;}
    bool isString(){return isStringP;}

    // = Overloading: Set entry to int, double, or string
    Entry& operator=(double& val)  {
      d=val;isIntP=false;isDoubleP=true;isStringP=false;
      return *this;
    };
    Entry& operator=(int& val)  {
      n=val;isIntP=true;isDoubleP=false;isStringP=false;
      return *this;
    };
    Entry& operator=(string& val)  {
      s=val;isIntP=false;isDoubleP=false;isStringP=true;
      return *this;
    };
    
    // Set and Get comment
    void setComment(string comment) {commentP=comment;}
    void getComment(string comment) {comment=commentP;}

    // Generic functions to get value
    bool get(int& val) {val=n; return isIntP;}
    bool get(double& val) {val=d; return isDoubleP;}
    bool get(string& val) {val=s; return isStringP;}

  private:
    bool isIntP, isDoubleP, isStringP;
    int n;
    double d;
    string s;
    string commentP;
    
  };

  //*************************** THE SLHA1 BLOCKS ***************************//
  //Blocks for model definition:
  LHblock modsel;
  LHblock modsel21;
  LHblock modsel12;
  LHblock minpar;
  LHblock extpar;
  LHblock sminputs;
  //Blocks for RGE program specific output
  LHblock spinfo;
  LHblock spinfo3;
  LHblock spinfo4;
  //Blocks for DCY program specific output
  LHblock dcinfo;
  LHblock dcinfo3;
  LHblock dcinfo4;
  //Blocks for mass and coupling spectrum
  LHblock mass;
  LHmatrixBlock<4> nmix;
  LHmatrixBlock<2> umix;
  LHmatrixBlock<2> vmix;
  LHmatrixBlock<2> stopmix;
  LHmatrixBlock<2> sbotmix;
  LHmatrixBlock<2> staumix;
  LHblock alpha;
  LHblock hmix;
  LHblock gauge;
  LHblock msoft;
  LHmatrixBlock<3> au;
  LHmatrixBlock<3> ad;
  LHmatrixBlock<3> ae;
  LHmatrixBlock<3> yu;
  LHmatrixBlock<3> yd;
  LHmatrixBlock<3> ye;

  //************************ THE SLHA1 DECAY TABLES ************************//
  vector decays;
  map decayIndices;

  //********************* THE BSM-SLHA QNUMBERS BLOCKS *********************//
  vector< LHblock > qnumbers;     // Zero'th entry is PDG code
  vector< string > qnumbersName;
  vector< string > qnumbersAntiName;

  //*************************** THE SLHA2 BLOCKS ***************************//
  //Additions to SLHA1
  LHblock qextpar;

  //FLV Input
  LHblock vckmin;  // The input CKM Wolfenstein parms.
  LHblock upmnsin; // The input PMNS PDG parms.
  LHmatrixBlock<3> msq2in; // The input upper off-diagonal msq2
  LHmatrixBlock<3> msu2in; // The input upper off-diagonal msu2
  LHmatrixBlock<3> msd2in; // The input upper off-diagonal msd2
  LHmatrixBlock<3> msl2in; // The input upper off-diagonal msl2
  LHmatrixBlock<3> mse2in; // The input upper off-diagonal mse2
  LHmatrixBlock<3> tuin;   // The input upper off-diagonal TU
  LHmatrixBlock<3> tdin;   // The input upper off-diagonal TD
  LHmatrixBlock<3> tein;   // The input upper off-diagonal TE
  //FLV Output
  LHmatrixBlock<3> vckm;    // The output DRbar running Re{VCKM} at Q
  LHmatrixBlock<3> upmns;   // The output DRbar running Re{UPMNS} at Q
  LHmatrixBlock<3> msq2;    // The output DRbar running msq2 at Q
  LHmatrixBlock<3> msu2;    // The output DRbar running msu2 at Q
  LHmatrixBlock<3> msd2;    // The output DRbar running msd2 at Q
  LHmatrixBlock<3> msl2;    // The output DRbar running msl2 at Q
  LHmatrixBlock<3> mse2;    // The output DRbar running mse2 at Q
  LHmatrixBlock<3> tu;      // The output DRbar running TU at Q
  LHmatrixBlock<3> td;      // The output DRbar running TD at Q
  LHmatrixBlock<3> te;      // The output DRbar running TE at Q
  LHmatrixBlock<6> usqmix;  // The Re{} up squark mixing matrix
  LHmatrixBlock<6> dsqmix;   // The Re{} down squark mixing matrix
  LHmatrixBlock<6> selmix;   // The Re{} selectron mixing matrix
  LHmatrixBlock<3> snumix;   // The Re{} sneutrino mixing matrix
  LHmatrixBlock<3> snsmix;   // The scalar sneutrino mixing matrix
  LHmatrixBlock<3> snamix;   // The pseudoscalar neutrino mixing matrix
  
  //RPV Input
  LHtensor3Block<3> rvlamllein; // The input LNV lambda couplings
  LHtensor3Block<3> rvlamlqdin; // The input LNV lambda' couplings
  LHtensor3Block<3> rvlamuddin; // The input BNV lambda'' couplings
  LHtensor3Block<3> rvtllein;   // The input LNV T couplings
  LHtensor3Block<3> rvtlqdin;   // The input LNV T' couplings
  LHtensor3Block<3> rvtuddin;   // The input BNV T'' couplings
  LHblock rvkappain;    // The input LNV kappa couplings
  LHblock rvdin;        // The input LNV D terms
  LHblock rvm2lh1in;    // The input LNV m2LH1 couplings
  LHblock rvsnvevin;    // The input LNV sneutrino vevs
  //RPV Output
  LHtensor3Block<3> rvlamlle;   // The output LNV lambda couplings
  LHtensor3Block<3> rvlamlqd;   // The output LNV lambda' couplings
  LHtensor3Block<3> rvlamudd;   // The output BNV lambda'' couplings
  LHtensor3Block<3> rvtlle;     // The output LNV T couplings
  LHtensor3Block<3> rvtlqd;     // The output LNV T' couplings
  LHtensor3Block<3> rvtudd;     // The output BNV T'' couplings
  LHblock rvkappa;      // The output LNV kappa couplings
  LHblock rvd;          // The output LNV D terms
  LHblock rvm2lh1;      // The output LNV m2LH1 couplings
  LHblock rvsnvev;      // The output LNV sneutrino vevs
  LHmatrixBlock<7> rvnmix;      // The RPV neutralino mixing matrix
  LHmatrixBlock<5> rvumix;      // The RPV chargino L mixing matrix
  LHmatrixBlock<5> rvvmix;      // The RPV chargino R mixing matrix
  LHmatrixBlock<5> rvhmix;      // The RPV neutral scalar mixing matrix
  LHmatrixBlock<5> rvamix;      // The RPV neutral pseudoscalar mixing matrix
  LHmatrixBlock<8> rvlmix;      // The RPV charged fermion mixing matrix
  
  //CPV Input
  LHblock imminpar;
  LHblock imextpar;
  //CPV Output
  LHmatrixBlock<4> cvhmix;   // The CPV Higgs mixing matrix
  LHmatrixBlock<4> imcvhmix; // Optional: imaginary components
  LHmatrixBlock<3> imau,imad,imae; // Im{} of AU, AD, AE
  LHblock imhmix;
  LHblock immsoft;

  //CPV + FLV Input
  LHmatrixBlock<3> immsq2in;  // The Im{} input upper off-diagonal msq2
  LHmatrixBlock<3> immsu2in;  // The Im{} input upper off-diagonal msu2
  LHmatrixBlock<3> immsd2in;  // The Im{} input upper off-diagonal msd2
  LHmatrixBlock<3> immsl2in;  // The Im{} input upper off-diagonal msl2
  LHmatrixBlock<3> immse2in;  // The Im{} input upper off-diagonal mse2
  LHmatrixBlock<3> imtuin,imtdin,imtein; // The Im{} input upper off-diagonal T
  //CPV + FLV Output
  LHmatrixBlock<3> imvckm;  // The output DRbar running Im{VCKM} at Q
  LHmatrixBlock<3> imupmns; // The output DRbar running Im{UPMNS} at Q
  LHmatrixBlock<3> immsq2;  // The output DRbar running msq2 at Q
  LHmatrixBlock<3> immsu2;  // The output DRbar running msu2 at Q
  LHmatrixBlock<3> immsd2;  // The output DRbar running msd2 at Q
  LHmatrixBlock<3> immsl2;  // The output DRbar running msl2 at Q
  LHmatrixBlock<3> immse2;  // The output DRbar running mse2 at Q
  LHmatrixBlock<3> imtu,imtd,imte; // Im{} of TU, TD, TE
  LHmatrixBlock<6> imusqmix;// The Im{} up squark mixing matrix
  LHmatrixBlock<6> imdsqmix; // The Im{} down squark mixing matrix
  LHmatrixBlock<6> imselmix; // The Im{} selectron mixing matrix
  LHmatrixBlock<3> imsnumix; // The Im{} sneutrino mixing matrix
  LHmatrixBlock<4> imnmix;   // The Im{} neutralino mixing matrix
  LHmatrixBlock<4> imumix;   // The Im{} chargino L mixing matrix
  LHmatrixBlock<4> imvmix;   // The Im{} chargino R mixing matrix
  
  //NMSSM Input
  //    All input is in EXTPAR
  //NMSSM Output
  LHblock nmssmrun;  // The LHblock of NMSSM running parameters
  LHmatrixBlock<3> nmhmix;   // The NMSSM scalar Higgs mixing
  LHmatrixBlock<3> nmamix;   // The NMSSM pseudoscalar Higgs mixing
  LHmatrixBlock<5> nmnmix;   // The NMSSM neutralino mixing
  LHmatrixBlock<5> imnmnmix; //   Im{} (for future use)
  
  //*************************** SET BLOCK VALUE ****************************//
  template  int set(string,T);
  template  int set(string,int,T);
  template  int set(string,int,int,T);
  template  int set(string,int,int,int,T);

  //********************* GENERIC/USER-DEFINED BLOCKS **********************//
  // bool getEntry(name, indices, value)
  //      = true if LHblock and entry exists (value returned in value,
  //        typecast by user in call)
  //      = false otherwise
  map genericBlocks;
  template  bool getEntry(string, T&);
  template  bool getEntry(string, int, T&);
  template  bool getEntry(string, int, int, T&);
  template  bool getEntry(string, int, int, int, T&);
  template  bool getEntry(string, vector, T&);

  // Access/change verbose setting  
  int verbose() {return verboseSav;}  
  void verbose(double verboseIn) {verboseSav = verboseIn;}

  // Output of messages from SLHA interface
  void message(int, string,string ,int line=0);
  
  //***************************** SLHA PRIVATE *****************************//
private:
  //SLHA I/O
  int verboseSav;
  bool headerPrinted, footerPrinted, filePrinted;
  bool slhaRead, lhefRead, lhefSlha, useDecay;

};

//--------------------------------------------------------------------------

// utilities to set generic blocks

template  int SusyLesHouches::set(string blockName, T val) {

  // Make sure everything is interpreted as lower case (for safety)
  for (int iC=0; iC int SusyLesHouches::set(string blockName, int indx, T val) {

  // Make sure everything is interpreted as lower case (for safety)
  for (int iC=0; iC int SusyLesHouches::set(string blockName, int indx,
                                           int jndx, T val) {

  // Make sure everything is interpreted as lower case (for safety)
  for (int iC=0; iC int SusyLesHouches::set(string blockName, int indx,
                                           int jndx, int kndx, T val) {

  // Make sure everything is interpreted as lower case (for safety)
  for (int iC=0; iC bool SusyLesHouches::getEntry(string blockName, T& val) {

  // Make sure everything is interpret as lower case (for safety)
  for (int iC=0; iC= 2) {
    message(1,"getEntry","attempting to extract un-indexed entry "
      "from multi-entry block "+blockName);
    return false;
  }
  // Attempt to extract value as class T
  LHgenericBlock block = genericBlocks[blockName];
  istringstream linestream(block(0));
  linestream >> val;
  if ( !linestream ) {
    message(1,"getEntry","problem extracting un-indexed entry "
      "from block "+blockName);
    return false;
  }
  // If made it all the way here, value was successfully extracted.
  // Return true.
  return true;
}

template  bool SusyLesHouches::getEntry(string blockName, int indx,
                                                 T& val) {

  // Make sure everything is interpret as lower case (for safety)
  for (int iC=0; iC> indxNow >> valNow;
    // If index found and value was readable, return true
    if (linestream && indxNow == indx) {
      val = valNow;
      return true;
    }
  }
  // If index not found or unreadable, return false
  message(1,"getEntry","problem extracting indexed entry from block "
          +blockName);
  return false;
}

template  bool SusyLesHouches::getEntry(string blockName, int indx,
                                                 int jndx, T& val) {

  // Make sure everything is interpret as lower case (for safety)
  for (int iC=0; iC> indxNow >> jndxNow >> valNow;
    // If index found and value was readable, return true
    if (linestream && indxNow == indx && jndxNow == jndx) {
      val = valNow;
      return true;
    }
  }
  // If index not found or unreadable, return false
  message(1,"getEntry","problem extracting matrix-indexed entry from block "
          +blockName);
  return false;
}

template  bool SusyLesHouches::getEntry(string blockName, int indx,
                                                 int jndx, int kndx, T& val) {

  // Make sure everything is interpret as lower case (for safety)
  for (int iC=0; iC> indxNow >> jndxNow >> kndxNow >> valNow;
    // If index found and value was readable, return true
    if (linestream && indxNow == indx && jndxNow == jndx && kndxNow == kndx) {
      val = valNow;
      return true;
    }
  }
  // If index not found or unreadable, return false
  message(1,"getEntry","problem extracting tensor-indexed entry from block "
          +blockName);
  return false;
 }

}
#endif



pythia8-8.1.86.orig/include/Pythia8/SusyCouplings.h0000644000175000017500000001220712357054744020325 0ustar  sunsun// SusyCouplings.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for setup of common SUSY couplings.

#ifndef Pythia8_SusyCouplings_H
#define Pythia8_SusyCouplings_H

#include "Pythia8/PythiaComplex.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/SusyLesHouches.h"

namespace Pythia8 {

class ParticleData;

//==========================================================================

// CoupSUSY
// Auxiliary class to compute and store various SM and SUSY couplings.

class CoupSUSY : public Couplings{

public:

  // Constructor
  CoupSUSY() {isInit=false; isNMSSM = false; isSUSY=true;}

  // Initialize
  void initSUSY(SusyLesHouches* slhaPtrIn, Info* infoPtrIn, 
                ParticleData* particleDataPtrIn, Settings* settingsPtrIn);

  // Status flag. Flag for NMSSM.
  bool isInit, isNMSSM;

  // Z and W pole masses and widths
  double mWpole, wWpole, mZpole, wZpole;

  // Running masses and weak mixing angle
  // (default to pole values if no running available)
  double mW, mZ, sin2W, sinW, cosW;

  // Tanbeta
  double tanb, cosb, sinb;

  //Higgs-sector parameters
  double muHiggs, alphaHiggs, mAHiggs;

  // ~qq~g couplings
  complex LsddG[7][4], RsddG[7][4];
  complex LsuuG[7][4], RsuuG[7][4];
  // Assume generation index for Squark. Translate if PDG code instead.
  complex getLsqqG(int iGenSq, int idQ) {if (abs(iGenSq) > 1000000)
      iGenSq =  3*(abs(iGenSq)/2000000) + (abs(iGenSq)%10+1)/2;
    return (abs(idQ)%2 == 0) ? LsuuG[iGenSq][abs(idQ)/2]
      : LsddG[iGenSq][(abs(idQ)+1)/2] ;}
  complex getRsqqG(int iGenSq, int idQ) {if (abs(iGenSq) > 1000000)
      iGenSq =  3*(abs(iGenSq)/2000000) + (abs(iGenSq)%10+1)/2;
    return (abs(idQ)%2 == 0) ? RsuuG[iGenSq][abs(idQ)/2]
      : RsddG[iGenSq][(abs(idQ)+1)/2] ;}

  // ~chi0~chi0Z couplings
  complex OLpp[6][6], ORpp[6][6];

  // ~chi+~chi-Z couplings
  complex OLp[3][3], ORp[3][3];

  // ~chi0~chi+W couplings
  complex OL[6][3], OR[6][3];

  // qqZ couplings
  double LqqZ[7], RqqZ[7];

  // ~q~qZ couplings
  complex LsdsdZ[7][7], RsdsdZ[7][7];
  complex LsusuZ[7][7], RsusuZ[7][7];
  complex getLsqsqZ(int idSq1, int idSq2) {
    if (abs(idSq1)%2 != abs(idSq2)%2) return complex(0.0,0.0);
    int iGen1 = 3*(abs(idSq1)/2000000) + (abs(idSq1)%10+1)/2;
    int iGen2 = 3*(abs(idSq2)/2000000) + (abs(idSq2)%10+1)/2;
    return (abs(idSq1)%2 == 0) ? LsusuZ[iGen1][iGen2] : LsdsdZ[iGen1][iGen2];}
  complex getRsqsqZ(int idSq1, int idSq2) {
    if (abs(idSq1)%2 != abs(idSq2)%2) return complex(0.0,0.0);
    int iGen1 = 3*(abs(idSq1)/2000000) + (abs(idSq1)%10+1)/2;
    int iGen2 = 3*(abs(idSq2)/2000000) + (abs(idSq2)%10+1)/2;
    return (abs(idSq1)%2 == 0) ? RsusuZ[iGen1][iGen2] : RsdsdZ[iGen1][iGen2];}

  // udW couplings
  complex LudW[4][4], RudW[4][4];

  // ~u~dW couplings
  complex LsusdW[7][7], RsusdW[7][7];

  // ~qq~chi0 couplings
  complex LsddX[7][4][6], RsddX[7][4][6];
  complex LsuuX[7][4][6], RsuuX[7][4][6];
  complex getLsqqX(int iSq, int idQ, int iNeut) {return (abs(idQ)%2 == 0)
    ? LsuuX[iSq][abs(idQ)/2][iNeut] : LsddX[iSq][(abs(idQ)+1)/2][iNeut] ;}
  complex getRsqqX(int iSq, int idQ, int iNeut) {return (abs(idQ)%2 == 0)
    ? RsuuX[iSq][abs(idQ)/2][iNeut] : RsddX[iSq][(abs(idQ)+1)/2][iNeut] ;}

  // ~du~chi+ couplings
  complex LsduX[7][4][3], RsduX[7][4][3];

  // ~ud~chi+ couplings
  complex LsudX[7][4][3], RsudX[7][4][3];

  //llZ couplings
  double LllZ[7], RllZ[7];

  //lvW couplings
  complex LlvW[4][4], RlvW[4][4];

  // ~l~lZ couplings
  complex LslslZ[7][7],RslslZ[7][7];
  complex LsvsvZ[7][7],RsvsvZ[7][7];

  // ~l~vW couplings
  complex LslsvW[7][7], RslsvW[7][7];
 
  // ~ll~chi0 couplings
  complex LsvvX[7][4][6], RsvvX[7][4][6];
  complex LsllX[7][4][6], RsllX[7][4][6];

  // ~vl~chi+ couplings
  complex LsvlX[7][4][3], RsvlX[7][4][3];

  // ~lv~chi+ couplings
  complex LslvX[7][4][3], RslvX[7][4][3];

  // RPV couplings
  double rvLLE[4][4][4], rvLQD[4][4][4], rvUDD[4][4][4];
  // Flags for RPV couplings
  bool isLLE, isLQD, isUDD;

  //Squark mixing matrix: needed for RPV
  complex Rusq[7][7], Rdsq[7][7];

  // Return neutralino, chargino, sup, sdown and slepton flavour codes.
  int idNeut(int idChi);
  int idChar(int idChi);
  int idSup(int iSup);
  int idSdown(int iSdown);
  int idSlep(int iSlep);

  //Reverse lookup for neutralinos and charginos
  int typeNeut(int idPDG);
  int typeChar(int idPDG);

  // Return a particle name, given the PDG code.
  string getName(int pdgCode);

  // Pointer to SLHA instance
  // Used in SusyResonanceWidths for checking if decay table exists
  SusyLesHouches* slhaPtr;

private:
  // Debug flag
  static const bool DBSUSY;

  // Pointer to the info class
  Info*          infoPtr;

  // Pointer to the settings database.
  Settings*      settingsPtr;

  // Pointer to the particle data table.
  ParticleData*  particleDataPtr;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SusyCouplings_H
pythia8-8.1.86.orig/include/Pythia8/SigmaGeneric.h0000644000175000017500000001271212357054743020033 0ustar  sunsun// SigmaGeneric.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Johan Bijnens,Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for various generic production processes, to be used as
// building blocks for some BSM processes.
// Currently represented by QCD pair production of colour triplet objects,
// with spin either 0, 1/2 or 1.

#ifndef Pythia8_SigmaGeneric_H
#define Pythia8_SigmaGeneric_H

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {
 
//==========================================================================

// A derived class for g g -> qG qGbar (generic quark of spin 0, 1/2 or 1).

class Sigma2gg2qGqGbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2gg2qGqGbar(int idIn, int codeIn, int spinIn,
    string nameIn = "g g -> qG qGbar") : idNew(idIn), codeSave(codeIn),
    spinSave(spinIn), nameSave(nameIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "gg";}
  virtual int    id3Mass() const {return idNew;}
  virtual int    id4Mass() const {return idNew;}

private:

  // Values stored for process type and colour flow selection.
  int    idNew, codeSave, spinSave, nCHV;
  string nameSave;
  bool   hasKappa;
  double openFracPair, sigma, sigTS, sigUS, sigSum, kappam1;

};
 
//==========================================================================

// A derived class for q qbar -> qG qGbar (generic quark of spin 0, 1/2 or 1).

class Sigma2qqbar2qGqGbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2qqbar2qGqGbar(int idIn, int codeIn, int spinIn,
    string nameIn = "q qbar -> qG qGbar") : idNew(idIn), codeSave(codeIn),
    spinSave(spinIn), nameSave(nameIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "qqbarSame";}
  virtual int    id3Mass() const {return idNew;}
  virtual int    id4Mass() const {return idNew;}

private:

  // Values stored for process type and colour flow selection.
  int    idNew, codeSave, spinSave, nCHV;
  string nameSave;
  double openFracPair, sigma, sigSum, kappa;

};
 
//==========================================================================

// A derived class for f fbar -> fG fGbar (generic spin 0, 1/2 or 1 particle)
// via gamma^*/Z^* s-channel exchange. Still under development!! ??

class Sigma2ffbar2fGfGbar : public Sigma2Process {

public:

  // Constructor.
  Sigma2ffbar2fGfGbar(int idIn, int codeIn, int spinIn,
    string nameIn = "q qbar -> qG qGbar") : idNew(idIn), codeSave(codeIn),
    spinSave(spinIn), nameSave(nameIn) {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat).
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Info on the subprocess.
  virtual string name()    const {return nameSave;}
  virtual int    code()    const {return codeSave;}
  virtual string inFlux()  const {return "ffbarSame";}
  virtual int    id3Mass() const {return idNew;}
  virtual int    id4Mass() const {return idNew;}

private:

  // Values stored for process type and colour flow selection.
  int    idNew, codeSave, spinSave, nCHV;
  string nameSave;
  bool   hasColour;
  double eQHV2, openFracPair, sigma0, sigSum, kappa, colFac;

};
  
//==========================================================================

// A derived class for f fbar -> Zv, where Zv couples both to the SM and
// to a hidden sector. Primitive coupling structure.

class Sigma1ffbar2Zv : public Sigma1Process {

public:

  // Constructor.
  Sigma1ffbar2Zv() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat) for given inflavours.
  virtual double sigmaHat();

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "f fbar -> Zv";}
  virtual int    code()       const {return 4941;}
  virtual string inFlux()     const {return "ffbarSame";}
  virtual int    resonanceA() const {return 4900023;}

private:

  // Store flavour-specific process information and standard prefactor.
  int    idZv;
  double mRes, GammaRes, m2Res, GamMRat, sigOut;

  // Pointer to properties of Zv, to access decay width.
  ParticleDataEntry* particlePtr;

};

//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_SigmaGeneric_H
pythia8-8.1.86.orig/include/Pythia8/BeamParticle.h0000644000175000017500000002606112357054733020027 0ustar  sunsun// BeamParticle.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for information on incoming beams.
// ResolvedParton: an initiator or remnant in beam.
// BeamParticle: contains partons, parton densities, etc.

#ifndef Pythia8_BeamParticle_H
#define Pythia8_BeamParticle_H

#include "Pythia8/Basics.h"
#include "Pythia8/Event.h"
#include "Pythia8/FragmentationFlavZpT.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PartonDistributions.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"

namespace Pythia8 {

//==========================================================================

// This class holds info on a parton resolved inside the incoming beam,
// i.e. either an initiator (part of a hard or a multiparton interaction)
// or a remnant (part of the beam remnant treatment).

// The companion code is -1 from onset and for g, is -2 for an unmatched
// sea quark, is >= 0 for a matched sea quark, with the number giving the
// companion position, and is -3 for a valence quark.

// Rescattering partons properly do not belong here, but bookkeeping is
// simpler with them, so they are stored with companion code -10.

class ResolvedParton {

public:

  // Constructor.
  ResolvedParton( int iPosIn = 0, int idIn = 0, double xIn = 0.,
    int companionIn = -1) : iPosRes(iPosIn), idRes(idIn), xRes(xIn),
    companionRes(companionIn), xqCompRes(0.), mRes(0.), factorRes(1.),
    colRes(0), acolRes(0) { }

  // Set info on initiator or remnant parton.
  void iPos( int iPosIn) {iPosRes = iPosIn;}
  void id( int idIn) {idRes = idIn;}
  void x( double xIn) {xRes = xIn;}
  void update( int iPosIn, int idIn, double xIn) {iPosRes = iPosIn;
    idRes = idIn; xRes = xIn;}
  void companion( int companionIn) {companionRes = companionIn;}
  void xqCompanion( double xqCompIn) {xqCompRes = xqCompIn;}
  void p(Vec4 pIn) {pRes = pIn;}
  void px(double pxIn) {pRes.px(pxIn);}
  void py(double pyIn) {pRes.py(pyIn);}
  void pz(double pzIn) {pRes.pz(pzIn);}
  void e(double eIn) {pRes.e(eIn);}
  void m(double mIn) {mRes = mIn;}
  void col(int colIn) {colRes = colIn;}
  void acol(int acolIn) {acolRes = acolIn;}
  void cols(int colIn = 0,int acolIn = 0)
    {colRes = colIn; acolRes = acolIn;}
  void scalePT( double factorIn) {pRes.px(factorIn * pRes.px());
    pRes.py(factorIn * pRes.py()); factorRes *= factorIn;}
  void scaleX( double factorIn) {xRes *= factorIn;}

  // Get info on initiator or remnant parton.
  int    iPos()        const {return iPosRes;}
  int    id()          const {return idRes;}
  double x()           const {return xRes;}
  int    companion()   const {return companionRes;}
  bool   isValence()   const {return (companionRes == -3);}
  bool   isUnmatched() const {return (companionRes == -2);}
  bool   isCompanion() const {return (companionRes >= 0);}
  bool   isFromBeam()  const {return (companionRes > -10);}
  double xqCompanion() const {return xqCompRes;}
  Vec4   p()           const {return pRes;}
  double px()          const {return pRes.px();}
  double py()          const {return pRes.py();}
  double pz()          const {return pRes.pz();}
  double e()           const {return pRes.e();}
  double m()           const {return mRes;}
  double pT()          const {return pRes.pT();}
  double mT2()         const {return (mRes >= 0.)
    ? mRes*mRes + pRes.pT2() : - mRes*mRes + pRes.pT2();}
  double pPos()        const {return pRes.e() +  pRes.pz();}
  double pNeg()        const {return pRes.e() -  pRes.pz();}
  int    col()         const {return colRes;}
  int    acol()        const {return acolRes;}
  double pTfactor()    const {return factorRes;}
 
private:

  // Properties of a resolved parton.
  int    iPosRes, idRes;
  double xRes;
  // Companion code and distribution value, if any.
  int    companionRes;
  double xqCompRes;
  // Four-momentum and mass; for remnant kinematics construction.
  Vec4   pRes;
  double mRes, factorRes;
  // Colour codes.
  int   colRes, acolRes;

};

//==========================================================================

// This class holds info on a beam particle in the evolution of
// initial-state radiation and multiparton interactions.

class BeamParticle {

public:

  // Constructor.
  BeamParticle() : nInit(0) {resolved.resize(0); Q2ValFracSav = -1.;}

  // Initialize data on a beam particle and save pointers.
  void init( int idIn, double pzIn, double eIn, double mIn,
    Info* infoPtrIn, Settings& settings, ParticleData* particleDataPtrIn,
    Rndm* rndmPtrIn, PDF* pdfInPtr, PDF* pdfHardInPtr, bool isUnresolvedIn,
    StringFlav* flavSelPtrIn);

  // Initialize only the two pdf pointers.
  void initPDFPtr(PDF* pdfInPtr, PDF* pdfHardInPtr) {
    pdfBeamPtr = pdfInPtr; pdfHardBeamPtr = pdfHardInPtr; }

  // For mesons like pi0 valence content varies from event to event.
  void newValenceContent();

  // Set new pZ and E, but keep the rest the same.
  void newPzE( double pzIn, double eIn) {pBeam = Vec4( 0., 0., pzIn, eIn);}

  // Member functions for output.
  int id() const {return idBeam;}
  Vec4 p() const {return pBeam;}
  double px() const {return pBeam.px();}
  double py() const {return pBeam.py();}
  double pz() const {return pBeam.pz();}
  double e() const {return pBeam.e();}
  double m() const {return mBeam;}
  bool isLepton() const {return isLeptonBeam;}
  bool isUnresolved() const {return isUnresolvedBeam;}
  // As hadrons here we only count those we know how to handle remnants for.
  bool isHadron() const {return isHadronBeam;}
  bool isMeson() const {return isMesonBeam;}
  bool isBaryon() const {return isBaryonBeam;}

  // Maximum x remaining after previous MPI and ISR, plus safety margin.
  double xMax(int iSkip = -1);

  // Special hard-process parton distributions (can agree with standard ones).
  double xfHard(int idIn, double x, double Q2)
    {return pdfHardBeamPtr->xf(idIn, x, Q2);}
   
  // Standard parton distributions.
  double xf(int idIn, double x, double Q2)
    {return pdfBeamPtr->xf(idIn, x, Q2);}

  // Ditto, split into valence and sea parts (where gluon counts as sea).
  double xfVal(int idIn, double x, double Q2)
    {return pdfBeamPtr->xfVal(idIn, x, Q2);}
  double xfSea(int idIn, double x, double Q2)
    {return pdfBeamPtr->xfSea(idIn, x, Q2);}

  // Rescaled parton distributions, as needed for MPI and ISR.
  // For ISR also allow split valence/sea, and only return relevant part.
  double xfMPI(int idIn, double x, double Q2)
    {return xfModified(-1, idIn, x, Q2);}
  double xfISR(int indexMPI, int idIn, double x, double Q2)
    {return xfModified( indexMPI, idIn, x, Q2);}

  // Decide whether chosen quark is valence, sea or companion.
  int pickValSeaComp();

  // Initialize kind of incoming beam particle.
  void initBeamKind();

  // Overload index operator to access a resolved parton from the list.
  ResolvedParton& operator[](int i) {return resolved[i];}
  const ResolvedParton& operator[](int i) const {return resolved[i];}

  // Total number of partons extracted from beam, and initiators only.
  int size() const {return resolved.size();}
  int sizeInit() const {return nInit;}

  // Clear list of resolved partons.
  void clear() {resolved.resize(0); nInit = 0;}

  // Add a resolved parton to list.
  int append( int iPos, int idIn, double x, int companion = -1)
    {resolved.push_back( ResolvedParton( iPos, idIn, x, companion) );
    return resolved.size() - 1;}

  // Print extracted parton list; for debug mainly.
  void list(ostream& os = cout) const;

  // How many different flavours, and how many quarks of given flavour.
  int nValenceKinds() const {return nValKinds;}
  int nValence(int idIn) const {for (int i = 0; i < nValKinds; ++i)
    if (idIn == idVal[i]) return nVal[i]; return 0;}

  // Test whether a lepton is to be considered as unresolved.
  bool isUnresolvedLepton();

  // Add extra remnant flavours to make valence and sea come out right.
  bool remnantFlavours(Event& event);

  // Correlate all initiators and remnants to make a colour singlet.
  bool remnantColours(Event& event, vector& colFrom,
    vector& colTo);

  // Pick unrescaled x of remnant parton (valence or sea).
  double xRemnant(int i);

  // Tell whether a junction has been resolved, and its junction colours.
  bool hasJunction() const {return hasJunctionBeam;}
  int junctionCol(int i) const {return junCol[i];}
  void junctionCol(int i, int col) {junCol[i] = col;}

  // For a diffractive system, decide whether to kick out gluon or quark.
  bool pickGluon(double mDiff);

  // Pick a valence quark at random, and provide the remaining flavour.
  int pickValence();
  int pickRemnant() const {return idVal2;}

  // Share lightcone momentum between two remnants in a diffractive system.
  // At the same time generate a relative pT for the two.
  double zShare( double mDiff, double m1, double m2);
  double pxShare() const {return pxRel;}
  double pyShare() const {return pyRel;}
 
private:

  // Constants: could only be changed in the code itself.
  static const double XMINUNRESOLVED;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointer to the random number generator.
  Rndm*         rndmPtr;
 
  // Pointers to PDF sets.
  PDF*          pdfBeamPtr;
  PDF*          pdfHardBeamPtr;

  // Pointer to class for flavour generation.
  StringFlav*   flavSelPtr;

  // Initialization data, normally only set once.
  bool   allowJunction;
  int    maxValQuark, companionPower;
  double valencePowerMeson, valencePowerUinP, valencePowerDinP,
         valenceDiqEnhance, pickQuarkNorm, pickQuarkPower,
         diffPrimKTwidth, diffLargeMassSuppress;

  // Basic properties of a beam particle.
  int    idBeam, idBeamAbs;
  Vec4   pBeam;
  double mBeam;
  // Beam kind. Valence flavour content for hadrons.
  bool   isUnresolvedBeam, isLeptonBeam, isHadronBeam, isMesonBeam,
         isBaryonBeam;
  int    nValKinds, idVal[3], nVal[3];

  // Current parton density, by valence, sea and companion.
  int    idSave, iSkipSave, nValLeft[3];
  double xqgTot, xqVal, xqgSea, xqCompSum;

  // The list of resolved partons.
  vector resolved;

  // Status after all initiators have been accounted for. Junction content.
  int    nInit;
  bool   hasJunctionBeam;
  int    junCol[3];

  // Routine to calculate pdf's given previous interactions.
  double xfModified( int iSkip, int idIn, double x, double Q2);

  // Fraction of hadron momentum sitting in a valence quark distribution.
  double xValFrac(int j, double Q2);
  double Q2ValFracSav, uValInt, dValInt;

  // Fraction of hadron momentum sitting in a companion quark distribution.
  double xCompFrac(double xs);

  // Value of companion quark PDF, also given the sea quark x.
  double xCompDist(double xc, double xs);

  // Valence quark subdivision for diffractive systems.
  int    idVal1, idVal2, idVal3;
  double zRel, pxRel, pyRel;

};
 
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_BeamParticle_H
pythia8-8.1.86.orig/include/Pythia8/History.h0000644000175000017500000010063012357054734017134 0ustar  sunsun// History.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file is written by Stefan Prestel.
// It contains the main class for matrix element merging.
// Header file for the Clustering and History classes.

#ifndef Pythia8_History_H
#define Pythia8_History_H

#include "Pythia8/Basics.h"
#include "Pythia8/BeamParticle.h"
#include "Pythia8/Event.h"
#include "Pythia8/Info.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/PartonLevel.h"

namespace Pythia8 {

//==========================================================================

// Declaration of Clustering class.
// This class holds information about one radiator, recoiler, emitted system.
// This class is a container class for History class use.

class Clustering {

public:

   // The emitted parton location.
  int emitted;
  // The emittor parton
  int emittor;
  // The recoiler parton.
  int recoiler;
  // The colour connected recoiler (Can be different for ISR)
  int partner;
  // The scale associated with this clustering.
  double pTscale;

  // Default constructor
  Clustering(){
    emitted   = 0;
    emittor   = 0;
    recoiler  = 0;
    partner   = 0;
    pTscale   = 0.0;
  }

  // Default destructor
  ~Clustering(){}

  // Copy constructor
  Clustering( const Clustering& inSystem ){
    emitted  = inSystem.emitted;
    emittor  = inSystem.emittor;
    recoiler = inSystem.recoiler;
    partner  = inSystem.partner;
    pTscale  = inSystem.pTscale;
  }

  // Constructor with input
  Clustering( int emtIn, int radIn, int recIn, int partnerIn,
    double pTscaleIn ){
    emitted  = emtIn;
    emittor  = radIn;
    recoiler = recIn;
    partner  = partnerIn;
    pTscale  = pTscaleIn;
  }

  // Function to return pythia pT scale of clustering
  double pT() const { return pTscale; }

  // print for debug
  void list() const;

};

//==========================================================================

// Declaration of History class
//
// A History object represents an event in a given step in the CKKW-L
// clustering procedure. It defines a tree-like recursive structure,
// where the root node represents the state with n jets as given by
// the matrix element generator, and is characterized by the member
// variable mother being null. The leaves on the tree corresponds to a
// fully clustered paths where the original n-jets has been clustered
// down to the Born-level state. Also states which cannot be clustered
// down to the Born-level are possible - these will be called
// incomplete. The leaves are characterized by the vector of children
// being empty.

class History {

public:

  // The only constructor. Default arguments are used when creating
  // the initial history node. The \a depth is the maximum number of
  // clusterings requested. \a scalein is the scale at which the \a
  // statein was clustered (should be set to the merging scale for the
  // initial history node. \a beamAIn and beamBIn are needed to
  // calcutate PDF ratios, \a particleDataIn to have access to the
  // correct masses of particles. If \a isOrdered is true, the previous
  // clusterings has been ordered. \a is the PDF ratio for this
  // clustering (=1 for FSR clusterings). \a probin is the accumulated
  // probabilities for the previous clusterings, and \ mothin is the
  // previous history node (null for the initial node).
  History( int depth,
           double scalein,
           Event statein,
           Clustering c,
           MergingHooks* mergingHooksPtrIn,
           BeamParticle beamAIn,
           BeamParticle beamBIn,
           ParticleData* particleDataPtrIn,
           Info* infoPtrIn,
           bool isOrdered,
           bool isStronglyOrdered,
           bool isAllowed,
           bool isNextInInput,
           double probin,
           History * mothin);

  // The destructor deletes each child.
  ~History() {
    for ( int i = 0, N = children.size(); i < N; ++i ) delete children[i];
  }

  // Function to project paths onto desired paths.
  bool projectOntoDesiredHistories();

  // For CKKW-L, NL3 and UMEPS:
  // In the initial history node, select one of the paths according to
  // the probabilities. This function should be called for the initial
  // history node.
  // IN  trialShower*    : Previously initialised trialShower object,
  //                       to perform trial showering and as
  //                       repository of pointers to initialise alphaS
  //     PartonSystems* : PartonSystems object needed to initialise
  //                      shower objects
  // OUT double         : (Sukadov) , (alpha_S ratios) , (PDF ratios)
  double weightTREE(PartonLevel* trial, AlphaStrong * asFSR,
                    AlphaStrong * asISR, double RN);

  // For default NL3:
  // Return weight of virtual correction and subtractive for NL3 merging
  double weightLOOP(PartonLevel* trial, double RN);
  // Return O(\alpha_s)-term of CKKWL-weight for NL3 merging
  double weightFIRST(PartonLevel* trial, AlphaStrong* asFSR,
                  AlphaStrong* asISR, double RN, Rndm* rndmPtr );

  // For UMEPS:
  double weight_UMEPS_TREE(PartonLevel* trial, AlphaStrong * asFSR,
                    AlphaStrong * asISR, double RN);
  double weight_UMEPS_SUBT(PartonLevel* trial, AlphaStrong * asFSR,
                    AlphaStrong * asISR, double RN);

  // For unitary NL3:
  double weight_UNLOPS_TREE(PartonLevel* trial, AlphaStrong * asFSR,
                    AlphaStrong * asISR, double RN);
  double weight_UNLOPS_SUBT(PartonLevel* trial, AlphaStrong * asFSR,
                    AlphaStrong * asISR, double RN);
  double weight_UNLOPS_LOOP(PartonLevel* trial, double RN);
  double weight_UNLOPS_SUBTNLO(PartonLevel* trial, double RN);
  double weight_UNLOPS_CORRECTION( int order, PartonLevel* trial,
                  AlphaStrong* asFSR, AlphaStrong* asISR,
                  double RN, Rndm* rndmPtr );

  // Function to check if any allowed histories were found
  bool foundAllowedHistories() {
    return (children.size() > 0 && foundAllowedPath); }
  // Function to check if any ordered histories were found
  bool foundOrderedHistories() {
    return (children.size() > 0 && foundOrderedPath); }
  // Function to check if any ordered histories were found
  bool foundCompleteHistories() {
    return (children.size() > 0 && foundCompletePath); }

  // Function to set the state with complete scales for evolution
  void getStartingConditions( const double RN, Event& outState );
  // Function to get the state with complete scales for evolution
  bool getClusteredEvent( const double RN, int nSteps, Event& outState);
  // Function to get the first reclustered state above the merging scale.
  bool getFirstClusteredEventAboveTMS( const double RN, int nDesired,
    Event& process, int & nPerformed, bool updateProcess = true );
  // Function to return the depth of the history (i.e. the number of
  // reclustered splittings)
  int nClusterings();

  // Function to get the lowest multiplicity reclustered event
  Event lowestMultProc( const double RN) {
    // Return lowest multiplicity state
    return (select(RN)->state);
  }

  // Calculate and return pdf ratio
  double getPDFratio( int side, bool forSudakov, bool useHardPDF,
                      int flavNum, double xNum, double muNum,
                      int flavDen, double xDen, double muDen);

  // Function to print the history that would be chosen from the random number
  // RN. Mainly for debugging.
  void printHistory( const double RN );
  // Function to print the states in a history, starting from the hard process.
  // Mainly for debugging.
  void printStates();

  // Make Pythia class friend
  friend class Pythia;
  // Make Merging class friend
  friend class Merging;

private:

  // Number of trial emission to use for calculating the average number of
  // emissions
  static const int NTRIAL;

  // Function to set all scales in the sequence of states. This is a
  // wrapper routine for setScales and setEventScales methods
  void setScalesInHistory();

  // Function to find the index (in the mother histories) of the
  // child history, thus providing a way access the path from both
  // initial history (mother == 0) and final history (all children == 0)
  // IN vector : The index of each child in the children vector
  //                  of the current history node will be saved in
  //                  this vector
  // NO OUTPUT
  void findPath(vector& out);

  // Functions to set the  parton production scales and enforce
  // ordering on the scales of the respective clusterings stored in
  // the History node:
  // Method will start from lowest multiplicity state and move to
  // higher states, setting the production scales the shower would
  // have used.
  // When arriving at the highest multiplicity, the method will switch
  // and go back in direction of lower states to check and enforce
  // ordering for unordered histories.
  // IN vector : Vector of positions of the chosen child
  //                  in the mother history to allow to move
  //                  in direction initial->final along path
  //    bool        : True: Move in direction low->high
  //                       multiplicity and set production scales
  //                  False: Move in direction high->low
  //                       multiplicity and check and enforce
  //                       ordering
  // NO OUTPUT
  void setScales( vector index, bool forward);

  // Function to find a particle in all higher multiplicity events
  // along the history path and set its production scale to the input
  // scale
  // IN  int iPart       : Parton in refEvent to be checked / rescaled
  //     Event& refEvent : Reference event for iPart
  //     double scale    : Scale to be set as production scale for
  //                       unchanged copies of iPart in subsequent steps
  void scaleCopies(int iPart, const Event& refEvent, double rho);

  // Function to set the OVERALL EVENT SCALES [=state.scale()] to
  // the scale of the last clustering
  // NO INPUT
  // NO OUTPUT
  void setEventScales();

  // Function to print information on the reconstructed scales in one path.
  // For debug only.
  void printScales() { if ( mother ) mother->printScales();
    cout << " size " << state.size() << " scale " << scale << " clusterIn "
      << clusterIn.pT() << " state.scale() " << state.scale() << endl; }

  // Function to project paths onto desired paths.
  bool trimHistories();
  // Function to tag history for removal.
  void remove(){ doInclude = false; }
  // Function to return flag of allowed histories to choose from.
  bool keep(){ return doInclude; }
  // Function implementing checks on a paths, for deciding if the path should
  // be considered valid or not.
  bool keepHistory();
  // Function to check if a path is ordered in evolution pT.
  bool isOrderedPath( double maxscale );

  bool followsInputPath();

  // Function to check if all reconstucted states in a path pass the merging
  // scale cut.
  bool allIntermediateAboveRhoMS( double rhoms, bool good = true );
  // Function to check if any ordered paths were found (and kept).
  bool foundAnyOrderedPaths();

  // Functions to return the z value of the last ISR splitting
  // NO INPUT
  // OUTPUT double : z value of last ISR splitting in history
  double zISR();

  // Functions to return the z value of the last FSR splitting
  // NO INPUT
  // OUTPUT double : z value of last FSR splitting in history
  double zFSR();

  // Functions to return the pT scale of the last ISR splitting
  // NO INPUT
  // OUTPUT double : pT scale of last ISR splitting in history
  double pTISR();

  // Functions to return the pT scale of the last FSR splitting
  // NO INPUT
  // OUTPUT double : pT scale of last FSR splitting in history
  double pTFSR();

  // Functions to return the event with nSteps additional partons
  // INPUT  int   : Number of splittings in the event,
  //                as counted from core 2->2 process
  // OUTPUT Event : event with nSteps additional partons
  Event clusteredState( int nSteps);

  // Function to choose a path from all paths in the tree
  // according to their splitting probabilities
  // IN double    : Random number
  // OUT History* : Leaf of history path chosen
  History * select(double rnd);

  // For a full path, find the weight calculated from the ratio of
  // couplings, the no-emission probabilities, and possible PDF
  // ratios. This function should only be called for the last history
  // node of a full path.
  // IN  TimeShower : Already initialised shower object to be used as
  //                  trial shower
  //     double     : alpha_s value used in ME calculation
  //     double     : Maximal mass scale of the problem (e.g. E_CM)
  //     AlphaStrong: Initialised shower alpha_s object for FSR alpha_s
  //                  ratio calculation
  //     AlphaStrong: Initialised shower alpha_s object for ISR alpha_s
  //                  ratio calculation (can be different from previous)
  double weightTree(PartonLevel* trial, double as0, double maxscale,
    double pdfScale, AlphaStrong * asFSR, AlphaStrong * asISR,
    double& asWeight, double& pdfWeight);

  // Function to return the \alpha_s-ratio part of the CKKWL weight.
  double weightTreeALPHAS( double as0, AlphaStrong * asFSR,
    AlphaStrong * asISR );
  // Function to return the PDF-ratio part of the CKKWL weight.
  double weightTreePDFs( double maxscale, double pdfScale );
  // Function to return the no-emission probability part of the CKKWL weight.
  double weightTreeEmissions( PartonLevel* trial, int type, int njetMax,
    double maxscale );

  // Function to generate the O(\alpha_s)-term of the CKKWL-weight
  double weightFirst(PartonLevel* trial, double as0, double muR,
    double maxscale, AlphaStrong * asFSR, AlphaStrong * asISR, Rndm* rndmPtr );

  // Function to generate the O(\alpha_s)-term of the \alpha_s-ratios
  // appearing in the CKKWL-weight.
  double weightFirstALPHAS( double as0, double muR, AlphaStrong * asFSR,
    AlphaStrong * asISR);
  // Function to generate the O(\alpha_s)-term of the PDF-ratios
  // appearing in the CKKWL-weight.
  double weightFirstPDFs( double as0, double maxscale, double pdfScale,
    Rndm* rndmPtr );
  // Function to generate the O(\alpha_s)-term of the no-emission
  // probabilities appearing in the CKKWL-weight.
  double weightFirstEmissions(PartonLevel* trial, double as0, double maxscale,
    AlphaStrong * asFSR, AlphaStrong * asISR, bool fixpdf, bool fixas );

  // Function to return the default factorisation scale of the hard process.
  double hardFacScale(const Event& event);
  // Function to return the default renormalisation scale of the hard process.
  double hardRenScale(const Event& event);

  // Perform a trial shower using the \a pythia object between
  // maxscale down to this scale and return the corresponding Sudakov
  // form factor.
  // IN  trialShower : Shower object used as trial shower
  //     double     : Maximum scale for trial shower branching
  // OUT  0.0       : trial shower emission outside allowed pT range
  //      1.0       : trial shower successful (any emission was below
  //                  the minimal scale )
  double doTrialShower(PartonLevel* trial, int type, double maxscale,
    double minscale = 0.);

  // Function to bookkeep the indices of weights generated in countEmissions
  bool updateind(vector & ind, int i, int N);

  // Function to count number of emissions between two scales for NLO merging
  vector countEmissions(PartonLevel* trial, double maxscale,
    double minscale, int showerType, double as0, AlphaStrong * asFSR,
    AlphaStrong * asISR, int N, bool fixpdf, bool fixas);

  // Function to integrate PDF ratios between two scales over x and t,
  // where the PDFs are always evaluated at the lower t-integration limit
  double monteCarloPDFratios(int flav, double x, double maxScale,
           double minScale, double pdfScale, double asME, Rndm* rndmPtr);

  // Default: Check if a ordered (and complete) path has been found in
  // the initial node, in which case we will no longer be interested in
  // any unordered paths.
  bool onlyOrderedPaths();

  // Check if a strongly ordered (and complete) path has been found in the
  // initial node, in which case we will no longer be interested in
  // any unordered paths.
  bool onlyStronglyOrderedPaths();

  // Check if an allowed (according to user-criterion) path has been found in
  // the initial node, in which case we will no longer be interested in
  // any forbidden paths.
  bool onlyAllowedPaths();

  // When a full path has been found, register it with the initial
  // history node.
  // IN  History : History to be registered as path
  //     bool    : Specifying if clusterings so far were ordered
  //     bool    : Specifying if path is complete down to 2->2 process
  // OUT true if History object forms a plausible path (eg prob>0 ...)
  bool registerPath(History & l, bool isOrdered, bool isStronglyOrdered,
         bool isAllowed, bool isComplete);

  // For the history-defining state (and if necessary interfering
  // states), find all possible clusterings.
  // NO INPUT
  // OUT vector of all (rad,rec,emt) systems
  vector getAllQCDClusterings();

  // For one given state, find all possible clusterings.
  // IN  Event : state to be investigated
  // OUT vector of all (rad,rec,emt) systems in the state
  vector getQCDClusterings( const Event& event);

  // Function to construct (rad,rec,emt) triples from the event
  // IN  int   : Position of Emitted in event record for which
  //             dipoles should be constructed
  //     int   : Colour topogy to be tested
  //             1= g -> qqbar, causing 2 -> 2 dipole splitting
  //             2= q(bar) -> q(bar) g && g -> gg,
  //              causing a 2 -> 3 dipole splitting
  //     Event : event record to be checked for ptential partners
  // OUT vector of all allowed radiator+recoiler+emitted triples
  vector findQCDTriple (int EmtTagIn, int colTopIn,
                       const Event& event, vector PosFinalPartn,
                       vector  PosInitPartn );

  vector getAllEWClusterings();
  vector getEWClusterings( const Event& event);
  vector findEWTriple( int EmtTagIn, const Event& event,
                       vector PosFinalPartn );

  vector getAllSQCDClusterings();
  vector getSQCDClusterings( const Event& event);
  vector findSQCDTriple (int EmtTagIn, int colTopIn,
                       const Event& event, vector PosFinalPartn,
                       vector  PosInitPartn );

  // Calculate and return the probability of a clustering.
  // IN  Clustering : rad,rec,emt - System for which the splitting
  //                  probability should be calcuated
  // OUT splitting probability
  double getProb(const Clustering & SystemIn);

  // Set up the beams (fill the beam particles with the correct
  // current incoming particles) to allow calculation of splitting
  // probability.
  // For interleaved evolution, set assignments dividing PDFs into
  // sea and valence content. This assignment is, until a history path
  // is chosen and a first trial shower performed, not fully correct
  // (since content is chosen form too high x and too low scale). The
  // assignment used for reweighting will be corrected after trial
  // showering
  void setupBeams();

  // Calculate the PDF ratio used in the argument of the no-emission
  // probability.
  double pdfForSudakov();

  // Calculate the hard process matrix element to include in the selection
  // probability.
  double hardProcessME( const Event& event);

  // Perform the clustering of the current state and return the
  // clustered state.
  // IN Clustering : rad,rec,emt triple to be clustered to two partons
  // OUT clustered state
  Event cluster(const Clustering & inSystem);

  // Function to get the flavour of the radiator before the splitting
  // for clustering
  // IN  int   : Position of the radiator after the splitting, in the event
  //     int   : Position of the emitted after the splitting, in the event
  //     Event : Reference event
  // OUT int   : Flavour of the radiator before the splitting
  int getRadBeforeFlav(const int RadAfter, const int EmtAfter,
        const Event& event);

  // Function to get the colour of the radiator before the splitting
  // for clustering
  // IN  int   : Position of the radiator after the splitting, in the event
  //     int   : Position of the emitted after the splitting, in the event
  //     Event : Reference event
  // OUT int   : Colour of the radiator before the splitting
  int getRadBeforeCol(const int RadAfter, const int EmtAfter,
        const Event& event);

  // Function to get the anticolour of the radiator before the splitting
  // for clustering
  // IN  int   : Position of the radiator after the splitting, in the event
  //     int   : Position of the emitted after the splitting, in the event
  //     Event : Reference event
  // OUT int   : Anticolour of the radiator before the splitting
  int getRadBeforeAcol(const int RadAfter, const int EmtAfter,
        const Event& event);

  // Function to get the parton connected to in by a colour line
  // IN  int   : Position of parton for which partner should be found
  //     Event : Reference event
  // OUT int   : If a colour line connects the "in" parton with another
  //             parton, return the Position of the partner, else return 0
  int getColPartner(const int in, const Event& event);

  // Function to get the parton connected to in by an anticolour line
  // IN  int   : Position of parton for which partner should be found
  //     Event : Reference event
  // OUT int   : If an anticolour line connects the "in" parton with another
  //             parton, return the Position of the partner, else return 0
  int getAcolPartner(const int in, const Event& event);

  // Function to get the list of partons connected to the particle
  // formed by reclusterinf emt and rad by colour and anticolour lines
  // IN  int          : Position of radiator in the clustering
  // IN  int          : Position of emitted in the clustering
  //     Event        : Reference event
  // OUT vector  : List of positions of all partons that are connected
  //                    to the parton that will be formed
  //                    by clustering emt and rad.
  vector getReclusteredPartners(const int rad, const int emt,
    const Event& event);

  // Function to extract a chain of colour-connected partons in
  // the event
  // IN     int          : Type of parton from which to start extracting a
  //                       parton chain. If the starting point is a quark
  //                       i.e. flavType = 1, a chain of partons that are
  //                       consecutively connected by colour-lines will be
  //                       extracted. If the starting point is an antiquark
  //                       i.e. flavType =-1, a chain of partons that are
  //                       consecutively connected by anticolour-lines
  //                       will be extracted.
  // IN      int         : Position of the parton from which a
  //                       colour-connected chain should be derived
  // IN      Event       : Refernence event
  // IN/OUT  vector : Partons that should be excluded from the search.
  // OUT     vector : Positions of partons along the chain
  // OUT     bool        : Found singlet / did not find singlet
  bool getColSinglet(const int flavType, const int iParton,
    const Event& event, vector& exclude,
    vector& colSinglet);

  // Function to check that a set of partons forms a colour singlet
  // IN  Event       : Reference event
  // IN  vector : Positions of the partons in the set
  // OUT bool        : Is a colour singlet / is not
  bool isColSinglet( const Event& event, vector system);
  // Function to check that a set of partons forms a flavour singlet
  // IN  Event       : Reference event
  // IN  vector : Positions of the partons in the set
  // IN  int         : Flavour of all the quarks in the set, if
  //                   all quarks in a set should have a fixed flavour
  // OUT bool        : Is a flavour singlet / is not
  bool isFlavSinglet( const Event& event,
    vector system, int flav=0);

  // Function to properly colour-connect the radiator to the rest of
  // the event, as needed during clustering
  // IN  Particle& : Particle to be connected
  //     Particle  : Recoiler forming a dipole with Radiator
  //     Event     : event to which Radiator shall be appended
  // OUT true               : Radiator could be connected to the event
  //     false              : Radiator could not be connected to the
  //                          event or the resulting event was
  //                          non-valid
  bool connectRadiator( Particle& Radiator, const int RadType,
                        const Particle& Recoiler, const int RecType,
                        const Event& event );

  // Function to find a colour (anticolour) index in the input event
  // IN  int col       : Colour tag to be investigated
  //     int iExclude1 : Identifier of first particle to be excluded
  //                     from search
  //     int iExclude2 : Identifier of second particle to be excluded
  //                     from  search
  //     Event event   : event to be searched for colour tag
  //     int type      : Tag to define if col should be counted as
  //                      colour (type = 1) [->find anti-colour index
  //                                         contracted with col]
  //                      anticolour (type = 2) [->find colour index
  //                                         contracted with col]
  // OUT int           : Position of particle in event record
  //                     contraced with col [0 if col is free tag]
  int FindCol(int col, int iExclude1, int iExclude2,
              const Event& event, int type, bool isHardIn);

  // Function to in the input event find a particle with quantum
  // numbers matching those of the input particle
  // IN  Particle : Particle to be searched for
  //     Event    : Event to be searched in
  // OUT int      : > 0 : Position of matching particle in event
  //                < 0 : No match in event
  int FindParticle( const Particle& particle, const Event& event,
    bool checkStatus = true );

  // Function to check if rad,emt,rec triple is allowed for clustering
  // IN int rad,emt,rec,partner : Positions (in event record) of the three
  //                      particles considered for clustering, and the
  //                      correct colour-connected recoiler (=partner)
  //    Event event     : Reference event
  bool allowedClustering( int rad, int emt, int rec, int partner,
    const Event& event );

  // Function to check if rad,emt,rec triple is results in
  // colour singlet radBefore+recBefore
  // IN int rad,emt,rec : Positions (in event record) of the three
  //                      particles considered for clustering
  //    Event event     : Reference event
  bool isSinglett( int rad, int emt, int rec, const Event& event );

  // Function to check if event is sensibly constructed: Meaning
  // that all colour indices are contracted and that the charge in
  // initial and final states matches
  // IN  event : event to be checked
  // OUT TRUE  : event is properly construced
  //     FALSE : event not valid
  bool validEvent( const Event& event );

  // Function to check whether two clusterings are identical, used
  // for finding the history path in the mother -> children direction
  bool equalClustering( Clustering clus1 , Clustering clus2 );

  // Chose dummy scale for event construction. By default, choose
  //     sHat     for 2->Boson(->2)+ n partons processes and
  //     M_Boson  for 2->Boson(->)             processes
  double choseHardScale( const Event& event ) const;

  // If the state has an incoming hadron return the flavour of the
  // parton entering the hard interaction. Otherwise return 0
  int getCurrentFlav(const int) const;

   // If the state has an incoming hadron return the x-value for the
   // parton entering the hard interaction. Otherwise return 0.
  double getCurrentX(const int) const;

  double getCurrentZ(const int rad, const int rec, const int emt) const;

  // Function to compute "pythia pT separation" from Particle input
  double pTLund(const Particle& RadAfterBranch,const Particle& EmtAfterBranch,
                const Particle& RecAfterBranch, int ShowerType);

  // Function to return the position of the initial line before (or after)
  // a single (!) splitting.
  int posChangedIncoming(const Event& event, bool before);

  // Function to give back the ratio of PDFs and PDF * splitting kernels
  // needed to convert a splitting at scale pdfScale, chosen with running
  // PDFs, to a splitting chosen with PDFs at a fixed scale mu. As needed to
  // properly count emissions.
  double pdfFactor( const Event& event, const int type, double pdfScale,
    double mu );

  // Function giving the product of splitting kernels and PDFs so that the
  // resulting flavour is given by flav. This is used as a helper routine
  // to dgauss
  double integrand(int flav, double x, double scaleInt, double z);

  //----------------------------------------------------------------------//
  // Class members.
  //----------------------------------------------------------------------//

  // The state of the event correponding to this step in the
  // reconstruction.
  Event state;

  // The previous step from which this step has been clustered. If
  // null, this is the initial step with the n-jet state generated by
  // the matrix element.
  History * mother;

  // The different steps corresponding to possible clusterings of this
  // state.
  vector children;

  // The different paths which have been reconstructed indexed with
  // the (incremental) corresponding probability. This map is empty
  // unless this is the initial step (mother == 0).
  map paths;

  // The sum of the probabilities of the full paths. This is zero
  // unless this is the initial step (mother == 0).
  double sumpath;

  // The different allowed paths after projection, indexed with
  // the (incremental) corresponding probability. This map is empty
  // unless this is the initial step (mother == 0).
  map goodBranches, badBranches;
  // The sum of the probabilities of allowed paths after projection. This is
  // zero unless this is the initial step (mother == 0).
  double sumGoodBranches, sumBadBranches;

  // This is set true if an ordered (and complete) path has been found
  // and inserted in paths.
  bool foundOrderedPath;

  // This is set true if a strongly ordered (and complete) path has been found
  // and inserted in paths.
  bool foundStronglyOrderedPath;

  // This is set true if an allowed (according to a user criterion) path has
  // been found and inserted in paths.
  bool foundAllowedPath;

  // This is set true if a complete (with the required number of
  // clusterings) path has been found and inserted in paths.
  bool foundCompletePath;

  // The scale of this step, corresponding to clustering which
  // constructed the corresponding state (or the merging scale in case
  // mother == 0).
  double scale;

  // Flag indicating if a clustering in the construction of all histories is
  // the next clustering demanded by inout clusterings in LesHouches 2.0
  // accord.
  bool nextInInput;

  // The probability associated with this step and the previous steps.
  double prob;

  // The partons and scale of the last clustering.
  Clustering clusterIn;
  int iReclusteredOld, iReclusteredNew;

  // Flag to include the path amongst allowed paths.
  bool doInclude;

  // Pointer to MergingHooks object to get all the settings.
  MergingHooks* mergingHooksPtr;

   // The default constructor is private.
  History() {}

  // The copy-constructor is private.
  History(const History &) {}

  // The assignment operator is private.
  History & operator=(const History &) {
    return *this;
  }

  // BeamParticle to get access to PDFs
  BeamParticle beamA;
  BeamParticle beamB;
  // ParticleData needed to initialise the shower AND to get the
  // correct masses of partons needed in calculation of probability
  ParticleData* particleDataPtr;

  // Info object to have access to all information read from LHE file
  Info* infoPtr;

  // Minimal scalar sum of pT used in Herwig to choose history
  double sumScalarPT;

};

//==========================================================================

} // end namespace Pythia8

#endif // end Pythia8_History_H
pythia8-8.1.86.orig/include/Pythia8/ResonanceWidths.h0000644000175000017500000004353312357054742020602 0ustar  sunsun// ResonanceWidths.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Header file for resonance properties: dynamical widths etc.
// ResonanceWidths: base class for all resonances.
// ResonanceGmZ, ...: derived classes for individual resonances.

#ifndef Pythia8_ResonanceWidths_H
#define Pythia8_ResonanceWidths_H

#include "Pythia8/Basics.h"
#include "Pythia8/Info.h"
#include "Pythia8/PythiaStdlib.h"
#include "Pythia8/Settings.h"
#include "Pythia8/StandardModel.h"

namespace Pythia8 {

//==========================================================================

// Forward references to ParticleData and StandardModel classes.
class DecayChannel;
class ParticleData;
class ParticleDataEntry;
class Couplings;

//==========================================================================

// The ResonanceWidths is the base class. Also used for generic resonaces.

class ResonanceWidths {

public:

  // Destructor.
  virtual ~ResonanceWidths() {}

  // Set up standard properties.
  void initBasic(int idResIn, bool isGenericIn = false) {
    idRes = idResIn; isGeneric = isGenericIn;}
 
  // Calculate and store partial and total widths at the nominal mass.
  virtual bool init(Info* infoPtrIn, Settings* settingsPtrIn,
    ParticleData* particleDataPtrIn, Couplings* couplingsPtrIn);

  // Return identity of particle species.
  int id() const {return idRes;}
 
  // Calculate the total/open width for given mass, charge and instate.
  double width(int idSgn, double mHatIn, int idInFlavIn = 0,
    bool openOnly = false, bool setBR = false, int idOutFlav1 = 0,
    int idOutFlav2 = 0);

  // Special case to calculate open final-state width.
  double widthOpen(int idSgn, double mHatIn, int idIn = 0) {
    return width( idSgn, mHatIn, idIn, true, false);}

  // Special case to store open final-state widths for channel selection.
  double widthStore(int idSgn, double mHatIn, int idIn = 0) {
    return width( idSgn, mHatIn, idIn, true, true);}

  // Return fraction of width open for particle and antiparticle.
  double openFrac(int idSgn) {return (idSgn > 0) ? openPos : openNeg;}

  // Return forced rescaling factor of resonance width.
  double widthRescaleFactor() {return forceFactor;}

  // Special case to calculate one final-state width.
  // Currently only used for Higgs -> qqbar, g g or gamma gamma.
  double widthChan(double mHatIn, int idOutFlav1, int idOutFlav2) {
    return width( 1, mHatIn, 0, false, false, idOutFlav1, idOutFlav2);}

protected:

  // Constructor.
  ResonanceWidths() {}

  // Constants: could only be changed in the code itself.
  static const int    NPOINT;
  static const double MASSMIN, MASSMARGIN;

  // Particle properties always present.
  int    idRes, hasAntiRes;
  bool   doForceWidth, isGeneric, allowCalcWidth;
  double minWidth, minThreshold, mRes, GammaRes, m2Res, GamMRat,
         openPos, openNeg, forceFactor;

  // Properties for currently studied decay channel(s).
  int    iChannel, onMode, meMode, mult, id1, id2, id3, id1Abs,
         id2Abs, id3Abs, idInFlav;
  double widNow, mHat, mf1, mf2, mf3, mr1, mr2, mr3, ps, kinFac,
         alpEM, alpS, colQ, preFac;

  // Pointer to properties of the particle species.
  ParticleDataEntry* particlePtr;

  // Pointer to various information on the generation.
  Info*         infoPtr;

  // Pointer to the settings database.
  Settings*     settingsPtr;

  // Pointer to the particle data table.
  ParticleData* particleDataPtr;

  // Pointers to Standard Model and SUSY couplings.
  Couplings*    couplingsPtr;
 
  // Initialize constants.
  virtual void initConstants() {}

  // Virtual methods to handle model-specific (non-SM) part of initialization
  // for use by derived classes that implement additional models (eg SUSY).
  virtual bool initBSM() {return true;}
  virtual bool allowCalc() {return true;}
 
  // Calculate various common prefactors for the current mass.
  // Optional argument calledFromInit only used for Z0.
  virtual void calcPreFac(bool = false) {}

  // Calculate width for currently considered channel.
  // Optional argument calledFromInit only used for Z0.
  virtual void calcWidth(bool = false) {}

  // Simple routines for matrix-element integration over Breit-Wigners.
  double numInt1BW(double mHatIn, double m1, double Gamma1, double mMin1,
    double m2, int psMode = 1);
  double numInt2BW(double mHatIn, double m1, double Gamma1, double mMin1,
    double m2, double Gamma2, double mMin2, int psMode = 1);

};
  
//==========================================================================

// The ResonanceGeneric class handles a generic resonance.
// Only needs a constructor and allowCalc = false; for the rest uses 
// defaults in base class. 

class ResonanceGeneric : public ResonanceWidths {

public:

  // Constructor.
  ResonanceGeneric(int idResIn) {initBasic(idResIn, true);}

  // By default, assume no dedicated code exists to compute width.
  virtual bool allowCalc() {return false;}

};
  
//==========================================================================

// The ResonanceGmZ class handles the gamma*/Z0 resonance.

class ResonanceGmZ : public ResonanceWidths {

public:

  // Constructor.
  ResonanceGmZ(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  int    gmZmode;
  double thetaWRat, ei2, eivi, vi2ai2, gamNorm, intNorm, resNorm;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

};
  
//==========================================================================

// The ResonanceW class handles the W+- resonance.

class ResonanceW : public ResonanceWidths {

public:

  // Constructor.
  ResonanceW(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double thetaWRat, alpEM;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceTop class handles the top/antitop resonance.

class ResonanceTop : public ResonanceWidths {

public:

  // Constructor.
  ResonanceTop(int idResIn) {initBasic(idResIn);}
 
private:

  // Locally stored properties and couplings.
  double thetaWRat, m2W, tanBeta, tan2Beta, mbRun;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceFour class handles fourth-generation resonances.

class ResonanceFour : public ResonanceWidths {

public:

  // Constructor.
  ResonanceFour(int idResIn) {initBasic(idResIn);}
 
private:

  // Locally stored properties and couplings.
  double thetaWRat, m2W;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceH class handles the SM and BSM Higgs resonance.
// higgsType = 0 : SM H; = 1: h^0/H_1; = 2 : H^0/H_2; = 3 : A^0/A_3.

class ResonanceH : public ResonanceWidths {

public:

  // Constructor.
  ResonanceH(int higgsTypeIn, int idResIn) : higgsType(higgsTypeIn)
    {initBasic(idResIn);}

private:

  // Constants: could only be changed in the code itself.
  static const double MASSMINWZ, MASSMINT, GAMMAMARGIN;

  // Higgs type in current instance.
  int    higgsType;

  // Locally stored properties and couplings.
  bool   useCubicWidth, useRunLoopMass, useNLOWidths;
  double sin2tW, cos2tW, mT, mZ, mW, mHchg, GammaT, GammaZ, GammaW,
         rescAlpS, rescColQ, coup2d, coup2u, coup2l, coup2Z, coup2W,
         coup2Hchg, coup2H1H1, coup2A3A3, coup2H1Z, coup2A3Z, coup2A3H1, 
         coup2HchgW, mLowT, mStepT, mLowZ, mStepZ, mLowW, mStepW,
         kinFacT[101], kinFacZ[101], kinFacW[101];
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

  // Sum up loop contributions in Higgs -> g + g.
  double eta2gg();

  // Sum up loop contributions in Higgs -> gamma + gamma.
  double eta2gaga();

  // Sum up loop contributions in Higgs -> gamma + Z0.
  double eta2gaZ();

};
  
//==========================================================================

// The ResonanceHchg class handles the H+- resonance.

class ResonanceHchg : public ResonanceWidths {

public:

  // Constructor.
  ResonanceHchg(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  bool   useCubicWidth;
  double thetaWRat, mW, tanBeta, tan2Beta, coup2H1W;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceZprime class handles the gamma*/Z0 /Z'^0 resonance.

class ResonanceZprime : public ResonanceWidths {

public:

  // Constructor.
  ResonanceZprime(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  int    gmZmode;
  double sin2tW, cos2tW, thetaWRat, mZ, GammaZ, m2Z, GamMRatZ, afZp[20],
         vfZp[20], coupZpWW, ei2, eivi, vai2, eivpi, vaivapi, vapi2,
         gamNorm, gamZNorm, ZNorm, gamZpNorm, ZZpNorm, ZpNorm;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

};
  
//==========================================================================

// The ResonanceWprime class handles the W'+- resonance.

class ResonanceWprime : public ResonanceWidths {

public:

  // Constructor.
  ResonanceWprime(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double thetaWRat, cos2tW, alpEM, aqWp, vqWp, alWp, vlWp, coupWpWZ;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceRhorizontal class handles the R^0 resonance.

class ResonanceRhorizontal : public ResonanceWidths {

public:

  // Constructor.
  ResonanceRhorizontal(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double thetaWRat;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
   
//==========================================================================

// The ResonanceExcited class handles excited-fermion resonances.

class ResonanceExcited : public ResonanceWidths {

public:

  // Constructor.
  ResonanceExcited(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double Lambda, coupF, coupFprime, coupFcol, sin2tW, cos2tW;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceGraviton class handles the excited Graviton resonance.

class ResonanceGraviton : public ResonanceWidths {

public:

  // Constructor.
  ResonanceGraviton(int idResIn) {initBasic(idResIn);}
 
private:

  // Locally stored properties and couplings.
  bool   eDsmbulk, eDvlvl;
  double kappaMG;
 
  // Couplings between graviton and SM (map from particle id to coupling).
  double eDcoupling[27];

  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};

//==========================================================================

// The ResonanceKKgluon class handles the g^*/KK-gluon^* resonance.

class ResonanceKKgluon : public ResonanceWidths {

public:

  // Constructor.
  ResonanceKKgluon(int idResIn) {initBasic(idResIn);}
 
private:

  // Locally stored properties.
  double normSM, normInt, normKK;

  // Couplings between kk gluon and SM (indexed by particle id).
  // Helicity dependent couplings. Use vector/axial-vector
  // couplings internally, gv/ga = 0.5 * (gL +/- gR).
  double eDgv[10], eDga[10];

  // Interference parameter.
  int interfMode;

  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool calledFromInit = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool calledFromInit = false);

};

//==========================================================================

// The ResonanceLeptoquark class handles the LQ/LQbar resonance.

class ResonanceLeptoquark : public ResonanceWidths {

public:

  // Constructor.
  ResonanceLeptoquark(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double kCoup;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};

//==========================================================================

// The ResonanceNuRight class handles righthanded Majorana neutrinos.

class ResonanceNuRight : public ResonanceWidths {

public:

  // Constructor.
  ResonanceNuRight(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double thetaWRat, mWR;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceZRight class handles the Z_R^0 resonance.

class ResonanceZRight : public ResonanceWidths {

public:

  // Constructor.
  ResonanceZRight(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double sin2tW, thetaWRat;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceWRight class handles the W_R+- resonance.

class ResonanceWRight : public ResonanceWidths {

public:

  // Constructor.
  ResonanceWRight(int idResIn) {initBasic(idResIn);}
  
private:

  // Locally stored properties and couplings.
  double thetaWRat;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

// The ResonanceHchgchgLeft class handles the H++/H-- (left) resonance.

class ResonanceHchgchgLeft : public ResonanceWidths {

public:

  // Constructor.
  ResonanceHchgchgLeft(int idResIn) {initBasic(idResIn);}
 
private:

  // Locally stored properties and couplings.
  double yukawa[4][4], gL, vL, mW;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
   
//==========================================================================

// The ResonanceHchgchgRight class handles the H++/H-- (right) resonance.

class ResonanceHchgchgRight : public ResonanceWidths {

public:

  // Constructor.
  ResonanceHchgchgRight(int idResIn) {initBasic(idResIn);}
 
private:

  // Locally stored properties and couplings.
  int    idWR;
  double yukawa[4][4], gR;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  virtual void calcPreFac(bool = false);

  // Caclulate width for currently considered channel.
  virtual void calcWidth(bool = false);

};
  
//==========================================================================

} // end namespace Pythia8

#endif // Pythia8_ResonanceWidths_H
pythia8-8.1.86.orig/examples/0000755000175000017500000000000012357553762014174 5ustar  sunsunpythia8-8.1.86.orig/examples/main46.cc0000644000175000017500000001562112357054700015572 0ustar  sunsun// main46.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.
//
// Author: S.Chekanov (ANL).
// An example of how to write ProMC files.
//
// The ProMC library is described at http://atlaswww.hep.anl.gov/asc/promc/
// A makefile can be found in the ProMC  package, in examples/pythia.

#include 
#include "Pythia.h"
// ProMC file
#include "ProMCHeader.pb.h"
#include "ProMC.pb.h"
#include "ProMCBook.h"

using namespace Pythia8;

//--------------------------------------------------------------------------

string getEnvVar( std::string const & key ) {
  char * val = getenv( key.c_str() );
  return (val == NULL) ? std::string("") : std::string(val);
}

//--------------------------------------------------------------------------

void readPDG( ProMCHeader * header  ) {

  string temp_string;
  istringstream curstring;
  string  PdgTableFilename = getEnvVar("PROMC") + "/data/particle.tbl";
  if (PdgTableFilename.size() < 2) {
    cout << "**        ERROR: PROMC variable not set. Did you run source.sh"
         << "      **" << endl;
    exit(1);
  }

  ifstream file_to_read(PdgTableFilename.c_str());
  if (!file_to_read.good()) {
    cout << "**        ERROR: PDG Table (" << PdgTableFilename
         <<  ") not found! exit.                        **" << endl;
    exit(1);
    return;
  }

  // First three lines of the file are useless.
  getline(file_to_read,temp_string);
  getline(file_to_read,temp_string);
  getline(file_to_read,temp_string);

  while (getline(file_to_read,temp_string)) {
    // Needed when using several times istringstream::str(string).
    curstring.clear();
    curstring.str(temp_string);
    long int ID; std::string name; int charge; float mass; float width;
    float lifetime;
    // ID name   chg       mass    total width   lifetime
    //  1 d      -1      0.33000     0.00000   0.00000E+00
    //  in the table, the charge is in units of e+/3
    //  the total width is in GeV
    //  the lifetime is ctau in mm
    curstring >> ID >> name >> charge >> mass >> width >> lifetime;
    ProMCHeader_ParticleData* pp= header->add_particledata();
    pp->set_id(ID);
    pp->set_mass(mass);
    pp->set_name(name);
    pp->set_width(width);
    pp->set_lifetime(lifetime);
    cout << ID << " " << name << " " << mass << endl;
  }

}

//--------------------------------------------------------------------------

int main() {

  int Ntot = 1000; // Total number of events.

  // Generator. Process selection. LHC initialization.
  Pythia pythia;
  pythia.readString("WeakSingleBoson:ffbar2gmZ = on");
  pythia.readString("PhaseSpace:mHatMin = 80.");
  pythia.readString("PhaseSpace:mHatMax = 120.");
  pythia.readString("Random:setSeed = on");
  pythia.readString("Random:seed = 0");
  pythia.init( 2212, 2212, 14000.);

  // ****************  book ProMC file **********************
  ProMCBook* epbook = new ProMCBook("Pythia8.promc","w");
  epbook->setDescription(Ntot,"PYTHIA8");

  // Info on incoming beams and CM energy.
  ProMCHeader header;
  header.set_id1( pythia.info.idA() );
  header.set_id2( pythia.info.idB() );
  header.set_ecm( pythia.info.eCM() );
  header.set_s( pythia.info.s() );

 // Use the range 0.01 MeV to 20 TeV using varints (integers).
 // With particle in GeV, we multiply it by kEV, to get 0.01 MeV = 1 unit.
 const double kEV = 1000*100;
 // With particle in mm, we multiply it by kL to get 0.01 mm = 1 unit.
  const double kL = 100;

  // Set units.
  header.set_momentumunit( (int)kEV );
  header.set_lengthunit( (int)kL );

   // Store a map with PDG information (stored in the header).
  readPDG( &header );
  epbook->setHeader(header); // write header
 
  // Begin event loop. Generate event. Skip if error.
  for (int n = 0; n < Ntot; n++) {
    if (!pythia.next()) {
      // If failure because reached end of file then exit event loop.
      if (pythia.info.atEndOfFile()) {
        cout << " Aborted since reached end of Les Houches Event File\n";
        break;
      }
      continue;
    }

    //************  ProMC file ***************//
    ProMCEvent promc;

    // Fill event information.
    ProMCEvent_Event *eve = promc.mutable_event();
    eve->set_number(n);
    eve->set_process_id( pythia.info.code() );     // process ID
    eve->set_scale( pythia.info.pTHat( ));         // relevant for 2 -> 2 only
    eve->set_alpha_qed( pythia.info.alphaEM() );
    eve->set_alpha_qcd( pythia.info.alphaS() );
    eve->set_scale_pdf( pythia.info.QFac() );
    eve->set_x1( pythia.info.x1pdf() );
    eve->set_x2( pythia.info.x2pdf() );
    eve->set_id1( pythia.info.id1pdf() );
    eve->set_id2( pythia.info.id2pdf() );
    eve->set_pdf1( pythia.info.pdf1() );
    eve->set_pdf2( pythia.info.pdf2() );
    eve->set_weight( pythia.info.weight() );

    // Fill truth particle information, looping over all particles in event.
    ProMCEvent_Particles *pa= promc.mutable_particles();
    for (int i = 0; i < pythia.event.size(); i++) {
 
      // Fill information particle by particle.
      pa->add_id( i  );
      pa->add_pdg_id( pythia.event[i].id() );
      // Particle status in HEPMC style.
      pa->add_status(  pythia.event.statusHepMC(i) );
      pa->add_mother1( pythia.event[i].mother1() );
      pa->add_mother2( pythia.event[i].mother2() );
      pa->add_daughter1( pythia.event[i].daughter1() );
      pa->add_daughter2( pythia.event[i].daughter2() );
      // Only store three-momentum and mass, so need to calculate energy.
      pa->add_px( (int)(pythia.event[i].px()*kEV) );
      pa->add_py( (int)(pythia.event[i].py()*kEV) );
      pa->add_pz( (int)(pythia.event[i].pz()*kEV) );
      pa->add_mass( (int)(pythia.event[i].m()*kEV) );
      // Store production vertex; will often be the origin.
      pa->add_x( int(pythia.event[i].xProd()*kL) );
      pa->add_y( int(pythia.event[i].yProd()*kL) );
      pa->add_z( int(pythia.event[i].zProd()*kL) );
      pa->add_t( int(pythia.event[i].tProd()*kL) );

    } // end loop over particles in the event
    epbook->write(promc); // write event

  } // end loop over events

  // Print statistics.
  pythia.stat();
  double sigmapb = pythia.info.sigmaGen() * 1.0E9;
  cout << "== Cross section for this run = " <<  sigmapb << " pb" << endl;
  cout << "== Events for this run = " <<  Ntot << endl;
  double lumi = (Ntot/sigmapb)/1000;
  cout << "== Luminosity for this run = " <<  lumi  << " fb-1" << endl;
  cout << "\n\n";

  // Save post-generation statistics for ProMC.
  ProMCStat stat;
  stat.set_cross_section_accumulated( sigmapb ); // in pb
  stat.set_cross_section_error_accumulated( pythia.info.sigmaErr() * 1e9 );
  stat.set_luminosity_accumulated( Ntot/sigmapb );
  stat.set_ntried( pythia.info.nTried() );
  stat.set_nselected( pythia.info.nSelected() );
  stat.set_naccepted( pythia.info.nAccepted() );
  epbook->setStatistics( stat );

  // Close the ProMC file.
  epbook->close(); // close

  return 0;
}
pythia8-8.1.86.orig/examples/main53.cmnd0000644000175000017500000000277212357054701016130 0ustar  sunsun! main53.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

! 1) Settings used in the main program.
Main:numberOfEvents = 1000         ! number of events to generate

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = off ! list changed particle data
Next:numberCount = 100             ! print message every n events
Next:numberShowInfo = 2            ! print event information n times
Next:numberShowProcess = 2         ! print process record n times
Next:numberShowEvent = 1           ! print event record n times

! 3) Include photon-in-proton: use MRST2004qed set
PDF:useLHAPDF = on
PDF:LHAPDFset = MRST2004qed.LHgrid

! 4 Two options to select hard process to generate.
! A) Read in external event with incoming photon in the ME,
!    from pre-generated .lhe file (thanks to SANC and R. Sadykov).
#Beams:frameType = 4               ! read in LHE file
#Beams:LHEF = photoninproton.lhe   ! name of LHE file
! B) Select internal Pythia processes.
! Use that default is 14 TeV pp,so don't set beams.
WeakBosonAndParton:fgm2Wf = on     ! fermion gamma -> W+- fermion'

! 5) Test flags to simplify generation
PartonLevel:MPI = off              ! no multiparton interactions
#PartonLevel:ISR = off              ! initial-state radiation
#PartonLevel:FSR = off              ! no final-state radiation
HadronLevel:Hadronize = off        ! no hadronization
pythia8-8.1.86.orig/examples/powheg-hvq.lhe0000644000175000017500000024675612357054721016766 0ustar  sunsun


     2212     2212  7.00000E+03  7.00000E+03     -1     -1     -1     -1      3      1
  8.00334E+02  0.00000E+00  0.00000E+00   1006


      5   1006  1.00000E+00  1.90417E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.693639711E+02  2.693639711E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -5.818116662E+02  5.818116662E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  5.649633545E+01 -1.409096557E+02 -3.628291203E+02  4.288745010E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -4.477951077E+01  1.559196728E+02  1.766816856E+02  2.945735341E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -1.171682467E+01 -1.501001705E+01 -1.263002604E+02  1.277276022E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.50665E+01  0.00000E+00  0.00000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00  4.787391958E+02  4.787391958E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -1.033006895E+03  1.033006895E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.043157482E+02 -1.000299312E+02 -4.505538093E+02  5.031177770E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.728148005E+02  1.504698493E+02 -5.147808256E+02  5.888517888E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  6.849905229E+01 -5.043991813E+01  4.110669356E+02  4.197765251E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.29243E+01  0.00000E+00  0.00000E+00
      -2    -1     0     0     0   142  0.000000000E+00  0.000000000E+00  1.946878926E+02  1.946878926E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -4.009760153E+02  4.009760153E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.220839364E+01  9.685183578E+00 -1.693379851E+01  1.735360742E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.045586119E+01 -1.381510095E+01  5.119326902E+01  1.793374831E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  3.266425482E+01  4.129917372E+00 -2.405475932E+02  2.427903506E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.41289E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.461029732E+02  2.461029732E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -7.976393741E+02  7.976393741E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  3.380875250E+02  1.926168526E+02 -1.959665945E+02  4.680259957E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -3.287588850E+02 -2.148695485E+02 -3.411313105E+02  5.475973871E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -9.328640094E+00  2.225269589E+01 -1.443849593E+01  2.811896451E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.24650E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.517146825E+02  2.517146825E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -4.165505525E+02  4.165505525E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.220564434E+01 -8.754634025E+01 -1.792912232E+02  2.637115755E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.311062305E+02  1.481950454E+02  6.591887938E+01  2.696978194E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -1.089005861E+02 -6.064870512E+01 -5.146352617E+01  1.348558401E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.17211E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  1.017647392E+03  1.017647392E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   142  0.000000000E+00  0.000000000E+00 -8.671545975E+02  8.671545975E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.851591130E+01  1.233256008E+01  6.283116852E+02  6.515454741E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -3.298235855E+01 -1.712855513E+01  3.566071834E+02  3.972290354E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -1     1     1     2     0   133  5.149826986E+01  4.795995052E+00 -8.344260743E+02  8.360274797E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.53484E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  3.319692894E+02  3.319692894E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.859604779E+02  2.859604779E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.092539314E+01  3.983114000E+01 -1.865096784E+02  2.563839778E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  3.450253664E+01 -4.914033608E+01  2.645637208E+02  3.206870126E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -2.357714350E+01  9.309196076E+00 -3.204523094E+01  4.085877695E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.42656E+02  0.00000E+00  0.00000E+00
      -2    -1     0     0     0   142  0.000000000E+00  0.000000000E+00  2.423563235E+01  2.423563235E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -3.498466782E+03  3.498466782E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.088146275E+02  3.115321079E+01 -1.782361032E+03  1.794119002E+03  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -9.722608334E+00  7.146938745E+01 -1.264156944E+03  1.277707393E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   143   142 -9.909201917E+01 -1.026225982E+02 -4.277131735E+02  4.508760192E+02  0.000000000E+00  0.00000E+00  9.000E+00


      4   1006  1.00000E+00  7.92896E-01  0.00000E+00  0.00000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  1.041503483E+03  1.041503483E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   142  0.000000000E+00  0.000000000E+00 -3.531910571E+01  3.531910571E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.637650490E+01 -3.242101033E+01  7.245733328E+02  7.453635532E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.637650490E+01  3.242101033E+01  2.816110442E+02  3.314590352E+02  1.710000000E+02  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.54620E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00  6.103271590E+02  6.103271590E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -9.571119558E+02  9.571119558E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  3.869622175E+01 -3.087215805E+01  1.066596790E+02  2.075277688E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143  6.052592618E+00  1.788750979E+02  4.120651311E+02  4.806990814E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0 -4.474881437E+01 -1.480029399E+02 -8.655096069E+02  8.792122646E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.02075E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  8.670900182E+01  8.670900182E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -5.379210274E+02  5.379210274E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -8.611654143E+01  5.197357100E+01 -2.726946585E+02  3.372249806E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  6.826518173E+01 -2.760507111E+01 -1.774178677E+02  2.571775160E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  1.785135970E+01 -2.436849989E+01 -1.099499504E+00  3.022753263E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.94027E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  3.764872574E+02  3.764872574E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.040735963E+03  1.040735963E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.265721769E+02  9.327469061E+00 -4.086579551E+02  4.976587961E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.762323405E+02 -2.990130481E+02 -4.294000451E+02  5.780069545E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  5.033983641E+01  2.896855791E+02  1.738092950E+02  3.415574694E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.04367E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  5.176342298E+02  5.176342298E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -8.314264282E+02  8.314264282E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.322244053E+02  6.106569007E+01  4.458027651E+02  4.991927656E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.102542004E+02 -1.630937969E+02 -4.178304789E+02  4.925229785E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  2.197020488E+01  1.020281069E+02 -3.417644846E+02  3.573449138E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  9.13129E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  1.197551510E+03  1.197551510E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.109483679E+02  1.109483679E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -3.132835584E+01 -9.219665393E+01  9.835795846E+01  2.199931291E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  8.839129358E+01  1.634838754E+02  2.909998329E+02  3.853075409E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -5.706293774E+01 -7.128722146E+01  6.972453507E+02  7.031992078E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.84318E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  1.096651510E+03  1.096651510E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -5.553113025E+02  5.553113025E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -9.345427539E+01  2.616281407E+02 -1.013258716E+02  3.416005238E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -4.283054554E+02  1.419140883E+00  2.762342008E+01  4.620082579E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  5.217597308E+02 -2.630472816E+02  6.150426585E+02  8.483540303E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.23622E+02  0.00000E+00  0.00000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  6.788164035E+02  6.788164035E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00 -3.412468657E+02  3.412468657E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.823437091E+02 -8.616976266E+01 -1.315162196E+02  2.953167322E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -1.445099487E+02 -3.152065234E+01 -1.358126433E+01  2.264997297E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0 -3.783376045E+01  1.176904150E+02  4.826670218E+02  4.982468074E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.77399E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00  2.769307991E+02  2.769307991E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -1.640866803E+03  1.640866803E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  9.195437170E+00 -1.604738564E+01  2.320167029E+02  2.888162479E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -5.064347811E+01  3.973622608E+01 -5.059098891E+02  5.378936191E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  4.144804094E+01 -2.368884044E+01 -1.090042818E+03  1.091087735E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.46132E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.580200600E+02  2.580200600E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -3.926635599E+02  3.926635599E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -8.915476027E+01 -1.028265663E+01  1.164830752E+02  2.255296236E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.033202343E+02  1.387225734E+01 -2.878083415E+01  2.023285614E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -1.416547403E+01 -3.589600710E+00 -2.223457410E+02  2.228254349E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.20550E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  1.571517693E+02  1.571517693E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -9.280804623E+02  9.280804623E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  4.712967605E+01 -8.920135099E+01  3.565598750E+01  2.017187072E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -7.474880269E+01  1.209158690E+02 -2.911046600E+02  3.663208347E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  2.761912664E+01 -3.171451802E+01 -5.154800204E+02  5.171926897E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.46661E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.729269263E+02  2.729269263E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.804412789E+03  1.804412789E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  2.179716405E+02  1.161210194E+02 -2.778799394E+02  4.092114220E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.781969081E+02  1.273116029E+02  9.767221661E+01  2.945220606E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0 -3.977473238E+01 -2.434326223E+02 -1.351278140E+03  1.373606233E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  6.68523E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.631184528E+02  2.631184528E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -8.989887721E+02  8.989887721E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.620024021E+02  4.058485398E+01  1.791068448E+02  2.986840647E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.118802403E+02  3.653080042E+00 -7.111391428E+02  7.399259514E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -5.012216171E+01 -4.423793403E+01 -1.038380213E+02  1.234972087E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.48405E+00  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  1.268797914E+02  1.268797914E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -7.403998868E+02  7.403998868E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  8.079910133E+01 -6.687556616E+00  2.843057194E+01  1.913701011E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -8.093390712E+01  3.206120551E+00 -6.444299165E+02  6.716334520E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  1.348057832E-01  3.481436065E+00  2.479249164E+00  4.276125126E+00  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.35129E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00  3.283980426E+02  3.283980426E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -2.519580300E+03  2.519580300E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.872694554E+02 -1.609786015E+02 -6.285583189E+01  3.068807825E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143  1.453728720E+02 -2.582011161E+02  4.520073672E+00  3.421440037E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0 -3.326423274E+02  4.191797176E+02 -2.132846499E+03  2.198953556E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.35899E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  3.042164007E+02  3.042164007E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -4.247952469E+02  4.247952469E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.604638830E+01  5.420930482E+01  1.311681382E+02  2.228053316E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -2.050152354E+00 -3.907661948E+01  6.611833915E+01  1.874668506E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134  1.809654065E+01 -1.513268534E+01 -3.178653235E+02  3.187394654E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.19947E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00  9.908190229E+01  9.908190229E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -1.774941735E+03  1.774941735E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  2.561796632E+01 -1.901517739E+01  2.070583428E+00  1.739630549E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -3.551458569E+01  4.944082027E+01 -7.526735737E+02  7.742507275E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  9.896619373E+00 -3.042564289E+01 -9.252568419E+02  9.258098543E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.38475E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  4.444123297E+02  4.444123297E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   142  0.000000000E+00  0.000000000E+00 -5.299953350E+02  5.299953350E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.380943128E+02  5.180324871E+01 -1.819773455E+01  2.265519219E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  6.629385063E+01 -2.792129141E+02  2.001759070E+02  3.894433461E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -1     1     1     2     0   133  7.180046214E+01  2.274096654E+02 -2.675611777E+02  3.584123967E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.11150E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00  1.087128140E+02  1.087128140E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -2.691927278E+03  2.691927278E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.570736918E+02 -4.103737749E+01 -2.322703158E+02  3.309784141E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -1.407995372E+02  1.309577463E+02 -2.999631081E+02  3.952129896E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  2.978732290E+02 -8.992036879E+01 -2.050981040E+03  2.074448688E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.91798E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  8.071329336E+01  8.071329336E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -6.064686626E+02  6.064686626E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.066606082E+02 -1.732493340E+01 -2.783299573E+02  3.440715097E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -9.880032539E+01 -1.702341473E-01 -1.616363927E+02  2.552035594E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -7.860282850E+00  1.749516755E+01 -8.578901923E+01  8.790688684E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.27271E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  8.335799638E+02  8.335799638E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.389797347E+02  2.389797347E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  4.316824843E+01  1.277220245E+01 -5.908406399E+01  1.864364595E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.352191977E+02 -1.006614812E+02  2.130508205E+01  2.410640408E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  9.205094927E+01  8.788927878E+01  6.323792110E+02  6.450591982E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.46118E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  8.890894082E+02  8.890894082E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.774297415E+02  1.774297415E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -3.697523633E+01 -7.075157446E+01  6.612220500E+02  6.876252997E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.215355001E+02 -4.841264051E+01 -2.085436462E+01  2.163112712E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -8.456026375E+01  1.191642150E+02  7.129198137E+01  1.625825788E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.93340E+00  0.00000E+00  0.00000E+00
      -2    -1     0     0     0   142  0.000000000E+00  0.000000000E+00  2.120587277E+01  2.120587277E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.766597456E+03  1.766597456E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -5.052474584E+01 -2.773901297E+01 -7.421886499E+02  7.638109680E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  5.125738131E+01  3.057944564E+01 -7.792895240E+02  8.000597377E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -7.326354699E-01 -2.840432669E+00 -2.239134091E+02  2.239326229E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.71985E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.521489766E+02  1.521489766E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -8.608151945E+02  8.608151945E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  3.293802189E+01 -1.080348113E+02 -2.147196908E+02  2.968197759E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.191805204E+02  2.568338295E+02 -2.368436228E+02  4.068212312E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  8.624249853E+01 -1.487990182E+02 -2.571029043E+02  3.093231640E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.01492E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  5.601461373E+02  5.601461373E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.363605675E+02  1.363605675E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  2.978846251E+01  4.943488701E+01  9.497246402E+00  1.807273035E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -7.694655672E+00 -2.892050887E+01  1.005915474E+02  2.006371425E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -2.209380684E+01 -2.051437814E+01  3.136967760E+02  3.151422588E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.72911E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.446307390E+01  2.446307390E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.859440775E+03  2.859440775E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -4.912206285E+01  8.675405747E+01 -1.827892733E+03  1.838578822E+03  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  7.531004285E+01 -9.443479491E+01 -5.673673530E+02  6.047613134E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -2.618798000E+01  7.680737443E+00 -4.397176153E+02  4.405637131E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.75696E+02  0.00000E+00  0.00000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  3.865647016E+03  3.865647016E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00 -1.162632138E+02  1.162632138E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.134866225E+02  1.313740833E+01  1.198311560E+02  2.989140937E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143  7.300353033E+01  9.237887952E+01  4.187763101E+02  4.674162714E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  1.404830921E+02 -1.055162878E+02  3.210776336E+03  3.215579864E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.38600E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  7.166531808E+02  7.166531808E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -4.709617128E+02  4.709617128E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.158233895E+02 -3.224676184E+02  1.529249941E+02  4.123438811E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.354999833E+01  4.160103210E+02  2.891670556E+02  5.348894985E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0 -1.022733912E+02 -9.354270260E+01 -1.964005817E+02  2.403815140E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.68911E+01  0.00000E+00  0.00000E+00
      -1    -1     0     0     0   142  0.000000000E+00  0.000000000E+00  1.088543179E+03  1.088543179E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00 -2.929756107E+02  2.929756107E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.181909700E+01 -3.071162941E+01 -1.975572871E+02  2.639870430E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143  3.414926819E+01  4.225622870E+01  6.741901682E+01  1.916718164E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -1     1     1     2     0   132 -1.233017119E+01 -1.154459929E+01  9.257058389E+02  9.258599306E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.36498E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.175093309E+03  2.175093309E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -1.048946204E+03  1.048946204E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.763984906E+02 -1.991882255E+02  3.801622495E+02  4.945267562E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  4.387822955E+01  2.319003951E+02  1.720739488E+03  1.745247397E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134  1.325202610E+02 -3.271216961E+01 -9.747546325E+02  9.842653601E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.78184E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  9.462410052E+02  9.462410052E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -1.695006636E+02  1.695006636E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  8.864886798E+01 -7.220482698E+01  7.883595303E-01  2.057031364E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -9.121617874E+01  5.457236832E+01  8.295090194E+02  8.535951897E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  2.567310756E+00  1.763245866E+01 -5.355703732E+01  5.644334265E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.14680E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.455492516E+03  1.455492516E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -9.882490952E+01  9.882490952E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.595863933E+02  1.401594709E+02  2.131230360E+02  3.460851379E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -6.012513014E+01 -1.972473354E+02  9.002963065E+02  9.393061174E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -9.946126312E+01  5.708786460E+01  2.432482640E+02  2.689261703E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.34981E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.442267424E+02  2.442267424E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -3.296308526E+02  3.296308526E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.054914963E+02  2.451234499E+01  1.392999891E+02  2.457128361E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.094051460E+02 -1.342418387E+00 -2.270002255E+02  3.045347114E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -3.913649778E+00 -2.316992660E+01  2.296126169E+00  2.361004762E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.50232E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  4.476493828E+02  4.476493828E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.750300338E+02  2.750300338E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.777520318E+01 -9.623948879E+01 -1.874724149E+02  2.719648937E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  6.600446793E+01  2.621895750E+01  2.294628136E+02  2.948528554E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -4.822926474E+01  7.002053129E+01  1.306289502E+02  1.558616675E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  7.23942E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  4.874982133E+02  4.874982133E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -7.696888963E+02  7.696888963E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  2.359821336E+02 -7.822392911E+01  3.659420778E+02  4.743007007E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.675120125E+02  1.017347416E+02 -1.977849579E+02  3.267569763E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -6.847012108E+01 -2.351081250E+01 -4.503478028E+02  4.561294326E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  6.31420E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.212225384E+02  2.212225384E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -1.094921710E+03  1.094921710E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.523979921E+01  4.130924697E+02 -2.895149371E+02  5.328578974E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  4.394792332E+01 -3.910986206E+02 -3.927479658E+02  5.817056951E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -5.918772253E+01 -2.199384912E+01 -1.914362685E+02  2.015806558E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.09886E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.868323300E+02  1.868323300E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -8.034677205E+02  8.034677205E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.328054495E+00 -9.503895986E+01 -5.465666991E+02  5.805290521E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  7.441131973E+01  1.779776604E+02 -1.254808611E+02  2.867046191E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -7.208326523E+01 -8.293870054E+01  5.541216970E+01  1.230663793E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.81766E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  4.100581879E+02  4.100581879E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -2.312623062E+02  2.312623062E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.034561026E+02  8.314823999E+01  2.849988041E+02  3.578856148E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.209565067E+02 -1.052312450E+02 -9.127058394E+01  2.515460414E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -1.750040403E+01  2.208300500E+01 -1.493233851E+01  3.188883793E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.03146E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.868611303E+02  1.868611303E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -4.921900233E+02  4.921900233E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.173404984E+02 -5.810157337E+01 -3.486073823E+02  4.097715124E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  8.254324542E+01  3.774437600E+01  8.484786762E+01  2.113721503E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  3.479725294E+01  2.035719737E+01 -4.156937827E+01  5.790749094E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  6.98180E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  4.098825403E+01  4.098825403E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -2.413001904E+03  2.413001904E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.415327704E+02  2.065253743E+01 -1.136335560E+03  1.157997218E+03  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.169666054E+02 -8.600581827E+01 -1.193556120E+03  1.214452716E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  2.456616495E+01  6.535328084E+01 -4.212197011E+01  8.154022408E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.94158E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.170878108E+03  1.170878108E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -6.194361829E+01  6.194361829E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.371266931E+02 -1.451391067E+01  4.608883647E+02  5.105619143E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.695622894E+02  3.690893623E+01  6.359665304E+02  6.810345567E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  3.243559631E+01 -2.239502556E+01  1.207959459E+01  4.122525540E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.65374E+00  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.659921470E+02  1.659921470E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -3.059959478E+02  3.059959478E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  5.860498645E+00  5.314830479E+01  2.920608870E+01  1.815298415E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -3.094988250E+00 -5.076046272E+01 -7.073105393E+01  1.919116607E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -2.765510395E+00 -2.387842067E+00 -9.847883564E+01  9.854659257E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.32792E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  5.741493265E+02  5.741493265E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -2.275405703E+02  2.275405703E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.172932072E+02 -2.619037588E+02  9.152439720E+01  3.463654004E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -8.441911683E+01  2.670803055E+02  1.825771050E+02  3.755447725E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -3.287409032E+01 -5.176546740E+00  7.250725403E+01  7.977972385E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.65090E+01  0.00000E+00  0.00000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  1.846030422E+02  1.846030422E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00 -1.096605985E+03  1.096605985E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.722311776E+02 -6.966543103E+01 -5.619421378E+02  6.160655948E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -1.785176489E+02  8.493065734E+01 -4.733657123E+02  5.407382593E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  6.286471344E+00 -1.526522631E+01  1.233049075E+02  1.244051730E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.14335E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  1.225605423E+02  1.225605423E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -5.250148242E+02  5.250148242E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  6.507544178E+01  3.978701500E+00 -3.067418204E+02  3.571864885E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.524729452E+01 -1.672848931E+01 -1.402799161E+02  2.223325824E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -4.982814726E+01  1.274978781E+01  4.456745468E+01  6.805629555E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.04362E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  4.651451589E+02  4.651451589E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -1.476758672E+02  1.476758672E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -3.185757817E+01  8.604034121E-01  8.054334233E+01  1.916869207E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -6.816655022E+01 -3.063625457E+01  2.542050454E+02  3.153513339E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  1.000241284E+02  2.977585115E+01 -1.727909606E+01  1.057827714E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  7.61746E+00  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  1.057201658E+02  1.057201658E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -4.254752226E+02  4.254752226E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  4.556336913E+01 -5.703566582E+01 -1.835947324E+02  2.612988970E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -4.217153214E+01  5.021503010E+01 -1.610413049E+02  2.438755610E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -3.391836990E+00  6.820635719E+00  2.488098055E+01  2.602093048E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.07334E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  5.686792761E+02  5.686792761E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -2.664496534E+02  2.664496534E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.838688268E+01 -2.289245370E+02  3.221654210E+02  4.310174933E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  5.903257005E+01  2.315960516E+02  7.285710497E+01  3.027717510E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -4.064568738E+01 -2.671514587E+00 -9.279290328E+01  1.013396852E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.11375E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  3.881939035E+02  3.881939035E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -3.398844259E+02  3.398844259E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.590893291E+02 -9.415122571E+01  2.699579673E+02  3.691776971E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.558500838E+02  7.326337355E+01 -2.316656150E+02  3.355096537E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  3.239245238E+00  2.088785216E+01  1.001712539E+01  2.339097857E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.40875E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.599803705E+03  1.599803705E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -9.013032819E+01  9.013032819E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  9.977229570E+01 -2.141405753E+01  7.871135678E+01  2.141250815E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -2.773643680E+01 -2.196274939E+01  3.457539719E+02  3.873480107E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -7.203585889E+01  4.337680693E+01  1.085208049E+03  1.088460941E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.29649E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  7.215354824E+02  7.215354824E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -4.073677535E+02  4.073677535E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.651951621E+02  2.685720526E+02 -7.597595630E+01  3.666520626E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.325186205E+02 -2.729229513E+02  5.213468059E+02  6.269701860E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  3.267654160E+01  4.350898645E+00 -1.312031206E+02  1.352809874E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.03143E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.804360909E+02  2.804360909E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -5.333558005E+02  5.333558005E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.126526448E+02  4.772020162E+01  1.826098862E+02  2.784873544E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  3.311688448E+01 -1.133903963E+02 -2.807790493E+02  3.493307667E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  7.953576035E+01  6.567019467E+01 -1.547505464E+02  1.859737703E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.02206E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  7.033002228E+02  7.033002228E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -1.192520715E+02  1.192520715E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  3.152880538E+01  7.873179542E+01  4.525911874E+01  1.961686749E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -3.709252992E+01 -9.817194883E+01  1.878084189E+02  2.748210136E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134  5.563724541E+00  1.944015341E+01  3.509806136E+02  3.515626057E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.32941E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  1.832950227E+03  1.832950227E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -6.543062127E+02  6.543062127E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.519259204E+01 -3.541658630E+01  1.606471066E+03  1.616006013E+03  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  2.735273377E+01  3.004411063E+01  1.867951878E+02  2.564844300E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134 -1.216014173E+01  5.372475678E+00 -6.146222397E+02  6.147659962E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  6.41089E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  1.031023484E+02  1.031023484E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.491621117E+03  1.491621117E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.064492484E+02  1.298719177E+01 -5.141106771E+02  5.523141298E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.250194386E+02 -7.434757634E+01 -9.305167779E+02  9.572146552E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -1.857019018E+01  6.136038457E+01  5.610868682E+01  8.519467997E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.78100E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  4.858360191E+02  4.858360191E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -3.897470652E+02  3.897470652E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -7.951984795E+01 -1.078428881E+02  3.987433284E+02  4.540823016E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  6.636414236E+01  6.187848116E+01 -1.092673083E+02  2.222914539E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134  1.315570560E+01  4.596440696E+01 -1.933870661E+02  1.992093287E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.88354E+01  0.00000E+00  0.00000E+00
       1    -1     0     0   133     0  0.000000000E+00  0.000000000E+00  1.942544926E+03  1.942544926E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -4.084030122E+01  4.084030122E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.376768048E+02  1.121409563E+02  7.322463456E+02  7.726294113E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.499235442E+02 -1.489947502E+02  9.613610502E+02  9.990658504E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  1.224673937E+01  3.685379383E+01  2.080972286E+02  2.116899651E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.87131E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  3.332286467E+02  3.332286467E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -8.588488877E+02  8.588488877E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -3.042141403E+02 -2.262541662E+01 -4.661025149E+02  5.827097966E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.721141758E+01  3.119427050E+01 -2.196240911E+02  2.806154963E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   135   134  2.870027227E+02 -8.568853883E+00  1.601063651E+02  3.287522414E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.80491E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  5.983412646E+01  5.983412646E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -3.111390710E+03  3.111390710E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  2.088878241E+02 -9.615761258E+01 -7.114533111E+02  7.669988419E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.814045095E+02  2.745442766E+02 -1.541225110E+03  1.585212288E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -2.748331453E+01 -1.783866640E+02 -7.988781620E+02  8.190137070E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.94120E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  3.459748428E+02  3.459748428E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -2.557070006E+02  2.557070006E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.119822184E+02 -7.485382444E+01  1.641453911E+02  2.726312926E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  7.200246345E+01  1.038910697E+02 -1.339102399E+02  2.512979535E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  3.997975494E+01 -2.903724521E+01  6.003269100E+01  7.775259741E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.65839E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.659525455E+02  1.659525455E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.607736986E+02  2.607736986E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -6.903500914E+01  1.284810016E+01  2.127405291E+01  1.860765743E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  4.543040242E+01 -6.199723981E-01 -7.605218793E+01  1.925856722E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  2.360460673E+01 -1.222812776E+01 -4.004301808E+01  4.806399759E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.55363E+00  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  3.813159702E+01  3.813159702E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.025153045E+03  1.025153045E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.094874177E+01  8.662363099E+01 -4.172806426E+02  4.593339341E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -9.499659014E+00 -9.198487702E+01 -5.593377160E+02  5.921580378E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -1.449082752E+00  5.361246030E+00 -1.040308943E+01  1.179267016E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.49967E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  9.487499775E+02  9.487499775E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.258117150E+03  1.258117150E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -4.163331483E+02 -4.895574577E+02 -8.946945250E+01  6.710034110E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  1.670017387E+02  2.439749975E+02  5.741813791E+02  6.680858000E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  2.493314095E+02  2.455824602E+02 -7.940790988E+02  8.677779161E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.65290E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  2.019003413E+02  2.019003413E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.220385709E+03  1.220385709E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -4.021982662E+01  1.474671139E+02 -3.103007419E+02  3.858649175E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  5.715102306E-02 -7.082362771E+01  1.089138255E+02  2.147538379E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  4.016267560E+01 -7.664348621E+01 -8.170984511E+02  8.216672948E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  7.79406E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  3.436162169E+02  3.436162169E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -1.642632380E+03  1.642632380E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.002185694E+02 -7.480168790E+01 -3.125737840E+02  4.154830183E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.366252482E+02  1.198641888E+02  2.374068351E+02  3.444370589E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  6.359332118E+01 -4.506250086E+01 -1.223849214E+03  1.226328520E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.62473E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  7.988680738E+02  7.988680738E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00 -2.110779598E+02  2.110779598E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  9.611074159E+01 -1.138288098E+02  4.667484742E+02  5.189310270E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -5.519141620E+01  9.227832233E+01  2.687717351E+02  3.362151496E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -4.091932539E+01  2.155048746E+01 -1.477300953E+02  1.547998571E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.85009E+01  0.00000E+00  0.00000E+00
       2    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  1.079338208E+02  1.079338208E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00 -6.849029606E+02  6.849029606E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.175414183E+01  1.361903616E+02 -2.634604950E+02  3.430356975E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -3.418167873E+01 -1.190574361E+02 -3.274845514E+02  3.896539383E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  5.593582056E+01 -1.713292554E+01  1.397590661E+01  6.014714561E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.62712E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  4.884013552E+02  4.884013552E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.845556023E+02  1.845556023E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.931792732E+01 -2.343428263E+02  1.011035025E+02  3.078192014E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -2.042702765E+01  2.181095041E+02  1.629640482E+02  3.221603642E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  1.109100339E+00  1.623332220E+01  3.977820214E+01  4.297739195E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.97115E+00  0.00000E+00  0.00000E+00
      -1    -1     0     0     0   142  0.000000000E+00  0.000000000E+00  5.131787635E+02  5.131787635E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -1.657732732E+02  1.657732732E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -3.992313962E+01 -9.090329019E+00  1.327820364E+02  2.203373785E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  4.884545631E+01  8.155516207E+00 -5.693425663E+01  1.869088030E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -1     1     1     2     0   133 -8.922316696E+00  9.348128118E-01  2.715577106E+02  2.717058553E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.05142E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.217567752E+03  1.217567752E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -9.313838213E+01  9.313838213E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  7.654311779E+01 -1.651300799E+02  3.615690612E+02  4.394314260E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -8.330283990E+01 -3.990012366E+01  2.350068785E+02  3.049600235E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  6.759722113E+00  2.050302035E+02  5.278534301E+02  5.663146845E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  7.98150E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  1.585064000E+02  1.585064000E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.987226256E+03  1.987226256E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  2.550072110E+01 -6.510693583E+01 -3.243774125E+02  3.732973421E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -1.044708049E+02  7.668980749E+01  4.649858204E+01  2.195417814E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  7.897008382E+01 -1.158287166E+01 -1.550841025E+03  1.552893533E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.27133E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.189409655E+03  1.189409655E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -3.699732976E+01  3.699732976E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -6.069380270E+01 -2.186485741E+01  3.004035963E+02  3.516320952E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  6.387210024E+01  9.555280514E+00  7.488673231E+02  7.708529148E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -3.178297545E+00  1.230957690E+01  1.031414059E+02  1.039219749E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.75886E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  5.510757536E+01  5.510757536E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.068341381E+03  1.068341381E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -6.406797180E+01 -3.986220068E+01 -3.958910654E+02  4.377949700E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  5.559091318E+01  5.527316676E+01 -6.340672872E+02  6.613832454E+02  1.710000000E+02  0.00000E+00  9.000E+00
       2     1     1     2   142     0  8.477058624E+00 -1.541096608E+01  1.672454696E+01  2.427074102E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.03192E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.948256065E+02  2.948256065E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.978371345E+02  2.978371345E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  8.935751364E+01  9.382107844E+00 -1.376467026E+02  2.371927569E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -6.653314997E+01  1.057547955E+01  2.071147985E+02  2.769043889E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -2.282436367E+01 -1.995758739E+01 -7.247962388E+01  7.856559520E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.19214E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  9.728301772E+01  9.728301772E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -1.007536366E+03  1.007536366E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -3.439460174E+01 -4.945565682E+01 -1.686764153E+02  2.476319521E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142  3.131020330E+01  1.686292515E+02 -2.375168389E+02  3.392217594E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  3.084398441E+00 -1.191735947E+02 -5.040600941E+02  5.179656723E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.54608E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.354828753E+03  2.354828753E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -7.875097087E+01  7.875097087E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.272625960E+02  7.898104058E+00  1.283319212E+02  2.489341889E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -8.609179480E+01  2.926194553E+01  2.106860218E+03  2.115743141E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -4.117080124E+01 -3.716004959E+01  4.088564288E+01  6.890239440E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.55177E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.458053354E+02  1.458053354E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -4.968498212E+02  4.968498212E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  6.893809408E+00  4.897900300E+01 -3.229044269E+02  3.687204039E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  5.323807090E+01  1.182755288E+01 -4.870969056E+01  1.859780018E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -6.013188031E+01 -6.080655588E+01  2.056963177E+01  8.795675084E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  9.33054E+00  0.00000E+00  0.00000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  1.935124770E+03  1.935124770E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   142  0.000000000E+00  0.000000000E+00 -2.297374663E+01  2.297374663E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -2.838762857E+01  5.267721844E+01  5.019891764E+02  5.336805037E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143  1.915854893E+01 -5.404947187E+01  1.395030120E+03  1.406640832E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   143   142  9.229079644E+00  1.372253434E+00  1.513172709E+01  1.777718075E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.29021E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  7.619938539E+02  7.619938539E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.070838882E+03  1.070838882E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.184831766E+02  1.164120326E+02  4.570915872E+02  5.155227866E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  1.409067557E+02 -1.210690068E+02  2.177121196E+02  3.333946389E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -2.242357910E+01  4.656974233E+00 -9.836487353E+02  9.839153108E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  8.27622E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.503737580E+03  1.503737580E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -7.113720250E+01  7.113720250E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -6.148656430E+00 -8.336924965E+01  1.016070750E+02  2.157619880E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  7.243598776E+01  3.381549871E+01  1.018572561E+03  1.035915789E+03  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -6.628733133E+01  4.955375094E+01  3.124207416E+02  3.231970054E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.23601E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  8.165661040E+02  8.165661040E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -5.054537626E+02  5.054537626E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  9.160490677E+01 -4.784119362E+01 -4.417149084E+01  2.046273671E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  3.192287966E+01  4.359537477E+01 -3.543124410E+02  3.971119902E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132 -1.235277864E+02  4.245818850E+00  7.095962733E+02  7.202805093E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  5.55482E+00  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  8.260273968E+01  8.260273968E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -4.857651794E+02  4.857651794E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  4.139346445E+01 -5.750388787E+01 -1.099384392E+02  2.152848728E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -3.604784529E+01  5.599379761E+01 -2.533776980E+02  3.128514190E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133 -5.345619161E+00  1.510090261E+00 -3.984630243E+01  4.023162729E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.64643E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00  9.622147207E+02  9.622147207E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00 -8.529361242E+02  8.529361242E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.183664054E+02 -1.124222852E+02  4.167971045E+02  4.791765880E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -1.437493824E+02  1.199098935E+02  4.827405835E+02  5.452721691E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  2.538297694E+01 -7.487608348E+00 -7.902590915E+02  7.907020877E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  2.04011E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.208605365E+02  2.208605365E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -8.274279329E+02  8.274279329E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -1.984527244E+02  1.400451004E+02  9.775663803E+00  2.972081385E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -5.552448954E+00 -1.384702192E+02 -2.617982823E+02  3.420294899E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  2.040051734E+02 -1.574881195E+00 -3.545447779E+02  4.090508410E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.34105E+02  0.00000E+00  0.00000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00  6.151165292E+02  6.151165292E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -7.090098721E+02  7.090098721E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.393577983E+02 -1.724476864E+02  2.115638922E+02  3.509402812E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -2.705908781E+02  1.448413862E+02 -5.740174470E+02  6.730048142E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  1.312330797E+02  2.760630016E+01  2.685602118E+02  3.001813059E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.16304E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  1.603006242E+02  1.603006242E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -5.975122871E+02  5.975122871E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0 -8.777271641E+01  1.165394238E+02 -4.623363096E+02  5.140830188E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135  8.463316535E+01 -1.053408341E+02  2.124440009E+00  2.179563655E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  3.139551057E+00 -1.119858970E+01  2.300020664E+01  2.577352707E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.89076E+01  0.00000E+00  0.00000E+00
      -3    -1     0     0     0   142  0.000000000E+00  0.000000000E+00  1.649284041E+02  1.649284041E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   133     0  0.000000000E+00  0.000000000E+00 -4.090288213E+02  4.090288213E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  5.272087959E+01 -9.989857095E+01 -1.196017651E+02  2.372863204E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -7.141312707E+01  1.340218788E+02 -2.527327427E+01  2.300900630E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  1.869224748E+01 -3.412330786E+01 -9.922537787E+01  1.065808419E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  4.99895E+01  0.00000E+00  0.00000E+00
       1    -1     0     0   132     0  0.000000000E+00  0.000000000E+00  1.348001808E+03  1.348001808E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   142   143  0.000000000E+00  0.000000000E+00 -2.246683405E+02  2.246683405E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  6.985672800E+01 -4.044129663E+01 -7.532320507E+01  2.035437205E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   143 -1.190691131E+02  4.922151147E+01  5.062813913E+01  2.200100438E+02  1.710000000E+02  0.00000E+00  9.000E+00
       1     1     1     2   142     0  4.921238513E+01 -8.780214835E+00  1.148028533E+03  1.149116384E+03  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.29016E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   133   134  0.000000000E+00  0.000000000E+00  1.744779101E+02  1.744779101E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00 -1.013484580E+03  1.013484580E+03  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  8.338806116E+01  1.843751151E+02 -1.729797487E+02  3.164028212E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -9.323507655E+01 -2.157686340E+02 -7.375885760E+02  7.927968153E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  9.847015388E+00  3.139351889E+01  7.156165458E+01  7.876285385E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  6.05346E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.977159935E+02  2.977159935E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -2.715145965E+02  2.715145965E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  8.111268631E+01 -9.658722517E+01 -7.114617623E+01  2.240784201E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.298412468E+02  1.325033574E+02  1.214290855E+02  2.800034141E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  4.872856046E+01 -3.591613220E+01 -2.408151225E+01  6.514875585E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  1.82989E+00  0.00000E+00  0.00000E+00
       2    -1     0     0   133     0  0.000000000E+00  0.000000000E+00  1.258544828E+03  1.258544828E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   142  0.000000000E+00  0.000000000E+00 -3.260468596E+01  3.260468596E+01  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  9.259376250E+01  2.321880847E+01  4.617504519E+02  5.015647493E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   142 -9.404940295E+01 -2.210993165E+01  7.505312565E+02  7.758042963E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   133   132  1.455640454E+00 -1.108876822E+00  1.365843395E+01  1.378046861E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5   1006  1.00000E+00  3.01969E+01  0.00000E+00  0.00000E+00
      21    -1     0     0   134   135  0.000000000E+00  0.000000000E+00  2.809997865E+02  2.809997865E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   132   133  0.000000000E+00  0.000000000E+00 -3.286596627E+02  3.286596627E+02  0.000000000E+00  0.00000E+00  9.000E+00
       6     1     1     2   132     0  1.212346839E+02  5.299358720E+01 -1.840791451E+02  2.839582725E+02  1.710000000E+02  0.00000E+00  9.000E+00
      -6     1     1     2     0   135 -1.443546756E+02 -3.356891035E+01  1.681313186E+02  2.819118380E+02  1.710000000E+02  0.00000E+00  9.000E+00
      21     1     1     2   134   133  2.311999174E+01 -1.942467684E+01 -3.171204968E+01  4.378933869E+01  0.000000000E+00  0.00000E+00  9.000E+00


pythia8-8.1.86.orig/examples/main07.cc0000644000175000017500000000675412357054675015611 0ustar  sunsun// main07.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Illustration how to generate various two-body channels from
// astroparticle processes, e.g. neutralino annihilation or decay.
// To this end a "blob" of energy is created with unit cross section,
// from the fictitious collision of two non-radiating incoming e+e-.
// In the accompanying main29.cmnd file the decay channels of this
// blob can be set up. Furthermore, only gamma, e+-, p/pbar and
// neutrinos are stable, everything else is set to decay.
// (The "single-particle gun" of main21.cc offers another possible
// approach to the same problem.)

#include "Pythia8/Pythia.h"

using namespace Pythia8;
 
//==========================================================================

// A derived class for (e+ e- ->) GenericResonance -> various final states.

class Sigma1GenRes : public Sigma1Process {

public:

  // Constructor.
  Sigma1GenRes() {}

  // Evaluate sigmaHat(sHat): dummy unit cross section.
  virtual double sigmaHat() {return 1.;}

  // Select flavour. No colour or anticolour.
  virtual void setIdColAcol() {setId( -11, 11, 999999);
    setColAcol( 0, 0, 0, 0, 0, 0);}

  // Info on the subprocess.
  virtual string name()    const {return "GenericResonance";}
  virtual int    code()    const {return 9001;}
  virtual string inFlux()  const {return "ffbarSame";}

};

//==========================================================================

int main() {

  // Pythia generator.
  Pythia pythia;

  // A class to generate the fictitious resonance initial state.
  SigmaProcess* sigma1GenRes = new Sigma1GenRes();

  // Hand pointer to Pythia.
  pythia.setSigmaPtr( sigma1GenRes);

  // Read in the rest of the settings and data from a separate file.
  pythia.readFile("main07.cmnd");

  // Initialization.
  pythia.init();

  // Extract settings to be used in the main program.
  int nEvent  = pythia.mode("Main:numberOfEvents");
  int nAbort  = pythia.mode("Main:timesAllowErrors");

  // Histogram particle spectra.
  Hist eGamma("energy spectrum of photons",        100, 0., 250.);
  Hist eE(    "energy spectrum of e+ and e-",      100, 0., 250.);
  Hist eP(    "energy spectrum of p and pbar",     100, 0., 250.);
  Hist eNu(   "energy spectrum of neutrinos",      100, 0., 250.);
  Hist eRest( "energy spectrum of rest particles", 100, 0., 250.);

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Loop over all particles and analyze the final-state ones.
    for (int i = 0; i < pythia.event.size(); ++i)
    if (pythia.event[i].isFinal()) {
      int idAbs = pythia.event[i].idAbs();
      double eI = pythia.event[i].e();
      if (idAbs == 22) eGamma.fill(eI);
      else if (idAbs == 11) eE.fill(eI);
      else if (idAbs == 2212) eP.fill(eI);
      else if (idAbs == 12 || idAbs == 14 || idAbs == 16) eNu.fill(eI);
      else {
        eRest.fill(eI);
        cout << " Error: stable id = " << pythia.event[i].id() << endl;
      }
    }

  // End of event loop.
  }

  // Final statistics and histograms.
  pythia.stat();
  cout << eGamma << eE << eP << eNu << eRest;

  // Done.
  delete sigma1GenRes;
  return 0;
}
pythia8-8.1.86.orig/examples/main14.cc0000644000175000017500000001666012357054676015605 0ustar  sunsun// main14.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Comparison with some PYTHIA 6.413 cross sections process by process.
// Several processes have been left out to keep reasonable execution time.
// Some processes are not handled absolutely identically, so minor
// systematic differences may occur in addition to the statistical ones.
// (For some MSSM Higgs processes 6.413 has been modified to use
// running quark masses in loops, like 8.1, to allow proper comparison.)
// Subruns  0 -  5 : QCD jets
//          6 - 10 : prompt photons.
//         11 - 12 : t-channel gamma/Z/W exchange.
//         13 - 23 : gamma*/Z^0/W^+-, singly, in pairs or with parton
//         24 - 25 : onia.
//         26 - 30 : top.
//         31 - 40 : Standard Model Higgs.
//         41 - 45 : MSSM Higgses (trivial couplings).
//         46 - 47 : Z' and W'
//         48 - 51 : Left-right-symmetric scenario.
//         52 - 52 : Leptoquark.
//         53 - 55 : Excited fermions (compositeness).
//         56 - 56 : excited Graviton (RS extra dimensions).

#include "Pythia8/Pythia.h"

using namespace Pythia8;
 
int main() {

  // First and last process to test: can run from 0 through 40.
  int iFirst = 0;
  int iLast  = 56;

  // Statistics. Pythia6 run was with 10000, so no point to use more.
  int nEvent = 10000;

  // Normally one subprocess word per subrun, but exceptions exist.
  int nSub[100];
  for (int i = 0; i < 100; ++i) nSub[i] = 1;
  nSub[1] = 3;
  nSub[5] = 3;
  // Starting positions in subprocess words list, recursively defined.
  int iBeg[101] = { 0 };
  for (int i = 0; i < 100; ++i) iBeg[i + 1] = iBeg[i] + nSub[i];
  // List of subprocess words.
  string processes[61] = { "HardQCD:gg2gg", "HardQCD:gg2qqbar",
    "HardQCD:gg2ccbar",  "HardQCD:gg2bbbar","HardQCD:qg2qg" ,
    "HardQCD:qq2qq", "HardQCD:qqbar2gg", "HardQCD:qqbar2qqbarNew",
    "HardQCD:qqbar2ccbar", "HardQCD:qqbar2bbbar", "PromptPhoton:qg2qgamma",
    "PromptPhoton:qqbar2ggamma", "PromptPhoton:gg2ggamma",
    "PromptPhoton:ffbar2gammagamma", "PromptPhoton:gg2gammagamma",
    "WeakBosonExchange:ff2ff(t:gmZ)", "WeakBosonExchange:ff2ff(t:W)",
    "WeakSingleBoson:ffbar2gmZ", "WeakSingleBoson:ffbar2W",
    "WeakDoubleBoson:ffbar2gmZgmZ", "WeakDoubleBoson:ffbar2ZW",
    "WeakDoubleBoson:ffbar2WW", "WeakBosonAndParton:qqbar2gmZg",
    "WeakBosonAndParton:qg2gmZq", "WeakBosonAndParton:ffbar2gmZgm",
    "WeakBosonAndParton:qqbar2Wg", "WeakBosonAndParton:qg2Wq",
    "WeakBosonAndParton:ffbar2Wgm", "Charmonium:all", "Bottomonium:all",
    "Top:gg2ttbar",  "Top:qqbar2ttbar",  "Top:qq2tq(t:W)",
    "Top:ffbar2ttbar(s:gmZ)", "Top:ffbar2tqbar(s:W)",
    "HiggsSM:ffbar2H", "HiggsSM:gg2H", "HiggsSM:ffbar2HZ",
    "HiggsSM:ffbar2HW", "HiggsSM:ff2Hff(t:ZZ)", "HiggsSM:ff2Hff(t:WW)",
    "HiggsSM:qg2Hq", "HiggsSM:gg2Hg(l:t)", "HiggsSM:qg2Hq(l:t)",
    "HiggsSM:qqbar2Hg(l:t)", "HiggsBSM:allH1", "HiggsBSM:allH2",
    "HiggsBSM:allA3", "HiggsBSM:allH+-", "HiggsBSM:allHpair",
    "NewGaugeBoson:ffbar2gmZZprime", "NewGaugeBoson:ffbar2Wprime",
    "LeftRightSymmmetry:ffbar2ZR", "LeftRightSymmmetry:ffbar2WR",
    "LeftRightSymmmetry:ffbar2HLHL", "LeftRightSymmmetry:ffbar2HRHR",
    "LeptoQuark:all", "ExcitedFermion:dg2dStar",
    "ExcitedFermion:qq2dStarq", "ExcitedFermion:qqbar2eStare",
    "ExtraDimensionsG*:all" };

  // List of cross sections from Pythia6.
  double sigma6[57] = {   4.960e-01, 1.627e-02, 2.790e-01, 2.800e-02,
    3.310e-04, 3.653e-04, 1.697e-04, 1.163e-05, 1.065e-07, 8.259e-08,
    8.237e-08, 2.544e-05, 5.321e-06, 5.571e-05, 1.621e-04, 9.039e-09,
    2.247e-08, 5.893e-08, 3.781e-06, 1.078e-05, 4.551e-08, 1.025e-05,
    3.208e-05, 5.435e-08, 1.038e-04, 3.929e-05, 4.155e-07, 6.685e-08,
    1.898e-07, 4.240e-10, 7.142e-09, 1.547e-10, 7.064e-09, 1.316e-10,
    2.332e-10, 5.105e-10, 1.316e-09, 4.462e-11, 5.557e-09, 1.966e-09,
    8.725e-12, 2.450e-08, 5.839e-09, 1.687e-08, 8.950e-11, 4.188e-11,
    1.980e-07, 4.551e-07, 6.005e-09, 1.102e-07, 7.784e-11, 3.488e-11,
    6.006e-08, 3.235e-06, 1.689e-05, 5.986e-07, 3.241e-10 };

  // Generator.
  Pythia pythia;

  // Standard set of masses for comparison with Fortran code.
  pythia.readString("5:m0  = 4.2");
  pythia.readString("6:m0  = 175.");
  pythia.readString("23:m0 = 91.2");
  pythia.readString("24:m0 = 80.");

  // Same kinematics cuts as Fortran code.
  pythia.readString("PhaseSpace:pTHatMin = 20.");
  pythia.readString("6:mMin = 20.");
  pythia.readString("23:mMin = 20.");
  pythia.readString("24:mMin = 20.");
  pythia.readString("25:mMin = 20.");
  pythia.readString("32:mMin = 400.");
  pythia.readString("34:mMin = 400.");
  pythia.readString("42:mMin = 50.");
  pythia.readString("5000039:mMin = 50.");

  // Also same renormalization and factorization scale.
  pythia.readString("SigmaProcess:renormScale2 = 3");
  pythia.readString("SigmaProcess:factorScale2 = 3");

  // Switch off unnecessary parts.
  pythia.readString("PartonLevel:all = off");
  pythia.readString("ProcessLevel:resonanceDecays = off");

  // No printing of settings, particle data or events.
  pythia.readString("Init:showProcesses = off");
  pythia.readString("Init:showChangedSettings = off");
  pythia.readString("Init:showChangedParticleData = off");
  pythia.readString("Next:numberCount = 0");
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");

  // Debug: show information on cross section maximum and violation.
  //pythia.readString("PhaseSpace:showSearch = on");
  //pythia.readString("PhaseSpace:showViolation = on");

  // Loop over processes.
  for (int iProc = iFirst; iProc <= iLast; ++iProc) {
    cout << "\n Begin subrun number " << iProc << " : ";

    // Switch off previous process(es) and switch on new one(s).
    if (iProc > iFirst) for (int i = iBeg[iProc - 1]; i < iBeg[iProc]; ++i)
      pythia.readString( processes[i] + " = off" );
    for (int i = iBeg[iProc]; i < iBeg[iProc + 1]; ++i) {
      pythia.readString( processes[i] + " = on" );
      if (i > iBeg[iProc]) cout << " + ";
      cout << processes[i];
    }
    cout << endl;

    // Switch between SM and MSSM Higgs scenario.
    if (iProc <= 40) {
      pythia.readString("Higgs:useBSM = off");
      pythia.readString("25:m0 = 200.");
    } else {
      pythia.readString("Higgs:useBSM = on");
      pythia.readString("25:m0 = 115.");
      pythia.readString("35:m0 = 300.");
      pythia.readString("36:m0 = 300.");
      pythia.readString("37:m0 = 320.");
      // With default option Higgs:clipWings = on need to reset mass range.
      pythia.readString("25:mMin = 50.");
      pythia.readString("25:mMax = 0.");
    }

    // Initialize for LHC.
    pythia.readString("Beams:eCM = 14000.");
    pythia.init();

    // Debug: show initialized resonance data first time around.
    //if (iProc == iFirst) pythia.particleData.listChanged(true);

    // Generate events to get cross section statistics.
    for (int iEvent = 0; iEvent < nEvent; ++iEvent) pythia.next();
 
    // Show statistics.
    //pythia.stat();
    double sigma = pythia.info.sigmaGen();
    cout << " Cross section is " << scientific << setprecision(3)
         << sigma << " and in Pythia6 was " << sigma6[iProc]
         << ",\n i.e. now is factor >>> " << fixed
         << sigma / sigma6[iProc] << " <<< different" <flag("JetMatching:setMad",false);
    if (!AlpgenHooks::initAfterBeams()) return false;
    if (!JetMatchingMadgraph::initAfterBeams()) return false;
    return true;
  }

  // Process level vetos.
  virtual bool canVetoProcessLevel() {
    return JetMatchingMadgraph::canVetoProcessLevel();
  }
  virtual bool doVetoProcessLevel(Event& proc) {
    return JetMatchingMadgraph::doVetoProcessLevel(proc);
  }

  // Parton level vetos (before beam remnants and resonance decays).
  virtual bool canVetoPartonLevelEarly() {
    return JetMatchingMadgraph::canVetoPartonLevelEarly();
  }
  virtual bool doVetoPartonLevelEarly(const Event& proc) {
    return JetMatchingMadgraph::doVetoPartonLevelEarly(proc);
  }

};

//==========================================================================

class CombineMatchingInput {

public:

  // Constructor and destructor.
  CombineMatchingInput() {}
  ~CombineMatchingInput() {}

  // Return a hook relevant for combination of input and matching.
  UserHooks* getHook(Pythia& pythia) {

    // Find input source and matching scheme.
    bool isAlpgenFile = ( pythia.word("Alpgen:file") != "void" );
    int  scheme = pythia.mode("JetMatching:scheme");

    // Return relevant UserHooks.
    if (isAlpgenFile) {
      if (scheme == 2) return new JetMatchingAlpgenInputAlpgen(pythia);
      if (scheme == 1) return new JetMatchingMadgraphInputAlpgen(pythia);
    } else {
      if (scheme == 2) return new JetMatchingAlpgen();
      if (scheme == 1) return new JetMatchingMadgraph();
    }

    // If fail then abort message and return VOID.
    pythia.info.errorMsg("Abort from CombinedInputMatching::getHook: "
      "settings unavailable");
    return NULL;
  }

};

//==========================================================================

#endif // Pythia8_CombineMatchingInput_H
pythia8-8.1.86.orig/examples/main82.cc0000644000175000017500000002532312357054701015573 0ustar  sunsun// main82.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do CKKW-L merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

// Functions for histogramming
#include "fastjet/PseudoJet.hh"
#include "fastjet/ClusterSequence.hh"
#include "fastjet/CDFMidPointPlugin.hh"
#include "fastjet/CDFJetCluPlugin.hh"
#include "fastjet/D0RunIIConePlugin.hh"

//==========================================================================

// Find the Durham kT separation of the clustering from
// nJetMin --> nJetMin-1 jets in te input event

double pTfirstJet( const Event& event, int nJetMin, double Rparam) {

  double yPartonMax = 4.;

  // Fastjet analysis - select algorithm and parameters
  fastjet::Strategy               strategy = fastjet::Best;
  fastjet::RecombinationScheme    recombScheme = fastjet::E_scheme;
  fastjet::JetDefinition         *jetDef = NULL;
  // For hadronic collision, use hadronic Durham kT measure
  if(event[3].colType() != 0 || event[4].colType() != 0)
    jetDef = new fastjet::JetDefinition(fastjet::kt_algorithm, Rparam,
                                      recombScheme, strategy);
  // For e+e- collision, use e+e- Durham kT measure
  else
    jetDef = new fastjet::JetDefinition(fastjet::ee_kt_algorithm,
                                      recombScheme, strategy);
  // Fastjet input
  std::vector  fjInputs;
  // Reset Fastjet input
  fjInputs.resize(0);

  // Loop over event record to decide what to pass to FastJet
  for (int i = 0; i < event.size(); ++i) {
    // (Final state && coloured+photons) only!
    if ( !event[i].isFinal()
      || event[i].isLepton()
      || event[i].id() == 23
      || abs(event[i].id()) == 24
      || abs(event[i].y()) > yPartonMax)
      continue;

    // Store as input to Fastjet
    fjInputs.push_back( fastjet::PseudoJet (event[i].px(),
            event[i].py(), event[i].pz(),event[i].e() ) );
  }

  // Do nothing for empty input
  if (int(fjInputs.size()) == 0) {
    delete jetDef;
    return 0.0;
  }

  // Run Fastjet algorithm
  fastjet::ClusterSequence clustSeq(fjInputs, *jetDef);
  // Extract kT of first clustering
  double pTFirst = sqrt(clustSeq.exclusive_dmerge_max(nJetMin-1));

  delete jetDef;
  // Return kT
  return pTFirst;

}

//==========================================================================

// Class for user interaction with the merging

class MyMergingHooks : public MergingHooks {

private:

public:

  // Default constructor
  MyMergingHooks();
  // Destructor
  ~MyMergingHooks();

  // Functional definition of the merging scale
  virtual double tmsDefinition( const Event& event);

  // Helper function for tms definition
  double myKTdurham(const Particle& RadAfterBranch,
           const Particle& EmtAfterBranch, int Type, double D );

};

//--------------------------------------------------------------------------

// Constructor
MyMergingHooks::MyMergingHooks() {}

// Destructor
MyMergingHooks::~MyMergingHooks() {}

//--------------------------------------------------------------------------

// Definition of the merging scale

double MyMergingHooks::tmsDefinition( const Event& event){

  // Cut only on QCD partons!
  // Count particle types
  int nFinalColoured = 0;
  int nFinalNow =0;
  for( int i=0; i < event.size(); ++i) {
    if(event[i].isFinal()){
      if(event[i].id() != 23 && abs(event[i].id()) != 24)
        nFinalNow++;
      if( event[i].colType() != 0)
        nFinalColoured++;
    }
  }

  // Use MergingHooks in-built functions to get information on the hard process
  int nLeptons = nHardOutLeptons();
  int nQuarks  = nHardOutPartons();
  int nResNow  = nResInCurrent();

  // Check if photons, electrons etc. have been produced. If so, do not veto
  if(nFinalNow - ( (nLeptons+nQuarks)/2 - nResNow)*2 != nFinalColoured){
    // Sometimes, Pythia detaches the decay products even though no
    // resonance was put into the LHE file, to catch this, add another
    // if statement
    if(nFinalNow != nFinalColoured) return 0.;
  }

  // Check that one parton has been produced. If not (e.g. in MPI), do not veto
  int nMPI = infoPtr->nMPI();
  if(nMPI > 1) return 0.;

  // Declare kT algorithm parameters
  double Dparam = 0.4;
  int kTtype = -1;
  // Declare final parton vector
  vector  FinalPartPos;
  FinalPartPos.clear();
  // Search event record for final state partons
  for (int i=0; i < event.size(); ++i)
    if(event[i].isFinal() && event[i].colType() != 0)
      FinalPartPos.push_back(i);

  // Find minimal Durham kT in event, using own function: Check
  // definition of separation
  int type = (event[3].colType() == 0 && event[4].colType() == 0) ? 1 : kTtype;
  // Find minimal kT
  double ktmin = event[0].e();
  for(int i=0; i < int(FinalPartPos.size()); ++i){
    double kt12  = ktmin;
    // Compute separation to the beam axis for hadronic collisions
    if(type == -1 || type == -2) {
      double temp = event[FinalPartPos[i]].pT();
      kt12 = min(kt12, temp);
    }
    // Compute separation to other final state jets
    for(int j=i+1; j < int(FinalPartPos.size()); ++j) {
      double temp = kTdurham( event[FinalPartPos[i]], event[FinalPartPos[j]],
                      type, Dparam);
      kt12 = min(kt12, temp);
    }
    // Keep the minimal Durham separation
    ktmin = min(ktmin,kt12);
  }

  // Return minimal Durham kT
  return ktmin;

}

//--------------------------------------------------------------------------

// Function to compute durham y separation from Particle input

double MyMergingHooks::myKTdurham(const Particle& RadAfterBranch,
  const Particle& EmtAfterBranch, int Type, double D ){

  // Declare return variable
  double ktdur;
  // Save 4-momenta of final state particles
  Vec4 jet1 = RadAfterBranch.p();
  Vec4 jet2 = EmtAfterBranch.p();

  if( Type == 1) {
    // Get angle between jets for e+e- collisions, make sure that
    // -1 <= cos(theta) <= 1
    double costh;
    if (jet1.pAbs()*jet2.pAbs() <=0.) costh = 1.;
    else {
      costh = costheta(jet1,jet2);
    }
    // Calculate kt durham separation between jets for e+e- collisions
    ktdur = 2.0*min( pow(jet1.e(),2) , (pow(jet2.e(),2)) )*(1.0 - costh);
  } else if( Type == -1 ){
    // Get delta_eta and cosh(Delta_eta) for hadronic collisions
    double eta1 = 0.5*log( (jet1.e() + jet1.pz()) / (jet1.e() - jet1.pz()) );
    double eta2 = 0.5*log( (jet2.e() + jet2.pz()) / (jet2.e() - jet2.pz()) );
    // Get delta_phi and cos(Delta_phi) for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    double dPhi = acos( cosdPhi );
    // Calculate kT durham like fastjet
     ktdur = min( pow(pt1,2),pow(pt2,2) )
           * ( pow(eta1-eta2,2) + pow(dPhi,2) ) / pow(D,2);
  } else if( Type == -2 ){
    // Get delta_eta and cosh(Delta_eta) for hadronic collisions
    double eta1 = 0.5*log( (jet1.e() + jet1.pz()) / (jet1.e() - jet1.pz()) );
    double eta2 = 0.5*log( (jet2.e() + jet2.pz()) / (jet2.e() - jet2.pz()) );
     double coshdEta = cosh( eta1 - eta2 );
    // Get delta_phi and cos(Delta_phi) for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    // Calculate kT durham separation "SHERPA-like"
     ktdur = 2.0*min( pow(pt1,2),pow(pt2,2) )
           * ( coshdEta - cosdPhi ) / pow(D,2);
  } else {
    ktdur = 0.0;
  }
  // Return kT
  return sqrt(ktdur);
}

//==========================================================================

// Example main programm to illustrate merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments. \n You are"
         << " expected to provide the arguments \n"
         << " 1. Input file for settings \n"
         << " 2. Full name of the input LHE file (with path) \n"
         << " 3. Path for output histogram files \n"
         << " Program stopped. " << endl;
    return 1;
  }

  Pythia pythia;

  // Input parameters:
  //  1. Input file for settings
  //  2. Path to input LHE file
  //  3. OUtput histogram path
  pythia.readFile(argv[1]);
  string iPath = string(argv[2]);
  string oPath = string(argv[3]);

  // Number of events
  int nEvent = pythia.mode("Main:numberOfEvents");

  // Construct user inut for merging
  MergingHooks* myMergingHooks = new MyMergingHooks();
  pythia.setMergingHooksPtr( myMergingHooks );

  // For ISR regularisation off
  pythia.settings.forceParm("SpaceShower:pT0Ref",0.);

  // Declare histograms
  Hist histPTFirst("pT of first jet",100,0.,100.);
  Hist histPTSecond("pT of second jet",100,0.,100.);

  // Read in ME configurations
  pythia.init(iPath,false);

  if(pythia.flag("Main:showChangedSettings")) {
    pythia.settings.listChanged();
  }

  // Start generation loop
  for( int iEvent=0; iEvent typeIdx[3];
  set    typeSet[3];

  // Momenta output of jet algorithm (to provide same output regardless of
  // the selected jet algorithm)
  vector jetMomenta;

  // CellJet specific
  int    nEta, nPhi;
  double eTseed, eTthreshold;

  // Merging procedure parameters
  int    jetAllow, jetMatch, exclusiveMode;
  double coneMatchLight, coneRadiusHeavy, coneMatchHeavy;
  bool   exclusive;

  // Store the minimum eT/pT of matched light jets
  double eTpTlightMin;

};

//==========================================================================

// Declaration of main UserHooks class to perform Alpgen matching.

class JetMatchingAlpgen : virtual public JetMatching {

public:

  // Constructor and destructor
  JetMatchingAlpgen() { }
  ~JetMatchingAlpgen() { }

  // Initialisation
  bool initAfterBeams();

private:

  // Different steps of the matching algorithm.
  void sortIncomingProcess(const Event &);
  void jetAlgorithmInput(const Event &, int);
  void runJetAlgorithm();
  bool matchPartonsToJets(int);
  int  matchPartonsToJetsLight();
  int  matchPartonsToJetsHeavy();

  // Sorting utility
  void sortTypeIdx(vector < int > &vecIn);

  // Constants
  static const double GHOSTENERGY, ZEROTHRESHOLD;

};

//==========================================================================

// Declaration of main UserHooks class to perform Madgraph matching.

class JetMatchingMadgraph : virtual public JetMatching {

public:

  // Constructor and destructor
  JetMatchingMadgraph() { }
  ~JetMatchingMadgraph() { }

  // Initialisation
  bool initAfterBeams();

  // Shower step vetoes (after the first emission, for Shower-kT scheme)
  int  numberVetoStep() {return 1;}
  bool canVetoStep() { return doShowerKt; }
  bool doVetoStep(int,  int, int, const Event& );

protected:

  // Different steps of the matching algorithm.
  void sortIncomingProcess(const Event &);
  void jetAlgorithmInput(const Event &, int);
  void runJetAlgorithm();
  bool matchPartonsToJets(int);
  int  matchPartonsToJetsLight();
  int  matchPartonsToJetsHeavy();
  bool doShowerKtVeto(double pTfirst);

  // Variables.
  vector origTypeIdx[3];
  int    nQmatch;
  double qCut, qCutSq, clFact;
  bool   doFxFx;
  int    nPartonsNow;
  double qCutME, qCutMESq;

};

//==========================================================================

// Main implementation of JetMatching class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

//--------------------------------------------------------------------------

// Constants to be changed for debug printout or extra checks.
const bool JetMatching::MATCHINGDEBUG = false;
const bool JetMatching::MATCHINGCHECK = false;

//--------------------------------------------------------------------------

// Early parton level veto (before beam remnants and resonance showers)

bool JetMatching::doVetoPartonLevelEarly(const Event& event) {

  // 1) Sort the original incoming process. After this step is performed,
  //    the following assignments have been made:
  //    eventProcessOrig - the original incoming process
  //    eventProcess     - the final-state of the incoming process with
  //                       resonance decays removed (and resonances
  //                       themselves now with positive status code)
  //    typeIdx[0/1/2]   - Indices into 'eventProcess' of
  //                       light jets/heavy jets/other
  //    typeSet[0/1/2]   - Indices into 'event' of light jets/heavy jets/other
  //    workEvent        - partons from the hardest subsystem + ISR + FSR only
  sortIncomingProcess(event);

  // For the shower-kT scheme, do not perform any veto here, as any vetoing
  // will already have taken place in doVetoStep.
  if ( doShowerKt ) return false;

  // Debug printout.
  if (MATCHINGDEBUG) {
    // Begin
    cout << endl << "-------- Begin Madgraph Debug --------" << endl;
    // Original incoming process
    cout << endl << "Original incoming process:";
    eventProcessOrig.list();
    // Final-state of original incoming process
    cout << endl << "Final-state incoming process:";
    eventProcess.list();
    // List categories of sorted particles
    for (size_t i = 0; i < typeIdx[0].size(); i++)
      cout << ((i == 0) ? "Light jets: " : ", ")   << setw(3) << typeIdx[0][i];
    if( typeIdx[0].size()== 0 )
      cout << "Light jets: None";

    for (size_t i = 0; i < typeIdx[1].size(); i++)
      cout << ((i == 0) ? "\nHeavy jets: " : ", ") << setw(3) << typeIdx[1][i];
    for (size_t i = 0; i < typeIdx[2].size(); i++)
      cout << ((i == 0) ? "\nOther:      " : ", ") << setw(3) << typeIdx[2][i];
    // Full event at this stage
    cout << endl << endl << "Event:";
    event.list();
    // Work event (partons from hardest subsystem + ISR + FSR)
    cout << endl << "Work event:";
    workEvent.list();
  }

  // 2) Light/heavy jets: iType = 0 (light jets), 1 (heavy jets)
  int iTypeEnd = (typeIdx[1].empty()) ? 1 : 2;
  for (int iType = 0; iType < iTypeEnd; iType++) {

    // 2a) Find particles which will be passed from the jet algorithm.
    //     Input from 'workEvent' and output in 'workEventJet'.
    jetAlgorithmInput(event, iType);

    // Debug printout.
    if (MATCHINGDEBUG) {
      // Jet algorithm event
      cout << endl << "Jet algorithm event (iType = " << iType << "):";
      workEventJet.list();
    }

    // 2b) Run jet algorithm on 'workEventJet'.
    //     Output is stored in jetMomenta.
    runJetAlgorithm();

    // 2c) Match partons to jets and decide if veto is necessary
    if (matchPartonsToJets(iType) == true) {
      // Debug printout.
      if (MATCHINGDEBUG) {
        cout << endl << "Event vetoed" << endl
             << "----------  End MLM Debug  ----------" << endl;
      }
      return true;
    }
  }

  // Debug printout.
  if (MATCHINGDEBUG) {
    cout << endl << "Event accepted" << endl
         << "----------  End MLM Debug  ----------" << endl;
  }

  // If we reached here, then no veto
  return false;

}

//==========================================================================

// Main implementation of Alpgen UserHooks class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// The energy of ghost particles. For technical reasons, this cannot be
// set arbitrarily low, see 'Particle::TINY' in 'Event.cc' for details.
const double JetMatchingAlpgen::GHOSTENERGY   = 1e-15;

// A zero threshold value for double comparisons.
const double JetMatchingAlpgen::ZEROTHRESHOLD = 1e-10;

//--------------------------------------------------------------------------

// Function to sort typeIdx vectors into descending eT/pT order.
// Uses a selection sort, as number of partons generally small
// and so efficiency not a worry.

void JetMatchingAlpgen::sortTypeIdx(vector < int > &vecIn) {
  for (size_t i = 0; i < vecIn.size(); i++) {
    size_t jMax = i;
    double vMax = (jetAlgorithm == 1) ?
      eventProcess[vecIn[i]].eT() :
      eventProcess[vecIn[i]].pT();
    for (size_t j = i + 1; j < vecIn.size(); j++) {
      double vNow = (jetAlgorithm == 1) 
        ? eventProcess[vecIn[j]].eT() : eventProcess[vecIn[j]].pT();
      if (vNow > vMax) {
        vMax = vNow;
        jMax = j;
      }
    }
    if (jMax != i) swap(vecIn[i], vecIn[jMax]);
  }
}

//--------------------------------------------------------------------------

// Initialisation routine automatically called from Pythia::init().
// Setup all parts needed for the merging.

bool JetMatchingAlpgen::initAfterBeams() {

  // Read in parameters
  doMerge         = settingsPtr->flag("JetMatching:merge");
  jetAlgorithm    = settingsPtr->mode("JetMatching:jetAlgorithm");
  nJet            = settingsPtr->mode("JetMatching:nJet");
  nJetMax         = settingsPtr->mode("JetMatching:nJetMax");
  eTjetMin        = settingsPtr->parm("JetMatching:eTjetMin");
  coneRadius      = settingsPtr->parm("JetMatching:coneRadius");
  etaJetMax       = settingsPtr->parm("JetMatching:etaJetMax");
  doShowerKt      = settingsPtr->flag("JetMatching:doShowerKt");

  // Use etaJetMax + coneRadius in input to jet algorithms
  etaJetMaxAlgo   = etaJetMax + coneRadius;

  // CellJet specific
  nEta            = settingsPtr->mode("JetMatching:nEta");
  nPhi            = settingsPtr->mode("JetMatching:nPhi");
  eTseed          = settingsPtr->parm("JetMatching:eTseed");
  eTthreshold     = settingsPtr->parm("JetMatching:eTthreshold");

  // SlowJet specific
  slowJetPower    = settingsPtr->mode("JetMatching:slowJetPower");
  coneMatchLight  = settingsPtr->parm("JetMatching:coneMatchLight");
  coneRadiusHeavy = settingsPtr->parm("JetMatching:coneRadiusHeavy");
  if (coneRadiusHeavy < 0.) coneRadiusHeavy = coneRadius;
  coneMatchHeavy  = settingsPtr->parm("JetMatching:coneMatchHeavy");

  // Matching procedure
  jetAllow        = settingsPtr->mode("JetMatching:jetAllow");
  jetMatch        = settingsPtr->mode("JetMatching:jetMatch");
  exclusiveMode   = settingsPtr->mode("JetMatching:exclusive");

  // If not merging, then done
  if (!doMerge) return true;

  // Exclusive mode; if set to 2, then set based on nJet/nJetMax
  if (exclusiveMode == 2) {

    // No nJet or nJetMax, so default to exclusive mode
    if (nJet < 0 || nJetMax < 0) {
      infoPtr->errorMsg("Warning in JetMatchingAlpgen:init: "
          "missing jet multiplicity information; running in exclusive mode");
      exclusive = true;

    // Inclusive if nJet == nJetMax, exclusive otherwise
    } else {
      exclusive = (nJet == nJetMax) ? false : true;
    }

  // Otherwise, just set as given
  } else {
    exclusive = (exclusiveMode == 0) ? false : true;
  }

  // Initialise chosen jet algorithm. CellJet.
  if (jetAlgorithm == 1) {

    // Extra options for CellJet. nSel = 1 means that all final-state
    // particles are taken and we retain control of what to select.
    // smear/resolution/upperCut are not used and are set to default values.
    int    nSel = 2, smear = 0;
    double resolution = 0.5, upperCut = 2.;
    cellJet = new CellJet(etaJetMaxAlgo, nEta, nPhi, nSel,
                          smear, resolution, upperCut, eTthreshold);

  // SlowJet
  } else if (jetAlgorithm == 2) {
    slowJet = new SlowJet(slowJetPower, coneRadius, eTjetMin, etaJetMaxAlgo);
  }

  // Check the jetMatch parameter; option 2 only works with SlowJet
  if (jetAlgorithm == 1 && jetMatch == 2) {
    infoPtr->errorMsg("Warning in JetMatchingAlpgen:init: "
        "jetMatch = 2 only valid with SlowJet algorithm. "
        "Reverting to jetMatch = 1");
    jetMatch = 1;
  }

  // Setup local event records
  eventProcessOrig.init("(eventProcessOrig)", particleDataPtr);
  eventProcess.init("(eventProcess)", particleDataPtr);
  workEventJet.init("(workEventJet)", particleDataPtr);

  // Print information
  string jetStr  = (jetAlgorithm ==  1) ? "CellJet" :
                   (slowJetPower == -1) ? "anti-kT" :
                   (slowJetPower ==  0) ? "C/A"     :
                   (slowJetPower ==  1) ? "kT"      : "unknown";
  string modeStr = (exclusive)         ? "exclusive" : "inclusive";
  stringstream nJetStr, nJetMaxStr;
  if (nJet >= 0)    nJetStr    << nJet;    else nJetStr    << "unknown";
  if (nJetMax >= 0) nJetMaxStr << nJetMax; else nJetMaxStr << "unknown";
  cout << endl
       << " *-------  MLM matching parameters  -------*" << endl
       << " |  nJet                |  " << setw(14)
       << nJetStr.str() << "  |" << endl
       << " |  nJetMax             |  " << setw(14)
       << nJetMaxStr.str() << "  |" << endl
       << " |  Jet algorithm       |  " << setw(14)
       << jetStr << "  |" << endl
       << " |  eTjetMin            |  " << setw(14)
       << eTjetMin << "  |" << endl
       << " |  coneRadius          |  " << setw(14)
       << coneRadius << "  |" << endl
       << " |  etaJetMax           |  " << setw(14)
       << etaJetMax << "  |" << endl
       << " |  jetAllow            |  " << setw(14)
       << jetAllow << "  |" << endl
       << " |  jetMatch            |  " << setw(14)
       << jetMatch << "  |" << endl
       << " |  coneMatchLight      |  " << setw(14)
       << coneMatchLight << "  |" << endl
       << " |  coneRadiusHeavy     |  " << setw(14)
       << coneRadiusHeavy << "  |" << endl
       << " |  coneMatchHeavy      |  " << setw(14)
       << coneMatchHeavy << "  |" << endl
       << " |  Mode                |  " << setw(14)
       << modeStr << "  |" << endl
       << " *-----------------------------------------*" << endl;

  return true;
}

//--------------------------------------------------------------------------

// Step (1): sort the incoming particles

void JetMatchingAlpgen::sortIncomingProcess(const Event &event) {

  // Remove resonance decays from original process and keep only final
  // state. Resonances will have positive status code after this step.
  omitResonanceDecays(eventProcessOrig, true);
  eventProcess = workEvent;

  // Sort original process final state into light/heavy jets and 'other'.
  // Criteria:
  //   1 <= ID <= 5 and massless, or ID == 21 --> light jet (typeIdx[0])
  //   4 <= ID <= 6 and massive               --> heavy jet (typeIdx[1])
  //   All else                               --> other     (typeIdx[2])
  // Note that 'typeIdx' stores indices into 'eventProcess' (after resonance
  // decays are omitted), while 'typeSet' stores indices into the original
  // process record, 'eventProcessOrig', but these indices are also valid
  // in 'event'.
  for (int i = 0; i < 3; i++) {
    typeIdx[i].clear();
    typeSet[i].clear();
  }
  for (int i = 0; i < eventProcess.size(); i++) {
    // Ignore nonfinal and default to 'other'
    if (!eventProcess[i].isFinal()) continue;
    int idx = 2;

    // Light jets
    if (eventProcess[i].id() == ID_GLUON
      || (eventProcess[i].idAbs() <= ID_BOT
      && abs(eventProcess[i].m()) < ZEROTHRESHOLD)) idx = 0;

    // Heavy jets
    else if (eventProcess[i].idAbs() >= ID_CHARM
      && eventProcess[i].idAbs() <= ID_TOP) idx = 1;

    // Store
    typeIdx[idx].push_back(i);
    typeSet[idx].insert(eventProcess[i].daughter1());
  }

  // Extract partons from hardest subsystem + ISR + FSR only into
  // workEvent. Note no resonance showers or MPIs.
  subEvent(event);
}

//--------------------------------------------------------------------------

// Step (2a): pick which particles to pass to the jet algorithm

void JetMatchingAlpgen::jetAlgorithmInput(const Event &event, int iType) {

  // Take input from 'workEvent' and put output in 'workEventJet'
  workEventJet = workEvent;

  // Loop over particles and decide what to pass to the jet algorithm
  for (int i = 0; i < workEventJet.size(); ++i) {
    if (!workEventJet[i].isFinal()) continue;

    // jetAllow option to disallow certain particle types
    if (jetAllow == 1) {

      // Original AG+Py6 algorithm explicitly excludes tops,
      // leptons and photons.
      int id = workEventJet[i].idAbs();
      if ( (id >= ID_LEPMIN && id <= ID_LEPMAX) || id == ID_TOP
        || id == ID_PHOTON) {
        workEventJet[i].statusNeg();
        continue;
      }
    }

    // Get the index of this particle in original event
    int idx = workEventJet[i].daughter1();

    // Start with particle idx, and afterwards track mothers
    while (true) {

      // Light jets
      if (iType == 0) {

        // Do not include if originates from heavy jet or 'other'
        if (typeSet[1].find(idx) != typeSet[1].end() ||
            typeSet[2].find(idx) != typeSet[2].end()) {
          workEventJet[i].statusNeg();
          break;
        }

        // Made it to start of event record so done
        if (idx == 0) break;
        // Otherwise next mother and continue
        idx = event[idx].mother1();

      // Heavy jets
      } else if (iType == 1) {

        // Only include if originates from heavy jet
        if (typeSet[1].find(idx) != typeSet[1].end()) break;

        // Made it to start of event record with no heavy jet mother,
        // so DO NOT include particle
        if (idx == 0) {
          workEventJet[i].statusNeg();
          break;
        }

        // Otherwise next mother and continue
        idx = event[idx].mother1();

      } // if (iType)
    } // while (true)
  } // for (i)

  // For jetMatch = 2, insert ghost particles corresponding to
  // each hard parton in the original process
  if (jetMatch == 2) {
    for (int i = 0; i < int(typeIdx[iType].size()); i++) {
      // Get y/phi of the parton
      Vec4   pIn = eventProcess[typeIdx[iType][i]].p();
      double y   = pIn.rap();
      double phi = pIn.phi();

      // Create a ghost particle and add to the workEventJet
      double e   = GHOSTENERGY;
      double e2y = exp(2. * y);
      double pz  = e * (e2y - 1.) / (e2y + 1.);
      double pt  = sqrt(e*e - pz*pz);
      double px  = pt * cos(phi);
      double py  = pt * sin(phi);
      workEventJet.append( ID_GLUON, 99, 0, 0, 0, 0, 0, 0, px, py, pz, e);

      // Extra check on reconstructed y/phi values. If many warnings
      // of this type, GHOSTENERGY may be set too low.
      if (MATCHINGCHECK) {
      int lastIdx = workEventJet.size() - 1;
      if (abs(y   - workEventJet[lastIdx].y())   > ZEROTHRESHOLD ||
          abs(phi - workEventJet[lastIdx].phi()) > ZEROTHRESHOLD)
        infoPtr->errorMsg("Warning in JetMatchingAlpgen:jetAlgorithmInput: "
            "ghost particle y/phi mismatch");
      }

    } // for (i)
  } // if (jetMatch == 2)
}

//--------------------------------------------------------------------------

// Step (2b): run jet algorithm and provide common output

void JetMatchingAlpgen::runJetAlgorithm() {

  // Run the jet clustering algorithm
  if (jetAlgorithm == 1)
    cellJet->analyze(workEventJet, eTjetMin, coneRadius, eTseed);
  else
    slowJet->analyze(workEventJet);

  // Extract four-momenta of jets with |eta| < etaJetMax and
  // put into jetMomenta. Note that this is done backwards as
  // jets are removed with SlowJet.
  jetMomenta.clear();
  int iJet = (jetAlgorithm == 1) ? cellJet->size() - 1:
                                   slowJet->sizeJet() - 1;
  for (int i = iJet; i > -1; i--) {
    Vec4 jetMom = (jetAlgorithm == 1) ? cellJet->pMassive(i) :
                                        slowJet->p(i);
    double eta = jetMom.eta();

    if (abs(eta) > etaJetMax) {
      if (jetAlgorithm == 2) slowJet->removeJet(i);
      continue;
    }
    jetMomenta.push_back(jetMom);
  }

  // Reverse jetMomenta to restore eT/pT ordering
  reverse(jetMomenta.begin(), jetMomenta.end());
}

//--------------------------------------------------------------------------

// Step (2c): veto decision (returning true vetoes the event)

bool JetMatchingAlpgen::matchPartonsToJets(int iType) {

  // Use two different routines for light/heavy jets as
  // different veto conditions and for clarity
  if (iType == 0) return (matchPartonsToJetsLight() > 0);
  else            return (matchPartonsToJetsHeavy() > 0);
}

//--------------------------------------------------------------------------

// Step(2c): light jets
// Return codes are given indicating the reason for a veto.
// Although not currently used, they are a useful debugging tool:
//   0 = no veto
//   1 = veto as number of jets less than number of partons
//   2 = veto as exclusive mode and number of jets greater than
//       number of partons
//   3 = veto as inclusive mode and there would be an extra jet
//       that is harder than any matched soft jet
//   4 = veto as there is a parton which does not match a jet

int JetMatchingAlpgen::matchPartonsToJetsLight() {

  // Always veto if number of jets is less than original number of jets
  if (jetMomenta.size() < typeIdx[0].size()) return LESS_JETS;
  // Veto if in exclusive mode and number of jets bigger than original
  if (exclusive && jetMomenta.size() > typeIdx[0].size()) return MORE_JETS;

  // Sort partons by eT/pT
  sortTypeIdx(typeIdx[0]);

  // Number of hard partons
  int nParton = typeIdx[0].size();

  // Keep track of which jets have been assigned a hard parton
  vector < bool > jetAssigned;
  jetAssigned.assign(jetMomenta.size(), false);

  // Jet matching procedure: (1) deltaR between partons and jets
  if (jetMatch == 1) {

    // Loop over light hard partons and get 4-momentum
    for (int i = 0; i < nParton; i++) {
      Vec4 p1 = eventProcess[typeIdx[0][i]].p();

      // Track which jet has the minimal dR measure with this parton
      int    jMin  = -1;
      double dRmin = 0.;

      // Loop over all jets (skipping those already assigned).
      for (int j = 0; j < int(jetMomenta.size()); j++) {
        if (jetAssigned[j]) continue;

        // DeltaR between parton/jet and store if minimum
        double dR = (jetAlgorithm == 1) 
          ? REtaPhi(p1, jetMomenta[j]) : RRapPhi(p1, jetMomenta[j]);
        if (jMin < 0 || dR < dRmin) {
          dRmin = dR;
          jMin  = j;
        }
      } // for (j)

      // Check for jet-parton match
      if (jMin >= 0 && dRmin < coneRadius * coneMatchLight) {

        // If the matched jet is not one of the nParton hardest jets,
        // the extra left over jet would be harder than some of the
        // matched jets. This is disallowed, so veto.
        if (jMin >= nParton) return HARD_JET;

        // Mark jet as assigned.
        jetAssigned[jMin] = true;

      // If no match, then event will be vetoed in all cases
      } else return UNMATCHED_PARTON;

    } // for (i)

  // Jet matching procedure: (2) ghost particles in SlowJet
  } else {

    // Loop over added 'ghost' particles and find if assigned to a jet
    for (int i = workEventJet.size() - nParton;
        i < workEventJet.size(); i++) {
      int jMin = slowJet->jetAssignment(i);

      // Veto if:
      //  1) not one of nParton hardest jets
      //  2) not assigned to a jet
      //  3) jet has already been assigned
      if (jMin >= nParton)               return HARD_JET;
      if (jMin < 0 || jetAssigned[jMin]) return UNMATCHED_PARTON;

      // Mark jet as assigned
      jetAssigned[jMin] = true;

    } // for (i)
  } // if (jetMatch)

  // Minimal eT/pT (CellJet/SlowJet) of matched light jets. Needed
  // later for heavy jet vetos in inclusive mode.
  if (nParton > 0)
    eTpTlightMin = (jetAlgorithm == 1) ? jetMomenta[nParton - 1].eT()
                                       : jetMomenta[nParton - 1].pT();
  else
    eTpTlightMin = -1.;

  // No veto
  return NONE;
}

//--------------------------------------------------------------------------

// Step(2c): heavy jets
// Return codes are given indicating the reason for a veto.
// Although not currently used, they are a useful debugging tool:
//   0 = no veto as there are no extra jets present
//   1 = veto as in exclusive mode and extra jets present
//   2 = veto as in inclusive mode and extra jets were harder
//       than any matched light jet

int JetMatchingAlpgen::matchPartonsToJetsHeavy() {

  // If there are no extra jets, then accept
  if (jetMomenta.empty()) return NONE;

  // Number of hard partons
  int nParton = typeIdx[1].size();

  // Remove jets that are close to heavy quarks
  set < int > removeJets;

  // Jet matching procedure: (1) deltaR between partons and jets
  if (jetMatch == 1) {

    // Loop over heavy hard partons and get 4-momentum
    for (int i = 0; i < nParton; i++) {
      Vec4 p1 = eventProcess[typeIdx[1][i]].p();

      // Loop over all jets, find dR and mark for removal if match
      for (int j = 0; j < int(jetMomenta.size()); j++) {
        double dR = (jetAlgorithm == 1) ?
            REtaPhi(p1, jetMomenta[j]) : RRapPhi(p1, jetMomenta[j]);
        if (dR < coneRadiusHeavy * coneMatchHeavy)
          removeJets.insert(j);

      } // for (j)
    } // for (i)

  // Jet matching procedure: (2) ghost particles in SlowJet
  } else {

    // Loop over added 'ghost' particles and if assigned to a jet
    // then mark this jet for removal
    for (int i = workEventJet.size() - nParton;
        i < workEventJet.size(); i++) {
      int jMin = slowJet->jetAssignment(i);
      if (jMin >= 0) removeJets.insert(jMin);
    }
      
  }

  // Remove jets (backwards order to not disturb indices)
  for (set < int >::reverse_iterator it  = removeJets.rbegin();
                                     it != removeJets.rend(); it++)
    jetMomenta.erase(jetMomenta.begin() + *it);

  // Handle case if there are still extra jets
  if (!jetMomenta.empty()) {

    // Exclusive mode, so immediate veto
    if (exclusive) return MORE_JETS;

    // Inclusive mode; extra jets must be softer than any matched light jet
    else if (eTpTlightMin >= 0.)
      for (size_t j = 0; j < jetMomenta.size(); j++) {
        // CellJet uses eT, SlowJet uses pT
        if ( (jetAlgorithm == 1 && jetMomenta[j].eT() > eTpTlightMin) ||
             (jetAlgorithm == 2 && jetMomenta[j].pT() > eTpTlightMin) )
          return HARD_JET;
      }

  } // if (!jetMomenta.empty())

  // No extra jets were present so no veto
  return NONE;
}

//==========================================================================

// Main implementation of Madgraph UserHooks class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

//--------------------------------------------------------------------------

// Initialisation routine automatically called from Pythia::init().
// Setup all parts needed for the merging.

bool JetMatchingMadgraph::initAfterBeams() {

  // Read in Madgraph specific configuration variables
  bool setMad    = settingsPtr->flag("JetMatching:setMad");

  // If Madgraph parameters are present, then parse in MadgraphPar object
  MadgraphPar par(infoPtr);
  string parStr = infoPtr->header("MGRunCard");
  if (!parStr.empty()) {
    par.parse(parStr);
    par.printParams();
  }
 
  // Set Madgraph merging parameters from the file if requested
  if (setMad) {
    if ( par.haveParam("xqcut")    && par.haveParam("maxjetflavor")
      && par.haveParam("alpsfact") && par.haveParam("ickkw") ) {
      settingsPtr->flag("JetMatching:merge", par.getParam("ickkw"));
      settingsPtr->parm("JetMatching:qCut", par.getParam("xqcut"));
      settingsPtr->mode("JetMatching:nQmatch",
        par.getParamAsInt("maxjetflavor"));
      settingsPtr->parm("JetMatching:clFact",
        clFact = par.getParam("alpsfact"));
      if (par.getParamAsInt("ickkw") == 0)
        infoPtr->errorMsg("Error in JetMatchingMadgraph:init: "
          "Madgraph file parameters are not set for merging");

    // Warn if setMad requested, but one or more parameters not present
    } else {
       infoPtr->errorMsg("Warning in JetMatchingMadgraph:init: "
          "Madgraph merging parameters not found");
       if (!par.haveParam("xqcut")) infoPtr->errorMsg("Warning in "
          "JetMatchingMadgraph:init: No xqcut");
       if (!par.haveParam("ickkw")) infoPtr->errorMsg("Warning in "
          "JetMatchingMadgraph:init: No ickkw");
       if (!par.haveParam("maxjetflavor")) infoPtr->errorMsg("Warning in "
          "JetMatchingMadgraph:init: No maxjetflavor");
       if (!par.haveParam("alpsfact")) infoPtr->errorMsg("Warning in "
          "JetMatchingMadgraph:init: No alpsfact");
    }
  }

  // Read in FxFx matching parameters
  doFxFx       = settingsPtr->flag("JetMatching:doFxFx");
  nPartonsNow  = settingsPtr->mode("JetMatching:nPartonsNow");
  qCutME       = settingsPtr->parm("JetMatching:qCutME");
  qCutMESq     = pow(qCutME,2);

  // Read in Madgraph merging parameters
  doMerge      = settingsPtr->flag("JetMatching:merge");
  doShowerKt   = settingsPtr->flag("JetMatching:doShowerKt");
  qCut         = settingsPtr->parm("JetMatching:qCut");
  nQmatch      = settingsPtr->mode("JetMatching:nQmatch");
  clFact       = settingsPtr->parm("JetMatching:clFact");

  // Read in jet algorithm parameters
  jetAlgorithm   = settingsPtr->mode("JetMatching:jetAlgorithm");
  nJetMax        = settingsPtr->mode("JetMatching:nJetMax");
  eTjetMin       = settingsPtr->parm("JetMatching:eTjetMin");
  coneRadius     = settingsPtr->parm("JetMatching:coneRadius");
  etaJetMax      = settingsPtr->parm("JetMatching:etaJetMax");
  slowJetPower   = settingsPtr->mode("JetMatching:slowJetPower");

  // Matching procedure
  jetAllow       = settingsPtr->mode("JetMatching:jetAllow");
  exclusiveMode  = settingsPtr->mode("JetMatching:exclusive");
  qCutSq         = pow(qCut,2);
  etaJetMaxAlgo  = etaJetMax;

  // If not merging, then done
  if (!doMerge) return true;

  // Exclusive mode; if set to 2, then set based on nJet/nJetMax
  if (exclusiveMode == 2) {

    // No nJet or nJetMax, so default to exclusive mode
    if (nJetMax < 0) {
      infoPtr->errorMsg("Warning in JetMatchingMadgraph:init: "
        "missing jet multiplicity information; running in exclusive mode");
      exclusiveMode = 1;
    }
  }

  // Initialise chosen jet algorithm.
  // Currently, this only supports the kT-algorithm in SlowJet.
  // Use the QCD distance measure by default.
  jetAlgorithm = 2;
  slowJetPower = 1;
  slowJet = new SlowJet(slowJetPower, coneRadius, eTjetMin,
    etaJetMaxAlgo, 2, 2, NULL, false);

  // For FxFx, also initialise jet algorithm to define matrix element jets.
  // Currently, this only supports the kT-algorithm in SlowJet.
  // Use the QCD distance measure by default.
  slowJetHard = new SlowJet(slowJetPower, coneRadius, qCutME,
    etaJetMaxAlgo, 2, 2, NULL, false);

  // Setup local event records
  eventProcessOrig.init("(eventProcessOrig)", particleDataPtr);
  eventProcess.init("(eventProcess)", particleDataPtr);
  workEventJet.init("(workEventJet)", particleDataPtr);

  // Print information
  string jetStr  = (jetAlgorithm ==  1) ? "CellJet" :
                   (slowJetPower == -1) ? "anti-kT" :
                   (slowJetPower ==  0) ? "C/A"     :
                   (slowJetPower ==  1) ? "kT"      : "unknown";
  string modeStr = (exclusiveMode)         ? "exclusive" : "inclusive";
  cout << endl
       << " *-----  Madgraph matching parameters  -----*" << endl
       << " |  qCut                |  " << setw(14)
       << qCut << "  |" << endl
       << " |  nQmatch             |  " << setw(14)
       << nQmatch << "  |" << endl
       << " |  clFact              |  " << setw(14)
       << clFact << "  |" << endl
       << " |  Jet algorithm       |  " << setw(14)
       << jetStr << "  |" << endl
       << " |  eTjetMin            |  " << setw(14)
       << eTjetMin << "  |" << endl
       << " |  etaJetMax           |  " << setw(14)
       << etaJetMax << "  |" << endl
       << " |  jetAllow            |  " << setw(14)
       << jetAllow << "  |" << endl
       << " |  Mode                |  " << setw(14)
       << modeStr << "  |" << endl
       << " *-----------------------------------------*" << endl;

  return true;
}

//--------------------------------------------------------------------------

bool JetMatchingMadgraph::doVetoStep(int iPos, int nISR, int nFSR,
  const Event& event)  {

  // Do not perform any veto if not in the Shower-kT scheme.
  if ( !doShowerKt ) return false;

  // Default to no veto in case the hard input matrix element already has too
  // many partons (same as in Pythia6).
  if ( int(typeIdx[0].size()) > nJetMax ) return false;

  // Do nothing for emissions after the first one.
  if ( nISR + nFSR > 1 ) return false;

  // Do nothing in resonance decay showers.
  if (iPos == 5) return false;

  // Clear the event of MPI systems and resonace decay products. Store trimmed
  // event in workEvent.
  sortIncomingProcess(event);

  // Get (kinematical) pT of first emission
  double pTfirst = 0.;
  for (int i = 0; i < workEvent.size(); i++){
    // Since this event only contains one emission, this test is enough
    // to isolate this emission.
    if ( workEvent[i].isFinal()
      && (workEvent[i].statusAbs()==43 || workEvent[i].statusAbs()==51)) {
      // Only check partons originating from QCD splittings.
      int jPos = 1;
      bool QCDemission = true;
      while ( workEvent[jPos].statusAbs() > 23 ) {
        if ( workEvent[jPos].id() == 22 || workEvent[jPos].id() == 23
          || workEvent[jPos].idAbs() == 24){
          QCDemission = false;
          break;
        }
        jPos = workEvent[jPos].mother1();
      }
      // Get kinematical pT.
      if (QCDemission) {
        pTfirst = workEvent[i].pT();
        break;
      }
    }
  }

  // Check veto.
  if ( doShowerKtVeto(pTfirst) ) return true;

  // No veto if come this far.
  return false;

}

//--------------------------------------------------------------------------

bool JetMatchingMadgraph::doShowerKtVeto(double pTfirst) {

  // Only check veto in the shower-kT scheme.
  if ( !doShowerKt ) return false;

  // Reset veto code
  bool doVeto = false;

  // Find the (kinematical) pT of the softest (light) parton in the hard
  // process.	
  int nParton = typeIdx[0].size();
  double pTminME=1e10;	
  for ( int i = 0; i < nParton; ++i)
    pTminME = min(pTminME,eventProcess[typeIdx[0][i]].pT());

  // Veto if the softest hard process parton is below Qcut.
  if ( nParton > 0 && pow(pTminME,2) < qCutSq ) doVeto = true;

  // For non-highest multiplicity, veto if the hardest emission is harder
  // than Qcut.
  if ( exclusive && pow(pTfirst,2) > qCutSq ) {
    doVeto = true;
  // For highest multiplicity sample, veto if the hardest emission is harder
  // than the hard process parton.
  } else if ( !exclusive && nParton > 0 && pTfirst > pTminME ) {
    doVeto = true;	
  }

  // Return veto
  return doVeto;

}

//--------------------------------------------------------------------------

// Step (1): sort the incoming particles

void JetMatchingMadgraph::sortIncomingProcess(const Event &event) {

  // Remove resonance decays from original process and keep only final
  // state. Resonances will have positive status code after this step.
  omitResonanceDecays(eventProcessOrig, true);

  // For FxFx, pre-cluster partons in the event into jets.
  if (doFxFx) {

    // Get final state partons
    eventProcess.clear();
    workEventJet.clear();
    for( int i=0; i < workEvent.size(); ++i) {
      // Original AG+Py6 algorithm explicitly excludes tops,
      // leptons and photons.
      int id = workEvent[i].idAbs();
      if ((id >= ID_LEPMIN && id <= ID_LEPMAX) || id == ID_TOP
        || id == ID_PHOTON || id == 23 || id == 24 || id == 25) {
        eventProcess.append(workEvent[i]);
      } else {
        workEventJet.append(workEvent[i]);
      }
    }

    // Initialize SlowJetHard jet algorithm with current working event
    if (!slowJetHard->setup(workEventJet) ) {
      infoPtr->errorMsg("Warning in JetMatchingMadgraph:sortIncomingProcess"
        ": the SlowJet algorithm failed on setup");
      return;
    }

    // Get matrix element cut scale.
    double localQcutSq = qCutMESq;
    // Cluster in steps to find all hadronic jets at the scale qCutME
    while ( slowJetHard->sizeAll() - slowJetHard->sizeJet() > 0 ) {
      // Done if next step is above qCut
      if( slowJetHard->dNext() > localQcutSq ) break;
      // Done if we're at or below the number of partons in the Born state.
      if( slowJetHard->sizeAll()-slowJetHard->sizeJet() <= nPartonsNow) break;
      slowJetHard->doStep();
    }

    // Construct a master copy of the event containing only the
    // hardest nPartonsNow hadronic clusters. While constructing the event,
    // the parton type (ID_GLUON) and status (98,99) are arbitrary.
    int nJets = slowJetHard->sizeJet();
    int nClus = slowJetHard->sizeAll();
    int nNow = 0;
    for (int i = nJets; i < nClus; ++i) {
      vector parts;
      if (i < nClus-nJets) parts = slowJetHard->clusConstituents(i);
      else parts = slowJetHard->constituents(nClus-nJets-i);
      int flavour = ID_GLUON;
      for(int j=0; j < int(parts.size()); ++j)
        if (workEventJet[parts[j]].id() == ID_BOT)
          flavour = ID_BOT;
      eventProcess.append( flavour, 98,
        workEventJet[parts.back()].mother1(),
        workEventJet[parts.back()].mother2(),
        workEventJet[parts.back()].daughter1(),
        workEventJet[parts.back()].daughter2(),
        0, 0, slowJetHard->p(i).px(), slowJetHard->p(i).py(),
        slowJetHard->p(i).pz(), slowJetHard->p(i).e() );
      nNow++;
    }

    // Done. Clean-up
    workEventJet.clear();

  // For MLM matching, simply take hard process state from workEvent,
  // without any preclustering.
  } else {
    eventProcess = workEvent;
  }

  // Sort original process final state into light/heavy jets and 'other'.
  // Criteria:
  //   1 <= ID <= nQmatch, or ID == 21         --> light jet (typeIdx[0])
  //   nQMatch < ID                            --> heavy jet (typeIdx[1])
  //   All else                                --> other     (typeIdx[2])
  // Note that 'typeIdx' stores indices into 'eventProcess' (after resonance
  // decays are omitted), while 'typeSet' stores indices into the original
  // process record, 'eventProcessOrig', but these indices are also valid
  // in 'event'.
  for (int i = 0; i < 3; i++) {
    typeIdx[i].clear();
    typeSet[i].clear();
    origTypeIdx[i].clear();
  }
  for (int i = 0; i < eventProcess.size(); i++) {
    // Ignore non-final state and default to 'other'
    if (!eventProcess[i].isFinal()) continue;
    int idx = 2;
    int orig_idx = 2;

    // Light jets: all gluons and quarks with id less than or equal to nQmatch
    if (eventProcess[i].id() == ID_GLUON
      || (eventProcess[i].idAbs() <= nQmatch) ) {
      orig_idx = 0;
      // Crucial point: MG puts the scale of a non-QCD particle to eCM. For
      // such particles, we should keep the default "2"
      if ( eventProcess[i].scale() < 1.999*sqrt(infoPtr->eA()*infoPtr->eB()) )
        idx = 0;
    }

    // Heavy jets:  all quarks with id greater than nQmatch
    else if (eventProcess[i].idAbs() > nQmatch
      && eventProcess[i].idAbs() <= ID_TOP) {
      idx = 1;
      orig_idx = 1;

    } else {
      idx = 2;
      orig_idx = 2;
    }

    // Store
    typeIdx[idx].push_back(i);
    typeSet[idx].insert(eventProcess[i].daughter1());
    origTypeIdx[orig_idx].push_back(i);
  }

  // Exclusive mode; if set to 2, then set based on nJet/nJetMax
  if (exclusiveMode == 2) {

    // Inclusive if nJet == nJetMax, exclusive otherwise
    int nParton = origTypeIdx[0].size();
    exclusive = (nParton == nJetMax) ? false : true;

  // Otherwise, just set as given
  } else {
    exclusive = (exclusiveMode == 0) ? false : true;
  }

  // Extract partons from hardest subsystem + ISR + FSR only into
  // workEvent. Note no resonance showers or MPIs.
  subEvent(event);
}

//--------------------------------------------------------------------------

// Step (2a): pick which particles to pass to the jet algorithm

void JetMatchingMadgraph::jetAlgorithmInput(const Event &event, int iType) {

  // Take input from 'workEvent' and put output in 'workEventJet'
  workEventJet = workEvent;

  // Loop over particles and decide what to pass to the jet algorithm
  for (int i = 0; i < workEventJet.size(); ++i) {
    if (!workEventJet[i].isFinal()) continue;

    // jetAllow option to disallow certain particle types
    if (jetAllow == 1) {

      // Original AG+Py6 algorithm explicitly excludes tops,
      // leptons and photons.
      int id = workEventJet[i].idAbs();
      if ((id >= ID_LEPMIN && id <= ID_LEPMAX) || id == ID_TOP
      || id == ID_PHOTON || (id > nQmatch && id!=21)) {
        workEventJet[i].statusNeg();
        continue;
      }
    }

    // Get the index of this particle in original event
    int idx = workEventJet[i].daughter1();

    // Start with particle idx, and afterwards track mothers
    while (true) {

      // Light jets
      if (iType == 0) {

        // Do not include if originates from heavy jet or 'other'
        if (typeSet[1].find(idx) != typeSet[1].end() ||
            typeSet[2].find(idx) != typeSet[2].end()) {
          workEventJet[i].statusNeg();
          break;
        }

        // Made it to start of event record so done
        if (idx == 0) break;
        // Otherwise next mother and continue
        idx = event[idx].mother1();

      // Heavy jets
      } else if (iType == 1) {

        // Only include if originates from heavy jet
        if (typeSet[1].find(idx) != typeSet[1].end()) break;

        // Made it to start of event record with no heavy jet mother,
        // so DO NOT include particle
        if (idx == 0) {
          workEventJet[i].statusNeg();
          break;
        }

        // Otherwise next mother and continue
        idx = event[idx].mother1();

      } // if (iType)
    } // while (true)
  } // for (i)
}

//--------------------------------------------------------------------------

// Step (2b): run jet algorithm and provide common output
// This does nothing, because the jet algorithm is run several times
//  in the matching algorithm.

void JetMatchingMadgraph::runJetAlgorithm() {; }

//--------------------------------------------------------------------------

// Step (2c): veto decision (returning true vetoes the event)

bool JetMatchingMadgraph::matchPartonsToJets(int iType) {

  // Use two different routines for light/heavy jets as
  // different veto conditions and for clarity
  if (iType == 0) return (matchPartonsToJetsLight() > 0);
  else            return (matchPartonsToJetsHeavy() > 0);
}

//--------------------------------------------------------------------------

// Step(2c): light jets
// Return codes are given indicating the reason for a veto.
// Although not currently used, they are a useful debugging tool:
//   0 = no veto
//   1 = veto as number of jets less than number of partons
//   2 = veto as exclusive mode and number of jets greater than
//       number of partons
//   3 = veto as inclusive mode and there would be an extra jet
//       that is harder than any matched soft jet
//   4 = veto as there is a parton which does not match a jet

int JetMatchingMadgraph::matchPartonsToJetsLight() {

  // Count the number of hard partons
  //BUG!! int nParton = origTypeIdx[0].size();
  int nParton = typeIdx[0].size();

  // Initialize SlowJet with current working event
  if (!slowJet->setup(workEventJet) ) {
    infoPtr->errorMsg("Warning in JetMatchingMadgraph:matchPartonsToJets"
      "Light: the SlowJet algorithm failed on setup");
    return NONE;
  }
  double localQcutSq = qCutSq;
  double dOld = 0.0;
  // Cluster in steps to find all hadronic jets at the scale qCut
  while ( slowJet->sizeAll() - slowJet->sizeJet() > 0 ) {
    if( slowJet->dNext() > localQcutSq ) break;
    dOld = slowJet->dNext();
    slowJet->doStep();
  }
  int nJets = slowJet->sizeJet();
  int nClus = slowJet->sizeAll();

  // Debug printout.
  if (MATCHINGDEBUG) slowJet->list(true);

  // Count of the number of hadronic jets in SlowJet accounting
  int nCLjets = nClus - nJets;
  // Get number of partons. Different for MLM and FxFx schemes.
  int nRequested = (doFxFx) ? nPartonsNow : nParton;

  // Veto event if too few hadronic jets
  if ( nCLjets < nRequested ) return LESS_JETS;

  // In exclusive mode, do not allow more hadronic jets than partons
  if ( exclusive && !doFxFx ) {
    if ( nCLjets > nRequested ) return MORE_JETS;
  } else {

    // For FxFx, in the non-highest multipicity, all jets need to matched to
    // partons. For nCLjets > nRequested, this is not possible. Hence, we can
    // veto here already.
    if ( doFxFx && nRequested < nJetMax && nCLjets > nRequested )
      return MORE_JETS;

    // Now continue in inclusive mode.
    // In inclusive mode, there can be more hadronic jets than partons,
    // provided that all partons are properly matched to hadronic jets.
    // Start by setting up the jet algorithm.
    if (!slowJet->setup(workEventJet) ) {
      infoPtr->errorMsg("Warning in JetMatchingMadgraph:matchPartonsToJets"
        "Light: the SlowJet algorithm failed on setup");
      return NONE;
    }

    // For FxFx, continue clustering as long as the jet separation is above
    // qCut.
    if (doFxFx) {
      while ( slowJet->sizeAll() - slowJet->sizeJet() > 0 ) {
        if( slowJet->dNext() > localQcutSq ) break;
        slowJet->doStep();
      }
    // For MLM, cluster into hadronic jets until there are the same number as
    // partons.
    } else {
      while ( slowJet->sizeAll() - slowJet->sizeJet() > nParton )
        slowJet->doStep();
    }

    // Sort partons in pT.  Update local qCut value.
    //  Hadronic jets are already sorted in pT.
    localQcutSq = dOld;
    if ( clFact >= 0. && nParton > 0 ) {
       vector partonPt;
       for (int i = 0; i < nParton; ++i)
         partonPt.push_back( eventProcess[typeIdx[0][i]].pT2() );
       sort( partonPt.begin(), partonPt.end());
       localQcutSq = max( qCutSq, partonPt[0]);
    }
    nJets = slowJet->sizeJet();
    nClus = slowJet->sizeAll();
  }
  // Update scale if clustering factor is non-zero
  if ( clFact != 0. ) localQcutSq *= pow2(clFact);

  Event tempEvent;
  tempEvent.init( "(tempEvent)", particleDataPtr);
  int nPass = 0;
  double pTminEstimate = -1.;
  // Construct a master copy of the event containing only the
  // hardest nParton hadronic clusters. While constructing the event,
  // the parton type (ID_GLUON) and status (98,99) are arbitrary.
  for (int i = nJets; i < nClus; ++i) {
    tempEvent.append( ID_GLUON, 98, 0, 0, 0, 0, 0, 0, slowJet->p(i).px(),
      slowJet->p(i).py(), slowJet->p(i).pz(), slowJet->p(i).e() );
    ++nPass;
    pTminEstimate = max( pTminEstimate, slowJet->pT(i));
    if(nPass == nRequested) break;
  }

  int tempSize = tempEvent.size();
  // This keeps track of which hadronic jets are matched to parton
  vector jetAssigned;
  jetAssigned.assign( tempSize, false);

  // This keeps track of which partons are matched to which hadronic
  // jets.
  vector< vector > partonMatchesJet;
  for (int i=0; i < nParton; ++i )
    partonMatchesJet.push_back( vector(tempEvent.size(),false) );

  // Begin matching.
  // Do jet matching for FxFx.
  // Make sure that the nPartonsNow hardest hadronic jets are matched to any
  // of the nPartonsNow (+1) partons. This matching is done by attaching a jet
  // from the list of unmatched hadronic jets, and appending a jet from the
  // list of partonic jets, one at a time. The partonic jet will be clustered
  // with the hadronic jet or the beam if the distance measure is below the
  // cut. The hadronic jet is matched once this happens. Otherwise, another
  // partonic jet is tried. When a hadronic jet is matched to a partonic jet,
  // it is removed from the list of unmatched hadronic jets. This process
  // continues until the nPartonsNow hardest hadronic jets are matched to
  // partonic jets, or it is not possible to make a match for a hadronic jet.
  int iNow = 0;
  while ( doFxFx && iNow < tempSize ) {
 
    // Check if this shower jet matches any partonic jet.
    Event tempEventJet;
    tempEventJet.init("(tempEventJet)", particleDataPtr);
    for (int i=0; i < nParton; ++i ) {

      //// Only assign a parton once.
      //for (int j=0; j < tempSize; ++j )
      //  if ( partonMatchesJet[i][j]) continue;

      // Attach a single hadronic jet.
      tempEventJet.clear();
      tempEventJet.append( ID_GLUON, 98, 0, 0, 0, 0, 0, 0,
        tempEvent[iNow].px(), tempEvent[iNow].py(),
        tempEvent[iNow].pz(), tempEvent[iNow].e() );
      // Attach the current parton.
      Vec4 pIn = eventProcess[typeIdx[0][i]].p();
      tempEventJet.append( ID_GLUON, 99, 0, 0, 0, 0, 0, 0,
        pIn.px(), pIn.py(), pIn.pz(), pIn.e() );

      // Setup jet algorithm.
      if ( !slowJet->setup(tempEventJet) ) {
        infoPtr->errorMsg("Warning in JetMatchingMadgraph:matchPartonsToJets"
          "Light: the SlowJet algorithm failed on setup");
        return NONE;
      }

      // These are the conditions for the hadronic jet to match the parton
      //  at the local qCut scale
      if ( slowJet->iNext() == tempEventJet.size() - 1
        && slowJet->jNext() > -1 && slowJet->dNext() < localQcutSq ) {
        jetAssigned[iNow] = true;
        partonMatchesJet[i][iNow] = true;
      }

    } // End loop over hard partons.

    // Veto if the jet could not be assigned to any parton.
    if ( !jetAssigned[iNow] ) return UNMATCHED_PARTON;

    // Continue;
    ++iNow;
  }

  // Do jet matching for MLM.
  // Take the list of unmatched hadronic jets and append a parton, one at
  // a time. The parton will be clustered with the "closest" hadronic jet
  // or the beam if the distance measure is below the cut. When a hadronic
  // jet is matched to a parton, it is removed from the list of unmatched
  // hadronic jets. This process continues until all hadronic jets are
  // matched to partons or it is not possible to make a match.
  iNow = 0;
  while (!doFxFx && iNow < nParton ) {
    Event tempEventJet;
    tempEventJet.init("(tempEventJet)", particleDataPtr);
    for (int i = 0; i < tempSize; ++i) {
      if (jetAssigned[i]) continue;
      Vec4 pIn = tempEvent[i].p();
      // Append unmatched hadronic jets
      tempEventJet.append( ID_GLUON, 98, 0, 0, 0, 0, 0, 0,
        pIn.px(), pIn.py(), pIn.pz(), pIn.e() );
    }

    Vec4 pIn = eventProcess[typeIdx[0][iNow]].p();
    // Append the current parton
    tempEventJet.append( ID_GLUON, 99, 0, 0, 0, 0, 0, 0,
      pIn.px(), pIn.py(), pIn.pz(), pIn.e() );
    if ( !slowJet->setup(tempEventJet) ) {
      infoPtr->errorMsg("Warning in JetMatchingMadgraph:matchPartonsToJets"
        "Light: the SlowJet algorithm failed on setup");
      return NONE;
    }
    // These are the conditions for the hadronic jet to match the parton
    //  at the local qCut scale
    if ( slowJet->iNext() == tempEventJet.size() - 1
      && slowJet->jNext() > -1 && slowJet->dNext() < localQcutSq ) {
      int iKnt = -1;
      for (int i = 0; i != tempSize; ++i) {
        if (jetAssigned[i]) continue;
        ++iKnt;
        // Identify the hadronic jet that matches the parton
        if (iKnt == slowJet->jNext() ) jetAssigned[i] = true;
      }
    } else {
      return UNMATCHED_PARTON;
    }
    ++iNow;
  }

  // Minimal eT/pT (CellJet/SlowJet) of matched light jets.
  // Needed later for heavy jet vetos in inclusive mode.
  // This information is not used currently.
  if (nParton > 0 && pTminEstimate > 0) eTpTlightMin = pTminEstimate;
  else eTpTlightMin = -1.;

  // No veto
  return NONE;
}

//--------------------------------------------------------------------------

// Step(2c): heavy jets
// Return codes are given indicating the reason for a veto.
// Although not currently used, they are a useful debugging tool:
//   0 = no veto as there are no extra jets present
//   1 = veto as in exclusive mode and extra jets present
//   2 = veto as in inclusive mode and extra jets were harder
//       than any matched light jet

int JetMatchingMadgraph::matchPartonsToJetsHeavy() {

  // Currently, heavy jets are unmatched
  // If there are no extra jets, then accept
  if (jetMomenta.empty()) return NONE;

  // No extra jets were present so no veto
  return NONE;
}

//==========================================================================

#endif // end Pythia8_JetMatching_H
pythia8-8.1.86.orig/examples/main87.cmnd0000644000175000017500000000276412357054702016141 0ustar  sunsun! main87.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// Number of events generated
Main:numberOfEvents      = 1000

// Shower options
HadronLevel:all           = on
PartonLevel:MPI           = on

// Core process for merging
Merging:Process           = pp>LEPTONS,NEUTRINOS

// Maximal number of additional LO jets.
Merging:nJetMax           = 2
// Maximal number of additional NLO jets.
Merging:nJetMaxNLO        = 1

// Merging scale value.
Merging:TMS               = 15

// Values of (fixed) scales in the matrix element calculation.
Merging:muFacInME         = 80.4
Merging:muRenInME         = 91.188
// Values of (fixed) scales for the PS lowest multiplicity process.
Merging:muFac             = 80.4
Merging:muRen             = 91.188

// Include PDFs into the choice of histories.
Merging:includeRedundant  = on

// Switch off enforced rapidity ordering
SpaceShower:rapidityOrder = off

// Since NL3 is a next-to-leading order merging method, next-to-leading
// order PDFs are necessary. However, the parton shower and multiparton
// interactions favour leading-order PDFs, since multiparton interactions
// probe the incoming hadron at small momentum scales. Until a NLO-merged
// tune becomes available, NLO PDFs should be used throughout.
// Example PDF files generated with CTEQ6M PDFs.
PDF:useLHAPDF             = on
PDF:LHAPDFset             = cteq6m.LHpdf
SpaceShower:alphaSvalue   = 0.118
TimeShower:alphaSvalue    = 0.118
pythia8-8.1.86.orig/examples/main52.cc0000644000175000017500000002037312357054701015570 0ustar  sunsun// main52.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Studies of hadron-level and parton-level minimum-bias quantities,
// comparing internal default PDF with one from LHAPDF.
// Major differences indicate need for major retuning, e.g. pT0Ref.

// Access time information.
#include 

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Machine: 1 = Tevatron, 2 = LHC. Statistics.
  int machine = 1;
  int nEvent  = 10000;

  // Select new PDF set; LHAPDF file name conventions.
  //string pdfSet = "cteq5l.LHgrid";
  //string pdfSet = "cteq61.LHpdf";
  //string pdfSet = "cteq61.LHgrid";
  //string pdfSet = "MRST2004nlo.LHgrid";
  string pdfSet = "MRST2001lo.LHgrid";

  // Histograms for hadron-level quantities.
  double nMax = (machine == 1) ? 199.5 : 399.5;
  Hist nChargedOld("n_charged old PDF", 100, -0.5, nMax);
  Hist nChargedNew("n_charged new PDF", 100, -0.5, nMax);
  Hist nChargedRat("n_charged new/old PDF", 100, -0.5, nMax);
  Hist ySpecOld("y charged distribution old PDF", 100, -10., 10.);
  Hist ySpecNew("y charged distribution new PDF", 100, -10., 10.);
  Hist ySpecRat("y charged distribution new/old PDF", 100, -10., 10.);
  Hist pTSpecOld("pT charged distribution old PDF", 100, 0., 20.);
  Hist pTSpecNew("pT charged distribution new PDF", 100, 0., 20.);
  Hist pTSpecRat("pT charged distribution new/old PDF", 100, 0., 20.);
  Hist avgPTnChOld("(n_charged) old PDF", 100, -0.5, nMax);
  Hist avgPTnChNew("(n_charged) new PDF", 100, -0.5, nMax);
  Hist avgPTnChRat("(n_charged) new/old PDF", 100, -0.5, nMax);

  // Histograms for parton-level quantities.
  Hist xDistOld("MPI log(x) distribution old PDF", 80, -8., 0.);
  Hist xDistNew("MPI log(x) distribution new PDF", 80, -8., 0.);
  Hist xDistRat("MPI log(x) distribution new/old PDF", 80, -8., 0.);
  Hist pTDistOld("MPI pT (=Q) distribution old PDF", 100, 0., 20.);
  Hist pTDistNew("MPI pT (=Q) distribution new PDF", 100, 0., 20.);
  Hist pTDistRat("MPI pT (=Q) distribution new/old PDF", 100, 0., 20.);

  // Loop over one default run and one with new PDF.
  for (int iRun = 0; iRun < 2; ++iRun) {

    // Get starting time in seconds.
    time_t tBegin = time(0);

    // Generator.
    Pythia pythia;
    Event& event = pythia.event;

    // Generate minimum-bias events, with or without double diffraction.
    pythia.readString("SoftQCD:nonDiffractive = on");
    //pythia.readString("SoftQCD:doubleDiffractive = on");

    // Generate QCD jet events, above some threshold.
    //pythia.readString("HardQCD:all = on");
    //pythia.readString("PhaseSpace:pTHatMin = 50.");

    // In second run pick new PDF set.
    if (iRun == 1) {
      pythia.readString("PDF:useLHAPDF = on");
      pythia.readString("PDF:LHAPDFset = " + pdfSet);

     // Allow extrapolation of PDF's beyond x and Q2 boundaries, at own risk.
     // Default behaviour is to freeze PDF's at boundaries.
     pythia.readString("PDF:extrapolateLHAPDF = on");

      // Need to change pT0Ref depending on choice of PDF.
      // One possibility: retune to same .
      //pythia.readString("MultipartonInteractions:pT0Ref = 2.17");
    }

    // Tevatron/LHC initialization.
    double eCM =  (machine == 1) ? 1960. : 7000.;
    pythia.settings.parm("Beams:eCM", eCM);
    if (machine == 1) pythia.readString("Beams:idB = -2212");
    pythia.init();
   
    // Begin event loop.
    for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

      // Generate events.  Skip if error.
      if (!pythia.next()) continue;

      // Statistics on multiplicity and pT.
      int    nCh   = 0;
      double pTsum = 0.;
      for (int i = 0; i < event.size(); ++i)
      if (event[i].isFinal() && event[i].isCharged()) {
        ++nCh;
        pTsum += event[i].pT();

        // Fill histograms for charged y and pT spectra.
        if (iRun == 0) {
          ySpecOld.fill( event[i].y() );
          pTSpecOld.fill( event[i].pT() );
        } else {
          ySpecNew.fill( event[i].y() );
          pTSpecNew.fill( event[i].pT()  );
        }
      }
      
      // Fill histograms for summed quantities.
      if (iRun == 0) {
        nChargedOld.fill( nCh );
        avgPTnChOld.fill( nCh, pTsum / max(1, nCh) );
      } else {
        nChargedNew.fill( nCh );
        avgPTnChNew.fill( nCh, pTsum / max(1, nCh) );
      }

      // Loop through event record and fill x of all incoming partons.
      for (int i = 1; i < event.size(); ++i)
      if (event[i].status() == -21 || event[i].status() == -31) {
        double x = 2. * event[i].e() / eCM;
        if (iRun == 0) xDistOld.fill( log10(x) );
        else           xDistNew.fill( log10(x) );
      }

      // Loop through multiparton interactions list and fill pT of all MPI's.
      for (int i = 0; i < pythia.info.nMPI(); ++i) {
        double pT = pythia.info.pTMPI(i);
        if (iRun == 0) pTDistOld.fill( pT );
        else           pTDistNew.fill( pT );
      }

    // End of event loop.
    }

    // Statistics.
    pythia.readString("Stat:showPartonLevel = on");
    pythia.stat();

    // Get finishing time in seconds. Print used time.
    time_t tEnd = time(0);
    cout << "\n This subrun took " << tEnd - tBegin << " seconds \n" << endl;

  // End of loop over two runs.
  }

  // Form (n_charged) ratios.
  avgPTnChOld /= nChargedOld;
  avgPTnChNew /= nChargedNew;

  // Take ratios of new to old distributions.
  nChargedRat  = nChargedNew / nChargedOld;
  ySpecRat     = ySpecNew    / ySpecOld;
  pTSpecRat    = pTSpecNew    / pTSpecOld;
  avgPTnChRat  = avgPTnChNew / avgPTnChOld;
  xDistRat     = xDistNew    / xDistOld;
  pTDistRat    = pTDistNew   / pTDistOld;

  // Print histograms.
  cout << nChargedOld << nChargedNew << nChargedRat
       << ySpecOld    << ySpecNew    << ySpecRat
       << pTSpecOld   << pTSpecNew   << pTSpecRat
       << avgPTnChOld << avgPTnChNew << avgPTnChRat
       << xDistOld    << xDistNew    << xDistRat
       << pTDistOld   << pTDistNew   << pTDistRat;

  // Second part of study, as simple extra check:
  // Begin fill shape of effective PDF at typical MPI Q2 = 10 scale:
  // F_effective(x) = (9/4) x*g(x) + Sum_i (x*q_i(x) + x*qbar_i(x)).
  double Q2 = 10.;
  PDF* oldPDF = new CTEQ5L(2212);
  PDF* newPDF = new LHAPDF(2212, pdfSet, 0);

  // Histograms.
  Hist effFlinOld("F_effective( x, Q2 = 10) old", 100 , 0., 1.);
  Hist effFlinNew("F_effective( x, Q2 = 10) new", 100 , 0., 1.);
  Hist effFlinRat("F_effective( x, Q2 = 10) new/old", 100 , 0., 1.);
  Hist effFlogOld("F_effective( x, Q2 = 10) old", 80 , -8., 0.);
  Hist effFlogNew("F_effective( x, Q2 = 10) new", 80 , -8., 0.);
  Hist effFlogRat("F_effective( x, Q2 = 10) new/old", 80 , -8., 0.);
    
  // Loop over x values, in a linear scale.
  for (int iX = 0; iX < 99; ++iX) {
    double x = 0.005 + 0.01 * iX;

    // Evaluate old summed PDF.
    double oldSum = 2.25 * oldPDF->xf( 21, x, Q2);
    for (int i = 1; i < 6; ++i)
      oldSum += oldPDF->xf( i, x, Q2) + oldPDF->xf( -i, x, Q2);
    effFlinOld.fill ( x, oldSum );

    // Evaluate new summed PDF.
    double newSum = 2.25 * newPDF->xf( 21, x, Q2);
    for (int i = 1; i < 6; ++i)
      newSum += newPDF->xf( i, x, Q2) + newPDF->xf( -i, x, Q2);
    effFlinNew.fill ( x, newSum );

  //End loop over x values, in a linear scale.
  }
    
  // Loop over x values, in a logarithmic scale
  for (int iX = 0; iX < 80; ++iX) {
    double xLog = -(0.1 * iX + 0.05);
    double x = pow( 10., xLog);

    // Evaluate old summed PDF.
    double oldSum = 2.25 * oldPDF->xf( 21, x, Q2);
    for (int i = 1; i < 6; ++i)
      oldSum += oldPDF->xf( i, x, Q2) + oldPDF->xf( -i, x, Q2);
    effFlogOld.fill ( xLog, oldSum );

    // Evaluate new summed PDF.
    double newSum = 2.25 * newPDF->xf( 21, x, Q2);
    for (int i = 1; i < 6; ++i)
      newSum += newPDF->xf( i, x, Q2) + newPDF->xf( -i, x, Q2);
    effFlogNew.fill ( xLog, newSum );

  //End loop over x values, in a logarithmic scale.
  }

  // Take ratios of new to old distributions.
  effFlinRat   = effFlinNew  / effFlinOld;
  effFlogRat   = effFlogNew  / effFlogOld;

  // Print histograms.
  cout << effFlinOld  << effFlinNew  << effFlinRat
       << effFlogOld  << effFlogNew  << effFlogRat;

  // Done.
  delete oldPDF;
  delete newPDF;
  return 0;
}
pythia8-8.1.86.orig/examples/main32.cc0000644000175000017500000000400012357054677015567 0ustar  sunsun// main32.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a sample program showing Alpgen- or Madgraph-style MLM matching
// for Madgraph LHEF or native Alpgen format event files.
//
// Please see the 'Jet Matching Style' manual page for a description of the
// parameters and user options.

// Includes and namespace
#include "Pythia8/Pythia.h"
#include "CombineMatchingInput.h"
using namespace Pythia8;

//==========================================================================

int main() {
 
 // Generator and read in commands.
  Pythia pythia;
  pythia.readFile("main32.cmnd");

  // Extract settings to be used in the main program.
  int nEvent = pythia.mode("Main:numberOfEvents");
  int nAbort = pythia.mode("Main:timesAllowErrors");
  int nSkip  = pythia.mode("Main:spareMode1");

  // Create UserHooks pointer. Stop if it failed. Pass pointer to Pythia.
  CombineMatchingInput combined;
  UserHooks* matching = combined.getHook(pythia);
  if (!matching) return 1;
  pythia.setUserHooksPtr(matching);

  // Initialise Pythia.
  if (!pythia.init()) {
    cout << "Error: could not initialise Pythia" << endl;
    return 1;
  };

  // Optionally skip ahead in LHEF.
  pythia.LHAeventSkip( nSkip );

  // Begin event loop. Optionally quit it before end of file.
  int iAbort = 0;
  for (int iEvent = 0; ;  ++iEvent) {
    if (nEvent > 0 && iEvent >= nEvent) break;

    // Generate events. Quit if at end of file or many failures.
    if (!pythia.next()) {
      if (pythia.info.atEndOfFile()) {
        cout << "Info: end of input file reached" << endl;
        break;
      }
      if (++iAbort < nAbort) continue;
      cout << "Abort: too many errors in generation" << endl;
      break;
    }

    // Event analysis goes here.

  // End of event loop.
  }

  // Final statistics and done.
  pythia.stat();
  delete matching;

  return 0;
}
pythia8-8.1.86.orig/examples/main31.cc0000644000175000017500000005062512357054677015604 0ustar  sunsun// main31.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Richard Corke, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

#include "Pythia8/Pythia.h"
using namespace Pythia8;

//==========================================================================

// Use userhooks to veto PYTHIA emissions above the POWHEG scale.

class PowhegHooks : public UserHooks {

public:

  // Constructor and destructor.
   PowhegHooks(int nFinalIn, int vetoModeIn, int vetoCountIn,
               int pThardModeIn, int pTemtModeIn, int emittedModeIn,
               int pTdefModeIn, int MPIvetoModeIn) : nFinal(nFinalIn),
               vetoMode(vetoModeIn), vetoCount(vetoCountIn),
               pThardMode(pThardModeIn), pTemtMode(pTemtModeIn),
               emittedMode(emittedModeIn), pTdefMode(pTdefModeIn),
               MPIvetoMode(MPIvetoModeIn) {};
  ~PowhegHooks() {}

//--------------------------------------------------------------------------

  // Routines to calculate the pT (according to pTdefMode) in a splitting:
  //   ISR: i (radiator after)  -> j (emitted after) k (radiator before)
  //   FSR: i (radiator before) -> j (emitted after) k (radiator after)
  // For the Pythia pT definition, a recoiler (after) must be specified.

  // Compute the Pythia pT separation. Based on pTLund function in History.cc
  double pTpythia(const Event &e, int RadAfterBranch, int EmtAfterBranch,
                  int RecAfterBranch, bool FSR) {

    // Convenient shorthands for later
    Vec4 radVec = e[RadAfterBranch].p();
    Vec4 emtVec = e[EmtAfterBranch].p();
    Vec4 recVec = e[RecAfterBranch].p();
    int  radID  = e[RadAfterBranch].id();

    // Calculate virtuality of splitting
    double sign = (FSR) ? 1. : -1.;
    Vec4 Q(radVec + sign * emtVec);
    double Qsq = sign * Q.m2Calc();

    // Mass term of radiator
    double m2Rad = (abs(radID) >= 4 && abs(radID) < 7) ?
                   pow2(particleDataPtr->m0(radID)) : 0.;

    // z values for FSR and ISR
    double z, pTnow;
    if (FSR) {
      // Construct 2 -> 3 variables
      Vec4 sum = radVec + recVec + emtVec;
      double m2Dip = sum.m2Calc();
      double x1 = 2. * (sum * radVec) / m2Dip;
      double x3 = 2. * (sum * emtVec) / m2Dip;
      z     = x1 / (x1 + x3);
      pTnow = z * (1. - z);

    } else {
      // Construct dipoles before/after splitting
      Vec4 qBR(radVec - emtVec + recVec);
      Vec4 qAR(radVec + recVec);
      z     = qBR.m2Calc() / qAR.m2Calc();
      pTnow = (1. - z);
    }

    // Virtuality with correct sign
    pTnow *= (Qsq - sign * m2Rad);

    // Can get negative pT for massive splittings
    if (pTnow < 0.) {
      cout << "Warning: pTpythia was negative" << endl;
      return -1.;
    }

#ifdef DBGOUTPUT
    cout << "pTpythia: rad = " << RadAfterBranch << ", emt = "
         << EmtAfterBranch << ", rec = " << RecAfterBranch
         << ", pTnow = " << sqrt(pTnow) << endl;
#endif

    // Return pT
    return sqrt(pTnow);
  }

  // Compute the POWHEG pT separation between i and j
  double pTpowheg(const Event &e, int i, int j, bool FSR) {

    // pT value for FSR and ISR
    double pTnow = 0.;
    if (FSR) {
      // POWHEG d_ij (in CM frame). Note that the incoming beams have not
      // been updated in the parton systems pointer yet (i.e. prior to any
      // potential recoil).
      int iInA = partonSystemsPtr->getInA(0);
      int iInB = partonSystemsPtr->getInB(0);
      double betaZ = - ( e[iInA].pz() + e[iInB].pz() ) /
                       ( e[iInA].e()  + e[iInB].e()  );
      Vec4 iVecBst(e[i].p()), jVecBst(e[j].p());
      iVecBst.bst(0., 0., betaZ);
      jVecBst.bst(0., 0., betaZ);
      pTnow = sqrt( (iVecBst + jVecBst).m2Calc() *
                    iVecBst.e() * jVecBst.e() /
                    pow2(iVecBst.e() + jVecBst.e()) );

    } else {
      // POWHEG pT_ISR is just kinematic pT
      pTnow = e[j].pT();
    }

    // Check result
    if (pTnow < 0.) {
      cout << "Warning: pTpowheg was negative" << endl;
      return -1.;
    }

#ifdef DBGOUTPUT
    cout << "pTpowheg: i = " << i << ", j = " << j
         << ", pTnow = " << pTnow << endl;
#endif

    return pTnow;
  }

  // Calculate pT for a splitting based on pTdefMode.
  // If j is -1, all final-state partons are tried.
  // If i, k, r and xSR are -1, then all incoming and outgoing
  // partons are tried.
  // xSR set to 0 means ISR, while xSR set to 1 means FSR
  double pTcalc(const Event &e, int i, int j, int k, int r, int xSRin) {

    // Loop over ISR and FSR if necessary
    double pTemt = -1., pTnow;
    int xSR1 = (xSRin == -1) ? 0 : xSRin;
    int xSR2 = (xSRin == -1) ? 2 : xSRin + 1;
    for (int xSR = xSR1; xSR < xSR2; xSR++) {
      // FSR flag
      bool FSR = (xSR == 0) ? false : true;

      // If all necessary arguments have been given, then directly calculate.
      // POWHEG ISR and FSR, need i and j.
      if ((pTdefMode == 0 || pTdefMode == 1) && i > 0 && j > 0) {
        pTemt = pTpowheg(e, i, j, (pTdefMode == 0) ? false : FSR);

      // Pythia ISR, need i, j and r.
      } else if (!FSR && pTdefMode == 2 && i > 0 && j > 0 && r > 0) {
        pTemt = pTpythia(e, i, j, r, FSR);

      // Pythia FSR, need k, j and r.
      } else if (FSR && pTdefMode == 2 && j > 0 && k > 0 && r > 0) {
        pTemt = pTpythia(e, k, j, r, FSR);

      // Otherwise need to try all possible combintations.
      } else {
        // Start by finding incoming legs to the hard system after
        // branching (radiator after branching, i for ISR).
        // Use partonSystemsPtr to find incoming just prior to the
        // branching and track mothers.
        int iInA = partonSystemsPtr->getInA(0);
        int iInB = partonSystemsPtr->getInB(0);
        while (e[iInA].mother1() != 1) { iInA = e[iInA].mother1(); }
        while (e[iInB].mother1() != 2) { iInB = e[iInB].mother1(); }

        // If we do not have j, then try all final-state partons
        int jNow = (j > 0) ? j : 0;
        int jMax = (j > 0) ? j + 1 : e.size();
        for (; jNow < jMax; jNow++) {

          // Final-state and coloured jNow only
          if (!e[jNow].isFinal() || e[jNow].colType() == 0) continue;

          // POWHEG
          if (pTdefMode == 0 || pTdefMode == 1) {

            // ISR - only done once as just kinematical pT
            if (!FSR) {
              pTnow = pTpowheg(e, iInA, jNow, (pTdefMode == 0) ? false : FSR);
              if (pTnow > 0.) pTemt = (pTemt < 0) ? pTnow : min(pTemt, pTnow);
  
              // FSR - try all outgoing partons from system before branching
              // as i. Note that for the hard system, there is no
              // "before branching" information.
              } else {
    
                int outSize = partonSystemsPtr->sizeOut(0);
                for (int iMem = 0; iMem < outSize; iMem++) {
                  int iNow = partonSystemsPtr->getOut(0, iMem);

                  // Coloured only, i != jNow and no carbon copies
                  if (iNow == jNow || e[iNow].colType() == 0) continue;
                  if (jNow == e[iNow].daughter1()
                    && jNow == e[iNow].daughter2()) continue;

                  pTnow = pTpowheg(e, iNow, jNow, (pTdefMode == 0)
                    ? false : FSR);
                  if (pTnow > 0.) pTemt = (pTemt < 0)
                    ? pTnow : min(pTemt, pTnow);
                } // for (iMem)
  
              } // if (!FSR)
  
          // Pythia
          } else if (pTdefMode == 2) {
  
            // ISR - other incoming as recoiler
            if (!FSR) {
              pTnow = pTpythia(e, iInA, jNow, iInB, FSR);
              if (pTnow > 0.) pTemt = (pTemt < 0) ? pTnow : min(pTemt, pTnow);
              pTnow = pTpythia(e, iInB, jNow, iInA, FSR);
              if (pTnow > 0.) pTemt = (pTemt < 0) ? pTnow : min(pTemt, pTnow);
  
            // FSR - try all final-state coloured partons as radiator
            //       after emission (k).
            } else {
              for (int kNow = 0; kNow < e.size(); kNow++) {
                if (kNow == jNow || !e[kNow].isFinal() ||
                    e[kNow].colType() == 0) continue;
  
                // For this kNow, need to have a recoiler.
                // Try two incoming.
                pTnow = pTpythia(e, kNow, jNow, iInA, FSR);
                if (pTnow > 0.) pTemt = (pTemt < 0)
                  ? pTnow : min(pTemt, pTnow);
                pTnow = pTpythia(e, kNow, jNow, iInB, FSR);
                if (pTnow > 0.) pTemt = (pTemt < 0)
                  ? pTnow : min(pTemt, pTnow);

                // Try all other outgoing.
                for (int rNow = 0; rNow < e.size(); rNow++) {
                  if (rNow == kNow || rNow == jNow ||
                      !e[rNow].isFinal() || e[rNow].colType() == 0) continue;
                  pTnow = pTpythia(e, kNow, jNow, rNow, FSR);
                  if (pTnow > 0.) pTemt = (pTemt < 0)
                    ? pTnow : min(pTemt, pTnow);
                } // for (rNow)
  
              } // for (kNow)
            } // if (!FSR)
          } // if (pTdefMode)
        } // for (j)
      }
    } // for (xSR)

#ifdef DBGOUTPUT
    cout << "pTcalc: i = " << i << ", j = " << j << ", k = " << k
         << ", r = " << r << ", xSR = " << xSRin
         << ", pTemt = " << pTemt << endl;
#endif

    return pTemt;
  }

//--------------------------------------------------------------------------

  // Extraction of pThard based on the incoming event.
  // Assume that all the final-state particles are in a continuous block
  // at the end of the event and the final entry is the POWHEG emission.
  // If there is no POWHEG emission, then pThard is set to SCALUP.

  bool canVetoMPIStep()    { return true; }
  int  numberVetoMPIStep() { return 1; }
  bool doVetoMPIStep(int nMPI, const Event &e) {
    // Extra check on nMPI
    if (nMPI > 1) return false;

    // Find if there is a POWHEG emission. Go backwards through the
    // event record until there is a non-final particle. Also sum pT and
    // find pT_1 for possible MPI vetoing
    int    count = 0;
    double pT1 = 0., pTsum = 0.;
    for (int i = e.size() - 1; i > 0; i--) {
      if (e[i].isFinal()) {
        count++;
        pT1    = e[i].pT();
        pTsum += e[i].pT();
      } else break;
    }
    // Extra check that we have the correct final state
    if (count != nFinal && count != nFinal + 1) {
      cout << "Error: wrong number of final state particles in event" << endl;
      exit(1);
    }
    // Flag if POWHEG radiation present and index
    bool isEmt = (count == nFinal) ? false : true;
    int  iEmt  = (isEmt) ? e.size() - 1 : -1;

    // If there is no radiation or if pThardMode is 0 then set pThard = SCALUP.
    if (!isEmt || pThardMode == 0) {
      pThard = infoPtr->scalup();
      
    // If pThardMode is 1 then the pT of the POWHEG emission is checked against
    // all other incoming and outgoing partons, with the minimal value taken
    } else if (pThardMode == 1) {
      pThard = pTcalc(e, -1, iEmt, -1, -1, -1);

    // If pThardMode is 2, then the pT of all final-state partons is checked
    // against all other incoming and outgoing partons, with the minimal value
    // taken
    } else if (pThardMode == 2) {
      pThard = pTcalc(e, -1, -1, -1, -1, -1);
    }

    // Find MPI veto pT if necessary
    if (MPIvetoMode == 1) {
      pTMPI = (isEmt) ? pTsum / 2. : pT1;
    }

#ifdef DBGOUTPUT
    cout << "doVetoMPIStep: Qfac = " << infoPtr->scalup()
         << ", pThard = " << pThard << endl << endl;
#endif

    // Initialise other variables
    accepted   = false;
    nAcceptSeq = nISRveto = nFSRveto = 0;

    // Do not veto the event
    return false;
  }

//--------------------------------------------------------------------------

  // ISR veto

  bool canVetoISREmission() { return (vetoMode == 0) ? false : true; }
  bool doVetoISREmission(int, const Event &e, int iSys) {
    // Must be radiation from the hard system
    if (iSys != 0) return false;

    // If we already have accepted 'vetoCount' emissions in a row, do nothing
    if (vetoMode == 1 && nAcceptSeq >= vetoCount) return false;

    // Pythia radiator after, emitted and recoiler after.
    int iRadAft = -1, iEmt = -1, iRecAft = -1;
    for (int i = e.size() - 1; i > 0; i--) {
      if      (iRadAft == -1 && e[i].status() == -41) iRadAft = i;
      else if (iEmt    == -1 && e[i].status() ==  43) iEmt    = i;
      else if (iRecAft == -1 && e[i].status() == -42) iRecAft = i;
      if (iRadAft != -1 && iEmt != -1 && iRecAft != -1) break;
    }
    if (iRadAft == -1 || iEmt == -1 || iRecAft == -1) {
      e.list();
      cout << "Error: couldn't find Pythia ISR emission" << endl;
      exit(1);
    }

    // pTemtMode == 0: pT of emitted w.r.t. radiator
    // pTemtMode == 1: min(pT of emitted w.r.t. all incoming/outgoing)
    // pTemtMode == 2: min(pT of all outgoing w.r.t. all incoming/outgoing)
    int xSR      = (pTemtMode == 0) ? 0       : -1;
    int i        = (pTemtMode == 0) ? iRadAft : -1;
    int j        = (pTemtMode != 2) ? iEmt    : -1;
    int k        = -1;
    int r        = (pTemtMode == 0) ? iRecAft : -1;
    double pTemt = pTcalc(e, i, j, k, r, xSR);

#ifdef DBGOUTPUT
    cout << "doVetoISREmission: pTemt = " << pTemt << endl << endl;
#endif

    // Veto if pTemt > pThard
    if (pTemt > pThard) {
      nAcceptSeq = 0;
      nISRveto++;
      return true;
    }

    // Else mark that an emission has been accepted and continue
    nAcceptSeq++;
    accepted = true;
    return false;
  }

//--------------------------------------------------------------------------

  // FSR veto

  bool canVetoFSREmission() { return (vetoMode == 0) ? false : true; }
  bool doVetoFSREmission(int, const Event &e, int iSys, bool) {
    // Must be radiation from the hard system
    if (iSys != 0) return false;

    // If we already have accepted 'vetoCount' emissions in a row, do nothing
    if (vetoMode == 1 && nAcceptSeq >= vetoCount) return false;

    // Pythia radiator (before and after), emitted and recoiler (after)
    int iRecAft = e.size() - 1;
    int iEmt    = e.size() - 2;
    int iRadAft = e.size() - 3;
    int iRadBef = e[iEmt].mother1();
    if ( (e[iRecAft].status() != 52 && e[iRecAft].status() != -53) ||
         e[iEmt].status() != 51 || e[iRadAft].status() != 51) {
      e.list();
      cout << "Error: couldn't find Pythia FSR emission" << endl;
      exit(1);
    }

    // Behaviour based on pTemtMode:
    //  0 - pT of emitted w.r.t. radiator before
    //  1 - min(pT of emitted w.r.t. all incoming/outgoing)
    //  2 - min(pT of all outgoing w.r.t. all incoming/outgoing)
    int xSR = (pTemtMode == 0) ? 1       : -1;
    int i   = (pTemtMode == 0) ? iRadBef : -1;
    int k   = (pTemtMode == 0) ? iRadAft : -1;
    int r   = (pTemtMode == 0) ? iRecAft : -1;

    // When pTemtMode is 0 or 1, iEmt has been selected
    double pTemt = 0.;
    if (pTemtMode == 0 || pTemtMode == 1) {
      // Which parton is emitted, based on emittedMode:
      //  0 - Pythia definition of emitted
      //  1 - Pythia definition of radiated after emission
      //  2 - Random selection of emitted or radiated after emission
      //  3 - Try both emitted and radiated after emission
      int j = iRadAft;
      if (emittedMode == 0 || (emittedMode == 2 && rndmPtr->flat() < 0.5)) j++;

      for (int jLoop = 0; jLoop < 2; jLoop++) {
        if      (jLoop == 0) pTemt = pTcalc(e, i, j, k, r, xSR);
        else if (jLoop == 1) pTemt = min(pTemt, pTcalc(e, i, j, k, r, xSR));
  
        // For emittedMode == 3, have tried iRadAft, now try iEmt
        if (emittedMode != 3) break;
        if (k != -1) swap(j, k); else j = iEmt;
      }

    // If pTemtMode is 2, then try all final-state partons as emitted
    } else if (pTemtMode == 2) {
      pTemt = pTcalc(e, i, -1, k, r, xSR);

    }

#ifdef DBGOUTPUT
    cout << "doVetoFSREmission: pTemt = " << pTemt << endl << endl;
#endif

    // Veto if pTemt > pThard
    if (pTemt > pThard) {
      nAcceptSeq = 0;
      nFSRveto++;
      return true;
    }

    // Else mark that an emission has been accepted and continue
    nAcceptSeq++;
    accepted = true;
    return false;
  }

//--------------------------------------------------------------------------

  // MPI veto

  bool canVetoMPIEmission() { return (MPIvetoMode == 0) ? false : true; }
  bool doVetoMPIEmission(int, const Event &e) {
    if (MPIvetoMode == 1) {
      if (e[e.size() - 1].pT() > pTMPI) {
#ifdef DBGOUTPUT
        cout << "doVetoMPIEmission: pTnow = " << e[e.size() - 1].pT()
             << ", pTMPI = " << pTMPI << endl << endl;
#endif
        return true;
      }
    }
    return false;
  }

//--------------------------------------------------------------------------

  // Functions to return information

  int    getNISRveto() { return nISRveto; }
  int    getNFSRveto() { return nFSRveto; }

private:
  int    nFinal, vetoMode, vetoCount, pThardMode, pTemtMode,
         emittedMode, pTdefMode, MPIvetoMode;
  double pThard, pTMPI;
  bool   accepted;
  // The number of accepted emissions (in a row)
  int nAcceptSeq;
  // Statistics on vetos
  unsigned long int nISRveto, nFSRveto;

};

//==========================================================================

int main(int, char **) {

  // Generator
  Pythia pythia;

  // Add further settings that can be set in the configuration file
  pythia.settings.addMode("POWHEG:nFinal",    2, true, false, 1, 0);
  pythia.settings.addMode("POWHEG:veto",      0, true, true,  0, 2);
  pythia.settings.addMode("POWHEG:vetoCount", 3, true, false, 0, 0);
  pythia.settings.addMode("POWHEG:pThard",    0, true, true,  0, 2);
  pythia.settings.addMode("POWHEG:pTemt",     0, true, true,  0, 2);
  pythia.settings.addMode("POWHEG:emitted",   0, true, true,  0, 3);
  pythia.settings.addMode("POWHEG:pTdef",     0, true, true,  0, 2);
  pythia.settings.addMode("POWHEG:MPIveto",   0, true, true,  0, 1);

  // Load configuration file
  pythia.readFile("main31.cmnd");

  // Read in main settings
  int nEvent      = pythia.settings.mode("Main:numberOfEvents");
  int nError      = pythia.settings.mode("Main:timesAllowErrors");
  // Read in POWHEG settings
  int nFinal      = pythia.settings.mode("POWHEG:nFinal");
  int vetoMode    = pythia.settings.mode("POWHEG:veto");
  int vetoCount   = pythia.settings.mode("POWHEG:vetoCount");
  int pThardMode  = pythia.settings.mode("POWHEG:pThard");
  int pTemtMode   = pythia.settings.mode("POWHEG:pTemt");
  int emittedMode = pythia.settings.mode("POWHEG:emitted");
  int pTdefMode   = pythia.settings.mode("POWHEG:pTdef");
  int MPIvetoMode = pythia.settings.mode("POWHEG:MPIveto");
  bool loadHooks  = (vetoMode > 0 || MPIvetoMode > 0);

  // Add in user hooks for shower vetoing
  PowhegHooks *powhegHooks = NULL;
  if (loadHooks) {

    // Set ISR and FSR to start at the kinematical limit
    if (vetoMode > 0) {
      pythia.readString("SpaceShower:pTmaxMatch = 2");
      pythia.readString("TimeShower:pTmaxMatch = 2");
    }

    // Set MPI to start at the kinematical limit
    if (MPIvetoMode > 0) {
      pythia.readString("MultipartonInteractions:pTmaxMatch = 2");
    }

    powhegHooks = new PowhegHooks(nFinal, vetoMode, vetoCount,
        pThardMode, pTemtMode, emittedMode, pTdefMode, MPIvetoMode);
    pythia.setUserHooksPtr((UserHooks *) powhegHooks);
  }

  // Initialise and list settings
  pythia.init();

  // Counters for number of ISR/FSR emissions vetoed
  unsigned long int nISRveto = 0, nFSRveto = 0;

  // Begin event loop; generate until nEvent events are processed
  // or end of LHEF file
  int iEvent = 0, iError = 0;
  while (true) {

    // Generate the next event
    if (!pythia.next()) {

      // If failure because reached end of file then exit event loop
      if (pythia.info.atEndOfFile()) break;

      // Otherwise count event failure and continue/exit as necessary
      cout << "Warning: event " << iEvent << " failed" << endl;
      if (++iError == nError) {
        cout << "Error: too many event failures.. exiting" << endl;
        break;
      }

      continue;
    }

    /*
     * Process dependent checks and analysis may be inserted here
     */

    // Update ISR/FSR veto counters
    if (loadHooks) {
      nISRveto += powhegHooks->getNISRveto();
      nFSRveto += powhegHooks->getNFSRveto();
    }

    // If nEvent is set, check and exit loop if necessary
    ++iEvent;
    if (nEvent != 0 && iEvent == nEvent) break;

  } // End of event loop.

  // Statistics, histograms and veto information
  pythia.stat();
  cout << "Number of ISR emissions vetoed: " << nISRveto << endl;
  cout << "Number of FSR emissions vetoed: " << nFSRveto << endl;
  cout << endl;

  // Done.
  if (powhegHooks) delete powhegHooks;
  return 0;
}

pythia8-8.1.86.orig/examples/w+_production_lhc_1.lhe0000644000175000017500000033321012357054721020514 0ustar  sunsun

      


# MG/ME version    : 4.4.48
# madgraph version : 4.4.5
# template version : 2.4.25
# helas version    : 3.8
# model version    : sm_1.2.1


#*********************************************************************
#                        MadGraph/MadEvent                           *
#                   http://madgraph.hep.uiuc.edu                     *
#                                                                    *
#                          proc_card.dat                             *
#                                                                    *
# This file is used to generate the code for a specific process.     *
# Some notation/conventions:                                         *
#                                                                    *
# 0. Do not modify the TAGS and their order.                         *
# 1. hash/pound is a comment.                                        *
# 2. The number after the @ is used as an identifier for the class   *
#    of processes. It can be any positive integer.                   *
# 3. The number of lines for the max couplings depends on how many   *
#    different classes of couplings are present in the model         *
#    In the SM these are just two: QED (which include EW) and QCD    *
# 4. Write "end_coup" after  the couplings list,                     *
#    to tell MG that the couplings input is over.                    *
# 5. Write "done" after the proc list to                             *
#    to tell MG that the proc input is over.                         *
# 6. Some model names available at present are:                      *
#    sm     =  Standard Model                                        *
#    smckm =  Standard Model with Cabibbo matrix                     *
#    mssm   =  Minimal Supersymmetric Standard Model                 *
#    2hdm   =  Generic Two Higgs Doublet model                       *
#    heft   =  Higgs EFT (+Standard Model)                           *
#    usrmod =  User Model                                            *
# 7. Don't leave spaces between the particles name in the            *
#    definition of the multiparticles.                               *
#*********************************************************************
#*********************************************************************
# Process(es) requested : mg2 input                                  *
#*********************************************************************
# Begin PROCESS # This is TAG. Do not modify this line
pp>e+vej  @1       # First Process
QCD=99             # Max QCD couplings
QED=2              # Max QED couplings
end_coup           # End the couplings input
done               # this tells MG there are no more procs
# End PROCESS  # This is TAG. Do not modify this line
#*********************************************************************
# Model information                                                  *
#*********************************************************************
# Begin MODEL  # This is TAG. Do not modify this line
sm           
# End   MODEL  # This is TAG. Do not modify this line
#*********************************************************************
# Start multiparticle definitions                                    *
#*********************************************************************
# Begin MULTIPARTICLES # This is TAG. Do not modify this line
P uu~dd~cc~ss~g
J uu~dd~cc~ss~g
L+ e+mu+
L- e-mu-
vl vevm
vl~ ve~vm~
# End  MULTIPARTICLES # This is TAG. Do not modify this line


#******************************************************************
#                      MadGraph/MadEvent                          *
#******************************************************************
#   Les Houches friendly file for the SM parameters of MadGraph   *
#        Spectrum and decay widths produced by SMCalc             *
#******************************************************************
#*Please note the following IMPORTANT issues:                     *
#                                                                 *
#0. REFRAIN from editing this file by hand! Some of the parame-   *
#   ters are not independent                                      *
#   (such as G_Fermi, alpha_em, sin(theta_W),MZ,MW) and serious   *
#   problems might be encountered (such as violation of unitarity *
#   or gauge invariance).  Always use a calculator.               *
#                                                                 *
#1. alpha_S(MZ) has been used in the calculation of the parameters*
#   but, for consistency, it will be reset by madgraph to the     *
#   value expected IF the pdfs for collisions with hadrons are    *
#   used. This value is KEPT by madgraph when no pdf are used     *
#   lpp(i)=0 .                                                    *
#                                                                 *
#2. Values of the charm and bottom kinematic (pole) masses are    *
#   those used in the matrix elements and phase space UNLESS they *
#   are set to ZERO from the start in the model (particles.dat)   *
#   This happens, for example,  when using 5-flavor QCD where     *
#   charm and bottom are treated as partons in the initial state  *
#   and a zero mass might be hardwired in the model definition.   *
#                                                                 *
#******************************************************************
Block SMINPUTS      # Standard Model inputs
     1         1.32506980E+02   # alpha_em(MZ)(-1) SM MSbar
     2         1.16639000E-05   # G_Fermi
     3         1.18000000E-01   # alpha_s(MZ) SM MSbar
     4         9.11880000E+01   # Z mass (as input parameter)
Block MGYUKAWA     # Yukawa masses m/v=y/sqrt(2)
#    PDG          YMASS
     5         4.20000000E+00   # mbottom for the Yukawa  y_b
     4         1.42000000E+00   # mcharm  for the Yukawa  y_c
     6         1.64500000E+02   # mtop    for the Yukawa  y_t
    15         1.77700000E+00   # mtau    for the Yukawa  y_ta
Block MGCKM     # CKM elements for MadGraph
     1   1     9.75000000E-01   # Vud for Cabibbo matrix
Block MASS      #  Mass spectrum (kinematic masses)
#       PDG       Mass
         5     4.70000000E+00   # bottom   pole mass
         6     1.74300000E+02   # top      pole mass
        15     1.77700000E+00   # tau      mass
        23     9.11880000E+01   # Z        mass
        24     8.04190000E+01   # W        mass
        25     1.20000000E+02   # H        mass
#            PDG       Width
DECAY         6     1.50833649E+00   # top width
DECAY        23     2.44140351E+00   # Z   width
DECAY        24     2.04759951E+00   # W   width
DECAY        25     5.75308848E-03   # H   width
#        BR           NDA        ID1       ID2
     8.27451012E-02    2           4        -4   # BR( H -> c  cbar  )
     7.17809696E-01    2           5        -5   # BR( H -> b  bbar  )
     0.00000000E+00    2           6        -6   # BR( H -> t  tbar  )
     4.31720144E-02    2          15       -15   # BR( H -> tau- tau+)
     6.90597075E-03    2          23        23   # BR( H -> Z   Z^(*))
     7.45906395E-02    2          24       -24   # BR( H -> W   W^(*))
     3.01765558E-02    2          21        21   # BR( H -> g   g    )
     1.42800773E-03    2          22        22   # BR( H -> A   A    )


#*********************************************************************
#                       MadGraph/MadEvent                            *
#                  http://madgraph.hep.uiuc.edu                      *
#                                                                    *
#                        run_card.dat                                *
#                                                                    *
#  This file is used to set the parameters of the run.               *
#                                                                    *
#  Some notation/conventions:                                        *
#                                                                    *
#   Lines starting with a '# ' are info or comments                  *
#                                                                    *
#   mind the format:   value    = variable     ! comment             *
#*********************************************************************
#
#*******************                                                 
# Running parameters
#*******************                                                 
#                                                                    
#*********************************************************************
# Tag name for the run (one word)                                    *
#*********************************************************************
  'fermi'     = run_tag ! name of the run 
#*********************************************************************
# Run to generate the grid pack                                      *
#*********************************************************************
  .false.     = gridpack  !True = setting up the grid pack
#*********************************************************************
# Number of events and rnd seed                                      *
#*********************************************************************
  100         = nevents ! Number of unweighted events requested 
     25490 = iseed   ! rnd seed (0=assigned automatically=default))
#*********************************************************************
# Collider type and energy                                           *
#*********************************************************************
        1     = lpp1  ! beam 1 type (0=NO PDF)
        1    = lpp2  ! beam 2 type (0=NO PDF)
   3500.0    = ebeam1  ! beam 1 energy in GeV
   3500.0    = ebeam2  ! beam 2 energy in GeV
#*********************************************************************
# Beam polarization from -100 (left-handed) to 100 (right-handed)    *
#*********************************************************************
        0     = polbeam1 ! beam polarization for beam 1
        0     = polbeam2 ! beam polarization for beam 2
#*********************************************************************
# PDF CHOICE: this automatically fixes also alpha_s and its evol.    *
#*********************************************************************
# 'cteq6_l'    = pdlabel     ! PDF set  
 'lhapdf'    = pdlabel        ! PDF label
 10042       = lhaid          ! PDF set 
#*********************************************************************
# Renormalization and factorization scales                           *
#*********************************************************************
 T        = fixed_ren_scale  ! if .true. use fixed ren scale
 T        = fixed_fac_scale  ! if .true. use fixed fac scale
 91.188	  = scale            ! fixed ren scale
 80.4     = dsqrt_q2fact1    ! fixed fact scale for pdf1
 80.4     = dsqrt_q2fact2    ! fixed fact scale for pdf2
 1        = scalefact        ! scale factor for event-by-event scales
#*********************************************************************
# Matching - Warning! ickkw > 0 is still beta
#*********************************************************************
 0        = ickkw            ! 0 no matching, 1 MLM, 2 CKKW matching
 1        = highestmult      ! for ickkw=2, highest mult group
 1        = ktscheme         ! for ickkw=1, 1 Durham kT, 2 Pythia pTE
 1        = alpsfact         ! scale factor for QCD emission vx
 F        = chcluster        ! cluster only according to channel diag
 F        = pdfwgt           ! for ickkw=1, perform pdf reweighting
#*********************************************************************
#                                                                    
#**********************************
# BW cutoff (M+/-bwcutoff*Gamma)
#**********************************
  15d0  = bwcutoff
#*******************                                                 
# Standard Cuts
#*******************                                                 
#                                                                    
#*********************************************************************
# Minimum and maximum pt's                                           *
#*********************************************************************
 0d0 = ptj       ! minimum pt for the jets 
 0d0  = ptb       ! minimum pt for the b 
 0d0 = pta       ! minimum pt for the photons 
 0d0 = ptl       ! minimum pt for the charged leptons 
 0d0  = misset    ! minimum missing Et (sum of neutrino's momenta)
 0d0  = ptheavy   ! minimum pt for one heavy final state
 0d0 = ptonium   ! minimum pt for the quarkonium states
 1d9 = ptjmax    ! maximum pt for the jets
 1d9 = ptbmax    ! maximum pt for the b
 1d9 = ptamax    ! maximum pt for the photons
 1d9 = ptlmax    ! maximum pt for the charged leptons
 1d9 = missetmax ! maximum missing Et (sum of neutrino's momenta)
#*********************************************************************
# Minimum and maximum E's (in the lab frame)                         *
#*********************************************************************
 0d0  = ej     ! minimum E for the jets 
 0d0  = eb     ! minimum E for the b 
 0d0  = ea     ! minimum E for the photons 
 0d0  = el     ! minimum E for the charged leptons 
 1d9  = ejmax ! maximum E for the jets
 1d9  = ebmax ! maximum E for the b
 1d9  = eamax ! maximum E for the photons
 1d9  = elmax ! maximum E for the charged leptons
#*********************************************************************
# Maximum and minimum rapidity                                       *
#*********************************************************************
 1d9  = etaj    ! max rap for the jets 
 1d9  = etab    ! max rap for the b 
 1d9  = etaa    ! max rap for the photons 
 1d9  = etal    ! max rap for the charged leptons 
 1d9  = etaonium ! max rap for the quarkonium states
 0d0  = etajmin ! min rap for the jets
 0d0  = etabmin ! min rap for the b
 0d0  = etaamin ! min rap for the photons
 0d0  = etalmin ! main rap for the charged leptons
#*********************************************************************
# Minimum and maximum DeltaR distance                                *
#*********************************************************************
 0d0 = drjj    ! min distance between jets 
 0d0 = drbb    ! min distance between b's 
 0d0 = drll    ! min distance between leptons 
 0d0 = draa    ! min distance between gammas 
 0d0 = drbj    ! min distance between b and jet 
 0d0 = draj    ! min distance between gamma and jet 
 0d0 = drjl    ! min distance between jet and lepton 
 0d0 = drab    ! min distance between gamma and b 
 0d0 = drbl    ! min distance between b and lepton 
 0d0 = dral    ! min distance between gamma and lepton 
 1d9 = drjjmax ! max distance between jets
 1d9 = drbbmax ! max distance between b's
 1d9 = drllmax ! max distance between leptons
 1d9 = draamax ! max distance between gammas
 1d9 = drbjmax ! max distance between b and jet
 1d9 = drajmax ! max distance between gamma and jet
 1d9 = drjlmax ! max distance between jet and lepton
 1d9 = drabmax ! max distance between gamma and b
 1d9 = drblmax ! max distance between b and lepton
 1d9 = dralmax ! maxdistance between gamma and lepton
#*********************************************************************
# Minimum and maximum invariant mass for pairs                       *
#*********************************************************************
 0d0   = mmjj    ! min invariant mass of a jet pair 
 0d0   = mmbb    ! min invariant mass of a b pair 
 0d0   = mmaa    ! min invariant mass of gamma gamma pair
 0d0   = mmll    ! min invariant mass of l+l- (same flavour) lepton pair
 1d9   = mmjjmax ! max invariant mass of a jet pair
 1d9   = mmbbmax ! max invariant mass of a b pair
 1d9   = mmaamax ! max invariant mass of gamma gamma pair
 1d9   = mmllmax ! max invariant mass of l+l- (same flavour) lepton pair
#*********************************************************************
# Minimum and maximum invariant mass for all letpons                 *
#*********************************************************************
 0d0   = mmnl    ! min invariant mass for all letpons (l+- and vl) 
 1d9   = mmnlmax ! max invariant mass for all letpons (l+- and vl) 
#*********************************************************************
# Inclusive cuts                                                     *
#*********************************************************************
 0d0  = xptj ! minimum pt for at least one jet  
 0d0  = xptb ! minimum pt for at least one b 
 0d0  = xpta ! minimum pt for at least one photon 
 0d0  = xptl ! minimum pt for at least one charged lepton 
#*********************************************************************
# Control the pt's of the jets sorted by pt                          *
#*********************************************************************
 0d0   = ptj1min ! minimum pt for the leading jet in pt
 0d0   = ptj2min ! minimum pt for the second jet in pt
 0d0   = ptj3min ! minimum pt for the third jet in pt
 0d0   = ptj4min ! minimum pt for the fourth jet in pt
 1d9   = ptj1max ! maximum pt for the leading jet in pt 
 1d9   = ptj2max ! maximum pt for the second jet in pt
 1d9   = ptj3max ! maximum pt for the third jet in pt
 1d9   = ptj4max ! maximum pt for the fourth jet in pt
 0   = cutuse  ! reject event if fails any (0) / all (1) jet pt cuts
#*********************************************************************
# Control the Ht(k)=Sum of k leading jets                            *
#*********************************************************************
 0d0 = htjmin ! minimum jet HT=Sum(jet pt)
 1d9 = htjmax ! maximum jet HT=Sum(jet pt)
 0d0 = ht2min ! minimum Ht for the two leading jets
 0d0 = ht3min ! minimum Ht for the three leading jets
 0d0 = ht4min ! minimum Ht for the four leading jets
 1d9 = ht2max ! maximum Ht for the two leading jets
 1d9 = ht3max ! maximum Ht for the three leading jets
 1d9 = ht4max ! maximum Ht for the four leading jets
#*********************************************************************
# WBF cuts                                                           *
#*********************************************************************
 0   = xetamin ! minimum rapidity for two jets in the WBF case  
 0   = deltaeta ! minimum rapidity for two jets in the WBF case 
#*********************************************************************
# maximal pdg code for quark to be considered as a jet               *
# otherwise b cuts are applied                                       *
#*********************************************************************
 4 = maxjetflavor
#*********************************************************************
# Jet measure cuts                                                   *
#*********************************************************************
 0   = xqcut   ! minimum kt jet measure between partons
#*********************************************************************
 30d0  = ktdurham    ! minimum durham kt jet measure between partons
 0.4   = dparameter  ! D parameter for hadronic kT
 T     = dokt        ! T: enable durham kt cut
#*********************************************************************


#  Number of Events        :         100
#  Integrated weight (pb)  :  .45148E+03
#  Truncated wgt (pb)      :  .00000E+00
#  Unit wgt                :  .45148E+01


      

     2212     2212  0.35000000000E+04  0.35000000000E+04 0 0 10042 10042 3  1
  0.45148000000E+03  0.16937000000E+03  0.45148000000E+01   1


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.21770084573E+02  0.21770084573E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.57251329959E+03  0.57251329959E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.49642376101E+02 -0.79249970754E+02 -0.24549194153E+03  0.27502915422E+03  0.81423700157E+02 0.  0.
      -11    1    3    3    0    0  0.19795487834E+02 -0.31862246975E+02 -0.10260178437E+03  0.10924371963E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.69437863935E+02 -0.47387723779E+02 -0.14289015716E+03  0.16578543460E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.49642376101E+02  0.79249970754E+02 -0.30525127349E+03  0.31925422994E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.44763582618E+02  0.44763582618E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.19560307388E+03  0.19560307388E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.58900031250E+02  0.12421205031E+02 -0.14938693493E+03  0.18015361857E+03  0.80717841533E+02 0.  0.
      -11    1    3    3    0    0  0.21420131338E+02 -0.33185482604E+02 -0.42299855262E+02  0.57873794047E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.37479899911E+02  0.45606687635E+02 -0.10708707967E+03  0.12227982453E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.58900031250E+02 -0.12421205031E+02 -0.14525563263E+01  0.60213037920E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.51955446632E+03  0.51955446632E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12780905702E+02  0.12780905702E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.59196724780E+02 -0.46636073649E+01  0.24055841591E+03  0.25957814530E+03  0.77372221069E+02 0.  0.
      -11    1    3    3    0    0 -0.18212204064E+02 -0.71621884254E+01  0.38578690378E+02  0.43258486695E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.77408928844E+02  0.24985810605E+01  0.20197972554E+03  0.21631965861E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.59196724780E+02  0.46636073649E+01  0.26621514470E+03  0.27275722672E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.26151964471E+02  0.26151964471E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.23057230023E+03  0.23057230023E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.45004849865E+02  0.24432012577E+02 -0.16800688814E+03  0.19388877380E+03  0.82122971157E+02 0.  0.
      -11    1    3    3    0    0 -0.31970745683E+02 -0.71493284251E+01 -0.13138821066E+02  0.35296885067E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13034104182E+02  0.31581341002E+02 -0.15486806707E+03  0.15859188873E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.45004849865E+02 -0.24432012577E+02 -0.36413447619E+02  0.62835490906E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.47980872174E+03  0.47980872174E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.17129159561E+02  0.17129159561E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.53577527236E+02  0.48927414020E+02  0.28741835295E+03  0.30725146974E+03  0.80806638232E+02 0.  0.
      -11    1    3    3    0    0  0.76931365265E+00  0.52797422567E+02  0.11769367011E+03  0.12899596760E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.54346840889E+02 -0.38700085473E+01  0.16972468284E+03  0.17825550214E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.53577527236E+02 -0.48927414020E+02  0.17526120923E+03  0.18968641155E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.39747931075E+03  0.39747931075E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.99218240887E+01  0.99218240887E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.27018767030E+02  0.15644192047E+02  0.18574383448E+03  0.20318677510E+03  0.76219020011E+02 0.  0.
      -11    1    3    3    0    0 -0.20745520090E+02  0.18569782341E+02  0.33288216663E+02  0.43397220977E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47764287120E+02 -0.29255902935E+01  0.15245561781E+03  0.15978955412E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.27018767030E+02 -0.15644192047E+02  0.20181365218E+03  0.20421435974E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.15679767827E+04  0.15679767827E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12162252050E+02  0.12162252050E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.11468836080E+03  0.40576906518E+02  0.97279494954E+03  0.98456222408E+03  0.90735074781E+02 0.  0.
      -11    1    3    3    0    0 -0.22054316396E+01 -0.22521087544E+02  0.16230328958E+03  0.16387318609E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.11248292916E+03  0.63097994062E+02  0.81049165996E+03  0.82068903799E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.11468836080E+03 -0.40576906518E+02  0.58301958108E+03  0.59557681064E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.76772668809E+02  0.76772668809E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.55683134235E+02  0.55683134235E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.33443124152E+02  0.58324502557E+01  0.34463275330E+02  0.95968586503E+02  0.82884209714E+02 0.  0.
      -11    1    3    3    0    0  0.36276053965E+02  0.24120024224E+02 -0.12640700172E+02  0.45359838632E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.28329298131E+01 -0.18287573968E+02  0.47103975503E+02  0.50608747871E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.33443124152E+02 -0.58324502557E+01 -0.13373740757E+02  0.36487216540E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12473707338E+02  0.12473707338E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.83700163945E+03  0.83700163945E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.56744576294E+02  0.30590747629E+02 -0.71588753112E+03  0.72314847907E+03  0.79328587476E+02 0.  0.
      -11    1    3    3    0    0  0.28396902162E+02  0.21802962540E+02 -0.94529106993E+02  0.10108167637E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.28347674131E+02  0.87877850891E+01 -0.62135842413E+03  0.62206680271E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.56744576294E+02 -0.30590747629E+02 -0.10864040099E+03  0.12632686772E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15091519630E+03  0.15091519630E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.28916244262E+02  0.28916244262E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11252075404E+02 -0.29341939392E+02  0.11960416331E+03  0.14831487950E+03  0.81881554640E+02 0.  0.
      -11    1    3    3    0    0  0.20036767313E+02 -0.53585318311E+02  0.57693811064E+02  0.81249210568E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.87846919086E+01  0.24243378919E+02  0.61910352250E+02  0.67065668930E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.11252075404E+02  0.29341939392E+02  0.23947887228E+01  0.31516561063E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.35296821160E+03  0.35296821160E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.22515261316E+02  0.22515261316E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.43485210425E+02  0.22915821727E+02  0.30668267964E+03  0.32088380096E+03  0.80598072661E+02 0.  0.
      -11    1    3    3    0    0 -0.44277652742E+02 -0.17824946149E+02  0.21976153839E+03  0.22488524406E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.79244231658E+00  0.40740767876E+02  0.86921141248E+02  0.95998556905E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.43485210425E+02 -0.22915821727E+02  0.23770270644E+02  0.54599671956E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.47390805952E+03  0.47390805952E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.79500545900E+01  0.79500545900E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.56378346586E+01 -0.30746623723E+02  0.39728770072E+03  0.40640779450E+03  0.79703439266E+02 0.  0.
      -11    1    3    3    0    0 -0.23267067110E+02 -0.20775075706E+02  0.52801194970E+02  0.61326392139E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17629232451E+02 -0.99715480172E+01  0.34448650575E+03  0.34508140236E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.56378346586E+01  0.30746623723E+02  0.68670304203E+02  0.75450319610E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.47101630805E+03  0.47101630805E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.79823463912E+01  0.79823463912E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.28464800857E+02 -0.18892603762E+02  0.29544583493E+03  0.30796370017E+03  0.79913852838E+02 0.  0.
      -11    1    3    3    0    0 -0.74533575292E+01  0.97164254781E+01  0.20352816689E+01  0.12413856532E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21011443327E+02 -0.28609029240E+02  0.29341055326E+03  0.29554984363E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.28464800857E+02  0.18892603762E+02  0.16758812673E+03  0.17103495428E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.66392945065E+03  0.66392945065E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.82807278620E+01  0.82807278620E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.26133379614E+02 -0.39161949930E+02  0.31387190738E+03  0.32720582578E+03  0.79570511690E+02 0.  0.
      -11    1    3    3    0    0 -0.47024687025E+02 -0.20978163299E+02  0.27312918031E+03  0.27794055778E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20891307411E+02 -0.18183786631E+02  0.40742727066E+02  0.49265267992E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.26133379614E+02  0.39161949930E+02  0.34177681541E+03  0.34500435273E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10221653631E+02  0.10221653631E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.51023349684E+03  0.51023349684E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.38834309067E+02  0.14263853846E+02 -0.42605341596E+03  0.43571194986E+03  0.81313153424E+02 0.  0.
      -11    1    3    3    0    0 -0.36456202245E+02 -0.27110802336E+02 -0.15543261469E+03  0.16193624670E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.23781068211E+01  0.41374656182E+02 -0.27062080126E+03  0.27377570316E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.38834309067E+02 -0.14263853846E+02 -0.73958427258E+02  0.84743200610E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.40041700858E+01  0.40041700858E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.11175649192E+04  0.11175649192E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.24686767449E+02  0.20501123617E+02 -0.52170806759E+03  0.52884712312E+03  0.80437797581E+02 0.  0.
      -11    1    3    3    0    0 -0.27700419620E+02 -0.26421099354E+02 -0.28039375084E+03  0.28299477601E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30136521711E+01  0.46922222972E+02 -0.24131431675E+03  0.24585234711E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.24686767449E+02 -0.20501123617E+02 -0.59185268152E+03  0.59272196617E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.85892408006E+03  0.85892408006E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12827937735E+02  0.12827937735E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.59831158001E+02  0.58871066621E+02  0.36689039342E+03  0.38525050728E+03  0.82242462396E+02 0.  0.
      -11    1    3    3    0    0  0.47267229731E+02  0.64110826645E+02  0.16832963625E+03  0.18622367072E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12563928271E+02 -0.52397600240E+01  0.19856075717E+03  0.19902683655E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.59831158001E+02 -0.58871066621E+02  0.47920574891E+03  0.48650151052E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13848108249E+03  0.13848108249E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10912319734E+03  0.10912319734E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.33732589988E+02 -0.68269794582E+02 -0.63244659595E+02  0.12771314683E+03  0.80697635813E+02 0.  0.
      -11    1    3    3    0    0 -0.52839928613E+02 -0.59102893772E+02 -0.23529353216E+02  0.82697282729E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.19107338624E+02 -0.91669008097E+01 -0.39715306379E+02  0.45015864099E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.33732589988E+02  0.68269794582E+02  0.92602544745E+02  0.11989113300E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13389318759E+03  0.13389318759E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.54971514361E+02  0.54971514361E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.20938303537E+02 -0.35694355106E+02  0.10625310368E+03  0.13927128876E+03  0.79964181301E+02 0.  0.
      -11    1    3    3    0    0  0.27993391737E+02 -0.26313530499E+02  0.66639657335E+01  0.38992823795E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.70550881993E+01 -0.93808246071E+01  0.99589137946E+02  0.10027846497E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.20938303537E+02  0.35694355106E+02 -0.27331430447E+02  0.49593413189E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13721247335E+04  0.13721247335E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.52831963686E+01  0.52831963686E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.44780478948E+02 -0.34698870463E+01  0.12302263386E+04  0.12335988763E+04  0.79322204196E+02 0.  0.
      -11    1    3    3    0    0  0.53322786610E+01  0.34153131216E+02  0.61129391146E+03  0.61227045965E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.39448200287E+02 -0.37623018262E+02  0.61893242714E+03  0.62132841668E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.44780478948E+02  0.34698870463E+01  0.13661519854E+03  0.14380905355E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.36147988888E+03  0.36147988888E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.46172537727E+02  0.46172537727E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.30912215071E+02  0.33244296368E+02  0.34177426525E+01  0.92476481820E+02  0.80495157888E+02 0.  0.
      -11    1    3    3    0    0  0.53417567336E+02  0.36505552759E+02  0.15775102126E+02  0.66595388200E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22505352265E+02 -0.32612563908E+01 -0.12357359474E+02  0.25881093620E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.30912215071E+02 -0.33244296368E+02  0.31188960850E+03  0.31517594479E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.32497612954E+03  0.32497612954E+03  0.00000000000E+00 0. -1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.14059086118E+02  0.14059086118E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.36575809523E+02 -0.13320205922E+02  0.16253459762E+03  0.18563193033E+03  0.80786758851E+02 0.  0.
      -11    1    3    3    0    0  0.61404074191E+01 -0.13615458277E+02  0.15301340019E+03  0.15374064507E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30435402104E+02  0.29525235476E+00  0.95211974291E+01  0.31891285262E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.36575809523E+02  0.13320205922E+02  0.14838244580E+03  0.15340328533E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.33231035049E+03  0.33231035049E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12750914276E+02  0.12750914276E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.37188921993E+02 -0.10256801741E+02  0.24667475050E+03  0.26259675535E+03  0.81365874222E+02 0.  0.
      -11    1    3    3    0    0  0.24456138162E+02 -0.13204492554E+02  0.63862472837E+02  0.69648235830E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.61645060155E+02  0.29476908127E+01  0.18281227766E+03  0.19294851952E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.37188921993E+02  0.10256801741E+02  0.72884685722E+02  0.82464509420E+02  0.00000000000E+00 0. -1.


 5   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.96265116739E+01  0.96265116739E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10426029440E+04  0.10426029440E+04  0.00000000000E+00 0. -1.
      -11    1    1    2    0    0  0.58320146180E+02  0.30347173236E+02 -0.17814177200E+03  0.18988596921E+03  0.00000000000E+00 0.  1.
       12    1    1    2    0    0 -0.40479339401E+02  0.73156768130E+01 -0.72095163289E+03  0.72212419500E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.17840806779E+02 -0.37662850049E+02 -0.13388302747E+03  0.14021929149E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.81367810059E+03  0.81367810059E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.33587832879E+02  0.33587832879E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.21442208546E+02 -0.64486383111E+02  0.77167408739E+03  0.77878897381E+03  0.80081874739E+02 0.  0.
      -11    1    3    3    0    0  0.20922738318E+02 -0.23174973820E+01  0.70091714879E+02  0.73184563041E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.42364946864E+02 -0.62168885729E+02  0.70158237251E+03  0.70560441076E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.21442208546E+02  0.64486383111E+02  0.84161803279E+01  0.68476959668E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.40316793914E+01  0.40316793914E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.99455695807E+03  0.99455695807E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.38336263695E+02 -0.54553871741E+01 -0.78522041448E+03  0.78966396772E+03  0.74152897681E+02 0.  0.
      -11    1    3    3    0    0 -0.10813124113E+02 -0.19236006474E+02 -0.62372189985E+02  0.66160695897E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27523139582E+02  0.13780619300E+02 -0.72284822449E+03  0.72350327182E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.38336263695E+02  0.54553871741E+01 -0.20530486420E+03  0.20892466975E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13130087276E+04  0.13130087276E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.45590861189E+01  0.45590861189E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.51927579389E+02  0.19308799048E+02  0.99022780462E+03  0.99455939173E+03  0.74350355817E+02 0.  0.
      -11    1    3    3    0    0 -0.23125940844E+02  0.99817391789E+01  0.80960792962E+02  0.84788526665E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.28801638545E+02  0.93270598688E+01  0.90926701166E+03  0.90977086507E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.51927579389E+02 -0.19308799048E+02  0.31822183688E+03  0.32300842201E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.82300121439E+03  0.82300121439E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.17504310286E+02  0.17504310286E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.28267404796E+02 -0.21759197199E+02  0.79893693317E+03  0.80423512276E+03  0.84978824824E+02 0.  0.
      -11    1    3    3    0    0 -0.12096940964E+02 -0.82029539980E+01  0.23800461433E+02  0.27930026842E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40364345760E+02 -0.13556243201E+02  0.77513647173E+03  0.77630509592E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.28267404796E+02  0.21759197199E+02  0.65599709419E+01  0.36270401920E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.23924885011E+02  0.23924885011E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.33118182666E+03  0.33118182666E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.50842594682E+02  0.21104013684E+02 -0.27313094489E+03  0.29033841323E+03  0.81642711351E+02 0.  0.
      -11    1    3    3    0    0  0.75016334403E+01 -0.11605159124E+02 -0.14629610858E+03  0.14694728854E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.58344228122E+02  0.32709172808E+02 -0.12683483631E+03  0.14339112470E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.50842594682E+02 -0.21104013684E+02 -0.34125996765E+02  0.64768298440E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.47461846566E+02  0.47461846566E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12467703748E+03  0.12467703748E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.40831313093E+02  0.58599194183E+01 -0.69914143096E+01  0.90696182808E+02  0.80469763994E+02 0.  0.
      -11    1    3    3    0    0 -0.42020367913E+02  0.32326745990E+02 -0.25046972020E+02  0.58635148445E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11890548195E+01 -0.26466826572E+02  0.18055557711E+02  0.32061034362E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.40831313093E+02 -0.58599194183E+01 -0.70223776603E+02  0.81442701238E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.73552986873E+01  0.73552986873E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47336680389E+03  0.47336680389E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.30615868075E+02  0.29577645242E+01 -0.33440614075E+03  0.34557014476E+03  0.81517962618E+02 0.  0.
      -11    1    3    3    0    0  0.56503868504E+02  0.14021394779E+02 -0.24573160901E+03  0.25253378058E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.25888000428E+02 -0.11063630255E+02 -0.88674531743E+02  0.93036364183E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.30615868075E+02 -0.29577645242E+01 -0.13160536445E+03  0.13515195781E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.83112782688E+03  0.83112782688E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.10828872968E+02  0.10828872968E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.66053442710E+02  0.42059743458E+02  0.49416503709E+03  0.50655334415E+03  0.79152556952E+02 0.  0.
      -11    1    3    3    0    0 -0.77687388363E+01  0.11228127920E+02  0.13238029460E+02  0.19017612460E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.73822181546E+02  0.30831615538E+02  0.48092700763E+03  0.48753573169E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.66053442710E+02 -0.42059743458E+02  0.32613391682E+03  0.33540335570E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.55102974125E+03  0.55102974125E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.10003740380E+02  0.10003740380E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.30380050959E+02  0.24213066994E+02  0.48534614438E+03  0.49314042949E+03  0.78213702306E+02 0.  0.
      -11    1    3    3    0    0 -0.58824857789E+01 -0.12504300185E+02  0.16765094413E+02  0.21726241109E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36262536738E+02  0.36717367180E+02  0.46858104996E+03  0.47141418838E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.30380050959E+02 -0.24213066994E+02  0.55679856491E+02  0.67893052137E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.11319707251E+04  0.11319707251E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.22111127962E+02  0.22111127962E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.42488453235E+01  0.43877923877E+02  0.11062493768E+04  0.11098511105E+04  0.77707651401E+02 0.  0.
      -11    1    3    3    0    0 -0.27163202528E+01 -0.21899536429E+02  0.37454305406E+03  0.37519257380E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15325250706E+01  0.65777460306E+02  0.73170632270E+03  0.73465853673E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.42488453235E+01 -0.43877923877E+02  0.36102203432E+01  0.44230742491E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10793169934E+02  0.10793169934E+02  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.69330147761E+03  0.69330147761E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.34368183765E+02 -0.90709112316E+01 -0.65041579582E+03  0.65620537105E+03  0.79380904836E+02 0.  0.
      -11    1    3    3    0    0  0.40919285534E+02 -0.18905730479E+02 -0.63586468030E+03  0.63746035660E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.65511017692E+01  0.98348192478E+01 -0.14551115520E+02  0.18745014455E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.34368183765E+02  0.90709112316E+01 -0.32092511848E+02  0.47889276488E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.29604173940E+02  0.29604173940E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.35312694598E+03  0.35312694598E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.50655320667E+02 -0.41897590511E+02 -0.29264436765E+03  0.31010298859E+03  0.78751304839E+02 0.  0.
      -11    1    3    3    0    0 -0.13525100812E+01  0.20727257587E+02 -0.71302318866E+02  0.74266204739E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.52007830748E+02 -0.62624848098E+02 -0.22134204879E+03  0.23583678386E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.50655320667E+02  0.41897590511E+02 -0.30878404390E+02  0.72628131328E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.65705544644E+03  0.65705544644E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.14333749120E+02  0.14333749120E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.12595265162E+02 -0.32563016436E+02  0.62576186217E+03  0.63257390537E+03  0.85748742707E+02 0.  0.
      -11    1    3    3    0    0 -0.83727195828E+01  0.13586746910E+02  0.24886039388E+02  0.29563779888E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20967984745E+02 -0.46149763346E+02  0.60087582278E+03  0.60301012549E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.12595265162E+02  0.32563016436E+02  0.16959835157E+02  0.38815290189E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.26929945165E+03  0.26929945165E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.18026421790E+02  0.18026421790E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.24393433437E+02 -0.36646788237E+02  0.19854795660E+03  0.21863846533E+03  0.80271170209E+02 0.  0.
      -11    1    3    3    0    0 -0.28212369458E+02  0.19723770753E+02  0.87898225928E+02  0.94398427129E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38189360214E+01 -0.56370558990E+02  0.11064973068E+03  0.12424003820E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.24393433437E+02  0.36646788237E+02  0.52725073251E+02  0.68687408106E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.93634503777E+02  0.93634503777E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12431965726E+03  0.12431965726E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.35797114242E+02  0.71158656666E+02 -0.63641817062E+02  0.13175016182E+03  0.83443612426E+02 0.  0.
      -11    1    3    3    0    0  0.55052892178E+02  0.18531823240E+02 -0.22778862698E+02  0.62394919629E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19255777935E+02  0.52626833426E+02 -0.40862954365E+02  0.69355242194E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.35797114242E+02 -0.71158656666E+02  0.32956663577E+02  0.86203999216E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.17850833661E+02  0.17850833661E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.67083315031E+03  0.67083315031E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.32084912238E+02  0.22210501159E+02 -0.64217040944E+03  0.64819145018E+03  0.79035266608E+02 0.  0.
      -11    1    3    3    0    0  0.32538025178E+02 -0.24283751707E+02 -0.25018193635E+03  0.25345497619E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.45311294015E+00  0.46494252866E+02 -0.39198847310E+03  0.39473647400E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.32084912238E+02 -0.22210501159E+02 -0.10811907202E+02  0.40492533786E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.20586767948E+01  0.20586767948E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.25460221891E+04  0.25460221891E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.57635198743E+01 -0.42800092651E+02 -0.11869583243E+04  0.11903886525E+04  0.79309609995E+02 0.  0.
      -11    1    3    3    0    0  0.11674467876E+02  0.15876627203E+02 -0.10557958523E+03  0.10740302281E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.59109480013E+01 -0.58676719854E+02 -0.10813787391E+04  0.10829856297E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.57635198743E+01  0.42800092651E+02 -0.13570051880E+04  0.13576922134E+04  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.39322593858E+02  0.39322593858E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.17506411784E+03  0.17506411784E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.14036293937E+02 -0.61827571233E+02 -0.68524127602E+02  0.12198625451E+03  0.78520214686E+02 0.  0.
      -11    1    3    3    0    0  0.22435692396E+02 -0.45161676774E+02 -0.10588709785E+02  0.51527256061E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36471986332E+02 -0.16665894459E+02 -0.57935417817E+02  0.70458998451E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.14036293937E+02  0.61827571233E+02 -0.67217396382E+02  0.92400457188E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.35710355243E+03  0.35710355243E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15873138186E+03  0.15873138186E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.15023724970E+03  0.62599549154E+01  0.29239143245E+03  0.33849334346E+03  0.80464747343E+02 0.  0.
      -11    1    3    3    0    0 -0.12811432096E+03  0.36172198945E+02  0.22127633627E+03  0.25823424290E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22122928742E+02 -0.29912244029E+02  0.71115096175E+02  0.80259100562E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.15023724970E+03 -0.62599549154E+01 -0.94019261882E+02  0.17734159083E+03  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.48505925336E+01  0.48505925336E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.87025105234E+03  0.87025105234E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.65849610789E+01 -0.35763596428E+02 -0.45672703338E+03  0.46481349490E+03  0.78291797009E+02 0.  0.
      -11    1    3    3    0    0 -0.74051116395E+01 -0.37671167653E+02 -0.45963758998E+03  0.46123818866E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.82015056061E+00  0.19075712251E+01  0.29105566081E+01  0.35753062372E+01  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.65849610789E+01  0.35763596428E+02 -0.40867342643E+03  0.41028814998E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.51837974095E+01  0.51837974095E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.13585670109E+04  0.13585670109E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.24448744833E+02  0.55267993546E+02 -0.10147279586E+04  0.10197454684E+04  0.80967265497E+02 0.  0.
      -11    1    3    3    0    0  0.28819431324E+02  0.36195220621E+02 -0.22171047167E+03  0.22648661520E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.43706864907E+01  0.19072772925E+02 -0.79301748697E+03  0.79325885322E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.24448744833E+02 -0.55267993546E+02 -0.33865525482E+03  0.34400533986E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.59774424000E+03  0.59774424000E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.88798505318E+02  0.88798505318E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.12814393370E+03  0.64889124129E+02  0.51717970684E+03  0.54267035578E+03  0.79904941631E+02 0.  0.
      -11    1    3    3    0    0  0.48553839529E+01  0.24984829041E+02  0.75049771013E+02  0.79248246445E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13299931765E+03  0.39904295088E+02  0.44212993583E+03  0.46342210933E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.12814393370E+03 -0.64889124129E+02 -0.82339721589E+01  0.14387238954E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.15393707083E+04  0.15393707083E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10824410813E+02  0.10824410813E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.28496228991E+02  0.11176793161E+03  0.94020842435E+03  0.95065733167E+03  0.80332903821E+02 0.  0.
      -11    1    3    3    0    0 -0.62211206788E+00  0.13035476455E+02  0.15610242048E+02  0.20346752238E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.29118341059E+02  0.98732455160E+02  0.92459818230E+03  0.93031057943E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.28496228991E+02 -0.11176793161E+03  0.58833787312E+03  0.59953778742E+03  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.64649615591E+02  0.64649615591E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.98542165148E+02  0.98542165148E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.28643678175E+02  0.40245143575E+02  0.74393928258E+01  0.98783230516E+02  0.85221183897E+02 0.  0.
      -11    1    3    3    0    0  0.34986105051E+02  0.32460716625E+02  0.41517351700E+02  0.63256747962E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.63424268766E+01  0.77844269494E+01 -0.34077958875E+02  0.35526482554E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.28643678175E+02 -0.40245143575E+02 -0.41331942383E+02  0.64408550223E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.53736385848E+03  0.53736385848E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.72543115387E+01  0.72543115387E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.67805231287E+01  0.32113858880E+02  0.43021202769E+03  0.43946689908E+03  0.83495456153E+02 0.  0.
      -11    1    3    3    0    0 -0.37717424301E+02  0.10846014980E+02  0.15641854927E+03  0.16126686793E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.44497947429E+02  0.21267843900E+02  0.27379347841E+03  0.27820003115E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.67805231287E+01 -0.32113858880E+02  0.99897519260E+02  0.10515127094E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12771264060E+04  0.12771264060E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.50555587191E+01  0.50555587191E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.41863082465E+02 -0.42580467332E+02  0.86006350719E+03  0.86586998776E+03  0.80349147043E+02 0.  0.
      -11    1    3    3    0    0  0.42617381934E+02  0.10424227645E+02  0.50058363968E+03  0.50250262295E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.75429946853E+00 -0.53004694976E+02  0.35947986751E+03  0.36336736480E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.41863082465E+02  0.42580467332E+02  0.41200734011E+03  0.41631197698E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.11703394534E+04  0.11703394534E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15240006326E+02  0.15240006326E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.36179653203E+02  0.43033186122E+02  0.11079358417E+04  0.11121953464E+04  0.79346309657E+02 0.  0.
      -11    1    3    3    0    0 -0.88868176992E+01  0.75797063908E+01  0.18747130711E+02  0.22088059844E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27292835503E+02  0.35453479731E+02  0.10891887109E+04  0.10901072865E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.36179653203E+02 -0.43033186122E+02  0.47163605367E+02  0.73384113300E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13107573839E+02  0.13107573839E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.30983494149E+03  0.30983494149E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.18920648562E+02  0.31087384855E+02 -0.23723424665E+03  0.25320122279E+03  0.80661979873E+02 0.  0.
      -11    1    3    3    0    0  0.19858100944E+02  0.78689564856E+01 -0.22667168294E+03  0.22767590232E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.93745238192E+00  0.23218428370E+02 -0.10562563713E+02  0.25525320471E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.18920648562E+02 -0.31087384855E+02 -0.59493121000E+02  0.69741292542E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.66607758378E+02  0.66607758378E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10141469634E+03  0.10141469634E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.44523079069E+02  0.15192340253E+02 -0.64137608917E+02  0.11258420050E+03  0.79677208483E+02 0.  0.
      -11    1    3    3    0    0  0.19189015013E+01  0.39173503880E+02 -0.35930406417E+02  0.53190597801E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.46441980570E+02 -0.23981163627E+02 -0.28207202500E+02  0.59393602695E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.44523079069E+02 -0.15192340253E+02  0.29330670957E+02  0.55438254219E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.22985114570E+02  0.22985114570E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.19505129496E+03  0.19505129496E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.22201603369E+02 -0.34554001298E+02 -0.13992579636E+03  0.16588380189E+03  0.79065270791E+02 0.  0.
      -11    1    3    3    0    0  0.31338687468E+02 -0.23375768996E+02 -0.17887038248E+02  0.42994023372E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.91370840990E+01 -0.11178232302E+02 -0.12203875811E+03  0.12288977852E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.22201603369E+02  0.34554001298E+02 -0.32140384027E+02  0.52152607636E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20316786010E+04  0.20316786010E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.31802004675E+01  0.31802004675E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11230105664E+02 -0.31946804017E+02  0.18994858769E+04  0.19014761009E+04  0.80112746402E+02 0.  0.
      -11    1    3    3    0    0  0.20036180797E+02 -0.32133167580E+02  0.36390712191E+03  0.36587208471E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.88060751330E+01  0.18636356271E+00  0.15355787550E+04  0.15356040162E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.11230105664E+02  0.31946804017E+02  0.12901252359E+03  0.13338270054E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.57560890477E+01  0.57560890477E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.16114331324E+04  0.16114331324E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.72041182140E+02  0.32822209600E+02 -0.87623418172E+03  0.88346303427E+03  0.80332822283E+02 0.  0.
      -11    1    3    3    0    0 -0.10726378613E+02 -0.60996771621E+01 -0.32127746236E+02  0.34415887869E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.82767560753E+02  0.38921886762E+02 -0.84410643548E+03  0.84904714640E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.72041182140E+02 -0.32822209600E+02 -0.72944286162E+03  0.73372618717E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20087361335E+03  0.20087361335E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.38137443994E+02  0.38137443994E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.64892188342E+02  0.23487665318E+02  0.10504781462E+03  0.14906322356E+03  0.80138222669E+02 0.  0.
      -11    1    3    3    0    0  0.15931016678E+01  0.38986297115E+02  0.52129010529E+02  0.65114538118E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.63299086674E+02 -0.15498631797E+02  0.52918804094E+02  0.83948685446E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.64892188342E+02 -0.23487665318E+02  0.57688354735E+02  0.89947833781E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.50335509321E+03  0.50335509321E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12882360044E+02  0.12882360044E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.29953996531E+01 -0.52432565345E+02  0.40243263603E+03  0.41372303948E+03  0.80352850150E+02 0.  0.
      -11    1    3    3    0    0 -0.34367961299E+02 -0.46467459251E+02  0.32266593025E+03  0.32780128748E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.31372561646E+02 -0.59651060941E+01  0.79766705785E+02  0.85921752000E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.29953996531E+01  0.52432565345E+02  0.88040097133E+02  0.10251441377E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12931863090E+04  0.12931863090E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.81377898574E+01  0.81377898574E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.83194620158E+02 -0.11604904387E+02  0.61548658899E+03  0.62651360921E+03  0.81483388917E+02 0.  0.
      -11    1    3    3    0    0  0.70825702950E+02 -0.38815531863E+02  0.34241154365E+03  0.35180760500E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12368917208E+02  0.27210627476E+02  0.27307504534E+03  0.27470600421E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.83194620158E+02  0.11604904387E+02  0.66956193016E+03  0.67481048966E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10506143464E+04  0.10506143464E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.21463871681E+02  0.21463871681E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.45079174337E+02  0.13309824306E+03  0.62145249446E+03  0.64084171989E+03  0.68757783635E+02 0.  0.
      -11    1    3    3    0    0  0.11588989519E+02  0.61123303376E+02  0.14443275794E+03  0.15726151615E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33490184818E+02  0.71974939689E+02  0.47701973652E+03  0.48358020374E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.45079174337E+02 -0.13309824306E+03  0.40769798022E+03  0.43123649816E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.13659123925E+02  0.13659123925E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.77386907423E+03  0.77386907423E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.41261484074E+02  0.66929887992E+02 -0.29628776299E+03  0.31699029760E+03  0.80711153512E+02 0.  0.
      -11    1    3    3    0    0  0.12835530126E+02 -0.96295196309E+01 -0.22784791756E+02  0.27867996291E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.54097014200E+02  0.76559407623E+02 -0.27350297123E+03  0.28912230131E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.41261484074E+02 -0.66929887992E+02 -0.46392218732E+03  0.47053790056E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.14930984504E+02  0.14930984504E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.43412727552E+03  0.43412727552E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.35088658326E+02  0.11202006419E+02 -0.39521701788E+03  0.40510710041E+03  0.80985015227E+02 0.  0.
      -11    1    3    3    0    0  0.12762276492E+02 -0.23858447743E+02 -0.17324669835E+03  0.17534685546E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.47850934817E+02  0.35060454162E+02 -0.22197031953E+03  0.22976024495E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.35088658326E+02 -0.11202006419E+02 -0.23979273132E+02  0.43951159608E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10278139294E+02  0.10278139294E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.38625511479E+03  0.38625511479E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.35903851341E+02 -0.10611940350E+02 -0.27676450850E+03  0.29049168947E+03  0.79907000099E+02 0.  0.
      -11    1    3    3    0    0 -0.13462853505E+02 -0.26423354668E+02 -0.16018556546E+03  0.16290751203E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.49366704846E+02  0.15811414317E+02 -0.11657894304E+03  0.12758417743E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.35903851341E+02  0.10611940350E+02 -0.99212466995E+02  0.10604156462E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.30847697965E+02  0.30847697965E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.41620154508E+03  0.41620154508E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.34534962269E+02  0.63918896073E+02 -0.35235184035E+03  0.36725311943E+03  0.73788518336E+02 0.  0.
      -11    1    3    3    0    0  0.55892474611E+01 -0.47606846224E+01 -0.14944935455E+01  0.74924839815E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.40124209730E+02  0.68679580695E+02 -0.35085734680E+03  0.35976063545E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.34534962269E+02 -0.63918896073E+02 -0.33002006769E+02  0.79796123620E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.74562972233E+03  0.74562972233E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.49255453564E+01  0.49255453564E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.76034744323E+01 -0.29772279383E+02  0.62851566711E+03  0.63423474848E+03  0.79231123513E+02 0.  0.
      -11    1    3    3    0    0 -0.76005627806E+01 -0.30802274507E+02  0.85155127485E+02  0.90873232617E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29116516247E-02  0.10299951234E+01  0.54336053962E+03  0.54336151586E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.76034744323E+01  0.29772279383E+02  0.11218850987E+03  0.11632051921E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.24772508878E+02  0.24772508878E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.55839961778E+03  0.55839961778E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.53162445098E+01 -0.88601133834E+02 -0.42598818879E+03  0.44365667771E+03  0.86526801139E+02 0.  0.
      -11    1    3    3    0    0 -0.49570005095E+01  0.88458707032E+01 -0.45769258304E+01  0.11125175621E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.35924400026E+00 -0.97447004537E+02 -0.42141126296E+03  0.43253150209E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.53162445098E+01  0.88601133834E+02 -0.10763892011E+03  0.13951544895E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.56472282001E+03  0.56472282001E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.23118139155E+02  0.23118139155E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.59714881770E+02  0.14065442092E+02  0.50831678788E+03  0.51804276732E+03  0.78858405821E+02 0.  0.
      -11    1    3    3    0    0 -0.25542279591E+02 -0.31490469126E+02  0.15759095251E+03  0.16272358774E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34172602179E+02  0.45555911218E+02  0.35072583537E+03  0.35531917958E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.59714881770E+02 -0.14065442092E+02  0.33287892977E+02  0.69798191845E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20362583918E+03  0.20362583918E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.23581697180E+02  0.23581697180E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.43825242228E+02 -0.14698625681E+01  0.14187525217E+03  0.16907255117E+03  0.80833953437E+02 0.  0.
      -11    1    3    3    0    0  0.23184870806E+02 -0.35566653931E+01 -0.21559562006E+01  0.23554962325E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20640371422E+02  0.20868028250E+01  0.14403120837E+03  0.14551758884E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.43825242228E+02  0.14698625681E+01  0.38168889834E+02  0.58134985194E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.26385908029E+02  0.26385908029E+02  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.16485612695E+03  0.16485612695E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.33727661632E+02  0.31770522418E+01 -0.13006804493E+03  0.15633866339E+03  0.79852567520E+02 0.  0.
      -11    1    3    3    0    0 -0.58588072932E+02 -0.73474789915E+01 -0.79673680705E+02  0.99168760880E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24860411300E+02  0.10524531233E+02 -0.50394364227E+02  0.57169902514E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.33727661632E+02 -0.31770522418E+01 -0.84021739853E+01  0.34903371582E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.22004668591E+02  0.22004668591E+02  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.24615062661E+03  0.24615062661E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.49020288210E+02  0.13945952132E+02 -0.16158505502E+03  0.18746239080E+03  0.80218076019E+02 0.  0.
      -11    1    3    3    0    0  0.40119503029E+02 -0.27982972213E+02 -0.11005452201E+03  0.12043512391E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.89007851808E+01  0.41928924345E+02 -0.51530533012E+02  0.67027266885E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.49020288210E+02 -0.13945952132E+02 -0.62560903000E+02  0.80692904405E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.13406314576E+03  0.13406314576E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.36646974297E+03  0.36646974297E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.16561267559E+02  0.81042951400E+02 -0.34333537193E+03  0.36215865479E+03  0.80233895993E+02 0.  0.
      -11    1    3    3    0    0 -0.60246957908E+01  0.23473493049E+02 -0.16015825391E+02  0.29048382025E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22585963350E+02  0.57569458351E+02 -0.32731954654E+03  0.33311027277E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.16561267559E+02 -0.81042951400E+02  0.11092877473E+03  0.13837423394E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.13051317934E+02  0.13051317934E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.15862727492E+04  0.15862727492E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.22599328008E+02 -0.13067887311E+03 -0.86691854295E+03  0.88067848860E+03  0.80368791642E+02 0.  0.
      -11    1    3    3    0    0  0.24073629704E+02 -0.53549332384E+02 -0.46986851859E+03  0.47352243390E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.46672957713E+02 -0.77129540724E+02 -0.39705002436E+03  0.40715605470E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.22599328008E+02  0.13067887311E+03 -0.70630288836E+03  0.71864557858E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.31510019859E+03  0.31510019859E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.43411767743E+02  0.43411767743E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.30155412335E+02  0.85081596732E+02  0.77181100172E+02  0.14407939259E+03  0.81570350924E+02 0.  0.
      -11    1    3    3    0    0 -0.57779889398E+01  0.94753158795E+02  0.54863129437E+02  0.10964264330E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24377423395E+02 -0.96715620623E+01  0.22317970735E+02  0.34436749292E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.30155412335E+02 -0.85081596732E+02  0.19450733067E+03  0.21443257374E+03  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14844301753E+03  0.14844301753E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.46740714897E+02  0.46740714897E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.31289881023E+02 -0.59266212226E+02  0.27945266094E+02  0.95526113527E+02  0.62070604173E+02 0.  0.
      -11    1    3    3    0    0  0.12659628781E+02 -0.10058310215E+02 -0.19043753456E+02  0.24982000539E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18630252242E+02 -0.49207902011E+02  0.46989019550E+02  0.70544112988E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.31289881023E+02  0.59266212226E+02  0.73757036539E+02  0.99657618901E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.11449025088E+04  0.11449025088E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.40928621044E+01  0.40928621044E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.16463413418E+02  0.35263600962E+02  0.95322480524E+03  0.95741604457E+03  0.80581558349E+02 0.  0.
      -11    1    3    3    0    0  0.40671006171E+02  0.24546160239E+02  0.30740259805E+03  0.31105144593E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24207592753E+02  0.10717440723E+02  0.64582220718E+03  0.64636459864E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.16463413418E+02 -0.35263600962E+02  0.18758484150E+03  0.19157932637E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.48067230059E+03  0.48067230059E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.43611065617E+02  0.43611065617E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.67827835434E+02 -0.42962510135E+02  0.42903259919E+03  0.44359351846E+03  0.79119188044E+02 0.  0.
      -11    1    3    3    0    0 -0.29191881703E+02  0.22397971184E+02  0.14116985280E+03  0.14588612823E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.38635953731E+02 -0.65360481320E+02  0.28786274639E+03  0.29770739023E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.67827835434E+02  0.42962510135E+02  0.80286357845E+01  0.80689847746E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.54154736030E+03  0.54154736030E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15854787273E+02  0.15854787273E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.31948192941E+02  0.12428111932E+02  0.51390512593E+03  0.52115178333E+03  0.79533375458E+02 0.  0.
      -11    1    3    3    0    0 -0.57647508863E+01 -0.11991114463E+02  0.14306425297E+02  0.19536964545E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.37712943827E+02  0.24419226395E+02  0.49959870064E+03  0.50161481879E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.31948192941E+02 -0.12428111932E+02  0.11787447088E+02  0.36250364236E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.24938755393E+03  0.24938755393E+03  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.37148676788E+02  0.37148676788E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.32385754794E+02 -0.32076623842E+02  0.27500921771E+02  0.96257858155E+02  0.80196805720E+02 0.  0.
      -11    1    3    3    0    0 -0.98955440893E-01  0.25318867573E+02  0.14892425733E+01  0.25362821034E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32484710235E+02 -0.57395491415E+02  0.26011679198E+02  0.70895037122E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.32385754794E+02  0.32076623842E+02  0.18473795537E+03  0.19027837257E+03  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.26292663583E+01  0.26292663583E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.18393731542E+04  0.18393731542E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.70898945921E+01  0.33665429364E+02 -0.16365569400E+04  0.16388806792E+04  0.80172532368E+02 0.  0.
      -11    1    3    3    0    0 -0.10629178102E+02  0.52387197751E+02 -0.66766903403E+03  0.66980544706E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35392835097E+01 -0.18721768387E+02 -0.96888790600E+03  0.96907523213E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.70898945921E+01 -0.33665429364E+02 -0.20018694785E+03  0.20312174140E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.22593125438E+02  0.22593125438E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.24275645546E+03  0.24275645546E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.10519875142E+02  0.31608601565E+02 -0.70306043547E+02  0.11183418175E+03  0.80337867675E+02 0.  0.
      -11    1    3    3    0    0 -0.18815098349E+02  0.62679394006E+01 -0.80786141562E+02  0.83184708082E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.82952232071E+01  0.25340662165E+02  0.10480098015E+02  0.28649473667E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.10519875142E+02 -0.31608601565E+02 -0.14985728648E+03  0.15351539915E+03  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.33906646628E+03  0.33906646628E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.32831498344E+02  0.32831498344E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.36597272711E+02 -0.40299924406E+02  0.30122885872E+03  0.31723074038E+03  0.83265076964E+02 0.  0.
      -11    1    3    3    0    0  0.19132504306E+02 -0.38979619551E+02  0.11952199734E+03  0.12716513402E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.55729777017E+02 -0.13203048553E+01  0.18170686138E+03  0.19006560636E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.36597272711E+02  0.40299924406E+02  0.50061092210E+01  0.54667224245E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.30204855156E+03  0.30204855156E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11642082615E+02  0.11642082615E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.22120942749E+02 -0.20722937184E+02  0.15964804780E+03  0.17946492526E+03  0.76166816913E+02 0.  0.
      -11    1    3    3    0    0 -0.32911227287E+02 -0.39741161863E+02  0.68668003039E+02  0.85894141064E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10790284539E+02  0.19018224679E+02  0.90980044757E+02  0.93570784192E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.22120942749E+02  0.20722937184E+02  0.13075842115E+03  0.13422570892E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.72754444436E+02  0.72754444436E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.65853128253E+02  0.65853128253E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14600570856E+02  0.37975262490E+02  0.24717441651E+02  0.94192355059E+02  0.81276999202E+02 0.  0.
      -11    1    3    3    0    0  0.18670851888E+02  0.94528010454E+01  0.51042066517E+02  0.55165647936E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.40702810323E+01  0.28522461444E+02 -0.26324624866E+02  0.39026707123E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14600570856E+02 -0.37975262490E+02 -0.17816125467E+02  0.44415217630E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14675333463E+03  0.14675333463E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.41817945407E+02  0.41817945407E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.57938756394E+01  0.31570926322E+02  0.12412236535E+03  0.15117565949E+03  0.80108838837E+02 0.  0.
      -11    1    3    3    0    0 -0.41386366076E+02  0.19821764771E+02  0.48464401622E+02  0.66742279555E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35592490437E+02  0.11749161551E+02  0.75657963724E+02  0.84433379936E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.57938756394E+01 -0.31570926322E+02 -0.19186976119E+02  0.37395620550E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.66051340160E+02  0.66051340160E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.12921570176E+03  0.12921570176E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.38079810584E+02 -0.28921622946E+02 -0.96725150226E+02  0.13684736389E+03  0.84171931596E+02 0.  0.
      -11    1    3    3    0    0  0.23270937854E+02  0.28801971429E+02 -0.41223755122E+02  0.55411985104E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.14808872730E+02 -0.57723594375E+02 -0.55501395104E+02  0.81435378783E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.38079810584E+02  0.28921622946E+02  0.33560788629E+02  0.58419678031E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.88655045533E+01  0.88655045533E+01  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.79643893257E+03  0.79643893257E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.37842974121E+02 -0.25715612617E+02 -0.70474451654E+03  0.71067879578E+03  0.79411168995E+02 0.  0.
      -11    1    3    3    0    0  0.12177730345E+01 -0.42628098491E+02 -0.48349421177E+03  0.48537129145E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39060747156E+02  0.16912485874E+02 -0.22125030477E+03  0.22530750433E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.37842974121E+02  0.25715612617E+02 -0.82828911484E+02  0.94625641346E+02  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.23534056623E+02  0.23534056623E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.37593546614E+03  0.37593546614E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.12051232104E+02  0.74374650658E+02 -0.26008378886E+03  0.28030843877E+03  0.72473600433E+02 0.  0.
      -11    1    3    3    0    0 -0.12576767641E+02  0.42662432857E+02 -0.52184768550E+02  0.68567545750E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24627999745E+02  0.31712217802E+02 -0.20789902031E+03  0.21174089302E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.12051232104E+02 -0.74374650658E+02 -0.92317620657E+02  0.11916108400E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.26779224635E+03  0.26779224635E+03  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.72473659337E+02  0.72473659337E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.55732666127E+02  0.11129429392E+03  0.93205307640E+02  0.17927003072E+03  0.89207424630E+02 0.  0.
      -11    1    3    3    0    0 -0.85524162645E+01  0.24112840093E+01  0.41869928494E+02  0.42802441830E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.64285082392E+02  0.10888300991E+03  0.51335379146E+02  0.13646758889E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.55732666127E+02 -0.11129429392E+03  0.10211327937E+03  0.16099587496E+03  0.00000000000E+00 0.  1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.46388741853E+03  0.46388741853E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14251866627E+02  0.14251866627E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.17535817535E+02 -0.47383493276E+02  0.17523554650E+03  0.19912662721E+03  0.79945084737E+02 0.  0.
      -11    1    3    3    0    0 -0.44543180529E+02 -0.10551058114E+02  0.62333004478E+02  0.77335782185E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.27007362994E+02 -0.36832435162E+02  0.11290254202E+03  0.12179084502E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.17535817535E+02  0.47383493276E+02  0.27440000540E+03  0.27901265795E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.27005761571E+03  0.27005761571E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.79191603246E+02  0.79191603246E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.13240367194E+02  0.12292360474E+03  0.41677928378E+02  0.15549007889E+03  0.84584839021E+02 0.  0.
      -11    1    3    3    0    0  0.87582221020E+01  0.11905997291E+03  0.52802504892E+02  0.13053768853E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21998589296E+02  0.38636318325E+01 -0.11124576514E+02  0.24952390358E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.13240367194E+02 -0.12292360474E+03  0.14918808409E+03  0.19375914007E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12795564547E+02  0.12795564547E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.47461224197E+03  0.47461224197E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.57017439799E+02 -0.74355780812E+01 -0.25997777871E+03  0.27753828206E+03  0.78312044559E+02 0.  0.
      -11    1    3    3    0    0  0.92738256377E+01 -0.43822496016E+01  0.26457250617E+01  0.10592819013E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47743614161E+02 -0.30533284796E+01 -0.26262350377E+03  0.26694546305E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.57017439799E+02  0.74355780812E+01 -0.20183889871E+03  0.20986952446E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13761837779E+03  0.13761837779E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.38085309428E+02  0.38085309428E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.18453114026E+02  0.46198571159E+02  0.66685873360E+02  0.11609023560E+03  0.80963644315E+02 0.  0.
      -11    1    3    3    0    0 -0.13379882953E+02  0.61337553448E+02  0.18681868119E+02  0.65500602495E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.50732310726E+01 -0.15138982288E+02  0.48004005241E+02  0.50589633102E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.18453114026E+02 -0.46198571159E+02  0.32847194999E+02  0.59613451617E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.33082890506E+02  0.33082890506E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.26357703179E+03  0.26357703179E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.45931155314E+02 -0.33821440156E+02 -0.46481991756E+02  0.10400989760E+03  0.73511375975E+02 0.  0.
      -11    1    3    3    0    0 -0.18497511260E+02 -0.58279319820E+01 -0.22676187427E+02  0.29838434782E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.64428666574E+02 -0.27993508174E+02 -0.23805804330E+02  0.74171462816E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.45931155314E+02  0.33821440156E+02 -0.18401214953E+03  0.19265002470E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.28025022782E+02  0.28025022782E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.59609666031E+03  0.59609666031E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.29383368699E+02  0.48229861982E+02 -0.55826327354E+03  0.56680060541E+03  0.80097077097E+02 0.  0.
      -11    1    3    3    0    0  0.89149321774E+01  0.50418524934E+02 -0.19846210666E+03  0.20496026798E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.38298300877E+02 -0.21886629521E+01 -0.35980116688E+03  0.36184033742E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.29383368699E+02 -0.48229861982E+02 -0.98083639854E+01  0.57321077685E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.27739220982E+01  0.27739220982E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.22273948506E+04  0.22273948506E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.62524133777E+01 -0.43415461146E+02 -0.19416896582E+04  0.19438575807E+04  0.80619913226E+02 0.  0.
      -11    1    3    3    0    0 -0.32580112588E+01 -0.14376197494E+02 -0.55613658035E+02  0.57534065143E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.95104246365E+01 -0.29039263651E+02 -0.18860760001E+04  0.18863235155E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.62524133777E+01  0.43415461146E+02 -0.28293127032E+03  0.28631119200E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.47214571110E+02  0.47214571110E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.28340630829E+03  0.28340630829E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.85627865909E+02  0.55166569141E+02 -0.12949556502E+03  0.18310967669E+03  0.79903507854E+02 0.  0.
      -11    1    3    3    0    0 -0.84886985154E+02  0.72575577151E+02 -0.10712801599E+03  0.15475602236E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.74088075477E+00 -0.17409008010E+02 -0.22367549037E+02  0.28353654335E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.85627865909E+02 -0.55166569141E+02 -0.10669617216E+03  0.14751120271E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19862249542E+03  0.19862249542E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.26854743189E+02  0.26854743189E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.42557289062E+02 -0.25438827979E+02  0.13363648725E+03  0.16292925550E+03  0.78923854151E+02 0.  0.
      -11    1    3    3    0    0 -0.13879119318E+02 -0.31085779642E+02  0.68964139003E+02  0.76909089953E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.56436408380E+02  0.56469516630E+01  0.64672348244E+02  0.86020165550E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.42557289062E+02  0.25438827979E+02  0.38131264983E+02  0.62547983105E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.89545104230E+02  0.89545104230E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.42745202229E+02  0.42745202229E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.34127716469E+02 -0.92023825617E+01  0.39852768861E+02  0.96267431294E+02  0.80185973000E+02 0.  0.
      -11    1    3    3    0    0  0.14241955489E+02  0.15106544403E+02 -0.96655158255E+01  0.22901161021E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.48369671958E+02 -0.24308926965E+02  0.49518284686E+02  0.73366270273E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.34127716469E+02  0.92023825617E+01  0.69471331405E+01  0.36022875164E+02  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.66799024333E+01  0.66799024333E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.51390245246E+03  0.51390245246E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.29053815473E+02 -0.21025194803E+02 -0.30463279938E+03  0.31484273771E+03  0.70983265795E+02 0.  0.
      -11    1    3    3    0    0  0.17488981180E+02 -0.42220252831E+02 -0.11610237109E+03  0.12477249210E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11564834293E+02  0.21195058027E+02 -0.18853042829E+03  0.19007024561E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.29053815473E+02  0.21025194803E+02 -0.20258975065E+03  0.20573961718E+03  0.00000000000E+00 0. -1.


 6   1  0.4514800E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21929483601E+03  0.21929483601E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.18169599239E+02  0.18169599239E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.34628427257E+02 -0.12547840950E+02  0.15881961196E+03  0.18137217039E+03  0.79470867373E+02 0.  0.
      -11    1    3    3    0    0 -0.15991554477E+01 -0.24801592254E+02  0.85039590287E+01  0.26267729168E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36227582705E+02  0.12253751304E+02  0.15031565293E+03  0.15510444122E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.34628427257E+02  0.12547840950E+02  0.42305624814E+02  0.56092264866E+02  0.00000000000E+00 0. -1.


pythia8-8.1.86.orig/examples/main09.cc0000644000175000017500000000521012357054675015575 0ustar  sunsun// main09.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Generate a predetermined second hard interaction.

#include "Pythia8/Pythia.h"

using namespace Pythia8;
 
int main() {

  // Generator.
  Pythia pythia;
  Event& event   = pythia.event;

  // Select first hard process (just a small sample of possibilities).
  //pythia.readString("HardQCD:all = on");
  pythia.readString("Top:all = on");
  //pythia.readString("WeakSingleBoson:ffbar2gmZ = on");
  //pythia.readString("WeakSingleBoson:ffbar2W = on");

  // Select second hard process (complete list of options).
  pythia.readString("SecondHard:generate = on");
  //pythia.readString("SecondHard:TwoJets = on");
  pythia.readString("SecondHard:PhotonAndJet = on");
  //pythia.readString("SecondHard:TwoPhotons = on");
  //pythia.readString("SecondHard:SingleGmZ = on");
  //pythia.readString("SecondHard:SingleW = on");
  //pythia.readString("SecondHard:TwoBJets = on");
  
  // Kinematics cuts, common for the two.
  pythia.readString("PhaseSpace:mHatMin = 40.");
  pythia.readString("PhaseSpace:pTHatMin = 20.");

  // Initialize for LHC at 8 TeV.
  pythia.readString("Beams:eCM = 8000.");
  pythia.init();

  // Histogram.
  Hist pTfirst("pT first collision",    100, 0., 400.);
  Hist pTsecond("pT second collision",  100, 0., 200.);
  Hist pTdiff("pT first-second collision", 100, -100., 300.);
  Hist nMult("number of multiparton interactions", 100, -0.5, 99.5);
  Hist bMore("b enhancement factor",    100, 0., 10.);
  Hist nChg("charged multiplicity", 100, -0.5, 999.5);

  // Generate events.
  for (int iev = 0; iev < 1000; ++iev) {
    pythia.next();

    // Histogram pT.
    double pT1 = pythia.info.pTMPI(0);
    double pT2 = pythia.info.pTMPI(1);
    pTfirst.fill( pT1 );
    pTsecond.fill( pT2 );
    pTdiff.fill( pT1 - pT2 );

    // Histogram multiparton interactions
    double nMPI = pythia.info.nMPI();
    nMult.fill( nMPI );
    bMore.fill( pythia.info.enhanceMPI() );

    // Histogram charged multiplicity.
    int nCharged = 0;
    for (int i = 0; i < event.size(); ++i)
      if (event[i].isFinal() && event[i].isCharged()) ++nCharged;
    nChg.fill( nCharged );

  }

  // Compare full statistics listing with what is set in info.
  pythia.stat();
  cout << scientific << setprecision(3) << "\n From pythia.info: sigma = "
       << pythia.info.sigmaGen() << " +- " << pythia.info.sigmaErr()
       << endl;

  // Print histograms.
  cout << pTfirst << pTsecond << pTdiff << nMult << bMore << nChg;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main86.cc0000644000175000017500000003006512357054702015577 0ustar  sunsun// main86.cc is a part of the PYTHIA event generator.
// Copyright (C) 2011 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do UMEPS merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include 

#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"
// Following line to be used with HepMC 2.04 onwards.
#include "HepMC/Units.h"

using namespace Pythia8;

//==========================================================================

// Example main programm to illustrate merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments ("< xsecLO;
  vector nAcceptLO;

  cout << endl << endl << endl;
  cout << "Start estimating umeps tree level cross section" << endl;

  while(njetcounterLO >= 0) {

    // From njet, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();

    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Start generation loop
    for( int iEvent=0; iEvent 0 )
      njetcounterLO--;
    else
      break;

  } // end loop over different jet multiplicities


  // Switch off cross section estimation.
  pythia.settings.flag("Merging:doXSectionEstimate", false);

  // Switch showering and multiple interaction back on.
  pythia.settings.flag("PartonLevel:FSR",fsr);
  pythia.settings.flag("PartonLevel:ISR",isr);
  pythia.settings.flag("HadronLevel:all",had);
  pythia.settings.flag("PartonLevel:MPI",mpi);

  // Declare sample cross section for output.
  double sigmaTemp  = 0.;
  vector sampleXStree;
  vector sampleXSsubtTree;
  // Cross section an error.
  double sigmaTotal  = 0.;
  double errorTotal  = 0.;

  int sizeLO    = int(xsecLO.size());
  njetcounterLO = nMaxLO;
  iPathTree     = iPath + "_tree";

  while(njetcounterLO >= 0){

    // From njet, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();

    pythia.settings.flag("Merging:doUMEPSTree",true);
    pythia.settings.flag("Merging:doUMEPSSubt",false);
    pythia.settings.mode("Merging:nRecluster",0);
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start tree level treatment for " << njetcounterLO << " jets"
         << endl;

    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterLO;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weight*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weight*normhepmc;
      sigmaTemp  += weight*normhepmc;
      errorTotal += pow2(weight*normhepmc);
      // Report cross section to hepmc
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXStree.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterLO > 0 )
      njetcounterLO--;
    else
      break;

  }

  cout << endl << endl << endl;
  cout << "Do UMEPS subtraction" << endl;

  int njetcounterLS   = nMaxLO;
  string iPathSubt    = iPath + "_tree";

  while(njetcounterLS >= 1){

    // From njet, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLS << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathSubt+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathSubt + in.str();

    pythia.settings.flag("Merging:doUMEPSTree",false);
    pythia.settings.flag("Merging:doUMEPSSubt",true);
    pythia.settings.mode("Merging:nRecluster",1);
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start subtractive treatment for " << njetcounterLS << " jets"
         << endl;

    pythia.settings.mode("Merging:nRequested", njetcounterLS);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterLS;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weight*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weight*normhepmc;
      sigmaTemp  += weight*normhepmc;
      errorTotal += pow2(weight*normhepmc);
      // Report cross section to hepmc.
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXSsubtTree.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterLS > 1 )
      njetcounterLS--;
    else
      break;
  }

  // Print cross section information.
  cout << endl << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Sample cross sections after UMEPS merging         |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading order cross sections (mb):                |" << endl;
  for (int i = 0; i < int(sampleXStree.size()); ++i)
    cout << " |     " << sampleXStree.size()-1-i << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXStree[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading-order subtractive cross sections (mb):    |" << endl;
  for (int i = 0; i < int(sampleXSsubtTree.size()); ++i)
    cout << " |     " << sampleXSsubtTree.size()-1-i+1 << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXSsubtTree[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " | Inclusive cross sections:                         |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | UMEPS merged inclusive cross section:             |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << sigmaTotal << "  +-  " << setw(17) << sqrt(errorTotal) << " mb "
       << "   |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | LO inclusive cross section:                       |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << xsecLO.back() << " mb                           |" << endl;
  cout << " |                                                   |" << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << endl << endl;

  // Done
  return 0;

}
pythia8-8.1.86.orig/examples/main86.cmnd0000644000175000017500000000203312357054702016125 0ustar  sunsun! main86.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// Number of events generated
Main:numberOfEvents        = 1000

// Specify shower options
HadronLevel:all            = on
PartonLevel:MPI            = on

// Core process for merging
Merging:Process            = pp>LEPTONS,NEUTRINOS

// Maximal number of additional LO jets.
Merging:nJetMax            = 2

// Merging scale value.
Merging:TMS                = 15

// Switch off enforced rapidity ordering
SpaceShower:rapidityOrder  = off

// Since UMEPS is a tree-level merging method, both leading-order and
// next-to-neading order PDFs are allowed. However, from parton shower
// considerations, leading-order PDFs are preferred, since multiparton
// interactions probe the incoming hadron at small momentum scales.
// Example PDF files generated with CTEQ6M PDFs.
PDF:useLHAPDF              = on
PDF:LHAPDFset              = cteq6m.LHpdf
SpaceShower:alphaSvalue    = 0.118
TimeShower:alphaSvalue     = 0.118
pythia8-8.1.86.orig/examples/cmssm.spc0000644000175000017500000001423612357054674016031 0ustar  sunsun# SOFTSUSY3.3.0 SLHA compliant output
# B.C. Allanach, Comput. Phys. Commun. 143 (2002) 305-331, hep-ph/0104145
# CMSSM 10.1.1 input - see arXiv:1109.3859
Block SPINFO          # Program information
     1    SOFTSUSY    # spectrum calculator
     2    3.3.0       # version number
Block MODSEL  # Select model
     1    1   # sugra
Block SMINPUTS             # Standard Model inputs
     1    1.27934000e+02   # alpha_em^(-1)(MZ) SM MSbar
     2    1.16637000e-05   # G_Fermi
     3    1.17200000e-01   # alpha_s(MZ)MSbar
     4    9.11876000e+01   # MZ(pole)
     5    4.25000000e+00   # mb(mb)
     6    1.74300000e+02   # Mtop(pole)
     7    1.77700000e+00   # Mtau(pole)
Block MINPAR               # SUSY breaking input parameters
     1    1.25000000e+02   # m0
     2    5.00000000e+02   # m12
     3    1.00000000e+01   # tanb
     4    1.00000000e+00   # sign(mu)
     5    0.00000000e+00   # A0
# Low energy data in SOFTSUSY: MIXING=0 TOLERANCE=1.00000000e-03
# mgut=1.87825797e+16 GeV
Block MASS                      # Mass spectrum
# PDG code     mass             particle
        24     8.04613815e+01   # MW
        25     1.15412339e+02   # h0
        35     7.21892898e+02   # H0
        36     7.21606682e+02   # A0
        37     7.26310615e+02   # H+
   1000021     1.14687814e+03   # ~g
   1000022     2.04168238e+02   # ~neutralino(1)
   1000023     3.86197315e+02   # ~neutralino(2)
   1000024     3.86332261e+02   # ~chargino(1)
   1000025    -6.39638883e+02   # ~neutralino(3)
   1000035     6.53032956e+02   # ~neutralino(4)
   1000037     6.52679913e+02   # ~chargino(2)
   1000001     1.05561088e+03   # ~d_L
   1000002     1.05278695e+03   # ~u_L
   1000003     1.05560831e+03   # ~s_L
   1000004     1.05278437e+03   # ~c_L
   1000005     9.65462335e+02   # ~b_1
   1000006     8.03540912e+02   # ~t_1
   1000011     3.61778036e+02   # ~e_L
   1000012     3.52902884e+02   # ~nue_L
   1000013     3.61861990e+02   # ~mu_L
   1000014     3.52899536e+02   # ~numu_L
   1000015     2.22692429e+02   # ~stau_1
   1000016     3.51730554e+02   # ~nu_tau_L
   2000001     1.01102319e+03   # ~d_R
   2000002     1.01434248e+03   # ~u_R
   2000003     1.01102050e+03   # ~s_R
   2000004     1.01433974e+03   # ~c_R
   2000005     1.00775879e+03   # ~b_2
   2000006     1.01102814e+03   # ~t_2
   2000011     2.29874717e+02   # ~e_R
   2000013     2.29864278e+02   # ~mu_R
   2000015     3.62940076e+02   # ~stau_2
Block alpha                     # Effective Higgs mixing parameter
          -1.06797662e-01       # alpha
Block nmix                  # neutralino mixing matrix
  1  1     9.95886986e-01   # N_{1,1}
  1  2    -1.72694202e-02   # N_{1,2}
  1  3     8.22024839e-02   # N_{1,3}
  1  4    -3.39651202e-02   # N_{1,4}
  2  1     3.74375188e-02   # N_{2,1}
  2  2     9.71264892e-01   # N_{2,2}
  2  3    -1.95766260e-01   # N_{2,3}
  2  4     1.30071184e-01   # N_{2,4}
  3  1    -3.30727556e-02   # N_{3,1}
  3  2     4.82085025e-02   # N_{3,2}
  3  3     7.03472841e-01   # N_{3,3}
  3  4     7.08313557e-01   # N_{3,4}
  4  1    -7.55892561e-02   # N_{4,1}
  4  2     2.32426798e-01   # N_{4,2}
  4  3     6.78265645e-01   # N_{4,3}
  4  4    -6.92978905e-01   # N_{4,4}
Block Umix                  # chargino U mixing matrix 
  1  1     9.60950435e-01   # U_{1,1}
  1  2    -2.76720547e-01   # U_{1,2}
  2  1     2.76720547e-01   # U_{2,1}
  2  2     9.60950435e-01   # U_{2,2}
Block Vmix                  # chargino V mixing matrix 
  1  1     9.82582136e-01   # V_{1,1}
  1  2    -1.85828808e-01   # V_{1,2}
  2  1     1.85828808e-01   # V_{2,1}
  2  2     9.82582136e-01   # V_{2,2}
Block stopmix               # stop mixing matrix
  1  1     4.24985787e-01   # F_{11}
  1  2     9.05200023e-01   # F_{12}
  2  1     9.05200023e-01   # F_{21}
  2  2    -4.24985787e-01   # F_{22}
Block sbotmix               # sbottom mixing matrix
  1  1     9.75941340e-01   # F_{11}
  1  2     2.18033254e-01   # F_{12}
  2  1    -2.18033254e-01   # F_{21}
  2  2     9.75941340e-01   # F_{22}
Block staumix               # stau mixing matrix
  1  1     1.42739201e-01   # F_{11}
  1  2     9.89760335e-01   # F_{12}
  2  1     9.89760335e-01   # F_{21}
  2  2    -1.42739201e-01   # F_{22}
Block gauge Q= 8.73811408e+02  # SM gauge couplings
     1     3.62408332e-01   # g'(Q)MSSM DRbar
     2     6.43000889e-01   # g(Q)MSSM DRbar
     3     1.06090510e+00   # g3(Q)MSSM DRbar
Block yu Q= 8.73811408e+02  
  3  3     8.67028746e-01   # Yt(Q)MSSM DRbar
Block yd Q= 8.73811408e+02  
  3  3     1.35275115e-01   # Yb(Q)MSSM DRbar
Block ye Q= 8.73811408e+02  
  3  3     1.00502013e-01   # Ytau(Q)MSSM DRbar
Block hmix Q= 8.73811408e+02 # Higgs mixing parameters
     1     6.34225757e+02    # mu(Q)MSSM DRbar
     2     9.66949856e+00    # tan beta(Q)MSSM DRbar
     3     2.44043659e+02    # higgs vev(Q)MSSM DRbar
     4     5.40020729e+05    # mA^2(Q)MSSM DRbar
Block msoft Q= 8.73811408e+02  # MSSM DRbar SUSY breaking parameters
     1     2.09217931e+02      # M_1(Q)
     2     3.88513213e+02      # M_2(Q)
     3     1.11375823e+03      # M_3(Q)
    21     1.09175993e+05      # mH1^2(Q)
    22    -3.89577899e+05      # mH2^2(Q)
    31     3.54297503e+02      # meL(Q)
    32     3.54294169e+02      # mmuL(Q)
    33     3.53288859e+02      # mtauL(Q)
    34     2.22024882e+02      # meR(Q)
    35     2.22014061e+02      # mmuR(Q)
    36     2.18730815e+02      # mtauR(Q)
    41     1.01868349e+03      # mqL1(Q)
    42     1.01868086e+03      # mqL2(Q)
    43     9.38174894e+02      # mqL3(Q)
    44     9.80660335e+02      # muR(Q)
    45     9.80657548e+02      # mcR(Q)
    46     8.05547302e+02      # mtR(Q)
    47     9.76062679e+02      # mdR(Q)
    48     9.76059936e+02      # msR(Q)
    49     9.71058708e+02      # mbR(Q)
Block au Q= 8.73811408e+02  
  1  1    -1.13744947e+03      # Au(Q)MSSM DRbar
  2  2    -1.13744435e+03      # Ac(Q)MSSM DRbar
  3  3    -8.73322525e+02      # At(Q)MSSM DRbar
Block ad Q= 8.73811408e+02  
  1  1    -1.39629474e+03      # Ad(Q)MSSM DRbar
  2  2    -1.39628999e+03      # As(Q)MSSM DRbar
  3  3    -1.30365153e+03      # Ab(Q)MSSM DRbar
Block ae Q= 8.73811408e+02  
  1  1    -2.99482647e+02      # Ae(Q)MSSM DRbar
  2  2    -2.99477266e+02      # Amu(Q)MSSM DRbar
  3  3    -2.97855048e+02      # Atau(Q)MSSM DRbar
pythia8-8.1.86.orig/examples/main13.cc0000644000175000017500000000376312357054676015604 0ustar  sunsun// main13.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how two Les Houches Event Files can be combined in PYTHIA,
// just like in main12.cc, but here with the difference that information is
// stored in main13.cmnd and read out using the subruns possibility.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
int main() {

  // Book histogram.
  Hist nCharged("charged particle multiplicity",100,-0.5,399.5);

  // Generator.
  Pythia pythia;

  // Read in subrun-independent data from main13.cmnd.
  pythia.readFile( "main13.cmnd", 0);
                          
  // Extract data to be used in main program. Set counters.
  int nSubrun = pythia.mode("Main:numberOfSubruns");
  int nAbort  = pythia.mode("Main:timesAllowErrors");
  int iAbort  = 0;

  // Begin loop over subruns.
  for (int iSubrun = 1; iSubrun <= nSubrun; ++iSubrun) {

    // Read in subrun-specific data from main13.cmnd.
    pythia.readFile( "main13.cmnd", iSubrun);

    // Initialize generator.
    pythia.init();

    // Begin infinite event loop - to be exited at end of file.
    for (int iEvent = 0; ; ++iEvent) {

      // Generate next event.
      if (!pythia.next()) {

        // Leave event loop if at end of file.
        if (pythia.info.atEndOfFile()) break;

        // First few failures write off as "acceptable" errors, then quit.
        if (++iAbort < nAbort) continue;
        break;
      }

      // Sum up final charged multiplicity and fill in histogram.
      int nChg = 0;
      for (int i = 0; i < pythia.event.size(); ++i)
      if (pythia.event[i].isFinal() && pythia.event[i].isCharged()) ++nChg;
      nCharged.fill(nChg);

    // End of event loop.
    }

  // End of subrun loop.
  }

  // Give statistics. Print histogram.
  pythia.stat();
  cout << nCharged;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main15.cc0000644000175000017500000001637212357054676015606 0ustar  sunsun// main15.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how either
// (a) B decays (sections marked "Repeated decays:), or
// (b) all hadronization (sections marked "Repeated hadronization:")
// could be repeated a number of times for each event,
// to improve statistics when this could be a problem.
// Option (a) is faster than (b), but less generic.

// Note 1: the compartmentalization of hadronization in forceHadronLevel
// from the rest of the event processing somewhat limits the ways the
// program can retry in case of problems, and so an occasional abort
// may occur more easily than normally.

// Note 2: for simple cases, where it is only one particle that is to be
// decayed repeatedly, the event[i].undoDecay() method is handy.
// When used for several particles, remember that the position of
// some particles may be moved by the undoDecay step.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
 
int main() {

  // Main switches: redo B decays only or redo all hadronization, but not both.
  bool redoBDecays = false;
  bool redoHadrons = true;
  if (redoHadrons) redoBDecays = false;

  // Number of events. Number to list redone events.
  int nEvent = 100;
  int nListRedo = 1;

  // Number of times decays/hadronization should be redone for each event.
  int nRepeat = 10;
  if (!redoBDecays && !redoHadrons) nRepeat = 1;

  // Generator. Shorthand for event.
  Pythia pythia;
  Event& event = pythia.event;

  // Simulate b production above given pTmin scale.
  // Warning: these processes do not catch all possible production modes.
  // You would need to use HardQCD:all or even SoftQCD:nonDiffractive for that.
  pythia.readString("HardQCD:gg2bbbar = on");
  pythia.readString("HardQCD:qqbar2bbbar = on");
  pythia.readString("PhaseSpace:pTHatMin = 50.");

  // Repeated decays: list of weakly decaying B hadrons.
  // Note: this list is overkill; some will never be produced.
  int bCodes[28] = {511, 521, 531, 541, 5122, 5132, 5142, 5232, 5242,
    5332, 5342, 5412, 5414, 5422, 5424, 5432, 5434, 5442, 5444, 5512,
    5514, 5522, 5524, 5532, 5534, 5542, 5544, 5544 };
  int nCodes = 28;

  // Repeated decays: location of B handrons.
  vector iBHad;
  int nBHad = 0;

  // Repeated hadronization: spare copy of event.
  Event savedEvent;

  // Repeated hadronization: switch off normal HadronLevel call.
  if (redoHadrons) pythia.readString("HadronLevel:all = off");

  // Initialize for LHC energies; default 14 TeV
  pythia.init();

  // Histogram invariant mass of muon pairs.
  Hist nBperEvent("number of b quarks in an event", 10, -0.5, 9.5);
  Hist nSameEvent("number of times same event is used", 10, -0.5, 9.5);
  Hist oppSignMass("mass of opposite-sign muon pair", 100, 0.0, 100.0);
  Hist sameSignMass("mass of same-sign muon pair", 100, 0.0, 100.0);

  // Begin event loop.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Repeated decays: switch off decays of weakly decaying B hadrons.
    // (More compact solution than repeated readString(..).)
    if (redoBDecays) for (int iC = 0; iC < nCodes; ++iC)
      pythia.particleData.mayDecay( bCodes[iC], false);

    // Generate event. Skip it if error.
    if (!pythia.next()) continue;

    // Find and histogram number of b quarks.
    int nBquark = 0;
    int stat;
    for (int i = 0; i < event.size(); ++i) {
      stat = event[i].statusAbs();
      if (event[i].idAbs() == 5 && (stat == 62 || stat == 63)) ++nBquark;
    }
    nBperEvent.fill( nBquark );

    // Repeated decays: find all locations where B hadrons are stored.
    if (redoBDecays) {
      iBHad.resize(0);
      for (int i = 0; i < event.size(); ++i) {
        int idAbs = event[i].idAbs();
        for (int iC = 0; iC < 28; ++iC)
        if (idAbs == bCodes[iC]) {
          iBHad.push_back(i);
          break;
        }
      }

      // Repeated decays: check that #b = #B.
      nBHad = iBHad.size();
      if (nBquark != nBHad) cout << " Warning: " << nBquark
        << " b quarks but " << nBHad << " B hadrons" << endl;

      // Repeated decays: store size of current event.
      event.saveSize();

      // Repeated decays: switch back on weakly decaying B hadrons.
      for (int iC = 0; iC < nCodes; ++iC)
        pythia.particleData.mayDecay( bCodes[iC], true);
    
    //  Repeated hadronization: copy event into spare position.
    } else if (redoHadrons) {
      savedEvent = event;
    }

    // Begin loop over rounds of decays / hadronization for same event.
    int nWithPair = 0;
    for (int iRepeat = 0; iRepeat < nRepeat; ++iRepeat) {

      // Repeated decays: remove B decay products from previous round.
      if (redoBDecays) {
        if (iRepeat > 0) {
          event.restoreSize();

          // Repeated decays: mark decayed B hadrons as undecayed.
          for (int iB = 0; iB < nBHad; ++iB) event[ iBHad[iB] ].statusPos();
        }
  
        // Repeated decays: do decays of B hadrons, sequentially for products.
        // Note: modeDecays does not work for bottomonium (or heavier) states,
        // since there decays like Upsilon -> g g g also need hadronization.
        // Also, there is no provision for Bose-Einstein effects.
        if (!pythia.moreDecays()) continue;


      // Repeated hadronization: restore saved event record.
      } else if (redoHadrons) {
        if (iRepeat > 0) event = savedEvent;
  
        // Repeated hadronization: do HadronLevel (repeatedly).
        // Note: argument false needed owing to bug in junction search??
        if (!pythia.forceHadronLevel(false)) continue;
      }
  
      // List last repetition of first few events.
      if ( (redoBDecays || redoHadrons) && iEvent < nListRedo
        && iRepeat == nRepeat - 1) event.list();

      // Look for muons among decay products (also from charm/tau/...).
      vector iMuNeg, iMuPos;
      for (int i = 0; i < event.size(); ++i) {
        int id = event[i].id();
        if (id ==  13) iMuNeg.push_back(i);
        if (id == -13) iMuPos.push_back(i);
      }
      
      // Check whether pair(s) present.
      int nMuNeg = iMuNeg.size();
      int nMuPos = iMuPos.size();
      if (nMuNeg + nMuPos > 1) {
        ++nWithPair;

        // Fill masses of opposite-sign pairs.
        for (int iN = 0; iN < nMuNeg; ++iN)
        for (int iP = 0; iP < nMuPos; ++iP)
          oppSignMass.fill(
            (event[iMuNeg[iN]].p() + event[iMuPos[iP]].p()).mCalc() );

        // Fill masses of same-sign pairs.
        for (int i1 = 0; i1 < nMuNeg - 1; ++i1)
        for (int i2 = i1 + 1; i2 < nMuNeg; ++i2)
          sameSignMass.fill(
            (event[iMuNeg[i1]].p() + event[iMuNeg[i2]].p()).mCalc() );
        for (int i1 = 0; i1 < nMuPos - 1; ++i1)
        for (int i2 = i1 + 1; i2 < nMuPos; ++i2)
          sameSignMass.fill(
            (event[iMuPos[i1]].p() + event[iMuPos[i2]].p()).mCalc() );

      // Finished analysis of current round.
      }

    // End of loop over many rounds. fill number of rounds with pairs.
    }
    nSameEvent.fill( nWithPair );

  // End of event loop.
  }

  // Statistics. Histograms.
  pythia.stat();
  cout << nBperEvent << nSameEvent << oppSignMass << sameSignMass << endl;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/w_production_tree_2.lhe0000644000175000017500000070574312357054722020652 0ustar  sunsun

      


# MG    version    : 5.1.5.5


#************************************************************
#*                        MadGraph 5                        *
#*                                                          *
#*                *                       *                 *
#*                  *        * *        *                   *
#*                    * * * * 5 * * * *                     *
#*                  *        * *        *                   *
#*                *                       *                 *
#*                                                          *
#*                                                          *
#*         VERSION 1.5.5                 2012-11-18         *
#*                                                          *
#*    The MadGraph Development Team - Please visit us at    *
#*    https://server06.fynu.ucl.ac.be/projects/madgraph     *
#*                                                          *
#************************************************************
#*                                                          *
#*               Command File for MadGraph 5                *
#*                                                          *
#*     run as ./bin/mg5  filename                           *
#*                                                          *
#************************************************************
set group_subprocesses Auto
set ignore_six_quark_processes False
set gauge unitary
set complex_mass_scheme False
import model sm
define p = g u c d s u~ c~ d~ s~
define j = g u c d s u~ c~ d~ s~
define l+ = e+ mu+
define l- = e- mu-
define vl = ve vm vt
define vl~ = ve~ vm~ vt~
# Specify process(es) to run
generate p p > w+ j j , w+ > e+ ve QED=2 @1
add process p p > w- j j , w- > e- ve~ QED=2 @2
# Output processes to MadEvent directory
output -f


#*********************************************************************
#                        MadGraph/MadEvent                           *
#                   http://madgraph.hep.uiuc.edu                     *
#                                                                    *
#                          proc_card.dat                             *
#*********************************************************************
#                                                                    *
#            This Files is generated by MADGRAPH 5                   *
#                                                                    *
# WARNING: This Files is generated for MADEVENT (compatibility issue)*
#          This files is NOT a valid MG4 proc_card.dat               *
#          Running this in MG4 will NEVER reproduce the result of MG5*
#                                                                    *
#*********************************************************************
#*********************************************************************
# Process(es) requested : mg2 input                                  *
#*********************************************************************
# Begin PROCESS # This is TAG. Do not modify this line
p p > w+ j j , w+ > e+ ve @1           #Process
# Be carefull the coupling are here in MG5 convention
QED=2
end_coup           # End the couplings input
done               # this tells MG there are no more procs
# End PROCESS  # This is TAG. Do not modify this line
#*********************************************************************
# Model information                                                  *
#*********************************************************************
# Begin MODEL  # This is TAG. Do not modify this line
sm
# End   MODEL  # This is TAG. Do not modify this line
#*********************************************************************
# Start multiparticle definitions                                    *
#*********************************************************************
# Begin MULTIPARTICLES # This is TAG. Do not modify this line
# End  MULTIPARTICLES # This is TAG. Do not modify this line


######################################################################
## PARAM_CARD AUTOMATICALY GENERATED BY MG5 FOLLOWING UFO MODEL   ####
######################################################################
##                                                                  ##
##  Width set on Auto will be computed following the information    ##
##        present in the decay.py files of the model. By default,   ##
##        this is only 1->2 decay modes.                            ##
##                                                                  ##
######################################################################
###################################
## INFORMATION FOR MASS
###################################
Block mass 
    5 4.700000e+00 # MB 
    6 1.730000e+02 # MT 
   15 1.777000e+00 # MTA 
   23 9.118800e+01 # MZ 
   25 1.200000e+02 # MH 
##  Not dependent paramater.
## Those values should be edited following the 
## analytical expression. MG5 ignore those values 
## but they are important for interfacing the output of MG5
## to external program such as Pythia.
  1 0.000000 # d : 0.0 
  2 0.000000 # u : 0.0 
  3 0.000000 # s : 0.0 
  4 0.000000 # c : 0.0 
  11 0.000000 # e- : 0.0 
  12 0.000000 # ve : 0.0 
  13 0.000000 # mu- : 0.0 
  14 0.000000 # vm : 0.0 
  16 0.000000 # vt : 0.0 
  21 0.000000 # g : 0.0 
  22 0.000000 # a : 0.0 
  24 80.419002 # w+ : cmath.sqrt(MZ__exp__2/2. + cmath.sqrt(MZ__exp__4/4. - (aEW*cmath.pi*MZ__exp__2)/(Gf*sqrt__2))) 
###################################
## INFORMATION FOR SMINPUTS
###################################
Block sminputs 
    1 1.325070e+02 # aEWM1 
    2 1.166390e-05 # Gf 
    3 1.180000e-01 # aS 
###################################
## INFORMATION FOR YUKAWA
###################################
Block yukawa 
    5 4.200000e+00 # ymb 
    6 1.645000e+02 # ymt 
   15 1.777000e+00 # ymtau 
###################################
## INFORMATION FOR DECAY
###################################
DECAY   6 1.491500e+00 # WT 
DECAY  23 2.441404e+00 # WZ 
DECAY  24 2.047600e+00 # WW 
DECAY  25 5.753088e-03 # WH 
##  Not dependent paramater.
## Those values should be edited following the 
## analytical expression. MG5 ignore those values 
## but they are important for interfacing the output of MG5
## to external program such as Pythia.
DECAY  1 0.000000 # d : 0.0 
DECAY  2 0.000000 # u : 0.0 
DECAY  3 0.000000 # s : 0.0 
DECAY  4 0.000000 # c : 0.0 
DECAY  5 0.000000 # b : 0.0 
DECAY  11 0.000000 # e- : 0.0 
DECAY  12 0.000000 # ve : 0.0 
DECAY  13 0.000000 # mu- : 0.0 
DECAY  14 0.000000 # vm : 0.0 
DECAY  15 0.000000 # ta- : 0.0 
DECAY  16 0.000000 # vt : 0.0 
DECAY  21 0.000000 # g : 0.0 
DECAY  22 0.000000 # a : 0.0 


#*********************************************************************
#                       MadGraph/MadEvent                            *
#                  http://madgraph.hep.uiuc.edu                      *
#                                                                    *
#                        run_card.dat                                *
#                                                                    *
#  This file is used to set the parameters of the run.               *
#                                                                    *
#  Some notation/conventions:                                        *
#                                                                    *
#   Lines starting with a '# ' are info or comments                  *
#                                                                    *
#   mind the format:   value    = variable     ! comment             *
#*********************************************************************
#
#*******************                                                 
# Running parameters
#*******************                                                 
#                                                                    
#*********************************************************************
# Tag name for the run (one word)                                    *
#*********************************************************************
  tag_1     = run_tag ! name of the run 
#*********************************************************************
# Run to generate the grid pack                                      *
#*********************************************************************
  .false.     = gridpack  !True = setting up the grid pack
#*********************************************************************
# Number of events and rnd seed                                      *
# Warning: Do not generate more than 1M events in a single run       *
# If you want to run Pythia, avoid more than 50k events in a run.    *
#*********************************************************************
  1000        = nevents ! Number of unweighted events requested 
      387 = iseed   ! rnd seed (0=assigned automatically=default))
#*********************************************************************
# Collider type and energy                                           *
# lpp: 0=No PDF, 1=proton, -1=antiproton, 2=photon from proton,      *
#                                         3=photon from electron     *
#*********************************************************************
        1     = lpp1    ! beam 1 type 
        1     = lpp2    ! beam 2 type
     3500     = ebeam1  ! beam 1 total energy in GeV
     3500     = ebeam2  ! beam 2 total energy in GeV
#*********************************************************************
# Beam polarization from -100 (left-handed) to 100 (right-handed)    *
#*********************************************************************
        0     = polbeam1 ! beam polarization for beam 1
        0     = polbeam2 ! beam polarization for beam 2
#*********************************************************************
# PDF CHOICE: this automatically fixes also alpha_s and its evol.    *
#*********************************************************************
 'lhapdf'    = pdlabel     ! PDF set                                  
 10042       = lhaid          ! PDF set cteq6m
#*********************************************************************
# Renormalization and factorization scales                           *
#*********************************************************************
 T        = fixed_ren_scale  ! if .true. use fixed ren scale
 T        = fixed_fac_scale  ! if .true. use fixed fac scale
 91.1880  = scale            ! fixed ren scale
 80.4     = dsqrt_q2fact1    ! fixed fact scale for pdf1
 80.4     = dsqrt_q2fact2    ! fixed fact scale for pdf2
 1        = scalefact        ! scale factor for event-by-event scales
#*********************************************************************
# Matching - Warning! ickkw > 1 is still beta
#*********************************************************************
 0        = ickkw            ! 0 no matching, 1 MLM, 2 CKKW matching
 1        = highestmult      ! for ickkw=2, highest mult group
 1        = ktscheme         ! for ickkw=1, 1 Durham kT, 2 Pythia pTE
 1        = alpsfact         ! scale factor for QCD emission vx
 F        = chcluster        ! cluster only according to channel diag
 F        = pdfwgt           ! for ickkw=1, perform pdf reweighting
#*********************************************************************
# Automatic ptj and mjj cuts if xqcut > 0
# (turn off for VBF and single top processes)
#**********************************************************
   F  = auto_ptj_mjj  ! Automatic setting of ptj and mjj
#**********************************************************
#                                                                    
#**********************************
# BW cutoff (M+/-bwcutoff*Gamma)
#**********************************
  5  = bwcutoff      ! (M+/-bwcutoff*Gamma)
#**********************************************************
# Apply pt/E/eta/dr/mij cuts on decay products or not
# (note that etmiss/ptll/ptheavy/ht/sorted cuts always apply)
#**********************************************************
   F  = cut_decays    ! Cut decay products 
#*************************************************************
# Number of helicities to sum per event (0 = all helicities)
# 0 gives more stable result, but longer run time (needed for
# long decay chains e.g.).
# Use >=2 if most helicities contribute, e.g. pure QCD.
#*************************************************************
   0  = nhel          ! Number of helicities used per event
#*******************                                                 
# Standard Cuts
#*******************                                                 
#                                                                    
#*********************************************************************
# Minimum and maximum pt's (for max, -1 means no cut)                *
#*********************************************************************
  5 = ptj       ! minimum pt for the jets 
  0 = ptb       ! minimum pt for the b 
  0  = pta       ! minimum pt for the photons 
  0  = ptl       ! minimum pt for the charged leptons 
  0  = misset    ! minimum missing Et (sum of neutrino's momenta)
  0  = ptheavy   ! minimum pt for one heavy final state
  0  = ptonium   ! minimum pt for the quarkonium states
 -1  = ptjmax    ! maximum pt for the jets
 -1  = ptbmax    ! maximum pt for the b
 -1  = ptamax    ! maximum pt for the photons
 -1  = ptlmax    ! maximum pt for the charged leptons
 -1  = missetmax ! maximum missing Et (sum of neutrino's momenta)
#*********************************************************************
# Minimum and maximum E's (in the lab frame)                         *
#*********************************************************************
  0  = ej     ! minimum E for the jets 
  0  = eb     ! minimum E for the b 
  0  = ea     ! minimum E for the photons 
  0  = el     ! minimum E for the charged leptons 
 -1   = ejmax ! maximum E for the jets
 -1   = ebmax ! maximum E for the b
 -1   = eamax ! maximum E for the photons
 -1   = elmax ! maximum E for the charged leptons
#*********************************************************************
# Maximum and minimum absolute rapidity (for max, -1 means no cut)   *
#*********************************************************************
  -1  = etaj    ! max rap for the jets 
  -1  = etab    ! max rap for the b
  -1  = etaa    ! max rap for the photons 
  -1  = etal    ! max rap for the charged leptons 
  -1  = etaonium ! max rap for the quarkonium states
   0  = etajmin ! min rap for the jets
   0  = etabmin ! min rap for the b
   0  = etaamin ! min rap for the photons
   0  = etalmin ! main rap for the charged leptons
#*********************************************************************
# Minimum and maximum DeltaR distance                                *
#*********************************************************************
 1d-2 = drjj    ! min distance between jets 
 0    = drbb    ! min distance between b's 
 0    = drll    ! min distance between leptons 
 0    = draa    ! min distance between gammas 
 0    = drbj    ! min distance between b and jet 
 0   = draj    ! min distance between gamma and jet 
 0   = drjl    ! min distance between jet and lepton 
 0   = drab    ! min distance between gamma and b 
 0   = drbl    ! min distance between b and lepton 
 0   = dral    ! min distance between gamma and lepton 
 -1  = drjjmax ! max distance between jets
 -1  = drbbmax ! max distance between b's
 -1  = drllmax ! max distance between leptons
 -1  = draamax ! max distance between gammas
 -1  = drbjmax ! max distance between b and jet
 -1  = drajmax ! max distance between gamma and jet
 -1  = drjlmax ! max distance between jet and lepton
 -1  = drabmax ! max distance between gamma and b
 -1  = drblmax ! max distance between b and lepton
 -1  = dralmax ! maxdistance between gamma and lepton
#*********************************************************************
# Minimum and maximum invariant mass for pairs                       *
#*********************************************************************
 5.0 = mmjj    ! min invariant mass of a jet pair 
 0   = mmbb    ! min invariant mass of a b pair 
 0   = mmaa    ! min invariant mass of gamma gamma pair
 0   = mmll    ! min invariant mass of l+l- (same flavour) lepton pair
 -1  = mmjjmax ! max invariant mass of a jet pair
 -1  = mmbbmax ! max invariant mass of a b pair
 -1  = mmaamax ! max invariant mass of gamma gamma pair
 -1  = mmllmax ! max invariant mass of l+l- (same flavour) lepton pair
#*********************************************************************
# Minimum and maximum invariant mass for all letpons                 *
#*********************************************************************
 0   = mmnl    ! min invariant mass for all letpons (l+- and vl) 
 -1  = mmnlmax ! max invariant mass for all letpons (l+- and vl) 
#*********************************************************************
# Minimum and maximum pt for 4-momenta sum of leptons                *
#*********************************************************************
 0   = ptllmin  ! Minimum pt for 4-momenta sum of leptons(l and vl)
 -1  = ptllmax  ! Maximum pt for 4-momenta sum of leptons(l and vl)
#*********************************************************************
# Inclusive cuts                                                     *
#*********************************************************************
 0  = xptj ! minimum pt for at least one jet  
 0  = xptb ! minimum pt for at least one b 
 0  = xpta ! minimum pt for at least one photon 
 0  = xptl ! minimum pt for at least one charged lepton 
#*********************************************************************
# Control the pt's of the jets sorted by pt                          *
#*********************************************************************
 0   = ptj1min ! minimum pt for the leading jet in pt
 0   = ptj2min ! minimum pt for the second jet in pt
 0   = ptj3min ! minimum pt for the third jet in pt
 0   = ptj4min ! minimum pt for the fourth jet in pt
 -1  = ptj1max ! maximum pt for the leading jet in pt 
 -1  = ptj2max ! maximum pt for the second jet in pt
 -1  = ptj3max ! maximum pt for the third jet in pt
 -1  = ptj4max ! maximum pt for the fourth jet in pt
 0   = cutuse  ! reject event if fails any (0) / all (1) jet pt cuts
#*********************************************************************
# Control the pt's of leptons sorted by pt                           *
#*********************************************************************
 0   = ptl1min ! minimum pt for the leading lepton in pt
 0   = ptl2min ! minimum pt for the second lepton in pt
 0   = ptl3min ! minimum pt for the third lepton in pt
 0   = ptl4min ! minimum pt for the fourth lepton in pt
 -1  = ptl1max ! maximum pt for the leading lepton in pt 
 -1  = ptl2max ! maximum pt for the second lepton in pt
 -1  = ptl3max ! maximum pt for the third lepton in pt
 -1  = ptl4max ! maximum pt for the fourth lepton in pt
#*********************************************************************
# Control the Ht(k)=Sum of k leading jets                            *
#*********************************************************************
 0   = htjmin ! minimum jet HT=Sum(jet pt)
 -1  = htjmax ! maximum jet HT=Sum(jet pt)
 0   = ihtmin  !inclusive Ht for all partons (including b)
 -1  = ihtmax  !inclusive Ht for all partons (including b)
 0   = ht2min ! minimum Ht for the two leading jets
 0   = ht3min ! minimum Ht for the three leading jets
 0   = ht4min ! minimum Ht for the four leading jets
 -1  = ht2max ! maximum Ht for the two leading jets
 -1  = ht3max ! maximum Ht for the three leading jets
 -1  = ht4max ! maximum Ht for the four leading jets
#*********************************************************************
# WBF cuts                                                           *
#*********************************************************************
 0   = xetamin ! minimum rapidity for two jets in the WBF case  
 0   = deltaeta ! minimum rapidity for two jets in the WBF case 
#*********************************************************************
# maximal pdg code for quark to be considered as a light jet         *
# (otherwise b cuts are applied)                                     *
#*********************************************************************
 4 = maxjetflavor    ! Maximum jet pdg code
#*********************************************************************
# Jet measure cuts                                                   *
#*********************************************************************
 2.0 = xqcut   ! minimum kt jet measure between partons
#*********************************************************************
 0d0 = kt_durham    ! minimum durham kt jet measure between partons
 0.4 = d_parameter  ! D parameter for hadronic kT
 F   = do_kt_durham        ! T: enable durham kt cut
 15  = pt_pythia    ! minimum pythia pt jet measure between partons
 2   = njets_requested  ! number of jets above the pythia pt cut
 T   = do_pt_pythia        ! T: enable pythia pt cut
#*********************************************************************


#  Number of Events        :        1000
#  Integrated weight (pb)  :  .91728E+03
#  Truncated wgt (pb)      :  .00000E+00
#  Unit wgt                :  .91728E+00


      

     2212     2212  0.35000000000E+04  0.35000000000E+04 0 0 10042 10042 3  2
  0.56146182650E+03  0.35740796170E+01  0.91728000000E+00   1
  0.34701424400E+03  0.22089774901E+01  0.91728000000E+00   2


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.18888249766E+03  0.18888249766E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.17089912290E+03  0.17089912290E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.85478681006E+02  0.24324558799E+02 -0.47618001975E+02  0.13051752605E+03  0.82879801084E+02 0.  0.
       11    1    3    3    0    0 -0.43338655800E+02  0.44847062302E+02 -0.54895326562E+02  0.83084264226E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.42140025206E+02 -0.20522503503E+02  0.72773245869E+01  0.47433261827E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.23973817916E+02  0.75209114239E+02  0.78776999148E+02  0.11152116573E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.61504863090E+02 -0.99533673038E+02 -0.13175622407E+02  0.11774292878E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.34223941547E+02  0.34223941547E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.53603094455E+03  0.53603094455E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.51230984916E+01 -0.63648324763E+02 -0.28032366592E+03  0.29837721307E+03  0.79813834750E+02 0.  0.
      -11    1    3    3    0    0 -0.30272770208E+02 -0.20059504519E+02 -0.53183297353E+02  0.64399436760E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35395868700E+02 -0.43588820244E+02 -0.22714036857E+03  0.23397777631E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.36323338888E+01  0.15087909957E+02  0.20050734052E+02  0.25354897207E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.87554323805E+01  0.48560414806E+02 -0.24153407113E+03  0.24652277582E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.15661518330E+02  0.15661518330E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.68811317763E+03  0.68811317763E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.80436148878E+02  0.16672060565E+02 -0.38426021308E+03  0.40092444035E+03  0.79602536756E+02 0.  0.
       11    1    3    3    0    0 -0.64040990524E+02  0.40675337743E+02 -0.19142770386E+03  0.20591332491E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.16395158354E+02 -0.24003277178E+02 -0.19283250922E+03  0.19501111544E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.54271001306E+02 -0.31683109993E+02 -0.18903742883E+03  0.19920921299E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.26165147572E+02  0.15011049428E+02 -0.99154017387E+02  0.10364104262E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.71000866252E+02  0.71000866252E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.64136043418E+03  0.64136043418E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.52214966035E+02  0.11315281435E+03 -0.58638234675E+02  0.16463232366E+03  0.90196437598E+02 0.  0.
      -11    1    3    3    0    0  0.12786550197E+02  0.10158582591E+03 -0.67450253769E+02  0.12260796314E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.39428415837E+02  0.11566988444E+02  0.88120190934E+01  0.42024360526E+02  0.00000000000E+00 0. -1.
        2    1    1    2  502    0 -0.28054482108E+02 -0.15752487786E+02 -0.38378126510E+03  0.38512758182E+03  0.00000000000E+00 0.  1.
       -4    1    1    2    0  502 -0.24160483926E+02 -0.97400326568E+02 -0.12794006815E+03  0.16260139494E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.58920739348E+02  0.58920739348E+02  0.00000000000E+00 0.  1.
        3   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.10845111369E+03  0.10845111369E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.68002140901E+00 -0.43919565998E+01  0.13786023561E+02  0.80646822822E+02  0.79335388534E+02 0.  0.
       11    1    3    3    0    0 -0.50085206900E+01  0.28195832262E+02 -0.18764313127E+02  0.34237255784E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.56885420990E+01 -0.32587788862E+02  0.32550336688E+02  0.46409567038E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.13109959867E+02  0.20961125826E+02 -0.59316654015E+01  0.25424879509E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.13789981276E+02 -0.16569169226E+02 -0.57384732507E+02  0.61300150712E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12280411921E+03  0.12280411921E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.25382459542E+03  0.25382459542E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.52924031349E+02  0.45302668223E+02 -0.75673071000E+02  0.13003383950E+03  0.79555646544E+02 0.  0.
      -11    1    3    3    0    0  0.17537778965E+02  0.27394906602E+02 -0.17591285787E+02  0.36979831454E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.70461810314E+02  0.17907761621E+02 -0.58081785214E+02  0.93054008042E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.57379103552E+02 -0.92498862585E+02 -0.12283293171E+03  0.16412291192E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.44550722031E+01  0.47196194363E+02  0.67485526499E+02  0.82471963221E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.26036300139E+03  0.26036300139E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.65682511584E+02  0.65682511584E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.23716047379E+02  0.92132884659E+02  0.75764565649E+02  0.14584043122E+03  0.80487530899E+02 0.  0.
      -11    1    3    3    0    0 -0.27628570492E+02  0.14556375748E+02  0.14349831291E+02  0.34367770373E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.51344617870E+02  0.77576508910E+02  0.61414734358E+02  0.11147266084E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  503 -0.43038309188E+02 -0.97366084947E+02  0.11967742218E+03  0.16017220713E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.19322261809E+02  0.52332002883E+01 -0.76149802663E+00  0.20032874630E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.46228324382E+02  0.46228324382E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.46432888937E+03  0.46432888937E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.88515423239E+01  0.85940205087E+02 -0.26066670976E+03  0.28603213219E+03  0.80019862627E+02 0.  0.
      -11    1    3    3    0    0 -0.27265233772E+02  0.90023774847E+01 -0.27295752373E+02  0.39616838221E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18413691448E+02  0.76937827603E+02 -0.23337095738E+03  0.24641529396E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.53046747087E+01 -0.34154651875E+02  0.19808847551E+02  0.39838050401E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.35468676152E+01 -0.51785553213E+02 -0.17724270278E+03  0.18468703117E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.73219889297E+02  0.73219889297E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.78297944311E+02  0.78297944311E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.30804886407E+02  0.78019135516E+00  0.50370396322E+00  0.84734541214E+02  0.78931229763E+02 0.  0.
      -11    1    3    3    0    0  0.82911549048E+01 -0.11395820539E+01 -0.32484104384E+02  0.33544879409E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39096041311E+02  0.19197734091E+01  0.32987808347E+02  0.51189661805E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.41887676805E+01  0.16280691535E+02  0.19991509038E+02  0.26120243589E+02  0.00000000000E+00 0.  1.
       -2    1    1    2    0  502  0.26616118726E+02 -0.17060882890E+02 -0.25573268016E+02  0.40663048804E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.15943749065E+04  0.15943749065E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.18693885198E+02  0.18693885198E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.22477601103E+02 -0.12770908536E+03  0.10663343839E+04  0.10770983541E+04  0.79101157448E+02 0.  0.
      -11    1    3    3    0    0  0.87087377718E+00  0.45829263342E+01  0.34682848413E+01  0.58129712420E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21606727325E+02 -0.13229201169E+03  0.10628660990E+04  0.10712853829E+04  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.50911837231E+02  0.42013694800E+02  0.12725928016E+03  0.14336000177E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.28434236128E+02  0.85695390557E+02  0.38208735727E+03  0.39261043584E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.40546712797E+03  0.40546712797E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.58305586036E+02  0.58305586036E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.97930053435E+02 -0.64368146967E+02  0.21801676193E+03  0.25999647610E+03  0.79582067022E+02 0.  0.
      -11    1    3    3    0    0  0.78361660128E+02 -0.43726031885E+01  0.11683751433E+03  0.14075039677E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.19568393308E+02 -0.59995543779E+02  0.10117924760E+03  0.11924607933E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.55889778176E+02  0.46598285588E+02  0.13917081721E+03  0.15704643863E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.42040275259E+02  0.17769861380E+02 -0.10026037214E+02  0.46729799267E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.23920063044E+03  0.23920063044E+03  0.00000000000E+00 0. -1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.88389181571E+02  0.88389181571E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.26596362496E+02  0.87147503078E+01 -0.42249031489E+02  0.97136809913E+02  0.82868967698E+02 0.  0.
       11    1    3    3    0    0 -0.50528863652E+01 -0.20173998328E+02 -0.49486131377E+02  0.53678664922E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.31649248861E+02  0.28888748636E+02  0.72370998880E+01  0.43458144990E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.96226958623E+00  0.18938751070E+02  0.19178930199E+03  0.19272451482E+03  0.00000000000E+00 0. -1.
        4    1    1    2  502    0 -0.25634092909E+02 -0.27653501378E+02  0.12711783672E+01  0.37728487277E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.14551200849E+03  0.14551200849E+03  0.00000000000E+00 0. -1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.14876570431E+03  0.14876570431E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11225556710E+03  0.43914803785E+01  0.66386808677E+02  0.15309700879E+03  0.80068022881E+02 0.  0.
      -11    1    3    3    0    0  0.14223256294E+00 -0.14203985401E+02 -0.89128190338E+01  0.16769370128E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11211333454E+03  0.18595465779E+02  0.75299627711E+02  0.13632763866E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.31404136206E+02  0.13191280252E+02 -0.16737826875E+01  0.34103243160E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.80851430898E+02 -0.17582760630E+02 -0.67966721809E+02  0.10707746085E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.10356515914E+04  0.10356515914E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11150673140E+02  0.11150673140E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.17166600795E+02  0.55436204309E+02  0.67760804677E+03  0.68487105734E+03  0.80795019734E+02 0.  0.
      -11    1    3    3    0    0 -0.17626762497E+02  0.66802255517E+01  0.37543852721E+02  0.42010344520E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.34793363292E+02  0.48755978758E+02  0.64006419404E+03  0.64286071282E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.24405287384E+02  0.13810983575E+01  0.23464275175E+03  0.23591258219E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.72386865888E+01 -0.56817302667E+02  0.11225011971E+03  0.12601862497E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.79188728177E+01  0.79188728177E+01  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.71939798847E+03  0.71939798847E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.37592555275E+02 -0.10695714160E+02 -0.41795893055E+03  0.42829428379E+03  0.84963094222E+02 0.  0.
       11    1    3    3    0    0  0.61748420187E+02 -0.23497163659E+02 -0.30509911460E+03  0.31217055246E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.24155864912E+02  0.12801449499E+02 -0.11285981596E+03  0.11612373132E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.44727796218E+01  0.13729646997E+02 -0.93087545378E+02  0.94200849617E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.42065334897E+02 -0.30339328367E+01 -0.20043263972E+03  0.20482172788E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14070739061E+03  0.14070739061E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21516258149E+03  0.21516258149E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.80680507589E+02 -0.65291059908E+02 -0.82636057384E+01  0.13125095802E+03  0.79914078812E+02 0.  0.
      -11    1    3    3    0    0 -0.96289163279E+02 -0.60297612379E+02 -0.17733165228E+01  0.11362459978E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15608655690E+02 -0.49934475293E+01 -0.64902892156E+01  0.17626358240E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.29787822315E+02 -0.31107836320E+02  0.27056164217E+02  0.50863030394E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.11046832990E+03  0.96398896228E+02 -0.93247749363E+02  0.17375598369E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.18794543938E+04  0.18794543938E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.38891354162E+01  0.38891354162E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.35245147284E+02  0.36603625864E+02  0.92937888014E+03  0.93397528405E+03  0.77347802284E+02 0.  0.
      -11    1    3    3    0    0 -0.13285561988E+02 -0.15500180098E+02  0.15710852320E+03  0.15842932116E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.48530709272E+02  0.52103805962E+02  0.77227035695E+03  0.77554596289E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.14901499233E+02 -0.79586670020E+01  0.34529608314E+03  0.34570909750E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.50146646517E+02 -0.28644958862E+02  0.60089029513E+03  0.60365914771E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12039173024E+03  0.12039173024E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.42433279140E+02  0.42433279140E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11572584089E+02  0.13741873440E+01  0.62187881928E+02  0.10353717184E+03  0.81956087023E+02 0.  0.
      -11    1    3    3    0    0 -0.12984984966E+02  0.12787292389E+02  0.72352373122E+02  0.74612268278E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24557569056E+02 -0.11413105045E+02 -0.10164491194E+02  0.28924903559E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.17122087246E+02  0.60947260287E+01 -0.93389906099E+01  0.20433509308E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.28694671335E+02 -0.74689133727E+01  0.25109559778E+02  0.38854328230E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.51321305125E+02  0.51321305125E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.13728383860E+03  0.13728383860E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.26338317439E+01  0.52960929035E+01 -0.44392084024E+02  0.91590620698E+02  0.79894924784E+02 0.  0.
      -11    1    3    3    0    0 -0.26943211867E+02 -0.23835110503E+02 -0.39350865333E+02  0.53315473934E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24309380123E+02  0.29131203407E+02 -0.50412186910E+01  0.38275146764E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.85937807696E+01 -0.25773397177E+02 -0.61869267675E+02  0.67571646070E+02  0.00000000000E+00 0.  1.
        3    1    1    2  501    0 -0.59599490257E+01  0.20477304274E+02  0.20298818219E+02  0.29442876962E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11678716687E+03  0.11678716687E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.47453397604E+03  0.47453397604E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.27218146923E+02  0.17349861205E+02 -0.15435560072E+03  0.17454215129E+03  0.74816214139E+02 0.  0.
       11    1    3    3    0    0  0.31427301593E+01 -0.29851259436E+01 -0.13122154980E+03  0.13129311810E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.30360877082E+02  0.20334987148E+02 -0.23134050917E+02  0.43249033184E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.25119685175E+02  0.73616688073E+01 -0.30808136099E+03  0.30919139338E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.20984617478E+01 -0.24711530012E+02  0.10469015254E+03  0.10758759825E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.38662940048E+02  0.38662940048E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12471427930E+03  0.12471427930E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.14079965796E+02 -0.21982944471E+02 -0.57782172056E+02  0.10623294726E+03  0.85235933683E+02 0.  0.
       11    1    3    3    0    0 -0.44741793464E+02 -0.25465463432E+00 -0.10722551620E+02  0.46009412565E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.30661827668E+02 -0.21728289836E+02 -0.47059620436E+02  0.60223534691E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.11765110357E+02 -0.43560413485E+01 -0.49176518438E+01  0.13475021988E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.25845076153E+02  0.26338985819E+02 -0.23351515353E+02  0.43669250104E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.66487824547E+01  0.66487824547E+01  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.62574261711E+03  0.62574261711E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.43040245887E+01  0.37775985739E+01 -0.29640898692E+03  0.30715041720E+03  0.80313737185E+02 0.  0.
       11    1    3    3    0    0 -0.51195978520E+01  0.17752318353E+02 -0.11215283186E+02  0.21613367762E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.81557326330E+00 -0.13974719779E+02 -0.28519370373E+03  0.28553704944E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.43363591922E+01  0.15220266901E+02 -0.73544859562E+02  0.75228365020E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.86403837809E+01 -0.18997865475E+02 -0.24913998817E+03  0.25001261734E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.85624613453E+02  0.85624613453E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  503  0.00000000000E+00  0.00000000000E+00 -0.89447079066E+02  0.89447079066E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.17298645113E+02 -0.50058476452E+01  0.22108873157E+02  0.85445279832E+02  0.80546830726E+02 0.  0.
      -11    1    3    3    0    0  0.47902504728E+01 -0.77659374810E+01 -0.28624175730E+02  0.30043297436E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22088895586E+02  0.27600898358E+01  0.50733048887E+02  0.55401982397E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.20432961303E+02  0.34340981100E+02 -0.40350769235E+02  0.56789025950E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.31343161893E+01 -0.29335133455E+02  0.14419430465E+02  0.32837386737E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.33625822749E+02  0.33625822749E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.63929083189E+03  0.63929083189E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.13840985824E+01 -0.25517960557E+02 -0.12655144777E+03  0.15368434203E+03  0.83369814752E+02 0.  0.
      -11    1    3    3    0    0  0.42053599209E+02 -0.75057100697E+01 -0.62315868489E+02  0.75552024167E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.40669500626E+02 -0.18012250487E+02 -0.64235579281E+02  0.78132317861E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.75420849100E+02 -0.28540134286E+02 -0.35238346603E+03  0.36149267057E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.76804947682E+02  0.54058094842E+02 -0.12673009534E+03  0.15773964204E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.95792786741E+01  0.95792786741E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13719683145E+04  0.13719683145E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.18455197787E+02 -0.89728417822E+02 -0.88128848598E+03  0.88968027079E+03  0.80435100686E+02 0.  0.
      -11    1    3    3    0    0 -0.49476658530E+01  0.13188957208E+02 -0.50342511912E+02  0.52276156087E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13507531934E+02 -0.10291737503E+03 -0.83094597407E+03  0.83740411471E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.10379235224E+02  0.66121000209E+01 -0.99429777067E+02  0.10018846719E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.28834433012E+02  0.83116317801E+02 -0.38167077280E+03  0.39167885522E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.10761112748E+04  0.10761112748E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.73070391989E+01  0.73070391989E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.24269912630E+02  0.16231410797E+02  0.73236163855E+03  0.73732665248E+03  0.80277864193E+02 0.  0.
      -11    1    3    3    0    0  0.12711585429E+02  0.19201079546E+02  0.65430315427E+02  0.69364198523E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36981498059E+02 -0.29696687491E+01  0.66693132312E+03  0.66796245396E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.28797393194E+02  0.15929516778E+02  0.66451834104E+02  0.74154471311E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.45274805635E+01 -0.32160927575E+02  0.26999076294E+03  0.27193719020E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20412321737E+03  0.20412321737E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.27279292888E+02  0.27279292888E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.21040689776E+02 -0.29362185266E+02  0.95231437517E+02  0.12876787859E+03  0.78786365031E+02 0.  0.
       11    1    3    3    0    0  0.50958153324E+01 -0.55492977627E+02  0.66770663152E+02  0.86969876150E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.15944874444E+02  0.26130792361E+02  0.28460774365E+02  0.41798002439E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.29875194597E+02 -0.16752770177E+01  0.41177247365E+02  0.50900879224E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.88345048203E+01  0.31037462284E+02  0.40435239595E+02  0.51733752440E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24276064815E+03  0.24276064815E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.28690770761E+03  0.28690770761E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.25729744149E+02  0.12468870076E+02  0.21294714071E+03  0.22883852336E+03  0.78759714208E+02 0.  0.
      -11    1    3    3    0    0 -0.62077365792E+01  0.43173795383E+02  0.14912589388E+03  0.15537388721E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19522007570E+02 -0.30704925308E+02  0.63821246829E+02  0.73464636149E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.51500134413E+01  0.19252998615E+02 -0.26194958215E+03  0.26270665043E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.20579730708E+02 -0.31721868691E+02  0.48553819805E+01  0.38123181968E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.27640892619E+03  0.27640892619E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.59659011029E+02  0.59659011029E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.25212332827E+02  0.39640182724E+02  0.19230485313E+03  0.21417915706E+03  0.81759091049E+02 0.  0.
      -11    1    3    3    0    0  0.85773055986E+01 -0.20253149555E+02  0.10330732051E+03  0.10562273765E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16635027228E+02  0.59893332280E+02  0.88997532620E+02  0.10855641941E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.29506361182E+01 -0.21296327218E+02  0.67063808148E+02  0.70425806135E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.22261696709E+02 -0.18343855507E+02 -0.42618746114E+02  0.51462974026E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.16530133851E+02  0.16530133851E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.34880430836E+03  0.34880430836E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.32088858292E+02  0.24733713039E+02 -0.26495665159E+03  0.27950407558E+03  0.79240454684E+02 0.  0.
       11    1    3    3    0    0 -0.23985507010E+02  0.18017605331E+02 -0.24269388031E+02  0.38586809194E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.81033512821E+01  0.67161077085E+01 -0.24068726355E+03  0.24091726638E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.27688214895E+02  0.15629669258E-01 -0.40637302954E+02  0.49173446897E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.44006433967E+01 -0.24749342709E+02 -0.26680219968E+02  0.36656919734E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.25746766983E+03  0.25746766983E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.27762047869E+02  0.27762047869E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.39667650508E+02  0.30876255021E+02  0.13694509198E+03  0.16696069830E+03  0.81209918956E+02 0.  0.
       11    1    3    3    0    0 -0.58742969062E+02  0.43074879931E+02  0.10600855817E+03  0.12862346637E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.19075318554E+02 -0.12198624910E+02  0.30936533810E+02  0.38337231927E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.31919764687E+02 -0.51542198673E+01  0.84008128222E+02  0.90015570695E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.77478858210E+01 -0.25722035154E+02  0.87524017519E+01  0.28253448703E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.47697458816E+03  0.47697458816E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.66521315600E+02  0.66521315600E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.20474509748E+02  0.17856957383E+02  0.35505446428E+03  0.36582292944E+03  0.83813284306E+02 0.  0.
      -11    1    3    3    0    0 -0.79997547760E+01  0.35564142330E+02  0.71143382250E+02  0.79938633552E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.28474264524E+02 -0.17707184948E+02  0.28391108203E+03  0.28588429589E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.19229735701E+02 -0.47047960780E+02 -0.43679015362E+02  0.67016040853E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.39704245448E+02  0.29191003397E+02  0.99077823650E+02  0.11065693347E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.32794221840E+02  0.32794221840E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.12866944810E+04  0.12866944810E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.52892701367E+02  0.20608929431E+02 -0.10894548070E+04  0.10939524918E+04  0.81227532348E+02 0.  0.
      -11    1    3    3    0    0  0.44582116901E+02 -0.25763151904E+02 -0.51410091314E+03  0.51667306301E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.83105844660E+01  0.46372081336E+02 -0.57535389386E+03  0.57727942880E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.18279626657E+02  0.59790555101E+01  0.24765541679E+02  0.31356433314E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.34613074709E+02 -0.26587984941E+02 -0.18921099384E+03  0.19417977772E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11928418604E+03  0.11928418604E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.13696382384E+03  0.13696382384E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.68371854015E+02 -0.83736150851E+02 -0.31876115854E+02  0.13905125979E+03  0.81441467971E+02 0.  0.
       11    1    3    3    0    0  0.69923912911E+02 -0.90799940560E+02 -0.88827713853E+01  0.11494732024E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.15520588961E+01  0.70637897090E+01 -0.22993344468E+02  0.24103939547E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.28902514860E+02  0.37930035379E+02 -0.15083177175E+02  0.50015449441E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  503 -0.39469339154E+02  0.45806115472E+02  0.29279655223E+02  0.67181300657E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.12657641873E+04  0.12657641873E+04  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11848026162E+03  0.11848026162E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.24947796307E+02 -0.15160955523E+02  0.25479229063E+03  0.26879132843E+03  0.80482418954E+02 0.  0.
       11    1    3    3    0    0 -0.76656796241E-01 -0.73862707272E+01 -0.41862491792E+01  0.84904389586E+01  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.25024453104E+02 -0.77746847962E+01  0.25897853981E+03  0.26030088947E+03  0.00000000000E+00 0.  1.
        2    1    1    2  502    0 -0.47340586476E+02  0.52862466881E+01  0.10020565787E+04  0.10031881491E+04  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.22392790169E+02  0.98747088353E+01 -0.10956494366E+03  0.11226497141E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.78565405413E+01  0.78565405413E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.94777637772E+03  0.94777637772E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.24958009049E+02 -0.16957354218E+02 -0.75166068183E+03  0.75655102735E+03  0.80406606060E+02 0.  0.
       11    1    3    3    0    0 -0.13057045152E+02 -0.63551057697E+01 -0.58871588947E+03  0.58889495864E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.38015054201E+02 -0.10602248448E+02 -0.16294479235E+03  0.16765606870E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.13802218108E+02 -0.15234554017E+02 -0.25297674280E+02  0.32597011900E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.11155790941E+02  0.32191908235E+02 -0.16296148107E+03  0.16648487901E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.25941361716E+02  0.25941361716E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.21499253654E+03  0.21499253654E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.25456308157E+02 -0.37500397813E+01 -0.11055455632E+03  0.13889897379E+03  0.80053285839E+02 0.  0.
      -11    1    3    3    0    0 -0.31321692633E+02  0.28766130738E+02 -0.30615990705E+02  0.52401122067E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.58653844758E+01 -0.32516170519E+02 -0.79938565612E+02  0.86497851721E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.13220303993E+02  0.19155899611E+02 -0.23706893993E+02  0.33222609024E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.38676612150E+02 -0.15405859829E+02 -0.54789724513E+02  0.68812315443E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45030360515E+02  0.45030360515E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.34166845236E+03  0.34166845236E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.77928859990E+00 -0.43922339379E+02 -0.22422782375E+03  0.24245004890E+03  0.81081009381E+02 0.  0.
      -11    1    3    3    0    0  0.50849175685E+01  0.22322244992E+02 -0.86923464956E+02  0.89887862185E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.58642061684E+01 -0.66244584371E+02 -0.13730435879E+03  0.15256218672E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.49555017400E+02  0.17283507341E+02 -0.71463258285E+02  0.88664630266E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.48775728800E+02  0.26638832038E+02 -0.94700981114E+00  0.55584133707E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.10296063555E+04  0.10296063555E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.36676383542E+01  0.36676383542E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.15700269608E+02  0.97057647997E+01  0.62214603530E+03  0.62765121191E+03  0.80868128645E+02 0.  0.
      -11    1    3    3    0    0  0.46909844741E+02 -0.66373059961E+01  0.38456562406E+03  0.38747297528E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.31209575132E+02  0.16343070796E+02  0.23758041124E+03  0.24017823662E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.37946996641E+01 -0.16886130628E+02  0.21313129465E+03  0.21383285509E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.19494969273E+02  0.71803658283E+01  0.19066138721E+03  0.19178992688E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.16930519895E+04  0.16930519895E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.67284036233E+01  0.67284036233E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.49226269103E+01  0.56888881825E+01  0.24811675297E+03  0.26084539415E+03  0.80136139388E+02 0.  0.
      -11    1    3    3    0    0  0.17114421796E+02  0.11582245256E+02  0.11129611104E+02  0.23471686815E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.12191794886E+02 -0.58933570736E+01  0.23698714187E+03  0.23737370733E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.20770877280E+02  0.91834693603E+01  0.56203189465E+03  0.56249054753E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.15848250370E+02 -0.14872357543E+02  0.87617493826E+03  0.87644445146E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.30159754008E+03  0.30159754008E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.24511895770E+02  0.24511895770E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.12132453019E+02  0.98325064947E+00  0.82917615707E+02  0.11586171250E+03  0.80002763889E+02 0.  0.
       11    1    3    3    0    0  0.12242513529E+02  0.38913872197E+02  0.29482888745E+02  0.50332984371E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.11006050998E+00 -0.37930621548E+02  0.53434726961E+02  0.65528728125E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  503 -0.64580860064E+01  0.28883574093E+02  0.26127368671E+02  0.39479198585E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.56743670123E+01 -0.29866824742E+02  0.16804065993E+03  0.17076852477E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.25727682811E+03  0.25727682811E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.46175061524E+03  0.46175061524E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.17164368361E+03  0.64738224529E+02  0.15439862473E+03  0.25280783262E+03  0.80126606554E+02 0.  0.
       11    1    3    3    0    0  0.16903057839E+03  0.76371528162E+02  0.13275083328E+03  0.22809368795E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26131052147E+01 -0.11633303632E+02  0.21647791443E+02  0.24714144667E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.38470962922E+02 -0.91468133386E+02 -0.20117578410E+02  0.10124796973E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.13317272068E+03  0.26729908856E+02 -0.33875483345E+03  0.36497164101E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19669252390E+03  0.19669252390E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.45703969149E+03  0.45703969149E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.63930799482E+01  0.40759508693E+01 -0.44647320894E+03  0.45354695551E+03  0.79429400710E+02 0.  0.
      -11    1    3    3    0    0  0.33861718863E+02 -0.62821500323E+01 -0.27298286687E+03  0.27514673725E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.40254798812E+02  0.10358100902E+02 -0.17349034207E+03  0.17840021826E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.17100045980E+02  0.24623750593E+01  0.18682331207E+03  0.18762042745E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.10706966032E+02 -0.65383259286E+01 -0.69727071227E+00  0.12564832430E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.73901835770E+02  0.73901835770E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.41807433478E+03  0.41807433478E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.11599936479E+03  0.17390617669E+02 -0.16052419554E+03  0.21476337750E+03  0.81221947452E+02 0.  0.
       11    1    3    3    0    0  0.87889581363E+02  0.17997964445E+02 -0.16349389062E+03  0.18649063651E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.28109783425E+02 -0.60734677644E+00  0.29696950779E+01  0.28272740992E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.11300532742E+02 -0.17117650292E+02 -0.14170352542E+03  0.14318032374E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.12729989753E+03 -0.27296737648E+00 -0.41944778055E+02  0.13403246931E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.17770326592E+02  0.17770326592E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.34464723810E+03  0.34464723810E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.30039213754E+02 -0.21360120344E+02 -0.17926574996E+03  0.20025580779E+03  0.81286962924E+02 0.  0.
       11    1    3    3    0    0 -0.14663407653E+02  0.79938629866E-01  0.39210425224E+01  0.15178817103E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.15375806101E+02 -0.21440058974E+02 -0.18318679249E+03  0.18507699069E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.29672577312E+02 -0.84393325049E+01 -0.40081615446E+02  0.50578850068E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  502  0.36663644249E+00  0.29799452849E+02 -0.10752954610E+03  0.11158290683E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.95402719957E+03  0.95402719957E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.57128613097E+01  0.57128613097E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11453156342E+01 -0.93020304362E+01  0.31842438432E+03  0.32852826864E+03  0.80305013860E+02 0.  0.
      -11    1    3    3    0    0 -0.18260891797E+02  0.31575256500E+02  0.15001715078E+03  0.15438783151E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17115576162E+02 -0.40877286936E+02  0.16840723354E+03  0.17414043713E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.21880070375E+01 -0.15589776596E+02  0.27272927811E+03  0.27318324921E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.10426914033E+01  0.24891807032E+02  0.35716067583E+03  0.35802854303E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.51540395692E+03  0.51540395692E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12899999787E+02  0.12899999787E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.40846741094E+01  0.82202336579E+01  0.38644982951E+03  0.39450839011E+03  0.78798111245E+02 0.  0.
      -11    1    3    3    0    0 -0.67801366354E+01 -0.86954071216E+01  0.43079279844E+01  0.11838015092E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10864810745E+02  0.16915640779E+02  0.38214190152E+03  0.38267037502E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.67783420861E+01  0.28733114499E+02  0.50629568013E+02  0.58607942699E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.26936679767E+01 -0.36953348157E+02  0.65424559616E+02  0.75187623903E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.18512457846E+03  0.18512457846E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.17023115716E+03  0.17023115716E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.17223372033E+02  0.37916416581E+01  0.14532773311E+03  0.16576256847E+03  0.77756401700E+02 0.  0.
      -11    1    3    3    0    0  0.79015542206E+01  0.36844443202E+02  0.78730060585E+02  0.87283274421E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.25124926253E+02 -0.33052801544E+02  0.66597672521E+02  0.78479294048E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.43776910802E+01 -0.17400336339E+02 -0.15648901065E+03  0.15751427344E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.12845680952E+02  0.13608694681E+02  0.26054698838E+02  0.32078893709E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12489446083E+04  0.12489446083E+04  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15556147286E+02  0.15556147286E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.56074394490E+02 -0.13508218033E+02  0.63734839281E+03  0.64508849840E+03  0.81236612932E+02 0.  0.
      -11    1    3    3    0    0 -0.61528062573E+02 -0.10132638715E+02  0.63530375311E+03  0.63835666486E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.54536680831E+01 -0.33755793185E+01  0.20446396918E+01  0.67318335367E+01  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.11218775745E+02  0.39744645513E+02  0.36155699485E+02  0.54888362896E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503  0.67293170235E+02 -0.26236427480E+02  0.55988436868E+03  0.56452389425E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.18201934290E+04  0.18201934290E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.19383507034E+02  0.19383507034E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.85892905470E+02  0.53470363494E+02  0.43926242373E+03  0.45780526156E+03  0.79984433678E+02 0.  0.
      -11    1    3    3    0    0  0.84873076707E+02  0.59480858056E+02  0.28228577553E+03  0.30071027699E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10198287622E+01 -0.60104945613E+01  0.15697664820E+03  0.15709498456E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.28309327865E+02 -0.15393525492E+02  0.18914160882E+02  0.37364744789E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.57583577604E+02 -0.38076838002E+02  0.13426333373E+04  0.13444069297E+04  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.97602055815E+01  0.97602055815E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.37356818507E+03  0.37356818507E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14671531797E+01 -0.60373913197E+01 -0.26661053578E+03  0.28112380607E+03  0.88942756414E+02 0.  0.
      -11    1    3    3    0    0  0.52235114607E+01 -0.19825703249E+02 -0.78262732333E+01  0.21945253109E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.37563582810E+01  0.13788311930E+02 -0.25878426254E+03  0.25917855296E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  503 -0.73847746814E+01 -0.11112030653E+02 -0.45533876077E+02  0.47448350792E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.59176215017E+01  0.17149421973E+02 -0.51663567634E+02  0.54756233790E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.92563202225E+03  0.92563202225E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12788442621E+02  0.12788442621E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.84802293343E+00  0.40377610153E+02  0.71949610205E+03  0.72519638758E+03  0.81265547211E+02 0.  0.
      -11    1    3    3    0    0  0.24325326186E+02  0.53622470359E+02  0.38295620941E+03  0.38745651259E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.25173349120E+02 -0.13244860206E+02  0.33653989263E+03  0.33773987499E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.26263757744E+02 -0.91809420119E+01  0.15284241769E+03  0.15535404504E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.27111780677E+02 -0.31196668141E+02  0.40505059901E+02  0.57870032246E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.74300824439E+01  0.74300824439E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.14607175514E+04  0.14607175514E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.32040064084E+02 -0.30015733084E+02 -0.85206774755E+03  0.85704761824E+03  0.81139777988E+02 0.  0.
      -11    1    3    3    0    0 -0.15823963416E+01 -0.51824025670E+02 -0.51622870122E+03  0.51882589139E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33622460426E+02  0.21808292586E+02 -0.33583904634E+03  0.33822172685E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.17851177350E+02  0.22893872235E+02 -0.59205973687E+03  0.59277105694E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.14188886735E+02  0.71218608489E+01 -0.91599845075E+01  0.18328958642E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.89013050752E+03  0.89013050752E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14495465841E+03  0.14495465841E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.17831914087E+01  0.43824435665E+02 -0.10022172764E+03  0.13581202874E+03  0.80478267415E+02 0.  0.
       11    1    3    3    0    0 -0.35917120609E+02  0.21646668816E+02 -0.73308235685E+02  0.84455403870E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.37700312018E+02  0.22177766848E+02 -0.26913491951E+02  0.51356624866E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.12263225112E+02 -0.24492630110E+02  0.86759526345E+03  0.86802754379E+03  0.00000000000E+00 0. -1.
        2    1    1    2  502    0  0.10480033703E+02 -0.19331805554E+02 -0.22197686704E+02  0.31245593408E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.28108736406E+03  0.28108736406E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.79678948694E+02  0.79678948694E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.48950925469E+02  0.10175276075E+02 -0.37488833344E+02  0.10656121796E+03  0.86314258377E+02 0.  0.
       11    1    3    3    0    0  0.93296001238E+01  0.22957157998E+02 -0.39762506704E+02  0.46852208925E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.58280525592E+02 -0.12781881923E+02  0.22736733594E+01  0.59709009030E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.13234292418E+02  0.16068105701E+02  0.14248605335E+02  0.25226043499E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  503  0.35716633050E+02 -0.26243381776E+02  0.22464864337E+03  0.22897905130E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13522404275E+04  0.13522404275E+04  0.00000000000E+00 0. -1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.26823723645E+02  0.26823723645E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.63011123039E+02  0.15019804318E+02  0.97204215494E+03  0.97754835951E+03  0.80863143934E+02 0.  0.
       11    1    3    3    0    0 -0.62102261385E+02  0.35764396592E+02  0.50665729216E+03  0.51170049309E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.90886165434E+00 -0.20744592274E+02  0.46538486278E+03  0.46584786642E+03  0.00000000000E+00 0.  1.
        4    1    1    2  501    0  0.20907428880E+02 -0.27136743488E+02 -0.98607973251E+01  0.35647703340E+02  0.00000000000E+00 0.  1.
        2    1    1    2  502    0  0.42103694159E+02  0.12116939170E+02  0.36323534622E+03  0.36586808827E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.64390370409E+02  0.64390370409E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.21979356934E+03  0.21979356934E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.17093604643E+00 -0.13489312790E+02  0.15648255915E+02  0.80724746726E+02  0.78036056039E+02 0.  0.
       11    1    3    3    0    0 -0.28069894638E+02 -0.28990724200E+02  0.24996115577E+02  0.47467745561E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27898958592E+02  0.15501411410E+02 -0.93478596622E+01  0.33257001165E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.54214816591E+02  0.12958237640E+02 -0.83905458464E+02  0.10073374916E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.54385752637E+02  0.53107515022E+00 -0.87145996379E+02  0.10272544386E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.58979704651E+03  0.58979704651E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.20768149750E+02  0.20768149750E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.46318005297E+02 -0.70905695219E+02  0.27387158465E+03  0.29743169357E+03  0.79290555776E+02 0.  0.
       11    1    3    3    0    0 -0.36683676945E+02 -0.73337154784E+02  0.27542686442E+03  0.28737429960E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.96343283525E+01  0.24314595649E+01 -0.15552797704E+01  0.10057393976E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  503  0.23915626686E+01  0.26658808649E+02  0.18181244001E+03  0.18377207349E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.43926442629E+02  0.44246886570E+02  0.11334487210E+03  0.12936142920E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.21547316116E+03  0.21547316116E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.25927444095E+02  0.25927444095E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.90691929890E+01 -0.68714666027E+01  0.18101704732E+03  0.19877711293E+03  0.81336965103E+02 0.  0.
       11    1    3    3    0    0  0.67439915522E+00 -0.37603484029E+02  0.14770849787E+03  0.15242138029E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.97435921442E+01  0.30732017427E+02  0.33308549446E+02  0.46355732646E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.32461824557E+01 -0.12169872230E+02  0.16854708168E+02  0.21041023693E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  502  0.58230105333E+01  0.19041338832E+02 -0.83260384223E+01  0.21582468626E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.13912907736E+02  0.13912907736E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.77439966077E+03  0.77439966077E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.63063040206E+02  0.76850320101E+01 -0.40192396125E+03  0.41444626153E+03  0.78656381215E+02 0.  0.
      -11    1    3    3    0    0  0.22325121490E+02 -0.29507867505E+02 -0.84232536870E+02  0.92001334566E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40737918716E+02  0.37192899515E+02 -0.31769142438E+03  0.32244492696E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.13711732531E+02 -0.15771223905E+02 -0.15048350509E+03  0.15192770787E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.76774772737E+02  0.80861918946E+01 -0.20807928669E+03  0.22193859912E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.11633463593E+03  0.11633463593E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18921139724E+03  0.18921139724E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.31053803990E+02 -0.34763078998E+02 -0.15561357125E+03  0.18088436832E+03  0.79566077825E+02 0.  0.
      -11    1    3    3    0    0  0.27761804041E+02  0.15192391807E+02 -0.10511386623E+03  0.10977454808E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32919999491E+01 -0.49955470805E+02 -0.50499705023E+02  0.71109820240E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.52093250406E+02  0.45887945058E+02  0.60313519364E+02  0.91962660127E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.21039446416E+02 -0.11124866060E+02  0.22423290577E+02  0.32699004734E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.78642044848E+03  0.78642044848E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.34842163472E+02  0.34842163472E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11061741086E+03  0.41055588709E+00  0.52004725303E+03  0.53786796873E+03  0.81341417863E+02 0.  0.
      -11    1    3    3    0    0  0.50193021977E+00 -0.20785918894E+02  0.14284213730E+03  0.14434743693E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11011548064E+03  0.21196474781E+02  0.37720511573E+03  0.39352053181E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.32872616205E+02  0.51880270396E+02  0.50339127112E+02  0.79411580207E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.77744794650E+02 -0.52290826283E+02  0.18119190486E+03  0.20398306301E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.19353751959E+03  0.19353751959E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.26392927860E+02  0.26392927860E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.13866991778E+02 -0.21965059000E+02  0.13608615444E+03  0.16048706106E+03  0.81005543382E+02 0.  0.
       11    1    3    3    0    0  0.15800945144E+02 -0.63203565867E+01  0.12349389926E+03  0.12466097998E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.29667936922E+02 -0.15644702414E+02  0.12592255179E+02  0.35826081077E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.11651488977E+01  0.20872663222E+02 -0.39982915093E+01  0.21284078015E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.15032140676E+02  0.10923957782E+01  0.35056728795E+02  0.38159308375E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.13517986606E+03  0.13517986606E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.55168562912E+03  0.55168562912E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.22391978704E+02  0.26450144979E+02 -0.50312391713E+03  0.51062233503E+03  0.80003013465E+02 0.  0.
       11    1    3    3    0    0  0.42120172595E+02 -0.11997312306E+02 -0.26952202004E+03  0.27305707046E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.19728193891E+02  0.38447457285E+02 -0.23360189709E+03  0.23756526457E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.42598314638E+01 -0.38686105448E+02  0.12328999020E+03  0.12928720974E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.26651810168E+02  0.12235960468E+02 -0.36671836124E+02  0.46955950406E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.87138286903E+03  0.87138286903E+03  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.40087489506E+02  0.40087489506E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.34880396407E+02 -0.19912353394E+02  0.46172585544E+02  0.96270156433E+02  0.74316159028E+02 0.  0.
      -11    1    3    3    0    0 -0.17680611527E+02 -0.17203904447E+02  0.34412661546E+02  0.42341582716E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.52561007934E+02 -0.27084489466E+01  0.11759923997E+02  0.53928573717E+02  0.00000000000E+00 0. -1.
        2    1    1    2  502    0 -0.66145484238E+02  0.13283462414E+02  0.77990418514E+03  0.78281684541E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.31265087831E+02  0.66288909800E+01  0.52186088457E+01  0.32383356697E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.14485050386E+04  0.14485050386E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.55764568857E+01  0.55764568857E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.28126662753E+02  0.15246008991E+02  0.12592268224E+04  0.12621994406E+04  0.80446800186E+02 0.  0.
      -11    1    3    3    0    0  0.24640829848E+02  0.20282646473E+02  0.59818104867E+03  0.59903182155E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.52767492601E+02 -0.50366374810E+01  0.66104577375E+03  0.66316761907E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.10952241845E+02 -0.14540298235E+02  0.19100093398E+02  0.26385326263E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.17174420907E+02 -0.70571075687E+00  0.16460166586E+03  0.16549672857E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.85051285865E+03  0.85051285865E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.60074453443E+01  0.60074453443E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14682260122E+02  0.28583481566E+02  0.43080949955E+03  0.43959970154E+03  0.81354093390E+02 0.  0.
      -11    1    3    3    0    0 -0.18243328859E+00 -0.52309952699E+01 -0.17095408985E+01  0.55062803690E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.14864693411E+02  0.33814476836E+02  0.43251904045E+03  0.43409342118E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.13337298410E+02 -0.47141822381E+01  0.84848569676E+02  0.86019688555E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.28019558532E+02 -0.23869299328E+02  0.32884734408E+03  0.33090091390E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.37074888453E+03  0.37074888453E+03  0.00000000000E+00 0. -1.
        4   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.72912908140E+02  0.72912908140E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.70849806519E+02 -0.48542707224E+01 -0.18192472263E+02  0.10999659978E+03  0.82006261276E+02 0.  0.
      -11    1    3    3    0    0 -0.17364084393E+02 -0.96398218415E+00  0.60776653395E+01  0.18422233970E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.88213890911E+02 -0.38902885383E+01 -0.24270137602E+02  0.91574365812E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.28250978167E+02  0.71921138522E+00  0.26738245556E+03  0.26887174000E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.42598828352E+02  0.41350593372E+01  0.48645993095E+02  0.64793452886E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.42467415042E+02  0.42467415042E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  503  0.00000000000E+00  0.00000000000E+00 -0.13171358278E+03  0.13171358278E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.24236282329E+02  0.20361432601E+02 -0.50180386607E+02  0.10391201466E+03  0.85309145301E+02 0.  0.
       11    1    3    3    0    0  0.88302359395E+01 -0.46909369677E+01  0.22980200303E+02  0.25061276151E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.15406046389E+02  0.25052369569E+02 -0.73160586910E+02  0.78850738508E+02  0.00000000000E+00 0.  1.
        4    1    1    2  501    0  0.36064613649E+01 -0.23737676726E+02 -0.24338174567E+01  0.24133116818E+02  0.00000000000E+00 0. -1.
       -3    1    1    2    0  502 -0.27842743694E+02  0.33762441253E+01 -0.36631963679E+02  0.46135866349E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.28193347042E+03  0.28193347042E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.22024222276E+03  0.22024222276E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.58153757690E+01  0.14732035930E+03  0.10719718406E+03  0.19932950672E+03  0.80646817171E+02 0.  0.
      -11    1    3    3    0    0 -0.11177993289E+01  0.45804775134E+02 -0.70299764509E+01  0.46354584124E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.69331750979E+01  0.10151558416E+03  0.11422716051E+03  0.15297492259E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.16793477526E+02 -0.69909116018E+02  0.10848282327E+03  0.13014541226E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503  0.10978101757E+02 -0.77411243279E+02 -0.15398875966E+03  0.17270077419E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.52706754665E+02  0.52706754665E+02  0.00000000000E+00 0.  1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.36289893083E+03  0.36289893083E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.83030937492E+02 -0.11918003318E+02 -0.25886673190E+03  0.28374117407E+03  0.80379683945E+02 0.  0.
       11    1    3    3    0    0 -0.91954457588E+01  0.24243732216E+02 -0.11640672358E+03  0.11925954918E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.73835491733E+02 -0.36161735533E+02 -0.14246000832E+03  0.16448162489E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.45510065440E+02 -0.13732059638E+02  0.16413534624E+02  0.50290552165E+02  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502  0.37520872052E+02  0.25650062956E+02 -0.67738978884E+02  0.81573959260E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.19577014101E+03  0.19577014101E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.44226566169E+02  0.44226566169E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.11962022723E+02  0.31230159589E+02  0.22930122423E+02  0.91487423296E+02  0.82010641087E+02 0.  0.
      -11    1    3    3    0    0  0.75268858187E+01  0.59005858570E+02  0.21748131864E+02  0.63335034501E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.44351369041E+01 -0.27775698980E+02  0.11819905589E+01  0.28152388795E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.17902061535E+02 -0.24004160428E+02  0.20945939260E+02  0.36543342712E+02  0.00000000000E+00 0.  1.
       -2    1    1    2    0  502 -0.29864084258E+02 -0.72259991613E+01  0.10766751316E+03  0.11196594117E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.17249023878E+02  0.17249023878E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.49550898874E+03  0.49550898874E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.35251651127E+02  0.94685572030E+01 -0.38149551178E+03  0.39184781275E+03  0.81691801089E+02 0.  0.
      -11    1    3    3    0    0  0.21258760403E+02 -0.15210617322E+02 -0.81836723714E+02  0.85910110705E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.56510411530E+02  0.24679174525E+02 -0.29965878807E+03  0.30593770204E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.99815131476E+01 -0.12013902841E+02 -0.18384348106E+01  0.15727183751E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.45233164275E+02  0.25453456385E+01 -0.94926018269E+02  0.10518301612E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.93931385511E+02  0.93931385511E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.13246143836E+03  0.13246143836E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.16036171453E+01  0.39016406798E+02 -0.91950992577E+01  0.89097371523E+02  0.79554636411E+02 0.  0.
      -11    1    3    3    0    0 -0.47451001647E+01  0.50393022262E+02  0.22076174457E+02  0.55220740188E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.63487173100E+01 -0.11376615463E+02 -0.31271273715E+02  0.33876631335E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.16279213595E+02  0.73172352166E+01 -0.71042960601E+02  0.73250644894E+02  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.14675596450E+02 -0.46333642015E+02  0.41708007007E+02  0.64044807456E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.66760574636E+03  0.66760574636E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10127577827E+02  0.10127577827E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.29159660814E+02  0.31247373053E+01  0.35785011092E+03  0.36874932185E+03  0.84019704096E+02 0.  0.
       11    1    3    3    0    0  0.32486426955E+02 -0.12523105018E+02  0.34846908050E+03  0.35020407787E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.33267661413E+01  0.15647842323E+02  0.93810304213E+01  0.18545243975E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.49027552697E+02 -0.53074325149E+01  0.14696329960E+03  0.15501639008E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.19867891882E+02  0.21826952096E+01  0.15266475801E+03  0.15396761226E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.48634761687E+01  0.48634761687E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.11927862302E+04  0.11927862302E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.27415941342E+02  0.20810691600E+01 -0.92589042365E+03  0.93009913072E+03  0.83996140875E+02 0.  0.
      -11    1    3    3    0    0 -0.22416024534E+02  0.16962523718E+02 -0.95277075458E+02  0.99337437427E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.49999168079E+01 -0.14881454558E+02 -0.83061334819E+03  0.83076169330E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.10133411811E+02  0.70315743944E+01 -0.10982138135E+03  0.11051183138E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.37549353153E+02 -0.91126435544E+01 -0.15221094905E+03  0.15703874428E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.65552608424E+03  0.65552608424E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.98771768510E+02  0.98771768510E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.12464267577E+02  0.13067106215E+02  0.60281902814E+03  0.60812609878E+03  0.78105467759E+02 0.  0.
       11    1    3    3    0    0  0.35353122129E+02  0.76097169854E+00  0.52276635997E+03  0.52396096175E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22888854552E+02  0.12306134517E+02  0.80052668174E+02  0.84165137030E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.36778210549E+01  0.20038710036E+02 -0.88969101961E+02  0.91271996644E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.87864465219E+01 -0.33105816252E+02  0.42904389548E+02  0.54899757328E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.55458904723E+03  0.55458904723E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.30405916943E+02  0.30405916943E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.57788876381E+02 -0.20608647361E+02  0.29445936678E+03  0.31121070664E+03  0.79884383078E+02 0.  0.
      -11    1    3    3    0    0  0.52170464789E+02 -0.17333961134E+02  0.82422708855E+02  0.99074348547E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.56184115921E+01 -0.32746862274E+01  0.21203665793E+03  0.21213635809E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.29411834405E+02  0.15631489695E+02 -0.80539148738E+01  0.34267550510E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.28377041976E+02  0.49771576665E+01  0.23777767838E+03  0.23951670702E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.82992845043E+03  0.82992845043E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.20237720336E+02  0.20237720336E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.16311366333E+02 -0.21281636616E+02  0.79453793745E+03  0.79893916776E+03  0.79336567824E+02 0.  0.
      -11    1    3    3    0    0  0.12717717721E+02 -0.43451655467E+02  0.35270060631E+03  0.35559457870E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29029084054E+02  0.22170018852E+02  0.44183733114E+03  0.44334458906E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.78178149601E+01  0.15075233565E+02 -0.65344518788E+01  0.18195602742E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.24129181293E+02  0.62064030513E+01  0.21687244515E+02  0.33031400263E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.71575451322E+03  0.71575451322E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.38993932062E+02  0.38993932062E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.72988453918E+02  0.67469845471E+02  0.15486403024E+03  0.20123245545E+03  0.81437944534E+02 0.  0.
      -11    1    3    3    0    0 -0.27190363699E+01 -0.13699367490E+02  0.35937881337E+02  0.38556415074E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.75707490288E+02  0.81169212961E+02  0.11892614890E+03  0.16267604037E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.45555714793E+01  0.41480199162E+02  0.21086769858E+03  0.21495708051E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.77544025397E+02 -0.10895004463E+03  0.31102885233E+03  0.33855890933E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.82378304217E+02  0.82378304217E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.17485179332E+03  0.17485179332E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.47450421232E+02 -0.58104095957E+02 -0.10911686459E+03  0.15505267885E+03  0.80667308357E+02 0.  0.
      -11    1    3    3    0    0 -0.45809931897E+02 -0.10260567022E+02 -0.14699187605E+02  0.49192430437E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16404893355E+01 -0.47843528934E+02 -0.94417676987E+02  0.10586024841E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.76169455332E+01 -0.95536717571E+01 -0.33724805473E+01  0.12675335433E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.55067366766E+02  0.67657767714E+02  0.20015856035E+02  0.89502083257E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.33120439656E+03  0.33120439656E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25617898123E+02  0.25617898123E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11457388063E+02  0.48635452662E+02  0.14739560680E+03  0.17430743170E+03  0.78491635527E+02 0.  0.
      -11    1    3    3    0    0 -0.34157479153E+02  0.29264201051E+02  0.32220002797E+02  0.55328613081E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22700091090E+02  0.19371251611E+02  0.11517560400E+03  0.11897881862E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.93642004631E+01 -0.12843404759E+02  0.13321062664E+03  0.13415555279E+03  0.00000000000E+00 0.  1.
       -2    1    1    2    0  502  0.20821588526E+02 -0.35792047903E+02  0.24980265001E+02  0.48359310183E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12907308193E+03  0.12907308193E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.31966916492E+02  0.31966916492E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.10419221168E+02  0.18854886885E+02  0.56147338746E+02  0.99731917148E+02  0.79560446960E+02 0.  0.
      -11    1    3    3    0    0 -0.21811278121E+02  0.20308755721E+02  0.73278751261E+02  0.79107223429E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11392056953E+02 -0.14538688354E+01 -0.17131412515E+02  0.20624693719E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  503 -0.67836880588E+01 -0.17996282837E+02  0.27911329719E+01  0.19433863304E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.17202909227E+02 -0.85860404793E+00  0.38167693721E+02  0.41874217972E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.18491675189E+03  0.18491675189E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13287701568E+04  0.13287701568E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.20213736548E+02 -0.21081096359E+02 -0.35216666914E+03  0.36233976690E+03  0.80098289959E+02 0.  0.
      -11    1    3    3    0    0 -0.15044704457E+02 -0.41161969475E+02 -0.15713952891E+03  0.16313639204E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35258441005E+02  0.20080873115E+02 -0.19502714023E+03  0.19920337486E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.25708249134E+02 -0.45918198098E+02  0.17423873406E+03  0.18201244857E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.45921985682E+02  0.66999294457E+02 -0.96592546979E+03  0.96933469319E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.56929086944E+02  0.56929086944E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25036665688E+03  0.25036665688E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.26540234024E+02  0.12016197989E+02 -0.16273932199E+03  0.18426771836E+03  0.81374025780E+02 0.  0.
       11    1    3    3    0    0  0.43123604957E+02  0.21460763198E+02 -0.15717275729E+03  0.16438821520E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.16583370934E+02 -0.94445652090E+01 -0.55665647029E+01  0.19879503165E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.22843407409E+01  0.15485879862E+02  0.39402054936E+02  0.42397554421E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  503 -0.28824574765E+02 -0.27502077851E+02 -0.70100302879E+02  0.80630471040E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.54230321189E+02  0.54230321189E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15423407230E+03  0.15423407230E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.29428282678E+02  0.18302924093E+02 -0.52036986238E+01  0.88139157677E+02  0.80872812396E+02 0.  0.
       11    1    3    3    0    0 -0.42061642992E+02  0.37313523853E+01  0.27343842757E+02  0.50306963122E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.12633360314E+02  0.14571571708E+02 -0.32547541381E+02  0.37832194554E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.13233777479E+02 -0.36748796612E+01  0.16678036886E+01  0.13835431906E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  503  0.42662060157E+02 -0.14628044432E+02 -0.96467856174E+02  0.10648980390E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.65272772412E+02  0.65272772412E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.16115865612E+03  0.16115865612E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.48610450805E+01 -0.12816656359E+02  0.22165973848E+02  0.84302325052E+02  0.80172658513E+02 0.  0.
       11    1    3    3    0    0 -0.32656012627E+02 -0.28443369200E+02  0.28432423317E+02  0.51805821177E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27794967547E+02  0.15626712841E+02 -0.62664494696E+01  0.32496503875E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.18342832129E+02 -0.22050300014E+01  0.35929970504E+01  0.18821032799E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.13481787048E+02  0.15021686361E+02 -0.12164485460E+03  0.12330807068E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.71998245934E+03  0.71998245934E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.44047555546E+01  0.44047555546E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.45810175794E+01  0.84093934648E+00  0.51276690213E+03  0.51891996062E+03  0.79538272004E+02 0.  0.
      -11    1    3    3    0    0  0.23953885153E+02 -0.16188958315E+02  0.45176106575E+03  0.45268524552E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19372867573E+02  0.17029897661E+02  0.61005836380E+02  0.66234715103E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.23871405186E+01  0.14026898393E+02  0.14636505926E+03  0.14705503355E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.21938770608E+01 -0.14867837740E+02  0.56445742393E+02  0.58412220724E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.63538233602E+02  0.63538233602E+02  0.00000000000E+00 0.  1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.17488410316E+03  0.17488410316E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.32165227258E+02  0.95800147539E+01 -0.10185487217E+03  0.13498702364E+03  0.81979894107E+02 0.  0.
       11    1    3    3    0    0 -0.14668787286E+02  0.15815479630E+02  0.12139194760E+01  0.21605006754E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.46834014544E+02 -0.62354648760E+01 -0.10306879165E+03  0.11338201688E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.22837173685E+02 -0.27448514709E+02 -0.48086183618E+02  0.59893559893E+02  0.00000000000E+00 0. -1.
       -3    1    1    2    0  502 -0.93280535725E+01  0.17868499955E+02  0.38595186233E+02  0.43541753231E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.39979728658E+03  0.39979728658E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.25618967377E+02  0.25618967377E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.12153674261E+02  0.66020244000E+01  0.19411028024E+03  0.21066565960E+03  0.80684079686E+02 0.  0.
      -11    1    3    3    0    0  0.10708069870E+02 -0.22174947095E+02  0.14124665871E+02  0.28388329027E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.14456043914E+01  0.28776971495E+02  0.17998561437E+03  0.18227733057E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.38119271038E+02 -0.51354866621E+02  0.11533474749E+03  0.13188064729E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.25965596777E+02  0.44752842221E+02  0.64733291475E+02  0.82869947074E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.96817426327E+02  0.96817426327E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.59468386880E+03  0.59468386880E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.33374758303E+02 -0.21819297885E+02  0.69398257924E+02  0.11463946962E+03  0.82073951647E+02 0.  0.
       11    1    3    3    0    0 -0.53090576334E+02  0.97422469692E+01  0.39080926555E+02  0.66639624038E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.19715818031E+02 -0.31561544854E+02  0.30317331369E+02  0.47999845578E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.18402056576E+02 -0.64549876237E+01 -0.17606878409E+02  0.26273650655E+02  0.00000000000E+00 0. -1.
        2    1    1    2  502    0  0.14972701727E+02  0.28274285508E+02 -0.54965782199E+03  0.55058817486E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.28985319138E+02  0.28985319138E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.78429270012E+03  0.78429270012E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.33646022308E+02 -0.33056455657E+02 -0.68939934520E+03  0.69657758614E+03  0.87886815151E+02 0.  0.
      -11    1    3    3    0    0 -0.16531511536E+02 -0.44086642290E+02 -0.27440154895E+03  0.27841180464E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.50177533844E+02  0.11030186634E+02 -0.41499779625E+03  0.41816578150E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.43127572569E+01 -0.22245435717E+02  0.48046717365E-02  0.22659640520E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.37958779565E+02  0.55301891374E+02 -0.65912840459E+02  0.94040792601E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.60884614467E+03  0.60884614467E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.16960715284E+02  0.16960715284E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.44157278837E+02  0.40850116959E+02  0.22775916477E+03  0.24949755370E+03  0.82196075551E+02 0.  0.
       11    1    3    3    0    0 -0.56840198622E+02  0.39196981223E+02  0.22633053006E+03  0.23662780976E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.12682919784E+02  0.16531357369E+01  0.14286347169E+01  0.12869743944E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.80621150513E+00 -0.22377171614E+02  0.27115273732E+03  0.27207571509E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.43351067332E+02 -0.18472945346E+02  0.92973527293E+02  0.10423359116E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.22944231802E+02  0.22944231802E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.32424124367E+03  0.32424124367E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.23844441807E+02 -0.13358601130E+02 -0.20714592261E+03  0.22399662595E+03  0.80734413682E+02 0.  0.
       11    1    3    3    0    0 -0.32006347693E+02  0.10352372413E+02 -0.29964299729E+02  0.45049274861E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.81619058859E+01 -0.23710973543E+02 -0.17718162288E+03  0.17894735108E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.49894455126E+02  0.17472209607E+01 -0.68965941221E+02  0.85139946452E+02  0.00000000000E+00 0. -1.
       -3    1    1    2    0  502 -0.26050013319E+02  0.11611380169E+02 -0.25185148037E+02  0.38048903072E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.20613079081E+04  0.20613079081E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.50170064439E+02  0.50170064439E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.65445650489E+01 -0.22568900122E+02  0.10646524797E+04  0.10679702694E+04  0.80767613336E+02 0.  0.
      -11    1    3    3    0    0 -0.23110574153E+01 -0.13181746506E+02  0.10405018455E+04  0.10405879059E+04  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.88556224641E+01 -0.93871536160E+01  0.24150634184E+02  0.27382363552E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.43716229736E+02  0.24372693472E+02 -0.35153947453E+02  0.61163199319E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.37171664687E+02 -0.18037933496E+01  0.98163931151E+03  0.98234450384E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.94060811147E+02  0.94060811147E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.19824334765E+04  0.19824334765E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.34156854269E+02  0.20608727506E+03 -0.91983206124E+03  0.94668904983E+03  0.80563518707E+02 0.  0.
      -11    1    3    3    0    0 -0.27989288846E+02  0.14214522774E+03 -0.77240854552E+03  0.78587761595E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.61675654231E+01  0.63942047324E+02 -0.14742351572E+03  0.16081143388E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.39087837563E+02 -0.29651597073E+03 -0.20896678075E+03  0.36485160737E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.49309832936E+01  0.90428695668E+02 -0.75957382335E+03  0.76495363043E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.35485656176E+02  0.35485656176E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.25913542532E+03  0.25913542532E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.66785537738E+02 -0.14409750426E+02 -0.13089597224E+03  0.16761426475E+03  0.79327405359E+02 0.  0.
      -11    1    3    3    0    0 -0.45621243785E+02 -0.22046937253E+02 -0.20024121906E+02  0.54482389677E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21164293953E+02  0.76371868274E+01 -0.11087185034E+03  0.11313187508E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.20180802325E+02 -0.85800857067E+01 -0.14834531390E+01  0.21979155726E+02  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.46604735413E+02  0.22989836133E+02 -0.91270343758E+02  0.10502766101E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12763846600E+02  0.12763846600E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.18809075207E+04  0.18809075207E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.97957536418E+01 -0.41304417113E+01 -0.15207365837E+04  0.15228967329E+04  0.80384605927E+02 0.  0.
      -11    1    3    3    0    0 -0.27904834180E+02 -0.22216996180E+02 -0.92905186286E+03  0.92973632745E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.37700587822E+02  0.18086554468E+02 -0.59168472083E+03  0.59316040549E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.67026186369E+01  0.29625405581E+02 -0.94030636756E+01  0.31796341911E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.30931350050E+01 -0.25494963870E+02 -0.33800402679E+03  0.33897829251E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.57698238407E+03  0.57698238407E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.67674717805E+02  0.67674717805E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.44706109171E+02 -0.84108004262E+02  0.25154475476E+03  0.28097588570E+03  0.81239720082E+02 0.  0.
       11    1    3    3    0    0  0.12090540191E+02 -0.25868878701E+02  0.14020873075E+03  0.14308692542E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.56796649362E+02 -0.58239125561E+02  0.11133602401E+03  0.13788896028E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.10394115243E+03  0.68621504853E+02  0.30382630042E+02  0.12820209946E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.59235043257E+02  0.15486499409E+02  0.22738028146E+03  0.23547911672E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.87178770700E+01  0.87178770700E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.70043780010E+03  0.70043780010E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.27044083394E+02 -0.28280663552E+02 -0.29035140479E+03  0.30343622512E+03  0.78983707635E+02 0.  0.
       11    1    3    3    0    0  0.10407014594E+01  0.20679249220E+02 -0.16074040008E+03  0.16206847511E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.28084784854E+02 -0.48959912772E+02 -0.12961100472E+03  0.14136775001E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.11900298452E+02  0.34259385609E+01 -0.62391940061E+02  0.63609027211E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.38944381846E+02  0.24854724991E+02 -0.33897657818E+03  0.34211042484E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.18469154406E+04  0.18469154406E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.62533442281E+01  0.62533442281E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.33014001894E+02 -0.76488410378E+01  0.16017820107E+04  0.16040625312E+04  0.78502007782E+02 0.  0.
      -11    1    3    3    0    0  0.14356455428E+02  0.21665250325E+02  0.31303200336E+03  0.31410909890E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.47370457322E+02 -0.29314091363E+02  0.12887500073E+04  0.12899534323E+04  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.51199735691E+02  0.61590691466E+01  0.15837581921E+03  0.16656004076E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.18185733797E+02  0.14897718912E+01  0.80504266419E+02  0.82546212788E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.15708230908E+02  0.15708230908E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.17869257354E+04  0.17869257354E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.55445252868E+01 -0.87598934431E+02 -0.93255331838E+03  0.94010411982E+03  0.80223122615E+02 0.  0.
      -11    1    3    3    0    0  0.15341511119E+01  0.15052575240E+02 -0.83639279949E+02  0.84996839891E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40103741749E+01 -0.10265150967E+03 -0.84891403843E+03  0.85510727993E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.25262161871E+02  0.92049513937E+01 -0.81557314342E+01  0.28096688556E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.19717636584E+02  0.78393983037E+02 -0.83050845463E+03  0.83443315789E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.50708829381E+02  0.50708829381E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.31802667982E+03  0.31802667982E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.21179234883E+02 -0.34321740370E+02 -0.44945618851E+02  0.96145490677E+02  0.74815137982E+02 0.  0.
      -11    1    3    3    0    0  0.49215287442E+02 -0.19564930330E+02 -0.23862215364E+02  0.58089038027E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.28036052559E+02 -0.14756810041E+02 -0.21083403487E+02  0.38056452650E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.58090732162E+02  0.16684497167E+02 -0.22363853996E+03  0.23166161133E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.36911497278E+02  0.17637243203E+02  0.12663083646E+01  0.40928407201E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.84811629238E+02  0.84811629238E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.32746865029E+03  0.32746865029E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.85370941588E+02  0.43694330748E+02 -0.20970045449E+01  0.12526136039E+03  0.80551963171E+02 0.  0.
      -11    1    3    3    0    0 -0.92515398202E+02  0.47773739077E+02 -0.19572814397E+02  0.10594585463E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.71444566142E+01 -0.40794083294E+01  0.17475809852E+02  0.19315505756E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.30751189012E+02 -0.48801245076E+01 -0.21184166645E+03  0.21411759125E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.54619752576E+02 -0.38814206240E+02 -0.28718350058E+02  0.72901327886E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.12213507157E+04  0.12213507157E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.66660087180E+01  0.66660087180E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.19359532029E+01 -0.23987966196E+02  0.10092010517E+04  0.10128187972E+04  0.82073033059E+02 0.  0.
       11    1    3    3    0    0  0.20754870303E+01 -0.12369397273E+01  0.93940664773E+03  0.93940975483E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.13953382742E+00 -0.22751026469E+02  0.69794403943E+02  0.73409042337E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.38899549733E+01 -0.12236101785E+02  0.13787533010E+03  0.13847187652E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.19540017704E+01  0.36224067981E+02  0.67608325229E+02  0.76726050754E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.42778712530E+02  0.42778712530E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.19241953415E+03  0.19241953415E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.28936912589E+01 -0.30758215234E+02 -0.27881135478E+02  0.90006765332E+02  0.79808638859E+02 0.  0.
      -11    1    3    3    0    0 -0.20799863062E+02 -0.53008052709E+02 -0.20354426077E+02  0.60471403294E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17906171803E+02  0.22249837475E+02 -0.75267094010E+01  0.29535362038E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.23147153620E+02  0.41452199525E+02 -0.95702349639E+02  0.10683171483E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.26040844879E+02 -0.10693984291E+02 -0.26057336508E+02  0.38359766526E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.98349286067E+02  0.98349286067E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.40738040117E+02  0.40738040117E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.75598241628E+01  0.72981704038E+00  0.64157740693E+02  0.10302710623E+03  0.80253880617E+02 0.  0.
       11    1    3    3    0    0  0.26046409762E+02  0.18804994624E+02  0.69554564491E+02  0.76615146843E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.18486585599E+02 -0.18075177583E+02 -0.53968237980E+01  0.26411959392E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.21333440295E+02 -0.81958649123E+00 -0.63916737127E+01  0.22285441205E+02  0.00000000000E+00 0.  1.
        4    1    1    2  501    0  0.13773616132E+02  0.89769450846E-01 -0.15482102986E+00  0.13774778745E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.90028640044E+02  0.90028640044E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.54369738536E+02  0.54369738536E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.34532779183E+01 -0.15078961161E+02  0.55871925561E+02  0.99426954029E+02  0.80775905587E+02 0.  0.
      -11    1    3    3    0    0  0.36075447598E+01 -0.33921254648E+01 -0.21048747139E+02  0.21623382032E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15426684148E+00 -0.11686835696E+02  0.76920672700E+02  0.77803571997E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.15925016074E+02  0.12226892402E+02 -0.66624849153E+01  0.21154000567E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.19378293993E+02  0.28520687591E+01 -0.13550539138E+02  0.23817423983E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.22007361544E+02  0.22007361544E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.11996856229E+04  0.11996856229E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.15410656189E+02  0.29105086831E+02 -0.11625841868E+04  0.11658973522E+04  0.81425120468E+02 0.  0.
      -11    1    3    3    0    0  0.40323905448E+01  0.50481580800E+01 -0.57481143707E+01  0.86478258728E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19443046734E+02  0.24056928751E+02 -0.11568360724E+04  0.11572495264E+04  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.19583997762E+02 -0.36579004891E+01 -0.21410790009E+02  0.29246113129E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.41733415730E+01 -0.25447186341E+02  0.63167153689E+01  0.26549519122E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.68142924617E+02  0.68142924617E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.33234999378E+03  0.33234999378E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.33598150993E+02 -0.15058918899E+02 -0.75784776827E+02  0.11682024777E+03  0.80919905476E+02 0.  0.
      -11    1    3    3    0    0 -0.14366930568E+02 -0.10932207974E+01  0.10007444464E+02  0.17542883753E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47965081561E+02 -0.13965698101E+02 -0.85792221291E+02  0.99277364019E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.37266497786E+02  0.86559656083E+02 -0.14743211807E+03  0.17497884260E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.70864648779E+02 -0.71500737185E+02 -0.40990174267E+02  0.10869382803E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.15148879307E+04  0.15148879307E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.35496165726E+02  0.35496165726E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.10006130790E+02  0.83022425049E+00  0.14066284748E+04  0.14089575319E+04  0.80354518385E+02 0.  0.
      -11    1    3    3    0    0  0.10830002410E+02 -0.35865852519E+02  0.78910440385E+03  0.78999329649E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20836133201E+02  0.36696076770E+02  0.61752407098E+03  0.61896423542E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.15544041406E+01 -0.23732860042E+02 -0.28410003221E+02  0.37051222666E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.11560534931E+02  0.22902635792E+02  0.10117329337E+03  0.10437534184E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.15884715950E+02  0.15884715950E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10785789082E+04  0.10785789082E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.40266479602E+02  0.71346510049E+02 -0.42080543536E+03  0.43622740379E+03  0.80656180856E+02 0.  0.
      -11    1    3    3    0    0 -0.23263959555E+02  0.75157735572E+01 -0.74806039523E+02  0.78699696413E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.63530439157E+02  0.63830736492E+02 -0.34599939584E+03  0.35752770737E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.29286323792E+02 -0.19445168359E+02 -0.57177459279E+02  0.67119782355E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.69552803394E+02 -0.51901341690E+02 -0.58471129757E+03  0.59111643797E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.74297840331E+03  0.74297840331E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.35033502550E+02  0.35033502550E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.25456128574E+02 -0.64820974520E+02  0.40176099932E+03  0.41558770201E+03  0.80321007640E+02 0.  0.
      -11    1    3    3    0    0 -0.19812787204E+02  0.59207888596E+01  0.11233284818E+03  0.11422027428E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.45268915778E+02 -0.70741763379E+02  0.28942815114E+03  0.30136742773E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.76991952152E+01  0.16742131490E+02 -0.22220359110E+02  0.28867298674E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.33155323789E+02  0.48078843030E+02  0.32840426055E+03  0.33355690518E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10494364399E+03  0.10494364399E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.61851346809E+03  0.61851346809E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.10643319314E+03  0.35424249071E+01 -0.27293020871E+02  0.13617148750E+03  0.80356652771E+02 0.  0.
      -11    1    3    3    0    0  0.60632425259E+02  0.36373133084E+02  0.55909484456E+01  0.70926402050E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.45800767879E+02 -0.32830708177E+02 -0.32883969317E+02  0.65245085453E+02  0.00000000000E+00 0. -1.
        2    1    1    2  502    0 -0.18544751741E+03  0.35561106618E+01 -0.47138945640E+03  0.50656830462E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.79014324267E+02 -0.70985355689E+01 -0.14887346831E+02  0.80717319965E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12877091017E+04  0.12877091017E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.26463607979E+02  0.26463607979E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.55793683018E+02  0.29917603610E+02  0.74464546516E+03  0.75162423256E+03  0.80212967214E+02 0.  0.
       11    1    3    3    0    0  0.68889630158E+02  0.32881097074E+02  0.43212134825E+03  0.43881181308E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.13095947140E+02 -0.29634934635E+01  0.31252411691E+03  0.31281241948E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.40855177816E+01  0.34600107246E+02 -0.43202290591E+01  0.35107310579E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.51708165236E+02 -0.64517710856E+02  0.52092025757E+03  0.52744116650E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.94455146068E+02  0.94455146068E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.39484998673E+03  0.39484998673E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.54396192476E+02 -0.88829803006E+02 -0.14679079052E+03  0.19714040160E+03  0.80418418944E+02 0.  0.
      -11    1    3    3    0    0  0.66561036537E+02 -0.32786209396E+02 -0.80179447287E+02  0.10924308161E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.12164844061E+02 -0.56043593610E+02 -0.66611343230E+02  0.87897319997E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.73212025476E+02  0.11600425442E+03 -0.21977569359E+01  0.13719263047E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.18815832999E+02 -0.27174451417E+02 -0.15140629321E+03  0.15497210073E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.78996865506E+02  0.78996865506E+02  0.00000000000E+00 0. -1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.18332212474E+03  0.18332212474E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.22637654405E+02  0.49583742821E+02 -0.65443264870E+01  0.97138186814E+02  0.80137308285E+02 0.  0.
      -11    1    3    3    0    0  0.20249924348E+02 -0.32882883673E+01 -0.32310723012E+02  0.38273425481E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23877300567E+01  0.52872031189E+02  0.25766396525E+02  0.58864761333E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.37842299781E+02 -0.98214696503E+01  0.17095505361E+02  0.42670331875E+02  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.15204645376E+02 -0.39762273171E+02 -0.11487643811E+03  0.12251047156E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.30713442359E+03  0.30713442359E+03  0.00000000000E+00 0. -1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.96027304081E+02  0.96027304081E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.30186193541E+02 -0.32578893486E+02  0.14987396802E+03  0.17608404738E+03  0.81060439631E+02 0.  0.
      -11    1    3    3    0    0  0.22807515519E+01 -0.49416658203E+02  0.52822674975E+02  0.72370179820E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.32466945093E+02  0.16837764718E+02  0.97051293040E+02  0.10371386756E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.35572708015E+02 -0.57577598111E+02 -0.38111482691E+02  0.77672919815E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.65758901555E+02  0.90156491597E+02  0.99344634189E+02  0.14940476048E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.28881455743E+03  0.28881455743E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.63943321247E+02  0.63943321247E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.67507826321E+02  0.31539012243E+02  0.17466710562E+03  0.20610692308E+03  0.80121470566E+02 0.  0.
      -11    1    3    3    0    0  0.14762634416E+02 -0.93520829489E+01  0.25355809690E+02  0.30794705964E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.82270460737E+02  0.40891095192E+02  0.14931129593E+03  0.17531221711E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.67810979744E+02  0.54074923871E+00 -0.18955675043E+02  0.70412633809E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.30315342269E+00 -0.32079761482E+02  0.69159805601E+02  0.76238321791E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.26761243754E+03  0.26761243754E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.17366721366E+03  0.17366721366E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.18531262850E+02 -0.19699204897E+02 -0.15982159305E+03  0.18028504423E+03  0.78919510831E+02 0.  0.
      -11    1    3    3    0    0 -0.49090300531E+02 -0.17808450249E+02 -0.90147855023E+02  0.10418077688E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30559037681E+02 -0.18907546484E+01 -0.69673738032E+02  0.76104267347E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.90635903786E+01  0.30263040938E+02  0.23671459006E+03  0.23881331090E+03  0.00000000000E+00 0.  1.
       -2    1    1    2    0  501  0.94676724713E+01 -0.10563836041E+02  0.17052226870E+02  0.22181296065E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17346716195E+02  0.17346716195E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14246133542E+04  0.14246133542E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.45746556272E+02  0.33287755354E+02 -0.10926301232E+04  0.10970287927E+04  0.80192042434E+02 0.  0.
      -11    1    3    3    0    0  0.14688243771E+02  0.55970415356E+02 -0.75529207941E+03  0.75750548323E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.31058312501E+02 -0.22682660002E+02 -0.33733804381E+03  0.33952330943E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.33979461324E+02  0.15622741980E+02 -0.15910658808E+03  0.16344289593E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.79726017596E+02 -0.48910497334E+02 -0.15552992666E+03  0.18148838177E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.74727771469E+03  0.74727771469E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.90417202638E+02  0.90417202638E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.63838612120E+02  0.84634293335E+01  0.65929366753E+03  0.66738931390E+03  0.81199496481E+02 0.  0.
      -11    1    3    3    0    0  0.50654762377E+01  0.10221857396E+02  0.12460335425E+02  0.16893944981E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.68904088358E+02 -0.17584280624E+01  0.64683333210E+03  0.65049536892E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.76413866417E+01 -0.14361560724E+02 -0.69941889785E+02  0.71808865489E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.71479998762E+02  0.58981313902E+01  0.67508734304E+02  0.98496737937E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.24329666266E+03  0.24329666266E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.85426294523E+02  0.85426294523E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.47064855850E+02 -0.70115783422E+02  0.84237148661E+02  0.14367515937E+03  0.80095758095E+02 0.  0.
       11    1    3    3    0    0  0.39573371802E+02 -0.31555492164E+02  0.90699112150E+02  0.10386592216E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.74914840476E+01 -0.38560291258E+02 -0.64619634889E+01  0.39809237210E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.87012605571E+01  0.32370008350E+02  0.11332306288E+03  0.11817633417E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.38363595292E+02  0.37745775071E+02 -0.39689843411E+02  0.66871463641E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.46496112391E+03  0.46496112391E+03  0.00000000000E+00 0.  1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.52908603618E+02  0.52908603618E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.24273531245E+02 -0.19189691140E+02 -0.52217836901E+01  0.86705116341E+02  0.80827356815E+02 0.  0.
       11    1    3    3    0    0  0.16045186655E+02 -0.12620870549E+02  0.37504665921E+02  0.42700519365E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.82283445905E+01 -0.65688205909E+01 -0.42726449611E+02  0.44004596976E+02  0.00000000000E+00 0.  1.
        2    1    1    2  502    0  0.12962775340E+02  0.32383218012E+02  0.35942456090E+03  0.36111316970E+03  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502 -0.37236306585E+02 -0.13193526872E+02  0.57849743082E+02  0.70051441485E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21303316324E+03  0.21303316324E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.11267279010E+03  0.11267279010E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.47029651109E+01 -0.21262599611E+02  0.93357968155E+02  0.13129005262E+03  0.89705917727E+02 0.  0.
      -11    1    3    3    0    0 -0.28749045795E+01  0.16137389230E+02 -0.11288839528E+02  0.19902721055E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.75778696904E+01 -0.37399988841E+02  0.10464680768E+03  0.11138733156E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.70095899709E+02  0.30955473009E+02 -0.62213552970E+02  0.98702596918E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.65392934598E+02 -0.96928733984E+01  0.69215957955E+02  0.95713303808E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.82702998609E+03  0.82702998609E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.55901974876E+03  0.55901974876E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.25067316943E+02 -0.15978471149E+02  0.61849536126E+03  0.62452501032E+03  0.81309868368E+02 0.  0.
       11    1    3    3    0    0  0.27039944983E+02  0.64597561127E+01  0.14482641845E+03  0.14747060234E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.52107261926E+02 -0.22438227262E+02  0.47366894281E+03  0.47705440798E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.34441371987E+01  0.18992133541E+02 -0.55525695470E+03  0.55559234063E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.21623179744E+02 -0.30136623919E+01  0.20477183078E+03  0.20593238391E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.95767346712E+03  0.95767346712E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.23284997150E+02  0.23284997150E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.79598483913E+01 -0.78645958817E+01  0.68262549185E+02  0.10731291539E+03  0.82043129708E+02 0.  0.
      -11    1    3    3    0    0  0.18079327778E+01 -0.39031505216E+02  0.63139690217E+02  0.74251919175E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.97677811691E+01  0.31166909334E+02  0.51228589680E+01  0.33060996211E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.19853469800E+01 -0.14388884843E+02  0.11028089219E+02  0.18237334276E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.59745014112E+01  0.22253480725E+02  0.85509783157E+03  0.85540821461E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.48951474109E+02  0.48951474109E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18715382318E+03  0.18715382318E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.45389374798E+01  0.35283659534E+01 -0.32544250685E+02  0.86437600942E+02  0.79870390535E+02 0.  0.
       11    1    3    3    0    0  0.14011654837E+02 -0.10036505944E+02  0.22852266153E+02  0.28623137340E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.94727173573E+01  0.13564871898E+02 -0.55396516839E+02  0.57814463602E+02  0.00000000000E+00 0.  1.
        1    1    1    2  502    0  0.34267430319E+02  0.17088619061E+02 -0.34905349185E+01  0.38450767431E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  501 -0.38806367798E+02 -0.20616985015E+02 -0.10216756347E+03  0.11121692892E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.59312431676E+02  0.59312431676E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.34214428562E+03  0.34214428562E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.13646767406E+02  0.73400844226E+02 -0.12383215862E+02  0.10729941225E+03  0.76065114472E+02 0.  0.
       11    1    3    3    0    0 -0.16877157588E+02  0.53957339258E+02  0.18746668210E+02  0.59562324308E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.30523924994E+02  0.19443504968E+02 -0.31129884072E+02  0.47737087938E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  503 -0.79742311407E+01 -0.17097606289E+02 -0.10667192035E+01  0.18895882963E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.56725362649E+01 -0.56303237937E+02 -0.26938191888E+03  0.27526142208E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.69659186251E+03  0.69659186251E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.27278322616E+03  0.27278322616E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.27144307187E+02 -0.10487711484E+02  0.62810358269E+03  0.63379984308E+03  0.79632436891E+02 0.  0.
       11    1    3    3    0    0 -0.15164298502E+01  0.10130141913E+01  0.56165344277E+03  0.56165640345E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.25627877337E+02 -0.11500725675E+02  0.66450139917E+02  0.72143439639E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.96828568068E+01  0.14770417003E+02 -0.26840829132E+03  0.26898872426E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.17461450380E+02 -0.42827055189E+01  0.64113344989E+02  0.66586521321E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23895743019E+03  0.23895743019E+03  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.15025120586E+03  0.15025120586E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.75084609016E+01  0.16454053264E+02  0.13087293548E+03  0.15609533208E+03  0.83131910860E+02 0.  0.
      -11    1    3    3    0    0  0.98853906919E+00  0.26705763348E+02  0.21610172206E+01  0.26811284954E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.65199218325E+01 -0.10251710083E+02  0.12871191825E+03  0.12928404713E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.61668868680E+00 -0.40976455571E+02  0.89800840332E+02  0.98709883702E+02  0.00000000000E+00 0.  1.
       -3    1    1    2    0  501 -0.68917722148E+01  0.24522402306E+02 -0.13196755147E+03  0.13440342027E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.51297532957E+02  0.51297532957E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.17079740806E+03  0.17079740806E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.22669355011E+02 -0.42018502030E+01  0.91136555761E+01  0.84013636151E+02  0.80272517960E+02 0.  0.
      -11    1    3    3    0    0  0.10169720261E+02  0.93189404163E+01 -0.34238756586E+02  0.36912847536E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12499634750E+02 -0.13520790619E+02  0.43352412162E+02  0.47100788615E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  503 -0.44735753604E+01  0.16639613950E+02 -0.16620796449E+02  0.23940353037E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.18195779651E+02 -0.12437763747E+02 -0.11199273423E+03  0.11414095183E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11832524482E+03  0.11832524482E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.83498674956E+02  0.83498674956E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.12641545770E+02 -0.65383095965E+02  0.56781449394E+02  0.11929941113E+03  0.81076868366E+02 0.  0.
      -11    1    3    3    0    0  0.16436554658E+02  0.21202596048E+01  0.40862492456E+02  0.44095341245E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29078100428E+02 -0.67503355570E+02  0.15918956939E+02  0.75204069888E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.10751701202E+02  0.11917683217E+02  0.68406940060E+01  0.17447789157E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.23393246971E+02  0.53465412748E+02 -0.28795573534E+02  0.65076719488E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.15535844217E+03  0.15535844217E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.81438494550E+02  0.81438494550E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.11499950900E+01 -0.38504628373E+02 -0.26010977295E+02  0.87375155686E+02  0.73985931071E+02 0.  0.
       11    1    3    3    0    0 -0.23713584783E+02 -0.16766831528E+02  0.17386970637E+02  0.33849187445E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.22563589693E+02 -0.21737796845E+02 -0.43397947932E+02  0.53525968242E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.29030486690E+02 -0.80824752529E+01  0.87492295329E+02  0.92536464734E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.30180481780E+02  0.46587103626E+02  0.12438629588E+02  0.56885316302E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.51365476887E+03  0.51365476887E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.18551869545E+02  0.18551869545E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.26701807902E+02  0.22182729244E+01  0.34881411498E+03  0.35919856798E+03  0.81451931556E+02 0.  0.
      -11    1    3    3    0    0  0.18584862922E+02 -0.87916501137E+01  0.34412497565E+03  0.34473858082E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.81169449807E+01  0.11009923038E+02  0.46891393303E+01  0.14459987164E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.31486573263E+02 -0.78563779039E+01  0.38208585939E+02  0.50130060932E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.58188381165E+02  0.56381049795E+01  0.10808019841E+03  0.12287800950E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.69052878991E+03  0.69052878991E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.14371718186E+02  0.14371718186E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.29435948124E+01 -0.37446478869E+02  0.47470641283E+03  0.48326378832E+03  0.82382080511E+02 0.  0.
      -11    1    3    3    0    0  0.14282980027E+02  0.86462208846E+01  0.20679658834E+02  0.26578354793E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17226574839E+02 -0.46092699754E+02  0.45402675399E+03  0.45668543352E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.95953948620E+01 -0.22601003620E+02  0.10095889679E+03  0.10390176037E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.12538989674E+02  0.60047482489E+02  0.10049176210E+03  0.11773495941E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.23635839564E+03  0.23635839564E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.23126704923E+03  0.23126704923E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.67469557593E+02  0.47679892418E+02  0.18374179294E+02  0.11271482785E+03  0.74441309833E+02 0.  0.
       11    1    3    3    0    0 -0.24585806161E+02 -0.91362676892E+01  0.30800369505E+02  0.40454863905E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.42883751431E+02  0.56816160107E+02 -0.12426190211E+02  0.72259963945E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.26558387666E+02 -0.64506437221E-01 -0.17730621276E+03  0.17928425809E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.40911169927E+02 -0.47615385981E+02  0.16402337987E+03  0.17562635893E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.80262424460E+02  0.80262424460E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.52448289492E+02  0.52448289492E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.19506652591E+01  0.19418830540E+01 -0.75277243952E+01  0.81251326347E+02  0.80855027016E+02 0.  0.
      -11    1    3    3    0    0  0.31688846076E+01 -0.36105908046E+02 -0.19741904396E+02  0.41272523725E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.12182193485E+01  0.38047791100E+02  0.12214180001E+02  0.39978802621E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.17442836608E+02 -0.97335632122E+01  0.20666099894E+02  0.28741650728E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.15492171349E+02  0.77916801582E+01  0.14675759470E+02  0.22717736877E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.62883058886E+01  0.62883058886E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.94691954687E+03  0.94691954687E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.13000645792E+02 -0.20220957746E+02 -0.61180153748E+03  0.61743261056E+03  0.79649252344E+02 0.  0.
      -11    1    3    3    0    0 -0.46624983072E+01 -0.26356561231E+02 -0.64782359617E+02  0.70093946443E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17663144099E+02  0.61356034851E+01 -0.54701917786E+03  0.54733866412E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.49187573095E+01  0.35271502475E+02 -0.10824822657E+03  0.11395591961E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.17919403102E+02 -0.15050544730E+02 -0.22058147694E+03  0.22181932258E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.44363718458E+03  0.44363718458E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.12304961210E+04  0.12304961210E+04  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.32428289278E+02 -0.40743652453E+01  0.36431379716E+03  0.37460955175E+03  0.80867663913E+02 0.  0.
      -11    1    3    3    0    0  0.47707567987E+02 -0.24095324448E+02  0.15868350140E+03  0.16744267771E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15279278708E+02  0.20020959203E+02  0.20563029576E+03  0.20716687404E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.14386785855E+02  0.86804728950E+01 -0.12241211246E+04  0.12242364387E+04  0.00000000000E+00 0.  1.
        1    1    1    2  502    0 -0.18041503424E+02 -0.46061076497E+01  0.72948390980E+02  0.75287315133E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.57219641213E+02  0.57219641213E+02  0.00000000000E+00 0.  1.
        3   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.10603311528E+03  0.10603311528E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.23962084251E+02  0.33311671867E+02 -0.33991701834E+02  0.91770487909E+02  0.74716381693E+02 0.  0.
       11    1    3    3    0    0 -0.98406398784E+01 -0.19028976762E+02 -0.14363259253E+01  0.21470984653E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.33802724129E+02  0.52340648629E+02 -0.32555375909E+02  0.70299503256E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.30724121011E+02 -0.11873551343E+02 -0.29842052356E+02  0.44446607544E+02  0.00000000000E+00 0. -1.
        4    1    1    2  501    0  0.67620367600E+01 -0.21438120524E+02  0.15020280124E+02  0.27035661038E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.52693442484E+03  0.52693442484E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.16707789640E+03  0.16707789640E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.26886375858E+02 -0.10889088946E+02  0.47375416248E+03  0.48200331767E+03  0.83921048125E+02 0.  0.
      -11    1    3    3    0    0  0.45853774874E+02  0.28459884018E+01  0.42936178655E+03  0.43181270485E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.18967399015E+02 -0.13735077347E+02  0.44392375930E+02  0.50190612826E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.11563693184E+02  0.27582595422E+02 -0.15227039912E+03  0.15517987311E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503 -0.38450069042E+02 -0.16693506477E+02  0.38372765082E+02  0.56829130451E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10088178371E+03  0.10088178371E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.49384218821E+03  0.49384218821E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.46655346561E+01  0.44306438875E+02 -0.43275324215E+03  0.44267091034E+03  0.81837268612E+02 0.  0.
       11    1    3    3    0    0  0.26675807802E+02  0.43028341101E+02 -0.39998421163E+03  0.40317540403E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22010273146E+02  0.12780977735E+01 -0.32769030516E+02  0.39495506312E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.36840414125E+02 -0.50839705768E+02 -0.30776753320E+02  0.69922101945E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.41505948781E+02  0.65332668929E+01  0.70569590974E+02  0.82130959636E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.51020476758E+03  0.51020476758E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11272306938E+03  0.11272306938E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.64676902937E+02  0.50662947184E+02  0.94233141808E+02  0.14837214399E+03  0.79903517488E+02 0.  0.
      -11    1    3    3    0    0  0.83148336423E+02  0.45812404079E+02  0.72578347379E+02  0.11949911600E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.18471433486E+02  0.48505431044E+01  0.21654794429E+02  0.28873027988E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.64687060805E+02 -0.20272165209E+03  0.16960783975E+03  0.27211634160E+03  0.00000000000E+00 0.  1.
       -4    1    1    2    0  503  0.10157868287E-01  0.15205870490E+03  0.13364071664E+03  0.20243935137E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.64723380115E+03  0.64723380115E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.41996069224E+02  0.41996069224E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.56094951064E+02 -0.86898288288E+02  0.31570163116E+03  0.34159870039E+03  0.79524814697E+02 0.  0.
      -11    1    3    3    0    0 -0.18577055007E+02 -0.50809078925E+02  0.25914180847E+03  0.26472843892E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.37517896057E+02 -0.36089209363E+02  0.56559822684E+02  0.76870261473E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.40964240110E+02  0.80740574868E+02  0.30913302918E+03  0.32211851721E+03  0.00000000000E+00 0.  1.
       -2    1    1    2    0  502  0.15130710954E+02  0.61577134204E+01 -0.19596928409E+02  0.25512652775E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13598693208E+04  0.13598693208E+04  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.22000656832E+02  0.22000656832E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.58886946012E+02 -0.12760003990E+02  0.11573669587E+03  0.15538453656E+03  0.84373463355E+02 0.  0.
       11    1    3    3    0    0  0.14242642488E+02 -0.25727474932E+02  0.32388191826E+02  0.43746437583E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.73129588500E+02  0.12967470943E+02  0.83348504041E+02  0.11163809897E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  503  0.33676466131E+02  0.12297108320E+02  0.15645016195E+03  0.16050537816E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.25210479881E+02  0.46289566946E+00  0.10656818061E+04  0.10659800629E+04  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.16881051686E+02  0.16881051686E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.46055898044E+03  0.46055898044E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.48623680038E+02  0.29861564143E+02 -0.23404544416E+03  0.25436555837E+03  0.81661447950E+02 0.  0.
      -11    1    3    3    0    0  0.55775478040E+02  0.16892564787E+02 -0.23224627861E+03  0.23944643790E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.71517980027E+01  0.12968999356E+02 -0.17991655491E+01  0.14919120471E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.17202375470E+02  0.69326074123E+01 -0.19621321086E+02  0.26999611266E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.31421304568E+02 -0.36794171555E+02 -0.19001116351E+03  0.19607486249E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.59096987548E+01  0.59096987548E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.11386332872E+04  0.11386332872E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.60951970962E+01 -0.47862980917E+02 -0.45635027885E+03  0.46560302756E+03  0.78756497511E+02 0.  0.
      -11    1    3    3    0    0  0.15249904564E+02  0.19103784432E+02 -0.13928359828E+03  0.14141228701E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.91547074681E+01 -0.66966765349E+02 -0.31706668057E+03  0.32419074055E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.16945906918E+02  0.12876044908E+02 -0.18973318296E+03  0.19092311806E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.10850709822E+02  0.34986936009E+02 -0.48664012669E+03  0.48801684038E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19281653721E+03  0.19281653721E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.41387275339E+02  0.41387275339E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.36890977796E+02 -0.16563083384E+01  0.88604335546E+02  0.12468975840E+03  0.79580902060E+02 0.  0.
       11    1    3    3    0    0  0.77019405689E+01 -0.21846701823E+02  0.67534809644E+02  0.71397120269E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.44592918365E+02  0.20190393485E+02  0.21069525902E+02  0.53292638133E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.13368076576E+02  0.73276209673E+01 -0.18900236199E+02  0.24282059813E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.23522901220E+02 -0.56713126289E+01  0.81725162528E+02  0.85231994339E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13580845194E+04  0.13580845194E+04  0.00000000000E+00 0. -1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.73778522310E+02  0.73778522310E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.12543847336E+03  0.92645482270E+02  0.11081871818E+04  0.11222294491E+04  0.83678615494E+02 0.  0.
      -11    1    3    3    0    0  0.26466698807E+02  0.60480838946E+02  0.28819268656E+03  0.29565764426E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.98971774550E+02  0.32164643324E+02  0.81999449522E+03  0.82657180489E+03  0.00000000000E+00 0. -1.
        4    1    1    2  501    0 -0.27536828171E+02  0.45356880452E+02 -0.14246705380E+02  0.54940805639E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.97901645186E+02 -0.13800236272E+03  0.19036552072E+03  0.25469278695E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.45962358852E+03  0.45962358852E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.30332798781E+02  0.30332798781E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.44047378733E+02  0.37604967813E+02  0.15637247688E+03  0.18316782280E+03  0.75787826250E+02 0.  0.
      -11    1    3    3    0    0  0.40122493235E+01 -0.15938653951E+02  0.79981243949E+02  0.81652545692E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40035129409E+02  0.53543621763E+02  0.76391232931E+02  0.10151527711E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.67068304353E+01 -0.33607301251E+02  0.56721702533E+01  0.34736231621E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.50754209168E+02 -0.39976665621E+01  0.26724614261E+03  0.27205233288E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21972298890E+03  0.21972298890E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.11577927212E+03  0.11577927212E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.67562681511E+02 -0.11113205866E+03  0.11736299426E+03  0.19309317405E+03  0.81214844982E+02 0.  0.
       11    1    3    3    0    0 -0.33282250943E+02 -0.10056213328E+03  0.11615210840E+03  0.15719975561E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.34280430568E+02 -0.10569925385E+02  0.12108858611E+01  0.35893418438E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.66170440426E+02  0.70654029065E+02 -0.25573886802E+02  0.10012263828E+03  0.00000000000E+00 0. -1.
        4    1    1    2  501    0  0.13922410847E+01  0.40478029596E+02  0.12154609322E+02  0.42286448692E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.61096526349E+03  0.61096526349E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.52018604903E+02  0.52018604903E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.41667355410E+01  0.34453979105E+02  0.58336964154E+03  0.58987350981E+03  0.80163461370E+02 0.  0.
      -11    1    3    3    0    0  0.30028552594E+02  0.14962836018E+02  0.11340897543E+03  0.11826747710E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34195288135E+02  0.19491143087E+02  0.46996066611E+03  0.47160603270E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.22655368495E+02 -0.17946098071E+02 -0.29396841726E+02  0.41225022269E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.26822104036E+02 -0.16507881034E+02  0.49738587771E+01  0.31885336321E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.88242090957E+03  0.88242090957E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.11702210851E+03  0.11702210851E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.46475194766E+02  0.21847926455E+02 -0.65949638410E+02  0.11679503610E+03  0.81574812488E+02 0.  0.
       11    1    3    3    0    0  0.53171726041E+02  0.43039518287E+02 -0.65284590359E+02  0.94560617188E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.66965312755E+01 -0.21191591832E+02 -0.66504805114E+00  0.22234418913E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.35981764538E+01 -0.68389219277E+02  0.80726897001E+03  0.81016863808E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.50073371220E+02  0.46541292823E+02  0.24079469457E+02  0.72479343901E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12680531659E+03  0.12680531659E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.33331110854E+03  0.33331110854E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.59283004653E+01 -0.18386808591E+02  0.81195657166E+02  0.11500686273E+03  0.79124106663E+02 0.  0.
      -11    1    3    3    0    0 -0.19361796133E+02  0.25619222265E+02  0.49977029422E+02  0.59404773956E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13433495667E+02 -0.44006030856E+02  0.31218627744E+02  0.55602088771E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.16333499788E+02 -0.23263401036E+02 -0.29929470604E+03  0.30064146438E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.10405199323E+02  0.41650209627E+02  0.11593256928E+02  0.44468098016E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.29466131224E+02  0.29466131224E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.27765025547E+03  0.27765025547E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.18890216352E+02  0.43866430542E+02 -0.84529652570E+02  0.12755098610E+03  0.82721749796E+02 0.  0.
       11    1    3    3    0    0  0.22173797507E+02 -0.10468479066E+01 -0.56197607287E+02  0.60423044041E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.41064013859E+02  0.44913278449E+02 -0.28332045283E+02  0.67127942060E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.51759465472E+00 -0.30170427382E+02 -0.25451149157E+02  0.39475100837E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  503  0.18372621697E+02 -0.13696003160E+02 -0.13820332252E+03  0.14009029976E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19089710973E+02  0.19089710973E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.11328555736E+04  0.11328555736E+04  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.55523341039E+02 -0.16536400074E+02 -0.19769361382E+03  0.21985331178E+03  0.76788148995E+02 0.  0.
      -11    1    3    3    0    0 -0.21452203020E+02 -0.82556045791E+01 -0.43974664185E+01  0.23402771893E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34071138019E+02 -0.82807954954E+01 -0.19329614740E+03  0.19645053988E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.20485343057E+02 -0.17655154708E+02 -0.84698957024E+03  0.84742119743E+03  0.00000000000E+00 0.  1.
       -2    1    1    2    0  502  0.35037997982E+02  0.34191554782E+02 -0.69082678524E+02  0.84670775319E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.39432226658E+03  0.39432226658E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.19803271848E+03  0.19803271848E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.35054474483E+01  0.12305891492E+02  0.38573777146E+03  0.39426409348E+03  0.80540821645E+02 0.  0.
      -11    1    3    3    0    0  0.36168203962E+02  0.19163116271E+02  0.17600002776E+03  0.18069691136E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39673651410E+02 -0.68572247792E+01  0.20973774370E+03  0.21356718212E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.23050681833E+01  0.17678064015E+02 -0.13274611812E+03  0.13393789293E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.12003792650E+01 -0.29983955507E+02 -0.56702105232E+02  0.64152998651E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20124972012E+03  0.20124972012E+03  0.00000000000E+00 0. -1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14356025918E+03  0.14356025918E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.96571871215E+00 -0.25632529617E+02  0.18513925414E+03  0.20382978629E+03  0.81314692201E+02 0.  0.
      -11    1    3    3    0    0  0.17281228235E+02 -0.24763674997E+02  0.16906123740E+02  0.34607766015E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.18246946947E+02 -0.86885462004E+00  0.16823313040E+03  0.16922202027E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14707625780E+02  0.21971582286E+02 -0.22249656989E+02  0.34555924534E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.15673344492E+02  0.36609473307E+01 -0.10520013621E+03  0.10642426848E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.23770807859E+03  0.23770807859E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.43606055044E+02  0.43606055044E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.43239138556E+02 -0.40009186472E+02  0.15342754514E+03  0.18325490058E+03  0.81067804164E+02 0.  0.
      -11    1    3    3    0    0 -0.23039074748E+02 -0.14909427563E+02  0.28104939574E+02  0.39280753862E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.66278213304E+02 -0.25099758909E+02  0.12532260557E+03  0.14397414671E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.27416241392E+01 -0.14708779394E+02 -0.53462754919E+01  0.15888592002E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.40497514417E+02  0.54717965866E+02  0.46020753901E+02  0.82170641059E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10043846583E+03  0.10043846583E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.43144671175E+02  0.43144671175E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.36241876715E+01 -0.92011867029E+01  0.69247930618E+02  0.10213612053E+03  0.74422541275E+02 0.  0.
      -11    1    3    3    0    0  0.19457059731E+02 -0.69175054078E+01  0.80156660191E+02  0.82773904266E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15832872060E+02 -0.22836812951E+01 -0.10908729573E+02  0.19362216268E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  503  0.80946411148E+01 -0.12565369904E+02 -0.51106597336E+01  0.15796536915E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.11718828786E+02  0.21766556607E+02 -0.68434762276E+01  0.25650479557E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.11279796256E+04  0.11279796256E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.39657007279E+01  0.39657007279E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.87750717067E+01  0.24905225718E+01  0.66257860548E+03  0.66756738184E+03  0.80948108456E+02 0.  0.
      -11    1    3    3    0    0 -0.12044976338E+02  0.24019186056E+02  0.76453132411E+02  0.81037548145E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32699046316E+01 -0.21528663484E+02  0.58612547307E+03  0.58652983369E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.58650405256E+01  0.14043654559E+02  0.40978874789E+03  0.41007126311E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.29100311811E+01 -0.16534177131E+02  0.51646571533E+02  0.54306681412E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.90052575509E+02  0.90052575509E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.38886870249E+03  0.38886870249E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.27572939042E+01 -0.17065119991E+01 -0.20531751634E+03  0.22016539160E+03  0.79416637338E+02 0.  0.
      -11    1    3    3    0    0  0.20248468769E+02 -0.16839747029E+02 -0.20677796985E+02  0.33483560976E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.23005762673E+02  0.15133235030E+02 -0.18463971936E+03  0.18668183062E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.41478257330E+01  0.16040584426E+02 -0.17496633808E+03  0.17574903774E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.69051196373E+01 -0.14334072427E+02  0.81467727442E+02  0.83006848658E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.25608598792E+02  0.25608598792E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.52893675519E+03  0.52893675519E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.25965149141E+01 -0.51304895522E+02 -0.28875324701E+03  0.30458702074E+03  0.82194168591E+02 0.  0.
      -11    1    3    3    0    0 -0.41975589476E+00 -0.57077585734E+02 -0.95658825360E+02  0.11139406563E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21767590193E+01  0.57726902120E+01 -0.19309442165E+03  0.19319295511E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.10220949671E+02  0.14338136398E+02  0.11319141282E+02  0.20932580512E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.76244347571E+01  0.36966759124E+02 -0.22589405067E+03  0.22902575273E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.17421939101E+03  0.17421939101E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.55564432510E+02  0.55564432510E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.89581661288E+01  0.38250551286E+02  0.12601369977E+03  0.15424289220E+03  0.79800149430E+02 0.  0.
       11    1    3    3    0    0  0.22681426410E+01  0.62298761261E+02  0.91079134526E+02  0.11037068846E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.11226308770E+02 -0.24048209975E+02  0.34934565244E+02  0.43872203733E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501 -0.22377088463E+02  0.22999564510E+01  0.44981267601E+01  0.22940292764E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.31335254592E+02 -0.40550507737E+02 -0.11856868025E+02  0.52600638565E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.21307514117E+03  0.21307514117E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.13359330723E+03  0.13359330723E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.74799206852E+02  0.97090086191E+01  0.71104255880E+02  0.12850068201E+03  0.75943557190E+02 0.  0.
      -11    1    3    3    0    0  0.24308208747E+02 -0.11149229607E+02  0.68808444763E+02  0.73822736363E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.50490998104E+02  0.20858238226E+02  0.22958111170E+01  0.54677945647E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.16302575810E+02  0.22676705736E+02  0.88371136875E+02  0.92679365523E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.91101782662E+02 -0.32385714355E+02 -0.79993558815E+02  0.12548840086E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11846927047E+03  0.11846927047E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.13397251044E+03  0.13397251044E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.52870335213E+00  0.73027466752E+00  0.94357647908E+02  0.12686344609E+03  0.84794784074E+02 0.  0.
      -11    1    3    3    0    0  0.18460258114E+02  0.42298749960E+01  0.10433965623E+03  0.10604450402E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17931554762E+02 -0.34996003285E+01 -0.99820083181E+01  0.20818942065E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.14728511550E+02  0.81374428953E+01 -0.10623910369E+03  0.10756344259E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503 -0.15257214902E+02 -0.88677175629E+01 -0.36217841814E+01  0.18014892228E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.16961216833E+03  0.16961216833E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.50372604952E+02  0.50372604952E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.21137002492E+02  0.32818590996E+02  0.12061907936E+03  0.15011160684E+03  0.80378476057E+02 0.  0.
      -11    1    3    3    0    0  0.11232519361E+02  0.40823076110E+02  0.16859395921E+02  0.45573372325E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.99044831309E+01 -0.80044851145E+01  0.10375968344E+03  0.10453823452E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.87678638983E+01 -0.13162830096E+02  0.28160094340E+02  0.32297468116E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503 -0.12369138593E+02 -0.19655760900E+02 -0.29539610326E+02  0.37575698321E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23398131727E+03  0.23398131727E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.11506519696E+03  0.11506519696E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.87123172147E+02  0.24648830674E+02  0.17360143424E+03  0.21260696670E+03  0.82862852607E+02 0.  0.
      -11    1    3    3    0    0  0.10215384631E+03  0.11885500748E+02  0.14967843937E+03  0.18160481452E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15030674163E+02  0.12763329926E+02  0.23922994867E+02  0.31002152183E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.64658967843E+02 -0.41656371580E+02 -0.70320375559E+02  0.10421607666E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.22464204304E+02  0.17007540906E+02  0.15635061628E+02  0.32223470868E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20565319444E+03  0.20565319444E+03  0.00000000000E+00 0. -1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.60054987502E+03  0.60054987502E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.19100262692E+02  0.45169843077E+02 -0.55295026021E+03  0.56085378431E+03  0.79986513494E+02 0.  0.
      -11    1    3    3    0    0  0.19020571531E+02 -0.10120259079E+02 -0.69549846995E+02  0.72810596772E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.38120834223E+02  0.55290102156E+02 -0.48340041322E+03  0.48804318753E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.62342774991E+02 -0.62976450357E+02  0.13011619540E+03  0.15742578949E+03  0.00000000000E+00 0. -1.
        3    1    1    2  502    0  0.81443037683E+02  0.17806607281E+02  0.27937384236E+02  0.87923495653E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.66434162935E+03  0.66434162935E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.53327223675E+02  0.53327223675E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.75280083885E+02 -0.69920614142E+02  0.36379416442E+03  0.38669678920E+03  0.81438500745E+02 0.  0.
      -11    1    3    3    0    0  0.16107192368E+02 -0.55588371205E+02  0.96229936696E+02  0.11229296227E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.59172891518E+02 -0.14332242937E+02  0.26756422772E+03  0.27440382693E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.13911901935E+03  0.41170002258E+02  0.19766495341E+03  0.24519482955E+03  0.00000000000E+00 0.  1.
        1    1    1    2  502    0  0.63838935469E+02  0.28750611884E+02  0.49555287845E+02  0.85777234269E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.16836530578E+03  0.16836530578E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.44724757571E+02  0.44724757571E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.24763598751E+02  0.32397290936E+02  0.50801413964E+02  0.10350200920E+03  0.80430479073E+02 0.  0.
      -11    1    3    3    0    0  0.92137568462E+01 -0.99785608209E+01 -0.13622845094E+02  0.19236603123E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33977355598E+02  0.42375851757E+02  0.64424259058E+02  0.84265406073E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.99881893294E+01 -0.34307543789E+02  0.64597253242E+02  0.73821247709E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.34751788081E+02  0.19102528536E+01  0.82418810008E+01  0.35766806444E+02  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.12759850977E+04  0.12759850977E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11279701520E+02  0.11279701520E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.62762150750E+02  0.12487589981E+01  0.50891091542E+03  0.51917059738E+03  0.81284330488E+02 0.  0.
       11    1    3    3    0    0 -0.80078648392E+01  0.25754570529E+02  0.31597487205E+03  0.31712386156E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.54754285911E+02 -0.24505811531E+02  0.19293604337E+03  0.20204673582E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.94192972271E+01 -0.24959616167E+02  0.38805919356E+02  0.47091453328E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.72181447977E+02  0.23710857169E+02  0.71698856144E+03  0.72100274855E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.50237681062E+01  0.50237681062E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.11469763293E+04  0.11469763293E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.22751722549E+02 -0.87326738860E+01 -0.97226905011E+03  0.97577852055E+03  0.79010852972E+02 0.  0.
      -11    1    3    3    0    0  0.32203943530E+02 -0.94758619228E+00 -0.15012040846E+03  0.15353868872E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.94522209812E+01 -0.77850876937E+01 -0.82214864165E+03  0.82223983183E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.79772663602E+01  0.16375240749E+02 -0.26987624555E+02  0.32559440525E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.14774456189E+02 -0.76425668630E+01 -0.14269588656E+03  0.14366213637E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.99481392044E+02  0.99481392044E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.49274381129E+03  0.49274381129E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.11319955211E+02 -0.33811143630E+01  0.77039974927E+02  0.11136522720E+03  0.79545476123E+02 0.  0.
       11    1    3    3    0    0  0.33089552082E+01  0.36122145786E+02  0.53653671620E+02  0.64764767266E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.80110000029E+01 -0.39503260149E+02  0.23386303307E+02  0.46600459931E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.33871116139E+02  0.80964731378E+01 -0.35835529721E+03  0.36004350351E+03  0.00000000000E+00 0. -1.
        2    1    1    2  501    0 -0.45191071350E+02 -0.47153587748E+01 -0.11194709696E+03  0.12081647262E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.95193887310E+02  0.95193887310E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  503  0.00000000000E+00  0.00000000000E+00 -0.34011147562E+03  0.34011147562E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.12206595220E+01  0.24065624133E+02  0.45349169449E+01  0.85636108419E+02  0.82050797186E+02 0.  0.
      -11    1    3    3    0    0  0.14065359298E+02  0.29294371392E+02  0.37078418167E+02  0.49303180639E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15286018820E+02 -0.52287472583E+01 -0.32543501222E+02  0.36332927780E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.39642947156E+02 -0.34356079772E+02 -0.28891474014E+03  0.29363860534E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.38422287634E+02  0.10290455639E+02  0.39462234885E+02  0.56030649169E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.29099764215E+02  0.29099764215E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12400749321E+03  0.12400749321E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.45252701372E+01 -0.26819865920E+01 -0.80113019195E+02  0.11281237678E+03  0.79251910939E+02 0.  0.
      -11    1    3    3    0    0  0.94461547919E+01  0.55463576759E+01 -0.92036376215E+02  0.92685956167E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13971424929E+02 -0.82283442679E+01  0.11923357019E+02  0.20126420609E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.14585003996E+02 -0.68538685321E+01 -0.59477780278E+01  0.17177715765E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.19110274134E+02  0.95358551241E+01 -0.88469317704E+01  0.23117164882E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.69122870780E+03  0.69122870780E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  503  0.00000000000E+00  0.00000000000E+00 -0.59022374203E+02  0.59022374203E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.13534010482E+02 -0.47577199304E+02  0.11985131376E+03  0.15337194301E+03  0.81925918723E+02 0.  0.
       11    1    3    3    0    0  0.34582004610E+02 -0.40959783977E+01  0.90202991081E+02  0.96691631912E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.21047994128E+02 -0.43481220906E+02  0.29648322682E+02  0.56680311098E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.16473080154E+02  0.22362646609E+02 -0.37373815780E+02  0.46564497625E+02  0.00000000000E+00 0. -1.
       -1    1    1    2    0  502  0.29390696718E+01  0.25214552695E+02  0.54972883562E+03  0.55031464137E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.89880127361E+01  0.89880127361E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.81852854727E+03  0.81852854727E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.57211869622E+02  0.20109994950E+02 -0.43340382629E+03  0.44498656164E+03  0.80601200219E+02 0.  0.
      -11    1    3    3    0    0 -0.40209121780E+02 -0.11188329188E+02 -0.84257137291E+02  0.94027747866E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17002747842E+02  0.31298324137E+02 -0.34914668900E+03  0.35095881378E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.29212608787E+02 -0.21470171801E+02 -0.13550493555E+03  0.14027092481E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.27999260834E+02  0.13601768510E+01 -0.24063177269E+03  0.24225907355E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.80026446453E+02  0.80026446453E+02  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12468571266E+03  0.12468571266E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.62993578287E+02 -0.26324223404E+02 -0.60330262670E+02  0.12200839464E+03  0.81148950237E+02 0.  0.
      -11    1    3    3    0    0 -0.66180072710E+02  0.12262715121E+02 -0.39538152036E+02  0.78060500078E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.31864944228E+01 -0.38586938525E+02 -0.20792110633E+02  0.43947894557E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.14840952533E+02 -0.25980292625E+01  0.21475667087E+02  0.26233716949E+02  0.00000000000E+00 0.  1.
       -4    1    1    2    0  502  0.48152625754E+02  0.28922252666E+02 -0.58046706202E+01  0.56470047524E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.94721887164E+03  0.94721887164E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.36181641885E+02  0.36181641885E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.85695301235E+02 -0.58205970787E+02  0.82160032498E+03  0.83218280920E+03  0.82277057704E+02 0.  0.
      -11    1    3    3    0    0  0.17061777586E+02  0.80228674031E+01  0.34420340941E+02  0.39245770808E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.68633523649E+02 -0.66228838190E+02  0.78717998404E+03  0.79293703839E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.19637543688E+01  0.21419968876E+02  0.44264806760E+02  0.49214271461E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.83731546866E+02  0.36786001911E+02  0.45172098007E+02  0.10200343286E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20614603106E+03  0.20614603106E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.50543405034E+03  0.50543405034E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.46715187707E+02  0.99336339617E+01 -0.10330606390E+03  0.13944730484E+03  0.80575567902E+02 0.  0.
      -11    1    3    3    0    0  0.48509071193E+02  0.10404390407E+02 -0.16010051695E+02  0.52131593904E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17938834855E+01 -0.47075644546E+00 -0.87296012204E+02  0.87315710936E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.18816624531E+02 -0.42749159464E+02  0.18393981140E+03  0.18977726474E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.27898563176E+02  0.32815525502E+02 -0.37992176678E+03  0.38235551181E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.72601686004E+02  0.72601686004E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.69435790244E+02  0.69435790244E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.19139911799E+02  0.16392448404E+02 -0.53707337305E+01  0.84190279326E+02  0.80150544377E+02 0.  0.
       11    1    3    3    0    0 -0.36196850293E+02 -0.20534546691E+02  0.57754374636E+01  0.42014702865E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.17056938494E+02  0.36926995095E+02 -0.11146171194E+02  0.42175576461E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.83461093693E+01 -0.26479577614E+02  0.19180785766E+01  0.27829922703E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.27486021168E+02  0.10087129210E+02  0.66185509143E+01  0.30017274219E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.90549091613E+02  0.90549091613E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.70235768865E+02  0.70235768865E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.20253378478E+02 -0.37754851749E+01 -0.48531403560E+01  0.83460040379E+02  0.80731479242E+02 0.  0.
       11    1    3    3    0    0 -0.12318338675E+02  0.96321989816E+01  0.30048435424E+02  0.33873724276E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.32571717153E+02 -0.13407684156E+02 -0.34901575780E+02  0.49586316102E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.36455787735E+02 -0.16214067974E+02  0.31489239113E+02  0.50828069406E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.16202409257E+02  0.19989553149E+02 -0.63227760094E+01  0.26496750693E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.25874512461E+02  0.25874512461E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.53201440449E+03  0.53201440449E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.13487958180E+02  0.37116424970E+02 -0.30858058390E+03  0.32091903845E+03  0.78787679616E+02 0.  0.
      -11    1    3    3    0    0  0.99258099969E+00 -0.18835718583E+02 -0.16602634593E+03  0.16709433579E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.14480539180E+02  0.55952143553E+02 -0.14255423797E+03  0.15382470265E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.31259227361E+02 -0.11462942382E+02  0.35227234203E+01  0.33480560383E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.17771269181E+02 -0.25653482587E+02 -0.20108203156E+03  0.20348931813E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.69640082154E+02  0.69640082154E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.31432360015E+03  0.31432360015E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.45205205293E+02  0.86012803180E+02 -0.15471743251E+03  0.19953406848E+03  0.80216255617E+02 0.  0.
       11    1    3    3    0    0 -0.23631828857E+02  0.98127546732E+02 -0.12972881019E+03  0.16436861914E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.21573376436E+02 -0.12114743552E+02 -0.24988622313E+02  0.35165449340E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  501  0.20428661239E+02 -0.21773119407E+02  0.32377729212E+02  0.44042210181E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.24776544054E+02 -0.64239683774E+02 -0.12234381470E+03  0.14038740364E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.36547575126E+02  0.36547575126E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.34142982586E+03  0.34142982586E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.45305505960E+02  0.49697536108E+01 -0.59260551068E+02  0.11060460889E+03  0.81512448575E+02 0.  0.
      -11    1    3    3    0    0 -0.45389674638E+02  0.13826199967E+02  0.31646901279E+01  0.47554196796E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.84168677304E-01 -0.88564463566E+01 -0.62425241196E+02  0.63050412091E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.44002193793E+01  0.35197954612E+02 -0.16296254465E+03  0.16677844254E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.40905286581E+02 -0.40167708223E+02 -0.82659155022E+02  0.10059434956E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.14377761748E+04  0.14377761748E+04  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10140709492E+03  0.10140709492E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.17647292273E+02  0.32807947986E+02  0.13301733933E+04  0.13330952657E+04  0.79962133510E+02 0.  0.
      -11    1    3    3    0    0 -0.14545248143E+02  0.10460894171E+02  0.68216277549E+02  0.70529816908E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32192540416E+02  0.22347053815E+02  0.12619571158E+04  0.12625654488E+04  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.52337742774E+01 -0.32492083025E+02 -0.95936031497E+02  0.10142410952E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.22881066550E+02 -0.31586496075E+00  0.10213171809E+03  0.10466389453E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.10816381523E+03  0.10816381523E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.88355246492E+03  0.88355246492E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.57264212808E+02 -0.16474141612E+01 -0.82141891843E+03  0.82744405772E+03  0.81564238835E+02 0.  0.
      -11    1    3    3    0    0 -0.34483488355E+02 -0.34677614238E+02 -0.62832695294E+03  0.63022726670E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22780724453E+02  0.33030200076E+02 -0.19309196549E+03  0.19721679102E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.82672705394E+00 -0.24654029110E+02  0.85695066557E+02  0.89174823023E+02  0.00000000000E+00 0.  1.
       -2    1    1    2    0  502  0.58090939862E+02  0.26301443271E+02 -0.39664797813E+02  0.75097399407E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10723494246E+03  0.10723494246E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.49230577920E+03  0.49230577920E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.35226574237E+01 -0.10420606541E+02 -0.29890530020E+03  0.31039508737E+03  0.82944159668E+02 0.  0.
      -11    1    3    3    0    0  0.11746048925E+02  0.13307509223E+01 -0.69663781200E+00  0.11841700368E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.82233915016E+01 -0.11751357463E+02 -0.29820866238E+03  0.29855338700E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.23400113034E+02 -0.41792371358E+01  0.98821652182E+02  0.10164029837E+03  0.00000000000E+00 0.  1.
        1    1    1    2  502    0 -0.26922770458E+02  0.14599843677E+02 -0.18498718873E+03  0.18750533592E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.63109757429E+02  0.63109757429E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.34364146381E+03  0.34364146381E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.59773961499E+02 -0.82117317582E+02 -0.99581852576E+02  0.16568048180E+03  0.84954672419E+02 0.  0.
      -11    1    3    3    0    0 -0.35747502470E+02 -0.83457238030E+02 -0.35947990329E+02  0.97648617610E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24026459029E+02  0.13399204476E+01 -0.63633862247E+02  0.68031864187E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.63867524730E+02 -0.10301903765E+02 -0.55747084457E+02  0.85398637939E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.40935632311E+01  0.92419221347E+02 -0.12520276935E+03  0.15567210150E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.37546700240E+02  0.37546700240E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13009074934E+04  0.13009074934E+04  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.25464111217E+00  0.56653613534E+01 -0.11218480787E+04  0.11251948278E+04  0.86533968585E+02 0.  0.
       11    1    3    3    0    0 -0.36715468382E+02 -0.12830169209E+02 -0.33284950852E+03  0.33511406145E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.36970109494E+02  0.18495530563E+02 -0.78899857019E+03  0.79008076638E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.17101039746E+02  0.14992377363E+02  0.31140272128E+02  0.38560776543E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.16846398634E+02 -0.20657738716E+02 -0.17265298661E+03  0.17469858929E+03  0.00000000000E+00 0. -1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.45367189678E+02  0.45367189678E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13003926747E+03  0.13003926747E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.31644330690E+02 -0.86387267955E+01 -0.62936171877E+02  0.10794166509E+03  0.81329269435E+02 0.  0.
       11    1    3    3    0    0 -0.42864067631E+02 -0.55787472640E+01 -0.77840499250E+02  0.89037037453E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.11219736940E+02 -0.30599795314E+01  0.14904327373E+02  0.18904627639E+02  0.00000000000E+00 0.  1.
        1    1    1    2  502    0  0.20827902542E+01  0.16898171413E+02  0.12770099773E+02  0.21282895962E+02  0.00000000000E+00 0. -1.
       -3    1    1    2    0  502  0.29561540436E+02 -0.82594446171E+01 -0.34506005692E+02  0.46181896097E+02  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14192855094E+04  0.14192855094E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.81069705418E+01  0.81069705418E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.68734084011E+02  0.39985264118E+01  0.93767500337E+03  0.94366026969E+03  0.80746084310E+02 0.  0.
      -11    1    3    3    0    0 -0.15832673173E+02 -0.36159636249E+02  0.37964655623E+03  0.38169320205E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.52901410839E+02  0.40158162661E+02  0.55802844713E+03  0.56196706764E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  501  0.33702224170E+01 -0.14707392060E+02  0.18223141810E+02  0.23659008385E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.65363861594E+02  0.10708865648E+02  0.45528039366E+03  0.46007320184E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.42506730493E+02  0.42506730493E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27093908121E+03  0.27093908121E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.63085852047E+01  0.87614282544E+00  0.33350008075E+01  0.79436751798E+02  0.79110741573E+02 0.  0.
      -11    1    3    3    0    0 -0.28216013014E+02  0.31440551022E+01  0.25653421652E+02  0.38263906169E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.34524598218E+02 -0.22679122768E+01 -0.22318420844E+02  0.41172845629E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.98245732028E+01  0.13580205077E+02 -0.14622888093E+03  0.14718637786E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.35159879980E+01 -0.14456347902E+02 -0.85538470594E+02  0.86822682047E+02  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.31209935089E+03  0.31209935089E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.64731675555E+02  0.64731675555E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.82603234821E+01 -0.21566495252E+02 -0.19912579425E+02  0.85993718047E+02  0.80405609647E+02 0.  0.
       11    1    3    3    0    0 -0.19615039209E+01 -0.51040937581E+02 -0.19841606334E+02  0.54797026824E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.10221827403E+02  0.29474442330E+02 -0.70973090620E-01  0.31196691223E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.25929593166E+02  0.31591442273E+01  0.41214966188E+01  0.26444483893E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.17669269683E+02  0.18407351024E+02  0.26315875814E+03  0.26439282450E+03  0.00000000000E+00 0.  1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.50884729178E+03  0.50884729178E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.60407297527E+02  0.60407297527E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.84270089179E+02  0.70335569435E+02  0.90199180317E+02  0.16685226167E+03  0.87494256021E+02 0.  0.
      -11    1    3    3    0    0  0.38737916858E+01 -0.15342041797E+02  0.29083815365E+01  0.16088604405E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.88143880865E+02  0.85677611232E+02  0.87290798781E+02  0.15076365727E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.26556730601E+02  0.73053965220E+00  0.28204382491E+03  0.28329227451E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.57713358577E+02 -0.71066109087E+02  0.76196989029E+02  0.11911005313E+03  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.92160748591E+02  0.92160748591E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21155198301E+03  0.21155198301E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.24718740620E+00  0.50963083568E+01  0.68941444839E+02  0.10542907244E+03  0.79601086916E+02 0.  0.
      -11    1    3    3    0    0 -0.91693900689E+00 -0.22182033487E+02  0.74365437818E+02  0.77608644678E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.66975160069E+00  0.27278341844E+02 -0.54239929792E+01  0.27820427761E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.40772603490E+01  0.28178102478E+02 -0.86278549001E+02  0.90854925727E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.43244477552E+01 -0.33274410835E+02 -0.10205413026E+03  0.10742873343E+03  0.00000000000E+00 0.  1.


 7   2  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.58616033618E+03  0.58616033618E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.51595030067E+02  0.51595030067E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.22292492433E+02 -0.23169962177E+02  0.50315992176E+03  0.51021130174E+03  0.78178406163E+02 0.  0.
       11    1    3    3    0    0  0.44470225020E+02  0.76580636196E+00  0.38725203633E+03  0.38979780274E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22177732587E+02 -0.23935768539E+02  0.11590788543E+03  0.12041349901E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.24373451381E+02  0.37310388170E+02 -0.36837930244E+02  0.57820094278E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.20809589480E+01 -0.14140425994E+02  0.68243314598E+02  0.69723970231E+02  0.00000000000E+00 0. -1.


 7   1  0.9172800E+00  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00  0.49158992299E+03  0.49158992299E+03  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.16703241774E+02  0.16703241774E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.20294276318E+02  0.25375071763E+02  0.13909773408E+03  0.16056069749E+03  0.73319888409E+02 0.  0.
      -11    1    3    3    0    0 -0.34022280399E+02 -0.14905381603E+02  0.73791569094E+02  0.82612841820E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13728004081E+02  0.40280453366E+02  0.65306164982E+02  0.77947855673E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  501 -0.16100912394E+02 -0.16403028831E+02  0.22348683218E+02  0.32058733230E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.36395188712E+02 -0.89720429320E+01  0.31344026392E+03  0.31567373404E+03  0.00000000000E+00 0.  1.

      
pythia8-8.1.86.orig/examples/main12.cc0000644000175000017500000000674412357054676015605 0ustar  sunsun// main12.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how Les Houches Event File input can be used in PYTHIA.
// It uses two LHE files, ttbar.lhe and ttbar2.lhe, which are combined
// using Beams:newLHEFsameInit = on to skip new initialization second time.
// Then the second file is viewed as a simple continuation of the first,
// just split for practical reasons, rather than as a separate new run
// with a new set of processes.
// In the first file top decays have been performed, in the second not,
// and are instead handled by the internal PYTHIA resonance-decay machinery.
// Furthermore the internal top production processes are switched on and
// mixed in, giving an unrealistic "double up" total top cross section.
// Much of this of course is not intended to be realistic,
// but rather illustrates several tricks that can be useful.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
int main() {

  //  Number of listed events. Allow for possibility of a few faulty events.
  int nPrintLHA  = 1;
  int nPrintRest = 0;
  int nAbort     = 10;

  // Generator
  Pythia pythia;

  // Switch on internal ttbar production.
  pythia.readString("Top:gg2ttbar = on");
  pythia.readString("Top:qqbar2ttbar = on");

  // Use same top mass as in Pythia 6.4 to simplify comparison.
  pythia.readString("6:m0 = 175.");

  // No automatic event listings - do it manually below.
  pythia.readString("Next:numberShowLHA = 0");
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");

  // Initialize Les Houches Event File run.
  pythia.readString("Beams:frameType = 4");
  pythia.readString("Beams:LHEF = ttbar.lhe");
  pythia.init();

  // Book histogram.
  Hist nCharged("charged particle multiplicity",100,-0.5,399.5);

  // Set counters.
  int iPrintLHA  = 0;
  int iPrintRest = 0;
  int iAbort     = 0;
  int iFile      = 1;

  // Begin event loop
  for (int iEvent = 0; ; ++iEvent) {

    // Generate until none left in input file.
    if (!pythia.next()) {
      if (pythia.info.atEndOfFile()) {

        // First time open next file, second time stop event loop.
        if (iFile == 1) {
          pythia.readString("Beams:newLHEFsameInit = on");
          pythia.readString("Beams:LHEF = ttbar2.lhe");
          pythia.init();
          ++iFile;
          continue;
        } else break;
      }

      // First few failures write off as "acceptable" errors, then quit.
      if (++iAbort < nAbort) continue;
      break;
    }
  
    // List first few Les Houches and other events.
    if (pythia.info.isLHA() && iPrintLHA < nPrintLHA) {
      pythia.LHAeventList();
      pythia.info.list();
      pythia.process.list();
      pythia.event.list();
      ++iPrintLHA;
    } else if (!pythia.info.isLHA() && iPrintRest < nPrintRest) {
      pythia.info.list();
      pythia.process.list();
      pythia.event.list();
      ++iPrintRest;
    }

    // Sum up final charged multiplicity and fill in histogram.
    int nChg = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
    if (pythia.event[i].isFinal() && pythia.event[i].isCharged())
      ++nChg;
    nCharged.fill(nChg);

  // End of event loop.
  }

  // Give statistics. Print histogram.
  pythia.stat();
  cout << nCharged;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main06.cc0000644000175000017500000001142412357054675015576 0ustar  sunsun// main06.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It studies event properties of LEP1 events.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Generator.
  Pythia pythia;

  // Allow no substructure in e+- beams: normal for corrected LEP data.
  pythia.readString("PDF:lepton = off");
  // Process selection.
  pythia.readString("WeakSingleBoson:ffbar2gmZ = on");
  // Switch off all Z0 decays and then switch back on those to quarks.
  pythia.readString("23:onMode = off");
  pythia.readString("23:onIfAny = 1 2 3 4 5");

  // LEP1 initialization at Z0 mass.
  pythia.readString("Beams:idA =  11");
  pythia.readString("Beams:idB = -11");
  double mZ = pythia.particleData.m0(23);
  pythia.settings.parm("Beams:eCM", mZ);
  pythia.init();

  // Histograms.
  Hist nCharge("charged multiplicity", 100, -0.5, 99.5);
  Hist spheri("Sphericity", 100, 0., 1.);
  Hist linea("Linearity", 100, 0., 1.);
  Hist thrust("thrust", 100, 0.5, 1.);
  Hist oblateness("oblateness", 100, 0., 1.);
  Hist sAxis("cos(theta_Sphericity)", 100, -1., 1.);
  Hist lAxis("cos(theta_Linearity)", 100, -1., 1.);
  Hist tAxis("cos(theta_Thrust)", 100, -1., 1.);
  Hist nLund("Lund jet multiplicity", 40, -0.5, 39.5);
  Hist nJade("Jade jet multiplicity", 40, -0.5, 39.5);
  Hist nDurham("Durham jet multiplicity", 40, -0.5, 39.5);
  Hist eDifLund("Lund e_i - e_{i+1}", 100, -5.,45.);
  Hist eDifJade("Jade e_i - e_{i+1}", 100, -5.,45.);
  Hist eDifDurham("Durham e_i - e_{i+1}", 100, -5.,45.);

  // Set up Sphericity, "Linearity", Thrust and cluster jet analyses.
  Sphericity sph;
  Sphericity lin(1.);
  Thrust thr;
  ClusterJet lund("Lund");
  ClusterJet jade("Jade");
  ClusterJet durham("Durham");

  // Begin event loop. Generate event. Skip if error. List first few.
  for (int iEvent = 0; iEvent < 10000; ++iEvent) {
    if (!pythia.next()) continue;

    // Find and histogram charged multiplicity.
    int nCh = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
      if (pythia.event[i].isFinal() && pythia.event[i].isCharged()) ++nCh;
    nCharge.fill( nCh );

    // Find and histogram sphericity.
    if (sph.analyze( pythia.event )) {
      if (iEvent < 3) sph.list();
      spheri.fill( sph.sphericity() );
      sAxis.fill( sph.eventAxis(1).pz() );
      double e1 = sph.eigenValue(1);
      double e2 = sph.eigenValue(2);
      double e3 = sph.eigenValue(3);
      if (e2 > e1 || e3 > e2) cout << "eigenvalues out of order: "
      << e1 << "  " << e2 << "  " << e3 << endl;
    }

    // Find and histogram linearized sphericity.
    if (lin.analyze( pythia.event )) {
      if (iEvent < 3) lin.list();
      linea.fill( lin.sphericity() );
      lAxis.fill( lin.eventAxis(1).pz() );
      double e1 = lin.eigenValue(1);
      double e2 = lin.eigenValue(2);
      double e3 = lin.eigenValue(3);
      if (e2 > e1 || e3 > e2) cout << "eigenvalues out of order: "
      << e1 << "  " << e2 << "  " << e3 << endl;
    }

    // Find and histogram thrust.
    if (thr.analyze( pythia.event )) {
      if (iEvent < 3) thr.list();
      thrust.fill( thr.thrust() );
      oblateness.fill( thr.oblateness() );
      tAxis.fill( thr.eventAxis(1).pz() );
      if ( abs(thr.eventAxis(1).pAbs() - 1.) > 1e-8
        || abs(thr.eventAxis(2).pAbs() - 1.) > 1e-8
        || abs(thr.eventAxis(3).pAbs() - 1.) > 1e-8
        || abs(thr.eventAxis(1) * thr.eventAxis(2)) > 1e-8
        || abs(thr.eventAxis(1) * thr.eventAxis(3)) > 1e-8
        || abs(thr.eventAxis(2) * thr.eventAxis(3)) > 1e-8 ) {
        cout << " suspicious Thrust eigenvectors " << endl;
        thr.list();
      }
    }

    // Find and histogram cluster jets: Lund, Jade and Durham distance.
    if (lund.analyze( pythia.event, 0.01, 0.)) {
      if (iEvent < 3) lund.list();
      nLund.fill( lund.size() );
      for (int j = 0; j < lund.size() - 1; ++j)
        eDifLund.fill( lund.p(j).e() - lund.p(j+1).e() );
    }
    if (jade.analyze( pythia.event, 0.01, 0.)) {
      if (iEvent < 3) jade.list();
      nJade.fill( jade.size() );
      for (int j = 0; j < jade.size() - 1; ++j)
        eDifJade.fill( jade.p(j).e() - jade.p(j+1).e() );
    }
    if (durham.analyze( pythia.event, 0.01, 0.)) {
      if (iEvent < 3) durham.list();
      nDurham.fill( durham.size() );
      for (int j = 0; j < durham.size() - 1; ++j)
        eDifDurham.fill( durham.p(j).e() - durham.p(j+1).e() );
    }

  // End of event loop. Statistics. Output histograms.
  }
  pythia.stat();
  cout << nCharge << spheri << linea << thrust << oblateness
       << sAxis << lAxis << tAxis
       << nLund << nJade << nDurham
       << eDifLund << eDifJade << eDifDurham;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/photoninproton.lhe0000644000175000017500000000237612357054721017765 0ustar  sunsun


    2212   2212  7.000000E+03  7.000000E+03     0     0     20400     20400     -3     1
      5.441     0.213     1.000000E+00    10001


     6   10001    1              91.1876      0.0072973525679               0.1176
      3    -1     0     0   501     0                    0                    0        13.9260428506        13.9268506661                 0.15   0.   9.
     22    -1     0     0     0     0                    0                    0       -143.300093156        143.300093156                    0   0.   9.
      3     1     1     2   501     0       0.123089545501        0.57536030523        3.57351962704        3.62473903086                 0.15   0.   9.
     23     2     1     2     0     0      -0.123097411612      -0.575397073974       -132.949026139         153.60346533        76.9300641834   0.   9.
    -13     1     4     4     0     0         17.868156742        17.3756611276       -8.11961843096        26.2130500349       0.105658368999   0.   9.
     13     1     4     4     0     0       -17.9912541536       -17.9510582016       -124.829407708        127.390415295       0.105658369006   0.   9.


pythia8-8.1.86.orig/examples/main51.cc0000644000175000017500000001113512357054700015562 0ustar  sunsun// main51.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Test of LHAPDF interface and whether PDF's behave sensibly.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

//==========================================================================

// Integration to check momentum sum rule.

double integrate(PDF* nowPDF, double Q2) {

  // Number of points, x ranges and initial values.
  int    nLin  = 980;
  int    nLog  = 1000;
  double xLin  = 0.02;
  double xLog  = 1e-8;
  double dxLin = (1. - xLin) / nLin;
  double dxLog = log(xLin / xLog) / nLog;
  double sum   = 0.;
  double x, sumNow;
  
  // Integration at large x in linear steps.
  for (int iLin = 0; iLin < nLin; ++iLin) {
    x      = xLin + (iLin + 0.5) * dxLin;
    sumNow = nowPDF->xf( 21, x, Q2);
    for (int i = 1; i < 6; ++i)
      sumNow += nowPDF->xf( i, x, Q2) + nowPDF->xf( -i, x, Q2);
    sum   += dxLin * sumNow;
  }
  
  // Integration at small x in logarithmic steps.
  for (int iLog = 0; iLog < nLog; ++iLog) {
    x      = xLog * pow( xLin / xLog, (iLog + 0.5) / nLog );
    sumNow = nowPDF->xf( 21, x, Q2);
    for (int i = 1; i < 6; ++i)
      sumNow += nowPDF->xf( i, x, Q2) + nowPDF->xf( -i, x, Q2);
    sum   += dxLog * x * sumNow;
  }

  // Done.
  return sum;

}

//==========================================================================

int main() {
 
  // The Pythia class itself is not used, but some facilities that come along.
  //Pythia pythia;

  // Chosen new PDF set; LHAPDF file name conventions.
  //string pdfSet = "cteq5l.LHgrid";
  //string pdfSet = "cteq61.LHpdf";
  //string pdfSet = "cteq61.LHgrid";
  //string pdfSet = "MRST2004nlo.LHgrid";
  //string pdfSet = "MRST2001lo.LHgrid";
  string pdfSet = "MRST2007lomod.LHgrid";

  // Pointers to old default and new tryout PDF sets.
  PDF* oldPDF = new CTEQ5L(2212);
  PDF* newPDF = new LHAPDF(2212, pdfSet, 0);

  // Alternative: compare two Pomeron PDF's. Boost second by factor 2.
  //PDF* oldPDF = new PomFix( 990, -0.2, 2.5, 0., 3., 0.4, 0.5);
  //PDF* newPDF = new PomH1Jets( 990, 2.);
  //PDF* oldPDF = new PomH1FitAB( 990, 2);
  //PDF* newPDF = new PomH1FitAB( 990, 3);

  // Allow extrapolation of PDF's beyond x and Q2 boundaries, at own risk.
  // Default behaviour is to freeze PDF's at boundaries.
  newPDF->setExtrapolate(true);

  // Histogram F(x, Q2) = (9/4) x*g(x, Q2) + sum_{i = q, qbar} x*f_i(x, Q2)
  // for range 10^{-8} < x < 1 logarithmic in x and for Q2 = 4 and 100.
  Hist oldF4("F( x, Q2 = 4) old", 80 , -8., 0.);
  Hist newF4("F( x, Q2 = 4) new", 80 , -8., 0.);
  Hist ratF4("F( x, Q2 = 4) new/old", 80 , -8., 0.);
  Hist oldF100("F( x, Q2 = 100) old", 80 , -8., 0.);
  Hist newF100("F( x, Q2 = 100) new", 80 , -8., 0.);
  Hist ratF100("F( x, Q2 = 100) new/old", 80 , -8., 0.);

  // Loop over the two Q2 values.
  for (int iQ = 0; iQ < 2; ++iQ) {
    double Q2 = (iQ == 0) ? 4. : 100;
    
    // Loop over x values, in a logarithmic scale
    for (int iX = 0; iX < 80; ++iX) {
      double xLog = -(0.1 * iX + 0.05);
      double x = pow( 10., xLog);

      // Evaluate old summed PDF.
      double oldSum = 2.25 * oldPDF->xf( 21, x, Q2);
      for (int i = 1; i < 6; ++i)
        oldSum += oldPDF->xf( i, x, Q2) + oldPDF->xf( -i, x, Q2);
      if (iQ == 0) oldF4.fill ( xLog, oldSum );
      else       oldF100.fill ( xLog, oldSum );

      // Evaluate new summed PDF.
      double newSum = 2.25 * newPDF->xf( 21, x, Q2);
      for (int i = 1; i < 6; ++i)
        newSum += newPDF->xf( i, x, Q2) + newPDF->xf( -i, x, Q2);
      if (iQ == 0) newF4.fill ( xLog, newSum );
      else       newF100.fill ( xLog, newSum );

    //End loops over x and Q2 values.
    }
  }

  // Show F(x, Q2) and their ratio new/old.
  ratF4 = newF4 / oldF4;
  ratF100 = newF100 / oldF100;
  cout << oldF4 << newF4 << ratF4 << oldF100 << newF100 << ratF100;

  // Histogram momentum sum as a function of Q2 (or rather log10(Q2)).
  Hist oldXSum("momentum sum(log10(Q2)) old", 100, -2., 8.);
  Hist newXSum("momentum sum(log10(Q2)) new", 100, -2., 8.);
 
  // Loop over Q2 values.
  for (int iQ = 0; iQ < 100; ++iQ) {
    double log10Q2 = -2.0 + 0.1 * iQ + 0.05;
    double Q2 = pow( 10., log10Q2);

    // Evaluate old and new momentum sums.
    double oldSum = integrate( oldPDF, Q2);
    oldXSum.fill( log10Q2, oldSum);
    double newSum = integrate( newPDF, Q2);
    newXSum.fill( log10Q2, newSum);
  }

  // Show momentum sum as a function of Q2.
  cout << oldXSum << newXSum;

  // Done.
  delete oldPDF;
  delete newPDF;
  return 0;
}
pythia8-8.1.86.orig/examples/main13.cmnd0000644000175000017500000000277112357054676016136 0ustar  sunsun! main13.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The settings here are illustrative, not always physics-motivated.

! 1) Settings used in the main program.
Main:timesAllowErrors = 3          ! how many aborts before run stops

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = off ! list changed particle data
Next:numberCount =   0             ! print message every n events, 0 = off
Next:numberShowLHA = 1             ! print LHA information n times
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 0           ! print event record n times

! 3) Other common settings.
6:m0 = 175.                        ! same m_t as Pythia 6.4 to compare

! 4) The number of subruns to execute.
Main:numberOfSubruns = 2

! 5) Information specific to the first subrun
Main:subrun = 1                    ! matches readFile( ..., 1)
Beams:frameType = 4                ! use LHEF input
Beams:LHEF = ttbar.lhe             ! first LHEF event file

! 6) Information specific to the second subrun
Main:subrun = 2                    ! matches readFile( ..., 2)
Beams:newLHEFsameInit = on         ! no reinitialization needed/wanted
Beams:LHEF = ttbar2.lhe            ! second LHEF event file
pythia8-8.1.86.orig/examples/main88.cc0000644000175000017500000005453212357054702015606 0ustar  sunsun// main88.cc is a part of the PYTHIA event generator.
// Copyright (C) 2011 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do UNLOPS merging,
// see the NLO Merging page in the online manual.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include 

#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"
// Following line to be used with HepMC 2.04 onwards.
#include "HepMC/Units.h"

using namespace Pythia8;

//==========================================================================

// Example main programm to illustrate UNLOPS merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments ("< xsecLO;
  vector nSelectedLO;
  vector nAcceptLO;
  vector strategyLO;

  cout << endl << endl << endl;
  cout << "Start estimating unlops tree level cross section" << endl;

  while(njetcounterLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Start generation loop
    for( int iEvent=0; iEvent 0 )
      njetcounterLO--;
    else
      break;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Start estimating unlops virtual corrections cross section" << endl;

  pythia.settings.flag("Merging:doUNLOPSTree",false);
  pythia.settings.flag("Merging:doUNLOPSLoop", true);

  int njetcounterNLO  = nMaxNLO;
  string iPathLoop    = iPath + "_powheg";

  // Save estimates in vectors.
  vector xsecNLO;
  vector nSelectedNLO;
  vector nAcceptNLO;
  vector strategyNLO;

  while(njetcounterNLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterNLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathLoop+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathLoop + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterNLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Start generation loop
    for( int iEvent=0; iEvent 0 )
      njetcounterNLO--;
    else
      break;

  }

  int sizeLO   = int(xsecLO.size());
  int sizeNLO  = int(xsecNLO.size());

  // Switch off cross section estimation.
  pythia.settings.flag("Merging:doXSectionEstimate", false);

  // Switch showering and multiple interaction back on.
  pythia.settings.flag("PartonLevel:FSR",fsr);
  pythia.settings.flag("PartonLevel:ISR",isr);
  pythia.settings.flag("HadronLevel:all",had);
  pythia.settings.flag("PartonLevel:MPI",mpi);

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  // Declare sample cross section for output.
  double sigmaTemp  = 0.;
  vector sampleXStree;
  vector sampleXSvirt;
  vector sampleXSsubtTree;
  vector sampleXSsubtVirt;
  // Cross section an error.
  double sigmaTotal  = 0.;
  double errorTotal  = 0.;

  // Switch on tree-level processing.
  pythia.settings.flag("Merging:doUNLOPSTree",true);
  pythia.settings.flag("Merging:doUNLOPSLoop",false);
  pythia.settings.flag("Merging:doUNLOPSSubt",false);
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",false);
  pythia.settings.mode("Merging:nRecluster",0);

  // Start looping through input event files.
  njetcounterLO = nMaxLO;
  iPathTree     = iPath + "_tree";

  while(njetcounterLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start tree level treatment for " << njetcounterLO << " jets"
         << endl;

    // UNLOPS does not contain a zero-jet tree-level sample.
    if ( njetcounterLO == 0 ) break;
    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterLO;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc.
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;
    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();

    // Restart with ME of a reduced the number of jets
    if( njetcounterLO > 0 )
      njetcounterLO--;
    else
      break;

    // Save sample cross section for output.
    sampleXStree.push_back(sigmaTemp);
    sigmaTemp = 0.;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Start unlops virtual corrections part" << endl;

  // Switch on loop-level processing.
  pythia.settings.flag("Merging:doUNLOPSTree",false);
  pythia.settings.flag("Merging:doUNLOPSLoop",true);
  pythia.settings.flag("Merging:doUNLOPSSubt",false);
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",false);
  pythia.settings.mode("Merging:nRecluster",0);

  njetcounterNLO = nMaxNLO;
  iPathLoop= iPath + "_powheg";

  while(njetcounterNLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterNLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathLoop+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathLoop + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start loop level treatment for " << njetcounterNLO << " jets"
         << endl;

    pythia.settings.mode("Merging:nRequested", njetcounterNLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeNLO-1-njetcounterNLO;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXSvirt.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterNLO > 0)
      njetcounterNLO--;
    else
      break;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Shower subtractive events" << endl;

  // Switch on processing of counter-events.
  pythia.settings.flag("Merging:doUNLOPSTree",false);
  pythia.settings.flag("Merging:doUNLOPSLoop",false);
  pythia.settings.flag("Merging:doUNLOPSSubt",true);
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",false);
  pythia.settings.mode("Merging:nRecluster",1);

  int nMaxCT = nMaxLO;
  int njetcounterCT = nMaxCT;
  string iPathSubt= iPath + "_tree";

  while(njetcounterCT >= 1){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterCT << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathSubt+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathSubt + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start subtractive treatment for " << njetcounterCT << " jets"
         << endl;

    pythia.settings.mode("Merging:nRequested", njetcounterCT);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterCT;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc.
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXSsubtTree.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterCT > 1 )
      njetcounterCT--;
    else
      break;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Shower subtractive events" << endl;

  pythia.settings.flag("Merging:doUNLOPSTree",false);
  pythia.settings.flag("Merging:doUNLOPSLoop",false);
  pythia.settings.flag("Merging:doUNLOPSSubt",false);
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",true);
  pythia.settings.mode("Merging:nRecluster",1);

  nMaxCT = nMaxNLO;
  njetcounterCT = nMaxCT;
  iPathSubt= iPath + "_powheg";

  while(njetcounterCT >= 1){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterCT << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathSubt+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathSubt + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start subtractive treatment for " << njetcounterCT << " nlo jets"
         << endl;

    pythia.settings.mode("Merging:nRequested", njetcounterCT);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeNLO-1-njetcounterCT;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc.
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXSsubtVirt.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterCT > 1 )
      njetcounterCT--;
    else
      break;

  }

  // Print cross section information.
  cout << endl << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Sample cross sections after UNLOPS merging        |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading order cross sections (mb):                |" << endl;
  for (int i = 0; i < int(sampleXStree.size()); ++i)
    cout << " |     " << sampleXStree.size()-1-i+1 << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXStree[i] << "                     |" << endl;
  cout << " |     (No 0-jet tree-level sample in UNLOPS)        |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | NLO order cross sections (mb):                    |" << endl;
  for (int i = 0; i < int(sampleXSvirt.size()); ++i)
    cout << " |     " << sampleXSvirt.size()-1-i << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXSvirt[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading-order subtractive cross sections (mb):    |" << endl;
  for (int i = 0; i < int(sampleXSsubtTree.size()); ++i)
    cout << " |     " << sampleXSsubtTree.size()-1-i+1 << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXSsubtTree[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  if ( sampleXSsubtVirt.size() > 0) {
  cout << " | NLO subtractive cross sections (mb):              |" << endl;
  for (int i = 0; i < int(sampleXSsubtVirt.size()); ++i)
    cout << " |     " << sampleXSsubtVirt.size()-1-i+1 << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXSsubtVirt[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  }
  cout << " |---------------------------------------------------|" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " | Inclusive cross sections:                         |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | UNLOPS merged inclusive cross section:            |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << sigmaTotal << "  +-  " << setw(17) << sqrt(errorTotal) << " mb "
       << "   |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | NLO inclusive cross section:                      |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << xsecNLO.back() << " mb                           |"  << endl;
  cout << " |                                                   |" << endl;
  cout << " | LO inclusive cross section:                       |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << xsecLO.back() << " mb                           |" << endl;
  cout << " |                                                   |" << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << endl << endl;

  // Done
  return 0;

}pythia8-8.1.86.orig/examples/Makefile0000644000175000017500000001166712357054702015635 0ustar  sunsun#
# Examples Makefile.
#
#                  M. Kirsanov 07.04.2006
#                     Modified 18.11.2006
#                     26.03.2008 CLHEP dependency removed

SHELL = /bin/sh

-include config.mk
ifeq (x$(PYTHIA8LOCATION),x)
 PYTHIA8LOCATION=..
endif
-include $(PYTHIA8LOCATION)/config.mk

# Location of directories.
TOPDIR=$(shell \pwd)
INCDIR=include
SRCDIR=src
LIBDIR=lib
LIBDIRARCH=lib/archive
BINDIR=bin

# Libraries to include if GZIP support is enabled
ifeq (x$(ENABLEGZIP),xyes)
LIBGZIP=-L$(BOOSTLIBLOCATION) -lboost_iostreams -L$(ZLIBLOCATION) -lz
endif

# There is no default behaviour, so remind user.
all:
	@echo "Usage: for NN = example number: make mainNN"

# Create an executable for one of the normal test programs
main00  main01 main02 main03 main04 main05 main06 main07 main08 main09 main10 \
	main11 main12 main13 main14 main15 main16 main17 main18 main19 main20 \
	main21 main22 main23 main24 main25 main26 main27 main28 main29 main30 \
	main31 main32 main33 main34 main35 main36 main37 main38 main39 main40 \
	main80: \
	$(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8.a
	@mkdir -p $(BINDIR)
	$(CXX) $(CXXFLAGS) -I$(PYTHIA8LOCATION)/$(INCDIR) $@.cc -o $(BINDIR)/$@.exe \
	-L$(PYTHIA8LOCATION)/$(LIBDIRARCH) -lpythia8 -llhapdfdummy $(LIBGZIP)
	@ln -fs $(BINDIR)/$@.exe $@.exe

# Create an executable linked to HepMC (if all goes well).
# Owing to excessive warning output -Wshadow is not used for HepMC.
ifneq (x$(HEPMCLOCATION),x)
  main41 main42: \
	$(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8.a $(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8tohepmc.a
	@mkdir -p $(BINDIR)
	$(CXX) $(CXXFLAGS) -Wno-shadow -I$(PYTHIA8LOCATION)/$(INCDIR) -I$(HEPMCLOCATION)/include \
	$@.cc -o $(BINDIR)/$@.exe \
	-L$(PYTHIA8LOCATION)/$(LIBDIRARCH) -lpythia8 -llhapdfdummy $(LIBGZIP) \
	-lpythia8tohepmc \
	-L$(HEPMCLOCATION)/lib -lHepMC
	@ln -fs $(BINDIR)/$@.exe $@.exe
else
  main41 main42:
	@echo ERROR, this target needs HepMC, variable HEPMCLOCATION
endif

# Create an executable that links to LHAPDF
main51 main52 main53 main54: $(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8.a
	@mkdir -p $(BINDIR)
	$(CXX) $(CXXFLAGS) -I$(PYTHIA8LOCATION)/$(INCDIR) $@.cc -o $(BINDIR)/$@.exe \
	-L$(PYTHIA8LOCATION)/$(LIBDIRARCH) -lpythia8 $(LIBGZIP) \
	-L$(LHAPDFLOCATION) $(LHAPDFLIBNAME) \
	$(FLIBS)
	@ln -fs $(BINDIR)/$@.exe $@.exe

# Create an executable that links to LHAPDF and HepMC
main61 main62 main85 main86 main87 main88: \
	$(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8.a $(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8tohepmc.a
	@mkdir -p $(BINDIR)
	$(CXX) $(CXXFLAGS) -Wno-shadow -I$(PYTHIA8LOCATION)/$(INCDIR) -I$(HEPMCLOCATION)/include \
	$@.cc -o $(BINDIR)/$@.exe \
	-L$(PYTHIA8LOCATION)/$(LIBDIRARCH) -lpythia8 -lpythia8tohepmc $(LIBGZIP) \
	-L$(LHAPDFLOCATION) $(LHAPDFLIBNAME) \
	-L$(HEPMCLOCATION)/lib -lHepMC \
	$(FLIBS)
	@ln -fs $(BINDIR)/$@.exe $@.exe

# Create an executable that links to Fastjet
# Owing to excessive warning output -Wshadow is not used for Fastjet.
# (Fixed as of Fastjet 3.0.1, so will be modified eventually.)
ifneq (x$(FASTJETLOCATION),x)
  main71 main72: $(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8.a
	@mkdir -p $(BINDIR)
    # Note: $(CXXFLAGS) is after Fastjet flags as Fastjet includes
    #       optimisation/debug flags which may be unwanted (e.g. -g -O2)
	$(CXX) -I$(PYTHIA8LOCATION)/$(INCDIR) $@.cc \
	`$(FASTJETLOCATION)/bin/fastjet-config --cxxflags --plugins` \
	$(CXXFLAGS) -Wno-shadow \
	-o $(BINDIR)/$@.exe \
	-L$(PYTHIA8LOCATION)/$(LIBDIRARCH) -lpythia8 -llhapdfdummy $(LIBGZIP) \
	-L$(FASTJETLOCATION)/lib \
	`$(FASTJETLOCATION)/bin/fastjet-config --libs --plugins`
	@ln -fs $(BINDIR)/$@.exe $@.exe
	@rm -f $@.o
else
  main71 main72:
	@echo ERROR, this target needs Fastjet, variable FASTJETLOCATION
endif

# Create an executable that links to Fastjet, HepMC and LHApdf
# Owing to excessive warning output -Wshadow is not used for Fastjet.
# (Fixed as of Fastjet 3.0.1, so will be modified eventually.)
ifneq (x$(FASTJETLOCATION),x)
  main81 main82 main83 main84: \
	$(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8.a  $(PYTHIA8LOCATION)/$(LIBDIRARCH)/libpythia8tohepmc.a
	@mkdir -p $(BINDIR)
    # Note: $(CXXFLAGS) is after Fastjet flags as Fastjet includes
    #       optimisation/debug flags which may be unwanted (e.g. -g -O2)
	$(CXX) -I$(PYTHIA8LOCATION)/$(INCDIR) $@.cc \
	`$(FASTJETLOCATION)/bin/fastjet-config --cxxflags --plugins` \
	$(CXXFLAGS) -Wno-shadow \
	-I$(PYTHIA8LOCATION)/$(INCDIR) -I$(HEPMCLOCATION)/include \
	-o $(BINDIR)/$@.exe \
	-L$(PYTHIA8LOCATION)/$(LIBDIRARCH) -lpythia8 \
	-L$(LHAPDFLOCATION) $(LHAPDFLIBNAME) \
	-lpythia8tohepmc \
	-L$(HEPMCLOCATION)/lib -lHepMC \
	-L$(FASTJETLOCATION)/lib \
	-L$(LHAPDFLOCATION)/lib \
	`$(FASTJETLOCATION)/bin/fastjet-config --libs --plugins`
	@ln -fs $(BINDIR)/$@.exe $@.exe
	@rm -f $@.o
else
  main81 main82 main83 main84:
	@echo ERROR, this target needs Fastjet, variable FASTJETLOCATION
endif

# Clean up: remove executables and outdated files.
.PHONY: clean
clean:
	rm -rf $(BINDIR)
	rm -rf *.exe
	rm -f *~; rm -f \#*; rm -f core*
pythia8-8.1.86.orig/examples/main05.cc0000644000175000017500000001175012357054675015577 0ustar  sunsun// main05.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It studies jet production at the LHC, using SlowJet and CellJet.
// Note: the two finders are intended to construct approximately the same
// jet properties, but provides output in slightly different format,
// and have here not been optimized to show maximum possible agreement.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
 
int main() {

  // Number of events, generated and listed ones.
  int nEvent    = 500;
  int nListJets = 5;

  // Generator. LHC process and output selection. Initialization.
  Pythia pythia;
  pythia.readString("Beams:eCM = 14000.");
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 200.");
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");
  pythia.init();

  // Common parameters for the two jet finders.
  double etaMax   = 4.;
  double radius   = 0.7;
  double pTjetMin = 10.;
  // Exclude neutrinos (and other invisible) from study.
  int    nSel     = 2;
  // Range and granularity of CellJet jet finder.
  int    nEta     = 80;
  int    nPhi     = 64;

  // Set up SlowJet jet finder, with anti-kT clustering
  // and pion mass assumed for non-photons..
  SlowJet slowJet( -1, radius, pTjetMin, etaMax, nSel, 1);

  // Set up CellJet jet finder.
  CellJet cellJet( etaMax, nEta, nPhi, nSel);

  // Histograms. Note similarity in names, even when the two jet finders
  // do not calculate identically the same property (pT vs. ET, y vs. eta).
  Hist nJetsS("number of jets, SlowJet", 50, -0.5, 49.5);
  Hist nJetsC("number of jets, CellJet", 50, -0.5, 49.5);
  Hist nJetsD("number of jets, CellJet - SlowJet", 45, -22.5, 22.5);
  Hist eTjetsS("pT for jets, SlowJet", 100, 0., 500.);
  Hist eTjetsC("eT for jets, CellJet", 100, 0., 500.);
  Hist etaJetsS("y for jets, SlowJet", 100, -5., 5.);
  Hist etaJetsC("eta for jets, CellJet", 100, -5., 5.);
  Hist phiJetsS("phi for jets, SlowJwt", 100, -M_PI, M_PI);
  Hist phiJetsC("phi for jets, CellJet", 100, -M_PI, M_PI);
  Hist distJetsS("R distance between jets, SlowJet", 100, 0., 10.);
  Hist distJetsC("R distance between jets, CellJet", 100, 0., 10.);
  Hist eTdiffS("pT difference, SlowJet", 100, -100., 400.);
  Hist eTdiffC("eT difference, CellJet", 100, -100., 400.);

  // Begin event loop. Generate event. Skip if error.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {
    if (!pythia.next()) continue;

    // Analyze Slowet jet properties. List first few.
    slowJet. analyze( pythia.event );
    if (iEvent < nListJets) slowJet.list();

    // Fill SlowJet inclusive jet distributions.
    nJetsS.fill( slowJet.sizeJet() );
    for (int i = 0; i < slowJet.sizeJet(); ++i) {
      eTjetsS.fill( slowJet.pT(i) );
      etaJetsS.fill( slowJet.y(i) );
      phiJetsS.fill( slowJet.phi(i) );
    }

    // Fill SlowJet distance between jets.
    for (int i = 0; i < slowJet.sizeJet() - 1; ++i)
    for (int j = i +1; j < slowJet.sizeJet(); ++j) {
      double dEta = slowJet.y(i) - slowJet.y(j);
      double dPhi = abs( slowJet.phi(i) - slowJet.phi(j) );
      if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
      double dR = sqrt( pow2(dEta) + pow2(dPhi) );
      distJetsS.fill( dR );
    }

    // Fill SlowJet pT-difference between jets (to check ordering of list).
    for (int i = 1; i < slowJet.sizeJet(); ++i)
      eTdiffS.fill( slowJet.pT(i-1) - slowJet.pT(i) );

    // Analyze CellJet jet properties. List first few.
    cellJet. analyze( pythia.event, pTjetMin, radius );
    if (iEvent < nListJets) cellJet.list();

    // Fill CellJet inclusive jet distributions.
    nJetsC.fill( cellJet.size() );
    for (int i = 0; i < cellJet.size(); ++i) {
      eTjetsC.fill( cellJet.eT(i) );
      etaJetsC.fill( cellJet.etaWeighted(i) );
      phiJetsC.fill( cellJet.phiWeighted(i) );
    }

    // Fill CellJet distance between jets.
    for (int i = 0; i < cellJet.size() - 1; ++i)
    for (int j = i +1; j < cellJet.size(); ++j) {
      double dEta = cellJet.etaWeighted(i)
        - cellJet.etaWeighted(j);
      double dPhi = abs( cellJet.phiWeighted(i)
        - cellJet.phiWeighted(j) );
      if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
      double dR = sqrt( pow2(dEta) + pow2(dPhi) );
      distJetsC.fill( dR );
    }

    // Fill CellJet ET-difference between jets (to check ordering of list).
    for (int i = 1; i < cellJet.size(); ++i)
      eTdiffC.fill( cellJet.eT(i-1) - cellJet.eT(i) );

    // Compare number of jets for the two finders.
    nJetsD.fill( cellJet.size() - slowJet.sizeJet() );

  // End of event loop. Statistics. Histograms.
  }
  pythia.stat();
  cout << nJetsS << nJetsC << nJetsD << eTjetsS << eTjetsC
       << etaJetsS << etaJetsC << phiJetsS << phiJetsC
       << distJetsS << distJetsC << eTdiffS << eTdiffC;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main16.cmnd0000644000175000017500000000665412357054676016145 0ustar  sunsun! File: main16.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The changes here are illustrative, not always physics-motivated.

! 1) Settings that are used in the main program.
Main:numberOfEvents = 1000         ! number of events to generate
Main:timesAllowErrors = 10         ! abort run after this many flawed events

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = on  ! list changed particle data
#Init:showChangedResonanceData = on ! also print changed resonance data
#Init:showOneParticleData = 25      ! print data for this particular particle
Next:numberCount = 100             ! print message every n events
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 0           ! print event record n times
Stat:showPartonLevel = on          ! more statistics on MPI

! 3) Beam settings.
Beams:idA = 2212                   ! first beam, p = 2212, pbar = -2212
Beams:idB = 2212                   ! second beam, p = 2212, pbar = -2212
Beams:eCM = 14000.                 ! CM energy of collision, LHC

! 4) Settings for hard-process generation internal to Pythia8.
HiggsSM:gg2H = on                  ! Higgs production by gluon-gluon fusion

! 5) Set Higgs mass, width and branching ratios by hand.
! Values for 125 GeV SM Higgs taken from
! Handbook of LHC Higgs Cross Sections: 1. Inclusive Observables,
! S. Dittmaier et al., CERN-2011-002 [arXiv:1101.0593].
! Note: sum is not quite unity, and so BR's are rescaled accordingly.
25:m0        = 125.0               ! Higgs mass
25:mWidth    = 0.00403             ! Higgs width
25:0:bRatio  = 0.0                 ! H -> d dbar
25:1:bRatio  = 0.0                 ! H -> u ubar
25:2:bRatio  = 0.00044             ! H -> s sbar
25:3:bRatio  = 0.0268              ! H -> c cbar
25:4:bRatio  = 0.578               ! H -> b bbar
25:5:bRatio  = 0.0                 ! H -> t tbar
25:6:bRatio  = 0.0                 ! H -> e+ e-
25:7:bRatio  = 0.000221            ! H -> mu+ mu-
25:8:bRatio  = 0.0637              ! H -> tau+ tau-
25:9:bRatio  = 0.0856              ! H -> g g
25:10:bRatio = 0.00230             ! H -> gamma gamma
25:11:bRatio = 0.00155             ! H -> gamma Z
25:12:bRatio = 0.0267              ! H -> Z0 Z0
25:13:bRatio = 0.216               ! H -> W+ W-
25:0:meMode  = 100                 ! set meMode = 100 so that
25:1:meMode  = 100                 ! branching ratios are not
25:2:meMode  = 100                 ! overwritten at initialization
25:3:meMode  = 100
25:4:meMode  = 100
25:5:meMode  = 100
25:6:meMode  = 100
25:7:meMode  = 100
25:8:meMode  = 100
25:9:meMode  = 100
25:10:meMode = 100
25:11:meMode = 100
25:12:meMode = 100
25:13:meMode = 100

! 6) Switch off some key components of the simulation, for comparisons.
#PartonLevel:all = off              ! stop after hard process
#PartonLevel:MPI = off              ! no multiparton interactions
#PartonLevel:ISR = off              ! no initial-state radiation
#PartonLevel:FSR = off              ! no final-state radiation
#HadronLevel:all = off              ! stop after parton level
#HadronLevel:Hadronize = off        ! no hadronization
#HadronLevel:Decay = off            ! no decays

! 7) Any other changes you desire.
pythia8-8.1.86.orig/examples/main19.cc0000644000175000017500000001514712357054676015611 0ustar  sunsun// main19.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program runs four instances of Pythia simultaneously,
// one for signal events, one for pileup background ones, and two
// For beam-gas background ones. Note that Pythia does not do nuclear
// effects, so beam-gas is represented by "fixed-target" pp collisions.
// The = and += overloaded operators are used to join several
// event records into one, but should be used with caution.

// Note that each instance of Pythia is independent of any other,
// but with two important points to remember.
// 1) By default all generate the same random number sequence,
//    which has to be corrected if they are to generate the same
//    physics, like the two beam-gas ones below.
// 2) Interfaces to external Fortran programs are "by definition" static.
//    Thus it is not a good idea to use LHAPDF to set different PDF's
//    in different instances.

#include "Pythia8/Pythia.h"
using namespace Pythia8;

//==========================================================================

// Method to pick a number according to a Poissonian distribution.

int poisson(double nAvg, Rndm& rndm) {

  // Set maximum to avoid overflow.
  const int NMAX = 100;

  // Random number.
  double rPoisson = rndm.flat() * exp(nAvg);

  // Initialize.
  double rSum  = 0.;
  double rTerm = 1.;
  
  // Add to sum and check whether done.
  for (int i = 0; i < NMAX; ) {
    rSum += rTerm;
    if (rSum > rPoisson) return i;

    // Evaluate next term.
    ++i;
    rTerm *= nAvg / i;
  }

  // Emergency return.
  return NMAX;
}

//==========================================================================

int main() {

  // Number of signal events to generate.
  int nEvent = 100;

  // Beam Energy.
  double eBeam = 7000.;

  // Average number of pileup events per signal event.
  double nPileupAvg = 2.5;

  // Average number of beam-gas events per signal ones, on two sides.
  double nBeamAGasAvg = 0.5;
  double nBeamBGasAvg = 0.5;

  // Four generator instances.
  Pythia pythiaSignal;
  Pythia pythiaPileup;
  Pythia pythiaBeamAGas;
  Pythia pythiaBeamBGas;

  // One object where all individual events are to be collected.
  Event sumEvent;
 
  // Switch off automatic event listing.
  pythiaSignal.readString("Next:numberShowInfo = 0");
  pythiaSignal.readString("Next:numberShowProcess = 0");
  pythiaSignal.readString("Next:numberShowEvent = 0");
  pythiaPileup.readString("Next:numberShowInfo = 0");
  pythiaPileup.readString("Next:numberShowProcess = 0");
  pythiaPileup.readString("Next:numberShowEvent = 0");
  pythiaBeamAGas.readString("Next:numberShowInfo = 0");
  pythiaBeamAGas.readString("Next:numberShowProcess = 0");
  pythiaBeamAGas.readString("Next:numberShowEvent = 0");
  pythiaBeamBGas.readString("Next:numberShowInfo = 0");
  pythiaBeamBGas.readString("Next:numberShowProcess = 0");
  pythiaBeamBGas.readString("Next:numberShowEvent = 0");
 
  // Initialize generator for signal processes.
  pythiaSignal.readString("HardQCD:all = on");
  pythiaSignal.readString("PhaseSpace:pTHatMin = 50.");
  pythiaSignal.settings.parm("Beams:eCM", 2. * eBeam);
  pythiaSignal.init();

  // Initialize generator for pileup (background) processes.
  pythiaPileup.readString("Random:setSeed = on");
  pythiaPileup.readString("Random:seed = 10000002");
  pythiaPileup.readString("SoftQCD:all = on");
  pythiaPileup.settings.parm("Beams:eCM", 2. * eBeam);
  pythiaPileup.init();

  // Initialize generators for beam A - gas (background) processes.
  pythiaBeamAGas.readString("Random:setSeed = on");
  pythiaBeamAGas.readString("Random:seed = 10000003");
  pythiaBeamAGas.readString("SoftQCD:all = on");
  pythiaBeamAGas.readString("Beams:frameType = 2");
  pythiaBeamAGas.settings.parm("Beams:eA", eBeam);
  pythiaBeamAGas.settings.parm("Beams:eB", 0.);
  pythiaBeamAGas.init();

  // Initialize generators for beam B - gas (background) processes.
  pythiaBeamBGas.readString("Random:setSeed = on");
  pythiaBeamBGas.readString("Random:seed = 10000004");
  pythiaBeamBGas.readString("SoftQCD:all = on");
  pythiaBeamBGas.readString("Beams:frameType = 2");
  pythiaBeamBGas.settings.parm("Beams:eA", 0.);
  pythiaBeamBGas.settings.parm("Beams:eB", eBeam);
  pythiaBeamBGas.init();

  // Histograms: number of pileups, total charged multiplicity.
  Hist nPileH("number of pileup events per signal event", 100, -0.5, 99.5);
  Hist nAGH("number of beam A + gas events per signal event", 100, -0.5, 99.5);
  Hist nBGH("number of beam B + gas events per signal event", 100, -0.5, 99.5);
  Hist nChgH("number of charged multiplicity",100, -0.5, 1999.5);
  Hist sumPZH("total pZ of system",100, -100000., 100000.);

  // Loop over events.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate a signal event. Copy this event into sumEvent.
    if (!pythiaSignal.next()) continue;
    sumEvent = pythiaSignal.event;

    // Select the number of pileup events to generate.
    int nPileup = poisson(nPileupAvg, pythiaPileup.rndm);
    nPileH.fill( nPileup );

    // Generate a number of pileup events. Add them to sumEvent.
    for (int iPileup = 0; iPileup < nPileup; ++iPileup) {
      pythiaPileup.next();
      sumEvent += pythiaPileup.event;
    }

    // Select the number of beam A + gas events to generate.
    int nBeamAGas = poisson(nBeamAGasAvg, pythiaBeamAGas.rndm);
    nAGH.fill( nBeamAGas );

    // Generate a number of beam A + gas events. Add them to sumEvent.
    for (int iAG = 0; iAG < nBeamAGas; ++iAG) {
      pythiaBeamAGas.next();
      sumEvent += pythiaBeamAGas.event;
    }
  
    // Select the number of beam B + gas events to generate.
    int nBeamBGas = poisson(nBeamBGasAvg, pythiaBeamBGas.rndm);
    nBGH.fill( nBeamBGas );

    // Generate a number of beam B + gas events. Add them to sumEvent.
    for (int iBG = 0; iBG < nBeamBGas; ++iBG) {
      pythiaBeamBGas.next();
      sumEvent += pythiaBeamBGas.event;
    }
  
    // List first few events.
    if (iEvent < 1) {
      pythiaSignal.info.list();
      pythiaSignal.process.list();
      sumEvent.list();
    }

    // Find charged multiplicity.
    int nChg = 0;
    for (int i = 0; i < sumEvent.size(); ++i)
      if (sumEvent[i].isFinal() && sumEvent[i].isCharged()) ++nChg;
    nChgH.fill( nChg );

    // Fill net pZ - nonvanishing owing to beam + gas.
    sumPZH.fill( sumEvent[0].pz() );
 
  // End of event loop
  }

  // Statistics. Histograms.
  pythiaSignal.stat();
  pythiaPileup.stat();
  pythiaBeamAGas.stat();
  pythiaBeamBGas.stat();
  cout << nPileH << nAGH << nBGH << nChgH << sumPZH;

  return 0;
}
pythia8-8.1.86.orig/examples/main28.cc0000644000175000017500000001710112357054677015602 0ustar  sunsun// main28.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Peter Skands, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Example of of R-hadron production.
// Several of the possibilities shown here, like displaced vertices,
// are extras that need not be used for the basic setup.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Key settings to be used in the main program.
  // nGluino = 0, 1, 2 give stop pair, single gluino or gluino pair.
  int nGluino  = 2;
  int nEvent   = 200;
  int nAbort   = 3;
  int nList    = 0;
  double eCM   = 7000.;

  // Generator. Shorthand for the event.
  Pythia pythia;
  Event& event = pythia.event;

  // Set up beams: p p is default so only need set energy.
  pythia.settings.parm("Beams:eCM", eCM);

  // Squark pair: use stop-antistop as example.
  if (nGluino == 0) {
    pythia.readString("SUSY:gg2squarkantisquark = on");
    pythia.readString("SUSY:idA = 1000006");
    pythia.readString("SUSY:idB = 1000006");
  // Squark-gluino pair: also supersymmetric u has been made long-lived.
  // Stop does not work since then one would need inoming top PDF.
  // Nevertheless R-hadrons are numbered/named as if containing a stop.
  } else if (nGluino == 1) {
    pythia.readString("SUSY:qg2squarkgluino  = on");
    pythia.readString("SUSY:idA = 1000002");
    pythia.readString("RHadrons:idStop = 1000002");
    pythia.readString("SUSY:idB = 1000021");
  // Gluino pair.
  } else {
    pythia.readString("SUSY:gg2gluinogluino  = on");
  }

  // Use hacked sps1a file, with stop (+su) and gluino made long-lived.
  // This is based on the width being less than 0.2 GeV by default.
  pythia.readString("SLHA:file = sps1aNarrowStopGluino.spc");
  // Further hacked file, to test R-parity violating gluino decay.
  //pythia.readString("SLHA:file = sps1aNarrowStopGluinoRPV.spc");

  // Allow R-hadron formation.
  pythia.readString("Rhadrons:allow = on");

  // If you want to do the decay separately later,
  // you need to switch off automatic decays.
  pythia.readString("RHadrons:allowDecay = off");

  // Fraction of gluinoballs.
  pythia.readString("RHadrons:probGluinoball = 0.1");

  // Switch off key components.
  //pythia.readString("PartonLevel:MPI = off");
  //pythia.readString("PartonLevel:ISR = off");
  //pythia.readString("PartonLevel:FSR = off");
  //pythia.readString("HadronLevel:Hadronize = off");

  // Allow the R-hadrons to have secondary vertices: set c*tau in mm.
  // Note that width and lifetime can be set independently.
  // (Nonzero small widths are needed e.g. to select branching ratios.)
  pythia.readString("1000002:tau0 = 200.");
  pythia.readString("1000006:tau0 = 250.");
  pythia.readString("1000021:tau0 = 300.");

  // Checks. Optionally relax E-p-conservation.
  pythia.readString("Check:nErrList = 2");
  //pythia.readString("Check:epTolErr = 2e-3");

  // Possibility to switch off particle data and event listings.
  // Also to shop location of displaced vertices.
  pythia.readString("Init:showChangedSettings = on");
  pythia.readString("Init:showChangedParticleData = off");
  pythia.readString("Next:numberShowInfo = 1");
  pythia.readString("Next:numberShowProcess = 1");
  pythia.readString("Next:numberShowEvent = 0");
  pythia.readString("Next:showScaleAndVertex = on");

  // Initialize.
  pythia.init();

  // Histograms.
  Hist nChargedH("charged multiplicity", 100, -0.5, 799.5);
  Hist dndyChargedH("dn/dy charged", 100, -10., 10.);
  Hist dndyRH("dn/dy R-hadrons", 100, -5., 5.);
  Hist pTRH("pT R-hadrons", 100, 0., 1000.);
  Hist xRH("p_RHadron / p_sparticle", 100, 0.9, 1.1);
  Hist mDiff("m(Rhadron) - m(sparticle)", 100, 0., 5.);
  Hist decVtx("R-hadron decay vertex (mm from origin)", 100, 0., 1000.);

  // R-hadron flavour composition.
  map flavours;

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if failure.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Loop over final charged particles in the event.
    // The R-hadrons may not yet have decayed here.
    int nCharged = 0;
    Vec4 pSum;
    for (int i = 0; i < event.size(); ++i) {
      if (event[i].isFinal()) {
        pSum += event[i].p();
        if (event[i].isCharged()) {
          ++nCharged;
          dndyChargedH.fill( event[i].y() );
        }
      }
    }
    nChargedH.fill( nCharged );

    // Loop over final R-hadrons in the event: kinematic distribution
    for (int i = 0; i < event.size(); ++i) {
      int idAbs = event[i].idAbs();
      if (idAbs > 1000100 && idAbs < 2000000 && idAbs != 1009002) {
        ++flavours[ event[i].id() ];
        dndyRH.fill( event[i].y() );
        pTRH.fill( event[i].pT() );
        // Trace back to mother; compare momenta and masses.
        int iMother = i;
        while( event[iMother].statusAbs() > 100)
          iMother = event[iMother].mother1();
        double xFrac = event[i].pAbs() / event[iMother].pAbs();
        xRH.fill( xFrac);
        double mShift = event[i].m() - event[iMother].m();
        mDiff.fill( mShift );
        // Separation of R-hadron decay vertex from origin.
        // Don't be fooled by pAbs(); it gives the three-vector length
        // of any Vec4, also one representing spatial coordinates.
        double dist = event[i].vDec().pAbs();
        decVtx.fill( dist);

        // This is a place where you could allow a R-hadron shift of
        // identity, momentum and decay vertex to allow for detector effects.
        // Identity not illustrated here; requires a change of mass as well.
        // Toy model: assume an exponential energy loss, < > = 1 GeV,
        // but at most half of kinetic energy. Unchanged direction.
        // Note that event will no longer conserve energy and momentum.
        double eLossAvg = 1.;
        double eLoss = 0.;
        do { eLoss = eLossAvg * pythia.rndm.exp(); }
        while (eLoss > 0.5 * (event[i].e() - event[i].m()));
        double eNew = event[i].e() - eLoss;
        Vec4   pNew = event[i].p() * sqrt( pow2(eNew) - pow2(event[i].m()) )
                    / event[i].pAbs();
        pNew.e( eNew);
        event[i].p( pNew);
        // The decay vertex will be calculated based on the production vertex,
        // the proper lifetime tau and the NEW four-momentum, rather than
        // e.g. some average momentum, if you do not set it by hand.
        // This commented-out piece illustrates brute-force setting,
        // but you should provide real numbers from some tracking program.
        // With tau = 0 the decay is right at the chosen point.
        //event[i].tau( 0.);
        //event[i].vProd( 132., 155., 233., 177.);

      // End of loop over final R-hadrons.
      }
    }
   
    // If you have set R-hadrons stable above,
    // you can still force them to decay at this stage.
    pythia.forceRHadronDecays();
    if (iEvent < nList) pythia.event.list(true);
 
  // End of event loop.
  }

  // Final statistics, flavour composition and histogram output.
  pythia.stat();
  cout << "\n Composition of produced R-hadrons \n    code            "
       << "name   times " << endl;
  for (map::iterator flavNow = flavours.begin();
    flavNow != flavours.end(); ++flavNow)  cout << setw(8)
    << flavNow->first << setw(16) << pythia.particleData.name(flavNow->first)
    << setw(8) << flavNow->second << endl;
  cout << nChargedH << dndyChargedH << dndyRH << pTRH << xRH << mDiff
       << decVtx;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main72.cc0000644000175000017500000002460712357054701015576 0ustar  sunsun// main72.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It compares SlowJet, FJcore and FastJet, showing that they
// find the same jets.

#include "Pythia8/Pythia.h"

// The FastJet3.h header enables automatic initialisation of
// fastjet::PseudoJet objects from Pythia8 Particle and Vec4 objects,
// as well as advanced features such as access to (a copy of)
// the original Pythia 8 Particle directly from the PseudoJet,
// and fastjet selectors that make use of the Particle properties.
// See the extensive comments in the header file for further details
// and examples.
#include "Pythia8/FastJet3.h"

using namespace Pythia8;
 
int main() {

  // Number of events, generated and listed ones (for jets).
  int nEvent    = 1000;
  int nListJets = 3;

  // Select common parameters for SlowJet and FastJet analyses.
  int    power   = -1;     // -1 = anti-kT; 0 = C/A; 1 = kT.
  double R       = 0.7;    // Jet size.
  double pTMin   = 5.0;    // Min jet pT.
  double etaMax  = 5.0;    // Pseudorapidity range of detector.
  int    select  = 2;      // Which particles are included?
  int    massSet = 2;      // Which mass are they assumed to have?

  // Generator. Shorthand for event.
  Pythia pythia;
  Event& event = pythia.event;

  // Process selection.
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 200.");

  // No event record printout.
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");

  // LHC initialization.
  pythia.readString("Beams:eCM = 14000.");
  pythia.init();

  // Set up SlowJet jet finder in native mode.
  SlowJet slowJet( power, R, pTMin, etaMax, select, massSet, 0, false);
  
  // Set up SlowJet jet finder as a wrapper to the fjcore package.
  // Note that this is now the default SlowJet constructor choice.
  SlowJet fjCore( power, R, pTMin, etaMax, select, massSet, 0, true);

  // Set up FastJet jet finder.
  //   one can use either explicitly use antikt, cambridge, etc., or
  //   just use genkt_algorithm with specification of power
  //fastjet::JetAlgorithm algorithm;
  //if (power == -1)      algorithm = fastjet::antikt_algorithm;
  //if (power ==  0)      algorithm = fastjet::cambridge_algorithm;
  //if (power ==  1)      algorithm = fastjet::kt_algorithm;
  //fastjet::JetDefinition jetDef(algorithm, R);
  // there's no need for a pointer to the jetDef (it's a fairly small object)
  fastjet::JetDefinition jetDef(fastjet::genkt_algorithm, R, power);
  std::vector  fjInputs;

  // Histograms.
  Hist nJetsS("number of jets (SlowJet)", 100, -0.5, 99.5);
  Hist nJetsC("number of jets, FJcore - SlowJet ", 99, -49.5, 49.5);
  Hist nJetsF("number of jets, FastJet - SlowJet", 99, -49.5, 49.5);
  Hist pTjetsS("pT for jets (SlowJet)", 100, 0., 500.);
  Hist pTjetsC("pT for jets, FJcore - SlowJet ", 100, -10., 10.);
  Hist pTjetsF("pT for jets, FastJet - SlowJet", 100, -10., 10.);
  Hist etaJetsS("eta for jets (SlowJet)", 100, -5., 5.);
  Hist phiJetsS("phi for jets (SlowJet)", 100, -M_PI, M_PI);
  Hist RdistC("R distance FJcore to SlowJet ", 100, 0., 1.);
  Hist RdistF("R distance FastJet to SlowJet", 100, 0., 1.);
  Hist distJets("R distance between jets", 100, 0., 10.);
  Hist pTdiff("pT difference between consecutive jets", 100, -100., 400.);
  Hist nAna("multiplicity of analyzed event", 100, -0.5, 999.5);
  Hist tGen("generation time as fn of multiplicity", 100, -0.5, 999.5);
  Hist tSlow("SlowJet time as fn of multiplicity", 100, -0.5, 999.5);
  Hist tCore("FJcore time as fn of multiplicity ", 100, -0.5, 999.5);
  Hist tFast("FastJet time as fn of multiplicity", 100, -0.5, 999.5);
  Hist tSlowGen("SlowJet/generation time as fn of multiplicity",
    100, -0.5, 999.5);
  Hist tCoreGen("FJcore/generation time as fn of multiplicity",
    100, -0.5, 999.5);
  Hist tFastGen("FastJet/generation time as fn of multiplicity",
    100, -0.5, 999.5);
  Hist tFastCore("FastJet/FJcore time as fn of multiplicity",
    100, -0.5, 999.5);

  // Begin event loop. Generate event. Skip if error.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {
    clock_t befGen = clock();
    if (!pythia.next()) continue;
    clock_t aftGen = clock();

    // Begin SlowJet analysis of jet properties. List first few.
    clock_t befSlow = clock();
    slowJet.analyze( pythia.event );
    clock_t aftSlow = clock();
    if (iEvent < nListJets) slowJet.list();

    // Fill inclusive SlowJet jet distributions.
    int nSlow = slowJet.sizeJet();
    nJetsS.fill( nSlow );
    for (int i = 0; i < nSlow; ++i) {
      pTjetsS.fill( slowJet.pT(i) );
      etaJetsS.fill( slowJet.y(i) );
      phiJetsS.fill( slowJet.phi(i) );
    }

    // Fill distance between SlowJet jets.
    for (int i = 0; i < nSlow - 1; ++i)
    for (int j = i + 1; j < nSlow; ++j) {
      double dY = slowJet.y(i)  - slowJet.y(j);
      double dPhi = abs( slowJet.phi(i) - slowJet.phi(j) );
      if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
      double dR = sqrt( pow2(dY) + pow2(dPhi) );
      distJets.fill( dR );
    }

    // Fill pT-difference between SlowJet jets (to check ordering of list).
    for (int i = 1; i < nSlow; ++i)
      pTdiff.fill( slowJet.pT(i-1)- slowJet.pT(i) );

    // Begin FJcore analysis of jet properties. List first few.
    clock_t befCore = clock();
    fjCore.analyze( pythia.event );
    clock_t aftCore = clock();
    if (iEvent < nListJets) fjCore.list();

    // Fill distribution of fjCore jets relative to SlowJet ones.
    int nCore = fjCore.sizeJet();
    nJetsC.fill( nCore - nSlow);
    if (nCore == nSlow) {
      for (int i = 0; i < nCore; ++i) {
        pTjetsC.fill( fjCore.pT(i) - slowJet.pT(i) );
        double dist2 = pow2( fjCore.y(i) - slowJet.y(i))
          + pow2( fjCore.phi(i) - slowJet.phi(i) );
        RdistC.fill( sqrt(dist2) );
      }
    }

    // Begin FastJet analysis: extract particles from event record.
    clock_t befFast = clock();
    fjInputs.resize(0);
    Vec4   pTemp;
    double mTemp;
    int nAnalyze = 0;
    for (int i = 0; i < event.size(); ++i) if (event[i].isFinal()) {

      // Require visible/charged particles inside detector.
      if      (select > 2 &&  event[i].isNeutral() ) continue;
      else if (select == 2 && !event[i].isVisible() ) continue;
      if (etaMax < 20. && abs(event[i].eta()) > etaMax) continue;
     
      // Create a PseudoJet from the complete Pythia particle.
      fastjet::PseudoJet particleTemp = event[i];
     
      // Optionally modify mass and energy.
      pTemp = event[i].p();
      mTemp = event[i].m();
      if (massSet < 2) {
        mTemp = (massSet == 0 || event[i].id() == 22) ? 0. : 0.13957;
        pTemp.e( sqrt(pTemp.pAbs2() + mTemp*mTemp) );
        particleTemp.reset_momentum( pTemp.px(), pTemp.py(),
           pTemp.pz(), pTemp.e() );
      }

      // Store acceptable particles as input to Fastjet.
      // Conversion to PseudoJet is performed automatically
      // with the help of the code in FastJet3.h.
      fjInputs.push_back( particleTemp);
      ++nAnalyze;
    }

    // Run Fastjet algorithm and sort jets in pT order.
    vector  inclusiveJets, sortedJets;
    fastjet::ClusterSequence clustSeq(fjInputs, jetDef);
    inclusiveJets = clustSeq.inclusive_jets(pTMin);
    sortedJets    = sorted_by_pt(inclusiveJets);
    clock_t aftFast = clock();

    // List first few FastJet jets and some info about them.
    // Note: the final few columns are illustrative of what information
    // can be extracted, but does not exhaust the possibilities.
    if (iEvent < nListJets) {
      cout << "\n --------  FastJet jets, p = " << setw(2) << power
           << "  --------------------------------------------------\n\n "
           << "  i         pT        y      phi  mult chgmult photons"
           << "      hardest  pT in neutral " << endl
           << "                                                       "
           << "  constituent        hadrons " << endl;
      for (int i = 0; i < int(sortedJets.size()); ++i) {
        vector constituents
          = sortedJets[i].constituents();
        fastjet::PseudoJet hardest
          = fastjet::SelectorNHardest(1)(constituents)[0];
        vector neutral_hadrons
          = ( fastjet::SelectorIsHadron()
           && fastjet::SelectorIsNeutral())(constituents);
        double neutral_hadrons_pt = join(neutral_hadrons).perp();
        cout << setw(4) << i << fixed << setprecision(3) << setw(11)
             << sortedJets[i].perp() << setw(9)  << sortedJets[i].rap()
             << setw(9) << sortedJets[i].phi_std()
             << setw(6) << constituents.size()
             << setw(8) << fastjet::SelectorIsCharged().count(constituents)
             << setw(8) << fastjet::SelectorId(22).count(constituents)
             << setw(13) << hardest.user_info().name()
             << "     " << setw(10) << neutral_hadrons_pt << endl;
      }
      cout << "\n --------  End FastJet Listing  ------------------"
           << "---------------------------------" << endl;
    }
 
    // Fill distribution of FastJet jets relative to SlowJet ones.
    int nFast = sortedJets.size();
    nJetsF.fill( nFast - nSlow);
    if (nFast == nSlow) {
      for (int i = 0; i < nFast; ++i) {
        pTjetsF.fill( sortedJets[i].perp() - slowJet.pT(i) );
        double dist2 = pow2( sortedJets[i].rap() - slowJet.y(i))
          + pow2( sortedJets[i].phi_std() - slowJet.phi(i));
        RdistF.fill( sqrt(dist2) );
      }
    }
    
    // Comparison of time consumption by analyzed multiplicity.
    nAna.fill( nAnalyze);
    tGen.fill( nAnalyze, aftGen - befGen);
    tSlow.fill( nAnalyze, aftSlow - befSlow);
    tCore.fill( nAnalyze, aftCore - befCore);
    tFast.fill( nAnalyze, aftFast - befFast);

  // End of event loop.
  }

  // Statistics. Histograms.
  pythia.stat();
  tSlowGen  = tSlow / tGen;
  tCoreGen  = tCore / tGen;
  tFastGen  = tFast / tGen;
  tFastCore = tFast / tCore;
  tGen     /= nAna;
  tSlow    /= nAna;
  tCore    /= nAna;
  tFast    /= nAna;
  cout << nJetsS << nJetsC << nJetsF << pTjetsS << pTjetsC << pTjetsF
       << etaJetsS << phiJetsS << RdistC << RdistF << distJets << pTdiff
       << nAna << tGen << tSlow << tCore << tFast << tSlowGen << tCoreGen
       << tFastGen << tFastCore;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/sps1aWithDecays.spc0000644000175000017500000013613312357054721017715 0ustar  sunsun##******************************************************************
##                      MadGraph/MadEvent                          *
##******************************************************************
##                                                                 *
##  param_card corresponding the SPS point 1a (by SoftSusy 2.0.5)  *
##                                                                 *
##******************************************************************
## Les Houches friendly file for the (MS)SM parameters of MadGraph *
##      SM parameter set and decay widths produced by MSSMCalc     *
##******************************************************************
##*Please note the following IMPORTANT issues:                     *
##                                                                 *
##0. REFRAIN from editing this file by hand! Some of the parame-   *
##   ters are not independent. Always use a calculator.            *
##                                                                 *
##1. alpha_S(MZ) has been used in the calculation of the parameters*
##   This value is KEPT by madgraph when no pdf are used lpp(i)=0, *
##   but, for consistency, it will be reset by madgraph to the     *
##   value expected IF the pdfs for collisions with hadrons are    *
##   used.                                                         *
##                                                                 *
##2. Values of the charm and bottom kinematic (pole) masses are    *
##   those used in the matrix elements and phase space UNLESS they *
##   are set to ZERO from the start in the model (particles.dat)   *
##   This happens, for example,  when using 5-flavor QCD where     *
##   charm and bottom are treated as partons in the initial state  *
##   and a zero mass might be hardwired in the model definition.   *
##                                                                 *
##       The SUSY decays have calculated using SDECAY 1.1a         *
##                                                                 *
##******************************************************************
#
BLOCK DCINFO  # Decay Program information
     1   SDECAY      # decay calculator
     2   1.1a        # version number
#
BLOCK SPINFO  # Spectrum calculator information
     1   SOFTSUSY    # spectrum calculator                 
     2   2.0.5         # version number                    
#
BLOCK MODSEL  # Model selection
     1     1   sugra                                             
#
BLOCK SMINPUTS  # Standard Model inputs
     1     1.27934000E+02   # alpha_em^-1(M_Z)^MSbar
     2     1.16637000E-05   # G_F [GeV^-2]
     3     1.18000000E-01   # alpha_S(M_Z)^MSbar
     4     9.11876000E+01   # M_Z pole mass
     5     4.25000000E+00   # mb(mb)^MSbar
     6     1.75000000E+02   # mt pole mass
     7     1.77700000E+00   # mtau pole mass
#
BLOCK MINPAR  # Input parameters - minimal models
     1     1.00000000E+02   # m0                  
     2     2.50000000E+02   # m12                 
     3     1.00000000E+01   # tanb                
     4     1.00000000E+00   # sign(mu)            
     5    -1.00000000E+02   # A0                  
#
BLOCK MASS  # Mass Spectrum
# PDG code           mass       particle
         5     4.88991651E+00   # b-quark pole mass calculated from mb(mb)_Msbar
         6     1.75000000E+02   # mt pole mass (not read by ME)
        24     7.98290131E+01   # W+
        25     1.10899057E+02   # h
        35     3.99960116E+02   # H
        36     3.99583917E+02   # A
        37     4.07879012E+02   # H+
   1000001     5.68441109E+02   # ~d_L
   2000001     5.45228462E+02   # ~d_R
   1000002     5.61119014E+02   # ~u_L
   2000002     5.49259265E+02   # ~u_R
   1000003     5.68441109E+02   # ~s_L
   2000003     5.45228462E+02   # ~s_R
   1000004     5.61119014E+02   # ~c_L
   2000004     5.49259265E+02   # ~c_R
   1000005     5.13065179E+02   # ~b_1
   2000005     5.43726676E+02   # ~b_2
   1000006     3.99668493E+02   # ~t_1
   2000006     5.85785818E+02   # ~t_2
   1000011     2.02915690E+02   # ~e_L
   2000011     1.44102799E+02   # ~e_R
   1000012     1.85258326E+02   # ~nu_eL
   1000013     2.02915690E+02   # ~mu_L
   2000013     1.44102799E+02   # ~mu_R
   1000014     1.85258326E+02   # ~nu_muL
   1000015     1.34490864E+02   # ~tau_1
   2000015     2.06867805E+02   # ~tau_2
   1000016     1.84708464E+02   # ~nu_tauL
   1000021     6.07713704E+02   # ~g
   1000022     9.66880686E+01   # ~chi_10
   1000023     1.81088157E+02   # ~chi_20
   1000025    -3.63756027E+02   # ~chi_30
   1000035     3.81729382E+02   # ~chi_40
   1000024     1.81696474E+02   # ~chi_1+
   1000037     3.79939320E+02   # ~chi_2+
#
BLOCK NMIX  # Neutralino Mixing Matrix
  1  1     9.86364430E-01   # N_11
  1  2    -5.31103553E-02   # N_12
  1  3     1.46433995E-01   # N_13
  1  4    -5.31186117E-02   # N_14
  2  1     9.93505358E-02   # N_21
  2  2     9.44949299E-01   # N_22
  2  3    -2.69846720E-01   # N_23
  2  4     1.56150698E-01   # N_24
  3  1    -6.03388002E-02   # N_31
  3  2     8.77004854E-02   # N_32
  3  3     6.95877493E-01   # N_33
  3  4     7.10226984E-01   # N_34
  4  1    -1.16507132E-01   # N_41
  4  2     3.10739017E-01   # N_42
  4  3     6.49225960E-01   # N_43
  4  4    -6.84377823E-01   # N_44
#
BLOCK UMIX  # Chargino Mixing Matrix U
  1  1     9.16834859E-01   # U_11
  1  2    -3.99266629E-01   # U_12
  2  1     3.99266629E-01   # U_21
  2  2     9.16834859E-01   # U_22
#
BLOCK VMIX  # Chargino Mixing Matrix V
  1  1     9.72557835E-01   # V_11
  1  2    -2.32661249E-01   # V_12
  2  1     2.32661249E-01   # V_21
  2  2     9.72557835E-01   # V_22
#
BLOCK STOPMIX  # Stop Mixing Matrix
  1  1     5.53644960E-01   # O_{11}
  1  2     8.32752820E-01   # O_{12}
  2  1     8.32752820E-01   # O_{21}
  2  2    -5.53644960E-01   # O_{22}
#
BLOCK SBOTMIX  # Sbottom Mixing Matrix
  1  1     9.38737896E-01   # O_{11}
  1  2     3.44631925E-01   # O_{12}
  2  1    -3.44631925E-01   # O_{21}
  2  2     9.38737896E-01   # O_{22}
#
BLOCK STAUMIX  # Stau Mixing Matrix
  1  1     2.82487190E-01   # O_{11}
  1  2     9.59271071E-01   # O_{12}
  2  1     9.59271071E-01   # O_{21}
  2  2    -2.82487190E-01   # O_{22}
#
BLOCK ALPHA  # Higgs mixing
          -1.13825210E-01   # Mixing angle in the neutral Higgs boson sector
#
BLOCK HMIX Q=  4.67034192E+02  # DRbar Higgs Parameters
     1     3.57680977E+02   # mu(Q)MSSM DRbar     
     2     9.74862403E+00   # tan beta(Q)MSSM DRba
     3     2.44894549E+02   # higgs vev(Q)MSSM DRb
     4     1.66439065E+05   # mA^2(Q)MSSM DRbar   
#
BLOCK GAUGE Q=  4.67034192E+02  # The gauge couplings
     3     1.10178679E+00   # g3(Q) MSbar
#
BLOCK AU Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_u(Q) DRbar
  2  2     0.00000000E+00   # A_c(Q) DRbar
  3  3    -4.98129778E+02   # A_t(Q) DRbar
#
BLOCK AD Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_d(Q) DRbar
  2  2     0.00000000E+00   # A_s(Q) DRbar
  3  3    -7.97274397E+02   # A_b(Q) DRbar
#
BLOCK AE Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_e(Q) DRbar
  2  2     0.00000000E+00   # A_mu(Q) DRbar
  3  3    -2.51776873E+02   # A_tau(Q) DRbar
#
BLOCK YU Q=  4.67034192E+02  # The Yukawa couplings
  3  3     8.92844550E-01   # y_t(Q) DRbar
#
BLOCK YD Q=  4.67034192E+02  # The Yukawa couplings
  3  3     1.38840206E-01   # y_b(Q) DRbar
#
BLOCK YE Q=  4.67034192E+02  # The Yukawa couplings
  3  3     1.00890810E-01   # y_tau(Q) DRbar
#
BLOCK MSOFT Q=  4.67034192E+02  # The soft SUSY breaking masses at the scale Q
     1     1.01396534E+02   # M_1(Q)              
     2     1.91504241E+02   # M_2(Q)              
     3     5.88263031E+02   # M_3(Q)              
    21     3.23374943E+04   # mH1^2(Q)            
    22    -1.28800134E+05   # mH2^2(Q)            
    31     1.95334764E+02   # meL(Q)              
    32     1.95334764E+02   # mmuL(Q)             
    33     1.94495956E+02   # mtauL(Q)            
    34     1.36494061E+02   # meR(Q)              
    35     1.36494061E+02   # mmuR(Q)             
    36     1.34043428E+02   # mtauR(Q)            
    41     5.47573466E+02   # mqL1(Q)             
    42     5.47573466E+02   # mqL2(Q)             
    43     4.98763839E+02   # mqL3(Q)             
    44     5.29511195E+02   # muR(Q)              
    45     5.29511195E+02   # mcR(Q)              
    46     4.23245877E+02   # mtR(Q)              
    47     5.23148807E+02   # mdR(Q)              
    48     5.23148807E+02   # msR(Q)              
    49     5.19867261E+02   # mbR(Q)              
#
#
#
#                             =================
#                             |The decay table|
#                             =================
#
# - The multi-body decays for the inos, stops and sbottoms are included.
#
#         PDG            Width
DECAY        25     1.98610799E-03   # h decays
#          BR         NDA      ID1       ID2
     1.45642955E-01    2          15       -15   # BR(H1 -> tau- tau+)
     8.19070713E-01    2           5        -5   # BR(H1 -> b bb)
     3.36338173E-02    2          24       -24   # BR(H1 -> W+ W-)
     1.65251528E-03    2          23        23   # BR(H1 -> Z Z)
#
#         PDG            Width
DECAY        35     5.74801389E-01   # H decays
#          BR         NDA      ID1       ID2
     1.39072676E-01    2          15       -15   # BR(H -> tau- tau+)
     4.84110879E-02    2           6        -6   # BR(H -> t tb)
     7.89500067E-01    2           5        -5   # BR(H -> b bb)
     3.87681171E-03    2          24       -24   # BR(H -> W+ W-)
     1.80454752E-03    2          23        23   # BR(H -> Z Z)
     0.00000000E+00    2          24       -37   # BR(H -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(H -> W- H+)
     0.00000000E+00    2          37       -37   # BR(H -> H+ H-)
     1.73348101E-02    2          25        25   # BR(H -> h h)
     0.00000000E+00    2          36        36   # BR(H -> A A)
#
#         PDG            Width
DECAY        36     6.32178488E-01   # A decays
#          BR         NDA      ID1       ID2
     1.26659725E-01    2          15       -15   # BR(A -> tau- tau+)
     1.51081526E-01    2           6        -6   # BR(A -> t tb)
     7.19406137E-01    2           5        -5   # BR(A -> b bb)
     2.85261228E-03    2          23        25   # BR(A -> Z h)
     0.00000000E+00    2          23        35   # BR(A -> Z H)
     0.00000000E+00    2          24       -37   # BR(A -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(A -> W- H+)
#
#         PDG            Width
DECAY        37     5.46962813E-01   # H+ decays
#          BR         NDA      ID1       ID2
     1.49435135E-01    2         -15        16   # BR(H+ -> tau+ nu_tau)
     8.46811711E-01    2           6        -5   # BR(H+ -> t bb)
     3.75315387E-03    2          24        25   # BR(H+ -> W+ h)
     0.00000000E+00    2          24        35   # BR(H+ -> W+ H)
     0.00000000E+00    2          24        36   # BR(H+ -> W+ A)
#
#         PDG            Width
DECAY   1000021     5.50675438E+00   # gluino decays
#          BR         NDA      ID1       ID2
     2.08454202E-02    2     1000001        -1   # BR(~g -> ~d_L  db)
     2.08454202E-02    2    -1000001         1   # BR(~g -> ~d_L* d )
     5.07075274E-02    2     2000001        -1   # BR(~g -> ~d_R  db)
     5.07075274E-02    2    -2000001         1   # BR(~g -> ~d_R* d )
     2.89787767E-02    2     1000002        -2   # BR(~g -> ~u_L  ub)
     2.89787767E-02    2    -1000002         2   # BR(~g -> ~u_L* u )
     4.46872773E-02    2     2000002        -2   # BR(~g -> ~u_R  ub)
     4.46872773E-02    2    -2000002         2   # BR(~g -> ~u_R* u )
     2.08454202E-02    2     1000003        -3   # BR(~g -> ~s_L  sb)
     2.08454202E-02    2    -1000003         3   # BR(~g -> ~s_L* s )
     5.07075274E-02    2     2000003        -3   # BR(~g -> ~s_R  sb)
     5.07075274E-02    2    -2000003         3   # BR(~g -> ~s_R* s )
     2.89787767E-02    2     1000004        -4   # BR(~g -> ~c_L  cb)
     2.89787767E-02    2    -1000004         4   # BR(~g -> ~c_L* c )
     4.46872773E-02    2     2000004        -4   # BR(~g -> ~c_R  cb)
     4.46872773E-02    2    -2000004         4   # BR(~g -> ~c_R* c )
     1.05840237E-01    2     1000005        -5   # BR(~g -> ~b_1  bb)
     1.05840237E-01    2    -1000005         5   # BR(~g -> ~b_1* b )
     5.56574805E-02    2     2000005        -5   # BR(~g -> ~b_2  bb)
     5.56574805E-02    2    -2000005         5   # BR(~g -> ~b_2* b )
     4.80642793E-02    2     1000006        -6   # BR(~g -> ~t_1  tb)
     4.80642793E-02    2    -1000006         6   # BR(~g -> ~t_1* t )
     0.00000000E+00    2     2000006        -6   # BR(~g -> ~t_2  tb)
     0.00000000E+00    2    -2000006         6   # BR(~g -> ~t_2* t )
#
#         PDG            Width
DECAY   1000006     2.02159578E+00   # stop1 decays
#          BR         NDA      ID1       ID2
     1.92947616E-01    2     1000022         6   # BR(~t_1 -> ~chi_10 t )
     1.17469211E-01    2     1000023         6   # BR(~t_1 -> ~chi_20 t )
     0.00000000E+00    2     1000025         6   # BR(~t_1 -> ~chi_30 t )
     0.00000000E+00    2     1000035         6   # BR(~t_1 -> ~chi_40 t )
     6.75747693E-01    2     1000024         5   # BR(~t_1 -> ~chi_1+ b )
     1.38354802E-02    2     1000037         5   # BR(~t_1 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_1 -> ~g      t )
     0.00000000E+00    2     1000005        37   # BR(~t_1 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_1 -> ~b_2    H+)
     0.00000000E+00    2     1000005        24   # BR(~t_1 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_1 -> ~b_2    W+)
#
#         PDG            Width
DECAY   2000006     7.37313275E+00   # stop2 decays
#          BR         NDA      ID1       ID2
     2.96825635E-02    2     1000022         6   # BR(~t_2 -> ~chi_10 t )
     8.68035358E-02    2     1000023         6   # BR(~t_2 -> ~chi_20 t )
     4.18408351E-02    2     1000025         6   # BR(~t_2 -> ~chi_30 t )
     1.93281647E-01    2     1000035         6   # BR(~t_2 -> ~chi_40 t )
     2.19632356E-01    2     1000024         5   # BR(~t_2 -> ~chi_1+ b )
     2.02206148E-01    2     1000037         5   # BR(~t_2 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_2 -> ~g      t )
     3.66397706E-02    2     1000006        25   # BR(~t_2 -> ~t_1    h )
     0.00000000E+00    2     1000006        35   # BR(~t_2 -> ~t_1    H )
     0.00000000E+00    2     1000006        36   # BR(~t_2 -> ~t_1    A )
     0.00000000E+00    2     1000005        37   # BR(~t_2 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_2 -> ~b_2    H+)
     1.89913144E-01    2     1000006        23   # BR(~t_2 -> ~t_1    Z )
     0.00000000E+00    2     1000005        24   # BR(~t_2 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_2 -> ~b_2    W+)
#
#         PDG            Width
DECAY   1000005     3.73627601E+00   # sbottom1 decays
#          BR         NDA      ID1       ID2
     4.43307074E-02    2     1000022         5   # BR(~b_1 -> ~chi_10 b )
     3.56319904E-01    2     1000023         5   # BR(~b_1 -> ~chi_20 b )
     5.16083795E-03    2     1000025         5   # BR(~b_1 -> ~chi_30 b )
     1.04105080E-02    2     1000035         5   # BR(~b_1 -> ~chi_40 b )
     4.45830064E-01    2    -1000024         6   # BR(~b_1 -> ~chi_1- t )
     0.00000000E+00    2    -1000037         6   # BR(~b_1 -> ~chi_2- t )
     0.00000000E+00    2     1000021         5   # BR(~b_1 -> ~g      b )
     0.00000000E+00    2     1000006       -37   # BR(~b_1 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_1 -> ~t_2    H-)
     1.37947979E-01    2     1000006       -24   # BR(~b_1 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_1 -> ~t_2    W-)
#
#         PDG            Width
DECAY   2000005     8.01566294E-01   # sbottom2 decays
#          BR         NDA      ID1       ID2
     2.86200590E-01    2     1000022         5   # BR(~b_2 -> ~chi_10 b )
     1.40315912E-01    2     1000023         5   # BR(~b_2 -> ~chi_20 b )
     5.32635592E-02    2     1000025         5   # BR(~b_2 -> ~chi_30 b )
     7.48748121E-02    2     1000035         5   # BR(~b_2 -> ~chi_40 b )
     1.79734294E-01    2    -1000024         6   # BR(~b_2 -> ~chi_1- t )
     0.00000000E+00    2    -1000037         6   # BR(~b_2 -> ~chi_2- t )
     0.00000000E+00    2     1000021         5   # BR(~b_2 -> ~g      b )
     0.00000000E+00    2     1000005        25   # BR(~b_2 -> ~b_1    h )
     0.00000000E+00    2     1000005        35   # BR(~b_2 -> ~b_1    H )
     0.00000000E+00    2     1000005        36   # BR(~b_2 -> ~b_1    A )
     0.00000000E+00    2     1000006       -37   # BR(~b_2 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_2 -> ~t_2    H-)
     0.00000000E+00    2     1000005        23   # BR(~b_2 -> ~b_1    Z )
     2.65610832E-01    2     1000006       -24   # BR(~b_2 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_2 -> ~t_2    W-)
#
#         PDG            Width
DECAY   1000002     5.47719539E+00   # sup_L decays
#          BR         NDA      ID1       ID2
     6.65240987E-03    2     1000022         2   # BR(~u_L -> ~chi_10 u)
     3.19051458E-01    2     1000023         2   # BR(~u_L -> ~chi_20 u)
     8.44929059E-04    2     1000025         2   # BR(~u_L -> ~chi_30 u)
     1.03485173E-02    2     1000035         2   # BR(~u_L -> ~chi_40 u)
     6.49499518E-01    2     1000024         1   # BR(~u_L -> ~chi_1+ d)
     1.36031676E-02    2     1000037         1   # BR(~u_L -> ~chi_2+ d)
     0.00000000E+00    2     1000021         2   # BR(~u_L -> ~g      u)
#
#         PDG            Width
DECAY   2000002     1.15297292E+00   # sup_R decays
#          BR         NDA      ID1       ID2
     9.86377420E-01    2     1000022         2   # BR(~u_R -> ~chi_10 u)
     8.46640647E-03    2     1000023         2   # BR(~u_R -> ~chi_20 u)
     1.23894695E-03    2     1000025         2   # BR(~u_R -> ~chi_30 u)
     3.91722611E-03    2     1000035         2   # BR(~u_R -> ~chi_40 u)
     0.00000000E+00    2     1000024         1   # BR(~u_R -> ~chi_1+ d)
     0.00000000E+00    2     1000037         1   # BR(~u_R -> ~chi_2+ d)
     0.00000000E+00    2     1000021         2   # BR(~u_R -> ~g      u)
#
#         PDG            Width
DECAY   1000001     5.31278772E+00   # sdown_L decays
#          BR         NDA      ID1       ID2
     2.32317969E-02    2     1000022         1   # BR(~d_L -> ~chi_10 d)
     3.10235077E-01    2     1000023         1   # BR(~d_L -> ~chi_20 d)
     1.52334771E-03    2     1000025         1   # BR(~d_L -> ~chi_30 d)
     1.48849798E-02    2     1000035         1   # BR(~d_L -> ~chi_40 d)
     6.06452481E-01    2    -1000024         2   # BR(~d_L -> ~chi_1- u)
     4.36723179E-02    2    -1000037         2   # BR(~d_L -> ~chi_2- u)
     0.00000000E+00    2     1000021         1   # BR(~d_L -> ~g      d)
#
#         PDG            Width
DECAY   2000001     2.85812308E-01   # sdown_R decays
#          BR         NDA      ID1       ID2
     9.86529614E-01    2     1000022         1   # BR(~d_R -> ~chi_10 d)
     8.44510350E-03    2     1000023         1   # BR(~d_R -> ~chi_20 d)
     1.21172119E-03    2     1000025         1   # BR(~d_R -> ~chi_30 d)
     3.81356102E-03    2     1000035         1   # BR(~d_R -> ~chi_40 d)
     0.00000000E+00    2    -1000024         2   # BR(~d_R -> ~chi_1- u)
     0.00000000E+00    2    -1000037         2   # BR(~d_R -> ~chi_2- u)
     0.00000000E+00    2     1000021         1   # BR(~d_R -> ~g      d)
#
#         PDG            Width
DECAY   1000004     5.47719539E+00   # scharm_L decays
#          BR         NDA      ID1       ID2
     6.65240987E-03    2     1000022         4   # BR(~c_L -> ~chi_10 c)
     3.19051458E-01    2     1000023         4   # BR(~c_L -> ~chi_20 c)
     8.44929059E-04    2     1000025         4   # BR(~c_L -> ~chi_30 c)
     1.03485173E-02    2     1000035         4   # BR(~c_L -> ~chi_40 c)
     6.49499518E-01    2     1000024         3   # BR(~c_L -> ~chi_1+ s)
     1.36031676E-02    2     1000037         3   # BR(~c_L -> ~chi_2+ s)
     0.00000000E+00    2     1000021         4   # BR(~c_L -> ~g      c)
#
#         PDG            Width
DECAY   2000004     1.15297292E+00   # scharm_R decays
#          BR         NDA      ID1       ID2
     9.86377420E-01    2     1000022         4   # BR(~c_R -> ~chi_10 c)
     8.46640647E-03    2     1000023         4   # BR(~c_R -> ~chi_20 c)
     1.23894695E-03    2     1000025         4   # BR(~c_R -> ~chi_30 c)
     3.91722611E-03    2     1000035         4   # BR(~c_R -> ~chi_40 c)
     0.00000000E+00    2     1000024         3   # BR(~c_R -> ~chi_1+ s)
     0.00000000E+00    2     1000037         3   # BR(~c_R -> ~chi_2+ s)
     0.00000000E+00    2     1000021         4   # BR(~c_R -> ~g      c)
#
#         PDG            Width
DECAY   1000003     5.31278772E+00   # sstrange_L decays
#          BR         NDA      ID1       ID2
     2.32317969E-02    2     1000022         3   # BR(~s_L -> ~chi_10 s)
     3.10235077E-01    2     1000023         3   # BR(~s_L -> ~chi_20 s)
     1.52334771E-03    2     1000025         3   # BR(~s_L -> ~chi_30 s)
     1.48849798E-02    2     1000035         3   # BR(~s_L -> ~chi_40 s)
     6.06452481E-01    2    -1000024         4   # BR(~s_L -> ~chi_1- c)
     4.36723179E-02    2    -1000037         4   # BR(~s_L -> ~chi_2- c)
     0.00000000E+00    2     1000021         3   # BR(~s_L -> ~g      s)
#
#         PDG            Width
DECAY   2000003     2.85812308E-01   # sstrange_R decays
#          BR         NDA      ID1       ID2
     9.86529614E-01    2     1000022         3   # BR(~s_R -> ~chi_10 s)
     8.44510350E-03    2     1000023         3   # BR(~s_R -> ~chi_20 s)
     1.21172119E-03    2     1000025         3   # BR(~s_R -> ~chi_30 s)
     3.81356102E-03    2     1000035         3   # BR(~s_R -> ~chi_40 s)
     0.00000000E+00    2    -1000024         4   # BR(~s_R -> ~chi_1- c)
     0.00000000E+00    2    -1000037         4   # BR(~s_R -> ~chi_2- c)
     0.00000000E+00    2     1000021         3   # BR(~s_R -> ~g      s)
#
#         PDG            Width
DECAY   1000011     2.13682161E-01   # selectron_L decays
#          BR         NDA      ID1       ID2
     5.73155386E-01    2     1000022        11   # BR(~e_L -> ~chi_10 e-)
     1.64522579E-01    2     1000023        11   # BR(~e_L -> ~chi_20 e-)
     0.00000000E+00    2     1000025        11   # BR(~e_L -> ~chi_30 e-)
     0.00000000E+00    2     1000035        11   # BR(~e_L -> ~chi_40 e-)
     2.62322035E-01    2    -1000024        12   # BR(~e_L -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_L -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   2000011     2.16121626E-01   # selectron_R decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        11   # BR(~e_R -> ~chi_10 e-)
     0.00000000E+00    2     1000023        11   # BR(~e_R -> ~chi_20 e-)
     0.00000000E+00    2     1000025        11   # BR(~e_R -> ~chi_30 e-)
     0.00000000E+00    2     1000035        11   # BR(~e_R -> ~chi_40 e-)
     0.00000000E+00    2    -1000024        12   # BR(~e_R -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_R -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   1000013     2.13682161E-01   # smuon_L decays
#          BR         NDA      ID1       ID2
     5.73155386E-01    2     1000022        13   # BR(~mu_L -> ~chi_10 mu-)
     1.64522579E-01    2     1000023        13   # BR(~mu_L -> ~chi_20 mu-)
     0.00000000E+00    2     1000025        13   # BR(~mu_L -> ~chi_30 mu-)
     0.00000000E+00    2     1000035        13   # BR(~mu_L -> ~chi_40 mu-)
     2.62322035E-01    2    -1000024        14   # BR(~mu_L -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_L -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   2000013     2.16121626E-01   # smuon_R decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        13   # BR(~mu_R -> ~chi_10 mu-)
     0.00000000E+00    2     1000023        13   # BR(~mu_R -> ~chi_20 mu-)
     0.00000000E+00    2     1000025        13   # BR(~mu_R -> ~chi_30 mu-)
     0.00000000E+00    2     1000035        13   # BR(~mu_R -> ~chi_40 mu-)
     0.00000000E+00    2    -1000024        14   # BR(~mu_R -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_R -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   1000015     1.48327268E-01   # stau_1 decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        15   # BR(~tau_1 -> ~chi_10  tau-)
     0.00000000E+00    2     1000023        15   # BR(~tau_1 -> ~chi_20  tau-)
     0.00000000E+00    2     1000025        15   # BR(~tau_1 -> ~chi_30  tau-)
     0.00000000E+00    2     1000035        15   # BR(~tau_1 -> ~chi_40  tau-)
     0.00000000E+00    2    -1000024        16   # BR(~tau_1 -> ~chi_1-  nu_tau)
     0.00000000E+00    2    -1000037        16   # BR(~tau_1 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_1 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_1 -> ~nu_tauL W-)
#
#         PDG            Width
DECAY   2000015     2.69906096E-01   # stau_2 decays
#          BR         NDA      ID1       ID2
     5.96653046E-01    2     1000022        15   # BR(~tau_2 -> ~chi_10  tau-)
     1.54536760E-01    2     1000023        15   # BR(~tau_2 -> ~chi_20  tau-)
     0.00000000E+00    2     1000025        15   # BR(~tau_2 -> ~chi_30  tau-)
     0.00000000E+00    2     1000035        15   # BR(~tau_2 -> ~chi_40  tau-)
     2.48810195E-01    2    -1000024        16   # BR(~tau_2 -> ~chi_1-  nu_tau)
     0.00000000E+00    2    -1000037        16   # BR(~tau_2 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_2 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_2 -> ~nu_tauL W-)
     0.00000000E+00    2     1000015        25   # BR(~tau_2 -> ~tau_1 h)
     0.00000000E+00    2     1000015        35   # BR(~tau_2 -> ~tau_1 H)
     0.00000000E+00    2     1000015        36   # BR(~tau_2 -> ~tau_1 A)
     0.00000000E+00    2     1000015        23   # BR(~tau_2 -> ~tau_1 Z)
#
#         PDG            Width
DECAY   1000012     1.49881634E-01   # snu_eL decays
#          BR         NDA      ID1       ID2
     9.77700764E-01    2     1000022        12   # BR(~nu_eL -> ~chi_10 nu_e)
     8.11554922E-03    2     1000023        12   # BR(~nu_eL -> ~chi_20 nu_e)
     0.00000000E+00    2     1000025        12   # BR(~nu_eL -> ~chi_30 nu_e)
     0.00000000E+00    2     1000035        12   # BR(~nu_eL -> ~chi_40 nu_e)
     1.41836867E-02    2     1000024        11   # BR(~nu_eL -> ~chi_1+ e-)
     0.00000000E+00    2     1000037        11   # BR(~nu_eL -> ~chi_2+ e-)
#
#         PDG            Width
DECAY   1000014     1.49881634E-01   # snu_muL decays
#          BR         NDA      ID1       ID2
     9.77700764E-01    2     1000022        14   # BR(~nu_muL -> ~chi_10 nu_mu)
     8.11554922E-03    2     1000023        14   # BR(~nu_muL -> ~chi_20 nu_mu)
     0.00000000E+00    2     1000025        14   # BR(~nu_muL -> ~chi_30 nu_mu)
     0.00000000E+00    2     1000035        14   # BR(~nu_muL -> ~chi_40 nu_mu)
     1.41836867E-02    2     1000024        13   # BR(~nu_muL -> ~chi_1+ mu-)
     0.00000000E+00    2     1000037        13   # BR(~nu_muL -> ~chi_2+ mu-)
#
#         PDG            Width
DECAY   1000016     1.47518977E-01   # snu_tauL decays
#          BR         NDA      ID1       ID2
     9.85994529E-01    2     1000022        16   # BR(~nu_tauL -> ~chi_10 nu_tau)
     6.25129612E-03    2     1000023        16   # BR(~nu_tauL -> ~chi_20 nu_tau)
     0.00000000E+00    2     1000025        16   # BR(~nu_tauL -> ~chi_30 nu_tau)
     0.00000000E+00    2     1000035        16   # BR(~nu_tauL -> ~chi_40 nu_tau)
     7.75417479E-03    2     1000024        15   # BR(~nu_tauL -> ~chi_1+ tau-)
     0.00000000E+00    2     1000037        15   # BR(~nu_tauL -> ~chi_2+ tau-)
     0.00000000E+00    2    -1000015       -37   # BR(~nu_tauL -> ~tau_1+ H-)
     0.00000000E+00    2    -2000015       -37   # BR(~nu_tauL -> ~tau_2+ H-)
     0.00000000E+00    2    -1000015       -24   # BR(~nu_tauL -> ~tau_1+ W-)
     0.00000000E+00    2    -2000015       -24   # BR(~nu_tauL -> ~tau_2+ W-)
#
#         PDG            Width
DECAY   1000024     1.70414503E-02   # chargino1+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_1+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_1+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_1+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_1+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_1+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_1+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_1+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_1+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_1+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_1+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_1+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_1+ -> ~b_2*  t )
     0.00000000E+00    2     1000012       -11   # BR(~chi_1+ -> ~nu_eL  e+  )
     0.00000000E+00    2     1000014       -13   # BR(~chi_1+ -> ~nu_muL  mu+ )
     0.00000000E+00    2     1000016       -15   # BR(~chi_1+ -> ~nu_tau1 tau+)
     0.00000000E+00    2    -1000011        12   # BR(~chi_1+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_1+ -> ~e_R+    nu_e)
     0.00000000E+00    2    -1000013        14   # BR(~chi_1+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_1+ -> ~mu_R+   nu_mu)
     9.25161117E-01    2    -1000015        16   # BR(~chi_1+ -> ~tau_1+  nu_tau)
     0.00000000E+00    2    -2000015        16   # BR(~chi_1+ -> ~tau_2+  nu_tau)
     7.48388828E-02    2     1000022        24   # BR(~chi_1+ -> ~chi_10  W+)
     0.00000000E+00    2     1000023        24   # BR(~chi_1+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_1+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_1+ -> ~chi_40  W+)
     0.00000000E+00    2     1000022        37   # BR(~chi_1+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_1+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_1+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_1+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000037     2.48689510E+00   # chargino2+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_2+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_2+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_2+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_2+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_2+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_2+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_2+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_2+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_2+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_2+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_2+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_2+ -> ~b_2*  t )
     2.00968837E-02    2     1000012       -11   # BR(~chi_2+ -> ~nu_eL  e+  )
     2.00968837E-02    2     1000014       -13   # BR(~chi_2+ -> ~nu_muL  mu+ )
     2.74507395E-02    2     1000016       -15   # BR(~chi_2+ -> ~nu_tau1 tau+)
     5.20406111E-02    2    -1000011        12   # BR(~chi_2+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_2+ -> ~e_R+    nu_e)
     5.20406111E-02    2    -1000013        14   # BR(~chi_2+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_2+ -> ~mu_R+   nu_mu)
     2.82859898E-04    2    -1000015        16   # BR(~chi_2+ -> ~tau_1+  nu_tau)
     5.66729336E-02    2    -2000015        16   # BR(~chi_2+ -> ~tau_2+  nu_tau)
     2.31513269E-01    2     1000024        23   # BR(~chi_2+ -> ~chi_1+  Z )
     6.76715120E-02    2     1000022        24   # BR(~chi_2+ -> ~chi_10  W+)
     2.93654849E-01    2     1000023        24   # BR(~chi_2+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_2+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_2+ -> ~chi_40  W+)
     1.78478848E-01    2     1000024        25   # BR(~chi_2+ -> ~chi_1+  h )
     0.00000000E+00    2     1000024        35   # BR(~chi_2+ -> ~chi_1+  H )
     0.00000000E+00    2     1000024        36   # BR(~chi_2+ -> ~chi_1+  A )
     0.00000000E+00    2     1000022        37   # BR(~chi_2+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_2+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_2+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_2+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000022     0.00000000E+00   # neutralino1 decays
#
#         PDG            Width
DECAY   1000023     2.07770048E-02   # neutralino2 decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000022        23   # BR(~chi_20 -> ~chi_10   Z )
     0.00000000E+00    2     1000024       -24   # BR(~chi_20 -> ~chi_1+   W-)
     0.00000000E+00    2    -1000024        24   # BR(~chi_20 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_20 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_20 -> ~chi_2-   W+)
     0.00000000E+00    2     1000022        25   # BR(~chi_20 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_20 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_20 -> ~chi_10   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_20 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_20 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_20 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_20 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_20 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_20 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_20 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_20 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_20 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_20 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_20 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_20 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_20 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_20 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_20 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_20 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_20 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_20 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_20 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_20 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_20 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_20 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_20 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_20 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_20 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_20 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_20 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_20 -> ~b_2*     b )
     0.00000000E+00    2     1000011       -11   # BR(~chi_20 -> ~e_L-     e+)
     0.00000000E+00    2    -1000011        11   # BR(~chi_20 -> ~e_L+     e-)
     2.95071995E-02    2     2000011       -11   # BR(~chi_20 -> ~e_R-     e+)
     2.95071995E-02    2    -2000011        11   # BR(~chi_20 -> ~e_R+     e-)
     0.00000000E+00    2     1000013       -13   # BR(~chi_20 -> ~mu_L-    mu+)
     0.00000000E+00    2    -1000013        13   # BR(~chi_20 -> ~mu_L+    mu-)
     2.95071995E-02    2     2000013       -13   # BR(~chi_20 -> ~mu_R-    mu+)
     2.95071995E-02    2    -2000013        13   # BR(~chi_20 -> ~mu_R+    mu-)
     4.40985601E-01    2     1000015       -15   # BR(~chi_20 -> ~tau_1-   tau+)
     4.40985601E-01    2    -1000015        15   # BR(~chi_20 -> ~tau_1+   tau-)
     0.00000000E+00    2     2000015       -15   # BR(~chi_20 -> ~tau_2-   tau+)
     0.00000000E+00    2    -2000015        15   # BR(~chi_20 -> ~tau_2+   tau-)
     0.00000000E+00    2     1000012       -12   # BR(~chi_20 -> ~nu_eL    nu_eb)
     0.00000000E+00    2    -1000012        12   # BR(~chi_20 -> ~nu_eL*   nu_e )
     0.00000000E+00    2     1000014       -14   # BR(~chi_20 -> ~nu_muL   nu_mub)
     0.00000000E+00    2    -1000014        14   # BR(~chi_20 -> ~nu_muL*  nu_mu )
     0.00000000E+00    2     1000016       -16   # BR(~chi_20 -> ~nu_tau1  nu_taub)
     0.00000000E+00    2    -1000016        16   # BR(~chi_20 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000025     1.91598495E+00   # neutralino3 decays
#          BR         NDA      ID1       ID2
     1.13226601E-01    2     1000022        23   # BR(~chi_30 -> ~chi_10   Z )
     2.11969194E-01    2     1000023        23   # BR(~chi_30 -> ~chi_20   Z )
     2.95329778E-01    2     1000024       -24   # BR(~chi_30 -> ~chi_1+   W-)
     2.95329778E-01    2    -1000024        24   # BR(~chi_30 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_30 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_30 -> ~chi_2-   W+)
     2.13076490E-02    2     1000022        25   # BR(~chi_30 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_30 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_30 -> ~chi_10   A )
     1.24538329E-02    2     1000023        25   # BR(~chi_30 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_30 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_30 -> ~chi_20   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_30 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_30 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_30 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_30 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_30 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_30 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_30 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_30 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_30 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_30 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_30 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_30 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_30 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_30 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_30 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_30 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_30 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_30 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_30 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_30 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_30 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_30 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_30 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_30 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_30 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_30 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_30 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_30 -> ~b_2*     b )
     5.57220455E-04    2     1000011       -11   # BR(~chi_30 -> ~e_L-     e+)
     5.57220455E-04    2    -1000011        11   # BR(~chi_30 -> ~e_L+     e-)
     1.25266782E-03    2     2000011       -11   # BR(~chi_30 -> ~e_R-     e+)
     1.25266782E-03    2    -2000011        11   # BR(~chi_30 -> ~e_R+     e-)
     5.57220455E-04    2     1000013       -13   # BR(~chi_30 -> ~mu_L-    mu+)
     5.57220455E-04    2    -1000013        13   # BR(~chi_30 -> ~mu_L+    mu-)
     1.25266782E-03    2     2000013       -13   # BR(~chi_30 -> ~mu_R-    mu+)
     1.25266782E-03    2    -2000013        13   # BR(~chi_30 -> ~mu_R+    mu-)
     5.26279239E-03    2     1000015       -15   # BR(~chi_30 -> ~tau_1-   tau+)
     5.26279239E-03    2    -1000015        15   # BR(~chi_30 -> ~tau_1+   tau-)
     6.72814564E-03    2     2000015       -15   # BR(~chi_30 -> ~tau_2-   tau+)
     6.72814564E-03    2    -2000015        15   # BR(~chi_30 -> ~tau_2+   tau-)
     3.18920485E-03    2     1000012       -12   # BR(~chi_30 -> ~nu_eL    nu_eb)
     3.18920485E-03    2    -1000012        12   # BR(~chi_30 -> ~nu_eL*   nu_e )
     3.18920485E-03    2     1000014       -14   # BR(~chi_30 -> ~nu_muL   nu_mub)
     3.18920485E-03    2    -1000014        14   # BR(~chi_30 -> ~nu_muL*  nu_mu )
     3.20245934E-03    2     1000016       -16   # BR(~chi_30 -> ~nu_tau1  nu_taub)
     3.20245934E-03    2    -1000016        16   # BR(~chi_30 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000035     2.58585079E+00   # neutralino4 decays
#          BR         NDA      ID1       ID2
     2.15369294E-02    2     1000022        23   # BR(~chi_40 -> ~chi_10   Z )
     1.85499971E-02    2     1000023        23   # BR(~chi_40 -> ~chi_20   Z )
     0.00000000E+00    2     1000025        23   # BR(~chi_40 -> ~chi_30   Z )
     2.49541430E-01    2     1000024       -24   # BR(~chi_40 -> ~chi_1+   W-)
     2.49541430E-01    2    -1000024        24   # BR(~chi_40 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_40 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_40 -> ~chi_2-   W+)
     6.93213268E-02    2     1000022        25   # BR(~chi_40 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_40 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_40 -> ~chi_10   A )
     1.47602336E-01    2     1000023        25   # BR(~chi_40 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_40 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_40 -> ~chi_20   A )
     0.00000000E+00    2     1000025        25   # BR(~chi_40 -> ~chi_30   h )
     0.00000000E+00    2     1000025        35   # BR(~chi_40 -> ~chi_30   H )
     0.00000000E+00    2     1000025        36   # BR(~chi_40 -> ~chi_30   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_40 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_40 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_40 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_40 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_40 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_40 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_40 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_40 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_40 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_40 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_40 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_40 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_40 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_40 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_40 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_40 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_40 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_40 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_40 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_40 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_40 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_40 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_40 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_40 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_40 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_40 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_40 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_40 -> ~b_2*     b )
     9.64835418E-03    2     1000011       -11   # BR(~chi_40 -> ~e_L-     e+)
     9.64835418E-03    2    -1000011        11   # BR(~chi_40 -> ~e_L+     e-)
     3.75684470E-03    2     2000011       -11   # BR(~chi_40 -> ~e_R-     e+)
     3.75684470E-03    2    -2000011        11   # BR(~chi_40 -> ~e_R+     e-)
     9.64835418E-03    2     1000013       -13   # BR(~chi_40 -> ~mu_L-    mu+)
     9.64835418E-03    2    -1000013        13   # BR(~chi_40 -> ~mu_L+    mu-)
     3.75684470E-03    2     2000013       -13   # BR(~chi_40 -> ~mu_R-    mu+)
     3.75684470E-03    2    -2000013        13   # BR(~chi_40 -> ~mu_R+    mu-)
     2.68215241E-03    2     1000015       -15   # BR(~chi_40 -> ~tau_1-   tau+)
     2.68215241E-03    2    -1000015        15   # BR(~chi_40 -> ~tau_1+   tau-)
     1.62289809E-02    2     2000015       -15   # BR(~chi_40 -> ~tau_2-   tau+)
     1.62289809E-02    2    -2000015        15   # BR(~chi_40 -> ~tau_2+   tau-)
     2.53796547E-02    2     1000012       -12   # BR(~chi_40 -> ~nu_eL    nu_eb)
     2.53796547E-02    2    -1000012        12   # BR(~chi_40 -> ~nu_eL*   nu_e )
     2.53796547E-02    2     1000014       -14   # BR(~chi_40 -> ~nu_muL   nu_mub)
     2.53796547E-02    2    -1000014        14   # BR(~chi_40 -> ~nu_muL*  nu_mu )
     2.54724352E-02    2     1000016       -16   # BR(~chi_40 -> ~nu_tau1  nu_taub)
     2.54724352E-02    2    -1000016        16   # BR(~chi_40 -> ~nu_tau1* nu_tau )
pythia8-8.1.86.orig/examples/w+_production_lhc_2.lhe0000644000175000017500000036601512357054722020527 0ustar  sunsun

      


# MG/ME version    : 4.4.48
# madgraph version : 4.4.5
# template version : 2.4.25
# helas version    : 3.8
# model version    : sm_1.2.1


#*********************************************************************
#                        MadGraph/MadEvent                           *
#                   http://madgraph.hep.uiuc.edu                     *
#                                                                    *
#                          proc_card.dat                             *
#                                                                    *
# This file is used to generate the code for a specific process.     *
# Some notation/conventions:                                         *
#                                                                    *
# 0. Do not modify the TAGS and their order.                         *
# 1. hash/pound is a comment.                                        *
# 2. The number after the @ is used as an identifier for the class   *
#    of processes. It can be any positive integer.                   *
# 3. The number of lines for the max couplings depends on how many   *
#    different classes of couplings are present in the model         *
#    In the SM these are just two: QED (which include EW) and QCD    *
# 4. Write "end_coup" after  the couplings list,                     *
#    to tell MG that the couplings input is over.                    *
# 5. Write "done" after the proc list to                             *
#    to tell MG that the proc input is over.                         *
# 6. Some model names available at present are:                      *
#    sm     =  Standard Model                                        *
#    smckm =  Standard Model with Cabibbo matrix                     *
#    mssm   =  Minimal Supersymmetric Standard Model                 *
#    2hdm   =  Generic Two Higgs Doublet model                       *
#    heft   =  Higgs EFT (+Standard Model)                           *
#    usrmod =  User Model                                            *
# 7. Don't leave spaces between the particles name in the            *
#    definition of the multiparticles.                               *
#*********************************************************************
#*********************************************************************
# Process(es) requested : mg2 input                                  *
#*********************************************************************
# Begin PROCESS # This is TAG. Do not modify this line
pp>e+vejj  @1       # First Process
QCD=99             # Max QCD couplings
QED=2              # Max QED couplings
end_coup           # End the couplings input
done               # this tells MG there are no more procs
# End PROCESS  # This is TAG. Do not modify this line
#*********************************************************************
# Model information                                                  *
#*********************************************************************
# Begin MODEL  # This is TAG. Do not modify this line
sm           
# End   MODEL  # This is TAG. Do not modify this line
#*********************************************************************
# Start multiparticle definitions                                    *
#*********************************************************************
# Begin MULTIPARTICLES # This is TAG. Do not modify this line
P uu~dd~cc~ss~g
J uu~dd~cc~ss~g
L+ e+mu+
L- e-mu-
vl vevm
vl~ ve~vm~
# End  MULTIPARTICLES # This is TAG. Do not modify this line


#******************************************************************
#                      MadGraph/MadEvent                          *
#******************************************************************
#   Les Houches friendly file for the SM parameters of MadGraph   *
#        Spectrum and decay widths produced by SMCalc             *
#******************************************************************
#*Please note the following IMPORTANT issues:                     *
#                                                                 *
#0. REFRAIN from editing this file by hand! Some of the parame-   *
#   ters are not independent                                      *
#   (such as G_Fermi, alpha_em, sin(theta_W),MZ,MW) and serious   *
#   problems might be encountered (such as violation of unitarity *
#   or gauge invariance).  Always use a calculator.               *
#                                                                 *
#1. alpha_S(MZ) has been used in the calculation of the parameters*
#   but, for consistency, it will be reset by madgraph to the     *
#   value expected IF the pdfs for collisions with hadrons are    *
#   used. This value is KEPT by madgraph when no pdf are used     *
#   lpp(i)=0 .                                                    *
#                                                                 *
#2. Values of the charm and bottom kinematic (pole) masses are    *
#   those used in the matrix elements and phase space UNLESS they *
#   are set to ZERO from the start in the model (particles.dat)   *
#   This happens, for example,  when using 5-flavor QCD where     *
#   charm and bottom are treated as partons in the initial state  *
#   and a zero mass might be hardwired in the model definition.   *
#                                                                 *
#******************************************************************
Block SMINPUTS      # Standard Model inputs
     1         1.32506980E+02   # alpha_em(MZ)(-1) SM MSbar
     2         1.16639000E-05   # G_Fermi
     3         1.18000000E-01   # alpha_s(MZ) SM MSbar
     4         9.11880000E+01   # Z mass (as input parameter)
Block MGYUKAWA     # Yukawa masses m/v=y/sqrt(2)
#    PDG          YMASS
     5         4.20000000E+00   # mbottom for the Yukawa  y_b
     4         1.42000000E+00   # mcharm  for the Yukawa  y_c
     6         1.64500000E+02   # mtop    for the Yukawa  y_t
    15         1.77700000E+00   # mtau    for the Yukawa  y_ta
Block MGCKM     # CKM elements for MadGraph
     1   1     9.75000000E-01   # Vud for Cabibbo matrix
Block MASS      #  Mass spectrum (kinematic masses)
#       PDG       Mass
         5     4.70000000E+00   # bottom   pole mass
         6     1.74300000E+02   # top      pole mass
        15     1.77700000E+00   # tau      mass
        23     9.11880000E+01   # Z        mass
        24     8.04190000E+01   # W        mass
        25     1.20000000E+02   # H        mass
#            PDG       Width
DECAY         6     1.50833649E+00   # top width
DECAY        23     2.44140351E+00   # Z   width
DECAY        24     2.04759951E+00   # W   width
DECAY        25     5.75308848E-03   # H   width
#        BR           NDA        ID1       ID2
     8.27451012E-02    2           4        -4   # BR( H -> c  cbar  )
     7.17809696E-01    2           5        -5   # BR( H -> b  bbar  )
     0.00000000E+00    2           6        -6   # BR( H -> t  tbar  )
     4.31720144E-02    2          15       -15   # BR( H -> tau- tau+)
     6.90597075E-03    2          23        23   # BR( H -> Z   Z^(*))
     7.45906395E-02    2          24       -24   # BR( H -> W   W^(*))
     3.01765558E-02    2          21        21   # BR( H -> g   g    )
     1.42800773E-03    2          22        22   # BR( H -> A   A    )


#*********************************************************************
#                       MadGraph/MadEvent                            *
#                  http://madgraph.hep.uiuc.edu                      *
#                                                                    *
#                        run_card.dat                                *
#                                                                    *
#  This file is used to set the parameters of the run.               *
#                                                                    *
#  Some notation/conventions:                                        *
#                                                                    *
#   Lines starting with a '# ' are info or comments                  *
#                                                                    *
#   mind the format:   value    = variable     ! comment             *
#*********************************************************************
#
#*******************                                                 
# Running parameters
#*******************                                                 
#                                                                    
#*********************************************************************
# Tag name for the run (one word)                                    *
#*********************************************************************
  'fermi'     = run_tag ! name of the run 
#*********************************************************************
# Run to generate the grid pack                                      *
#*********************************************************************
  .false.     = gridpack  !True = setting up the grid pack
#*********************************************************************
# Number of events and rnd seed                                      *
#*********************************************************************
  100         = nevents ! Number of unweighted events requested 
     25531 = iseed   ! rnd seed (0=assigned automatically=default))
#*********************************************************************
# Collider type and energy                                           *
#*********************************************************************
        1     = lpp1  ! beam 1 type (0=NO PDF)
        1    = lpp2  ! beam 2 type (0=NO PDF)
   3500.0    = ebeam1  ! beam 1 energy in GeV
   3500.0    = ebeam2  ! beam 2 energy in GeV
#*********************************************************************
# Beam polarization from -100 (left-handed) to 100 (right-handed)    *
#*********************************************************************
        0     = polbeam1 ! beam polarization for beam 1
        0     = polbeam2 ! beam polarization for beam 2
#*********************************************************************
# PDF CHOICE: this automatically fixes also alpha_s and its evol.    *
#*********************************************************************
# 'cteq6_l'    = pdlabel     ! PDF set  
 'lhapdf'    = pdlabel        ! PDF label
 10042       = lhaid          ! PDF set 
#*********************************************************************
# Renormalization and factorization scales                           *
#*********************************************************************
 T        = fixed_ren_scale  ! if .true. use fixed ren scale
 T        = fixed_fac_scale  ! if .true. use fixed fac scale
 91.188	  = scale            ! fixed ren scale
 80.4     = dsqrt_q2fact1    ! fixed fact scale for pdf1
 80.4     = dsqrt_q2fact2    ! fixed fact scale for pdf2
 1        = scalefact        ! scale factor for event-by-event scales
#*********************************************************************
# Matching - Warning! ickkw > 0 is still beta
#*********************************************************************
 0        = ickkw            ! 0 no matching, 1 MLM, 2 CKKW matching
 1        = highestmult      ! for ickkw=2, highest mult group
 1        = ktscheme         ! for ickkw=1, 1 Durham kT, 2 Pythia pTE
 1        = alpsfact         ! scale factor for QCD emission vx
 F        = chcluster        ! cluster only according to channel diag
 F        = pdfwgt           ! for ickkw=1, perform pdf reweighting
#*********************************************************************
#                                                                    
#**********************************
# BW cutoff (M+/-bwcutoff*Gamma)
#**********************************
  15d0  = bwcutoff
#*******************                                                 
# Standard Cuts
#*******************                                                 
#                                                                    
#*********************************************************************
# Minimum and maximum pt's                                           *
#*********************************************************************
 0d0 = ptj       ! minimum pt for the jets 
 0d0  = ptb       ! minimum pt for the b 
 0d0 = pta       ! minimum pt for the photons 
 0d0 = ptl       ! minimum pt for the charged leptons 
 0d0  = misset    ! minimum missing Et (sum of neutrino's momenta)
 0d0  = ptheavy   ! minimum pt for one heavy final state
 0d0 = ptonium   ! minimum pt for the quarkonium states
 1d9 = ptjmax    ! maximum pt for the jets
 1d9 = ptbmax    ! maximum pt for the b
 1d9 = ptamax    ! maximum pt for the photons
 1d9 = ptlmax    ! maximum pt for the charged leptons
 1d9 = missetmax ! maximum missing Et (sum of neutrino's momenta)
#*********************************************************************
# Minimum and maximum E's (in the lab frame)                         *
#*********************************************************************
 0d0  = ej     ! minimum E for the jets 
 0d0  = eb     ! minimum E for the b 
 0d0  = ea     ! minimum E for the photons 
 0d0  = el     ! minimum E for the charged leptons 
 1d9  = ejmax ! maximum E for the jets
 1d9  = ebmax ! maximum E for the b
 1d9  = eamax ! maximum E for the photons
 1d9  = elmax ! maximum E for the charged leptons
#*********************************************************************
# Maximum and minimum rapidity                                       *
#*********************************************************************
 1d9  = etaj    ! max rap for the jets 
 1d9  = etab    ! max rap for the b 
 1d9  = etaa    ! max rap for the photons 
 1d9  = etal    ! max rap for the charged leptons 
 1d9  = etaonium ! max rap for the quarkonium states
 0d0  = etajmin ! min rap for the jets
 0d0  = etabmin ! min rap for the b
 0d0  = etaamin ! min rap for the photons
 0d0  = etalmin ! main rap for the charged leptons
#*********************************************************************
# Minimum and maximum DeltaR distance                                *
#*********************************************************************
 0d0 = drjj    ! min distance between jets 
 0d0 = drbb    ! min distance between b's 
 0d0 = drll    ! min distance between leptons 
 0d0 = draa    ! min distance between gammas 
 0d0 = drbj    ! min distance between b and jet 
 0d0 = draj    ! min distance between gamma and jet 
 0d0 = drjl    ! min distance between jet and lepton 
 0d0 = drab    ! min distance between gamma and b 
 0d0 = drbl    ! min distance between b and lepton 
 0d0 = dral    ! min distance between gamma and lepton 
 1d9 = drjjmax ! max distance between jets
 1d9 = drbbmax ! max distance between b's
 1d9 = drllmax ! max distance between leptons
 1d9 = draamax ! max distance between gammas
 1d9 = drbjmax ! max distance between b and jet
 1d9 = drajmax ! max distance between gamma and jet
 1d9 = drjlmax ! max distance between jet and lepton
 1d9 = drabmax ! max distance between gamma and b
 1d9 = drblmax ! max distance between b and lepton
 1d9 = dralmax ! maxdistance between gamma and lepton
#*********************************************************************
# Minimum and maximum invariant mass for pairs                       *
#*********************************************************************
 0d0   = mmjj    ! min invariant mass of a jet pair 
 0d0   = mmbb    ! min invariant mass of a b pair 
 0d0   = mmaa    ! min invariant mass of gamma gamma pair
 0d0   = mmll    ! min invariant mass of l+l- (same flavour) lepton pair
 1d9   = mmjjmax ! max invariant mass of a jet pair
 1d9   = mmbbmax ! max invariant mass of a b pair
 1d9   = mmaamax ! max invariant mass of gamma gamma pair
 1d9   = mmllmax ! max invariant mass of l+l- (same flavour) lepton pair
#*********************************************************************
# Minimum and maximum invariant mass for all letpons                 *
#*********************************************************************
 0d0   = mmnl    ! min invariant mass for all letpons (l+- and vl) 
 1d9   = mmnlmax ! max invariant mass for all letpons (l+- and vl) 
#*********************************************************************
# Inclusive cuts                                                     *
#*********************************************************************
 0d0  = xptj ! minimum pt for at least one jet  
 0d0  = xptb ! minimum pt for at least one b 
 0d0  = xpta ! minimum pt for at least one photon 
 0d0  = xptl ! minimum pt for at least one charged lepton 
#*********************************************************************
# Control the pt's of the jets sorted by pt                          *
#*********************************************************************
 0d0   = ptj1min ! minimum pt for the leading jet in pt
 0d0   = ptj2min ! minimum pt for the second jet in pt
 0d0   = ptj3min ! minimum pt for the third jet in pt
 0d0   = ptj4min ! minimum pt for the fourth jet in pt
 1d9   = ptj1max ! maximum pt for the leading jet in pt 
 1d9   = ptj2max ! maximum pt for the second jet in pt
 1d9   = ptj3max ! maximum pt for the third jet in pt
 1d9   = ptj4max ! maximum pt for the fourth jet in pt
 0   = cutuse  ! reject event if fails any (0) / all (1) jet pt cuts
#*********************************************************************
# Control the Ht(k)=Sum of k leading jets                            *
#*********************************************************************
 0d0 = htjmin ! minimum jet HT=Sum(jet pt)
 1d9 = htjmax ! maximum jet HT=Sum(jet pt)
 0d0 = ht2min ! minimum Ht for the two leading jets
 0d0 = ht3min ! minimum Ht for the three leading jets
 0d0 = ht4min ! minimum Ht for the four leading jets
 1d9 = ht2max ! maximum Ht for the two leading jets
 1d9 = ht3max ! maximum Ht for the three leading jets
 1d9 = ht4max ! maximum Ht for the four leading jets
#*********************************************************************
# WBF cuts                                                           *
#*********************************************************************
 0   = xetamin ! minimum rapidity for two jets in the WBF case  
 0   = deltaeta ! minimum rapidity for two jets in the WBF case 
#*********************************************************************
# maximal pdg code for quark to be considered as a jet               *
# otherwise b cuts are applied                                       *
#*********************************************************************
 4 = maxjetflavor
#*********************************************************************
# Jet measure cuts                                                   *
#*********************************************************************
 0   = xqcut   ! minimum kt jet measure between partons
#*********************************************************************
 30d0  = ktdurham    ! minimum durham kt jet measure between partons
 0.4   = dparameter  ! D parameter for hadronic kT
 T     = dokt        ! T: enable durham kt cut
#*********************************************************************


#  Number of Events        :         100
#  Integrated weight (pb)  :  .14364E+03
#  Truncated wgt (pb)      :  .33911E+00
#  Unit wgt                :  .14364E+01


      

     2212     2212  0.35000000000E+04  0.35000000000E+04 0 0 10042 10042 3  1
  0.14364000000E+03  0.22892000000E+02  0.14364000000E+01   1


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.12445661806E+03  0.12445661806E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.83658800179E+03  0.83658800179E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.36481067053E+02 -0.11381786397E+03 -0.40635105062E+03  0.43130873836E+03  0.81367542855E+02 0.  0.
      -11    1    3    3    0    0 -0.19230533854E+02 -0.76117812777E+02 -0.13001840708E+03  0.15188324804E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17250533200E+02 -0.37700051198E+02 -0.27633264354E+03  0.27942549032E+03  0.00000000000E+00 0. -1.
        2    1    1    2  502    0  0.11241185340E+03  0.81335386120E+02  0.62594572251E+02  0.15221678716E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.75930786342E+02  0.32482477855E+02 -0.36837490536E+03  0.37751909433E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10196056713E+03  0.10196056713E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.12817175353E+03  0.12817175353E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.25089597872E+02  0.15355294877E+02 -0.52367837400E+02  0.10131029773E+03  0.81585004939E+02 0.  0.
      -11    1    3    3    0    0 -0.29973574745E+02 -0.51425790837E+01 -0.68384868912E+02  0.74842177940E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.48839768734E+01  0.20497873961E+02  0.16017031512E+02  0.26468119795E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.42724633456E+02 -0.56638472062E+00 -0.18208506603E+02  0.46446364856E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.67814231328E+02 -0.14788910157E+02  0.44365157605E+02  0.82375658077E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.17024516624E+02  0.17024516624E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.14009935504E+04  0.14009935504E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.68155630538E+02  0.28426620245E+02 -0.35406731981E+03  0.37042551135E+03  0.79988310344E+02 0.  0.
      -11    1    3    3    0    0 -0.46747594686E+02 -0.18573217095E+02 -0.11002912538E+03  0.12098227322E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21408035852E+02  0.46999837339E+02 -0.24403819443E+03  0.24944323813E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.42597355292E+02  0.59996774161E+02 -0.73467085209E+03  0.73834640143E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.25558275246E+02 -0.88423394406E+02 -0.29523086189E+03  0.30924615425E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.45803314715E+02  0.45803314715E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.16319962968E+04  0.16319962968E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.14143440409E+01  0.38910250130E+01 -0.15494495170E+04  0.15518328974E+04  0.85874299954E+02 0.  0.
      -11    1    3    3    0    0  0.91229807113E+01 -0.37723404207E+02 -0.97971202901E+03  0.98048046579E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10537324752E+02  0.41614429220E+02 -0.56973748799E+03  0.57135243166E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.27097869093E+02  0.17795499877E+02 -0.70951481730E+02  0.78006968182E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.25683525052E+02 -0.21686524890E+02  0.34208016661E+02  0.47959745880E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15112765353E+02  0.15112765353E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13441441809E+04  0.13441441809E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.68448242621E+02 -0.78193747324E+02 -0.83840738800E+03  0.84873706167E+03  0.81413927264E+02 0.  0.
      -11    1    3    3    0    0 -0.12317232145E+02  0.16092509209E+02 -0.85092022630E+02  0.87471911924E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.56131010477E+02 -0.94286256533E+02 -0.75331536537E+03  0.76126514974E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.53543654241E+01  0.67290518567E+02 -0.34345157504E+03  0.35002238144E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.63093877197E+02  0.10903228757E+02 -0.14717245251E+03  0.16049750314E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15984681322E+03  0.15984681322E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.14709039464E+03  0.14709039464E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.19050808192E+01  0.23018644986E+02 -0.10965457585E+03  0.12492149629E+03  0.55206583675E+02 0.  0.
      -11    1    3    3    0    0  0.60348497130E+01  0.38087336539E+02 -0.51585296709E+02  0.64405802939E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.79399305323E+01 -0.15068691553E+02 -0.58069279141E+02  0.60515693352E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.35845464566E+02 -0.29719727422E+01 -0.14354177698E+02  0.38726894651E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.37750545385E+02 -0.20046672243E+02  0.13676517213E+03  0.14328881692E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.41565756951E+02  0.41565756951E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.63605837403E+03  0.63605837403E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.10405305211E+02  0.31782327350E+01 -0.16160990186E+03  0.18052586441E+03  0.79708567934E+02 0.  0.
      -11    1    3    3    0    0  0.42708217079E+02 -0.59049778731E+01 -0.11709623180E+03  0.12478136107E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.32302911867E+02  0.90832106081E+01 -0.44513670062E+02  0.55744503338E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.17054966919E+02 -0.34396342652E+02 -0.45036279533E+03  0.45199626957E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.27460272131E+02  0.31218109917E+02  0.17480080117E+02  0.45101996998E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12914335929E+03  0.12914335929E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.25875746425E+03  0.25875746425E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.35303710461E+02  0.49254790727E+01 -0.14131287356E+03  0.16250164565E+03  0.71880764382E+02 0.  0.
      -11    1    3    3    0    0 -0.84867079504E+01  0.25693602408E+02 -0.79343819657E+02  0.83830943775E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.43790418411E+02 -0.20768123335E+02 -0.61969053903E+02  0.78670701873E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.81289630105E+02 -0.19039622935E+02 -0.83911010325E+02  0.11837047291E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.45985919644E+02  0.14114143863E+02  0.95609778927E+02  0.10702870498E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00  0.96601472110E+03  0.96601472110E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.38415795904E+02  0.38415795904E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.15534325228E+02  0.12538707234E+03  0.14238264495E+03  0.20641326698E+03  0.79814698091E+02 0.  0.
      -11    1    3    3    0    0  0.38812996329E+02  0.66107980024E+02  0.11232307046E+03  0.13598965352E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.23278671101E+02  0.59279092320E+02  0.30059574493E+02  0.70423613464E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.27605812332E+02 -0.93819719055E+02  0.41977738254E+03  0.43101887597E+03  0.00000000000E+00 0.  1.
       -3    1    1    2    0  501  0.12071487104E+02 -0.31567353290E+02  0.36543889771E+03  0.36699837405E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.89281188562E+03  0.89281188562E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.39406019266E+03  0.39406019266E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.10403400821E+02  0.57868720703E+01  0.88190419512E+03  0.88561422717E+03  0.80098884779E+02 0.  0.
      -11    1    3    3    0    0 -0.30670867676E+02 -0.98824577347E-01  0.18933741022E+03  0.19180554424E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.41074268497E+02  0.58856966477E+01  0.69256678490E+03  0.69380868293E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.13732795060E+02 -0.43746975051E+02 -0.62772662010E+02  0.77735413951E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.24136195881E+02  0.37960102981E+02 -0.32037984016E+03  0.32352243716E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.85793903197E+03  0.85793903197E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.75347335803E+02  0.75347335803E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.48006941029E+02  0.96238139326E+01  0.71784564027E+03  0.72377977531E+03  0.78469839448E+02 0.  0.
      -11    1    3    3    0    0  0.17391031683E+02 -0.26044468681E+02  0.11766821786E+03  0.12176441117E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30615909346E+02  0.35668282613E+02  0.60017742241E+03  0.60201536414E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.27019731984E+02  0.27277468016E+02  0.10853325851E+03  0.11512425627E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.75026673012E+02 -0.36901281949E+02 -0.43787202619E+02  0.94382336197E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.97205405738E+02  0.97205405738E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13187542356E+03  0.13187542356E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.54702806713E+02 -0.47619161994E+02  0.27033115133E+02  0.11243206468E+03  0.81548747399E+02 0.  0.
      -11    1    3    3    0    0 -0.12740519662E+02 -0.43242909562E+01 -0.27831323570E+02  0.30912827518E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.41962287050E+02 -0.43294871038E+02  0.54864438702E+02  0.81519237158E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.24203825441E+02  0.44396748922E+02 -0.68591895035E+02  0.85215870267E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.30498981272E+02  0.32224130723E+01  0.68887620791E+01  0.31432894356E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.61323766245E+01  0.61323766245E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.18815895046E+04  0.18815895046E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14441912310E+02 -0.14902449158E+02 -0.14538682576E+04  0.14562557627E+04  0.80729698035E+02 0.  0.
      -11    1    3    3    0    0  0.27533703212E+02  0.26679208582E+02 -0.54826672668E+03  0.54960557545E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13091790902E+02 -0.41581657741E+02 -0.90560153096E+03  0.90665018730E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.24951435797E+02 -0.29901591022E+02 -0.11435152440E+03  0.12080128487E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.10509523487E+02  0.44804040180E+02 -0.30723734589E+03  0.31066483356E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.22317179134E+03  0.22317179134E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.36935414047E+03  0.36935414047E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.17202122900E+02 -0.19099040851E+02 -0.18818841718E+03  0.20621480618E+03  0.80305538643E+02 0.  0.
      -11    1    3    3    0    0  0.36764659520E+02 -0.38316866578E+02 -0.15058877131E+03  0.15967717588E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19562536620E+02  0.19217825727E+02 -0.37599645871E+02  0.46537630304E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.14228438812E+02 -0.43198503233E+02 -0.16445873513E+03  0.17063186899E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502 -0.29736840886E+01  0.62297544084E+02  0.20646480317E+03  0.21567925664E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00  0.31192566359E+02  0.31192566359E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.96008083616E+03  0.96008083616E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.48826301223E+02 -0.49790450299E+02 -0.57454108731E+03  0.58536061409E+03  0.87672634804E+02 0.  0.
      -11    1    3    3    0    0 -0.60103336447E+01 -0.64618111803E+02 -0.38837510034E+03  0.39375987994E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.42815967578E+02  0.14827661504E+02 -0.18616598697E+03  0.19160073416E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.53604756788E+01 -0.36137369654E+02 -0.27391338721E+03  0.27633890041E+03  0.00000000000E+00 0. -1.
       -1    1    1    2    0  501  0.54186776902E+02  0.85927819953E+02 -0.80433795281E+02  0.12957388802E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00  0.87296282249E+02  0.87296282249E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.11946477802E+04  0.11946477802E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.91588949058E+02 -0.29514842686E+02 -0.87803292860E+03  0.88691955482E+03  0.80154921707E+02 0.  0.
      -11    1    3    3    0    0 -0.87788735853E+01  0.11142073085E+02 -0.55289283237E+02  0.57079937411E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10036782264E+03 -0.40656915771E+02 -0.82274364537E+03  0.82983961740E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.30166254957E+02  0.15063456155E+03 -0.20640501565E+03  0.25730099991E+03  0.00000000000E+00 0. -1.
       -3    1    1    2    0  501 -0.61422694102E+02 -0.12111971886E+03 -0.22913553748E+02  0.13772350777E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.93607590294E+03  0.93607590294E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.16239574562E+02  0.16239574562E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.56860638122E+02  0.43018355958E+02  0.36362054419E+03  0.37928079829E+03  0.80934002001E+02 0.  0.
      -11    1    3    3    0    0 -0.18680634074E+02  0.24477150671E+02  0.30062339256E+02  0.43033024945E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.38180004048E+02  0.18541205287E+02  0.33355820493E+03  0.33624777335E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.25677262428E+02 -0.41696797007E+02  0.67865037061E+02  0.83687561451E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.31183375695E+02 -0.13215589516E+01  0.48835074713E+03  0.48934711776E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.62315899112E+03  0.62315899112E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.32746737937E+02  0.32746737937E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.87674843479E+01  0.34733854425E+02  0.36480550598E+03  0.37490351493E+03  0.78652901320E+02 0.  0.
      -11    1    3    3    0    0  0.78445059168E+01  0.57173118969E+02  0.26856199968E+03  0.27469228143E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16611990265E+02 -0.22439264543E+02  0.96243506301E+02  0.10021123350E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.44891619851E+02 -0.62320800013E+02  0.22256775389E+03  0.23544754133E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.36124135503E+02  0.27586945588E+02  0.30389933047E+01  0.45554672790E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.11729905956E+04  0.11729905956E+04  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.13546293111E+02  0.13546293111E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.33764556976E+02  0.50684586739E+02  0.37663609632E+03  0.39042089868E+03  0.82853825709E+02 0.  0.
      -11    1    3    3    0    0  0.11730545935E+02  0.15570980515E+02  0.10885065049E+02  0.22328138822E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22034011041E+02  0.35113606224E+02  0.36575103127E+03  0.36809275986E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.45577136595E+02 -0.51969182295E+00  0.36841279465E+03  0.37122167599E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.79341693571E+02 -0.50164894916E+02  0.41439541156E+03  0.42489431408E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00  0.91143344512E+02  0.91143344512E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.78797813574E+03  0.78797813574E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.61241397823E+02 -0.53728519759E+02 -0.32995409710E+02  0.11908589551E+03  0.80346068999E+02 0.  0.
      -11    1    3    3    0    0 -0.58748938969E+02 -0.52784945050E+02 -0.55432758299E+02  0.96490823121E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24924588540E+01 -0.94357470955E+00  0.22437348589E+02  0.22595072385E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.28325088084E+02  0.84280203408E+02 -0.69798117824E+03  0.70362148097E+03  0.00000000000E+00 0. -1.
       -1    1    1    2    0  501  0.32916309739E+02 -0.30551683649E+02  0.34141796728E+02  0.56414103772E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.71852644224E+03  0.71852644224E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.11176121174E+03  0.11176121174E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.43085581779E+02  0.19599369717E+03  0.68837988816E+02  0.22598850151E+03  0.77860371322E+02 0.  0.
      -11    1    3    3    0    0 -0.33722108507E+02  0.18483807733E+03  0.37730051376E+02  0.19163990245E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.93634732719E+01  0.11155619841E+02  0.31107937440E+02  0.34348599062E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503  0.66963540783E+02 -0.17723927943E+02  0.53392679836E+02  0.87458742708E+02  0.00000000000E+00 0.  1.
        3    1    1    2  501    0 -0.23877959004E+02 -0.17826976923E+03  0.48453456184E+03  0.51684040976E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.36974938691E+02  0.36974938691E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.11284889942E+04  0.11284889942E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.30145228262E+02  0.33373357519E+02 -0.83017765535E+03  0.83523533553E+03  0.80003815511E+02 0.  0.
      -11    1    3    3    0    0 -0.34101182479E+02 -0.19145010824E+02 -0.35688337212E+03  0.35901972562E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.39559542177E+01  0.52518368343E+02 -0.47329428323E+03  0.47621560992E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.43266832789E+02 -0.12736117877E+02 -0.24891227300E+03  0.25296550589E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.73412061051E+02 -0.20637239642E+02 -0.12424127153E+02  0.77263091469E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.14668152325E+02  0.14668152325E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.83660728388E+03  0.83660728388E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.58116954411E+02 -0.11858290357E+01 -0.71368449868E+03  0.72054344358E+03  0.80363572897E+02 0.  0.
      -11    1    3    3    0    0  0.68563491498E+02  0.66839222001E+01 -0.35509357742E+03  0.36171408033E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10446537087E+02 -0.78697512358E+01 -0.35859092126E+03  0.35882936325E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.28144710661E+02  0.14003949344E+02 -0.85173933759E+02  0.90790056324E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.29972243750E+02 -0.12818120309E+02 -0.23080699112E+02  0.39941936297E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.75343161561E+02  0.75343161561E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.20180694061E+03  0.20180694061E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.31301517883E+02  0.52546116359E+02 -0.30735526038E+02  0.10658040233E+03  0.81693514028E+02 0.  0.
      -11    1    3    3    0    0  0.16191102218E+02 -0.10691625811E+02  0.17098981334E+02  0.25861898928E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15110415665E+02  0.63237742169E+02 -0.47834507372E+02  0.80718503404E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.44927985384E+02 -0.19478345708E+02 -0.77908060074E+01  0.49584538724E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.76229503268E+02 -0.33067770651E+02 -0.87937447002E+02  0.12098516111E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.20743693873E+02  0.20743693873E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.73537260828E+03  0.73537260828E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.73091604397E+02  0.30407149985E+02 -0.57303307783E+03  0.58391190461E+03  0.79493563589E+02 0.  0.
      -11    1    3    3    0    0  0.96563456662E+01  0.25215950951E+02 -0.95901237602E+02  0.99629998332E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.82747950063E+02  0.51911990339E+01 -0.47713184023E+03  0.48428190628E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.47141260125E+02 -0.36482702758E+01 -0.12033747596E+03  0.12929314136E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.25950344271E+02 -0.26758879710E+02 -0.21258360613E+02  0.42911256181E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.17824080409E+03  0.17824080409E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.18224670506E+04  0.18224670506E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.35956645665E+02 -0.57411875397E+02 -0.72039887144E+03  0.72812997758E+03  0.81300224304E+02 0.  0.
      -11    1    3    3    0    0  0.56657044021E+02 -0.34950933732E+02 -0.33673794268E+03  0.34325505159E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20700398356E+02 -0.22460941665E+02 -0.38366092877E+03  0.38487492599E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.45088904177E+02 -0.28599886192E+03 -0.87982401579E+03  0.92623898485E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.91322585118E+01  0.34341073732E+03 -0.44003359246E+02  0.34633889224E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.66658619277E+03  0.66658619277E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.17631255488E+03  0.17631255488E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.97087913148E+02 -0.10838205891E+02  0.12895640276E+03  0.18204005367E+03  0.83458359322E+02 0.  0.
      -11    1    3    3    0    0 -0.69524911863E+02  0.27443343866E+02  0.49545251757E+02  0.89674870860E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27563001285E+02 -0.38281549757E+02  0.79411151007E+02  0.92365182812E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503 -0.53978719089E+02  0.58233150561E+02 -0.12574095953E+03  0.14871311591E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.15106663224E+03 -0.47394944670E+02  0.48705819466E+03  0.51214557808E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.16715944500E+03  0.16715944500E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.34740054696E+03  0.34740054696E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.34698994981E+01 -0.35716333371E+02 -0.22445272923E+03  0.24142488852E+03  0.81358788512E+02 0.  0.
      -11    1    3    3    0    0 -0.12775476375E+02  0.17458622016E+02 -0.18344377719E+02  0.28364281645E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.93055768773E+01 -0.53174955387E+02 -0.20610835151E+03  0.21306060688E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.29649327149E+02  0.58496935850E+01 -0.10990447808E+03  0.11398375242E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.26179427651E+02  0.29866639786E+02  0.15411610534E+03  0.15915135101E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.39712765514E+03  0.39712765514E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.50888661548E+02  0.50888661548E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.26904565641E+02  0.58881394079E+02  0.17848469075E+03  0.20435072557E+03  0.75574863455E+02 0.  0.
      -11    1    3    3    0    0 -0.18317366757E+02  0.47725724014E+02  0.18265046775E+03  0.18966935447E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.85871988836E+01  0.11155670065E+02 -0.41657769953E+01  0.14681371095E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.47597897928E+02  0.28530892567E+02  0.87265710926E+02  0.10341603368E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.74502463569E+02 -0.87412286646E+02  0.80488591909E+02  0.14024955744E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.49395497958E+02  0.49395497958E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.29535958584E+03  0.29535958584E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.56202749864E+02  0.31248175389E+02 -0.15749055046E+03  0.18731835029E+03  0.78419980333E+02 0.  0.
      -11    1    3    3    0    0  0.86763869283E+01 -0.22487192525E+02 -0.16756436366E+02  0.29355266605E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47526362936E+02  0.53735367914E+02 -0.14073411409E+03  0.15796308369E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.81289868207E+02 -0.52850579528E+02 -0.62505549836E+02  0.11536104277E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.25087118343E+02  0.21602404138E+02 -0.25967987592E+02  0.42075690735E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.70616079412E+03  0.70616079412E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11869582602E+02  0.11869582602E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.52857652770E+01 -0.70601578872E+01  0.39777444598E+03  0.40547497371E+03  0.78151514883E+02 0.  0.
      -11    1    3    3    0    0 -0.16857362878E+02 -0.58847713271E+01  0.17427841971E+02  0.24950568983E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11571597601E+02 -0.11753865601E+01  0.38034660401E+03  0.38052440472E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.34597144435E+02  0.20324326658E+02  0.26319679594E+03  0.26623785240E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.29311379158E+02 -0.13264168770E+02  0.33319969587E+02  0.46317550610E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.11821719239E+04  0.11821719239E+04  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.11323815349E+02  0.11323815349E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.13669796407E+01 -0.21940886189E+02  0.72154050944E+03  0.72611812746E+03  0.78380846798E+02 0.  0.
      -11    1    3    3    0    0  0.22942660411E+02 -0.27370820972E+02  0.15185337784E+03  0.15599671749E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21575680771E+02  0.54299347834E+01  0.56968713161E+03  0.57012140997E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.61423068833E+02  0.19276974442E+02  0.19196309153E+03  0.20247030310E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.62790048474E+02  0.26639117463E+01  0.25734450761E+03  0.26490730871E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.14300131505E+04  0.14300131505E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.32258986715E+03  0.32258986715E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.14487732222E+02  0.73538795741E+00  0.13810745016E+04  0.13835846669E+04  0.82032409595E+02 0.  0.
      -11    1    3    3    0    0  0.12606289693E+02  0.17716990045E+01  0.31047997762E+02  0.33556454256E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18814425288E+01 -0.10363110471E+01  0.13500265038E+04  0.13500282126E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.59288246242E+02  0.72306751839E+02 -0.20952269391E+02  0.95824631993E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.73775978463E+02 -0.73042139797E+02 -0.25269894891E+03  0.27319371875E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.34883978285E+03  0.34883978285E+03  0.00000000000E+00 0. -1.
        4   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.20076875926E+03  0.20076875926E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.40443989560E+02  0.47893469595E+02 -0.10081406029E+03  0.14322983714E+03  0.80136201388E+02 0.  0.
      -11    1    3    3    0    0 -0.64491498904E+01 -0.21358568179E+02 -0.36560891187E+02  0.42830815231E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33994839669E+02  0.69252037774E+02 -0.64253169103E+02  0.10039902191E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.39819130630E+02  0.12146838034E+02 -0.70242096104E+02  0.81652072254E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.62485892954E+00 -0.60040307630E+02  0.31912717999E+03  0.32472663272E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.12982833756E+04  0.12982833756E+04  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.35319395015E+02  0.35319395015E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.67198943133E+02 -0.13858698058E+01  0.11135322484E+04  0.11183009326E+04  0.78264225351E+02 0.  0.
      -11    1    3    3    0    0  0.56287624802E+02  0.30747892377E+02  0.54585231797E+03  0.54960757148E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10911318331E+02 -0.32133762183E+02  0.56767993047E+03  0.56869336113E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.71046197979E+02 -0.57555340522E+02  0.64683200022E+02  0.11200042783E+03  0.00000000000E+00 0.  1.
        1    1    1    2  502    0  0.38472548457E+01  0.58941210328E+02  0.84748532092E+02  0.10330141014E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.72444392979E+03  0.72444392979E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.25910733426E+02  0.25910733426E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.76906720153E+01  0.13984667519E+02  0.34211300730E+03  0.35182048577E+03  0.80508552846E+02 0.  0.
      -11    1    3    3    0    0  0.26359884545E+02  0.20015049400E+02  0.69004971389E+02  0.76531900487E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34050556560E+02 -0.60303818804E+01  0.27310803591E+03  0.27528858528E+03  0.00000000000E+00 0. -1.
        2    1    1    2  502    0  0.28548560311E+02  0.78385599150E+02  0.15776153578E+03  0.17846014856E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.20857888296E+02 -0.92370266669E+02  0.19865865328E+03  0.22007402889E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.14724772838E+03  0.14724772838E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.15768647467E+04  0.15768647467E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.40928687469E+02 -0.52850486575E+01 -0.42474244449E+03  0.43409640395E+03  0.79564153833E+02 0.  0.
      -11    1    3    3    0    0 -0.17828448191E+02  0.16525301018E+02 -0.76837926041E+02  0.80591600163E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.58757135660E+02 -0.21810349676E+02 -0.34790451845E+03  0.35350480379E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.17813131094E+03 -0.31168547447E+02 -0.11028170207E+04  0.11175453563E+04  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.13720262347E+03  0.36453596105E+02  0.97942446898E+02  0.17247071479E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.11425842500E+04  0.11425842500E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.64568589163E+01  0.64568589163E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.32342960942E+00  0.48845955811E+01  0.53294675688E+03  0.53895232592E+03  0.80083706619E+02 0.  0.
      -11    1    3    3    0    0 -0.12868037151E+02  0.78684873179E+01  0.52147581291E+03  0.52169389772E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12544607542E+02 -0.29838917368E+01  0.11470943973E+02  0.17258428199E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.36617259855E+02 -0.22629890514E+02  0.18410392210E+03  0.18906927248E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.36293830245E+02  0.17745294933E+02  0.41907671213E+03  0.42101951055E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.53062999667E+03  0.53062999667E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.50898588673E+02  0.50898588673E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.72185703003E+02  0.34284100150E+02  0.39836717404E+03  0.41437261044E+03  0.81376161689E+02 0.  0.
      -11    1    3    3    0    0  0.40385920312E+01  0.12654936377E+02  0.69028447395E+01  0.14970200593E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.76224295034E+02  0.21629163773E+02  0.39146432930E+03  0.39940240985E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.64610637539E+02  0.35089478031E+02  0.25691040676E+02  0.77883474003E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.75750654640E+01 -0.69373578181E+02  0.55673193282E+02  0.89272500898E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.29835836113E+03  0.29835836113E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.78162591403E+02  0.78162591403E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.78696292762E+01 -0.48855964672E+00 -0.52262202412E+02  0.96547917393E+02  0.80795994929E+02 0.  0.
      -11    1    3    3    0    0  0.14459125514E+02  0.38758260512E+02 -0.25673567858E+02  0.48686765707E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.65894962373E+01 -0.39246820158E+02 -0.26588634554E+02  0.47861151686E+02  0.00000000000E+00 0. -1.
        2    1    1    2  502    0  0.74374128441E+01 -0.29449070076E+02  0.11318662262E+03  0.11719118729E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0 -0.15307042120E+02  0.29937629722E+02  0.15927134951E+03  0.16278184784E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.30678368488E+02  0.30678368488E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.10894148992E+04  0.10894148992E+04  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.57939481139E+02 -0.65154272215E+02 -0.74234859240E+03  0.75163387252E+03  0.79183224334E+02 0.  0.
      -11    1    3    3    0    0 -0.20984209381E+02 -0.26528315484E+02 -0.57413329703E+03  0.57512879543E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36955271758E+02 -0.38625956731E+02 -0.16821529537E+03  0.17650507709E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503  0.12052482873E+02  0.85018312032E+02 -0.30542977856E+03  0.31727074457E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.45886998266E+02 -0.19864039817E+02 -0.10958159775E+02  0.51188650631E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00  0.13239401379E+02  0.13239401379E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11300847054E+04  0.11300847054E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.37084502888E+02  0.74935854649E+02 -0.72314634827E+03  0.73254606158E+03  0.81807387565E+02 0.  0.
      -11    1    3    3    0    0  0.15915305772E+02 -0.75329571732E+01 -0.75742367179E+02  0.77762128234E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.52999808661E+02  0.82468811822E+02 -0.64740398109E+03  0.65478393335E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503  0.46410615669E+02 -0.12148508151E+02 -0.10902991989E+03  0.11911781953E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0 -0.93261127811E+01 -0.62787346498E+02 -0.28466903587E+03  0.29166022567E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.35153532858E+03  0.35153532858E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.11075045044E+03  0.11075045044E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.38124274753E+02  0.36266513222E+02 -0.62478774449E+02  0.11077718303E+03  0.74828248122E+02 0.  0.
      -11    1    3    3    0    0 -0.64840426331E+01 -0.17361373427E+02 -0.26366589263E+02  0.32228203882E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.44608317386E+02  0.53627886648E+02 -0.36112185186E+02  0.78548979149E+02  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.77425701169E+02 -0.78349722455E+02  0.13843369099E+03  0.17691044347E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.39301426416E+02  0.42083209233E+02  0.16482996161E+03  0.17459815251E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.29648052164E+02  0.29648052164E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.15759049858E+04  0.15759049858E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.14251216930E+03 -0.50149337835E+02 -0.59986482915E+03  0.62319651364E+03  0.75573850494E+02 0.  0.
      -11    1    3    3    0    0 -0.40602699180E+02 -0.42516032191E+01 -0.64837617182E+02  0.76619657481E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10190947012E+03 -0.45897734616E+02 -0.53502721197E+03  0.54657685616E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.18173756778E+03  0.51805543131E+02 -0.90795561053E+03  0.92741347226E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.39225398489E+02 -0.16562052964E+01 -0.38436493965E+02  0.54943052071E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.94697140240E+02  0.94697140240E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.16448659261E+03  0.16448659261E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.51258921995E+02  0.26978286055E+02  0.52384364346E+01  0.98621957684E+02  0.79646370405E+02 0.  0.
      -11    1    3    3    0    0 -0.51695267998E+02 -0.32116804614E+00  0.31665965906E+02  0.60623735278E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.43634600342E+00  0.27299454101E+02 -0.26427529472E+02  0.37998222406E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.64509219142E+02  0.62092799012E+01 -0.98427555082E+02  0.11784726603E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.13250297147E+02 -0.33187565956E+02  0.23399666279E+02  0.42714509134E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10378049840E+03  0.10378049840E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.12567601682E+04  0.12567601682E+04  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.48061216717E+01  0.10125463327E+03 -0.43759073733E+03  0.45716033827E+03  0.85054817178E+02 0.  0.
      -11    1    3    3    0    0 -0.20299612321E+02  0.10493241392E+03 -0.35948517188E+03  0.37503663095E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25105733993E+02 -0.36777806505E+01 -0.78105565443E+02  0.82123707314E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503  0.11177788078E+03  0.83457854253E+01 -0.73380031944E+03  0.74231183176E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0 -0.11658400245E+03 -0.10960041869E+03  0.18411386999E+02  0.16106849654E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15756785873E+03  0.15756785873E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.10897610652E+04  0.10897610652E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.45079993065E+01 -0.38580661892E+02 -0.71944266056E+03  0.72583643512E+03  0.87931787088E+02 0.  0.
      -11    1    3    3    0    0  0.15878656116E+02 -0.61587808427E+02 -0.54586645618E+03  0.54955925781E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20386655422E+02  0.23007146535E+02 -0.17357620438E+03  0.17627717730E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.31744736505E+02 -0.14306675163E+02 -0.35958589354E+03  0.36126780106E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.36252735812E+02  0.52887337055E+02  0.14683534759E+03  0.16022468779E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.19624483196E+03  0.19624483196E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18008654724E+03  0.18008654724E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.65814904305E+02 -0.15081178296E+03 -0.33545568615E+02  0.19102326240E+03  0.91042770703E+02 0.  0.
      -11    1    3    3    0    0 -0.68054594731E+02 -0.43897714954E+02 -0.18017127941E+02  0.82964173842E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22396904256E+01 -0.10691406801E+03 -0.15528440675E+02  0.10805908856E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.39288934989E+02  0.18285374019E+02  0.13459411498E+02  0.45377649493E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.26525969316E+02  0.13252640894E+03  0.36244441842E+02  0.13993046730E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10894433769E+04  0.10894433769E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.47304830431E+02  0.47304830431E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.86992132569E+01 -0.92595450172E+02  0.34449249483E+03  0.36572438041E+03  0.80185096687E+02 0.  0.
      -11    1    3    3    0    0 -0.28783280521E+02 -0.23708215504E+02  0.21002134280E+03  0.21330616763E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20084067264E+02 -0.68887234668E+02  0.13447115203E+03  0.15241821278E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503 -0.74971094879E+02 -0.55303673219E+02  0.59267451742E+02  0.11041644884E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0  0.83670308136E+02  0.14789912339E+03  0.63837859993E+03  0.66060737810E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.16826884092E+03  0.16826884092E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.84016776725E+03  0.84016776725E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.17372673352E+03  0.25714174826E+02 -0.24218759463E+03  0.30977535136E+03  0.80397391667E+02 0.  0.
      -11    1    3    3    0    0  0.11069669899E+02 -0.16235230369E+02 -0.54299288183E+02  0.57745415350E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16265706362E+03  0.41949405195E+02 -0.18788830645E+03  0.25202993601E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.19325103294E+03 -0.21142368027E+03 -0.42419474855E+03  0.51184677298E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.19524299418E+02  0.18570950545E+03 -0.55165831476E+01  0.18681448384E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.16134262978E+04  0.16134262978E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.16177877375E+02  0.16177877375E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.40028770047E+02  0.27975591610E+01  0.13135507525E+04  0.13166507021E+04  0.80891057605E+02 0.  0.
      -11    1    3    3    0    0 -0.25891876734E+01 -0.14538795239E+02  0.10307836143E+04  0.10308893927E+04  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.37439582373E+02  0.17336354400E+02  0.28276713816E+03  0.28576130938E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.43351771566E+01  0.32038466399E+02  0.87152803942E+01  0.33484521836E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.35693592890E+02 -0.34836025560E+02  0.27498238759E+03  0.27946895129E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.61416881070E+02  0.61416881070E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.70257055281E+03  0.70257055281E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.11931174427E+02 -0.10112309790E+02 -0.38915615936E+03  0.40074986944E+03  0.94410432445E+02 0.  0.
      -11    1    3    3    0    0 -0.18964201605E+02  0.35040935822E+02 -0.19519921435E+03  0.19922409846E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30895376031E+02 -0.45153245611E+02 -0.19395694501E+03  0.20152577098E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.42520956722E+02  0.17984803098E+02 -0.30122788285E+03  0.30474534009E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.30589782296E+02 -0.78724933081E+01  0.49230370473E+02  0.58492224344E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.69083111953E+02  0.69083111953E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.65851729183E+03  0.65851729183E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.17559483964E+02  0.11965459566E+02 -0.45921436972E+03  0.46628872396E+03  0.78075790349E+02 0.  0.
      -11    1    3    3    0    0 -0.12563632442E+02 -0.31193695752E+02 -0.27350932150E+03  0.27556893959E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.49958515228E+01  0.43159155319E+02 -0.18570504822E+03  0.19071978438E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.53452415409E+02  0.52210942637E+02 -0.16412962861E+03  0.18033767835E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.35892931445E+02 -0.64176402204E+02  0.33909818451E+02  0.80974001475E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.68466049888E+02  0.68466049888E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.23728070231E+03  0.23728070231E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.29347514832E+02  0.32821901552E+02 -0.15244430385E+03  0.17529795537E+03  0.74508748013E+02 0.  0.
      -11    1    3    3    0    0 -0.15190562263E+02  0.60971974873E+01 -0.24322498813E+01  0.16548257870E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.44538077095E+02  0.26724704065E+02 -0.15001205397E+03  0.15874969750E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.40296072878E+02 -0.70952012388E+00 -0.61780630328E+02  0.73763969470E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.10948558046E+02 -0.32112381428E+02  0.45410281755E+02  0.56684827365E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.54614442203E+02  0.54614442203E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.31211972860E+03  0.31211972860E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.26607633180E+02  0.31040042761E+02 -0.10412931406E+02  0.91039551787E+02  0.80674162227E+02 0.  0.
      -11    1    3    3    0    0  0.22929880784E+02 -0.56887566031E+01 -0.16876192799E+02  0.29033554171E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.49537513964E+02  0.36728799364E+02  0.64632613925E+01  0.62005997615E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.36243831198E+02  0.15019111312E+02 -0.48624795811E+02  0.62478474470E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.62851464378E+02 -0.46059154073E+02 -0.19846755918E+03  0.21321614455E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15882553889E+02  0.15882553889E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.81133077744E+03  0.81133077744E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.65031173850E+01 -0.10878436657E+02 -0.70754558262E+03  0.71188835704E+03  0.77483227186E+02 0.  0.
      -11    1    3    3    0    0 -0.28251597720E+02  0.23367571567E+02 -0.27249862414E+03  0.27495398948E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21748480335E+02 -0.34246008224E+02 -0.43504695848E+03  0.43693436756E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.39145499105E+02  0.14348923703E+02 -0.45738747567E+02  0.61889375021E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.32642381720E+02 -0.34704870460E+01 -0.42163893365E+02  0.53435599261E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.84503985400E+03  0.84503985400E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.46117725725E+02  0.46117725725E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.47895722770E+02 -0.51895542396E+02  0.18671963817E+03  0.21407560060E+03  0.77311007729E+02 0.  0.
      -11    1    3    3    0    0  0.19161616950E+02 -0.10007726825E+02  0.19529510353E+02  0.29132866920E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.67057339721E+02 -0.41887815571E+02  0.16719012781E+03  0.18494273368E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.86914585118E+02  0.10868559793E+03  0.58770045761E+03  0.60395242543E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.39018862348E+02 -0.56790055539E+02  0.24502032499E+02  0.73129553694E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.83131856986E+02  0.83131856986E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.12029673952E+04  0.12029673952E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.10930528034E+02  0.44536075723E+02 -0.11477536883E+04  0.11516037840E+04  0.82157214545E+02 0.  0.
      -11    1    3    3    0    0  0.16253642981E+02 -0.15895488836E+02 -0.15710754375E+03  0.15874390627E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27184171015E+02  0.60431564559E+02 -0.99064614453E+03  0.99285987773E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.24096122231E+02 -0.53855426496E+02 -0.29985917788E+02  0.66182968619E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.35026650264E+02  0.93193507729E+01  0.57904067831E+02  0.68312499581E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.15433561514E+04  0.15433561514E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.75288781421E+01  0.75288781421E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.45064357719E+02  0.19166280226E+02  0.92180665102E+03  0.92657953245E+03  0.80149768944E+02 0.  0.
      -11    1    3    3    0    0 -0.44406250466E+01  0.18856236029E+02  0.54135322005E+02  0.57497042329E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.49504982766E+02  0.31004419751E+00  0.86767132901E+03  0.86908249012E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.28589076916E+02 -0.53862580502E+02  0.50596531970E+03  0.50962674345E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.16475280804E+02  0.34696300276E+02  0.10805530254E+03  0.11467875364E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00  0.38139399115E+03  0.38139399115E+03  0.00000000000E+00 0. -1.
        4   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.93997250732E+02  0.93997250732E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.29516635673E+02  0.16901044789E+03  0.13051727533E+03  0.23045556698E+03  0.81481567940E+02 0.  0.
      -11    1    3    3    0    0  0.12937490062E+02  0.13462889486E+03  0.90438072162E+02  0.16270022396E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.42454125735E+02  0.34381553027E+02  0.40079203171E+02  0.67755343017E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.21624862630E+02 -0.97070962404E+02  0.90924159859E+02  0.13475017355E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.51141498303E+02 -0.71939485487E+02  0.65955305229E+02  0.11018550135E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.85908128679E+01  0.85908128679E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.13402508365E+04  0.13402508365E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.23752294187E+02 -0.35727531198E+02 -0.61410431090E+03  0.62071487043E+03  0.79512374834E+02 0.  0.
      -11    1    3    3    0    0 -0.41401440640E+02  0.65488523019E+01 -0.22006781319E+03  0.22402412628E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17649146453E+02 -0.42276383500E+02 -0.39403649770E+03  0.39669074415E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0  0.34830803556E+02 -0.36101054757E+02 -0.33399216776E+03  0.33773841824E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.11078509369E+02  0.71828585955E+02 -0.38356354498E+03  0.39038836070E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.42759569935E+03  0.42759569935E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.57625344375E+02  0.57625344375E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.28256746430E+02  0.12474639475E+03  0.29336327153E+03  0.32946285451E+03  0.78253796711E+02 0.  0.
      -11    1    3    3    0    0 -0.35679566583E+02  0.16155618402E+02  0.10275819845E+03  0.10996946315E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.74228201532E+01  0.10859077635E+03  0.19060507307E+03  0.21949339136E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.40360860667E+02 -0.85986404700E+02  0.54983223371E+02  0.10975343147E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.12104114237E+02 -0.38759990054E+02  0.21623860081E+02  0.46004757746E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.80398181265E+02  0.80398181265E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13751432590E+03  0.13751432590E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.39893207864E+02  0.27932297200E+02  0.21977590493E+01  0.93300804881E+02  0.79552050797E+02 0.  0.
      -11    1    3    3    0    0 -0.20626138673E+02 -0.16266332854E+01  0.13918880103E+02  0.24936293945E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.60519346537E+02  0.29558930486E+02 -0.11721121054E+02  0.68364510936E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.44712514424E+02  0.14673483061E+02 -0.66162100704E+02  0.81190785320E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.48193065597E+01 -0.42605780261E+02  0.68481970210E+01  0.43420916962E+02  0.00000000000E+00 0. -1.


 6   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.50065905555E+02  0.50065905555E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.93736476292E+03  0.93736476292E+03  0.00000000000E+00 0. -1.
      -11    1    1    2    0    0 -0.40364901891E+02  0.17684115943E+03 -0.42359691870E+03  0.46079981609E+03  0.00000000000E+00 0.  1.
       12    1    1    2    0    0  0.45507241277E+02 -0.11097623449E+03 -0.18396788801E+03  0.21961515760E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.34228426608E+02 -0.80611157226E+02 -0.24078643489E+03  0.25621836602E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.29086087221E+02  0.14746232279E+02 -0.38947615769E+02  0.50797328772E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.89743767317E+02  0.89743767317E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.25295661320E+03  0.25295661320E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.21842354001E+02 -0.67124034672E+02 -0.20404756639E+02  0.10992302505E+03  0.81755690222E+02 0.  0.
      -11    1    3    3    0    0 -0.20108403292E+02  0.82054438665E+01 -0.25097684400E+01  0.21862665199E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.41950757293E+02 -0.75329478539E+02 -0.17894988199E+02  0.88060359850E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.45857178084E+02  0.88437570038E+02 -0.16570213611E+03  0.19334239703E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.24014824083E+02 -0.21313535366E+02  0.22894046866E+02  0.39434958443E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.87890115400E+03  0.87890115400E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15735957077E+03  0.15735957077E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.10743543638E+03 -0.90546753300E+02  0.38088208449E+03  0.41426560901E+03  0.82484816811E+02 0.  0.
      -11    1    3    3    0    0  0.26743099903E+02 -0.10667965914E+01  0.18921810571E+02  0.32777528318E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.80692336477E+02 -0.89479956708E+02  0.36196027392E+03  0.38148808069E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14569980173E+03  0.71148616158E+02  0.46394289975E+03  0.49146065156E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.38264365350E+02  0.19398137141E+02 -0.12328340101E+03  0.13053446420E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.79155607858E+02  0.79155607858E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.92935394025E+03  0.92935394025E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.29135306297E+02 -0.99615087880E+01 -0.47462472908E+03  0.48124793076E+03  0.73367838103E+02 0.  0.
      -11    1    3    3    0    0 -0.52053476686E+02  0.28520435596E+01 -0.27432054930E+03  0.27923012437E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22918170389E+02 -0.12813552348E+02 -0.20030417978E+03  0.20201780638E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.64058421437E+02 -0.50586251302E+02 -0.43062214741E+03  0.43828972612E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.34923115140E+02  0.60547760090E+02  0.55048544100E+02  0.88971891239E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.52314243047E+03  0.52314243047E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15674419554E+02  0.15674419554E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.33794810391E+02  0.56655697003E+02  0.23615572324E+03  0.25608683578E+03  0.73884941828E+02 0.  0.
      -11    1    3    3    0    0 -0.82248507767E+01  0.39626488735E+02  0.37839632748E+02  0.55405275799E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.25569959615E+02  0.17029208268E+02  0.19831609049E+03  0.20068155998E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.22391151488E+02 -0.23737308896E+02  0.57636129096E+02  0.66232521285E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.11403658904E+02 -0.32918388107E+02  0.21367615858E+03  0.21649749296E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.22320124370E+03  0.22320124370E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.48133883307E+02  0.48133883307E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.55552456368E+02  0.53834044023E+02  0.51905073718E+02  0.12237607615E+03  0.79357341393E+02 0.  0.
      -11    1    3    3    0    0 -0.21116043102E+02  0.62389117834E+02  0.86532580636E+01  0.66431680511E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34436413266E+02 -0.85550738110E+01  0.43251815654E+02  0.55944395644E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.23783427153E+02 -0.41559213519E+02  0.86842860098E+02  0.99169057601E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.31769029215E+02 -0.12274830504E+02  0.36319426581E+02  0.49789993255E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.13947397649E+03  0.13947397649E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12038770418E+03  0.12038770418E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.27253175888E+02  0.63459680818E+01  0.66726395079E+02  0.11096207911E+03  0.84125883610E+02 0.  0.
      -11    1    3    3    0    0 -0.17681238180E+02 -0.25726301121E+02  0.12646215044E+02  0.33680788410E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.44934414069E+02  0.32072269203E+02  0.54080180035E+02  0.77281290699E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.31167347798E+02 -0.41223869605E+02  0.17640405939E+02  0.54607645212E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.58420523687E+02  0.34877901523E+02 -0.65280528716E+02  0.94291956347E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.62478322430E+03  0.62478322430E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.35149443533E+03  0.35149443533E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.22430944024E+02 -0.11500314276E+02  0.41018032064E+03  0.41875732607E+03  0.80463645326E+02 0.  0.
      -11    1    3    3    0    0  0.18256469618E+02  0.23990506034E+02  0.13405601215E+03  0.13740399359E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.40687413642E+02 -0.35490820310E+02  0.27612430849E+03  0.28135333248E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.71867482570E+02  0.15996712121E+03  0.14997316097E+03  0.23075173657E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.49436538546E+02 -0.14846680694E+03 -0.28686469263E+03  0.32676859700E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.24681311299E+03  0.24681311299E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13044500713E+03  0.13044500713E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.15883765312E+03 -0.12877771690E+01  0.40335191061E+02  0.18284162577E+03  0.81074496969E+02 0.  0.
      -11    1    3    3    0    0 -0.45567454381E+02 -0.34763004333E+02 -0.20588388233E+01  0.57350659860E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.11327019874E+03  0.33475227164E+02  0.42394029884E+02  0.12549096591E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503  0.92328281170E+02 -0.40024267557E+02  0.41936623394E+02  0.10901896110E+03  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.66509371948E+02  0.41312044726E+02  0.34096291408E+02  0.85397533244E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.13287890945E+04  0.13287890945E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11943863173E+03  0.11943863173E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.63262734266E+01 -0.11975783384E+02  0.13085823082E+04  0.13108869798E+04  0.76508661386E+02 0.  0.
      -11    1    3    3    0    0 -0.23055829244E+02  0.25187723836E+02  0.42701859656E+03  0.42838169254E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16729555817E+02 -0.37163507219E+02  0.88156371168E+03  0.88250528726E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.24169171475E+02  0.21500053804E+02  0.77231030288E+00  0.32357342700E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.30495444901E+02 -0.95242704206E+01 -0.10000415577E+03  0.10498340372E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.19450789956E+03  0.19450789956E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.34684172815E+03  0.34684172815E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.92407701457E+02 -0.71532785126E+02 -0.28749472722E+03  0.32063762779E+03  0.80617290557E+02 0.  0.
      -11    1    3    3    0    0  0.15412960927E+02 -0.13044745093E+02 -0.33193558759E+01  0.20463207533E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.76994740530E+02 -0.58488040034E+02 -0.28417537135E+03  0.30017442026E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.48693352912E+02  0.88228208161E+02  0.29262894741E+02  0.10493605835E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.43714348545E+02 -0.16695423035E+02  0.10589800389E+03  0.11577594157E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.37146315781E+03  0.37146315781E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.40929581719E+02  0.40929581719E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.34099777545E+02  0.12506006602E+02  0.19512885503E+03  0.21494869111E+03  0.82513482016E+02 0.  0.
      -11    1    3    3    0    0 -0.15038690240E+02  0.82949138716E+01  0.41014650213E+01  0.17657571056E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.49138467785E+02  0.42110927302E+01  0.19102739001E+03  0.19729112005E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.72176168315E+02 -0.12185207479E+02  0.19943146414E+02  0.75865721132E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.38076390770E+02 -0.32079912247E+00  0.11546157465E+03  0.12157832729E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.82204837143E+03  0.82204837143E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.30681204687E+02  0.30681204687E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.10041919261E+03  0.21149020080E+02  0.33047185517E+03  0.35594816237E+03  0.83403548724E+02 0.  0.
      -11    1    3    3    0    0 -0.16579570301E+02 -0.16253067449E+02  0.16577547465E+03  0.16739340593E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.83839622304E+02  0.37402087529E+02  0.16469638052E+03  0.18855475644E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.75050875474E+02 -0.45554023414E+02  0.45203508590E+03  0.46048183660E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.25368317131E+02  0.24405003334E+02  0.88602256724E+01  0.36299577143E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.20940503176E+03  0.20940503176E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.25937032456E+03  0.25937032456E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.18433848480E+03  0.12975693110E+03 -0.26830517609E+02  0.23787292142E+03  0.71035990320E+02 0.  0.
      -11    1    3    3    0    0  0.94455868149E+02  0.37731179253E+02  0.14538733645E+02  0.10274691086E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.89882616656E+02  0.92025751845E+02 -0.41369251255E+02  0.13512601056E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14000731157E+03 -0.11795382400E+03 -0.26141555793E+02  0.18492845327E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.44331173234E+02 -0.11803107100E+02  0.30067805993E+01  0.45973981632E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.12967086389E+04  0.12967086389E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.45190887095E+02  0.45190887095E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.17515471452E+02  0.35523730094E+02  0.11579665572E+04  0.11616704872E+04  0.83803616238E+02 0.  0.
      -11    1    3    3    0    0 -0.19578059852E+02  0.23625840382E+01  0.59129074463E+02  0.62330808416E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20625883999E+01  0.33161146056E+02  0.10988374828E+04  0.10993396788E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.70929641581E+02 -0.46247050163E+02  0.92963632337E+02  0.12574593688E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.53414170130E+02  0.10723320069E+02  0.58756225384E+00  0.54483101906E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00  0.25030442808E+02  0.25030442808E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.57641410601E+03  0.57641410601E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.16989911090E+02 -0.56506214471E+00 -0.19186334663E+03  0.20860739443E+03  0.80103213786E+02 0.  0.
      -11    1    3    3    0    0 -0.41826922656E+02 -0.13046654825E+01 -0.17134988900E+03  0.17638587833E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24837011565E+02  0.73960333780E+00 -0.20513457623E+02  0.32221516107E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.29782649934E+02 -0.64736321141E+02 -0.11329713063E+03  0.13384333125E+03  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502  0.46772561024E+02  0.65301383286E+02 -0.24622318594E+03  0.25899382313E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.59264923075E+02  0.59264923075E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.62407229243E+03  0.62407229243E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.54951527122E+02  0.54102719969E+01 -0.27135084188E+03  0.28810433745E+03  0.79522880289E+02 0.  0.
      -11    1    3    3    0    0  0.10554364328E+02 -0.87621663345E+01 -0.13973446399E+03  0.14040616294E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.65505891450E+02  0.14172438331E+02 -0.13161637789E+03  0.14769817450E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.36914850501E+02  0.79645354772E+02 -0.29549841222E+03  0.30826190220E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.18036676621E+02 -0.85055626769E+02  0.20418847440E+01  0.86970975859E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12883667391E+04  0.12883667391E+04  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.63615853675E+03  0.63615853675E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11825812886E+03 -0.35996098010E+02 -0.34442295016E+03  0.37371108555E+03  0.75842618306E+02 0.  0.
      -11    1    3    3    0    0  0.10148586607E+02 -0.10526019798E+02 -0.33381904101E+01  0.14997813778E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10810954225E+03 -0.25470078211E+02 -0.34108475975E+03  0.35871327177E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.24784608984E+02  0.13416304882E+03  0.12532182713E+04  0.12606228762E+04  0.00000000000E+00 0.  1.
        1    1    1    2  502    0 -0.93473519875E+02 -0.98166950809E+02 -0.25658711887E+03  0.29019131400E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.32920011434E+03  0.32920011434E+03  0.00000000000E+00 0. -1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.55298497783E+02  0.55298497783E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.20895056543E+02  0.11706278623E+03  0.17779483149E+03  0.22843899037E+03  0.80206426846E+02 0.  0.
      -11    1    3    3    0    0 -0.50141581580E+02  0.52806985296E+02  0.88592771409E+02  0.11467970634E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.29246525037E+02  0.64255800936E+02  0.89202060082E+02  0.11375928403E+03  0.00000000000E+00 0. -1.
        1    1    1    2  502    0 -0.56967674158E+01 -0.56625855377E+02  0.43252512669E+02  0.71482309059E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.26591823959E+02 -0.60436930855E+02  0.52854272402E+02  0.84577312701E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.83359015062E+03  0.83359015062E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.32219495184E+02  0.32219495184E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.80693436571E+01  0.99957989682E+02  0.52744357037E+03  0.54264350468E+03  0.78794284333E+02 0.  0.
      -11    1    3    3    0    0 -0.14818165731E+02  0.30511902101E+02  0.55319348681E+02  0.64890558203E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22887509388E+02  0.69446087582E+02  0.47212422169E+03  0.47775294648E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.55320792807E+02 -0.86661862404E+02  0.10380191981E+03  0.14610101666E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.47251449150E+02 -0.13296127279E+02  0.17012516525E+03  0.17706512446E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.22980450952E+03  0.22980450952E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.98159573394E+02  0.98159573394E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.32264345719E+02  0.12585898940E+02  0.13902329512E+03  0.16438704208E+03  0.80599194542E+02 0.  0.
      -11    1    3    3    0    0  0.16587374181E+02  0.17098625800E+02  0.90854228714E+01  0.25496056464E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.48851719900E+02 -0.45127268596E+01  0.12993787225E+03  0.13889098561E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.61793301278E+01 -0.30501427179E+02 -0.79198917757E+02  0.85094005398E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.26085015591E+02  0.17915528240E+02  0.71820558767E+02  0.78483035442E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.61805550800E+03  0.61805550800E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.98353656489E+03  0.98353656489E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.30041842573E+02 -0.26459797761E+02 -0.94108868032E+03  0.94542341722E+03  0.81085759458E+02 0.  0.
      -11    1    3    3    0    0 -0.22365744481E+02 -0.48802410930E+02 -0.37295834437E+03  0.37680210784E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.76760980919E+01  0.22342613169E+02 -0.56813033595E+03  0.56862130937E+03  0.00000000000E+00 0. -1.
        2    1    1    2  502    0  0.36541088340E+01  0.41804219626E+02  0.60927796932E+03  0.61072136789E+03  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.26387733739E+02 -0.15344421865E+02 -0.33670345889E+02  0.45447287780E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.48750374782E+02  0.48750374782E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.41027202794E+03  0.41027202794E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.91377463143E+01 -0.70310417872E+01 -0.28777418947E+03  0.29954811599E+03  0.82353844550E+02 0.  0.
      -11    1    3    3    0    0  0.16604456260E+02 -0.34318554880E+02 -0.20708203127E+03  0.21056219711E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.25742202574E+02  0.27287513093E+02 -0.80692158202E+02  0.88985918883E+02  0.00000000000E+00 0. -1.
        2    1    1    2  502    0 -0.62329577435E+02  0.27149153310E+01 -0.91754023363E+01  0.63059773203E+02  0.00000000000E+00 0.  1.
        1    1    1    2  501    0  0.71467323749E+02  0.43161264562E+01 -0.64572061352E+02  0.96414513527E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.41661449546E+03  0.41661449546E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.10679440436E+03  0.10679440436E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.24685973019E+02 -0.45873465768E+02  0.90498307649E+02  0.13153990827E+03  0.79993947621E+02 0.  0.
      -11    1    3    3    0    0  0.19767753604E+01 -0.34238425212E+02 -0.22178305036E+01  0.34367079799E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.26662748379E+02 -0.11635040557E+02  0.92716138153E+02  0.97172828475E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.12594309365E+03 -0.47045379447E+02  0.15094402536E+03  0.20213616538E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.15062906666E+03  0.92918845216E+02  0.68377758097E+02  0.18973282616E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15207413917E+03  0.15207413917E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.16271689767E+04  0.16271689767E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.29965274189E+02 -0.19934358382E+02 -0.41711157584E+03  0.42684028365E+03  0.83158070838E+02 0.  0.
      -11    1    3    3    0    0 -0.58403409170E+02 -0.15401878431E+02 -0.31536817425E+03  0.32110008003E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.28438134981E+02 -0.45324799512E+01 -0.10174340158E+03  0.10574020362E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.67933982904E+02  0.72750002478E+02 -0.11958374722E+04  0.11999728533E+04  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.37968708716E+02 -0.52815644096E+02  0.13785421050E+03  0.15242997886E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.50813670234E+02  0.50813670234E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00 -0.32960301550E+03  0.32960301550E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.35589212684E+02 -0.94468390453E+01 -0.78919696108E+02  0.11723070537E+03  0.78478564080E+02 0.  0.
      -11    1    3    3    0    0 -0.18363800540E+02  0.78776613988E+01  0.11290212639E+00  0.19982478982E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.53953013224E+02 -0.17324500444E+02 -0.79032598234E+02  0.97248226386E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503  0.55373636221E+02  0.60282829247E+01 -0.14863836802E+03  0.15873230367E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.90962848905E+02  0.34185561207E+01 -0.51231281144E+02  0.10445367669E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.28831528521E+02  0.28831528521E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.13407330239E+04  0.13407330239E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.41828814994E+02  0.59893809852E+02 -0.11332507391E+04  0.11387192483E+04  0.84186522108E+02 0.  0.
      -11    1    3    3    0    0  0.14086382853E+02 -0.19395292726E+02 -0.39013670360E+03  0.39087242300E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.27742432141E+02  0.79289102578E+02 -0.74311403553E+03  0.74784682531E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14195044467E+02  0.38341428373E+02 -0.74818022431E+02  0.85260195270E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.27633770527E+02 -0.98235238225E+02 -0.10383273379E+03  0.14558510882E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.65483685518E+03  0.65483685518E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.65458111241E+03  0.65458111241E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.16083663919E+02  0.35929204793E+02  0.32610639521E+03  0.33808104526E+03  0.80023872432E+02 0.  0.
      -11    1    3    3    0    0 -0.62119096031E+00 -0.22072269583E+02  0.39469971716E+02  0.45226647345E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15462472958E+02  0.58001474376E+02  0.28663642350E+03  0.29285439791E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.12056635263E+03 -0.46141117940E+03 -0.17336944698E+03  0.50743816077E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.10448268871E+03  0.42548197461E+03 -0.15248120547E+03  0.46389876156E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.39561606924E+03  0.39561606924E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.79835565973E+02  0.79835565973E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.32103314685E+00 -0.12837420210E+02  0.19728620657E+03  0.21416363915E+03  0.82336593401E+02 0.  0.
      -11    1    3    3    0    0 -0.40160791971E+01  0.34787293035E+02  0.95741346988E+02  0.10194454459E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36950460503E+01 -0.47624713244E+02  0.10154485958E+03  0.11221909456E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.28582276551E+02  0.64866760747E+02  0.16912733359E+03  0.18338129172E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.28261243404E+02 -0.52029340537E+02 -0.50633036900E+02  0.77906704340E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00  0.18078509404E+03  0.18078509404E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.26450175850E+03  0.26450175850E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.30775941119E+02 -0.58536595309E+02  0.28816239243E+01  0.10451036756E+03  0.80872873264E+02 0.  0.
      -11    1    3    3    0    0 -0.27414827632E+02 -0.18225340666E+02  0.67896033586E+01  0.33613011324E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.58190768751E+02 -0.40311254643E+02 -0.39079794343E+01  0.70897356241E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  503  0.70602158877E+02  0.16677881091E+03 -0.42019045918E+02  0.18591782278E+03  0.00000000000E+00 0.  1.
        3    1    1    2  501    0 -0.10137810000E+03 -0.10824221560E+03 -0.44579242467E+02  0.15485866219E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.14274142884E+03  0.14274142884E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.14505975508E+03  0.14505975508E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.32731673885E+02  0.24725834014E+02  0.92963302566E+02  0.12883887064E+03  0.79212054769E+02 0.  0.
      -11    1    3    3    0    0 -0.67112113040E+00  0.48767881053E+02  0.45262781711E+02  0.66539281888E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.32060552754E+02 -0.24042047039E+02  0.47700520855E+02  0.62299588752E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.19331208915E+02 -0.46805809279E+02 -0.29977897644E+01  0.50729342238E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.52062882799E+02  0.22079975265E+02 -0.92283839044E+02  0.10823297105E+03  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.67387042861E+02  0.67387042861E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.35440220412E+03  0.35440220412E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.36782924884E+02 -0.11464048763E+02 -0.29760992957E+03  0.30826236448E+03  0.70495440977E+02 0.  0.
      -11    1    3    3    0    0  0.44579698945E+00 -0.26117424682E+02 -0.41430612245E+02  0.48977691227E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.37228721873E+02  0.14653375919E+02 -0.25617931732E+03  0.25928467325E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.66508912789E+02  0.51654213217E+01 -0.20759392617E+02  0.69864650859E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.29725987905E+02  0.62986274413E+01  0.31354160928E+02  0.43662231644E+02  0.00000000000E+00 0. -1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10208101305E+03  0.10208101305E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.28228504581E+03  0.28228504581E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.33280732607E+02  0.32594632505E+02 -0.22924640512E+03  0.25051495981E+03  0.89631543551E+02 0.  0.
      -11    1    3    3    0    0  0.33983033792E+02 -0.13535267990E+02 -0.34166683611E+02  0.50054094081E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.70230118499E+00  0.46129900495E+02 -0.19507972151E+03  0.20046086573E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.41500655851E+02  0.24752848180E+02 -0.11900571735E+02  0.49765766715E+02  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.82199232434E+01 -0.57347480685E+02  0.60942944090E+02  0.84085332332E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.21166038492E+03  0.21166038492E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.73570815511E+02  0.73570815511E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.92623972060E+02  0.22390589193E+02  0.36639116236E+02  0.12916856852E+03  0.79129991603E+02 0.  0.
      -11    1    3    3    0    0 -0.97284396395E+02 -0.17456543466E+00  0.41253043184E+02  0.10566975834E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.46604243343E+01  0.22565154627E+02 -0.46139269471E+01  0.23498810187E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503  0.53677941683E+02 -0.80241789584E+01  0.93964061820E+01  0.55081769401E+02  0.00000000000E+00 0.  1.
       21    1    1    2  503  502  0.38946030378E+02 -0.14366410234E+02  0.92054046986E+02  0.10098086250E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00  0.55192142218E+03  0.55192142218E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.16599278963E+03  0.16599278963E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.52300364109E+02  0.14809676510E+02  0.60226005692E+02  0.11428705245E+03  0.80496608575E+02 0.  0.
      -11    1    3    3    0    0 -0.38523770664E+02 -0.18707753761E+02 -0.13408631297E+01  0.42846923704E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13776593446E+02  0.33517430271E+02  0.61566868822E+02  0.71440128748E+02  0.00000000000E+00 0. -1.
        2    1    1    2  501    0  0.12079590779E+03 -0.32514585252E+02 -0.10734497036E+03  0.16483868555E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  501 -0.68495543681E+02  0.17704908743E+02  0.43304759721E+03  0.43878847381E+03  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00  0.33261236559E+03  0.33261236559E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.86835017945E+02  0.86835017945E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.85800718565E+02 -0.13641941028E+01  0.30202213667E+02  0.12155983330E+03  0.80628748162E+02 0.  0.
      -11    1    3    3    0    0  0.38778309605E+02  0.24755408391E+02 -0.17932244817E+02  0.49377656330E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47022408960E+02 -0.26119602494E+02  0.48134458485E+02  0.72182176972E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.10764720085E+03  0.32327378301E+02  0.23106353004E+03  0.25695006159E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502  0.21846482285E+02 -0.30963184198E+02 -0.15488396059E+02  0.40937488643E+02  0.00000000000E+00 0.  1.


 7   1  0.1436400E+01  0.8040000E+02  0.7546772E-02  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.39947426059E+02  0.39947426059E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  503    0  0.00000000000E+00  0.00000000000E+00 -0.95226037928E+03  0.95226037928E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14412074812E+03 -0.74306079548E+01 -0.30143645902E+03  0.34389584207E+03  0.81082719455E+02 0.  0.
      -11    1    3    3    0    0  0.82024792894E+02 -0.49592858863E+01 -0.83025026546E+02  0.11681530807E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.62095955222E+02 -0.24713220686E+01 -0.21841143247E+03  0.22708053400E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.12024738353E+03 -0.59828620421E+02 -0.28996676776E+03  0.31956161139E+03  0.00000000000E+00 0. -1.
       21    1    1    2  503  502 -0.23873364586E+02  0.67259228376E+02 -0.32090972645E+03  0.32875035189E+03  0.00000000000E+00 0.  1.

      
pythia8-8.1.86.orig/examples/sps1aNarrowStopGluinoRPV.spc0000644000175000017500000013345612357054721021542 0ustar  sunsun## Important note!
## This file has been modified by hand to give the gluino, the stop_1
## and the su_L very narrow widths, such that it can be used to try out
## the R-hadron machinery. It is not a realistic SUSY scenario.
##
##******************************************************************
##                      MadGraph/MadEvent                          *
##******************************************************************
##                                                                 *
##  param_card corresponding the SPS point 1a (by SoftSusy 2.0.5)  *
##                                                                 *
##******************************************************************
## Les Houches friendly file for the (MS)SM parameters of MadGraph *
##      SM parameter set and decay widths produced by MSSMCalc     *
##******************************************************************
##*Please note the following IMPORTANT issues:                     *
##                                                                 *
##0. REFRAIN from editing this file by hand! Some of the parame-   *
##   ters are not independent. Always use a calculator.            *
##                                                                 *
##1. alpha_S(MZ) has been used in the calculation of the parameters*
##   This value is KEPT by madgraph when no pdf are used lpp(i)=0, *
##   but, for consistency, it will be reset by madgraph to the     *
##   value expected IF the pdfs for collisions with hadrons are    *
##   used.                                                         *
##                                                                 *
##2. Values of the charm and bottom kinematic (pole) masses are    *
##   those used in the matrix elements and phase space UNLESS they *
##   are set to ZERO from the start in the model (particles.dat)   *
##   This happens, for example,  when using 5-flavor QCD where     *
##   charm and bottom are treated as partons in the initial state  *
##   and a zero mass might be hardwired in the model definition.   *
##                                                                 *
##       The SUSY decays have calculated using SDECAY 1.1a         *
##                                                                 *
##******************************************************************
#
BLOCK DCINFO  # Decay Program information
     1   SDECAY      # decay calculator
     2   1.1a        # version number
#
BLOCK SPINFO  # Spectrum calculator information
     1   SOFTSUSY    # spectrum calculator                 
     2   2.0.5         # version number                    
#
BLOCK MODSEL  # Model selection
     1     1   sugra                                             
#
BLOCK SMINPUTS  # Standard Model inputs
     1     1.27934000E+02   # alpha_em^-1(M_Z)^MSbar
     2     1.16637000E-05   # G_F [GeV^-2]
     3     1.18000000E-01   # alpha_S(M_Z)^MSbar
     4     9.11876000E+01   # M_Z pole mass
     5     4.25000000E+00   # mb(mb)^MSbar
     6     1.75000000E+02   # mt pole mass
     7     1.77700000E+00   # mtau pole mass
#
BLOCK MINPAR  # Input parameters - minimal models
     1     1.00000000E+02   # m0                  
     2     2.50000000E+02   # m12                 
     3     1.00000000E+01   # tanb                
     4     1.00000000E+00   # sign(mu)            
     5    -1.00000000E+02   # A0                  
#
BLOCK MASS  # Mass Spectrum
# PDG code           mass       particle
         5     4.88991651E+00   # b-quark pole mass calculated from mb(mb)_Msbar
         6     1.75000000E+02   # mt pole mass (not read by ME)
        24     7.98290131E+01   # W+
        25     1.10899057E+02   # h
        35     3.99960116E+02   # H
        36     3.99583917E+02   # A
        37     4.07879012E+02   # H+
   1000001     5.68441109E+02   # ~d_L
   2000001     5.45228462E+02   # ~d_R
   1000002     5.61119014E+02   # ~u_L
   2000002     5.49259265E+02   # ~u_R
   1000003     5.68441109E+02   # ~s_L
   2000003     5.45228462E+02   # ~s_R
   1000004     5.61119014E+02   # ~c_L
   2000004     5.49259265E+02   # ~c_R
   1000005     5.13065179E+02   # ~b_1
   2000005     5.43726676E+02   # ~b_2
   1000006     3.99668493E+02   # ~t_1
   2000006     5.85785818E+02   # ~t_2
   1000011     2.02915690E+02   # ~e_L
   2000011     1.44102799E+02   # ~e_R
   1000012     1.85258326E+02   # ~nu_eL
   1000013     2.02915690E+02   # ~mu_L
   2000013     1.44102799E+02   # ~mu_R
   1000014     1.85258326E+02   # ~nu_muL
   1000015     1.34490864E+02   # ~tau_1
   2000015     2.06867805E+02   # ~tau_2
   1000016     1.84708464E+02   # ~nu_tauL
   1000021     6.07713704E+02   # ~g
   1000022     9.66880686E+01   # ~chi_10
   1000023     1.81088157E+02   # ~chi_20
   1000025    -3.63756027E+02   # ~chi_30
   1000035     3.81729382E+02   # ~chi_40
   1000024     1.81696474E+02   # ~chi_1+
   1000037     3.79939320E+02   # ~chi_2+
#
BLOCK NMIX  # Neutralino Mixing Matrix
  1  1     9.86364430E-01   # N_11
  1  2    -5.31103553E-02   # N_12
  1  3     1.46433995E-01   # N_13
  1  4    -5.31186117E-02   # N_14
  2  1     9.93505358E-02   # N_21
  2  2     9.44949299E-01   # N_22
  2  3    -2.69846720E-01   # N_23
  2  4     1.56150698E-01   # N_24
  3  1    -6.03388002E-02   # N_31
  3  2     8.77004854E-02   # N_32
  3  3     6.95877493E-01   # N_33
  3  4     7.10226984E-01   # N_34
  4  1    -1.16507132E-01   # N_41
  4  2     3.10739017E-01   # N_42
  4  3     6.49225960E-01   # N_43
  4  4    -6.84377823E-01   # N_44
#
BLOCK UMIX  # Chargino Mixing Matrix U
  1  1     9.16834859E-01   # U_11
  1  2    -3.99266629E-01   # U_12
  2  1     3.99266629E-01   # U_21
  2  2     9.16834859E-01   # U_22
#
BLOCK VMIX  # Chargino Mixing Matrix V
  1  1     9.72557835E-01   # V_11
  1  2    -2.32661249E-01   # V_12
  2  1     2.32661249E-01   # V_21
  2  2     9.72557835E-01   # V_22
#
BLOCK STOPMIX  # Stop Mixing Matrix
  1  1     5.53644960E-01   # O_{11}
  1  2     8.32752820E-01   # O_{12}
  2  1     8.32752820E-01   # O_{21}
  2  2    -5.53644960E-01   # O_{22}
#
BLOCK SBOTMIX  # Sbottom Mixing Matrix
  1  1     9.38737896E-01   # O_{11}
  1  2     3.44631925E-01   # O_{12}
  2  1    -3.44631925E-01   # O_{21}
  2  2     9.38737896E-01   # O_{22}
#
BLOCK STAUMIX  # Stau Mixing Matrix
  1  1     2.82487190E-01   # O_{11}
  1  2     9.59271071E-01   # O_{12}
  2  1     9.59271071E-01   # O_{21}
  2  2    -2.82487190E-01   # O_{22}
#
BLOCK ALPHA  # Higgs mixing
          -1.13825210E-01   # Mixing angle in the neutral Higgs boson sector
#
BLOCK HMIX Q=  4.67034192E+02  # DRbar Higgs Parameters
     1     3.57680977E+02   # mu(Q)MSSM DRbar     
     2     9.74862403E+00   # tan beta(Q)MSSM DRba
     3     2.44894549E+02   # higgs vev(Q)MSSM DRb
     4     1.66439065E+05   # mA^2(Q)MSSM DRbar   
#
BLOCK GAUGE Q=  4.67034192E+02  # The gauge couplings
     3     1.10178679E+00   # g3(Q) MSbar
#
BLOCK AU Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_u(Q) DRbar
  2  2     0.00000000E+00   # A_c(Q) DRbar
  3  3    -4.98129778E+02   # A_t(Q) DRbar
#
BLOCK AD Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_d(Q) DRbar
  2  2     0.00000000E+00   # A_s(Q) DRbar
  3  3    -7.97274397E+02   # A_b(Q) DRbar
#
BLOCK AE Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_e(Q) DRbar
  2  2     0.00000000E+00   # A_mu(Q) DRbar
  3  3    -2.51776873E+02   # A_tau(Q) DRbar
#
BLOCK YU Q=  4.67034192E+02  # The Yukawa couplings
  3  3     8.92844550E-01   # y_t(Q) DRbar
#
BLOCK YD Q=  4.67034192E+02  # The Yukawa couplings
  3  3     1.38840206E-01   # y_b(Q) DRbar
#
BLOCK YE Q=  4.67034192E+02  # The Yukawa couplings
  3  3     1.00890810E-01   # y_tau(Q) DRbar
#
BLOCK MSOFT Q=  4.67034192E+02  # The soft SUSY breaking masses at the scale Q
     1     1.01396534E+02   # M_1(Q)              
     2     1.91504241E+02   # M_2(Q)              
     3     5.88263031E+02   # M_3(Q)              
    21     3.23374943E+04   # mH1^2(Q)            
    22    -1.28800134E+05   # mH2^2(Q)            
    31     1.95334764E+02   # meL(Q)              
    32     1.95334764E+02   # mmuL(Q)             
    33     1.94495956E+02   # mtauL(Q)            
    34     1.36494061E+02   # meR(Q)              
    35     1.36494061E+02   # mmuR(Q)             
    36     1.34043428E+02   # mtauR(Q)            
    41     5.47573466E+02   # mqL1(Q)             
    42     5.47573466E+02   # mqL2(Q)             
    43     4.98763839E+02   # mqL3(Q)             
    44     5.29511195E+02   # muR(Q)              
    45     5.29511195E+02   # mcR(Q)              
    46     4.23245877E+02   # mtR(Q)              
    47     5.23148807E+02   # mdR(Q)              
    48     5.23148807E+02   # msR(Q)              
    49     5.19867261E+02   # mbR(Q)              
#
#
#
#                             =================
#                             |The decay table|
#                             =================
#
# - The multi-body decays for the inos, stops and sbottoms are included.
#
#         PDG            Width
DECAY        25     1.98610799E-03   # h decays
#          BR         NDA      ID1       ID2
     1.45642955E-01    2          15       -15   # BR(H1 -> tau- tau+)
     8.19070713E-01    2           5        -5   # BR(H1 -> b bb)
     3.36338173E-02    2          24       -24   # BR(H1 -> W+ W-)
     1.65251528E-03    2          23        23   # BR(H1 -> Z Z)
#
#         PDG            Width
DECAY        35     5.74801389E-01   # H decays
#          BR         NDA      ID1       ID2
     1.39072676E-01    2          15       -15   # BR(H -> tau- tau+)
     4.84110879E-02    2           6        -6   # BR(H -> t tb)
     7.89500067E-01    2           5        -5   # BR(H -> b bb)
     3.87681171E-03    2          24       -24   # BR(H -> W+ W-)
     1.80454752E-03    2          23        23   # BR(H -> Z Z)
     0.00000000E+00    2          24       -37   # BR(H -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(H -> W- H+)
     0.00000000E+00    2          37       -37   # BR(H -> H+ H-)
     1.73348101E-02    2          25        25   # BR(H -> h h)
     0.00000000E+00    2          36        36   # BR(H -> A A)
#
#         PDG            Width
DECAY        36     6.32178488E-01   # A decays
#          BR         NDA      ID1       ID2
     1.26659725E-01    2          15       -15   # BR(A -> tau- tau+)
     1.51081526E-01    2           6        -6   # BR(A -> t tb)
     7.19406137E-01    2           5        -5   # BR(A -> b bb)
     2.85261228E-03    2          23        25   # BR(A -> Z h)
     0.00000000E+00    2          23        35   # BR(A -> Z H)
     0.00000000E+00    2          24       -37   # BR(A -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(A -> W- H+)
#
#         PDG            Width
DECAY        37     5.46962813E-01   # H+ decays
#          BR         NDA      ID1       ID2
     1.49435135E-01    2         -15        16   # BR(H+ -> tau+ nu_tau)
     8.46811711E-01    2           6        -5   # BR(H+ -> t bb)
     3.75315387E-03    2          24        25   # BR(H+ -> W+ h)
     0.00000000E+00    2          24        35   # BR(H+ -> W+ H)
     0.00000000E+00    2          24        36   # BR(H+ -> W+ A)
#
#         PDG            Width
DECAY   1000021     0.01E+00   # gluino decays
#          BR         NDA      ID1   ID2   ID3
     0.50000000E+00    3         2     3     5   # BR(~g -> u s b)
     0.50000000E+00    3        -2    -3    -5   # BR(~g -> ubar sbar bbar)
#
#         PDG            Width
DECAY   1000006     0.01E+00   # stop1 decays
#          BR         NDA      ID1       ID2
     1.92947616E-01    2     1000022         6   # BR(~t_1 -> ~chi_10 t )
     1.17469211E-01    2     1000023         6   # BR(~t_1 -> ~chi_20 t )
     0.00000000E+00    2     1000025         6   # BR(~t_1 -> ~chi_30 t )
     0.00000000E+00    2     1000035         6   # BR(~t_1 -> ~chi_40 t )
     6.75747693E-01    2     1000024         5   # BR(~t_1 -> ~chi_1+ b )
     1.38354802E-02    2     1000037         5   # BR(~t_1 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_1 -> ~g      t )
     0.00000000E+00    2     1000005        37   # BR(~t_1 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_1 -> ~b_2    H+)
     0.00000000E+00    2     1000005        24   # BR(~t_1 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_1 -> ~b_2    W+)
#
#         PDG            Width
DECAY   2000006     7.37313275E+00   # stop2 decays
#          BR         NDA      ID1       ID2
     2.96825635E-02    2     1000022         6   # BR(~t_2 -> ~chi_10 t )
     8.68035358E-02    2     1000023         6   # BR(~t_2 -> ~chi_20 t )
     4.18408351E-02    2     1000025         6   # BR(~t_2 -> ~chi_30 t )
     1.93281647E-01    2     1000035         6   # BR(~t_2 -> ~chi_40 t )
     2.19632356E-01    2     1000024         5   # BR(~t_2 -> ~chi_1+ b )
     2.02206148E-01    2     1000037         5   # BR(~t_2 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_2 -> ~g      t )
     3.66397706E-02    2     1000006        25   # BR(~t_2 -> ~t_1    h )
     0.00000000E+00    2     1000006        35   # BR(~t_2 -> ~t_1    H )
     0.00000000E+00    2     1000006        36   # BR(~t_2 -> ~t_1    A )
     0.00000000E+00    2     1000005        37   # BR(~t_2 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_2 -> ~b_2    H+)
     1.89913144E-01    2     1000006        23   # BR(~t_2 -> ~t_1    Z )
     0.00000000E+00    2     1000005        24   # BR(~t_2 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_2 -> ~b_2    W+)
#
#         PDG            Width
DECAY   1000005     3.73627601E+00   # sbottom1 decays
#          BR         NDA      ID1       ID2
     4.43307074E-02    2     1000022         5   # BR(~b_1 -> ~chi_10 b )
     3.56319904E-01    2     1000023         5   # BR(~b_1 -> ~chi_20 b )
     5.16083795E-03    2     1000025         5   # BR(~b_1 -> ~chi_30 b )
     1.04105080E-02    2     1000035         5   # BR(~b_1 -> ~chi_40 b )
     4.45830064E-01    2    -1000024         6   # BR(~b_1 -> ~chi_1- t )
     0.00000000E+00    2    -1000037         6   # BR(~b_1 -> ~chi_2- t )
     0.00000000E+00    2     1000021         5   # BR(~b_1 -> ~g      b )
     0.00000000E+00    2     1000006       -37   # BR(~b_1 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_1 -> ~t_2    H-)
     1.37947979E-01    2     1000006       -24   # BR(~b_1 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_1 -> ~t_2    W-)
#
#         PDG            Width
DECAY   2000005     8.01566294E-01   # sbottom2 decays
#          BR         NDA      ID1       ID2
     2.86200590E-01    2     1000022         5   # BR(~b_2 -> ~chi_10 b )
     1.40315912E-01    2     1000023         5   # BR(~b_2 -> ~chi_20 b )
     5.32635592E-02    2     1000025         5   # BR(~b_2 -> ~chi_30 b )
     7.48748121E-02    2     1000035         5   # BR(~b_2 -> ~chi_40 b )
     1.79734294E-01    2    -1000024         6   # BR(~b_2 -> ~chi_1- t )
     0.00000000E+00    2    -1000037         6   # BR(~b_2 -> ~chi_2- t )
     0.00000000E+00    2     1000021         5   # BR(~b_2 -> ~g      b )
     0.00000000E+00    2     1000005        25   # BR(~b_2 -> ~b_1    h )
     0.00000000E+00    2     1000005        35   # BR(~b_2 -> ~b_1    H )
     0.00000000E+00    2     1000005        36   # BR(~b_2 -> ~b_1    A )
     0.00000000E+00    2     1000006       -37   # BR(~b_2 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_2 -> ~t_2    H-)
     0.00000000E+00    2     1000005        23   # BR(~b_2 -> ~b_1    Z )
     2.65610832E-01    2     1000006       -24   # BR(~b_2 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_2 -> ~t_2    W-)
#
#         PDG            Width
DECAY   1000002     0.01E+00   # sup_L decays
#          BR         NDA      ID1       ID2
     6.65240987E-03    2     1000022         2   # BR(~u_L -> ~chi_10 u)
     3.19051458E-01    2     1000023         2   # BR(~u_L -> ~chi_20 u)
     8.44929059E-04    2     1000025         2   # BR(~u_L -> ~chi_30 u)
     1.03485173E-02    2     1000035         2   # BR(~u_L -> ~chi_40 u)
     6.49499518E-01    2     1000024         1   # BR(~u_L -> ~chi_1+ d)
     1.36031676E-02    2     1000037         1   # BR(~u_L -> ~chi_2+ d)
     0.00000000E+00    2     1000021         2   # BR(~u_L -> ~g      u)
#
#         PDG            Width
DECAY   2000002     1.15297292E+00   # sup_R decays
#          BR         NDA      ID1       ID2
     9.86377420E-01    2     1000022         2   # BR(~u_R -> ~chi_10 u)
     8.46640647E-03    2     1000023         2   # BR(~u_R -> ~chi_20 u)
     1.23894695E-03    2     1000025         2   # BR(~u_R -> ~chi_30 u)
     3.91722611E-03    2     1000035         2   # BR(~u_R -> ~chi_40 u)
     0.00000000E+00    2     1000024         1   # BR(~u_R -> ~chi_1+ d)
     0.00000000E+00    2     1000037         1   # BR(~u_R -> ~chi_2+ d)
     0.00000000E+00    2     1000021         2   # BR(~u_R -> ~g      u)
#
#         PDG            Width
DECAY   1000001     5.31278772E+00   # sdown_L decays
#          BR         NDA      ID1       ID2
     2.32317969E-02    2     1000022         1   # BR(~d_L -> ~chi_10 d)
     3.10235077E-01    2     1000023         1   # BR(~d_L -> ~chi_20 d)
     1.52334771E-03    2     1000025         1   # BR(~d_L -> ~chi_30 d)
     1.48849798E-02    2     1000035         1   # BR(~d_L -> ~chi_40 d)
     6.06452481E-01    2    -1000024         2   # BR(~d_L -> ~chi_1- u)
     4.36723179E-02    2    -1000037         2   # BR(~d_L -> ~chi_2- u)
     0.00000000E+00    2     1000021         1   # BR(~d_L -> ~g      d)
#
#         PDG            Width
DECAY   2000001     2.85812308E-01   # sdown_R decays
#          BR         NDA      ID1       ID2
     9.86529614E-01    2     1000022         1   # BR(~d_R -> ~chi_10 d)
     8.44510350E-03    2     1000023         1   # BR(~d_R -> ~chi_20 d)
     1.21172119E-03    2     1000025         1   # BR(~d_R -> ~chi_30 d)
     3.81356102E-03    2     1000035         1   # BR(~d_R -> ~chi_40 d)
     0.00000000E+00    2    -1000024         2   # BR(~d_R -> ~chi_1- u)
     0.00000000E+00    2    -1000037         2   # BR(~d_R -> ~chi_2- u)
     0.00000000E+00    2     1000021         1   # BR(~d_R -> ~g      d)
#
#         PDG            Width
DECAY   1000004     5.47719539E+00   # scharm_L decays
#          BR         NDA      ID1       ID2
     6.65240987E-03    2     1000022         4   # BR(~c_L -> ~chi_10 c)
     3.19051458E-01    2     1000023         4   # BR(~c_L -> ~chi_20 c)
     8.44929059E-04    2     1000025         4   # BR(~c_L -> ~chi_30 c)
     1.03485173E-02    2     1000035         4   # BR(~c_L -> ~chi_40 c)
     6.49499518E-01    2     1000024         3   # BR(~c_L -> ~chi_1+ s)
     1.36031676E-02    2     1000037         3   # BR(~c_L -> ~chi_2+ s)
     0.00000000E+00    2     1000021         4   # BR(~c_L -> ~g      c)
#
#         PDG            Width
DECAY   2000004     1.15297292E+00   # scharm_R decays
#          BR         NDA      ID1       ID2
     9.86377420E-01    2     1000022         4   # BR(~c_R -> ~chi_10 c)
     8.46640647E-03    2     1000023         4   # BR(~c_R -> ~chi_20 c)
     1.23894695E-03    2     1000025         4   # BR(~c_R -> ~chi_30 c)
     3.91722611E-03    2     1000035         4   # BR(~c_R -> ~chi_40 c)
     0.00000000E+00    2     1000024         3   # BR(~c_R -> ~chi_1+ s)
     0.00000000E+00    2     1000037         3   # BR(~c_R -> ~chi_2+ s)
     0.00000000E+00    2     1000021         4   # BR(~c_R -> ~g      c)
#
#         PDG            Width
DECAY   1000003     5.31278772E+00   # sstrange_L decays
#          BR         NDA      ID1       ID2
     2.32317969E-02    2     1000022         3   # BR(~s_L -> ~chi_10 s)
     3.10235077E-01    2     1000023         3   # BR(~s_L -> ~chi_20 s)
     1.52334771E-03    2     1000025         3   # BR(~s_L -> ~chi_30 s)
     1.48849798E-02    2     1000035         3   # BR(~s_L -> ~chi_40 s)
     6.06452481E-01    2    -1000024         4   # BR(~s_L -> ~chi_1- c)
     4.36723179E-02    2    -1000037         4   # BR(~s_L -> ~chi_2- c)
     0.00000000E+00    2     1000021         3   # BR(~s_L -> ~g      s)
#
#         PDG            Width
DECAY   2000003     2.85812308E-01   # sstrange_R decays
#          BR         NDA      ID1       ID2
     9.86529614E-01    2     1000022         3   # BR(~s_R -> ~chi_10 s)
     8.44510350E-03    2     1000023         3   # BR(~s_R -> ~chi_20 s)
     1.21172119E-03    2     1000025         3   # BR(~s_R -> ~chi_30 s)
     3.81356102E-03    2     1000035         3   # BR(~s_R -> ~chi_40 s)
     0.00000000E+00    2    -1000024         4   # BR(~s_R -> ~chi_1- c)
     0.00000000E+00    2    -1000037         4   # BR(~s_R -> ~chi_2- c)
     0.00000000E+00    2     1000021         3   # BR(~s_R -> ~g      s)
#
#         PDG            Width
DECAY   1000011     2.13682161E-01   # selectron_L decays
#          BR         NDA      ID1       ID2
     5.73155386E-01    2     1000022        11   # BR(~e_L -> ~chi_10 e-)
     1.64522579E-01    2     1000023        11   # BR(~e_L -> ~chi_20 e-)
     0.00000000E+00    2     1000025        11   # BR(~e_L -> ~chi_30 e-)
     0.00000000E+00    2     1000035        11   # BR(~e_L -> ~chi_40 e-)
     2.62322035E-01    2    -1000024        12   # BR(~e_L -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_L -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   2000011     2.16121626E-01   # selectron_R decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        11   # BR(~e_R -> ~chi_10 e-)
     0.00000000E+00    2     1000023        11   # BR(~e_R -> ~chi_20 e-)
     0.00000000E+00    2     1000025        11   # BR(~e_R -> ~chi_30 e-)
     0.00000000E+00    2     1000035        11   # BR(~e_R -> ~chi_40 e-)
     0.00000000E+00    2    -1000024        12   # BR(~e_R -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_R -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   1000013     2.13682161E-01   # smuon_L decays
#          BR         NDA      ID1       ID2
     5.73155386E-01    2     1000022        13   # BR(~mu_L -> ~chi_10 mu-)
     1.64522579E-01    2     1000023        13   # BR(~mu_L -> ~chi_20 mu-)
     0.00000000E+00    2     1000025        13   # BR(~mu_L -> ~chi_30 mu-)
     0.00000000E+00    2     1000035        13   # BR(~mu_L -> ~chi_40 mu-)
     2.62322035E-01    2    -1000024        14   # BR(~mu_L -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_L -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   2000013     2.16121626E-01   # smuon_R decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        13   # BR(~mu_R -> ~chi_10 mu-)
     0.00000000E+00    2     1000023        13   # BR(~mu_R -> ~chi_20 mu-)
     0.00000000E+00    2     1000025        13   # BR(~mu_R -> ~chi_30 mu-)
     0.00000000E+00    2     1000035        13   # BR(~mu_R -> ~chi_40 mu-)
     0.00000000E+00    2    -1000024        14   # BR(~mu_R -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_R -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   1000015     1.48327268E-01   # stau_1 decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        15   # BR(~tau_1 -> ~chi_10  tau-)
     0.00000000E+00    2     1000023        15   # BR(~tau_1 -> ~chi_20  tau-)
     0.00000000E+00    2     1000025        15   # BR(~tau_1 -> ~chi_30  tau-)
     0.00000000E+00    2     1000035        15   # BR(~tau_1 -> ~chi_40  tau-)
     0.00000000E+00    2    -1000024        16   # BR(~tau_1 -> ~chi_1-  nu_tau)
     0.00000000E+00    2    -1000037        16   # BR(~tau_1 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_1 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_1 -> ~nu_tauL W-)
#
#         PDG            Width
DECAY   2000015     2.69906096E-01   # stau_2 decays
#          BR         NDA      ID1       ID2
     5.96653046E-01    2     1000022        15   # BR(~tau_2 -> ~chi_10  tau-)
     1.54536760E-01    2     1000023        15   # BR(~tau_2 -> ~chi_20  tau-)
     0.00000000E+00    2     1000025        15   # BR(~tau_2 -> ~chi_30  tau-)
     0.00000000E+00    2     1000035        15   # BR(~tau_2 -> ~chi_40  tau-)
     2.48810195E-01    2    -1000024        16   # BR(~tau_2 -> ~chi_1-  nu_tau)
     0.00000000E+00    2    -1000037        16   # BR(~tau_2 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_2 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_2 -> ~nu_tauL W-)
     0.00000000E+00    2     1000015        25   # BR(~tau_2 -> ~tau_1 h)
     0.00000000E+00    2     1000015        35   # BR(~tau_2 -> ~tau_1 H)
     0.00000000E+00    2     1000015        36   # BR(~tau_2 -> ~tau_1 A)
     0.00000000E+00    2     1000015        23   # BR(~tau_2 -> ~tau_1 Z)
#
#         PDG            Width
DECAY   1000012     1.49881634E-01   # snu_eL decays
#          BR         NDA      ID1       ID2
     9.77700764E-01    2     1000022        12   # BR(~nu_eL -> ~chi_10 nu_e)
     8.11554922E-03    2     1000023        12   # BR(~nu_eL -> ~chi_20 nu_e)
     0.00000000E+00    2     1000025        12   # BR(~nu_eL -> ~chi_30 nu_e)
     0.00000000E+00    2     1000035        12   # BR(~nu_eL -> ~chi_40 nu_e)
     1.41836867E-02    2     1000024        11   # BR(~nu_eL -> ~chi_1+ e-)
     0.00000000E+00    2     1000037        11   # BR(~nu_eL -> ~chi_2+ e-)
#
#         PDG            Width
DECAY   1000014     1.49881634E-01   # snu_muL decays
#          BR         NDA      ID1       ID2
     9.77700764E-01    2     1000022        14   # BR(~nu_muL -> ~chi_10 nu_mu)
     8.11554922E-03    2     1000023        14   # BR(~nu_muL -> ~chi_20 nu_mu)
     0.00000000E+00    2     1000025        14   # BR(~nu_muL -> ~chi_30 nu_mu)
     0.00000000E+00    2     1000035        14   # BR(~nu_muL -> ~chi_40 nu_mu)
     1.41836867E-02    2     1000024        13   # BR(~nu_muL -> ~chi_1+ mu-)
     0.00000000E+00    2     1000037        13   # BR(~nu_muL -> ~chi_2+ mu-)
#
#         PDG            Width
DECAY   1000016     1.47518977E-01   # snu_tauL decays
#          BR         NDA      ID1       ID2
     9.85994529E-01    2     1000022        16   # BR(~nu_tauL -> ~chi_10 nu_tau)
     6.25129612E-03    2     1000023        16   # BR(~nu_tauL -> ~chi_20 nu_tau)
     0.00000000E+00    2     1000025        16   # BR(~nu_tauL -> ~chi_30 nu_tau)
     0.00000000E+00    2     1000035        16   # BR(~nu_tauL -> ~chi_40 nu_tau)
     7.75417479E-03    2     1000024        15   # BR(~nu_tauL -> ~chi_1+ tau-)
     0.00000000E+00    2     1000037        15   # BR(~nu_tauL -> ~chi_2+ tau-)
     0.00000000E+00    2    -1000015       -37   # BR(~nu_tauL -> ~tau_1+ H-)
     0.00000000E+00    2    -2000015       -37   # BR(~nu_tauL -> ~tau_2+ H-)
     0.00000000E+00    2    -1000015       -24   # BR(~nu_tauL -> ~tau_1+ W-)
     0.00000000E+00    2    -2000015       -24   # BR(~nu_tauL -> ~tau_2+ W-)
#
#         PDG            Width
DECAY   1000024     1.70414503E-02   # chargino1+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_1+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_1+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_1+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_1+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_1+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_1+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_1+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_1+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_1+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_1+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_1+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_1+ -> ~b_2*  t )
     0.00000000E+00    2     1000012       -11   # BR(~chi_1+ -> ~nu_eL  e+  )
     0.00000000E+00    2     1000014       -13   # BR(~chi_1+ -> ~nu_muL  mu+ )
     0.00000000E+00    2     1000016       -15   # BR(~chi_1+ -> ~nu_tau1 tau+)
     0.00000000E+00    2    -1000011        12   # BR(~chi_1+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_1+ -> ~e_R+    nu_e)
     0.00000000E+00    2    -1000013        14   # BR(~chi_1+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_1+ -> ~mu_R+   nu_mu)
     9.25161117E-01    2    -1000015        16   # BR(~chi_1+ -> ~tau_1+  nu_tau)
     0.00000000E+00    2    -2000015        16   # BR(~chi_1+ -> ~tau_2+  nu_tau)
     7.48388828E-02    2     1000022        24   # BR(~chi_1+ -> ~chi_10  W+)
     0.00000000E+00    2     1000023        24   # BR(~chi_1+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_1+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_1+ -> ~chi_40  W+)
     0.00000000E+00    2     1000022        37   # BR(~chi_1+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_1+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_1+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_1+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000037     2.48689510E+00   # chargino2+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_2+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_2+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_2+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_2+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_2+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_2+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_2+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_2+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_2+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_2+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_2+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_2+ -> ~b_2*  t )
     2.00968837E-02    2     1000012       -11   # BR(~chi_2+ -> ~nu_eL  e+  )
     2.00968837E-02    2     1000014       -13   # BR(~chi_2+ -> ~nu_muL  mu+ )
     2.74507395E-02    2     1000016       -15   # BR(~chi_2+ -> ~nu_tau1 tau+)
     5.20406111E-02    2    -1000011        12   # BR(~chi_2+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_2+ -> ~e_R+    nu_e)
     5.20406111E-02    2    -1000013        14   # BR(~chi_2+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_2+ -> ~mu_R+   nu_mu)
     2.82859898E-04    2    -1000015        16   # BR(~chi_2+ -> ~tau_1+  nu_tau)
     5.66729336E-02    2    -2000015        16   # BR(~chi_2+ -> ~tau_2+  nu_tau)
     2.31513269E-01    2     1000024        23   # BR(~chi_2+ -> ~chi_1+  Z )
     6.76715120E-02    2     1000022        24   # BR(~chi_2+ -> ~chi_10  W+)
     2.93654849E-01    2     1000023        24   # BR(~chi_2+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_2+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_2+ -> ~chi_40  W+)
     1.78478848E-01    2     1000024        25   # BR(~chi_2+ -> ~chi_1+  h )
     0.00000000E+00    2     1000024        35   # BR(~chi_2+ -> ~chi_1+  H )
     0.00000000E+00    2     1000024        36   # BR(~chi_2+ -> ~chi_1+  A )
     0.00000000E+00    2     1000022        37   # BR(~chi_2+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_2+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_2+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_2+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000022     0.00000000E+00   # neutralino1 decays
#
#         PDG            Width
DECAY   1000023     2.07770048E-02   # neutralino2 decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000022        23   # BR(~chi_20 -> ~chi_10   Z )
     0.00000000E+00    2     1000024       -24   # BR(~chi_20 -> ~chi_1+   W-)
     0.00000000E+00    2    -1000024        24   # BR(~chi_20 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_20 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_20 -> ~chi_2-   W+)
     0.00000000E+00    2     1000022        25   # BR(~chi_20 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_20 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_20 -> ~chi_10   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_20 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_20 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_20 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_20 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_20 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_20 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_20 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_20 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_20 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_20 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_20 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_20 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_20 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_20 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_20 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_20 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_20 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_20 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_20 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_20 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_20 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_20 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_20 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_20 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_20 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_20 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_20 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_20 -> ~b_2*     b )
     0.00000000E+00    2     1000011       -11   # BR(~chi_20 -> ~e_L-     e+)
     0.00000000E+00    2    -1000011        11   # BR(~chi_20 -> ~e_L+     e-)
     2.95071995E-02    2     2000011       -11   # BR(~chi_20 -> ~e_R-     e+)
     2.95071995E-02    2    -2000011        11   # BR(~chi_20 -> ~e_R+     e-)
     0.00000000E+00    2     1000013       -13   # BR(~chi_20 -> ~mu_L-    mu+)
     0.00000000E+00    2    -1000013        13   # BR(~chi_20 -> ~mu_L+    mu-)
     2.95071995E-02    2     2000013       -13   # BR(~chi_20 -> ~mu_R-    mu+)
     2.95071995E-02    2    -2000013        13   # BR(~chi_20 -> ~mu_R+    mu-)
     4.40985601E-01    2     1000015       -15   # BR(~chi_20 -> ~tau_1-   tau+)
     4.40985601E-01    2    -1000015        15   # BR(~chi_20 -> ~tau_1+   tau-)
     0.00000000E+00    2     2000015       -15   # BR(~chi_20 -> ~tau_2-   tau+)
     0.00000000E+00    2    -2000015        15   # BR(~chi_20 -> ~tau_2+   tau-)
     0.00000000E+00    2     1000012       -12   # BR(~chi_20 -> ~nu_eL    nu_eb)
     0.00000000E+00    2    -1000012        12   # BR(~chi_20 -> ~nu_eL*   nu_e )
     0.00000000E+00    2     1000014       -14   # BR(~chi_20 -> ~nu_muL   nu_mub)
     0.00000000E+00    2    -1000014        14   # BR(~chi_20 -> ~nu_muL*  nu_mu )
     0.00000000E+00    2     1000016       -16   # BR(~chi_20 -> ~nu_tau1  nu_taub)
     0.00000000E+00    2    -1000016        16   # BR(~chi_20 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000025     1.91598495E+00   # neutralino3 decays
#          BR         NDA      ID1       ID2
     1.13226601E-01    2     1000022        23   # BR(~chi_30 -> ~chi_10   Z )
     2.11969194E-01    2     1000023        23   # BR(~chi_30 -> ~chi_20   Z )
     2.95329778E-01    2     1000024       -24   # BR(~chi_30 -> ~chi_1+   W-)
     2.95329778E-01    2    -1000024        24   # BR(~chi_30 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_30 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_30 -> ~chi_2-   W+)
     2.13076490E-02    2     1000022        25   # BR(~chi_30 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_30 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_30 -> ~chi_10   A )
     1.24538329E-02    2     1000023        25   # BR(~chi_30 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_30 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_30 -> ~chi_20   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_30 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_30 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_30 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_30 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_30 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_30 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_30 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_30 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_30 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_30 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_30 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_30 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_30 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_30 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_30 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_30 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_30 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_30 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_30 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_30 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_30 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_30 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_30 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_30 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_30 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_30 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_30 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_30 -> ~b_2*     b )
     5.57220455E-04    2     1000011       -11   # BR(~chi_30 -> ~e_L-     e+)
     5.57220455E-04    2    -1000011        11   # BR(~chi_30 -> ~e_L+     e-)
     1.25266782E-03    2     2000011       -11   # BR(~chi_30 -> ~e_R-     e+)
     1.25266782E-03    2    -2000011        11   # BR(~chi_30 -> ~e_R+     e-)
     5.57220455E-04    2     1000013       -13   # BR(~chi_30 -> ~mu_L-    mu+)
     5.57220455E-04    2    -1000013        13   # BR(~chi_30 -> ~mu_L+    mu-)
     1.25266782E-03    2     2000013       -13   # BR(~chi_30 -> ~mu_R-    mu+)
     1.25266782E-03    2    -2000013        13   # BR(~chi_30 -> ~mu_R+    mu-)
     5.26279239E-03    2     1000015       -15   # BR(~chi_30 -> ~tau_1-   tau+)
     5.26279239E-03    2    -1000015        15   # BR(~chi_30 -> ~tau_1+   tau-)
     6.72814564E-03    2     2000015       -15   # BR(~chi_30 -> ~tau_2-   tau+)
     6.72814564E-03    2    -2000015        15   # BR(~chi_30 -> ~tau_2+   tau-)
     3.18920485E-03    2     1000012       -12   # BR(~chi_30 -> ~nu_eL    nu_eb)
     3.18920485E-03    2    -1000012        12   # BR(~chi_30 -> ~nu_eL*   nu_e )
     3.18920485E-03    2     1000014       -14   # BR(~chi_30 -> ~nu_muL   nu_mub)
     3.18920485E-03    2    -1000014        14   # BR(~chi_30 -> ~nu_muL*  nu_mu )
     3.20245934E-03    2     1000016       -16   # BR(~chi_30 -> ~nu_tau1  nu_taub)
     3.20245934E-03    2    -1000016        16   # BR(~chi_30 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000035     2.58585079E+00   # neutralino4 decays
#          BR         NDA      ID1       ID2
     2.15369294E-02    2     1000022        23   # BR(~chi_40 -> ~chi_10   Z )
     1.85499971E-02    2     1000023        23   # BR(~chi_40 -> ~chi_20   Z )
     0.00000000E+00    2     1000025        23   # BR(~chi_40 -> ~chi_30   Z )
     2.49541430E-01    2     1000024       -24   # BR(~chi_40 -> ~chi_1+   W-)
     2.49541430E-01    2    -1000024        24   # BR(~chi_40 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_40 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_40 -> ~chi_2-   W+)
     6.93213268E-02    2     1000022        25   # BR(~chi_40 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_40 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_40 -> ~chi_10   A )
     1.47602336E-01    2     1000023        25   # BR(~chi_40 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_40 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_40 -> ~chi_20   A )
     0.00000000E+00    2     1000025        25   # BR(~chi_40 -> ~chi_30   h )
     0.00000000E+00    2     1000025        35   # BR(~chi_40 -> ~chi_30   H )
     0.00000000E+00    2     1000025        36   # BR(~chi_40 -> ~chi_30   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_40 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_40 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_40 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_40 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_40 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_40 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_40 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_40 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_40 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_40 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_40 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_40 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_40 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_40 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_40 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_40 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_40 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_40 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_40 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_40 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_40 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_40 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_40 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_40 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_40 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_40 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_40 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_40 -> ~b_2*     b )
     9.64835418E-03    2     1000011       -11   # BR(~chi_40 -> ~e_L-     e+)
     9.64835418E-03    2    -1000011        11   # BR(~chi_40 -> ~e_L+     e-)
     3.75684470E-03    2     2000011       -11   # BR(~chi_40 -> ~e_R-     e+)
     3.75684470E-03    2    -2000011        11   # BR(~chi_40 -> ~e_R+     e-)
     9.64835418E-03    2     1000013       -13   # BR(~chi_40 -> ~mu_L-    mu+)
     9.64835418E-03    2    -1000013        13   # BR(~chi_40 -> ~mu_L+    mu-)
     3.75684470E-03    2     2000013       -13   # BR(~chi_40 -> ~mu_R-    mu+)
     3.75684470E-03    2    -2000013        13   # BR(~chi_40 -> ~mu_R+    mu-)
     2.68215241E-03    2     1000015       -15   # BR(~chi_40 -> ~tau_1-   tau+)
     2.68215241E-03    2    -1000015        15   # BR(~chi_40 -> ~tau_1+   tau-)
     1.62289809E-02    2     2000015       -15   # BR(~chi_40 -> ~tau_2-   tau+)
     1.62289809E-02    2    -2000015        15   # BR(~chi_40 -> ~tau_2+   tau-)
     2.53796547E-02    2     1000012       -12   # BR(~chi_40 -> ~nu_eL    nu_eb)
     2.53796547E-02    2    -1000012        12   # BR(~chi_40 -> ~nu_eL*   nu_e )
     2.53796547E-02    2     1000014       -14   # BR(~chi_40 -> ~nu_muL   nu_mub)
     2.53796547E-02    2    -1000014        14   # BR(~chi_40 -> ~nu_muL*  nu_mu )
     2.54724352E-02    2     1000016       -16   # BR(~chi_40 -> ~nu_tau1  nu_taub)
     2.54724352E-02    2    -1000016        16   # BR(~chi_40 -> ~nu_tau1* nu_tau )
pythia8-8.1.86.orig/examples/main84.cmnd0000644000175000017500000000107212357054702016125 0ustar  sunsun! main84.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// specify statistics parameters
Main:numberOfEvents      = 100  // number of events generated

// specify shower options
SpaceShower:MEafterFirst = off
TimeShower:MEafterFirst  = off

// specify merging options
Merging:doMGMerging      = on
Merging:Process          = pp>e+ve
Merging:TMS              = 30.
Merging:nJetMax          = 2

// specify PDF set
PDF:useLHAPDF            = on
PDF:LHAPDFset            = cteq6ll.LHpdf




pythia8-8.1.86.orig/examples/main71.cc0000644000175000017500000002017012357054701015564 0ustar  sunsun// main71.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Richard Corke.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

/*
 * Simple example of fastjet analysis. Roughly follows analysis of:
 * T. Aaltonen et al. [CDF Collaboration],
 * Measurement of the cross section for W-boson production in association
 * with jets in ppbar collisions at sqrt(s)=1.96$ TeV
 * Phys. Rev. D 77 (2008) 011108
 * arXiv:0711.4044 [hep-ex]
 *
 * Cuts:
 *   ET(elec)     > 20GeV
 *   |eta(elec)|  < 1.1
 *   ET(missing)  > 30GeV
 *   ET(jet)      > 20GeV
 *   |eta(jet)|   < 2.0
 *   deltaR(elec, jet) > 0.52
 * Not used:
 *   mT(W)        > 20GeV
 */

#include "Pythia8/Pythia.h"

// This is the minimal interface needed to access FastJet.
// A more sophisticated interface is demonstrated in main72.cc.
#include "fastjet/PseudoJet.hh"
#include "fastjet/ClusterSequence.hh"

using namespace Pythia8;

// Experimental cross section
// sigma(W -> ev + >= n-jet; ET(n'th-jet) > 25GeV), n = 0, 1, 2, 3, 4
const double expCrossSec[] = { 798.0, 53.5, 6.8, 0.84, 0.074 };

int main() {
  // Settings
  int  nEvent = 10000;
  bool doMPI  = true;
    
  // Generator
  Pythia pythia;

  // Single W production
  pythia.readString("WeakSingleBoson:ffbar2W = on");
  // Force decay W->ev
  pythia.readString("24:onMode = off");
  pythia.readString("24:onIfAny = 11 12");
  // Multiparton Interactions
  if (doMPI == false) pythia.readString("PartonLevel:MPI = off");

  // Initialisation, p pbar @ 1.96 TeV
  pythia.readString("Beams:idB = -2212");
  pythia.readString("Beams:eCM = 1960.");
  pythia.init();

  // Histograms
  Hist dSigma1("1-jet cross-section (E_jet1 > 20 GeV)", 70, 0.0, 350.0);
  Hist dSigma2("2-jet cross-section (E_jet2 > 20 GeV)", 38, 0.0, 190.0);
  Hist dSigma3("3-jet cross-section (E_jet3 > 20 GeV)", 16, 0.0, 80.0);
  Hist dSigma4("4-jet cross-section (E_jet4 > 20 GeV)",  7, 0.0, 35.0);
  Hist *dSigmaHist[5] = { NULL, &dSigma1, &dSigma2, &dSigma3, &dSigma4 };
  double dSigmaBin[5] = { 0.0, 350.0 / 70.0, 190.0 / 38.0,
                          80.0 / 16.0, 35.0 / 7.0 };

  // Fastjet analysis - select algorithm and parameters
  double Rparam = 0.4;
  fastjet::Strategy               strategy = fastjet::Best;
  fastjet::RecombinationScheme    recombScheme = fastjet::E_scheme;
  fastjet::JetDefinition         *jetDef = NULL;
  jetDef = new fastjet::JetDefinition(fastjet::kt_algorithm, Rparam,
                                      recombScheme, strategy);

  // Fastjet input
  std::vector  fjInputs;

  // Statistics for later
  int nEventAccept25[5] = { 0, 0, 0, 0, 0 };
  int vetoCount[4] = { 0, 0, 0, 0 };
  const char *vetoStr[] = { "ET(elec)", "|eta(elec)|",
                            "ET(missing)", "deltaR(elec, jet)" };
  bool firstEvent = true;

  // Begin event loop. Generate event. Skip if error.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {
    if (!pythia.next()) continue;

    // Need to find the electron from the W decay - cheat a bit here
    // and find it from the W in the event record
    int idxW = -1;
    for (int i = pythia.event.size() - 1; i > 0; i--) {
      if (pythia.event[i].idAbs() == 24) {
        idxW = i;
        break;
      }
    }
    if (idxW == -1) {
      cout << "Error: Could not find W" << endl;
      continue;
    }

    // Find the electron from the W decay
    int idxElec = idxW;
    while(true) {
      int daughter = pythia.event[idxElec].daughter1();
      if   (daughter == 0) break;
      else                 idxElec = daughter;
    }
    if (pythia.event[idxElec].idAbs() != 11 ||
       !pythia.event[idxElec].isFinal()) {
      cout << "Error: Found incorrect decay product of the W" << endl;
      continue;
    }

    // Electron cuts
    if (pythia.event[idxElec].pT() < 20.0) {
      vetoCount[0]++;
      continue;
    }
    if (abs(pythia.event[idxElec].eta()) > 1.1) {
      vetoCount[1]++;
      continue;
    }
 
    // Reset Fastjet input
    fjInputs.resize(0);

    // Keep track of missing ET
    Vec4 missingETvec;

    // Loop over event record to decide what to pass to FastJet
    for (int i = 0; i < pythia.event.size(); ++i) {
      // Final state only
      if (!pythia.event[i].isFinal())        continue;

      // No neutrinos
      if (pythia.event[i].idAbs() == 12 || pythia.event[i].idAbs() == 14 ||
          pythia.event[i].idAbs() == 16)     continue;

      // Only |eta| < 3.6
      if (fabs(pythia.event[i].eta()) > 3.6) continue;

      // Missing ET
      missingETvec += pythia.event[i].p();

      // Do not include the electron from the W decay
      if (i == idxElec)                      continue;

      // Store as input to Fastjet
      fjInputs.push_back( fastjet::PseudoJet( pythia.event[i].px(),
        pythia.event[i].py(), pythia.event[i].pz(), pythia.event[i].e() ) );
    }

    if (fjInputs.size() == 0) {
      cout << "Error: event with no final state particles" << endl;
      continue;
    }

    // Run Fastjet algorithm
    vector  inclusiveJets, sortedJets;
    fastjet::ClusterSequence clustSeq(fjInputs, *jetDef);

    // For the first event, print the FastJet details
    if (firstEvent) {
      cout << "Ran " << jetDef->description() << endl;
      cout << "Strategy adopted by FastJet was "
           << clustSeq.strategy_string() << endl << endl;
      firstEvent = false;
    }

    // Extract inclusive jets sorted by pT (note minimum pT of 20.0 GeV)
    inclusiveJets = clustSeq.inclusive_jets(20.0);
    sortedJets    = sorted_by_pt(inclusiveJets);

    // Missing ET cut
    double missingET = missingETvec.pT();
    if (missingET < 30.0) {
      vetoCount[2]++;
      continue;
    }

    // Keep track of jets with pT > 20/25 GeV
    int  jetCount20 = 0, jetCount25 = 0;
    // For the deltaR calculation below
    bool vetoEvent = false;
    fastjet::PseudoJet fjElec(pythia.event[idxElec].px(),
                              pythia.event[idxElec].py(),
                              pythia.event[idxElec].pz(),
                              pythia.event[idxElec].e());
 
    for (unsigned int i = 0; i < sortedJets.size(); i++) {
      // Only count jets that have |eta| < 2.0
      if (fabs(sortedJets[i].rap()) > 2.0) continue;
      // Check distance between W decay electron and jets
      if (fjElec.squared_distance(sortedJets[i]) < 0.52 * 0.52)
        { vetoEvent = true; break; }

      // Fill dSigma histograms and count jets with ET > 25.0
      if (sortedJets[i].perp() > 25.0)
        jetCount25++;

      if (jetCount20 <= 3)
        dSigmaHist[++jetCount20]->fill(sortedJets[i].perp());
    }
    if (vetoEvent) { vetoCount[3]++; continue; }

    if (jetCount25 > 4) jetCount25 = 4;
    for (int i = jetCount25; i >= 0; i--)
      nEventAccept25[i]++;

  // End of event loop.
  }

  // Statistics
  pythia.stat();

  // Output histograms
  double sigmapb = pythia.info.sigmaGen() * 1.0E9;

  for (int i = 1; i <= 4; i++)
    (*dSigmaHist[i]) = ((*dSigmaHist[i]) * sigmapb) / nEvent / dSigmaBin[i];
  cout << dSigma1 << dSigma2 << dSigma3 << dSigma4 << endl;

  // Output cross-sections
  cout << "Jet algorithm is kT" << endl;
  cout << "Multiparton interactions are switched "
       << ( (doMPI) ? "on" : "off" ) << endl;
  cout << endl << nEvent << " events generated. " << nEventAccept25[0]
       << " events passed cuts." << endl;
  cout << "Vetos:" << endl;
  for (int i = 0; i < 4; i++)
    cout << "  " << vetoStr[i] << " = " << vetoCount[i] << endl;

  cout << endl << "Inclusive cross-sections (pb):" << endl;
  for (int i = 0; i < 5; i++) {
    cout << scientific << setprecision(3)
         << "  " << i << "-jet - Pythia = "
         << ((double) nEventAccept25[i] / (double) nEvent) * sigmapb;
    cout << ", Experimental = " << expCrossSec[i];
    if (i != 0) {
      cout << scientific << setprecision(3)
           << ", Pythia ratio to " << i - 1 << "-jet = "
           << ((double) nEventAccept25[i] / (double) nEventAccept25[i - 1]);
      cout << scientific << setprecision(3)
           << ", Experimental ratio to " << i - 1 << "-jet = "
           << expCrossSec[i] / expCrossSec[i - 1];
    }
    cout << endl;
  }

  // Done.
  delete jetDef;
  return 0;
}

pythia8-8.1.86.orig/examples/main04.cmnd0000644000175000017500000000555012357054675016133 0ustar  sunsun! File: main04.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The changes here are illustrative, not always physics-motivated.

! 1) Settings used in the main program.
Main:numberOfEvents = 1000         ! number of events to generate
Main:timesAllowErrors = 10         ! how many aborts before run stops

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = off ! list changed particle data
Next:numberCount = 500             ! print message every n events
Next:numberShowInfo = 3            ! print event information n times
Next:numberShowProcess = 0         ! print process record n times
Next:numberShowEvent = 0           ! print event record n times

! 3) Beam parameter settings. Values below agree with default ones.
Beams:idA = 2212                   ! first beam, p = 2212, pbar = -2212
Beams:idB = 2212                   ! second beam, p = 2212, pbar = -2212
Beams:eCM = 14000.                 ! CM energy of collision

! 4) Settings for the hard-process generation.
SoftQCD:all = on                   ! Allow total sigma = elastic/SD/DD/ND
! Optionally only study one or a few processes at a time.
#SoftQCD:elastic = on               ! Elastic
#SoftQCD:singleDiffractive = on     ! Single diffractive
#SoftQCD:doubleDiffractive = on     ! Double diffractive
#SoftQCD:centralDiffractive = on    ! Central diffractive
#SoftQCD:nonDiffractive = on        ! Nondiffractive (inelastic)
#SoftQCD:inelastic = on             ! All inelastic

! 5) Optionally switch on hand-set cross section and Coulomb term.
! Note: these values are illustrative only, not to be taken seriously.
#SigmaTotal:setOwn = on             ! set your own total/elastic/diffr. sigma
#SigmaTotal:sigmaTot = 106.         ! total cross section (excluding Coulomb)
#SigmaTotal:sigmaXX = 5.            ! reduce double diffractive cross section
#SigmaElastic:setOwn = on           ! suboption for Coulomb term in elastic
#SigmaElastic:tAbsMin = 4e-5        ! divergence requires lower cutoff

! 6) Optionally select diffractive model.
Diffraction:PomFlux = 5             ! the MBR model for diffraction

! 7) Multiparton interactions and impact parameter picture.
! Note: these values are illustrative only, not to be taken seriously.
MultipartonInteractions:pT0Ref = 2.
MultipartonInteractions:ecmRef = 1960.
MultipartonInteractions:ecmPow = 0.16
MultipartonInteractions:pTmin = 0.2
MultipartonInteractions:bProfile = 2
#MultipartonInteractions:coreRadius = 0.4
#MultipartonInteractions:coreFraction = 0.5
MultipartonInteractions:expPow = 1.

! 8) Other settings. Can be expanded as desired.
! Note: may overwrite some of the values above, so watch out.
#Tune:pp = 6                         ! use Tune 4Cx

pythia8-8.1.86.orig/examples/main32_unw.par0000644000175000017500000000333012357054677016662 0ustar  sunsun W +           3  jets
 W-> ell nu
 =======================================
 Generation cuts for the partonic event sample:
      Light jets:
 ptmin=   15.0000000000000       |etamax|=   6.00000000000000       dR(j-j)>  0.700000000000000     
      Leptons:
 ptmin(lep)=   0.00000000000000       |etamax|=   10.0000000000000       Et(miss)>   0.00000000000000       dR(l-j)>   0.00000000000000     
************** run parameters 
   3 ! hard process code
   0.000   4.700 174.300  80.419  91.188 120.000 ! mc,mb,mt,mw,mz,mh
           2   1.00000000000000        ! ih2
           3   4000.00000000000        ! ebeam
           4   9.00000000000000        ! ndns
           5   1.00000000000000        ! iqopt
           6   1.00000000000000        ! qfac
           7   1.00000000000000        ! ickkw
           8   1.00000000000000        ! ktfac
          10   3.00000000000000        ! njets
          30   15.0000000000000        ! ptjmin
          33   0.00000000000000        ! ptlmin
          34   0.00000000000000        ! metmin
          40   6.00000000000000        ! etajmax
          43   10.0000000000000        ! etalmax
          50  0.700000000000000        ! drjmin
          55   0.00000000000000        ! drlmin
          90   28639.0000000000        ! iseed1
          91   4774.00000000000        ! iseed2
         110  0.260000000000000        ! xlclu
         111   1.00000000000000        ! lpclu
         151   1.00000000000000        ! iwdecmod
         160   1.00000000000000        ! cluopt
         190   29570.0000000000        ! iseed3
         191   60156.0000000000        ! iseed4
 ************** end parameters
   912.905 0.0914176   ! Crosssection +- error (pb)
   100 29787.4  ! unwtd events, lum (pb-1) Njob= 2
pythia8-8.1.86.orig/examples/main53.cc0000644000175000017500000000432212357054701015565 0ustar  sunsun// main53.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Peter Skands, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how to interface an external process with an incoming photon
// in a hadron beam, using the MRST2004QED PDF set.
// All input apart from the name of the external LHEF file is specified in the
// main53.cmnd file.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Generator. Shorthand for the event.
  Pythia pythia;
  Event& event = pythia.event;

  // Read in commands from external file.
  pythia.readFile("main53.cmnd");

  // Extract settings to be used in the main program.
  int nEvent = pythia.mode("Main:numberOfEvents");

  // Initialize. Either of two opions, to be picked in main53.cmnd.
  // 1) Read in external event with incoming photon in the ME,
  // from pre-generated .lhe file (thanks to SANC and R. Sadykov).
  // 2) Use internal fermion gamma -> W+- fermion' process.
  pythia.init();

  // Histograms for pT distribution in gluon production vertex.
  Hist pTprim( "pT of photon production, no ISR", 100, 0., 100.);
  Hist pTwith( "pT of photon production, with ISR", 100, 0., 100.);

  // Begin event loop.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if failure.
    if (!pythia.next()) {
      break;
    }

    // Analyze event to find branching where photon is produced.
    int iGam = (event[3].id() == 22) ? 3 : 4;
    int iGamMother = iGam;
    for ( ; ; ) {
      iGamMother = event[iGam].mother1();
      if (iGamMother < iGam || event[iGamMother].id() != 22) break;
      iGam = iGamMother;
    }

    // Find and histogram pT in this branching.
    if (iGamMother < iGam) pTprim.fill( event[iGam].pT() );
    else {
      int iQ = iGamMother;
      int size = event.size();
      do ++iQ;
      while (event[iQ].status() != -43 && iQ < size - 1);
      if (event[iQ].status() == -43) pTwith.fill( event[iQ].pT() );
    }

  // End of event loop.
  }

  // Final statistics and histogram output.
  pythia.stat();
  cout << pTprim << pTwith;

  return 0;
}

pythia8-8.1.86.orig/examples/powheg-dijets.lhe0000644000175000017500000025117712357054721017443 0ustar  sunsun


     2212     2212  3.50000E+03  3.50000E+03     -1     -1     -1     -1      3      1
  3.59063E+09  8.70035E+06  1.00000E+00  10001


      5  10001  1.00000E+00  1.39689E+01 -1.00000E+00  1.80299E-01
       2    -1     0     0   513     0  0.000000000E+00  0.000000000E+00  2.025825377E+02  2.025825377E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00 -8.886365688E+00  8.886365688E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -1.757485826E+00 -1.132206784E+01 -4.871218931E+00  1.245017070E+01  5.559551151E-07  0.00000E+00  9.000E+00
       2     1     1     2   514     0 -1.838883806E+00  5.775579864E-01  3.945604550E+01  3.950447434E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   514  3.596369631E+00  1.074450985E+01  1.591113454E+02  1.595142583E+02  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  2.92070E+00 -1.00000E+00  3.00301E-01
      21    -1     0     0   512   514  0.000000000E+00  0.000000000E+00  5.352775261E+00  5.352775261E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -2.866076030E+02  2.866076030E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -3.714624914E+00  8.321723997E+00 -2.974322787E+01  3.110802361E+01  4.768371582E-07  0.00000E+00  9.000E+00
       1     1     1     2   515     0  3.764497219E+00 -1.124193878E+01 -2.555739960E+02  2.558490354E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   515 -4.987230444E-02  2.920214783E+00  4.062396063E+00  5.003319238E+00  3.862822472E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.28951E+00 -1.00000E+00  2.22264E-01
      21    -1     0     0   511   515  0.000000000E+00  0.000000000E+00  4.851456743E+02  4.851456743E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   513  0.000000000E+00  0.000000000E+00 -6.905248595E+00  6.905248595E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   514  1.573596808E-03  1.911183384E-04  1.267258707E+00  1.309521726E+00  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -1.009717285E+01 -5.042428833E-01  4.800646144E+02  4.801710540E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   514   515  1.009559925E+01  5.040517649E-01 -3.091447345E+00  1.057034716E+01  1.147292647E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  9.23656E+00 -1.00000E+00  1.99770E-01
      21    -1     0     0   511   516  0.000000000E+00  0.000000000E+00  3.672122413E+01  3.672122413E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   515  0.000000000E+00  0.000000000E+00 -5.116929964E+02  5.116929964E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   515 -1.091847545E+01  9.529207493E+00 -5.051409014E+02  5.053487401E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   514   516  1.744717363E+01 -2.995433884E+00  2.868903086E+01  3.371108102E+01  1.545128989E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -6.528698182E+00 -6.533773608E+00  1.480098231E+00  9.354399409E+00  2.980232239E-08  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.90558E+01 -1.00000E+00  1.68078E-01
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00  7.171590349E+00  7.171590349E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -6.171732485E+01  6.171732485E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   511  3.102402139E-01  1.306908922E+01 -5.270319244E+01  5.430261352E+01  5.000000000E-01  0.00000E+00  9.000E+00
       3     1     1     2   514     0 -5.489191008E-01  4.107935832E-01  3.668537808E-01  9.244702504E-01  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   514  2.386788869E-01 -1.347988280E+01 -2.209395844E+00  1.366183143E+01  4.777675731E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.52143E+01 -1.00000E+00  1.48325E-01
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00  1.436568471E+02  1.436568471E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   516  0.000000000E+00  0.000000000E+00 -1.095212165E+01  1.095212165E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   516 -1.195754185E+01 -1.492169870E+01  6.988157664E-01  1.913447785E+01  7.317517098E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   517  1.270898322E+01  1.046109488E+00  3.104771651E+01  3.356446484E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   517   511 -7.514413720E-01  1.387558921E+01  1.009581932E+02  1.019100261E+02  2.336015456E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  2.72370E+01 -1.00000E+00  1.55976E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  1.503016464E+02  1.503016464E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00 -2.927553747E+00  2.927553747E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   513  4.261699863E+00  6.036829466E+00  1.011550829E+01  1.253147253E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   511  4.116595331E-01  8.445469111E+00  1.012915582E+02  1.016438644E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   513   514 -4.673359396E+00 -1.448229858E+01  3.596702623E+01  3.905386326E+01  6.743495762E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.04993E+00 -1.00000E+00  2.24836E-01
      21    -1     0     0   515   516  0.000000000E+00  0.000000000E+00  4.651329732E+00  4.651329732E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   515  0.000000000E+00  0.000000000E+00 -2.842309549E+01  2.842309549E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   512 -8.164267495E-01  4.313495023E+00 -1.362155366E+01  1.431532102E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   516 -1.578861931E+00 -9.638925683E+00 -4.998538023E+00  1.097210443E+01  1.884864366E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511  2.395288680E+00  5.325430660E+00 -5.151674080E+00  7.786999769E+00  1.032382731E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.00842E+00 -1.00000E+00  2.15409E-01
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  2.263398696E+02  2.263398696E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -5.612082780E+00  5.612082780E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   511  4.695774850E+00 -1.109232266E+01  1.392579552E+00  1.212555984E+01  1.769414855E-07  0.00000E+00  9.000E+00
       2     1     1     2   514     0  2.794633324E-01  4.141204047E+00  1.338751814E+02  1.339399148E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   513   514 -4.975238182E+00  6.951118617E+00  8.546002583E+01  8.588647775E+01  9.536743164E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.01455E+00 -1.00000E+00  2.15355E-01
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00  5.085803871E+00  5.085803871E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   512  0.000000000E+00  0.000000000E+00 -2.052145326E+02  2.052145326E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   516  2.136861699E+00  1.130435867E+01 -1.381522660E+01  1.797818647E+01  1.685873940E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -7.680446484E+00 -7.006385530E+00 -6.266767108E+00  1.213882475E+01  8.429369702E-08  0.00000E+00  9.000E+00
      21     1     1     2   516   512  5.543584785E+00 -4.297973137E+00 -1.800467350E+02  1.801833253E+02  3.814697266E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.11218E+01 -1.00000E+00  1.90511E-01
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00  3.758843172E+02  3.758843172E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   511  0.000000000E+00  0.000000000E+00 -3.893320938E+00  3.893320938E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   517 -2.135752439E+01 -2.365699911E+00  3.161778829E+02  3.169072325E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   516   512  1.049098373E+01 -3.631238629E-03  4.835367205E+01  4.947866564E+01  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   517   511  1.086654066E+01  2.369331149E+00  7.459441381E+00  1.339174006E+01  1.685873940E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.12590E+00 -1.00000E+00  2.06722E-01
      21    -1     0     0   513   512  0.000000000E+00  0.000000000E+00  2.889024886E+00  2.889024886E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   515     0  0.000000000E+00  0.000000000E+00 -1.492716545E+03  1.492716545E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   512 -8.777635497E+00  8.672579460E+00 -1.235287418E+01  1.746006930E+01  1.039242493E-06  0.00000E+00  9.000E+00
       2     1     1     2   513     0  5.051663499E+00 -1.501868802E+01 -1.431329067E+03  1.431416811E+03  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   515   514  3.725971998E+00  6.346108564E+00 -4.614557854E+01  4.672868905E+01  9.536743164E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.02290E+00 -1.00000E+00  2.62780E-01
       3    -1     0     0   515     0  0.000000000E+00  0.000000000E+00  3.308765605E+02  3.308765605E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   513  0.000000000E+00  0.000000000E+00 -1.463170616E+00  1.463170616E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   515     0  1.779115507E+00  1.241258787E+01  3.944866379E+01  4.139497028E+01  3.300000131E-01  0.00000E+00  9.000E+00
       3     1     1     2   511     0  5.769085856E-01 -1.703187592E+01  2.577933593E+02  2.583565050E+02  5.000000000E-01  0.00000E+00  9.000E+00
      -1     1     1     2     0   513 -2.356024093E+00  4.619288050E+00  3.217136682E+01  3.258825578E+01  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.01464E+01 -1.00000E+00  1.94973E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  7.608259305E-01  7.608259305E-01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   514  0.000000000E+00  0.000000000E+00 -1.636812327E+02  1.636812327E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -1.458326855E+00  8.171925178E+00 -6.856140461E+01  6.906209728E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   511 -1.380770245E+00 -4.964890166E+00 -1.419267852E+01  1.509929748E+01  2.920019320E-07  0.00000E+00  9.000E+00
      21     1     1     2   516   515  2.839097101E+00 -3.207035012E+00 -8.016632360E+01  8.028066383E+01  9.536743164E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.01595E+01 -1.00000E+00  1.94908E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  1.965750106E+00  1.965750106E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   511  0.000000000E+00  0.000000000E+00 -3.793471119E+02  3.793471119E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   517 -1.269416506E+01  5.042349061E+00 -2.706079151E+01  3.031259718E+01  1.430511475E-06  0.00000E+00  9.000E+00
      21     1     1     2   516   514  8.093380534E+00  4.015699950E+00 -2.507538172E+02  2.509165310E+02  4.672030912E-06  0.00000E+00  9.000E+00
      21     1     1     2   517   511  4.600784531E+00 -9.058049011E+00 -9.956675309E+01  1.000837339E+02  2.336015456E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.47095E+01 -1.00000E+00  1.78139E-01
      21    -1     0     0   511   514  0.000000000E+00  0.000000000E+00  1.873581492E-01  1.873581492E-01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00 -7.922880805E+02  7.922880805E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   514  1.939163711E+00  9.719657106E+00 -1.951070650E+02  1.953589205E+02  3.300000131E-01  0.00000E+00  9.000E+00
       1     1     1     2   513     0 -9.154207376E-02 -1.662958520E+00 -2.271070378E+01  2.277408126E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   513 -1.847621637E+00 -8.056698587E+00 -5.742829535E+02  5.743424369E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  2.41662E+01 -1.00000E+00  1.59824E-01
      21    -1     0     0   515   513  0.000000000E+00  0.000000000E+00  2.588214818E+01  2.588214818E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   516  0.000000000E+00  0.000000000E+00 -1.898370953E+02  1.898370953E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   516  1.019481211E+01 -5.090287400E+00 -1.772407412E+02  1.776066596E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -2.923347759E+00 -1.146766173E+01  1.592070647E+01  1.983739202E+01  1.685873940E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -7.271464350E+00  1.655794913E+01 -2.634912452E+00  1.827519184E+01  4.308471768E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.11482E+00 -1.00000E+00  2.06799E-01
      -3    -1     0     0     0   513  0.000000000E+00  0.000000000E+00  3.170417650E+02  3.170417650E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00 -1.532701140E+01  1.532701140E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   511  4.904197442E+00 -9.650585065E+00  3.120313039E+02  3.122194253E+02  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -4.937983935E+00  1.434516151E+00 -1.075548919E+01  1.192149611E+01  9.461944024E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   512  3.378649237E-02  8.216068914E+00  4.389388906E-01  8.227854962E+00  2.172198852E-08  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.65313E+00 -1.00000E+00  2.18648E-01
       3    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  2.437987856E+01  2.437987856E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   512  0.000000000E+00  0.000000000E+00 -6.641382175E+00  6.641382175E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -5.840597146E+00  1.961857584E+00  3.255811297E+00  6.968627369E+00  1.884864366E-07  0.00000E+00  9.000E+00
       3     1     1     2   515     0  9.336934872E+00 -1.969081957E+00  1.716532232E+01  1.964571014E+01  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   513   515 -3.496337726E+00  7.224373658E-03 -2.682637241E+00  4.406923218E+00  2.546311541E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.37716E+00 -1.00000E+00  2.12313E-01
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00  5.725926365E+00  5.725926365E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   516  0.000000000E+00  0.000000000E+00 -1.367145692E+02  1.367145692E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   516  7.796223859E+00 -2.407687316E+00 -2.725308504E+01  2.844835160E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -1.309182990E+01  7.543733902E+00 -1.053602679E+02  1.064381979E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   513   512  5.295606038E+00 -5.136046586E+00  1.624710081E+00  7.553946035E+00  3.223614045E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.90980E+01 -1.00000E+00  1.67997E-01
      21    -1     0     0   515   513  0.000000000E+00  0.000000000E+00  5.983648270E+00  5.983648270E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   515  0.000000000E+00  0.000000000E+00 -1.942772803E+02  1.942772803E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   513  8.814369346E+00  5.970869460E+00  5.293649842E-01  1.065948481E+01  6.089453918E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -4.162621071E+00  4.234344976E+00 -6.227910508E+01  6.256152189E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   511 -4.651748275E+00 -1.020521444E+01 -1.265438919E+02  1.270399219E+02  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.93055E+00 -1.00000E+00  2.43662E-01
      21    -1     0     0   516   515  0.000000000E+00  0.000000000E+00  7.477562649E+01  7.477562649E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -8.406039132E+00  8.406039132E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   511 -1.226778562E+01  2.966806862E+00 -1.516212595E+00  1.271217556E+01  1.490116119E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   512  9.372298029E+00  1.023995755E+00  1.781001604E+01  2.015155599E+01  2.384185791E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   515  2.895487590E+00 -3.990802617E+00  5.007578392E+01  5.031793407E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.84645E+00 -1.00000E+00  2.67429E-01
      21    -1     0     0   514   511  0.000000000E+00  0.000000000E+00  5.152376031E+01  5.152376031E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   517   513  0.000000000E+00  0.000000000E+00 -7.862688491E+00  7.862688491E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   515 -1.599406533E+00  1.124405366E+01  4.314313317E+01  4.461296655E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   517   511 -2.173236380E+00 -1.049417797E+01 -6.976466321E-01  1.073952692E+01  1.705515853E-07  0.00000E+00  9.000E+00
      21     1     1     2   515   513  3.772642913E+00 -7.498756894E-01  1.215585279E+00  4.033955338E+00  8.688795410E-08  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.01254E+00 -1.00000E+00  2.63042E-01
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00  1.346195548E+02  1.346195548E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   516  0.000000000E+00  0.000000000E+00 -2.179811048E+01  2.179811048E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   516 -1.148475502E+01  2.105395402E+00  1.293160128E+02  1.298420712E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   513  9.067607047E+00 -6.574527579E-01 -2.006424080E+01  2.202788007E+01  1.168007728E-06  0.00000E+00  9.000E+00
      21     1     1     2   515   511  2.417147974E+00 -1.447942644E+00  3.569672346E+00  4.547714028E+00  4.214684851E-08  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.21723E+00 -1.00000E+00  2.58070E-01
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00  3.204844090E+00  3.204844090E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   514  0.000000000E+00  0.000000000E+00 -2.461907340E+02  2.461907340E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   512 -1.335368470E+00 -5.896790013E-01 -2.241326834E+01  2.246631985E+01  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   515   514  1.086204473E+01  3.454879124E+00 -7.544397788E+00  1.366887499E+01  5.960464478E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -9.526676261E+00 -2.865200123E+00 -2.130282238E+02  2.132603833E+02  3.814697266E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.17666E+01 -1.00000E+00  1.87876E-01
      21    -1     0     0   514   511  0.000000000E+00  0.000000000E+00  1.145003123E+03  1.145003123E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   513  0.000000000E+00  0.000000000E+00 -3.578053723E-01  3.578053723E-01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   515  6.535005086E+00  7.261633138E+00  1.106604964E+02  1.110920027E+02  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   513 -8.646304788E+00 -2.763487339E-01  9.248257443E+02  9.248662023E+02  1.525878906E-05  0.00000E+00  9.000E+00
      21     1     1     2   515   511  2.111299702E+00 -6.985284404E+00  1.091590767E+02  1.094027230E+02  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.63653E+00 -1.00000E+00  2.73498E-01
      21    -1     0     0   512   515  0.000000000E+00  0.000000000E+00  1.086934329E+01  1.086934329E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   512  0.000000000E+00  0.000000000E+00 -4.469333396E+01  4.469333396E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   516  1.407998855E+01 -5.368581571E+00 -3.619989177E+01  3.921096670E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   513 -1.019581210E+01  1.590791353E+00  3.344179628E+00  1.084752225E+01  4.318766816E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   515 -3.884176448E+00  3.777790218E+00 -9.682785345E-01  5.504188308E+00  1.769414855E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.87682E+00 -1.00000E+00  2.26801E-01
      21    -1     0     0   514   516  0.000000000E+00  0.000000000E+00  3.671703103E+01  3.671703103E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   515  0.000000000E+00  0.000000000E+00 -7.776545320E+01  7.776545320E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   515 -1.471244849E+01  5.260498817E+00  6.224521207E+00  1.681884814E+01  2.230201594E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   516  1.743154608E+01 -1.047044737E+01  2.094550470E+01  2.919252018E+01  3.371747881E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -2.719097589E+00  5.209948556E+00 -6.821844808E+01  6.847111591E+01  1.348699152E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.68757E+01 -1.00000E+00  1.72650E-01
      21    -1     0     0   511   512  0.000000000E+00  0.000000000E+00  3.105076759E+01  3.105076759E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -2.599301473E+01  2.599301473E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   514  2.634813700E+00  5.563429476E+00  4.568736960E+00  7.673085962E+00  3.300000131E-01  0.00000E+00  9.000E+00
       2     1     1     2   513     0 -1.458662538E+00 -1.159434074E+01 -2.261806787E+01  2.546060345E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   512 -1.176151161E+00  6.030911267E+00  2.310708377E+01  2.391009290E+01  4.768371582E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.87717E+01 -1.00000E+00  1.68630E-01
      21    -1     0     0   515   513  0.000000000E+00  0.000000000E+00  5.717133244E+00  5.717133244E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00 -4.183373072E+01  4.183373072E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   512  8.884026426E+00  2.707876256E+00 -6.068792437E+00  1.109453744E+01  2.064765462E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -1.297656867E-01 -8.268502291E+00 -2.143649861E+01  2.297625822E+01  4.129530925E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   511 -8.754260739E+00  5.560626035E+00 -8.611306429E+00  1.348006830E+01  3.576278687E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.73180E+00 -1.00000E+00  2.17907E-01
      21    -1     0     0   516   511  0.000000000E+00  0.000000000E+00  4.914440924E+01  4.914440924E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   517  0.000000000E+00  0.000000000E+00 -8.982695463E+01  8.982695463E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   517 -1.526023727E+01 -4.486387183E-01 -8.759906113E+01  8.891946709E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   511  1.319891842E+01 -7.967716506E-01  2.780268289E+01  3.078693665E+01  7.539457465E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   512  2.061318850E+00  1.245410369E+00  1.911383285E+01  1.926496013E+01  6.307962682E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.59211E+00 -1.00000E+00  2.50003E-01
      21    -1     0     0   513   512  0.000000000E+00  0.000000000E+00  6.132162812E+00  6.132162812E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   515  0.000000000E+00  0.000000000E+00 -6.887931502E+01  6.887931502E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   515  7.215639424E+00 -7.328276808E+00 -6.228666349E+01  6.313000508E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   511 -1.919700756E+00  5.163286888E+00  1.701241911E+00  5.765327963E+00  3.874301910E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -5.295938668E+00  2.164989919E+00 -2.161730631E+00  6.116144786E+00  1.604904177E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.89315E+00 -1.00000E+00  2.01775E-01
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00  3.990018490E+01  3.990018490E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -6.546328394E+00  6.546328394E+00  0.000000000E+00  0.00000E+00  9.000E+00
       5     1     1     2   514     0  4.838662847E+00 -5.976221143E+00  1.013497496E+01  1.359726430E+01  4.800000191E+00  0.00000E+00  9.000E+00
       3     1     1     2   511     0 -1.015531848E+01  6.407040077E+00  4.552857063E+00  1.285142651E+01  5.000000000E-01  0.00000E+00  9.000E+00
      -5     1     1     2     0   511  5.316655630E+00 -4.308189343E-01  1.866602449E+01  1.999782248E+01  4.800000191E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.00805E+01 -1.00000E+00  1.95297E-01
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00  6.507867423E+01  6.507867423E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00 -8.800605422E+00  8.800605422E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   515 -4.880511218E-01 -1.457771013E+01  2.139892173E-01  1.458744727E+01  8.847074275E-08  0.00000E+00  9.000E+00
       5     1     1     2   515     0  1.720589807E+00  3.014265618E+00  2.664859843E+01  2.729897483E+01  4.800000191E+00  0.00000E+00  9.000E+00
      -5     1     1     2     0   511 -1.232538685E+00  1.156344451E+01  2.941548116E+01  3.199285755E+01  4.800000191E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.21406E+00 -1.00000E+00  2.06117E-01
       3    -1     0     0   515     0  0.000000000E+00  0.000000000E+00  2.553067682E+00  2.553067682E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00 -2.260879059E+02  2.260879059E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   513 -4.833440569E-01  1.169410780E+01 -1.974087613E+01  2.294968342E+01  3.371747881E-07  0.00000E+00  9.000E+00
       3     1     1     2   514     0 -3.893328719E+00 -1.864377838E+01 -1.209780794E+02  1.224691560E+02  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   514  4.376672776E+00  6.949670574E+00 -8.281588274E+01  8.322213419E+01  1.348699152E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.15827E+00 -1.00000E+00  2.36089E-01
       1    -1     0     0   515     0  0.000000000E+00  0.000000000E+00  2.310445158E+00  2.310445158E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   513  0.000000000E+00  0.000000000E+00 -1.581543211E+02  1.581543211E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   511 -2.916398480E+00 -7.296254617E+00 -1.126807029E+02  1.129543337E+02  1.907348633E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  5.503400421E+00  1.175827759E+01 -3.822119085E+01  4.036722479E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   515   513 -2.587001941E+00 -4.462022970E+00 -4.941982181E+00  7.143207676E+00  1.685873940E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  2.76543E+01 -1.00000E+00  1.55501E-01
      21    -1     0     0   512   514  0.000000000E+00  0.000000000E+00  2.227697006E+01  2.227697006E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   512  0.000000000E+00  0.000000000E+00 -1.477680140E+01  1.477680140E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   514 -7.137017207E+00 -5.839208912E+00  5.696683816E+00  1.083907661E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   511 -1.964248669E+00  8.319168173E+00  1.039313120E+01  1.345674582E+01  1.192092896E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   513  9.101265876E+00 -2.479959260E+00 -8.589646364E+00  1.275794902E+01  1.192092896E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.88614E+00 -1.00000E+00  2.16493E-01
      21    -1     0     0   512   515  0.000000000E+00  0.000000000E+00  6.764636575E+01  6.764636575E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   514     0  0.000000000E+00  0.000000000E+00 -2.428281883E+01  2.428281883E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   515 -8.165929672E+00 -1.998468272E+01  3.536823150E+01  4.143647850E+01  6.743495762E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.504073712E+01  2.037753390E+01 -1.294762727E+01  2.844675048E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -6.874807452E+00 -3.928511755E-01  2.094294270E+01  2.204595560E+01  2.384185791E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.46165E+00 -1.00000E+00  2.79074E-01
       2    -1     0     0   514     0  0.000000000E+00  0.000000000E+00  4.464811686E+01  4.464811686E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00 -8.922619045E+01  8.922619045E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   511  1.570990442E+01  2.192343654E+01 -7.598438021E+01  8.062917711E+01  1.651812370E-06  0.00000E+00  9.000E+00
       2     1     1     2   512     0 -1.911893041E+01 -2.252448667E+01  9.454826166E+00  3.102238930E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   513  3.409025989E+00  6.010501360E-01  2.195148044E+01  2.222274090E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  9.43127E+00 -1.00000E+00  1.98683E-01
      -2    -1     0     0     0   513  0.000000000E+00  0.000000000E+00  3.600328585E+00  3.600328585E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   513     0  0.000000000E+00  0.000000000E+00 -1.001854476E+03  1.001854476E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   514 -7.933133363E+00  5.622578510E+00 -3.394473513E+00  1.030433620E+01  3.300000131E-01  0.00000E+00  9.000E+00
       2     1     1     2   511     0  4.450124255E-01 -8.288683268E+00 -8.691773235E+02  8.692170206E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   511  7.488120938E+00  2.666104757E+00 -1.256823506E+02  1.259334480E+02  1.348699152E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.94949E+00 -1.00000E+00  2.15927E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  7.006835023E+01  7.006835023E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   512  0.000000000E+00  0.000000000E+00 -7.664327294E+00  7.664327294E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   515 -1.051919071E+01  6.350573427E-01 -3.058850779E+00  1.097329664E+01  3.449868233E-07  0.00000E+00  9.000E+00
      21     1     1     2   515   516  2.547077282E+00 -1.036750174E+00  3.953681518E+01  3.963233791E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   516   511  7.972113426E+00  4.016928312E-01  2.592605853E+01  2.712704298E+01  4.768371582E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.26038E+01 -1.00000E+00  1.84762E-01
      21    -1     0     0   514   515  0.000000000E+00  0.000000000E+00  1.175462157E+01  1.175462157E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -4.419169068E+01  4.419169068E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   511  5.846092721E+00 -8.242860477E+00 -3.972889464E+01  4.099398271E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   513     0 -4.354934456E+00 -2.016230897E-01  1.716974265E+00  4.712123365E+00  5.000000000E-01  0.00000E+00  9.000E+00
      -3     1     1     2     0   515 -1.491158265E+00  8.444483567E+00  5.574851269E+00  1.024020617E+01  5.000000000E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.25030E+01 -1.00000E+00  1.85120E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  5.658823950E+00  5.658823950E+00  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -5.432347585E+01  5.432347585E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   512     0 -4.859314460E+00 -1.032312066E+01 -7.188098822E+00  1.348915942E+01  3.300000131E-01  0.00000E+00  9.000E+00
       3     1     1     2   513     0 -2.085942935E+00  1.189389240E+01 -3.436991863E+01  3.643291288E+01  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   513  6.945257396E+00 -1.570771745E+00 -7.106634455E+00  1.006022750E+01  1.884864366E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.25917E+00 -1.00000E+00  2.34659E-01
       2    -1     0     0   514     0  0.000000000E+00  0.000000000E+00  2.181830985E+02  2.181830985E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -3.238126407E+01  3.238126407E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   513  7.531013516E+00  1.201742647E+01  2.406093119E+01  2.792960997E+01  7.539457465E-07  0.00000E+00  9.000E+00
       3     1     1     2   514     0 -4.245600300E+00 -7.910821706E+00 -2.974597712E+01  3.107538217E+01  5.000000000E-01  0.00000E+00  9.000E+00
       2     1     1     2   513     0 -3.285413216E+00 -4.106604768E+00  1.914868804E+02  1.915593704E+02  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.07888E+01 -1.00000E+00  1.91965E-01
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00  2.611739143E+01  2.611739143E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   515  0.000000000E+00  0.000000000E+00 -7.657595571E+00  7.657595571E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   515 -3.187747466E+00 -8.223443887E+00  9.657498804E+00  1.307876318E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   513  3.427062696E+00  9.659587109E+00 -1.440703564E+00  1.035026611E+01  4.712160915E-08  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -2.393152293E-01 -1.436143222E+00  1.024300062E+01  1.034595770E+01  2.384185791E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.44401E+00 -1.00000E+00  2.32154E-01
      21    -1     0     0   516   514  0.000000000E+00  0.000000000E+00  1.088587655E+01  1.088587655E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   517  0.000000000E+00  0.000000000E+00 -4.201623478E+01  4.201623478E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   517 -3.017280899E+00  1.277334407E+01  4.661016615E+00  1.392793519E+01  2.665600750E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   514  7.652669112E-01 -7.816970877E+00 -1.055164385E+01  1.315400528E+01  2.064765462E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511  2.252013987E+00 -4.956373197E+00 -2.523973099E+01  2.582017085E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.19203E+01 -1.00000E+00  1.87280E-01
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  1.574848325E+01  1.574848325E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -5.757545760E+01  5.757545760E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   511 -4.978265566E+00  1.277731812E+01 -2.144327558E+01  2.545303624E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   513     0  6.092131148E+00 -1.587006379E+01  8.355334035E+00  1.894448452E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -1.113865581E+00  3.092745676E+00 -2.873903281E+01  2.892642009E+01  4.768371582E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.62580E+00 -1.00000E+00  2.10361E-01
       1    -1     0     0   513     0  0.000000000E+00  0.000000000E+00  1.168646289E+02  1.168646289E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00 -3.190843704E+01  3.190843704E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   512  2.021839139E+00  1.012750876E+01 -2.995714594E+01  3.168729808E+01  4.768371582E-07  0.00000E+00  9.000E+00
       1     1     1     2   512     0 -8.853058787E+00 -6.738375985E+00  9.672762366E+01  9.736593059E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   513   511  6.831219648E+00 -3.389132772E+00  1.818571413E+01  1.971983725E+01  3.371747881E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.15200E+01 -1.00000E+00  1.38309E-01
      21    -1     0     0   514   516  0.000000000E+00  0.000000000E+00  1.166468119E+02  1.166468119E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -1.261627178E+02  1.261627178E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   516 -8.296409507E+00  1.535813003E+01  4.888418074E+01  5.190727980E+01  6.743495762E-07  0.00000E+00  9.000E+00
       2     1     1     2   514     0  4.625261587E+01 -6.497758879E+01 -9.052906388E+01  1.206524423E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   515 -3.795620636E+01  4.961945876E+01  3.212897720E+01  7.024980757E+01  9.536743164E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.55343E+00 -1.00000E+00  2.03880E-01
      21    -1     0     0   511   514  0.000000000E+00  0.000000000E+00  5.721698993E+02  5.721698993E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00 -9.462565670E+02  9.462565670E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -1.446375078E+01  1.108693806E+01 -2.898755254E+01  3.424030497E+01  5.840038640E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   515  2.088044139E+01 -5.431214467E+00 -9.144832796E+02  9.147377546E+02  1.868812365E-05  0.00000E+00  9.000E+00
      21     1     1     2   515   514 -6.416690615E+00 -5.655723591E+00  5.693841645E+02  5.694484067E+02  7.629394531E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.85100E+00 -1.00000E+00  2.02029E-01
      -3    -1     0     0     0   514  0.000000000E+00  0.000000000E+00  1.020852179E+01  1.020852179E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   515  0.000000000E+00  0.000000000E+00 -1.363487672E+02  1.363487672E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   515  1.557092182E+01 -2.075789230E+00  3.080302238E+00  1.601564139E+01  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -4.879569820E+00  3.806828851E+00 -7.468849384E+01  7.494446783E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -1.069135200E+01 -1.731039621E+00 -5.453205381E+01  5.559717977E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.16011E+00 -1.00000E+00  2.59413E-01
       1    -1     0     0   513     0  0.000000000E+00  0.000000000E+00  1.989510998E+02  1.989510998E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -1.620333335E+00  1.620333335E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   512     0 -1.099361008E+01 -5.852540756E+00  1.697933793E+02  1.702498524E+02  3.300000131E-01  0.00000E+00  9.000E+00
       2     1     1     2   511     0  1.920742315E+00  1.177220795E+00  3.170042970E+00  3.902969674E+00  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   513   511  9.072867764E+00  4.675319962E+00  2.436734424E+01  2.641861108E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.36076E+00 -1.00000E+00  2.33264E-01
      21    -1     0     0   514   516  0.000000000E+00  0.000000000E+00  2.543269153E+02  2.543269153E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   515  0.000000000E+00  0.000000000E+00 -2.184475687E+01  2.184475687E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   515 -1.530366897E+01  5.448871597E+00 -1.727079217E+01  2.371018237E+01  2.384185791E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511  1.022014280E+01 -3.747264637E+00  2.107058443E+01  2.371629902E+01  5.331201500E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   516  5.083526176E+00 -1.701606961E+00  2.286823662E+02  2.287451908E+02  2.697398305E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.31806E+00 -1.00000E+00  2.12792E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  4.332716889E+01  4.332716889E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   517   516  0.000000000E+00  0.000000000E+00 -8.208363391E+01  8.208363391E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   516  8.243889608E+00 -6.020986988E+00 -7.827146388E+01  7.893437818E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   517   512 -1.146341248E+01 -5.508273463E-01  7.675520875E+00  1.380676853E+01  3.674277069E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   514  3.219522876E+00  6.571814335E+00  3.183947798E+01  3.266965609E+01  5.840038640E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.87113E+00 -1.00000E+00  2.26867E-01
      -4    -1     0     0     0   516  0.000000000E+00  0.000000000E+00  1.372498905E+01  1.372498905E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   514  0.000000000E+00  0.000000000E+00 -2.008020771E+02  2.008020771E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   514  5.042278716E+00 -1.185344960E+01 -1.720930519E+02  1.725744690E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   515   516 -9.761533442E+00  8.363064611E+00 -2.621215678E+01  2.919427252E+01  6.743495762E-07  0.00000E+00  9.000E+00
      -4     1     1     2     0   511  4.719254727E+00  3.490384987E+00  1.122812066E+01  1.275832458E+01  1.500000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.38679E+00 -1.00000E+00  2.54268E-01
      21    -1     0     0   512   514  0.000000000E+00  0.000000000E+00  9.946626791E+01  9.946626791E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00 -9.687193469E+00  9.687193469E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -5.243684074E+00 -9.007687000E+00  9.614698963E+01  9.671028003E+01  1.348699152E-06  0.00000E+00  9.000E+00
       1     1     1     2   513     0  1.269311092E+00  9.899432002E-01 -1.620232261E+00  2.307637488E+00  3.300000131E-01  0.00000E+00  9.000E+00
      -1     1     1     2     0   514  3.974372982E+00  8.017743800E+00 -4.747682928E+00  1.013554386E+01  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  8.19164E+00 -1.00000E+00  2.06270E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  2.631542351E+02  2.631542351E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   514  0.000000000E+00  0.000000000E+00 -9.541466021E+01  9.541466021E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   514 -1.002532305E+01 -2.296717245E+00 -9.009378332E+01  9.067894907E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   516   511  7.343674590E+00  1.003698439E+01  2.829406727E+00  1.275445627E+01  5.110033810E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   515  2.681648459E+00 -7.740267149E+00  2.550039515E+02  2.551354899E+02  2.697398305E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.76219E+00 -1.00000E+00  2.09332E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  3.155091291E+02  3.155091291E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   517   513  0.000000000E+00  0.000000000E+00 -1.099886552E+00  1.099886552E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   517   515  9.360490650E+00 -7.134484529E+00  3.703730703E+01  3.886234381E+01  1.168007728E-06  0.00000E+00  9.000E+00
      21     1     1     2   515   511 -2.061630620E+00  2.897164668E+00  1.721810267E+02  1.722177396E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -7.298860030E+00  4.237319861E+00  1.051909088E+02  1.055289322E+02  1.348699152E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.58286E+00 -1.00000E+00  2.19321E-01
      21    -1     0     0   512   515  0.000000000E+00  0.000000000E+00  2.216593765E+01  2.216593765E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   516     0  0.000000000E+00  0.000000000E+00 -1.342817857E+02  1.342817857E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -1.460179451E+01 -8.758103280E+00  9.825221524E+00  1.965837618E+01  3.576278687E-07  0.00000E+00  9.000E+00
      21     1     1     2   516   515  8.531078990E+00  1.130360737E+01  5.005652349E-01  1.417044156E+01  4.044642910E-07  0.00000E+00  9.000E+00
       2     1     1     2   514     0  6.070715521E+00 -2.545504094E+00 -1.224416348E+02  1.226189056E+02  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.04116E+01 -1.00000E+00  1.93696E-01
      21    -1     0     0   512   516  0.000000000E+00  0.000000000E+00  1.878138582E+02  1.878138582E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   513  0.000000000E+00  0.000000000E+00 -5.792901332E+00  5.792901332E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   513 -2.906386705E-01 -6.353458686E+00 -2.675794752E+00  6.900056932E+00  2.665600750E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   516 -5.581579191E+00  1.495106749E+01  1.343598048E+02  1.353042704E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   511  5.872217861E+00 -8.597608806E+00  5.033694677E+01  5.140243214E+01  6.743495762E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.13056E+01 -1.00000E+00  1.89737E-01
      21    -1     0     0   515   513  0.000000000E+00  0.000000000E+00  2.642606029E+00  2.642606029E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   517   515  0.000000000E+00  0.000000000E+00 -7.416516703E+01  7.416516703E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   517   511 -6.962452940E+00 -5.853530917E+00 -3.324307960E+01  3.446508256E+01  8.259061849E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   513  7.762072650E+00  3.034233791E+00 -6.880619099E+00  1.080737090E+01  1.685873940E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -7.996197097E-01  2.819297125E+00 -3.139886230E+01  3.153531959E+01  5.840038640E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.00742E+01 -1.00000E+00  1.95328E-01
      21    -1     0     0   512   516  0.000000000E+00  0.000000000E+00  6.141343422E+00  6.141343422E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00 -6.722913069E+01  6.722913069E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   515 -1.084109212E+00  1.202859858E+01 -3.034052776E+01  3.265760251E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   513   516 -4.841864002E+00 -1.294615454E+01 -5.688759732E+00  1.494685759E+01  1.460009660E-07  0.00000E+00  9.000E+00
      21     1     1     2   515   513  5.925973215E+00  9.175559644E-01 -2.505849977E+01  2.576601402E+01  3.371747881E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.20227E+00 -1.00000E+00  2.88395E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  3.310998261E+01  3.310998261E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   512  0.000000000E+00  0.000000000E+00 -9.547666292E+01  9.547666292E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   512 -1.688620903E+00 -9.972750743E+00 -7.990985428E+01  8.054745191E+01  9.536743164E-07  0.00000E+00  9.000E+00
       4     1     1     2   511     0  1.371554431E+00  1.315632236E+01 -1.221781562E+01  1.806917259E+01  1.500000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   514  3.170664725E-01 -3.183571615E+00  2.976098959E+01  2.997002103E+01  1.500000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.74163E+00 -1.00000E+00  2.70381E-01
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00  1.699478761E+01  1.699478761E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00 -6.319630198E+02  6.319630198E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   511 -1.158491264E+01 -6.190467162E+00  9.879201872E+00  1.643565375E+01  2.920019320E-07  0.00000E+00  9.000E+00
       1     1     1     2   515     0  8.719845809E+00  3.784053134E+00 -2.070628622E+00  9.734021366E+00  3.300000131E-01  0.00000E+00  9.000E+00
      -1     1     1     2     0   512  2.865066827E+00  2.406414028E+00 -6.227768054E+02  6.227881323E+02  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.32653E+01 -1.00000E+00  1.82514E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  2.096823953E+03  2.096823953E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   512  0.000000000E+00  0.000000000E+00 -4.523615623E+00  4.523615623E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -8.963924135E+00  1.534606149E+01  1.604795168E+01  2.399250492E+01  1.500000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   512  2.022409571E+01 -1.165517680E+01  2.004113885E+03  2.004249815E+03  2.157918644E-05  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -1.126017157E+01 -3.690884689E+00  7.213850072E+01  7.310524865E+01  1.651812370E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.46294E+00 -1.00000E+00  2.20498E-01
      21    -1     0     0   511   513  0.000000000E+00  0.000000000E+00  4.151477657E+00  4.151477657E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   512  0.000000000E+00  0.000000000E+00 -7.550039301E+01  7.550039301E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   512  1.178480474E+01 -8.760727309E+00 -3.741609822E+01  4.019448186E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4     1     1     2   515     0 -5.982572087E+00  6.007306362E+00 -3.111704439E+01  3.228620990E+01  1.500000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   513 -5.802232655E+00  2.753420946E+00 -2.815772740E+00  7.171178900E+00  1.500000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.20375E+00 -1.00000E+00  2.23166E-01
       2    -1     0     0   514     0  0.000000000E+00  0.000000000E+00  5.882211947E+02  5.882211947E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00 -1.184411713E+02  1.184411713E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   516  3.269653462E+00  9.670484934E+00 -1.134444528E+02  1.139028217E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   512 -5.313648024E+00 -1.552783445E+01  9.423372774E+00  1.892481050E+01  6.529361695E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0  2.043994562E+00  5.857349513E+00  5.738011034E+02  5.738347338E+02  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.13613E+00 -1.00000E+00  2.14308E-01
      21    -1     0     0   511   516  0.000000000E+00  0.000000000E+00  2.100683453E+00  2.100683453E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   514  0.000000000E+00  0.000000000E+00 -2.971207109E+02  2.971207109E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   513  2.286942135E+00  1.071297623E+01 -2.801449435E+01  3.008005747E+01  3.371747881E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   516 -9.293223556E+00 -9.357855654E+00 -4.198450628E+01  4.400718389E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   514  7.006281421E+00 -1.355120573E+00 -2.250210269E+02  2.251341530E+02  2.697398305E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.05609E+01 -1.00000E+00  1.93000E-01
       2    -1     0     0   513     0  0.000000000E+00  0.000000000E+00  1.998243863E+03  1.998243863E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   512  0.000000000E+00  0.000000000E+00 -1.677833561E+00  1.677833561E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   512 -9.873971861E+00 -1.399066163E+00  1.351726316E+01  1.679789004E+01  1.369610464E-06  0.00000E+00  9.000E+00
       2     1     1     2   515     0  1.753410212E+00 -3.882116464E+00  1.292931438E+03  1.292938497E+03  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   515  8.120561648E+00  5.281182627E+00  6.901173279E+02  6.901853090E+02  1.321449896E-05  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.69966E+01 -1.00000E+00  1.72374E-01
       2    -1     0     0   513     0  0.000000000E+00  0.000000000E+00  2.312701183E+02  2.312701183E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   513  0.000000000E+00  0.000000000E+00 -4.132711559E+01  4.132711559E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   511  1.642050550E+01 -2.423548668E+00 -3.927606241E+01  4.264229904E+01  5.000000000E-01  0.00000E+00  9.000E+00
       2     1     1     2   512     0 -4.773750823E+00 -1.854052938E+00  3.972361247E+01  4.005372014E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -1.164675468E+01  4.277601606E+00  1.894954526E+02  1.899012147E+02  2.697398305E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.64689E+01 -1.00000E+00  1.73599E-01
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00  2.612272282E+00  2.612272282E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -3.878283685E+02  3.878283685E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -3.174926355E+00  1.398600953E+01 -2.585544739E+01  2.956675126E+01  8.259061849E-07  0.00000E+00  9.000E+00
       2     1     1     2   513     0  2.831497508E+00 -9.194262885E+00 -3.516988126E+02  3.518305211E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   513  3.434288465E-01 -4.791746646E+00 -7.661836217E+00  9.043368482E+00  3.371747881E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.59193E+00 -1.00000E+00  2.19234E-01
      21    -1     0     0   515   517  0.000000000E+00  0.000000000E+00  8.690706279E+01  8.690706279E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   516  0.000000000E+00  0.000000000E+00 -7.434644570E+02  7.434644570E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   516  7.243912793E+00  1.162465423E+01 -4.016835155E+01  4.243940769E+01  2.132480600E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -1.354397113E+01 -9.684856920E+00 -7.019350506E+02  7.021325024E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   517  6.300058335E+00 -1.939797306E+00  8.554600796E+01  8.579960971E+01  2.861022949E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.03978E+00 -1.00000E+00  2.24949E-01
      21    -1     0     0   513   515  0.000000000E+00  0.000000000E+00  2.677946742E+02  2.677946742E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   517   514  0.000000000E+00  0.000000000E+00 -2.090161089E+00  2.090161089E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   514  1.204859050E+01 -4.683929314E+00  2.429157772E+01  2.751705789E+01  8.920806376E-07  0.00000E+00  9.000E+00
      21     1     1     2   517   511 -1.427237652E+01 -9.315578146E-01  2.007344798E+02  2.012433848E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   515  2.223786015E+00  5.615487128E+00  4.067845553E+01  4.112439257E+01  8.259061849E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.90876E+00 -1.00000E+00  2.65744E-01
      21    -1     0     0   512   514  0.000000000E+00  0.000000000E+00  9.992692934E+01  9.992692934E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   515  0.000000000E+00  0.000000000E+00 -1.219660495E+01  1.219660495E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   515 -6.378810569E+00  1.119738014E+01  9.309466034E+01  9.398237244E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   516   513  2.970210167E+00 -1.117051222E+01 -7.806499498E+00  1.394790042E+01  6.529361695E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   514  3.408600401E+00 -2.686792236E-02  2.442163561E+00  4.193261432E+00  5.161913656E-08  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.49054E+00 -1.00000E+00  2.20224E-01
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00  1.295335527E+02  1.295335527E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   514   511  0.000000000E+00  0.000000000E+00 -3.358279645E+01  3.358279645E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   513  4.021505055E-01 -1.451341073E+01  5.008248290E+01  5.214456740E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   516 -6.829650269E+00  1.361099762E+01 -3.062573265E+01  3.420290747E+01  3.371747881E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511  6.427499764E+00  9.024131129E-01  7.649400599E+01  7.676887426E+01  9.536743164E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  9.26089E+00 -1.00000E+00  1.99632E-01
      21    -1     0     0   515   514  0.000000000E+00  0.000000000E+00  1.106806757E+03  1.106806757E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   517  0.000000000E+00  0.000000000E+00 -3.322882570E+01  3.322882570E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   517  8.576417135E+00 -1.310748265E+01 -3.087149669E+01  3.461806378E+01  3.647102962E-06  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -1.396910133E+00  7.257808542E+00  1.059413235E+03  1.059439016E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -7.179507002E+00  5.849674105E+00  4.503619366E+01  4.597850310E+01  9.536743164E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.88381E+00 -1.00000E+00  2.26719E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  2.766575976E+01  2.766575976E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   514     0  0.000000000E+00  0.000000000E+00 -7.011035381E+01  7.011035381E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -1.853387360E+00  1.149075976E+01  2.489727942E+01  2.748357923E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   514   513 -3.846489644E+00 -1.293452788E+01 -3.786967830E+01  4.020211473E+01  8.259061849E-07  0.00000E+00  9.000E+00
       4     1     1     2   512     0  5.699877004E+00  1.443768115E+00 -2.947219517E+01  3.009041961E+01  1.500000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.09915E+01 -1.00000E+00  1.30887E-01
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00  1.578956511E+02  1.578956511E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   516   515  0.000000000E+00  0.000000000E+00 -9.515489144E+01  9.515489144E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   516   517  1.353952275E+01  4.713828938E+00 -9.373089741E+01  9.482098918E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   513   511  3.552204965E+00 -1.184672871E+00  9.282059820E+00  1.000890825E+01  2.920019320E-07  0.00000E+00  9.000E+00
      21     1     1     2   517   513 -1.709172772E+01 -3.529156067E+00  1.471895973E+02  1.482206452E+02  2.697398305E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.95964E+00 -1.00000E+00  2.07892E-01
      21    -1     0     0   512   514  0.000000000E+00  0.000000000E+00  1.517893804E+01  1.517893804E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   513     0  0.000000000E+00  0.000000000E+00 -1.557403355E+03  1.557403355E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   511  3.945462741E+00 -1.136222715E+01 -1.517357237E+03  1.517404907E+03  3.051757813E-05  0.00000E+00  9.000E+00
       1     1     1     2   512     0  4.010184050E+00  1.161097573E+01 -3.793536717E+01  3.987602432E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   514 -7.955646791E+00 -2.487485785E-01  1.306818658E+01  1.530136243E+01  2.145767212E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.11178E+00 -1.00000E+00  5.79417E-01
      -2    -1     0     0     0   514  0.000000000E+00  0.000000000E+00  5.374818361E-01  5.374818361E-01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   512  0.000000000E+00  0.000000000E+00 -4.010633843E+02  4.010633843E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   512  8.868348993E+00 -9.296383240E+00 -1.426933094E+02  1.432709315E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   515   514 -7.795639229E+00  9.587925975E+00 -1.551508990E+02  1.556422236E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   513   515 -1.072709764E+00 -2.915427352E-01 -1.026816940E+02  1.026877110E+02  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.93710E+00 -1.00000E+00  2.16037E-01
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00  1.963038110E+02  1.963038110E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   514     0  0.000000000E+00  0.000000000E+00 -4.756844690E+02  4.756844690E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   513 -1.174882875E+01  7.402140114E+00 -1.701521627E+02  1.707178524E+02  1.907348633E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  6.283889934E+00 -3.129233449E+00 -3.051476164E+02  3.052285309E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   511  5.464938813E+00 -4.272906665E+00  1.959191210E+02  1.960418967E+02  3.814697266E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.97962E+00 -1.00000E+00  2.15661E-01
       1    -1     0     0   515     0  0.000000000E+00  0.000000000E+00  6.085821381E+02  6.085821381E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00 -1.172448765E+01  1.172448765E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -2.918821538E+00 -8.591364174E+00 -9.248627969E+00  1.295639521E+01  3.576278687E-07  0.00000E+00  9.000E+00
       1     1     1     2   512     0  8.718871531E+00  8.552939158E+00  5.916168791E+02  5.917430287E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   515   513 -5.800049992E+00  3.842501615E-02  1.448939925E+01  1.560720177E+01  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.84137E+00 -1.00000E+00  2.16898E-01
      21    -1     0     0   514   511  0.000000000E+00  0.000000000E+00  6.348381159E+02  6.348381159E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   516     0  0.000000000E+00  0.000000000E+00 -2.688955683E+02  2.688955683E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   513  1.261784619E+01 -4.091604347E+00  6.233717757E+02  6.235128884E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   516   511 -5.998608832E+00  5.820768772E+00  9.813293776E+00  1.289051557E+01  1.545128989E-06  0.00000E+00  9.000E+00
       1     1     1     2   513     0 -6.619237356E+00 -1.729164425E+00 -2.672425218E+02  2.673302802E+02  3.300000131E-01  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.74512E+00 -1.00000E+00  2.09459E-01
       4    -1     0     0   513     0  0.000000000E+00  0.000000000E+00  2.799723955E+01  2.799723955E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   515  0.000000000E+00  0.000000000E+00 -6.332912135E+01  6.332912135E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   515 -1.077751543E+01 -3.534665010E+00 -1.350708285E+01  1.763774313E+01  2.384185791E-07  0.00000E+00  9.000E+00
       4     1     1     2   512     0  1.355535792E+01 -3.692378358E+00  2.365558002E+01  2.755390811E+01  1.500000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -2.777842490E+00  7.227043368E+00 -4.548037896E+01  4.613470966E+01  6.743495762E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.71473E+01 -1.00000E+00  1.72034E-01
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00  7.843185777E+01  7.843185777E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   513  0.000000000E+00  0.000000000E+00 -2.602538199E+01  2.602538199E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   516 -1.715807074E+01 -1.024673487E+01 -2.525774130E+00  2.014384526E+01  5.717076687E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   512  3.786171621E+00  2.098085280E+01  6.215293202E+01  6.570782479E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   516   513  1.337189912E+01 -1.073411793E+01 -7.220682116E+00  1.860556971E+01  2.230201594E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.26749E+00 -1.00000E+00  2.13207E-01
      -1    -1     0     0     0   515  0.000000000E+00  0.000000000E+00  1.308138000E+02  1.308138000E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00 -8.703406994E+00  8.703406994E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   513  7.071399169E+00 -6.507382453E+00  1.197483971E+02  1.201338347E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   515 -2.998835492E+00  2.508892525E+00 -7.231328788E+00  8.220685620E+00  3.371747881E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   511 -4.072563676E+00  3.998489927E+00  9.593324606E+00  1.116268667E+01  2.665600750E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  3.14864E+00 -1.00000E+00  2.90504E-01
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00  4.808073735E+01  4.808073735E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -2.580879545E+00  2.580879545E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   514 -1.300203651E+00 -1.015023941E+01  1.467812481E+01  1.789620456E+01  3.300000131E-01  0.00000E+00  9.000E+00
       1     1     1     2   513     0  1.071206329E+00  7.475436813E+00  1.591539589E+01  1.761926119E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   513  2.289973218E-01  2.674802596E+00  1.490633711E+01  1.514615115E+01  1.685873940E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  4.56494E+00 -1.00000E+00  2.50548E-01
      21    -1     0     0   511   515  0.000000000E+00  0.000000000E+00  8.941612440E+01  8.941612440E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00 -2.858227280E+02  2.858227280E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   515  9.482513105E+00 -4.586692415E+00  8.886941859E+01  8.949150442E+01  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   516 -5.622711770E+00  1.175321298E+00 -2.528058111E+02  2.528710627E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   516   513 -3.859801335E+00  3.411371117E+00 -3.247021116E+01  3.287628525E+01  4.768371582E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  2.93654E+00 -1.00000E+00  2.99572E-01
      21    -1     0     0   514   512  0.000000000E+00  0.000000000E+00  1.627825865E+02  1.627825865E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   513  0.000000000E+00  0.000000000E+00 -6.331390121E+01  6.331390121E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   514   513 -1.093822726E+01  3.897253757E-01 -6.257447494E+01  6.352449618E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   512  7.813518560E+00  1.604576127E+00  1.393464170E+02  1.395745309E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   511  3.124708704E+00 -1.994301502E+00  2.269674322E+01  2.299746064E+01  3.371747881E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.94913E+00 -1.00000E+00  2.25969E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  2.510866350E+02  2.510866350E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   516  0.000000000E+00  0.000000000E+00 -8.794283087E+00  8.794283087E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   517 -8.833329430E+00 -3.851081814E+00 -5.376157222E+00  1.103456417E+01  3.953724850E-07  0.00000E+00  9.000E+00
      21     1     1     2   517   511  1.430590417E+01  6.184128423E+00  1.158475166E+02  1.168911864E+02  2.336015456E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   516 -5.472574735E+00 -2.333046608E+00  1.318209925E+02  1.319551676E+02  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.05191E+01 -1.00000E+00  1.93194E-01
      21    -1     0     0   513   516  0.000000000E+00  0.000000000E+00  1.541885467E+02  1.541885467E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   515   514  0.000000000E+00  0.000000000E+00 -4.514649838E+00  4.514649838E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   514 -7.318777630E+00 -6.997731161E+00  1.665153660E+00  1.026184604E+01  1.534168443E-07  0.00000E+00  9.000E+00
      21     1     1     2   515   511  2.259877328E+00 -4.562302504E-01  2.765719538E+01  2.775311960E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   516  5.058900302E+00  7.453961411E+00  1.203515478E+02  1.206882309E+02  0.000000000E+00  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  2.74497E+01 -1.00000E+00  1.55733E-01
      21    -1     0     0   511   512  0.000000000E+00  0.000000000E+00  1.369601849E+01  1.369601849E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00 -3.913226884E+01  3.913226884E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   514  1.554245643E+00  1.458487529E-01 -8.174441764E-01  1.792781740E+00  3.300000131E-01  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -4.989424514E+00 -2.106353058E+01 -5.148217274E+00  2.225263397E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   513  3.435178871E+00  2.091768182E+01 -1.947058891E+01  2.878287163E+01  3.371747881E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.90578E+00 -1.00000E+00  2.26465E-01
      21    -1     0     0   515   511  0.000000000E+00  0.000000000E+00  8.767705897E+00  8.767705897E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   516  0.000000000E+00  0.000000000E+00 -2.439037700E+02  2.439037700E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   516  5.527622097E+00  1.182081557E+01 -2.133602170E+02  2.137589027E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   513  3.780135220E-01 -1.186271853E+01 -2.795186414E+01  3.036731292E+01  7.539457465E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -5.905635619E+00  4.190295858E-02  6.176016996E+00  8.545260315E+00  3.153981341E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  6.57277E+01 -1.00000E+00  1.32595E-01
      21    -1     0     0   513   511  0.000000000E+00  0.000000000E+00  1.744926529E+01  1.744926529E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -1.632366789E+02  1.632366789E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   514 -3.008360477E-01  2.451892898E+01 -8.198490931E+00  2.585505046E+01  3.153981341E-07  0.00000E+00  9.000E+00
       2     1     1     2   513     0 -7.594576664E+00  1.071410329E+01 -1.061353970E+02  1.069453178E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   514   511  7.895412711E+00 -3.523303227E+01 -3.145352572E+01  4.788557596E+01  4.768371582E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.06178E+01 -1.00000E+00  1.92738E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  1.919386585E+02  1.919386585E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00 -2.043998595E+01  2.043998595E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   515   511 -2.269433070E+01  2.799925520E+01  2.838975543E+01  4.587994280E+01  8.259061849E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   514  1.650603059E+01 -1.937125251E+01  2.592327208E+00  2.558152907E+01  6.982907363E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   515  6.188300111E+00 -8.628002693E+00  1.405165900E+02  1.409171726E+02  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.62405E+01 -1.00000E+00  1.74147E-01
      -1    -1     0     0     0   515  0.000000000E+00  0.000000000E+00  2.087709428E+01  2.087709428E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00 -8.968351325E+01  8.968351325E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   514  1.653377672E+01 -9.906316233E+00  1.486984070E+01  2.434588130E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   511   515 -5.293438346E+00  2.845894775E+00 -1.326157869E+01  1.455984464E+01  2.920019320E-07  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -1.124033837E+01  7.060421458E+00 -7.041468097E+01  7.165488158E+01  1.907348633E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  5.70835E+00 -1.00000E+00  2.28805E-01
      21    -1     0     0   512   511  0.000000000E+00  0.000000000E+00  3.559724264E-01  3.559724264E-01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   513     0  0.000000000E+00  0.000000000E+00 -1.288230549E+03  1.288230549E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   513   511 -8.034579759E+00 -1.932888378E+01 -6.211716878E+02  6.215242763E+02  7.629394531E-06  0.00000E+00  9.000E+00
       2     1     1     2   514     0  1.745519615E+00  1.203314229E+01 -3.405643128E+02  3.407814599E+02  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   514  6.289060144E+00  7.295741490E+00 -3.261385761E+02  3.262807854E+02  5.394796609E-06  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  1.22761E+01 -1.00000E+00  1.85943E-01
      21    -1     0     0   513   514  0.000000000E+00  0.000000000E+00  2.178628795E+01  2.178628795E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   515  0.000000000E+00  0.000000000E+00 -2.269207226E+01  2.269207226E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   511 -6.830666042E+00  2.759337951E+00 -7.101712596E+00  1.023792783E+01  3.300000131E-01  0.00000E+00  9.000E+00
      21     1     1     2   513   515  5.568058776E+00 -1.300742883E+01  1.503681926E+01  2.064709221E+01  3.769728732E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   514  1.262607267E+00  1.024809088E+01 -8.840890978E+00  1.359334017E+01  2.064765462E-07  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  7.18535E+00 -1.00000E+00  2.13892E-01
      21    -1     0     0   512   513  0.000000000E+00  0.000000000E+00  1.838150044E+01  1.838150044E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   514  0.000000000E+00  0.000000000E+00 -1.764127484E+01  1.764127484E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   514  1.062526379E+00 -1.322844083E+01 -7.887989197E+00  1.543829597E+01  3.371747881E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   516  5.419529341E+00  1.012808017E+01  5.728519644E+00  1.283609144E+01  3.475518164E-07  0.00000E+00  9.000E+00
      21     1     1     2   516   513 -6.482055720E+00  3.100360661E+00  2.899695146E+00  7.748387866E+00  7.300048300E-08  0.00000E+00  9.000E+00


      5  10001  1.00000E+00  9.25839E+00 -1.00000E+00  1.99646E-01
      21    -1     0     0   515   513  0.000000000E+00  0.000000000E+00  2.244293193E+02  2.244293193E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   515  0.000000000E+00  0.000000000E+00 -6.469621264E+00  6.469621264E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   511  4.797243839E+00  1.345526354E+01  6.047719900E+00  1.552039243E+01  5.000000000E-01  0.00000E+00  9.000E+00
      21     1     1     2   512   513 -1.511447225E+00 -1.015207652E+01  2.101451502E+02  2.103956589E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   512 -3.285796613E+00 -3.303187015E+00  1.766827886E+00  4.982889184E+00  2.493441184E-07  0.00000E+00  9.000E+00


 #Random number generator exit values:         7421     819682768            67
pythia8-8.1.86.orig/examples/main87.cc0000644000175000017500000004617612357054702015612 0ustar  sunsun// main87.cc is a part of the PYTHIA event generator.
// Copyright (C) 2011 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do NL3 merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include 

#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"
// Following line to be used with HepMC 2.04 onwards.
#include "HepMC/Units.h"

using namespace Pythia8;

//==========================================================================

// Example main programm to illustrate merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments ("< xsecLO;
  vector nSelectedLO;
  vector nAcceptLO;

  cout << endl << endl << endl;
  cout << "Start estimating nl3 tree level cross section" << endl;

  while(njetcounterLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();

    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Start generation loop
    for( int iEvent=0; iEvent 0 )
      njetcounterLO--;
    else
      break;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Start estimating nl3 virtual corrections cross section" << endl;

  pythia.settings.flag("Merging:doNL3Tree",false);
  pythia.settings.flag("Merging:doNL3Loop",true);

  int njetcounterNLO = nMaxNLO;
  string iPathLoop= iPath + "_powheg";

  vector xsecNLO;
  vector nSelectedNLO;
  vector nAcceptNLO;
  vector strategyNLO;

  while(njetcounterNLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterNLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathLoop+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathLoop + in.str();

    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterNLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Start generation loop
    for( int iEvent=0; iEvent 0 )
      njetcounterNLO--;
    else
      break;

  }

  // Set k-factors
  int sizeLO   = int(xsecLO.size());
  int sizeNLO  = int(xsecNLO.size());
  double k0    = 1.;
  double k1    = 1.;
  double k2    = 1.;
  // Lowest order k-factor only
  if ( false ) k1 = k2 = k0 = xsecNLO.back() / xsecLO.back();
  // No k-factors
  if ( true ) k0 = k1 = k2 = 1.;

  cout << " K-Factors :" << endl;
  cout << "k0 = " << k0 << endl;
  cout << "k1 = " << k1 << endl;
  cout << "k2 = " << k2 << endl;

  // Switch off cross section estimation.
  pythia.settings.flag("Merging:doXSectionEstimate", false);

  // Switch showering and multiple interaction back on.
  pythia.settings.flag("PartonLevel:FSR",fsr);
  pythia.settings.flag("PartonLevel:ISR",isr);
  pythia.settings.flag("HadronLevel:all",had);
  pythia.settings.flag("PartonLevel:MPI",mpi);

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  // Declare sample cross section for output.
  double sigmaTemp  = 0.;
  vector sampleXStree;
  vector sampleXSvirt;
  vector sampleXSsubtTree;
  // Cross section an error.
  double sigmaTotal  = 0.;
  double errorTotal  = 0.;

  // Switch on tree-level processing.
  pythia.settings.flag("Merging:doNL3Tree",true);
  pythia.settings.flag("Merging:doNL3Loop",false);
  pythia.settings.flag("Merging:doNL3Subt",false);
  pythia.settings.mode("Merging:nRecluster",0);
  pythia.settings.mode("Merging:nRequested", -1);

  njetcounterLO = nMaxLO;
  iPathTree     = iPath + "_tree";

  while(njetcounterLO >= 0){

    // Set k factors
    pythia.settings.parm("Merging:kFactor0j", k0);
    pythia.settings.parm("Merging:kFactor1j", k1);
    pythia.settings.parm("Merging:kFactor2j", k2);

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();

    cout << endl << endl << endl
         << "Start tree level treatment for " << njetcounterLO << " jets"
         << endl;

    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterLO;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXStree.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterLO > 0 )
      njetcounterLO--;
    else
      break;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Start nl3 virtual corrections part" << endl;

  // Switch on loop-level processing.
  pythia.settings.flag("Merging:doNL3Tree",false);
  pythia.settings.flag("Merging:doNL3Loop",true);
  pythia.settings.flag("Merging:doNL3Subt",false);
  pythia.settings.mode("Merging:nRecluster",0);

  njetcounterNLO = nMaxNLO;
  iPathLoop      = iPath + "_powheg";

  while(njetcounterNLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterNLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathLoop+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathLoop + in.str();

    cout << endl << endl << endl
         << "Start loop level treatment for " << njetcounterNLO << " jets"
         << endl;

    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterNLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeNLO-1-njetcounterNLO;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXSvirt.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterNLO > 0)
      njetcounterNLO--;
    else
      break;

  }

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  cout << endl << endl << endl;
  cout << "Shower subtractive events" << endl;

  // Switch on processing of counter-events.
  pythia.settings.flag("Merging:doNL3Tree",false);
  pythia.settings.flag("Merging:doNL3Loop",false);
  pythia.settings.flag("Merging:doNL3Subt",true);
  pythia.settings.mode("Merging:nRecluster",1);
  pythia.settings.mode("Merging:nRequested", -1);

  int nMaxCT        = nMaxNLO + 1;
  int njetcounterCT = nMaxCT;
  string iPathSubt  = iPath + "_tree";

  while(njetcounterCT >= 1){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterCT << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathSubt+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathSubt + in.str();

    cout << endl << endl << endl
         << "Start subtractive treatment for " << njetcounterCT << " jets"
         << endl;

    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterCT);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterCT;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back( weightNLO*normhepmc);
      // Fill HepMC event.
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weightNLO*normhepmc;
      sigmaTemp  += weightNLO*normhepmc;
      errorTotal += pow2(weightNLO*normhepmc);
      // Report cross section to hepmc
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );

      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXSsubtTree.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterCT > 1 )
      njetcounterCT--;
    else
      break;

  }

  // Print cross section information.
  cout << endl << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Sample cross sections after NL3 merging           |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading order cross sections (mb):                |" << endl;
  for (int i = 0; i < int(sampleXStree.size()); ++i)
    cout << " |     " << sampleXStree.size()-1-i << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXStree[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | NLO order cross sections (mb):                    |" << endl;
  for (int i = 0; i < int(sampleXSvirt.size()); ++i)
    cout << " |     " << sampleXSvirt.size()-1-i << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXSvirt[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading-order subtractive cross sections (mb):    |" << endl;
  for (int i = 0; i < int(sampleXSsubtTree.size()); ++i)
    cout << " |     " << sampleXSsubtTree.size()-1-i+1 << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXSsubtTree[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " | Inclusive cross sections:                         |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | NL3 merged inclusive cross section:               |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << sigmaTotal << "  +-  " << setw(17) << sqrt(errorTotal) << " mb "
       << "   |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | NLO inclusive cross section:                      |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << xsecNLO.back() << " mb                           |"  << endl;
  cout << " |                                                   |" << endl;
  cout << " | LO inclusive cross section:                       |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << xsecLO.back() << " mb                           |" << endl;
  cout << " |                                                   |" << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << endl << endl;

  // Done
  return 0;

}
pythia8-8.1.86.orig/examples/main80.cmnd0000644000175000017500000000365012357054701016124 0ustar  sunsun! main80.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// Specify statistics parameters.
Main:numberOfEvents       = 100  ! number of events generated
Init:showChangedParticleData = off  ! not useful info here
Next:numberShowInfo       = 0    ! avoid unnecessary info
Next:numberShowEvent      = 0    ! avoid lengthy event listings

// Specify merging parameters.
Merging:doKTMerging       = on   ! switch on kT merging
Merging:ktType            = 2    ! Durham kT with pseudorapidity
Merging:TMS               = 30.  ! merging scale, here in kT
Merging:Process           = pp>e+ve  ! process in MadGraph notation
Merging:nJetMax           = 2    ! maximal number of additional jets

// Specify full event generation or not.
PartonLevel:MPI           = off  ! switch on to study full events
HadronLevel:all           = off  ! as above

// Other options (examples).
Tune:pp                   = 5   ! = current default
SpaceShower:rapidityOrder = off ! NOT default for this tune

// Subruns are used to select which LHE file to read when.
// Subrun info should always go at the end of the input file.
// Here Main:subrun = iMerge of pythia.readFile(...) in main80.cc.
Beams:frameType           = 4   ! use LHEF input for incoming beams
!--------------------------------------------------------------------
Main:subrun               = 0   ! input for first subrun, W + 0 jets
Beams:LHEF                = w+_production_lhc_0.lhe
!--------------------------------------------------------------------
Main:subrun               = 1   ! input for second subrun, W + 1 jet
Beams:LHEF                = w+_production_lhc_1.lhe
!--------------------------------------------------------------------
Main:subrun               = 2   ! input for third subrun, W + 2 jets
Beams:LHEF                = w+_production_lhc_2.lhe
!--------------------------------------------------------------------
pythia8-8.1.86.orig/examples/main20.cc0000644000175000017500000000357312357054676015601 0ustar  sunsun// main20.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program. It shows how PYTHIA 8 can write
// a Les Houches Event File based on its process-level events.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
int main() {

  // Generator.
  Pythia pythia;

  // Process selection. Minimal masses for gamma*/Z and W+-.
  pythia.readString("WeakDoubleBoson:all = on");
  pythia.readString("23:mMin = 50.");
  pythia.readString("24:mMin = 50.");

  // Switch off generation of steps subsequent to the process level one.
  // (These will not be stored anyway, so only steal time.)
  pythia.readString("PartonLevel:all = off");

  // Create an LHAup object that can access relevant information in pythia.
  LHAupFromPYTHIA8 myLHA(&pythia.process, &pythia.info);

  // Open a file on which LHEF events should be stored, and write header.
  myLHA.openLHEF("weakbosons.lhe");

  // LHC 8 TeV initialization.
  pythia.readString("Beams:eCM = 8000.");
  pythia.init();

  // Store initialization info in the LHAup object.
  myLHA.setInit();

  // Write out this initialization info on the file.
  myLHA.initLHEF();

  // Loop over events.
  for (int i = 0; i < 100; ++i) {

    // Generate an event.
    pythia.next();

    // Store event info in the LHAup object.
    myLHA.setEvent();

    // Write out this event info on the file.
    // With optional argument (verbose =) false the file is smaller.
    myLHA.eventLHEF();
  }

  // Statistics: full printout.
  pythia.stat();

  // Update the cross section info based on Monte Carlo integration during run.
  myLHA.updateSigma();

  // Write endtag. Overwrite initialization info with new cross sections.
  myLHA.closeLHEF(true);

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main83.cc0000644000175000017500000002661212357054702015577 0ustar  sunsun// main83.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do CKKW-L merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

// Functions for histogramming
#include "fastjet/PseudoJet.hh"
#include "fastjet/ClusterSequence.hh"
#include "fastjet/CDFMidPointPlugin.hh"
#include "fastjet/CDFJetCluPlugin.hh"
#include "fastjet/D0RunIIConePlugin.hh"

//==========================================================================

// Find the Durham kT separation of the clustering from
// nJetMin --> nJetMin-1 jets in te input event

double pTfirstJet( const Event& event, int nJetMin, double Rparam) {

  double yPartonMax = 4.;

  // Fastjet analysis - select algorithm and parameters
  fastjet::Strategy               strategy = fastjet::Best;
  fastjet::RecombinationScheme    recombScheme = fastjet::E_scheme;
  fastjet::JetDefinition         *jetDef = NULL;
  // For hadronic collision, use hadronic Durham kT measure
  if(event[3].colType() != 0 || event[4].colType() != 0)
    jetDef = new fastjet::JetDefinition(fastjet::kt_algorithm, Rparam,
                                      recombScheme, strategy);
  // For e+e- collision, use e+e- Durham kT measure
  else
    jetDef = new fastjet::JetDefinition(fastjet::ee_kt_algorithm,
                                      recombScheme, strategy);
  // Fastjet input
  std::vector  fjInputs;
  // Reset Fastjet input
  fjInputs.resize(0);

  // Loop over event record to decide what to pass to FastJet
  for (int i = 0; i < event.size(); ++i) {
    // (Final state && coloured+photons) only!
    if ( !event[i].isFinal()
      || event[i].isLepton()
      || event[i].id() == 23
      || abs(event[i].id()) == 24
      || abs(event[i].y()) > yPartonMax)
      continue;

    // Store as input to Fastjet
    fjInputs.push_back( fastjet::PseudoJet (event[i].px(),
            event[i].py(), event[i].pz(),event[i].e() ) );
  }

  // Do nothing for empty input
  if (int(fjInputs.size()) == 0) {
    delete jetDef;
    return 0.0;
  }

  // Run Fastjet algorithm
  fastjet::ClusterSequence clustSeq(fjInputs, *jetDef);
  // Extract kT of first clustering
  double pTFirst = sqrt(clustSeq.exclusive_dmerge_max(nJetMin-1));

  delete jetDef;
  // Return kT
  return pTFirst;

}

//==========================================================================

// Class for user interaction with the merging

class MyMergingHooks : public MergingHooks {

private:

public:

  // Default constructor
  MyMergingHooks();
  // Destructor
  ~MyMergingHooks();

  // Functional definition of the merging scale
  virtual double tmsDefinition( const Event& event);

  // Function to dampen weights calculated from histories with lowest
  // multiplicity reclustered events that do not pass the ME cuts
  virtual double dampenIfFailCuts( const Event& inEvent );

  // Helper function for tms definition
  double myKTdurham(const Particle& RadAfterBranch,
           const Particle& EmtAfterBranch, int Type, double D );

};

//--------------------------------------------------------------------------

// Constructor
MyMergingHooks::MyMergingHooks() {}

// Desctructor
MyMergingHooks::~MyMergingHooks() {}

//--------------------------------------------------------------------------

double MyMergingHooks::dampenIfFailCuts( const Event& inEvent ){

  // Get pT for pure QCD 2->2 state
  double pT = 0.;
  for( int i=0; i < inEvent.size(); ++i)
    if(inEvent[i].isFinal() && inEvent[i].colType() != 0) {
      pT = sqrt(pow(inEvent[i].px(),2) + pow(inEvent[i].py(),2));
      break;
    }

  // Veto history if lowest multiplicity event does not pass ME cuts
  if(pT < 10.) return 0.;

  return 1.;

}

//--------------------------------------------------------------------------

// Definition of the merging scale

double MyMergingHooks::tmsDefinition( const Event& event){

  // Cut only on QCD partons!
  // Count particle types
  int nFinalColoured = 0;
  int nFinalNow =0;
  for( int i=0; i < event.size(); ++i) {
    if(event[i].isFinal()){
      if(event[i].id() != 23 && abs(event[i].id()) != 24)
        nFinalNow++;
      if( event[i].colType() != 0)
        nFinalColoured++;
    }
  }

  // Use MergingHooks in-built functions to get information on the hard process
  int nLeptons = nHardOutLeptons();
  int nQuarks  = nHardOutPartons();
  int nResNow  = nResInCurrent();

  // Check if photons, electrons etc. have been produced. If so, do not veto
  if(nFinalNow - ( (nLeptons+nQuarks)/2 - nResNow)*2 != nFinalColoured){
    // Sometimes, Pythia detaches the decay products even though no
    // resonance was put into the LHE file, to catch this, add another
    // if statement
    if(nFinalNow != nFinalColoured) return 0.;
  }

  // Check that one parton has been produced. If not (e.g. in MPI), do not veto
  int nMPI = infoPtr->nMPI();
  if(nMPI > 1) return 0.;

  // Declare kT algorithm parameters
  double Dparam = 0.4;
  int kTtype = -1;
  // Declare final parton vector
  vector  FinalPartPos;
  FinalPartPos.clear();
  // Search event record for final state partons
  for (int i=0; i < event.size(); ++i)
    if(event[i].isFinal() && event[i].colType() != 0)
      FinalPartPos.push_back(i);

  // Find minimal Durham kT in event, using own function: Check
  // definition of separation
  int type = (event[3].colType() == 0 && event[4].colType() == 0) ? 1 : kTtype;
  // Find minimal kT
  double ktmin = event[0].e();
  for(int i=0; i < int(FinalPartPos.size()); ++i){
    double kt12  = ktmin;
    // Compute separation to the beam axis for hadronic collisions
    if(type == -1 || type == -2) {
      double temp = event[FinalPartPos[i]].pT();
      kt12 = min(kt12, temp);
    }
    // Compute separation to other final state jets
    for(int j=i+1; j < int(FinalPartPos.size()); ++j) {
      double temp = kTdurham( event[FinalPartPos[i]], event[FinalPartPos[j]],
                      type, Dparam);
      kt12 = min(kt12, temp);
    }
    // Keep the minimal Durham separation
    ktmin = min(ktmin,kt12);
  }

  // Return minimal Durham kT
  return ktmin;

}

//--------------------------------------------------------------------------

// Function to compute durham y separation from Particle input

double MyMergingHooks::myKTdurham(const Particle& RadAfterBranch,
  const Particle& EmtAfterBranch, int Type, double D ){

  // Declare return variable
  double ktdur;
  // Save 4-momenta of final state particles
  Vec4 jet1 = RadAfterBranch.p();
  Vec4 jet2 = EmtAfterBranch.p();

  if( Type == 1) {
    // Get angle between jets for e+e- collisions, make sure that
    // -1 <= cos(theta) <= 1
    double costh;
    if (jet1.pAbs()*jet2.pAbs() <=0.) costh = 1.;
    else {
      costh = costheta(jet1,jet2);
    }
    // Calculate kt durham separation between jets for e+e- collisions
    ktdur = 2.0*min( pow(jet1.e(),2) , (pow(jet2.e(),2)) )*(1.0 - costh);
  } else if( Type == -1 ){
    // Get delta_eta and cosh(Delta_eta) for hadronic collisions
    double eta1 = 0.5*log( (jet1.e() + jet1.pz()) / (jet1.e() - jet1.pz()) );
    double eta2 = 0.5*log( (jet2.e() + jet2.pz()) / (jet2.e() - jet2.pz()) );
    // Get delta_phi and cos(Delta_phi) for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    double dPhi = acos( cosdPhi );
    // Calculate kT durham like fastjet
     ktdur = min( pow(pt1,2),pow(pt2,2) )
           * ( pow(eta1-eta2,2) + pow(dPhi,2) ) / pow(D,2);
  } else if( Type == -2 ){
    // Get delta_eta and cosh(Delta_eta) for hadronic collisions
    double eta1 = 0.5*log( (jet1.e() + jet1.pz()) / (jet1.e() - jet1.pz()) );
    double eta2 = 0.5*log( (jet2.e() + jet2.pz()) / (jet2.e() - jet2.pz()) );
     double coshdEta = cosh( eta1 - eta2 );
    // Get delta_phi and cos(Delta_phi) for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    // Calculate kT durham separation "SHERPA-like"
     ktdur = 2.0*min( pow(pt1,2),pow(pt2,2) )
           * ( coshdEta - cosdPhi ) / pow(D,2);
  } else {
    ktdur = 0.0;
  }
  // Return kT
  return sqrt(ktdur);
}

//==========================================================================

// Example main programm to illustrate merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments. \n You are"
         << " expected to provide the arguments \n"
         << " 1. Input file for settings \n"
         << " 2. Full name of the input LHE file (with path) \n"
         << " 3. Path for output histogram files \n"
         << " Program stopped. " << endl;
    return 1;
  }

  Pythia pythia;

  // Input parameters:
  //  1. Input file for settings
  //  2. Path to input LHE file
  //  3. OUtput histogram path
  pythia.readFile(argv[1]);
  string iPath = string(argv[2]);
  string oPath = string(argv[3]);

  // Number of events
  int nEvent = pythia.mode("Main:numberOfEvents");

  // Construct user inut for merging
  MergingHooks* myMergingHooks = new MyMergingHooks();
  pythia.setMergingHooksPtr( myMergingHooks );

  // For ISR regularisation off
  pythia.settings.forceParm("SpaceShower:pT0Ref",0.);

  // Declare histograms
  Hist histPTFirst("pT of first jet",100,0.,100.);
  Hist histPTSecond("pT of second jet",100,0.,100.);

  // Read in ME configurations
  pythia.init(iPath,false);

  if(pythia.flag("Main:showChangedSettings")) {
    pythia.settings.listChanged();
  }

  // Start generation loop
  for( int iEvent=0; iEvent out
// The main program contains no analysis; this is intended to happen later.
// It therefore "never" has to be recompiled to handle different tasks.

// WARNING: typically one needs 25 MB/100 events at the LHC.
// Therefore large event samples may be impractical.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"

using namespace Pythia8;

int main(int argc, char* argv[]) {

  // Check that correct number of command-line arguments
  if (argc != 3) {
    cerr << " Unexpected number of command-line arguments. \n You are"
         << " expected to provide one input and one output file name. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Check that the provided input name corresponds to an existing file.
  ifstream is(argv[1]);
  if (!is) {
    cerr << " Command-line file " << argv[1] << " was not found. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Confirm that external files will be used for input and output.
  cout << "\n >>> PYTHIA settings will be read from file " << argv[1]
       << " <<< \n >>> HepMC events will be written to file "
       << argv[2] << " <<< \n" << endl;

  // Interface for conversion from Pythia8::Event to HepMC event.
  HepMC::Pythia8ToHepMC ToHepMC;

  // Specify file where HepMC events will be stored.
  HepMC::IO_GenEvent ascii_io(argv[2], std::ios::out);
 
  // Generator.
  Pythia pythia;

  // Read in commands from external file.
  pythia.readFile(argv[1]);

  // Extract settings to be used in the main program.
  int    nEvent    = pythia.mode("Main:numberOfEvents");
  int    nAbort    = pythia.mode("Main:timesAllowErrors");
 
  // Initialization.
  pythia.init();

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate event.
    if (!pythia.next()) {

      // If failure because reached end of file then exit event loop.
      if (pythia.info.atEndOfFile()) {
        cout << " Aborted since reached end of Les Houches Event File\n";
        break;
      }

      // First few failures write off as "acceptable" errors, then quit.
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Construct new empty HepMC event and fill it.
    // Units will be as chosen for HepMC build, but can be changed
    // by arguments, e.g. GenEvt( HepMC::Units::GEV, HepMC::Units::MM)
    HepMC::GenEvent* hepmcevt = new HepMC::GenEvent();
    ToHepMC.fill_next_event( pythia, hepmcevt );

    // Write the HepMC event to file. Done with it.
    ascii_io << hepmcevt;
    delete hepmcevt;

  // End of event loop. Statistics.
  }
  pythia.stat();

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main16.cc0000644000175000017500000001110112357054676015570 0ustar  sunsun// main16.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates (a) how to collect the analysis code in a separate class
// and (b) how to provide the .cmnd filename on the command line

// Once you have linked the main program you can run it with a command line
// ./main16.exe main16.cmnd > out16

#include "Pythia8/Pythia.h"

using namespace Pythia8;

//==========================================================================

// Put all your own analysis code in the myAnalysis class.

class MyAnalysis {

public:

  // Constructor can be empty.
  MyAnalysis() {}

  // Initialization actions.
  void init();
 
  // Analysis of each new event.
  void analyze(Event& event);

  // Show final results.
  void finish();

private:

  // Declare variables and objects that span init - analyze - finish.
  int  nEvt;
  Hist brH, yH, etaChg, mult;

};

//--------------------------------------------------------------------------

// The initialization code.

void MyAnalysis::init() {

  // Initialize counter for number of events.
  nEvt = 0;

  // Book histograms.
  brH.book("Higgs branching ratios by flavour", 30, -0.5, 29.5);
  yH.book("Higgs rapidity", 100, -10., 10.);
  etaChg.book("charged pseudorapidity", 100, -10., 10.);
  mult.book( "charged multiplicity", 100, -0.5, 799.5);

}

//--------------------------------------------------------------------------

// The event analysis code.

void MyAnalysis::analyze(Event& event) {

  // Increase counter.
  ++nEvt;

  // Find latest copy of Higgs and plot its rapidity.
  int iH = 0;
  for (int i = 0; i < event.size(); ++i)
    if (event[i].id() == 25) iH = i;
  yH.fill( event[iH].y() );

  // Plot flavour of decay channel.
  int idDau1 = event[ event[iH].daughter1() ].idAbs();
  int idDau2 = event[ event[iH].daughter2() ].idAbs();
  int iChan  = 29;
  if (idDau2 == idDau1 && idDau1 < 25) iChan = idDau1;
  if (min( idDau1, idDau2) == 22 && max( idDau1, idDau2) == 23) iChan = 26;
  brH.fill( iChan);

  // Plot pseudorapidity distribution. Sum up charged multiplicity.
  int nChg = 0;
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal() && event[i].isCharged()) {
    etaChg.fill( event[i].eta() );
    ++nChg;
  }
  mult.fill( nChg );

}

//--------------------------------------------------------------------------

// The finishing code.

void MyAnalysis::finish() {

  // Normalize histograms.
  double binFactor = 5. / nEvt;
  yH     *= binFactor;
  etaChg *= binFactor;

  // Print histograms.
  cout << brH << yH << etaChg << mult;

}

//==========================================================================

// You should not need to touch the main program: its actions are
// determined by the .cmnd file and the rest belongs in MyAnalysis.

int main(int argc, char* argv[]) {

  // Check that correct number of command-line arguments
  if (argc != 2) {
    cerr << " Unexpected number of command-line arguments. \n"
         << " You are expected to provide a file name and nothing else. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Check that the provided file name corresponds to an existing file.
  ifstream is(argv[1]);
  if (!is) {
    cerr << " Command-line file " << argv[1] << " was not found. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Confirm that external file will be used for settings..
  cout << " PYTHIA settings will be read from file " << argv[1] << endl;

  // Declare generator. Read in commands from external file.
  Pythia pythia;
  pythia.readFile(argv[1]);
 
  // Initialization.
  pythia.init();

  // Declare user analysis class. Do initialization part of it.
  MyAnalysis myAnalysis;
  myAnalysis.init();

  // Read in number of event and maximal number of aborts.
  int nEvent = pythia.mode("Main:numberOfEvents");
  int nAbort = pythia.mode("Main:timesAllowErrors");
  bool hasPL = pythia.flag("PartonLevel:all");

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if too many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // User Analysis of current event.
    myAnalysis.analyze( (hasPL ? pythia.event : pythia.process) );

  // End of event loop.
  }

  // Final statistics.
  pythia.stat();

  // User finishing.
  myAnalysis.finish();

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main25.cc0000644000175000017500000000404612357054677015603 0ustar  sunsun// main25.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how Les Houches Event File input can be used in Pythia8.
// Here the very few events are generated with MadGraph, and illustrate
// more complicated colour topologies.

#include "Pythia8/Pythia.h"
using namespace Pythia8;

int main() {

  // Generator
  Pythia pythia;

  // Stick with default values, so do not bother with a separate file
  // for changes. However, do one change, to show readString in action.
  pythia.readString("PartonLevel:ISR = off");
  pythia.readString("PartonLevel:FSR = off");
  pythia.readString("PartonLevel:MPI = off");
  pythia.readString("HadronLevel:Hadronize = on");

  // Initialize Les Houches Event File run.
  pythia.readString("Beams:frameType = 4");
  pythia.readString("Beams:LHEF = main25.lhe");
  pythia.init();

  // Book histogram.
  Hist nCharged("charged particle multiplicity",100,-0.5,399.5);

  // Allow for possibility of a few faulty events.
  int nAbort = 10;
  int iAbort = 0;

  // Begin event loop; generate until none left in input file.
  for (int iEvent = 0; ; ++iEvent) {
    cout << endl << "Begin event # " << iEvent << endl;

    // Generate events, and check whether generation failed.
    if (!pythia.next()) {

      // If failure because reached end of file then exit event loop.
      if (pythia.info.atEndOfFile()) break;

      // First few failures write off as "acceptable" errors, then quit.
      if (++iAbort < nAbort) continue;
      break;
    }

    // Sum up final charged multiplicity and fill in histogram.
    int nChg = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
    if (pythia.event[i].isFinal() && pythia.event[i].isCharged())
      ++nChg;
    nCharged.fill(nChg);

  // End of event loop.
  }

  // Give statistics. Print histogram.
  pythia.stat();
  cout << nCharged;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/w_production_tree_0.lhe0000644000175000017500000053270712357054722020646 0ustar  sunsun

      


# MG    version    : 5.1.5.5


#************************************************************
#*                        MadGraph 5                        *
#*                                                          *
#*                *                       *                 *
#*                  *        * *        *                   *
#*                    * * * * 5 * * * *                     *
#*                  *        * *        *                   *
#*                *                       *                 *
#*                                                          *
#*                                                          *
#*         VERSION 1.5.5                 2012-11-18         *
#*                                                          *
#*    The MadGraph Development Team - Please visit us at    *
#*    https://server06.fynu.ucl.ac.be/projects/madgraph     *
#*                                                          *
#************************************************************
#*                                                          *
#*               Command File for MadGraph 5                *
#*                                                          *
#*     run as ./bin/mg5  filename                           *
#*                                                          *
#************************************************************
set group_subprocesses Auto
set ignore_six_quark_processes False
set gauge unitary
set complex_mass_scheme False
import model sm
define p = g u c d s u~ c~ d~ s~
define j = g u c d s u~ c~ d~ s~
define l+ = e+ mu+
define l- = e- mu-
define vl = ve vm vt
define vl~ = ve~ vm~ vt~
# Specify process(es) to run
generate p p > w+ , w+ > e+ ve QED=2 @1
add process p p > w- , w- > e- ve~ QED=2 @2
# Output processes to MadEvent directory
output -f


#*********************************************************************
#                        MadGraph/MadEvent                           *
#                   http://madgraph.hep.uiuc.edu                     *
#                                                                    *
#                          proc_card.dat                             *
#*********************************************************************
#                                                                    *
#            This Files is generated by MADGRAPH 5                   *
#                                                                    *
# WARNING: This Files is generated for MADEVENT (compatibility issue)*
#          This files is NOT a valid MG4 proc_card.dat               *
#          Running this in MG4 will NEVER reproduce the result of MG5*
#                                                                    *
#*********************************************************************
#*********************************************************************
# Process(es) requested : mg2 input                                  *
#*********************************************************************
# Begin PROCESS # This is TAG. Do not modify this line
p p > w+ , w+ > e+ ve @1           #Process
# Be carefull the coupling are here in MG5 convention
QED=2
end_coup           # End the couplings input
done               # this tells MG there are no more procs
# End PROCESS  # This is TAG. Do not modify this line
#*********************************************************************
# Model information                                                  *
#*********************************************************************
# Begin MODEL  # This is TAG. Do not modify this line
sm
# End   MODEL  # This is TAG. Do not modify this line
#*********************************************************************
# Start multiparticle definitions                                    *
#*********************************************************************
# Begin MULTIPARTICLES # This is TAG. Do not modify this line
# End  MULTIPARTICLES # This is TAG. Do not modify this line


######################################################################
## PARAM_CARD AUTOMATICALY GENERATED BY MG5 FOLLOWING UFO MODEL   ####
######################################################################
##                                                                  ##
##  Width set on Auto will be computed following the information    ##
##        present in the decay.py files of the model. By default,   ##
##        this is only 1->2 decay modes.                            ##
##                                                                  ##
######################################################################
###################################
## INFORMATION FOR MASS
###################################
Block mass 
    5 4.700000e+00 # MB 
    6 1.730000e+02 # MT 
   15 1.777000e+00 # MTA 
   23 9.118800e+01 # MZ 
   25 1.200000e+02 # MH 
##  Not dependent paramater.
## Those values should be edited following the 
## analytical expression. MG5 ignore those values 
## but they are important for interfacing the output of MG5
## to external program such as Pythia.
  1 0.000000 # d : 0.0 
  2 0.000000 # u : 0.0 
  3 0.000000 # s : 0.0 
  4 0.000000 # c : 0.0 
  11 0.000000 # e- : 0.0 
  12 0.000000 # ve : 0.0 
  13 0.000000 # mu- : 0.0 
  14 0.000000 # vm : 0.0 
  16 0.000000 # vt : 0.0 
  21 0.000000 # g : 0.0 
  22 0.000000 # a : 0.0 
  24 80.419002 # w+ : cmath.sqrt(MZ__exp__2/2. + cmath.sqrt(MZ__exp__4/4. - (aEW*cmath.pi*MZ__exp__2)/(Gf*sqrt__2))) 
###################################
## INFORMATION FOR SMINPUTS
###################################
Block sminputs 
    1 1.325070e+02 # aEWM1 
    2 1.166390e-05 # Gf 
    3 1.180000e-01 # aS 
###################################
## INFORMATION FOR YUKAWA
###################################
Block yukawa 
    5 4.200000e+00 # ymb 
    6 1.645000e+02 # ymt 
   15 1.777000e+00 # ymtau 
###################################
## INFORMATION FOR DECAY
###################################
DECAY   6 1.491500e+00 # WT 
DECAY  23 2.441404e+00 # WZ 
DECAY  24 2.047600e+00 # WW 
DECAY  25 5.753088e-03 # WH 
##  Not dependent paramater.
## Those values should be edited following the 
## analytical expression. MG5 ignore those values 
## but they are important for interfacing the output of MG5
## to external program such as Pythia.
DECAY  1 0.000000 # d : 0.0 
DECAY  2 0.000000 # u : 0.0 
DECAY  3 0.000000 # s : 0.0 
DECAY  4 0.000000 # c : 0.0 
DECAY  5 0.000000 # b : 0.0 
DECAY  11 0.000000 # e- : 0.0 
DECAY  12 0.000000 # ve : 0.0 
DECAY  13 0.000000 # mu- : 0.0 
DECAY  14 0.000000 # vm : 0.0 
DECAY  15 0.000000 # ta- : 0.0 
DECAY  16 0.000000 # vt : 0.0 
DECAY  21 0.000000 # g : 0.0 
DECAY  22 0.000000 # a : 0.0 


#*********************************************************************
#                       MadGraph/MadEvent                            *
#                  http://madgraph.hep.uiuc.edu                      *
#                                                                    *
#                        run_card.dat                                *
#                                                                    *
#  This file is used to set the parameters of the run.               *
#                                                                    *
#  Some notation/conventions:                                        *
#                                                                    *
#   Lines starting with a '# ' are info or comments                  *
#                                                                    *
#   mind the format:   value    = variable     ! comment             *
#*********************************************************************
#
#*******************                                                 
# Running parameters
#*******************                                                 
#                                                                    
#*********************************************************************
# Tag name for the run (one word)                                    *
#*********************************************************************
  tag_1     = run_tag ! name of the run 
#*********************************************************************
# Run to generate the grid pack                                      *
#*********************************************************************
  .false.     = gridpack  !True = setting up the grid pack
#*********************************************************************
# Number of events and rnd seed                                      *
# Warning: Do not generate more than 1M events in a single run       *
# If you want to run Pythia, avoid more than 50k events in a run.    *
#*********************************************************************
  1000        = nevents ! Number of unweighted events requested 
      405 = iseed   ! rnd seed (0=assigned automatically=default))
#*********************************************************************
# Collider type and energy                                           *
# lpp: 0=No PDF, 1=proton, -1=antiproton, 2=photon from proton,      *
#                                         3=photon from electron     *
#*********************************************************************
        1     = lpp1    ! beam 1 type 
        1     = lpp2    ! beam 2 type
     3500     = ebeam1  ! beam 1 total energy in GeV
     3500     = ebeam2  ! beam 2 total energy in GeV
#*********************************************************************
# Beam polarization from -100 (left-handed) to 100 (right-handed)    *
#*********************************************************************
        0     = polbeam1 ! beam polarization for beam 1
        0     = polbeam2 ! beam polarization for beam 2
#*********************************************************************
# PDF CHOICE: this automatically fixes also alpha_s and its evol.    *
#*********************************************************************
 'lhapdf'    = pdlabel     ! PDF set                                  
 10042       = lhaid          ! PDF set cteq6m
#*********************************************************************
# Renormalization and factorization scales                           *
#*********************************************************************
 T        = fixed_ren_scale  ! if .true. use fixed ren scale
 T        = fixed_fac_scale  ! if .true. use fixed fac scale
 91.1880  = scale            ! fixed ren scale
 80.4     = dsqrt_q2fact1    ! fixed fact scale for pdf1
 80.4     = dsqrt_q2fact2    ! fixed fact scale for pdf2
 1        = scalefact        ! scale factor for event-by-event scales
#*********************************************************************
# Matching - Warning! ickkw > 1 is still beta
#*********************************************************************
 0        = ickkw            ! 0 no matching, 1 MLM, 2 CKKW matching
 1        = highestmult      ! for ickkw=2, highest mult group
 1        = ktscheme         ! for ickkw=1, 1 Durham kT, 2 Pythia pTE
 1        = alpsfact         ! scale factor for QCD emission vx
 F        = chcluster        ! cluster only according to channel diag
 F        = pdfwgt           ! for ickkw=1, perform pdf reweighting
#*********************************************************************
# Automatic ptj and mjj cuts if xqcut > 0
# (turn off for VBF and single top processes)
#**********************************************************
   F  = auto_ptj_mjj  ! Automatic setting of ptj and mjj
#**********************************************************
#                                                                    
#**********************************
# BW cutoff (M+/-bwcutoff*Gamma)
#**********************************
  5  = bwcutoff      ! (M+/-bwcutoff*Gamma)
#**********************************************************
# Apply pt/E/eta/dr/mij cuts on decay products or not
# (note that etmiss/ptll/ptheavy/ht/sorted cuts always apply)
#**********************************************************
   F  = cut_decays    ! Cut decay products 
#*************************************************************
# Number of helicities to sum per event (0 = all helicities)
# 0 gives more stable result, but longer run time (needed for
# long decay chains e.g.).
# Use >=2 if most helicities contribute, e.g. pure QCD.
#*************************************************************
   0  = nhel          ! Number of helicities used per event
#*******************                                                 
# Standard Cuts
#*******************                                                 
#                                                                    
#*********************************************************************
# Minimum and maximum pt's (for max, -1 means no cut)                *
#*********************************************************************
  5 = ptj       ! minimum pt for the jets 
  0 = ptb       ! minimum pt for the b 
  0  = pta       ! minimum pt for the photons 
  0  = ptl       ! minimum pt for the charged leptons 
  0  = misset    ! minimum missing Et (sum of neutrino's momenta)
  0  = ptheavy   ! minimum pt for one heavy final state
  0  = ptonium   ! minimum pt for the quarkonium states
 -1  = ptjmax    ! maximum pt for the jets
 -1  = ptbmax    ! maximum pt for the b
 -1  = ptamax    ! maximum pt for the photons
 -1  = ptlmax    ! maximum pt for the charged leptons
 -1  = missetmax ! maximum missing Et (sum of neutrino's momenta)
#*********************************************************************
# Minimum and maximum E's (in the lab frame)                         *
#*********************************************************************
  0  = ej     ! minimum E for the jets 
  0  = eb     ! minimum E for the b 
  0  = ea     ! minimum E for the photons 
  0  = el     ! minimum E for the charged leptons 
 -1   = ejmax ! maximum E for the jets
 -1   = ebmax ! maximum E for the b
 -1   = eamax ! maximum E for the photons
 -1   = elmax ! maximum E for the charged leptons
#*********************************************************************
# Maximum and minimum absolute rapidity (for max, -1 means no cut)   *
#*********************************************************************
  -1  = etaj    ! max rap for the jets 
  -1  = etab    ! max rap for the b
  -1  = etaa    ! max rap for the photons 
  -1  = etal    ! max rap for the charged leptons 
  -1  = etaonium ! max rap for the quarkonium states
   0  = etajmin ! min rap for the jets
   0  = etabmin ! min rap for the b
   0  = etaamin ! min rap for the photons
   0  = etalmin ! main rap for the charged leptons
#*********************************************************************
# Minimum and maximum DeltaR distance                                *
#*********************************************************************
 1d-2 = drjj    ! min distance between jets 
 0    = drbb    ! min distance between b's 
 0    = drll    ! min distance between leptons 
 0    = draa    ! min distance between gammas 
 0    = drbj    ! min distance between b and jet 
 0   = draj    ! min distance between gamma and jet 
 0   = drjl    ! min distance between jet and lepton 
 0   = drab    ! min distance between gamma and b 
 0   = drbl    ! min distance between b and lepton 
 0   = dral    ! min distance between gamma and lepton 
 -1  = drjjmax ! max distance between jets
 -1  = drbbmax ! max distance between b's
 -1  = drllmax ! max distance between leptons
 -1  = draamax ! max distance between gammas
 -1  = drbjmax ! max distance between b and jet
 -1  = drajmax ! max distance between gamma and jet
 -1  = drjlmax ! max distance between jet and lepton
 -1  = drabmax ! max distance between gamma and b
 -1  = drblmax ! max distance between b and lepton
 -1  = dralmax ! maxdistance between gamma and lepton
#*********************************************************************
# Minimum and maximum invariant mass for pairs                       *
#*********************************************************************
 5.0 = mmjj    ! min invariant mass of a jet pair 
 0   = mmbb    ! min invariant mass of a b pair 
 0   = mmaa    ! min invariant mass of gamma gamma pair
 0   = mmll    ! min invariant mass of l+l- (same flavour) lepton pair
 -1  = mmjjmax ! max invariant mass of a jet pair
 -1  = mmbbmax ! max invariant mass of a b pair
 -1  = mmaamax ! max invariant mass of gamma gamma pair
 -1  = mmllmax ! max invariant mass of l+l- (same flavour) lepton pair
#*********************************************************************
# Minimum and maximum invariant mass for all letpons                 *
#*********************************************************************
 0   = mmnl    ! min invariant mass for all letpons (l+- and vl) 
 -1  = mmnlmax ! max invariant mass for all letpons (l+- and vl) 
#*********************************************************************
# Minimum and maximum pt for 4-momenta sum of leptons                *
#*********************************************************************
 0   = ptllmin  ! Minimum pt for 4-momenta sum of leptons(l and vl)
 -1  = ptllmax  ! Maximum pt for 4-momenta sum of leptons(l and vl)
#*********************************************************************
# Inclusive cuts                                                     *
#*********************************************************************
 0  = xptj ! minimum pt for at least one jet  
 0  = xptb ! minimum pt for at least one b 
 0  = xpta ! minimum pt for at least one photon 
 0  = xptl ! minimum pt for at least one charged lepton 
#*********************************************************************
# Control the pt's of the jets sorted by pt                          *
#*********************************************************************
 0   = ptj1min ! minimum pt for the leading jet in pt
 0   = ptj2min ! minimum pt for the second jet in pt
 0   = ptj3min ! minimum pt for the third jet in pt
 0   = ptj4min ! minimum pt for the fourth jet in pt
 -1  = ptj1max ! maximum pt for the leading jet in pt 
 -1  = ptj2max ! maximum pt for the second jet in pt
 -1  = ptj3max ! maximum pt for the third jet in pt
 -1  = ptj4max ! maximum pt for the fourth jet in pt
 0   = cutuse  ! reject event if fails any (0) / all (1) jet pt cuts
#*********************************************************************
# Control the pt's of leptons sorted by pt                           *
#*********************************************************************
 0   = ptl1min ! minimum pt for the leading lepton in pt
 0   = ptl2min ! minimum pt for the second lepton in pt
 0   = ptl3min ! minimum pt for the third lepton in pt
 0   = ptl4min ! minimum pt for the fourth lepton in pt
 -1  = ptl1max ! maximum pt for the leading lepton in pt 
 -1  = ptl2max ! maximum pt for the second lepton in pt
 -1  = ptl3max ! maximum pt for the third lepton in pt
 -1  = ptl4max ! maximum pt for the fourth lepton in pt
#*********************************************************************
# Control the Ht(k)=Sum of k leading jets                            *
#*********************************************************************
 0   = htjmin ! minimum jet HT=Sum(jet pt)
 -1  = htjmax ! maximum jet HT=Sum(jet pt)
 0   = ihtmin  !inclusive Ht for all partons (including b)
 -1  = ihtmax  !inclusive Ht for all partons (including b)
 0   = ht2min ! minimum Ht for the two leading jets
 0   = ht3min ! minimum Ht for the three leading jets
 0   = ht4min ! minimum Ht for the four leading jets
 -1  = ht2max ! maximum Ht for the two leading jets
 -1  = ht3max ! maximum Ht for the three leading jets
 -1  = ht4max ! maximum Ht for the four leading jets
#*********************************************************************
# WBF cuts                                                           *
#*********************************************************************
 0   = xetamin ! minimum rapidity for two jets in the WBF case  
 0   = deltaeta ! minimum rapidity for two jets in the WBF case 
#*********************************************************************
# maximal pdg code for quark to be considered as a light jet         *
# (otherwise b cuts are applied)                                     *
#*********************************************************************
 4 = maxjetflavor    ! Maximum jet pdg code
#*********************************************************************
# Jet measure cuts                                                   *
#*********************************************************************
 2.0 = xqcut   ! minimum kt jet measure between partons
#*********************************************************************
 0d0 = kt_durham    ! minimum durham kt jet measure between partons
 0.4 = d_parameter  ! D parameter for hadronic kT
 F   = do_kt_durham        ! T: enable durham kt cut
 15  = pt_pythia    ! minimum pythia pt jet measure between partons
 0   = njets_requested  ! number of jets above the pythia pt cut
 F   = do_pt_pythia        ! T: enable pythia pt cut
#*********************************************************************


#  Number of Events        :        1000
#  Integrated weight (pb)  :  .77489E+04
#  Truncated wgt (pb)      :  .00000E+00
#  Unit wgt                :  .77489E+01


      

     2212     2212  0.35000000000E+04  0.35000000000E+04 0 0 10042 10042 3  2
  0.46446972880E+04  0.17139268058E+02  0.77489000000E+01   1
  0.31042443040E+04  0.11454885420E+02  0.77489000000E+01   2


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.26479484980E+03  0.26479484980E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.63048363096E+01  0.63048363096E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.25849001349E+03  0.27109968611E+03  0.81718741636E+02 0.  0.
       11    1    3    3    0    0 -0.26728737129E+02 -0.10555404599E+02  0.22560295169E+03  0.22742588631E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26728737129E+02  0.10555404599E+02  0.32887061805E+02  0.43673799799E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.39028810522E+01  0.39028810522E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.42106008141E+03  0.42106008141E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.41715720035E+03  0.42496296246E+03  0.81076443276E+02 0.  0.
       11    1    3    3    0    0  0.18084363820E+02 -0.33476000924E+02 -0.13526103406E+03  0.14051061948E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.18084363820E+02  0.33476000924E+02 -0.28189616629E+03  0.28445234297E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.48880149394E+01  0.48880149394E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.32709852979E+03  0.32709852979E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.32221051485E+03  0.33198654473E+03  0.79971557451E+02 0.  0.
      -11    1    3    3    0    0  0.29028114163E+02 -0.26529522081E+02 -0.13105037816E+03  0.13682342113E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29028114163E+02  0.26529522081E+02 -0.19116013669E+03  0.19516312360E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11445790066E+02  0.11445790066E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14045709431E+03  0.14045709431E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.12901130424E+03  0.15190288438E+03  0.80190832761E+02 0.  0.
       11    1    3    3    0    0 -0.13890264809E+02 -0.31737136055E+02 -0.10274251647E+03  0.10842605753E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.13890264809E+02  0.31737136055E+02 -0.26268787779E+02  0.43476826848E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.17300140804E+03  0.17300140804E+03  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.93967368866E+01  0.93967368866E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.16360467116E+03  0.18239814493E+03  0.80638668451E+02 0.  0.
      -11    1    3    3    0    0  0.14780994942E+02  0.14192170491E+02  0.32595535122E+01  0.20748980790E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.14780994942E+02 -0.14192170491E+02  0.16034511764E+03  0.16164916414E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.98291981406E+01  0.98291981406E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.16240810410E+03  0.16240810410E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.15257890596E+03  0.17223730224E+03  0.79908483526E+02 0.  0.
      -11    1    3    3    0    0  0.11070780135E+02  0.14532239439E+02  0.29948760809E+00  0.18271230083E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.11070780135E+02 -0.14532239439E+02 -0.15287839357E+03  0.15396607216E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24466272179E+03  0.24466272179E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.73196679898E+01  0.73196679898E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23734305380E+03  0.25198238978E+03  0.84636868869E+02 0.  0.
      -11    1    3    3    0    0 -0.70677818333E+01 -0.34207324835E+02  0.47544350048E+02  0.58996269661E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.70677818333E+01  0.34207324835E+02  0.18979870375E+03  0.19298612012E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15389271654E+02  0.15389271654E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10259904643E+03  0.10259904643E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.87209774775E+02  0.11798831808E+03  0.79471368352E+02 0.  0.
       11    1    3    3    0    0 -0.12455020664E+02 -0.28448059175E+02 -0.80408548676E+02  0.86197182731E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.12455020664E+02  0.28448059175E+02 -0.68012260993E+01  0.31791135353E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.76820893270E+03  0.76820893270E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.20496323379E+01  0.20496323379E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.76615930036E+03  0.77025856504E+03  0.79361095524E+02 0.  0.
      -11    1    3    3    0    0 -0.24465365974E+02  0.17905578657E+02  0.13460840652E+03  0.13798038623E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24465365974E+02 -0.17905578657E+02  0.63155089385E+03  0.63227817881E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.13404744363E+02  0.13404744363E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.93752218056E+02  0.93752218056E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.80347473693E+02  0.10715696242E+03  0.70900621056E+02 0.  0.
      -11    1    3    3    0    0  0.96205174230E+01  0.21522220740E+02 -0.15915654032E+00  0.23575107039E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.96205174230E+01 -0.21522220740E+02 -0.80188317152E+02  0.83581855380E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.72453613761E+03  0.72453613761E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.23128622467E+01  0.23128622467E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.72222327536E+03  0.72684899986E+03  0.81871906758E+02 0.  0.
      -11    1    3    3    0    0  0.16126402556E+02 -0.34326305431E+02  0.22432422001E+03  0.22750760819E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16126402556E+02  0.34326305431E+02  0.49789905536E+03  0.49934139166E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.21388125187E+02  0.21388125187E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.72323981742E+02  0.72323981742E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.50935856555E+02  0.93712106929E+02  0.78660647735E+02 0.  0.
       11    1    3    3    0    0  0.74997746125E+01  0.19498801987E+02  0.14231357833E+02  0.25278082283E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.74997746125E+01 -0.19498801987E+02 -0.65167214387E+02  0.68434024645E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.10800513069E+04  0.10800513069E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15106034943E+01  0.15106034943E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.10785407034E+04  0.10815619104E+04  0.80784386568E+02 0.  0.
      -11    1    3    3    0    0 -0.23088478716E+02 -0.80587789969E+01  0.10886191951E+03  0.11157481476E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23088478716E+02  0.80587789969E+01  0.96967878391E+03  0.96998709566E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15088335807E+03  0.15088335807E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.92619924252E+01  0.92619924252E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.14162136564E+03  0.16014535049E+03  0.74765781464E+02 0.  0.
      -11    1    3    3    0    0 -0.30725939917E+02  0.14534863544E+02  0.10414105264E+03  0.10954772699E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30725939917E+02 -0.14534863544E+02  0.37480312997E+02  0.50597623505E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.65850070690E+02  0.65850070690E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.24120139807E+02  0.24120139807E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.41729930884E+02  0.89970210497E+02  0.79707287279E+02 0.  0.
      -11    1    3    3    0    0  0.22459396099E+02 -0.47733659287E+01  0.57633774566E+02  0.62039192984E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22459396099E+02  0.47733659287E+01 -0.15903843682E+02  0.27931017513E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.31691162203E+02  0.31691162203E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.51075564790E+02  0.51075564790E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.19384402587E+02  0.82766726993E+02  0.80464750254E+02 0.  0.
      -11    1    3    3    0    0 -0.71851023511E+01 -0.30993818337E+02 -0.35021913802E+02  0.47315715330E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.71851023511E+01  0.30993818337E+02  0.15637511215E+02  0.35451011662E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.10277763359E+03  0.10277763359E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14669539437E+02  0.14669539437E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.88108094155E+02  0.11744717303E+03  0.77658239723E+02 0.  0.
      -11    1    3    3    0    0 -0.37533001350E+01 -0.18867426652E+01 -0.14324859291E+02  0.14928116208E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.37533001350E+01  0.18867426652E+01  0.10243295345E+03  0.10251905682E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.74743523017E+01  0.74743523017E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.23760913324E+03  0.23760913324E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.23013478094E+03  0.24508348555E+03  0.84284621894E+02 0.  0.
      -11    1    3    3    0    0 -0.36468793192E+02  0.35149643480E+00 -0.53666636953E+02  0.64886087480E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36468793192E+02 -0.35149643480E+00 -0.17646814399E+03  0.18019739807E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.54262643413E+01  0.54262643413E+01  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.30245175713E+03  0.30245175713E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.29702549279E+03  0.30787802147E+03  0.81023038321E+02 0.  0.
      -11    1    3    3    0    0  0.20307763083E+02 -0.34969623240E+02 -0.15774528292E+03  0.16284610549E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20307763083E+02  0.34969623240E+02 -0.13928020987E+03  0.14503191597E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19094418614E+02  0.19094418614E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.83187280425E+02  0.83187280425E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.64092861811E+02  0.10228169904E+03  0.79709792517E+02 0.  0.
      -11    1    3    3    0    0 -0.17458343768E+02  0.17859009096E+02  0.78080097139E+01  0.26166829933E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17458343768E+02 -0.17859009096E+02 -0.71900871525E+02  0.76114869106E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.56967056569E+03  0.56967056569E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27621114168E+01  0.27621114168E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.56690845427E+03  0.57243267710E+03  0.79334571867E+02 0.  0.
       11    1    3    3    0    0 -0.11250672149E+02 -0.32038675255E+02  0.13550470908E+03  0.13969459731E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.11250672149E+02  0.32038675255E+02  0.43140374519E+03  0.43273807979E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.23612832028E+04  0.23612832028E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.69577762865E+00  0.69577762865E+00  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23605874252E+04  0.23619789805E+04  0.81066097166E+02 0.  0.
      -11    1    3    3    0    0  0.80828757110E+01 -0.23948821572E+02  0.25705450915E+03  0.25829421133E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.80828757110E+01  0.23948821572E+02  0.21035329161E+04  0.21036847691E+04  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.32590078594E+01  0.32590078594E+01  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.49725621622E+03  0.49725621622E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.49399720836E+03  0.50051522408E+03  0.80512406914E+02 0.  0.
       11    1    3    3    0    0  0.87925754952E+01  0.12442622219E+02 -0.47864046907E+03  0.47888289472E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.87925754952E+01 -0.12442622219E+02 -0.15356739291E+02  0.21632329352E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.42113341345E+03  0.42113341345E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.40418410179E+01  0.40418410179E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.41709157243E+03  0.42517525446E+03  0.82514345528E+02 0.  0.
      -11    1    3    3    0    0  0.45385720892E+01 -0.29282709937E+01 -0.22121862487E+01  0.58367093144E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.45385720892E+01  0.29282709937E+01  0.41930375868E+03  0.41933854515E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.22401860125E+01  0.22401860125E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.76987132361E+03  0.76987132361E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.76763113760E+03  0.77211150962E+03  0.83057930881E+02 0.  0.
       11    1    3    3    0    0  0.28282508346E+02 -0.29643007178E+02 -0.32073454561E+03  0.32334077519E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.28282508346E+02  0.29643007178E+02 -0.44689659199E+03  0.44877073443E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.61376499772E+02  0.61376499772E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25381446874E+02  0.25381446874E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.35995052897E+02  0.86757946646E+02  0.78938567716E+02 0.  0.
      -11    1    3    3    0    0 -0.22235049246E+02 -0.29371031575E+02  0.33570403160E+02  0.49840012832E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22235049246E+02  0.29371031575E+02  0.24246497377E+01  0.36917933814E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.31633608711E+03  0.31633608711E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.52318437027E+01  0.52318437027E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.31110424340E+03  0.32156793081E+03  0.81363897775E+02 0.  0.
      -11    1    3    3    0    0  0.63240683464E+01  0.28218383633E+02  0.26864014913E+03  0.27019215522E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.63240683464E+01 -0.28218383633E+02  0.42464094271E+02  0.51375775591E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.34637450368E+01  0.34637450368E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.48594881400E+03  0.48594881400E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.48248506897E+03  0.48941255904E+03  0.82053709061E+02 0.  0.
       11    1    3    3    0    0  0.51230888840E+01 -0.14990768056E+02 -0.46696969867E+03  0.46723834243E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.51230888840E+01  0.14990768056E+02 -0.15515370300E+02  0.22174216608E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.67919030185E+02  0.67919030185E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.23319624756E+02  0.23319624756E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.44599405429E+02  0.91238654942E+02  0.79595132960E+02 0.  0.
      -11    1    3    3    0    0 -0.14168159655E+02  0.32601547758E+02  0.42813025048E+02  0.55646678050E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.14168159655E+02 -0.32601547758E+02  0.17863803809E+01  0.35591976892E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.76806306086E+02  0.76806306086E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21221785726E+02  0.21221785726E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.55584520359E+02  0.98028091812E+02  0.80745698837E+02 0.  0.
      -11    1    3    3    0    0  0.23672485355E+02 -0.66269966519E+01  0.66672914411E+02  0.71060405034E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.23672485355E+02  0.66269966519E+01 -0.11088394052E+02  0.26967686778E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.69172598517E+02  0.69172598517E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21809939436E+02  0.21809939436E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.47362659081E+02  0.90982537953E+02  0.77682692648E+02 0.  0.
       11    1    3    3    0    0  0.11863833526E+02  0.46321818952E+01 -0.19294838293E+02  0.23119222301E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.11863833526E+02 -0.46321818952E+01  0.66657497374E+02  0.67863315652E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.46290522418E+01  0.46290522418E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.35226350642E+03  0.35226350642E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.34763445418E+03  0.35689255866E+03  0.80762520369E+02 0.  0.
      -11    1    3    3    0    0  0.10188845301E+02 -0.34591523216E+02 -0.25412465215E+03  0.25667045969E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10188845301E+02  0.34591523216E+02 -0.93509802025E+02  0.10022209897E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.97816163708E+00  0.97816163708E+00  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.18184926775E+04  0.18184926775E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.18175145159E+04  0.18194708392E+04  0.84351165362E+02 0.  0.
      -11    1    3    3    0    0 -0.23235872660E+02 -0.33487055855E+02 -0.67495081633E+03  0.67618037028E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23235872660E+02  0.33487055855E+02 -0.11425636996E+04  0.11432904689E+04  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.72893363184E+03  0.72893363184E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.22741085280E+01  0.22741085280E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.72665952331E+03  0.73120774036E+03  0.81429090343E+02 0.  0.
       11    1    3    3    0    0 -0.28684416500E+01  0.18120207675E+02  0.68971443056E+03  0.68995837962E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.28684416500E+01 -0.18120207675E+02  0.36945092746E+02  0.41249360743E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10416456869E+02  0.10416456869E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.15255978594E+03  0.15255978594E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14214332907E+03  0.16297624281E+03  0.79727847838E+02 0.  0.
       11    1    3    3    0    0  0.50008878219E+01 -0.38183218978E+02 -0.92133956924E+02  0.99858064817E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.50008878219E+01  0.38183218978E+02 -0.50009372146E+02  0.63118177992E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.56569371299E+03  0.56569371299E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27688968943E+01  0.27688968943E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.56292481610E+03  0.56846260988E+03  0.79154218207E+02 0.  0.
      -11    1    3    3    0    0 -0.35919820109E+02  0.16615559947E+02  0.28007620778E+03  0.28285860862E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35919820109E+02 -0.16615559947E+02  0.28284860832E+03  0.28560400126E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.25384109323E+01  0.25384109323E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.65995759823E+03  0.65995759823E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.65741918730E+03  0.66249600916E+03  0.81859479163E+02 0.  0.
      -11    1    3    3    0    0 -0.21793909652E+02 -0.18962917456E+02 -0.94055123220E+02  0.98391732073E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21793909652E+02  0.18962917456E+02 -0.56336406408E+03  0.56410427709E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24248657338E+03  0.24248657338E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.68919585033E+01  0.68919585033E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23559461488E+03  0.24937853188E+03  0.81760807269E+02 0.  0.
      -11    1    3    3    0    0  0.12136762767E+02 -0.38203404019E+02  0.93319184611E+02  0.10156412411E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.12136762767E+02  0.38203404019E+02  0.14227543026E+03  0.14781440778E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.10718922683E+04  0.10718922683E+04  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15517056713E+01  0.15517056713E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.10703405626E+04  0.10734439740E+04  0.81566201620E+02 0.  0.
       11    1    3    3    0    0  0.25192462663E+02 -0.25401258858E+02  0.79285120935E+03  0.79365793910E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.25192462663E+02  0.25401258858E+02  0.27748935327E+03  0.27978603486E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15266821110E+03  0.15266821110E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10307535969E+02  0.10307535969E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.14236067513E+03  0.16297574707E+03  0.79338088639E+02 0.  0.
       11    1    3    3    0    0  0.17896475110E+02  0.91361421297E+01  0.91972442527E+00  0.20114641617E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.17896475110E+02 -0.91361421297E+01  0.14144095070E+03  0.14286110545E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.59641443121E+03  0.59641443121E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.27732339154E+01  0.27732339154E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.59364119729E+03  0.59918766512E+03  0.81338717184E+02 0.  0.
      -11    1    3    3    0    0  0.32775084803E+02 -0.74169030548E+01  0.12806654184E+03  0.13240187225E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.32775084803E+02  0.74169030548E+01  0.46557465545E+03  0.46678579287E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.60604076564E+01  0.60604076564E+01  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27518181292E+03  0.27518181292E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.26912140526E+03  0.28124222057E+03  0.81675307551E+02 0.  0.
       11    1    3    3    0    0  0.64645862904E+00  0.38859250125E+02 -0.17774159448E+03  0.18194101692E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.64645862904E+00 -0.38859250125E+02 -0.91379810778E+02  0.99301203652E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.65860846299E+01  0.65860846299E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.24205808413E+03  0.24205808413E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.23547199950E+03  0.24864416876E+03  0.79855244723E+02 0.  0.
      -11    1    3    3    0    0  0.80450250075E+01  0.81266858646E-01 -0.23950804097E+03  0.23964313202E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.80450250075E+01 -0.81266858646E-01  0.40360414737E+01  0.90010367431E+01  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.22226238018E+02  0.22226238018E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.74482141419E+02  0.74482141419E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.52255903401E+02  0.96708379437E+02  0.81374634949E+02 0.  0.
      -11    1    3    3    0    0  0.28719596430E+02  0.88363060339E+00 -0.60363550978E+02  0.66853229606E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.28719596430E+02 -0.88363060339E+00  0.81076475770E+01  0.29855149830E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.34245255185E+01  0.34245255185E+01  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47694364248E+03  0.47694364248E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.47351911696E+03  0.48036816800E+03  0.80828353306E+02 0.  0.
       11    1    3    3    0    0 -0.34500141776E+02  0.75120965059E+01 -0.35361513580E+03  0.35537354381E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.34500141776E+02 -0.75120965059E+01 -0.11990398116E+03  0.12499462418E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.14547878643E+03  0.14547878643E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11148108950E+02  0.11148108950E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.13433067748E+03  0.15662689538E+03  0.80543487904E+02 0.  0.
      -11    1    3    3    0    0 -0.19962092824E+02 -0.23163057094E+01 -0.70076921922E+00  0.20108244566E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.19962092824E+02  0.23163057094E+01  0.13503144670E+03  0.13651865081E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.71689234084E+01  0.71689234084E+01  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21793527991E+03  0.21793527991E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.21076635650E+03  0.22510420332E+03  0.79053433313E+02 0.  0.
       11    1    3    3    0    0 -0.71810382449E+01  0.35534871635E+02 -0.15023161329E+03  0.15454394858E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.71810382449E+01 -0.35534871635E+02 -0.60534743213E+02  0.70560254735E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.32814463101E+03  0.32814463101E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.50285898056E+01  0.50285898056E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.32311604120E+03  0.33317322081E+03  0.81242962679E+02 0.  0.
       11    1    3    3    0    0  0.56228756424E+00 -0.45311170869E+01  0.32708897033E+03  0.32712083655E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.56228756424E+00  0.45311170869E+01 -0.39729291345E+01  0.60523842631E+01  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.36110618020E+03  0.36110618020E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.42178080082E+01  0.42178080082E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.35688837220E+03  0.36532398821E+03  0.78053226421E+02 0.  0.
      -11    1    3    3    0    0 -0.12676874036E+02  0.13193258461E+02  0.17100323384E+02  0.25043687108E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12676874036E+02 -0.13193258461E+02  0.33978804881E+03  0.34028030110E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.23945251765E+03  0.23945251765E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.66281923998E+01  0.66281923998E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23282432525E+03  0.24608071005E+03  0.79677785050E+02 0.  0.
       11    1    3    3    0    0 -0.38988438676E+01  0.35488822081E+02  0.17100697140E+03  0.17469413769E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.38988438676E+01 -0.35488822081E+02  0.61817353857E+02  0.71386572365E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.16329095013E+02  0.16329095013E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10220498890E+03  0.10220498890E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.85875893887E+02  0.11853408391E+03  0.81704711604E+02 0.  0.
      -11    1    3    3    0    0 -0.20106797454E+02 -0.88006079536E+01  0.70487695024E+01  0.23052530354E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20106797454E+02  0.88006079536E+01 -0.92924663389E+02  0.95481553560E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.76114948605E+02  0.76114948605E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21909865619E+02  0.21909865619E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.54205082986E+02  0.98024814223E+02  0.81674189203E+02 0.  0.
       11    1    3    3    0    0 -0.26859659188E+02  0.17955141520E+02 -0.28744309754E+01  0.32435948455E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26859659188E+02 -0.17955141520E+02  0.57079513962E+02  0.65588865769E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13657912701E+02  0.13657912701E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11699813681E+03  0.11699813681E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.10334022411E+03  0.13065604951E+03  0.79948742047E+02 0.  0.
      -11    1    3    3    0    0 -0.21551548823E+01 -0.80955582600E+01 -0.11554740948E+03  0.11585070821E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21551548823E+01  0.80955582600E+01  0.12207185374E+02  0.14805341295E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.31959629405E+01  0.31959629405E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.49653410602E+03  0.49653410602E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.49333814308E+03  0.49973006897E+03  0.79671942403E+02 0.  0.
       11    1    3    3    0    0 -0.22707086812E+02  0.16330238955E+02 -0.42458893526E+03  0.42550916846E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.22707086812E+02 -0.16330238955E+02 -0.68749207825E+02  0.74220900509E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.53986256499E+01  0.53986256499E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.35822087077E+03  0.35822087077E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.35282224512E+03  0.36361949642E+03  0.87952268447E+02 0.  0.
       11    1    3    3    0    0  0.26026982677E+02  0.35788778639E+01 -0.32221056746E+03  0.32327985087E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.26026982677E+02 -0.35788778639E+01 -0.30611677655E+02  0.40339645548E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10035881072E+02  0.10035881072E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.16810992656E+03  0.16810992656E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.15807404548E+03  0.17814580763E+03  0.82149406084E+02 0.  0.
      -11    1    3    3    0    0 -0.11627308027E+02  0.16713929359E+02 -0.16774643803E+01  0.20429479027E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11627308027E+02 -0.16713929359E+02 -0.15639658110E+03  0.15771632860E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13060343750E+04  0.13060343750E+04  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12904429434E+01  0.12904429434E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.13047439320E+04  0.13073248179E+04  0.82106341851E+02 0.  0.
       11    1    3    3    0    0  0.15844058962E+02  0.25253996348E+02  0.11017555710E+04  0.11021588528E+04  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.15844058962E+02 -0.25253996348E+02  0.20298836099E+03  0.20516596509E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.53011619734E+02  0.53011619734E+02  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.32489326233E+02  0.32489326233E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.20522293502E+02  0.85500945967E+02  0.83001489328E+02 0.  0.
       11    1    3    3    0    0  0.40434944819E+02 -0.91976434201E+01  0.11963298309E+02  0.43159030497E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.40434944819E+02  0.91976434201E+01  0.85589951924E+01  0.42341915470E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20397808833E+02  0.20397808833E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.68303549491E+02  0.68303549491E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.47905740658E+02  0.88701358323E+02  0.74652334059E+02 0.  0.
       11    1    3    3    0    0 -0.27408628835E+02 -0.25334664229E+02 -0.24434929510E+02  0.44611029200E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27408628835E+02  0.25334664229E+02 -0.23470811148E+02  0.44090329123E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.17607761239E+04  0.17607761239E+04  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10017596555E+01  0.10017596555E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.17597743643E+04  0.17617778836E+04  0.83997011455E+02 0.  0.
       11    1    3    3    0    0 -0.49649872348E+01  0.11065803792E+02  0.17232445133E+04  0.17232871948E+04  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.49649872348E+01 -0.11065803792E+02  0.36529851011E+02  0.38490688832E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23396358733E+02  0.23396358733E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.75083238974E+02  0.75083238974E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.51686880241E+02  0.98479597708E+02  0.83825399347E+02 0.  0.
       11    1    3    3    0    0 -0.15119034626E+02 -0.25438855463E+02 -0.60713059426E+02  0.67541070174E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.15119034626E+02  0.25438855463E+02  0.90261791854E+01  0.30938527534E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.34905518552E+02  0.34905518552E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.46532121004E+02  0.46532121004E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.11626602452E+02  0.81437639557E+02  0.80603419605E+02 0.  0.
       11    1    3    3    0    0  0.11801548720E+02 -0.28963849652E+02 -0.31493812016E+02  0.44385147675E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.11801548720E+02  0.28963849652E+02  0.19867209563E+02  0.37052491882E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.50533262079E+00  0.50533262079E+00  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.25863855813E+04  0.25863855813E+04  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.25858802487E+04  0.25868909139E+04  0.72304495135E+02 0.  0.
       11    1    3    3    0    0 -0.32811649505E+01 -0.29407117750E+02 -0.20360845346E+04  0.20362995302E+04  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.32811649505E+01  0.29407117750E+02 -0.54979571403E+03  0.55059138368E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.81280416128E+03  0.81280416128E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19862825599E+01  0.19862825599E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.81081787872E+03  0.81479044384E+03  0.80360655302E+02 0.  0.
      -11    1    3    3    0    0 -0.16000743661E+01 -0.25157537901E+02  0.88165179245E+02  0.91698204904E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16000743661E+01  0.25157537901E+02  0.72265269947E+03  0.72309223894E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.33127019948E+01  0.33127019948E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.50559730053E+03  0.50559730053E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.50228459853E+03  0.50891000252E+03  0.81850917796E+02 0.  0.
      -11    1    3    3    0    0  0.14502141301E+02  0.10624344282E+02 -0.22551736985E+02  0.28840416688E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.14502141301E+02 -0.10624344282E+02 -0.47973286155E+03  0.48006958583E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.21993352945E+03  0.21993352945E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.71309037331E+01  0.71309037331E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.21280262572E+03  0.22706443318E+03  0.79204162168E+02 0.  0.
      -11    1    3    3    0    0 -0.23837403276E+02  0.93751640966E+01  0.19815176063E+02  0.32384513261E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23837403276E+02 -0.93751640966E+01  0.19298744966E+03  0.19467991992E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12582014798E+02  0.12582014798E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14053175570E+03  0.14053175570E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.12794974090E+03  0.15311377049E+03  0.84099289645E+02 0.  0.
      -11    1    3    3    0    0 -0.75998981569E+01 -0.26485521740E+02 -0.61449326873E+01  0.28231215198E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.75998981569E+01  0.26485521740E+02 -0.12180480821E+03  0.12488255530E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14361619933E+03  0.14361619933E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.12385821110E+02  0.12385821110E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.13123037822E+03  0.15600202044E+03  0.84351752876E+02 0.  0.
      -11    1    3    3    0    0 -0.80725827503E+01  0.29657769364E+02  0.11902651663E+03  0.12293112517E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.80725827503E+01 -0.29657769364E+02  0.12203861593E+02  0.33070895266E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.32698278157E+01  0.32698278157E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.49237105126E+03  0.49237105126E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.48910122345E+03  0.49564087908E+03  0.80248827008E+02 0.  0.
       11    1    3    3    0    0 -0.26848086665E+02 -0.19098008629E+02 -0.38598855211E+03  0.38739219926E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26848086665E+02  0.19098008629E+02 -0.10311267134E+03  0.10824867982E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.55845490224E+03  0.55845490224E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.26937086312E+01  0.26937086312E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.55576119360E+03  0.56114861087E+03  0.77570994329E+02 0.  0.
      -11    1    3    3    0    0 -0.16917963020E+02  0.30136436765E+02  0.15053496155E+03  0.15445127692E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16917963020E+02 -0.30136436765E+02  0.40522623206E+03  0.40669733395E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.38450453481E+01  0.38450453481E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.40668045669E+03  0.40668045669E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.40283541134E+03  0.41052550204E+03  0.79087414881E+02 0.  0.
      -11    1    3    3    0    0 -0.13618294991E+02  0.10954525180E+02 -0.38554382714E+03  0.38593976502E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13618294991E+02 -0.10954525180E+02 -0.17291584204E+02  0.24585737017E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.84536036081E+01  0.84536036081E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.19010610703E+03  0.19010610703E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.18165250342E+03  0.19855971064E+03  0.80176846341E+02 0.  0.
      -11    1    3    3    0    0  0.90339310944E+01  0.30658912896E+02 -0.30901545190E+02  0.44457691642E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.90339310944E+01 -0.30658912896E+02 -0.15075095823E+03  0.15410201900E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.31674780906E+02  0.31674780906E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.62079054758E+02  0.62079054758E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.30404273853E+02  0.93753835664E+02  0.88686875203E+02 0.  0.
      -11    1    3    3    0    0 -0.26470241828E+02  0.24410795687E+02 -0.42560853313E+02  0.55749321818E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.26470241828E+02 -0.24410795687E+02  0.12156579460E+02  0.38004513846E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.58746309587E+02  0.58746309587E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.28081050581E+02  0.28081050581E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.30665259006E+02  0.86827360168E+02  0.81231966392E+02 0.  0.
      -11    1    3    3    0    0  0.13113528323E+02  0.20388965865E+02  0.50165440477E+02  0.55715760538E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13113528323E+02 -0.20388965865E+02 -0.19500181471E+02  0.31111599630E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14871708035E+03  0.14871708035E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10728231363E+02  0.10728231363E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.13798884899E+03  0.15944531171E+03  0.79886700913E+02 0.  0.
      -11    1    3    3    0    0 -0.21211264646E+02  0.33412269621E+02  0.79774785280E+02  0.89052309771E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21211264646E+02 -0.33412269621E+02  0.58214063707E+02  0.70393001942E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.63898938268E+03  0.63898938268E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.26155625142E+01  0.26155625142E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.63637382017E+03  0.64160494519E+03  0.81763480266E+02 0.  0.
       11    1    3    3    0    0  0.34441573760E+02 -0.21907740099E+02  0.33598716486E+03  0.33845759857E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.34441573760E+02  0.21907740099E+02  0.30038665531E+03  0.30314734662E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.76871157447E+01  0.76871157447E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.20566097483E+03  0.20566097483E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.19797385909E+03  0.21334809058E+03  0.79522065308E+02 0.  0.
      -11    1    3    3    0    0 -0.55702184908E+00  0.39742783175E+02 -0.10185225187E+03  0.10933288755E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.55702184908E+00 -0.39742783175E+02 -0.96121607217E+02  0.10401520303E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19712349907E+02  0.19712349907E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.85884439324E+02  0.85884439324E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.66172089418E+02  0.10559678923E+03  0.82291776490E+02 0.  0.
      -11    1    3    3    0    0 -0.51889667323E+01 -0.35798416855E+01  0.19088982519E+02  0.20102982262E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.51889667323E+01  0.35798416855E+01 -0.85261071936E+02  0.85493806968E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12393670672E+03  0.12393670672E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.13464470889E+02  0.13464470889E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.11047223584E+03  0.13740117761E+03  0.81700481755E+02 0.  0.
       11    1    3    3    0    0  0.15497588642E+02  0.19473797835E+02  0.75781585693E+00  0.24899364263E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.15497588642E+02 -0.19473797835E+02  0.10971441998E+03  0.11250181335E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20916295793E+03  0.20916295793E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.77814031561E+01  0.77814031561E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.20138155478E+03  0.21694436109E+03  0.80686586271E+02 0.  0.
       11    1    3    3    0    0 -0.28235591863E+02  0.67462358097E+01  0.25366960303E+02  0.38551822531E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.28235591863E+02 -0.67462358097E+01  0.17601459447E+03  0.17839253856E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17908345301E+01  0.17908345301E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.87412512357E+03  0.87412512357E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.87233428904E+03  0.87591595810E+03  0.79130612406E+02 0.  0.
      -11    1    3    3    0    0 -0.13016171880E+02 -0.26255314447E+02 -0.14191444315E+03  0.14490849333E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13016171880E+02  0.26255314447E+02 -0.73041984589E+03  0.73100746476E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.73017648907E+01  0.73017648907E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.23069726096E+03  0.23069726096E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.22339549607E+03  0.23799902585E+03  0.82085252280E+02 0.  0.
       11    1    3    3    0    0  0.16794091843E+02  0.37322425461E+02 -0.12063066757E+03  0.12738431191E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.16794091843E+02 -0.37322425461E+02 -0.10276482851E+03  0.11061471394E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.65802117581E+03  0.65802117581E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25356188982E+01  0.25356188982E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.65548555692E+03  0.66055679471E+03  0.81694330986E+02 0.  0.
      -11    1    3    3    0    0 -0.32663622903E+02  0.24452272302E+02  0.34322231723E+03  0.34563909636E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32663622903E+02 -0.24452272302E+02  0.31226323968E+03  0.31491769836E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.18452487867E+02  0.18452487867E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.87647710552E+02  0.87647710552E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.69195222685E+02  0.10610019842E+03  0.80431792609E+02 0.  0.
      -11    1    3    3    0    0  0.39395223855E+02 -0.79651472755E+01 -0.36411637793E+02  0.54233150383E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39395223855E+02  0.79651472755E+01 -0.32783584892E+02  0.51867048037E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14181560338E+01  0.14181560338E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.11781758443E+04  0.11781758443E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.11767576882E+04  0.11795940003E+04  0.81751750623E+02 0.  0.
      -11    1    3    3    0    0  0.20636966230E+02  0.47354812919E+01 -0.83874505694E+02  0.86505733126E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20636966230E+02 -0.47354812919E+01 -0.10928831825E+04  0.10930882672E+04  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.85817588822E+03  0.85817588822E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.18772015739E+01  0.18772015739E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.85629868665E+03  0.86005308980E+03  0.80273759799E+02 0.  0.
      -11    1    3    3    0    0 -0.33509587522E+02  0.30042018904E+01  0.66264928133E+03  0.66350281668E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33509587522E+02 -0.30042018904E+01  0.19364940532E+03  0.19655027312E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.54554186403E+03  0.54554186403E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.29644512205E+01  0.29644512205E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.54257741281E+03  0.54850631525E+03  0.80429652359E+02 0.  0.
      -11    1    3    3    0    0  0.31720549449E+02  0.41465739216E+01  0.10509982656E+03  0.10986064298E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.31720549449E+02 -0.41465739216E+01  0.43747758625E+03  0.43864567227E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.21618153064E+03  0.21618153064E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.72434007017E+01  0.72434007017E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.20893812994E+03  0.22342493135E+03  0.79142642129E+02 0.  0.
      -11    1    3    3    0    0 -0.34458855073E+02 -0.42978613222E+01  0.15803336606E+03  0.16180367454E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.34458855073E+02  0.42978613222E+01  0.50904763878E+02  0.61621256806E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45453021933E+03  0.45453021933E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.34815151126E+01  0.34815151126E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.45104870422E+03  0.45801173444E+03  0.79560136443E+02 0.  0.
      -11    1    3    3    0    0 -0.18014768510E+02  0.19798818748E+02  0.39492776576E+03  0.39583388596E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18014768510E+02 -0.19798818748E+02  0.56120938463E+02  0.62177848485E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.29581201744E+03  0.29581201744E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.55040944575E+01  0.55040944575E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.29030792298E+03  0.30131611190E+03  0.80701357749E+02 0.  0.
       11    1    3    3    0    0  0.13577544222E+02 -0.35712311725E+02  0.96693470489E+02  0.10396800542E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.13577544222E+02  0.35712311725E+02  0.19361445249E+03  0.19734810648E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.25582475888E+01  0.25582475888E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.60847675421E+03  0.60847675421E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.60591850662E+03  0.61103500179E+03  0.78908407391E+02 0.  0.
       11    1    3    3    0    0 -0.48360965541E+00 -0.24839508869E+01 -0.60784766712E+03  0.60785293477E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.48360965541E+00  0.24839508869E+01  0.19291604999E+01  0.31820670234E+01  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.18235716814E+03  0.18235716814E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.90422859588E+01  0.90422859588E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.17331488218E+03  0.19139945410E+03  0.81213931341E+02 0.  0.
      -11    1    3    3    0    0 -0.30902356946E+02  0.17631296917E+02  0.40528826495E+02  0.53929621479E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30902356946E+02 -0.17631296917E+02  0.13278605569E+03  0.13746983262E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14694630516E+02  0.14694630516E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.11319217053E+03  0.11319217053E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.98497540012E+02  0.12788680105E+03  0.81567570106E+02 0.  0.
      -11    1    3    3    0    0  0.39936181656E+02  0.66102915273E+01 -0.41453072961E+02  0.57939207945E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39936181656E+02 -0.66102915273E+01 -0.57044467051E+02  0.69947593100E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.85898252161E+03  0.85898252161E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19628908456E+01  0.19628908456E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.85701963077E+03  0.86094541246E+03  0.82124026405E+02 0.  0.
       11    1    3    3    0    0 -0.30072997881E+02  0.13590312281E+01  0.72127053301E+03  0.72189847899E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.30072997881E+02 -0.13590312281E+01  0.13574909775E+03  0.13904693347E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10894940559E+03  0.10894940559E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14876928330E+02  0.14876928330E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.94072477264E+02  0.12382633392E+03  0.80519128129E+02 0.  0.
      -11    1    3    3    0    0  0.34735039515E+02  0.78754822061E+01  0.75900592081E+02  0.83841791896E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34735039515E+02 -0.78754822061E+01  0.18171885183E+02  0.39984542028E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10567189867E+01  0.10567189867E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14830889673E+04  0.14830889673E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14820322483E+04  0.14841456863E+04  0.79175962786E+02 0.  0.
      -11    1    3    3    0    0 -0.21426213661E+02 -0.10891517749E+02 -0.15137035652E+03  0.15326673685E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21426213661E+02  0.10891517749E+02 -0.13306618918E+04  0.13308789494E+04  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11992588167E+03  0.11992588167E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.11051927720E+02  0.11051927720E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.10887395395E+03  0.13097780939E+03  0.72812421357E+02 0.  0.
       11    1    3    3    0    0 -0.35480770176E+02 -0.79777578877E+01  0.51382920151E+02  0.62950251441E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.35480770176E+02  0.79777578877E+01  0.57491033797E+02  0.68027557948E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.29256158542E+01  0.29256158542E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.55560088659E+03  0.55560088659E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.55267527073E+03  0.55852650244E+03  0.80634354029E+02 0.  0.
      -11    1    3    3    0    0  0.27254265241E+02 -0.22080348517E+02 -0.13864900753E+03  0.14301707609E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27254265241E+02  0.22080348517E+02 -0.41402626321E+03  0.41550942635E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14495560340E+02  0.14495560340E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10979250916E+03  0.10979250916E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.95296948818E+02  0.12428806950E+03  0.79787315820E+02 0.  0.
      -11    1    3    3    0    0  0.39381388151E+02 -0.19054576120E+01 -0.38175731453E+02  0.54880879852E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39381388151E+02  0.19054576120E+01 -0.57121217365E+02  0.69407189647E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.46332855508E+03  0.46332855508E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.33713896683E+01  0.33713896683E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.45995716541E+03  0.46669994474E+03  0.79045837426E+02 0.  0.
       11    1    3    3    0    0  0.23395146295E+02 -0.23948969031E+02  0.35399073610E+03  0.35557042514E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.23395146295E+02  0.23948969031E+02  0.10596642931E+03  0.11112951961E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13217896942E+02  0.13217896942E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12376357275E+03  0.12376357275E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.11054567581E+03  0.13698146969E+03  0.80892376646E+02 0.  0.
      -11    1    3    3    0    0 -0.15226977728E+01 -0.35715600553E+02 -0.87311797336E+02  0.94346556298E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15226977728E+01  0.35715600553E+02 -0.23233878474E+02  0.42634913396E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.55394782037E+02  0.55394782037E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.28057433377E+02  0.28057433377E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.27337348660E+02  0.83452215414E+02  0.78847584781E+02 0.  0.
       11    1    3    3    0    0 -0.14604915018E+02  0.34527671870E+02  0.26578182461E+02  0.45955015509E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.14604915018E+02 -0.34527671870E+02  0.75916619850E+00  0.37497199906E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.27020014955E+01  0.27020014955E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.60980395477E+03  0.60980395477E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.60710195327E+03  0.61250595627E+03  0.81183525367E+02 0.  0.
       11    1    3    3    0    0  0.22029628711E+02  0.17772759993E+02 -0.52306380618E+03  0.52382909510E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22029628711E+02 -0.17772759993E+02 -0.84038147097E+02  0.88676861167E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24624592502E+03  0.24624592502E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.67933301473E+01  0.67933301473E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23945259487E+03  0.25303925517E+03  0.81800485722E+02 0.  0.
       11    1    3    3    0    0 -0.39121291192E+01  0.20244224104E+02  0.22899266279E+03  0.22991905744E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.39121291192E+01 -0.20244224104E+02  0.10459932089E+02  0.23120197731E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.90748464835E+01  0.90748464835E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15159387194E+03  0.15159387194E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14251902546E+03  0.16066871843E+03  0.74180620535E+02 0.  0.
      -11    1    3    3    0    0 -0.43128281314E+01 -0.25486750754E+02 -0.12887099525E+03  0.13143784983E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.43128281314E+01  0.25486750754E+02 -0.13648030210E+02  0.29230868600E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.89190885601E+03  0.89190885601E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.20606286153E+01  0.20606286153E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.88984822739E+03  0.89396948462E+03  0.85741306520E+02 0.  0.
       11    1    3    3    0    0  0.35764111018E+02 -0.17170647449E+01  0.69074590154E+03  0.69167327579E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.35764111018E+02  0.17170647449E+01  0.19910232586E+03  0.20229620884E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.60263857973E+01  0.60263857973E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.31153013790E+03  0.31153013790E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.30550375211E+03  0.31755652370E+03  0.86657966708E+02 0.  0.
       11    1    3    3    0    0  0.56335912386E+01 -0.44235562480E+01 -0.30934558087E+03  0.30942849514E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.56335912386E+01  0.44235562480E+01  0.38418287609E+01  0.81280285648E+01  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.13012792471E+01  0.13012792471E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.12585061769E+04  0.12585061769E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.12572048976E+04  0.12598074561E+04  0.80936221069E+02 0.  0.
      -11    1    3    3    0    0 -0.45572920396E+01 -0.26008493797E+02 -0.15125918926E+03  0.15354658249E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.45572920396E+01  0.26008493797E+02 -0.11059457083E+04  0.11062608736E+04  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.21417589506E+02  0.21417589506E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.75375282337E+02  0.75375282337E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.53957692831E+02  0.96792871843E+02  0.80358119839E+02 0.  0.
       11    1    3    3    0    0 -0.96574154212E+01 -0.35676893036E+01 -0.73759524415E+02  0.74474569630E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.96574154212E+01  0.35676893036E+01  0.19801831585E+02  0.22318302213E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.24004968075E+02  0.24004968075E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.52420852100E+02  0.52420852100E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.28415884024E+02  0.76425820175E+02  0.70946765427E+02 0.  0.
       11    1    3    3    0    0 -0.13962688384E+01 -0.28302160947E+01 -0.52269327682E+02  0.52364513806E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.13962688384E+01  0.28302160947E+01  0.23853443658E+02  0.24061306369E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45112005140E+02  0.45112005140E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.35739746510E+02  0.35739746510E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.93722586302E+01  0.80851751650E+02  0.80306702790E+02 0.  0.
       11    1    3    3    0    0 -0.21180509452E+02 -0.32824120007E+02 -0.46642506139E+01  0.39341988621E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.21180509452E+02  0.32824120007E+02  0.14036509244E+02  0.41509763028E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.28950438882E+01  0.28950438882E+01  0.00000000000E+00 0.  1.
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.54386735904E+03  0.54386735904E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.54097231515E+03  0.54676240292E+03  0.79360440365E+02 0.  0.
       11    1    3    3    0    0  0.20376048632E+02 -0.31527976899E+02 -0.35907141689E+03  0.36102836331E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.20376048632E+02  0.31527976899E+02 -0.18190089825E+03  0.18573403961E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17476403557E+01  0.17476403557E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.92743295853E+03  0.92743295853E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.92568531817E+03  0.92918059888E+03  0.80518799434E+02 0.  0.
      -11    1    3    3    0    0 -0.81403417116E+01 -0.20820561674E+02 -0.76460607286E+02  0.79661693543E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.81403417116E+01  0.20820561674E+02 -0.84922471089E+03  0.84951890534E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.41884091393E+01  0.41884091393E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.38398571273E+03  0.38398571273E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.37979730359E+03  0.38817412187E+03  0.80206964001E+02 0.  0.
      -11    1    3    3    0    0 -0.25666797984E+02  0.67760954837E+00 -0.33899192192E+03  0.33996289033E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25666797984E+02 -0.67760954837E+00 -0.40805381676E+02  0.48211231546E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.59959238775E+02  0.59959238775E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25626435983E+02  0.25626435983E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.34332802792E+02  0.85585674758E+02  0.78397489604E+02 0.  0.
      -11    1    3    3    0    0  0.10561280647E+02  0.41629438469E+01 -0.23792611388E+02  0.26362077062E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10561280647E+02 -0.41629438469E+01  0.58125414180E+02  0.59223597695E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23535741564E+02  0.23535741564E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.69047479615E+02  0.69047479615E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.45511738052E+02  0.92583221179E+02  0.80624652206E+02 0.  0.
       11    1    3    3    0    0 -0.39493602313E+01 -0.27645803501E+02 -0.56140231097E+02  0.62702579254E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.39493602313E+01  0.27645803501E+02  0.10628493045E+02  0.29880641925E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.46380007006E+01  0.46380007006E+01  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.44129030796E+03  0.44129030796E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.43665230725E+03  0.44592830866E+03  0.90481042379E+02 0.  0.
      -11    1    3    3    0    0  0.80239812147E+00  0.19894573292E+02 -0.41853558789E+03  0.41900892141E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.80239812147E+00 -0.19894573292E+02 -0.18116719362E+02  0.26919387246E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.14075839211E+02  0.14075839211E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11552445616E+03  0.11552445616E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.10144861695E+03  0.12960029537E+03  0.80649951515E+02 0.  0.
       11    1    3    3    0    0 -0.18602313100E+02 -0.28874987311E+02 -0.16776496787E+02  0.38226454051E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.18602313100E+02  0.28874987311E+02 -0.84672120159E+02  0.91373841317E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.70199871281E+03  0.70199871281E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25613546798E+01  0.25613546798E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.69943735813E+03  0.70456006749E+03  0.84807256488E+02 0.  0.
       11    1    3    3    0    0 -0.83999562813E+01  0.27415493815E+02  0.60924862392E+03  0.60992299048E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.83999562813E+01 -0.27415493815E+02  0.90188734207E+02  0.94637077008E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13058889363E+03  0.13058889363E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12429377765E+02  0.12429377765E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.11815951586E+03  0.14301827139E+03  0.80576390855E+02 0.  0.
       11    1    3    3    0    0 -0.27576130424E+02 -0.27921004600E+02  0.75261257937E+02  0.84878044353E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27576130424E+02  0.27921004600E+02  0.42898257923E+02  0.58140227037E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.26197818162E+03  0.26197818162E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.62399416855E+01  0.62399416855E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.25573823993E+03  0.26821812330E+03  0.80863553624E+02 0.  0.
       11    1    3    3    0    0  0.45507929316E+01 -0.36299167848E+02  0.18497312089E+03  0.18855607854E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.45507929316E+01  0.36299167848E+02  0.70765119047E+02  0.79662044768E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.98903618666E+02  0.98903618666E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14827883849E+02  0.14827883849E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.84075734818E+02  0.11373150252E+03  0.76590635715E+02 0.  0.
      -11    1    3    3    0    0  0.63008776638E+01 -0.10192099632E+02 -0.11972489862E+02  0.16938726863E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.63008776638E+01  0.10192099632E+02  0.96048224680E+02  0.96792775652E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.73507820891E+01  0.73507820891E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21863025234E+03  0.21863025234E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.21127947025E+03  0.22598103443E+03  0.80177386912E+02 0.  0.
       11    1    3    3    0    0  0.34685197648E+02  0.76704247408E+01 -0.15800684762E+03  0.16195080193E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.34685197648E+02 -0.76704247408E+01 -0.53272622626E+02  0.64030232493E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.16758087492E+03  0.16758087492E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.95091713848E+01  0.95091713848E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.15807170354E+03  0.17709004631E+03  0.79838718939E+02 0.  0.
      -11    1    3    3    0    0 -0.38810788073E+01  0.14664985131E+02 -0.28666420883E+01  0.15438335353E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38810788073E+01 -0.14664985131E+02  0.16093834563E+03  0.16165171095E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15798314850E+02  0.15798314850E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10212048121E+03  0.10212048121E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.86322166357E+02  0.11791879606E+03  0.80332596490E+02 0.  0.
       11    1    3    3    0    0 -0.24015922213E+02 -0.19126636259E+02 -0.81177216366E+02  0.86789015383E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.24015922213E+02  0.19126636259E+02 -0.51449499916E+01  0.31129780673E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.16602163837E+02  0.16602163837E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.88082790941E+02  0.88082790941E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.71480627104E+02  0.10468495478E+03  0.76481760608E+02 0.  0.
       11    1    3    3    0    0  0.24457743392E+02  0.15135712714E+02 -0.12461698054E+01  0.28789302707E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.24457743392E+02 -0.15135712714E+02 -0.70234457299E+02  0.75895652071E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.27866939691E+02  0.27866939691E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.56740009998E+02  0.56740009998E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.28873070307E+02  0.84606949689E+02  0.79527867736E+02 0.  0.
      -11    1    3    3    0    0  0.33470959832E+02  0.21270107440E+02 -0.11344397118E+02  0.41248248067E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33470959832E+02 -0.21270107440E+02 -0.17528673189E+02  0.43358701622E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.58355527306E+01  0.58355527306E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.30064391691E+03  0.30064391691E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.29480836418E+03  0.30647946964E+03  0.83771676126E+02 0.  0.
      -11    1    3    3    0    0  0.15184718439E+02 -0.35925960772E+02 -0.91538718807E+02  0.99501695324E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15184718439E+02  0.35925960772E+02 -0.20326964537E+03  0.20697777432E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.54855272313E+02  0.54855272313E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27440398266E+02  0.27440398266E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.27414874048E+02  0.82295670579E+02  0.77595116322E+02 0.  0.
       11    1    3    3    0    0 -0.16432591181E+02 -0.31759650716E+02  0.29670634682E+02  0.46465600490E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.16432591181E+02  0.31759650716E+02 -0.22557606341E+01  0.35830070089E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.73217144501E+03  0.73217144501E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21529999579E+01  0.21529999579E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.73001844506E+03  0.73432444497E+03  0.79406928925E+02 0.  0.
       11    1    3    3    0    0 -0.18380999183E+02  0.36387799561E+01  0.68871040643E+03  0.68896525731E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.18380999183E+02 -0.36387799561E+01  0.41308038624E+02  0.45359187664E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.77252557733E+00  0.77252557733E+00  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.20602932891E+04  0.20602932891E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.20595207635E+04  0.20610658147E+04  0.79790457139E+02 0.  0.
      -11    1    3    3    0    0 -0.21455241367E+02  0.32636478883E+02 -0.12398698555E+04  0.12404848752E+04  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21455241367E+02 -0.32636478883E+02 -0.81965090804E+03  0.82058093945E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.39239545829E+03  0.39239545829E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.41467906720E+01  0.41467906720E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.38824866762E+03  0.39654224896E+03  0.80676683773E+02 0.  0.
       11    1    3    3    0    0  0.78016521196E+00  0.39491161572E+02  0.23436340387E+03  0.23766860452E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.78016521196E+00 -0.39491161572E+02  0.15388526375E+03  0.15887364444E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.57648009589E+02  0.57648009589E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27883728651E+02  0.27883728651E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.29764280938E+02  0.85531738241E+02  0.80185820609E+02 0.  0.
      -11    1    3    3    0    0  0.38527241112E+02 -0.61308729680E+01  0.50187355706E+01  0.39333492316E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.38527241112E+02  0.61308729680E+01  0.24745545367E+02  0.46198245925E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.58683680429E+03  0.58683680429E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25388844220E+01  0.25388844220E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.58429791987E+03  0.58937568871E+03  0.77198725914E+02 0.  0.
      -11    1    3    3    0    0 -0.34583031457E+01  0.23109358245E+02  0.57592694522E+02  0.62152399482E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.34583031457E+01 -0.23109358245E+02  0.52670522534E+03  0.52722328923E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.16678413382E+03  0.16678413382E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.91600061360E+01  0.91600061360E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.15762412769E+03  0.17594413996E+03  0.78172723867E+02 0.  0.
       11    1    3    3    0    0  0.19552241326E+02  0.30445492029E+02  0.45540693678E+02  0.58165048839E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.19552241326E+02 -0.30445492029E+02  0.11208343401E+03  0.11777909112E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45949608445E+01  0.45949608445E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.37034983950E+03  0.37034983950E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.36575487866E+03  0.37494480035E+03  0.82504375915E+02 0.  0.
      -11    1    3    3    0    0 -0.26210084331E+02  0.27653835058E+01 -0.38655111013E+02  0.46784970600E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.26210084331E+02 -0.27653835058E+01 -0.32709976765E+03  0.32815982975E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19289462313E+02  0.19289462313E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.83275001909E+02  0.83275001909E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.63985539596E+02  0.10256446422E+03  0.80158094063E+02 0.  0.
       11    1    3    3    0    0  0.25321502292E+02 -0.17722410529E+02 -0.64641222798E+02  0.71650191892E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.25321502292E+02  0.17722410529E+02  0.65568320214E+00  0.30914272331E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17969222519E+03  0.17969222519E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.88928876371E+01  0.88928876371E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.17079933755E+03  0.18858511283E+03  0.79949553292E+02 0.  0.
      -11    1    3    3    0    0  0.30901336513E+02 -0.31822837929E+01  0.14474418701E+03  0.14804019455E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.30901336513E+02  0.31822837929E+01  0.26055150541E+02  0.40544918278E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17148413615E+03  0.17148413615E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.91735072200E+01  0.91735072200E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.16231062893E+03  0.18065764337E+03  0.79324925744E+02 0.  0.
      -11    1    3    3    0    0  0.27806551323E+02  0.20599745263E+02  0.12529047284E+03  0.12998175405E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27806551323E+02 -0.20599745263E+02  0.37020156086E+02  0.50675889317E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.88610437851E+03  0.88610437851E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19483174870E+01  0.19483174870E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.88415606102E+03  0.88805269600E+03  0.83100244427E+02 0.  0.
      -11    1    3    3    0    0 -0.41103284646E+02 -0.38206643923E+01  0.39157341432E+03  0.39374333809E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.41103284646E+02  0.38206643923E+01  0.49258264670E+03  0.49430935791E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.73907946734E+03  0.73907946734E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21000087694E+01  0.21000087694E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.73697945857E+03  0.74117947611E+03  0.78792724606E+02 0.  0.
       11    1    3    3    0    0  0.17984775664E+02  0.29182745692E+02  0.55113202302E+03  0.55219705867E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.17984775664E+02 -0.29182745692E+02  0.18584743555E+03  0.18898241744E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.33836927799E+01  0.33836927799E+01  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.48075512181E+03  0.48075512181E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.47737142903E+03  0.48413881459E+03  0.80665423436E+02 0.  0.
       11    1    3    3    0    0  0.37113879189E+02 -0.13192759145E+02 -0.18662583467E+03  0.19073723048E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.37113879189E+02  0.13192759145E+02 -0.29074559436E+03  0.29340158411E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17630543370E+02  0.17630543370E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.95043939435E+02  0.95043939435E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.77413396065E+02  0.11267448281E+03  0.81870050599E+02 0.  0.
       11    1    3    3    0    0 -0.16274191131E+02 -0.14390146278E+02 -0.86456193699E+02  0.89143698800E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.16274191131E+02  0.14390146278E+02  0.90427976331E+01  0.23530784005E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.30679628092E+01  0.30679628092E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.54689145939E+03  0.54689145939E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.54382349658E+03  0.54995942220E+03  0.81922955467E+02 0.  0.
      -11    1    3    3    0    0  0.27687334470E+02  0.27058286757E+02 -0.36175321062E+03  0.36381880760E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27687334470E+02 -0.27058286757E+02 -0.18207028596E+03  0.18614061460E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17812736915E+01  0.17812736915E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.93547058360E+03  0.93547058360E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.93368930991E+03  0.93725185729E+03  0.81641389986E+02 0.  0.
      -11    1    3    3    0    0  0.20363817546E+02 -0.15634922104E+02 -0.10250844984E+03  0.10567458608E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20363817546E+02  0.15634922104E+02 -0.83118086006E+03  0.83157727121E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.18785091303E+03  0.18785091303E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.88447525234E+01  0.88447525234E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.17900616051E+03  0.19669566555E+03  0.81522876226E+02 0.  0.
      -11    1    3    3    0    0 -0.34279682073E+02 -0.21608991139E+02  0.10014382808E+03  0.10803162224E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.34279682073E+02  0.21608991139E+02  0.78862332428E+02  0.88664043315E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.70494876643E+02  0.70494876643E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.17639028407E+02  0.17639028407E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.52855848236E+02  0.88133905050E+02  0.70525488489E+02 0.  0.
       11    1    3    3    0    0  0.90186992712E+01  0.22401433590E+02  0.58539938420E+02  0.63325236310E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.90186992712E+01 -0.22401433590E+02 -0.56840901847E+01  0.24808668740E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.45644133112E+01  0.45644133112E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.35634597587E+03  0.35634597587E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.35178156256E+03  0.36091038918E+03  0.80660035102E+02 0.  0.
      -11    1    3    3    0    0  0.44087719774E+01  0.74908833022E+01 -0.35210511642E+03  0.35221238424E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.44087719774E+01 -0.74908833022E+01  0.32355385333E+00  0.86980049490E+01  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.62694944593E+01  0.62694944593E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.26041605751E+03  0.26041605751E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.25414656305E+03  0.26668555197E+03  0.80812796750E+02 0.  0.
      -11    1    3    3    0    0 -0.38616997897E+02 -0.33020639690E+01 -0.89374608336E+02  0.97416614437E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38616997897E+02  0.33020639690E+01 -0.16477195471E+03  0.16926893753E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.40660245669E+03  0.40660245669E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.39537413202E+01  0.39537413202E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.40264871537E+03  0.41055619801E+03  0.80189798202E+02 0.  0.
       11    1    3    3    0    0 -0.23980204637E+01 -0.16063910114E+02  0.38900566004E+03  0.38934458164E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.23980204637E+01  0.16063910114E+02  0.13643055334E+02  0.21211616373E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13719417198E+03  0.13719417198E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13174604306E+02  0.13174604306E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.12401956768E+03  0.15036877629E+03  0.85028911057E+02 0.  0.
       11    1    3    3    0    0 -0.41386523599E+02 -0.90044256832E+01  0.68520659319E+02  0.80554359106E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.41386523599E+02  0.90044256832E+01  0.55498908358E+02  0.69814417181E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.15326117777E+02  0.15326117777E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10281950535E+03  0.10281950535E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.87493387576E+02  0.11814562313E+03  0.79393295658E+02 0.  0.
      -11    1    3    3    0    0  0.16664066848E+02 -0.29856349812E+02 -0.73758179679E+02  0.81297981632E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16664066848E+02  0.29856349812E+02 -0.13735207897E+02  0.36847641498E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24807670313E+03  0.24807670313E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.68271591739E+01  0.68271591739E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.24124954395E+03  0.25490386230E+03  0.82308180385E+02 0.  0.
      -11    1    3    3    0    0 -0.40411838251E+02 -0.65480815737E+00  0.14463631818E+03  0.15017726187E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40411838251E+02  0.65480815737E+00  0.96613225769E+02  0.10472660043E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.26037370307E+02  0.26037370307E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.65835753570E+02  0.65835753570E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.39798383263E+02  0.91873123877E+02  0.82805552837E+02 0.  0.
      -11    1    3    3    0    0 -0.10246172879E+01  0.17494941729E+00  0.26022891198E+02  0.26043642491E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10246172879E+01 -0.17494941729E+00 -0.65821274461E+02  0.65829481386E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24909718614E+01  0.24909718614E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.66384041331E+03  0.66384041331E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.66134944145E+03  0.66633138517E+03  0.81329153198E+02 0.  0.
      -11    1    3    3    0    0  0.12418036530E+02  0.29005204389E+01 -0.64703428448E+03  0.64715993846E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.12418036530E+02 -0.29005204389E+01 -0.14315156966E+02  0.19171446712E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.43104494535E+01  0.43104494535E+01  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.37193463980E+03  0.37193463980E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.36762419035E+03  0.37624508925E+03  0.80080096525E+02 0.  0.
       11    1    3    3    0    0 -0.15089220427E+02  0.21266337054E+02 -0.41051234953E+02  0.48632762167E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.15089220427E+02 -0.21266337054E+02 -0.32657295539E+03  0.32761232709E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.25633816703E+02  0.25633816703E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.64612310735E+02  0.64612310735E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.38978494032E+02  0.90246127438E+02  0.81394351896E+02 0.  0.
      -11    1    3    3    0    0 -0.22173822716E+02  0.18342234839E+02  0.12417848422E+02  0.31341967905E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22173822716E+02 -0.18342234839E+02 -0.51396342454E+02  0.58904159533E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.17050209392E+02  0.17050209392E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.94694947136E+02  0.94694947136E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.77644737744E+02  0.11174515653E+03  0.80363391591E+02 0.  0.
       11    1    3    3    0    0  0.21530813364E+02  0.59733452387E+01  0.76151084511E+01  0.23606072401E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.21530813364E+02 -0.59733452387E+01 -0.85259846196E+02  0.88139084127E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10522550823E+02  0.10522550823E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.15265856476E+03  0.15265856476E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14213601394E+03  0.16318111558E+03  0.80158780085E+02 0.  0.
       11    1    3    3    0    0 -0.26407154525E+01  0.29265567628E+02 -0.12655447737E+03  0.12992106284E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26407154525E+01 -0.29265567628E+02 -0.15581536566E+02  0.33260052743E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.41238545728E+02  0.41238545728E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.38774128047E+02  0.38774128047E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.24644176802E+01  0.80012673775E+02  0.79974712317E+02 0.  0.
       11    1    3    3    0    0 -0.26678783570E+02 -0.11161929898E+02 -0.26396881932E+02  0.39155351455E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26678783570E+02  0.11161929898E+02  0.28861299612E+02  0.40857322320E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.50019007965E+01  0.50019007965E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.30791022704E+03  0.30791022704E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.30290832624E+03  0.31291212783E+03  0.78489143450E+02 0.  0.
       11    1    3    3    0    0  0.60483148943E+01  0.18581182173E+02 -0.28713615266E+03  0.28780029987E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.60483148943E+01 -0.18581182173E+02 -0.15772173583E+02  0.25111827961E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14536627854E+01  0.14536627854E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10897131060E+04  0.10897131060E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.10882594432E+04  0.10911667688E+04  0.79600889166E+02 0.  0.
      -11    1    3    3    0    0  0.64756440835E+01  0.11138991778E+02 -0.27925951900E+02  0.30754997864E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.64756440835E+01 -0.11138991778E+02 -0.10603334913E+04  0.10604117709E+04  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.82270660907E+02  0.82270660907E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.20160258992E+02  0.20160258992E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.62110401915E+02  0.10243091990E+03  0.81451773003E+02 0.  0.
       11    1    3    3    0    0  0.73480652587E+01 -0.39464370384E+02  0.22418442857E+02  0.45978442481E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.73480652587E+01  0.39464370384E+02  0.39691959057E+02  0.56452477418E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17424653519E+02  0.17424653519E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.95490032287E+02  0.95490032287E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.78065378768E+02  0.11291468581E+03  0.81581388249E+02 0.  0.
       11    1    3    3    0    0  0.32241417154E+02 -0.16067393949E+02 -0.65519202836E+02  0.74769218725E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.32241417154E+02  0.16067393949E+02 -0.12546175932E+02  0.38145467082E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.18056804541E+02  0.18056804541E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.89703772052E+02  0.89703772052E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.71646967512E+02  0.10776057659E+03  0.80492570552E+02 0.  0.
      -11    1    3    3    0    0  0.16820536559E+02 -0.32449117418E+02 -0.13266684236E+02  0.38882908610E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16820536559E+02  0.32449117418E+02 -0.58380283276E+02  0.68877667983E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.11972890975E+04  0.11972890975E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13612427566E+01  0.13612427566E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.11959278548E+04  0.11986503403E+04  0.80741590562E+02 0.  0.
      -11    1    3    3    0    0 -0.37852551770E+01  0.15846101622E+02  0.49608769577E+02  0.52215487285E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.37852551770E+01 -0.15846101622E+02  0.11463190852E+04  0.11464348530E+04  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.41384063220E+03  0.41384063220E+03  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.38291306715E+01  0.38291306715E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.41001150153E+03  0.41766976287E+03  0.79615321587E+02 0.  0.
       11    1    3    3    0    0 -0.26899278591E+02 -0.24431432345E+02  0.11973708662E+03  0.12512967669E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.26899278591E+02  0.24431432345E+02  0.29027441491E+03  0.29254008619E+03  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.35090008976E+01  0.35090008976E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.43950014594E+03  0.43950014594E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.43599114505E+03  0.44300914684E+03  0.78541871804E+02 0.  0.
      -11    1    3    3    0    0  0.35092053420E+02 -0.17450636443E+02 -0.20391768846E+03  0.20764970646E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.35092053420E+02  0.17450636443E+02 -0.23207345658E+03  0.23535944038E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.88435180673E+03  0.88435180673E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.18056214673E+01  0.18056214673E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.88254618526E+03  0.88615742819E+03  0.79920075247E+02 0.  0.
      -11    1    3    3    0    0  0.20805245990E+02  0.34058977735E+02  0.46326094619E+03  0.46497696340E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20805245990E+02 -0.34058977735E+02  0.41928523907E+03  0.42118046479E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.43685500815E+03  0.43685500815E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.36898539934E+01  0.36898539934E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.43316515416E+03  0.44054486214E+03  0.80297725905E+02 0.  0.
       11    1    3    3    0    0 -0.16745387393E+02 -0.69593997874E+01  0.41310650996E+03  0.41350432866E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.16745387393E+02  0.69593997874E+01  0.20058644193E+02  0.27040533486E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.25612820455E+03  0.25612820455E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.63467169879E+01  0.63467169879E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.24978148756E+03  0.26247492154E+03  0.80636796238E+02 0.  0.
      -11    1    3    3    0    0 -0.30713818192E+02 -0.23203225014E+02  0.85851458637E+02  0.94086137284E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30713818192E+02  0.23203225014E+02  0.16393002892E+03  0.16838878425E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.74268790789E+03  0.74268790789E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21041394655E+01  0.21041394655E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.74058376842E+03  0.74479204736E+03  0.79062480040E+02 0.  0.
      -11    1    3    3    0    0 -0.33755625875E+02  0.13163777786E+00  0.17648559422E+03  0.17968479227E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33755625875E+02 -0.13163777786E+00  0.56409817421E+03  0.56510725509E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.59054349938E+01  0.59054349938E+01  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.26036153491E+03  0.26036153491E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.25445609991E+03  0.26626696990E+03  0.78423162886E+02 0.  0.
       11    1    3    3    0    0 -0.61804371000E+01 -0.29846849140E+02 -0.43473403051E+02  0.53093963679E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.61804371000E+01  0.29846849140E+02 -0.21098269686E+03  0.21317300622E+03  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.40275417597E+02  0.40275417597E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.40668130308E+02  0.40668130308E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.39271271177E+00  0.80943547905E+02  0.80942595240E+02 0.  0.
       11    1    3    3    0    0  0.18255516598E+01 -0.36307080720E+02 -0.17983897765E+02  0.40558073526E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.18255516598E+01  0.36307080720E+02  0.17591185053E+02  0.40385474380E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.24111521886E+03  0.24111521886E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.67325627345E+01  0.67325627345E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23438265613E+03  0.24784778159E+03  0.80580973864E+02 0.  0.
      -11    1    3    3    0    0 -0.31016156166E+02 -0.22938325080E+02  0.15294889816E+03  0.15773881624E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.31016156166E+02  0.22938325080E+02  0.81433757970E+02  0.90108965358E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15495896027E+02  0.15495896027E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10355816289E+03  0.10355816289E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.88062266861E+02  0.11905405892E+03  0.80118075985E+02 0.  0.
      -11    1    3    3    0    0 -0.26353856968E+02 -0.12591115500E+02 -0.32906918646E+01  0.29392016255E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.26353856968E+02  0.12591115500E+02 -0.84771574996E+02  0.89662042660E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12425873112E+03  0.12425873112E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.15187654013E+02  0.15187654013E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.10907107710E+03  0.13944638513E+03  0.86883798634E+02 0.  0.
      -11    1    3    3    0    0 -0.12877240566E+02  0.21748451833E+02  0.11124321917E+03  0.11407836032E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12877240566E+02 -0.21748451833E+02 -0.21721420645E+01  0.25368024812E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.78555036832E+02  0.78555036832E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.20911174021E+02  0.20911174021E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.57643862811E+02  0.99466210853E+02  0.81059929569E+02 0.  0.
      -11    1    3    3    0    0 -0.10160584459E+02 -0.13037401890E+02  0.74231261329E+02  0.76049270102E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10160584459E+02  0.13037401890E+02 -0.16587398517E+02  0.23416940752E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.21395597054E+01  0.21395597054E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.75689305726E+03  0.75689305726E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.75475349755E+03  0.75903261696E+03  0.80483983166E+02 0.  0.
      -11    1    3    3    0    0  0.69485551299E+01  0.39362791734E+02 -0.33343859266E+03  0.33582585795E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.69485551299E+01 -0.39362791734E+02 -0.42131490489E+03  0.42320675902E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.39183819938E+02  0.39183819938E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.41513755045E+02  0.41513755045E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.23299351076E+01  0.80697574983E+02  0.80663932526E+02 0.  0.
      -11    1    3    3    0    0  0.31605435805E+02  0.35682465265E+01 -0.25975140379E+02  0.41065117477E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.31605435805E+02 -0.35682465265E+01  0.23645205271E+02  0.39632457507E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.34253115153E+01  0.34253115153E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.41490344146E+03  0.41490344146E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.41147812995E+03  0.41832875298E+03  0.75396910700E+02 0.  0.
      -11    1    3    3    0    0  0.33811052962E+02  0.52486380350E+01 -0.11793506403E+03  0.12279826884E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33811052962E+02 -0.52486380350E+01 -0.29354306592E+03  0.29553048413E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.22009260786E+02  0.22009260786E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.73673229976E+02  0.73673229976E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.51663969190E+02  0.95682490762E+02  0.80535540763E+02 0.  0.
       11    1    3    3    0    0  0.87683808864E+01  0.75810251071E+01 -0.71648321741E+02  0.72579876366E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.87683808864E+01 -0.75810251071E+01  0.19984352551E+02  0.23102614396E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.15359997406E+04  0.15359997406E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11818413548E+01  0.11818413548E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.15348178992E+04  0.15371815820E+04  0.85212863219E+02 0.  0.
      -11    1    3    3    0    0 -0.24181292554E+02 -0.11943012424E+02  0.17240205355E+03  0.17449882098E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24181292554E+02  0.11943012424E+02  0.13624158457E+04  0.13626827610E+04  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.30565939238E+01  0.30565939238E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.52906505658E+03  0.52906505658E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.52600846265E+03  0.53212165050E+03  0.80427284854E+02 0.  0.
      -11    1    3    3    0    0  0.22105381246E+02  0.28801193516E+02 -0.14860347704E+03  0.15297434431E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22105381246E+02 -0.28801193516E+02 -0.37740498561E+03  0.37914730619E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47236139884E+03  0.47236139884E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.34297224760E+01  0.34297224760E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.46893167636E+03  0.47579112131E+03  0.80500149227E+02 0.  0.
      -11    1    3    3    0    0 -0.80193225009E+01  0.38775986504E+02  0.27716106821E+03  0.27997525675E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.80193225009E+01 -0.38775986504E+02  0.19177060815E+03  0.19581586456E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.98187098223E+03  0.98187098223E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.16120115311E+01  0.16120115311E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.98025897070E+03  0.98348299376E+03  0.79568520041E+02 0.  0.
      -11    1    3    3    0    0  0.20881330574E+02  0.22537053112E+02  0.17772219917E+03  0.18035833446E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20881330574E+02 -0.22537053112E+02  0.80253677153E+03  0.80312465931E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.13923368364E+01  0.13923368364E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.11623960701E+04  0.11623960701E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.11610037332E+04  0.11637884069E+04  0.80459850033E+02 0.  0.
      -11    1    3    3    0    0 -0.11164038017E+02 -0.19620772105E+02 -0.98855210308E+02  0.10140001503E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11164038017E+02  0.19620772105E+02 -0.10621485229E+04  0.10623883919E+04  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.39590244481E+03  0.39590244481E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.33736579499E+01  0.33736579499E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.39252878686E+03  0.39927610276E+03  0.73092802117E+02 0.  0.
      -11    1    3    3    0    0  0.15738512606E+02  0.32983620262E+02  0.19702613970E+03  0.20038692500E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15738512606E+02 -0.32983620262E+02  0.19550264716E+03  0.19888917776E+03  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17602739459E+02  0.17602739459E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.92488464035E+02  0.92488464035E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.74885724577E+02  0.11009120349E+03  0.80698211513E+02 0.  0.
       11    1    3    3    0    0 -0.17628619615E+02 -0.16787439411E+01 -0.86903879680E+02  0.88689744132E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.17628619615E+02  0.16787439411E+01  0.12018155104E+02  0.21401459362E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.35648923333E+01  0.35648923333E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.41121823718E+03  0.41121823718E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.40765334485E+03  0.41478312952E+03  0.76575420105E+02 0.  0.
       11    1    3    3    0    0 -0.17430862518E+02 -0.14018712522E+02 -0.37214366274E+03  0.37281532290E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.17430862518E+02  0.14018712522E+02 -0.35509682106E+02  0.41967806616E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.34756286523E+03  0.34756286523E+03  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.45629960080E+01  0.45629960080E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.34299986922E+03  0.35212586124E+03  0.79647422220E+02 0.  0.
      -11    1    3    3    0    0 -0.15976775405E+02 -0.35666634620E+02  0.13766749106E+03  0.14310731732E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15976775405E+02  0.35666634620E+02  0.20533237816E+03  0.20901854391E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.66015885893E+02  0.66015885893E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.24598930927E+02  0.24598930927E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.41416954966E+02  0.90614816821E+02  0.80595786917E+02 0.  0.
      -11    1    3    3    0    0 -0.73730933369E+01 -0.23366410533E+02  0.56678884160E+02  0.61748259540E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.73730933369E+01  0.23366410533E+02 -0.15261929193E+02  0.28866557281E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.16446183141E+03  0.16446183141E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.92784610446E+01  0.92784610446E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.15518337036E+03  0.17374029245E+03  0.78126888996E+02 0.  0.
       11    1    3    3    0    0 -0.33426492472E+02 -0.20134043763E+02  0.73587212912E+02  0.83293385220E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.33426492472E+02  0.20134043763E+02  0.81596157451E+02  0.90446907233E+02  0.00000000000E+00 0.  1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.82796144466E+02  0.82796144466E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.20991858480E+02  0.20991858480E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.61804285986E+02  0.10378800295E+03  0.83379732485E+02 0.  0.
       11    1    3    3    0    0 -0.18671527633E+02 -0.28465863399E+02  0.94719642999E+00  0.34056254995E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.18671527633E+02  0.28465863399E+02  0.60857089556E+02  0.69731747952E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.14507825950E+02  0.14507825950E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10989263741E+03  0.10989263741E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.95384811464E+02  0.12440046336E+03  0.79857454423E+02 0.  0.
      -11    1    3    3    0    0 -0.15279227815E+02 -0.32815073425E+02 -0.21439308541E+02  0.42070509828E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15279227815E+02  0.32815073425E+02 -0.73945502923E+02  0.82329953535E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23815101595E+02  0.23815101595E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.72225949519E+02  0.72225949519E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.48410847924E+02  0.96041051115E+02  0.82947412874E+02 0.  0.
       11    1    3    3    0    0 -0.94552434349E+01 -0.29618084122E+02  0.75762803513E+01  0.32000508737E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.94552434349E+01  0.29618084122E+02 -0.55987128276E+02  0.64040542378E+02  0.00000000000E+00 0.  1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.34774279113E+03  0.34774279113E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47085848384E+01  0.47085848384E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.34303420629E+03  0.35245137597E+03  0.80929016650E+02 0.  0.
      -11    1    3    3    0    0 -0.36423706288E+02 -0.10600316872E+01  0.94891863416E+02  0.10164780268E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36423706288E+02  0.10600316872E+01  0.24814234287E+03  0.25080357329E+03  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.28655595845E+02  0.28655595845E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.57801864173E+02  0.57801864173E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.29146268328E+02  0.86457460018E+02  0.81396482942E+02 0.  0.
      -11    1    3    3    0    0 -0.32487478391E+02 -0.30488386207E+00  0.11462500849E+02  0.34451678219E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32487478391E+02  0.30488386207E+00 -0.40608769178E+02  0.52005781799E+02  0.00000000000E+00 0. -1.


 5   1  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.18652832683E+02  0.18652832683E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.83004085098E+02  0.83004085098E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.64351252415E+02  0.10165691778E+03  0.78695903613E+02 0.  0.
      -11    1    3    3    0    0 -0.19513332204E+02 -0.27059375156E+02 -0.52249377865E+01  0.33768030627E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.19513332204E+02  0.27059375156E+02 -0.59126314629E+02  0.67888887155E+02  0.00000000000E+00 0. -1.


 5   2  0.7748900E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.23805522586E+01  0.23805522586E+01  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.68585056640E+03  0.68585056640E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.68347001414E+03  0.68823111866E+03  0.80813442320E+02 0.  0.
       11    1    3    3    0    0 -0.24946384749E+02  0.76684487255E+01 -0.79027540856E+02  0.83225473455E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.24946384749E+02 -0.76684487255E+01 -0.60444247329E+03  0.60500564521E+03  0.00000000000E+00 0.  1.

      
pythia8-8.1.86.orig/examples/main80.cc0000644000175000017500000000561112357054701015567 0ustar  sunsun// main80.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do CKKW-L merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Generator. Input parameters.
  Pythia pythia;
  pythia.readFile("main80.cmnd");

  // Extract number of events and max number of jets in merging.
  int nEvent = pythia.mode("Main:numberOfEvents");
  int nMerge = pythia.mode("Merging:nJetMax");

  // Histograms combined over all jet multiplicities.
  Hist pTWsum("pT of W, summed over all subruns", 100, 0., 200.);

  // Merged total cross section, summed over subruns.
  double sigmaTotal = 0.;

  // Loop over subruns with varying number of jets.
  for (int iMerge = 0; iMerge <= nMerge; ++iMerge) {
    double sigmaSample = 0.;

    // Read in name of LHE file for current subrun and initialize.
    pythia.readFile("main80.cmnd", iMerge);
    pythia.init();

    // Histograms for current jet multiplicity.
    Hist weightNow("event weights, current subrun", 100, 0., 2.5);
    Hist pTWnow("pT of W, current subrun", 100, 0., 200.);

    // Start event generation loop.
    for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

      // Generate next event. Break out of event loop if at end of LHE file.
      if ( !pythia.next() ) {
        if ( pythia.info.atEndOfFile() ) break;
        else continue;
      }

      // Get CKKWL weight of current event. Histogram and accumulate it.
      double weight = pythia.info.mergingWeight();
      weightNow.fill( weight);
      sigmaSample += weight;

      // Find the final copy of the W+, which is after the full shower.
      int iW = 0;
      for (int i = 1; i < pythia.event.size(); ++i)
        if (pythia.event[i].id() == 24) iW = i;

      // Fill the pT of the W histogram, with CKKWL weight.
      double pTW = pythia.event[iW].pT();
      pTWnow.fill( pTW, weight);

    // End of event loop.
    }

    // Normalize pTW histogram, convert mb -> pb, and correct for bin width.
    pTWnow *= 1e9 * pythia.info.sigmaGen() / (2. * pythia.info.nAccepted());

    // Print cross section and histograms for current subrun.
    pythia.stat();
    cout << weightNow << pTWnow;

    // Sum up merged cross section of current run.   
    sigmaSample *= pythia.info.sigmaGen() / double(pythia.info.nAccepted());
    sigmaTotal  += sigmaSample;

    // Add current histogram to the combined one. End of subrun loop.
    pTWsum += pTWnow;
  }

  // Print final histograms and info on merged cross section..
  cout << pTWsum;
  cout << "\n\n The inclusive cross section after merging is: "
       << scientific << setprecision(4) << sigmaTotal << " mb " << endl;

  // Done
  return 0;

}
pythia8-8.1.86.orig/examples/main85.cmnd0000644000175000017500000000253312357054702016131 0ustar  sunsun! main85.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// Number of events generated
Main:numberOfEvents        = 1000

// Shower options
HadronLevel:all            = on
PartonLevel:MPI            = on

// Core process for merging
Merging:Process            = pp>LEPTONS,NEUTRINOS

// Maximal number of additional jets.
Merging:nJetMax            = 2

// Jet-separation merging
Merging:doKTMerging        = off
Merging:doMGMerging        = off
Merging:doUserMerging      = off
Merging:doPTLundMerging    = on
// Merging scale value.
Merging:TMS                = 15

// Cut-based merging
Merging:doCutBasedMerging  = off
// Merging scale values.
Merging:QijMS              = 0
Merging:pTiMS              = 0
Merging:dRijMS             = 0

// Switch off enforced rapidity ordering
SpaceShower:rapidityOrder  = off

// Since CKKW-L is a tree-level merging method, both leading-order and
// next-to-neading order PDFs are allowed. However, from parton shower
// considerations, leading-order PDFs are preferred, since multiparton
// interactions probe the incoming hadron at small momentum scales.
// Example PDF files generated with CTEQ6M PDFs.
PDF:useLHAPDF              = on
PDF:LHAPDFset              = cteq6m.LHpdf
SpaceShower:alphaSvalue    = 0.118
TimeShower:alphaSvalue     = 0.118
pythia8-8.1.86.orig/examples/main02.cc0000644000175000017500000000240112357054675015565 0ustar  sunsun// main02.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program. It fits on one slide in a talk.
// It studies the pT_Z spectrum at the Tevatron.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
int main() {
  // Generator. Process selection. Tevatron initialization. Histogram.
  Pythia pythia;
  pythia.readString("Beams:idB = -2212");
  pythia.readString("Beams:eCM = 1960.");
  pythia.readString("WeakSingleBoson:ffbar2gmZ = on");
  pythia.readString("PhaseSpace:mHatMin = 80.");
  pythia.readString("PhaseSpace:mHatMax = 120.");
  pythia.init();
  Hist pTZ("dN/dpTZ", 100, 0., 100.);
  // Begin event loop. Generate event. Skip if error. List first one.
  for (int iEvent = 0; iEvent < 1000; ++iEvent) {
    if (!pythia.next()) continue;
    // Loop over particles in event. Find last Z0 copy. Fill its pT.
    int iZ = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
      if (pythia.event[i].id() == 23) iZ = i;
    pTZ.fill( pythia.event[iZ].pT() );
  // End of event loop. Statistics. Histogram. Done.
  }
  pythia.stat();
  cout << pTZ;
  return 0;
}
pythia8-8.1.86.orig/examples/main42.cc0000644000175000017500000000631712357054700015570 0ustar  sunsun// main42.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Author: Mikhail Kirsanov, Mikhail.Kirsanov@cern.ch.
// This program illustrates how a file with HepMC events
// can be generated by Pythia8.
// Input and output files are specified on the command line, e.g. like
// ./main42.exe main42.cmnd hepmcout42.dat > out
// The main program contains no analysis; this is intended to happen later.
// It therefore "never" has to be recompiled to handle different tasks.

// WARNING: typically one needs 25 MB/100 events at the LHC.
// Therefore large event samples may be impractical.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"

using namespace Pythia8;

int main(int argc, char* argv[]) {

  // Check that correct number of command-line arguments
  if (argc != 3) {
    cerr << " Unexpected number of command-line arguments. \n You are"
         << " expected to provide one input and one output file name. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Check that the provided input name corresponds to an existing file.
  ifstream is(argv[1]);
  if (!is) {
    cerr << " Command-line file " << argv[1] << " was not found. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Confirm that external files will be used for input and output.
  cout << "\n >>> PYTHIA settings will be read from file " << argv[1]
       << " <<< \n >>> HepMC events will be written to file "
       << argv[2] << " <<< \n" << endl;

  // Interface for conversion from Pythia8::Event to HepMC event.
  HepMC::Pythia8ToHepMC ToHepMC;

  // Specify file where HepMC events will be stored.
  HepMC::IO_GenEvent ascii_io(argv[2], std::ios::out);
 
  // Generator.
  Pythia pythia;

  // Read in commands from external file.
  pythia.readFile(argv[1]);

  // Extract settings to be used in the main program.
  int    nEvent    = pythia.mode("Main:numberOfEvents");
  int    nAbort    = pythia.mode("Main:timesAllowErrors");
 
  // Initialization.
  pythia.init();

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate event.
    if (!pythia.next()) {

      // If failure because reached end of file then exit event loop.
      if (pythia.info.atEndOfFile()) {
        cout << " Aborted since reached end of Les Houches Event File\n";
        break;
      }

      // First few failures write off as "acceptable" errors, then quit.
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Construct new empty HepMC event and fill it.
    // Units will be as chosen for HepMC build, but can be changed
    // by arguments, e.g. GenEvt( HepMC::Units::GEV, HepMC::Units::MM)
    HepMC::GenEvent* hepmcevt = new HepMC::GenEvent();
    ToHepMC.fill_next_event( pythia, hepmcevt );

    // Write the HepMC event to file. Done with it.
    ascii_io << hepmcevt;
    delete hepmcevt;

  // End of event loop. Statistics.
  }
  pythia.stat();

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main24.cmnd0000644000175000017500000000406712357054677016141 0ustar  sunsun! main24.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

! 1) Settings used in the main program.
Main:numberOfEvents = 10000        ! number of events to generate
Main:timesAllowErrors = 3          ! how many aborts before run stops

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = off ! list changed particle data
Next:numberCount = 500             ! print message every n events
Next:numberShowInfo = 2            ! print event information n times
Next:numberShowProcess = 2         ! print process record n times
Next:numberShowEvent = 2           ! print event record n times

! 3) Beam parameter settings. Values below agree with default ones.
Beams:idA = 2212                   ! first beam, p = 2212, pbar = -2212
Beams:idB = 2212                   ! second beam, p = 2212, pbar = -2212
Beams:eCM = 10000.                 ! CM energy of collision

! 4) Read SLHA spectrum
SLHA:file = cmssm.spc              ! Sample SLHA1 spectrum for CMSSM-10.1.1
#SLHA:file = sps1aWithDecays.spc     ! Older example including DECAY tables

! 5) Process selection
SUSY:all = on                      ! Switches on ALL (~400) SUSY processes
#SUSY:gg2gluinogluino  = on
#SUSY:qqbar2gluinogluino  = on
#SUSY:qg2squarkgluino = on
#SUSY:gg2squarkantisquark = on
#SUSY:qqbar2squarkantisquark = on
#SUSY:qq2squarksquark = on
#SUSY:qqbar2chi0chi0  = on
#SUSY:qqbar2chi+-chi0 = on
#SUSY:qqbar2chi+chi-  = on
#SUSY:qg2chi0squark = on
#SUSY:qg2chi+-squark  = on
! Optionally select only specific sparticle codes in the final state
#SUSY:idA        = 2000001           ! 0: all
#SUSY:idB        = 2000001           ! 0: all

! 6) Settings for the event generation process in the Pythia8 library.
PartonLevel:MPI = off              ! no multiparton interactions
PartonLevel:ISR = off              ! no initial-state radiation
PartonLevel:FSR = off              ! no final-state radiation
HadronLevel:Hadronize = off        ! no hadronization
pythia8-8.1.86.orig/examples/configure0000755000175000017500000004114412357054675016106 0ustar  sunsun#!/bin/sh
#
# Configuration script, to be run before making examples
#
# Author: M. Kirsanov

#
# User-changeable part -------------------------------
#

#LCG platform. Can be needed if external libraries are specified
if [ x$MYLCGPLATFORM = x ]; then
  export MYLCGPLATFORM=x86_64-slc5-gcc43-opt
fi

# Defaults
export COMPMODE=OPT
export PYTHIA8LOCATION=..

# check arguments

for arg in $* ; do
  if [ "x$arg" = "x--enable-debug" ] ; then
    COMPMODE=DBG
  elif [ "x$arg" = "x--enable-shared" ] ; then
    SHAREDLIBS=yes
  elif [ "x$arg" = "x--help" ] ; then
    echo "Usage: ./configure [options] , where options are:"
    echo "--help                   : prints this help"
    echo "--enable-debug           : turns on debugging flags and turns off optimization"
    echo "--enable-shared          : use shared library (not yet implemented) (default no)"
    echo "--lcgplatform=name       : LCG platform name, default is slc4_ia32_gcc34"
    echo "--with-pythia8=p8path    : path to pythia8 installation dir to find libs, includes and pars (default is ..)"
    echo "--with-lhapdf=lhapdfpath : path to LHAPDF libraries dir (LHAPDF must be version 5.3 or higher)"
    echo "--with-lhapdfversion=v   : LHAPDF version (simplified alternative when using CERN AFS MCGenerators, e.g. =5.5.1.a)"
    echo "--with-lhapdflibname=n   : lhapdf library name line (default is -lLHAPDF)"
    echo "--with-lhapdfsets=path   : path to LHAPDF data (default is lhapdfpath/../PDFsets, CERN AFS default is lhapdfpath/../../../share/PDFsets)"
    echo "--with-fastjet=path      : path to fastjet (default = /usr/local)"
    echo "--with-fastjetversion=v  : fastjet version (simplified alternative when using CERN AFS external, e.g. =2.3.3); ignored if --with-fastjet option is used"
    exit
  elif [ x`echo x${arg} | grep "="` != x ] ; then
    option=`echo ${arg} | awk -F = '{print $1}'`
    value=`echo ${arg} | awk -F = '{print $2}'`
    if [ "x${option}" = "x--lcgplatform" ] ; then
      MYLCGPLATFORM=${value}
    elif [ "x${option}" = "x--with-pythia8" ] ; then
      PYTHIA8LOCATION=${value}
    elif [ "x${option}" = "x--with-lhapdfversion" ] ; then
      LHAPDFVERSION=${value}
    elif [ "x${option}" = "x--with-lhapdf" ] ; then
      LHAPDFLOCATION=${value}
    elif [ "x${option}" = "x--with-lhapdflibname" ] ; then
      LHAPDFLIBNAME=${value}
    elif [ "x${option}" = "x--with-lhapdfsets" ] ; then
      LHAPDFSETSLOCATION=${value}
    elif [ "x${option}" = "x--with-fastjetversion" ] ; then
      FASTJETVERSION=${value}
    elif [ "x${option}" = "x--with-fastjet" ] ; then
      FASTJETLOCATION=${value}
    else
      echo "${arg}: wrong option. Ignored." >&2
    fi
  else
    echo "${arg}: wrong option. Ignored." >&2
  fi
done

echo compilation mode is $COMPMODE


# LHAPDF location
# The default values here correspond to CERN AFS (but you may want to change
# the version and/or platform).

if [ x${LHAPDFLOCATION} != x ]; then
  if [ x${LHAPDFSETSLOCATION} = x ]; then
    export LHAPDFSETSLOCATION=${LHAPDFLOCATION}/../PDFsets
    if [ ! -d ${LHAPDFSETSLOCATION} ]; then
      export LHAPDFSETSLOCATION=${LHAPDFLOCATION}/../../share/lhapdf/PDFsets
    fi
    if [ ! -d ${LHAPDFSETSLOCATION} ]; then
      export LHAPDFSETSLOCATION=${LHAPDFLOCATION}/../share/lhapdf/PDFsets
    fi
    if [ ! -d ${LHAPDFSETSLOCATION} ]; then
      export LHAPDFSETSLOCATION=${LHAPDFLOCATION}/../../../share/lhapdf/PDFsets
    fi
  fi
fi
if [ x${LHAPDFVERSION} = x ]; then
  export LHAPDFVERSION=5.7.0
else
  if [ x${LHAPDFLOCATION} = x ]; then
    export LHAPDFLOCATION=/afs/cern.ch/sw/lcg/external/MCGenerators/lhapdf/${LHAPDFVERSION}/${MYLCGPLATFORM}/lib/archive
    if [ x${LHAPDFSETSLOCATION} = x ]; then
      export LHAPDFSETSLOCATION=/afs/cern.ch/sw/lcg/external/MCGenerators/lhapdf/${LHAPDFVERSION}/share/PDFsets
    fi
  fi
fi
if [ x${LHAPDFLOCATION} = x ]; then
  export LHAPDFLOCATION=/afs/cern.ch/sw/lcg/external/MCGenerators/lhapdf/${LHAPDFVERSION}/${MYLCGPLATFORM}/lib/archive
fi
if [ x${LHAPDFLIBNAME} = x ]; then
  export LHAPDFLIBNAME="-lLHAPDF"
fi
if [ x${LHAPDFSETSLOCATION} = x ]; then
  export LHAPDFSETSLOCATION=/afs/cern.ch/sw/lcg/external/MCGenerators/lhapdf/${LHAPDFVERSION}/share/PDFsets
fi

# Fastjet location
# If no explicit FASTJETLOCATION has been set, choose between default and AFS option.
if [ x${FASTJETLOCATION} = x ]; then
  if [ x${FASTJETVERSION} != x ]; then
    export FASTJETLOCATION=/afs/cern.ch/sw/lcg/external/fastjet/${FASTJETVERSION}/${MYLCGPLATFORM}
  else
    export FASTJETLOCATION=/usr/local
  fi
fi 

#
# User-changeable part, experts  -----------------------------
#

# export FFLAGS_OPT="-O2 -Wuninitialized"
# -Wuninitialized outputs many irrelevant warnings and therefore obscurs 
export FFLAGS_OPT="-O2"
export FFLAGS_DBG=-g
export CFLAGS_OPT=-O2
export CFLAGS_DBG=-g
export CXXFLAGS_OPT="-O2 -ansi -pedantic -W -Wall"
export CXXFLAGS_DBG="-g -ansi -pedantic -W -Wall"
#
# Find platform.
#
export ARCH0="`uname`"
export ARCH=${ARCH0}
export theGcc=`g++ --version | head -n 1 | awk '{print$3}' | awk -F . '{print $1}'`
if [ ${theGcc} = 4 ]; then
  export ARCH=${ARCH}-gcc4
fi
echo Platform is $ARCH

#default platform settings:
if [ x$FC = x ]; then
  export FC=g77
fi
if [ x$CC = x ]; then
  export CC=gcc
fi
export FFLAGS="${FFLAGS_OPT}"
export CFLAGS="${CFLAGS_OPT}"
export CXXFLAGS="${CXXFLAGS_OPT}"
export FLIBS="-lfrtbegin -lg2c"
if [ ${COMPMODE} = OPT ]; then
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
fi
if [ ${COMPMODE} = DBG ]; then
  export FFLAGS="${FFLAGS_DBG}"
  export CFLAGS="${CFLAGS_DBG}"
  export CXXFLAGS="${CXXFLAGS_DBG}"
fi
if [ $ARCH = Linux ]; then
  if [ x$FC = x ]; then
    export FC=g77
  fi
  export FFLAGS="${FFLAGS_OPT} -Wno-globals"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lfrtbegin -lg2c"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG} -Wno-globals"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
fi
# Linux platform with gcc4: new Fortran90 compiler.
if [ $ARCH = Linux-gcc4 ]; then
  if [ x$FC = x ]; then
    export FC=gfortran
  fi
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lgfortran -lgfortranbegin"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG}"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
fi
# Mac-OSX with gcc4
if [ $ARCH = Darwin-gcc4 ]; then
  if [ x$FC = x ]; then
    export FC=gfortran
  fi
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lgfortran"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG}"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
fi
# Mac-OSX with gcc3; is not tested
if [ $ARCH = Darwin ]; then
  if [ x$FC = x ]; then
    export FC=g77
  fi
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lfrtbegin -lg2c"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG}"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
fi

#Platform & opt/dbg - independent flags and variables:


#
# End of the user-changeable part ---------------------------
#
# Checks
#

if [ ! -d ${PYTHIA8LOCATION}/lib ]; then
  echo ERROR: pythia8 libraries not found at ${PYTHIA8LOCATION}/lib
  exit
fi

if [ $?LHAPDFLOCATION ]; then
  if [ x${LHAPDFLOCATION} != x ]; then
    if [ ! -d ${LHAPDFLOCATION} ]; then
      echo WARNING in LHAPDFLOCATION: directory ${LHAPDFLOCATION} does not exist
      echo ...so you cannot run main programs that use LHAPDF 
    fi
    if [ ! -e ${LHAPDFLOCATION}/libLHAPDF.so ] && \
       [ ! -e ${LHAPDFLOCATION}/libLHAPDF.dylib ] && \
       [ ! -e ${LHAPDFLOCATION}/libLHAPDF.a ]; then
      echo WARNING in LHAPDFLOCATION: LHAPDF libraries are not found in ${LHAPDFLOCATION}
      echo "please specify path to the LHAPDF libraries directory (add /lib to the path?)"
      echo ...otherwise you cannot run main programs that use LHAPDF
    fi
    if [ ! -d ${LHAPDFSETSLOCATION} ]; then
      echo WARNING in LHAPDFSETSLOCATION: directory ${LHAPDFSETSLOCATION} does not exist
      echo ...so you cannot run main programs that use LHAPDF 
    fi
  fi
fi

# Fastjet
if [ -x ${FASTJETLOCATION}/bin/fastjet-config ]; then
  FASTJETVERSION1=`${FASTJETLOCATION}/bin/fastjet-config --version`
  echo Found fastjet version ${FASTJETVERSION1} at ${FASTJETLOCATION}
else
  echo WARNING: FastJet not found, the corresponding examples will not work
  echo ...so you cannot run main programs that use FastJet
  export FASTJETLOCATION=
fi

rm -f config.mk

echo SHELL = /bin/sh > config.mk
#echo ARCH = ${ARCH} >> config.mk
#echo MYLCGPLATFORM = ${MYLCGPLATFORM} >> config.mk
#echo FC = ${FC} >> config.mk
#echo CC = ${CC} >> config.mk
#echo FFLAGS = ${FFLAGS} >> config.mk
#echo CFLAGS = ${CFLAGS} >> config.mk
#echo CXXFLAGS = ${CXXFLAGS} >> config.mk
#echo FLIBS = ${FLIBS} >> config.mk
#
echo PYTHIA8LOCATION = ${PYTHIA8LOCATION} >> config.mk
if [ x${LHAPDFVERSION} != x ]; then
  echo LHAPDFVERSION = ${LHAPDFVERSION} >> config.mk
fi
if [ x${LHAPDFLOCATION} != x ]; then
  echo LHAPDFLOCATION = ${LHAPDFLOCATION} >> config.mk
fi
if [ "x${LHAPDFLIBNAME}" != "x" ]; then
  echo "LHAPDFLIBNAME = ${LHAPDFLIBNAME}" >> config.mk
fi

# Fastjet
if [ "x${FASTJETLOCATION}" != "x" ]; then
  echo "FASTJETLOCATION = ${FASTJETLOCATION}" >> config.mk
fi


#
if [ ${PYTHIA8LOCATION} != .. ]; then
  if [ ! -e config.csh ]; then
    echo "#!/bin/csh" > config.csh
    echo "setenv PYTHIA8DATA ${PYTHIA8LOCATION}/xmldoc" >> config.csh
    echo "#!/bin/sh" > config.sh
    echo "export PYTHIA8DATA=${PYTHIA8LOCATION}/xmldoc" >> config.sh
  else
    echo "setenv PYTHIA8DATA ${PYTHIA8LOCATION}/xmldoc" >> config.csh
    echo "export PYTHIA8DATA=${PYTHIA8LOCATION}/xmldoc" >> config.sh
  fi
fi
#
# For the moment we take archive libraries of lhapdf, so actions with
# LD_LIBRARY_PATH are not needed, this is for the future.
# Setting LHAPATH is always needed
# Linux platforms:
if [ $ARCH0 != Darwin ]; then
  if [ x${LHAPDFLOCATION} != x ]; then
    if [ ! -e config.csh ]; then
      echo "#!/bin/csh" > config.csh
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${LHAPDFLOCATION}" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.csh
      echo "endif" >> config.csh
      echo "setenv LHAPATH ${LHAPDFSETSLOCATION}" >> config.csh
      echo "#!/bin/sh" > config.sh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo "export LHAPATH=${LHAPDFSETSLOCATION}" >> config.sh
    else
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${LHAPDFLOCATION}" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.csh
      echo "endif" >> config.csh
      echo "setenv LHAPATH ${LHAPDFSETSLOCATION}" >> config.csh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo "export LHAPATH=${LHAPDFSETSLOCATION}" >> config.sh
    fi
  fi
  if [ x${FASTJETLOCATION} != x ]; then
    if [ ! -e config.csh ]; then
      echo "#!/bin/csh" > config.csh
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${FASTJETLOCATION}/lib" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.csh
      echo "endif" >> config.csh
      echo "#!/bin/sh" > config.sh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
    else
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${FASTJETLOCATION}/lib" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.csh
      echo "endif" >> config.csh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
    fi
  fi
# Mac-OSX platforms:
else
  if [ x${LHAPDFLOCATION} != x ]; then
    if [ ! -e config.csh ]; then
      echo "#!/bin/csh" > config.csh
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${LHAPDFLOCATION}" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.csh
      echo "endif" >> config.csh
      echo "setenv LHAPATH ${LHAPDFSETSLOCATION}" >> config.csh
      echo "#!/bin/sh" > config.sh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo "export LHAPATH=${LHAPDFSETSLOCATION}" >> config.sh
    else
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${LHAPDFLOCATION}" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.csh
      echo "endif" >> config.csh
      echo "setenv LHAPATH ${LHAPDFSETSLOCATION}" >> config.csh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${LHAPDFLOCATION}" >> config.sh
      echo fi >> config.sh
      echo "export LHAPATH=${LHAPDFSETSLOCATION}" >> config.sh
    fi
  fi
  if [ x${FASTJETLOCATION} != x ]; then
    if [ ! -e config.csh ]; then
      echo "#!/bin/csh" > config.csh
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${FASTJETLOCATION}/lib" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.csh
      echo "endif" >> config.csh
      echo "#!/bin/sh" > config.sh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
    else
      echo 'if( ! $?LD_LIBRARY_PATH ) then' >> config.csh
      echo "  setenv LD_LIBRARY_PATH ${FASTJETLOCATION}/lib" >> config.csh
      echo "else" >> config.csh
      echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.csh
      echo "endif" >> config.csh
      echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH=${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
      echo 'if [ $?LD_LIBRARY_PATH ]; then' >> config.sh
      echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${FASTJETLOCATION}/lib" >> config.sh
      echo fi >> config.sh
    fi
  fi
fi
pythia8-8.1.86.orig/examples/w+_production_lhc_0.lhe0000644000175000017500000030017212357054721020514 0ustar  sunsun

      


# MG/ME version    : 4.4.48
# madgraph version : 4.4.5
# template version : 2.4.25
# helas version    : 3.8
# model version    : sm_1.2.1


#*********************************************************************
#                        MadGraph/MadEvent                           *
#                   http://madgraph.hep.uiuc.edu                     *
#                                                                    *
#                          proc_card.dat                             *
#                                                                    *
# This file is used to generate the code for a specific process.     *
# Some notation/conventions:                                         *
#                                                                    *
# 0. Do not modify the TAGS and their order.                         *
# 1. hash/pound is a comment.                                        *
# 2. The number after the @ is used as an identifier for the class   *
#    of processes. It can be any positive integer.                   *
# 3. The number of lines for the max couplings depends on how many   *
#    different classes of couplings are present in the model         *
#    In the SM these are just two: QED (which include EW) and QCD    *
# 4. Write "end_coup" after  the couplings list,                     *
#    to tell MG that the couplings input is over.                    *
# 5. Write "done" after the proc list to                             *
#    to tell MG that the proc input is over.                         *
# 6. Some model names available at present are:                      *
#    sm     =  Standard Model                                        *
#    smckm =  Standard Model with Cabibbo matrix                     *
#    mssm   =  Minimal Supersymmetric Standard Model                 *
#    2hdm   =  Generic Two Higgs Doublet model                       *
#    heft   =  Higgs EFT (+Standard Model)                           *
#    usrmod =  User Model                                            *
# 7. Don't leave spaces between the particles name in the            *
#    definition of the multiparticles.                               *
#*********************************************************************
#*********************************************************************
# Process(es) requested : mg2 input                                  *
#*********************************************************************
# Begin PROCESS # This is TAG. Do not modify this line
pp>e+ve  @1       # First Process
QCD=99             # Max QCD couplings
QED=2              # Max QED couplings
end_coup           # End the couplings input
done               # this tells MG there are no more procs
# End PROCESS  # This is TAG. Do not modify this line
#*********************************************************************
# Model information                                                  *
#*********************************************************************
# Begin MODEL  # This is TAG. Do not modify this line
sm           
# End   MODEL  # This is TAG. Do not modify this line
#*********************************************************************
# Start multiparticle definitions                                    *
#*********************************************************************
# Begin MULTIPARTICLES # This is TAG. Do not modify this line
P uu~dd~cc~ss~g
J uu~dd~cc~ss~g
L+ e+mu+
L- e-mu-
vl vevm
vl~ ve~vm~
# End  MULTIPARTICLES # This is TAG. Do not modify this line


#******************************************************************
#                      MadGraph/MadEvent                          *
#******************************************************************
#   Les Houches friendly file for the SM parameters of MadGraph   *
#        Spectrum and decay widths produced by SMCalc             *
#******************************************************************
#*Please note the following IMPORTANT issues:                     *
#                                                                 *
#0. REFRAIN from editing this file by hand! Some of the parame-   *
#   ters are not independent                                      *
#   (such as G_Fermi, alpha_em, sin(theta_W),MZ,MW) and serious   *
#   problems might be encountered (such as violation of unitarity *
#   or gauge invariance).  Always use a calculator.               *
#                                                                 *
#1. alpha_S(MZ) has been used in the calculation of the parameters*
#   but, for consistency, it will be reset by madgraph to the     *
#   value expected IF the pdfs for collisions with hadrons are    *
#   used. This value is KEPT by madgraph when no pdf are used     *
#   lpp(i)=0 .                                                    *
#                                                                 *
#2. Values of the charm and bottom kinematic (pole) masses are    *
#   those used in the matrix elements and phase space UNLESS they *
#   are set to ZERO from the start in the model (particles.dat)   *
#   This happens, for example,  when using 5-flavor QCD where     *
#   charm and bottom are treated as partons in the initial state  *
#   and a zero mass might be hardwired in the model definition.   *
#                                                                 *
#******************************************************************
Block SMINPUTS      # Standard Model inputs
     1         1.32506980E+02   # alpha_em(MZ)(-1) SM MSbar
     2         1.16639000E-05   # G_Fermi
     3         1.18000000E-01   # alpha_s(MZ) SM MSbar
     4         9.11880000E+01   # Z mass (as input parameter)
Block MGYUKAWA     # Yukawa masses m/v=y/sqrt(2)
#    PDG          YMASS
     5         4.20000000E+00   # mbottom for the Yukawa  y_b
     4         1.42000000E+00   # mcharm  for the Yukawa  y_c
     6         1.64500000E+02   # mtop    for the Yukawa  y_t
    15         1.77700000E+00   # mtau    for the Yukawa  y_ta
Block MGCKM     # CKM elements for MadGraph
     1   1     9.75000000E-01   # Vud for Cabibbo matrix
Block MASS      #  Mass spectrum (kinematic masses)
#       PDG       Mass
         5     4.70000000E+00   # bottom   pole mass
         6     1.74300000E+02   # top      pole mass
        15     1.77700000E+00   # tau      mass
        23     9.11880000E+01   # Z        mass
        24     8.04190000E+01   # W        mass
        25     1.20000000E+02   # H        mass
#            PDG       Width
DECAY         6     1.50833649E+00   # top width
DECAY        23     2.44140351E+00   # Z   width
DECAY        24     2.04759951E+00   # W   width
DECAY        25     5.75308848E-03   # H   width
#        BR           NDA        ID1       ID2
     8.27451012E-02    2           4        -4   # BR( H -> c  cbar  )
     7.17809696E-01    2           5        -5   # BR( H -> b  bbar  )
     0.00000000E+00    2           6        -6   # BR( H -> t  tbar  )
     4.31720144E-02    2          15       -15   # BR( H -> tau- tau+)
     6.90597075E-03    2          23        23   # BR( H -> Z   Z^(*))
     7.45906395E-02    2          24       -24   # BR( H -> W   W^(*))
     3.01765558E-02    2          21        21   # BR( H -> g   g    )
     1.42800773E-03    2          22        22   # BR( H -> A   A    )


#*********************************************************************
#                       MadGraph/MadEvent                            *
#                  http://madgraph.hep.uiuc.edu                      *
#                                                                    *
#                        run_card.dat                                *
#                                                                    *
#  This file is used to set the parameters of the run.               *
#                                                                    *
#  Some notation/conventions:                                        *
#                                                                    *
#   Lines starting with a '# ' are info or comments                  *
#                                                                    *
#   mind the format:   value    = variable     ! comment             *
#*********************************************************************
#
#*******************                                                 
# Running parameters
#*******************                                                 
#                                                                    
#*********************************************************************
# Tag name for the run (one word)                                    *
#*********************************************************************
  'fermi'     = run_tag ! name of the run 
#*********************************************************************
# Run to generate the grid pack                                      *
#*********************************************************************
  .false.     = gridpack  !True = setting up the grid pack
#*********************************************************************
# Number of events and rnd seed                                      *
#*********************************************************************
  100         = nevents ! Number of unweighted events requested 
     25484 = iseed   ! rnd seed (0=assigned automatically=default))
#*********************************************************************
# Collider type and energy                                           *
#*********************************************************************
        1     = lpp1  ! beam 1 type (0=NO PDF)
        1    = lpp2  ! beam 2 type (0=NO PDF)
   3500.0    = ebeam1  ! beam 1 energy in GeV
   3500.0    = ebeam2  ! beam 2 energy in GeV
#*********************************************************************
# Beam polarization from -100 (left-handed) to 100 (right-handed)    *
#*********************************************************************
        0     = polbeam1 ! beam polarization for beam 1
        0     = polbeam2 ! beam polarization for beam 2
#*********************************************************************
# PDF CHOICE: this automatically fixes also alpha_s and its evol.    *
#*********************************************************************
# 'cteq6_l'    = pdlabel     ! PDF set  
 'lhapdf'    = pdlabel        ! PDF label
 10042       = lhaid          ! PDF set 
#*********************************************************************
# Renormalization and factorization scales                           *
#*********************************************************************
 T        = fixed_ren_scale  ! if .true. use fixed ren scale
 T        = fixed_fac_scale  ! if .true. use fixed fac scale
 91.188	  = scale            ! fixed ren scale
 80.4     = dsqrt_q2fact1    ! fixed fact scale for pdf1
 80.4     = dsqrt_q2fact2    ! fixed fact scale for pdf2
 1        = scalefact        ! scale factor for event-by-event scales
#*********************************************************************
# Matching - Warning! ickkw > 0 is still beta
#*********************************************************************
 0        = ickkw            ! 0 no matching, 1 MLM, 2 CKKW matching
 1        = highestmult      ! for ickkw=2, highest mult group
 1        = ktscheme         ! for ickkw=1, 1 Durham kT, 2 Pythia pTE
 1        = alpsfact         ! scale factor for QCD emission vx
 F        = chcluster        ! cluster only according to channel diag
 F        = pdfwgt           ! for ickkw=1, perform pdf reweighting
#*********************************************************************
#                                                                    
#**********************************
# BW cutoff (M+/-bwcutoff*Gamma)
#**********************************
  15d0  = bwcutoff
#*******************                                                 
# Standard Cuts
#*******************                                                 
#                                                                    
#*********************************************************************
# Minimum and maximum pt's                                           *
#*********************************************************************
 0d0 = ptj       ! minimum pt for the jets 
 0d0  = ptb       ! minimum pt for the b 
 0d0 = pta       ! minimum pt for the photons 
 0d0 = ptl       ! minimum pt for the charged leptons 
 0d0  = misset    ! minimum missing Et (sum of neutrino's momenta)
 0d0  = ptheavy   ! minimum pt for one heavy final state
 0d0 = ptonium   ! minimum pt for the quarkonium states
 1d9 = ptjmax    ! maximum pt for the jets
 1d9 = ptbmax    ! maximum pt for the b
 1d9 = ptamax    ! maximum pt for the photons
 1d9 = ptlmax    ! maximum pt for the charged leptons
 1d9 = missetmax ! maximum missing Et (sum of neutrino's momenta)
#*********************************************************************
# Minimum and maximum E's (in the lab frame)                         *
#*********************************************************************
 0d0  = ej     ! minimum E for the jets 
 0d0  = eb     ! minimum E for the b 
 0d0  = ea     ! minimum E for the photons 
 0d0  = el     ! minimum E for the charged leptons 
 1d9  = ejmax ! maximum E for the jets
 1d9  = ebmax ! maximum E for the b
 1d9  = eamax ! maximum E for the photons
 1d9  = elmax ! maximum E for the charged leptons
#*********************************************************************
# Maximum and minimum rapidity                                       *
#*********************************************************************
 1d9  = etaj    ! max rap for the jets 
 1d9  = etab    ! max rap for the b 
 1d9  = etaa    ! max rap for the photons 
 1d9  = etal    ! max rap for the charged leptons 
 1d9  = etaonium ! max rap for the quarkonium states
 0d0  = etajmin ! min rap for the jets
 0d0  = etabmin ! min rap for the b
 0d0  = etaamin ! min rap for the photons
 0d0  = etalmin ! main rap for the charged leptons
#*********************************************************************
# Minimum and maximum DeltaR distance                                *
#*********************************************************************
 0d0 = drjj    ! min distance between jets 
 0d0 = drbb    ! min distance between b's 
 0d0 = drll    ! min distance between leptons 
 0d0 = draa    ! min distance between gammas 
 0d0 = drbj    ! min distance between b and jet 
 0d0 = draj    ! min distance between gamma and jet 
 0d0 = drjl    ! min distance between jet and lepton 
 0d0 = drab    ! min distance between gamma and b 
 0d0 = drbl    ! min distance between b and lepton 
 0d0 = dral    ! min distance between gamma and lepton 
 1d9 = drjjmax ! max distance between jets
 1d9 = drbbmax ! max distance between b's
 1d9 = drllmax ! max distance between leptons
 1d9 = draamax ! max distance between gammas
 1d9 = drbjmax ! max distance between b and jet
 1d9 = drajmax ! max distance between gamma and jet
 1d9 = drjlmax ! max distance between jet and lepton
 1d9 = drabmax ! max distance between gamma and b
 1d9 = drblmax ! max distance between b and lepton
 1d9 = dralmax ! maxdistance between gamma and lepton
#*********************************************************************
# Minimum and maximum invariant mass for pairs                       *
#*********************************************************************
 0d0   = mmjj    ! min invariant mass of a jet pair 
 0d0   = mmbb    ! min invariant mass of a b pair 
 0d0   = mmaa    ! min invariant mass of gamma gamma pair
 0d0   = mmll    ! min invariant mass of l+l- (same flavour) lepton pair
 1d9   = mmjjmax ! max invariant mass of a jet pair
 1d9   = mmbbmax ! max invariant mass of a b pair
 1d9   = mmaamax ! max invariant mass of gamma gamma pair
 1d9   = mmllmax ! max invariant mass of l+l- (same flavour) lepton pair
#*********************************************************************
# Minimum and maximum invariant mass for all letpons                 *
#*********************************************************************
 0d0   = mmnl    ! min invariant mass for all letpons (l+- and vl) 
 1d9   = mmnlmax ! max invariant mass for all letpons (l+- and vl) 
#*********************************************************************
# Inclusive cuts                                                     *
#*********************************************************************
 0d0  = xptj ! minimum pt for at least one jet  
 0d0  = xptb ! minimum pt for at least one b 
 0d0  = xpta ! minimum pt for at least one photon 
 0d0  = xptl ! minimum pt for at least one charged lepton 
#*********************************************************************
# Control the pt's of the jets sorted by pt                          *
#*********************************************************************
 0d0   = ptj1min ! minimum pt for the leading jet in pt
 0d0   = ptj2min ! minimum pt for the second jet in pt
 0d0   = ptj3min ! minimum pt for the third jet in pt
 0d0   = ptj4min ! minimum pt for the fourth jet in pt
 1d9   = ptj1max ! maximum pt for the leading jet in pt 
 1d9   = ptj2max ! maximum pt for the second jet in pt
 1d9   = ptj3max ! maximum pt for the third jet in pt
 1d9   = ptj4max ! maximum pt for the fourth jet in pt
 0   = cutuse  ! reject event if fails any (0) / all (1) jet pt cuts
#*********************************************************************
# Control the Ht(k)=Sum of k leading jets                            *
#*********************************************************************
 0d0 = htjmin ! minimum jet HT=Sum(jet pt)
 1d9 = htjmax ! maximum jet HT=Sum(jet pt)
 0d0 = ht2min ! minimum Ht for the two leading jets
 0d0 = ht3min ! minimum Ht for the three leading jets
 0d0 = ht4min ! minimum Ht for the four leading jets
 1d9 = ht2max ! maximum Ht for the two leading jets
 1d9 = ht3max ! maximum Ht for the three leading jets
 1d9 = ht4max ! maximum Ht for the four leading jets
#*********************************************************************
# WBF cuts                                                           *
#*********************************************************************
 0   = xetamin ! minimum rapidity for two jets in the WBF case  
 0   = deltaeta ! minimum rapidity for two jets in the WBF case 
#*********************************************************************
# maximal pdg code for quark to be considered as a jet               *
# otherwise b cuts are applied                                       *
#*********************************************************************
 4 = maxjetflavor
#*********************************************************************
# Jet measure cuts                                                   *
#*********************************************************************
 0   = xqcut   ! minimum kt jet measure between partons
#*********************************************************************
 30d0  = ktdurham    ! minimum durham kt jet measure between partons
 0.4   = dparameter  ! D parameter for hadronic kT
 T     = dokt        ! T: enable durham kt cut
#*********************************************************************


#  Number of Events        :         100
#  Integrated weight (pb)  :  .49226E+04
#  Truncated wgt (pb)      :  .00000E+00
#  Unit wgt                :  .49226E+02


      

     2212     2212  0.35000000000E+04  0.35000000000E+04 0 0 10042 10042 3  1
  0.49226000000E+04  0.00000000000E+00  0.49226000000E+02   1


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.39919743011E+03  0.39919743011E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.39435316792E+01  0.39435316792E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.39525389843E+03  0.40314096179E+03  0.79353581190E+02 0.  0.
      -11    1    3    3    0    0 -0.30323238127E+02  0.99501563813E+01  0.31739128930E+03  0.31899174739E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.30323238127E+02 -0.99501563813E+01  0.77862609129E+02  0.84149214393E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.95197490922E+00  0.95197490922E+00  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.16818866900E+04  0.16818866900E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.16809347151E+04  0.16828386649E+04  0.80027843381E+02 0.  0.
      -11    1    3    3    0    0  0.15828281049E+02  0.19870783518E+02 -0.19038362578E+03  0.19207110007E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15828281049E+02 -0.19870783518E+02 -0.14905510894E+04  0.14907675649E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.77615790458E+01  0.77615790458E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19850039189E+03  0.19850039189E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.19073881285E+03  0.20626197094E+03  0.78502903954E+02 0.  0.
      -11    1    3    3    0    0 -0.15174502607E+01 -0.38183717099E+02 -0.71813441871E+02  0.81347829351E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15174502607E+01  0.38183717099E+02 -0.11892537098E+03  0.12491414159E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.42072561924E+02  0.42072561924E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.38977124225E+02  0.38977124225E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.30954376995E+01  0.81049686149E+02  0.80990554328E+02 0.  0.
      -11    1    3    3    0    0 -0.28819538317E+02 -0.19571059338E+02 -0.19113791286E+02  0.39735741717E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.28819538317E+02  0.19571059338E+02  0.22209228986E+02  0.41313944432E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.29212167130E+03  0.29212167130E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.55038951545E+01  0.55038951545E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.28661777615E+03  0.29762556646E+03  0.80194938774E+02 0.  0.
      -11    1    3    3    0    0  0.37828819818E+02  0.10343604175E+02  0.11230311451E+03  0.11895376953E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.37828819818E+02 -0.10343604175E+02  0.17431466164E+03  0.17867179693E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.35659668297E+02  0.35659668297E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47413529497E+02  0.47413529497E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.11753861200E+02  0.83073197794E+02  0.82237478917E+02 0.  0.
      -11    1    3    3    0    0  0.17908814678E+02  0.31450351122E+02 -0.25591936663E+02  0.44326035815E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17908814678E+02 -0.31450351122E+02  0.13838075463E+02  0.38747161979E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.78286723267E+02  0.78286723267E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.20682610751E+02  0.20682610751E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.57604112516E+02  0.98969334018E+02  0.80477918072E+02 0.  0.
      -11    1    3    3    0    0  0.45563844284E+01  0.64666299972E+01  0.77321057628E+02  0.77724667226E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.45563844284E+01 -0.64666299972E+01 -0.19716945112E+02  0.21244666792E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.25858372726E+03  0.25858372726E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.60682033233E+01  0.60682033233E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.25251552394E+03  0.26465193059E+03  0.79224709104E+02 0.  0.
      -11    1    3    3    0    0 -0.75337744095E+01  0.37543559491E+02  0.92377876673E+02  0.99999743573E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.75337744095E+01 -0.37543559491E+02  0.16013764727E+03  0.16465218702E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.99793468094E+01  0.99793468094E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.15366187616E+03  0.15366187616E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14368252936E+03  0.16364122297E+03  0.78318456411E+02 0.  0.
      -11    1    3    3    0    0  0.28595787235E+01 -0.38771325641E+02 -0.62029316186E+02  0.73205388797E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.28595787235E+01  0.38771325641E+02 -0.81653213170E+02  0.90435834177E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.13366889958E+02  0.13366889958E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.13169266044E+03  0.13169266044E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.11832577049E+03  0.14505955040E+03  0.83912366202E+02 0.  0.
      -11    1    3    3    0    0  0.20800831356E+01 -0.16415437871E+02  0.74881500340E+01  0.18162206288E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.20800831356E+01  0.16415437871E+02 -0.12581392052E+03  0.12689734411E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23508893876E+02  0.23508893876E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.62402811503E+02  0.62402811503E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.38893917627E+02  0.85911705379E+02  0.76603422200E+02 0.  0.
      -11    1    3    3    0    0 -0.29265800776E+02  0.24238545228E+02 -0.14065228425E+02  0.40519437564E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.29265800776E+02 -0.24238545228E+02 -0.24828689202E+02  0.45392267815E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.27282780432E+03  0.27282780432E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.64177401499E+01  0.64177401499E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.26641006417E+03  0.27924554447E+03  0.83688421034E+02 0.  0.
      -11    1    3    3    0    0  0.19130104104E+02 -0.92728176467E+01  0.12944227845E+02  0.24889738139E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19130104104E+02  0.92728176467E+01  0.25346583633E+03  0.25435580633E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.39513784705E+03  0.39513784705E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.40736220105E+01  0.40736220105E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.39106422504E+03  0.39921146906E+03  0.80240693688E+02 0.  0.
      -11    1    3    3    0    0  0.33663610850E+02 -0.15942952840E+02  0.26969823342E+03  0.27225824790E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33663610850E+02  0.15942952840E+02  0.12136599162E+03  0.12695322115E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.17519046473E+03  0.17519046473E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10852647909E+02  0.10852647909E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.16433781682E+03  0.18604311263E+03  0.87207349016E+02 0.  0.
      -11    1    3    3    0    0 -0.22790142761E+02  0.37167122110E+02  0.83669631687E+02  0.94347193067E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22790142761E+02 -0.37167122110E+02  0.80668185129E+02  0.91695919566E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.23019714065E+02  0.23019714065E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11793932553E+03  0.11793932553E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.94919611467E+02  0.14095903960E+03  0.10420997171E+03 0.  0.
      -11    1    3    3    0    0 -0.47607202185E+02 -0.43901888807E+01 -0.75483063192E+02  0.89349942849E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47607202185E+02  0.43901888807E+01 -0.19436548274E+02  0.51609096748E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.75272410826E+03  0.75272410826E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.20883876140E+01  0.20883876140E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.75063572065E+03  0.75481249587E+03  0.79296398518E+02 0.  0.
      -11    1    3    3    0    0  0.41790278289E+00  0.33861691010E+02  0.17903714993E+03  0.18221166213E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.41790278289E+00 -0.33861691010E+02  0.57159857072E+03  0.57260083375E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.84408307748E+01  0.84408307748E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.19802713894E+03  0.19802713894E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.18958630817E+03  0.20646796972E+03  0.81768296268E+02 0.  0.
      -11    1    3    3    0    0  0.38292425724E+02  0.13677083195E+02 -0.84038424370E+02  0.93358605619E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.38292425724E+02 -0.13677083195E+02 -0.10554788380E+03  0.11310936410E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45702754300E+02  0.45702754300E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.36413234308E+02  0.36413234308E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.92895199919E+01  0.82115988609E+02  0.81588849750E+02 0.  0.
      -11    1    3    3    0    0  0.27791331129E+02  0.82413736022E+01  0.33533989076E+02  0.44326140686E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27791331129E+02 -0.82413736022E+01 -0.24244469084E+02  0.37789847922E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.36981841238E+01  0.36981841238E+01  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.47472474352E+03  0.47472474352E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.47102655940E+03  0.47842292765E+03  0.83800226961E+02 0.  0.
      -11    1    3    3    0    0 -0.62653031138E+01  0.17182953310E+02 -0.45073241493E+03  0.45110333381E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.62653031138E+01 -0.17182953310E+02 -0.20294144468E+02  0.27319593834E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.77161362985E+03  0.77161362985E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.20518403040E+01  0.20518403040E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.76956178955E+03  0.77366547015E+03  0.79579593988E+02 0.  0.
      -11    1    3    3    0    0 -0.38709437995E+01 -0.30906491392E+02  0.14407138143E+03  0.14739999444E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38709437995E+01  0.30906491392E+02  0.62549040812E+03  0.62626547571E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.86508434722E+03  0.86508434722E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19456895148E+01  0.19456895148E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.86313865771E+03  0.86703003674E+03  0.82053288631E+02 0.  0.
      -11    1    3    3    0    0  0.13459192109E+02  0.96098193467E+01  0.34835249034E+02  0.38561548923E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.13459192109E+02 -0.96098193467E+01  0.82830340867E+03  0.82846848781E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.31465126350E+02  0.31465126350E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.52177120915E+02  0.52177120915E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.20711994565E+02  0.83642247265E+02  0.81037268023E+02 0.  0.
      -11    1    3    3    0    0 -0.25199271347E+02 -0.25238333622E+02 -0.30203886986E+02  0.46735977036E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25199271347E+02  0.25238333622E+02  0.94918924208E+01  0.36906270229E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.22616667417E+04  0.22616667417E+04  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.69233335260E+00  0.69233335260E+00  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.22609744084E+04  0.22623590751E+04  0.79141071961E+02 0.  0.
      -11    1    3    3    0    0 -0.21081305459E+01 -0.38769402374E+02  0.13487880875E+04  0.13493468108E+04  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21081305459E+01  0.38769402374E+02  0.91218632087E+03  0.91301226430E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47658209065E+01  0.47658209065E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.32668655669E+03  0.32668655669E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.32192073579E+03  0.33145237760E+03  0.78915895022E+02 0.  0.
      -11    1    3    3    0    0 -0.20800192122E+02  0.33452332659E+02 -0.15136151050E+03  0.15640336766E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.20800192122E+02 -0.33452332659E+02 -0.17055922528E+03  0.17504900994E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.24626478191E+02  0.24626478191E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.68401626460E+02  0.68401626460E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.43775148269E+02  0.93028104652E+02  0.82085106135E+02 0.  0.
      -11    1    3    3    0    0  0.29634070791E+02  0.64338443021E+01  0.94566436313E+01  0.31764769997E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29634070791E+02 -0.64338443021E+01 -0.53231791900E+02  0.61263334655E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.22644303842E+01  0.22644303842E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.72899900979E+03  0.72899900979E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.72673457941E+03  0.73126344018E+03  0.81259276586E+02 0.  0.
      -11    1    3    3    0    0  0.12135188158E+02 -0.24998547302E+02 -0.96625592146E+02  0.10054200722E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.12135188158E+02  0.24998547302E+02 -0.63010898726E+03  0.63072143296E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.44338180641E+01  0.44338180641E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.36141771663E+03  0.36141771663E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.35698389857E+03  0.36585153470E+03  0.80061486389E+02 0.  0.
      -11    1    3    3    0    0 -0.23204056497E+02 -0.18694442058E+02 -0.56340803834E+02  0.63735363641E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23204056497E+02  0.18694442058E+02 -0.30064309473E+03  0.30211617106E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.10972721558E+01  0.10972721558E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14628382347E+04  0.14628382347E+04  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14617409625E+04  0.14639355068E+04  0.80128188881E+02 0.  0.
      -11    1    3    3    0    0  0.10393347805E+02 -0.22343801183E+02 -0.13079988351E+04  0.13082309505E+04  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10393347805E+02  0.22343801183E+02 -0.15374212742E+03  0.15570455636E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.22212021413E+02  0.22212021413E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.69633458501E+02  0.69633458501E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.47421437088E+02  0.91845479915E+02  0.78656210723E+02 0.  0.
      -11    1    3    3    0    0  0.17094143803E+02  0.89834500113E+01  0.16294767652E+02  0.25267203630E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17094143803E+02 -0.89834500113E+01 -0.63716204740E+02  0.66578276284E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.11625898976E+02  0.11625898976E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14125686568E+03  0.14125686568E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.12963096671E+03  0.15288276466E+03  0.81049072793E+02 0.  0.
      -11    1    3    3    0    0  0.18002585961E+02  0.96422065532E+01 -0.13084059593E+03  0.13242479674E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.18002585961E+02 -0.96422065532E+01  0.12096292230E+01  0.20457967919E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.11763679000E+04  0.11763679000E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13340642869E+01  0.13340642869E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.11750338357E+04  0.11777019643E+04  0.79230054996E+02 0.  0.
      -11    1    3    3    0    0 -0.11680869234E+02  0.34320827132E+02  0.82487594780E+03  0.82567226618E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11680869234E+02 -0.34320827132E+02  0.35015788794E+03  0.35202969813E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.92013121345E+01  0.92013121345E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.18820738088E+03  0.18820738088E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.17900606874E+03  0.19740869301E+03  0.83228717579E+02 0.  0.
      -11    1    3    3    0    0  0.24217060868E+02  0.27398324616E+02 -0.42385455923E+02  0.55979113092E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24217060868E+02 -0.27398324616E+02 -0.13662061282E+03  0.14142957992E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.89670841537E+03  0.89670841537E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19091804884E+01  0.19091804884E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.89479923488E+03  0.89861759585E+03  0.82752116841E+02 0.  0.
      -11    1    3    3    0    0 -0.23503609795E+02  0.12335704256E+02  0.10273683088E+03  0.10611053525E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23503609795E+02 -0.12335704256E+02  0.79206240400E+03  0.79250706060E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.63138863845E+01  0.63138863845E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27535114216E+03  0.27535114216E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.26903725577E+03  0.28166502854E+03  0.83391506220E+02 0.  0.
      -11    1    3    3    0    0 -0.22862649292E+02 -0.19714677708E+02 -0.37376502928E+02  0.48045522382E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22862649292E+02  0.19714677708E+02 -0.23166075285E+03  0.23361950616E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.15529638766E+04  0.15529638766E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.58661345622E+00  0.58661345622E+00  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.15523772631E+04  0.15535504900E+04  0.60365205442E+02 0.  0.
      -11    1    3    3    0    0 -0.21563351045E+02  0.34038752918E+01  0.23977956476E+03  0.24077126936E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.21563351045E+02 -0.34038752918E+01  0.13125976984E+04  0.13127792207E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.38976089774E+03  0.38976089774E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.38257235900E+01  0.38257235900E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.38593517415E+03  0.39358662133E+03  0.77229980214E+02 0.  0.
      -11    1    3    3    0    0  0.67171133350E+01  0.76019305999E+01  0.30864806082E+01  0.10603552374E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.67171133350E+01 -0.76019305999E+01  0.38284869355E+03  0.38298306896E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.51296713835E+02  0.51296713835E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.30036930580E+02  0.30036930580E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.21259783255E+02  0.81333644415E+02  0.78505944551E+02 0.  0.
      -11    1    3    3    0    0 -0.18675408973E+02  0.27796971698E+02  0.31845608947E+02  0.46212393847E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18675408973E+02 -0.27796971698E+02 -0.10585825691E+02  0.35121250568E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.38993853706E+02  0.38993853706E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.46836253977E+02  0.46836253977E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.78424002713E+01  0.85830107684E+02  0.85471071966E+02 0.  0.
      -11    1    3    3    0    0 -0.31804054731E+00  0.19235502995E+02 -0.42241954390E+02  0.46416467293E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.31804054731E+00 -0.19235502995E+02  0.34399554119E+02  0.39413640391E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.17685769779E+02  0.17685769779E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.71197248909E+02  0.71197248909E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.53511479130E+02  0.88883018688E+02  0.70969800707E+02 0.  0.
      -11    1    3    3    0    0  0.22518126616E+02 -0.26461651942E+02 -0.35777681586E+02  0.49873114495E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22518126616E+02  0.26461651942E+02 -0.17733797544E+02  0.39009904193E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.24549917116E+02  0.24549917116E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.66202661413E+02  0.66202661413E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.41652744297E+02  0.90752578529E+02  0.80629271373E+02 0.  0.
      -11    1    3    3    0    0 -0.10673504819E+01 -0.23063001192E+02 -0.58024664921E+02  0.62449203360E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10673504819E+01  0.23063001192E+02  0.16371920624E+02  0.28303375169E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47922579519E+03  0.47922579519E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.34538437370E+01  0.34538437370E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.47577195145E+03  0.48267963893E+03  0.81367585962E+02 0.  0.
      -11    1    3    3    0    0  0.23900369462E+02 -0.38741480970E+01  0.43938978603E+02  0.50168421587E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.23900369462E+02  0.38741480970E+01  0.43183297285E+03  0.43251121734E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.60842294533E+01  0.60842294533E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21680453198E+03  0.21680453198E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.21072030253E+03  0.22288876144E+03  0.72638516480E+02 0.  0.
      -11    1    3    3    0    0 -0.14665964628E+02 -0.25674915533E+01 -0.37107399615E+01  0.15344449238E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.14665964628E+02  0.25674915533E+01 -0.20700956257E+03  0.20754431220E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.49041268785E+03  0.49041268785E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.31786596576E+01  0.31786596576E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.48723402820E+03  0.49359134751E+03  0.78964676317E+02 0.  0.
      -11    1    3    3    0    0 -0.38318814117E+02 -0.81694488472E+01  0.27410113157E+03  0.27688716427E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38318814117E+02  0.81694488472E+01  0.21313289662E+03  0.21670418324E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.62082075575E+01  0.62082075575E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.22894478581E+03  0.22894478581E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.22273657825E+03  0.23515299337E+03  0.75401240030E+02 0.  0.
      -11    1    3    3    0    0 -0.15495842786E+01 -0.18992344790E+02 -0.99161252570E+01  0.21481152487E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15495842786E+01  0.18992344790E+02 -0.21282045299E+03  0.21367184088E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15442144516E+02  0.15442144516E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10553710863E+03  0.10553710863E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.90094964112E+02  0.12097925314E+03  0.80739563617E+02 0.  0.
      -11    1    3    3    0    0  0.31961428537E+02  0.10420441687E+02 -0.11555870284E+02  0.35547948704E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.31961428537E+02 -0.10420441687E+02 -0.78539093827E+02  0.85431304440E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.26209783801E+01  0.26209783801E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.62762909785E+03  0.62762909785E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.62500811947E+03  0.63025007623E+03  0.81117255777E+02 0.  0.
      -11    1    3    3    0    0  0.11384044341E+02  0.37108359561E+02 -0.40390048910E+03  0.40576129918E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.11384044341E+02 -0.37108359561E+02 -0.22110763036E+03  0.22448877704E+03  0.00000000000E+00 0. -1.


 4   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.59307654888E+01  0.59307654888E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.10213377112E+03  0.10213377112E+03  0.00000000000E+00 0. -1.
      -11    1    1    2    0    0  0.14160608264E+02 -0.11983444682E+02 -0.12592643755E+02  0.22420982351E+02  0.00000000000E+00 0.  1.
       12    1    1    2    0    0 -0.14160608264E+02  0.11983444682E+02 -0.83610361878E+02  0.85643554260E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10903616176E+02  0.10903616176E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.17940768098E+03  0.17940768098E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.16850406480E+03  0.19031129716E+03  0.88457729845E+02 0.  0.
      -11    1    3    3    0    0  0.10651483403E+02 -0.42905981626E+02 -0.81353466565E+02  0.92589221187E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10651483403E+02  0.42905981626E+02 -0.87150598239E+02  0.97722075968E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20367098760E+03  0.20367098760E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.81152510551E+01  0.81152510551E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.19555573654E+03  0.21178623865E+03  0.81310299396E+02 0.  0.
      -11    1    3    3    0    0  0.10818517604E+02  0.20765138714E+02  0.18434572004E+03  0.18582673598E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10818517604E+02 -0.20765138714E+02  0.11210016505E+02  0.25959502672E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.36890999825E+03  0.36890999825E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.43667371900E+01  0.43667371900E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.36454326106E+03  0.37327673544E+03  0.80272859900E+02 0.  0.
      -11    1    3    3    0    0 -0.38212222877E+02 -0.94737139071E-02  0.23936737342E+03  0.24239825396E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38212222877E+02  0.94737139071E-02  0.12517588764E+03  0.13087848148E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.75182910641E+02  0.75182910641E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21545064147E+02  0.21545064147E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.53637846494E+02  0.96727974788E+02  0.80493990646E+02 0.  0.
      -11    1    3    3    0    0 -0.38927704509E+02  0.10011528243E+02  0.29288588363E+02  0.49733472475E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38927704509E+02 -0.10011528243E+02  0.24349258131E+02  0.46994502313E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.43698895256E+03  0.43698895256E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.37236966125E+01  0.37236966125E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.43326525595E+03  0.44071264917E+03  0.80677488368E+02 0.  0.
      -11    1    3    3    0    0  0.69676808350E+01  0.14339657537E+02  0.14216678691E+02  0.21360906056E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.69676808350E+01 -0.14339657537E+02  0.41904857725E+03  0.41935174311E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11913679486E+02  0.11913679486E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14862390570E+03  0.14862390570E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.13671022622E+03  0.16053758519E+03  0.84158364445E+02 0.  0.
      -11    1    3    3    0    0  0.76661361188E+01 -0.13997929201E+02  0.59162325110E+01  0.17020971536E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.76661361188E+01  0.13997929201E+02 -0.14262645873E+03  0.14351661365E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.30626147241E+02  0.30626147241E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.51585024999E+02  0.51585024999E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.20958877758E+02  0.82211172240E+02  0.79494668275E+02 0.  0.
      -11    1    3    3    0    0 -0.39344384223E+02  0.22624645325E+01 -0.51305334023E+01  0.39741938662E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.39344384223E+02 -0.22624645325E+01 -0.15828344356E+02  0.42469233578E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12211001694E+01  0.12211001694E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.13165212391E+04  0.13165212391E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.13153001389E+04  0.13177423392E+04  0.80189882356E+02 0.  0.
      -11    1    3    3    0    0 -0.25359230893E+02  0.38949802917E+01 -0.15133312174E+03  0.15349259004E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25359230893E+02 -0.38949802917E+01 -0.11639670172E+04  0.11642497492E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.31151831231E+03  0.31151831231E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.54957764399E+01  0.54957764399E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.30602253587E+03  0.31701408875E+03  0.82753489386E+02 0.  0.
      -11    1    3    3    0    0  0.15280521262E+02  0.39854145083E+01  0.65025336554E+01  0.17078079599E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15280521262E+02 -0.39854145083E+01  0.29952000222E+03  0.29993600915E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.74983699597E+01  0.74983699597E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19647329736E+03  0.19647329736E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.18897492740E+03  0.20397166732E+03  0.76765342983E+02 0.  0.
      -11    1    3    3    0    0 -0.26021113881E+01  0.30129923377E+02 -0.15728940628E+03  0.16017034868E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.26021113881E+01 -0.30129923377E+02 -0.31685521118E+02  0.43801318644E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19138524555E+02  0.19138524555E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.91765087734E+02  0.91765087734E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.72626563179E+02  0.11090361229E+03  0.83815234532E+02 0.  0.
      -11    1    3    3    0    0  0.18835070882E+02 -0.25882128842E+02 -0.52336120659E+00  0.32014346713E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.18835070882E+02  0.25882128842E+02 -0.72103201972E+02  0.78889265576E+02  0.00000000000E+00 0. -1.


 4   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.10484305593E+03  0.10484305593E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19774598446E+01  0.19774598446E+01  0.00000000000E+00 0.  1.
      -11    1    1    2    0    0  0.43856665334E+00  0.94421064528E+01  0.11142537259E+02  0.14611702554E+02  0.00000000000E+00 0.  1.
       12    1    1    2    0    0 -0.43856665334E+00 -0.94421064528E+01  0.91723058829E+02  0.92208813222E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.39953194619E+02  0.39953194619E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.35917421467E+02  0.35917421467E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.40357731528E+01  0.75870616086E+02  0.75763202944E+02 0.  0.
      -11    1    3    3    0    0  0.26206174949E+02  0.14495221427E+02  0.25248634691E+02  0.39171017391E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.26206174949E+02 -0.14495221427E+02 -0.21212861538E+02  0.36699598695E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.27936131182E+03  0.27936131182E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.56596121605E+01  0.56596121605E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.27370169966E+03  0.28502092398E+03  0.79525509808E+02 0.  0.
      -11    1    3    3    0    0  0.36063194115E+02  0.16074428589E+02  0.11998863989E+03  0.12631791214E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36063194115E+02 -0.16074428589E+02  0.15371305977E+03  0.15870301184E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.84554603035E+02  0.84554603035E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19097023431E+02  0.19097023431E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.65457579604E+02  0.10365162647E+03  0.80367685929E+02 0.  0.
      -11    1    3    3    0    0 -0.10950015565E+02  0.15908642623E+02 -0.12718956432E+02  0.23124869810E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10950015565E+02 -0.15908642623E+02  0.78176536036E+02  0.80526756656E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13949951094E+04  0.13949951094E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11895805395E+01  0.11895805395E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.13938055289E+04  0.13961846899E+04  0.81472916601E+02 0.  0.
      -11    1    3    3    0    0  0.29266666756E+01 -0.39670602105E+02  0.54639429492E+03  0.54784034862E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29266666756E+01  0.39670602105E+02  0.84741123393E+03  0.84834434132E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.29483761965E+03  0.29483761965E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.55315342275E+01  0.55315342275E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.28930608542E+03  0.30036915388E+03  0.80768914432E+02 0.  0.
      -11    1    3    3    0    0 -0.12466262649E+02 -0.33143748561E+01  0.23358091027E+01  0.13109110927E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12466262649E+02  0.33143748561E+01  0.28697027632E+03  0.28726004295E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.16010887504E+02  0.16010887504E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.81938556967E+02  0.81938556967E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.65927669463E+02  0.97949444472E+02  0.72440569238E+02 0.  0.
      -11    1    3    3    0    0 -0.26111294653E+02 -0.23400704950E+02 -0.20681242291E+02  0.40707572800E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.26111294653E+02  0.23400704950E+02 -0.45246427172E+02  0.57241871672E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.19845932852E+02  0.19845932852E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.99801738485E+02  0.99801738485E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.79955805634E+02  0.11964767134E+03  0.89009181559E+02 0.  0.
      -11    1    3    3    0    0  0.10108670248E+01  0.14738532086E+02 -0.96409613423E+02  0.97534915494E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10108670248E+01 -0.14738532086E+02  0.16453807789E+02  0.22112755842E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.60724518405E+01  0.60724518405E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.26478476524E+03  0.26478476524E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.25871231340E+03  0.27085721708E+03  0.80197075633E+02 0.  0.
      -11    1    3    3    0    0  0.80548355984E+01  0.16649272265E+02 -0.91942411668E+01  0.20654605155E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.80548355984E+01 -0.16649272265E+02 -0.24951807223E+03  0.25020261193E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.31437321690E+03  0.31437321690E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.50384053118E+01  0.50384053118E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.30933481159E+03  0.31941162221E+03  0.79597479505E+02 0.  0.
      -11    1    3    3    0    0 -0.10032663530E+02  0.74938120267E+01  0.30626170926E+03  0.30651761143E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10032663530E+02 -0.74938120267E+01  0.30731023280E+01  0.12894010784E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11940127046E+02  0.11940127046E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.14053003256E+03  0.14053003256E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.12858990552E+03  0.15247015961E+03  0.81925489138E+02 0.  0.
      -11    1    3    3    0    0  0.29202262414E+02  0.12445013214E+02 -0.16111367456E+02  0.35598126991E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29202262414E+02 -0.12445013214E+02 -0.11247853806E+03  0.11687203262E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.61287797676E+02  0.61287797676E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27298670282E+02  0.27298670282E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.33989127394E+02  0.88586467958E+02  0.81806488277E+02 0.  0.
      -11    1    3    3    0    0 -0.90109082363E+01  0.83731529790E+01  0.59237493784E+02  0.60501130798E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.90109082363E+01 -0.83731529790E+01 -0.25248366390E+02  0.28085337160E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.59188249450E+02  0.59188249450E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.27338240448E+02  0.27338240448E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.31850009002E+02  0.86526489899E+02  0.80451291977E+02 0.  0.
      -11    1    3    3    0    0  0.10516406506E+01 -0.15831803252E+01  0.59139929950E+02  0.59170463261E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10516406506E+01  0.15831803252E+01 -0.27289920949E+02  0.27356026637E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.11341433717E+04  0.11341433717E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14259794579E+01  0.14259794579E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.11327173923E+04  0.11355693512E+04  0.80430470603E+02 0.  0.
      -11    1    3    3    0    0 -0.28945457687E+00 -0.10782279700E+01 -0.12071531811E+01  0.16442561570E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.28945457687E+00  0.10782279700E+01  0.11339245454E+04  0.11339250950E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.69214723076E+01  0.69214723076E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21853182584E+03  0.21853182584E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.21161035353E+03  0.22545329814E+03  0.77783339626E+02 0.  0.
      -11    1    3    3    0    0 -0.47536158313E+01 -0.37731386141E+02 -0.82203018489E+02  0.90573675051E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47536158313E+01  0.37731386141E+02 -0.12940733504E+03  0.13487962309E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.48593595990E+02  0.48593595990E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.35821610339E+02  0.35821610339E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.12771985651E+02  0.84415206329E+02  0.83443414612E+02 0.  0.
      -11    1    3    3    0    0  0.37195386343E+02  0.17843748911E+02  0.84101689636E-01  0.41254129654E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.37195386343E+02 -0.17843748911E+02  0.12687883961E+02  0.43161076675E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.65627716272E+01  0.65627716272E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25279139979E+03  0.25279139979E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.24622862817E+03  0.25935417142E+03  0.81461947587E+02 0.  0.
      -11    1    3    3    0    0 -0.84734000070E+01  0.23496646042E+02 -0.22554594327E+03  0.22692479681E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.84734000070E+01 -0.23496646042E+02 -0.20682684895E+02  0.32429374606E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.61479326908E+03  0.61479326908E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.26326817381E+01  0.26326817381E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.61216058734E+03  0.61742595082E+03  0.80462538171E+02 0.  0.
      -11    1    3    3    0    0 -0.25581207700E+02  0.74268082417E+01  0.74728465343E+02  0.79334098599E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25581207700E+02 -0.74268082417E+01  0.53743212200E+03  0.53809185222E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.80785457152E+01  0.80785457152E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19859243651E+03  0.19859243651E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.19051389079E+03  0.20667098223E+03  0.80108378514E+02 0.  0.
      -11    1    3    3    0    0 -0.79451873037E+01  0.12349888358E+02 -0.19139704799E+03  0.19195956794E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.79451873037E+01 -0.12349888358E+02  0.88315719383E+00  0.14711414288E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.33587778018E+03  0.33587778018E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47797767801E+01  0.47797767801E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.33109800340E+03  0.34065755696E+03  0.80135405775E+02 0.  0.
      -11    1    3    3    0    0 -0.33819796154E+02  0.19955402889E+02  0.19940383954E+03  0.20323357976E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33819796154E+02 -0.19955402889E+02  0.13169416386E+03  0.13742397721E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.16434894004E+01  0.16434894004E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.98653398203E+03  0.98653398203E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.98489049263E+03  0.98817747143E+03  0.80532183444E+02 0.  0.
      -11    1    3    3    0    0  0.18393103099E+01  0.34449569336E+02 -0.23764139678E+03  0.24013244128E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.18393103099E+01 -0.34449569336E+02 -0.74724909585E+03  0.74804503015E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        4   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.41939554942E+02  0.41939554942E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.38046148882E+02  0.38046148882E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.38934060598E+01  0.79985703824E+02  0.79890889377E+02 0.  0.
      -11    1    3    3    0    0  0.11899841419E+01 -0.28925033359E+02 -0.25609859823E+02  0.38651501100E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.11899841419E+01  0.28925033359E+02  0.29503265883E+02  0.41334202724E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.72565828231E+02  0.72565828231E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.21194416526E+02  0.21194416526E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.51371411705E+02  0.93760244756E+02  0.78434441135E+02 0.  0.
      -11    1    3    3    0    0 -0.16978486244E+02 -0.59715543840E+01  0.67337368938E+02  0.69701145703E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16978486244E+02  0.59715543840E+01 -0.15965957233E+02  0.24059099053E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.69460509002E+02  0.69460509002E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.23301330799E+02  0.23301330799E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.46159178203E+02  0.92761839802E+02  0.80461725006E+02 0.  0.
      -11    1    3    3    0    0  0.61099568494E+01  0.31845799658E+02  0.50532300362E+02  0.60041651447E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.61099568494E+01 -0.31845799658E+02 -0.43731221589E+01  0.32720188355E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17252936952E+02  0.17252936952E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.80674353853E+02  0.80674353853E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.63421416901E+02  0.97927290806E+02  0.74615535667E+02 0.  0.
      -11    1    3    3    0    0  0.36407124034E+02 -0.47674963323E+01 -0.23038584224E+02  0.43347249795E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36407124034E+02  0.47674963323E+01 -0.40382832677E+02  0.54580041011E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.14447778060E+04  0.14447778060E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11059526322E+01  0.11059526322E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.14436718534E+04  0.14458837587E+04  0.79946377469E+02 0.  0.
      -11    1    3    3    0    0 -0.10403394888E+02  0.12749295938E+02  0.62990937472E+02  0.65104787656E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10403394888E+02 -0.12749295938E+02  0.13806809159E+04  0.13807789710E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20330544220E+01  0.20330544220E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.84128816198E+03  0.84128816198E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.83925510756E+03  0.84332121640E+03  0.82713593029E+02 0.  0.
      -11    1    3    3    0    0 -0.10745185755E+02  0.25589393423E+02 -0.10701591729E+03  0.11055624191E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.10745185755E+02 -0.25589393423E+02 -0.73223919027E+03  0.73276497449E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15678402906E+01  0.15678402906E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.96649505808E+03  0.96649505808E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.96492721779E+03  0.96806289837E+03  0.77853963104E+02 0.  0.
      -11    1    3    3    0    0 -0.36043251736E+01 -0.27827723326E+02 -0.14698130788E+03  0.14963581861E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36043251736E+01  0.27827723326E+02 -0.81794590991E+03  0.81842707976E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.34277856592E+01  0.34277856592E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.52906762000E+03  0.52906762000E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.52563983434E+03  0.53249540566E+03  0.85171131273E+02 0.  0.
      -11    1    3    3    0    0  0.22247343961E+02  0.34208136133E+02 -0.18666024797E+03  0.19106854546E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22247343961E+02 -0.34208136133E+02 -0.33897958637E+03  0.34142686020E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.22627233180E+02  0.22627233180E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10170011365E+03  0.10170011365E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.79072880466E+02  0.12432734683E+03  0.95941486040E+02 0.  0.
      -11    1    3    3    0    0  0.74117650898E+01 -0.47349700862E+02 -0.42212256056E+02  0.63865507081E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.74117650898E+01  0.47349700862E+02 -0.36860624411E+02  0.60461839745E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.23838088063E+03  0.23838088063E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.62602647569E+01  0.62602647569E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.23212061587E+03  0.24464114539E+03  0.77261307929E+02 0.  0.
      -11    1    3    3    0    0 -0.35808842092E+02  0.80702005348E+01  0.15417924428E+03  0.15848861371E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35808842092E+02 -0.80702005348E+01  0.77941371590E+02  0.86152531675E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.80918271798E+01  0.80918271798E+01  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19752093912E+03  0.19752093912E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.18942911194E+03  0.20561276630E+03  0.79957621369E+02 0.  0.
      -11    1    3    3    0    0  0.88333622662E+01  0.38913040626E+02 -0.10104085714E+03  0.10863474505E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.88333622662E+01 -0.38913040626E+02 -0.88388254802E+02  0.96978021255E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.45092415406E+02  0.45092415406E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.35879191572E+02  0.35879191572E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.92132238345E+01  0.80971606978E+02  0.80445743474E+02 0.  0.
      -11    1    3    3    0    0 -0.53202026717E+01  0.83761522333E+01 -0.34627866474E+02  0.36021571582E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.53202026717E+01 -0.83761522333E+01  0.43841090308E+02  0.44950035396E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.52007380383E+03  0.52007380383E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.29925797295E+01  0.29925797295E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.51708122410E+03  0.52306638356E+03  0.78901516416E+02 0.  0.
      -11    1    3    3    0    0 -0.97098616056E+01 -0.37942721838E+02  0.22714322160E+03  0.23049506431E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.97098616056E+01  0.37942721838E+02  0.28993800250E+03  0.29257131925E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.65201433375E+01  0.65201433375E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.25057615846E+03  0.25057615846E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.24405601513E+03  0.25709630180E+03  0.80840397578E+02 0.  0.
      -11    1    3    3    0    0 -0.25644372776E+02 -0.26532531567E+01 -0.23023284752E+02  0.34565087128E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25644372776E+02  0.26532531567E+01 -0.22103273037E+03  0.22253121467E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.38779488139E+03  0.38779488139E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.27618023857E+01  0.27618023857E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.38503307901E+03  0.39055668378E+03  0.65452664685E+02 0.  0.
      -11    1    3    3    0    0 -0.13152807877E+02 -0.22743730769E+02  0.76085029479E+02  0.80493511261E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13152807877E+02  0.22743730769E+02  0.30894804953E+03  0.31006317252E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.10559723773E+02  0.10559723773E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15329130205E+03  0.15329130205E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.14273157828E+03  0.16385102583E+03  0.80466485108E+02 0.  0.
      -11    1    3    3    0    0  0.30231474778E+02 -0.17916699056E+02 -0.11125597342E+03  0.11667408364E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.30231474778E+02  0.17916699056E+02 -0.31475604859E+02  0.47176942181E+02  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.95716002019E+00  0.95716002019E+00  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.16294285091E+04  0.16294285091E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.16284713491E+04  0.16303856691E+04  0.78984145869E+02 0.  0.
      -11    1    3    3    0    0 -0.23503238139E+02  0.21440076982E+02 -0.33122111581E+03  0.33274540818E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23503238139E+02 -0.21440076982E+02 -0.12972502333E+04  0.12976402609E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.89620004108E+03  0.89620004108E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18637398254E+01  0.18637398254E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.89433630125E+03  0.89806378090E+03  0.81738209133E+02 0.  0.
      -11    1    3    3    0    0  0.33626490355E+02  0.12998458977E+02  0.23566114243E+03  0.23840275762E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33626490355E+02 -0.12998458977E+02  0.65867515882E+03  0.65966102328E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.12756769963E+01  0.12756769963E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.12524467612E+04  0.12524467612E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.12511710842E+04  0.12537224382E+04  0.79942917694E+02 0.  0.
      -11    1    3    3    0    0  0.75295188044E+01  0.21195695448E+02 -0.10739884595E+03  0.10972904479E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.75295188044E+01 -0.21195695448E+02 -0.11437722383E+04  0.11439933935E+04  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.18323504532E+04  0.18323504532E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.91355150227E+00  0.91355150227E+00  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00  0.18314369017E+04  0.18332640047E+04  0.81827782792E+02 0.  0.
      -11    1    3    3    0    0 -0.27170861136E+02  0.30548016922E+02  0.95120925071E+03  0.95208743069E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.27170861136E+02 -0.30548016922E+02  0.88022765095E+03  0.88117657398E+03  0.00000000000E+00 0. -1.


 5   1  0.4922600E+02  0.8040000E+02  0.7546772E-02  0.1297830E+00
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.13168463508E+02  0.13168463508E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.12037408496E+03  0.12037408496E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.00000000000E+00  0.00000000000E+00 -0.10720562145E+03  0.13354254846E+03  0.79627677225E+02 0.  0.
      -11    1    3    3    0    0 -0.18542647675E+02  0.35170669957E+02 -0.50110626903E+02  0.63967810159E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18542647675E+02 -0.35170669957E+02 -0.57094994546E+02  0.69574738305E+02  0.00000000000E+00 0. -1.

      
pythia8-8.1.86.orig/examples/main62.cmnd0000644000175000017500000000416412357054701016125 0ustar  sunsun! main62.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The settings here are illustrative, not always physics-motivated.

! 1) Settings used in the main program.
Main:timesAllowErrors = 3          ! how many aborts before run stops

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showAllSettings = off         ! list all settings
Init:showChangedParticleData = on  ! list changed particle data
Init:showAllParticleData = off     ! list all particle data
Next:numberCount = 1000            ! print message every n events
Next:numberShowLHA = 1             ! print LHA information n times
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 1           ! print event record n times
Stat:showPartonLevel = off         ! additional statistics on MPI

! 3) PDF settings. Default is to use internal PDFs
PDF:useLHAPDF = on
! some pdf sets examples: cteq61.LHpdf cteq61.LHgrid MRST2004nlo.LHgrid
PDF:LHAPDFset = MRST2001lo.LHgrid
! Allow extrapolation of PDF's beyond x and Q2 boundaries, at own risk.
! Default behaviour is to freeze PDF's at boundaries.
PDF:extrapolateLHAPDF = on

! 4) Other common settings.
6:m0 = 175.                        ! same m_t as Pythia 6.4 to compare
#ParticleDecays:limitTau0 = on      ! set long-lived particle stable ...
#ParticleDecays:tau0Max = 10        ! ... if c*tau0 > 10 mm

! 5) The number of subruns to execute.
Main:numberOfSubruns = 2

! 6) Information specific to the first subrun
Main:subrun = 1                    ! matches readFile( ..., 1)
Beams:frameType = 4                ! use LHEF input
Beams:LHEF = ttbar.lhe             ! first LHEF event file

! 7) Information specific to the second subrun
Main:subrun = 2                    ! matches readFile( ..., 2)
Beams:newLHEFsameInit = on         ! no reinitialization needed/wanted
Beams:LHEF = ttbar2.lhe            ! second LHEF event file
pythia8-8.1.86.orig/examples/main01.cc0000644000175000017500000000233012357054675015565 0ustar  sunsun// main01.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program. It fits on one slide in a talk.
// It studies the charged multiplicity distribution at the LHC.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
int main() {
  // Generator. Process selection. LHC initialization. Histogram.
  Pythia pythia;
  pythia.readString("Beams:eCM = 8000.");
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 20.");
  pythia.init();
  Hist mult("charged multiplicity", 100, -0.5, 799.5);
  // Begin event loop. Generate event. Skip if error. List first one.
  for (int iEvent = 0; iEvent < 100; ++iEvent) {
    if (!pythia.next()) continue;
    // Find number of all final charged particles and fill histogram.
    int nCharged = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
      if (pythia.event[i].isFinal() && pythia.event[i].isCharged())
        ++nCharged;
    mult.fill( nCharged );
  // End of event loop. Statistics. Histogram. Done.
  }
  pythia.stat();
  cout << mult;
  return 0;
}
pythia8-8.1.86.orig/examples/ttbar2.lhe0000644000175000017500000021350112357054721016055 0ustar  sunsun


    2212   -2212  9.800000E+02  9.800000E+02     0     0     7     7     3     2
  5.534984E+00  5.591178E-01  1.000000E+00    81
  1.886281E-01  1.333802E-01  1.000000E+00    82


     4    81  1.000000E+00  2.779475E+02  7.861651E-03  1.084400E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.0163058970E+02  3.0163058970E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.9643457592E+02  2.9643457592E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -1.3588865269E+02 -1.6715922432E+02  1.1286978960E+02  3.0000050129E+02  1.7564959199E+02 0. 9.
      -6    1    1    2    0  102  1.3588865269E+02  1.6715922432E+02 -1.0767377581E+02  2.9806466432E+02  1.7561597284E+02 0. 9.
#pdf     2   -2  3.0778631602E-01  3.0248426114E-01  2.7794748919E+02  3.1211535198E-01  3.1936736456E-01


     4    81  1.000000E+00  2.065406E+02  7.835319E-03  1.128749E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.8246988013E+02  2.8246988013E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.6014717863E+02  1.6014717863E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  9.9380529316E-01 -1.1014361322E+02  1.1397944391E+02  2.3586978951E+02  1.7467295380E+02 0. 9.
      -6    1    1    2    0  102 -9.9380529316E-01  1.1014361322E+02  8.3432575852E+00  2.0674726924E+02  1.7476332628E+02 0. 9.
#pdf     2   -2  2.8823457156E-01  1.6341548840E-01  2.0654063446E+02  3.4787465801E-01  5.0757920813E-01


     4    81  1.000000E+00  2.466246E+02  7.851027E-03  1.101832E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.4262288917E+02  1.4262288917E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -5.1352040771E+02  5.1352040771E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  1.4633881252E+02 -9.2792819649E+01 -3.2089020614E+02  4.0506735219E+02  1.7630507646E+02 0. 9.
      -6    1    1    2    0  102 -1.4633881252E+02  9.2792819649E+01 -5.0007312393E+01  2.5107594470E+02  1.7467925831E+02 0. 9.
#pdf     2   -2  1.4553356038E-01  5.2400041603E-01  2.4662464812E+02  5.2042143409E-01  8.8548750373E-02


     4    81  1.000000E+00  1.787983E+02  7.822592E-03  1.151627E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.2105865687E+02  2.2105865687E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.4507161239E+02  1.4507161239E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -3.3335800581E+01 -1.7063851964E+01  4.8249665545E+01  1.8523217100E+02  1.7487274317E+02 0. 9.
      -6    1    1    2    0  102  3.3335800581E+01  1.7063851964E+01  2.7737378934E+01  1.8089809825E+02  1.7479218837E+02 0. 9.
#pdf     2   -2  2.2557005803E-01  1.4803225754E-01  1.7879833152E+02  4.3840728875E-01  5.2548306372E-01


     4    81  1.000000E+00  1.884824E+02  7.827241E-03  1.143154E-01
      -2   -1    0    0    0  101  0.0000000000E+00  0.0000000000E+00  3.1372867160E+02  3.1372867160E+02  0.0000000000E+00 0. 9.
       2   -1    0    0  102    0  0.0000000000E+00  0.0000000000E+00 -1.8703141348E+02  1.8703141348E+02  0.0000000000E+00 0. 9.
      -6    1    1    2    0  101 -2.6234510490E+01 -6.6268526280E+01  2.2057142110E+02  2.8997172034E+02  1.7421848258E+02 0. 9.
       6    1    1    2  102    0  2.6234510490E+01  6.6268526280E+01 -9.3874162986E+01  2.1078836474E+02  1.7475585574E+02 0. 9.
#pdf    -2    2  3.2013129755E-01  1.9084838110E-01  1.8848239045E+02  8.2072137673E-03  3.0218950791E-02


     4    81  1.000000E+00  2.787868E+02  7.861920E-03  1.083968E-01
       1   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.1127258648E+02  3.1127258648E+02  0.0000000000E+00 0. 9.
      -1   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.2786592319E+02  4.2786592319E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  1.5851936067E+02 -1.4144078535E+02 -2.9637706693E+02  4.0451792069E+02  1.7510425150E+02 0. 9.
      -6    1    1    2    0  102 -1.5851936067E+02  1.4144078535E+02  1.7978373022E+02  3.3462058897E+02  1.8578176832E+02 0. 9.
#pdf     1   -1  3.1762508824E-01  4.3659788080E-01  2.7878677450E+02  1.0931248713E-01  4.6906840945E-02


     4    81  1.000000E+00  2.718222E+02  7.859669E-03  1.087607E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.9477482117E+02  1.9477482117E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.7952437379E+02  3.7952437379E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -1.5675711663E+02  1.3665944260E+02 -8.6220155043E+01  2.8531158724E+02  1.7527175988E+02 0. 9.
      -6    1    1    2    0  102  1.5675711663E+02 -1.3665944260E+02 -9.8529397579E+01  2.8898760773E+02  1.7480617371E+02 0. 9.
#pdf     2   -2  1.9874981752E-01  3.8726976918E-01  2.7182216789E+02  4.6051408027E-01  2.1165105090E-01


     4    81  1.000000E+00  2.288329E+02  7.844389E-03  1.113036E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.3779083434E+02  2.3779083434E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.4431429301E+02  2.4431429301E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  1.4681741894E+02  1.5840273796E+01 -7.8975938864E+01  2.4224390253E+02  1.7503896884E+02 0. 9.
      -6    1    1    2    0  102 -1.4681741894E+02 -1.5840273796E+01  7.2452480197E+01  2.3986122482E+02  1.7457885469E+02 0. 9.
#pdf     2   -2  2.4264370851E-01  2.4930029899E-01  2.2883285896E+02  4.0802015961E-01  3.9889356566E-01


     4    81  1.000000E+00  2.372682E+02  7.847597E-03  1.107591E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.5972833312E+02  1.5972833312E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.8250257886E+02  4.8250257886E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -1.2971169362E+02 -9.6116468150E+01  4.8862529057E+00  2.3820766554E+02  1.7508717127E+02 0. 9.
      -6    1    1    2    0  102  1.2971169362E+02  9.6116468150E+01 -3.2766049865E+02  4.0402324643E+02  1.7265538618E+02 0. 9.
#pdf     2   -2  1.6298809502E-01  4.9234957026E-01  2.3726820029E+02  5.0459197498E-01  1.1225312893E-01


     4    81  1.000000E+00  1.937876E+02  7.829690E-03  1.138745E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.5705177792E+02  2.5705177792E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.7251723234E+02  3.7251723234E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -3.3956954134E+00 -7.8930708069E+01 -3.0304848197E+02  3.5925083670E+02  1.7601475455E+02 0. 9.
      -6    1    1    2    0  102  3.3956954134E+00  7.8930708069E+01  1.8758302755E+02  2.7031817356E+02  1.7788461234E+02 0. 9.
#pdf     2   -2  2.6229773257E-01  3.8011962484E-01  1.9378764663E+02  3.8600068378E-01  2.2866960271E-01


     4    81  1.000000E+00  1.742299E+02  7.820313E-03  1.155830E-01
       1   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.5783193380E+02  1.5783193380E+02  0.0000000000E+00 0. 9.
      -1   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.0567134209E+02  2.0567134209E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -3.5199808430E+01  1.8890113877E+00 -7.0896536565E+01  1.9182093869E+02  1.7471794054E+02 0. 9.
      -6    1    1    2    0  102  3.5199808430E+01 -1.8890113877E+00  2.3057128272E+01  1.7168233721E+02  1.6643496888E+02 0. 9.
#pdf     1   -1  1.6105299368E-01  2.0986871642E-01  1.7422994485E+02  2.6092465851E-01  2.0851439895E-01


     4    81  1.000000E+00  1.933794E+02  7.829504E-03  1.139078E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.3498952048E+02  3.3498952048E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.1319148210E+02  1.1319148210E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -7.5018673184E+01 -2.7549082183E+01  1.3675440217E+02  2.3617892937E+02  1.7519122955E+02 0. 9.
      -6    1    1    2    0  102  7.5018673184E+01  2.7549082183E+01  8.5043636216E+01  2.1200207320E+02  1.7699069390E+02 0. 9.
#pdf     2   -2  3.4182604131E-01  1.1550151234E-01  1.9337939284E+02  2.7695457823E-01  5.4821153674E-01


     4    81  1.000000E+00  2.078435E+02  7.835875E-03  1.127772E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.7568770153E+02  2.7568770153E+02  0.0000000000E+00 0. 9.
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       6    1    1    2  101    0  6.9059284378E+01 -8.8347040003E+01  4.1927608723E+01  2.1258852635E+02  1.7567462232E+02 0. 9.
      -6    1    1    2    0  102 -6.9059284378E+01  8.8347040003E+01  7.6068987142E+01  2.2079028084E+02  1.7432003061E+02 0. 9.
#pdf     2   -2  2.8131398115E-01  1.6090929149E-01  2.0784346811E+02  3.5732914692E-01  5.0991944287E-01


     4    81  1.000000E+00  2.620575E+02  7.856417E-03  1.092914E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.8674172254E+02  1.8674172254E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.7368291110E+02  4.7368291110E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  9.6454412914E+01  1.6941976172E+02  1.2899760702E+01  2.6187889782E+02  1.7437787665E+02 0. 9.
      -6    1    1    2    0  102 -9.6454412914E+01 -1.6941976172E+02 -2.9984094927E+02  3.9854573582E+02  1.7586244412E+02 0. 9.
#pdf     2   -2  1.9055277810E-01  4.8334990929E-01  2.6205749558E+02  4.7145458553E-01  1.1778319099E-01


     4    81  1.000000E+00  2.289218E+02  7.844423E-03  1.112978E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.3158438516E+02  3.3158438516E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.5834891471E+02  1.5834891471E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  1.4816489683E+02  1.4413485095E+01  9.7570264713E+01  2.4933710714E+02  1.7460942482E+02 0. 9.
      -6    1    1    2    0  102 -1.4816489683E+02 -1.4413485095E+01  7.5665205738E+01  2.4059619273E+02  1.7320715744E+02 0. 9.
#pdf     2   -2  3.3835141343E-01  1.6158052521E-01  2.2892175632E+02  2.7668539818E-01  5.0688925436E-01


     4    81  1.000000E+00  2.004625E+02  7.832680E-03  1.133411E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.3933042302E+02  1.3933042302E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.0954901507E+02  3.0954901507E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  7.5345806041E+01  6.2163684216E+01 -1.4379844809E+02  2.4680161496E+02  1.7519055154E+02 0. 9.
      -6    1    1    2    0  102 -7.5345806041E+01 -6.2163684216E+01 -2.6420143961E+01  2.0207782313E+02  1.7491743329E+02 0. 9.
#pdf     2   -2  1.4217390104E-01  3.1586634191E-01  2.0046254771E+02  5.2792014530E-01  3.1064450238E-01


     4    81  1.000000E+00  2.706496E+02  7.859285E-03  1.088232E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  4.4275820512E+02  4.4275820512E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.6933769200E+02  3.6933769200E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -7.5404198737E+01  1.9368639303E+02  3.3833625448E+02  4.3254578276E+02  1.7153489747E+02 0. 9.
      -6    1    1    2    0  102  7.5404198737E+01 -1.9368639303E+02 -2.6491574137E+02  3.7955011437E+02  1.7515058453E+02 0. 9.
#pdf     2   -2  4.5179408686E-01  3.7687519592E-01  2.7064956344E+02  1.4457344456E-01  2.2394692914E-01


     4    81  1.000000E+00  2.108578E+02  7.837148E-03  1.125542E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.3234854783E+02  1.3234854783E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.4034974283E+02  3.4034974283E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -1.0426259596E+02  5.1907638019E+01 -7.6773313018E+01  2.2379677391E+02  1.7500217890E+02 0. 9.
      -6    1    1    2    0  102  1.0426259596E+02 -5.1907638019E+01 -1.3122788198E+02  2.4890151675E+02  1.7653927673E+02 0. 9.
#pdf     2   -2  1.3504953860E-01  3.4729565595E-01  2.1085784602E+02  5.3266546626E-01  2.6735756487E-01


     4    81  1.000000E+00  1.947900E+02  7.830146E-03  1.137929E-01
       1   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.0116976485E+02  1.0116976485E+02  0.0000000000E+00 0. 9.
      -1   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.9676347317E+02  4.9676347317E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -1.5362770588E+01 -8.2104022410E+01 -3.4619526945E+02  3.9749467719E+02  1.7656094865E+02 0. 9.
      -6    1    1    2    0  102  1.5362770588E+01  8.2104022410E+01 -4.9398438867E+01  2.0043856083E+02  1.7538051684E+02 0. 9.
#pdf     1   -1  1.0323445393E-01  5.0690150323E-01  1.9478996985E+02  3.2907551686E-01  2.7151826992E-02


     4    81  1.000000E+00  2.352147E+02  7.846826E-03  1.108894E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.2383022120E+02  2.2383022120E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.1923914281E+02  3.1923914281E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -9.3742032590E+01 -1.2535655069E+02  8.1228280582E+01  2.4930370453E+02  1.7621711055E+02 0. 9.
      -6    1    1    2    0  102  9.3742032590E+01  1.2535655069E+02 -1.7663720219E+02  2.9376565949E+02  1.7491634579E+02 0. 9.
#pdf     2   -2  2.2839818490E-01  3.2575422736E-01  2.3521465199E+02  4.2644183668E-01  2.9260166383E-01


     4    81  1.000000E+00  1.870843E+02  7.826585E-03  1.144342E-01
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     4    81  1.000000E+00  1.862559E+02  7.826193E-03  1.145052E-01
       1   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.9390346862E+02  1.9390346862E+02  0.0000000000E+00 0. 9.
      -1   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.5633599014E+02  4.5633599014E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -5.6709067809E+01  2.5016246969E+01  1.2211657507E+02  2.2321959692E+02  1.7627478423E+02 0. 9.
      -6    1    1    2    0  102  5.6709067809E+01 -2.5016246969E+01 -3.8454909658E+02  4.2701986185E+02  1.7500349638E+02 0. 9.
#pdf     1   -1  1.9786068227E-01  4.6564896953E-01  1.8625585262E+02  2.1979562391E-01  3.9309104447E-02


     4    81  1.000000E+00  1.769895E+02  7.821696E-03  1.153274E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  5.3572028046E+02  5.3572028046E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -6.0095765389E+01  6.0095765389E+01  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  3.1373017819E+01  1.1309671133E+00  1.8689382059E+02  2.5639343284E+02  1.7269263706E+02 0. 9.
      -6    1    1    2    0  102 -3.1373017819E+01 -1.1309671133E+00  2.8873069448E+02  3.3942261301E+02  1.7566089762E+02 0. 9.
#pdf     2   -2  5.4665334741E-01  6.1322209580E-02  1.7698953149E+02  7.8375587122E-02  5.7619972386E-01


     4    81  1.000000E+00  2.052470E+02  7.834764E-03  1.129726E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.6894264860E+02  1.6894264860E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.5094514407E+02  2.5094514407E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  9.3679253339E+01  4.9090189621E+01 -5.7738632815E+01  2.1328341919E+02  1.7598414122E+02 0. 9.
      -6    1    1    2    0  102 -9.3679253339E+01 -4.9090189621E+01 -2.4263862662E+01  2.0660437347E+02  1.7581519526E+02 0. 9.
#pdf     2   -2  1.7239045775E-01  2.5606647354E-01  2.0524704540E+02  4.9845496347E-01  3.9286515511E-01


     4    81  1.000000E+00  1.798002E+02  7.823084E-03  1.150723E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.0042479799E+02  1.0042479799E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.4332439484E+02  3.4332439484E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -4.0020056209E+01 -2.6898609229E+01 -6.6065052009E+01  1.9158792534E+02  1.7325184548E+02 0. 9.
      -6    1    1    2    0  102  4.0020056209E+01  2.6898609229E+01 -1.7683454484E+02  2.5216126749E+02  1.7317536919E+02 0. 9.
#pdf     2   -2  1.0247428366E-01  3.5033101514E-01  1.7980015380E+02  5.5685159756E-01  2.6798523074E-01


     4    81  1.000000E+00  2.860380E+02  7.864205E-03  1.080299E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.4500889680E+02  3.4500889680E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.4625967080E+02  2.4625967080E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -2.1758918001E+02 -6.7227584198E+01  1.0647243041E+02  3.0641110880E+02  1.7517645340E+02 0. 9.
      -6    1    1    2    0  102  2.1758918001E+02  6.7227584198E+01 -7.7232044115E+00  2.8485745880E+02  1.7093719494E+02 0. 9.
#pdf     2   -2  3.5204989470E-01  2.5128537837E-01  2.8603803341E+02  2.5299285932E-01  3.8954956410E-01


     4    81  1.000000E+00  2.450777E+02  7.850469E-03  1.102765E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.9706893712E+02  2.9706893712E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.0248548097E+02  2.0248548097E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  7.5976613075E+01 -1.5360356653E+02  5.6872693851E+01  2.5143336353E+02  1.7497923193E+02 0. 9.
      -6    1    1    2    0  102 -7.5976613075E+01  1.5360356653E+02  3.7710762299E+01  2.4812105455E+02  1.7542934399E+02 0. 9.
#pdf     2   -2  3.0313156849E-01  2.0661783772E-01  2.4507773166E+02  3.2212320715E-01  4.5357184183E-01


     4    81  1.000000E+00  1.879805E+02  7.827006E-03  1.143579E-01
       1   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.3779566127E+02  1.3779566127E+02  0.0000000000E+00 0. 9.
      -1   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.0023382712E+02  3.0023382712E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -6.8469970902E+01 -6.1979689317E+00 -1.6494304084E+02  2.5024724645E+02  1.7518825845E+02 0. 9.
      -6    1    1    2    0  102  6.8469970902E+01  6.1979689317E+00  2.5048749894E+00  1.8778224194E+02  1.7472648412E+02 0. 9.
#pdf     1   -1  1.4060781762E-01  3.0636104808E-01  1.8798054902E+02  2.8331102734E-01  1.2229667580E-01


     4    81  1.000000E+00  1.876697E+02  7.826860E-03  1.143843E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.3711930342E+02  3.3711930342E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.0575758503E+02  1.0575758503E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  1.4642696344E+01  6.8223417393E+01  9.0481176911E+01  2.0722542837E+02  1.7287767800E+02 0. 9.
      -6    1    1    2    0  102 -1.4642696344E+01 -6.8223417393E+01  1.4088054148E+02  2.3565146008E+02  1.7554327226E+02 0. 9.
#pdf     2   -2  3.4399928921E-01  1.0791590310E-01  1.8766968117E+02  2.7497894847E-01  5.5323675875E-01


     4    81  1.000000E+00  1.887818E+02  7.827381E-03  1.142901E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.8985424025E+02  2.8985424025E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.2398710834E+02  1.2398710834E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  7.1258640955E+01  6.4159109713E-01  6.4002525046E+01  1.9925416597E+02  1.7472176137E+02 0. 9.
      -6    1    1    2    0  102 -7.1258640955E+01 -6.4159109713E-01  1.0186460687E+02  2.1458718261E+02  1.7490870550E+02 0. 9.
#pdf     2   -2  2.9576963291E-01  1.2651745749E-01  1.8878183209E+02  3.4015851126E-01  5.4130621225E-01


     4    81  1.000000E+00  3.106445E+02  7.871560E-03  1.068674E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.5734108446E+02  3.5734108446E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -3.0967761576E+02  3.0967761576E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  9.3260781285E+01  2.3917143707E+02 -9.5471125201E+01  3.2498482938E+02  1.7492813937E+02 0. 9.
      -6    1    1    2    0  102 -9.3260781285E+01 -2.3917143707E+02  1.4313459390E+02  3.4203387085E+02  1.7492600493E+02 0. 9.
#pdf     2   -2  3.6463375966E-01  3.1599756710E-01  3.1064453996E+02  2.3525638014E-01  2.9787370233E-01


     4    81  1.000000E+00  2.306925E+02  7.845106E-03  1.111814E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.5887467035E+02  3.5887467035E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.5501950749E+02  1.5501950749E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -6.6582405450E+01  1.3596659741E+02  4.8663668521E+01  2.3636854397E+02  1.7487653821E+02 0. 9.
      -6    1    1    2    0  102  6.6582405450E+01 -1.3596659741E+02  1.5519149434E+02  2.7752563387E+02  1.7325110451E+02 0. 9.
#pdf     2   -2  3.6619864322E-01  1.5818317091E-01  2.3069245055E+02  2.4099955974E-01  5.1007461287E-01


     4    81  1.000000E+00  2.007438E+02  7.832804E-03  1.133192E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.2768697235E+02  3.2768697235E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.4095655204E+02  4.4095655204E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  3.3684902047E+01  9.4721431231E+01 -3.8312011335E+02  4.3326077927E+02  1.7557636355E+02 0. 9.
      -6    1    1    2    0  102 -3.3684902047E+01 -9.4721431231E+01  2.6985053366E+02  3.3538274512E+02  1.7191699464E+02 0. 9.
#pdf     2   -2  3.3437446158E-01  4.4995566534E-01  2.0074381286E+02  2.8569717079E-01  1.5230272573E-01


     4    81  1.000000E+00  1.914292E+02  7.828610E-03  1.140685E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.7032204160E+02  2.7032204160E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.4488484774E+02  1.4488484774E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0 -4.7828880806E+01 -4.5924141057E+01  1.1628256916E+02  2.2627629313E+02  1.8243545809E+02 0. 9.
      -6    1    1    2    0  102  4.7828880806E+01  4.5924141057E+01  9.1546247004E+00  1.8893059621E+02  1.7667578911E+02 0. 9.
#pdf     2   -2  2.7583881796E-01  1.4784168136E-01  1.9142921403E+02  3.6751303814E-01  5.2407902205E-01


     4    81  1.000000E+00  2.006447E+02  7.832761E-03  1.133269E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  9.0642848113E+01  9.0642848113E+01  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.5134335725E+02  4.5134335725E+02  0.0000000000E+00 0. 9.
       6    1    1    2  101    0  5.3033149673E+01 -7.9472874554E+01 -1.4477241363E+02  2.4623371072E+02  1.7476709014E+02 0. 9.
      -6    1    1    2    0  102 -5.3033149673E+01  7.9472874554E+01 -2.1592809551E+02  2.9575249464E+02  1.7809026616E+02 0. 9.
#pdf     2   -2  9.2492702157E-02  4.6055444618E-01  2.0064469119E+02  5.6041197383E-01  1.4239601412E-01


pythia8-8.1.86.orig/examples/main42.cmnd0000644000175000017500000000457212357054700016125 0ustar  sunsun! File: main42.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The changes here are illustrative, not always physics-motivated.

! 1) Settings that will be used in a main program.
Main:numberOfEvents = 200          ! number of events to generate
Main:timesAllowErrors = 3          ! abort run after this many flawed events

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showAllSettings = off         ! list all settings
Init:showChangedParticleData = on  ! list changed particle data
Init:showAllParticleData = off     ! list all particle data
Next:numberCount = 1000            ! print message every n events
Next:numberShowLHA = 1             ! print LHA information n times
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 1           ! print event record n times
Stat:showPartonLevel = on          ! additional statistics on MPI

! 3) Beam parameter settings. Values below agree with default ones.
Beams:idA = 2212                   ! first beam, p = 2212, pbar = -2212
Beams:idB = 2212                   ! second beam, p = 2212, pbar = -2212
Beams:eCM = 14000.                 ! CM energy of collision

! 4a) Pick processes and kinematics cuts.
! Colour singlet charmonium production of J/psi and chi_c.
Charmonium:gg2ccbar(3S1)[3S1(1)]g    = on,off
Charmonium:gg2ccbar(3PJ)[3PJ(1)]g    = on,on,on
Charmonium:qg2ccbar(3PJ)[3PJ(1)]q    = on,on,on
Charmonium:qqbar2ccbar(3PJ)[3PJ(1)]g = on,on,on
PhaseSpace:pTHatMin = 20.          ! minimum pT of hard process

! 4b) Alternative beam and process selection from a Les Houches Event File.
! NOTE: to use this option, comment out the lines in section 4a above
! and uncomment the ones below. Section 3 is ignored for frameType = 4.
#Beams:frameType = 4                ! read info from a LHEF
#Beams:LHEF = ttbar.lhe             ! the LHEF to read from

! 5) Other settings. Can be expanded as desired.
! Note: may overwrite some of the values above, so watch out.
#Tune:pp = 6                        ! use Tune 4Cx
#ParticleDecays:limitTau0 = on      ! set long-lived particle stable ...
#ParticleDecays:tau0Max = 10        ! ... if c*tau0 > 10 mm
pythia8-8.1.86.orig/examples/main62.cc0000644000175000017500000000743412357054701015574 0ustar  sunsun// main62.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Author: Mikhail Kirsanov, Mikhail.Kirsanov@cern.ch.
// This program illustrates how a file with HepMC events
// can be generated by Pythia8.
// It is similar to main42 and main61, except that it is compiled with LHAPDF
// and allows for several subruns, e.g. from related LHEF.
// Input and output files are specified on the command line, e.g. like
// ./main62.exe main62.cmnd hepmcout62.dat > out
// The main program contains no analysis; this is intended to happen later.
// It therefore "never" has to be recompiled to handle different tasks.

// WARNING: typically one needs 25 MB/100 events at the LHC.
// Therefore large event samples may be impractical.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"

using namespace Pythia8;

int main(int argc, char* argv[]) {

  // Check that correct number of command-line arguments
  if (argc != 3) {
    cerr << " Unexpected number of command-line arguments. \n You are"
         << " expected to provide one input and one output file name. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Check that the provided input name corresponds to an existing file.
  ifstream is(argv[1]);
  if (!is) {
    cerr << " Command-line file " << argv[1] << " was not found. \n"
         << " Program stopped! " << endl;
    return 1;
  }

  // Confirm that external files will be used for input and output.
  cout << "\n >>> PYTHIA settings will be read from file " << argv[1]
       << " <<< \n >>> HepMC events will be written to file "
       << argv[2] << " <<< \n" << endl;

  // Interface for conversion from Pythia8::Event to HepMC event.
  HepMC::Pythia8ToHepMC ToHepMC;

  // Specify file where HepMC events will be stored.
  HepMC::IO_GenEvent ascii_io(argv[2], std::ios::out);

  // Generator.
  Pythia pythia;

  // Read in subrun-independent commands from external file.
  pythia.readFile( argv[1]);
                          
  // Extract data to be used in main program. Set counters.
  int nSubrun = pythia.mode("Main:numberOfSubruns");
  int nAbort  = pythia.mode("Main:timesAllowErrors");
  int iAbort  = 0;

  // Begin loop over subruns.
  for (int iSubrun = 1; iSubrun <= nSubrun; ++iSubrun) {
 
    // Read in subrun-specific data from external file.
    pythia.readFile( argv[1], iSubrun);

    // Initialization.
    pythia.init();

    // Print name of Les Houches Event File.
    string lheFile = pythia.settings.word("Beams:LHEF");
    cout << "\n >>> Now begin subrun " << iSubrun
         << " with events from file " << lheFile << " <<< \n"
         << endl;

    // Begin infinite event loop - to be exited at end of file.
    for (int iEvent = 0; ; ++iEvent) {

      // Generate event.
      if (!pythia.next()) {

        // Leave event loop if at end of file.
        if (pythia.info.atEndOfFile()) break;

        // First few failures write off as "acceptable" errors, then quit.
        if (++iAbort < nAbort) continue;
        cout << " Event generation aborted prematurely, owing to error!\n";
        break;
      }

      // Construct new empty HepMC event and fill it.
      // Units will be as chosen for HepMC build, but can be changed
      // by arguments, e.g. GenEvt( HepMC::Units::GEV, HepMC::Units::MM)
      HepMC::GenEvent* hepmcevt = new HepMC::GenEvent();
      ToHepMC.fill_next_event( pythia, hepmcevt );

      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    // End of event loop.
    }
  
  // End of subrun loop.
  }

  // Statistics.
  pythia.stat();

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main11.cc0000644000175000017500000000337712357054676015603 0ustar  sunsun// main11.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how Les Houches Event File input can be used in Pythia8.
// It uses the ttsample.lhe input file, the latter only with 100 events.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
int main() {

  // Generator. We here stick with default values, but changes
  // could be inserted with readString or readFile.
  Pythia pythia;

  // Initialize Les Houches Event File run. List initialization information.
  pythia.readString("Beams:frameType = 4");
  pythia.readString("Beams:LHEF = ttbar.lhe");
  pythia.init();

  // Book histogram.
  Hist nCharged("charged particle multiplicity",100,-0.5,399.5);

  // Allow for possibility of a few faulty events.
  int nAbort = 10;
  int iAbort = 0;

  // Begin event loop; generate until none left in input file.
  for (int iEvent = 0; ; ++iEvent) {

    // Generate events, and check whether generation failed.
    if (!pythia.next()) {

      // If failure because reached end of file then exit event loop.
      if (pythia.info.atEndOfFile()) break;

      // First few failures write off as "acceptable" errors, then quit.
      if (++iAbort < nAbort) continue;
      break;
    }

    // Sum up final charged multiplicity and fill in histogram.
    int nChg = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
    if (pythia.event[i].isFinal() && pythia.event[i].isCharged())
      ++nChg;
    nCharged.fill(nChg);

  // End of event loop.
  }

  // Give statistics. Print histogram.
  pythia.stat();
  cout << nCharged;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main88.cmnd0000644000175000017500000000276712357054702016145 0ustar  sunsun! main88.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// Number of events generated
Main:numberOfEvents       = 1000

// Shower options
HadronLevel:all           = on
PartonLevel:MPI           = on

// Core process for merging
Merging:Process           = pp>LEPTONS,NEUTRINOS

// Maximal number of additional LO jets.
Merging:nJetMax           = 2
// Maximal number of additional NLO jets.
Merging:nJetMaxNLO        = 1

// Merging scale value.
Merging:TMS               = 15

// Values of (fixed) scales in the matrix element calculation.
Merging:muFacInME         = 80.4
Merging:muRenInME         = 91.188
// Values of (fixed) scales for the PS lowest multiplicity process.
Merging:muFac             = 80.4
Merging:muRen             = 91.188

// Include PDFs into the choice of histories.
Merging:includeRedundant  = on

// Switch off enforced rapidity ordering
SpaceShower:rapidityOrder = off

// Since UNLOPS is a next-to-leading order merging method, next-to-leading
// order PDFs are necessary. However, the parton shower and multiparton
// interactions favour leading-order PDFs, since multiparton interactions
// probe the incoming hadron at small momentum scales. Until a NLO-merged
// tune becomes available, NLO PDFs should be used throughout.
// Example PDF files generated with CTEQ6M PDFs
PDF:useLHAPDF             = on
PDF:LHAPDFset             = cteq6m.LHpdf
SpaceShower:alphaSvalue   = 0.118
TimeShower:alphaSvalue    = 0.118
pythia8-8.1.86.orig/examples/sps1aNarrowStopGluino.spc0000644000175000017500000013645512357054721021154 0ustar  sunsun## Important note!
## This file has been modified by hand to give the gluino, the stop_1
## and the su_L very narrow widths, such that it can be used to try out
## the R-hadron machinery. It is not a realistic SUSY scenario.
##
##******************************************************************
##                      MadGraph/MadEvent                          *
##******************************************************************
##                                                                 *
##  param_card corresponding the SPS point 1a (by SoftSusy 2.0.5)  *
##                                                                 *
##******************************************************************
## Les Houches friendly file for the (MS)SM parameters of MadGraph *
##      SM parameter set and decay widths produced by MSSMCalc     *
##******************************************************************
##*Please note the following IMPORTANT issues:                     *
##                                                                 *
##0. REFRAIN from editing this file by hand! Some of the parame-   *
##   ters are not independent. Always use a calculator.            *
##                                                                 *
##1. alpha_S(MZ) has been used in the calculation of the parameters*
##   This value is KEPT by madgraph when no pdf are used lpp(i)=0, *
##   but, for consistency, it will be reset by madgraph to the     *
##   value expected IF the pdfs for collisions with hadrons are    *
##   used.                                                         *
##                                                                 *
##2. Values of the charm and bottom kinematic (pole) masses are    *
##   those used in the matrix elements and phase space UNLESS they *
##   are set to ZERO from the start in the model (particles.dat)   *
##   This happens, for example,  when using 5-flavor QCD where     *
##   charm and bottom are treated as partons in the initial state  *
##   and a zero mass might be hardwired in the model definition.   *
##                                                                 *
##       The SUSY decays have calculated using SDECAY 1.1a         *
##                                                                 *
##******************************************************************
#
BLOCK DCINFO  # Decay Program information
     1   SDECAY      # decay calculator
     2   1.1a        # version number
#
BLOCK SPINFO  # Spectrum calculator information
     1   SOFTSUSY    # spectrum calculator                 
     2   2.0.5         # version number                    
#
BLOCK MODSEL  # Model selection
     1     1   sugra                                             
#
BLOCK SMINPUTS  # Standard Model inputs
     1     1.27934000E+02   # alpha_em^-1(M_Z)^MSbar
     2     1.16637000E-05   # G_F [GeV^-2]
     3     1.18000000E-01   # alpha_S(M_Z)^MSbar
     4     9.11876000E+01   # M_Z pole mass
     5     4.25000000E+00   # mb(mb)^MSbar
     6     1.75000000E+02   # mt pole mass
     7     1.77700000E+00   # mtau pole mass
#
BLOCK MINPAR  # Input parameters - minimal models
     1     1.00000000E+02   # m0                  
     2     2.50000000E+02   # m12                 
     3     1.00000000E+01   # tanb                
     4     1.00000000E+00   # sign(mu)            
     5    -1.00000000E+02   # A0                  
#
BLOCK MASS  # Mass Spectrum
# PDG code           mass       particle
         5     4.88991651E+00   # b-quark pole mass calculated from mb(mb)_Msbar
         6     1.75000000E+02   # mt pole mass (not read by ME)
        24     7.98290131E+01   # W+
        25     1.10899057E+02   # h
        35     3.99960116E+02   # H
        36     3.99583917E+02   # A
        37     4.07879012E+02   # H+
   1000001     5.68441109E+02   # ~d_L
   2000001     5.45228462E+02   # ~d_R
   1000002     5.61119014E+02   # ~u_L
   2000002     5.49259265E+02   # ~u_R
   1000003     5.68441109E+02   # ~s_L
   2000003     5.45228462E+02   # ~s_R
   1000004     5.61119014E+02   # ~c_L
   2000004     5.49259265E+02   # ~c_R
   1000005     5.13065179E+02   # ~b_1
   2000005     5.43726676E+02   # ~b_2
   1000006     3.99668493E+02   # ~t_1
   2000006     5.85785818E+02   # ~t_2
   1000011     2.02915690E+02   # ~e_L
   2000011     1.44102799E+02   # ~e_R
   1000012     1.85258326E+02   # ~nu_eL
   1000013     2.02915690E+02   # ~mu_L
   2000013     1.44102799E+02   # ~mu_R
   1000014     1.85258326E+02   # ~nu_muL
   1000015     1.34490864E+02   # ~tau_1
   2000015     2.06867805E+02   # ~tau_2
   1000016     1.84708464E+02   # ~nu_tauL
   1000021     6.07713704E+02   # ~g
   1000022     9.66880686E+01   # ~chi_10
   1000023     1.81088157E+02   # ~chi_20
   1000025    -3.63756027E+02   # ~chi_30
   1000035     3.81729382E+02   # ~chi_40
   1000024     1.81696474E+02   # ~chi_1+
   1000037     3.79939320E+02   # ~chi_2+
#
BLOCK NMIX  # Neutralino Mixing Matrix
  1  1     9.86364430E-01   # N_11
  1  2    -5.31103553E-02   # N_12
  1  3     1.46433995E-01   # N_13
  1  4    -5.31186117E-02   # N_14
  2  1     9.93505358E-02   # N_21
  2  2     9.44949299E-01   # N_22
  2  3    -2.69846720E-01   # N_23
  2  4     1.56150698E-01   # N_24
  3  1    -6.03388002E-02   # N_31
  3  2     8.77004854E-02   # N_32
  3  3     6.95877493E-01   # N_33
  3  4     7.10226984E-01   # N_34
  4  1    -1.16507132E-01   # N_41
  4  2     3.10739017E-01   # N_42
  4  3     6.49225960E-01   # N_43
  4  4    -6.84377823E-01   # N_44
#
BLOCK UMIX  # Chargino Mixing Matrix U
  1  1     9.16834859E-01   # U_11
  1  2    -3.99266629E-01   # U_12
  2  1     3.99266629E-01   # U_21
  2  2     9.16834859E-01   # U_22
#
BLOCK VMIX  # Chargino Mixing Matrix V
  1  1     9.72557835E-01   # V_11
  1  2    -2.32661249E-01   # V_12
  2  1     2.32661249E-01   # V_21
  2  2     9.72557835E-01   # V_22
#
BLOCK STOPMIX  # Stop Mixing Matrix
  1  1     5.53644960E-01   # O_{11}
  1  2     8.32752820E-01   # O_{12}
  2  1     8.32752820E-01   # O_{21}
  2  2    -5.53644960E-01   # O_{22}
#
BLOCK SBOTMIX  # Sbottom Mixing Matrix
  1  1     9.38737896E-01   # O_{11}
  1  2     3.44631925E-01   # O_{12}
  2  1    -3.44631925E-01   # O_{21}
  2  2     9.38737896E-01   # O_{22}
#
BLOCK STAUMIX  # Stau Mixing Matrix
  1  1     2.82487190E-01   # O_{11}
  1  2     9.59271071E-01   # O_{12}
  2  1     9.59271071E-01   # O_{21}
  2  2    -2.82487190E-01   # O_{22}
#
BLOCK ALPHA  # Higgs mixing
          -1.13825210E-01   # Mixing angle in the neutral Higgs boson sector
#
BLOCK HMIX Q=  4.67034192E+02  # DRbar Higgs Parameters
     1     3.57680977E+02   # mu(Q)MSSM DRbar     
     2     9.74862403E+00   # tan beta(Q)MSSM DRba
     3     2.44894549E+02   # higgs vev(Q)MSSM DRb
     4     1.66439065E+05   # mA^2(Q)MSSM DRbar   
#
BLOCK GAUGE Q=  4.67034192E+02  # The gauge couplings
     3     1.10178679E+00   # g3(Q) MSbar
#
BLOCK AU Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_u(Q) DRbar
  2  2     0.00000000E+00   # A_c(Q) DRbar
  3  3    -4.98129778E+02   # A_t(Q) DRbar
#
BLOCK AD Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_d(Q) DRbar
  2  2     0.00000000E+00   # A_s(Q) DRbar
  3  3    -7.97274397E+02   # A_b(Q) DRbar
#
BLOCK AE Q=  4.67034192E+02  # The trilinear couplings
  1  1     0.00000000E+00   # A_e(Q) DRbar
  2  2     0.00000000E+00   # A_mu(Q) DRbar
  3  3    -2.51776873E+02   # A_tau(Q) DRbar
#
BLOCK YU Q=  4.67034192E+02  # The Yukawa couplings
  3  3     8.92844550E-01   # y_t(Q) DRbar
#
BLOCK YD Q=  4.67034192E+02  # The Yukawa couplings
  3  3     1.38840206E-01   # y_b(Q) DRbar
#
BLOCK YE Q=  4.67034192E+02  # The Yukawa couplings
  3  3     1.00890810E-01   # y_tau(Q) DRbar
#
BLOCK MSOFT Q=  4.67034192E+02  # The soft SUSY breaking masses at the scale Q
     1     1.01396534E+02   # M_1(Q)              
     2     1.91504241E+02   # M_2(Q)              
     3     5.88263031E+02   # M_3(Q)              
    21     3.23374943E+04   # mH1^2(Q)            
    22    -1.28800134E+05   # mH2^2(Q)            
    31     1.95334764E+02   # meL(Q)              
    32     1.95334764E+02   # mmuL(Q)             
    33     1.94495956E+02   # mtauL(Q)            
    34     1.36494061E+02   # meR(Q)              
    35     1.36494061E+02   # mmuR(Q)             
    36     1.34043428E+02   # mtauR(Q)            
    41     5.47573466E+02   # mqL1(Q)             
    42     5.47573466E+02   # mqL2(Q)             
    43     4.98763839E+02   # mqL3(Q)             
    44     5.29511195E+02   # muR(Q)              
    45     5.29511195E+02   # mcR(Q)              
    46     4.23245877E+02   # mtR(Q)              
    47     5.23148807E+02   # mdR(Q)              
    48     5.23148807E+02   # msR(Q)              
    49     5.19867261E+02   # mbR(Q)              
#
#
#
#                             =================
#                             |The decay table|
#                             =================
#
# - The multi-body decays for the inos, stops and sbottoms are included.
#
#         PDG            Width
DECAY        25     1.98610799E-03   # h decays
#          BR         NDA      ID1       ID2
     1.45642955E-01    2          15       -15   # BR(H1 -> tau- tau+)
     8.19070713E-01    2           5        -5   # BR(H1 -> b bb)
     3.36338173E-02    2          24       -24   # BR(H1 -> W+ W-)
     1.65251528E-03    2          23        23   # BR(H1 -> Z Z)
#
#         PDG            Width
DECAY        35     5.74801389E-01   # H decays
#          BR         NDA      ID1       ID2
     1.39072676E-01    2          15       -15   # BR(H -> tau- tau+)
     4.84110879E-02    2           6        -6   # BR(H -> t tb)
     7.89500067E-01    2           5        -5   # BR(H -> b bb)
     3.87681171E-03    2          24       -24   # BR(H -> W+ W-)
     1.80454752E-03    2          23        23   # BR(H -> Z Z)
     0.00000000E+00    2          24       -37   # BR(H -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(H -> W- H+)
     0.00000000E+00    2          37       -37   # BR(H -> H+ H-)
     1.73348101E-02    2          25        25   # BR(H -> h h)
     0.00000000E+00    2          36        36   # BR(H -> A A)
#
#         PDG            Width
DECAY        36     6.32178488E-01   # A decays
#          BR         NDA      ID1       ID2
     1.26659725E-01    2          15       -15   # BR(A -> tau- tau+)
     1.51081526E-01    2           6        -6   # BR(A -> t tb)
     7.19406137E-01    2           5        -5   # BR(A -> b bb)
     2.85261228E-03    2          23        25   # BR(A -> Z h)
     0.00000000E+00    2          23        35   # BR(A -> Z H)
     0.00000000E+00    2          24       -37   # BR(A -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(A -> W- H+)
#
#         PDG            Width
DECAY        37     5.46962813E-01   # H+ decays
#          BR         NDA      ID1       ID2
     1.49435135E-01    2         -15        16   # BR(H+ -> tau+ nu_tau)
     8.46811711E-01    2           6        -5   # BR(H+ -> t bb)
     3.75315387E-03    2          24        25   # BR(H+ -> W+ h)
     0.00000000E+00    2          24        35   # BR(H+ -> W+ H)
     0.00000000E+00    2          24        36   # BR(H+ -> W+ A)
#
#         PDG            Width
DECAY   1000021     0.01E+00   # gluino decays
#          BR         NDA      ID1       ID2
     2.08454202E-02    2     1000001        -1   # BR(~g -> ~d_L  db)
     2.08454202E-02    2    -1000001         1   # BR(~g -> ~d_L* d )
     5.07075274E-02    2     2000001        -1   # BR(~g -> ~d_R  db)
     5.07075274E-02    2    -2000001         1   # BR(~g -> ~d_R* d )
     2.89787767E-02    2     1000002        -2   # BR(~g -> ~u_L  ub)
     2.89787767E-02    2    -1000002         2   # BR(~g -> ~u_L* u )
     4.46872773E-02    2     2000002        -2   # BR(~g -> ~u_R  ub)
     4.46872773E-02    2    -2000002         2   # BR(~g -> ~u_R* u )
     2.08454202E-02    2     1000003        -3   # BR(~g -> ~s_L  sb)
     2.08454202E-02    2    -1000003         3   # BR(~g -> ~s_L* s )
     5.07075274E-02    2     2000003        -3   # BR(~g -> ~s_R  sb)
     5.07075274E-02    2    -2000003         3   # BR(~g -> ~s_R* s )
     2.89787767E-02    2     1000004        -4   # BR(~g -> ~c_L  cb)
     2.89787767E-02    2    -1000004         4   # BR(~g -> ~c_L* c )
     4.46872773E-02    2     2000004        -4   # BR(~g -> ~c_R  cb)
     4.46872773E-02    2    -2000004         4   # BR(~g -> ~c_R* c )
     1.05840237E-01    2     1000005        -5   # BR(~g -> ~b_1  bb)
     1.05840237E-01    2    -1000005         5   # BR(~g -> ~b_1* b )
     5.56574805E-02    2     2000005        -5   # BR(~g -> ~b_2  bb)
     5.56574805E-02    2    -2000005         5   # BR(~g -> ~b_2* b )
     4.80642793E-02    2     1000006        -6   # BR(~g -> ~t_1  tb)
     4.80642793E-02    2    -1000006         6   # BR(~g -> ~t_1* t )
     0.00000000E+00    2     2000006        -6   # BR(~g -> ~t_2  tb)
     0.00000000E+00    2    -2000006         6   # BR(~g -> ~t_2* t )
#
#         PDG            Width
DECAY   1000006     0.01E+00   # stop1 decays
#          BR         NDA      ID1       ID2
     1.92947616E-01    2     1000022         6   # BR(~t_1 -> ~chi_10 t )
     1.17469211E-01    2     1000023         6   # BR(~t_1 -> ~chi_20 t )
     0.00000000E+00    2     1000025         6   # BR(~t_1 -> ~chi_30 t )
     0.00000000E+00    2     1000035         6   # BR(~t_1 -> ~chi_40 t )
     6.75747693E-01    2     1000024         5   # BR(~t_1 -> ~chi_1+ b )
     1.38354802E-02    2     1000037         5   # BR(~t_1 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_1 -> ~g      t )
     0.00000000E+00    2     1000005        37   # BR(~t_1 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_1 -> ~b_2    H+)
     0.00000000E+00    2     1000005        24   # BR(~t_1 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_1 -> ~b_2    W+)
#
#         PDG            Width
DECAY   2000006     7.37313275E+00   # stop2 decays
#          BR         NDA      ID1       ID2
     2.96825635E-02    2     1000022         6   # BR(~t_2 -> ~chi_10 t )
     8.68035358E-02    2     1000023         6   # BR(~t_2 -> ~chi_20 t )
     4.18408351E-02    2     1000025         6   # BR(~t_2 -> ~chi_30 t )
     1.93281647E-01    2     1000035         6   # BR(~t_2 -> ~chi_40 t )
     2.19632356E-01    2     1000024         5   # BR(~t_2 -> ~chi_1+ b )
     2.02206148E-01    2     1000037         5   # BR(~t_2 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_2 -> ~g      t )
     3.66397706E-02    2     1000006        25   # BR(~t_2 -> ~t_1    h )
     0.00000000E+00    2     1000006        35   # BR(~t_2 -> ~t_1    H )
     0.00000000E+00    2     1000006        36   # BR(~t_2 -> ~t_1    A )
     0.00000000E+00    2     1000005        37   # BR(~t_2 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_2 -> ~b_2    H+)
     1.89913144E-01    2     1000006        23   # BR(~t_2 -> ~t_1    Z )
     0.00000000E+00    2     1000005        24   # BR(~t_2 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_2 -> ~b_2    W+)
#
#         PDG            Width
DECAY   1000005     3.73627601E+00   # sbottom1 decays
#          BR         NDA      ID1       ID2
     4.43307074E-02    2     1000022         5   # BR(~b_1 -> ~chi_10 b )
     3.56319904E-01    2     1000023         5   # BR(~b_1 -> ~chi_20 b )
     5.16083795E-03    2     1000025         5   # BR(~b_1 -> ~chi_30 b )
     1.04105080E-02    2     1000035         5   # BR(~b_1 -> ~chi_40 b )
     4.45830064E-01    2    -1000024         6   # BR(~b_1 -> ~chi_1- t )
     0.00000000E+00    2    -1000037         6   # BR(~b_1 -> ~chi_2- t )
     0.00000000E+00    2     1000021         5   # BR(~b_1 -> ~g      b )
     0.00000000E+00    2     1000006       -37   # BR(~b_1 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_1 -> ~t_2    H-)
     1.37947979E-01    2     1000006       -24   # BR(~b_1 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_1 -> ~t_2    W-)
#
#         PDG            Width
DECAY   2000005     8.01566294E-01   # sbottom2 decays
#          BR         NDA      ID1       ID2
     2.86200590E-01    2     1000022         5   # BR(~b_2 -> ~chi_10 b )
     1.40315912E-01    2     1000023         5   # BR(~b_2 -> ~chi_20 b )
     5.32635592E-02    2     1000025         5   # BR(~b_2 -> ~chi_30 b )
     7.48748121E-02    2     1000035         5   # BR(~b_2 -> ~chi_40 b )
     1.79734294E-01    2    -1000024         6   # BR(~b_2 -> ~chi_1- t )
     0.00000000E+00    2    -1000037         6   # BR(~b_2 -> ~chi_2- t )
     0.00000000E+00    2     1000021         5   # BR(~b_2 -> ~g      b )
     0.00000000E+00    2     1000005        25   # BR(~b_2 -> ~b_1    h )
     0.00000000E+00    2     1000005        35   # BR(~b_2 -> ~b_1    H )
     0.00000000E+00    2     1000005        36   # BR(~b_2 -> ~b_1    A )
     0.00000000E+00    2     1000006       -37   # BR(~b_2 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_2 -> ~t_2    H-)
     0.00000000E+00    2     1000005        23   # BR(~b_2 -> ~b_1    Z )
     2.65610832E-01    2     1000006       -24   # BR(~b_2 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_2 -> ~t_2    W-)
#
#         PDG            Width
DECAY   1000002     0.01E+00   # sup_L decays
#          BR         NDA      ID1       ID2
     6.65240987E-03    2     1000022         2   # BR(~u_L -> ~chi_10 u)
     3.19051458E-01    2     1000023         2   # BR(~u_L -> ~chi_20 u)
     8.44929059E-04    2     1000025         2   # BR(~u_L -> ~chi_30 u)
     1.03485173E-02    2     1000035         2   # BR(~u_L -> ~chi_40 u)
     6.49499518E-01    2     1000024         1   # BR(~u_L -> ~chi_1+ d)
     1.36031676E-02    2     1000037         1   # BR(~u_L -> ~chi_2+ d)
     0.00000000E+00    2     1000021         2   # BR(~u_L -> ~g      u)
#
#         PDG            Width
DECAY   2000002     1.15297292E+00   # sup_R decays
#          BR         NDA      ID1       ID2
     9.86377420E-01    2     1000022         2   # BR(~u_R -> ~chi_10 u)
     8.46640647E-03    2     1000023         2   # BR(~u_R -> ~chi_20 u)
     1.23894695E-03    2     1000025         2   # BR(~u_R -> ~chi_30 u)
     3.91722611E-03    2     1000035         2   # BR(~u_R -> ~chi_40 u)
     0.00000000E+00    2     1000024         1   # BR(~u_R -> ~chi_1+ d)
     0.00000000E+00    2     1000037         1   # BR(~u_R -> ~chi_2+ d)
     0.00000000E+00    2     1000021         2   # BR(~u_R -> ~g      u)
#
#         PDG            Width
DECAY   1000001     5.31278772E+00   # sdown_L decays
#          BR         NDA      ID1       ID2
     2.32317969E-02    2     1000022         1   # BR(~d_L -> ~chi_10 d)
     3.10235077E-01    2     1000023         1   # BR(~d_L -> ~chi_20 d)
     1.52334771E-03    2     1000025         1   # BR(~d_L -> ~chi_30 d)
     1.48849798E-02    2     1000035         1   # BR(~d_L -> ~chi_40 d)
     6.06452481E-01    2    -1000024         2   # BR(~d_L -> ~chi_1- u)
     4.36723179E-02    2    -1000037         2   # BR(~d_L -> ~chi_2- u)
     0.00000000E+00    2     1000021         1   # BR(~d_L -> ~g      d)
#
#         PDG            Width
DECAY   2000001     2.85812308E-01   # sdown_R decays
#          BR         NDA      ID1       ID2
     9.86529614E-01    2     1000022         1   # BR(~d_R -> ~chi_10 d)
     8.44510350E-03    2     1000023         1   # BR(~d_R -> ~chi_20 d)
     1.21172119E-03    2     1000025         1   # BR(~d_R -> ~chi_30 d)
     3.81356102E-03    2     1000035         1   # BR(~d_R -> ~chi_40 d)
     0.00000000E+00    2    -1000024         2   # BR(~d_R -> ~chi_1- u)
     0.00000000E+00    2    -1000037         2   # BR(~d_R -> ~chi_2- u)
     0.00000000E+00    2     1000021         1   # BR(~d_R -> ~g      d)
#
#         PDG            Width
DECAY   1000004     5.47719539E+00   # scharm_L decays
#          BR         NDA      ID1       ID2
     6.65240987E-03    2     1000022         4   # BR(~c_L -> ~chi_10 c)
     3.19051458E-01    2     1000023         4   # BR(~c_L -> ~chi_20 c)
     8.44929059E-04    2     1000025         4   # BR(~c_L -> ~chi_30 c)
     1.03485173E-02    2     1000035         4   # BR(~c_L -> ~chi_40 c)
     6.49499518E-01    2     1000024         3   # BR(~c_L -> ~chi_1+ s)
     1.36031676E-02    2     1000037         3   # BR(~c_L -> ~chi_2+ s)
     0.00000000E+00    2     1000021         4   # BR(~c_L -> ~g      c)
#
#         PDG            Width
DECAY   2000004     1.15297292E+00   # scharm_R decays
#          BR         NDA      ID1       ID2
     9.86377420E-01    2     1000022         4   # BR(~c_R -> ~chi_10 c)
     8.46640647E-03    2     1000023         4   # BR(~c_R -> ~chi_20 c)
     1.23894695E-03    2     1000025         4   # BR(~c_R -> ~chi_30 c)
     3.91722611E-03    2     1000035         4   # BR(~c_R -> ~chi_40 c)
     0.00000000E+00    2     1000024         3   # BR(~c_R -> ~chi_1+ s)
     0.00000000E+00    2     1000037         3   # BR(~c_R -> ~chi_2+ s)
     0.00000000E+00    2     1000021         4   # BR(~c_R -> ~g      c)
#
#         PDG            Width
DECAY   1000003     5.31278772E+00   # sstrange_L decays
#          BR         NDA      ID1       ID2
     2.32317969E-02    2     1000022         3   # BR(~s_L -> ~chi_10 s)
     3.10235077E-01    2     1000023         3   # BR(~s_L -> ~chi_20 s)
     1.52334771E-03    2     1000025         3   # BR(~s_L -> ~chi_30 s)
     1.48849798E-02    2     1000035         3   # BR(~s_L -> ~chi_40 s)
     6.06452481E-01    2    -1000024         4   # BR(~s_L -> ~chi_1- c)
     4.36723179E-02    2    -1000037         4   # BR(~s_L -> ~chi_2- c)
     0.00000000E+00    2     1000021         3   # BR(~s_L -> ~g      s)
#
#         PDG            Width
DECAY   2000003     2.85812308E-01   # sstrange_R decays
#          BR         NDA      ID1       ID2
     9.86529614E-01    2     1000022         3   # BR(~s_R -> ~chi_10 s)
     8.44510350E-03    2     1000023         3   # BR(~s_R -> ~chi_20 s)
     1.21172119E-03    2     1000025         3   # BR(~s_R -> ~chi_30 s)
     3.81356102E-03    2     1000035         3   # BR(~s_R -> ~chi_40 s)
     0.00000000E+00    2    -1000024         4   # BR(~s_R -> ~chi_1- c)
     0.00000000E+00    2    -1000037         4   # BR(~s_R -> ~chi_2- c)
     0.00000000E+00    2     1000021         3   # BR(~s_R -> ~g      s)
#
#         PDG            Width
DECAY   1000011     2.13682161E-01   # selectron_L decays
#          BR         NDA      ID1       ID2
     5.73155386E-01    2     1000022        11   # BR(~e_L -> ~chi_10 e-)
     1.64522579E-01    2     1000023        11   # BR(~e_L -> ~chi_20 e-)
     0.00000000E+00    2     1000025        11   # BR(~e_L -> ~chi_30 e-)
     0.00000000E+00    2     1000035        11   # BR(~e_L -> ~chi_40 e-)
     2.62322035E-01    2    -1000024        12   # BR(~e_L -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_L -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   2000011     2.16121626E-01   # selectron_R decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        11   # BR(~e_R -> ~chi_10 e-)
     0.00000000E+00    2     1000023        11   # BR(~e_R -> ~chi_20 e-)
     0.00000000E+00    2     1000025        11   # BR(~e_R -> ~chi_30 e-)
     0.00000000E+00    2     1000035        11   # BR(~e_R -> ~chi_40 e-)
     0.00000000E+00    2    -1000024        12   # BR(~e_R -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_R -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   1000013     2.13682161E-01   # smuon_L decays
#          BR         NDA      ID1       ID2
     5.73155386E-01    2     1000022        13   # BR(~mu_L -> ~chi_10 mu-)
     1.64522579E-01    2     1000023        13   # BR(~mu_L -> ~chi_20 mu-)
     0.00000000E+00    2     1000025        13   # BR(~mu_L -> ~chi_30 mu-)
     0.00000000E+00    2     1000035        13   # BR(~mu_L -> ~chi_40 mu-)
     2.62322035E-01    2    -1000024        14   # BR(~mu_L -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_L -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   2000013     2.16121626E-01   # smuon_R decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        13   # BR(~mu_R -> ~chi_10 mu-)
     0.00000000E+00    2     1000023        13   # BR(~mu_R -> ~chi_20 mu-)
     0.00000000E+00    2     1000025        13   # BR(~mu_R -> ~chi_30 mu-)
     0.00000000E+00    2     1000035        13   # BR(~mu_R -> ~chi_40 mu-)
     0.00000000E+00    2    -1000024        14   # BR(~mu_R -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_R -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   1000015     1.48327268E-01   # stau_1 decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        15   # BR(~tau_1 -> ~chi_10  tau-)
     0.00000000E+00    2     1000023        15   # BR(~tau_1 -> ~chi_20  tau-)
     0.00000000E+00    2     1000025        15   # BR(~tau_1 -> ~chi_30  tau-)
     0.00000000E+00    2     1000035        15   # BR(~tau_1 -> ~chi_40  tau-)
     0.00000000E+00    2    -1000024        16   # BR(~tau_1 -> ~chi_1-  nu_tau)
     0.00000000E+00    2    -1000037        16   # BR(~tau_1 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_1 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_1 -> ~nu_tauL W-)
#
#         PDG            Width
DECAY   2000015     2.69906096E-01   # stau_2 decays
#          BR         NDA      ID1       ID2
     5.96653046E-01    2     1000022        15   # BR(~tau_2 -> ~chi_10  tau-)
     1.54536760E-01    2     1000023        15   # BR(~tau_2 -> ~chi_20  tau-)
     0.00000000E+00    2     1000025        15   # BR(~tau_2 -> ~chi_30  tau-)
     0.00000000E+00    2     1000035        15   # BR(~tau_2 -> ~chi_40  tau-)
     2.48810195E-01    2    -1000024        16   # BR(~tau_2 -> ~chi_1-  nu_tau)
     0.00000000E+00    2    -1000037        16   # BR(~tau_2 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_2 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_2 -> ~nu_tauL W-)
     0.00000000E+00    2     1000015        25   # BR(~tau_2 -> ~tau_1 h)
     0.00000000E+00    2     1000015        35   # BR(~tau_2 -> ~tau_1 H)
     0.00000000E+00    2     1000015        36   # BR(~tau_2 -> ~tau_1 A)
     0.00000000E+00    2     1000015        23   # BR(~tau_2 -> ~tau_1 Z)
#
#         PDG            Width
DECAY   1000012     1.49881634E-01   # snu_eL decays
#          BR         NDA      ID1       ID2
     9.77700764E-01    2     1000022        12   # BR(~nu_eL -> ~chi_10 nu_e)
     8.11554922E-03    2     1000023        12   # BR(~nu_eL -> ~chi_20 nu_e)
     0.00000000E+00    2     1000025        12   # BR(~nu_eL -> ~chi_30 nu_e)
     0.00000000E+00    2     1000035        12   # BR(~nu_eL -> ~chi_40 nu_e)
     1.41836867E-02    2     1000024        11   # BR(~nu_eL -> ~chi_1+ e-)
     0.00000000E+00    2     1000037        11   # BR(~nu_eL -> ~chi_2+ e-)
#
#         PDG            Width
DECAY   1000014     1.49881634E-01   # snu_muL decays
#          BR         NDA      ID1       ID2
     9.77700764E-01    2     1000022        14   # BR(~nu_muL -> ~chi_10 nu_mu)
     8.11554922E-03    2     1000023        14   # BR(~nu_muL -> ~chi_20 nu_mu)
     0.00000000E+00    2     1000025        14   # BR(~nu_muL -> ~chi_30 nu_mu)
     0.00000000E+00    2     1000035        14   # BR(~nu_muL -> ~chi_40 nu_mu)
     1.41836867E-02    2     1000024        13   # BR(~nu_muL -> ~chi_1+ mu-)
     0.00000000E+00    2     1000037        13   # BR(~nu_muL -> ~chi_2+ mu-)
#
#         PDG            Width
DECAY   1000016     1.47518977E-01   # snu_tauL decays
#          BR         NDA      ID1       ID2
     9.85994529E-01    2     1000022        16   # BR(~nu_tauL -> ~chi_10 nu_tau)
     6.25129612E-03    2     1000023        16   # BR(~nu_tauL -> ~chi_20 nu_tau)
     0.00000000E+00    2     1000025        16   # BR(~nu_tauL -> ~chi_30 nu_tau)
     0.00000000E+00    2     1000035        16   # BR(~nu_tauL -> ~chi_40 nu_tau)
     7.75417479E-03    2     1000024        15   # BR(~nu_tauL -> ~chi_1+ tau-)
     0.00000000E+00    2     1000037        15   # BR(~nu_tauL -> ~chi_2+ tau-)
     0.00000000E+00    2    -1000015       -37   # BR(~nu_tauL -> ~tau_1+ H-)
     0.00000000E+00    2    -2000015       -37   # BR(~nu_tauL -> ~tau_2+ H-)
     0.00000000E+00    2    -1000015       -24   # BR(~nu_tauL -> ~tau_1+ W-)
     0.00000000E+00    2    -2000015       -24   # BR(~nu_tauL -> ~tau_2+ W-)
#
#         PDG            Width
DECAY   1000024     1.70414503E-02   # chargino1+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_1+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_1+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_1+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_1+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_1+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_1+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_1+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_1+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_1+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_1+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_1+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_1+ -> ~b_2*  t )
     0.00000000E+00    2     1000012       -11   # BR(~chi_1+ -> ~nu_eL  e+  )
     0.00000000E+00    2     1000014       -13   # BR(~chi_1+ -> ~nu_muL  mu+ )
     0.00000000E+00    2     1000016       -15   # BR(~chi_1+ -> ~nu_tau1 tau+)
     0.00000000E+00    2    -1000011        12   # BR(~chi_1+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_1+ -> ~e_R+    nu_e)
     0.00000000E+00    2    -1000013        14   # BR(~chi_1+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_1+ -> ~mu_R+   nu_mu)
     9.25161117E-01    2    -1000015        16   # BR(~chi_1+ -> ~tau_1+  nu_tau)
     0.00000000E+00    2    -2000015        16   # BR(~chi_1+ -> ~tau_2+  nu_tau)
     7.48388828E-02    2     1000022        24   # BR(~chi_1+ -> ~chi_10  W+)
     0.00000000E+00    2     1000023        24   # BR(~chi_1+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_1+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_1+ -> ~chi_40  W+)
     0.00000000E+00    2     1000022        37   # BR(~chi_1+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_1+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_1+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_1+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000037     2.48689510E+00   # chargino2+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_2+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_2+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_2+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_2+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_2+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_2+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_2+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_2+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_2+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_2+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_2+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_2+ -> ~b_2*  t )
     2.00968837E-02    2     1000012       -11   # BR(~chi_2+ -> ~nu_eL  e+  )
     2.00968837E-02    2     1000014       -13   # BR(~chi_2+ -> ~nu_muL  mu+ )
     2.74507395E-02    2     1000016       -15   # BR(~chi_2+ -> ~nu_tau1 tau+)
     5.20406111E-02    2    -1000011        12   # BR(~chi_2+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_2+ -> ~e_R+    nu_e)
     5.20406111E-02    2    -1000013        14   # BR(~chi_2+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_2+ -> ~mu_R+   nu_mu)
     2.82859898E-04    2    -1000015        16   # BR(~chi_2+ -> ~tau_1+  nu_tau)
     5.66729336E-02    2    -2000015        16   # BR(~chi_2+ -> ~tau_2+  nu_tau)
     2.31513269E-01    2     1000024        23   # BR(~chi_2+ -> ~chi_1+  Z )
     6.76715120E-02    2     1000022        24   # BR(~chi_2+ -> ~chi_10  W+)
     2.93654849E-01    2     1000023        24   # BR(~chi_2+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_2+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_2+ -> ~chi_40  W+)
     1.78478848E-01    2     1000024        25   # BR(~chi_2+ -> ~chi_1+  h )
     0.00000000E+00    2     1000024        35   # BR(~chi_2+ -> ~chi_1+  H )
     0.00000000E+00    2     1000024        36   # BR(~chi_2+ -> ~chi_1+  A )
     0.00000000E+00    2     1000022        37   # BR(~chi_2+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_2+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_2+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_2+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000022     0.00000000E+00   # neutralino1 decays
#
#         PDG            Width
DECAY   1000023     2.07770048E-02   # neutralino2 decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000022        23   # BR(~chi_20 -> ~chi_10   Z )
     0.00000000E+00    2     1000024       -24   # BR(~chi_20 -> ~chi_1+   W-)
     0.00000000E+00    2    -1000024        24   # BR(~chi_20 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_20 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_20 -> ~chi_2-   W+)
     0.00000000E+00    2     1000022        25   # BR(~chi_20 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_20 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_20 -> ~chi_10   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_20 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_20 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_20 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_20 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_20 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_20 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_20 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_20 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_20 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_20 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_20 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_20 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_20 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_20 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_20 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_20 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_20 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_20 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_20 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_20 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_20 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_20 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_20 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_20 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_20 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_20 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_20 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_20 -> ~b_2*     b )
     0.00000000E+00    2     1000011       -11   # BR(~chi_20 -> ~e_L-     e+)
     0.00000000E+00    2    -1000011        11   # BR(~chi_20 -> ~e_L+     e-)
     2.95071995E-02    2     2000011       -11   # BR(~chi_20 -> ~e_R-     e+)
     2.95071995E-02    2    -2000011        11   # BR(~chi_20 -> ~e_R+     e-)
     0.00000000E+00    2     1000013       -13   # BR(~chi_20 -> ~mu_L-    mu+)
     0.00000000E+00    2    -1000013        13   # BR(~chi_20 -> ~mu_L+    mu-)
     2.95071995E-02    2     2000013       -13   # BR(~chi_20 -> ~mu_R-    mu+)
     2.95071995E-02    2    -2000013        13   # BR(~chi_20 -> ~mu_R+    mu-)
     4.40985601E-01    2     1000015       -15   # BR(~chi_20 -> ~tau_1-   tau+)
     4.40985601E-01    2    -1000015        15   # BR(~chi_20 -> ~tau_1+   tau-)
     0.00000000E+00    2     2000015       -15   # BR(~chi_20 -> ~tau_2-   tau+)
     0.00000000E+00    2    -2000015        15   # BR(~chi_20 -> ~tau_2+   tau-)
     0.00000000E+00    2     1000012       -12   # BR(~chi_20 -> ~nu_eL    nu_eb)
     0.00000000E+00    2    -1000012        12   # BR(~chi_20 -> ~nu_eL*   nu_e )
     0.00000000E+00    2     1000014       -14   # BR(~chi_20 -> ~nu_muL   nu_mub)
     0.00000000E+00    2    -1000014        14   # BR(~chi_20 -> ~nu_muL*  nu_mu )
     0.00000000E+00    2     1000016       -16   # BR(~chi_20 -> ~nu_tau1  nu_taub)
     0.00000000E+00    2    -1000016        16   # BR(~chi_20 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000025     1.91598495E+00   # neutralino3 decays
#          BR         NDA      ID1       ID2
     1.13226601E-01    2     1000022        23   # BR(~chi_30 -> ~chi_10   Z )
     2.11969194E-01    2     1000023        23   # BR(~chi_30 -> ~chi_20   Z )
     2.95329778E-01    2     1000024       -24   # BR(~chi_30 -> ~chi_1+   W-)
     2.95329778E-01    2    -1000024        24   # BR(~chi_30 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_30 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_30 -> ~chi_2-   W+)
     2.13076490E-02    2     1000022        25   # BR(~chi_30 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_30 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_30 -> ~chi_10   A )
     1.24538329E-02    2     1000023        25   # BR(~chi_30 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_30 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_30 -> ~chi_20   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_30 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_30 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_30 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_30 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_30 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_30 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_30 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_30 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_30 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_30 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_30 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_30 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_30 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_30 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_30 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_30 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_30 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_30 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_30 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_30 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_30 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_30 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_30 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_30 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_30 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_30 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_30 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_30 -> ~b_2*     b )
     5.57220455E-04    2     1000011       -11   # BR(~chi_30 -> ~e_L-     e+)
     5.57220455E-04    2    -1000011        11   # BR(~chi_30 -> ~e_L+     e-)
     1.25266782E-03    2     2000011       -11   # BR(~chi_30 -> ~e_R-     e+)
     1.25266782E-03    2    -2000011        11   # BR(~chi_30 -> ~e_R+     e-)
     5.57220455E-04    2     1000013       -13   # BR(~chi_30 -> ~mu_L-    mu+)
     5.57220455E-04    2    -1000013        13   # BR(~chi_30 -> ~mu_L+    mu-)
     1.25266782E-03    2     2000013       -13   # BR(~chi_30 -> ~mu_R-    mu+)
     1.25266782E-03    2    -2000013        13   # BR(~chi_30 -> ~mu_R+    mu-)
     5.26279239E-03    2     1000015       -15   # BR(~chi_30 -> ~tau_1-   tau+)
     5.26279239E-03    2    -1000015        15   # BR(~chi_30 -> ~tau_1+   tau-)
     6.72814564E-03    2     2000015       -15   # BR(~chi_30 -> ~tau_2-   tau+)
     6.72814564E-03    2    -2000015        15   # BR(~chi_30 -> ~tau_2+   tau-)
     3.18920485E-03    2     1000012       -12   # BR(~chi_30 -> ~nu_eL    nu_eb)
     3.18920485E-03    2    -1000012        12   # BR(~chi_30 -> ~nu_eL*   nu_e )
     3.18920485E-03    2     1000014       -14   # BR(~chi_30 -> ~nu_muL   nu_mub)
     3.18920485E-03    2    -1000014        14   # BR(~chi_30 -> ~nu_muL*  nu_mu )
     3.20245934E-03    2     1000016       -16   # BR(~chi_30 -> ~nu_tau1  nu_taub)
     3.20245934E-03    2    -1000016        16   # BR(~chi_30 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000035     2.58585079E+00   # neutralino4 decays
#          BR         NDA      ID1       ID2
     2.15369294E-02    2     1000022        23   # BR(~chi_40 -> ~chi_10   Z )
     1.85499971E-02    2     1000023        23   # BR(~chi_40 -> ~chi_20   Z )
     0.00000000E+00    2     1000025        23   # BR(~chi_40 -> ~chi_30   Z )
     2.49541430E-01    2     1000024       -24   # BR(~chi_40 -> ~chi_1+   W-)
     2.49541430E-01    2    -1000024        24   # BR(~chi_40 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_40 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_40 -> ~chi_2-   W+)
     6.93213268E-02    2     1000022        25   # BR(~chi_40 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_40 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_40 -> ~chi_10   A )
     1.47602336E-01    2     1000023        25   # BR(~chi_40 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_40 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_40 -> ~chi_20   A )
     0.00000000E+00    2     1000025        25   # BR(~chi_40 -> ~chi_30   h )
     0.00000000E+00    2     1000025        35   # BR(~chi_40 -> ~chi_30   H )
     0.00000000E+00    2     1000025        36   # BR(~chi_40 -> ~chi_30   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_40 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_40 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_40 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_40 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_40 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_40 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_40 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_40 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_40 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_40 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_40 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_40 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_40 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_40 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_40 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_40 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_40 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_40 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_40 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_40 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_40 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_40 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_40 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_40 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_40 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_40 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_40 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_40 -> ~b_2*     b )
     9.64835418E-03    2     1000011       -11   # BR(~chi_40 -> ~e_L-     e+)
     9.64835418E-03    2    -1000011        11   # BR(~chi_40 -> ~e_L+     e-)
     3.75684470E-03    2     2000011       -11   # BR(~chi_40 -> ~e_R-     e+)
     3.75684470E-03    2    -2000011        11   # BR(~chi_40 -> ~e_R+     e-)
     9.64835418E-03    2     1000013       -13   # BR(~chi_40 -> ~mu_L-    mu+)
     9.64835418E-03    2    -1000013        13   # BR(~chi_40 -> ~mu_L+    mu-)
     3.75684470E-03    2     2000013       -13   # BR(~chi_40 -> ~mu_R-    mu+)
     3.75684470E-03    2    -2000013        13   # BR(~chi_40 -> ~mu_R+    mu-)
     2.68215241E-03    2     1000015       -15   # BR(~chi_40 -> ~tau_1-   tau+)
     2.68215241E-03    2    -1000015        15   # BR(~chi_40 -> ~tau_1+   tau-)
     1.62289809E-02    2     2000015       -15   # BR(~chi_40 -> ~tau_2-   tau+)
     1.62289809E-02    2    -2000015        15   # BR(~chi_40 -> ~tau_2+   tau-)
     2.53796547E-02    2     1000012       -12   # BR(~chi_40 -> ~nu_eL    nu_eb)
     2.53796547E-02    2    -1000012        12   # BR(~chi_40 -> ~nu_eL*   nu_e )
     2.53796547E-02    2     1000014       -14   # BR(~chi_40 -> ~nu_muL   nu_mub)
     2.53796547E-02    2    -1000014        14   # BR(~chi_40 -> ~nu_muL*  nu_mu )
     2.54724352E-02    2     1000016       -16   # BR(~chi_40 -> ~nu_tau1  nu_taub)
     2.54724352E-02    2    -1000016        16   # BR(~chi_40 -> ~nu_tau1* nu_tau )
pythia8-8.1.86.orig/examples/main03.cc0000644000175000017500000000523512357054675015576 0ustar  sunsun// main03.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how different processes can be selected and studied.
// All input is specified in the main03.cmnd file.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Generator.
  Pythia pythia;

  // Shorthand for the event record in pythia.
  Event& event = pythia.event;

  // Read in commands from external file.
  pythia.readFile("main03.cmnd");

  // Extract settings to be used in the main program.
  int nEvent = pythia.mode("Main:numberOfEvents");
  int nAbort = pythia.mode("Main:timesAllowErrors");

  // Initialize.
  pythia.init();

  // Book histograms.
  Hist pThard("process pT scale", 100, 0., 500.);
  Hist nFinal("final particle multiplicity", 100, -0.5, 1599.5);
  Hist nCharged("charged particle multiplicity", 100, -0.5, 799.5);
  Hist dndy("dn/dy for charged particles", 100, -10., 10.);
  Hist dndeta("dn/d(eta) for charged particles", 100, -10., 10.);
  Hist dndpT("dn/dpT for charged particles", 100, 0., 10.);
  Hist epCons("deviation from energy-momentum conservation", 100, 0., 1e-6);

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Fill hard scale of event.
    pThard.fill( pythia.info.pTHat() );

    // Loop over final particles in the event.
    int  nFin = 0;
    int  nChg = 0;
    Vec4 pSum;
    for (int i = 0; i < event.size(); ++i) if (event[i].isFinal()) {

       // Analyze all particles.
      nFin++;
      pSum += event[i].p();
       
      // Analyze charged particles and fill histograms.
      if (event[i].isCharged()) {
        ++nChg;
        dndy.fill( event[i].y() );
        dndeta.fill( event[i].eta() );
        dndpT.fill( event[i].pT() );
      }

    // End of particle loop. Fill global properties.
    }
    nFinal.fill( nFin );
    nCharged.fill( nChg );
    pSum /= event[0].e();
    double epDev = abs(pSum.e() - 1.) + abs(pSum.px()) + abs(pSum.py())
      + abs(pSum.pz());
    epCons.fill(epDev);

  // End of event loop.
  }
   
  // Final statistics. Normalize and output histograms.
  pythia.stat();
  dndy   *=  5. / nEvent;
  dndeta *=  5. / nEvent;
  dndpT  *= 10. / nEvent;
  cout << pThard << nFinal << nCharged << dndy << dndeta << dndpT << epCons;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main81.cc0000644000175000017500000001323012357054701015564 0ustar  sunsun// main81.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do CKKW-L merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

// Functions for histogramming
#include "fastjet/PseudoJet.hh"
#include "fastjet/ClusterSequence.hh"
#include "fastjet/CDFMidPointPlugin.hh"
#include "fastjet/CDFJetCluPlugin.hh"
#include "fastjet/D0RunIIConePlugin.hh"

//==========================================================================

// Find the Durham kT separation of the clustering from
// nJetMin --> nJetMin-1 jets in the input event

double pTfirstJet( const Event& event, int nJetMin, double Rparam) {

  double yPartonMax = 4.;

  // Fastjet analysis - select algorithm and parameters
  fastjet::Strategy               strategy = fastjet::Best;
  fastjet::RecombinationScheme    recombScheme = fastjet::E_scheme;
  fastjet::JetDefinition         *jetDef = NULL;
  // For hadronic collision, use hadronic Durham kT measure
  if(event[3].colType() != 0 || event[4].colType() != 0)
    jetDef = new fastjet::JetDefinition(fastjet::kt_algorithm, Rparam,
                                      recombScheme, strategy);
  // For e+e- collision, use e+e- Durham kT measure
  else
    jetDef = new fastjet::JetDefinition(fastjet::ee_kt_algorithm,
                                      recombScheme, strategy);
  // Fastjet input
  std::vector  fjInputs;
  // Reset Fastjet input
  fjInputs.resize(0);

  // Loop over event record to decide what to pass to FastJet
  for (int i = 0; i < event.size(); ++i) {
    // (Final state && coloured+photons) only!
    if ( !event[i].isFinal()
      || event[i].isLepton()
      || event[i].id() == 23
      || abs(event[i].id()) == 24
      || abs(event[i].y()) > yPartonMax)
      continue;

    // Store as input to Fastjet
    fjInputs.push_back( fastjet::PseudoJet (event[i].px(),
            event[i].py(), event[i].pz(),event[i].e() ) );
  }

  // Do nothing for empty input
  if (int(fjInputs.size()) == 0) {
    delete jetDef;
    return 0.0;
  }

  // Run Fastjet algorithm
  fastjet::ClusterSequence clustSeq(fjInputs, *jetDef);
  // Extract kT of first clustering
  double pTFirst = sqrt(clustSeq.exclusive_dmerge_max(nJetMin-1));

  delete jetDef;
  // Return kT
  return pTFirst;

}

//==========================================================================

// Example main programm to illustrate merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments ("<


     2212     2212  3.50000E+03  3.50000E+03     -1     -1     -1     -1      3      1
  9.62391E+03  1.19770E+01  1.00000E+00    666


      6    666  1.00000E+00  1.08102E+01 -1.00000E+00  1.91870E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.223562932E+03  1.223562932E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -1.736171058E+00  1.736171058E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.932753134E+00 -1.006945456E+01  1.145984662E+03  1.148690458E+03  7.805167033E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.535353801E+01 -4.194455050E+01  6.041563996E+02  6.058052754E+02  5.108846754E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.142078487E+01  3.187509593E+01  5.418282621E+02  5.428851828E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -3.932753134E+00  1.006945456E+01  7.584209883E+01  7.660864454E+01  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.68455E+00 -1.00000E+00  1.97321E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.093279891E+01  4.093279891E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -5.293530882E+01  5.293530882E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  8.018900588E+00  5.430269804E+00  7.471815163E-01  7.785732299E+01  7.724903796E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.004301962E+01 -1.046032811E+01 -3.321237731E+01  3.624007056E+01  5.109994876E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.806192021E+01  1.589059792E+01  3.395955883E+01  4.161725243E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -8.018900588E+00 -5.430269804E+00 -1.274969143E+01  1.601078475E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.28994E+00 -1.00000E+00  2.85089E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.614582517E+02  4.614582517E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -7.522567148E+00  7.522567148E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.670811055E+00  1.921061204E+00  4.570285646E+02  4.644653328E+02  8.271706464E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.620428556E+01 -1.900622102E+01  1.770634566E+02  1.817235659E+02  5.110235148E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.353347450E+01  2.092728222E+01  2.799651080E+02  2.827417669E+02  8.529922400E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.670811055E+00 -1.921061204E+00 -3.092880024E+00  4.515486096E+00  2.598106231E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.15893E+00 -1.00000E+00  2.36080E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.245041249E+00  3.245041249E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -5.884994808E+02  5.884994808E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -5.142827138E+00  4.073058287E-01 -5.369645612E+02  5.431798546E+02  8.177285575E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.665667384E+01 -2.166202055E+01 -4.421417712E+02  4.434739759E+02  5.111694336E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.151384670E+01  2.206932638E+01 -9.482278992E+01  9.970587874E+01  3.568322551E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  5.142827138E+00 -4.073058287E-01 -4.828987844E+01  4.856466749E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.99428E+01 -1.00000E+00  1.66430E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  2.024413456E+02  2.024413456E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.655702134E+01  1.655702134E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.310049319E+01 -1.503642741E+01  1.085143160E+02  1.390994605E+02  8.470883109E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.661761301E+01 -2.812831452E+01  1.011559010E+02  1.111960789E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.351711981E+01  1.309188711E+01  7.358415008E+00  2.790338159E+01  9.684608465E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.310049319E+01  1.503642741E+01  7.737000822E+01  7.989890639E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.95830E+01 -1.00000E+00  1.67086E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  2.501443275E+00  2.501443275E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.488331417E+03  1.488331417E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.132291296E+01 -1.597764753E+01 -1.415315083E+03  1.417649232E+03  7.892444735E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.775829532E+01 -2.891029684E+01 -7.282750794E+02  7.293770763E+02  5.112263662E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.908120828E+01  1.293264931E+01 -6.870400032E+02  6.882721557E+02  1.705984480E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.132291296E+01  1.597764753E+01 -7.051489148E+01  7.318362863E+01  2.861022949E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.71676E+00 -1.00000E+00  3.10427E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  1.841986583E+02  1.841986583E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.752649046E+01  1.752649046E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.591661599E-01 -2.704367094E+00  7.157337819E+01  1.065875612E+02  7.893528345E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  5.015435515E-01 -2.408028860E+01  8.004702646E+01  8.359209466E+01  5.110012675E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.423773917E-01  2.137592151E+01 -8.473648271E+00  2.299546656E+01  3.953724850E-07  0.00000E+00  9.000E+00
      -3     1     1     2     0   511 -2.591661599E-01  2.704367094E+00  9.509878963E+01  9.513758751E+01  1.348699152E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.65102E+00 -1.00000E+00  1.97498E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.261311762E+01  6.261311762E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.494524140E+01  3.494524140E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.418408936E-01  9.635799553E+00  3.434292251E+01  8.582385999E+01  7.805867276E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.931607672E+01 -1.770710437E+00 -1.012055627E+01  3.106434338E+01  5.109983613E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.985791762E+01  1.140650999E+01  4.446347878E+01  5.475951662E+01  1.348699152E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  5.418408936E-01 -9.635799553E+00 -6.675046285E+00  1.173449903E+01  1.192092896E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.71917E+00 -1.00000E+00  2.02837E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.996232894E+01  4.996232894E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -4.326625896E+01  4.326625896E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.212461460E+00 -4.899415366E+00  1.671704528E+01  7.994537227E+01  7.769027657E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.664758405E+00 -5.051191460E+00 -3.120596529E+01  3.195444845E+01  5.109982640E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.547703055E+00  1.517760933E-01  4.792301057E+01  4.799092382E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.212461460E+00  4.899415366E+00 -1.002097530E+01  1.328321562E+01  2.384185791E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.55129E+00 -1.00000E+00  4.23570E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  4.949519917E+00  4.949519917E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -4.018560810E+02  4.018560810E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.370667594E+00  7.264843245E-01 -3.241241959E+02  3.340067054E+02  8.063236549E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -6.330625807E+00 -2.212664683E+01 -2.982264317E+02  2.991131389E+02  5.109843588E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.959958214E+00  2.285313116E+01 -2.589776424E+01  3.489356648E+01  9.536743164E-07  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  1.370667594E+00 -7.264843245E-01 -7.278236516E+01  7.279889551E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.95865E+00 -1.00000E+00  2.15846E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.293206799E+01  2.293206799E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -9.378634084E+01  9.378634084E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.885664360E+00  1.005203974E+00 -4.394747395E+01  8.892634817E+01  7.699410448E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.775805137E+01 -1.448173237E+01 -3.996761146E+01  5.077046341E+01  5.109988202E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.464371573E+01  1.548693635E+01 -3.979862485E+00  3.815588477E+01  6.542950392E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501  6.885664360E+00 -1.005203974E+00 -2.690679890E+01  2.779206067E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.80732E+00 -1.00000E+00  2.08998E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  9.927709258E+00  9.927709258E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -1.962338242E+02  1.962338242E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.544449707E+00 -6.348404357E+00 -1.662235646E+02  1.846147683E+02  7.994613799E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.619893890E+01  2.398421175E+00 -9.993308806E+01  1.063143344E+02  5.109879186E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.074338861E+01 -8.746825531E+00 -6.629047655E+01  7.830043393E+01  2.523185073E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.544449707E+00  6.348404357E+00 -2.008255029E+01  2.154676512E+01  2.384185791E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.43042E+01 -1.00000E+00  1.79300E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  5.858805865E+01  5.858805865E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -6.626612288E+01  6.626612288E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.893779642E+00 -1.417833320E+01 -3.886518028E+01  9.054313753E+01  8.051674349E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  8.388813183E+00  3.349397790E+00  2.363781101E+01  2.530487625E+01  5.109987089E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -6.495033541E+00 -1.752773099E+01 -6.250299129E+01  6.523826128E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.893779642E+00  1.417833320E+01  3.118711605E+01  3.431104401E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.02659E+01 -1.00000E+00  1.94391E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.033436933E+03  1.033436933E+03  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -2.234494629E+00  2.234494629E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.868651401E+00  5.170685573E+00  9.828133080E+02  9.862053089E+02  8.107727116E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.101602161E+01 -6.610392467E+00  9.035415958E+02  9.036329262E+02  5.111124946E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.988467301E+01  1.178107804E+01  7.927171220E+01  8.257238265E+01  2.336015456E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  8.868651401E+00 -5.170685573E+00  4.838913045E+01  4.946611884E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.24270E+01 -1.00000E+00  1.43241E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.537784104E+03  1.537784104E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.140617597E+00  3.140617597E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.010745680E+01 -4.120547065E+01  1.239154054E+03  1.242404947E+03  7.916583802E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.302736929E+01 -1.047113220E+01  3.623659317E+02  3.640185712E+02  5.109131583E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.313482609E+01 -3.073433845E+01  8.767881224E+02  8.783863754E+02  1.078959322E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.010745680E+01  4.120547065E+01  2.954894322E+02  2.985197750E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.68637E+00 -1.00000E+00  2.18333E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  6.174284544E+01  6.174284544E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.759070702E+01  5.759070702E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  3.259095878E+00  5.838311888E+00 -2.751145388E+01  8.697168185E+01  8.223433442E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.076433882E+01 -2.248420712E+01 -4.600408859E+01  5.232386384E+01  5.110003775E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -7.505242944E+00  2.832251901E+01  1.849263470E+01  3.464781801E+01  7.907449699E-07  0.00000E+00  9.000E+00
       4     1     1     2   511     0 -3.259095878E+00 -5.838311888E+00  3.166359230E+01  3.236187061E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.50857E+01 -1.00000E+00  1.77103E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.777447112E+01  5.777447112E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -5.051720808E+01  5.051720808E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.972778613E+00  1.478987965E+01  2.325946505E+01  8.629967105E+01  8.172547067E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.049035668E+01  1.702638700E+01 -2.399443923E+01  3.585367046E+01  5.109993764E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.751757806E+01 -2.236507345E+00  4.725390428E+01  5.044600060E+01  6.743495762E-07  0.00000E+00  9.000E+00
       3     1     1     2   511     0  2.972778613E+00 -1.478987965E+01 -1.600220201E+01  2.199200814E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.54866E+00 -1.00000E+00  2.76236E-01
      -4    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.788159159E+02  1.788159159E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.480384742E+01  1.480384742E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  7.367565269E-01 -3.471332416E+00  1.694994821E+02  1.870848825E+02  7.910806450E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  5.455298871E+00 -3.520830883E+01  3.954390477E+01  5.322692647E+01  5.109990427E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -4.718542344E+00  3.173697642E+01  1.299555773E+02  1.338579560E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -7.367565269E-01  3.471332416E+00 -5.487413631E+00  6.534880816E+00  3.209808354E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.37952E+00 -1.00000E+00  2.33012E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.775036252E+01  4.775036252E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -5.103843463E+01  5.103843463E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.419000055E+00 -3.067853540E+00  1.644462435E+01  7.833595881E+01  7.640129244E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.491896587E+00  3.268351453E+01 -9.148587993E+00  3.397255569E+01  5.109975687E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  5.910896642E+00 -3.575136807E+01  2.559321234E+01  4.436340312E+01  8.920806376E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -4.419000055E+00  3.067853540E+00 -1.973269646E+01  2.045283834E+01  2.384185791E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.24466E+01 -1.00000E+00  1.62298E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.542634943E+02  1.542634943E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -2.158757162E+01  2.158757162E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.162759896E+01 -6.007931219E+00  1.282857096E+02  1.529792001E+02  8.025935534E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.216682800E+01  1.077104177E+01  8.724416638E+01  9.065830449E+01  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.379442696E+01 -1.677897299E+01  4.104154318E+01  6.232089564E+01  1.348699152E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  2.162759896E+01  6.007931219E+00  4.390213147E+00  2.287186581E+01  4.256623047E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.73919E+01 -1.00000E+00  1.71492E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  5.620867873E+00  5.620867873E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.235949877E+02  8.235949877E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.484923838E+01 -9.054119519E+00 -8.002198866E+02  8.043624904E+02  7.965345041E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.500637603E+01 -3.400557777E+01 -2.475839236E+02  2.503584827E+02  5.110341932E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.985561441E+01  2.495145825E+01 -5.526359630E+02  5.540040077E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.484923838E+01  9.054119519E+00 -1.775423322E+01  2.485336513E+01  1.390207266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.22106E+01 -1.00000E+00  1.62658E-01
      -4    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  9.148953367E+00  9.148953367E+00  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.272536847E+02  5.272536847E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.782011824E+01  1.325719122E+01 -5.036658128E+02  5.099112791E+02  7.639994627E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.430172483E+01  3.532238199E+01 -3.824302717E+02  3.855868147E+02  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.648160659E+01 -2.206519077E+01 -1.212355412E+02  1.243244644E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.782011824E+01 -1.325719122E+01 -1.443891850E+01  2.649135898E+01  2.384185791E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.04715E+01 -1.00000E+00  1.52536E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.956520273E+02  5.956520273E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.358904532E+01  1.358904532E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.945419169E+01 -7.807799480E+00  5.699577383E+02  5.764531470E+02  8.073348833E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.254219428E+01  2.633242839E+01  2.775879896E+02  2.791160967E+02  5.110270743E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.199638597E+01 -3.414022787E+01  2.923697487E+02  2.973370504E+02  9.344061824E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -2.945419169E+01  7.807799480E+00  1.210524370E+01  3.278792561E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.04615E+00 -1.00000E+00  2.07279E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.390687923E+02  4.390687923E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -5.434610926E+00  5.434610926E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.681998258E-01  8.041682378E+00  4.254249005E+02  4.330084966E+02  8.028244848E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.061857523E+01 -1.618652743E+01  2.452936195E+01  3.124815848E+01  5.109964841E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.035037540E+01  2.422820981E+01  4.008955386E+02  4.017603381E+02  9.344061824E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -2.681998258E-01 -8.041682378E+00  8.209280817E+00  1.149490662E+01  2.920019320E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.95574E+01 -1.00000E+00  1.67133E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  9.859931005E+01  9.859931005E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.872635228E+01  2.872635228E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.952417326E+01 -1.138992134E+00  6.466895949E+01  1.070877711E+02  8.308565308E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.388021487E+01 -9.357064572E+00  8.281561347E+01  8.669628109E+01  5.109950380E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.356041615E+00  8.218072438E+00 -1.814665398E+01  2.039148999E+01  8.596304120E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0  1.952417326E+01  1.138992134E+00  5.203998276E+00  2.023789126E+01  2.598106231E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.59750E+01 -1.00000E+00  1.74799E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  8.822219161E+01  8.822219161E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -3.723571619E+01  3.723571619E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.587299469E+01  1.802347313E+00  6.823529514E+01  1.019478632E+02  7.404127827E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -6.836752307E+00  5.365593633E-01 -1.455519803E+01  1.608983742E+01  5.109992373E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.270974700E+01  1.265787950E+00  8.279049318E+01  8.585802576E+01  1.348699152E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511 -1.587299469E+01 -1.802347313E+00 -1.724881972E+01  2.351004462E+01  5.331201500E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.03652E+00 -1.00000E+00  3.59233E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.671916335E+02  1.671916335E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -9.820686949E+00  9.820686949E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.625775104E+00 -1.226492201E+00  1.584981608E+02  1.746846521E+02  7.340921799E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.079165460E+01  1.607697457E+01  9.714878220E+01  1.031720940E+02  5.110021574E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.241742970E+01 -1.730346677E+01  6.134937861E+01  7.151255811E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.625775104E+00  1.226492201E+00 -1.127214253E+00  2.327668314E+00  2.580956828E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.74997E+00 -1.00000E+00  3.08676E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  3.492686922E+01  3.492686922E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -5.820875844E+01  5.820875844E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.335710754E+00  1.451485626E+00 -2.530030642E+01  8.972441626E+01  8.603954331E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.955391498E+01  1.003316174E+01  1.935763357E+01  3.672623317E+01  5.109982084E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.721820423E+01 -8.581676114E+00 -4.465793999E+01  5.299818309E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.335710754E+00 -1.451485626E+00  2.018417198E+00  3.411211403E+00  2.980232239E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.15421E+00 -1.00000E+00  2.14154E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  5.604142090E+00  5.604142090E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.931724749E+02  4.931724749E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.998672101E+00  6.869356677E+00 -4.841728041E+02  4.908575030E+02  8.041518030E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.265590161E+01  9.961108869E-01 -9.551229687E+01  1.009455249E+02  5.110057170E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.065722950E+01  5.873245790E+00 -3.886605073E+02  3.899119781E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.998672101E+00 -6.869356677E+00 -3.395528643E+00  7.919113971E+00  2.598106231E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.25367E+01 -1.00000E+00  1.85000E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.537169626E+01  2.537169626E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -8.757801275E+01  8.757801275E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.767387338E+00  1.222748292E+01 -4.556309200E+01  9.211304198E+01  7.906735976E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.921921657E+00  1.562932021E+01 -6.725562203E+01  6.915906170E+01  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.689308995E+00 -3.401837288E+00  2.169253003E+01  2.295398028E+01  6.307962682E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.767387338E+00 -1.222748292E+01 -1.664322449E+01  2.083666702E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.84896E+00 -1.00000E+00  2.45120E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  3.581477415E+00  3.581477415E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.106179193E+02  7.106179193E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.837770323E+00  3.292308759E-01 -7.029522264E+02  7.078595835E+02  8.306530578E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.999636042E+01 -3.114022220E+01 -1.812628288E+02  1.850021107E+02  5.109701195E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.515859009E+01  3.146945307E+01 -5.216893976E+02  5.228574728E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -4.837770323E+00 -3.292308759E-01 -4.084215479E+00  6.339813148E+00  1.032382731E-07  0.00000E+00  9.000E+00


      5    666  1.00000E+00  8.94427E-01 -1.00000E+00  7.50595E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  8.575329305E-01  8.575329305E-01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.038485828E+03  2.038485828E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  0.000000000E+00  0.000000000E+00 -2.037628295E+03  2.039343360E+03  8.361982362E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.998948359E+01  4.935869915E+00 -1.313601741E+02  1.329640463E+02  5.110128362E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.998948359E+01 -4.935869915E+00 -1.906268121E+03  1.906379314E+03  3.737624730E-05  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.10288E+01 -1.00000E+00  1.64551E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  6.237743880E+00  6.237743880E+00  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.880891586E+02  6.880891586E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.095049345E+01  1.812823775E+00 -6.468475432E+02  6.534921069E+02  9.054269802E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.804013058E+01 -4.033498458E+01 -2.956299729E+02  2.996835678E+02  5.109558798E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -7.089637131E+00  4.214780835E+01 -3.512175703E+02  3.538085392E+02  7.629394531E-06  0.00000E+00  9.000E+00
       3     1     1     2   511     0 -2.095049345E+01 -1.812823775E+00 -3.500387147E+01  4.083479550E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.09162E+01 -1.00000E+00  1.91401E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  3.345946431E+00  3.345946431E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.583388746E+02  7.583388746E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.896752015E+00  1.052485156E+01 -7.323196230E+02  7.365205122E+02  7.778991557E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  9.176749838E+00 -9.238855885E+00 -2.025747028E+01  2.408182506E+01  5.109999326E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.207350185E+01  1.976370744E+01 -7.120621527E+02  7.124386871E+02  1.321449896E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.896752015E+00 -1.052485156E+01 -2.267330518E+01  2.516430886E+01  8.259061849E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.41354E+01 -1.00000E+00  1.79799E-01
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  9.860365780E+00  9.860365780E+00  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.464653390E+02  2.464653390E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.063492963E+01 -9.311629107E+00 -2.071983001E+02  2.236981001E+02  8.312578570E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.273699017E+01 -3.336686762E+01 -4.201326815E+01  5.514248339E+01  5.109983752E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.337191980E+01  2.405523852E+01 -1.651850320E+02  1.685556167E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.063492963E+01  9.311629107E+00 -2.940667313E+01  3.262760471E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.03312E+00 -1.00000E+00  2.62522E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  5.220942732E+00  5.220942732E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -6.257258928E+02  6.257258928E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.339693071E+00  2.261082995E+00 -6.216189255E+02  6.267627003E+02  8.003204338E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.004602576E+01 -2.231676182E+01 -5.205895670E+02  5.214531411E+02  5.107707276E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.670633269E+01  2.457784482E+01 -1.010293584E+02  1.053095593E+02  2.336015456E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -3.339693071E+00 -2.261082995E+00  1.113975414E+00  4.184135197E+00  4.050814277E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.80720E+01 -1.00000E+00  1.70042E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.563980840E+00  7.563980840E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -6.074099951E+02  6.074099951E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.269918930E+01 -1.285797320E+01 -1.904003865E+02  2.051297141E+02  7.415723524E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.176445244E+00 -7.373956806E+00 -1.856091414E+02  1.858276734E+02  5.110128362E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.787563454E+01 -5.484016394E+00 -4.791245116E+00  1.930204072E+01  1.332800375E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.269918930E+01  1.285797320E+01 -4.094456277E+02  4.098442618E+02  9.344061824E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.72324E+02 -1.00000E+00  1.14035E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.411972526E+02  6.411972526E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -5.399264421E+01  5.399264421E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.466508958E+02 -9.049363445E+01  3.861601346E+02  4.303985383E+02  8.017274518E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.501516464E+02 -7.921262990E+01  3.110176084E+02  3.543333323E+02  5.110697863E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.500750522E+00 -1.128100455E+01  7.514252617E+01  7.606520595E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   511     0  1.466508958E+02  9.049363445E+01  2.010444738E+02  2.647913586E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.60055E+00 -1.00000E+00  2.19151E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.998944747E+02  3.998944747E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -5.080051294E+00  5.080051294E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.970096359E+00  5.273095696E+00  3.828666774E+02  3.913247700E+02  8.065119822E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.101959511E+01 -9.667567313E+00  3.330430848E+01  4.055196913E+01  5.110003775E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.498969147E+01  1.494066301E+01  3.495623689E+02  3.507728009E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  3.970096359E+00 -5.273095696E+00  1.194774606E+01  1.364975601E+01  2.920019320E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.73438E+00 -1.00000E+00  3.94398E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  5.840853466E+02  5.840853466E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -2.976440497E+00  2.976440497E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.519118288E+00  8.368626922E-01  4.685775740E+02  4.745170904E+02  7.482324589E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.673437030E+00 -3.651198563E+01  2.661600511E+02  2.686579578E+02  5.110128362E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.192555318E+00  3.734884833E+01  2.024175229E+02  2.058591326E+02  4.672030912E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.519118288E+00 -8.368626922E-01  1.125313321E+02  1.125446967E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.68646E+00 -1.00000E+00  2.71997E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.328781200E+00  1.328781200E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.591404858E+03  1.591404858E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.240962204E+00 -2.927123382E+00 -1.244107862E+03  1.246745784E+03  8.097585357E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -6.019792469E+00  1.661357265E+01 -6.196300935E+01  6.443340147E+01  5.110119463E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.778830266E+00 -1.954069603E+01 -1.182144853E+03  1.182312383E+03  2.157918644E-05  0.00000E+00  9.000E+00
      21     1     1     2   511   501  2.240962204E+00  2.927123382E+00 -3.459682145E+02  3.459878544E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.46300E+00 -1.00000E+00  4.53010E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.426483845E+00  1.426483845E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.333384050E+03  1.333384050E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -8.396933930E-02  1.460584113E+00 -1.329614191E+03  1.332047970E+03  8.047207384E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.944229245E+01 -2.384127260E+00 -7.893446792E+02  7.903330950E+02  5.112263662E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.935832311E+01  3.844711373E+00 -5.402695123E+02  5.417148745E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   511     0  8.396933930E-02 -1.460584113E+00 -2.343374964E+00  2.762564573E+00  1.931411236E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.45623E+00 -1.00000E+00  2.79255E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  2.172153853E+02  2.172153853E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -9.417177192E+01  9.417177192E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.311297352E+00 -9.903653641E-01 -7.627757619E+01  1.120360044E+02  8.198690226E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -5.970550718E+00 -8.179581988E+00 -9.192092214E+01  9.247707265E+01  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  9.281848071E+00  7.189216624E+00  1.564334595E+01  1.955893177E+01  1.215700987E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511 -3.311297352E+00  9.903653641E-01  1.993211896E+02  1.993511528E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.06378E+01 -1.00000E+00  1.65211E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.469850073E+01  2.469850073E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -1.101603663E+02  1.101603663E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.457413688E+01  1.461206026E+01 -6.803903235E+01  1.078501112E+02  8.109512194E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -5.055530577E+00 -1.941780938E+01  8.520625256E+00  2.179932947E+01  5.109983474E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.962966746E+01  3.402986963E+01 -7.655965760E+01  8.605078178E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.457413688E+01 -1.461206026E+01 -1.742283319E+01  2.700875575E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.95705E+02 -1.00000E+00  1.11974E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.820084863E+02  5.820084863E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -9.525827699E+01  9.525827699E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.703180127E+02  9.639650175E+01  8.229195067E+01  2.279483973E+02  8.299394970E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.159782332E+02  7.152199615E+01  9.594187753E+01  1.666469033E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -5.433977953E+01  2.487450559E+01 -1.364992686E+01  6.130149404E+01  1.283923342E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.703180127E+02 -9.639650175E+01  4.044582587E+02  4.493183660E+02  5.394796609E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.04094E+01 -1.00000E+00  1.93707E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  2.034692116E+01  2.034692116E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.489362263E+02  1.489362263E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.013762366E+00  1.021271718E+01 -1.343150140E+02  1.574029718E+02  8.140526839E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.865439846E+00 -6.616894037E+00  9.986067033E+00  1.212372416E+01  5.109993208E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.483225198E-01  1.682961122E+01 -1.443010810E+02  1.452792476E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.013762366E+00 -1.021271718E+01  5.725708866E+00  1.188017563E+01  2.064765462E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.65297E+00 -1.00000E+00  2.18649E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.852510490E+02  2.852510490E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.673187156E+01  1.673187156E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.651572258E+00  1.362767970E-01  2.784602198E+02  2.900210516E+02  8.079513824E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.189567832E+00 -2.570301635E+01  2.807348854E+01  3.829253566E+01  5.110010450E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.462004425E+00  2.583929315E+01  2.503867313E+02  2.517285159E+02  2.697398305E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  6.651572258E+00 -1.362767970E-01 -9.941042389E+00  1.196186894E+01  3.953724850E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.36780E+00 -1.00000E+00  2.21457E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.260804096E+01  8.260804096E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -3.635873945E+01  3.635873945E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.131935387E+00 -1.717027875E+00  6.146168479E+01  1.024754063E+02  8.175036009E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.642455067E+00  1.484312452E+01 -1.565523089E+01  2.257270053E+01  5.109988202E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.277439045E+01 -1.656015239E+01  7.711691568E+01  7.990270573E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  6.131935387E+00  1.717027875E+00 -1.521238328E+01  1.649137415E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.78721E+01 -1.00000E+00  1.70460E-01
       3    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  1.471523236E+01  1.471523236E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -2.367560153E+02  2.367560153E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.712975074E+01 -5.097356488E+00 -2.177340267E+02  2.330875714E+02  8.125452697E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.977267035E+01 -1.935052128E+01 -2.833545572E+01  3.960175776E+01  5.109980415E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.690242109E+01  1.425316480E+01 -1.893985710E+02  1.934858136E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.712975074E+01  5.097356488E+00 -4.306756249E+00  1.838367626E+01  1.192092896E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.61631E+00 -1.00000E+00  4.12306E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  5.321177605E+01  5.321177605E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.091618738E+02  1.091618738E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.117363410E+00 -1.167890288E+00 -9.481987291E+01  1.234702837E+02  7.906636580E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.492361722E-02 -2.380774517E+00  1.422008189E+01  1.441801093E+01  5.109989314E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.102439792E+00  1.212884229E+00 -1.090399548E+02  1.090522728E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.117363410E+00  1.167890288E+00  3.886977519E+01  3.890336608E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.04468E+00 -1.00000E+00  2.37756E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.619480455E+02  1.619480455E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -1.282620111E+01  1.282620111E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.884613250E+00 -4.679423303E+00  1.498214702E+02  1.696812862E+02  7.949727786E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.611667178E+01  2.076069897E+00  3.767225124E+01  5.222951810E+01  5.110012675E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.423205853E+01 -6.755493200E+00  1.121492190E+02  1.174517681E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.884613250E+00  4.679423303E+00 -6.996257892E-01  5.092960415E+00  6.746787681E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.70643E+00 -1.00000E+00  2.18144E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  4.683169099E+02  4.683169099E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -5.089193861E+00  5.089193861E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.369736081E+00 -2.098263801E+00  3.144373599E+02  3.244646847E+02  7.975902477E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.339736940E+01 -1.233025260E+01  2.635501559E+02  2.659437987E+02  5.109843588E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.702763332E+01  1.023198880E+01  5.088720408E+01  5.852088598E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  6.369736081E+00  2.098263801E+00  1.487903561E+02  1.489414191E+02  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.66940E+00 -1.00000E+00  2.03147E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.580839272E+02  1.580839272E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.417112642E+01  1.417112642E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.460354064E+00  1.892335177E+00  1.423212363E+02  1.634407697E+02  7.988987653E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.592500009E+01  9.310186836E-01  6.160297941E+01  7.131899817E+01  5.109968179E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.438535416E+01  9.613164936E-01  8.071825694E+01  9.212177157E+01  1.907348633E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  8.460354064E+00 -1.892335177E+00  1.591564443E+00  8.814283901E+00  1.788139343E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.94147E+01 -1.00000E+00  1.31380E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.731696489E+02  2.731696489E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.302242146E+01  3.302242146E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.834982563E+01 -4.980659282E+01  2.001610618E+02  2.260840447E+02  7.893758484E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.774750692E+01 -2.121914574E+01  4.700580035E+01  7.028244325E+01  5.109959279E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.023187128E-01 -2.858744708E+01  1.531552614E+02  1.558016015E+02  1.907348633E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  4.834982563E+01  4.980659282E+01  3.998616567E+01  8.010802563E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.56775E+01 -1.00000E+00  1.57849E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.705783564E+01  2.705783564E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.311215133E+02  1.311215133E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.319664824E+01 -1.101143685E+01 -5.430748802E+01  1.021881475E+02  8.266666803E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.759488377E+01  1.360382732E+01  8.103325711E+00  2.367082467E+01  5.109986394E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.079153201E+01 -2.461526417E+01 -6.241081373E+01  7.851732283E+01  1.507891493E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.319664824E+01  1.101143685E+01 -4.975618964E+01  5.599120144E+01  1.168007728E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.73130E+01 -1.00000E+00  1.46706E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.782993008E+02  5.782993008E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -6.783900635E+00  6.783900635E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.115348765E+01 -2.053577439E+01  3.476047997E+02  3.580849309E+02  7.748201821E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.344387313E+01 -3.580312915E+01  7.232476040E+01  8.181364647E+01  5.109994876E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.770961452E+01  1.526735475E+01  2.752800393E+02  2.762712845E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   511     0  3.115348765E+01  2.053577439E+01  2.239106005E+02  2.269982705E+02  4.672030912E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.14210E+01 -1.00000E+00  1.89260E-01
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  4.466360650E+02  4.466360650E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.086940810E+01  1.086940810E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.006029016E+01 -5.406516915E+00  4.382281466E+02  4.458222033E+02  8.113623458E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.998435381E+01  6.460520249E-01  3.076322629E+02  3.090907440E+02  5.109843588E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.004464398E+01 -6.052568939E+00  1.305958837E+02  1.367314592E+02  1.907348633E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -1.006029016E+01  5.406516915E+00 -2.461489696E+00  1.168326987E+01  5.438413498E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.94354E+00 -1.00000E+00  2.15980E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.871908143E+00  2.871908143E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -6.755743770E+02  6.755743770E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.059849829E+00 -6.232984540E+00 -6.068839736E+02  6.122625478E+02  8.067872823E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.298037573E+01  1.153858107E+01 -3.992441232E+02  4.007701511E+02  5.110270743E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.604022555E+01 -1.777156561E+01 -2.076398504E+02  2.114923967E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  3.059849829E+00  6.232984540E+00 -6.581849524E+01  6.618373738E+01  1.348699152E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.50981E+00 -1.00000E+00  1.98255E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  7.495765320E+00  7.495765320E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.474240624E+02  3.474240624E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -7.047669353E+00 -6.384886085E+00 -3.351092832E+02  3.442587158E+02  7.826490455E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  9.285405986E+00  2.612539767E+01 -2.521794504E+02  2.536990942E+02  5.109629997E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.633307534E+01 -3.251028375E+01 -8.292983278E+01  9.055962160E+01  2.336015456E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.047669353E+00  6.384886085E+00 -4.819013913E+00  1.066111198E+01  4.172325134E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.15462E+00 -1.00000E+00  2.59544E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  6.066704243E+00  6.066704243E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.848932375E+02  9.848932375E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.669629361E+00 -3.804369667E+00 -9.822727556E+02  9.855620403E+02  8.034617591E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -7.774939428E+00  8.016842035E+00 -1.808301381E+01  2.125358389E+01  5.109992095E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  9.444568788E+00 -1.182121170E+01 -9.641897418E+02  9.643084564E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.669629361E+00  3.804369667E+00  3.446222391E+00  5.397901401E+00  2.827296549E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.15103E+00 -1.00000E+00  2.90409E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.943599950E+00  1.943599950E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.735523237E+02  9.735523237E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.541146520E+00  1.863214389E+00 -9.630546722E+02  9.663799601E+02  8.003747023E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.105943266E+00 -2.941316908E+01 -7.821271872E+02  7.827123136E+02  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.564796747E+00  3.127638347E+01 -1.809274850E+02  1.836676465E+02  2.697398305E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  2.541146520E+00 -1.863214389E+00 -8.554051494E+00  9.115963495E+00  1.192092896E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.14967E+01 -1.00000E+00  1.88952E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  4.120051377E+02  4.120051377E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.950162326E+00  6.950162326E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.104269453E+01  3.198943230E+00  2.580688358E+02  2.715202310E+02  8.361541432E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.761383093E+01 -6.985332042E-01  1.470572437E+02  1.545748938E+02  5.110021574E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.657113640E+01  3.897476435E+00  1.110115921E+02  1.169453373E+02  3.568322551E-06  0.00000E+00  9.000E+00
       4     1     1     2   511     0  1.104269453E+01 -3.198943230E+00  1.469861396E+02  1.474350690E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.44916E+00 -1.00000E+00  2.04552E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  4.683808787E+02  4.683808787E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -4.463210484E+00  4.463210484E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -7.932001075E+00 -2.910613589E+00  4.425137048E+02  4.498328319E+02  8.037293944E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.234748463E+01  5.775669707E+00  2.966247461E+02  2.996880175E+02  5.110697863E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.441548356E+01 -8.686283296E+00  1.458889587E+02  1.501448144E+02  3.303624740E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  7.932001075E+00  2.910613589E+00  2.140396341E+01  2.301125729E+01  4.129530925E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.49464E+00 -1.00000E+00  2.11378E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  3.433082542E+01  3.433082542E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.149947865E+02  1.149947865E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.986611422E+00  4.508887173E+00 -9.940706130E+01  1.291396418E+02  8.209210483E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.947560432E+01  1.826108288E+01  1.180868478E+00  2.672378645E+01  5.109988321E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.348899290E+01 -1.375219570E+01 -1.005879298E+02  1.024158554E+02  2.336015456E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  5.986611422E+00 -4.508887173E+00  1.874310026E+01  2.018597006E+01  2.384185791E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.84040E+01 -1.00000E+00  1.54671E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  4.266210961E+01  4.266210961E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -8.031622988E+01  8.031622988E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  9.077503146E+00  2.691443149E+01 -4.167921334E+01  9.429055358E+01  7.966658010E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.615298781E+01 -6.102922255E+00 -5.525989276E+01  5.789490844E+01  5.109972628E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -7.075484661E+00  3.301735375E+01  1.358067943E+01  3.639564514E+01  1.052827938E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -9.077503146E+00 -2.691443149E+01  4.025093072E+00  2.868778591E+01  3.526258339E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.94106E+00 -1.00000E+00  2.43478E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.459677288E+01  1.459677288E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.562123955E+02  1.562123955E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  3.946776605E+00 -2.972712955E+00 -1.009792954E+02  1.298735462E+02  8.152242544E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.073424186E+01 -3.062103426E+01 -8.719550792E+01  9.471332074E+01  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.678746526E+01  2.764832130E+01 -1.378378747E+01  3.516022551E+01  7.348554138E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -3.946776605E+00  2.972712955E+00 -4.063632721E+01  4.093562210E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.59094E+00 -1.00000E+00  2.30260E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.250454506E+01  4.250454506E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -5.579458324E+01  5.579458324E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.120947673E+00  2.243763624E+00  1.830534434E+00  8.217801493E+01  8.196716843E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -7.979284437E+00  1.636105380E+01 -3.565588311E+01  4.003367410E+01  5.110003775E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.310023211E+01 -1.411729018E+01  3.748641754E+01  4.214434082E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -5.120947673E+00 -2.243763624E+00 -1.512057261E+01  1.612111337E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.81342E+01 -1.00000E+00  1.46107E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.368363522E+01  1.368363522E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.036579346E+02  5.036579346E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.483277312E+01 -3.513124463E+01 -4.627114884E+02  4.704643219E+02  7.602987050E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.114262914E+00  1.143267332E+01 -3.034391673E+02  3.036618257E+02  5.110128362E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.694703604E+01 -4.656391796E+01 -1.592723211E+02  1.668024962E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.483277312E+01  3.513124463E+01 -2.726281099E+01  4.687724791E+01  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.45430E+01 -1.00000E+00  1.78611E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.151925131E+02  2.151925131E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.079384653E+01  1.079384653E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.051362845E+00  1.421928233E+01  1.633018790E+02  1.823922688E+02  7.992457216E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.437938621E+01  3.156572656E-02  3.994136519E+01  5.269967595E+01  5.109970403E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.743074905E+01  1.418771660E+01  1.233605138E+02  1.296925928E+02  1.348699152E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  3.051362845E+00 -1.421928233E+01  4.109678764E+01  4.359409088E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.03259E+01 -1.00000E+00  1.44591E-01
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.224520729E+01  2.224520729E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.944491072E+02  1.944491072E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.864766022E+01  1.151255018E+01 -9.553587700E+01  1.300677239E+02  7.851323814E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.231911114E+01  1.141580970E+01 -1.082745728E+02  1.168101494E+02  5.110057170E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.671450915E+00  9.674048339E-02  1.273869585E+01  1.325757453E+01  1.379947293E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511  3.864766022E+01 -1.151255018E+01 -7.666802289E+01  8.662659053E+01  1.348699152E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.53435E+00 -1.00000E+00  2.04002E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.708208987E+02  1.708208987E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.261736096E+02  1.261736096E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.752911005E+00 -8.352390014E+00  1.619139413E+02  1.794177127E+02  7.682288801E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.141455538E+01 -7.287682407E+00  1.367631890E+02  1.405138943E+02  5.109950380E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.966164438E+01 -1.064707607E+00  2.515075231E+01  3.890381846E+01  1.215700987E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  1.752911005E+00  8.352390014E+00 -1.172666523E+02  1.175767956E+02  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.11861E+01 -1.00000E+00  1.51845E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  3.843586853E+01  3.843586853E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.688676034E+01  8.688676034E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.183902911E+01 -2.885155200E+01 -2.568584537E+01  8.671146465E+01  7.672379544E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.006537043E+01  2.156396977E+01  1.751938429E-01  2.945597692E+01  5.109984527E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  8.226341319E+00 -5.041552177E+01 -2.586103921E+01  5.725548774E+01  1.469710828E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.183902911E+01  2.885155200E+01 -2.276504644E+01  3.861116422E+01  8.259061849E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.27921E+01 -1.00000E+00  1.61779E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.351388809E+01  1.351388809E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -2.462154347E+02  2.462154347E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.219517097E+01  1.925504593E+01 -1.322970790E+02  1.567704178E+02  8.096275572E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  4.304472571E+01  2.876632014E+01 -7.870546217E+01  9.420668427E+01  5.110021574E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.084955475E+01 -9.511274216E+00 -5.359161680E+01  6.256373356E+01  2.023048729E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.219517097E+01 -1.925504593E+01 -1.004044676E+02  1.029589049E+02  1.348699152E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.77662E+01 -1.00000E+00  1.26408E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  2.089580146E+02  2.089580146E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.568170645E+02  1.568170645E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.234155997E+01  3.037732781E+01 -1.222678855E+02  1.705281675E+02  8.017172538E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -9.399220626E+00  1.577722872E+01  8.380076891E+00  2.018643067E+01  5.109988619E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -7.294233935E+01  1.460009909E+01 -1.306479624E+02  1.503417368E+02  4.264961200E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  8.234155997E+01 -3.037732781E+01  1.744088356E+02  1.952469116E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.31248E+01 -1.00000E+00  1.82977E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.038052299E+01  1.038052299E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.279977778E+02  4.279977778E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.342018476E+00  1.291419551E+01 -4.175164952E+02  4.252530713E+02  7.967364269E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.437304976E+00  4.380065087E+01 -1.604932782E+02  1.663806774E+02  5.110128362E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  9.528650005E-02 -3.088645535E+01 -2.570232170E+02  2.588723939E+02  6.607249480E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.342018476E+00 -1.291419551E+01 -1.007595298E-01  1.312522948E+01  2.423229037E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.69485E+00 -1.00000E+00  2.47993E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  3.751732631E+00  3.751732631E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.708782232E+02  4.708782232E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.822528466E+00 -4.326659545E+00 -4.493750891E+02  4.562682063E+02  7.887118459E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.523044489E+01  8.627648308E+00 -2.091574392E+01  2.727400064E+01  5.110059395E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.705297336E+01 -1.295430785E+01 -4.284593452E+02  4.289942056E+02  1.078959322E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.822528466E+00  4.326659545E+00 -1.775140152E+01  1.836174961E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.15426E+01 -1.00000E+00  1.63710E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.853689199E+02  2.853689199E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.056473454E+01  1.056473454E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.013296111E+01 -7.664735398E+00  2.220204029E+02  2.389230241E+02  8.559829325E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.925631831E+01 -9.601576792E+00  1.384258800E+02  1.418091912E+02  5.109843588E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.938927942E+01  1.936841394E+00  8.359452291E+01  9.711383288E+01  3.162979880E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -2.013296111E+01  7.664735398E+00  5.278378246E+01  5.701063043E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.62764E+01 -1.00000E+00  1.29335E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.821773319E+02  3.821773319E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -2.441909887E+01  2.441909887E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.812303720E+01  7.090268551E+01  1.603964330E+02  1.950077351E+02  8.051648893E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.641638719E+01 -5.401301866E+00  3.151180457E-01  1.728499725E+01  5.109990737E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.170665001E+01  7.630398738E+01  1.600813150E+02  1.777227379E+02  2.697398305E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511 -2.812303720E+01 -7.090268551E+01  1.973618000E+02  2.115886957E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.11620E+00 -1.00000E+00  2.24108E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  3.663804117E+02  3.663804117E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.180493413E+01  1.180493413E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.632810711E+00 -2.383150541E+00  1.239320985E+02  1.474608862E+02  7.967521544E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.602598407E+00  1.359752985E+01  1.296170216E+02  1.303780803E+02  5.110021574E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.030212305E+00 -1.598068039E+01 -5.684923072E+00  1.708280592E+01  1.192092896E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -5.632810711E+00  2.383150541E+00  2.306433790E+02  2.307244596E+02  4.672030912E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.87023E+00 -1.00000E+00  2.26877E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  2.694344626E+00  2.694344626E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.400008621E+02  7.400008621E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -5.823980747E+00 -7.354181693E-01 -7.235202824E+02  7.277112196E+02  7.776606293E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.559688155E+01 -3.164535910E+01 -4.249157249E+02  4.268606358E+02  5.110270743E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.977290080E+01  3.090994093E+01 -2.986045575E+02  3.008505839E+02  7.629394531E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  5.823980747E+00  7.354181693E-01 -1.378623503E+01  1.498398705E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.82435E+01 -1.00000E+00  1.35369E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.540346546E+03  1.540346546E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -4.102675957E+00  4.102675957E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.983347013E+01 -5.002273137E+01  8.952890137E+02  9.008535124E+02  8.125467994E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.103454500E+01  1.220522676E+01  9.369698705E+01  9.680157553E+01  5.110163958E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  8.798925126E+00 -6.222795813E+01  8.015920267E+02  8.040519368E+02  1.868812365E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -2.983347013E+01  5.002273137E+01  6.409548562E+02  6.435957095E+02  1.321449896E-05  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.88574E+00 -1.00000E+00  2.66361E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.664227715E+02  1.664227715E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -1.099792645E+01  1.099792645E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.269614422E-01  3.879107489E+00  1.537926303E+02  1.732060674E+02  7.958058580E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.744760184E+01  1.048001902E+01  1.013947466E+02  1.085958025E+02  5.109950380E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.722064039E+01 -6.600911529E+00  5.239788371E+01  6.461026483E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.269614422E-01 -3.879107489E+00  1.632214742E+00  4.214630633E+00  9.657056180E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.35788E+00 -1.00000E+00  4.81148E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.007100653E+01  1.007100653E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.841323487E+02  2.841323487E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.172981406E+00 -6.840724088E-01 -1.526046106E+02  1.727390334E+02  8.092442544E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.019836509E+01  3.057619007E+00 -1.982760856E+01  3.625499069E+01  5.109976522E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.137134650E+01 -3.741691416E+00 -1.327770021E+02  1.364840427E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -1.172981406E+00  6.840724088E-01 -1.214567316E+02  1.214643218E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.00597E+00 -1.00000E+00  2.63209E-01
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  9.383509686E+01  9.383509686E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.658012942E+01  2.658012942E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.758417671E+00  3.599412859E+00  3.510814008E+01  8.801975876E+01  8.061543666E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.360385717E+01  4.435947521E+00  5.217567594E+01  5.743797405E+01  5.109990427E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.536227485E+01 -8.365346625E-01 -1.706753586E+01  3.058178471E+01  7.539457465E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.758417671E+00 -3.599412859E+00  3.214682737E+01  3.239546752E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.59893E+00 -1.00000E+00  2.74655E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  8.439308265E+00  8.439308265E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -5.201790730E+02  5.201790730E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.804673124E-01 -3.594399349E+00 -1.799732662E+02  1.968323631E+02  7.962192133E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.753613950E+00 -3.125534014E+01 -2.711220501E+01  4.146746120E+01  5.110011562E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.573146637E+00  2.766094079E+01 -1.528610612E+02  1.553649019E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.804673124E-01  3.594399349E+00 -3.317664985E+02  3.317860181E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.27411E+00 -1.00000E+00  2.34451E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.901668872E+02  2.901668872E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -6.548800959E+00  6.548800959E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.962808645E+00  4.895265816E+00  2.767820980E+02  2.880816288E+02  7.971749406E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.488299795E+01  2.146170796E+01  1.126883247E+02  1.199003210E+02  5.110128362E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.292018931E+01 -1.656644215E+01  1.640937732E+02  1.681813078E+02  4.672030912E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.962808645E+00 -4.895265816E+00  6.835988301E+00  8.634059372E+00  1.460009660E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.16444E+00 -1.00000E+00  2.36000E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.174498234E+01  7.174498234E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -2.562252659E+01  2.562252659E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.166306040E+00 -4.688133121E+00  4.367703485E+01  9.165335480E+01  8.041133377E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.235833199E+01  3.011159965E+01  2.555579801E+01  4.538394270E+01  5.109989314E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.452463803E+01 -3.479973277E+01  1.812123684E+01  4.626941210E+01  8.596304120E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.166306040E+00  4.688133121E+00  2.445420902E+00  5.714154129E+00  1.228781231E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.73871E+01 -1.00000E+00  1.71503E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  3.078297741E+02  3.078297741E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.313007603E+00  9.313007603E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.042004158E+01 -1.391881020E+01  2.107649387E+02  2.276850049E+02  8.435811484E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.453467987E+01  2.319594376E+01  2.159940291E+01  3.486893936E+01  5.109983752E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -4.114638284E+00 -3.711475397E+01  1.891655357E+02  1.928160655E+02  5.394796609E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -1.042004158E+01  1.391881020E+01  8.775182785E+01  8.945777683E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.80710E+00 -1.00000E+00  2.27619E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.494780000E+00  1.494780000E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.499468658E+03  1.499468658E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.803609166E+00  2.013812563E-01 -1.475942850E+03  1.478179921E+03  8.108551761E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.257724945E+01  8.552924596E+00 -1.017547369E+03  1.018104650E+03  5.105427559E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.838085862E+01 -8.351543339E+00 -4.583954805E+02  4.600752711E+02  1.705984480E-05  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -5.803609166E+00 -2.013812563E-01 -2.203102825E+01  2.278351684E+01  1.327458468E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.63950E+00 -1.00000E+00  2.49066E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.567592157E+02  2.567592157E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -7.735416446E+00  7.735416446E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.391092875E+00 -1.497751303E+00  2.465115668E+02  2.592186235E+02  8.003010195E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.093525590E+01  1.435807047E+01  7.422139101E+00  1.951466521E+01  5.109971168E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  6.544163021E+00 -1.585582178E+01  2.390894277E+02  2.397039583E+02  6.607249480E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.391092875E+00  1.497751303E+00  2.512232393E+00  5.276008643E+00  5.161913656E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.65599E+00 -1.00000E+00  2.48744E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.644465705E+00  1.644465705E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.116584336E+03  1.116584336E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.585861362E+00  8.050485075E-01 -1.040919835E+03  1.044062476E+03  8.081257882E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.116247881E+01 -2.420766686E+01 -3.580051964E+02  3.601733359E+02  5.110413120E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.657661745E+01  2.501271537E+01 -6.829146390E+02  6.838891406E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  4.585861362E+00 -8.050485075E-01 -7.402003544E+01  7.416632574E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.42895E+01 -1.00000E+00  1.59656E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  6.695347081E+00  6.695347081E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.598586957E+02  6.598586957E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.710323261E+01  1.724703007E+01 -6.187121585E+02  6.244011649E+02  8.051148394E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.107912404E+01 -2.000156978E+01 -2.815438102E+02  2.830394130E+02  5.109701195E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.818235665E+01  3.724859984E+01 -3.371683483E+02  3.413617519E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.710323261E+01 -1.724703007E+01 -3.445119005E+01  4.215287781E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.44115E+00 -1.00000E+00  2.20716E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.498325675E+01  1.498325675E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -6.172451136E+02  6.172451136E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.225116890E+00  1.654187791E+00 -7.560287191E+01  1.055299986E+02  7.334369733E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.100950769E+01  3.146723819E+01 -5.789567589E+01  6.680797577E+01  5.109994876E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.723462458E+01 -2.981305040E+01 -1.770719602E+01  3.872202280E+01  5.840038640E-07  0.00000E+00  9.000E+00
       4     1     1     2   511     0  6.225116890E+00 -1.654187791E+00 -5.266589850E+02  5.266983718E+02  7.629394531E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.66592E+00 -1.00000E+00  2.72610E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  2.735356749E+00  2.735356749E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.460342221E+02  7.460342221E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.440960649E+00 -3.370844145E+00 -7.365450174E+02  7.410849566E+02  8.182243696E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.392752788E+01 -2.853943812E+00 -1.666067930E+02  1.700501268E+02  5.110163958E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.536848853E+01 -5.169003329E-01 -5.699382244E+02  5.710348298E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.440960649E+00  3.370844145E+00 -6.753847898E+00  7.684622260E+00  8.429369702E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.04406E+01 -1.00000E+00  1.93560E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.626203449E+01  7.626203449E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -5.552561511E+01  5.552561511E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.196884311E+00  9.055333762E+00  5.647069433E+01  9.455936624E+01  7.512341679E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.126336170E+01  2.589298390E+01  6.390637009E+01  6.986654472E+01  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.646024601E+01 -1.683765013E+01 -7.435675768E+00  2.469282153E+01  7.001960352E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -5.196884311E+00 -9.055333762E+00 -3.573427495E+01  3.722828336E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.44168E+01 -1.00000E+00  1.78973E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.983138295E+00  2.983138295E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -8.372514516E+02  8.372514516E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.394433132E+01  3.660493569E+00 -6.087447172E+02  6.142506613E+02  8.078304638E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  4.969941259E+00 -3.651018531E+01 -2.337233039E+02  2.366099675E+02  5.109772392E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.891427258E+01  4.017067888E+01 -3.750214133E+02  3.776406938E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.394433132E+01 -3.660493569E+00 -2.255235961E+02  2.259839286E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.03913E+01 -1.00000E+00  1.93793E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  3.321293199E+02  3.321293199E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.106039301E+01  1.106039301E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -9.845716532E+00  3.322675052E+00  1.429083426E+02  1.647263495E+02  8.126498332E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.117548958E+01 -2.903874207E+01  8.441823967E+01  9.456002792E+01  5.109977078E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.132977304E+01  3.236141712E+01  5.849010296E+01  7.016632156E+01  1.168007728E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  9.845716532E+00 -3.322675052E+00  1.781605843E+02  1.784633635E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.28815E+00 -1.00000E+00  3.37643E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  8.354337374E+00  8.354337374E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -4.728077553E+02  4.728077553E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.301546425E-02 -2.288035100E+00 -4.690952667E+02  4.759869217E+02  8.067183338E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -8.134561482E+00 -1.313404533E+01 -1.449329790E+01  2.118324625E+01  5.109987924E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  8.111546018E+00  1.084601023E+01 -4.546019688E+02  4.548036754E+02  7.629394531E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  2.301546425E-02  2.288035100E+00  4.641848816E+00  5.175170989E+00  4.578319638E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.97803E+00 -1.00000E+00  2.42834E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  7.292138128E+00  7.292138128E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.065064858E+02  5.065064858E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.482633495E+00 -3.556967449E+00 -5.009563661E+02  5.085245950E+02  8.726512628E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.015368767E+01 -2.464624839E+01 -4.702371845E+01  5.405335355E+01  5.109977078E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  6.671054171E+00  2.108928094E+01 -4.539326476E+02  4.544712415E+02  1.078959322E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511  3.482633495E+00  3.556967449E+00  1.742018362E+00  5.274028960E+00  3.291774099E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.98353E+00 -1.00000E+00  2.01235E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.146618840E+02  2.146618840E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -8.482472048E+00  8.482472048E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.017279556E+00  8.035257491E+00  1.658875644E+02  1.818631633E+02  7.399204171E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  9.647804244E+00  3.907307818E+01  9.904554922E+01  1.069102726E+02  5.109932582E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.366508380E+01 -3.103782069E+01  6.684201522E+01  7.495289072E+01  9.536743164E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0  4.017279556E+00 -8.035257491E+00  4.029184756E+01  4.128119278E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.36559E+01 -1.00000E+00  1.49617E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.099908218E+01  2.099908218E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.185961507E+02  2.185961507E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.811654904E+01 -1.849800790E+01 -1.841718080E+02  2.033605224E+02  7.939477672E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  9.562847044E+00  1.099422688E+01 -1.310838370E+02  1.318912180E+02  5.110057170E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.767939608E+01 -2.949223478E+01 -5.308797106E+01  7.146930441E+01  1.168007728E-06  0.00000E+00  9.000E+00
       3     1     1     2   511     0  2.811654904E+01  1.849800790E+01 -1.342526052E+01  3.623471051E+01  6.078504936E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.17893E+00 -1.00000E+00  2.58967E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  6.631219396E+01  6.631219396E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -2.730125307E+01  2.730125307E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.098634790E+00  2.803906058E+00  4.005247270E+01  8.930668313E+01  7.971210483E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.393112842E+00  1.311799774E+01 -2.177695627E+01  2.647594770E+01  5.109999326E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.294478053E+00 -1.031409168E+01  6.182942897E+01  6.283073543E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501  3.098634790E+00 -2.803906058E+00 -1.041531811E+00  4.306763896E+00  9.996002812E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.77655E+01 -1.00000E+00  1.46374E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.270156277E+02  5.270156277E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -8.175018215E+00  8.175018215E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.577663612E+01 -2.760074939E+01  4.201326440E+02  4.295047964E+02  8.084983144E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.330920104E+01  1.630677503E+01  2.175446612E+02  2.185605759E+02  5.109701195E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.908583716E+01 -4.390752443E+01  2.025879828E+02  2.109442205E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.577663612E+01  2.760074939E+01  9.870796551E+01  1.056858495E+02  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.58885E+01 -1.00000E+00  1.75015E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.058467386E+01  1.058467386E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -2.674180554E+02  2.674180554E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.069585035E+01  1.174911423E+01 -1.643003064E+02  1.841154942E+02  8.155661618E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.246735950E+00 -1.899318613E+01 -1.389172532E+02  1.403967932E+02  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.794258630E+01  3.074230035E+01 -2.538305322E+01  4.371870109E+01  1.118282261E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.069585035E+01 -1.174911423E+01 -9.253307512E+01  9.388723498E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.20996E+01 -1.00000E+00  1.62830E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.495207064E+02  2.495207064E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.042920917E+02  1.042920917E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.084143846E+01 -7.350414191E+00  2.415201564E+02  2.550177823E+02  7.882695703E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -5.589000212E+00  2.596930527E+01  3.380447336E+01  4.299283846E+01  5.109941481E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.643043867E+01 -3.331971946E+01  2.077156831E+02  2.120249438E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -2.084143846E+01  7.350414191E+00 -9.629154169E+01  9.879501580E+01  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.88451E+01 -1.00000E+00  1.68486E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.405725804E+02  5.405725804E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -8.399405731E+00  8.399405731E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  8.718772993E+00  1.670689237E+01  5.201258355E+02  5.266051438E+02  8.016829450E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.604486999E+00 -1.605628790E+01  2.414141365E+01  2.953002724E+01  5.109951493E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.114285994E+00  3.276318027E+01  4.959844219E+02  4.970751165E+02  1.618438983E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -8.718772993E+00 -1.670689237E+01  1.204733914E+01  2.236684233E+01  8.085167388E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.24217E+00 -1.00000E+00  2.34897E-01
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.314963296E+01  3.314963296E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -5.821093634E+01  5.821093634E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.994953901E+00 -1.590829474E+00 -2.664633607E+01  8.588401642E+01  8.147733885E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.275103258E+01  1.886560791E+01  1.390312698E+01  3.266217362E+01  5.109991539E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.774598648E+01 -2.045643739E+01 -4.054946306E+01  5.322184280E+01  4.768371582E-07  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -4.994953901E+00  1.590829474E+00  1.585032691E+00  5.476552887E+00  8.940696716E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.16115E+01 -1.00000E+00  1.34064E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  7.242057405E+02  7.242057405E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.154506908E+00  9.154506908E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  6.138439162E+01  5.285268855E+00  4.106622952E+02  4.227984928E+02  7.949256080E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.753533199E+01 -1.784883664E+01  2.248578276E+02  2.354583714E+02  5.109772392E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.150940364E+00  2.313410550E+01  1.858044676E+02  1.873401214E+02  3.814697266E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -6.138439162E+01 -5.285268855E+00  3.043889384E+02  3.105617546E+02  6.607249480E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.25396E+01 -1.00000E+00  1.84990E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.638968764E+02  1.638968764E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.352029137E+01  1.352029137E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.290565756E+00 -1.084757458E+01  1.238891925E+02  1.481114848E+02  8.019500494E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.116452568E+01 -3.160490553E+01  9.775735451E+01  1.048966518E+02  5.109932582E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.745509143E+01  2.075733094E+01  2.613183804E+01  4.321483302E+01  7.539457465E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  6.290565756E+00  1.084757458E+01  2.648739248E+01  2.930568293E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.31016E+00 -1.00000E+00  3.35992E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.653427544E+01  2.653427544E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -8.152535956E+01  8.152535956E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.571213457E+00 -1.693554657E+00 -3.265336900E+01  8.560277956E+01  7.909650133E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.558537697E+01 -2.424650462E+01  3.067379353E+00  3.538238711E+01  5.109991383E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.715659043E+01  2.255294997E+01 -3.572074835E+01  5.022039246E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.571213457E+00  1.693554657E+00 -2.233771512E+01  2.245685544E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.39406E+01 -1.00000E+00  1.27323E-01
      -4    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  9.040671265E+02  9.040671265E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.647176752E+01  1.647176752E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.402772145E+01  5.428150653E+01  7.521726837E+02  7.612111436E+02  8.144094794E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.828255671E+01 -4.590109992E+00  4.804471591E+02  4.819918007E+02  5.111124946E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.574516474E+01  5.887161652E+01  2.717255246E+02  2.792193429E+02  3.814697266E-06  0.00000E+00  9.000E+00
      -3     1     1     2     0   511  6.402772145E+01 -5.428150653E+01  1.354226752E+02  1.593277504E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.95602E+00 -1.00000E+00  2.64497E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  3.101052258E+02  3.101052258E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -5.375556583E+00  5.375556583E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.738703638E+00  3.553447304E+00  2.897332216E+02  2.999713170E+02  7.760026541E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.791252048E+01 -2.754931000E+01  6.845814870E+01  7.593642733E+01  5.110021574E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.617381685E+01  3.110275730E+01  2.212750729E+02  2.240348896E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.738703638E+00 -3.553447304E+00  1.499644755E+01  1.550946540E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.55796E+01 -1.00000E+00  1.57971E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  8.841459057E+00  8.841459057E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -3.569268857E+02  3.569268857E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.557585844E+01 -4.378569615E-01 -2.354298289E+02  2.502451871E+02  8.087727167E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.753181151E+01 -1.250300048E+01 -9.071613634E+01  9.562292119E+01  5.109950380E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -5.310766995E+01  1.206514352E+01 -1.447136925E+02  1.546222659E+02  2.697398305E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  2.557585844E+01  4.378569615E-01 -1.126555978E+02  1.155231577E+02  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.69290E+00 -1.00000E+00  2.18271E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.257606923E+02  7.257606923E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -4.415415515E+01  4.415415515E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.095282135E+00 -2.764494519E+00  7.232089906E+02  7.277774647E+02  8.114184531E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.618645437E+01 -2.572442562E+00  9.055425134E+01  9.429963038E+01  5.109772392E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.228173651E+01 -1.920519569E-01  6.326547393E+02  6.334778343E+02  2.288818359E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0  6.095282135E+00  2.764494519E+00 -4.160245346E+01  4.213738279E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.72713E+01 -1.00000E+00  1.71758E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.427213639E+01  2.427213639E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -2.781280620E+02  2.781280620E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.637353330E+01 -5.496043418E+00 -4.872561927E+01  9.654407954E+01  8.153695013E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  7.946375893E+00  2.364353581E+01 -5.277616807E+01  5.837367207E+01  5.109990427E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.431990919E+01 -2.913957923E+01  4.050548800E+00  3.817040747E+01  1.377370359E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  1.637353330E+01  5.496043418E+00 -2.051303063E+02  2.058561188E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.75642E+00 -1.00000E+00  3.08341E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.809595621E+02  5.809595621E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -2.837999002E+00  2.837999002E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.440029962E+00 -2.350354529E+00  5.697270465E+02  5.749620780E+02  7.736204348E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  9.202888977E+00  2.107128639E+01  5.075128398E+02  5.080334387E+02  5.111124946E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -7.762859015E+00 -2.342164092E+01  6.221420673E+01  6.692863933E+01  3.932099939E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.440029962E+00  2.350354529E+00  8.394516561E+00  8.835483065E+00  1.192092896E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.30049E+01 -1.00000E+00  1.83378E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.614030576E+02  5.614030576E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -4.395510923E+00  4.395510923E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.018498894E+01  8.086540891E+00  5.193160349E+02  5.259265708E+02  8.210047268E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.606538437E+01 -2.124016848E-01  4.022955024E+02  4.031390835E+02  5.109131583E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.625037331E+01  8.298942576E+00  1.170205325E+02  1.227874873E+02  2.336015456E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.018498894E+01 -8.086540891E+00  3.769151175E+01  3.987199771E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.12375E+00 -1.00000E+00  2.91507E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  9.927697843E+02  9.927697843E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.735187933E+00  1.735187933E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.115980316E-01  3.016472698E+00  9.467052011E+02  9.500656531E+02  7.977624734E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.568839280E+01  7.873885835E-01  1.109609356E+02  1.138983878E+02  5.110235148E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.649999083E+01  2.229084114E+00  8.357442655E+02  8.361672654E+02  1.868812365E-05  0.00000E+00  9.000E+00
      21     1     1     2   511   501  8.115980316E-01 -3.016472698E+00  4.432939519E+01  4.443931904E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.63792E+00 -1.00000E+00  2.18792E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.957047325E+01  8.957047325E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -3.737518003E+01  3.737518003E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.829797852E+00 -3.174191976E+00  7.016467915E+01  1.077894306E+02  8.155622050E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.702100572E+01 -3.035851198E+01  7.261412608E+00  3.555393084E+01  5.109979372E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.285080357E+01  2.718432000E+01  6.290326655E+01  7.223549972E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -5.829797852E+00  3.174191976E+00 -1.796938594E+01  1.915622271E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.06582E+00 -1.00000E+00  2.07141E-01
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.574306556E+01  3.574306556E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.598785155E+02  1.598785155E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.351482882E+00  3.318602165E+00 -1.091552107E+01  8.211471027E+01  8.098530497E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  7.608408236E+00  9.615679361E+00  3.304865738E+01  3.525000596E+01  5.109988202E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.495989112E+01 -6.297077196E+00 -4.396417845E+01  4.686470431E+01  1.168007728E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511  7.351482882E+00 -3.318602165E+00 -1.132199289E+02  1.135068708E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.83785E+01 -1.00000E+00  1.54699E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  2.306611126E+02  2.306611126E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -2.706549385E+01  2.706549385E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.773562260E+01  6.006160837E+00  3.786566300E+01  8.958453270E+01  7.606734737E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.748410348E+00 -2.972324258E+01  7.532864971E+00  3.139675535E+01  5.109987924E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.448403295E+01  3.572940342E+01  3.033279803E+01  5.818777735E+01  7.539457465E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501  2.773562260E+01 -6.006160837E+00  1.657299558E+02  1.681420738E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.12832E+00 -1.00000E+00  2.60175E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  9.040453692E+00  9.040453692E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.110528015E+02  2.110528015E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.340202521E+00  2.426115164E+00 -2.005811094E+02  2.157238809E+02  7.929040535E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.445941586E+01 -2.271553106E+01 -1.603834697E+02  1.638203764E+02  5.109807990E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.111921334E+01  2.514164622E+01 -4.019763971E+01  5.190350455E+01  1.430511475E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  3.340202521E+00 -2.426115164E+00 -1.431238386E+00  4.369374210E+00  1.381876841E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.64191E+01 -1.00000E+00  1.73718E-01
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.248062679E+01  3.248062679E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -7.996095690E+01  7.996095690E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  8.991986711E+00  1.373791599E+01 -2.688725505E+01  8.610414074E+01  8.013371579E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.871797485E+01 -2.558502186E+01 -3.227478931E+01  4.523956179E+01  5.109968179E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -9.725988134E+00  3.932293785E+01  5.387534262E+00  4.086457894E+01  1.205429340E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -8.991986711E+00 -1.373791599E+01 -2.059307506E+01  2.633744295E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.44978E+01 -1.00000E+00  1.48909E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  1.867117084E+01  1.867117084E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.972365165E+02  1.972365165E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.004814071E+01  3.300197758E+01 -1.391326003E+02  1.635145860E+02  7.867047560E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.596715195E+01 -2.331875342E+01 -5.865771745E+01  6.511099768E+01  5.110003775E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -5.919011237E+00  5.632073100E+01 -8.047488282E+01  9.840358835E+01  2.336015456E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511 -1.004814071E+01 -3.300197758E+01 -3.943274537E+01  5.239310129E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.05693E+01 -1.00000E+00  1.38767E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.939438710E+01  1.939438710E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.277978510E+02  3.277978510E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.978744308E+01  4.653715812E+01 -1.265408840E+02  1.584298267E+02  8.080943430E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.202747010E+01  6.519729451E+01 -1.024812316E+02  1.256138881E+02  5.110003775E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.224002702E+01 -1.866013639E+01 -2.405965234E+01  3.281593854E+01  8.920806376E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.978744308E+01 -4.653715812E+01 -1.818625799E+02  1.887624114E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.42031E+01 -1.00000E+00  1.79598E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.115099708E+02  6.115099708E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -3.687871971E+00  3.687871971E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.753326548E+00 -1.338409080E+01  5.217342736E+02  5.279462430E+02  7.949122788E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.880440719E+01  2.846510219E+01  2.940027938E+02  2.959755236E+02  5.110128362E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.405108064E+01 -4.184919299E+01  2.277314797E+02  2.319707195E+02  6.607249480E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.753326548E+00  1.338409080E+01  8.608782531E+01  8.725159979E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.57583E+01 -1.00000E+00  1.32584E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.446832209E+02  2.446832209E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.101729102E+01  3.101729102E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.627816388E+01  6.027940346E+01  9.661311325E+01  1.414413958E+02  7.967073753E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  5.643577342E+00  6.001114144E+01  9.081241136E+01  1.089957849E+02  5.109968179E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.192174122E+01  2.682620219E-01  5.800701893E+00  3.244561094E+01  2.920019320E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0  2.627816388E+01 -6.027940346E+01  1.170528166E+02  1.342591161E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.11768E+00 -1.00000E+00  2.36678E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  3.831235993E+01  3.831235993E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.325658643E+03  1.325658643E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.648867328E+00 -2.139778174E+00 -1.324259071E+03  1.326705139E+03  8.036322547E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.284098835E+01  1.220861973E+01 -6.888468544E+01  7.112693770E+01  5.110341932E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.748985568E+01 -1.434839791E+01 -1.255374386E+03  1.255578202E+03  2.642899792E-05  0.00000E+00  9.000E+00
      -3     1     1     2     0   511 -4.648867328E+00  2.139778174E+00  3.691278851E+01  3.726586338E+01  2.185142372E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.41492E+01 -1.00000E+00  1.49199E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  3.625229249E+02  3.625229249E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.152857197E+01  1.152857197E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.275918783E+00 -3.388041923E+01  1.893520331E+02  2.088413100E+02  8.120550494E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.383422527E+01 -1.420966050E+01  1.580214350E+01  3.193262415E+01  5.109974019E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.811014405E+01 -1.967075873E+01  1.735498896E+02  1.769086858E+02  4.264961200E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  4.275918783E+00  3.388041923E+01  1.616423198E+02  1.652101869E+02  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.41457E+00 -1.00000E+00  2.53671E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  2.340718518E+01  2.340718518E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -8.513736189E+02  8.513736189E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.441665138E+00 -3.677861202E+00 -8.492330835E+02  8.530607952E+02  8.060025990E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.087906518E+01 -2.555808850E+01 -4.847161745E+02  4.863707458E+02  5.109416397E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.332073032E+01  2.188022730E+01 -3.645169090E+02  3.666900495E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -2.441665138E+00  3.677861202E+00  2.126664977E+01  2.172000884E+01  2.008950656E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.71945E+00 -1.00000E+00  2.47523E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.961924086E+00  1.961924086E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.117346194E+03  1.117346194E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.677241018E+00 -6.297832520E-01 -1.104455769E+03  1.107404113E+03  8.061668605E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.603455239E+01  1.496399183E+01 -7.980938604E+02  7.990470700E+02  5.107707276E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.135731137E+01 -1.559377508E+01 -3.063619086E+02  3.083570428E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -4.677241018E+00  6.297832520E-01 -1.092850087E+01  1.190400528E+01  6.637292341E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.96889E+01 -1.00000E+00  1.66891E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.384224231E+02  1.384224231E+02  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.015255576E+01  4.015255576E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.853239066E+01  6.648642451E+00  6.180191996E+00  8.440405843E+01  8.184250947E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.736050682E+00 -1.512669533E+01  3.944714706E+01  4.263562595E+01  5.109983752E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.279633998E+01  2.177533778E+01 -3.326695506E+01  4.176843248E+01  9.536743164E-07  0.00000E+00  9.000E+00
       3     1     1     2   511     0 -1.853239066E+01 -6.648642451E+00  9.208967534E+01  9.417092043E+01  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.28592E+01 -1.00000E+00  1.83873E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.294989404E+02  3.294989404E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -6.606105154E+01  6.606105154E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  8.624274391E+00  9.538454664E+00  3.234617097E+02  3.341741686E+02  8.294297518E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -5.377325503E+00 -2.025986009E+01  2.737316613E+02  2.745330580E+02  5.109843588E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.400159989E+01  2.979831476E+01  4.973004841E+01  5.964111063E+01  1.651812370E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -8.624274391E+00 -9.538454664E+00 -6.002382086E+01  6.138582325E+01  1.507891493E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.69197E+00 -1.00000E+00  2.03006E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.560934561E+02  3.560934561E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -6.180429875E+00  6.180429875E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  8.312280921E-01  8.652136119E+00  3.390637446E+02  3.483721843E+02  7.951984310E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.247339165E+01 -1.235761914E+01  3.826478958E+01  4.606471757E+01  5.109885860E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.164216356E+01  2.100975525E+01  3.007989550E+02  3.023074667E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -8.312280921E-01 -8.652136119E+00  1.084928163E+01  1.390170175E+01  4.460403188E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.78992E+01 -1.00000E+00  1.70403E-01
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.114253167E+02  2.114253167E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -3.671699208E+01  3.671699208E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.588233242E+01  8.254169662E+00  1.994405536E+02  2.176126028E+02  8.519583721E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.304776214E+01  8.171274214E+00  1.843339230E+02  1.849756984E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.893009456E+01  8.289544849E-02  1.510663060E+01  3.263690443E+01  1.305872339E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511  1.588233242E+01 -8.254169662E+00 -2.473222894E+01  3.052970600E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.51235E+00 -1.00000E+00  2.31263E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.348553683E+02  1.348553683E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.586187338E+01  1.586187338E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.532506284E+00  3.137249782E+00  9.136366316E+01  1.225428996E+02  8.148041080E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.802355134E+01 -4.292153514E+00  7.571944892E+01  8.483895322E+01  5.109968179E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.349104506E+01  7.429403296E+00  1.564421424E+01  3.770394637E+01  1.118282261E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  4.532506284E+00 -3.137249782E+00  2.762983181E+01  2.817434214E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.10317E+00 -1.00000E+00  3.52974E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  9.438431098E+00  9.438431098E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.809081714E+02  1.809081714E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.082607163E+00 -2.933930901E-01 -1.645085365E+02  1.830746226E+02  8.030464217E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.492885744E+01 -1.178843829E+00 -1.111760422E+01  2.732103091E+01  5.109999465E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.701146460E+01  8.854507388E-01 -1.533909322E+02  1.557535917E+02  4.264961200E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.082607163E+00  2.933930901E-01 -6.961203815E+00  7.271979830E+00  8.429369702E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.78933E+01 -1.00000E+00  1.70415E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.775253708E+02  5.775253708E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -4.450626103E+00  4.450626103E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.931170592E+00  1.603957970E+01  4.355172132E+02  4.432595737E+02  8.052102293E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.427594390E+01  2.489019302E+01  3.652153602E+02  3.676637341E+02  5.109701195E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.634477331E+01 -8.850613323E+00  7.030185300E+01  7.559583965E+01  2.861022949E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  7.931170592E+00 -1.603957970E+01  1.375575315E+02  1.387164232E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.55022E+00 -1.00000E+00  2.19638E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.572450470E+02  6.572450470E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.145218932E+00  3.145218932E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.829184152E+00 -4.425426737E+00  6.391515104E+02  6.440697996E+02  7.917289967E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.195223533E+01 -2.833056843E+01  5.649840761E+02  5.658201863E+02  5.111694336E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  7.123051177E+00  2.390514169E+01  7.416743433E+01  7.824961325E+01  5.478441855E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  4.829184152E+00  4.425426737E+00  1.494831767E+01  1.632046637E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.69943E+00 -1.00000E+00  2.18210E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.170987069E+00  3.170987069E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -8.080931360E+02  8.080931360E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.670330558E+00 -6.237573798E-01 -5.322579863E+02  5.385176695E+02  8.159555097E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.488074654E+01 -2.242294499E+01 -3.811681566E+02  3.826369083E+02  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.155107710E+01  2.179918761E+01 -1.510898298E+02  1.558807612E+02  5.046370146E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  6.670330558E+00  6.237573798E-01 -2.726641626E+02  2.727464536E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.46142E+00 -1.00000E+00  2.31925E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.382810379E+02  1.382810379E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.508793991E+01  1.508793991E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.873470417E+00  3.850101475E+00  9.696167927E+01  1.265750535E+02  8.117789019E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  8.618375176E+00 -8.624800798E+00  1.083476015E+02  1.090314924E+02  5.110021574E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.744904759E+00  1.247490227E+01 -1.138592227E+01  1.754356104E+01  7.348554138E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -3.873470417E+00 -3.850101475E+00  2.623141872E+01  2.679392435E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.10026E+01 -1.00000E+00  1.52020E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.109502912E+02  1.109502912E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -3.387008353E+01  3.387008353E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.984394852E+01  8.396252125E+00  7.361494012E+01  1.136247598E+02  8.081007557E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  4.755525922E+00 -7.687096349E+00  7.490462001E+01  7.544805217E+01  5.110030473E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.459947444E+01  1.608334847E+01 -1.289679892E+00  3.817670761E+01  2.004746206E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.984394852E+01 -8.396252125E+00  3.465267562E+00  3.119561495E+01  5.092623082E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.44953E+00 -1.00000E+00  4.56305E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.005833261E+02  1.005833261E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.423908738E+01  1.423908738E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.443079697E+00  1.366375787E-01  8.169704756E+01  1.099544021E+02  7.357623135E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.649009965E+01  1.587326756E+01  8.491448196E+01  8.794517187E+01  5.109994876E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.504701995E+01 -1.573662998E+01 -3.217434396E+00  2.200923026E+01  4.359703910E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.443079697E+00 -1.366375787E-01  4.647191136E+00  4.868011328E+00  5.960464478E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.70443E+01 -1.00000E+00  1.46906E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.921035076E+00  4.921035076E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -8.069283703E+02  8.069283703E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.021946453E+01 -3.103956328E+01 -5.064739459E+02  5.140033622E+02  7.944379923E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.046796773E+01 -6.072983459E+00 -4.156320183E+02  4.176416073E+02  5.109131583E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.024850320E+01 -2.496657982E+01 -9.084192766E+01  9.636175491E+01  3.303624740E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.021946453E+01  3.103956328E+01 -2.955333893E+02  2.978460432E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.10538E+01 -1.00000E+00  1.90803E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  5.396887311E+01  5.396887311E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.159497698E+01  4.159497698E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.051250536E+00 -8.512765513E+00  3.040016698E+00  8.109634803E+01  8.028193228E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.248868665E+01  3.105274589E+01 -1.593281120E+00  3.837385307E+01  5.109985330E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.543743611E+01 -3.956551141E+01  4.633297818E+00  4.272249496E+01  8.429369702E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.051250536E+00  8.512765513E+00  9.333879432E+00  1.446750207E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.53589E+00 -1.00000E+00  2.51137E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  2.290544724E+00  2.290544724E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.432446227E+03  1.432446227E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.104558147E+00  4.399350558E+00 -1.426789343E+03  1.429088181E+03  8.089886482E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.166946445E-01 -3.682790568E+01 -4.851606122E+02  4.865564317E+02  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.321252791E+00  4.122725623E+01 -9.416287308E+02  9.425317496E+02  1.868812365E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.104558147E+00 -4.399350558E+00 -3.366339383E+00  5.648590521E+00  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.36165E+01 -1.00000E+00  1.81387E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  3.920635215E+02  3.920635215E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.496727113E+01  1.496727113E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.686241436E+00 -1.278463369E+01  1.011388662E+02  1.307376773E+02  8.171818821E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.362325106E+01 -3.065831656E+01  9.960649248E+01  1.051046083E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.830949250E+01  1.787368288E+01  1.532373721E+00  2.563306896E+01  9.083599242E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -4.686241436E+00  1.278463369E+01  2.759573841E+02  2.762931153E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.64065E+01 -1.00000E+00  1.32364E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.987439706E+02  1.987439706E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -4.467704432E+01  4.467704432E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.628187490E+01  4.066537345E+00  1.398746145E+02  1.755148637E+02  8.264826630E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -5.467386597E+01 -3.468836552E+01  9.641637155E+01  1.161405658E+02  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.160800893E+01  3.875490286E+01  4.345824297E+01  5.937429788E+01  1.581489940E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  6.628187490E+01 -4.066537345E+00  1.419231180E+01  6.790615127E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.54861E+01 -1.00000E+00  1.48108E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  1.492590494E+03  1.492590494E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -2.625195728E+00  2.625195728E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.608892106E+00 -3.530207589E+01  9.639709964E+02  9.680257180E+02  8.108297103E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.536091491E+00  2.204110072E+01  5.012503410E+02  5.017370567E+02  5.110270743E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -5.144983597E+00 -5.734317660E+01  4.627206554E+02  4.662886613E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  3.608892106E+00  3.530207589E+01  5.259943021E+02  5.271899719E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.25295E+00 -1.00000E+00  2.57246E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.575212553E+01  2.575212553E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -7.073124877E+01  7.073124877E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.190699954E+00  7.249910975E-01 -3.870812097E+01  8.890623450E+01  7.992441633E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  4.136416809E+01 -3.544489113E+00 -2.767917974E+01  4.989684154E+01  5.109992651E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.717346813E+01  4.269480211E+00 -1.102894123E+01  3.900939296E+01  8.760057960E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -4.190699954E+00 -7.249910975E-01 -6.271002267E+00  7.577139805E+00  1.460009660E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.50461E+00 -1.00000E+00  2.11299E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  3.237025358E+02  3.237025358E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -8.615521487E+00  8.615521487E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  3.878307360E+00 -6.424786741E+00  1.815954983E+02  1.986157611E+02  8.009354787E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.249345773E+00 -1.251097811E+01  1.849356078E+02  1.855000179E+02  5.109914783E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.112765313E+01  6.086191370E+00 -3.340109519E+00  1.311574326E+01  4.042583694E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -3.878307360E+00  6.424786741E+00  1.334915160E+02  1.337022961E+02  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.00846E+00 -1.00000E+00  2.63146E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  8.839006777E+02  8.839006777E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -2.159201608E+01  2.159201608E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.753356101E+00  1.407155072E+00  8.819746723E+02  8.854223239E+02  7.795704752E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.782102294E+01 -5.784673742E+00  6.146476112E+02  6.158372985E+02  5.111694336E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.406766684E+01  7.191828814E+00  2.673270612E+02  2.695850255E+02  8.529922400E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  3.753356101E+00 -1.407155072E+00 -1.966601074E+01  2.007036985E+01  9.233911863E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.61225E+00 -1.00000E+00  2.03506E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  2.282006214E+01  2.282006214E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.109136760E+02  1.109136760E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  8.305252249E+00 -2.278962256E+00 -9.514582545E+01  1.226024950E+02  7.684056745E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.344383869E+01 -7.510210376E+00 -9.014656526E+01  9.644323115E+01  5.110003775E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.513858644E+01  5.231248120E+00 -4.999260189E+00  2.615926389E+01  8.429369702E-08  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -8.305252249E+00  2.278962256E+00  7.052211607E+00  1.113124308E+01  2.795705652E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.06014E+00 -1.00000E+00  2.94140E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  9.740082205E+02  9.740082205E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.783015502E+01  2.783015502E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.885837146E+00 -1.018032986E+00  9.721869106E+02  9.756501248E+02  8.207565154E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.851143847E+00 -2.408665046E+01  9.147041906E+01  9.463156616E+01  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.469329870E-02  2.306861748E+01  8.807164915E+02  8.810185587E+02  2.157918644E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0  2.885837146E+00  1.018032986E+00 -2.600884512E+01  2.618825064E+01  2.132480600E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.12973E+00 -1.00000E+00  2.60141E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.574314799E+02  6.574314799E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.777605016E+00  2.777605016E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.934743234E+00  2.905501868E+00  6.204677564E+02  6.257744315E+02  8.121790274E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  7.748739267E+00  2.481667549E+01  5.694379957E+02  5.700311758E+02  5.112263662E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -4.813996033E+00 -2.191117362E+01  5.102976064E+01  5.574325572E+01  2.523185073E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -2.934743234E+00 -2.905501868E+00  3.418611851E+01  3.443465345E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.84968E+01 -1.00000E+00  1.69175E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  6.216650974E+00  6.216650974E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.194301273E+02  4.194301273E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  8.741028502E+00 -1.630115721E+01 -3.667855956E+02  3.756699695E+02  7.908299151E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.979376797E+01  7.958181421E+00 -3.002135085E+01  3.682943672E+01  5.110039372E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.853479647E+01 -2.425933863E+01 -3.367642447E+02  3.388405328E+02  5.394796609E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -8.741028502E+00  1.630115721E+01 -4.642788075E+01  4.997680879E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.09140E+01 -1.00000E+00  1.91411E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.062723705E+02  5.062723705E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -4.122760907E+00  4.122760907E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.083866975E+01  1.279749819E+00  4.342854532E+02  4.416589819E+02  7.962215107E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.638998684E+01  2.289683172E+01  2.489313822E+02  2.513712978E+02  5.110057170E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.722865659E+01 -2.161708190E+01  1.853540710E+02  1.902876841E+02  2.697398305E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -1.083866975E+01 -1.279749819E+00  6.786415646E+01  6.873614954E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.66813E+00 -1.00000E+00  1.97408E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.060167524E+03  1.060167524E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -7.917368214E+00  7.917368214E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  9.378181715E+00  2.349973514E+00  1.055119552E+03  1.057999948E+03  7.741542687E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.292136950E+01 -2.321438805E+00  5.957136616E+02  5.966271636E+02  5.112263662E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.229955121E+01  4.671412319E+00  4.594058902E+02  4.613727843E+02  5.394796609E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -9.378181715E+00 -2.349973514E+00 -2.869396100E+00  1.008494431E+01  9.127493400E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.15940E+00 -1.00000E+00  2.90075E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.030806414E+01  3.030806414E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -6.755645059E+01  6.755645059E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.974824450E+00 -2.466145896E+00 -1.015158497E+01  7.058414712E+01  6.977883160E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.197113617E+01  2.248461148E+01  1.742807751E+01  3.086427936E+01  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.394596062E+01 -2.495075737E+01 -2.757966249E+01  3.971986775E+01  5.840038640E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  1.974824450E+00  2.466145896E+00 -2.709680147E+01  2.728036761E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.86542E+01 -1.00000E+00  1.68862E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  5.099510548E+02  5.099510548E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -7.273606888E+00  7.273606888E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.776571041E+00  1.826787850E+01  4.840732912E+02  4.908790259E+02  7.929242727E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.531004291E+01 -2.533571057E+01  1.149895229E+02  1.187387301E+02  5.110039372E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.908661395E+01  4.360358908E+01  3.690837682E+02  3.721402958E+02  9.344061824E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  3.776571041E+00 -1.826787850E+01  1.860415673E+01  2.634563572E+01  9.536743164E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.65143E+00 -1.00000E+00  3.13998E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.336355368E+02  1.336355368E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.746672643E+01  1.746672643E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.650265351E+00  7.868266827E-02  7.117493872E+01  1.060303365E+02  7.854635733E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.785688263E+01  2.282421715E+01  6.956848770E+01  7.536303886E+01  5.110012675E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.050714798E+01 -2.274553448E+01  1.606451023E+00  3.066729759E+01  9.019819469E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.650265351E+00 -7.868266827E-02  4.499387167E+01  4.507192680E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.63307E+00 -1.00000E+00  2.18839E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  3.479445935E+00  3.479445935E+00  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.835071815E+02  5.835071815E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  6.265328556E+00  2.177899936E+00 -4.811630729E+02  4.878997004E+02  8.052463793E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.986103745E+01 -1.022517561E+01 -3.461967673E+02  3.476326185E+02  5.110413120E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.612636600E+01  1.240307554E+01 -1.349663056E+02  1.402670819E+02  1.907348633E-06  0.00000E+00  9.000E+00
       4     1     1     2   511     0 -6.265328556E+00 -2.177899936E+00 -9.886466266E+01  9.908692705E+01  1.907348633E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.28592E+00 -1.00000E+00  3.37812E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.905258367E+03  1.905258367E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -9.677662437E-01  9.677662437E-01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.174308573E+00 -1.961231799E+00  1.871704848E+03  1.873560299E+03  8.333025438E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.091222447E+01 -3.578790151E+01  5.052594334E+02  5.066428185E+02  5.113117532E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.208653304E+01  3.382666971E+01  1.366445415E+03  1.366917481E+03  2.157918644E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.174308573E+00  1.961231799E+00  3.258575258E+01  3.266583387E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.85038E+00 -1.00000E+00  2.16816E-01
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  1.785192872E+02  1.785192872E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.639117267E+01  1.639117267E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.946621656E+00 -6.184268837E+00  9.691060689E+01  1.293341603E+02  8.537406830E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.647289170E+01 -1.088607893E+01  7.471508185E+01  8.385178590E+01  5.109977078E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.941951335E+01  4.701810096E+00  2.219552504E+01  4.548237442E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.946621656E+00  6.184268837E+00  6.521750767E+01  6.557629958E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.73491E-01 -1.00000E+00  6.72955E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  1.936500194E+03  1.936500194E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -8.581410661E-01  8.581410661E-01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.403347887E-01 -9.433576531E-01  1.912262590E+03  1.913958614E+03  8.055068723E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  8.539388790E+00  3.883422471E+01  8.854352706E+02  8.863276125E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -8.299054001E+00 -3.977758236E+01  1.026827320E+03  1.027631001E+03  2.157918644E-05  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.403347887E-01  9.433576531E-01  2.337946219E+01  2.339972086E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.27829E+01 -1.00000E+00  1.84136E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  3.358136554E+02  3.358136554E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -8.562195995E+00  8.562195995E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.480434448E+00  1.154845939E+01  1.762982480E+02  1.928823726E+02  7.719543603E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.928286682E+00  3.680552575E+01  4.079745952E+01  5.502412463E+01  5.109997101E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.552147766E+00 -2.525706635E+01  1.355007884E+02  1.378582480E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -5.480434448E+00 -1.154845939E+01  1.509532115E+02  1.514934788E+02  2.697398305E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.22911E+00 -1.00000E+00  2.06015E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.979251258E+02  6.979251258E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.158847443E+00  3.158847443E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.405965943E-01  8.225593713E+00  6.646817949E+02  6.698943208E+02  8.299876025E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.852772032E+01  1.594655466E+01  5.627856356E+02  5.637337981E+02  5.112263662E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.876831691E+01 -7.720960946E+00  1.018961593E+02  1.061605227E+02  4.473129043E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  2.405965943E-01 -8.225593713E+00  3.008448342E+01  3.118965247E+01  8.259061849E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.96641E+00 -1.00000E+00  2.98219E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  6.300537924E+00  6.300537924E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.553842554E+02  3.553842554E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.919662811E+00 -5.245566124E-01 -3.498196459E+02  3.586284588E+02  7.894166947E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.952181167E+01  1.022326545E+01 -1.855348731E+02  1.899728346E+02  5.110057170E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.660214886E+01 -1.074782206E+01 -1.642847728E+02  1.686556241E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -2.919662811E+00  5.245566124E-01  7.359283970E-01  3.056334598E+00  1.341104507E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.44718E+00 -1.00000E+00  2.52977E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.296474757E+01  8.296474757E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -2.652287446E+01  2.652287446E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.751307863E+00 -4.087829703E+00  6.253122339E+01  1.019472230E+02  8.039468233E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.116274668E+01 -1.162752207E+01 -1.587238310E+01  2.262164293E+01  5.109992373E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  9.411438816E+00  7.539692371E+00  7.840360649E+01  7.932558007E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.751307863E+00  4.087829703E+00 -6.089350274E+00  7.540399039E+00  1.192092896E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.24738E+01 -1.00000E+00  1.85225E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.579646425E+01  1.579646425E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.776989565E+02  1.776989565E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.129809818E+00 -1.137017232E+01 -1.612887762E+02  1.810065291E+02  8.120159178E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.426981271E+00  8.666125928E+00  6.915376407E+00  1.160467020E+01  5.109976869E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.702828547E+00 -2.003629825E+01 -1.682041526E+02  1.694018589E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  5.129809818E+00  1.137017232E+01 -6.137161357E-01  1.248889166E+01  1.736161142E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.32553E+00 -1.00000E+00  2.55611E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.451423048E+01  6.451423048E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -3.241468440E+01  3.241468440E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.738663966E-01 -4.309343048E+00  3.753725076E+01  8.998061683E+01  8.166245158E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.077236224E+01  1.386527145E+01 -2.125594623E+01  2.756999802E+01  5.109999326E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.039849584E+01 -1.817461449E+01  5.879319699E+01  6.241061881E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   511     0 -3.738663966E-01  4.309343048E+00 -5.437704681E+00  6.948298050E+00  8.429369702E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.71400E+01 -1.00000E+00  1.56088E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  5.663451770E+00  5.663451770E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -6.043043710E+02  6.043043710E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.488361577E-01  2.713955643E+01 -3.873883800E+02  3.969790602E+02  8.237742139E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.864650455E+01 -6.939930345E-01 -1.749262132E+01  2.557666044E+01  5.109992651E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.849766840E+01  2.783354946E+01 -3.698957587E+02  3.714023997E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.488361577E-01 -2.713955643E+01 -2.112525392E+02  2.129887626E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.56827E+00 -1.00000E+00  3.18807E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  5.955410852E+00  5.955410852E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.086868586E+02  3.086868586E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.260558288E+00 -1.218973131E+00 -3.002954157E+02  3.111024571E+02  8.124534520E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  9.347139269E+00 -2.249307040E+01 -2.558683174E+01  3.532694704E+01  5.109965954E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.160769756E+01  2.127409727E+01 -2.747085839E+02  2.757755100E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.260558288E+00  1.218973131E+00 -2.436032086E+00  3.539812366E+00  5.161913656E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.53489E+00 -1.00000E+00  2.19788E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.548960611E+02  1.548960611E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.534827268E+01  2.534827268E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.071366573E+00 -6.446464154E+00  4.020415980E+01  9.066203250E+01  8.099706751E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.251165592E+01 -1.028911316E+00  4.784603420E+01  5.785593676E+01  5.109994876E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.144028935E+01 -5.417552838E+00 -7.641874402E+00  3.280609574E+01  6.194296387E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.071366573E+00  6.446464154E+00  8.934362862E+01  8.958230127E+01  1.348699152E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.25225E+01 -1.00000E+00  1.30421E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  1.997140444E+02  1.997140444E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.840546924E+02  1.840546924E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.271868785E+01  5.860569354E+01 -1.604139967E+02  1.933446372E+02  7.993738056E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.112815733E+01 -1.646816829E+01 -9.897400224E+00  2.220349035E+01  5.109981806E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.159053052E+01  7.507386183E+01 -1.505165965E+02  1.711411469E+02  1.907348633E-06  0.00000E+00  9.000E+00
      -3     1     1     2     0   511 -4.271868785E+01 -5.860569354E+01  1.760733486E+02  1.904240996E+02  3.814697266E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  8.42476E+00 -1.00000E+00  2.04712E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  7.416324125E+00  7.416324125E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.156565197E+02  3.156565197E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  6.882242569E+00  4.859154702E+00 -2.844637203E+02  2.978479073E+02  8.787941201E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.817330066E+00 -4.110952862E+01 -1.153515305E+02  1.225961266E+02  5.109932582E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.064912503E+00  4.596868333E+01 -1.691121898E+02  1.752517807E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -6.882242569E+00 -4.859154702E+00 -2.377647523E+01  2.522493650E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  3.86759E+00 -1.00000E+00  2.66852E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.838447680E+02  1.838447680E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.817451220E+01  2.817451220E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.652636004E+00 -3.496718352E+00  1.748501990E+02  1.924532774E+02  8.031633477E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  4.577443929E+00  3.766847304E+01  1.003783871E+02  1.073111712E+02  5.109968179E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.924807924E+00 -4.116519139E+01  7.447181186E+01  8.514210618E+01  1.348699152E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.652636004E+00  3.496718352E+00 -1.917994322E+01  1.956600283E+01  5.840038640E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.55955E+00 -1.00000E+00  2.50656E-01
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.239937860E+01  1.239937860E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.534695168E+02  1.534695168E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.267714219E+00  3.179865120E+00 -1.394485975E+02  1.610295884E+02  8.039793216E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.074443451E+01 -1.752663115E+01 -7.256769655E-01  2.057066552E+01  5.109992657E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  7.476720293E+00  2.070649627E+01 -1.387229205E+02  1.404589229E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  3.267714219E+00 -3.179865120E+00 -1.621540747E+00  4.839307057E+00  5.575503985E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.84727E+00 -1.00000E+00  2.45150E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  2.865808683E+00  2.865808683E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.076179478E+03  1.076179478E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.181194315E-01  4.845833274E+00 -5.533142606E+02  5.590232861E+02  7.954160757E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.122237549E+01  3.583568765E+01 -2.621325308E+02  2.654205143E+02  5.110413120E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.134049492E+01 -3.098985437E+01 -2.911817298E+02  2.936027717E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.181194315E-01 -4.845833274E+00 -5.199994084E+02  5.200220003E+02  7.629394531E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.74803E+01 -1.00000E+00  1.40340E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.860162838E+01  1.860162838E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.695516391E+02  2.695516391E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.090395957E+01 -3.604608610E+01 -1.529085044E+02  1.792197465E+02  8.052534859E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.754580682E+01 -1.321849889E+01 -5.536942658E+01  6.323981014E+01  5.109981527E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  5.844976639E+01 -2.282758721E+01 -9.753907785E+01  1.159799364E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -3.090395957E+01  3.604608610E+01 -9.804150627E+01  1.089335210E+02  1.348699152E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.15780E+01 -1.00000E+00  1.88624E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  3.347133237E+01  3.347133237E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -6.665580926E+01  6.665580926E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -8.659616696E+00  7.685172244E+00 -2.349805462E+01  8.503152603E+01  8.089592706E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.457315608E+01  1.136397761E+00 -4.867359671E+01  5.453668872E+01  5.109985977E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.591353938E+01  6.548774483E+00  2.517554209E+01  3.049483731E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  8.659616696E+00 -7.685172244E+00 -9.686422272E+00  1.509561559E+01  0.000000000E+00  0.00000E+00  9.000E+00


      6    666  1.00000E+00  2.92575E+01 -1.00000E+00  1.53764E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  1.812864871E+02  1.812864871E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -4.398471107E+01  4.398471107E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.761156665E+01  2.336307680E+01  6.428378936E-01  8.551546121E+01  8.035222603E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.425167056E+01  1.038836066E+01  2.048130615E+01  4.985591526E+01  5.109990983E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.664010390E+01  1.297471614E+01 -1.983846826E+01  3.565954595E+01  2.384185791E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  1.761156665E+01 -2.336307680E+01  1.366589381E+02  1.397557370E+02  3.303624740E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.81742E+01 -1.00000E+00  1.69831E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  1.157308684E+02  1.157308684E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.506096829E+01  2.506096829E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.040225585E+01  1.490278548E+01  6.432291291E+01  1.087845926E+02  8.582744614E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.331867803E+01  1.443218986E+01  8.224018642E+01  8.669196682E+01  5.110012675E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.291642218E+01  4.705956267E-01 -1.791727351E+01  2.209262574E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.040225585E+01 -1.490278548E+01  2.634698718E+01  3.200724411E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.42779E+01 -1.00000E+00  1.79377E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.902750581E+02  3.902750581E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -6.017096533E+00  6.017096533E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.388364081E+01  3.332198058E+00  3.449579474E+02  3.544788776E+02  8.034569144E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.200421619E+01 -1.585525378E+01  2.458462573E+02  2.473377384E+02  5.109345195E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.588785700E+01  1.918745184E+01  9.911169013E+01  1.071411392E+02  3.015782986E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.388364081E+01 -3.332198058E+00  3.930001410E+01  4.181327702E+01  4.768371582E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.64410E+00 -1.00000E+00  2.18734E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.451736306E+02  6.451736306E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -3.480658054E+00  3.480658054E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.468835968E+00 -1.515979592E+00  6.303732837E+02  6.355287643E+02  8.051204551E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.766700395E+00  3.845813604E+00  1.090704457E+00  6.221041023E+00  5.109975103E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.702135572E+00 -5.361793197E+00  6.292825792E+02  6.293077233E+02  1.705984480E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511  6.468835968E+00  1.515979592E+00  1.131968886E+01  1.312552433E+01  3.371747881E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.64654E+01 -1.00000E+00  1.73607E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.087414213E+01  1.087414213E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.358757756E+02  2.358757756E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.950122413E+00 -1.441892607E+01 -2.077408728E+02  2.228952801E+02  7.908808885E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.859633158E+01 -1.769017869E+01 -1.817059292E+01  3.144735947E+01  5.110006556E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.654645399E+01  3.271252625E+00 -1.895702799E+02  1.914479206E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.950122413E+00  1.441892607E+01 -1.726076065E+01  2.385463757E+01  4.129530925E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.49310E+01 -1.00000E+00  1.77525E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  2.680953209E+00  2.680953209E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.675184320E+03  1.675184320E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.044480498E+01 -1.066961368E+01 -1.640124938E+03  1.642210017E+03  8.136949558E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.931766974E+01 -3.403237348E+01 -4.175667037E+02  4.193963840E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -8.872864767E+00  2.336275980E+01 -1.222558234E+03  1.222813633E+03  1.525878906E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.044480498E+01  1.066961368E+01 -3.237842885E+01  3.565525574E+01  1.719260824E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.18005E+01 -1.00000E+00  1.87743E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  3.968306223E+01  3.968306223E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.920802790E+01  6.920802790E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -9.598572902E+00 -6.864392151E+00 -4.242782438E+01  9.140577503E+01  8.009770874E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.746390115E+00  1.370392954E+01  2.022586179E+01  2.449353075E+01  5.109988758E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.134496302E+01 -2.056832170E+01 -6.265368617E+01  6.691224428E+01  9.536743164E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  9.598572902E+00  6.864392151E+00  1.290285871E+01  1.748531511E+01  3.769728732E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.52826E+00 -1.00000E+00  2.19853E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  6.416480373E+00  6.416480373E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.139641643E+02  3.139641643E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.543281978E-01 -6.526430743E+00 -2.926148582E+02  3.040831786E+02  8.246518156E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.468209702E+01  3.471479305E+01 -1.089663709E+02  1.153011310E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.452776882E+01 -4.124122380E+01 -1.836484873E+02  1.887820476E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.543281978E-01  6.526430743E+00 -1.493282577E+01  1.629746609E+01  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.86270E+00 -1.00000E+00  1.96395E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  1.383035125E+03  1.383035125E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -3.388931533E+00  3.388931533E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.837493200E+00  8.594852931E+00  4.741130002E+02  4.808371546E+02  7.952332646E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.958993556E+01  2.779921159E+01  2.278849243E+02  2.314733228E+02  5.110199553E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.442742876E+01 -1.920435866E+01  2.462280759E+02  2.493638318E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -4.837493200E+00 -8.594852931E+00  9.055331930E+02  9.055869017E+02  1.868812365E-05  0.00000E+00  9.000E+00


      6    666  1.00000E+00  6.15227E+00 -1.00000E+00  2.23717E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.440918573E+03  1.440918573E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -1.478467349E+01  1.478467349E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.902648410E+00  1.734706450E+00  1.439061393E+03  1.441386454E+03  8.160493536E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.083520715E+01  2.191030019E+01  2.201380794E+02  2.222047279E+02  5.110555493E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.493255874E+01 -2.017559374E+01  1.218923314E+03  1.219181726E+03  2.642899792E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -5.902648410E+00 -1.734706450E+00 -1.292749358E+01  1.431679276E+01  1.800020799E-06  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.28911E+00 -1.00000E+00  2.56425E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  6.217859924E+00  6.217859924E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.743520460E+02  3.743520460E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.247454356E+00  5.963043913E-01 -3.669242146E+02  3.761133962E+02  8.251976202E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.510231441E+01  3.459206514E+01 -1.871878451E+02  1.920052773E+02  5.110270743E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.085486005E+01 -3.399576075E+01 -1.797363695E+02  1.841081189E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.247454356E+00 -5.963043913E-01 -1.209971453E+00  4.456509660E+00  9.771344847E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.88355E+00 -1.00000E+00  3.75450E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.631416479E+02  5.631416479E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -3.387469514E+00  3.387469514E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.878434538E+00 -1.387626010E-01  5.547145744E+02  5.611490263E+02  8.471377082E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.356792225E+01 -2.922444534E+01  4.186511124E+02  4.203311422E+02  5.109985977E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.168948771E+01  2.908568274E+01  1.360634620E+02  1.408178842E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.878434538E+00  1.387626010E-01  5.039604009E+00  5.380091072E+00  1.685873940E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  9.51386E+00 -1.00000E+00  1.98233E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  1.201502673E+01  1.201502673E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.799608600E+02  1.799608600E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.830654576E+00 -3.540202204E+00 -1.587227892E+02  1.787253006E+02  8.160450824E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.815119731E+00 -3.348868138E+01 -1.310881134E+02  1.354230441E+02  5.110021574E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.464577431E+01  2.994847918E+01 -2.763467580E+01  4.330225649E+01  8.920806376E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  8.830654576E+00  3.540202204E+00 -9.223044124E+00  1.325058621E+01  2.665600750E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.81603E+00 -1.00000E+00  3.83586E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  2.069335073E+02  2.069335073E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -7.660356638E+00  7.660356638E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.814378581E+00 -7.746996463E-02  1.916804354E+02  2.067869890E+02  7.756398348E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.023699499E+01 -3.547821139E+01  6.263690243E+01  7.271094206E+01  5.110021574E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  8.422616410E+00  3.540074142E+01  1.290435330E+02  1.340760470E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.814378581E+00  7.746996463E-02  7.592715203E+00  7.806874879E+00  1.460009660E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.26028E+01 -1.00000E+00  1.84766E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.581347163E+01  1.581347163E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.516290004E+02  1.516290004E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.729267716E+00  1.248361476E+01 -1.294708982E+02  1.533327115E+02  8.117497112E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.748766135E+01 -1.531305303E+01 -1.950584605E+01  3.702079348E+01  5.109979859E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.575839363E+01  2.779666779E+01 -1.099650522E+02  1.163119181E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.729267716E+00 -1.248361476E+01 -6.344630536E+00  1.410976049E+01  2.528810911E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  4.67984E+00 -1.00000E+00  2.48282E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  4.412739775E+00  4.412739775E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.703545786E+02  8.703545786E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.616060972E+00 -3.880353096E+00 -8.662709422E+02  8.700759194E+02  8.114714583E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.858182947E+01 -2.836634577E+01 -6.914035202E+02  6.922346147E+02  5.111124946E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.119789044E+01  2.448599267E+01 -1.748674220E+02  1.778413047E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -2.616060972E+00  3.880353096E+00  3.291034057E-01  4.691398961E+00  5.841226678E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  5.03587E+00 -1.00000E+00  2.37887E-01
      -4    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.031034044E+02  1.031034044E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -2.108016256E+01  2.108016256E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.520774147E+00 -4.359551468E+00  8.561700721E+01  1.179968763E+02  8.104092112E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.959997318E+01 -2.184036454E+00  2.492761123E+01  4.684350214E+01  5.110003775E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.707919903E+01 -2.175515014E+00  6.068939598E+01  7.115337414E+01  1.507891493E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  2.520774147E+00  4.359551468E+00 -3.593765406E+00  6.186690642E+00  9.424321831E-08  0.00000E+00  9.000E+00


      6    666  1.00000E+00  1.74748E+00 -1.00000E+00  3.92585E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.693607755E+02  1.693607755E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.581118363E+01  2.581118363E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  6.303165629E-01 -1.629838542E+00  1.605810456E+02  1.780510920E+02  7.689515903E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.585048594E+01  1.469515965E+01  1.360608012E+02  1.392721687E+02  5.109950380E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.522016937E+01 -1.632499820E+01  2.452024441E+01  3.877892334E+01  8.920806376E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -6.303165629E-01  1.629838542E+00 -1.703145377E+01  1.712086710E+01  6.743495762E-07  0.00000E+00  9.000E+00


      6    666  1.00000E+00  7.28934E+00 -1.00000E+00  2.13028E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.118283831E+02  2.118283831E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -2.334646142E+01  2.334646142E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.665688238E+00  6.300573186E+00  2.026738963E+02  2.192203268E+02  8.323285980E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.572470176E+00  3.595366166E+00  2.101742438E+02  2.103413458E+02  5.109914783E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.906781938E+00  2.705207020E+00 -7.500347573E+00  8.878981014E+00  6.690604782E-07  0.00000E+00  9.000E+00
       4     1     1     2   511     0  3.665688238E+00 -6.300573186E+00 -1.419197460E+01  1.595451773E+01  2.920019320E-07  0.00000E+00  9.000E+00


pythia8-8.1.86.orig/examples/main25.lhe0000644000175000017500000007442312357054677015774 0ustar  sunsun
# Warning: this file has been mercilessly hacked in order to test 
# read-in of exotic LHEF color structures and does not in any way
# yield physical cross sections or process combinations.
# Event  0: single-stop production (through RPV), without stop decay
# Event  1: single-antistop production (through RPV), without stop decay
# Event  2: single-stop production (through RPV), including RPV stop decay
# Event  3: single-antistop production (through RPV), including RPV stop decay
# Event  4: color-sextet example
# Event  5-9: copies of 1-5, to test whether any failures are repeated or not
# Event 10-15: examples with ME-generated BNV tbar->qq' decays and c.c.
# Event 16-19: same as 10-15, but without intermediate tops in event record

      

Block QNUMBERS 9000006 # sextet 
        1 4  # 3 times electric charge
        2 1  # number of spin states (2S+1)
        3 6  # colour rep (1: singlet, 3: triplet, 8: octet)
        4 1  # Particle/Antiparticle distinction (0=own anti)
DECAY 9000006 1.0 
    1.0 2 2 2  
#
BLOCK MODSEL  # Model selection
     1     1   #                                                 
#
BLOCK SMINPUTS  # Standard Model inputs
     1     1.27908957E+02   # alpha_em^-1(M_Z)^MSbar
     2     1.16637000E-05   # G_F [GeV^-2]
     3     1.17200000E-01   # alpha_S(M_Z)^MSbar
     4     9.11876000E+01   # M_Z pole mass
     5     4.21400000E+00   # mb(mb)^MSbar
     6     1.75000000E+02   # mt pole mass
     7     1.77700000E+00   # mtau pole mass
#
BLOCK MINPAR  # Input parameters - minimal models
     1     1.00000000E+02   #  m0                 
     2     2.50000000E+02   #  m12                
     3     1.00000000E+01   #  tanb               
     4     1.00000000E+00   #  sign(mu)           
     5    -1.00000000E+02   #  A0                 
#
BLOCK MASS  # Mass Spectrum
# PDG code           mass       particle
         5     4.83960131E+00   # b-quark pole mass calculated from mb(mb)_Msbar
         6     1.75000000E+02   # t-quark 
        24     7.98255860E+01   # W+
        25     1.10864387E+02   # h
        35     3.98301591E+02   # H
        36     3.97919472E+02   # A
        37     4.06256283E+02   # H+
   1000001     1.00000000E+04   # ~d_L
   2000001     1.00000000E+04   # ~d_R
   1000002     1.00000000E+03   # ~u_L
   2000002     1.00000000E+03   # ~u_R
   1000003     1.00000000E+04   # ~s_L
   2000003     1.00000000E+04   # ~s_R
   1000004     1.00000000E+03   # ~c_L
   2000004     1.00000000E+03   # ~c_R
   1000005     1.00000000E+04   # ~b_1
   2000005     1.00000000E+04   # ~b_2
   1000006     1.00000000E+04   # ~t_1
   2000006     1.00000000E+04   # ~t_2
   1000011     2.02759518E+04   # ~e_L
   2000011     2.44071249E+04   # ~e_R
   1000012     1.85089670E+04   # ~nu_eL
   1000013     2.02759518E+04   # ~mu_L
   2000013     2.44071249E+04   # ~mu_R
   1000014     1.85089670E+04   # ~nu_muL
   1000015     2.34518561E+04   # ~tau_1
   2000015     2.06687916E+04   # ~tau_2
   1000016     2.84540383E+04   # ~nu_tauL
   1000021     7.00000000E+01   # ~g
   1000022     4.00000000E+01   # ~chi_10
   1000023     6.00000000E+01   # ~chi_20
   1000025     7.00000000E+01   # ~chi_30
   1000035     8.00000000E+01   # ~chi_40
   1000024     1.81692495E+04   # ~chi_1+
   1000037     2.78328056E+04   # ~chi_2+
   9000006 5.000000e+02 # MSIX 
#
BLOCK NMIX  # Neutralino Mixing Matrix
  1  1     1.00000000E+00   # N_11
  1  2     0.00000000E+00   # N_12
  1  3     0.00000000E+00   # N_13
  1  4     0.00000000E+00   # N_14
  2  1     0.00000000E+00   # N_21
  2  2     1.00000000E+00   # N_22
  2  3     0.00000000E+00   # N_23
  2  4     0.00000000E+00   # N_24
  3  1     0.00000000E+00   # N_31
  3  2     0.00000000E+00   # N_32
  3  3     1.00000000E+00   # N_33
  3  4     0.00000000E+00   # N_34
  4  1     0.00000000E+00   # N_41
  4  2     0.00000000E+00   # N_42
  4  3     0.00000000E+00   # N_43
  4  4     1.00000000E+00   # N_44
#
BLOCK UMIX  # Chargino Mixing Matrix U
  1  1     9.15420024E-01   # U_11
  1  2    -4.02499912E-01   # U_12
  2  1     4.02499912E-01   # U_21
  2  2     9.15420024E-01   # U_22
#
BLOCK VMIX  # Chargino Mixing Matrix V
  1  1     9.71869719E-01   # V_11
  1  2    -2.35519104E-01   # V_12
  2  1     2.35519104E-01   # V_21
  2  2     9.71869719E-01   # V_22
#
BLOCK STOPMIX  # Stop Mixing Matrix
  1  1     5.53439333E-01   # O_{11}
  1  2     8.32889491E-01   # O_{12}
  2  1     8.32889491E-01   # O_{21}
  2  2    -5.53439333E-01   # O_{22}
#
BLOCK SBOTMIX  # Sbottom Mixing Matrix
  1  1     9.38417028E-01   # O_{11}
  1  2     3.45504676E-01   # O_{12}
  2  1    -3.45504676E-01   # O_{21}
  2  2     9.38417028E-01   # O_{22}
#
BLOCK STAUMIX  # Stau Mixing Matrix
  1  1     2.82029170E-01   # O_{11}
  1  2     9.59405830E-01   # O_{12}
  2  1     9.59405830E-01   # O_{21}
  2  2    -2.82029170E-01   # O_{22}
#
BLOCK ALPHA  # Higgs mixing
          -1.13921380E-01   # Mixing angle in the neutral Higgs boson sector
#
BLOCK HMIX Q=  4.64669301E+02  # DRbar Higgs Parameters
     1     3.55825714E+02   #  mu(Q)MSSM DRbar    
     2     9.74915511E+00   #  tan beta(Q)MSSM DRb
     3     2.45016153E+02   #  higgs vev(Q)MSSM DR
     4     1.65064712E+05   #  mA^2(Q)MSSM DRbar  
#
BLOCK GAUGE Q=  4.64669301E+02  # The gauge couplings
     3     1.09904885E+00   # g3(Q) MSbar
#
BLOCK AU Q=  4.64669301E+02  # The trilinear couplings
  3  3    -4.93817451E+02   # A_t(Q) DRbar
#
BLOCK AD Q=  4.64669301E+02  # The trilinear couplings
  3  3    -7.92162211E+02   # A_b(Q) DRbar
#
BLOCK AE Q=  4.64669301E+02  # The trilinear couplings
  3  3    -2.51387472E+02   # A_tau(Q) DRbar
#
BLOCK YU Q=  4.64669301E+02  # The Yukawa couplings
  3  3     8.93473447E-01   # y_t(Q) DRbar
#
BLOCK YD Q=  4.64669301E+02  # The Yukawa couplings
  3  3     1.38175832E-01   # y_b(Q) DRbar
#
BLOCK YE Q=  4.64669301E+02  # The Yukawa couplings
  3  3     1.00857841E-01   # y_tau(Q) DRbar
#
BLOCK MSOFT Q=  4.64669301E+02  # The soft SUSY breaking masses at the scale Q
     1     1.01827998E+02   #  M_1(Q)             
     2     1.91741376E+02   #  M_2(Q)             
     3     5.85672962E+02   #  M_3(Q)             
    21     3.23731728E+04   #  mH1^2(Q)           
    22    -1.27530881E+05   #  mH2^2(Q)           
    31     1.95176637E+02   #  meL(Q)             
    32     1.95173849E+02   #  mmuL(Q)            
    33     1.94341202E+02   #  mtauL(Q)           
    34     1.36451646E+02   #  meR(Q)             
    35     1.36443562E+02   #  mmuR(Q)            
    36     1.34012141E+02   #  mtauR(Q)           
    41     5.44872770E+02   #  mqL1(Q)            
    42     5.44870961E+02   #  mqL2(Q)            
    43     4.96219687E+02   #  mqL3(Q)            
    44     5.26745075E+02   #  muR(Q)             
    45     5.26743591E+02   #  mcR(Q)             
    46     4.20715350E+02   #  mtR(Q)             
    47     5.20424597E+02   #  mdR(Q)             
    48     5.20422269E+02   #  msR(Q)             
    49     5.17185468E+02   #  mbR(Q)             
#
#


      

  2212 2212  4.000000000E+03  4.000000000E+03 0 0 10042 10042 3 1
  0.38860417163E+04  0.40300000000E+01  0.38944147080E-01 661


 5   1  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
  1000006    2    1    2  503    0 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
        6    1    3    3  503    0 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
  1000022    1    3    3    0    0 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 5   1  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
 -1000006    2    1    2    0  503 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
       -6    1    3    3    0  503 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
  1000022    1    3    3    0    0 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 5   2  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
  1000006    2    1    2  503    0 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
       -5    1    3    3    0  504 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
       -3    1    3    3    0  505 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 5   3  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
 -1000006    2    1    2    0   503 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
        5    1    3    3  504    0 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
        3    1    3    3  505    0 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 6   6  0.8174600E-05  0.2051526E+03  0.7957747E-01  0.1151852E+00
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00  0.10846490736E+03  0.10846490736E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.22846826344E+04  0.22846826344E+04  0.00000000000E+00 0.  1.
  9000006    2    1    2  501 -502  0.12250970092E+03 -0.18220128689E+03 -0.64334482025E+03  0.84463041750E+03  0.50130035774E+03 0.  0.
        2    1    3    3  502    0  0.26809456118E+03 -0.24324065396E+03 -0.55810782099E+03  0.66522556274E+03  0.00000000000E+00 0. -1.
        2    1    3    3  501    0 -0.14558486026E+03  0.61039367074E+02 -0.85236999257E+02  0.17940485476E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.12250970092E+03  0.18220128689E+03 -0.15328729068E+04  0.15485171242E+04  0.00000000000E+00 0. -1.


 5   1  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
  1000006    2    1    2  503    0 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
        6    1    3    3  503    0 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
  1000022    1    3    3    0    0 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 5   1  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
 -1000006    2    1    2    0  503 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
       -6    1    3    3    0  503 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
  1000022    1    3    3    0    0 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 5   2  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  502  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
  1000006    2    1    2  503    0 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
       -5    1    3    3    0  504 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
       -3    1    3    3    0  505 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 5   3  0.3170300E+01  0.3481367E+03  0.7816531E-02  0.1072161E+00
        1   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00  0.47745618421E+03  0.47745618421E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.63460896214E+02  0.63460896214E+02  0.00000000000E+00 0.  1.
 -1000006    2    1    2    0   503 0.00000000000E+00  0.00000000000E+00  0.41399528800E+03  0.54091708043E+03  0.34813673953E+03 0.  0.
        5    1    3    3  504    0 0.55019726270E+02  0.55098735010E+02  0.35262804618E+03  0.40046621559E+03  0.17310000000E+03 0. -1.
        3    1    3    3  505    0 -0.55019726270E+02 -0.55098735010E+02  0.61367241818E+02  0.14045086483E+03  0.99486010000E+02 0. -1.


 6   6  0.8174600E-05  0.2051526E+03  0.7957747E-01  0.1151852E+00
       21   -1    0    0  502  503  0.00000000000E+00  0.00000000000E+00  0.10846490736E+03  0.10846490736E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  501    0  0.00000000000E+00  0.00000000000E+00 -0.22846826344E+04  0.22846826344E+04  0.00000000000E+00 0.  1.
  9000006    2    1    2  501 -502  0.12250970092E+03 -0.18220128689E+03 -0.64334482025E+03  0.84463041750E+03  0.50130035774E+03 0.  0.
        2    1    3    3  502    0  0.26809456118E+03 -0.24324065396E+03 -0.55810782099E+03  0.66522556274E+03  0.00000000000E+00 0. -1.
        2    1    3    3  501    0 -0.14558486026E+03  0.61039367074E+02 -0.85236999257E+02  0.17940485476E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  503 -0.12250970092E+03  0.18220128689E+03 -0.15328729068E+04  0.15485171242E+04  0.00000000000E+00 0. -1.


10   4  0.4424100E-06  0.2568823E+03  0.7957747E-01  0.1116564E+00
       21   -1    0    0  506  502  0.00000000000E+00  0.00000000000E+00  0.21186259724E+03  0.21186259724E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00 -0.16618043635E+04  0.16618043635E+04  0.00000000000E+00 0.  1.
        6    2    1    2  501    0  0.21050055906E+01 -0.12646481280E+03 -0.46769970456E+03  0.51517427668E+03  0.17511065581E+03 0.  0.
       -6    2    1    2    0  502  0.44468730011E+02  0.23281490019E+03 -0.11321259313E+04  0.11689019978E+04  0.16864907487E+03 0.  0.
        5    1    3    3  501    0  0.35441129604E+02 -0.11182665728E+03 -0.18441642927E+03  0.21861560861E+03  0.47000000000E+01 0. -1.
       24    1    3    3    0    0 -0.33336124013E+02 -0.14638155518E+02 -0.28328327530E+03  0.29655866806E+03  0.79825163827E+02 0.  0.
        5    1    4    4  503    0  0.73122549278E+02  0.88974785110E+02 -0.50093469550E+03  0.51402439510E+03  0.47000000000E+01 0.  1.
        4    1    4    4  504    0  0.23108286112E+02  0.16188486457E+01 -0.80342656533E+02  0.83615524975E+02  0.00000000000E+00 0. -1.
       13    1    4    4    0    0 -0.51762105379E+02  0.14222126643E+03 -0.55084857930E+03  0.57126207777E+03  0.00000000000E+00 0. -1.
       21    1    1    2  506  505 -0.46573735602E+02 -0.10635008739E+03  0.14988386962E+03  0.18959068624E+03  0.00000000000E+00 0. -1.


10   4  0.4424100E-06  0.1846345E+03  0.7957747E-01  0.1285453E+00
        2   -1    0    0  505    0  0.00000000000E+00  0.00000000000E+00  0.53829730604E+03  0.53829730604E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00 -0.12887145459E+03  0.12887145459E+03  0.00000000000E+00 0. -1.
        6    2    1    2  501    0 -0.29184274828E+02 -0.41594869008E+02  0.34999722596E+00  0.18188079259E+03  0.17463861312E+03 0.  0.
       -6    2    1    2    0  504  0.18203269668E+02  0.92364043781E+02  0.25662136433E+03  0.32422753507E+03  0.17437458030E+03 0.  0.
        5    1    3    3  501    0 -0.16021667828E+02 -0.87211017623E+02  0.45227058793E+01  0.88910068627E+02  0.47000000000E+01 0. -1.
       24    1    3    3    0    0 -0.13162607000E+02  0.45616148615E+02 -0.41727086534E+01  0.92970723968E+02  0.79825163827E+02 0.  0.
        5    1    4    4  503    0  0.26369419717E+02  0.80308803866E+02  0.12716614143E+03  0.15276834686E+03  0.47000000000E+01 0.  1.
        4    1    4    4  502    0 -0.59188545736E+02 -0.21060851541E+01  0.74023432789E+02  0.94800781341E+02  0.00000000000E+00 0. -1.
       13    1    4    4    0    0  0.51022395687E+02  0.14161325069E+02  0.55431790113E+02  0.76658406874E+02  0.00000000000E+00 0. -1.
        2    1    1    2  504    0  0.10981005160E+02 -0.50769174774E+02  0.15245448988E+03  0.16106043297E+03  0.00000000000E+00 0.  1.


10   4  0.4424100E-06  0.1833245E+03  0.7957747E-01  0.1291926E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19595686468E+04  0.19595686468E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00 -0.34817667906E+02  0.34817667906E+02  0.00000000000E+00 0. -1.
        6    2    1    2  502    0 -0.61259507050E+02 -0.41786766991E+02  0.49355918747E+03  0.52906197135E+03  0.17551933481E+03 0.  0.
       -6    2    1    2    0  505  0.40208347004E+02 -0.24505892948E+01  0.47311584845E+03  0.50599665819E+03  0.17484649120E+03 0.  0.
        5    1    3    3  502    0 -0.62830116761E+02  0.19282692430E+02  0.33431638324E+03  0.34074767776E+03  0.47000000000E+01 0. -1.
       24    1    3    3    0    0  0.15706097109E+01 -0.61069459420E+02  0.15924280424E+03  0.18831429359E+03  0.79825163827E+02 0.  0.
        5    1    4    4  504    0 -0.17488523649E+01 -0.48849580901E+02  0.97631774158E+02  0.10928583332E+03  0.47000000000E+01 0.  1.
        4    1    4    4  503    0  0.86512049635E+01  0.78879187898E+02  0.20005161664E+03  0.21521482048E+03  0.00000000000E+00 0. -1.
       13    1    4    4    0    0  0.33305994406E+02 -0.32480196292E+02  0.17543245765E+03  0.18149600440E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.21051160046E+02  0.44237356286E+02  0.95807594295E+03  0.95932768515E+03  0.00000000000E+00 0. -1.


10   4  0.4424100E-06  0.2615950E+03  0.7957747E-01  0.1113805E+00
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00  0.21305752611E+04  0.21305752611E+04  0.00000000000E+00 0.  1.
       21   -1    0    0  505  506  0.00000000000E+00  0.00000000000E+00 -0.62792335854E+02  0.62792335854E+02  0.00000000000E+00 0. -1.
        6    2    1    2  501    0  0.10282766577E+03  0.82376162276E+02  0.92460870052E+03  0.95007295907E+03  0.17429290724E+03 0.  0.
       -6    2    1    2    0  504  0.12585274818E+03 -0.74074721592E+02  0.79616848462E+03  0.82763055559E+03  0.17251696161E+03 0.  0.
        5    1    3    3  501    0  0.82350354911E+02  0.10068431408E+03  0.64486048176E+03  0.65786476041E+03  0.47000000000E+01 0. -1.
       24    1    3    3    0    0  0.20477310855E+02 -0.18308151801E+02  0.27974821876E+03  0.29220819865E+03  0.79825163827E+02 0. -1.
        5    1    4    4  503    0 -0.52882542877E+01  0.42371188374E+02  0.20886491026E+03  0.21323677914E+03  0.47000000000E+01 0.  1.
        4    1    4    4  502    0  0.47097981041E+02 -0.30312803662E+02  0.25197849456E+03  0.25812835490E+03  0.00000000000E+00 0.  1.
       13    1    4    4    0    0  0.84043021428E+02 -0.86133106304E+02  0.33532507980E+03  0.35626542156E+03  0.00000000000E+00 0. -1.
       21    1    1    2  504  506 -0.22868041395E+03 -0.83014406843E+01  0.34700574008E+03  0.41566408227E+03  0.00000000000E+00 0. -1.


10   4  0.4424100E-06  0.1881356E+03  0.7957747E-01  0.1166043E+00
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00  0.10093773553E+03  0.10093773553E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  505  506  0.00000000000E+00  0.00000000000E+00 -0.43620324447E+03  0.43620324447E+03  0.00000000000E+00 0. -1.
        6    2    1    2  501    0 -0.13170184984E+02  0.74177342582E+02 -0.81031403980E+02  0.20591574103E+03  0.17366482674E+03 0.  0.
       -6    2    1    2    0  504 -0.85985973022E+01 -0.64416371097E+02 -0.20710425430E+03  0.27840119833E+03  0.17433201180E+03 0.  0.
        5    1    3    3  501    0  0.81755880555E+01 -0.22233870180E+02  0.29111730430E+02  0.37825494998E+02  0.47000000000E+01 0. -1.
       24    1    3    3    0    0 -0.21345773040E+02  0.96411212762E+02 -0.11014313441E+03  0.16809024603E+03  0.79825163827E+02 0. -1.
        5    1    4    4  503    0 -0.20409420345E+02  0.22876851571E+02  0.55767425928E+01  0.31513248556E+02  0.47000000000E+01 0.  1.
        4    1    4    4  502    0  0.22560813830E+02 -0.81527820613E+02 -0.21780631025E+03  0.23365650995E+03  0.00000000000E+00 0. -1.
       13    1    4    4    0    0 -0.10749990787E+02 -0.57654020542E+01  0.51253133574E+01  0.13231439823E+02  0.00000000000E+00 0. -1.
       21    1    1    2  504  506  0.21768782286E+02 -0.97609714857E+01 -0.47129850661E+02  0.52824040643E+02  0.00000000000E+00 0.  1.


10   4  0.4424100E-06  0.1864067E+03  0.7957747E-01  0.1167576E+00
       21   -1    0    0  503  504  0.00000000000E+00  0.00000000000E+00  0.14984513090E+03  0.14984513090E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  506  505  0.00000000000E+00  0.00000000000E+00 -0.10249066020E+04  0.10249066020E+04  0.00000000000E+00 0. -1.
        6    2    1    2  503    0 -0.16509325939E+03 -0.88762921909E+02 -0.19566835178E+03  0.32232437068E+03  0.17456304145E+03 0.  0.
       -6    2    1    2    0  505  0.13103545612E+02  0.46991711201E+02 -0.67049684814E+03  0.69455130076E+03  0.17451522053E+03 0.  0.
       -5    1    3    3    0  502 -0.86500026434E+02 -0.95458583889E+02 -0.13362133160E+03  0.18566460640E+03  0.47000000000E+01 0. -1.
       -4    1    3    3    0  501 -0.41727434534E+02 -0.34800616684E+02 -0.60238943028E+02  0.81123313367E+02  0.00000000000E+00 0.  1.
      -13    1    3    3    0    0 -0.36865798426E+02  0.41496278664E+02 -0.18080771498E+01  0.55536450909E+02  0.00000000000E+00 0.  1.
       -5    1    4    4    0  505  0.56709234087E+02  0.44332967666E+02 -0.45419550304E+03  0.45988802358E+03  0.47000000000E+01 0.  1.
      -24    1    4    4    0    0 -0.43605688475E+02  0.26587435347E+01 -0.21630134510E+03  0.23466327718E+03  0.79825163827E+02 0. -1.
       21    1    1    2  506  504  0.15198971378E+03  0.41771210708E+02 -0.88962711757E+01  0.15787606145E+03  0.00000000000E+00 0.  1.


10   4  0.4424100E-06  0.2259499E+03  0.7957747E-01  0.1136429E+00
       21   -1    0    0  503  504  0.00000000000E+00  0.00000000000E+00  0.33775267147E+03  0.33775267147E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  504  505  0.00000000000E+00  0.00000000000E+00 -0.25756936200E+03  0.25756936200E+03  0.00000000000E+00 0.  1.
        6    2    1    2  503    0 -0.65592825348E+02  0.12828116235E+03  0.20579661139E+03  0.30719636238E+03  0.17680182253E+03 0.  0.
       -6    2    1    2    0  506  0.27026512974E+02 -0.12960085316E+03 -0.11319636195E+03  0.24758825095E+03  0.17595372149E+03 0.  0.
       -5    1    3    3    0  502 -0.54166499632E+02 -0.89574428511E+01  0.72867804204E+02  0.91356731303E+02  0.47000000000E+01 0. -1.
       -4    1    3    3    0  501 -0.28264383917E+02  0.12978775938E+03  0.14273394296E+03  0.19497875873E+03  0.00000000000E+00 0.  1.
      -13    1    3    3    0    0  0.16838058202E+02  0.74508458201E+01 -0.98051357762E+01  0.20860872346E+02  0.00000000000E+00 0.  1.
       -5    1    4    4    0  506 -0.43891501090E+02 -0.49854929182E+01 -0.60843502736E+02  0.75334858020E+02  0.47000000000E+01 0.  1.
      -24    1    4    4    0    0  0.70918014064E+02 -0.12461536024E+03 -0.52352859212E+02  0.17225339293E+03  0.79825163827E+02 0.  0.
       21    1    1    2  506  505  0.38566312374E+02  0.13196908068E+01 -0.12416939962E+02  0.40537420144E+02  0.00000000000E+00 0. -1.


10   4  0.4424100E-06  0.2180063E+03  0.7957747E-01  0.1142097E+00
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00  0.69867021183E+03  0.69867021183E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  505  506  0.00000000000E+00  0.00000000000E+00 -0.40018043993E+03  0.40018043993E+03  0.00000000000E+00 0.  1.
        6    2    1    2  501    0  0.73833194922E+02 -0.55665332998E+02  0.34347952129E+03  0.39527886248E+03  0.17238685450E+03 0.  0.
       -6    2    1    2    0  504 -0.15618008153E+03  0.84244097789E+02  0.27372308068E+03  0.37315444171E+03  0.18119223657E+03 0.  0.
        5    1    3    3  501    0 -0.41970554796E+02 -0.15122504862E+02  0.49045269333E+02  0.66466127216E+02  0.47000000000E+01 0. -1.
       24    1    3    3    0    0  0.11580374972E+03 -0.40542828136E+02  0.29443425196E+03  0.32881273526E+03  0.79825163827E+02 0.  0.
        5    1    4    4  503    0 -0.16548216023E+03  0.49780000384E+02  0.14668057822E+03  0.22671496603E+03  0.47000000000E+01 0.  1.
        4    1    4    4  502    0  0.29819793781E+02 -0.31475104447E+01  0.53068865626E+02  0.60954338828E+02  0.00000000000E+00 0. -1.
       13    1    4    4    0    0 -0.20517715077E+02  0.37611607850E+02  0.73973636827E+02  0.85485136851E+02  0.00000000000E+00 0. -1.
       21    1    1    2  504  506  0.82346886607E+02 -0.28578764791E+02 -0.31871283006E+03  0.33041734757E+03  0.00000000000E+00 0.  1.


 7   0  0.1670621E-05  0.2083507E+03  0.7957747E-01  0.1149353E+00
       21   -1    0    0  503  504  0.00000000000E+00  0.00000000000E+00  0.17415333744E+03  0.17415333744E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  504  505  0.00000000000E+00  0.00000000000E+00 -0.42651677420E+03  0.42651677420E+03  0.00000000000E+00 0. -1.
       -5    1    1    2    0  505 -0.12321332363E+02  0.20380105994E+02 -0.18383192781E+03  0.18542769921E+03  0.47000000000E+01 0.  1.
       -4    1    1    2    0  501 -0.95177811857E+02 -0.24755314057E+02  0.96510409946E+01  0.98827123991E+02  0.14200000000E+01 0. -1.
      -13    1    1    2    0    0  0.29205706274E+02 -0.55806117872E+02  0.20669105497E+02  0.66291169525E+02  0.10566000000E+00 0.  1.
       -5    1    1    2    0  502 -0.31766731223E+02  0.20590446512E+02  0.37535630411E+02  0.53517335981E+02  0.47000000000E+01 0. -1.
      -24    1    1    2    0    0  0.11006016917E+03  0.39590879424E+02 -0.13638728585E+03  0.19660678293E+03  0.79825163827E+02 0.  0.


 7   0  0.1482316E-05  0.1992671E+03  0.7957747E-01  0.1156583E+00
       21   -1    0    0  505  502  0.00000000000E+00  0.00000000000E+00  0.27227457777E+03  0.27227457777E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00 -0.15795229186E+03  0.15795229186E+03  0.00000000000E+00 0.  1.
        5    1    1    2  503    0 -0.56847234724E+02 -0.15035316131E+02  0.17052270511E+02  0.61404712820E+02  0.47000000000E+01 0.  1.
       24    1    1    2    0    0  0.22591738017E+02  0.21332907202E+02  0.63846317992E+02  0.10683580232E+03  0.79825163827E+02 0.  0.
        5    1    1    2  501    0  0.40735390586E+02  0.39271897315E+02 -0.73215747780E+02  0.92651441909E+02  0.47000000000E+01 0. -1.
        4    1    1    2  504    0  0.93891362881E+01 -0.38400352485E+02  0.13243242799E+03  0.13821399109E+03  0.14200000000E+01 0. -1.
       13    1    1    2    0    0 -0.15869030167E+02 -0.71691359006E+01 -0.25792982802E+02  0.31120921481E+02  0.10566000000E+00 0. -1.


 9   0  0.9369500E-06  0.1863158E+03  0.7957747E-01  0.1167657E+00
       21   -1    0    0  502  501  0.00000000000E+00  0.00000000000E+00  0.12342052313E+03  0.12342052313E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  503  502  0.00000000000E+00  0.00000000000E+00 -0.33180194320E+03  0.33180194320E+03  0.00000000000E+00 0. -1.
       -5    1    1    2    0  504  0.38318612105E+02 -0.56752065691E+02 -0.60710649153E+02  0.91635069239E+02  0.47000000000E+01 0. -1.
       -4    1    1    2    0  505 -0.68115828337E+02  0.24751715411E+02 -0.62693257320E+02  0.95837750387E+02  0.14200000000E+01 0.  1.
      -13    1    1    2    0    0  0.23716050790E+02 -0.32892734355E+02 -0.71226400994E+02  0.81960932163E+02  0.10566000000E+00 0.  1.
       -5    1    1    2    0  501 -0.27845898475E+02  0.90528149499E+02 -0.64430536491E+01  0.95049160195E+02  0.47000000000E+01 0.  1.
      -24    1    1    2    0    0  0.33927063917E+02 -0.25635064864E+02 -0.73080589579E+01  0.90739554343E+02  0.79825163827E+02 0.  1.


 9   0  0.1482316E-05  0.1962662E+03  0.7957747E-01  0.1159065E+00
       21   -1    0    0  505  502  0.00000000000E+00  0.00000000000E+00  0.11931216444E+03  0.11931216444E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  505  0.00000000000E+00  0.00000000000E+00 -0.31973272796E+03  0.31973272796E+03  0.00000000000E+00 0.  1.
        5    1    1    2  501    0  0.24542568681E+02 -0.36208849786E+02 -0.47487783694E+02  0.64734828960E+02  0.47000000000E+01 0. -1.
       24    1    1    2    0    0 -0.11246782816E+03  0.52175348208E+02 -0.61553734788E+02  0.15978797945E+03  0.79825163827E+02 0. -1.
        5    1    1    2  503    0  0.12311735588E+02  0.76079021489E+01  0.25250884129E+01  0.15424820251E+02  0.47000000000E+01 0.  1.
        4    1    1    2  504    0  0.35080206863E+02  0.65281062252E+02 -0.20447072707E+02  0.76891723772E+02  0.14200000000E+01 0. -1.
       13    1    1    2    0    0  0.40533317023E+02 -0.88855462822E+02 -0.73457060739E+02  0.12220553997E+03  0.10566000000E+00 0. -1.

      
pythia8-8.1.86.orig/examples/snowmass2.spc0000644000175000017500000014342512357054721016637 0ustar  sunsun##******************************************************************
##                      MadGraph/MadEvent                          *
##******************************************************************
##                                                                 *
##  param_card corresponding the SPS point 2 (by SoftSusy 2.0.5)   *
##                                                                 *
##******************************************************************
## Les Houches friendly file for the (MS)SM parameters of MadGraph *
##      SM parameter set and decay widths produced by MSSMCalc     *
##******************************************************************
##*Please note the following IMPORTANT issues:                     *
##                                                                 *
##0. REFRAIN from editing this file by hand! Some of the parame-   *
##   ters are not independent. Always use a calculator.            *
##                                                                 *
##1. alpha_S(MZ) has been used in the calculation of the parameters*
##   This value is KEPT by madgraph when no pdf are used lpp(i)=0, *
##   but, for consistency, it will be reset by madgraph to the     *
##   value expected IF the pdfs for collisions with hadrons are    *
##   used.                                                         *
##                                                                 *
##2. Values of the charm and bottom kinematic (pole) masses are    *
##   those used in the matrix elements and phase space UNLESS they *
##   are set to ZERO from the start in the model (particles.dat)   *
##   This happens, for example,  when using 5-flavor QCD where     *
##   charm and bottom are treated as partons in the initial state  *
##   and a zero mass might be hardwired in the model definition.   *
##                                                                 *
##       The SUSY decays have calculated using SDECAY 1.1a         *
##                                                                 *
##******************************************************************
#
BLOCK DCINFO  # Decay Program information
     1   SDECAY      # decay calculator
     2   1.1a        # version number
#
BLOCK SPINFO  # Spectrum calculator information
     1   SOFTSUSY    # spectrum calculator                 
     2   2.0.5         # version number                    
#
BLOCK MODSEL  # Model selection
     1     1   sugra                                             
#
BLOCK SMINPUTS  # Standard Model inputs
     1     1.27934000E+02   # alpha_em^-1(M_Z)^MSbar
     2     1.16637000E-05   # G_F [GeV^-2]
     3     1.18000000E-01   # alpha_S(M_Z)^MSbar
     4     9.11876000E+01   # M_Z pole mass
     5     4.25000000E+00   # mb(mb)^MSbar
     6     1.75000000E+02   # mt pole mass
     7     1.77700000E+00   # mtau pole mass
#
BLOCK MINPAR  # Input parameters - minimal models
     1     1.45000000E+03   # m0                  
     2     3.00000000E+02   # m12                 
     3     1.00000000E+01   # tanb                
     4     1.00000000E+00   # sign(mu)            
#
BLOCK MASS  # Mass Spectrum
# PDG code           mass       particle
         5     4.88991651E+00   # b-quark pole mass calculated from mb(mb)_Msbar
         6     1.75000000E+02   # mt pole mass (not read by ME)
        24     7.98290131E+01   # W+
        25     1.15172279E+02   # h
        35     1.51114877E+03   # H
        36     1.51103826E+03   # A
        37     1.51343530E+03   # H+
   1000001     1.55931152E+03   # ~d_L
   2000001     1.55240630E+03   # ~d_R
   1000002     1.55431328E+03   # ~u_L
   2000002     1.55382420E+03   # ~u_R
   1000003     1.55931152E+03   # ~s_L
   2000003     1.55240630E+03   # ~s_R
   1000004     1.55431328E+03   # ~c_L
   2000004     1.55382420E+03   # ~c_R
   1000005     1.28421793E+03   # ~b_1
   2000005     1.53908204E+03   # ~b_2
   1000006     9.50096226E+02   # ~t_1
   2000006     1.29611751E+03   # ~t_2
   1000011     1.45911583E+03   # ~e_L
   2000011     1.45303116E+03   # ~e_R
   1000012     1.45599000E+03   # ~nu_eL
   1000013     1.45911583E+03   # ~mu_L
   2000013     1.45303116E+03   # ~mu_R
   1000014     1.45599000E+03   # ~nu_muL
   1000015     1.44007642E+03   # ~tau_1
   2000015     1.45350507E+03   # ~tau_2
   1000016     1.45001839E+03   # ~nu_tauL
   1000021     7.81898886E+02   # ~g
   1000022     1.22849441E+02   # ~chi_10
   1000023     2.35046162E+02   # ~chi_20
   1000025    -4.69015751E+02   # ~chi_30
   1000035     4.83058535E+02   # ~chi_40
   1000024     2.37406034E+02   # ~chi_1+
   1000037     4.84104812E+02   # ~chi_2+
#
BLOCK NMIX  # Neutralino Mixing Matrix
  1  1     9.92797628E-01   # N_11
  1  2    -3.04145381E-02   # N_12
  1  3     1.09080644E-01   # N_13
  1  4    -3.91054708E-02   # N_14
  2  1     5.84996523E-02   # N_21
  2  2     9.66019640E-01   # N_22
  2  3    -2.17829192E-01   # N_23
  2  4     1.26231093E-01   # N_24
  3  1    -4.69368399E-02   # N_31
  3  2     6.81242959E-02   # N_32
  3  3     7.00360055E-01   # N_33
  3  4     7.08979412E-01   # N_34
  4  1    -9.34215858E-02   # N_41
  4  2     2.47467354E-01   # N_42
  4  3     6.70930436E-01   # N_43
  4  4    -6.92737083E-01   # N_44
#
BLOCK UMIX  # Chargino Mixing Matrix U
  1  1     9.48909352E-01   # U_11
  1  2    -3.15548795E-01   # U_12
  2  1     3.15548795E-01   # U_21
  2  2     9.48909352E-01   # U_22
#
BLOCK VMIX  # Chargino Mixing Matrix V
  1  1     9.83010683E-01   # V_11
  1  2    -1.83548349E-01   # V_12
  2  1     1.83548349E-01   # V_21
  2  2     9.83010683E-01   # V_22
#
BLOCK STOPMIX  # Stop Mixing Matrix
  1  1     1.25445912E-01   # O_{11}
  1  2     9.92100460E-01   # O_{12}
  2  1     9.92100460E-01   # O_{21}
  2  2    -1.25445912E-01   # O_{22}
#
BLOCK SBOTMIX  # Sbottom Mixing Matrix
  1  1     9.99839511E-01   # O_{11}
  1  2     1.79151679E-02   # O_{12}
  2  1    -1.79151679E-02   # O_{21}
  2  2     9.99839511E-01   # O_{22}
#
BLOCK STAUMIX  # Stau Mixing Matrix
  1  1     2.14038360E-01   # O_{11}
  1  2     9.76825256E-01   # O_{12}
  2  1     9.76825256E-01   # O_{21}
  2  2    -2.14038360E-01   # O_{22}
#
BLOCK ALPHA  # Higgs mixing
          -1.04393740E-01   # Mixing angle in the neutral Higgs boson sector
#
BLOCK HMIX Q=  1.09862507E+03  # DRbar Higgs Parameters
     1     4.64310302E+02   # mu(Q)MSSM DRbar     
     2     9.63167226E+00   # tan beta(Q)MSSM DRba
     3     2.43241679E+02   # higgs vev(Q)MSSM DRb
     4     2.30234275E+06   # mA^2(Q)MSSM DRbar   
#
BLOCK GAUGE Q=  1.09862507E+03  # The gauge couplings
     3     1.05313071E+00   # g3(Q) MSbar
#
BLOCK AU Q=  1.09862507E+03  # The trilinear couplings
  1  1     0.00000000E+00   # A_u(Q) DRbar
  2  2     0.00000000E+00   # A_c(Q) DRbar
  3  3    -5.20713786E+02   # A_t(Q) DRbar
#
BLOCK AD Q=  1.09862507E+03  # The trilinear couplings
  1  1     0.00000000E+00   # A_d(Q) DRbar
  2  2     0.00000000E+00   # A_s(Q) DRbar
  3  3    -7.83275622E+02   # A_b(Q) DRbar
#
BLOCK AE Q=  1.09862507E+03  # The trilinear couplings
  1  1     0.00000000E+00   # A_e(Q) DRbar
  2  2     0.00000000E+00   # A_mu(Q) DRbar
  3  3    -1.78852193E+02   # A_tau(Q) DRbar
#
BLOCK YU Q=  1.09862507E+03  # The Yukawa couplings
  3  3     8.73306713E-01   # y_t(Q) DRbar
#
BLOCK YD Q=  1.09862507E+03  # The Yukawa couplings
  3  3     1.36198959E-01   # y_b(Q) DRbar
#
BLOCK YE Q=  1.09862507E+03  # The Yukawa couplings
  3  3     9.90900945E-02   # y_tau(Q) DRbar
#
BLOCK MSOFT Q=  1.09862507E+03  # The soft SUSY breaking masses at the scale Q
     1     1.25459404E+02   # M_1(Q)              
     2     2.33056280E+02   # M_2(Q)              
     3     6.69284431E+02   # M_3(Q)              
    21     2.04348830E+06   # mH1^2(Q)            
    22    -1.69489026E+05   # mH2^2(Q)            
    31     1.45570737E+03   # meL(Q)              
    32     1.45570737E+03   # mmuL(Q)             
    33     1.44967248E+03   # mtauL(Q)            
    34     1.45113170E+03   # meR(Q)              
    35     1.45113170E+03   # mmuR(Q)             
    36     1.43894634E+03   # mtauR(Q)            
    41     1.53851945E+03   # mqL1(Q)             
    42     1.53851945E+03   # mqL2(Q)             
    43     1.27150657E+03   # mqL3(Q)             
    44     1.53533107E+03   # muR(Q)              
    45     1.53533107E+03   # mcR(Q)              
    46     9.34674342E+02   # mtR(Q)              
    47     1.53339994E+03   # mdR(Q)              
    48     1.53339994E+03   # msR(Q)              
    49     1.52101430E+03   # mbR(Q)              
#
#
#
#                             =================
#                             |The decay table|
#                             =================
#
# - The multi-body decays for the inos, stops and sbottoms are included.
#
# - The SUSY decays of the top quark are included.
#
#
#         PDG            Width
DECAY        23     2.41143316E+00   # Z width (SM calculation)
DECAY        24     2.00282196E+00   # W width (SM calculation)
#
#         PDG            Width
DECAY         6     1.56194983E+00   # top decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2           5        24   # BR(t ->  b    W+)
     0.00000000E+00    2           5        37   # BR(t ->  b    H+)
     0.00000000E+00    2     1000006   1000022   # BR(t -> ~t_1 ~chi_10)
     0.00000000E+00    2     1000006   1000023   # BR(t -> ~t_1 ~chi_20)
     0.00000000E+00    2     1000006   1000025   # BR(t -> ~t_1 ~chi_30)
     0.00000000E+00    2     1000006   1000035   # BR(t -> ~t_1 ~chi_40)
     0.00000000E+00    2     2000006   1000022   # BR(t -> ~t_2 ~chi_10)
     0.00000000E+00    2     2000006   1000023   # BR(t -> ~t_2 ~chi_20)
     0.00000000E+00    2     2000006   1000025   # BR(t -> ~t_2 ~chi_30)
     0.00000000E+00    2     2000006   1000035   # BR(t -> ~t_2 ~chi_40)
#
#         PDG            Width
DECAY        25     1.74556397E-03   # h decays
#          BR         NDA      ID1       ID2
     1.39750346E-01    2          15       -15   # BR(H1 -> tau- tau+)
     7.84634857E-01    2           5        -5   # BR(H1 -> b bb)
     7.08726118E-02    2          24       -24   # BR(H1 -> W+ W-)
     4.74218479E-03    2          23        23   # BR(H1 -> Z Z)
#
#         PDG            Width
DECAY        35     2.63857501E+00   # H decays
#          BR         NDA      ID1       ID2
     1.10658102E-01    2          15       -15   # BR(H -> tau- tau+)
     2.60600489E-01    2           6        -6   # BR(H -> t tb)
     6.27144880E-01    2           5        -5   # BR(H -> b bb)
     3.73136377E-04    2          24       -24   # BR(H -> W+ W-)
     1.85618475E-04    2          23        23   # BR(H -> Z Z)
     0.00000000E+00    2          24       -37   # BR(H -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(H -> W- H+)
     0.00000000E+00    2          37       -37   # BR(H -> H+ H-)
     1.03777426E-03    2          25        25   # BR(H -> h h)
     0.00000000E+00    2          36        36   # BR(H -> A A)
#
#         PDG            Width
DECAY        36     2.66158444E+00   # A decays
#          BR         NDA      ID1       ID2
     1.09715563E-01    2          15       -15   # BR(A -> tau- tau+)
     2.68093243E-01    2           6        -6   # BR(A -> t tb)
     6.21825730E-01    2           5        -5   # BR(A -> b bb)
     3.65463754E-04    2          23        25   # BR(A -> Z h)
     0.00000000E+00    2          23        35   # BR(A -> Z H)
     0.00000000E+00    2          24       -37   # BR(A -> W+ H-)
     0.00000000E+00    2         -24        37   # BR(A -> W- H+)
#
#         PDG            Width
DECAY        37     2.62953484E+00   # H+ decays
#          BR         NDA      ID1       ID2
     1.11229134E-01    2         -15        16   # BR(H+ -> tau+ nu_tau)
     8.88398184E-01    2           6        -5   # BR(H+ -> t bb)
     3.72682177E-04    2          24        25   # BR(H+ -> W+ h)
     0.00000000E+00    2          24        35   # BR(H+ -> W+ H)
     0.00000000E+00    2          24        36   # BR(H+ -> W+ A)
#
#         PDG            Width
DECAY   1000021     2.61914150E-03   # gluino decays
#           BR         NDA      ID1       ID2       ID3
     1.08568721E-02    3     1000022         1        -1   # BR(~g -> ~chi_10 d  db)
     3.85532351E-02    3     1000023         1        -1   # BR(~g -> ~chi_20 d  db)
     1.44423781E-05    3     1000025         1        -1   # BR(~g -> ~chi_30 d  db)
     3.78641719E-04    3     1000035         1        -1   # BR(~g -> ~chi_40 d  db)
     3.38409830E-02    3     1000022         2        -2   # BR(~g -> ~chi_10 u  ub)
     4.09634282E-02    3     1000023         2        -2   # BR(~g -> ~chi_20 u  ub)
     1.12060501E-05    3     1000025         2        -2   # BR(~g -> ~chi_30 u  ub)
     3.11741607E-04    3     1000035         2        -2   # BR(~g -> ~chi_40 u  ub)
     1.08568721E-02    3     1000022         3        -3   # BR(~g -> ~chi_10 s  sb)
     3.85532351E-02    3     1000023         3        -3   # BR(~g -> ~chi_20 s  sb)
     1.44423781E-05    3     1000025         3        -3   # BR(~g -> ~chi_30 s  sb)
     3.78641719E-04    3     1000035         3        -3   # BR(~g -> ~chi_40 s  sb)
     3.38409830E-02    3     1000022         4        -4   # BR(~g -> ~chi_10 c  cb)
     4.09634282E-02    3     1000023         4        -4   # BR(~g -> ~chi_20 c  cb)
     1.12060501E-05    3     1000025         4        -4   # BR(~g -> ~chi_30 c  cb)
     3.11741607E-04    3     1000035         4        -4   # BR(~g -> ~chi_40 c  cb)
     1.53100058E-02    3     1000022         5        -5   # BR(~g -> ~chi_10 b  bb)
     9.65125323E-02    3     1000023         5        -5   # BR(~g -> ~chi_20 b  bb)
     1.06208080E-03    3     1000025         5        -5   # BR(~g -> ~chi_30 b  bb)
     1.83692827E-03    3     1000035         5        -5   # BR(~g -> ~chi_40 b  bb)
     9.92065188E-02    3     1000022         6        -6   # BR(~g -> ~chi_10 t  tb)
     1.17953941E-02    3     1000023         6        -6   # BR(~g -> ~chi_20 t  tb)
     0.00000000E+00    3     1000025         6        -6   # BR(~g -> ~chi_30 t  tb)
     0.00000000E+00    3     1000035         6        -6   # BR(~g -> ~chi_40 t  tb)
     7.85597617E-02    3     1000024         1        -2   # BR(~g -> ~chi_1+ d  ub)
     7.85597617E-02    3    -1000024         2        -1   # BR(~g -> ~chi_1- u  db)
     6.72469173E-04    3     1000037         1        -2   # BR(~g -> ~chi_2+ d  ub)
     6.72469173E-04    3    -1000037         2        -1   # BR(~g -> ~chi_2- u  db)
     7.85597617E-02    3     1000024         3        -4   # BR(~g -> ~chi_1+ s  cb)
     7.85597617E-02    3    -1000024         4        -3   # BR(~g -> ~chi_1- c  sb)
     6.72469173E-04    3     1000037         3        -4   # BR(~g -> ~chi_2+ s  cb)
     6.72469173E-04    3    -1000037         4        -3   # BR(~g -> ~chi_2- c  sb)
     7.99935892E-02    3     1000024         5        -6   # BR(~g -> ~chi_1+ b  tb)
     7.99935892E-02    3    -1000024         6        -5   # BR(~g -> ~chi_1- t  bb)
     2.37496688E-02    3     1000037         5        -6   # BR(~g -> ~chi_2+ b  tb)
     2.37496688E-02    3    -1000037         6        -5   # BR(~g -> ~chi_2- t  bb)
     0.00000000E+00    3     1000006        -5       -24   # BR(~g -> ~t_1    bb W-)
     0.00000000E+00    3    -1000006         5        24   # BR(~g -> ~t_1*   b  W+)
     0.00000000E+00    3     1000006        -5       -37   # BR(~g -> ~t_1    bb H-)
     0.00000000E+00    3    -1000006         5        37   # BR(~g -> ~t_1*   b  H+)
#
#         PDG            Width
DECAY   1000006     1.75928469E+01   # stop1 decays
#          BR         NDA      ID1       ID2
     1.09448984E-01    2     1000022         6   # BR(~t_1 -> ~chi_10 t )
     2.41846014E-02    2     1000023         6   # BR(~t_1 -> ~chi_20 t )
     2.27512666E-01    2     1000025         6   # BR(~t_1 -> ~chi_30 t )
     1.72542842E-01    2     1000035         6   # BR(~t_1 -> ~chi_40 t )
     5.39584750E-02    2     1000024         5   # BR(~t_1 -> ~chi_1+ b )
     4.12352432E-01    2     1000037         5   # BR(~t_1 -> ~chi_2+ b )
     0.00000000E+00    2     1000021         6   # BR(~t_1 -> ~g      t )
     0.00000000E+00    2     1000005        37   # BR(~t_1 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_1 -> ~b_2    H+)
     0.00000000E+00    2     1000005        24   # BR(~t_1 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_1 -> ~b_2    W+)
#
#         PDG            Width
DECAY   2000006     5.75326698E+01   # stop2 decays
#          BR         NDA      ID1       ID2
     2.30908763E-03    2     1000022         6   # BR(~t_2 -> ~chi_10 t )
     7.77273606E-02    2     1000023         6   # BR(~t_2 -> ~chi_20 t )
     1.19356099E-01    2     1000025         6   # BR(~t_2 -> ~chi_30 t )
     1.33939015E-01    2     1000035         6   # BR(~t_2 -> ~chi_40 t )
     1.57657021E-01    2     1000024         5   # BR(~t_2 -> ~chi_1+ b )
     2.24336879E-02    2     1000037         5   # BR(~t_2 -> ~chi_2+ b )
     4.56063239E-01    2     1000021         6   # BR(~t_2 -> ~g      t )
     1.34554106E-02    2     1000006        25   # BR(~t_2 -> ~t_1    h )
     0.00000000E+00    2     1000006        35   # BR(~t_2 -> ~t_1    H )
     0.00000000E+00    2     1000006        36   # BR(~t_2 -> ~t_1    A )
     0.00000000E+00    2     1000005        37   # BR(~t_2 -> ~b_1    H+)
     0.00000000E+00    2     2000005        37   # BR(~t_2 -> ~b_2    H+)
     1.70590802E-02    2     1000006        23   # BR(~t_2 -> ~t_1    Z )
     0.00000000E+00    2     1000005        24   # BR(~t_2 -> ~b_1    W+)
     0.00000000E+00    2     2000005        24   # BR(~t_2 -> ~b_2    W+)
#
#         PDG            Width
DECAY   1000005     6.09457233E+01   # sbottom1 decays
#          BR         NDA      ID1       ID2
     4.08034135E-03    2     1000022         5   # BR(~b_1 -> ~chi_10 b )
     7.56044373E-02    2     1000023         5   # BR(~b_1 -> ~chi_20 b )
     3.20158717E-03    2     1000025         5   # BR(~b_1 -> ~chi_30 b )
     7.01193659E-03    2     1000035         5   # BR(~b_1 -> ~chi_40 b )
     1.48222955E-01    2    -1000024         6   # BR(~b_1 -> ~chi_1- t )
     2.40382303E-01    2    -1000037         6   # BR(~b_1 -> ~chi_2- t )
     4.91084085E-01    2     1000021         5   # BR(~b_1 -> ~g      b )
     0.00000000E+00    2     1000006       -37   # BR(~b_1 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_1 -> ~t_2    H-)
     3.04123541E-02    2     1000006       -24   # BR(~b_1 -> ~t_1    W-)
     0.00000000E+00    2     2000006       -24   # BR(~b_1 -> ~t_2    W-)
#
#         PDG            Width
DECAY   2000005     5.16683385E+01   # sbottom2 decays
#          BR         NDA      ID1       ID2
     1.64661552E-02    2     1000022         5   # BR(~b_2 -> ~chi_10 b )
     3.30476030E-04    2     1000023         5   # BR(~b_2 -> ~chi_20 b )
     4.53772512E-03    2     1000025         5   # BR(~b_2 -> ~chi_30 b )
     4.36303330E-03    2     1000035         5   # BR(~b_2 -> ~chi_40 b )
     5.69055898E-04    2    -1000024         6   # BR(~b_2 -> ~chi_1- t )
     8.49106743E-03    2    -1000037         6   # BR(~b_2 -> ~chi_2- t )
     9.64528400E-01    2     1000021         5   # BR(~b_2 -> ~g      b )
     1.88178360E-04    2     1000005        25   # BR(~b_2 -> ~b_1    h )
     0.00000000E+00    2     1000005        35   # BR(~b_2 -> ~b_1    H )
     0.00000000E+00    2     1000005        36   # BR(~b_2 -> ~b_1    A )
     0.00000000E+00    2     1000006       -37   # BR(~b_2 -> ~t_1    H-)
     0.00000000E+00    2     2000006       -37   # BR(~b_2 -> ~t_2    H-)
     1.69299183E-04    2     1000005        23   # BR(~b_2 -> ~b_1    Z )
     5.38503978E-05    2     1000006       -24   # BR(~b_2 -> ~t_1    W-)
     3.02759424E-04    2     2000006       -24   # BR(~b_2 -> ~t_2    W-)
#
#         PDG            Width
DECAY   1000002     6.97366941E+01   # sup_L decays
#          BR         NDA      ID1       ID2
     2.13518517E-03    2     1000022         2   # BR(~u_L -> ~chi_10 u)
     8.49210037E-02    2     1000023         2   # BR(~u_L -> ~chi_20 u)
     2.72533879E-04    2     1000025         2   # BR(~u_L -> ~chi_30 u)
     4.03435386E-03    2     1000035         2   # BR(~u_L -> ~chi_40 u)
     1.71851278E-01    2     1000024         1   # BR(~u_L -> ~chi_1+ d)
     5.12165391E-03    2     1000037         1   # BR(~u_L -> ~chi_2+ d)
     7.31663991E-01    2     1000021         2   # BR(~u_L -> ~g      u)
#
#         PDG            Width
DECAY   2000002     5.44569139E+01   # sup_R decays
#          BR         NDA      ID1       ID2
     6.29470484E-02    2     1000022         2   # BR(~u_R -> ~chi_10 u)
     2.11300540E-04    2     1000023         2   # BR(~u_R -> ~chi_20 u)
     1.17692759E-04    2     1000025         2   # BR(~u_R -> ~chi_30 u)
     4.60583405E-04    2     1000035         2   # BR(~u_R -> ~chi_40 u)
     0.00000000E+00    2     1000024         1   # BR(~u_R -> ~chi_1+ d)
     0.00000000E+00    2     1000037         1   # BR(~u_R -> ~chi_2+ d)
     9.36263375E-01    2     1000021         2   # BR(~u_R -> ~g      u)
#
#         PDG            Width
DECAY   1000001     7.00587302E+01   # sdown_L decays
#          BR         NDA      ID1       ID2
     4.17598062E-03    2     1000022         1   # BR(~d_L -> ~chi_10 d)
     8.11292744E-02    2     1000023         1   # BR(~d_L -> ~chi_20 d)
     4.53766766E-04    2     1000025         1   # BR(~d_L -> ~chi_30 d)
     5.32901315E-03    2     1000035         1   # BR(~d_L -> ~chi_40 d)
     1.59960207E-01    2    -1000024         2   # BR(~d_L -> ~chi_1- u)
     1.51367547E-02    2    -1000037         2   # BR(~d_L -> ~chi_2- u)
     7.33815004E-01    2     1000021         1   # BR(~d_L -> ~g      d)
#
#         PDG            Width
DECAY   2000001     5.17432847E+01   # sdown_R decays
#          BR         NDA      ID1       ID2
     1.65465685E-02    2     1000022         1   # BR(~d_R -> ~chi_10 d)
     5.55400145E-05    2     1000023         1   # BR(~d_R -> ~chi_20 d)
     3.09266699E-05    2     1000025         1   # BR(~d_R -> ~chi_30 d)
     1.21026644E-04    2     1000035         1   # BR(~d_R -> ~chi_40 d)
     0.00000000E+00    2    -1000024         2   # BR(~d_R -> ~chi_1- u)
     0.00000000E+00    2    -1000037         2   # BR(~d_R -> ~chi_2- u)
     9.83245938E-01    2     1000021         1   # BR(~d_R -> ~g      d)
#
#         PDG            Width
DECAY   1000004     6.97366941E+01   # scharm_L decays
#          BR         NDA      ID1       ID2
     2.13518517E-03    2     1000022         4   # BR(~c_L -> ~chi_10 c)
     8.49210037E-02    2     1000023         4   # BR(~c_L -> ~chi_20 c)
     2.72533879E-04    2     1000025         4   # BR(~c_L -> ~chi_30 c)
     4.03435386E-03    2     1000035         4   # BR(~c_L -> ~chi_40 c)
     1.71851278E-01    2     1000024         3   # BR(~c_L -> ~chi_1+ s)
     5.12165391E-03    2     1000037         3   # BR(~c_L -> ~chi_2+ s)
     7.31663991E-01    2     1000021         4   # BR(~c_L -> ~g      c)
#
#         PDG            Width
DECAY   2000004     5.44569139E+01   # scharm_R decays
#          BR         NDA      ID1       ID2
     6.29470484E-02    2     1000022         4   # BR(~c_R -> ~chi_10 c)
     2.11300540E-04    2     1000023         4   # BR(~c_R -> ~chi_20 c)
     1.17692759E-04    2     1000025         4   # BR(~c_R -> ~chi_30 c)
     4.60583405E-04    2     1000035         4   # BR(~c_R -> ~chi_40 c)
     0.00000000E+00    2     1000024         3   # BR(~c_R -> ~chi_1+ s)
     0.00000000E+00    2     1000037         3   # BR(~c_R -> ~chi_2+ s)
     9.36263375E-01    2     1000021         4   # BR(~c_R -> ~g      c)
#
#         PDG            Width
DECAY   1000003     7.00587302E+01   # sstrange_L decays
#          BR         NDA      ID1       ID2
     4.17598062E-03    2     1000022         3   # BR(~s_L -> ~chi_10 s)
     8.11292744E-02    2     1000023         3   # BR(~s_L -> ~chi_20 s)
     4.53766766E-04    2     1000025         3   # BR(~s_L -> ~chi_30 s)
     5.32901315E-03    2     1000035         3   # BR(~s_L -> ~chi_40 s)
     1.59960207E-01    2    -1000024         4   # BR(~s_L -> ~chi_1- c)
     1.51367547E-02    2    -1000037         4   # BR(~s_L -> ~chi_2- c)
     7.33815004E-01    2     1000021         3   # BR(~s_L -> ~g      s)
#
#         PDG            Width
DECAY   2000003     5.17432847E+01   # sstrange_R decays
#          BR         NDA      ID1       ID2
     1.65465685E-02    2     1000022         3   # BR(~s_R -> ~chi_10 s)
     5.55400145E-05    2     1000023         3   # BR(~s_R -> ~chi_20 s)
     3.09266699E-05    2     1000025         3   # BR(~s_R -> ~chi_30 s)
     1.21026644E-04    2     1000035         3   # BR(~s_R -> ~chi_40 s)
     0.00000000E+00    2    -1000024         4   # BR(~s_R -> ~chi_1- c)
     0.00000000E+00    2    -1000037         4   # BR(~s_R -> ~chi_2- c)
     9.83245938E-01    2     1000021         3   # BR(~s_R -> ~g      s)
#
#         PDG            Width
DECAY   1000011     1.89560173E+01   # selectron_L decays
#          BR         NDA      ID1       ID2
     8.50695192E-02    2     1000022        11   # BR(~e_L -> ~chi_10 e-)
     3.04422052E-01    2     1000023        11   # BR(~e_L -> ~chi_20 e-)
     4.61195429E-04    2     1000025        11   # BR(~e_L -> ~chi_30 e-)
     9.79407881E-03    2     1000035        11   # BR(~e_L -> ~chi_40 e-)
     5.49478974E-01    2    -1000024        12   # BR(~e_L -> ~chi_1- nu_e)
     5.07741802E-02    2    -1000037        12   # BR(~e_L -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   2000011     7.28776336E+00   # selectron_R decays
#          BR         NDA      ID1       ID2
     9.87881974E-01    2     1000022        11   # BR(~e_R -> ~chi_10 e-)
     3.29981923E-03    2     1000023        11   # BR(~e_R -> ~chi_20 e-)
     1.79752313E-03    2     1000025        11   # BR(~e_R -> ~chi_30 e-)
     7.02068362E-03    2     1000035        11   # BR(~e_R -> ~chi_40 e-)
     0.00000000E+00    2    -1000024        12   # BR(~e_R -> ~chi_1- nu_e)
     0.00000000E+00    2    -1000037        12   # BR(~e_R -> ~chi_2- nu_e)
#
#         PDG            Width
DECAY   1000013     1.89560173E+01   # smuon_L decays
#          BR         NDA      ID1       ID2
     8.50695192E-02    2     1000022        13   # BR(~mu_L -> ~chi_10 mu-)
     3.04422052E-01    2     1000023        13   # BR(~mu_L -> ~chi_20 mu-)
     4.61195429E-04    2     1000025        13   # BR(~mu_L -> ~chi_30 mu-)
     9.79407881E-03    2     1000035        13   # BR(~mu_L -> ~chi_40 mu-)
     5.49478974E-01    2    -1000024        14   # BR(~mu_L -> ~chi_1- nu_mu)
     5.07741802E-02    2    -1000037        14   # BR(~mu_L -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   2000013     7.28776336E+00   # smuon_R decays
#          BR         NDA      ID1       ID2
     9.87881974E-01    2     1000022        13   # BR(~mu_R -> ~chi_10 mu-)
     3.29981923E-03    2     1000023        13   # BR(~mu_R -> ~chi_20 mu-)
     1.79752313E-03    2     1000025        13   # BR(~mu_R -> ~chi_30 mu-)
     7.02068362E-03    2     1000035        13   # BR(~mu_R -> ~chi_40 mu-)
     0.00000000E+00    2    -1000024        14   # BR(~mu_R -> ~chi_1- nu_mu)
     0.00000000E+00    2    -1000037        14   # BR(~mu_R -> ~chi_2- nu_mu)
#
#         PDG            Width
DECAY   1000015     8.24807251E+00   # stau_1 decays
#          BR         NDA      ID1       ID2
     8.38602901E-01    2     1000022        15   # BR(~tau_1 -> ~chi_10  tau-)
     4.86007412E-02    2     1000023        15   # BR(~tau_1 -> ~chi_20  tau-)
     1.14356540E-02    2     1000025        15   # BR(~tau_1 -> ~chi_30  tau-)
     8.52209631E-03    2     1000035        15   # BR(~tau_1 -> ~chi_40  tau-)
     8.65282764E-02    2    -1000024        16   # BR(~tau_1 -> ~chi_1-  nu_tau)
     6.31033104E-03    2    -1000037        16   # BR(~tau_1 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_1 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_1 -> ~nu_tauL W-)
#
#         PDG            Width
DECAY   2000015     1.85221018E+01   # stau_2 decays
#          BR         NDA      ID1       ID2
     9.88781367E-02    2     1000022        15   # BR(~tau_2 -> ~chi_10  tau-)
     2.91028031E-01    2     1000023        15   # BR(~tau_2 -> ~chi_20  tau-)
     8.07736393E-03    2     1000025        15   # BR(~tau_2 -> ~chi_30  tau-)
     1.98225111E-02    2     1000035        15   # BR(~tau_2 -> ~chi_40  tau-)
     5.22468322E-01    2    -1000024        16   # BR(~tau_2 -> ~chi_1-  nu_tau)
     5.97256353E-02    2    -1000037        16   # BR(~tau_2 -> ~chi_2-  nu_tau)
     0.00000000E+00    2     1000016       -37   # BR(~tau_2 -> ~nu_tauL H-)
     0.00000000E+00    2     1000016       -24   # BR(~tau_2 -> ~nu_tauL W-)
     0.00000000E+00    2     1000015        25   # BR(~tau_2 -> ~tau_1 h)
     0.00000000E+00    2     1000015        35   # BR(~tau_2 -> ~tau_1 H)
     0.00000000E+00    2     1000015        36   # BR(~tau_2 -> ~tau_1 A)
     0.00000000E+00    2     1000015        23   # BR(~tau_2 -> ~tau_1 Z)
#
#         PDG            Width
DECAY   1000012     1.89960334E+01   # snu_eL decays
#          BR         NDA      ID1       ID2
     1.05777173E-01    2     1000022        12   # BR(~nu_eL -> ~chi_10 nu_e)
     2.65110565E-01    2     1000023        12   # BR(~nu_eL -> ~chi_20 nu_e)
     2.27708934E-03    2     1000025        12   # BR(~nu_eL -> ~chi_30 nu_e)
     2.27045033E-02    2     1000035        12   # BR(~nu_eL -> ~chi_40 nu_e)
     5.87042258E-01    2     1000024        11   # BR(~nu_eL -> ~chi_1+ e-)
     1.70884115E-02    2     1000037        11   # BR(~nu_eL -> ~chi_2+ e-)
#
#         PDG            Width
DECAY   1000014     1.89960334E+01   # snu_muL decays
#          BR         NDA      ID1       ID2
     1.05777173E-01    2     1000022        14   # BR(~nu_muL -> ~chi_10 nu_mu)
     2.65110565E-01    2     1000023        14   # BR(~nu_muL -> ~chi_20 nu_mu)
     2.27708934E-03    2     1000025        14   # BR(~nu_muL -> ~chi_30 nu_mu)
     2.27045033E-02    2     1000035        14   # BR(~nu_muL -> ~chi_40 nu_mu)
     5.87042258E-01    2     1000024        13   # BR(~nu_muL -> ~chi_1+ mu-)
     1.70884115E-02    2     1000037        13   # BR(~nu_muL -> ~chi_2+ mu-)
#
#         PDG            Width
DECAY   1000016     1.91370930E+01   # snu_tauL decays
#          BR         NDA      ID1       ID2
     1.04554475E-01    2     1000022        16   # BR(~nu_tauL -> ~chi_10 nu_tau)
     2.61961375E-01    2     1000023        16   # BR(~nu_tauL -> ~chi_20 nu_tau)
     2.24673432E-03    2     1000025        16   # BR(~nu_tauL -> ~chi_30 nu_tau)
     2.23989114E-02    2     1000035        16   # BR(~nu_tauL -> ~chi_40 nu_tau)
     5.81434076E-01    2     1000024        15   # BR(~nu_tauL -> ~chi_1+ tau-)
     2.74044284E-02    2     1000037        15   # BR(~nu_tauL -> ~chi_2+ tau-)
     0.00000000E+00    2    -1000015       -37   # BR(~nu_tauL -> ~tau_1+ H-)
     0.00000000E+00    2    -2000015       -37   # BR(~nu_tauL -> ~tau_2+ H-)
     0.00000000E+00    2    -1000015       -24   # BR(~nu_tauL -> ~tau_1+ W-)
     0.00000000E+00    2    -2000015       -24   # BR(~nu_tauL -> ~tau_2+ W-)
#
#         PDG            Width
DECAY   1000024     6.04568843E-03   # chargino1+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_1+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_1+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_1+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_1+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_1+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_1+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_1+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_1+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_1+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_1+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_1+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_1+ -> ~b_2*  t )
     0.00000000E+00    2     1000012       -11   # BR(~chi_1+ -> ~nu_eL  e+  )
     0.00000000E+00    2     1000014       -13   # BR(~chi_1+ -> ~nu_muL  mu+ )
     0.00000000E+00    2     1000016       -15   # BR(~chi_1+ -> ~nu_tau1 tau+)
     0.00000000E+00    2    -1000011        12   # BR(~chi_1+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_1+ -> ~e_R+    nu_e)
     0.00000000E+00    2    -1000013        14   # BR(~chi_1+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_1+ -> ~mu_R+   nu_mu)
     0.00000000E+00    2    -1000015        16   # BR(~chi_1+ -> ~tau_1+  nu_tau)
     0.00000000E+00    2    -2000015        16   # BR(~chi_1+ -> ~tau_2+  nu_tau)
     1.00000000E+00    2     1000022        24   # BR(~chi_1+ -> ~chi_10  W+)
     0.00000000E+00    2     1000023        24   # BR(~chi_1+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_1+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_1+ -> ~chi_40  W+)
     0.00000000E+00    2     1000022        37   # BR(~chi_1+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_1+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_1+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_1+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000037     2.80411818E+00   # chargino2+ decays
#          BR         NDA      ID1       ID2
     0.00000000E+00    2     1000002        -1   # BR(~chi_2+ -> ~u_L   db)
     0.00000000E+00    2     2000002        -1   # BR(~chi_2+ -> ~u_R   db)
     0.00000000E+00    2    -1000001         2   # BR(~chi_2+ -> ~d_L*  u )
     0.00000000E+00    2    -2000001         2   # BR(~chi_2+ -> ~d_R*  u )
     0.00000000E+00    2     1000004        -3   # BR(~chi_2+ -> ~c_L   sb)
     0.00000000E+00    2     2000004        -3   # BR(~chi_2+ -> ~c_R   sb)
     0.00000000E+00    2    -1000003         4   # BR(~chi_2+ -> ~s_L*  c )
     0.00000000E+00    2    -2000003         4   # BR(~chi_2+ -> ~s_R*  c )
     0.00000000E+00    2     1000006        -5   # BR(~chi_2+ -> ~t_1   bb)
     0.00000000E+00    2     2000006        -5   # BR(~chi_2+ -> ~t_2   bb)
     0.00000000E+00    2    -1000005         6   # BR(~chi_2+ -> ~b_1*  t )
     0.00000000E+00    2    -2000005         6   # BR(~chi_2+ -> ~b_2*  t )
     0.00000000E+00    2     1000012       -11   # BR(~chi_2+ -> ~nu_eL  e+  )
     0.00000000E+00    2     1000014       -13   # BR(~chi_2+ -> ~nu_muL  mu+ )
     0.00000000E+00    2     1000016       -15   # BR(~chi_2+ -> ~nu_tau1 tau+)
     0.00000000E+00    2    -1000011        12   # BR(~chi_2+ -> ~e_L+    nu_e)
     0.00000000E+00    2    -2000011        12   # BR(~chi_2+ -> ~e_R+    nu_e)
     0.00000000E+00    2    -1000013        14   # BR(~chi_2+ -> ~mu_L+   nu_mu)
     0.00000000E+00    2    -2000013        14   # BR(~chi_2+ -> ~mu_R+   nu_mu)
     0.00000000E+00    2    -1000015        16   # BR(~chi_2+ -> ~tau_1+  nu_tau)
     0.00000000E+00    2    -2000015        16   # BR(~chi_2+ -> ~tau_2+  nu_tau)
     2.98772282E-01    2     1000024        23   # BR(~chi_2+ -> ~chi_1+  Z )
     9.50834392E-02    2     1000022        24   # BR(~chi_2+ -> ~chi_10  W+)
     3.47817700E-01    2     1000023        24   # BR(~chi_2+ -> ~chi_20  W+)
     0.00000000E+00    2     1000025        24   # BR(~chi_2+ -> ~chi_30  W+)
     0.00000000E+00    2     1000035        24   # BR(~chi_2+ -> ~chi_40  W+)
     2.58326579E-01    2     1000024        25   # BR(~chi_2+ -> ~chi_1+  h )
     0.00000000E+00    2     1000024        35   # BR(~chi_2+ -> ~chi_1+  H )
     0.00000000E+00    2     1000024        36   # BR(~chi_2+ -> ~chi_1+  A )
     0.00000000E+00    2     1000022        37   # BR(~chi_2+ -> ~chi_10  H+)
     0.00000000E+00    2     1000023        37   # BR(~chi_2+ -> ~chi_20  H+)
     0.00000000E+00    2     1000025        37   # BR(~chi_2+ -> ~chi_30  H+)
     0.00000000E+00    2     1000035        37   # BR(~chi_2+ -> ~chi_40  H+)
#
#         PDG            Width
DECAY   1000022     0.00000000E+00   # neutralino1 decays
#
#         PDG            Width
DECAY   1000023     1.00000000E-03   # neutralino2 decays
#          BR         NDA      ID1       ID2
     1.00000000E+00    2     1000022        23   # BR(~chi_20 -> ~chi_10   Z )
     0.00000000E+00    2     1000024       -24   # BR(~chi_20 -> ~chi_1+   W-)
     0.00000000E+00    2    -1000024        24   # BR(~chi_20 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_20 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_20 -> ~chi_2-   W+)
     0.00000000E+00    2     1000022        25   # BR(~chi_20 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_20 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_20 -> ~chi_10   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_20 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_20 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_20 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_20 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_20 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_20 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_20 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_20 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_20 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_20 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_20 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_20 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_20 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_20 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_20 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_20 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_20 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_20 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_20 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_20 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_20 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_20 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_20 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_20 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_20 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_20 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_20 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_20 -> ~b_2*     b )
     0.00000000E+00    2     1000011       -11   # BR(~chi_20 -> ~e_L-     e+)
     0.00000000E+00    2    -1000011        11   # BR(~chi_20 -> ~e_L+     e-)
     0.00000000E+00    2     2000011       -11   # BR(~chi_20 -> ~e_R-     e+)
     0.00000000E+00    2    -2000011        11   # BR(~chi_20 -> ~e_R+     e-)
     0.00000000E+00    2     1000013       -13   # BR(~chi_20 -> ~mu_L-    mu+)
     0.00000000E+00    2    -1000013        13   # BR(~chi_20 -> ~mu_L+    mu-)
     0.00000000E+00    2     2000013       -13   # BR(~chi_20 -> ~mu_R-    mu+)
     0.00000000E+00    2    -2000013        13   # BR(~chi_20 -> ~mu_R+    mu-)
     0.00000000E+00    2     1000015       -15   # BR(~chi_20 -> ~tau_1-   tau+)
     0.00000000E+00    2    -1000015        15   # BR(~chi_20 -> ~tau_1+   tau-)
     0.00000000E+00    2     2000015       -15   # BR(~chi_20 -> ~tau_2-   tau+)
     0.00000000E+00    2    -2000015        15   # BR(~chi_20 -> ~tau_2+   tau-)
     0.00000000E+00    2     1000012       -12   # BR(~chi_20 -> ~nu_eL    nu_eb)
     0.00000000E+00    2    -1000012        12   # BR(~chi_20 -> ~nu_eL*   nu_e )
     0.00000000E+00    2     1000014       -14   # BR(~chi_20 -> ~nu_muL   nu_mub)
     0.00000000E+00    2    -1000014        14   # BR(~chi_20 -> ~nu_muL*  nu_mu )
     0.00000000E+00    2     1000016       -16   # BR(~chi_20 -> ~nu_tau1  nu_taub)
     0.00000000E+00    2    -1000016        16   # BR(~chi_20 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000025     2.66094361E+00   # neutralino3 decays
#          BR         NDA      ID1       ID2
     1.03551919E-01    2     1000022        23   # BR(~chi_30 -> ~chi_10   Z )
     2.50581402E-01    2     1000023        23   # BR(~chi_30 -> ~chi_20   Z )
     3.04220186E-01    2     1000024       -24   # BR(~chi_30 -> ~chi_1+   W-)
     3.04220186E-01    2    -1000024        24   # BR(~chi_30 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_30 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_30 -> ~chi_2-   W+)
     2.11117491E-02    2     1000022        25   # BR(~chi_30 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_30 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_30 -> ~chi_10   A )
     1.63145570E-02    2     1000023        25   # BR(~chi_30 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_30 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_30 -> ~chi_20   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_30 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_30 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_30 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_30 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_30 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_30 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_30 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_30 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_30 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_30 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_30 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_30 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_30 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_30 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_30 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_30 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_30 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_30 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_30 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_30 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_30 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_30 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_30 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_30 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_30 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_30 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_30 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_30 -> ~b_2*     b )
     0.00000000E+00    2     1000011       -11   # BR(~chi_30 -> ~e_L-     e+)
     0.00000000E+00    2    -1000011        11   # BR(~chi_30 -> ~e_L+     e-)
     0.00000000E+00    2     2000011       -11   # BR(~chi_30 -> ~e_R-     e+)
     0.00000000E+00    2    -2000011        11   # BR(~chi_30 -> ~e_R+     e-)
     0.00000000E+00    2     1000013       -13   # BR(~chi_30 -> ~mu_L-    mu+)
     0.00000000E+00    2    -1000013        13   # BR(~chi_30 -> ~mu_L+    mu-)
     0.00000000E+00    2     2000013       -13   # BR(~chi_30 -> ~mu_R-    mu+)
     0.00000000E+00    2    -2000013        13   # BR(~chi_30 -> ~mu_R+    mu-)
     0.00000000E+00    2     1000015       -15   # BR(~chi_30 -> ~tau_1-   tau+)
     0.00000000E+00    2    -1000015        15   # BR(~chi_30 -> ~tau_1+   tau-)
     0.00000000E+00    2     2000015       -15   # BR(~chi_30 -> ~tau_2-   tau+)
     0.00000000E+00    2    -2000015        15   # BR(~chi_30 -> ~tau_2+   tau-)
     0.00000000E+00    2     1000012       -12   # BR(~chi_30 -> ~nu_eL    nu_eb)
     0.00000000E+00    2    -1000012        12   # BR(~chi_30 -> ~nu_eL*   nu_e )
     0.00000000E+00    2     1000014       -14   # BR(~chi_30 -> ~nu_muL   nu_mub)
     0.00000000E+00    2    -1000014        14   # BR(~chi_30 -> ~nu_muL*  nu_mu )
     0.00000000E+00    2     1000016       -16   # BR(~chi_30 -> ~nu_tau1  nu_taub)
     0.00000000E+00    2    -1000016        16   # BR(~chi_30 -> ~nu_tau1* nu_tau )
#
#         PDG            Width
DECAY   1000035     2.76313390E+00   # neutralino4 decays
#          BR         NDA      ID1       ID2
     2.45444969E-02    2     1000022        23   # BR(~chi_40 -> ~chi_10   Z )
     2.36477385E-02    2     1000023        23   # BR(~chi_40 -> ~chi_20   Z )
     0.00000000E+00    2     1000025        23   # BR(~chi_40 -> ~chi_30   Z )
     3.16676477E-01    2     1000024       -24   # BR(~chi_40 -> ~chi_1+   W-)
     3.16676477E-01    2    -1000024        24   # BR(~chi_40 -> ~chi_1-   W+)
     0.00000000E+00    2     1000037       -24   # BR(~chi_40 -> ~chi_2+   W-)
     0.00000000E+00    2    -1000037        24   # BR(~chi_40 -> ~chi_2-   W+)
     8.67251407E-02    2     1000022        25   # BR(~chi_40 -> ~chi_10   h )
     0.00000000E+00    2     1000022        35   # BR(~chi_40 -> ~chi_10   H )
     0.00000000E+00    2     1000022        36   # BR(~chi_40 -> ~chi_10   A )
     2.31729670E-01    2     1000023        25   # BR(~chi_40 -> ~chi_20   h )
     0.00000000E+00    2     1000023        35   # BR(~chi_40 -> ~chi_20   H )
     0.00000000E+00    2     1000023        36   # BR(~chi_40 -> ~chi_20   A )
     0.00000000E+00    2     1000025        25   # BR(~chi_40 -> ~chi_30   h )
     0.00000000E+00    2     1000025        35   # BR(~chi_40 -> ~chi_30   H )
     0.00000000E+00    2     1000025        36   # BR(~chi_40 -> ~chi_30   A )
     0.00000000E+00    2     1000024       -37   # BR(~chi_40 -> ~chi_1+   H-)
     0.00000000E+00    2    -1000024        37   # BR(~chi_40 -> ~chi_1-   H+)
     0.00000000E+00    2     1000037       -37   # BR(~chi_40 -> ~chi_2+   H-)
     0.00000000E+00    2    -1000037        37   # BR(~chi_40 -> ~chi_2-   H+)
     0.00000000E+00    2     1000002        -2   # BR(~chi_40 -> ~u_L      ub)
     0.00000000E+00    2    -1000002         2   # BR(~chi_40 -> ~u_L*     u )
     0.00000000E+00    2     2000002        -2   # BR(~chi_40 -> ~u_R      ub)
     0.00000000E+00    2    -2000002         2   # BR(~chi_40 -> ~u_R*     u )
     0.00000000E+00    2     1000001        -1   # BR(~chi_40 -> ~d_L      db)
     0.00000000E+00    2    -1000001         1   # BR(~chi_40 -> ~d_L*     d )
     0.00000000E+00    2     2000001        -1   # BR(~chi_40 -> ~d_R      db)
     0.00000000E+00    2    -2000001         1   # BR(~chi_40 -> ~d_R*     d )
     0.00000000E+00    2     1000004        -4   # BR(~chi_40 -> ~c_L      cb)
     0.00000000E+00    2    -1000004         4   # BR(~chi_40 -> ~c_L*     c )
     0.00000000E+00    2     2000004        -4   # BR(~chi_40 -> ~c_R      cb)
     0.00000000E+00    2    -2000004         4   # BR(~chi_40 -> ~c_R*     c )
     0.00000000E+00    2     1000003        -3   # BR(~chi_40 -> ~s_L      sb)
     0.00000000E+00    2    -1000003         3   # BR(~chi_40 -> ~s_L*     s )
     0.00000000E+00    2     2000003        -3   # BR(~chi_40 -> ~s_R      sb)
     0.00000000E+00    2    -2000003         3   # BR(~chi_40 -> ~s_R*     s )
     0.00000000E+00    2     1000006        -6   # BR(~chi_40 -> ~t_1      tb)
     0.00000000E+00    2    -1000006         6   # BR(~chi_40 -> ~t_1*     t )
     0.00000000E+00    2     2000006        -6   # BR(~chi_40 -> ~t_2      tb)
     0.00000000E+00    2    -2000006         6   # BR(~chi_40 -> ~t_2*     t )
     0.00000000E+00    2     1000005        -5   # BR(~chi_40 -> ~b_1      bb)
     0.00000000E+00    2    -1000005         5   # BR(~chi_40 -> ~b_1*     b )
     0.00000000E+00    2     2000005        -5   # BR(~chi_40 -> ~b_2      bb)
     0.00000000E+00    2    -2000005         5   # BR(~chi_40 -> ~b_2*     b )
     0.00000000E+00    2     1000011       -11   # BR(~chi_40 -> ~e_L-     e+)
     0.00000000E+00    2    -1000011        11   # BR(~chi_40 -> ~e_L+     e-)
     0.00000000E+00    2     2000011       -11   # BR(~chi_40 -> ~e_R-     e+)
     0.00000000E+00    2    -2000011        11   # BR(~chi_40 -> ~e_R+     e-)
     0.00000000E+00    2     1000013       -13   # BR(~chi_40 -> ~mu_L-    mu+)
     0.00000000E+00    2    -1000013        13   # BR(~chi_40 -> ~mu_L+    mu-)
     0.00000000E+00    2     2000013       -13   # BR(~chi_40 -> ~mu_R-    mu+)
     0.00000000E+00    2    -2000013        13   # BR(~chi_40 -> ~mu_R+    mu-)
     0.00000000E+00    2     1000015       -15   # BR(~chi_40 -> ~tau_1-   tau+)
     0.00000000E+00    2    -1000015        15   # BR(~chi_40 -> ~tau_1+   tau-)
     0.00000000E+00    2     2000015       -15   # BR(~chi_40 -> ~tau_2-   tau+)
     0.00000000E+00    2    -2000015        15   # BR(~chi_40 -> ~tau_2+   tau-)
     0.00000000E+00    2     1000012       -12   # BR(~chi_40 -> ~nu_eL    nu_eb)
     0.00000000E+00    2    -1000012        12   # BR(~chi_40 -> ~nu_eL*   nu_e )
     0.00000000E+00    2     1000014       -14   # BR(~chi_40 -> ~nu_muL   nu_mub)
     0.00000000E+00    2    -1000014        14   # BR(~chi_40 -> ~nu_muL*  nu_mu )
     0.00000000E+00    2     1000016       -16   # BR(~chi_40 -> ~nu_tau1  nu_taub)
     0.00000000E+00    2    -1000016        16   # BR(~chi_40 -> ~nu_tau1* nu_tau )
pythia8-8.1.86.orig/examples/main54.cc0000644000175000017500000000765512357054701015602 0ustar  sunsun// main54.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program compares the internal and LHAPDF implementations of the
// NNPDF 2.3 QCD+QED sets, for results and for timing.
// Author: Juan Rojo.

#include "Pythia8/Pythia.h"
using namespace Pythia8;
 
int main() {

  cout<<"\n NNPDF2.3 QED LO phenomenology \n "< 1e-8) exit(-10);
        }
      }
    }

    // Check photon.
    cout << "\n Now checking the photon PDF \n" << endl;
    for (int iq = 0; iq < 2; iq++) {
      cout << "  " << "x*gamma" << ", Q2 = " << Q2[iq] << endl;
      cout << "   x \t     Pythia8\t LHAPDF\t diff(%)" << endl;
      for (int ix = 0; ix < 2; ix++) {
        double a = pdfs_nnpdf.xf( 22, xlha[ix], Q2[iq]);
        double b = pdfs_nnpdf_lha.xf( 22, xlha[ix], Q2[iq]);
        double diff = 1e2 * fabs((a-b)/b);
        cout << scientific << xlha[ix] << " " << a << " " << b
             << " " << diff << endl;
        if(diff > 1e-8) exit(-10);
      }
    }
    
    // Now check the timings for evolution.
    cout << "\n Checking timings " << endl;
    
    clock_t t1 = clock();
    for (int f = -4; f < 4; f++) {
      for (int iq = 0; iq < nq; iq++) {
        double qq2 = 2.0 * pow( 1e6 / 2.0, double(iq)/nq);
        for (int ix = 0; ix < nx; ix++) {
          double xx = 1e-6 * pow( 9e-1 / 1e-6, double(ix)/nx);
          pdfs_nnpdf.xf(f,xx,qq2);
        }
      }
    }
    clock_t t2 = clock();
    cout << " NNPDF internal timing = " << (t2-t1)/(double)CLOCKS_PER_SEC
         << endl;
    
    t1=clock();
    for (int f = -4; f < 4; f++) {
      for (int iq = 0; iq < nq; iq++) {
        double qq2 = 2.0 * pow(1e6 / 2.0, double(iq)/nq);
        for (int ix = 0; ix < nx; ix++) {
          double xx = 1e-6 * pow( 9e-1 / 1e-6, double(ix)/nx);
          pdfs_nnpdf_lha.xf(f,xx,qq2);
        }
      }
    }
    t2=clock();
    cout << " NNPDF LHAPDF   timing = " << (t2-t1)/(double)CLOCKS_PER_SEC
         << endl;
    
  } // End loop over NNPDF internal sets

  // Done.
  cout << "\n Checked that LHAPDF and Internal Pythia8 give identical"
       << " results\n" << endl;

  return 0;
}
pythia8-8.1.86.orig/examples/main24.cc0000644000175000017500000000420212357054677015574 0ustar  sunsun// main24.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Peter Skands, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how to run SUSY processes in Pythia8.
// All input is specified in the main22.cmnd file.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Generator. Shorthand for the event.
  Pythia pythia;
  Event& event = pythia.event;

  // Read in commands from external file.
  pythia.readFile("main24.cmnd");

  // Extract settings to be used in the main program.
  int nEvent   = pythia.mode("Main:numberOfEvents");
  int nAbort   = pythia.mode("Main:timesAllowErrors");
  double eCM   = pythia.parm("Beams:eCM");

  // Initialize.
  pythia.init();

  // Histograms.
  double epTol = 1e-6 * eCM;
  Hist epCons("deviation from energy-momentum conservation",100,0.,epTol);
  Hist nFinal("final particle multiplicity",100,-0.5,799.5);
  Hist dnparticledy("dn/dy for particles",100,-10.,10.);

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if failure.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Loop over final particles in the event.
    int nFin = 0;
    Vec4 pSum;
    for (int i = 0; i < event.size(); ++i) if (event[i].isFinal()) {
      nFin++;
      pSum += event[i].p();
      dnparticledy.fill(event[i].y());
    }

    // Check and print event with too big energy-momentum deviation.
    nFinal.fill(nFin);
    double epDev = abs(pSum.e() - eCM) + abs(pSum.px()) + abs(pSum.py())
      + abs(pSum.pz());
    epCons.fill(epDev);
    if (epDev > epTol) {
      cout << " Warning! Event with epDev = " << scientific
           << setprecision(4) << epDev << " now listed:";
      event.list();
    }

  // End of event loop.
  }

  // Final statistics and histogram output.
  pythia.stat();
  cout << epCons << nFinal << dnparticledy;

  return 0;
}

pythia8-8.1.86.orig/examples/ttbar.lhe0000644000175000017500000052660112357054721016003 0ustar  sunsun


    2212   -2212  9.800000E+02  9.800000E+02     0     0     7     7     3     2
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    12    81  1.000000E+00  1.781258E+02  7.822260E-03  1.152237E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  1.5922951061E+02  1.5922951061E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -2.1973921214E+02  2.1973921214E+02  0.0000000000E+00 0. 9.
       6    2    1    2  101    0  3.5145847950E+01 -9.6766579979E+00 -8.8099503009E+01  1.9874862308E+02  1.7438642265E+02 0. 9.
      -6    2    1    2    0  102 -3.5145847950E+01  9.6766579979E+00  2.7589801475E+01  1.8022009968E+02  1.7432503791E+02 0. 9.
      24    2    3    0    0    0  1.9689642722E+00 -3.7950698253E+01 -1.1596085457E+02  1.4679266217E+02  8.1590646254E+01 0. 9.
       5    1    3    0  101    0  3.3176883678E+01  2.8274040255E+01  2.7861351560E+01  5.1955960906E+01  4.8000000000E+00 0. 9.
     -24    2    4    0    0    0 -3.1578785909E+01  5.5314002198E+01 -3.0149333273E+01  1.0638014573E+02  7.9692499963E+01 0. 9.
      -5    1    4    0    0  102 -3.5670620407E+00 -4.5637344200E+01  5.7739134747E+01  7.3839953945E+01  4.8000000000E+00 0. 9.
      -3    1    5    0    0  103  4.1442552284E+01 -2.2894469457E+01 -5.4476177586E+01  7.2177183348E+01  5.0000000000E-01 0. 9.
       4    1    5    0  103    0 -3.9473588012E+01 -1.5056228795E+01 -6.1484676983E+01  7.4615478822E+01  1.5000000000E+00 0. 9.
       1    1    7    0  104    0  1.3164509392E+01  3.8468040029E+01 -4.0579798979E+01  5.7444959713E+01  3.3000000000E-01 0. 9.
      -2    1    7    0    0  104 -4.4743295301E+01  1.6845962169E+01  1.0430465707E+01  4.8935186018E+01  3.3000000000E-01 0. 9.
#pdf     2   -2  1.6247909246E-01  2.2422368586E-01  1.7812577007E+02  5.1220347339E-01  4.4028808929E-01


    12    82  1.000000E+00  1.971528E+02  7.831210E-03  1.136027E-01
      21   -1    0    0  101  102  0.0000000000E+00  0.0000000000E+00  6.9086798713E+01  6.9086798713E+01  0.0000000000E+00 0. 9.
      21   -1    0    0  102  103  0.0000000000E+00  0.0000000000E+00 -5.9096517700E+02  5.9096517700E+02  0.0000000000E+00 0. 9.
       6    2    1    2  101    0  6.2309982170E+01  6.4498794584E+01 -1.8765517190E+02  2.7161450753E+02  1.7469215432E+02 0. 9.
      -6    2    1    2    0  103 -6.2309982170E+01 -6.4498794584E+01 -3.3422320638E+02  3.8843746818E+02  1.7645363872E+02 0. 9.
      24    2    3    0    0    0 -5.0314341502E+00  1.3107874050E+01 -1.9909802706E+01  8.3631949962E+01  8.0004819348E+01 0. 9.
       5    1    3    0  101    0  6.7341416320E+01  5.1390920534E+01 -1.6774536919E+02  1.8798255757E+02  4.8000000000E+00 0. 9.
     -24    2    4    0    0    0 -6.6838011783E+01  5.2559343110E+00 -1.0359637958E+02  1.4740220416E+02  8.0624160559E+01 0. 9.
      -5    1    4    0    0  103  4.5280296134E+00 -6.9754728895E+01 -2.3062682680E+02  2.4103526401E+02  4.8000000000E+00 0. 9.
      -3    1    5    0    0  104  1.6136097343E+01 -2.1302209219E+01  1.4619886496E+01  3.0465535220E+01  5.0000000000E-01 0. 9.
       4    1    5    0  104    0 -2.1167531493E+01  3.4410083269E+01 -3.4529689202E+01  5.3166414742E+01  1.5000000000E+00 0. 9.
      15    1    7    0    0    0 -7.8819617270E+00  2.6572893377E+01 -7.2056390173E+01  7.7223863389E+01  1.7770000000E+00 0. 9.
     -16    1    7    0    0    0 -5.8956050056E+01 -2.1316959066E+01 -3.1539989406E+01  7.0178340774E+01  0.0000000000E+00 0. 9.
#pdf    21   21  7.0496733380E-02  6.0302569081E-01  1.9715284953E+02  1.1899451499E+00  1.4013922925E-03


    12    81  1.000000E+00  2.941093E+02  7.866684E-03  1.076351E-01
       2   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  2.7801670180E+02  2.7801670180E+02  0.0000000000E+00 0. 9.
      -2   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -4.0144404263E+02  4.0144404263E+02  0.0000000000E+00 0. 9.
       6    2    1    2  101    0  1.0145417547E+02  2.1303765852E+02  9.9406841717E+01  3.1054222786E+02  1.7571784609E+02 0. 9.
      -6    2    1    2    0  102 -1.0145417547E+02 -2.1303765852E+02 -2.2283418255E+02  3.6891851657E+02  1.7540754056E+02 0. 9.
      24    2    3    0    0    0  1.2124730118E+02  2.1395057409E+02  5.9036063367E+01  2.6531567610E+02  8.0195978754E+01 0. 9.
       5    1    3    0  101    0 -1.9793125704E+01 -9.1291556606E-01  4.0370778350E+01  4.5226551765E+01  4.8000000000E+00 0. 9.
     -24    2    4    0    0    0 -1.1612917268E+01 -1.2083200152E+02 -6.1083878688E+01  1.6213472693E+02  8.8437531634E+01 0. 9.
      -5    1    4    0    0  102 -8.9841258207E+01 -9.2205657006E+01 -1.6175030386E+02  2.0678378965E+02  4.8000000000E+00 0. 9.
      -3    1    5    0    0  103  2.0386533928E+00 -2.0469151358E+00  1.4276200881E+01  1.4574151119E+01  5.0000000000E-01 0. 9.
       4    1    5    0  103    0  1.1920864779E+02  2.1599748922E+02  4.4759862486E+01  2.5074152498E+02  1.5000000000E+00 0. 9.
       3    1    7    0  104    0 -4.1290642245E+01 -1.0957917334E+02 -3.8837517793E+01  1.2337388361E+02  5.0000000000E-01 0. 9.
      -2    1    7    0    0  104  2.9677724977E+01 -1.1252828172E+01 -2.2246360895E+01  3.8760843318E+01  3.3000000000E-01 0. 9.
#pdf     2   -2  2.8369051204E-01  4.0963677820E-01  2.9410929436E+02  3.4370177460E-01  1.8491526577E-01


    12    81  1.000000E+00  2.074995E+02  7.835729E-03  1.128029E-01
       1   -1    0    0  101    0  0.0000000000E+00  0.0000000000E+00  3.0619768292E+02  3.0619768292E+02  0.0000000000E+00 0. 9.
      -1   -1    0    0    0  102  0.0000000000E+00  0.0000000000E+00 -1.4114989914E+02  1.4114989914E+02  0.0000000000E+00 0. 9.
       6    2    1    2  101    0  1.5568203922E+01  1.1003930579E+02  9.6403368285E+01  2.2905034373E+02  1.7555464321E+02 0. 9.
      -6    2    1    2    0  102 -1.5568203922E+01 -1.1003930579E+02  6.8644415498E+01  2.1829723832E+02  1.7490171722E+02 0. 9.
      24    2    3    0    0    0  4.0864041927E+01  5.3111950384E+01  1.2677325332E+02  1.5958111938E+02  7.0028042314E+01 0. 9.
       5    1    3    0  101    0 -2.5295838004E+01  5.6927355407E+01 -3.0369885036E+01  6.9469224345E+01  4.8000000000E+00 0. 9.
     -24    2    4    0    0    0 -5.4309010344E+00 -1.4292368800E+02  2.9219659645E+01  1.6574727279E+02  7.8496462652E+01 0. 9.
      -5    1    4    0    0  102 -1.0137302888E+01  3.2884382213E+01  3.9424755853E+01  5.2549965533E+01  4.8000000000E+00 0. 9.
     -15    1    5    0    0    0 -1.2330374624E+00  5.0363448722E+01  4.5028077403E+01  6.7592032313E+01  1.7770000000E+00 0. 9.
      16    1    5    0    0    0  4.2097079389E+01  2.7485016622E+00  8.1745175918E+01  9.1989087072E+01  0.0000000000E+00 0. 9.
       1    1    7    0  103    0 -2.6431961035E+01 -1.2832656735E+01  1.5603035600E+01  3.3269945340E+01  3.3000000000E-01 0. 9.
      -2    1    7    0    0  103  2.1001060000E+01 -1.3009103127E+02  1.3616624044E+01  1.3247732745E+02  3.3000000000E-01 0. 9.
#pdf     1   -1  3.1244661522E-01  1.4403050932E-01  2.0749949280E+02  1.1657456653E-01  2.7777719886E-01


pythia8-8.1.86.orig/examples/main07.cmnd0000644000175000017500000000406612357054675016137 0ustar  sunsun! main07.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

! 1) Settings used in the main program.
Main:numberOfEvents = 1000         ! number of events to generate
Main:timesAllowErrors = 5          ! allow a few failures before quitting

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = on  ! list changed particle data
Next:numberCount = 100             ! print message every n events
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 1           ! print event record n times

! 3) Beam parameter settings. Incoming beams do not radiate.
Beams:idA = -11                    ! ficititious incoming e+
Beams:idB = 11                     ! ficititious incoming e-
PDF:lepton = off                   ! no radiation off ficititious e+e-
Beams:eCM = 500.                   ! CM energy of collision

! 4) Set up properties of the GeneralResonance and its decay channels.
! id:all = name antiName spinType chargeType colType m0 mWidth mMin mMax tau0
999999:all = GeneralResonance void 1 0 0 500. 1. 0. 0. 0.
! id:addChannel = onMode bRatio meMode product1 product2 ...
! Note: sum of branching ratios automatically rescaled to 1.
! Current channels illustrative only; insert your own decay list.
999999:addChannel = 1 0.15 101 1 -1   !  -> d dbar
999999:addChannel = 1 0.15 101 6 -6   !  -> t tbar
999999:addChannel = 1 0.15 101 15 -15 !  -> tau- tau+
999999:addChannel = 1 1.15 101 21 21  !  -> g g
999999:addChannel = 1 1.15 101 22 22  !  -> gamma gamma
999999:addChannel = 1 0.15 101 24 -24 !  -> W+ W-
999999:addChannel = 1 0.10 101 25 25  !  -> h0 h0

! 5) Tell that also long-lived should decay.
13:mayDecay   = true                 ! mu+-
211:mayDecay  = true                 ! pi+-
321:mayDecay  = true                 ! K+-
130:mayDecay  = true                 ! K0_L
2112:mayDecay = true                 ! n
pythia8-8.1.86.orig/examples/main81.cmnd0000644000175000017500000000130312357054701016116 0ustar  sunsun! main81.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// specify statistics parameters
Main:numberOfEvents      = 100  // number of events generated

// specify shower options
HadronLevel:all          = off
PartonLevel:MPI          = off
SpaceShower:MEafterFirst = off
TimeShower:MEafterFirst  = off

Merging:doKTMerging      = on
Merging:ktType           = 2
Merging:Process          = pp>e+ve
Merging:TMS              = 30.
Merging:nJetMax          = 2

Tune:pp                        = 5
SpaceShower:rapidityOrder      = off

// specify PDF set
PDF:useLHAPDF            = on
PDF:LHAPDFset            = cteq6ll.LHpdf




pythia8-8.1.86.orig/examples/main31.cmnd0000644000175000017500000000612512357054677016134 0ustar  sunsun! main31.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The settings here are illustrative, not always physics-motivated.
! You should carefully consider what changes need be done for the
! process you study currently, and consider some of the options
! as reasonable measures of uncertainties in the matching process.

! Number of events - use 0 for all LHEF events in the input file.
Main:numberOfEvents = 0

! Number of events to list and number of errors to allow.
Next:numberShowLHA = 1
Next:numberShowInfo = 1
Next:numberShowProcess = 1
Next:numberShowEvent = 1
Main:timesAllowErrors = 10

! List changed settings or particle data.
Init:showChangedSettings = on
Init:showChangedParticleData = off

! Input file.
Beams:frameType = 4
! t tbar pair production.
#Beams:LHEF = powheg-hvq.lhe
! QCD 2- and 3-jet events.
Beams:LHEF = powheg-dijets.lhe

! Number of outgoing particles of POWHEG Born level process
! (i.e. not counting additional POWHEG radiation)
POWHEG:nFinal = 2

! How vetoing is performed:
!  0 - No vetoing is performed (userhooks are not loaded)
!  1 - Showers are started at the kinematical limit.
!      Emissions are vetoed if pTemt > pThard.
!      See also POWHEG:vetoCount below
POWHEG:veto = 1

! After 'vetoCount' accepted emissions in a row, no more emissions
! are checked. 'vetoCount = 0' means all emissions are checked.
POWHEG:vetoCount = 3

! Selection of pThard (note, for events where there is no
! radiation, pThard is always set to be SCALUP):
!  0 - pThard = SCALUP (of the LHA/LHEF standard)
!  1 - the pT of the POWHEG emission is tested against all other
!      incoming and outgoing partons, with the minimal value chosen
!  2 - the pT of all final-state partons is tested against all other
!      incoming and outgoing partons, with the minimal value chosen
POWHEG:pThard = 2

! Selection of pTemt:
!  0 - pTemt is pT of the emitted parton w.r.t. radiating parton
!  1 - pT of the emission is checked against all incoming and outgoing
!      partons. pTemt is set to the minimum of these values
!  2 - the pT of all final-state partons is tested against all other
!      incoming and outgoing partons, with the minimal value chosen
! WARNING: the choice here can give significant variations in the final
! distributions, notably in the tail to large pT values.
POWHEG:pTemt = 0

! Selection of emitted parton for FSR
!  0 - Pythia definition of emitted
!  1 - Pythia definition of radiator
!  2 - Random selection of emitted or radiator
!  3 - Both are emitted and radiator are tried
POWHEG:emitted = 0

! pT definitions
!  0 - POWHEG ISR pT definition is used for both ISR and FSR
!  1 - POWHEG ISR pT and FSR d_ij definitions
!  2 - Pythia definitions
POWHEG:pTdef = 1

! MPI vetoing
!  0 - No MPI vetoing is done
!  1 - When there is no radiation, MPIs with a scale above pT_1 are vetoed,
!      else MPIs with a scale above (pT_1 + pT_2 + pT_3) / 2 are vetoed
POWHEG:MPIveto = 0

! Further options (optional, for tryout)
!PartonLevel:MPI = off
!HadronLevel:All = off
pythia8-8.1.86.orig/examples/w_production_powheg_1.lhe0000644000175000017500000067534412357054722021206 0ustar  sunsun


     2212     2212  3.50000E+03  3.50000E+03     -1     -1     -1     -1      3      1
  7.01866E+03  2.61866E+01  1.00000E+00    666


      7    666  1.00000E+00  2.44640E+00 -1.00000E+00  3.26456E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  6.223165355E+01  6.223165355E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.250432853E+01  3.250432853E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.470977685E+00 -6.183760623E+00  3.129024099E+01  8.696813904E+01  8.083372715E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.749826076E+01  2.502736253E+01  8.566554374E-01  3.719216421E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.402728307E+01 -3.121112315E+01  3.043358556E+01  4.977597483E+01  1.066240300E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   502 -1.277084208E+00  3.126176245E+00 -2.084678738E+00  3.968602705E+00  9.424321831E-08  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -2.193893477E+00  3.057584378E+00  5.217627629E-01  3.799240345E+00  5.424104548E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.72759E+00 -1.00000E+00  2.17946E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.455170726E+00  2.455170726E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.620426230E+02  8.620426230E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.189603352E+00 -5.223385305E+00 -6.989949778E+02  7.037240704E+02  8.127047060E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.222489643E+01  2.436453538E+01 -1.574729072E+02  1.608890709E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.341449979E+01 -2.958792069E+01 -5.415220705E+02  5.428349995E+02  7.629394531E-06  0.00000E+00  9.000E+00
       2     1     1     2   501     0 -2.570873649E+00  4.826036339E-01 -6.705684956E+01  6.710784880E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   502  1.381270297E+00  4.740781672E+00 -9.353562492E+01  9.366587451E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.95360E+00 -1.00000E+00  2.64561E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  8.631520551E+00  8.631520551E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.539027583E+02  2.539027583E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.158484953E+00  1.258041492E+01 -2.123560952E+02  2.271417446E+02  7.956141087E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.565061313E+01  1.038155708E+01 -1.859571346E+02  1.880047515E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.880909808E+01  2.198857843E+00 -2.639896066E+01  3.913699314E+01  9.536743164E-07  0.00000E+00  9.000E+00
       1     1     1     2   501     0  5.645690437E-02 -7.484150130E-01 -2.489573169E+00  2.600247484E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502  3.102028049E+00 -1.183199991E+01 -3.042556933E+01  3.279228673E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.90710E+01 -1.00000E+00  1.68049E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  2.760693647E+02  2.760693647E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.555745415E+02  2.555745415E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.893336306E+01  5.098046138E+01 -9.791467132E+01  1.378411796E+02  8.034567969E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.308973930E+01 -2.060950513E+01 -3.281893467E+01  4.090446736E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -5.843623759E+00  7.158996651E+01 -6.509573666E+01  9.693671221E+01  9.536743164E-07  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -1.294000658E-01 -5.154229542E+01 -1.324987106E+02  1.421707891E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.906276312E+01  5.618340349E-01  2.509082051E+02  2.516319375E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.78890E+01 -1.00000E+00  1.70424E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.625327232E+02  1.625327232E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -8.220510620E+01  8.220510620E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.089312425E+01  7.522861933E+00  1.486178949E+02  1.704737968E+02  8.050416520E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.116295438E+01 -1.827588203E+01  2.552227703E+01  3.785848818E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.205607863E+01  2.579874396E+01  1.230956179E+02  1.326153086E+02  0.000000000E+00  0.00000E+00  9.000E+00
       4     1     1     2   501     0 -1.920401925E+01 -8.308573445E+00 -3.399708177E+01  3.992027451E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   502 -1.689105001E+00  7.857115124E-01 -3.429319614E+01  3.434375809E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.96361E+01 -1.00000E+00  1.23876E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.403855858E+02  3.403855858E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00 -3.797106818E+02  3.797106818E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.186595295E+01 -7.443773390E+00  1.014694765E+02  1.309465077E+02  7.948209589E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.376971372E+01 -4.288007659E+01  6.782874266E+01  8.141894322E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -8.096239232E+00  3.543630320E+01  3.364073384E+01  4.952756452E+01  1.719260824E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.206990217E+02 -5.180966609E+00  2.002383574E+02  2.338599924E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -9.883306873E+01  1.262474000E+01 -3.410329300E+02  3.552897674E+02  5.394796609E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.06342E+00 -1.00000E+00  2.00766E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.406806163E+01  5.406806163E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   502  0.000000000E+00  0.000000000E+00 -1.469867457E+02  1.469867457E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.396912032E-01  4.845919564E+00 -6.785889815E+01  1.051018491E+02  8.011223562E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.341172386E+01  1.150370963E+01  6.565863098E+00  2.689897224E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.307203265E+01 -6.657790068E+00 -7.442476125E+01  7.820287684E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502  6.935818087E+00 -1.106175838E+01  3.388607512E+01  3.631437950E+01  8.259061849E-07  0.00000E+00  9.000E+00
       4     1     1     2   512     0 -6.596126883E+00  6.215838815E+00 -5.894586108E+01  5.963857880E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.24106E+00 -1.00000E+00  2.57519E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.823399617E+01  2.823399617E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -6.123933088E+01  6.123933088E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.843969547E+00 -1.871619550E+00 -2.047848502E+01  7.581306599E+01  7.280992807E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.911813977E+00 -2.895037484E+01 -3.439888376E+01  4.534707215E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.067844429E+00  2.707875529E+01  1.392039875E+01  3.046599385E+01  5.591411304E-07  0.00000E+00  9.000E+00
       4     1     1     2   501     0 -7.717814233E-01  6.868489375E-01 -1.309727852E+00  1.668171177E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   502 -4.072188124E+00  1.184770613E+00 -1.121712184E+01  1.199208989E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.53723E+00 -1.00000E+00  3.20684E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.951750743E+02  1.951750743E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -2.807312217E+01  2.807312217E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.841193548E+00 -1.146202833E+01  8.130442626E+01  1.152472451E+02  8.072609574E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.066908094E+01 -1.695035402E+01  6.878569961E+01  7.719701741E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.551027448E+01  5.488325688E+00  1.251872666E+01  3.805022773E+01  1.039242493E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  4.778833884E+00  8.925559890E+00  9.648586435E+01  9.701559098E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   511  6.235966372E-02  2.536468442E+00 -1.068833853E+01  1.098536032E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.72953E+00 -1.00000E+00  2.02773E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.551856054E+01  8.551856054E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.249283153E+01  3.249283153E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.770108019E+00 -1.524350739E+00  3.511221674E+01  9.500992267E+01  8.822709617E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.660028427E+00 -4.101249330E+01  3.453962547E+01  5.416351512E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.043013645E+01  3.948814256E+01  5.725912686E-01  4.084640755E+01  2.558273779E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -7.306834887E+00  1.756357598E+00  1.667937138E+01  1.829415365E+01  2.384185791E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.536726868E+00 -2.320068587E-01  1.234140895E+00  4.707315754E+00  1.737759082E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.41388E+01 -1.00000E+00  1.79788E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  6.855889280E+00  6.855889280E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.120558445E+02  6.120558445E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  9.304006610E+00  2.165355928E+00 -5.187776998E+02  5.262196055E+02  8.766708662E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  4.526100718E+01  1.361496121E+01 -3.560731053E+02  3.591963005E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.595700057E+01 -1.144960528E+01 -1.627045945E+02  1.670233050E+02  1.907348633E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -1.643527925E+01  1.004330237E+01 -4.605695031E+01  4.992222950E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.131272636E+00 -1.220865830E+01 -4.036530514E+01  4.276989883E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.04304E+00 -1.00000E+00  2.15107E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.499647550E+01  3.499647550E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -8.379925143E+01  8.379925143E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.635350313E+00  8.251752208E+00 -1.756140033E+01  8.380390490E+01  8.133168575E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.350610377E+01  6.524188166E+00 -8.118254763E+00  4.473535690E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.787075346E+01  1.727564043E+00 -9.443145566E+00  3.906854800E+01  4.298152060E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  4.400830202E+00 -1.144830849E+01 -2.298662729E+01  2.605409963E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  1.234520111E+00  3.196556282E+00 -8.254748315E+00  8.937722401E+00  1.192092896E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.21273E+01 -1.00000E+00  1.86495E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.896470014E+01  3.896470014E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -5.375690063E+01  5.375690063E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.250531797E+00 -3.604257256E-01 -1.007243313E+01  8.149307008E+01  8.083607958E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.164672723E+01 -9.756566688E+00  3.304715652E+01  3.637239892E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  9.396195437E+00  9.396140962E+00 -4.311958966E+01  4.512067116E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4     1     1     2   511     0  2.269567520E-01  3.746806849E+00  1.350321549E+00  3.989165228E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  2.023575045E+00 -3.386381124E+00 -6.070088908E+00  7.239365471E+00  4.539354507E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.66270E+00 -1.00000E+00  2.72707E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.474186931E+02  5.474186931E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00 -3.528371745E+01  3.528371745E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.579960637E-01 -5.679939374E+00  5.398800802E+02  5.461103533E+02  8.205596052E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.352630597E+01 -2.548479892E+01  1.139240575E+02  1.190867454E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.276830990E+01  1.980485955E+01  4.259560227E+02  4.270236079E+02  1.206313194E-05  0.00000E+00  9.000E+00
       1     1     1     2   502     0  4.134163217E+00  4.259777600E+00  2.269256104E+00  6.355040045E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -3.376167153E+00  1.420161774E+00 -3.001436068E+01  3.023701723E+01  1.066240300E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.05260E+01 -1.00000E+00  1.44458E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  1.053574956E+01  1.053574956E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.428292038E+02  6.428292038E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.205293891E+01  4.452935198E+00 -3.592213373E+02  3.692400920E+02  7.906362543E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.794990624E+01 -3.607183494E+00 -2.314330282E+02  2.386052178E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.589696733E+01  8.060118693E+00 -1.277883091E+02  1.306348742E+02  3.015782986E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0 -1.368698313E+01  3.167247212E+01 -1.680374190E+02  1.715431525E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.836595578E+01 -3.612540732E+01 -1.050346979E+02  1.125817088E+02  1.907348633E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.37705E+00 -1.00000E+00  2.81965E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  5.048731121E+00  5.048731121E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.287362438E+02  9.287362438E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  6.637120537E+00  8.708039991E+00 -3.264087806E+02  3.364046875E+02  8.065693045E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -9.955633359E+00  6.260284018E-01 -3.140142799E+02  3.141726827E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.659275390E+01  8.082011589E+00 -1.239450064E+01  2.223200484E+01  1.066240300E-06  0.00000E+00  9.000E+00
       3     1     1     2   501     0 -7.034216976E-01 -6.071162657E-01 -6.753210785E+01  6.753850001E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   502 -5.933698839E+00 -8.100923725E+00 -5.297466242E+02  5.298417874E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.29433E+02 -1.00000E+00  1.00751E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.333958965E+02  1.333958965E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.534414242E+02  4.534414242E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.298941462E+00  1.085558408E+01  1.155190123E+02  1.407549509E+02  7.967297563E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.624672459E+01  9.532010339E+00  1.208972135E+02  1.223558397E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.754566605E+01  1.323573738E+00 -5.378201197E+00  1.839911119E+01  8.215933294E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  7.505438721E+00 -5.232731830E+00  1.169036887E+00  9.223867954E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -8.804380183E+00 -5.622852247E+00 -4.367335768E+02  4.368585019E+02  3.003695631E-05  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.38166E+00 -1.00000E+00  2.21316E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.385849687E+02  1.385849687E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -2.786124876E+01  2.786124876E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.726505378E-01  5.227457849E+00  1.172847946E+02  1.417731454E+02  7.947601227E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.142248569E+01 -2.860065317E+01  7.672152027E+01  8.463516956E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.179513622E+01  3.382811102E+01  4.056327436E+01  5.713797586E+01  4.768371582E-07  0.00000E+00  9.000E+00
       2     1     1     2   502     0  3.449698468E+00 -1.081828889E+01  4.245629979E+00  1.212275414E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502 -3.077047930E+00  5.590831039E+00 -1.080670462E+01  1.255031794E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.72992E+00 -1.00000E+00  2.47325E-01
      21    -1     0     0   512   501  0.000000000E+00  0.000000000E+00  2.831421849E+02  2.831421849E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.037719741E+01  8.037719741E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.636681885E+01  1.520926657E+01 -3.791587743E+01  1.105329059E+02  7.838388289E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.689663088E+01  1.068427329E+01 -5.458774829E+01  5.813322711E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -4.947018797E+01  4.524993278E+00  1.667187086E+01  5.239967882E+01  2.105655877E-06  0.00000E+00  9.000E+00
       4     1     1     2   502     0  7.091244774E+01 -1.651671343E+01  2.311541309E+02  2.423501791E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   502 -4.545628896E+00  1.307446862E+00  9.526734022E+00  1.063629731E+01  2.064765462E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.48586E+01 -1.00000E+00  1.36788E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.902267211E+02  6.902267211E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -9.886103896E+00  9.886103896E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.065665038E+00  6.135522827E+00  6.726615619E+02  6.780297982E+02  8.487512838E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.122263834E+01  6.359704615E+00  1.064032354E+02  1.110718123E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.815697330E+01 -2.241817881E-01  5.662583265E+02  5.669579859E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0  5.264085377E+00 -1.755955588E+00  1.082145954E+01  1.216133058E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -8.329750415E+00 -4.379567239E+00 -3.142404262E+00  9.921696212E+00  1.878728570E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.96666E+00 -1.00000E+00  2.98208E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  6.053790920E+00  6.053790920E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -3.353651848E+02  3.353651848E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.029068437E+00  6.502454904E+00 -3.113219438E+02  3.216441322E+02  8.056211385E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.989910719E+00  4.225606913E+01 -1.270725855E+02  1.339475902E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.960842282E+00 -3.575361423E+01 -1.842493583E+02  1.876965420E+02  4.672030912E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -1.477082840E+00 -4.914911961E+00 -9.760992590E+00  1.102792409E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  2.506151277E+00 -1.587542943E+00 -8.228457470E+00  8.746919409E+00  2.064765462E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.37006E+01 -1.00000E+00  1.81123E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.541461959E+02  3.541461959E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00 -3.935190968E+01  3.935190968E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.399538500E+00 -5.127895802E+00  3.277738363E+02  3.371852176E+02  7.875743042E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.513272211E+01 -1.116753250E+01  2.640057420E+02  2.665671655E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.973318361E+01  6.039636702E+00  6.376809440E+01  7.061805210E+01  1.507891493E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0  7.089734436E+00 -5.045520114E-01  1.966489595E+01  2.090997465E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -1.248927294E+01  5.632447813E+00 -3.264444612E+01  3.540291329E+01  6.743495762E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.29762E+01 -1.00000E+00  1.83475E-01
      -5    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.174137258E+01  1.174137258E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.032787658E+02  5.032787658E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.985684863E+01 -6.689070576E+00 -4.765952957E+02  4.836527548E+02  7.961076122E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.955842327E+01 -5.544013786E+00 -1.192382751E+02  1.257512274E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.970157464E+01 -1.145056791E+00 -3.573570206E+02  3.579015274E+02  5.394796609E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.293986833E+01 -4.289817768E+00 -1.176688313E+01  1.800839436E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -5     1     1     2     0   502  6.916980301E+00  1.097888834E+01 -3.175214438E+00  1.335898920E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.01524E+01 -1.00000E+00  1.38971E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.046672716E+02  8.046672716E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.303979056E+01  1.303979056E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.305771585E+01 -7.871745222E+00  7.951426510E+02  7.993010676E+02  7.998683007E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.757949740E+00  3.183096269E+01  2.131830834E+02  2.156522829E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.981566559E+01 -3.970270791E+01  5.819595676E+02  5.836487848E+02  7.629394531E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -9.317877791E-01  1.350859974E+00  1.452593258E+00  2.191592642E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  1.398950363E+01  6.520885248E+00 -4.967763233E+00  1.621440186E+01  4.283662703E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.28922E+00 -1.00000E+00  2.56423E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.966415262E+01  1.966415262E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00 -1.783601692E+02  1.783601692E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.484488645E+01  4.580045990E+00 -6.787390427E+01  1.050840591E+02  7.870479731E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.470230691E+00  1.975059214E+01  1.142650937E+01  2.400948465E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -7.374655760E+00 -1.517054615E+01 -7.930041364E+01  8.107457445E+01  9.536743164E-07  0.00000E+00  9.000E+00
       4     1     1     2   502     0  1.125225373E+01 -6.923207059E+00 -8.276274648E+01  8.381059727E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512  3.592632721E+00  2.343161069E+00 -8.059365839E+00  9.129665458E+00  1.685873940E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.20865E+01 -1.00000E+00  1.86648E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  1.177853374E+02  1.177853374E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.488608850E+01  9.488608850E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.491114828E+00  3.384140804E+01  2.885605563E+01  8.991174240E+01  7.801306598E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.093331331E+01 -8.926697794E+00  5.302748973E-01  3.219995338E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.644219849E+01  4.276810584E+01  2.832578073E+01  5.771178902E+01  1.118282261E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  1.568465911E+01 -2.928192124E+01 -5.935102027E+01  6.801457968E+01  1.907348633E-06  0.00000E+00  9.000E+00
       4     1     1     2   511     0 -1.119354428E+01 -4.559486799E+00  5.339421350E+01  5.474510379E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.08658E+00 -1.00000E+00  2.93033E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  2.652214364E+00  2.652214364E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.560795608E+03  1.560795608E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.524203406E+01 -2.468560263E+01 -8.863634287E+02  8.907009917E+02  8.038401281E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.457015487E+01 -5.180532542E+01 -7.039793290E+02  7.063103991E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  6.718791840E-01  2.711972279E+01 -1.823840997E+02  1.843905926E+02  3.814697266E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -2.092070768E+01  2.057201030E+01 -6.010323715E+02  6.017481161E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -4.321326382E+00  4.113592333E+00 -7.074759353E+01  7.099871473E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.16487E+00 -1.00000E+00  2.35994E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.225941434E+03  1.225941434E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.646230883E+00  3.646230883E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.968444049E+00  5.810928358E+00  4.629024218E+02  4.700247826E+02  8.121039765E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.386556355E+01 -1.593981995E+01  4.229058619E+02  4.234332293E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  9.897119496E+00  2.175074831E+01  3.999656001E+01  4.659155330E+01  2.023048729E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.015057075E-01 -3.996546815E+00  6.968862492E+02  6.968977163E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502  4.069949756E+00 -1.814381543E+00  6.250653240E+01  6.266516627E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.34116E+01 -1.00000E+00  1.82039E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.126603880E+02  3.126603880E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -7.650016578E+00  7.650016578E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.292250107E+00 -4.704437517E+00  2.068669335E+02  2.216035602E+02  7.888800015E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -8.068495461E+00 -3.765783725E+01  6.162069574E+01  7.266583426E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.237546465E-01  3.295339973E+01  1.452462378E+02  1.489377259E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502  4.246565111E-01  1.536282490E+00  7.501929111E+00  7.669383119E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.867593596E+00  3.168155027E+00  9.064150881E+01  9.103746127E+01  1.907348633E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.90799E+01 -1.00000E+00  1.53950E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  2.415242596E+02  2.415242596E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.603770155E+01  4.603770155E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.620447254E+01 -1.141615782E+00  2.118771469E+00  8.169326353E+01  8.003381721E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.648474490E+01 -3.046908607E+01  2.081982008E+01  4.542325205E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.028027236E+01  2.932747029E+01 -1.870104861E+01  3.627001148E+01  1.430511475E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -4.132044405E-01 -2.272243750E+01  1.600068046E+02  1.616126772E+02  4.264961200E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.661767698E+01  2.386405328E+01  3.336098196E+01  4.425602043E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.91142E+01 -1.00000E+00  1.26098E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  8.836784315E+00  8.836784315E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.074992565E+02  6.074992565E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.259573926E+00  2.672590005E+00 -5.825757954E+02  5.880628143E+02  7.998768360E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.399490563E+01  2.769915308E+01 -1.538687178E+02  1.581726300E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.973533171E+01 -2.502656307E+01 -4.287070776E+02  4.298901843E+02  9.344061824E-06  0.00000E+00  9.000E+00
       1     1     1     2   512     0  2.505809081E+00  5.848601776E-01 -2.153466102E+01  2.168784834E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  1.753764845E+00 -3.257450182E+00  5.447984233E+00  6.585378123E+00  1.234550189E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.26659E+00 -1.00000E+00  2.85953E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.058981377E+01  3.058981377E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.484834644E+02  1.484834644E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.577672165E+00  4.068950148E+00 -2.329899990E+01  8.380086453E+01  8.037845541E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.604092706E+01 -6.906859808E+00 -2.528355161E+01  4.456356267E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.761859923E+01  1.097580996E+01  1.984551700E+00  3.923730186E+01  8.161702119E-07  0.00000E+00  9.000E+00
       3     1     1     2   502     0  9.541745044E-01 -6.133018294E+00 -3.222613789E+01  3.281841443E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -2.531846670E+00  2.064068146E+00 -6.236851286E+01  6.245399925E+01  6.743495762E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.57505E+00 -1.00000E+00  3.18404E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.085669447E+01  4.085669447E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00 -1.002993063E+02  1.002993063E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.930898821E-01  9.916527666E+00 -8.704832159E+00  8.829278200E+01  8.729762161E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -9.584345859E+00  1.279599532E+01 -4.660971691E+01  4.927537815E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  8.791255977E+00 -2.879467653E+00  3.790488475E+01  3.901740385E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -2.662228675E-01 -7.569460566E+00 -1.305882042E+01  1.509637038E+01  4.768371582E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.059312750E+00 -2.347067100E+00 -3.767895924E+01  3.776684838E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.38304E+01 -1.00000E+00  1.49468E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.134772868E+01  7.134772868E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -4.190916048E+02  4.190916048E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.632563699E+01 -2.110511158E+01  2.187483603E+00  9.334563118E+01  7.821209241E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.375943164E+01  1.664870167E+01 -4.523622473E+00  2.206726958E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.008506863E+01 -3.775381325E+01  6.711106076E+00  7.127836160E+01  4.380028980E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.313403805E+01  2.764847347E+01  1.251703887E+01  3.306988513E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502  3.319159894E+01 -6.543361882E+00 -3.624483986E+02  3.640238172E+02  5.394796609E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.75453E+00 -1.00000E+00  3.08439E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.165644978E+02  4.165644978E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00 -2.154557759E+01  2.154557759E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.968147928E+00 -5.464931835E+00  3.586094630E+02  3.676390122E+02  8.069748856E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.540688735E+01  1.978964878E+01  3.619643373E+01  4.403616913E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.143873942E+01 -2.525458061E+01  3.224130292E+02  3.236028431E+02  3.814697266E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -5.662033992E+00  3.292787989E+00  5.312643014E+01  5.352867140E+01  6.743495762E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.693886064E+00  2.172143846E+00 -1.671697288E+01  1.694239184E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.62003E+01 -1.00000E+00  1.74245E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.265363164E+02  1.265363164E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -4.229513402E+01  4.229513402E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.983930482E+01 -1.952470748E+01  2.817059398E+01  9.260911830E+01  8.371412192E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.303825561E+01 -9.611358036E+00 -2.952387950E+01  3.367541795E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  6.801049213E+00 -9.913349446E+00  5.769447348E+01  5.893370036E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -7.793394824E+00  8.692143486E+00  5.866528536E+01  5.981560054E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -1.204591000E+01  1.083256400E+01 -2.594696924E+00  1.640673162E+01  2.457562462E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.28476E+01 -1.00000E+00  1.83913E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  4.508877553E+01  4.508877553E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -9.396994806E+01  9.396994806E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.285807905E-01 -9.392153638E+00  3.472818170E-02  7.712407106E+01  7.654969845E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.813582876E-01 -2.088848109E+01  3.475292626E+01  4.054841167E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  5.099390781E-01  1.149632746E+01 -3.471819808E+01  3.657565940E+01  4.768371582E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   501  8.211450300E+00 -2.942066940E-01  2.773767035E+00  8.672269436E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502 -8.440031090E+00  9.686360332E+00 -5.168966774E+01  5.326238309E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.03430E+00 -1.00000E+00  3.59450E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.315299009E+01  3.315299009E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -1.485561014E+02  1.485561014E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.489031435E+00  4.883408785E+00 -1.668464245E+01  8.237117972E+01  8.050198171E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -7.453628528E-01  1.729622634E+01  2.965900392E+01  3.434197906E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.234394288E+00 -1.241281756E+01 -4.634364638E+01  4.802920067E+01  1.168007728E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -2.276605418E+00 -6.759065923E+00 -9.291305538E+01  9.318639259E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502  7.875739831E-01  1.875657138E+00 -5.805413529E+00  6.151519221E+00  1.192092896E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.02970E+00 -1.00000E+00  2.00963E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.334859351E+02  3.334859351E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   502  0.000000000E+00  0.000000000E+00 -2.023351793E+01  2.023351793E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.373942642E+00  7.557776694E+00  3.238062634E+02  3.336803092E+02  8.020626398E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.030277208E+01  3.342899688E+01  2.523495485E+02  2.553624777E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.892882944E+01 -2.587122019E+01  7.145671496E+01  7.831783150E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -7.542529250E+00 -9.635343619E-01 -2.691334733E+00  8.066066488E+00  6.454112478E-07  0.00000E+00  9.000E+00
       4     1     1     2   512     0  6.168586608E+00 -6.594242332E+00 -7.862511566E+00  1.197307733E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.86050E+00 -1.00000E+00  3.03142E-01
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  6.458875318E+01  6.458875318E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   512  0.000000000E+00  0.000000000E+00 -9.592645493E+01  9.592645493E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  8.774590615E+00 -7.838877326E+00  3.096985897E+01  8.714871051E+01  8.060598081E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.833068650E+01 -3.120297802E+01 -4.854542968E+00  3.651310029E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.710527712E+01  2.336410070E+01  3.582440193E+01  5.063561023E+01  1.168007728E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -1.155985308E+01  8.490612176E+00 -3.865836843E+00  1.485481043E+01  8.820681922E-07  0.00000E+00  9.000E+00
      -3     1     1     2     0   512  2.785262469E+00 -6.517348507E-01 -5.844172388E+01  5.851168717E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.54044E+00 -1.00000E+00  2.19734E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  1.687411551E+02  1.687411551E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.973161490E+01  1.973161490E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.152440037E+01 -5.884793688E+00  1.357992345E+02  1.578561887E+02  7.943363028E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.819042324E+01  1.782052721E+01  4.565528739E+01  5.653915828E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.971482360E+01 -2.370532089E+01  9.014394715E+01  1.013170305E+02  9.536743164E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0 -1.805295436E+01  6.278934135E+00  1.444815032E+01  2.396003386E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  6.528553997E+00 -3.941404471E-01 -1.237844651E+00  6.656547406E+00  8.560065398E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.04337E+00 -1.00000E+00  2.94852E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  3.460704370E+00  3.460704370E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.290283635E+02  8.290283635E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.988106634E-01 -6.597109314E+00 -6.861378180E+02  6.911410967E+02  8.274798732E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.423798426E+01  1.431776504E+01 -4.630029402E+02  4.644878477E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.383917360E+01 -2.091487435E+01 -2.231348778E+02  2.266532491E+02  4.672030912E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -2.538595824E+00  5.801045036E+00 -1.377036063E+02  1.378491196E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.937406487E+00  7.960642782E-01 -1.726234825E+00  3.498851508E+00  1.490116119E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.76115E+01 -1.00000E+00  1.71015E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.337405633E+02  5.337405633E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.793782831E+00  4.793782831E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.020519484E+01  5.678266811E+00  4.361964984E+02  4.441850956E+02  8.304592217E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.327577059E+01  2.419495131E+01  9.322455166E+01  9.908569119E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.348096543E+01 -1.851668450E+01  3.429719468E+02  3.450994044E+02  5.394796609E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.830402589E+00 -9.445713451E-01  1.392325800E+00  2.486193837E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -8.374792248E+00 -4.733695466E+00  9.135795623E+01  9.186305669E+01  1.907348633E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.02148E+01 -1.00000E+00  1.94638E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.206322748E+02  4.206322748E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -5.900858526E+00  5.900858526E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.399063134E+01 -9.642814183E+00  3.141001910E+02  3.240196458E+02  7.772437977E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.389858194E+01  9.675319260E+00  2.098503782E+02  2.114283218E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.788921328E+01 -1.931813344E+01  1.042498128E+02  1.125913240E+02  1.348699152E-06  0.00000E+00  9.000E+00
       2     1     1     2   512     0 -4.689574766E+00  5.241672603E+00  6.633762087E+01  6.670942352E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -9.301056576E+00  4.401141580E+00  3.429360439E+01  3.580406405E+01  4.768371582E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.37873E+01 -1.00000E+00  1.80854E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  2.678368108E+02  2.678368108E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.430003823E+01  1.430003823E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.965342780E+00  6.634322338E+00  1.021562955E+02  1.286126564E+02  7.779780953E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.957680510E+01  3.621238726E+01  3.791949849E+01  5.596853272E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.661146232E+01 -2.957806492E+01  6.423679706E+01  7.264412366E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -8.850484642E+00  4.702997167E-01  9.770886114E+01  9.811000870E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.181582742E+01 -7.104622055E+00  5.367161586E+01  5.541418393E+01  6.743495762E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.94988E+00 -1.00000E+00  2.25960E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  7.888435236E+00  7.888435236E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.247483035E+02  3.247483035E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  8.553684567E+00 -8.136810918E+00 -2.491768032E+02  2.633148178E+02  8.429852177E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.834878597E+01 -3.572272210E+01 -1.869026998E+02  1.923860331E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.979510140E+01  2.758591119E+01 -6.227410347E+01  7.092878470E+01  6.743495762E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0 -5.790790175E+00  5.387688082E+00 -6.154348315E+01  6.204966360E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -2.762894392E+00  2.749122836E+00 -6.139581905E+00  7.272257404E+00  2.384185791E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.09633E+01 -1.00000E+00  1.52058E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  7.588881947E+01  7.588881947E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.109823510E+02  2.109823510E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -5.633228227E+01 -5.380912429E+01 -1.635906645E+02  1.980517222E+02  7.996143613E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.897690125E+01 -6.621390733E+01 -1.261390356E+02  1.437200772E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.735538103E+01  1.240478305E+01 -3.745162892E+01  5.433164495E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502  3.994746694E+01  3.183516424E+01  2.658114409E+00  5.115020400E+01  1.555726902E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.638481534E+01  2.197396005E+01  2.583901848E+01  3.766924435E+01  1.581489940E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.99803E+01 -1.00000E+00  1.66363E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  6.941132410E+01  6.941132410E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.450834746E+02  1.450834746E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.662902210E+00 -1.843546429E+00  3.092398084E+01  8.560687927E+01  7.978772638E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.032657746E+01 -8.043069417E+00  5.644963053E+01  5.794730325E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -8.663675252E+00  6.199522989E+00 -2.552564968E+01  2.765957602E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -1.109488116E+01 -1.577036768E+01  1.138954225E+00  1.931574750E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   502  9.431978953E+00  1.761391411E+01 -1.077350855E+02  1.095721719E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.32178E+01 -1.00000E+00  1.49995E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  1.096985489E+02  1.096985489E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.314216935E+02  7.314216935E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.391405562E+01 -1.358377018E+01 -6.132913924E+02  6.195775882E+02  8.009602906E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.038835380E+01 -4.544005505E+01 -4.358628956E+02  4.392774913E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.525701824E+00  3.185628487E+01 -1.774284969E+02  1.803000970E+02  4.264961200E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  3.615136742E+00  2.719993179E+01 -1.106817486E+02  1.140322541E+02  3.303624740E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  3.029891888E+01 -1.361616161E+01  1.022499964E+02  1.075104000E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.07027E+00 -1.00000E+00  2.14871E-01
       2    -1     0     0   502     0  0.000000000E+00  0.000000000E+00  1.374031059E+02  1.374031059E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.824290121E+02  6.824290121E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.778347083E+00  5.299181165E+00 -6.774804480E+02  6.833235586E+02  8.882487098E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.928794346E+01 -3.438736921E+01 -2.264086731E+02  2.298160203E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.506629054E+01  3.968655037E+01 -4.510717749E+02  4.535075384E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.184511015E+00 -6.526900906E+00  3.770065300E+00  7.629999616E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   501     0 -6.962858098E+00  1.227719741E+00  1.286844765E+02  1.288785598E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.89603E+02 -1.00000E+00  1.12480E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.276409750E+02  1.276409750E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -9.741042639E+01  9.741042639E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.498707828E+00  4.817848919E+00  1.122455715E+02  1.386841193E+02  8.123277670E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.993524021E+01 -1.123686378E+01 -1.219061711E+00  2.291652290E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.643653238E+01  1.605471270E+01  1.134646332E+02  1.157675964E+02  1.348699152E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  6.008017248E-01  2.302440860E-01  2.025596940E+00  2.125327743E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  2.897906103E+00 -5.048093005E+00 -8.404061977E+01  8.424195436E+01  4.473129043E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.05310E+02 -1.00000E+00  1.05329E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.744550183E+01  3.744550183E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -8.142445564E+02  8.142445564E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.511372972E-01 -4.603076361E+00 -1.196228338E+01  7.887440674E+01  7.782586113E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.382869259E+01 -1.982900989E+01 -3.182036909E+01  4.442445400E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.367755530E+01  1.522593353E+01  1.985808571E+01  3.444995275E+01  1.831327855E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  8.111491311E+00 -1.309954133E+01 -1.150129803E+01  1.922691163E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -8.262628608E+00  1.770261769E+01 -7.533354732E+02  7.535887398E+02  1.078959322E-05  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.44585E+00 -1.00000E+00  2.53006E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.664599671E+02  1.664599671E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.401803048E+01  6.401803048E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.720355869E+01 -2.892734963E+01  1.430623801E+02  1.698058462E+02  8.240361408E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  5.258994751E+00 -2.789949204E+01  1.327162093E+02  1.357189408E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.246255345E+01 -1.027857593E+00  1.034617089E+01  3.408690540E+01  1.420542632E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  2.346713713E+01  2.651805078E+01 -4.294006743E+01  5.565755055E+01  2.023048729E-06  0.00000E+00  9.000E+00
      21     1     1     2   502   511  3.736421559E+00  2.409298853E+00  2.319623935E+00  5.014600905E+00  5.161913656E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.17234E+01 -1.00000E+00  1.88046E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  8.697057704E+00  8.697057704E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -4.404627811E+02  4.404627811E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.438998923E+01 -1.261799509E-01 -2.476176398E+02  2.608351553E+02  8.070560695E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.854113132E+01 -1.803031654E+01 -1.310779235E+02  1.353554968E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.293112054E+01  1.790413659E+01 -1.165397164E+02  1.254796585E+02  1.348699152E-06  0.00000E+00  9.000E+00
       3     1     1     2   502     0 -2.481515281E+01 -5.236069883E+00 -9.192302333E+01  9.535748767E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.042516358E+01  5.362249833E+00 -9.222506021E+01  9.296719577E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.18823E+01 -1.00000E+00  1.51192E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  1.693079086E+02  1.693079086E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.174706497E+02  1.174706497E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.566735578E+00 -2.563673048E+01  1.033102206E+02  1.335282014E+02  8.060448066E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  4.949369161E+00 -3.796730640E+01  1.111286604E+02  1.175397455E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.516104739E+00  1.233057592E+01 -7.818439816E+00  1.598845598E+01  3.153981341E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -3.027768375E+01  2.718959626E+01 -9.263838084E+01  1.011824188E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  3.184441933E+01 -1.552865782E+00  4.116541914E+01  5.206793800E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.54086E+00 -1.00000E+00  2.51035E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.235806493E+03  1.235806493E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -2.206422434E+00  2.206422434E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.953947653E+00 -2.906283191E+00  7.961859369E+02  8.004166817E+02  8.192021884E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.514537317E+01  2.285193776E+01  3.405440086E+02  3.431146020E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.919142552E+01 -2.575822095E+01  4.556419283E+02  4.573020797E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -3.711453809E+00  5.087055015E+00  4.005881524E+02  4.006376428E+02  1.078959322E-05  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -2.242493843E+00 -2.180771824E+00  3.682598098E+01  3.695859060E+01  4.768371582E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.35423E+01 -1.00000E+00  1.81621E-01
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  3.452122281E+02  3.452122281E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.629047818E+01  2.629047818E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.199768423E+00  3.216375323E+01  1.673064026E+02  1.879899014E+02  7.935127987E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.882735296E+00 -1.562932640E+01  1.965576993E+00  1.586455260E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.317033128E+00  4.779307963E+01  1.653408256E+02  1.721253488E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  6.394744019E+00 -2.372873144E+01 -6.015893391E+00  2.530091738E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.059451244E+01 -8.435021789E+00  1.576312408E+02  1.582118875E+02  1.907348633E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.70440E+00 -1.00000E+00  2.71467E-01
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00  7.949358015E+00  7.949358015E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.351103574E+02  6.351103574E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.024582575E+01  9.123094700E+00 -6.227525624E+02  6.281071203E+02  8.068204748E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.510116581E+01 -2.013566409E+01 -2.349995911E+02  2.384582660E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.485534006E+01  2.925875879E+01 -3.877529713E+02  3.896488543E+02  5.394796609E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  8.807545190E+00 -5.709304367E+00 -3.972050862E+00  1.122257531E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512  1.438280558E+00 -3.413790334E+00 -4.363861980E-01  3.730019882E+00  6.029909125E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.77383E+01 -1.00000E+00  1.70743E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.571570078E+02  6.571570078E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.920516355E+00  3.920516355E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.275421614E+00  8.822544922E+00  4.205684427E+02  4.281610514E+02  7.961409176E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.556781997E+01  2.227461941E+01  3.069865504E+02  3.098418477E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.029239835E+01 -1.345207448E+01  1.135818923E+02  1.183192037E+02  2.697398305E-06  0.00000E+00  9.000E+00
       4     1     1     2   501     0  2.903831158E-01  3.278737453E-02  7.316326014E+00  7.322159771E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   502 -5.565804730E+00 -8.855332297E+00  2.253517227E+02  2.255943130E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.33262E+01 -1.00000E+00  1.49901E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  1.798740652E+02  1.798740652E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.145360719E+02  2.145360719E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.912235379E+01  1.229691686E+02 -8.867390157E+01  1.811065556E+02  7.949625478E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.303488826E+01  4.507372515E+01 -7.643882311E+00  4.753922536E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  7.215724205E+01  7.789544344E+01 -8.103001926E+01  1.335673303E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -4.928255122E+01 -9.112876082E+01 -4.191010033E+01  1.117572253E+02  2.132480600E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -9.839802574E+00 -3.184040777E+01  9.592199525E+01  1.015463562E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.73418E+00 -1.00000E+00  3.09503E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.063409717E+03  1.063409717E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -2.125539265E+00  2.125539265E+00  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -5.064240469E+00 -1.011120929E+01  8.856176479E+02  8.893384121E+02  8.047552324E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.421303578E+00  2.238526145E+01  7.302974547E+02  7.306538306E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -6.429368911E-01 -3.249647074E+01  1.553201933E+02  1.586845815E+02  4.264961200E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.110898425E+00  1.131984403E+01  1.609811553E+02  1.614310091E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502  9.533420435E-01 -1.208634738E+00  1.468537442E+01  1.476583491E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.37689E+01 -1.00000E+00  1.49520E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.411255372E+01  3.411255372E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   502     0  0.000000000E+00  0.000000000E+00 -6.416916182E+02  6.416916182E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.754981141E+00  1.594590264E+01 -2.750057918E+01  8.626164447E+01  8.017130211E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.621283080E+01  2.011783508E+01 -2.407143301E+01  4.791169262E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.796781194E+01 -4.171932435E+00 -3.429146163E+00  3.834995185E+01  6.610474888E-07  0.00000E+00  9.000E+00
       4     1     1     2   502     0 -9.944619623E+00  1.573155381E+01 -1.625993091E+01  2.471361159E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   501     0  1.169960076E+01 -3.167745645E+01 -5.638185544E+02  5.648289159E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.46807E+02 -1.00000E+00  1.16745E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  3.783731145E+02  3.783731145E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -5.813172932E+01  5.813172932E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.633792773E+00 -1.174955662E+00 -3.066088594E+01  8.450822244E+01  7.853935060E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  9.481695522E-01  4.916169894E+00  2.643121152E+01  2.690123965E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.685623221E+00 -6.091125555E+00 -5.709209746E+01  5.760698280E+01  2.697398305E-06  0.00000E+00  9.000E+00
      -3     1     1     2     0   511 -3.183755391E+00 -2.727512365E+00  7.732043141E+00  8.795459808E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.450037382E+00  3.902468027E+00  3.431702279E+02  3.432011615E+02  5.394796609E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.17233E+00 -1.00000E+00  2.89564E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  9.465493270E+00  9.465493270E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -7.652087034E+02  7.652087034E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  7.506423729E+00  3.742508999E+00 -6.794728329E+02  6.842980030E+02  8.068502578E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.377320419E+01  1.171738669E+01 -5.573847921E+02  5.580145776E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.127962792E+01 -7.974877688E+00 -1.220880409E+02  1.262834254E+02  4.862803949E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -5.508403527E+00 -1.278444116E+00 -8.286526196E+01  8.305798317E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -1.998020203E+00 -2.464064883E+00  6.594884764E+00  7.318210542E+00  5.591411304E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.74179E+00 -1.00000E+00  3.09104E-01
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00  4.403583309E+01  4.403583309E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.008267828E+03  1.008267828E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.184180684E+00  5.375882637E+00 -1.005576810E+03  1.008831567E+03  8.076347360E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.368770888E+01 -2.370564506E+01 -2.318038052E+02  2.342137256E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.150352820E+01  2.908152770E+01 -7.737730050E+02  7.746178414E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   502     0 -3.659204806E+00 -3.064671880E+00  4.612373765E+00  6.637468290E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512  1.475024123E+00 -2.311210757E+00  3.673244155E+01  3.683462575E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.19417E+01 -1.00000E+00  1.87197E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.197021140E+03  1.197021140E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00 -2.412205812E+01  2.412205812E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.507775236E+00  7.491770647E+00  9.826647876E+02  9.860516898E+02  8.112575348E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -8.897313478E+00 -2.910847754E+01  7.002285543E+02  7.008897873E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.440508871E+01  3.660024819E+01  2.824362333E+02  2.851619025E+02  1.009274029E-05  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -8.264962874E+00 -1.911084735E+01  2.105225278E+02  2.115496840E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.757187639E+00  1.161907670E+01 -2.028823406E+01  2.354182381E+01  6.743495762E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.44110E+00 -1.00000E+00  4.58412E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  7.617987683E+01  7.617987683E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   512  0.000000000E+00  0.000000000E+00 -6.242202334E+01  6.242202334E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.921242055E+01 -1.205038138E+01 -1.900768823E+01  8.840450477E+01  8.034604562E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -8.584535625E-01  2.548307430E+01  1.492539861E+01  2.954473798E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.007087411E+01 -3.753345567E+01 -3.393308684E+01  5.885976680E+01  8.259061849E-07  0.00000E+00  9.000E+00
      -4     1     1     2     0   501 -2.787122133E+01  1.152316145E+01  3.581652019E+01  4.682319240E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -1.341199225E+00  5.272199247E-01 -3.050978470E+00  3.374202992E+00  5.960464478E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.56616E+01 -1.00000E+00  1.57869E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.280574391E+02  1.280574391E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.768438892E+01  2.768438892E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  3.492260483E+00 -6.937154834E+00  8.120926573E+01  1.152931468E+02  8.146928783E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.531999475E+01  2.612163338E+01  1.773650056E+01  4.047252545E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.182773427E+01 -3.305878821E+01  6.347276518E+01  7.482062136E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   511     0  2.504753436E-01  1.508160628E+01 -4.005161814E+00  1.560637392E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -3.742735827E+00 -8.144451444E+00  2.316894628E+01  2.484230731E+01  5.840038640E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.34364E+01 -1.00000E+00  1.60842E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.239691132E+02  1.239691132E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00 -2.083055038E+03  2.083055038E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.059804492E+00  2.640546982E+00  1.005437133E+02  1.297690575E+02  8.197411005E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.894709976E+00 -3.858348498E+01  3.575890041E+01  5.274991031E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -5.954514468E+00  4.122403196E+01  6.478481290E+01  7.701914720E+01  1.651812370E-06  0.00000E+00  9.000E+00
       4     1     1     2   502     0  1.652217538E+01 -2.108247636E+01 -1.176311634E+01  2.925446965E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.446237089E+01  1.844192937E+01 -2.047866522E+03  2.048000624E+03  2.157918644E-05  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.14590E+00 -1.00000E+00  2.06584E-01
      -1    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  5.360857582E+01  5.360857582E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.984777463E+01  5.984777463E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.012396105E+01 -2.832516773E+00 -8.562498412E+00  8.614691964E+01  8.327651785E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.676003197E+01 -3.450268175E+01  1.494579649E+01  4.615096090E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.636070926E+00  3.167016497E+01 -2.350829490E+01  3.999595875E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -1.828021668E+01 -5.101980180E+00  6.293941936E-01  1.898927752E+01  5.856175307E-07  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -1.843744363E+00  7.934496953E+00  1.693905407E+00  8.320153286E+00  2.107342426E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.91972E+00 -1.00000E+00  2.16192E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.654163627E+01  2.654163627E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.403209512E+02  1.403209512E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -6.801109276E+00  9.651878074E-01 -1.225659879E+02  1.480789911E+02  8.281171124E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.832660881E+01  3.318017600E+01 -7.459016578E+01  8.641188389E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.152549954E+01 -3.221498819E+01 -4.797582216E+01  6.166710717E+01  6.743495762E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   502  1.089926862E+01  9.361980774E-01  9.135629602E+00  1.425237704E+01  2.384185791E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -4.098159340E+00 -1.901385885E+00 -3.489566002E-01  4.531219369E+00  5.600339315E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.36347E+00 -1.00000E+00  2.54776E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.151001240E+02  6.151001240E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -5.231616629E+00  5.231616629E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.031505749E+01 -1.141799443E+01  3.667566023E+02  3.760896750E+02  7.993726367E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.751875080E+01  2.794340421E+01  1.239123394E+02  1.299707019E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -7.203693311E+00 -3.936139864E+01  2.428442629E+02  2.461189731E+02  4.672030912E-06  0.00000E+00  9.000E+00
       3     1     1     2   501     0 -5.085743535E+00  4.269739170E+00  7.108530065E+01  7.139478573E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   502 -1.522931396E+01  7.148255258E+00  1.720266044E+02  1.728472799E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.96225E+01 -1.00000E+00  1.67013E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  2.241739838E+02  2.241739838E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.822376846E+01  9.822376846E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  3.965416034E+01 -8.028421867E-01 -2.880823569E+01  9.705976311E+01  8.377103428E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  5.327984008E+01  2.071171449E+01 -3.945440256E+01  6.945765874E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.362567974E+01 -2.151455668E+01  1.064616687E+01  2.760210438E+01  1.272806913E-06  0.00000E+00  9.000E+00
       4     1     1     2   502     0 -2.960060412E+01 -1.604848037E+01 -2.660656543E+01  4.291455243E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -1.005355622E+01  1.685132256E+01  1.813650165E+02  1.824234367E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.80811E+00 -1.00000E+00  2.68492E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  9.234452143E+01  9.234452143E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   511  0.000000000E+00  0.000000000E+00 -2.337773638E+01  2.337773638E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.681185680E+00 -7.904658710E+00  6.445814262E+01  1.018530137E+02  7.808777120E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.165408975E+01  1.682905125E+00 -1.525450794E+01  1.927044343E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.933527543E+01 -9.587563835E+00  7.971265057E+01  8.258257029E+01  2.336015456E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  4.125418987E+00  6.541491754E+00  5.991039620E+00  9.782778333E+00  2.384185791E-07  0.00000E+00  9.000E+00
      21     1     1     2   502   511  3.555766693E+00  1.363166956E+00 -1.482397187E+00  4.086465752E+00  9.185692672E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.52022E+01 -1.00000E+00  1.58452E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.155644190E+02  4.155644190E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.072047009E+01  2.072047009E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.386341421E+01  1.887942656E+01  3.953159087E+02  4.038257577E+02  7.906925999E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.249535876E+01 -2.120743027E+01  2.746109766E+02  2.763457702E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -8.631944554E+00  4.008685683E+01  1.207049321E+02  1.274799874E+02  1.907348633E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.295565518E+01 -1.629158542E+01  8.941555210E+00  2.265427479E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -9.077590266E-01 -2.587841139E+00 -9.413515027E+00  9.804856622E+00  1.690083370E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.58822E+01 -1.00000E+00  1.47796E-01
      21    -1     0     0   512   501  0.000000000E+00  0.000000000E+00  2.589807698E+02  2.589807698E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.918233480E+02  2.918233480E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.061945633E+01  1.046816274E+01 -1.943283079E+02  2.134413831E+02  8.213768453E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.034279455E+01 -9.485938077E+00 -1.818263435E+02  1.823671451E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.027666177E+01  1.995410082E+01 -1.250196440E+01  3.107423798E+01  3.769728732E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  6.614137030E+01 -1.554055733E+01 -7.324512116E+01  9.990514282E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   502 -3.552191398E+01  5.072394587E+00  2.347308509E+02  2.374575919E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.71644E+01 -1.00000E+00  1.71996E-01
       3    -1     0     0   502     0  0.000000000E+00  0.000000000E+00  8.163487346E+01  8.163487346E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.964238863E+01  4.964238863E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.087853766E+01  5.861608110E+00 -1.048604230E+01  8.096790564E+01  7.932933650E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.027743018E+01  2.266500571E+00 -4.264310131E+01  4.727309265E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  9.398892524E+00  3.595107539E+00  3.215705901E+01  3.369481300E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   502     0  8.450474307E-01  8.064874144E+00  6.310773971E+00  1.027531840E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   501     0  1.003349023E+01 -1.392648225E+01  3.616775315E+01  4.003403805E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.21898E+01 -1.00000E+00  1.86262E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.154485315E+02  1.154485315E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -4.141437708E+01  4.141437708E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -7.707893060E+00 -2.254565949E+00  1.003620690E+02  1.290215967E+02  8.068167600E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.561131300E+01  3.682852488E+01  6.134104657E+01  7.323098615E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  7.903419937E+00 -3.908309083E+01  3.902102240E+01  5.579061054E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   501     0  5.917930716E-01 -1.025958518E+00 -2.712074612E+00  2.959418629E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -3     1     1     2     0   502  7.116099989E+00  3.280524467E+00 -2.361583990E+01  2.488189329E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.97422E+00 -1.00000E+00  2.01290E-01
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  8.675196291E+01  8.675196291E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.211526587E+02  1.211526587E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.157722927E+01 -2.021766575E+01  7.780006345E+00  1.028735662E+02  8.633352495E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.114678163E+01 -4.905141238E+01 -1.601433002E+01  6.027123550E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.043044764E+01  2.883374663E+01  2.379433637E+01  4.260233067E+01  4.768371582E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  6.027445548E+01  2.243011211E+01 -5.815591830E+01  8.670773175E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -8.697226216E+00 -2.212446368E+00  1.597521612E+01  1.832332374E+01  3.371747881E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.61566E+00 -1.00000E+00  2.29950E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  1.718133083E+01  1.718133083E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.770841052E+02  4.770841052E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -8.280140169E+00 -2.510433813E+00 -1.947783523E+02  2.110053090E+02  8.068315136E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.802006051E+01  6.271480713E+00 -1.851302148E+02  1.873436726E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.973992034E+01 -8.781914527E+00 -9.648137517E+00  2.366163637E+01  2.384185791E-07  0.00000E+00  9.000E+00
      -3     1     1     2     0   501  2.694493971E+00  3.090230877E+00 -2.733059880E+02  2.733367390E+02  0.000000000E+00  0.00000E+00  9.000E+00
       4     1     1     2   511     0  5.585646197E+00 -5.797970637E-01  8.181565919E+00  9.923387978E+00  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.20717E+01 -1.00000E+00  1.86703E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  4.157796101E+01  4.157796101E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.054531301E+02  1.054531301E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.210190882E+00  1.201890664E+01 -2.623992033E+00  8.361379163E+01  8.238895464E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.182161006E+01  1.757048829E+01  3.738106301E+01  4.296296539E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.611419181E+00 -5.551581647E+00 -4.000505504E+01  4.065082625E+01  8.259061849E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   512  2.114999963E+00 -7.795014301E+00 -1.892000668E+01  2.057187705E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501  5.095190919E+00 -4.223892338E+00 -4.233117043E+01  4.284542247E+01  2.286830675E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.43209E+01 -1.00000E+00  1.79252E-01
       1    -1     0     0   502     0  0.000000000E+00  0.000000000E+00  5.892013247E+02  5.892013247E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -4.008366822E+01  4.008366822E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.114390843E+01  7.788759890E+00  3.343046397E+00  8.048013058E+01  7.925291152E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -8.761914944E+00 -2.583065834E+01  2.395848053E+01  3.630430902E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.990582338E+01  3.361941823E+01 -2.061543414E+01  4.417582157E+01  1.066240300E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   501  2.997378633E+00 -1.004977872E+01  1.797237556E+01  2.080837846E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   501     0 -1.414128707E+01  2.261018834E+00  5.278022345E+02  5.279964838E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.32626E+01 -1.00000E+00  1.61091E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  3.102644569E+01  3.102644569E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.944215613E+02  1.944215613E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  9.955262349E+00  2.812234451E+01 -7.022678322E+01  1.106108874E+02  8.008117014E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.423637215E+01 -3.812947602E+00  1.933641613E+00  2.461055210E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.419163450E+01  3.193529212E+01 -7.216042484E+01  8.600033526E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -2.665188177E+01 -1.192438840E+01 -8.549232679E+01  9.034075371E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.669661942E+01 -1.619795611E+01 -7.676005616E+00  2.449636595E+01  1.192092896E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.15518E+01 -1.00000E+00  1.88729E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  5.492742669E+02  5.492742669E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -4.337646880E+00  4.337646880E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.982322433E+00 -1.309444122E+01  4.821687522E+02  4.889308067E+02  7.994519483E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.140704460E+01  6.424031082E+00  1.054778714E+01  1.681203901E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  9.424722168E+00 -1.951847230E+01  4.716209651E+02  4.721187677E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -6.137587416E-01  5.202906290E+00  4.180666153E+01  4.213364311E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502  2.596081174E+00  7.891534928E+00  2.096120629E+01  2.254746394E+01  5.840038640E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.84583E+01 -1.00000E+00  1.24109E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  2.317615781E+01  2.317615781E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.668855512E+02  3.668855512E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.235334634E+00  2.271256067E+00 -2.437428898E+02  2.556143656E+02  7.692822790E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.932254847E-01  3.950495627E+01 -1.328355837E+02  1.385872087E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.928560119E+00 -3.723370020E+01 -1.109073061E+02  1.170271568E+02  1.348699152E-06  0.00000E+00  9.000E+00
       1     1     1     2   512     0 -4.497136166E+00 -4.388941644E+01 -6.992320703E+01  8.267865499E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  6.732470800E+00  4.161816037E+01 -3.004329663E+01  5.176868850E+01  2.780414531E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.13188E+02 -1.00000E+00  1.10630E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.460121175E+03  1.460121175E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -6.637145479E+01  6.637145479E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.188204458E+01 -2.236157611E-01  1.438544856E+03  1.440977520E+03  7.738473449E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.659368509E+01  2.033102973E+01  2.771443605E+02  2.783840831E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.847572967E+01 -2.055464549E+01  1.161400495E+03  1.162593437E+03  1.525878906E-05  0.00000E+00  9.000E+00
       1     1     1     2   512     0  6.923462903E+00  1.487474040E+01  8.098639278E+00  1.829699972E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -3.880550748E+01 -1.465112464E+01 -5.289377484E+01  6.721810977E+01  9.344061824E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.05285E+00 -1.00000E+00  2.37634E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  1.371937287E+01  1.371937287E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.071284533E+03  1.071284533E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.224454500E+00  4.614447641E-01 -6.866639831E+02  6.914874583E+02  8.142125262E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  5.429719462E+00  1.214814009E+01 -6.743014595E+02  6.744327376E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.205264962E+00 -1.168669533E+01 -1.236252356E+01  1.705472076E+01  1.130918620E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -9.098118505E+00 -1.795127520E+00 -3.815851813E+02  3.816978502E+02  7.629394531E-06  0.00000E+00  9.000E+00
       4     1     1     2   511     0  4.873664005E+00  1.333682756E+00  1.068400397E+01  1.181859769E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.46670E+00 -1.00000E+00  4.52117E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.767802271E+02  2.767802271E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00 -1.680519249E+01  1.680519249E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.371009659E+01  3.173911812E+00  2.636757401E+02  2.762022263E+02  8.102304230E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.540494273E+01 -2.312264616E+01  2.372918512E+02  2.389129375E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.694846138E+00  2.629655798E+01  2.638388893E+01  3.728928881E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4     1     1     2   502     0 -1.411590421E+01 -1.764469176E+00 -5.329542831E+00  1.519131758E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.058076206E-01 -1.409442636E+00  1.628837277E+00  2.191875736E+00  3.650024150E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.69075E+00 -1.00000E+00  2.71870E-01
       1    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  1.318610494E+02  1.318610494E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.620705092E+01  2.620705092E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -9.251725706E-01  3.521712302E+00  8.178494997E+01  1.138315616E+02  7.909227503E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.282099580E+01 -8.559562374E+00  8.364516433E+01  8.712392022E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.374616837E+01  1.208127468E+01 -1.860214365E+00  2.670764137E+01  4.612144095E-07  0.00000E+00  9.000E+00
       2     1     1     2   502     0  2.002399788E+00 -7.051757366E+00 -8.746863768E+00  1.141247180E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -1.077227217E+00  3.530045065E+00  3.261591231E+01  3.282406697E+01  4.768371582E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.46179E+01 -1.00000E+00  1.78398E-01
      -1    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  1.549445005E+02  1.549445005E+02  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.130990801E+01  8.130990801E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.815856619E+01  3.505632991E+01 -3.405461876E+00  9.201611122E+01  8.020920419E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.390585811E+01  2.485617827E+01  1.241536735E+01  3.665325356E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  5.206442430E+01  1.020015165E+01 -1.582082923E+01  5.536285766E+01  5.057621821E-07  0.00000E+00  9.000E+00
       3     1     1     2   502     0 -2.284296623E+01 -4.867351166E+01 -1.109433562E+01  5.489987364E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502 -5.315599961E+00  1.361718175E+01  8.813438997E+01  8.933842364E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.96094E+00 -1.00000E+00  2.01369E-01
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00  3.463642946E+01  3.463642946E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.734601758E+02  1.734601758E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.281432563E+01  4.800885281E+00 -6.461836103E+01  1.047860041E+02  8.134690301E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.448776104E+01  6.740910449E+00 -2.823488227E+01  4.507831088E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.730208667E+01 -1.940025168E+00 -3.638347876E+01  5.970769320E+01  8.259061849E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.838661550E+01 -1.181857988E+01 -8.586615107E+01  8.860441501E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   511 -5.572289863E+00  7.017694602E+00  1.166076579E+01  1.470618614E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.95689E+00 -1.00000E+00  2.98647E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.904866832E+00  2.904866832E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.081958143E+02  7.081958143E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.220706881E+00 -5.250074165E+00 -6.060814893E+02  6.114515613E+02  8.051969318E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -8.092041433E+00 -2.694718974E+01 -7.804624841E+01  8.296293787E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.871334553E+00  2.169711557E+01 -5.280352410E+02  5.284886234E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   512  6.368748472E+00  4.025818676E+00 -7.357481806E+01  7.395959726E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   502 -1.148041591E+00  1.224255489E+00 -2.563464001E+01  2.568952256E+01  3.371747881E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.07451E+01 -1.00000E+00  1.92161E-01
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.009156993E+01  2.009156993E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -2.258740884E+02  2.258740884E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.396422816E+01  4.225521353E+00 -7.131154778E+01  1.088606890E+02  7.856954559E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.402195321E+01  3.251138414E+01 -6.116240068E+01  7.717073704E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.005772504E+01 -2.828586279E+01 -1.014914711E+01  3.168995193E+01  7.251217997E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -1.321942562E+01 -4.307121365E+00 -4.812885702E+01  5.009682012E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -1.074480254E+01  8.160001224E-02 -8.634211366E+01  8.700814923E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.47628E+00 -1.00000E+00  2.31731E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  4.846656290E+00  4.846656290E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.731621932E+02  7.731621932E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -9.415863825E+00  1.293314410E+01 -5.391268835E+02  5.453318134E+02  8.045536348E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.187976285E+01 -4.722803673E+00 -3.219958933E+02  3.236046654E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.129562668E+01  1.765594777E+01 -2.171309902E+02  2.217271481E+02  4.672030912E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  9.481872067E+00 -7.457259053E+00 -2.260368907E+02  2.263585487E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -6.600824144E-02 -5.475885047E+00 -3.151762658E+00  6.318487318E+00  3.039252468E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.61841E+01 -1.00000E+00  1.74285E-01
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.099421569E+02  1.099421569E+02  0.000000000E+00  0.00000E+00  9.000E+00
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.572809438E+01  4.572809438E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  6.537845205E+00 -9.469089575E+00 -8.296014046E+00  7.998267181E+01  7.871465470E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.579939125E+00  7.902934849E+00 -4.062260718E+01  4.163686390E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.111778433E+01 -1.737202442E+01  3.232659313E+01  3.834580791E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.061554089E+01 -5.544303079E-01  4.165525504E+01  4.299020091E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502  4.077695681E+00  1.002351988E+01  3.085482155E+01  3.269737858E+01  6.743495762E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.04182E+01 -1.00000E+00  1.65590E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.476958954E+02  2.476958954E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.235931389E+01  1.235931389E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  8.468849492E+00  2.027748312E+00  2.309128255E+02  2.445072079E+02  7.992001351E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.520346725E+00 -3.397450304E+01  5.495850055E+01  6.462983130E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  9.989196218E+00  3.600225135E+01  1.759543250E+02  1.798773766E+02  3.303624740E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511  3.284684980E-01  4.132749811E+00  1.593457329E+00  4.441465840E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -8.797317990E+00 -6.160498123E+00  2.830298657E+00  1.110653553E+01  1.067905001E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.78028E+01 -1.00000E+00  1.40169E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  3.323705399E+02  3.323705399E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   501   511  0.000000000E+00  0.000000000E+00 -1.338243708E+02  1.338243708E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.425502471E+01 -3.279683905E+01  2.522715828E+02  2.672629268E+02  8.068260126E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.671436682E+01 -1.644895447E+01  1.139685717E+02  1.242643775E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.245934210E+01 -1.634788458E+01  1.383030111E+02  1.429985493E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  1.913806532E+01  8.034962757E+01 -1.018285323E+02  1.311158960E+02  6.031565972E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   511 -4.883040610E+00 -4.755278852E+01  4.810311846E+01  6.781608797E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.39989E+02 -1.00000E+00  1.17575E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  9.157581306E+01  9.157581306E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.338100841E+02  1.338100841E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -5.008315027E+00  1.715069845E+01 -1.149824302E+02  1.432172687E+02  8.349249740E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.883048998E+01 -3.186316007E+00 -1.169968198E+02  1.185453323E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.382217496E+01  2.033701446E+01  2.014389668E+00  2.467193636E+01  5.915592087E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0  3.160347922E+00 -4.071459323E+00 -2.529148615E+00  5.741182171E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  1.847967106E+00 -1.307923913E+01  7.527730777E+01  7.642744628E+01  3.162979880E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.48736E+01 -1.00000E+00  1.77683E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  8.253601962E+01  8.253601962E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.386704295E+02  1.386704295E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.134594051E-01  2.071775752E+01  6.034376644E+01  1.024085697E+02  8.010506389E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.818808299E+01 -3.158500163E+00  5.925039867E+01  6.568983094E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.787462359E+01  2.387625769E+01  1.093367773E+00  3.671873873E+01  6.583548198E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -3.713667573E+00 -1.043049180E+01 -3.918398997E+01  4.071819687E+01  1.066240300E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.027126978E+00 -1.028726572E+01 -7.729418639E+01  7.807968262E+01  2.132480600E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.69845E+00 -1.00000E+00  2.71642E-01
       1    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  7.355397055E+00  7.355397055E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.771872883E+02  3.771872883E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -5.270699239E+00 -2.779737028E+00 -3.626112074E+02  3.714274531E+02  8.022442268E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.865028530E+01 -1.828485699E+01 -2.219421905E+02  2.260232654E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.337958606E+01  1.550511997E+01 -1.406690169E+02  1.454041878E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  6.276778083E+00 -7.792472742E-01 -6.964456599E+00  9.407912900E+00  5.397430145E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -1.006078845E+00  3.558984303E+00 -2.562272018E-01  3.707319286E+00  7.413234093E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.60409E+00 -1.00000E+00  2.49764E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.566959398E+01  1.566959398E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.936475025E+02  1.936475025E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.394112896E+01  3.081541586E+00 -1.238912525E+02  1.495194928E+02  8.015212246E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.875478181E+01 -2.077634980E+01 -3.471010851E+01  5.602125898E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.481365285E+01  2.385789138E+01 -8.918114395E+01  9.349823382E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  1.947089453E+01 -4.065347063E+00 -3.588202537E+01  4.102636378E+01  1.651812370E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502  4.470234430E+00  9.838054763E-01 -1.820463073E+01  1.877123994E+01  3.371747881E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.54511E+00 -1.00000E+00  3.20204E-01
       1    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  2.505160857E+02  2.505160857E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.543129250E+01  1.543129250E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.899297927E-01 -6.907372443E+00  9.534535336E+01  1.253405531E+02  8.106453002E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.112901221E+00 -3.836313403E+01  8.273478390E+01  9.124946396E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.702831014E+00  3.145576159E+01  1.261056946E+01  3.409108911E+01  1.079486029E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -1.836634859E+00  4.688522180E+00  1.464493806E+01  1.548643531E+01  4.129530925E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   501  1.246705066E+00  2.218850262E+00  1.250945018E+02  1.251203898E+02  1.348699152E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.05222E+01 -1.00000E+00  1.65410E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.214844296E+01  2.214844296E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.453898716E+02  1.453898716E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.946405685E+00  9.348267190E+00 -1.272440904E+02  1.510379797E+02  8.068181786E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -9.743557263E+00 -2.433799513E+01 -1.096341193E+02  1.127249530E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  4.797151578E+00  3.368626232E+01 -1.760997115E+01  3.831302671E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  2.702878007E+00  2.647195919E+00  1.307086574E+00  4.002707966E+00  4.683802618E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502  2.243527678E+00 -1.199546311E+01  2.695575232E+00  1.249762687E+01  1.728020789E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.01626E+00 -1.00000E+00  2.07489E-01
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00  9.163713041E+01  9.163713041E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.886287708E+02  2.886287708E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.340883061E+01  2.217279006E+00 -2.208653915E+02  2.363620455E+02  8.082453652E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.711086786E+01 -4.734428112E+00 -1.947206276E+02  2.003945396E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.370203724E+01  6.951707118E+00 -2.614476390E+01  3.596750590E+01  1.118282261E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0  2.712188794E+01  4.887195550E+00 -5.664177685E+01  6.299025615E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -3.713057327E+00 -7.104474556E+00  8.051552796E+01  8.091359958E+01  2.336015456E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.25709E+01 -1.00000E+00  1.50566E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.261986867E+02  3.261986867E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -7.260948753E+00  7.260948753E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.005179013E+00 -6.976388224E+00  2.076781597E+02  2.215000521E+02  7.664433428E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.472389703E+01 -1.355989269E+01  8.299789765E+00  2.166911037E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.171871802E+01  6.583504470E+00  1.993783700E+02  1.998309418E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   512     0 -1.280297925E+00 -1.087025128E-01  1.940396143E+00  2.327255080E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  4.285476938E+00  7.085090737E+00  1.093191821E+02  1.096323282E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.67848E+00 -1.00000E+00  1.97353E-01
       1    -1     0     0   502     0  0.000000000E+00  0.000000000E+00  4.528395734E+02  4.528395734E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -5.485340230E+01  5.485340230E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.614899947E+01 -3.532189639E+01 -1.370118308E+01  8.985040598E+01  7.985578556E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.999953082E+01 -4.536015286E+01 -1.645496488E+01  5.223304098E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.614853029E+01  1.003825647E+01  2.753781801E+00  3.761736500E+01  9.875322298E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -2.551577674E+01  3.775838883E+01  1.712287654E+02  1.771892798E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   501     0  9.366777267E+00 -2.436492441E+00  2.404585888E+02  2.406532899E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.48082E+01 -1.00000E+00  1.48654E-01
      21    -1     0     0   501   512  0.000000000E+00  0.000000000E+00  3.723890608E+02  3.723890608E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -4.279069268E+01  4.279069268E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.169923452E+00 -1.860589006E+01  1.454005697E+02  1.685915895E+02  8.317590386E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.948972564E+01 -1.367107271E-01  4.139363629E+01  5.720917974E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.531980219E+01 -1.846917934E+01  1.040069334E+02  1.113824098E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -2.998145511E+01  1.187589520E+01 -2.098447550E+01  3.847431286E+01  1.168007728E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   512  3.415137857E+01  6.729994861E+00  2.051822739E+02  2.081138511E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.84608E+00 -1.00000E+00  2.27159E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.249772663E+02  2.249772663E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   502  0.000000000E+00  0.000000000E+00 -4.331696611E+01  4.331696611E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.273343452E+01 -2.527613335E+00  2.148561056E+02  2.297570240E+02  8.035306348E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.958936617E+00 -4.474857314E+00 -5.518826442E+00  8.664458778E+00  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.769237114E+01  1.947243978E+00  2.203749320E+02  2.210925653E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -6.891192725E+00  2.739395486E+00 -3.162633860E+01  3.248412101E+01  4.768371582E-07  0.00000E+00  9.000E+00
       1     1     1     2   512     0 -5.842241795E+00 -2.117821510E-01 -1.569466763E+00  6.053087377E+00  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.40632E+00 -1.00000E+00  3.29145E-01
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00  3.874608838E+00  3.874608838E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.436611971E+02  6.436611971E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  6.230751146E+00 -1.800511347E+00 -4.798312824E+02  4.865920010E+02  8.057078748E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -9.190068320E+00  2.709972668E+01 -7.245864682E+01  7.790448024E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.542081947E+01 -2.890023803E+01 -4.073726356E+02  4.086875208E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -5.921709384E+00 -5.858777917E-01 -1.570875878E+02  1.572002549E+02  3.303624740E-06  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -3.090417612E-01  2.386389138E+00 -2.867718079E+00  3.743550041E+00  1.632340424E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.86249E+01 -1.00000E+00  1.39741E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.135104983E+02  1.135104983E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -3.973842621E+01  3.973842621E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.112032176E+01 -3.380551173E-01  1.714830493E+01  8.184999265E+01  7.925642622E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  4.170548287E+01 -9.121317070E+00 -5.139757700E+00  4.299956786E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.058516111E+01  8.783261953E+00  2.228806263E+01  3.885042479E+01  6.743495762E-07  0.00000E+00  9.000E+00
      -1     1     1     2     0   511 -2.477436320E-01  2.017925183E+01  2.043870235E+01  2.872288522E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.087257813E+01 -1.984119671E+01  3.618506481E+01  4.267604665E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.41566E+00 -1.00000E+00  2.20972E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  7.558581938E+01  7.558581938E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -8.080693673E+01  8.080693673E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.806993773E+01 -3.236047629E+01  2.101798731E+01  9.086603430E+01  8.025682104E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.255185432E+01 -3.620603498E+01 -2.408750345E+01  4.526183644E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  5.518083412E+00  3.845558691E+00  4.510549076E+01  4.560419786E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   501 -1.764060577E+01  2.595919458E+01 -3.970426084E+01  5.061125452E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -4.293319597E-01  6.401281703E+00  1.346515619E+01  1.491546729E+01  2.384185791E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.06429E+02 -1.00000E+00  1.05277E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.489571609E+02  3.489571609E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -8.583011004E+01  8.583011004E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  6.283993644E+01 -5.014172374E+01  1.921195896E+02  2.234361946E+02  8.093668066E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  4.738869431E+01  1.291312922E+01  8.572598775E+01  9.879970765E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.545124214E+01 -6.305485296E+01  1.063936019E+02  1.246364870E+02  1.348699152E-06  0.00000E+00  9.000E+00
       1     1     1     2   512     0  3.549028143E+00 -2.050281219E+01  1.061982355E+02  1.082174946E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -6.638896459E+01  7.064453592E+01 -3.519077432E+01  1.031335817E+02  1.342785629E-05  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.80797E+01 -1.00000E+00  1.70026E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  1.167770434E+01  1.167770434E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.868503174E+02  2.868503174E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.310044189E+00  4.909956262E+00 -2.789944712E+02  2.898423770E+02  7.838918713E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.336914077E+01  5.410109921E+00 -2.524776457E+02  2.536145651E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.467918496E+01 -5.001536586E-01 -2.651682552E+01  3.622781197E+01  6.743495762E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0 -1.422679327E+00  2.891520567E-01 -3.350461150E-01  1.489926602E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  2.732723516E+00 -5.199108319E+00  4.156904323E+00  7.195718079E+00  2.086162567E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.82524E+01 -1.00000E+00  1.46022E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.537468488E+02  1.537468488E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -4.090733232E+02  4.090733232E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.655456178E+00  1.888527559E+00  1.427559717E+02  1.642068769E+02  8.092638773E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.680034606E+01 -2.443076886E+01  3.181380442E+01  4.824146731E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.114488988E+01  2.631929642E+01  1.109421673E+02  1.159654096E+02  1.907348633E-06  0.00000E+00  9.000E+00
       1     1     1     2   501     0  4.473762093E+00  5.263525895E+00 -8.300533222E+01  8.329228313E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502 -1.012921827E+01 -7.152053454E+00 -3.150771138E+02  3.153210120E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.88414E+00 -1.00000E+00  2.26716E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  5.662848365E+00  5.662848365E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.081046186E+02  4.081046186E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.066715204E+00  9.412221816E+00 -3.640916492E+02  3.737734857E+02  8.397040172E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.275819984E+01  3.930386062E+01 -2.479402248E+02  2.520656347E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.069148464E+01 -2.989163880E+01 -1.161514245E+02  1.217078511E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   502  6.204350726E-01 -4.573813472E+00 -8.872513253E+00  1.000130995E+01  1.685873940E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -2.687150276E+00 -4.838408343E+00 -2.947760781E+01  2.999267134E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.26794E+01 -1.00000E+00  1.84496E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  1.853001033E+02  1.853001033E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -4.698331170E+01  4.698331170E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  9.538157806E+00 -1.610012873E+01  3.823362674E+01  9.321749767E+01  8.293070034E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.968686195E+01 -1.608024890E+01  4.191341908E+01  5.382024597E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.922501976E+01 -1.987983436E-02 -3.679792343E+00  3.939725170E+01  1.135621004E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   501  2.324238867E+00  2.057802926E+01 -1.353677283E+01  2.474068700E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.186239667E+01 -4.477900523E+00  1.136199377E+02  1.143252303E+02  1.348699152E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.39699E+01 -1.00000E+00  1.42306E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.461447802E+03  1.461447802E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.548302791E+00  3.548302791E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.662087038E+01  5.587265159E+00  5.747610450E+02  5.807736302E+02  8.148791243E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.211324168E+01 -9.482136255E+00  4.729136152E+01  5.306014738E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -5.492371308E+00  1.506940141E+01  5.274696835E+02  5.277134828E+02  1.078959322E-05  0.00000E+00  9.000E+00
       4     1     1     2   501     0 -2.334893327E+01  5.815178837E+00  3.104857524E+02  3.114167488E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   502  6.728062894E+00 -1.140244400E+01  5.726527019E+02  5.728057258E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.24464E+01 -1.00000E+00  1.50678E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  1.289546866E+02  1.289546866E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00 -7.050750085E+01  7.050750085E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.194727902E+00  3.419686945E+01  6.318538406E+01  1.097202174E+02  8.289686753E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.781463699E+00 -1.899020258E+01 -8.147080167E+00  2.074069243E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.132642038E-01  5.318707203E+01  7.133246423E+01  8.897952501E+01  2.132480600E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -1.535960327E+01 -4.541239312E+00  3.496982446E+01  3.846334476E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  1.316487537E+01 -2.965563014E+01 -3.970802273E+01  5.127862529E+01  4.768371582E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.65294E+01 -1.00000E+00  1.26698E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  7.533846183E+01  7.533846183E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -8.862633860E+01  8.862633860E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.658040418E+01 -4.643970235E+00 -4.329070361E-01  9.456651892E+01  8.216652955E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.061757729E+01  1.688666697E+00  2.438401219E+01  6.535994433E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.403717311E+01 -6.332636931E+00 -2.481691923E+01  2.920657459E+01  3.371747881E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  4.714965394E-01 -1.639217717E+01 -5.712553649E+00  1.736545567E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -4.705190072E+01  2.103614740E+01 -7.142416084E+00  5.203282585E+01  2.822265768E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.25159E+02 -1.00000E+00  1.09788E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  6.974688139E+01  6.974688139E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.075499039E+02  4.075499039E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  6.181640940E+00 -2.020435581E+01 -3.820138051E+02  3.909638600E+02  8.044727392E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.282540080E+01  2.404184833E+01 -1.105117331E+02  1.153770018E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.664375986E+01 -4.424620413E+01 -2.715020720E+02  2.755868582E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.334322357E+01 -6.905287355E+00 -1.314078037E+01  1.996007809E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -1.952486451E+01  2.710964316E+01  5.735156288E+01  6.637284725E+01  7.325311420E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.03311E+01 -1.00000E+00  1.94078E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  1.094254051E+01  1.094254051E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.832092957E+02  2.832092957E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.279734440E+00  1.623115196E+01 -2.493967325E+02  2.627772681E+02  8.100516371E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.042648142E+00  2.281804662E+01 -1.315493979E+01  2.635911242E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  6.322382582E+00 -6.586894656E+00 -2.362417927E+02  2.364181557E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.408303714E-01 -7.436307931E+00 -1.889321131E+01  2.030448084E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -5.420564812E+00 -8.794844028E+00 -3.976811439E+00  1.107008733E+01  2.064765462E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.27694E+00 -1.00000E+00  1.99541E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.654624048E+01  2.654624048E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -7.265851652E+01  7.265851652E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.891649883E+00 -6.657099045E+00 -4.345354679E+01  9.138013617E+01  8.008884599E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.591542275E+01  1.568623526E+01 -2.636404990E+01  4.723387233E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.402377287E+01 -2.234333431E+01 -1.708949689E+01  4.414626385E+01  8.920806376E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -4.448619486E-01  6.984387195E-03 -5.338445997E-01  6.949395597E-01  2.107342426E-08  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -1.446787935E+00  6.650114658E+00 -2.124884654E+00  7.129681275E+00  2.086162567E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.52289E+00 -1.00000E+00  2.31127E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.997064325E+02  8.997064325E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.553968638E+00  3.553968638E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.516228664E+00 -1.316666268E+01  8.718961056E+02  8.754293702E+02  7.738241723E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.353285244E+01 -2.815397600E+01  1.520582109E+02  1.552336431E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.704908111E+01  1.498731332E+01  7.198378947E+02  7.201957272E+02  1.078959322E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.815269577E-02  1.240304530E-01  1.642486709E-01  2.201568146E-01  2.385349660E-08  0.00000E+00  9.000E+00
      21     1     1     2   511   502  3.438075968E+00  1.304263223E+01  2.409210964E+01  2.761087410E+01  1.545128989E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.74630E+00 -1.00000E+00  1.96997E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.554164799E+01  1.554164799E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.433280404E+02  1.433280404E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.798063872E+00  3.673191355E+00 -1.176135151E+02  1.427426901E+02  8.078249367E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.165626028E+01  3.936386335E+01 -4.637447030E+01  6.193523745E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.345432415E+01 -3.569067200E+01 -7.123904476E+01  8.080745265E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -6.431276391E+00 -8.857308568E-01 -3.019108137E+00  7.159668227E+00  3.526258339E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   511  4.633212520E+00 -2.787460498E+00 -7.153769176E+00  8.967330021E+00  2.230201594E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.54958E+00 -1.00000E+00  2.76206E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.623019626E+01  2.623019626E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.817622308E+02  1.817622308E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.171358859E+00 -6.963167681E+00 -1.681146452E+02  1.860139698E+02  7.920086550E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -6.131630822E+00  2.144579935E+01 -8.995684954E+00  2.405081193E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.030298968E+01 -2.840896703E+01 -1.591189602E+02  1.619631579E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -4.942993838E+00  9.008671573E+00  1.533748444E+01  1.846152162E+01  1.498437535E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  7.716349792E-01 -2.045503891E+00 -2.754873843E+00  3.516935684E+00  7.300048300E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.21001E+00 -1.00000E+00  2.88096E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  1.076868188E+02  1.076868188E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.776754939E+01  5.776754939E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.615569798E+01 -8.182730988E+00 -2.608284344E+01  8.715745206E+01  8.116737685E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.648235369E+01 -3.656316724E+01 -3.902855621E+01  5.596214240E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.266557080E-01  2.838043626E+01  1.294571277E+01  3.119530967E+01  4.129530925E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0 -1.109338560E+01  3.693234606E+00  5.510273913E+01  5.632952197E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -5.062312378E+00  4.489496382E+00  2.089937375E+01  2.196739419E+01  1.369610464E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.15693E+00 -1.00000E+00  2.59488E-01
      -2    -1     0     0     0   512  0.000000000E+00  0.000000000E+00  1.853565495E+02  1.853565495E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.930775828E+01  2.930775828E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  8.984863847E+00 -5.909773925E+00  1.009310176E+02  1.291594087E+02  7.987132991E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.559717495E+01 -3.072812272E+01  2.401598485E+01  4.664976334E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.661231110E+01  2.481834880E+01  7.691503276E+01  8.250964538E+01  1.651812370E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   501 -5.481381477E+00  3.672433323E+00 -1.441225256E+01  1.585072028E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -3.503482370E+00  2.237340601E+00  6.953002617E+01  6.965417877E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.15195E+01 -1.00000E+00  1.63747E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  7.673341350E+00  7.673341350E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.538269752E+02  9.538269752E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.924477027E+00  1.531987485E+01 -2.266806647E+02  2.408833138E+02  7.988553100E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -6.927913767E+00  4.706378313E+01 -1.288996692E+02  1.373976725E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.185239079E+01 -3.174390828E+01 -9.778099551E+01  1.034856413E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502  1.242318436E+00  5.492098929E-01 -5.931896472E+02  5.931912023E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -6.166795463E+00 -1.586908474E+01 -1.262833219E+02  1.274258004E+02  2.336015456E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.47030E+01 -1.00000E+00  1.29781E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.743858355E+02  1.743858355E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -5.036192921E+01  5.036192921E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.917988099E+01  8.036390187E+00 -1.017791059E+01  8.453099486E+01  8.129851061E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.070392642E+01  1.743878001E+01 -2.879668762E+01  3.952230808E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.988380742E+01 -9.402389819E+00  1.861877703E+01  4.500868679E+01  7.907449699E-07  0.00000E+00  9.000E+00
       1     1     1     2   501     0 -7.627021993E+00 -8.155807428E+00  1.995266845E+01  2.286476848E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502  2.680690298E+01  1.194172409E-01  1.142491484E+02  1.173520013E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.31700E+01 -1.00000E+00  1.50037E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  5.288682933E+01  5.288682933E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.889868497E+01  4.889868497E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.417248911E+01 -4.467527682E+00  1.263819005E+01  8.315038371E+01  8.082972357E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -9.108801572E+00  1.325979977E+01  3.998441543E+01  4.309925792E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.328129069E+01 -1.772732746E+01 -2.734622538E+01  4.005112579E+01  1.215700987E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   512  6.732757884E-02 -2.327620464E-01  8.498416111E-01  8.837091926E-01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -1.423981669E+01  4.700289729E+00 -9.499887302E+00  1.775142140E+01  7.817075878E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.44151E+00 -1.00000E+00  2.04602E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.873116865E+02  3.873116865E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.032158719E+01  1.032158719E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -3.044190969E+01 -1.749863907E+01  3.000269438E+02  3.125775420E+02  8.034700055E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -1.677331108E+01 -1.789106492E+00  2.880736486E+02  2.885671012E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.366859861E+01 -1.570953258E+01  1.195329527E+01  2.401044085E+01  7.907449699E-07  0.00000E+00  9.000E+00
       4     1     1     2   512     0  1.847815791E+01  6.109173239E+00  4.635716183E+01  5.027674184E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  1.196375178E+01  1.138946583E+01  3.060599361E+01  3.477898983E+01  1.168007728E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.10716E+00 -1.00000E+00  2.24207E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  5.493388601E+01  5.493388601E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00 -6.272020325E+01  6.272020325E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  7.789150738E+00 -5.009316195E+00 -2.220962774E+01  8.495751348E+01  8.147850891E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.246061564E+01  2.254681719E+01  9.474493924E+00  3.320548532E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.024976638E+01 -2.755613339E+01 -3.168412167E+01  5.175202816E+01  1.507891493E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   501 -1.108140173E+01  1.015309583E+01  1.959414152E+01  2.469439615E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502  3.292250992E+00 -5.143779630E+00 -5.170831021E+00  8.002179636E+00  1.332800375E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.34548E+00 -1.00000E+00  2.55170E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.314513459E+01  6.314513459E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   502     0  0.000000000E+00  0.000000000E+00 -1.185429350E+02  1.185429350E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -7.409389991E+00 -1.365410729E+01  2.759680572E+01  8.457066216E+01  7.841734187E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.734787109E+01  2.087492543E+01  2.851886597E+01  4.468774196E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.993848110E+01 -3.452903271E+01 -9.220602522E-01  3.988292020E+01  5.411809622E-07  0.00000E+00  9.000E+00
       2     1     1     2   502     0  7.085938221E+00  9.320684020E+00  2.114223467E+00  1.189771457E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4     1     1     2   501     0  3.234517694E-01  4.333423267E+00 -8.510882959E+01  8.521969287E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.82482E+01 -1.00000E+00  1.35367E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.995876902E+02  7.995876902E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -7.657541092E+00  7.657541092E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.733827780E+00 -2.751985736E+00  7.014740072E+02  7.056109559E+02  7.594814283E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.085775699E+01 -1.493632162E+01  8.342236433E+01  8.727789297E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.412392921E+01  1.218433589E+01  6.180516429E+02  6.183330630E+02  1.078959322E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0  3.957795532E+00 -2.074985377E+01  5.583972540E+01  5.970172117E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  2.776032248E+00  2.350183950E+01  3.461641648E+01  4.193255424E+01  2.023048729E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.03781E+00 -1.00000E+00  2.62404E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  2.428166431E+01  2.428166431E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.648607341E+02  1.648607341E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.082153952E+00 -6.480155602E+00 -1.540538280E+02  1.739129051E+02  8.043601925E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.083065301E+01 -2.822106444E+01 -1.303688344E+02  1.350051020E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.191280696E+01  2.174090884E+01 -2.368499358E+01  3.890780316E+01  1.066240300E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -5.374082867E-01  1.116208443E+00  4.338721012E+00  4.512120231E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.619562238E+00  5.363947159E+00  9.136037134E+00  1.071737307E+01  1.976862425E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.76230E+00 -1.00000E+00  3.90571E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.647772638E+01  1.647772638E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.665862504E+02  1.665862504E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  6.240658409E+00  4.704900165E+00 -8.523856055E+01  1.174001086E+02  8.034980643E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.605511346E+01 -3.485929268E+01 -2.980892047E+01  4.859535672E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -9.814455051E+00  3.956419285E+01 -5.542964009E+01  6.880475190E+01  6.743495762E-07  0.00000E+00  9.000E+00
      -2     1     1     2     0   511 -7.397488382E+00 -4.377459139E+00 -6.123224161E+01  6.183261595E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  1.156829973E+00 -3.274410260E-01 -3.637721904E+00  3.831252258E+00  7.300048300E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.82771E+00 -1.00000E+00  1.96575E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.146585126E+01  1.146585126E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -3.508362658E+02  3.508362658E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.487807711E+01  8.343823068E-01 -2.616688662E+02  2.755097332E+02  7.885328850E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.345544516E+01 -2.018517088E+01 -3.170024615E+01  4.430016521E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.142263194E+01  2.101955318E+01 -2.299686200E+02  2.312095680E+02  3.814697266E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  2.622674607E+01  3.820662457E+00 -4.117342665E+01  4.896622033E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  8.651331033E+00 -4.655044763E+00 -3.652812167E+01  3.782616347E+01  6.743495762E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.87897E+01 -1.00000E+00  1.39656E-01
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.625988190E+01  6.625988190E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.733678323E+02  1.733678323E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.779998984E+01 -1.072622567E-01  2.961756046E+01  9.150219863E+01  8.199147227E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.427390280E+01  1.220018558E+01  2.642394780E+01  3.789844196E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -5.207389264E+01 -1.230744784E+01  3.193612662E+00  5.360375667E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   512     0  3.700646527E+01 -6.020424511E+00 -6.103238248E+01  7.162873512E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -9.206475433E+00  6.127686768E+00 -7.569312839E+01  7.649678046E+01  3.162979880E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.12657E+01 -1.00000E+00  1.64159E-01
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00  5.377646075E+00  5.377646075E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.500907408E+02  9.500907408E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  8.706389368E+00  7.072539146E+00 -4.967335597E+02  5.019660755E+02  7.141351117E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.013411924E+01 -6.118751581E+00 -3.913146929E+02  3.918800975E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.884050860E+01  1.319129073E+01 -1.054188668E+02  1.100859781E+02  3.015782986E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -1.689705677E+01  1.255247440E+01 -4.050283052E+02  4.055749044E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   502  8.190667404E+00 -1.962501354E+01 -4.295122988E+01  4.792740695E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.84522E+01 -1.00000E+00  1.35286E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.680671579E+01  8.680671579E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.321581591E+02  1.321581591E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.375015081E+01  5.037100067E+01  7.543392008E+00  1.054108271E+02  8.126023815E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -6.169282287E+01  1.211994235E+01  3.548236513E+00  6.297211588E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.794267206E+01  3.825105832E+01  3.995155495E+00  4.243871123E+01  7.574716227E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0  1.020948442E+01 -4.182284690E+01 -6.406259503E+01  7.718419642E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  3.354066639E+01 -8.548153772E+00  1.116775968E+01  3.636985140E+01  2.283721454E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.74914E+01 -1.00000E+00  1.55685E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.703057185E+02  1.703057185E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -2.166649853E+01  2.166649853E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.041852779E+01  3.398530679E+00  1.141292909E+02  1.418853707E+02  7.854378725E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -6.075640264E+00  3.693891662E+01  2.952984572E+01  4.768027636E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.434288753E+01 -3.354038594E+01  8.459944523E+01  9.420509431E+01  9.536743164E-07  0.00000E+00  9.000E+00
       4     1     1     2   501     0  8.118974677E+00 -9.173404999E+00  1.788839943E+01  2.168095808E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   502  2.229955311E+01  5.774874319E+00  1.662152961E+01  2.840588828E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.67677E+01 -1.00000E+00  1.56523E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  5.846545789E+00  5.846545789E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.864475956E+02  6.864475956E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.740792217E+01 -1.005232275E+01 -5.701342438E+02  5.758274197E+02  7.823091731E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.835988095E+01  1.567923507E+00 -5.468888864E+02  5.476259630E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.095195879E+01 -1.162024626E+01 -2.324535741E+01  2.820145679E+01  6.743495762E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0  1.880586214E+01 -6.617413462E+00 -5.346482990E+01  5.706083287E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -1.397939970E+00  1.666973621E+01 -5.700197618E+01  5.940588884E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.16779E+01 -1.00000E+00  1.88225E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.341718291E+01  1.341718291E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.740162917E+02  1.740162917E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.821255667E+00  1.135622943E+01 -1.352515690E+02  1.570636183E+02  7.889096795E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.181465946E+01  3.473510046E+01 -3.912066951E+01  5.668186089E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.699340379E+01 -2.337887103E+01 -9.613089954E+01  1.003817575E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -2.455470880E+00 -7.040597304E+00 -7.286727889E+00  1.042572544E+01  2.384185791E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502  7.276726546E+00 -4.315632127E+00 -1.806081185E+01  1.994413083E+01  2.384185791E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.34412E+00 -1.00000E+00  2.83128E-01
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00  5.446479462E+01  5.446479462E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.866324943E+01  7.866324943E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.156014744E+00 -1.664193649E+01 -5.388873082E+01  9.757973294E+01  7.939117334E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -6.510921359E+00 -7.823694127E+00  2.038427893E+01  2.278422951E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.549066145E-01 -8.818242368E+00 -7.427300975E+01  7.479550344E+01  1.907348633E-06  0.00000E+00  9.000E+00
       3     1     1     2   502     0  6.943140163E+00  1.339177542E+01  2.799175596E+01  3.179756667E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -7.871254196E-01  3.250161078E+00  1.698520057E+00  3.750744438E+00  4.712160915E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.20720E+00 -1.00000E+00  2.06164E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  2.715594936E+02  2.715594936E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.919711548E+01  1.919711548E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.919960788E+00 -1.862785962E+01  7.153754647E+01  1.088028854E+02  7.961409563E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.228985451E+01 -1.276907034E+01  8.408067444E+01  8.592816474E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.820981530E+01 -5.858789285E+00 -1.254312797E+01  2.287472064E+01  6.307962682E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   512  7.323091162E-01  7.408321374E+00  5.078311272E+01  5.132586131E+01  1.168007728E-06  0.00000E+00  9.000E+00
      21     1     1     2   512   502  5.187651672E+00  1.121953825E+01  1.300417189E+02  1.306278624E+02  1.907348633E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.39334E+00 -1.00000E+00  2.32826E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  6.394967272E+00  6.394967272E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.481150475E+02  3.481150475E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  2.366724805E+00  4.717294933E+00 -3.403382554E+02  3.488908045E+02  7.659511160E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.841759371E+01  9.170777032E-02 -2.755534424E+02  2.770149231E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  3.078431851E+01  4.625587163E+00 -6.478481309E+01  7.187588142E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.918125225E-01 -5.517097641E-01 -6.319947659E-01  8.605771852E-01  2.107342426E-08  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -2.174912283E+00 -4.165585169E+00 -7.498300068E-01  4.758633026E+00  1.273155770E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.28075E+01 -1.00000E+00  1.61756E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  3.787882210E+02  3.787882210E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -1.154966126E+01  1.154966126E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  9.310850480E+00  3.215590954E+01  2.187121614E+02  2.357096997E+02  8.126105174E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.210743326E+01 -1.744553629E+01  1.466657718E+02  1.481950921E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.796582776E+00  4.960144583E+01  7.204638958E+01  8.751460767E+01  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -4.356226263E+00 -9.893106579E+00  1.043804732E+02  1.049387128E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -4.954624217E+00 -2.226280296E+01  4.414592510E+01  4.968946970E+01  1.168007728E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.72072E+01 -1.00000E+00  1.71901E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  5.497983822E+01  5.497983822E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.073772631E+02  2.073772631E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.092384027E+01 -1.599514916E+01 -1.883841140E+02  2.059957836E+02  8.105870323E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.217629640E+01 -1.823626499E+01 -5.930324073E+01  6.989098491E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -4.310013667E+01  2.241115828E+00 -1.290808733E+02  1.361047987E+02  1.907348633E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  2.360595965E+01  4.365314042E+00  2.935312972E+01  3.791969834E+01  7.539457465E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0 -1.268211939E+01  1.162983511E+01  6.633559362E+00  1.844161942E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.51359E+01 -1.00000E+00  1.48388E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  7.414010844E+01  7.414010844E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.545914187E+01  4.545914187E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.280623503E+01  7.132232668E+00  1.397048266E+01  8.322920821E+01  8.072829935E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.272003652E+01 -6.496492031E+00  4.613551796E+01  4.829585650E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  8.619851463E-02  1.362872470E+01 -3.216503529E+01  3.493335172E+01  8.259061849E-07  0.00000E+00  9.000E+00
       2     1     1     2   511     0  1.191417888E+00 -1.255063749E+01 -3.194930954E+00  1.300559733E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -1.399765292E+01  5.418404822E+00  1.790541485E+01  2.336444477E+01  7.152557373E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.21838E+00 -1.00000E+00  2.87774E-01
      21    -1     0     0   512   501  0.000000000E+00  0.000000000E+00  3.925170601E+01  3.925170601E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.791817551E+02  1.791817551E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.325377962E+00 -3.790915455E+00 -1.653948874E+02  1.838463795E+02  8.015138218E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.080688558E+01  2.030691317E+01 -1.993949320E+01  3.525451176E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.848150762E+01 -2.409782862E+01 -1.454553942E+02  1.485918678E+02  3.303624740E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0 -4.974865726E+00  1.963837669E+00 -2.870149837E+00  6.069901768E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   502  2.649487764E+00  1.827077786E+00  2.833498808E+01  2.851717988E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.12018E+01 -1.00000E+00  1.64264E-01
       3    -1     0     0   502     0  0.000000000E+00  0.000000000E+00  2.024107321E+01  2.024107321E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.516637791E+02  3.516637791E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  1.930325064E+01  1.964052157E+00 -3.247431852E+02  3.352084914E+02  8.080917862E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.313628293E+01 -7.258276807E+00 -3.130506223E+02  3.148831338E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -1.383303228E+01  9.222328964E+00 -1.169256299E+01  2.032535764E+01  6.078504936E-07  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -3.311110029E+00  1.195605295E+01 -9.058861560E+00  1.536143302E+01  0.000000000E+00  0.00000E+00  9.000E+00
       3     1     1     2   501     0 -1.599214061E+01 -1.392010511E+01  2.379340875E+00  2.133492795E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.12228E+01 -1.00000E+00  1.90083E-01
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  3.652177716E+01  3.652177716E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -9.189121792E+01  9.189121792E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.261581475E-01  2.349438825E+01 -4.468499763E+01  9.332715963E+01  7.848911323E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.058188516E+00  3.323499598E+01  1.234602127E+01  3.546983172E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.320303683E-01 -9.740607731E+00 -5.703101890E+01  5.785732792E+01  1.507891493E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  2.316121275E+00 -1.237091745E+01  6.803102666E+00  1.430685927E+01  6.307962682E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -1.489963127E+00 -1.112347080E+01 -1.748754580E+01  2.077897618E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.58802E+00 -1.00000E+00  1.97834E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.052585537E+01  1.052585537E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.274968241E+02  3.274968241E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.843745881E+01  1.730853393E+01 -2.836070153E+02  2.958906739E+02  8.049115812E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.579054882E+00  4.127050077E+01 -8.411907868E+01  9.376610937E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.201651369E+01 -2.396196683E+01 -1.994879366E+02  2.021245645E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   501     0  4.964775687E+00 -2.300857042E+00 -8.619438023E+00  1.020968425E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   502  1.347268313E+01 -1.500767689E+01 -2.474451542E+01  3.192232134E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.57878E+01 -1.00000E+00  1.75268E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.713118327E+02  1.713118327E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -5.219979433E+01  5.219979433E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.273169027E+01  4.678769338E+00  1.530471572E+02  1.729649074E+02  7.943198371E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.328166351E+00 -2.964975280E+00  1.604146806E+02  1.605668288E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  6.403523919E+00  7.643744618E+00 -7.367523406E+00  1.239807854E+01  1.460009660E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -5.817018673E+00 -1.466897464E+01 -3.495732735E+01  3.835402533E+01  1.261592536E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -6.914671596E+00  9.990205304E+00  1.022208556E+00  1.219269435E+01  2.169641819E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.04353E+01 -1.00000E+00  1.65560E-01
      -2    -1     0     0     0   511  0.000000000E+00  0.000000000E+00  9.093697151E+00  9.093697151E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -8.585557202E+02  8.585557202E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.208866507E+01  2.840846583E+00 -3.303179943E+02  3.408313389E+02  8.099410273E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -4.743020126E+01  1.005714316E+01 -2.786069627E+02  2.827942889E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.534153618E+01 -7.216296580E+00 -5.171103159E+01  5.803705007E+01  2.780414531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  1.895249658E+00 -5.975523936E+00 -4.956113420E+02  4.956509872E+02  1.078959322E-05  0.00000E+00  9.000E+00
      21     1     1     2   502   511  2.019341542E+01  3.134677353E+00 -2.353268676E+01  3.116709121E+01  4.768371582E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.04930E+00 -1.00000E+00  2.00848E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  4.171186439E+02  4.171186439E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.163661856E+01  1.163661856E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.463883776E+01  1.076405577E+01  1.337359432E+02  1.562769855E+02  7.878472713E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.337694343E+00  3.811732908E+01  3.358126154E+01  5.090945007E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.797653211E+01 -2.735327331E+01  1.001546816E+02  1.053675354E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -4.310701844E+00 -1.855815428E+00  1.281485287E+02  1.282344400E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.032813592E+01 -8.908240341E+00  1.435975535E+02  1.442438370E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.05202E+01 -1.00000E+00  1.93188E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  8.374691570E+01  8.374691570E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -8.742633688E+01  8.742633688E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.275127447E+00  5.055102653E+00  6.216601727E+01  1.028537231E+02  8.175294731E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.900418025E+01 -3.018919020E+01  1.131146852E+01  3.742319324E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.127930770E+01  3.524429285E+01  5.085454876E+01  6.543052991E+01  9.536743164E-07  0.00000E+00  9.000E+00
      -3     1     1     2     0   501  5.882426540E+00  4.827283356E+00 -2.435305369E+01  2.551424760E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   502 -3.607299092E+00 -9.882386009E+00 -4.149238476E+01  4.280528183E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.52117E+01 -1.00000E+00  1.76765E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  3.835489631E+00  3.835489631E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.907772934E+03  2.907772934E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.573350714E+01 -1.864958717E+00 -2.846594323E+03  2.847785356E+03  8.081567071E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.868282692E+01  5.411561286E+00 -5.706326833E+02  5.713787263E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.441633406E+01 -7.276520004E+00 -2.275961640E+03  2.276406630E+03  3.051757813E-05  0.00000E+00  9.000E+00
      21     1     1     2   501   502  5.639043323E-01  2.996171103E+00  1.244401454E+00  3.292956780E+00  2.547314172E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  1.516960281E+01 -1.131212386E+00 -5.858752242E+01  6.053011048E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.47174E+01 -1.00000E+00  1.78117E-01
       1    -1     0     0   502     0  0.000000000E+00  0.000000000E+00  8.824883614E+02  8.824883614E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.329590591E+02  1.329590591E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.241751379E+00  4.924165809E+00 -1.174782665E+02  1.469420282E+02  8.806849716E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.580728593E+01  3.294543078E+01 -9.676648303E+01  1.054285049E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.256553455E+01 -2.802126497E+01 -2.071178351E+01  4.151352329E+01  1.143415337E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  5.694607563E+00 -1.661795989E+01  1.132632663E+02  1.146174186E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   501     0 -8.936358942E+00  1.169379408E+01  7.537443025E+02  7.538879737E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.56557E+00 -1.00000E+00  1.97954E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  7.820828047E+02  7.820828047E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.351635609E+00  4.351635609E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.537118156E+01  2.032909111E+01  5.891821629E+02  5.953645181E+02  8.169298086E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.869223718E+01  6.217297174E+00  3.141236958E+02  3.179359763E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.332105562E+01  1.411179394E+01  2.750584672E+02  2.774285419E+02  3.814697266E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   511  1.565872659E+01 -1.602770239E+01  1.028499992E+02  1.052625541E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -2.875450338E-01 -4.301388717E+00  8.569900694E+01  8.580736809E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.15104E+01 -1.00000E+00  1.88896E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  5.274630697E+00  5.274630697E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.892173971E+02  9.892173971E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.755351804E+01  2.028374633E+01 -7.121590673E+02  7.174025391E+02  7.953137325E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.315932688E+01 -1.269215259E+01 -1.459616994E+02  1.502180062E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -5.605808838E+00  3.297589892E+01 -5.661973679E+02  5.671845330E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -2.035763942E+01 -2.926760765E+01 -2.492437166E+02  2.517805723E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -7.195878624E+00  8.983861320E+00 -2.253998251E+01  2.530891631E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.99928E+00 -1.00000E+00  2.63380E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  5.327832547E+01  5.327832547E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.088235892E+02  7.088235892E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  4.165459326E+00  2.541548576E+01 -5.806751141E+02  5.867176470E+02  7.994192347E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.952955117E+01  1.860526260E+00 -2.180864962E+02  2.216478441E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.536409184E+01  2.355495951E+01 -3.625886179E+02  3.650698029E+02  5.394796609E-06  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -3.216092818E+00 -2.153051964E+01 -1.240986542E+02  1.259935812E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -9.493665072E-01 -3.884966123E+00  4.922850454E+01  4.939068655E+01  1.784161275E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.82687E+01 -1.00000E+00  1.69637E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  2.912672047E+02  2.912672047E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00 -4.019771503E+01  4.019771503E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.333402036E+01  2.310257402E+00  2.075346785E+02  2.290280852E+02  8.082923997E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.908554282E+01 -1.267798242E+01  4.920834298E+01  5.428121408E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -7.241956317E+01  1.498823982E+01  1.583263355E+02  1.747468712E+02  1.907348633E-06  0.00000E+00  9.000E+00
      -2     1     1     2     0   501  7.092780682E+01 -7.229857853E+00  2.291289840E+01  7.488675142E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.759378647E+01  4.919600450E+00  2.062191282E+01  2.755008311E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.68139E+00 -1.00000E+00  4.02068E-01
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00  1.647563069E+02  1.647563069E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -4.677471368E+01  4.677471368E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  5.963657990E+00  1.063738560E-01  1.419274631E+02  1.644541222E+02  8.286239805E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  2.812042130E+01  2.928774691E+01  4.387285086E+01  5.977756482E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -2.215676331E+01 -2.918137305E+01  9.805461222E+01  1.046765574E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1     1     1     2     0   501 -6.938320332E+00 -1.476452786E+00 -3.509345536E+01  3.580322347E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   511     0  9.746623420E-01  1.370078930E+00  1.114758555E+01  1.127367494E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.94430E+01 -1.00000E+00  1.53572E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.232055189E+03  1.232055189E+03  0.000000000E+00  0.00000E+00  9.000E+00
      -2    -1     0     0     0   501  0.000000000E+00  0.000000000E+00 -1.679042391E+01  1.679042391E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.541162365E-02 -3.198561593E+01  1.126782736E+03  1.130082265E+03  8.014678128E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.350913555E+01 -1.498735518E+01  6.462378718E+01  6.770045368E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.358454718E+01 -1.699826075E+01  1.062158948E+03  1.062381811E+03  2.157918644E-05  0.00000E+00  9.000E+00
       1     1     1     2   502     0 -2.124344335E+01  1.167803133E+01  8.584536153E+01  8.920250220E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -2     1     1     2     0   502  2.131885497E+01  2.030758459E+01  2.636667463E+00  2.956084547E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.76466E+00 -1.00000E+00  2.69720E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  5.165896372E+00  5.165896372E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -6.945623016E+02  6.945623016E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -5.432373398E+00 -5.139490833E-01 -6.676947853E+02  6.725350556E+02  8.035732625E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.496143840E+00  2.720700011E+01 -8.845866373E+01  9.258178426E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -7.928517238E+00 -2.772094919E+01 -5.792361216E+02  5.799532714E+02  1.321449896E-05  0.00000E+00  9.000E+00
      21     1     1     2   511   502  5.379101399E+00  9.758720657E-01  1.960518670E-02  5.466940873E+00  1.806556805E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   511  5.327199937E-02 -4.619229824E-01 -2.172122504E+01  2.172620141E+01  2.384185791E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.27795E+02 -1.00000E+00  1.09611E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.145208899E+02  2.145208899E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.121298071E+02  1.121298071E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.508227156E+00  1.304735153E+01  2.037878197E+02  2.197222532E+02  8.098046422E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.093272800E+01 -4.044855261E-01  1.959904495E+02  1.971055529E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.642450084E+01  1.345183706E+01  7.797370251E+00  2.261670026E+01  3.153981341E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0  2.548401400E+00  2.660237031E-01  1.623330161E+00  3.033202782E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512  1.959825757E+00 -1.331337523E+01 -1.030200671E+02  1.038952410E+02  1.427329020E-05  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.45006E+00 -1.00000E+00  2.52917E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.383300753E+02  2.383300753E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.135050195E+01  2.135050195E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.131324907E+01  1.045250618E+01  2.258730795E+02  2.397491189E+02  7.889073098E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.909337299E+01 -3.113577111E-02  1.011553457E+01  2.160745014E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.040662207E+01  1.048364195E+01  2.157575450E+02  2.181416687E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   512     0  1.243160297E+01 -7.128973502E+00 -7.144907778E+00  1.601301729E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -1.118353891E+00 -3.323532675E+00 -1.748598378E+00  3.918441164E+00  4.693274423E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.20829E+01 -1.00000E+00  1.86661E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.208751805E+02  1.208751805E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -2.983186925E+01  2.983186925E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.296417681E+00  2.985902336E+01  7.734996200E+01  1.145446050E+02  7.896215723E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.702783804E+01  3.868891395E+01  1.888661209E+01  5.083345560E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.373142036E+01 -8.829890584E+00  5.846334991E+01  6.371114944E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   502 -9.037761320E+00 -1.731777671E+01  6.374685692E+00  2.054806895E+01  1.445335824E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   512  5.741343638E+00 -1.254124665E+01  7.318663535E+00  1.561437575E+01  9.424321831E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.77593E+00 -1.00000E+00  3.07337E-01
      21    -1     0     0   512   502  0.000000000E+00  0.000000000E+00  7.504647910E+00  7.504647910E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -3.310815040E+02  3.310815040E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.321410793E+00  4.074769306E+00 -1.986834128E+02  2.117202645E+02  7.295708574E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.096028255E+01 -1.320356516E+01 -5.579290406E+01  6.515920021E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  2.763887176E+01  1.727833447E+01 -1.428905088E+02  1.465610643E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  1.200781079E+00 -5.866064073E+00 -1.236990837E+02  1.238439175E+02  1.907348633E-06  0.00000E+00  9.000E+00
       3     1     1     2   512     0  2.120629715E+00  1.791294767E+00 -1.194359505E+00  3.021969880E+00  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.70489E+00 -1.00000E+00  2.09760E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  6.035641878E+00  6.035641878E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00 -7.544226850E+02  7.544226850E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -8.321244663E+00 -3.386680230E+01 -3.872646383E+02  3.963821142E+02  7.699790209E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.617467099E+01 -2.216478175E+01 -3.791063328E+02  3.800980257E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  7.853426329E+00 -1.170202054E+01 -8.158305520E+00  1.628408852E+01  1.192092896E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.573847931E+01  3.178114621E+01 -2.290545326E+02  2.317837783E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -7.417234642E+00  2.085656085E+00 -1.320678722E+02  1.322924344E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.70748E+01 -1.00000E+00  1.46883E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  8.135277696E+02  8.135277696E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -5.581414466E+00  5.581414466E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.839078571E+01 -4.324026757E-01  7.312619027E+02  7.362665190E+02  8.085909351E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.830670951E+01  4.334294740E+00  3.354308898E+01  3.845855617E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.008407620E+01 -4.766697416E+00  6.977188137E+02  6.978079629E+02  0.000000000E+00  0.00000E+00  9.000E+00
       5     1     1     2   501     0 -4.639779253E+00 -1.791888248E+00  3.007330328E+01  3.048183041E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -5     1     1     2     0   502 -2.375100646E+01  2.224290924E+00  4.661114912E+01  5.236083460E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.62395E+01 -1.00000E+00  1.74150E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  2.964098019E+02  2.964098019E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   512  0.000000000E+00  0.000000000E+00 -7.692039679E+01  7.692039679E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.032246271E+01 -4.286330303E+00  2.184372822E+02  2.411689634E+02  8.240418979E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  9.534572868E+00  3.023966990E+00  1.190383080E+02  1.194578220E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.985703558E+01 -7.310297293E+00  9.939897423E+01  1.217111414E+02  3.015782986E-06  0.00000E+00  9.000E+00
       1     1     1     2   502     0  5.101167037E+01 -9.018910241E+00  5.515854001E+01  7.567030984E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   512  9.310792341E+00  1.330524054E+01 -5.410641715E+01  5.649092544E+01  1.168007728E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  4.45656E+00 -1.00000E+00  2.52780E-01
      21    -1     0     0   502   511  0.000000000E+00  0.000000000E+00  1.655697462E+01  1.655697462E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.109596640E+02  4.109596640E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.316073584E+00  4.130153540E+00 -4.010144650E+02  4.084605982E+02  7.740654025E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.615727639E+01 -3.109959080E+01 -1.420099527E+02  1.462705329E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.047334997E+01  3.522974434E+01 -2.590045123E+02  2.621900653E+02  0.000000000E+00  0.00000E+00  9.000E+00
       1     1     1     2   502     0  6.085449183E+00 -3.989303378E-02  1.114552295E+01  1.269869934E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   501   511 -1.769375599E+00 -4.090260507E+00 -4.533747345E+00  6.357341112E+00  1.685873940E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.07288E+00 -1.00000E+00  2.93604E-01
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.957106136E+01  3.957106136E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   502     0  0.000000000E+00  0.000000000E+00 -6.954336850E+02  6.954336850E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  9.378998534E-01 -4.235795174E+00 -2.041716414E+00  8.055752281E+01  8.041470175E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.161044460E+01 -1.529187295E+01  2.989352026E+01  3.993088088E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.254834445E+01  1.105607777E+01 -3.193523667E+01  4.062664193E+01  7.539457465E-07  0.00000E+00  9.000E+00
       2     1     1     2   502     0 -3.601295271E+00  5.768415400E+00 -3.706486956E+01  3.768353087E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2     1     1     2   501     0  2.663395417E+00 -1.532620226E+00 -6.167560376E+02  6.167636926E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.35443E+01 -1.00000E+00  1.27421E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  6.983707792E+02  6.983707792E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -7.413574084E+00  7.413574084E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.630051198E+00  8.872955011E+00  2.784038509E+02  2.899781280E+02  8.054007664E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.887245154E+01 -6.881101617E+00  4.573288228E+01  5.452031309E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.250250274E+01  1.575405663E+01  2.326709686E+02  2.354578149E+02  2.697398305E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -9.791142485E+00  1.672908296E-01  1.493749158E+01  1.786121810E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  1.342119368E+01 -9.040245841E+00  3.976158626E+02  3.979450071E+02  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.29664E+00 -1.00000E+00  2.05560E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.111005884E+02  1.111005884E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -6.585856677E+01  6.585856677E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.509229501E+01 -1.554328617E+01  8.750087566E+01  1.180444242E+02  7.621490490E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  2.137592518E+01 -1.981691382E+00  9.764728851E+01  9.997924901E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.283630164E+00 -1.356159479E+01 -1.014641285E+01  1.806517520E+01  5.840038640E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -7.514570679E+00  1.216506933E+01  1.499053012E+00  1.437723354E+01  8.360600554E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -7.577724333E+00  3.378216845E+00 -4.375790701E+01  4.453749747E+01  8.259061849E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.92076E+00 -1.00000E+00  2.65424E-01
       4    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  1.961092741E+01  1.961092741E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.106036505E+02  1.106036505E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.279542641E+00 -3.606631198E+00 -8.522498473E+01  1.180131197E+02  8.148641121E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.134118393E+01 -2.240544575E+01 -9.024569171E+01  9.367449666E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.462072657E+01  1.879881455E+01  5.020706972E+00  2.433862306E+01  6.951036328E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -3.066554458E-01  5.191423452E+00 -6.382345633E+00  8.232815485E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  3.586198087E+00 -1.584792254E+00  6.146072385E-01  3.968642749E+00  7.107400905E-08  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.08141E+01 -1.00000E+00  1.91852E-01
       3    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.030871269E+01  3.030871269E+01  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -6.799326813E+01  6.799326813E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -7.674574500E+00 -2.015569503E+00 -3.974082384E+01  8.335241966E+01  7.283770432E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.572122795E+01  6.570053001E+00  1.106237357E+01  2.875975092E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  1.804665345E+01 -8.585622504E+00 -5.080319740E+01  5.459266875E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   502  1.355859135E+00 -1.451976008E+00  6.286026958E+00  6.592474743E+00  8.215933294E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   512  6.318715365E+00  3.467545511E+00 -4.229758567E+00  8.357086410E+00  5.161913656E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.38859E+01 -1.00000E+00  1.80551E-01
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  8.325406268E+01  8.325406268E+01  0.000000000E+00  0.00000E+00  9.000E+00
       4    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -3.485126226E+01  3.485126226E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.407094921E+00  1.813152615E+01  5.281113360E+01  9.739570328E+01  7.978831386E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.165393223E+01  2.546653033E+01  7.039558027E+01  7.576210151E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.024683731E+01 -7.335004170E+00 -1.758444667E+01  2.163360178E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -6.108211883E-01 -4.268487668E+00 -5.255348302E+00  6.797924336E+00  2.457562462E-07  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -7.962737323E-01 -1.386303849E+01  8.470151244E-01  1.391169733E+01  2.765761494E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.99553E+01 -1.00000E+00  1.66408E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  6.961016890E+00  6.961016890E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.689176039E+02  4.689176039E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -2.203826110E+01  5.642563928E+00 -4.157441835E+02  4.243569672E+02  8.196393109E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  1.107990806E+01 -2.579250309E+01 -2.741241524E+02  2.755577407E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.311816916E+01  3.143506701E+01 -1.416200311E+02  1.487992264E+02  2.697398305E-06  0.00000E+00  9.000E+00
       4     1     1     2   501     0  2.552581844E-02  9.220548682E-03 -4.857314602E-03  2.757135162E-02  0.000000000E+00  0.00000E+00  9.000E+00
      -4     1     1     2     0   502  2.201273528E+01 -5.651784477E+00 -4.620754620E+01  5.149408226E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.56063E+00 -1.00000E+00  3.19265E-01
       2    -1     0     0   512     0  0.000000000E+00  0.000000000E+00  2.819399946E+02  2.819399946E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -8.443703361E+00  8.443703361E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.266435466E+01  2.438035673E+00  2.455758253E+02  2.579586725E+02  7.790289347E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  1.327372808E+01  8.229378589E-01  9.568333473E-01  1.333358969E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -6.093734218E-01  1.615097814E+00  2.446189920E+02  2.446250828E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -1.020272387E+01 -1.732927390E+00  1.023517892E+01  1.455532546E+01  6.637292341E-07  0.00000E+00  9.000E+00
      21     1     1     2   512   501 -2.461630787E+00 -7.051082826E-01  1.768528700E+01  1.786970006E+01  2.384185791E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.08261E+00 -1.00000E+00  2.93198E-01
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00  5.460927679E+00  5.460927679E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.761069266E+02  4.761069266E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  5.952914979E+00 -4.427671173E+00 -3.564566789E+02  3.655732538E+02  8.079231693E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.451269483E+01  2.462660610E+01 -1.045439317E+02  1.101670350E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.046560981E+01 -2.905427728E+01 -2.519127472E+02  2.554062188E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -8.288572116E+00  2.415905506E+00 -1.116979008E+02  1.120310586E+02  2.336015456E-06  0.00000E+00  9.000E+00
      21     1     1     2   502   512  2.335657137E+00  2.011765667E+00 -2.491419203E+00  3.963541977E+00  1.460009660E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.45427E+01 -1.00000E+00  1.78612E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  5.479357911E+02  5.479357911E+02  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -7.314584909E+01  7.314584909E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -1.994965087E+01  8.604836837E+00 -4.084751066E+01  9.193847213E+01  7.944892538E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -9.659947060E+00  1.448979161E+01  2.195728859E+01  2.802483114E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -1.028970381E+01 -5.884954772E+00 -6.280479925E+01  6.391364100E+01  9.536743164E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  2.312281146E+01  5.587423525E+00  1.463496764E+01  2.792966146E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -3.173160582E+00 -1.419226036E+01  5.010024850E+02  5.012135066E+02  7.629394531E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.52764E+01 -1.00000E+00  1.76593E-01
      21    -1     0     0   511   501  0.000000000E+00  0.000000000E+00  5.235534024E+00  5.235534024E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.550073967E+03  1.550073967E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -6.823959629E+00 -5.713577177E+00 -1.469754924E+03  1.471891102E+03  7.876972803E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  3.413703023E+01  8.826229582E+00 -7.451233757E+02  7.459571597E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -4.096098986E+01 -1.453980676E+01 -7.246315482E+02  7.259339428E+02  1.078959322E-05  0.00000E+00  9.000E+00
       1     1     1     2   502     0  1.480186020E+01 -7.314189533E+00 -5.887169202E+01  6.114301723E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   502 -7.977900575E+00  1.302776671E+01 -1.621181752E+01  2.227538171E+01  6.307962682E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.05873E+00 -1.00000E+00  2.14971E-01
      -1    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  6.737672198E+00  6.737672198E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -4.524192944E+02  4.524192944E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.691112730E+00 -8.963841392E+00 -2.425663466E+02  2.557891133E+02  8.066243017E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.120655695E+01 -1.461555448E+01 -6.846164902E+00  1.964869781E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.289766968E+01  5.651713093E+00 -2.357201817E+02  2.361404155E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   502  4.709060025E-01  8.532598575E-01 -5.918826950E+01  5.919629255E+01  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   512 -2.162018732E+00  8.110581534E+00 -1.439270061E+02  1.441715608E+02  2.697398305E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.35012E+01 -1.00000E+00  1.60750E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  6.057186919E+02  6.057186919E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.326206306E+01  1.326206306E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -3.317956996E+01 -3.866775938E+01  1.979971821E+02  2.196300329E+02  8.023956490E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.492960673E+01 -2.831968931E+01  5.754458373E+01  7.830742928E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  1.175003677E+01 -1.034807008E+01  1.404525984E+02  1.413226037E+02  1.907348633E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   511  3.065380240E+01  1.636248691E+01  3.106430509E+02  3.125803763E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  2.525767565E+00  2.230527247E+01  8.381639585E+01  8.677034572E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  5.93483E+00 -1.00000E+00  2.26132E-01
      21    -1     0     0   512   501  0.000000000E+00  0.000000000E+00  6.879816400E+00  6.879816400E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -3.608593209E+02  3.608593209E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  4.048709249E+00  9.189606503E+00 -3.357718436E+02  3.454096507E+02  8.040059016E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  4.888326520E+00 -2.936527517E+01 -2.447724165E+02  2.465760552E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -8.396172711E-01  3.855488167E+01 -9.099942715E+01  9.883359550E+01  1.907348633E-06  0.00000E+00  9.000E+00
      -4     1     1     2     0   501 -5.708133778E+00 -3.491487554E+00 -1.201192348E+01  1.374989390E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   502  1.659424530E+00 -5.698118950E+00 -6.195737395E+00  8.579592718E+00  1.192092896E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.63277E+00 -1.00000E+00  2.10307E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  9.773768468E+01  9.773768468E+01  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   511     0  0.000000000E+00  0.000000000E+00 -1.155208947E+02  1.155208947E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  1.119030568E+00  6.952198593E+00 -7.348975012E+01  1.093056597E+02  8.060644257E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0  6.967821397E+00 -6.420736324E+00  1.602074857E+01  1.861291957E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -5.848790829E+00  1.337293492E+01 -8.951049870E+01  9.069274017E+01  9.536743164E-07  0.00000E+00  9.000E+00
       1     1     1     2   502     0  6.411401072E+00 -5.706518766E+00  7.898760117E+01  7.945257427E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501 -7.530431640E+00 -1.245679827E+00 -2.328106111E+01  2.450034541E+01  3.371747881E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.62462E+01 -1.00000E+00  1.74134E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.770226637E+02  1.770226637E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   511   502  0.000000000E+00  0.000000000E+00 -4.349311696E+01  4.349311696E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -2.606889131E+01  1.378878880E+01  1.529951604E+02  1.754728085E+02  8.070606941E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -5.441681869E-02 -2.219098893E+01  7.610733620E+00  2.345988528E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -2.601447450E+01  3.597977773E+01  1.453844268E+02  1.520129233E+02  2.697398305E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  1.773421835E+01  1.565395176E-01 -2.236163975E+01  2.854067164E+01  1.192092896E-06  0.00000E+00  9.000E+00
       1     1     1     2   511     0  8.334672959E+00 -1.394532831E+01  2.896026129E+00  1.650230052E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.78713E+01 -1.00000E+00  1.46297E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.019476341E+02  1.019476341E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -3.747392807E+01  3.747392807E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -4.652326930E+00  8.068503419E+00  7.443916604E+01  1.099049667E+02  8.031915945E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -9.631887842E-01 -1.926479419E+01 -9.535300002E+00  2.151701593E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.689138146E+00  2.733329761E+01  8.397446605E+01  8.838795080E+01  2.336015456E-06  0.00000E+00  9.000E+00
       1     1     1     2   512     0  1.175414970E+01  1.866054702E+00  2.396131820E+00  1.214016651E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   512 -7.101822768E+00 -9.934558121E+00 -1.236159180E+01  1.737642896E+01  1.079486029E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  7.32461E+00 -1.00000E+00  2.12739E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  7.520092999E+00  7.520092999E+00  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -9.274520419E+02  9.274520419E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.724940130E+01 -7.082429879E-02 -8.852169576E+02  8.892653634E+02  8.298359874E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.366221464E+01 -1.670701175E+01 -8.422250927E+02  8.427230455E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  6.412813335E+00  1.663618745E+01 -4.299186488E+01  4.654231788E+01  1.066240300E-06  0.00000E+00  9.000E+00
       2     1     1     2   511     0  2.031344566E+01 -3.969796139E+00 -1.556622388E+01  2.589792814E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -3.064044361E+00  4.040620438E+00 -1.914876743E+01  1.980884337E+01  3.371747881E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.20844E+01 -1.00000E+00  1.86656E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.203810834E+02  1.203810834E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -2.314334339E+01  2.314334339E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.065705068E+00 -6.151798990E+00  1.040667513E+02  1.321951977E+02  8.123077234E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.713953184E+01  8.839716966E+00  4.222335992E+01  5.692361149E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.020523691E+01 -1.499151596E+01  6.184339141E+01  7.527158618E+01  9.536743164E-07  0.00000E+00  9.000E+00
       1     1     1     2   511     0  3.906891493E-01  3.029172189E+00  1.038301659E-02  3.054280598E+00  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -3.456394217E+00  3.122626801E+00 -6.839394312E+00  8.274948561E+00  1.253115895E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.43421E+00 -1.00000E+00  3.27265E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  3.185297150E+00  3.185297150E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -1    -1     0     0     0   512  0.000000000E+00  0.000000000E+00 -7.780687930E+02  7.780687930E+02  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0 -7.581082735E+00  3.088887175E+00 -5.418007696E+02  5.476075088E+02  7.911318323E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -4.384256125E+00 -3.030525921E+01 -4.245285372E+02  4.256314243E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0 -3.196826610E+00  3.339414638E+01 -1.172722324E+02  1.219760846E+02  1.348699152E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  6.751278817E+00 -8.004860255E-01 -4.187004357E+01  4.241840511E+01  9.536743164E-07  0.00000E+00  9.000E+00
      21     1     1     2   502   512  8.298039174E-01 -2.288401149E+00 -1.912126827E+02  1.912281762E+02  2.697398305E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  1.76798E+01 -1.00000E+00  1.70868E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  1.378688948E+02  1.378688948E+02  0.000000000E+00  0.00000E+00  9.000E+00
      -3    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -2.427178563E+01  2.427178563E+01  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  7.092357789E+00 -2.601217798E+00  5.852581019E+01  9.900918166E+01  7.950144477E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -2.451457225E+01  2.043463552E+01  4.377581629E+00  3.221337924E+01  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.160693003E+01 -2.303585331E+01  5.414822856E+01  6.679580242E+01  6.743495762E-07  0.00000E+00  9.000E+00
      -4     1     1     2     0   511 -7.830618043E+00  3.512945029E+00  5.869678926E+01  5.932092743E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   511   501  7.382602542E-01 -9.117272316E-01 -3.625490243E+00  3.810571381E+00  7.177349674E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  2.84347E+01 -1.00000E+00  1.54638E-01
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00  9.498129111E+00  9.498129111E+00  0.000000000E+00  0.00000E+00  9.000E+00
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -1.167638442E+03  1.167638442E+03  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  3.443078137E+01 -1.338413820E+01 -1.108222268E+03  1.111765457E+03  8.063015656E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -1.404094239E+01 -3.057902430E+01 -2.937416593E+02  2.956626240E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  4.847172376E+01  1.719488610E+01 -8.144806084E+02  8.161028327E+02  1.078959322E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -1.987836704E+01  6.777995425E+00 -4.320033102E+01  4.803497995E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511 -1.455241434E+01  6.606142772E+00 -6.717714620E+00  1.733613495E+01  1.719260824E-06  0.00000E+00  9.000E+00


      7    666  1.00000E+00  8.30494E+00 -1.00000E+00  2.05504E-01
       2    -1     0     0   501     0  0.000000000E+00  0.000000000E+00  1.102641309E+03  1.102641309E+03  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   502   501  0.000000000E+00  0.000000000E+00 -1.967408323E+00  1.967408323E+00  0.000000000E+00  0.00000E+00  9.000E+00
      24     2     1     2     0     0  2.386755991E+00  6.197910850E+00  9.928977692E+02  9.959967322E+02  7.822659254E+01  0.00000E+00  9.000E+00
     -11     1     3     3     0     0 -3.118014291E+01  6.808935235E+00  2.131014103E+02  2.154780127E+02  5.109989100E-04  0.00000E+00  9.000E+00
      12     1     3     3     0     0  3.356689890E+01 -6.110243848E-01  7.797963589E+02  7.805187195E+02  1.078959322E-05  0.00000E+00  9.000E+00
       1     1     1     2   511     0 -6.797911488E+00 -5.929788137E+00  7.414868679E+01  7.469539303E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   502   511  4.411155497E+00 -2.681227127E-01  3.362744519E+01  3.391659258E+01  8.259061849E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  9.09047E+00 -1.00000E+00  2.00608E-01
       3    -1     0     0   511     0  0.000000000E+00  0.000000000E+00  2.474866247E+00  2.474866247E+00  0.000000000E+00  0.00000E+00  9.000E+00
      -4    -1     0     0     0   502  0.000000000E+00  0.000000000E+00 -1.142728043E+03  1.142728043E+03  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -1.140727272E+01  3.493376802E+00 -7.392930327E+02  7.435858323E+02  7.888835372E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -3.388105708E+01  2.717465566E+01 -3.063376774E+02  3.094012937E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.247378436E+01 -2.368127886E+01 -4.329553553E+02  4.341845387E+02  5.394796609E-06  0.00000E+00  9.000E+00
      21     1     1     2   501   502  8.363248474E+00  5.072285273E+00 -3.197786471E+02  3.199282031E+02  7.629394531E-06  0.00000E+00  9.000E+00
      21     1     1     2   511   501  3.044024243E+00 -8.565662074E+00 -8.118149744E+01  8.168887425E+01  9.536743164E-07  0.00000E+00  9.000E+00


      7    666  1.00000E+00  3.61752E+00 -1.00000E+00  2.74080E-01
      21    -1     0     0   512   502  0.000000000E+00  0.000000000E+00  2.626681497E+01  2.626681497E+01  0.000000000E+00  0.00000E+00  9.000E+00
       1    -1     0     0   501     0  0.000000000E+00  0.000000000E+00 -2.290113506E+02  2.290113506E+02  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0  6.182843032E+00 -6.157895225E+00 -1.872265831E+02  2.027906047E+02  7.742150037E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0 -2.257961136E+01 -1.359749499E+01 -1.610562000E+02  1.631987447E+02  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0  2.876245439E+01  7.439599766E+00 -2.617038315E+01  3.959186005E+01  4.768371582E-07  0.00000E+00  9.000E+00
      21     1     1     2   501   502 -8.206300890E+00  3.159219300E+00 -3.324853699E+01  3.439170326E+01  4.768371582E-07  0.00000E+00  9.000E+00
       2     1     1     2   512     0  2.023457858E+00  2.998675926E+00  1.773058443E+01  1.809585763E+01  0.000000000E+00  0.00000E+00  9.000E+00


      7    666  1.00000E+00  6.31139E+00 -1.00000E+00  2.22036E-01
      -2    -1     0     0     0   502  0.000000000E+00  0.000000000E+00  1.590847496E+02  1.590847496E+02  0.000000000E+00  0.00000E+00  9.000E+00
      21    -1     0     0   512   501  0.000000000E+00  0.000000000E+00 -4.182234709E+01  4.182234709E+01  0.000000000E+00  0.00000E+00  9.000E+00
     -24     2     1     2     0     0 -4.305028124E+00 -2.962282634E+00  1.463171238E+02  1.666830296E+02  7.966946264E+01  0.00000E+00  9.000E+00
      11     1     3     3     0     0  3.142870612E+01  9.553005008E+00  3.046568375E+01  4.480157764E+01  5.109989100E-04  0.00000E+00  9.000E+00
     -12     1     3     3     0     0 -3.573373424E+01 -1.251528764E+01  1.158514400E+02  1.218814520E+02  1.348699152E-06  0.00000E+00  9.000E+00
      -1     1     1     2     0   501  8.411417496E+00 -1.830551116E+00 -6.455107274E+00  1.075970593E+01  0.000000000E+00  0.00000E+00  9.000E+00
      21     1     1     2   512   502 -4.106389372E+00  4.792833749E+00 -2.259961401E+01  2.346436111E+01  5.331201500E-07  0.00000E+00  9.000E+00


pythia8-8.1.86.orig/examples/main41.cc0000644000175000017500000000421712357054700015564 0ustar  sunsun// main41.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Author: Mikhail Kirsanov, Mikhail.Kirsanov@cern.ch, based on main01.cc.
// This program illustrates how HepMC can be interfaced to Pythia8.
// It studies the charged multiplicity distribution at the LHC.
// HepMC events are output to the hepmcout41.dat file.

// WARNING: typically one needs 25 MB/100 events at the LHC.
// Therefore large event samples may be impractical.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"

using namespace Pythia8;

int main() {

  // Interface for conversion from Pythia8::Event to HepMC event.
  HepMC::Pythia8ToHepMC ToHepMC;

  // Specify file where HepMC events will be stored.
  HepMC::IO_GenEvent ascii_io("hepmcout41.dat", std::ios::out);

  // Generator. Process selection. LHC initialization. Histogram.
  Pythia pythia;
  pythia.readString("Beams:eCM = 8000.");
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 20.");
  pythia.init();
  Hist mult("charged multiplicity", 100, -0.5, 799.5);

  // Begin event loop. Generate event. Skip if error.
  for (int iEvent = 0; iEvent < 100; ++iEvent) {
    if (!pythia.next()) continue;

    // Find number of all final charged particles and fill histogram.
    int nCharged = 0;
    for (int i = 0; i < pythia.event.size(); ++i)
      if (pythia.event[i].isFinal() && pythia.event[i].isCharged())
        ++nCharged;
    mult.fill( nCharged );

    // Construct new empty HepMC event and fill it.
    // Units will be as chosen for HepMC build; but can be changed
    // by arguments, e.g. GenEvt( HepMC::Units::GEV, HepMC::Units::MM)
    HepMC::GenEvent* hepmcevt = new HepMC::GenEvent();
    ToHepMC.fill_next_event( pythia, hepmcevt );

    // Write the HepMC event to file. Done with it.
    ascii_io << hepmcevt;
    delete hepmcevt;

  // End of event loop. Statistics. Histogram.
  }
  pythia.stat();
  cout << mult;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/outref/0000755000175000017500000000000012357054720015466 5ustar  sunsunpythia8-8.1.86.orig/examples/outref/out220000644000175000017500000104171212357054720016372 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:06:41    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | q qbar -> Theta                                621 |   3.798e-07 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  270.41 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Check:nErrList                                |                        2 |            0                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

     663  Theta                               3   0   0  342.00000    3.35160  300.00000  400.00000  0.00000e+00   1   1   0   1   0
              0     1   0.0306122    0        1       -1 
              1     1   0.0306122    0        2       -2 
              2     1   0.0306122    0        3       -3 
              3     1   0.0306122    0        4       -4 
              4     1   0.0306122    0        5       -5 
              5     1   0.0102041    0       11      -11 
              6     1   0.0102041    0       13      -13 
              7     1   0.0102041    0       15      -15 
              8     1   0.8163265    0       21       21       21 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =    1, x =  2.179e-02, pdf =  5.162e-01 at Q2 =  1.178e+05.
 In 2: id =   -1, x =  2.757e-02, pdf =  3.031e-01 at same Q2.

 Subprocess q qbar -> Theta with code 621 is 2 -> 1.
 It has sHat =  1.178e+05.
     alphaEM =  7.937e-03,  alphaS =  1.117e-01    at Q2 =  1.178e+05.

 Impact parameter b =  4.179e-01 gives enhancement factor =  2.668e+00.
 Max pT scale for MPI =  1.400e+04, ISR =  1.400e+04, FSR =  1.400e+04.
 Number of MPI =     8, ISR =    18, FSRproc =   121, FSRreson =    47.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3         1   (d)                -21     1     0     5     0   101     0      0.000      0.000    152.515    152.515      0.000
     4        -1   (dbar)             -21     2     0     5     0     0   101      0.000      0.000   -193.021    193.021      0.000
     5       663   (Theta)            -22     3     4     6     8     0     0      0.000      0.000    -40.506    345.536    343.154
     6        21   g                   23     5     0     0     0   102   104     57.112     26.044   -101.513    119.352      0.000
     7        21   g                   23     5     0     0     0   103   102     14.750     -2.106    -71.781     73.311      0.000
     8        21   g                   23     5     0     0     0   104   103    -71.862    -23.938    132.789    152.872      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000    -40.506    345.536    343.154

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0   526     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0   527     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3         1   (d)                -21     6     0     5     0   101     0      0.000      0.000    152.515    152.515      0.000
     4        -1   (dbar)             -21     7     7     5     0     0   101      0.000      0.000   -193.021    193.021      0.000
     5       663   (Theta)            -22     3     4     8     8     0     0      0.000      0.000    -40.506    345.536    343.154
     6         1   (d)                -41    19     0     9     3   105     0     -0.000      0.000    164.209    164.209      0.000
     7        -1   (dbar)             -42    20    20     4     4     0   101      0.000     -0.000   -193.021    193.021      0.000
     8       663   (Theta)            -44     5     5    21    21     0     0      6.836     -9.129    -33.342    344.958    343.154
     9        21   (g)                -43     6     0    22    22   105   101     -6.836      9.129      4.529     12.271      0.000
    10         4   (c)                -31    14    14    12    13   106     0      0.000      0.000     17.276     17.276      0.000
    11        21   (g)                -31    15     0    12    13   107   106      0.000      0.000    -16.534     16.534      0.000
    12         4   (c)                -33    10    11    16    16   108     0      2.832     -9.721     13.865     17.234      1.500
    13        21   (g)                -33    10    11    17    17   107   108     -2.832      9.721    -13.123     16.575      0.000
    14         4   (c)                -42    24    24    10    10   106     0      0.000     -0.000     17.276     17.276      0.000
    15        21   (g)                -41    25     0    18    11   109   106     -0.000      0.000  -1605.149   1605.149      0.000
    16         4   (c)                -44    12    12    26    26   108     0      3.013    -10.600     15.378     18.978      1.500
    17        21   (g)                -44    13    13    27    27   107   108     -1.234      1.975    -15.783     15.954      0.000
    18        21   (g)                -43    15     0    28    28   109   107     -1.778      8.625  -1587.468   1587.493      0.000
    19        21   (g)                -41    66    66    23     6   105   110      0.000      0.000    189.412    189.412      0.000
    20        -1   (dbar)             -42    65    65     7     7     0   101     -0.000     -0.000   -193.021    193.021      0.000
    21       663   (Theta)            -44     8     8    68    68     0     0     -0.672    -10.140    -31.962    344.789    343.154
    22        21   (g)                -44     9     9    63    64   105   101     -7.240      9.075      4.437     12.428      0.000
    23        -1   (dbar)             -43    19     0    70    70     0   110      7.912      1.065     23.916     25.216      0.330
    24         4   (c)                -42   102     0    14    14   106     0      0.000     -0.000     17.276     17.276      0.000
    25        21   (g)                -41   103   103    29    15   109   111     -0.000      0.000  -3189.214   3189.214      0.000
    26         4   (c)                -44    16    16   104   104   108     0      3.006    -10.599     15.356     18.959      1.500
    27        21   (g)                -44    17    17    62    62   107   108     -1.297      1.981    -15.792     15.968      0.000
    28        21   (g)                -44    18    18    60    61   109   107     -8.026      9.208  -1588.618   1588.665      0.000
    29        21   (g)                -43    25     0   107   107   106   111      6.317     -0.590  -1582.885   1582.898      0.000
    30        21   (g)                -31    34     0    32    33   113   114      0.000      0.000      0.474      0.474      0.000
    31         2   (u)                -31    35    35    32    33   112     0      0.000      0.000   -153.690    153.690      0.000
    32        21   (g)                -33    30    31    36    36   112   114     -2.131      4.642    -14.871     15.724      0.000
    33         2   (u)                -33    30    31    37    37   113     0      2.131     -4.642   -138.345    138.440      0.330
    34        21   (g)                -41    39     0    38    30   113   115     -0.000     -0.000      1.535      1.535      0.000
    35         2   (u)                -42    40    40    31    31   112     0     -0.000     -0.000   -153.690    153.690      0.000
    36        21   (g)                -44    32    32    41    41   112   114      1.817      6.494    -23.254     24.212      0.000
    37         2   (u)                -44    33    33    42    42   113     0      2.569     -4.437   -124.051    124.157      0.330
    38        21   (g)                -43    34     0    43    43   114   115     -4.386     -2.057     -4.851      6.856      0.000
    39        21   (g)                -41    45     0    44    34   116   115      0.000      0.000      2.880      2.880      0.000
    40         2   (u)                -42    46    46    35    35   112     0      0.000      0.000   -153.690    153.690      0.000
    41        21   (g)                -44    36    36    47    47   112   114      0.353      6.240    -18.821     19.831      0.000
    42         2   (u)                -44    37    37    48    48   113     0      2.407     -4.465   -115.108    115.220      0.330
    43        21   (g)                -44    38    38    49    49   114   115     -7.451     -2.589    -13.651     15.766      0.000
    44        21   (g)                -43    39     0    50    50   116   113      4.691      0.814     -3.230      5.753      0.000
    45        21   (g)                -41    89    89    51    39   117   115     -0.000     -0.000   1088.890   1088.890      0.000
    46         2   (u)                -42   584   584    40    40   112     0      0.000      0.000   -153.690    153.690      0.000
    47        21   (g)                -44    41    41   128   129   112   114     -0.498      6.133    -17.971     18.995      0.000
    48         2   (u)                -44    42    42   176   176   113     0      2.312     -4.477   -112.076    112.190      0.330
    49        21   (g)                -44    43    43    87    88   114   115     -9.231     -2.812    -20.650     22.794      0.000
    50        21   (g)                -44    44    44    80    80   116   113      2.567      0.547     -0.068      2.625      0.000
    51        21   (g)                -43    45     0    78    79   117   116      4.850      0.609   1085.965   1085.976      0.000
    52        21   (g)                -31    73     0    54    55   118   119      0.000      0.000      7.521      7.521      0.000
    53        21   (g)                -31    74    74    54    55   120   121      0.000      0.000   -152.496    152.496      0.000
    54        21   (g)                -33    52    53    75    75   118   121      3.986      1.359      6.900      8.084      0.000
    55        21   (g)                -33    52    53    76    76   120   119     -3.986     -1.359   -151.875    151.933      0.000
    56        21   (g)                -31   110     0    58    59   123   124      0.000      0.000      1.420      1.420      0.000
    57         1   (d)                -31   111   111    58    59   122     0      0.000      0.000  -1187.938   1187.938      0.000
    58        21   (g)                -33    56    57   112   112   122   124      3.365     -0.764     -0.682      3.517      0.000
    59         1   (d)                -33    56    57   113   113   123     0     -3.365      0.764  -1185.836   1185.841      0.330
    60        21   (g)                -51    28     0   106   106   109   125     -5.619      5.626   -591.217    591.271      0.000
    61        21   (g)                -51    28     0   108   108   125   107     -2.531      3.771   -998.906    998.916      0.000
    62        21   (g)                -52    27    27   105   105   107   108     -1.173      1.792    -14.286     14.446      0.000
    63        21   (g)                -51    22     0    69    69   105   126     -5.955      4.474      5.097      9.025      0.000
    64        21   (g)                -51    22     0    71    71   126   101     -1.286      4.601     -2.788      5.531      0.000
    65        -1   (dbar)             -53    67     0    20    20     0   101      0.000     -0.000   -195.149    195.149      0.000
    66        21   (g)                -42    94     0    19    19   105   110     -0.000      0.000    189.412    189.412      0.000
    67        -1   (dbar)             -41    95    95    72    65     0   127      0.000     -0.000   -201.927    201.927      0.000
    68       663   (Theta)            -44    21    21    96    96     0     0     -0.678     -7.268    -32.678    344.783    343.154
    69        21   (g)                -44    63    63    97    97   105   126     -5.955      4.504      5.114      9.050      0.000
    70        -1   (dbar)             -44    23    23    98    98     0   110      7.912      1.075     23.877     25.179      0.330
    71        21   (g)                -44    64    64    99    99   126   101     -1.286      4.664     -2.763      5.572      0.000
    72        21   (g)                -43    67     0   100   100   101   127      0.006     -2.975     -6.065      6.756      0.000
    73        21   (g)                -41    81    81    77    52   128   119     -0.000     -0.000     13.560     13.560      0.000
    74        21   (g)                -42    82     0    53    53   120   121      0.000      0.000   -152.496    152.496      0.000
    75        21   (g)                -44    54    54    83    83   118   121      1.579     -0.493      7.436      7.617      0.000
    76        21   (g)                -44    55    55    84    84   120   119     -3.996     -1.366   -151.988    152.047      0.000
    77        21   (g)                -43    73     0    85    85   128   118      2.417      1.859      5.617      6.391      0.000
    78        21   (g)                -51    51     0   179   179   117   129      3.957      2.447   1059.150   1059.160      0.000
    79        21   (g)                -51    51     0   131   132   129   116      0.967     -1.822     26.813     26.893      0.000
    80        21   (g)                -52    50    50   133   133   116   113      2.492      0.531     -0.066      2.549      0.000
    81        21   (g)                -42   121     0    73    73   128   119     -0.000     -0.000     13.560     13.560      0.000
    82        -2   (ubar)             -41   122   122    86    74     0   121      0.000      0.000   -426.914    426.914      0.000
    83        21   (g)                -44    75    75   123   123   118   121      1.581     -0.493      7.438      7.620      0.000
    84        21   (g)                -44    76    76   124   124   120   119     -1.355     -0.845   -152.223    152.231      0.000
    85        21   (g)                -44    77    77   125   125   128   118      2.423      1.861      5.633      6.408      0.000
    86        -2   (ubar)             -43    82     0   126   126     0   120     -2.649     -0.522   -274.201    274.215      0.330
    87        21   (g)                -51    49     0   130   130   114   130     -9.159     -4.958    -18.595     21.313      0.000
    88        21   (g)                -51    49     0   118   119   130   115     -0.073      2.145     -1.116      2.420      0.000
    89        21   (g)                -53   120   120    45    45   117   115     -0.000     -0.000   1089.829   1089.829      0.000
    90        21   (g)                -31   193   193    92    93   131   132      0.000      0.000      9.911      9.911      0.000
    91        21   (g)                -31   186   186    92    93   133   134      0.000      0.000   -258.665    258.665      0.000
    92        21   (g)                -33    90    91   195   195   131   134      0.919      2.253   -258.510    258.521      0.000
    93        21   (g)                -33    90    91   184   185   133   132     -0.919     -2.253      9.756     10.055      0.000
    94        21   (g)                -41   211     0   101    66   105   135      0.000     -0.000    255.156    255.156      0.000
    95        -1   (dbar)             -42   212   212    67    67     0   127      0.000      0.000   -201.927    201.927      0.000
    96       663   (Theta)            -44    68    68   213   213     0     0     -0.997     -9.230    -32.680    344.831    343.154
    97        21   (g)                -44    69    69   214   214   105   126     -5.969      4.415      5.138      9.029      0.000
    98        -1   (dbar)             -44    70    70   161   162     0   110      7.862      0.767     23.894     25.169      0.330
    99        21   (g)                -44    71    71   151   151   126   101     -1.289      4.647     -2.734      5.543      0.000
   100        21   (g)                -44    72    72   149   150   101   127      0.005     -2.980     -6.083      6.774      0.000
   101        21   (g)                -43    94     0   163   163   110   135      0.387      2.381     65.693     65.738      0.000
   102        21   (g)                -41   189   189   109    24   106   136     -0.000      0.000     21.644     21.644      0.000
   103        21   (g)                -42   316   316    25    25   109   111      0.000     -0.000  -3189.214   3189.214      0.000
   104         4   (c)                -44    26    26   204   204   108     0      4.784    -11.424     14.892     19.427      1.500
   105        21   (g)                -44    62    62   155   156   107   108     -1.165      1.788    -14.181     14.340      0.000
   106        21   (g)                -44    60    60   236   237   109   125     -5.616      5.625   -590.715    590.769      0.000
   107        21   (g)                -44    29    29   187   188   106   111      6.317     -0.590  -1583.024   1583.037      0.000
   108        21   (g)                -44    61    61   157   157   125   107     -2.530      3.771   -998.556    998.567      0.000
   109        -4   (cbar)             -43   102     0   565   565     0   136     -1.790      0.830      4.014      4.718      1.500
   110        21   (g)                -41   210   210   114    56   137   124     -0.000     -0.000      1.662      1.662      0.000
   111         1   (d)                -42   225   225    57    57   122     0     -0.000     -0.000  -1187.938   1187.938      0.000
   112        21   (g)                -44    58    58   208   209   122   124      2.661     -2.741     -1.136      3.985      0.000
   113         1   (d)                -44    59    59   115   116   123     0     -3.366      0.760  -1180.668   1180.673      0.330
   114        21   (g)                -43   110     0   117   117   137   123      0.705      1.980     -4.472      4.941      0.000
   115         1   (d)                -51   113     0   145   145   138     0     -3.923      1.800  -1154.868   1154.876      0.330
   116        21   (g)                -51   113     0   143   144   123   138      0.596     -0.928    -26.051     26.074      0.000
   117        21   (g)                -52   114   114   228   228   137   123      0.666      1.869     -4.221      4.664      0.000
   118        21   (g)                -51    88     0   134   135   130   139      0.102     -1.356      0.302      1.393      0.000
   119        21   (g)                -51    88     0   136   136   139   115     -0.174      3.501      1.290      3.736      0.000
   120        21   (g)                -53   364   364    89    89   117   115     -0.000      0.000   1092.537   1092.537      0.000
   121         2   (u)                -41   142   142   127    81   128     0      0.000     -0.000   1874.540   1874.540      0.000
   122        -2   (ubar)             -42   625   625    82    82     0   121      0.000      0.000   -426.914    426.914      0.000
   123        21   (g)                -44    83    83   292   292   118   121      2.364      0.299      7.342      7.719      0.000
   124        21   (g)                -44    84    84   139   139   120   119     -1.354     -0.845   -152.082    152.090      0.000
   125        21   (g)                -44    85    85   140   141   128   118      3.050      2.494      5.377      6.666      0.000
   126        -2   (ubar)             -44    86    86   629   629     0   120     -2.648     -0.522   -273.988    274.002      0.330
   127         2   (u)                -43   121     0   137   138   119     0     -1.410     -1.426   1860.977   1860.978      0.330
   128        21   (g)                -51    47     0   331   331   112   140      1.013      4.338    -10.382     11.297      0.000
   129        21   (g)                -51    47     0   325   325   140   114     -2.488      1.267     -9.572      9.970      0.000
   130        21   (g)                -52    87    87   167   168   114   130     -8.182     -4.429    -16.612     19.040      0.000
   131        21   (g)                -51    79     0   177   178   129   141     -0.845     -1.483     20.590     20.661      0.000
   132        21   (g)                -51    79     0   190   191   141   116      2.156     -0.265      6.214      6.583      0.000
   133        21   (g)                -52    80    80   174   175   116   113      2.149      0.458     -0.057      2.198      0.000
   134         3   (s)                -51   118     0   169   169   130     0      1.089     -0.843      0.121      1.471      0.500
   135        -3   (sbar)             -51   118     0   595   595     0   139     -1.108      1.902      1.071      2.499      0.500
   136        21   (g)                -52   119   119   362   363   139   115     -0.054      1.086      0.400      1.159      0.000
   137         2   (u)                -51   127     0   152   153   142     0      0.335     -1.619   1829.502   1829.502      0.330
   138        21   (g)                -51   127     0   154   154   119   142     -1.746      0.193     31.450     31.499      0.000
   139        21   (g)                -52   124   124   207   207   120   119     -1.354     -0.845   -152.057    152.066      0.000
   140        21   (g)                -51   125     0   241   241   143   118      2.606      3.219      9.688     10.536      0.000
   141        21   (g)                -51   125     0   146   147   128   143      0.444     -0.725      0.599      1.040      0.000
   142         2   (u)                -53   148   148   121   121   128     0      0.000     -0.000   1879.449   1879.449      0.000
   143        21   (g)                -51   116     0   229   229   123   144     -1.220     -1.493   -156.791    156.803      0.000
   144        21   (g)                -51   116     0   230   230   144   138      1.106      0.891    -77.940     77.953      0.000
   145         1   (d)                -52   115   115   227   227   138     0     -3.214      1.474   -946.188    946.195      0.330
   146        21   (g)                -51   141     0   239   240   145   143     -1.379     -0.463      5.298      5.494      0.000
   147        21   (g)                -51   141     0   242   243   128   145      1.823     -0.262      6.816      7.060      0.000
   148         2   (u)                -53   244   244   142   142   128     0      0.000     -0.000   1890.964   1890.964      0.000
   149        21   (g)                -51   100     0   217   217   146   127      0.496     -0.278     -4.526      4.561      0.000
   150        21   (g)                -51   100     0   219   219   101   146     -0.655     -2.110     -1.905      2.917      0.000
   151        21   (g)                -52    99    99   216   216   126   101     -1.125      4.056     -2.386      4.838      0.000
   152         2   (u)                -51   137     0   630   630   147     0     -0.819     -1.774   1688.801   1688.802      0.330
   153        21   (g)                -51   137     0   634   634   142   147      1.010      0.171    143.298    143.302      0.000
   154        21   (g)                -52   138   138   205   206   119   142     -1.601      0.177     28.853     28.898      0.000
   155        21   (g)                -51   105     0   202   203   148   108      0.342      1.535     -9.530      9.658      0.000
   156        21   (g)                -51   105     0   158   159   107   148     -1.607      0.402    -43.813     43.844      0.000
   157        21   (g)                -52   108   108   160   160   125   107     -2.431      3.623   -959.394    959.404      0.000
   158        21   (g)                -51   156     0   263   264   149   148      0.615      0.439    -25.551     25.563      0.000
   159        21   (g)                -51   156     0   265   265   107   149     -2.580      0.498   -159.926    159.947      0.000
   160        21   (g)                -52   157   157   238   238   125   107     -2.072      3.088   -817.730    817.739      0.000
   161        -1   (dbar)             -51    98     0   215   215     0   150      3.954     -0.342      9.490     10.292      0.330
   162        21   (g)                -51    98     0   164   165   150   110      3.927      1.225     17.591     18.065      0.000
   163        21   (g)                -52   101   101   166   166   110   135      0.368      2.265     62.507     62.549      0.000
   164        21   (g)                -51   162     0   220   220   150   151      0.315     -0.296      0.544      0.695      0.000
   165        21   (g)                -51   162     0   201   201   151   110      3.660      1.816     25.184     25.514      0.000
   166        21   (g)                -52   163   163   199   200   110   135      0.320      1.970     54.369     54.405      0.000
   167        21   (g)                -51   130     0   299   300   114   152     -3.501     -3.163     -6.796      8.273      0.000
   168        21   (g)                -51   130     0   301   301   152   130     -4.573     -1.342     -9.793     10.891      0.000
   169         3   (s)                -52   134   134   409   409   130     0      0.982     -0.767      0.098      1.346      0.500
   170        -2   (ubar)             -31   688   688   172   173     0   153      0.000      0.000      0.150      0.150      0.000
   171        21   (g)                -31   689   689   172   173   155   154      0.000      0.000   -275.848    275.848      0.000
   172        -2   (ubar)             -33   170   171   690   690     0   154      1.030      0.657     -2.550      2.847      0.330
   173        21   (g)                -33   170   171   691   691   155   153     -1.030     -0.657   -273.148    273.151      0.000
   174        21   (g)                -51   133     0   192   192   116   156      1.747      1.382     -1.170      2.516      0.000
   175        21   (g)                -51   133     0   247   247   156   113      0.431     -0.981     -0.323      1.119      0.000
   176         2   (u)                -52    48    48   245   246   113     0      2.283     -4.419   -110.640    110.752      0.330
   177        21   (g)                -51   131     0   280   280   157   141     -0.618      0.355      6.361      6.401      0.000
   178        21   (g)                -51   131     0   295   295   129   157     -0.096     -1.757     49.543     49.575      0.000
   179        21   (g)                -52    78    78   293   294   117   129      3.825      2.365   1023.835   1023.845      0.000
   180        -2   (ubar)             -31   692   692   182   183     0   158      0.000      0.000     13.782     13.782      0.000
   181        21   (g)                -31   693   693   182   183   160   159      0.000      0.000     -0.267      0.267      0.000
   182        -2   (ubar)             -33   180   181   694   694     0   159     -0.278      1.087     12.442     12.496      0.330
   183        21   (g)                -33   180   181   695   695   160   158      0.278     -1.087      1.073      1.553      0.000
   184        21   (g)                -51    93     0   196   196   161   132     -0.868     -2.584      6.255      6.823      0.000
   185        21   (g)                -51    93     0   197   197   133   161     -0.051      0.331      3.358      3.374      0.000
   186        21   (g)                -53   194     0    91    91   133   134      0.000      0.000   -258.808    258.808      0.000
   187        21   (g)                -51   107     0   314   315   162   111      6.588     -1.316  -1462.040   1462.055      0.000
   188        21   (g)                -51   107     0   455   456   106   162     -0.271      0.726   -120.982    120.984      0.000
   189        21   (g)                -53   558   558   102   102   106   136     -0.000      0.000     21.647     21.647      0.000
   190        21   (g)                -51   132     0   278   279   141   163      2.611     -0.145      6.226      6.753      0.000
   191        21   (g)                -51   132     0   367   367   163   116     -0.132      0.135     -0.228      0.296      0.000
   192        21   (g)                -52   174   174   463   463   116   156      1.423      1.126     -0.953      2.050      0.000
   193        21   (g)                -42   271   271    90    90   131   132      0.000      0.000      9.911      9.911      0.000
   194        21   (g)                -41   510   510   198   186   164   134     -0.000     -0.000   -278.900    278.900      0.000
   195        21   (g)                -44    92    92   269   270   131   134      0.231      1.536   -258.866    258.871      0.000
   196        21   (g)                -44   184   184   343   343   161   132     -0.869     -2.585      6.251      6.820      0.000
   197        21   (g)                -44   185   185   275   276   133   161     -0.051      0.331      3.353      3.369      0.000
   198        21   (g)                -43   194     0   277   277   164   133      0.689      0.719    -19.726     19.751      0.000
   199        21   (g)                -51   166     0   218   218   165   135      1.167      2.162     37.149     37.230      0.000
   200        21   (g)                -51   166     0   222   222   110   165     -0.323      0.069     20.826     20.828      0.000
   201        21   (g)                -52   165   165   221   221   151   110      3.136      1.556     21.579     21.861      0.000
   202        21   (g)                -51   155     0   305   306   148   166     -0.782      0.471     -4.517      4.608      0.000
   203        21   (g)                -51   155     0   307   307   166   108      1.151      1.000     -4.929      5.159      0.000
   204         4   (c)                -52   104   104   490   490   108     0      4.757    -11.359     14.808     19.318      1.500
   205        21   (g)                -51   154     0   260   261   167   142     -1.184      0.618     28.754     28.785      0.000
   206        21   (g)                -51   154     0   262   262   119   167     -0.425     -0.445     -0.789      1.000      0.000
   207        21   (g)                -52   139   139   328   328   120   119     -1.346     -0.840   -151.170    151.178      0.000
   208        21   (g)                -51   112     0   226   226   122   169      2.812     -2.801     -0.343      3.984      0.000
   209        21   (g)                -51   112     0   231   231   169   124     -0.151      0.061     -0.381      0.414      0.000
   210        21   (g)                -53   224     0   110   110   137   124     -0.000      0.000      2.074      2.074      0.000
   211        21   (g)                -41   526   526   223    94   170   135      0.000     -0.000    847.132    847.132      0.000
   212        -1   (dbar)             -42   508   508    95    95     0   127     -0.000      0.000   -201.927    201.927      0.000
   213       663   (Theta)            -44    96    96   528   528     0     0     -0.465     -9.050    -32.671    344.824    343.154
   214        21   (g)                -44    97    97   250   250   105   126     -5.945      4.423      5.145      9.021      0.000
   215        -1   (dbar)             -44   161   161   530   530     0   150      3.987     -0.331      9.484     10.298      0.330
   216        21   (g)                -44   151   151   253   253   126   101     -1.120      4.057     -2.387      4.838      0.000
   217        21   (g)                -44   149   149   308   309   146   127      0.496     -0.278     -4.526      4.562      0.000
   218        21   (g)                -44   199   199   332   333   165   135      1.294      2.205     37.146     37.234      0.000
   219        21   (g)                -44   150   150   298   298   101   146     -0.653     -2.110     -1.903      2.915      0.000
   220        21   (g)                -44   164   164   344   345   150   151      0.317     -0.295      0.544      0.696      0.000
   221        21   (g)                -44   201   201   284   285   151   110      3.210      1.581     21.573     21.867      0.000
   222        21   (g)                -44   200   200   286   286   110   165     -0.252      0.093     20.826     20.828      0.000
   223        21   (g)                -43   211     0   248   249   170   105     -0.869     -0.294    591.974    591.975      0.000
   224        -2   (ubar)             -41   647   647   232   210     0   124      0.000      0.000     53.124     53.124      0.000
   225         1   (d)                -42   313   313   111   111   122     0     -0.000     -0.000  -1187.938   1187.938      0.000
   226        21   (g)                -44   208   208   311   312   122   169      2.472     -3.525     -0.725      4.366      0.000
   227         1   (d)                -44   145   145   304   304   138     0     -3.214      1.472   -946.112    946.119      0.330
   228        21   (g)                -44   117   117   235   235   137   123      0.624      1.781     -3.797      4.240      0.000
   229        21   (g)                -44   143   143   233   234   123   144     -1.221     -1.496   -157.188    157.200      0.000
   230        21   (g)                -44   144   144   302   303   144   138      1.105      0.888    -77.653     77.666      0.000
   231        21   (g)                -44   209   209   654   654   169   124     -0.154      0.054     -0.384      0.417      0.000
   232        -2   (ubar)             -43   224     0   254   255     0   137      0.388      0.825     51.045     51.055      0.330
   233        21   (g)                -51   229     0   272   273   171   144     -1.737     -1.653   -128.848    128.870      0.000
   234        21   (g)                -51   229     0   274   274   123   171      0.539      0.223    -28.481     28.487      0.000
   235        21   (g)                -52   228   228   256   256   137   123      0.601      1.715     -3.656      4.083      0.000
   236        21   (g)                -51   106     0   397   397   109   172     -3.537      2.775   -411.540    411.565      0.000
   237        21   (g)                -51   106     0   395   396   172   125     -2.258      3.116   -249.684    249.713      0.000
   238        21   (g)                -52   160   160   464   465   125   107     -1.893      2.822   -747.222    747.230      0.000
   239        21   (g)                -51   146     0   349   349   145   173     -0.335     -0.881      3.707      3.825      0.000
   240        21   (g)                -51   146     0   268   268   173   143     -0.674      0.876      2.969      3.168      0.000
   241        21   (g)                -52   140   140   266   267   143   118      2.235      2.761      8.310      9.037      0.000
   242        21   (g)                -51   147     0   347   348   174   145      2.142     -0.466     13.368     13.547      0.000
   243        21   (g)                -51   147     0   637   637   128   174     -0.319      0.204      1.056      1.121      0.000
   244         2   (u)                -53   624   624   148   148   128     0      0.000     -0.000   1898.572   1898.572      0.000
   245         2   (u)                -51   176     0   586   586   175     0     -0.366     -0.201    -14.199     14.209      0.330
   246        21   (g)                -51   176     0   259   259   113   175      2.664     -4.253    -96.453     96.583      0.000
   247        21   (g)                -52   175   175   257   258   156   113      0.416     -0.946     -0.311      1.080      0.000
   248         1   (d)                -51   223     0   538   538   170     0     -0.885     -0.712    252.442    252.445      0.330
   249        -1   (dbar)             -51   223     0   370   370     0   105      0.012      0.420    339.535    339.536      0.330
   250        21   (g)                -52   214   214   251   252   105   126     -5.941      4.420      5.142      9.015      0.000
   251        21   (g)                -51   250     0   350   351   105   177     -5.055      3.597      4.909      7.911      0.000
   252        21   (g)                -51   250     0   352   352   177   126     -0.994      1.209      0.006      1.565      0.000
   253        21   (g)                -52   216   216   296   297   126   101     -1.014      3.671     -2.159      4.378      0.000
   254        -2   (ubar)             -51   232     0   437   438     0   179      0.520     -0.196     31.414     31.421      0.330
   255        21   (g)                -51   232     0   317   318   179   137     -0.130      1.027     19.620     19.647      0.000
   256        21   (g)                -52   235   235   319   319   137   123      0.599      1.710     -3.644      4.070      0.000
   257        21   (g)                -51   247     0   461   462   156   180      0.358     -1.357     -1.961      2.411      0.000
   258        21   (g)                -51   247     0   601   601   180   113      0.104      0.337     -0.034      0.354      0.000
   259        21   (g)                -52   246   246   600   600   113   175      2.617     -4.179    -94.769     94.897      0.000
   260        21   (g)                -51   205     0   385   385   181   142     -0.493     -0.109     22.839     22.844      0.000
   261        21   (g)                -51   205     0   383   384   167   181     -0.706      0.712      5.889      5.974      0.000
   262        21   (g)                -52   206   206   326   327   119   167     -0.411     -0.431     -0.762      0.967      0.000
   263        21   (g)                -51   158     0   491   492   182   148      0.457      0.059     -8.227      8.240      0.000
   264        21   (g)                -51   158     0   571   571   149   182     -0.791      0.563    -76.120     76.126      0.000
   265        21   (g)                -52   159   159   466   466   107   149     -1.632      0.315   -101.130    101.144      0.000
   266        21   (g)                -51   241     0   290   291   183   118      2.141      3.001      9.380     10.078      0.000
   267        21   (g)                -51   241     0   639   639   143   183     -0.188      0.126      0.173      0.285      0.000
   268        21   (g)                -52   240   240   475   475   173   143     -0.392      0.509      1.727      1.842      0.000
   269        21   (g)                -51   195     0   503   504   184   134      0.808      0.839   -107.015    107.021      0.000
   270        21   (g)                -51   195     0   505   505   131   184     -0.577      0.697   -151.849    151.852      0.000
   271        21   (g)                -53   509     0   193   193   131   132      0.000      0.000      9.913      9.913      0.000
   272        21   (g)                -51   233     0   451   451   185   144     -1.073     -0.701    -41.642     41.662      0.000
   273        21   (g)                -51   233     0   658   658   171   185     -0.456     -0.866    -98.151     98.156      0.000
   274        21   (g)                -52   234   234   377   378   123   171      0.332      0.138    -17.536     17.539      0.000
   275        21   (g)                -51   197     0   341   342   186   161      0.584      0.451      0.391      0.835      0.000
   276        21   (g)                -51   197     0   281   282   133   186     -0.626     -0.111      2.711      2.785      0.000
   277        21   (g)                -52   198   198   283   283   164   133      0.680      0.709    -19.475     19.500      0.000
   278        21   (g)                -51   190     0   365   366   187   163      2.014      0.104      3.746      4.254      0.000
   279        21   (g)                -51   190     0   602   602   141   187      0.449     -0.163      4.011      4.040      0.000
   280        21   (g)                -52   177   177   590   590   157   141     -0.469      0.270      4.830      4.860      0.000
   281        21   (g)                -51   276     0   335   336   188   186     -0.750      0.155      0.032      0.766      0.000
   282        21   (g)                -51   276     0   287   288   133   188      0.135     -0.253      2.340      2.358      0.000
   283        21   (g)                -52   277   277   289   289   164   133      0.668      0.697    -19.137     19.161      0.000
   284        21   (g)                -51   221     0   346   346   151   189      2.247      1.124     20.908     21.059      0.000
   285        21   (g)                -51   221     0   380   381   189   110      0.927      0.470      3.664      3.808      0.000
   286        21   (g)                -52   222   222   334   334   110   165     -0.216      0.079     17.827     17.828      0.000
   287        21   (g)                -51   282     0   337   337   190   188      0.443      0.456      1.177      1.338      0.000
   288        21   (g)                -51   282     0   388   388   133   190     -0.301     -0.702      0.958      1.225      0.000
   289        21   (g)                -52   283   283   386   387   164   133      0.661      0.690    -18.932     18.956      0.000
   290         1   (d)                -51   266     0   628   628   183     0      1.328      1.555      3.977      4.484      0.330
   291        -1   (dbar)             -51   266     0   640   640     0   118      1.586      1.543      7.801      8.116      0.330
   292        21   (g)                -52   123   123   626   626   118   121      1.591      0.201      4.943      5.197      0.000
   293        21   (g)                -51   179     0   589   589   117   191      2.316      1.852    796.394    796.400      0.000
   294        21   (g)                -51   179     0   359   360   191   129      1.506      0.455    229.095    229.100      0.000
   295        21   (g)                -52   178   178   361   361   129   157     -0.093     -1.698     47.890     47.920      0.000
   296        21   (g)                -51   253     0   531   531   126   192      0.286      1.204     -0.866      1.510      0.000
   297        21   (g)                -51   253     0   358   358   192   101     -1.339      2.341     -1.407      3.042      0.000
   298        21   (g)                -52   219   219   310   310   101   146     -0.614     -1.983     -1.789      2.741      0.000
   299        21   (g)                -51   167     0   323   324   114   193     -4.213     -3.281     -7.577      9.269      0.000
   300        21   (g)                -51   167     0   604   604   193   152     -0.784     -0.321     -2.422      2.566      0.000
   301        21   (g)                -52   168   168   407   408   152   130     -3.077     -0.903     -6.590      7.329      0.000
   302        21   (g)                -51   230     0   449   450   144   194      0.824      0.272    -32.909     32.920      0.000
   303        21   (g)                -51   230     0   410   411   194   138     -0.023      0.754   -134.130    134.132      0.000
   304         1   (d)                -52   227   227   412   412   138     0     -2.910      1.334   -856.727    856.733      0.330
   305        21   (g)                -51   202     0   392   393   148   195     -0.683      0.141     -3.871      3.933      0.000
   306        21   (g)                -51   202     0   394   394   195   166      0.455      0.812     -3.021      3.161      0.000
   307        21   (g)                -52   203   203   488   489   166   108      0.596      0.518     -2.553      2.672      0.000
   308        21   (g)                -51   217     0   506   507   196   127      0.447     -0.656     -5.041      5.104      0.000
   309        21   (g)                -51   217     0   543   543   146   196     -0.117     -0.159      0.031      0.200      0.000
   310        21   (g)                -52   298   298   356   357   101   146     -0.448     -1.447     -1.305      1.999      0.000
   311        21   (g)                -51   226     0   649   649   197   169      1.519     -3.248     -0.822      3.679      0.000
   312        21   (g)                -51   226     0   660   660   122   197      0.953     -0.277     -0.236      1.020      0.000
   313         1   (d)                -53   648   648   225   225   122     0      0.000     -0.000  -1188.271   1188.271      0.000
   314        21   (g)                -51   187     0   457   457   162   198      4.140     -0.897   -802.947    802.958      0.000
   315        21   (g)                -51   187     0   573   573   198   111      2.448     -0.419   -723.836    723.840      0.000
   316        21   (g)                -53   559   559   103   103   109   111     -0.000      0.000  -3253.957   3253.957      0.000
   317        21   (g)                -51   255     0   436   436   179   199      0.087      0.511      0.449      0.685      0.000
   318        21   (g)                -51   255     0   320   321   199   137     -0.200      0.565     19.067     19.077      0.000
   319        21   (g)                -52   256   256   322   322   137   123      0.582      1.661     -3.541      3.955      0.000
   320        21   (g)                -51   318     0   353   354   199   200     -0.134      0.665     19.068     19.080      0.000
   321        21   (g)                -51   318     0   355   355   200   137     -0.044     -0.037     -0.136      0.147      0.000
   322        21   (g)                -52   319   319   379   379   137   123      0.560      1.598     -3.406      3.804      0.000
   323        21   (g)                -51   299     0   587   587   201   193     -1.122     -0.209     -2.860      3.080      0.000
   324        21   (g)                -51   299     0   425   426   114   201     -3.375     -2.927     -5.812      7.331      0.000
   325        21   (g)                -52   129   129   329   330   140   114     -2.203      1.122     -8.476      8.829      0.000
   326        21   (g)                -51   262     0   391   391   202   167      0.015     -0.157      0.028      0.160      0.000
   327        21   (g)                -51   262     0   373   373   119   202     -0.510     -0.327    -10.261     10.279      0.000
   328        21   (g)                -52   207   207   371   372   120   119     -1.262     -0.787   -141.699    141.707      0.000
   329        21   (g)                -51   325     0   427   427   203   114     -1.676      0.513     -4.660      4.979      0.000
   330        21   (g)                -51   325     0   338   339   140   203     -0.418      1.077     -4.937      5.071      0.000
   331        21   (g)                -52   128   128   340   340   112   140      0.904      3.869     -9.261     10.077      0.000
   332        21   (g)                -51   218     0   533   533   205   135      0.304      1.739     25.978     26.038      0.000
   333        21   (g)                -51   218     0   544   544   165   205      0.901      0.499     18.542     18.571      0.000
   334        21   (g)                -52   286   286   537   537   110   165     -0.127      0.046     10.452     10.453      0.000
   335        21   (g)                -51   281     0   516   516   206   186      0.150     -0.220     -0.122      0.293      0.000
   336        21   (g)                -51   281     0   519   519   188   206     -0.655      0.626      0.803      1.211      0.000
   337        21   (g)                -52   287   287   517   517   190   188      0.199      0.205      0.528      0.600      0.000
   338        21   (g)                -51   330     0   401   402   207   203     -0.260      0.725     -4.157      4.228      0.000
   339        21   (g)                -51   330     0   403   403   140   207      0.281      2.229     -5.273      5.732      0.000
   340        21   (g)                -52   331   331   585   585   112   140      0.465      1.992     -4.768      5.188      0.000
   341        21   (g)                -51   275     0   513   513   186   208      0.331      0.642      0.930      1.178      0.000
   342        21   (g)                -51   275     0   520   520   208   161      0.096     -0.658      0.590      0.889      0.000
   343        21   (g)                -52   196   196   512   512   161   132     -0.712     -2.118      5.122      5.588      0.000
   344        21   (g)                -51   220     0   415   415   150   209      0.427     -0.405      1.063      1.215      0.000
   345        21   (g)                -51   220     0   413   414   209   151      0.602      0.465      6.103      6.150      0.000
   346        21   (g)                -52   284   284   382   382   151   189      1.535      0.768     14.287     14.389      0.000
   347        21   (g)                -51   242     0   633   633   174   210      1.905     -0.155     11.299     11.459      0.000
   348        21   (g)                -51   242     0   642   642   210   145      0.126     -0.604      3.300      3.357      0.000
   349        21   (g)                -52   239   239   473   474   145   173     -0.224     -0.588      2.477      2.555      0.000
   350        21   (g)                -51   251     0   368   369   105   212     -1.406      0.453      0.872      1.715      0.000
   351        21   (g)                -51   251     0   546   546   212   177     -3.894      3.443      4.038      6.582      0.000
   352        21   (g)                -52   252   252   540   540   177   126     -0.749      0.911      0.004      1.179      0.000
   353        21   (g)                -51   320     0   434   435   199   213      0.093      0.917     17.448     17.473      0.000
   354        21   (g)                -51   320     0   663   663   213   200     -0.234     -0.258      1.596      1.634      0.000
   355        21   (g)                -52   321   321   662   662   200   137     -0.036     -0.031     -0.112      0.121      0.000
   356        21   (g)                -51   310     0   442   442   214   146     -0.630     -1.380     -0.883      1.756      0.000
   357        21   (g)                -51   310     0   440   441   101   214     -0.010      0.270     -0.624      0.680      0.000
   358        21   (g)                -52   297   297   542   542   192   101     -1.147      2.005     -1.205      2.605      0.000
   359        21   (g)                -51   294     0   603   603   191   215     -0.066      0.248     68.213     68.213      0.000
   360        21   (g)                -51   294     0   374   375   215   129      1.564      0.065    164.870    164.878      0.000
   361        21   (g)                -52   295   295   376   376   129   157     -0.085     -1.557     43.902     43.929      0.000
   362        21   (g)                -51   136     0   424   424   139   216     -0.123      1.166      1.348      1.787      0.000
   363        21   (g)                -51   136     0   422   423   216   115      0.068     -0.080     -0.143      0.177      0.000
   364        21   (g)                -53   583   583   120   120   117   115     -0.000      0.000   1093.342   1093.342      0.000
   365        21   (g)                -51   278     0   445   445   187   217      0.929     -0.408      2.201      2.424      0.000
   366        21   (g)                -51   278     0   443   444   217   163      1.053      0.545      1.489      1.903      0.000
   367        21   (g)                -52   191   191   599   599   163   116     -0.099      0.102     -0.172      0.224      0.000
   368        21   (g)                -51   350     0   496   496   218   212     -0.587      0.707      0.497      1.044      0.000
   369        21   (g)                -51   350     0   404   405   105   218     -0.819     -0.253      1.097      1.392      0.000
   370        -1   (dbar)             -52   249   249   406   406     0   105      0.012      0.419    338.814    338.815      0.330
   371         2   (u)                -51   328     0   627   627   120     0     -0.680      0.028    -50.472     50.478      0.330
   372        -2   (ubar)             -51   328     0   643   643     0   119     -0.751     -0.923    -94.626     94.634      0.330
   373        21   (g)                -52   327   327   641   641   119   202     -0.341     -0.218     -6.862      6.874      0.000
   374        21   (g)                -51   360     0   608   608   215   219      0.577      0.458     79.084     79.088      0.000
   375        21   (g)                -51   360     0   398   399   219   129      0.978     -0.563     90.583     90.590      0.000
   376        21   (g)                -52   361   361   400   400   129   157     -0.076     -1.387     39.105     39.129      0.000
   377        21   (g)                -51   274     0   433   433   220   171      0.324      0.625    -16.341     16.356      0.000
   378        21   (g)                -51   274     0   431   432   123   220      0.069     -0.312     -1.569      1.601      0.000
   379        21   (g)                -52   322   322   478   478   137   123      0.499      1.422     -3.032      3.386      0.000
   380        21   (g)                -51   285     0   452   453   221   110      1.169      0.654      5.252      5.420      0.000
   381        21   (g)                -51   285     0   454   454   189   221      0.993      0.434      9.910      9.969      0.000
   382        21   (g)                -52   346   346   536   536   151   189      0.300      0.150      2.788      2.808      0.000
   383        21   (g)                -51   261     0   389   390   167   222     -0.948      0.859     12.302     12.368      0.000
   384        21   (g)                -51   261     0   644   644   222   181      0.082     -0.183      0.987      1.007      0.000
   385        21   (g)                -52   260   260   631   631   181   142     -0.333     -0.073     15.439     15.443      0.000
   386        21   (g)                -51   289     0   514   514   164   223      0.518      1.071    -17.062     17.103      0.000
   387        21   (g)                -51   289     0   460   460   223   133      0.134     -0.402     -1.841      1.890      0.000
   388        21   (g)                -52   288   288   458   459   133   190     -0.292     -0.681      0.929      1.188      0.000
   389        21   (g)                -51   383     0   638   638   225   222     -0.018      0.657      4.720      4.766      0.000
   390        21   (g)                -51   383     0   645   645   167   225     -0.926      0.159      7.589      7.647      0.000
   391        21   (g)                -52   326   326   635   635   202   167      0.011     -0.113      0.020      0.115      0.000
   392        21   (g)                -51   305     0   416   417   148   226      0.161      0.244     -0.410      0.503      0.000
   393        21   (g)                -51   305     0   418   418   226   195     -0.593      0.344     -5.124      5.169      0.000
   394        21   (g)                -52   306   306   572   572   195   166      0.205      0.365     -1.359      1.422      0.000
   395        -2   (ubar)             -51   237     0   472   472     0   125     -1.444      2.307   -188.749    188.769      0.330
   396         2   (u)                -51   237     0   575   575   172     0     -1.924      1.679   -190.060    190.078      0.330
   397        21   (g)                -52   236   236   562   562   109   172     -2.427      1.905   -282.415    282.432      0.000
   398        21   (g)                -51   375     0   611   611   219   227      0.795     -0.142     63.361     63.366      0.000
   399        21   (g)                -51   375     0   612   612   227   129      0.160     -0.847     39.252     39.262      0.000
   400        21   (g)                -52   376   376   598   598   129   157     -0.052     -0.960     27.074     27.092      0.000
   401        21   (g)                -51   338     0   481   481   228   203     -0.459      0.688     -2.177      2.329      0.000
   402        21   (g)                -51   338     0   479   480   207   228      0.362      1.331     -5.042      5.227      0.000
   403        21   (g)                -52   339   339   607   607   140   207      0.118      0.935     -2.211      2.404      0.000
   404        21   (g)                -51   369     0   428   429   229   218     -0.617     -0.335      2.921      3.004      0.000
   405        21   (g)                -51   369     0   430   430   105   229     -0.203      0.084      0.007      0.219      0.000
   406        -1   (dbar)             -52   370   370   539   539     0   105      0.012      0.417    336.983    336.984      0.330
   407        21   (g)                -51   301     0   487   487   152   230     -2.636     -1.003     -4.874      5.631      0.000
   408        21   (g)                -51   301     0   485   486   230   130     -0.394      0.065     -1.706      1.752      0.000
   409         3   (s)                -52   169   169   591   591   130     0      0.935     -0.734      0.088      1.292      0.500
   410        21   (g)                -51   303     0   659   659   194   231      0.118      0.557   -129.019    129.021      0.000
   411        21   (g)                -51   303     0   665   665   231   138     -1.139      0.632   -295.151    295.154      0.000
   412         1   (d)                -52   304   304   650   650   138     0     -1.911      0.899   -566.687    566.691      0.330
   413        21   (g)                -51   345     0   545   545   232   151      0.088     -0.176      0.248      0.317      0.000
   414        21   (g)                -51   345     0   419   420   209   232      0.732      0.435      6.397      6.453      0.000
   415        21   (g)                -52   344   344   421   421   150   209      0.209     -0.198      0.521      0.595      0.000
   416        21   (g)                -51   392     0   493   493   148   233     -0.213      0.216     -0.328      0.446      0.000
   417        21   (g)                -51   392     0   576   576   233   226     -0.112      0.309     -4.273      4.286      0.000
   418        21   (g)                -52   393   393   574   574   226   195     -0.108      0.063     -0.932      0.940      0.000
   419        21   (g)                -51   414     0   551   551   234   232     -0.104      0.260      1.092      1.127      0.000
   420        21   (g)                -51   414     0   552   552   209   234      1.034     -0.013      5.798      5.890      0.000
   421        21   (g)                -52   415   415   535   535   150   209      0.011     -0.011      0.028      0.032      0.000
   422        21   (g)                -51   363     0   502   502   235   115      0.145      0.249      0.856      0.903      0.000
   423        21   (g)                -51   363     0   500   501   216   235     -0.161      0.476     -0.068      0.507      0.000
   424        21   (g)                -52   362   362   592   592   139   216     -0.038      0.362      0.418      0.554      0.000
   425        21   (g)                -51   324     0   605   605   237   201     -2.589     -1.843     -3.633      4.827      0.000
   426        21   (g)                -51   324     0   446   447   114   237     -0.933     -1.039     -2.590      2.942      0.000
   427        21   (g)                -52   329   329   448   448   203   114     -1.528      0.468     -4.250      4.541      0.000
   428        21   (g)                -51   404     0   494   495   238   218      0.097      0.167      0.909      0.930      0.000
   429        21   (g)                -51   404     0   553   553   229   238     -0.864     -0.440      2.016      2.237      0.000
   430        21   (g)                -52   405   405   550   550   105   229     -0.052      0.021      0.002      0.056      0.000
   431        21   (g)                -51   378     0   476   477   123   239      0.479      0.022     -3.067      3.104      0.000
   432        21   (g)                -51   378     0   666   666   239   220     -0.228      0.015     -7.616      7.619      0.000
   433        21   (g)                -52   377   377   656   656   220   171      0.143      0.276     -7.227      7.234      0.000
   434        21   (g)                -51   353     0   661   661   240   213     -0.185      0.815     16.138     16.160      0.000
   435        21   (g)                -51   353     0   667   667   199   240      0.293      0.190      1.387      1.430      0.000
   436        21   (g)                -52   317   317   439   439   179   199      0.072      0.423      0.372      0.568      0.000
   437        -2   (ubar)             -51   254     0   655   655     0   241      0.726     -0.370     28.337     28.351      0.330
   438        21   (g)                -51   254     0   668   668   241   179     -0.198      0.219      3.117      3.131      0.000
   439        21   (g)                -52   436   436   657   657   179   199      0.064      0.378      0.332      0.507      0.000
   440        21   (g)                -51   357     0   547   547   101   242     -0.519      0.030     -0.366      0.636      0.000
   441        21   (g)                -51   357     0   554   554   242   214      0.270     -0.286     -0.593      0.712      0.000
   442        21   (g)                -52   356   356   534   534   214   146     -0.390     -0.855     -0.547      1.088      0.000
   443        21   (g)                -51   366     0   610   610   243   163      0.641      0.434      0.747      1.076      0.000
   444        21   (g)                -51   366     0   617   617   217   243      1.039     -0.164      2.226      2.462      0.000
   445        21   (g)                -52   365   365   594   594   187   217      0.302     -0.133      0.716      0.789      0.000
   446        21   (g)                -51   426     0   484   484   244   237     -0.817     -1.001     -2.970      3.239      0.000
   447        21   (g)                -51   426     0   482   483   114   244     -0.616      0.115     -1.011      1.189      0.000
   448        21   (g)                -52   427   427   593   593   203   114     -1.028      0.315     -2.859      3.055      0.000
   449        21   (g)                -51   302     0   653   653   245   194      0.852      0.029    -27.263     27.276      0.000
   450        21   (g)                -51   302     0   669   669   144   245     -0.281      0.079    -15.444     15.446      0.000
   451        21   (g)                -52   272   272   652   652   185   144     -0.821     -0.536    -31.844     31.859      0.000
   452        21   (g)                -51   380     0   541   541   246   110      0.330      0.554      2.579      2.659      0.000
   453        21   (g)                -51   380     0   555   555   221   246      1.532      0.403      9.591      9.721      0.000
   454        21   (g)                -52   381   381   549   549   189   221      0.300      0.131      2.992      3.010      0.000
   455        21   (g)                -51   188     0   568   568   106   247      0.002      0.883   -178.267    178.269      0.000
   456        21   (g)                -51   188     0   577   577   247   162      0.199     -0.259    -34.102     34.104      0.000
   457        21   (g)                -52   314   314   563   563   162   198      3.669     -0.795   -711.560    711.569      0.000
   458        21   (g)                -51   388     0   518   518   248   190     -0.476     -0.280      0.754      0.935      0.000
   459        21   (g)                -51   388     0   469   469   133   248      0.203     -0.454     -0.067      0.501      0.000
   460        21   (g)                -52   387   387   467   468   223   133      0.117     -0.350     -1.600      1.641      0.000
   461        21   (g)                -51   257     0   597   597   249   180      0.298     -1.332     -1.437      1.982      0.000
   462        21   (g)                -51   257     0   619   619   156   249      0.265      0.137     -0.661      0.726      0.000
   463        21   (g)                -52   192   192   588   588   116   156      1.218      0.963     -0.816      1.754      0.000
   464        21   (g)                -51   238     0   470   471   125   250     -1.603      2.831   -676.343    676.351      0.000
   465        21   (g)                -51   238     0   499   499   250   107     -0.455      0.023    -81.075     81.076      0.000
   466        21   (g)                -52   265   265   497   498   107   149     -1.467      0.283    -90.935     90.947      0.000
   467        21   (g)                -51   460     0   521   521   223   251      0.254     -0.058     -1.215      1.242      0.000
   468        21   (g)                -51   460     0   523   523   251   133     -0.002     -0.595     -0.429      0.734      0.000
   469        21   (g)                -52   459   459   522   522   133   248      0.067     -0.151     -0.022      0.167      0.000
   470        21   (g)                -51   464     0   564   564   252   250     -0.776      0.921   -309.738    309.741      0.000
   471        21   (g)                -51   464     0   579   579   125   252     -0.907      2.039   -376.665    376.671      0.000
   472        -2   (ubar)             -52   395   395   570   570     0   125     -1.363      2.179   -178.688    178.707      0.330
   473        21   (g)                -51   349     0   632   632   145   253     -0.651     -0.194      2.942      3.020      0.000
   474        21   (g)                -51   349     0   646   646   253   173      0.217     -0.122      0.458      0.521      0.000
   475        21   (g)                -52   268   268   636   636   173   143     -0.182      0.237      0.803      0.857      0.000
   476        21   (g)                -51   431     0   664   664   254   239      0.276     -0.148     -2.086      2.109      0.000
   477        21   (g)                -51   431     0   670   670   123   254      0.412      0.766     -2.251      2.413      0.000
   478        21   (g)                -52   379   379   651   651   137   123      0.290      0.827     -1.762      1.968      0.000
   479        21   (g)                -51   402     0   613   613   207   255     -0.077      0.875     -1.798      2.002      0.000
   480        21   (g)                -51   402     0   620   620   255   228      0.089      0.980     -4.904      5.001      0.000
   481        21   (g)                -52   401   401   606   606   228   203     -0.109      0.163     -0.517      0.553      0.000
   482        21   (g)                -51   447     0   618   618   114   256     -0.144     -0.351     -1.504      1.551      0.000
   483        21   (g)                -51   447     0   621   621   256   244     -1.074     -0.272     -1.696      2.025      0.000
   484        21   (g)                -52   446   446   616   616   244   237     -0.215     -0.263     -0.781      0.852      0.000
   485        21   (g)                -51   408     0   614   614   257   130     -1.855     -0.239     -4.006      4.422      0.000
   486        21   (g)                -51   408     0   622   622   230   257     -0.079     -0.282     -0.547      0.620      0.000
   487        21   (g)                -52   407   407   596   596   152   230     -1.096     -0.417     -2.026      2.341      0.000
   488        21   (g)                -51   307     0   569   569   166   258      0.718      0.111     -1.358      1.540      0.000
   489        21   (g)                -51   307     0   580   580   258   108     -0.104      0.365     -1.141      1.203      0.000
   490         4   (c)                -52   204   204   560   560   108     0      4.740    -11.318     14.754     19.248      1.500
   491        21   (g)                -51   263     0   566   566   182   261     -0.237     -0.038     -3.447      3.456      0.000
   492        21   (g)                -51   263     0   581   581   261   148      0.626      0.166     -4.885      4.928      0.000
   493        21   (g)                -52   416   416   561   561   148   233     -0.144      0.146     -0.222      0.303      0.000
   494        21   (g)                -51   428     0   548   548   238   262      0.065     -0.067     -0.062      0.112      0.000
   495        21   (g)                -51   428     0   556   556   262   218     -0.396      0.750      1.334      1.580      0.000
   496        21   (g)                -52   368   368   529   529   218   212     -0.158      0.191      0.134      0.282      0.000
   497        21   (g)                -51   466     0   567   567   263   149      0.048      0.134    -10.849     10.850      0.000
   498        21   (g)                -51   466     0   582   582   107   263     -1.860      0.167   -141.587    141.599      0.000
   499        21   (g)                -52   465   465   578   578   250   107     -0.110      0.006    -19.574     19.574      0.000
   500        21   (g)                -51   423     0   615   615   216   264      0.144      0.123     -0.166      0.252      0.000
   501        21   (g)                -51   423     0   623   623   264   235     -0.191      0.549      0.771      0.966      0.000
   502        21   (g)                -52   422   422   609   609   235   115      0.031      0.053      0.182      0.192      0.000
   503        21   (g)                -51   269     0   511   511   265   134      0.389      0.178    -22.821     22.825      0.000
   504        21   (g)                -51   269     0   524   524   184   265      0.245      0.871   -130.097    130.100      0.000
   505        21   (g)                -52   270   270   515   515   131   184     -0.403      0.486   -105.946    105.948      0.000
   506        21   (g)                -51   308     0   532   532   196   266      0.417     -0.640    -10.262     10.290      0.000
   507        21   (g)                -51   308     0   557   557   266   127      0.030     -0.016     -0.000      0.034      0.000
   508        -1   (dbar)             -53   527   527   212   212     0   127      0.000     -0.000   -207.148    207.148      0.000
   509        21   (g)                -41   671   671   525   271   267   132      0.000      0.000     10.066     10.066      0.000
   510        21   (g)                -42   672   672   194   194   164   134     -0.000      0.000   -278.900    278.900      0.000
   511        21   (g)                -44   503   503   673   673   265   134      0.389      0.178    -22.811     22.815      0.000
   512        21   (g)                -44   343   343   674   674   161   132     -0.823     -2.115      5.116      5.596      0.000
   513        21   (g)                -44   341   341   675   675   186   208      0.309      0.643      0.934      1.175      0.000
   514        21   (g)                -44   386   386   676   676   164   223      0.517      1.071    -17.052     17.094      0.000
   515        21   (g)                -44   505   505   677   677   131   184     -0.403      0.486   -105.923    105.925      0.000
   516        21   (g)                -44   335   335   678   678   206   186      0.148     -0.220     -0.120      0.291      0.000
   517        21   (g)                -44   337   337   679   679   190   188      0.187      0.205      0.530      0.598      0.000
   518        21   (g)                -44   458   458   680   680   248   190     -0.494     -0.279      0.750      0.940      0.000
   519        21   (g)                -44   336   336   681   681   188   206     -0.676      0.627      0.797      1.219      0.000
   520        21   (g)                -44   342   342   682   682   208   161      0.081     -0.658      0.591      0.888      0.000
   521        21   (g)                -44   467   467   683   683   223   251      0.254     -0.058     -1.212      1.239      0.000
   522        21   (g)                -44   469   469   684   684   133   248      0.066     -0.151     -0.021      0.166      0.000
   523        21   (g)                -44   468   468   685   685   251   133     -0.005     -0.595     -0.429      0.733      0.000
   524        21   (g)                -44   504   504   686   686   184   265      0.245      0.871   -130.062    130.065      0.000
   525        21   (g)                -43   509     0   687   687   267   131      0.206     -0.007      0.080      0.221      0.000
   526        21   (g)                -61     1     0   211   211   124   106     -1.192     -1.150    847.128    847.130      0.000
   527        -1   (dbar)             -61     2     0   508   508     0   124     -0.968      1.981   -207.142    207.154      0.000
   528       663   (Theta)            -62   213   213   702   704     0     0     -1.567     -7.457    -32.715    344.794    343.154
   529        21   (g)                -62   496   496   846     0   218   212     -0.159      0.191      0.136      0.283      0.000
   530        -1   (dbar)             -62   215   215   895     0     0   150      3.972     -0.340      9.475     10.285      0.330
   531        21   (g)                -62   296   296  1103  1103   126   192      0.280      1.215     -0.860      1.514      0.000
   532        21   (g)                -62   506   506  1098  1098   196   266      0.369     -0.542    -10.266     10.287      0.000
   533        21   (g)                -62   332   332  1223  1223   205   106      0.267      1.704     25.987     26.045      0.000
   534        21   (g)                -62   442   442   847     0   214   146     -0.395     -0.848     -0.551      1.085      0.000
   535        21   (g)                -62   421   421   895     0   150   209      0.011     -0.011      0.028      0.032      0.000
   536        21   (g)                -62   382   382   894     0   151   189      0.296      0.146      2.789      2.808      0.000
   537        21   (g)                -62   334   334  1225  1225   110   165     -0.141      0.032     10.452     10.453      0.000
   538         1   (d)                -62   248   248  1096  1096   124     0     -1.240     -1.054    252.439    252.444      0.330
   539        -1   (dbar)             -62   406   406  1109  1109     0   105     -0.462     -0.040    336.984    336.985      0.330
   540        21   (g)                -62   352   352  1104  1104   177   126     -0.752      0.916      0.011      1.185      0.000
   541        21   (g)                -62   452   452  1226  1226   246   110      0.326      0.551      2.582      2.660      0.000
   542        21   (g)                -62   358   358  1102  1102   192   101     -1.157      2.022     -1.192      2.617      0.000
   543        21   (g)                -62   309   309   847     0   146   196     -0.118     -0.159      0.030      0.200      0.000
   544        21   (g)                -62   333   333  1224  1224   165   205      0.875      0.473     18.543     18.570      0.000
   545        21   (g)                -62   413   413   897     0   232   151      0.087     -0.176      0.247      0.316      0.000
   546        21   (g)                -62   351   351   846     0   212   177     -3.907      3.448      4.063      6.608      0.000
   547        21   (g)                -62   440   440  1101  1101   101   242     -0.522      0.035     -0.365      0.638      0.000
   548        21   (g)                -62   494   494  1107  1107   238   262      0.064     -0.066     -0.062      0.111      0.000
   549        21   (g)                -62   454   454   894     0   189   221      0.296      0.127      2.992      3.009      0.000
   550        21   (g)                -62   430   430   848     0   105   229     -0.052      0.022      0.002      0.056      0.000
   551        21   (g)                -62   419   419   897     0   234   232     -0.106      0.258      1.093      1.128      0.000
   552        21   (g)                -62   420   420  1229  1229   209   234      1.026     -0.020      5.796      5.886      0.000
   553        21   (g)                -62   429   429   848     0   229   238     -0.868     -0.441      2.015      2.238      0.000
   554        21   (g)                -62   441   441  1100  1100   242   214      0.266     -0.280     -0.595      0.710      0.000
   555        21   (g)                -62   453   453   896     0   221   246      1.518      0.391      9.591      9.718      0.000
   556        21   (g)                -62   495   495  1106  1106   262   218     -0.399      0.749      1.338      1.585      0.000
   557        21   (g)                -62   507   507  1097  1097   266   124      0.030     -0.015     -0.000      0.034      0.000
   558        21   (g)                -61     1     0   189   189   106   136      0.180     -2.720     21.561     21.733      0.000
   559        21   (g)                -61     2     0   316   316   109   111      1.931     -1.104  -3253.981   3253.982      0.000
   560         4   (c)                -62   490   490  1184  1184   108     0      4.883    -13.455     13.960     20.050      1.500
   561        21   (g)                -62   493   493  1188  1188   148   233     -0.144      0.141     -0.213      0.293      0.000
   562        21   (g)                -62   397   397   853     0   109   172     -2.259      1.808   -282.288    282.303      0.000
   563        21   (g)                -62   457   457  1220  1220   162   198      4.091     -1.037   -711.629    711.641      0.000
   564        21   (g)                -62   470   470   850     0   252   250     -0.592      0.815   -309.680    309.682      0.000
   565        -4   (cbar)             -62   109   109   915   915     0   136     -1.754      0.281      4.056      4.675      1.500
   566        21   (g)                -62   491   491  1190  1190   182   261     -0.235     -0.039     -3.449      3.457      0.000
   567        21   (g)                -62   497   497   851     0   263   149      0.054      0.130    -10.841     10.841      0.000
   568        21   (g)                -62   455   455  1222  1222   106   247      0.107      0.822   -178.213    178.215      0.000
   569        21   (g)                -62   488   488   852     0   166   258      0.719      0.099     -1.354      1.536      0.000
   570        -2   (ubar)             -62   472   472  1195  1195     0   125     -1.257      2.117   -178.548    178.565      0.330
   571        21   (g)                -62   264   264   851     0   149   182     -0.746      0.537    -76.082     76.088      0.000
   572        21   (g)                -62   394   394   852     0   195   166      0.206      0.361     -1.337      1.400      0.000
   573        21   (g)                -62   315   315  1219  1219   198   111      2.878     -0.665   -723.877    723.883      0.000
   574        21   (g)                -62   418   418   849     0   226   195     -0.107      0.062     -0.928      0.936      0.000
   575         2   (u)                -62   396   396   853     0   172     0     -1.811      1.614   -189.949    189.965      0.330
   576        21   (g)                -62   417   417   849     0   233   226     -0.109      0.307     -4.254      4.266      0.000
   577        21   (g)                -62   456   456  1221  1221   247   162      0.219     -0.271    -34.119     34.121      0.000
   578        21   (g)                -62   499   499   850     0   250   107     -0.098     -0.001    -19.573     19.573      0.000
   579        21   (g)                -62   471   471  1194  1194   125   252     -0.684      1.910   -376.536    376.542      0.000
   580        21   (g)                -62   489   489  1185  1185   258   108     -0.103      0.361     -1.118      1.180      0.000
   581        21   (g)                -62   492   492  1189  1189   261   148      0.629      0.162     -4.877      4.920      0.000
   582        21   (g)                -62   498   498  1192  1192   107   263     -1.776      0.118   -141.570    141.581      0.000
   583        21   (g)                -61     1     0   364   364   142   115      2.592      2.069   1093.350   1093.355      0.000
   584         2   (u)                -61     2     0    46    46   159     0     -0.457      1.273   -153.687    153.693      0.000
   585        21   (g)                -62   340   340   870     0   112   140      0.451      2.034     -4.763      5.198      0.000
   586         2   (u)                -62   245   245   861     0   175     0     -0.408     -0.083    -14.198     14.208      0.330
   587        21   (g)                -62   323   323   872     0   201   193     -1.131     -0.184     -2.858      3.079      0.000
   588        21   (g)                -62   463   463  1265  1265   116   156      1.215      0.975     -0.816      1.759      0.000
   589        21   (g)                -62   293   293  1281  1281   117   191      4.205      3.359    796.399    796.417      0.000
   590        21   (g)                -62   280   280   860     0   157   248     -0.457      0.279      4.832      4.861      0.000
   591         3   (s)                -62   409   409   878     0   130     0      0.934     -0.727      0.083      1.288      0.500
   592        21   (g)                -62   424   424   890     0   139   186     -0.037      0.363      0.419      0.556      0.000
   593        21   (g)                -62   448   448   869     0   203   114     -1.037      0.340     -2.855      3.057      0.000
   594        21   (g)                -62   445   445   854     0   187   217      0.304     -0.131      0.715      0.788      0.000
   595        -3   (sbar)             -62   135   135   924   924     0   139     -1.106      1.912      1.080      2.509      0.500
   596        21   (g)                -62   487   487   881     0   152   230     -1.102     -0.398     -2.025      2.340      0.000
   597        21   (g)                -62   461   461   863     0   249   251      0.294     -1.317     -1.442      1.975      0.000
   598        21   (g)                -62   400   400   866     0   129   145      0.012     -0.909     27.072     27.087      0.000
   599        21   (g)                -62   367   367  1266  1266   163   116     -0.100      0.104     -0.172      0.224      0.000
   600        21   (g)                -62   259   259  1260  1260   113   119      2.335     -3.393    -94.787     94.877      0.000
   601        21   (g)                -62   258   258  1262  1262   180   223      0.104      0.339     -0.033      0.356      0.000
   602        21   (g)                -62   279   279   865     0   141   174      0.458     -0.156      4.010      4.039      0.000
   603        21   (g)                -62   359   359  1280  1280   191   215      0.096      0.377     68.214     68.215      0.000
   604        21   (g)                -62   300   300   872     0   193   152     -0.791     -0.300     -2.421      2.565      0.000
   605        21   (g)                -62   425   425   978   978   237   201     -2.601     -1.807     -3.632      4.818      0.000
   606        21   (g)                -62   481   481   876     0   228   169     -0.110      0.168     -0.516      0.554      0.000
   607        21   (g)                -62   403   403   870     0   140   207      0.111      0.954     -2.209      2.408      0.000
   608        21   (g)                -62   374   374  1279  1279   215   219      0.764      0.608     79.085     79.091      0.000
   609        21   (g)                -62   502   502   892     0   235   225      0.031      0.053      0.183      0.193      0.000
   610        21   (g)                -62   443   443   858     0   243   267      0.642      0.438      0.747      1.078      0.000
   611        21   (g)                -62   398   398  1278  1278   219   240      0.945     -0.022     63.359     63.366      0.000
   612        21   (g)                -62   399   399   866     0   227   129      0.253     -0.773     39.249     39.258      0.000
   613        21   (g)                -62   479   479   880     0   207   255     -0.082      0.891     -1.795      2.006      0.000
   614        21   (g)                -62   485   485   975   975   257   160     -1.867     -0.203     -4.002      4.421      0.000
   615        21   (g)                -62   500   500   922   922   216   188      0.143      0.124     -0.166      0.252      0.000
   616        21   (g)                -62   484   484   867     0   244   237     -0.217     -0.256     -0.781      0.851      0.000
   617        21   (g)                -62   444   444   859     0   217   243      1.044     -0.159      2.223      2.461      0.000
   618        21   (g)                -62   482   482   980   980   114   256     -0.149     -0.338     -1.505      1.549      0.000
   619        21   (g)                -62   462   462  1264  1264   156   249      0.263      0.143     -0.662      0.726      0.000
   620        21   (g)                -62   480   480   982   982   255   228      0.074      1.022     -4.901      5.006      0.000
   621        21   (g)                -62   483   483   879     0   256   200     -1.079     -0.256     -1.693      2.024      0.000
   622        21   (g)                -62   486   486   881     0   230   257     -0.080     -0.277     -0.548      0.619      0.000
   623        21   (g)                -62   501   501   891     0   264   173     -0.189      0.552      0.774      0.969      0.000
   624         2   (u)                -61     1     0   244   244   109     0     -0.819      0.335   1898.570   1898.571      0.000
   625        -2   (ubar)             -61     2     0   122   122     0   109     -0.315     -2.166   -426.911    426.917      0.000
   626        21   (g)                -62   292   292   857     0   118   253      1.589      0.201      4.942      5.196      0.000
   627         2   (u)                -62   371   371   884     0   120     0     -0.717     -0.228    -50.472     50.478      0.330
   628         1   (d)                -62   290   290   889     0   183     0      1.326      1.555      3.973      4.479      0.330
   629        -2   (ubar)             -62   126   126  1328  1328     0   147     -2.851     -1.912   -273.985    274.006      0.330
   630         2   (u)                -62   152   152  1327  1327   147     0     -1.548     -1.476   1688.804   1688.806      0.330
   631        21   (g)                -62   385   385   893     0   181   115     -0.340     -0.071     15.439     15.443      0.000
   632        21   (g)                -62   473   473  1275  1275   145   167     -0.652     -0.194      2.943      3.021      0.000
   633        21   (g)                -62   347   347   865     0   174   199      1.901     -0.153     11.299     11.458      0.000
   634        21   (g)                -62   153   153  1282  1282   142   117      0.948      0.196    143.297    143.301      0.000
   635        21   (g)                -62   391   391   868     0   202   133      0.011     -0.113      0.020      0.115      0.000
   636        21   (g)                -62   475   475   888     0   173   128     -0.183      0.237      0.802      0.856      0.000
   637        21   (g)                -62   243   243   888     0   128   190     -0.320      0.204      1.055      1.121      0.000
   638        21   (g)                -62   389   389   942   942   225   241     -0.020      0.657      4.719      4.764      0.000
   639        21   (g)                -62   267   267   887     0   143   264     -0.188      0.126      0.172      0.285      0.000
   640        -1   (dbar)             -62   291   291   892     0     0   235      1.582      1.544      7.797      8.111      0.330
   641        21   (g)                -62   373   373   862     0   119   185     -0.346     -0.253     -6.861      6.874      0.000
   642        21   (g)                -62   348   348   855     0   210   222      0.124     -0.603      3.301      3.358      0.000
   643        -2   (ubar)             -62   372   372   988   988     0   171     -0.821     -1.403    -94.623     94.638      0.330
   644        21   (g)                -62   384   384   855     0   222   141      0.082     -0.183      0.988      1.008      0.000
   645        21   (g)                -62   390   390   860     0   167   157     -0.929      0.160      7.589      7.647      0.000
   646        21   (g)                -62   474   474   854     0   253   187      0.217     -0.122      0.458      0.521      0.000
   647        -2   (ubar)             -61     1     0   224   224     0   124      2.709     -2.616     53.057     53.190      0.000
   648         1   (d)                -61     2     0   313   313   124     0     -1.763      1.747  -1188.207   1188.209      0.000
   649        21   (g)                -62   311   311   871     0   197   206      1.588     -3.315     -0.946      3.796      0.000
   650         1   (d)                -62   412   412  1168  1168   138     0     -2.752      1.732   -566.583    566.593      0.330
   651        21   (g)                -62   478   478   873     0   137   112      0.292      0.824     -1.749      1.955      0.000
   652        21   (g)                -62   451   451   861     0   185   175     -0.868     -0.490    -31.835     31.850      0.000
   653        21   (g)                -62   449   449   875     0   245   220      0.812      0.068    -27.283     27.295      0.000
   654        21   (g)                -62   231   231   869     0   169   203     -0.154      0.054     -0.378      0.412      0.000
   655        -2   (ubar)             -62   437   437  1169  1169     0   138      2.171     -1.766     28.273     28.413      0.330
   656        21   (g)                -62   433   433   874     0   220   164      0.133      0.287     -7.223      7.230      0.000
   657        21   (g)                -62   439   439   886     0   179   216      0.085      0.357      0.339      0.500      0.000
   658        21   (g)                -62   273   273   987   987   171   265     -0.602     -0.722    -98.156     98.160      0.000
   659        21   (g)                -62   410   410   885     0   159   184     -0.074      0.747   -129.001    129.003      0.000
   660        21   (g)                -62   312   312   878     0   122   130      0.972     -0.295     -0.268      1.050      0.000
   661        21   (g)                -62   434   434  1277  1277   240   227      0.638      0.020     16.143     16.156      0.000
   662        21   (g)                -62   355   355   867     0   200   244     -0.036     -0.031     -0.112      0.121      0.000
   663        21   (g)                -62   354   354   864     0   213   210     -0.152     -0.338      1.594      1.636      0.000
   664        21   (g)                -62   476   476   856     0   254   113      0.273     -0.145     -2.097      2.120      0.000
   665        21   (g)                -62   411   411  1148  1148   231   144     -1.577      1.066   -295.089    295.095      0.000
   666        21   (g)                -62   432   432   882     0   239   120     -0.240      0.026     -7.609      7.613      0.000
   667        21   (g)                -62   435   435   857     0   199   118      0.365      0.120      1.382      1.435      0.000
   668        21   (g)                -62   438   438   893     0   241   181     -0.039      0.065      3.123      3.124      0.000
   669        21   (g)                -62   450   450   882     0   144   239     -0.304      0.102    -15.433     15.437      0.000
   670        21   (g)                -62   477   477   873     0   123   137      0.412      0.765     -2.242      2.405      0.000
   671        21   (g)                -61     1     0   509   509   134   134     -1.616      1.378      9.954     10.178      0.000
   672        21   (g)                -61     2     0   510   510   132   132      0.349     -0.978   -278.809    278.810      0.000
   673        21   (g)                -62   511   511   875     0   265   245      0.417      0.098    -22.785     22.789      0.000
   674        21   (g)                -62   512   512  1272  1272   161   213     -1.683     -1.382      5.138      5.580      0.000
   675        21   (g)                -62   513   513   886     0   186   179      0.140      0.787      0.902      1.205      0.000
   676        21   (g)                -62   514   514   874     0   164   123      0.535      1.014    -17.080     17.119      0.000
   677        21   (g)                -62   515   515   883     0   131   231     -0.270      0.115   -105.955    105.956      0.000
   678        21   (g)                -62   516   516   871     0   206   122      0.135     -0.209     -0.094      0.266      0.000
   679        21   (g)                -62   517   517   889     0   190   183      0.096      0.282      0.525      0.603      0.000
   680        21   (g)                -62   518   518  1273  1273   248   161     -0.630     -0.164      0.720      0.970      0.000
   681        21   (g)                -62   519   519   887     0   188   143     -0.838      0.764      0.687      1.325      0.000
   682        21   (g)                -62   520   520   877     0   208   202     -0.038     -0.557      0.635      0.846      0.000
   683        21   (g)                -62   521   521   856     0   223   254      0.253     -0.060     -1.187      1.215      0.000
   684        21   (g)                -62   522   522   868     0   133   197      0.054     -0.141     -0.006      0.152      0.000
   685        21   (g)                -62   523   523   863     0   251   180     -0.029     -0.576     -0.389      0.696      0.000
   686        21   (g)                -62   524   524   885     0   184   155      0.408      0.415   -130.060    130.062      0.000
   687        21   (g)                -62   525   525   858     0   267   163      0.182      0.013      0.095      0.206      0.000
   688        -2   (ubar)             -61     1     0   170   170     0   109     -0.726      1.279     -3.439      3.740      0.000
   689        21   (g)                -61     2     0   171   171   109   154      0.642      0.424   -274.673    274.674      0.000
   690        -2   (ubar)             -62   172   172  1083  1083     0   154      0.317      1.929     -6.362      6.664      0.330
   691        21   (g)                -62   173   173   883     0   155   131     -0.401     -0.226   -271.750    271.750      0.000
   692        -2   (ubar)             -61     1     0   180   180     0   154     -0.334     -0.137     13.475     13.480      0.000
   693        21   (g)                -61     2     0   181   181   154   159      0.559      0.194      0.065      0.595      0.000
   694        -2   (ubar)             -62   182   182  1151  1151     0   159     -0.526      0.982     12.303     12.358      0.330
   695        21   (g)                -62   183   183   974   974   160   208      0.751     -0.925      1.237      1.718      0.000
   696      2101   (ud_0)             -63     1     0  1283  1283     0   142      0.096      0.454   1440.814   1440.814      0.579
   697         2   (u)                -63     1     0  1082  1082   154     0     -0.680      0.447   1214.323   1214.324      0.330
   698         2   (u)                -63     1     0   914   914   136     0      0.052     -0.106     13.161     13.166      0.330
   699         2   (u)                -63     1     0   940   940   115     0     -0.261      0.767    393.834    393.835      0.330
   700      2203   (uu_1)             -63     2     0   932   932     0   109      0.511     -0.728  -1130.819   1130.820      0.771
   701         1   (d)                -63     2     0  1218  1218   111     0     -0.489     -0.643    -81.625     81.629      0.330
   702        21   (g)                -23   528     0   705   706   102   104     56.577     23.498    -98.854    116.298      0.000
   703        21   (g)                -23   528     0   710   710   103   102     14.421     -3.672    -70.145     71.706      0.000
   704        21   (g)                -23   528     0   707   707   104   103    -72.565    -27.283    136.283    156.790      0.000
   705         3   (s)                -51   702     0   714   715   102     0     69.411    -15.850    -60.411     93.375      0.500
   706        -3   (sbar)             -51   702     0   731   731     0   104    -23.610     35.297    -18.206     46.206      0.500
   707        21   (g)                -52   704   704   708   709   104   103    -61.789    -23.231    116.046    133.507      0.000
   708        21   (g)                -51   707     0   713   713   104   274    -65.503    -16.703     99.383    120.195      0.000
   709        21   (g)                -51   707     0   711   712   274   103      4.267     -6.669     13.974     16.061      0.000
   710        21   (g)                -52   703   703   716   716   103   102     13.868     -3.531    -67.456     68.958      0.000
   711        21   (g)                -51   709     0   719   719   275   103     -8.878      2.091     18.444     20.576      0.000
   712        21   (g)                -51   709     0   723   724   274   275     -0.094    -12.135     15.616     19.777      0.000
   713        21   (g)                -52   708   708   725   725   104   274    -52.265    -13.328     79.298     95.903      0.000
   714         3   (s)                -51   705     0   743   743   276     0     61.056    -17.635    -59.327     86.941      0.500
   715        21   (g)                -51   705     0   734   734   102   276      9.226      1.564     -5.321     10.765      0.000
   716        21   (g)                -52   710   710   717   718   103   102     12.997     -3.310    -63.219     64.626      0.000
   717        21   (g)                -51   716     0   732   733   277   102      6.182     -0.592    -49.594     49.981      0.000
   718        21   (g)                -51   716     0   720   721   103   277      6.636     -2.676    -13.253     15.061      0.000
   719        21   (g)                -52   711   711   722   722   275   103     -8.698      2.048     18.071     20.160      0.000
   720        21   (g)                -51   718     0   759   760   278   277      0.604      0.709     -8.369      8.420      0.000
   721        21   (g)                -51   718     0   747   748   103   278      5.605     -3.284     -3.999      7.628      0.000
   722        21   (g)                -52   719   719   749   749   275   103     -8.272      1.948     17.186     19.172      0.000
   723        21   (g)                -51   712     0   744   745   280   275     -3.115     -5.246     11.010     12.587      0.000
   724        21   (g)                -51   712     0   728   728   274   280      1.273     -7.335      7.259     10.398      0.000
   725        21   (g)                -52   713   713   726   727   104   274    -50.516    -12.882     76.645     92.694      0.000
   726        21   (g)                -51   725     0   729   730   104   281    -35.596     -7.086     53.296     64.481      0.000
   727        21   (g)                -51   725     0   750   751   281   274    -14.886     -5.991     23.542     28.491      0.000
   728        21   (g)                -52   724   724   746   746   274   280      1.239     -7.140      7.065     10.121      0.000
   729        21   (g)                -51   726     0   740   740   282   281    -31.565     -6.799     50.197     59.685      0.000
   730        21   (g)                -51   726     0   737   737   104   282     -4.211     -0.019      2.961      5.148      0.000
   731        -3   (sbar)             -52   706   706   735   736     0   104    -23.430     35.028    -18.067     45.854      0.500
   732         1   (d)                -51   717     0   785   785   277     0      6.972      0.209    -45.285     45.820      0.330
   733        -1   (dbar)             -51   717     0   794   794     0   102     -0.391     -0.733     -4.538      4.625      0.330
   734        21   (g)                -52   715   715   741   742   102   276      8.828      1.496     -5.092     10.300      0.000
   735        -3   (sbar)             -51   731     0   765   766     0   283    -16.222     24.808    -13.916     32.749      0.500
   736        21   (g)                -51   731     0   767   767   283   104     -7.288     10.220     -4.094     13.203      0.000
   737        21   (g)                -52   730   730   738   739   104   282     -4.131     -0.018      2.904      5.050      0.000
   738        21   (g)                -51   737     0   753   754   104   284     -7.050     -1.130      7.102     10.070      0.000
   739        21   (g)                -51   737     0   755   755   284   282     -0.267      0.425      0.870      1.004      0.000
   740        21   (g)                -52   729   729   752   752   282   281    -28.379     -6.112     45.130     53.660      0.000
   741        21   (g)                -51   734     0   770   770   102   285      5.204      0.822     -2.073      5.662      0.000
   742        21   (g)                -51   734     0   768   769   285   276      6.058     -0.029     -5.384      8.105      0.000
   743         3   (s)                -52   714   714   780   781   276     0     58.622    -16.932    -56.961     83.475      0.500
   744        21   (g)                -51   723     0   776   776   286   275     -2.493     -3.752      6.370      7.802      0.000
   745        21   (g)                -51   723     0   764   764   280   286     -0.488     -2.267      5.405      5.882      0.000
   746        21   (g)                -52   728   728   762   763   274   280      1.105     -6.366      6.300      9.024      0.000
   747        21   (g)                -51   721     0   761   761   287   278      3.979     -1.698     -1.794      4.683      0.000
   748        21   (g)                -51   721     0   810   811   103   287      1.576     -1.575     -2.100      3.062      0.000
   749        21   (g)                -52   722   722   774   775   275   103     -8.222      1.936     17.081     19.056      0.000
   750        21   (g)                -51   727     0   758   758   288   274    -17.888     -6.159     27.080     33.034      0.000
   751        21   (g)                -51   727     0   756   757   281   288     -3.213     -1.170      6.346      7.208      0.000
   752        21   (g)                -52   740   740   773   773   282   281    -22.164     -4.774     35.246     41.908      0.000
   753        21   (g)                -51   738     0   798   799   104   290     -0.623     -0.475      0.500      0.929      0.000
   754        21   (g)                -51   738     0   800   800   290   284     -6.545     -0.467      6.986      9.584      0.000
   755        21   (g)                -52   739   739   771   772   284   282     -0.149      0.238      0.486      0.561      0.000
   756        21   (g)                -51   751     0   791   791   281   291     -8.289     -2.416     12.274     15.007      0.000
   757        21   (g)                -51   751     0   789   790   291   288     -5.415     -2.366      9.952     11.574      0.000
   758        21   (g)                -52   750   750   797   797   288   274     -7.398     -2.547     11.199     13.662      0.000
   759        21   (g)                -51   720     0   783   784   292   277      0.269      1.053     -6.861      6.947      0.000
   760        21   (g)                -51   720     0   803   803   278   292      0.624     -0.468     -1.638      1.814      0.000
   761        21   (g)                -52   747   747   801   802   287   278      3.689     -1.574     -1.663      4.342      0.000
   762        21   (g)                -51   746     0   795   796   274   293      0.523     -0.688      0.711      1.119      0.000
   763        21   (g)                -51   746     0   777   778   293   280      0.494     -6.084      6.557      8.959      0.000
   764        21   (g)                -52   745   745   779   779   280   286     -0.400     -1.861      4.437      4.828      0.000
   765        -3   (sbar)             -51   735     0  1038  1038     0   294    -17.845     26.959    -14.568     35.465      0.500
   766        21   (g)                -51   735     0  1037  1037   294   283     -0.187      0.388     -0.365      0.564      0.000
   767        21   (g)                -52   736   736   833   833   283   104     -5.478      7.681     -3.077      9.923      0.000
   768        21   (g)                -51   742     0   782   782   295   276      3.109      0.531     -3.052      4.389      0.000
   769        21   (g)                -51   742     0   807   808   285   295      4.213     -0.360     -2.836      5.091      0.000
   770        21   (g)                -52   741   741   792   793   102   285      3.940      0.622     -1.569      4.286      0.000
   771        21   (g)                -51   755     0  1032  1032   284   296     -0.040     -0.209      0.623      0.658      0.000
   772        21   (g)                -51   755     0   843   844   296   282     -5.332     -0.679      8.169      9.779      0.000
   773        21   (g)                -52   752   752   845   845   282   281    -16.941     -3.649     26.940     32.032      0.000
   774        21   (g)                -51   749     0   812   812   297   103     -5.366      1.798     11.324     12.660      0.000
   775        21   (g)                -51   749     0   822   823   275   297     -2.933      0.022      5.954      6.637      0.000
   776        21   (g)                -52   744   744   837   838   286   275     -2.416     -3.636      6.174      7.561      0.000
   777        21   (g)                -51   763     0   821   821   293   298      0.813     -4.076      4.833      6.375      0.000
   778        21   (g)                -51   763     0   819   820   298   280     -0.408     -2.423      2.711      3.659      0.000
   779        21   (g)                -52   764   764  1022  1022   280   286     -0.311     -1.447      3.449      3.753      0.000
   780         3   (s)                -51   743     0   952   952   299     0     46.222    -13.751    -45.413     66.243      0.500
   781        21   (g)                -51   743     0   788   788   276   299     12.534     -3.158    -11.681     17.422      0.000
   782        21   (g)                -52   768   768   786   787   295   276      2.974      0.508     -2.920      4.199      0.000
   783        21   (g)                -51   759     0   827   827   292   300     -0.028      0.350     -5.779      5.789      0.000
   784        21   (g)                -51   759     0   804   805   300   277      1.106      0.725     -6.322      6.459      0.000
   785         1   (d)                -52   732   732   806   806   277     0      6.163      0.187    -40.045     40.519      0.330
   786        21   (g)                -51   782     0   828   829   295   301      1.139     -0.059     -0.532      1.259      0.000
   787        21   (g)                -51   782     0   830   830   301   276      4.047      0.010     -4.449      6.014      0.000
   788        21   (g)                -52   781   781   953   953   276   299     10.322     -2.601     -9.620     14.348      0.000
   789        21   (g)                -51   757     0  1028  1028   302   288     -8.390     -3.486     14.455     17.074      0.000
   790        21   (g)                -51   757     0   903     0   291   302     -2.147     -0.373      3.083      3.776      0.000
   791        21   (g)                -52   756   756   903     0   281   291     -3.166     -0.923      4.688      5.731      0.000
   792        21   (g)                -51   770     0   809   809   303   285      4.068      0.571     -1.875      4.516      0.000
   793        21   (g)                -51   770     0   900     0   102   303     -0.169     -0.020     -0.135      0.217      0.000
   794        -1   (dbar)             -52   733   733   900     0     0   102     -0.350     -0.661     -4.098      4.179      0.330
   795        21   (g)                -51   762     0   816   817   304   293      0.204     -1.083      0.828      1.379      0.000
   796        21   (g)                -51   762     0   818   818   274   304     -0.348      0.166      0.893      0.973      0.000
   797        21   (g)                -52   758   758  1027  1027   288   274     -6.731     -2.317     10.189     12.429      0.000
   798        21   (g)                -51   753     0   831   832   104   305     -0.660     -0.520      1.026      1.326      0.000
   799        21   (g)                -51   753     0   906     0   305   290     -2.922     -0.166      2.632      3.936      0.000
   800        21   (g)                -52   754   754   906     0   290   284     -3.586     -0.256      3.827      5.251      0.000
   801        21   (g)                -51   761     0  1014  1014   287   306      0.260     -0.297      0.050      0.399      0.000
   802        21   (g)                -51   761     0   834   835   306   278      3.578     -1.389     -2.106      4.378      0.000
   803        21   (g)                -52   760   760   836   836   278   292      0.475     -0.356     -1.246      1.380      0.000
   804        21   (g)                -51   784     0   825   826   300   307      2.149      0.429    -10.475     10.702      0.000
   805        21   (g)                -51   784     0   901     0   307   277      0.636      0.332     -6.773      6.811      0.000
   806         1   (d)                -52   785   785   910   910   277     0      4.485      0.152    -29.120     29.465      0.330
   807        21   (g)                -51   769     0   956   956   308   295      4.113     -0.456     -2.570      4.871      0.000
   808        21   (g)                -51   769     0   898     0   285   308      2.556      0.440     -1.398      2.946      0.000
   809        21   (g)                -52   792   792   898     0   303   285      1.612      0.226     -0.743      1.789      0.000
   810        21   (g)                -51   748     0   842   842   309   287      1.742     -1.295     -1.612      2.704      0.000
   811        21   (g)                -51   748     0   815   815   103   309     -0.226     -0.260     -0.362      0.500      0.000
   812        21   (g)                -52   774   774   813   814   297   103     -5.306      1.778     11.198     12.518      0.000
   813        21   (g)                -51   812     0   824   824   297   310     -5.348      1.565     10.936     12.274      0.000
   814        21   (g)                -51   812     0  1017  1017   310   103      0.019      0.187      0.226      0.294      0.000
   815        21   (g)                -52   811   811   840   841   103   309     -0.204     -0.234     -0.326      0.450      0.000
   816        21   (g)                -51   795     0  1025  1025   311   293     -0.131     -1.120      1.088      1.567      0.000
   817        21   (g)                -51   795     0   907     0   304   311      0.176      0.113      0.149      0.256      0.000
   818        21   (g)                -52   796   796   907     0   274   304     -0.189      0.090      0.485      0.528      0.000
   819        21   (g)                -51   778     0  1023  1023   312   280     -0.225     -2.884      2.786      4.017      0.000
   820        21   (g)                -51   778     0   904     0   298   312      0.271     -1.809      2.618      3.194      0.000
   821        21   (g)                -52   777   777   904     0   293   298      0.360     -1.805      2.140      2.823      0.000
   822        21   (g)                -51   775     0   839   839   275   313     -2.948      0.444      6.946      7.558      0.000
   823        21   (g)                -51   775     0   909     0   313   297     -2.990      0.458      5.154      5.976      0.000
   824        21   (g)                -52   813   813   909     0   297   310     -2.342      0.686      4.790      5.376      0.000
   825        -2   (ubar)             -51   804     0   901     0     0   307      0.872      0.231     -6.609      6.678      0.330
   826         2   (u)                -51   804     0  1010  1010   300     0      1.268      0.300     -5.556      5.717      0.330
   827        21   (g)                -52   783   783  1011  1011   292   300     -0.020      0.247     -4.089      4.096      0.000
   828        21   (g)                -51   786     0   955   955   295   314      2.245      0.325     -1.759      2.871      0.000
   829        21   (g)                -51   786     0   899     0   314   301      1.203     -0.379     -1.312      1.820      0.000
   830        21   (g)                -52   787   787   899     0   301   276      1.737      0.004     -1.910      2.582      0.000
   831        21   (g)                -51   798     0  1034  1034   315   305     -1.024     -0.335      1.067      1.516      0.000
   832        21   (g)                -51   798     0  1035  1035   104   315      0.107      0.176     -0.186      0.277      0.000
   833        21   (g)                -52   767   767  1036  1036   283   104     -5.220      7.319     -2.932      9.456      0.000
   834        21   (g)                -51   802     0  1013  1013   306   316      2.720     -1.237     -1.400      3.299      0.000
   835        21   (g)                -51   802     0   908     0   316   278      1.012     -0.267     -1.108      1.524      0.000
   836        21   (g)                -52   803   803   908     0   278   292      0.321     -0.241     -0.843      0.934      0.000
   837        21   (g)                -51   776     0  1021  1021   286   317     -2.369     -3.467      5.612      7.009      0.000
   838        21   (g)                -51   776     0  1020  1020   317   275     -0.336     -0.126      1.242      1.292      0.000
   839        21   (g)                -52   822   822  1019  1019   275   313     -2.659      0.400      6.266      6.818      0.000
   840        21   (g)                -51   815     0  1016  1016   103   318      0.031     -0.634     -0.843      1.056      0.000
   841        21   (g)                -51   815     0   905     0   318   309      0.576     -0.203     -0.233      0.654      0.000
   842        21   (g)                -52   810   810   905     0   309   287      0.931     -0.692     -0.861      1.445      0.000
   843        21   (g)                -51   772     0  1031  1031   296   319     -7.686     -1.247     12.620     14.829      0.000
   844        21   (g)                -51   772     0   902     0   319   282    -12.861     -2.709     19.744     23.719      0.000
   845        21   (g)                -52   773   773   902     0   282   281     -1.726     -0.372      2.745      3.264      0.000
   846        21   (g)                -73   529   546  1105  1105   218   177     -4.066      3.639      4.199      6.891      0.284
   847        21   (g)                -73   534   543  1099  1099   214   196     -0.513     -1.006     -0.521      1.285      0.324
   848        21   (g)                -73   550   553  1108  1108   105   238     -0.920     -0.420      2.017      2.294      0.416
   849        21   (g)                -73   574   576  1187  1187   233   195     -0.216      0.369     -5.181      5.202      0.179
   850        21   (g)                -73   564   578  1193  1193   252   107     -0.691      0.814   -329.253    329.255      0.320
   851        21   (g)                -73   567   571  1191  1191   263   182     -0.692      0.667    -86.923     86.929      0.448
   852        21   (g)                -73   569   572  1186  1186   195   258      0.925      0.460     -2.691      2.936      0.560
   853         2   (u)                -73   562   575   931   931   109     0     -4.070      3.421   -472.237    472.268      0.794
   854        21   (g)                -73   594   646   859     0   253   217      0.521     -0.253      1.173      1.309      0.051
   855        21   (g)                -73   642   644   864     0   210   141      0.206     -0.786      4.289      4.366      0.082
   856        21   (g)                -73   664   683  1261  1261   223   113      0.526     -0.205     -3.284      3.335      0.133
   857        21   (g)                -73   626   667  1269  1269   199   253      1.954      0.322      6.325      6.630      0.190
   858        21   (g)                -73   610   687  1267  1267   243   163      0.824      0.451      0.842      1.283      0.236
   859        21   (g)                -73   617   854  1268  1268   253   243      1.565     -0.412      3.396      3.770      0.252
   860        21   (g)                -73   590   645  1274  1274   167   248     -1.387      0.439     12.421     12.509      0.279
   861         2   (u)                -73   586   652   862     0   185     0     -1.276     -0.573    -46.033     46.058      0.628
   862         2   (u)                -73   641   861  1259  1259   119     0     -1.622     -0.826    -52.894     52.933      0.898
   863        21   (g)                -73   597   685  1263  1263   249   180      0.265     -1.893     -1.831      2.670      0.355
   864        21   (g)                -73   663   855  1271  1271   213   141      0.054     -1.124      5.883      6.002      0.393
   865        21   (g)                -73   602   633  1270  1270   141   199      2.359     -0.309     15.309     15.497      0.398
   866        21   (g)                -73   598   612  1276  1276   227   145      0.265     -1.682     66.321     66.345      0.493
   867        21   (g)                -73   616   662   879     0   200   237     -0.253     -0.287     -0.893      0.972      0.020
   868        21   (g)                -73   635   684   877     0   202   197      0.065     -0.254      0.014      0.267      0.046
   869        21   (g)                -73   593   654   876     0   169   114     -1.191      0.393     -3.234      3.468      0.047
   870        21   (g)                -73   585   607   880     0   112   207      0.562      2.988     -6.971      7.607      0.145
   871        21   (g)                -73   649   678   972   972   197   122      1.723     -3.524     -1.039      4.061      0.162
   872        21   (g)                -73   587   604   977   977   201   152     -1.922     -0.484     -5.279      5.644      0.235
   873        21   (g)                -73   651   670   984   984   123   112      0.705      1.590     -3.991      4.360      0.243
   874        21   (g)                -73   656   676   985   985   220   123      0.668      1.301    -24.304     24.349      0.261
   875        21   (g)                -73   653   673   986   986   265   220      1.229      0.167    -50.068     50.084      0.289
   876        21   (g)                -73   606   869   981   981   228   114     -1.301      0.561     -3.750      4.022      0.334
   877        21   (g)                -73   682   868   973   973   208   197      0.027     -0.811      0.649      1.112      0.397
   878         3   (s)                -73   591   660   971   971   122     0      1.906     -1.022     -0.185      2.338      0.869
   879        21   (g)                -73   621   867   979   979   256   237     -1.332     -0.543     -2.586      2.996      0.466
   880        21   (g)                -73   613   870   983   983   112   255      0.480      3.879     -8.767      9.613      0.525
   881        21   (g)                -73   596   622   976   976   152   257     -1.183     -0.675     -2.572      2.958      0.530
   882        21   (g)                -73   666   669   884     0   144   120     -0.543      0.127    -23.042     23.049      0.133
   883        21   (g)                -73   677   691  1149  1149   155   231     -0.672     -0.111   -377.705    377.706      0.373
   884         2   (u)                -73   627   882  1147  1147   144     0     -1.260     -0.101    -73.514     73.528      0.659
   885        21   (g)                -73   659   686  1150  1150   159   155      0.334      1.163   -259.062    259.065      0.586
   886        21   (g)                -73   657   675   890     0   186   216      0.225      1.144      1.241      1.705      0.084
   887        21   (g)                -73   639   681   921   921   188   264     -1.026      0.890      0.859      1.610      0.099
   888        21   (g)                -73   636   637   891     0   173   190     -0.502      0.441      1.858      1.977      0.117
   889         1   (d)                -73   628   679   919   919   190     0      1.422      1.837      4.497      5.083      0.462
   890        21   (g)                -73   592   886   923   923   139   216      0.188      1.507      1.661      2.261      0.218
   891        21   (g)                -73   623   888   920   920   264   190     -0.691      0.992      2.631      2.946      0.543
   892        -1   (dbar)             -73   609   640   943   943     0   225      1.614      1.597      7.980      8.304      0.354
   893        21   (g)                -73   631   668   941   941   241   115     -0.379     -0.005     18.563     18.568      0.189
   894        21   (g)                -73   536   549   896     0   151   221      0.591      0.273      5.781      5.817      0.035
   895        -1   (dbar)             -73   530   535  1230  1230     0   209      3.983     -0.351      9.503     10.317      0.374
   896        21   (g)                -73   555   894  1227  1227   151   246      2.110      0.664     15.372     15.535      0.421
   897        21   (g)                -73   545   551  1228  1228   234   151     -0.019      0.082      1.340      1.444      0.530
   898        21   (g)                -73   808   809   957   957   303   308      4.168      0.666     -2.141      4.735      0.165
   899        21   (g)                -73   829   830   954   954   314   276      2.941     -0.375     -3.222      4.402      0.458
   900        -1   (dbar)             -73   793   794   958   958     0   303     -0.519     -0.681     -4.233      4.396      0.822
   901        -2   (ubar)             -73   805   825   911   911     0   277      1.508      0.563    -13.382     13.489      0.542
   902        21   (g)                -73   844   845  1030  1030   319   281    -14.587     -3.081     22.489     26.982      0.140
   903        21   (g)                -73   790   791  1029  1029   281   302     -5.313     -1.296      7.771      9.507      0.299
   904        21   (g)                -73   820   821  1024  1024   293   312      0.631     -3.614      4.758      6.017      0.314
   905        21   (g)                -73   841   842  1015  1015   318   287      1.507     -0.895     -1.095      2.098      0.366
   906        21   (g)                -73   799   800  1033  1033   305   284     -6.508     -0.422      6.459      9.187      0.386
   907        21   (g)                -73   817   818  1026  1026   274   311     -0.013      0.203      0.634      0.785      0.415
   908        21   (g)                -73   835   836  1012  1012   316   292      1.334     -0.508     -1.952      2.459      0.446
   909        21   (g)                -73   823   824  1018  1018   313   310     -5.333      1.143      9.944     11.352      0.494
   910         1   (d)                -71   806   806   912   913   277     0      4.485      0.152    -29.120     29.465      0.330
   911        -2   (ubar)             -71   901   901   912   913     0   277      1.508      0.563    -13.382     13.489      0.542
   912       111   (pi0)              -82   910   911  1541  1542     0     0      5.805      0.768    -38.220     38.666      0.135
   913      -211   pi-                 82   910   911     0     0     0     0      0.188     -0.053     -4.282      4.289      0.140
   914         2   (u)                -71   698   698   916   918   136     0      0.052     -0.106     13.161     13.166      0.330
   915        -4   (cbar)             -71   565   565   916   918     0   136     -1.754      0.281      4.056      4.675      1.500
   916       321   K+                  83   914   915     0     0     0     0     -0.049     -0.122      9.675      9.689      0.494
   917      -321   K-                  84   914   915     0     0     0     0     -0.408      0.317      1.400      1.572      0.494
   918      -423   (D*bar0)           -84   914   915  1543  1544     0     0     -1.244     -0.019      6.142      6.580      2.007
   919         1   (d)                -71   889   889   925   930   190     0      1.422      1.837      4.497      5.083      0.462
   920        21   (g)                -71   891   891   925   930   264   190     -0.691      0.992      2.631      2.946      0.543
   921        21   (g)                -71   887   887   925   930   188   264     -1.026      0.890      0.859      1.610      0.099
   922        21   (g)                -71   615   615   925   930   216   188      0.143      0.124     -0.166      0.252      0.000
   923        21   (g)                -71   890   890   925   930   139   216      0.188      1.507      1.661      2.261      0.218
   924        -3   (sbar)             -71   595   595   925   930     0   139     -1.106      1.912      1.080      2.509      0.500
   925      -211   pi-                 83   919   924     0     0     0     0      0.204      0.044      0.389      0.463      0.140
   926       323   (K*+)              -83   919   924  1347  1348     0     0      0.615      2.594      5.914      6.543      0.856
   927      -311   (Kbar0)            -83   919   924  1349  1349     0     0     -0.419      0.380     -0.042      0.755      0.498
   928      2112   n0                  83   919   924     0     0     0     0      0.027      0.646      1.524      1.903      0.940
   929     -2212   pbar-               84   919   924     0     0     0     0     -0.950      2.203      1.751      3.115      0.938
   930       321   K+                  84   919   924     0     0     0     0     -0.547      1.395      1.026      1.881      0.494
   931         2   (u)                -71   853   853   933   939   109     0     -4.070      3.421   -472.237    472.268      0.794
   932      2203   (uu_1)             -71   700   700   933   939     0   109      0.511     -0.728  -1130.819   1130.820      0.771
   933       111   (pi0)              -83   931   932  1545  1546     0     0     -1.186      1.118   -134.394    134.404      0.135
   934      2212   p+                  83   931   932     0     0     0     0     -0.602      0.638   -210.988    210.992      0.938
   935       111   (pi0)              -83   931   932  1547  1548     0     0     -1.108      0.488   -146.907    146.912      0.135
   936     -2212   pbar-               83   931   932     0     0     0     0     -0.750      0.361    -88.626     88.635      0.938
   937       113   (rho0)             -84   931   932  1350  1351     0     0      0.046      0.133   -134.182    134.184      0.700
   938      2212   p+                  84   931   932     0     0     0     0     -0.162      0.470   -632.198    632.199      0.938
   939       211   pi+                 84   931   932     0     0     0     0      0.203     -0.515   -255.762    255.763      0.140
   940         2   (u)                -71   699   699   944   951   115     0     -0.261      0.767    393.834    393.835      0.330
   941        21   (g)                -71   893   893   944   951   241   115     -0.379     -0.005     18.563     18.568      0.189
   942        21   (g)                -71   638   638   944   951   225   241     -0.020      0.657      4.719      4.764      0.000
   943        -1   (dbar)             -71   892   892   944   951     0   225      1.614      1.597      7.980      8.304      0.354
   944       111   (pi0)              -83   940   943  1549  1550     0     0     -0.026      0.241     80.449     80.450      0.135
   945       211   pi+                 83   940   943     0     0     0     0      0.136      0.251    194.944    194.945      0.140
   946       313   (K*0)              -83   940   943  1352  1353     0     0     -0.325      0.375    111.831    111.836      0.949
   947      -311   (Kbar0)            -84   940   943  1354  1354     0     0     -0.355      0.349     19.287     19.300      0.498
   948       313   (K*0)              -84   940   943  1355  1356     0     0      0.193      0.172      5.266      5.344      0.874
   949      -321   K-                  84   940   943     0     0     0     0      0.295      0.232      4.686      4.727      0.494
   950       111   (pi0)              -84   940   943  1551  1552     0     0     -0.007      0.079      1.208      1.218      0.135
   951       213   (rho+)             -84   940   943  1357  1358     0     0      1.042      1.318      7.423      7.651      0.781
   952         3   (s)                -71   780   780   959   970   299     0     46.222    -13.751    -45.413     66.243      0.500
   953        21   (g)                -71   788   788   959   970   276   299     10.322     -2.601     -9.620     14.348      0.000
   954        21   (g)                -71   899   899   959   970   314   276      2.941     -0.375     -3.222      4.402      0.458
   955        21   (g)                -71   828   828   959   970   295   314      2.245      0.325     -1.759      2.871      0.000
   956        21   (g)                -71   807   807   959   970   308   295      4.113     -0.456     -2.570      4.871      0.000
   957        21   (g)                -71   898   898   959   970   303   308      4.168      0.666     -2.141      4.735      0.165
   958        -1   (dbar)             -71   900   900   959   970     0   303     -0.519     -0.681     -4.233      4.396      0.822
   959      -313   (K*bar0)           -83   952   958  1359  1360     0     0     12.348     -2.842    -11.931     17.424      0.855
   960      -213   (rho-)             -83   952   958  1361  1362     0     0     20.603     -6.627    -20.368     29.727      0.678
   961      2212   p+                  83   952   958     0     0     0     0     14.704     -3.735    -14.489     21.000      0.938
   962     -2212   pbar-               83   952   958     0     0     0     0      8.524     -2.223     -7.629     11.691      0.938
   963       211   pi+                 83   952   958     0     0     0     0      1.163     -0.396     -1.596      2.019      0.140
   964      -213   (rho-)             -83   952   958  1363  1364     0     0      5.822     -0.683     -4.631      7.517      0.842
   965       211   pi+                 83   952   958     0     0     0     0      0.756     -0.052     -0.169      0.789      0.140
   966      -211   pi-                 83   952   958     0     0     0     0      5.151     -0.094     -4.147      6.615      0.140
   967       111   (pi0)              -84   952   958  1553  1554     0     0      0.041      0.277     -0.211      0.376      0.135
   968      2212   p+                  84   952   958     0     0     0     0      0.230     -0.042     -1.202      1.543      0.938
   969     -2112   nbar0               84   952   958     0     0     0     0      0.058     -0.274     -1.840      2.085      0.940
   970       223   (omega)            -84   952   958  1555  1557     0     0      0.094     -0.179     -0.744      1.081      0.758
   971         3   (s)                -71   878   878   989  1009   122     0      1.906     -1.022     -0.185      2.338      0.869
   972        21   (g)                -71   871   871   989  1009   197   122      1.723     -3.524     -1.039      4.061      0.162
   973        21   (g)                -71   877   877   989  1009   208   197      0.027     -0.811      0.649      1.112      0.397
   974        21   (g)                -71   695   695   989  1009   160   208      0.751     -0.925      1.237      1.718      0.000
   975        21   (g)                -71   614   614   989  1009   257   160     -1.867     -0.203     -4.002      4.421      0.000
   976        21   (g)                -71   881   881   989  1009   152   257     -1.183     -0.675     -2.572      2.958      0.530
   977        21   (g)                -71   872   872   989  1009   201   152     -1.922     -0.484     -5.279      5.644      0.235
   978        21   (g)                -71   605   605   989  1009   237   201     -2.601     -1.807     -3.632      4.818      0.000
   979        21   (g)                -71   879   879   989  1009   256   237     -1.332     -0.543     -2.586      2.996      0.466
   980        21   (g)                -71   618   618   989  1009   114   256     -0.149     -0.338     -1.505      1.549      0.000
   981        21   (g)                -71   876   876   989  1009   228   114     -1.301      0.561     -3.750      4.022      0.334
   982        21   (g)                -71   620   620   989  1009   255   228      0.074      1.022     -4.901      5.006      0.000
   983        21   (g)                -71   880   880   989  1009   112   255      0.480      3.879     -8.767      9.613      0.525
   984        21   (g)                -71   873   873   989  1009   123   112      0.705      1.590     -3.991      4.360      0.243
   985        21   (g)                -71   874   874   989  1009   220   123      0.668      1.301    -24.304     24.349      0.261
   986        21   (g)                -71   875   875   989  1009   265   220      1.229      0.167    -50.068     50.084      0.289
   987        21   (g)                -71   658   658   989  1009   171   265     -0.602     -0.722    -98.156     98.160      0.000
   988        -2   (ubar)             -71   643   643   989  1009     0   171     -0.821     -1.403    -94.623     94.638      0.330
   989      -313   (K*bar0)           -83   971   988  1365  1366     0     0      1.357     -1.122     -0.293      2.014      0.931
   990      -213   (rho-)             -83   971   988  1367  1368     0     0      1.379     -2.268      0.264      2.850      1.003
   991       213   (rho+)             -83   971   988  1369  1370     0     0      0.445     -0.856     -0.263      1.252      0.754
   992       223   (omega)            -83   971   988  1558  1560     0     0      0.578     -0.814      0.329      1.303      0.770
   993       111   (pi0)              -83   971   988  1561  1562     0     0      0.301     -0.428     -0.443      0.699      0.135
   994       111   (pi0)              -83   971   988  1563  1564     0     0      0.096     -0.709      0.118      0.738      0.135
   995       111   (pi0)              -83   971   988  1565  1566     0     0      0.045      0.249      0.235      0.371      0.135
   996       313   (K*0)              -83   971   988  1371  1372     0     0     -0.553     -0.530     -0.605      1.321      0.890
   997      -321   K-                  83   971   988     0     0     0     0      0.001     -0.051     -1.165      1.266      0.494
   998       213   (rho+)             -83   971   988  1373  1374     0     0     -2.112     -0.455     -3.636      4.291      0.722
   999      1114   (Delta-)           -83   971   988  1375  1376     0     0     -5.760     -2.418    -10.976     12.679      1.128
  1000     -2114   (Deltabar0)        -84   971   988  1377  1378     0     0     -0.860     -0.537     -2.959      3.388      1.303
  1001      2114   (Delta0)           -84   971   988  1379  1380     0     0      0.059      0.462     -3.244      3.483      1.181
  1002       223   (omega)            -84   971   988  1567  1569     0     0     -0.394      1.729     -5.872      6.183      0.780
  1003     -1114   (Deltabar+)        -84   971   988  1381  1382     0     0      0.112      2.321     -6.547      7.042      1.150
  1004      -213   (rho-)             -84   971   988  1383  1384     0     0      0.005      1.020     -4.702      4.872      0.770
  1005       213   (rho+)             -84   971   988  1385  1386     0     0      0.401      1.306     -4.692      4.947      0.768
  1006      -211   pi-                 84   971   988     0     0     0     0      0.626      0.420    -13.239     13.261      0.140
  1007      2224   (Delta++)          -84   971   988  1387  1388     0     0      0.035      0.298    -18.987     19.042      1.415
  1008       223   (omega)            -84   971   988  1570  1571     0     0      1.361      0.561    -50.498     50.526      0.782
  1009     -2224   (Deltabar--)       -84   971   988  1389  1390     0     0     -1.338     -2.117   -180.300    180.322      1.341
  1010         2   (u)                -71   826   826  1039  1081   300     0      1.268      0.300     -5.556      5.717      0.330
  1011        21   (g)                -71   827   827  1039  1081   292   300     -0.020      0.247     -4.089      4.096      0.000
  1012        21   (g)                -71   908   908  1039  1081   316   292      1.334     -0.508     -1.952      2.459      0.446
  1013        21   (g)                -71   834   834  1039  1081   306   316      2.720     -1.237     -1.400      3.299      0.000
  1014        21   (g)                -71   801   801  1039  1081   287   306      0.260     -0.297      0.050      0.399      0.000
  1015        21   (g)                -71   905   905  1039  1081   318   287      1.507     -0.895     -1.095      2.098      0.366
  1016        21   (g)                -71   840   840  1039  1081   103   318      0.031     -0.634     -0.843      1.056      0.000
  1017        21   (g)                -71   814   814  1039  1081   310   103      0.019      0.187      0.226      0.294      0.000
  1018        21   (g)                -71   909   909  1039  1081   313   310     -5.333      1.143      9.944     11.352      0.494
  1019        21   (g)                -71   839   839  1039  1081   275   313     -2.659      0.400      6.266      6.818      0.000
  1020        21   (g)                -71   838   838  1039  1081   317   275     -0.336     -0.126      1.242      1.292      0.000
  1021        21   (g)                -71   837   837  1039  1081   286   317     -2.369     -3.467      5.612      7.009      0.000
  1022        21   (g)                -71   779   779  1039  1081   280   286     -0.311     -1.447      3.449      3.753      0.000
  1023        21   (g)                -71   819   819  1039  1081   312   280     -0.225     -2.884      2.786      4.017      0.000
  1024        21   (g)                -71   904   904  1039  1081   293   312      0.631     -3.614      4.758      6.017      0.314
  1025        21   (g)                -71   816   816  1039  1081   311   293     -0.131     -1.120      1.088      1.567      0.000
  1026        21   (g)                -71   907   907  1039  1081   274   311     -0.013      0.203      0.634      0.785      0.415
  1027        21   (g)                -71   797   797  1039  1081   288   274     -6.731     -2.317     10.189     12.429      0.000
  1028        21   (g)                -71   789   789  1039  1081   302   288     -8.390     -3.486     14.455     17.074      0.000
  1029        21   (g)                -71   903   903  1039  1081   281   302     -5.313     -1.296      7.771      9.507      0.299
  1030        21   (g)                -71   902   902  1039  1081   319   281    -14.587     -3.081     22.489     26.982      0.140
  1031        21   (g)                -71   843   843  1039  1081   296   319     -7.686     -1.247     12.620     14.829      0.000
  1032        21   (g)                -71   771   771  1039  1081   284   296     -0.040     -0.209      0.623      0.658      0.000
  1033        21   (g)                -71   906   906  1039  1081   305   284     -6.508     -0.422      6.459      9.187      0.386
  1034        21   (g)                -71   831   831  1039  1081   315   305     -1.024     -0.335      1.067      1.516      0.000
  1035        21   (g)                -71   832   832  1039  1081   104   315      0.107      0.176     -0.186      0.277      0.000
  1036        21   (g)                -71   833   833  1039  1081   283   104     -5.220      7.319     -2.932      9.456      0.000
  1037        21   (g)                -71   766   766  1039  1081   294   283     -0.187      0.388     -0.365      0.564      0.000
  1038        -3   (sbar)             -71   765   765  1039  1081     0   294    -17.845     26.959    -14.568     35.465      0.500
  1039       113   (rho0)             -83  1010  1038  1391  1392     0     0      0.470      0.222     -3.085      3.215      0.742
  1040       211   pi+                 83  1010  1038     0     0     0     0      0.172     -0.079     -1.316      1.337      0.140
  1041      -213   (rho-)             -83  1010  1038  1393  1394     0     0      1.879      0.083     -4.395      4.840      0.762
  1042       321   K+                  83  1010  1038     0     0     0     0      0.016     -0.735     -1.306      1.578      0.494
  1043       333   (phi)              -83  1010  1038  1572  1573     0     0      0.688     -0.155     -1.335      1.820      1.017
  1044      -311   (Kbar0)            -83  1010  1038  1395  1395     0     0      1.075      0.081     -0.735      1.397      0.498
  1045      -213   (rho-)             -83  1010  1038  1396  1397     0     0      1.800     -1.642     -1.873      3.146      0.671
  1046       111   (pi0)              -83  1010  1038  1574  1575     0     0      1.203     -0.294     -0.043      1.246      0.135
  1047       213   (rho+)             -83  1010  1038  1398  1399     0     0     -0.940      0.113      0.239      1.266      0.806
  1048       223   (omega)            -83  1010  1038  1576  1578     0     0      0.080     -0.443      1.902      2.103      0.776
  1049       111   (pi0)              -83  1010  1038  1579  1580     0     0     -2.410      0.360      2.978      3.850      0.135
  1050      -213   (rho-)             -83  1010  1038  1400  1401     0     0     -2.299      0.728      6.135      6.649      0.867
  1051       221   (eta)              -83  1010  1038  1581  1583     0     0     -1.618     -0.081      2.073      2.687      0.548
  1052       113   (rho0)             -83  1010  1038  1402  1403     0     0     -0.480     -0.248      1.636      1.934      0.878
  1053       113   (rho0)             -83  1010  1038  1404  1405     0     0     -1.330     -0.753      3.021      3.469      0.757
  1054       111   (pi0)              -83  1010  1038  1584  1585     0     0     -0.043     -0.019      0.969      0.979      0.135
  1055       211   pi+                 83  1010  1038     0     0     0     0     -0.918     -1.997      3.534      4.164      0.140
  1056       111   (pi0)              -83  1010  1038  1586  1587     0     0     -0.717     -0.446      0.696      1.103      0.135
  1057       111   (pi0)              -83  1010  1038  1588  1589     0     0     -0.456     -2.566      4.237      4.976      0.135
  1058       311   (K0)               -83  1010  1038  1406  1406     0     0      0.049     -1.777      2.242      2.904      0.498
  1059      3214   (Sigma*0)          -83  1010  1038  1407  1408     0     0      0.281     -3.867      5.126      6.570      1.365
  1060     -2114   (Deltabar0)        -83  1010  1038  1409  1410     0     0     -3.790     -1.083      5.565      6.930      1.233
  1061       223   (omega)            -84  1010  1038  1590  1592     0     0     -1.289     -0.841      2.787      3.278      0.782
  1062      2112   n0                  84  1010  1038     0     0     0     0     -4.859     -1.619      7.203      8.889      0.940
  1063     -2212   pbar-               84  1010  1038     0     0     0     0     -4.625     -1.070      7.481      8.909      0.938
  1064       323   (K*+)              -84  1010  1038  1411  1412     0     0    -11.041     -3.602     18.563     21.915      0.882
  1065      -311   (Kbar0)            -84  1010  1038  1413  1413     0     0     -4.892     -0.956      6.863      8.497      0.498
  1066      -211   pi-                 84  1010  1038     0     0     0     0     -1.003     -0.143      1.901      2.158      0.140
  1067       213   (rho+)             -84  1010  1038  1414  1415     0     0     -5.560     -1.499      8.393     10.203      0.710
  1068      -213   (rho-)             -84  1010  1038  1416  1417     0     0     -5.194     -0.751      7.461      9.154      0.771
  1069       111   (pi0)              -84  1010  1038  1593  1594     0     0     -2.195     -0.081      3.187      3.873      0.135
  1070       111   (pi0)              -84  1010  1038  1595  1596     0     0     -0.457     -0.139      0.816      0.955      0.135
  1071       213   (rho+)             -84  1010  1038  1418  1419     0     0     -3.347     -0.747      3.401      4.892      0.779
  1072      -211   pi-                 84  1010  1038     0     0     0     0     -0.020     -0.118      0.366      0.409      0.140
  1073       211   pi+                 84  1010  1038     0     0     0     0     -0.203      0.490      0.300      0.625      0.140
  1074      -213   (rho-)             -84  1010  1038  1420  1421     0     0     -1.258      0.037      0.683      1.634      0.786
  1075       113   (rho0)             -84  1010  1038  1422  1423     0     0     -1.145      0.860     -0.204      1.714      0.920
  1076       211   pi+                 84  1010  1038     0     0     0     0     -0.288      0.997      0.294      1.087      0.140
  1077      -213   (rho-)             -84  1010  1038  1424  1425     0     0     -1.884      1.445     -0.738      2.757      1.192
  1078       223   (omega)            -84  1010  1038  1597  1599     0     0     -1.424      3.043     -1.441      3.738      0.780
  1079       211   pi+                 84  1010  1038     0     0     0     0     -0.361      0.694     -0.146      0.808      0.140
  1080       313   (K*0)              -84  1010  1038  1426  1427     0     0     -3.115      4.007     -2.092      5.561      0.890
  1081       333   (phi)              -84  1010  1038  1600  1601     0     0    -15.602     23.292    -12.597     30.751      1.021
  1082         2   (u)                -71   697   697  1084  1095   154     0     -0.680      0.447   1214.323   1214.324      0.330
  1083        -2   (ubar)             -71   690   690  1084  1095     0   154      0.317      1.929     -6.362      6.664      0.330
  1084       323   (K*+)              -83  1082  1083  1428  1429     0     0     -0.614      0.215    843.026    843.027      0.932
  1085      -321   K-                  83  1082  1083     0     0     0     0     -0.147      0.392    168.658    168.659      0.494
  1086       211   pi+                 83  1082  1083     0     0     0     0      0.038      0.049    142.633    142.633      0.140
  1087      -211   pi-                 83  1082  1083     0     0     0     0      0.020     -0.058      4.402      4.404      0.140
  1088       211   pi+                 83  1082  1083     0     0     0     0     -0.321     -0.376     38.182     38.186      0.140
  1089      -211   pi-                 84  1082  1083     0     0     0     0      0.472      0.452      4.091      4.145      0.140
  1090       111   (pi0)              -84  1082  1083  1602  1603     0     0      0.182     -0.267      1.337      1.382      0.135
  1091       223   (omega)            -84  1082  1083  1604  1606     0     0     -0.458      0.070     10.913     10.951      0.789
  1092       211   pi+                 84  1082  1083     0     0     0     0      0.368     -0.071      0.421      0.580      0.140
  1093      2212   p+                  84  1082  1083     0     0     0     0     -0.327      0.493     -0.480      1.209      0.938
  1094       223   (omega)            -84  1082  1083  1607  1609     0     0      0.267      0.167     -1.308      1.508      0.681
  1095     -2224   (Deltabar--)       -84  1082  1083  1430  1431     0     0      0.157      1.309     -3.911      4.305      1.223
  1096         1   (d)                -71   538   538  1110  1146   124     0     -1.240     -1.054    252.439    252.444      0.330
  1097        21   (g)                -71   557   557  1110  1146   266   124      0.030     -0.015     -0.000      0.034      0.000
  1098        21   (g)                -71   532   532  1110  1146   196   266      0.369     -0.542    -10.266     10.287      0.000
  1099        21   (g)                -71   847   847  1110  1146   214   196     -0.513     -1.006     -0.521      1.285      0.324
  1100        21   (g)                -71   554   554  1110  1146   242   214      0.266     -0.280     -0.595      0.710      0.000
  1101        21   (g)                -71   547   547  1110  1146   101   242     -0.522      0.035     -0.365      0.638      0.000
  1102        21   (g)                -71   542   542  1110  1146   192   101     -1.157      2.022     -1.192      2.617      0.000
  1103        21   (g)                -71   531   531  1110  1146   126   192      0.280      1.215     -0.860      1.514      0.000
  1104        21   (g)                -71   540   540  1110  1146   177   126     -0.752      0.916      0.011      1.185      0.000
  1105        21   (g)                -71   846   846  1110  1146   218   177     -4.066      3.639      4.199      6.891      0.284
  1106        21   (g)                -71   556   556  1110  1146   262   218     -0.399      0.749      1.338      1.585      0.000
  1107        21   (g)                -71   548   548  1110  1146   238   262      0.064     -0.066     -0.062      0.111      0.000
  1108        21   (g)                -71   848   848  1110  1146   105   238     -0.920     -0.420      2.017      2.294      0.416
  1109        -1   (dbar)             -71   539   539  1110  1146     0   105     -0.462     -0.040    336.984    336.985      0.330
  1110      -211   pi-                 83  1096  1109     0     0     0     0     -0.824      0.353     62.393     62.400      0.140
  1111       211   pi+                 83  1096  1109     0     0     0     0     -0.296     -1.449    144.431    144.439      0.140
  1112       221   (eta)              -83  1096  1109  1610  1611     0     0     -0.261     -0.015     34.107     34.113      0.548
  1113      -211   pi-                 83  1096  1109     0     0     0     0      0.350     -0.057      1.033      1.101      0.140
  1114       223   (omega)            -83  1096  1109  1612  1614     0     0      0.445      0.299      5.868      5.944      0.784
  1115      3122   (Lambda0)          -83  1096  1109  1615  1616     0     0     -0.714     -0.344      2.865      3.175      1.116
  1116       313   (K*0)              -83  1096  1109  1432  1433     0     0      0.134     -0.021      0.195      0.840      0.805
  1117     -3112   (Sigmabar+)        -83  1096  1109  1617  1618     0     0     -0.351     -0.015     -0.578      1.375      1.197
  1118      -321   K-                  83  1096  1109     0     0     0     0      0.388     -0.038      0.074      0.633      0.494
  1119       223   (omega)            -83  1096  1109  1619  1621     0     0      0.227      0.084     -0.786      1.129      0.773
  1120       211   pi+                 83  1096  1109     0     0     0     0     -0.045     -0.139     -1.856      1.867      0.140
  1121      -211   pi-                 83  1096  1109     0     0     0     0     -0.303     -0.109     -0.211      0.410      0.140
  1122       223   (omega)            -83  1096  1109  1622  1623     0     0      0.326     -0.641     -5.094      5.203      0.781
  1123       211   pi+                 83  1096  1109     0     0     0     0     -0.091      0.056      0.023      0.178      0.140
  1124      -211   pi-                 83  1096  1109     0     0     0     0     -0.158     -0.544     -0.554      0.804      0.140
  1125       211   pi+                 83  1096  1109     0     0     0     0     -0.229      0.629     -0.685      0.968      0.140
  1126       113   (rho0)             -83  1096  1109  1434  1435     0     0     -0.465     -0.477     -1.043      1.460      0.776
  1127      -211   pi-                 84  1096  1109     0     0     0     0     -0.377      1.016     -0.753      1.327      0.140
  1128       211   pi+                 84  1096  1109     0     0     0     0     -1.030      2.213     -0.000      2.445      0.140
  1129       111   (pi0)              -84  1096  1109  1624  1625     0     0     -0.211     -0.316      0.096      0.414      0.135
  1130      -213   (rho-)             -84  1096  1109  1436  1437     0     0     -0.980      1.418      0.767      1.998      0.657
  1131       111   (pi0)              -84  1096  1109  1626  1627     0     0     -0.084      0.068      0.193      0.259      0.135
  1132       211   pi+                 84  1096  1109     0     0     0     0     -0.306      0.421      0.146      0.558      0.140
  1133      -211   pi-                 84  1096  1109     0     0     0     0     -0.297      0.487      1.036      1.191      0.140
  1134       113   (rho0)             -84  1096  1109  1438  1439     0     0     -1.250      1.189      0.692      2.310      1.372
  1135       211   pi+                 84  1096  1109     0     0     0     0     -0.146      0.451      1.001      1.116      0.140
  1136       111   (pi0)              -84  1096  1109  1628  1629     0     0     -0.982      0.371      0.889      1.382      0.135
  1137       111   (pi0)              -84  1096  1109  1630  1631     0     0      0.001     -0.060      0.084      0.170      0.135
  1138      -213   (rho-)             -84  1096  1109  1440  1441     0     0     -0.590      0.388      1.909      2.184      0.790
  1139       111   (pi0)              -84  1096  1109  1632  1633     0     0      0.122      0.174      0.267      0.367      0.135
  1140      2212   p+                  84  1096  1109     0     0     0     0     -0.069      0.098      3.855      3.969      0.938
  1141     -2112   nbar0               84  1096  1109     0     0     0     0      0.353     -0.333     10.765     10.817      0.940
  1142      -211   pi-                 84  1096  1109     0     0     0     0     -0.837     -0.022     47.970     47.977      0.140
  1143       221   (eta)              -84  1096  1109  1634  1635     0     0      0.177      0.488     26.207     26.218      0.548
  1144       323   (K*+)              -84  1096  1109  1442  1443     0     0     -0.002     -0.312     30.308     30.322      0.867
  1145      -313   (K*bar0)           -84  1096  1109  1444  1445     0     0     -0.310     -0.132    123.425    123.429      0.892
  1146       111   (pi0)              -84  1096  1109  1636  1637     0     0     -0.334     -0.030     94.087     94.087      0.135
  1147         2   (u)                -71   884   884  1152  1167   144     0     -1.260     -0.101    -73.514     73.528      0.659
  1148        21   (g)                -71   665   665  1152  1167   231   144     -1.577      1.066   -295.089    295.095      0.000
  1149        21   (g)                -71   883   883  1152  1167   155   231     -0.672     -0.111   -377.705    377.706      0.373
  1150        21   (g)                -71   885   885  1152  1167   159   155      0.334      1.163   -259.062    259.065      0.586
  1151        -2   (ubar)             -71   694   694  1152  1167     0   159     -0.526      0.982     12.303     12.358      0.330
  1152       211   pi+                 83  1147  1151     0     0     0     0     -0.002      0.529    -59.495     59.498      0.140
  1153       111   (pi0)              -83  1147  1151  1638  1639     0     0     -1.479      0.465   -178.845    178.852      0.135
  1154       223   (omega)            -83  1147  1151  1640  1642     0     0     -0.155     -0.856   -129.754    129.759      0.781
  1155       311   (K0)               -83  1147  1151  1446  1446     0     0     -1.215      1.017   -297.394    297.399      0.498
  1156      -323   (K*-)              -83  1147  1151  1447  1448     0     0      0.074      0.398    -51.818     51.826      0.810
  1157       221   (eta)              -83  1147  1151  1643  1645     0     0     -0.467      0.526   -180.303    180.305      0.548
  1158       111   (pi0)              -83  1147  1151  1646  1647     0     0     -0.381     -0.438    -58.059     58.062      0.135
  1159       213   (rho+)             -83  1147  1151  1449  1450     0     0      0.402      0.284    -17.239     17.271      0.927
  1160      2112   n0                  83  1147  1151     0     0     0     0      0.077      0.030    -18.758     18.782      0.940
  1161     -2112   nbar0               84  1147  1151     0     0     0     0     -0.040      0.493     -9.598      9.656      0.940
  1162       113   (rho0)             -84  1147  1151  1451  1452     0     0      0.026     -0.154     -2.061      2.223      0.817
  1163       223   (omega)            -84  1147  1151  1648  1649     0     0      0.148      0.009     -1.204      1.445      0.785
  1164       111   (pi0)              -84  1147  1151  1650  1651     0     0     -0.245     -0.595      0.581      0.877      0.135
  1165      -211   pi-                 84  1147  1151     0     0     0     0     -0.014      0.794     -0.070      0.810      0.140
  1166       211   pi+                 84  1147  1151     0     0     0     0     -0.377      0.378     10.198     10.213      0.140
  1167      -211   pi-                 84  1147  1151     0     0     0     0     -0.054      0.118      0.752      0.775      0.140
  1168         1   (d)                -71   650   650  1170  1183   138     0     -2.752      1.732   -566.583    566.593      0.330
  1169        -2   (ubar)             -71   655   655  1170  1183     0   138      2.171     -1.766     28.273     28.413      0.330
  1170      -211   pi-                 83  1168  1169     0     0     0     0     -0.065     -0.007     -4.589      4.591      0.140
  1171       223   (omega)            -83  1168  1169  1652  1654     0     0     -2.349      1.881   -497.011    497.020      0.776
  1172       211   pi+                 83  1168  1169     0     0     0     0     -0.392     -0.333    -19.273     19.280      0.140
  1173      -211   pi-                 83  1168  1169     0     0     0     0      0.320      0.089     -7.395      7.404      0.140
  1174       211   pi+                 83  1168  1169     0     0     0     0     -0.231     -0.210    -15.562     15.565      0.140
  1175      -211   pi-                 83  1168  1169     0     0     0     0      0.160      0.475     -7.473      7.492      0.140
  1176       213   (rho+)             -83  1168  1169  1453  1454     0     0     -0.217     -0.090     -3.790      3.862      0.703
  1177      -213   (rho-)             -83  1168  1169  1455  1456     0     0      0.277     -0.349     -5.953      6.027      0.833
  1178       213   (rho+)             -84  1168  1169  1457  1458     0     0     -0.371     -0.024     -2.242      2.396      0.758
  1179       313   (K*0)              -84  1168  1169  1459  1460     0     0     -0.139      0.364     -2.036      2.300      0.998
  1180      -311   (Kbar0)            -84  1168  1169  1461  1461     0     0      0.145     -0.594      0.143      0.802      0.498
  1181       311   (K0)               -84  1168  1169  1462  1462     0     0     -0.198      0.823     -0.157      0.994      0.498
  1182      -311   (Kbar0)            -84  1168  1169  1463  1463     0     0      1.129     -0.820      7.582      7.725      0.498
  1183      -213   (rho-)             -84  1168  1169  1464  1465     0     0      1.351     -1.239     19.445     19.546      0.754
  1184         4   (c)                -71   560   560  1196  1217   108     0      4.883    -13.455     13.960     20.050      1.500
  1185        21   (g)                -71   580   580  1196  1217   258   108     -0.103      0.361     -1.118      1.180      0.000
  1186        21   (g)                -71   852   852  1196  1217   195   258      0.925      0.460     -2.691      2.936      0.560
  1187        21   (g)                -71   849   849  1196  1217   233   195     -0.216      0.369     -5.181      5.202      0.179
  1188        21   (g)                -71   561   561  1196  1217   148   233     -0.144      0.141     -0.213      0.293      0.000
  1189        21   (g)                -71   581   581  1196  1217   261   148      0.629      0.162     -4.877      4.920      0.000
  1190        21   (g)                -71   566   566  1196  1217   182   261     -0.235     -0.039     -3.449      3.457      0.000
  1191        21   (g)                -71   851   851  1196  1217   263   182     -0.692      0.667    -86.923     86.929      0.448
  1192        21   (g)                -71   582   582  1196  1217   107   263     -1.776      0.118   -141.570    141.581      0.000
  1193        21   (g)                -71   850   850  1196  1217   252   107     -0.691      0.814   -329.253    329.255      0.320
  1194        21   (g)                -71   579   579  1196  1217   125   252     -0.684      1.910   -376.536    376.542      0.000
  1195        -2   (ubar)             -71   570   570  1196  1217     0   125     -1.257      2.117   -178.548    178.565      0.330
  1196       423   (D*0)              -83  1184  1195  1655  1656     0     0      3.719    -10.218     10.819     15.470      2.007
  1197       111   (pi0)              -83  1184  1195  1657  1658     0     0      0.336     -0.540      0.222      0.687      0.135
  1198       323   (K*+)              -83  1184  1195  1466  1467     0     0      0.609     -1.672      1.853      2.733      0.931
  1199      -311   (Kbar0)            -83  1184  1195  1468  1468     0     0      0.019     -0.518      0.132      0.730      0.498
  1200      -213   (rho-)             -83  1184  1195  1469  1470     0     0      0.411      0.646     -1.221      1.558      0.591
  1201       213   (rho+)             -83  1184  1195  1471  1472     0     0     -0.109     -0.592     -1.751      2.293      1.354
  1202       223   (omega)            -83  1184  1195  1659  1661     0     0     -0.039     -0.137     -0.358      0.870      0.780
  1203      -211   pi-                 83  1184  1195     0     0     0     0      0.200      0.334     -0.212      0.465      0.140
  1204       211   pi+                 83  1184  1195     0     0     0     0      0.025      0.385     -2.347      2.382      0.140
  1205       111   (pi0)              -83  1184  1195  1662  1663     0     0      0.629     -0.023     -3.955      4.007      0.135
  1206       221   (eta)              -83  1184  1195  1664  1666     0     0     -0.174      0.228     -4.653      4.694      0.548
  1207       113   (rho0)             -83  1184  1195  1473  1474     0     0      0.191     -0.300    -10.631     10.659      0.687
  1208      -213   (rho-)             -83  1184  1195  1475  1476     0     0     -0.667      0.843    -89.808     89.817      0.608
  1209       221   (eta)              -83  1184  1195  1667  1669     0     0     -0.235      0.007    -12.827     12.841      0.548
  1210       111   (pi0)              -84  1184  1195  1670  1671     0     0     -0.686      0.478    -95.675     95.678      0.135
  1211       213   (rho+)             -84  1184  1195  1477  1478     0     0     -0.373      0.099    -47.899     47.907      0.789
  1212      -211   pi-                 84  1184  1195     0     0     0     0     -0.259      0.254   -172.250    172.250      0.140
  1213       223   (omega)            -84  1184  1195  1672  1673     0     0     -0.489      0.818   -117.754    117.760      0.786
  1214       111   (pi0)              -84  1184  1195  1674  1675     0     0     -0.650      0.507    -90.435     90.439      0.135
  1215       211   pi+                 84  1184  1195     0     0     0     0     -0.406      0.490   -217.484    217.485      0.140
  1216       113   (rho0)             -84  1184  1195  1479  1480     0     0     -0.849      1.606   -164.681    164.692      0.696
  1217      -211   pi-                 84  1184  1195     0     0     0     0     -0.563      0.931    -95.487     95.494      0.140
  1218         1   (d)                -71   701   701  1231  1258   111     0     -0.489     -0.643    -81.625     81.629      0.330
  1219        21   (g)                -71   573   573  1231  1258   198   111      2.878     -0.665   -723.877    723.883      0.000
  1220        21   (g)                -71   563   563  1231  1258   162   198      4.091     -1.037   -711.629    711.641      0.000
  1221        21   (g)                -71   577   577  1231  1258   247   162      0.219     -0.271    -34.119     34.121      0.000
  1222        21   (g)                -71   568   568  1231  1258   106   247      0.107      0.822   -178.213    178.215      0.000
  1223        21   (g)                -71   533   533  1231  1258   205   106      0.267      1.704     25.987     26.045      0.000
  1224        21   (g)                -71   544   544  1231  1258   165   205      0.875      0.473     18.543     18.570      0.000
  1225        21   (g)                -71   537   537  1231  1258   110   165     -0.141      0.032     10.452     10.453      0.000
  1226        21   (g)                -71   541   541  1231  1258   246   110      0.326      0.551      2.582      2.660      0.000
  1227        21   (g)                -71   896   896  1231  1258   151   246      2.110      0.664     15.372     15.535      0.421
  1228        21   (g)                -71   897   897  1231  1258   234   151     -0.019      0.082      1.340      1.444      0.530
  1229        21   (g)                -71   552   552  1231  1258   209   234      1.026     -0.020      5.796      5.886      0.000
  1230        -1   (dbar)             -71   895   895  1231  1258     0   209      3.983     -0.351      9.503     10.317      0.374
  1231       111   (pi0)              -83  1218  1230  1676  1677     0     0      0.497      0.133    -79.472     79.473      0.135
  1232      -213   (rho-)             -83  1218  1230  1481  1482     0     0      0.142     -0.928   -272.395    272.398      0.779
  1233       223   (omega)            -83  1218  1230  1678  1680     0     0      1.561     -0.473   -318.786    318.791      0.770
  1234       211   pi+                 83  1218  1230     0     0     0     0     -0.034     -0.106    -22.295     22.296      0.140
  1235       111   (pi0)              -83  1218  1230  1681  1682     0     0      0.746     -0.243   -105.023    105.026      0.135
  1236       111   (pi0)              -83  1218  1230  1683  1684     0     0      0.464     -0.326    -72.981     72.984      0.135
  1237      -211   pi-                 83  1218  1230     0     0     0     0      1.280      0.245   -308.034    308.037      0.140
  1238       211   pi+                 83  1218  1230     0     0     0     0      0.293     -0.070    -37.191     37.192      0.140
  1239       311   (K0)               -83  1218  1230  1483  1483     0     0      0.974      0.041   -313.043    313.045      0.498
  1240      -321   K-                  83  1218  1230     0     0     0     0      0.046      0.100    -19.956     19.962      0.494
  1241       211   pi+                 83  1218  1230     0     0     0     0      0.917     -0.324    -80.150     80.156      0.140
  1242       311   (K0)               -83  1218  1230  1484  1484     0     0      0.067     -0.578    -26.464     26.475      0.498
  1243      -311   (Kbar0)            -83  1218  1230  1485  1485     0     0     -0.443      0.873    -17.933     17.967      0.498
  1244      -211   pi-                 83  1218  1230     0     0     0     0     -0.004     -0.186    -20.245     20.246      0.140
  1245       213   (rho+)             -83  1218  1230  1486  1487     0     0      0.672     -0.038    -20.626     20.667      1.108
  1246      -213   (rho-)             -83  1218  1230  1488  1489     0     0     -0.197      0.078    -13.236     13.267      0.887
  1247       113   (rho0)             -83  1218  1230  1490  1491     0     0     -0.441     -0.068     -0.845      1.165      0.666
  1248       211   pi+                 84  1218  1230     0     0     0     0      0.065     -0.246      0.708      0.765      0.140
  1249       111   (pi0)              -84  1218  1230  1685  1686     0     0      0.704      0.470     -0.139      0.868      0.135
  1250       111   (pi0)              -84  1218  1230  1687  1688     0     0     -0.701      0.403      7.965      8.007      0.135
  1251       311   (K0)               -84  1218  1230  1492  1492     0     0      0.625      0.524     18.856     18.881      0.498
  1252      -311   (Kbar0)            -84  1218  1230  1493  1493     0     0      0.710      0.265      5.430      5.505      0.498
  1253      -211   pi-                 84  1218  1230     0     0     0     0     -0.086      1.033     10.776     10.826      0.140
  1254       223   (omega)            -84  1218  1230  1689  1691     0     0      0.766      0.320     17.145     17.183      0.782
  1255       213   (rho+)             -84  1218  1230  1494  1495     0     0      0.648      0.553      5.623      5.749      0.845
  1256       221   (eta)              -84  1218  1230  1692  1693     0     0      1.303      0.082      9.256      9.364      0.548
  1257       113   (rho0)             -84  1218  1230  1496  1497     0     0      1.077      0.387      3.779      4.023      0.769
  1258       221   (eta)              -84  1218  1230  1694  1696     0     0      3.580     -0.579      9.390     10.081      0.548
  1259         2   (u)                -71   862   862  1284  1326   119     0     -1.622     -0.826    -52.894     52.933      0.898
  1260        21   (g)                -71   600   600  1284  1326   113   119      2.335     -3.393    -94.787     94.877      0.000
  1261        21   (g)                -71   856   856  1284  1326   223   113      0.526     -0.205     -3.284      3.335      0.133
  1262        21   (g)                -71   601   601  1284  1326   180   223      0.104      0.339     -0.033      0.356      0.000
  1263        21   (g)                -71   863   863  1284  1326   249   180      0.265     -1.893     -1.831      2.670      0.355
  1264        21   (g)                -71   619   619  1284  1326   156   249      0.263      0.143     -0.662      0.726      0.000
  1265        21   (g)                -71   588   588  1284  1326   116   156      1.215      0.975     -0.816      1.759      0.000
  1266        21   (g)                -71   599   599  1284  1326   163   116     -0.100      0.104     -0.172      0.224      0.000
  1267        21   (g)                -71   858   858  1284  1326   243   163      0.824      0.451      0.842      1.283      0.236
  1268        21   (g)                -71   859   859  1284  1326   253   243      1.565     -0.412      3.396      3.770      0.252
  1269        21   (g)                -71   857   857  1284  1326   199   253      1.954      0.322      6.325      6.630      0.190
  1270        21   (g)                -71   865   865  1284  1326   141   199      2.359     -0.309     15.309     15.497      0.398
  1271        21   (g)                -71   864   864  1284  1326   213   141      0.054     -1.124      5.883      6.002      0.393
  1272        21   (g)                -71   674   674  1284  1326   161   213     -1.683     -1.382      5.138      5.580      0.000
  1273        21   (g)                -71   680   680  1284  1326   248   161     -0.630     -0.164      0.720      0.970      0.000
  1274        21   (g)                -71   860   860  1284  1326   167   248     -1.387      0.439     12.421     12.509      0.279
  1275        21   (g)                -71   632   632  1284  1326   145   167     -0.652     -0.194      2.943      3.021      0.000
  1276        21   (g)                -71   866   866  1284  1326   227   145      0.265     -1.682     66.321     66.345      0.493
  1277        21   (g)                -71   661   661  1284  1326   240   227      0.638      0.020     16.143     16.156      0.000
  1278        21   (g)                -71   611   611  1284  1326   219   240      0.945     -0.022     63.359     63.366      0.000
  1279        21   (g)                -71   608   608  1284  1326   215   219      0.764      0.608     79.085     79.091      0.000
  1280        21   (g)                -71   603   603  1284  1326   191   215      0.096      0.377     68.214     68.215      0.000
  1281        21   (g)                -71   589   589  1284  1326   117   191      4.205      3.359    796.399    796.417      0.000
  1282        21   (g)                -71   634   634  1284  1326   142   117      0.948      0.196    143.297    143.301      0.000
  1283      2101   (ud_0)             -71   696   696  1284  1326     0   142      0.096      0.454   1440.814   1440.814      0.579
  1284       321   K+                  83  1259  1283     0     0     0     0     -0.200     -0.390     -9.978      9.999      0.494
  1285      -311   (Kbar0)            -83  1259  1283  1498  1498     0     0     -1.153     -0.499    -37.093     37.117      0.498
  1286       221   (eta)              -83  1259  1283  1697  1698     0     0      1.139     -1.832    -54.574     54.619      0.548
  1287      -211   pi-                 83  1259  1283     0     0     0     0      0.098      0.154     -4.040      4.046      0.140
  1288       213   (rho+)             -83  1259  1283  1499  1500     0     0      1.061     -0.781    -29.397     29.446      1.061
  1289       311   (K0)               -83  1259  1283  1501  1501     0     0     -0.145     -0.521    -14.381     14.400      0.498
  1290      -313   (K*bar0)           -83  1259  1283  1502  1503     0     0      0.377     -1.153     -2.412      2.890      1.030
  1291      -211   pi-                 83  1259  1283     0     0     0     0     -0.100      0.154      0.029      0.232      0.140
  1292       321   K+                  83  1259  1283     0     0     0     0      0.638     -0.291     -0.691      1.101      0.494
  1293      -311   (Kbar0)            -83  1259  1283  1504  1504     0     0      0.324     -0.151     -0.385      0.724      0.498
  1294       113   (rho0)             -83  1259  1283  1505  1506     0     0      0.615      0.055     -0.638      1.162      0.749
  1295      -213   (rho-)             -83  1259  1283  1507  1508     0     0      0.145      0.131      0.014      0.776      0.751
  1296       211   pi+                 83  1259  1283     0     0     0     0      0.202      0.327     -0.244      0.476      0.140
  1297       223   (omega)            -83  1259  1283  1699  1701     0     0      1.218      0.076      1.561      2.131      0.785
  1298       221   (eta)              -83  1259  1283  1702  1703     0     0      0.512      0.159      0.481      0.905      0.548
  1299      -211   pi-                 83  1259  1283     0     0     0     0     -0.132      0.093      1.440      1.456      0.140
  1300       211   pi+                 83  1259  1283     0     0     0     0      1.210     -0.361      2.507      2.811      0.140
  1301      -213   (rho-)             -83  1259  1283  1509  1510     0     0      0.667      0.567      6.037      6.136      0.665
  1302       211   pi+                 83  1259  1283     0     0     0     0      0.734     -0.356      2.379      2.519      0.140
  1303       313   (K*0)              -83  1259  1283  1511  1512     0     0      0.504     -0.946      4.564      4.777      0.920
  1304      -313   (K*bar0)           -83  1259  1283  1513  1514     0     0      1.740      0.022     10.517     10.723      1.168
  1305       111   (pi0)              -83  1259  1283  1704  1705     0     0     -0.191     -0.779      1.343      1.570      0.135
  1306      3112   (Sigma-)           -83  1259  1283  1706  1707     0     0     -1.179     -0.095      6.623      6.834      1.197
  1307       113   (rho0)             -83  1259  1283  1515  1516     0     0     -1.537     -0.741      8.195      8.438      1.065
  1308     -3114   (Sigma*bar+)       -83  1259  1283  1517  1518     0     0     -0.002     -0.810     13.929     14.022      1.400
  1309      -213   (rho-)             -83  1259  1283  1519  1520     0     0     -0.589      0.759     11.514     11.608      1.112
  1310       223   (omega)            -84  1259  1283  1708  1710     0     0     -0.325     -0.754     16.514     16.553      0.788
  1311       211   pi+                 84  1259  1283     0     0     0     0     -0.032     -0.156      2.719      2.727      0.140
  1312      -211   pi-                 84  1259  1283     0     0     0     0      0.382     -0.352     24.395     24.400      0.140
  1313       211   pi+                 84  1259  1283     0     0     0     0      0.631      0.258     38.498     38.504      0.140
  1314      -211   pi-                 84  1259  1283     0     0     0     0      0.114     -0.187     19.875     19.877      0.140
  1315       221   (eta)              -84  1259  1283  1711  1713     0     0      0.123      0.139     68.767     68.769      0.548
  1316       111   (pi0)              -84  1259  1283  1714  1715     0     0      0.170      0.454     42.867     42.870      0.135
  1317      2212   p+                  84  1259  1283     0     0     0     0      0.946      0.371    151.125    151.132      0.938
  1318       111   (pi0)              -84  1259  1283  1716  1717     0     0      0.546     -0.031     51.944     51.947      0.135
  1319     -2212   pbar-               84  1259  1283     0     0     0     0      1.640      1.239    267.848    267.857      0.938
  1320       213   (rho+)             -84  1259  1283  1521  1522     0     0      1.532      0.738    258.903    258.910      0.709
  1321       111   (pi0)              -84  1259  1283  1718  1719     0     0      0.181     -0.075     38.679     38.679      0.135
  1322       221   (eta)              -84  1259  1283  1720  1722     0     0      0.114      0.658    173.469    173.471      0.548
  1323      -213   (rho-)             -84  1259  1283  1523  1524     0     0      0.573      0.343    185.822    185.825      0.768
  1324       211   pi+                 84  1259  1283     0     0     0     0      0.242      0.213     59.965     59.966      0.140
  1325      -211   pi-                 84  1259  1283     0     0     0     0      0.575      0.142    423.985    423.985      0.140
  1326      2212   p+                  84  1259  1283     0     0     0     0     -0.023      0.389    829.454    829.455      0.938
  1327         2   (u)                -71   630   630  1329  1346   147     0     -1.548     -1.476   1688.804   1688.806      0.330
  1328        -2   (ubar)             -71   629   629  1329  1346     0   147     -2.851     -1.912   -273.985    274.006      0.330
  1329       211   pi+                 83  1327  1328     0     0     0     0     -0.284     -0.378    634.169    634.169      0.140
  1330      1114   (Delta-)           -83  1327  1328  1525  1526     0     0     -0.587     -1.029    562.070    562.073      1.310
  1331     -1114   (Deltabar+)        -83  1327  1328  1527  1528     0     0     -0.499      0.270    329.329    329.333      1.429
  1332      -211   pi-                 83  1327  1328     0     0     0     0     -0.234     -0.059     58.739     58.740      0.140
  1333      2212   p+                  83  1327  1328     0     0     0     0      0.067     -0.888     67.194     67.207      0.938
  1334      -211   pi-                 83  1327  1328     0     0     0     0     -0.140      0.535     16.297     16.307      0.140
  1335     -2114   (Deltabar0)        -83  1327  1328  1529  1530     0     0     -0.031     -0.150     10.555     10.637      1.312
  1336       111   (pi0)              -83  1327  1328  1723  1724     0     0      0.170     -0.008      0.906      0.931      0.135
  1337       223   (omega)            -83  1327  1328  1725  1727     0     0     -0.010      0.305      5.064      5.126      0.731
  1338       113   (rho0)             -83  1327  1328  1531  1532     0     0      0.034     -0.233      2.896      3.012      0.792
  1339       221   (eta)              -83  1327  1328  1728  1729     0     0      0.115      0.152      0.500      0.766      0.548
  1340       211   pi+                 84  1327  1328     0     0     0     0      0.029      0.267     -0.639      0.707      0.140
  1341       111   (pi0)              -84  1327  1328  1730  1731     0     0     -0.172     -0.254      0.204      0.393      0.135
  1342      -211   pi-                 84  1327  1328     0     0     0     0     -0.179     -0.344      0.276      0.496      0.140
  1343       221   (eta)              -84  1327  1328  1732  1733     0     0      0.475      0.803     -5.427      5.534      0.548
  1344       211   pi+                 84  1327  1328     0     0     0     0     -0.517     -0.549     -6.505      6.550      0.140
  1345       113   (rho0)             -84  1327  1328  1533  1534     0     0     -2.173     -1.919   -228.415    228.435      0.891
  1346      -211   pi-                 84  1327  1328     0     0     0     0     -0.461      0.088    -32.394     32.398      0.140
  1347       311   (K0)               -91   926     0  1535  1535     0     0      0.579      2.247      4.592      5.169      0.498
  1348       211   pi+                 91   926     0     0     0     0     0      0.036      0.347      1.322      1.374      0.140
  1349       130   K_L0                91   927   927     0     0     0     0     -0.419      0.380     -0.042      0.755      0.498
  1350       211   pi+                 91   937     0     0     0     0     0      0.241      0.052   -113.349    113.350      0.140
  1351      -211   pi-                 91   937     0     0     0     0     0     -0.196      0.081    -20.833     20.834      0.140
  1352       321   K+                  91   946     0     0     0     0     0     -0.436      0.273     53.267     53.272      0.494
  1353      -211   pi-                 91   946     0     0     0     0     0      0.111      0.102     58.564     58.564      0.140
  1354       130   K_L0                91   947   947     0     0     0     0     -0.355      0.349     19.287     19.300      0.498
  1355       311   (K0)               -91   948     0  1536  1536     0     0      0.036     -0.149      3.391      3.431      0.498
  1356       111   (pi0)              -91   948     0  1734  1735     0     0      0.157      0.321      1.875      1.913      0.135
  1357       211   pi+                 91   951     0     0     0     0     0      0.221      0.012      0.606      0.660      0.140
  1358       111   (pi0)              -91   951     0  1736  1737     0     0      0.821      1.306      6.816      6.990      0.135
  1359      -321   K-                  91   959     0     0     0     0     0      6.557     -1.683     -6.613      9.476      0.494
  1360       211   pi+                 91   959     0     0     0     0     0      5.791     -1.159     -5.317      7.948      0.140
  1361      -211   pi-                 91   960     0     0     0     0     0      3.597     -1.363     -3.753      5.376      0.140
  1362       111   (pi0)              -91   960     0  1738  1739     0     0     17.006     -5.264    -16.614     24.351      0.135
  1363      -211   pi-                 91   964     0     0     0     0     0      3.425     -0.058     -2.930      4.510      0.140
  1364       111   (pi0)              -91   964     0  1740  1741     0     0      2.396     -0.625     -1.700      3.007      0.135
  1365      -311   (Kbar0)            -91   989     0  1537  1537     0     0      0.331     -0.293     -0.113      0.675      0.498
  1366       111   (pi0)              -91   989     0  1742  1743     0     0      1.026     -0.829     -0.180      1.338      0.135
  1367      -211   pi-                 91   990     0     0     0     0     0      1.159     -2.271      0.352      2.577      0.140
  1368       111   (pi0)              -91   990     0  1744  1745     0     0      0.220      0.003     -0.088      0.272      0.135
  1369       211   pi+                 91   991     0     0     0     0     0      0.256      0.044     -0.071      0.303      0.140
  1370       111   (pi0)              -91   991     0  1746  1747     0     0      0.189     -0.900     -0.192      0.949      0.135
  1371       321   K+                  91   996     0     0     0     0     0     -0.163     -0.099     -0.100      0.538      0.494
  1372      -211   pi-                 91   996     0     0     0     0     0     -0.390     -0.431     -0.505      0.783      0.140
  1373       211   pi+                 91   998     0     0     0     0     0     -0.347     -0.170     -0.319      0.520      0.140
  1374       111   (pi0)              -91   998     0  1748  1749     0     0     -1.765     -0.285     -3.317      3.771      0.135
  1375      2112   n0                  91   999     0     0     0     0     0     -4.893     -2.123     -9.555     10.983      0.940
  1376      -211   pi-                 91   999     0     0     0     0     0     -0.867     -0.294     -1.421      1.696      0.140
  1377     -2112   nbar0               91  1000     0     0     0     0     0     -0.971     -0.405     -2.349      2.740      0.940
  1378       111   (pi0)              -91  1000     0  1750  1751     0     0      0.111     -0.132     -0.609      0.648      0.135
  1379      2112   n0                  91  1001     0     0     0     0     0      0.042      0.432     -3.150      3.315      0.940
  1380       111   (pi0)              -91  1001     0  1752  1753     0     0      0.016      0.029     -0.094      0.168      0.135
  1381     -2112   nbar0               91  1003     0     0     0     0     0      0.063      1.841     -5.602      5.971      0.940
  1382       211   pi+                 91  1003     0     0     0     0     0      0.049      0.480     -0.945      1.070      0.140
  1383      -211   pi-                 91  1004     0     0     0     0     0     -0.155      1.016     -3.425      3.579      0.140
  1384       111   (pi0)              -91  1004     0  1754  1755     0     0      0.159      0.004     -1.277      1.294      0.135
  1385       211   pi+                 91  1005     0     0     0     0     0      0.459      1.128     -3.027      3.266      0.140
  1386       111   (pi0)              -91  1005     0  1756  1757     0     0     -0.058      0.178     -1.665      1.681      0.135
  1387      2212   p+                  91  1007     0     0     0     0     0      0.005      0.315     -9.054      9.108      0.938
  1388       211   pi+                 91  1007     0     0     0     0     0      0.030     -0.017     -9.933      9.934      0.140
  1389     -2212   pbar-               91  1009     0     0     0     0     0     -0.563     -1.178    -95.794     95.808      0.938
  1390      -211   pi-                 91  1009     0     0     0     0     0     -0.775     -0.938    -84.506     84.514      0.140
  1391       211   pi+                 91  1039     0     0     0     0     0     -0.103      0.212     -1.489      1.514      0.140
  1392      -211   pi-                 91  1039     0     0     0     0     0      0.572      0.011     -1.596      1.701      0.140
  1393      -211   pi-                 91  1041     0     0     0     0     0      0.999     -0.006     -1.476      1.788      0.140
  1394       111   (pi0)              -91  1041     0  1758  1759     0     0      0.879      0.089     -2.918      3.052      0.135
  1395       130   K_L0                91  1044  1044     0     0     0     0      1.075      0.081     -0.735      1.397      0.498
  1396      -211   pi-                 91  1045     0     0     0     0     0      0.441     -0.412     -0.176      0.644      0.140
  1397       111   (pi0)              -91  1045     0  1760  1761     0     0      1.359     -1.231     -1.697      2.502      0.135
  1398       211   pi+                 91  1047     0     0     0     0     0     -0.629      0.420      0.249      0.808      0.140
  1399       111   (pi0)              -91  1047     0  1762  1763     0     0     -0.311     -0.307     -0.010      0.458      0.135
  1400      -211   pi-                 91  1050     0     0     0     0     0     -1.148      0.582      4.134      4.332      0.140
  1401       111   (pi0)              -91  1050     0  1764  1765     0     0     -1.150      0.146      2.002      2.317      0.135
  1402       211   pi+                 91  1052     0     0     0     0     0     -0.024     -0.404      0.348      0.552      0.140
  1403      -211   pi-                 91  1052     0     0     0     0     0     -0.456      0.156      1.287      1.382      0.140
  1404       211   pi+                 91  1053     0     0     0     0     0     -0.964     -0.198      1.452      1.760      0.140
  1405      -211   pi-                 91  1053     0     0     0     0     0     -0.366     -0.554      1.568      1.709      0.140
  1406       130   K_L0                91  1058  1058     0     0     0     0      0.049     -1.777      2.242      2.904      0.498
  1407      3122   (Lambda0)          -91  1059     0  1766  1767     0     0      0.202     -2.635      3.582      4.589      1.116
  1408       111   (pi0)              -91  1059     0  1768  1769     0     0      0.078     -1.232      1.544      1.981      0.135
  1409     -2112   nbar0               91  1060     0     0     0     0     0     -3.105     -0.651      4.482      5.570      0.940
  1410       111   (pi0)              -91  1060     0  1770  1771     0     0     -0.685     -0.432      1.084      1.360      0.135
  1411       321   K+                  91  1064     0     0     0     0     0     -8.933     -2.807     14.530     17.292      0.494
  1412       111   (pi0)              -91  1064     0  1772  1773     0     0     -2.108     -0.795      4.034      4.622      0.135
  1413       130   K_L0                91  1065  1065     0     0     0     0     -4.892     -0.956      6.863      8.497      0.498
  1414       211   pi+                 91  1067     0     0     0     0     0     -2.730     -0.400      4.055      4.907      0.140
  1415       111   (pi0)              -91  1067     0  1774  1775     0     0     -2.830     -1.100      4.337      5.296      0.135
  1416      -211   pi-                 91  1068     0     0     0     0     0     -4.048     -0.372      5.374      6.740      0.140
  1417       111   (pi0)              -91  1068     0  1776  1777     0     0     -1.146     -0.379      2.087      2.414      0.135
  1418       211   pi+                 91  1071     0     0     0     0     0     -3.194     -0.783      3.066      4.498      0.140
  1419       111   (pi0)              -91  1071     0  1778  1779     0     0     -0.153      0.036      0.335      0.394      0.135
  1420      -211   pi-                 91  1074     0     0     0     0     0     -1.243      0.136      0.737      1.458      0.140
  1421       111   (pi0)              -91  1074     0  1780  1781     0     0     -0.015     -0.099     -0.053      0.176      0.135
  1422       211   pi+                 91  1075     0     0     0     0     0     -0.701      0.938      0.046      1.180      0.140
  1423      -211   pi-                 91  1075     0     0     0     0     0     -0.444     -0.078     -0.251      0.534      0.140
  1424      -211   pi-                 91  1077     0     0     0     0     0     -0.743      1.289     -0.351      1.535      0.140
  1425       111   (pi0)              -91  1077     0  1782  1783     0     0     -1.141      0.156     -0.387      1.222      0.135
  1426       321   K+                  91  1080     0     0     0     0     0     -1.449      1.627     -1.083      2.483      0.494
  1427      -211   pi-                 91  1080     0     0     0     0     0     -1.665      2.380     -1.009      3.078      0.140
  1428       311   (K0)               -91  1084     0  1538  1538     0     0     -0.549      0.318    449.764    449.765      0.498
  1429       211   pi+                 91  1084     0     0     0     0     0     -0.066     -0.103    393.262    393.262      0.140
  1430     -2212   pbar-               91  1095     0     0     0     0     0      0.342      1.018     -3.127      3.437      0.938
  1431      -211   pi-                 91  1095     0     0     0     0     0     -0.185      0.292     -0.784      0.868      0.140
  1432       321   K+                  91  1116     0     0     0     0     0      0.299      0.068      0.162      0.603      0.494
  1433      -211   pi-                 91  1116     0     0     0     0     0     -0.165     -0.089      0.033      0.236      0.140
  1434       211   pi+                 91  1126     0     0     0     0     0     -0.104     -0.321     -0.032      0.367      0.140
  1435      -211   pi-                 91  1126     0     0     0     0     0     -0.361     -0.155     -1.011      1.093      0.140
  1436      -211   pi-                 91  1130     0     0     0     0     0     -0.955      1.078      0.456      1.517      0.140
  1437       111   (pi0)              -91  1130     0  1784  1785     0     0     -0.025      0.341      0.311      0.481      0.135
  1438       211   pi+                 91  1134     0     0     0     0     0     -0.738      0.893      1.080      1.590      0.140
  1439      -211   pi-                 91  1134     0     0     0     0     0     -0.512      0.296     -0.388      0.721      0.140
  1440      -211   pi-                 91  1138     0     0     0     0     0     -0.394      0.280      1.847      1.915      0.140
  1441       111   (pi0)              -91  1138     0  1786  1787     0     0     -0.196      0.108      0.062      0.269      0.135
  1442       311   (K0)               -91  1144     0  1539  1539     0     0      0.000     -0.472     19.868     19.879      0.498
  1443       211   pi+                 91  1144     0     0     0     0     0     -0.002      0.160     10.440     10.442      0.140
  1444      -321   K-                  91  1145     0     0     0     0     0     -0.304      0.183     75.075     75.078      0.494
  1445       211   pi+                 91  1145     0     0     0     0     0     -0.006     -0.314     48.350     48.351      0.140
  1446       130   K_L0                91  1155  1155     0     0     0     0     -1.215      1.017   -297.394    297.399      0.498
  1447      -321   K-                  91  1156     0     0     0     0     0     -0.161      0.158    -32.066     32.070      0.494
  1448       111   (pi0)              -91  1156     0  1788  1789     0     0      0.234      0.241    -19.752     19.755      0.135
  1449       211   pi+                 91  1159     0     0     0     0     0     -0.090     -0.027    -11.433     11.434      0.140
  1450       111   (pi0)              -91  1159     0  1790  1791     0     0      0.493      0.310     -5.806      5.837      0.135
  1451       211   pi+                 91  1162     0     0     0     0     0     -0.088     -0.426     -1.557      1.622      0.140
  1452      -211   pi-                 91  1162     0     0     0     0     0      0.114      0.271     -0.504      0.600      0.140
  1453       211   pi+                 91  1176     0     0     0     0     0     -0.178     -0.367     -2.256      2.297      0.140
  1454       111   (pi0)              -91  1176     0  1792  1793     0     0     -0.039      0.277     -1.533      1.564      0.135
  1455      -211   pi-                 91  1177     0     0     0     0     0      0.214     -0.559     -5.092      5.129      0.140
  1456       111   (pi0)              -91  1177     0  1794  1795     0     0      0.062      0.210     -0.861      0.899      0.135
  1457       211   pi+                 91  1178     0     0     0     0     0     -0.477     -0.205     -1.069      1.196      0.140
  1458       111   (pi0)              -91  1178     0  1796  1797     0     0      0.105      0.181     -1.173      1.199      0.135
  1459       321   K+                  91  1179     0     0     0     0     0      0.084      0.165     -1.847      1.921      0.494
  1460      -211   pi-                 91  1179     0     0     0     0     0     -0.222      0.199     -0.189      0.380      0.140
  1461       130   K_L0                91  1180  1180     0     0     0     0      0.145     -0.594      0.143      0.802      0.498
  1462       130   K_L0                91  1181  1181     0     0     0     0     -0.198      0.823     -0.157      0.994      0.498
  1463       310   (K_S0)             -91  1182  1182  1798  1799     0     0      1.129     -0.820      7.582      7.725      0.498
  1464      -211   pi-                 91  1183     0     0     0     0     0      1.265     -1.292     17.905     17.997      0.140
  1465       111   (pi0)              -91  1183     0  1800  1801     0     0      0.085      0.053      1.540      1.549      0.135
  1466       311   (K0)               -91  1198     0  1540  1540     0     0      0.245     -0.452      0.810      1.081      0.498
  1467       211   pi+                 91  1198     0     0     0     0     0      0.364     -1.220      1.043      1.652      0.140
  1468       310   (K_S0)             -91  1199  1199  1802  1803     0     0      0.019     -0.518      0.132      0.730      0.498
  1469      -211   pi-                 91  1200     0     0     0     0     0      0.068      0.421     -0.943      1.045      0.140
  1470       111   (pi0)              -91  1200     0  1804  1805     0     0      0.343      0.225     -0.278      0.513      0.135
  1471       211   pi+                 91  1201     0     0     0     0     0     -0.231     -0.351     -1.904      1.955      0.140
  1472       111   (pi0)              -91  1201     0  1806  1807     0     0      0.122     -0.242      0.153      0.339      0.135
  1473       211   pi+                 91  1207     0     0     0     0     0     -0.190     -0.169     -2.477      2.494      0.140
  1474      -211   pi-                 91  1207     0     0     0     0     0      0.381     -0.131     -8.154      8.165      0.140
  1475      -211   pi-                 91  1208     0     0     0     0     0     -0.006      0.031    -19.960     19.961      0.140
  1476       111   (pi0)              -91  1208     0  1808  1809     0     0     -0.661      0.812    -69.848     69.856      0.135
  1477       211   pi+                 91  1211     0     0     0     0     0     -0.584     -0.001    -36.108     36.113      0.140
  1478       111   (pi0)              -91  1211     0  1810  1811     0     0      0.210      0.100    -11.790     11.793      0.135
  1479       211   pi+                 91  1216     0     0     0     0     0     -0.763      0.797   -101.661    101.667      0.140
  1480      -211   pi-                 91  1216     0     0     0     0     0     -0.086      0.809    -63.020     63.026      0.140
  1481      -211   pi-                 91  1232     0     0     0     0     0     -0.268     -0.170    -72.765     72.766      0.140
  1482       111   (pi0)              -91  1232     0  1812  1813     0     0      0.410     -0.758   -199.630    199.632      0.135
  1483       130   K_L0                91  1239  1239     0     0     0     0      0.974      0.041   -313.043    313.045      0.498
  1484       310   (K_S0)             -91  1242  1242  1814  1815     0     0      0.067     -0.578    -26.464     26.475      0.498
  1485       130   K_L0                91  1243  1243     0     0     0     0     -0.443      0.873    -17.933     17.967      0.498
  1486       211   pi+                 91  1245     0     0     0     0     0      0.426     -0.336    -18.024     18.032      0.140
  1487       111   (pi0)              -91  1245     0  1816  1817     0     0      0.246      0.298     -2.602      2.634      0.135
  1488      -211   pi-                 91  1246     0     0     0     0     0     -0.355     -0.120     -2.896      2.924      0.140
  1489       111   (pi0)              -91  1246     0  1818  1819     0     0      0.157      0.197    -10.339     10.343      0.135
  1490       211   pi+                 91  1247     0     0     0     0     0     -0.503      0.142     -0.587      0.798      0.140
  1491      -211   pi-                 91  1247     0     0     0     0     0      0.062     -0.211     -0.258      0.366      0.140
  1492       130   K_L0                91  1251  1251     0     0     0     0      0.625      0.524     18.856     18.881      0.498
  1493       130   K_L0                91  1252  1252     0     0     0     0      0.710      0.265      5.430      5.505      0.498
  1494       211   pi+                 91  1255     0     0     0     0     0      0.632      0.188      4.695      4.743      0.140
  1495       111   (pi0)              -91  1255     0  1820  1821     0     0      0.016      0.365      0.928      1.007      0.135
  1496       211   pi+                 91  1257     0     0     0     0     0      0.647      0.552      1.961      2.142      0.140
  1497      -211   pi-                 91  1257     0     0     0     0     0      0.430     -0.165      1.818      1.881      0.140
  1498       310   (K_S0)             -91  1285  1285  1822  1823     0     0     -1.153     -0.499    -37.093     37.117      0.498
  1499       211   pi+                 91  1288     0     0     0     0     0      0.021     -0.561    -13.598     13.611      0.140
  1500       111   (pi0)              -91  1288     0  1824  1825     0     0      1.040     -0.219    -15.799     15.835      0.135
  1501       130   K_L0                91  1289  1289     0     0     0     0     -0.145     -0.521    -14.381     14.400      0.498
  1502      -321   K-                  91  1290     0     0     0     0     0      0.025     -0.163     -0.955      1.088      0.494
  1503       211   pi+                 91  1290     0     0     0     0     0      0.352     -0.991     -1.457      1.802      0.140
  1504       310   (K_S0)             -91  1293  1293  1826  1827     0     0      0.324     -0.151     -0.385      0.724      0.498
  1505       211   pi+                 91  1294     0     0     0     0     0      0.341      0.376     -0.335      0.624      0.140
  1506      -211   pi-                 91  1294     0     0     0     0     0      0.274     -0.321     -0.303      0.538      0.140
  1507      -211   pi-                 91  1295     0     0     0     0     0      0.222      0.044     -0.309      0.407      0.140
  1508       111   (pi0)              -91  1295     0  1828  1829     0     0     -0.077      0.087      0.323      0.369      0.135
  1509      -211   pi-                 91  1301     0     0     0     0     0     -0.006      0.340      2.408      2.436      0.140
  1510       111   (pi0)              -91  1301     0  1830  1831     0     0      0.674      0.227      3.630      3.701      0.135
  1511       321   K+                  91  1303     0     0     0     0     0      0.114     -0.354      2.871      2.936      0.494
  1512      -211   pi-                 91  1303     0     0     0     0     0      0.390     -0.592      1.693      1.841      0.140
  1513      -321   K-                  91  1304     0     0     0     0     0      0.639     -0.346      5.678      5.745      0.494
  1514       211   pi+                 91  1304     0     0     0     0     0      1.101      0.369      4.839      4.978      0.140
  1515       211   pi+                 91  1307     0     0     0     0     0     -1.198     -0.280      6.970      7.079      0.140
  1516      -211   pi-                 91  1307     0     0     0     0     0     -0.339     -0.460      1.225      1.359      0.140
  1517     -3122   (Lambdabar0)       -91  1308     0  1832  1833     0     0     -0.189     -0.761     11.070     11.154      1.116
  1518       211   pi+                 91  1308     0     0     0     0     0      0.187     -0.049      2.858      2.868      0.140
  1519      -211   pi-                 91  1309     0     0     0     0     0     -0.793      0.562     10.503     10.549      0.140
  1520       111   (pi0)              -91  1309     0  1834  1835     0     0      0.204      0.196      1.011      1.059      0.135
  1521       211   pi+                 91  1320     0     0     0     0     0      0.647      0.547     90.661     90.665      0.140
  1522       111   (pi0)              -91  1320     0  1836  1837     0     0      0.885      0.191    168.242    168.245      0.135
  1523      -211   pi-                 91  1323     0     0     0     0     0      0.699      0.249    114.655    114.657      0.140
  1524       111   (pi0)              -91  1323     0  1838  1839     0     0     -0.126      0.093     71.167     71.167      0.135
  1525      2112   n0                  91  1330     0     0     0     0     0     -0.441     -0.412    349.228    349.230      0.940
  1526      -211   pi-                 91  1330     0     0     0     0     0     -0.146     -0.616    212.843    212.844      0.140
  1527     -2112   nbar0               91  1331     0     0     0     0     0     -0.424     -0.180    203.979    203.981      0.940
  1528       211   pi+                 91  1331     0     0     0     0     0     -0.075      0.450    125.350    125.351      0.140
  1529     -2112   nbar0               91  1335     0     0     0     0     0     -0.274     -0.204      9.129      9.183      0.940
  1530       111   (pi0)              -91  1335     0  1840  1841     0     0      0.243      0.054      1.426      1.454      0.135
  1531       211   pi+                 91  1338     0     0     0     0     0      0.276     -0.164      0.578      0.676      0.140
  1532      -211   pi-                 91  1338     0     0     0     0     0     -0.242     -0.069      2.318      2.336      0.140
  1533       211   pi+                 91  1345     0     0     0     0     0     -0.794     -0.262    -78.411     78.415      0.140
  1534      -211   pi-                 91  1345     0     0     0     0     0     -1.379     -1.657   -150.004    150.020      0.140
  1535       310   (K_S0)             -91  1347  1347  1842  1843     0     0      0.579      2.247      4.592      5.169      0.498
  1536       130   K_L0                91  1355  1355     0     0     0     0      0.036     -0.149      3.391      3.431      0.498
  1537       310   (K_S0)             -91  1365  1365  1844  1845     0     0      0.331     -0.293     -0.113      0.675      0.498
  1538       310   (K_S0)             -91  1428  1428  1846  1847     0     0     -0.549      0.318    449.764    449.765      0.498
  1539       310   (K_S0)             -91  1442  1442  1848  1849     0     0      0.000     -0.472     19.868     19.879      0.498
  1540       130   K_L0                91  1466  1466     0     0     0     0      0.245     -0.452      0.810      1.081      0.498
  1541        22   gamma               91   912     0     0     0     0     0      2.154      0.346    -14.403     14.568      0.000
  1542        22   gamma               91   912     0     0     0     0     0      3.651      0.422    -23.816     24.098      0.000
  1543      -421   (Dbar0)            -91   918     0  1850  1852     0     0     -1.068      0.062      5.820      6.205      1.865
  1544        22   gamma               91   918     0     0     0     0     0     -0.176     -0.081      0.322      0.376      0.000
  1545        22   gamma               91   933     0     0     0     0     0     -1.038      1.018   -117.053    117.062      0.000
  1546        22   gamma               91   933     0     0     0     0     0     -0.148      0.099    -17.341     17.342      0.000
  1547        22   gamma               91   935     0     0     0     0     0     -0.329      0.178    -52.119     52.120      0.000
  1548        22   gamma               91   935     0     0     0     0     0     -0.779      0.310    -94.788     94.792      0.000
  1549        22   gamma               91   944     0     0     0     0     0     -0.076      0.194     60.666     60.666      0.000
  1550        22   gamma               91   944     0     0     0     0     0      0.050      0.046     19.784     19.784      0.000
  1551        22   gamma               91   950     0     0     0     0     0     -0.020      0.049      1.155      1.156      0.000
  1552        22   gamma               91   950     0     0     0     0     0      0.013      0.029      0.054      0.063      0.000
  1553        22   gamma               91   967     0     0     0     0     0      0.082      0.202     -0.113      0.245      0.000
  1554        22   gamma               91   967     0     0     0     0     0     -0.041      0.075     -0.098      0.130      0.000
  1555       211   pi+                 91   970     0     0     0     0     0      0.036     -0.279     -0.375      0.490      0.140
  1556      -211   pi-                 91   970     0     0     0     0     0      0.038     -0.009      0.037      0.150      0.140
  1557       111   (pi0)              -91   970     0  1853  1854     0     0      0.019      0.109     -0.406      0.442      0.135
  1558       211   pi+                 91   992     0     0     0     0     0      0.082     -0.459      0.007      0.487      0.140
  1559      -211   pi-                 91   992     0     0     0     0     0      0.278     -0.379      0.182      0.524      0.140
  1560       111   (pi0)              -91   992     0  1855  1856     0     0      0.218      0.025      0.139      0.293      0.135
  1561        22   gamma               91   993     0     0     0     0     0      0.217     -0.351     -0.276      0.496      0.000
  1562        22   gamma               91   993     0     0     0     0     0      0.084     -0.077     -0.168      0.203      0.000
  1563        22   gamma               91   994     0     0     0     0     0      0.089     -0.549      0.035      0.557      0.000
  1564        22   gamma               91   994     0     0     0     0     0      0.007     -0.160      0.083      0.181      0.000
  1565        22   gamma               91   995     0     0     0     0     0      0.047      0.240      0.154      0.289      0.000
  1566        22   gamma               91   995     0     0     0     0     0     -0.002      0.009      0.081      0.082      0.000
  1567       211   pi+                 91  1002     0     0     0     0     0      0.028      0.132     -1.034      1.052      0.140
  1568      -211   pi-                 91  1002     0     0     0     0     0      0.014      0.254     -0.755      0.809      0.140
  1569       111   (pi0)              -91  1002     0  1857  1858     0     0     -0.436      1.343     -4.083      4.322      0.135
  1570       111   (pi0)              -91  1008     0  1859  1860     0     0      0.519      0.014    -27.951     27.956      0.135
  1571        22   gamma               91  1008     0     0     0     0     0      0.842      0.547    -22.547     22.569      0.000
  1572       321   K+                  91  1043     0     0     0     0     0      0.298      0.040     -0.596      0.830      0.494
  1573      -321   K-                  91  1043     0     0     0     0     0      0.390     -0.195     -0.739      0.990      0.494
  1574        22   gamma               91  1046     0     0     0     0     0      0.542     -0.073      0.014      0.547      0.000
  1575        22   gamma               91  1046     0     0     0     0     0      0.661     -0.221     -0.058      0.699      0.000
  1576       211   pi+                 91  1048     0     0     0     0     0      0.182      0.006      0.704      0.740      0.140
  1577      -211   pi-                 91  1048     0     0     0     0     0     -0.079     -0.455      0.732      0.877      0.140
  1578       111   (pi0)              -91  1048     0  1861  1862     0     0     -0.023      0.006      0.466      0.486      0.135
  1579        22   gamma               91  1049     0     0     0     0     0     -1.509      0.235      1.967      2.490      0.000
  1580        22   gamma               91  1049     0     0     0     0     0     -0.901      0.126      1.011      1.360      0.000
  1581       111   (pi0)              -91  1051     0  1863  1864     0     0     -0.510      0.145      0.676      0.870      0.135
  1582       111   (pi0)              -91  1051     0  1865  1866     0     0     -0.601     -0.123      0.741      0.971      0.135
  1583       111   (pi0)              -91  1051     0  1867  1868     0     0     -0.507     -0.103      0.655      0.846      0.135
  1584        22   gamma               91  1054     0     0     0     0     0      0.014      0.045      0.187      0.193      0.000
  1585        22   gamma               91  1054     0     0     0     0     0     -0.057     -0.064      0.782      0.787      0.000
  1586        22   gamma               91  1056     0     0     0     0     0     -0.494     -0.373      0.476      0.781      0.000
  1587        22   gamma               91  1056     0     0     0     0     0     -0.223     -0.073      0.220      0.322      0.000
  1588        22   gamma               91  1057     0     0     0     0     0     -0.270     -1.165      1.896      2.241      0.000
  1589        22   gamma               91  1057     0     0     0     0     0     -0.185     -1.401      2.341      2.734      0.000
  1590       211   pi+                 91  1061     0     0     0     0     0     -0.593     -0.294      1.572      1.711      0.140
  1591      -211   pi-                 91  1061     0     0     0     0     0     -0.604     -0.411      0.752      1.058      0.140
  1592       111   (pi0)              -91  1061     0  1869  1870     0     0     -0.092     -0.137      0.462      0.509      0.135
  1593        22   gamma               91  1069     0     0     0     0     0     -1.573     -0.114      2.327      2.811      0.000
  1594        22   gamma               91  1069     0     0     0     0     0     -0.622      0.033      0.860      1.062      0.000
  1595        22   gamma               91  1070     0     0     0     0     0     -0.385     -0.098      0.564      0.690      0.000
  1596        22   gamma               91  1070     0     0     0     0     0     -0.072     -0.041      0.252      0.265      0.000
  1597       211   pi+                 91  1078     0     0     0     0     0     -0.221      0.551     -0.053      0.612      0.140
  1598      -211   pi-                 91  1078     0     0     0     0     0     -0.682      1.317     -0.563      1.592      0.140
  1599       111   (pi0)              -91  1078     0  1871  1872     0     0     -0.521      1.175     -0.825      1.534      0.135
  1600       321   K+                  91  1081     0     0     0     0     0     -6.230      9.369     -4.976     12.313      0.494
  1601      -321   K-                  91  1081     0     0     0     0     0     -9.372     13.923     -7.620     18.439      0.494
  1602        22   gamma               91  1090     0     0     0     0     0      0.133     -0.158      0.581      0.616      0.000
  1603        22   gamma               91  1090     0     0     0     0     0      0.049     -0.109      0.756      0.765      0.000
  1604       211   pi+                 91  1091     0     0     0     0     0     -0.126      0.167      4.514      4.521      0.140
  1605      -211   pi-                 91  1091     0     0     0     0     0      0.074     -0.050      0.962      0.976      0.140
  1606       111   (pi0)              -91  1091     0  1873  1874     0     0     -0.407     -0.047      5.437      5.454      0.135
  1607       211   pi+                 91  1094     0     0     0     0     0      0.320      0.093     -0.774      0.854      0.140
  1608      -211   pi-                 91  1094     0     0     0     0     0     -0.118      0.009     -0.409      0.448      0.140
  1609       111   (pi0)              -91  1094     0  1875  1876     0     0      0.065      0.066     -0.126      0.206      0.135
  1610        22   gamma               91  1112     0     0     0     0     0     -0.400     -0.122     20.427     20.431      0.000
  1611        22   gamma               91  1112     0     0     0     0     0      0.139      0.108     13.681     13.682      0.000
  1612       211   pi+                 91  1114     0     0     0     0     0      0.072     -0.124      1.570      1.583      0.140
  1613      -211   pi-                 91  1114     0     0     0     0     0      0.047      0.014      1.789      1.795      0.140
  1614       111   (pi0)              -91  1114     0  1877  1878     0     0      0.326      0.409      2.509      2.566      0.135
  1615      2212   p+                  91  1115     0     0     0     0     0     -0.649     -0.393      2.526      2.800      0.938
  1616      -211   pi-                 91  1115     0     0     0     0     0     -0.065      0.049      0.339      0.376      0.140
  1617     -2112   nbar0               91  1117     0     0     0     0     0     -0.113     -0.096     -0.372      1.021      0.940
  1618       211   pi+                 91  1117     0     0     0     0     0     -0.238      0.081     -0.206      0.354      0.140
  1619       211   pi+                 91  1119     0     0     0     0     0      0.233      0.050     -0.525      0.593      0.140
  1620      -211   pi-                 91  1119     0     0     0     0     0      0.015      0.200     -0.088      0.260      0.140
  1621       111   (pi0)              -91  1119     0  1879  1880     0     0     -0.021     -0.166     -0.173      0.276      0.135
  1622       111   (pi0)              -91  1122     0  1881  1882     0     0     -0.163      0.048     -1.064      1.085      0.135
  1623        22   gamma               91  1122     0     0     0     0     0      0.489     -0.688     -4.030      4.118      0.000
  1624        22   gamma               91  1129     0     0     0     0     0      0.013     -0.055     -0.004      0.056      0.000
  1625        22   gamma               91  1129     0     0     0     0     0     -0.224     -0.261      0.100      0.358      0.000
  1626        22   gamma               91  1131     0     0     0     0     0     -0.014      0.022      0.170      0.172      0.000
  1627        22   gamma               91  1131     0     0     0     0     0     -0.070      0.046      0.022      0.087      0.000
  1628        22   gamma               91  1136     0     0     0     0     0     -0.287      0.081      0.326      0.442      0.000
  1629        22   gamma               91  1136     0     0     0     0     0     -0.696      0.290      0.563      0.941      0.000
  1630        22   gamma               91  1137     0     0     0     0     0      0.046     -0.045      0.101      0.120      0.000
  1631        22   gamma               91  1137     0     0     0     0     0     -0.044     -0.015     -0.017      0.050      0.000
  1632        22   gamma               91  1139     0     0     0     0     0      0.082      0.081      0.233      0.260      0.000
  1633        22   gamma               91  1139     0     0     0     0     0      0.040      0.093      0.034      0.107      0.000
  1634        22   gamma               91  1143     0     0     0     0     0      0.068      0.368      6.880      6.891      0.000
  1635        22   gamma               91  1143     0     0     0     0     0      0.109      0.119     19.327     19.328      0.000
  1636        22   gamma               91  1146     0     0     0     0     0     -0.122      0.041     45.087     45.087      0.000
  1637        22   gamma               91  1146     0     0     0     0     0     -0.212     -0.071     48.999     49.000      0.000
  1638        22   gamma               91  1153     0     0     0     0     0     -0.833      0.263   -108.355    108.359      0.000
  1639        22   gamma               91  1153     0     0     0     0     0     -0.646      0.202    -70.489     70.493      0.000
  1640       211   pi+                 91  1154     0     0     0     0     0      0.025      0.060    -11.422     11.423      0.140
  1641      -211   pi-                 91  1154     0     0     0     0     0      0.013     -0.322    -34.475     34.477      0.140
  1642       111   (pi0)              -91  1154     0  1883  1884     0     0     -0.193     -0.594    -83.857     83.859      0.135
  1643       211   pi+                 91  1157     0     0     0     0     0     -0.096      0.225    -53.734     53.735      0.140
  1644      -211   pi-                 91  1157     0     0     0     0     0     -0.205      0.050    -73.863     73.864      0.140
  1645       111   (pi0)              -91  1157     0  1885  1886     0     0     -0.166      0.251    -52.705     52.706      0.135
  1646        22   gamma               91  1158     0     0     0     0     0     -0.112     -0.063    -16.422     16.422      0.000
  1647        22   gamma               91  1158     0     0     0     0     0     -0.268     -0.374    -41.637     41.640      0.000
  1648       211   pi+                 91  1163     0     0     0     0     0     -0.240      0.035     -0.161      0.323      0.140
  1649      -211   pi-                 91  1163     0     0     0     0     0      0.389     -0.027     -1.042      1.121      0.140
  1650        22   gamma               91  1164     0     0     0     0     0     -0.248     -0.550      0.571      0.831      0.000
  1651        22   gamma               91  1164     0     0     0     0     0      0.004     -0.046      0.010      0.047      0.000
  1652       211   pi+                 91  1171     0     0     0     0     0     -0.718      0.585   -195.959    195.962      0.140
  1653      -211   pi-                 91  1171     0     0     0     0     0     -0.228      0.252    -49.800     49.802      0.140
  1654       111   (pi0)              -91  1171     0  1887  1888     0     0     -1.403      1.044   -251.251    251.257      0.135
  1655       421   (D0)               -91  1196     0  1889  1891     0     0      3.547     -9.697     10.264     14.678      1.865
  1656       111   (pi0)              -91  1196     0  1892  1893     0     0      0.172     -0.521      0.554      0.792      0.135
  1657        22   gamma               91  1197     0     0     0     0     0      0.124     -0.317      0.145      0.370      0.000
  1658        22   gamma               91  1197     0     0     0     0     0      0.212     -0.223      0.077      0.317      0.000
  1659       211   pi+                 91  1202     0     0     0     0     0      0.135     -0.138     -0.333      0.410      0.140
  1660      -211   pi-                 91  1202     0     0     0     0     0     -0.192     -0.094     -0.105      0.276      0.140
  1661       111   (pi0)              -91  1202     0  1894  1895     0     0      0.018      0.094      0.080      0.184      0.135
  1662        22   gamma               91  1205     0     0     0     0     0      0.013      0.021     -0.115      0.118      0.000
  1663        22   gamma               91  1205     0     0     0     0     0      0.617     -0.044     -3.839      3.889      0.000
  1664       111   (pi0)              -91  1206     0  1896  1897     0     0     -0.107     -0.024     -2.079      2.086      0.135
  1665       111   (pi0)              -91  1206     0  1898  1899     0     0     -0.117      0.085     -1.203      1.219      0.135
  1666       111   (pi0)              -91  1206     0  1900  1901     0     0      0.049      0.167     -1.371      1.389      0.135
  1667       211   pi+                 91  1209     0     0     0     0     0     -0.046     -0.042     -3.724      3.727      0.140
  1668      -211   pi-                 91  1209     0     0     0     0     0      0.016     -0.039     -6.348      6.350      0.140
  1669        22   gamma               91  1209     0     0     0     0     0     -0.205      0.088     -2.755      2.764      0.000
  1670        22   gamma               91  1210     0     0     0     0     0     -0.608      0.469    -86.171     86.175      0.000
  1671        22   gamma               91  1210     0     0     0     0     0     -0.078      0.008     -9.503      9.504      0.000
  1672       111   (pi0)              -91  1213     0  1902  1903     0     0     -0.039      0.360    -80.690     80.691      0.135
  1673        22   gamma               91  1213     0     0     0     0     0     -0.450      0.457    -37.064     37.069      0.000
  1674        22   gamma               91  1214     0     0     0     0     0     -0.632      0.502    -89.605     89.609      0.000
  1675        22   gamma               91  1214     0     0     0     0     0     -0.019      0.005     -0.830      0.830      0.000
  1676        22   gamma               91  1231     0     0     0     0     0      0.359      0.110    -65.561     65.562      0.000
  1677        22   gamma               91  1231     0     0     0     0     0      0.138      0.024    -13.910     13.911      0.000
  1678       211   pi+                 91  1233     0     0     0     0     0      0.289     -0.245    -56.813     56.814      0.140
  1679      -211   pi-                 91  1233     0     0     0     0     0      0.251      0.092    -68.519     68.520      0.140
  1680       111   (pi0)              -91  1233     0  1904  1905     0     0      1.021     -0.320   -193.454    193.457      0.135
  1681        22   gamma               91  1235     0     0     0     0     0      0.168     -0.008    -26.855     26.855      0.000
  1682        22   gamma               91  1235     0     0     0     0     0      0.579     -0.235    -78.169     78.171      0.000
  1683        22   gamma               91  1236     0     0     0     0     0      0.460     -0.337    -70.656     70.659      0.000
  1684        22   gamma               91  1236     0     0     0     0     0      0.004      0.011     -2.325      2.325      0.000
  1685        22   gamma               91  1249     0     0     0     0     0      0.065      0.036     -0.053      0.091      0.000
  1686        22   gamma               91  1249     0     0     0     0     0      0.639      0.434     -0.087      0.777      0.000
  1687        22   gamma               91  1250     0     0     0     0     0     -0.562      0.358      6.906      6.938      0.000
  1688        22   gamma               91  1250     0     0     0     0     0     -0.138      0.045      1.059      1.069      0.000
  1689       211   pi+                 91  1254     0     0     0     0     0      0.280      0.110      3.982      3.995      0.140
  1690      -211   pi-                 91  1254     0     0     0     0     0      0.510      0.230     12.254     12.268      0.140
  1691       111   (pi0)              -91  1254     0  1906  1907     0     0     -0.025     -0.020      0.909      0.920      0.135
  1692        22   gamma               91  1256     0     0     0     0     0      0.046     -0.019      0.046      0.068      0.000
  1693        22   gamma               91  1256     0     0     0     0     0      1.256      0.101      9.210      9.296      0.000
  1694       111   (pi0)              -91  1258     0  1908  1909     0     0      0.512     -0.050      1.391      1.489      0.135
  1695       111   (pi0)              -91  1258     0  1910  1911     0     0      1.508     -0.377      3.818      4.125      0.135
  1696       111   (pi0)              -91  1258     0  1912  1913     0     0      1.559     -0.153      4.180      4.467      0.135
  1697        22   gamma               91  1286     0     0     0     0     0      0.495     -0.850    -18.367     18.393      0.000
  1698        22   gamma               91  1286     0     0     0     0     0      0.644     -0.982    -36.207     36.226      0.000
  1699       211   pi+                 91  1297     0     0     0     0     0      0.181      0.195      0.236      0.382      0.140
  1700      -211   pi-                 91  1297     0     0     0     0     0      0.617      0.049      0.539      0.833      0.140
  1701       111   (pi0)              -91  1297     0  1914  1915     0     0      0.420     -0.168      0.786      0.917      0.135
  1702        22   gamma               91  1298     0     0     0     0     0     -0.044      0.104     -0.059      0.128      0.000
  1703        22   gamma               91  1298     0     0     0     0     0      0.556      0.055      0.540      0.777      0.000
  1704        22   gamma               91  1305     0     0     0     0     0     -0.112     -0.202      0.391      0.454      0.000
  1705        22   gamma               91  1305     0     0     0     0     0     -0.079     -0.576      0.952      1.116      0.000
  1706      2112   n0                  91  1306     0     0     0     0     0     -1.062      0.023      6.175      6.336      0.940
  1707      -211   pi-                 91  1306     0     0     0     0     0     -0.117     -0.118      0.448      0.498      0.140
  1708       211   pi+                 91  1310     0     0     0     0     0     -0.075     -0.256      1.972      1.995      0.140
  1709      -211   pi-                 91  1310     0     0     0     0     0     -0.030     -0.143      7.476      7.479      0.140
  1710       111   (pi0)              -91  1310     0  1916  1917     0     0     -0.220     -0.355      7.066      7.080      0.135
  1711       211   pi+                 91  1315     0     0     0     0     0      0.160      0.086     45.304     45.305      0.140
  1712      -211   pi-                 91  1315     0     0     0     0     0     -0.057      0.008     11.356     11.357      0.140
  1713       111   (pi0)              -91  1315     0  1918  1919     0     0      0.019      0.044     12.107     12.108      0.135
  1714        22   gamma               91  1316     0     0     0     0     0      0.128      0.155     17.342     17.343      0.000
  1715        22   gamma               91  1316     0     0     0     0     0      0.042      0.299     25.525     25.527      0.000
  1716        22   gamma               91  1318     0     0     0     0     0      0.252      0.011     18.168     18.170      0.000
  1717        22   gamma               91  1318     0     0     0     0     0      0.295     -0.042     33.776     33.777      0.000
  1718        22   gamma               91  1321     0     0     0     0     0      0.195     -0.079     30.975     30.976      0.000
  1719        22   gamma               91  1321     0     0     0     0     0     -0.015      0.004      7.704      7.704      0.000
  1720       111   (pi0)              -91  1322     0  1920  1921     0     0      0.048      0.178     75.140     75.140      0.135
  1721       111   (pi0)              -91  1322     0  1922  1923     0     0     -0.004      0.152     21.835     21.836      0.135
  1722       111   (pi0)              -91  1322     0  1924  1925     0     0      0.071      0.328     76.494     76.495      0.135
  1723        22   gamma               91  1336     0     0     0     0     0      0.109      0.043      0.720      0.730      0.000
  1724        22   gamma               91  1336     0     0     0     0     0      0.060     -0.051      0.186      0.202      0.000
  1725       211   pi+                 91  1337     0     0     0     0     0     -0.105      0.088      0.489      0.526      0.140
  1726      -211   pi-                 91  1337     0     0     0     0     0      0.183      0.070      1.982      1.996      0.140
  1727       111   (pi0)              -91  1337     0  1926  1927     0     0     -0.088      0.147      2.594      2.603      0.135
  1728        22   gamma               91  1339     0     0     0     0     0     -0.210      0.137      0.172      0.304      0.000
  1729        22   gamma               91  1339     0     0     0     0     0      0.325      0.015      0.328      0.461      0.000
  1730        22   gamma               91  1341     0     0     0     0     0     -0.047     -0.184      0.098      0.214      0.000
  1731        22   gamma               91  1341     0     0     0     0     0     -0.126     -0.069      0.106      0.178      0.000
  1732        22   gamma               91  1343     0     0     0     0     0      0.058      0.393     -3.431      3.454      0.000
  1733        22   gamma               91  1343     0     0     0     0     0      0.417      0.411     -1.996      2.080      0.000
  1734        22   gamma               91  1356     0     0     0     0     0      0.144      0.318      1.864      1.897      0.000
  1735        22   gamma               91  1356     0     0     0     0     0      0.013      0.002      0.011      0.017      0.000
  1736        22   gamma               91  1358     0     0     0     0     0      0.488      0.885      4.574      4.685      0.000
  1737        22   gamma               91  1358     0     0     0     0     0      0.333      0.421      2.242      2.305      0.000
  1738        22   gamma               91  1362     0     0     0     0     0     16.154     -5.018    -15.819     23.160      0.000
  1739        22   gamma               91  1362     0     0     0     0     0      0.852     -0.246     -0.796      1.191      0.000
  1740        22   gamma               91  1364     0     0     0     0     0      1.441     -0.409     -0.958      1.778      0.000
  1741        22   gamma               91  1364     0     0     0     0     0      0.955     -0.216     -0.742      1.229      0.000
  1742        22   gamma               91  1366     0     0     0     0     0      0.014     -0.004      0.011      0.019      0.000
  1743        22   gamma               91  1366     0     0     0     0     0      1.012     -0.825     -0.191      1.320      0.000
  1744        22   gamma               91  1368     0     0     0     0     0      0.116     -0.015      0.023      0.120      0.000
  1745        22   gamma               91  1368     0     0     0     0     0      0.103      0.018     -0.111      0.152      0.000
  1746        22   gamma               91  1370     0     0     0     0     0      0.079     -0.469     -0.033      0.477      0.000
  1747        22   gamma               91  1370     0     0     0     0     0      0.110     -0.430     -0.159      0.472      0.000
  1748        22   gamma               91  1374     0     0     0     0     0     -0.104      0.012     -0.167      0.198      0.000
  1749        22   gamma               91  1374     0     0     0     0     0     -1.661     -0.297     -3.150      3.573      0.000
  1750        22   gamma               91  1378     0     0     0     0     0      0.091     -0.087     -0.571      0.585      0.000
  1751        22   gamma               91  1378     0     0     0     0     0      0.020     -0.045     -0.038      0.063      0.000
  1752        22   gamma               91  1380     0     0     0     0     0     -0.023      0.041      0.017      0.050      0.000
  1753        22   gamma               91  1380     0     0     0     0     0      0.039     -0.011     -0.111      0.118      0.000
  1754        22   gamma               91  1384     0     0     0     0     0      0.016     -0.035     -0.091      0.099      0.000
  1755        22   gamma               91  1384     0     0     0     0     0      0.143      0.039     -1.185      1.194      0.000
  1756        22   gamma               91  1386     0     0     0     0     0      0.039      0.026     -0.483      0.485      0.000
  1757        22   gamma               91  1386     0     0     0     0     0     -0.097      0.152     -1.182      1.196      0.000
  1758        22   gamma               91  1394     0     0     0     0     0      0.883      0.088     -2.915      3.047      0.000
  1759        22   gamma               91  1394     0     0     0     0     0     -0.004      0.001     -0.003      0.005      0.000
  1760        22   gamma               91  1397     0     0     0     0     0      0.875     -0.868     -1.179      1.706      0.000
  1761        22   gamma               91  1397     0     0     0     0     0      0.484     -0.362     -0.518      0.796      0.000
  1762        22   gamma               91  1399     0     0     0     0     0     -0.287     -0.213     -0.030      0.358      0.000
  1763        22   gamma               91  1399     0     0     0     0     0     -0.025     -0.094      0.020      0.100      0.000
  1764        22   gamma               91  1401     0     0     0     0     0     -0.502      0.115      0.799      0.950      0.000
  1765        22   gamma               91  1401     0     0     0     0     0     -0.649      0.031      1.203      1.367      0.000
  1766      2112   n0                  91  1407     0     0     0     0     0      0.248     -2.083      2.864      3.672      0.940
  1767       111   (pi0)              -91  1407     0  1928  1929     0     0     -0.045     -0.552      0.718      0.917      0.135
  1768        22   gamma               91  1408     0     0     0     0     0      0.089     -0.465      0.635      0.793      0.000
  1769        22   gamma               91  1408     0     0     0     0     0     -0.011     -0.766      0.909      1.189      0.000
  1770        22   gamma               91  1410     0     0     0     0     0     -0.174     -0.089      0.176      0.263      0.000
  1771        22   gamma               91  1410     0     0     0     0     0     -0.512     -0.343      0.908      1.097      0.000
  1772        22   gamma               91  1412     0     0     0     0     0     -1.417     -0.471      2.716      3.099      0.000
  1773        22   gamma               91  1412     0     0     0     0     0     -0.692     -0.324      1.318      1.523      0.000
  1774        22   gamma               91  1415     0     0     0     0     0     -2.502     -0.988      3.909      4.746      0.000
  1775        22   gamma               91  1415     0     0     0     0     0     -0.328     -0.112      0.428      0.551      0.000
  1776        22   gamma               91  1417     0     0     0     0     0     -0.490     -0.187      1.031      1.157      0.000
  1777        22   gamma               91  1417     0     0     0     0     0     -0.656     -0.191      1.056      1.258      0.000
  1778        22   gamma               91  1419     0     0     0     0     0     -0.066     -0.032      0.050      0.089      0.000
  1779        22   gamma               91  1419     0     0     0     0     0     -0.088      0.068      0.285      0.305      0.000
  1780        22   gamma               91  1421     0     0     0     0     0      0.042     -0.048      0.023      0.068      0.000
  1781        22   gamma               91  1421     0     0     0     0     0     -0.057     -0.050     -0.076      0.108      0.000
  1782        22   gamma               91  1425     0     0     0     0     0     -0.293      0.017     -0.042      0.297      0.000
  1783        22   gamma               91  1425     0     0     0     0     0     -0.848      0.139     -0.345      0.926      0.000
  1784        22   gamma               91  1437     0     0     0     0     0      0.026      0.247      0.158      0.294      0.000
  1785        22   gamma               91  1437     0     0     0     0     0     -0.052      0.094      0.153      0.187      0.000
  1786        22   gamma               91  1441     0     0     0     0     0     -0.074     -0.018     -0.014      0.078      0.000
  1787        22   gamma               91  1441     0     0     0     0     0     -0.122      0.126      0.076      0.191      0.000
  1788        22   gamma               91  1448     0     0     0     0     0      0.094      0.169     -8.390      8.392      0.000
  1789        22   gamma               91  1448     0     0     0     0     0      0.140      0.072    -11.362     11.364      0.000
  1790        22   gamma               91  1450     0     0     0     0     0      0.334      0.238     -3.459      3.484      0.000
  1791        22   gamma               91  1450     0     0     0     0     0      0.159      0.072     -2.346      2.353      0.000
  1792        22   gamma               91  1454     0     0     0     0     0      0.041      0.182     -0.912      0.931      0.000
  1793        22   gamma               91  1454     0     0     0     0     0     -0.080      0.095     -0.621      0.633      0.000
  1794        22   gamma               91  1456     0     0     0     0     0      0.002      0.152     -0.711      0.727      0.000
  1795        22   gamma               91  1456     0     0     0     0     0      0.060      0.057     -0.150      0.172      0.000
  1796        22   gamma               91  1458     0     0     0     0     0      0.117      0.134     -0.651      0.675      0.000
  1797        22   gamma               91  1458     0     0     0     0     0     -0.012      0.047     -0.522      0.524      0.000
  1798       211   pi+                 91  1463     0     0     0     0     0      0.877     -0.413      5.277      5.367      0.140
  1799      -211   pi-                 91  1463     0     0     0     0     0      0.253     -0.407      2.305      2.359      0.140
  1800        22   gamma               91  1465     0     0     0     0     0     -0.007      0.040      1.027      1.027      0.000
  1801        22   gamma               91  1465     0     0     0     0     0      0.092      0.013      0.513      0.521      0.000
  1802       211   pi+                 91  1468     0     0     0     0     0      0.012     -0.424     -0.086      0.455      0.140
  1803      -211   pi-                 91  1468     0     0     0     0     0      0.007     -0.093      0.218      0.275      0.140
  1804        22   gamma               91  1470     0     0     0     0     0      0.114      0.148     -0.091      0.208      0.000
  1805        22   gamma               91  1470     0     0     0     0     0      0.229      0.076     -0.187      0.305      0.000
  1806        22   gamma               91  1472     0     0     0     0     0      0.005      0.004     -0.017      0.018      0.000
  1807        22   gamma               91  1472     0     0     0     0     0      0.117     -0.246      0.170      0.321      0.000
  1808        22   gamma               91  1476     0     0     0     0     0     -0.449      0.634    -49.587     49.593      0.000
  1809        22   gamma               91  1476     0     0     0     0     0     -0.212      0.178    -20.261     20.263      0.000
  1810        22   gamma               91  1478     0     0     0     0     0      0.117      0.086     -4.258      4.261      0.000
  1811        22   gamma               91  1478     0     0     0     0     0      0.093      0.013     -7.532      7.532      0.000
  1812        22   gamma               91  1482     0     0     0     0     0      0.252     -0.590   -147.798    147.799      0.000
  1813        22   gamma               91  1482     0     0     0     0     0      0.158     -0.168    -51.832     51.833      0.000
  1814       211   pi+                 91  1484     0     0     0     0     0      0.054     -0.022     -2.763      2.767      0.140
  1815      -211   pi-                 91  1484     0     0     0     0     0      0.013     -0.555    -23.702     23.709      0.140
  1816        22   gamma               91  1487     0     0     0     0     0      0.121      0.214     -1.914      1.930      0.000
  1817        22   gamma               91  1487     0     0     0     0     0      0.125      0.084     -0.688      0.704      0.000
  1818        22   gamma               91  1489     0     0     0     0     0      0.035      0.140     -4.216      4.218      0.000
  1819        22   gamma               91  1489     0     0     0     0     0      0.122      0.057     -6.124      6.125      0.000
  1820        22   gamma               91  1495     0     0     0     0     0      0.005      0.313      0.628      0.702      0.000
  1821        22   gamma               91  1495     0     0     0     0     0      0.012      0.052      0.300      0.305      0.000
  1822       111   (pi0)              -91  1498     0  1930  1931     0     0     -0.223     -0.048     -4.383      4.391      0.135
  1823       111   (pi0)              -91  1498     0  1932  1933     0     0     -0.930     -0.451    -32.710     32.726      0.135
  1824        22   gamma               91  1500     0     0     0     0     0      0.508     -0.155     -7.152      7.172      0.000
  1825        22   gamma               91  1500     0     0     0     0     0      0.532     -0.064     -8.647      8.664      0.000
  1826       211   pi+                 91  1504     0     0     0     0     0      0.353     -0.144     -0.412      0.578      0.140
  1827      -211   pi-                 91  1504     0     0     0     0     0     -0.029     -0.007      0.027      0.145      0.140
  1828        22   gamma               91  1508     0     0     0     0     0     -0.053      0.036      0.030      0.071      0.000
  1829        22   gamma               91  1508     0     0     0     0     0     -0.024      0.051      0.293      0.298      0.000
  1830        22   gamma               91  1510     0     0     0     0     0      0.234      0.119      1.071      1.103      0.000
  1831        22   gamma               91  1510     0     0     0     0     0      0.440      0.108      2.559      2.598      0.000
  1832     -2212   pbar-               91  1517     0     0     0     0     0     -0.085     -0.556      9.023      9.089      0.938
  1833       211   pi+                 91  1517     0     0     0     0     0     -0.104     -0.205      2.048      2.065      0.140
  1834        22   gamma               91  1520     0     0     0     0     0      0.005      0.063      0.346      0.352      0.000
  1835        22   gamma               91  1520     0     0     0     0     0      0.199      0.134      0.665      0.707      0.000
  1836        22   gamma               91  1522     0     0     0     0     0      0.708      0.104    126.542    126.544      0.000
  1837        22   gamma               91  1522     0     0     0     0     0      0.177      0.087     41.700     41.700      0.000
  1838        22   gamma               91  1524     0     0     0     0     0     -0.006      0.016      0.895      0.895      0.000
  1839        22   gamma               91  1524     0     0     0     0     0     -0.120      0.078     70.272     70.272      0.000
  1840        22   gamma               91  1530     0     0     0     0     0      0.181     -0.024      0.960      0.977      0.000
  1841        22   gamma               91  1530     0     0     0     0     0      0.062      0.079      0.466      0.477      0.000
  1842       211   pi+                 91  1535     0     0     0     0     0      0.257      1.408      2.432      2.826      0.140
  1843      -211   pi-                 91  1535     0     0     0     0     0      0.322      0.839      2.160      2.344      0.140
  1844       211   pi+                 91  1537     0     0     0     0     0      0.047     -0.125      0.138      0.238      0.140
  1845      -211   pi-                 91  1537     0     0     0     0     0      0.284     -0.168     -0.251      0.438      0.140
  1846       111   (pi0)              -91  1538     0  1934  1935     0     0     -0.367      0.056    325.610    325.610      0.135
  1847       111   (pi0)              -91  1538     0  1936  1937     0     0     -0.181      0.262    124.154    124.155      0.135
  1848       111   (pi0)              -91  1539     0  1938  1939     0     0     -0.182     -0.378     12.524     12.531      0.135
  1849       111   (pi0)              -91  1539     0  1940  1941     0     0      0.182     -0.095      7.344      7.348      0.135
  1850       321   K+                  91  1543     0     0     0     0     0      0.158      0.549      2.013      2.150      0.494
  1851      -211   pi-                 91  1543     0     0     0     0     0     -0.539     -0.200      1.175      1.316      0.140
  1852       111   (pi0)              -91  1543     0  1942  1943     0     0     -0.687     -0.287      2.632      2.738      0.135
  1853        22   gamma               91  1557     0     0     0     0     0      0.028     -0.021     -0.038      0.052      0.000
  1854        22   gamma               91  1557     0     0     0     0     0     -0.009      0.130     -0.368      0.390      0.000
  1855        22   gamma               91  1560     0     0     0     0     0      0.195      0.053      0.068      0.213      0.000
  1856        22   gamma               91  1560     0     0     0     0     0      0.024     -0.028      0.071      0.080      0.000
  1857        22   gamma               91  1569     0     0     0     0     0     -0.370      1.249     -3.709      3.931      0.000
  1858        22   gamma               91  1569     0     0     0     0     0     -0.066      0.094     -0.374      0.391      0.000
  1859        22   gamma               91  1570     0     0     0     0     0      0.295      0.064    -13.951     13.954      0.000
  1860        22   gamma               91  1570     0     0     0     0     0      0.224     -0.050    -14.000     14.002      0.000
  1861        22   gamma               91  1578     0     0     0     0     0     -0.020     -0.015      0.007      0.026      0.000
  1862        22   gamma               91  1578     0     0     0     0     0     -0.003      0.020      0.460      0.460      0.000
  1863        22   gamma               91  1581     0     0     0     0     0     -0.305      0.153      0.444      0.560      0.000
  1864        22   gamma               91  1581     0     0     0     0     0     -0.206     -0.008      0.232      0.310      0.000
  1865        22   gamma               91  1582     0     0     0     0     0     -0.563     -0.081      0.698      0.900      0.000
  1866        22   gamma               91  1582     0     0     0     0     0     -0.038     -0.042      0.044      0.071      0.000
  1867        22   gamma               91  1583     0     0     0     0     0      0.000     -0.021      0.025      0.033      0.000
  1868        22   gamma               91  1583     0     0     0     0     0     -0.507     -0.083      0.630      0.813      0.000
  1869        22   gamma               91  1592     0     0     0     0     0     -0.030      0.024      0.063      0.074      0.000
  1870        22   gamma               91  1592     0     0     0     0     0     -0.062     -0.161      0.399      0.435      0.000
  1871        22   gamma               91  1599     0     0     0     0     0     -0.401      0.913     -0.704      1.221      0.000
  1872        22   gamma               91  1599     0     0     0     0     0     -0.120      0.262     -0.121      0.313      0.000
  1873        22   gamma               91  1606     0     0     0     0     0     -0.208     -0.092      2.929      2.938      0.000
  1874        22   gamma               91  1606     0     0     0     0     0     -0.198      0.045      2.508      2.517      0.000
  1875        22   gamma               91  1609     0     0     0     0     0      0.003      0.083     -0.113      0.141      0.000
  1876        22   gamma               91  1609     0     0     0     0     0      0.062     -0.017     -0.012      0.066      0.000
  1877        22   gamma               91  1614     0     0     0     0     0     -0.010      0.019      0.179      0.180      0.000
  1878        22   gamma               91  1614     0     0     0     0     0      0.336      0.391      2.330      2.386      0.000
  1879        22   gamma               91  1621     0     0     0     0     0     -0.070     -0.068     -0.119      0.153      0.000
  1880        22   gamma               91  1621     0     0     0     0     0      0.049     -0.099     -0.054      0.123      0.000
  1881        22   gamma               91  1622     0     0     0     0     0     -0.026     -0.030     -0.461      0.463      0.000
  1882        22   gamma               91  1622     0     0     0     0     0     -0.137      0.078     -0.602      0.623      0.000
  1883        22   gamma               91  1642     0     0     0     0     0     -0.029     -0.157    -29.468     29.469      0.000
  1884        22   gamma               91  1642     0     0     0     0     0     -0.164     -0.437    -54.388     54.390      0.000
  1885        22   gamma               91  1645     0     0     0     0     0     -0.021     -0.016     -4.163      4.163      0.000
  1886        22   gamma               91  1645     0     0     0     0     0     -0.145      0.267    -48.542     48.543      0.000
  1887        22   gamma               91  1654     0     0     0     0     0     -0.175      0.136    -25.935     25.936      0.000
  1888        22   gamma               91  1654     0     0     0     0     0     -1.229      0.908   -225.316    225.321      0.000
  1889      -321   K-                  91  1655     0     0     0     0     0      0.128     -1.041      1.065      1.574      0.494
  1890       211   pi+                 91  1655     0     0     0     0     0      2.953     -7.017      7.293     10.544      0.140
  1891       111   (pi0)              -91  1655     0  1944  1945     0     0      0.465     -1.639      1.906      2.560      0.135
  1892        22   gamma               91  1656     0     0     0     0     0      0.105     -0.380      0.310      0.501      0.000
  1893        22   gamma               91  1656     0     0     0     0     0      0.067     -0.141      0.245      0.290      0.000
  1894        22   gamma               91  1661     0     0     0     0     0     -0.046      0.062      0.081      0.112      0.000
  1895        22   gamma               91  1661     0     0     0     0     0      0.065      0.032     -0.001      0.072      0.000
  1896        22   gamma               91  1664     0     0     0     0     0     -0.052     -0.030     -0.279      0.285      0.000
  1897        22   gamma               91  1664     0     0     0     0     0     -0.055      0.006     -1.800      1.801      0.000
  1898        22   gamma               91  1665     0     0     0     0     0      0.026      0.036     -0.195      0.200      0.000
  1899        22   gamma               91  1665     0     0     0     0     0     -0.143      0.049     -1.008      1.019      0.000
  1900        22   gamma               91  1666     0     0     0     0     0      0.054      0.004     -0.250      0.256      0.000
  1901        22   gamma               91  1666     0     0     0     0     0     -0.005      0.163     -1.121      1.133      0.000
  1902        22   gamma               91  1672     0     0     0     0     0      0.050      0.117    -25.138     25.139      0.000
  1903        22   gamma               91  1672     0     0     0     0     0     -0.089      0.243    -55.552     55.552      0.000
  1904        22   gamma               91  1680     0     0     0     0     0      0.501     -0.195   -107.325    107.326      0.000
  1905        22   gamma               91  1680     0     0     0     0     0      0.519     -0.125    -86.129     86.130      0.000
  1906        22   gamma               91  1691     0     0     0     0     0      0.016     -0.064      0.664      0.667      0.000
  1907        22   gamma               91  1691     0     0     0     0     0     -0.041      0.044      0.245      0.253      0.000
  1908        22   gamma               91  1694     0     0     0     0     0      0.350      0.030      0.921      0.986      0.000
  1909        22   gamma               91  1694     0     0     0     0     0      0.163     -0.080      0.470      0.503      0.000
  1910        22   gamma               91  1695     0     0     0     0     0      0.012     -0.017      0.063      0.067      0.000
  1911        22   gamma               91  1695     0     0     0     0     0      1.497     -0.360      3.755      4.058      0.000
  1912        22   gamma               91  1696     0     0     0     0     0      1.447     -0.170      3.932      4.194      0.000
  1913        22   gamma               91  1696     0     0     0     0     0      0.112      0.017      0.248      0.273      0.000
  1914        22   gamma               91  1701     0     0     0     0     0      0.010     -0.038      0.095      0.103      0.000
  1915        22   gamma               91  1701     0     0     0     0     0      0.410     -0.129      0.691      0.814      0.000
  1916        22   gamma               91  1710     0     0     0     0     0     -0.033     -0.180      3.017      3.023      0.000
  1917        22   gamma               91  1710     0     0     0     0     0     -0.187     -0.176      4.049      4.057      0.000
  1918        22   gamma               91  1713     0     0     0     0     0      0.044      0.082      9.476      9.477      0.000
  1919        22   gamma               91  1713     0     0     0     0     0     -0.025     -0.038      2.631      2.631      0.000
  1920        22   gamma               91  1720     0     0     0     0     0      0.044      0.051     10.311     10.311      0.000
  1921        22   gamma               91  1720     0     0     0     0     0      0.004      0.126     64.828     64.829      0.000
  1922        22   gamma               91  1721     0     0     0     0     0      0.014      0.071     17.463     17.463      0.000
  1923        22   gamma               91  1721     0     0     0     0     0     -0.018      0.082      4.372      4.373      0.000
  1924        22   gamma               91  1722     0     0     0     0     0     -0.037      0.096     18.032     18.032      0.000
  1925        22   gamma               91  1722     0     0     0     0     0      0.108      0.232     58.463     58.463      0.000
  1926        22   gamma               91  1727     0     0     0     0     0     -0.102      0.128      2.523      2.528      0.000
  1927        22   gamma               91  1727     0     0     0     0     0      0.014      0.019      0.071      0.075      0.000
  1928        22   gamma               91  1767     0     0     0     0     0      0.009     -0.020      0.000      0.022      0.000
  1929        22   gamma               91  1767     0     0     0     0     0     -0.054     -0.532      0.717      0.895      0.000
  1930        22   gamma               91  1822     0     0     0     0     0     -0.226     -0.035     -4.339      4.345      0.000
  1931        22   gamma               91  1822     0     0     0     0     0      0.003     -0.013     -0.045      0.046      0.000
  1932        22   gamma               91  1823     0     0     0     0     0     -0.264     -0.193    -10.942     10.946      0.000
  1933        22   gamma               91  1823     0     0     0     0     0     -0.666     -0.257    -21.768     21.780      0.000
  1934        22   gamma               91  1846     0     0     0     0     0     -0.280      0.082    207.821    207.821      0.000
  1935        22   gamma               91  1846     0     0     0     0     0     -0.087     -0.026    117.789    117.789      0.000
  1936        22   gamma               91  1847     0     0     0     0     0     -0.027      0.032      5.517      5.517      0.000
  1937        22   gamma               91  1847     0     0     0     0     0     -0.154      0.230    118.637    118.638      0.000
  1938        22   gamma               91  1848     0     0     0     0     0     -0.009     -0.167      4.424      4.427      0.000
  1939        22   gamma               91  1848     0     0     0     0     0     -0.173     -0.211      8.100      8.104      0.000
  1940        22   gamma               91  1849     0     0     0     0     0     -0.006      0.023      0.533      0.533      0.000
  1941        22   gamma               91  1849     0     0     0     0     0      0.188     -0.117      6.811      6.815      0.000
  1942        22   gamma               91  1852     0     0     0     0     0     -0.273     -0.051      1.076      1.111      0.000
  1943        22   gamma               91  1852     0     0     0     0     0     -0.414     -0.236      1.556      1.627      0.000
  1944        22   gamma               91  1891     0     0     0     0     0      0.309     -1.162      1.255      1.738      0.000
  1945        22   gamma               91  1891     0     0     0     0     0      0.156     -0.477      0.651      0.822      0.000
                                   Charge sum:  2.000           Momentum sum:      0.000      0.000     -0.000  14000.000  14000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Warning in Pythia::check: energy-momentum not quite conserved  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | q qbar -> Theta                                621 |        5737       1000       1000 |   6.503e-08  1.378e-09 |
 |                                                    |                                   |                        |
 | sum                                                |        5737       1000       1000 |   6.503e-08  1.378e-09 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      3   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      3   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      1   Warning in Pythia::check: energy-momentum not quite conserved                                          | 
 |      8   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      2   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:07       Theta mass

        2.08*10^ 2                                            1                                                         
        2.00*10^ 2                                            X                                                         
        1.92*10^ 2                                            X                                                         
        1.84*10^ 2                                            X                                                         
        1.76*10^ 2                                           8X                                                         
        1.68*10^ 2                                           XX                                                         
        1.60*10^ 2                                           XX                                                         
        1.52*10^ 2                                           XX                                                         
        1.44*10^ 2                                           XX                                                         
        1.36*10^ 2                                           XX                                                         
        1.28*10^ 2                                           XX                                                         
        1.20*10^ 2                                           XX                                                         
        1.12*10^ 2                                          6XX                                                         
        1.04*10^ 2                                          XXX                                                         
        0.96*10^ 2                                          XXX4                                                        
        0.88*10^ 2                                          XXXX                                                        
        0.80*10^ 2                                          XXXX                                                        
        0.72*10^ 2                                          XXXX                                                        
        0.64*10^ 2                                         9XXXX4                                                       
        0.56*10^ 2                                         XXXXXX                                                       
        0.48*10^ 2                                         XXXXXX5                                                      
        0.40*10^ 2                                        1XXXXXXX                                                      
        0.32*10^ 2                                        XXXXXXXX1                                                     
        0.24*10^ 2                                     214XXXXXXXXX4                                                    
        0.16*10^ 2                                   12XXXXXXXXXXXXX24                                                  
        0.08*10^ 2  11     13 1 3    14  313  1 43635XXXXXXXXXXXXXXXXX88656313 44 13 3     41     11      3 11     3    

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000112000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000000111136070954211100000000000000000000000000000000000000000000000000
            *10^ 0  1100000120102000013002120010325249087933941194590166545212033012020000031000001100000020110000020000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  3333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789

   Entries  =        1000    Mean =  3.4231e+02    Underflow =  0.0000e+00    Low edge  =  3.0000e+02
   All chan =  1.0000e+03    Rms  =  7.2008e+00    Overflow  =  0.0000e+00    High edge =  4.0000e+02
pythia8-8.1.86.orig/examples/outref/out190000644000175000017500000075734312357054720016415 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:05:55    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:05:55    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:05:55    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:05:56    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   1.252e-01 |
 | g g -> q qbar (uds)                            112 |   1.483e-03 |
 | q g -> q g                                     113 |   1.005e-01 |
 | q q(bar)' -> q q(bar)'                         114 |   1.148e-02 |
 | q qbar -> g g                                  115 |   8.118e-05 |
 | q qbar -> q' qbar' (uds)                       116 |   3.858e-05 |
 | g g -> c cbar                                  121 |   4.935e-04 |
 | q qbar -> c cbar                               122 |   1.285e-05 |
 | g g -> b bbar                                  123 |   4.851e-04 |
 | q qbar -> b bbar                               124 |   1.273e-05 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  271.14 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | HardQCD:all                                   |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                 50.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | non-diffractive                                101 |   5.754e+01 |
 | A B -> A B elastic                             102 |   2.221e+01 |
 | A B -> X B single diffractive                  103 |   6.442e+00 |
 | A B -> A X single diffractive                  104 |   6.442e+00 |
 | A B -> X X double diffractive                  105 |   8.881e+00 |
 | A B -> A X B central diffractive               106 |   0.000e+00 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  267.82 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 
 PYTHIA Warning in MultipartonInteractions::init: maximum increased by factor 1.095

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction XB                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =   11.43 mb: accepted     | 
 |    diffractive mass = 6.117e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =   13.47 mb: accepted     | 
 |    diffractive mass = 3.742e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.55 gives sigmaInteraction =   15.31 mb: accepted     | 
 |    diffractive mass = 2.289e+03 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.18 gives sigmaInteraction =   25.39 mb: accepted     | 
 |    diffractive mass = 1.400e+04 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  3.08 gives sigmaInteraction =   47.27 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AX                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =   11.56 mb: accepted     | 
 |    diffractive mass = 6.117e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =   13.53 mb: accepted     | 
 |    diffractive mass = 3.742e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.55 gives sigmaInteraction =   15.41 mb: accepted     | 
 |    diffractive mass = 2.289e+03 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.18 gives sigmaInteraction =   25.33 mb: accepted     | 
 |    diffractive mass = 1.400e+04 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  3.08 gives sigmaInteraction =   48.07 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AXB                         | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =    2.37 mb: rejected     | 
 |    pT0 =  0.70 gives sigmaInteraction =    3.60 mb: rejected     | 
 |    pT0 =  0.63 gives sigmaInteraction =    5.51 mb: rejected     | 
 |    pT0 =  0.57 gives sigmaInteraction =    8.50 mb: rejected     | 
 |    pT0 =  0.51 gives sigmaInteraction =   13.21 mb: accepted     | 
 |    diffractive mass = 6.117e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =    1.61 mb: rejected     | 
 |    pT0 =  0.99 gives sigmaInteraction =    2.18 mb: rejected     | 
 |    pT0 =  0.89 gives sigmaInteraction =    2.94 mb: rejected     | 
 |    pT0 =  0.80 gives sigmaInteraction =    4.00 mb: rejected     | 
 |    pT0 =  0.72 gives sigmaInteraction =    5.58 mb: rejected     | 
 |    pT0 =  0.65 gives sigmaInteraction =    7.89 mb: rejected     | 
 |    pT0 =  0.58 gives sigmaInteraction =   11.34 mb: accepted     | 
 |    diffractive mass = 3.742e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.55 gives sigmaInteraction =    2.29 mb: rejected     | 
 |    pT0 =  1.39 gives sigmaInteraction =    2.78 mb: rejected     | 
 |    pT0 =  1.25 gives sigmaInteraction =    3.36 mb: rejected     | 
 |    pT0 =  1.13 gives sigmaInteraction =    4.02 mb: rejected     | 
 |    pT0 =  1.01 gives sigmaInteraction =    4.86 mb: rejected     | 
 |    pT0 =  0.91 gives sigmaInteraction =    5.89 mb: rejected     | 
 |    pT0 =  0.82 gives sigmaInteraction =    7.20 mb: rejected     | 
 |    pT0 =  0.74 gives sigmaInteraction =    8.90 mb: rejected     | 
 |    pT0 =  0.67 gives sigmaInteraction =   11.27 mb: accepted     | 
 |    diffractive mass = 2.289e+03 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.18 gives sigmaInteraction =    4.17 mb: rejected     | 
 |    pT0 =  1.96 gives sigmaInteraction =    5.00 mb: rejected     | 
 |    pT0 =  1.77 gives sigmaInteraction =    5.87 mb: rejected     | 
 |    pT0 =  1.59 gives sigmaInteraction =    6.85 mb: rejected     | 
 |    pT0 =  1.43 gives sigmaInteraction =    8.06 mb: rejected     | 
 |    pT0 =  1.29 gives sigmaInteraction =    9.21 mb: rejected     | 
 |    pT0 =  1.16 gives sigmaInteraction =   10.52 mb: rejected     | 
 |    pT0 =  1.04 gives sigmaInteraction =   12.04 mb: accepted     | 
 |    diffractive mass = 1.400e+04 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  3.08 gives sigmaInteraction =    6.61 mb: rejected     | 
 |    pT0 =  2.77 gives sigmaInteraction =    7.85 mb: rejected     | 
 |    pT0 =  2.49 gives sigmaInteraction =    9.42 mb: rejected     | 
 |    pT0 =  2.24 gives sigmaInteraction =   10.92 mb: rejected     | 
 |    pT0 =  2.02 gives sigmaInteraction =   12.76 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | Random:seed                                   |                 10000002 |           -1               900000000 | 
 | Random:setSeed                                |                       on |          off                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SoftQCD:all                                   |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.146e+02 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | non-diffractive                                101 |   2.668e+01 |
 | A B -> A B elastic                             102 |   8.457e+00 |
 | A B -> X B single diffractive                  103 |   4.352e+00 |
 | A B -> A X single diffractive                  104 |   4.352e+00 |
 | A B -> X X double diffractive                  105 |   3.613e+00 |
 | A B -> A X B central diffractive               106 |   0.000e+00 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   26.68 mb               | 
 |                                                                  | 
 |    pT0 =  1.24 gives sigmaInteraction =   79.09 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction XB                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =   11.56 mb: accepted     | 
 |    diffractive mass = 1.840e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.87 gives sigmaInteraction =   13.04 mb: accepted     | 
 |    diffractive mass = 3.386e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.98 gives sigmaInteraction =   13.53 mb: accepted     | 
 |    diffractive mass = 6.229e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =   13.54 mb: accepted     | 
 |    diffractive mass = 1.146e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.24 gives sigmaInteraction =   13.62 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 
 PYTHIA Warning in MultipartonInteractions::init: maximum increased by factor 5.066

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AX                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =   11.52 mb: accepted     | 
 |    diffractive mass = 1.840e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.87 gives sigmaInteraction =   12.93 mb: accepted     | 
 |    diffractive mass = 3.386e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.98 gives sigmaInteraction =   13.56 mb: accepted     | 
 |    diffractive mass = 6.229e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =   13.46 mb: accepted     | 
 |    diffractive mass = 1.146e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.24 gives sigmaInteraction =   13.54 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AXB                         | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =    2.36 mb: rejected     | 
 |    pT0 =  0.70 gives sigmaInteraction =    3.59 mb: rejected     | 
 |    pT0 =  0.63 gives sigmaInteraction =    5.46 mb: rejected     | 
 |    pT0 =  0.57 gives sigmaInteraction =    8.44 mb: rejected     | 
 |    pT0 =  0.51 gives sigmaInteraction =   13.34 mb: accepted     | 
 |    diffractive mass = 1.840e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.87 gives sigmaInteraction =    2.01 mb: rejected     | 
 |    pT0 =  0.79 gives sigmaInteraction =    2.95 mb: rejected     | 
 |    pT0 =  0.71 gives sigmaInteraction =    4.36 mb: rejected     | 
 |    pT0 =  0.64 gives sigmaInteraction =    6.55 mb: rejected     | 
 |    pT0 =  0.57 gives sigmaInteraction =    9.84 mb: rejected     | 
 |    pT0 =  0.52 gives sigmaInteraction =   15.08 mb: accepted     | 
 |    diffractive mass = 3.386e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.98 gives sigmaInteraction =    1.73 mb: rejected     | 
 |    pT0 =  0.88 gives sigmaInteraction =    2.45 mb: rejected     | 
 |    pT0 =  0.79 gives sigmaInteraction =    3.49 mb: rejected     | 
 |    pT0 =  0.71 gives sigmaInteraction =    4.93 mb: rejected     | 
 |    pT0 =  0.64 gives sigmaInteraction =    7.26 mb: rejected     | 
 |    pT0 =  0.58 gives sigmaInteraction =   10.62 mb: rejected     | 
 |    pT0 =  0.52 gives sigmaInteraction =   16.02 mb: accepted     | 
 |    diffractive mass = 6.229e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =    1.61 mb: rejected     | 
 |    pT0 =  0.99 gives sigmaInteraction =    2.16 mb: rejected     | 
 |    pT0 =  0.89 gives sigmaInteraction =    2.91 mb: rejected     | 
 |    pT0 =  0.80 gives sigmaInteraction =    3.97 mb: rejected     | 
 |    pT0 =  0.72 gives sigmaInteraction =    5.54 mb: rejected     | 
 |    pT0 =  0.65 gives sigmaInteraction =    7.89 mb: rejected     | 
 |    pT0 =  0.58 gives sigmaInteraction =   11.16 mb: accepted     | 
 |    diffractive mass = 1.146e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.24 gives sigmaInteraction =    1.67 mb: rejected     | 
 |    pT0 =  1.11 gives sigmaInteraction =    2.14 mb: rejected     | 
 |    pT0 =  1.00 gives sigmaInteraction =    2.76 mb: rejected     | 
 |    pT0 =  0.90 gives sigmaInteraction =    3.59 mb: rejected     | 
 |    pT0 =  0.81 gives sigmaInteraction =    4.71 mb: rejected     | 
 |    pT0 =  0.73 gives sigmaInteraction =    6.23 mb: rejected     | 
 |    pT0 =  0.66 gives sigmaInteraction =    8.57 mb: rejected     | 
 |    pT0 =  0.59 gives sigmaInteraction =   11.90 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eB                                      |                      0.0 |     7000.000         0.0             | 
 | Beams:frameType                               |                        2 |            1           1           5 | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | Random:seed                                   |                 10000003 |           -1               900000000 | 
 | Random:setSeed                                |                       on |          off                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SoftQCD:all                                   |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.146e+02 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | non-diffractive                                101 |   2.668e+01 |
 | A B -> A B elastic                             102 |   8.457e+00 |
 | A B -> X B single diffractive                  103 |   4.352e+00 |
 | A B -> A X single diffractive                  104 |   4.352e+00 |
 | A B -> X X double diffractive                  105 |   3.613e+00 |
 | A B -> A X B central diffractive               106 |   0.000e+00 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   26.68 mb               | 
 |                                                                  | 
 |    pT0 =  1.24 gives sigmaInteraction =   79.01 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction XB                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =   11.52 mb: accepted     | 
 |    diffractive mass = 1.840e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.87 gives sigmaInteraction =   12.97 mb: accepted     | 
 |    diffractive mass = 3.386e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.98 gives sigmaInteraction =   13.56 mb: accepted     | 
 |    diffractive mass = 6.229e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =   13.52 mb: accepted     | 
 |    diffractive mass = 1.146e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.24 gives sigmaInteraction =   13.56 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 
 PYTHIA Warning in MultipartonInteractions::init: maximum increased by factor 4.950

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AX                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =   11.58 mb: accepted     | 
 |    diffractive mass = 1.840e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.87 gives sigmaInteraction =   12.93 mb: accepted     | 
 |    diffractive mass = 3.386e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.98 gives sigmaInteraction =   13.53 mb: accepted     | 
 |    diffractive mass = 6.229e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =   13.52 mb: accepted     | 
 |    diffractive mass = 1.146e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.24 gives sigmaInteraction =   13.54 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AXB                         | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.78 gives sigmaInteraction =    2.36 mb: rejected     | 
 |    pT0 =  0.70 gives sigmaInteraction =    3.58 mb: rejected     | 
 |    pT0 =  0.63 gives sigmaInteraction =    5.49 mb: rejected     | 
 |    pT0 =  0.57 gives sigmaInteraction =    8.48 mb: rejected     | 
 |    pT0 =  0.51 gives sigmaInteraction =   13.29 mb: accepted     | 
 |    diffractive mass = 1.840e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.87 gives sigmaInteraction =    2.01 mb: rejected     | 
 |    pT0 =  0.79 gives sigmaInteraction =    2.96 mb: rejected     | 
 |    pT0 =  0.71 gives sigmaInteraction =    4.37 mb: rejected     | 
 |    pT0 =  0.64 gives sigmaInteraction =    6.51 mb: rejected     | 
 |    pT0 =  0.57 gives sigmaInteraction =    9.77 mb: rejected     | 
 |    pT0 =  0.52 gives sigmaInteraction =   15.23 mb: accepted     | 
 |    diffractive mass = 3.386e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.98 gives sigmaInteraction =    1.74 mb: rejected     | 
 |    pT0 =  0.88 gives sigmaInteraction =    2.44 mb: rejected     | 
 |    pT0 =  0.79 gives sigmaInteraction =    3.46 mb: rejected     | 
 |    pT0 =  0.71 gives sigmaInteraction =    4.97 mb: rejected     | 
 |    pT0 =  0.64 gives sigmaInteraction =    7.28 mb: rejected     | 
 |    pT0 =  0.58 gives sigmaInteraction =   10.72 mb: rejected     | 
 |    pT0 =  0.52 gives sigmaInteraction =   16.10 mb: accepted     | 
 |    diffractive mass = 6.229e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.10 gives sigmaInteraction =    1.61 mb: rejected     | 
 |    pT0 =  0.99 gives sigmaInteraction =    2.16 mb: rejected     | 
 |    pT0 =  0.89 gives sigmaInteraction =    2.95 mb: rejected     | 
 |    pT0 =  0.80 gives sigmaInteraction =    4.01 mb: rejected     | 
 |    pT0 =  0.72 gives sigmaInteraction =    5.51 mb: rejected     | 
 |    pT0 =  0.65 gives sigmaInteraction =    7.85 mb: rejected     | 
 |    pT0 =  0.58 gives sigmaInteraction =   11.23 mb: accepted     | 
 |    diffractive mass = 1.146e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.24 gives sigmaInteraction =    1.67 mb: rejected     | 
 |    pT0 =  1.11 gives sigmaInteraction =    2.14 mb: rejected     | 
 |    pT0 =  1.00 gives sigmaInteraction =    2.78 mb: rejected     | 
 |    pT0 =  0.90 gives sigmaInteraction =    3.61 mb: rejected     | 
 |    pT0 =  0.81 gives sigmaInteraction =    4.68 mb: rejected     | 
 |    pT0 =  0.73 gives sigmaInteraction =    6.29 mb: rejected     | 
 |    pT0 =  0.66 gives sigmaInteraction =    8.62 mb: rejected     | 
 |    pT0 =  0.59 gives sigmaInteraction =   11.97 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eA                                      |                      0.0 |     7000.000         0.0             | 
 | Beams:frameType                               |                        2 |            1           1           5 | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | Random:seed                                   |                 10000004 |           -1               900000000 | 
 | Random:setSeed                                |                       on |          off                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SoftQCD:all                                   |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  6.463e-02, pdf =  1.528e+00 at Q2 =  2.733e+03.
 In 2: id =   21, x =  9.072e-04, pdf =  3.619e+01 at same Q2.

 Subprocess g g -> g g with code 111 is 2 -> 2.
 It has sHat =  1.149e+04,    tHat = -7.014e+03,    uHat = -4.478e+03,
       pTHat =  5.228e+01,   m3Hat =  0.000e+00,   m4Hat =  0.000e+00,
    thetaHat =  1.793e+00,  phiHat =  2.945e+00.
     alphaEM =  7.769e-03,  alphaS =  1.486e-01    at Q2 =  2.733e+03.

 Impact parameter b =  8.013e-01 gives enhancement factor =  1.239e+00.
 Max pT scale for MPI =  5.228e+01, ISR =  5.228e+01, FSR =  5.228e+01.
 Number of MPI =     4, ISR =    12, FSRproc =    75, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     1     0     5     6   101   102      0.000      0.000    452.424    452.424      0.000
     4        21   (g)                -21     2     0     5     6   103   104      0.000      0.000     -6.351      6.351      0.000
     5        21   g                   23     3     4     0     0   101   104    -51.277     10.190    172.418    180.170      0.000
     6        21   g                   23     3     4     0     0   103   102     51.277    -10.190    273.656    278.605      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000    446.074    458.775    107.203

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (combination of several events)  ------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000  -7000.000  21000.938  19799.985
     1      2212   (p+)               -12     0     0   412     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0   413     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     7     0     5     6   101   102      0.000      0.000    452.424    452.424      0.000
     4        21   (g)                -21     8     8     5     6   103   104      0.000      0.000     -6.351      6.351      0.000
     5        21   (g)                -23     3     4     9     9   101   104    -51.277     10.190    172.418    180.170      0.000
     6        21   (g)                -23     3     4    10    10   103   102     51.277    -10.190    273.656    278.605      0.000
     7        21   (g)                -41    12     0    11     3   105   102      0.000      0.000    608.185    608.185      0.000
     8        21   (g)                -42    13    13     4     4   103   104      0.000      0.000     -6.351      6.351      0.000
     9        21   (g)                -44     5     5    14    14   101   104    -45.413     11.498    211.603    216.727      0.000
    10        21   (g)                -44     6     6    15    15   103   102     60.463     -8.141    332.674    338.222      0.000
    11        21   (g)                -43     7     0    16    16   105   101    -15.050     -3.357     57.558     59.587      0.000
    12        21   (g)                -41    18    18    17     7   105   106     -0.000      0.000   1201.550   1201.550      0.000
    13        21   (g)                -42    19     0     8     8   103   104      0.000     -0.000     -6.351      6.351      0.000
    14        21   (g)                -44     9     9    20    20   101   104    -45.845      4.952    222.042    226.779      0.000
    15        21   (g)                -44    10    10    21    21   103   102     59.787    -18.394    348.712    354.278      0.000
    16        21   (g)                -44    11    11    22    22   105   101    -15.168     -5.148     60.329     62.419      0.000
    17        21   (g)                -43    12     0    23    23   102   106      1.225     18.590    564.117    564.424      0.000
    18        21   (g)                -42    28    28    12    12   105   106     -0.000      0.000   1201.550   1201.550      0.000
    19        21   (g)                -41    27    27    24    13   103   107      0.000     -0.000     -6.953      6.953      0.000
    20        21   (g)                -44    14    14    30    30   101   104    -44.144      2.549    193.779    198.760      0.000
    21        21   (g)                -44    15    15    25    26   103   102     61.785    -21.218    361.693    367.545      0.000
    22        21   (g)                -44    16    16    32    32   105   101    -14.417     -6.208     54.964     57.162      0.000
    23        21   (g)                -44    17    17    33    33   102   106      1.335     18.434    528.031    528.354      0.000
    24        21   (g)                -43    19     0    34    34   104   107     -4.559      6.442     56.131     56.683      0.000
    25        21   (g)                -51    21     0    31    31   108   102     29.572    -17.531    156.904    160.626      0.000
    26        21   (g)                -51    21     0    35    35   103   108     32.213     -3.686    204.577    207.131      0.000
    27        21   (g)                -53    29     0    19    19   103   107      0.000     -0.000     -7.165      7.165      0.000
    28        21   (g)                -42    37     0    18    18   105   106     -0.000     -0.000   1201.550   1201.550      0.000
    29        21   (g)                -41    38    38    36    27   109   107      0.000      0.000    -13.219     13.219      0.000
    30        21   (g)                -44    20    20    39    39   101   104    -44.154      1.093    193.115    198.101      0.000
    31        21   (g)                -44    25    25    40    40   108   102     29.565    -18.620    161.945    165.671      0.000
    32        21   (g)                -44    22    22    41    41   105   101    -14.422     -6.850     56.837     59.037      0.000
    33        21   (g)                -44    23    23    42    42   102   106      1.335     18.339    522.070    522.393      0.000
    34        21   (g)                -44    24    24    43    43   104   107     -4.560      6.281     54.219     54.771      0.000
    35        21   (g)                -44    26    26    44    44   103   108     32.208     -4.433    205.467    208.023      0.000
    36        21   (g)                -43    29     0    45    45   109   103      0.029      4.190     -5.321      6.773      0.000
    37         1   (d)                -41   127   127    46    28   105     0      0.000      0.000   1435.822   1435.822      0.000
    38        21   (g)                -42    60    60    29    29   109   107     -0.000     -0.000    -13.219     13.219      0.000
    39        21   (g)                -44    30    30    51    52   101   104    -44.305      0.512    193.362    198.374      0.000
    40        21   (g)                -44    31    31    69    69   108   102     29.438    -19.106    162.149    165.903      0.000
    41        21   (g)                -44    32    32    89    90   105   101    -14.467     -7.022     56.899     59.128      0.000
    42        21   (g)                -44    33    33    67    68   102   106      0.932     16.788    522.790    523.061      0.000
    43        21   (g)                -44    34    34    53    53   104   107     -4.602      6.119     54.299     54.836      0.000
    44        21   (g)                -44    35    35    82    82   103   108     32.048     -5.047    205.749    208.291      0.000
    45        21   (g)                -44    36    36    61    62   109   103      0.028      4.188     -5.306      6.759      0.000
    46         1   (d)                -43    37     0   137   137   106     0      0.928      3.568    232.659    232.689      0.330
    47        21   (g)                -31    75    75    49    50   110   111      0.000      0.000      0.066      0.066      0.000
    48        21   (g)                -31    76     0    49    50   112   113      0.000      0.000   -146.727    146.727      0.000
    49        21   (g)                -33    47    48    77    77   110   113     -2.539      1.052    -39.094     39.190      0.000
    50        21   (g)                -33    47    48    78    78   112   111      2.539     -1.052   -107.567    107.602      0.000
    51        21   (g)                -51    39     0    66    66   101   114    -39.112      0.509    163.363    167.980      0.000
    52        21   (g)                -51    39     0    64    65   114   104     -5.723      0.706     36.242     36.698      0.000
    53        21   (g)                -52    43    43    58    59   104   107     -4.073      5.415     48.056     48.532      0.000
    54         2   (u)                -31    70    70    56    57   115     0      0.000      0.000   1628.366   1628.366      0.000
    55        21   (g)                -31    71     0    56    57   116   115      0.000      0.000     -0.015      0.015      0.000
    56         2   (u)                -33    54    55    72    72   117     0      0.590      2.182   1535.817   1535.818      0.330
    57        21   (g)                -33    54    55    73    73   116   117     -0.590     -2.182     92.534     92.562      0.000
    58        21   (g)                -51    53     0   134   134   104   118     -1.115      3.721     37.304     37.505      0.000
    59        21   (g)                -51    53     0   122   123   118   107     -2.958      1.695     10.623     11.156      0.000
    60        21   (g)                -53    63    63    38    38   109   107     -0.000      0.000    -13.349     13.349      0.000
    61        21   (g)                -51    45     0    80    81   119   103      0.766      3.275     -3.433      4.806      0.000
    62        21   (g)                -51    45     0   140   140   109   119     -0.738      0.913     -8.477      8.558      0.000
    63        21   (g)                -53   124   124    60    60   109   107     -0.000      0.000    -19.954     19.954      0.000
    64        21   (g)                -51    52     0   138   138   120   104    -14.317      2.264     72.890     74.317      0.000
    65        21   (g)                -51    52     0   141   141   114   120     -9.301     -1.325     38.098     39.239      0.000
    66        21   (g)                -52    51    51    91    91   101   114    -21.216      0.276     88.617     91.122      0.000
    67        21   (g)                -51    42     0   119   120   121   106      1.831     17.563    511.142    511.447      0.000
    68        21   (g)                -51    42     0   121   121   102   121     -0.244     -1.200     15.262     15.311      0.000
    69        21   (g)                -52    40    40   106   106   108   102     28.782    -18.681    158.536    162.206      0.000
    70         2   (u)                -42    95    95    54    54   115     0      0.000     -0.000   1628.366   1628.366      0.000
    71        21   (g)                -41    96     0    74    55   116   122     -0.000      0.000     -0.261      0.261      0.000
    72         2   (u)                -44    56    56    97    97   117     0      0.510      2.269   1552.923   1552.925      0.330
    73        21   (g)                -44    57    57    98    98   116   117     -1.879     -0.762     71.204     71.233      0.000
    74        21   (g)                -43    71     0    99    99   115   122      1.369     -1.507      3.978      4.469      0.000
    75        21   (g)                -42    83     0    47    47   110   111      0.000     -0.000      0.066      0.066      0.000
    76        -2   (ubar)             -41    84    84    79    48     0   113     -0.000      0.000   -643.345    643.345      0.000
    77        21   (g)                -44    49    49    85    85   110   113     -2.873      1.407    -43.671     43.788      0.000
    78        21   (g)                -44    50    50    86    86   112   111      1.620     -0.075   -120.189    120.200      0.000
    79        -2   (ubar)             -43    76     0    87    87     0   112      1.253     -1.332   -479.419    479.423      0.330
    80        21   (g)                -51    61     0   136   136   119   123     -1.139      2.039     -2.673      3.550      0.000
    81        21   (g)                -51    61     0    94    94   123   103      2.088      1.207      0.417      2.448      0.000
    82        21   (g)                -52    44    44    92    93   103   108     31.865     -5.018    204.572    207.100      0.000
    83        21   (g)                -41   214   214    88    75   110   124      0.000      0.000      0.082      0.082      0.000
    84        -2   (ubar)             -42   238   238    76    76     0   113      0.000     -0.000   -643.345    643.345      0.000
    85        21   (g)                -44    77    77   236   237   110   113     -4.055      1.795    -77.277     77.405      0.000
    86        21   (g)                -44    78    78   166   166   112   111      1.509     -0.039    -95.870     95.882      0.000
    87        -2   (ubar)             -44    79    79   164   165     0   112      1.216     -1.320   -425.631    425.635      0.330
    88        21   (g)                -43    83     0   212   213   111   124      1.329     -0.436    -44.484     44.506      0.000
    89        21   (g)                -51    41     0   103   103   105   125    -13.084     -6.446     49.613     51.713      0.000
    90        21   (g)                -51    41     0   101   102   125   101     -5.689     -0.520     25.271     25.909      0.000
    91        21   (g)                -52    66    66   113   114   101   114    -16.910      0.220     70.632     72.629      0.000
    92        21   (g)                -51    82     0   104   105   126   108     30.540     -4.010    199.056    201.425      0.000
    93        21   (g)                -51    82     0   107   108   103   126      1.428     -0.948      5.537      5.796      0.000
    94        21   (g)                -52    81    81   109   109   123   103      1.985      1.147      0.396      2.326      0.000
    95         2   (u)                -42   248   248    70    70   115     0     -0.000      0.000   1628.366   1628.366      0.000
    96        21   (g)                -41   249     0   100    71   116   127      0.000     -0.000     -3.686      3.686      0.000
    97         2   (u)                -44    72    72   172   172   117     0      0.507      2.271   1552.967   1552.969      0.330
    98        21   (g)                -44    73    73   170   171   116   117     -1.942     -0.726     74.342     74.371      0.000
    99        21   (g)                -44    74    74   116   117   115   122      0.305     -0.899      0.672      1.163      0.000
   100        21   (g)                -43    96     0   118   118   122   127      1.130     -0.646     -3.301      3.549      0.000
   101        21   (g)                -51    90     0   115   115   128   101    -11.030     -3.085     43.953     45.420      0.000
   102        21   (g)                -51    90     0   146   146   125   128      0.124     -0.006      1.102      1.109      0.000
   103        21   (g)                -52    89    89   125   126   105   125     -7.866     -3.875     29.829     31.092      0.000
   104        21   (g)                -51    92     0   110   111   126   129     29.138     -3.401    189.592    191.848      0.000
   105        21   (g)                -51    92     0   147   147   129   108      3.420     -1.918     20.577     20.947      0.000
   106        21   (g)                -52    69    69   131   131   108   102     26.765    -17.371    147.423    150.837      0.000
   107        21   (g)                -51    93     0   112   112   130   126      2.025     -0.260      5.916      6.259      0.000
   108        21   (g)                -51    93     0   148   148   103   130      0.123     -0.272     -0.236      0.381      0.000
   109        21   (g)                -52    94    94   143   143   123   103      1.266      0.731      0.253      1.484      0.000
   110        21   (g)                -51   104     0   135   135   131   129     20.694     -1.855    139.750    141.286      0.000
   111        21   (g)                -51   104     0   149   149   126   131      8.789     -1.591     50.851     51.629      0.000
   112        21   (g)                -52   107   107   145   145   130   126      1.679     -0.216      4.907      5.191      0.000
   113        21   (g)                -51    91     0   130   130   132   114     -2.930      0.496     14.728     15.025      0.000
   114        21   (g)                -51    91     0   150   150   101   132    -17.405     -1.233     69.549     71.705      0.000
   115        21   (g)                -52   101   101   144   144   128   101     -7.606     -2.127     30.307     31.319      0.000
   116        21   (g)                -51    99     0   221   222   115   133      0.321     -0.666      0.742      1.047      0.000
   117        21   (g)                -51    99     0   223   223   133   122      0.561     -0.563     -1.755      1.926      0.000
   118        21   (g)                -52   100   100   253   253   122   127      0.553     -0.316     -1.617      1.738      0.000
   119        21   (g)                -51    67     0   133   133   134   106      2.026     12.594    345.618    345.853      0.000
   120        21   (g)                -51    67     0   151   151   121   134     -0.208      4.902    166.373    166.445      0.000
   121        21   (g)                -52    68    68   142   142   102   121     -0.230     -1.133     14.412     14.459      0.000
   122        21   (g)                -51    59     0   139   139   118   135     -2.522      0.293      8.576      8.944      0.000
   123        21   (g)                -51    59     0   152   152   135   107     -0.436      1.402      1.876      2.383      0.000
   124        21   (g)                -53   129   129    63    63   109   107     -0.000      0.000    -20.124     20.124      0.000
   125        21   (g)                -51   103     0   132   132   136   125     -6.681     -2.271     26.192     27.126      0.000
   126        21   (g)                -51   103     0   153   153   105   136     -1.185     -1.604      5.895      6.223      0.000
   127         1   (d)                -53   128     0    37    37   105     0     -0.000     -0.000   1438.079   1438.079      0.000
   128         1   (d)                -41   342   342   154   127   137     0     -0.000      0.000   1985.787   1985.787      0.000
   129        21   (g)                -42   343     0   124   124   109   107      0.000     -0.000    -20.124     20.124      0.000
   130        21   (g)                -44   113   113   315   316   132   114     -2.920      0.492     14.730     15.025      0.000
   131        21   (g)                -44   106   106   157   157   108   102     26.867    -17.408    147.417    150.853      0.000
   132        21   (g)                -44   125   125   208   208   136   125     -6.663     -2.278     26.195     27.125      0.000
   133        21   (g)                -44   119   119   158   159   134   106      2.263     12.509    345.630    345.864      0.000
   134        21   (g)                -44    58    58   169   169   104   118     -1.089      3.711     37.306     37.506      0.000
   135        21   (g)                -44   110   110   179   180   131   129     20.790     -1.889    139.748    141.298      0.000
   136        21   (g)                -44    80    80   188   189   119   123     -1.138      2.039     -2.673      3.549      0.000
   137         1   (d)                -44    46    46   160   160   106     0      1.087      3.511    232.667    232.697      0.330
   138        21   (g)                -44    64    64   167   168   120   104    -14.266      2.246     72.897     74.314      0.000
   139        21   (g)                -44   122   122   191   192   118   135     -2.516      0.291      8.577      8.943      0.000
   140        21   (g)                -44    62    62   190   190   109   119     -0.738      0.913     -8.476      8.557      0.000
   141        21   (g)                -44    65    65   306   307   114   120     -9.275     -1.334     38.102     39.237      0.000
   142        21   (g)                -44   121   121   155   156   102   121     -0.220     -1.137     14.413     14.459      0.000
   143        21   (g)                -44   109   109   357   357   123   103      1.266      0.731      0.252      1.484      0.000
   144        21   (g)                -44   115   115   323   323   128   101     -7.585     -2.135     30.311     31.318      0.000
   145        21   (g)                -44   112   112   288   289   130   126      1.683     -0.217      4.906      5.191      0.000
   146        21   (g)                -44   102   102   206   207   125   128      0.125     -0.006      1.102      1.109      0.000
   147        21   (g)                -44   105   105   215   216   129   108      3.434     -1.923     20.576     20.949      0.000
   148        21   (g)                -44   108   108   362   362   103   130      0.123     -0.272     -0.236      0.381      0.000
   149        21   (g)                -44   111   111   181   181   126   131      8.824     -1.603     50.849     51.634      0.000
   150        21   (g)                -44   114   114   321   322   101   132    -17.356     -1.251     69.558     71.701      0.000
   151        21   (g)                -44   120   120   220   220   121   134     -0.094      4.861    166.379    166.450      0.000
   152        21   (g)                -44   123   123   193   193   135   107     -0.435      1.402      1.877      2.382      0.000
   153        21   (g)                -44   126   126   163   163   105   136     -1.181     -1.606      5.896      6.223      0.000
   154        21   (g)                -43   128     0   161   162   137   105     -0.985      0.352    547.658    547.659      0.000
   155        21   (g)                -51   142     0   218   219   138   121     -0.084     -1.646      8.725      8.879      0.000
   156        21   (g)                -51   142     0   196   196   102   138      1.131     -0.312     12.643     12.698      0.000
   157        21   (g)                -52   131   131   194   195   108   102     25.599    -16.586    140.462    143.736      0.000
   158        21   (g)                -51   133     0   184   184   134   139      1.930     12.715    368.018    368.242      0.000
   159        21   (g)                -51   133     0   182   183   139   106      0.499      0.325     13.282     13.296      0.000
   160         1   (d)                -52   137   137   305   305   106     0      0.921      2.980    196.998    197.023      0.330
   161        21   (g)                -51   154     0   274   274   137   140     -0.962     -0.499    133.222    133.226      0.000
   162        21   (g)                -51   154     0   185   186   140   105     -0.037      0.830    414.513    414.514      0.000
   163        21   (g)                -52   153   153   187   187   105   136     -1.166     -1.585      5.819      6.143      0.000
   164        -2   (ubar)             -51    87     0   176   177     0   141      1.098     -0.870   -406.515    406.517      0.330
   165        21   (g)                -51    87     0   178   178   141   112      0.885     -0.470    -67.789     67.796      0.000
   166        21   (g)                -52    86    86   485   485   112   111      0.743     -0.019    -47.198     47.204      0.000
   167        21   (g)                -51   138     0   308   308   120   142     -3.063      0.713     12.377     12.770      0.000
   168        21   (g)                -51   138     0   173   174   142   104    -11.252      1.700     62.198     63.230      0.000
   169        21   (g)                -52   134   134   175   175   104   118     -1.040      3.545     35.629     35.820      0.000
   170        21   (g)                -51    98     0   251   251   116   143     -0.674     -1.132     74.040     74.051      0.000
   171        21   (g)                -51    98     0   226   226   143   117     -1.251      0.481     52.089     52.107      0.000
   172         2   (u)                -52    97    97   224   225   117     0      0.490      2.196   1501.180   1501.182      0.330
   173         1   (d)                -51   168     0   372   372   142     0     -2.570      0.219     19.131     19.307      0.330
   174        -1   (dbar)             -51   168     0   271   271     0   104     -8.750      1.709     45.361     46.230      0.330
   175        21   (g)                -52   169   169   242   243   104   118     -0.973      3.316     33.334     33.513      0.000
   176        -2   (ubar)             -51   164     0   486   486     0   144      0.326     -0.523    -48.421     48.426      0.330
   177        21   (g)                -51   164     0   489   489   144   141      1.450     -0.707   -410.038    410.041      0.000
   178        21   (g)                -52   165   165   488   488   141   112      0.207     -0.110    -15.844     15.846      0.000
   179        21   (g)                -51   135     0   217   217   145   129      8.569     -0.474     52.277     52.977      0.000
   180        21   (g)                -51   135     0   296   296   131   145     15.396     -1.992    105.762    106.895      0.000
   181        21   (g)                -52   149   149   290   290   126   131      5.650     -1.027     32.559     33.061      0.000
   182        21   (g)                -51   159     0   299   299   146   106      1.553      3.629    111.554    111.623      0.000
   183        21   (g)                -51   159     0   297   298   139   146     -0.293      1.705     46.712     46.744      0.000
   184        21   (g)                -52   158   158   287   287   134   139      1.169      7.706    223.035    223.171      0.000
   185        21   (g)                -51   162     0   272   273   140   147     -0.737      0.837    353.009    353.011      0.000
   186        21   (g)                -51   162     0   197   198   147   105      0.683     -0.029     61.588     61.592      0.000
   187        21   (g)                -52   163   163   199   199   105   136     -1.149     -1.562      5.734      6.053      0.000
   188        21   (g)                -51   136     0   350   350   148   123      0.072      0.373     -0.064      0.386      0.000
   189        21   (g)                -51   136     0   230   231   119   148     -1.361      1.852     -4.335      4.906      0.000
   190        21   (g)                -52   140   140   232   232   109   119     -0.588      0.727     -6.750      6.815      0.000
   191        21   (g)                -51   139     0   203   204   118   149     -0.769      0.858      4.451      4.598      0.000
   192        21   (g)                -51   139     0   205   205   149   135     -1.871     -0.166      4.663      5.027      0.000
   193        21   (g)                -52   152   152   293   293   135   107     -0.310      1.000      1.340      1.700      0.000
   194        21   (g)                -51   157     0   341   341   108   150      6.679     -4.027     39.292     40.059      0.000
   195        21   (g)                -51   157     0   200   201   150   102     19.019    -12.586    102.271    104.783      0.000
   196        21   (g)                -52   156   156   202   202   102   138      1.032     -0.285     11.542     11.591      0.000
   197         2   (u)                -51   186     0   376   376   147     0      0.425     -0.015     60.124     60.127      0.330
   198        -2   (ubar)             -51   186     0   380   380     0   105      0.126     -0.194      2.122      2.159      0.330
   199        21   (g)                -52   187   187   265   265   105   136     -1.017     -1.383      5.077      5.359      0.000
   200        21   (g)                -51   195     0   227   228   150   151     16.870    -11.471     93.797     95.990      0.000
   201        21   (g)                -51   195     0   209   210   151   102      2.263     -1.147      9.750     10.075      0.000
   202        21   (g)                -52   196   196   211   211   102   138      0.918     -0.254     10.266     10.310      0.000
   203        21   (g)                -51   191     0   244   244   118   152     -1.251      1.047      5.331      5.575      0.000
   204        21   (g)                -51   191     0   332   332   152   149     -0.870     -0.309      2.488      2.654      0.000
   205        21   (g)                -52   192   192   291   292   149   135     -0.520     -0.046      1.296      1.397      0.000
   206        21   (g)                -51   146     0   360   360   153   128     -2.583     -0.716     11.564     11.871      0.000
   207        21   (g)                -51   146     0   383   383   125   153     -0.021     -0.222      0.266      0.347      0.000
   208        21   (g)                -52   132   132   263   264   136   125     -3.934     -1.345     15.467     16.017      0.000
   209         1   (d)                -51   201     0   229   229   151     0      0.738     -0.101      5.806      5.863      0.330
   210        -1   (dbar)             -51   201     0   384   384     0   102      2.012     -1.181      9.385      9.676      0.330
   211        21   (g)                -52   202   202   369   369   102   138      0.431     -0.119      4.825      4.846      0.000
   212        21   (g)                -51    88     0   300   301   111   154      1.594     -0.281    -41.528     41.560      0.000
   213        21   (g)                -51    88     0   302   302   154   124     -0.264     -0.155     -2.944      2.960      0.000
   214        21   (g)                -53   482   482    83    83   110   124      0.000     -0.000      0.095      0.095      0.000
   215        21   (g)                -51   147     0   339   340   155   108      0.284     -0.477      3.164      3.212      0.000
   216        21   (g)                -51   147     0   385   385   129   155      4.657     -1.529     26.605     27.053      0.000
   217        21   (g)                -52   179   179   294   295   145   129      7.062     -0.391     43.083     43.660      0.000
   218        21   (g)                -51   155     0   277   277   138   156      0.430     -1.291      6.579      6.718      0.000
   219        21   (g)                -51   155     0   275   276   156   121     -0.517     -0.173      8.365      8.383      0.000
   220        21   (g)                -52   151   151   285   286   121   134     -0.091      4.679    160.159    160.228      0.000
   221        21   (g)                -51   116     0   252   252   115   157     -0.057     -0.427     -0.484      0.648      0.000
   222        21   (g)                -51   116     0   256   256   157   133      0.545     -0.408      0.700      0.977      0.000
   223        21   (g)                -52   117   117   254   254   133   122      0.393     -0.394     -1.229      1.349      0.000
   224         2   (u)                -51   172     0   250   250   158     0      0.079      1.915   1429.177   1429.178      0.330
   225        21   (g)                -51   172     0   233   234   117   158      0.338      0.309     75.019     75.021      0.000
   226        21   (g)                -52   171   171   235   235   143   117     -1.179      0.453     49.073     49.090      0.000
   227        21   (g)                -51   200     0   280   280   150   159     13.794     -9.146     74.162     75.986      0.000
   228        21   (g)                -51   200     0   278   279   159   151      3.127     -2.291     20.203     20.572      0.000
   229         1   (d)                -52   209   209   381   381   151     0      0.687     -0.135      5.238      5.295      0.330
   230        21   (g)                -51   189     0   377   377   160   148      0.041      0.538     -0.745      0.920      0.000
   231        21   (g)                -51   189     0   388   388   119   160     -1.577      1.530     -5.596      6.011      0.000
   232        21   (g)                -52   190   190   354   354   109   119     -0.413      0.511     -4.744      4.789      0.000
   233        21   (g)                -51   225     0   257   257   161   158     -0.256      0.440     92.665     92.666      0.000
   234        21   (g)                -51   225     0   258   258   117   161      0.133      0.046      1.557      1.564      0.000
   235        21   (g)                -52   226   226   255   255   143   117     -0.717      0.276     29.871     29.881      0.000
   236        21   (g)                -51    85     0   239   240   110   162     -2.977      1.815    -56.870     56.976      0.000
   237        21   (g)                -51    85     0   241   241   162   113     -1.078     -0.020    -28.552     28.572      0.000
   238        -2   (ubar)             -53   483   483    84    84     0   113      0.000     -0.000   -651.489    651.489      0.000
   239        21   (g)                -51   236     0   484   484   110   163     -1.744      0.282    -29.501     29.554      0.000
   240        21   (g)                -51   236     0   492   492   163   162     -1.850      1.521    -43.709     43.774      0.000
   241        21   (g)                -52   237   237   491   491   162   113     -0.461     -0.009    -12.212     12.221      0.000
   242        21   (g)                -51   175     0   269   270   104   164     -0.444      2.854     25.002     25.168      0.000
   243        21   (g)                -51   175     0   247   247   164   118     -0.717      0.620      9.133      9.182      0.000
   244        21   (g)                -52   203   203   245   246   118   152     -1.063      0.890      4.531      4.738      0.000
   245        21   (g)                -51   244     0   330   331   165   152     -1.465      1.362      8.292      8.530      0.000
   246        21   (g)                -51   244     0   390   390   118   165     -0.076     -0.059      2.334      2.336      0.000
   247        21   (g)                -52   243   243   389   389   164   118     -0.239      0.206      3.038      3.054      0.000
   248         2   (u)                -42   494   494    95    95   115     0      0.000     -0.000   1628.366   1628.366      0.000
   249        21   (g)                -41   495   495   259    96   166   127     -0.000      0.000     -6.922      6.922      0.000
   250         2   (u)                -44   224   224   496   496   158     0      0.079      1.915   1429.245   1429.247      0.330
   251        21   (g)                -44   170   170   262   262   116   143     -0.674     -1.131     74.005     74.016      0.000
   252        21   (g)                -44   221   221   498   498   115   157     -0.105     -0.365     -0.502      0.630      0.000
   253        21   (g)                -44   118   118   499   499   122   127      0.411     -0.133     -1.650      1.705      0.000
   254        21   (g)                -44   223   223   500   500   133   122      0.283     -0.253     -1.261      1.317      0.000
   255        21   (g)                -44   235   235   336   337   143   117     -0.718      0.277     29.916     29.926      0.000
   256        21   (g)                -44   222   222   502   502   157   133      0.534     -0.393      0.655      0.932      0.000
   257        21   (g)                -44   233   233   503   503   161   158     -0.256      0.440     92.697     92.699      0.000
   258        21   (g)                -44   234   234   504   504   117   161      0.133      0.046      1.554      1.560      0.000
   259        21   (g)                -43   249     0   260   261   166   116      0.314     -0.404     -3.216      3.256      0.000
   260        21   (g)                -51   259     0   318   319   166   167      0.651     -0.656     -3.097      3.232      0.000
   261        21   (g)                -51   259     0   266   267   167   116     -0.344      0.242      0.542      0.686      0.000
   262        21   (g)                -52   251   251   268   268   116   143     -0.668     -1.121     73.343     73.355      0.000
   263        21   (g)                -51   208     0   346   346   168   125     -1.198     -0.047      4.162      4.331      0.000
   264        21   (g)                -51   208     0   391   391   136   168     -3.080     -1.765     13.021     13.496      0.000
   265        21   (g)                -52   199   199   367   367   105   136     -0.674     -0.916      3.362      3.549      0.000
   266        21   (g)                -51   261     0   320   320   167   169     -0.333      0.615      1.997      2.116      0.000
   267        21   (g)                -51   261     0   312   313   169   116     -0.061     -0.457      4.107      4.132      0.000
   268        21   (g)                -52   262   262   314   314   116   143     -0.618     -1.036     67.782     67.793      0.000
   269        21   (g)                -51   242     0   348   348   170   164     -0.628      2.537     18.778     18.959      0.000
   270        21   (g)                -51   242     0   333   334   104   170     -0.055      0.363      7.464      7.473      0.000
   271        -1   (dbar)             -52   174   174   335   335     0   104     -8.510      1.663     44.121     44.966      0.330
   272        21   (g)                -51   185     0   371   371   171   147     -0.186      0.687    153.557    153.559      0.000
   273        21   (g)                -51   185     0   393   393   140   171     -0.861     -0.011    242.362    242.363      0.000
   274        21   (g)                -52   161   161   368   368   137   140     -0.652     -0.338     90.312     90.315      0.000
   275        21   (g)                -51   219     0   386   386   172   121     -0.164      0.213      1.314      1.341      0.000
   276        21   (g)                -51   219     0   394   394   156   172     -0.200     -0.845      9.392      9.432      0.000
   277        21   (g)                -52   218   218   356   356   138   156      0.277     -0.831      4.238      4.328      0.000
   278        21   (g)                -51   228     0   387   387   173   151      2.076     -1.678     14.065     14.316      0.000
   279        21   (g)                -51   228     0   395   395   159   173      9.503     -6.217     51.577     52.812      0.000
   280        21   (g)                -52   227   227   379   379   150   159      5.342     -3.542     28.723     29.429      0.000
   281        -3   (sbar)             -31   511   511   283   284     0   174      0.000      0.000      0.001      0.001      0.000
   282        -1   (dbar)             -31   512   512   283   284     0   175      0.000      0.000   -607.908    607.908      0.000
   283        -3   (sbar)             -33   281   282   513   513     0   175      0.177     -0.296   -191.710    191.711      0.500
   284        -1   (dbar)             -33   281   282   514   514     0   174     -0.177      0.296   -416.197    416.198      0.330
   285        21   (g)                -51   220     0   365   365   121   176      0.496      3.329    117.742    117.790      0.000
   286        21   (g)                -51   220     0   396   396   176   134     -0.136      4.323    128.469    128.542      0.000
   287        21   (g)                -52   184   184   347   347   134   139      0.718      4.733    136.983    137.067      0.000
   288        21   (g)                -51   145     0   324   325   130   177      2.333     -0.149      7.694      8.042      0.000
   289        21   (g)                -51   145     0   326   326   177   126      0.828     -0.337      5.730      5.799      0.000
   290        21   (g)                -52   181   181   363   363   126   131      4.172     -0.758     24.041     24.412      0.000
   291        21   (g)                -51   205     0   378   378   149   178      0.148      0.309      0.317      0.467      0.000
   292        21   (g)                -51   205     0   398   398   178   135     -0.915      0.441      2.045      2.283      0.000
   293        21   (g)                -52   193   193   366   366   135   107     -0.063      0.204      0.274      0.347      0.000
   294        21   (g)                -51   217     0   349   349   179   129      4.264     -0.734     29.743     30.056      0.000
   295        21   (g)                -51   217     0   311   311   145   179      9.959     -0.583     62.533     63.324      0.000
   296        21   (g)                -52   180   180   309   310   131   145      8.235     -1.065     56.569     57.175      0.000
   297        21   (g)                -51   183     0   375   375   139   180     -0.161      1.142     23.530     23.558      0.000
   298        21   (g)                -51   183     0   400   400   180   146      0.482      1.997     67.255     67.286      0.000
   299        21   (g)                -52   182   182   303   304   146   106      0.939      2.195     67.480     67.522      0.000
   300        21   (g)                -51   212     0   487   487   111   181      1.596     -0.194    -36.670     36.705      0.000
   301        21   (g)                -51   212     0   493   493   181   154     -0.112     -0.151     -6.077      6.080      0.000
   302        21   (g)                -52   213   213   490   490   154   124     -0.155     -0.091     -1.725      1.734      0.000
   303        21   (g)                -51   299     0   329   329   146   182      0.967      1.591     50.737     50.771      0.000
   304        21   (g)                -51   299     0   327   328   182   106      0.159      1.216     57.989     58.002      0.000
   305         1   (d)                -52   160   160   351   351   106     0      0.735      2.368    155.753    155.773      0.330
   306        21   (g)                -51   141     0   317   317   114   183     -7.430     -1.069     28.950     29.907      0.000
   307        21   (g)                -51   141     0   402   402   183   120     -2.538     -0.103     11.956     12.223      0.000
   308        21   (g)                -52   167   167   352   352   120   142     -2.369      0.551      9.573      9.878      0.000
   309        21   (g)                -51   296     0   374   374   131   185     14.460     -1.548     93.954     95.072      0.000
   310        21   (g)                -51   296     0   403   403   185   145      1.501      0.030     11.125     11.226      0.000
   311        21   (g)                -52   295   295   399   399   145   179      2.234     -0.131     14.024     14.201      0.000
   312        21   (g)                -51   267     0   507   507   169   186     -0.568     -0.403     16.150     16.165      0.000
   313        21   (g)                -51   267     0   508   508   186   116      0.321     -0.367      8.446      8.460      0.000
   314        21   (g)                -52   268   268   338   338   116   143     -0.431     -0.723     47.292     47.300      0.000
   315        21   (g)                -51   130     0   344   344   132   187     -2.291     -0.303      8.879      9.175      0.000
   316        21   (g)                -51   130     0   404   404   187   114     -2.847      0.477     14.493     14.778      0.000
   317        21   (g)                -52   306   306   355   355   114   183     -5.212     -0.750     20.308     20.979      0.000
   318        21   (g)                -51   260     0   505   505   166   188      0.335     -0.885     -2.418      2.597      0.000
   319        21   (g)                -51   260     0   509   509   188   167      0.303      0.253     -0.600      0.718      0.000
   320        21   (g)                -52   266   266   506   506   167   169     -0.320      0.590      1.919      2.033      0.000
   321        21   (g)                -51   150     0   364   364   189   132    -12.001     -0.582     47.375     48.875      0.000
   322        21   (g)                -51   150     0   405   405   101   189     -6.611     -1.023     27.203     28.013      0.000
   323        21   (g)                -52   144   144   358   358   128   101     -6.329     -1.781     25.291     26.132      0.000
   324        21   (g)                -51   288     0   359   359   130   190      2.622     -0.060     10.041     10.377      0.000
   325        21   (g)                -51   288     0   406   406   190   177      0.252     -0.309      1.398      1.453      0.000
   326        21   (g)                -52   289   289   397   397   177   126      0.287     -0.117      1.986      2.010      0.000
   327        21   (g)                -51   304     0   401   401   191   106      0.040      0.702     40.010     40.016      0.000
   328        21   (g)                -51   304     0   407   407   182   191      0.776      1.595     52.428     52.458      0.000
   329        21   (g)                -52   303   303   370   370   146   182      0.310      0.511     16.288     16.299      0.000
   330        21   (g)                -51   245     0   353   353   165   192     -1.436      1.334      8.345      8.573      0.000
   331        21   (g)                -51   245     0   408   408   192   152     -0.366     -0.091      0.911      0.986      0.000
   332        21   (g)                -52   204   204   382   382   152   149     -0.533     -0.189      1.524      1.625      0.000
   333        21   (g)                -51   270     0   392   392   194   170      0.091     -0.096      0.367      0.390      0.000
   334        21   (g)                -51   270     0   409   409   104   194     -0.695      0.566      9.932      9.973      0.000
   335        -1   (dbar)             -52   271   271   373   373     0   104     -7.961      1.556     41.287     42.077      0.330
   336        21   (g)                -51   255     0   501   501   196   117     -0.710      0.285     30.583     30.593      0.000
   337        21   (g)                -51   255     0   510   510   143   196     -0.274     -0.455     28.489     28.494      0.000
   338        21   (g)                -52   314   314   497   497   116   143     -0.165     -0.277     18.136     18.139      0.000
   339        21   (g)                -51   215     0   361   361   155   197      3.090     -1.790     19.870     20.188      0.000
   340        21   (g)                -51   215     0   410   410   197   108      1.328     -1.181      7.619      7.823      0.000
   341        21   (g)                -52   194   194   345   345   108   150      2.544     -1.534     14.968     15.260      0.000
   342         1   (d)                -42   412   412   128   128   137     0      0.000     -0.000   1985.787   1985.787      0.000
   343        21   (g)                -41   413   413   411   129   198   107     -0.000      0.000   -228.784    228.784      0.000
   344        21   (g)                -44   315   315   414   414   132   187     -2.292     -0.302      8.886      9.182      0.000
   345        21   (g)                -44   341   341   415   415   108   150      2.543     -1.533     14.951     15.243      0.000
   346        21   (g)                -44   263   263   416   416   168   125     -1.199     -0.046      4.166      4.335      0.000
   347        21   (g)                -44   287   287   417   417   134   139      0.718      4.733    137.002    137.085      0.000
   348        21   (g)                -44   269   269   418   418   170   164     -0.629      2.538     18.792     18.973      0.000
   349        21   (g)                -44   294   294   419   419   179   129      4.262     -0.732     29.723     30.036      0.000
   350        21   (g)                -44   188   188   420   420   148   123      0.071      0.375     -0.063      0.387      0.000
   351         1   (d)                -44   305   305   421   421   106     0      0.734      2.368    155.761    155.781      0.330
   352        21   (g)                -44   308   308   422   422   120   142     -2.371      0.553      9.585      9.889      0.000
   353        21   (g)                -44   330   330   423   423   165   192     -1.437      1.335      8.357      8.584      0.000
   354        21   (g)                -44   232   232   424   424   109   119     -0.449      0.554     -4.740      4.793      0.000
   355        21   (g)                -44   317   317   425   425   114   183     -5.214     -0.747     20.324     20.995      0.000
   356        21   (g)                -44   277   277   426   426   138   156      0.276     -0.831      4.233      4.323      0.000
   357        21   (g)                -44   143   143   427   427   123   103      1.262      0.737      0.251      1.483      0.000
   358        21   (g)                -44   323   323   428   428   128   101     -6.332     -1.777     25.307     26.147      0.000
   359        21   (g)                -44   324   324   429   429   130   190      2.620     -0.059     10.030     10.367      0.000
   360        21   (g)                -44   206   206   430   430   153   128     -2.584     -0.715     11.570     11.877      0.000
   361        21   (g)                -44   339   339   431   431   155   197      3.089     -1.788     19.850     20.169      0.000
   362        21   (g)                -44   148   148   432   432   103   130      0.121     -0.270     -0.237      0.379      0.000
   363        21   (g)                -44   290   290   433   433   126   131      4.170     -0.756     24.022     24.393      0.000
   364        21   (g)                -44   321   321   434   434   189   132    -12.007     -0.575     47.417     48.917      0.000
   365        21   (g)                -44   285   285   435   435   121   176      0.496      3.329    117.755    117.803      0.000
   366        21   (g)                -44   293   293   436   436   135   107     -0.064      0.205      0.275      0.349      0.000
   367        21   (g)                -44   265   265   437   437   105   136     -0.674     -0.915      3.361      3.548      0.000
   368        21   (g)                -44   274   274   438   438   137   140     -0.652     -0.338     90.313     90.316      0.000
   369        21   (g)                -44   211   211   439   439   102   138      0.431     -0.119      4.823      4.843      0.000
   370        21   (g)                -44   329   329   440   440   146   182      0.310      0.511     16.289     16.300      0.000
   371        21   (g)                -44   272   272   441   441   171   147     -0.186      0.687    153.561    153.563      0.000
   372         1   (d)                -44   173   173   442   442   142     0     -2.570      0.220     19.141     19.317      0.330
   373        -1   (dbar)             -44   335   335   443   443     0   104     -7.964      1.560     41.323     42.114      0.330
   374        21   (g)                -44   309   309   444   444   131   185     14.456     -1.543     93.893     95.011      0.000
   375        21   (g)                -44   297   297   445   445   139   180     -0.162      1.142     23.536     23.564      0.000
   376         2   (u)                -44   197   197   446   446   147     0      0.425     -0.015     60.123     60.125      0.330
   377        21   (g)                -44   230   230   447   447   160   148      0.035      0.546     -0.743      0.922      0.000
   378        21   (g)                -44   291   291   448   448   149   178      0.148      0.310      0.318      0.468      0.000
   379        21   (g)                -44   280   280   449   449   150   159      5.340     -3.539     28.687     29.393      0.000
   380        -2   (ubar)             -44   198   198   450   450     0   105      0.126     -0.194      2.120      2.158      0.330
   381         1   (d)                -44   229   229   451   451   151     0      0.687     -0.134      5.235      5.292      0.330
   382        21   (g)                -44   332   332   452   452   152   149     -0.533     -0.189      1.525      1.626      0.000
   383        21   (g)                -44   207   207   453   453   125   153     -0.021     -0.222      0.265      0.346      0.000
   384        -1   (dbar)             -44   210   210   454   454     0   102      2.011     -1.179      9.372      9.663      0.330
   385        21   (g)                -44   216   216   455   455   129   155      4.655     -1.527     26.581     27.029      0.000
   386        21   (g)                -44   275   275   456   456   172   121     -0.164      0.213      1.316      1.343      0.000
   387        21   (g)                -44   278   278   457   457   173   151      2.075     -1.677     14.050     14.301      0.000
   388        21   (g)                -44   231   231   458   458   119   160     -1.620      1.582     -5.583      6.025      0.000
   389        21   (g)                -44   247   247   459   459   164   118     -0.239      0.206      3.039      3.056      0.000
   390        21   (g)                -44   246   246   460   460   118   165     -0.076     -0.059      2.334      2.336      0.000
   391        21   (g)                -44   264   264   461   461   136   168     -3.082     -1.763     13.024     13.499      0.000
   392        21   (g)                -44   333   333   462   462   194   170      0.091     -0.096      0.366      0.389      0.000
   393        21   (g)                -44   273   273   463   463   140   171     -0.861     -0.011    242.365    242.366      0.000
   394        21   (g)                -44   276   276   464   464   156   172     -0.200     -0.845      9.389      9.429      0.000
   395        21   (g)                -44   279   279   465   465   159   173      9.498     -6.211     51.513     52.748      0.000
   396        21   (g)                -44   286   286   466   466   176   134     -0.136      4.324    128.489    128.562      0.000
   397        21   (g)                -44   326   326   467   467   177   126      0.287     -0.117      1.984      2.008      0.000
   398        21   (g)                -44   292   292   468   468   178   135     -0.916      0.442      2.050      2.288      0.000
   399        21   (g)                -44   311   311   469   469   145   179      2.233     -0.130     14.015     14.193      0.000
   400        21   (g)                -44   298   298   470   470   180   146      0.481      1.997     67.262     67.294      0.000
   401        21   (g)                -44   327   327   471   471   191   106      0.040      0.702     40.013     40.019      0.000
   402        21   (g)                -44   307   307   472   472   183   120     -2.539     -0.102     11.965     12.232      0.000
   403        21   (g)                -44   310   310   473   473   185   145      1.500      0.030     11.119     11.220      0.000
   404        21   (g)                -44   316   316   474   474   187   114     -2.848      0.478     14.506     14.791      0.000
   405        21   (g)                -44   322   322   475   475   101   189     -6.614     -1.019     27.223     28.033      0.000
   406        21   (g)                -44   325   325   476   476   190   177      0.252     -0.308      1.395      1.451      0.000
   407        21   (g)                -44   328   328   477   477   182   191      0.776      1.595     52.432     52.462      0.000
   408        21   (g)                -44   331   331   478   478   192   152     -0.367     -0.091      0.912      0.987      0.000
   409        21   (g)                -44   334   334   479   479   104   194     -0.695      0.566      9.937      9.978      0.000
   410        21   (g)                -44   340   340   480   480   197   108      1.328     -1.180      7.608      7.813      0.000
   411        21   (g)                -43   343     0   481   481   198   109      0.150     -0.183   -208.659    208.660      0.000
   412         1   (d)                -61     1     0   342   342   137     0     -0.363      3.239   1985.770   1985.772      0.000
   413        21   (g)                -61     2     0   343   343   113   107      2.697     -3.203   -228.764    228.802      0.000
   414        21   (g)                -62   344   344   536     0   132   187     -2.292     -0.289      8.875      9.171      0.000
   415        21   (g)                -62   345   345   530     0   108   150      2.542     -1.510     14.978     15.267      0.000
   416        21   (g)                -62   346   346   561   561   168   125     -1.198     -0.040      4.159      4.328      0.000
   417        21   (g)                -62   347   347   580   580   134   139      0.693      4.956    136.968    137.059      0.000
   418        21   (g)                -62   348   348   624   624   170   164     -0.631      2.567     18.768     18.953      0.000
   419        21   (g)                -62   349   349   707   707   179   129      4.259     -0.686     29.754     30.065      0.000
   420        21   (g)                -62   350   350   531     0   148   123      0.073      0.372     -0.065      0.385      0.000
   421         1   (d)                -62   351   351   534     0   106     0      0.706      2.622    155.745    155.769      0.330
   422        21   (g)                -62   352   352   553   553   120   142     -2.371      0.567      9.566      9.872      0.000
   423        21   (g)                -62   353   353   543     0   165   167     -1.437      1.347      8.338      8.567      0.000
   424        21   (g)                -62   354   354   695   695   109   119     -0.392      0.488     -4.747      4.788      0.000
   425        21   (g)                -62   355   355   555   555   114   183     -5.214     -0.718     20.298     20.969      0.000
   426        21   (g)                -62   356   356   585   585   138   156      0.276     -0.825      4.241      4.330      0.000
   427        21   (g)                -62   357   357   699   699   123   103      1.269      0.730      0.253      1.485      0.000
   428        21   (g)                -62   358   358   537     0   128   101     -6.331     -1.741     25.282     26.121      0.000
   429        21   (g)                -62   359   359   702   702   130   190      2.620     -0.044     10.047     10.383      0.000
   430        21   (g)                -62   360   360   537     0   153   128     -2.584     -0.698     11.560     11.866      0.000
   431        21   (g)                -62   361   361   709   709   155   197      3.087     -1.758     19.883     20.198      0.000
   432        21   (g)                -62   362   362   700   700   103   157      0.124     -0.274     -0.235      0.381      0.000
   433        21   (g)                -62   363   363   704   704   126   131      4.168     -0.719     24.052     24.421      0.000
   434        21   (g)                -62   364   364   536     0   189   132    -12.007     -0.507     47.349     48.850      0.000
   435        21   (g)                -62   365   365   582   582   121   176      0.475      3.521    117.731    117.784      0.000
   436        21   (g)                -62   366   366   542     0   135   115     -0.063      0.205      0.273      0.347      0.000
   437        21   (g)                -62   367   367   563   563   105   136     -0.674     -0.911      3.364      3.550      0.000
   438        21   (g)                -62   368   368   668   668   137   140     -0.669     -0.191     90.311     90.313      0.000
   439        21   (g)                -62   369   369   533     0   102   186      0.431     -0.111      4.826      4.847      0.000
   440        21   (g)                -62   370   370   532     0   146   182      0.307      0.537     16.287     16.298      0.000
   441        21   (g)                -62   371   371   538     0   171   147     -0.214      0.938    153.553    153.556      0.000
   442         1   (d)                -62   372   372   552   552   142     0     -2.573      0.250     19.124     19.301      0.330
   443        -1   (dbar)             -62   373   373   627   627     0   104     -7.967      1.622     41.263     42.058      0.330
   444        21   (g)                -62   374   374   705   705   131   185     14.445     -1.396     93.990     95.104      0.000
   445        21   (g)                -62   375   375   579   579   139   180     -0.166      1.180     23.526     23.556      0.000
   446         2   (u)                -62   376   376   665   665   147     0      0.414      0.083     60.125     60.127      0.330
   447        21   (g)                -62   377   377   523     0   160   188      0.045      0.534     -0.747      0.919      0.000
   448        21   (g)                -62   378   378   617   617   149   178      0.148      0.309      0.316      0.467      0.000
   449        21   (g)                -62   379   379   521     0   150   159      5.339     -3.497     28.746     29.446      0.000
   450        -2   (ubar)             -62   380   380   564   564     0   105      0.126     -0.191      2.122      2.160      0.330
   451         1   (d)                -62   381   381   713   713   151     0      0.687     -0.126      5.240      5.297      0.330
   452        21   (g)                -62   382   382   541     0   152   149     -0.533     -0.187      1.523      1.624      0.000
   453        21   (g)                -62   383   383   560   560   125   153     -0.021     -0.222      0.266      0.347      0.000
   454        -1   (dbar)             -62   384   384   587   587     0   117      2.011     -1.166      9.393      9.682      0.330
   455        21   (g)                -62   385   385   708   708   129   155      4.653     -1.487     26.621     27.065      0.000
   456        21   (g)                -62   386   386   583   583   172   121     -0.164      0.215      1.313      1.341      0.000
   457        21   (g)                -62   387   387   712   712   173   151      2.074     -1.656     14.075     14.323      0.000
   458        21   (g)                -62   388   388   696   696   119   133     -1.552      1.501     -5.604      6.006      0.000
   459        21   (g)                -62   389   389   623   623   164   169     -0.239      0.211      3.036      3.053      0.000
   460        21   (g)                -62   390   390   540     0   118   143     -0.076     -0.055      2.334      2.336      0.000
   461        21   (g)                -62   391   391   562   562   136   168     -3.081     -1.745     13.019     13.492      0.000
   462        21   (g)                -62   392   392   625   625   194   170      0.091     -0.095      0.367      0.390      0.000
   463        21   (g)                -62   393   393   667   667   140   161     -0.906      0.384    242.358    242.360      0.000
   464        21   (g)                -62   394   394   584   584   156   172     -0.202     -0.830      9.395      9.433      0.000
   465        21   (g)                -62   395   395   521     0   159   173      9.496     -6.134     51.618     52.841      0.000
   466        21   (g)                -62   396   396   581   581   176   134     -0.159      4.533    128.454    128.534      0.000
   467        21   (g)                -62   397   397   527     0   177   126      0.287     -0.113      1.987      2.011      0.000
   468        21   (g)                -62   398   398   542     0   178   135     -0.915      0.444      2.041      2.280      0.000
   469        21   (g)                -62   399   399   528     0   145   179      2.231     -0.108     14.029     14.206      0.000
   470        21   (g)                -62   400   400   578   578   180   146      0.469      2.107     67.249     67.284      0.000
   471        21   (g)                -62   401   401   534     0   191   106      0.032      0.767     40.007     40.015      0.000
   472        21   (g)                -62   402   402   554   554   183   120     -2.540     -0.084     11.950     12.217      0.000
   473        21   (g)                -62   403   403   528     0   185   145      1.499      0.048     11.128     11.228      0.000
   474        21   (g)                -62   404   404   556   556   187   114     -2.849      0.500     14.485     14.771      0.000
   475        21   (g)                -62   405   405   558   558   101   189     -6.614     -0.980     27.191     28.001      0.000
   476        21   (g)                -62   406   406   527     0   190   177      0.252     -0.306      1.399      1.454      0.000
   477        21   (g)                -62   407   407   532     0   182   191      0.766      1.680     52.424     52.457      0.000
   478        21   (g)                -62   408   408   541     0   192   152     -0.366     -0.090      0.910      0.985      0.000
   479        21   (g)                -62   409   409   626   626   104   194     -0.697      0.582      9.929      9.970      0.000
   480        21   (g)                -62   410   410   530     0   197   108      1.327     -1.169      7.625      7.828      0.000
   481        21   (g)                -62   411   411   689   689   113   141      2.610     -3.104   -208.639    208.678      0.000
   482        21   (g)                -61     1     0   214   214   113   124     -0.445     -2.280    -14.096     14.286      0.000
   483        -2   (ubar)             -61     2     0   238   238     0   113     -0.418      1.124   -640.025    640.026      0.000
   484        21   (g)                -62   239   239   529     0   110   163     -1.887     -0.299    -33.485     33.539      0.000
   485        21   (g)                -62   166   166   524     0   112   144      0.700     -0.010    -45.359     45.365      0.000
   486        -2   (ubar)             -62   176   176   604   604     0   124      0.279     -0.490    -53.435     53.439      0.330
   487        21   (g)                -62   300   300   614   614   111   107      1.491     -0.555    -37.372     37.406      0.000
   488        21   (g)                -62   178   178   524     0   141   112      0.192     -0.102    -16.537     16.538      0.000
   489        21   (g)                -62   177   177   691   691   144   181      1.176     -0.028   -408.203    408.204      0.000
   490        21   (g)                -62   302   302   526     0   154   162     -0.179     -0.197     -3.821      3.830      0.000
   491        21   (g)                -62   241   241   529     0   162   110     -0.490     -0.090    -13.785     13.794      0.000
   492        21   (g)                -62   240   240   525     0   163   166     -2.022      0.787    -33.894     33.963      0.000
   493        21   (g)                -62   301   301   526     0   181   154     -0.123     -0.171     -8.231      8.233      0.000
   494         2   (u)                -61     1     0   248   248   127     0     -0.116     -0.940   1628.124   1628.124      0.000
   495        21   (g)                -61     2     0   249   249   107   127     -1.357      2.751     -6.583      7.262      0.000
   496         2   (u)                -62   250   250   613   613   107     0     -0.023      1.090   1429.407   1429.407      0.330
   497        21   (g)                -62   338   338   539     0   116   196     -0.167     -0.287     18.095     18.098      0.000
   498        21   (g)                -62   252   252   615   615   115   111     -0.216     -0.140     -0.537      0.595      0.000
   499        21   (g)                -62   253   253   522     0   122   160      0.082      0.534     -1.634      1.721      0.000
   500        21   (g)                -62   254   254   522     0   133   122      0.031      0.260     -1.276      1.303      0.000
   501        21   (g)                -62   336   336   620   620   196   165     -0.713      0.270     30.705     30.714      0.000
   502        21   (g)                -62   256   256   701   701   157   130      0.507     -0.338      0.532      0.808      0.000
   503        21   (g)                -62   257   257   538     0   161   171     -0.263      0.387     92.796     92.798      0.000
   504        21   (g)                -62   258   258   533     0   117   102      0.132      0.047      1.550      1.557      0.000
   505        21   (g)                -62   318   318   525     0   166   109     -0.157      0.112     -2.504      2.512      0.000
   506        21   (g)                -62   320   320   543     0   167   192     -0.331      0.612      2.070      2.184      0.000
   507        21   (g)                -62   312   312   540     0   169   118     -0.571     -0.410     16.124     16.139      0.000
   508        21   (g)                -62   313   313   535     0   186   138      0.319     -0.369      8.340      8.355      0.000
   509        21   (g)                -62   319   319   523     0   188   148      0.174      0.515     -0.547      0.771      0.000
   510        21   (g)                -62   337   337   539     0   143   116     -0.276     -0.470     28.421     28.427      0.000
   511        -3   (sbar)             -61     1     0   281   281     0   137      0.200      0.077    -18.303     18.304      0.000
   512        -1   (dbar)             -61     2     0   282   282     0   175      0.029      0.024   -602.182    602.182      0.000
   513        -3   (sbar)             -62   283   283   545   545     0   175      0.343     -0.227   -214.382    214.383      0.500
   514        -1   (dbar)             -62   284   284   669   669     0   137     -0.114      0.329   -406.104    406.104      0.330
   515         2   (u)                -63     1     0   688   688   199     0      0.839      0.451   3368.847   3368.847      0.330
   516         3   (s)                -63     1     0   603   603   124     0     -0.117     -0.547     16.793     16.810      0.500
   517      2101   (ud_0)             -63     2     0   549   549     0   201      0.017     -0.878  -4015.968   4015.968      0.579
   518         2   (u)                -63     2     0   714   714   127     0     -0.410      0.385   -743.417    743.417      0.330
   519         2   (u)                -63     2     0   544   544   175     0     -0.141     -0.611   -303.050    303.051      0.330
   520         1   (d)                -63     2     0   548   548   201     0     -0.416      0.407   -427.146    427.147      0.330
   521        21   (g)                -73   449   465   711   711   150   173     14.834     -9.631     80.364     82.288      0.125
   522        21   (g)                -73   499   500   697   697   133   160      0.113      0.794     -2.910      3.024      0.176
   523        21   (g)                -73   447   509   531     0   160   148      0.219      1.049     -1.294      1.690      0.187
   524        21   (g)                -73   485   488   690   690   141   144      0.892     -0.112    -61.896     61.903      0.193
   525        21   (g)                -73   492   505   694   694   163   109     -2.178      0.899    -36.398     36.475      0.200
   526        21   (g)                -73   490   493   692   692   181   162     -0.302     -0.369    -12.051     12.063      0.248
   527        21   (g)                -73   467   476   703   703   190   126      0.539     -0.420      3.386      3.465      0.273
   528        21   (g)                -73   469   473   706   706   185   179      3.730     -0.061     25.157     25.435      0.336
   529        21   (g)                -73   484   491   693   693   162   163     -2.377     -0.389    -47.270     47.333      0.450
   530        21   (g)                -73   415   480   710   710   197   150      3.869     -2.679     22.604     23.095      0.557
   531        21   (g)                -73   420   523   698   698   160   123      0.292      1.421     -1.359      2.075      0.596
   532        21   (g)                -73   440   477   577   577   146   191      1.074      2.217     68.711     68.755      0.127
   533        21   (g)                -73   439   504   535     0   117   186      0.563     -0.065      6.376      6.403      0.146
   534         1   (d)                -73   421   471   576   576   191     0      0.739      3.390    195.752    195.784      0.507
   535        21   (g)                -73   508   533   586   586   117   138      0.881     -0.434     14.717     14.758      0.494
   536        21   (g)                -73   414   434   557   557   189   187    -14.299     -0.796     56.224     58.021      0.458
   537        21   (g)                -73   428   430   559   559   153   101     -8.916     -2.440     36.843     37.987      0.468
   538        21   (g)                -73   441   503   666   666   161   147     -0.477      1.325    246.350    246.354      0.288
   539        21   (g)                -73   497   510   621   621   143   196     -0.443     -0.757     46.516     46.524      0.019
   540        21   (g)                -73   460   507   622   622   169   143     -0.648     -0.465     18.458     18.475      0.019
   541        21   (g)                -73   452   478   618   618   192   149     -0.899     -0.277      2.434      2.610      0.065
   542        21   (g)                -73   436   468   616   616   178   115     -0.978      0.648      2.314      2.627      0.413
   543        21   (g)                -73   423   506   619   619   165   192     -1.769      1.959     10.408     10.751      0.547
   544         2   (u)                -71   519   519   546   547   175     0     -0.141     -0.611   -303.050    303.051      0.330
   545        -3   (sbar)             -71   513   513   546   547     0   175      0.343     -0.227   -214.382    214.383      0.500
   546       211   pi+                 82   544   545     0     0     0     0     -0.123     -0.243   -119.567    119.568      0.140
   547       313   (K*0)              -82   544   545   770   771     0     0      0.325     -0.595   -397.865    397.866      0.816
   548         1   (d)                -71   520   520   550   551   201     0     -0.416      0.407   -427.146    427.147      0.330
   549      2101   (ud_0)             -71   517   517   550   551     0   201      0.017     -0.878  -4015.968   4015.968      0.579
   550      -211   pi-                 83   548   549     0     0     0     0     -0.455      0.552   -651.239    651.239      0.140
   551      2212   p+                  84   548   549     0     0     0     0      0.056     -1.022  -3791.876   3791.876      0.938
   552         1   (d)                -71   442   442   565   575   142     0     -2.573      0.250     19.124     19.301      0.330
   553        21   (g)                -71   422   422   565   575   120   142     -2.371      0.567      9.566      9.872      0.000
   554        21   (g)                -71   472   472   565   575   183   120     -2.540     -0.084     11.950     12.217      0.000
   555        21   (g)                -71   425   425   565   575   114   183     -5.214     -0.718     20.298     20.969      0.000
   556        21   (g)                -71   474   474   565   575   187   114     -2.849      0.500     14.485     14.771      0.000
   557        21   (g)                -71   536   536   565   575   189   187    -14.299     -0.796     56.224     58.021      0.458
   558        21   (g)                -71   475   475   565   575   101   189     -6.614     -0.980     27.191     28.001      0.000
   559        21   (g)                -71   537   537   565   575   153   101     -8.916     -2.440     36.843     37.987      0.468
   560        21   (g)                -71   453   453   565   575   125   153     -0.021     -0.222      0.266      0.347      0.000
   561        21   (g)                -71   416   416   565   575   168   125     -1.198     -0.040      4.159      4.328      0.000
   562        21   (g)                -71   461   461   565   575   136   168     -3.081     -1.745     13.019     13.492      0.000
   563        21   (g)                -71   437   437   565   575   105   136     -0.674     -0.911      3.364      3.550      0.000
   564        -2   (ubar)             -71   450   450   565   575     0   105      0.126     -0.191      2.122      2.160      0.330
   565      -213   (rho-)             -83   552   564   772   773     0     0     -2.856      0.300     18.015     18.259      0.787
   566       213   (rho+)             -83   552   564   774   775     0     0     -2.301     -0.002     12.384     12.620      0.788
   567      -211   pi-                 83   552   564     0     0     0     0     -3.236      0.582     15.617     15.960      0.140
   568      3222   (Sigma+)           -84   552   564   881   882     0     0    -15.564     -0.944     61.831     63.778      1.189
   569     -3222   (Sigmabar-)        -84   552   564   883   884     0     0     -7.301     -1.162     29.411     30.350      1.189
   570       211   pi+                 84   552   564     0     0     0     0     -3.314     -0.586     15.130     15.501      0.140
   571      -213   (rho-)             -84   552   564   776   777     0     0     -3.908     -0.395     15.991     16.498      1.028
   572       223   (omega)            -84   552   564   885   887     0     0     -6.296     -1.279     23.864     24.727      0.802
   573       113   (rho0)             -84   552   564   778   779     0     0     -3.356     -2.181     13.105     13.725      0.784
   574       223   (omega)            -84   552   564   888   889     0     0     -0.870     -0.099      7.480      7.571      0.780
   575       221   (eta)              -84   552   564   890   891     0     0     -1.222     -1.045      5.783      6.027      0.548
   576         1   (d)                -71   534   534   588   602   191     0      0.739      3.390    195.752    195.784      0.507
   577        21   (g)                -71   532   532   588   602   146   191      1.074      2.217     68.711     68.755      0.127
   578        21   (g)                -71   470   470   588   602   180   146      0.469      2.107     67.249     67.284      0.000
   579        21   (g)                -71   445   445   588   602   139   180     -0.166      1.180     23.526     23.556      0.000
   580        21   (g)                -71   417   417   588   602   134   139      0.693      4.956    136.968    137.059      0.000
   581        21   (g)                -71   466   466   588   602   176   134     -0.159      4.533    128.454    128.534      0.000
   582        21   (g)                -71   435   435   588   602   121   176      0.475      3.521    117.731    117.784      0.000
   583        21   (g)                -71   456   456   588   602   172   121     -0.164      0.215      1.313      1.341      0.000
   584        21   (g)                -71   464   464   588   602   156   172     -0.202     -0.830      9.395      9.433      0.000
   585        21   (g)                -71   426   426   588   602   138   156      0.276     -0.825      4.241      4.330      0.000
   586        21   (g)                -71   535   535   588   602   117   138      0.881     -0.434     14.717     14.758      0.494
   587        -1   (dbar)             -71   454   454   588   602     0   117      2.011     -1.166      9.393      9.682      0.330
   588      -211   pi-                 83   576   587     0     0     0     0     -0.061      0.428     32.739     32.742      0.140
   589       321   K+                  83   576   587     0     0     0     0      1.362      3.186    166.154    166.190      0.494
   590      -313   (K*bar0)           -83   576   587   780   781     0     0      0.108      3.444    102.338    102.399      0.857
   591       111   (pi0)              -83   576   587   892   893     0     0      0.381      2.087     56.091     56.131      0.135
   592      -211   pi-                 83   576   587     0     0     0     0      0.177      0.272      7.240      7.248      0.140
   593       211   pi+                 83   576   587     0     0     0     0      0.419      2.969     96.734     96.781      0.140
   594       221   (eta)              -83   576   587   894   896     0     0      0.223      1.635     49.469     49.500      0.548
   595      -211   pi-                 83   576   587     0     0     0     0      0.276      7.106    198.419    198.546      0.140
   596       211   pi+                 84   576   587     0     0     0     0     -0.050     -0.052      1.968      1.975      0.140
   597      2112   n0                  84   576   587     0     0     0     0      0.077     -0.040     12.402     12.438      0.940
   598       211   pi+                 84   576   587     0     0     0     0     -0.146     -0.179      2.899      2.911      0.140
   599     -3224   (Sigma*bar-)       -84   576   587   782   783     0     0      0.874      0.124     24.442     24.498      1.408
   600      -311   (Kbar0)            -84   576   587   784   784     0     0     -0.083     -0.656     10.281     10.314      0.498
   601       113   (rho0)             -84   576   587   785   786     0     0      1.542     -0.714      8.766      9.033      1.365
   602       111   (pi0)              -84   576   587   897   898     0     0      0.829     -0.747      7.508      7.592      0.135
   603         3   (s)                -71   516   516   605   612   124     0     -0.117     -0.547     16.793     16.810      0.500
   604        -2   (ubar)             -71   486   486   605   612     0   124      0.279     -0.490    -53.435     53.439      0.330
   605      -311   (Kbar0)            -83   603   604   787   787     0     0     -0.375     -0.859     12.793     12.837      0.498
   606       111   (pi0)              -83   603   604   899   900     0     0      0.487     -0.051      0.742      0.900      0.135
   607      -211   pi-                 83   603   604     0     0     0     0     -0.207      0.497      2.590      2.649      0.140
   608       111   (pi0)              -83   603   604   901   902     0     0     -0.047     -0.214      0.413      0.487      0.135
   609       211   pi+                 83   603   604     0     0     0     0     -0.528      0.023     -1.956      2.030      0.140
   610      -213   (rho-)             -84   603   604   788   789     0     0      0.625     -0.128     -7.094      7.175      0.859
   611       113   (rho0)             -84   603   604   790   791     0     0      0.199     -0.292     -9.913      9.948      0.758
   612       113   (rho0)             -84   603   604   792   793     0     0      0.009     -0.013    -34.217     34.222      0.630
   613         2   (u)                -71   496   496   628   664   107     0     -0.023      1.090   1429.407   1429.407      0.330
   614        21   (g)                -71   487   487   628   664   111   107      1.491     -0.555    -37.372     37.406      0.000
   615        21   (g)                -71   498   498   628   664   115   111     -0.216     -0.140     -0.537      0.595      0.000
   616        21   (g)                -71   542   542   628   664   178   115     -0.978      0.648      2.314      2.627      0.413
   617        21   (g)                -71   448   448   628   664   149   178      0.148      0.309      0.316      0.467      0.000
   618        21   (g)                -71   541   541   628   664   192   149     -0.899     -0.277      2.434      2.610      0.065
   619        21   (g)                -71   543   543   628   664   165   192     -1.769      1.959     10.408     10.751      0.547
   620        21   (g)                -71   501   501   628   664   196   165     -0.713      0.270     30.705     30.714      0.000
   621        21   (g)                -71   539   539   628   664   143   196     -0.443     -0.757     46.516     46.524      0.019
   622        21   (g)                -71   540   540   628   664   169   143     -0.648     -0.465     18.458     18.475      0.019
   623        21   (g)                -71   459   459   628   664   164   169     -0.239      0.211      3.036      3.053      0.000
   624        21   (g)                -71   418   418   628   664   170   164     -0.631      2.567     18.768     18.953      0.000
   625        21   (g)                -71   462   462   628   664   194   170      0.091     -0.095      0.367      0.390      0.000
   626        21   (g)                -71   479   479   628   664   104   194     -0.697      0.582      9.929      9.970      0.000
   627        -1   (dbar)             -71   443   443   628   664     0   104     -7.967      1.622     41.263     42.058      0.330
   628       211   pi+                 83   613   627     0     0     0     0      0.099      1.163   1046.773   1046.773      0.140
   629      -211   pi-                 83   613   627     0     0     0     0     -0.124     -0.002    105.793    105.793      0.140
   630       221   (eta)              -83   613   627   903   904     0     0      0.300     -0.396    130.315    130.317      0.548
   631       211   pi+                 83   613   627     0     0     0     0     -0.314      0.099     40.802     40.803      0.140
   632      -211   pi-                 83   613   627     0     0     0     0      0.028      0.083      3.984      3.987      0.140
   633       213   (rho+)             -83   613   627   794   795     0     0      0.165      0.458     69.520     69.526      0.836
   634       221   (eta)              -83   613   627   905   906     0     0     -0.339     -0.126     26.600     26.608      0.548
   635       313   (K*0)              -83   613   627   796   797     0     0      0.313     -0.018      2.570      2.727      0.857
   636      -311   (Kbar0)            -83   613   627   798   798     0     0     -0.055     -0.368      1.004      1.180      0.498
   637      -213   (rho-)             -83   613   627   799   800     0     0      0.223     -0.084      0.570      1.023      0.815
   638       111   (pi0)              -83   613   627   907   908     0     0     -0.252      0.460      0.296      0.617      0.135
   639      2212   p+                  83   613   627     0     0     0     0      0.082     -0.011     -0.253      0.975      0.938
   640     -2212   pbar-               83   613   627     0     0     0     0     -0.001     -0.320     -1.195      1.553      0.938
   641       211   pi+                 83   613   627     0     0     0     0     -0.038     -0.265     -1.114      1.154      0.140
   642      2112   n0                  83   613   627     0     0     0     0      0.292      0.216     -4.609      4.718      0.940
   643     -2212   pbar-               83   613   627     0     0     0     0      0.390      0.077    -10.576     10.625      0.938
   644       211   pi+                 83   613   627     0     0     0     0     -0.136     -0.348     -2.379      2.412      0.140
   645      -213   (rho-)             -83   613   627   801   802     0     0      0.354     -0.061     -4.098      4.202      0.859
   646       213   (rho+)             -83   613   627   803   804     0     0      0.108      0.230     -5.176      5.236      0.752
   647      -211   pi-                 83   613   627     0     0     0     0      0.543     -0.075     -5.134      5.165      0.140
   648       213   (rho+)             -83   613   627   805   806     0     0     -0.490      0.135     -1.381      1.694      0.840
   649      -211   pi-                 83   613   627     0     0     0     0      0.140     -0.069     -0.581      0.618      0.140
   650       211   pi+                 84   613   627     0     0     0     0     -0.608      0.314      1.320      1.493      0.140
   651      -213   (rho-)             -84   613   627   807   808     0     0     -0.765     -0.046      3.020      3.214      0.792
   652       113   (rho0)             -84   613   627   809   810     0     0     -0.969      1.133      4.387      4.692      0.738
   653       211   pi+                 84   613   627     0     0     0     0     -0.152      0.098      0.567      0.611      0.140
   654       113   (rho0)             -84   613   627   811   812     0     0     -0.547      0.065      3.846      3.959      0.763
   655       313   (K*0)              -84   613   627   813   814     0     0     -0.667      0.609     13.404     13.464      0.892
   656      -323   (K*-)              -84   613   627   815   816     0     0     -0.469     -0.389     28.310     28.332      0.943
   657       223   (omega)            -84   613   627   909   911     0     0     -0.407      0.188     18.849     18.871      0.783
   658       211   pi+                 84   613   627     0     0     0     0     -0.448     -0.076      6.004      6.023      0.140
   659       223   (omega)            -84   613   627   912   914     0     0     -0.431      0.248     37.651     37.662      0.783
   660      -211   pi-                 84   613   627     0     0     0     0     -0.268      0.564      4.273      4.321      0.140
   661       111   (pi0)              -84   613   627   915   916     0     0      0.243     -0.018      1.363      1.391      0.135
   662       321   K+                  84   613   627     0     0     0     0     -0.988      1.928     14.309     14.480      0.494
   663      -323   (K*-)              -84   613   627   817   818     0     0     -3.303      0.623     21.386     21.671      0.983
   664       213   (rho+)             -84   613   627   819   820     0     0     -5.002      0.949     25.595     26.107      0.753
   665         2   (u)                -71   446   446   670   687   147     0      0.414      0.083     60.125     60.127      0.330
   666        21   (g)                -71   538   538   670   687   161   147     -0.477      1.325    246.350    246.354      0.288
   667        21   (g)                -71   463   463   670   687   140   161     -0.906      0.384    242.358    242.360      0.000
   668        21   (g)                -71   438   438   670   687   137   140     -0.669     -0.191     90.311     90.313      0.000
   669        -1   (dbar)             -71   514   514   670   687     0   137     -0.114      0.329   -406.104    406.104      0.330
   670       211   pi+                 83   665   669     0     0     0     0      0.126      0.148     52.883     52.884      0.140
   671       113   (rho0)             -83   665   669   821   822     0     0     -0.031      0.329    113.349    113.351      0.711
   672       111   (pi0)              -83   665   669   917   918     0     0      0.059      0.266     68.032     68.033      0.135
   673       113   (rho0)             -83   665   669   823   824     0     0     -1.537      0.719    228.580    228.587      0.665
   674       111   (pi0)              -83   665   669   919   920     0     0      0.195     -0.099    139.679    139.679      0.135
   675       113   (rho0)             -83   665   669   825   826     0     0     -0.221      0.403     19.653     19.700      1.276
   676       223   (omega)            -83   665   669   921   923     0     0     -0.379     -0.444     13.596     13.650      1.071
   677      2112   n0                  83   665   669     0     0     0     0      0.534      0.396      0.550      1.276      0.940
   678     -2212   pbar-               83   665   669     0     0     0     0     -0.148     -0.072      1.550      1.819      0.938
   679       323   (K*+)              -83   665   669   827   828     0     0     -0.203     -0.101      0.086      0.887      0.853
   680      -311   (Kbar0)            -84   665   669   829   829     0     0     -0.095      0.319     -0.943      1.117      0.498
   681       113   (rho0)             -84   665   669   830   831     0     0      0.359     -0.160     -1.929      2.122      0.792
   682      -211   pi-                 84   665   669     0     0     0     0     -0.132     -0.332     -1.439      1.489      0.140
   683       213   (rho+)             -84   665   669   832   833     0     0     -0.422      0.262    -24.865     24.881      0.765
   684      -211   pi-                 84   665   669     0     0     0     0      0.548     -0.514    -20.455     20.469      0.140
   685       113   (rho0)             -84   665   669   834   835     0     0     -0.146      0.414    -17.973     17.996      0.798
   686       213   (rho+)             -84   665   669   836   837     0     0      0.205      0.276   -217.420    217.422      0.826
   687       111   (pi0)              -84   665   669   924   925     0     0     -0.462      0.122   -119.895    119.896      0.135
   688         2   (u)                -71   515   515   715   769   199     0      0.839      0.451   3368.847   3368.847      0.330
   689        21   (g)                -71   481   481   715   769   113   141      2.610     -3.104   -208.639    208.678      0.000
   690        21   (g)                -71   524   524   715   769   141   144      0.892     -0.112    -61.896     61.903      0.193
   691        21   (g)                -71   489   489   715   769   144   181      1.176     -0.028   -408.203    408.204      0.000
   692        21   (g)                -71   526   526   715   769   181   162     -0.302     -0.369    -12.051     12.063      0.248
   693        21   (g)                -71   529   529   715   769   162   163     -2.377     -0.389    -47.270     47.333      0.450
   694        21   (g)                -71   525   525   715   769   163   109     -2.178      0.899    -36.398     36.475      0.200
   695        21   (g)                -71   424   424   715   769   109   119     -0.392      0.488     -4.747      4.788      0.000
   696        21   (g)                -71   458   458   715   769   119   133     -1.552      1.501     -5.604      6.006      0.000
   697        21   (g)                -71   522   522   715   769   133   160      0.113      0.794     -2.910      3.024      0.176
   698        21   (g)                -71   531   531   715   769   160   123      0.292      1.421     -1.359      2.075      0.596
   699        21   (g)                -71   427   427   715   769   123   103      1.269      0.730      0.253      1.485      0.000
   700        21   (g)                -71   432   432   715   769   103   157      0.124     -0.274     -0.235      0.381      0.000
   701        21   (g)                -71   502   502   715   769   157   130      0.507     -0.338      0.532      0.808      0.000
   702        21   (g)                -71   429   429   715   769   130   190      2.620     -0.044     10.047     10.383      0.000
   703        21   (g)                -71   527   527   715   769   190   126      0.539     -0.420      3.386      3.465      0.273
   704        21   (g)                -71   433   433   715   769   126   131      4.168     -0.719     24.052     24.421      0.000
   705        21   (g)                -71   444   444   715   769   131   185     14.445     -1.396     93.990     95.104      0.000
   706        21   (g)                -71   528   528   715   769   185   179      3.730     -0.061     25.157     25.435      0.336
   707        21   (g)                -71   419   419   715   769   179   129      4.259     -0.686     29.754     30.065      0.000
   708        21   (g)                -71   455   455   715   769   129   155      4.653     -1.487     26.621     27.065      0.000
   709        21   (g)                -71   431   431   715   769   155   197      3.087     -1.758     19.883     20.198      0.000
   710        21   (g)                -71   530   530   715   769   197   150      3.869     -2.679     22.604     23.095      0.557
   711        21   (g)                -71   521   521   715   769   150   173     14.834     -9.631     80.364     82.288      0.125
   712        21   (g)                -71   457   457   715   769   173   151      2.074     -1.656     14.075     14.323      0.000
   713         1   (d)                -71   451   451   715   769   151     0      0.687     -0.126      5.240      5.297      0.330
   714         2   (u)                -71   518   518   715   769   127     0     -0.410      0.385   -743.417    743.417      0.330
   715       213   (rho+)             -85   688   714   838   839     0     0     -0.397      0.374   -527.767    527.768      0.699
   716       311   (K0)               -85   688   714   840   840     0     0     -0.391      0.218    -68.134     68.137      0.498
   717       221   (eta)              -86   688   714   926   927     0     0      2.595     -1.722     17.641     17.922      0.548
   718       223   (omega)            -86   688   714   928   930     0     0      6.208     -3.744     31.492     32.325      0.807
   719       313   (K*0)              -86   688   714   841   842     0     0      5.830     -3.674     37.212     37.856      0.939
   720      -311   (Kbar0)            -86   688   714   843   843     0     0      2.474     -1.663     13.570     13.902      0.498
   721      -211   pi-                 86   688   714     0     0     0     0      6.285     -3.709     35.700     36.438      0.140
   722       321   K+                  86   688   714     0     0     0     0      3.294     -0.922     16.750     17.103      0.494
   723      -321   K-                  86   688   714     0     0     0     0      1.453      0.008     12.751     12.843      0.494
   724       213   (rho+)             -86   688   714   844   845     0     0      2.848     -1.252     16.845     17.143      0.659
   725      3122   (Lambda0)          -86   688   714   931   932     0     0      9.790     -1.596     62.710     63.499      1.116
   726     -3322   (Xibar0)           -86   688   714   933   934     0     0     10.425     -1.811     67.281     68.120      1.315
   727      -323   (K*-)              -86   688   714   846   847     0     0      2.790      0.099     17.603     17.845      0.896
   728       321   K+                  86   688   714     0     0     0     0      3.398     -0.060     17.674     18.005      0.494
   729       221   (eta)              -86   688   714   935   937     0     0      0.455     -0.910      3.863      4.032      0.548
   730      -323   (K*-)              -86   688   714   848   849     0     0      1.152      0.029      3.424      3.717      0.876
   731       213   (rho+)             -86   688   714   850   851     0     0      0.581      0.352      0.749      1.244      0.724
   732      -211   pi-                 86   688   714     0     0     0     0      0.301     -0.129      0.215      0.416      0.140
   733       221   (eta)              -86   688   714   938   940     0     0      0.289      0.052      0.229      0.662      0.548
   734       211   pi+                 86   688   714     0     0     0     0      0.318      0.659     -0.597      0.955      0.140
   735      2214   (Delta+)           -86   688   714   852   853     0     0      0.202      0.541     -1.590      2.086      1.221
   736       111   (pi0)              -86   688   714   941   942     0     0      0.388      0.469     -0.480      0.787      0.135
   737     -2224   (Deltabar--)       -86   688   714   854   855     0     0     -0.624      0.725     -2.890      3.284      1.232
   738       213   (rho+)             -86   688   714   856   857     0     0      0.028      0.598     -3.728      3.944      1.138
   739       311   (K0)               -86   688   714   858   858     0     0     -0.612      0.550     -4.955      5.047      0.498
   740      -311   (Kbar0)            -86   688   714   859   859     0     0     -0.038      0.088     -1.764      1.835      0.498
   741       113   (rho0)             -86   688   714   860   861     0     0     -1.099      0.930    -14.318     14.417      0.876
   742       311   (K0)               -86   688   714   862   862     0     0     -2.047     -0.351    -31.589     31.661      0.498
   743      -321   K-                  86   688   714     0     0     0     0     -0.190      0.395    -12.856     12.873      0.494
   744       221   (eta)              -86   688   714   943   944     0     0     -1.543      0.412    -40.425     40.460      0.548
   745       211   pi+                 86   688   714     0     0     0     0      0.037     -0.241    -14.613     14.615      0.140
   746       313   (K*0)              -86   688   714   863   864     0     0      0.304     -0.292    -47.505     47.516      0.907
   747      -323   (K*-)              -86   688   714   865   866     0     0     -0.182      0.127    -80.917     80.923      0.902
   748       223   (omega)            -86   688   714   945   947     0     0      0.617     -0.131    -82.526     82.532      0.784
   749      2212   p+                  86   688   714     0     0     0     0      0.550     -0.622   -133.184    133.189      0.938
   750     -2212   pbar-               86   688   714     0     0     0     0      0.463     -0.683    -80.421     80.430      0.938
   751       211   pi+                 86   688   714     0     0     0     0      0.481     -0.082    -22.623     22.629      0.140
   752      -211   pi-                 86   688   714     0     0     0     0     -0.002     -0.052    -20.681     20.681      0.140
   753       113   (rho0)             -86   688   714   867   868     0     0      1.285     -1.144   -165.506    165.521      1.380
   754       211   pi+                 86   688   714     0     0     0     0      0.047      0.020     -4.664      4.666      0.140
   755       211   pi+                 83   688   714     0     0     0     0      0.267     -0.065    938.781    938.781      0.140
   756      -211   pi-                 83   688   714     0     0     0     0      0.510      0.504   1378.255   1378.255      0.140
   757       111   (pi0)              -83   688   714   948   949     0     0      0.338     -0.108    211.072    211.072      0.135
   758       223   (omega)            -83   688   714   950   952     0     0     -0.065     -0.077    507.242    507.243      0.781
   759      2224   (Delta++)          -83   688   714   869   870     0     0     -0.309      0.630    229.764    229.768      1.214
   760      -211   pi-                 83   688   714     0     0     0     0      0.122     -0.105     93.456     93.456      0.140
   761     -2212   pbar-               83   688   714     0     0     0     0      0.161     -0.185      5.635      5.717      0.938
   762       113   (rho0)             -83   688   714   871   872     0     0     -0.030     -0.274      2.100      2.224      0.679
   763       211   pi+                 83   688   714     0     0     0     0     -0.280      0.274      1.276      1.342      0.140
   764       111   (pi0)              -84   688   714   953   954     0     0      0.148      0.060     -0.552      0.590      0.135
   765      -213   (rho-)             -84   688   714   873   874     0     0      0.450      0.066     -0.044      0.945      0.827
   766       213   (rho+)             -84   688   714   875   876     0     0     -0.312     -0.394     -0.015      1.166      1.052
   767       223   (omega)            -84   688   714   955   956     0     0      0.063      0.189     -1.990      2.143      0.768
   768      -211   pi-                 84   688   714     0     0     0     0     -0.132      0.064    -34.049     34.050      0.140
   769      3212   (Sigma0)           -84   688   714   957   958     0     0      0.881     -1.044   -130.831    130.843      1.193
   770       321   K+                  91   547     0     0     0     0     0      0.132     -0.567   -347.994    347.995      0.494
   771      -211   pi-                 91   547     0     0     0     0     0      0.193     -0.028    -49.871     49.871      0.140
   772      -211   pi-                 91   565     0     0     0     0     0     -2.611      0.329     17.109     17.311      0.140
   773       111   (pi0)              -91   565     0   959   960     0     0     -0.245     -0.029      0.905      0.948      0.135
   774       211   pi+                 91   566     0     0     0     0     0     -1.695     -0.316      9.234      9.395      0.140
   775       111   (pi0)              -91   566     0   961   962     0     0     -0.606      0.314      3.150      3.226      0.135
   776      -211   pi-                 91   571     0     0     0     0     0     -3.312     -0.097     14.215     14.596      0.140
   777       111   (pi0)              -91   571     0   963   964     0     0     -0.596     -0.298      1.776      1.902      0.135
   778       211   pi+                 91   573     0     0     0     0     0     -1.651     -0.908      7.307      7.547      0.140
   779      -211   pi-                 91   573     0     0     0     0     0     -1.706     -1.273      5.799      6.178      0.140
   780      -321   K-                  91   590     0     0     0     0     0     -0.057      2.485     67.006     67.054      0.494
   781       211   pi+                 91   590     0     0     0     0     0      0.165      0.959     35.331     35.345      0.140
   782     -3122   (Lambdabar0)       -91   599     0   965   966     0     0      0.773     -0.112     19.164     19.212      1.116
   783      -211   pi-                 91   599     0     0     0     0     0      0.101      0.236      5.278      5.286      0.140
   784       310   (K_S0)             -91   600   600   967   968     0     0     -0.083     -0.656     10.281     10.314      0.498
   785       211   pi+                 91   601     0     0     0     0     0      1.347     -1.035      7.851      8.034      0.140
   786      -211   pi-                 91   601     0     0     0     0     0      0.195      0.321      0.915      0.999      0.140
   787       130   K_L0                91   605   605     0     0     0     0     -0.375     -0.859     12.793     12.837      0.498
   788      -211   pi-                 91   610     0     0     0     0     0      0.535     -0.258     -2.422      2.498      0.140
   789       111   (pi0)              -91   610     0   969   970     0     0      0.090      0.130     -4.672      4.677      0.135
   790       211   pi+                 91   611     0     0     0     0     0      0.392     -0.384     -7.646      7.667      0.140
   791      -211   pi-                 91   611     0     0     0     0     0     -0.193      0.091     -2.267      2.282      0.140
   792       211   pi+                 91   612     0     0     0     0     0      0.061      0.251    -22.317     22.319      0.140
   793      -211   pi-                 91   612     0     0     0     0     0     -0.052     -0.264    -11.900     11.904      0.140
   794       211   pi+                 91   633     0     0     0     0     0     -0.151      0.339     14.217     14.222      0.140
   795       111   (pi0)              -91   633     0   971   972     0     0      0.316      0.119     55.303     55.304      0.135
   796       321   K+                  91   635     0     0     0     0     0      0.417     -0.086      1.427      1.569      0.494
   797      -211   pi-                 91   635     0     0     0     0     0     -0.105      0.068      1.143      1.158      0.140
   798       310   (K_S0)             -91   636   636   973   974     0     0     -0.055     -0.368      1.004      1.180      0.498
   799      -211   pi-                 91   637     0     0     0     0     0      0.423     -0.235      0.537      0.736      0.140
   800       111   (pi0)              -91   637     0   975   976     0     0     -0.200      0.151      0.033      0.286      0.135
   801      -211   pi-                 91   645     0     0     0     0     0      0.209     -0.339     -0.997      1.083      0.140
   802       111   (pi0)              -91   645     0   977   978     0     0      0.145      0.278     -3.100      3.119      0.135
   803       211   pi+                 91   646     0     0     0     0     0     -0.055      0.331     -4.602      4.616      0.140
   804       111   (pi0)              -91   646     0   979   980     0     0      0.163     -0.102     -0.574      0.620      0.135
   805       211   pi+                 91   648     0     0     0     0     0      0.008      0.148      0.017      0.204      0.140
   806       111   (pi0)              -91   648     0   981   982     0     0     -0.498     -0.013     -1.398      1.490      0.135
   807      -211   pi-                 91   651     0     0     0     0     0     -0.838     -0.033      2.892      3.014      0.140
   808       111   (pi0)              -91   651     0   983   984     0     0      0.073     -0.013      0.128      0.200      0.135
   809       211   pi+                 91   652     0     0     0     0     0     -0.224      0.640      1.272      1.448      0.140
   810      -211   pi-                 91   652     0     0     0     0     0     -0.745      0.493      3.115      3.244      0.140
   811       211   pi+                 91   654     0     0     0     0     0     -0.637     -0.150      2.798      2.877      0.140
   812      -211   pi-                 91   654     0     0     0     0     0      0.090      0.214      1.048      1.082      0.140
   813       321   K+                  91   655     0     0     0     0     0     -0.353      0.323      4.868      4.916      0.494
   814      -211   pi-                 91   655     0     0     0     0     0     -0.314      0.287      8.536      8.548      0.140
   815      -311   (Kbar0)            -91   656     0   877   877     0     0     -0.505     -0.489     26.435     26.449      0.498
   816      -211   pi-                 91   656     0     0     0     0     0      0.037      0.100      1.875      1.883      0.140
   817      -311   (Kbar0)            -91   663     0   878   878     0     0     -1.387      0.068      7.772      7.911      0.498
   818      -211   pi-                 91   663     0     0     0     0     0     -1.915      0.555     13.614     13.760      0.140
   819       211   pi+                 91   664     0     0     0     0     0     -2.120      0.470     12.677     12.863      0.140
   820       111   (pi0)              -91   664     0   985   986     0     0     -2.882      0.479     12.918     13.245      0.135
   821       211   pi+                 91   671     0     0     0     0     0     -0.236      0.247     29.674     29.677      0.140
   822      -211   pi-                 91   671     0     0     0     0     0      0.205      0.081     83.674     83.675      0.140
   823       211   pi+                 91   673     0     0     0     0     0     -0.216     -0.042     20.929     20.931      0.140
   824      -211   pi-                 91   673     0     0     0     0     0     -1.321      0.761    207.650    207.656      0.140
   825       211   pi+                 91   675     0     0     0     0     0     -0.725      0.367     11.028     11.059      0.140
   826      -211   pi-                 91   675     0     0     0     0     0      0.504      0.036      8.625      8.641      0.140
   827       311   (K0)               -91   679     0   879   879     0     0     -0.374     -0.088     -0.045      0.630      0.498
   828       211   pi+                 91   679     0     0     0     0     0      0.171     -0.014      0.130      0.257      0.140
   829       310   (K_S0)             -91   680   680   987   988     0     0     -0.095      0.319     -0.943      1.117      0.498
   830       211   pi+                 91   681     0     0     0     0     0      0.270     -0.426     -0.846      0.994      0.140
   831      -211   pi-                 91   681     0     0     0     0     0      0.088      0.266     -1.083      1.128      0.140
   832       211   pi+                 91   683     0     0     0     0     0     -0.560      0.016    -13.387     13.400      0.140
   833       111   (pi0)              -91   683     0   989   990     0     0      0.139      0.246    -11.477     11.481      0.135
   834       211   pi+                 91   685     0     0     0     0     0      0.192      0.205     -2.847      2.864      0.140
   835      -211   pi-                 91   685     0     0     0     0     0     -0.338      0.210    -15.125     15.131      0.140
   836       211   pi+                 91   686     0     0     0     0     0      0.298      0.207    -43.092     43.094      0.140
   837       111   (pi0)              -91   686     0   991   992     0     0     -0.093      0.069   -174.328    174.328      0.135
   838       211   pi+                 91   715     0     0     0     0     0     -0.218      0.494   -246.664    246.665      0.140
   839       111   (pi0)              -91   715     0   993   994     0     0     -0.179     -0.119   -281.103    281.103      0.135
   840       310   (K_S0)             -91   716   716   995   996     0     0     -0.391      0.218    -68.134     68.137      0.498
   841       311   (K0)               -91   719     0   880   880     0     0      3.975     -2.673     24.286     24.759      0.498
   842       111   (pi0)              -91   719     0   997   998     0     0      1.855     -1.001     12.926     13.097      0.135
   843       310   (K_S0)             -91   720   720   999  1000     0     0      2.474     -1.663     13.570     13.902      0.498
   844       211   pi+                 91   724     0     0     0     0     0      1.309     -0.897      8.143      8.297      0.140
   845       111   (pi0)              -91   724     0  1001  1002     0     0      1.539     -0.355      8.702      8.845      0.135
   846      -321   K-                  91   727     0     0     0     0     0      2.282     -0.036     12.729     12.942      0.494
   847       111   (pi0)              -91   727     0  1003  1004     0     0      0.508      0.135      4.873      4.903      0.135
   848      -321   K-                  91   730     0     0     0     0     0      0.647     -0.228      2.319      2.468      0.494
   849       111   (pi0)              -91   730     0  1005  1006     0     0      0.505      0.257      1.105      1.249      0.135
   850       211   pi+                 91   731     0     0     0     0     0      0.342     -0.167      0.290      0.498      0.140
   851       111   (pi0)              -91   731     0  1007  1008     0     0      0.238      0.519      0.459      0.745      0.135
   852      2212   p+                  91   735     0     0     0     0     0      0.016      0.493     -1.026      1.475      0.938
   853       111   (pi0)              -91   735     0  1009  1010     0     0      0.186      0.048     -0.564      0.611      0.135
   854     -2212   pbar-               91   737     0     0     0     0     0     -0.620      0.567     -1.955      2.326      0.938
   855      -211   pi-                 91   737     0     0     0     0     0     -0.004      0.158     -0.935      0.958      0.140
   856       211   pi+                 91   738     0     0     0     0     0      0.460      0.246     -2.813      2.864      0.140
   857       111   (pi0)              -91   738     0  1011  1012     0     0     -0.431      0.351     -0.915      1.079      0.135
   858       310   (K_S0)             -91   739   739  1013  1014     0     0     -0.612      0.550     -4.955      5.047      0.498
   859       310   (K_S0)             -91   740   740  1015  1016     0     0     -0.038      0.088     -1.764      1.835      0.498
   860       211   pi+                 91   741     0     0     0     0     0     -0.027      0.470     -3.286      3.322      0.140
   861      -211   pi-                 91   741     0     0     0     0     0     -1.072      0.460    -11.033     11.095      0.140
   862       130   K_L0                91   742   742     0     0     0     0     -2.047     -0.351    -31.589     31.661      0.498
   863       321   K+                  91   746     0     0     0     0     0      0.325     -0.244    -45.669     45.673      0.494
   864      -211   pi-                 91   746     0     0     0     0     0     -0.021     -0.049     -1.836      1.842      0.140
   865      -321   K-                  91   747     0     0     0     0     0     -0.273      0.125    -76.750     76.752      0.494
   866       111   (pi0)              -91   747     0  1017  1018     0     0      0.090      0.002     -4.167      4.171      0.135
   867       211   pi+                 91   753     0     0     0     0     0      0.958     -1.028   -157.146    157.153      0.140
   868      -211   pi-                 91   753     0     0     0     0     0      0.326     -0.117     -8.360      8.368      0.140
   869      2212   p+                  91   759     0     0     0     0     0     -0.191      0.568    153.639    153.643      0.938
   870       211   pi+                 91   759     0     0     0     0     0     -0.118      0.062     76.125     76.125      0.140
   871       211   pi+                 91   762     0     0     0     0     0      0.167     -0.274      0.524      0.630      0.140
   872      -211   pi-                 91   762     0     0     0     0     0     -0.196     -0.000      1.576      1.594      0.140
   873      -211   pi-                 91   765     0     0     0     0     0     -0.208      0.010     -0.097      0.269      0.140
   874       111   (pi0)              -91   765     0  1019  1020     0     0      0.658      0.056      0.053      0.676      0.135
   875       211   pi+                 91   766     0     0     0     0     0     -0.197      0.153     -0.387      0.481      0.140
   876       111   (pi0)              -91   766     0  1021  1023     0     0     -0.115     -0.547      0.372      0.685      0.135
   877       310   (K_S0)             -91   815   815  1024  1025     0     0     -0.505     -0.489     26.435     26.449      0.498
   878       130   K_L0                91   817   817     0     0     0     0     -1.387      0.068      7.772      7.911      0.498
   879       310   (K_S0)             -91   827   827  1026  1027     0     0     -0.374     -0.088     -0.045      0.630      0.498
   880       310   (K_S0)             -91   841   841  1028  1029     0     0      3.975     -2.673     24.286     24.759      0.498
   881      2212   p+                  91   568     0     0     0     0     0    -10.141     -0.632     40.143     41.420      0.938
   882       111   (pi0)              -91   568     0  1030  1031     0     0     -5.423     -0.311     21.688     22.358      0.135
   883     -2212   pbar-               91   569     0     0     0     0     0     -5.902     -0.870     23.015     23.794      0.938
   884       111   (pi0)              -91   569     0  1032  1033     0     0     -1.399     -0.292      6.396      6.555      0.135
   885       211   pi+                 91   572     0     0     0     0     0     -4.064     -0.989     16.146     16.679      0.140
   886      -211   pi-                 91   572     0     0     0     0     0     -0.485     -0.106      1.687      1.764      0.140
   887       111   (pi0)              -91   572     0  1034  1035     0     0     -1.748     -0.184      6.032      6.285      0.135
   888       111   (pi0)              -91   574     0  1036  1037     0     0     -0.142      0.177      0.723      0.770      0.135
   889        22   gamma               91   574     0     0     0     0     0     -0.728     -0.276      6.757      6.802      0.000
   890        22   gamma               91   575     0     0     0     0     0     -0.068      0.001      0.045      0.082      0.000
   891        22   gamma               91   575     0     0     0     0     0     -1.153     -1.045      5.738      5.945      0.000
   892        22   gamma               91   591     0     0     0     0     0      0.191      0.719     18.926     18.940      0.000
   893        22   gamma               91   591     0     0     0     0     0      0.190      1.368     37.165     37.191      0.000
   894       211   pi+                 91   594     0     0     0     0     0      0.173      0.768     19.765     19.781      0.140
   895      -211   pi-                 91   594     0     0     0     0     0      0.097      0.508     16.168     16.176      0.140
   896       111   (pi0)              -91   594     0  1038  1039     0     0     -0.047      0.360     13.536     13.542      0.135
   897        22   gamma               91   602     0     0     0     0     0      0.738     -0.675      6.411      6.488      0.000
   898        22   gamma               91   602     0     0     0     0     0      0.091     -0.072      1.098      1.104      0.000
   899        22   gamma               91   606     0     0     0     0     0     -0.004     -0.012      0.034      0.037      0.000
   900        22   gamma               91   606     0     0     0     0     0      0.492     -0.039      0.708      0.863      0.000
   901        22   gamma               91   608     0     0     0     0     0     -0.064     -0.057      0.226      0.242      0.000
   902        22   gamma               91   608     0     0     0     0     0      0.017     -0.157      0.187      0.245      0.000
   903        22   gamma               91   630     0     0     0     0     0     -0.069      0.094     29.523     29.523      0.000
   904        22   gamma               91   630     0     0     0     0     0      0.369     -0.490    100.792    100.794      0.000
   905        22   gamma               91   634     0     0     0     0     0     -0.039     -0.005      0.122      0.128      0.000
   906        22   gamma               91   634     0     0     0     0     0     -0.300     -0.121     26.477     26.479      0.000
   907        22   gamma               91   638     0     0     0     0     0     -0.226      0.391      0.194      0.492      0.000
   908        22   gamma               91   638     0     0     0     0     0     -0.025      0.070      0.101      0.125      0.000
   909       211   pi+                 91   657     0     0     0     0     0     -0.335     -0.002      6.024      6.035      0.140
   910      -211   pi-                 91   657     0     0     0     0     0     -0.029      0.289     10.079     10.084      0.140
   911       111   (pi0)              -91   657     0  1040  1041     0     0     -0.043     -0.100      2.747      2.752      0.135
   912       211   pi+                 91   659     0     0     0     0     0     -0.315      0.090     21.546     21.549      0.140
   913      -211   pi-                 91   659     0     0     0     0     0     -0.023     -0.063     11.004     11.005      0.140
   914       111   (pi0)              -91   659     0  1042  1043     0     0     -0.093      0.221      5.101      5.109      0.135
   915        22   gamma               91   661     0     0     0     0     0      0.125     -0.039      1.011      1.020      0.000
   916        22   gamma               91   661     0     0     0     0     0      0.117      0.021      0.352      0.371      0.000
   917        22   gamma               91   672     0     0     0     0     0      0.013     -0.008      1.178      1.178      0.000
   918        22   gamma               91   672     0     0     0     0     0      0.046      0.274     66.854     66.855      0.000
   919        22   gamma               91   674     0     0     0     0     0      0.174     -0.093     83.573     83.573      0.000
   920        22   gamma               91   674     0     0     0     0     0      0.021     -0.007     56.105     56.105      0.000
   921       211   pi+                 91   676     0     0     0     0     0     -0.309     -0.547      6.864      6.894      0.140
   922      -211   pi-                 91   676     0     0     0     0     0      0.206      0.094      3.293      3.304      0.140
   923       111   (pi0)              -91   676     0  1044  1045     0     0     -0.277      0.008      3.438      3.452      0.135
   924        22   gamma               91   687     0     0     0     0     0     -0.275      0.135    -67.887     67.887      0.000
   925        22   gamma               91   687     0     0     0     0     0     -0.187     -0.013    -52.008     52.009      0.000
   926        22   gamma               91   717     0     0     0     0     0      1.170     -0.569      8.528      8.627      0.000
   927        22   gamma               91   717     0     0     0     0     0      1.424     -1.153      9.113      9.295      0.000
   928       211   pi+                 91   718     0     0     0     0     0      2.461     -1.456     13.424     13.726      0.140
   929      -211   pi-                 91   718     0     0     0     0     0      2.767     -1.495     12.932     13.310      0.140
   930       111   (pi0)              -91   718     0  1046  1047     0     0      0.979     -0.793      5.136      5.290      0.135
   931      2212   p+                  91   725     0     0     0     0     0      7.741     -1.183     49.480     50.104      0.938
   932      -211   pi-                 91   725     0     0     0     0     0      2.049     -0.413     13.230     13.395      0.140
   933     -3122   (Lambdabar0)       -91   726     0  1048  1049     0     0      9.465     -1.540     61.277     62.033      1.116
   934       111   (pi0)              -91   726     0  1050  1051     0     0      0.960     -0.271      6.003      6.087      0.135
   935       111   (pi0)              -91   729     0  1052  1053     0     0      0.189     -0.417      1.437      1.514      0.135
   936       111   (pi0)              -91   729     0  1054  1055     0     0      0.138     -0.289      0.856      0.924      0.135
   937       111   (pi0)              -91   729     0  1056  1057     0     0      0.128     -0.204      1.571      1.595      0.135
   938       211   pi+                 91   733     0     0     0     0     0      0.024     -0.091      0.078      0.185      0.140
   939      -211   pi-                 91   733     0     0     0     0     0      0.160     -0.050      0.137      0.257      0.140
   940        22   gamma               91   733     0     0     0     0     0      0.104      0.193      0.014      0.219      0.000
   941        22   gamma               91   736     0     0     0     0     0      0.003      0.017     -0.053      0.056      0.000
   942        22   gamma               91   736     0     0     0     0     0      0.384      0.452     -0.427      0.731      0.000
   943        22   gamma               91   744     0     0     0     0     0     -0.901      0.103    -28.132     28.146      0.000
   944        22   gamma               91   744     0     0     0     0     0     -0.641      0.310    -12.293     12.313      0.000
   945       211   pi+                 91   748     0     0     0     0     0      0.064      0.087    -27.806     27.806      0.140
   946      -211   pi-                 91   748     0     0     0     0     0      0.066     -0.109     -6.346      6.349      0.140
   947       111   (pi0)              -91   748     0  1058  1059     0     0      0.487     -0.108    -48.374     48.377      0.135
   948        22   gamma               91   757     0     0     0     0     0      0.058     -0.046     76.422     76.422      0.000
   949        22   gamma               91   757     0     0     0     0     0      0.280     -0.062    134.650    134.650      0.000
   950       211   pi+                 91   758     0     0     0     0     0     -0.013     -0.074     44.517     44.518      0.140
   951      -211   pi-                 91   758     0     0     0     0     0     -0.169     -0.186    286.066    286.066      0.140
   952       111   (pi0)              -91   758     0  1060  1061     0     0      0.118      0.183    176.659    176.659      0.135
   953        22   gamma               91   764     0     0     0     0     0      0.103      0.102     -0.420      0.444      0.000
   954        22   gamma               91   764     0     0     0     0     0      0.045     -0.043     -0.132      0.146      0.000
   955       111   (pi0)              -91   767     0  1062  1063     0     0      0.108      0.474     -1.282      1.378      0.135
   956        22   gamma               91   767     0     0     0     0     0     -0.045     -0.285     -0.708      0.764      0.000
   957      3122   (Lambda0)          -91   769     0  1064  1065     0     0      0.799     -1.009   -118.491    118.503      1.116
   958        22   gamma               91   769     0     0     0     0     0      0.081     -0.034    -12.339     12.340      0.000
   959        22   gamma               91   773     0     0     0     0     0     -0.080     -0.075      0.385      0.400      0.000
   960        22   gamma               91   773     0     0     0     0     0     -0.165      0.046      0.520      0.548      0.000
   961        22   gamma               91   775     0     0     0     0     0     -0.608      0.319      3.078      3.154      0.000
   962        22   gamma               91   775     0     0     0     0     0      0.003     -0.005      0.071      0.072      0.000
   963        22   gamma               91   777     0     0     0     0     0     -0.396     -0.125      1.098      1.174      0.000
   964        22   gamma               91   777     0     0     0     0     0     -0.200     -0.173      0.678      0.728      0.000
   965     -2112   nbar0               91   782     0     0     0     0     0      0.650     -0.160     17.409     17.447      0.940
   966       111   (pi0)              -91   782     0  1066  1067     0     0      0.123      0.049      1.755      1.765      0.135
   967       211   pi+                 91   784     0     0     0     0     0     -0.141     -0.147      1.824      1.841      0.140
   968      -211   pi-                 91   784     0     0     0     0     0      0.057     -0.509      8.457      8.473      0.140
   969        22   gamma               91   789     0     0     0     0     0     -0.011     -0.006     -0.051      0.053      0.000
   970        22   gamma               91   789     0     0     0     0     0      0.101      0.137     -4.621      4.624      0.000
   971        22   gamma               91   795     0     0     0     0     0      0.269      0.127     39.467     39.468      0.000
   972        22   gamma               91   795     0     0     0     0     0      0.047     -0.008     15.836     15.836      0.000
   973       111   (pi0)              -91   798     0  1068  1069     0     0     -0.140     -0.216      0.882      0.929      0.135
   974       111   (pi0)              -91   798     0  1070  1071     0     0      0.085     -0.151      0.121      0.251      0.135
   975        22   gamma               91   800     0     0     0     0     0     -0.191      0.073      0.038      0.208      0.000
   976        22   gamma               91   800     0     0     0     0     0     -0.009      0.078     -0.005      0.079      0.000
   977        22   gamma               91   802     0     0     0     0     0      0.027      0.012     -0.775      0.776      0.000
   978        22   gamma               91   802     0     0     0     0     0      0.117      0.266     -2.325      2.343      0.000
   979        22   gamma               91   804     0     0     0     0     0      0.158     -0.058     -0.536      0.562      0.000
   980        22   gamma               91   804     0     0     0     0     0      0.005     -0.044     -0.038      0.058      0.000
   981        22   gamma               91   806     0     0     0     0     0     -0.317      0.012     -1.052      1.099      0.000
   982        22   gamma               91   806     0     0     0     0     0     -0.181     -0.026     -0.345      0.391      0.000
   983        22   gamma               91   808     0     0     0     0     0      0.070     -0.068      0.091      0.134      0.000
   984        22   gamma               91   808     0     0     0     0     0      0.003      0.055      0.037      0.066      0.000
   985        22   gamma               91   820     0     0     0     0     0     -1.558      0.319      6.882      7.064      0.000
   986        22   gamma               91   820     0     0     0     0     0     -1.324      0.160      6.035      6.181      0.000
   987       211   pi+                 91   829     0     0     0     0     0     -0.203      0.051     -0.257      0.360      0.140
   988      -211   pi-                 91   829     0     0     0     0     0      0.108      0.268     -0.686      0.757      0.140
   989        22   gamma               91   833     0     0     0     0     0      0.037      0.197     -7.232      7.235      0.000
   990        22   gamma               91   833     0     0     0     0     0      0.101      0.049     -4.245      4.247      0.000
   991        22   gamma               91   837     0     0     0     0     0     -0.096      0.059   -173.200    173.200      0.000
   992        22   gamma               91   837     0     0     0     0     0      0.003      0.011     -1.127      1.127      0.000
   993        22   gamma               91   839     0     0     0     0     0     -0.011      0.003     -1.676      1.676      0.000
   994        22   gamma               91   839     0     0     0     0     0     -0.168     -0.123   -279.427    279.427      0.000
   995       211   pi+                 91   840     0     0     0     0     0     -0.173      0.098    -11.497     11.500      0.140
   996      -211   pi-                 91   840     0     0     0     0     0     -0.217      0.120    -56.637     56.637      0.140
   997        22   gamma               91   842     0     0     0     0     0      0.613     -0.320      3.862      3.923      0.000
   998        22   gamma               91   842     0     0     0     0     0      1.242     -0.681      9.064      9.174      0.000
   999       211   pi+                 91   843     0     0     0     0     0      0.917     -0.404      4.240      4.359      0.140
  1000      -211   pi-                 91   843     0     0     0     0     0      1.557     -1.258      9.330      9.544      0.140
  1001        22   gamma               91   845     0     0     0     0     0      1.063     -0.289      5.799      5.903      0.000
  1002        22   gamma               91   845     0     0     0     0     0      0.476     -0.066      2.903      2.943      0.000
  1003        22   gamma               91   847     0     0     0     0     0      0.318      0.021      2.651      2.670      0.000
  1004        22   gamma               91   847     0     0     0     0     0      0.190      0.114      2.222      2.233      0.000
  1005        22   gamma               91   849     0     0     0     0     0      0.157      0.151      0.446      0.497      0.000
  1006        22   gamma               91   849     0     0     0     0     0      0.348      0.106      0.659      0.753      0.000
  1007        22   gamma               91   851     0     0     0     0     0      0.240      0.430      0.423      0.649      0.000
  1008        22   gamma               91   851     0     0     0     0     0     -0.002      0.089      0.037      0.096      0.000
  1009        22   gamma               91   853     0     0     0     0     0      0.014     -0.038     -0.131      0.137      0.000
  1010        22   gamma               91   853     0     0     0     0     0      0.172      0.086     -0.433      0.474      0.000
  1011        22   gamma               91   857     0     0     0     0     0     -0.024      0.058     -0.054      0.083      0.000
  1012        22   gamma               91   857     0     0     0     0     0     -0.407      0.293     -0.861      0.996      0.000
  1013       211   pi+                 91   858     0     0     0     0     0     -0.063      0.051     -1.626      1.634      0.140
  1014      -211   pi-                 91   858     0     0     0     0     0     -0.548      0.499     -3.329      3.413      0.140
  1015       111   (pi0)              -91   859     0  1072  1073     0     0      0.109     -0.123     -0.865      0.891      0.135
  1016       111   (pi0)              -91   859     0  1074  1075     0     0     -0.146      0.211     -0.899      0.944      0.135
  1017        22   gamma               91   866     0     0     0     0     0     -0.021     -0.038     -1.159      1.160      0.000
  1018        22   gamma               91   866     0     0     0     0     0      0.112      0.041     -3.008      3.010      0.000
  1019        22   gamma               91   874     0     0     0     0     0      0.295      0.062     -0.032      0.303      0.000
  1020        22   gamma               91   874     0     0     0     0     0      0.363     -0.006      0.086      0.373      0.000
  1021        22   gamma               91   876     0     0     0     0     0     -0.037     -0.262      0.251      0.365      0.000
  1022        11   e-                  91   876     0     0     0     0     0     -0.074     -0.280      0.116      0.312      0.001
  1023       -11   e+                  91   876     0     0     0     0     0     -0.004     -0.006      0.005      0.009      0.001
  1024       211   pi+                 91   877     0     0     0     0     0     -0.276     -0.505     18.216     18.226      0.140
  1025      -211   pi-                 91   877     0     0     0     0     0     -0.230      0.016      8.219      8.223      0.140
  1026       211   pi+                 91   879     0     0     0     0     0     -0.421     -0.142     -0.073      0.471      0.140
  1027      -211   pi-                 91   879     0     0     0     0     0      0.047      0.054      0.028      0.159      0.140
  1028       211   pi+                 91   880     0     0     0     0     0      0.988     -0.820      5.967      6.105      0.140
  1029      -211   pi-                 91   880     0     0     0     0     0      2.987     -1.853     18.319     18.654      0.140
  1030        22   gamma               91   882     0     0     0     0     0     -3.316     -0.130     13.358     13.764      0.000
  1031        22   gamma               91   882     0     0     0     0     0     -2.107     -0.181      8.330      8.594      0.000
  1032        22   gamma               91   884     0     0     0     0     0     -0.353     -0.080      1.367      1.415      0.000
  1033        22   gamma               91   884     0     0     0     0     0     -1.046     -0.212      5.029      5.141      0.000
  1034        22   gamma               91   887     0     0     0     0     0     -1.714     -0.165      5.934      6.179      0.000
  1035        22   gamma               91   887     0     0     0     0     0     -0.034     -0.019      0.098      0.106      0.000
  1036        22   gamma               91   888     0     0     0     0     0     -0.118      0.170      0.714      0.744      0.000
  1037        22   gamma               91   888     0     0     0     0     0     -0.024      0.007      0.009      0.026      0.000
  1038        22   gamma               91   896     0     0     0     0     0      0.010      0.302      9.851      9.856      0.000
  1039        22   gamma               91   896     0     0     0     0     0     -0.057      0.058      3.685      3.686      0.000
  1040        22   gamma               91   911     0     0     0     0     0     -0.088     -0.041      1.315      1.318      0.000
  1041        22   gamma               91   911     0     0     0     0     0      0.045     -0.059      1.432      1.434      0.000
  1042        22   gamma               91   914     0     0     0     0     0      0.016      0.128      2.818      2.821      0.000
  1043        22   gamma               91   914     0     0     0     0     0     -0.108      0.093      2.283      2.288      0.000
  1044        22   gamma               91   923     0     0     0     0     0      0.013     -0.012      0.263      0.264      0.000
  1045        22   gamma               91   923     0     0     0     0     0     -0.289      0.020      3.175      3.188      0.000
  1046        22   gamma               91   930     0     0     0     0     0      0.674     -0.599      3.846      3.951      0.000
  1047        22   gamma               91   930     0     0     0     0     0      0.305     -0.194      1.289      1.339      0.000
  1048     -2212   pbar-               91   933     0     0     0     0     0      8.231     -1.275     53.677     54.327      0.938
  1049       211   pi+                 91   933     0     0     0     0     0      1.234     -0.265      7.601      7.706      0.140
  1050        22   gamma               91   934     0     0     0     0     0      0.357     -0.098      2.638      2.664      0.000
  1051        22   gamma               91   934     0     0     0     0     0      0.602     -0.174      3.365      3.423      0.000
  1052        22   gamma               91   935     0     0     0     0     0      0.111     -0.172      0.454      0.498      0.000
  1053        22   gamma               91   935     0     0     0     0     0      0.078     -0.244      0.983      1.016      0.000
  1054        22   gamma               91   936     0     0     0     0     0      0.020     -0.046      0.039      0.063      0.000
  1055        22   gamma               91   936     0     0     0     0     0      0.118     -0.244      0.817      0.861      0.000
  1056        22   gamma               91   937     0     0     0     0     0      0.109     -0.057      0.866      0.874      0.000
  1057        22   gamma               91   937     0     0     0     0     0      0.019     -0.147      0.705      0.720      0.000
  1058        22   gamma               91   947     0     0     0     0     0      0.060     -0.018     -2.927      2.928      0.000
  1059        22   gamma               91   947     0     0     0     0     0      0.427     -0.091    -45.447     45.449      0.000
  1060        22   gamma               91   952     0     0     0     0     0      0.050      0.178    140.345    140.346      0.000
  1061        22   gamma               91   952     0     0     0     0     0      0.068      0.005     36.313     36.314      0.000
  1062        22   gamma               91   955     0     0     0     0     0      0.098      0.255     -0.859      0.901      0.000
  1063        22   gamma               91   955     0     0     0     0     0      0.010      0.219     -0.424      0.477      0.000
  1064      2112   n0                  91   957     0     0     0     0     0      0.794     -0.895   -108.706    108.717      0.940
  1065       111   (pi0)              -91   957     0  1076  1077     0     0      0.005     -0.115     -9.785      9.787      0.135
  1066        22   gamma               91   966     0     0     0     0     0      0.071      0.017      0.294      0.303      0.000
  1067        22   gamma               91   966     0     0     0     0     0      0.052      0.032      1.461      1.462      0.000
  1068        22   gamma               91   973     0     0     0     0     0     -0.062     -0.001      0.200      0.209      0.000
  1069        22   gamma               91   973     0     0     0     0     0     -0.078     -0.215      0.682      0.720      0.000
  1070        22   gamma               91   974     0     0     0     0     0      0.001     -0.009      0.081      0.081      0.000
  1071        22   gamma               91   974     0     0     0     0     0      0.084     -0.142      0.041      0.170      0.000
  1072        22   gamma               91  1015     0     0     0     0     0      0.114     -0.144     -0.677      0.701      0.000
  1073        22   gamma               91  1015     0     0     0     0     0     -0.006      0.021     -0.188      0.190      0.000
  1074        22   gamma               91  1016     0     0     0     0     0     -0.029      0.119     -0.576      0.589      0.000
  1075        22   gamma               91  1016     0     0     0     0     0     -0.117      0.093     -0.323      0.355      0.000
  1076        22   gamma               91  1065     0     0     0     0     0     -0.006      0.025     -0.634      0.635      0.000
  1077        22   gamma               91  1065     0     0     0     0     0      0.011     -0.140     -9.151      9.152      0.000
  1078      2212   (p+)               -12     0     0  1087     0     0     0      0.000      0.000      0.000      0.938      0.938
  1079      2212   (p+)               -12     0     0  1088     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
  1080        21   (g)                -31  1086  1086  1082  1083   306   307      0.000      0.000      0.001      0.001      0.000
  1081         2   (u)                -31  1088  1088  1082  1083   305     0      0.000      0.000  -3508.781   3508.781      0.000
  1082        21   (g)                -33  1080  1081  1089  1089   305   307      0.738     -1.660  -1577.793   1577.794      0.000
  1083         2   (u)                -33  1080  1081  1084  1085   306     0     -0.738      1.660  -1930.987   1930.988      0.330
  1084         2   (u)                -51  1083     0  1090  1090   308     0     -0.880      1.420  -1392.353   1392.354      0.330
  1085        21   (g)                -51  1083     0  1091  1091   306   308      0.142      0.241   -538.634    538.634      0.000
  1086        21   (g)                -53  1087  1087  1080  1080   306   307     -0.000      0.000      0.001      0.001      0.000
  1087        21   (g)                -61  1078     0  1086  1086   306   307     -0.187      0.449    -54.989     54.991      0.000
  1088         2   (u)                -61  1079     0  1081  1081   305     0      0.022     -0.319  -3458.865   3458.865      0.000
  1089        21   (g)                -62  1082  1082  1096  1096   305   307      0.654     -1.549  -1175.017   1175.018      0.000
  1090         2   (u)                -62  1084  1084  1107  1120   308     0     -0.958      1.476  -1768.274   1768.275      0.330
  1091        21   (g)                -62  1085  1085  1107  1120   306   308      0.139      0.203   -570.563    570.563      0.000
  1092      2101   (ud_0)             -63  1078     0  1107  1120     0   306      0.091     -0.360      0.134      0.701      0.579
  1093         2   (u)                -63  1078     0  1095  1095   307     0      0.095     -0.088     -0.573      0.674      0.330
  1094      2103   (ud_1)             -63  1079     0  1097  1097     0   305     -0.022      0.319  -3485.707   3485.707      0.771
  1095         2   (u)                -71  1093  1093  1098  1106   307     0      0.095     -0.088     -0.573      0.674      0.330
  1096        21   (g)                -71  1089  1089  1098  1106   305   307      0.654     -1.549  -1175.017   1175.018      0.000
  1097      2103   (ud_1)             -71  1094  1094  1098  1106     0   305     -0.022      0.319  -3485.707   3485.707      0.771
  1098       213   (rho+)             -83  1095  1097  1121  1122     0     0      0.036     -0.165     -4.594      4.662      0.774
  1099      -211   pi-                 83  1095  1097     0     0     0     0      0.087      0.071     -1.915      1.924      0.140
  1100       221   (eta)              -83  1095  1097  1137  1139     0     0     -0.344      0.089    -11.653     11.671      0.548
  1101       213   (rho+)             -83  1095  1097  1123  1124     0     0      0.499     -0.215   -118.333    118.336      0.742
  1102      -211   pi-                 83  1095  1097     0     0     0     0      0.057     -0.032    -31.882     31.882      0.140
  1103       223   (omega)            -83  1095  1097  1140  1142     0     0     -0.140     -0.534   -226.149    226.151      0.784
  1104       223   (omega)            -83  1095  1097  1143  1145     0     0      0.433     -0.270   -412.383    412.384      0.785
  1105       113   (rho0)             -84  1095  1097  1125  1126     0     0      0.105     -0.006  -2084.013   2084.013      0.630
  1106      2214   (Delta+)           -84  1095  1097  1127  1128     0     0     -0.006     -0.257  -1770.375   1770.375      1.235
  1107       213   (rho+)             -83  1090  1092  1129  1130     0     0     -0.286      0.985  -1321.583   1321.584      1.488
  1108       223   (omega)            -83  1090  1092  1146  1148     0     0     -0.571      0.804   -845.323    845.324      0.781
  1109      -211   pi-                 83  1090  1092     0     0     0     0      0.150     -0.633    -17.661     17.674      0.140
  1110       111   (pi0)              -83  1090  1092  1149  1150     0     0     -0.033      0.623    -27.708     27.715      0.135
  1111       213   (rho+)             -83  1090  1092  1131  1132     0     0     -0.221     -0.254    -53.143     53.149      0.749
  1112      -211   pi-                 83  1090  1092     0     0     0     0      0.446     -0.204    -16.026     16.034      0.140
  1113       213   (rho+)             -83  1090  1092  1133  1134     0     0     -0.079      0.467    -15.344     15.382      0.976
  1114      -213   (rho-)             -83  1090  1092  1135  1136     0     0     -0.211     -0.601    -31.702     31.718      0.801
  1115       111   (pi0)              -84  1090  1092  1151  1152     0     0     -0.243      0.575     -4.043      4.093      0.135
  1116       223   (omega)            -84  1090  1092  1153  1155     0     0      0.310     -0.526     -2.711      2.889      0.790
  1117       211   pi+                 84  1090  1092     0     0     0     0     -0.121      0.049     -0.375      0.421      0.140
  1118      -211   pi-                 84  1090  1092     0     0     0     0      0.467      0.188     -0.640      0.826      0.140
  1119       111   (pi0)              -84  1090  1092  1156  1157     0     0     -0.197     -0.083     -0.668      0.714      0.135
  1120      2212   p+                  84  1090  1092     0     0     0     0     -0.139     -0.070     -1.776      2.015      0.938
  1121       211   pi+                 91  1098     0     0     0     0     0      0.195     -0.013     -0.451      0.511      0.140
  1122       111   (pi0)              -91  1098     0  1158  1159     0     0     -0.159     -0.152     -4.142      4.150      0.135
  1123       211   pi+                 91  1101     0     0     0     0     0      0.053      0.202    -19.821     19.822      0.140
  1124       111   (pi0)              -91  1101     0  1160  1161     0     0      0.446     -0.417    -98.512     98.514      0.135
  1125       211   pi+                 91  1105     0     0     0     0     0      0.319     -0.094  -1361.716   1361.717      0.140
  1126      -211   pi-                 91  1105     0     0     0     0     0     -0.213      0.088   -722.297    722.297      0.140
  1127      2112   n0                  91  1106     0     0     0     0     0      0.003     -0.428  -1375.904   1375.904      0.940
  1128       211   pi+                 91  1106     0     0     0     0     0     -0.009      0.171   -394.471    394.472      0.140
  1129       211   pi+                 91  1107     0     0     0     0     0     -0.872      0.764   -843.072    843.073      0.140
  1130       111   (pi0)              -91  1107     0  1162  1163     0     0      0.585      0.222   -478.511    478.511      0.135
  1131       211   pi+                 91  1111     0     0     0     0     0      0.201      0.090    -17.710     17.712      0.140
  1132       111   (pi0)              -91  1111     0  1164  1165     0     0     -0.421     -0.344    -35.433     35.437      0.135
  1133       211   pi+                 91  1113     0     0     0     0     0      0.049      0.642     -6.227      6.262      0.140
  1134       111   (pi0)              -91  1113     0  1166  1167     0     0     -0.128     -0.175     -9.116      9.120      0.135
  1135      -211   pi-                 91  1114     0     0     0     0     0     -0.407     -0.366    -11.625     11.639      0.140
  1136       111   (pi0)              -91  1114     0  1168  1169     0     0      0.196     -0.235    -20.076     20.079      0.135
  1137       211   pi+                 91  1100     0     0     0     0     0     -0.078     -0.130     -3.542      3.548      0.140
  1138      -211   pi-                 91  1100     0     0     0     0     0     -0.113      0.139     -4.105      4.111      0.140
  1139       111   (pi0)              -91  1100     0  1170  1171     0     0     -0.154      0.080     -4.006      4.012      0.135
  1140       111   (pi0)              -91  1103     0  1172  1173     0     0     -0.093     -0.396   -161.935    161.936      0.135
  1141        11   e-                  91  1103     0     0     0     0     0      0.072      0.083     -6.657      6.658      0.001
  1142       -11   e+                  91  1103     0     0     0     0     0     -0.120     -0.221    -57.556     57.557      0.001
  1143       211   pi+                 91  1104     0     0     0     0     0     -0.052     -0.267   -170.577    170.577      0.140
  1144      -211   pi-                 91  1104     0     0     0     0     0      0.129      0.093   -109.659    109.659      0.140
  1145       111   (pi0)              -91  1104     0  1174  1175     0     0      0.357     -0.097   -132.148    132.148      0.135
  1146       211   pi+                 91  1108     0     0     0     0     0     -0.134      0.110    -68.161     68.162      0.140
  1147      -211   pi-                 91  1108     0     0     0     0     0     -0.336      0.315   -294.315    294.316      0.140
  1148       111   (pi0)              -91  1108     0  1176  1177     0     0     -0.101      0.378   -482.847    482.847      0.135
  1149        22   gamma               91  1110     0     0     0     0     0      0.034      0.118     -4.022      4.023      0.000
  1150        22   gamma               91  1110     0     0     0     0     0     -0.066      0.504    -23.686     23.691      0.000
  1151        22   gamma               91  1115     0     0     0     0     0     -0.081      0.237     -1.227      1.252      0.000
  1152        22   gamma               91  1115     0     0     0     0     0     -0.162      0.338     -2.816      2.841      0.000
  1153       211   pi+                 91  1116     0     0     0     0     0     -0.083     -0.025     -0.333      0.371      0.140
  1154      -211   pi-                 91  1116     0     0     0     0     0      0.035     -0.241     -0.417      0.502      0.140
  1155       111   (pi0)              -91  1116     0  1178  1179     0     0      0.359     -0.260     -1.961      2.015      0.135
  1156        22   gamma               91  1119     0     0     0     0     0     -0.123     -0.106     -0.547      0.571      0.000
  1157        22   gamma               91  1119     0     0     0     0     0     -0.074      0.023     -0.121      0.143      0.000
  1158        22   gamma               91  1122     0     0     0     0     0     -0.088     -0.009     -2.082      2.084      0.000
  1159        22   gamma               91  1122     0     0     0     0     0     -0.071     -0.143     -2.060      2.066      0.000
  1160        22   gamma               91  1124     0     0     0     0     0      0.375     -0.301    -69.359     69.360      0.000
  1161        22   gamma               91  1124     0     0     0     0     0      0.071     -0.116    -29.153     29.153      0.000
  1162        22   gamma               91  1130     0     0     0     0     0      0.151      0.016    -85.555     85.555      0.000
  1163        22   gamma               91  1130     0     0     0     0     0      0.435      0.206   -392.956    392.956      0.000
  1164        22   gamma               91  1132     0     0     0     0     0     -0.350     -0.323    -27.930     27.934      0.000
  1165        22   gamma               91  1132     0     0     0     0     0     -0.072     -0.020     -7.503      7.503      0.000
  1166        22   gamma               91  1134     0     0     0     0     0     -0.126     -0.105     -7.809      7.811      0.000
  1167        22   gamma               91  1134     0     0     0     0     0     -0.002     -0.069     -1.308      1.309      0.000
  1168        22   gamma               91  1136     0     0     0     0     0      0.195     -0.147    -15.809     15.811      0.000
  1169        22   gamma               91  1136     0     0     0     0     0      0.001     -0.088     -4.267      4.268      0.000
  1170        22   gamma               91  1139     0     0     0     0     0     -0.138      0.003     -2.215      2.219      0.000
  1171        22   gamma               91  1139     0     0     0     0     0     -0.016      0.077     -1.791      1.793      0.000
  1172        22   gamma               91  1140     0     0     0     0     0      0.033     -0.054    -28.403     28.403      0.000
  1173        22   gamma               91  1140     0     0     0     0     0     -0.126     -0.342   -133.532    133.533      0.000
  1174        22   gamma               91  1145     0     0     0     0     0      0.361     -0.074   -126.697    126.698      0.000
  1175        22   gamma               91  1145     0     0     0     0     0     -0.004     -0.023     -5.450      5.450      0.000
  1176        22   gamma               91  1148     0     0     0     0     0     -0.099      0.361   -399.501    399.501      0.000
  1177        22   gamma               91  1148     0     0     0     0     0     -0.002      0.016    -83.346     83.346      0.000
  1178        22   gamma               91  1155     0     0     0     0     0      0.113     -0.132     -0.544      0.571      0.000
  1179        22   gamma               91  1155     0     0     0     0     0      0.245     -0.128     -1.417      1.444      0.000
                                   Charge sum:  4.000           Momentum sum:     -0.000      0.000  -7000.000  21000.938  19799.985

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Error in BeamRemnants::setKinematics: kinematics construction failed  
 PYTHIA Warning in MultipartonInteractions::pTnext: weight above unity  
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Warning in MultipartonInteractions::pTnext: weight above unity  
 PYTHIA Error in BeamRemnants::setKinematics: kinematics construction failed  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |         438         60         60 |   1.552e-02  1.115e-03 |
 | g g -> q qbar (uds)                            112 |           5          0          0 |   0.000e+00  0.000e+00 |
 | q g -> q g                                     113 |         394         38         38 |   1.041e-02  9.303e-04 |
 | q q(bar)' -> q q(bar)'                         114 |          42          2          2 |   9.190e-04  1.942e-04 |
 | q qbar -> g g                                  115 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> q' qbar' (uds)                       116 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> c cbar                                  121 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> c cbar                               122 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> b bbar                                  123 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> b bbar                               124 |           0          0          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |         885        100        100 |   2.685e-02  1.465e-03 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | non-diffractive                                101 |         123        123        123 |   5.754e+01  0.000e+00 |
 | A B -> A B elastic                             102 |          55         55         55 |   2.221e+01  1.017e-07 |
 | A B -> X B single diffractive                  103 |          20         20         20 |   6.442e+00  0.000e+00 |
 | A B -> A X single diffractive                  104 |          13         13         13 |   6.442e+00  0.000e+00 |
 | A B -> X X double diffractive                  105 |          18         18         18 |   8.881e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |         229        229        229 |   1.015e+02  1.017e-07 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in BeamRemnants::setKinematics: kinematics construction failed                                   | 
 |      4   Warning in MultipartonInteractions::init: maximum increased                                            | 
 |      3   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | non-diffractive                                101 |          25         25         25 |   2.668e+01  1.168e-07 |
 | A B -> A B elastic                             102 |           4          4          4 |   8.457e+00  0.000e+00 |
 | A B -> X B single diffractive                  103 |           3          3          3 |   4.352e+00  0.000e+00 |
 | A B -> A X single diffractive                  104 |           6          6          6 |   4.352e+00  3.441e-08 |
 | A B -> X X double diffractive                  105 |           4          4          4 |   3.613e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |          42         42         42 |   4.746e+01  1.218e-07 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      3   Warning in MultipartonInteractions::init: maximum increased                                            | 
 |      3   Warning in MultipartonInteractions::pTnext: weight above unity                                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | non-diffractive                                101 |          34         34         34 |   2.668e+01  0.000e+00 |
 | A B -> A B elastic                             102 |          11         11         11 |   8.457e+00  0.000e+00 |
 | A B -> X B single diffractive                  103 |           4          4          4 |   4.352e+00  0.000e+00 |
 | A B -> A X single diffractive                  104 |           4          4          4 |   4.352e+00  0.000e+00 |
 | A B -> X X double diffractive                  105 |           7          7          7 |   3.613e+00  2.253e-08 |
 |                                                    |                                   |                        |
 | sum                                                |          60         60         60 |   4.746e+01  2.253e-08 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      3   Error in BeamRemnants::setKinematics: kinematics construction failed                                   | 
 |      3   Warning in MultipartonInteractions::init: maximum increased                                            | 
 |      1   Warning in MultipartonInteractions::pTnext: weight above unity                                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:06       number of pileup events per signal event

        2.70*10^ 1    X                                                                                                 
        2.60*10^ 1    X                                                                                                 
        2.50*10^ 1    X                                                                                                 
        2.40*10^ 1    X                                                                                                 
        2.30*10^ 1    X                                                                                                 
        2.20*10^ 1   XX                                                                                                 
        2.10*10^ 1   XX                                                                                                 
        2.00*10^ 1   XX                                                                                                 
        1.90*10^ 1   XXX                                                                                                
        1.80*10^ 1   XXX                                                                                                
        1.70*10^ 1   XXX                                                                                                
        1.60*10^ 1   XXX                                                                                                
        1.50*10^ 1   XXX                                                                                                
        1.40*10^ 1   XXX                                                                                                
        1.30*10^ 1   XXX                                                                                                
        1.20*10^ 1   XXX                                                                                                
        1.10*10^ 1  XXXXX                                                                                               
        1.00*10^ 1  XXXXX                                                                                               
        0.90*10^ 1  XXXXX                                                                                               
        0.80*10^ 1  XXXXXX                                                                                              
        0.70*10^ 1  XXXXXX                                                                                              
        0.60*10^ 1  XXXXXX                                                                                              
        0.50*10^ 1  XXXXXX                                                                                              
        0.40*10^ 1  XXXXXX                                                                                              
        0.30*10^ 1  XXXXXX                                                                                              
        0.20*10^ 1  XXXXXXX                                                                                             
        0.10*10^ 1  XXXXXXX                                                                                             

          Contents                                                                                                      
            *10^ 1  1221100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  1279182000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =         100    Mean =  2.2900e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  1.4986e+00    Overflow  =  0.0000e+00    High edge =  9.9500e+01


  2013-09-20 16:06       number of beam A + gas events per signal event

        6.25*10^ 1  8                                                                                                   
        6.00*10^ 1  X                                                                                                   
        5.75*10^ 1  X                                                                                                   
        5.50*10^ 1  X                                                                                                   
        5.25*10^ 1  X                                                                                                   
        5.00*10^ 1  X                                                                                                   
        4.75*10^ 1  X                                                                                                   
        4.50*10^ 1  X                                                                                                   
        4.25*10^ 1  X                                                                                                   
        4.00*10^ 1  X                                                                                                   
        3.75*10^ 1  X                                                                                                   
        3.50*10^ 1  X6                                                                                                  
        3.25*10^ 1  XX                                                                                                  
        3.00*10^ 1  XX                                                                                                  
        2.75*10^ 1  XX                                                                                                  
        2.50*10^ 1  XX                                                                                                  
        2.25*10^ 1  XX                                                                                                  
        2.00*10^ 1  XX                                                                                                  
        1.75*10^ 1  XX                                                                                                  
        1.50*10^ 1  XX                                                                                                  
        1.25*10^ 1  XX                                                                                                  
        1.00*10^ 1  XX                                                                                                  
        0.75*10^ 1  XX                                                                                                  
        0.50*10^ 1  XX6                                                                                                 
        0.25*10^ 1  XXX                                                                                                 

          Contents                                                                                                      
            *10^ 1  6300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  2440000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =         100    Mean =  4.2000e-01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  5.6886e-01    Overflow  =  0.0000e+00    High edge =  9.9500e+01


  2013-09-20 16:06       number of beam B + gas events per signal event

        5.40*10^ 1  5                                                                                                   
        5.20*10^ 1  X                                                                                                   
        5.00*10^ 1  X                                                                                                   
        4.80*10^ 1  X                                                                                                   
        4.60*10^ 1  X                                                                                                   
        4.40*10^ 1  X                                                                                                   
        4.20*10^ 1  X                                                                                                   
        4.00*10^ 1  X                                                                                                   
        3.80*10^ 1  X5                                                                                                  
        3.60*10^ 1  XX                                                                                                  
        3.40*10^ 1  XX                                                                                                  
        3.20*10^ 1  XX                                                                                                  
        3.00*10^ 1  XX                                                                                                  
        2.80*10^ 1  XX                                                                                                  
        2.60*10^ 1  XX                                                                                                  
        2.40*10^ 1  XX                                                                                                  
        2.20*10^ 1  XX                                                                                                  
        2.00*10^ 1  XX                                                                                                  
        1.80*10^ 1  XX                                                                                                  
        1.60*10^ 1  XX                                                                                                  
        1.40*10^ 1  XX                                                                                                  
        1.20*10^ 1  XX                                                                                                  
        1.00*10^ 1  XX                                                                                                  
        0.80*10^ 1  XXX                                                                                                 
        0.60*10^ 1  XXX                                                                                                 
        0.40*10^ 1  XXX                                                                                                 
        0.20*10^ 1  XXX55                                                                                               

          Contents                                                                                                      
            *10^ 1  5300000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  3781100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =         100    Mean =  6.0000e-01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  7.6158e-01    Overflow  =  0.0000e+00    High edge =  9.9500e+01


  2013-09-20 16:06       number of charged multiplicity

        8.10*10^ 0             7                                                                                        
        7.80*10^ 0             X                                                                                        
        7.50*10^ 0             X                                                                                        
        7.20*10^ 0             X                                                                                        
        6.90*10^ 0             X                                                                                        
        6.60*10^ 0             X                                                                                        
        6.30*10^ 0             X                                                                                        
        6.00*10^ 0             X   X   X     X                                                                          
        5.70*10^ 0             X   X   X     X                                                                          
        5.40*10^ 0             X   X   X     X                                                                          
        5.10*10^ 0             X7  X777X     X                                                                          
        4.80*10^ 0             XX  XXXXX     X                                                                          
        4.50*10^ 0             XX  XXXXX     X                                                                          
        4.20*10^ 0           33XX  XXXXX     X 3 3                                                                      
        3.90*10^ 0           XXXX  XXXXX     X X X                                                                      
        3.60*10^ 0           XXXX  XXXXX     X X X                                                                      
        3.30*10^ 0           XXXX  XXXXX     X X X                                                                      
        3.00*10^ 0          XXXXX XXXXXXX X  X X X                                                                      
        2.70*10^ 0          XXXXX XXXXXXX X  X X X                                                                      
        2.40*10^ 0          XXXXX XXXXXXX X  X X X                                                                      
        2.10*10^ 0       7  XXXXX7XXXXXXX X77X7X7X77   7   7                                                            
        1.80*10^ 0       X  XXXXXXXXXXXXX XXXXXXXXXX   X   X                                                            
        1.50*10^ 0       X  XXXXXXXXXXXXX XXXXXXXXXX   X   X                                                            
        1.20*10^ 0       X 3XXXXXXXXXXXXX3XXXXXXXXXX 3 X3  X3     3                                                     
        0.90*10^ 0       X XXXXXXXXXXXXXXXXXXXXXXXXX X XX  XX     X                                                     
        0.60*10^ 0       X XXXXXXXXXXXXXXXXXXXXXXXXX X XX  XX     X                                                     
        0.30*10^ 0       X XXXXXXXXXXXXXXXXXXXXXXXXX X XX  XX     X                                                     

          Contents                                                                                                      
            *10^ 0  0000020134485236555631322624242201021002100000100000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 3  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 2  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^ 1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =         100    Mean =  3.9750e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  1.7230e+02    Overflow  =  0.0000e+00    High edge =  1.9995e+03


  2013-09-20 16:06       total pZ of system

        4.60*10^ 1                                                    5                                                 
        4.40*10^ 1                                                    X                                                 
        4.20*10^ 1                                                    X                                                 
        4.00*10^ 1                                                    X                                                 
        3.80*10^ 1                                                    X                                                 
        3.60*10^ 1                                                    X                                                 
        3.40*10^ 1                                                    X                                                 
        3.20*10^ 1                                                    X                                                 
        3.00*10^ 1                                                    X                                                 
        2.80*10^ 1                                                    X                                                 
        2.60*10^ 1                                                    X                                                 
        2.40*10^ 1                                                5   X  X                                              
        2.20*10^ 1                                                X   X  X                                              
        2.00*10^ 1                                                X   X  X                                              
        1.80*10^ 1                                                X   X  X                                              
        1.60*10^ 1                                                X   X  X                                              
        1.40*10^ 1                                                X   X  X                                              
        1.20*10^ 1                                                X   X  X                                              
        1.00*10^ 1                                                X   X  X                                              
        0.80*10^ 1                                                X   X  X                                              
        0.60*10^ 1                                             X  X   X  X                                              
        0.40*10^ 1                                             X  X   X  X                                              
        0.20*10^ 1                                      5  5   X  X   X  X                                              

          Contents                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000200040020000000000000000000000000000000000000000000000
            *10^ 0  0000000000000000000000000000000000001001000600300050040000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 5  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 4  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^ 3  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =         100    Mean = -7.4000e+02    Underflow =  0.0000e+00    Low edge  = -1.0000e+05
   All chan =  1.0000e+02    Rms  =  6.6912e+03    Overflow  =  0.0000e+00    High edge =  1.0000e+05
pythia8-8.1.86.orig/examples/outref/out260000644000175000017500000116440712357054720016405 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:07:55    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

 PYTHIA Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated  

 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> G g                                    5021 |   1.796e-10 |
 | q g -> G q                                    5022 |   5.141e-10 |
 | q qbar -> G g                                 5023 |   2.501e-10 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  270.80 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | ExtraDimensionsLED:CutOffMode                 |                        3 |            0           0           3 | 
 | ExtraDimensionsLED:MD                         |                 4000.000 |     2000.000   100.00000             | 
 | ExtraDimensionsLED:monojet                    |                       on |          off                         | 
 | ExtraDimensionsLED:n                          |                        4 |            2           1             | 
 | ExtraDimensionsLED:t                          |                  2.00000 |      1.00000   0.0010000             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | ParticleDecays:sophisticatedTau               |                        0 |            1           0           3 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                700.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 5000039  Graviton                            5   0   0  2.500e+03  1.500e+03  1.000e+00  1.399e+04  0.00000e+00   0   0   0   0   0

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =    1, x =  3.686e-01, pdf =  6.707e-02 at Q2 =  7.158e+05.
 In 2: id =   -1, x =  1.685e-01, pdf =  4.734e-02 at same Q2.

 Subprocess q qbar -> G g with code 5023 is 2 -> 2.
 It has sHat =  1.217e+07,    tHat = -8.411e+06,    uHat = -1.036e+06,
       pTHat =  8.460e+02,   m3Hat =  1.651e+03,   m4Hat =  0.000e+00,
    thetaHat =  2.467e+00,  phiHat =  2.377e+00.
     alphaEM =  8.057e-03,  alphaS =  9.622e-02    at Q2 =  1.569e+06.

 Impact parameter b =  4.834e-01 gives enhancement factor =  2.422e+00.
 Max pT scale for MPI =  1.400e+04, ISR =  8.460e+02, FSR =  8.460e+02.
 Number of MPI =     9, ISR =    22, FSRproc =   200, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3         1   (d)                -21     1     0     5     6   101     0      0.000      0.000   2580.068   2580.068      0.000
     4        -1   (dbar)             -21     2     0     5     6     0   102      0.000      0.000  -1179.348   1179.348      0.000
     5   5000039   Graviton            23     3     4     0     0     0     0   -610.695    585.530   -281.876   1876.088   1650.593
     6        21   g                   23     3     4     0     0   101   102    610.695   -585.530   1682.596   1883.328      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000   1400.720   3759.416   3488.724

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0   860     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0   861     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3         1   (d)                -21     7     0     5     6   101     0      0.000      0.000   2580.068   2580.068      0.000
     4        -1   (dbar)             -21     8     8     5     6     0   102      0.000      0.000  -1179.348   1179.348      0.000
     5   5000039   (Graviton)         -23     3     4     9     9     0     0   -610.695    585.530   -281.876   1876.088   1650.593
     6        21   (g)                -23     3     4    10    10   101   102    610.695   -585.530   1682.596   1883.328      0.000
     7         1   (d)                -41    12    12    11     3   103     0     -0.000     -0.000   2981.578   2981.578      0.000
     8        -1   (dbar)             -42    13     0     4     4     0   102      0.000      0.000  -1179.348   1179.348      0.000
     9   5000039   (Graviton)         -44     5     5    14    14     0     0   -607.453    618.803   -279.100   1885.277   1650.593
    10        21   (g)                -44     6     6    15    15   101   102    617.948   -511.105   1706.846   1885.845      0.000
    11        21   (g)                -43     7     0    16    16   103   101    -10.496   -107.698    374.484    389.804      0.000
    12         1   (d)                -42    26    26     7     7   103     0      0.000      0.000   2981.578   2981.578      0.000
    13        -1   (dbar)             -41    43    43    17     8     0   104     -0.000     -0.000  -1339.277   1339.277      0.000
    14   5000039   (Graviton)         -44     9     9    44    44     0     0   -626.138    604.368   -278.600   1886.633   1650.593
    15        21   (g)                -44    10    10    18    19   101   102    616.403   -512.299   1704.186   1883.256      0.000
    16        21   (g)                -44    11    11    24    25   103   101    -10.628   -107.800    375.139    390.466      0.000
    17        21   (g)                -43    13     0    20    20   102   104     20.363     15.732   -158.425    160.501      0.000
    18        21   (g)                -51    15     0    29    29   101   105    463.317   -369.882   1309.856   1437.775      0.000
    19        21   (g)                -51    15     0    23    23   105   102    153.144   -142.372    393.877    445.940      0.000
    20        21   (g)                -52    17    17    21    22   102   104     20.305     15.687   -157.972    160.042      0.000
    21        21   (g)                -51    20     0    47    47   106   104    -12.853    -12.784    -18.153     25.655      0.000
    22        21   (g)                -51    20     0    32    32   102   106     35.441     26.348   -133.945    141.037      0.000
    23        21   (g)                -52    19    19    30    31   105   102    150.860   -140.249    388.003    439.289      0.000
    24        21   (g)                -51    16     0    27    28   107   101     10.372    -81.759    267.502    279.910      0.000
    25        21   (g)                -51    16     0    36    37   103   107    -21.000    -26.041    190.276    193.194      0.000
    26         1   (d)                -53    38    38    12    12   103     0      0.000      0.000   3064.216   3064.216      0.000
    27        21   (g)                -51    24     0    41    41   107   108     28.405    -49.427    106.406    120.715      0.000
    28        21   (g)                -51    24     0    51    51   108   101     14.104    -57.988    251.951    258.922      0.000
    29        21   (g)                -52    18    18    45    45   101   105    431.181   -344.226   1219.001   1338.048      0.000
    30        21   (g)                -51    23     0    35    35   105   109    151.562   -129.253    382.776    431.503      0.000
    31        21   (g)                -51    23     0    33    34   109   102      0.037    -10.447      2.435     10.727      0.000
    32        21   (g)                -52    22    22    49    49   102   106     34.703     25.799   -131.152    138.097      0.000
    33        -4   (cbar)             -51    31     0    52    52     0   102     20.253    -26.121     28.015     43.355      1.500
    34         4   (c)                -51    31     0    53    53   109     0      3.052     -4.169     33.185     33.619      1.500
    35        21   (g)                -52    30    30    48    48   105   109    128.294   -109.410    324.010    365.256      0.000
    36        21   (g)                -51    25     0    39    40   110   107      5.786     -7.910     74.474     75.116      0.000
    37        21   (g)                -51    25     0    54    54   103   110    -26.787    -18.131    228.664    230.940      0.000
    38         1   (d)                -53    42     0    26    26   103     0      0.000      0.000   3177.078   3177.078      0.000
    39        21   (g)                -51    36     0    50    50   110   111     12.895     -3.410     56.861     58.405      0.000
    40        21   (g)                -51    36     0    55    55   111   107      4.662    -24.982     61.706     66.735      0.000
    41        21   (g)                -52    27    27    46    46   107   108     16.634    -28.945     62.312     70.691      0.000
    42         1   (d)                -41   146   146    56    38   112     0     -0.000     -0.000   3371.702   3371.702      0.000
    43        -1   (dbar)             -42   147     0    13    13     0   104     -0.000     -0.000  -1339.277   1339.277      0.000
    44   5000039   (Graviton)         -44    14    14   148   148     0     0   -626.607    602.157   -277.799   1885.963   1650.593
    45        21   (g)                -44    29    29    92    92   101   105    430.436   -347.741   1218.760   1338.497      0.000
    46        21   (g)                -44    41    41    59    59   107   108     16.595    -29.128     62.282     70.731      0.000
    47        21   (g)                -44    21    21    93    94   106   104    -12.855    -12.794    -18.173     25.675      0.000
    48        21   (g)                -44    35    35    90    91   105   109    128.093   -110.357    323.926    365.396      0.000
    49        21   (g)                -44    32    32    82    83   102   106     34.700     25.789   -131.095    138.041      0.000
    50        21   (g)                -44    39    39   111   111   110   111     12.862     -3.569     56.865     58.411      0.000
    51        21   (g)                -44    28    28    57    58   108   101     13.955    -58.690    251.896    259.019      0.000
    52        -4   (cbar)             -44    33    33    84    84     0   102     20.232    -26.219     27.989     43.387      1.500
    53         4   (c)                -44    34    34   157   157   109     0      3.033     -4.261     33.183     33.626      1.500
    54        21   (g)                -44    37    37    64    65   103   110    -26.920    -18.763    228.649    230.992      0.000
    55        21   (g)                -44    40    40   109   110   111   107      4.625    -25.158     61.679     66.773      0.000
    56        21   (g)                -43    42     0    66    66   112   103      1.851      8.736    194.263    194.468      0.000
    57        21   (g)                -51    51     0   112   113   113   101      1.364     -7.211     56.913     57.384      0.000
    58        21   (g)                -51    51     0   114   114   108   113     16.044    -57.540    207.942    216.352      0.000
    59        21   (g)                -52    46    46   150   150   107   108     13.142    -23.067     49.323     56.014      0.000
    60        21   (g)                -31    71     0    62    63   115   114      0.000      0.000      6.942      6.942      0.000
    61        21   (g)                -31    72    72    62    63   117   116      0.000      0.000    -14.371     14.371      0.000
    62        21   (g)                -33    60    61    73    73   117   114      3.780      5.992      3.797      8.038      0.000
    63        21   (g)                -33    60    61    74    74   115   116     -3.780     -5.992    -11.226     13.274      0.000
    64        21   (g)                -51    54     0   158   158   118   110    -25.099    -20.273    238.505    240.677      0.000
    65        21   (g)                -51    54     0   162   162   103   118     -1.433      3.341     30.870     31.083      0.000
    66        21   (g)                -52    56    56   160   160   112   103      1.463      6.905    153.538    153.700      0.000
    67        21   (g)                -31    85    85    69    70   120   119      0.000      0.000      1.583      1.583      0.000
    68        21   (g)                -31    86     0    69    70   122   121      0.000      0.000    -32.892     32.892      0.000
    69        21   (g)                -33    67    68    87    87   122   119     -6.269     -1.586    -23.302     24.183      0.000
    70        21   (g)                -33    67    68    88    88   120   121      6.269      1.586     -8.007     10.292      0.000
    71        21   (g)                -41    76    76    75    60   123   114     -0.000      0.000     13.650     13.650      0.000
    72        21   (g)                -42    77     0    61    61   117   116      0.000      0.000    -14.371     14.371      0.000
    73        21   (g)                -44    62    62    78    78   117   114      5.317     10.324      2.183     11.816      0.000
    74        21   (g)                -44    63    63    79    79   115   116     -3.514     -5.242     -7.006      9.430      0.000
    75        21   (g)                -43    71     0    80    80   123   115     -1.803     -5.081      4.103      6.775      0.000
    76        21   (g)                -42   120     0    71    71   123   114      0.000     -0.000     13.650     13.650      0.000
    77        21   (g)                -41   121   121    81    72   124   116     -0.000      0.000    -19.189     19.189      0.000
    78        21   (g)                -44    73    73   122   122   117   114      6.663     10.299      1.333     12.338      0.000
    79        21   (g)                -44    74    74   123   123   115   116     -1.217     -5.285     -8.606     10.173      0.000
    80        21   (g)                -44    75    75   124   124   123   115     -1.429     -5.088      3.048      6.101      0.000
    81        21   (g)                -43    77     0   125   125   124   117     -4.017      0.075     -1.314      4.227      0.000
    82        21   (g)                -51    49     0    95    95   125   106     19.010     20.152    -84.444     88.873      0.000
    83        21   (g)                -51    49     0   143   144   102   125     15.804      5.489    -46.493     49.412      0.000
    84        -4   (cbar)             -52    52    52   145   145     0   102     20.119    -26.072     27.831     43.143      1.500
    85        21   (g)                -42   129   129    67    67   120   119     -0.000      0.000      1.583      1.583      0.000
    86        21   (g)                -41   216     0    89    68   122   126      0.000     -0.000    -43.571     43.571      0.000
    87        21   (g)                -44    69    69   127   128   122   119     -7.083     -0.887    -29.807     30.650      0.000
    88        21   (g)                -44    70    70   218   218   120   121      5.955      1.856    -10.815     12.485      0.000
    89        21   (g)                -43    86     0   219   219   121   126      1.128     -0.969     -1.366      2.019      0.000
    90        21   (g)                -51    48     0   152   152   127   109     87.525    -78.698    223.108    252.252      0.000
    91        21   (g)                -51    48     0   164   164   105   127     63.820    -50.444    166.656    185.450      0.000
    92        21   (g)                -52    45    45   149   149   101   105    407.183   -328.956   1152.922   1266.191      0.000
    93        -2   (ubar)             -51    47     0   151   151     0   104    -13.174     -8.863    -16.827     23.138      0.330
    94         2   (u)                -51    47     0   132   132   106     0      0.886     -3.330     -3.866      5.190      0.330
    95        21   (g)                -52    82    82   130   131   125   106     18.442     19.551    -81.924     86.220      0.000
    96        21   (g)                -31   104     0    98    99   129   128      0.000      0.000    299.966    299.966      0.000
    97        21   (g)                -31   105   105    98    99   130   129      0.000      0.000     -0.608      0.608      0.000
    98        21   (g)                -33    96    97   106   106   131   128      2.245      1.936    296.299    296.314      0.000
    99        21   (g)                -33    96    97   107   107   130   131     -2.245     -1.936      3.058      4.259      0.000
   100        21   (g)                -31   115   115   102   103   132   133      0.000      0.000     20.193     20.193      0.000
   101        21   (g)                -31   116     0   102   103   133   134      0.000      0.000     -0.438      0.438      0.000
   102        21   (g)                -33   100   101   117   117   132   135      2.020      2.040     12.582     12.905      0.000
   103        21   (g)                -33   100   101   118   118   135   134     -2.020     -2.040      7.173      7.726      0.000
   104        21   (g)                -41   245   245   108    96   136   128     -0.000      0.000    345.858    345.858      0.000
   105        21   (g)                -42   246     0    97    97   130   129      0.000     -0.000     -0.608      0.608      0.000
   106        21   (g)                -44    98    98   142   142   131   128      3.792      0.835    319.986    320.010      0.000
   107        21   (g)                -44    99    99   140   141   130   131     -2.226     -1.950      3.397      4.505      0.000
   108        21   (g)                -43   104     0   249   249   136   129     -1.566      1.115     21.866     21.950      0.000
   109        21   (g)                -51    55     0   159   159   137   107      3.627     -7.493     27.941     29.154      0.000
   110        21   (g)                -51    55     0   166   166   111   137      2.145    -17.984     38.809     42.827      0.000
   111        21   (g)                -52    50    50   154   154   110   111     11.715     -3.251     51.795     53.202      0.000
   112        21   (g)                -51    57     0   155   155   138   101     -0.445      0.247      5.705      5.728      0.000
   113        21   (g)                -51    57     0   167   167   113   138      3.279    -12.729     70.259     71.478      0.000
   114        21   (g)                -52    58    58   161   161   108   113     14.574    -52.268    188.891    196.531      0.000
   115        21   (g)                -42   209   209   100   100   132   133     -0.000     -0.000     20.193     20.193      0.000
   116        21   (g)                -41   210     0   119   101   133   139      0.000      0.000     -1.044      1.044      0.000
   117        21   (g)                -44   102   102   211   211   132   135      2.765      2.385     15.507     15.931      0.000
   118        21   (g)                -44   103   103   212   212   135   134     -0.745     -1.451      1.470      2.195      0.000
   119        21   (g)                -43   116     0   213   213   134   139     -2.020     -0.934      2.172      3.110      0.000
   120        -1   (dbar)             -41   364   364   126    76     0   114     -0.000     -0.000    174.635    174.635      0.000
   121        21   (g)                -42   699   699    77    77   124   116     -0.000     -0.000    -19.189     19.189      0.000
   122        21   (g)                -44    78    78   171   172   117   114      7.780     10.806      0.434     13.322      0.000
   123        21   (g)                -44    79    79   202   202   115   116     -1.089     -5.227     -8.256      9.832      0.000
   124        21   (g)                -44    80    80   133   134   123   115     -0.681     -4.749      3.353      5.853      0.000
   125        21   (g)                -44    81    81   173   173   124   117     -3.779      0.183     -0.976      3.908      0.000
   126        -1   (dbar)             -43   120     0   135   135     0   123     -2.231     -1.012    160.890    160.909      0.330
   127         4   (c)                -51    87     0   217   217   122     0     -3.733     -0.147    -22.922     23.273      1.500
   128        -4   (cbar)             -51    87     0   220   220     0   119     -3.350     -0.740     -6.640      7.623      1.500
   129        21   (g)                -53   215   215    85    85   120   119     -0.000      0.000      1.828      1.828      0.000
   130        21   (g)                -51    95     0   153   153   125   140     18.500     16.980    -74.150     78.287      0.000
   131        21   (g)                -51    95     0   168   168   140   106      0.034      2.223     -8.171      8.468      0.000
   132         2   (u)                -52    94    94   165   165   106     0      0.795     -2.982     -3.469      4.655      0.330
   133        21   (g)                -51   124     0   200   201   141   115     -0.675     -2.569     11.687     11.985      0.000
   134        21   (g)                -51   124     0   188   189   123   141     -0.123     -2.232      0.033      2.236      0.000
   135        -1   (dbar)             -52   126   126   190   190     0   123     -2.115     -0.960    152.523    152.541      0.330
   136        21   (g)                -31   180   180   138   139   142   143      0.000      0.000      0.201      0.201      0.000
   137        21   (g)                -31   181     0   138   139   143   144      0.000      0.000    -63.186     63.186      0.000
   138        21   (g)                -33   136   137   182   182   142   145      2.001      0.973     -6.725      7.084      0.000
   139        21   (g)                -33   136   137   183   183   145   144     -2.001     -0.973    -56.260     56.304      0.000
   140        21   (g)                -51   107     0   176   176   130   146     -3.403     -0.416      6.445      7.300      0.000
   141        21   (g)                -51   107     0   174   175   146   131      1.305     -1.506      7.698      7.952      0.000
   142        21   (g)                -52   106   106   177   178   131   128      3.664      0.807    309.241    309.264      0.000
   143        21   (g)                -51    83     0   163   163   147   125     16.693      5.177    -46.449     49.628      0.000
   144        21   (g)                -51    83     0   169   169   102   147     -0.416     -0.302      0.612      0.799      0.000
   145        -4   (cbar)             -52    84    84   156   156     0   102     19.645    -25.458     27.175     42.128      1.500
   146         1   (d)                -42   382     0    42    42   112     0     -0.000      0.000   3371.702   3371.702      0.000
   147        -1   (dbar)             -41   383   383   170    43     0   148      0.000     -0.000  -1404.407   1404.407      0.000
   148   5000039   (Graviton)         -44    44    44   384   384     0     0   -627.613    603.420   -277.165   1886.608   1650.593
   149        21   (g)                -44    92    92   194   195   101   105    407.131   -328.890   1152.534   1265.804      0.000
   150        21   (g)                -44    59    59   222   223   107   108     13.139    -23.063     49.303     55.994      0.000
   151        -2   (ubar)             -44    93    93   205   205     0   104    -13.193     -8.840    -16.826     23.139      0.330
   152        21   (g)                -44    90    90   260   261   127   109     87.511    -78.681    223.020    252.165      0.000
   153        21   (g)                -44   130   130   359   360   125   140     18.429     17.069    -74.149     78.289      0.000
   154        21   (g)                -44   111   111   292   293   110   111     11.714     -3.250     51.787     53.195      0.000
   155        21   (g)                -44   112   112   197   198   138   101     -0.445      0.247      5.705      5.728      0.000
   156        -4   (cbar)             -44   145   145   324   325     0   102     19.638    -25.449     27.151     42.104      1.500
   157         4   (c)                -44    53    53   262   262   109     0      3.033     -4.261     33.179     33.622      1.500
   158        21   (g)                -44    64    64   185   186   118   110    -25.100    -20.271    238.504    240.676      0.000
   159        21   (g)                -44   109   109   395   395   137   107      3.626     -7.492     27.934     29.148      0.000
   160        21   (g)                -44    66    66   208   208   112   103      1.463      6.905    153.540    153.703      0.000
   161        21   (g)                -44   114   114   224   224   108   113     14.571    -52.264    188.853    196.492      0.000
   162        21   (g)                -44    65    65   187   187   103   118     -1.433      3.341     30.872     31.085      0.000
   163        21   (g)                -44   143   143   191   192   147   125     16.649      5.233    -46.454     49.624      0.000
   164        21   (g)                -44    91    91   196   196   105   127     63.812    -50.433    166.595    185.390      0.000
   165         2   (u)                -44   132   132   268   268   106     0      0.792     -2.977     -3.471      4.653      0.330
   166        21   (g)                -44   110   110   294   294   111   137      2.143    -17.982     38.797     42.815      0.000
   167        21   (g)                -44   113   113   403   403   113   138      3.279    -12.728     70.250     71.469      0.000
   168        21   (g)                -44   131   131   266   267   140   106      0.026      2.233     -8.169      8.469      0.000
   169        21   (g)                -44   144   144   193   193   102   147     -0.416     -0.302      0.612      0.799      0.000
   170        21   (g)                -43   147     0   203   204   104   148      1.246     -1.564    -65.108     65.139      0.000
   171        21   (g)                -51   122     0   310   311   149   114      5.046     10.056     -0.448     11.260      0.000
   172        21   (g)                -51   122     0   312   312   117   149      2.283      0.771      0.765      2.529      0.000
   173        21   (g)                -52   125   125   428   429   124   117     -3.328      0.161     -0.859      3.441      0.000
   174        21   (g)                -51   141     0   179   179   150   131     -0.388     -1.135     11.788     11.849      0.000
   175        21   (g)                -51   141     0   251   251   146   150     -0.506     -0.640      0.074      0.819      0.000
   176        21   (g)                -52   140   140   248   248   130   146     -1.204     -0.147      2.280      2.583      0.000
   177        21   (g)                -51   142     0   247   247   151   128     -0.766      0.577     82.628     82.634      0.000
   178        21   (g)                -51   142     0   252   252   131   151      4.286     -0.193    230.998    231.038      0.000
   179        21   (g)                -52   174   174   250   250   150   131     -0.244     -0.713      7.403      7.441      0.000
   180        21   (g)                -42   275     0   136   136   142   143     -0.000      0.000      0.201      0.201      0.000
   181         1   (d)                -41   276   276   184   137   143     0      0.000     -0.000   -107.570    107.570      0.000
   182        21   (g)                -44   138   138   274   274   142   145      1.891      1.106     -7.864      8.164      0.000
   183        21   (g)                -44   139   139   240   240   145   144     -2.903      0.119    -65.293     65.358      0.000
   184         1   (d)                -43   181     0   238   239   144     0      1.012     -1.225    -34.211     34.250      0.330
   185        -3   (sbar)             -51   158     0   358   358     0   110    -17.963    -16.460    176.956    178.626      0.500
   186         3   (s)                -51   158     0   407   407   118     0     -7.220     -3.617     63.343     63.857      0.500
   187        21   (g)                -52   162   162   206   207   103   118     -1.350      3.147     29.077     29.278      0.000
   188        21   (g)                -51   134     0   265   265   152   141     -1.288     -1.711      0.023      2.142      0.000
   189        21   (g)                -51   134     0   263   264   123   152      1.050     -0.574      8.348      8.433      0.000
   190        -1   (dbar)             -52   135   135   271   271     0   123     -1.999     -0.907    144.186    144.203      0.330
   191        21   (g)                -51   163     0   259   259   153   125     15.259      5.712    -44.497     47.386      0.000
   192        21   (g)                -51   163     0   257   258   147   153      1.330     -0.522     -1.869      2.352      0.000
   193        21   (g)                -52   169   169   326   326   102   147     -0.356     -0.259      0.524      0.684      0.000
   194         4   (c)                -51   149     0   199   199   101     0     90.636    -72.470    252.566    277.954      1.500
   195        -4   (cbar)             -51   149     0   409   409     0   105    324.069   -262.407    919.743   1009.855      1.500
   196        21   (g)                -52   164   164   288   288   105   127     56.238    -44.447    146.822    163.386      0.000
   197        21   (g)                -51   155     0   391   391   138   154     -0.961     -0.801      4.916      5.073      0.000
   198        21   (g)                -51   155     0   410   410   154   101      6.448     -3.695     17.315     18.842      0.000
   199         4   (c)                -52   194   194   385   385   101     0     84.703    -67.727    236.040    259.767      1.500
   200        21   (g)                -51   133     0   504   504   141   155     -0.003      0.946      2.302      2.489      0.000
   201        21   (g)                -51   133     0   231   231   155   115     -0.710     -3.699      9.093      9.843      0.000
   202        21   (g)                -52   123   123   229   230   115   116     -1.050     -5.043     -7.965      9.485      0.000
   203        21   (g)                -51   170     0   406   406   156   148     -0.620     -1.547    -54.239     54.264      0.000
   204        21   (g)                -51   170     0   343   344   104   156      1.628     -0.177    -11.173     11.293      0.000
   205        -2   (ubar)             -52   151   151   345   345     0   104    -12.954     -8.680    -16.522     22.720      0.330
   206        21   (g)                -51   187     0   398   398   157   118     -0.804      0.955      6.468      6.587      0.000
   207        21   (g)                -51   187     0   412   412   103   157      0.005      4.792     80.433     80.576      0.000
   208        21   (g)                -52   160   160   396   396   112   103      0.912      4.304     95.716     95.817      0.000
   209        21   (g)                -42   234   234   115   115   132   133     -0.000     -0.000     20.193     20.193      0.000
   210        21   (g)                -41   314     0   214   116   158   139      0.000      0.000     -4.478      4.478      0.000
   211        21   (g)                -44   117   117   232   233   132   135      2.910      2.672     17.484     17.925      0.000
   212        21   (g)                -44   118   118   316   316   135   134     -0.497     -0.960      0.398      1.152      0.000
   213        21   (g)                -44   119   119   317   317   134   139     -1.700     -0.300      1.041      2.016      0.000
   214        21   (g)                -43   210     0   318   318   158   133     -0.713     -1.411     -3.209      3.577      0.000
   215        21   (g)                -42   642   642   129   129   120   119      0.000     -0.000      1.828      1.828      0.000
   216        21   (g)                -41   684   684   221    86   122   159     -0.000      0.000    -58.114     58.114      0.000
   217         4   (c)                -44   127   127  1012  1012   122     0     -4.503      0.073    -23.591     24.064      1.500
   218        21   (g)                -44    88    88   256   256   120   121      5.567      1.967    -11.293     12.743      0.000
   219        21   (g)                -44    89    89   254   255   121   126      1.071     -0.953     -1.452      2.041      0.000
   220        -4   (cbar)             -44   128   128  1015  1015     0   119     -3.588     -0.672     -6.827      7.886      1.500
   221        21   (g)                -43   216     0   571   572   126   159      1.453     -0.415    -13.122     13.208      0.000
   222        21   (g)                -51   150     0   285   285   107   160      3.826     -7.202     12.700     15.093      0.000
   223        21   (g)                -51   150     0   283   284   160   108      9.550    -16.711     39.676     44.098      0.000
   224        21   (g)                -52   161   161   397   397   108   113     14.333    -51.413    185.780    193.295      0.000
   225        -2   (ubar)             -31  1098  1098   227   228     0   161      0.000      0.000      1.157      1.157      0.000
   226        21   (g)                -31  1099  1099   227   228   161   162      0.000      0.000    -19.687     19.687      0.000
   227        -2   (ubar)             -33   225   226   561   561     0   163      1.509      0.210      0.587      1.666      0.330
   228        21   (g)                -33   225   226   559   560   163   162     -1.509     -0.210    -19.118     19.178      0.000
   229        21   (g)                -51   202     0   340   341   164   116     -0.175     -4.944     -5.073      7.085      0.000
   230        21   (g)                -51   202     0   235   236   115   164     -0.900     -0.227     -2.578      2.740      0.000
   231        21   (g)                -52   201   201   237   237   155   115     -0.686     -3.572      8.779      9.503      0.000
   232        21   (g)                -51   211     0   315   315   166   135      3.329      1.456     18.851     19.198      0.000
   233        21   (g)                -51   211     0   319   319   132   166     -0.419      1.216      8.780      8.874      0.000
   234        21   (g)                -53   313   313   209   209   132   133     -0.000     -0.000     30.339     30.339      0.000
   235        21   (g)                -51   230     0   331   332   167   164     -0.883     -1.491     -2.215      2.812      0.000
   236        21   (g)                -51   230     0   333   333   115   167     -0.101      0.824      0.719      1.098      0.000
   237        21   (g)                -52   231   231   576   576   155   115     -0.601     -3.132      7.697      8.332      0.000
   238         1   (d)                -51   184     0   279   279   169     0      0.010     -1.400    -64.098     64.115      0.330
   239        21   (g)                -51   184     0   280   280   144   169     -0.420      0.232     -2.107      2.161      0.000
   240        21   (g)                -52   183   183   272   273   145   144     -1.480      0.061    -33.300     33.333      0.000
   241        21   (g)                -31   531   531   243   244   170   171      0.000      0.000      4.497      4.497      0.000
   242        21   (g)                -31   854   854   243   244   172   173      0.000      0.000    -64.227     64.227      0.000
   243        21   (g)                -33   241   242   529   530   170   173      1.149     -0.629    -64.125     64.138      0.000
   244        21   (g)                -33   241   242   856   856   172   171     -1.149      0.629      4.395      4.586      0.000
   245        21   (g)                -42   443     0   104   104   136   128      0.000      0.000    345.858    345.858      0.000
   246         1   (d)                -41   444   444   253   105   130     0     -0.000     -0.000     -2.465      2.465      0.000
   247        21   (g)                -44   177   177   445   445   151   128     -0.771      0.576     83.068     83.074      0.000
   248        21   (g)                -44   176   176   446   446   130   146     -1.513     -0.214      3.694      3.997      0.000
   249        21   (g)                -44   108   108   289   290   136   129     -1.651      1.097     23.198     23.283      0.000
   250        21   (g)                -44   179   179   448   448   150   131     -0.283     -0.721      7.810      7.849      0.000
   251        21   (g)                -44   175   175   449   449   146   150     -1.265     -0.806      1.132      1.879      0.000
   252        21   (g)                -44   178   178   450   450   131   151      4.245     -0.202    226.115    226.155      0.000
   253         1   (d)                -43   246     0   291   291   129     0      1.238      0.270     -1.624      2.086      0.330
   254        21   (g)                -51   219     0   440   441   174   126      2.035      0.291     -6.201      6.533      0.000
   255        21   (g)                -51   219     0   442   442   121   174      2.253     -0.107     -1.777      2.871      0.000
   256        21   (g)                -52   218   218   640   641   120   121      2.350      0.830     -4.767      5.379      0.000
   257        21   (g)                -51   192     0   408   408   147   175      4.628      1.723    -14.523     15.340      0.000
   258        21   (g)                -51   192     0   414   414   175   153      1.910     -0.296     -2.535      3.188      0.000
   259        21   (g)                -52   191   191   361   361   153   125     10.051      3.762    -29.308     31.211      0.000
   260        21   (g)                -51   152     0   286   287   127   176     23.076    -20.445     56.027     63.949      0.000
   261        21   (g)                -51   152     0   295   296   176   109     64.454    -58.265    167.234    188.458      0.000
   262         4   (c)                -52   157   157   297   297   109     0      3.013     -4.232     32.939     33.380      1.500
   263        21   (g)                -51   189     0   269   270   123   177      1.649     -1.024      7.022      7.285      0.000
   264        21   (g)                -51   189     0   974   974   177   152     -0.865      0.097      1.331      1.590      0.000
   265        21   (g)                -52   188   188   502   503   152   141     -1.022     -1.358      0.018      1.700      0.000
   266        21   (g)                -51   168     0   404   404   140   178      1.031      1.354     -3.388      3.792      0.000
   267        21   (g)                -51   168     0   416   416   178   106     -0.878      0.397     -5.331      5.418      0.000
   268         2   (u)                -52   165   165   401   401   106     0      0.664     -2.495     -2.921      3.913      0.330
   269        -3   (sbar)             -51   263     0   970   970     0   177      0.171      0.363      1.523      1.652      0.500
   270         3   (s)                -51   263     0   456   456   123     0      1.342     -1.448     15.307     15.442      0.500
   271        -1   (dbar)             -52   190   190   454   455     0   123     -1.863     -0.846    134.378    134.394      0.330
   272        21   (g)                -51   240     0   278   278   179   144     -1.475     -0.083    -12.083     12.173      0.000
   273        21   (g)                -51   240     0   281   281   145   179      0.396      0.378    -22.886     22.893      0.000
   274        21   (g)                -52   182   182   277   277   142   145      1.489      0.872     -6.195      6.430      0.000
   275        21   (g)                -41   301     0   282   180   180   143      0.000      0.000      0.908      0.908      0.000
   276         1   (d)                -42   302   302   181   181   143     0     -0.000     -0.000   -107.570    107.570      0.000
   277        21   (g)                -44   274   274   303   303   142   145      1.031      0.376     -2.386      2.626      0.000
   278        21   (g)                -44   272   272   304   304   179   144     -1.649     -0.272    -15.186     15.277      0.000
   279         1   (d)                -44   238   238   305   305   169     0     -0.021     -1.433    -65.784     65.800      0.330
   280        21   (g)                -44   239   239   306   306   144   169     -0.525      0.119     -2.602      2.657      0.000
   281        21   (g)                -44   273   273   307   307   145   179      0.383      0.365    -20.936     20.943      0.000
   282        21   (g)                -43   275     0   308   308   180   142      0.781      0.846      0.231      1.174      0.000
   283        21   (g)                -51   223     0   413   413   182   108      4.534     -9.815     22.762     25.199      0.000
   284        21   (g)                -51   223     0   417   417   160   182      6.995    -10.621     23.481     26.704      0.000
   285        21   (g)                -52   222   222   386   386   107   160      1.848     -3.478      6.133      7.289      0.000
   286        21   (g)                -51   260     0   334   335   183   176     29.984    -26.527     74.709     84.759      0.000
   287        21   (g)                -51   260     0   336   336   127   183      4.299     -2.775     10.575     11.748      0.000
   288        21   (g)                -52   196   196   400   400   105   127     45.031    -35.590    117.565    130.828      0.000
   289         2   (u)                -51   249     0   447   447   136     0     -2.091      0.454     21.119     21.229      0.330
   290        -2   (ubar)             -51   249     0   452   452     0   129      0.513      0.658      1.982      2.175      0.330
   291         1   (d)                -52   253   253   451   451   129     0      1.165      0.254     -1.526      1.965      0.330
   292        21   (g)                -51   154     0   356   357   110   186     11.689     -4.173     52.604     54.048      0.000
   293        21   (g)                -51   154     0   419   419   186   111      0.098      0.315      0.497      0.596      0.000
   294        21   (g)                -52   166   166   402   402   111   137      2.070    -17.373     37.483     41.365      0.000
   295        21   (g)                -51   261     0   300   300   176   187     63.849    -58.331    166.835    187.918      0.000
   296        21   (g)                -51   261     0   298   299   187   109      0.698     -0.073      1.547      1.699      0.000
   297         4   (c)                -52   262   262   393   393   109     0      2.920     -4.093     31.791     32.221      1.500
   298        21   (g)                -51   296     0   420   420   188   109      1.151     -0.997      4.582      4.829      0.000
   299        21   (g)                -51   296     0   421   421   187   188     14.047    -12.322     34.851     39.544      0.000
   300        21   (g)                -52   295   295   415   415   176   187     49.350    -45.085    128.949    145.244      0.000
   301        21   (g)                -41   346     0   309   275   189   143     -0.000     -0.000    354.596    354.596      0.000
   302         1   (d)                -42   347   347   276   276   143     0      0.000      0.000   -107.570    107.570      0.000
   303        21   (g)                -44   277   277   348   348   142   145      0.966      0.260     -1.957      2.198      0.000
   304        21   (g)                -44   278   278   349   349   179   144     -1.674     -0.316    -15.735     15.827      0.000
   305         1   (d)                -44   279   279   350   350   169     0     -0.026     -1.441    -66.314     66.330      0.330
   306        21   (g)                -44   280   280   351   351   144   169     -0.540      0.092     -2.687      2.743      0.000
   307        21   (g)                -44   281   281   352   352   145   179      0.381      0.361    -20.604     20.610      0.000
   308        21   (g)                -44   282   282   353   353   180   142      0.402      0.166      0.637      0.771      0.000
   309        21   (g)                -43   301     0   354   354   189   180      0.490      0.878    353.685    353.686      0.000
   310        21   (g)                -51   171     0   362   363   190   114      2.639      5.688      0.763      6.316      0.000
   311        21   (g)                -51   171     0   499   500   149   190      2.883      4.530     -1.051      5.471      0.000
   312        21   (g)                -52   172   172   430   430   117   149      1.807      0.610      0.606      2.001      0.000
   313        21   (g)                -42   365     0   234   234   132   133      0.000      0.000     30.339     30.339      0.000
   314        21   (g)                -41   366   366   320   210   191   139     -0.000     -0.000  -1317.975   1317.975      0.000
   315        21   (g)                -44   232   232   339   339   166   135      3.359      1.480     19.207     19.554      0.000
   316        21   (g)                -44   212   212   368   368   135   134     -0.431     -0.908      0.292      1.047      0.000
   317        21   (g)                -44   213   213   369   369   134   139     -1.615     -0.233      0.875      1.852      0.000
   318        21   (g)                -44   214   214   323   323   158   133     -0.124     -0.944     -3.333      3.466      0.000
   319        21   (g)                -44   233   233   337   338   132   166     -0.411      1.223      8.812      8.906      0.000
   320        21   (g)                -43   314     0   321   322   191   158     -0.778     -0.617  -1313.489   1313.490      0.000
   321        21   (g)                -51   320     0   372   372   191   192     -0.840      0.572   -530.926    530.927      0.000
   322        21   (g)                -51   320     0   373   373   192   158      0.061     -1.199   -782.601    782.602      0.000
   323        21   (g)                -52   318   318   370   370   158   133     -0.122     -0.933     -3.295      3.426      0.000
   324        -4   (cbar)             -51   156     0   392   392     0   193     14.478    -17.574     19.077     29.743      1.500
   325        21   (g)                -51   156     0   422   422   193   102      5.114     -7.908      8.142     12.449      0.000
   326        21   (g)                -52   193   193   405   405   102   147     -0.310     -0.225      0.456      0.596      0.000
   327        21   (g)                -31  1111  1111   329   330   194   195      0.000      0.000     51.591     51.591      0.000
   328        21   (g)                -31   660   660   329   330   196   197      0.000      0.000    -65.988     65.988      0.000
   329        21   (g)                -33   327   328   778   779   194   197      0.522      0.818    -65.980     65.987      0.000
   330        21   (g)                -33   327   328   658   659   196   195     -0.522     -0.818     51.583     51.592      0.000
   331        21   (g)                -51   235     0   342   342   198   164     -1.212     -0.041     -1.243      1.736      0.000
   332        21   (g)                -51   235     0   532   533   167   198      0.296     -1.185     -0.741      1.429      0.000
   333        21   (g)                -52   236   236   762   762   115   167     -0.069      0.559      0.488      0.745      0.000
   334        21   (g)                -51   286     0   388   388   199   176     27.075    -23.896     69.230     78.083      0.000
   335        21   (g)                -51   286     0   423   423   183   199      5.456     -4.275     11.745     13.638      0.000
   336        21   (g)                -52   287   287   418   418   127   183      1.752     -1.131      4.309      4.787      0.000
   337        21   (g)                -51   319     0   371   371   132   201      0.773      1.485     16.237     16.323      0.000
   338        21   (g)                -51   319     0   374   374   201   166      0.191      0.343      0.439      0.589      0.000
   339        21   (g)                -52   315   315   367   367   166   135      1.984      0.874     11.343     11.548      0.000
   340        21   (g)                -51   229     0   964   964   202   116     -1.078     -2.480     -3.632      4.528      0.000
   341        21   (g)                -51   229     0   631   632   164   202      0.500     -2.478     -1.854      3.135      0.000
   342        21   (g)                -52   331   331   534   534   198   164     -0.809     -0.028     -0.829      1.159      0.000
   343        21   (g)                -51   204     0   411   411   203   156      1.520      0.579     -7.379      7.557      0.000
   344        21   (g)                -51   204     0   424   424   104   203     -0.280     -1.015     -4.287      4.414      0.000
   345        -2   (ubar)             -52   205   205   387   387     0   104    -12.567     -8.420    -16.028     22.042      0.330
   346         2   (u)                -41   510   510   355   301   189     0      0.000      0.000    882.610    882.610      0.000
   347         1   (d)                -42   759   759   302   302   143     0     -0.000     -0.000   -107.570    107.570      0.000
   348        21   (g)                -44   303   303   523   524   142   145      0.967      0.260     -1.957      2.198      0.000
   349        21   (g)                -44   304   304   489   489   179   144     -1.674     -0.316    -15.734     15.826      0.000
   350         1   (d)                -44   305   305   511   512   169     0     -0.026     -1.441    -66.311     66.328      0.330
   351        21   (g)                -44   306   306   513   513   144   169     -0.540      0.092     -2.687      2.743      0.000
   352        21   (g)                -44   307   307   487   488   145   179      0.381      0.361    -20.604     20.611      0.000
   353        21   (g)                -44   308   308   525   525   180   142      0.402      0.168      0.637      0.772      0.000
   354        21   (g)                -44   309   309   508   509   189   180      0.650      1.781    353.686    353.691      0.000
   355         2   (u)                -43   346     0   757   758   143     0     -0.160     -0.905    528.010    528.011      0.330
   356        21   (g)                -51   292     0   390   390   204   186     11.057     -3.704     46.472     47.913      0.000
   357        21   (g)                -51   292     0   425   425   110   204      0.276     -0.795      9.634      9.670      0.000
   358        -3   (sbar)             -52   185   185   394   394     0   110    -17.608    -16.134    173.455    175.092      0.500
   359        21   (g)                -51   153     0   389   389   205   140     14.200     13.900    -57.356     60.701      0.000
   360        21   (g)                -51   153     0   426   426   125   205      5.531      3.656    -20.591     21.632      0.000
   361        21   (g)                -52   259   259   399   399   153   125      8.748      3.275    -25.510     27.167      0.000
   362        21   (g)                -51   310     0   381   381   190   206      0.916      3.339     -0.204      3.469      0.000
   363        21   (g)                -51   310     0   376   377   206   114      1.724      2.348      1.315      3.196      0.000
   364        -1   (dbar)             -53   378   378   120   120     0   114      0.000      0.000    174.983    174.983      0.000
   365        21   (g)                -41   555   555   375   313   207   133      0.000      0.000     40.538     40.538      0.000
   366        21   (g)                -42   462   462   314   314   191   139      0.000     -0.000  -1317.975   1317.975      0.000
   367        21   (g)                -44   339   339   466   467   166   135      2.334      0.851     11.311     11.581      0.000
   368        21   (g)                -44   316   316   468   468   135   134     -0.411     -0.910      0.297      1.041      0.000
   369        21   (g)                -44   317   317   460   461   134   139     -1.573     -0.236      0.900      1.828      0.000
   370        21   (g)                -44   323   323   553   554   158   133     -0.120     -0.933     -3.294      3.425      0.000
   371        21   (g)                -44   337   337   486   486   132   201      1.271      1.453     16.223     16.337      0.000
   372        21   (g)                -44   321   321   715   716   191   192     -0.840      0.572   -530.901    530.902      0.000
   373        21   (g)                -44   322   322   570   570   192   158      0.061     -1.199   -782.586    782.587      0.000
   374        21   (g)                -44   338   338  1050  1050   201   166      0.207      0.342      0.436      0.592      0.000
   375        21   (g)                -43   365     0   484   485   207   132     -0.929      0.060     10.177     10.219      0.000
   376        21   (g)                -51   363     0   379   380   206   208      1.274      2.051      2.480      3.461      0.000
   377        21   (g)                -51   363     0   496   497   208   114      0.449      0.297     -0.288      0.611      0.000
   378        -1   (dbar)             -53   498   498   364   364     0   114      0.000      0.000    175.860    175.860      0.000
   379        -2   (ubar)             -51   376     0   979   979     0   208      1.500      2.908      1.343      3.552      0.330
   380         2   (u)                -51   376     0   549   549   206     0      0.108      0.362      1.062      1.175      0.330
   381        21   (g)                -52   362   362   547   548   190   206      0.581      2.121     -0.129      2.203      0.000
   382         1   (d)                -41   860   860   427   146   209     0      0.000     -0.000   3549.675   3549.675      0.000
   383        -1   (dbar)             -42   861   861   147   147     0   148      0.000     -0.000  -1404.407   1404.407      0.000
   384   5000039   (Graviton)         -44   148   148   862   862     0     0   -627.414    603.351   -277.060   1886.505   1650.593
   385         4   (c)                -44   199   199   645   645   101     0     84.765    -67.748    236.027    259.780      1.500
   386        21   (g)                -44   285   285   436   436   107   160      1.849     -3.479      6.133      7.289      0.000
   387        -2   (ubar)             -44   345   345   474   474     0   104    -12.566     -8.421    -16.027     22.041      0.330
   388        21   (g)                -44   334   334   822   822   199   176     27.094    -23.902     69.226     78.087      0.000
   389        21   (g)                -44   359   359   481   482   205   140     14.201     13.900    -57.357     60.702      0.000
   390        21   (g)                -44   356   356   636   636   204   186     11.069     -3.708     46.470     47.914      0.000
   391        21   (g)                -44   197   197   519   519   138   154     -0.960     -0.802      4.916      5.072      0.000
   392        -4   (cbar)             -44   324   324   870   870     0   193     14.484    -17.577     19.074     29.746      1.500
   393         4   (c)                -44   297   297   871   871   109     0      2.928     -4.096     31.791     32.222      1.500
   394        -3   (sbar)             -44   358   358   564   564     0   110    -17.564    -16.149    173.456    175.090      0.500
   395        21   (g)                -44   159   159   434   435   137   107      3.633     -7.494     27.934     29.149      0.000
   396        21   (g)                -44   208   208   431   432   112   103      0.936      4.296     95.716     95.817      0.000
   397        21   (g)                -44   224   224   457   458   108   113     14.380    -51.430    185.776    193.299      0.000
   398        21   (g)                -44   206   206   475   476   157   118     -0.802      0.954      6.468      6.587      0.000
   399        21   (g)                -44   361   361   652   653   153   125      8.748      3.275    -25.511     27.168      0.000
   400        21   (g)                -44   288   288   586   587   105   127     45.062    -35.601    117.558    130.835      0.000
   401         2   (u)                -44   268   268   478   479   106     0      0.664     -2.496     -2.922      3.913      0.330
   402        21   (g)                -44   294   294   516   516   111   137      2.080    -17.376     37.482     41.367      0.000
   403        21   (g)                -44   167   167   517   518   113   138      3.296    -12.734     70.249     71.470      0.000
   404        21   (g)                -44   266   266   465   465   140   178      1.031      1.354     -3.388      3.792      0.000
   405        21   (g)                -44   326   326   594   594   102   147     -0.310     -0.225      0.456      0.596      0.000
   406        21   (g)                -44   203   203   522   522   156   148     -0.620     -1.547    -54.239     54.264      0.000
   407         3   (s)                -44   186   186   544   545   118     0     -7.205     -3.623     63.344     63.857      0.500
   408        21   (g)                -44   257   257   592   593   147   175      4.628      1.723    -14.524     15.341      0.000
   409        -4   (cbar)             -44   195   195   588   588     0   105    324.307   -262.490    919.692   1009.907      1.500
   410        21   (g)                -44   198   198   540   540   154   101      6.452     -3.697     17.314     18.843      0.000
   411        21   (g)                -44   343   343   520   521   203   156      1.520      0.579     -7.380      7.557      0.000
   412        21   (g)                -44   207   207   437   438   103   157      0.025      4.785     80.434     80.576      0.000
   413        21   (g)                -44   283   283   459   459   182   108      4.540     -9.817     22.761     25.200      0.000
   414        21   (g)                -44   258   258   661   662   175   153      1.911     -0.296     -2.535      3.188      0.000
   415        21   (g)                -44   300   300   567   567   176   187     49.384    -45.096    128.941    145.252      0.000
   416        21   (g)                -44   267   267   463   464   178   106     -0.878      0.397     -5.331      5.418      0.000
   417        21   (g)                -44   284   284   718   719   160   182      7.001    -10.623     23.480     26.705      0.000
   418        21   (g)                -44   336   336   896   896   127   183      1.753     -1.131      4.309      4.787      0.000
   419        21   (g)                -44   293   293   514   515   186   111      0.098      0.315      0.497      0.596      0.000
   420        21   (g)                -44   298   298   507   507   188   109      1.152     -0.997      4.582      4.829      0.000
   421        21   (g)                -44   299   299   505   506   187   188     14.056    -12.325     34.848     39.546      0.000
   422        21   (g)                -44   325   325   621   621   193   102      5.117     -7.909      8.141     12.450      0.000
   423        21   (g)                -44   335   335   820   821   183   199      5.459     -4.276     11.744     13.639      0.000
   424        21   (g)                -44   344   344   472   473   104   203     -0.280     -1.015     -4.287      4.414      0.000
   425        21   (g)                -44   357   357   562   563   110   204      0.278     -0.796      9.633      9.670      0.000
   426        21   (g)                -44   360   360   483   483   125   205      5.531      3.656    -20.591     21.632      0.000
   427        21   (g)                -43   382     0   433   433   209   112     -0.833      0.290    177.969    177.971      0.000
   428        21   (g)                -51   173     0   697   698   124   210     -2.700      0.798     -1.090      3.019      0.000
   429        21   (g)                -51   173     0   492   492   210   117     -0.354     -0.545      0.323      0.725      0.000
   430        21   (g)                -52   312   312   490   491   117   149      1.533      0.518      0.514      1.698      0.000
   431        21   (g)                -51   396     0   439   439   211   103      1.358      2.986     67.303     67.383      0.000
   432        21   (g)                -51   396     0   469   470   112   211     -0.517      1.343     48.665     48.686      0.000
   433        21   (g)                -52   427   427   471   471   209   112     -0.739      0.257    157.717    157.719      0.000
   434        21   (g)                -51   395     0   526   527   137   212      2.541     -5.537     16.743     17.817      0.000
   435        21   (g)                -51   395     0   528   528   212   107      1.423     -2.581     12.290     12.638      0.000
   436        21   (g)                -52   386   386   720   720   107   160      1.518     -2.855      5.034      5.983      0.000
   437        21   (g)                -51   412     0   477   477   213   157      0.857      3.317     49.445     49.564      0.000
   438        21   (g)                -51   412     0   603   603   103   213      0.315      3.989     87.809     87.900      0.000
   439        21   (g)                -52   431   431   874   874   211   103      0.212      0.465     10.483     10.495      0.000
   440        21   (g)                -51   254     0   573   573   215   126      1.194      0.737     -4.140      4.372      0.000
   441        21   (g)                -51   254     0   840   840   174   215      1.741     -0.488     -2.770      3.308      0.000
   442        21   (g)                -52   255   255   838   839   121   174      1.353     -0.064     -1.067      1.724      0.000
   443        21   (g)                -41  1023  1023   453   245   216   128      0.000      0.000    426.328    426.328      0.000
   444         1   (d)                -42  1024  1024   246   246   130     0      0.000     -0.000     -2.465      2.465      0.000
   445        21   (g)                -44   247   247  1025  1025   151   128     -0.603      0.501     83.145     83.149      0.000
   446        21   (g)                -44   248   248   679   680   130   146     -1.505     -0.218      3.699      3.999      0.000
   447         2   (u)                -44   289   289   729   729   136     0     -2.048      0.435     21.140     21.246      0.330
   448        21   (g)                -44   250   250   537   537   150   131     -0.267     -0.728      7.817      7.856      0.000
   449        21   (g)                -44   251   251   582   582   146   150     -1.262     -0.807      1.134      1.879      0.000
   450        21   (g)                -44   252   252   535   536   131   151      4.704     -0.405    226.318    226.367      0.000
   451         1   (d)                -44   291   291  1031  1031   129     0      1.165      0.254     -1.525      1.964      0.330
   452        -2   (ubar)             -44   290   290  1032  1032     0   129      0.517      0.656      1.983      2.177      0.330
   453        21   (g)                -43   443     0   727   728   216   136     -0.701      0.311     80.151     80.155      0.000
   454        -1   (dbar)             -51   271     0   609   609     0   217     -0.662     -1.079     45.872     45.891      0.330
   455        21   (g)                -51   271     0   589   590   217   123     -1.104      0.131     89.468     89.475      0.000
   456         3   (s)                -52   270   270   591   591   123     0      1.245     -1.346     14.345     14.470      0.500
   457        21   (g)                -51   397     0   604   605   218   113      1.359     -3.822     11.721     12.403      0.000
   458        21   (g)                -51   397     0   543   543   108   218     13.273    -48.154    175.322    182.299      0.000
   459        21   (g)                -52   413   413   541   542   182   108      4.287     -9.271     21.495     23.798      0.000
   460        21   (g)                -51   369     0   598   599   134   219     -0.930      0.260      1.124      1.481      0.000
   461        21   (g)                -51   369     0   766   767   219   139     -0.644     -0.495     -2.635      2.757      0.000
   462        21   (g)                -53   717   717   366   366   191   139     -0.000     -0.000  -1320.386   1320.386      0.000
   463        21   (g)                -51   416     0   480   480   220   106     -0.787      0.503     -5.949      6.022      0.000
   464        21   (g)                -51   416     0   910   910   178   220      0.392      0.527     -0.968      1.170      0.000
   465        21   (g)                -52   404   404   882   882   140   178      0.549      0.720     -1.803      2.017      0.000
   466        21   (g)                -51   367     0  1043  1043   166   221     -0.267      0.312      1.039      1.117      0.000
   467        21   (g)                -51   367     0   495   495   221   135      2.534      0.390     10.321     10.635      0.000
   468        21   (g)                -52   368   368   493   494   135   134     -0.343     -0.760      0.248      0.870      0.000
   469        -2   (ubar)             -51   432     0   906   906     0   211     -0.489      1.540     68.756     68.775      0.330
   470         2   (u)                -51   432     0   911   911   112     0     -0.369     -0.079     52.560     52.562      0.330
   471        21   (g)                -52   433   433   905   905   209   112     -0.398      0.139     85.066     85.068      0.000
   472        21   (g)                -51   424     0   706   707   222   203     -1.383     -1.070     -4.726      5.039      0.000
   473        21   (g)                -51   424     0   556   557   104   222      0.257     -0.512     -0.638      0.858      0.000
   474        -2   (ubar)             -52   387   387   558   558     0   104    -11.720     -7.854    -14.949     20.558      0.330
   475        21   (g)                -51   398     0   546   546   223   118     -0.344      0.449      1.604      1.701      0.000
   476        21   (g)                -51   398     0   622   623   157   223     -0.190      1.547     20.399     20.458      0.000
   477        21   (g)                -52   437   437   601   602   213   157      0.588      2.275     33.911     33.992      0.000
   478         2   (u)                -51   401     0   879   879   225     0      1.090     -1.798     -2.674      3.418      0.330
   479        21   (g)                -51   401     0   914   914   106   225     -0.551     -0.618     -1.189      1.449      0.000
   480        21   (g)                -52   463   463   894   894   220   106     -0.663      0.424     -5.007      5.069      0.000
   481        21   (g)                -51   389     0   639   639   226   140      9.121      8.763    -34.719     36.951      0.000
   482        21   (g)                -51   389     0   637   638   205   226      7.222      6.552    -30.611     32.127      0.000
   483        21   (g)                -52   426   426   654   654   125   205      3.389      2.241    -12.619     13.257      0.000
   484        21   (g)                -51   375     0   744   744   207   227     -0.626      0.930     10.157     10.219      0.000
   485        21   (g)                -51   375     0   690   690   227   132      0.100     -0.409      5.165      5.182      0.000
   486        21   (g)                -52   371   371   688   689   132   201      0.868      0.992     11.078     11.156      0.000
   487        21   (g)                -51   352     0  1081  1081   145   229     -0.159      0.496     -3.624      3.662      0.000
   488        21   (g)                -51   352     0   844   845   229   179     -0.041     -0.244    -22.439     22.440      0.000
   489        21   (g)                -52   349   349   846   846   179   144     -1.093     -0.206    -10.275     10.335      0.000
   490        21   (g)                -51   430     0   501   501   230   149      1.556     -0.046      0.713      1.712      0.000
   491        21   (g)                -51   430     0   984   984   117   230     -0.202      0.287     -0.036      0.353      0.000
   492        21   (g)                -52   429   429   750   750   210   117     -0.175     -0.269      0.159      0.358      0.000
   493        21   (g)                -51   468     0   600   600   231   134      0.322     -0.342     -0.109      0.483      0.000
   494        21   (g)                -51   468     0   808   809   135   231     -0.335     -0.367      1.703      1.774      0.000
   495        21   (g)                -52   467   467   810   810   221   135      2.204      0.339      8.976      9.249      0.000
   496        21   (g)                -51   377     0   745   746   208   232      0.926      0.602      0.478      1.204      0.000
   497        21   (g)                -51   377     0   747   747   232   114     -0.477     -0.305      0.834      1.008      0.000
   498        -1   (dbar)             -53   961   961   378   378     0   114      0.000      0.000    177.460    177.460      0.000
   499        21   (g)                -51   311     0   976   976   233   190      2.186      2.470     -1.095      3.475      0.000
   500        21   (g)                -51   311     0   721   722   149   233      0.939      2.052      0.155      2.262      0.000
   501        21   (g)                -52   490   490   723   723   230   149      1.314     -0.038      0.602      1.446      0.000
   502        21   (g)                -51   265     0   664   665   152   234     -0.940     -1.365      0.726      1.810      0.000
   503        21   (g)                -51   265     0   666   666   234   141     -0.083      0.181     -0.285      0.348      0.000
   504        21   (g)                -52   200   200   574   575   141   155     -0.002      0.772      1.879      2.031      0.000
   505        21   (g)                -51   421     0   565   566   187   235      6.582     -5.167     16.889     18.848      0.000
   506        21   (g)                -51   421     0   763   764   235   188      7.850     -7.484     19.454     22.273      0.000
   507        21   (g)                -52   420   420   765   765   188   109      0.776     -0.672      3.087      3.254      0.000
   508        21   (g)                -51   354     0   552   552   236   180      0.071     -0.217     27.439     27.440      0.000
   509        21   (g)                -51   354     0   700   701   189   236      0.579      1.998    524.082    524.086      0.000
   510         2   (u)                -53   702   702   346   346   189     0      0.000      0.000   1080.444   1080.444      0.000
   511         1   (d)                -51   350     0  1079  1079   237     0     -0.438     -0.496    -46.318     46.324      0.330
   512        21   (g)                -51   350     0   630   630   169   237      0.292     -0.925    -20.588     20.611      0.000
   513        21   (g)                -52   351   351   628   629   144   169     -0.420      0.072     -2.092      2.135      0.000
   514        21   (g)                -51   419     0   897   897   186   238      0.571     -0.180      2.345      2.420      0.000
   515        21   (g)                -51   419     0   616   617   238   111     -0.303     -0.930      1.226      1.568      0.000
   516        21   (g)                -52   402   402   618   618   111   137      1.909    -15.951     34.409     37.974      0.000
   517        21   (g)                -51   403     0   881   881   113   240      1.335     -2.972     17.191     17.497      0.000
   518        21   (g)                -51   403     0   847   848   240   138      1.877     -9.832     53.488     54.417      0.000
   519        21   (g)                -52   391   391   538   539   138   154     -0.876     -0.732      4.486      4.628      0.000
   520        21   (g)                -51   411     0   708   708   203   241      0.931      0.952     -7.371      7.491      0.000
   521        21   (g)                -51   411     0   585   585   241   156      0.539     -0.501     -4.480      4.540      0.000
   522        21   (g)                -52   406   406   583   584   156   148     -0.569     -1.419    -49.767     49.790      0.000
   523        21   (g)                -51   348     0   771   771   242   145      0.272      0.203     -1.574      1.610      0.000
   524        21   (g)                -51   348     0   577   578   142   242      0.836      0.115     -0.160      0.859      0.000
   525        21   (g)                -52   353   353   550   551   180   142      0.261      0.109      0.414      0.501      0.000
   526        21   (g)                -51   434     0   873   873   137   243      2.735     -6.535     21.101     22.259      0.000
   527        21   (g)                -51   434     0   920   920   243   212      0.573     -0.392      2.264      2.369      0.000
   528        21   (g)                -52   435   435   907   907   212   107      0.656     -1.190      5.667      5.828      0.000
   529        21   (g)                -51   243     0   819   819   244   173      0.288     -0.054    -43.485     43.486      0.000
   530        21   (g)                -51   243     0   817   818   170   244      0.861     -0.576    -20.633     20.659      0.000
   531        21   (g)                -53   853     0   241   241   170   171      0.000     -0.000      4.504      4.504      0.000
   532        21   (g)                -51   332     0   625   626   167   245      0.388     -0.596     -0.105      0.718      0.000
   533        21   (g)                -51   332     0   627   627   245   198     -0.596     -0.607     -1.153      1.433      0.000
   534        21   (g)                -52   342   342   633   633   198   164     -0.304     -0.010     -0.312      0.436      0.000
   535        21   (g)                -51   450     0   672   672   246   151      4.594     -0.546    199.532    199.585      0.000
   536        21   (g)                -51   450     0   670   671   131   246      0.078      0.055     27.712     27.712      0.000
   537        21   (g)                -52   448   448   580   581   150   131     -0.235     -0.642      6.891      6.925      0.000
   538        21   (g)                -51   519     0   790   791   138   247     -0.760     -0.390      4.564      4.643      0.000
   539        21   (g)                -51   519     0   792   792   247   154      0.665     -0.789      2.018      2.266      0.000
   540        21   (g)                -52   410   410   643   644   154   101      5.671     -3.249     15.218     16.562      0.000
   541        21   (g)                -51   459     0   735   735   182   248      4.550    -10.425     25.371     27.805      0.000
   542        21   (g)                -51   459     0   738   738   248   108      0.038      0.065      0.088      0.116      0.000
   543        21   (g)                -52   458   458   606   606   108   218     12.973    -47.065    171.357    178.176      0.000
   544         3   (s)                -51   407     0   885   885   249     0     -5.992     -2.388     50.626     51.037      0.500
   545        21   (g)                -51   407     0   726   726   118   249     -1.257     -1.177     12.928     13.042      0.000
   546        21   (g)                -52   475   475   624   624   223   118     -0.299      0.391      1.394      1.478      0.000
   547        21   (g)                -51   381     0   612   612   190   250      0.488      1.229     -0.426      1.389      0.000
   548        21   (g)                -51   381     0   610   611   250   206      0.120      0.973      0.740      1.229      0.000
   549         2   (u)                -52   380   380   981   981   206     0      0.082      0.280      0.619      0.760      0.330
   550        21   (g)                -51   525     0   579   579   251   142      0.431      0.549      5.130      5.177      0.000
   551        21   (g)                -51   525     0  1089  1089   180   251     -0.149     -0.504      3.383      3.424      0.000
   552        21   (g)                -52   508   508  1083  1083   236   180      0.050     -0.153     19.340     19.341      0.000
   553        21   (g)                -51   370     0   568   569   158   252     -0.290     -1.398     -2.986      3.310      0.000
   554        21   (g)                -51   370     0   646   647   252   133      0.169      0.465      0.079      0.501      0.000
   555        21   (g)                -53   648   648   365   365   207   133     -0.000     -0.000     40.924     40.924      0.000
   556        21   (g)                -51   473     0   912   912   254   222     -0.185     -1.265     -1.201      1.754      0.000
   557        21   (g)                -51   473     0   924   924   104   254     -1.069     -0.258     -1.362      1.750      0.000
   558        -2   (ubar)             -52   474   474   865   865     0   104    -10.209     -6.843    -13.025     17.911      0.330
   559        21   (g)                -51   228     0  1101  1101   255   162     -1.065     -0.692    -15.837     15.888      0.000
   560        21   (g)                -51   228     0   649   650   163   255     -0.409      0.487     -3.266      3.328      0.000
   561        -2   (ubar)             -52   227   227   651   651     0   163      1.474      0.205      0.573      1.629      0.330
   562        21   (g)                -51   425     0   634   635   256   204      0.328     -0.824      6.910      6.966      0.000
   563        21   (g)                -51   425     0   687   687   110   256     -1.834     -1.611     20.325     20.471      0.000
   564        -3   (sbar)             -52   394   394   872   872     0   110    -15.780    -14.510    155.855    157.323      0.500
   565        21   (g)                -51   505     0   899   899   257   235      1.604     -1.127      3.429      3.950      0.000
   566        21   (g)                -51   505     0   926   926   187   257     21.204    -18.858     55.828     62.626      0.000
   567        21   (g)                -52   415   415   893   893   176   187     33.157    -30.278     86.573     97.524      0.000
   568        21   (g)                -51   553     0  1046  1046   259   252      0.210      0.053     -0.206      0.299      0.000
   569        21   (g)                -51   553     0   613   614   158   259     -0.499     -1.455     -5.009      5.240      0.000
   570        21   (g)                -52   373   373   615   615   192   158      0.061     -1.196   -780.358    780.358      0.000
   571        21   (g)                -51   221     0   682   683   260   159      1.987     -0.152    -13.270     13.419      0.000
   572        21   (g)                -51   221     0  1019  1019   126   260     -0.157     -0.030     -1.161      1.172      0.000
   573        21   (g)                -52   440   440  1014  1014   215   126      0.816      0.504     -2.831      2.989      0.000
   574        21   (g)                -51   504     0   813   813   141   261     -0.020      0.679      0.951      1.169      0.000
   575        21   (g)                -51   504     0   811   812   261   155     -0.094     -0.486      2.350      2.402      0.000
   576        21   (g)                -52   237   237   777   777   155   115     -0.490     -2.553      6.275      6.793      0.000
   577        21   (g)                -51   524     0   769   770   262   242      0.999     -0.152      0.517      1.135      0.000
   578        21   (g)                -51   524     0  1090  1090   142   262     -0.110      0.334     -0.051      0.356      0.000
   579        21   (g)                -52   550   550  1082  1082   251   142      0.379      0.482      4.504      4.545      0.000
   580        21   (g)                -51   537     0   799   800   263   131     -0.155     -0.540      6.635      6.659      0.000
   581        21   (g)                -51   537     0   801   801   150   263     -0.357     -0.279      0.505      0.679      0.000
   582        21   (g)                -52   449   449   681   681   146   150     -0.985     -0.630      0.886      1.467      0.000
   583        21   (g)                -51   522     0   884   884   264   148     -0.199     -1.149    -20.282     20.315      0.000
   584        21   (g)                -51   522     0   772   773   156   264     -0.250     -0.383    -30.487     30.491      0.000
   585        21   (g)                -52   521   521   774   774   241   156      0.418     -0.389     -3.478      3.524      0.000
   586        21   (g)                -51   400     0   878   878   265   127     31.401    -24.174     81.049     90.218      0.000
   587        21   (g)                -51   400     0   595   596   105   265     18.283    -15.168     49.622     55.015      0.000
   588        -4   (cbar)             -52   409   409   597   597     0   105    319.686   -258.748    906.579    995.509      1.500
   589        21   (g)                -51   455     0   607   608   217   266     -0.394      0.547     33.686     33.693      0.000
   590        21   (g)                -51   455     0   712   713   266   123     -0.652     -0.476     56.347     56.353      0.000
   591         3   (s)                -52   456   456   714   714   123     0      1.188     -1.285     13.780     13.899      0.500
   592        21   (g)                -51   408     0   886   886   267   175      4.229      1.075    -12.319     13.069      0.000
   593        21   (g)                -51   408     0   673   674   147   267      0.382      0.636     -2.180      2.303      0.000
   594        21   (g)                -52   405   405   619   620   102   147     -0.293     -0.213      0.432      0.564      0.000
   595        21   (g)                -51   587     0   837   837   268   265      6.641     -5.439     17.334     19.343      0.000
   596        21   (g)                -51   587     0   835   836   105   268     38.354    -31.343    108.074    118.884      0.000
   597        -4   (cbar)             -52   588   588   887   887     0   105    292.974   -237.134    830.793    912.297      1.500
   598        21   (g)                -51   460     0   739   740   269   219     -1.025     -0.012      0.662      1.220      0.000
   599        21   (g)                -51   460     0   741   741   134   269      0.248      0.109      0.410      0.492      0.000
   600        21   (g)                -52   493   493  1044  1044   231   134      0.169     -0.179     -0.057      0.253      0.000
   601        -2   (ubar)             -51   477     0   890   890     0   157      0.106      0.696     10.658     10.686      0.330
   602         2   (u)                -51   477     0   931   931   213     0      0.659      3.830     72.805     72.909      0.330
   603        21   (g)                -52   438   438   908   908   103   213      0.137      1.738     38.258     38.298      0.000
   604        21   (g)                -51   457     0   823   824   270   113      0.559     -1.879      5.136      5.497      0.000
   605        21   (g)                -51   457     0   825   825   218   270      3.502    -11.743     42.266     44.007      0.000
   606        21   (g)                -52   543   543   736   737   108   218     10.272    -37.265    135.676    141.075      0.000
   607        21   (g)                -51   589     0   787   788   271   266     -0.204     -0.295      5.509      5.521      0.000
   608        21   (g)                -51   589     0   789   789   217   271     -0.476      0.308     47.609     47.613      0.000
   609        -1   (dbar)             -52   454   454   967   967     0   217     -0.376     -0.545     26.440     26.451      0.330
   610        21   (g)                -51   548     0   655   656   273   206      0.193      0.648     -0.343      0.758      0.000
   611        21   (g)                -51   548     0   657   657   250   273      0.273      1.196      0.782      1.454      0.000
   612        21   (g)                -52   547   547   963   963   190   250      0.142      0.358     -0.124      0.405      0.000
   613        21   (g)                -51   569     0  1057  1057   275   259      0.240     -0.262     -0.691      0.777      0.000
   614        21   (g)                -51   569     0   678   678   158   275     -0.739     -1.197     -6.752      6.897      0.000
   615        21   (g)                -52   570   570   676   677   192   158      0.061     -1.192   -777.923    777.924      0.000
   616        21   (g)                -51   515     0   756   756   238   276      0.529     -1.786      3.220      3.719      0.000
   617        21   (g)                -51   515     0   754   755   276   111     -0.489     -2.002      4.169      4.650      0.000
   618        21   (g)                -52   516   516   880   880   111   137      1.567    -13.095     28.246     31.173      0.000
   619        21   (g)                -51   594     0   675   675   277   147      0.150      0.138      0.331      0.389      0.000
   620        21   (g)                -51   594     0   934   934   102   277      0.462     -1.751      1.541      2.377      0.000
   621        21   (g)                -52   422   422   900   900   193   102      4.212     -6.510      6.700     10.247      0.000
   622        21   (g)                -51   476     0   913   913   157   278     -0.486      1.452     12.761     12.852      0.000
   623        21   (g)                -51   476     0   935   935   278   223      0.161      0.272      8.269      8.275      0.000
   624        21   (g)                -52   546   546   724   725   223   118     -0.163      0.214      0.763      0.809      0.000
   625        21   (g)                -51   532     0   760   761   167   279     -0.169     -0.857     -1.085      1.393      0.000
   626        21   (g)                -51   532     0   994   994   279   245      0.154     -0.148      0.201      0.293      0.000
   627        21   (g)                -52   533   533   988   988   245   198     -0.193     -0.197     -0.374      0.465      0.000
   628        21   (g)                -51   513     0  1080  1080   144   280      0.032      0.244     -6.866      6.870      0.000
   629        21   (g)                -51   513     0  1091  1091   280   169     -0.319     -0.593     -4.609      4.658      0.000
   630        21   (g)                -52   512   512  1087  1087   169   237      0.159     -0.503    -11.206     11.219      0.000
   631        21   (g)                -51   341     0   816   816   281   202     -0.220     -1.830     -1.315      2.264      0.000
   632        21   (g)                -51   341     0   814   815   164   281      0.551     -0.654     -0.712      1.113      0.000
   633        21   (g)                -52   534   534   972   972   198   164     -0.136     -0.005     -0.139      0.194      0.000
   634        21   (g)                -51   562     0   685   686   256   282      1.013     -1.379     10.000     10.145      0.000
   635        21   (g)                -51   562     0   753   753   282   204      0.629      0.114      2.425      2.508      0.000
   636        21   (g)                -52   390   390   751   752   204   186      9.755     -3.268     40.955     42.227      0.000
   637        21   (g)                -51   482     0   915   915   205   283      2.954      3.094    -13.941     14.583      0.000
   638        21   (g)                -51   482     0   937   937   283   226      8.641      7.660    -33.319     35.264      0.000
   639        21   (g)                -52   481   481   867   867   226   140      4.747      4.561    -18.069     19.231      0.000
   640        21   (g)                -51   256     0  1013  1013   284   121      2.564      0.741     -4.292      5.055      0.000
   641        21   (g)                -51   256     0  1020  1020   120   284     -0.214      0.089     -0.366      0.434      0.000
   642        21   (g)                -53  1010  1010   215   215   120   119      0.000     -0.000      1.937      1.937      0.000
   643        21   (g)                -51   540     0   888   888   154   285      5.159     -3.327     15.188     16.381      0.000
   644        21   (g)                -51   540     0   938   938   285   101      6.661     -4.859     17.161     19.039      0.000
   645         4   (c)                -52   385   385   863   863   101     0     78.616    -62.811    218.896    240.922      1.500
   646        21   (g)                -51   554     0   843   843   252   286     -0.333      0.091      0.082      0.354      0.000
   647        21   (g)                -51   554     0   841   842   286   133      0.502      0.374      1.229      1.379      0.000
   648        21   (g)                -53  1041  1041   555   555   207   133      0.000      0.000     42.156     42.156      0.000
   649        21   (g)                -51   560     0  1102  1102   287   255     -0.407     -0.193     -1.048      1.140      0.000
   650        21   (g)                -51   560     0  1103  1103   163   287      0.093      0.693     -2.179      2.288      0.000
   651        -2   (ubar)             -52   561   561  1100  1100     0   163      1.380      0.192      0.533      1.528      0.330
   652        21   (g)                -51   399     0   663   663   153   288      7.044      2.973    -22.621     23.878      0.000
   653        21   (g)                -51   399     0   828   828   288   125      3.016      1.169     -7.771      8.417      0.000
   654        21   (g)                -52   483   483   904   904   125   205      2.078      1.374     -7.738      8.130      0.000
   655        21   (g)                -51   610     0   793   794   289   206      0.364      0.216      0.354      0.552      0.000
   656        21   (g)                -51   610     0   795   795   273   289      0.068      1.483     -0.010      1.485      0.000
   657        21   (g)                -52   611   611   993   993   250   273      0.033      0.145      0.095      0.177      0.000
   658        21   (g)                -51   330     0   667   668   290   195     -0.725     -0.340     47.907     47.913      0.000
   659        21   (g)                -51   330     0   669   669   196   290      0.203     -0.478      3.659      3.696      0.000
   660        21   (g)                -53   780   780   328   328   196   197     -0.000     -0.000    -66.005     66.005      0.000
   661        21   (g)                -51   414     0   892   892   175   291      2.191     -0.375     -3.996      4.572      0.000
   662        21   (g)                -51   414     0   940   940   291   153      0.336      0.339     -0.518      0.704      0.000
   663        21   (g)                -52   652   652   826   827   153   288      6.428      2.713    -20.643     21.790      0.000
   664        21   (g)                -51   502     0   693   693   152   292      0.041     -0.463      0.466      0.658      0.000
   665        21   (g)                -51   502     0   691   692   292   234     -1.019     -0.818      0.128      1.313      0.000
   666        21   (g)                -52   503   503   987   987   234   141     -0.044      0.097     -0.153      0.186      0.000
   667        21   (g)                -51   658     0  1114  1114   293   195     -0.445     -0.455     47.424     47.428      0.000
   668        21   (g)                -51   658     0  1116  1116   290   293     -0.215     -0.039      1.662      1.677      0.000
   669        21   (g)                -52   659   659  1115  1115   196   290      0.137     -0.324      2.479      2.504      0.000
   670        21   (g)                -51   536     0   796   797   131   294      0.937      0.392     46.507     46.518      0.000
   671        21   (g)                -51   536     0   798   798   294   246      0.907     -0.547     57.894     57.904      0.000
   672        21   (g)                -52   535   535  1030  1030   246   151      2.828     -0.336    122.843    122.876      0.000
   673        21   (g)                -51   593     0   929   929   295   267      0.510      0.907     -1.681      1.977      0.000
   674        21   (g)                -51   593     0   941   941   147   295     -0.077     -0.225     -0.388      0.455      0.000
   675        21   (g)                -52   619   619   883   883   277   147      0.100      0.092      0.221      0.260      0.000
   676        21   (g)                -51   615     0   781   782   192   296     -0.413     -0.659   -308.745    308.746      0.000
   677        21   (g)                -51   615     0   696   696   296   158      0.471     -0.538   -469.207    469.207      0.000
   678        21   (g)                -52   614   614   694   695   158   275     -0.736     -1.192     -6.723      6.868      0.000
   679        21   (g)                -51   446     0  1026  1026   130   297     -1.426      0.088      2.462      2.846      0.000
   680        21   (g)                -51   446     0  1037  1037   297   146     -0.534     -0.597      1.647      1.831      0.000
   681        21   (g)                -52   582   582  1029  1029   146   150     -0.530     -0.339      0.476      0.789      0.000
   682        21   (g)                -51   571     0  1016  1016   260   298      1.939      0.011    -16.606     16.719      0.000
   683        21   (g)                -51   571     0  1021  1021   298   159      0.048     -0.164     -0.387      0.423      0.000
   684        21   (g)                -53  1011  1011   216   216   122   159     -0.000      0.000    -61.837     61.837      0.000
   685        21   (g)                -51   634     0   709   710   299   282      0.929     -1.276      8.094      8.246      0.000
   686        21   (g)                -51   634     0   711   711   256   299     -0.254     -0.400      5.657      5.676      0.000
   687        21   (g)                -52   563   563   925   925   110   256     -1.496     -1.314     16.575     16.694      0.000
   688        21   (g)                -51   486     0  1047  1047   300   201      0.962      0.961     12.439     12.513      0.000
   689        21   (g)                -51   486     0  1062  1062   132   300     -0.042     -0.182      1.330      1.343      0.000
   690        21   (g)                -52   485   485   742   743   227   132      0.048     -0.196      2.474      2.482      0.000
   691        21   (g)                -51   665     0   997   997   301   234      0.023     -0.336     -0.175      0.379      0.000
   692        21   (g)                -51   665     0   998   998   292   301     -1.005     -0.908      0.732      1.539      0.000
   693        21   (g)                -52   664   664   968   968   152   292      0.003     -0.037      0.037      0.053      0.000
   694        21   (g)                -51   678     0  1059  1059   302   275     -0.193     -0.658     -2.054      2.165      0.000
   695        21   (g)                -51   678     0   703   704   158   302     -0.539     -0.538     -8.838      8.871      0.000
   696        21   (g)                -52   677   677   705   705   296   158      0.467     -0.533   -465.039    465.039      0.000
   697        21   (g)                -51   428     0   748   749   303   210     -1.435      0.873     -0.913      1.911      0.000
   698        21   (g)                -51   428     0   999   999   124   303     -1.265     -0.075     -0.398      1.329      0.000
   699        21   (g)                -53   962   962   121   121   124   116     -0.000      0.000    -19.410     19.410      0.000
   700        21   (g)                -51   509     0  1086  1086   304   236      0.698      2.093    655.366    655.369      0.000
   701        21   (g)                -51   509     0  1092  1092   189   304     -0.119     -0.095     28.028     28.029      0.000
   702         2   (u)                -53  1075  1075   510   510   189     0      0.000      0.000   1239.757   1239.757      0.000
   703        21   (g)                -51   695     0  1063  1063   305   302     -0.349     -0.882    -16.249     16.276      0.000
   704        21   (g)                -51   695     0   732   732   158   305     -0.169      0.320    -12.879     12.884      0.000
   705        21   (g)                -52   696   696   730   731   296   158      0.447     -0.510   -444.749    444.750      0.000
   706        21   (g)                -51   472     0   786   786   222   306     -1.122     -1.214     -5.045      5.309      0.000
   707        21   (g)                -51   472     0   784   785   306   203     -0.134      0.274     -0.681      0.746      0.000
   708        21   (g)                -52   520   520   889   889   203   241      0.804      0.823     -6.371      6.475      0.000
   709        21   (g)                -51   685     0   903   903   307   282      0.752     -0.777      8.581      8.649      0.000
   710        21   (g)                -51   685     0   944   944   299   307      0.033     -0.724      2.697      2.793      0.000
   711        21   (g)                -52   686   686   942   942   256   299     -0.111     -0.175      2.472      2.481      0.000
   712        21   (g)                -51   590     0   991   991   266   308     -0.468     -0.753     33.032     33.044      0.000
   713        21   (g)                -51   590     0  1000  1000   308   123     -0.111      0.200     24.020     24.021      0.000
   714         3   (s)                -52   591   591   975   975   123     0      1.115     -1.209     13.075     13.187      0.500
   715        21   (g)                -51   372     0   783   783   309   192      0.056      0.391   -496.415    496.415      0.000
   716        21   (g)                -51   372     0  1065  1065   191   309     -0.896      0.180   -512.486    512.487      0.000
   717        21   (g)                -53  1042  1042   462   462   191   139      0.000     -0.000  -1798.386   1798.386      0.000
   718        21   (g)                -51   417     0   733   734   310   182      7.065    -11.404     23.818     27.336      0.000
   719        21   (g)                -51   417     0   945   945   160   310      0.921     -1.073      2.930      3.253      0.000
   720        21   (g)                -52   436   436   864   864   107   160      0.533     -1.002      1.766      2.099      0.000
   721        21   (g)                -51   500     0   986   986   311   233      0.026      0.215     -0.241      0.324      0.000
   722        21   (g)                -51   500     0  1001  1001   149   311      1.192      1.829      0.524      2.245      0.000
   723        21   (g)                -52   501   501   969   969   230   149      1.035     -0.030      0.474      1.138      0.000
   724        21   (g)                -51   624     0   876   876   223   312     -0.663      0.151      3.430      3.497      0.000
   725        21   (g)                -51   624     0   946   946   312   118     -0.206     -0.598      4.585      4.628      0.000
   726        21   (g)                -52   545   545   923   923   118   249     -0.552     -0.517      5.675      5.726      0.000
   727        21   (g)                -51   453     0  1033  1033   216   313     -0.934      0.585     70.819     70.827      0.000
   728        21   (g)                -51   453     0  1038  1038   313   136      0.080     -0.243     10.818     10.821      0.000
   729         2   (u)                -52   447   447  1027  1027   136     0     -1.896      0.403     19.655     19.753      0.330
   730         2   (u)                -51   705     0  1061  1061   296     0     -0.157      0.018   -111.376    111.377      0.330
   731        -2   (ubar)             -51   705     0   807   807     0   158      0.569     -0.462   -336.021    336.022      0.330
   732        21   (g)                -52   704   704   805   806   158   305     -0.134      0.255    -10.231     10.235      0.000
   733        21   (g)                -51   718     0   895   895   310   314      4.541     -7.527     16.778     18.942      0.000
   734        21   (g)                -51   718     0   947   947   314   182      2.911     -4.763      9.198     10.760      0.000
   735        21   (g)                -52   541   541   891   891   182   248      4.163     -9.538     23.213     25.439      0.000
   736        21   (g)                -51   606     0   909   909   318   218      8.570    -29.635    107.772    112.101      0.000
   737        21   (g)                -51   606     0   948   948   108   318      1.705     -7.624     27.910     28.983      0.000
   738        21   (g)                -52   542   542   922   922   248   108      0.035      0.060      0.081      0.107      0.000
   739        21   (g)                -51   598     0   768   768   319   219     -0.258     -0.173      0.836      0.892      0.000
   740        21   (g)                -51   598     0  1067  1067   269   319     -0.602      0.232      0.097      0.653      0.000
   741        21   (g)                -52   599   599  1058  1058   134   269      0.084      0.037      0.139      0.167      0.000
   742        21   (g)                -51   690     0  1054  1054   320   132      0.162      0.368      6.228      6.241      0.000
   743        21   (g)                -51   690     0  1068  1068   227   320     -0.647      0.229      4.899      4.947      0.000
   744        21   (g)                -52   484   484  1051  1051   207   227     -0.093      0.138      1.504      1.513      0.000
   745        21   (g)                -51   496     0   980   980   208   321      0.626      0.082      0.765      0.992      0.000
   746        21   (g)                -51   496     0  1002  1002   321   232      0.174      0.440     -0.067      0.478      0.000
   747        21   (g)                -52   497   497   985   985   232   114     -0.351     -0.224      0.614      0.742      0.000
   748        21   (g)                -51   697     0   966   966   303   322     -1.133      0.437     -0.140      1.222      0.000
   749        21   (g)                -51   697     0  1003  1003   322   210     -0.383      0.312     -0.699      0.856      0.000
   750        21   (g)                -52   492   492   982   982   210   117     -0.093     -0.144      0.085      0.191      0.000
   751        -2   (ubar)             -51   636     0   868   868     0   186      5.976     -1.643     24.366     25.144      0.330
   752         2   (u)                -51   636     0   949   949   204     0      4.065     -1.572     17.691     18.223      0.330
   753        21   (g)                -52   635   635   936   936   282   204      0.343      0.062      1.323      1.368      0.000
   754        21   (g)                -51   617     0   933   933   324   111     -0.091     -0.073      0.042      0.124      0.000
   755        21   (g)                -51   617     0   950   950   276   324     -0.045     -3.123      6.278      7.012      0.000
   756        21   (g)                -52   616   616   917   917   238   276      0.175     -0.592      1.068      1.234      0.000
   757         2   (u)                -51   355     0   804   804   325     0      0.274     -0.832    494.200    494.201      0.330
   758        21   (g)                -51   355     0   802   803   143   325     -0.434     -0.073     33.809     33.812      0.000
   759         1   (d)                -53  1076  1076   347   347   143     0     -0.000     -0.000   -107.571    107.571      0.000
   760        21   (g)                -51   625     0   977   977   326   279     -0.302     -0.798     -1.095      1.389      0.000
   761        21   (g)                -51   625     0  1004  1004   167   326      0.114      0.089      0.139      0.201      0.000
   762        21   (g)                -52   333   333   775   776   115   167     -0.051      0.412      0.359      0.549      0.000
   763        21   (g)                -51   506     0   916   916   235   327      7.069     -6.620     18.259     20.668      0.000
   764        21   (g)                -51   506     0   951   951   327   188      1.017     -1.068      2.134      2.594      0.000
   765        21   (g)                -52   507   507   898   898   188   109      0.540     -0.468      2.148      2.264      0.000
   766        21   (g)                -51   461     0  1052  1052   328   139     -0.664     -0.168     -0.844      1.087      0.000
   767        21   (g)                -51   461     0   852   852   219   328     -0.003     -0.343     -1.716      1.750      0.000
   768        21   (g)                -52   739   739   850   851   319   219     -0.235     -0.157      0.761      0.812      0.000
   769        21   (g)                -51   577     0  1088  1088   262   330      0.186      0.361      0.042      0.408      0.000
   770        21   (g)                -51   577     0   831   831   330   242      0.860     -0.478      0.204      1.004      0.000
   771        21   (g)                -52   523   523   829   830   242   145      0.225      0.168     -1.302      1.332      0.000
   772        21   (g)                -51   584     0   927   927   331   264     -0.429     -0.547    -19.637     19.650      0.000
   773        21   (g)                -51   584     0   952   952   156   331      0.292      0.059    -11.793     11.797      0.000
   774        21   (g)                -52   585   585   919   919   241   156      0.305     -0.283     -2.535      2.569      0.000
   775        -1   (dbar)             -51   762     0   973   973     0   167     -0.027     -0.011      1.217      1.261      0.330
   776         1   (d)                -51   762     0  1005  1005   115     0     -0.102      0.013      0.148      0.376      0.330
   777        21   (g)                -52   576   576   971   971   155   115     -0.412     -2.144      5.270      5.704      0.000
   778        21   (g)                -51   329     0  1113  1113   194   333      0.466      0.658   -112.907    112.910      0.000
   779        21   (g)                -51   329     0  1117  1117   333   197      0.057      0.160     -3.376      3.380      0.000
   780        21   (g)                -53  1112  1112   660   660   196   197      0.000      0.000   -116.308    116.308      0.000
   781        21   (g)                -51   676     0  1049  1049   335   296     -0.616     -0.193   -387.847    387.847      0.000
   782        21   (g)                -51   676     0  1070  1070   192   335      0.227     -0.297   -136.255    136.255      0.000
   783        21   (g)                -52   715   715  1048  1048   309   192      0.032      0.222   -281.059    281.059      0.000
   784        21   (g)                -51   707     0   943   943   336   203     -0.764     -0.501     -2.040      2.235      0.000
   785        21   (g)                -51   707     0   953   953   306   336      0.042      0.139     -1.283      1.291      0.000
   786        21   (g)                -52   706   706   902   902   222   306     -0.534     -0.578     -2.403      2.529      0.000
   787        21   (g)                -51   607     0   983   983   337   266     -0.305      0.011     34.003     34.004      0.000
   788        21   (g)                -51   607     0  1006  1006   271   337     -0.206     -0.108      2.157      2.170      0.000
   789        21   (g)                -52   608   608   992   992   217   271     -0.170      0.110     16.958     16.960      0.000
   790        21   (g)                -51   538     0   849   849   138   338     -0.787     -0.644      4.560      4.672      0.000
   791        21   (g)                -51   538     0   954   954   338   247      0.224      0.021      0.600      0.640      0.000
   792        21   (g)                -52   539   539   921   921   247   154      0.469     -0.556      1.422      1.597      0.000
   793        21   (g)                -51   655     0   989   989   339   206      0.411      0.872     -0.159      0.977      0.000
   794        21   (g)                -51   655     0  1007  1007   289   339      0.003      0.433      0.505      0.665      0.000
   795        21   (g)                -52   656   656   996   996   273   289      0.018      0.394     -0.003      0.395      0.000
   796        21   (g)                -51   670     0  1034  1034   131   340      0.528      0.381     35.814     35.819      0.000
   797        21   (g)                -51   670     0  1039  1039   340   294      1.103     -0.408     54.950     54.963      0.000
   798        21   (g)                -52   671   671  1036  1036   294   246      0.214     -0.129     13.637     13.640      0.000
   799        21   (g)                -51   580     0  1028  1028   341   131      0.195     -0.574      4.020      4.065      0.000
   800        21   (g)                -51   580     0  1040  1040   263   341     -0.480     -0.068      2.800      2.841      0.000
   801        21   (g)                -52   581   581  1035  1035   150   263     -0.227     -0.177      0.320      0.430      0.000
   802        21   (g)                -51   758     0  1093  1093   143   342     -0.113      0.298     38.821     38.823      0.000
   803        21   (g)                -51   758     0  1095  1095   342   325     -0.247     -0.567    111.658    111.660      0.000
   804         2   (u)                -52   757   757  1084  1084   325     0      0.200     -0.636    377.529    377.530      0.330
   805        21   (g)                -51   732     0  1064  1064   343   305     -0.260      0.404    -56.837     56.839      0.000
   806        21   (g)                -51   732     0  1071  1071   158   343      0.262     -0.263    -31.841     31.843      0.000
   807        -2   (ubar)             -52   731   731  1066  1066     0   158      0.433     -0.349   -257.574    257.575      0.330
   808        21   (g)                -51   494     0  1055  1055   344   231     -0.137      0.217      0.494      0.556      0.000
   809        21   (g)                -51   494     0  1072  1072   135   344      0.180     -0.525      2.752      2.807      0.000
   810        21   (g)                -52   495   495  1053  1053   221   135      1.825      0.281      7.433      7.659      0.000
   811        21   (g)                -51   575     0   990   990   345   155     -0.415     -0.331      1.929      2.001      0.000
   812        21   (g)                -51   575     0  1008  1008   261   345      0.313      0.116      0.800      0.867      0.000
   813        21   (g)                -52   574   574   965   965   141   261     -0.012      0.408      0.572      0.703      0.000
   814        21   (g)                -51   632     0   995   995   164   346      0.190     -0.304     -0.746      0.828      0.000
   815        21   (g)                -51   632     0  1009  1009   346   281      0.215     -1.568     -0.842      1.793      0.000
   816        21   (g)                -52   631   631   978   978   281   202     -0.073     -0.611     -0.440      0.757      0.000
   817        21   (g)                -51   530     0   857   857   170   347      0.426     -0.339     -7.225      7.246      0.000
   818        21   (g)                -51   530     0   858   858   347   244      0.556     -0.260    -31.678     31.684      0.000
   819        21   (g)                -52   529   529   855   855   244   173      0.167     -0.031    -25.215     25.215      0.000
   820        21   (g)                -51   423     0   832   833   183   348      6.671     -5.104     14.627     16.867      0.000
   821        21   (g)                -51   423     0   834   834   348   199      5.604     -5.185     14.532     16.416      0.000
   822        21   (g)                -52   388   388   866   866   199   176     20.278    -17.889     51.811     58.443      0.000
   823        21   (g)                -51   604     0   875   875   349   113      1.463     -4.120     12.892     13.613      0.000
   824        21   (g)                -51   604     0   956   956   270   349      0.606     -2.824     10.474     10.865      0.000
   825        21   (g)                -52   605   605   932   932   218   270      1.992     -6.678     24.037     25.026      0.000
   826        21   (g)                -51   663     0   877   877   153   350      0.130      0.182     -0.650      0.688      0.000
   827        21   (g)                -51   663     0   957   957   350   288      8.577      3.414    -25.865     27.463      0.000
   828        21   (g)                -52   653   653   939   939   288   125      0.736      0.285     -1.898      2.056      0.000
   829        21   (g)                -51   771     0  1077  1077   351   145     -0.112     -0.105     -0.893      0.906      0.000
   830        21   (g)                -51   771     0  1096  1096   242   351      0.548      0.155     -0.359      0.673      0.000
   831        21   (g)                -52   770   770  1094  1094   330   242      0.648     -0.360      0.153      0.757      0.000
   832        21   (g)                -51   820     0   901   901   183   353      4.180     -3.666     10.806     12.153      0.000
   833        21   (g)                -51   820     0   958   958   353   348      6.474     -5.124     14.151     16.383      0.000
   834        21   (g)                -52   821   821   955   955   348   199      1.621     -1.499      4.202      4.747      0.000
   835        21   (g)                -51   596     0   930   930   105   354     31.982    -26.181     89.034     98.160      0.000
   836        21   (g)                -51   596     0   959   959   354   268      8.489     -6.896     24.567     26.892      0.000
   837        21   (g)                -52   595   595   928   928   268   265      4.523     -3.704     11.806     13.175      0.000
   838        21   (g)                -51   442     0  1017  1017   121   355      2.445     -0.474     -3.369      4.190      0.000
   839        21   (g)                -51   442     0  1022  1022   355   174      0.478     -0.031     -0.195      0.517      0.000
   840        21   (g)                -52   441   441  1018  1018   174   215      0.171     -0.048     -0.273      0.326      0.000
   841        21   (g)                -51   647     0  1060  1060   356   133      0.314      0.172      1.296      1.344      0.000
   842        21   (g)                -51   647     0  1073  1073   286   356     -0.025      0.260     -0.014      0.262      0.000
   843        21   (g)                -52   646   646  1056  1056   252   286     -0.120      0.033      0.029      0.128      0.000
   844        21   (g)                -51   488     0  1085  1085   229   357      0.247     -0.111    -12.784     12.787      0.000
   845        21   (g)                -51   488     0  1097  1097   357   179     -0.605     -0.193    -12.640     12.655      0.000
   846        21   (g)                -52   489   489  1078  1078   179   144     -0.776     -0.146     -7.291      7.333      0.000
   847        21   (g)                -51   518     0   918   918   240   358      1.205     -5.561     32.423     32.919      0.000
   848        21   (g)                -51   518     0   960   960   358   138      0.625     -4.310     21.341     21.781      0.000
   849        21   (g)                -52   790   790   869   869   138   338     -0.739     -0.605      4.283      4.389      0.000
   850        21   (g)                -51   768     0  1045  1045   319   359     -0.202     -0.248      0.757      0.821      0.000
   851        21   (g)                -51   768     0  1074  1074   359   219     -0.034      0.020     -0.350      0.352      0.000
   852        21   (g)                -52   767   767  1069  1069   219   328     -0.002     -0.272     -1.362      1.389      0.000
   853        21   (g)                -41  1104  1104   859   531   361   171     -0.000      0.000      6.037      6.037      0.000
   854        21   (g)                -42  1105  1105   242   242   172   173     -0.000      0.000    -64.227     64.227      0.000
   855        21   (g)                -44   819   819  1106  1106   244   173      0.167     -0.031    -25.215     25.216      0.000
   856        21   (g)                -44   244   244  1107  1107   172   171     -0.936      0.597      4.423      4.560      0.000
   857        21   (g)                -44   817   817  1108  1108   170   347      0.427     -0.339     -7.235      7.256      0.000
   858        21   (g)                -44   818   818  1109  1109   347   244      0.556     -0.260    -31.687     31.693      0.000
   859        21   (g)                -43   853     0  1110  1110   361   170     -0.214      0.033      1.525      1.540      0.000
   860         1   (d)                -61     1     0   382   382   209     0      0.019      0.814   3549.674   3549.674      0.000
   861        -1   (dbar)             -61     2     0   383   383     0   148      0.143     -2.099  -1404.406   1404.408      0.000
   862   5000039   Graviton            62   384   384     0     0     0     0   -627.300    601.918   -277.610   1886.090   1650.593
   863         4   (c)                -62   645   645  1403  1403   101     0     78.618    -62.775    218.954    240.966      1.500
   864        21   (g)                -62   720   720  1126     0   107   160      0.533     -1.002      1.767      2.100      0.000
   865        -2   (ubar)             -62   558   558  1254  1254     0   104    -10.208     -6.866    -13.019     17.915      0.330
   866        21   (g)                -62   822   822  1129     0   199   176     20.278    -17.882     51.827     58.455      0.000
   867        21   (g)                -62   639   639  1140     0   226   140      4.749      4.533    -18.073     19.229      0.000
   868        -2   (ubar)             -62   751   751  1123     0     0   186      5.976     -1.638     24.368     25.145      0.330
   869        21   (g)                -62   849   849  1407  1407   138   338     -0.739     -0.604      4.284      4.389      0.000
   870        -4   (cbar)             -62   392   392  1479  1479     0   193     14.485    -17.579     19.090     29.757      1.500
   871         4   (c)                -62   393   393  1371  1371   109     0      2.928     -4.089     31.794     32.224      1.500
   872        -3   (sbar)             -62   564   564  1312  1312     0   110    -15.779    -14.475    155.867    157.332      0.500
   873        21   (g)                -62   526   526  1421  1421   137   243      2.735     -6.531     21.107     22.263      0.000
   874        21   (g)                -62   439   439  1143     0   211   103      0.212      0.468     10.482     10.495      0.000
   875        21   (g)                -62   823   823  1411  1411   349   113      1.463     -4.118     12.895     13.616      0.000
   876        21   (g)                -62   724   724  1215  1215   223   312     -0.663      0.152      3.430      3.497      0.000
   877        21   (g)                -62   826   826  1136     0   153   350      0.130      0.181     -0.650      0.687      0.000
   878        21   (g)                -62   586   586  1130     0   265   127     31.402    -24.161     81.071     90.235      0.000
   879         2   (u)                -62   478   478  1134     0   225     0      1.091     -1.802     -2.673      3.419      0.330
   880        21   (g)                -62   618   618  1422  1422   111   137      1.568    -13.090     28.258     31.182      0.000
   881        21   (g)                -62   517   517  1410  1410   113   240      1.335     -2.969     17.194     17.499      0.000
   882        21   (g)                -62   465   465  1135     0   140   178      0.549      0.717     -1.803      2.017      0.000
   883        21   (g)                -62   675   675  1138     0   277   355      0.100      0.092      0.221      0.260      0.000
   884        21   (g)                -62   583   583  1593  1593   264   148     -0.197     -1.179    -20.281     20.316      0.000
   885         3   (s)                -62   544   544  1213  1213   249     0     -5.992     -2.376     50.628     51.039      0.500
   886        21   (g)                -62   592   592  1473  1473   267   175      4.231      1.056    -12.320     13.069      0.000
   887        -4   (cbar)             -62   597   597  1384  1384     0   105    292.983   -236.995    831.012    912.463      1.500
   888        21   (g)                -62   643   643  1405  1405   154   285      5.159     -3.324     15.191     16.384      0.000
   889        21   (g)                -62   708   708  1598  1598   203   260      0.805      0.814     -6.372      6.474      0.000
   890        -2   (ubar)             -62   601   601  1218  1218     0   157      0.107      0.698     10.657     10.685      0.330
   891        21   (g)                -62   735   735  1416  1416   182   248      4.163     -9.534     23.221     25.445      0.000
   892        21   (g)                -62   661   661  1472  1472   175   174      2.191     -0.381     -3.995      4.572      0.000
   893        21   (g)                -62   567   567  1377  1377   176   187     33.158    -30.266     86.601     97.545      0.000
   894        21   (g)                -62   480   480  1463  1463   220   120     -0.662      0.416     -5.008      5.068      0.000
   895        21   (g)                -62   733   733  1418  1418   310   314      4.541     -7.525     16.785     18.947      0.000
   896        21   (g)                -62   418   418  1131     0   127   183      1.753     -1.130      4.310      4.788      0.000
   897        21   (g)                -62   514   514  1123     0   186   238      0.571     -0.179      2.345      2.420      0.000
   898        21   (g)                -62   765   765  1372  1372   188   109      0.540     -0.467      2.149      2.264      0.000
   899        21   (g)                -62   565   565  1375  1375   257   235      1.604     -1.126      3.430      3.951      0.000
   900        21   (g)                -62   621   621  1478  1478   193   102      4.212     -6.510      6.706     10.252      0.000
   901        21   (g)                -62   832   832  1131     0   183   353      4.180     -3.665     10.809     12.155      0.000
   902        21   (g)                -62   786   786  1251  1251   222   126     -0.534     -0.582     -2.402      2.529      0.000
   903        21   (g)                -62   709   709  1309  1309   307   282      0.753     -0.775      8.581      8.649      0.000
   904        21   (g)                -62   654   654  1467  1467   125   205      2.079      1.362     -7.739      8.129      0.000
   905        21   (g)                -62   471   471  1122     0   209   112     -0.398      0.158     85.066     85.067      0.000
   906        -2   (ubar)             -62   469   469  1203  1203     0   211     -0.488      1.556     68.754     68.774      0.330
   907        21   (g)                -62   528   528  1128     0   212   107      0.656     -1.189      5.668      5.829      0.000
   908        21   (g)                -62   603   603  1143     0   103   213      0.137      1.747     38.256     38.297      0.000
   909        21   (g)                -62   736   736  1124     0   318   218      8.571    -29.613    107.798    112.120      0.000
   910        21   (g)                -62   464   464  1135     0   178   220      0.392      0.526     -0.968      1.169      0.000
   911         2   (u)                -62   470   470  1122     0   112     0     -0.368     -0.067     52.560     52.562      0.330
   912        21   (g)                -62   556   556  1252  1252   254   222     -0.185     -1.267     -1.200      1.755      0.000
   913        21   (g)                -62   622   622  1217  1217   157   278     -0.486      1.455     12.760     12.851      0.000
   914        21   (g)                -62   479   479  1137     0   106   298     -0.551     -0.620     -1.189      1.449      0.000
   915        21   (g)                -62   637   637  1466  1466   205   283      2.956      3.073    -13.944     14.581      0.000
   916        21   (g)                -62   763   763  1374  1374   235   327      7.069     -6.617     18.265     20.673      0.000
   917        21   (g)                -62   756   756  1127     0   238   276      0.175     -0.592      1.068      1.234      0.000
   918        21   (g)                -62   847   847  1409  1409   240   358      1.205     -5.554     32.428     32.923      0.000
   919        21   (g)                -62   774   774  1596  1596   241   156      0.305     -0.287     -2.534      2.569      0.000
   920        21   (g)                -62   527   527  1128     0   243   212      0.573     -0.392      2.265      2.369      0.000
   921        21   (g)                -62   792   792  1125     0   247   154      0.469     -0.556      1.422      1.597      0.000
   922        21   (g)                -62   738   738  1415  1415   248   108      0.035      0.060      0.081      0.107      0.000
   923        21   (g)                -62   726   726  1141     0   118   249     -0.552     -0.515      5.676      5.726      0.000
   924        21   (g)                -62   557   557  1253  1253   104   254     -1.069     -0.260     -1.362      1.750      0.000
   925        21   (g)                -62   687   687  1145     0   110   256     -1.496     -1.310     16.576     16.695      0.000
   926        21   (g)                -62   566   566  1376  1376   187   257     21.205    -18.850     55.845     62.639      0.000
   927        21   (g)                -62   772   772  1594  1594   331   264     -0.427     -0.576    -19.637     19.650      0.000
   928        21   (g)                -62   837   837  1130     0   268   265      4.523     -3.703     11.810     13.177      0.000
   929        21   (g)                -62   673   673  1474  1474   295   267      0.510      0.904     -1.682      1.976      0.000
   930        21   (g)                -62   835   835  1383  1383   105   354     31.983    -26.167     89.059     98.179      0.000
   931         2   (u)                -62   602   602  1144     0   213     0      0.659      3.847     72.801     72.907      0.330
   932        21   (g)                -62   825   825  1124     0   218   270      1.992     -6.673     24.042     25.031      0.000
   933        21   (g)                -62   754   754  1423  1423   324   111     -0.091     -0.073      0.042      0.124      0.000
   934        21   (g)                -62   620   620  1477  1477   102   277      0.462     -1.751      1.542      2.379      0.000
   935        21   (g)                -62   623   623  1216  1216   278   223      0.161      0.274      8.269      8.275      0.000
   936        21   (g)                -62   753   753  1146     0   282   204      0.343      0.063      1.323      1.368      0.000
   937        21   (g)                -62   638   638  1140     0   283   226      8.645      7.609    -33.325     35.259      0.000
   938        21   (g)                -62   644   644  1404  1404   285   101      6.661     -4.857     17.165     19.042      0.000
   939        21   (g)                -62   828   828  1133     0   288   215      0.737      0.282     -1.898      2.055      0.000
   940        21   (g)                -62   662   662  1136     0   291   153      0.336      0.338     -0.518      0.704      0.000
   941        21   (g)                -62   674   674  1475  1475   147   295     -0.077     -0.225     -0.388      0.456      0.000
   942        21   (g)                -62   711   711  1145     0   256   299     -0.111     -0.174      2.472      2.481      0.000
   943        21   (g)                -62   784   784  1142     0   336   203     -0.764     -0.504     -2.040      2.235      0.000
   944        21   (g)                -62   710   710  1310  1310   299   307      0.033     -0.723      2.698      2.794      0.000
   945        21   (g)                -62   719   719  1126     0   160   310      0.921     -1.072      2.931      3.254      0.000
   946        21   (g)                -62   725   725  1141     0   312   118     -0.206     -0.597      4.585      4.628      0.000
   947        21   (g)                -62   734   734  1417  1417   314   182      2.911     -4.762      9.202     10.763      0.000
   948        21   (g)                -62   737   737  1414  1414   108   318      1.705     -7.619     27.917     28.988      0.000
   949         2   (u)                -62   752   752  1146     0   204     0      4.065     -1.569     17.693     18.224      0.330
   950        21   (g)                -62   755   755  1127     0   276   324     -0.045     -3.122      6.281      7.014      0.000
   951        21   (g)                -62   764   764  1373  1373   327   188      1.017     -1.068      2.135      2.595      0.000
   952        21   (g)                -62   773   773  1595  1595   156   331      0.293      0.041    -11.793     11.797      0.000
   953        21   (g)                -62   785   785  1182     0   306   122      0.042      0.137     -1.283      1.291      0.000
   954        21   (g)                -62   791   791  1125     0   338   247      0.224      0.021      0.600      0.640      0.000
   955        21   (g)                -62   834   834  1129     0   348   199      1.621     -1.499      4.204      4.748      0.000
   956        21   (g)                -62   824   824  1412  1412   270   349      0.606     -2.821     10.476     10.867      0.000
   957        21   (g)                -62   827   827  1139     0   350   288      8.580      3.374    -25.868     27.462      0.000
   958        21   (g)                -62   833   833  1379  1379   353   348      6.474     -5.122     14.156     16.387      0.000
   959        21   (g)                -62   836   836  1382  1382   354   268      8.490     -6.892     24.573     26.896      0.000
   960        21   (g)                -62   848   848  1408  1408   358   138      0.625     -4.305     21.345     21.784      0.000
   961        -1   (dbar)             -61     1     0   498   498     0   114     -2.038     -0.650    177.474    177.487      0.000
   962        21   (g)                -61     2     0   699   699   305   116      0.275     -1.469    -19.380     19.438      0.000
   963        21   (g)                -62   612   612  1169     0   190   250      0.145      0.338     -0.135      0.391      0.000
   964        21   (g)                -62   340   340  1561  1561   202   302     -1.026     -2.790     -3.550      4.631      0.000
   965        21   (g)                -62   813   813  1285  1285   141   261     -0.018      0.401      0.557      0.687      0.000
   966        21   (g)                -62   748   748  1167     0   303   269     -1.129      0.383     -0.169      1.204      0.000
   967        -1   (dbar)             -62   609   609  1333  1333     0   217     -0.680     -0.642     26.457     26.476      0.330
   968        21   (g)                -62   693   693  1177     0   152   292      0.003     -0.038      0.039      0.054      0.000
   969        21   (g)                -62   723   723  1514  1514   230   149      1.030     -0.058      0.489      1.142      0.000
   970        -3   (sbar)             -62   269   269  1175     0     0   344      0.153      0.352      1.512      1.638      0.500
   971        21   (g)                -62   777   777  1281  1281   155   115     -0.472     -2.181      5.342      5.790      0.000
   972        21   (g)                -62   633   633  1194     0   198   275     -0.133     -0.017     -0.140      0.194      0.000
   973        -1   (dbar)             -62   775   775  1568  1568     0   201     -0.041     -0.017      1.217      1.262      0.330
   974        21   (g)                -62   264   264  1172     0   177   152     -0.880      0.081      1.316      1.585      0.000
   975         3   (s)                -62   714   714  1148     0   123     0      0.964     -1.261     13.134     13.239      0.500
   976        21   (g)                -62   499   499  1169     0   233   190      2.205      2.293     -1.152      3.384      0.000
   977        21   (g)                -62   760   760  1566  1566   326   231     -0.286     -0.893     -1.068      1.422      0.000
   978        21   (g)                -62   816   816  1199     0   281   202     -0.067     -0.657     -0.418      0.782      0.000
   979        -2   (ubar)             -62   379   379  1231  1231     0   134      1.488      2.816      1.260      3.441      0.330
   980        21   (g)                -62   745   745  1183     0   208   321      0.618      0.070      0.770      0.990      0.000
   981         2   (u)                -62   549   549  1506  1506   206     0      0.075      0.272      0.610      0.749      0.330
   982        21   (g)                -62   750   750  1516  1516   210   117     -0.094     -0.148      0.089      0.197      0.000
   983        21   (g)                -62   787   787  1330  1330   337   266     -0.695     -0.114     34.001     34.008      0.000
   984        21   (g)                -62   491   491  1161     0   117   142     -0.201      0.272     -0.049      0.342      0.000
   985        21   (g)                -62   747   747  1185     0   232   297     -0.358     -0.232      0.618      0.751      0.000
   986        21   (g)                -62   721   721  1166     0   311   163      0.030      0.194     -0.248      0.316      0.000
   987        21   (g)                -62   666   666  1178     0   234   141     -0.042      0.084     -0.156      0.182      0.000
   988        21   (g)                -62   627   627  1200     0   245   328     -0.188     -0.229     -0.369      0.473      0.000
   989        21   (g)                -62   793   793  1507  1507   339   206      0.415      0.827     -0.184      0.943      0.000
   990        21   (g)                -62   811   811  1176     0   345   319     -0.437     -0.341      1.936      2.014      0.000
   991        21   (g)                -62   712   712  1329  1329   266   308     -0.848     -0.875     33.056     33.078      0.000
   992        21   (g)                -62   789   789  1155     0   217   227     -0.364      0.048     16.954     16.957      0.000
   993        21   (g)                -62   657   657  1164     0   250   273      0.032      0.142      0.090      0.171      0.000
   994        21   (g)                -62   626   626  1201     0   279   245      0.152     -0.153      0.208      0.300      0.000
   995        21   (g)                -62   814   814  1196     0   164   346      0.200     -0.364     -0.731      0.841      0.000
   996        21   (g)                -62   795   795  1156     0   273   286      0.019      0.379     -0.016      0.379      0.000
   997        21   (g)                -62   691   691  1178     0   301   234      0.025     -0.357     -0.162      0.393      0.000
   998        21   (g)                -62   692   692  1174     0   292   146     -1.012     -0.943      0.752      1.575      0.000
   999        21   (g)                -62   698   698  1519  1519   124   303     -1.258     -0.142     -0.410      1.331      0.000
  1000        21   (g)                -62   713   713  1151     0   308   216     -0.387      0.112     24.013     24.017      0.000
  1001        21   (g)                -62   722   722  1163     0   149   262      1.189      1.759      0.475      2.176      0.000
  1002        21   (g)                -62   746   746  1229  1229   321   150      0.176      0.419     -0.080      0.461      0.000
  1003        21   (g)                -62   749   749  1517  1517   322   210     -0.373      0.253     -0.714      0.844      0.000
  1004        21   (g)                -62   761   761  1195     0   167   326      0.113      0.086      0.138      0.198      0.000
  1005         1   (d)                -62   776   776  1280  1280   115     0     -0.103      0.004      0.146      0.375      0.330
  1006        21   (g)                -62   788   788  1150     0   271   337     -0.231     -0.116      2.159      2.174      0.000
  1007        21   (g)                -62   794   794  1508  1508   289   339     -0.002      0.425      0.489      0.648      0.000
  1008        21   (g)                -62   812   812  1171     0   261   356      0.304      0.110      0.800      0.863      0.000
  1009        21   (g)                -62   815   815  1199     0   346   281      0.228     -1.670     -0.780      1.857      0.000
  1010        21   (g)                -61     1     0   642   642   159   159     -0.317     -0.862      1.828      2.046      0.000
  1011        21   (g)                -61     2     0   684   684   119   119      0.985     -0.530    -61.877     61.887      0.000
  1012         4   (c)                -62   217   217  1249  1249   122     0     -4.156     -0.236    -24.010     24.414      1.500
  1013        21   (g)                -62   640   640  1470  1470   284   291      2.571      0.533     -3.924      4.721      0.000
  1014        21   (g)                -62   573   573  1133     0   215   125      0.847      0.444     -2.654      2.821      0.000
  1015        -4   (cbar)             -62   220   220  1142     0     0   336     -3.551     -0.972     -7.332      8.340      1.500
  1016        21   (g)                -62   682   682  1597  1597   260   241      2.193     -0.156    -16.443     16.589      0.000
  1017        21   (g)                -62   838   838  1132     0   121   284      2.437     -0.690     -3.278      4.142      0.000
  1018        21   (g)                -62   840   840  1132     0   174   121      0.172     -0.062     -0.269      0.326      0.000
  1019        21   (g)                -62   572   572  1182     0   126   306     -0.139     -0.042     -1.183      1.192      0.000
  1020        21   (g)                -62   641   641  1137     0   120   106     -0.213      0.071     -0.368      0.432      0.000
  1021        21   (g)                -62   683   683  1134     0   298   225      0.052     -0.176     -0.420      0.458      0.000
  1022        21   (g)                -62   839   839  1138     0   355   147      0.456     -0.105     -0.168      0.498      0.000
  1023        21   (g)                -61     1     0   443   443   114   128     -0.072     -0.015    426.266    426.266      0.000
  1024         1   (d)                -61     2     0   444   444   128     0      0.948      0.436     -2.355      2.576      0.000
  1025        21   (g)                -62   445   445  1153     0   151   143     -0.616      0.499     83.062     83.066      0.000
  1026        21   (g)                -62   679   679  1172     0   130   177     -1.352      0.122      2.203      2.588      0.000
  1027         2   (u)                -62   729   729  1184     0   136     0     -1.880      0.411     19.326     19.424      0.330
  1028        21   (g)                -62   799   799  1147     0   341   196      0.203     -0.570      4.007      4.053      0.000
  1029        21   (g)                -62   681   681  1174     0   146   301     -0.470     -0.311      0.351      0.664      0.000
  1030        21   (g)                -62   672   672  1323  1323   246   313      2.813     -0.337    123.340    123.372      0.000
  1031         1   (d)                -62   451   451  1355  1355   114     0      1.836      0.563     -1.201      2.289      0.330
  1032        -2   (ubar)             -62   452   452  1359  1359     0   300      0.554      0.673      2.145      2.339      0.330
  1033        21   (g)                -62   727   727  1151     0   216   151     -0.944      0.584     70.681     70.690      0.000
  1034        21   (g)                -62   796   796  1154     0   131   294      0.523      0.381     35.944     35.949      0.000
  1035        21   (g)                -62   801   801  1185     0   150   232     -0.205     -0.167      0.264      0.374      0.000
  1036        21   (g)                -62   798   798  1149     0   294   340      0.212     -0.129     13.665     13.667      0.000
  1037        21   (g)                -62   680   680  1186     0   297   290     -0.499     -0.581      1.495      1.680      0.000
  1038        21   (g)                -62   728   728  1322  1322   313   132      0.079     -0.243     10.810     10.813      0.000
  1039        21   (g)                -62   797   797  1149     0   340   246      1.096     -0.408     55.118     55.131      0.000
  1040        21   (g)                -62   800   800  1150     0   263   271     -0.473     -0.064      2.702      2.744      0.000
  1041        21   (g)                -61     1     0   648   648   139   139      3.386     -0.202     42.087     42.224      0.000
  1042        21   (g)                -61     2     0   717   717   133   133     -2.111      1.131  -1798.325   1798.326      0.000
  1043        21   (g)                -62   466   466  1173     0   166   361     -0.181      0.307      1.049      1.108      0.000
  1044        21   (g)                -62   600   600  1197     0   231   330      0.176     -0.180     -0.065      0.260      0.000
  1045        21   (g)                -62   850   850  1176     0   319   155     -0.139     -0.251      0.763      0.815      0.000
  1046        21   (g)                -62   568   568  1160     0   259   242      0.213      0.053     -0.214      0.307      0.000
  1047        21   (g)                -62   688   688  1358  1358   300   320      1.964      0.901     12.382     12.569      0.000
  1048        21   (g)                -62   783   783  1527  1527   309   343     -0.298      0.398   -281.050    281.050      0.000
  1049        21   (g)                -62   781   781  1168     0   335   191     -1.071      0.051   -387.809    387.810      0.000
  1050        21   (g)                -62   374   374  1195     0   201   167      0.248      0.340      0.428      0.600      0.000
  1051        21   (g)                -62   744   744  1188     0   207   236      0.028      0.130      1.505      1.511      0.000
  1052        21   (g)                -62   766   766  1194     0   328   198     -0.655     -0.168     -0.817      1.061      0.000
  1053        21   (g)                -62   810   810  1179     0   221   135      2.431      0.245      7.347      7.743      0.000
  1054        21   (g)                -62   742   742  1190     0   320   251      0.662      0.338      6.212      6.257      0.000
  1055        21   (g)                -62   808   808  1175     0   344   166     -0.095      0.214      0.499      0.551      0.000
  1056        21   (g)                -62   843   843  1157     0   252   322     -0.114      0.032      0.034      0.123      0.000
  1057        21   (g)                -62   613   613  1196     0   275   164      0.242     -0.262     -0.702      0.787      0.000
  1058        21   (g)                -62   741   741  1183     0   134   208      0.097      0.036      0.136      0.170      0.000
  1059        21   (g)                -62   694   694  1198     0   302   219     -0.191     -0.657     -2.048      2.159      0.000
  1060        21   (g)                -62   841   841  1171     0   356   221      0.420      0.166      1.281      1.359      0.000
  1061         2   (u)                -62   730   730  1193     0   296     0     -0.288      0.088   -111.366    111.367      0.330
  1062        21   (g)                -62   689   689  1147     0   132   341      0.065     -0.188      1.329      1.343      0.000
  1063        21   (g)                -62   703   703  1265  1265   305   244     -0.367     -0.871    -16.236     16.264      0.000
  1064        21   (g)                -62   805   805  1170     0   343   194     -0.327      0.440    -56.823     56.826      0.000
  1065        21   (g)                -62   716   716  1168     0   191   309     -1.498      0.502   -512.432    512.434      0.000
  1066        -2   (ubar)             -62   807   807  1529  1529     0   335      0.131     -0.187   -257.584    257.584      0.330
  1067        21   (g)                -62   740   740  1157     0   269   252     -0.572      0.231      0.121      0.629      0.000
  1068        21   (g)                -62   743   743  1155     0   227   263     -0.251      0.205      4.918      4.929      0.000
  1069        21   (g)                -62   852   852  1198     0   219   255     -0.003     -0.271     -1.363      1.390      0.000
  1070        21   (g)                -62   782   782  1193     0   192   296      0.067     -0.211   -136.260    136.260      0.000
  1071        21   (g)                -62   806   806  1191     0   158   192      0.225     -0.243    -31.851     31.853      0.000
  1072        21   (g)                -62   809   809  1181     0   135   180      0.404     -0.538      2.739      2.820      0.000
  1073        21   (g)                -62   842   842  1156     0   286   289     -0.015      0.260     -0.013      0.260      0.000
  1074        21   (g)                -62   851   851  1159     0   359   179     -0.034      0.020     -0.348      0.350      0.000
  1075         2   (u)                -61     1     0   702   702   128     0     -0.083      0.698   1239.751   1239.751      0.000
  1076         1   (d)                -61     2     0   759   759   116     0     -0.311      3.061   -107.551    107.595      0.000
  1077        21   (g)                -62   829   829  1162     0   351   280     -0.114     -0.079     -0.894      0.905      0.000
  1078        21   (g)                -62   846   846  1159     0   179   351     -0.797      0.062     -7.290      7.334      0.000
  1079         1   (d)                -62   511   511  1241  1241   128     0     -0.571      0.822    -46.316     46.328      0.330
  1080        21   (g)                -62   628   628  1158     0   144   145      0.013      0.439     -6.861      6.875      0.000
  1081        21   (g)                -62   487   487  1522  1522   145   359     -0.170      0.600     -3.617      3.670      0.000
  1082        21   (g)                -62   579   579  1188     0   251   207      0.378      0.485      4.510      4.552      0.000
  1083        21   (g)                -62   552   552  1189     0   236   342      0.049     -0.142     19.338     19.338      0.000
  1084         2   (u)                -62   804   804  1557  1557   116     0      0.175     -0.423    377.518    377.519      0.330
  1085        21   (g)                -62   844   844  1525  1525   229   357      0.210      0.253    -12.783     12.787      0.000
  1086        21   (g)                -62   700   700  1326  1326   304   293      0.654      2.462    655.391    655.396      0.000
  1087        21   (g)                -62   630   630  1191     0   169   158      0.127     -0.184    -11.211     11.213      0.000
  1088        21   (g)                -62   769   769  1163     0   262   311      0.185      0.367      0.046      0.413      0.000
  1089        21   (g)                -62   551   551  1181     0   180   345     -0.149     -0.501      3.376      3.417      0.000
  1090        21   (g)                -62   578   578  1161     0   142   230     -0.111      0.340     -0.046      0.361      0.000
  1091        21   (g)                -62   629   629  1162     0   280   287     -0.333     -0.461     -4.616      4.651      0.000
  1092        21   (g)                -62   701   701  1187     0   189   114     -0.121     -0.079     28.027     28.028      0.000
  1093        21   (g)                -62   802   802  1153     0   143   304     -0.116      0.320     38.826     38.827      0.000
  1094        21   (g)                -62   831   831  1197     0   330   279      0.647     -0.351      0.148      0.751      0.000
  1095        21   (g)                -62   803   803  1187     0   342   189     -0.255     -0.504    111.650    111.652      0.000
  1096        21   (g)                -62   830   830  1160     0   242   233      0.547      0.170     -0.357      0.675      0.000
  1097        21   (g)                -62   845   845  1524  1524   357   333     -0.642      0.167    -12.639     12.656      0.000
  1098        -2   (ubar)             -61     1     0   225   225     0   148     -1.366     -0.531      0.496      1.547      0.000
  1099        21   (g)                -61     2     0   226   226   148   128      3.636      0.175    -19.556     19.892      0.000
  1100        -2   (ubar)             -62   651   651  1242  1242     0   128      0.087     -0.295      0.986      1.084      0.330
  1101        21   (g)                -62   559   559  1559  1559   255   170      1.983     -0.548    -16.677     16.804      0.000
  1102        21   (g)                -62   649   649  1165     0   287   124     -0.205     -0.199     -1.405      1.434      0.000
  1103        21   (g)                -62   650   650  1166     0   163   259      0.405      0.685     -1.963      2.118      0.000
  1104        21   (g)                -61     1     0   853   853   173   173     -0.440      1.315      5.954      6.113      0.000
  1105        21   (g)                -61     2     0   854   854   171   171     -1.614     -0.758    -64.229     64.253      0.000
  1106        21   (g)                -62   855   855  1192     0   244   347     -0.467     -0.329    -25.208     25.215      0.000
  1107        21   (g)                -62   856   856  1180     0   172   130     -1.267      1.574      4.270      4.724      0.000
  1108        21   (g)                -62   857   857  1558  1558   170   116      0.245     -0.422     -7.187      7.203      0.000
  1109        21   (g)                -62   858   858  1192     0   347   169     -0.239     -0.633    -31.645     31.652      0.000
  1110        21   (g)                -62   859   859  1173     0   361   172     -0.326      0.367      1.495      1.573      0.000
  1111        21   (g)                -61     1     0   327   327   197   197      0.941      0.658     51.579     51.592      0.000
  1112        21   (g)                -61     2     0   780   780   195   195     -1.799      0.423   -116.299    116.313      0.000
  1113        21   (g)                -62   778   778  1170     0   194   229     -1.281      1.069   -112.909    112.921      0.000
  1114        21   (g)                -62   667   667  1154     0   293   131      0.420      0.150     47.423     47.425      0.000
  1115        21   (g)                -62   669   669  1148     0   196   123      0.183     -0.292      2.478      2.502      0.000
  1116        21   (g)                -62   668   668  1184     0   290   136     -0.184     -0.017      1.666      1.676      0.000
  1117        21   (g)                -62   779   779  1158     0   333   144      0.004      0.172     -3.377      3.381      0.000
  1118         2   (u)                -63     1     0  1209  1209   362     0     -0.092     -0.361    745.505    745.505      0.330
  1119         1   (d)                -63     1     0  1592  1592   148     0     -0.048      0.212    537.730    537.730      0.330
  1120         2   (u)                -63     1     0  1208  1208   364     0      0.110     -1.076    220.503    220.505      0.330
  1121      2203   (uu_1)             -63     2     0  1266  1266     0   305     -0.153     -0.369  -3404.870   3404.871      0.771
  1122         2   (u)                -73   905   911  1207  1207   209     0     -0.766      0.091    137.626    137.630      0.594
  1123        -2   (ubar)             -73   868   897  1425  1425     0   238      6.548     -1.817     26.713     27.566      0.353
  1124        21   (g)                -73   909   932  1413  1413   318   270     10.563    -36.287    131.841    137.151      0.218
  1125        21   (g)                -73   921   954  1406  1406   338   154      0.693     -0.535      2.022      2.238      0.393
  1126        21   (g)                -73   864   945  1419  1419   107   310      1.453     -2.074      4.698      5.353      0.422
  1127        21   (g)                -73   917   950  1424  1424   238   324      0.131     -3.714      7.349      8.248      0.457
  1128        21   (g)                -73   907   920  1420  1420   243   107      1.230     -1.581      7.933      8.198      0.506
  1129        21   (g)                -73   866   955  1378  1378   348   176     21.899    -19.381     56.031     63.203      0.189
  1130        21   (g)                -73   878   928  1381  1381   268   127     35.925    -27.864     92.881    103.412      0.490
  1131        21   (g)                -73   896   901  1380  1380   127   353      5.933     -4.795     15.119     16.943      0.533
  1132        21   (g)                -73  1017  1018  1471  1471   174   284      2.608     -0.752     -3.548      4.468      0.087
  1133        21   (g)                -73   939  1014  1139     0   288   125      1.584      0.727     -4.552      4.876      0.154
  1134         2   (u)                -73   879  1021  1461  1461   298     0      1.143     -1.978     -3.093      3.877      0.500
  1135        21   (g)                -73   882   910  1464  1464   140   220      0.941      1.243     -2.771      3.186      0.202
  1136        21   (g)                -73   877   940  1469  1469   291   350      0.466      0.520     -1.168      1.391      0.290
  1137        21   (g)                -73   914  1020  1462  1462   120   298     -0.764     -0.550     -1.557      1.881      0.477
  1138        21   (g)                -73   883  1022  1476  1476   277   147      0.557     -0.013      0.053      0.757      0.510
  1139        21   (g)                -73   957  1133  1468  1468   350   125     10.164      4.101    -30.420     32.338      0.528
  1140        21   (g)                -73   867   937  1465  1465   283   140     13.393     12.142    -51.399     54.488      0.539
  1141        21   (g)                -73   923   946  1214  1214   312   249     -0.758     -1.112     10.261     10.354      0.334
  1142        -4   (cbar)             -73   943  1015  1599  1599     0   203     -4.315     -1.477     -9.372     10.576      1.796
  1143        21   (g)                -73   874   908  1144     0   211   213      0.349      2.214     48.739     48.791      0.333
  1144         2   (u)                -73   931  1143  1202  1202   211     0      1.008      6.061    121.540    121.698      0.816
  1145        21   (g)                -73   925   942  1311  1311   110   299     -1.607     -1.484     19.048     19.176      0.294
  1146         2   (u)                -73   936   949  1308  1308   282     0      4.408     -1.506     19.015     19.592      0.755
  1147        21   (g)                -73  1028  1062  1152     0   132   196      0.268     -0.758      5.336      5.396      0.004
  1148         3   (s)                -73   975  1115  1152     0   196     0      1.147     -1.554     15.611     15.740      0.559
  1149        21   (g)                -73  1036  1039  1324  1324   294   246      1.308     -0.538     68.783     68.798      0.133
  1150        21   (g)                -73  1006  1040  1331  1331   263   337     -0.703     -0.180      4.860      4.917      0.179
  1151        21   (g)                -73  1000  1033  1328  1328   308   151     -1.331      0.696     94.694     94.706      0.186
  1152         3   (s)                -73  1147  1148  1321  1321   132     0      1.415     -2.312     20.947     21.136      0.784
  1153        21   (g)                -73  1025  1093  1327  1327   151   304     -0.732      0.818    121.887    121.893      0.282
  1154        21   (g)                -73  1034  1114  1325  1325   293   294      0.943      0.530     83.366     83.374      0.386
  1155        21   (g)                -73   992  1068  1332  1332   217   263     -0.616      0.253     21.872     21.886      0.446
  1156        21   (g)                -73   996  1073  1164     0   273   289      0.004      0.638     -0.029      0.640      0.034
  1157        21   (g)                -73  1056  1067  1167     0   269   322     -0.686      0.263      0.155      0.752      0.038
  1158        21   (g)                -73  1080  1117  1523  1523   333   145      0.017      0.612    -10.238     10.256      0.063
  1159        21   (g)                -73  1074  1078  1521  1521   359   351     -0.831      0.082     -7.638      7.684      0.080
  1160        21   (g)                -73  1046  1096  1511  1511   259   233      0.760      0.224     -0.572      0.982      0.100
  1161        21   (g)                -73   984  1090  1515  1515   117   230     -0.312      0.612     -0.095      0.702      0.111
  1162        21   (g)                -73  1077  1091  1165     0   351   287     -0.447     -0.541     -5.510      5.555      0.115
  1163        21   (g)                -73  1001  1088  1513  1513   149   311      1.374      2.126      0.521      2.589      0.156
  1164        21   (g)                -73   993  1156  1509  1509   250   289      0.036      0.780      0.061      0.811      0.210
  1165        21   (g)                -73  1102  1162  1520  1520   351   124     -0.652     -0.739     -6.915      6.989      0.250
  1166        21   (g)                -73   986  1103  1512  1512   311   259      0.434      0.878     -2.211      2.434      0.275
  1167        21   (g)                -73   966  1157  1518  1518   303   322     -1.815      0.646     -0.013      1.956      0.338
  1168        21   (g)                -73  1049  1065  1528  1528   335   309     -2.568      0.554   -900.241    900.245      0.385
  1169        21   (g)                -73   963   976  1510  1510   233   250      2.350      2.631     -1.287      3.775      0.389
  1170        21   (g)                -73  1064  1113  1526  1526   343   229     -1.608      1.509   -169.732    169.747      0.469
  1171        21   (g)                -73  1008  1060  1179     0   261   221      0.724      0.276      2.082      2.222      0.050
  1172        21   (g)                -73   974  1026  1288  1288   130   152     -2.232      0.203      3.520      4.173      0.079
  1173        21   (g)                -73  1043  1110  1180     0   166   172     -0.506      0.673      2.544      2.681      0.082
  1174        21   (g)                -73   998  1029  1177     0   292   301     -1.482     -1.254      1.104      2.239      0.158
  1175        -3   (sbar)             -73   970  1055  1290  1290     0   166      0.059      0.566      2.011      2.189      0.652
  1176        21   (g)                -73   990  1045  1282  1282   345   155     -0.575     -0.593      2.699      2.829      0.191
  1177        21   (g)                -73   968  1174  1287  1287   152   301     -1.479     -1.292      1.142      2.293      0.309
  1178        21   (g)                -73   987   997  1286  1286   301   141     -0.017     -0.273     -0.319      0.575      0.394
  1179        21   (g)                -73  1053  1171  1284  1284   261   135      3.155      0.521      9.429      9.964      0.405
  1180        21   (g)                -73  1107  1173  1289  1289   166   130     -1.773      2.247      6.814      7.405      0.458
  1181        21   (g)                -73  1072  1089  1283  1283   135   345      0.254     -1.040      6.115      6.237      0.598
  1182        21   (g)                -73   953  1019  1250  1250   126   122     -0.097      0.094     -2.467      2.483      0.255
  1183        21   (g)                -73   980  1058  1230  1230   134   321      0.715      0.106      0.906      1.161      0.063
  1184         2   (u)                -73  1027  1116  1227  1227   290     0     -2.064      0.394     20.992     21.100      0.396
  1185        21   (g)                -73   985  1035  1186     0   150   297     -0.563     -0.399      0.881      1.124      0.104
  1186        21   (g)                -73  1037  1185  1228  1228   150   290     -1.063     -0.980      2.376      2.804      0.356
  1187        21   (g)                -73  1092  1095  1189     0   342   114     -0.376     -0.583    139.677    139.679      0.148
  1188        21   (g)                -73  1051  1082  1190     0   251   236      0.407      0.615      6.015      6.063      0.177
  1189        21   (g)                -73  1083  1187  1356  1356   236   114     -0.327     -0.725    159.015    159.017      0.355
  1190        21   (g)                -73  1054  1188  1357  1357   320   236      1.069      0.953     12.228     12.320      0.454
  1191        21   (g)                -73  1071  1087  1263  1263   169   192      0.351     -0.427    -43.062     43.066      0.185
  1192        21   (g)                -73  1106  1109  1264  1264   244   169     -0.706     -0.962    -56.853     56.867      0.367
  1193         2   (u)                -73  1061  1070  1262  1262   192     0     -0.221     -0.123   -247.626    247.627      0.685
  1194        21   (g)                -73   972  1052  1200     0   328   275     -0.789     -0.186     -0.958      1.255      0.050
  1195        21   (g)                -73  1004  1050  1567  1567   201   326      0.361      0.426      0.565      0.798      0.071
  1196        21   (g)                -73   995  1057  1563  1563   275   346      0.443     -0.626     -1.433      1.628      0.101
  1197        21   (g)                -73  1044  1094  1201     0   231   279      0.823     -0.531      0.083      1.011      0.234
  1198        21   (g)                -73  1059  1069  1560  1560   302   255     -0.194     -0.929     -3.411      3.549      0.248
  1199        21   (g)                -73   978  1009  1562  1562   346   202      0.161     -2.327     -1.198      2.639      0.295
  1200        21   (g)                -73   988  1194  1564  1564   245   275     -0.977     -0.414     -1.327      1.729      0.320
  1201        21   (g)                -73   994  1197  1565  1565   231   245      0.975     -0.684      0.291      1.310      0.462
  1202         2   (u)                -71  1144  1144  1204  1206   211     0      1.008      6.061    121.540    121.698      0.816
  1203        -2   (ubar)             -71   906   906  1204  1206     0   211     -0.488      1.556     68.754     68.774      0.330
  1204       213   (rho+)             -83  1202  1203  1619  1620     0     0      0.679      2.657     56.054     56.126      0.697
  1205      -211   pi-                 83  1202  1203     0     0     0     0      0.167      3.393     65.735     65.823      0.140
  1206       111   (pi0)              -84  1202  1203  1790  1791     0     0     -0.327      1.567     68.505     68.524      0.135
  1207         2   (u)                -71  1122  1122  1210  1212   209     0     -0.766      0.091    137.626    137.630      0.594
  1208         2   (u)                -71  1120  1120  1210  1212   364     0      0.110     -1.076    220.503    220.505      0.330
  1209         2   (u)                -71  1118  1118  1210  1212   362     0     -0.092     -0.361    745.505    745.505      0.330
  1210       323   (K*+)              -86  1207  1209  1621  1622     0     0     -0.294     -0.170    206.209    206.212      0.934
  1211       213   (rho+)             -83  1207  1209  1623  1624     0     0     -0.478     -0.436    603.730    603.731      0.710
  1212      3212   (Sigma0)           -84  1207  1209  1792  1793     0     0      0.024     -0.740    293.694    293.698      1.193
  1213         3   (s)                -71   885   885  1219  1226   249     0     -5.992     -2.376     50.628     51.039      0.500
  1214        21   (g)                -71  1141  1141  1219  1226   312   249     -0.758     -1.112     10.261     10.354      0.334
  1215        21   (g)                -71   876   876  1219  1226   223   312     -0.663      0.152      3.430      3.497      0.000
  1216        21   (g)                -71   935   935  1219  1226   278   223      0.161      0.274      8.269      8.275      0.000
  1217        21   (g)                -71   913   913  1219  1226   157   278     -0.486      1.455     12.760     12.851      0.000
  1218        -2   (ubar)             -71   890   890  1219  1226     0   157      0.107      0.698     10.657     10.685      0.330
  1219      -313   (K*bar0)           -83  1213  1218  1625  1626     0     0     -1.818     -1.178     16.455     16.619      0.860
  1220       313   (K*0)              -83  1213  1218  1627  1628     0     0     -2.941     -0.860     24.195     24.405      0.891
  1221      -321   K-                  83  1213  1218     0     0     0     0     -0.780     -0.648     11.150     11.207      0.494
  1222       213   (rho+)             -83  1213  1218  1629  1630     0     0     -1.514     -0.226     10.959     11.097      0.837
  1223       311   (K0)               -84  1213  1218  1631  1631     0     0     -0.262      0.239     15.254     15.266      0.498
  1224      -311   (Kbar0)            -84  1213  1218  1632  1632     0     0     -0.364      0.891     10.469     10.525      0.498
  1225       111   (pi0)              -84  1213  1218  1794  1795     0     0     -0.038      0.709      5.406      5.454      0.135
  1226      -211   pi-                 84  1213  1218     0     0     0     0      0.086      0.164      2.116      2.129      0.140
  1227         2   (u)                -71  1184  1184  1232  1240   290     0     -2.064      0.394     20.992     21.100      0.396
  1228        21   (g)                -71  1186  1186  1232  1240   150   290     -1.063     -0.980      2.376      2.804      0.356
  1229        21   (g)                -71  1002  1002  1232  1240   321   150      0.176      0.419     -0.080      0.461      0.000
  1230        21   (g)                -71  1183  1183  1232  1240   134   321      0.715      0.106      0.906      1.161      0.063
  1231        -2   (ubar)             -71   979   979  1232  1240     0   134      1.488      2.816      1.260      3.441      0.330
  1232       223   (omega)            -83  1227  1231  1796  1798     0     0     -1.102     -0.458      9.444      9.551      0.784
  1233      2214   (Delta+)           -83  1227  1231  1633  1634     0     0     -0.843      0.553      8.407      8.554      1.211
  1234       223   (omega)            -83  1227  1231  1799  1801     0     0     -0.362     -0.093      1.036      1.353      0.786
  1235     -2212   pbar-               83  1227  1231     0     0     0     0      0.071      0.077      1.268      1.581      0.938
  1236       223   (omega)            -84  1227  1231  1802  1804     0     0     -0.279      0.349      2.760      2.904      0.784
  1237       321   K+                  84  1227  1231     0     0     0     0      0.022     -0.136      0.760      0.916      0.494
  1238      -323   (K*-)              -84  1227  1231  1635  1636     0     0      0.621      0.383      0.575      1.296      0.903
  1239       211   pi+                 84  1227  1231     0     0     0     0      0.426      0.140      0.304      0.559      0.140
  1240      -211   pi-                 84  1227  1231     0     0     0     0      0.697      1.939      0.899      2.253      0.140
  1241         1   (d)                -71  1079  1079  1243  1248   128     0     -0.571      0.822    -46.316     46.328      0.330
  1242        -2   (ubar)             -71  1100  1100  1243  1248     0   128      0.087     -0.295      0.986      1.084      0.330
  1243       113   (rho0)             -83  1241  1242  1637  1638     0     0     -0.276      0.423    -24.791     24.812      0.895
  1244      -211   pi-                 83  1241  1242     0     0     0     0      0.002     -0.007     -7.322      7.323      0.140
  1245       321   K+                  83  1241  1242     0     0     0     0     -0.143      0.154     -7.159      7.179      0.494
  1246      -323   (K*-)              -84  1241  1242  1639  1640     0     0     -0.378     -0.085     -5.834      5.936      1.024
  1247      2212   p+                  84  1241  1242     0     0     0     0      0.235     -0.041     -0.607      1.143      0.938
  1248     -2212   pbar-               84  1241  1242     0     0     0     0      0.076      0.083      0.382      1.019      0.938
  1249         4   (c)                -71  1012  1012  1255  1261   122     0     -4.156     -0.236    -24.010     24.414      1.500
  1250        21   (g)                -71  1182  1182  1255  1261   126   122     -0.097      0.094     -2.467      2.483      0.255
  1251        21   (g)                -71   902   902  1255  1261   222   126     -0.534     -0.582     -2.402      2.529      0.000
  1252        21   (g)                -71   912   912  1255  1261   254   222     -0.185     -1.267     -1.200      1.755      0.000
  1253        21   (g)                -71   924   924  1255  1261   104   254     -1.069     -0.260     -1.362      1.750      0.000
  1254        -2   (ubar)             -71   865   865  1255  1261     0   104    -10.208     -6.866    -13.019     17.915      0.330
  1255       411   (D+)               -83  1249  1254  1805  1807     0     0     -2.865     -0.367    -18.563     18.879      1.870
  1256      2112   n0                  83  1249  1254     0     0     0     0     -1.240     -0.445     -6.389      6.590      0.940
  1257       223   (omega)            -83  1249  1254  1808  1810     0     0     -0.547     -0.023     -2.246      2.440      0.778
  1258     -2112   nbar0               83  1249  1254     0     0     0     0     -1.081     -1.304     -3.169      3.715      0.940
  1259      -213   (rho-)             -83  1249  1254  1641  1642     0     0     -0.785     -0.832     -1.799      2.306      0.880
  1260       211   pi+                 83  1249  1254     0     0     0     0     -1.118     -0.240     -1.320      1.752      0.140
  1261      -213   (rho-)             -84  1249  1254  1643  1644     0     0     -8.612     -5.904    -10.974     15.165      0.728
  1262         2   (u)                -71  1193  1193  1267  1279   192     0     -0.221     -0.123   -247.626    247.627      0.685
  1263        21   (g)                -71  1191  1191  1267  1279   169   192      0.351     -0.427    -43.062     43.066      0.185
  1264        21   (g)                -71  1192  1192  1267  1279   244   169     -0.706     -0.962    -56.853     56.867      0.367
  1265        21   (g)                -71  1063  1063  1267  1279   305   244     -0.367     -0.871    -16.236     16.264      0.000
  1266      2203   (uu_1)             -71  1121  1121  1267  1279     0   305     -0.153     -0.369  -3404.870   3404.871      0.771
  1267       211   pi+                 83  1262  1266     0     0     0     0     -0.090     -0.593   -229.156    229.157      0.140
  1268      -211   pi-                 83  1262  1266     0     0     0     0      0.119      0.251    -24.923     24.925      0.140
  1269       211   pi+                 83  1262  1266     0     0     0     0     -0.031     -0.529    -17.635     17.644      0.140
  1270       111   (pi0)              -83  1262  1266  1811  1812     0     0     -0.468     -0.328    -30.298     30.303      0.135
  1271      2114   (Delta0)           -83  1262  1266  1645  1646     0     0     -0.230     -0.423   -119.112    119.120      1.297
  1272     -2114   (Deltabar0)        -83  1262  1266  1647  1648     0     0      0.008     -0.701    -66.152     66.167      1.237
  1273      -213   (rho-)             -83  1262  1266  1649  1650     0     0     -0.299     -0.096   -378.338    378.339      0.806
  1274       211   pi+                 83  1262  1266     0     0     0     0     -0.278      0.120    -51.163     51.164      0.140
  1275      2112   n0                  83  1262  1266     0     0     0     0      0.025     -0.219   -840.549    840.549      0.940
  1276     -2212   pbar-               84  1262  1266     0     0     0     0     -0.055     -0.286   -221.395    221.397      0.938
  1277       211   pi+                 84  1262  1266     0     0     0     0      0.582      0.115   -649.657    649.657      0.140
  1278      -211   pi-                 84  1262  1266     0     0     0     0     -0.242      0.203   -237.482    237.483      0.140
  1279      2224   (Delta++)          -84  1262  1266  1651  1652     0     0     -0.138     -0.266   -902.789    902.789      1.095
  1280         1   (d)                -71  1005  1005  1291  1307   115     0     -0.103      0.004      0.146      0.375      0.330
  1281        21   (g)                -71   971   971  1291  1307   155   115     -0.472     -2.181      5.342      5.790      0.000
  1282        21   (g)                -71  1176  1176  1291  1307   345   155     -0.575     -0.593      2.699      2.829      0.191
  1283        21   (g)                -71  1181  1181  1291  1307   135   345      0.254     -1.040      6.115      6.237      0.598
  1284        21   (g)                -71  1179  1179  1291  1307   261   135      3.155      0.521      9.429      9.964      0.405
  1285        21   (g)                -71   965   965  1291  1307   141   261     -0.018      0.401      0.557      0.687      0.000
  1286        21   (g)                -71  1178  1178  1291  1307   301   141     -0.017     -0.273     -0.319      0.575      0.394
  1287        21   (g)                -71  1177  1177  1291  1307   152   301     -1.479     -1.292      1.142      2.293      0.309
  1288        21   (g)                -71  1172  1172  1291  1307   130   152     -2.232      0.203      3.520      4.173      0.079
  1289        21   (g)                -71  1180  1180  1291  1307   166   130     -1.773      2.247      6.814      7.405      0.458
  1290        -3   (sbar)             -71  1175  1175  1291  1307     0   166      0.059      0.566      2.011      2.189      0.652
  1291      -213   (rho-)             -83  1280  1290  1653  1654     0     0     -0.611     -1.367      3.416      3.818      0.813
  1292       221   (eta)              -83  1280  1290  1813  1814     0     0     -0.090     -0.100      1.594      1.691      0.548
  1293       211   pi+                 83  1280  1290     0     0     0     0      0.494     -0.593      2.931      3.034      0.140
  1294      3212   (Sigma0)           -83  1280  1290  1815  1816     0     0      0.020     -0.984      3.820      4.121      1.193
  1295     -3212   (Sigmabar0)        -84  1280  1290  1817  1818     0     0      1.123      0.242      4.031      4.358      1.193
  1296      -211   pi-                 84  1280  1290     0     0     0     0     -0.257     -0.028      0.320      0.435      0.140
  1297       111   (pi0)              -84  1280  1290  1819  1820     0     0     -0.399     -0.139      0.964      1.061      0.135
  1298       111   (pi0)              -84  1280  1290  1821  1822     0     0      0.486     -0.439      1.936      2.048      0.135
  1299       323   (K*+)              -84  1280  1290  1655  1656     0     0      0.823      0.430      3.146      3.397      0.884
  1300      3122   (Lambda0)          -84  1280  1290  1823  1824     0     0     -0.333     -0.462      1.327      1.825      1.116
  1301     -2112   nbar0               84  1280  1290     0     0     0     0      0.039     -0.507      1.688      1.998      0.940
  1302      -211   pi-                 84  1280  1290     0     0     0     0      0.053      0.323      0.189      0.403      0.140
  1303       213   (rho+)             -84  1280  1290  1657  1658     0     0     -1.547      0.427      2.064      2.733      0.796
  1304      -213   (rho-)             -84  1280  1290  1659  1660     0     0     -0.267     -0.328      0.773      1.134      0.714
  1305      2224   (Delta++)          -84  1280  1290  1661  1662     0     0     -1.415      0.280      2.484      3.178      1.360
  1306      -211   pi-                 84  1280  1290     0     0     0     0      0.026     -0.016      0.539      0.557      0.140
  1307     -3122   (Lambdabar0)       -84  1280  1290  1825  1826     0     0     -1.347      1.825      6.234      6.727      1.116
  1308         2   (u)                -71  1146  1146  1313  1320   282     0      4.408     -1.506     19.015     19.592      0.755
  1309        21   (g)                -71   903   903  1313  1320   307   282      0.753     -0.775      8.581      8.649      0.000
  1310        21   (g)                -71   944   944  1313  1320   299   307      0.033     -0.723      2.698      2.794      0.000
  1311        21   (g)                -71  1145  1145  1313  1320   110   299     -1.607     -1.484     19.048     19.176      0.294
  1312        -3   (sbar)             -71   872   872  1313  1320     0   110    -15.779    -14.475    155.867    157.332      0.500
  1313       213   (rho+)             -83  1308  1312  1663  1664     0     0      2.194     -0.716     11.470     11.731      0.865
  1314       223   (omega)            -83  1308  1312  1827  1829     0     0      1.496     -0.489      8.471      8.651      0.778
  1315      -213   (rho-)             -83  1308  1312  1665  1666     0     0      0.994     -1.535      7.377      7.635      0.728
  1316       221   (eta)              -83  1308  1312  1830  1831     0     0     -0.195     -0.002      4.546      4.583      0.548
  1317       111   (pi0)              -83  1308  1312  1832  1833     0     0     -0.642     -1.542     11.847     11.965      0.135
  1318       113   (rho0)             -84  1308  1312  1667  1668     0     0     -7.952     -6.626     77.117     77.813      0.806
  1319       111   (pi0)              -84  1308  1312  1834  1835     0     0     -1.326     -2.102     18.890     19.053      0.135
  1320       321   K+                  84  1308  1312     0     0     0     0     -6.760     -5.951     65.493     66.111      0.494
  1321         3   (s)                -71  1152  1152  1334  1354   132     0      1.415     -2.312     20.947     21.136      0.784
  1322        21   (g)                -71  1038  1038  1334  1354   313   132      0.079     -0.243     10.810     10.813      0.000
  1323        21   (g)                -71  1030  1030  1334  1354   246   313      2.813     -0.337    123.340    123.372      0.000
  1324        21   (g)                -71  1149  1149  1334  1354   294   246      1.308     -0.538     68.783     68.798      0.133
  1325        21   (g)                -71  1154  1154  1334  1354   293   294      0.943      0.530     83.366     83.374      0.386
  1326        21   (g)                -71  1086  1086  1334  1354   304   293      0.654      2.462    655.391    655.396      0.000
  1327        21   (g)                -71  1153  1153  1334  1354   151   304     -0.732      0.818    121.887    121.893      0.282
  1328        21   (g)                -71  1151  1151  1334  1354   308   151     -1.331      0.696     94.694     94.706      0.186
  1329        21   (g)                -71   991   991  1334  1354   266   308     -0.848     -0.875     33.056     33.078      0.000
  1330        21   (g)                -71   983   983  1334  1354   337   266     -0.695     -0.114     34.001     34.008      0.000
  1331        21   (g)                -71  1150  1150  1334  1354   263   337     -0.703     -0.180      4.860      4.917      0.179
  1332        21   (g)                -71  1155  1155  1334  1354   217   263     -0.616      0.253     21.872     21.886      0.446
  1333        -1   (dbar)             -71   967   967  1334  1354     0   217     -0.680     -0.642     26.457     26.476      0.330
  1334      -321   K-                  83  1321  1333     0     0     0     0      0.361     -0.218     15.659     15.672      0.494
  1335       213   (rho+)             -83  1321  1333  1669  1670     0     0      0.666     -0.482     22.793     22.822      0.789
  1336       111   (pi0)              -83  1321  1333  1836  1837     0     0      0.427     -1.582     11.948     12.061      0.135
  1337      -211   pi-                 83  1321  1333     0     0     0     0      1.356     -0.335     24.297     24.338      0.140
  1338       211   pi+                 83  1321  1333     0     0     0     0      0.214      0.279     31.139     31.141      0.140
  1339      -213   (rho-)             -83  1321  1333  1671  1672     0     0      0.822     -0.200     26.877     26.898      0.629
  1340       221   (eta)              -83  1321  1333  1838  1840     0     0      0.400     -0.354    107.789    107.792      0.548
  1341       223   (omega)            -83  1321  1333  1841  1843     0     0      1.386     -0.006     80.453     80.469      0.785
  1342       113   (rho0)             -83  1321  1333  1673  1674     0     0      0.853      0.370     93.185     93.193      0.889
  1343       321   K+                  83  1321  1333     0     0     0     0      0.333      0.088    143.471    143.473      0.494
  1344      3122   (Lambda0)          -84  1321  1333  1844  1845     0     0     -0.826      1.534    335.349    335.355      1.116
  1345       211   pi+                 84  1321  1333     0     0     0     0      0.281      0.631     60.136     60.140      0.140
  1346     -2224   (Deltabar--)       -84  1321  1333  1675  1676     0     0     -0.064      0.186    110.721    110.729      1.335
  1347       211   pi+                 84  1321  1333     0     0     0     0     -0.280      0.116      6.903      6.911      0.140
  1348      -211   pi-                 84  1321  1333     0     0     0     0     -0.906      0.236     99.987     99.992      0.140
  1349       223   (omega)            -84  1321  1333  1846  1848     0     0     -0.376      0.223     26.594     26.609      0.767
  1350       211   pi+                 84  1321  1333     0     0     0     0     -0.529      0.044     17.619     17.628      0.140
  1351      -211   pi-                 84  1321  1333     0     0     0     0     -0.274     -0.261      5.295      5.310      0.140
  1352       321   K+                  84  1321  1333     0     0     0     0     -0.298     -0.149     16.254     16.265      0.494
  1353      -323   (K*-)              -84  1321  1333  1677  1678     0     0     -1.607     -0.194     35.906     35.952      0.863
  1354       213   (rho+)             -84  1321  1333  1679  1680     0     0     -0.332     -0.406     27.088     27.103      0.760
  1355         1   (d)                -71  1031  1031  1360  1370   114     0      1.836      0.563     -1.201      2.289      0.330
  1356        21   (g)                -71  1189  1189  1360  1370   236   114     -0.327     -0.725    159.015    159.017      0.355
  1357        21   (g)                -71  1190  1190  1360  1370   320   236      1.069      0.953     12.228     12.320      0.454
  1358        21   (g)                -71  1047  1047  1360  1370   300   320      1.964      0.901     12.382     12.569      0.000
  1359        -2   (ubar)             -71  1032  1032  1360  1370     0   300      0.554      0.673      2.145      2.339      0.330
  1360       111   (pi0)              -83  1355  1359  1849  1850     0     0      1.008      0.054     -0.499      1.134      0.135
  1361       311   (K0)               -83  1355  1359  1681  1681     0     0      0.585      0.033      0.116      0.777      0.498
  1362      -323   (K*-)              -83  1355  1359  1682  1683     0     0      0.326      0.579      0.028      1.169      0.961
  1363       223   (omega)            -83  1355  1359  1851  1853     0     0     -0.032     -0.069      8.413      8.449      0.780
  1364      2214   (Delta+)           -83  1355  1359  1684  1685     0     0     -0.475     -0.406     24.976     25.019      1.329
  1365      -211   pi-                 84  1355  1359     0     0     0     0      0.319      0.281     79.213     79.214      0.140
  1366     -3112   (Sigmabar+)        -84  1355  1359  1854  1855     0     0      0.387      0.014     39.905     39.925      1.197
  1367      -311   (Kbar0)            -84  1355  1359  1686  1686     0     0      0.286      0.210      3.084      3.144      0.498
  1368      -211   pi-                 84  1355  1359     0     0     0     0      0.271      0.076      7.167      7.174      0.140
  1369      2224   (Delta++)          -84  1355  1359  1687  1688     0     0      0.316      0.300      6.692      6.812      1.196
  1370     -2224   (Deltabar--)       -84  1355  1359  1689  1690     0     0      2.105      1.294     15.473     15.717      1.223
  1371         4   (c)                -71   871   871  1385  1402   109     0      2.928     -4.089     31.794     32.224      1.500
  1372        21   (g)                -71   898   898  1385  1402   188   109      0.540     -0.467      2.149      2.264      0.000
  1373        21   (g)                -71   951   951  1385  1402   327   188      1.017     -1.068      2.135      2.595      0.000
  1374        21   (g)                -71   916   916  1385  1402   235   327      7.069     -6.617     18.265     20.673      0.000
  1375        21   (g)                -71   899   899  1385  1402   257   235      1.604     -1.126      3.430      3.951      0.000
  1376        21   (g)                -71   926   926  1385  1402   187   257     21.205    -18.850     55.845     62.639      0.000
  1377        21   (g)                -71   893   893  1385  1402   176   187     33.158    -30.266     86.601     97.545      0.000
  1378        21   (g)                -71  1129  1129  1385  1402   348   176     21.899    -19.381     56.031     63.203      0.189
  1379        21   (g)                -71   958   958  1385  1402   353   348      6.474     -5.122     14.156     16.387      0.000
  1380        21   (g)                -71  1131  1131  1385  1402   127   353      5.933     -4.795     15.119     16.943      0.533
  1381        21   (g)                -71  1130  1130  1385  1402   268   127     35.925    -27.864     92.881    103.412      0.490
  1382        21   (g)                -71   959   959  1385  1402   354   268      8.490     -6.892     24.573     26.896      0.000
  1383        21   (g)                -71   930   930  1385  1402   105   354     31.983    -26.167     89.059     98.179      0.000
  1384        -4   (cbar)             -71   887   887  1385  1402     0   105    292.983   -236.995    831.012    912.463      1.500
  1385       411   (D+)               -83  1371  1384  1856  1857     0     0      2.458     -3.465     22.906     23.371      1.870
  1386       313   (K*0)              -83  1371  1384  1691  1692     0     0      1.031     -1.105      8.248      8.434      0.900
  1387      -321   K-                  83  1371  1384     0     0     0     0      0.547     -0.384      2.746      2.869      0.494
  1388       111   (pi0)              -83  1371  1384  1858  1859     0     0      0.204     -0.842      1.417      1.667      0.135
  1389       223   (omega)            -83  1371  1384  1860  1862     0     0      5.744     -4.496     14.673     16.405      0.779
  1390       211   pi+                 83  1371  1384     0     0     0     0      6.811     -6.850     19.670     21.914      0.140
  1391      -213   (rho-)             -83  1371  1384  1693  1694     0     0     22.883    -19.993     57.658     65.180      0.755
  1392       331   (eta')             -83  1371  1384  1863  1865     0     0     35.384    -31.560     91.462    103.025      0.958
  1393       213   (rho+)             -83  1371  1384  1695  1696     0     0     13.430    -11.979     34.021     38.502      1.066
  1394      -213   (rho-)             -83  1371  1384  1697  1698     0     0      7.571     -5.796     18.866     21.153      0.798
  1395       213   (rho+)             -84  1371  1384  1699  1700     0     0     24.297    -19.954     62.261     69.753      0.754
  1396       111   (pi0)              -84  1371  1384  1866  1867     0     0      7.729     -5.456     21.490     23.481      0.135
  1397      -211   pi-                 84  1371  1384     0     0     0     0     16.518    -13.978     45.182     50.097      0.140
  1398       211   pi+                 84  1371  1384     0     0     0     0      3.709     -2.820      9.506     10.588      0.140
  1399      -211   pi-                 84  1371  1384     0     0     0     0     12.437     -9.906     33.823     37.374      0.140
  1400       211   pi+                 84  1371  1384     0     0     0     0     15.705    -12.495     45.151     49.411      0.140
  1401      -211   pi-                 84  1371  1384     0     0     0     0      3.057     -2.417      7.898      8.809      0.140
  1402      -423   (D*bar0)           -84  1371  1384  1868  1869     0     0    291.694   -236.203    826.070    907.344      2.007
  1403         4   (c)                -71   863   863  1426  1460   101     0     78.618    -62.775    218.954    240.966      1.500
  1404        21   (g)                -71   938   938  1426  1460   285   101      6.661     -4.857     17.165     19.042      0.000
  1405        21   (g)                -71   888   888  1426  1460   154   285      5.159     -3.324     15.191     16.384      0.000
  1406        21   (g)                -71  1125  1125  1426  1460   338   154      0.693     -0.535      2.022      2.238      0.393
  1407        21   (g)                -71   869   869  1426  1460   138   338     -0.739     -0.604      4.284      4.389      0.000
  1408        21   (g)                -71   960   960  1426  1460   358   138      0.625     -4.305     21.345     21.784      0.000
  1409        21   (g)                -71   918   918  1426  1460   240   358      1.205     -5.554     32.428     32.923      0.000
  1410        21   (g)                -71   881   881  1426  1460   113   240      1.335     -2.969     17.194     17.499      0.000
  1411        21   (g)                -71   875   875  1426  1460   349   113      1.463     -4.118     12.895     13.616      0.000
  1412        21   (g)                -71   956   956  1426  1460   270   349      0.606     -2.821     10.476     10.867      0.000
  1413        21   (g)                -71  1124  1124  1426  1460   318   270     10.563    -36.287    131.841    137.151      0.218
  1414        21   (g)                -71   948   948  1426  1460   108   318      1.705     -7.619     27.917     28.988      0.000
  1415        21   (g)                -71   922   922  1426  1460   248   108      0.035      0.060      0.081      0.107      0.000
  1416        21   (g)                -71   891   891  1426  1460   182   248      4.163     -9.534     23.221     25.445      0.000
  1417        21   (g)                -71   947   947  1426  1460   314   182      2.911     -4.762      9.202     10.763      0.000
  1418        21   (g)                -71   895   895  1426  1460   310   314      4.541     -7.525     16.785     18.947      0.000
  1419        21   (g)                -71  1126  1126  1426  1460   107   310      1.453     -2.074      4.698      5.353      0.422
  1420        21   (g)                -71  1128  1128  1426  1460   243   107      1.230     -1.581      7.933      8.198      0.506
  1421        21   (g)                -71   873   873  1426  1460   137   243      2.735     -6.531     21.107     22.263      0.000
  1422        21   (g)                -71   880   880  1426  1460   111   137      1.568    -13.090     28.258     31.182      0.000
  1423        21   (g)                -71   933   933  1426  1460   324   111     -0.091     -0.073      0.042      0.124      0.000
  1424        21   (g)                -71  1127  1127  1426  1460   238   324      0.131     -3.714      7.349      8.248      0.457
  1425        -2   (ubar)             -71  1123  1123  1426  1460     0   238      6.548     -1.817     26.713     27.566      0.353
  1426       413   (D*+)              -83  1403  1425  1870  1871     0     0     67.475    -53.672    187.616    206.489      2.010
  1427      -211   pi-                 83  1403  1425     0     0     0     0      2.294     -1.571      5.728      6.368      0.140
  1428       213   (rho+)             -83  1403  1425  1701  1702     0     0     12.460     -9.968     35.245     38.695      0.703
  1429       111   (pi0)              -83  1403  1425  1872  1873     0     0      4.189     -3.035     11.410     12.529      0.135
  1430      -211   pi-                 83  1403  1425     0     0     0     0      2.113     -2.181      7.449      8.046      0.140
  1431       211   pi+                 83  1403  1425     0     0     0     0      0.206      0.528      1.712      1.809      0.140
  1432       113   (rho0)             -83  1403  1425  1703  1704     0     0      1.958     -2.181      7.445      8.042      0.814
  1433      -213   (rho-)             -83  1403  1425  1705  1706     0     0      0.166     -1.517      9.504      9.663      0.851
  1434       113   (rho0)             -83  1403  1425  1707  1708     0     0      1.394     -5.428     28.424     28.994      1.150
  1435       211   pi+                 83  1403  1425     0     0     0     0     -0.242     -0.497      1.698      1.792      0.140
  1436       111   (pi0)              -83  1403  1425  1874  1875     0     0      0.936     -3.291     16.308     16.663      0.135
  1437      -213   (rho-)             -83  1403  1425  1709  1710     0     0      0.562     -2.593     14.313     14.580      0.833
  1438       211   pi+                 83  1403  1425     0     0     0     0      0.909     -2.645     11.747     12.077      0.140
  1439      -213   (rho-)             -83  1403  1425  1711  1712     0     0      5.817    -19.656     71.582     74.464      0.846
  1440       211   pi+                 83  1403  1425     0     0     0     0      0.219     -2.550      9.795     10.125      0.140
  1441       221   (eta)              -83  1403  1425  1876  1877     0     0      1.532     -5.065     16.261     17.110      0.548
  1442       111   (pi0)              -83  1403  1425  1878  1879     0     0      3.137     -9.416     35.283     36.653      0.135
  1443       221   (eta)              -83  1403  1425  1880  1881     0     0      3.509    -11.459     41.714     43.405      0.548
  1444      -211   pi-                 83  1403  1425     0     0     0     0     -0.027     -0.380      0.689      0.799      0.140
  1445       211   pi+                 83  1403  1425     0     0     0     0      0.347     -1.932      4.825      5.211      0.140
  1446       111   (pi0)              -83  1403  1425  1882  1883     0     0      3.181     -7.174     16.808     18.551      0.135
  1447       223   (omega)            -84  1403  1425  1884  1886     0     0      3.944     -5.341     13.071     14.682      0.781
  1448       111   (pi0)              -84  1403  1425  1887  1888     0     0      1.421     -2.965      5.245      6.192      0.135
  1449      -213   (rho-)             -84  1403  1425  1713  1714     0     0      2.354     -3.870      8.153      9.348      0.634
  1450       213   (rho+)             -84  1403  1425  1715  1716     0     0      1.630     -2.381      8.698      9.204      0.852
  1451      3112   (Sigma-)           -84  1403  1425  1889  1890     0     0      1.740     -5.866     15.988     17.160      1.197
  1452     -3112   (Sigmabar+)        -84  1403  1425  1891  1892     0     0      2.253     -4.912     14.297     15.331      1.197
  1453      -211   pi-                 84  1403  1425     0     0     0     0     -0.060     -3.903      8.153      9.041      0.140
  1454       213   (rho+)             -84  1403  1425  1717  1718     0     0      0.276     -1.290      4.352      4.612      0.767
  1455       221   (eta)              -84  1403  1425  1893  1894     0     0      1.140     -6.383     14.247     15.662      0.548
  1456      -213   (rho-)             -84  1403  1425  1719  1720     0     0      0.314     -0.933      2.545      2.844      0.799
  1457       323   (K*+)              -84  1403  1425  1721  1722     0     0      0.238     -0.846      3.402      3.627      0.901
  1458      -311   (Kbar0)            -84  1403  1425  1723  1723     0     0      3.367     -0.652     11.642     12.147      0.498
  1459       223   (omega)            -84  1403  1425  1895  1897     0     0      1.691     -1.344      8.729      9.028      0.793
  1460      -211   pi-                 84  1403  1425     0     0     0     0      0.677     -0.037      3.021      3.099      0.140
  1461         2   (u)                -71  1134  1134  1480  1505   298     0      1.143     -1.978     -3.093      3.877      0.500
  1462        21   (g)                -71  1137  1137  1480  1505   120   298     -0.764     -0.550     -1.557      1.881      0.477
  1463        21   (g)                -71   894   894  1480  1505   220   120     -0.662      0.416     -5.008      5.068      0.000
  1464        21   (g)                -71  1135  1135  1480  1505   140   220      0.941      1.243     -2.771      3.186      0.202
  1465        21   (g)                -71  1140  1140  1480  1505   283   140     13.393     12.142    -51.399     54.488      0.539
  1466        21   (g)                -71   915   915  1480  1505   205   283      2.956      3.073    -13.944     14.581      0.000
  1467        21   (g)                -71   904   904  1480  1505   125   205      2.079      1.362     -7.739      8.129      0.000
  1468        21   (g)                -71  1139  1139  1480  1505   350   125     10.164      4.101    -30.420     32.338      0.528
  1469        21   (g)                -71  1136  1136  1480  1505   291   350      0.466      0.520     -1.168      1.391      0.290
  1470        21   (g)                -71  1013  1013  1480  1505   284   291      2.571      0.533     -3.924      4.721      0.000
  1471        21   (g)                -71  1132  1132  1480  1505   174   284      2.608     -0.752     -3.548      4.468      0.087
  1472        21   (g)                -71   892   892  1480  1505   175   174      2.191     -0.381     -3.995      4.572      0.000
  1473        21   (g)                -71   886   886  1480  1505   267   175      4.231      1.056    -12.320     13.069      0.000
  1474        21   (g)                -71   929   929  1480  1505   295   267      0.510      0.904     -1.682      1.976      0.000
  1475        21   (g)                -71   941   941  1480  1505   147   295     -0.077     -0.225     -0.388      0.456      0.000
  1476        21   (g)                -71  1138  1138  1480  1505   277   147      0.557     -0.013      0.053      0.757      0.510
  1477        21   (g)                -71   934   934  1480  1505   102   277      0.462     -1.751      1.542      2.379      0.000
  1478        21   (g)                -71   900   900  1480  1505   193   102      4.212     -6.510      6.706     10.252      0.000
  1479        -4   (cbar)             -71   870   870  1480  1505     0   193     14.485    -17.579     19.090     29.757      1.500
  1480       211   pi+                 83  1461  1479     0     0     0     0      0.539     -1.972     -3.766      4.288      0.140
  1481      -211   pi-                 83  1461  1479     0     0     0     0     -0.219      0.374     -0.114      0.470      0.140
  1482       213   (rho+)             -83  1461  1479  1724  1725     0     0     -0.078     -0.592     -4.320      4.434      0.802
  1483       223   (omega)            -83  1461  1479  1898  1900     0     0      0.816      0.930     -1.834      2.347      0.783
  1484       311   (K0)               -83  1461  1479  1726  1726     0     0      0.105      0.463     -4.607      4.658      0.498
  1485      -313   (K*bar0)           -83  1461  1479  1727  1728     0     0      3.280      3.156    -12.365     13.206      0.896
  1486      -211   pi-                 83  1461  1479     0     0     0     0      0.499      0.453     -1.801      1.928      0.140
  1487       113   (rho0)             -83  1461  1479  1729  1730     0     0      6.803      6.496    -27.552     29.124      0.787
  1488       211   pi+                 83  1461  1479     0     0     0     0      2.609      2.754    -11.608     12.213      0.140
  1489       223   (omega)            -83  1461  1479  1901  1903     0     0      3.435      2.294    -11.563     12.304      0.778
  1490      -211   pi-                 83  1461  1479     0     0     0     0      4.098      1.907    -12.212     13.022      0.140
  1491       223   (omega)            -83  1461  1479  1904  1905     0     0      1.570      1.249     -5.635      6.034      0.792
  1492       211   pi+                 83  1461  1479     0     0     0     0      4.772      1.243    -13.487     14.361      0.140
  1493      -211   pi-                 84  1461  1479     0     0     0     0      0.314      0.765     -2.142      2.300      0.140
  1494       211   pi+                 84  1461  1479     0     0     0     0      3.785     -0.017     -5.989      7.086      0.140
  1495       311   (K0)               -84  1461  1479  1731  1731     0     0      1.832      1.619     -6.173      6.658      0.498
  1496      -323   (K*-)              -84  1461  1479  1732  1733     0     0      3.798     -0.332     -7.249      8.238      0.883
  1497       323   (K*+)              -84  1461  1479  1734  1735     0     0      1.189     -0.289     -3.153      3.494      0.875
  1498      -323   (K*-)              -84  1461  1479  1736  1737     0     0      3.106      0.893     -6.739      7.523      0.860
  1499       211   pi+                 84  1461  1479     0     0     0     0     -0.395     -0.086     -0.333      0.542      0.140
  1500       221   (eta)              -84  1461  1479  1906  1907     0     0     -0.204     -0.384      0.391      0.802      0.548
  1501      -211   pi-                 84  1461  1479     0     0     0     0      0.709     -0.388     -0.084      0.825      0.140
  1502       321   K+                  84  1461  1479     0     0     0     0      3.585     -4.819      5.319      8.038      0.494
  1503      -311   (Kbar0)            -84  1461  1479  1738  1738     0     0      1.689     -2.138      2.392      3.659      0.498
  1504      -211   pi-                 84  1461  1479     0     0     0     0      1.999     -1.642      1.574      3.032      0.140
  1505      -423   (D*bar0)           -84  1461  1479  1908  1909     0     0     11.827    -16.324     17.487     26.761      2.007
  1506         2   (u)                -71   981   981  1530  1556   206     0      0.075      0.272      0.610      0.749      0.330
  1507        21   (g)                -71   989   989  1530  1556   339   206      0.415      0.827     -0.184      0.943      0.000
  1508        21   (g)                -71  1007  1007  1530  1556   289   339     -0.002      0.425      0.489      0.648      0.000
  1509        21   (g)                -71  1164  1164  1530  1556   250   289      0.036      0.780      0.061      0.811      0.210
  1510        21   (g)                -71  1169  1169  1530  1556   233   250      2.350      2.631     -1.287      3.775      0.389
  1511        21   (g)                -71  1160  1160  1530  1556   259   233      0.760      0.224     -0.572      0.982      0.100
  1512        21   (g)                -71  1166  1166  1530  1556   311   259      0.434      0.878     -2.211      2.434      0.275
  1513        21   (g)                -71  1163  1163  1530  1556   149   311      1.374      2.126      0.521      2.589      0.156
  1514        21   (g)                -71   969   969  1530  1556   230   149      1.030     -0.058      0.489      1.142      0.000
  1515        21   (g)                -71  1161  1161  1530  1556   117   230     -0.312      0.612     -0.095      0.702      0.111
  1516        21   (g)                -71   982   982  1530  1556   210   117     -0.094     -0.148      0.089      0.197      0.000
  1517        21   (g)                -71  1003  1003  1530  1556   322   210     -0.373      0.253     -0.714      0.844      0.000
  1518        21   (g)                -71  1167  1167  1530  1556   303   322     -1.815      0.646     -0.013      1.956      0.338
  1519        21   (g)                -71   999   999  1530  1556   124   303     -1.258     -0.142     -0.410      1.331      0.000
  1520        21   (g)                -71  1165  1165  1530  1556   351   124     -0.652     -0.739     -6.915      6.989      0.250
  1521        21   (g)                -71  1159  1159  1530  1556   359   351     -0.831      0.082     -7.638      7.684      0.080
  1522        21   (g)                -71  1081  1081  1530  1556   145   359     -0.170      0.600     -3.617      3.670      0.000
  1523        21   (g)                -71  1158  1158  1530  1556   333   145      0.017      0.612    -10.238     10.256      0.063
  1524        21   (g)                -71  1097  1097  1530  1556   357   333     -0.642      0.167    -12.639     12.656      0.000
  1525        21   (g)                -71  1085  1085  1530  1556   229   357      0.210      0.253    -12.783     12.787      0.000
  1526        21   (g)                -71  1170  1170  1530  1556   343   229     -1.608      1.509   -169.732    169.747      0.469
  1527        21   (g)                -71  1048  1048  1530  1556   309   343     -0.298      0.398   -281.050    281.050      0.000
  1528        21   (g)                -71  1168  1168  1530  1556   335   309     -2.568      0.554   -900.241    900.245      0.385
  1529        -2   (ubar)             -71  1066  1066  1530  1556     0   335      0.131     -0.187   -257.584    257.584      0.330
  1530       211   pi+                 83  1506  1529     0     0     0     0      0.543      0.477      0.020      0.736      0.140
  1531       111   (pi0)              -83  1506  1529  1910  1911     0     0     -0.275      0.932     -0.070      0.984      0.135
  1532      -211   pi-                 83  1506  1529     0     0     0     0      0.164      0.099      0.464      0.521      0.140
  1533       211   pi+                 83  1506  1529     0     0     0     0      0.283      0.566      0.109      0.657      0.140
  1534       223   (omega)            -83  1506  1529  1912  1914     0     0      1.126      1.170     -0.339      1.835      0.784
  1535      -211   pi-                 83  1506  1529     0     0     0     0      0.185      0.102     -0.292      0.386      0.140
  1536       213   (rho+)             -83  1506  1529  1739  1740     0     0      0.411      1.085     -1.012      1.918      1.143
  1537       221   (eta)              -83  1506  1529  1915  1916     0     0      1.437      1.747     -0.263      2.342      0.548
  1538       223   (omega)            -83  1506  1529  1917  1919     0     0      0.508      0.553     -0.298      1.125      0.782
  1539      -211   pi-                 83  1506  1529     0     0     0     0      0.127     -0.169     -0.339      0.423      0.140
  1540       223   (omega)            -83  1506  1529  1920  1922     0     0      0.802      1.190     -0.443      1.689      0.772
  1541      3212   (Sigma0)           -84  1506  1529  1923  1924     0     0      0.122      0.238     -0.184      1.236      1.193
  1542       331   (eta')             -84  1506  1529  1925  1927     0     0     -0.053      0.394     -0.036      1.037      0.958
  1543     -3122   (Lambdabar0)       -84  1506  1529  1928  1929     0     0     -0.577      0.634      0.416      1.467      1.116
  1544      3222   (Sigma+)           -84  1506  1529  1930  1931     0     0     -1.393     -0.088     -1.400      2.307      1.189
  1545     -3212   (Sigmabar0)        -84  1506  1529  1932  1933     0     0     -0.263      0.255     -1.588      2.019      1.193
  1546      2112   n0                  84  1506  1529     0     0     0     0     -0.729      0.031     -2.042      2.363      0.940
  1547       113   (rho0)             -84  1506  1529  1741  1742     0     0     -0.394     -0.067     -4.911      4.996      0.828
  1548     -2212   pbar-               84  1506  1529     0     0     0     0     -0.242      0.422     -3.156      3.328      0.938
  1549       223   (omega)            -84  1506  1529  1934  1935     0     0     -1.102      0.035    -32.169     32.197      0.783
  1550       113   (rho0)             -84  1506  1529  1743  1744     0     0      0.141      0.178     -8.436      8.474      0.764
  1551       211   pi+                 84  1506  1529     0     0     0     0     -0.738      0.801    -57.675     57.686      0.140
  1552      2114   (Delta0)           -84  1506  1529  1745  1746     0     0      0.116      0.183    -79.645     79.655      1.211
  1553     -2214   (Deltabar-)        -84  1506  1529  1747  1748     0     0     -0.816      0.770   -119.650    119.662      1.263
  1554       223   (omega)            -84  1506  1529  1936  1938     0     0     -1.441      0.931   -377.007    377.012      0.785
  1555      2212   p+                  84  1506  1529     0     0     0     0     -0.474     -0.077   -364.456    364.457      0.938
  1556     -2212   pbar-               84  1506  1529     0     0     0     0     -1.259      0.180   -611.258    611.260      0.938
  1557         2   (u)                -71  1084  1084  1569  1591   116     0      0.175     -0.423    377.518    377.519      0.330
  1558        21   (g)                -71  1108  1108  1569  1591   170   116      0.245     -0.422     -7.187      7.203      0.000
  1559        21   (g)                -71  1101  1101  1569  1591   255   170      1.983     -0.548    -16.677     16.804      0.000
  1560        21   (g)                -71  1198  1198  1569  1591   302   255     -0.194     -0.929     -3.411      3.549      0.248
  1561        21   (g)                -71   964   964  1569  1591   202   302     -1.026     -2.790     -3.550      4.631      0.000
  1562        21   (g)                -71  1199  1199  1569  1591   346   202      0.161     -2.327     -1.198      2.639      0.295
  1563        21   (g)                -71  1196  1196  1569  1591   275   346      0.443     -0.626     -1.433      1.628      0.101
  1564        21   (g)                -71  1200  1200  1569  1591   245   275     -0.977     -0.414     -1.327      1.729      0.320
  1565        21   (g)                -71  1201  1201  1569  1591   231   245      0.975     -0.684      0.291      1.310      0.462
  1566        21   (g)                -71   977   977  1569  1591   326   231     -0.286     -0.893     -1.068      1.422      0.000
  1567        21   (g)                -71  1195  1195  1569  1591   201   326      0.361      0.426      0.565      0.798      0.071
  1568        -1   (dbar)             -71   973   973  1569  1591     0   201     -0.041     -0.017      1.217      1.262      0.330
  1569       223   (omega)            -83  1557  1568  1939  1941     0     0     -0.125     -0.083    137.135    137.137      0.784
  1570       221   (eta)              -83  1557  1568  1942  1944     0     0      0.034      0.137    208.758    208.759      0.548
  1571       213   (rho+)             -83  1557  1568  1749  1750     0     0      0.207     -0.930     22.283     22.329      1.087
  1572      -211   pi-                 83  1557  1568     0     0     0     0      0.104      0.117      0.835      0.861      0.140
  1573       213   (rho+)             -83  1557  1568  1751  1752     0     0      0.183      0.169      5.439      5.494      0.732
  1574      2112   n0                  83  1557  1568     0     0     0     0     -0.476     -0.051      2.508      2.720      0.940
  1575     -2112   nbar0               83  1557  1568     0     0     0     0      0.483      0.206     -1.184      1.600      0.940
  1576       111   (pi0)              -83  1557  1568  1945  1946     0     0     -0.170     -0.004     -0.021      0.218      0.135
  1577      -211   pi-                 83  1557  1568     0     0     0     0      0.195     -0.064     -0.256      0.357      0.140
  1578       211   pi+                 83  1557  1568     0     0     0     0      0.022      0.139     -1.250      1.266      0.140
  1579      -213   (rho-)             -83  1557  1568  1753  1754     0     0      0.726     -0.484     -8.662      8.728      0.625
  1580       323   (K*+)              -83  1557  1568  1755  1756     0     0      0.031     -0.977     -6.512      6.643      0.871
  1581      -323   (K*-)              -83  1557  1568  1757  1758     0     0      0.735     -0.097     -5.753      5.857      0.815
  1582       111   (pi0)              -83  1557  1568  1947  1948     0     0     -0.159     -1.092     -1.493      1.862      0.135
  1583       111   (pi0)              -83  1557  1568  1949  1950     0     0     -0.300     -0.552     -0.318      0.717      0.135
  1584       211   pi+                 83  1557  1568     0     0     0     0      0.233     -0.567     -3.708      3.761      0.140
  1585       223   (omega)            -84  1557  1568  1951  1953     0     0     -0.140     -1.357     -1.268      2.024      0.794
  1586       113   (rho0)             -84  1557  1568  1759  1760     0     0     -0.160     -2.459     -1.929      3.214      0.732
  1587       313   (K*0)              -84  1557  1568  1761  1762     0     0      0.055      0.044     -0.268      0.946      0.905
  1588      -311   (Kbar0)            -84  1557  1568  1763  1763     0     0     -0.246     -1.561     -2.010      2.605      0.498
  1589       223   (omega)            -84  1557  1568  1954  1956     0     0      0.556     -0.139      1.614      1.889      0.795
  1590      -213   (rho-)             -84  1557  1568  1764  1765     0     0      0.055     -0.276     -0.085      1.209      1.172
  1591       211   pi+                 84  1557  1568     0     0     0     0     -0.023      0.235     -0.114      0.297      0.140
  1592         1   (d)                -71  1119  1119  1600  1618   148     0     -0.048      0.212    537.730    537.730      0.330
  1593        21   (g)                -71   884   884  1600  1618   264   148     -0.197     -1.179    -20.281     20.316      0.000
  1594        21   (g)                -71   927   927  1600  1618   331   264     -0.427     -0.576    -19.637     19.650      0.000
  1595        21   (g)                -71   952   952  1600  1618   156   331      0.293      0.041    -11.793     11.797      0.000
  1596        21   (g)                -71   919   919  1600  1618   241   156      0.305     -0.287     -2.534      2.569      0.000
  1597        21   (g)                -71  1016  1016  1600  1618   260   241      2.193     -0.156    -16.443     16.589      0.000
  1598        21   (g)                -71   889   889  1600  1618   203   260      0.805      0.814     -6.372      6.474      0.000
  1599        -4   (cbar)             -71  1142  1142  1600  1618     0   203     -4.315     -1.477     -9.372     10.576      1.796
  1600      -213   (rho-)             -83  1592  1599  1766  1767     0     0     -0.163      0.434    481.231    481.232      0.685
  1601       213   (rho+)             -83  1592  1599  1768  1769     0     0     -0.021     -0.275     47.402     47.414      1.036
  1602      -211   pi-                 83  1592  1599     0     0     0     0      0.247      0.078      3.187      3.200      0.140
  1603       223   (omega)            -83  1592  1599  1957  1959     0     0     -0.274      0.474      3.889      4.005      0.785
  1604       213   (rho+)             -83  1592  1599  1770  1771     0     0     -0.164     -0.470      0.659      1.559      1.321
  1605      -211   pi-                 83  1592  1599     0     0     0     0      0.278      0.146      0.468      0.580      0.140
  1606       211   pi+                 83  1592  1599     0     0     0     0      0.289     -0.003     -0.148      0.354      0.140
  1607      -211   pi-                 83  1592  1599     0     0     0     0     -0.351     -0.299     -0.154      0.506      0.140
  1608       113   (rho0)             -83  1592  1599  1772  1773     0     0      0.163     -0.236     -7.983      8.042      0.926
  1609       111   (pi0)              -83  1592  1599  1960  1961     0     0      0.016     -0.544     -6.353      6.378      0.135
  1610       111   (pi0)              -83  1592  1599  1962  1963     0     0     -0.199     -0.239     -6.551      6.560      0.135
  1611       113   (rho0)             -83  1592  1599  1774  1775     0     0      0.242     -0.260    -17.978     18.001      0.830
  1612       211   pi+                 83  1592  1599     0     0     0     0      0.909     -0.107     -3.065      3.202      0.140
  1613       223   (omega)            -84  1592  1599  1964  1966     0     0      0.109      0.311    -12.957     12.985      0.782
  1614      -211   pi-                 84  1592  1599     0     0     0     0      0.175     -0.359     -4.766      4.785      0.140
  1615       213   (rho+)             -84  1592  1599  1776  1777     0     0      0.690     -0.565    -12.877     12.944      0.969
  1616       221   (eta)              -84  1592  1599  1967  1969     0     0      0.522      0.333     -2.249      2.396      0.548
  1617       113   (rho0)             -84  1592  1599  1778  1779     0     0     -0.812     -0.673     -3.122      3.359      0.652
  1618      -413   (D*-)              -84  1592  1599  1970  1971     0     0     -3.045     -0.355     -7.334      8.199      2.010
  1619       211   pi+                 91  1204     0     0     0     0     0     -0.104      0.568     11.392     11.408      0.140
  1620       111   (pi0)              -91  1204     0  1972  1973     0     0      0.784      2.089     44.662     44.718      0.135
  1621       321   K+                  91  1210     0     0     0     0     0     -0.280      0.096    175.587    175.588      0.494
  1622       111   (pi0)              -91  1210     0  1974  1975     0     0     -0.015     -0.266     30.623     30.624      0.135
  1623       211   pi+                 91  1211     0     0     0     0     0      0.049     -0.369    202.681    202.682      0.140
  1624       111   (pi0)              -91  1211     0  1976  1977     0     0     -0.527     -0.067    401.049    401.049      0.135
  1625      -321   K-                  91  1219     0     0     0     0     0     -1.653     -0.837     12.981     13.122      0.494
  1626       211   pi+                 91  1219     0     0     0     0     0     -0.165     -0.342      3.474      3.497      0.140
  1627       311   (K0)               -91  1220     0  1780  1780     0     0     -1.259     -0.491      9.538      9.646      0.498
  1628       111   (pi0)              -91  1220     0  1978  1979     0     0     -1.682     -0.369     14.657     14.758      0.135
  1629       211   pi+                 91  1222     0     0     0     0     0     -1.462     -0.371      8.916      9.044      0.140
  1630       111   (pi0)              -91  1222     0  1980  1981     0     0     -0.052      0.146      2.043      2.053      0.135
  1631       130   K_L0                91  1223  1223     0     0     0     0     -0.262      0.239     15.254     15.266      0.498
  1632       310   (K_S0)             -91  1224  1224  1982  1983     0     0     -0.364      0.891     10.469     10.525      0.498
  1633      2112   n0                  91  1233     0     0     0     0     0     -0.483      0.445      6.869      6.964      0.940
  1634       211   pi+                 91  1233     0     0     0     0     0     -0.360      0.108      1.539      1.590      0.140
  1635      -311   (Kbar0)            -91  1238     0  1781  1781     0     0      0.693      0.476      0.509      1.102      0.498
  1636      -211   pi-                 91  1238     0     0     0     0     0     -0.072     -0.093      0.067      0.194      0.140
  1637       211   pi+                 91  1243     0     0     0     0     0      0.218     -0.092     -4.589      4.597      0.140
  1638      -211   pi-                 91  1243     0     0     0     0     0     -0.494      0.516    -20.202     20.215      0.140
  1639      -321   K-                  91  1246     0     0     0     0     0     -0.372      0.273     -2.938      3.014      0.494
  1640       111   (pi0)              -91  1246     0  1984  1985     0     0     -0.006     -0.359     -2.896      2.921      0.135
  1641      -211   pi-                 91  1259     0     0     0     0     0     -0.889     -0.463     -1.464      1.780      0.140
  1642       111   (pi0)              -91  1259     0  1986  1987     0     0      0.104     -0.369     -0.335      0.527      0.135
  1643      -211   pi-                 91  1261     0     0     0     0     0     -8.012     -5.539    -10.384     14.238      0.140
  1644       111   (pi0)              -91  1261     0  1988  1989     0     0     -0.600     -0.366     -0.589      0.927      0.135
  1645      2112   n0                  91  1271     0     0     0     0     0     -0.368     -0.222    -74.525     74.532      0.940
  1646       111   (pi0)              -91  1271     0  1990  1991     0     0      0.138     -0.201    -44.587     44.588      0.135
  1647     -2212   pbar-               91  1272     0     0     0     0     0     -0.030     -0.810    -58.529     58.542      0.938
  1648       211   pi+                 91  1272     0     0     0     0     0      0.038      0.109     -7.623      7.625      0.140
  1649      -211   pi-                 91  1273     0     0     0     0     0      0.228     -0.102    -84.250     84.250      0.140
  1650       111   (pi0)              -91  1273     0  1992  1993     0     0     -0.527      0.006   -294.089    294.089      0.135
  1651      2212   p+                  91  1279     0     0     0     0     0     -0.143     -0.175   -742.590    742.591      0.938
  1652       211   pi+                 91  1279     0     0     0     0     0      0.005     -0.091   -160.199    160.199      0.140
  1653      -211   pi-                 91  1291     0     0     0     0     0     -0.740     -1.262      2.753      3.121      0.140
  1654       111   (pi0)              -91  1291     0  1994  1995     0     0      0.128     -0.104      0.663      0.697      0.135
  1655       311   (K0)               -91  1299     0  1782  1782     0     0      0.631      0.015      1.956      2.115      0.498
  1656       211   pi+                 91  1299     0     0     0     0     0      0.192      0.416      1.189      1.282      0.140
  1657       211   pi+                 91  1303     0     0     0     0     0     -0.522      0.228      0.254      0.639      0.140
  1658       111   (pi0)              -91  1303     0  1996  1997     0     0     -1.025      0.199      1.810      2.094      0.135
  1659      -211   pi-                 91  1304     0     0     0     0     0      0.057      0.076     -0.028      0.171      0.140
  1660       111   (pi0)              -91  1304     0  1998  1999     0     0     -0.324     -0.403      0.801      0.963      0.135
  1661      2212   p+                  91  1305     0     0     0     0     0     -1.303      0.515      2.090      2.686      0.938
  1662       211   pi+                 91  1305     0     0     0     0     0     -0.111     -0.235      0.394      0.492      0.140
  1663       211   pi+                 91  1313     0     0     0     0     0      0.617     -0.598      3.647      3.750      0.140
  1664       111   (pi0)              -91  1313     0  2000  2001     0     0      1.576     -0.118      7.822      7.982      0.135
  1665      -211   pi-                 91  1315     0     0     0     0     0      0.384     -0.256      1.143      1.240      0.140
  1666       111   (pi0)              -91  1315     0  2002  2003     0     0      0.609     -1.279      6.234      6.394      0.135
  1667       211   pi+                 91  1318     0     0     0     0     0     -5.489     -4.202     52.943     53.393      0.140
  1668      -211   pi-                 91  1318     0     0     0     0     0     -2.463     -2.424     24.174     24.420      0.140
  1669       211   pi+                 91  1335     0     0     0     0     0      0.654     -0.068     16.308     16.322      0.140
  1670       111   (pi0)              -91  1335     0  2004  2005     0     0      0.012     -0.414      6.485      6.500      0.135
  1671      -211   pi-                 91  1339     0     0     0     0     0      0.691     -0.131     13.405     13.424      0.140
  1672       111   (pi0)              -91  1339     0  2006  2007     0     0      0.130     -0.069     13.472     13.474      0.135
  1673       211   pi+                 91  1342     0     0     0     0     0      0.947      0.361     62.052     62.060      0.140
  1674      -211   pi-                 91  1342     0     0     0     0     0     -0.094      0.009     31.133     31.133      0.140
  1675     -2212   pbar-               91  1346     0     0     0     0     0     -0.062     -0.126     93.559     93.564      0.938
  1676      -211   pi-                 91  1346     0     0     0     0     0     -0.002      0.313     17.162     17.166      0.140
  1677      -311   (Kbar0)            -91  1353     0  1783  1783     0     0     -0.777     -0.220     22.858     22.878      0.498
  1678      -211   pi-                 91  1353     0     0     0     0     0     -0.830      0.026     13.047     13.074      0.140
  1679       211   pi+                 91  1354     0     0     0     0     0      0.206     -0.061      5.715      5.720      0.140
  1680       111   (pi0)              -91  1354     0  2008  2009     0     0     -0.538     -0.345     21.373     21.383      0.135
  1681       310   (K_S0)             -91  1361  1361  2010  2011     0     0      0.585      0.033      0.116      0.777      0.498
  1682      -311   (Kbar0)            -91  1362     0  1784  1784     0     0     -0.073      0.148     -0.139      0.542      0.498
  1683      -211   pi-                 91  1362     0     0     0     0     0      0.400      0.430      0.167      0.626      0.140
  1684      2212   p+                  91  1364     0     0     0     0     0     -0.643     -0.191     20.902     20.934      0.938
  1685       111   (pi0)              -91  1364     0  2012  2013     0     0      0.168     -0.215      4.074      4.085      0.135
  1686       310   (K_S0)             -91  1367  1367  2014  2015     0     0      0.286      0.210      3.084      3.144      0.498
  1687      2212   p+                  91  1369     0     0     0     0     0      0.403      0.360      6.070      6.166      0.938
  1688       211   pi+                 91  1369     0     0     0     0     0     -0.087     -0.060      0.622      0.646      0.140
  1689     -2212   pbar-               91  1370     0     0     0     0     0      1.702      1.053     13.709     13.886      0.938
  1690      -211   pi-                 91  1370     0     0     0     0     0      0.402      0.240      1.764      1.831      0.140
  1691       311   (K0)               -91  1386     0  1785  1785     0     0      0.659     -0.704      3.865      4.015      0.498
  1692       111   (pi0)              -91  1386     0  2016  2017     0     0      0.372     -0.401      4.383      4.419      0.135
  1693      -211   pi-                 91  1391     0     0     0     0     0      4.010     -3.844     10.565     11.937      0.140
  1694       111   (pi0)              -91  1391     0  2018  2019     0     0     18.874    -16.149     47.093     53.243      0.135
  1695       211   pi+                 91  1393     0     0     0     0     0      4.033     -2.995      9.298     10.569      0.140
  1696       111   (pi0)              -91  1393     0  2020  2021     0     0      9.397     -8.984     24.722     27.932      0.135
  1697      -211   pi-                 91  1394     0     0     0     0     0      0.445     -0.400      1.522      1.641      0.140
  1698       111   (pi0)              -91  1394     0  2022  2023     0     0      7.126     -5.396     17.344     19.512      0.135
  1699       211   pi+                 91  1395     0     0     0     0     0      9.172     -7.252     22.582     25.430      0.140
  1700       111   (pi0)              -91  1395     0  2024  2025     0     0     15.125    -12.702     39.679     44.323      0.135
  1701       211   pi+                 91  1428     0     0     0     0     0      1.544     -1.485      4.707      5.174      0.140
  1702       111   (pi0)              -91  1428     0  2026  2027     0     0     10.916     -8.483     30.537     33.521      0.135
  1703       211   pi+                 91  1432     0     0     0     0     0      0.801     -0.399      1.981      2.178      0.140
  1704      -211   pi-                 91  1432     0     0     0     0     0      1.157     -1.783      5.464      5.865      0.140
  1705      -211   pi-                 91  1433     0     0     0     0     0     -0.178     -0.054      1.037      1.063      0.140
  1706       111   (pi0)              -91  1433     0  2028  2029     0     0      0.345     -1.463      8.466      8.600      0.135
  1707       211   pi+                 91  1434     0     0     0     0     0      0.704     -2.658     11.134     11.470      0.140
  1708      -211   pi-                 91  1434     0     0     0     0     0      0.690     -2.770     17.290     17.524      0.140
  1709      -211   pi-                 91  1437     0     0     0     0     0     -0.037     -1.564      8.784      8.923      0.140
  1710       111   (pi0)              -91  1437     0  2030  2031     0     0      0.599     -1.029      5.529      5.658      0.135
  1711      -211   pi-                 91  1439     0     0     0     0     0      3.409    -12.820     45.944     47.821      0.140
  1712       111   (pi0)              -91  1439     0  2032  2033     0     0      2.408     -6.836     25.639     26.644      0.135
  1713      -211   pi-                 91  1449     0     0     0     0     0      0.327     -0.353      1.117      1.224      0.140
  1714       111   (pi0)              -91  1449     0  2034  2035     0     0      2.027     -3.517      7.036      8.124      0.135
  1715       211   pi+                 91  1450     0     0     0     0     0      0.433     -0.289      2.377      2.437      0.140
  1716       111   (pi0)              -91  1450     0  2036  2037     0     0      1.197     -2.092      6.321      6.766      0.135
  1717       211   pi+                 91  1454     0     0     0     0     0     -0.062     -0.011      0.199      0.251      0.140
  1718       111   (pi0)              -91  1454     0  2038  2039     0     0      0.338     -1.279      4.153      4.361      0.135
  1719      -211   pi-                 91  1456     0     0     0     0     0     -0.040     -0.191      0.099      0.259      0.140
  1720       111   (pi0)              -91  1456     0  2040  2041     0     0      0.354     -0.743      2.446      2.584      0.135
  1721       311   (K0)               -91  1457     0  1786  1786     0     0      0.361     -0.751      3.168      3.314      0.498
  1722       211   pi+                 91  1457     0     0     0     0     0     -0.123     -0.095      0.234      0.314      0.140
  1723       310   (K_S0)             -91  1458  1458  2042  2043     0     0      3.367     -0.652     11.642     12.147      0.498
  1724       211   pi+                 91  1482     0     0     0     0     0      0.094      0.150     -0.960      0.986      0.140
  1725       111   (pi0)              -91  1482     0  2044  2045     0     0     -0.172     -0.742     -3.361      3.449      0.135
  1726       130   K_L0                91  1484  1484     0     0     0     0      0.105      0.463     -4.607      4.658      0.498
  1727      -321   K-                  91  1485     0     0     0     0     0      3.127      3.020    -11.411     12.221      0.494
  1728       211   pi+                 91  1485     0     0     0     0     0      0.153      0.136     -0.954      0.986      0.140
  1729       211   pi+                 91  1487     0     0     0     0     0      1.280      1.035     -5.569      5.809      0.140
  1730      -211   pi-                 91  1487     0     0     0     0     0      5.524      5.461    -21.983     23.315      0.140
  1731       310   (K_S0)             -91  1495  1495  2046  2047     0     0      1.832      1.619     -6.173      6.658      0.498
  1732      -311   (Kbar0)            -91  1496     0  1787  1787     0     0      1.779      0.068     -3.297      3.780      0.498
  1733      -211   pi-                 91  1496     0     0     0     0     0      2.019     -0.400     -3.952      4.459      0.140
  1734       321   K+                  91  1497     0     0     0     0     0      1.127     -0.415     -2.573      2.882      0.494
  1735       111   (pi0)              -91  1497     0  2048  2049     0     0      0.063      0.125     -0.580      0.612      0.135
  1736      -321   K-                  91  1498     0     0     0     0     0      2.962      0.924     -6.258      7.002      0.494
  1737       111   (pi0)              -91  1498     0  2050  2051     0     0      0.144     -0.031     -0.481      0.521      0.135
  1738       130   K_L0                91  1503  1503     0     0     0     0      1.689     -2.138      2.392      3.659      0.498
  1739       211   pi+                 91  1536     0     0     0     0     0      0.120      1.178     -0.471      1.282      0.140
  1740       111   (pi0)              -91  1536     0  2052  2054     0     0      0.291     -0.093     -0.541      0.636      0.135
  1741       211   pi+                 91  1547     0     0     0     0     0     -0.480      0.205     -3.871      3.909      0.140
  1742      -211   pi-                 91  1547     0     0     0     0     0      0.087     -0.273     -1.040      1.087      0.140
  1743       211   pi+                 91  1550     0     0     0     0     0     -0.028      0.022     -0.297      0.330      0.140
  1744      -211   pi-                 91  1550     0     0     0     0     0      0.169      0.156     -8.139      8.144      0.140
  1745      2112   n0                  91  1552     0     0     0     0     0      0.057      0.005    -71.608     71.614      0.940
  1746       111   (pi0)              -91  1552     0  2055  2056     0     0      0.059      0.178     -8.038      8.041      0.135
  1747     -2112   nbar0               91  1553     0     0     0     0     0     -0.327      0.502    -78.273     78.281      0.940
  1748      -211   pi-                 91  1553     0     0     0     0     0     -0.489      0.268    -41.377     41.381      0.140
  1749       211   pi+                 91  1571     0     0     0     0     0      0.300      0.141      6.001      6.012      0.140
  1750       111   (pi0)              -91  1571     0  2057  2058     0     0     -0.094     -1.072     16.282     16.318      0.135
  1751       211   pi+                 91  1573     0     0     0     0     0      0.021      0.381      4.176      4.196      0.140
  1752       111   (pi0)              -91  1573     0  2059  2060     0     0      0.161     -0.212      1.263      1.298      0.135
  1753      -211   pi-                 91  1579     0     0     0     0     0      0.690     -0.572     -7.197      7.254      0.140
  1754       111   (pi0)              -91  1579     0  2061  2062     0     0      0.036      0.088     -1.465      1.474      0.135
  1755       311   (K0)               -91  1580     0  1788  1788     0     0     -0.200     -0.531     -3.091      3.182      0.498
  1756       211   pi+                 91  1580     0     0     0     0     0      0.231     -0.446     -3.421      3.461      0.140
  1757      -311   (Kbar0)            -91  1581     0  1789  1789     0     0      0.469      0.161     -3.487      3.557      0.498
  1758      -211   pi-                 91  1581     0     0     0     0     0      0.265     -0.259     -2.266      2.300      0.140
  1759       211   pi+                 91  1586     0     0     0     0     0     -0.033     -0.625     -0.892      1.099      0.140
  1760      -211   pi-                 91  1586     0     0     0     0     0     -0.127     -1.834     -1.037      2.115      0.140
  1761       321   K+                  91  1587     0     0     0     0     0      0.262      0.062      0.023      0.563      0.494
  1762      -211   pi-                 91  1587     0     0     0     0     0     -0.206     -0.018     -0.291      0.383      0.140
  1763       130   K_L0                91  1588  1588     0     0     0     0     -0.246     -1.561     -2.010      2.605      0.498
  1764      -211   pi-                 91  1590     0     0     0     0     0     -0.233     -0.257      0.451      0.586      0.140
  1765       111   (pi0)              -91  1590     0  2063  2064     0     0      0.288     -0.019     -0.535      0.623      0.135
  1766      -211   pi-                 91  1600     0     0     0     0     0     -0.217      0.536    428.078    428.078      0.140
  1767       111   (pi0)              -91  1600     0  2065  2066     0     0      0.054     -0.102     53.153     53.154      0.135
  1768       211   pi+                 91  1601     0     0     0     0     0     -0.359     -0.384     38.706     38.710      0.140
  1769       111   (pi0)              -91  1601     0  2067  2068     0     0      0.338      0.110      8.696      8.704      0.135
  1770       211   pi+                 91  1604     0     0     0     0     0     -0.616     -0.337     -0.025      0.717      0.140
  1771       111   (pi0)              -91  1604     0  2069  2070     0     0      0.452     -0.134      0.684      0.842      0.135
  1772       211   pi+                 91  1608     0     0     0     0     0      0.222     -0.151     -7.725      7.731      0.140
  1773      -211   pi-                 91  1608     0     0     0     0     0     -0.059     -0.084     -0.258      0.311      0.140
  1774       211   pi+                 91  1611     0     0     0     0     0      0.276     -0.387    -16.788     16.795      0.140
  1775      -211   pi-                 91  1611     0     0     0     0     0     -0.034      0.127     -1.190      1.205      0.140
  1776       211   pi+                 91  1615     0     0     0     0     0      0.392     -0.589    -11.705     11.727      0.140
  1777       111   (pi0)              -91  1615     0  2071  2072     0     0      0.298      0.024     -1.172      1.217      0.135
  1778       211   pi+                 91  1617     0     0     0     0     0     -0.424     -0.162     -2.032      2.087      0.140
  1779      -211   pi-                 91  1617     0     0     0     0     0     -0.388     -0.511     -1.090      1.272      0.140
  1780       130   K_L0                91  1627  1627     0     0     0     0     -1.259     -0.491      9.538      9.646      0.498
  1781       310   (K_S0)             -91  1635  1635  2073  2074     0     0      0.693      0.476      0.509      1.102      0.498
  1782       130   K_L0                91  1655  1655     0     0     0     0      0.631      0.015      1.956      2.115      0.498
  1783       310   (K_S0)             -91  1677  1677  2075  2076     0     0     -0.777     -0.220     22.858     22.878      0.498
  1784       310   (K_S0)             -91  1682  1682  2077  2078     0     0     -0.073      0.148     -0.139      0.542      0.498
  1785       310   (K_S0)             -91  1691  1691  2079  2080     0     0      0.659     -0.704      3.865      4.015      0.498
  1786       310   (K_S0)             -91  1721  1721  2081  2082     0     0      0.361     -0.751      3.168      3.314      0.498
  1787       130   K_L0                91  1732  1732     0     0     0     0      1.779      0.068     -3.297      3.780      0.498
  1788       310   (K_S0)             -91  1755  1755  2083  2084     0     0     -0.200     -0.531     -3.091      3.182      0.498
  1789       130   K_L0                91  1757  1757     0     0     0     0      0.469      0.161     -3.487      3.557      0.498
  1790        22   gamma               91  1206     0     0     0     0     0      0.004      0.184      8.253      8.255      0.000
  1791        22   gamma               91  1206     0     0     0     0     0     -0.331      1.383     60.251     60.268      0.000
  1792      3122   (Lambda0)          -91  1212     0  2085  2086     0     0      0.082     -0.662    264.530    264.533      1.116
  1793        22   gamma               91  1212     0     0     0     0     0     -0.058     -0.078     29.165     29.165      0.000
  1794        22   gamma               91  1225     0     0     0     0     0      0.048      0.168      1.264      1.276      0.000
  1795        22   gamma               91  1225     0     0     0     0     0     -0.087      0.541      4.142      4.178      0.000
  1796       211   pi+                 91  1232     0     0     0     0     0     -0.907     -0.180      5.602      5.680      0.140
  1797      -211   pi-                 91  1232     0     0     0     0     0     -0.072     -0.042      1.906      1.913      0.140
  1798       111   (pi0)              -91  1232     0  2087  2088     0     0     -0.123     -0.236      1.936      1.959      0.135
  1799       211   pi+                 91  1234     0     0     0     0     0      0.046      0.097      0.135      0.222      0.140
  1800      -211   pi-                 91  1234     0     0     0     0     0     -0.343     -0.013      0.794      0.876      0.140
  1801       111   (pi0)              -91  1234     0  2089  2090     0     0     -0.065     -0.176      0.107      0.255      0.135
  1802       211   pi+                 91  1236     0     0     0     0     0     -0.130     -0.084      0.326      0.387      0.140
  1803      -211   pi-                 91  1236     0     0     0     0     0      0.031      0.175      0.451      0.504      0.140
  1804       111   (pi0)              -91  1236     0  2091  2092     0     0     -0.181      0.258      1.983      2.012      0.135
  1805       -11   e+                  91  1255     0     0     0     0     0     -1.008     -0.273     -3.656      3.802      0.001
  1806        12   nu_e                91  1255     0     0     0     0     0     -0.856     -0.032     -4.360      4.444      0.000
  1807      -313   (K*bar0)           -91  1255     0  2093  2094     0     0     -1.001     -0.062    -10.547     10.633      0.909
  1808       211   pi+                 91  1257     0     0     0     0     0     -0.276     -0.290     -1.006      1.091      0.140
  1809      -211   pi-                 91  1257     0     0     0     0     0     -0.198      0.113     -0.940      0.978      0.140
  1810       111   (pi0)              -91  1257     0  2095  2096     0     0     -0.073      0.154     -0.300      0.371      0.135
  1811        22   gamma               91  1270     0     0     0     0     0     -0.422     -0.248    -26.788     26.792      0.000
  1812        22   gamma               91  1270     0     0     0     0     0     -0.046     -0.080     -3.510      3.511      0.000
  1813        22   gamma               91  1292     0     0     0     0     0      0.160      0.126      0.384      0.434      0.000
  1814        22   gamma               91  1292     0     0     0     0     0     -0.251     -0.226      1.210      1.256      0.000
  1815      3122   (Lambda0)          -91  1294     0  2097  2098     0     0     -0.052     -0.892      3.529      3.807      1.116
  1816        22   gamma               91  1294     0     0     0     0     0      0.072     -0.092      0.291      0.314      0.000
  1817     -3122   (Lambdabar0)       -91  1295     0  2099  2100     0     0      1.013      0.270      3.864      4.156      1.116
  1818        22   gamma               91  1295     0     0     0     0     0      0.110     -0.027      0.167      0.202      0.000
  1819        22   gamma               91  1297     0     0     0     0     0     -0.287     -0.054      0.752      0.807      0.000
  1820        22   gamma               91  1297     0     0     0     0     0     -0.112     -0.085      0.212      0.255      0.000
  1821        22   gamma               91  1298     0     0     0     0     0      0.147     -0.199      0.858      0.893      0.000
  1822        22   gamma               91  1298     0     0     0     0     0      0.339     -0.240      1.077      1.155      0.000
  1823      2112   n0                  91  1300     0     0     0     0     0     -0.340     -0.437      1.275      1.678      0.940
  1824       111   (pi0)              -91  1300     0  2101  2102     0     0      0.007     -0.025      0.052      0.147      0.135
  1825     -2212   pbar-               91  1307     0     0     0     0     0     -0.985      1.414      4.789      5.175      0.938
  1826       211   pi+                 91  1307     0     0     0     0     0     -0.363      0.411      1.445      1.552      0.140
  1827       211   pi+                 91  1314     0     0     0     0     0      0.905     -0.238      5.557      5.637      0.140
  1828      -211   pi-                 91  1314     0     0     0     0     0      0.410     -0.315      1.996      2.067      0.140
  1829       111   (pi0)              -91  1314     0  2103  2104     0     0      0.181      0.064      0.917      0.947      0.135
  1830        22   gamma               91  1316     0     0     0     0     0      0.026     -0.249      1.882      1.898      0.000
  1831        22   gamma               91  1316     0     0     0     0     0     -0.220      0.247      2.664      2.685      0.000
  1832        22   gamma               91  1317     0     0     0     0     0     -0.559     -1.357     10.692     10.792      0.000
  1833        22   gamma               91  1317     0     0     0     0     0     -0.083     -0.185      1.155      1.172      0.000
  1834        22   gamma               91  1319     0     0     0     0     0     -0.103     -0.145      1.633      1.643      0.000
  1835        22   gamma               91  1319     0     0     0     0     0     -1.224     -1.957     17.257     17.410      0.000
  1836        22   gamma               91  1336     0     0     0     0     0      0.219     -0.680      4.789      4.842      0.000
  1837        22   gamma               91  1336     0     0     0     0     0      0.208     -0.902      7.160      7.219      0.000
  1838       111   (pi0)              -91  1340     0  2105  2106     0     0      0.134      0.003     31.859     31.860      0.135
  1839       111   (pi0)              -91  1340     0  2107  2108     0     0      0.131     -0.128     18.836     18.837      0.135
  1840       111   (pi0)              -91  1340     0  2109  2110     0     0      0.136     -0.229     57.094     57.094      0.135
  1841       211   pi+                 91  1341     0     0     0     0     0      0.786     -0.146     53.652     53.659      0.140
  1842      -211   pi-                 91  1341     0     0     0     0     0      0.501      0.071     21.933     21.939      0.140
  1843       111   (pi0)              -91  1341     0  2111  2112     0     0      0.098      0.068      4.868      4.871      0.135
  1844      2212   p+                  91  1344     0     0     0     0     0     -0.652      1.224    257.390    257.396      0.938
  1845      -211   pi-                 91  1344     0     0     0     0     0     -0.174      0.310     77.958     77.959      0.140
  1846       211   pi+                 91  1349     0     0     0     0     0     -0.013      0.264     17.654     17.656      0.140
  1847      -211   pi-                 91  1349     0     0     0     0     0     -0.224      0.003      4.610      4.618      0.140
  1848       111   (pi0)              -91  1349     0  2113  2114     0     0     -0.140     -0.044      4.330      4.334      0.135
  1849        22   gamma               91  1360     0     0     0     0     0      0.829      0.058     -0.352      0.902      0.000
  1850        22   gamma               91  1360     0     0     0     0     0      0.179     -0.004     -0.147      0.232      0.000
  1851       211   pi+                 91  1363     0     0     0     0     0     -0.010      0.257      3.523      3.535      0.140
  1852      -211   pi-                 91  1363     0     0     0     0     0     -0.038     -0.131      3.378      3.384      0.140
  1853       111   (pi0)              -91  1363     0  2115  2116     0     0      0.015     -0.195      1.512      1.530      0.135
  1854     -2112   nbar0               91  1366     0     0     0     0     0      0.470      0.042     37.190     37.205      0.940
  1855       211   pi+                 91  1366     0     0     0     0     0     -0.083     -0.028      2.715      2.720      0.140
  1856       323   (K*+)              -91  1385     0  2117  2118     0     0      1.240     -1.516     10.673     10.884      0.848
  1857      -313   (K*bar0)           -91  1385     0  2119  2120     0     0      1.218     -1.948     12.233     12.487      1.001
  1858        22   gamma               91  1388     0     0     0     0     0      0.181     -0.592      1.097      1.259      0.000
  1859        22   gamma               91  1388     0     0     0     0     0      0.024     -0.251      0.321      0.408      0.000
  1860       211   pi+                 91  1389     0     0     0     0     0      0.780     -0.580      1.596      1.874      0.140
  1861      -211   pi-                 91  1389     0     0     0     0     0      2.155     -1.685      5.337      5.999      0.140
  1862       111   (pi0)              -91  1389     0  2121  2122     0     0      2.810     -2.232      7.740      8.532      0.135
  1863       211   pi+                 91  1392     0     0     0     0     0      1.880     -1.740      4.910      5.539      0.140
  1864      -211   pi-                 91  1392     0     0     0     0     0      5.733     -5.104     14.757     16.635      0.140
  1865       221   (eta)              -91  1392     0  2123  2124     0     0     27.771    -24.716     71.795     80.851      0.548
  1866        22   gamma               91  1396     0     0     0     0     0      3.109     -2.276      8.741      9.552      0.000
  1867        22   gamma               91  1396     0     0     0     0     0      4.620     -3.180     12.749     13.928      0.000
  1868      -421   (Dbar0)            -91  1402     0  2125  2127     0     0    272.779   -220.834    772.446    848.441      1.865
  1869       111   (pi0)              -91  1402     0  2128  2129     0     0     18.915    -15.369     53.624     58.903      0.135
  1870       411   (D+)               -91  1426     0  2130  2133     0     0     62.451    -49.651    173.687    191.144      1.870
  1871       111   (pi0)              -91  1426     0  2134  2135     0     0      5.024     -4.022     13.929     15.344      0.135
  1872        22   gamma               91  1429     0     0     0     0     0      0.603     -0.495      1.749      1.915      0.000
  1873        22   gamma               91  1429     0     0     0     0     0      3.586     -2.540      9.662     10.614      0.000
  1874        22   gamma               91  1436     0     0     0     0     0      0.539     -2.129     10.470     10.698      0.000
  1875        22   gamma               91  1436     0     0     0     0     0      0.398     -1.161      5.838      5.965      0.000
  1876        22   gamma               91  1441     0     0     0     0     0      1.548     -4.604     14.942     15.711      0.000
  1877        22   gamma               91  1441     0     0     0     0     0     -0.017     -0.462      1.320      1.398      0.000
  1878        22   gamma               91  1442     0     0     0     0     0      2.764     -8.189     30.614     31.811      0.000
  1879        22   gamma               91  1442     0     0     0     0     0      0.373     -1.227      4.669      4.842      0.000
  1880        22   gamma               91  1443     0     0     0     0     0      2.868     -9.507     33.805     35.233      0.000
  1881        22   gamma               91  1443     0     0     0     0     0      0.640     -1.952      7.909      8.172      0.000
  1882        22   gamma               91  1446     0     0     0     0     0      0.224     -0.438      1.097      1.202      0.000
  1883        22   gamma               91  1446     0     0     0     0     0      2.956     -6.736     15.712     17.348      0.000
  1884       211   pi+                 91  1447     0     0     0     0     0      0.232     -0.468      1.154      1.275      0.140
  1885      -211   pi-                 91  1447     0     0     0     0     0      2.763     -3.761      8.817      9.977      0.140
  1886       111   (pi0)              -91  1447     0  2136  2137     0     0      0.949     -1.111      3.100      3.430      0.135
  1887        22   gamma               91  1448     0     0     0     0     0      0.801     -1.591      2.732      3.262      0.000
  1888        22   gamma               91  1448     0     0     0     0     0      0.620     -1.374      2.513      2.930      0.000
  1889      2112   n0                  91  1451     0     0     0     0     0      1.160     -4.449     11.757     12.659      0.940
  1890      -211   pi-                 91  1451     0     0     0     0     0      0.580     -1.417      4.230      4.501      0.140
  1891     -2112   nbar0               91  1452     0     0     0     0     0      2.106     -4.406     12.488     13.441      0.940
  1892       211   pi+                 91  1452     0     0     0     0     0      0.147     -0.506      1.809      1.890      0.140
  1893        22   gamma               91  1455     0     0     0     0     0      0.713     -3.385      8.201      8.901      0.000
  1894        22   gamma               91  1455     0     0     0     0     0      0.427     -2.997      6.046      6.762      0.000
  1895       211   pi+                 91  1459     0     0     0     0     0      0.324     -0.166      1.419      1.471      0.140
  1896      -211   pi-                 91  1459     0     0     0     0     0      0.938     -0.919      4.207      4.409      0.140
  1897       111   (pi0)              -91  1459     0  2138  2139     0     0      0.429     -0.258      3.104      3.147      0.135
  1898       211   pi+                 91  1483     0     0     0     0     0      0.090      0.246     -0.169      0.341      0.140
  1899      -211   pi-                 91  1483     0     0     0     0     0      0.607      0.629     -1.549      1.784      0.140
  1900       111   (pi0)              -91  1483     0  2140  2141     0     0      0.120      0.055     -0.116      0.222      0.135
  1901       211   pi+                 91  1489     0     0     0     0     0      1.193      0.789     -3.409      3.700      0.140
  1902      -211   pi-                 91  1489     0     0     0     0     0      0.723      0.720     -3.031      3.201      0.140
  1903       111   (pi0)              -91  1489     0  2142  2143     0     0      1.519      0.784     -5.124      5.403      0.135
  1904       111   (pi0)              -91  1491     0  2144  2145     0     0      1.417      0.811     -3.745      4.087      0.135
  1905        22   gamma               91  1491     0     0     0     0     0      0.154      0.438     -1.891      1.947      0.000
  1906        22   gamma               91  1500     0     0     0     0     0      0.136     -0.045      0.271      0.306      0.000
  1907        22   gamma               91  1500     0     0     0     0     0     -0.340     -0.339      0.121      0.495      0.000
  1908      -421   (Dbar0)            -91  1505     0  2146  2148     0     0     10.965    -15.164     16.182     24.809      1.865
  1909       111   (pi0)              -91  1505     0  2149  2150     0     0      0.862     -1.160      1.305      1.952      0.135
  1910        22   gamma               91  1531     0     0     0     0     0     -0.232      0.560     -0.031      0.607      0.000
  1911        22   gamma               91  1531     0     0     0     0     0     -0.043      0.373     -0.039      0.377      0.000
  1912       211   pi+                 91  1534     0     0     0     0     0      0.230      0.547     -0.135      0.624      0.140
  1913      -211   pi-                 91  1534     0     0     0     0     0      0.607      0.354     -0.309      0.781      0.140
  1914       111   (pi0)              -91  1534     0  2151  2152     0     0      0.289      0.269      0.105      0.430      0.135
  1915        22   gamma               91  1537     0     0     0     0     0      1.172      1.270     -0.412      1.776      0.000
  1916        22   gamma               91  1537     0     0     0     0     0      0.265      0.477      0.149      0.566      0.000
  1917       211   pi+                 91  1538     0     0     0     0     0      0.356      0.043     -0.264      0.467      0.140
  1918      -211   pi-                 91  1538     0     0     0     0     0      0.118      0.287      0.110      0.358      0.140
  1919       111   (pi0)              -91  1538     0  2153  2154     0     0      0.033      0.223     -0.144      0.300      0.135
  1920       211   pi+                 91  1540     0     0     0     0     0      0.548      0.808     -0.252      1.018      0.140
  1921      -211   pi-                 91  1540     0     0     0     0     0      0.228      0.044     -0.129      0.300      0.140
  1922       111   (pi0)              -91  1540     0  2155  2156     0     0      0.026      0.339     -0.063      0.371      0.135
  1923      3122   (Lambda0)          -91  1541     0  2157  2158     0     0      0.051      0.258     -0.193      1.162      1.116
  1924        22   gamma               91  1541     0     0     0     0     0      0.070     -0.020      0.010      0.074      0.000
  1925       211   pi+                 91  1542     0     0     0     0     0     -0.057      0.091      0.059      0.186      0.140
  1926      -211   pi-                 91  1542     0     0     0     0     0      0.021      0.261     -0.035      0.299      0.140
  1927       221   (eta)              -91  1542     0  2159  2160     0     0     -0.017      0.041     -0.060      0.553      0.548
  1928     -2212   pbar-               91  1543     0     0     0     0     0     -0.436      0.427      0.312      1.162      0.938
  1929       211   pi+                 91  1543     0     0     0     0     0     -0.141      0.208      0.104      0.306      0.140
  1930      2212   p+                  91  1544     0     0     0     0     0     -0.940     -0.201     -1.098      1.735      0.938
  1931       111   (pi0)              -91  1544     0  2161  2162     0     0     -0.453      0.113     -0.302      0.572      0.135
  1932     -3122   (Lambdabar0)       -91  1545     0  2163  2164     0     0     -0.293      0.229     -1.406      1.833      1.116
  1933        22   gamma               91  1545     0     0     0     0     0      0.031      0.027     -0.182      0.187      0.000
  1934       111   (pi0)              -91  1549     0  2165  2166     0     0     -0.595      0.388    -19.413     19.426      0.135
  1935        22   gamma               91  1549     0     0     0     0     0     -0.507     -0.353    -12.756     12.771      0.000
  1936       211   pi+                 91  1554     0     0     0     0     0     -0.290      0.184    -60.179     60.180      0.140
  1937      -211   pi-                 91  1554     0     0     0     0     0     -0.844      0.726   -272.197    272.199      0.140
  1938       111   (pi0)              -91  1554     0  2167  2168     0     0     -0.308      0.022    -44.632     44.633      0.135
  1939       211   pi+                 91  1569     0     0     0     0     0      0.059     -0.148     20.314     20.315      0.140
  1940      -211   pi-                 91  1569     0     0     0     0     0      0.091     -0.060     60.326     60.326      0.140
  1941       111   (pi0)              -91  1569     0  2169  2170     0     0     -0.274      0.125     56.495     56.496      0.135
  1942       111   (pi0)              -91  1570     0  2171  2172     0     0      0.133      0.007     41.814     41.815      0.135
  1943       111   (pi0)              -91  1570     0  2173  2174     0     0     -0.071      0.123    102.344    102.344      0.135
  1944       111   (pi0)              -91  1570     0  2175  2176     0     0     -0.028      0.007     64.600     64.600      0.135
  1945        22   gamma               91  1576     0     0     0     0     0     -0.093     -0.066      0.009      0.114      0.000
  1946        22   gamma               91  1576     0     0     0     0     0     -0.077      0.062     -0.030      0.104      0.000
  1947        22   gamma               91  1582     0     0     0     0     0     -0.151     -1.093     -1.487      1.851      0.000
  1948        22   gamma               91  1582     0     0     0     0     0     -0.008      0.001     -0.007      0.010      0.000
  1949        22   gamma               91  1583     0     0     0     0     0     -0.303     -0.483     -0.306      0.647      0.000
  1950        22   gamma               91  1583     0     0     0     0     0      0.002     -0.069     -0.012      0.070      0.000
  1951       211   pi+                 91  1585     0     0     0     0     0     -0.095     -0.390     -0.570      0.711      0.140
  1952      -211   pi-                 91  1585     0     0     0     0     0      0.106     -0.082     -0.056      0.202      0.140
  1953       111   (pi0)              -91  1585     0  2177  2178     0     0     -0.151     -0.885     -0.642      1.112      0.135
  1954       211   pi+                 91  1589     0     0     0     0     0      0.010     -0.100      0.201      0.265      0.140
  1955      -211   pi-                 91  1589     0     0     0     0     0      0.068     -0.032      0.884      0.898      0.140
  1956       111   (pi0)              -91  1589     0  2179  2180     0     0      0.478     -0.007      0.530      0.726      0.135
  1957       211   pi+                 91  1603     0     0     0     0     0     -0.036     -0.107      0.326      0.372      0.140
  1958      -211   pi-                 91  1603     0     0     0     0     0     -0.197      0.246      1.787      1.820      0.140
  1959       111   (pi0)              -91  1603     0  2181  2182     0     0     -0.041      0.336      1.776      1.813      0.135
  1960        22   gamma               91  1609     0     0     0     0     0     -0.030     -0.272     -3.800      3.810      0.000
  1961        22   gamma               91  1609     0     0     0     0     0      0.045     -0.272     -2.553      2.568      0.000
  1962        22   gamma               91  1610     0     0     0     0     0     -0.143     -0.154     -3.016      3.024      0.000
  1963        22   gamma               91  1610     0     0     0     0     0     -0.057     -0.085     -3.535      3.536      0.000
  1964       211   pi+                 91  1613     0     0     0     0     0     -0.032     -0.095     -6.227      6.229      0.140
  1965      -211   pi-                 91  1613     0     0     0     0     0     -0.032      0.318     -4.059      4.074      0.140
  1966       111   (pi0)              -91  1613     0  2183  2184     0     0      0.173      0.088     -2.671      2.682      0.135
  1967       211   pi+                 91  1616     0     0     0     0     0      0.167      0.195     -0.721      0.778      0.140
  1968      -211   pi-                 91  1616     0     0     0     0     0      0.008      0.062     -0.463      0.488      0.140
  1969       111   (pi0)              -91  1616     0  2185  2186     0     0      0.346      0.076     -1.066      1.131      0.135
  1970      -421   (Dbar0)            -91  1618     0  2187  2189     0     0     -2.834     -0.292     -6.831      7.632      1.865
  1971      -211   pi-                 91  1618     0     0     0     0     0     -0.211     -0.063     -0.503      0.566      0.140
  1972        22   gamma               91  1620     0     0     0     0     0      0.230      0.639     14.857     14.872      0.000
  1973        22   gamma               91  1620     0     0     0     0     0      0.554      1.450     29.805     29.846      0.000
  1974        22   gamma               91  1622     0     0     0     0     0      0.012     -0.143     22.801     22.801      0.000
  1975        22   gamma               91  1622     0     0     0     0     0     -0.026     -0.122      7.822      7.823      0.000
  1976        22   gamma               91  1624     0     0     0     0     0     -0.457     -0.071    307.257    307.258      0.000
  1977        22   gamma               91  1624     0     0     0     0     0     -0.069      0.004     93.792     93.792      0.000
  1978        22   gamma               91  1628     0     0     0     0     0     -1.391     -0.312     12.536     12.617      0.000
  1979        22   gamma               91  1628     0     0     0     0     0     -0.291     -0.057      2.121      2.142      0.000
  1980        22   gamma               91  1630     0     0     0     0     0     -0.039     -0.014      0.591      0.592      0.000
  1981        22   gamma               91  1630     0     0     0     0     0     -0.013      0.160      1.452      1.461      0.000
  1982       211   pi+                 91  1632     0     0     0     0     0     -0.292      0.739      6.494      6.544      0.140
  1983      -211   pi-                 91  1632     0     0     0     0     0     -0.072      0.152      3.976      3.982      0.140
  1984        22   gamma               91  1640     0     0     0     0     0      0.035     -0.310     -2.590      2.609      0.000
  1985        22   gamma               91  1640     0     0     0     0     0     -0.041     -0.048     -0.306      0.313      0.000
  1986        22   gamma               91  1642     0     0     0     0     0      0.010     -0.254     -0.176      0.309      0.000
  1987        22   gamma               91  1642     0     0     0     0     0      0.094     -0.115     -0.159      0.217      0.000
  1988        22   gamma               91  1644     0     0     0     0     0     -0.455     -0.217     -0.459      0.682      0.000
  1989        22   gamma               91  1644     0     0     0     0     0     -0.145     -0.148     -0.130      0.245      0.000
  1990        22   gamma               91  1646     0     0     0     0     0      0.098     -0.213    -39.682     39.683      0.000
  1991        22   gamma               91  1646     0     0     0     0     0      0.040      0.012     -4.905      4.905      0.000
  1992        22   gamma               91  1650     0     0     0     0     0     -0.101     -0.027    -37.047     37.047      0.000
  1993        22   gamma               91  1650     0     0     0     0     0     -0.426      0.034   -257.041    257.042      0.000
  1994        22   gamma               91  1654     0     0     0     0     0      0.113     -0.116      0.657      0.677      0.000
  1995        22   gamma               91  1654     0     0     0     0     0      0.015      0.012      0.007      0.020      0.000
  1996        22   gamma               91  1658     0     0     0     0     0     -0.910      0.131      1.571      1.820      0.000
  1997        22   gamma               91  1658     0     0     0     0     0     -0.116      0.068      0.239      0.274      0.000
  1998        22   gamma               91  1660     0     0     0     0     0     -0.164     -0.303      0.548      0.648      0.000
  1999        22   gamma               91  1660     0     0     0     0     0     -0.160     -0.100      0.253      0.315      0.000
  2000        22   gamma               91  1664     0     0     0     0     0      1.505     -0.096      7.556      7.705      0.000
  2001        22   gamma               91  1664     0     0     0     0     0      0.071     -0.022      0.267      0.277      0.000
  2002        22   gamma               91  1666     0     0     0     0     0      0.037     -0.061      0.470      0.476      0.000
  2003        22   gamma               91  1666     0     0     0     0     0      0.572     -1.218      5.764      5.919      0.000
  2004        22   gamma               91  1670     0     0     0     0     0      0.057     -0.282      4.915      4.923      0.000
  2005        22   gamma               91  1670     0     0     0     0     0     -0.046     -0.132      1.571      1.577      0.000
  2006        22   gamma               91  1672     0     0     0     0     0      0.048     -0.101      7.533      7.533      0.000
  2007        22   gamma               91  1672     0     0     0     0     0      0.082      0.032      5.940      5.940      0.000
  2008        22   gamma               91  1680     0     0     0     0     0     -0.523     -0.301     19.152     19.161      0.000
  2009        22   gamma               91  1680     0     0     0     0     0     -0.016     -0.044      2.221      2.222      0.000
  2010       111   (pi0)              -91  1681     0  2190  2191     0     0      0.038     -0.100     -0.042      0.177      0.135
  2011       111   (pi0)              -91  1681     0  2192  2193     0     0      0.547      0.133      0.158      0.600      0.135
  2012        22   gamma               91  1685     0     0     0     0     0      0.058     -0.040      0.454      0.460      0.000
  2013        22   gamma               91  1685     0     0     0     0     0      0.110     -0.175      3.620      3.626      0.000
  2014       111   (pi0)              -91  1686     0  2194  2195     0     0      0.049      0.152      2.339      2.348      0.135
  2015       111   (pi0)              -91  1686     0  2196  2197     0     0      0.238      0.058      0.746      0.796      0.135
  2016        22   gamma               91  1692     0     0     0     0     0      0.359     -0.399      3.993      4.029      0.000
  2017        22   gamma               91  1692     0     0     0     0     0      0.014     -0.002      0.390      0.390      0.000
  2018        22   gamma               91  1694     0     0     0     0     0      8.884     -7.513     22.040     24.922      0.000
  2019        22   gamma               91  1694     0     0     0     0     0      9.990     -8.636     25.054     28.321      0.000
  2020        22   gamma               91  1696     0     0     0     0     0      6.963     -6.590     18.303     20.662      0.000
  2021        22   gamma               91  1696     0     0     0     0     0      2.434     -2.394      6.419      7.270      0.000
  2022        22   gamma               91  1698     0     0     0     0     0      2.726     -2.104      6.556      7.405      0.000
  2023        22   gamma               91  1698     0     0     0     0     0      4.399     -3.292     10.788     12.107      0.000
  2024        22   gamma               91  1700     0     0     0     0     0      6.335     -5.234     16.509     18.441      0.000
  2025        22   gamma               91  1700     0     0     0     0     0      8.789     -7.468     23.170     25.882      0.000
  2026        22   gamma               91  1702     0     0     0     0     0      1.367     -1.115      3.857      4.241      0.000
  2027        22   gamma               91  1702     0     0     0     0     0      9.549     -7.368     26.680     29.280      0.000
  2028        22   gamma               91  1706     0     0     0     0     0      0.007     -0.215      1.328      1.345      0.000
  2029        22   gamma               91  1706     0     0     0     0     0      0.338     -1.248      7.138      7.255      0.000
  2030        22   gamma               91  1710     0     0     0     0     0      0.586     -1.029      5.439      5.567      0.000
  2031        22   gamma               91  1710     0     0     0     0     0      0.013      0.000      0.090      0.091      0.000
  2032        22   gamma               91  1712     0     0     0     0     0      0.935     -2.497      9.571      9.936      0.000
  2033        22   gamma               91  1712     0     0     0     0     0      1.472     -4.339     16.067     16.708      0.000
  2034        22   gamma               91  1714     0     0     0     0     0      0.032     -0.098      0.179      0.206      0.000
  2035        22   gamma               91  1714     0     0     0     0     0      1.995     -3.419      6.857      7.918      0.000
  2036        22   gamma               91  1716     0     0     0     0     0      0.793     -1.258      3.941      4.213      0.000
  2037        22   gamma               91  1716     0     0     0     0     0      0.404     -0.834      2.380      2.554      0.000
  2038        22   gamma               91  1718     0     0     0     0     0      0.309     -1.007      3.407      3.566      0.000
  2039        22   gamma               91  1718     0     0     0     0     0      0.029     -0.272      0.746      0.795      0.000
  2040        22   gamma               91  1720     0     0     0     0     0      0.218     -0.559      1.893      1.986      0.000
  2041        22   gamma               91  1720     0     0     0     0     0      0.136     -0.184      0.553      0.598      0.000
  2042       211   pi+                 91  1723     0     0     0     0     0      0.416     -0.166      1.735      1.797      0.140
  2043      -211   pi-                 91  1723     0     0     0     0     0      2.951     -0.486      9.908     10.350      0.140
  2044        22   gamma               91  1725     0     0     0     0     0     -0.075     -0.121     -0.519      0.538      0.000
  2045        22   gamma               91  1725     0     0     0     0     0     -0.097     -0.622     -2.842      2.910      0.000
  2046       211   pi+                 91  1731     0     0     0     0     0      0.899      0.802     -2.495      2.774      0.140
  2047      -211   pi-                 91  1731     0     0     0     0     0      0.932      0.817     -3.678      3.884      0.140
  2048        22   gamma               91  1735     0     0     0     0     0      0.070      0.055     -0.139      0.165      0.000
  2049        22   gamma               91  1735     0     0     0     0     0     -0.007      0.071     -0.442      0.447      0.000
  2050        22   gamma               91  1737     0     0     0     0     0      0.065      0.053     -0.189      0.207      0.000
  2051        22   gamma               91  1737     0     0     0     0     0      0.079     -0.084     -0.292      0.314      0.000
  2052        22   gamma               91  1740     0     0     0     0     0      0.150      0.009     -0.184      0.238      0.000
  2053        11   e-                  91  1740     0     0     0     0     0      0.028     -0.030     -0.108      0.116      0.001
  2054       -11   e+                  91  1740     0     0     0     0     0      0.113     -0.072     -0.249      0.282      0.001
  2055        22   gamma               91  1746     0     0     0     0     0      0.067      0.196     -7.634      7.637      0.000
  2056        22   gamma               91  1746     0     0     0     0     0     -0.008     -0.018     -0.404      0.404      0.000
  2057        22   gamma               91  1750     0     0     0     0     0     -0.092     -1.001     14.604     14.639      0.000
  2058        22   gamma               91  1750     0     0     0     0     0     -0.002     -0.070      1.678      1.679      0.000
  2059        22   gamma               91  1752     0     0     0     0     0      0.122     -0.095      0.927      0.940      0.000
  2060        22   gamma               91  1752     0     0     0     0     0      0.040     -0.117      0.336      0.358      0.000
  2061        22   gamma               91  1754     0     0     0     0     0      0.066     -0.003     -0.465      0.470      0.000
  2062        22   gamma               91  1754     0     0     0     0     0     -0.030      0.091     -1.000      1.004      0.000
  2063        22   gamma               91  1765     0     0     0     0     0      0.175      0.053     -0.345      0.391      0.000
  2064        22   gamma               91  1765     0     0     0     0     0      0.113     -0.071     -0.190      0.232      0.000
  2065        22   gamma               91  1767     0     0     0     0     0     -0.034     -0.068     16.179     16.179      0.000
  2066        22   gamma               91  1767     0     0     0     0     0      0.088     -0.035     36.975     36.975      0.000
  2067        22   gamma               91  1769     0     0     0     0     0      0.164      0.019      2.662      2.667      0.000
  2068        22   gamma               91  1769     0     0     0     0     0      0.174      0.091      6.034      6.038      0.000
  2069        22   gamma               91  1771     0     0     0     0     0      0.120     -0.020      0.286      0.311      0.000
  2070        22   gamma               91  1771     0     0     0     0     0      0.333     -0.114      0.398      0.531      0.000
  2071        22   gamma               91  1777     0     0     0     0     0      0.006      0.019     -0.019      0.028      0.000
  2072        22   gamma               91  1777     0     0     0     0     0      0.292      0.005     -1.153      1.189      0.000
  2073       111   (pi0)              -91  1781     0  2198  2199     0     0      0.496      0.283      0.534      0.793      0.135
  2074       111   (pi0)              -91  1781     0  2200  2201     0     0      0.197      0.193     -0.025      0.309      0.135
  2075       211   pi+                 91  1783     0     0     0     0     0     -0.028      0.006      2.391      2.395      0.140
  2076      -211   pi-                 91  1783     0     0     0     0     0     -0.750     -0.226     20.467     20.483      0.140
  2077       211   pi+                 91  1784     0     0     0     0     0      0.153      0.120      0.003      0.240      0.140
  2078      -211   pi-                 91  1784     0     0     0     0     0     -0.227      0.028     -0.141      0.303      0.140
  2079       211   pi+                 91  1785     0     0     0     0     0      0.358     -0.109      1.603      1.652      0.140
  2080      -211   pi-                 91  1785     0     0     0     0     0      0.301     -0.596      2.262      2.363      0.140
  2081       211   pi+                 91  1786     0     0     0     0     0     -0.056     -0.138      0.481      0.522      0.140
  2082      -211   pi-                 91  1786     0     0     0     0     0      0.417     -0.612      2.688      2.791      0.140
  2083       111   (pi0)              -91  1788     0  2202  2203     0     0     -0.177     -0.429     -1.380      1.462      0.135
  2084       111   (pi0)              -91  1788     0  2204  2206     0     0     -0.024     -0.101     -1.712      1.720      0.135
  2085      2112   n0                  91  1792     0     0     0     0     0      0.035     -0.519    238.110    238.112      0.940
  2086       111   (pi0)              -91  1792     0  2207  2208     0     0      0.047     -0.143     26.420     26.421      0.135
  2087        22   gamma               91  1798     0     0     0     0     0     -0.041     -0.206      1.435      1.451      0.000
  2088        22   gamma               91  1798     0     0     0     0     0     -0.082     -0.030      0.500      0.508      0.000
  2089        22   gamma               91  1801     0     0     0     0     0     -0.017     -0.029      0.094      0.100      0.000
  2090        22   gamma               91  1801     0     0     0     0     0     -0.048     -0.147      0.013      0.155      0.000
  2091        22   gamma               91  1804     0     0     0     0     0     -0.033      0.003      0.457      0.458      0.000
  2092        22   gamma               91  1804     0     0     0     0     0     -0.148      0.255      1.526      1.554      0.000
  2093      -321   K-                  91  1807     0     0     0     0     0     -0.569     -0.124     -8.580      8.614      0.494
  2094       211   pi+                 91  1807     0     0     0     0     0     -0.432      0.063     -1.967      2.019      0.140
  2095        22   gamma               91  1810     0     0     0     0     0     -0.016      0.159     -0.223      0.274      0.000
  2096        22   gamma               91  1810     0     0     0     0     0     -0.057     -0.005     -0.078      0.097      0.000
  2097      2112   n0                  91  1815     0     0     0     0     0     -0.092     -0.769      2.769      3.025      0.940
  2098       111   (pi0)              -91  1815     0  2209  2210     0     0      0.040     -0.123      0.760      0.782      0.135
  2099     -2212   pbar-               91  1817     0     0     0     0     0      0.774      0.170      2.930      3.176      0.938
  2100       211   pi+                 91  1817     0     0     0     0     0      0.240      0.100      0.934      0.979      0.140
  2101        22   gamma               91  1824     0     0     0     0     0     -0.014      0.015     -0.040      0.045      0.000
  2102        22   gamma               91  1824     0     0     0     0     0      0.020     -0.040      0.092      0.102      0.000
  2103        22   gamma               91  1829     0     0     0     0     0      0.062      0.072      0.608      0.615      0.000
  2104        22   gamma               91  1829     0     0     0     0     0      0.119     -0.009      0.309      0.332      0.000
  2105        22   gamma               91  1838     0     0     0     0     0      0.030     -0.008      1.227      1.227      0.000
  2106        22   gamma               91  1838     0     0     0     0     0      0.104      0.010     30.633     30.633      0.000
  2107        22   gamma               91  1839     0     0     0     0     0      0.147     -0.135     14.989     14.990      0.000
  2108        22   gamma               91  1839     0     0     0     0     0     -0.016      0.008      3.847      3.847      0.000
  2109        22   gamma               91  1840     0     0     0     0     0     -0.017     -0.091     16.905     16.906      0.000
  2110        22   gamma               91  1840     0     0     0     0     0      0.153     -0.138     40.188     40.189      0.000
  2111        22   gamma               91  1843     0     0     0     0     0      0.107      0.100      3.728      3.731      0.000
  2112        22   gamma               91  1843     0     0     0     0     0     -0.008     -0.032      1.140      1.140      0.000
  2113        22   gamma               91  1848     0     0     0     0     0     -0.007      0.036      0.467      0.468      0.000
  2114        22   gamma               91  1848     0     0     0     0     0     -0.133     -0.081      3.863      3.866      0.000
  2115        22   gamma               91  1853     0     0     0     0     0     -0.033     -0.006      0.411      0.412      0.000
  2116        22   gamma               91  1853     0     0     0     0     0      0.049     -0.189      1.101      1.118      0.000
  2117       311   (K0)               -91  1856     0  2211  2211     0     0      0.729     -1.232      6.971      7.134      0.498
  2118       211   pi+                 91  1856     0     0     0     0     0      0.510     -0.284      3.702      3.751      0.140
  2119      -311   (Kbar0)            -91  1857     0  2212  2212     0     0      1.134     -1.271      9.662      9.823      0.498
  2120       111   (pi0)              -91  1857     0  2213  2214     0     0      0.084     -0.678      2.571      2.663      0.135
  2121        22   gamma               91  1862     0     0     0     0     0      0.720     -0.589      2.145      2.338      0.000
  2122        22   gamma               91  1862     0     0     0     0     0      2.090     -1.643      5.595      6.194      0.000
  2123        22   gamma               91  1865     0     0     0     0     0      3.574     -3.429      9.601     10.804      0.000
  2124        22   gamma               91  1865     0     0     0     0     0     24.197    -21.287     62.194     70.047      0.000
  2125      -211   pi-                 91  1868     0     0     0     0     0    124.537   -100.752    354.410    388.930      0.140
  2126       211   pi+                 91  1868     0     0     0     0     0    102.352    -82.701    287.661    316.330      0.140
  2127       111   (pi0)              -91  1868     0  2215  2216     0     0     45.890    -37.381    130.375    143.181      0.135
  2128        22   gamma               91  1869     0     0     0     0     0     13.927    -11.355     39.658     43.539      0.000
  2129        22   gamma               91  1869     0     0     0     0     0      4.989     -4.015     13.966     15.364      0.000
  2130       -13   mu+                 91  1870     0     0     0     0     0     20.844    -16.374     57.982     63.754      0.106
  2131        14   nu_mu               91  1870     0     0     0     0     0      4.824     -4.234     13.379     14.839      0.000
  2132      -321   K-                  91  1870     0     0     0     0     0     17.308    -13.944     48.662     53.499      0.494
  2133       211   pi+                 91  1870     0     0     0     0     0     19.474    -15.099     53.665     59.052      0.140
  2134        22   gamma               91  1871     0     0     0     0     0      1.508     -1.236      4.360      4.776      0.000
  2135        22   gamma               91  1871     0     0     0     0     0      3.515     -2.786      9.569     10.568      0.000
  2136        22   gamma               91  1886     0     0     0     0     0      0.207     -0.163      0.538      0.599      0.000
  2137        22   gamma               91  1886     0     0     0     0     0      0.742     -0.948      2.562      2.830      0.000
  2138        22   gamma               91  1897     0     0     0     0     0      0.413     -0.239      2.674      2.716      0.000
  2139        22   gamma               91  1897     0     0     0     0     0      0.016     -0.019      0.430      0.431      0.000
  2140        22   gamma               91  1900     0     0     0     0     0      0.082      0.088     -0.034      0.125      0.000
  2141        22   gamma               91  1900     0     0     0     0     0      0.038     -0.034     -0.082      0.096      0.000
  2142        22   gamma               91  1903     0     0     0     0     0      1.142      0.632     -4.037      4.243      0.000
  2143        22   gamma               91  1903     0     0     0     0     0      0.377      0.153     -1.086      1.160      0.000
  2144        22   gamma               91  1904     0     0     0     0     0      0.506      0.287     -1.177      1.313      0.000
  2145        22   gamma               91  1904     0     0     0     0     0      0.911      0.524     -2.568      2.775      0.000
  2146       310   (K_S0)             -91  1908     0  2217  2218     0     0      9.180    -12.789     13.564     20.786      0.498
  2147      -211   pi-                 91  1908     0     0     0     0     0      0.135     -0.103      0.342      0.406      0.140
  2148       211   pi+                 91  1908     0     0     0     0     0      1.650     -2.272      2.277      3.617      0.140
  2149        22   gamma               91  1909     0     0     0     0     0      0.691     -0.928      1.114      1.606      0.000
  2150        22   gamma               91  1909     0     0     0     0     0      0.171     -0.232      0.191      0.346      0.000
  2151        22   gamma               91  1914     0     0     0     0     0      0.164      0.224      0.106      0.297      0.000
  2152        22   gamma               91  1914     0     0     0     0     0      0.125      0.045     -0.002      0.133      0.000
  2153        22   gamma               91  1919     0     0     0     0     0      0.031      0.096      0.008      0.102      0.000
  2154        22   gamma               91  1919     0     0     0     0     0      0.002      0.127     -0.152      0.198      0.000
  2155        22   gamma               91  1922     0     0     0     0     0      0.041      0.287     -0.003      0.290      0.000
  2156        22   gamma               91  1922     0     0     0     0     0     -0.015      0.052     -0.060      0.081      0.000
  2157      2212   p+                  91  1923     0     0     0     0     0      0.107      0.162     -0.218      0.983      0.938
  2158      -211   pi-                 91  1923     0     0     0     0     0     -0.056      0.096      0.024      0.180      0.140
  2159        22   gamma               91  1927     0     0     0     0     0     -0.146     -0.211     -0.081      0.269      0.000
  2160        22   gamma               91  1927     0     0     0     0     0      0.129      0.252      0.021      0.284      0.000
  2161        22   gamma               91  1931     0     0     0     0     0     -0.315      0.025     -0.154      0.351      0.000
  2162        22   gamma               91  1931     0     0     0     0     0     -0.138      0.088     -0.149      0.221      0.000
  2163     -2112   nbar0               91  1932     0     0     0     0     0     -0.144      0.208     -1.140      1.498      0.940
  2164       111   (pi0)              -91  1932     0  2219  2220     0     0     -0.149      0.021     -0.266      0.334      0.135
  2165        22   gamma               91  1934     0     0     0     0     0     -0.093      0.043     -4.237      4.238      0.000
  2166        22   gamma               91  1934     0     0     0     0     0     -0.502      0.345    -15.176     15.188      0.000
  2167        22   gamma               91  1938     0     0     0     0     0     -0.012     -0.033     -5.847      5.847      0.000
  2168        22   gamma               91  1938     0     0     0     0     0     -0.296      0.055    -38.784     38.786      0.000
  2169        22   gamma               91  1941     0     0     0     0     0     -0.020     -0.011     12.441     12.441      0.000
  2170        22   gamma               91  1941     0     0     0     0     0     -0.254      0.136     44.054     44.055      0.000
  2171        22   gamma               91  1942     0     0     0     0     0      0.050     -0.031     30.710     30.710      0.000
  2172        22   gamma               91  1942     0     0     0     0     0      0.083      0.038     11.104     11.105      0.000
  2173        22   gamma               91  1943     0     0     0     0     0     -0.065      0.015     18.901     18.901      0.000
  2174        22   gamma               91  1943     0     0     0     0     0     -0.006      0.109     83.443     83.443      0.000
  2175        22   gamma               91  1944     0     0     0     0     0      0.027      0.045     45.856     45.856      0.000
  2176        22   gamma               91  1944     0     0     0     0     0     -0.055     -0.038     18.744     18.744      0.000
  2177        22   gamma               91  1953     0     0     0     0     0     -0.001     -0.130     -0.044      0.138      0.000
  2178        22   gamma               91  1953     0     0     0     0     0     -0.150     -0.754     -0.597      0.974      0.000
  2179        22   gamma               91  1956     0     0     0     0     0      0.458     -0.020      0.532      0.702      0.000
  2180        22   gamma               91  1956     0     0     0     0     0      0.020      0.013     -0.002      0.024      0.000
  2181        22   gamma               91  1959     0     0     0     0     0     -0.049      0.029      0.255      0.262      0.000
  2182        22   gamma               91  1959     0     0     0     0     0      0.008      0.307      1.520      1.551      0.000
  2183        22   gamma               91  1966     0     0     0     0     0      0.166      0.108     -2.594      2.601      0.000
  2184        22   gamma               91  1966     0     0     0     0     0      0.007     -0.020     -0.077      0.080      0.000
  2185        22   gamma               91  1969     0     0     0     0     0      0.210      0.087     -0.812      0.844      0.000
  2186        22   gamma               91  1969     0     0     0     0     0      0.135     -0.010     -0.253      0.288      0.000
  2187       310   (K_S0)             -91  1970     0  2221  2222     0     0     -0.567     -0.502     -1.246      1.541      0.498
  2188      -211   pi-                 91  1970     0     0     0     0     0     -1.041      0.347     -1.845      2.151      0.140
  2189       211   pi+                 91  1970     0     0     0     0     0     -1.226     -0.137     -3.739      3.940      0.140
  2190        22   gamma               91  2010     0     0     0     0     0      0.010      0.009     -0.061      0.062      0.000
  2191        22   gamma               91  2010     0     0     0     0     0      0.028     -0.110      0.019      0.115      0.000
  2192        22   gamma               91  2011     0     0     0     0     0      0.463      0.122      0.182      0.513      0.000
  2193        22   gamma               91  2011     0     0     0     0     0      0.083      0.012     -0.024      0.087      0.000
  2194        22   gamma               91  2014     0     0     0     0     0      0.041     -0.004      0.883      0.884      0.000
  2195        22   gamma               91  2014     0     0     0     0     0      0.007      0.156      1.455      1.464      0.000
  2196        22   gamma               91  2015     0     0     0     0     0      0.161     -0.016      0.335      0.372      0.000
  2197        22   gamma               91  2015     0     0     0     0     0      0.077      0.074      0.411      0.424      0.000
  2198        22   gamma               91  2073     0     0     0     0     0      0.314      0.125      0.374      0.504      0.000
  2199        22   gamma               91  2073     0     0     0     0     0      0.181      0.158      0.160      0.289      0.000
  2200        22   gamma               91  2074     0     0     0     0     0     -0.008     -0.001      0.020      0.022      0.000
  2201        22   gamma               91  2074     0     0     0     0     0      0.205      0.195     -0.046      0.287      0.000
  2202        22   gamma               91  2083     0     0     0     0     0     -0.016     -0.216     -0.618      0.655      0.000
  2203        22   gamma               91  2083     0     0     0     0     0     -0.160     -0.213     -0.762      0.807      0.000
  2204        22   gamma               91  2084     0     0     0     0     0      0.042     -0.030     -0.248      0.253      0.000
  2205        11   e-                  91  2084     0     0     0     0     0     -0.042     -0.049     -1.010      1.012      0.001
  2206       -11   e+                  91  2084     0     0     0     0     0     -0.024     -0.022     -0.453      0.454      0.001
  2207        22   gamma               91  2086     0     0     0     0     0     -0.024     -0.003      9.941      9.941      0.000
  2208        22   gamma               91  2086     0     0     0     0     0      0.070     -0.140     16.479     16.480      0.000
  2209        22   gamma               91  2098     0     0     0     0     0     -0.018      0.022      0.089      0.093      0.000
  2210        22   gamma               91  2098     0     0     0     0     0      0.058     -0.146      0.671      0.689      0.000
  2211       130   K_L0                91  2117  2117     0     0     0     0      0.729     -1.232      6.971      7.134      0.498
  2212       130   K_L0                91  2119  2119     0     0     0     0      1.134     -1.271      9.662      9.823      0.498
  2213        22   gamma               91  2120     0     0     0     0     0      0.042     -0.134      0.362      0.388      0.000
  2214        22   gamma               91  2120     0     0     0     0     0      0.042     -0.544      2.209      2.275      0.000
  2215        22   gamma               91  2127     0     0     0     0     0     36.928    -30.028    104.756    115.062      0.000
  2216        22   gamma               91  2127     0     0     0     0     0      8.962     -7.352     25.619     28.119      0.000
  2217       211   pi+                 91  2146     0     0     0     0     0      2.547     -3.831      4.053      6.132      0.140
  2218      -211   pi-                 91  2146     0     0     0     0     0      6.633     -8.958      9.511     14.653      0.140
  2219        22   gamma               91  2164     0     0     0     0     0      0.002      0.033     -0.117      0.122      0.000
  2220        22   gamma               91  2164     0     0     0     0     0     -0.151     -0.012     -0.149      0.213      0.000
  2221       211   pi+                 91  2187     0     0     0     0     0     -0.334     -0.487     -0.670      0.904      0.140
  2222      -211   pi-                 91  2187     0     0     0     0     0     -0.232     -0.016     -0.576      0.637      0.140
                                   Charge sum:  2.000           Momentum sum:     -0.000      0.000      0.000  14000.000  14000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> G g                                    5021 |        2745        185        185 |   1.210e-11  5.566e-13 |
 | q g -> G q                                    5022 |        7960        668        668 |   4.489e-11  1.012e-12 |
 | q qbar -> G g                                 5023 |        3961        147        147 |   9.339e-12  2.968e-13 |
 |                                                    |                                   |                        |
 | sum                                                |       14666       1000       1000 |   6.633e-11  1.193e-12 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |     88   Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated                           | 
 |      2   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      1   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:08       dN/m: graviton mass spectrum

        4.05*10^ 1                         7                                                                            
        3.90*10^ 1                         X                                                                            
        3.75*10^ 1                         X    7                                                                       
        3.60*10^ 1                         X    X                                                                       
        3.45*10^ 1                         X   7X                                                                       
        3.30*10^ 1                         X  XXX                                                                       
        3.15*10^ 1                         X  XXX  7                                                                    
        3.00*10^ 1                       X X  XXXX X                                                                    
        2.85*10^ 1                       X X  XXXX X     7                                                              
        2.70*10^ 1                   X   XXX  XXXX X     X                                                              
        2.55*10^ 1                   X   XXX  XXXX X     X                                                              
        2.40*10^ 1                   X   XXX  XXXX X 3   X                                                              
        2.25*10^ 1                 7 X7  XXX  XXXX X7X  7X                                                              
        2.10*10^ 1                 XXXX33XXXXXXXXXXXXXX3XX                                                              
        1.95*10^ 1                 XXXXXXXXXXXXXXXXXXXXXXX7       7                                                     
        1.80*10^ 1                XXXXXXXXXXXXXXXXXXXXXXXXX     X X   X                                                 
        1.65*10^ 1              7 XXXXXXXXXXXXXXXXXXXXXXXXX 7   X X   X                                                 
        1.50*10^ 1              X XXXXXXXXXXXXXXXXXXXXXXXXX3X   X X   X                                                 
        1.35*10^ 1            7 X7XXXXXXXXXXXXXXXXXXXXXXXXXXX   X X777X                                                 
        1.20*10^ 1          3XX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXX 3XXXXXXXX3                                                
        1.05*10^ 1          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XXXXXXXXXX 7                                              
        0.90*10^ 1         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X 3                                            
        0.75*10^ 1         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X X 77                                         
        0.60*10^ 1         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3X XX 3    3                                  
        0.45*10^ 1         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX7X  7 X                                  
        0.30*10^ 1      3 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 3X3XX3  333 3     33   3              
        0.15*10^ 1      X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XXXXXX 7XXX X777 7XX 7 X7 77 7        

          Contents                                                                                                      
            *10^ 1  0000000011111112222223242233332322222211111111111111010000000000000000000000000000000000000000000000
            *10^ 0  0000203912316382172000701134701123102894601282933381705837745124253201222021110122010210110100000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 3  0000000000000001111111111111122222222222222333333333333333444444444444445555555555555566666666666666
            *10^ 2  0012234456778990112344566788901123345567889001223455677899012234456678990112334566788900123345567789
            *10^ 1  0741852963074185296307418529630741852963074185296307418529630741852963074185296307418529630741852963

   Entries  =        1000    Mean =  2.2527e+03    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  9.9900e+02    Rms  =  1.0675e+03    Overflow  =  1.0000e+00    High edge =  7.0000e+03


  2013-09-20 16:08       dN/dETjet: monojet check

        5.80*10^ 1                 X                                                                                    
        5.60*10^ 1                 X                                                                                    
        5.40*10^ 1                5X                                                                                    
        5.20*10^ 1                XX                                                                                    
        5.00*10^ 1                XX                                                                                    
        4.80*10^ 1                XX                                                                                    
        4.60*10^ 1                XX                                                                                    
        4.40*10^ 1                XX                                                                                    
        4.20*10^ 1                XX5                                                                                   
        4.00*10^ 1                XXX                                                                                   
        3.80*10^ 1                XXX                                                                                   
        3.60*10^ 1                XXXX                                                                                  
        3.40*10^ 1                XXXX                                                                                  
        3.20*10^ 1                XXXX                                                                                  
        3.00*10^ 1                XXXX                                                                                  
        2.80*10^ 1                XXXX                                                                                  
        2.60*10^ 1                XXXX                                                                                  
        2.40*10^ 1                XXXX                                                                                  
        2.20*10^ 1                XXXXX                                                                                 
        2.00*10^ 1                XXXXX                                                                                 
        1.80*10^ 1                XXXXX                                                                                 
        1.60*10^ 1                XXXXX5                                                                                
        1.40*10^ 1                XXXXXXX 5                                                                             
        1.20*10^ 1                XXXXXXXXXX                                                                            
        1.00*10^ 1                XXXXXXXXXX  5                                                                         
        0.80*10^ 1                XXXXXXXXXXX X                                                                         
        0.60*10^ 1                XXXXXXXXXXX X   5                                                                     
        0.40*10^ 1                XXXXXXXXXXXXX X X                                                                     
        0.20*10^ 1                XXXXXXXXXXXXXXX5X5 55                                                                 

          Contents                                                                                                      
            *10^ 1  0000000000000055432111110000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000000038162542328492415101100000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 3  0000000000000001111111111111122222222222222333333333333333444444444444445555555555555566666666666666
            *10^ 2  0012234456778990112344566788901123345567889001223455677899012234456678990112334566788900123345567789
            *10^ 1  0741852963074185296307418529630741852963074185296307418529630741852963074185296307418529630741852963

   Entries  =         312    Mean =  1.2968e+03    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.1200e+02    Rms  =  2.9040e+02    Overflow  =  0.0000e+00    High edge =  7.0000e+03
pythia8-8.1.86.orig/examples/outref/out280000644000175000017500000016746512357054720016415 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:08:39    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

 *-----------------------  SusyLesHouches SUSY/BSM Interface  ------------------------*
 | Last Change 01 Aug 2012 - P. Skands
 | Parsing: sps1aNarrowStopGluino.spc
 *------------------------------------------------------------------------------------*
 | 
 |   Spectrum Calculator was:   SOFTSUSY   version: 2.0.5
 |   Read SLHA spectrum from: sps1aNarrowStopGluino.spc
 | 
 |  ~g                  m
 |     1000021    607.714
 | 
 |  ~d                  m     ~dL     ~sL     ~bL     ~dR     ~sR     ~bR
 |     1000001    568.441   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000003    568.441   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000005    513.065   0.000   0.000   0.939   0.000   0.000   0.345  
 |     2000001    545.228   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000003    545.228   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000005    543.727   0.000   0.000  -0.345   0.000   0.000   0.939  
 | 
 |  ~u                  m     ~uL     ~cL     ~tL     ~uR     ~cR     ~tR
 |     1000002    561.119   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000004    561.119   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000006    399.668   0.000   0.000   0.554   0.000   0.000   0.833  
 |     2000002    549.259   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000004    549.259   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000006    585.786   0.000   0.000   0.833   0.000   0.000  -0.554  
 | 
 |  ~e                  m     ~eL    ~muL   ~tauL     ~eR    ~muR   ~tauR
 |     1000011    202.916   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000013    202.916   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000015    134.491   0.000   0.000   0.282   0.000   0.000   0.959  
 |     2000011    144.103   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000013    144.103   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000015    206.868   0.000   0.000   0.959   0.000   0.000  -0.282  
 | 
 |  ~nu                 m   ~nu_e  ~nu_mu ~nu_tau
 |     1000012    185.258   1.000   0.000   0.000  
 |     1000014    185.258   0.000   1.000   0.000  
 |     1000016    184.708   0.000   0.000   1.000  
 | 
 |  ~chi0               m      ~B    ~W_3    ~H_1    ~H_2
 |     1000022     96.688   0.986  -0.053   0.146  -0.053  
 |     1000023    181.088   0.099   0.945  -0.270   0.156  
 |     1000025   -363.756  -0.060   0.088   0.696   0.710  
 |     1000035    381.729  -0.117   0.311   0.649  -0.684  
 | 
 |  ~chi+               m   U:   ~W      ~H  |  V:   ~W      ~H
 |     1000024    181.696     0.917  -0.399  |    0.973  -0.233  
 |     1000037    379.939     0.399   0.917  |    0.233   0.973  
 | 
 |  Higgs      
 |     alpha       -0.114
 |     mu         357.681 (DRbar running value at Q = 467.034 GeV)
 |     tan(beta)    9.749 (DRbar running value at Q = 467.034 GeV)
 |     v          244.895 (DRbar running value at Q = 467.034 GeV)
 |     mA       1.664e+05 (DRbar running value at Q = 467.034 GeV)
 | 
 |  Gauge      
 |     g'          absent
 |     g           absent
 |     g3           1.102 (DRbar running value at Q = 467.034 GeV)
 | 
 *------------------------------------------------------------------------------------*
 PYTHIA Warning in SLHAinterface::initSLHA(): adding off shell DECAY mode 25 -> 24 -24
 PYTHIA Warning in SLHAinterface::initSLHA(): adding off shell DECAY mode 25 -> 23 23
 | (SLHA::initSUSY) Warning: Block GAUGE not found or incomplete; using sin(thetaW) at mZ

 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 7.000e+03 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> gluino gluino                          1201 |   1.755e-09 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   50.91 mb               | 
 |                                                                  | 
 |    pT0 =  2.70 gives sigmaInteraction =  208.15 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 7000.000 |    14000.000    10.00000             | 
 | Check:nErrList                                |                        2 |            0                         | 
 | HiggsA3:coup2d                                |                  9.74862 |      1.00000                         | 
 | HiggsA3:coup2H1Z                              |               -0.0116039 |      1.00000                         | 
 | HiggsA3:coup2H2Z                              |                  0.99993 |      1.00000                         | 
 | HiggsA3:coup2l                                |                  0.10258 |      1.00000                         | 
 | HiggsA3:coup2u                                |                  0.10258 |      1.00000                         | 
 | HiggsH1:coup2d                                |                  1.11305 |      1.00000                         | 
 | HiggsH1:coup2Hchg                             |                  0.58109 |          0.0                         | 
 | HiggsH1:coup2l                                |                  0.99874 |      1.00000                         | 
 | HiggsH1:coup2u                                |                  0.99874 |      1.00000                         | 
 | HiggsH1:coup2W                                |                  0.99993 |      1.00000                         | 
 | HiggsH1:coup2Z                                |                  0.99993 |      1.00000                         | 
 | HiggsH2:coup2A3A3                             |                  0.20991 |      1.00000                         | 
 | HiggsH2:coup2d                                |                  9.73636 |      1.00000                         | 
 | HiggsH2:coup2H1H1                             |                 -0.64972 |      1.00000                         | 
 | HiggsH2:coup2Hchg                             |                  0.19206 |          0.0                         | 
 | HiggsH2:coup2HchgW                            |                  0.99993 |          0.0                         | 
 | HiggsH2:coup2l                                |                 -0.11418 |      1.00000                         | 
 | HiggsH2:coup2u                                |                 -0.11418 |      1.00000                         | 
 | HiggsH2:coup2W                                |               -0.0116039 |      1.00000                         | 
 | HiggsH2:coup2Z                                |               -0.0116039 |      1.00000                         | 
 | HiggsHchg:coup2H1W                            |               -0.0116039 |      1.00000                         | 
 | HiggsHchg:coup2H2W                            |                  0.99993 |          0.0                         | 
 | HiggsHchg:tanBeta                             |                  9.74862 |      5.00000                         | 
 | Init:showChangedParticleData                  |                      off |           on                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:showScaleAndVertex                       |                       on |          off                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | RHadrons:allow                                |                       on |          off                         | 
 | RHadrons:allowDecay                           |                      off |           on                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SLHA:file                                     | sps1aNarrowStopGluino.spc |         void                        | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | SUSY:gg2gluinogluino                          |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  3.500e+03, e =  3.500e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -3.500e+03, e =  3.500e+03, m =  9.383e-01.

 In 1: id =   21, x =  1.104e-01, pdf =  5.410e-01 at Q2 =  5.021e+05.
 In 2: id =   21, x =  3.773e-01, pdf =  1.845e-02 at same Q2.

 Subprocess g g -> gluino gluino with code 1201 is 2 -> 2.
 It has sHat =  2.042e+06,    tHat = -7.827e+05,    uHat = -5.206e+05,
       pTHat =  3.644e+02,   m3Hat =  6.077e+02,   m4Hat =  6.077e+02,
    thetaHat =  1.817e+00,  phiHat =  6.080e+00.
     alphaEM =  8.004e-03,  alphaS =  1.025e-01    at Q2 =  5.021e+05.

 Impact parameter b =  5.185e-01 gives enhancement factor =  2.227e+00.
 Max pT scale for MPI =  7.000e+03, ISR =  7.000e+03, FSR =  7.000e+03.
 Number of MPI =     7, ISR =    12, FSRproc =    96, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
                                    scale         pol                             xProd      yProd      zProd      tProd       tau
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   7000.000   7000.000
                                    0.000       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00

     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   3500.000   3500.000      0.938
                                    0.000       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00

     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -3500.000   3500.000      0.938
                                    0.000       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00

     3        21   (g)                -21     1     0     5     6   102   101      0.000      0.000    386.573    386.573      0.000
                                  708.570       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00

     4        21   (g)                -21     2     0     5     6   104   103      0.000      0.000  -1320.534   1320.534      0.000
                                  708.570       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  0.000e+00

     5   1000021   (~g)               -22     3     4     7     8   104   101    356.830    -73.671   -576.548    913.498    607.714
                                  708.570       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  4.814e-13

     6   1000021   (~g)               -22     3     4     9    10   102   103   -356.830     73.671   -357.413    793.609    607.714
                                  708.570       9.000                          0.000e+00  0.000e+00  0.000e+00  0.000e+00  2.235e-11

     7   1000006   (~t_1)             -22     5     0    11    12   104     0    198.604    -14.767   -473.440    650.801    399.668
                                  607.714       9.000                          2.827e-13 -5.836e-14 -4.567e-13  7.237e-13  1.362e-11

     8        -6   (tbar)             -22     5     0    13    14     0   101    158.226    -58.904   -103.107    262.697    172.839
                                  607.714       9.000                          2.827e-13 -5.836e-14 -4.567e-13  7.237e-13  0.000e+00

     9   1000005   (~b_1)             -22     6     0    15    16   102     0   -216.618     68.267   -223.262    599.423    507.817
                                  607.714       9.000                         -1.312e-11  2.709e-12 -1.314e-11  2.918e-11  2.456e-15

    10        -5   bbar                23     6     0     0     0     0   103   -140.212      5.405   -134.151    194.186      4.800
                                  607.714       9.000                         -1.312e-11  2.709e-12 -1.314e-11  2.918e-11  0.000e+00

    11   1000024   (~chi_1+)          -22     7     0    17    18     0     0    252.259    -93.090   -255.521    413.051    181.714
                                  399.668       9.000                          7.052e-12 -5.617e-13 -1.659e-11  2.291e-11  1.471e-11

    12         5   b                   23     7     0     0     0   104     0    -53.655     78.323   -217.919    237.750      4.800
                                  399.668       9.000                          7.052e-12 -5.617e-13 -1.659e-11  2.291e-11  0.000e+00

    13       -24   (W-)               -22     8     0    19    20     0     0    105.688    -19.214   -134.288    189.684     80.049
                                  172.839       9.000                          2.827e-13 -5.836e-14 -4.567e-13  7.237e-13  0.000e+00

    14        -5   bbar                23     8     0     0     0     0   101     52.538    -39.690     31.181     73.012      4.800
                                  172.839       9.000                          2.827e-13 -5.836e-14 -4.567e-13  7.237e-13  0.000e+00

    15  -1000024   (~chi_1-)          -22     9     0    21    22     0     0   -195.068    203.312   -103.345    350.830    181.698
                                  507.817       9.000                         -1.312e-11  2.710e-12 -1.314e-11  2.919e-11  4.661e-12

    16         6   (t)                -22     9     0    23    24   102     0    -21.550   -135.045   -119.917    248.594    169.461
                                  507.817       9.000                         -1.312e-11  2.710e-12 -1.314e-11  2.919e-11  0.000e+00

    17  -1000015   (~tau_1+)          -22    11     0    25    26     0     0    218.535   -118.109   -220.258    358.217    134.533
                                  181.714       9.000                          2.747e-11 -8.095e-12 -3.727e-11  5.633e-11  9.246e-13

    18        16   nu_tau              23    11     0     0     0     0     0     33.724     25.019    -35.264     54.834      0.000
                                  181.714       9.000                          2.747e-11 -8.095e-12 -3.727e-11  5.633e-11  0.000e+00

    19        13   mu-                 23    13     0     0     0     0     0     56.371    -43.493   -106.455    128.071      0.106
                                   80.049       9.000                          2.827e-13 -5.836e-14 -4.567e-13  7.237e-13  3.098e+05

    20       -14   nu_mubar            23    13     0     0     0     0     0     49.316     24.279    -27.833     61.613      0.000
                                   80.049       9.000                          2.827e-13 -5.836e-14 -4.567e-13  7.237e-13  0.000e+00

    21   1000015   (~tau_1-)          -22    15     0    27    28     0     0   -184.688    137.664    -98.013    284.153    134.444
                                  181.698       9.000                         -1.813e-11  7.925e-12 -1.580e-11  3.819e-11  1.177e-12

    22       -16   nu_taubar           23    15     0     0     0     0     0    -10.379     65.648     -5.332     66.677      0.000
                                  181.698       9.000                         -1.813e-11  7.925e-12 -1.580e-11  3.819e-11  0.000e+00

    23        24   (W+)               -22    16     0    29    30     0     0     24.569    -85.677    -12.293    121.432     81.550
                                  169.461       9.000                         -1.312e-11  2.710e-12 -1.314e-11  2.919e-11  0.000e+00

    24         5   b                   23    16     0     0     0   102     0    -46.119    -49.368   -107.624    127.162      4.800
                                  169.461       9.000                         -1.312e-11  2.710e-12 -1.314e-11  2.919e-11  0.000e+00

    25   1000022   ~chi_10             23    17     0     0     0     0     0    155.665   -120.048   -179.812    283.415     96.688
                                  134.533       9.000                          2.897e-11 -8.907e-12 -3.879e-11  5.879e-11  0.000e+00

    26       -15   tau+                23    17     0     0     0     0     0     62.870      1.939    -40.446     74.802      1.777
                                  134.533       9.000                          2.897e-11 -8.907e-12 -3.879e-11  5.879e-11  2.655e-01

    27   1000022   ~chi_10             23    21     0     0     0     0     0   -121.719    103.531    -37.784    190.553     96.688
                                  134.444       9.000                         -1.974e-11  9.129e-12 -1.665e-11  4.067e-11  0.000e+00

    28        15   tau-                23    21     0     0     0     0     0    -62.969     34.133    -60.230     93.600      1.777
                                  134.444       9.000                         -1.974e-11  9.129e-12 -1.665e-11  4.067e-11  7.161e-02

    29       -15   tau+                23    23     0     0     0     0     0     10.022    -29.238    -44.982     54.606      1.777
                                   81.550       9.000                         -1.312e-11  2.710e-12 -1.314e-11  2.919e-11  2.541e-01

    30        16   nu_tau              23    23     0     0     0     0     0     14.546    -56.439     32.690     66.825      0.000
                                   81.550       9.000                         -1.312e-11  2.710e-12 -1.314e-11  2.919e-11  0.000e+00

                                   Charge sum:  0.000           Momentum sum:      0.000     -0.000   -933.960   1707.107   1428.961

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in TauDecays::decay: unknown tau production, assuming unpolarized and uncorrelated  
 PYTHIA Error in StringFragmentation::fragmentToJunction: caught in junction flavour loop  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> gluino gluino                          1201 |        2265        200        200 |   1.473e-10  5.959e-12 |
 |                                                    |                                   |                        |
 | sum                                                |        2265        200        200 |   1.473e-10  5.959e-12 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      2   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      2   Error in StringFragmentation::fragmentToJunction: caught in junction flavour loop                      | 
 |      2   Warning in SLHAinterface::initSLHA(): adding off shell DECAY mode                                      | 
 |      1   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |    273   Warning in TauDecays::decay: unknown tau production, assuming unpolarized and uncorrelated             | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 

 Composition of produced R-hadrons 
    code            name   times 
-1093224   Rbar-(~g suu)       2
-1093214   Rbar0(~g sud)       4
-1093114   Rbar+(~g sdd)       1
-1092214   Rbar-(~g uud)       9
-1092114   Rbar0(~g udd)       8
-1009323   R-(~g s ubar)      15
-1009313   R0(~g s dbar)      14
-1009213   R-(~g d ubar)      52
 1000993        R0(~g g)      41
 1009113   R0(~g d dbar)      61
 1009213   R+(~g u dbar)      62
 1009223   R0(~g u ubar)      62
 1009313   R0(~g d sbar)      12
 1009323   R+(~g u sbar)      11
 1009333   R0(~g s sbar)       6
 1091114      R-(~g ddd)       1
 1092114      R0(~g udd)      22
 1092214      R+(~g uud)       7
 1092224     R++(~g uuu)       2
 1093114      R-(~g sdd)       1
 1093214      R0(~g sud)       3
 1093224      R+(~g suu)       4


  2013-09-20 16:08       charged multiplicity

        1.40*10^ 1              X                                                                                       
        1.35*10^ 1              X                                                                                       
        1.30*10^ 1              X                                                                                       
        1.25*10^ 1              X                                                                                       
        1.20*10^ 1              XX    X                                                                                 
        1.15*10^ 1              XX    X                                                                                 
        1.10*10^ 1              XX  X X X  X                                                                            
        1.05*10^ 1              XX  X X X  X                                                                            
        1.00*10^ 1              XX  X XXXX X                                                                            
        0.95*10^ 1              XX  X XXXX X                                                                            
        0.90*10^ 1            XXXX XXXXXXXXX                                                                            
        0.85*10^ 1            XXXX XXXXXXXXX                                                                            
        0.80*10^ 1            XXXX XXXXXXXXX    X                                                                       
        0.75*10^ 1            XXXX XXXXXXXXX    X                                                                       
        0.70*10^ 1            XXXX XXXXXXXXX    X                                                                       
        0.65*10^ 1            XXXX XXXXXXXXX    X                                                                       
        0.60*10^ 1            XXXXXXXXXXXXXX X  X                                                                       
        0.55*10^ 1            XXXXXXXXXXXXXX X  X                                                                       
        0.50*10^ 1         X  XXXXXXXXXXXXXXXXX X                                                                       
        0.45*10^ 1         X  XXXXXXXXXXXXXXXXX X                                                                       
        0.40*10^ 1         X XXXXXXXXXXXXXXXXXX X                                                                       
        0.35*10^ 1         X XXXXXXXXXXXXXXXXXX X                                                                       
        0.30*10^ 1        XXXXXXXXXXXXXXXXXXXXXXX   XX                                                                  
        0.25*10^ 1        XXXXXXXXXXXXXXXXXXXXXXX   XX                                                                  
        0.20*10^ 1        XXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.15*10^ 1        XXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.10*10^ 1        XXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX                                                            
        0.05*10^ 1        XXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX                                                            

          Contents                                                                                                      
            *10^ 1  0000000000001100101111010000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000003534994269192010915653822233200011000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =         200    Mean =  1.5094e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  2.0000e+02    Rms  =  5.5307e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:08       dn/dy charged

        0.96*10^ 3                                                    6                                                 
        0.92*10^ 3                                                 966X 26                                              
        0.88*10^ 3                                                1XXXX8XX                                              
        0.84*10^ 3                                               XXXXXXXXX                                              
        0.80*10^ 3                                             1 XXXXXXXXX                                              
        0.76*10^ 3                                            8X8XXXXXXXXX6 6                                           
        0.72*10^ 3                                            XXXXXXXXXXXXX X                                           
        0.68*10^ 3                                           6XXXXXXXXXXXXX8X63                                         
        0.64*10^ 3                                          3XXXXXXXXXXXXXXXXXX                                         
        0.60*10^ 3                                        22XXXXXXXXXXXXXXXXXXX6                                        
        0.56*10^ 3                                      57XXXXXXXXXXXXXXXXXXXXXXX26                                     
        0.52*10^ 3                                     1XXXXXXXXXXXXXXXXXXXXXXXXXXX2                                    
        0.48*10^ 3                                    6XXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                                   
        0.44*10^ 3                                  95XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX714                                
        0.40*10^ 3                                 7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                               
        0.36*10^ 3                               13XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 6                             
        0.32*10^ 3                               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XX                            
        0.28*10^ 3                             97XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                           
        0.24*10^ 3                           2 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX65                         
        0.20*10^ 3                          6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX42                       
        0.16*10^ 3                       442XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX61                     
        0.12*10^ 3                      2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6 1                 
        0.08*10^ 3               2445696XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3414             
        0.04*10^ 3        1 23598XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8X6432 1     

          Contents                                                                                                      
            *10^ 2  0000000000000000000001111222233344445555667778899998897676655554444433332221111110000000000000000000
            *10^ 1  0000000001233555667683328007623832683466165654410047804746586248520171415217642207855453321100000000
            *10^ 0  0000104181163047026497474916641840529779043320555542726033220629663554497485634159435271847091211000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       30046    Mean =  3.1152e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+01
   All chan =  3.0046e+04    Rms  =  2.8765e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:08       dn/dy R-hadrons

        3.00*10^ 1                                                 X    2                                               
        2.88*10^ 1                                                 X    X                                               
        2.76*10^ 1                                                5X 5  X                                               
        2.64*10^ 1                                                XX X  X                                               
        2.52*10^ 1                                                XX X  X                                               
        2.40*10^ 1                                                XXXX  XX                                              
        2.28*10^ 1                                                XXXX3 XX                                              
        2.16*10^ 1                                                XXXXX XX                                              
        2.04*10^ 1                                                XXXXX XX                                              
        1.92*10^ 1                                              8 XXXXX XX                                              
        1.80*10^ 1                                           X  X XXXXX XX2                                             
        1.68*10^ 1                                           X  X3XXXXX XXX                                             
        1.56*10^ 1                                           X 5XXXXXXX5XXX 5                                           
        1.44*10^ 1                                           X XXXXXXXXXXXX X                                           
        1.32*10^ 1                                           X XXXXXXXXXXXX X8                                          
        1.20*10^ 1                                           XXXXXXXXXXXXXXXXX2                                         
        1.08*10^ 1                                          3XXXXXXXXXXXXXXXXXX                                         
        0.96*10^ 1                                        5 XXXXXXXXXXXXXXXXXXX                                         
        0.84*10^ 1                                        X XXXXXXXXXXXXXXXXXXX                                         
        0.72*10^ 1                                        X8XXXXXXXXXXXXXXXXXXX8                                        
        0.60*10^ 1                                        XXXXXXXXXXXXXXXXXXXXXX  X                                     
        0.48*10^ 1                                        XXXXXXXXXXXXXXXXXXXXXX 3X                                     
        0.36*10^ 1                                      5 XXXXXXXXXXXXXXXXXXXXXX5XX                                     
        0.24*10^ 1                                      X XXXXXXXXXXXXXXXXXXXXXXXXX                                     
        0.12*10^ 1                                   8 8X8XXXXXXXXXXXXXXXXXXXXXXXXX8   8                                

          Contents                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000111111232221221111100000000000000000000000000000000000000000
            *10^ 0  0000000000000000000000000000000001013197082596704725947253173461000100000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  5444444444433333333332222222222111111111100000000000000000001111111111222222222233333333334444444444
            *10^-1  0987654321098765432109876543210987654321098765432101234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =         400    Mean = -5.5250e-02    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  4.0000e+02    Rms  =  5.9820e-01    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:08       pT R-hadrons

        1.50*10^ 1             X                    X                                                                   
        1.44*10^ 1             X    3    333        X                                                                   
        1.38*10^ 1             X    X    XXX        X                                                                   
        1.32*10^ 1             X    X    XXX7       X                                                                   
        1.26*10^ 1             X    X    XXXX       X                                                                   
        1.20*10^ 1             X    X    XXXXX      X                                                                   
        1.14*10^ 1             X    X3   XXXXX 3    X                                                                   
        1.08*10^ 1             X    XX   XXXXX X    X                                                                   
        1.02*10^ 1             X7   XX 7 XXXXX X 7  X                                                                   
        0.96*10^ 1             XX   XX X XXXXX X X  X                                                                   
        0.90*10^ 1             XX   XX XXXXXXX X X XX     XX                                                            
        0.84*10^ 1         3 3 XX  3XX XXXXXXX X X3XX     XX                                                            
        0.78*10^ 1         X X XX  XXX XXXXXXX X XXXX     XX                                                            
        0.72*10^ 1         X X XX77XXX7XXXXXXX X XXXX7 7  XX7                                                           
        0.66*10^ 1         X X XXXXXXXXXXXXXXX X XXXXX X  XXX                                                           
        0.60*10^ 1       XXX X XXXXXXXXXXXXXXX X XXXXX XX XXX   X       X                                               
        0.54*10^ 1     33XXX X3XXXXXXXXXXXXXXX X3XXXXX XX3XXX   X3 3   3X                                               
        0.48*10^ 1     XXXXX XXXXXXXXXXXXXXXXX XXXXXXX XXXXXX   XX X   XX                                               
        0.42*10^ 1     XXXXX XXXXXXXXXXXXXXXXX XXXXXXX7XXXXXX  7XX X   XX                                               
        0.36*10^ 1     XXXXX XXXXXXXXXXXXXXXXX XXXXXXXXXXXXXX  XXX X   XX                                               
        0.30*10^ 1     XXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  XXX X   XX    X        X                                 
        0.24*10^ 1     XXXXX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX33XXX3X333XX 3  X3 3  3  X3                                
        0.18*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X  XX X  X  XX                                
        0.12*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X 7XX X77X 7XX7 7 7  7  7      7      7   77  
        0.06*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXX XXXX XXXX X X  X  X      X      X   XX  

          Contents                                                                                                      
            *10^ 1  0000000000011000110101111101010010000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0005566828550778417094443231508957476599722465252225602013202112013210101001001000000100000010001100
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^ 0  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =         400    Mean =  2.8427e+02    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.9700e+02    Rms  =  1.6550e+02    Overflow  =  3.0000e+00    High edge =  1.0000e+03


  2013-09-20 16:08       p_RHadron / p_sparticle

        0.92*10^ 2                                                    8                                                 
        0.88*10^ 2                                                    X                                                 
        0.84*10^ 2                                                    X                                                 
        0.80*10^ 2                                                    X                                                 
        0.76*10^ 2                                                   XX                                                 
        0.72*10^ 2                                                   XX                                                 
        0.68*10^ 2                                                   XX                                                 
        0.64*10^ 2                                                   XXX                                                
        0.60*10^ 2                                                   XXX                                                
        0.56*10^ 2                                                  3XXX                                                
        0.52*10^ 2                                                  XXXX                                                
        0.48*10^ 2                                                  XXXX                                                
        0.44*10^ 2                                                  XXXX                                                
        0.40*10^ 2                                                  XXXX                                                
        0.36*10^ 2                                                  XXXX                                                
        0.32*10^ 2                                                  XXXX5                                               
        0.28*10^ 2                                                 2XXXXX                                               
        0.24*10^ 2                                                 XXXXXX                                               
        0.20*10^ 2                                                 XXXXXX                                               
        0.16*10^ 2                                                 XXXXXXX                                              
        0.12*10^ 2                                                5XXXXXXX                                              
        0.08*10^ 2                                               5XXXXXXXX7                                             
        0.04*10^ 2                     5       3 3           5883XXXXXXXXXX533353                           3           

          Contents                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000125796310000000000000000000000000000000000000000000000
            *10^ 0  0000000000000000000200000001010000000000023316053614067211121000000000000000000000000000100000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000000000000000000000000001111111111111111111111111111111111111111111111111111
            *10^-1  9999999999999999999999999999999999999999999999990000000000000000000000000000000000000000000000000011
            *10^-2  0001111122222333334444455555666667777788888999990000011111222223333344444555556666677777888889999900

   Entries  =         400    Mean =  9.9997e-01    Underflow =  0.0000e+00    Low edge  =  9.0000e-01
   All chan =  4.0000e+02    Rms  =  8.0573e-03    Overflow  =  0.0000e+00    High edge =  1.1000e+00


  2013-09-20 16:08       m(Rhadron) - m(sparticle)

        1.16*10^ 2                                 X                                                                    
        1.12*10^ 2                                 X                                                                    
        1.08*10^ 2                                 X                                                                    
        1.04*10^ 2                                 X                                                                    
        1.00*10^ 2                                 X                                                                    
        0.96*10^ 2                                 X                                                                    
        0.92*10^ 2                                 X                                                                    
        0.88*10^ 2                                 X                                                                    
        0.84*10^ 2                                 X                                                                    
        0.80*10^ 2                                 X                                                                    
        0.76*10^ 2                                 X                                                                    
        0.72*10^ 2                                 X                                                                    
        0.68*10^ 2                                 X                                                                    
        0.64*10^ 2                                 X                                                                    
        0.60*10^ 2                                 X                                                                    
        0.56*10^ 2                                 X                                                                    
        0.52*10^ 2                                 X X                                                                  
        0.48*10^ 2                                 X X    8                                                             
        0.44*10^ 2                                 X3X    X                                                             
        0.40*10^ 2                                 XXX    X                                                             
        0.36*10^ 2                                 XXX    X                                                             
        0.32*10^ 2                                 XXX    X                                                             
        0.28*10^ 2                                 XXX    X                                                             
        0.24*10^ 2                                 XXX 7  X                                                             
        0.20*10^ 2                                 XXXXX  X  7                                                          
        0.16*10^ 2                                 XXXXX  X  X                                                          
        0.12*10^ 2                                 XXXXX2 X 7X  2                                                       
        0.08*10^ 2                               2 XXXXXX5X7XX 2X                                                       
        0.04*10^ 2                        33 33 8X8XXXXXXXXXXX5XX335X335  35 3  3                                       

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000100000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000145220040110000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000000000000000110110353612039677192591124112001201001000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^-1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =         400    Mean =  1.7671e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.9900e+02    Rms  =  2.5528e-01    Overflow  =  1.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:08       R-hadron decay vertex (mm from origin)

        4.05*10^ 2  7                                                                                                   
        3.90*10^ 2  X                                                                                                   
        3.75*10^ 2  X                                                                                                   
        3.60*10^ 2  X                                                                                                   
        3.45*10^ 2  X                                                                                                   
        3.30*10^ 2  X                                                                                                   
        3.15*10^ 2  X                                                                                                   
        3.00*10^ 2  X                                                                                                   
        2.85*10^ 2  X                                                                                                   
        2.70*10^ 2  X                                                                                                   
        2.55*10^ 2  X                                                                                                   
        2.40*10^ 2  X                                                                                                   
        2.25*10^ 2  X                                                                                                   
        2.10*10^ 2  X                                                                                                   
        1.95*10^ 2  X                                                                                                   
        1.80*10^ 2  X                                                                                                   
        1.65*10^ 2  X                                                                                                   
        1.50*10^ 2  X                                                                                                   
        1.35*10^ 2  X                                                                                                   
        1.20*10^ 2  X                                                                                                   
        1.05*10^ 2  X                                                                                                   
        0.90*10^ 2  X                                                                                                   
        0.75*10^ 2  X                                                                                                   
        0.60*10^ 2  X                                                                                                   
        0.45*10^ 2  X                                                                                                   
        0.30*10^ 2  X                                                                                                   
        0.15*10^ 2  X                                                                                                   

          Contents                                                                                                      
            *10^ 2  4000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^ 0  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =         400    Mean =  5.0000e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  4.0000e+02    Rms  =  0.0000e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+03
pythia8-8.1.86.orig/examples/outref/out060000644000175000017500000026756612357054710016413 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:01:47    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide e- with e+ at a CM energy of 9.119e+01 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | f fbar -> gamma*/Z0                            221 |   4.350e-05 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 91.18760 |    14000.000    10.00000             | 
 | Beams:idA                                     |                       11 |         2212                         | 
 | Beams:idB                                     |                      -11 |         2212                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:lepton                                    |                      off |           on                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | WeakSingleBoson:ffbar2gmZ                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

      23  Z0                                  3   0   0   91.18760    2.50687   10.00000    0.00000  0.00000e+00   1   1   0   0   0
              0     1   0.1541199    0        1       -1 
              1     1   0.1195484    0        2       -2 
              2     1   0.1541093    0        3       -3 
              3     1   0.1193873    0        4       -4 
              4     1   0.1523969    0        5       -5 
              5     0   0.0335122    0       11      -11 
              6     0   0.0666593    0       12      -12 
              7     0   0.0335119    0       13      -13 
              8     0   0.0666593    0       14      -14 
              9     0   0.0334363    0       15      -15 
             10     0   0.0666593    0       16      -16 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =     11, pz =  4.559e+01, e =  4.559e+01, m =  5.110e-04.
 Beam B: id =    -11, pz = -4.559e+01, e =  4.559e+01, m =  5.110e-04.

 In 1: id =   11, x =  1.000e+00, pdf =  1.000e+00 at Q2 =  8.315e+03.
 In 2: id =  -11, x =  1.000e+00, pdf =  1.000e+00 at same Q2.

 Subprocess f fbar -> gamma*/Z0 with code 221 is 2 -> 1.
 It has sHat =  8.315e+03.
     alphaEM =  7.818e-03,  alphaS =  1.350e-01    at Q2 =  8.315e+03.

 Impact parameter b =  0.000e+00 gives enhancement factor =  1.000e+00.
 Max pT scale for MPI =  9.119e+01, ISR =  9.119e+01, FSR =  9.119e+01.
 Number of MPI =     1, ISR =     0, FSRproc =     0, FSRreson =    11.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000     91.188     91.188
     1        11   (e-)               -12     0     0     3     0     0     0      0.000      0.000     45.594     45.594      0.001
     2       -11   (e+)               -12     0     0     4     0     0     0      0.000      0.000    -45.594     45.594      0.001
     3        11   (e-)               -21     1     0     5     0     0     0      0.000      0.000     45.594     45.594      0.000
     4       -11   (e+)               -21     2     0     5     0     0     0      0.000      0.000    -45.594     45.594      0.000
     5        23   (Z0)               -22     3     4     6     7     0     0      0.000      0.000      0.000     91.188     91.188
     6         4   c                   23     5     0     0     0   101     0     -7.270    -38.218     23.730     45.594      1.500
     7        -4   cbar                23     5     0     0     0     0   101      7.270     38.218    -23.730     45.594      1.500
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000      0.000     91.188     91.188

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000     91.188     91.188
     1        11   (e-)               -12     0     0     3     0     0     0      0.000      0.000     45.594     45.594      0.001
     2       -11   (e+)               -12     0     0     4     0     0     0      0.000      0.000    -45.594     45.594      0.001
     3        11   (e-)               -21     1     0     5     0     0     0      0.000      0.000     45.594     45.594      0.000
     4       -11   (e+)               -21     2     0     5     0     0     0      0.000      0.000    -45.594     45.594      0.000
     5        23   (Z0)               -22     3     4     6     7     0     0      0.000      0.000      0.000     91.188     91.188
     6         4   (c)                -23     5     0    10    10   101     0     -7.270    -38.218     23.730     45.594      1.500
     7        -4   (cbar)             -23     5     0     8     9     0   101      7.270     38.218    -23.730     45.594      1.500
     8        -4   (cbar)             -51     7     0    11    12     0   103      2.515     35.231    -23.921     42.685      1.500
     9        21   (g)                -51     7     0    13    13   103   101      4.451      1.390      1.183      4.810      0.000
    10         4   (c)                -52     6     6    14    15   101     0     -6.966    -36.622     22.739     43.692      1.500
    11        -4   (cbar)             -51     8     0    48    48     0   105      0.242     19.486    -12.862     23.398      1.500
    12        21   (g)                -51     8     0    17    18   105   103      2.375     15.777    -11.032     19.397      0.000
    13        21   (g)                -52     9     9    16    16   103   101      4.349      1.359      1.156      4.701      0.000
    14         4   (c)                -51    10     0    40    40   106     0     -4.425    -27.750     17.958     33.382      1.500
    15        21   (g)                -51    10     0    25    25   101   106     -2.484     -8.854      4.796     10.371      0.000
    16        21   (g)                -52    13    13    19    19   103   101      4.292      1.341      1.141      4.639      0.000
    17        21   (g)                -51    12     0    20    21   105   107      2.121     13.919     -8.485     16.438      0.000
    18        21   (g)                -51    12     0    22    22   107   103      0.459      1.922     -2.492      3.181      0.000
    19        21   (g)                -52    16    16    23    24   103   101      4.087      1.277      1.086      4.417      0.000
    20        21   (g)                -51    17     0    26    27   105   108      2.038     12.366     -8.566     15.180      0.000
    21        21   (g)                -51    17     0    28    28   108   107      0.246      2.238     -0.808      2.392      0.000
    22        21   (g)                -52    18    18    42     0   107   103      0.296      1.237     -1.603      2.046      0.000
    23         1   (d)                -51    19     0    42     0   103     0      0.079      0.152     -0.317      0.488      0.330
    24        -1   (dbar)             -51    19     0    31    31     0   101      3.916      0.799      1.579      4.310      0.330
    25        21   (g)                -52    15    15    29    30   101   106     -2.392     -8.528      4.619      9.990      0.000
    26        21   (g)                -51    20     0    47    47   105   109      1.812      7.502     -5.091      9.246      0.000
    27        21   (g)                -51    20     0    41     0   109   108      0.381      6.266     -3.981      7.433      0.000
    28        21   (g)                -52    21    21    41     0   108   107      0.092      0.836     -0.302      0.894      0.000
    29        21   (g)                -51    25     0    35    36   111   106     -1.126     -4.462      2.990      5.488      0.000
    30        21   (g)                -51    25     0    32    33   101   111     -1.225     -4.058      1.646      4.547      0.000
    31        -1   (dbar)             -52    24    24    34    34     0   101      3.875      0.791      1.563      4.265      0.330
    32        21   (g)                -51    30     0    37    37   112   111     -0.620     -3.733      1.285      3.996      0.000
    33        21   (g)                -51    30     0    58    58   101   112     -0.473     -0.298      0.414      0.696      0.000
    34        -1   (dbar)             -52    31    31    59    59     0   101      3.743      0.763      1.510      4.121      0.330
    35        21   (g)                -51    29     0    38    39   113   106      0.029      0.018     -0.005      0.034      0.000
    36        21   (g)                -51    29     0    56    56   111   113     -1.541     -6.804      3.794      7.941      0.000
    37        21   (g)                -52    32    32    57    57   112   111     -0.234     -1.409      0.485      1.508      0.000
    38        21   (g)                -51    35     0    44     0   113   116     -0.458     -5.058      3.082      5.941      0.000
    39        21   (g)                -51    35     0    43     0   116   106     -0.553     -1.396      1.100      1.861      0.000
    40         4   (c)                -52    14    14    43     0   106     0     -3.384    -21.278     13.772     25.614      1.500
    41        21   (g)                -73    27    28    46    46   109   107      0.473      7.102     -4.283      8.327      0.579
    42         1   (d)                -73    22    23    45    45   107     0      0.374      1.388     -1.920      2.534      0.819
    43         4   (c)                -73    39    40    44     0   116     0     -3.938    -22.674     14.871     27.476      2.039
    44         4   (c)                -73    38    43    55    55   113     0     -4.396    -27.732     17.953     33.416      2.443
    45         1   (d)                -71    42    42    49    54   107     0      0.374      1.388     -1.920      2.534      0.819
    46        21   (g)                -71    41    41    49    54   109   107      0.473      7.102     -4.283      8.327      0.579
    47        21   (g)                -71    26    26    49    54   105   109      1.812      7.502     -5.091      9.246      0.000
    48        -4   (cbar)             -71    11    11    49    54     0   105      0.242     19.486    -12.862     23.398      1.500
    49       111   (pi0)              -83    45    48    73    74     0     0      0.467      0.873     -0.553      1.142      0.135
    50       223   (omega)            -83    45    48    75    77     0     0      0.279      3.286     -2.683      4.323      0.784
    51       113   (rho0)             -83    45    48    67    68     0     0      0.163      1.520     -1.472      2.261      0.781
    52      -211   pi-                 84    45    48     0     0     0     0      0.538      5.364     -3.349      6.348      0.140
    53       321   K+                  84    45    48     0     0     0     0      0.589      6.097     -4.418      7.568      0.494
    54      -433   (D*_s-)            -84    45    48    78    79     0     0      0.864     18.339    -11.681     21.862      2.112
    55         4   (c)                -71    44    44    60    66   113     0     -4.396    -27.732     17.953     33.416      2.443
    56        21   (g)                -71    36    36    60    66   111   113     -1.541     -6.804      3.794      7.941      0.000
    57        21   (g)                -71    37    37    60    66   112   111     -0.234     -1.409      0.485      1.508      0.000
    58        21   (g)                -71    33    33    60    66   101   112     -0.473     -0.298      0.414      0.696      0.000
    59        -1   (dbar)             -71    34    34    60    66     0   101      3.743      0.763      1.510      4.121      0.330
    60       433   (D*_s+)            -83    55    59    80    81     0     0     -4.365    -25.108     15.669     29.991      2.112
    61      -321   K-                  83    55    59     0     0     0     0     -0.057     -4.172      2.561      4.921      0.494
    62       211   pi+                 83    55    59     0     0     0     0     -1.590     -5.755      3.637      6.993      0.140
    63       113   (rho0)             -84    55    59    69    70     0     0     -0.099     -0.410      0.291      0.855      0.684
    64       223   (omega)            -84    55    59    82    84     0     0      0.542      0.065      0.855      1.288      0.795
    65      -211   pi-                 84    55    59     0     0     0     0      1.390     -0.801      0.056      1.611      0.140
    66       213   (rho+)             -84    55    59    71    72     0     0      1.277      0.702      1.086      2.023      0.888
    67       211   pi+                 91    51     0     0     0     0     0      0.078      0.040     -0.382      0.416      0.140
    68      -211   pi-                 91    51     0     0     0     0     0      0.085      1.480     -1.089      1.845      0.140
    69       211   pi+                 91    63     0     0     0     0     0     -0.233     -0.003     -0.066      0.280      0.140
    70      -211   pi-                 91    63     0     0     0     0     0      0.134     -0.407      0.358      0.575      0.140
    71       211   pi+                 91    66     0     0     0     0     0      1.284      0.732      1.143      1.874      0.140
    72       111   (pi0)              -91    66     0    85    86     0     0     -0.007     -0.030     -0.057      0.150      0.135
    73        22   gamma               91    49     0     0     0     0     0      0.331      0.704     -0.476      0.911      0.000
    74        22   gamma               91    49     0     0     0     0     0      0.136      0.170     -0.078      0.231      0.000
    75       211   pi+                 91    50     0     0     0     0     0     -0.024      1.306     -1.039      1.675      0.140
    76      -211   pi-                 91    50     0     0     0     0     0      0.396      1.696     -1.354      2.210      0.140
    77       111   (pi0)              -91    50     0    87    88     0     0     -0.093      0.284     -0.291      0.438      0.135
    78      -431   (D_s-)             -91    54     0    89    90     0     0      0.759     17.340    -11.188     20.744      1.968
    79        22   gamma               91    54     0     0     0     0     0      0.105      0.999     -0.493      1.119      0.000
    80       431   (D_s+)             -91    60     0    91    92     0     0     -4.128    -24.034     14.849     28.619      1.968
    81        22   gamma               91    60     0     0     0     0     0     -0.236     -1.074      0.820      1.372      0.000
    82       211   pi+                 91    64     0     0     0     0     0      0.182     -0.113      0.281      0.380      0.140
    83      -211   pi-                 91    64     0     0     0     0     0     -0.037     -0.103      0.058      0.187      0.140
    84       111   (pi0)              -91    64     0    93    94     0     0      0.397      0.281      0.516      0.722      0.135
    85        22   gamma               91    72     0     0     0     0     0      0.017     -0.040      0.034      0.055      0.000
    86        22   gamma               91    72     0     0     0     0     0     -0.023      0.010     -0.091      0.095      0.000
    87        22   gamma               91    77     0     0     0     0     0     -0.068      0.055     -0.035      0.094      0.000
    88        22   gamma               91    77     0     0     0     0     0     -0.025      0.229     -0.255      0.344      0.000
    89       333   (phi)              -91    78     0    95    96     0     0      0.948     13.421     -8.611     16.007      1.021
    90      -213   (rho-)             -91    78     0    97    98     0     0     -0.189      3.919     -2.577      4.737      0.635
    91       -15   (tau+)             -91    80     0    99   101     0     0     -4.032    -22.771     13.946     27.064      1.777
    92        16   nu_tau              91    80     0     0     0     0     0     -0.096     -1.262      0.903      1.555      0.000
    93        22   gamma               91    84     0     0     0     0     0      0.176      0.203      0.305      0.407      0.000
    94        22   gamma               91    84     0     0     0     0     0      0.221      0.078      0.211      0.315      0.000
    95       130   K_L0                91    89     0     0     0     0     0      0.351      6.501     -4.134      7.728      0.498
    96       310   (K_S0)             -91    89     0   102   103     0     0      0.598      6.920     -4.477      8.278      0.498
    97      -211   pi-                 91    90     0     0     0     0     0     -0.281      1.284     -1.042      1.683      0.140
    98       111   (pi0)              -91    90     0   104   105     0     0      0.092      2.635     -1.536      3.054      0.135
    99       -16   nu_taubar           91    91     0     0     0     0     0      0.100     -0.434      0.408      0.604      0.000
   100       111   (pi0)              -91    91     0   106   107     0     0     -0.191     -2.298      1.427      2.715      0.135
   101       211   pi+                 91    91     0     0     0     0     0     -3.941    -20.039     12.111     23.745      0.140
   102       211   pi+                 91    96     0     0     0     0     0      0.003      0.728     -0.499      0.894      0.140
   103      -211   pi-                 91    96     0     0     0     0     0      0.594      6.191     -3.978      7.384      0.140
   104        22   gamma               91    98     0     0     0     0     0      0.003      1.651     -1.002      1.931      0.000
   105        22   gamma               91    98     0     0     0     0     0      0.089      0.983     -0.534      1.122      0.000
   106        22   gamma               91   100     0     0     0     0     0     -0.209     -2.108      1.293      2.482      0.000
   107        22   gamma               91   100     0     0     0     0     0      0.019     -0.190      0.134      0.233      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000     -0.000     91.188     91.188

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Sphericity Listing  -------- 

  no     lambda      e_x       e_y       e_z 
   1    0.98903    0.13845   0.84116  -0.52277
   2    0.00862   -0.91349  -0.09545  -0.39551
   3    0.00235    0.38259  -0.53230  -0.75517

 --------  End PYTHIA Sphericity Listing  ----

 --------  PYTHIA Sphericity Listing  -------- 
      Nonstandard momentum power =  1.000

  no     lambda      e_x       e_y       e_z 
   1    0.93601    0.09874   0.83519  -0.54102
   2    0.04749   -0.86684  -0.19482  -0.45895
   3    0.01650    0.48871  -0.51429  -0.70474

 --------  End PYTHIA Sphericity Listing  ----

 --------  PYTHIA Thrust Listing  ------------ 

          value      e_x       e_y       e_z 
 Thr    0.94950    0.09744   0.84420  -0.52709
 Maj    0.11287    0.92660   0.11632   0.35760
 Min    0.05898    0.36319  -0.52325  -0.77091

 --------  End PYTHIA Thrust Listing  --------

 --------  PYTHIA ClusterJet Listing,   Lund pT =  8.900 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    14     -2.648    -33.789     23.003     45.149     18.988
   1    19      2.644     35.485    -24.314     43.880      8.250

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA ClusterJet Listing,    JADE m =  8.900 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    15      2.891     35.384    -23.739     42.995      4.967
   1     6     -6.071    -33.252     20.481     39.698      3.737
   2    12      3.177     -0.435      1.947      6.335      5.105

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA ClusterJet Listing, Durham kT =  8.900 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    14     -2.648    -33.789     23.003     45.149     18.988
   1    19      2.644     35.485    -24.314     43.880      8.250

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA Sphericity Listing  -------- 

  no     lambda      e_x       e_y       e_z 
   1    0.98689    0.04610   0.95166  -0.30367
   2    0.00797   -0.60161  -0.21623  -0.76897
   3    0.00514    0.79746  -0.21815  -0.56256

 --------  End PYTHIA Sphericity Listing  ----

 --------  PYTHIA Sphericity Listing  -------- 
      Nonstandard momentum power =  1.000

  no     lambda      e_x       e_y       e_z 
   1    0.93790    0.01419   0.95978  -0.28038
   2    0.03743   -0.92334  -0.09503  -0.37203
   3    0.02467    0.38371  -0.26417  -0.88486

 --------  End PYTHIA Sphericity Listing  ----

 --------  PYTHIA Thrust Listing  ------------ 

          value      e_x       e_y       e_z 
 Thr    0.96280    0.00057  -0.96019   0.27933
 Maj    0.11698   -0.99948   0.00848   0.03118
 Min    0.10110   -0.03231  -0.27921  -0.95969

 --------  End PYTHIA Thrust Listing  --------

 --------  PYTHIA ClusterJet Listing,   Lund pT =  9.119 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    20     -0.096     41.836    -12.218     45.689     13.710
   1    17      0.096    -41.836     12.218     45.499     13.062

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA ClusterJet Listing,    JADE m =  9.119 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    17      1.052     38.268    -13.295     41.295      7.932
   1    10     -2.608    -38.540      9.260     39.878      3.519
   2    10      1.557      0.271      4.035     10.015      9.029

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA ClusterJet Listing, Durham kT =  9.119 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    20     -0.096     41.836    -12.218     45.689     13.710
   1    17      0.096    -41.836     12.218     45.499     13.062

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA Sphericity Listing  -------- 

  no     lambda      e_x       e_y       e_z 
   1    0.99048   -0.13619   0.87594  -0.46279
   2    0.00805   -0.17813  -0.48118  -0.85833
   3    0.00146    0.97454   0.03446  -0.22157

 --------  End PYTHIA Sphericity Listing  ----

 --------  PYTHIA Sphericity Listing  -------- 
      Nonstandard momentum power =  1.000

  no     lambda      e_x       e_y       e_z 
   1    0.94946   -0.14752   0.87183  -0.46706
   2    0.04051   -0.14698  -0.48631  -0.86134
   3    0.01003    0.97808   0.05842  -0.19989

 --------  End PYTHIA Sphericity Listing  ----

 --------  PYTHIA Thrust Listing  ------------ 

          value      e_x       e_y       e_z 
 Thr    0.97063   -0.15123   0.86516  -0.47815
 Maj    0.11091    0.30667   0.50091   0.80935
 Min    0.06005    0.93972  -0.02424  -0.34107

 --------  End PYTHIA Thrust Listing  --------

 --------  PYTHIA ClusterJet Listing,   Lund pT =  9.119 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    28     -6.653     38.061    -21.035     46.804     15.978
   1     9      6.653    -38.061     21.035     44.383      5.876

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA ClusterJet Listing,    JADE m =  9.119 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0     8      6.563    -38.126     20.673     43.979      3.189
   1    22     -5.048     35.837    -16.144     40.160      6.511
   2     7     -1.515      2.289     -4.529      7.049      4.652

 --------  End PYTHIA ClusterJet Listing  -----------------------

 --------  PYTHIA ClusterJet Listing, Durham kT =  9.119 GeV  --- 
 
  no  mult      p_x        p_y        p_z         e          m 
   0    28     -6.653     38.061    -21.035     46.804     15.978
   1     9      6.653    -38.061     21.035     44.383      5.876

 --------  End PYTHIA ClusterJet Listing  -----------------------

 Pythia::next(): 1000 events have been generated 

 Pythia::next(): 2000 events have been generated 
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  

 Pythia::next(): 3000 events have been generated 

 Pythia::next(): 4000 events have been generated 

 Pythia::next(): 5000 events have been generated 

 Pythia::next(): 6000 events have been generated 

 Pythia::next(): 7000 events have been generated 

 Pythia::next(): 8000 events have been generated 

 Pythia::next(): 9000 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | f fbar -> gamma*/Z0                            221 |       10505      10000      10000 |   4.143e-05  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |       10505      10000      10000 |   4.143e-05  0.000e+00 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:02       charged multiplicity

        1.30*10^ 3                  1   3                                                                               
        1.25*10^ 3                  X 6 X                                                                               
        1.20*10^ 3                  X X X                                                                               
        1.15*10^ 3                  X X X 6                                                                             
        1.10*10^ 3                  X X X X                                                                             
        1.05*10^ 3                  X X X X                                                                             
        1.00*10^ 3                3 X X X X                                                                             
        0.95*10^ 3                X X X X X 6                                                                           
        0.90*10^ 3                X X X X X X                                                                           
        0.85*10^ 3                X X X X X X                                                                           
        0.80*10^ 3                X X X X X X 1                                                                         
        0.75*10^ 3                X X X X X X X                                                                         
        0.70*10^ 3                X X X X X X X                                                                         
        0.65*10^ 3              1 X X X X X X X                                                                         
        0.60*10^ 3              X X X X X X X X                                                                         
        0.55*10^ 3              X X X X X X X X                                                                         
        0.50*10^ 3              X X X X X X X X 7                                                                       
        0.45*10^ 3              X X X X X X X X X                                                                       
        0.40*10^ 3              X X X X X X X X X 7                                                                     
        0.35*10^ 3              X X X X X X X X X X                                                                     
        0.30*10^ 3            7 X X X X X X X X X X                                                                     
        0.25*10^ 3            X X X X X X X X X X X 5                                                                   
        0.20*10^ 3            X X X X X X X X X X X X 1                                                                 
        0.15*10^ 3            X X X X X X X X X X X X X                                                                 
        0.10*10^ 3          6 X X X X X X X X X X X X X X                                                               
        0.05*10^ 3        5 X X X X X X X X X X X X X X X X 8 4 3 1 1                                                   

          Contents                                                                                                      
            *10^ 3  0000000000000000101010100000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000206090202020109070403020101000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000002070800060503060202050808020500050301010000000000000000000000000000000000000000000000000000000
            *10^ 0  0000107080603060602040909040307040300020808030403000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =       10000    Mean =  2.0496e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  6.3135e+00    Overflow  =  0.0000e+00    High edge =  9.9500e+01


  2013-09-20 16:02       Sphericity

        2.00*10^ 3   8                                                                                                  
        1.92*10^ 3   X                                                                                                  
        1.84*10^ 3   X                                                                                                  
        1.76*10^ 3   X                                                                                                  
        1.68*10^ 3  XX                                                                                                  
        1.60*10^ 3  XX                                                                                                  
        1.52*10^ 3  XX                                                                                                  
        1.44*10^ 3  XX                                                                                                  
        1.36*10^ 3  XX                                                                                                  
        1.28*10^ 3  XX8                                                                                                 
        1.20*10^ 3  XXX                                                                                                 
        1.12*10^ 3  XXX                                                                                                 
        1.04*10^ 3  XXX                                                                                                 
        0.96*10^ 3  XXX                                                                                                 
        0.88*10^ 3  XXX9                                                                                                
        0.80*10^ 3  XXXX                                                                                                
        0.72*10^ 3  XXXX                                                                                                
        0.64*10^ 3  XXXX4                                                                                               
        0.56*10^ 3  XXXXX                                                                                               
        0.48*10^ 3  XXXXX8                                                                                              
        0.40*10^ 3  XXXXXX6                                                                                             
        0.32*10^ 3  XXXXXXX91                                                                                           
        0.24*10^ 3  XXXXXXXXX71                                                                                         
        0.16*10^ 3  XXXXXXXXXXXXX42  1                                                                                  
        0.08*10^ 3  XXXXXXXXXXXXXXXX9XX778686655453433323231122221112 11111111111111      11                            

          Contents                                                                                                      
            *10^ 3  1110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  6928543322111100000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  7866966151655198788556564433332322212121111111011000000001000000000000000000000000000000000000000000
            *10^ 0  7059185106967053440874008986473084332812059550904299957780497785332333742010000010000000000000000000

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10000    Mean =  7.1445e-02    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+04    Rms  =  1.0470e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       Linearity

        7.25*10^ 2       9                                                                                              
        7.00*10^ 2       X6                                                                                             
        6.75*10^ 2      8XX                                                                                             
        6.50*10^ 2      XXXX                                                                                            
        6.25*10^ 2      XXXX                                                                                            
        6.00*10^ 2      XXXXX                                                                                           
        5.75*10^ 2      XXXXX                                                                                           
        5.50*10^ 2      XXXXX                                                                                           
        5.25*10^ 2      XXXXX                                                                                           
        5.00*10^ 2     6XXXXX                                                                                           
        4.75*10^ 2     XXXXXX4                                                                                          
        4.50*10^ 2     XXXXXXX4                                                                                         
        4.25*10^ 2     XXXXXXXX5                                                                                        
        4.00*10^ 2     XXXXXXXXX                                                                                        
        3.75*10^ 2     XXXXXXXXX6                                                                                       
        3.50*10^ 2     XXXXXXXXXX5                                                                                      
        3.25*10^ 2     XXXXXXXXXXX                                                                                      
        3.00*10^ 2     XXXXXXXXXXX1                                                                                     
        2.75*10^ 2     XXXXXXXXXXXX                                                                                     
        2.50*10^ 2     XXXXXXXXXXXX771                                                                                  
        2.25*10^ 2     XXXXXXXXXXXXXXX                                                                                  
        2.00*10^ 2    9XXXXXXXXXXXXXXXX74                                                                               
        1.75*10^ 2    XXXXXXXXXXXXXXXXXXX6                                                                              
        1.50*10^ 2    XXXXXXXXXXXXXXXXXXXX667                                                                           
        1.25*10^ 2    XXXXXXXXXXXXXXXXXXXXXXX 2                                                                         
        1.00*10^ 2    XXXXXXXXXXXXXXXXXXXXXXX8X4442 12                                                                  
        0.75*10^ 2    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5561 3                                                            
        0.50*10^ 2   4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XX53485    1                                                 
        0.25*10^ 2  2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7576988654665333522432221212                     

          Contents                                                                                                      
            *10^ 2  0014676664443322221111111010000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0399729405316374429986434908888778666545533343222221111212111111000100000000000000000000000000000000
            *10^ 0  4481121919426772379256192544561571226237183558664578374290431642877365986552534111001000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10000    Mean =  1.5704e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+04    Rms  =  1.3255e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       thrust

        8.40*10^ 2                                                                                                15    
        8.10*10^ 2                                                                                                XX    
        7.80*10^ 2                                                                                                XX    
        7.50*10^ 2                                                                                               6XX6   
        7.20*10^ 2                                                                                               XXXX   
        6.90*10^ 2                                                                                               XXXX   
        6.60*10^ 2                                                                                              1XXXX   
        6.30*10^ 2                                                                                              XXXXX   
        6.00*10^ 2                                                                                              XXXXX   
        5.70*10^ 2                                                                                              XXXXX   
        5.40*10^ 2                                                                                              XXXXX   
        5.10*10^ 2                                                                                            47XXXXX   
        4.80*10^ 2                                                                                            XXXXXXX3  
        4.50*10^ 2                                                                                            XXXXXXXX  
        4.20*10^ 2                                                                                           7XXXXXXXX  
        3.90*10^ 2                                                                                          7XXXXXXXXX  
        3.60*10^ 2                                                                                          XXXXXXXXXX  
        3.30*10^ 2                                                                                          XXXXXXXXXX  
        3.00*10^ 2                                                                                        9XXXXXXXXXXX  
        2.70*10^ 2                                                                                       6XXXXXXXXXXXX  
        2.40*10^ 2                                                                                     17XXXXXXXXXXXXX  
        2.10*10^ 2                                                                                  3 8XXXXXXXXXXXXXXX  
        1.80*10^ 2                                                                                  X2XXXXXXXXXXXXXXXX  
        1.50*10^ 2                                                                               267XXXXXXXXXXXXXXXXXX4 
        1.20*10^ 2                                                                           3 8 XXXXXXXXXXXXXXXXXXXXXX 
        0.90*10^ 2                                                                  11 2 6664XXX7XXXXXXXXXXXXXXXXXXXXXX 
        0.60*10^ 2                                                          11 43332XX6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 
        0.30*10^ 2                          1 111122311241224337446554875694XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000000000000000000000000000000000000001011111222223344567887410
            *10^ 1  0000000000000000000000000000000010001000101211111122112133343343664667777981823485013590819033123531
            *10^ 0  0000000000000000000000102123345504461467390033744251586333018906329708993995267186541881001029468810
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-1  5555555555555555555566666666666666666666777777777777777777778888888888888888888899999999999999999999
            *10^-2  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-3  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =       10000    Mean =  9.3244e-01    Underflow =  0.0000e+00    Low edge  =  5.0000e-01
   All chan =  1.0000e+04    Rms  =  5.9866e-02    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       oblateness

        1.30*10^ 3   22                                                                                                 
        1.25*10^ 3   XX                                                                                                 
        1.20*10^ 3   XX                                                                                                 
        1.15*10^ 3   XX                                                                                                 
        1.10*10^ 3   XX4                                                                                                
        1.05*10^ 3   XXX                                                                                                
        1.00*10^ 3   XXX                                                                                                
        0.95*10^ 3   XXX                                                                                                
        0.90*10^ 3   XXX                                                                                                
        0.85*10^ 3   XXXX                                                                                               
        0.80*10^ 3   XXXX                                                                                               
        0.75*10^ 3   XXXX                                                                                               
        0.70*10^ 3   XXXX                                                                                               
        0.65*10^ 3  9XXXX                                                                                               
        0.60*10^ 3  XXXXX7                                                                                              
        0.55*10^ 3  XXXXXX8                                                                                             
        0.50*10^ 3  XXXXXXX5                                                                                            
        0.45*10^ 3  XXXXXXXX                                                                                            
        0.40*10^ 3  XXXXXXXX                                                                                            
        0.35*10^ 3  XXXXXXXX86                                                                                          
        0.30*10^ 3  XXXXXXXXXX1                                                                                         
        0.25*10^ 3  XXXXXXXXXXX77                                                                                       
        0.20*10^ 3  XXXXXXXXXXXXXXX2                                                                                    
        0.15*10^ 3  XXXXXXXXXXXXXXXX8521                                                                                
        0.10*10^ 3  XXXXXXXXXXXXXXXXXXXX836414                                                                          
        0.05*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXX8X98636345222331111 11                                                   

          Contents                                                                                                      
            *10^ 3  0111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  6220855433222121111100000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  4556584742533906320086765753544313122111110000000000000000000000000000000000000000000000000000000000
            *10^ 0  4998171729575912838786997029131142613110534353144101000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10000    Mean =  7.8683e-02    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+04    Rms  =  7.9085e-02    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       cos(theta_Sphericity)

        1.52*10^ 2   X                                                                                                  
        1.48*10^ 2   X                                                                                           5      
        1.44*10^ 2  2X                                                                                           X   X  
        1.40*10^ 2  XX                                                                                           X   X  
        1.36*10^ 2  XX 5 X 7    2                                                                                X   X  
        1.32*10^ 2  XX5X7X X    X                                                                               7X  XX  
        1.28*10^ 2  XXXXXXXX    XX                                                                              XX2XXX57
        1.24*10^ 2  XXXXXXXX  X XX                                                                   3     58   XXXXXXXX
        1.20*10^ 2  XXXXXXXX  X XX                                                                   X   X5XX5X XXXXXXXX
        1.16*10^ 2  XXXXXXXX58X8XX           X                                                       X   XXXXXX XXXXXXXX
        1.12*10^ 2  XXXXXXXXXXXXXX5 5  3     X                                                       X   XXXXXX XXXXXXXX
        1.08*10^ 2  XXXXXXXXXXXXXXX5X3XX     X                                              X    X3  X8  XXXXXXXXXXXXXXX
        1.04*10^ 2  XXXXXXXXXXXXXXXXXXXX     X                                              X    XX  XX 8XXXXXXXXXXXXXXX
        1.00*10^ 2  XXXXXXXXXXXXXXXXXXXX 3 X X    X3          8                         X   X    XX  XX XXXXXXXXXXXXXXXX
        0.96*10^ 2  XXXXXXXXXXXXXXXXXXXX8X X X 353XX          X                8        XX3 X   5XX 3XX XXXXXXXXXXXXXXXX
        0.92*10^ 2  XXXXXXXXXXXXXXXXXXXXXX8X X XXXXX   5X     X        3       X 5X  3 3XXX X 8 XXX XXX3XXXXXXXXXXXXXXXX
        0.88*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXX3X5XXXXX83 XX     X        X X     X XX XX XXXX X X XXX5XXXXXXXXXXXXXXXXXXXX
        0.84*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX  5 3X X      X X     X XX XX8XXXX X X XXXXXXXXXXXXXXXXXXXXXXXX
        0.80*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8XX8 X8XX X    5 X X    3X XX XXXXXXX8X3X5XXXXXXXXXXXXXXXXXXXXXXXX
        0.76*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5XXXX X3  3X XXX   3XXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.72*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX8 XX XXX8 3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.68*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX3XXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.64*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.60*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.56*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 2  1111111111111111111100010100001000000000000000000000000000000000000010001000011001101111111111111111
            *10^ 1  4533332311213210100099908189990988799778789687767768787567797997888809970797900892080212212034223422
            *10^ 0  1204168545453806058957105663430775902942919143153889681693756022893906398718485631793082380816582467
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean = -6.5860e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+00
   All chan =  1.0000e+04    Rms  =  6.2599e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       cos(theta_Linearity)

       15.00*10^ 1      3                                                                                               
       14.70*10^ 1      X                                                                                               
       14.40*10^ 1  7   X                                                                                       3    X  
       14.10*10^ 1  X7  X3                                                                                      X    X  
       13.80*10^ 1  XX3 XX                                                                                      X   3X 3
       13.50*10^ 1  XXX XX 3                                                                                    X   XX X
       13.20*10^ 1  XXXXXX X                                                                                  X X   XX X
       12.90*10^ 1  XXXXXXXX   73                                                                             X X X XX X
       12.60*10^ 1  XXXXXXXX   XX                                                                             X X X XXXX
       12.30*10^ 1  XXXXXXXX   XX                                                                             X X7X XXXX
       12.00*10^ 1  XXXXXXXX   XX                                                                             XXXXX XXXX
       11.70*10^ 1  XXXXXXXXX3 XX 3 3       3                                                             3XX XXXXX7XXXX
       11.40*10^ 1  XXXXXXXXXX XX7XXX       X                                                           3XXXX XXXXXXXXXX
       11.10*10^ 1  XXXXXXXXXX7XXXXXX       X                                                           XXXXX XXXXXXXXXX
       10.80*10^ 1  XXXXXXXXXXXXXXXXX  3    X       7                                                   XXXXX XXXXXXXXXX
       10.50*10^ 1  XXXXXXXXXXXXXXXXX77X    X       X                              7                    XXXXX XXXXXXXXXX
       10.20*10^ 1  XXXXXXXXXXXXXXXXXXXX  7 X       X                              X             3X X3X XXXXXXXXXXXXXXXX
        9.90*10^ 1  XXXXXXXXXXXXXXXXXXXX  X X3      X                              X            XXX3XXX XXXXXXXXXXXXXXXX
        9.60*10^ 1  XXXXXXXXXXXXXXXXXXXX  X7XX 3    X                              X         3 XXXXXXXX XXXXXXXXXXXXXXXX
        9.30*10^ 1  XXXXXXXXXXXXXXXXXXXX XXXXX X7 3 X                   X          X  3X     X XXXXXXXXXXXXXXXXXXXXXXXXX
        9.00*10^ 1  XXXXXXXXXXXXXXXXXXXX XXXXX3XX7X X        7X       73X     3X  7X 7XXX X 3X XXXXXXXXXXXXXXXXXXXXXXXXX
        8.70*10^ 1  XXXXXXXXXXXXXXXXXXXX XXXXXXXXXX X3  7    XX       XXX     XX 3XX3XXXX7X XXXXXXXXXXXXXXXXXXXXXXXXXXXX
        8.40*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX37X3   XX       XXX     XX XXXXXXXXXX7XXXXXXXXXXXXXXXXXXXXXXXXXXXX
        8.10*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX       XXX     XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        7.80*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX    3  XXX3 X  XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        7.50*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX 377X  XXXX X  XX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        7.20*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXX XXXX XXXXX X 3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        6.90*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XXXX XXXXX X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        6.60*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXXXX X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        6.30*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        6.00*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 2  1111111111111111111100101000000010000000000000000000000000000001000000000000011011101111111111111111
            *10^ 1  4433432311122111100089091989989808888877789677776788975767897880889998988989900900091111103242213423
            *10^ 0  3062899375087354544643155784291475236220290834464298368820803594591306038476902720232457722022966466
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean = -6.6080e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+00
   All chan =  1.0000e+04    Rms  =  6.2579e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       cos(theta_Thrust)

        1.56*10^ 2                                                                                                  7   
        1.52*10^ 2                                                                                               7  X   
        1.48*10^ 2                                                                                               X  X   
        1.44*10^ 2  2                                                                                            X  X   
        1.40*10^ 2  X2         5                                                                                 X  XX  
        1.36*10^ 2  XX2 7      X                                                                                 X  XX27
        1.32*10^ 2  XXX5X      X                                                                           57 5 5X  XXXX
        1.28*10^ 2  XXXXX2     X                                                                           XX X5XXX5XXXX
        1.24*10^ 2  XXXXXX  X3 X 8X                                                                   3 8  XX XXXXXXXXXX
        1.20*10^ 2  XXXXXX8 XX X XX                                                                   X X  XX XXXXXXXXXX
        1.16*10^ 2  XXXXXXXXXX5X XX                                                                   X3X  XX XXXXXXXXXX
        1.12*10^ 2  XXXXXXXXXXXX XX                    3                                            33XXX  XX XXXXXXXXXX
        1.08*10^ 2  XXXXXXXXXXXX XX          X         X                                    5     3 XXXXX 5XX XXXXXXXXXX
        1.04*10^ 2  XXXXXXXXXXXX XX 3    X   X         X                           3   3    X   8 X XXXXX3XXX XXXXXXXXXX
        1.00*10^ 2  XXXXXXXXXXXX XX X    X  5X  X   X  X                           X   X 8  X  8X X XXXXXXXXXXXXXXXXXXXX
        0.96*10^ 2  XXXXXXXXXXXX XXXX5X8 X8 XX  X   X  X                       5   X   X X  X 8XX8X5XXXXXXXXXXXXXXXXXXXX
        0.92*10^ 2  XXXXXXXXXXXX3XXXXXXX XX XX8 X5  X5 X8  X    3      3       X  5X   X X8 X8XXXXXXXXXXXXXXXXXXXXXXXXXX
        0.88*10^ 2  XXXXXXXXXXXXXXXXXXXXXXX XXX XX3 XX XX  X    X     XX      5X 3XX  8X XX5XXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.84*10^ 2  XXXXXXXXXXXXXXXXXXXXXXX XXX XXX XX5XX  X  3 X     XX  8   XX XXX XXX8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.80*10^ 2  XXXXXXXXXXXXXXXXXXXXXXX3XXX XXX XXXXX  X 5X X  853XX3 X X XX XXX8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.76*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XXXXX  X XX X  XXXXXX X X XX8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.72*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX5XXXXX  XXXX X  XXXXXX X X8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.68*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX38XXXX3X  XXXXXX X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.64*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX8XXXXXXXXXXXXXXXXX58XXXXXX8X8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 2  1111111111110110100001000100100010010000000000000000000000000001000100001000101011111111111111111111
            *10^ 1  4333321122138229099980979096098709809669778686677788768687897890788089980999090900212003303235225433
            *10^ 0  1730559641489346146584578813005000291572281592398789733301645501947139166159355499133160100601865035
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean =  1.5196e-02    Underflow =  0.0000e+00    Low edge  = -1.0000e+00
   All chan =  1.0000e+04    Rms  =  6.2560e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:02       Lund jet multiplicity

        8.10*10^ 3    4                                     
        7.80*10^ 3    X                                     
        7.50*10^ 3    X                                     
        7.20*10^ 3    X                                     
        6.90*10^ 3    X                                     
        6.60*10^ 3    X                                     
        6.30*10^ 3    X                                     
        6.00*10^ 3    X                                     
        5.70*10^ 3    X                                     
        5.40*10^ 3    X                                     
        5.10*10^ 3    X                                     
        4.80*10^ 3    X                                     
        4.50*10^ 3    X                                     
        4.20*10^ 3    X                                     
        3.90*10^ 3    X                                     
        3.60*10^ 3    X                                     
        3.30*10^ 3    X                                     
        3.00*10^ 3    X                                     
        2.70*10^ 3    X                                     
        2.40*10^ 3    X                                     
        2.10*10^ 3    X8                                    
        1.80*10^ 3    XX                                    
        1.50*10^ 3    XX                                    
        1.20*10^ 3    XX                                    
        0.90*10^ 3    XX                                    
        0.60*10^ 3    XX                                    
        0.30*10^ 3    XX2                                   

          Contents                                          
            *10^ 3  0072000000000000000000000000000000000000
            *10^ 2  0090000000000000000000000000000000000000
            *10^ 1  0002600000000000000000000000000000000000
            *10^ 0  0087500000000000000000000000000000000000

          Low edge  -                                       
            *10^ 1  0000000000011111111112222222222333333333
            *10^ 0  0012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555

   Entries  =       10000    Mean =  2.2157e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  4.2682e-01    Overflow  =  0.0000e+00    High edge =  3.9500e+01


  2013-09-20 16:02       Jade jet multiplicity

        5.20*10^ 3     6                                    
        5.00*10^ 3     X                                    
        4.80*10^ 3     X                                    
        4.60*10^ 3     X                                    
        4.40*10^ 3     X                                    
        4.20*10^ 3     X                                    
        4.00*10^ 3     X                                    
        3.80*10^ 3     X                                    
        3.60*10^ 3     X                                    
        3.40*10^ 3     X                                    
        3.20*10^ 3     X                                    
        3.00*10^ 3     X                                    
        2.80*10^ 3    2X                                    
        2.60*10^ 3    XX                                    
        2.40*10^ 3    XX                                    
        2.20*10^ 3    XX                                    
        2.00*10^ 3    XX7                                   
        1.80*10^ 3    XXX                                   
        1.60*10^ 3    XXX                                   
        1.40*10^ 3    XXX                                   
        1.20*10^ 3    XXX                                   
        1.00*10^ 3    XXX                                   
        0.80*10^ 3    XXX                                   
        0.60*10^ 3    XXX                                   
        0.40*10^ 3    XXX4                                  
        0.20*10^ 3    XXXX1                                 

          Contents                                          
            *10^ 3  0025100000000000000000000000000000000000
            *10^ 2  0061920000000000000000000000000000000000
            *10^ 1  0032471000000000000000000000000000000000
            *10^ 0  0084674100000000000000000000000000000000

          Low edge  -                                       
            *10^ 1  0000000000011111111112222222222333333333
            *10^ 0  0012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555

   Entries  =       10000    Mean =  2.9908e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  7.6375e-01    Overflow  =  0.0000e+00    High edge =  3.9500e+01


  2013-09-20 16:02       Durham jet multiplicity

        6.50*10^ 3    5                                     
        6.25*10^ 3    X                                     
        6.00*10^ 3    X                                     
        5.75*10^ 3    X                                     
        5.50*10^ 3    X                                     
        5.25*10^ 3    X                                     
        5.00*10^ 3    X                                     
        4.75*10^ 3    X                                     
        4.50*10^ 3    X                                     
        4.25*10^ 3    X                                     
        4.00*10^ 3    X                                     
        3.75*10^ 3    X                                     
        3.50*10^ 3    X                                     
        3.25*10^ 3    X5                                    
        3.00*10^ 3    XX                                    
        2.75*10^ 3    XX                                    
        2.50*10^ 3    XX                                    
        2.25*10^ 3    XX                                    
        2.00*10^ 3    XX                                    
        1.75*10^ 3    XX                                    
        1.50*10^ 3    XX                                    
        1.25*10^ 3    XX                                    
        1.00*10^ 3    XX                                    
        0.75*10^ 3    XX                                    
        0.50*10^ 3    XX8                                   
        0.25*10^ 3    XXX1                                  

          Contents                                          
            *10^ 3  0063000000000000000000000000000000000000
            *10^ 2  0031400000000000000000000000000000000000
            *10^ 1  0073630000000000000000000000000000000000
            *10^ 0  0033121000000000000000000000000000000000

          Low edge  -                                       
            *10^ 1  0000000000011111111112222222222333333333
            *10^ 0  0012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555

   Entries  =       10000    Mean =  2.4155e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  5.9620e-01    Overflow  =  0.0000e+00    High edge =  3.9500e+01


  2013-09-20 16:02       Lund e_i - e_{i+1}

        1.30*10^ 3            5                                                                                         
        1.25*10^ 3            X4                                                                                        
        1.20*10^ 3            XX                                                                                        
        1.15*10^ 3            XX                                                                                        
        1.10*10^ 3            XX                                                                                        
        1.05*10^ 3            XX3                                                                                       
        1.00*10^ 3            XXX                                                                                       
        0.95*10^ 3            XXX                                                                                       
        0.90*10^ 3            XXX4                                                                                      
        0.85*10^ 3            XXXX                                                                                      
        0.80*10^ 3            XXXX                                                                                      
        0.75*10^ 3            XXXX5                                                                                     
        0.70*10^ 3            XXXXX                                                                                     
        0.65*10^ 3            XXXXX4                                                                                    
        0.60*10^ 3            XXXXXX1                                                                                   
        0.55*10^ 3            XXXXXXX2                                                                                  
        0.50*10^ 3            XXXXXXXX                                                                                  
        0.45*10^ 3            XXXXXXXX4                                                                                 
        0.40*10^ 3            XXXXXXXXX9                                                                                
        0.35*10^ 3            XXXXXXXXXX4                                                                               
        0.30*10^ 3            XXXXXXXXXXX54                                                                             
        0.25*10^ 3            XXXXXXXXXXXXXX21                                                                          
        0.20*10^ 3            XXXXXXXXXXXXXXXX752                                                                       
        0.15*10^ 3            XXXXXXXXXXXXXXXXXXXX85936113                                                              
        0.10*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXX5555625 2 2                                                   
        0.05*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX888787676656454353233111                          

          Contents                                                                                                      
            *10^ 3  0000000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000220876554332222211111111111100000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000721622511927650087553241300177778575556544333333332222112111100000000000000000000000000000
            *10^ 0  0000000000325940328715818753918736044774660961900021968415107804875524476500000000000000000000000000

          Low edge  ----------                                                                                          
            *10^ 1  0000000000000000000000000000001111111111111111111122222222222222222222333333333333333333334444444444
            *10^ 0  5443322110001122334455667788990011223344556677889900112233445566778899001122334455667788990011223344
            *10^-1  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =       12157    Mean =  5.7359e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  1.2157e+04    Rms  =  6.2913e+00    Overflow  =  0.0000e+00    High edge =  4.5000e+01


  2013-09-20 16:02       Jade e_i - e_{i+1}

        1.50*10^ 3            1                                                                                         
        1.45*10^ 3            X                                                                                         
        1.40*10^ 3            X                                                                                         
        1.35*10^ 3            X                                                                                         
        1.30*10^ 3            X                                                                                         
        1.25*10^ 3            X4                                                                                        
        1.20*10^ 3            XX                                                                                        
        1.15*10^ 3            XX                                                                                        
        1.10*10^ 3            XX2                                                                                       
        1.05*10^ 3            XXX                                                                                       
        1.00*10^ 3            XXX                                                                                       
        0.95*10^ 3            XXX                                                                                       
        0.90*10^ 3            XXX7                                                                                      
        0.85*10^ 3            XXXX                                                                                      
        0.80*10^ 3            XXXX                                                                                      
        0.75*10^ 3            XXXX8                                                                                     
        0.70*10^ 3            XXXXX                                                                                     
        0.65*10^ 3            XXXXX3                                                                                    
        0.60*10^ 3            XXXXXX                                                                                    
        0.55*10^ 3            XXXXXX81                                                                                  
        0.50*10^ 3            XXXXXXXX3                                                                                 
        0.45*10^ 3            XXXXXXXXXX                                                                                
        0.40*10^ 3            XXXXXXXXXXX865  3                                                                         
        0.35*10^ 3            XXXXXXXXXXXXXX76X 2 1                                                                     
        0.30*10^ 3            XXXXXXXXXXXXXXXXXXX8X215                                                                  
        0.25*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXX8X8 13                                                           
        0.20*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXX7XX792X62 2                                                   
        0.15*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X753    2    1    4 2   1    2  2    1 113          
        0.10*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX988XX6X97X8846X7X887X7787X75X9978X8XXX767552    
        0.05*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX72  

          Contents                                                                                                      
            *10^ 3  0000000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000420876554433333333323222222212211121111111000110000100001010001000010010000101110000000000
            *10^ 1  0000000000525841406599873260190557545480189507635321989017998089782818880888808709989080018887753000
            *10^ 0  0000000000409716155192056940105974122154665909039444390018933492221329974748693486550684346174584810

          Low edge  ----------                                                                                          
            *10^ 1  0000000000000000000000000000001111111111111111111122222222222222222222333333333333333333334444444444
            *10^ 0  5443322110001122334455667788990011223344556677889900112233445566778899001122334455667788990011223344
            *10^-1  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =       19908    Mean =  1.1849e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  1.9908e+04    Rms  =  1.1773e+01    Overflow  =  0.0000e+00    High edge =  4.5000e+01


  2013-09-20 16:02       Durham e_i - e_{i+1}

        1.56*10^ 3            5                                                                                         
        1.50*10^ 3            X                                                                                         
        1.44*10^ 3            X                                                                                         
        1.38*10^ 3            X6                                                                                        
        1.32*10^ 3            XX                                                                                        
        1.26*10^ 3            XX                                                                                        
        1.20*10^ 3            XX                                                                                        
        1.14*10^ 3            XX1                                                                                       
        1.08*10^ 3            XXX                                                                                       
        1.02*10^ 3            XXX                                                                                       
        0.96*10^ 3            XXX                                                                                       
        0.90*10^ 3            XXX8                                                                                      
        0.84*10^ 3            XXXX                                                                                      
        0.78*10^ 3            XXXX2                                                                                     
        0.72*10^ 3            XXXXX                                                                                     
        0.66*10^ 3            XXXXX                                                                                     
        0.60*10^ 3            XXXXX6                                                                                    
        0.54*10^ 3            XXXXXX7                                                                                   
        0.48*10^ 3            XXXXXXX                                                                                   
        0.42*10^ 3            XXXXXXX850                                                                                
        0.36*10^ 3            XXXXXXXXXX                                                                                
        0.30*10^ 3            XXXXXXXXXX992                                                                             
        0.24*10^ 3            XXXXXXXXXXXXX6755224    1                                                                 
        0.18*10^ 3            XXXXXXXXXXXXXXXXXXXX39X4X3522 3412                                                        
        0.12*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXXX8XXXXX9X79564 2 111                                          
        0.06*10^ 3            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XXX887XX776676966653553222                   

          Contents                                                                                                      
            *10^ 3  0000000000111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000530875543322222221121111111111111111111000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000358827218699412019903774834331342311101898565666444554433435333212211110000000000000000000
            *10^ 0  0000000000097598408362984713516282688500714093906985993645871793248061535857884401000000000000000000

          Low edge  ----------                                                                                          
            *10^ 1  0000000000000000000000000000001111111111111111111122222222222222222222333333333333333333334444444444
            *10^ 0  5443322110001122334455667788990011223344556677889900112233445566778899001122334455667788990011223344
            *10^-1  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =       14155    Mean =  7.3911e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  1.4155e+04    Rms  =  8.0035e+00    Overflow  =  0.0000e+00    High edge =  4.5000e+01
pythia8-8.1.86.orig/examples/outref/out050000644000175000017500000023231212357054710016367 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:01:28    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   1.522e-04 |
 | g g -> q qbar (uds)                            112 |   2.736e-06 |
 | q g -> q g                                     113 |   3.573e-04 |
 | q q(bar)' -> q q(bar)'                         114 |   6.125e-05 |
 | q qbar -> g g                                  115 |   4.929e-07 |
 | q qbar -> q' qbar' (uds)                       116 |   2.760e-07 |
 | g g -> c cbar                                  121 |   9.119e-07 |
 | q qbar -> c cbar                               122 |   9.199e-08 |
 | g g -> b bbar                                  123 |   9.109e-07 |
 | q qbar -> b bbar                               124 |   9.193e-08 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  271.14 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | HardQCD:all                                   |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                200.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------

#--------------------------------------------------------------------------
#                     FastJet release 3.0.5 [fjcore]
#                 M. Cacciari, G.P. Salam and G. Soyez                  
#     A software package for jet finding and analysis at colliders      
#                           http://fastjet.fr                           
#	                                                                      
# Please cite EPJC72(2012)1896 [arXiv:1111.6097] if you use this package
# for scientific work and optionally PLB641(2006)57 [hep-ph/0512210].   
#                                                                       
# FastJet is provided without warranty under the terms of the GNU GPLv2.
# It uses T. Chan's closest pair algorithm, S. Fortune's Voronoi code
# and 3rd party plugin jet algorithms. See COPYING file for details.
#--------------------------------------------------------------------------

 --  PYTHIA SlowJet(fjcore) Listing, p = -1, R = 0.700, pTjetMin =  10.000, etaMax =  4.000  -- 
 
   no      pTjet      y       phi   mult      p_x        p_y        p_z         e          m 
    0    227.513   -0.934    0.775    44    162.570    159.164   -247.397    337.716     32.932
    1    223.408    0.523   -2.340    35   -155.470   -160.438    123.076    256.484     26.926
    2     24.202    2.045   -2.192    38    -14.084    -19.682    100.043    103.452     10.387
    3     15.149   -3.524   -1.998    20     -6.282    -13.785   -278.618    279.103      6.384
    4     13.849   -2.459    1.156    24      5.576     12.677    -90.094     91.423      7.022

 --------  End PYTHIA SlowJet Listing  --------------------------------------------------------

 --------  PYTHIA CellJet Listing, eTjetMin =   10.000, coneRadius = 0.700  ------------------------------ 
 
  no     eTjet  etaCtr  phiCtr   etaWt   phiWt mult      p_x        p_y        p_z         e          m 
   0   227.680  -0.850   0.834  -0.928   0.792   44    159.251    161.309   -244.251    334.859     33.026
   1   223.759   0.550  -2.307   0.543  -2.328   34   -153.272   -162.056    128.190    258.628     26.479
   2    23.067   2.350  -2.405   2.254  -2.291   30    -14.754    -16.853    113.101    115.616      8.573
   3    14.613  -3.650  -1.914  -3.551  -1.960   18     -5.452    -13.281   -263.138    263.574      4.838
   4    11.827  -2.550   1.424  -2.556   1.255   20      3.538     10.847    -78.959     79.916      4.665

 --------  End PYTHIA CellJet Listing  -------------------------------------------------------------------

 --  PYTHIA SlowJet(fjcore) Listing, p = -1, R = 0.700, pTjetMin =  10.000, etaMax =  4.000  -- 
 
   no      pTjet      y       phi   mult      p_x        p_y        p_z         e          m 
    0    237.720   -1.404    0.338    68    224.280     78.799   -471.539    532.122     65.527
    1    215.422   -1.049   -2.725    62   -197.010    -87.141   -274.595    351.485     41.627
    2     24.909   -1.847   -3.068    30    -24.841     -1.835    -81.548     85.705      8.647
    3     18.165   -1.664    1.510    16      1.096     18.132    -48.839     52.471      6.163
    4     15.624    2.764    1.466    17      1.627     15.539    129.560    130.594      4.976
    5     11.743    0.436   -2.342    17     -8.183     -8.422      5.770     14.062      5.152

 --------  End PYTHIA SlowJet Listing  --------------------------------------------------------

 --------  PYTHIA CellJet Listing, eTjetMin =   10.000, coneRadius = 0.700  ------------------------------ 
 
  no     eTjet  etaCtr  phiCtr   etaWt   phiWt mult      p_x        p_y        p_z         e          m 
   0   240.790  -1.350   0.442  -1.407   0.345   67    221.081     79.715   -466.449    525.921     61.544
   1   215.978  -1.050  -2.700  -1.035  -2.728   60   -196.412    -86.232   -268.464    345.872     39.256
   2    26.107  -1.750  -2.994  -1.834  -3.031   31    -25.223     -2.766    -81.146     85.390      7.929
   3    17.118   2.650   1.522   2.727   1.507   19      1.067     16.688    134.019    135.175      5.616
   4    17.042  -1.650   1.620  -1.685   1.536   15      0.578     16.761    -45.299     48.523      4.612
   5    11.719  -2.850   2.700  -2.744   2.760   17    -10.280      4.179    -93.127     93.901      4.643
   6    10.256   0.550  -3.093   0.492  -2.939   15     -9.515     -1.956      5.351     11.771      3.946

 --------  End PYTHIA CellJet Listing  -------------------------------------------------------------------

 --  PYTHIA SlowJet(fjcore) Listing, p = -1, R = 0.700, pTjetMin =  10.000, etaMax =  4.000  -- 
 
   no      pTjet      y       phi   mult      p_x        p_y        p_z         e          m 
    0    243.686   -0.516    2.992    59   -240.958     36.359   -133.217    280.865     41.894
    1    197.697    1.118   -0.470    54    176.284    -89.488    272.443    337.663     26.595
    2     99.553   -1.604    0.664    38     78.387     61.370   -243.033    263.528     21.714
    3     13.074   -2.076    2.422    13     -9.834      8.615    -53.706     55.423      4.060
    4     11.140    3.292   -2.024    10     -4.878    -10.015    160.984    161.430      4.411

 --------  End PYTHIA SlowJet Listing  --------------------------------------------------------

 --------  PYTHIA CellJet Listing, eTjetMin =   10.000, coneRadius = 0.700  ------------------------------ 
 
  no     eTjet  etaCtr  phiCtr   etaWt   phiWt mult      p_x        p_y        p_z         e          m 
   0   243.269  -0.450   2.994  -0.518   3.008   57   -239.611     32.256   -132.400    278.173     37.370
   1   197.833   1.150  -0.442   1.131  -0.446   53    178.002    -85.005    275.891    339.998     23.907
   2   100.919  -1.650   0.638  -1.606   0.678   38     77.430     62.318   -243.637    264.067     22.211
   3    13.951  -2.050   2.503  -2.053   2.467   14    -10.652      8.554    -54.632     56.462      4.085
   4    11.282   3.350  -2.013   3.300  -2.018   10     -4.811    -10.056    159.878    160.316      3.971

 --------  End PYTHIA CellJet Listing  -------------------------------------------------------------------

 --  PYTHIA SlowJet(fjcore) Listing, p = -1, R = 0.700, pTjetMin =  10.000, etaMax =  4.000  -- 
 
   no      pTjet      y       phi   mult      p_x        p_y        p_z         e          m 
    0    236.430    0.441   -2.931    74   -231.207    -49.419    109.591    264.461     45.062
    1    181.314    0.896   -0.263    81    175.100    -47.059    193.792    271.220     55.950
    2    111.235   -1.098    1.594    39     -2.565    111.205   -150.230    187.836     18.442
    3    103.965    1.777   -0.577    39     87.130    -56.720    313.892    332.387     33.828
    4     48.053   -1.532    2.591    46    -40.957     25.133   -112.854    123.909     17.558
    5     35.178    1.958    1.521    21      1.764     35.134    126.030    131.158      9.017
    6     29.513    2.852   -0.120    14     29.302     -3.525    260.099    261.839      6.103
    7     13.256   -2.164   -2.053    12     -6.146    -11.745    -59.122     60.705      3.727
    8     11.585   -1.979    1.712    18     -1.632     11.470    -43.464     45.155      3.960
    9     10.328   -3.389   -0.927    18      6.197     -8.262   -167.077    167.457      4.555

 --------  End PYTHIA SlowJet Listing  --------------------------------------------------------

 --------  PYTHIA CellJet Listing, eTjetMin =   10.000, coneRadius = 0.700  ------------------------------ 
 
  no     eTjet  etaCtr  phiCtr   etaWt   phiWt mult      p_x        p_y        p_z         e          m 
   0   237.919   0.450  -2.896   0.440  -2.945   71   -231.472    -46.077    108.922    263.376     42.432
   1   150.041   0.750  -0.245   0.793  -0.209   52    144.669    -30.818    132.439    200.709     29.415
   2   125.363   1.550  -0.638   1.574  -0.552   63    105.248    -64.797    298.967    325.774     38.360
   3   111.520  -1.050   1.620  -1.081   1.603   38     -3.581    111.080   -146.715    184.878     17.402
   4    48.529  -1.450   2.700  -1.532   2.593   41    -40.393     24.757   -110.272    121.091     16.082
   5    37.844   2.850  -0.147   2.721  -0.212   20     36.584     -7.882    295.140    297.720     11.347
   6    36.335   1.850   1.522   1.932   1.538   23      1.170     35.833    125.135    130.500      9.280
   7    13.070  -2.150  -2.111  -2.156  -2.056   10     -6.044    -11.422    -56.371     57.908      2.956
   8    12.505  -1.950   1.718  -1.955   1.708   20     -1.694     11.969    -44.174     45.976      4.042
   9    10.723  -3.350  -0.834  -3.418  -0.917   18      6.329     -8.240   -169.745    170.109      3.988

 --------  End PYTHIA CellJet Listing  -------------------------------------------------------------------

 --  PYTHIA SlowJet(fjcore) Listing, p = -1, R = 0.700, pTjetMin =  10.000, etaMax =  4.000  -- 
 
   no      pTjet      y       phi   mult      p_x        p_y        p_z         e          m 
    0    268.595   -1.409    0.611    63    219.973    154.127   -522.163    588.528     39.588
    1    233.293    0.561   -2.528    50   -190.753   -134.309    139.311    273.770     33.418
    2     15.891   -0.422   -2.646    17    -13.980     -7.555     -7.509     18.833      6.765
    3     15.139    1.695    2.664    22    -13.449      6.952     44.692     47.808      7.686
    4     14.469   -2.343    0.136    28     14.335      1.964    -82.689     84.227      6.885
    5     13.647   -1.835   -2.349    21     -9.577     -9.722    -44.881     47.228      5.467
    6     10.801   -3.690   -2.236    17     -6.665     -8.499   -230.415    230.703      3.996

 --------  End PYTHIA SlowJet Listing  --------------------------------------------------------

 --------  PYTHIA CellJet Listing, eTjetMin =   10.000, coneRadius = 0.700  ------------------------------ 
 
  no     eTjet  etaCtr  phiCtr   etaWt   phiWt mult      p_x        p_y        p_z         e          m 
   0   269.855  -1.450   0.540  -1.421   0.604   61    220.671    152.216   -528.324    593.691     38.436
   1   233.792   0.550  -2.503   0.554  -2.520   50   -188.948   -135.443    136.773    271.646     32.225
   2    14.709  -0.750  -2.602  -0.452  -2.678   17    -12.871     -6.428     -7.285     17.063      5.577
   3    13.355  -2.050  -2.405  -1.885  -2.351   16     -9.143     -9.239    -43.692     45.753      3.920
   4    12.124  -2.750   0.442  -2.538   0.295   24     11.312      3.428    -81.078     82.087      4.989
   5    11.174  -3.650  -2.111  -3.705  -2.201   17     -6.312     -8.664   -229.989    230.268      3.659
   6    10.831   2.250   2.111   2.214   2.179   14     -5.945      8.510     51.011     52.240      4.373
   7    10.606  -0.950  -1.522  -0.940  -1.597   17     -0.241    -10.067    -11.715     15.928      3.880

 --------  End PYTHIA CellJet Listing  -------------------------------------------------------------------
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |         992        156        156 |   2.452e-05  9.322e-07 |
 | g g -> q qbar (uds)                            112 |          13          5          5 |   6.471e-07  2.027e-07 |
 | q g -> q g                                     113 |        2202        279        279 |   4.035e-05  1.385e-06 |
 | q q(bar)' -> q q(bar)'                         114 |         385         56         56 |   8.929e-06  6.646e-07 |
 | q qbar -> g g                                  115 |           4          1          1 |   1.742e-07  1.742e-07 |
 | q qbar -> q' qbar' (uds)                       116 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> c cbar                                  121 |           6          2          2 |   2.708e-07  9.573e-08 |
 | q qbar -> c cbar                               122 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> b bbar                                  123 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> b bbar                               124 |           2          1          1 |   4.301e-08  4.301e-08 |
 |                                                    |                                   |                        |
 | sum                                                |        3607        500        500 |   7.494e-05  1.819e-06 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      2   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      2   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      1   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:01       number of jets, SlowJet

        1.04*10^ 2       5                                            
        1.00*10^ 2       X                                            
        0.96*10^ 2       X                                            
        0.92*10^ 2       X                                            
        0.88*10^ 2       X                                            
        0.84*10^ 2       X                                            
        0.80*10^ 2       X                                            
        0.76*10^ 2       X                                            
        0.72*10^ 2       X                                            
        0.68*10^ 2       X8                                           
        0.64*10^ 2      XXX5                                          
        0.60*10^ 2      XXXX                                          
        0.56*10^ 2      XXXX                                          
        0.52*10^ 2      XXXX                                          
        0.48*10^ 2      XXXX3                                         
        0.44*10^ 2     8XXXXX5                                        
        0.40*10^ 2     XXXXXXX                                        
        0.36*10^ 2     XXXXXXX                                        
        0.32*10^ 2     XXXXXXX                                        
        0.28*10^ 2     XXXXXXX                                        
        0.24*10^ 2     XXXXXXX                                        
        0.20*10^ 2    2XXXXXXX25                                      
        0.16*10^ 2    XXXXXXXXXX                                      
        0.12*10^ 2    XXXXXXXXXXX                                     
        0.08*10^ 2    XXXXXXXXXXXX                                    
        0.04*10^ 2    XXXXXXXXXXXX53                                  

          Contents                                                    
            *10^ 2  00000100000000000000000000000000000000000000000000
            *10^ 1  00146066441110000000000000000000000000000000000000
            *10^ 0  00734272527828210000000000000000000000000000000000
            *10^-1  00000000000000000000000000000000000000000000000000

          Low edge  -                                                 
            *10^ 1  00000000000111111111122222222223333333333444444444
            *10^ 0  00123456789012345678901234567890123456789012345678
            *10^-1  55555555555555555555555555555555555555555555555555

   Entries  =         500    Mean =  6.3240e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  5.0000e+02    Rms  =  2.5844e+00    Overflow  =  0.0000e+00    High edge =  4.9500e+01


  2013-09-20 16:01       number of jets, CellJet

        8.40*10^ 1       X3                                           
        8.10*10^ 1       XX                                           
        7.80*10^ 1       XX                                           
        7.50*10^ 1       XX                                           
        7.20*10^ 1       XX                                           
        6.90*10^ 1       XX                                           
        6.60*10^ 1       XX                                           
        6.30*10^ 1       XX                                           
        6.00*10^ 1       XX 7                                         
        5.70*10^ 1       XX7X                                         
        5.40*10^ 1      3XXXX                                         
        5.10*10^ 1      XXXXX                                         
        4.80*10^ 1      XXXXX                                         
        4.50*10^ 1      XXXXX                                         
        4.20*10^ 1      XXXXX                                         
        3.90*10^ 1     XXXXXX                                         
        3.60*10^ 1     XXXXXX X                                       
        3.30*10^ 1     XXXXXX7X                                       
        3.00*10^ 1     XXXXXXXX                                       
        2.70*10^ 1     XXXXXXXX                                       
        2.40*10^ 1     XXXXXXXX                                       
        2.10*10^ 1     XXXXXXXX                                       
        1.80*10^ 1     XXXXXXXX                                       
        1.50*10^ 1    7XXXXXXXX                                       
        1.20*10^ 1    XXXXXXXXX7 X                                    
        0.90*10^ 1    XXXXXXXXXXXX3                                   
        0.60*10^ 1    XXXXXXXXXXXXX7                                  
        0.30*10^ 1    XXXXXXXXXXXXXX 7                                

          Contents                                                    
            *10^ 1  00135885533101000000000000000000000000000000000000
            *10^ 0  00492426926192750200000000000000000000000000000000
            *10^-1  00000000000000000000000000000000000000000000000000
            *10^-2  00000000000000000000000000000000000000000000000000

          Low edge  -                                                 
            *10^ 1  00000000000111111111122222222223333333333444444444
            *10^ 0  00123456789012345678901234567890123456789012345678
            *10^-1  55555555555555555555555555555555555555555555555555

   Entries  =         500    Mean =  6.7380e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  5.0000e+02    Rms  =  2.8400e+00    Overflow  =  0.0000e+00    High edge =  4.9500e+01


  2013-09-20 16:01       number of jets, CellJet - SlowJet

        2.70*10^ 2                        2                      
        2.60*10^ 2                        X                      
        2.50*10^ 2                        X                      
        2.40*10^ 2                        X                      
        2.30*10^ 2                        X                      
        2.20*10^ 2                        X                      
        2.10*10^ 2                        X                      
        2.00*10^ 2                        X                      
        1.90*10^ 2                        X                      
        1.80*10^ 2                        X                      
        1.70*10^ 2                        X                      
        1.60*10^ 2                        X                      
        1.50*10^ 2                        X                      
        1.40*10^ 2                        X8                     
        1.30*10^ 2                        XX                     
        1.20*10^ 2                        XX                     
        1.10*10^ 2                        XX                     
        1.00*10^ 2                        XX                     
        0.90*10^ 2                        XX                     
        0.80*10^ 2                        XX                     
        0.70*10^ 2                        XX                     
        0.60*10^ 2                        XX                     
        0.50*10^ 2                        XX4                    
        0.40*10^ 2                       9XXX                    
        0.30*10^ 2                       XXXX                    
        0.20*10^ 2                       XXXX                    
        0.10*10^ 2                     16XXXX631                 

          Contents                                               
            *10^ 2  000000000000000000000021000000000000000000000
            *10^ 1  000000000000000000000363400000000000000000000
            *10^ 0  000000000000000000016928463100000000000000000
            *10^-1  000000000000000000000000000000000000000000000

          Low edge  -----------------------                      
            *10^ 1  222111111111100000000000000000000111111111122
            *10^ 0  210987654321098765432100123456789012345678901
            *10^-1  555555555555555555555555555555555555555555555

   Entries  =         500    Mean =  4.1400e-01    Underflow =  0.0000e+00    Low edge  = -2.2500e+01
   All chan =  5.0000e+02    Rms  =  9.2445e-01    Overflow  =  0.0000e+00    High edge =  2.2500e+01


  2013-09-20 16:01       pT for jets, SlowJet

        7.80*10^ 2    4                                                                                                 
        7.50*10^ 2    X                                                                                                 
        7.20*10^ 2    X                                                                                                 
        6.90*10^ 2    X                                                                                                 
        6.60*10^ 2    X                                                                                                 
        6.30*10^ 2    X                                                                                                 
        6.00*10^ 2    X                                                                                                 
        5.70*10^ 2    X                                                                                                 
        5.40*10^ 2    X                                                                                                 
        5.10*10^ 2    X                                                                                                 
        4.80*10^ 2    X                                                                                                 
        4.50*10^ 2    X                                                                                                 
        4.20*10^ 2    X                                                                                                 
        3.90*10^ 2    X                                                                                                 
        3.60*10^ 2    X1                                                                                                
        3.30*10^ 2    XX                                                                                                
        3.00*10^ 2    XX                                                                                                
        2.70*10^ 2    XX                                                                                                
        2.40*10^ 2    XX                                                                                                
        2.10*10^ 2    XX8                                                                                               
        1.80*10^ 2    XXX                                                                                               
        1.50*10^ 2    XXX4                                                                                              
        1.20*10^ 2    XXXX7                                                                                             
        0.90*10^ 2    XXXXX341                                                                                          
        0.60*10^ 2    XXXXXXXX18   1                        265742133                                                   
        0.30*10^ 2    XXXXXXXXXXX99X65653737646463757778X9XXXXXXXXXXXX96879666734535431132113111 1  1 11  11  1        1

          Contents                                                                                                      
            *10^ 2  0073211000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0063031676353223111112121111112122223223344543344221222111211101100000000000000000000000000000000000
            *10^ 0  0012520933250862749600029283901612030791794027200987426797101595292297428232131121240122102010011012
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^ 1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^ 0  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        3162    Mean =  9.8442e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.1490e+03    Rms  =  1.0454e+02    Overflow  =  1.3000e+01    High edge =  5.0000e+02


  2013-09-20 16:01       eT for jets, CellJet

        0.96*10^ 3    5                                                                                                 
        0.92*10^ 3    X                                                                                                 
        0.88*10^ 3    X                                                                                                 
        0.84*10^ 3    X                                                                                                 
        0.80*10^ 3    X                                                                                                 
        0.76*10^ 3    X                                                                                                 
        0.72*10^ 3    X                                                                                                 
        0.68*10^ 3    X                                                                                                 
        0.64*10^ 3    X                                                                                                 
        0.60*10^ 3    X                                                                                                 
        0.56*10^ 3    X                                                                                                 
        0.52*10^ 3    X                                                                                                 
        0.48*10^ 3    X                                                                                                 
        0.44*10^ 3    X                                                                                                 
        0.40*10^ 3    X                                                                                                 
        0.36*10^ 3    X3                                                                                                
        0.32*10^ 3    XX                                                                                                
        0.28*10^ 3    XX                                                                                                
        0.24*10^ 3    XX5                                                                                               
        0.20*10^ 3    XXX                                                                                               
        0.16*10^ 3    XXX5                                                                                              
        0.12*10^ 3    XXXX42                                                                                            
        0.08*10^ 3    XXXXXX841                              2122                                                       
        0.04*10^ 3    XXXXXXXXXX88776454345553543354565688689XXXX898X9755657455334233311121 111 1 1 1 11    1 1    1    

          Contents                                                                                                      
            *10^ 2  0093210000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0033249875443322212111111111111112123323344443333322221211111101110000000000000000000000000000000000
            *10^ 0  0093025735210397450536999486438794920333584880439660129659942573024558315641313021340111202010020011
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^ 1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^ 0  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        3369    Mean =  9.3154e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.3550e+03    Rms  =  1.0305e+02    Overflow  =  1.4000e+01    High edge =  5.0000e+02


  2013-09-20 16:01       y for jets, SlowJet

        7.25*10^ 1                                                    4 4                                               
        7.00*10^ 1                                  2        2        X X                                               
        6.75*10^ 1                                  X  8     X    8   X X     8                                         
        6.50*10^ 1                                  X  X   22X  6 X6  X X     XX  6                                     
        6.25*10^ 1                                  X  X   XXX  X XX  X X     XX  X                                     
        6.00*10^ 1                                  X  X   XXX  X XX  X6X  X 6XX  X                                     
        5.75*10^ 1                                  X  X  4XXX  X XX  XXX  X XXX  X   8                                 
        5.50*10^ 1                                  X 2XX XXXX  X XX  XXX  X6XXX6 XX2 X                                 
        5.25*10^ 1                               4  X XXX XXXX8 X XX4 XXX48XXXXXX8XXX X 4                               
        5.00*10^ 1                               X  X XXX2XXXXX2XXXXX XXXXXXXXXXXXXXX6X X                               
        4.75*10^ 1                               X  X XXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXX X                               
        4.50*10^ 1                         2  6  X  X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X                               
        4.25*10^ 1                         X  X  X  X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4X 4 8  8                        
        4.00*10^ 1                         X  X  XX X6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X  X                        
        3.75*10^ 1                         X  X  XX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X  X                        
        3.50*10^ 1                         X 2X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6X X 2X                        
        3.25*10^ 1                         X XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XX                        
        3.00*10^ 1                    2    X XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   X 2                  
        2.75*10^ 1                    X 8  X XX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   X X8                 
        2.50*10^ 1                    X X2XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX26X XX                 
        2.25*10^ 1                    X XXXX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8XX 4               
        2.00*10^ 1                2XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X               
        1.75*10^ 1                XXX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X               
        1.50*10^ 1                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X               
        1.25*10^ 1               8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8X 8             
        1.00*10^ 1              6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2            
        0.75*10^ 1             4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4           
        0.50*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2          
        0.25*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX          

          Contents                                                                                                      
            *10^ 1  0000000000000112212222242342354363565456665465665475755655665565545453434334222322212110000000000000
            *10^ 0  0000000000069280068073531346510689375863382840741519112049754245397114102032534028721028630000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  5444444444433333333332222222222111111111100000000000000000001111111111222222222233333333334444444444
            *10^-1  0987654321098765432109876543210987654321098765432101234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        3162    Mean = -1.0247e-02    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  3.1620e+03    Rms  =  1.7845e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       eta for jets, CellJet

        7.80*10^ 1                                         X 7        7        X                                        
        7.50*10^ 1                                         X X        X        X                                        
        7.20*10^ 1                                         X X        X 7      X                                        
        6.90*10^ 1                                         X X        X X      X 3 7                                    
        6.60*10^ 1                                  7  3   X X  X     X X      X X X                                    
        6.30*10^ 1                                  X  X   X XX XX    X XX3  33X X X                                    
        6.00*10^ 1                                  X7 X7  X7XX XX 3  X XXX 3XXX XXX                                    
        5.70*10^ 1                               3  XX XX7 XXXX XX7X73X XXX7XXXX XXX   3                                
        5.40*10^ 1                               X  XX XXX XXXX XXXXXXX3XXXXXXXXXXXX737X                                
        5.10*10^ 1                               X 7XX7XXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                
        4.80*10^ 1                               X XXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXX3 X                             
        4.50*10^ 1                               X XXXXXXX7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X 3                           
        4.20*10^ 1                         X    XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X 33                        
        3.90*10^ 1                         X  3 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X X XX                        
        3.60*10^ 1                         X 7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X3XX                        
        3.30*10^ 1                         X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXXX 3                      
        3.00*10^ 1                     X   X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X  7                   
        2.70*10^ 1                   7 X X7X7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX                   
        2.40*10^ 1                   X7X3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX3  7              
        2.10*10^ 1                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX  X              
        1.80*10^ 1               77 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXXX73X              
        1.50*10^ 1               XX7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7             
        1.20*10^ 1              XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX             
        0.90*10^ 1             3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7           
        0.60*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX           
        0.30*10^ 1            3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX          

          Contents                                                                                                      
            *10^ 1  0000000000001111122322242333453565565547576566555575766556675666555543434344231222211210000000000000
            *10^ 0  0000000000172774863027626576259059049648973163686572131681184708323568813400916794276349830000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  5444444444433333333332222222222111111111100000000000000000001111111111222222222233333333334444444444
            *10^-1  0987654321098765432109876543210987654321098765432101234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        3369    Mean = -1.2185e-02    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  3.3690e+03    Rms  =  1.7931e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       phi for jets, SlowJwt

        4.60*10^ 1                              X                                                                       
        4.50*10^ 1                              X                                                                       
        4.40*10^ 1                              X                                                      X                
        4.30*10^ 1                              X                                                      X                
        4.20*10^ 1                              X                        X                     X       X                
        4.10*10^ 1                     X        X                     X  X                     X       X                
        4.00*10^ 1                     X        X                     X  X                     X X     X                
        3.90*10^ 1      X              X    X   X               X     X  X                     X X     X       X    X   
        3.80*10^ 1      X              X    X   X               X     X  X                     X X     X   X   X    X   
        3.70*10^ 1      X     X        X    X   X               X     X  X        X   X        X X     X X X   X    X   
        3.60*10^ 1      X     X        X    X   X           X X X     X  X        X   X      X X X     X X X   X  XXXX  
        3.50*10^ 1      X     X    X   X X  X   X           X X X  X  X  X        X X X      X X X     X X X   X  XXXX  
        3.40*10^ 1     XX X   X    X  XX X  X   XX         XX X X  X  X  X        X X X      X X X     X X X   X  XXXX  
        3.30*10^ 1   XXXX X   X    X  XXXX  X   XX         XX X X  X  X  X       XX X X   X  X X X  X  X X X   X XXXXX  
        3.20*10^ 1   XXXX X   XX   X  XXXXX X   XXX X      XX X X  X  X XXX    X XX X X   X  XXX X  X XX XXX   X XXXXX  
        3.10*10^ 1   XXXXXXX XXX  XX  XXXXX X   XXX X      XX X X  XX XXXXXX  XX XX X X   X  XXXXX  XXXX XXX   X XXXXX  
        3.00*10^ 1   XXXXXXXXXXX  XX  XXXXX X X XXX X      XX X XX XX XXXXXX  XX XXXX X   X  XXXXX  XXXX XXX   XXXXXXX  
        2.90*10^ 1  XXXXXXXXXXXX  XX  XXXXX XXXXXXXXX XX  XXX X XXXXX XXXXXX  XX XXXX X X X XXXXXX  XXXX XXX   XXXXXXXXX
        2.80*10^ 1  XXXXXXXXXXXXX XX XXXXXXXXXXXXXXXXXXX  XXX X XXXXX XXXXXX XXX XXXX XXX X XXXXXXX XXXXXXXX   XXXXXXXXX
        2.70*10^ 1  XXXXXXXXXXXXX XX XXXXXXXXXXXXXXXXXXXX XXX X XXXXX XXXXXX XXX XXXX XXX X XXXXXXX XXXXXXXXX  XXXXXXXXX
        2.60*10^ 1  XXXXXXXXXXXXX XX XXXXXXXXXXXXXXXXXXXX XXX X XXXXX XXXXXX XXX XXXX XXX X XXXXXXX XXXXXXXXX XXXXXXXXXX
        2.50*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX X XXXXX XXXXXXXXXX XXXX XXX X XXXXXXX XXXXXXXXX XXXXXXXXXX
        2.40*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX X XXXXX XXXXXXXXXXXXXXX XXXXX XXXXXXX XXXXXXXXX XXXXXXXXXX
        2.30*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX X XXXXX XXXXXXXXXXXXXXXXXXXXX XXXXXXX XXXXXXXXXXXXXXXXXXXX
        2.20*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        2.10*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        2.00*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        1.90*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        1.80*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 1  2333333333332233123433323232433232222223323233233243343322332333323222322334342233342333222333333322
            *10^ 0  9334914101728515884135289909642928997594626190951211222158124370537894329622108231248728736903669699
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  3332222222222222222111111111111111100000000000000000000000000000001111111111111111222222222222222233
            *10^-1  1009887765543322100988776554332110098876655433211000112334556678890011233455677889001223345567788900
            *10^-2  4825936048159260471582603715826937148259370481593606395184073952841739628517306285174062951840639528

   Entries  =        3162    Mean =  9.2598e-03    Underflow =  0.0000e+00    Low edge  = -3.1416e+00
   All chan =  3.1620e+03    Rms  =  1.8303e+00    Overflow  =  0.0000e+00    High edge =  3.1416e+00


  2013-09-20 16:01       phi for jets, CellJet

        5.64*10^ 1                                                                                    7                 
        5.52*10^ 1                                                                                    X                 
        5.40*10^ 1                                                                                    X                 
        5.28*10^ 1                                                                                    X                 
        5.16*10^ 1                                                                                    X                 
        5.04*10^ 1                                                                                    X                 
        4.92*10^ 1                                                                                    X                 
        4.80*10^ 1                                                                                    X                 
        4.68*10^ 1                                                                            3       X                 
        4.56*10^ 1            5                                       5                       X  5    X                 
        4.44*10^ 1        7   X        7                              X                       X  X    X                 
        4.32*10^ 1        X   X        X                              X                       X  X    X   8         8   
        4.20*10^ 1      X X   X        X             X     X          X 2         X           X  X    X   X         X   
        4.08*10^ 1      X X   X        X    3        X     X          X X  3      X           X  X    X   X         X   
        3.96*10^ 1      X X   X       5X  5 X   5    X     X          X X  X      X           X  X    X   X     5 5 X   
        3.84*10^ 1     7X X   X       XX  X X   X    X 7   X       7  X X  X      X           X  X    X   X    7X X X   
        3.72*10^ 1     XX X 8 X8      XX  X X   X    X X   X       X  X X  X   8  X           X8 X   8X   X    XX X X   
        3.60*10^ 1     XX2X X XX      XX XX X  2X  X X X   X    2  X  X XX X X X  X   X       XX2X   XX  2X    XX X2XX  
        3.48*10^ 1    3XXXX X XX      XX XX X  XX 3X X X   X    X  X  X XX X X X  X   X3 3    XXXX   XX  XX    XX XXXX  
        3.36*10^ 1    XXXXX X XX      XX XX X  XX XX X X   X    X 5X  X XX X X X  X   XX X    XXXX   XX  XX 5  XX5XXXX  
        3.24*10^ 1    XXXXX X XX      XX XX7X 7XX XX X X   X7   X7XX  X XX X X X7 X   XX X 7  XXXX   XX7 XX X  XXXXXXX  
        3.12*10^ 1    XXXXX X XX      XX XXXX8XXX XX X X   XX   XXXX  X XX8X X XX8X8  XX8X X  XXXX   XXX8XX X  XXXXXXX  
        3.00*10^ 1   2XXXXX X XX2 XX  XX XXXXXXXX XX X X X XX 2 XXXX  X2XXXXXX2XXXXX2XXXXX2XX XXXX  XXXXXXX X 2XXXXXXX  
        2.88*10^ 1   XXXXXX X3XXX XX 3XX XXXXXXXX3XX X X X XX3X XXXX3 XXXXXXXXXXXXXXXXXXXXXXX XXXX  XXXXXXX X XXXXXXXX  
        2.76*10^ 1  5XXXXXX XXXXX XX XXX5XXXXXXXXXXX5X X X XXXX XXXXX5XXXXXXXXXXXXXXXXXXXXXXX XXXX  XXXXXXX5X XXXXXXXX 5
        2.64*10^ 1  XXXXXXX7XXXXX7XX XXXXXXXXXXXXXXXXX X X XXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX7 XXXXXXXXX XXXXXXXX7X
        2.52*10^ 1  XXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXX8X8X XXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX8XXXXXXXXX8XXXXXXXXXX
        2.40*10^ 1  XXXXXXXXXXXXXXXX2XXXXXXXXXXXXXXXXXXXXXXXXXX2XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXX
        2.28*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3XXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 1  2233434232432233223423334333323324232324322233332242433433233343233333233243342233533342322333334322
            *10^ 0  7948254678579600389476920125984672585042289352388759161006972121906414920267556507621537359893953667
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  3332222222222222222111111111111111100000000000000000000000000000001111111111111111222222222222222233
            *10^-1  1009887765543322100988776554332110098876655433211000112334556678890011233455677889001223345567788900
            *10^-2  4825936048159260471582603715826937148259370481593606395184073952841739628517306285174062951840639528

   Entries  =        3369    Mean =  1.3843e-02    Underflow =  1.0000e+01    Low edge  = -3.1416e+00
   All chan =  3.3430e+03    Rms  =  1.8234e+00    Overflow  =  1.6000e+01    High edge =  3.1416e+00


  2013-09-20 16:01       R distance between jets, SlowJet

        4.20*10^ 2                                 8                                                                    
        4.05*10^ 2                                 X                                                                    
        3.90*10^ 2                                9X                                                                    
        3.75*10^ 2                                XX                                                                    
        3.60*10^ 2                              4 XX                                                                    
        3.45*10^ 2                              XXXX                                                                    
        3.30*10^ 2                            82XXXX9                                                                   
        3.15*10^ 2                         39 XXXXXXX                                                                   
        3.00*10^ 2                         XX6XXXXXXX                                                                   
        2.85*10^ 2                        7XXXXXXXXXX                                                                   
        2.70*10^ 2                       7XXXXXXXXXXX11                                                                 
        2.55*10^ 2                    113XXXXXXXXXXXXXX                                                                 
        2.40*10^ 2            7       XXXXXXXXXXXXXXXXX                                                                 
        2.25*10^ 2           1X69    XXXXXXXXXXXXXXXXXX4                                                                
        2.10*10^ 2           XXXX  95XXXXXXXXXXXXXXXXXXX55                                                              
        1.95*10^ 2           XXXX7XXXXXXXXXXXXXXXXXXXXXXXX                                                              
        1.80*10^ 2           XXXXXXXXXXXXXXXXXXXXXXXXXXXXX1                                                             
        1.65*10^ 2           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX29                                                           
        1.50*10^ 2          4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX11                                                         
        1.35*10^ 2          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9 7                                                      
        1.20*10^ 2          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                      
        1.05*10^ 2          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                                                     
        0.90*10^ 2          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5 71                                                 
        0.75*10^ 2         3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XX 9                                               
        0.60*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X8X9                                            
        0.45*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3 3                                        
        0.30*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6X84111                                   
        0.15*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX89777323111   1                    

          Contents                                                                                                      
            *10^ 2  0000000012222112222222233233333432222211111111100000000000000000000000000000000000000000000000000000
            *10^ 1  0000000641312990024446801921548125510065633323087875756543232211111111000000000000000000000000000000
            *10^ 0  0000000511594159351256144478159787662263466300033679370855447176723100535211000100000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10087    Mean =  2.9016e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0087e+04    Rms  =  1.2633e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:01       R distance between jets, CellJet

        4.80*10^ 2                                 7                                                                    
        4.60*10^ 2                                9X                                                                    
        4.40*10^ 2                                XX                                                                    
        4.20*10^ 2                               8XX                                                                    
        4.00*10^ 2                             83XXX                                                                    
        3.80*10^ 2                           3 XXXXX                                                                    
        3.60*10^ 2                           X9XXXXX6                                                                   
        3.40*10^ 2                        5 XXXXXXXXX                                                                   
        3.20*10^ 2                        X3XXXXXXXXXX                                                                  
        3.00*10^ 2                     1 6XXXXXXXXXXXX                                                                  
        2.80*10^ 2                   4XX9XXXXXXXXXXXXX7                                                                 
        2.60*10^ 2                  5XXXXXXXXXXXXXXXXXX81                                                               
        2.40*10^ 2           7XX 4 4XXXXXXXXXXXXXXXXXXXXX4                                                              
        2.20*10^ 2           XXX9X7XXXXXXXXXXXXXXXXXXXXXXX                                                              
        2.00*10^ 2          8XXXXXXXXXXXXXXXXXXXXXXXXXXXXX5 7                                                           
        1.80*10^ 2          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4X56                                                         
        1.60*10^ 2          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 35                                                      
        1.40*10^ 2         6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XX                                                      
        1.20*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                                                     
        1.00*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6872                                                 
        0.80*10^ 2         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8X5251                                           
        0.60*10^ 2        2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX20                                         
        0.40*10^ 2        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX626                                      
        0.20*10^ 2      38XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X85934212121    1                  

          Contents                                                                                                      
            *10^ 2  0000000112222222222222333333344433222211111111100000000000000000000000000000000000000000000000000000
            *10^ 1  0000014393441212567879304659815751754286977345199987776764432311111110000000000000000000000000000000
            *10^ 0  0000554254007737089271050685567429451897301561727346905125113199895077843414300001000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       11682    Mean =  2.8997e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.1682e+04    Rms  =  1.2872e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:01       pT difference, SlowJet

        0.92*10^ 3                      9                                                                               
        0.88*10^ 3                      X                                                                               
        0.84*10^ 3                      X                                                                               
        0.80*10^ 3                      X                                                                               
        0.76*10^ 3                      X                                                                               
        0.72*10^ 3                      X                                                                               
        0.68*10^ 3                      X                                                                               
        0.64*10^ 3                      X                                                                               
        0.60*10^ 3                      X                                                                               
        0.56*10^ 3                      X                                                                               
        0.52*10^ 3                      X                                                                               
        0.48*10^ 3                      X                                                                               
        0.44*10^ 3                      X                                                                               
        0.40*10^ 3                      X                                                                               
        0.36*10^ 3                      X                                                                               
        0.32*10^ 3                      X                                                                               
        0.28*10^ 3                      X9                                                                              
        0.24*10^ 3                      XX                                                                              
        0.20*10^ 3                      XX8                                                                             
        0.16*10^ 3                      XXX3                                                                            
        0.12*10^ 3                      XXXX51                                                                          
        0.08*10^ 3                      XXXXXX7522    2                                                                 
        0.04*10^ 3                      XXXXXXXXXXX98XX85764664353535244444533353132211113111111111     1               

          Contents                                                                                                      
            *10^ 2  0000000000000000000092111000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000017930865444334431221221111111011111111111010000001000000000000000000000000000000
            *10^ 0  0000000000000000000046220568770500719925427294839977657940193528743520434223323110102111101010100101
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------                                                                                
            *10^ 2  1000000000000000000000000000000000000000111111111111111111112222222222222222222233333333333333333333
            *10^ 1  0998877665544332211000112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^ 0  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        2662    Mean =  4.4746e+01    Underflow =  0.0000e+00    Low edge  = -1.0000e+02
   All chan =  2.6560e+03    Rms  =  6.4630e+01    Overflow  =  6.0000e+00    High edge =  4.0000e+02


  2013-09-20 16:01       eT difference, CellJet

        1.08*10^ 3                      4                                                                               
        1.04*10^ 3                      X                                                                               
        1.00*10^ 3                      X                                                                               
        0.96*10^ 3                      X                                                                               
        0.92*10^ 3                      X                                                                               
        0.88*10^ 3                      X                                                                               
        0.84*10^ 3                      X                                                                               
        0.80*10^ 3                      X                                                                               
        0.76*10^ 3                      X                                                                               
        0.72*10^ 3                      X                                                                               
        0.68*10^ 3                      X                                                                               
        0.64*10^ 3                      X                                                                               
        0.60*10^ 3                      X                                                                               
        0.56*10^ 3                      X                                                                               
        0.52*10^ 3                      X                                                                               
        0.48*10^ 3                      X                                                                               
        0.44*10^ 3                      X                                                                               
        0.40*10^ 3                      X                                                                               
        0.36*10^ 3                      X1                                                                              
        0.32*10^ 3                      XX                                                                              
        0.28*10^ 3                      XX                                                                              
        0.24*10^ 3                      XX                                                                              
        0.20*10^ 3                      XX9                                                                             
        0.16*10^ 3                      XXX 1                                                                           
        0.12*10^ 3                      XXX9X                                                                           
        0.08*10^ 3                      XXXXXX86213                                                                     
        0.04*10^ 3                      XXXXXXXXXXX79XX9595555453344344534553334323221111111111111 11      1            

          Contents                                                                                                      
            *10^ 3  0000000000000000000010000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000000000000003111000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000052912876445233332321221111111112111211111010000000000000000000000000000000000000
            *10^ 0  0000000000000000000063543032632748840708107943552671159031351917764526652353231220101102011000110001

          Low edge  --------------------                                                                                
            *10^ 2  1000000000000000000000000000000000000000111111111111111111112222222222222222222233333333333333333333
            *10^ 1  0998877665544332211000112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^ 0  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        2869    Mean =  4.2130e+01    Underflow =  0.0000e+00    Low edge  = -1.0000e+02
   All chan =  2.8620e+03    Rms  =  6.3197e+01    Overflow  =  7.0000e+00    High edge =  4.0000e+02
pythia8-8.1.86.orig/examples/outref/out140000644000175000017500000003300712357054717016376 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:03:44    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 Begin subrun number 0 : HardQCD:gg2gg
 Cross section is 5.874e-01 and in Pythia6 was 4.960e-01,
 i.e. now is factor >>> 1.184 <<< different

 Begin subrun number 1 : HardQCD:gg2qqbar + HardQCD:gg2ccbar + HardQCD:gg2bbbar
 Cross section is 1.919e-02 and in Pythia6 was 1.627e-02,
 i.e. now is factor >>> 1.180 <<< different

 Begin subrun number 2 : HardQCD:qg2qg
 Cross section is 3.222e-01 and in Pythia6 was 2.790e-01,
 i.e. now is factor >>> 1.155 <<< different

 Begin subrun number 3 : HardQCD:qq2qq
 Cross section is 3.187e-02 and in Pythia6 was 2.800e-02,
 i.e. now is factor >>> 1.138 <<< different

 Begin subrun number 4 : HardQCD:qqbar2gg
 Cross section is 3.835e-04 and in Pythia6 was 3.310e-04,
 i.e. now is factor >>> 1.159 <<< different

 Begin subrun number 5 : HardQCD:qqbar2qqbarNew + HardQCD:qqbar2ccbar + HardQCD:qqbar2bbbar
 Cross section is 4.118e-04 and in Pythia6 was 3.653e-04,
 i.e. now is factor >>> 1.127 <<< different

 Begin subrun number 6 : PromptPhoton:qg2qgamma
 Cross section is 1.797e-04 and in Pythia6 was 1.697e-04,
 i.e. now is factor >>> 1.059 <<< different

 Begin subrun number 7 : PromptPhoton:qqbar2ggamma
 Cross section is 1.261e-05 and in Pythia6 was 1.163e-05,
 i.e. now is factor >>> 1.085 <<< different

 Begin subrun number 8 : PromptPhoton:gg2ggamma
 Cross section is 1.346e-07 and in Pythia6 was 1.065e-07,
 i.e. now is factor >>> 1.263 <<< different

 Begin subrun number 9 : PromptPhoton:ffbar2gammagamma
 Cross section is 8.390e-08 and in Pythia6 was 8.259e-08,
 i.e. now is factor >>> 1.016 <<< different

 Begin subrun number 10 : PromptPhoton:gg2gammagamma
 Cross section is 9.827e-08 and in Pythia6 was 8.237e-08,
 i.e. now is factor >>> 1.193 <<< different

 Begin subrun number 11 : WeakBosonExchange:ff2ff(t:gmZ)
 Cross section is 2.551e-05 and in Pythia6 was 2.544e-05,
 i.e. now is factor >>> 1.003 <<< different

 Begin subrun number 12 : WeakBosonExchange:ff2ff(t:W)
 Cross section is 5.354e-06 and in Pythia6 was 5.321e-06,
 i.e. now is factor >>> 1.006 <<< different

 Begin subrun number 13 : WeakSingleBoson:ffbar2gmZ
 Cross section is 5.639e-05 and in Pythia6 was 5.571e-05,
 i.e. now is factor >>> 1.012 <<< different

 Begin subrun number 14 : WeakSingleBoson:ffbar2W
 Cross section is 1.647e-04 and in Pythia6 was 1.621e-04,
 i.e. now is factor >>> 1.016 <<< different

 Begin subrun number 15 : WeakDoubleBoson:ffbar2gmZgmZ
 Cross section is 9.302e-09 and in Pythia6 was 9.039e-09,
 i.e. now is factor >>> 1.029 <<< different

 Begin subrun number 16 : WeakDoubleBoson:ffbar2ZW
 Cross section is 2.271e-08 and in Pythia6 was 2.247e-08,
 i.e. now is factor >>> 1.011 <<< different

 Begin subrun number 17 : WeakDoubleBoson:ffbar2WW
 Cross section is 6.121e-08 and in Pythia6 was 5.893e-08,
 i.e. now is factor >>> 1.039 <<< different

 Begin subrun number 18 : WeakBosonAndParton:qqbar2gmZg
 Cross section is 4.078e-06 and in Pythia6 was 3.781e-06,
 i.e. now is factor >>> 1.078 <<< different

 Begin subrun number 19 : WeakBosonAndParton:qg2gmZq
 Cross section is 1.193e-05 and in Pythia6 was 1.078e-05,
 i.e. now is factor >>> 1.106 <<< different

 Begin subrun number 20 : WeakBosonAndParton:ffbar2gmZgm
 Cross section is 4.760e-08 and in Pythia6 was 4.551e-08,
 i.e. now is factor >>> 1.046 <<< different

 Begin subrun number 21 : WeakBosonAndParton:qqbar2Wg
 Cross section is 1.098e-05 and in Pythia6 was 1.025e-05,
 i.e. now is factor >>> 1.071 <<< different

 Begin subrun number 22 : WeakBosonAndParton:qg2Wq
 Cross section is 3.438e-05 and in Pythia6 was 3.208e-05,
 i.e. now is factor >>> 1.072 <<< different

 Begin subrun number 23 : WeakBosonAndParton:ffbar2Wgm
 Cross section is 5.530e-08 and in Pythia6 was 5.435e-08,
 i.e. now is factor >>> 1.018 <<< different

 Begin subrun number 24 : Charmonium:all
 Cross section is 1.350e-04 and in Pythia6 was 1.038e-04,
 i.e. now is factor >>> 1.300 <<< different

 Begin subrun number 25 : Bottomonium:all
 Cross section is 4.690e-05 and in Pythia6 was 3.929e-05,
 i.e. now is factor >>> 1.194 <<< different

 Begin subrun number 26 : Top:gg2ttbar
 Cross section is 4.741e-07 and in Pythia6 was 4.155e-07,
 i.e. now is factor >>> 1.141 <<< different

 Begin subrun number 27 : Top:qqbar2ttbar
 Cross section is 7.393e-08 and in Pythia6 was 6.685e-08,
 i.e. now is factor >>> 1.106 <<< different

 Begin subrun number 28 : Top:qq2tq(t:W)
 Cross section is 2.043e-07 and in Pythia6 was 1.898e-07,
 i.e. now is factor >>> 1.076 <<< different

 Begin subrun number 29 : Top:ffbar2ttbar(s:gmZ)
 Cross section is 4.253e-10 and in Pythia6 was 4.240e-10,
 i.e. now is factor >>> 1.003 <<< different

 Begin subrun number 30 : Top:ffbar2tqbar(s:W)
 PYTHIA Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated  
 Cross section is 7.264e-09 and in Pythia6 was 7.142e-09,
 i.e. now is factor >>> 1.017 <<< different

 Begin subrun number 31 : HiggsSM:ffbar2H
 Cross section is 1.934e-10 and in Pythia6 was 1.547e-10,
 i.e. now is factor >>> 1.250 <<< different

 Begin subrun number 32 : HiggsSM:gg2H
 Cross section is 9.142e-09 and in Pythia6 was 7.064e-09,
 i.e. now is factor >>> 1.294 <<< different

 Begin subrun number 33 : HiggsSM:ffbar2HZ
 Cross section is 1.385e-10 and in Pythia6 was 1.316e-10,
 i.e. now is factor >>> 1.052 <<< different

 Begin subrun number 34 : HiggsSM:ffbar2HW
 Cross section is 2.479e-10 and in Pythia6 was 2.332e-10,
 i.e. now is factor >>> 1.063 <<< different

 Begin subrun number 35 : HiggsSM:ff2Hff(t:ZZ)
 Cross section is 5.132e-10 and in Pythia6 was 5.105e-10,
 i.e. now is factor >>> 1.005 <<< different

 Begin subrun number 36 : HiggsSM:ff2Hff(t:WW)
 Cross section is 1.319e-09 and in Pythia6 was 1.316e-09,
 i.e. now is factor >>> 1.002 <<< different

 Begin subrun number 37 : HiggsSM:qg2Hq
 Cross section is 5.799e-11 and in Pythia6 was 4.462e-11,
 i.e. now is factor >>> 1.300 <<< different

 Begin subrun number 38 : HiggsSM:gg2Hg(l:t)
 Cross section is 7.393e-09 and in Pythia6 was 5.557e-09,
 i.e. now is factor >>> 1.330 <<< different

 Begin subrun number 39 : HiggsSM:qg2Hq(l:t)
 Cross section is 2.544e-09 and in Pythia6 was 1.966e-09,
 i.e. now is factor >>> 1.294 <<< different

 Begin subrun number 40 : HiggsSM:qqbar2Hg(l:t)
 Cross section is 1.094e-11 and in Pythia6 was 8.725e-12,
 i.e. now is factor >>> 1.253 <<< different

 Begin subrun number 41 : HiggsBSM:allH1
 PYTHIA Warning in ParticleDataEntry::initBWmass: switching off width for id = 25
 Cross section is 3.230e-08 and in Pythia6 was 2.450e-08,
 i.e. now is factor >>> 1.318 <<< different

 Begin subrun number 42 : HiggsBSM:allH2
 Cross section is 6.934e-09 and in Pythia6 was 5.839e-09,
 i.e. now is factor >>> 1.188 <<< different

 Begin subrun number 43 : HiggsBSM:allA3
 Cross section is 2.125e-08 and in Pythia6 was 1.687e-08,
 i.e. now is factor >>> 1.260 <<< different

 Begin subrun number 44 : HiggsBSM:allH+-
 Cross section is 9.041e-11 and in Pythia6 was 8.950e-11,
 i.e. now is factor >>> 1.010 <<< different

 Begin subrun number 45 : HiggsBSM:allHpair
 Cross section is 4.254e-11 and in Pythia6 was 4.188e-11,
 i.e. now is factor >>> 1.016 <<< different

 Begin subrun number 46 : NewGaugeBoson:ffbar2gmZZprime
 Cross section is 2.000e-07 and in Pythia6 was 1.980e-07,
 i.e. now is factor >>> 1.010 <<< different

 Begin subrun number 47 : NewGaugeBoson:ffbar2Wprime
 Cross section is 4.570e-07 and in Pythia6 was 4.551e-07,
 i.e. now is factor >>> 1.004 <<< different

 Begin subrun number 48 : LeftRightSymmmetry:ffbar2ZR
 Cross section is 5.979e-09 and in Pythia6 was 6.005e-09,
 i.e. now is factor >>> 0.996 <<< different

 Begin subrun number 49 : LeftRightSymmmetry:ffbar2WR
 Cross section is 1.116e-07 and in Pythia6 was 1.102e-07,
 i.e. now is factor >>> 1.013 <<< different

 Begin subrun number 50 : LeftRightSymmmetry:ffbar2HLHL
 Cross section is 7.787e-11 and in Pythia6 was 7.784e-11,
 i.e. now is factor >>> 1.000 <<< different

 Begin subrun number 51 : LeftRightSymmmetry:ffbar2HRHR
 Cross section is 3.513e-11 and in Pythia6 was 3.488e-11,
 i.e. now is factor >>> 1.007 <<< different

 Begin subrun number 52 : LeptoQuark:all
 Cross section is 6.696e-08 and in Pythia6 was 6.006e-08,
 i.e. now is factor >>> 1.115 <<< different

 Begin subrun number 53 : ExcitedFermion:dg2dStar
 Cross section is 3.555e-06 and in Pythia6 was 3.235e-06,
 i.e. now is factor >>> 1.099 <<< different

 Begin subrun number 54 : ExcitedFermion:qq2dStarq
 Cross section is 1.841e-05 and in Pythia6 was 1.689e-05,
 i.e. now is factor >>> 1.090 <<< different

 Begin subrun number 55 : ExcitedFermion:qqbar2eStare
 Cross section is 5.791e-07 and in Pythia6 was 5.986e-07,
 i.e. now is factor >>> 0.967 <<< different

 Begin subrun number 56 : ExtraDimensionsG*:all
 Cross section is 3.102e-10 and in Pythia6 was 3.241e-10,
 i.e. now is factor >>> 0.957 <<< different
pythia8-8.1.86.orig/examples/outref/out130000644000175000017500000005622612357054717016405 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:03:41    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with pbar- at a CM energy of 1.960e+03 GeV         |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Les Houches User Process(es)                  9999 |   5.480e-09 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   40.89 mb               | 
 |                                                                  | 
 |    pT0 =  2.12 gives sigmaInteraction =  136.66 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:frameType                               |                        4 |            1           1           5 | 
 | Beams:LHEF                                    |                ttbar.lhe |         void                         | 
 | Init:showChangedParticleData                  |                      off |           on                         | 
 | Main:numberOfSubruns                          |                        2 |            0           0             | 
 | Main:subrun                                   |                        1 |         -999           0             | 
 | Main:timesAllowErrors                         |                        3 |           10           0             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberCount                              |                        0 |         1000           0             | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  LHA initialization information  ------------ 

  beam    kind      energy  pdfgrp  pdfset 
     A    2212     980.000       0       7
     B   -2212     980.000       0       7

  Event weighting strategy =  3

  Processes, with strategy-dependent cross section info 
  number      xsec (pb)      xerr (pb)      xmax (pb) 
      81     5.2201e+00     5.3841e-01     1.0000e+00
      82     2.6026e-01     1.0625e-01     1.0000e+00

 --------  End LHA initialization information  -------- 

 --------  LHA event information and listing  ---------------------------------------------------------------------- 

    process =       81    weight =   1.0000e+00     scale =   1.7331e+02 (GeV) 
                        alpha_em =   7.8198e-03    alpha_strong =   1.1567e-01

    Participating Particles 
    no        id stat     mothers     colours      p_x        p_y        p_z         e          m        tau    spin 
     1         2   -1     0     0   101     0      0.000      0.000    108.382    108.382      0.000   0.000   9.000
     2        -2   -1     0     0     0   102      0.000      0.000   -279.761    279.761      0.000   0.000   9.000
     3         6    2     1     2   101     0     33.629      8.912   -110.596    212.418    177.987   0.000   9.000
     4        -6    2     1     2     0   102    -33.629     -8.912    -60.783    175.725    161.166   0.000   9.000
     5        24    2     3     0     0     0    -30.885    -12.140     -4.785     86.623     79.871   0.000   9.000
     6         5    1     3     0   101     0     64.514     21.052   -105.811    125.794      4.800   0.000   9.000
     7       -24    2     4     0     0     0    -50.940     34.881    -75.292    126.217     80.315   0.000   9.000
     8        -5    1     4     0     0   102     17.311    -43.792     14.509     49.507      4.800   0.000   9.000
     9        -1    1     5     0     0   103     18.584      9.166     18.652     27.882      0.330   0.000   9.000
    10         2    1     5     0   103     0    -49.469    -21.306    -23.437     58.741      0.330   0.000   9.000
    11        13    1     7     0     0     0      9.691     39.074    -25.560     47.687      0.106   0.000   9.000
    12       -14    1     7     0     0     0    -60.632     -4.194    -49.732     78.530      0.000   0.000   9.000

     pdf: id1 =    2 id2 =   -2 x1 = 1.106e-01 x2 = 2.855e-01 scalePDF = 1.733e+02 pdf1 = 5.530e-01 pdf2 = 3.572e-01

 --------  End LHA event information and listing  ------------------------------------------------------------------ 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  9.800e+02, e =  9.800e+02, m =  9.383e-01.
 Beam B: id =  -2212, pz = -9.800e+02, e =  9.800e+02, m =  9.383e-01.

 In 1: id =    2, x =  1.106e-01, pdf =  5.530e-01 at Q2 =  3.004e+04.
 In 2: id =   -2, x =  2.855e-01, pdf =  3.572e-01 at same Q2.

 Process Les Houches User Process(es) with code 9999 is 2 -> 2.
 Subprocess user process 81 with code 81 is 2 -> 2.
 It has sHat =  1.213e+05,    tHat = -3.834e+04,    uHat = -2.529e+04,
       pTHat =  3.479e+01,   m3Hat =  1.780e+02,   m4Hat =  1.612e+02,
    thetaHat =  2.065e+00,  phiHat =  2.590e-01.
     alphaEM =  7.820e-03,  alphaS =  1.157e-01    at Q2 =  3.004e+04.

 Impact parameter b =  6.777e-01 gives enhancement factor =  1.623e+00.
 Max pT scale for MPI =  1.960e+03, ISR =  1.960e+03, FSR =  1.960e+03.
 Number of MPI =     6, ISR =    12, FSRproc =    46, FSRreson =    25.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0     4     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         2   (u)                -21     1     0     5     6   101     0      0.000      0.000    108.382    108.382      0.000
     4        -2   (ubar)             -21     2     0     5     6     0   102      0.000      0.000   -279.761    279.761      0.000
     5         6   (t)                -22     3     4     7     8   101     0     33.629      8.912   -110.596    212.418    177.987
     6        -6   (tbar)             -22     3     4     9    10     0   102    -33.629     -8.912    -60.783    175.725    161.166
     7        24   (W+)               -22     5     0    11    12     0     0    -30.885    -12.140     -4.785     86.623     79.871
     8         5   b                   23     5     0     0     0   101     0     64.514     21.052   -105.811    125.794      4.800
     9       -24   (W-)               -22     6     0    13    14     0     0    -50.940     34.881    -75.292    126.217     80.315
    10        -5   bbar                23     6     0     0     0     0   102     17.311    -43.792     14.509     49.507      4.800
    11        -1   dbar                23     7     0     0     0     0   103     18.584      9.166     18.652     27.882      0.330
    12         2   u                   23     7     0     0     0   103     0    -49.469    -21.306    -23.437     58.741      0.330
    13        13   mu-                 23     9     0     0     0     0     0      9.691     39.074    -25.560     47.687      0.106
    14       -14   nu_mubar            23     9     0     0     0     0     0    -60.632     -4.194    -49.732     78.530      0.000
                                   Charge sum:  0.000           Momentum sum:     -0.000      0.000   -171.379    388.143    348.258

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Abort from Pythia::next: reached end of Les Houches Events File  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | Les Houches User Process(es)                  9999 |         200        200        200 |   5.480e-09  5.488e-10 |
 |    ... whereof user classification code         81 |         192        192        192 |                        | 
 |    ... whereof user classification code         82 |           8          8          8 |                        | 
 |                                                    |                                   |                        |
 | sum                                                |         200        200        200 |   5.480e-09  5.488e-10 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      2   Abort from Pythia::next: reached end of Les Houches Events File                                        | 
 |      2   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      2   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      2   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |      1   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:03       charged particle multiplicity

        1.30*10^ 1                                   X                                                                  
        1.25*10^ 1                                   X                                                                  
        1.20*10^ 1                                   X                                                                  
        1.15*10^ 1                                   X                                                                  
        1.10*10^ 1                             X   X X                                                                  
        1.05*10^ 1                             X   X X                                                                  
        1.00*10^ 1                             X XXX X                                                                  
        0.95*10^ 1                             X XXX X                                                                  
        0.90*10^ 1                             X XXXXX      X                                                           
        0.85*10^ 1                             X XXXXX      X                                                           
        0.80*10^ 1                             XXXXXXX   X  XX                                                          
        0.75*10^ 1                             XXXXXXX   X  XX                                                          
        0.70*10^ 1                    X        XXXXXXX   XX XX                                                          
        0.65*10^ 1                    X        XXXXXXX   XX XX                                                          
        0.60*10^ 1                    X        XXXXXXX   XX XX   X                                                      
        0.55*10^ 1                    X        XXXXXXX   XX XX   X                                                      
        0.50*10^ 1                    X        XXXXXXXXX XXXXX   X                                                      
        0.45*10^ 1                    X        XXXXXXXXX XXXXX   X                                                      
        0.40*10^ 1                    X XX  XX XXXXXXXXX XXXXXX XXX X X                                                 
        0.35*10^ 1                    X XX  XX XXXXXXXXX XXXXXX XXX X X                                                 
        0.30*10^ 1                   XX XX XXX XXXXXXXXXXXXXXXX XXX X X X                                               
        0.25*10^ 1                   XX XX XXX XXXXXXXXXXXXXXXX XXX X X X                                               
        0.20*10^ 1                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX                                               
        0.15*10^ 1                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX                                               
        0.10*10^ 1          X    XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX  X X                   X                     
        0.05*10^ 1          X    XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX  X X                   X                     

          Contents                                                                                                      
            *10^ 1  0000000000000000000000000001011101000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000010000110137244234421800193553875984246424042310010100000000000000000001000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  1482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         200    Mean =  1.3612e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  2.0000e+02    Rms  =  3.9486e+01    Overflow  =  0.0000e+00    High edge =  3.9950e+02
pythia8-8.1.86.orig/examples/outref/out230000644000175000017500000024435412357054720016401 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:07:10    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   2.255e-01 |
 | g g -> q qbar (uds)                            112 |   2.395e-03 |
 | q g -> q g                                     113 |   1.265e-01 |
 | q q(bar)' -> q q(bar)'                         114 |   1.237e-02 |
 | q qbar -> g g                                  115 |   8.594e-05 |
 | q qbar -> q' qbar' (uds)                       116 |   2.341e-05 |
 | g g -> c cbar                                  121 |   7.920e-04 |
 | q qbar -> c cbar                               122 |   7.761e-06 |
 | g g -> b bbar                                  123 |   7.365e-04 |
 | q qbar -> b bbar                               124 |   7.389e-06 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:allowMomentumSpread                     |                       on |          off                         | 
 | Beams:allowVertexSpread                       |                       on |          off                         | 
 | Beams:frameType                               |                        3 |            1           1           5 | 
 | Beams:pxA                                     |                  1.00000 |          0.0                         | 
 | Beams:pxB                                     |                  1.00000 |          0.0                         | 
 | Beams:sigmaPxA                                |                  0.10000 |          0.0         0.0             | 
 | Beams:sigmaPxB                                |                  0.10000 |          0.0         0.0             | 
 | Beams:sigmaPyA                                |                  0.10000 |          0.0         0.0             | 
 | Beams:sigmaPyB                                |                  0.10000 |          0.0         0.0             | 
 | Beams:sigmaPzA                                |                  5.00000 |          0.0         0.0             | 
 | Beams:sigmaPzB                                |                  5.00000 |          0.0         0.0             | 
 | Beams:sigmaVertexX                            |                  0.30000 |          0.0         0.0             | 
 | Beams:sigmaVertexY                            |                  0.30000 |          0.0         0.0             | 
 | Beams:sigmaVertexZ                            |                 50.00000 |          0.0         0.0             | 
 | HardQCD:all                                   |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PartonLevel:all                               |                      off |           on                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                 20.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  6.997e+03, e =  6.997e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -6.997e+03, e =  6.997e+03, m =  9.383e-01.

 In 1: id =   21, x =  1.228e-02, pdf =  1.880e+00 at Q2 =  7.575e+02.
 In 2: id =    2, x =  9.239e-03, pdf =  1.406e-01 at same Q2.

 Subprocess q g -> q g with code 113 is 2 -> 2.
 It has sHat =  2.222e+04,    tHat = -7.852e+02,    uHat = -2.144e+04,
       pTHat =  2.752e+01,   m3Hat =  0.000e+00,   m4Hat =  3.300e-01,
    thetaHat =  3.782e-01,  phiHat =  1.152e-01.
     alphaEM =  7.713e-03,  alphaS =  1.682e-01    at Q2 =  7.575e+02.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      2.052      0.071     -3.177  13994.162  13994.162
     1      2212   (p+)               -12     0     0     3     0     0     0      1.033     -0.015   6995.493   6995.493      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      1.019      0.086  -6998.669   6998.670      0.938
     3        21   (g)                -21     1     0     5     6   102   101      0.013     -0.000     85.913     85.913      0.000
     4         2   (u)                -21     2     0     5     6   101     0      0.009      0.001    -64.662     64.662      0.000
     5        21   g                   23     3     4     0     0   102   103     27.353      3.162     80.592     85.166      0.000
     6         2   u                   23     3     4     0     0   103     0    -27.331     -3.162    -59.341     65.410      0.330
                                   Charge sum:  0.667           Momentum sum:      0.022      0.001     21.251    150.575    149.068

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 Pythia::next(): 1000 events have been generated 

 Pythia::next(): 2000 events have been generated 

 Pythia::next(): 3000 events have been generated 

 Pythia::next(): 4000 events have been generated 

 Pythia::next(): 5000 events have been generated 

 Pythia::next(): 6000 events have been generated 

 Pythia::next(): 7000 events have been generated 

 Pythia::next(): 8000 events have been generated 

 Pythia::next(): 9000 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |       41218       6167       6167 |   3.385e-02  2.310e-04 |
 | g g -> q qbar (uds)                            112 |         440         67         67 |   3.741e-04  2.391e-05 |
 | q g -> q g                                     113 |       23082       3359       3359 |   1.851e-02  1.696e-04 |
 | q q(bar)' -> q q(bar)'                         114 |        2228        352        352 |   2.006e-03  5.547e-05 |
 | q qbar -> g g                                  115 |          16          1          1 |   1.414e-05  1.414e-05 |
 | q qbar -> q' qbar' (uds)                       116 |           5          0          0 |   0.000e+00  0.000e+00 |
 | g g -> c cbar                                  121 |         145         21         21 |   1.262e-04  1.433e-05 |
 | q qbar -> c cbar                               122 |           3          1          1 |   1.278e-06  1.278e-06 |
 | g g -> b bbar                                  123 |         133         32         32 |   1.421e-04  1.410e-05 |
 | q qbar -> b bbar                               124 |           3          0          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |       67273      10000      10000 |   5.503e-02  2.939e-04 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      0   no errors or warnings to report                                                                        | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:07       center-of-mass energy deviation

        5.60*10^ 2                                                    5                                                 
        5.40*10^ 2                                                 6  X 1                                               
        5.20*10^ 2                                                 X1 X5X                                               
        5.00*10^ 2                                                6XXXXXX                                               
        4.80*10^ 2                                                XXXXXXX4                                              
        4.60*10^ 2                                               XXXXXXXXX7                                             
        4.40*10^ 2                                               XXXXXXXXXX                                             
        4.20*10^ 2                                               XXXXXXXXXX 1                                           
        4.00*10^ 2                                               XXXXXXXXXX9X                                           
        3.80*10^ 2                                            159XXXXXXXXXXXX                                           
        3.60*10^ 2                                            XXXXXXXXXXXXXXX                                           
        3.40*10^ 2                                            XXXXXXXXXXXXXXX5                                          
        3.20*10^ 2                                           3XXXXXXXXXXXXXXXX                                          
        3.00*10^ 2                                           XXXXXXXXXXXXXXXXX                                          
        2.80*10^ 2                                           XXXXXXXXXXXXXXXXX55                                        
        2.60*10^ 2                                           XXXXXXXXXXXXXXXXXXX                                        
        2.40*10^ 2                                          5XXXXXXXXXXXXXXXXXXX                                        
        2.20*10^ 2                                         4XXXXXXXXXXXXXXXXXXXX2                                       
        2.00*10^ 2                                         XXXXXXXXXXXXXXXXXXXXXX                                       
        1.80*10^ 2                                        9XXXXXXXXXXXXXXXXXXXXXX7                                      
        1.60*10^ 2                                        XXXXXXXXXXXXXXXXXXXXXXXX                                      
        1.40*10^ 2                                       2XXXXXXXXXXXXXXXXXXXXXXXX2                                     
        1.20*10^ 2                                       XXXXXXXXXXXXXXXXXXXXXXXXXX2                                    
        1.00*10^ 2                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                    
        0.80*10^ 2                                     9XXXXXXXXXXXXXXXXXXXXXXXXXXXX5                                   
        0.60*10^ 2                                   24XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX44                                 
        0.40*10^ 2                                 25XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                                
        0.20*10^ 2                             1336XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX85311                           

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000001112233334455455544343222111000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000001224470270306676930941265903770720744310000000000000000000000000000000
            *10^ 0  0000000000000000000000000002552395870588062980211990284810003445087669731000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  2111111111111111111111111100000000000000000000000000000000000000000000000001111111111111111111111111
            *10^ 0  0998887766655444332221100099888776665544433222110000011222334445566677888990001122233444556667788899
            *10^-1  0628406284062840628406284062840628406284062840628404826048260482604826048260482604826048260482604826

   Entries  =       10000    Mean = -5.8000e-03    Underflow =  0.0000e+00    Low edge  = -2.0000e+01
   All chan =  1.0000e+04    Rms  =  2.8836e+00    Overflow  =  0.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:07       net pX offset

        6.00*10^ 2                                                     5                                                
        5.80*10^ 2                                                     X                                                
        5.60*10^ 2                                                31435X                                                
        5.40*10^ 2                                                XXXXXX3                                               
        5.20*10^ 2                                                XXXXXXX4                                              
        5.00*10^ 2                                                XXXXXXXX                                              
        4.80*10^ 2                                                XXXXXXXXX                                             
        4.60*10^ 2                                              15XXXXXXXXX                                             
        4.40*10^ 2                                              XXXXXXXXXXX9                                            
        4.20*10^ 2                                              XXXXXXXXXXXX                                            
        4.00*10^ 2                                              XXXXXXXXXXXX                                            
        3.80*10^ 2                                             8XXXXXXXXXXXX                                            
        3.60*10^ 2                                             XXXXXXXXXXXXX4                                           
        3.40*10^ 2                                            5XXXXXXXXXXXXXX                                           
        3.20*10^ 2                                            XXXXXXXXXXXXXXX                                           
        3.00*10^ 2                                            XXXXXXXXXXXXXXX4                                          
        2.80*10^ 2                                            XXXXXXXXXXXXXXXX7                                         
        2.60*10^ 2                                           8XXXXXXXXXXXXXXXXX                                         
        2.40*10^ 2                                          3XXXXXXXXXXXXXXXXXX7                                        
        2.20*10^ 2                                          XXXXXXXXXXXXXXXXXXXX                                        
        2.00*10^ 2                                          XXXXXXXXXXXXXXXXXXXX                                        
        1.80*10^ 2                                        32XXXXXXXXXXXXXXXXXXXXX                                       
        1.60*10^ 2                                        XXXXXXXXXXXXXXXXXXXXXXX                                       
        1.40*10^ 2                                       5XXXXXXXXXXXXXXXXXXXXXXX42                                     
        1.20*10^ 2                                       XXXXXXXXXXXXXXXXXXXXXXXXXX                                     
        1.00*10^ 2                                      7XXXXXXXXXXXXXXXXXXXXXXXXXX                                     
        0.80*10^ 2                                     5XXXXXXXXXXXXXXXXXXXXXXXXXXX70                                   
        0.60*10^ 2                                    7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                   
        0.40*10^ 2                                  17XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X6                                
        0.20*10^ 2                       111  133388XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX633111  1                      

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000111223344555555554432221110000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000001123579366252745444458207348738227634321000000000000000000000000000000
            *10^ 0  0000000000000000000001110036665523304064569520528609579888330843180102751130020000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean = -2.1280e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+00
   All chan =  1.0000e+04    Rms  =  1.3987e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       net pY offset

        6.00*10^ 2                                                    3                                                 
        5.80*10^ 2                                                    X                                                 
        5.60*10^ 2                                                1   X                                                 
        5.40*10^ 2                                                X 19X7X                                               
        5.20*10^ 2                                                X5XXXXX                                               
        5.00*10^ 2                                                XXXXXXX4                                              
        4.80*10^ 2                                                XXXXXXXX5                                             
        4.60*10^ 2                                              26XXXXXXXXX                                             
        4.40*10^ 2                                              XXXXXXXXXXX5                                            
        4.20*10^ 2                                              XXXXXXXXXXXX                                            
        4.00*10^ 2                                              XXXXXXXXXXXX                                            
        3.80*10^ 2                                              XXXXXXXXXXXX8                                           
        3.60*10^ 2                                             8XXXXXXXXXXXXX                                           
        3.40*10^ 2                                            5XXXXXXXXXXXXXX4                                          
        3.20*10^ 2                                            XXXXXXXXXXXXXXXX                                          
        3.00*10^ 2                                            XXXXXXXXXXXXXXXX                                          
        2.80*10^ 2                                            XXXXXXXXXXXXXXXX8                                         
        2.60*10^ 2                                           7XXXXXXXXXXXXXXXXX                                         
        2.40*10^ 2                                          1XXXXXXXXXXXXXXXXXX                                         
        2.20*10^ 2                                          XXXXXXXXXXXXXXXXXXX71                                       
        2.00*10^ 2                                          XXXXXXXXXXXXXXXXXXXXX                                       
        1.80*10^ 2                                         XXXXXXXXXXXXXXXXXXXXXX                                       
        1.60*10^ 2                                        7XXXXXXXXXXXXXXXXXXXXXXX                                      
        1.40*10^ 2                                        XXXXXXXXXXXXXXXXXXXXXXXX                                      
        1.20*10^ 2                                       0XXXXXXXXXXXXXXXXXXXXXXXXX7                                    
        1.00*10^ 2                                      8XXXXXXXXXXXXXXXXXXXXXXXXXXX                                    
        0.80*10^ 2                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX9                                   
        0.60*10^ 2                                    4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                                  
        0.40*10^ 2                                 152XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX262                               
        0.20*10^ 2                           111529XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6651 1      1                  

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000111223344555555544433222111000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000001232469058253545412383386372710521752321110000000000000000000000000000
            *10^ 0  0000000000000000000000000122948105807130230643202854989058642903754131201020000001000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean =  2.6600e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+00
   All chan =  1.0000e+04    Rms  =  1.4156e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       net pZ offset

        3.00*10^ 2                                                       2                                              
        2.90*10^ 2                                                  7 1 6X                                              
        2.80*10^ 2                                                  X X XX                                              
        2.70*10^ 2                                            1 1   X5X XX 7                                            
        2.60*10^ 2                                            X X   XXX XX X                                            
        2.50*10^ 2                                            X X  XXXX5XX X                                            
        2.40*10^ 2                                            X X6XXXXXXXX X                                            
        2.30*10^ 2                                         46 X4XXXXXXXXXX X32                                          
        2.20*10^ 2                                       9 XX XXXXXXXXXXXX XXX642                                       
        2.10*10^ 2                                       X XXXXXXXXXXXXXXX6XXXXXX44                                     
        2.00*10^ 2                                      2X XXXXXXXXXXXXXXXXXXXXXXXX                                     
        1.90*10^ 2                                      XX2XXXXXXXXXXXXXXXXXXXXXXXX6                                    
        1.80*10^ 2                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                    
        1.70*10^ 2                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX7 2                                 
        1.60*10^ 2                                    87XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
        1.50*10^ 2                                   9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                                
        1.40*10^ 2                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                
        1.30*10^ 2                               8 3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                
        1.20*10^ 2                               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX87 4                            
        1.10*10^ 2                               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X                            
        1.00*10^ 2                            3 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X                            
        0.90*10^ 2                            X1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                           
        0.80*10^ 2                           6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                          
        0.70*10^ 2                         5 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX72                        
        0.60*10^ 2                         X5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1                       
        0.50*10^ 2                      5 7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                      
        0.40*10^ 2                     2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9 31                  
        0.30*10^ 2                   68XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6                 
        0.20*10^ 2             2 1 59XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX94  8            
        0.10*10^ 2    11  23227X8X7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX88X45322 2     

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000111111111212222222222222222222222221111111010000000000000000000000000000
            *10^ 1  0000000000010101122344465798022244559182216263458684890622111008666411918766543333211001000000000000
            *10^ 0  0011002322728175968250755631080309872924601416007515626732642446702587944772159031694888453220200000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean = -3.3840e-02    Underflow =  0.0000e+00    Low edge  = -1.0000e+01
   All chan =  1.0000e+04    Rms  =  2.8985e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:07       individual abs(pZ) offset

        8.40*10^ 2                                                    8                                                 
        8.10*10^ 2                                                   1X                                                 
        7.80*10^ 2                                                   XX                                                 
        7.50*10^ 2                                                  6XX1                                                
        7.20*10^ 2                                                 XXXXX5                                               
        6.90*10^ 2                                                 XXXXXX541                                            
        6.60*10^ 2                                              648XXXXXXXXX                                            
        6.30*10^ 2                                             4XXXXXXXXXXXX                                            
        6.00*10^ 2                                             XXXXXXXXXXXXX2                                           
        5.70*10^ 2                                           27XXXXXXXXXXXXXX 1                                         
        5.40*10^ 2                                           XXXXXXXXXXXXXXXX2X                                         
        5.10*10^ 2                                           XXXXXXXXXXXXXXXXXX 7                                       
        4.80*10^ 2                                          XXXXXXXXXXXXXXXXXXX6X3                                      
        4.50*10^ 2                                         9XXXXXXXXXXXXXXXXXXXXXX                                      
        4.20*10^ 2                                       96XXXXXXXXXXXXXXXXXXXXXXX3                                     
        3.90*10^ 2                                      7XXXXXXXXXXXXXXXXXXXXXXXXXX1                                    
        3.60*10^ 2                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                    
        3.30*10^ 2                                    57XXXXXXXXXXXXXXXXXXXXXXXXXXXX76                                  
        3.00*10^ 2                                   7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
        2.70*10^ 2                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                                 
        2.40*10^ 2                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                                
        2.10*10^ 2                                 9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX72                              
        1.80*10^ 2                                3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2                             
        1.50*10^ 2                              36XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                             
        1.20*10^ 2                             1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                            
        0.90*10^ 2                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                           
        0.60*10^ 2                            4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                          
        0.30*10^ 2                           4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6                         

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000111222333444455666677787766655545433332221110000000000000000000000000000
            *10^ 1  0000000000000000000000000149335039128104846144513832077671460596216208517410000000000000000000000000
            *10^ 0  0000000000000000000000000334079692521877152183597333442277482983277625620280000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       20000    Mean = -3.8200e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+01
   All chan =  2.0000e+04    Rms  =  2.0437e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:07       vertex x position

        2.90*10^ 2                                                  7                                                   
        2.80*10^ 2                                                X5X3  3                                               
        2.70*10^ 2                                             6 XXXXX  X                                               
        2.60*10^ 2                                             X XXXXX3 X3                                              
        2.50*10^ 2                                             X XXXXXX1XX7                                             
        2.40*10^ 2                                           3 X XXXXXXXXXX 2                                           
        2.30*10^ 2                                          8X X6XXXXXXXXXX7X962                                        
        2.20*10^ 2                                          XX XXXXXXXXXXXXXXXXX   4                                    
        2.10*10^ 2                                         XXXXXXXXXXXXXXXXXXXXX 4 X                                    
        2.00*10^ 2                                         XXXXXXXXXXXXXXXXXXXXX3X X                                    
        1.90*10^ 2                                         XXXXXXXXXXXXXXXXXXXXXXX6X                                    
        1.80*10^ 2                                      424XXXXXXXXXXXXXXXXXXXXXXXXX                                    
        1.70*10^ 2                                    22XXXXXXXXXXXXXXXXXXXXXXXXXXXX 8                                  
        1.60*10^ 2                                   1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X3                                 
        1.50*10^ 2                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX                                 
        1.40*10^ 2                                  1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8XX 1                               
        1.30*10^ 2                                5 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X                               
        1.20*10^ 2                                X8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                               
        1.10*10^ 2                              19XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2X 2                           
        1.00*10^ 2                              XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X                           
        0.90*10^ 2                              XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X4                          
        0.80*10^ 2                           254XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6                         
        0.70*10^ 2                          3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                         
        0.60*10^ 2                        6 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2 3                      
        0.50*10^ 2                       XX9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X68                    
        0.40*10^ 2                   1  7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                   
        0.30*10^ 2                  4X94XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX57X                
        0.20*10^ 2              X936XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2173            
        0.10*10^ 2  41 443345699XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX869835362 3 

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000111111111112222222222222222222221212111111101000000000000000000000000000
            *10^ 1  0000000000002111232235546777002135667771231627878754754232229081365230180875454432231111000000000000
            *10^ 0  4104433456990936419470693254195811224240830660057331337729623464883912092462736845702173869835362030
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean =  3.5532e-04    Underflow =  6.0000e+00    Low edge  = -1.0000e+00
   All chan =  9.9910e+03    Rms  =  3.0013e-01    Overflow  =  3.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       vertex y position

        2.90*10^ 2                                                    3                                                 
        2.80*10^ 2                                                   7X                                                 
        2.70*10^ 2                                                   XX 9  9                                            
        2.60*10^ 2                                                 3XXXXX4 X7                                           
        2.50*10^ 2                                             24 4XXXXXXX XX9                                          
        2.40*10^ 2                                           X1XX9XXXXXXXX XXX                                          
        2.30*10^ 2                                          3XXXXXXXXXXXXX9XXX 6                                        
        2.20*10^ 2                                          XXXXXXXXXXXXXXXXXX X                                        
        2.10*10^ 2                                       2 5XXXXXXXXXXXXXXXXXX7X  6                                     
        2.00*10^ 2                                       X XXXXXXXXXXXXXXXXXXXXX9 X2                                    
        1.90*10^ 2                                     7 X4XXXXXXXXXXXXXXXXXXXXXX XX 5                                  
        1.80*10^ 2                                     X XXXXXXXXXXXXXXXXXXXXXXXXXXX X                                  
        1.70*10^ 2                                   8 X3XXXXXXXXXXXXXXXXXXXXXXXXXXX X                                  
        1.60*10^ 2                                   X XXXXXXXXXXXXXXXXXXXXXXXXXXXXX1X                                  
        1.50*10^ 2                                   X2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
        1.40*10^ 2                                  3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                                 
        1.30*10^ 2                                 2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                                
        1.20*10^ 2                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX51                              
        1.10*10^ 2                                2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX67                            
        1.00*10^ 2                             698XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                            
        0.90*10^ 2                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9  3                        
        0.80*10^ 2                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX67X                        
        0.70*10^ 2                         2695XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2                       
        0.60*10^ 2                         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                       
        0.50*10^ 2                       85XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX24 2                   
        0.40*10^ 2                     88XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3X1                  
        0.30*10^ 2                    8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                 
        0.20*10^ 2               45749XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX856 1            
        0.10*10^ 2   22233345678XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4X776548121512

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000001111111212222222222222222222221121111111110000000000000000000000000000
            *10^ 1  0000000000001111112334466669990236486080243443456786652654029809583211008778644343211101000000000000
            *10^ 0  0222333456780457498888526956982238273245301249430730949979769062159951679673224321985641776548121512
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-2  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean =  2.7094e-03    Underflow =  3.0000e+00    Low edge  = -1.0000e+00
   All chan =  9.9910e+03    Rms  =  2.9668e-01    Overflow  =  6.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       vertex z position

        4.05*10^ 2                                                   1 5                                                
        3.90*10^ 2                                                   X X                                                
        3.75*10^ 2                                                 3 X X48                                              
        3.60*10^ 2                                                 X8X7XXX                                              
        3.45*10^ 2                                              6 3XXXXXXX                                              
        3.30*10^ 2                                              X2XXXXXXXX 26                                           
        3.15*10^ 2                                             1XXXXXXXXXX7XX                                           
        3.00*10^ 2                                             XXXXXXXXXXXXXX                                           
        2.85*10^ 2                                             XXXXXXXXXXXXXX 1                                         
        2.70*10^ 2                                           13XXXXXXXXXXXXXX7X                                         
        2.55*10^ 2                                         9 XXXXXXXXXXXXXXXXXX3                                        
        2.40*10^ 2                                        4X XXXXXXXXXXXXXXXXXXX9                                       
        2.25*10^ 2                                       6XX7XXXXXXXXXXXXXXXXXXXX                                       
        2.10*10^ 2                                       XXXXXXXXXXXXXXXXXXXXXXXX7                                      
        1.95*10^ 2                                       XXXXXXXXXXXXXXXXXXXXXXXXX8                                     
        1.80*10^ 2                                      9XXXXXXXXXXXXXXXXXXXXXXXXXX46                                   
        1.65*10^ 2                                   355XXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                   
        1.50*10^ 2                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
        1.35*10^ 2                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
        1.20*10^ 2                                 83XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX891                               
        1.05*10^ 2                                 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                              
        0.90*10^ 2                               5 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                              
        0.75*10^ 2                               X9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                             
        0.60*10^ 2                             53XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                            
        0.45*10^ 2                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                           
        0.30*10^ 2                            5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1                          
        0.15*10^ 2                           4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                         

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000111111222222333333333333332222211111110000000000000000000000000000000
            *10^ 1  0000000000000000000000000025587105557135255031365959671126743097751109754100000000000000000000000000
            *10^ 0  0000000000000000000000000623034795789914169198557268620846149621407968272660000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 2  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^ 0  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean = -1.6920e-01    Underflow =  0.0000e+00    Low edge  = -1.0000e+02
   All chan =  1.0000e+04    Rms  =  2.0433e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:07       vertex time

        4.05*10^ 2                                                   X 2                                                
        3.90*10^ 2                                                   X5X4                                               
        3.75*10^ 2                                                  7XXXX                                               
        3.60*10^ 2                                                7 XXXXXX                                              
        3.45*10^ 2                                                X9XXXXXX                                              
        3.30*10^ 2                                              53XXXXXXXX 1                                            
        3.15*10^ 2                                             3XXXXXXXXXX5X                                            
        3.00*10^ 2                                             XXXXXXXXXXXXX16                                          
        2.85*10^ 2                                           8 XXXXXXXXXXXXXXX                                          
        2.70*10^ 2                                           X4XXXXXXXXXXXXXXX4                                         
        2.55*10^ 2                                           XXXXXXXXXXXXXXXXXX                                         
        2.40*10^ 2                                         4XXXXXXXXXXXXXXXXXXX2                                        
        2.25*10^ 2                                       33XXXXXXXXXXXXXXXXXXXXX7                                       
        2.10*10^ 2                                       XXXXXXXXXXXXXXXXXXXXXXXX87                                     
        1.95*10^ 2                                       XXXXXXXXXXXXXXXXXXXXXXXXXX51                                   
        1.80*10^ 2                                     5 XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                   
        1.65*10^ 2                                     X9XXXXXXXXXXXXXXXXXXXXXXXXXXXX7                                  
        1.50*10^ 2                                    5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
        1.35*10^ 2                                  59XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                                 
        1.20*10^ 2                                5 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                                
        1.05*10^ 2                                X9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                               
        0.90*10^ 2                                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                              
        0.75*10^ 2                                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX77                            
        0.60*10^ 2                              3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                            
        0.45*10^ 2                             6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2                           
        0.30*10^ 2                            5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                          
        0.15*10^ 2                           4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                         

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000001111111222222333333433333322222221111100000000000000000000000000000000
            *10^ 1  0000000000000000000000000023561023476113486022547089860189622008863198773200000000000000000000000000
            *10^ 0  0000000000000000000000000629003374233451021520630533108674180768101069013650000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 2  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^ 0  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       10000    Mean = -9.0000e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+02
   All chan =  1.0000e+04    Rms  =  2.0365e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:07       vertex |x| + |t|

        4.20*10^ 2                                                   1                                                  
        4.05*10^ 2                                                   X                                                  
        3.90*10^ 2                                                  8X                                                  
        3.75*10^ 2                                              9 97XX                                                  
        3.60*10^ 2                                            2 X9XXXX                                                  
        3.45*10^ 2                                          63X3XXXXXX                                                  
        3.30*10^ 2                                      1   XXXXXXXXXX                                                  
        3.15*10^ 2                                      X   XXXXXXXXXX                                                  
        3.00*10^ 2                                      X379XXXXXXXXXX                                                  
        2.85*10^ 2                                    76XXXXXXXXXXXXXX                                                  
        2.70*10^ 2                               1 8  XXXXXXXXXXXXXXXX                                                  
        2.55*10^ 2                               X7X  XXXXXXXXXXXXXXXX                                                  
        2.40*10^ 2                              9XXXX8XXXXXXXXXXXXXXXX                                                  
        2.25*10^ 2                             6XXXXXXXXXXXXXXXXXXXXXX                                                  
        2.10*10^ 2                           13XXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.95*10^ 2                        54 XXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.80*10^ 2                      8 XX3XXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.65*10^ 2                  1  9X7XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.50*10^ 2                 2X7 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.35*10^ 2                 XXX7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.20*10^ 2              X45XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        1.05*10^ 2              XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        0.90*10^ 2           57 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        0.75*10^ 2        1 4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        0.60*10^ 2        X7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        0.45*10^ 2      57XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        0.30*10^ 2     9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  
        0.15*10^ 2  196XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                  

          Contents                                                                                                      
            *10^ 2  0000000000001111111111111112222222223222333333333400000000000000000000000000000000000000000000000000
            *10^ 1  0102346568872113543676887991355643871899334375778000000000000000000000000000000000000000000000000000
            *10^ 0  2499702663650128251470860799861707096959948538317700000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10000    Mean =  3.3302e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+04    Rms  =  1.1810e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:07       standard random number distribution

       10.64*10^ 2                                                 8                                                    
       10.60*10^ 2                                                 X                                                    
       10.56*10^ 2                                    3            X              3                               3     
       10.52*10^ 2                                    X            X              X                               X     
       10.48*10^ 2                                    X           XX              X                               X   5 
       10.44*10^ 2                         X    8     X           XX              X                               X   X 
       10.40*10^ 2                         X    X     X           XX              X             X                 X   X 
       10.36*10^ 2   5          5          X    X     X    X      XX              X         X   X 3               X   X 
       10.32*10^ 2   X          X        5 X    X  X  X X  X      XX              X       X X   X X            5  X   X 
       10.28*10^ 2   X          X        X X    XX X  X X  X      XX       5      X       XXX   X X            X  X   X 
       10.24*10^ 2   X          X        X X    XX X  X X  X      XX       X      X       XXX   X X8           X  X 5 X5
       10.20*10^ 2   X       3  X  5     X X    XX X 5X X  X      XX       X X    X       XXX  3X XX           X  X X XX
       10.16*10^ 2  3X       X  X  X     X X   8XX8X XX X  X      XX3      X X   3X       XXX  XX XX8          X  X X5XX
       10.12*10^ 2  XX       X  X  X 3   X X   XXXXX XX X  X      XXX      X8X   XX       XXX8 XX XXX5      5  X  X XXXX
       10.08*10^ 2  XX       X  X  X X   X X   XXXXX XX X  X   35 XXX      XXX   XX  3    XXXX XX XXXX8     X  X  X XXXX
       10.04*10^ 2  XX3      X  X  X X   X X   XXXXX XX X  X   XX XXX      XXX   XX  X    XXXX XX XXXXX3  X X3 X  X XXXX
       10.00*10^ 2  XXX    X X  X  X X   X X3  XXXXX XX X  X   XX XXX      XXX   XX  X    XXXX XXXXXXXXX  X XX X  X XXXX
        9.96*10^ 2  XXX    X X  X  X X   X5XX  XXXXX XX X  X  5XX XXX      XXX   XX  X    XXXXXXXXXXXXXX  X XX X  XXXXXX
        9.92*10^ 2  XXX  X3X X  X  X X   XXXX  XXXXX XX X  X  XXX XXX      XXX5  XX 8X    XXXXXXXXXXXXXX  X8XX X  XXXXXX
        9.88*10^ 2  XXX  XXX X  X  X X   XXXX  XXXXX3XX X  X  XXX XXX      XXXX  XX XX    XXXXXXXXXXXXXX58XXXX X3 XXXXXX
        9.84*10^ 2  XXX  XXX5X  X  X X   XXXX  XXXXXXXX X  X  XXX XXX      XXXX 8XX XX  58XXXXXXXXXXXXXXXXXXXX XX XXXXXX
        9.80*10^ 2  XXX  XXXXX XXX X X X XXXX53XXXXXXXX X  X XXXX XXX  8   XXXX XXX XX  XXXXXXXXXXXXXXXXXXXXXX XX XXXXXX
        9.76*10^ 2  XXX  XXXXX XXX X X X XXXXXXXXXXXXXX X  X XXXXXXXX5 X 5 XXXX XXX XX 8XXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
        9.72*10^ 2  XXX  XXXXX8XXX X X X XXXXXXXXXXXXXX X  X XXXXXXXXX X XXXXXXXXXX XX XXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
        9.68*10^ 2  XXX 5XXXXXXXXX X X X XXXXXXXXXXXXXX X  X XXXXXXXXX X XXXXXXXXXX XX XXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
        9.64*10^ 2  XXX XXXXXXXXXX XXX X XXXXXXXXXXXXXX5XX XXXXXXXXXXX X XXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
        9.60*10^ 2  XXX XXXXXXXXXX XXX X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXX
        9.56*10^ 2  XXXXXXXXXXXXXX XXX X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5XXXXXXXXX
        9.52*10^ 2  XXXXXXXXXXXXXX XXX3X8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        9.48*10^ 2  XXXXXXXXXXXXXX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        9.44*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 3  1110000101001001010001010001111101101001000110111000000111000110010000111101111111110010110100101111
            *10^ 2  0009999090990990909990909990000090090990999009000999999000999009909999000090000000009909009099090000
            *10^ 1  1305698081783841604853949771421381563663689007461767477212978156906788323191403211008809105387592142
            *10^ 0  3416629027104058499010447875385258322406404566833409442610023330154523286167003350716741014056362462

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      100000    Mean =  5.0146e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+05    Rms  =  2.8882e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       standard random number correlation

        2.00*10^ 3  746                                                                                                 
        1.92*10^ 3  XXXXX55   1                                                                                         
        1.84*10^ 3  XXXXXXXX74X                                                                                         
        1.76*10^ 3  XXXXXXXXXXX636                                                                                      
        1.68*10^ 3  XXXXXXXXXXXXXX9X669                                                                                 
        1.60*10^ 3  XXXXXXXXXXXXXXXXXXX47582                                                                            
        1.52*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXX311 2                                                                       
        1.44*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXX4X43121                                                                  
        1.36*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                                                                 
        1.28*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX667                                                             
        1.20*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9695 1                                                       
        1.12*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X2371 1                                                 
        1.04*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1X                                                 
        0.96*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX64863 4                                          
        0.88*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6X47                                        
        0.80*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX494263                                  
        0.72*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                                 
        0.64*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX939611                           
        0.56*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX53  0                      
        0.48*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX88X 2                    
        0.40*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX98532               
        0.32*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7733           
        0.24*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX32         
        0.16*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX99833    
        0.08*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9552

          Contents                                                                                                      
            *10^ 3  1111111111111111111111111111111111111111111111111010000000000000000000000000000000000000000000000000
            *10^ 2  9999988887877766666555554443433333322221111010000909999989887777776656655554443433333222211111110000
            *10^ 1  7562187419420267546576836459598677484559796925694752142041355943646382176206689188543996687544007331
            *10^ 0  3183818230886697279182146814835552308155130977125108365491293184657179015433548496967582136292655798

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      100000    Mean =  3.3483e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+05    Rms  =  2.3638e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       stupid random number distribution

       10.70*10^ 2                                     6                                                                
       10.65*10^ 2                                     X                                                                
       10.60*10^ 2        4                            X                                                                
       10.55*10^ 2        X                      8   2 X                                                                
       10.50*10^ 2        X               6      X   X X      6                               X                       X 
       10.45*10^ 2     X  X               X      X   X X      X                               X                       X 
       10.40*10^ 2     X  X               X 8    X   X X      X                               X                       X 
       10.35*10^ 2     X  X            2 XX X4   X   X X      X          X               X    X  4                    X 
       10.30*10^ 2     X  X        8  4X XX XX   X   X X      X 4        X           6   X8   X  X       2 8  6    2  X 
       10.25*10^ 2     X  X        X  XX XX XX   X   X X 2   2X X        X           X   XX  6X  X       X X  X    X  X 
       10.20*10^ 2     X  X        X  XX XX XX 8 X   X X X   XX X4       X           X   XX  XX  X    X  X4X 2XX   X  X 
       10.15*10^ 2     X  X        XX4XX XX XX X X2  X X X   XX XX 6     X           X   XX  XX  X    X  XXX XXX   X  X 
       10.10*10^ 2     X  X   X    XXXXX XX XX X XX  X X X   XX XX X    6X           X   XX  XX6 X    XX XXX XXX   X  X 
       10.05*10^ 2     X  X 6 X    XXXXXXXX XX X XX  X X X   XX XX X    XX  X  6  4  X2 8XX  XXX X2 2 XX XXX XXX   X 4X 
       10.00*10^ 2     X  X X X    XXXXXXXX XX X XX  X X X   XX XX X    XX 4X  X  X XXX XXX  XXX XX X XX XXX XXX 4 X XX 
        9.95*10^ 2  2 8X  X X4X8 2 XXXXXXXXXXX X XX  X X X  4XX XX X  X XX XX  X  X XXX XXX  XXX XX X XX XXX XXX X X2XX 
        9.90*10^ 2  X XX64X XXXX X XXXXXXXXXXX X XX  X X X2 XXXXXX X  X XX2XX  X  X XXX XXX  XXX XX2X XXXXXX XXX X XXXX 
        9.85*10^ 2  X XXXXX XXXX X XXXXXXXXXXX X4XX  X6X XX XXXXXX X  X XXXXX  X4 X XXX XXX  XXX XXXX XXXXXX XXX X XXXX 
        9.80*10^ 2  X XXXXX XXXX8X XXXXXXXXXXX XXXX  XXX XX XXXXXX8X  X XXXXX  XX X XXX XXX8 XXX XXXX XXXXXX XXX X6XXXX 
        9.75*10^ 2  X XXXXX XXXXXX8XXXXXXXXXXX XXXX  XXX XX XXXXXXXX  X XXXXX  XX X XXX XXXX XXX XXXX XXXXXX XXX XXXXXX 
        9.70*10^ 2  X XXXXX XXXXXXXXXXXXXXXXXX XXXX  XXX XX XXXXXXXX  X XXXXX  XX X4XXX XXXX XXX8XXXX XXXXXX4XXX XXXXXX 
        9.65*10^ 2  X XXXXX XXXXXXXXXXXXXXXXXX XXXX  XXX8XX XXXXXXXX 8X XXXXX2 XXXXXXXX8XXXX XXXXXXXX XXXXXXXXXX XXXXXX 
        9.60*10^ 2  X4XXXXX XXXXXXXXXXXXXXXXXX XXXX2XXXXXXX XXXXXXXX XX XXXXXX XXXXXXXXXXXXX XXXXXXXX XXXXXXXXXX6XXXXXX 
        9.55*10^ 2  XXXXXXX6XXXXXXXXXXXXXXXXXX XXXXXXXXXXXX4XXXXXXXX6XX XXXXXX4XXXXXXXXXXXXX XXXXXXXX XXXXXXXXXXXXXXXXXX
        9.50*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXX
        9.45*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXX
        9.40*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXX6XXXXXXXXXXXXXXXXXXXXXXXX8XXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXX
        9.35*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2XXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 3  0001001010100001111111101101011001010100011011010000110010010010111011100111011010110111011100010110
            *10^ 2  9990990909099990000000090090900990909099900900909999009909909909000900099000900909009000900099909009
            *10^ 1  9594885509197972112303493331851565866285924921715693038906508606020603273250630805219212612259729055
            *10^ 0  1745877332049149527155859289241601384162218077933459856751232527081445991308921610000679768087861205

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      100000    Mean =  4.9964e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+05    Rms  =  2.8886e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:07       stupid random number correlation

        2.08*10^ 3  9                                                                                                   
        2.00*10^ 3  X8 33                                                                                               
        1.92*10^ 3  XX9XX43                                                                                             
        1.84*10^ 3  XXXXXXX864  4                                                                                       
        1.76*10^ 3  XXXXXXXXXXX X3535 1                                                                                 
        1.68*10^ 3  XXXXXXXXXXXXXXXXX5X733                                                                              
        1.60*10^ 3  XXXXXXXXXXXXXXXXXXXXXX8 6                                                                           
        1.52*10^ 3  XXXXXXXXXXXXXXXXXXXXXXX8X9                                                                          
        1.44*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXX7X98                                                                      
        1.36*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX38631                                                                
        1.28*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX235 21                                                         
        1.20*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6XX2                                                        
        1.12*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8222                                                    
        1.04*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7215                                                
        0.96*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX82                                             
        0.88*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX97 418                                       
        0.80*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8XXX9                                      
        0.72*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7968  1                               
        0.64*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X7722                           
        0.56*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX652                        
        0.48*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9614                    
        0.40*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX44                 
        0.32*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX97644            
        0.24*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8561        
        0.16*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX531    
        0.08*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX531

          Contents                                                                                                      
            *10^ 3  2111111111111111111111111111111111111111111111111000000000000000000000000000000000000000000000000000
            *10^ 2  0999988887767777766666555544443333322222122110000999998887888767676666655554444433333222212111100000
            *10^ 1  6814476208589020138522806114326042087124710305551769549758206991803341177229740395510876290661087420
            *10^ 0  9441454058904537965526548372423279398921148458955979978051867024706365654833197572230539385636556226

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      100000    Mean =  3.3274e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+05    Rms  =  2.3547e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+00
pythia8-8.1.86.orig/examples/outref/out210000644000175000017500000037744012357054720016402 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:06:29    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | ProcessLevel:all                              |                      off |           on                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | Standalone:allowResDec                        |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000    125.000    125.000
     1        25   (h0(H_1))          -22     0     0     2     3     0     0      0.000      0.000     -0.000    125.000    125.000
     2         5   (b)                -23     1     0     4     5   101     0      9.619     44.029    -43.036     62.500      4.800
     3        -5   (bbar)             -23     1     0     6     6     0   101     -9.619    -44.029     43.036     62.500      4.800
     4         5   (b)                -51     2     0     9     9   103     0     12.291     44.095    -33.839     57.128      4.800
     5        21   (g)                -51     2     0     7     8   101   103     -3.104     -2.042     -7.266      8.161      0.000
     6        -5   (bbar)             -52     3     3    12    12     0   101     -9.188    -42.053     41.105     59.712      4.800
     7         2   (u)                -51     5     0    10    11   101     0      3.549     -1.325     -0.290      3.814      0.330
     8        -2   (ubar)             -51     5     0    18    18     0   103     -2.868     12.640    -17.013     21.390      0.330
     9         5   (b)                -52     4     4    16    17   103     0      8.506     30.737    -23.802     40.084      4.800
    10         2   (u)                -51     7     0    15    15   106     0      2.734      0.087     -0.066      2.756      0.330
    11        21   (g)                -51     7     0    13    14   101   106      0.437     -3.070      1.404      3.404      0.000
    12        -5   (bbar)             -52     6     6    30    30     0   101     -8.809    -40.394     39.477     57.365      4.800
    13        21   (g)                -51    11     0    21    21   101   107     -0.246     -1.898      1.433      2.390      0.000
    14        21   (g)                -51    11     0    19    20   107   106      1.797     -1.115     -0.065      2.116      0.000
    15         2   (u)                -52    10    10    32     0   106     0      1.620      0.030     -0.029      1.653      0.330
    16         5   (b)                -51     9     0    33    36   108     0      8.616     30.887    -24.300     40.519      4.800
    17        21   (g)                -51     9     0    33    36   103   108     -0.291      0.644     -0.573      0.910      0.000
    18        -2   (ubar)             -52     8     8    33    36     0   103     -2.687     11.846    -15.943     20.045      0.330
    19        21   (g)                -51    14     0    24    24   109   106      1.856     -1.469      0.523      2.424      0.000
    20        21   (g)                -51    14     0    22    23   107   109     -0.120     -0.118     -0.232      0.287      0.000
    21        21   (g)                -52    13    13    25    26   101   107     -0.185     -1.426      1.076      1.796      0.000
    22        21   (g)                -51    20     0    27    27   107   110      0.792     -0.825      0.658      1.320      0.000
    23        21   (g)                -51    20     0    38    38   110   109      0.503     -0.413     -0.491      0.815      0.000
    24        21   (g)                -52    19    19    32     0   109   106      0.441     -0.349      0.124      0.576      0.000
    25        21   (g)                -51    21     0    28    29   101   112     -0.088     -1.207      0.446      1.289      0.000
    26        21   (g)                -51    21     0    31     0   112   107      0.426     -0.765      1.065      1.379      0.000
    27        21   (g)                -52    22    22    31     0   107   110      0.269     -0.280      0.223      0.448      0.000
    28        21   (g)                -51    25     0    40    40   113   112     -0.816     -2.526      2.096      3.382      0.000
    29        21   (g)                -51    25     0    41    41   101   113      0.219     -0.848      0.621      1.074      0.000
    30        -5   (bbar)             -52    12    12    42    42     0   101     -8.300    -38.227     37.206     54.199      4.800
    31        21   (g)                -73    26    27    39    39   112   110      0.695     -1.044      1.288      1.826      0.319
    32         2   (u)                -73    15    24    37    37   109     0      2.060     -0.319      0.095      2.229      0.783
    33      -523   (B*-)              -83    16    18    55    56     0     0      7.951     29.422    -23.162     38.649      5.325
    34       223   (omega)            -83    16    18    57    59     0     0     -0.436      4.586     -5.151      6.955      0.785
    35       223   (omega)            -83    16    18    60    62     0     0     -0.362      1.653     -2.256      2.931      0.798
    36       223   (omega)            -84    16    18    63    65     0     0     -1.515      7.717    -10.246     12.940      0.788
    37         2   (u)                -71    32    32    43    48   109     0      2.060     -0.319      0.095      2.229      0.783
    38        21   (g)                -71    23    23    43    48   110   109      0.503     -0.413     -0.491      0.815      0.000
    39        21   (g)                -71    31    31    43    48   112   110      0.695     -1.044      1.288      1.826      0.319
    40        21   (g)                -71    28    28    43    48   113   112     -0.816     -2.526      2.096      3.382      0.000
    41        21   (g)                -71    29    29    43    48   101   113      0.219     -0.848      0.621      1.074      0.000
    42        -5   (bbar)             -71    30    30    43    48     0   101     -8.300    -38.227     37.206     54.199      4.800
    43       113   (rho0)             -83    37    42    49    50     0     0      1.504     -0.208     -0.170      1.686      0.714
    44       213   (rho+)             -83    37    42    51    52     0     0      1.079     -0.409      0.204      1.378      0.725
    45       113   (rho0)             -83    37    42    53    54     0     0     -0.038     -0.410      0.299      0.845      0.675
    46       111   (pi0)              -83    37    42    66    67     0     0      0.522     -1.143      1.060      1.650      0.135
    47       111   (pi0)              -84    37    42    68    69     0     0     -0.425     -2.431      1.906      3.121      0.135
    48       513   (B*0)              -84    37    42    70    71     0     0     -8.281    -38.776     37.517     54.845      5.325
    49       211   pi+                 91    43     0     0     0     0     0      0.058      0.052     -0.137      0.210      0.140
    50      -211   pi-                 91    43     0     0     0     0     0      1.446     -0.260     -0.033      1.476      0.140
    51       211   pi+                 91    44     0     0     0     0     0      1.071     -0.305      0.014      1.123      0.140
    52       111   (pi0)              -91    44     0    72    73     0     0      0.008     -0.104      0.190      0.255      0.135
    53       211   pi+                 91    45     0     0     0     0     0     -0.254     -0.097      0.315      0.439      0.140
    54      -211   pi-                 91    45     0     0     0     0     0      0.217     -0.313     -0.016      0.406      0.140
    55      -521   (B-)               -91    33     0    74    76     0     0      7.944     29.383    -23.095     38.571      5.279
    56        22   gamma               91    33     0     0     0     0     0      0.008      0.040     -0.067      0.078      0.000
    57       211   pi+                 91    34     0     0     0     0     0     -0.141      1.258     -1.310      1.827      0.140
    58      -211   pi-                 91    34     0     0     0     0     0     -0.295      3.180     -3.628      4.836      0.140
    59       111   (pi0)              -91    34     0    77    78     0     0     -0.001      0.147     -0.213      0.292      0.135
    60       211   pi+                 91    35     0     0     0     0     0     -0.122      0.197     -0.116      0.294      0.140
    61      -211   pi-                 91    35     0     0     0     0     0     -0.139      0.349     -0.761      0.860      0.140
    62       111   (pi0)              -91    35     0    79    80     0     0     -0.101      1.106     -1.379      1.776      0.135
    63       211   pi+                 91    36     0     0     0     0     0     -0.441      1.727     -2.133      2.783      0.140
    64      -211   pi-                 91    36     0     0     0     0     0     -1.054      5.523     -7.468      9.349      0.140
    65       111   (pi0)              -91    36     0    81    82     0     0     -0.020      0.467     -0.645      0.808      0.135
    66        22   gamma               91    46     0     0     0     0     0      0.236     -0.534      0.580      0.823      0.000
    67        22   gamma               91    46     0     0     0     0     0      0.286     -0.610      0.480      0.827      0.000
    68        22   gamma               91    47     0     0     0     0     0     -0.149     -0.527      0.420      0.690      0.000
    69        22   gamma               91    47     0     0     0     0     0     -0.276     -1.904      1.486      2.431      0.000
    70       511   (B0)               -91    48     0    83    85     0     0     -8.156    -38.170     36.901     53.973      5.280
    71        22   gamma               91    48     0     0     0     0     0     -0.125     -0.605      0.615      0.872      0.000
    72        22   gamma               91    52     0     0     0     0     0      0.052     -0.106      0.169      0.206      0.000
    73        22   gamma               91    52     0     0     0     0     0     -0.044      0.002      0.020      0.049      0.000
    74       -12   nu_ebar             91    55     0     0     0     0     0      2.890     10.038     -6.939     12.541      0.000
    75        11   e-                  91    55     0     0     0     0     0      1.631      3.172     -4.058      5.403      0.001
    76     10423   (D_10)             -91    55     0    86    87     0     0      3.423     16.172    -12.099     20.628      2.422
    77        22   gamma               91    59     0     0     0     0     0     -0.067      0.080     -0.125      0.163      0.000
    78        22   gamma               91    59     0     0     0     0     0      0.066      0.067     -0.088      0.129      0.000
    79        22   gamma               91    62     0     0     0     0     0      0.008      0.015     -0.004      0.018      0.000
    80        22   gamma               91    62     0     0     0     0     0     -0.109      1.091     -1.374      1.758      0.000
    81        22   gamma               91    65     0     0     0     0     0     -0.034      0.030     -0.096      0.106      0.000
    82        22   gamma               91    65     0     0     0     0     0      0.014      0.437     -0.549      0.702      0.000
    83        12   nu_e                91    70     0     0     0     0     0     -0.853     -6.345      4.137      7.622      0.000
    84       -11   e+                  91    70     0     0     0     0     0     -0.693     -4.047      5.464      6.835      0.001
    85      -213   (rho-)             -91    70     0    88    89     0     0     -6.610    -27.779     27.300     39.516      0.928
    86       413   (D*+)              -91    76     0    90    91     0     0      2.323     12.200     -9.251     15.616      2.010
    87      -211   pi-                 91    76     0     0     0     0     0      1.100      3.972     -2.848      5.012      0.140
    88      -211   pi-                 91    85     0     0     0     0     0     -1.406     -4.823      5.091      7.154      0.140
    89       111   (pi0)              -91    85     0    92    93     0     0     -5.205    -22.956     22.209     32.362      0.135
    90       421   (D0)               -91    86     0    94    96     0     0      2.110     11.122     -8.462     14.256      1.865
    91       211   pi+                 91    86     0     0     0     0     0      0.213      1.078     -0.789      1.360      0.140
    92        22   gamma               91    89     0     0     0     0     0     -0.707     -3.095      3.058      4.408      0.000
    93        22   gamma               91    89     0     0     0     0     0     -4.498    -19.861     19.151     27.954      0.000
    94      -321   K-                  91    90     0     0     0     0     0      2.099     10.050     -7.821     12.916      0.494
    95       211   pi+                 91    90     0     0     0     0     0      0.005      0.873     -0.323      0.941      0.140
    96       111   (pi0)              -91    90     0    97    98     0     0      0.006      0.199     -0.318      0.398      0.135
    97        22   gamma               91    96     0     0     0     0     0      0.002     -0.020     -0.039      0.044      0.000
    98        22   gamma               91    96     0     0     0     0     0      0.004      0.219     -0.279      0.354      0.000
                                   Charge sum:  0.000           Momentum sum:     -0.000     -0.000      0.000    125.000    125.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Junction Listing  (complete event)  ------------
 
    no  kind  col0  col1  col2 endc0 endc1 endc2 stat0 stat1 stat2
    no junctions present 

 --------  End PYTHIA Junction Listing  --------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000    124.978    124.978
     1        25   (h0(H_1))          -22     0     0     2     3     0     0     -0.000     -0.000      0.000    124.978    124.978
     2         5   (b)                -23     1     0     4     5   101     0     30.059    -53.927     -8.378     62.489      4.800
     3        -5   (bbar)             -23     1     0     6     6     0   101    -30.059     53.927      8.378     62.489      4.800
     4         5   (b)                -51     2     0    12    12   102     0     22.189    -25.598    -17.970     38.647      4.800
     5        21   (g)                -51     2     0     9     9   101   102      6.026    -25.022     10.106     27.650      0.000
     6        -5   (bbar)             -52     3     3     7     8     0   101    -28.216     50.620      7.865     58.680      4.800
     7        -5   (bbar)             -51     6     0    21    21     0   103    -24.347     46.335     15.459     54.788      4.800
     8        21   (g)                -51     6     0    16    17   103   101     -3.143      1.271     -6.377      7.222      0.000
     9        21   (g)                -52     5     5    10    11   101   102      5.301    -22.008      8.889     24.320      0.000
    10         3   (s)                -51     9     0    18    18   101     0      2.509     -9.317     -7.209     12.055      0.500
    11        -3   (sbar)             -51     9     0    15    15     0   102     10.772    -21.485      9.293     25.773      0.500
    12         5   (b)                -52     4     4    13    14   102     0     14.209    -16.804    -11.166     25.140      4.800
    13         5   (b)                -51    12     0    60    60   104     0     14.358    -17.796     -9.642     25.276      4.800
    14        21   (g)                -51    12     0    22    23   102   104      0.381     -0.067     -1.065      1.133      0.000
    15        -3   (sbar)             -52    11    11    24    24     0   102     10.241    -20.427      8.834     24.504      0.500
    16        21   (g)                -51     8     0    19    20   103   105     -0.257      0.332     -6.200      6.214      0.000
    17        21   (g)                -51     8     0    30    30   105   101     -2.500     -0.489     -1.277      2.849      0.000
    18         3   (s)                -52    10    10    54    54   101     0      2.123     -7.890     -6.110     10.214      0.500
    19        21   (g)                -51    16     0    27    27   106   105      1.742      0.460     -3.375      3.826      0.000
    20        21   (g)                -51    16     0    25    26   103   106     -2.581      0.979     -2.447      3.689      0.000
    21        -5   (bbar)             -52     7     7    39    39     0   103    -23.765     45.228     15.081     53.487      4.800
    22        21   (g)                -51    14     0    31    32   108   104      2.190     -0.717     -0.293      2.323      0.000
    23        21   (g)                -51    14     0    33    33   102   108     -0.254     -2.450      0.571      2.529      0.000
    24        -3   (sbar)             -52    15    15    34    35     0   102      8.687    -17.326      7.492     20.786      0.500
    25        21   (g)                -51    20     0    37    38   103   109     -1.113     -0.412     -3.297      3.504      0.000
    26        21   (g)                -51    20     0    49    50   109   106     -0.710      1.591     -0.618      1.849      0.000
    27        21   (g)                -52    19    19    28    29   106   105      0.984      0.260     -1.907      2.162      0.000
    28        21   (g)                -51    27     0    51    51   106   112      0.218      0.390     -2.770      2.806      0.000
    29        21   (g)                -51    27     0    80    80   112   105     -0.276     -0.333      0.330      0.544      0.000
    30        21   (g)                -52    17    17    52    53   105   101     -1.457     -0.285     -0.744      1.661      0.000
    31        21   (g)                -51    22     0    46    47   114   104      1.728     -0.154      0.140      1.741      0.000
    32        21   (g)                -51    22     0    48    48   108   114      0.356     -1.576     -0.198      1.627      0.000
    33        21   (g)                -52    23    23    36    36   102   108     -0.149     -1.437      0.335      1.483      0.000
    34        -3   (sbar)             -51    24     0    69    69     0   117      8.396    -16.297      7.175     19.693      0.500
    35        21   (g)                -51    24     0    62     0   117   102      0.243     -1.490      0.424      1.568      0.000
    36        21   (g)                -52    33    33    62     0   102   108     -0.101     -0.976      0.227      1.007      0.000
    37        21   (g)                -51    25     0    43    44   118   109     -1.175     -0.844     -2.069      2.524      0.000
    38        21   (g)                -51    25     0    40    41   103   118     -0.104      0.748     -1.120      1.351      0.000
    39        -5   (bbar)             -52    21    21    42    42     0   103    -23.600     44.912     14.973     53.116      4.800
    40        21   (g)                -51    38     0    45    45   119   118     -0.572      1.772     -1.294      2.267      0.000
    41        21   (g)                -51    38     0    87    87   103   119     -0.546      0.894      0.840      1.343      0.000
    42        -5   (bbar)             -52    39    39    88    88     0   103    -22.587     42.994     14.308     50.857      4.800
    43        21   (g)                -51    37     0    84    84   120   109     -1.397      0.233     -1.843      2.324      0.000
    44        21   (g)                -51    37     0    85    85   118   120      0.063     -0.585     -0.585      0.830      0.000
    45        21   (g)                -52    40    40    86    86   119   118     -0.413      1.279     -0.935      1.637      0.000
    46        21   (g)                -51    31     0    58    59   121   104      1.562     -1.142      0.152      1.941      0.000
    47        21   (g)                -51    31     0    66    66   114   121      0.313      0.338     -0.093      0.470      0.000
    48        21   (g)                -52    32    32    67    67   108   114      0.210     -0.926     -0.116      0.957      0.000
    49        21   (g)                -51    26     0    83    83   109   122     -0.953      0.873     -0.551      1.405      0.000
    50        21   (g)                -51    26     0    55    56   122   106      0.300      0.821     -0.796      1.182      0.000
    51        21   (g)                -52    28    28    57    57   106   112      0.161      0.287     -2.041      2.067      0.000
    52        21   (g)                -51    30     0    79    79   105   123     -0.631      0.263     -0.192      0.710      0.000
    53        21   (g)                -51    30     0    78    78   123   101     -0.716     -0.951     -0.864      1.471      0.000
    54         3   (s)                -52    18    18    77    77   101     0      2.013     -7.487     -5.798      9.694      0.500
    55        21   (g)                -51    50     0    82    82   122   125      0.033      1.038     -1.752      2.037      0.000
    56        21   (g)                -51    50     0    61     0   125   106      0.386     -0.004     -0.553      0.674      0.000
    57        21   (g)                -52    51    51    61     0   106   112      0.042      0.075     -0.532      0.538      0.000
    58        21   (g)                -51    46     0    65    65   121   126      1.861     -1.303     -0.511      2.328      0.000
    59        21   (g)                -51    46     0    64    64   126   104      0.225     -0.621      0.111      0.670      0.000
    60         5   (b)                -52    13    13    63    63   104     0     13.834    -17.014     -9.090     24.219      4.800
    61        21   (g)                -73    56    57    81    81   125   112      0.428      0.070     -1.085      1.213      0.326
    62        21   (g)                -73    35    36    68    68   117   108      0.142     -2.466      0.651      2.575      0.327
    63         5   (b)                -71    60    60    70    76   104     0     13.834    -17.014     -9.090     24.219      4.800
    64        21   (g)                -71    59    59    70    76   126   104      0.225     -0.621      0.111      0.670      0.000
    65        21   (g)                -71    58    58    70    76   121   126      1.861     -1.303     -0.511      2.328      0.000
    66        21   (g)                -71    47    47    70    76   114   121      0.313      0.338     -0.093      0.470      0.000
    67        21   (g)                -71    48    48    70    76   108   114      0.210     -0.926     -0.116      0.957      0.000
    68        21   (g)                -71    62    62    70    76   117   108      0.142     -2.466      0.651      2.575      0.327
    69        -3   (sbar)             -71    34    34    70    76     0   117      8.396    -16.297      7.175     19.693      0.500
    70      5122   (Lambda_b0)        -83    63    69   113   115     0     0     13.680    -16.819     -8.371     23.909      5.619
    71       111   (pi0)              -83    63    69   116   117     0     0      2.402     -1.050     -1.266      2.914      0.135
    72     -2212   pbar-               84    63    69     0     0     0     0      0.856     -2.652      0.722      3.027      0.938
    73       323   (K*+)              -84    63    69   103   104     0     0      1.411     -3.638      1.058      4.142      0.900
    74      -321   K-                  84    63    69     0     0     0     0      0.346     -1.301      0.625      1.565      0.494
    75       111   (pi0)              -84    63    69   118   119     0     0      0.067     -0.237     -0.070      0.290      0.135
    76       321   K+                  84    63    69     0     0     0     0      6.220    -12.592      5.429     15.065      0.494
    77         3   (s)                -71    54    54    89   102   101     0      2.013     -7.487     -5.798      9.694      0.500
    78        21   (g)                -71    53    53    89   102   123   101     -0.716     -0.951     -0.864      1.471      0.000
    79        21   (g)                -71    52    52    89   102   105   123     -0.631      0.263     -0.192      0.710      0.000
    80        21   (g)                -71    29    29    89   102   112   105     -0.276     -0.333      0.330      0.544      0.000
    81        21   (g)                -71    61    61    89   102   125   112      0.428      0.070     -1.085      1.213      0.326
    82        21   (g)                -71    55    55    89   102   122   125      0.033      1.038     -1.752      2.037      0.000
    83        21   (g)                -71    49    49    89   102   109   122     -0.953      0.873     -0.551      1.405      0.000
    84        21   (g)                -71    43    43    89   102   120   109     -1.397      0.233     -1.843      2.324      0.000
    85        21   (g)                -71    44    44    89   102   118   120      0.063     -0.585     -0.585      0.830      0.000
    86        21   (g)                -71    45    45    89   102   119   118     -0.413      1.279     -0.935      1.637      0.000
    87        21   (g)                -71    41    41    89   102   103   119     -0.546      0.894      0.840      1.343      0.000
    88        -5   (bbar)             -71    42    42    89   102     0   103    -22.587     42.994     14.308     50.857      4.800
    89      -323   (K*-)              -83    77    88   105   106     0     0      1.838     -6.705     -5.102      8.698      1.138
    90       211   pi+                 83    77    88     0     0     0     0     -0.330     -0.934     -0.760      1.256      0.140
    91       313   (K*0)              -83    77    88   107   108     0     0     -0.425     -0.776     -0.758      1.437      0.840
    92      -321   K-                  83    77    88     0     0     0     0      0.024      0.194     -0.803      0.963      0.494
    93       211   pi+                 83    77    88     0     0     0     0     -0.165     -0.506      0.174      0.577      0.140
    94       223   (omega)            -84    77    88   120   121     0     0     -0.356      0.957     -1.455      1.940      0.779
    95      -211   pi-                 84    77    88     0     0     0     0     -0.455      0.719     -0.307      0.915      0.140
    96       211   pi+                 84    77    88     0     0     0     0     -0.295     -0.305     -0.485      0.660      0.140
    97       223   (omega)            -84    77    88   122   124     0     0      0.147      0.333     -1.268      1.531      0.777
    98      2112   n0                  84    77    88     0     0     0     0     -1.320      0.676     -1.638      2.401      0.940
    99       221   (eta)              -84    77    88   125   127     0     0     -0.960      0.578     -0.140      1.255      0.548
   100     -2114   (Deltabar0)        -84    77    88   109   110     0     0     -0.794      2.658      0.621      3.161      1.381
   101      -211   pi-                 84    77    88     0     0     0     0     -0.390      0.471     -0.227      0.667      0.140
   102       523   (B*+)              -84    77    88   128   129     0     0    -21.499     40.930     14.021     48.605      5.325
   103       311   (K0)               -91    73     0   111   111     0     0      0.630     -2.413      0.608      2.615      0.498
   104       211   pi+                 91    73     0     0     0     0     0      0.781     -1.225      0.450      1.527      0.140
   105      -311   (Kbar0)            -91    89     0   112   112     0     0      0.512     -3.192     -2.670      4.222      0.498
   106      -211   pi-                 91    89     0     0     0     0     0      1.327     -3.513     -2.432      4.476      0.140
   107       321   K+                  91    91     0     0     0     0     0     -0.463     -0.567     -0.338      0.945      0.494
   108      -211   pi-                 91    91     0     0     0     0     0      0.037     -0.209     -0.421      0.492      0.140
   109     -2112   nbar0               91   100     0     0     0     0     0     -0.446      2.418      0.663      2.715      0.940
   110       111   (pi0)              -91   100     0   130   131     0     0     -0.349      0.240     -0.042      0.446      0.135
   111       130   K_L0                91   103   103     0     0     0     0      0.630     -2.413      0.608      2.615      0.498
   112       310   (K_S0)             -91   105   105   132   133     0     0      0.512     -3.192     -2.670      4.222      0.498
   113      -311   (Kbar0)            -91    70     0   134   134     0     0      2.251     -2.418     -0.249      3.350      0.498
   114      -413   (D*-)              -91    70     0   135   136     0     0      5.989     -7.321     -4.070     10.491      2.010
   115      4122   (Lambda_c+)        -91    70     0   137   140     0     0      5.440     -7.080     -4.052     10.068      2.286
   116        22   gamma               91    71     0     0     0     0     0      1.012     -0.506     -0.509      1.240      0.000
   117        22   gamma               91    71     0     0     0     0     0      1.391     -0.544     -0.757      1.674      0.000
   118        22   gamma               91    75     0     0     0     0     0      0.058     -0.251     -0.049      0.263      0.000
   119        22   gamma               91    75     0     0     0     0     0      0.009      0.014     -0.021      0.027      0.000
   120       111   (pi0)              -91    94     0   141   142     0     0     -0.485      0.250     -0.569      0.800      0.135
   121        22   gamma               91    94     0     0     0     0     0      0.129      0.706     -0.886      1.140      0.000
   122       211   pi+                 91    97     0     0     0     0     0      0.237     -0.046     -0.717      0.769      0.140
   123      -211   pi-                 91    97     0     0     0     0     0     -0.087      0.278     -0.481      0.580      0.140
   124       111   (pi0)              -91    97     0   143   144     0     0     -0.003      0.100     -0.070      0.182      0.135
   125       211   pi+                 91    99     0     0     0     0     0     -0.207      0.267     -0.019      0.366      0.140
   126      -211   pi-                 91    99     0     0     0     0     0     -0.508      0.236     -0.006      0.578      0.140
   127       111   (pi0)              -91    99     0   145   146     0     0     -0.245      0.075     -0.116      0.311      0.135
   128       521   (B+)               -91   102     0   147   149     0     0    -21.172     40.378     13.844     47.939      5.279
   129        22   gamma               91   102     0     0     0     0     0     -0.327      0.553      0.177      0.666      0.000
   130        22   gamma               91   110     0     0     0     0     0     -0.329      0.257     -0.047      0.420      0.000
   131        22   gamma               91   110     0     0     0     0     0     -0.020     -0.017      0.005      0.026      0.000
   132       211   pi+                 91   112     0     0     0     0     0      0.429     -1.479     -1.366      2.064      0.140
   133      -211   pi-                 91   112     0     0     0     0     0      0.082     -1.713     -1.304      2.158      0.140
   134       130   K_L0                91   113   113     0     0     0     0      2.251     -2.418     -0.249      3.350      0.498
   135      -421   (Dbar0)            -91   114     0   150   154     0     0      5.636     -6.835     -3.806      9.821      1.865
   136      -211   pi-                 91   114     0     0     0     0     0      0.353     -0.487     -0.264      0.671      0.140
   137       -11   e+                  91   115     0     0     0     0     0      0.743     -1.568     -0.848      1.931      0.001
   138        12   nu_e                91   115     0     0     0     0     0      1.742     -1.704     -1.157      2.697      0.000
   139      2112   n0                  91   115     0     0     0     0     0      1.738     -2.875     -1.248      3.705      0.940
   140       111   (pi0)              -91   115     0   155   156     0     0      1.218     -0.933     -0.798      1.735      0.135
   141        22   gamma               91   120     0     0     0     0     0     -0.110      0.102     -0.095      0.177      0.000
   142        22   gamma               91   120     0     0     0     0     0     -0.375      0.148     -0.474      0.623      0.000
   143        22   gamma               91   124     0     0     0     0     0     -0.059      0.059     -0.000      0.084      0.000
   144        22   gamma               91   124     0     0     0     0     0      0.056      0.041     -0.070      0.099      0.000
   145        22   gamma               91   127     0     0     0     0     0     -0.238      0.034     -0.072      0.251      0.000
   146        22   gamma               91   127     0     0     0     0     0     -0.006      0.041     -0.044      0.060      0.000
   147      -423   (D*bar0)           -91   128     0   157   158     0     0    -16.530     28.646      9.678     34.519      2.007
   148       221   (eta)              -91   128     0   159   161     0     0     -3.628      9.184      3.008     10.338      0.548
   149       213   (rho+)             -91   128     0   162   163     0     0     -1.014      2.547      1.157      3.083      0.805
   150      -311   (Kbar0)            -91   135     0   164   164     0     0      1.219     -1.405     -0.652      2.033      0.498
   151      -211   pi-                 91   135     0     0     0     0     0      0.338     -0.352     -0.124      0.522      0.140
   152       211   pi+                 91   135     0     0     0     0     0      1.415     -1.381     -1.071      2.253      0.140
   153       111   (pi0)              -91   135     0   165   166     0     0      1.036     -1.882     -0.691      2.261      0.135
   154       111   (pi0)              -91   135     0   167   168     0     0      1.628     -1.814     -1.268      2.751      0.135
   155        22   gamma               91   140     0     0     0     0     0      0.758     -0.548     -0.554      1.087      0.000
   156        22   gamma               91   140     0     0     0     0     0      0.460     -0.385     -0.244      0.648      0.000
   157      -421   (Dbar0)            -91   147     0   169   170     0     0    -14.299     24.869      8.413     29.953      1.865
   158        22   gamma               91   147     0     0     0     0     0     -2.231      3.778      1.266      4.566      0.000
   159       111   (pi0)              -91   148     0   171   172     0     0     -0.680      2.011      0.583      2.206      0.135
   160       111   (pi0)              -91   148     0   173   174     0     0     -1.948      4.569      1.573      5.212      0.135
   161       111   (pi0)              -91   148     0   175   176     0     0     -1.001      2.604      0.852      2.920      0.135
   162       211   pi+                 91   149     0     0     0     0     0     -0.773      1.325      0.313      1.572      0.140
   163       111   (pi0)              -91   149     0   177   178     0     0     -0.241      1.222      0.844      1.511      0.135
   164       130   K_L0                91   150   150     0     0     0     0      1.219     -1.405     -0.652      2.033      0.498
   165        22   gamma               91   153     0     0     0     0     0      0.890     -1.562     -0.622      1.902      0.000
   166        22   gamma               91   153     0     0     0     0     0      0.147     -0.321     -0.069      0.359      0.000
   167        22   gamma               91   154     0     0     0     0     0      0.689     -0.718     -0.453      1.094      0.000
   168        22   gamma               91   154     0     0     0     0     0      0.939     -1.096     -0.815      1.657      0.000
   169       323   (K*+)              -91   157     0   179   180     0     0     -8.920     15.418      5.207     18.580      0.908
   170      -213   (rho-)             -91   157     0   181   182     0     0     -5.379      9.451      3.206     11.372      0.900
   171        22   gamma               91   159     0     0     0     0     0     -0.477      1.366      0.460      1.518      0.000
   172        22   gamma               91   159     0     0     0     0     0     -0.203      0.646      0.123      0.688      0.000
   173        22   gamma               91   160     0     0     0     0     0     -1.078      2.419      0.893      2.795      0.000
   174        22   gamma               91   160     0     0     0     0     0     -0.870      2.150      0.680      2.417      0.000
   175        22   gamma               91   161     0     0     0     0     0     -0.733      1.966      0.697      2.211      0.000
   176        22   gamma               91   161     0     0     0     0     0     -0.268      0.638      0.155      0.709      0.000
   177        22   gamma               91   163     0     0     0     0     0     -0.235      1.188      0.788      1.445      0.000
   178        22   gamma               91   163     0     0     0     0     0     -0.006      0.034      0.056      0.066      0.000
   179       311   (K0)               -91   169     0   183   183     0     0     -7.026     11.603      3.905     14.124      0.498
   180       211   pi+                 91   169     0     0     0     0     0     -1.895      3.815      1.301      4.456      0.140
   181      -211   pi-                 91   170     0     0     0     0     0     -2.683      3.869      1.458      4.930      0.140
   182       111   (pi0)              -91   170     0   184   185     0     0     -2.696      5.582      1.748      6.442      0.135
   183       310   (K_S0)             -91   179   179   186   187     0     0     -7.026     11.603      3.905     14.124      0.498
   184        22   gamma               91   182     0     0     0     0     0     -1.540      3.038      0.946      3.535      0.000
   185        22   gamma               91   182     0     0     0     0     0     -1.156      2.544      0.802      2.907      0.000
   186       211   pi+                 91   183     0     0     0     0     0     -5.488      8.757      2.961     10.751      0.140
   187      -211   pi-                 91   183     0     0     0     0     0     -1.538      2.847      0.944      3.373      0.140
                                   Charge sum:  0.000           Momentum sum:      0.000     -0.000     -0.000    124.978    124.978

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Junction Listing  (complete event)  ------------
 
    no  kind  col0  col1  col2 endc0 endc1 endc2 stat0 stat1 stat2
    no junctions present 

 --------  End PYTHIA Junction Listing  --------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000    124.999    124.999
     1        25   (h0(H_1))          -22     0     0     2     3     0     0      0.000     -0.000     -0.000    124.999    124.999
     2        21   (g)                -23     1     0     6     6   101   102     48.989     21.008     32.633     62.499      0.000
     3        21   (g)                -23     1     0     4     5   102   101    -48.989    -21.008    -32.633     62.499      0.000
     4        21   (g)                -51     3     0     7     8   103   101    -33.990    -21.150    -34.446     52.813      0.000
     5        21   (g)                -51     3     0     9     9   102   103    -12.423      1.247      3.529     12.974      0.000
     6        21   (g)                -52     2     2    10    11   101   102     46.412     19.903     30.917     59.212      0.000
     7        21   (g)                -51     4     0    12    12   104   101    -29.874    -15.663    -32.536     46.866      0.000
     8        21   (g)                -51     4     0    57    57   103   104     -6.521     -5.246     -1.226      8.459      0.000
     9        21   (g)                -52     5     5    13    14   102   103    -10.018      1.006      2.846     10.462      0.000
    10        21   (g)                -51     6     0    15    15   105   102     38.644     18.437     21.422     47.876      0.000
    11        21   (g)                -51     6     0    21    21   101   105      7.439      1.294      9.136     11.853      0.000
    12        21   (g)                -52     7     7    19    20   104   101    -29.544    -15.490    -32.178     46.349      0.000
    13        21   (g)                -51     9     0    18    18   106   103     -9.958      3.186      2.849     10.836      0.000
    14        21   (g)                -51     9     0    16    17   102   106      3.552     -0.457      1.999      4.101      0.000
    15        21   (g)                -52    10    10    25    26   105   102     35.032     16.713     19.420     43.402      0.000
    16        21   (g)                -51    14     0    40    41   102   107      2.269     -0.780      4.223      4.856      0.000
    17        21   (g)                -51    14     0    30    30   107   106     -1.797      1.309     -1.342      2.597      0.000
    18        21   (g)                -52    13    13    28    29   106   103     -6.877      2.200      1.968      7.484      0.000
    19        21   (g)                -51    12     0    24    24   104   108    -29.727    -15.488    -29.730     44.804      0.000
    20        21   (g)                -51    12     0    22    23   108   101      0.527      0.058     -2.025      2.093      0.000
    21        21   (g)                -52    11    11    27    27   101   105      7.095      1.234      8.713     11.304      0.000
    22        21   (g)                -51    20     0    37    38   109   101      0.347     -0.173     -2.718      2.745      0.000
    23        21   (g)                -51    20     0    85    86   108   109     -6.147     -3.066     -5.635      8.885      0.000
    24        21   (g)                -52    19    19    63    63   104   108    -23.400    -12.191    -23.402     35.268      0.000
    25        21   (g)                -51    15     0    36    36   110   102      7.214      2.723      2.856      8.222      0.000
    26        21   (g)                -51    15     0    33    33   105   110     28.402     14.092     17.281     36.110      0.000
    27        21   (g)                -52    21    21    31    32   101   105      6.511      1.132      7.996     10.373      0.000
    28        21   (g)                -51    18     0    52    53   111   103     -2.996      2.235      1.281      3.952      0.000
    29        21   (g)                -51    18     0    54    54   106   111     -4.748      0.597      0.039      4.785      0.000
    30        21   (g)                -52    17    17    42    42   107   106     -0.930      0.678     -0.695      1.344      0.000
    31        21   (g)                -51    27     0    39    39   101   112      7.368      1.028      8.137     11.025      0.000
    32        21   (g)                -51    27     0    45    45   112   105      1.877      1.461      1.522      2.824      0.000
    33        21   (g)                -52    26    26    34    35   105   110     25.668     12.736     15.618     32.634      0.000
    34        21   (g)                -51    33     0    43    44   105   113     16.931      7.654     10.398     21.292      0.000
    35        21   (g)                -51    33     0    46    47   113   110     10.623      5.793      5.967     13.491      0.000
    36        21   (g)                -52    25    25    48    48   110   102      5.328      2.011      2.109      6.073      0.000
    37        21   (g)                -51    22     0    69    69   109   114      0.406      0.519     -2.341      2.431      0.000
    38        21   (g)                -51    22     0    49    50   114   101      0.193     -0.656     -0.099      0.691      0.000
    39        21   (g)                -52    31    31    51    51   101   112      7.116      0.992      7.858     10.647      0.000
    40        21   (g)                -51    16     0   129   129   102   115     -0.086      0.364      0.623      0.727      0.000
    41        21   (g)                -51    16     0    82    83   115   107      2.238     -1.060      3.512      4.298      0.000
    42        21   (g)                -52    30    30    84    84   107   106     -0.814      0.593     -0.608      1.176      0.000
    43        -2   (ubar)             -51    34     0   133   133     0   113      2.397      1.102      1.875      3.253      0.330
    44         2   (u)                -51    34     0    99    99   105     0     15.807      7.544      9.556     19.954      0.330
    45        21   (g)                -52    32    32   100   100   112   105      0.604      0.470      0.490      0.908      0.000
    46        21   (g)                -51    35     0    58    59   113   116     14.211      6.808      7.064     17.269      0.000
    47        21   (g)                -51    35     0    60    60   116   110      0.610      0.569      0.565      1.008      0.000
    48        21   (g)                -52    36    36    97     0   110   102      1.130      0.426      0.447      1.288      0.000
    49        21   (g)                -51    38     0    67    68   114   117      1.041     -0.583      1.056      1.594      0.000
    50        21   (g)                -51    38     0    94     0   117   101     -0.054      0.038     -0.278      0.286      0.000
    51        21   (g)                -52    39    39   101   101   101   112      6.321      0.882      6.981      9.459      0.000
    52        21   (g)                -51    28     0    55    56   118   103     -2.451      1.146      1.265      2.987      0.000
    53        21   (g)                -51    28     0   124   124   111   118     -1.498      1.208      0.024      1.924      0.000
    54        21   (g)                -52    29    29   125   125   106   111     -3.795      0.477      0.031      3.825      0.000
    55        21   (g)                -51    52     0   123   123   118   119     -1.942      0.712      0.285      2.088      0.000
    56        21   (g)                -51    52     0    81    81   119   103     -0.761      0.231      0.933      1.226      0.000
    57        21   (g)                -52     8     8    61    62   103   104     -6.269     -5.043     -1.179      8.132      0.000
    58        21   (g)                -51    46     0   132   132   113   120      5.134      2.903      2.253      6.313      0.000
    59        21   (g)                -51    46     0   131   131   120   116      9.500      4.300      5.201     11.653      0.000
    60        21   (g)                -52    47    47    97     0   116   110      0.188      0.176      0.174      0.311      0.000
    61        21   (g)                -51    57     0    79    80   103   121     -5.014     -3.314     -1.002      6.094      0.000
    62        21   (g)                -51    57     0    66    66   121   104     -1.553     -1.885     -0.475      2.489      0.000
    63        21   (g)                -52    24    24    64    65   104   108    -23.101    -12.036    -23.103     34.817      0.000
    64        21   (g)                -51    63     0   117   117   122   108    -19.381    -10.676    -19.557     29.531      0.000
    65        21   (g)                -51    63     0    70    71   104   122     -3.798     -1.454     -3.570      5.411      0.000
    66        21   (g)                -52    62    62    72    72   121   104     -1.476     -1.791     -0.451      2.364      0.000
    67        21   (g)                -51    49     0    76    77   123   117      0.666      0.130     -0.097      0.686      0.000
    68        21   (g)                -51    49     0    75    75   114   123      0.421     -0.655      0.890      1.182      0.000
    69        21   (g)                -52    37    37    73    74   109   114      0.360      0.460     -2.077      2.158      0.000
    70        21   (g)                -51    65     0   118   118   124   122     -2.801     -0.664     -2.363      3.724      0.000
    71        21   (g)                -51    65     0   119   119   104   124     -1.300     -1.158     -1.300      2.172      0.000
    72        21   (g)                -52    66    66   120   120   121   104     -1.173     -1.424     -0.359      1.879      0.000
    73         1   (d)                -51    69     0    87    87   109     0      0.418      0.114     -1.846      1.925      0.330
    74        -1   (dbar)             -51    69     0   104   104     0   114      0.008      0.243     -0.090      0.420      0.330
    75        21   (g)                -52    68    68    78    78   114   123      0.354     -0.551      0.749      0.995      0.000
    76        21   (g)                -51    67     0    93    93   126   117      0.061     -0.341     -0.138      0.372      0.000
    77        21   (g)                -51    67     0    91    92   123   126      0.872      0.055      0.605      1.063      0.000
    78        21   (g)                -52    75    75    95     0   114   123      0.087     -0.136      0.185      0.245      0.000
    79        21   (g)                -51    61     0   121   121   127   121     -4.861     -3.184     -1.094      5.913      0.000
    80        21   (g)                -51    61     0    98     0   103   127     -0.279     -0.091      0.245      0.382      0.000
    81        21   (g)                -52    56    56    98     0   119   103     -0.636      0.193      0.779      1.024      0.000
    82        21   (g)                -51    41     0   128   128   115   128      1.476     -0.842      1.668      2.382      0.000
    83        21   (g)                -51    41     0   127   127   128   107      0.726     -0.193      1.818      1.967      0.000
    84        21   (g)                -52    42    42   126   126   107   106     -0.779      0.567     -0.581      1.125      0.000
    85        21   (g)                -51    23     0    88    89   108   129     -5.828     -3.028     -5.804      8.765      0.000
    86        21   (g)                -51    23     0    90    90   129   109     -0.276     -0.025      0.015      0.277      0.000
    87         1   (d)                -52    73    73   113   113   109     0      0.376      0.101     -1.692      1.767      0.330
    88        21   (g)                -51    85     0   116   116   108   130     -2.689     -1.861     -2.763      4.281      0.000
    89        21   (g)                -51    85     0   115   115   130   129     -3.265     -1.179     -3.034      4.610      0.000
    90        21   (g)                -52    86    86   114   114   129   109     -0.150     -0.013      0.008      0.151      0.000
    91        21   (g)                -51    77     0    95     0   123   131      0.980     -0.361      0.537      1.174      0.000
    92        21   (g)                -51    77     0    96     0   131   126     -0.061      0.157     -0.037      0.172      0.000
    93        21   (g)                -52    76    76    94     0   126   117      0.015     -0.081     -0.033      0.089      0.000
    94        21   (g)                -73    50    93    96     0   126   101     -0.039     -0.043     -0.311      0.375      0.200
    95        21   (g)                -73    78    91   103   103   114   131      1.067     -0.497      0.722      1.420      0.329
    96        21   (g)                -73    92    94   102   102   131   101     -0.101      0.114     -0.348      0.547      0.393
    97        21   (g)                -73    48    60   130   130   116   102      1.318      0.602      0.621      1.598      0.264
    98        21   (g)                -73    80    81   122   122   119   127     -0.915      0.102      1.024      1.406      0.286
    99         2   (u)                -71    44    44   105   112   105     0     15.807      7.544      9.556     19.954      0.330
   100        21   (g)                -71    45    45   105   112   112   105      0.604      0.470      0.490      0.908      0.000
   101        21   (g)                -71    51    51   105   112   101   112      6.321      0.882      6.981      9.459      0.000
   102        21   (g)                -71    96    96   105   112   131   101     -0.101      0.114     -0.348      0.547      0.393
   103        21   (g)                -71    95    95   105   112   114   131      1.067     -0.497      0.722      1.420      0.329
   104        -1   (dbar)             -71    74    74   105   112     0   114      0.008      0.243     -0.090      0.420      0.330
   105      3222   (Sigma+)           -83    99   104   184   185     0     0      6.599      3.094      4.898      8.862      1.189
   106      -213   (rho-)             -83    99   104   160   161     0     0      4.136      1.386      1.924      4.830      0.773
   107     -3114   (Sigma*bar+)       -83    99   104   162   163     0     0      9.319      3.922      6.764     12.277      1.658
   108      -211   pi-                 83    99   104     0     0     0     0      2.675      0.854      3.137      4.212      0.140
   109       211   pi+                 84    99   104     0     0     0     0     -0.037     -0.400      0.121      0.442      0.140
   110      -211   pi-                 84    99   104     0     0     0     0      0.542      0.037      0.139      0.577      0.140
   111       111   (pi0)              -84    99   104   186   187     0     0      0.243     -0.105      0.064      0.304      0.135
   112       213   (rho+)             -84    99   104   164   165     0     0      0.231     -0.034      0.263      1.204      1.151
   113         1   (d)                -71    87    87   134   159   109     0      0.376      0.101     -1.692      1.767      0.330
   114        21   (g)                -71    90    90   134   159   129   109     -0.150     -0.013      0.008      0.151      0.000
   115        21   (g)                -71    89    89   134   159   130   129     -3.265     -1.179     -3.034      4.610      0.000
   116        21   (g)                -71    88    88   134   159   108   130     -2.689     -1.861     -2.763      4.281      0.000
   117        21   (g)                -71    64    64   134   159   122   108    -19.381    -10.676    -19.557     29.531      0.000
   118        21   (g)                -71    70    70   134   159   124   122     -2.801     -0.664     -2.363      3.724      0.000
   119        21   (g)                -71    71    71   134   159   104   124     -1.300     -1.158     -1.300      2.172      0.000
   120        21   (g)                -71    72    72   134   159   121   104     -1.173     -1.424     -0.359      1.879      0.000
   121        21   (g)                -71    79    79   134   159   127   121     -4.861     -3.184     -1.094      5.913      0.000
   122        21   (g)                -71    98    98   134   159   119   127     -0.915      0.102      1.024      1.406      0.286
   123        21   (g)                -71    55    55   134   159   118   119     -1.942      0.712      0.285      2.088      0.000
   124        21   (g)                -71    53    53   134   159   111   118     -1.498      1.208      0.024      1.924      0.000
   125        21   (g)                -71    54    54   134   159   106   111     -3.795      0.477      0.031      3.825      0.000
   126        21   (g)                -71    84    84   134   159   107   106     -0.779      0.567     -0.581      1.125      0.000
   127        21   (g)                -71    83    83   134   159   128   107      0.726     -0.193      1.818      1.967      0.000
   128        21   (g)                -71    82    82   134   159   115   128      1.476     -0.842      1.668      2.382      0.000
   129        21   (g)                -71    40    40   134   159   102   115     -0.086      0.364      0.623      0.727      0.000
   130        21   (g)                -71    97    97   134   159   116   102      1.318      0.602      0.621      1.598      0.264
   131        21   (g)                -71    59    59   134   159   120   116      9.500      4.300      5.201     11.653      0.000
   132        21   (g)                -71    58    58   134   159   113   120      5.134      2.903      2.253      6.313      0.000
   133        -2   (ubar)             -71    43    43   134   159     0   113      2.397      1.102      1.875      3.253      0.330
   134      -213   (rho-)             -83   113   133   166   167     0     0     -0.182     -0.401     -0.935      1.407      0.955
   135       111   (pi0)              -83   113   133   188   189     0     0     -0.317      0.080     -0.874      0.943      0.135
   136       211   pi+                 83   113   133     0     0     0     0     -0.985     -0.373     -1.338      1.709      0.140
   137      1114   (Delta-)           -83   113   133   168   169     0     0     -3.299     -1.516     -3.295      5.036      1.151
   138       213   (rho+)             -83   113   133   170   171     0     0     -1.924     -1.456     -2.390      3.469      0.709
   139     -2212   pbar-               83   113   133     0     0     0     0     -9.256     -4.321     -8.417     13.269      0.938
   140       211   pi+                 83   113   133     0     0     0     0     -1.841     -0.923     -2.072      2.924      0.140
   141       111   (pi0)              -83   113   133   190   191     0     0     -0.697     -0.339     -0.442      0.902      0.135
   142      2112   n0                  83   113   133     0     0     0     0     -6.937     -4.370     -6.973     10.804      0.940
   143     -2212   pbar-               83   113   133     0     0     0     0     -1.895     -1.387     -1.692      3.043      0.938
   144       221   (eta)              -83   113   133   192   194     0     0     -0.824     -0.518     -0.480      1.216      0.548
   145       213   (rho+)             -83   113   133   172   173     0     0     -4.275     -2.442     -2.514      5.690      1.347
   146      3112   (Sigma-)           -83   113   133   195   196     0     0     -2.384     -1.321     -0.525      3.023      1.197
   147     -3122   (Lambdabar0)       -83   113   133   197   198     0     0     -1.222      0.328      0.699      1.826      1.116
   148       113   (rho0)             -83   113   133   174   175     0     0     -2.228     -0.293     -0.050      2.373      0.761
   149       111   (pi0)              -83   113   133   199   200     0     0     -2.810      1.714      0.956      3.430      0.135
   150       211   pi+                 84   113   133     0     0     0     0     -2.158      0.166     -0.529      2.233      0.140
   151      -213   (rho-)             -84   113   133   176   177     0     0     -0.619      0.397     -0.193      1.062      0.741
   152       213   (rho+)             -84   113   133   178   179     0     0      0.578     -0.562      1.775      2.115      0.821
   153      -211   pi-                 84   113   133     0     0     0     0      0.212      0.162     -0.020      0.302      0.140
   154       211   pi+                 84   113   133     0     0     0     0      0.605      0.532      0.119      0.826      0.140
   155      -211   pi-                 84   113   133     0     0     0     0      1.633     -0.764      2.344      2.960      0.140
   156       211   pi+                 84   113   133     0     0     0     0      1.269      0.793      0.824      1.714      0.140
   157       113   (rho0)             -84   113   133   180   181     0     0      4.723      2.557      2.721      6.085      0.883
   158      -213   (rho-)             -84   113   133   182   183     0     0      5.774      3.047      3.408      7.452      1.134
   159       223   (omega)            -84   113   133   201   203     0     0      5.352      2.457      2.584      6.480      0.790
   160      -211   pi-                 91   106     0     0     0     0     0      2.568      1.128      0.968      2.970      0.140
   161       111   (pi0)              -91   106     0   204   205     0     0      1.568      0.258      0.956      1.860      0.135
   162     -3122   (Lambdabar0)       -91   107     0   206   207     0     0      9.154      3.926      6.551     11.973      1.116
   163       211   pi+                 91   107     0     0     0     0     0      0.165     -0.003      0.214      0.304      0.140
   164       211   pi+                 91   112     0     0     0     0     0     -0.021      0.516      0.232      0.583      0.140
   165       111   (pi0)              -91   112     0   208   209     0     0      0.252     -0.550      0.031      0.621      0.135
   166      -211   pi-                 91   134     0     0     0     0     0     -0.079     -0.653     -0.377      0.771      0.140
   167       111   (pi0)              -91   134     0   210   211     0     0     -0.103      0.253     -0.558      0.635      0.135
   168      2112   n0                  91   137     0     0     0     0     0     -2.921     -1.426     -3.055      4.559      0.940
   169      -211   pi-                 91   137     0     0     0     0     0     -0.378     -0.090     -0.240      0.478      0.140
   170       211   pi+                 91   138     0     0     0     0     0     -1.122     -0.560     -1.538      1.989      0.140
   171       111   (pi0)              -91   138     0   212   213     0     0     -0.802     -0.896     -0.852      1.480      0.135
   172       211   pi+                 91   145     0     0     0     0     0     -3.124     -1.311     -1.175      3.588      0.140
   173       111   (pi0)              -91   145     0   214   215     0     0     -1.152     -1.131     -1.339      2.102      0.135
   174       211   pi+                 91   148     0     0     0     0     0     -0.909      0.152      0.196      0.952      0.140
   175      -211   pi-                 91   148     0     0     0     0     0     -1.319     -0.445     -0.246      1.421      0.140
   176      -211   pi-                 91   151     0     0     0     0     0     -0.166     -0.173     -0.160      0.321      0.140
   177       111   (pi0)              -91   151     0   216   217     0     0     -0.452      0.570     -0.033      0.741      0.135
   178       211   pi+                 91   152     0     0     0     0     0      0.562     -0.046      1.187      1.321      0.140
   179       111   (pi0)              -91   152     0   218   220     0     0      0.016     -0.516      0.588      0.794      0.135
   180       211   pi+                 91   157     0     0     0     0     0      0.678      0.485      0.748      1.129      0.140
   181      -211   pi-                 91   157     0     0     0     0     0      4.045      2.071      1.973      4.956      0.140
   182      -211   pi-                 91   158     0     0     0     0     0      0.344     -0.049      0.203      0.425      0.140
   183       111   (pi0)              -91   158     0   221   222     0     0      5.431      3.096      3.206      7.027      0.135
   184      2212   p+                  91   105     0     0     0     0     0      6.297      2.883      4.697      8.420      0.938
   185       111   (pi0)              -91   105     0   223   224     0     0      0.302      0.211      0.201      0.441      0.135
   186        22   gamma               91   111     0     0     0     0     0      0.114      0.007     -0.017      0.115      0.000
   187        22   gamma               91   111     0     0     0     0     0      0.130     -0.112      0.081      0.189      0.000
   188        22   gamma               91   135     0     0     0     0     0     -0.146     -0.006     -0.524      0.544      0.000
   189        22   gamma               91   135     0     0     0     0     0     -0.171      0.086     -0.350      0.399      0.000
   190        22   gamma               91   141     0     0     0     0     0     -0.674     -0.344     -0.447      0.879      0.000
   191        22   gamma               91   141     0     0     0     0     0     -0.023      0.004      0.005      0.023      0.000
   192        22   gamma               91   144     0     0     0     0     0     -0.547     -0.214     -0.008      0.587      0.000
   193        11   e-                  91   144     0     0     0     0     0     -0.051     -0.061     -0.060      0.100      0.001
   194       -11   e+                  91   144     0     0     0     0     0     -0.227     -0.243     -0.412      0.530      0.001
   195      2112   n0                  91   146     0     0     0     0     0     -2.027     -1.104     -0.252      2.505      0.940
   196      -211   pi-                 91   146     0     0     0     0     0     -0.357     -0.217     -0.273      0.518      0.140
   197     -2212   pbar-               91   147     0     0     0     0     0     -0.985      0.234      0.669      1.533      0.938
   198       211   pi+                 91   147     0     0     0     0     0     -0.237      0.094      0.030      0.292      0.140
   199        22   gamma               91   149     0     0     0     0     0     -1.420      0.898      0.552      1.769      0.000
   200        22   gamma               91   149     0     0     0     0     0     -1.390      0.816      0.404      1.661      0.000
   201       211   pi+                 91   159     0     0     0     0     0      1.984      0.747      0.676      2.229      0.140
   202      -211   pi-                 91   159     0     0     0     0     0      2.890      1.476      1.650      3.643      0.140
   203       111   (pi0)              -91   159     0   225   226     0     0      0.478      0.234      0.258      0.607      0.135
   204        22   gamma               91   161     0     0     0     0     0      1.498      0.250      0.878      1.754      0.000
   205        22   gamma               91   161     0     0     0     0     0      0.070      0.009      0.079      0.106      0.000
   206     -2112   nbar0               91   162     0     0     0     0     0      6.978      2.954      5.013      9.134      0.940
   207       111   (pi0)              -91   162     0   227   228     0     0      2.176      0.972      1.537      2.839      0.135
   208        22   gamma               91   165     0     0     0     0     0      0.055     -0.277     -0.000      0.282      0.000
   209        22   gamma               91   165     0     0     0     0     0      0.198     -0.273      0.031      0.338      0.000
   210        22   gamma               91   167     0     0     0     0     0     -0.135      0.185     -0.406      0.466      0.000
   211        22   gamma               91   167     0     0     0     0     0      0.032      0.068     -0.151      0.169      0.000
   212        22   gamma               91   171     0     0     0     0     0     -0.290     -0.420     -0.382      0.638      0.000
   213        22   gamma               91   171     0     0     0     0     0     -0.512     -0.476     -0.470      0.842      0.000
   214        22   gamma               91   173     0     0     0     0     0     -0.962     -0.948     -1.182      1.795      0.000
   215        22   gamma               91   173     0     0     0     0     0     -0.190     -0.183     -0.157      0.307      0.000
   216        22   gamma               91   177     0     0     0     0     0     -0.001     -0.004      0.009      0.010      0.000
   217        22   gamma               91   177     0     0     0     0     0     -0.451      0.574     -0.041      0.731      0.000
   218        22   gamma               91   179     0     0     0     0     0     -0.055     -0.193      0.187      0.274      0.000
   219        11   e-                  91   179     0     0     0     0     0      0.023     -0.106      0.128      0.168      0.001
   220       -11   e+                  91   179     0     0     0     0     0      0.047     -0.217      0.273      0.351      0.001
   221        22   gamma               91   183     0     0     0     0     0      4.496      2.514      2.609      5.774      0.000
   222        22   gamma               91   183     0     0     0     0     0      0.935      0.582      0.597      1.253      0.000
   223        22   gamma               91   185     0     0     0     0     0      0.093      0.120      0.027      0.154      0.000
   224        22   gamma               91   185     0     0     0     0     0      0.209      0.091      0.174      0.287      0.000
   225        22   gamma               91   203     0     0     0     0     0      0.348      0.187      0.251      0.469      0.000
   226        22   gamma               91   203     0     0     0     0     0      0.130      0.047      0.007      0.138      0.000
   227        22   gamma               91   207     0     0     0     0     0      0.315      0.093      0.194      0.382      0.000
   228        22   gamma               91   207     0     0     0     0     0      1.861      0.879      1.343      2.457      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000      0.000    124.999    124.999

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Junction Listing  (complete event)  ------------
 
    no  kind  col0  col1  col2 endc0 endc1 endc2 stat0 stat1 stat2
    no junctions present 

 --------  End PYTHIA Junction Listing  --------------------------

 Pythia::next(): 1000 events have been generated 
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  

 Pythia::next(): 2000 events have been generated 

 Pythia::next(): 3000 events have been generated 

 Pythia::next(): 4000 events have been generated 

 Pythia::next(): 5000 events have been generated 

 Pythia::next(): 6000 events have been generated 

 Pythia::next(): 7000 events have been generated 

 Pythia::next(): 8000 events have been generated 

 Pythia::next(): 9000 events have been generated 

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      9   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:06       deviation from energy-momentum conservation

        1.00*10^ 4  X                                                                                                   
        0.96*10^ 4  X                                                                                                   
        0.92*10^ 4  X                                                                                                   
        0.88*10^ 4  X                                                                                                   
        0.84*10^ 4  X                                                                                                   
        0.80*10^ 4  X                                                                                                   
        0.76*10^ 4  X                                                                                                   
        0.72*10^ 4  X                                                                                                   
        0.68*10^ 4  X                                                                                                   
        0.64*10^ 4  X                                                                                                   
        0.60*10^ 4  X                                                                                                   
        0.56*10^ 4  X                                                                                                   
        0.52*10^ 4  X                                                                                                   
        0.48*10^ 4  X                                                                                                   
        0.44*10^ 4  X                                                                                                   
        0.40*10^ 4  X                                                                                                   
        0.36*10^ 4  X                                                                                                   
        0.32*10^ 4  X                                                                                                   
        0.28*10^ 4  X                                                                                                   
        0.24*10^ 4  X                                                                                                   
        0.20*10^ 4  X                                                                                                   
        0.16*10^ 4  X                                                                                                   
        0.12*10^ 4  X                                                                                                   
        0.08*10^ 4  X                                                                                                   
        0.04*10^ 4  X                                                                                                   

          Contents                                                                                                      
            *10^ 4  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-5  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-6  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-7  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10000    Mean =  5.0000e-07    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+04    Rms  =  0.0000e+00    Overflow  =  0.0000e+00    High edge =  1.0000e-04


  2013-09-20 16:06       deviation from charge conservation

        1.00*10^ 4                              X                            
        0.96*10^ 4                              X                            
        0.92*10^ 4                              X                            
        0.88*10^ 4                              X                            
        0.84*10^ 4                              X                            
        0.80*10^ 4                              X                            
        0.76*10^ 4                              X                            
        0.72*10^ 4                              X                            
        0.68*10^ 4                              X                            
        0.64*10^ 4                              X                            
        0.60*10^ 4                              X                            
        0.56*10^ 4                              X                            
        0.52*10^ 4                              X                            
        0.48*10^ 4                              X                            
        0.44*10^ 4                              X                            
        0.40*10^ 4                              X                            
        0.36*10^ 4                              X                            
        0.32*10^ 4                              X                            
        0.28*10^ 4                              X                            
        0.24*10^ 4                              X                            
        0.20*10^ 4                              X                            
        0.16*10^ 4                              X                            
        0.12*10^ 4                              X                            
        0.08*10^ 4                              X                            
        0.04*10^ 4                              X                            

          Contents                                                           
            *10^ 4  000000000000000000000000000010000000000000000000000000000
            *10^ 3  000000000000000000000000000000000000000000000000000000000
            *10^ 2  000000000000000000000000000000000000000000000000000000000
            *10^ 1  000000000000000000000000000000000000000000000000000000000

          Low edge  -----------------------------                            
            *10^ 0  998887776665554443332221110000001112223334445556667778889
            *10^-1  518518518518518518518518518511581581581581581581581581581
            *10^-2  073073073073073073073073073077037037037037037037037037037

   Entries  =       10000    Mean =  0.0000e+00    Underflow =  0.0000e+00    Low edge  = -9.5000e+00
   All chan =  1.0000e+04    Rms  =  0.0000e+00    Overflow  =  0.0000e+00    High edge =  9.5000e+00


  2013-09-20 16:06       final particle multiplicity

        2.24*10^ 2         4                                     4                                                      
        2.16*10^ 2         X                                     X  X5 8                                                
        2.08*10^ 2         X                                     X 8XX5X X                                              
        2.00*10^ 2         X                                   5 X XXXXX X 8  5                                         
        1.92*10^ 2         X4                                  X X XXXXX XXXX5X    1                                    
        1.84*10^ 2         XX                                  X X XXXXX6XXXXXX4  5X3                                   
        1.76*10^ 2         XX                                  X1XXXXXXXXXXXXXXX 3XXX                                   
        1.68*10^ 2         XX                                3 XXXXXXXXXXXXXXXXX XXXX                                   
        1.60*10^ 2         XX                                X6XXXXXXXXXXXXXXXXX8XXXX3                                  
        1.52*10^ 2         XX                             16XXXXXXXXXXXXXXXXXXXXXXXXXX  6                               
        1.44*10^ 2        9XX                             XXXXXXXXXXXXXXXXXXXXXXXXXXXX53X                               
        1.36*10^ 2        XXX                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6X                             
        1.28*10^ 2        XXX                            1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 6X                          
        1.20*10^ 2        XXX                           1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX 4                        
        1.12*10^ 2        XXXX                          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XX3X                        
        1.04*10^ 2        XXXX1                     3X 5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                        
        0.96*10^ 2        XXXXX                     XX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 1X  3                  
        0.88*10^ 2       9XXXXX                     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5XX  X                  
        0.80*10^ 2       XXXXXX                     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX68XX                 
        0.72*10^ 2       XXXXXX                    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                 
        0.64*10^ 2       XXXXXX                  85XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX66               
        0.56*10^ 2       XXXXXX1               92XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX              
        0.48*10^ 2       XXXXXXX            5 1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 2           
        0.40*10^ 2      5XXXXXXX1          2X5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6X79 X4      
        0.32*10^ 2      XXXXXXXXX         6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX715   
        0.24*10^ 2    7 XXXXXXXXX      267XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2  
        0.16*10^ 2    X XXXXXXXXX9   44XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1X
        0.08*10^ 2    XXXXXXXXXXXX689XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 2  0000001211000000000000000000000001011111111112122222121111111111111111111111000000000000000000000000
            *10^ 1  0020384181943100011122234345566790901244565961701101809998975788754343312201889779866543433343322101
            *10^ 0  0028673972793556711812944615020284103159227699666244182828698005840893615865496780011687289205058896
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =       10000    Mean =  5.0917e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  9.8450e+03    Rms  =  2.1681e+01    Overflow  =  1.5500e+02    High edge =  9.9500e+01


  2013-09-20 16:06       dn/dp for particles

        7.50*10^ 4  5                                                                                                   
        7.25*10^ 4  X                                                                                                   
        7.00*10^ 4  X3                                                                                                  
        6.75*10^ 4  XX                                                                                                  
        6.50*10^ 4  XX                                                                                                  
        6.25*10^ 4  XX                                                                                                  
        6.00*10^ 4  XX                                                                                                  
        5.75*10^ 4  XX                                                                                                  
        5.50*10^ 4  XX3                                                                                                 
        5.25*10^ 4  XXX                                                                                                 
        5.00*10^ 4  XXX                                                                                                 
        4.75*10^ 4  XXX                                                                                                 
        4.50*10^ 4  XXX                                                                                                 
        4.25*10^ 4  XXX4                                                                                                
        4.00*10^ 4  XXXX                                                                                                
        3.75*10^ 4  XXXX                                                                                                
        3.50*10^ 4  XXXX                                                                                                
        3.25*10^ 4  XXXX9                                                                                               
        3.00*10^ 4  XXXXX                                                                                               
        2.75*10^ 4  XXXXX3                                                                                              
        2.50*10^ 4  XXXXXX                                                                                              
        2.25*10^ 4  XXXXXX6                                                                                             
        2.00*10^ 4  XXXXXXX2                                                                                            
        1.75*10^ 4  XXXXXXXX2                                                                                           
        1.50*10^ 4  XXXXXXXXX4                                                                                          
        1.25*10^ 4  XXXXXXXXXX71                                                                                        
        1.00*10^ 4  XXXXXXXXXXXX73                                                                                      
        0.75*10^ 4  XXXXXXXXXXXXXXX642                                                                                  
        0.50*10^ 4  XXXXXXXXXXXXXXXXXXX87654321                                                                         
        0.25*10^ 4  XXXXXXXXXXXXXXXXXXXXXXXXXXXX9998877666555444444333333322222222222221111111111111111111111111111111  

          Contents                                                                                                      
            *10^ 4  7654322111110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  3831251853109876654443333222222111111111111110000000000000000000000000000000000000000000000000000000
            *10^ 2  7120384044631245059629742975321997755433210009987777666565555444443333323222222222222111111111111111
            *10^ 1  0445106785845447363127113199476246990934418326187854841602002780138776290989855532304977887455553622

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =      518206    Mean =  2.0298e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  5.1176e+05    Rms  =  2.8901e+00    Overflow  =  6.4430e+03    High edge =  2.0000e+01


  2013-09-20 16:06       particle flow in event plane

       18.64*10^ 2                                                                   6                              6   
       18.56*10^ 2                                                                   X                              X   
       18.48*10^ 2                                                       4           X                              X   
       18.40*10^ 2                      3                       8        X           X                              X   
       18.32*10^ 2                      X              X        X        X 4         X                            8 X   
       18.24*10^ 2                    6 X              X 1      X        X5X         X                            X X   
       18.16*10^ 2                    X X         3    X X      X        XXX         X                            X X   
       18.08*10^ 2            3       X X         X   8X X      X9   1   XXX         X        5                   X X  X
       18.00*10^ 2            X       X X         X   XX X      XX   X   XXX         X        X 8       9         X X5 X
       17.92*10^ 2      X   6 X    3  X X         X   XX X      XX  XX8  XXX3       5X    5   X X       X         X XX X
       17.84*10^ 2     5X3 4X X    X  X X         X   XX X      XX  XXX  XXXX 5     XX    X   X X       X 5       X4XX X
       17.76*10^ 2     XXX XX X    X  X X         X   XX X      XX  XXX  XXXX X     XX16  X   X X  3    X X       XXXX6X
       17.68*10^ 2     XXX XX X    X  X X     5   X   XX X      XX  XXX 1XXXX X     XXXX  X   X X  X  3 X X1      XXXXXX
       17.60*10^ 2   43XXX XX9X 5  X  X X     X   X  9XX X  54 1XX  XXX XXXXX X     XXXX  X   X X  X  X X6XX 3    XXXXXX
       17.52*10^ 2  8XXXXX6XXXX X6 X  X X     X   XX XXX X 9XX XXX  XXX XXXXX X     XXXX  X9  X X  X  X XXXX X    XXXXXX
       17.44*10^ 2  XXXXXXXXXXX XX9X 4X8X     X   XX XXX X XXX XXX  XXX XXXXX X     XXXX  XX  X X95X  X6XXXX8X   8XXXXXX
       17.36*10^ 2  XXXXXXXXXXX XXXX XXXX 4   X   XX5XXX X XXX4XXX  XXX XXXXX X     XXXX  XX 6X XXXX  XXXXXXXX   XXXXXXX
       17.28*10^ 2  XXXXXXXXXXX XXXX XXXX X   X  XXXXXXX X XXXXXXX  XXX XXXXXXX 3X 5XXXX  XX XX XXXX  XXXXXXXX  5XXXXXXX
       17.20*10^ 2  XXXXXXXXXXX XXXX5XXXX9X3  X  XXXXXXX X XXXXXXX  XXX XXXXXXX XX XXXXX  XX XX6XXXX 5XXXXXXXX  XXXXXXXX
       17.12*10^ 2  XXXXXXXXXXX XXXXXXXXXXXX68X3 XXXXXXX X1XXXXXXX8 XXX8XXXXXXX XX XXXXX  XX4XXXXXXX XXXXXXXXX  XXXXXXXX
       17.04*10^ 2  XXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXX XXXXXXXXXXX XX XXXXX4 XXXXXXXXXX XXXXXXXXX 5XXXXXXXX
       16.96*10^ 2  XXXXXXXXXXX4XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXX XXXXXXXXXXX1XX XXXXXX XXXXXXXXXX XXXXXXXXX XXXXXXXXX
       16.88*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXX XXXXXXXXXXXXXX XXXXXX XXXXXXXXXX XXXXXXXXX XXXXXXXXX
       16.80*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXX5XXXXXXXXXXXXXX XXXXXX XXXXXXXXXX6XXXXXXXXX XXXXXXXXX
       16.72*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6XXXXXX9XXXXXXXXXXXXXXXXXXXX XXXXXXXXX
       16.64*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6XXXXXXXXX

          Contents                                                                                                      
            *10^ 3  1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
            *10^ 2  7777777777867777778787777777778777886877777788767877788877767767787766777787777767777777776777878778
            *10^ 1  5558974785095448132431310160021535037105553530179091642282882262866797850301944771649586456024376970
            *10^ 0  0540289999216936691249149046480229622751651387062100130768092894819391817347830076219701241042091638

          Low edge  --------------------------------------------------                                                  
            *10^ 0  3332222222222222222111111111111111100000000000000000000000000000001111111111111111222222222222222233
            *10^-1  1009887765543322100988776554332110098876655433211000112334556678890011233455677889001223345567788900
            *10^-2  4825936048159260471582603715826937148259370481593606395184073952841739628517306285174062951840639528

   Entries  =      175656    Mean =  4.9792e-04    Underflow =  0.0000e+00    Low edge  = -3.1416e+00
   All chan =  1.7566e+05    Rms  =  1.8156e+00    Overflow  =  0.0000e+00    High edge =  3.1416e+00


  2013-09-20 16:06       energy flow in event plane

       12.10*10^ 3                                                                                                   5  
       12.00*10^ 3                                                                                                   X  
       11.90*10^ 3                                                                                                   X  
       11.80*10^ 3                                                                                                   X  
       11.70*10^ 3                                                                                                   X  
       11.60*10^ 3     6                                            4                7                               X  
       11.50*10^ 3     X                                            X           7    X                               X  
       11.40*10^ 3     X                                     1      X   5 3     X    X                               X  
       11.30*10^ 3   5 X     1          4                    X   X  X   X4X8    X    X                               X  
       11.20*10^ 3   X X     X    6     X                  8 X   X  XX  XXXX    X    X    8                          X9 
       11.10*10^ 3   X X    XX    X     X             4    X X   X  XX 8XXXX    X   XX    X    2                     XX 
       11.00*10^ 3   X8X 3  XX    X     X             X1   X X 3 X  XX XXXXX    X   XX    X    X         5 3   6     XX 
       10.90*10^ 3  5XXX X  XX    X     X  1          XX   X X X X  XX XXXXX  3 X   XX4   X   XX         X X   X  7  XX 
       10.80*10^ 3  XXXX X  XX    X  9  X  X          XX 5 X X X X  XX XXXXX  X X   XXX   X   XX         X X   X 7X  XX 
       10.70*10^ 3  XXXX X  XX    X67X  X  X  3    3  XX XXX X X X  XX2XXXXX4 X X   XXX 9 X   XX         X X 5 X XX  XX 
       10.60*10^ 3  XXXX X6 XX    XXXX  X  X  X    X  XX XXX X X X  XXXXXXXXX X X   XXX X X   XX        7X X9X X XX 5XX6
       10.50*10^ 3  XXXX XX2XX    XXXXX X2 X  X    X  XX XXX XXX X2 XXXXXXXXX X X   XXX X X 3 XX        XX XXX X XX XXXX
       10.40*10^ 3  XXXX XXXXX    XXXXX XX X  X 4  X9 XX XXX XXX XX XXXXXXXXX X XX 3XXX X XXX XX        XX XXX X5XX7XXXX
       10.30*10^ 3  XXXX XXXXX1   XXXXX XX X  X X2 XX XX XXX6XXX XX XXXXXXXXX X9XX XXXX X XXX XX   1    XX XXX XXXXXXXXX
       10.20*10^ 3  XXXX XXXXXX   XXXXX6XX1X  X XX XX9XX XXXXXXX XX XXXXXXXXX XXXX XXXX X XXX XX   X3393XX XXX XXXXXXXXX
       10.10*10^ 3  XXXX XXXXXX   XXXXXXXXXX  X XX XXXXX XXXXXXX XX XXXXXXXXX XXXX XXXX X XXX XX  XXXXXXXX XXX XXXXXXXXX
       10.00*10^ 3  XXXX5XXXXXX X XXXXXXXXXX  X XXXXXXXX XXXXXXX XX XXXXXXXXX XXXX XXXX X XXX XX  XXXXXXXX5XXX XXXXXXXXX
        9.90*10^ 3  XXXXXXXXXXX2X1XXXXXXXXXX  X XXXXXXXX XXXXXXX XX XXXXXXXXX XXXX XXXX X XXX XX85XXXXXXXXXXXX XXXXXXXXX
        9.80*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXX14X XXXXXXXX XXXXXXX7XX1XXXXXXXXX XXXX XXXX4X XXX5XXXXXXXXXXXXXXXX XXXXXXXXX
        9.70*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX XXXXXXXXXXXXXXXXXXXX3XXXXXXXXX
        9.60*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXX XXXXXXXXXXX5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        9.50*10^ 3  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XXXXXXXXXXXXXXXXXXXX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 4  1111011111101011111111110010111111110111111101101111111110111101111010111011001111111101110111111111
            *10^ 3  0101900011090910000010009909000000109001010091091101111109001090110909100901990000000090009000000210
            *10^ 2  8295995412280816675124187767320631094771235973475260323264824473158765144790881211115999566937835015
            *10^ 1  5586536201120166790642111430420399417508610370214028543844397003074495803502850133937553953657775596

          Low edge  --------------------------------------------------                                                  
            *10^ 0  3332222222222222222111111111111111100000000000000000000000000000001111111111111111222222222222222233
            *10^-1  1009887765543322100988776554332110098876655433211000112334556678890011233455677889001223345567788900
            *10^-2  4825936048159260471582603715826937148259370481593606395184073952841739628517306285174062951840639528

   Entries  =      175656    Mean = -1.4973e-03    Underflow =  0.0000e+00    Low edge  = -3.1416e+00
   All chan =  1.0563e+06    Rms  =  1.8170e+00    Overflow  =  0.0000e+00    High edge =  3.1416e+00


  2013-09-20 16:06       parton flow in event plane

       14.40*10^ 2                                    1                                                                 
       14.32*10^ 2                                    X                                                                 
       14.24*10^ 2                                    X                                                                 
       14.16*10^ 2                                    X                                                                 
       14.08*10^ 2                                    X                      6                                          
       14.00*10^ 2     6                              X                      X                           5 3        4   
       13.92*10^ 2     X                              X     9 98             X                     X     X X        X   
       13.84*10^ 2     X 1 6         6  69        6   X     X XX  5  X       X      9              X     X X        X1 5
       13.76*10^ 2     X X X        1X 3XX        X   X     X XX51X  X     5 X      X         X    X  5  X X        XX X
       13.68*10^ 2     X6X X        XX XXX        X   X     X XXXXX  X    6X X  9   X1  6 6 4 X    X  X  X X        XX X
       13.60*10^ 2     XXX X     5 5XX XXX  X     X   X 8   X XXXXX  X    XX X1 X  8XXX X X X X36  X 9X 8X X     4  XX X
       13.52*10^ 2     XXXXX     X XXX XXX1 X1    X   X XX 1X XXXXX4 X 3  XX XX X  XXXX X6X X XXX  X XX XX X   6 X XXX X
       13.44*10^ 2     XXXXX     X XXX XXXX XX    X   X XX XX XXXXXX X X  XX6XX X  XXXX XXX5X XXX  X XX1XX X3  X X XXX X
       13.36*10^ 2   1 XXXXX   3 X5XXX XXXX6XX    X   X XX XX XXXXXX X X 8XXXXX8X  XXXX XXXXX XXX  X XXXXX XX  X X8XXX3X
       13.28*10^ 2  XX XXXXX 3 X XXXXX XXXXXXX8   X   X6XX XX XXXXXX3X X XXXXXXXX6 XXXX1XXXXX XXX  X XXXXX5XX  X XXXXXXX
       13.20*10^ 2  XX XXXXX X5X XXXXX XXXXXXXX   X   XXXX XX XXXXXXXX X XXXXXXXXX XXXXXXXXXX XXX  X XXXXXXXX58X XXXXXXX
       13.12*10^ 2  XX XXXXX XXX XXXXX1XXXXXXXX   X  9XXXX XX XXXXXXXX X6XXXXXXXXX XXXXXXXXXX XXX  X XXXXXXXXXXX6XXXXXXX
       13.04*10^ 2  XX XXXXXXXXX3XXXXXXXXXXXXXX   X 8XXXXX XX XXXXXXXX XXXXXXXXXXX XXXXXXXXXX XXX  X XXXXXXXXXXXXXXXXXXX
       12.96*10^ 2  XX XXXXXXXXXXXXXXXXXXXXXXXX   X XXXXXX XX XXXXXXXX XXXXXXXXXXX XXXXXXXXXX9XXX6 X9XXXXXXXXXXXXXXXXXXX
       12.88*10^ 2  XX6XXXXXXXXXXXXXXXXXXXXXXXX   X XXXXXX9XX XXXXXXXX XXXXXXXXXXX1XXXXXXXXXXXXXXX6XXXXXXXXXXXXXXXXXXXXX
       12.80*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX  9X XXXXXXXXX XXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
       12.72*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX  XX5XXXXXXXXX9XXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
       12.64*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXX5XXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
       12.56*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
       12.48*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 3  1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
            *10^ 2  3323333333332333333333333332223233433323323333333323333334333323333333333233322323333333333333333333
            *10^ 1  2289675802139535680788436426678601325584979976842844036740536285866264646975598995735929311405359738
            *10^ 0  8957572142608626915013530560491821358275111029072476945215347518310159503564735259278644868995425700

          Low edge  --------------------------------------------------                                                  
            *10^ 0  3332222222222222222111111111111111100000000000000000000000000000001111111111111111222222222222222233
            *10^-1  1009887765543322100988776554332110098876655433211000112334556678890011233455677889001223345567788900
            *10^-2  4825936048159260471582603715826937148259370481593606395184073952841739628517306285174062951840639528

   Entries  =      134392    Mean =  4.7141e-03    Underflow =  0.0000e+00    Low edge  = -3.1416e+00
   All chan =  1.3439e+05    Rms  =  1.8145e+00    Overflow  =  0.0000e+00    High edge =  3.1416e+00


  2013-09-20 16:06       dn/dy all primaries

        2.00*10^ 4                                                   33                                                 
        1.92*10^ 4                                                   XX                                                 
        1.84*10^ 4                                                  1XX4                                                
        1.76*10^ 4                                                  XXXX                                                
        1.68*10^ 4                                                  XXXX                                                
        1.60*10^ 4                                                  XXXX                                                
        1.52*10^ 4                                                 5XXXX3                                               
        1.44*10^ 4                                                 XXXXXX                                               
        1.36*10^ 4                                                 XXXXXX                                               
        1.28*10^ 4                                                 XXXXXX                                               
        1.20*10^ 4                                                4XXXXXX5                                              
        1.12*10^ 4                                                XXXXXXXX                                              
        1.04*10^ 4                                                XXXXXXXX                                              
        0.96*10^ 4                                                XXXXXXXX                                              
        0.88*10^ 4                                               3XXXXXXXX4                                             
        0.80*10^ 4                                               XXXXXXXXXX                                             
        0.72*10^ 4                                               XXXXXXXXXX                                             
        0.64*10^ 4                                              2XXXXXXXXXX1                                            
        0.56*10^ 4                                              XXXXXXXXXXXX                                            
        0.48*10^ 4                                              XXXXXXXXXXXX                                            
        0.40*10^ 4                                             XXXXXXXXXXXXX9                                           
        0.32*10^ 4                                            1XXXXXXXXXXXXXX1                                          
        0.24*10^ 4                                            XXXXXXXXXXXXXXXX                                          
        0.16*10^ 4                                          2XXXXXXXXXXXXXXXXX92                                        
        0.08*10^ 4                                     12247XXXXXXXXXXXXXXXXXXXX74211                                   

          Contents                                                                                                      
            *10^ 4  0000000000000000000000000000000000000000000000111111110000000000000000000000000000000000000000000000
            *10^ 3  0000000000000000000000000000000000000000112458147997418532100000000000000000000000000000000000000000
            *10^ 2  0000000000000000000000000000000000001135055072586449653794595311000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000112244837070455138553563259048360532100000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =      175656    Mean = -2.0426e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+01
   All chan =  1.7566e+05    Rms  =  7.7149e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:06       multiplicity status code 85

        1.00*10^ 4  X                                                 
        0.96*10^ 4  X                                                 
        0.92*10^ 4  X                                                 
        0.88*10^ 4  X                                                 
        0.84*10^ 4  X                                                 
        0.80*10^ 4  X                                                 
        0.76*10^ 4  X                                                 
        0.72*10^ 4  X                                                 
        0.68*10^ 4  X                                                 
        0.64*10^ 4  X                                                 
        0.60*10^ 4  X                                                 
        0.56*10^ 4  X                                                 
        0.52*10^ 4  X                                                 
        0.48*10^ 4  X                                                 
        0.44*10^ 4  X                                                 
        0.40*10^ 4  X                                                 
        0.36*10^ 4  X                                                 
        0.32*10^ 4  X                                                 
        0.28*10^ 4  X                                                 
        0.24*10^ 4  X                                                 
        0.20*10^ 4  X                                                 
        0.16*10^ 4  X                                                 
        0.12*10^ 4  X                                                 
        0.08*10^ 4  X                                                 
        0.04*10^ 4  X                                                 

          Contents                                                    
            *10^ 4  10000000000000000000000000000000000000000000000000
            *10^ 3  00000000000000000000000000000000000000000000000000
            *10^ 2  00000000000000000000000000000000000000000000000000
            *10^ 1  00000000000000000000000000000000000000000000000000

          Low edge  -                                                 
            *10^ 1  00000000000111111111122222222223333333333444444444
            *10^ 0  00123456789012345678901234567890123456789012345678
            *10^-1  55555555555555555555555555555555555555555555555555

   Entries  =       10000    Mean =  0.0000e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  0.0000e+00    Overflow  =  0.0000e+00    High edge =  4.9500e+01


  2013-09-20 16:06       multiplicity status code 86

        1.00*10^ 4  X                                                 
        0.96*10^ 4  X                                                 
        0.92*10^ 4  X                                                 
        0.88*10^ 4  X                                                 
        0.84*10^ 4  X                                                 
        0.80*10^ 4  X                                                 
        0.76*10^ 4  X                                                 
        0.72*10^ 4  X                                                 
        0.68*10^ 4  X                                                 
        0.64*10^ 4  X                                                 
        0.60*10^ 4  X                                                 
        0.56*10^ 4  X                                                 
        0.52*10^ 4  X                                                 
        0.48*10^ 4  X                                                 
        0.44*10^ 4  X                                                 
        0.40*10^ 4  X                                                 
        0.36*10^ 4  X                                                 
        0.32*10^ 4  X                                                 
        0.28*10^ 4  X                                                 
        0.24*10^ 4  X                                                 
        0.20*10^ 4  X                                                 
        0.16*10^ 4  X                                                 
        0.12*10^ 4  X                                                 
        0.08*10^ 4  X                                                 
        0.04*10^ 4  X                                                 

          Contents                                                    
            *10^ 4  10000000000000000000000000000000000000000000000000
            *10^ 3  00000000000000000000000000000000000000000000000000
            *10^ 2  00000000000000000000000000000000000000000000000000
            *10^ 1  00000000000000000000000000000000000000000000000000

          Low edge  -                                                 
            *10^ 1  00000000000111111111122222222223333333333444444444
            *10^ 0  00123456789012345678901234567890123456789012345678
            *10^-1  55555555555555555555555555555555555555555555555555

   Entries  =       10000    Mean =  0.0000e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  0.0000e+00    Overflow  =  0.0000e+00    High edge =  4.9500e+01


  2013-09-20 16:06       multiplicity status code 83

        1.04*10^ 3  2                                                 
        1.00*10^ 3  X                                                 
        0.96*10^ 3  X                                                 
        0.92*10^ 3  X     6                                           
        0.88*10^ 3  X     X                                           
        0.84*10^ 3  X     X3                                          
        0.80*10^ 3  X     XXX3                                        
        0.76*10^ 3  X    6XXXX                                        
        0.72*10^ 3  X    XXXXX                                        
        0.68*10^ 3  X    XXXXX5                                       
        0.64*10^ 3  X   4XXXXXX                                       
        0.60*10^ 3  X   XXXXXXX                                       
        0.56*10^ 3  X   XXXXXXX                                       
        0.52*10^ 3  X   XXXXXXX6                                      
        0.48*10^ 3  X   XXXXXXXX8                                     
        0.44*10^ 3  X   XXXXXXXXX2                                    
        0.40*10^ 3  X   XXXXXXXXXX                                    
        0.36*10^ 3  X  1XXXXXXXXXX6                                   
        0.32*10^ 3  X  XXXXXXXXXXXX7                                  
        0.28*10^ 3  X  XXXXXXXXXXXXX2                                 
        0.24*10^ 3  X  XXXXXXXXXXXXXX5                                
        0.20*10^ 3  X  XXXXXXXXXXXXXXX                                
        0.16*10^ 3  X 9XXXXXXXXXXXXXXX56                              
        0.12*10^ 3  X XXXXXXXXXXXXXXXXXX5                             
        0.08*10^ 3  X XXXXXXXXXXXXXXXXXXX8612                         
        0.04*10^ 3  X4XXXXXXXXXXXXXXXXXXXXXXX83221 1 1                

          Contents                                                    
            *10^ 3  10000000000000000000000000000000000000000000000000
            *10^ 2  00136798776544332211000000000000000000000000000000
            *10^ 1  01521401975070404244976443100000000000000000000000
            *10^ 0  85646230839439279105932571488615041100100000000000

          Low edge  -                                                 
            *10^ 1  00000000000111111111122222222223333333333444444444
            *10^ 0  00123456789012345678901234567890123456789012345678
            *10^-1  55555555555555555555555555555555555555555555555555

   Entries  =       10000    Mean =  8.6655e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  5.5230e+00    Overflow  =  0.0000e+00    High edge =  4.9500e+01


  2013-09-20 16:06       multiplicity status code 84

        1.04*10^ 3  2                                                 
        1.00*10^ 3  X                                                 
        0.96*10^ 3  X                                                 
        0.92*10^ 3  X                                                 
        0.88*10^ 3  X     86                                          
        0.84*10^ 3  X     XX                                          
        0.80*10^ 3  X    6XX5                                         
        0.76*10^ 3  X    XXXX4                                        
        0.72*10^ 3  X    XXXXX                                        
        0.68*10^ 3  X    XXXXX                                        
        0.64*10^ 3  X    XXXXXX                                       
        0.60*10^ 3  X   4XXXXXX                                       
        0.56*10^ 3  X   XXXXXXX5                                      
        0.52*10^ 3  X   XXXXXXXX                                      
        0.48*10^ 3  X   XXXXXXXX5                                     
        0.44*10^ 3  X   XXXXXXXXX4                                    
        0.40*10^ 3  X   XXXXXXXXXX2                                   
        0.36*10^ 3  X  3XXXXXXXXXXX                                   
        0.32*10^ 3  X  XXXXXXXXXXXX3                                  
        0.28*10^ 3  X  XXXXXXXXXXXXX                                  
        0.24*10^ 3  X  XXXXXXXXXXXXX5                                 
        0.20*10^ 3  X  XXXXXXXXXXXXXXX21                              
        0.16*10^ 3  X 1XXXXXXXXXXXXXXXXX                              
        0.12*10^ 3  X XXXXXXXXXXXXXXXXXX60                            
        0.08*10^ 3  X XXXXXXXXXXXXXXXXXXXX51                          
        0.04*10^ 3  X7XXXXXXXXXXXXXXXXXXXXXXX95322111 11              

          Contents                                                    
            *10^ 3  10000000000000000000000000000000000000000000000000
            *10^ 2  00135788776544322211100000000000000000000000000000
            *10^ 1  02237876834461692066085433110000000000000000000000
            *10^ 0  89437326170116602174529284937752302300100000000000

          Low edge  -                                                 
            *10^ 1  00000000000111111111122222222223333333333444444444
            *10^ 0  00123456789012345678901234567890123456789012345678
            *10^-1  55555555555555555555555555555555555555555555555555

   Entries  =       10000    Mean =  8.7141e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  5.5726e+00    Overflow  =  0.0000e+00    High edge =  4.9500e+01


  2013-09-20 16:06       dn/dy primaries junction

        2.00*10^ 4                                                   33                                                 
        1.92*10^ 4                                                   XX                                                 
        1.84*10^ 4                                                  1XX4                                                
        1.76*10^ 4                                                  XXXX                                                
        1.68*10^ 4                                                  XXXX                                                
        1.60*10^ 4                                                  XXXX                                                
        1.52*10^ 4                                                 5XXXX3                                               
        1.44*10^ 4                                                 XXXXXX                                               
        1.36*10^ 4                                                 XXXXXX                                               
        1.28*10^ 4                                                 XXXXXX                                               
        1.20*10^ 4                                                4XXXXXX5                                              
        1.12*10^ 4                                                XXXXXXXX                                              
        1.04*10^ 4                                                XXXXXXXX                                              
        0.96*10^ 4                                                XXXXXXXX                                              
        0.88*10^ 4                                               3XXXXXXXX4                                             
        0.80*10^ 4                                               XXXXXXXXXX                                             
        0.72*10^ 4                                               XXXXXXXXXX                                             
        0.64*10^ 4                                              2XXXXXXXXXX1                                            
        0.56*10^ 4                                              XXXXXXXXXXXX                                            
        0.48*10^ 4                                              XXXXXXXXXXXX                                            
        0.40*10^ 4                                             XXXXXXXXXXXXX9                                           
        0.32*10^ 4                                            1XXXXXXXXXXXXXX1                                          
        0.24*10^ 4                                            XXXXXXXXXXXXXXXX                                          
        0.16*10^ 4                                          2XXXXXXXXXXXXXXXXX92                                        
        0.08*10^ 4                                     12247XXXXXXXXXXXXXXXXXXXX74211                                   

          Contents                                                                                                      
            *10^ 4  0000000000000000000000000000000000000000000000111111110000000000000000000000000000000000000000000000
            *10^ 3  0000000000000000000000000000000000000000112458147997418532100000000000000000000000000000000000000000
            *10^ 2  0000000000000000000000000000000000001135055072586449653794595311000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000112244837070455138553563259048360532100000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =      175656    Mean = -2.0426e-03    Underflow =  0.0000e+00    Low edge  = -1.0000e+01
   All chan =  1.7566e+05    Rms  =  7.7149e-01    Overflow  =  0.0000e+00    High edge =  1.0000e+01
pythia8-8.1.86.orig/examples/outref/out090000644000175000017500000053347112357054711016406 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:02:59    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 8.000e+03 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> t tbar                                  601 |   1.510e-06 |
 | q qbar -> t tbar                               602 |   3.802e-07 |
 | q q -> t q (t-channel W+-)                     603 |   1.418e-06 |
 | f fbar -> t tbar (s-channel gamma*/Z0)         604 |   2.659e-09 |
 | f fbar -> t qbar (s-channel W+-)               605 |   5.498e-08 |
 | gamma gamma -> t tbar                          606 |   0.000e+00 |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | q g -> q gamma (udscb)                         201 |   3.652e-04 |
 | q qbar -> g gamma                              202 |   2.368e-05 |
 | g g -> g gamma                                 203 |   1.962e-07 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   52.12 mb               | 
 |                                                                  | 
 |    pT0 =  2.77 gives sigmaInteraction =  218.50 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 8000.000 |    14000.000    10.00000             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:mHatMin                            |                 40.00000 |      4.00000         0.0             | 
 | PhaseSpace:pTHatMin                           |                 20.00000 |          0.0         0.0             | 
 | SecondHard:generate                           |                       on |          off                         | 
 | SecondHard:PhotonAndJet                       |                       on |          off                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | Top:all                                       |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  4.000e+03, e =  4.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -4.000e+03, e =  4.000e+03, m =  9.383e-01.

 In 1: id =    2, x =  2.955e-02, pdf =  6.112e-01 at Q2 =  6.247e+04.
 In 2: id =   -1, x =  3.303e-02, pdf =  2.695e-01 at same Q2.

 Subprocess f fbar -> t qbar (s-channel W+-) with code 605 is 2 -> 2.
 It has sHat =  6.247e+04,    tHat = -1.348e+04,    uHat = -2.095e+04,
       pTHat =  6.715e+01,   m3Hat =  1.674e+02,   m4Hat =  4.800e+00,
    thetaHat =  1.352e+00,  phiHat =  3.539e+00.
     alphaEM =  7.908e-03,  alphaS =  1.163e-01    at Q2 =  6.247e+04.

 Impact parameter b =  1.206e+00 gives enhancement factor =  3.453e-01.
 Max pT scale for MPI =  2.220e+01, ISR =  2.499e+02, FSR =  2.499e+02.
 Number of MPI =     3, ISR =     9, FSRproc =    64, FSRreson =    11.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3         2   (u)                -21     1     0     5     6   101     0      0.000      0.000    118.206    118.206      0.000
     4        -1   (dbar)             -21     2     0     5     6     0   101      0.000      0.000   -132.123    132.123      0.000
     5         6   (t)                -22     3     4    11    12   102     0    -61.925    -25.975      4.891    180.428    167.395
     6        -5   bbar                23     3     4     0     0     0   102     61.925     25.975    -18.808     69.901      4.800
     7        21   (g)                -21     1     0     9    10   105   104      0.000      0.000      2.300      2.300      0.000
     8         2   (u)                -21     2     0     9    10   104     0      0.000      0.000   -221.087    221.087      0.000
     9        22   gamma               23     7     8     0     0     0     0    -20.049      9.533   -128.941    130.838      0.000
    10         2   u                   23     7     8     0     0   105     0     20.049     -9.533    -89.846     92.548      0.330
    11        24   (W+)               -22     5     0    13    14     0     0    -27.766    -53.699     53.594    114.622     81.309
    12         5   b                   23     5     0     0     0   102     0    -34.159     27.725    -48.703     65.807      4.800
    13        -1   dbar                23    11     0     0     0     0   103    -21.530     18.774     15.854     32.672      0.330
    14         2   u                   23    11     0     0     0   103     0     -6.236    -72.473     37.740     81.949      0.330
                                   Charge sum:  1.667           Momentum sum:     -0.000      0.000   -232.704    473.716    412.620

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0   280     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0   281     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3         2   (u)                -21    11     0     5     6   101     0      0.000      0.000    118.206    118.206      0.000
     4        -1   (dbar)             -21    12    12     5     6     0   101      0.000      0.000   -132.123    132.123      0.000
     5         6   (t)                -22     3     4    13    13   102     0    -61.925    -25.975      4.891    180.428    167.395
     6        -5   (bbar)             -23     3     4    14    14     0   102     61.925     25.975    -18.808     69.901      4.800
     7        21   (g)                -21    16     0     9    10   105   104      0.000      0.000      2.300      2.300      0.000
     8         2   (u)                -21    17    17     9    10   104     0      0.000      0.000   -221.087    221.087      0.000
     9        22   (gamma)            -23     7     8    18    18     0     0    -20.049      9.533   -128.941    130.838      0.000
    10         2   (u)                -23     7     8    19    19   105     0     20.049     -9.533    -89.846     92.548      0.330
    11         2   (u)                -41    63    63    15     3   106     0     -0.000      0.000    157.153    157.153      0.000
    12        -1   (dbar)             -42    64     0     4     4     0   101      0.000     -0.000   -132.123    132.123      0.000
    13         6   (t)                -44     5     5    29    29   102     0    -75.276    -22.800      4.238    185.001    167.395
    14        -5   (bbar)             -44     6     6    27    28     0   102     58.244     26.850    -13.553     65.727      4.800
    15        21   (g)                -43    11     0    67    67   106   101     17.032     -4.050     34.345     38.549      0.000
    16        21   (g)                -41    21    21    20     7   105   107      0.000      0.000      7.038      7.038      0.000
    17         2   (u)                -42    22     0     8     8   104     0      0.000     -0.000   -221.087    221.087      0.000
    18        22   (gamma)            -44     9     9    23    23     0     0    -25.226     11.672   -176.766    178.938      0.000
    19         2   (u)                -44    10    10    24    24   105     0     12.673     -6.484    -31.216     34.311      0.330
    20        21   (g)                -43    16     0    25    25   104   107     12.553     -5.188     -6.065     14.876      0.000
    21        21   (g)                -42    30     0    16    16   105   107      0.000      0.000      7.038      7.038      0.000
    22         2   (u)                -41    31    31    26    17   108     0     -0.000     -0.000   -678.456    678.456      0.000
    23        22   (gamma)            -44    18    18    32    32     0     0    -22.808     18.912   -180.501    182.917      0.000
    24         2   (u)                -44    19    19    33    33   105     0     13.119     -5.151    -31.990     34.958      0.330
    25        21   (g)                -44    20    20    34    34   104   107     12.696     -4.762     -6.401     14.994      0.000
    26        21   (g)                -43    22     0    35    35   108   104     -3.006     -9.000   -452.525    452.625      0.000
    27        -5   (bbar)             -51    14     0    66    66     0   109     43.316     18.956     -5.175     47.806      4.800
    28        21   (g)                -51    14     0    68    68   109   102     14.299      7.648     -8.281     18.208      0.000
    29         6   (t)                -52    13    13    65    65   102     0    -74.647    -22.554      4.141    184.713    167.395
    30        21   (g)                -41    37    37    36    21   110   107      0.000      0.000     45.575     45.575      0.000
    31         2   (u)                -42    38     0    22    22   108     0      0.000      0.000   -678.456    678.456      0.000
    32        22   (gamma)            -44    23    23    39    39     0     0    -22.105     19.420   -177.707    180.126      0.000
    33         2   (u)                -44    24    24    40    40   105     0     13.982     -4.527    -34.857     37.830      0.330
    34        21   (g)                -44    25    25    41    41   104   107     15.197     -2.957     -9.620     18.227      0.000
    35        21   (g)                -44    26    26    42    42   108   104     -2.977     -8.979   -449.057    449.156      0.000
    36        21   (g)                -43    30     0    43    43   110   105     -4.097     -2.957     38.359     38.691      0.000
    37        21   (g)                -42    90    90    30    30   110   107      0.000      0.000     45.575     45.575      0.000
    38         2   (u)                -41   121   121    44    31   111     0     -0.000     -0.000   -934.218    934.218      0.000
    39        22   (gamma)            -44    32    32   122   122     0     0    -23.380     19.256   -177.761    180.323      0.000
    40         2   (u)                -44    33    33    85    86   105     0     13.724     -4.560    -34.931     37.807      0.330
    41        21   (g)                -44    34    34    51    51   104   107     15.097     -2.970     -9.686     18.181      0.000
    42        21   (g)                -44    35    35    49    50   108   104     -6.177     -9.391   -449.352    449.492      0.000
    43        21   (g)                -44    36    36    87    87   110   105     -4.098     -2.957     38.348     38.680      0.000
    44        21   (g)                -43    38     0    60    61   111   108      4.833      0.622   -255.262    255.309      0.000
    45        21   (g)                -31    52     0    47    48   114   113      0.000      0.000      3.596      3.596      0.000
    46        -1   (dbar)             -31    53    53    47    48     0   112      0.000      0.000     -5.441      5.441      0.000
    47        21   (g)                -33    45    46    54    54   114   112      3.894     -1.565     -2.329      4.800      0.000
    48        -1   (dbar)             -33    45    46    55    55     0   113     -3.894      1.565      0.484      4.238      0.330
    49        21   (g)                -51    42     0    62    62   108   115     -4.482     -7.339   -441.472    441.556      0.000
    50        21   (g)                -51    42     0    82    83   115   104     -1.161     -2.157     -8.222      8.579      0.000
    51        21   (g)                -52    41    41    88    89   104   107     14.564     -2.865     -9.343     17.539      0.000
    52        21   (g)                -41   204   204    56    45   114   116      0.000     -0.000    139.236    139.236      0.000
    53        -1   (dbar)             -42   353   353    46    46     0   112      0.000      0.000     -5.441      5.441      0.000
    54        21   (g)                -44    47    47   202   203   114   112      3.679     -2.823     -2.222      5.142      0.000
    55        -1   (dbar)             -44    48    48    59    59     0   113     -4.305     -0.837      1.056      4.523      0.330
    56        21   (g)                -43    52     0    57    58   113   116      0.626      3.660    134.961    135.012      0.000
    57        -1   (dbar)             -51    56     0   356   356     0   116      1.198      1.155    116.343    116.355      0.330
    58         1   (d)                -51    56     0   136   137   113     0     -0.748      2.470     18.660     18.840      0.330
    59        -1   (dbar)             -52    55    55   138   138     0   113     -4.129     -0.803      1.014      4.340      0.330
    60         1   (d)                -51    44     0   127   127   111     0      2.238     -1.884   -164.162    164.188      0.330
    61        -1   (dbar)             -51    44     0    99    99     0   108      2.140      1.760   -135.964    135.992      0.330
    62        21   (g)                -52    49    49    84    84   108   115     -4.026     -6.593   -396.609    396.684      0.000
    63         2   (u)                -42    75    75    11    11   106     0     -0.000     -0.000    157.153    157.153      0.000
    64        -1   (dbar)             -41   104   104    69    12     0   117      0.000      0.000   -158.192    158.192      0.000
    65         6   (t)                -44    29    29    72    72   102     0    -75.727    -23.058      4.613    185.226    167.395
    66        -5   (bbar)             -44    27    27   106   106     0   109     42.999     18.808     -5.496     47.497      4.800
    67        21   (g)                -44    15    15    73    74   106   101     17.007     -4.061     34.246     38.451      0.000
    68        21   (g)                -44    28    28    70    71   109   102     14.141      7.574     -8.391     18.104      0.000
    69        21   (g)                -43    64     0    78    78   101   117      1.581      0.737    -26.011     26.069      0.000
    70        21   (g)                -51    68     0   108   108   109   118     12.253      4.979     -5.782     14.435      0.000
    71        21   (g)                -51    68     0    79    80   118   102      1.552      2.452     -2.494      3.826      0.000
    72         6   (t)                -52    65    65    81    81   102     0    -75.392    -22.915      4.498    185.068    167.395
    73        21   (g)                -51    67     0    76    77   119   101     11.239     -3.585     26.758     29.243      0.000
    74        21   (g)                -51    67     0    94    95   106   119      5.768     -0.476      8.874     10.595      0.000
    75         2   (u)                -53    96    96    63    63   106     0     -0.000      0.000    158.540    158.540      0.000
    76        21   (g)                -51    73     0   107   107   119   120     11.530     -4.191     26.450     29.157      0.000
    77        21   (g)                -51    73     0   112   112   120   101     -0.250      0.625     -0.374      0.770      0.000
    78        21   (g)                -52    69    69   109   109   101   117      1.539      0.718    -25.328     25.385      0.000
    79        21   (g)                -51    71     0   102   102   118   121      2.044      1.204     -1.277      2.694      0.000
    80        21   (g)                -51    71     0   100   101   121   102     -1.482      0.450     -0.555      1.645      0.000
    81         6   (t)                -52    72    72   105   105   102     0    -74.402    -22.117      3.836    184.555    167.395
    82        21   (g)                -51    50     0   128   128   122   104     -2.115     -2.761    -20.194     20.491      0.000
    83        21   (g)                -51    50     0   130   130   115   122      0.776      0.313     -5.516      5.579      0.000
    84        21   (g)                -52    62    62    97    98   108   115     -3.849     -6.303   -379.122    379.193      0.000
    85         2   (u)                -51    40     0   123   123   123     0      5.420     -0.355    -13.337     14.405      0.330
    86        21   (g)                -51    40     0    93    93   105   123      8.297     -4.210    -21.537     23.460      0.000
    87        21   (g)                -52    43    43    91    92   110   105     -4.092     -2.952     38.291     38.622      0.000
    88        21   (g)                -51    51     0   124   124   104   125     15.150     -2.419     -8.751     17.662      0.000
    89        21   (g)                -51    51     0   132   132   125   107     -0.586     -0.446      0.344      0.813      0.000
    90        21   (g)                -53   120     0    37    37   110   107      0.000     -0.000     46.511     46.511      0.000
    91        21   (g)                -51    87     0   126   126   110   126     -2.637     -0.850     27.708     27.846      0.000
    92        21   (g)                -51    87     0   133   133   126   105     -1.434     -2.113     10.529     10.834      0.000
    93        21   (g)                -52    86    86   131   131   105   123      8.276     -4.200    -21.483     23.402      0.000
    94        21   (g)                -51    74     0   111   111   127   119      3.417     -1.392      4.925      6.154      0.000
    95        21   (g)                -51    74     0   114   114   106   127      2.351      0.916      6.227      6.718      0.000
    96         2   (u)                -53   103     0    75    75   106     0     -0.000      0.000    160.818    160.818      0.000
    97        -3   (sbar)             -51    84     0   125   125     0   115     -1.166     -4.095   -206.770    206.814      0.500
    98         3   (s)                -51    84     0   134   134   108     0     -2.515     -2.069   -182.850    182.880      0.500
    99        -1   (dbar)             -52    61    61   129   129     0   108      1.972      1.622   -125.465    125.491      0.330
   100        -1   (dbar)             -51    80     0   113   113     0   102      0.060      0.570     -1.639      1.767      0.330
   101         1   (d)                -51    80     0   115   115   121     0     -0.682      0.386      0.547      1.011      0.330
   102        21   (g)                -52    79    79   110   110   118   121      1.184      0.698     -0.740      1.561      0.000
   103         2   (u)                -41   216   216   116    96   128     0      0.000      0.000    167.364    167.364      0.000
   104        -1   (dbar)             -42   281   281    64    64     0   117     -0.000      0.000   -158.192    158.192      0.000
   105         6   (t)                -44    81    81   282   282   102     0    -75.019    -21.991      3.660    184.786    167.395
   106        -5   (bbar)             -44    66    66   240   240     0   109     42.861     18.836     -5.354     47.367      4.800
   107        21   (g)                -44    76    76   119   119   119   120     11.348     -4.153     26.499     29.124      0.000
   108        21   (g)                -44    70    70   156   156   109   118     12.225      4.985     -5.741     14.396      0.000
   109        21   (g)                -44    78    78   160   161   101   117      1.539      0.718    -25.316     25.373      0.000
   110        21   (g)                -44   102   102   148   149   118   121      1.182      0.698     -0.736      1.557      0.000
   111        21   (g)                -44    94    94   165   165   127   119      3.380     -1.385      4.939      6.143      0.000
   112        21   (g)                -44    77    77   117   118   120   101     -0.251      0.625     -0.375      0.771      0.000
   113        -1   (dbar)             -44   100   100   290   290     0   102      0.059      0.571     -1.639      1.767      0.330
   114        21   (g)                -44    95    95   276   276   106   127      2.309      0.925      6.236      6.713      0.000
   115         1   (d)                -44   101   101   150   150   121     0     -0.687      0.387      0.545      1.014      0.330
   116        21   (g)                -43   103     0   214   215   128   106      1.054     -0.215      6.455      6.544      0.000
   117        -2   (ubar)             -51   112     0   162   162     0   101      0.292      1.291      0.461      1.440      0.330
   118         2   (u)                -51   112     0   177   177   120     0      0.486     -1.043      1.567      1.972      0.330
   119        21   (g)                -52   107   107   163   164   119   120     10.319     -3.777     24.096     26.483      0.000
   120        21   (g)                -41   243   243   135    90   110   129     -0.000     -0.000    128.762    128.762      0.000
   121         2   (u)                -42   231   231    38    38   111     0      0.000      0.000   -934.218    934.218      0.000
   122        22   (gamma)            -44    39    39   311   311     0     0    -23.375     19.284   -177.927    180.489      0.000
   123         2   (u)                -44    85    85   190   191   123     0      5.422     -0.343    -13.343     14.411      0.330
   124        21   (g)                -44    88    88   145   146   104   125     15.167     -2.321     -8.753     17.665      0.000
   125        -3   (sbar)             -44    97    97   168   168     0   115     -1.166     -4.095   -206.721    206.765      0.500
   126        21   (g)                -44    91    91   171   171   110   126     -2.532     -0.240     27.719     27.836      0.000
   127         1   (d)                -44    60    60   229   230   111     0      2.238     -1.884   -164.144    164.170      0.330
   128        21   (g)                -44    82    82   147   147   122   104     -2.114     -2.757    -20.160     20.457      0.000
   129        -1   (dbar)             -44    99    99   199   200     0   108      1.972      1.622   -125.485    125.512      0.330
   130        21   (g)                -44    83    83   166   167   115   122      0.776      0.314     -5.520      5.584      0.000
   131        21   (g)                -44    93    93   141   141   105   123      8.280     -4.179    -21.452     23.371      0.000
   132        21   (g)                -44    89    89   142   143   125   107     -0.584     -0.433      0.350      0.807      0.000
   133        21   (g)                -44    92    92   139   140   126   105     -1.393     -1.879     10.554     10.810      0.000
   134         3   (s)                -44    98    98   201   201   108     0     -2.515     -2.069   -182.821    182.851      0.500
   135        21   (g)                -43   120     0   144   144   107   129     -0.176     -1.021     82.248     82.254      0.000
   136         1   (d)                -51    58     0   151   152   130     0     -0.515      1.637      5.134      5.424      0.330
   137        21   (g)                -51    58     0   153   153   113   130     -0.404      0.799     13.566     13.595      0.000
   138        -1   (dbar)             -52    59    59   195   195     0   113     -3.957     -0.769      0.973      4.160      0.330
   139        21   (g)                -51   133     0   169   170   126   131     -1.321     -2.638     10.219     10.636      0.000
   140        21   (g)                -51   133     0   208   209   131   105      0.110      0.667     -0.139      0.690      0.000
   141        21   (g)                -52   131   131   192   192   105   123      8.097     -4.086    -20.978     22.855      0.000
   142        21   (g)                -51   132     0   174   174   125   132     -0.384     -1.286      2.971      3.260      0.000
   143        21   (g)                -51   132     0   187   188   132   107     -0.210      0.797      1.935      2.103      0.000
   144        21   (g)                -52   135   135   217   218   107   129     -0.166     -0.964     77.692     77.698      0.000
   145        21   (g)                -51   124     0   172   173   134   125     12.096     -1.678     -6.075     13.639      0.000
   146        21   (g)                -51   124     0   157   158   104   134      3.045     -0.678     -2.926      4.277      0.000
   147        21   (g)                -52   128   128   159   159   122   104     -2.088     -2.723    -19.911     20.205      0.000
   148        21   (g)                -51   110     0   154   155   118   135      0.639     -0.183      0.371      0.762      0.000
   149        21   (g)                -51   110     0   181   182   135   121      0.090      1.078     -0.758      1.321      0.000
   150         1   (d)                -52   115   115   292   292   121     0     -0.235      0.191      0.195      0.488      0.330
   151         1   (d)                -51   136     0   225   225   136     0     -1.265      1.406      9.018      9.220      0.330
   152        21   (g)                -51   136     0   223   224   130   136      0.531      0.663      3.446      3.549      0.000
   153        21   (g)                -52   137   137   193   194   113   130     -0.186      0.367      6.237      6.251      0.000
   154        -1   (dbar)             -51   148     0   183   183     0   135      2.173      0.860      0.088      2.362      0.330
   155         1   (d)                -51   148     0   207   207   118     0      1.038      0.005     -0.924      1.428      0.330
   156        21   (g)                -52   108   108   205   206   109   118      9.654      3.936     -4.534     11.369      0.000
   157        21   (g)                -51   146     0   327   327   137   134      2.299     -0.386     -1.496      2.770      0.000
   158        21   (g)                -51   146     0   270   270   104   137      0.587     -0.499     -2.945      3.044      0.000
   159        21   (g)                -52   147   147   268   269   122   104     -1.929     -2.516    -18.397     18.668      0.000
   160        21   (g)                -51   109     0   286   286   138   117      1.689      0.069    -17.323     17.405      0.000
   161        21   (g)                -51   109     0   196   197   101   138     -0.141      0.687     -7.978      8.009      0.000
   162        -2   (ubar)             -52   117   117   198   198     0   101      0.284      1.253      0.445      1.399      0.330
   163        21   (g)                -51   119     0   175   176   139   120      8.833     -2.763     20.486     22.480      0.000
   164        21   (g)                -51   119     0   298   298   119   139      2.675     -1.501      5.348      6.165      0.000
   165        21   (g)                -52   111   111   274   275   127   119      2.191     -0.897      3.201      3.981      0.000
   166        21   (g)                -51   130     0   319   319   141   122      0.783     -0.344     -5.492      5.558      0.000
   167        21   (g)                -51   130     0   329   329   115   141     -0.131      0.225    -21.816     21.818      0.000
   168        -3   (sbar)             -52   125   125   314   314     0   115     -1.042     -3.663   -184.933    184.973      0.500
   169        21   (g)                -51   139     0   186   186   142   131     -1.401     -2.913     13.217     13.606      0.000
   170        21   (g)                -51   139     0   184   185   126   142     -0.371      0.232      1.940      1.989      0.000
   171        21   (g)                -52   126   126   241   242   110   126     -2.081     -0.197     22.781     22.877      0.000
   172        21   (g)                -51   145     0   313   313   134   143      1.751     -0.506     -0.152      1.829      0.000
   173        21   (g)                -51   145     0   178   179   143   125     10.332     -1.216     -5.822     11.922      0.000
   174        21   (g)                -52   142   142   180   180   125   132     -0.371     -1.243      2.870      3.149      0.000
   175        21   (g)                -51   163     0   255   255   139   144      1.466     -1.047      4.650      4.987      0.000
   176        21   (g)                -51   163     0   226   227   144   120      7.429     -1.942     16.081     17.820      0.000
   177         2   (u)                -52   118   118   228   228   120     0      0.424     -0.818      1.322      1.645      0.330
   178        21   (g)                -51   173     0   331   331   143   145      1.375     -0.043     -0.021      1.376      0.000
   179        21   (g)                -51   173     0   261   261   145   125      8.942     -1.222     -5.689     10.669      0.000
   180        21   (g)                -52   174   174   189   189   125   132     -0.356     -1.194      2.758      3.026      0.000
   181        21   (g)                -51   149     0   295   295   149   121     -0.060      0.968     -0.079      0.974      0.000
   182        21   (g)                -51   149     0   300   300   135   149      1.089      0.448     -0.617      1.329      0.000
   183        -1   (dbar)             -52   154   154   287   287     0   135      1.234      0.521      0.026      1.380      0.330
   184        21   (g)                -51   170     0   330   330   126   150     -0.668      0.065      3.647      3.708      0.000
   185        21   (g)                -51   170     0   333   333   150   142     -0.478     -1.445      5.609      5.812      0.000
   186        21   (g)                -52   169   169   222   222   142   131     -0.626     -1.301      5.901      6.075      0.000
   187        21   (g)                -51   143     0   219   219   151   107     -0.001      0.599      0.632      0.871      0.000
   188        21   (g)                -51   143     0   273   273   132   151     -0.365     -0.325      2.510      2.557      0.000
   189        21   (g)                -52   180   180   259   260   125   132     -0.200     -0.671      1.550      1.701      0.000
   190         2   (u)                -51   123     0   235   236   152     0      4.969     -0.474    -13.451     14.351      0.330
   191        21   (g)                -51   123     0   237   237   123   152      2.362     -0.832     -4.836      5.446      0.000
   192        21   (g)                -52   141   141   210   210   105   123      6.189     -3.123    -16.034     17.469      0.000
   193        21   (g)                -51   153     0   264   264   154   130      0.247     -0.364      1.404      1.471      0.000
   194        21   (g)                -51   153     0   262   263   113   154     -0.607      0.698      4.875      4.962      0.000
   195        -1   (dbar)             -52   138   138   279   279     0   113     -3.783     -0.735      0.932      3.978      0.330
   196        21   (g)                -51   161     0   297   297   157   138      0.471     -0.022     -2.391      2.437      0.000
   197        21   (g)                -51   161     0   301   301   101   157     -0.597      0.777     -5.560      5.645      0.000
   198        -2   (ubar)             -52   162   162   289   289     0   101      0.268      1.185      0.417      1.326      0.330
   199        -1   (dbar)             -51   129     0   318   318     0   159      1.240      1.577   -115.883    115.901      0.330
   200        21   (g)                -51   129     0   336   336   159   108      0.607     -0.058    -18.515     18.525      0.000
   201         3   (s)                -52   134   134   323   323   108     0     -2.390     -1.965   -173.908    173.936      0.500
   202        21   (g)                -51    54     0   354   354   160   112      3.194     -3.034     -1.794      4.757      0.000
   203        21   (g)                -51    54     0   361   361   114   160      0.485      0.212     -0.234      0.578      0.000
   204        21   (g)                -53   352   352    52    52   114   116     -0.000      0.000    139.429    139.429      0.000
   205        21   (g)                -51   156     0   238   239   109   161      5.942      1.883     -3.094      6.959      0.000
   206        21   (g)                -51   156     0   302   302   161   118      3.828      1.983     -1.617      4.604      0.000
   207         1   (d)                -52   155   155   296   296   118     0      0.922      0.075     -0.747      1.234      0.330
   208        21   (g)                -51   140     0   220   221   131   163     -0.210      0.186     -0.809      0.856      0.000
   209        21   (g)                -51   140     0   213   213   163   105      0.637      0.321     -0.152      0.730      0.000
   210        21   (g)                -52   192   192   211   212   105   123      5.871     -2.963    -15.212     16.573      0.000
   211        21   (g)                -51   210     0   232   233   164   123      5.286     -2.468    -14.226     15.375      0.000
   212        21   (g)                -51   210     0   234   234   105   164      0.665     -0.455     -1.005      1.288      0.000
   213        21   (g)                -52   209   209   337   337   163   105      0.558      0.281     -0.133      0.639      0.000
   214        21   (g)                -51   116     0   293   293   165   106      1.345     -0.153     12.064     12.140      0.000
   215        21   (g)                -51   116     0   303   303   128   165     -0.290     -0.062      3.286      3.300      0.000
   216         2   (u)                -53   280   280   103   103   128     0     -0.000      0.000    176.259    176.259      0.000
   217        21   (g)                -51   144     0   324   324   167   129     -0.265     -1.119     76.217     76.225      0.000
   218        21   (g)                -51   144     0   339   339   107   167      0.099      0.202      1.526      1.542      0.000
   219        21   (g)                -52   187   187   271   272   151   107     -0.001      0.551      0.582      0.801      0.000
   220        21   (g)                -51   208     0   246   246   169   163      0.007      0.265     -0.770      0.815      0.000
   221        21   (g)                -51   208     0   244   245   131   169     -0.285     -0.220      0.602      0.701      0.000
   222        21   (g)                -52   186   186   252   252   142   131     -0.558     -1.159      5.261      5.416      0.000
   223        21   (g)                -51   152     0   359   359   130   171      0.310      0.269      0.787      0.887      0.000
   224        21   (g)                -51   152     0   362   362   171   136     -0.248      0.871      5.752      5.823      0.000
   225         1   (d)                -52   151   151   357   357   136     0     -0.795      0.928      5.925      6.059      0.330
   226        21   (g)                -51   176     0   253   254   144   172      6.759     -1.612     13.898     15.538      0.000
   227        21   (g)                -51   176     0   304   304   172   120      0.699     -0.472      2.323      2.471      0.000
   228         2   (u)                -52   177   177   294   294   120     0      0.395     -0.675      1.183      1.456      0.330
   229         1   (d)                -51   127     0   316   316   173     0      2.243     -2.105   -192.315    192.340      0.330
   230        21   (g)                -51   127     0   341   341   111   173     -0.005      0.222    -16.272     16.273      0.000
   231         2   (u)                -53   310   310   121   121   111     0     -0.000      0.000   -978.661    978.661      0.000
   232        21   (g)                -51   211     0   320   320   174   123      1.975     -0.951     -6.350      6.718      0.000
   233        21   (g)                -51   211     0   342   342   164   174      3.634     -1.738     -8.364      9.283      0.000
   234        21   (g)                -52   212   212   338   338   105   164      0.342     -0.234     -0.517      0.663      0.000
   235         2   (u)                -51   190     0   312   312   176     0      1.190     -0.434     -3.015      3.287      0.330
   236        21   (g)                -51   190     0   343   343   152   176      4.887     -0.430    -12.704     13.618      0.000
   237        21   (g)                -52   191   191   335   335   123   152      1.254     -0.442     -2.568      2.891      0.000
   238        21   (g)                -51   205     0   285   285   177   161      5.178      1.603     -2.026      5.787      0.000
   239        21   (g)                -51   205     0   256   257   109   177      1.434      0.588     -1.109      1.906      0.000
   240        -5   (bbar)             -52   106   106   258   258     0   109     42.191     18.528     -5.314     46.633      4.800
   241        21   (g)                -51   171     0   247   248   178   126     -1.977     -0.255     20.809     20.904      0.000
   242        21   (g)                -51   171     0   249   249   110   178     -0.104      0.057     14.653     14.653      0.000
   243        21   (g)                -53   309   309   120   120   110   129     -0.000     -0.000    141.443    141.443      0.000
   244        21   (g)                -51   221     0   250   251   131   179      0.192     -0.189      0.424      0.502      0.000
   245        21   (g)                -51   221     0   345   345   179   169     -0.474      0.063     -0.094      0.487      0.000
   246        21   (g)                -52   220   220   325   325   169   163      0.005      0.171     -0.498      0.527      0.000
   247        21   (g)                -51   241     0   315   315   182   126     -1.895     -0.325     19.685     19.779      0.000
   248        21   (g)                -51   241     0   346   346   178   182     -0.120      0.091      6.445      6.447      0.000
   249        21   (g)                -52   242   242   344   344   110   178     -0.067      0.037      9.331      9.332      0.000
   250        21   (g)                -51   244     0   340   340   183   179      0.165     -0.309      2.464      2.489      0.000
   251        21   (g)                -51   244     0   347   347   131   183     -0.479     -0.931      2.728      2.922      0.000
   252        21   (g)                -52   222   222   322   322   142   131     -0.052     -0.109      0.493      0.507      0.000
   253        21   (g)                -51   226     0   299   299   184   172      4.950     -0.922      9.948     11.150      0.000
   254        21   (g)                -51   226     0   306   306   144   184      2.280     -1.027      5.445      5.992      0.000
   255        21   (g)                -52   175   175   284   284   139   144      0.995     -0.710      3.155      3.383      0.000
   256        21   (g)                -51   239     0   305   305   185   177      0.865      0.804     -0.517      1.289      0.000
   257        21   (g)                -51   239     0   307   307   109   185      1.768      0.313     -0.686      1.922      0.000
   258        -5   (bbar)             -52   240   240   283   283     0   109     40.992     17.999     -5.220     45.328      4.800
   259        21   (g)                -51   189     0   321   321   186   132     -0.074      0.098      0.747      0.757      0.000
   260        21   (g)                -51   189     0   267   267   125   186     -0.017     -0.784      0.734      1.074      0.000
   261        21   (g)                -52   179   179   265   266   145   125      8.833     -1.207     -5.619     10.539      0.000
   262        21   (g)                -51   194     0   277   278   113   187     -0.318      0.773      3.969      4.056      0.000
   263        21   (g)                -51   194     0   363   363   187   154     -0.184     -0.230      1.503      1.532      0.000
   264        21   (g)                -52   193   193   358   358   154   130      0.142     -0.209      0.807      0.846      0.000
   265        21   (g)                -51   261     0   332   332   145   188      8.164     -0.921     -5.421      9.843      0.000
   266        21   (g)                -51   261     0   349   349   188   125      0.668     -0.335     -0.152      0.763      0.000
   267        21   (g)                -52   260   260   348   348   125   186     -0.016     -0.735      0.688      1.006      0.000
   268        21   (g)                -51   159     0   317   317   122   189     -1.451     -1.947    -16.266     16.447      0.000
   269        21   (g)                -51   159     0   350   350   189   104     -0.383     -0.650     -2.606      2.713      0.000
   270        21   (g)                -52   158   158   328   328   104   137      0.492     -0.418     -2.470      2.553      0.000
   271        21   (g)                -51   219     0   326   326   190   107     -0.110      0.343      0.152      0.392      0.000
   272        21   (g)                -51   219     0   351   351   151   190     -0.060      0.057      1.593      1.595      0.000
   273        21   (g)                -52   188   188   334   334   132   151     -0.196     -0.174      1.346      1.372      0.000
   274        21   (g)                -51   165     0   288   288   191   119      0.035     -0.149      0.063      0.166      0.000
   275        21   (g)                -51   165     0   308   308   127   191      2.479     -0.619      4.010      4.755      0.000
   276        21   (g)                -52   114   114   291   291   106   127      1.986      0.795      5.363      5.774      0.000
   277        -2   (ubar)             -51   262     0   360   360     0   187     -0.449      0.363      2.338      2.431      0.330
   278         2   (u)                -51   262     0   364   364   113     0      0.028      0.389      1.655      1.732      0.330
   279        -1   (dbar)             -52   195   195   355   355     0   113     -3.680     -0.715      0.908      3.871      0.330
   280         2   (u)                -61     1     0   216   216   128     0     -3.906     -1.031    176.249    176.295      0.000
   281        -1   (dbar)             -61     2     0   104   104     0   117      0.204     -1.310   -158.180    158.186      0.000
   282         6   (t)                -62   105   105   371   372   102     0    -76.990    -23.295      2.808    185.739    167.395
   283        -5   (bbar)             -62   258   258   459   459     0   109     40.580     17.675     -4.760     44.776      4.800
   284        21   (g)                -62   255   255   409     0   139   144      0.923     -0.730      3.167      3.379      0.000
   285        21   (g)                -62   238   238   456   456   177   161      5.141      1.560     -1.967      5.722      0.000
   286        21   (g)                -62   160   160   478   478   138   117      1.710     -0.075    -17.302     17.386      0.000
   287        -1   (dbar)             -62   183   183   408     0     0   135      1.219      0.511      0.040      1.363      0.330
   288        21   (g)                -62   274   274   493   493   191   119      0.032     -0.150      0.064      0.166      0.000
   289        -2   (ubar)             -62   198   198   481   481     0   101      0.249      1.176      0.419      1.315      0.330
   290        -1   (dbar)             -62   113   113   469   469     0   102      0.060      0.556     -1.638      1.762      0.330
   291        21   (g)                -62   276   276   495   495   106   127      1.863      0.761      5.385      5.748      0.000
   292         1   (d)                -62   150   150   428   428   121     0     -0.242      0.188      0.192      0.490      0.330
   293        21   (g)                -62   214   214   496   496   165   106      1.077     -0.224     12.079     12.129      0.000
   294         2   (u)                -62   228   228   411     0   120     0      0.366     -0.684      1.188      1.457      0.330
   295        21   (g)                -62   181   181   429   429   149   121     -0.069      0.962     -0.080      0.967      0.000
   296         1   (d)                -62   207   207   454   454   118     0      0.918      0.066     -0.736      1.224      0.330
   297        21   (g)                -62   196   196   479   479   157   138      0.474     -0.042     -2.385      2.432      0.000
   298        21   (g)                -62   164   164   492   492   119   139      2.548     -1.538      5.381      6.149      0.000
   299        21   (g)                -62   253   253   490   490   184   172      4.717     -0.989     10.007     11.107      0.000
   300        21   (g)                -62   182   182   408     0   135   149      1.082      0.438     -0.605      1.315      0.000
   301        21   (g)                -62   197   197   480   480   101   157     -0.591      0.730     -5.567      5.646      0.000
   302        21   (g)                -62   206   206   455   455   161   118      3.799      1.949     -1.574      4.550      0.000
   303        21   (g)                -62   215   215   410     0   128   165     -0.363     -0.081      3.283      3.304      0.000
   304        21   (g)                -62   227   227   411     0   172   120      0.646     -0.487      2.332      2.468      0.000
   305        21   (g)                -62   256   256   457   457   185   177      0.857      0.794     -0.507      1.274      0.000
   306        21   (g)                -62   254   254   409     0   144   184      2.154     -1.062      5.473      5.977      0.000
   307        21   (g)                -62   257   257   458   458   109   185      1.756      0.299     -0.665      1.902      0.000
   308        21   (g)                -62   275   275   494   494   127   191      2.382     -0.648      4.040      4.735      0.000
   309        21   (g)                -61     1     0   243   243   110   129      2.011      2.435    141.427    141.462      0.000
   310         2   (u)                -61     2     0   231   231   111     0     -0.106      0.163   -978.652    978.652      0.000
   311        22   gamma               62   122   122     0     0     0     0    -23.376     19.336   -177.922    180.490      0.000
   312         2   (u)                -62   235   235   529   529   176     0      1.191     -0.431     -3.020      3.292      0.330
   313        21   (g)                -62   172   172   419     0   134   143      1.763     -0.491     -0.160      1.837      0.000
   314        -3   (sbar)             -62   168   168   601   601     0   115     -1.062     -3.631   -184.893    184.932      0.500
   315        21   (g)                -62   247   247   540   540   182   126     -1.614      0.015     19.699     19.765      0.000
   316         1   (d)                -62   229   229   564   564   173     0      2.223     -2.073   -192.311    192.336      0.330
   317        21   (g)                -62   268   268   598   598   122   189     -1.452     -1.943    -16.239     16.419      0.000
   318        -1   (dbar)             -62   199   199   448   448     0   159      1.228      1.596   -115.904    115.922      0.330
   319        21   (g)                -62   166   166   599   599   141   122      0.783     -0.342     -5.494      5.560      0.000
   320        21   (g)                -62   232   232   532   532   174   123      1.977     -0.946     -6.356      6.723      0.000
   321        21   (g)                -62   259   259   418     0   186   132     -0.064      0.111      0.747      0.758      0.000
   322        21   (g)                -62   252   252   412     0   142   131     -0.045     -0.100      0.494      0.506      0.000
   323         3   (s)                -62   201   201   446   446   108     0     -2.408     -1.936   -173.873    173.901      0.500
   324        21   (g)                -62   217   217   587   587   167   129      0.819      0.194     76.219     76.224      0.000
   325        21   (g)                -62   246   246   535   535   169   163      0.005      0.171     -0.500      0.528      0.000
   326        21   (g)                -62   271   271   589   589   190   107     -0.106      0.348      0.150      0.394      0.000
   327        21   (g)                -62   157   157   595   595   137   134      2.308     -0.375     -1.509      2.783      0.000
   328        21   (g)                -62   270   270   596   596   104   137      0.493     -0.417     -2.470      2.553      0.000
   329        21   (g)                -62   167   167   600   600   115   141     -0.133      0.229    -21.817     21.818      0.000
   330        21   (g)                -62   184   184   539   539   126   150     -0.616      0.128      3.650      3.704      0.000
   331        21   (g)                -62   178   178   419     0   143   145      1.385     -0.031     -0.031      1.385      0.000
   332        21   (g)                -62   265   265   593   593   145   188      8.195     -0.882     -5.472      9.893      0.000
   333        21   (g)                -62   185   185   412     0   150   142     -0.397     -1.347      5.624      5.797      0.000
   334        21   (g)                -62   273   273   418     0   132   151     -0.176     -0.151      1.349      1.369      0.000
   335        21   (g)                -62   237   237   531   531   123   152      1.256     -0.438     -2.573      2.896      0.000
   336        21   (g)                -62   200   200   447   447   159   108      0.605     -0.054    -18.519     18.529      0.000
   337        21   (g)                -62   213   213   534   534   163   105      0.562      0.286     -0.139      0.645      0.000
   338        21   (g)                -62   234   234   415     0   105   164      0.343     -0.233     -0.518      0.663      0.000
   339        21   (g)                -62   218   218   588   588   107   167      0.121      0.228      1.523      1.545      0.000
   340        21   (g)                -62   250   250   537   537   183   179      0.201     -0.267      2.465      2.487      0.000
   341        21   (g)                -62   230   230   565   565   111   173     -0.007      0.224    -16.273     16.275      0.000
   342        21   (g)                -62   233   233   415     0   164   174      3.640     -1.729     -8.375      9.294      0.000
   343        21   (g)                -62   236   236   530   530   152   176      4.892     -0.420    -12.735     13.649      0.000
   344        21   (g)                -62   249   249   413     0   110   178      0.066      0.197      9.330      9.333      0.000
   345        21   (g)                -62   245   245   536   536   179   169     -0.471      0.066     -0.091      0.484      0.000
   346        21   (g)                -62   248   248   413     0   178   182     -0.028      0.202      6.444      6.447      0.000
   347        21   (g)                -62   251   251   414     0   131   183     -0.439     -0.882      2.739      2.911      0.000
   348        21   (g)                -62   267   267   591   591   125   186     -0.004     -0.720      0.694      1.000      0.000
   349        21   (g)                -62   266   266   592   592   188   125      0.673     -0.330     -0.154      0.765      0.000
   350        21   (g)                -62   269   269   597   597   189   104     -0.383     -0.648     -2.598      2.705      0.000
   351        21   (g)                -62   272   272   420     0   151   190     -0.037      0.085      1.593      1.596      0.000
   352        21   (g)                -61     1     0   204   204   114   110      1.570     -0.363    139.543    139.553      0.000
   353        -1   (dbar)             -61     2     0    53    53     0   111      1.425     -0.475     -5.341      5.548      0.000
   354        21   (g)                -62   202   202   566   566   160   111      4.075     -3.326     -1.204      5.396      0.000
   355        -1   (dbar)             -62   279   279   442   442     0   113     -3.270     -0.849      0.506      3.432      0.330
   356        -1   (dbar)             -62    57    57   542   542     0   110      2.511      0.851    116.539    116.570      0.330
   357         1   (d)                -62   225   225   417     0   136     0     -0.711      0.907      5.792      5.915      0.330
   358        21   (g)                -62   264   264   416     0   154   130      0.156     -0.213      0.835      0.875      0.000
   359        21   (g)                -62   223   223   435   435   130   171      0.333      0.263      0.816      0.919      0.000
   360        -2   (ubar)             -62   277   277   437   437     0   187     -0.411      0.353      2.270      2.357      0.330
   361        21   (g)                -62   203   203   567   567   114   160      0.593      0.176     -0.175      0.643      0.000
   362        21   (g)                -62   224   224   417     0   171   136     -0.175      0.853      5.689      5.755      0.000
   363        21   (g)                -62   263   263   416     0   187   154     -0.164     -0.235      1.491      1.518      0.000
   364         2   (u)                -62   278   278   441   441   113     0      0.057      0.382      1.644      1.720      0.330
   365      2101   (ud_0)             -63     1     0   410     0     0   128      0.364     -0.039      6.387      6.424      0.579
   366         2   (u)                -63     1     0   586   586   129     0     -0.134     -0.682   3460.541   3460.541      0.330
   367        -2   (ubar)             -63     1     0   568   568     0   114      0.094     -0.320     75.655     75.656      0.330
   368      2103   (ud_1)             -63     2     0   425   425     0   195     -0.402      0.503  -2351.367   2351.367      0.771
   369         1   (d)                -63     2     0   424   424   195     0     -0.189      0.817   -496.367    496.368      0.330
   370         1   (d)                -63     2     0   477   477   117     0     -0.933      0.303     -9.894      9.948      0.330
   371        24   (W+)               -22   282     0   375   375     0     0    -37.252    -52.012     52.283    115.921     81.309
   372         5   (b)                -23   282     0   373   374   102     0    -39.739     28.717    -49.475     69.818      4.800
   373         5   (b)                -51   372     0   376   377   199     0    -38.768     26.389    -48.296     67.490      4.800
   374        21   (g)                -51   372     0   378   378   102   199     -1.007      2.128     -0.942      2.536      0.000
   375        24   (W+)               -56   371   371   391   392     0     0    -37.216    -51.813     52.046    115.713     81.309
   376         5   (b)                -51   373     0   381   381   200     0    -38.520     26.052    -47.174     66.415      4.800
   377        21   (g)                -51   373     0   465   465   199   200     -0.447      0.758     -1.309      1.577      0.000
   378        21   (g)                -52   374   374   379   380   102   199     -0.807      1.707     -0.755      2.034      0.000
   379        21   (g)                -51   378     0   384   384   201   199     -0.778      1.853     -1.117      2.299      0.000
   380        21   (g)                -51   378     0   382   383   102   201     -5.271      3.231     -6.091      8.679      0.000
   381         5   (b)                -52   376   376   464   464   200     0    -33.279     22.676    -40.721     57.471      4.800
   382        21   (g)                -51   380     0   385   386   102   203     -4.740      2.985     -5.909      8.143      0.000
   383        21   (g)                -51   380     0   387   387   203   201     -0.740      0.745     -0.483      1.156      0.000
   384        21   (g)                -52   379   379   466   466   201   199     -0.568      1.354     -0.816      1.679      0.000
   385        21   (g)                -51   382     0   388   389   102   204     -4.785      3.253     -6.061      8.379      0.000
   386        21   (g)                -51   382     0   390   390   204   203     -0.420      0.201     -0.152      0.489      0.000
   387        21   (g)                -52   383   383   422     0   203   201     -0.275      0.277     -0.180      0.430      0.000
   388        21   (g)                -51   385     0   468   468   102   205     -4.443      3.048     -5.778      7.900      0.000
   389        21   (g)                -51   385     0   421     0   205   204     -0.651      0.352     -0.394      0.838      0.000
   390        21   (g)                -52   386   386   421     0   204   203     -0.111      0.053     -0.040      0.130      0.000
   391        -1   (dbar)             -23   375     0   393   394     0   103    -24.292     19.325     15.401     34.654      0.330
   392         2   (u)                -23   375     0   395   395   103     0    -12.923    -71.138     36.645     81.059      0.330
   393        -1   (dbar)             -51   391     0   399   400     0   209    -25.295     18.597     15.456     34.996      0.330
   394        21   (g)                -51   391     0   398   398   209   103      0.768     -0.568      0.613      1.135      0.000
   395         2   (u)                -52   392   392   396   397   103     0    -12.688    -69.843     35.977     79.583      0.330
   396         2   (u)                -51   395     0   509   509   210     0    -11.870    -61.718     32.765     70.878      0.330
   397        21   (g)                -51   395     0   510   510   103   210     -0.698     -8.212      3.308      8.881      0.000
   398        21   (g)                -52   394   394   401   401   209   103      0.649     -0.480      0.518      0.959      0.000
   399        -1   (dbar)             -51   393     0   402   403     0   211    -24.245     16.826     14.736     32.988      0.330
   400        21   (g)                -51   393     0   404   404   211   209     -0.975      1.714      0.781      2.121      0.000
   401        21   (g)                -52   398   398   407   407   209   103      0.572     -0.423      0.457      0.846      0.000
   402        -1   (dbar)             -51   399     0   514   514     0   212    -20.950     14.221     12.259     28.134      0.330
   403        21   (g)                -51   399     0   423     0   212   211     -3.453      2.884      2.603      5.198      0.000
   404        21   (g)                -52   400   400   405   406   211   209     -0.816      1.436      0.654      1.777      0.000
   405        21   (g)                -51   404     0   423     0   211   213     -0.953      1.024      0.755      1.589      0.000
   406        21   (g)                -51   404     0   512   512   213   209      0.293      0.297      0.024      0.418      0.000
   407        21   (g)                -52   401   401   511   511   209   103      0.416     -0.308      0.332      0.615      0.000
   408        -1   (dbar)             -73   287   300   430   430     0   149      2.301      0.949     -0.565      2.678      0.810
   409        21   (g)                -73   284   306   491   491   139   184      3.076     -1.793      8.640      9.355      0.440
   410      2101   (ud_0)             -73   303   365   497   497     0   165      0.001     -0.120      9.670      9.728      1.051
   411         2   (u)                -73   294   304   489   489   172     0      1.012     -1.171      3.520      3.924      0.787
   412        21   (g)                -73   322   333   414     0   150   131     -0.442     -1.447      6.118      6.303      0.070
   413        21   (g)                -73   344   346   541   541   110   182      0.038      0.399     15.775     15.780      0.119
   414        21   (g)                -73   347   412   538   538   150   183     -0.881     -2.329      8.857      9.213      0.492
   415        21   (g)                -73   338   342   533   533   105   174      3.983     -1.962     -8.893      9.957      0.596
   416        21   (g)                -73   358   363   436   436   187   130     -0.007     -0.448      2.326      2.394      0.347
   417         1   (d)                -73   357   362   434   434   171     0     -0.886      1.760     11.481     11.670      0.703
   418        21   (g)                -73   321   334   420     0   186   151     -0.240     -0.040      2.096      2.127      0.265
   419        21   (g)                -73   313   331   594   594   134   145      3.147     -0.522     -0.191      3.222      0.410
   420        21   (g)                -73   351   418   590   590   186   190     -0.277      0.045      3.689      3.722      0.410
   421        21   (g)                -73   389   390   422     0   205   203     -0.762      0.405     -0.435      0.968      0.059
   422        21   (g)                -73   387   421   467   467   205   201     -1.037      0.682     -0.614      1.398      0.189
   423        21   (g)                -73   403   405   513   513   212   213     -4.406      3.908      3.358      6.787      0.325
   424         1   (d)                -71   369   369   426   427   195     0     -0.189      0.817   -496.367    496.368      0.330
   425      2103   (ud_1)             -71   368   368   426   427     0   195     -0.402      0.503  -2351.367   2351.367      0.771
   426      -211   pi-                 82   424   425     0     0     0     0      0.222      0.175   -143.022    143.022      0.140
   427      2214   (Delta+)           -82   424   425   636   637     0     0     -0.812      1.144  -2704.712   2704.712      1.317
   428         1   (d)                -71   292   292   431   433   121     0     -0.242      0.188      0.192      0.490      0.330
   429        21   (g)                -71   295   295   431   433   149   121     -0.069      0.962     -0.080      0.967      0.000
   430        -1   (dbar)             -71   408   408   431   433     0   149      2.301      0.949     -0.565      2.678      0.810
   431       113   (rho0)             -83   428   430   638   639     0     0      0.539      1.068      0.172      1.492      0.874
   432      -213   (rho-)             -83   428   430   640   641     0     0     -0.139      0.096     -0.140      0.731      0.698
   433       211   pi+                 84   428   430     0     0     0     0      1.590      0.934     -0.486      1.912      0.140
   434         1   (d)                -71   417   417   438   440   171     0     -0.886      1.760     11.481     11.670      0.703
   435        21   (g)                -71   359   359   438   440   130   171      0.333      0.263      0.816      0.919      0.000
   436        21   (g)                -71   416   416   438   440   187   130     -0.007     -0.448      2.326      2.394      0.347
   437        -2   (ubar)             -71   360   360   438   440     0   187     -0.411      0.353      2.270      2.357      0.330
   438      -211   pi-                 83   434   437     0     0     0     0     -1.508      2.258     14.192     14.450      0.140
   439       111   (pi0)              -84   434   437   714   715     0     0      0.214     -0.287      0.824      0.909      0.135
   440       221   (eta)              -84   434   437   716   717     0     0      0.322     -0.044      1.876      1.981      0.548
   441         2   (u)                -71   364   364   443   445   113     0      0.057      0.382      1.644      1.720      0.330
   442        -1   (dbar)             -71   355   355   443   445     0   113     -3.270     -0.849      0.506      3.432      0.330
   443       223   (omega)            -83   441   442   718   720     0     0     -0.114      0.413      0.823      1.216      0.786
   444       111   (pi0)              -83   441   442   721   722     0     0     -0.068     -0.254      0.446      0.535      0.135
   445       213   (rho+)             -84   441   442   642   643     0     0     -3.031     -0.626      0.881      3.402      1.103
   446         3   (s)                -71   323   323   449   453   108     0     -2.408     -1.936   -173.873    173.901      0.500
   447        21   (g)                -71   336   336   449   453   159   108      0.605     -0.054    -18.519     18.529      0.000
   448        -1   (dbar)             -71   318   318   449   453     0   159      1.228      1.596   -115.904    115.922      0.330
   449      -323   (K*-)              -83   446   448   644   645     0     0     -0.649     -1.225    -82.024     82.041      0.919
   450       111   (pi0)              -83   446   448   723   724     0     0     -1.084     -0.529    -68.878     68.889      0.135
   451       221   (eta)              -83   446   448   725   727     0     0     -0.340      0.168    -60.969     60.972      0.548
   452       211   pi+                 83   446   448     0     0     0     0      0.987      0.452    -32.463     32.481      0.140
   453       111   (pi0)              -84   446   448   728   729     0     0      0.510      0.739    -63.963     63.969      0.135
   454         1   (d)                -71   296   296   460   463   118     0      0.918      0.066     -0.736      1.224      0.330
   455        21   (g)                -71   302   302   460   463   161   118      3.799      1.949     -1.574      4.550      0.000
   456        21   (g)                -71   285   285   460   463   177   161      5.141      1.560     -1.967      5.722      0.000
   457        21   (g)                -71   305   305   460   463   185   177      0.857      0.794     -0.507      1.274      0.000
   458        21   (g)                -71   307   307   460   463   109   185      1.756      0.299     -0.665      1.902      0.000
   459        -5   (bbar)             -71   283   283   460   463     0   109     40.580     17.675     -4.760     44.776      4.800
   460      -213   (rho-)             -83   454   459   646   647     0     0      1.794      0.820     -1.242      2.483      0.854
   461       211   pi+                 84   454   459     0     0     0     0      4.701      1.446     -2.170      5.378      0.140
   462       223   (omega)            -84   454   459   730   732     0     0      7.487      3.462     -2.093      8.546      0.781
   463       511   (B0)               -84   454   459   733   738     0     0     39.070     16.614     -4.704     43.041      5.280
   464         5   (b)                -71   381   381   470   476   200     0    -33.279     22.676    -40.721     57.471      4.800
   465        21   (g)                -71   377   377   470   476   199   200     -0.447      0.758     -1.309      1.577      0.000
   466        21   (g)                -71   384   384   470   476   201   199     -0.568      1.354     -0.816      1.679      0.000
   467        21   (g)                -71   422   422   470   476   205   201     -1.037      0.682     -0.614      1.398      0.189
   468        21   (g)                -71   388   388   470   476   102   205     -4.443      3.048     -5.778      7.900      0.000
   469        -1   (dbar)             -71   290   290   470   476     0   102      0.060      0.556     -1.638      1.762      0.330
   470      -513   (B*bar0)           -83   464   469   739   740     0     0    -28.682     20.023    -35.570     50.172      5.325
   471      -211   pi-                 83   464   469     0     0     0     0     -1.558      1.184     -1.714      2.605      0.140
   472       213   (rho+)             -83   464   469   648   649     0     0     -4.132      2.765     -4.805      7.011      1.163
   473      -211   pi-                 83   464   469     0     0     0     0     -0.079      0.949     -0.390      1.038      0.140
   474       211   pi+                 84   464   469     0     0     0     0     -3.104      2.265     -4.791      6.144      0.140
   475       311   (K0)               -84   464   469   650   650     0     0     -0.997      0.840     -1.315      1.917      0.498
   476      -313   (K*bar0)           -84   464   469   651   652     0     0     -1.163      1.047     -2.291      2.902      0.848
   477         1   (d)                -71   370   370   482   488   117     0     -0.933      0.303     -9.894      9.948      0.330
   478        21   (g)                -71   286   286   482   488   138   117      1.710     -0.075    -17.302     17.386      0.000
   479        21   (g)                -71   297   297   482   488   157   138      0.474     -0.042     -2.385      2.432      0.000
   480        21   (g)                -71   301   301   482   488   101   157     -0.591      0.730     -5.567      5.646      0.000
   481        -2   (ubar)             -71   289   289   482   488     0   101      0.249      1.176      0.419      1.315      0.330
   482      -211   pi-                 83   477   481     0     0     0     0      0.609      0.071    -10.396     10.415      0.140
   483       211   pi+                 83   477   481     0     0     0     0     -0.038      0.118     -0.441      0.479      0.140
   484      -213   (rho-)             -83   477   481   653   654     0     0      0.186     -0.290    -12.986     13.019      0.864
   485      2212   p+                  84   477   481     0     0     0     0      0.187      0.395     -5.650      5.744      0.938
   486       221   (eta)              -84   477   481   741   742     0     0     -0.406      0.149     -0.829      1.084      0.548
   487     -2212   pbar-               84   477   481     0     0     0     0      0.110     -0.116     -4.046      4.157      0.938
   488       111   (pi0)              -84   477   481   743   744     0     0      0.263      1.765     -0.380      1.829      0.135
   489         2   (u)                -71   411   411   498   508   172     0      1.012     -1.171      3.520      3.924      0.787
   490        21   (g)                -71   299   299   498   508   184   172      4.717     -0.989     10.007     11.107      0.000
   491        21   (g)                -71   409   409   498   508   139   184      3.076     -1.793      8.640      9.355      0.440
   492        21   (g)                -71   298   298   498   508   119   139      2.548     -1.538      5.381      6.149      0.000
   493        21   (g)                -71   288   288   498   508   191   119      0.032     -0.150      0.064      0.166      0.000
   494        21   (g)                -71   308   308   498   508   127   191      2.382     -0.648      4.040      4.735      0.000
   495        21   (g)                -71   291   291   498   508   106   127      1.863      0.761      5.385      5.748      0.000
   496        21   (g)                -71   293   293   498   508   165   106      1.077     -0.224     12.079     12.129      0.000
   497      2101   (ud_0)             -71   410   410   498   508     0   165      0.001     -0.120      9.670      9.728      1.051
   498       223   (omega)            -83   489   497   745   747     0     0      1.035     -0.682      3.473      3.769      0.779
   499       111   (pi0)              -83   489   497   748   749     0     0      2.071     -0.632      4.160      4.692      0.135
   500       111   (pi0)              -83   489   497   750   751     0     0      2.461     -1.315      7.042      7.576      0.135
   501       211   pi+                 83   489   497     0     0     0     0      2.117     -1.100      6.004      6.463      0.140
   502       311   (K0)               -84   489   497   655   655     0     0      2.824     -1.183      3.867      4.958      0.498
   503      -311   (Kbar0)            -84   489   497   656   656     0     0      1.532     -0.985      4.500      4.880      0.498
   504       331   (eta')             -84   489   497   752   754     0     0      1.672      0.276      4.210      4.639      0.958
   505      -213   (rho-)             -84   489   497   657   658     0     0      1.011     -0.610      5.569      5.749      0.804
   506       213   (rho+)             -84   489   497   659   660     0     0      0.381      0.238      3.384      3.507      0.803
   507       113   (rho0)             -84   489   497   661   662     0     0      0.861      0.566      6.051      6.209      0.936
   508      2112   n0                  84   489   497     0     0     0     0      0.742     -0.445     10.524     10.601      0.940
   509         2   (u)                -71   396   396   515   528   210     0    -11.870    -61.718     32.765     70.878      0.330
   510        21   (g)                -71   397   397   515   528   103   210     -0.698     -8.212      3.308      8.881      0.000
   511        21   (g)                -71   407   407   515   528   209   103      0.416     -0.308      0.332      0.615      0.000
   512        21   (g)                -71   406   406   515   528   213   209      0.293      0.297      0.024      0.418      0.000
   513        21   (g)                -71   423   423   515   528   212   213     -4.406      3.908      3.358      6.787      0.325
   514        -1   (dbar)             -71   402   402   515   528     0   212    -20.950     14.221     12.259     28.134      0.330
   515       111   (pi0)              -83   509   514   755   756     0     0     -2.005     -9.934      5.183     11.384      0.135
   516       111   (pi0)              -83   509   514   757   758     0     0     -3.511    -18.315      9.901     21.115      0.135
   517       111   (pi0)              -83   509   514   759   760     0     0     -4.190    -22.488     11.698     25.693      0.135
   518       211   pi+                 83   509   514     0     0     0     0     -0.980     -7.337      3.767      8.306      0.140
   519       221   (eta)              -83   509   514   761   763     0     0     -1.180     -5.918      2.897      6.717      0.548
   520      -213   (rho-)             -83   509   514   663   664     0     0      0.121     -1.913      1.048      2.337      0.831
   521       111   (pi0)              -83   509   514   764   765     0     0     -0.460     -3.216      1.376      3.531      0.135
   522       211   pi+                 83   509   514     0     0     0     0      0.387     -1.089      0.449      1.248      0.140
   523      -211   pi-                 84   509   514     0     0     0     0     -0.566      0.300      0.758      1.002      0.140
   524       211   pi+                 84   509   514     0     0     0     0     -2.188      1.980      0.800      3.061      0.140
   525       113   (rho0)             -84   509   514   665   666     0     0     -4.496      3.359      3.276      6.538      0.721
   526      -211   pi-                 84   509   514     0     0     0     0     -1.034      0.870      0.588      1.480      0.140
   527       211   pi+                 84   509   514     0     0     0     0     -1.647      1.368      0.728      2.266      0.140
   528       113   (rho0)             -84   509   514   667   668     0     0    -15.465     10.520      9.578     21.037      0.987
   529         2   (u)                -71   312   312   543   563   176     0      1.191     -0.431     -3.020      3.292      0.330
   530        21   (g)                -71   343   343   543   563   152   176      4.892     -0.420    -12.735     13.649      0.000
   531        21   (g)                -71   335   335   543   563   123   152      1.256     -0.438     -2.573      2.896      0.000
   532        21   (g)                -71   320   320   543   563   174   123      1.977     -0.946     -6.356      6.723      0.000
   533        21   (g)                -71   415   415   543   563   105   174      3.983     -1.962     -8.893      9.957      0.596
   534        21   (g)                -71   337   337   543   563   163   105      0.562      0.286     -0.139      0.645      0.000
   535        21   (g)                -71   325   325   543   563   169   163      0.005      0.171     -0.500      0.528      0.000
   536        21   (g)                -71   345   345   543   563   179   169     -0.471      0.066     -0.091      0.484      0.000
   537        21   (g)                -71   340   340   543   563   183   179      0.201     -0.267      2.465      2.487      0.000
   538        21   (g)                -71   414   414   543   563   150   183     -0.881     -2.329      8.857      9.213      0.492
   539        21   (g)                -71   330   330   543   563   126   150     -0.616      0.128      3.650      3.704      0.000
   540        21   (g)                -71   315   315   543   563   182   126     -1.614      0.015     19.699     19.765      0.000
   541        21   (g)                -71   413   413   543   563   110   182      0.038      0.399     15.775     15.780      0.119
   542        -1   (dbar)             -71   356   356   543   563     0   110      2.511      0.851    116.539    116.570      0.330
   543       213   (rho+)             -83   529   542   669   670     0     0      4.067     -0.810    -10.518     11.331      0.752
   544       113   (rho0)             -83   529   542   671   672     0     0      3.259     -1.321     -7.040      7.915      0.840
   545       313   (K*0)              -83   529   542   673   674     0     0      1.224      0.025     -2.894      3.274      0.922
   546       221   (eta)              -83   529   542   766   768     0     0      1.272      0.069     -3.012      3.316      0.548
   547      -311   (Kbar0)            -83   529   542   675   675     0     0      2.703     -1.608     -8.333      8.920      0.498
   548       223   (omega)            -83   529   542   769   771     0     0      0.632     -0.001     -1.873      2.124      0.777
   549       111   (pi0)              -83   529   542   772   773     0     0      0.213      0.174      0.285      0.418      0.135
   550       223   (omega)            -83   529   542   774   776     0     0      0.116     -0.450     -0.132      0.915      0.777
   551       111   (pi0)              -84   529   542   777   778     0     0      0.271     -0.130      1.146      1.193      0.135
   552      -213   (rho-)             -84   529   542   676   677     0     0      0.070     -0.699      1.692      2.083      0.991
   553       211   pi+                 84   529   542     0     0     0     0     -0.696      0.009      2.372      2.476      0.140
   554       113   (rho0)             -84   529   542   678   679     0     0     -0.776     -0.216      1.359      1.762      0.780
   555      -211   pi-                 84   529   542     0     0     0     0      0.497     -0.270      2.915      2.973      0.140
   556       213   (rho+)             -84   529   542   680   681     0     0     -0.959     -0.309      9.989     10.090      1.011
   557       111   (pi0)              -84   529   542   779   780     0     0     -0.045     -0.451      9.741      9.752      0.135
   558       111   (pi0)              -84   529   542   781   782     0     0      0.079      0.175      0.604      0.648      0.135
   559       111   (pi0)              -84   529   542   783   784     0     0     -0.816     -0.365      9.194      9.238      0.135
   560      -213   (rho-)             -84   529   542   682   683     0     0     -0.011      0.217     10.822     10.852      0.777
   561       211   pi+                 84   529   542     0     0     0     0      0.543      0.605     23.954     23.969      0.140
   562      2112   n0                  84   529   542     0     0     0     0      0.359     -0.098     21.032     21.056      0.940
   563     -2112   nbar0               84   529   542     0     0     0     0      1.033      0.577     71.375     71.391      0.940
   564         1   (d)                -71   316   316   569   585   173     0      2.223     -2.073   -192.311    192.336      0.330
   565        21   (g)                -71   341   341   569   585   111   173     -0.007      0.224    -16.273     16.275      0.000
   566        21   (g)                -71   354   354   569   585   160   111      4.075     -3.326     -1.204      5.396      0.000
   567        21   (g)                -71   361   361   569   585   114   160      0.593      0.176     -0.175      0.643      0.000
   568        -2   (ubar)             -71   367   367   569   585     0   114      0.094     -0.320     75.655     75.656      0.330
   569       311   (K0)               -83   564   568   684   684     0     0      1.364     -1.065    -97.032     97.048      0.498
   570      -323   (K*-)              -83   564   568   685   686     0     0     -0.052     -0.043    -23.821     23.836      0.825
   571       211   pi+                 83   564   568     0     0     0     0      0.812     -0.621    -60.039     60.048      0.140
   572       111   (pi0)              -83   564   568   785   786     0     0     -0.174     -0.011     -2.577      2.586      0.135
   573       221   (eta)              -83   564   568   787   788     0     0     -0.030      0.090     -8.295      8.313      0.548
   574      -213   (rho-)             -83   564   568   687   688     0     0      0.818     -0.331     -8.042      8.204      1.358
   575       223   (omega)            -83   564   568   789   791     0     0     -0.369      0.204     -3.738      3.833      0.735
   576       223   (omega)            -83   564   568   792   794     0     0      0.470     -0.250     -3.553      3.672      0.760
   577       213   (rho+)             -83   564   568   689   690     0     0      0.645     -1.015     -0.320      1.470      0.782
   578      -211   pi-                 84   564   568     0     0     0     0      0.338     -0.272     -0.868      0.980      0.140
   579       223   (omega)            -84   564   568   795   797     0     0      0.350     -0.163     -0.620      1.079      0.794
   580       211   pi+                 84   564   568     0     0     0     0      1.669     -0.457     -1.034      2.021      0.140
   581      -213   (rho-)             -84   564   568   691   692     0     0      1.048     -1.275      0.749      2.238      1.312
   582       213   (rho+)             -84   564   568   693   694     0     0      0.124     -0.043     13.389     13.415      0.820
   583      -211   pi-                 84   564   568     0     0     0     0     -0.374      0.338      8.434      8.450      0.140
   584       221   (eta)              -84   564   568   798   799     0     0      0.750     -0.326     50.988     50.997      0.548
   585       111   (pi0)              -84   564   568   800   801     0     0     -0.411     -0.078      2.069      2.115      0.135
   586         2   (u)                -71   366   366   602   635   129     0     -0.134     -0.682   3460.541   3460.541      0.330
   587        21   (g)                -71   324   324   602   635   167   129      0.819      0.194     76.219     76.224      0.000
   588        21   (g)                -71   339   339   602   635   107   167      0.121      0.228      1.523      1.545      0.000
   589        21   (g)                -71   326   326   602   635   190   107     -0.106      0.348      0.150      0.394      0.000
   590        21   (g)                -71   420   420   602   635   186   190     -0.277      0.045      3.689      3.722      0.410
   591        21   (g)                -71   348   348   602   635   125   186     -0.004     -0.720      0.694      1.000      0.000
   592        21   (g)                -71   349   349   602   635   188   125      0.673     -0.330     -0.154      0.765      0.000
   593        21   (g)                -71   332   332   602   635   145   188      8.195     -0.882     -5.472      9.893      0.000
   594        21   (g)                -71   419   419   602   635   134   145      3.147     -0.522     -0.191      3.222      0.410
   595        21   (g)                -71   327   327   602   635   137   134      2.308     -0.375     -1.509      2.783      0.000
   596        21   (g)                -71   328   328   602   635   104   137      0.493     -0.417     -2.470      2.553      0.000
   597        21   (g)                -71   350   350   602   635   189   104     -0.383     -0.648     -2.598      2.705      0.000
   598        21   (g)                -71   317   317   602   635   122   189     -1.452     -1.943    -16.239     16.419      0.000
   599        21   (g)                -71   319   319   602   635   141   122      0.783     -0.342     -5.494      5.560      0.000
   600        21   (g)                -71   329   329   602   635   115   141     -0.133      0.229    -21.817     21.818      0.000
   601        -3   (sbar)             -71   314   314   602   635     0   115     -1.062     -3.631   -184.893    184.932      0.500
   602       221   (eta)              -83   586   601   802   804     0     0     -0.072     -0.192   1029.273   1029.274      0.548
   603       213   (rho+)             -83   586   601   695   696     0     0      0.252     -0.432    826.675    826.676      0.774
   604      -211   pi-                 83   586   601     0     0     0     0     -0.105      0.144   1311.419   1311.419      0.140
   605       321   K+                  83   586   601     0     0     0     0     -0.095     -0.114    264.782    264.782      0.494
   606      -311   (Kbar0)            -83   586   601   697   697     0     0      0.485     -0.184     42.142     42.148      0.498
   607      -211   pi-                 83   586   601     0     0     0     0     -0.222      0.379     19.087     19.092      0.140
   608       211   pi+                 83   586   601     0     0     0     0      0.236     -0.112     14.652     14.655      0.140
   609       223   (omega)            -83   586   601   805   807     0     0     -0.046      0.259     16.065     16.087      0.800
   610       111   (pi0)              -83   586   601   808   809     0     0      0.242      0.329      7.411      7.423      0.135
   611      -211   pi-                 83   586   601     0     0     0     0      0.061     -0.493      3.185      3.227      0.140
   612       331   (eta')             -83   586   601   810   812     0     0      0.198      0.259      5.542      5.633      0.958
   613       223   (omega)            -83   586   601   813   815     0     0     -0.033     -0.097      0.847      1.162      0.788
   614      2212   p+                  83   586   601     0     0     0     0     -0.189      0.047      0.519      1.090      0.938
   615     -2112   nbar0               83   586   601     0     0     0     0      0.360     -0.294      0.190      1.065      0.940
   616      -211   pi-                 83   586   601     0     0     0     0      0.837      0.067      0.416      0.947      0.140
   617       321   K+                  83   586   601     0     0     0     0      2.307     -0.543     -1.913      3.085      0.494
   618      -323   (K*-)              -83   586   601   698   699     0     0      1.391     -0.399     -0.287      1.774      0.986
   619       211   pi+                 83   586   601     0     0     0     0      6.096     -0.964     -3.742      7.219      0.140
   620       221   (eta)              -84   586   601   816   818     0     0      0.784     -0.219      0.086      0.985      0.548
   621      -211   pi-                 84   586   601     0     0     0     0      0.705     -0.117     -0.398      0.830      0.140
   622       323   (K*+)              -84   586   601   700   701     0     0      0.601     -0.235     -1.089      1.555      0.903
   623      -323   (K*-)              -84   586   601   702   703     0     0      0.505     -0.120     -2.005      2.262      0.910
   624       111   (pi0)              -84   586   601   819   821     0     0     -0.222     -0.211     -0.320      0.463      0.135
   625       321   K+                  84   586   601     0     0     0     0      0.255     -0.325     -2.766      2.840      0.494
   626      -311   (Kbar0)            -84   586   601   704   704     0     0     -0.077     -0.485     -2.166      2.277      0.498
   627      -211   pi-                 84   586   601     0     0     0     0     -0.098      0.112     -0.164      0.262      0.140
   628       211   pi+                 84   586   601     0     0     0     0      0.037     -0.112     -3.992      3.996      0.140
   629      -211   pi-                 84   586   601     0     0     0     0      0.138     -0.620     -3.253      3.318      0.140
   630       221   (eta)              -84   586   601   822   823     0     0      0.356     -0.022     -2.181      2.277      0.548
   631       213   (rho+)             -84   586   601   705   706     0     0     -1.053     -1.457    -14.001     14.143      0.865
   632       311   (K0)               -84   586   601   707   707     0     0      0.434     -0.086    -20.569     20.580      0.498
   633      -313   (K*bar0)           -84   586   601   708   709     0     0     -0.411     -0.132    -22.216     22.238      0.878
   634      -211   pi-                 84   586   601     0     0     0     0      0.099      0.110     -1.745      1.757      0.140
   635       321   K+                  84   586   601     0     0     0     0     -0.768     -3.187   -157.501    157.536      0.494
   636      2112   n0                  91   427     0     0     0     0     0     -0.430      1.083  -2250.372   2250.373      0.940
   637       211   pi+                 91   427     0     0     0     0     0     -0.383      0.061   -454.339    454.340      0.140
   638       211   pi+                 91   431     0     0     0     0     0     -0.035      0.757     -0.087      0.776      0.140
   639      -211   pi-                 91   431     0     0     0     0     0      0.574      0.311      0.259      0.716      0.140
   640      -211   pi-                 91   432     0     0     0     0     0     -0.108      0.370     -0.069      0.416      0.140
   641       111   (pi0)              -91   432     0   824   825     0     0     -0.031     -0.274     -0.071      0.315      0.135
   642       211   pi+                 91   445     0     0     0     0     0     -1.331     -0.798      0.574      1.660      0.140
   643       111   (pi0)              -91   445     0   826   827     0     0     -1.700      0.172      0.307      1.741      0.135
   644      -311   (Kbar0)            -91   449     0   710   710     0     0     -0.702     -0.831    -68.052     68.062      0.498
   645      -211   pi-                 91   449     0     0     0     0     0      0.053     -0.394    -13.973     13.979      0.140
   646      -211   pi-                 91   460     0     0     0     0     0      1.018      0.061     -0.795      1.301      0.140
   647       111   (pi0)              -91   460     0   828   829     0     0      0.776      0.760     -0.447      1.182      0.135
   648       211   pi+                 91   472     0     0     0     0     0     -1.595      0.572     -2.092      2.696      0.140
   649       111   (pi0)              -91   472     0   830   831     0     0     -2.537      2.193     -2.713      4.315      0.135
   650       130   K_L0                91   475   475     0     0     0     0     -0.997      0.840     -1.315      1.917      0.498
   651      -321   K-                  91   476     0     0     0     0     0     -0.691      0.906     -1.382      1.858      0.494
   652       211   pi+                 91   476     0     0     0     0     0     -0.473      0.141     -0.909      1.044      0.140
   653      -211   pi-                 91   484     0     0     0     0     0     -0.275      0.069     -5.645      5.654      0.140
   654       111   (pi0)              -91   484     0   832   833     0     0      0.460     -0.359     -7.341      7.365      0.135
   655       310   (K_S0)             -91   502   502   834   835     0     0      2.824     -1.183      3.867      4.958      0.498
   656       130   K_L0                91   503   503     0     0     0     0      1.532     -0.985      4.500      4.880      0.498
   657      -211   pi-                 91   505     0     0     0     0     0      0.426      0.132      2.105      2.156      0.140
   658       111   (pi0)              -91   505     0   836   837     0     0      0.585     -0.742      3.464      3.593      0.135
   659       211   pi+                 91   506     0     0     0     0     0      0.215      0.252      3.210      3.230      0.140
   660       111   (pi0)              -91   506     0   838   839     0     0      0.167     -0.014      0.174      0.276      0.135
   661       211   pi+                 91   507     0     0     0     0     0      0.418      0.431      1.360      1.494      0.140
   662      -211   pi-                 91   507     0     0     0     0     0      0.443      0.135      4.690      4.715      0.140
   663      -211   pi-                 91   520     0     0     0     0     0     -0.295     -1.012      0.717      1.282      0.140
   664       111   (pi0)              -91   520     0   840   841     0     0      0.416     -0.902      0.330      1.055      0.135
   665       211   pi+                 91   525     0     0     0     0     0     -4.289      3.094      3.123      6.143      0.140
   666      -211   pi-                 91   525     0     0     0     0     0     -0.208      0.265      0.153      0.395      0.140
   667       211   pi+                 91   528     0     0     0     0     0    -10.219      6.599      5.840     13.495      0.140
   668      -211   pi-                 91   528     0     0     0     0     0     -5.245      3.921      3.738      7.542      0.140
   669       211   pi+                 91   543     0     0     0     0     0      1.495     -0.597     -3.601      3.947      0.140
   670       111   (pi0)              -91   543     0   842   843     0     0      2.572     -0.213     -6.916      7.383      0.135
   671       211   pi+                 91   544     0     0     0     0     0      2.878     -0.877     -5.773      6.512      0.140
   672      -211   pi-                 91   544     0     0     0     0     0      0.381     -0.445     -1.267      1.403      0.140
   673       321   K+                  91   545     0     0     0     0     0      0.604      0.171     -1.051      1.320      0.494
   674      -211   pi-                 91   545     0     0     0     0     0      0.620     -0.146     -1.842      1.954      0.140
   675       130   K_L0                91   547   547     0     0     0     0      2.703     -1.608     -8.333      8.920      0.498
   676      -211   pi-                 91   552     0     0     0     0     0     -0.263     -0.773      1.338      1.573      0.140
   677       111   (pi0)              -91   552     0   844   845     0     0      0.333      0.074      0.355      0.510      0.135
   678       211   pi+                 91   554     0     0     0     0     0     -0.742     -0.213      0.595      0.985      0.140
   679      -211   pi-                 91   554     0     0     0     0     0     -0.034     -0.003      0.764      0.777      0.140
   680       211   pi+                 91   556     0     0     0     0     0     -0.101     -0.146      6.018      6.022      0.140
   681       111   (pi0)              -91   556     0   846   847     0     0     -0.858     -0.163      3.971      4.068      0.135
   682      -211   pi-                 91   560     0     0     0     0     0     -0.167      0.448      6.591      6.610      0.140
   683       111   (pi0)              -91   560     0   848   849     0     0      0.155     -0.230      4.231      4.243      0.135
   684       310   (K_S0)             -91   569   569   850   851     0     0      1.364     -1.065    -97.032     97.048      0.498
   685      -311   (Kbar0)            -91   570     0   711   711     0     0     -0.046     -0.160    -10.478     10.491      0.498
   686      -211   pi-                 91   570     0     0     0     0     0     -0.007      0.117    -13.343     13.344      0.140
   687      -211   pi-                 91   574     0     0     0     0     0     -0.341     -0.142     -2.940      2.966      0.140
   688       111   (pi0)              -91   574     0   852   853     0     0      1.159     -0.190     -5.102      5.238      0.135
   689       211   pi+                 91   577     0     0     0     0     0      0.363     -0.837     -0.519      1.059      0.140
   690       111   (pi0)              -91   577     0   854   855     0     0      0.282     -0.178      0.199      0.411      0.135
   691      -211   pi-                 91   581     0     0     0     0     0      1.022     -1.487      0.801      1.979      0.140
   692       111   (pi0)              -91   581     0   856   857     0     0      0.025      0.212     -0.052      0.258      0.135
   693       211   pi+                 91   582     0     0     0     0     0      0.161     -0.043     12.992     12.994      0.140
   694       111   (pi0)              -91   582     0   858   859     0     0     -0.037     -0.000      0.397      0.421      0.135
   695       211   pi+                 91   603     0     0     0     0     0     -0.030      0.182    185.420    185.420      0.140
   696       111   (pi0)              -91   603     0   860   861     0     0      0.282     -0.613    641.255    641.255      0.135
   697       130   K_L0                91   606   606     0     0     0     0      0.485     -0.184     42.142     42.148      0.498
   698      -321   K-                  91   618     0     0     0     0     0      1.256     -0.505     -0.441      1.507      0.494
   699       111   (pi0)              -91   618     0   862   863     0     0      0.135      0.106      0.154      0.267      0.135
   700       311   (K0)               -91   622     0   712   712     0     0      0.337     -0.246     -1.075      1.255      0.498
   701       211   pi+                 91   622     0     0     0     0     0      0.265      0.011     -0.014      0.300      0.140
   702      -311   (Kbar0)            -91   623     0   713   713     0     0      0.433      0.199     -1.400      1.560      0.498
   703      -211   pi-                 91   623     0     0     0     0     0      0.072     -0.319     -0.605      0.702      0.140
   704       310   (K_S0)             -91   626   626   864   865     0     0     -0.077     -0.485     -2.166      2.277      0.498
   705       211   pi+                 91   631     0     0     0     0     0     -0.167     -0.881     -7.498      7.553      0.140
   706       111   (pi0)              -91   631     0   866   867     0     0     -0.886     -0.575     -6.503      6.590      0.135
   707       130   K_L0                91   632   632     0     0     0     0      0.434     -0.086    -20.569     20.580      0.498
   708      -321   K-                  91   633     0     0     0     0     0     -0.564     -0.150    -18.438     18.454      0.494
   709       211   pi+                 91   633     0     0     0     0     0      0.153      0.018     -3.779      3.784      0.140
   710       310   (K_S0)             -91   644   644   868   869     0     0     -0.702     -0.831    -68.052     68.062      0.498
   711       310   (K_S0)             -91   685   685   870   871     0     0     -0.046     -0.160    -10.478     10.491      0.498
   712       130   K_L0                91   700   700     0     0     0     0      0.337     -0.246     -1.075      1.255      0.498
   713       130   K_L0                91   702   702     0     0     0     0      0.433      0.199     -1.400      1.560      0.498
   714        22   gamma               91   439     0     0     0     0     0      0.168     -0.201      0.719      0.765      0.000
   715        22   gamma               91   439     0     0     0     0     0      0.046     -0.086      0.105      0.143      0.000
   716        22   gamma               91   440     0     0     0     0     0      0.353      0.035      0.562      0.665      0.000
   717        22   gamma               91   440     0     0     0     0     0     -0.031     -0.078      1.314      1.316      0.000
   718       211   pi+                 91   443     0     0     0     0     0      0.182      0.020      0.262      0.349      0.140
   719      -211   pi-                 91   443     0     0     0     0     0      0.042      0.179      0.264      0.351      0.140
   720       111   (pi0)              -91   443     0   872   873     0     0     -0.338      0.214      0.297      0.516      0.135
   721        22   gamma               91   444     0     0     0     0     0      0.017     -0.001      0.082      0.084      0.000
   722        22   gamma               91   444     0     0     0     0     0     -0.084     -0.253      0.363      0.451      0.000
   723        22   gamma               91   450     0     0     0     0     0     -0.618     -0.293    -35.227     35.233      0.000
   724        22   gamma               91   450     0     0     0     0     0     -0.466     -0.236    -33.651     33.655      0.000
   725       211   pi+                 91   451     0     0     0     0     0     -0.242     -0.051    -29.286     29.288      0.140
   726      -211   pi-                 91   451     0     0     0     0     0     -0.043      0.106    -11.422     11.423      0.140
   727       111   (pi0)              -91   451     0   874   875     0     0     -0.056      0.113    -20.260     20.261      0.135
   728        22   gamma               91   453     0     0     0     0     0      0.360      0.612    -48.638     48.643      0.000
   729        22   gamma               91   453     0     0     0     0     0      0.150      0.127    -15.325     15.326      0.000
   730       211   pi+                 91   462     0     0     0     0     0      1.502      0.768     -0.274      1.715      0.140
   731      -211   pi-                 91   462     0     0     0     0     0      1.234      0.390     -0.314      1.339      0.140
   732       111   (pi0)              -91   462     0   876   877     0     0      4.751      2.304     -1.504      5.492      0.135
   733       111   (pi0)              -91   463     0   878   879     0     0      1.120      0.434     -0.067      1.211      0.135
   734      2212   p+                  91   463     0     0     0     0     0      6.360      2.498     -0.858      6.950      0.938
   735       111   (pi0)              -91   463     0   880   881     0     0      1.156      0.436     -0.047      1.243      0.135
   736     -3122   (Lambdabar0)       -91   463     0   882   883     0     0      8.305      3.425     -0.749      9.083      1.116
   737      -323   (K*-)              -91   463     0   884   885     0     0      8.232      3.724     -0.987      9.133      0.896
   738      -421   (Dbar0)            -91   463     0   886   887     0     0     13.896      6.098     -1.998     15.420      1.865
   739      -511   (Bbar0)            -91   470     0   888   889     0     0    -28.334     19.827    -35.199     49.626      5.280
   740        22   gamma               91   470     0     0     0     0     0     -0.347      0.197     -0.372      0.545      0.000
   741        22   gamma               91   486     0     0     0     0     0     -0.010      0.090      0.060      0.109      0.000
   742        22   gamma               91   486     0     0     0     0     0     -0.396      0.059     -0.889      0.975      0.000
   743        22   gamma               91   488     0     0     0     0     0      0.222      1.041     -0.232      1.089      0.000
   744        22   gamma               91   488     0     0     0     0     0      0.041      0.724     -0.148      0.740      0.000
   745       211   pi+                 91   498     0     0     0     0     0      0.614     -0.182      1.809      1.924      0.140
   746      -211   pi-                 91   498     0     0     0     0     0      0.275     -0.075      0.527      0.616      0.140
   747       111   (pi0)              -91   498     0   890   891     0     0      0.146     -0.424      1.137      1.230      0.135
   748        22   gamma               91   499     0     0     0     0     0      0.143     -0.050      0.373      0.402      0.000
   749        22   gamma               91   499     0     0     0     0     0      1.927     -0.581      3.788      4.289      0.000
   750        22   gamma               91   500     0     0     0     0     0      0.400     -0.166      1.026      1.114      0.000
   751        22   gamma               91   500     0     0     0     0     0      2.061     -1.149      6.016      6.462      0.000
   752       111   (pi0)              -91   504     0   892   893     0     0      0.394      0.066      0.752      0.862      0.135
   753       111   (pi0)              -91   504     0   894   895     0     0      0.632      0.148      1.369      1.521      0.135
   754       221   (eta)              -91   504     0   896   898     0     0      0.646      0.062      2.089      2.255      0.548
   755        22   gamma               91   515     0     0     0     0     0     -0.842     -4.497      2.320      5.129      0.000
   756        22   gamma               91   515     0     0     0     0     0     -1.164     -5.437      2.863      6.254      0.000
   757        22   gamma               91   516     0     0     0     0     0     -1.306     -6.782      3.741      7.855      0.000
   758        22   gamma               91   516     0     0     0     0     0     -2.205    -11.533      6.160     13.260      0.000
   759        22   gamma               91   517     0     0     0     0     0     -1.334     -7.445      3.827      8.477      0.000
   760        22   gamma               91   517     0     0     0     0     0     -2.856    -15.043      7.870     17.216      0.000
   761       111   (pi0)              -91   519     0   899   900     0     0     -0.116     -0.587      0.284      0.676      0.135
   762       111   (pi0)              -91   519     0   901   902     0     0     -0.813     -4.130      2.007      4.665      0.135
   763       111   (pi0)              -91   519     0   903   904     0     0     -0.251     -1.202      0.607      1.376      0.135
   764        22   gamma               91   521     0     0     0     0     0     -0.013     -0.236      0.070      0.246      0.000
   765        22   gamma               91   521     0     0     0     0     0     -0.447     -2.980      1.307      3.285      0.000
   766       111   (pi0)              -91   546     0   905   906     0     0      0.312      0.022     -0.550      0.647      0.135
   767       111   (pi0)              -91   546     0   907   908     0     0      0.762     -0.028     -1.749      1.912      0.135
   768       111   (pi0)              -91   546     0   909   910     0     0      0.197      0.075     -0.714      0.757      0.135
   769       211   pi+                 91   548     0     0     0     0     0      0.181      0.085     -0.131      0.277      0.140
   770      -211   pi-                 91   548     0     0     0     0     0      0.304      0.084     -1.136      1.187      0.140
   771       111   (pi0)              -91   548     0   911   912     0     0      0.146     -0.170     -0.606      0.660      0.135
   772        22   gamma               91   549     0     0     0     0     0      0.075      0.088      0.035      0.120      0.000
   773        22   gamma               91   549     0     0     0     0     0      0.138      0.087      0.249      0.298      0.000
   774       211   pi+                 91   550     0     0     0     0     0      0.063     -0.289     -0.290      0.437      0.140
   775      -211   pi-                 91   550     0     0     0     0     0     -0.065     -0.184      0.174      0.296      0.140
   776       111   (pi0)              -91   550     0   913   914     0     0      0.117      0.023     -0.015      0.181      0.135
   777        22   gamma               91   551     0     0     0     0     0      0.119      0.014      0.426      0.442      0.000
   778        22   gamma               91   551     0     0     0     0     0      0.152     -0.144      0.721      0.750      0.000
   779        22   gamma               91   557     0     0     0     0     0     -0.023     -0.365      8.711      8.718      0.000
   780        22   gamma               91   557     0     0     0     0     0     -0.022     -0.086      1.030      1.034      0.000
   781        22   gamma               91   558     0     0     0     0     0      0.053     -0.004      0.123      0.134      0.000
   782        22   gamma               91   558     0     0     0     0     0      0.026      0.179      0.481      0.514      0.000
   783        22   gamma               91   559     0     0     0     0     0     -0.102     -0.098      1.532      1.538      0.000
   784        22   gamma               91   559     0     0     0     0     0     -0.714     -0.267      7.662      7.700      0.000
   785        22   gamma               91   572     0     0     0     0     0     -0.119      0.041     -2.059      2.063      0.000
   786        22   gamma               91   572     0     0     0     0     0     -0.055     -0.053     -0.517      0.523      0.000
   787        22   gamma               91   573     0     0     0     0     0      0.186     -0.124     -4.872      4.878      0.000
   788        22   gamma               91   573     0     0     0     0     0     -0.216      0.213     -3.422      3.436      0.000
   789       211   pi+                 91   575     0     0     0     0     0     -0.164      0.182     -1.693      1.717      0.140
   790      -211   pi-                 91   575     0     0     0     0     0     -0.216     -0.018     -1.888      1.905      0.140
   791       111   (pi0)              -91   575     0   915   916     0     0      0.011      0.040     -0.157      0.211      0.135
   792       211   pi+                 91   576     0     0     0     0     0      0.090     -0.140     -1.512      1.528      0.140
   793      -211   pi-                 91   576     0     0     0     0     0      0.355     -0.246     -1.235      1.316      0.140
   794       111   (pi0)              -91   576     0   917   918     0     0      0.025      0.136     -0.805      0.828      0.135
   795       211   pi+                 91   579     0     0     0     0     0      0.115     -0.240     -0.371      0.478      0.140
   796      -211   pi-                 91   579     0     0     0     0     0      0.070     -0.044      0.088      0.185      0.140
   797       111   (pi0)              -91   579     0   919   920     0     0      0.164      0.121     -0.337      0.416      0.135
   798        22   gamma               91   584     0     0     0     0     0      0.807     -0.342     41.225     41.234      0.000
   799        22   gamma               91   584     0     0     0     0     0     -0.057      0.016      9.763      9.763      0.000
   800        22   gamma               91   585     0     0     0     0     0     -0.087     -0.004      0.222      0.238      0.000
   801        22   gamma               91   585     0     0     0     0     0     -0.324     -0.074      1.847      1.877      0.000
   802       111   (pi0)              -91   602     0   921   922     0     0     -0.080     -0.223    459.309    459.309      0.135
   803       111   (pi0)              -91   602     0   923   924     0     0      0.032     -0.054    291.909    291.909      0.135
   804       111   (pi0)              -91   602     0   925   926     0     0     -0.024      0.086    278.056    278.056      0.135
   805       211   pi+                 91   609     0     0     0     0     0     -0.163     -0.030      6.862      6.866      0.140
   806      -211   pi-                 91   609     0     0     0     0     0     -0.131      0.018      2.733      2.739      0.140
   807       111   (pi0)              -91   609     0   927   928     0     0      0.248      0.272      6.470      6.482      0.135
   808        22   gamma               91   610     0     0     0     0     0      0.049      0.154      3.558      3.561      0.000
   809        22   gamma               91   610     0     0     0     0     0      0.193      0.175      3.853      3.862      0.000
   810       211   pi+                 91   612     0     0     0     0     0      0.098     -0.036      0.801      0.820      0.140
   811      -211   pi-                 91   612     0     0     0     0     0     -0.037      0.144      2.047      2.057      0.140
   812       221   (eta)              -91   612     0   929   931     0     0      0.137      0.150      2.694      2.757      0.548
   813       211   pi+                 91   613     0     0     0     0     0      0.103      0.123      0.178      0.277      0.140
   814      -211   pi-                 91   613     0     0     0     0     0      0.004     -0.093      0.626      0.648      0.140
   815       111   (pi0)              -91   613     0   932   933     0     0     -0.140     -0.127      0.043      0.236      0.135
   816       211   pi+                 91   620     0     0     0     0     0      0.166      0.012     -0.096      0.237      0.140
   817      -211   pi-                 91   620     0     0     0     0     0      0.580     -0.126      0.185      0.637      0.140
   818        22   gamma               91   620     0     0     0     0     0      0.039     -0.104     -0.004      0.111      0.000
   819        22   gamma               91   624     0     0     0     0     0     -0.035     -0.120     -0.145      0.191      0.000
   820        11   e-                  91   624     0     0     0     0     0     -0.079     -0.039     -0.075      0.116      0.001
   821       -11   e+                  91   624     0     0     0     0     0     -0.107     -0.053     -0.101      0.156      0.001
   822        22   gamma               91   630     0     0     0     0     0      0.016     -0.244     -0.915      0.947      0.000
   823        22   gamma               91   630     0     0     0     0     0      0.341      0.222     -1.266      1.330      0.000
   824        22   gamma               91   641     0     0     0     0     0     -0.011     -0.039      0.038      0.055      0.000
   825        22   gamma               91   641     0     0     0     0     0     -0.021     -0.235     -0.109      0.260      0.000
   826        22   gamma               91   643     0     0     0     0     0     -1.678      0.174      0.287      1.711      0.000
   827        22   gamma               91   643     0     0     0     0     0     -0.022     -0.002      0.020      0.030      0.000
   828        22   gamma               91   647     0     0     0     0     0      0.002     -0.003     -0.011      0.012      0.000
   829        22   gamma               91   647     0     0     0     0     0      0.774      0.762     -0.436      1.171      0.000
   830        22   gamma               91   649     0     0     0     0     0     -1.254      1.114     -1.438      2.210      0.000
   831        22   gamma               91   649     0     0     0     0     0     -1.283      1.079     -1.274      2.106      0.000
   832        22   gamma               91   654     0     0     0     0     0      0.081     -0.010     -0.818      0.822      0.000
   833        22   gamma               91   654     0     0     0     0     0      0.379     -0.350     -6.523      6.543      0.000
   834       111   (pi0)              -91   655     0   934   935     0     0      1.803     -0.748      2.768      3.390      0.135
   835       111   (pi0)              -91   655     0   936   937     0     0      1.021     -0.435      1.100      1.568      0.135
   836        22   gamma               91   658     0     0     0     0     0      0.345     -0.331      1.682      1.749      0.000
   837        22   gamma               91   658     0     0     0     0     0      0.240     -0.411      1.782      1.844      0.000
   838        22   gamma               91   660     0     0     0     0     0      0.016     -0.050      0.016      0.055      0.000
   839        22   gamma               91   660     0     0     0     0     0      0.151      0.037      0.158      0.221      0.000
   840        22   gamma               91   664     0     0     0     0     0      0.230     -0.423      0.222      0.530      0.000
   841        22   gamma               91   664     0     0     0     0     0      0.186     -0.479      0.108      0.525      0.000
   842        22   gamma               91   670     0     0     0     0     0      1.955     -0.134     -5.392      5.738      0.000
   843        22   gamma               91   670     0     0     0     0     0      0.616     -0.079     -1.524      1.646      0.000
   844        22   gamma               91   677     0     0     0     0     0      0.296      0.049      0.356      0.466      0.000
   845        22   gamma               91   677     0     0     0     0     0      0.037      0.025     -0.001      0.044      0.000
   846        22   gamma               91   681     0     0     0     0     0     -0.119      0.019      0.451      0.466      0.000
   847        22   gamma               91   681     0     0     0     0     0     -0.740     -0.182      3.520      3.602      0.000
   848        22   gamma               91   683     0     0     0     0     0      0.032     -0.164      2.535      2.541      0.000
   849        22   gamma               91   683     0     0     0     0     0      0.123     -0.066      1.696      1.702      0.000
   850       211   pi+                 91   684     0     0     0     0     0      0.475     -0.525    -31.255     31.264      0.140
   851      -211   pi-                 91   684     0     0     0     0     0      0.889     -0.539    -65.776     65.785      0.140
   852        22   gamma               91   688     0     0     0     0     0      0.412     -0.119     -1.682      1.736      0.000
   853        22   gamma               91   688     0     0     0     0     0      0.748     -0.070     -3.421      3.502      0.000
   854        22   gamma               91   690     0     0     0     0     0      0.150     -0.169      0.108      0.251      0.000
   855        22   gamma               91   690     0     0     0     0     0      0.132     -0.009      0.091      0.160      0.000
   856        22   gamma               91   692     0     0     0     0     0     -0.048      0.118     -0.056      0.139      0.000
   857        22   gamma               91   692     0     0     0     0     0      0.073      0.095      0.004      0.119      0.000
   858        22   gamma               91   694     0     0     0     0     0      0.003     -0.011     -0.008      0.014      0.000
   859        22   gamma               91   694     0     0     0     0     0     -0.040      0.010      0.405      0.407      0.000
   860        22   gamma               91   696     0     0     0     0     0      0.214     -0.555    531.893    531.893      0.000
   861        22   gamma               91   696     0     0     0     0     0      0.068     -0.058    109.362    109.362      0.000
   862        22   gamma               91   699     0     0     0     0     0      0.025      0.090      0.118      0.151      0.000
   863        22   gamma               91   699     0     0     0     0     0      0.109      0.016      0.035      0.116      0.000
   864       211   pi+                 91   704     0     0     0     0     0     -0.035     -0.010     -0.190      0.239      0.140
   865      -211   pi-                 91   704     0     0     0     0     0     -0.042     -0.475     -1.977      2.038      0.140
   866        22   gamma               91   706     0     0     0     0     0     -0.818     -0.485     -5.714      5.793      0.000
   867        22   gamma               91   706     0     0     0     0     0     -0.068     -0.090     -0.789      0.797      0.000
   868       211   pi+                 91   710     0     0     0     0     0     -0.265     -0.379    -40.990     40.993      0.140
   869      -211   pi-                 91   710     0     0     0     0     0     -0.437     -0.452    -27.061     27.069      0.140
   870       211   pi+                 91   711     0     0     0     0     0     -0.015     -0.002     -8.589      8.590      0.140
   871      -211   pi-                 91   711     0     0     0     0     0     -0.031     -0.158     -1.889      1.901      0.140
   872        22   gamma               91   720     0     0     0     0     0     -0.118      0.150      0.110      0.221      0.000
   873        22   gamma               91   720     0     0     0     0     0     -0.221      0.063      0.186      0.296      0.000
   874        22   gamma               91   727     0     0     0     0     0      0.021      0.039     -1.825      1.826      0.000
   875        22   gamma               91   727     0     0     0     0     0     -0.076      0.074    -18.435     18.436      0.000
   876        22   gamma               91   732     0     0     0     0     0      3.141      1.589     -1.026      3.667      0.000
   877        22   gamma               91   732     0     0     0     0     0      1.610      0.715     -0.478      1.826      0.000
   878        22   gamma               91   733     0     0     0     0     0      0.812      0.356     -0.094      0.891      0.000
   879        22   gamma               91   733     0     0     0     0     0      0.309      0.078      0.028      0.320      0.000
   880        22   gamma               91   735     0     0     0     0     0      0.823      0.258      0.006      0.863      0.000
   881        22   gamma               91   735     0     0     0     0     0      0.332      0.178     -0.052      0.381      0.000
   882     -2112   nbar0               91   736     0     0     0     0     0      7.089      2.928     -0.743      7.763      0.940
   883       111   (pi0)              -91   736     0   938   939     0     0      1.216      0.497     -0.006      1.320      0.135
   884      -321   K-                  91   737     0     0     0     0     0      7.537      3.518     -0.789      8.369      0.494
   885       111   (pi0)              -91   737     0   940   941     0     0      0.696      0.206     -0.198      0.764      0.135
   886       221   (eta)              -91   738     0   942   943     0     0      6.575      2.008     -0.693      6.931      0.548
   887       111   (pi0)              -91   738     0   944   945     0     0      7.322      4.090     -1.305      8.488      0.135
   888      -433   (D*_s-)            -91   739     0   946   947     0     0     -6.653      4.520     -9.546     12.660      2.112
   889       413   (D*+)              -91   739     0   948   949     0     0    -21.682     15.307    -25.652     36.966      2.010
   890        22   gamma               91   747     0     0     0     0     0      0.080     -0.107      0.462      0.480      0.000
   891        22   gamma               91   747     0     0     0     0     0      0.066     -0.318      0.676      0.750      0.000
   892        22   gamma               91   752     0     0     0     0     0      0.230      0.013      0.299      0.377      0.000
   893        22   gamma               91   752     0     0     0     0     0      0.164      0.053      0.454      0.485      0.000
   894        22   gamma               91   753     0     0     0     0     0      0.012      0.006      0.108      0.109      0.000
   895        22   gamma               91   753     0     0     0     0     0      0.620      0.142      1.261      1.412      0.000
   896       211   pi+                 91   754     0     0     0     0     0      0.095      0.006      0.647      0.668      0.140
   897      -211   pi-                 91   754     0     0     0     0     0      0.270      0.146      0.730      0.804      0.140
   898       111   (pi0)              -91   754     0   950   951     0     0      0.282     -0.089      0.712      0.783      0.135
   899        22   gamma               91   761     0     0     0     0     0     -0.057     -0.499      0.199      0.540      0.000
   900        22   gamma               91   761     0     0     0     0     0     -0.059     -0.088      0.085      0.136      0.000
   901        22   gamma               91   762     0     0     0     0     0     -0.141     -0.820      0.342      0.899      0.000
   902        22   gamma               91   762     0     0     0     0     0     -0.671     -3.310      1.665      3.765      0.000
   903        22   gamma               91   763     0     0     0     0     0     -0.119     -0.587      0.221      0.638      0.000
   904        22   gamma               91   763     0     0     0     0     0     -0.133     -0.615      0.386      0.738      0.000
   905        22   gamma               91   766     0     0     0     0     0      0.203      0.012     -0.467      0.509      0.000
   906        22   gamma               91   766     0     0     0     0     0      0.110      0.010     -0.083      0.138      0.000
   907        22   gamma               91   767     0     0     0     0     0      0.410     -0.082     -0.972      1.058      0.000
   908        22   gamma               91   767     0     0     0     0     0      0.352      0.053     -0.777      0.854      0.000
   909        22   gamma               91   768     0     0     0     0     0      0.024      0.043     -0.337      0.340      0.000
   910        22   gamma               91   768     0     0     0     0     0      0.173      0.032     -0.377      0.416      0.000
   911        22   gamma               91   771     0     0     0     0     0      0.141     -0.088     -0.298      0.341      0.000
   912        22   gamma               91   771     0     0     0     0     0      0.005     -0.082     -0.308      0.319      0.000
   913        22   gamma               91   776     0     0     0     0     0      0.137      0.045     -0.032      0.147      0.000
   914        22   gamma               91   776     0     0     0     0     0     -0.019     -0.021      0.017      0.034      0.000
   915        22   gamma               91   791     0     0     0     0     0      0.013     -0.049     -0.044      0.067      0.000
   916        22   gamma               91   791     0     0     0     0     0     -0.002      0.089     -0.113      0.144      0.000
   917        22   gamma               91   794     0     0     0     0     0     -0.007      0.004     -0.409      0.409      0.000
   918        22   gamma               91   794     0     0     0     0     0      0.033      0.132     -0.397      0.419      0.000
   919        22   gamma               91   797     0     0     0     0     0      0.121      0.047     -0.098      0.163      0.000
   920        22   gamma               91   797     0     0     0     0     0      0.043      0.074     -0.239      0.254      0.000
   921        22   gamma               91   802     0     0     0     0     0      0.031     -0.096    204.138    204.138      0.000
   922        22   gamma               91   802     0     0     0     0     0     -0.112     -0.127    255.171    255.171      0.000
   923        22   gamma               91   803     0     0     0     0     0      0.064     -0.003     68.206     68.207      0.000
   924        22   gamma               91   803     0     0     0     0     0     -0.032     -0.051    223.703    223.703      0.000
   925        22   gamma               91   804     0     0     0     0     0     -0.033     -0.030     64.649     64.649      0.000
   926        22   gamma               91   804     0     0     0     0     0      0.010      0.116    213.407    213.407      0.000
   927        22   gamma               91   807     0     0     0     0     0      0.204      0.152      3.563      3.572      0.000
   928        22   gamma               91   807     0     0     0     0     0      0.044      0.119      2.907      2.909      0.000
   929       111   (pi0)              -91   812     0   952   953     0     0      0.067     -0.007      0.384      0.413      0.135
   930       111   (pi0)              -91   812     0   954   955     0     0      0.070     -0.000      0.509      0.531      0.135
   931       111   (pi0)              -91   812     0   956   957     0     0     -0.000      0.157      1.800      1.812      0.135
   932        22   gamma               91   815     0     0     0     0     0     -0.113     -0.118      0.086      0.184      0.000
   933        22   gamma               91   815     0     0     0     0     0     -0.027     -0.009     -0.043      0.052      0.000
   934        22   gamma               91   834     0     0     0     0     0      1.683     -0.729      2.623      3.201      0.000
   935        22   gamma               91   834     0     0     0     0     0      0.120     -0.020      0.144      0.189      0.000
   936        22   gamma               91   835     0     0     0     0     0      0.038     -0.038      0.086      0.102      0.000
   937        22   gamma               91   835     0     0     0     0     0      0.983     -0.397      1.013      1.466      0.000
   938        22   gamma               91   883     0     0     0     0     0      1.143      0.442      0.020      1.226      0.000
   939        22   gamma               91   883     0     0     0     0     0      0.073      0.055     -0.026      0.094      0.000
   940        22   gamma               91   885     0     0     0     0     0      0.370      0.179     -0.102      0.423      0.000
   941        22   gamma               91   885     0     0     0     0     0      0.326      0.027     -0.095      0.341      0.000
   942        22   gamma               91   886     0     0     0     0     0      4.239      1.559     -0.517      4.546      0.000
   943        22   gamma               91   886     0     0     0     0     0      2.336      0.449     -0.175      2.385      0.000
   944        22   gamma               91   887     0     0     0     0     0      6.572      3.628     -1.185      7.600      0.000
   945        22   gamma               91   887     0     0     0     0     0      0.749      0.462     -0.120      0.888      0.000
   946      -431   (D_s-)             -91   888     0   958   960     0     0     -6.163      4.206     -8.651     11.593      1.968
   947        22   gamma               91   888     0     0     0     0     0     -0.490      0.313     -0.895      1.068      0.000
   948       421   (D0)               -91   889     0   961   966     0     0    -19.979     14.069    -23.588     34.014      1.865
   949       211   pi+                 91   889     0     0     0     0     0     -1.703      1.238     -2.064      2.951      0.140
   950        22   gamma               91   898     0     0     0     0     0      0.209     -0.007      0.537      0.576      0.000
   951        22   gamma               91   898     0     0     0     0     0      0.073     -0.081      0.175      0.207      0.000
   952        22   gamma               91   929     0     0     0     0     0      0.065     -0.038      0.092      0.119      0.000
   953        22   gamma               91   929     0     0     0     0     0      0.002      0.031      0.292      0.294      0.000
   954        22   gamma               91   930     0     0     0     0     0      0.056     -0.032      0.484      0.488      0.000
   955        22   gamma               91   930     0     0     0     0     0      0.014      0.032      0.025      0.043      0.000
   956        22   gamma               91   931     0     0     0     0     0     -0.046      0.039      1.013      1.014      0.000
   957        22   gamma               91   931     0     0     0     0     0      0.046      0.118      0.788      0.798      0.000
   958        13   mu-                 91   946     0     0     0     0     0     -2.436      2.161     -4.073      5.216      0.106
   959       -14   nu_mubar            91   946     0     0     0     0     0     -0.241      0.341     -0.653      0.775      0.000
   960       331   (eta')             -91   946     0   967   968     0     0     -3.486      1.704     -3.925      5.602      0.958
   961       311   (K0)               -91   948     0   969   969     0     0     -3.361      2.476     -4.228      5.962      0.498
   962       211   pi+                 91   948     0     0     0     0     0     -2.961      1.886     -3.586      5.021      0.140
   963      -211   pi-                 91   948     0     0     0     0     0     -2.777      1.923     -3.084      4.576      0.140
   964       111   (pi0)              -91   948     0   970   971     0     0     -6.491      4.773     -7.886     11.275      0.135
   965       111   (pi0)              -91   948     0   972   973     0     0     -2.371      1.746     -2.789      4.058      0.135
   966       111   (pi0)              -91   948     0   974   975     0     0     -2.018      1.265     -2.015      3.123      0.135
   967       113   (rho0)             -91   960     0   976   977     0     0     -3.006      1.322     -3.527      4.870      0.706
   968        22   gamma               91   960     0     0     0     0     0     -0.480      0.382     -0.398      0.731      0.000
   969       130   K_L0                91   961   961     0     0     0     0     -3.361      2.476     -4.228      5.962      0.498
   970        22   gamma               91   964     0     0     0     0     0     -5.145      3.835     -6.232      8.945      0.000
   971        22   gamma               91   964     0     0     0     0     0     -1.345      0.938     -1.655      2.330      0.000
   972        22   gamma               91   965     0     0     0     0     0     -1.173      0.836     -1.452      2.045      0.000
   973        22   gamma               91   965     0     0     0     0     0     -1.199      0.910     -1.337      2.013      0.000
   974        22   gamma               91   966     0     0     0     0     0     -0.555      0.338     -0.473      0.804      0.000
   975        22   gamma               91   966     0     0     0     0     0     -1.463      0.927     -1.542      2.319      0.000
   976       211   pi+                 91   967     0     0     0     0     0     -1.612      0.933     -2.337      2.992      0.140
   977      -211   pi-                 91   967     0     0     0     0     0     -1.394      0.389     -1.190      1.879      0.140
                                   Charge sum:  2.000           Momentum sum:      0.000     -0.000     -0.000   8000.000   8000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  
 PYTHIA Error in SpaceShower::pT2nearQCDthreshold: stuck in loop  

 *-------  PYTHIA Event and Cross Section Statistics  --------------------------------------------------------*
 |                                                                                                            |
 | Subprocess                               Code |            Number of events       |      sigma +- delta    |
 |                                               |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                               |                                   |                        |
 |------------------------------------------------------------------------------------------------------------|
 |                                               |                                   |                        |
 | First hard process:                           |                                   |                        |
 |                                               |                                   |                        |
 | g g -> t tbar                             601 |        8010        611        555 |   3.375e-13  1.423e-14 |
 | q qbar -> t tbar                          602 |        2055        189        150 |   8.782e-14  5.506e-15 |
 | q q -> t q (t-channel W+-)                603 |        7576        329        268 |   1.577e-13  8.161e-15 |
 | f fbar -> t tbar (s-channel gamma*/Z0)    604 |          16          2          2 |   7.600e-16  3.020e-16 |
 | f fbar -> t qbar (s-channel W+-)          605 |         328         28         25 |   1.111e-14  1.494e-15 |
 |                                               |                                   |                        |
 | sum                                           |       17985       1159       1000 |   5.949e-13  2.347e-14 |
 |                                               |                                   |                        |
 |------------------------------------------------------------------------------------------------------------|
 |                                               |                                   |                        |
 | Second hard process:                          |                                   |                        |
 |                                               |                                   |                        |
 | q g -> q gamma (udscb)                    201 |        4402       1074        926 |   5.498e-13  2.198e-14 |
 | q qbar -> g gamma                         202 |         290         84         73 |   4.366e-14  3.322e-15 |
 | g g -> g gamma                            203 |           1          1          1 |   1.053e-15  1.054e-15 |
 |                                               |                                   |                        |
 | sum                                           |        4693       1159       1000 |   5.945e-13  2.355e-14 |
 |                                               |                                   |                        |
 |------------------------------------------------------------------------------------------------------------|
 |                                                                                                            |
 | Uncombined cross sections for the two event sets were  2.131e-07 and 9.731e-05 mb, respectively, combined  |
 | using a sigma(nonDiffractive) of  5.212e+01 mb and an impact-parameter enhancement factor of  1.732e+00.   |
 |                                                                                                            |
 *-------  End PYTHIA Event and Cross Section Statistics -----------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      2   Error in SpaceShower::pT2nearQCDthreshold: stuck in loop                                               | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      1   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      7   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |      1   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 

 From pythia.info: sigma = 5.947e-13 +- 2.876e-14


  2013-09-20 16:03       pT first collision

        4.50*10^ 1          3                                                                                           
        4.35*10^ 1          X                                                                                           
        4.20*10^ 1          X                                                                                           
        4.05*10^ 1          X                                                                                           
        3.90*10^ 1          X3    3                                                                                     
        3.75*10^ 1          XX    X                                                                                     
        3.60*10^ 1          XX    X                                                                                     
        3.45*10^ 1          XX    X                                                                                     
        3.30*10^ 1          XX    X3 XX  3                                                                              
        3.15*10^ 1          XX    XX XX  X                                                                              
        3.00*10^ 1         3XX X  XX XX 3X3 X                                                                           
        2.85*10^ 1         XXX X7 XX XX XXX X                                                                           
        2.70*10^ 1         XXX XXXXX XX XXX X  3  X                                                                     
        2.55*10^ 1         XXX XXXXX XX XXX X7 X  X                                                                     
        2.40*10^ 1         XXXXXXXXX XX XXX XX X  X                                                                     
        2.25*10^ 1       7 XXXXXXXXX7XX7XXX XX X  X                                                                     
        2.10*10^ 1       XXXXXXXXXXXXXXXXXX XXXX3XX3        X                                                           
        1.95*10^ 1       XXXXXXXXXXXXXXXXXX7XXXXXXXX        X                                                           
        1.80*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXX       X                                                           
        1.65*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXX       X                                                           
        1.50*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXX   3  3X                                                           
        1.35*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXX77 X  XX                                                           
        1.20*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX3XX     X                                                     
        1.05*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX    7X                                                     
        0.90*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX   3XX                                                     
        0.75*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX7  XXX 7  7                                                
        0.60*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3 XXX3X  X  3    3                                        
        0.45*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX  X  X7   X 7                                      
        0.30*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3X3XXXX X3            X X                   
        0.15*10^ 1       XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX  777777  7 X X7       7 7        

          Contents                                                                                                      
            *10^ 1  0000022243232233233223213222222211101111200001100000000000000000000000000000000000000000000000000000
            *10^ 0  0000021948408782233292990516017083364214175380257337335423253430320011111100103031000000010100000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =        1000    Mean =  9.9278e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  9.9200e+02    Rms  =  5.9909e+01    Overflow  =  8.0000e+00    High edge =  4.0000e+02


  2013-09-20 16:03       pT second collision

        2.50*10^ 2            6                                                                                         
        2.40*10^ 2            X                                                                                         
        2.30*10^ 2            X                                                                                         
        2.20*10^ 2            X                                                                                         
        2.10*10^ 2            X                                                                                         
        2.00*10^ 2            XX                                                                                        
        1.90*10^ 2            XX                                                                                        
        1.80*10^ 2            XX                                                                                        
        1.70*10^ 2            XX                                                                                        
        1.60*10^ 2            XX                                                                                        
        1.50*10^ 2            XX                                                                                        
        1.40*10^ 2            XX2                                                                                       
        1.30*10^ 2            XXX                                                                                       
        1.20*10^ 2            XXX                                                                                       
        1.10*10^ 2            XXX                                                                                       
        1.00*10^ 2            XXX4                                                                                      
        0.90*10^ 2            XXXX                                                                                      
        0.80*10^ 2            XXXX                                                                                      
        0.70*10^ 2            XXXX8                                                                                     
        0.60*10^ 2            XXXXX7                                                                                    
        0.50*10^ 2            XXXXXX                                                                                    
        0.40*10^ 2            XXXXXX9                                                                                   
        0.30*10^ 2            XXXXXXX XX                                                                                
        0.20*10^ 2            XXXXXXX8XX22                                                                              
        0.10*10^ 2            XXXXXXXXXXXX8693423416112  332 1      1   1  1                                            

          Contents                                                                                                      
            *10^ 2  0000000000221000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000403965313311000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000602487980022869342341611200332010000001000100100000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 1  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^ 0  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =        1000    Mean =  2.8232e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+03    Rms  =  1.0305e+01    Overflow  =  0.0000e+00    High edge =  2.0000e+02


  2013-09-20 16:03       pT first-second collision

        4.35*10^ 1                                       7                                                              
        4.20*10^ 1                                       X                                                              
        4.05*10^ 1                                       X                                                              
        3.90*10^ 1                              X    3   X                                                              
        3.75*10^ 1                              X    X   X                                                              
        3.60*10^ 1                             XX X 3X   X                                                              
        3.45*10^ 1                             XX X XX   X                                                              
        3.30*10^ 1                             XX X XX   X                                                              
        3.15*10^ 1                             XX X XX   X      7                                                       
        3.00*10^ 1                             XX X XX   XX     X                                                       
        2.85*10^ 1                             XX X XX  7XX     X                                                       
        2.70*10^ 1                            XXX X XX  XXX     X                                                       
        2.55*10^ 1                            XXX7X XX  XXX     X 7  7                                                  
        2.40*10^ 1                            XXXXX XXXXXXX3X  3X X XX                                                  
        2.25*10^ 1                            XXXXX XXXXXXXXX7 XX X XX                                                  
        2.10*10^ 1                           3XXXXX XXXXXXXXXXXXX X XX 3                                                
        1.95*10^ 1                           XXXXXX7XXXXXXXXXXXXX X XX X                                                
        1.80*10^ 1                          3XXXXXXXXXXXXXXXXXXXXXX XXXX     3                                          
        1.65*10^ 1                          XXXXXXXXXXXXXXXXXXXXXXX7XXXX     X                                          
        1.50*10^ 1                          XXXXXXXXXXXXXXXXXXXXXXXXXXXX3    X                                          
        1.35*10^ 1                         7XXXXXXXXXXXXXXXXXXXXXXXXXXXXX    X  7                                       
        1.20*10^ 1                         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX  X                                       
        1.05*10^ 1                         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7 7XX  X    7                                  
        0.90*10^ 1                        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   3X3                                 
        0.75*10^ 1                        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7  XXX 7 7                             
        0.60*10^ 1                        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3 XXX3X X  3     3X                   
        0.45*10^ 1                      7 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XXXXX X  X     XX                   
        0.30*10^ 1                  3XX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX XX 3 3      33       
        0.15*10^ 1        7     7 7 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX7XX X7X  7 77XX 7777  

          Contents                                                                                                      
            *10^ 1  0000000000000000000000011223323133222432222231212212110111001000010000000000000000000000000000000000
            *10^ 0  0000001000001010233243937076956958448303421318564580409027993754808573733503331560212001011220111100
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -------------------------                                                                           
            *10^ 2  1000000000000000000000000000000000000000000000000011111111111111111111111112222222222222222222222222
            *10^ 1  0998887766655444332221100000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  0628406284062840628406284048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =        1000    Mean =  7.0024e+01    Underflow =  0.0000e+00    Low edge  = -1.0000e+02
   All chan =  9.8800e+02    Rms  =  5.8907e+01    Overflow  =  1.2000e+01    High edge =  3.0000e+02


  2013-09-20 16:03       number of multiparton interactions

        1.00*10^ 2         33                                                                                           
        0.96*10^ 2         XX                                                                                           
        0.92*10^ 2         XX                                                                                           
        0.88*10^ 2    8X  XXX                                                                                           
        0.84*10^ 2    XXX XXX                                                                                           
        0.80*10^ 2    XXX XXX5                                                                                          
        0.76*10^ 2    XXX5XXXX8                                                                                         
        0.72*10^ 2    XXXXXXXXX3                                                                                        
        0.68*10^ 2    XXXXXXXXXX                                                                                        
        0.64*10^ 2    XXXXXXXXXX                                                                                        
        0.60*10^ 2    XXXXXXXXXX                                                                                        
        0.56*10^ 2    XXXXXXXXXX                                                                                        
        0.52*10^ 2    XXXXXXXXXX                                                                                        
        0.48*10^ 2    XXXXXXXXXX                                                                                        
        0.44*10^ 2    XXXXXXXXXX3                                                                                       
        0.40*10^ 2    XXXXXXXXXXXX                                                                                      
        0.36*10^ 2    XXXXXXXXXXXX                                                                                      
        0.32*10^ 2    XXXXXXXXXXXX5                                                                                     
        0.28*10^ 2    XXXXXXXXXXXXX                                                                                     
        0.24*10^ 2    XXXXXXXXXXXXX7                                                                                    
        0.20*10^ 2    XXXXXXXXXXXXXX                                                                                    
        0.16*10^ 2    XXXXXXXXXXXXXX                                                                                    
        0.12*10^ 2    XXXXXXXXXXXXXX 7                                                                                  
        0.08*10^ 2    XXXXXXXXXXXXXXXX                                                                                  
        0.04*10^ 2    XXXXXXXXXXXXXXXX8X35                                                                              

          Contents                                                                                                      
            *10^ 1  0088878997764432010000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0078448778591003813412000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =        1000    Mean =  7.6220e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  3.8960e+00    Overflow  =  0.0000e+00    High edge =  9.9500e+01


  2013-09-20 16:03       b enhancement factor

        3.75*10^ 1                   7                                                                                  
        3.60*10^ 1      XX           X         X                                                                        
        3.45*10^ 1      XX    7      X         X                                                                        
        3.30*10^ 1  X   XX    X3     X3     3  XX X  X                                                                  
        3.15*10^ 1  X   XX    XX     XX     X  XX7X 7X                                                                  
        3.00*10^ 1  X3  XX3   XX 3   XX   X XX XXXX XX                                                                  
        2.85*10^ 1  XX 7XXX   XX X   XX   X XX XXXX XX                                                                  
        2.70*10^ 1  XX XXXXXX XX X  XXXX3 X XX3XXXX XX                                                                  
        2.55*10^ 1  XX XXXXXX XX7X  XXXXX X XXXXXXX XX                                                                  
        2.40*10^ 1  XX XXXXXX3XXXX XXXXXX XXXXXXXXXXXX                                                                  
        2.25*10^ 1  XX7XXXXXXXXXXX XXXXXX7XXXXXXXXXXXX                                                                  
        2.10*10^ 1  XXXXXXXXXXXXXX3XXXXXXXXXXXXXXXXXXX                                                                  
        1.95*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                  
        1.80*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                  
        1.65*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                  
        1.50*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                  
        1.35*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                  
        1.20*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        1.05*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.90*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.75*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.60*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.45*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.30*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 
        0.15*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                                 

          Contents                                                                                                      
            *10^ 1  3222332222332222233222323323333233100000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  3928669773425904772762042066313413200000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        1000    Mean =  1.7332e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+03    Rms  =  1.0094e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:03       charged multiplicity

        6.50*10^ 1                      6      6                                                                        
        6.25*10^ 1                      X      X                                                                        
        6.00*10^ 1                      X      X                                                                        
        5.75*10^ 1                      X    4 X                                                                        
        5.50*10^ 1                      X 2  X6X                                                                        
        5.25*10^ 1                     4X X 8XXX                                                                        
        5.00*10^ 1                    2XXXX XXXX                                                                        
        4.75*10^ 1                   4XXXXX XXXX                                                                        
        4.50*10^ 1                   XXXXXX XXXX 2                                                                      
        4.25*10^ 1                  8XXXXXX XXXX X                                                                      
        4.00*10^ 1                  XXXXXXX6XXXX2X                                                                      
        3.75*10^ 1                  XXXXXXXXXXXXXX                                                                      
        3.50*10^ 1               6  XXXXXXXXXXXXXX                                                                      
        3.25*10^ 1               X 8XXXXXXXXXXXXXX                                                                      
        3.00*10^ 1               XXXXXXXXXXXXXXXXX                                                                      
        2.75*10^ 1               XXXXXXXXXXXXXXXXX 8                                                                    
        2.50*10^ 1               XXXXXXXXXXXXXXXXX X                                                                    
        2.25*10^ 1               XXXXXXXXXXXXXXXXX8X                                                                    
        2.00*10^ 1              6XXXXXXXXXXXXXXXXXXX62                                                                  
        1.75*10^ 1             4XXXXXXXXXXXXXXXXXXXXXX                                                                  
        1.50*10^ 1             XXXXXXXXXXXXXXXXXXXXXXX6                                                                 
        1.25*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXX88                                                               
        1.00*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXX6 2                                                            
        0.75*10^ 1            4XXXXXXXXXXXXXXXXXXXXXXXXXXX X                                                            
        0.50*10^ 1          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6X    2                                                       
        0.25*10^ 1          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8  4X 4 4                                                   

          Contents                                                                                                      
            *10^ 1  0000000000011333444565535556342211111000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000055669402268140392644832798422948200130101000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^ 0  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        1000    Mean =  2.3285e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  6.7954e+01    Overflow  =  0.0000e+00    High edge =  9.9950e+02
pythia8-8.1.86.orig/examples/outref/out100000644000175000017500000023466012357054711016374 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:03:26    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with pbar- at a CM energy of 1.960e+03 GeV         |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   9.243e-04 |
 | g g -> q qbar (uds)                            112 |   1.929e-05 |
 | q g -> q g                                     113 |   2.225e-03 |
 | q q(bar)' -> q q(bar)'                         114 |   5.402e-04 |
 | q qbar -> g g                                  115 |   1.133e-05 |
 | q qbar -> q' qbar' (uds)                       116 |   5.152e-06 |
 | g g -> c cbar                                  121 |   6.400e-06 |
 | q qbar -> c cbar                               122 |   1.716e-06 |
 | g g -> b bbar                                  123 |   6.288e-06 |
 | q qbar -> b bbar                               124 |   1.700e-06 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   40.89 mb               | 
 |                                                                  | 
 |    pT0 =  2.12 gives sigmaInteraction =  136.64 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 1960.000 |    14000.000    10.00000             | 
 | Beams:idB                                     |                    -2212 |         2212                         | 
 | HadronLevel:all                               |                      off |           on                         | 
 | HardQCD:all                                   |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                 50.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------

#--------------------------------------------------------------------------
#                     FastJet release 3.0.5 [fjcore]
#                 M. Cacciari, G.P. Salam and G. Soyez                  
#     A software package for jet finding and analysis at colliders      
#                           http://fastjet.fr                           
#	                                                                      
# Please cite EPJC72(2012)1896 [arXiv:1111.6097] if you use this package
# for scientific work and optionally PLB641(2006)57 [hep-ph/0512210].   
#                                                                       
# FastJet is provided without warranty under the terms of the GNU GPLv2.
# It uses T. Chan's closest pair algorithm, S. Fortune's Voronoi code
# and 3rd party plugin jet algorithms. See COPYING file for details.
#--------------------------------------------------------------------------

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  9.800e+02, e =  9.800e+02, m =  9.383e-01.
 Beam B: id =  -2212, pz = -9.800e+02, e =  9.800e+02, m =  9.383e-01.

 In 1: id =   21, x =  1.674e-02, pdf =  5.616e+00 at Q2 =  3.757e+03.
 In 2: id =   -2, x =  3.431e-01, pdf =  3.057e-01 at same Q2.

 Subprocess q g -> q g with code 113 is 2 -> 2.
 It has sHat =  2.207e+04,    tHat = -4.802e+03,    uHat = -1.727e+04,
       pTHat =  6.130e+01,   m3Hat =  0.000e+00,   m4Hat =  3.300e-01,
    thetaHat =  9.706e-01,  phiHat =  4.191e+00.
     alphaEM =  7.782e-03,  alphaS =  1.445e-01    at Q2 =  3.757e+03.

 Impact parameter b =  1.308e+00 gives enhancement factor =  2.650e-01.
 Max pT scale for MPI =  6.130e+01, ISR =  6.130e+01, FSR =  6.130e+01.
 Number of MPI =     1, ISR =     4, FSRproc =    62, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0     4     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3        21   (g)                -21     1     0     5     6   103   102      0.000      0.000     16.408     16.408      0.000
     4        -2   (ubar)             -21     2     0     5     6     0   101      0.000      0.000   -336.270    336.270      0.000
     5        21   g                   23     3     4     0     0   103   101    -30.528    -53.153    -60.333     86.008      0.000
     6        -2   ubar                23     3     4     0     0     0   102     30.528     53.153   -259.529    266.670      0.330
                                   Charge sum: -0.667           Momentum sum:      0.000      0.000   -319.862    352.678    148.558

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0   241     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0   242     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3        21   (g)                -21     7     0     5     6   103   102      0.000      0.000     16.408     16.408      0.000
     4        -2   (ubar)             -21     8     8     5     6     0   101      0.000      0.000   -336.270    336.270      0.000
     5        21   (g)                -23     3     4     9     9   103   101    -30.528    -53.153    -60.333     86.008      0.000
     6        -2   (ubar)             -23     3     4    10    10     0   102     30.528     53.153   -259.529    266.670      0.330
     7        21   (g)                -41    12    12    11     3   104   102      0.000      0.000     22.579     22.579      0.000
     8        -2   (ubar)             -42    13     0     4     4     0   101     -0.000     -0.000   -336.270    336.270      0.000
     9        21   (g)                -44     5     5    14    14   103   101    -29.310    -34.602    -17.943     48.768      0.000
    10        -2   (ubar)             -44     6     6    15    15     0   102     30.867     58.313   -249.609    258.182      0.330
    11        21   (g)                -43     7     0    16    16   104   103     -1.557    -23.711    -46.139     51.899      0.000
    12        21   (g)                -42    18    18     7     7   104   102      0.000      0.000     22.579     22.579      0.000
    13        -2   (ubar)             -41    19     0    17     8     0   105     -0.000     -0.000   -430.461    430.461      0.000
    14        21   (g)                -44     9     9    20    20   103   101    -29.954    -36.608    -22.180     52.243      0.000
    15        -2   (ubar)             -44    10    10    21    21     0   102     25.968     43.042   -281.014    285.475      0.330
    16        21   (g)                -44    11    11    22    22   104   103     -2.502    -26.659    -51.407     57.963      0.000
    17        21   (g)                -43    13     0    23    23   101   105      6.488     20.225    -53.282     57.359      0.000
    18        21   (g)                -42    27    27    12    12   104   102      0.000      0.000     22.579     22.579      0.000
    19        -2   (ubar)             -41    92    92    24    13     0   106     -0.000     -0.000   -480.936    480.936      0.000
    20        21   (g)                -44    14    14    33    33   103   101    -30.703    -36.851    -23.125     53.249      0.000
    21        -2   (ubar)             -44    15    15    28    29     0   102     20.266     41.189   -288.855    292.480      0.330
    22        21   (g)                -44    16    16    25    26   104   103     -3.603    -27.017    -52.809     59.428      0.000
    23        21   (g)                -44    17    17    31    32   101   105      5.375     19.863    -54.906     58.635      0.000
    24        21   (g)                -43    19     0    55    56   105   106      8.666      2.817    -38.664     39.723      0.000
    25        21   (g)                -51    22     0    40    41   107   103     -7.547    -19.526    -24.227     32.018      0.000
    26        21   (g)                -51    22     0    34    35   104   107      3.943     -7.492    -27.356     28.636      0.000
    27        21   (g)                -53    30    30    18    18   104   102      0.000      0.000     23.805     23.805      0.000
    28        -2   (ubar)             -51    21     0    45    45     0   108     18.309     29.690   -243.432    245.919      0.330
    29        21   (g)                -51    21     0    43    44   108   102      1.957     11.499    -45.253     46.732      0.000
    30        21   (g)                -53    36    36    27    27   104   102      0.000      0.000     23.975     23.975      0.000
    31        21   (g)                -51    23     0    37    38   109   105      3.158     20.600    -53.959     57.844      0.000
    32        21   (g)                -51    23     0    39    39   101   109      0.780     -2.461     -2.029      3.283      0.000
    33        21   (g)                -52    20    20    42    42   103   101    -29.266    -35.127    -22.042     50.757      0.000
    34        21   (g)                -51    26     0    88    89   110   107     -0.760     -1.504    -15.214     15.307      0.000
    35        21   (g)                -51    26     0    52    53   104   110      4.703     -5.987    -11.598     13.874      0.000
    36        21   (g)                -53    54    54    30    30   104   102      0.000     -0.000     24.519     24.519      0.000
    37        21   (g)                -51    31     0    51    51   111   105      2.439     20.435    -53.368     57.199      0.000
    38        21   (g)                -51    31     0    49    50   109   111      0.963     -0.605     -1.225      1.672      0.000
    39        21   (g)                -52    32    32    66    66   101   109      0.536     -1.691     -1.394      2.257      0.000
    40        21   (g)                -51    25     0    95    95   107   112     -1.508     -7.380     -3.830      8.450      0.000
    41        21   (g)                -51    25     0    46    47   112   103    -10.593    -17.612    -23.827     31.466      0.000
    42        21   (g)                -52    33    33    48    48   103   101    -24.712    -29.660    -18.612     42.858      0.000
    43        21   (g)                -51    29     0    58    59   113   102      2.953     13.810    -82.923     84.117      0.000
    44        21   (g)                -51    29     0    72    72   108   113      3.014      4.188    -15.639     16.468      0.000
    45        -2   (ubar)             -52    28    28    70    71     0   108     14.299     23.190   -190.123    192.065      0.330
    46         2   (u)                -51    41     0   103   103   112     0    -10.873    -12.652    -11.653     20.352      0.330
    47        -2   (ubar)             -51    41     0   105   105     0   103     -5.298    -11.655    -16.375     20.789      0.330
    48        21   (g)                -52    42    42    64    65   103   101    -19.133    -22.965    -14.411     33.183      0.000
    49        21   (g)                -51    38     0    76    77   109   114      0.738     10.497    -24.599     26.756      0.000
    50        21   (g)                -51    38     0    79    80   114   111      1.490     -0.500     -4.314      4.591      0.000
    51        21   (g)                -52    37    37    57    57   111   105      1.173      9.833    -25.680     27.523      0.000
    52        21   (g)                -51    35     0    63    63   115   110     -1.509     -0.637      0.392      1.684      0.000
    53        21   (g)                -51    35     0    61    62   104   115      6.212     -5.351    -10.700     13.480      0.000
    54        21   (g)                -53    60    60    36    36   104   102      0.000     -0.000     25.809     25.809      0.000
    55        21   (g)                -51    24     0    73    74   116   106      6.960      2.237    -37.296     38.006      0.000
    56        21   (g)                -51    24     0    75    75   105   116      1.993      2.981     -7.640      8.440      0.000
    57        21   (g)                -52    51    51    81    81   111   105      0.887      7.431    -19.408     20.801      0.000
    58        21   (g)                -51    43     0    99    99   113   117      2.086      2.778    -10.838     11.381      0.000
    59        21   (g)                -51    43     0   109   109   117   102      0.867     11.032    -71.988     72.834      0.000
    60        21   (g)                -53    91     0    54    54   104   102      0.000     -0.000     25.907     25.907      0.000
    61        21   (g)                -51    53     0   107   107   104   118      2.420     -4.034     -6.860      8.318      0.000
    62        21   (g)                -51    53     0   110   110   118   115      3.581     -1.406     -3.785      5.397      0.000
    63        21   (g)                -52    52    52    90    90   115   110     -1.298     -0.548      0.337      1.449      0.000
    64        21   (g)                -51    48     0    93    93   103   119    -13.187    -17.767    -10.209     24.368      0.000
    65        21   (g)                -51    48     0    69    69   119   101     -5.872     -5.430     -4.394      9.125      0.000
    66        21   (g)                -52    39    39    67    68   101   109      0.462     -1.459     -1.203      1.947      0.000
    67        21   (g)                -51    66     0    78    78   120   109     -0.783     -2.435     -0.354      2.582      0.000
    68        21   (g)                -51    66     0   112   112   101   120     -1.441     -1.507     -2.858      3.538      0.000
    69        21   (g)                -52    65    65   111   111   119   101     -3.186     -2.946     -2.384      4.951      0.000
    70        -2   (ubar)             -51    45     0    94    94     0   121     13.876     21.543   -172.408    174.302      0.330
    71        21   (g)                -51    45     0   113   113   121   108      0.667      1.986    -18.981     19.097      0.000
    72        21   (g)                -52    44    44   104   104   108   113      2.770      3.849    -14.372     15.135      0.000
    73        21   (g)                -51    55     0    97    97   122   106      3.196      0.212    -18.559     18.834      0.000
    74        21   (g)                -51    55     0   114   114   116   122      4.107      2.538    -20.052     20.625      0.000
    75        21   (g)                -52    56    56   108   108   105   116      1.650      2.468     -6.325      6.987      0.000
    76        21   (g)                -51    49     0   102   102   123   114     -0.089      8.562    -21.857     23.475      0.000
    77        21   (g)                -51    49     0    85    86   109   123      0.792      1.823     -2.758      3.400      0.000
    78        21   (g)                -52    67    67    87    87   120   109     -0.747     -2.323     -0.338      2.464      0.000
    79        21   (g)                -51    50     0   106   106   114   124     -0.028      0.890     -0.911      1.274      0.000
    80        21   (g)                -51    50     0    84    84   124   111      1.698      0.107     -7.314      7.509      0.000
    81        21   (g)                -52    57    57    82    83   111   105      0.708      5.934    -15.496     16.608      0.000
    82        21   (g)                -51    81     0    96    96   125   105     -0.391      3.114     -8.786      9.330      0.000
    83        21   (g)                -51    81     0   117   117   111   125      1.399      2.838     -8.003      8.606      0.000
    84        21   (g)                -52    80    80   116   116   124   111      1.397      0.088     -6.022      6.182      0.000
    85        21   (g)                -51    77     0   115   115   126   123      1.285      1.397     -1.790      2.609      0.000
    86        21   (g)                -51    77     0   118   118   109   126     -0.617      0.044     -1.024      1.196      0.000
    87        21   (g)                -52    78    78   100   100   120   109     -0.624     -1.941     -0.282      2.058      0.000
    88        21   (g)                -51    34     0    98    98   127   107     -0.379     -0.753    -13.427     13.454      0.000
    89        21   (g)                -51    34     0   119   119   110   127     -0.508     -0.805     -1.753      1.995      0.000
    90        21   (g)                -52    63    63   101   101   115   110     -1.171     -0.494      0.304      1.307      0.000
    91        21   (g)                -41   162   162   120    60   104   128      0.000     -0.000     28.161     28.161      0.000
    92        -2   (ubar)             -42   156   156    19    19     0   106     -0.000      0.000   -480.936    480.936      0.000
    93        21   (g)                -44    64    64   172   173   103   119    -13.027    -17.926    -10.256     24.418      0.000
    94        -2   (ubar)             -44    70    70   240   240     0   121     13.897     21.522   -172.294    174.189      0.330
    95        21   (g)                -44    40    40   127   128   107   112     -1.456     -7.432     -3.895      8.516      0.000
    96        21   (g)                -44    82    82   190   191   125   105     -0.385      3.108     -8.745      9.289      0.000
    97        21   (g)                -44    73    73   154   155   122   106      3.199      0.209    -18.590     18.865      0.000
    98        21   (g)                -44    88    88   129   129   127   107     -0.379     -0.753    -13.429     13.456      0.000
    99        21   (g)                -44    58    58   159   159   113   117      2.093      2.772    -10.828     11.372      0.000
   100        21   (g)                -44    87    87   237   237   120   109     -0.604     -1.961     -0.297      2.073      0.000
   101        21   (g)                -44    90    90   187   188   115   110     -1.153     -0.512      0.312      1.299      0.000
   102        21   (g)                -44    76    76   136   137   123   114     -0.071      8.544    -21.757     23.374      0.000
   103         2   (u)                -44    46    46   253   253   112     0    -10.774    -12.750    -11.669     20.370      0.330
   104        21   (g)                -44    72    72   163   164   108   113      2.778      3.841    -14.358     15.120      0.000
   105        -2   (ubar)             -44    47    47   174   174     0   103     -5.249    -11.705    -16.443     20.857      0.330
   106        21   (g)                -44    79    79   138   138   114   124     -0.024      0.886     -0.901      1.264      0.000
   107        21   (g)                -44    61    61   150   150   104   118      2.437     -4.050     -6.932      8.390      0.000
   108        21   (g)                -44    75    75   126   126   105   116      1.657      2.461     -6.315      6.977      0.000
   109        21   (g)                -44    59    59   123   123   117   102      0.876     11.023    -71.862     72.708      0.000
   110        21   (g)                -44    62    62   148   149   118   115      3.599     -1.424     -3.840      5.453      0.000
   111        21   (g)                -44    69    69   168   168   119   101     -3.157     -2.975     -2.380      4.948      0.000
   112        21   (g)                -44    68    68   166   167   101   120     -1.433     -1.515     -2.858      3.538      0.000
   113        21   (g)                -44    71    71   165   165   121   108      0.669      1.985    -18.963     19.079      0.000
   114        21   (g)                -44    74    74   124   125   116   122      4.113      2.532    -20.066     20.639      0.000
   115        21   (g)                -44    85    85   139   140   126   123      1.295      1.387     -1.788      2.607      0.000
   116        21   (g)                -44    84    84   178   179   124   111      1.399      0.087     -6.035      6.196      0.000
   117        21   (g)                -44    83    83   217   218   111   125      1.406      2.831     -7.985      8.588      0.000
   118        21   (g)                -44    86    86   204   204   109   126     -0.615      0.042     -1.016      1.189      0.000
   119        21   (g)                -44    89    89   147   147   110   127     -0.506     -0.808     -1.756      1.998      0.000
   120        21   (g)                -43    91     0   121   122   102   128     -0.586      0.580      2.174      2.325      0.000
   121        21   (g)                -51   120     0   133   134   129   128     -0.673     -0.109      2.059      2.169      0.000
   122        21   (g)                -51   120     0   135   135   102   129      0.104      0.907     -1.307      1.594      0.000
   123        21   (g)                -52   109   109   144   144   117   102      0.859     10.805    -70.440     71.269      0.000
   124        21   (g)                -51   114     0   264   264   130   122      0.863     -0.041     -3.071      3.190      0.000
   125        21   (g)                -51   114     0   208   209   116   130      3.725      3.279    -18.808     19.451      0.000
   126        21   (g)                -52   108   108   192   192   105   116      1.182      1.755     -4.503      4.975      0.000
   127        21   (g)                -51    95     0   177   177   131   112     -1.302     -6.697     -4.431      8.135      0.000
   128        21   (g)                -51    95     0   132   132   107   131     -0.166     -0.757      0.132      0.786      0.000
   129        21   (g)                -52    98    98   130   131   127   107     -0.367     -0.731    -13.024     13.050      0.000
   130        21   (g)                -51   129     0   145   146   127   132     -0.494     -0.985    -12.969     13.016      0.000
   131        21   (g)                -51   129     0   153   153   132   107      0.099      0.128     -0.033      0.165      0.000
   132        21   (g)                -52   128   128   175   176   107   131     -0.138     -0.631      0.110      0.655      0.000
   133        21   (g)                -51   121     0   222   222   133   128     -0.192     -0.299      1.872      1.906      0.000
   134        21   (g)                -51   121     0   220   221   129   133     -0.459      0.386     -0.095      0.607      0.000
   135        21   (g)                -52   122   122   142   143   102   129      0.082      0.712     -1.025      1.250      0.000
   136        21   (g)                -51   102     0   141   141   123   134     -0.669      4.345    -11.539     12.348      0.000
   137        21   (g)                -51   102     0   276   276   134   114      0.588      4.551    -10.574     11.527      0.000
   138        21   (g)                -52   106   106   180   180   114   124     -0.015      0.535     -0.544      0.763      0.000
   139        21   (g)                -51   115     0   202   203   126   135      1.559      1.745     -3.139      3.915      0.000
   140        21   (g)                -51   115     0   277   277   135   123     -0.392      0.474     -0.858      1.056      0.000
   141        21   (g)                -52   136   136   252   252   123   134     -0.541      3.513     -9.331      9.985      0.000
   142        21   (g)                -51   135     0   271   271   136   129     -0.145      0.032     -0.035      0.153      0.000
   143        21   (g)                -51   135     0   278   278   102   136      0.354      2.278    -11.413     11.643      0.000
   144        21   (g)                -52   123   123   157   158   117   102      0.732      9.206    -60.017     60.724      0.000
   145        21   (g)                -51   130     0   151   152   137   132     -0.234     -1.375    -12.108     12.188      0.000
   146        21   (g)                -51   130     0   279   279   127   137     -0.474      0.047     -1.606      1.675      0.000
   147        21   (g)                -52   119   119   226   227   110   127     -0.291     -0.465     -1.011      1.151      0.000
   148        21   (g)                -51   110     0   189   189   139   115      1.449     -0.124     -1.423      2.034      0.000
   149        21   (g)                -51   110     0   280   280   118   139      2.560     -1.981     -3.583      4.829      0.000
   150        21   (g)                -52   107   107   160   161   104   118      2.027     -3.369     -5.766      6.979      0.000
   151        21   (g)                -51   145     0   201   201   137   140     -0.555     -0.527     -7.906      7.943      0.000
   152        21   (g)                -51   145     0   199   200   140   132      0.356     -0.802     -4.213      4.304      0.000
   153        21   (g)                -52   131   131   231   231   132   107      0.063      0.082     -0.021      0.106      0.000
   154        21   (g)                -51    97     0   198   198   122   142      3.193      0.090    -18.484     18.758      0.000
   155        21   (g)                -51    97     0   196   197   142   106      0.006      0.119    -16.298     16.298      0.000
   156        -2   (ubar)             -53   242   242    92    92     0   106     -0.000     -0.000   -497.128    497.128      0.000
   157        21   (g)                -51   144     0   259   259   143   102      0.460      8.179    -50.161     50.826      0.000
   158        21   (g)                -51   144     0   186   186   117   143      0.403      1.200    -10.534     10.610      0.000
   159        21   (g)                -52    99    99   184   185   113   117      1.962      2.598    -10.150     10.660      0.000
   160        21   (g)                -51   150     0   171   171   144   118      1.948     -2.733     -5.645      6.567      0.000
   161        21   (g)                -51   150     0   169   170   104   144      0.079     -0.636      0.118      0.652      0.000
   162        21   (g)                -53   241   241    91    91   104   128     -0.000      0.000     28.400     28.400      0.000
   163        21   (g)                -51   104     0   195   195   145   113      1.645      3.145    -11.655     12.183      0.000
   164        21   (g)                -51   104     0   193   194   108   145      1.190      0.865     -4.321      4.565      0.000
   165        21   (g)                -52   113   113   238   239   121   108      0.612      1.816    -17.345     17.451      0.000
   166        21   (g)                -51   112     0   225   225   146   120     -0.434     -0.409     -0.114      0.608      0.000
   167        21   (g)                -51   112     0   223   224   101   146     -2.201     -2.238     -3.650      4.814      0.000
   168        21   (g)                -52   111   111   214   215   119   101     -1.955     -1.842     -1.474      3.064      0.000
   169        21   (g)                -51   161     0   284   284   104   147     -0.096      0.066      0.136      0.179      0.000
   170        21   (g)                -51   161     0   287   287   147   144      0.568     -1.252     -1.156      1.796      0.000
   171        21   (g)                -52   160   160   257   257   144   118      1.555     -2.182     -4.507      5.243      0.000
   172        21   (g)                -51    93     0   183   183   148   119    -11.272    -14.826     -8.347     20.409      0.000
   173        21   (g)                -51    93     0   181   182   103   148     -1.859     -3.331     -2.234      4.420      0.000
   174        -2   (ubar)             -52   105   105   255   255     0   103     -5.145    -11.474    -16.118     20.446      0.330
   175        21   (g)                -51   132     0   273   273   107   150     -0.653     -2.687     -1.008      2.943      0.000
   176        21   (g)                -51   132     0   289   289   150   131      0.092     -0.120     -0.322      0.355      0.000
   177        21   (g)                -52   127   127   245   245   131   112     -0.879     -4.521     -2.991      5.492      0.000
   178        21   (g)                -51   116     0   266   266   151   111      0.146     -0.062     -0.065      0.171      0.000
   179        21   (g)                -51   116     0   290   290   124   151      1.248      0.343     -6.168      6.302      0.000
   180        21   (g)                -52   138   138   256   256   114   124     -0.009      0.341     -0.346      0.486      0.000
   181        21   (g)                -51   173     0   288   288   103   152     -2.730     -4.184     -3.012      5.833      0.000
   182        21   (g)                -51   173     0   291   291   152   148     -3.575     -4.995     -2.514      6.637      0.000
   183        21   (g)                -52   172   172   216   216   148   119     -6.826     -8.978     -5.055     12.359      0.000
   184        21   (g)                -51   159     0   232   233   113   154      0.681      1.607     -7.040      7.253      0.000
   185        21   (g)                -51   159     0   234   234   154   117      1.363      1.240     -5.288      5.600      0.000
   186        21   (g)                -52   158   158   283   283   117   143      0.320      0.952     -8.356      8.416      0.000
   187        21   (g)                -51   101     0   228   228   155   110     -0.731     -0.074      0.501      0.889      0.000
   188        21   (g)                -51   101     0   207   207   115   155     -0.269     -0.451     -0.340      0.626      0.000
   189        21   (g)                -52   148   148   205   206   139   115      1.295     -0.111     -1.272      1.819      0.000
   190         2   (u)                -51    96     0   219   219   125     0     -0.392      1.965     -5.751      6.099      0.330
   191        -2   (ubar)             -51    96     0   294   294     0   105      0.329      1.622     -4.223      4.547      0.330
   192        21   (g)                -52   126   126   210   210   105   116      0.860      1.276     -3.275      3.618      0.000
   193        21   (g)                -51   164     0   285   285   108   156      0.518      1.303     -5.131      5.319      0.000
   194        21   (g)                -51   164     0   295   295   156   145      1.830      1.775     -7.391      7.818      0.000
   195        21   (g)                -52   163   163   254   254   145   113      0.488      0.932     -3.454      3.611      0.000
   196        21   (g)                -51   155     0   211   212   157   106      0.226     -0.327    -12.535     12.541      0.000
   197        21   (g)                -51   155     0   213   213   142   157      0.074      0.454     -5.465      5.485      0.000
   198        21   (g)                -52   154   154   247   247   122   142      2.899      0.082    -16.782     17.030      0.000
   199        21   (g)                -51   152     0   229   230   158   132     -0.163     -1.060     -8.475      8.542      0.000
   200        21   (g)                -51   152     0   297   297   140   158      0.191     -0.054     -0.419      0.464      0.000
   201        21   (g)                -52   151   151   248   248   137   140     -0.226     -0.215     -3.226      3.241      0.000
   202        21   (g)                -51   139     0   265   265   159   135      1.505      1.715     -2.816      3.624      0.000
   203        21   (g)                -51   139     0   298   298   126   159     -0.094      0.040     -0.568      0.577      0.000
   204        21   (g)                -52   118   118   235   236   109   126     -0.467      0.032     -0.772      0.903      0.000
   205        21   (g)                -51   189     0   260   260   139   160      1.318     -0.374     -1.293      1.883      0.000
   206        21   (g)                -51   189     0   299   299   160   115     -0.134      0.076     -0.121      0.196      0.000
   207        21   (g)                -52   188   188   293   293   115   155     -0.157     -0.264     -0.199      0.366      0.000
   208        21   (g)                -51   125     0   272   272   162   130      2.024      1.288     -8.510      8.842      0.000
   209        21   (g)                -51   125     0   300   300   116   162      1.918      2.313    -11.123     11.522      0.000
   210        21   (g)                -52   192   192   258   258   105   116      0.643      0.954     -2.449      2.706      0.000
   211        21   (g)                -51   196     0   282   282   163   106     -0.201     -0.236     -5.150      5.159      0.000
   212        21   (g)                -51   196     0   301   301   157   163      0.491      0.300    -12.091     12.104      0.000
   213        21   (g)                -52   197   197   296   296   142   157      0.010      0.063     -0.759      0.762      0.000
   214        21   (g)                -51   168     0   261   261   164   101     -4.569     -5.849     -3.175      8.073      0.000
   215        21   (g)                -51   168     0   302   302   119   164     -2.016     -2.083     -1.728      3.375      0.000
   216        21   (g)                -52   183   183   243   243   148   119     -2.196     -2.888     -1.626      3.976      0.000
   217        21   (g)                -51   117     0   267   267   111   166     -0.004      1.174     -2.718      2.961      0.000
   218        21   (g)                -51   117     0   303   303   166   125      1.253      2.173     -6.785      7.234      0.000
   219         2   (u)                -52   190   190   246   246   125     0     -0.234      1.449     -4.233      4.493      0.330
   220        21   (g)                -51   134     0   275   275   129   167     -0.638      0.199     -0.022      0.669      0.000
   221        21   (g)                -51   134     0   304   304   167   133      0.119      0.094      0.510      0.532      0.000
   222        21   (g)                -52   133   133   270   270   133   128     -0.132     -0.206      1.289      1.312      0.000
   223         2   (u)                -51   167     0   286   286   101     0     -1.085     -1.387     -1.668      2.448      0.330
   224        -2   (ubar)             -51   167     0   305   305     0   146     -1.350     -1.072     -2.044      2.694      0.330
   225        21   (g)                -52   166   166   262   262   146   120     -0.200     -0.189     -0.053      0.280      0.000
   226        21   (g)                -51   147     0   269   269   168   127     -0.718     -0.330     -0.683      1.044      0.000
   227        21   (g)                -51   147     0   306   306   110   168      0.233     -0.155     -0.196      0.342      0.000
   228        21   (g)                -52   187   187   251   251   155   110     -0.537     -0.054      0.368      0.654      0.000
   229        21   (g)                -51   199     0   281   281   158   169      0.068     -0.822     -3.599      3.692      0.000
   230        21   (g)                -51   199     0   307   307   169   132     -0.205     -0.205     -4.884      4.893      0.000
   231        21   (g)                -52   153   153   274   274   132   107      0.038      0.049     -0.013      0.063      0.000
   232        21   (g)                -51   184     0   249   249   113   170      0.792      0.611     -2.788      2.962      0.000
   233        21   (g)                -51   184     0   308   308   170   154      0.878      1.895     -8.087      8.352      0.000
   234        21   (g)                -52   185   185   292   292   154   117      0.375      0.341     -1.454      1.539      0.000
   235        21   (g)                -51   204     0   268   268   171   126     -0.665     -0.550     -0.890      1.240      0.000
   236        21   (g)                -51   204     0   309   309   109   171      0.057      0.125      0.049      0.146      0.000
   237        21   (g)                -52   100   100   250   250   120   109     -0.463     -1.504     -0.228      1.590      0.000
   238        21   (g)                -51   165     0   263   263   173   108      1.950      3.684    -32.283     32.551      0.000
   239        21   (g)                -51   165     0   310   310   121   173     -0.077      0.083     -0.677      0.686      0.000
   240        -2   (ubar)             -52    94    94   244   244     0   121     12.635     19.570   -156.680    158.403      0.330
   241        21   (g)                -61     1     0   162   162   104   128     -0.793      2.991     28.319     28.487      0.000
   242        -2   (ubar)             -61     2     0   156   156     0   106      0.078      0.104   -497.088    497.088      0.000
   243        21   g                   62   216   216     0     0   148   119     -2.228     -2.764     -1.508      3.857      0.000
   244        -2   ubar                62   240   240     0     0     0   121     12.636     19.694   -157.521    159.250      0.330
   245        21   g                   62   177   177     0     0   131   112     -0.913     -4.389     -2.769      5.269      0.000
   246         2   u                   62   219   219     0     0   125     0     -0.237      1.464     -4.313      4.573      0.330
   247        21   g                   62   198   198     0     0   122   142      2.898      0.098    -16.744     16.993      0.000
   248        21   g                   62   201   201     0     0   137   140     -0.226     -0.214     -3.218      3.233      0.000
   249        21   g                   62   232   232     0     0   113   170      0.790      0.621     -2.809      2.983      0.000
   250        21   g                   62   237   237     0     0   120   109     -0.482     -1.432     -0.157      1.519      0.000
   251        21   g                   62   228   228     0     0   155   110     -0.551     -0.000      0.362      0.660      0.000
   252        21   g                   62   141   141     0     0   123   134     -0.548      3.549     -9.523     10.178      0.000
   253         2   u                   62   103   103     0     0   112     0    -10.893    -12.288    -11.162     19.859      0.330
   254        21   g                   62   195   195     0     0   145   113      0.486      0.941     -3.496      3.653      0.000
   255        -2   ubar                62   174   174     0     0     0   103     -5.203    -11.242    -15.592     19.917      0.330
   256        21   g                   62   180   180     0     0   114   124     -0.011      0.348     -0.364      0.504      0.000
   257        21   g                   62   171   171     0     0   144   118      1.546     -2.142     -4.371      5.107      0.000
   258        21   g                   62   210   210     0     0   105   116      0.640      0.968     -2.490      2.748      0.000
   259        21   g                   62   157   157     0     0   143   102      0.458      8.225    -50.582     51.248      0.000
   260        21   g                   62   205   205     0     0   139   160      1.310     -0.342     -1.255      1.846      0.000
   261        21   g                   62   214   214     0     0   164   101     -4.637     -5.590     -2.938      7.835      0.000
   262        21   g                   62   225   225     0     0   146   120     -0.203     -0.177     -0.046      0.273      0.000
   263        21   g                   62   238   238     0     0   173   108      1.952      3.705    -32.447     32.716      0.000
   264        21   g                   62   124   124     0     0   130   122      0.862     -0.034     -3.056      3.176      0.000
   265        21   g                   62   202   202     0     0   159   135      1.494      1.758     -2.886      3.695      0.000
   266        21   g                   62   178   178     0     0   151   111      0.144     -0.056     -0.060      0.166      0.000
   267        21   g                   62   217   217     0     0   111   166     -0.007      1.187     -2.780      3.023      0.000
   268        21   g                   62   235   235     0     0   171   126     -0.669     -0.532     -0.871      1.220      0.000
   269        21   g                   62   226   226     0     0   168   127     -0.723     -0.311     -0.676      1.037      0.000
   270        21   g                   62   222   222     0     0   133   128     -0.168     -0.069      1.294      1.307      0.000
   271        21   g                   62   142   142     0     0   136   129     -0.147      0.038     -0.039      0.157      0.000
   272        21   g                   62   208   208     0     0   162   130      2.021      1.308     -8.549      8.882      0.000
   273        21   g                   62   175   175     0     0   107   150     -0.680     -2.584     -0.879      2.813      0.000
   274        21   g                   62   231   231     0     0   132   107      0.037      0.052     -0.015      0.065      0.000
   275        21   g                   62   220   220     0     0   129   167     -0.647      0.233     -0.042      0.689      0.000
   276        21   g                   62   137   137     0     0   134   114      0.576      4.603    -10.805     11.759      0.000
   277        21   g                   62   140   140     0     0   135   123     -0.395      0.485     -0.888      1.086      0.000
   278        21   g                   62   143   143     0     0   102   136      0.353      2.293    -11.527     11.758      0.000
   279        21   g                   62   146   146     0     0   127   137     -0.475      0.051     -1.615      1.685      0.000
   280        21   g                   62   149   149     0     0   118   139      2.544     -1.915     -3.444      4.690      0.000
   281        21   g                   62   229   229     0     0   158   169      0.067     -0.816     -3.555      3.648      0.000
   282        21   g                   62   211   211     0     0   163   106     -0.200     -0.234     -5.140      5.149      0.000
   283        21   g                   62   186   186     0     0   117   143      0.320      0.957     -8.401      8.461      0.000
   284        21   g                   62   169   169     0     0   104   147     -0.100      0.082      0.131      0.184      0.000
   285        21   g                   62   193   193     0     0   108   156      0.516      1.314     -5.192      5.381      0.000
   286         2   u                   62   223   223     0     0   101     0     -1.096     -1.346     -1.611      2.391      0.330
   287        21   g                   62   170   170     0     0   147   144      0.559     -1.218     -1.083      1.723      0.000
   288        21   g                   62   181   181     0     0   103   152     -2.768     -4.034     -2.834      5.654      0.000
   289        21   g                   62   176   176     0     0   150   131      0.091     -0.119     -0.314      0.348      0.000
   290        21   g                   62   179   179     0     0   124   151      1.247      0.351     -6.168      6.302      0.000
   291        21   g                   62   182   182     0     0   152   148     -3.632     -4.777     -2.307      6.429      0.000
   292        21   g                   62   234   234     0     0   154   117      0.374      0.346     -1.466      1.552      0.000
   293        21   g                   62   207   207     0     0   115   155     -0.159     -0.255     -0.187      0.354      0.000
   294        -2   ubar                62   191   191     0     0     0   105      0.326      1.640     -4.303      4.628      0.330
   295        21   g                   62   194   194     0     0   156   145      1.825      1.799     -7.459      7.887      0.000
   296        21   g                   62   213   213     0     0   142   157      0.010      0.063     -0.762      0.765      0.000
   297        21   g                   62   200   200     0     0   140   158      0.191     -0.051     -0.413      0.458      0.000
   298        21   g                   62   203   203     0     0   126   159     -0.094      0.041     -0.571      0.581      0.000
   299        21   g                   62   206   206     0     0   160   115     -0.135      0.080     -0.127      0.202      0.000
   300        21   g                   62   209   209     0     0   116   162      1.914      2.336    -11.217     11.617      0.000
   301        21   g                   62   212   212     0     0   157   163      0.493      0.303    -12.098     12.112      0.000
   302        21   g                   62   215   215     0     0   119   164     -2.039     -1.996     -1.649      3.295      0.000
   303        21   g                   62   218   218     0     0   166   125      1.248      2.199     -6.882      7.332      0.000
   304        21   g                   62   221   221     0     0   167   133      0.105      0.148      0.505      0.537      0.000
   305        -2   ubar                62   224   224     0     0     0   146     -1.359     -1.037     -2.008      2.657      0.330
   306        21   g                   62   227   227     0     0   110   168      0.231     -0.147     -0.185      0.331      0.000
   307        21   g                   62   230   230     0     0   169   132     -0.205     -0.203     -4.876      4.885      0.000
   308        21   g                   62   233   233     0     0   170   154      0.876      1.910     -8.174      8.440      0.000
   309        21   g                   62   236   236     0     0   109   171      0.054      0.136      0.043      0.152      0.000
   310        21   g                   62   239   239     0     0   121   173     -0.077      0.083     -0.682      0.692      0.000
   311      2103   ud_1                63     1     0     0     0     0   104      0.621     -1.268    946.334    946.335      0.771
   312         2   u                   63     1     0     0     0   128     0      0.172     -1.723      5.114      5.410      0.330
   313     -2103   ud_1bar             63     2     0     0     0   106     0     -0.078     -0.104   -482.679    482.680      0.771
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000     -0.000   1960.000   1960.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Warning in MultipartonInteractions::pTnext: weight above unity  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |        5595        896        283 |   4.646e-05  2.408e-06 |
 | g g -> q qbar (uds)                            112 |         123         33          9 |   1.116e-06  3.368e-07 |
 | q g -> q g                                     113 |       13603       1616        517 |   8.763e-05  3.365e-06 |
 | q q(bar)' -> q q(bar)'                         114 |        3284        458        182 |   2.991e-05  1.875e-06 |
 | q qbar -> g g                                  115 |          79         16          6 |   8.121e-07  2.877e-07 |
 | q qbar -> q' qbar' (uds)                       116 |          30          7          0 |   0.000e+00  0.000e+00 |
 | g g -> c cbar                                  121 |          36          9          0 |   0.000e+00  0.000e+00 |
 | q qbar -> c cbar                               122 |          11          3          1 |   1.955e-07  1.955e-07 |
 | g g -> b bbar                                  123 |          33          4          2 |   6.435e-07  3.491e-07 |
 | q qbar -> b bbar                               124 |          12          5          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |       22806       3047       1000 |   1.668e-04  4.582e-06 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Warning in MultipartonInteractions::pTnext: weight above unity                                         | 
 |      5   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:03       trial pT spectrum

        4.05*10^ 3               2                                                                                      
        3.90*10^ 3               X                                                                                      
        3.75*10^ 3               X                                                                                      
        3.60*10^ 3               X                                                                                      
        3.45*10^ 3              7X                                                                                      
        3.30*10^ 3              XX                                                                                      
        3.15*10^ 3              XX                                                                                      
        3.00*10^ 3              XX                                                                                      
        2.85*10^ 3              XX                                                                                      
        2.70*10^ 3              XX8                                                                                     
        2.55*10^ 3              XXX                                                                                     
        2.40*10^ 3              XXX                                                                                     
        2.25*10^ 3              XXX                                                                                     
        2.10*10^ 3              XXX                                                                                     
        1.95*10^ 3              XXX7                                                                                    
        1.80*10^ 3              XXXX                                                                                    
        1.65*10^ 3              XXXX                                                                                    
        1.50*10^ 3              XXXX5                                                                                   
        1.35*10^ 3              XXXXX                                                                                   
        1.20*10^ 3              XXXXX2                                                                                  
        1.05*10^ 3              XXXXXX                                                                                  
        0.90*10^ 3              XXXXXX7                                                                                 
        0.75*10^ 3              XXXXXXXX2                                                                               
        0.60*10^ 3              XXXXXXXXX5                                                                              
        0.45*10^ 3              XXXXXXXXXX852                                                                           
        0.30*10^ 3              XXXXXXXXXXXXXX622  1                                                                    
        0.15*10^ 3              XXXXXXXXXXXXXXXXXXXX9977666655444334333333232222322222121111122 111111111111111111111111

          Contents                                                                                                      
            *10^ 3  0000000000003321110000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000004968408765433221111111110000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000369286522173948845633109988766554465543442332333232232212111230121121111100111111112111
            *10^ 0  0000000000003678670288351302360111145647192749701148567856469718761691771417619618059988476733350503

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =       22806    Mean =  8.2664e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.2186e+04    Rms  =  5.4652e+01    Overflow  =  6.2000e+02    High edge =  4.0000e+02


  2013-09-20 16:03       selected pT spectrum (before veto)

        7.50*10^ 2               X                                                                                      
        7.20*10^ 2               X                                                                                      
        6.90*10^ 2               X                                                                                      
        6.60*10^ 2               X                                                                                      
        6.30*10^ 2               X                                                                                      
        6.00*10^ 2              6X                                                                                      
        5.70*10^ 2              XX                                                                                      
        5.40*10^ 2              XX9                                                                                     
        5.10*10^ 2              XXX                                                                                     
        4.80*10^ 2              XXX                                                                                     
        4.50*10^ 2              XXX                                                                                     
        4.20*10^ 2              XXX                                                                                     
        3.90*10^ 2              XXX                                                                                     
        3.60*10^ 2              XXX                                                                                     
        3.30*10^ 2              XXX6                                                                                    
        3.00*10^ 2              XXXX                                                                                    
        2.70*10^ 2              XXXX                                                                                    
        2.40*10^ 2              XXXX6                                                                                   
        2.10*10^ 2              XXXXX                                                                                   
        1.80*10^ 2              XXXXX2                                                                                  
        1.50*10^ 2              XXXXXX                                                                                  
        1.20*10^ 2              XXXXXXX                                                                                 
        0.90*10^ 2              XXXXXXX84                                                                               
        0.60*10^ 2              XXXXXXXXX52                                                                             
        0.30*10^ 2              XXXXXXXXXXX97732111111111 1                                                             

          Contents                                                                                                      
            *10^ 2  0000000000005753211000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000008531252874322200000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000009178870525770186422332422020000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =        3047    Mean =  6.1396e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.0470e+03    Rms  =  1.3077e+01    Overflow  =  0.0000e+00    High edge =  4.0000e+02


  2013-09-20 16:03       accepted pT spectrum (after veto)

        2.70*10^ 2               1                                                                                      
        2.60*10^ 2               X                                                                                      
        2.50*10^ 2               X                                                                                      
        2.40*10^ 2               X                                                                                      
        2.30*10^ 2               X                                                                                      
        2.20*10^ 2               X                                                                                      
        2.10*10^ 2               X                                                                                      
        2.00*10^ 2              6X                                                                                      
        1.90*10^ 2              XX6                                                                                     
        1.80*10^ 2              XXX                                                                                     
        1.70*10^ 2              XXX                                                                                     
        1.60*10^ 2              XXX                                                                                     
        1.50*10^ 2              XXX                                                                                     
        1.40*10^ 2              XXX                                                                                     
        1.30*10^ 2              XXX                                                                                     
        1.20*10^ 2              XXX                                                                                     
        1.10*10^ 2              XXX7                                                                                    
        1.00*10^ 2              XXXX                                                                                    
        0.90*10^ 2              XXXX                                                                                    
        0.80*10^ 2              XXXX4                                                                                   
        0.70*10^ 2              XXXXX                                                                                   
        0.60*10^ 2              XXXXX                                                                                   
        0.50*10^ 2              XXXXX                                                                                   
        0.40*10^ 2              XXXXXX4                                                                                 
        0.30*10^ 2              XXXXXXX92                                                                               
        0.20*10^ 2              XXXXXXXXX51                                                                             
        0.10*10^ 2              XXXXXXXXXXX74312 1112 2 1                                                               

          Contents                                                                                                      
            *10^ 2  0000000000001211000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000009680743221100000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000006167404925174312011120201000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =        1000    Mean =  6.0592e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+03    Rms  =  1.2265e+01    Overflow  =  0.0000e+00    High edge =  4.0000e+02


  2013-09-20 16:03       number of partons before veto

        6.00*10^ 2       9              
        5.80*10^ 2       X              
        5.60*10^ 2      8X              
        5.40*10^ 2      XX              
        5.20*10^ 2      XX1             
        5.00*10^ 2      XXX             
        4.80*10^ 2      XXX             
        4.60*10^ 2      XXX             
        4.40*10^ 2      XXX             
        4.20*10^ 2      XXX             
        4.00*10^ 2      XXX             
        3.80*10^ 2      XXX8            
        3.60*10^ 2     9XXXX            
        3.40*10^ 2     XXXXX            
        3.20*10^ 2     XXXXX            
        3.00*10^ 2     XXXXX            
        2.80*10^ 2     XXXXX            
        2.60*10^ 2     XXXXX            
        2.40*10^ 2     XXXXX9           
        2.20*10^ 2     XXXXXX           
        2.00*10^ 2     XXXXXX           
        1.80*10^ 2     XXXXXX           
        1.60*10^ 2    8XXXXXX           
        1.40*10^ 2    XXXXXXX8          
        1.20*10^ 2    XXXXXXXX          
        1.00*10^ 2    XXXXXXXX          
        0.80*10^ 2    XXXXXXXX5         
        0.60*10^ 2    XXXXXXXXX         
        0.40*10^ 2    XXXXXXXXX7        
        0.20*10^ 2    XXXXXXXXXX63111   

          Contents                      
            *10^ 2  00135553210000000000
            *10^ 1  00555907336310000000
            *10^ 0  00686735879427131000
            *10^-1  00000000000000000000

          Low edge  -                   
            *10^ 1  00000000000111111111
            *10^ 0  00123456789012345678
            *10^-1  55555555555555555555

   Entries  =        3047    Mean =  5.4969e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.0470e+03    Rms  =  2.1021e+00    Overflow  =  0.0000e+00    High edge =  1.9500e+01


  2013-09-20 16:03       number of jets before veto

        1.00*10^ 3     X                
        0.96*10^ 3     X                
        0.92*10^ 3     X                
        0.88*10^ 3     X                
        0.84*10^ 3    XX                
        0.80*10^ 3    XX                
        0.76*10^ 3    XX2               
        0.72*10^ 3    XXX               
        0.68*10^ 3    XXX               
        0.64*10^ 3    XXX               
        0.60*10^ 3    XXX               
        0.56*10^ 3    XXX               
        0.52*10^ 3    XXX               
        0.48*10^ 3    XXX               
        0.44*10^ 3    XXX               
        0.40*10^ 3    XXX               
        0.36*10^ 3    XXX               
        0.32*10^ 3    XXX2              
        0.28*10^ 3    XXXX              
        0.24*10^ 3    XXXX              
        0.20*10^ 3    XXXX              
        0.16*10^ 3    XXXX2             
        0.12*10^ 3    XXXXX             
        0.08*10^ 3    XXXXX1            
        0.04*10^ 3    XXXXXX31          

          Contents                      
            *10^ 3  00010000000000000000
            *10^ 2  00807210000000000000
            *10^ 1  00402824100000000000
            *10^ 0  00008995321000000000

          Low edge  -                   
            *10^ 1  00000000000111111111
            *10^ 0  00123456789012345678
            *10^-1  55555555555555555555

   Entries  =        3047    Mean =  3.3666e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.0470e+03    Rms  =  1.2342e+00    Overflow  =  0.0000e+00    High edge =  1.9500e+01


  2013-09-20 16:03       number of partons after veto

        2.60*10^ 2      55              
        2.50*10^ 2      XX              
        2.40*10^ 2      XX              
        2.30*10^ 2      XX              
        2.20*10^ 2      XX              
        2.10*10^ 2      XX              
        2.00*10^ 2      XX              
        1.90*10^ 2      XX6             
        1.80*10^ 2      XXX             
        1.70*10^ 2      XXX             
        1.60*10^ 2      XXX             
        1.50*10^ 2      XXX             
        1.40*10^ 2      XXX             
        1.30*10^ 2      XXX             
        1.20*10^ 2     9XXX7            
        1.10*10^ 2     XXXXX            
        1.00*10^ 2     XXXXX            
        0.90*10^ 2     XXXXX            
        0.80*10^ 2     XXXXX            
        0.70*10^ 2     XXXXX            
        0.60*10^ 2     XXXXX            
        0.50*10^ 2     XXXXX7           
        0.40*10^ 2     XXXXXX           
        0.30*10^ 2     XXXXXX           
        0.20*10^ 2     XXXXXX4          
        0.10*10^ 2    1XXXXXXX5 1       

          Contents                      
            *10^ 2  00012211000000000000
            *10^ 1  00015581410000000000
            *10^ 0  00195567745010000000
            *10^-1  00000000000000000000

          Low edge  -                   
            *10^ 1  00000000000111111111
            *10^ 0  00123456789012345678
            *10^-1  55555555555555555555

   Entries  =        1000    Mean =  5.1530e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  1.4804e+00    Overflow  =  0.0000e+00    High edge =  1.9500e+01


  2013-09-20 16:03       number of FSR emissions at first ISR emission

        2.08*10^ 3  7                   
        2.00*10^ 3  X                   
        1.92*10^ 3  X                   
        1.84*10^ 3  X                   
        1.76*10^ 3  X                   
        1.68*10^ 3  X                   
        1.60*10^ 3  X                   
        1.52*10^ 3  X                   
        1.44*10^ 3  X                   
        1.36*10^ 3  X                   
        1.28*10^ 3  X                   
        1.20*10^ 3  X                   
        1.12*10^ 3  X                   
        1.04*10^ 3  X                   
        0.96*10^ 3  X                   
        0.88*10^ 3  X                   
        0.80*10^ 3  X                   
        0.72*10^ 3  X                   
        0.64*10^ 3  X                   
        0.56*10^ 3  X                   
        0.48*10^ 3  X5                  
        0.40*10^ 3  XX                  
        0.32*10^ 3  XX                  
        0.24*10^ 3  XX                  
        0.16*10^ 3  XX7                 
        0.08*10^ 3  XXX83111            

          Contents                      
            *10^ 3  20000000000000000000
            *10^ 2  04100000000000000000
            *10^ 1  54362100000000000000
            *10^ 0  73221274201000000000

          Low edge  -                   
            *10^ 1  00000000000111111111
            *10^ 0  00123456789012345678
            *10^-1  55555555555555555555

   Entries  =        2742    Mean =  4.1335e-01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  2.7410e+03    Rms  =  9.3039e-01    Overflow  =  1.0000e+00    High edge =  1.9500e+01
pythia8-8.1.86.orig/examples/outref/out160000644000175000017500000012065712357054717016410 0ustar  sunsun PYTHIA settings will be read from file main16.cmnd

 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:04:55    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> H (SM)                                  902 |   3.091e-07 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  270.41 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | HiggsSM:gg2H                                  |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberCount                              |                      100 |         1000           0             | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | Stat:showPartonLevel                          |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

      25  h0(H_1)                             1   0   0  125.00000    0.00404  124.79824  125.20176  0.00000e+00   1   1   0   0   0
              0     1   0.0000000  100        1       -1 
              1     1   0.0000000  100        2       -2 
              2     1   0.0004394  100        3       -3 
              3     1   0.0267649  100        4       -4 
              4     1   0.5772432  100        5       -5 
              5     1   0.0000000  100        6       -6 
              6     1   0.0000000  100       11      -11 
              7     1   0.0002207  100       13      -13 
              8     1   0.0636166  100       15      -15 
              9     1   0.0854879  100       21       21 
             10     1   0.0022970  100       22       22 
             11     1   0.0015480  100       22       23 
             12     1   0.0266650  100       23       23 
             13     1   0.2157172  100       24      -24 
             14     1   0.0000000  103  1000022  1000022 
             15     1   0.0000000  103  1000023  1000022 
             16     1   0.0000000  103  1000023  1000023 
             17     1   0.0000000  103  1000025  1000022 
             18     1   0.0000000  103  1000025  1000023 
             19     1   0.0000000  103  1000025  1000025 
             20     1   0.0000000  103  1000035  1000022 
             21     1   0.0000000  103  1000035  1000023 
             22     1   0.0000000  103  1000035  1000025 
             23     1   0.0000000  103  1000035  1000035 
             24     1   0.0000000  103  1000024 -1000024 
             25     1   0.0000000  103  1000024 -1000037 
             26     1   0.0000000  103  1000037 -1000024 
             27     1   0.0000000  103  1000037 -1000037 
             28     1   0.0000000  103  1000001 -1000001 
             29     1   0.0000000  103  2000001 -2000001 
             30     1   0.0000000  103  1000001 -2000001 
             31     1   0.0000000  103 -1000001  2000001 
             32     1   0.0000000  103  1000002 -1000002 
             33     1   0.0000000  103  2000002 -2000002 
             34     1   0.0000000  103  1000002 -2000002 
             35     1   0.0000000  103 -1000002  2000002 
             36     1   0.0000000  103  1000003 -1000003 
             37     1   0.0000000  103  2000003 -2000003 
             38     1   0.0000000  103  1000003 -2000003 
             39     1   0.0000000  103 -1000003  2000003 
             40     1   0.0000000  103  1000004 -1000004 
             41     1   0.0000000  103  2000004 -2000004 
             42     1   0.0000000  103  1000004 -2000004 
             43     1   0.0000000  103 -1000004  2000004 
             44     1   0.0000000  103  1000005 -1000005 
             45     1   0.0000000  103  2000005 -2000005 
             46     1   0.0000000  103  1000005 -2000005 
             47     1   0.0000000  103 -1000005  2000005 
             48     1   0.0000000  103  1000006 -1000006 
             49     1   0.0000000  103  2000006 -2000006 
             50     1   0.0000000  103  1000006 -2000006 
             51     1   0.0000000  103 -1000006  2000006 
             52     1   0.0000000  103  1000011 -1000011 
             53     1   0.0000000  103  2000011 -2000011 
             54     1   0.0000000  103  1000011 -2000011 
             55     1   0.0000000  103 -1000011  2000011 
             56     1   0.0000000  103  1000012 -1000012 
             57     1   0.0000000  103  2000012 -2000012 
             58     1   0.0000000  103  1000012 -2000012 
             59     1   0.0000000  103 -1000012  2000012 
             60     1   0.0000000  103  1000013 -1000013 
             61     1   0.0000000  103  2000013 -2000013 
             62     1   0.0000000  103  1000013 -2000013 
             63     1   0.0000000  103 -1000013  2000013 
             64     1   0.0000000  103  1000014 -1000014 
             65     1   0.0000000  103  2000014 -2000014 
             66     1   0.0000000  103  1000014 -2000014 
             67     1   0.0000000  103 -1000014  2000014 
             68     1   0.0000000  103  1000015 -1000015 
             69     1   0.0000000  103  2000015 -2000015 
             70     1   0.0000000  103  1000015 -2000015 
             71     1   0.0000000  103 -1000015  2000015 
             72     1   0.0000000  103  1000016 -1000016 
             73     1   0.0000000  103  2000016 -2000016 
             74     1   0.0000000  103  1000016 -2000016 
             75     1   0.0000000  103 -1000016  2000016 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  3.775e-03, pdf =  1.694e+01 at Q2 =  1.563e+04.
 In 2: id =   21, x =  2.112e-02, pdf =  4.577e+00 at same Q2.

 Subprocess g g -> H (SM) with code 902 is 2 -> 1.
 It has sHat =  1.563e+04.
     alphaEM =  7.846e-03,  alphaS =  1.283e-01    at Q2 =  1.563e+04.

 Impact parameter b =  8.974e-01 gives enhancement factor =  9.479e-01.
 Max pT scale for MPI =  1.400e+04, ISR =  1.400e+04, FSR =  1.400e+04.
 Number of MPI =     9, ISR =    25, FSRproc =   144, FSRreson =    13.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     1     0     5     0   101   102      0.000      0.000     26.423     26.423      0.000
     4        21   (g)                -21     2     0     5     0   102   101      0.000      0.000   -147.839    147.839      0.000
     5        25   (h0(H_1))          -22     3     4     6     7     0     0      0.000      0.000   -121.416    174.261    125.001
     6         5   b                   23     5     0     0     0   103     0    -49.481    -24.369    -20.278     58.961      4.800
     7        -5   bbar                23     5     0     0     0     0   103     49.481     24.369   -101.138    115.300      4.800
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000   -121.416    174.261    125.001

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 Pythia::next(): 100 events have been generated 
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  

 Pythia::next(): 200 events have been generated 

 Pythia::next(): 300 events have been generated 
 PYTHIA Warning in Pythia::check: energy-momentum not quite conserved  

 Pythia::next(): 400 events have been generated 
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  

 Pythia::next(): 500 events have been generated 
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  
 PYTHIA Warning in TimeShower::pTnext: negative dipole mass.  

 Pythia::next(): 600 events have been generated 

 Pythia::next(): 700 events have been generated 

 Pythia::next(): 800 events have been generated 

 Pythia::next(): 900 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> H (SM)                                  902 |       10431       1000       1000 |   3.026e-08  7.053e-10 |
 |                                                    |                                   |                        |
 | sum                                                |       10431       1000       1000 |   3.026e-08  7.053e-10 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Multiparton Interactions Statistics  --------*
 |                                                             |
 |  Note: excludes hardest subprocess if already listed above  |
 |                                                             |
 | Subprocess                               Code |       Times |
 |                                               |             |
 |-------------------------------------------------------------|
 |                                               |             |
 | g g -> g g                                111 |        5039 |
 | g g -> q qbar (uds)                       112 |          60 |
 | q g -> q g                                113 |        1871 |
 | q q(bar)' -> q q(bar)'                    114 |         126 |
 | q qbar -> g g                             115 |           4 |
 | q qbar -> q' qbar' (uds)                  116 |           0 |
 | g g -> c cbar                             121 |          23 |
 | q qbar -> c cbar                          122 |           0 |
 | g g -> b bbar                             123 |           8 |
 | q qbar -> b bbar                          124 |           0 |
 | q g -> q gamma (udscb)                    201 |           0 |
 | q qbar -> g gamma                         202 |           0 |
 | g g -> g gamma                            203 |           0 |
 | f fbar -> gamma gamma                     204 |           0 |
 | g g -> gamma gamma                        205 |           0 |
 | f f' -> f f' (t-channel gamma*/Z0)        211 |           0 |
 | f_1 f_2 -> f_3 f_4 (t-channel W+-)        212 |           0 |
 | f fbar -> f' fbar' (s-channel gamma*)     223 |           0 |
 | g g -> ccbar[3S1(1)] g                    401 |           0 |
 | g g -> ccbar[3P0(1)] g                    402 |           3 |
 | g g -> ccbar[3P1(1)] g                    403 |           1 |
 | g g -> ccbar[3P2(1)] g                    404 |           2 |
 | q g -> ccbar[3P0(1)] q                    405 |           0 |
 | q g -> ccbar[3P1(1)] q                    406 |           0 |
 | q g -> ccbar[3P2(1)] q                    407 |           0 |
 | q qbar -> ccbar[3P0(1)] g                 408 |           0 |
 | q qbar -> ccbar[3P1(1)] g                 409 |           0 |
 | q qbar -> ccbar[3P2(1)] g                 410 |           0 |
 | g g -> ccbar[3S1(8)] g                    411 |           0 |
 | g g -> ccbar[1S0(8)] g                    412 |           0 |
 | g g -> ccbar[3PJ(8)] g                    413 |           1 |
 | q g -> ccbar[3S1(8)] q                    414 |           0 |
 | q g -> ccbar[1S0(8)] q                    415 |           0 |
 | q g -> ccbar[3PJ(8)] q                    416 |           0 |
 | q qbar -> ccbar[3S1(8)] g                 417 |           0 |
 | q qbar -> ccbar[1S0(8)] g                 418 |           0 |
 | q qbar -> ccbar[3PJ(8)] g                 419 |           0 |
 | g g -> bbbar[3S1(1)] g                    501 |           0 |
 | g g -> bbbar[3P0(1)] g                    502 |           1 |
 | g g -> bbbar[3P1(1)] g                    503 |           0 |
 | g g -> bbbar[3P2(1)] g                    504 |           0 |
 | q g -> bbbar[3P0(1)] q                    505 |           0 |
 | q g -> bbbar[3P1(1)] q                    506 |           0 |
 | q g -> bbbar[3P2(1)] q                    507 |           0 |
 | q qbar -> bbbar[3P0(1)] g                 508 |           0 |
 | q qbar -> bbbar[3P1(1)] g                 509 |           0 |
 | q qbar -> bbbar[3P2(1)] g                 510 |           0 |
 | g g -> bbbar[3S1(8)] g                    511 |           0 |
 | g g -> bbbar[1S0(8)] g                    512 |           0 |
 | g g -> bbbar[3PJ(8)] g                    513 |           0 |
 | q g -> bbbar[3S1(8)] q                    514 |           0 |
 | q g -> bbbar[1S0(8)] q                    515 |           0 |
 | q g -> bbbar[3PJ(8)] q                    516 |           0 |
 | q qbar -> bbbar[3S1(8)] g                 517 |           0 |
 | q qbar -> bbbar[1S0(8)] g                 518 |           0 |
 | q qbar -> bbbar[3PJ(8)] g                 519 |           0 |
 |                                                             |
 | sum                                           |        7139 |
 |                                               |             |
 *-------  End PYTHIA Multiparton Interactions Statistics -----*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      1   Warning in Pythia::check: energy-momentum not quite conserved                                          | 
 |      6   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |      1   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |      1   Warning in TimeShower::pTnext: negative dipole mass.                                                   | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:05       Higgs branching ratios by flavour

        5.80*10^ 2       9                        
        5.60*10^ 2       X                        
        5.40*10^ 2       X                        
        5.20*10^ 2       X                        
        5.00*10^ 2       X                        
        4.80*10^ 2       X                        
        4.60*10^ 2       X                        
        4.40*10^ 2       X                        
        4.20*10^ 2       X                        
        4.00*10^ 2       X                        
        3.80*10^ 2       X                        
        3.60*10^ 2       X                        
        3.40*10^ 2       X                        
        3.20*10^ 2       X                        
        3.00*10^ 2       X                        
        2.80*10^ 2       X                        
        2.60*10^ 2       X                        
        2.40*10^ 2       X                  1     
        2.20*10^ 2       X                  X     
        2.00*10^ 2       X                  X     
        1.80*10^ 2       X                  X     
        1.60*10^ 2       X                  X     
        1.40*10^ 2       X                  X     
        1.20*10^ 2       X                  X     
        1.00*10^ 2       X               3  X     
        0.80*10^ 2       X         0     X  X     
        0.60*10^ 2       X         X     X  X     
        0.40*10^ 2      4X         X     X 1X     
        0.20*10^ 2      XX         X     X1XX 1   

          Contents                                
            *10^ 2  000005000000000000000000200000
            *10^ 1  000027000000000600000802200000
            *10^ 0  000087000000000100000711203000
            *10^-1  000000000000000000000000000000

          Low edge  -                             
            *10^ 1  000000000001111111111222222222
            *10^ 0  001234567890123456789012345678
            *10^-1  555555555555555555555555555555

   Entries  =        1000    Mean =  1.1650e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  8.5285e+00    Overflow  =  0.0000e+00    High edge =  2.9500e+01


  2013-09-20 16:05       Higgs rapidity

        3.00*10^-1                                                5                                                     
        2.90*10^-1                                                X  5                                                  
        2.80*10^-1                                                X  X                                                  
        2.70*10^-1                                                X  X5  5                                              
        2.60*10^-1                                                X  XX  X                                              
        2.50*10^-1                                                X  XX XX                                              
        2.40*10^-1                                                X  XX XX                                              
        2.30*10^-1                                               5X XXX5XX                                              
        2.20*10^-1                                               XX XXXXXXX                                             
        2.10*10^-1                                              XXX XXXXXXX5 5                                          
        2.00*10^-1                                              XXXXXXXXXXXX X                                          
        1.90*10^-1                                             XXXXXXXXXXXXX X                                          
        1.80*10^-1                                             XXXXXXXXXXXXX X                                          
        1.70*10^-1                                             XXXXXXXXXXXXX XX                                         
        1.60*10^-1                                         X   XXXXXXXXXXXXX5XX                                         
        1.50*10^-1                                         X   XXXXXXXXXXXXXXXX                                         
        1.40*10^-1                                         X 5XXXXXXXXXXXXXXXXX                                         
        1.30*10^-1                                         X XXXXXXXXXXXXXXXXXX                                         
        1.20*10^-1                                         X XXXXXXXXXXXXXXXXXX                                         
        1.10*10^-1                                       5 XXXXXXXXXXXXXXXXXXXXX5                                       
        1.00*10^-1                                       X XXXXXXXXXXXXXXXXXXXXXX                                       
        0.90*10^-1                                       X XXXXXXXXXXXXXXXXXXXXXX5                                      
        0.80*10^-1                                       X XXXXXXXXXXXXXXXXXXXXXXX 5                                    
        0.70*10^-1                                       X XXXXXXXXXXXXXXXXXXXXXXXXX                                    
        0.60*10^-1                                       X XXXXXXXXXXXXXXXXXXXXXXXXX                                    
        0.50*10^-1                                      5XXXXXXXXXXXXXXXXXXXXXXXXXXX X                                  
        0.40*10^-1                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX5X5                                 
        0.30*10^-1                                    5 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
        0.20*10^-1                                   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                 
        0.10*10^-1                              5  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                                

          Contents                                                                                                      
            *10^-1  0000000000000000000000000000000000000101111122222222222212111000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000112224056134912903862562050710877353000000000000000000000000000000000
            *10^-3  0000000000000000000000000000500000505500050005500555050555005505505500000000000000000000000000000000
            *10^-4  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =        1000    Mean =  3.1000e-02    Underflow =  0.0000e+00    Low edge  = -1.0000e+01
   All chan =  5.0000e+00    Rms  =  1.4403e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:05       charged pseudorapidity

        2.50*10^ 1                                                  2 72                                                
        2.40*10^ 1                                            197966XXXX57 6                                            
        2.30*10^ 1                                           2XXXXXXXXXXXX8X442                                         
        2.20*10^ 1                                          8XXXXXXXXXXXXXXXXXXX63                                      
        2.10*10^ 1                                       26XXXXXXXXXXXXXXXXXXXXXXX1                                     
        2.00*10^ 1                                       XXXXXXXXXXXXXXXXXXXXXXXXXX4                                    
        1.90*10^ 1                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                    
        1.80*10^ 1                                    X9XXXXXXXXXXXXXXXXXXXXXXXXXXXXX95                                 
        1.70*10^ 1                                  5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                                
        1.60*10^ 1                                 1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                
        1.50*10^ 1                               23XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX97                              
        1.40*10^ 1                              5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX62                            
        1.30*10^ 1                             7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2                           
        1.20*10^ 1                            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                          
        1.10*10^ 1                          7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2                        
        1.00*10^ 1                         2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                       
        0.90*10^ 1                        7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                      
        0.80*10^ 1                       8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX71                    
        0.70*10^ 1                     28XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                   
        0.60*10^ 1                    4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                  
        0.50*10^ 1                   8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6                 
        0.40*10^ 1                 69XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX86               
        0.30*10^ 1              37XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX62            
        0.20*10^ 1         14398XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX99532       
        0.10*10^ 1  223568XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9964422

          Contents                                                                                                      
            *10^ 1  0000000000000000000000001111111111111222222222222222222222222221111111111111000000000000000000000000
            *10^ 0  0000000111112223345667890122344566878000123333334344332322211109877644332100987765433222111110000000
            *10^-1  1234589143873696973288727007523059099269720879652961468533296213095396612791246143576951894219964321
            *10^-2  6117928234760865599322334214351927036237619900292678893879055916042329254275898330993988718783333847

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =      224884    Mean = -8.2795e-03    Underflow =  4.1500e-01    Low edge  = -1.0000e+01
   All chan =  1.1237e+03    Rms  =  3.4416e+00    Overflow  =  3.3000e-01    High edge =  1.0000e+01


  2013-09-20 16:05       charged multiplicity

        4.50*10^ 1                             3                                                                        
        4.35*10^ 1                             X                                                                        
        4.20*10^ 1                             X                                                                        
        4.05*10^ 1                             X                                                                        
        3.90*10^ 1                             X                                                                        
        3.75*10^ 1                             X                                                                        
        3.60*10^ 1                     X    X  X                                                                        
        3.45*10^ 1                     X    X  X                                                                        
        3.30*10^ 1                 X   X 3 XX 3XX   33 X  3                                                             
        3.15*10^ 1                 X   X X XX XXX   XX7X  X                                                             
        3.00*10^ 1                 X   X X XXXXXX3X3XXXX  X 3                                                           
        2.85*10^ 1                 X7 7X X XXXXXXXXXXXXX  X X                                                           
        2.70*10^ 1                 XX3XX X XXXXXXXXXXXXXX X X                                                           
        2.55*10^ 1                 XXXXX X XXXXXXXXXXXXXX X X                                                           
        2.40*10^ 1                 XXXXX X XXXXXXXXXXXXXX X X                                                           
        2.25*10^ 1                 XXXXX7X7XXXXXXXXXXXXXX X X                                                           
        2.10*10^ 1            3 X 3XXXXXXXXXXXXXXXXXXXXXXXX X                                                           
        1.95*10^ 1            X X XXXXXXXXXXXXXXXXXXXXXXXXX7X7                                                          
        1.80*10^ 1            X3X3XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                          
        1.65*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                          
        1.50*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 3                                                       
        1.35*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X 7                                                     
        1.20*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X                                                     
        1.05*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X                                                     
        0.90*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X                                                     
        0.75*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7X                                                     
        0.60*10^ 1          X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  X3                                                 
        0.45*10^ 1          X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX77XX   7                                             
        0.30*10^ 1        3 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   3                                         
        0.15*10^ 1        X7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7 7X 7                                       

          Contents                                                                                                      
            *10^ 1  0000000000212123222323233334323233332231211010100000000000000000000000000000000000000000000000000000
            *10^ 0  0000002163071703868622236024390922137129995947344653334101201000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =        1000    Mean =  2.2539e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  8.3664e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02
pythia8-8.1.86.orig/examples/outref/out170000644000175000017500000023765712357054717016422 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:05:29    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

 PYTHIA Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated  

 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 7.000e+03 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> ccbar[3S1(1)] g                         401 |   8.792e-03 |
 | g g -> ccbar[3P0(1)] g                         402 |   9.242e-01 |
 | g g -> ccbar[3P1(1)] g                         403 |   1.136e+00 |
 | g g -> ccbar[3P2(1)] g                         404 |   1.649e+00 |
 | q g -> ccbar[3P0(1)] q                         405 |   5.302e-01 |
 | q g -> ccbar[3P1(1)] q                         406 |   2.373e-01 |
 | q g -> ccbar[3P2(1)] q                         407 |   4.568e-01 |
 | q qbar -> ccbar[3P0(1)] g                      408 |   1.976e-06 |
 | q qbar -> ccbar[3P1(1)] g                      409 |   6.824e-05 |
 | q qbar -> ccbar[3P2(1)] g                      410 |   4.379e-05 |
 | g g -> ccbar[3S1(8)] g                         411 |   1.871e-01 |
 | g g -> ccbar[1S0(8)] g                         412 |   1.002e-01 |
 | g g -> ccbar[3PJ(8)] g                         413 |   1.323e-01 |
 | q g -> ccbar[3S1(8)] q                         414 |   3.935e-02 |
 | q g -> ccbar[1S0(8)] q                         415 |   2.947e-02 |
 | q g -> ccbar[3PJ(8)] q                         416 |   6.154e-02 |
 | q qbar -> ccbar[3S1(8)] g                      417 |   1.198e-04 |
 | q qbar -> ccbar[1S0(8)] g                      418 |   1.980e-06 |
 | q qbar -> ccbar[3PJ(8)] g                      419 |   5.259e-06 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   50.91 mb               | 
 |                                                                  | 
 |    pT0 =  2.70 gives sigmaInteraction =  207.48 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 7000.000 |    14000.000    10.00000             | 
 | Charmonium:all                                |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                  0.50000 |          0.0         0.0             | 
 | PhaseSpace:pTHatMinDiverge                    |                  0.50000 |      1.00000     0.50000             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

     443  J/psi                               3   0   0    3.09692    0.00009    3.09602    3.09782  0.00000e+00   0   1   1   1   0
              0     1   0.8023950   43       83      -83 
              1     1   0.0594000    0       11      -11 
              2     1   0.0593000    0       13      -13 
              3     1   0.0130000    0      441       22 
              4     1   0.0056000    0      113      111 
              5     1   0.0056500    0      213     -211 
              6     1   0.0056500    0     -213      211 
              7     1   0.0036000    0      115      113 
              8     1   0.0036000    0     -215      213 
              9     1   0.0036000    0      215     -213 
             10     1   0.0043000    0      225      223 
             11     1   0.0022000    0      313     -315 
             12     1   0.0022000    0      323     -325 
             13     1   0.0022000    0     -323      325 
             14     1   0.0025000    0      321     -323 
             15     1   0.0025000    0     -321      323 
             16     1   0.0021000    0      311     -313 
             17     1   0.0021000    0     -311      313 
             18     1   0.0019000    0    20323     -321 
             19     1   0.0019000    0   -20323      321 
             20     1   0.0015000    0    10213     -211 
             21     1   0.0015000    0   -10213      211 
             22     1   0.0023000    0    10113      111 
             23     1   0.0004800    0    10331      223 
             24     1   0.0007400    0      223      221 
             25     1   0.0003600    0    10331      333 
             26     1   0.0008000    0      333      335 
             27     1   0.0006800    0    20333      223 
             28     1   0.0007400    0      333      221 
             29     1   0.0004500    0      223      111 
             30     1   0.0004000    0      333      331 
             31     1   0.0003200    0      333  9010221 
             32     1   0.0002600    0      333    20223 
             33     1   0.0001930    0      113      221 
             34     1   0.0001820    0      223      331 
             35     1   0.0001400    0      223  9010221 
             36     1   0.0001050    0      113      331 
             37     1   0.0011000    0     2224    -2224 
             38     1   0.0005150    0     3112    -3112 
             39     1   0.0005900    0     3314    -3314 
             40     1   0.0003200    0     3324    -3324 
             41     1   0.0003200    0     3324    -3324 
             42     1   0.0001550    0     3114    -3114 
             43     1   0.0001550    0     3224    -3224 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 J/psi decay performed, J/psi in line 125, mother id = 20443

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   7000.000   7000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   3500.000   3500.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -3500.000   3500.000      0.938
     3        21   (g)                -21     1     0     5     6   102   101      0.000      0.000   1159.576   1159.576      0.000
     4        21   (g)                -21     2     0     5     6   103   102      0.000      0.000     -2.633      2.633      0.000
     5     20443   chi_1c              23     3     4     0     0     0     0      1.842     -0.440     -1.121      4.144      3.511
     6        21   g                   23     3     4     0     0   103   101     -1.842      0.440   1158.064   1158.065      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000   1156.943   1162.209    110.510

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   7000.000   7000.000
     1      2212   (p+)               -12     0     0    30     0     0     0      0.000      0.000   3500.000   3500.000      0.938
     2      2212   (p+)               -12     0     0    31     0     0     0      0.000      0.000  -3500.000   3500.000      0.938
     3        21   (g)                -21     7     0     5     6   102   101      0.000      0.000   1159.576   1159.576      0.000
     4        21   (g)                -21     8     8     5     6   103   102      0.000      0.000     -2.633      2.633      0.000
     5     20443   (chi_1c)           -23     3     4     9     9     0     0      1.842     -0.440     -1.121      4.144      3.511
     6        21   (g)                -23     3     4    10    10   103   101     -1.842      0.440   1158.064   1158.065      0.000
     7        21   (g)                -41    21    21    11     3   104   101      0.000      0.000   1184.592   1184.592      0.000
     8        21   (g)                -42    14    14     4     4   103   102     -0.000      0.000     -2.633      2.633      0.000
     9     20443   (chi_1c)           -44     5     5    23    23     0     0      1.841     -0.439     -1.090      4.135      3.511
    10        21   (g)                -44     6     6    12    13   103   101     -2.689      1.160   1166.418   1166.422      0.000
    11        21   (g)                -43     7     0    15    16   104   102      0.847     -0.722     16.631     16.668      0.000
    12        21   (g)                -51    10     0    18    19   105   101     -0.941      1.020    610.152    610.154      0.000
    13        21   (g)                -51    10     0    20    20   103   105     -1.748      0.140    556.266    556.268      0.000
    14        21   (g)                -53    17    17     8     8   103   102      0.000      0.000     -2.633      2.633      0.000
    15        21   (g)                -51    11     0    25    25   104   106     -0.023     -0.364      9.736      9.743      0.000
    16        21   (g)                -51    11     0    27    27   106   102      0.870     -0.358      6.878      6.942      0.000
    17        21   (g)                -53    22     0    14    14   103   102     -0.000      0.000     -2.650      2.650      0.000
    18        21   (g)                -51    12     0    24    24   107   101     -0.171      0.437    120.877    120.878      0.000
    19        21   (g)                -51    12     0    28    28   105   107     -1.588      0.649    749.942    749.944      0.000
    20        21   (g)                -52    13    13    26    26   103   105     -0.929      0.074    295.599    295.600      0.000
    21        21   (g)                -42    30    30     7     7   104   101     -0.000      0.000   1184.592   1184.592      0.000
    22        21   (g)                -41    31    31    29    17   103   108      0.000     -0.000    -54.517     54.517      0.000
    23     20443   (chi_1c)           -44     9     9    32    32     0     0      1.931     -0.810     -1.014      4.211      3.511
    24        21   (g)                -44    18    18    33    33   107   101     -0.171      0.437    120.842    120.843      0.000
    25        21   (g)                -44    15    15    34    34   104   106     -0.023     -0.364      9.762      9.768      0.000
    26        21   (g)                -44    20    20    35    35   103   105     -0.929      0.074    295.574    295.575      0.000
    27        21   (g)                -44    16    16    36    36   106   102      0.871     -0.363      6.919      6.983      0.000
    28        21   (g)                -44    19    19    37    37   105   107     -1.588      0.649    749.859    749.861      0.000
    29        21   (g)                -43    22     0    38    38   102   108     -0.091      0.376    -51.866     51.868      0.000
    30        21   (g)                -61     1     0    21    21   104   101      0.544     -2.769   1184.599   1184.602      0.000
    31        21   (g)                -61     2     0    22    22   103   108      0.268      0.721    -54.513     54.519      0.000
    32     20443   (chi_1c)           -62    23    23   125   126     0     0      1.944     -0.779     -1.016      4.212      3.511
    33        21   (g)                -62    24    24    66    66   107   101     -0.116      0.154    120.846    120.846      0.000
    34        21   (g)                -62    25    25    47    47   104   106     -0.018     -0.387      9.759      9.766      0.000
    35        21   (g)                -62    26    26    43     0   103   105     -0.793     -0.617    295.574    295.576      0.000
    36        21   (g)                -62    27    27    46    46   106   102      0.875     -0.378      6.918      6.983      0.000
    37        21   (g)                -62    28    28    43     0   105   107     -1.244     -1.104    749.865    749.867      0.000
    38        21   (g)                -62    29    29    45    45   102   108      0.164      1.062    -51.860     51.871      0.000
    39      2203   (uu_1)             -63     1     0    48    48     0   104      0.166      1.537   2288.275   2288.276      0.771
    40         1   (d)                -63     1     0    65    65   101     0     -0.711      1.232     27.098     27.137      0.330
    41      2101   (ud_0)             -63     2     0    68    68     0   103     -0.416     -0.337  -3424.924   3424.924      0.579
    42         2   (u)                -63     2     0    44    44   108     0      0.148     -0.384    -20.535     20.542      0.330
    43        21   (g)                -73    35    37    67    67   103   107     -2.037     -1.720   1045.439   1045.442      0.562
    44         2   (u)                -71    42    42    49    64   108     0      0.148     -0.384    -20.535     20.542      0.330
    45        21   (g)                -71    38    38    49    64   102   108      0.164      1.062    -51.860     51.871      0.000
    46        21   (g)                -71    36    36    49    64   106   102      0.875     -0.378      6.918      6.983      0.000
    47        21   (g)                -71    34    34    49    64   104   106     -0.018     -0.387      9.759      9.766      0.000
    48      2203   (uu_1)             -71    39    39    49    64     0   104      0.166      1.537   2288.275   2288.276      0.771
    49       211   pi+                 83    44    48     0     0     0     0      0.496      0.477    -26.274     26.283      0.140
    50      -213   (rho-)             -83    44    48    95    96     0     0     -0.197     -0.236    -25.055     25.066      0.690
    51       321   K+                  83    44    48     0     0     0     0      0.112     -0.323    -19.485     19.495      0.494
    52      -321   K-                  83    44    48     0     0     0     0      0.085      0.554     -0.465      0.880      0.494
    53       213   (rho+)             -83    44    48    97    98     0     0     -0.056      0.685     -0.435      1.125      0.778
    54      2112   n0                  83    44    48     0     0     0     0     -0.366     -1.017      4.781      4.991      0.940
    55       111   (pi0)              -83    44    48   127   128     0     0      0.631      0.220      3.943      4.002      0.135
    56     -2212   pbar-               83    44    48     0     0     0     0      0.392     -0.322     15.537     15.574      0.938
    57       211   pi+                 84    44    48     0     0     0     0      0.128      0.340     53.886     53.888      0.140
    58       111   (pi0)              -84    44    48   129   130     0     0     -0.085     -0.162     11.569     11.572      0.135
    59      -211   pi-                 84    44    48     0     0     0     0      0.280     -0.139     87.467     87.468      0.140
    60       111   (pi0)              -84    44    48   131   132     0     0     -0.258      0.202    161.901    161.902      0.135
    61       211   pi+                 84    44    48     0     0     0     0     -0.334      0.392    112.295    112.296      0.140
    62       113   (rho0)             -84    44    48    99   100     0     0      0.378     -0.059    177.745    177.749      1.079
    63      -211   pi-                 84    44    48     0     0     0     0      0.282      0.028     25.624     25.626      0.140
    64      2224   (Delta++)          -84    44    48   101   102     0     0     -0.153      0.811   1649.522   1649.522      1.372
    65         1   (d)                -71    40    40    69    94   101     0     -0.711      1.232     27.098     27.137      0.330
    66        21   (g)                -71    33    33    69    94   107   101     -0.116      0.154    120.846    120.846      0.000
    67        21   (g)                -71    43    43    69    94   103   107     -2.037     -1.720   1045.439   1045.442      0.562
    68      2101   (ud_0)             -71    41    41    69    94     0   103     -0.416     -0.337  -3424.924   3424.924      0.579
    69      -211   pi-                 83    65    68     0     0     0     0     -0.154      0.175     18.020     18.022      0.140
    70      2224   (Delta++)          -83    65    68   103   104     0     0     -0.415      0.499     41.297     41.323      1.324
    71      -213   (rho-)             -83    65    68   105   106     0     0     -0.079      0.750     62.618     62.627      0.764
    72     -2214   (Deltabar-)        -83    65    68   107   108     0     0     -1.136     -1.025    470.881    470.885      1.200
    73       331   (eta')             -83    65    68   133   134     0     0     -0.210     -0.069     99.026     99.031      0.958
    74       221   (eta)              -83    65    68   135   136     0     0     -0.259     -0.226    183.151    183.152      0.548
    75       321   K+                  83    65    68     0     0     0     0     -0.285      0.118     66.597     66.600      0.494
    76      -323   (K*-)              -83    65    68   109   110     0     0     -0.271     -0.456    196.872    196.875      0.894
    77       323   (K*+)              -83    65    68   111   112     0     0     -0.185      0.229     33.304     33.317      0.869
    78      -321   K-                  83    65    68     0     0     0     0     -0.158      0.112     11.983     11.995      0.494
    79       321   K+                  83    65    68     0     0     0     0      0.109     -0.471      5.196      5.241      0.494
    80      -323   (K*-)              -84    65    68   113   114     0     0      0.208      0.181      0.855      1.267      0.893
    81       213   (rho+)             -84    65    68   115   116     0     0      0.074     -0.583      1.740      1.909      0.520
    82       313   (K*0)              -84    65    68   117   118     0     0      0.070      0.707      1.113      1.623      0.943
    83      -321   K-                  84    65    68     0     0     0     0     -0.218     -0.295     -1.930      2.026      0.494
    84       211   pi+                 84    65    68     0     0     0     0      0.190     -0.194     -2.094      2.116      0.140
    85       111   (pi0)              -84    65    68   137   138     0     0     -0.205      0.306     -1.520      1.570      0.135
    86       223   (omega)            -84    65    68   139   141     0     0      0.112      0.379     -3.605      3.709      0.779
    87      -211   pi-                 84    65    68     0     0     0     0     -0.377     -0.674    -71.076     71.080      0.140
    88       211   pi+                 84    65    68     0     0     0     0      0.393     -0.024    -44.260     44.262      0.140
    89       221   (eta)              -84    65    68   142   143     0     0      0.001      0.736    -61.861     61.868      0.548
    90       311   (K0)               -84    65    68   119   119     0     0     -0.370     -0.463   -101.356    101.359      0.498
    91      -321   K-                  84    65    68     0     0     0     0      0.078     -0.114   -487.830    487.831      0.494
    92       211   pi+                 84    65    68     0     0     0     0      0.155      0.094   -156.898    156.898      0.140
    93      -213   (rho-)             -84    65    68   120   121     0     0     -0.082     -0.027  -1095.477   1095.477      0.759
    94      2212   p+                  84    65    68     0     0     0     0     -0.267     -0.337  -1396.287   1396.287      0.938
    95      -211   pi-                 91    50     0     0     0     0     0      0.197     -0.199    -14.032     14.035      0.140
    96       111   (pi0)              -91    50     0   144   145     0     0     -0.394     -0.037    -11.023     11.031      0.135
    97       211   pi+                 91    53     0     0     0     0     0      0.197      0.241      0.117      0.361      0.140
    98       111   (pi0)              -91    53     0   146   147     0     0     -0.254      0.443     -0.552      0.764      0.135
    99       211   pi+                 91    62     0     0     0     0     0      0.069      0.386     33.213     33.216      0.140
   100      -211   pi-                 91    62     0     0     0     0     0      0.309     -0.445    144.532    144.533      0.140
   101      2212   p+                  91    64     0     0     0     0     0      0.143      0.323    944.004    944.004      0.938
   102       211   pi+                 91    64     0     0     0     0     0     -0.296      0.489    705.518    705.518      0.140
   103      2212   p+                  91    70     0     0     0     0     0     -0.482      0.622     30.624     30.649      0.938
   104       211   pi+                 91    70     0     0     0     0     0      0.067     -0.123     10.673     10.675      0.140
   105      -211   pi-                 91    71     0     0     0     0     0     -0.375      0.272     24.137     24.142      0.140
   106       111   (pi0)              -91    71     0   148   149     0     0      0.296      0.478     38.480     38.485      0.135
   107     -2212   pbar-               91    72     0     0     0     0     0     -0.664     -0.774    317.780    317.783      0.938
   108       111   (pi0)              -91    72     0   150   151     0     0     -0.472     -0.252    153.101    153.102      0.135
   109      -321   K-                  91    76     0     0     0     0     0      0.005     -0.470    160.400    160.402      0.494
   110       111   (pi0)              -91    76     0   152   153     0     0     -0.276      0.014     36.472     36.473      0.135
   111       311   (K0)               -91    77     0   122   122     0     0     -0.304      0.172     15.965     15.976      0.498
   112       211   pi+                 91    77     0     0     0     0     0      0.119      0.057     17.340     17.341      0.140
   113      -311   (Kbar0)            -91    80     0   123   123     0     0      0.146      0.268      0.247      0.634      0.498
   114      -211   pi-                 91    80     0     0     0     0     0      0.063     -0.087      0.608      0.633      0.140
   115       211   pi+                 91    81     0     0     0     0     0      0.182     -0.441      1.502      1.582      0.140
   116       111   (pi0)              -91    81     0   154   155     0     0     -0.108     -0.142      0.238      0.326      0.135
   117       311   (K0)               -91    82     0   124   124     0     0      0.067      0.279      0.206      0.610      0.498
   118       111   (pi0)              -91    82     0   156   157     0     0      0.003      0.429      0.908      1.013      0.135
   119       130   K_L0                91    90    90     0     0     0     0     -0.370     -0.463   -101.356    101.359      0.498
   120      -211   pi-                 91    93     0     0     0     0     0      0.084      0.007    -54.312     54.312      0.140
   121       111   (pi0)              -91    93     0   158   159     0     0     -0.165     -0.034  -1041.165   1041.165      0.135
   122       310   (K_S0)             -91   111   111   160   161     0     0     -0.304      0.172     15.965     15.976      0.498
   123       130   K_L0                91   113   113     0     0     0     0      0.146      0.268      0.247      0.634      0.498
   124       310   (K_S0)             -91   117   117   162   163     0     0      0.067      0.279      0.206      0.610      0.498
   125       443   (J/psi)            -91    32     0   164   165     0     0      1.695     -0.657     -1.296      3.818      3.097
   126        22   gamma               91    32     0     0     0     0     0      0.250     -0.122      0.280      0.395      0.000
   127        22   gamma               91    55     0     0     0     0     0      0.290      0.040      1.508      1.536      0.000
   128        22   gamma               91    55     0     0     0     0     0      0.341      0.180      2.436      2.466      0.000
   129        22   gamma               91    58     0     0     0     0     0     -0.085     -0.136      5.914      5.917      0.000
   130        22   gamma               91    58     0     0     0     0     0     -0.000     -0.026      5.655      5.655      0.000
   131        22   gamma               91    60     0     0     0     0     0     -0.115      0.174     92.277     92.277      0.000
   132        22   gamma               91    60     0     0     0     0     0     -0.143      0.028     69.624     69.625      0.000
   133       113   (rho0)             -91    73     0   166   167     0     0     -0.283     -0.071     94.584     94.588      0.851
   134        22   gamma               91    73     0     0     0     0     0      0.073      0.002      4.442      4.443      0.000
   135        22   gamma               91    74     0     0     0     0     0     -0.014     -0.349    125.627    125.628      0.000
   136        22   gamma               91    74     0     0     0     0     0     -0.245      0.123     57.524     57.525      0.000
   137        22   gamma               91    85     0     0     0     0     0     -0.127      0.132     -0.507      0.540      0.000
   138        22   gamma               91    85     0     0     0     0     0     -0.079      0.174     -1.013      1.030      0.000
   139       211   pi+                 91    86     0     0     0     0     0      0.213      0.161     -1.579      1.608      0.140
   140      -211   pi-                 91    86     0     0     0     0     0     -0.158      0.100     -1.762      1.778      0.140
   141       111   (pi0)              -91    86     0   168   169     0     0      0.057      0.118     -0.263      0.324      0.135
   142        22   gamma               91    89     0     0     0     0     0     -0.027     -0.018    -19.895     19.895      0.000
   143        22   gamma               91    89     0     0     0     0     0      0.028      0.754    -41.966     41.973      0.000
   144        22   gamma               91    96     0     0     0     0     0     -0.083      0.006     -4.054      4.055      0.000
   145        22   gamma               91    96     0     0     0     0     0     -0.311     -0.043     -6.969      6.976      0.000
   146        22   gamma               91    98     0     0     0     0     0     -0.106      0.075     -0.114      0.173      0.000
   147        22   gamma               91    98     0     0     0     0     0     -0.147      0.369     -0.438      0.592      0.000
   148        22   gamma               91   106     0     0     0     0     0      0.298      0.486     37.659     37.663      0.000
   149        22   gamma               91   106     0     0     0     0     0     -0.001     -0.008      0.821      0.821      0.000
   150        22   gamma               91   108     0     0     0     0     0     -0.387     -0.141    115.893    115.894      0.000
   151        22   gamma               91   108     0     0     0     0     0     -0.085     -0.111     37.207     37.208      0.000
   152        22   gamma               91   110     0     0     0     0     0     -0.051     -0.008      2.435      2.436      0.000
   153        22   gamma               91   110     0     0     0     0     0     -0.225      0.022     34.037     34.037      0.000
   154        22   gamma               91   116     0     0     0     0     0     -0.087     -0.044      0.194      0.217      0.000
   155        22   gamma               91   116     0     0     0     0     0     -0.020     -0.098      0.044      0.110      0.000
   156        22   gamma               91   118     0     0     0     0     0     -0.028      0.301      0.743      0.802      0.000
   157        22   gamma               91   118     0     0     0     0     0      0.031      0.128      0.164      0.210      0.000
   158        22   gamma               91   121     0     0     0     0     0     -0.013      0.036   -100.001    100.001      0.000
   159        22   gamma               91   121     0     0     0     0     0     -0.152     -0.070   -941.164    941.164      0.000
   160       211   pi+                 91   122     0     0     0     0     0     -0.083      0.277      9.567      9.573      0.140
   161      -211   pi-                 91   122     0     0     0     0     0     -0.221     -0.104      6.397      6.404      0.140
   162       211   pi+                 91   124     0     0     0     0     0      0.224      0.205      0.048      0.337      0.140
   163      -211   pi-                 91   124     0     0     0     0     0     -0.157      0.074      0.158      0.273      0.140
   164       -13   mu+                 93   125     0     0     0     0     0      0.672     -1.594     -1.638      2.385      0.106
   165        13   mu-                 93   125     0     0     0     0     0      1.022      0.937      0.343      1.432      0.106
   166       211   pi+                 91   133     0     0     0     0     0     -0.500      0.155     65.690     65.692      0.140
   167      -211   pi-                 91   133     0     0     0     0     0      0.217     -0.226     28.894     28.896      0.140
   168        22   gamma               91   141     0     0     0     0     0      0.101      0.072     -0.184      0.222      0.000
   169        22   gamma               91   141     0     0     0     0     0     -0.044      0.046     -0.079      0.102      0.000
                                   Charge sum:  2.000           Momentum sum:      0.000      0.000     -0.000   7000.000   7000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 J/psi decay performed, J/psi in line 38, mother id = 9910441

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   7000.000   7000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   3500.000   3500.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -3500.000   3500.000      0.938
     3        21   (g)                -21     1     0     5     6   101   102      0.000      0.000      5.996      5.996      0.000
     4        21   (g)                -21     2     0     5     6   103   104      0.000      0.000    -33.036     33.036      0.000
     5   9910441   ccbar[3P0(8)]       23     3     4     0     0   101   104     -3.166     -2.365    -32.168     32.558      3.100
     6        21   g                   23     3     4     0     0   103   102      3.166      2.365      5.128      6.474      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000    -27.040     39.032     28.148

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   7000.000   7000.000
     1      2212   (p+)               -12     0     0    26     0     0     0      0.000      0.000   3500.000   3500.000      0.938
     2      2212   (p+)               -12     0     0    27     0     0     0      0.000      0.000  -3500.000   3500.000      0.938
     3        21   (g)                -21     7     0     5     6   101   102      0.000      0.000      5.996      5.996      0.000
     4        21   (g)                -21     8     8     5     6   103   104      0.000      0.000    -33.036     33.036      0.000
     5   9910441   (ccbar[3P0(8)])    -23     3     4     9     9   101   104     -3.166     -2.365    -32.168     32.558      3.100
     6        21   (g)                -23     3     4    10    10   103   102      3.166      2.365      5.128      6.474      0.000
     7        21   (g)                -41    18    18    11     3   101   105      0.000      0.000     17.043     17.043      0.000
     8        21   (g)                -42    14    14     4     4   103   104      0.000     -0.000    -33.036     33.036      0.000
     9   9910441   (ccbar[3P0(8)])    -44     5     5    20    20   101   104     -3.149     -2.395    -32.146     32.536      3.100
    10        21   (g)                -44     6     6    12    13   103   102      3.659      1.480      5.143      6.484      0.000
    11        21   (g)                -43     7     0    17    17   102   105     -0.510      0.915     11.009     11.059      0.000
    12        21   (g)                -51    10     0    15    16   106   102      3.344      0.744      5.123      6.163      0.000
    13        21   (g)                -51    10     0    23    23   103   106      0.315      0.736     -0.769      1.110      0.000
    14        21   (g)                -53    19     0     8     8   103   104      0.000     -0.000    -33.826     33.826      0.000
    15        21   (g)                -51    12     0    21    21   106   107      1.490     -0.188      1.452      2.089      0.000
    16        21   (g)                -51    12     0    24    24   107   102      1.790      1.046      5.050      5.460      0.000
    17        21   (g)                -52    11    11    22    22   102   105     -0.446      0.800      9.630      9.674      0.000
    18        21   (g)                -42    26    26     7     7   101   105     -0.000     -0.000     17.043     17.043      0.000
    19        21   (g)                -41    27    27    25    14   103   108      0.000      0.000    -63.624     63.624      0.000
    20   9910441   (ccbar[3P0(8)])    -44     9     9    28    28   101   104     -3.360     -2.787    -32.126     32.569      3.100
    21        21   (g)                -44    15    15    29    29   106   107      1.488     -0.192      1.448      2.085      0.000
    22        21   (g)                -44    17    17    30    30   102   105     -0.446      0.800      9.625      9.668      0.000
    23        21   (g)                -44    13    13    31    31   103   106      0.309      0.725     -0.775      1.105      0.000
    24        21   (g)                -44    16    16    32    32   107   102      1.789      1.044      5.037      5.446      0.000
    25        21   (g)                -43    19     0    33    33   104   108      0.221      0.410    -29.790     29.794      0.000
    26        21   (g)                -61     1     0    18    18   101   105     -1.705      1.964     16.946     17.144      0.000
    27        21   (g)                -61     2     0    19    19   103   108      0.534     -0.810    -63.541     63.549      0.000
    28   9910441   (ccbar[3P0(8)])    -62    20    20    38    39   101   104     -3.111     -3.173    -32.089     32.543      3.100
    29        21   (g)                -62    21    21    63    63   106   107      1.313      0.009      1.531      2.017      0.000
    30        21   (g)                -62    22    22    61    61   102   105     -1.410      1.910      9.494      9.787      0.000
    31        21   (g)                -62    23    23    64    64   103   106      0.300      0.732     -0.804      1.128      0.000
    32        21   (g)                -62    24    24    62    62   107   102      1.266      1.645      5.038      5.449      0.000
    33        21   (g)                -62    25    25    40     0   104   108      0.471      0.031    -29.765     29.769      0.000
    34      2101   (ud_0)             -63     1     0    43    43     0   101      1.095     -0.265   3208.263   3208.263      0.579
    35         2   (u)                -63     1     0    60    60   105     0      0.609     -1.699    274.677    274.683      0.330
    36         2   (u)                -63     2     0    41    41   108     0     -0.279      0.715    -21.898     21.914      0.330
    37      2101   (ud_0)             -63     2     0    65    65     0   103     -0.256      0.095  -3414.447   3414.447      0.579
    38       443   (J/psi)            -91    28     0   118   119     0     0     -3.104     -3.168    -32.028     32.482      3.097
    39        21   (g)                -91    28     0    40     0   101   104     -0.007     -0.005     -0.060      0.061      0.000
    40        21   (g)                -73    33    39    42    42   101   108      0.464      0.026    -29.826     29.830      0.205
    41         2   (u)                -71    36    36    44    59   108     0     -0.279      0.715    -21.898     21.914      0.330
    42        21   (g)                -71    40    40    44    59   101   108      0.464      0.026    -29.826     29.830      0.205
    43      2101   (ud_0)             -71    34    34    44    59     0   101      1.095     -0.265   3208.263   3208.263      0.579
    44       111   (pi0)              -83    41    43   120   121     0     0      0.166      0.084     -3.415      3.423      0.135
    45       211   pi+                 83    41    43     0     0     0     0     -0.232      0.064    -19.119     19.121      0.140
    46       313   (K*0)              -83    41    43    91    92     0     0      0.570      0.972    -28.560     28.598      0.960
    47      -313   (K*bar0)           -83    41    43    93    94     0     0     -0.051     -0.133      1.451      1.872      1.173
    48      -213   (rho-)             -83    41    43    95    96     0     0     -0.307     -0.009      2.115      2.255      0.720
    49       211   pi+                 83    41    43     0     0     0     0     -0.098     -0.329      0.130      0.393      0.140
    50       111   (pi0)              -83    41    43   122   123     0     0     -0.006      0.212      0.095      0.269      0.135
    51      -211   pi-                 83    41    43     0     0     0     0     -0.378      0.263      0.835      0.964      0.140
    52       211   pi+                 83    41    43     0     0     0     0      0.384     -0.509      2.513      2.596      0.140
    53       221   (eta)              -84    41    43   124   126     0     0      0.367     -0.155     16.306     16.320      0.548
    54      -213   (rho-)             -84    41    43    97    98     0     0     -0.146      0.069     87.540     87.544      0.793
    55       111   (pi0)              -84    41    43   127   128     0     0      0.339     -0.098    105.990    105.991      0.135
    56       213   (rho+)             -84    41    43    99   100     0     0     -0.546      0.442    198.655    198.658      0.850
    57       111   (pi0)              -84    41    43   129   130     0     0      0.713     -0.036    557.157    557.157      0.135
    58       221   (eta)              -84    41    43   131   132     0     0      0.138     -0.224    701.749    701.750      0.548
    59      2112   n0                  84    41    43     0     0     0     0      0.367     -0.137   1533.097   1533.097      0.940
    60         2   (u)                -71    35    35    66    90   105     0      0.609     -1.699    274.677    274.683      0.330
    61        21   (g)                -71    30    30    66    90   102   105     -1.410      1.910      9.494      9.787      0.000
    62        21   (g)                -71    32    32    66    90   107   102      1.266      1.645      5.038      5.449      0.000
    63        21   (g)                -71    29    29    66    90   106   107      1.313      0.009      1.531      2.017      0.000
    64        21   (g)                -71    31    31    66    90   103   106      0.300      0.732     -0.804      1.128      0.000
    65      2101   (ud_0)             -71    37    37    66    90     0   103     -0.256      0.095  -3414.447   3414.447      0.579
    66       211   pi+                 83    60    65     0     0     0     0      0.326     -0.586     44.279     44.285      0.140
    67       111   (pi0)              -83    60    65   133   134     0     0     -0.155      0.332     13.049     13.055      0.135
    68      -211   pi-                 83    60    65     0     0     0     0      0.004     -1.336    145.955    145.961      0.140
    69       113   (rho0)             -83    60    65   101   102     0     0      0.135     -0.085     33.496     33.505      0.733
    70       211   pi+                 83    60    65     0     0     0     0     -0.068      0.098     14.080     14.082      0.140
    71      2112   n0                  83    60    65     0     0     0     0     -0.250      0.763     11.307     11.374      0.940
    72       211   pi+                 83    60    65     0     0     0     0     -0.004     -0.441      4.415      4.439      0.140
    73     -2212   pbar-               83    60    65     0     0     0     0      0.205      0.371     12.014     12.058      0.938
    74      -213   (rho-)             -83    60    65   103   104     0     0     -0.003      1.236      4.653      4.898      0.904
    75       113   (rho0)             -83    60    65   105   106     0     0     -0.050      0.576      2.352      2.501      0.624
    76       111   (pi0)              -83    60    65   135   136     0     0      0.277      0.267      0.859      0.951      0.135
    77       111   (pi0)              -83    60    65   137   138     0     0      0.447     -0.276      2.034      2.105      0.135
    78       221   (eta)              -83    60    65   139   141     0     0      0.462      0.846      0.680      1.301      0.548
    79       213   (rho+)             -83    60    65   107   108     0     0      0.544      0.135      0.615      1.321      1.026
    80       313   (K*0)              -83    60    65   109   110     0     0      0.301      0.668     -0.151      1.227      0.972
    81      -311   (Kbar0)            -83    60    65   111   111     0     0     -0.129     -0.061     -0.487      0.711      0.498
    82       311   (K0)               -84    60    65   112   112     0     0      0.505      0.243    -12.024     12.047      0.498
    83       221   (eta)              -84    60    65   142   144     0     0     -0.767     -0.084    -12.255     12.292      0.548
    84      -321   K-                  84    60    65     0     0     0     0      0.380      0.018    -24.437     24.445      0.494
    85       213   (rho+)             -84    60    65   113   114     0     0     -0.106     -0.071    -57.711     57.719      0.934
    86       111   (pi0)              -84    60    65   145   146     0     0      0.251      0.068    -74.575     74.576      0.135
    87      -211   pi-                 84    60    65     0     0     0     0     -0.079     -0.184    -87.822     87.823      0.140
    88       223   (omega)            -84    60    65   147   149     0     0      0.083     -0.203   -623.354    623.355      0.782
    89      2214   (Delta+)           -84    60    65   115   116     0     0     -0.403      0.152   -900.021    900.023      1.345
    90       223   (omega)            -84    60    65   150   152     0     0     -0.083      0.247  -1621.460   1621.461      0.782
    91       311   (K0)               -91    46     0   117   117     0     0      0.376      0.917    -17.197     17.233      0.498
    92       111   (pi0)              -91    46     0   153   154     0     0      0.194      0.054    -11.363     11.366      0.135
    93      -321   K-                  91    47     0     0     0     0     0     -0.449     -0.284      1.008      1.242      0.494
    94       211   pi+                 91    47     0     0     0     0     0      0.397      0.151      0.443      0.630      0.140
    95      -211   pi-                 91    48     0     0     0     0     0     -0.327      0.197      0.629      0.749      0.140
    96       111   (pi0)              -91    48     0   155   156     0     0      0.020     -0.206      1.485      1.506      0.135
    97      -211   pi-                 91    54     0     0     0     0     0     -0.226      0.371     57.412     57.414      0.140
    98       111   (pi0)              -91    54     0   157   158     0     0      0.081     -0.302     30.128     30.130      0.135
    99       211   pi+                 91    56     0     0     0     0     0     -0.478      0.366    191.729    191.730      0.140
   100       111   (pi0)              -91    56     0   159   160     0     0     -0.068      0.076      6.926      6.929      0.135
   101       211   pi+                 91    69     0     0     0     0     0     -0.196     -0.031     24.323     24.324      0.140
   102      -211   pi-                 91    69     0     0     0     0     0      0.331     -0.054      9.174      9.181      0.140
   103      -211   pi-                 91    74     0     0     0     0     0     -0.009      0.010      0.079      0.161      0.140
   104       111   (pi0)              -91    74     0   161   162     0     0      0.007      1.226      4.574      4.737      0.135
   105       211   pi+                 91    75     0     0     0     0     0      0.091      0.179      1.668      1.686      0.140
   106      -211   pi-                 91    75     0     0     0     0     0     -0.141      0.397      0.683      0.815      0.140
   107       211   pi+                 91    79     0     0     0     0     0      0.063     -0.389      0.095      0.429      0.140
   108       111   (pi0)              -91    79     0   163   164     0     0      0.481      0.525      0.519      0.891      0.135
   109       321   K+                  91    80     0     0     0     0     0      0.218      0.827     -0.094      0.992      0.494
   110      -211   pi-                 91    80     0     0     0     0     0      0.083     -0.159     -0.058      0.234      0.140
   111       310   (K_S0)             -91    81    81   165   166     0     0     -0.129     -0.061     -0.487      0.711      0.498
   112       310   (K_S0)             -91    82    82   167   168     0     0      0.505      0.243    -12.024     12.047      0.498
   113       211   pi+                 91    85     0     0     0     0     0     -0.246     -0.193    -53.721     53.722      0.140
   114       111   (pi0)              -91    85     0   169   170     0     0      0.140      0.123     -3.990      3.996      0.135
   115      2112   n0                  91    89     0     0     0     0     0     -0.189      0.414   -688.867    688.868      0.940
   116       211   pi+                 91    89     0     0     0     0     0     -0.214     -0.262   -211.154    211.154      0.140
   117       130   K_L0                91    91    91     0     0     0     0      0.376      0.917    -17.197     17.233      0.498
   118       -13   mu+                 93    38     0     0     0     0     0      0.013     -0.590    -13.658     13.671      0.106
   119        13   mu-                 93    38     0     0     0     0     0     -3.118     -2.578    -18.371     18.811      0.106
   120        22   gamma               91    44     0     0     0     0     0      0.018      0.049     -0.341      0.345      0.000
   121        22   gamma               91    44     0     0     0     0     0      0.148      0.035     -3.075      3.078      0.000
   122        22   gamma               91    50     0     0     0     0     0      0.029      0.212      0.069      0.225      0.000
   123        22   gamma               91    50     0     0     0     0     0     -0.035     -0.001      0.026      0.043      0.000
   124       211   pi+                 91    53     0     0     0     0     0      0.165     -0.123      5.610      5.615      0.140
   125      -211   pi-                 91    53     0     0     0     0     0      0.130      0.043      2.853      2.860      0.140
   126       111   (pi0)              -91    53     0   171   172     0     0      0.072     -0.075      7.843      7.845      0.135
   127        22   gamma               91    55     0     0     0     0     0      0.050     -0.051     11.543     11.544      0.000
   128        22   gamma               91    55     0     0     0     0     0      0.290     -0.047     94.447     94.447      0.000
   129        22   gamma               91    57     0     0     0     0     0      0.014     -0.017      8.301      8.301      0.000
   130        22   gamma               91    57     0     0     0     0     0      0.699     -0.019    548.856    548.856      0.000
   131        22   gamma               91    58     0     0     0     0     0      0.115     -0.120     54.507     54.507      0.000
   132        22   gamma               91    58     0     0     0     0     0      0.023     -0.104    647.243    647.243      0.000
   133        22   gamma               91    67     0     0     0     0     0     -0.143      0.265     11.926     11.929      0.000
   134        22   gamma               91    67     0     0     0     0     0     -0.012      0.066      1.123      1.125      0.000
   135        22   gamma               91    76     0     0     0     0     0      0.187      0.219      0.740      0.794      0.000
   136        22   gamma               91    76     0     0     0     0     0      0.090      0.049      0.119      0.157      0.000
   137        22   gamma               91    77     0     0     0     0     0      0.401     -0.289      1.860      1.925      0.000
   138        22   gamma               91    77     0     0     0     0     0      0.046      0.013      0.174      0.180      0.000
   139       111   (pi0)              -91    78     0   173   174     0     0      0.143      0.289      0.290      0.454      0.135
   140       111   (pi0)              -91    78     0   175   176     0     0      0.198      0.273      0.048      0.367      0.135
   141       111   (pi0)              -91    78     0   177   178     0     0      0.121      0.284      0.342      0.480      0.135
   142       111   (pi0)              -91    83     0   179   180     0     0     -0.190     -0.007     -5.406      5.411      0.135
   143       111   (pi0)              -91    83     0   181   182     0     0     -0.217      0.021     -3.067      3.078      0.135
   144       111   (pi0)              -91    83     0   183   184     0     0     -0.360     -0.098     -3.782      3.803      0.135
   145        22   gamma               91    86     0     0     0     0     0      0.176      0.008    -33.415     33.416      0.000
   146        22   gamma               91    86     0     0     0     0     0      0.075      0.060    -41.160     41.160      0.000
   147       211   pi+                 91    88     0     0     0     0     0      0.124      0.135   -187.490    187.490      0.140
   148      -211   pi-                 91    88     0     0     0     0     0     -0.116      0.022   -112.263    112.263      0.140
   149       111   (pi0)              -91    88     0   185   186     0     0      0.076     -0.360   -323.602    323.602      0.135
   150       211   pi+                 91    90     0     0     0     0     0     -0.122     -0.046   -776.087    776.087      0.140
   151      -211   pi-                 91    90     0     0     0     0     0     -0.028      0.269   -751.994    751.994      0.140
   152       111   (pi0)              -91    90     0   187   188     0     0      0.067      0.024    -93.380     93.380      0.135
   153        22   gamma               91    92     0     0     0     0     0     -0.005     -0.005     -0.039      0.039      0.000
   154        22   gamma               91    92     0     0     0     0     0      0.199      0.059    -11.324     11.326      0.000
   155        22   gamma               91    96     0     0     0     0     0      0.044     -0.216      1.290      1.308      0.000
   156        22   gamma               91    96     0     0     0     0     0     -0.024      0.010      0.196      0.197      0.000
   157        22   gamma               91    98     0     0     0     0     0     -0.008     -0.198     20.468     20.469      0.000
   158        22   gamma               91    98     0     0     0     0     0      0.089     -0.104      9.659      9.660      0.000
   159        22   gamma               91   100     0     0     0     0     0     -0.022     -0.038      1.299      1.299      0.000
   160        22   gamma               91   100     0     0     0     0     0     -0.046      0.114      5.628      5.629      0.000
   161        22   gamma               91   104     0     0     0     0     0      0.023      0.223      1.033      1.057      0.000
   162        22   gamma               91   104     0     0     0     0     0     -0.016      1.003      3.541      3.680      0.000
   163        22   gamma               91   108     0     0     0     0     0      0.024     -0.000      0.001      0.024      0.000
   164        22   gamma               91   108     0     0     0     0     0      0.457      0.525      0.518      0.868      0.000
   165       111   (pi0)              -91   111     0   189   190     0     0      0.046      0.122     -0.339      0.388      0.135
   166       111   (pi0)              -91   111     0   191   192     0     0     -0.175     -0.183     -0.148      0.323      0.135
   167       211   pi+                 91   112     0     0     0     0     0      0.192      0.319     -6.541      6.553      0.140
   168      -211   pi-                 91   112     0     0     0     0     0      0.314     -0.077     -5.483      5.494      0.140
   169        22   gamma               91   114     0     0     0     0     0      0.022     -0.028     -0.417      0.418      0.000
   170        22   gamma               91   114     0     0     0     0     0      0.118      0.150     -3.573      3.578      0.000
   171        22   gamma               91   126     0     0     0     0     0      0.031      0.039      2.297      2.297      0.000
   172        22   gamma               91   126     0     0     0     0     0      0.040     -0.113      5.546      5.548      0.000
   173        22   gamma               91   139     0     0     0     0     0      0.122      0.141      0.223      0.290      0.000
   174        22   gamma               91   139     0     0     0     0     0      0.022      0.148      0.067      0.164      0.000
   175        22   gamma               91   140     0     0     0     0     0      0.170      0.194      0.090      0.273      0.000
   176        22   gamma               91   140     0     0     0     0     0      0.028      0.080     -0.041      0.094      0.000
   177        22   gamma               91   141     0     0     0     0     0     -0.011      0.069      0.024      0.074      0.000
   178        22   gamma               91   141     0     0     0     0     0      0.132      0.214      0.318      0.406      0.000
   179        22   gamma               91   142     0     0     0     0     0     -0.003      0.039     -1.113      1.113      0.000
   180        22   gamma               91   142     0     0     0     0     0     -0.188     -0.046     -4.293      4.298      0.000
   181        22   gamma               91   143     0     0     0     0     0     -0.159      0.030     -1.342      1.351      0.000
   182        22   gamma               91   143     0     0     0     0     0     -0.058     -0.009     -1.725      1.726      0.000
   183        22   gamma               91   144     0     0     0     0     0     -0.287     -0.034     -3.160      3.173      0.000
   184        22   gamma               91   144     0     0     0     0     0     -0.073     -0.064     -0.622      0.629      0.000
   185        22   gamma               91   149     0     0     0     0     0     -0.023     -0.215   -183.563    183.563      0.000
   186        22   gamma               91   149     0     0     0     0     0      0.099     -0.146   -140.039    140.039      0.000
   187        22   gamma               91   152     0     0     0     0     0      0.076      0.011    -24.253     24.253      0.000
   188        22   gamma               91   152     0     0     0     0     0     -0.010      0.014    -69.127     69.127      0.000
   189        22   gamma               91   165     0     0     0     0     0      0.003     -0.012      0.007      0.014      0.000
   190        22   gamma               91   165     0     0     0     0     0      0.043      0.135     -0.346      0.374      0.000
   191        22   gamma               91   166     0     0     0     0     0     -0.023     -0.093     -0.007      0.096      0.000
   192        22   gamma               91   166     0     0     0     0     0     -0.153     -0.089     -0.141      0.227      0.000
                                   Charge sum:  2.000           Momentum sum:     -0.000     -0.000     -0.000   7000.000   7000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 J/psi decay performed, J/psi in line 370, mother id = 20443

 J/psi decay performed, J/psi in line 912, mother id = 20443

 J/psi decay performed, J/psi in line 265, mother id = 9910441

 J/psi decay performed, J/psi in line 971, mother id = 20443

 J/psi decay performed, J/psi in line 180, mother id = 9900443

 J/psi decay performed, J/psi in line 636, mother id = 445

 J/psi decay performed, J/psi in line 313, mother id = 9900443

 J/psi decay performed, J/psi in line 197, mother id = 445
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  

 Pythia::next(): 1000 events have been generated 
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> ccbar[3S1(1)] g                         401 |         143         10         10 |   6.447e-04  1.167e-04 |
 | g g -> ccbar[3P0(1)] g                         402 |       13681        433        433 |   3.173e-02  1.111e-03 |
 | g g -> ccbar[3P1(1)] g                         403 |       16931        429        429 |   2.723e-02  8.090e-04 |
 | g g -> ccbar[3P2(1)] g                         404 |       24450        572        572 |   3.866e-02  9.994e-04 |
 | q g -> ccbar[3P0(1)] q                         405 |        7800         92         92 |   5.781e-03  3.065e-04 |
 | q g -> ccbar[3P1(1)] q                         406 |        3436         78         78 |   5.093e-03  3.445e-04 |
 | q g -> ccbar[3P2(1)] q                         407 |        6793        120        120 |   7.651e-03  3.984e-04 |
 | q qbar -> ccbar[3P0(1)] g                      408 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> ccbar[3P1(1)] g                      409 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> ccbar[3P2(1)] g                      410 |           1          0          0 |   0.000e+00  0.000e+00 |
 | g g -> ccbar[3S1(8)] g                         411 |        2835         83         83 |   6.449e-03  3.894e-04 |
 | g g -> ccbar[1S0(8)] g                         412 |        1505         50         50 |   3.169e-03  3.011e-04 |
 | g g -> ccbar[3PJ(8)] g                         413 |        1989         87         87 |   5.593e-03  4.753e-04 |
 | q g -> ccbar[3S1(8)] q                         414 |         595         23         23 |   1.505e-03  1.919e-04 |
 | q g -> ccbar[1S0(8)] q                         415 |         427          9          9 |   5.952e-04  1.108e-04 |
 | q g -> ccbar[3PJ(8)] q                         416 |         917         14         14 |   1.088e-03  1.579e-04 |
 | q qbar -> ccbar[3S1(8)] g                      417 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> ccbar[1S0(8)] g                      418 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> ccbar[3PJ(8)] g                      419 |           0          0          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |       81505       2000       2000 |   1.352e-01  1.953e-03 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |    146   Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated                           | 
 |      6   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:05       pTHat of hard subprocess

        3.48*10^ 2      3                                                                                               
        3.36*10^ 2      X                                                                                               
        3.24*10^ 2      X                                                                                               
        3.12*10^ 2      X3                                                                                              
        3.00*10^ 2      XX                                                                                              
        2.88*10^ 2      XX                                                                                              
        2.76*10^ 2      XX                                                                                              
        2.64*10^ 2     3XX                                                                                              
        2.52*10^ 2     XXX                                                                                              
        2.40*10^ 2     XXX83                                                                                            
        2.28*10^ 2     XXXXX                                                                                            
        2.16*10^ 2     XXXXX                                                                                            
        2.04*10^ 2     XXXXX                                                                                            
        1.92*10^ 2     XXXXX                                                                                            
        1.80*10^ 2     XXXXX                                                                                            
        1.68*10^ 2     XXXXX                                                                                            
        1.56*10^ 2     XXXXX5                                                                                           
        1.44*10^ 2     XXXXXX                                                                                           
        1.32*10^ 2     XXXXXX                                                                                           
        1.20*10^ 2     XXXXXX                                                                                           
        1.08*10^ 2    3XXXXXX                                                                                           
        0.96*10^ 2    XXXXXXX6                                                                                          
        0.84*10^ 2    XXXXXXXX4                                                                                         
        0.72*10^ 2    XXXXXXXXX                                                                                         
        0.60*10^ 2    XXXXXXXXX5                                                                                        
        0.48*10^ 2    XXXXXXXXXX                                                                                        
        0.36*10^ 2   9XXXXXXXXXX25                                                                                      
        0.24*10^ 2   XXXXXXXXXXXXX52                                                                                    
        0.12*10^ 2   XXXXXXXXXXXXXXX8635111121 3 2   1 1                                                                

          Contents                                                                                                      
            *10^ 2  0002332210000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0395303359752311000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0595937101747085973611112103020001010000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^ 0  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-1  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        2000    Mean =  3.3197e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.0000e+03    Rms  =  1.7512e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+01


  2013-09-20 16:05       pT of J/Psi

        7.50*10^ 1     6                                                                                                
        7.25*10^ 1     X4                                                                                               
        7.00*10^ 1     XX                                                                                               
        6.75*10^ 1     XX                                                                                               
        6.50*10^ 1     XX6                                                                                              
        6.25*10^ 1     XXX4                                                                                             
        6.00*10^ 1     XXXX                                                                                             
        5.75*10^ 1     XXXX                                                                                             
        5.50*10^ 1     XXXX                                                                                             
        5.25*10^ 1     XXXX 8                                                                                           
        5.00*10^ 1    6XXXX X                                                                                           
        4.75*10^ 1    XXXXX4X                                                                                           
        4.50*10^ 1    XXXXXXX6                                                                                          
        4.25*10^ 1    XXXXXXXX                                                                                          
        4.00*10^ 1    XXXXXXXX                                                                                          
        3.75*10^ 1    XXXXXXXX                                                                                          
        3.50*10^ 1    XXXXXXXX                                                                                          
        3.25*10^ 1    XXXXXXXX4                                                                                         
        3.00*10^ 1   2XXXXXXXXX                                                                                         
        2.75*10^ 1   XXXXXXXXXX                                                                                         
        2.50*10^ 1   XXXXXXXXXX                                                                                         
        2.25*10^ 1   XXXXXXXXXX                                                                                         
        2.00*10^ 1   XXXXXXXXXXX                                                                                        
        1.75*10^ 1   XXXXXXXXXXX                                                                                        
        1.50*10^ 1  2XXXXXXXXXXX22                                                                                      
        1.25*10^ 1  XXXXXXXXXXXXXX4                                                                                     
        1.00*10^ 1  XXXXXXXXXXXXXXX                                                                                     
        0.75*10^ 1  XXXXXXXXXXXXXXX88                                                                                   
        0.50*10^ 1  XXXXXXXXXXXXXXXXX 2    2                                                                            
        0.25*10^ 1  XXXXXXXXXXXXXXXXX8X 844X44      4 4                                                                 

          Contents                                                                                                      
            *10^ 1  1247766454321110000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  3894141624103317723021131100000010100000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^ 0  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-1  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =         620    Mean =  3.5024e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  6.2000e+02    Rms  =  2.2078e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+01
pythia8-8.1.86.orig/examples/outref/out020000644000175000017500000037742012357054710016376 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:00:13    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with pbar- at a CM energy of 1.960e+03 GeV         |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | f fbar -> gamma*/Z0                            221 |   2.186e-05 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   40.89 mb               | 
 |                                                                  | 
 |    pT0 =  2.12 gives sigmaInteraction =  136.80 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 1960.000 |    14000.000    10.00000             | 
 | Beams:idB                                     |                    -2212 |         2212                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:mHatMax                            |                120.00000 |     -1.00000                         | 
 | PhaseSpace:mHatMin                            |                 80.00000 |      4.00000         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | WeakSingleBoson:ffbar2gmZ                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  9.800e+02, e =  9.800e+02, m =  9.383e-01.
 Beam B: id =  -2212, pz = -9.800e+02, e =  9.800e+02, m =  9.383e-01.

 In 1: id =    1, x =  5.616e-03, pdf =  7.757e-01 at Q2 =  8.254e+03.
 In 2: id =   -1, x =  3.826e-01, pdf =  8.111e-02 at same Q2.

 Subprocess f fbar -> gamma*/Z0 with code 221 is 2 -> 1.
 It has sHat =  8.254e+03.
     alphaEM =  7.817e-03,  alphaS =  1.351e-01    at Q2 =  8.254e+03.

 Impact parameter b =  2.761e-01 gives enhancement factor =  2.827e+00.
 Max pT scale for MPI =  1.960e+03, ISR =  1.960e+03, FSR =  1.960e+03.
 Number of MPI =     7, ISR =     6, FSRproc =    39, FSRreson =    17.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0     4     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         1   (d)                -21     1     0     5     0   101     0      0.000      0.000      5.503      5.503      0.000
     4        -1   (dbar)             -21     2     0     5     0     0   101      0.000      0.000   -374.961    374.961      0.000
     5        23   (Z0)               -22     3     4     6     7     0     0      0.000      0.000   -369.458    380.465     90.854
     6         4   c                   23     5     0     0     0   102     0     40.598     -5.065   -267.166    270.285      1.500
     7        -4   cbar                23     5     0     0     0     0   102    -40.598      5.065   -102.292    110.180      1.500
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000   -369.458    380.465     90.854

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0   198     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0   199     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         1   (d)                -21   198   198     5     0   101     0      0.000      0.000      5.503      5.503      0.000
     4        -1   (dbar)             -21   199   199     5     0     0   101      0.000      0.000   -374.961    374.961      0.000
     5        23   (Z0)               -22     3     4   200   200     0     0      0.000      0.000   -369.458    380.465     90.854
     6        21   (g)                -31    10    10     8     9   104   103      0.000      0.000      2.874      2.874      0.000
     7        21   (g)                -31    11     0     8     9   105   104      0.000      0.000    -64.663     64.663      0.000
     8        21   (g)                -33     6     7    12    12   106   103      4.205     -1.656      0.964      4.621      0.000
     9        21   (g)                -33     6     7    13    13   105   106     -4.205      1.656    -62.753     62.916      0.000
    10        21   (g)                -42    33    33     6     6   104   103      0.000     -0.000      2.874      2.874      0.000
    11        21   (g)                -41    35    35    14     7   105   107     -0.000      0.000   -109.594    109.594      0.000
    12        21   (g)                -44     8     8    22    23   106   103      4.261     -1.722      0.910      4.685      0.000
    13        21   (g)                -44     9     9    24    24   105   106     -2.297     -0.617    -64.829     64.872      0.000
    14        21   (g)                -43    11     0    31    32   104   107     -1.963      2.338    -42.802     42.911      0.000
    15        21   (g)                -31    25    25    17    18   108   109      0.000      0.000    145.678    145.678      0.000
    16        21   (g)                -31    26     0    17    18   109   110      0.000      0.000     -1.138      1.138      0.000
    17        21   (g)                -33    15    16    19    20   108   111     -2.131      1.064    144.411    144.431      0.000
    18        21   (g)                -33    15    16    21    21   111   110      2.131     -1.064      0.128      2.385      0.000
    19        21   (g)                -51    17     0    27    27   108   112     -2.160     -1.017    120.302    120.325      0.000
    20        21   (g)                -51    17     0    29    29   112   111      0.114      2.039     24.114     24.201      0.000
    21        21   (g)                -52    18    18    28    28   111   110      2.046     -1.022      0.123      2.290      0.000
    22        21   (g)                -51    12     0    36    36   113   103      2.756      0.289      1.279      3.052      0.000
    23        21   (g)                -51    12     0    39    39   106   113      1.453     -2.025     -1.824      3.088      0.000
    24        21   (g)                -52    13    13    37    37   105   106     -2.246     -0.603    -63.374     63.416      0.000
    25        21   (g)                -42   226   226    15    15   108   109     -0.000      0.000    145.678    145.678      0.000
    26        21   (g)                -41   227   227    30    16   114   110      0.000     -0.000     -3.743      3.743      0.000
    27        21   (g)                -44    19    19    66    66   108   112     -2.151     -1.033    119.424    119.448      0.000
    28        21   (g)                -44    21    21    79    80   111   110      2.835     -2.465      2.145      4.326      0.000
    29        21   (g)                -44    20    20    64    65   112   111      0.146      1.981     22.675     22.762      0.000
    30        21   (g)                -43    26     0   231   231   114   109     -0.829      1.517     -2.310      2.885      0.000
    31        21   (g)                -51    14     0    38    38   115   107     -2.845      3.087    -37.223     37.459      0.000
    32        21   (g)                -51    14     0    40    40   104   115      0.881     -0.748     -5.454      5.576      0.000
    33        21   (g)                -53    34     0    10    10   104   103      0.000     -0.000      2.998      2.998      0.000
    34        21   (g)                -41    92    92    41    33   104   116     -0.000     -0.000     14.290     14.290      0.000
    35        21   (g)                -42    93     0    11    11   105   107      0.000      0.000   -109.594    109.594      0.000
    36        21   (g)                -44    22    22    70    71   113   103      3.263      1.395      0.722      3.621      0.000
    37        21   (g)                -44    24    24    95    95   105   106     -2.241     -0.592    -62.787     62.830      0.000
    38        21   (g)                -44    31    31    58    59   115   107     -2.817      3.147    -37.585     37.821      0.000
    39        21   (g)                -44    23    23    75    75   106   113      1.601     -1.702     -1.519      2.787      0.000
    40        21   (g)                -44    32    32    60    60   104   115      0.895     -0.717     -5.356      5.478      0.000
    41        21   (g)                -43    34     0    72    72   103   116     -0.701     -1.531     11.222     11.347      0.000
    42         2   (u)                -31   239   239    44    45   117     0      0.000      0.000    247.809    247.809      0.000
    43        21   (g)                -31   240   240    44    45   118   117      0.000      0.000     -1.093      1.093      0.000
    44         2   (u)                -33    42    43    46    47   119     0      1.498     -0.634    247.199    247.205      0.330
    45        21   (g)                -33    42    43    48    48   118   119     -1.498      0.634     -0.484      1.697      0.000
    46         2   (u)                -51    44     0   137   138   120     0      0.154      0.544    197.004    197.005      0.330
    47        21   (g)                -51    44     0    63    63   119   120      1.326     -1.170     50.190     50.221      0.000
    48        21   (g)                -52    45    45    61    62   118   119     -1.480      0.626     -0.478      1.676      0.000
    49        21   (g)                -31    53     0    51    52   121   122      0.000      0.000     38.712     38.712      0.000
    50        21   (g)                -31    54    54    51    52   122   123      0.000      0.000     -1.426      1.426      0.000
    51        21   (g)                -33    49    50    55    55   121   124      0.423     -1.394     38.322     38.350      0.000
    52        21   (g)                -33    49    50    56    56   124   123     -0.423      1.394     -1.037      1.788      0.000
    53        21   (g)                -41   249   249    57    49   125   122     -0.000      0.000    244.566    244.566      0.000
    54        21   (g)                -42   250   250    50    50   122   123      0.000     -0.000     -1.426      1.426      0.000
    55        21   (g)                -44    51    51    67    68   121   124     -0.323     -0.168     38.769     38.771      0.000
    56        21   (g)                -44    52    52    69    69   124   123     -0.431      1.406     -1.043      1.803      0.000
    57        21   (g)                -43    53     0   161   161   125   121      0.753     -1.238    205.414    205.419      0.000
    58        21   (g)                -51    38     0    87    87   126   107     -2.039      2.004    -15.618     15.877      0.000
    59        21   (g)                -51    38     0    85    86   115   126     -0.456      0.886    -23.892     23.913      0.000
    60        21   (g)                -52    40    40    98    98   104   115      0.574     -0.460     -3.431      3.509      0.000
    61        21   (g)                -51    48     0   127   127   118   127     -1.000      1.652      0.261      1.948      0.000
    62        21   (g)                -51    48     0   125   126   127   119     -0.429     -1.071      1.188      1.656      0.000
    63        21   (g)                -52    47    47   139   139   119   120      1.275     -1.125     48.263     48.293      0.000
    64        21   (g)                -51    29     0    81    81   128   111      0.223      1.712     46.220     46.253      0.000
    65        21   (g)                -51    29     0   150   151   112   128     -0.546      0.044      2.481      2.541      0.000
    66        21   (g)                -52    27    27   152   152   108   112     -1.683     -0.808     93.398     93.416      0.000
    67        21   (g)                -51    55     0    76    77   121   129      0.792     -0.629      5.223      5.320      0.000
    68        21   (g)                -51    55     0    78    78   129   124     -1.132      0.519     33.503     33.526      0.000
    69        21   (g)                -52    56    56    84    84   124   123     -0.413      1.347     -1.000      1.728      0.000
    70        21   (g)                -51    36     0    73    74   113   130      1.398      0.859      2.036      2.615      0.000
    71        21   (g)                -51    36     0   101   101   130   103      1.809      0.414     -0.426      1.904      0.000
    72        21   (g)                -52    41    41    99    99   103   116     -0.646     -1.410     10.334     10.449      0.000
    73        21   (g)                -51    70     0    94    94   131   130      2.102      0.182      1.733      2.730      0.000
    74        21   (g)                -51    70     0   102   102   113   131     -0.362      0.314     -0.022      0.480      0.000
    75        21   (g)                -52    39    39    97    97   106   113      1.259     -1.338     -1.194      2.191      0.000
    76        21   (g)                -51    67     0   153   154   121   132      0.406     -0.909     16.781     16.811      0.000
    77        21   (g)                -51    67     0   155   155   132   129     -0.056      0.482      1.503      1.579      0.000
    78        21   (g)                -52    68    68    82    83   129   124     -0.691      0.317     20.442     20.456      0.000
    79        21   (g)                -51    28     0   119   120   133   110      2.977     -1.540      1.813      3.811      0.000
    80        21   (g)                -51    28     0   121   121   111   133     -0.134     -0.864      1.984      2.168      0.000
    81        21   (g)                -52    64    64   156   157   128   111      0.215      1.651     44.569     44.600      0.000
    82        21   (g)                -51    78     0   144   145   129   134     -0.765      0.441     20.468     20.487      0.000
    83        21   (g)                -51    78     0   146   146   134   124      0.038     -0.006     -0.114      0.120      0.000
    84        21   (g)                -52    69    69   252   252   124   123     -0.377      1.229     -0.912      1.576      0.000
    85         1   (d)                -51    59     0   100   100   115     0      0.301      0.139     -7.170      7.185      0.330
    86        -1   (dbar)             -51    59     0   103   103     0   126     -1.533      1.509    -22.663     22.767      0.330
    87        21   (g)                -52    58    58    96    96   126   107     -1.264      1.241     -9.677      9.838      0.000
    88         1   (d)                -31   262   262    90    91   135     0      0.000      0.000     56.111     56.111      0.000
    89        21   (g)                -31   263   263    90    91   136   137      0.000      0.000     -5.099      5.099      0.000
    90         1   (d)                -33    88    89   264   264   136     0      0.691     -0.455     56.073     56.080      0.330
    91        21   (g)                -33    88    89   265   265   135   137     -0.691      0.455     -5.062      5.129      0.000
    92        21   (g)                -42   105     0    34    34   104   116      0.000     -0.000     14.290     14.290      0.000
    93        21   (g)                -41   106   106   104    35   105   138     -0.000      0.000   -123.927    123.927      0.000
    94        21   (g)                -44    73    73   107   107   131   130      2.105      0.180      1.737      2.735      0.000
    95        21   (g)                -44    37    37   108   108   105   106     -1.840     -0.805    -62.847     62.879      0.000
    96        21   (g)                -44    87    87   109   109   126   107     -1.201      1.208     -9.692      9.840      0.000
    97        21   (g)                -44    75    75   110   110   106   113      1.269     -1.344     -1.190      2.198      0.000
    98        21   (g)                -44    60    60   111   111   104   115      0.596     -0.471     -3.432      3.515      0.000
    99        21   (g)                -44    72    72   112   112   103   116     -0.645     -1.410     10.325     10.441      0.000
   100         1   (d)                -44    85    85   113   113   115     0      0.347      0.114     -7.176      7.192      0.330
   101        21   (g)                -44    71    71   114   114   130   103      1.817      0.410     -0.422      1.910      0.000
   102        21   (g)                -44    74    74   115   115   113   131     -0.361      0.313     -0.024      0.478      0.000
   103        -1   (dbar)             -44    86    86   116   116     0   126     -1.388      1.432    -22.690     22.780      0.330
   104        21   (g)                -43    93     0   117   117   107   138     -0.699      0.371    -14.226     14.248      0.000
   105        21   (g)                -41   201   201   118    92   104   139      0.000      0.000     63.915     63.915      0.000
   106        21   (g)                -42   202   202    93    93   105   138     -0.000      0.000   -123.927    123.927      0.000
   107        21   (g)                -44    94    94   122   123   131   130      2.039      0.081      1.771      2.702      0.000
   108        21   (g)                -44    95    95   130   130   105   106     -1.840     -0.805    -62.886     62.918      0.000
   109        21   (g)                -44    96    96   174   175   126   107     -1.203      1.205     -9.682      9.830      0.000
   110        21   (g)                -44    97    97   128   129   106   113      1.255     -1.366     -1.201      2.210      0.000
   111        21   (g)                -44    98    98   207   207   104   115      0.594     -0.473     -3.433      3.516      0.000
   112        21   (g)                -44    99    99   136   136   103   116     -0.951     -1.867     10.278     10.489      0.000
   113         1   (d)                -44   100   100   209   209   115     0      0.346      0.114     -7.167      7.184      0.330
   114        21   (g)                -44   101   101   180   181   130   103      1.795      0.378     -0.387      1.875      0.000
   115        21   (g)                -44   102   102   124   124   113   131     -0.367      0.303     -0.023      0.477      0.000
   116        -1   (dbar)             -44   103   103   212   212     0   126     -1.389      1.430    -22.676     22.766      0.330
   117        21   (g)                -44   104   104   176   176   107   138     -0.700      0.370    -14.227     14.249      0.000
   118        21   (g)                -43   105     0   134   135   116   139      0.421      0.630     49.621     49.626      0.000
   119        21   (g)                -51    79     0   229   229   140   110      1.751     -1.415      0.711      2.361      0.000
   120        21   (g)                -51    79     0   179   179   133   140      1.185     -0.394      1.719      2.124      0.000
   121        21   (g)                -52    80    80   158   158   111   133     -0.093     -0.595      1.367      1.494      0.000
   122        21   (g)                -51   107     0   203   203   141   130     -0.031     -0.363      0.516      0.631      0.000
   123        21   (g)                -51   107     0   188   188   131   141      1.872      0.608      1.243      2.328      0.000
   124        21   (g)                -52   115   115   186   187   113   131     -0.169      0.140     -0.010      0.220      0.000
   125        21   (g)                -51    62     0   244   244   142   119      0.100     -0.008      1.076      1.081      0.000
   126        21   (g)                -51    62     0   162   163   127   142     -0.764     -0.674      0.173      1.033      0.000
   127        21   (g)                -52    61    61   164   164   118   127     -0.765      1.263      0.199      1.490      0.000
   128        21   (g)                -51   110     0   131   132   143   113      0.493      0.317     -1.616      1.719      0.000
   129        21   (g)                -51   110     0   133   133   106   143      0.707     -1.706     -1.428      2.335      0.000
   130        21   (g)                -52   108   108   204   204   105   106     -1.786     -0.782    -61.042     61.073      0.000
   131        21   (g)                -51   128     0   173   173   144   113      0.259      0.457     -0.972      1.105      0.000
   132        21   (g)                -51   128     0   171   172   143   144      0.599     -1.022     -1.381      1.820      0.000
   133        21   (g)                -52   129   129   216   216   106   143      0.342     -0.825     -0.691      1.129      0.000
   134        21   (g)                -51   118     0   165   166   145   139      0.007      0.320     49.282     49.283      0.000
   135        21   (g)                -51   118     0   167   167   116   145      0.299      0.084      1.579      1.609      0.000
   136        21   (g)                -52   112   112   182   182   103   116     -0.836     -1.642      9.037      9.223      0.000
   137         2   (u)                -51    46     0   241   241   146     0      0.769      0.415    113.210    113.214      0.330
   138        21   (g)                -51    46     0   149   149   120   146     -0.449     -0.017     90.056     90.057      0.000
   139        21   (g)                -52    63    63   147   148   119   120      1.110     -0.979     42.001     42.027      0.000
   140        21   (g)                -31   266   266   142   143   148   149      0.000      0.000      7.354      7.354      0.000
   141         1   (d)                -31   267   267   142   143   147     0      0.000      0.000     -0.075      0.075      0.000
   142        21   (g)                -33   140   141   268   268   147   149     -0.585      0.123      5.346      5.379      0.000
   143         1   (d)                -33   140   141   269   269   148     0      0.585     -0.123      1.933      2.050      0.330
   144        21   (g)                -51    82     0   168   169   129   150     -0.655      0.873     16.528     16.564      0.000
   145        21   (g)                -51    82     0   170   170   150   134     -0.103     -0.433      3.919      3.945      0.000
   146        21   (g)                -52    83    83   256   256   134   124      0.031     -0.005     -0.093      0.099      0.000
   147         3   (s)                -51   139     0   243   243   119     0      0.209     -0.004     18.089     18.097      0.500
   148        -3   (sbar)             -51   139     0   247   247     0   120      0.773     -0.979     49.481     49.499      0.500
   149        21   (g)                -52   138   138   246   246   120   146     -0.322     -0.012     64.488     64.488      0.000
   150        -3   (sbar)             -51    65     0   232   232     0   128     -0.185     -0.217      6.832      6.856      0.500
   151         3   (s)                -51    65     0   197   197   112     0     -0.585      0.154      8.067      8.105      0.500
   152        21   (g)                -52    66    66   195   196   108   112     -1.459     -0.700     80.980     80.996      0.000
   153        21   (g)                -51    76     0   159   160   121   152     -0.166     -0.623     12.940     12.956      0.000
   154        21   (g)                -51    76     0   258   258   152   132      0.554     -0.134      4.313      4.351      0.000
   155        21   (g)                -52    77    77   189   190   132   129     -0.038      0.331      1.030      1.082      0.000
   156        21   (g)                -51    81     0   230   230   128   153      0.519      0.429     19.749     19.760      0.000
   157        21   (g)                -51    81     0   236   236   153   111     -0.311      1.176     24.928     24.958      0.000
   158        21   (g)                -52   121   121   177   178   111   133     -0.085     -0.548      1.259      1.376      0.000
   159        21   (g)                -51   153     0   251   251   154   152     -0.100     -0.088      0.762      0.773      0.000
   160        21   (g)                -51   153     0   259   259   121   154      0.111     -0.826     60.472     60.478      0.000
   161        21   (g)                -52    57    57   253   253   125   121      0.576     -0.947    157.120    157.124      0.000
   162        21   (g)                -51   126     0   245   245   155   142     -1.016     -0.152      0.482      1.134      0.000
   163        21   (g)                -51   126     0   248   248   127   155      0.041     -0.174     -0.254      0.310      0.000
   164        21   (g)                -52   127   127   242   242   118   127     -0.554      0.914      0.144      1.079      0.000
   165        21   (g)                -51   134     0   214   214   156   139     -0.062     -0.336     13.478     13.482      0.000
   166        21   (g)                -51   134     0   219   219   145   156      0.169      0.684     36.332     36.339      0.000
   167        21   (g)                -52   135   135   218   218   116   145      0.199      0.056      1.052      1.072      0.000
   168        21   (g)                -51   144     0   191   191   129   157     -0.630      0.547     18.442     18.461      0.000
   169        21   (g)                -51   144     0   260   260   157   150     -0.081      0.090      0.221      0.252      0.000
   170        21   (g)                -52   145   145   257   257   150   134     -0.047     -0.197      1.784      1.795      0.000
   171        21   (g)                -51   132     0   217   217   143   158     -0.009     -0.097     -1.057      1.061      0.000
   172        21   (g)                -51   132     0   220   220   158   144      0.733     -0.706     -0.791      1.289      0.000
   173        21   (g)                -52   131   131   206   206   144   113      0.135      0.238     -0.506      0.575      0.000
   174        21   (g)                -51   109     0   205   205   126   159     -0.217      0.308     -6.596      6.607      0.000
   175        21   (g)                -51   109     0   221   221   159   107     -1.301      1.064     -9.482      9.629      0.000
   176        21   (g)                -52   117   117   213   213   107   138     -0.385      0.204     -7.831      7.843      0.000
   177        21   (g)                -51   158     0   233   233   111   160      0.620     -0.935      1.748      2.076      0.000
   178        21   (g)                -51   158     0   237   237   160   133     -0.016      0.157      0.512      0.536      0.000
   179        21   (g)                -52   120   120   234   234   133   140      0.495     -0.165      0.718      0.888      0.000
   180        21   (g)                -51   114     0   192   193   130   161      1.900      0.138     -0.289      1.927      0.000
   181        21   (g)                -51   114     0   185   185   161   103     -0.150      0.152      0.386      0.441      0.000
   182        21   (g)                -52   136   136   183   184   103   116     -0.792     -1.554      8.554      8.730      0.000
   183        21   (g)                -51   182     0   208   208   162   116      0.165     -0.138      1.270      1.288      0.000
   184        21   (g)                -51   182     0   223   223   103   162     -1.039     -1.333      7.495      7.683      0.000
   185        21   (g)                -52   181   181   194   194   161   103     -0.068      0.069      0.174      0.199      0.000
   186        21   (g)                -51   124     0   211   211   113   163      0.484     -0.139      0.043      0.506      0.000
   187        21   (g)                -51   124     0   224   224   163   131      0.223      0.563      0.529      0.804      0.000
   188        21   (g)                -52   123   123   215   215   131   141      0.996      0.323      0.661      1.238      0.000
   189         2   (u)                -51   155     0   255   255   132     0     -0.307      0.423      8.283      8.306      0.330
   190        -2   (ubar)             -51   155     0   261   261     0   129     -0.041      0.177      1.815      1.854      0.330
   191        21   (g)                -52   168   168   254   254   129   157     -0.320      0.278      9.374      9.384      0.000
   192        21   (g)                -51   180     0   210   210   130   164      0.168     -0.010     -0.302      0.346      0.000
   193        21   (g)                -51   180     0   225   225   164   161      1.690      0.191      0.121      1.705      0.000
   194        21   (g)                -52   185   185   222   222   161   103     -0.026      0.026      0.066      0.075      0.000
   195        21   (g)                -51   152     0   228   228   108   165     -0.372     -0.576     33.829     33.836      0.000
   196        21   (g)                -51   152     0   238   238   165   112     -1.143     -0.094     47.052     47.066      0.000
   197         3   (s)                -52   151   151   235   235   112     0     -0.529      0.123      8.166      8.199      0.500
   198         1   (d)                -61     1     0     3     3   101     0      0.554      0.553      5.474      5.530      0.000
   199        -1   (dbar)             -61     2     0     4     4     0   101     -0.368     -1.837   -374.969    374.974      0.000
   200        23   (Z0)               -62     5     5   274   275     0     0      0.187     -1.284   -369.496    380.504     90.854
   201        21   (g)                -61     1     0   105   105   104   101      1.859      0.234     63.899     63.926      0.000
   202        21   (g)                -61     2     0   106   106   101   136     -1.296      0.418   -123.911    123.918      0.000
   203        21   (g)                -62   122   122   455   455   141   130     -0.015     -0.361      0.516      0.630      0.000
   204        21   (g)                -62   130   130   463   463   101   106     -2.424     -0.575    -60.999     61.050      0.000
   205        21   (g)                -62   174   174   341     0   126   159     -0.286      0.330     -6.591      6.605      0.000
   206        21   (g)                -62   173   173   459   459   144   113      0.130      0.240     -0.509      0.577      0.000
   207        21   (g)                -62   111   111   495   495   104   115      0.559     -0.461     -3.444      3.520      0.000
   208        21   (g)                -62   183   183   342     0   162   116      0.202     -0.134      1.267      1.290      0.000
   209         1   (d)                -62   113   113   496   496   115     0      0.272      0.138     -7.173      7.187      0.330
   210        21   (g)                -62   192   192   469   469   130   164      0.165     -0.009     -0.305      0.347      0.000
   211        21   (g)                -62   186   186   458   458   113   163      0.490     -0.137      0.033      0.510      0.000
   212        -1   (dbar)             -62   116   116   341     0     0   126     -1.625      1.507    -22.646     22.757      0.330
   213        21   (g)                -62   176   176   418   418   107   136     -0.467      0.230     -7.823      7.840      0.000
   214        21   (g)                -62   165   165   464   464   156   101      0.330     -0.286     13.475     13.482      0.000
   215        21   (g)                -62   188   188   456   456   131   141      1.020      0.328      0.641      1.249      0.000
   216        21   (g)                -62   133   133   462   462   106   143      0.339     -0.821     -0.697      1.129      0.000
   217        21   (g)                -62   171   171   461   461   143   158     -0.020     -0.093     -1.056      1.061      0.000
   218        21   (g)                -62   167   167   342     0   116   145      0.230      0.060      1.047      1.074      0.000
   219        21   (g)                -62   166   166   465   465   145   156      1.226      0.817     36.319     36.349      0.000
   220        21   (g)                -62   172   172   460   460   158   144      0.729     -0.701     -0.806      1.293      0.000
   221        21   (g)                -62   175   175   419   419   159   107     -1.399      1.097     -9.455      9.620      0.000
   222        21   (g)                -62   194   194   343     0   161   103     -0.024      0.026      0.066      0.075      0.000
   223        21   (g)                -62   184   184   343     0   103   162     -0.819     -1.305      7.514      7.670      0.000
   224        21   (g)                -62   187   187   457   457   163   131      0.241      0.566      0.524      0.808      0.000
   225        21   (g)                -62   193   193   468   468   164   161      1.708      0.197      0.088      1.722      0.000
   226        21   (g)                -61     1     0    25    25   108   109      2.322     -0.574    146.028    146.048      0.000
   227        21   (g)                -61     2     0    26    26   114   110      1.677     -0.099     -3.559      3.936      0.000
   228        21   (g)                -62   195   195   328     0   108   121      0.168     -0.709     33.837     33.845      0.000
   229        21   (g)                -62   119   119   436   436   140   134      2.152     -1.444      1.150      2.835      0.000
   230        21   (g)                -62   156   156   356   356   128   153      0.838      0.350     19.904     19.925      0.000
   231        21   (g)                -62    30    30   376   376   114   124      0.335      1.447     -2.378      2.804      0.000
   232        -3   (sbar)             -62   150   150   358   358     0   152     -0.071     -0.244      6.811      6.834      0.500
   233        21   (g)                -62   177   177   439   439   111   157      0.726     -0.947      1.905      2.248      0.000
   234        21   (g)                -62   179   179   437   437   133   140      0.548     -0.170      0.833      1.011      0.000
   235         3   (s)                -62   197   197   327     0   112     0     -0.393      0.091      8.071      8.096      0.500
   236        21   (g)                -62   157   157   355   355   153   147      0.092      1.077     24.908     24.932      0.000
   237        21   (g)                -62   178   178   331     0   160   133     -0.002      0.155      0.508      0.532      0.000
   238        21   (g)                -62   196   196   499   499   165   120     -0.394     -0.279     46.919     46.922      0.000
   239         2   (u)                -61     1     0    42    42   108     0     -1.033      1.464    248.162    248.168      0.000
   240        21   (g)                -61     2     0    43    43   137   108     -0.324     -0.211     -1.057      1.126      0.000
   241         2   (u)                -62   137   137   494   494   137     0      0.297      1.083    113.217    113.223      0.330
   242        21   (g)                -62   164   164   374   374   118   155     -0.695      0.828      0.151      1.092      0.000
   243         3   (s)                -62   147   147   371   371   119     0      0.132      0.102     18.085     18.092      0.500
   244        21   (g)                -62   125   125   339     0   142   128      0.095     -0.002      1.064      1.068      0.000
   245        21   (g)                -62   162   162   373   373   155   154     -1.116     -0.209      0.657      1.312      0.000
   246        21   (g)                -62   149   149   500   500   120   129     -0.591      0.369     64.628     64.631      0.000
   247        -3   (sbar)             -62   148   148   345   345     0   109      0.565     -0.689     49.536     49.546      0.500
   248        21   (g)                -62   163   163   332     0   127   135     -0.043     -0.228     -0.233      0.329      0.000
   249        21   (g)                -61     1     0    53    53   123   123     -1.377     -1.727    244.120    244.130      0.000
   250        21   (g)                -61     2     0    54    54   122   122      2.046      0.020     -0.688      2.159      0.000
   251        21   (g)                -62   159   159   338     0   154   150     -0.095     -0.093      0.691      0.703      0.000
   252        21   (g)                -62    84    84   375   375   124   118      1.408      1.246     -0.525      1.952      0.000
   253        21   (g)                -62   161   161   498   498   125   165     -0.308     -2.059    157.238    157.252      0.000
   254        21   (g)                -62   191   191   327     0   129   112     -0.365      0.214      9.133      9.142      0.000
   255         2   (u)                -62   189   189   340     0   132     0     -0.336      0.366      8.058      8.080      0.330
   256        21   (g)                -62   146   146   332     0   134   127      0.169     -0.004     -0.021      0.170      0.000
   257        21   (g)                -62   170   170   338     0   150   119     -0.049     -0.209      1.747      1.760      0.000
   258        21   (g)                -62   154   154   339     0   152   142      0.554     -0.167      4.713      4.748      0.000
   259        21   (g)                -62   160   160   328     0   121   125     -0.225     -1.254     60.433     60.447      0.000
   260        21   (g)                -62   169   169   331     0   157   160     -0.060      0.088      0.172      0.202      0.000
   261        -2   (ubar)             -62   190   190   440   440     0   111     -0.024      0.165      1.794      1.832      0.330
   262         1   (d)                -61     1     0    88    88   137     0     -1.914     -0.738     56.233     56.271      0.000
   263        21   (g)                -61     2     0    89    89   136   137     -0.334     -0.373     -5.082      5.107      0.000
   264         1   (d)                -62    90    90   417   417   136     0     -1.222     -1.193     56.199     56.226      0.330
   265        21   (g)                -62    91    91   434   434   135   110     -1.026      0.082     -5.048      5.151      0.000
   266        21   (g)                -61     1     0   140   140   148   108     -0.057      0.474      7.992      8.006      0.000
   267         1   (d)                -61     2     0   141   141   108     0     -0.044      0.695      1.279      1.457      0.000
   268        21   (g)                -62   142   142   340     0   147   132     -0.641      0.665      6.801      6.864      0.000
   269         1   (d)                -62   143   143   364   364   148     0      0.540      0.504      2.470      2.599      0.330
   270         2   (u)                -63     1     0   344   344   109     0     -0.023      0.273      7.782      7.794      0.330
   271        -1   (dbar)             -63     1     0   365   365     0   148     -0.333      0.042    197.866    197.866      0.330
   272     -2203   (uu_1bar)          -63     2     0   433   433   110     0     -1.104      1.173   -461.573    461.576      0.771
   273        -1   (dbar)             -63     2     0   377   377     0   114     -0.254      0.213     -7.995      8.009      0.330
   274         4   (c)                -23   200     0   276   277   102     0     40.730     -5.977   -267.193    270.350      1.500
   275        -4   (cbar)             -23   200     0   278   278     0   102    -40.543      4.693   -102.302    110.154      1.500
   276         4   (c)                -51   274     0   282   283   171     0      8.956    -10.722   -127.181    127.955      1.500
   277        21   (g)                -51   274     0   281   281   102   171     29.002      5.066   -146.993    149.912      0.000
   278        -4   (cbar)             -52   275   275   279   280     0   102    -37.771      4.373    -95.322    102.637      1.500
   279        -4   (cbar)             -51   278     0   294   295     0   174    -32.518      0.298    -80.951     87.252      1.500
   280        21   (g)                -51   278     0   291   292   174   102     -4.630      4.183    -17.531     18.609      0.000
   281        21   (g)                -52   277   277   284   284   102   171     28.379      4.957   -143.832    146.688      0.000
   282         4   (c)                -51   276     0   287   287   176     0      7.097    -10.207   -111.174    111.877      1.500
   283        21   (g)                -51   276     0   285   286   171   176      5.328      0.091    -33.590     34.010      0.000
   284        21   (g)                -52   281   281   293   293   102   171     24.909      4.351   -126.249    128.757      0.000
   285         2   (u)                -51   283     0   305   305   171     0      3.691     -0.931    -19.721     20.087      0.330
   286        -2   (ubar)             -51   283     0   288   289     0   176      2.182      0.194    -22.683     22.791      0.330
   287         4   (c)                -52   282   282   290   290   176     0      6.553     -9.380   -102.359    103.008      1.500
   288        -2   (ubar)             -51   286     0   297   298     0   177      0.459     -0.270    -17.266     17.277      0.330
   289        21   (g)                -51   286     0   299   299   177   176      2.731     -1.079    -21.504     21.703      0.000
   290         4   (c)                -52   287   287   348   348   176     0      5.545     -7.837    -86.273     86.819      1.500
   291        21   (g)                -51   280     0   296   296   174   178     -4.067      3.616    -12.826     13.933      0.000
   292        21   (g)                -51   280     0   300   301   178   102      0.019      0.669     -7.657      7.686      0.000
   293        21   (g)                -52   284   284   302   302   102   171     24.327      4.249   -123.298    125.746      0.000
   294        -4   (cbar)             -51   279     0   323   323     0   179    -30.736     -0.032    -75.677     81.695      1.500
   295        21   (g)                -51   279     0   315   316   179   174     -2.111      0.624     -6.316      6.688      0.000
   296        21   (g)                -52   291   291   317   317   174   178     -3.737      3.323    -11.785     12.802      0.000
   297        -2   (ubar)             -51   288     0   314   314     0   180      1.649     -1.027    -29.250     29.316      0.330
   298        21   (g)                -51   288     0   312   313   180   177      0.702      0.010     -2.918      3.001      0.000
   299        21   (g)                -52   289   289   330     0   177   176      0.838     -0.331     -6.602      6.663      0.000
   300        21   (g)                -51   292     0   326   326   178   181      1.652      0.356    -13.455     13.561      0.000
   301        21   (g)                -51   292     0   306   307   181   102     -0.071      0.585     -2.115      2.195      0.000
   302        21   (g)                -52   293   293   303   304   102   171     22.766      3.977   -115.384    117.676      0.000
   303        21   (g)                -51   302     0   308   308   102   182     18.386      2.471    -92.068     93.919      0.000
   304        21   (g)                -51   302     0   318   319   182   171      4.811      1.379    -25.628     26.112      0.000
   305         2   (u)                -52   285   285   335     0   171     0      3.260     -0.804    -17.409     17.733      0.330
   306        21   (g)                -51   301     0   309   310   181   183      0.935      0.959     -7.322      7.444      0.000
   307        21   (g)                -51   301     0   311   311   183   102      0.114     -0.224     -0.403      0.475      0.000
   308        21   (g)                -52   303   303   320   320   102   182     17.265      2.320    -86.458     88.195      0.000
   309        21   (g)                -51   306     0   336     0   181   184      1.043      0.464     -7.237      7.327      0.000
   310        21   (g)                -51   306     0   334     0   184   183     -0.009      0.302     -0.435      0.529      0.000
   311        21   (g)                -52   307   307   334     0   183   102      0.015     -0.030     -0.053      0.063      0.000
   312        21   (g)                -51   298     0   330     0   185   177      0.438     -0.114     -1.370      1.443      0.000
   313        21   (g)                -51   298     0   329     0   180   185      0.871     -0.270    -12.661     12.694      0.000
   314        -2   (ubar)             -52   297   297   329     0     0   180      1.042     -0.633    -18.137     18.181      0.330
   315        21   (g)                -51   295     0   321   322   179   186     -2.700      1.097     -8.572      9.054      0.000
   316        21   (g)                -51   295     0   333     0   186   174     -0.942      0.888     -2.572      2.880      0.000
   317        21   (g)                -52   296   296   324   325   174   178     -2.206      1.961     -6.956      7.556      0.000
   318        21   (g)                -51   304     0   335     0   187   171      0.511      0.005     -3.461      3.498      0.000
   319        21   (g)                -51   304     0   393   393   182   187     11.160      2.296    -56.522     57.659      0.000
   320        21   (g)                -52   308   308   394   394   102   182     10.405      1.398    -52.103     53.150      0.000
   321        21   (g)                -51   315     0   399   399   188   186     -2.065      0.745     -7.420      7.738      0.000
   322        21   (g)                -51   315     0   337     0   179   188     -3.174      0.322     -7.354      8.016      0.000
   323        -4   (cbar)             -52   294   294   337     0     0   179    -28.198     -0.001    -69.476     74.995      1.500
   324        21   (g)                -51   317     0   333     0   174   189     -1.447      1.643     -4.472      4.979      0.000
   325        21   (g)                -51   317     0   397   397   189   178     -0.695      0.332     -3.003      3.100      0.000
   326        21   (g)                -52   300   300   336     0   178   181      1.588      0.342    -12.936     13.038      0.000
   327         3   (s)                -73   235   254   501   501   129     0     -0.758      0.305     17.203     17.238      0.741
   328        21   (g)                -73   228   259   497   497   108   125     -0.057     -1.963     94.270     94.291      0.393
   329        -2   (ubar)             -73   313   314   350   350     0   185      1.913     -0.903    -30.798     30.875      0.506
   330        21   (g)                -73   299   312   349   349   185   176      1.276     -0.446     -7.972      8.106      0.574
   331        21   (g)                -73   237   260   438   438   157   133     -0.062      0.244      0.680      0.734      0.113
   332        21   (g)                -73   248   256   435   435   134   135      0.126     -0.232     -0.254      0.499      0.339
   333        21   (g)                -73   316   324   398   398   186   189     -2.389      2.531     -7.044      7.859      0.162
   334        21   (g)                -73   310   311   395   395   184   102      0.006      0.272     -0.488      0.592      0.195
   335         2   (u)                -73   305   318   392   392   187     0      3.772     -0.799    -20.869     21.231      0.598
   336        21   (g)                -73   309   326   396   396   178   184      2.632      0.806    -20.174     20.365      0.416
   337        -4   (cbar)             -73   322   323   400   400     0   188    -31.372      0.320    -76.829     83.011      1.936
   338        21   (g)                -73   251   257   372   372   154   119     -0.144     -0.302      2.438      2.464      0.122
   339        21   (g)                -73   244   258   357   357   152   128      0.649     -0.169      5.776      5.816      0.098
   340         2   (u)                -73   255   268   354   354   147     0     -0.977      1.031     14.859     14.944      0.708
   341        -1   (dbar)             -73   205   212   420   420     0   159     -1.911      1.837    -29.237     29.362      0.548
   342        21   (g)                -73   208   218   466   466   162   145      0.432     -0.073      2.314      2.364      0.200
   343        21   (g)                -73   222   223   467   467   161   162     -0.842     -1.279      7.580      7.745      0.430
   344         2   (u)                -71   270   270   346   347   109     0     -0.023      0.273      7.782      7.794      0.330
   345        -3   (sbar)             -71   247   247   346   347     0   109      0.565     -0.689     49.536     49.546      0.500
   346       213   (rho+)             -82   344   345   515   516     0     0      0.332     -0.623     42.402     42.413      0.667
   347       311   (K0)               -82   344   345   517   517     0     0      0.210      0.208     14.916     14.928      0.498
   348         4   (c)                -71   290   290   351   353   176     0      5.545     -7.837    -86.273     86.819      1.500
   349        21   (g)                -71   330   330   351   353   185   176      1.276     -0.446     -7.972      8.106      0.574
   350        -2   (ubar)             -71   329   329   351   353     0   185      1.913     -0.903    -30.798     30.875      0.506
   351       433   (D*_s+)            -83   348   350   620   621     0     0      5.497     -7.814    -87.432     87.978      2.112
   352      -311   (Kbar0)            -84   348   350   518   518     0     0      2.072     -0.963    -17.066     17.225      0.498
   353      -213   (rho-)             -84   348   350   519   520     0     0      1.166     -0.409    -20.545     20.596      0.760
   354         2   (u)                -71   340   340   359   363   147     0     -0.977      1.031     14.859     14.944      0.708
   355        21   (g)                -71   236   236   359   363   153   147      0.092      1.077     24.908     24.932      0.000
   356        21   (g)                -71   230   230   359   363   128   153      0.838      0.350     19.904     19.925      0.000
   357        21   (g)                -71   339   339   359   363   152   128      0.649     -0.169      5.776      5.816      0.098
   358        -3   (sbar)             -71   232   232   359   363     0   152     -0.071     -0.244      6.811      6.834      0.500
   359       211   pi+                 83   354   358     0     0     0     0     -0.152     -0.015      1.882      1.893      0.140
   360      -211   pi-                 84   354   358     0     0     0     0      0.141      1.282     26.538     26.570      0.140
   361       331   (eta')             -84   354   358   622   624     0     0     -0.143      0.005      7.303      7.367      0.958
   362       323   (K*+)              -84   354   358   521   522     0     0      0.149      0.985     19.837     19.881      0.877
   363       333   (phi)              -84   354   358   625   626     0     0      0.535     -0.213     16.699     16.739      1.005
   364         1   (d)                -71   269   269   366   370   148     0      0.540      0.504      2.470      2.599      0.330
   365        -1   (dbar)             -71   271   271   366   370     0   148     -0.333      0.042    197.866    197.866      0.330
   366      -211   pi-                 83   364   365     0     0     0     0      0.023      0.248      0.794      0.844      0.140
   367       213   (rho+)             -84   364   365   523   524     0     0      0.171     -0.017     14.144     14.196      1.200
   368       311   (K0)               -84   364   365   525   525     0     0      0.367     -0.077     19.317     19.328      0.498
   369      -313   (K*bar0)           -84   364   365   526   527     0     0     -0.259      0.232     37.482     37.495      0.894
   370       113   (rho0)             -84   364   365   528   529     0     0     -0.095      0.161    128.598    128.604      1.205
   371         3   (s)                -71   243   243   378   391   119     0      0.132      0.102     18.085     18.092      0.500
   372        21   (g)                -71   338   338   378   391   154   119     -0.144     -0.302      2.438      2.464      0.122
   373        21   (g)                -71   245   245   378   391   155   154     -1.116     -0.209      0.657      1.312      0.000
   374        21   (g)                -71   242   242   378   391   118   155     -0.695      0.828      0.151      1.092      0.000
   375        21   (g)                -71   252   252   378   391   124   118      1.408      1.246     -0.525      1.952      0.000
   376        21   (g)                -71   231   231   378   391   114   124      0.335      1.447     -2.378      2.804      0.000
   377        -1   (dbar)             -71   273   273   378   391     0   114     -0.254      0.213     -7.995      8.009      0.330
   378      -313   (K*bar0)           -83   371   377   530   531     0     0     -0.175     -0.206      5.412      5.492      0.894
   379       111   (pi0)              -83   371   377   627   628     0     0      0.037     -0.122      0.707      0.731      0.135
   380       311   (K0)               -83   371   377   532   532     0     0     -0.142     -0.056      3.312      3.353      0.498
   381      -311   (Kbar0)            -83   371   377   533   533     0     0      0.017      0.655      7.016      7.064      0.498
   382       111   (pi0)              -83   371   377   629   630     0     0      0.233     -0.220      0.724      0.804      0.135
   383      -211   pi-                 83   371   377     0     0     0     0     -0.477     -0.630      3.469      3.561      0.140
   384       211   pi+                 84   371   377     0     0     0     0     -0.489      0.738      0.156      0.910      0.140
   385       223   (omega)            -84   371   377   631   633     0     0      0.546      0.485     -0.019      1.072      0.785
   386       313   (K*0)              -84   371   377   534   535     0     0      0.054      0.540     -0.147      1.000      0.828
   387      -313   (K*bar0)           -84   371   377   536   537     0     0     -0.590      0.664     -1.380      1.877      0.912
   388       311   (K0)               -84   371   377   538   538     0     0     -0.142     -0.030     -0.437      0.678      0.498
   389      -311   (Kbar0)            -84   371   377   539   539     0     0      0.544      0.384     -0.385      0.916      0.498
   390      -211   pi-                 84   371   377     0     0     0     0      0.111      0.424     -6.007      6.025      0.140
   391       213   (rho+)             -84   371   377   540   541     0     0      0.139      0.699     -1.988      2.242      0.752
   392         2   (u)                -71   335   335   401   416   187     0      3.772     -0.799    -20.869     21.231      0.598
   393        21   (g)                -71   319   319   401   416   182   187     11.160      2.296    -56.522     57.659      0.000
   394        21   (g)                -71   320   320   401   416   102   182     10.405      1.398    -52.103     53.150      0.000
   395        21   (g)                -71   334   334   401   416   184   102      0.006      0.272     -0.488      0.592      0.195
   396        21   (g)                -71   336   336   401   416   178   184      2.632      0.806    -20.174     20.365      0.416
   397        21   (g)                -71   325   325   401   416   189   178     -0.695      0.332     -3.003      3.100      0.000
   398        21   (g)                -71   333   333   401   416   186   189     -2.389      2.531     -7.044      7.859      0.162
   399        21   (g)                -71   321   321   401   416   188   186     -2.065      0.745     -7.420      7.738      0.000
   400        -4   (cbar)             -71   337   337   401   416     0   188    -31.372      0.320    -76.829     83.011      1.936
   401       211   pi+                 83   392   400     0     0     0     0      2.680      0.181    -13.568     13.832      0.140
   402      -211   pi-                 83   392   400     0     0     0     0      0.825     -0.293     -6.657      6.716      0.140
   403       113   (rho0)             -83   392   400   542   543     0     0      8.562      1.036    -40.190     41.114      0.823
   404       213   (rho+)             -83   392   400   544   545     0     0      2.425      0.411    -12.542     12.802      0.726
   405      -211   pi-                 83   392   400     0     0     0     0      0.322     -0.239     -3.088      3.117      0.140
   406       213   (rho+)             -83   392   400   546   547     0     0      7.785      1.983    -42.535     43.294      0.778
   407       111   (pi0)              -83   392   400   634   635     0     0      1.774      0.147     -7.405      7.617      0.135
   408      -213   (rho-)             -83   392   400   548   549     0     0      2.211      0.328    -11.242     11.500      0.935
   409       111   (pi0)              -84   392   400   636   637     0     0     -0.093      0.023     -3.338      3.342      0.135
   410       221   (eta)              -84   392   400   638   639     0     0      0.256      0.133     -2.397      2.476      0.548
   411      3122   (Lambda0)          -84   392   400   640   641     0     0      0.516      0.868     -8.680      8.810      1.116
   412     -3312   (Xibar+)           -84   392   400   642   643     0     0     -2.260      1.708     -9.277      9.789      1.322
   413      -313   (K*bar0)           -84   392   400   550   551     0     0     -2.267     -0.058     -5.267      5.839      1.097
   414      -211   pi-                 84   392   400     0     0     0     0     -2.787      1.036     -8.164      8.689      0.140
   415      2212   p+                  84   392   400     0     0     0     0     -3.912      0.490    -10.279     11.049      0.938
   416     -4122   (Lambda_cbar-)     -84   392   400   644   649     0     0    -24.587      0.148    -59.823     64.719      2.286
   417         1   (d)                -71   264   264   421   432   136     0     -1.222     -1.193     56.199     56.226      0.330
   418        21   (g)                -71   213   213   421   432   107   136     -0.467      0.230     -7.823      7.840      0.000
   419        21   (g)                -71   221   221   421   432   159   107     -1.399      1.097     -9.455      9.620      0.000
   420        -1   (dbar)             -71   341   341   421   432     0   159     -1.911      1.837    -29.237     29.362      0.548
   421       113   (rho0)             -83   417   420   552   553     0     0     -0.503     -0.287     19.030     19.054      0.746
   422      -211   pi-                 83   417   420     0     0     0     0     -0.188      0.254      7.063      7.072      0.140
   423       211   pi+                 83   417   420     0     0     0     0      0.040     -0.566     16.371     16.382      0.140
   424       223   (omega)            -83   417   420   650   652     0     0     -0.181     -0.360      6.781      6.838      0.783
   425      -211   pi-                 83   417   420     0     0     0     0     -0.413     -0.060      4.071      4.095      0.140
   426      2214   (Delta+)           -84   417   420   554   555     0     0      0.256     -0.069      2.033      2.403      1.255
   427      -211   pi-                 84   417   420     0     0     0     0      0.066      0.065      0.501      0.529      0.140
   428     -2114   (Deltabar0)        -84   417   420   556   557     0     0     -1.185      0.458     -6.746      6.989      1.311
   429       111   (pi0)              -84   417   420   653   655     0     0     -1.394      0.869    -19.805     19.873      0.135
   430       113   (rho0)             -84   417   420   558   559     0     0     -0.928      1.063    -13.221     13.353      1.224
   431       211   pi+                 84   417   420     0     0     0     0     -0.328      0.233     -4.107      4.129      0.140
   432       111   (pi0)              -84   417   420   656   657     0     0     -0.240      0.371     -2.287      2.333      0.135
   433     -2203   (uu_1bar)          -71   272   272   441   454   110     0     -1.104      1.173   -461.573    461.576      0.771
   434        21   (g)                -71   265   265   441   454   135   110     -1.026      0.082     -5.048      5.151      0.000
   435        21   (g)                -71   332   332   441   454   134   135      0.126     -0.232     -0.254      0.499      0.339
   436        21   (g)                -71   229   229   441   454   140   134      2.152     -1.444      1.150      2.835      0.000
   437        21   (g)                -71   234   234   441   454   133   140      0.548     -0.170      0.833      1.011      0.000
   438        21   (g)                -71   331   331   441   454   157   133     -0.062      0.244      0.680      0.734      0.113
   439        21   (g)                -71   233   233   441   454   111   157      0.726     -0.947      1.905      2.248      0.000
   440        -2   (ubar)             -71   261   261   441   454     0   111     -0.024      0.165      1.794      1.832      0.330
   441       221   (eta)              -83   433   440   658   660     0     0     -0.099      0.326   -111.317    111.319      0.548
   442     -2224   (Deltabar--)       -83   433   440   560   561     0     0     -0.331      0.638   -194.198    194.204      1.412
   443       111   (pi0)              -83   433   440   661   663     0     0     -0.391     -0.079    -38.203     38.205      0.135
   444       331   (eta')             -83   433   440   664   666     0     0     -0.725     -0.130    -95.729     95.737      0.958
   445       111   (pi0)              -83   433   440   667   668     0     0     -0.232      0.765     -3.811      3.896      0.135
   446       211   pi+                 83   433   440     0     0     0     0     -0.227     -0.292    -15.662     15.667      0.140
   447      -211   pi-                 84   433   440     0     0     0     0      0.437      0.357     -5.664      5.694      0.140
   448       213   (rho+)             -84   433   440   562   563     0     0     -0.507     -1.090     -1.065      1.763      0.728
   449      -211   pi-                 84   433   440     0     0     0     0      0.406      0.202     -0.420      0.634      0.140
   450      2224   (Delta++)          -84   433   440   564   565     0     0      0.709     -0.147      0.142      1.423      1.217
   451     -2214   (Deltabar-)        -84   433   440   566   567     0     0      0.960     -0.903      2.029      2.757      1.322
   452      -211   pi-                 84   433   440     0     0     0     0      0.224     -0.106     -0.276      0.396      0.140
   453       213   (rho+)             -84   433   440   568   569     0     0      0.804     -0.685      2.554      2.842      0.661
   454      -213   (rho-)             -84   433   440   570   571     0     0      0.309      0.012      1.108      1.349      0.705
   455        21   (g)                -71   203   203   470   493   141   130     -0.015     -0.361      0.516      0.630      0.000
   456        21   (g)                -71   215   215   470   493   131   141      1.020      0.328      0.641      1.249      0.000
   457        21   (g)                -71   224   224   470   493   163   131      0.241      0.566      0.524      0.808      0.000
   458        21   (g)                -71   211   211   470   493   113   163      0.490     -0.137      0.033      0.510      0.000
   459        21   (g)                -71   206   206   470   493   144   113      0.130      0.240     -0.509      0.577      0.000
   460        21   (g)                -71   220   220   470   493   158   144      0.729     -0.701     -0.806      1.293      0.000
   461        21   (g)                -71   217   217   470   493   143   158     -0.020     -0.093     -1.056      1.061      0.000
   462        21   (g)                -71   216   216   470   493   106   143      0.339     -0.821     -0.697      1.129      0.000
   463        21   (g)                -71   204   204   470   493   101   106     -2.424     -0.575    -60.999     61.050      0.000
   464        21   (g)                -71   214   214   470   493   156   101      0.330     -0.286     13.475     13.482      0.000
   465        21   (g)                -71   219   219   470   493   145   156      1.226      0.817     36.319     36.349      0.000
   466        21   (g)                -71   342   342   470   493   162   145      0.432     -0.073      2.314      2.364      0.200
   467        21   (g)                -71   343   343   470   493   161   162     -0.842     -1.279      7.580      7.745      0.430
   468        21   (g)                -71   225   225   470   493   164   161      1.708      0.197      0.088      1.722      0.000
   469        21   (g)                -71   210   210   470   493   130   164      0.165     -0.009     -0.305      0.347      0.000
   470       223   (omega)            -83   455   469   669   671     0     0     -0.077      0.251     -0.144      0.847      0.792
   471      -213   (rho-)             -83   455   469   572   573     0     0     -0.504      0.184     -0.043      0.908      0.731
   472       113   (rho0)             -83   455   469   574   575     0     0      0.175     -0.348      2.874      3.028      0.871
   473       213   (rho+)             -83   455   469   576   577     0     0      0.594      0.412     16.047     16.078      0.686
   474       221   (eta)              -83   455   469   672   674     0     0      0.787      0.020     13.914     13.947      0.548
   475       313   (K*0)              -83   455   469   578   579     0     0      0.048     -0.224     12.840     12.874      0.898
   476      -313   (K*bar0)           -83   455   469   580   581     0     0     -0.011     -0.318      2.429      2.602      0.878
   477      -213   (rho-)             -83   455   469   582   583     0     0      0.328      0.179      5.643      5.705      0.752
   478      2212   p+                  83   455   469     0     0     0     0     -0.335     -0.619      3.833      4.008      0.938
   479       211   pi+                 84   455   469     0     0     0     0      0.826     -0.303     -0.020      0.891      0.140
   480     -2224   (Deltabar--)       -84   455   469   584   585     0     0     -0.068      0.414      1.455      1.955      1.237
   481       221   (eta)              -84   455   469   675   676     0     0      2.143     -0.280     -0.279      2.247      0.548
   482       213   (rho+)             -84   455   469   586   587     0     0      0.066     -0.309      0.288      0.895      0.786
   483      -213   (rho-)             -84   455   469   588   589     0     0     -0.007      0.230     -0.520      0.952      0.764
   484       111   (pi0)              -84   455   469   677   678     0     0      0.981      0.192      0.263      1.042      0.135
   485       113   (rho0)             -84   455   469   590   591     0     0      0.315     -0.612     -2.911      3.123      0.895
   486       213   (rho+)             -84   455   469   592   593     0     0     -0.627     -0.082     -5.005      5.122      0.883
   487      -211   pi-                 84   455   469     0     0     0     0      0.408     -0.287     -3.931      3.965      0.140
   488       221   (eta)              -84   455   469   679   680     0     0     -0.003     -0.020     -7.279      7.299      0.548
   489       211   pi+                 84   455   469     0     0     0     0     -0.741     -0.454     -7.795      7.845      0.140
   490       313   (K*0)              -84   455   469   594   595     0     0     -0.001      0.148    -10.423     10.462      0.901
   491      3122   (Lambda0)          -84   455   469   681   682     0     0     -0.786     -0.128    -12.596     12.670      1.116
   492     -2112   nbar0               84   455   469     0     0     0     0     -0.338     -0.242     -9.819      9.872      0.940
   493       113   (rho0)             -84   455   469   596   597     0     0      0.336      0.007     -1.703      1.977      0.946
   494         2   (u)                -71   241   241   502   514   137     0      0.297      1.083    113.217    113.223      0.330
   495        21   (g)                -71   207   207   502   514   104   115      0.559     -0.461     -3.444      3.520      0.000
   496         1   (d)                -71   209   209   502   514   115     0      0.272      0.138     -7.173      7.187      0.330
   497        21   (g)                -71   328   328   502   514   108   125     -0.057     -1.963     94.270     94.291      0.393
   498        21   (g)                -71   253   253   502   514   125   165     -0.308     -2.059    157.238    157.252      0.000
   499        21   (g)                -71   238   238   502   514   165   120     -0.394     -0.279     46.919     46.922      0.000
   500        21   (g)                -71   246   246   502   514   120   129     -0.591      0.369     64.628     64.631      0.000
   501         3   (s)                -71   327   327   502   514   129     0     -0.758      0.305     17.203     17.238      0.741
   502       323   (K*+)              -85   494   501   598   599     0     0      0.573      0.821     93.569     93.578      0.924
   503      -311   (Kbar0)            -86   494   501   600   600     0     0     -0.812      0.955     27.226     27.260      0.498
   504      2112   n0                  86   494   501     0     0     0     0     -0.751     -1.635    145.971    145.985      0.940
   505     -2112   nbar0               86   494   501     0     0     0     0     -0.325     -0.678     45.893     45.909      0.940
   506      -213   (rho-)             -86   494   501   601   602     0     0      0.536     -0.174     67.453     67.459      0.700
   507      -213   (rho-)             -83   494   501   603   604     0     0      0.637     -0.153     -6.372      6.492      1.059
   508       211   pi+                 83   494   501     0     0     0     0      0.024      0.337     -1.045      1.107      0.140
   509       223   (omega)            -83   494   501   683   685     0     0     -0.045     -0.352     -1.698      1.904      0.785
   510      -213   (rho-)             -83   494   501   605   606     0     0      0.171     -0.123     -0.538      0.902      0.693
   511       323   (K*+)              -83   494   501   607   608     0     0     -0.077      0.132      0.081      0.900      0.884
   512       331   (eta')             -84   494   501   686   687     0     0      0.214     -0.090      1.480      1.778      0.959
   513      -313   (K*bar0)           -84   494   501   609   610     0     0     -0.007     -0.037      3.057      3.181      0.878
   514      3212   (Sigma0)           -84   494   501   688   689     0     0     -1.116     -1.869    107.781    107.809      1.193
   515       211   pi+                 91   346     0     0     0     0     0      0.264     -0.335     36.064     36.067      0.140
   516       111   (pi0)              -91   346     0   690   691     0     0      0.068     -0.288      6.338      6.346      0.135
   517       310   (K_S0)             -91   347   347   692   693     0     0      0.210      0.208     14.916     14.928      0.498
   518       310   (K_S0)             -91   352   352   694   695     0     0      2.072     -0.963    -17.066     17.225      0.498
   519      -211   pi-                 91   353     0     0     0     0     0      0.792     -0.051    -15.915     15.936      0.140
   520       111   (pi0)              -91   353     0   696   697     0     0      0.374     -0.357     -4.629      4.660      0.135
   521       311   (K0)               -91   362     0   611   611     0     0     -0.109      0.792     16.221     16.248      0.498
   522       211   pi+                 91   362     0     0     0     0     0      0.258      0.192      3.616      3.633      0.140
   523       211   pi+                 91   367     0     0     0     0     0     -0.242     -0.364     10.466     10.476      0.140
   524       111   (pi0)              -91   367     0   698   699     0     0      0.413      0.347      3.678      3.720      0.135
   525       130   K_L0                91   368   368     0     0     0     0      0.367     -0.077     19.317     19.328      0.498
   526      -321   K-                  91   369     0     0     0     0     0     -0.070     -0.140     20.997     21.003      0.494
   527       211   pi+                 91   369     0     0     0     0     0     -0.189      0.372     16.485     16.491      0.140
   528       211   pi+                 91   370     0     0     0     0     0     -0.414     -0.319     85.236     85.238      0.140
   529      -211   pi-                 91   370     0     0     0     0     0      0.319      0.480     43.362     43.366      0.140
   530      -311   (Kbar0)            -91   378     0   612   612     0     0     -0.037      0.152      3.319      3.360      0.498
   531       111   (pi0)              -91   378     0   700   701     0     0     -0.138     -0.358      2.093      2.132      0.135
   532       130   K_L0                91   380   380     0     0     0     0     -0.142     -0.056      3.312      3.353      0.498
   533       310   (K_S0)             -91   381   381   702   703     0     0      0.017      0.655      7.016      7.064      0.498
   534       311   (K0)               -91   386     0   613   613     0     0     -0.120      0.145     -0.131      0.548      0.498
   535       111   (pi0)              -91   386     0   704   705     0     0      0.174      0.395     -0.015      0.452      0.135
   536      -321   K-                  91   387     0     0     0     0     0     -0.654      0.735     -1.142      1.586      0.494
   537       211   pi+                 91   387     0     0     0     0     0      0.063     -0.071     -0.238      0.292      0.140
   538       310   (K_S0)             -91   388   388   706   707     0     0     -0.142     -0.030     -0.437      0.678      0.498
   539       130   K_L0                91   389   389     0     0     0     0      0.544      0.384     -0.385      0.916      0.498
   540       211   pi+                 91   391     0     0     0     0     0      0.315      0.655     -1.805      1.951      0.140
   541       111   (pi0)              -91   391     0   708   709     0     0     -0.176      0.044     -0.183      0.291      0.135
   542       211   pi+                 91   403     0     0     0     0     0      4.724      0.206    -21.338     21.857      0.140
   543      -211   pi-                 91   403     0     0     0     0     0      3.838      0.830    -18.852     19.257      0.140
   544       211   pi+                 91   404     0     0     0     0     0      2.226      0.273    -10.285     10.528      0.140
   545       111   (pi0)              -91   404     0   710   711     0     0      0.200      0.139     -2.257      2.274      0.135
   546       211   pi+                 91   406     0     0     0     0     0      0.448      0.214     -3.196      3.238      0.140
   547       111   (pi0)              -91   406     0   712   713     0     0      7.337      1.769    -39.339     40.057      0.135
   548      -211   pi-                 91   408     0     0     0     0     0      0.936     -0.136     -3.078      3.223      0.140
   549       111   (pi0)              -91   408     0   714   715     0     0      1.275      0.464     -8.164      8.277      0.135
   550      -321   K-                  91   413     0     0     0     0     0     -0.438      0.138     -1.400      1.554      0.494
   551       211   pi+                 91   413     0     0     0     0     0     -1.829     -0.197     -3.867      4.285      0.140
   552       211   pi+                 91   421     0     0     0     0     0     -0.050      0.180      7.978      7.982      0.140
   553      -211   pi-                 91   421     0     0     0     0     0     -0.453     -0.467     11.052     11.072      0.140
   554      2112   n0                  91   426     0     0     0     0     0      0.071      0.105      1.790      2.026      0.940
   555       211   pi+                 91   426     0     0     0     0     0      0.185     -0.174      0.242      0.378      0.140
   556     -2112   nbar0               91   428     0     0     0     0     0     -1.252      0.457     -5.596      5.829      0.940
   557       111   (pi0)              -91   428     0   716   717     0     0      0.067      0.001     -1.150      1.160      0.135
   558       211   pi+                 91   430     0     0     0     0     0     -0.454      0.742     -3.357      3.470      0.140
   559      -211   pi-                 91   430     0     0     0     0     0     -0.475      0.320     -9.865      9.882      0.140
   560     -2212   pbar-               91   442     0     0     0     0     0     -0.163      0.576   -100.104    100.110      0.938
   561      -211   pi-                 91   442     0     0     0     0     0     -0.168      0.062    -94.094     94.094      0.140
   562       211   pi+                 91   448     0     0     0     0     0      0.132     -0.381     -0.214      0.478      0.140
   563       111   (pi0)              -91   448     0   718   719     0     0     -0.640     -0.709     -0.850      1.285      0.135
   564      2212   p+                  91   450     0     0     0     0     0      0.328     -0.162      0.139      1.017      0.938
   565       211   pi+                 91   450     0     0     0     0     0      0.381      0.015      0.002      0.406      0.140
   566     -2112   nbar0               91   451     0     0     0     0     0      1.046     -0.727      1.522      2.196      0.940
   567      -211   pi-                 91   451     0     0     0     0     0     -0.087     -0.176      0.507      0.561      0.140
   568       211   pi+                 91   453     0     0     0     0     0      0.619     -0.195      1.037      1.231      0.140
   569       111   (pi0)              -91   453     0   720   721     0     0      0.185     -0.490      1.517      1.611      0.135
   570      -211   pi-                 91   454     0     0     0     0     0      0.406      0.111      1.062      1.150      0.140
   571       111   (pi0)              -91   454     0   722   723     0     0     -0.097     -0.099      0.046      0.199      0.135
   572      -211   pi-                 91   471     0     0     0     0     0     -0.132      0.381     -0.151      0.453      0.140
   573       111   (pi0)              -91   471     0   724   725     0     0     -0.372     -0.197      0.108      0.455      0.135
   574       211   pi+                 91   472     0     0     0     0     0      0.303     -0.265      0.552      0.697      0.140
   575      -211   pi-                 91   472     0     0     0     0     0     -0.128     -0.084      2.322      2.331      0.140
   576       211   pi+                 91   473     0     0     0     0     0      0.500      0.504      9.220      9.248      0.140
   577       111   (pi0)              -91   473     0   726   727     0     0      0.094     -0.092      6.827      6.830      0.135
   578       311   (K0)               -91   475     0   614   614     0     0      0.095     -0.382      6.760      6.789      0.498
   579       111   (pi0)              -91   475     0   728   729     0     0     -0.047      0.157      6.081      6.084      0.135
   580      -311   (Kbar0)            -91   476     0   615   615     0     0      0.051     -0.358      1.067      1.232      0.498
   581       111   (pi0)              -91   476     0   730   731     0     0     -0.061      0.040      1.362      1.370      0.135
   582      -211   pi-                 91   477     0     0     0     0     0      0.096     -0.256      1.531      1.562      0.140
   583       111   (pi0)              -91   477     0   732   733     0     0      0.232      0.435      4.111      4.143      0.135
   584     -2212   pbar-               91   480     0     0     0     0     0     -0.169      0.136      0.944      1.348      0.938
   585      -211   pi-                 91   480     0     0     0     0     0      0.101      0.278      0.511      0.607      0.140
   586       211   pi+                 91   482     0     0     0     0     0      0.063      0.069     -0.201      0.262      0.140
   587       111   (pi0)              -91   482     0   734   735     0     0      0.003     -0.378      0.489      0.633      0.135
   588      -211   pi-                 91   483     0     0     0     0     0      0.268      0.050      0.019      0.307      0.140
   589       111   (pi0)              -91   483     0   736   737     0     0     -0.275      0.180     -0.539      0.646      0.135
   590       211   pi+                 91   485     0     0     0     0     0      0.418      0.044     -0.978      1.074      0.140
   591      -211   pi-                 91   485     0     0     0     0     0     -0.103     -0.656     -1.933      2.049      0.140
   592       211   pi+                 91   486     0     0     0     0     0     -0.808      0.003     -3.360      3.459      0.140
   593       111   (pi0)              -91   486     0   738   739     0     0      0.182     -0.085     -1.645      1.663      0.135
   594       311   (K0)               -91   490     0   616   616     0     0     -0.095     -0.060     -9.065      9.080      0.498
   595       111   (pi0)              -91   490     0   740   741     0     0      0.094      0.207     -1.357      1.383      0.135
   596       211   pi+                 91   493     0     0     0     0     0      0.294     -0.380     -0.512      0.716      0.140
   597      -211   pi-                 91   493     0     0     0     0     0      0.041      0.388     -1.191      1.261      0.140
   598       311   (K0)               -91   502     0   617   617     0     0      0.225      0.699     47.914     47.922      0.498
   599       211   pi+                 91   502     0     0     0     0     0      0.348      0.122     45.654     45.656      0.140
   600       130   K_L0                91   503   503     0     0     0     0     -0.812      0.955     27.226     27.260      0.498
   601      -211   pi-                 91   506     0     0     0     0     0      0.355     -0.320     58.097     58.099      0.140
   602       111   (pi0)              -91   506     0   742   743     0     0      0.181      0.146      9.356      9.359      0.135
   603      -211   pi-                 91   507     0     0     0     0     0      0.336     -0.590     -3.246      3.319      0.140
   604       111   (pi0)              -91   507     0   744   745     0     0      0.302      0.436     -3.126      3.173      0.135
   605      -211   pi-                 91   510     0     0     0     0     0     -0.093      0.022     -0.546      0.572      0.140
   606       111   (pi0)              -91   510     0   746   747     0     0      0.264     -0.145      0.009      0.330      0.135
   607       311   (K0)               -91   511     0   618   618     0     0      0.004      0.074     -0.224      0.551      0.498
   608       211   pi+                 91   511     0     0     0     0     0     -0.082      0.058      0.305      0.350      0.140
   609      -311   (Kbar0)            -91   513     0   619   619     0     0      0.232      0.041      1.504      1.602      0.498
   610       111   (pi0)              -91   513     0   748   749     0     0     -0.239     -0.078      1.553      1.579      0.135
   611       130   K_L0                91   521   521     0     0     0     0     -0.109      0.792     16.221     16.248      0.498
   612       310   (K_S0)             -91   530   530   750   751     0     0     -0.037      0.152      3.319      3.360      0.498
   613       130   K_L0                91   534   534     0     0     0     0     -0.120      0.145     -0.131      0.548      0.498
   614       310   (K_S0)             -91   578   578   752   753     0     0      0.095     -0.382      6.760      6.789      0.498
   615       310   (K_S0)             -91   580   580   754   755     0     0      0.051     -0.358      1.067      1.232      0.498
   616       310   (K_S0)             -91   594   594   756   757     0     0     -0.095     -0.060     -9.065      9.080      0.498
   617       310   (K_S0)             -91   598   598   758   759     0     0      0.225      0.699     47.914     47.922      0.498
   618       130   K_L0                91   607   607     0     0     0     0      0.004      0.074     -0.224      0.551      0.498
   619       130   K_L0                91   609   609     0     0     0     0      0.232      0.041      1.504      1.602      0.498
   620       431   (D_s+)             -91   351     0   760   761     0     0      5.459     -7.768    -87.230     87.768      1.968
   621        22   gamma               91   351     0     0     0     0     0      0.038     -0.046     -0.202      0.211      0.000
   622       111   (pi0)              -91   361     0   762   763     0     0     -0.060      0.133      1.080      1.098      0.135
   623       111   (pi0)              -91   361     0   764   765     0     0     -0.020      0.042      2.203      2.208      0.135
   624       221   (eta)              -91   361     0   766   767     0     0     -0.063     -0.170      4.021      4.062      0.548
   625       321   K+                  91   363     0     0     0     0     0      0.261     -0.012      8.258      8.277      0.494
   626      -321   K-                  91   363     0     0     0     0     0      0.273     -0.201      8.441      8.462      0.494
   627        22   gamma               91   379     0     0     0     0     0      0.031     -0.152      0.581      0.601      0.000
   628        22   gamma               91   379     0     0     0     0     0      0.005      0.030      0.126      0.130      0.000
   629        22   gamma               91   382     0     0     0     0     0      0.070      0.004      0.132      0.150      0.000
   630        22   gamma               91   382     0     0     0     0     0      0.163     -0.225      0.592      0.654      0.000
   631       211   pi+                 91   385     0     0     0     0     0      0.203      0.211      0.277      0.427      0.140
   632      -211   pi-                 91   385     0     0     0     0     0      0.006      0.090     -0.083      0.186      0.140
   633       111   (pi0)              -91   385     0   768   769     0     0      0.337      0.184     -0.214      0.460      0.135
   634        22   gamma               91   407     0     0     0     0     0      1.724      0.154     -7.095      7.303      0.000
   635        22   gamma               91   407     0     0     0     0     0      0.050     -0.007     -0.311      0.315      0.000
   636        22   gamma               91   409     0     0     0     0     0     -0.115      0.051     -2.255      2.258      0.000
   637        22   gamma               91   409     0     0     0     0     0      0.022     -0.028     -1.083      1.084      0.000
   638        22   gamma               91   410     0     0     0     0     0      0.254     -0.132     -0.669      0.728      0.000
   639        22   gamma               91   410     0     0     0     0     0      0.002      0.265     -1.728      1.748      0.000
   640      2212   p+                  91   411     0     0     0     0     0      0.524      0.801     -8.041      8.152      0.938
   641      -211   pi-                 91   411     0     0     0     0     0     -0.008      0.067     -0.639      0.658      0.140
   642     -3122   (Lambdabar0)       -91   412     0   770   771     0     0     -1.774      1.253     -7.451      7.841      1.116
   643       211   pi+                 91   412     0     0     0     0     0     -0.486      0.456     -1.826      1.948      0.140
   644       111   (pi0)              -91   416     0   772   773     0     0     -1.648      0.118     -4.033      4.361      0.135
   645       111   (pi0)              -91   416     0   774   775     0     0     -5.547     -0.243    -13.054     14.186      0.135
   646       111   (pi0)              -91   416     0   776   777     0     0     -0.760      0.021     -2.015      2.158      0.135
   647       111   (pi0)              -91   416     0   778   779     0     0     -0.899      0.042     -2.215      2.395      0.135
   648     -3222   (Sigmabar-)        -91   416     0   780   781     0     0    -13.964      0.223    -34.493     37.232      1.189
   649       111   (pi0)              -91   416     0   782   783     0     0     -1.769     -0.014     -4.013      4.387      0.135
   650       211   pi+                 91   424     0     0     0     0     0     -0.158      0.143      1.924      1.941      0.140
   651      -211   pi-                 91   424     0     0     0     0     0      0.092     -0.320      3.272      3.292      0.140
   652       111   (pi0)              -91   424     0   784   785     0     0     -0.115     -0.182      1.584      1.605      0.135
   653        22   gamma               91   429     0     0     0     0     0     -0.777      0.444    -10.075     10.115      0.000
   654        11   e-                  91   429     0     0     0     0     0     -0.192      0.133     -3.025      3.034      0.001
   655       -11   e+                  91   429     0     0     0     0     0     -0.425      0.292     -6.704      6.724      0.001
   656        22   gamma               91   432     0     0     0     0     0      0.014      0.011     -0.048      0.051      0.000
   657        22   gamma               91   432     0     0     0     0     0     -0.254      0.360     -2.239      2.282      0.000
   658       111   (pi0)              -91   441     0   786   787     0     0     -0.032      0.197    -53.003     53.003      0.135
   659       111   (pi0)              -91   441     0   788   789     0     0     -0.151      0.031    -30.075     30.075      0.135
   660       111   (pi0)              -91   441     0   790   791     0     0      0.085      0.098    -28.240     28.241      0.135
   661        22   gamma               91   443     0     0     0     0     0     -0.255     -0.087    -20.164     20.165      0.000
   662        11   e-                  91   443     0     0     0     0     0     -0.010     -0.003     -1.228      1.228      0.001
   663       -11   e+                  91   443     0     0     0     0     0     -0.126      0.011    -16.811     16.812      0.001
   664       211   pi+                 91   444     0     0     0     0     0     -0.120      0.017    -17.013     17.014      0.140
   665      -211   pi-                 91   444     0     0     0     0     0     -0.274     -0.177    -36.956     36.958      0.140
   666       221   (eta)              -91   444     0   792   793     0     0     -0.331      0.031    -41.760     41.765      0.548
   667        22   gamma               91   445     0     0     0     0     0     -0.071      0.231     -0.874      0.907      0.000
   668        22   gamma               91   445     0     0     0     0     0     -0.161      0.534     -2.937      2.989      0.000
   669       211   pi+                 91   470     0     0     0     0     0     -0.138      0.213     -0.014      0.290      0.140
   670      -211   pi-                 91   470     0     0     0     0     0      0.160      0.212     -0.053      0.304      0.140
   671       111   (pi0)              -91   470     0   794   795     0     0     -0.098     -0.174     -0.076      0.252      0.135
   672       111   (pi0)              -91   474     0   796   797     0     0      0.263      0.141      5.665      5.674      0.135
   673       111   (pi0)              -91   474     0   798   799     0     0      0.277     -0.034      5.236      5.245      0.135
   674       111   (pi0)              -91   474     0   800   801     0     0      0.248     -0.087      3.014      3.028      0.135
   675        22   gamma               91   481     0     0     0     0     0      1.997     -0.128     -0.335      2.029      0.000
   676        22   gamma               91   481     0     0     0     0     0      0.146     -0.152      0.056      0.218      0.000
   677        22   gamma               91   484     0     0     0     0     0      0.460      0.072      0.190      0.503      0.000
   678        22   gamma               91   484     0     0     0     0     0      0.521      0.120      0.073      0.539      0.000
   679        22   gamma               91   488     0     0     0     0     0     -0.126     -0.028     -0.418      0.438      0.000
   680        22   gamma               91   488     0     0     0     0     0      0.123      0.008     -6.861      6.862      0.000
   681      2212   p+                  91   491     0     0     0     0     0     -0.567     -0.162    -10.028     10.089      0.938
   682      -211   pi-                 91   491     0     0     0     0     0     -0.219      0.034     -2.567      2.581      0.140
   683       211   pi+                 91   509     0     0     0     0     0      0.117     -0.092     -0.210      0.293      0.140
   684      -211   pi-                 91   509     0     0     0     0     0     -0.257     -0.164     -0.480      0.585      0.140
   685       111   (pi0)              -91   509     0   802   803     0     0      0.094     -0.097     -1.008      1.026      0.135
   686       113   (rho0)             -91   512     0   804   805     0     0      0.083     -0.125      1.235      1.499      0.836
   687        22   gamma               91   512     0     0     0     0     0      0.130      0.035      0.245      0.279      0.000
   688      3122   (Lambda0)          -91   514     0   806   807     0     0     -1.030     -1.829    105.126    105.153      1.116
   689        22   gamma               91   514     0     0     0     0     0     -0.086     -0.040      2.655      2.656      0.000
   690        22   gamma               91   516     0     0     0     0     0     -0.024     -0.145      2.251      2.256      0.000
   691        22   gamma               91   516     0     0     0     0     0      0.092     -0.143      4.086      4.090      0.000
   692       211   pi+                 91   517     0     0     0     0     0      0.085     -0.019     10.572     10.574      0.140
   693      -211   pi-                 91   517     0     0     0     0     0      0.125      0.227      4.344      4.354      0.140
   694       111   (pi0)              -91   518     0   808   809     0     0      0.364     -0.056     -2.391      2.423      0.135
   695       111   (pi0)              -91   518     0   810   811     0     0      1.708     -0.907    -14.675     14.803      0.135
   696        22   gamma               91   520     0     0     0     0     0      0.259     -0.315     -3.792      3.814      0.000
   697        22   gamma               91   520     0     0     0     0     0      0.115     -0.042     -0.837      0.846      0.000
   698        22   gamma               91   524     0     0     0     0     0      0.062      0.019      0.731      0.734      0.000
   699        22   gamma               91   524     0     0     0     0     0      0.351      0.328      2.947      2.986      0.000
   700        22   gamma               91   531     0     0     0     0     0      0.015     -0.138      0.694      0.707      0.000
   701        22   gamma               91   531     0     0     0     0     0     -0.153     -0.221      1.399      1.424      0.000
   702       111   (pi0)              -91   533     0   812   813     0     0     -0.156      0.116      2.338      2.350      0.135
   703       111   (pi0)              -91   533     0   814   815     0     0      0.174      0.539      4.678      4.714      0.135
   704        22   gamma               91   535     0     0     0     0     0      0.057      0.090      0.053      0.119      0.000
   705        22   gamma               91   535     0     0     0     0     0      0.117      0.305     -0.068      0.333      0.000
   706       211   pi+                 91   538     0     0     0     0     0     -0.024     -0.114     -0.441      0.477      0.140
   707      -211   pi-                 91   538     0     0     0     0     0     -0.118      0.084      0.004      0.201      0.140
   708        22   gamma               91   541     0     0     0     0     0     -0.190      0.047     -0.192      0.274      0.000
   709        22   gamma               91   541     0     0     0     0     0      0.014     -0.003      0.008      0.017      0.000
   710        22   gamma               91   545     0     0     0     0     0      0.219      0.135     -2.050      2.066      0.000
   711        22   gamma               91   545     0     0     0     0     0     -0.020      0.004     -0.207      0.208      0.000
   712        22   gamma               91   547     0     0     0     0     0      2.659      0.699    -14.160     14.424      0.000
   713        22   gamma               91   547     0     0     0     0     0      4.677      1.070    -25.179     25.632      0.000
   714        22   gamma               91   549     0     0     0     0     0      0.530      0.123     -3.215      3.261      0.000
   715        22   gamma               91   549     0     0     0     0     0      0.745      0.341     -4.949      5.016      0.000
   716        22   gamma               91   557     0     0     0     0     0      0.046     -0.065     -0.681      0.686      0.000
   717        22   gamma               91   557     0     0     0     0     0      0.021      0.066     -0.468      0.474      0.000
   718        22   gamma               91   563     0     0     0     0     0     -0.153     -0.263     -0.266      0.404      0.000
   719        22   gamma               91   563     0     0     0     0     0     -0.487     -0.446     -0.584      0.881      0.000
   720        22   gamma               91   569     0     0     0     0     0      0.189     -0.481      1.385      1.478      0.000
   721        22   gamma               91   569     0     0     0     0     0     -0.004     -0.010      0.133      0.133      0.000
   722        22   gamma               91   571     0     0     0     0     0     -0.095     -0.023     -0.018      0.099      0.000
   723        22   gamma               91   571     0     0     0     0     0     -0.002     -0.076      0.064      0.099      0.000
   724        22   gamma               91   573     0     0     0     0     0     -0.143     -0.118     -0.010      0.186      0.000
   725        22   gamma               91   573     0     0     0     0     0     -0.229     -0.079      0.118      0.269      0.000
   726        22   gamma               91   577     0     0     0     0     0      0.080     -0.058      1.976      1.978      0.000
   727        22   gamma               91   577     0     0     0     0     0      0.014     -0.034      4.851      4.852      0.000
   728        22   gamma               91   579     0     0     0     0     0     -0.049     -0.005      1.237      1.238      0.000
   729        22   gamma               91   579     0     0     0     0     0      0.002      0.162      4.843      4.846      0.000
   730        22   gamma               91   581     0     0     0     0     0     -0.092     -0.002      0.625      0.632      0.000
   731        22   gamma               91   581     0     0     0     0     0      0.031      0.042      0.737      0.739      0.000
   732        22   gamma               91   583     0     0     0     0     0      0.129      0.223      1.602      1.622      0.000
   733        22   gamma               91   583     0     0     0     0     0      0.103      0.212      2.509      2.520      0.000
   734        22   gamma               91   587     0     0     0     0     0     -0.001     -0.086      0.035      0.093      0.000
   735        22   gamma               91   587     0     0     0     0     0      0.004     -0.293      0.454      0.540      0.000
   736        22   gamma               91   589     0     0     0     0     0     -0.005     -0.001      0.008      0.009      0.000
   737        22   gamma               91   589     0     0     0     0     0     -0.270      0.181     -0.547      0.636      0.000
   738        22   gamma               91   593     0     0     0     0     0      0.121     -0.056     -1.458      1.464      0.000
   739        22   gamma               91   593     0     0     0     0     0      0.060     -0.029     -0.188      0.199      0.000
   740        22   gamma               91   595     0     0     0     0     0     -0.013      0.064     -0.168      0.181      0.000
   741        22   gamma               91   595     0     0     0     0     0      0.107      0.144     -1.189      1.202      0.000
   742        22   gamma               91   602     0     0     0     0     0      0.129      0.142      8.574      8.576      0.000
   743        22   gamma               91   602     0     0     0     0     0      0.051      0.003      0.782      0.784      0.000
   744        22   gamma               91   604     0     0     0     0     0      0.033      0.077     -0.825      0.830      0.000
   745        22   gamma               91   604     0     0     0     0     0      0.269      0.359     -2.300      2.344      0.000
   746        22   gamma               91   606     0     0     0     0     0      0.138     -0.028     -0.048      0.149      0.000
   747        22   gamma               91   606     0     0     0     0     0      0.126     -0.117      0.057      0.181      0.000
   748        22   gamma               91   610     0     0     0     0     0     -0.227     -0.025      1.172      1.194      0.000
   749        22   gamma               91   610     0     0     0     0     0     -0.012     -0.054      0.381      0.385      0.000
   750       211   pi+                 91   612     0     0     0     0     0      0.160     -0.025      1.683      1.696      0.140
   751      -211   pi-                 91   612     0     0     0     0     0     -0.197      0.177      1.637      1.664      0.140
   752       211   pi+                 91   614     0     0     0     0     0      0.239     -0.147      4.075      4.087      0.140
   753      -211   pi-                 91   614     0     0     0     0     0     -0.144     -0.235      2.684      2.702      0.140
   754       211   pi+                 91   615     0     0     0     0     0     -0.134     -0.035      0.216      0.292      0.140
   755      -211   pi-                 91   615     0     0     0     0     0      0.185     -0.323      0.851      0.940      0.140
   756       211   pi+                 91   616     0     0     0     0     0     -0.256     -0.036     -4.905      4.914      0.140
   757      -211   pi-                 91   616     0     0     0     0     0      0.161     -0.024     -4.160      4.166      0.140
   758       211   pi+                 91   617     0     0     0     0     0      0.318      0.393     24.586     24.591      0.140
   759      -211   pi-                 91   617     0     0     0     0     0     -0.094      0.307     23.328     23.331      0.140
   760       221   (eta)              -91   620     0   816   818     0     0      4.473     -6.508    -71.653     72.089      0.548
   761       213   (rho+)             -91   620     0   819   820     0     0      0.986     -1.260    -15.577     15.678      0.779
   762        22   gamma               91   622     0     0     0     0     0      0.016      0.105      0.790      0.797      0.000
   763        22   gamma               91   622     0     0     0     0     0     -0.076      0.028      0.290      0.301      0.000
   764        22   gamma               91   623     0     0     0     0     0     -0.023      0.064      0.514      0.519      0.000
   765        22   gamma               91   623     0     0     0     0     0      0.002     -0.022      1.689      1.689      0.000
   766        22   gamma               91   624     0     0     0     0     0      0.236     -0.130      2.208      2.224      0.000
   767        22   gamma               91   624     0     0     0     0     0     -0.299     -0.040      1.813      1.838      0.000
   768        22   gamma               91   633     0     0     0     0     0      0.279      0.127     -0.105      0.324      0.000
   769        22   gamma               91   633     0     0     0     0     0      0.058      0.058     -0.109      0.136      0.000
   770     -2212   pbar-               91   642     0     0     0     0     0     -1.432      0.999     -5.763      6.095      0.938
   771       211   pi+                 91   642     0     0     0     0     0     -0.342      0.254     -1.688      1.746      0.140
   772        22   gamma               91   644     0     0     0     0     0     -0.552      0.099     -1.428      1.534      0.000
   773        22   gamma               91   644     0     0     0     0     0     -1.097      0.019     -2.606      2.827      0.000
   774        22   gamma               91   645     0     0     0     0     0     -4.326     -0.135    -10.138     11.024      0.000
   775        22   gamma               91   645     0     0     0     0     0     -1.221     -0.108     -2.916      3.163      0.000
   776        22   gamma               91   646     0     0     0     0     0     -0.363     -0.028     -1.117      1.175      0.000
   777        22   gamma               91   646     0     0     0     0     0     -0.397      0.049     -0.898      0.983      0.000
   778        22   gamma               91   647     0     0     0     0     0     -0.476     -0.027     -1.043      1.147      0.000
   779        22   gamma               91   647     0     0     0     0     0     -0.423      0.069     -1.172      1.248      0.000
   780     -2212   pbar-               91   648     0     0     0     0     0    -12.710      0.343    -31.439     33.926      0.938
   781       111   (pi0)              -91   648     0   821   822     0     0     -1.254     -0.120     -3.054      3.306      0.135
   782        22   gamma               91   649     0     0     0     0     0     -0.822     -0.051     -1.991      2.155      0.000
   783        22   gamma               91   649     0     0     0     0     0     -0.946      0.037     -2.021      2.232      0.000
   784        22   gamma               91   652     0     0     0     0     0      0.017     -0.088      0.673      0.679      0.000
   785        22   gamma               91   652     0     0     0     0     0     -0.132     -0.094      0.911      0.925      0.000
   786        22   gamma               91   658     0     0     0     0     0      0.049      0.074    -25.091     25.091      0.000
   787        22   gamma               91   658     0     0     0     0     0     -0.082      0.123    -27.912     27.913      0.000
   788        22   gamma               91   659     0     0     0     0     0     -0.062      0.076    -18.566     18.566      0.000
   789        22   gamma               91   659     0     0     0     0     0     -0.090     -0.046    -11.509     11.509      0.000
   790        22   gamma               91   660     0     0     0     0     0     -0.016     -0.017     -8.234      8.234      0.000
   791        22   gamma               91   660     0     0     0     0     0      0.101      0.115    -20.007     20.007      0.000
   792        22   gamma               91   666     0     0     0     0     0     -0.139     -0.174    -32.286     32.287      0.000
   793        22   gamma               91   666     0     0     0     0     0     -0.192      0.204     -9.474      9.478      0.000
   794        22   gamma               91   671     0     0     0     0     0     -0.073     -0.034     -0.076      0.111      0.000
   795        22   gamma               91   671     0     0     0     0     0     -0.025     -0.139      0.000      0.142      0.000
   796        22   gamma               91   672     0     0     0     0     0      0.228      0.148      4.060      4.069      0.000
   797        22   gamma               91   672     0     0     0     0     0      0.035     -0.007      1.605      1.605      0.000
   798        22   gamma               91   673     0     0     0     0     0      0.152      0.005      1.718      1.725      0.000
   799        22   gamma               91   673     0     0     0     0     0      0.125     -0.039      3.518      3.520      0.000
   800        22   gamma               91   674     0     0     0     0     0      0.207     -0.040      2.705      2.713      0.000
   801        22   gamma               91   674     0     0     0     0     0      0.041     -0.047      0.309      0.315      0.000
   802        22   gamma               91   685     0     0     0     0     0      0.107     -0.021     -0.473      0.486      0.000
   803        22   gamma               91   685     0     0     0     0     0     -0.013     -0.076     -0.535      0.540      0.000
   804       211   pi+                 91   686     0     0     0     0     0      0.119      0.212      0.086      0.293      0.140
   805      -211   pi-                 91   686     0     0     0     0     0     -0.036     -0.337      1.149      1.206      0.140
   806      2212   p+                  91   688     0     0     0     0     0     -0.749     -1.497     83.462     83.484      0.938
   807      -211   pi-                 91   688     0     0     0     0     0     -0.281     -0.332     21.664     21.669      0.140
   808        22   gamma               91   694     0     0     0     0     0      0.236     -0.007     -1.122      1.146      0.000
   809        22   gamma               91   694     0     0     0     0     0      0.128     -0.049     -1.269      1.276      0.000
   810        22   gamma               91   695     0     0     0     0     0      0.236     -0.179     -2.303      2.322      0.000
   811        22   gamma               91   695     0     0     0     0     0      1.472     -0.728    -12.372     12.481      0.000
   812        22   gamma               91   702     0     0     0     0     0     -0.092      0.139      1.787      1.795      0.000
   813        22   gamma               91   702     0     0     0     0     0     -0.064     -0.023      0.551      0.555      0.000
   814        22   gamma               91   703     0     0     0     0     0     -0.023      0.062      0.475      0.480      0.000
   815        22   gamma               91   703     0     0     0     0     0      0.196      0.477      4.203      4.234      0.000
   816       111   (pi0)              -91   760     0   823   824     0     0      2.827     -3.917    -43.260     43.529      0.135
   817       111   (pi0)              -91   760     0   825   826     0     0      0.902     -1.374    -15.508     15.596      0.135
   818       111   (pi0)              -91   760     0   827   828     0     0      0.745     -1.218    -12.885     12.964      0.135
   819       211   pi+                 91   761     0     0     0     0     0      1.055     -1.050    -14.069     14.149      0.140
   820       111   (pi0)              -91   761     0   829   830     0     0     -0.069     -0.210     -1.508      1.530      0.135
   821        22   gamma               91   781     0     0     0     0     0     -0.890     -0.024     -2.179      2.354      0.000
   822        22   gamma               91   781     0     0     0     0     0     -0.363     -0.095     -0.875      0.953      0.000
   823        22   gamma               91   816     0     0     0     0     0      2.212     -3.136    -34.673     34.884      0.000
   824        22   gamma               91   816     0     0     0     0     0      0.615     -0.782     -8.588      8.645      0.000
   825        22   gamma               91   817     0     0     0     0     0      0.639     -1.040    -11.932     11.994      0.000
   826        22   gamma               91   817     0     0     0     0     0      0.263     -0.334     -3.577      3.602      0.000
   827        22   gamma               91   818     0     0     0     0     0      0.707     -1.080    -11.577     11.649      0.000
   828        22   gamma               91   818     0     0     0     0     0      0.037     -0.138     -1.307      1.315      0.000
   829        22   gamma               91   820     0     0     0     0     0      0.030     -0.083     -0.350      0.361      0.000
   830        22   gamma               91   820     0     0     0     0     0     -0.099     -0.127     -1.158      1.169      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000      0.000   1960.000   1960.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Error in StringFragmentation::fragmentToJunction: caught in junction flavour loop  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | f fbar -> gamma*/Z0                            221 |        4539       1000       1000 |   4.856e-06  9.444e-08 |
 |                                                    |                                   |                        |
 | sum                                                |        4539       1000       1000 |   4.856e-06  9.444e-08 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragmentToJunction: caught in junction flavour loop                      | 
 |      4   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:00       dN/dpTZ

        8.40*10^ 1     7                                                                                                
        8.10*10^ 1   X3X                                                                                                
        7.80*10^ 1   XXX7                                                                                               
        7.50*10^ 1   XXXX                                                                                               
        7.20*10^ 1   XXXX                                                                                               
        6.90*10^ 1   XXXX                                                                                               
        6.60*10^ 1   XXXX                                                                                               
        6.30*10^ 1   XXXX                                                                                               
        6.00*10^ 1   XXXX                                                                                               
        5.70*10^ 1   XXXX                                                                                               
        5.40*10^ 1   XXXXX7                                                                                             
        5.10*10^ 1   XXXXXX  3                                                                                          
        4.80*10^ 1   XXXXXX  X                                                                                          
        4.50*10^ 1   XXXXXX3 X                                                                                          
        4.20*10^ 1   XXXXXXX3X                                                                                          
        3.90*10^ 1   XXXXXXXXX3                                                                                         
        3.60*10^ 1   XXXXXXXXXX                                                                                         
        3.30*10^ 1   XXXXXXXXXX33                                                                                       
        3.00*10^ 1   XXXXXXXXXXXX    3                                                                                  
        2.70*10^ 1   XXXXXXXXXXXX3   X                                                                                  
        2.40*10^ 1   XXXXXXXXXXXXX3  X                                                                                  
        2.10*10^ 1   XXXXXXXXXXXXXX7 X     7                                                                            
        1.80*10^ 1  3XXXXXXXXXXXXXXX3X     X                                                                            
        1.50*10^ 1  XXXXXXXXXXXXXXXXXXX3 3XX    3                                                                       
        1.20*10^ 1  XXXXXXXXXXXXXXXXXXXX3XXX  3 X                                                                       
        0.90*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXX 7XXXX                                                                      
        0.60*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXX3XXXXX73 77      3                                                          
        0.30*10^ 1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7XXXXXX33  333X373 3   3 3 3 73337     3 3    37        3  333 3 

          Contents                                                                                                      
            *10^ 1  1878755444333222121111120010100000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  6193743309711520685303504809395435523333341100111312101000101010211120000010100001200000000100111010
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        1000    Mean =  1.2549e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+03    Rms  =  1.3548e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02
pythia8-8.1.86.orig/examples/outref/out040000644000175000017500000052545112357054710016377 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:01:04    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | non-diffractive                                101 |   5.584e+01 |
 | A B -> A B elastic                             102 |   3.210e+01 |
 | A B -> X B single diffractive                  103 |   5.628e+00 |
 | A B -> A X single diffractive                  104 |   5.628e+00 |
 | A B -> X X double diffractive                  105 |   9.472e+00 |
 | A B -> A X B central diffractive               106 |   8.179e-01 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   55.84 mb               | 
 |                                                                  | 
 |    pT0 =  2.74 gives sigmaInteraction =  351.67 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction XB                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.86 gives sigmaInteraction =    7.43 mb: rejected     | 
 |    pT0 =  0.77 gives sigmaInteraction =   11.74 mb: accepted     | 
 |    diffractive mass = 6.117e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.15 gives sigmaInteraction =   11.49 mb: accepted     | 
 |    diffractive mass = 3.742e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.53 gives sigmaInteraction =   15.70 mb: accepted     | 
 |    diffractive mass = 2.289e+03 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.05 gives sigmaInteraction =   29.09 mb: accepted     | 
 |    diffractive mass = 1.400e+04 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.74 gives sigmaInteraction =   59.82 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 
 PYTHIA Warning in MultipartonInteractions::init: maximum increased by factor 5.153

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AX                          | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.86 gives sigmaInteraction =    7.41 mb: rejected     | 
 |    pT0 =  0.77 gives sigmaInteraction =   11.88 mb: accepted     | 
 |    diffractive mass = 6.117e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.15 gives sigmaInteraction =   11.40 mb: accepted     | 
 |    diffractive mass = 3.742e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.53 gives sigmaInteraction =   15.59 mb: accepted     | 
 |    diffractive mass = 2.289e+03 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.05 gives sigmaInteraction =   28.72 mb: accepted     | 
 |    diffractive mass = 1.400e+04 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.74 gives sigmaInteraction =   59.51 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                          diffraction AXB                         | 
 |                                                                  | 
 |    diffractive mass = 1.000e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  0.86 gives sigmaInteraction =    1.60 mb: rejected     | 
 |    pT0 =  0.77 gives sigmaInteraction =    2.43 mb: rejected     | 
 |    pT0 =  0.70 gives sigmaInteraction =    3.67 mb: rejected     | 
 |    pT0 =  0.63 gives sigmaInteraction =    5.61 mb: rejected     | 
 |    pT0 =  0.56 gives sigmaInteraction =    8.69 mb: rejected     | 
 |    pT0 =  0.51 gives sigmaInteraction =   13.62 mb: accepted     | 
 |    diffractive mass = 6.117e+01 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.15 gives sigmaInteraction =    1.42 mb: rejected     | 
 |    pT0 =  1.03 gives sigmaInteraction =    1.90 mb: rejected     | 
 |    pT0 =  0.93 gives sigmaInteraction =    2.56 mb: rejected     | 
 |    pT0 =  0.84 gives sigmaInteraction =    3.50 mb: rejected     | 
 |    pT0 =  0.75 gives sigmaInteraction =    4.80 mb: rejected     | 
 |    pT0 =  0.68 gives sigmaInteraction =    6.77 mb: rejected     | 
 |    pT0 =  0.61 gives sigmaInteraction =    9.69 mb: rejected     | 
 |    pT0 =  0.55 gives sigmaInteraction =   14.11 mb: accepted     | 
 |    diffractive mass = 3.742e+02 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  1.53 gives sigmaInteraction =    2.32 mb: rejected     | 
 |    pT0 =  1.38 gives sigmaInteraction =    2.80 mb: rejected     | 
 |    pT0 =  1.24 gives sigmaInteraction =    3.40 mb: rejected     | 
 |    pT0 =  1.12 gives sigmaInteraction =    4.09 mb: rejected     | 
 |    pT0 =  1.01 gives sigmaInteraction =    4.90 mb: rejected     | 
 |    pT0 =  0.91 gives sigmaInteraction =    5.98 mb: rejected     | 
 |    pT0 =  0.82 gives sigmaInteraction =    7.32 mb: rejected     | 
 |    pT0 =  0.73 gives sigmaInteraction =    9.10 mb: rejected     | 
 |    pT0 =  0.66 gives sigmaInteraction =   11.64 mb: accepted     | 
 |    diffractive mass = 2.289e+03 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.05 gives sigmaInteraction =    4.65 mb: rejected     | 
 |    pT0 =  1.85 gives sigmaInteraction =    5.48 mb: rejected     | 
 |    pT0 =  1.66 gives sigmaInteraction =    6.45 mb: rejected     | 
 |    pT0 =  1.49 gives sigmaInteraction =    7.63 mb: rejected     | 
 |    pT0 =  1.35 gives sigmaInteraction =    8.65 mb: rejected     | 
 |    pT0 =  1.21 gives sigmaInteraction =   10.04 mb: rejected     | 
 |    pT0 =  1.09 gives sigmaInteraction =   11.40 mb: accepted     | 
 |    diffractive mass = 1.400e+04 GeV and sigmaNorm = 10.000 mb    | 
 |    pT0 =  2.74 gives sigmaInteraction =    7.96 mb: rejected     | 
 |    pT0 =  2.47 gives sigmaInteraction =    9.41 mb: rejected     | 
 |    pT0 =  2.22 gives sigmaInteraction =   11.18 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Diffraction:PomFlux                           |                        5 |            1           1           5 | 
 | Init:showChangedParticleData                  |                      off |           on                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        2 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.16000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:ecmRef                |                 1960.000 |     1800.000     1.00000             | 
 | MultipartonInteractions:pT0Ref                |                  2.00000 |      2.15000     0.50000    10.00000 | 
 | Next:numberCount                              |                      500 |         1000           0             | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        3 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SoftQCD:all                                   |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 Process A B -> X X double diffractive with code 105 is 2 -> 2.
 It has s =  1.960e+08,    t = -3.805e-01,    u = -1.959e+08,
       pT =  6.165e-01,   m3 =  1.370e+00,   m4 =  2.445e+02,
    theta =  8.810e-05,  phi =  1.782e+00.

 Diffractive system on side B: 
 In 1: id =   -3, x =  2.334e-01, pdf =  3.309e-03 at Q2 =  4.420e-01.
 In 2: id =   21, x =  7.165e-04, pdf =  9.323e+00 at same Q2.
 Subprocess q g -> q g with code 113 is 2 -> 2.
 It has sHat =  9.991e+00,    tHat = -4.635e-01,    uHat = -9.527e+00,
       pTHat =  6.648e-01,   m3Hat =  0.000e+00,   m4Hat =  0.000e+00,
    thetaHat =  4.342e-01,  phiHat =  5.910e+00.
     alphaEM =  7.480e-03,  alphaS =  4.257e-01    at Q2 =  2.526e+00.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  3.752e-02, pdf =  6.724e+00 at Q2 =  5.299e+01.
 In 2: id =   21, x =  1.634e-04, pdf =  9.730e+01 at same Q2.

 Process non-diffractive with code 101 is 2 -> 2.
 Subprocess g g -> g g with code 111 is 2 -> 2.
 It has sHat =  1.202e+03,    tHat = -5.555e+01,    uHat = -1.146e+03,
       pTHat =  7.279e+00,   m3Hat =  0.000e+00,   m4Hat =  0.000e+00,
    thetaHat =  4.334e-01,  phiHat =  4.883e-01.
     alphaEM =  7.606e-03,  alphaS =  2.271e-01    at Q2 =  6.049e+01.

 Impact parameter b =  1.171e+00 gives enhancement factor =  2.380e-01.
 Max pT scale for MPI =  7.279e+00, ISR =  7.279e+00, FSR =  7.279e+00.
 Number of MPI =     4, ISR =     8, FSRproc =    61, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 Process A B -> A B elastic with code 102 is 2 -> 2.
 It has s =  1.960e+08,    t = -1.745e-01,    u = -1.960e+08,
       pT =  4.177e-01,   m3 =  9.383e-01,   m4 =  9.383e-01,
    theta =  5.967e-05,  phi =  4.726e+00.

 --------  End PYTHIA Info Listing  ------------------------------------
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Error in BeamRemnants::setKinematics: kinematics construction failed  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Error in Pythia::check: unmatched particle energy/momentum/mass  
 PYTHIA Error in Pythia::next: check of event revealed problems  

 Pythia::next(): 500 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | non-diffractive                                101 |         520        520        520 |   5.584e+01  3.536e-07 |
 | A B -> A B elastic                             102 |         289        289        289 |   3.210e+01  0.000e+00 |
 | A B -> X B single diffractive                  103 |          41         41         41 |   5.628e+00  3.356e-08 |
 | A B -> A X single diffractive                  104 |          60         60         60 |   5.628e+00  0.000e+00 |
 | A B -> X X double diffractive                  105 |          84         84         84 |   9.472e+00  0.000e+00 |
 | A B -> A X B central diffractive               106 |           6          6          6 |   8.179e-01  4.302e-09 |
 |                                                    |                                   |                        |
 | sum                                                |        1000       1000       1000 |   1.095e+02  3.552e-07 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      6   Error in BeamRemnants::setKinematics: kinematics construction failed                                   | 
 |      3   Error in Pythia::check: unmatched particle energy/momentum/mass                                        | 
 |      1   Error in Pythia::next: check of event revealed problems                                                | 
 |      3   Warning in MultipartonInteractions::init: maximum increased                                            | 
 |     11   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      2   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:01       rapidity of charged particles; all

        1.40*10^ 3                                            2     X    5                                              
        1.35*10^ 3                                            X     X7 76X 1                                            
        1.30*10^ 3                                         2X X4X 79XX6XXXXX7  4                                        
        1.25*10^ 3                                        4XXXXXXXXXXXXXXXXXX6 X67                                      
        1.20*10^ 3                                    3 14XXXXXXXXXXXXXXXXXXXX8XXX431                                   
        1.15*10^ 3                                   5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 1                                 
        1.10*10^ 3                                 22XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3X 5                               
        1.05*10^ 3                                5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 2                             
        1.00*10^ 3                                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1X                             
        0.95*10^ 3                               8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                            
        0.90*10^ 3                            574XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 1                          
        0.85*10^ 3                            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8X                          
        0.80*10^ 3                          3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                         
        0.75*10^ 3                          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                        
        0.70*10^ 3                         1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1                       
        0.65*10^ 3                        4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                      
        0.60*10^ 3                       9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX92                    
        0.55*10^ 3                      8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.50*10^ 3                     4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6                   
        0.45*10^ 3                    6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                  
        0.40*10^ 3                  27XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                 
        0.35*10^ 3                6 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX72               
        0.30*10^ 3    2           XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX22          3  
        0.25*10^ 3    X      3777XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX82        X  
        0.20*10^ 3    X     3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5221    X  
        0.15*10^ 3   7X   8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4   X9 
        0.10*10^ 3   XX2 9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX754XX 
        0.05*10^ 3  2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2

          Contents                                                                                                      
            *10^ 3  0000000000000000000000000000001111111111111111111111111111111111111110100000000000000000000000000000
            *10^ 2  0120001112222232334455667888890001111122223232223323332322122211101009098877665544333222211111000210
            *10^ 1  0366594561333439682649256078742562645615956704899383379082962366560475113593549583831664176652876640
            *10^ 0  9601231153375818278815255234017823785888802128358703138768299694643876259303333816741022271061568659

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =       72558    Mean = -2.5779e-02    Underflow =  1.9000e+01    Low edge  = -1.0000e+01
   All chan =  7.2521e+04    Rms  =  3.9062e+00    Overflow  =  1.8000e+01    High edge =  1.0000e+01


  2013-09-20 16:01       number of charged particles; all

        3.24*10^ 2  9                                                                                                   
        3.12*10^ 2  X                                                                                                   
        3.00*10^ 2  X                                                                                                   
        2.88*10^ 2  X                                                                                                   
        2.76*10^ 2  X                                                                                                   
        2.64*10^ 2  X                                                                                                   
        2.52*10^ 2  X                                                                                                   
        2.40*10^ 2  X                                                                                                   
        2.28*10^ 2  X                                                                                                   
        2.16*10^ 2  X                                                                                                   
        2.04*10^ 2  X                                                                                                   
        1.92*10^ 2  X                                                                                                   
        1.80*10^ 2  X                                                                                                   
        1.68*10^ 2  X                                                                                                   
        1.56*10^ 2  X                                                                                                   
        1.44*10^ 2  X                                                                                                   
        1.32*10^ 2  X                                                                                                   
        1.20*10^ 2  X                                                                                                   
        1.08*10^ 2  X                                                                                                   
        0.96*10^ 2  X                                                                                                   
        0.84*10^ 2  X    4                                                                                              
        0.72*10^ 2  X    X                                                                                              
        0.60*10^ 2  X    X72                                                                                            
        0.48*10^ 2  X 3 6XXX                                                                                            
        0.36*10^ 2  X7X8XXXX8 4                                                                                         
        0.24*10^ 2  XXXXXXXXX9X7771  1                                                                                  
        0.12*10^ 2  XXXXXXXXXXXXXXX5XX878548635355 331343414133522 13432321 1131  2 1                                   

          Contents                                                                                                      
            *10^ 2  3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  2343475532222210110000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  3204377043901036239896597363660431353515133622013532321011310020100000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =        1000    Mean =  7.3316e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  9.7856e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       number of charged particles; single diffraction

        2.50*10^ 1  X                                                                                                   
        2.40*10^ 1  X                                                                                                   
        2.30*10^ 1  XX                                                                                                  
        2.20*10^ 1  XX                                                                                                  
        2.10*10^ 1  XX                                                                                                  
        2.00*10^ 1  XX                                                                                                  
        1.90*10^ 1  XXX                                                                                                 
        1.80*10^ 1  XXX                                                                                                 
        1.70*10^ 1  XXX                                                                                                 
        1.60*10^ 1  XXX                                                                                                 
        1.50*10^ 1  XXX                                                                                                 
        1.40*10^ 1  XXX                                                                                                 
        1.30*10^ 1  XXX                                                                                                 
        1.20*10^ 1  XXX                                                                                                 
        1.10*10^ 1  XXX                                                                                                 
        1.00*10^ 1  XXX                                                                                                 
        0.90*10^ 1  XXXX                                                                                                
        0.80*10^ 1  XXXX                                                                                                
        0.70*10^ 1  XXXX                                                                                                
        0.60*10^ 1  XXXXX                                                                                               
        0.50*10^ 1  XXXXXX                                                                                              
        0.40*10^ 1  XXXXXXX                                                                                             
        0.30*10^ 1  XXXXXXX   X                                                                                         
        0.20*10^ 1  XXXXXXX XXX                                                                                         
        0.10*10^ 1  XXXXXXX XXX  X XX                                                                                   

          Contents                                                                                                      
            *10^ 1  2210000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  5399654022300101100000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =         101    Mean =  2.4807e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0100e+02    Rms  =  2.6021e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       number of charged particles, double diffractive

        1.84*10^ 1    55                                                                                                
        1.76*10^ 1    XX                                                                                                
        1.68*10^ 1    XX                                                                                                
        1.60*10^ 1    XX                                                                                                
        1.52*10^ 1    XX                                                                                                
        1.44*10^ 1    XX5                                                                                               
        1.36*10^ 1    XXX                                                                                               
        1.28*10^ 1    XXX                                                                                               
        1.20*10^ 1    XXX                                                                                               
        1.12*10^ 1    XXX                                                                                               
        1.04*10^ 1    XXX                                                                                               
        0.96*10^ 1    XXX                                                                                               
        0.88*10^ 1    XXX                                                                                               
        0.80*10^ 1   XXXX                                                                                               
        0.72*10^ 1   XXXX                                                                                               
        0.64*10^ 1  5XXXX5                                                                                              
        0.56*10^ 1  XXXXXX                                                                                              
        0.48*10^ 1  XXXXXX                                                                                              
        0.40*10^ 1  XXXXXX    X                                                                                         
        0.32*10^ 1  XXXXXX7   X                                                                                         
        0.24*10^ 1  XXXXXXX 5 X  5                                                                                      
        0.16*10^ 1  XXXXXXX2X X2 X     2                                                                                
        0.08*10^ 1  XXXXXXXXX XX X     X                                                                                

          Contents                                                                                                      
            *10^ 1  0011100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  6888463120410200000100000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =          84    Mean =  3.4071e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  8.4000e+01    Rms  =  2.6103e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       number of charged particles, central diffractive

        3.00*10^ 0  X                                                                                                   
        2.88*10^ 0  X                                                                                                   
        2.76*10^ 0  X                                                                                                   
        2.64*10^ 0  X                                                                                                   
        2.52*10^ 0  X                                                                                                   
        2.40*10^ 0  X                                                                                                   
        2.28*10^ 0  X                                                                                                   
        2.16*10^ 0  X                                                                                                   
        2.04*10^ 0  X 7                                                                                                 
        1.92*10^ 0  X X                                                                                                 
        1.80*10^ 0  X X                                                                                                 
        1.68*10^ 0  X X                                                                                                 
        1.56*10^ 0  X X                                                                                                 
        1.44*10^ 0  X X                                                                                                 
        1.32*10^ 0  X X                                                                                                 
        1.20*10^ 0  X X                                                                                                 
        1.08*10^ 0  X3X                                                                                                 
        0.96*10^ 0  XXX                                                                                                 
        0.84*10^ 0  XXX                                                                                                 
        0.72*10^ 0  XXX                                                                                                 
        0.60*10^ 0  XXX                                                                                                 
        0.48*10^ 0  XXX                                                                                                 
        0.36*10^ 0  XXX                                                                                                 
        0.24*10^ 0  XXX                                                                                                 
        0.12*10^ 0  XXX                                                                                                 

          Contents                                                                                                      
            *10^ 0  3120000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =           6    Mean =  1.0167e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  6.0000e+00    Rms  =  7.1802e+00    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       number of charged particles, non-diffractive

        6.75*10^ 1       4                                                                                              
        6.50*10^ 1       X                                                                                              
        6.25*10^ 1       X                                                                                              
        6.00*10^ 1       X                                                                                              
        5.75*10^ 1       X                                                                                              
        5.50*10^ 1       X                                                                                              
        5.25*10^ 1       X                                                                                              
        5.00*10^ 1       XX6                                                                                            
        4.75*10^ 1       XXX                                                                                            
        4.50*10^ 1       XXX                                                                                            
        4.25*10^ 1       XXX                                                                                            
        4.00*10^ 1       XXX                                                                                            
        3.75*10^ 1       XXX                                                                                            
        3.50*10^ 1       XXX                                                                                            
        3.25*10^ 1       XXX                                                                                            
        3.00*10^ 1       XXXX                                                                                           
        2.75*10^ 1       XXXX                                                                                           
        2.50*10^ 1      2XXXX                                                                                           
        2.25*10^ 1      XXXXX48 4                                                                                       
        2.00*10^ 1      XXXXXXX6X                                                                                       
        1.75*10^ 1      XXXXXXXXX8                                                                                      
        1.50*10^ 1      XXXXXXXXXX2  2                                                                                  
        1.25*10^ 1      XXXXXXXXXXX 4X                                                                                  
        1.00*10^ 1      XXXXXXXXXXX XX6 6  6                                                                            
        0.75*10^ 1     8XXXXXXXXXXX XXX8X4 X8 4 44             4                                                        
        0.50*10^ 1     XXXXXXXXXXXXXXXXXXXXXX2X2XX 62 2X2X X 22X    2X2 2     2                                         
        0.25*10^ 1    4XXXXXXXXXXXXXXXXXXXXXXXXXXX XX4XXXX4X4XXX88 4XXX8X84 44X4  8 4                                   

          Contents                                                                                                      
            *10^ 1  0000265432212110110000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0017360901291735139796597363660431353515133622013532321011310020100000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =         520    Mean =  1.2861e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  5.2000e+02    Rms  =  1.0796e+02    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       (n_charged) all

        8.70*10^-1                                               1                                                      
        8.40*10^-1                                               X                                                      
        8.10*10^-1                                               X           9                                          
        7.80*10^-1                                               X           X                                          
        7.50*10^-1                                               X        6 6X                                          
        7.20*10^-1                                   5      9    X   6   9X XX51  6                                     
        6.90*10^-1                                   X     5X  2 X   X8 8XX XXXX  X                                     
        6.60*10^-1                                   X   7 XX  X2X  5XX5XXX XXXX  X 1                                   
        6.30*10^-1                                   X336X XX54XXX 3XXXXXXX XXXX  X X                                   
        6.00*10^-1                           2  45  3XXXXX1XXXXXXX XXXXXXXX XXXX  X X                                   
        5.70*10^-1                       11  X 1XX 6XXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        5.40*10^-1                    72XXX78X3XXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        5.10*10^-1               9 195XXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        4.80*10^-1           8   XXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        4.50*10^-1          5X987XXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        4.20*10^-1      3 69XXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.90*10^-1     7X8XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.60*10^-1    8XXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.30*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.00*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        2.70*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        2.40*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        2.10*10^-1  5XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        1.80*10^-1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        1.50*10^-1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        1.20*10^-1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        0.90*10^-1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        0.60*10^-1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        0.30*10^-1  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   

          Contents                                                                                                      
            *10^-1  1333334444444544545555555555550557666656766668066766677078760070600000000000000000000000000000000000
            *10^-2  9258980137444088093144433714880570101577111634004084813030090000300000000000000000000000000000000000
            *10^-3  4930856663642711752604204592130974077045752474085653578066340060300000000000000000000000000000000000
            *10^-4  1090637728215359610430493460270073573609376554026748193096830090700000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =        2000    Mean =  2.7163e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.7153e-01    Rms  =  1.3974e+02    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       (n_charged) single diffraction

        6.25*10^-1                  X                                                                                   
        6.00*10^-1                  X                                                                                   
        5.75*10^-1               9  X                                                                                   
        5.50*10^-1               X  X                                                                                   
        5.25*10^-1               X 6X                                                                                   
        5.00*10^-1               X XX                                                                                   
        4.75*10^-1            9  X XX                                                                                   
        4.50*10^-1      6   3 X  X XX                                                                                   
        4.25*10^-1      X3  X5X  X XX                                                                                   
        4.00*10^-1     2XXX XXX  X XX                                                                                   
        3.75*10^-1     XXXX XXX  X XX                                                                                   
        3.50*10^-1    8XXXX XXX  X XX                                                                                   
        3.25*10^-1   8XXXXX XXX  X XX                                                                                   
        3.00*10^-1  3XXXXXX XXX  X XX                                                                                   
        2.75*10^-1  XXXXXXX XXX  X XX                                                                                   
        2.50*10^-1  XXXXXXX XXX  X XX                                                                                   
        2.25*10^-1  XXXXXXX XXX  X XX                                                                                   
        2.00*10^-1  XXXXXXX XXX  X XX                                                                                   
        1.75*10^-1  XXXXXXX XXX  X XX                                                                                   
        1.50*10^-1  XXXXXXX XXX  X XX                                                                                   
        1.25*10^-1  XXXXXXX XXX  X XX                                                                                   
        1.00*10^-1  XXXXXXX XXX  X XX                                                                                   
        0.75*10^-1  XXXXXXX XXX  X XX                                                                                   
        0.50*10^-1  XXXXXXX XXX  X XX                                                                                   
        0.25*10^-1  XXXXXXX XXX  X XX                                                                                   

          Contents                                                                                                      
            *10^-1  2333444044400505600000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  8247300031700701200000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  2159970022100304600000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-4  1170085068800501100000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =         202    Mean =  6.8323e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.5162e-01    Rms  =  4.1360e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       (n_charged) double diffraction

        5.00*10^-1                     5                                                                                
        4.80*10^-1                     X                                                                                
        4.60*10^-1             8 2     X                                                                                
        4.40*10^-1             X X     X                                                                                
        4.20*10^-1       584   X X     X                                                                                
        4.00*10^-1       XXX  7X X     X                                                                                
        3.80*10^-1    343XXX5 XX X     X                                                                                
        3.60*10^-1  73XXXXXXX XX X     X                                                                                
        3.40*10^-1  XXXXXXXXX XX X     X                                                                                
        3.20*10^-1  XXXXXXXXX XX X     X                                                                                
        3.00*10^-1  XXXXXXXXX XX X     X                                                                                
        2.80*10^-1  XXXXXXXXX XX X     X                                                                                
        2.60*10^-1  XXXXXXXXX XX X     X                                                                                
        2.40*10^-1  XXXXXXXXX XX X     X                                                                                
        2.20*10^-1  XXXXXXXXX XX X     X                                                                                
        2.00*10^-1  XXXXXXXXX XX X     X                                                                                
        1.80*10^-1  XXXXXXXXX XX X     X                                                                                
        1.60*10^-1  XXXXXXXXX XX X     X                                                                                
        1.40*10^-1  XXXXXXXXX XX X     X                                                                                
        1.20*10^-1  XXXXXXXXX XX X     X                                                                                
        1.00*10^-1  XXXXXXXXX XX X     X                                                                                
        0.80*10^-1  XXXXXXXXX XX X     X                                                                                
        0.60*10^-1  XXXXXXXXX XX X     X                                                                                
        0.40*10^-1  XXXXXXXXX XX X     X                                                                                
        0.20*10^-1  XXXXXXXXX XX X     X                                                                                

          Contents                                                                                                      
            *10^-1  3333344430340400000400000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  5466611070950400000900000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  4657505700350300000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-4  6988863270200300000100000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =         168    Mean =  6.2144e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.7488e-01    Rms  =  4.2650e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       (n_charged) central diffraction

        4.05*10^-1  X                                                                                                   
        3.90*10^-1  X                                                                                                   
        3.75*10^-1  X3                                                                                                  
        3.60*10^-1  XX                                                                                                  
        3.45*10^-1  XX7                                                                                                 
        3.30*10^-1  XXX                                                                                                 
        3.15*10^-1  XXX                                                                                                 
        3.00*10^-1  XXX                                                                                                 
        2.85*10^-1  XXX                                                                                                 
        2.70*10^-1  XXX                                                                                                 
        2.55*10^-1  XXX                                                                                                 
        2.40*10^-1  XXX                                                                                                 
        2.25*10^-1  XXX                                                                                                 
        2.10*10^-1  XXX                                                                                                 
        1.95*10^-1  XXX                                                                                                 
        1.80*10^-1  XXX                                                                                                 
        1.65*10^-1  XXX                                                                                                 
        1.50*10^-1  XXX                                                                                                 
        1.35*10^-1  XXX                                                                                                 
        1.20*10^-1  XXX                                                                                                 
        1.05*10^-1  XXX                                                                                                 
        0.90*10^-1  XXX                                                                                                 
        0.75*10^-1  XXX                                                                                                 
        0.60*10^-1  XXX                                                                                                 
        0.45*10^-1  XXX                                                                                                 
        0.30*10^-1  XXX                                                                                                 
        0.15*10^-1  XXX                                                                                                 

          Contents                                                                                                      
            *10^-1  4330000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0640000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  4500000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-4  8060000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =          12    Mean =  1.1037e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.7678e-01    Rms  =  6.5383e+00    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       (n_charged) non-diffractive   

        8.70*10^-1                                               1                                                      
        8.40*10^-1                                               X                                                      
        8.10*10^-1                                               X           9                                          
        7.80*10^-1                                               X           X                                          
        7.50*10^-1                                               X        6 6X                                          
        7.20*10^-1                                   5      9    X   6   9X XX51  6                                     
        6.90*10^-1                                   X     5X  2 X   X8 8XX XXXX  X                                     
        6.60*10^-1                                   X   7 XX  X2X  5XX5XXX XXXX  X 1                                   
        6.30*10^-1                                   X336X XX54XXX 3XXXXXXX XXXX  X X                                   
        6.00*10^-1                           2  45  3XXXXX1XXXXXXX XXXXXXXX XXXX  X X                                   
        5.70*10^-1                       11  X 1XX 6XXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        5.40*10^-1                    73XXX78X3XXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        5.10*10^-1               X  65XXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        4.80*10^-1           X1  XX8XXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        4.50*10^-1          7XX87XXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        4.20*10^-1     86 69XXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.90*10^-1     XX7XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.60*10^-1     XXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.30*10^-1    8XXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        3.00*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        2.70*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        2.40*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        2.10*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        1.80*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        1.50*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        1.20*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        0.90*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        0.60*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   
        0.30*10^-1    XXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXXXXX XXXXXXXX XXXX  X X                                   

          Contents                                                                                                      
            *10^-1  0034434444444544445555555555550557666656766668066766677078760070600000000000000000000000000000000000
            *10^-2  0021080147544187993244433714880570101577111634004084813030090000300000000000000000000000000000000000
            *10^-3  0033816609232115652004204592130974077045752474085653578066340060300000000000000000000000000000000000
            *10^-4  0030037987455055810230493460270073573609376554026748193096830090700000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =        1040    Mean =  2.7570e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  4.8071e-01    Rms  =  1.3688e+02    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       log10(mass), by diffractive system

        5.20*10^ 2                                                                                    X                 
        5.00*10^ 2                                                                                    X                 
        4.80*10^ 2                                                                                    X                 
        4.60*10^ 2                                                                                    X                 
        4.40*10^ 2                                                                                    X                 
        4.20*10^ 2                                                                                    X                 
        4.00*10^ 2                                                                                    X                 
        3.80*10^ 2                                                                                    X                 
        3.60*10^ 2                                                                                    X                 
        3.40*10^ 2                                                                                    X                 
        3.20*10^ 2                                                                                    X                 
        3.00*10^ 2                                                                                    X                 
        2.80*10^ 2                                                                                    X                 
        2.60*10^ 2                                                                                    X                 
        2.40*10^ 2                                                                                    X                 
        2.20*10^ 2                                                                                    X                 
        2.00*10^ 2                                                                                    X                 
        1.80*10^ 2                                                                                    X                 
        1.60*10^ 2                                                                                    X                 
        1.40*10^ 2                                                                                    X                 
        1.20*10^ 2                                                                                    X                 
        1.00*10^ 2                                                                                    X                 
        0.80*10^ 2                                                                                    X                 
        0.60*10^ 2                                                                                    X                 
        0.40*10^ 2                                                                                    X                 
        0.20*10^ 2   1737412322223134312111231121131331333121332323312 111312111111 111 111 1111      X                 

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000500000000000000000
            *10^ 1  0010100000000000000000000000000000000000000000000000000000000000000000000000000000200000000000000000
            *10^ 0  0137483454444536862421345234337266356734365454561401325142332320133023101111000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^-1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =         795    Mean =  3.2218e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  7.9500e+02    Rms  =  1.3729e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       (log10(mass))

        1.30*10^ 2                                                                           4        6                 
        1.25*10^ 2                                                                           X        X                 
        1.20*10^ 2                                                                           X8       X                 
        1.15*10^ 2                                                                           XX       X                 
        1.10*10^ 2                                                                          8XX       X                 
        1.05*10^ 2                                                                          XXX       X                 
        1.00*10^ 2                                                                          XXX       X                 
        0.95*10^ 2                                                                          XXX       X                 
        0.90*10^ 2                                                                    4     XXX       X                 
        0.85*10^ 2                                                                    X   2 XXX       X                 
        0.80*10^ 2                                                                  8 X   X XXX       X                 
        0.75*10^ 2                                                         6        X X   X XXXX      X                 
        0.70*10^ 2                                                         X        X X   X XXXX      X                 
        0.65*10^ 2                                                         X        X3X 6 X XXXX      X                 
        0.60*10^ 2                                                         X   5    XXX X X XXXX      X                 
        0.55*10^ 2                                                         X   X    XXX X3X XXXX      X                 
        0.50*10^ 2                                                      1 3X   X    XXX XXX XXXX      X                 
        0.45*10^ 2                                                      X XX   X6   XXX XXX XXXX      X                 
        0.40*10^ 2                                                      X XX24 XX16 XXX XXX XXXX      X                 
        0.35*10^ 2                                 2               8    X XXXX7XXXX XXX XXX XXXX      X                 
        0.30*10^ 2                                 X  2            X82 8XXXXXXXXXXX XXX XXX XXXX      X                 
        0.25*10^ 2                                 X  X  X14  58 X8XXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.20*10^ 2                             8  4X8 X2 XXX53XXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.15*10^ 2                         11 1X28XXX9XX7XXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.10*10^ 2                  2 42X 5XX6XXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.05*10^ 2   232333326768XX9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000000000000000000000000000000000001110000000100000000000000000
            *10^ 1  0000000000000000000010011011111311211222112222232202434733354330768065800217000000200000000000000000
            *10^ 0  0111111113334554557605700809146184653402762405349609506367373580917031109795000000800000000000000000
            *10^-1  0030367520500007800300756030009083087930376000800000706000770700070007000000000000200000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^-1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        1590    Mean =  2.8896e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  9.0399e+01    Rms  =  8.5791e-01    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       _charged>(log10(mass))

        6.50*10^-1                                                                           2                          
        6.25*10^-1                                                                           X                          
        6.00*10^-1                                                                          1X                          
        5.75*10^-1                                                                          XX                          
        5.50*10^-1                                                                        6 XX                          
        5.25*10^-1          3                                                             X XX7                         
        5.00*10^-1     3    X                                            63           3   X XXX       2                 
        4.75*10^-1     X    X                                            XX           X  XX XXX       X                 
        4.50*10^-1     X  4 X         7                      3           XX3        1 X  XX XXX       X                 
        4.25*10^-1     X  X X 8    2  X                      X 51       3XXX   X  6 X8X  XX XXX       X                 
        4.00*10^-1     X2 X X X X  X  X   X   8   X        1 X XX  34   XXXX 9 X33X XXX  XX XXX8      X                 
        3.75*10^-1     XX X X X X  X  X   X2  X   X   8 3 2X8X9XX  XX   XXXX6X XXXX XXX 6XX XXXX      X                 
        3.50*10^-1     XX X X X9X5 X 9X7 7XX  X  6X 26X X7XXXXXXX  XX8 9XXXXXX3XXXX XXX XXX XXXX      X                 
        3.25*10^-1     XXXX6X XXXX X3XXX6XXX38X  XX9XXX7XXXXXXXXX93XXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        3.00*10^-1     XXXXXX8XXXX4XXXXXXXXXXXX5XXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        2.75*10^-1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        2.50*10^-1    1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        2.25*10^-1   1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        2.00*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        1.75*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        1.50*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        1.25*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        1.00*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.75*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.50*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 
        0.25*10^-1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX XXX XXX XXXX      X                 

          Contents                                                                                                      
            *10^-1  0224334352434324334333433332334333333333343443333303444433343340444034505653000000400000000000000000
            *10^-2  0028723109240380044414050298030234715457737102088404088369328810228067407219000000800000000000000000
            *10^-3  0182945575060834862241156066090110076336022221616607682256362240701044007974000000000000000000000000
            *10^-4  0931161193788481678927158724193325555697617848491109591256008880725030202469000000700000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^-1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        1590    Mean =  1.9995e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  4.4174e-01    Rms  =  1.1221e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       elastic |t| spectrum

        6.75*10^ 1  8                                                                                                   
        6.50*10^ 1  X                                                                                                   
        6.25*10^ 1  X                                                                                                   
        6.00*10^ 1  X                                                                                                   
        5.75*10^ 1  X                                                                                                   
        5.50*10^ 1  X                                                                                                   
        5.25*10^ 1  X                                                                                                   
        5.00*10^ 1  XX                                                                                                  
        4.75*10^ 1  XX                                                                                                  
        4.50*10^ 1  XX                                                                                                  
        4.25*10^ 1  XX4                                                                                                 
        4.00*10^ 1  XXX                                                                                                 
        3.75*10^ 1  XXX                                                                                                 
        3.50*10^ 1  XXX                                                                                                 
        3.25*10^ 1  XXX                                                                                                 
        3.00*10^ 1  XXX                                                                                                 
        2.75*10^ 1  XXX                                                                                                 
        2.50*10^ 1  XXX6                                                                                                
        2.25*10^ 1  XXXX4                                                                                               
        2.00*10^ 1  XXXXX                                                                                               
        1.75*10^ 1  XXXXX  4                                                                                            
        1.50*10^ 1  XXXXX6 X                                                                                            
        1.25*10^ 1  XXXXXX X8                                                                                           
        1.00*10^ 1  XXXXXX6XX                                                                                           
        0.75*10^ 1  XXXXXXXXX44                                                                                         
        0.50*10^ 1  XXXXXXXXXXX 62   22                                                                                 
        0.25*10^ 1  XXXXXXXXXXX8XX848XX  44     4                                                                       

          Contents                                                                                                      
            *10^ 1  6542210110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  7014149626624321233001100000100000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-2  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =         289    Mean =  4.2855e-02    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.8900e+02    Rms  =  4.5331e-02    Overflow  =  0.0000e+00    High edge =  1.0000e+00


  2013-09-20 16:01       elastic log10(|t|) spectrum

        1.50*10^ 1                                                                     X         X                      
        1.44*10^ 1                                                                     X         X                      
        1.38*10^ 1                                                                     X         X                      
        1.32*10^ 1                                                                   7 X    7    X                      
        1.26*10^ 1                                                                   X X    X    X                      
        1.20*10^ 1                                                                   X X    X    X                      
        1.14*10^ 1                                                                3  X X    X3   X3                     
        1.08*10^ 1                                                                X  X X    XX   XX                     
        1.02*10^ 1                                                                X  X7X7 7 XX   XX                     
        0.96*10^ 1                                                                X  XXXX X XX   XX                     
        0.90*10^ 1                                                                X  XXXXXXXXXX  XX                     
        0.84*10^ 1                                                             3  X  XXXXXXXXXX3 XX                     
        0.78*10^ 1                                                             X  X  XXXXXXXXXXX XX                     
        0.72*10^ 1                                                        7   7X7 X7 XXXXXXXXXXX XX77                   
        0.66*10^ 1                                                        X   XXX XX XXXXXXXXXXX XXXX                   
        0.60*10^ 1                                                       XX X XXXXXXXXXXXXXXXXXXXXXXX                   
        0.54*10^ 1                                                    3  XX3X XXXXXXXXXXXXXXXXXXXXXXX3  3               
        0.48*10^ 1                                                    X  XXXX XXXXXXXXXXXXXXXXXXXXXXXX  X               
        0.42*10^ 1                                                    X 7XXXX XXXXXXXXXXXXXXXXXXXXXXXX  X               
        0.36*10^ 1                                                    X XXXXX XXXXXXXXXXXXXXXXXXXXXXXX  X               
        0.30*10^ 1                                             X      X XXXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXX              
        0.24*10^ 1                                  3  3       X    3 X XXXXX3XXXXXXXXXXXXXXXXXXXXXXXXXXXX              
        0.18*10^ 1                                  X  X       X    X X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX              
        0.12*10^ 1                    7  7    7 77  X  X       X7 77X X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX77 7          
        0.06*10^ 1                    X  X    X XX  X  X       XX XXX X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X          

          Contents                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000000000000000010011110101100011000000000000000000000
            *10^ 0  0000000000000000001001000010110020020000000310112050467562787617630509093198651775335311010000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  ----------------------------------------------------------------------------------------------------
            *10^ 0  5444444444444444444443333333333333333333322222222222222222222111111111111111111110000000000000000000
            *10^-1  0998877665544332211009988776655443322110099887766554433221100998877665544332211009988776655443322110
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =         289    Mean = -1.6459e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  2.8900e+02    Rms  =  5.8431e-01    Overflow  =  0.0000e+00    High edge =  0.0000e+00


  2013-09-20 16:01       single diffractive |t| spectrum

        1.92*10^ 1  8                                                                                                   
        1.84*10^ 1  X                                                                                                   
        1.76*10^ 1  X3                                                                                                  
        1.68*10^ 1  XX                                                                                                  
        1.60*10^ 1  XX                                                                                                  
        1.52*10^ 1  XX                                                                                                  
        1.44*10^ 1  XX5                                                                                                 
        1.36*10^ 1  XXX                                                                                                 
        1.28*10^ 1  XXX                                                                                                 
        1.20*10^ 1  XXX                                                                                                 
        1.12*10^ 1  XXX                                                                                                 
        1.04*10^ 1  XXX                                                                                                 
        0.96*10^ 1  XXX                                                                                                 
        0.88*10^ 1  XXX                                                                                                 
        0.80*10^ 1  XXX                                                                                                 
        0.72*10^ 1  XXX                                                                                                 
        0.64*10^ 1  XXX5                                                                                                
        0.56*10^ 1  XXXX222 2                                                                                           
        0.48*10^ 1  XXXXXXX X                                                                                           
        0.40*10^ 1  XXXXXXXXX X                                                                                         
        0.32*10^ 1  XXXXXXXXX X                                                                                         
        0.24*10^ 1  XXXXXXXXX5X 5 5      5 5                                                                            
        0.16*10^ 1  XXXXXXXXXXX X2X 22   X X   22 2              2                                                      
        0.08*10^ 1  XXXXXXXXXXX XXX XX   X X   XX X              X                                                      

          Contents                                                                                                      
            *10^ 1  1110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  9746555452402120110002020001101000000000000001000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^-1  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-2  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =         101    Mean =  1.2485e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0100e+02    Rms  =  1.5455e-01    Overflow  =  0.0000e+00    High edge =  2.0000e+00


  2013-09-20 16:01       double diffractive |t| spectrum

        1.30*10^ 1   X                                                                                                  
        1.25*10^ 1   X                                                                                                  
        1.20*10^ 1   X                                                                                                  
        1.15*10^ 1   X                                                                                                  
        1.10*10^ 1   X                                                                                                  
        1.05*10^ 1   X                                                                                                  
        1.00*10^ 1   X  X                                                                                               
        0.95*10^ 1   X  X                                                                                               
        0.90*10^ 1  XX XX                                                                                               
        0.85*10^ 1  XX XX                                                                                               
        0.80*10^ 1  XX XX  X                                                                                            
        0.75*10^ 1  XX XX  X                                                                                            
        0.70*10^ 1  XX XX  X                                                                                            
        0.65*10^ 1  XX XX  X                                                                                            
        0.60*10^ 1  XX XX  X                                                                                            
        0.55*10^ 1  XX XX  X                                                                                            
        0.50*10^ 1  XXXXX XX                                                                                            
        0.45*10^ 1  XXXXX XX                                                                                            
        0.40*10^ 1  XXXXX XX  X                                                                                         
        0.35*10^ 1  XXXXX XX  X                                                                                         
        0.30*10^ 1  XXXXXXXX XX                                                                                         
        0.25*10^ 1  XXXXXXXX XX                                                                                         
        0.20*10^ 1  XXXXXXXXXXX        X                                                                                
        0.15*10^ 1  XXXXXXXXXXX        X                                                                                
        0.10*10^ 1  XXXXXXXXXXXX XX    X    X X   X X           X  X        X          X                                
        0.05*10^ 1  XXXXXXXXXXXX XX    X    X X   X X           X  X        X          X                                

          Contents                                                                                                      
            *10^ 1  0100100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  9359035823410110000200001010001010000000000010010000000010000000000100000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^-1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =          84    Mean =  4.2738e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  8.4000e+01    Rms  =  6.0764e-01    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       central diffractive |t| spectrum

        3.00*10^ 0   X                                                                                                  
        2.88*10^ 0   X                                                                                                  
        2.76*10^ 0   X                                                                                                  
        2.64*10^ 0   X                                                                                                  
        2.52*10^ 0   X                                                                                                  
        2.40*10^ 0   X                                                                                                  
        2.28*10^ 0   X                                                                                                  
        2.16*10^ 0   X                                                                                                  
        2.04*10^ 0  7X 77                                                                                               
        1.92*10^ 0  XX XX                                                                                               
        1.80*10^ 0  XX XX                                                                                               
        1.68*10^ 0  XX XX                                                                                               
        1.56*10^ 0  XX XX                                                                                               
        1.44*10^ 0  XX XX                                                                                               
        1.32*10^ 0  XX XX                                                                                               
        1.20*10^ 0  XX XX                                                                                               
        1.08*10^ 0  XX XX333                                                                                            
        0.96*10^ 0  XX XXXXX                                                                                            
        0.84*10^ 0  XX XXXXX                                                                                            
        0.72*10^ 0  XX XXXXX                                                                                            
        0.60*10^ 0  XX XXXXX                                                                                            
        0.48*10^ 0  XX XXXXX                                                                                            
        0.36*10^ 0  XX XXXXX                                                                                            
        0.24*10^ 0  XX XXXXX                                                                                            
        0.12*10^ 0  XX XXXXX                                                                                            

          Contents                                                                                                      
            *10^ 0  2302211100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^-1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-2  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =          12    Mean =  1.7083e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.2000e+01    Rms  =  1.1265e-01    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:01       diffractive mass spectrum

        4.35*10^ 1   7                                                                                                  
        4.20*10^ 1   X                                                                                                  
        4.05*10^ 1   X                                                                                                  
        3.90*10^ 1   X                                                                                                  
        3.75*10^ 1   X                                                                                                  
        3.60*10^ 1   X                                                                                                  
        3.45*10^ 1   X                                                                                                  
        3.30*10^ 1   X                                                                                                  
        3.15*10^ 1   X                                                                                                  
        3.00*10^ 1   X                                                                                                  
        2.85*10^ 1   X                                                                                                  
        2.70*10^ 1   X                                                                                                  
        2.55*10^ 1   X                                                                                                  
        2.40*10^ 1   X                                                                                                  
        2.25*10^ 1   X                                                                                                  
        2.10*10^ 1   X                                                                                                  
        1.95*10^ 1   X                                                                                                  
        1.80*10^ 1   X                                                                                                  
        1.65*10^ 1   X                                                                                                  
        1.50*10^ 1   XX                                                                                                 
        1.35*10^ 1   XX                                                                                                 
        1.20*10^ 1   XX                                                                                                 
        1.05*10^ 1   XX   7                                                                                             
        0.90*10^ 1   XXXX X                                                                                             
        0.75*10^ 1   XXXX7X                                                                                             
        0.60*10^ 1   XXXXXXX                                                                                            
        0.45*10^ 1   XXXXXXX 7     77                                                                                   
        0.30*10^ 1   XXXXXXX3X 3 3 XX    33 3  3   X3X3 3   3    3 3       3   3 3    3    33   3                       
        0.15*10^ 1   XXXXXXXXX7X7X XX7777XX X7 X   XXXX X  7X7 77X X777    X7  X X  77X 77 XX 7 X  7 7     7        7777

          Contents                                                                                                      
            *10^ 1  0410001000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0359970624121204411112202102000323202001210112021110000210020200112011022010200101000001000000001111
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =         275    Mean =  2.0788e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.8400e+02    Rms  =  2.5530e+01    Overflow  =  9.1000e+01    High edge =  1.0000e+02


  2013-09-20 16:01       log10(diffractive mass spectrum)

        1.20*10^ 1       X                                                                                              
        1.15*10^ 1       X                                                                                              
        1.10*10^ 1       X                                                                                              
        1.05*10^ 1       X                                                                                              
        1.00*10^ 1       X                                                                                              
        0.95*10^ 1       X                                                                                              
        0.90*10^ 1     X X                                                                                              
        0.85*10^ 1     X X                                                                                              
        0.80*10^ 1     X X                                                                                              
        0.75*10^ 1     X X                                                                                              
        0.70*10^ 1     X X              X                                                                               
        0.65*10^ 1     X X              X                                                                               
        0.60*10^ 1    XXXX X           XX                 X       X    X                                                
        0.55*10^ 1    XXXX X           XX                 X       X    X                                                
        0.50*10^ 1    XXXXXX  X        XX                XX XX   XX    X    X XX                                        
        0.45*10^ 1    XXXXXX  X        XX                XX XX   XX    X    X XX                                        
        0.40*10^ 1    XXXXXX XXX X  X  XX X X    XX      XX XX  XXXX X X X  X XX        X X                             
        0.35*10^ 1    XXXXXX XXX X  X  XX X X    XX      XX XX  XXXX X X X  X XX        X X                             
        0.30*10^ 1    XXXXXX XXX XXXX XXXXX X    XX  XX  XX XXXXXXXX X XXXXXX XX X    X X X  X  XX    X   X             
        0.25*10^ 1    XXXXXX XXX XXXX XXXXX X    XX  XX  XX XXXXXXXX X XXXXXX XX X    X X X  X  XX    X   X             
        0.20*10^ 1    XXXXXXXXXX XXXXXXXXXXXX XX XXXXXX XXX XXXXXXXX XXXXXXXXXXX XX  XX X XX XX XX    XX XX             
        0.15*10^ 1    XXXXXXXXXX XXXXXXXXXXXX XX XXXXXX XXX XXXXXXXX XXXXXXXXXXX XX  XX X XX XX XX    XX XX             
        0.10*10^ 1    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX XXXXXXXXXXXXXX  XXXX XX X XX XX     
        0.05*10^ 1    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX XXXXXXXXXXXXXX  XXXX XX X XX XX     

          Contents                                                                                                      
            *10^ 1  0000010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0069625624541433423673424122144223312561553345641426343352550320123141421321330011320230101101100000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^-1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^-2  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         275    Mean =  1.5153e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.7500e+02    Rms  =  9.9381e-01    Overflow  =  0.0000e+00    High edge =  4.0000e+00


  2013-09-20 16:01       total pT_hard spectrum

        2.32*10^ 2  6                                                                                                   
        2.24*10^ 2  X                                                                                                   
        2.16*10^ 2  X                                                                                                   
        2.08*10^ 2  X                                                                                                   
        2.00*10^ 2  X                                                                                                   
        1.92*10^ 2  X                                                                                                   
        1.84*10^ 2  X                                                                                                   
        1.76*10^ 2  X                                                                                                   
        1.68*10^ 2  X3                                                                                                  
        1.60*10^ 2  XX                                                                                                  
        1.52*10^ 2  XX                                                                                                  
        1.44*10^ 2  XX                                                                                                  
        1.36*10^ 2  XX                                                                                                  
        1.28*10^ 2  XX                                                                                                  
        1.20*10^ 2  XX                                                                                                  
        1.12*10^ 2  XX                                                                                                  
        1.04*10^ 2  XX                                                                                                  
        0.96*10^ 2  XX                                                                                                  
        0.88*10^ 2  XX                                                                                                  
        0.80*10^ 2  XX                                                                                                  
        0.72*10^ 2  XX                                                                                                  
        0.64*10^ 2  XX4                                                                                                 
        0.56*10^ 2  XXX                                                                                                 
        0.48*10^ 2  XXX                                                                                                 
        0.40*10^ 2  XXX                                                                                                 
        0.32*10^ 2  XXX            4                                                                                    
        0.24*10^ 2  XXXX          4X4  4   1                                                                            
        0.16*10^ 2  XXXX   95 44XXXXX72X5 6X2X 4 5416 1562   1                                                          
        0.08*10^ 2  XXXX959XX6XXXXXXXXXXX9XXXX6X9XXXX9XXXX663X15464956356341514313 3  413111  3313  1 13  1      13 1 1 

          Contents                                                                                                      
            *10^ 2  2100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  2652000110111112111110111101011010011100000000000000000000000000000000000000000000000000000000000000
            *10^ 0  9294747525116697940927370651721937923055291435374524523141321202003121110022120010120010000001201010
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =        1000    Mean =  3.0613e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  9.9100e+02    Rms  =  3.7220e+00    Overflow  =  9.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:01       nondiffractive pT_hard spectrum

        2.70*10^ 1                 X                                                                                    
        2.60*10^ 1                 X                                                                                    
        2.50*10^ 1                 X                                                                                    
        2.40*10^ 1                 X                                                                                    
        2.30*10^ 1                 X                                                                                    
        2.20*10^ 1                 X                                                                                    
        2.10*10^ 1                 X                                                                                    
        2.00*10^ 1                 X                                                                                    
        1.90*10^ 1                XXX  X                                                                                
        1.80*10^ 1                XXX  X                                                                                
        1.70*10^ 1                XXX  X   X                                                                            
        1.60*10^ 1              XXXXX  X   X X                                                                          
        1.50*10^ 1              XXXXX  X   X X                                                                          
        1.40*10^ 1              XXXXXX X   X X                                                                          
        1.30*10^ 1              XXXXXX X  XX X      X   X                                                               
        1.20*10^ 1         X    XXXXXX XX XX X   X  X  XX                                                               
        1.10*10^ 1         XX XXXXXXXX XX XX X X XX X  XX                                                               
        1.00*10^ 1         XX XXXXXXXXXXX XXXX X XX X  XXX                                                              
        0.90*10^ 1         XX XXXXXXXXXXX XXXX X XXXX XXXX   X                                                          
        0.80*10^ 1         XX XXXXXXXXXXX XXXX X XXXX XXXX   X                                                          
        0.70*10^ 1         XX XXXXXXXXXXXXXXXX XXXXXXXXXXX   X     X                                                    
        0.60*10^ 1         XX XXXXXXXXXXXXXXXX XXXXXXXXXXX   X     X                                                    
        0.50*10^ 1        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X   X X X  X                                               
        0.40*10^ 1        XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X X XXX XX   X                                           
        0.30*10^ 1     X  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXXXXXX XX X X X       X                                 
        0.20*10^ 1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXXXXXX X XX X X  X X     XX X     X          X     
        0.10*10^ 1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X  XXXXXX  XXXX  X XX  X      XX X X 

          Contents                                                                                                      
            *10^ 1  0000000110111112111110111101011010011100000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0223225215116697940927370651721937923055291435374524523141321202003121110022120010120010000001201010
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =         520    Mean =  5.6832e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  5.1100e+02    Rms  =  3.5529e+00    Overflow  =  9.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:01       b impact parameter spectrum

        2.50*10^ 1                              X                                                                       
        2.40*10^ 1                          X   XX                                                                      
        2.30*10^ 1                          X X XX                                                                      
        2.20*10^ 1                          X X XX                                                                      
        2.10*10^ 1                          XXX XX                                                                      
        2.00*10^ 1                          XXX XX   X                                                                  
        1.90*10^ 1                          XXX XX   X                                                                  
        1.80*10^ 1                     X    XXX XXX  X  X                                                               
        1.70*10^ 1                     X   XXXX XXXX X  X                                                               
        1.60*10^ 1                     X X XXXX XXXX X  X                                                               
        1.50*10^ 1                  XX X X XXXX XXXX X XX                                                               
        1.40*10^ 1                  XXXX XXXXXXXXXXX X XX                                                               
        1.30*10^ 1                  XXXX XXXXXXXXXXXXXXXX                                                               
        1.20*10^ 1                 XXXXX XXXXXXXXXXXXXXXX                                                               
        1.10*10^ 1                 XXXXX XXXXXXXXXXXXXXXX                                                               
        1.00*10^ 1             X   XXXXXXXXXXXXXXXXXXXXXX                                                               
        0.90*10^ 1        X    X XXXXXXXXXXXXXXXXXXXXXXXXX                                                              
        0.80*10^ 1        XXX XX XXXXXXXXXXXXXXXXXXXXXXXXX                                                              
        0.70*10^ 1        XXX XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                              
        0.60*10^ 1     X XXXX XXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                             
        0.50*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XX                                                        
        0.40*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX                                                        
        0.30*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX      X                                               
        0.20*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  X X X                                               
        0.10*10^ 1    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX X      X X                                      

          Contents                                                                                                      
            *10^ 1  0000000000010001111111112221221112111000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0016569885807992554806474134548730358964345533012120300000010100000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^-1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^-2  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         520    Mean =  1.0048e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  5.2000e+02    Rms  =  4.1770e-01    Overflow  =  0.0000e+00    High edge =  4.0000e+00


  2013-09-20 16:01       b enhancement spectrum

        0.92*10^ 2  X                                                                                                   
        0.88*10^ 2  X                                                                                                   
        0.84*10^ 2  X                                                                                                   
        0.80*10^ 2  X                                                                                                   
        0.76*10^ 2  X                                                                                                   
        0.72*10^ 2  XX                                                                                                  
        0.68*10^ 2  XX                                                                                                  
        0.64*10^ 2  XX                                                                                                  
        0.60*10^ 2  XX                                                                                                  
        0.56*10^ 2  XXX                                                                                                 
        0.52*10^ 2  XXX                                                                                                 
        0.48*10^ 2  XXX                                                                                                 
        0.44*10^ 2  XXX                                                                                                 
        0.40*10^ 2  XXX X                                                                                               
        0.36*10^ 2  XXX5X                                                                                               
        0.32*10^ 2  XXXXX                                                                                               
        0.28*10^ 2  XXXXX                                                                                               
        0.24*10^ 2  XXXXX2                                                                                              
        0.20*10^ 2  XXXXXX7                                                                                             
        0.16*10^ 2  XXXXXXX  5                                                                                          
        0.12*10^ 2  XXXXXXXXXX2525                                                                                      
        0.08*10^ 2  XXXXXXXXXXXXXXX27  2                                                                                
        0.04*10^ 2  XXXXXXXXXXXXXXXXXX8X5838555X85 88 553 X33833383X 553 35833 853353                                   

          Contents                                                                                                      
            *10^ 1  9753421111010100000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  2264019224909085743523132224320330221041131113140221012311032112100000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =         520    Mean =  1.0177e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  5.2000e+02    Rms  =  1.4340e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+01


  2013-09-20 16:01       number of interactions

        1.68*10^ 2   8                                                                                                  
        1.62*10^ 2   X                                                                                                  
        1.56*10^ 2   X                                                                                                  
        1.50*10^ 2   X                                                                                                  
        1.44*10^ 2   X                                                                                                  
        1.38*10^ 2   X                                                                                                  
        1.32*10^ 2   X                                                                                                  
        1.26*10^ 2   X                                                                                                  
        1.20*10^ 2   X                                                                                                  
        1.14*10^ 2   X                                                                                                  
        1.08*10^ 2   X                                                                                                  
        1.02*10^ 2   X                                                                                                  
        0.96*10^ 2   X                                                                                                  
        0.90*10^ 2   X7                                                                                                 
        0.84*10^ 2   XX                                                                                                 
        0.78*10^ 2   XX                                                                                                 
        0.72*10^ 2   XX                                                                                                 
        0.66*10^ 2   XX                                                                                                 
        0.60*10^ 2   XX3                                                                                                
        0.54*10^ 2   XXX                                                                                                
        0.48*10^ 2   XXX                                                                                                
        0.42*10^ 2   XXX                                                                                                
        0.36*10^ 2   XXX                                                                                                
        0.30*10^ 2   XXX5                                                                                               
        0.24*10^ 2   XXXX733                                                                                            
        0.18*10^ 2   XXXXXXX                                                                                            
        0.12*10^ 2   XXXXXXXXX 223            3                                                                         
        0.06*10^ 2   XXXXXXXXX5XXXX7X88X837722X257 52 2 2                                                               

          Contents                                                                                                      
            *10^ 2  0100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0685222211000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0786720022377864655652441181340310101000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 1  0000000000011111111112222222222333333333344444444445555555555666666666677777777778888888888999999999
            *10^ 0  0012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789012345678
            *10^-1  5555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555555

   Entries  =         520    Mean =  5.8038e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  5.2000e+02    Rms  =  7.1557e+00    Overflow  =  0.0000e+00    High edge =  9.9500e+01


  2013-09-20 16:01       pT spectrum for b < 0.5

        4.05*10^ 0                                  7              7    7                                               
        3.90*10^ 0                                  X              X    X                                               
        3.75*10^ 0                                  X              X    X                                               
        3.60*10^ 0                                  X              X    X                                               
        3.45*10^ 0                                  X              X    X                                               
        3.30*10^ 0                                  X              X    X                                               
        3.15*10^ 0                                  X              X    X                                               
        3.00*10^ 0                           X      X   X    X     X X  X   X                                           
        2.85*10^ 0                           X      X   X    X     X X  X   X                                           
        2.70*10^ 0                           X      X   X    X     X X  X   X                                           
        2.55*10^ 0                           X      X   X    X     X X  X   X                                           
        2.40*10^ 0                           X      X   X    X     X X  X   X                                           
        2.25*10^ 0                           X      X   X    X     X X  X   X                                           
        2.10*10^ 0                           X   3  X33 X3 3 X 3   X X  X   X 3       3       33                        
        1.95*10^ 0                           X   X  XXX XX X X X   X X  X   X X       X       XX                        
        1.80*10^ 0                           X   X  XXX XX X X X   X X  X   X X       X       XX                        
        1.65*10^ 0                           X   X  XXX XX X X X   X X  X   X X       X       XX                        
        1.50*10^ 0                           X   X  XXX XX X X X   X X  X   X X       X       XX                        
        1.35*10^ 0                           X   X  XXX XX X X X   X X  X   X X       X       XX                        
        1.20*10^ 0                           X   X  XXX XX X X X   X X  X   X X       X       XX                        
        1.05*10^ 0                           X 7 X  XXX7XX7X X7X777X7X7 X77 X7X  7    X7 7    XX7   7 77          7     
        0.90*10^ 0                           X X X  XXXXXXXX XXXXXXXXXX XXX XXX  X    XX X    XXX   X XX          X     
        0.75*10^ 0                           X X X  XXXXXXXX XXXXXXXXXX XXX XXX  X    XX X    XXX   X XX          X     
        0.60*10^ 0                           X X X  XXXXXXXX XXXXXXXXXX XXX XXX  X    XX X    XXX   X XX          X     
        0.45*10^ 0                           X X X  XXXXXXXX XXXXXXXXXX XXX XXX  X    XX X    XXX   X XX          X     
        0.30*10^ 0                           X X X  XXXXXXXX XXXXXXXXXX XXX XXX  X    XX X    XXX   X XX          X     
        0.15*10^ 0                           X X X  XXXXXXXX XXXXXXXXXX XXX XXX  X    XX X    XXX   X XX          X     

          Contents                                                                                                      
            *10^ 0  0000000000000000000000000301020042213212031211141310411031200100002101000022100010110000000000100000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =          70    Mean =  9.8672e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  6.7000e+01    Rms  =  3.2118e+00    Overflow  =  3.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:01       pT spectrum for 0.5 < b < 1

        1.00*10^ 1                 X                                                                                    
        0.96*10^ 1                 X                                                                                    
        0.92*10^ 1                 X              5                                                                     
        0.88*10^ 1                 X              X                                                                     
        0.84*10^ 1                 X              X                                                                     
        0.80*10^ 1                 X             XX                                                                     
        0.76*10^ 1                 X             XX                                                                     
        0.72*10^ 1                5X         5 5 XX    55                                                               
        0.68*10^ 1                XX         X X XX    XX                                                               
        0.64*10^ 1                XX         X X XX    XX                                                               
        0.60*10^ 1                XX X    X  X X XX    XX                                                               
        0.56*10^ 1                XX X    X  X X XX    XX                                                               
        0.52*10^ 1                XX X 5  X  X X XX   5XX                                                               
        0.48*10^ 1                XX X X  X  X X XX   XXX                                                               
        0.44*10^ 1                XX X X  X  X X XX   XXX                                                               
        0.40*10^ 1              XXXXXX XX X  X X XXXX XXX                                                               
        0.36*10^ 1              XXXXXX XX X  X X XXXX XXX                                                               
        0.32*10^ 1              XXXXXX5XX X55X X XXXX5XXX 5  5   5                                                      
        0.28*10^ 1              XXXXXXXXX XXXX X XXXXXXXX X  X   X                                                      
        0.24*10^ 1              XXXXXXXXX XXXX X XXXXXXXX X  X   X                                                      
        0.20*10^ 1          X   XXXXXXXXX XXXXXXXXXXXXXXXXX  X X XXXXX X       X   X    X                               
        0.16*10^ 1          X   XXXXXXXXX XXXXXXXXXXXXXXXXX  X X XXXXX X       X   X    X                               
        0.12*10^ 1     5   5X  5XXXXXXXXX5XXXXXXXXXXXXXXXXX5 X X5XXXXX5X5 555  X55 X    X 55     5               55     
        0.08*10^ 1     X   XX  XXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXXXXXXXXX XXX  XXX X    X XX     X               XX     
        0.04*10^ 1     X   XX  XXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXXXXXXXXX XXX  XXX X    X XX     X               XX     

          Contents                                                                                                      
            *10^ 1  0000000000000001000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0001000120014470463541633727289443577231030213222212101110021102000020110000010000000000000001100000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =         176    Mean =  6.2688e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.7300e+02    Rms  =  3.1882e+00    Overflow  =  3.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:01       pT spectrum for 1 < b < 1.5

        1.50*10^ 1                  X                                                                                   
        1.44*10^ 1                  X                                                                                   
        1.38*10^ 1                  X                                                                                   
        1.32*10^ 1                 7X                                                                                   
        1.26*10^ 1                 XX                                                                                   
        1.20*10^ 1                 XX                                                                                   
        1.14*10^ 1                3XX      3                                                                            
        1.08*10^ 1                XXX      X                                                                            
        1.02*10^ 1                XXX  7   X                                                                            
        0.96*10^ 1                XXX  X   X                                                                            
        0.90*10^ 1              X XXX  X   X                                                                            
        0.84*10^ 1             3X3XXX3 X   X                                                                            
        0.78*10^ 1             XXXXXXX X   X                                                                            
        0.72*10^ 1          7 7XXXXXXX X7 7X                                                                            
        0.66*10^ 1          X XXXXXXXX XX XX                                                                            
        0.60*10^ 1         XX XXXXXXXXXXX XX             X                                                              
        0.54*10^ 1         XX XXXXXXXXXXX3XX3      33    X                                                              
        0.48*10^ 1         XX XXXXXXXXXXXXXXX      XX    X                                                              
        0.42*10^ 1        7XX XXXXXXXXXXXXXXX7     XX  7 X                                                              
        0.36*10^ 1        XXX XXXXXXXXXXXXXXXX     XX  X X                                                              
        0.30*10^ 1        XXX XXXXXXXXXXXXXXXXXXX  XX  XXX   X                                                          
        0.24*10^ 1   33333XXX XXXXXXXXXXXXXXXXXXX33XX3 XXX 33X         3                                                
        0.18*10^ 1   XXXXXXXX XXXXXXXXXXXXXXXXXXXXXXXX XXX XXX         X                                                
        0.12*10^ 1   XXXXXXXX7XXXXXXXXXXXXXXXXXXXXXXXX7XXX XXX  77 77  X 77   7       7          7        7         7 7 
        0.06*10^ 1   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXX  XX XX  X XX   X       X          X        X         X X 

          Contents                                                                                                      
            *10^ 1  0000000000000011100100010000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0222224671789813586075715433322552143602230011011002011000100000001000000000010000000010000000001010
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =         225    Mean =  4.4486e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.2200e+02    Rms  =  2.9310e+00    Overflow  =  3.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:01       pT spectrum for 1.5 < b

        5.00*10^ 0         X                                                                                            
        4.80*10^ 0         X                                                                                            
        4.60*10^ 0         X                                                                                            
        4.40*10^ 0         X                                                                                            
        4.20*10^ 0         X                                                                                            
        4.00*10^ 0         X XX  X X   X                                                                                
        3.80*10^ 0         X XX  X X   X                                                                                
        3.60*10^ 0         X XX  X X   X                                                                                
        3.40*10^ 0         X XX  X X   X                                                                                
        3.20*10^ 0         X XX  X X   X                                                                                
        3.00*10^ 0         X XX XX X   X   X                                                                            
        2.80*10^ 0         X XX XX X   X   X                                                                            
        2.60*10^ 0         X XX XX X   X   X                                                                            
        2.40*10^ 0         X XX XX X   X   X                                                                            
        2.20*10^ 0         X XX XX X   X   X                                                                            
        2.00*10^ 0         XXXXXXX X   X   XXX  X                                                                       
        1.80*10^ 0         XXXXXXX X   X   XXX  X                                                                       
        1.60*10^ 0         XXXXXXX X   X   XXX  X                                                                       
        1.40*10^ 0         XXXXXXX X   X   XXX  X                                                                       
        1.20*10^ 0         XXXXXXX X   X   XXX  X                                                                       
        1.00*10^ 0        XXXXXXXXXX  XXXX XXX  X     X   X                                            X                
        0.80*10^ 0        XXXXXXXXXX  XXXX XXX  X     X   X                                            X                
        0.60*10^ 0        XXXXXXXXXX  XXXX XXX  X     X   X                                            X                
        0.40*10^ 0        XXXXXXXXXX  XXXX XXX  X     X   X                                            X                
        0.20*10^ 0        XXXXXXXXXX  XXXX XXX  X     X   X                                            X                

          Contents                                                                                                      
            *10^ 0  0000001524423414001411032200200000100010000000000000000000000000000000000000000000010000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 0  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^-1  0246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =          49    Mean =  3.4878e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  4.9000e+01    Rms  =  2.4201e+00    Overflow  =  0.0000e+00    High edge =  2.0000e+01


  2013-09-20 16:01       b spectrum for pT < 2

        5.00*10^ 0                                   X                                                                  
        4.80*10^ 0                                   X                                                                  
        4.60*10^ 0                                   X                                                                  
        4.40*10^ 0                                   X                                                                  
        4.20*10^ 0                                   X                                                                  
        4.00*10^ 0                                X  X   X                                                              
        3.80*10^ 0                                X  X   X                                                              
        3.60*10^ 0                                X  X   X                                                              
        3.40*10^ 0                                X  X   X                                                              
        3.20*10^ 0                                X  X   X                                                              
        3.00*10^ 0                           X   XX XX   X    X                                                         
        2.80*10^ 0                           X   XX XX   X    X                                                         
        2.60*10^ 0                           X   XX XX   X    X                                                         
        2.40*10^ 0                           X   XX XX   X    X                                                         
        2.20*10^ 0                           X   XX XX   X    X                                                         
        2.00*10^ 0                          XX   XX XXXXXX X  X                                                         
        1.80*10^ 0                          XX   XX XXXXXX X  X                                                         
        1.60*10^ 0                          XX   XX XXXXXX X  X                                                         
        1.40*10^ 0                          XX   XX XXXXXX X  X                                                         
        1.20*10^ 0                          XX   XX XXXXXX X  X                                                         
        1.00*10^ 0                      X X XX XXXXXXXXXXX X  XX    X   X      X                                        
        0.80*10^ 0                      X X XX XXXXXXXXXXX X  XX    X   X      X                                        
        0.60*10^ 0                      X X XX XXXXXXXXXXX X  XX    X   X      X                                        
        0.40*10^ 0                      X X XX XXXXXXXXXXX X  XX    X   X      X                                        
        0.20*10^ 0                      X X XX XXXXXXXXXXX X  XX    X   X      X                                        

          Contents                                                                                                      
            *10^ 0  0000000000000000000010102301134135222402003100001000100000010000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^-1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^-2  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =          44    Mean =  1.3682e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  4.4000e+01    Rms  =  3.0410e-01    Overflow  =  0.0000e+00    High edge =  4.0000e+00


  2013-09-20 16:01       b spectrum for 2 < pT < 5

        1.50*10^ 1                          X                                                                           
        1.44*10^ 1                          X33 3                                                                       
        1.38*10^ 1                          XXX X                                                                       
        1.32*10^ 1                          XXX X7                                                                      
        1.26*10^ 1                          XXX XX                                                                      
        1.20*10^ 1                          XXX XX      X                                                               
        1.14*10^ 1                          XXX XX 3    X                                                               
        1.08*10^ 1                          XXX XX X    X                                                               
        1.02*10^ 1                         7XXX XX X 7  X                                                               
        0.96*10^ 1                         XXXX XX X X  X                                                               
        0.90*10^ 1                         XXXXXXXXXXX  X                                                               
        0.84*10^ 1                         XXXXXXXXXXX  X                                                               
        0.78*10^ 1                         XXXXXXXXXXX  X                                                               
        0.72*10^ 1                         XXXXXXXXXXX77X                                                               
        0.66*10^ 1                         XXXXXXXXXXXXXX                                                               
        0.60*10^ 1                   X X X XXXXXXXXXXXXXX X                                                             
        0.54*10^ 1                   X X X3XXXXXXXXXXXXXX X                                                             
        0.48*10^ 1                   X X XXXXXXXXXXXXXXXX X                                                             
        0.42*10^ 1                   X7X XXXXXXXXXXXXXXXX X                                                             
        0.36*10^ 1                   XXX XXXXXXXXXXXXXXXX X                                                             
        0.30*10^ 1                X  XXX XXXXXXXXXXXXXXXXXX  X XX                                                       
        0.24*10^ 1                X 3XXX3XXXXXXXXXXXXXXXXXX33X XX3    3                                                 
        0.18*10^ 1                X XXXXXXXXXXXXXXXXXXXXXXXXXX XXX    X                                                 
        0.12*10^ 1               7X7XXXXXXXXXXXXXXXXXXXXXXXXXX7XXX 77 X 7        7                                      
        0.06*10^ 1               XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX X X        X                                      

          Contents                                                                                                      
            *10^ 1  0000000000000000000000011110110101001000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000000131264626505449439190772362231332011020100000000100000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^-1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^-2  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         221    Mean =  1.1869e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.2100e+02    Rms  =  3.0981e-01    Overflow  =  0.0000e+00    High edge =  4.0000e+00


  2013-09-20 16:01       b spectrum for 5 < pT < 15

        1.30*10^ 1                  X                                                                                   
        1.25*10^ 1                  X                                                                                   
        1.20*10^ 1                  X                                                                                   
        1.15*10^ 1                  X                                                                                   
        1.10*10^ 1                 XX  X                                                                                
        1.05*10^ 1                 XX  X                                                                                
        1.00*10^ 1             X   XX XX                                                                                
        0.95*10^ 1             X   XX XX                                                                                
        0.90*10^ 1        X    X   XXXXX X                                                                              
        0.85*10^ 1        X    X   XXXXX X                                                                              
        0.80*10^ 1        X    X   XXXXX X    X X                                                                       
        0.75*10^ 1        X    X   XXXXX X    X X                                                                       
        0.70*10^ 1        X    X X XXXXX XXXX X XX                                                                      
        0.65*10^ 1        X    X X XXXXX XXXX X XX                                                                      
        0.60*10^ 1     X XXX  XXXXXXXXXXXXXXX X XX                                                                      
        0.55*10^ 1     X XXX  XXXXXXXXXXXXXXX X XX                                                                      
        0.50*10^ 1     X XXXX XXXXXXXXXXXXXXX X XX X X X                                                                
        0.45*10^ 1     X XXXX XXXXXXXXXXXXXXX X XX X X X                                                                
        0.40*10^ 1     XXXXXX XXXXXXXXXXXXXXXXXXXXXX XXX                                                                
        0.35*10^ 1     XXXXXX XXXXXXXXXXXXXXXXXXXXXX XXX                                                                
        0.30*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX                                                               
        0.25*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXX                                                               
        0.20*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX                                                              
        0.15*10^ 1     XXXXXXXXXXXXXXXXXXXXXXXXXXXXX XXXXX                                                              
        0.10*10^ 1    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XXX X   X  X                                               
        0.05*10^ 1    XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX   XXX X   X  X                                               

          Contents                                                                                                      
            *10^ 1  0000000000010001101100000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0016469653606761390169777484874515453200011101000100100000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^-1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^-2  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         231    Mean =  7.8762e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.3100e+02    Rms  =  3.9193e-01    Overflow  =  0.0000e+00    High edge =  4.0000e+00


  2013-09-20 16:01       b spectrum for 15 < pT

        3.00*10^ 0          X                                                                                           
        2.88*10^ 0          X                                                                                           
        2.76*10^ 0          X                                                                                           
        2.64*10^ 0          X                                                                                           
        2.52*10^ 0          X                                                                                           
        2.40*10^ 0          X                                                                                           
        2.28*10^ 0          X                                                                                           
        2.16*10^ 0          X                                                                                           
        2.04*10^ 0         7X77                 7                                                                       
        1.92*10^ 0         XXXX                 X                                                                       
        1.80*10^ 0         XXXX                 X                                                                       
        1.68*10^ 0         XXXX                 X                                                                       
        1.56*10^ 0         XXXX                 X                                                                       
        1.44*10^ 0         XXXX                 X                                                                       
        1.32*10^ 0         XXXX                 X                                                                       
        1.20*10^ 0         XXXX                 X                                                                       
        1.08*10^ 0      3  XXXX 33     3333   3 X33    33   3                                                           
        0.96*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.84*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.72*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.60*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.48*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.36*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.24*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           
        0.12*10^ 0      X  XXXX XX     XXXX   X XXX    XX   X                                                           

          Contents                                                                                                      
            *10^ 0  0000100232201100000111100010211000011000100000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 0  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^-1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^-2  0482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =          24    Mean =  7.5167e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.4000e+01    Rms  =  4.2763e-01    Overflow  =  0.0000e+00    High edge =  4.0000e+00
pythia8-8.1.86.orig/examples/outref/out070000644000175000017500000027133212357054711016377 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:02:04    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide e+ with e- at a CM energy of 5.000e+02 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | GenericResonance                              9001 |   4.088e-01 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                500.00000 |    14000.000    10.00000             | 
 | Beams:idA                                     |                      -11 |         2212                         | 
 | Beams:idB                                     |                       11 |         2212                         | 
 | Main:timesAllowErrors                         |                        5 |           10           0             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberCount                              |                      100 |         1000           0             | 
 | PDF:lepton                                    |                      off |           on                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

      13  mu-              mu+                2  -3   0    0.10566    0.00000    0.00000    0.00000  6.58654e+05   0   1   0   1   0
              0     1   1.0000000   22      -12       11       14 

     130  K_L0                                1   0   0    0.49761    0.00000    0.00000    0.00000  1.53300e+04   0   1   0   1   0
              0     1   0.1952278    0      111      111      111 
              1     1   0.1254178    0      211     -211      111 
              2     1   0.2027688   22      -12       11      211 
              3     1   0.2027688   22       12      -11     -211 
              4     1   0.1352191   22      -14       13      211 
              5     1   0.1352191   22       14      -13     -211 
              6     1   0.0019673    0      211     -211 
              7     1   0.0008641    0      111      111 
              8     1   0.0005471    0       22       22 

     211  pi+              pi-                1   3   0    0.13957    0.00000    0.00000    0.00000  7.80450e+03   0   1   0   1   0
              0     1   0.9998770    0      -13       14 
              1     1   0.0001230    0      -11       12 

     321  K+               K-                 1   3   0    0.49368    0.00000    0.00000    0.00000  3.71300e+03   0   1   0   1   0
              0     1   0.6355250    0      -13       14 
              1     1   0.0000158    0      -11       12 
              2     1   0.2066081    0      211      111 
              3     1   0.0559022    0      211      211     -211 
              4     1   0.0176107    0      211      111      111 
              5     1   0.0507020   22       12      -11      111 
              6     1   0.0335313   22       14      -13      111 
              7     1   0.0000220    0      -11       12      111      111 
              8     1   0.0000409    0      -11       12      211     -211 
              9     1   0.0000140    0      -13       14      111      111 
             10     1   0.0000280    0      -13       14      211     -211 

    2112  n0               nbar0              2   0   0    0.93957    0.00000    0.00000    0.00000  2.65500e+14   0   1   0   1   0
              0     1   1.0000000   22      -12       11     2212 

  999999  GeneralResonance                    1   0   0  500.00000    1.00000    0.00000    0.00000  0.00000e+00   1   1   0   1   0
              0     1   0.2000000  101        1       -1 
              1     1   0.2000000  101        6       -6 
              2     1   0.2000000  101       15      -15 
              3     1   0.2000000  101       24      -24 
              4     1   0.2000000  101       25       25 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =    -11, pz =  2.500e+02, e =  2.500e+02, m =  5.110e-04.
 Beam B: id =     11, pz = -2.500e+02, e =  2.500e+02, m =  5.110e-04.

 In 1: id =  -11, x =  1.000e+00, pdf =  1.000e+00 at Q2 =  2.500e+05.
 In 2: id =   11, x =  1.000e+00, pdf =  1.000e+00 at same Q2.

 Subprocess GenericResonance with code 9001 is 2 -> 1.
 It has sHat =  2.500e+05.
     alphaEM =  7.971e-03,  alphaS =  1.067e-01    at Q2 =  2.500e+05.

 Impact parameter b =  0.000e+00 gives enhancement factor =  1.000e+00.
 Max pT scale for MPI =  5.000e+02, ISR =  5.000e+02, FSR =  5.000e+02.
 Number of MPI =     1, ISR =     0, FSRproc =     0, FSRreson =    20.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000    500.000    500.000
     1       -11   (e+)               -12     0     0     3     0     0     0      0.000      0.000    250.000    250.000      0.001
     2        11   (e-)               -12     0     0     4     0     0     0      0.000      0.000   -250.000    250.000      0.001
     3       -11   (e+)               -21     1     0     5     0     0     0      0.000      0.000    250.000    250.000      0.000
     4        11   (e-)               -21     2     0     5     0     0     0      0.000      0.000   -250.000    250.000      0.000
     5    999999   (GeneralResonance) -22     3     4     6     7     0     0      0.000      0.000      0.000    500.000    500.000
     6        24   (W+)               -22     5     0     8     9     0     0   -125.579    -97.357    176.267    250.835     81.238
     7       -24   (W-)               -22     5     0    10    11     0     0    125.579     97.357   -176.267    249.165     75.927
     8        -1   dbar                23     6     0     0     0     0   101      1.570    -37.647     43.395     57.472      0.330
     9         4   c                   23     6     0     0     0   101     0   -127.148    -59.710    132.872    193.363      1.500
    10         1   d                   23     7     0     0     0   102     0     78.044     58.729    -52.070    110.686      0.330
    11        -2   ubar                23     7     0     0     0     0   102     47.535     38.628   -124.196    138.479      0.330
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000     -0.000    500.000    500.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000    500.000    500.000
     1       -11   (e+)               -12     0     0     3     0     0     0      0.000      0.000    250.000    250.000      0.001
     2        11   (e-)               -12     0     0     4     0     0     0      0.000      0.000   -250.000    250.000      0.001
     3       -11   (e+)               -21     1     0     5     0     0     0      0.000      0.000    250.000    250.000      0.000
     4        11   (e-)               -21     2     0     5     0     0     0      0.000      0.000   -250.000    250.000      0.000
     5    999999   (GeneralResonance) -22     3     4     6     7     0     0      0.000      0.000      0.000    500.000    500.000
     6        24   (W+)               -22     5     0     8     9     0     0   -125.579    -97.357    176.267    250.835     81.238
     7       -24   (W-)               -22     5     0    31    32     0     0    125.579     97.357   -176.267    249.165     75.927
     8        -1   (dbar)             -23     6     0    12    12     0   101      1.570    -37.647     43.395     57.472      0.330
     9         4   (c)                -23     6     0    10    11   101     0   -127.148    -59.710    132.872    193.363      1.500
    10         4   (c)                -51     9     0   101   101   103     0   -104.864    -51.013    108.474    159.272      1.500
    11        21   (g)                -51     9     0    13    14   101   103    -22.277     -8.862     24.588     34.342      0.000
    12        -1   (dbar)             -52     8     8    15    15     0   101      1.563    -37.483     43.205     57.221      0.330
    13        21   (g)                -51    11     0    16    17   104   103    -19.739     -6.895     20.051     28.969      0.000
    14        21   (g)                -51    11     0    18    18   101   104     -2.500     -2.880      5.589      6.767      0.000
    15        -1   (dbar)             -52    12    12    24    24     0   101      1.525    -36.570     42.153     55.827      0.330
    16        21   (g)                -51    13     0    30    30   107   103    -17.811     -5.833     18.426     26.283      0.000
    17        21   (g)                -51    13     0    19    20   104   107     -2.203     -1.378      2.238      3.430      0.000
    18        21   (g)                -52    14    14    21    21   101   104     -2.225     -2.564      4.976      6.023      0.000
    19        21   (g)                -51    17     0    28    29   109   107     -0.414     -0.093      0.941      1.032      0.000
    20        21   (g)                -51    17     0   105   105   104   109     -3.023     -2.706      4.055      5.736      0.000
    21        21   (g)                -52    18    18    22    23   101   104     -0.992     -1.143      2.218      2.685      0.000
    22        21   (g)                -51    21     0   106   106   110   104     -1.229     -2.019      2.849      3.702      0.000
    23        21   (g)                -51    21     0    25    26   101   110      0.332     -1.396      1.987      2.451      0.000
    24        -1   (dbar)             -52    15    15    27    27     0   101      1.429    -34.298     39.534     52.359      0.330
    25        21   (g)                -51    23     0   107   107   111   110     -0.096     -3.361      4.411      5.546      0.000
    26        21   (g)                -51    23     0   108   108   101   111      0.871     -8.862     10.045     13.423      0.000
    27        -1   (dbar)             -52    24    24   109   109     0   101      0.986    -23.471     27.066     35.840      0.330
    28        21   (g)                -51    19     0   104   104   109   112     -2.572     -0.876      3.642      4.543      0.000
    29        21   (g)                -51    19     0   103   103   112   107     -2.194     -0.643      1.802      2.911      0.000
    30        21   (g)                -52    16    16   102   102   107   103    -13.459     -4.408     13.924     19.861      0.000
    31         1   (d)                -23     7     0    33    34   102     0     78.044     58.729    -52.070    110.686      0.330
    32        -2   (ubar)             -23     7     0    35    35     0   102     47.535     38.628   -124.196    138.479      0.330
    33         1   (d)                -51    31     0    42    43   114     0     72.548     56.133    -47.919    103.492      0.330
    34        21   (g)                -51    31     0    36    37   102   114      5.977      2.987     -5.410      8.597      0.000
    35        -2   (ubar)             -52    32    32    38    38     0   102     47.053     38.237   -122.938    137.076      0.330
    36        21   (g)                -51    34     0    44    44   117   114      6.667      3.196     -7.498     10.531      0.000
    37        21   (g)                -51    34     0    41    41   102   117      0.146      0.470     -0.095      0.501      0.000
    38        -2   (ubar)             -52    35    35    39    40     0   102     46.217     37.558   -120.754    134.642      0.330
    39        -2   (ubar)             -51    38     0    86    86     0   118     40.465     32.702   -103.914    116.212      0.330
    40        21   (g)                -51    38     0    47    47   118   102      5.762      4.887    -16.846     18.463      0.000
    41        21   (g)                -52    37    37    45    46   102   117      0.136      0.440     -0.088      0.469      0.000
    42         1   (d)                -51    33     0    48    49   119     0     71.354     55.193    -46.856    101.653      0.330
    43        21   (g)                -51    33     0    50    50   114   119      1.644      1.156     -1.568      2.549      0.000
    44        21   (g)                -52    36    36    54    55   117   114      6.218      2.981     -6.993      9.821      0.000
    45        21   (g)                -51    41     0    56    56   120   117      0.243      0.035     -1.650      1.669      0.000
    46        21   (g)                -51    41     0    53    53   102   120      1.101      1.429     -1.970      2.671      0.000
    47        21   (g)                -52    40    40    51    52   118   102      4.554      3.862    -13.314     14.591      0.000
    48         1   (d)                -51    42     0    74    74   121     0     17.388     13.095    -10.881     24.338      0.330
    49        21   (g)                -51    42     0    69    70   119   121     54.262     42.306    -36.258     77.774      0.000
    50        21   (g)                -52    43    43    71    71   114   119      1.348      0.948     -1.286      2.090      0.000
    51        21   (g)                -51    47     0    85    85   118   122      2.324      1.650     -4.932      5.696      0.000
    52        21   (g)                -51    47     0    62    62   122   102      2.566      2.648     -8.983      9.711      0.000
    53        21   (g)                -52    46    46    60    61   102   120      0.765      0.992     -1.369      1.856      0.000
    54        21   (g)                -51    44     0    78    78   123   114      3.547      1.410     -4.559      5.946      0.000
    55        21   (g)                -51    44     0    59    59   117   123      2.706      1.576     -2.675      4.119      0.000
    56        21   (g)                -52    45    45    57    58   120   117      0.208      0.030     -1.409      1.425      0.000
    57        21   (g)                -51    56     0    65    65   120   124      0.846     -0.083     -1.582      1.796      0.000
    58        21   (g)                -51    56     0    80    80   124   117      0.237      0.622     -0.692      0.960      0.000
    59        21   (g)                -52    55    55    79    79   117   123      1.831      1.066     -1.810      2.787      0.000
    60        21   (g)                -51    53     0    63    64   126   120      0.498      1.199     -2.551      2.863      0.000
    61        21   (g)                -51    53     0    66    67   102   126      1.173      0.728     -1.989      2.421      0.000
    62        21   (g)                -52    52    52    84    84   122   102      1.660      1.713     -5.812      6.283      0.000
    63        21   (g)                -51    60     0    68    68   126   127      0.253      0.892     -2.433      2.604      0.000
    64        21   (g)                -51    60     0    72     0   127   120      0.691      0.263     -0.953      1.207      0.000
    65        21   (g)                -52    57    57    72     0   120   124      0.400     -0.039     -0.747      0.848      0.000
    66        21   (g)                -51    61     0    83    83   102   128      0.058      0.362     -1.338      1.388      0.000
    67        21   (g)                -51    61     0    73     0   128   126      1.300      1.019     -2.433      2.941      0.000
    68        21   (g)                -52    63    63    73     0   126   127      0.068      0.239     -0.651      0.696      0.000
    69        21   (g)                -51    49     0    75    75   129   121     49.903     38.829    -33.685     71.642      0.000
    70        21   (g)                -51    49     0    76    76   119   129      4.595      3.642     -2.798      6.497      0.000
    71        21   (g)                -52    50    50    77    77   114   119      1.112      0.782     -1.061      1.724      0.000
    72        21   (g)                -73    64    65    81    81   127   124      1.091      0.224     -1.700      2.055      0.301
    73        21   (g)                -73    67    68    82    82   128   127      1.368      1.258     -3.084      3.637      0.517
    74         1   (d)                -71    48    48    87   100   121     0     17.388     13.095    -10.881     24.338      0.330
    75        21   (g)                -71    69    69    87   100   129   121     49.903     38.829    -33.685     71.642      0.000
    76        21   (g)                -71    70    70    87   100   119   129      4.595      3.642     -2.798      6.497      0.000
    77        21   (g)                -71    71    71    87   100   114   119      1.112      0.782     -1.061      1.724      0.000
    78        21   (g)                -71    54    54    87   100   123   114      3.547      1.410     -4.559      5.946      0.000
    79        21   (g)                -71    59    59    87   100   117   123      1.831      1.066     -1.810      2.787      0.000
    80        21   (g)                -71    58    58    87   100   124   117      0.237      0.622     -0.692      0.960      0.000
    81        21   (g)                -71    72    72    87   100   127   124      1.091      0.224     -1.700      2.055      0.301
    82        21   (g)                -71    73    73    87   100   128   127      1.368      1.258     -3.084      3.637      0.517
    83        21   (g)                -71    66    66    87   100   102   128      0.058      0.362     -1.338      1.388      0.000
    84        21   (g)                -71    62    62    87   100   122   102      1.660      1.713     -5.812      6.283      0.000
    85        21   (g)                -71    51    51    87   100   118   122      2.324      1.650     -4.932      5.696      0.000
    86        -2   (ubar)             -71    39    39    87   100     0   118     40.465     32.702   -103.914    116.212      0.330
    87      -211   (pi-)              -83    74    86   149   150     0     0     24.222     19.115    -15.946     34.733      0.140
    88       321   (K+)               -83    74    86   151   152     0     0      8.099      6.118     -5.450     11.531      0.494
    89      -321   (K-)               -83    74    86   153   154     0     0     30.813     23.279    -19.889     43.441      0.494
    90       321   (K+)               -83    74    86   155   156     0     0      8.138      6.891     -6.362     12.427      0.494
    91      -313   (K*bar0)           -83    74    86   124   125     0     0      2.154      0.805     -1.839      3.065      0.851
    92      -211   (pi-)              -83    74    86   157   158     0     0      3.811      1.982     -5.066      6.643      0.140
    93       213   (rho+)             -84    74    86   126   127     0     0      1.166      0.921     -1.206      1.989      0.544
    94      -211   (pi-)              -84    74    86   159   160     0     0      0.864      0.593     -0.814      1.334      0.140
    95       321   (K+)               -84    74    86   161   162     0     0      0.669      0.270     -1.936      2.124      0.494
    96      -313   (K*bar0)           -84    74    86   128   129     0     0      1.439      1.564     -3.816      4.460      0.901
    97       111   (pi0)              -84    74    86   163   164     0     0      4.224      3.111    -11.048     12.231      0.135
    98       113   (rho0)             -84    74    86   130   131     0     0      5.876      5.354    -15.755     17.687      1.187
    99      -211   (pi-)              -84    74    86   165   166     0     0      5.716      4.169    -14.170     15.839      0.140
   100       221   (eta)              -84    74    86   167   169     0     0     28.386     23.188    -72.971     81.661      0.548
   101         4   (c)                -71    10    10   110   123   103     0   -104.864    -51.013    108.474    159.272      1.500
   102        21   (g)                -71    30    30   110   123   107   103    -13.459     -4.408     13.924     19.861      0.000
   103        21   (g)                -71    29    29   110   123   112   107     -2.194     -0.643      1.802      2.911      0.000
   104        21   (g)                -71    28    28   110   123   109   112     -2.572     -0.876      3.642      4.543      0.000
   105        21   (g)                -71    20    20   110   123   104   109     -3.023     -2.706      4.055      5.736      0.000
   106        21   (g)                -71    22    22   110   123   110   104     -1.229     -2.019      2.849      3.702      0.000
   107        21   (g)                -71    25    25   110   123   111   110     -0.096     -3.361      4.411      5.546      0.000
   108        21   (g)                -71    26    26   110   123   101   111      0.871     -8.862     10.045     13.423      0.000
   109        -1   (dbar)             -71    27    27   110   123     0   101      0.986    -23.471     27.066     35.840      0.330
   110       423   (D*0)              -83   101   109   170   171     0     0    -80.063    -38.765     83.186    121.806      2.007
   111       213   (rho+)             -83   101   109   132   133     0     0    -15.309     -7.144     15.851     23.180      0.813
   112      -211   (pi-)              -83   101   109   172   173     0     0     -2.233     -0.982      2.106      3.226      0.140
   113       113   (rho0)             -83   101   109   134   135     0     0     -7.030     -3.093      6.683     10.222      0.906
   114       323   (K*+)              -83   101   109   136   137     0     0     -8.524     -3.616      9.363     13.190      0.755
   115      -311   (Kbar0)            -83   101   109   138   138     0     0     -7.140     -2.347      7.416     10.570      0.498
   116       113   (rho0)             -84   101   109   139   140     0     0     -1.381     -1.093      1.999      2.735      0.616
   117       223   (omega)            -84   101   109   174   176     0     0     -3.752     -2.700      5.120      6.942      0.785
   118      -213   (rho-)             -84   101   109   141   142     0     0     -1.357     -1.349      1.801      2.719      0.699
   119       321   (K+)               -84   101   109   177   178     0     0     -0.202     -4.263      5.401      6.901      0.494
   120      -323   (K*-)              -84   101   109   143   144     0     0      0.374     -2.981      3.600      4.763      0.834
   121       211   (pi+)              -84   101   109   179   180     0     0     -0.073     -0.302      0.425      0.544      0.140
   122       221   (eta)              -84   101   109   181   183     0     0      0.251    -14.965     17.705     23.190      0.548
   123       113   (rho0)             -84   101   109   145   146     0     0      0.860    -13.756     15.611     20.847      0.957
   124      -321   (K-)               -91    91     0   184   186     0     0      1.925      0.835     -1.763      2.785      0.494
   125       211   (pi+)              -91    91     0   187   188     0     0      0.229     -0.030     -0.076      0.281      0.140
   126       211   (pi+)              -91    93     0   189   190     0     0      0.331      0.055     -0.369      0.518      0.140
   127       111   (pi0)              -91    93     0   191   192     0     0      0.835      0.866     -0.837      1.472      0.135
   128      -321   (K-)               -91    96     0   193   194     0     0      1.096      1.414     -3.451      3.918      0.494
   129       211   (pi+)              -91    96     0   195   196     0     0      0.344      0.150     -0.365      0.541      0.140
   130       211   (pi+)              -91    98     0   197   198     0     0      1.532      1.881     -5.676      6.174      0.140
   131      -211   (pi-)              -91    98     0   199   200     0     0      4.344      3.473    -10.079     11.513      0.140
   132       211   (pi+)              -91   111     0   201   202     0     0     -6.252     -3.324      6.529      9.632      0.140
   133       111   (pi0)              -91   111     0   203   204     0     0     -9.056     -3.820      9.323     13.548      0.135
   134       211   (pi+)              -91   113     0   205   206     0     0     -0.465     -0.169      0.702      0.870      0.140
   135      -211   (pi-)              -91   113     0   207   208     0     0     -6.565     -2.925      5.982      9.352      0.140
   136       311   (K0)               -91   114     0   147   147     0     0     -5.470     -2.150      5.845      8.304      0.498
   137       211   (pi+)              -91   114     0   209   210     0     0     -3.055     -1.466      3.518      4.886      0.140
   138       310   (K_S0)             -91   115   115   211   212     0     0     -7.140     -2.347      7.416     10.570      0.498
   139       211   (pi+)              -91   116     0   213   214     0     0     -0.757     -0.369      0.639      1.067      0.140
   140      -211   (pi-)              -91   116     0   215   216     0     0     -0.624     -0.724      1.360      1.668      0.140
   141      -211   (pi-)              -91   118     0   217   218     0     0     -0.136     -0.495      0.589      0.794      0.140
   142       111   (pi0)              -91   118     0   219   220     0     0     -1.221     -0.855      1.212      1.925      0.135
   143      -311   (Kbar0)            -91   120     0   148   148     0     0      0.209     -1.122      1.370      1.851      0.498
   144      -211   (pi-)              -91   120     0   221   222     0     0      0.165     -1.859      2.230      2.911      0.140
   145       211   (pi+)              -91   123     0   223   224     0     0      0.699     -5.047      5.436      7.452      0.140
   146      -211   (pi-)              -91   123     0   225   226     0     0      0.161     -8.709     10.175     13.395      0.140
   147       310   (K_S0)             -91   136   136   227   228     0     0     -5.470     -2.150      5.845      8.304      0.498
   148       130   (K_L0)             -91   143   143   229   231     0     0      0.209     -1.122      1.370      1.851      0.498
   149        13   (mu-)              -91    87     0   232   234     0     0     21.051     16.639    -13.886     30.213      0.106
   150       -14   nu_mubar            91    87     0     0     0     0     0      3.171      2.476     -2.059      4.520      0.000
   151       -13   (mu+)              -91    88     0   235   237     0     0      5.945      4.345     -4.154      8.454      0.106
   152        14   nu_mu               91    88     0     0     0     0     0      2.154      1.773     -1.297      3.077      0.000
   153        13   (mu-)              -91    89     0   238   240     0     0     17.734     13.618    -11.341     25.072      0.106
   154       -14   nu_mubar            91    89     0     0     0     0     0     13.079      9.661     -8.548     18.370      0.000
   155       211   (pi+)              -91    90     0   241   242     0     0      5.254      4.571     -4.346      8.210      0.140
   156       111   (pi0)              -91    90     0   243   244     0     0      2.885      2.319     -2.016      4.217      0.135
   157        13   (mu-)              -91    92     0   245   247     0     0      3.285      1.729     -4.346      5.716      0.106
   158       -14   nu_mubar            91    92     0     0     0     0     0      0.526      0.253     -0.720      0.927      0.000
   159        13   (mu-)              -91    94     0   248   250     0     0      0.750      0.546     -0.722      1.181      0.106
   160       -14   nu_mubar            91    94     0     0     0     0     0      0.114      0.046     -0.092      0.154      0.000
   161       211   (pi+)              -91    95     0   251   252     0     0      0.105      0.046     -0.155      0.238      0.140
   162       111   (pi0)              -91    95     0   253   254     0     0      0.564      0.224     -1.780      1.886      0.135
   163        22   gamma               91    97     0     0     0     0     0      1.805      1.274     -4.537      5.046      0.000
   164        22   gamma               91    97     0     0     0     0     0      2.419      1.837     -6.511      7.184      0.000
   165        13   (mu-)              -91    99     0   255   257     0     0      4.786      3.489    -11.798     13.201      0.106
   166       -14   nu_mubar            91    99     0     0     0     0     0      0.930      0.679     -2.373      2.638      0.000
   167       211   (pi+)              -91   100     0   258   259     0     0      9.118      7.417    -23.416     26.201      0.140
   168      -211   (pi-)              -91   100     0   260   261     0     0      9.772      8.148    -25.123     28.162      0.140
   169       111   (pi0)              -91   100     0   262   263     0     0      9.496      7.623    -24.432     27.299      0.135
   170       421   (D0)               -91   110     0   264   266     0     0    -78.856    -38.089     81.930    119.937      1.865
   171        22   gamma               91   110     0     0     0     0     0     -1.207     -0.676      1.256      1.869      0.000
   172        13   (mu-)              -91   112     0   267   269     0     0     -1.645     -0.695      1.526      2.352      0.106
   173       -14   nu_mubar            91   112     0     0     0     0     0     -0.588     -0.287      0.580      0.874      0.000
   174       211   (pi+)              -91   117     0   270   271     0     0     -1.611     -0.958      2.337      2.999      0.140
   175      -211   (pi-)              -91   117     0   272   273     0     0     -0.667     -0.666      0.790      1.238      0.140
   176       111   (pi0)              -91   117     0   274   275     0     0     -1.474     -1.076      1.992      2.705      0.135
   177       -13   (mu+)              -91   119     0   276   278     0     0     -0.008     -0.216      0.239      0.339      0.106
   178        14   nu_mu               91   119     0     0     0     0     0     -0.194     -4.046      5.162      6.562      0.000
   179       -13   (mu+)              -91   121     0   279   281     0     0     -0.030     -0.188      0.251      0.332      0.106
   180        14   nu_mu               91   121     0     0     0     0     0     -0.042     -0.114      0.174      0.212      0.000
   181       211   (pi+)              -91   122     0   282   283     0     0      0.048     -5.176      6.098      8.000      0.140
   182      -211   (pi-)              -91   122     0   284   285     0     0      0.090     -7.888      9.321     12.212      0.140
   183       111   (pi0)              -91   122     0   286   287     0     0      0.114     -1.901      2.286      2.978      0.135
   184      -211   (pi-)              -91   124     0   288   289     0     0      0.634      0.170     -0.542      0.862      0.140
   185      -211   (pi-)              -91   124     0   290   291     0     0      0.718      0.324     -0.596      0.998      0.140
   186       211   (pi+)              -91   124     0   292   293     0     0      0.573      0.341     -0.625      0.925      0.140
   187       -13   (mu+)              -91   125     0   294   296     0     0      0.207     -0.001     -0.074      0.244      0.106
   188        14   nu_mu               91   125     0     0     0     0     0      0.022     -0.029     -0.002      0.037      0.000
   189       -13   (mu+)              -91   126     0   297   299     0     0      0.312      0.042     -0.366      0.494      0.106
   190        14   nu_mu               91   126     0     0     0     0     0      0.019      0.013     -0.002      0.024      0.000
   191        22   gamma               91   127     0     0     0     0     0      0.676      0.753     -0.660      1.208      0.000
   192        22   gamma               91   127     0     0     0     0     0      0.159      0.112     -0.177      0.264      0.000
   193      -211   (pi-)              -91   128     0   300   301     0     0      0.866      0.886     -2.079      2.425      0.140
   194       111   (pi0)              -91   128     0   302   303     0     0      0.229      0.528     -1.372      1.494      0.135
   195       -13   (mu+)              -91   129     0   304   306     0     0      0.191      0.086     -0.216      0.319      0.106
   196        14   nu_mu               91   129     0     0     0     0     0      0.152      0.064     -0.149      0.222      0.000
   197       -13   (mu+)              -91   130     0   307   309     0     0      1.146      1.454     -4.335      4.715      0.106
   198        14   nu_mu               91   130     0     0     0     0     0      0.386      0.427     -1.341      1.459      0.000
   199        13   (mu-)              -91   131     0   310   312     0     0      3.198      2.521     -7.399      8.446      0.106
   200       -14   nu_mubar            91   131     0     0     0     0     0      1.147      0.952     -2.681      3.067      0.000
   201       -13   (mu+)              -91   132     0   313   315     0     0     -5.002     -2.650      5.258      7.727      0.106
   202        14   nu_mu               91   132     0     0     0     0     0     -1.250     -0.674      1.271      1.906      0.000
   203        22   gamma               91   133     0     0     0     0     0     -6.129     -2.566      6.219      9.101      0.000
   204        22   gamma               91   133     0     0     0     0     0     -2.927     -1.254      3.104      4.447      0.000
   205       -13   (mu+)              -91   134     0   316   318     0     0     -0.384     -0.126      0.527      0.672      0.106
   206        14   nu_mu               91   134     0     0     0     0     0     -0.081     -0.043      0.175      0.197      0.000
   207        13   (mu-)              -91   135     0   319   321     0     0     -6.210     -2.757      5.677      8.855      0.106
   208       -14   nu_mubar            91   135     0     0     0     0     0     -0.356     -0.168      0.304      0.497      0.000
   209       -13   (mu+)              -91   137     0   322   324     0     0     -2.820     -1.378      3.261      4.527      0.106
   210        14   nu_mu               91   137     0     0     0     0     0     -0.235     -0.088      0.257      0.360      0.000
   211       211   (pi+)              -91   138     0   325   326     0     0     -6.226     -1.958      6.486      9.202      0.140
   212      -211   (pi-)              -91   138     0   327   328     0     0     -0.914     -0.390      0.929      1.367      0.140
   213       -13   (mu+)              -91   139     0   329   331     0     0     -0.582     -0.317      0.499      0.836      0.106
   214        14   nu_mu               91   139     0     0     0     0     0     -0.175     -0.053      0.140      0.231      0.000
   215        13   (mu-)              -91   140     0   332   334     0     0     -0.557     -0.620      1.147      1.422      0.106
   216       -14   nu_mubar            91   140     0     0     0     0     0     -0.067     -0.104      0.213      0.246      0.000
   217        13   (mu-)              -91   141     0   335   337     0     0     -0.097     -0.300      0.350      0.482      0.106
   218       -14   nu_mubar            91   141     0     0     0     0     0     -0.040     -0.195      0.240      0.311      0.000
   219        22   gamma               91   142     0     0     0     0     0     -0.628     -0.426      0.532      0.927      0.000
   220        22   gamma               91   142     0     0     0     0     0     -0.592     -0.429      0.680      0.999      0.000
   221        13   (mu-)              -91   144     0   338   340     0     0      0.119     -1.290      1.508      1.991      0.106
   222       -14   nu_mubar            91   144     0     0     0     0     0      0.046     -0.569      0.722      0.921      0.000
   223       -13   (mu+)              -91   145     0   341   343     0     0      0.633     -4.606      4.994      6.824      0.106
   224        14   nu_mu               91   145     0     0     0     0     0      0.066     -0.441      0.442      0.628      0.000
   225        13   (mu-)              -91   146     0   344   346     0     0      0.138     -7.422      8.627     11.382      0.106
   226       -14   nu_mubar            91   146     0     0     0     0     0      0.023     -1.287      1.548      2.013      0.000
   227       211   (pi+)              -91   147     0   347   348     0     0     -2.610     -1.004      2.495      3.750      0.140
   228      -211   (pi-)              -91   147     0   349   350     0     0     -2.859     -1.146      3.351      4.554      0.140
   229       -14   nu_mubar            91   148     0     0     0     0     0      0.098     -0.464      0.719      0.861      0.000
   230        13   (mu-)              -91   148     0   351   353     0     0      0.118     -0.151      0.212      0.304      0.106
   231       211   (pi+)              -91   148     0   354   355     0     0     -0.007     -0.508      0.439      0.686      0.140
   232       -12   nu_ebar             91   149     0     0     0     0     0     14.956     11.821     -9.857     21.461      0.000
   233        11   e-                  91   149     0     0     0     0     0      0.637      0.492     -0.401      0.900      0.001
   234        14   nu_mu               91   149     0     0     0     0     0      5.457      4.325     -3.628      7.852      0.000
   235        12   nu_e                91   151     0     0     0     0     0      2.995      2.189     -2.039      4.233      0.000
   236       -11   e+                  91   151     0     0     0     0     0      2.112      1.539     -1.530      3.029      0.001
   237       -14   nu_mubar            91   151     0     0     0     0     0      0.837      0.617     -0.584      1.192      0.000
   238       -12   nu_ebar             91   153     0     0     0     0     0      8.343      6.442     -5.351     11.821      0.000
   239        11   e-                  91   153     0     0     0     0     0      9.055      6.910     -5.784     12.775      0.001
   240        14   nu_mu               91   153     0     0     0     0     0      0.335      0.266     -0.206      0.475      0.000
   241       -13   (mu+)              -91   155     0   356   358     0     0      3.924      3.384     -3.256      6.121      0.106
   242        14   nu_mu               91   155     0     0     0     0     0      1.329      1.187     -1.091      2.089      0.000
   243        22   gamma               91   156     0     0     0     0     0      1.651      1.404     -1.213      2.483      0.000
   244        22   gamma               91   156     0     0     0     0     0      1.234      0.915     -0.803      1.734      0.000
   245       -12   nu_ebar             91   157     0     0     0     0     0      1.101      0.575     -1.473      1.926      0.000
   246        11   e-                  91   157     0     0     0     0     0      1.866      0.959     -2.414      3.198      0.001
   247        14   nu_mu               91   157     0     0     0     0     0      0.317      0.196     -0.459      0.591      0.000
   248       -12   nu_ebar             91   159     0     0     0     0     0      0.356      0.276     -0.363      0.578      0.000
   249        11   e-                  91   159     0     0     0     0     0      0.081      0.029     -0.086      0.122      0.001
   250        14   nu_mu               91   159     0     0     0     0     0      0.313      0.241     -0.274      0.481      0.000
   251       -13   (mu+)              -91   161     0   359   361     0     0      0.084      0.017     -0.088      0.162      0.106
   252        14   nu_mu               91   161     0     0     0     0     0      0.021      0.029     -0.067      0.076      0.000
   253        22   gamma               91   162     0     0     0     0     0      0.043      0.046     -0.294      0.301      0.000
   254        22   gamma               91   162     0     0     0     0     0      0.522      0.179     -1.486      1.585      0.000
   255       -12   nu_ebar             91   165     0     0     0     0     0      0.700      0.500     -1.646      1.857      0.000
   256        11   e-                  91   165     0     0     0     0     0      2.318      1.689     -5.807      6.476      0.001
   257        14   nu_mu               91   165     0     0     0     0     0      1.768      1.301     -4.345      4.868      0.000
   258       -13   (mu+)              -91   167     0   362   364     0     0      8.092      6.616    -20.819     23.296      0.106
   259        14   nu_mu               91   167     0     0     0     0     0      1.027      0.801     -2.597      2.905      0.000
   260        13   (mu-)              -91   168     0   365   367     0     0      9.146      7.600    -23.498     26.336      0.106
   261       -14   nu_mubar            91   168     0     0     0     0     0      0.626      0.548     -1.625      1.826      0.000
   262        22   gamma               91   169     0     0     0     0     0      0.397      0.296     -0.950      1.071      0.000
   263        22   gamma               91   169     0     0     0     0     0      9.099      7.327    -23.482     26.227      0.000
   264       310   (K_S0)             -91   170     0   368   369     0     0    -42.992    -20.174     44.702     65.221      0.498
   265       211   (pi+)              -91   170     0   370   371     0     0     -1.952     -0.860      2.119      3.010      0.140
   266      -211   (pi-)              -91   170     0   372   373     0     0    -33.911    -17.055     35.109     51.706      0.140
   267       -12   nu_ebar             91   172     0     0     0     0     0     -0.371     -0.135      0.313      0.504      0.000
   268        11   e-                  91   172     0     0     0     0     0     -0.670     -0.315      0.603      0.954      0.001
   269        14   nu_mu               91   172     0     0     0     0     0     -0.605     -0.244      0.610      0.893      0.000
   270       -13   (mu+)              -91   174     0   374   376     0     0     -1.603     -0.955      2.334      2.991      0.106
   271        14   nu_mu               91   174     0     0     0     0     0     -0.008     -0.003      0.003      0.009      0.000
   272        13   (mu-)              -91   175     0   377   379     0     0     -0.474     -0.471      0.525      0.857      0.106
   273       -14   nu_mubar            91   175     0     0     0     0     0     -0.193     -0.195      0.264      0.381      0.000
   274        22   gamma               91   176     0     0     0     0     0     -0.721     -0.451      0.968      1.289      0.000
   275        22   gamma               91   176     0     0     0     0     0     -0.752     -0.625      1.025      1.417      0.000
   276        12   nu_e                91   177     0     0     0     0     0     -0.019     -0.128      0.125      0.180      0.000
   277       -11   e+                  91   177     0     0     0     0     0     -0.003     -0.091      0.075      0.118      0.001
   278       -14   nu_mubar            91   177     0     0     0     0     0      0.014      0.002      0.039      0.042      0.000
   279        12   nu_e                91   179     0     0     0     0     0      0.017     -0.056      0.075      0.095      0.000
   280       -11   e+                  91   179     0     0     0     0     0     -0.001     -0.063      0.031      0.070      0.001
   281       -14   nu_mubar            91   179     0     0     0     0     0     -0.046     -0.070      0.145      0.168      0.000
   282       -13   (mu+)              -91   181     0   380   382     0     0      0.061     -4.559      5.400      7.068      0.106
   283        14   nu_mu               91   181     0     0     0     0     0     -0.013     -0.617      0.698      0.932      0.000
   284        13   (mu-)              -91   182     0   383   385     0     0      0.071     -7.471      8.850     11.582      0.106
   285       -14   nu_mubar            91   182     0     0     0     0     0      0.019     -0.417      0.471      0.629      0.000
   286        22   gamma               91   183     0     0     0     0     0      0.113     -0.893      1.029      1.367      0.000
   287        22   gamma               91   183     0     0     0     0     0      0.001     -1.008      1.257      1.611      0.000
   288        13   (mu-)              -91   184     0   386   388     0     0      0.455      0.149     -0.412      0.640      0.106
   289       -14   nu_mubar            91   184     0     0     0     0     0      0.179      0.021     -0.130      0.222      0.000
   290        13   (mu-)              -91   185     0   389   391     0     0      0.594      0.268     -0.455      0.802      0.106
   291       -14   nu_mubar            91   185     0     0     0     0     0      0.125      0.056     -0.141      0.196      0.000
   292       -13   (mu+)              -91   186     0   392   394     0     0      0.544      0.297     -0.576      0.853      0.106
   293        14   nu_mu               91   186     0     0     0     0     0      0.029      0.044     -0.049      0.072      0.000
   294        12   nu_e                91   187     0     0     0     0     0      0.005     -0.010     -0.032      0.034      0.000
   295       -11   e+                  91   187     0     0     0     0     0      0.112     -0.016     -0.024      0.116      0.001
   296       -14   nu_mubar            91   187     0     0     0     0     0      0.090      0.025     -0.018      0.095      0.000
   297        12   nu_e                91   189     0     0     0     0     0      0.069     -0.015     -0.128      0.146      0.000
   298       -11   e+                  91   189     0     0     0     0     0      0.004     -0.001     -0.016      0.017      0.001
   299       -14   nu_mubar            91   189     0     0     0     0     0      0.239      0.058     -0.222      0.331      0.000
   300        13   (mu-)              -91   193     0   395   397     0     0      0.631      0.606     -1.471      1.714      0.106
   301       -14   nu_mubar            91   193     0     0     0     0     0      0.236      0.280     -0.609      0.710      0.000
   302        22   gamma               91   194     0     0     0     0     0      0.240      0.491     -1.215      1.332      0.000
   303        22   gamma               91   194     0     0     0     0     0     -0.011      0.037     -0.157      0.162      0.000
   304        12   nu_e                91   195     0     0     0     0     0      0.061      0.059     -0.095      0.128      0.000
   305       -11   e+                  91   195     0     0     0     0     0      0.004     -0.004     -0.036      0.036      0.001
   306       -14   nu_mubar            91   195     0     0     0     0     0      0.126      0.032     -0.085      0.156      0.000
   307        12   nu_e                91   197     0     0     0     0     0      0.179      0.241     -0.778      0.834      0.000
   308       -11   e+                  91   197     0     0     0     0     0      0.964      1.212     -3.542      3.866      0.001
   309       -14   nu_mubar            91   197     0     0     0     0     0      0.004      0.001     -0.015      0.016      0.000
   310       -12   nu_ebar             91   199     0     0     0     0     0      1.991      1.586     -4.657      5.308      0.000
   311        11   e-                  91   199     0     0     0     0     0      0.736      0.607     -1.708      1.956      0.001
   312        14   nu_mu               91   199     0     0     0     0     0      0.470      0.329     -1.034      1.182      0.000
   313        12   nu_e                91   201     0     0     0     0     0     -1.280     -0.694      1.312      1.960      0.000
   314       -11   e+                  91   201     0     0     0     0     0     -3.632     -1.898      3.841      5.617      0.001
   315       -14   nu_mubar            91   201     0     0     0     0     0     -0.090     -0.058      0.105      0.149      0.000
   316        12   nu_e                91   205     0     0     0     0     0      0.000     -0.002      0.028      0.028      0.000
   317       -11   e+                  91   205     0     0     0     0     0     -0.016     -0.003      0.044      0.046      0.001
   318       -14   nu_mubar            91   205     0     0     0     0     0     -0.368     -0.120      0.455      0.598      0.000
   319       -12   nu_ebar             91   207     0     0     0     0     0     -0.532     -0.238      0.488      0.760      0.000
   320        11   e-                  91   207     0     0     0     0     0     -0.236     -0.108      0.192      0.323      0.001
   321        14   nu_mu               91   207     0     0     0     0     0     -5.441     -2.411      4.998      7.772      0.000
   322        12   nu_e                91   209     0     0     0     0     0     -0.251     -0.119      0.258      0.379      0.000
   323       -11   e+                  91   209     0     0     0     0     0     -2.158     -1.070      2.495      3.468      0.001
   324       -14   nu_mubar            91   209     0     0     0     0     0     -0.411     -0.189      0.507      0.680      0.000
   325       -13   (mu+)              -91   211     0   398   400     0     0     -4.665     -1.437      4.861      6.890      0.106
   326        14   nu_mu               91   211     0     0     0     0     0     -1.561     -0.521      1.625      2.313      0.000
   327        13   (mu-)              -91   212     0   401   403     0     0     -0.759     -0.324      0.811      1.162      0.106
   328       -14   nu_mubar            91   212     0     0     0     0     0     -0.154     -0.066      0.118      0.205      0.000
   329        12   nu_e                91   213     0     0     0     0     0     -0.160     -0.040      0.102      0.194      0.000
   330       -11   e+                  91   213     0     0     0     0     0     -0.356     -0.239      0.332      0.542      0.001
   331       -14   nu_mubar            91   213     0     0     0     0     0     -0.066     -0.038      0.065      0.100      0.000
   332       -12   nu_ebar             91   215     0     0     0     0     0     -0.027     -0.059      0.078      0.102      0.000
   333        11   e-                  91   215     0     0     0     0     0     -0.138     -0.172      0.264      0.345      0.001
   334        14   nu_mu               91   215     0     0     0     0     0     -0.392     -0.388      0.805      0.976      0.000
   335       -12   nu_ebar             91   217     0     0     0     0     0     -0.011     -0.006      0.003      0.013      0.000
   336        11   e-                  91   217     0     0     0     0     0     -0.074     -0.292      0.344      0.458      0.001
   337        14   nu_mu               91   217     0     0     0     0     0     -0.012     -0.002      0.002      0.012      0.000
   338       -12   nu_ebar             91   221     0     0     0     0     0      0.089     -0.692      0.865      1.111      0.000
   339        11   e-                  91   221     0     0     0     0     0     -0.001     -0.005      0.002      0.005      0.001
   340        14   nu_mu               91   221     0     0     0     0     0      0.031     -0.593      0.641      0.874      0.000
   341        12   nu_e                91   223     0     0     0     0     0      0.075     -0.432      0.456      0.633      0.000
   342       -11   e+                  91   223     0     0     0     0     0      0.085     -0.765      0.791      1.103      0.001
   343       -14   nu_mubar            91   223     0     0     0     0     0      0.472     -3.409      3.747      5.088      0.000
   344       -12   nu_ebar             91   225     0     0     0     0     0     -0.011     -0.581      0.658      0.877      0.000
   345        11   e-                  91   225     0     0     0     0     0      0.032     -1.984      2.282      3.024      0.001
   346        14   nu_mu               91   225     0     0     0     0     0      0.118     -4.857      5.687      7.480      0.000
   347       -13   (mu+)              -91   227     0   404   406     0     0     -2.068     -0.767      1.984      2.968      0.106
   348        14   nu_mu               91   227     0     0     0     0     0     -0.542     -0.238      0.511      0.782      0.000
   349        13   (mu-)              -91   228     0   407   409     0     0     -2.478     -0.996      2.864      3.917      0.106
   350       -14   nu_mubar            91   228     0     0     0     0     0     -0.381     -0.150      0.487      0.636      0.000
   351       -12   nu_ebar             91   230     0     0     0     0     0      0.037      0.008      0.041      0.056      0.000
   352        11   e-                  91   230     0     0     0     0     0      0.071     -0.110      0.126      0.182      0.001
   353        14   nu_mu               91   230     0     0     0     0     0      0.010     -0.048      0.044      0.066      0.000
   354       -13   (mu+)              -91   231     0   410   412     0     0     -0.016     -0.466      0.427      0.641      0.106
   355        14   nu_mu               91   231     0     0     0     0     0      0.009     -0.042      0.012      0.045      0.000
   356        12   nu_e                91   241     0     0     0     0     0      0.538      0.488     -0.487      0.874      0.000
   357       -11   e+                  91   241     0     0     0     0     0      0.751      0.648     -0.640      1.181      0.001
   358       -14   nu_mubar            91   241     0     0     0     0     0      2.635      2.248     -2.129      4.066      0.000
   359        12   nu_e                91   251     0     0     0     0     0      0.065      0.013     -0.045      0.080      0.000
   360       -11   e+                  91   251     0     0     0     0     0      0.021      0.010      0.012      0.026      0.001
   361       -14   nu_mubar            91   251     0     0     0     0     0     -0.002     -0.006     -0.055      0.056      0.000
   362        12   nu_e                91   258     0     0     0     0     0      1.639      1.311     -4.139      4.641      0.000
   363       -11   e+                  91   258     0     0     0     0     0      5.721      4.722    -14.780     16.537      0.001
   364       -14   nu_mubar            91   258     0     0     0     0     0      0.732      0.582     -1.901      2.118      0.000
   365       -12   nu_ebar             91   260     0     0     0     0     0      3.054      2.543     -7.930      8.870      0.000
   366        11   e-                  91   260     0     0     0     0     0      1.052      0.904     -2.724      3.057      0.001
   367        14   nu_mu               91   260     0     0     0     0     0      5.039      4.152    -12.844     14.409      0.000
   368       211   (pi+)              -91   264     0   413   414     0     0    -38.520    -18.100     40.136     58.500      0.140
   369      -211   (pi-)              -91   264     0   415   416     0     0     -4.472     -2.074      4.566      6.721      0.140
   370       -13   (mu+)              -91   265     0   417   419     0     0     -1.271     -0.575      1.360      1.952      0.106
   371        14   nu_mu               91   265     0     0     0     0     0     -0.681     -0.285      0.759      1.059      0.000
   372        13   (mu-)              -91   266     0   420   422     0     0    -28.034    -14.081     29.051     42.757      0.106
   373       -14   nu_mubar            91   266     0     0     0     0     0     -5.877     -2.973      6.058      8.949      0.000
   374        12   nu_e                91   270     0     0     0     0     0     -0.895     -0.552      1.299      1.671      0.000
   375       -11   e+                  91   270     0     0     0     0     0      0.000     -0.004      0.003      0.005      0.001
   376       -14   nu_mubar            91   270     0     0     0     0     0     -0.709     -0.399      1.032      1.314      0.000
   377       -12   nu_ebar             91   272     0     0     0     0     0     -0.093     -0.072      0.067      0.136      0.000
   378        11   e-                  91   272     0     0     0     0     0     -0.150     -0.160      0.135      0.258      0.001
   379        14   nu_mu               91   272     0     0     0     0     0     -0.232     -0.239      0.323      0.464      0.000
   380        12   nu_e                91   282     0     0     0     0     0      0.053     -2.532      3.009      3.932      0.000
   381       -11   e+                  91   282     0     0     0     0     0      0.034     -1.560      1.838      2.411      0.001
   382       -14   nu_mubar            91   282     0     0     0     0     0     -0.025     -0.468      0.552      0.724      0.000
   383       -12   nu_ebar             91   284     0     0     0     0     0      0.045     -2.731      3.186      4.196      0.000
   384        11   e-                  91   284     0     0     0     0     0      0.041     -3.200      3.802      4.969      0.001
   385        14   nu_mu               91   284     0     0     0     0     0     -0.015     -1.540      1.862      2.417      0.000
   386       -12   nu_ebar             91   288     0     0     0     0     0      0.082      0.001     -0.082      0.117      0.000
   387        11   e-                  91   288     0     0     0     0     0      0.189      0.055     -0.122      0.232      0.001
   388        14   nu_mu               91   288     0     0     0     0     0      0.183      0.092     -0.207      0.292      0.000
   389       -12   nu_ebar             91   290     0     0     0     0     0      0.136      0.032     -0.083      0.162      0.000
   390        11   e-                  91   290     0     0     0     0     0      0.211      0.123     -0.137      0.280      0.001
   391        14   nu_mu               91   290     0     0     0     0     0      0.246      0.113     -0.235      0.359      0.000
   392        12   nu_e                91   292     0     0     0     0     0     -0.003      0.004     -0.006      0.008      0.000
   393       -11   e+                  91   292     0     0     0     0     0      0.049      0.010     -0.054      0.074      0.001
   394       -14   nu_mubar            91   292     0     0     0     0     0      0.498      0.283     -0.516      0.771      0.000
   395       -12   nu_ebar             91   300     0     0     0     0     0      0.034      0.066     -0.135      0.154      0.000
   396        11   e-                  91   300     0     0     0     0     0      0.386      0.316     -0.815      0.955      0.001
   397        14   nu_mu               91   300     0     0     0     0     0      0.210      0.224     -0.521      0.605      0.000
   398        12   nu_e                91   325     0     0     0     0     0     -1.257     -0.378      1.358      1.889      0.000
   399       -11   e+                  91   325     0     0     0     0     0     -0.926     -0.276      0.979      1.375      0.001
   400       -14   nu_mubar            91   325     0     0     0     0     0     -2.482     -0.783      2.524      3.625      0.000
   401       -12   nu_ebar             91   327     0     0     0     0     0     -0.053     -0.006      0.036      0.064      0.000
   402        11   e-                  91   327     0     0     0     0     0     -0.551     -0.219      0.602      0.845      0.001
   403        14   nu_mu               91   327     0     0     0     0     0     -0.156     -0.100      0.174      0.254      0.000
   404        12   nu_e                91   347     0     0     0     0     0     -0.121     -0.042      0.098      0.161      0.000
   405       -11   e+                  91   347     0     0     0     0     0     -0.027     -0.021      0.026      0.043      0.001
   406       -14   nu_mubar            91   347     0     0     0     0     0     -1.920     -0.704      1.860      2.765      0.000
   407       -12   nu_ebar             91   349     0     0     0     0     0     -0.670     -0.274      0.800      1.079      0.000
   408        11   e-                  91   349     0     0     0     0     0     -0.548     -0.208      0.567      0.816      0.001
   409        14   nu_mu               91   349     0     0     0     0     0     -1.261     -0.514      1.496      2.023      0.000
   410        12   nu_e                91   354     0     0     0     0     0      0.017     -0.012      0.010      0.023      0.000
   411       -11   e+                  91   354     0     0     0     0     0     -0.025     -0.330      0.285      0.437      0.001
   412       -14   nu_mubar            91   354     0     0     0     0     0     -0.008     -0.124      0.132      0.181      0.000
   413       -13   (mu+)              -91   368     0   423   425     0     0    -26.996    -12.688     28.092     40.975      0.106
   414        14   nu_mu               91   368     0     0     0     0     0    -11.524     -5.412     12.043     17.525      0.000
   415        13   (mu-)              -91   369     0   426   428     0     0     -3.277     -1.552      3.359      4.944      0.106
   416       -14   nu_mubar            91   369     0     0     0     0     0     -1.195     -0.523      1.207      1.777      0.000
   417        12   nu_e                91   370     0     0     0     0     0     -0.256     -0.111      0.250      0.375      0.000
   418       -11   e+                  91   370     0     0     0     0     0     -0.231     -0.066      0.236      0.336      0.001
   419       -14   nu_mubar            91   370     0     0     0     0     0     -0.785     -0.397      0.875      1.240      0.000
   420       -12   nu_ebar             91   372     0     0     0     0     0    -13.555     -6.768     14.010     20.636      0.000
   421        11   e-                  91   372     0     0     0     0     0    -11.302     -5.731     11.738     17.273      0.001
   422        14   nu_mu               91   372     0     0     0     0     0     -3.177     -1.583      3.302      4.848      0.000
   423        12   nu_e                91   413     0     0     0     0     0    -12.741     -6.021     13.247     19.340      0.000
   424       -11   e+                  91   413     0     0     0     0     0     -5.024     -2.319      5.221      7.607      0.001
   425       -14   nu_mubar            91   413     0     0     0     0     0     -9.231     -4.348      9.625     14.027      0.000
   426       -12   nu_ebar             91   415     0     0     0     0     0     -2.334     -1.121      2.447      3.562      0.000
   427        11   e-                  91   415     0     0     0     0     0     -0.885     -0.404      0.845      1.289      0.001
   428        14   nu_mu               91   415     0     0     0     0     0     -0.058     -0.027      0.067      0.092      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000     -0.000    500.000    500.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 Pythia::next(): 100 events have been generated 
 PYTHIA Warning in TimeShower::pTnext: negative dipole mass.  

 Pythia::next(): 200 events have been generated 
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  

 Pythia::next(): 300 events have been generated 

 Pythia::next(): 400 events have been generated 

 Pythia::next(): 500 events have been generated 

 Pythia::next(): 600 events have been generated 

 Pythia::next(): 700 events have been generated 

 Pythia::next(): 800 events have been generated 

 Pythia::next(): 900 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | GenericResonance                              9001 |        1053       1000       1000 |   3.894e-01  4.871e-10 |
 |                                                    |                                   |                        |
 | sum                                                |        1053       1000       1000 |   3.894e-01  4.871e-10 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      3   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |      2   Warning in TimeShower::pTnext: negative dipole mass.                                                   | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:02       energy spectrum of photons

        2.90*10^ 4  X                                                                                                   
        2.80*10^ 4  X                                                                                                   
        2.70*10^ 4  X                                                                                                   
        2.60*10^ 4  X                                                                                                   
        2.50*10^ 4  X                                                                                                   
        2.40*10^ 4  X                                                                                                   
        2.30*10^ 4  X                                                                                                   
        2.20*10^ 4  X                                                                                                   
        2.10*10^ 4  X                                                                                                   
        2.00*10^ 4  X                                                                                                   
        1.90*10^ 4  X                                                                                                   
        1.80*10^ 4  X                                                                                                   
        1.70*10^ 4  X                                                                                                   
        1.60*10^ 4  X                                                                                                   
        1.50*10^ 4  X                                                                                                   
        1.40*10^ 4  X                                                                                                   
        1.30*10^ 4  X                                                                                                   
        1.20*10^ 4  X                                                                                                   
        1.10*10^ 4  X                                                                                                   
        1.00*10^ 4  X                                                                                                   
        0.90*10^ 4  X                                                                                                   
        0.80*10^ 4  X                                                                                                   
        0.70*10^ 4  X                                                                                                   
        0.60*10^ 4  X                                                                                                   
        0.50*10^ 4  X4                                                                                                  
        0.40*10^ 4  XX                                                                                                  
        0.30*10^ 4  XX                                                                                                  
        0.20*10^ 4  XX8                                                                                                 
        0.10*10^ 4  XXXX643221111                                                                                       

          Contents                                                                                                      
            *10^ 4  2000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  9411000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0480632111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0400288870887543433232221211011010100010000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000111111111111111111111111111111111111111122222222222222222222
            *10^ 1  0000111122223333444455556666777788889999000011112222333344445555666677778888999900001111222233334444
            *10^ 0  0358035803580358035803580358035803580358035803580358035803580358035803580358035803580358035803580358

   Entries  =       38660    Mean =  3.4410e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.8660e+04    Rms  =  7.9886e+00    Overflow  =  0.0000e+00    High edge =  2.5000e+02


  2013-09-20 16:02       energy spectrum of e+ and e-

        3.12*10^ 4  8                                                                                                   
        3.00*10^ 4  X                                                                                                   
        2.88*10^ 4  X                                                                                                   
        2.76*10^ 4  X                                                                                                   
        2.64*10^ 4  X                                                                                                   
        2.52*10^ 4  X                                                                                                   
        2.40*10^ 4  X                                                                                                   
        2.28*10^ 4  X                                                                                                   
        2.16*10^ 4  X                                                                                                   
        2.04*10^ 4  X                                                                                                   
        1.92*10^ 4  X                                                                                                   
        1.80*10^ 4  X                                                                                                   
        1.68*10^ 4  X                                                                                                   
        1.56*10^ 4  X                                                                                                   
        1.44*10^ 4  X                                                                                                   
        1.32*10^ 4  X                                                                                                   
        1.20*10^ 4  X                                                                                                   
        1.08*10^ 4  X                                                                                                   
        0.96*10^ 4  X                                                                                                   
        0.84*10^ 4  X                                                                                                   
        0.72*10^ 4  X                                                                                                   
        0.60*10^ 4  X                                                                                                   
        0.48*10^ 4  X                                                                                                   
        0.36*10^ 4  X4                                                                                                  
        0.24*10^ 4  XX                                                                                                  
        0.12*10^ 4  XX95321111                                                                                          

          Contents                                                                                                      
            *10^ 4  3000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  0210000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  9815321110000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  4417228218544243322221211101111011001011010000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000111111111111111111111111111111111111111122222222222222222222
            *10^ 1  0000111122223333444455556666777788889999000011112222333344445555666677778888999900001111222233334444
            *10^ 0  0358035803580358035803580358035803580358035803580358035803580358035803580358035803580358035803580358

   Entries  =       37010    Mean =  2.9886e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.7010e+04    Rms  =  9.1781e+00    Overflow  =  0.0000e+00    High edge =  2.5000e+02


  2013-09-20 16:02       energy spectrum of p and pbar

        9.00*10^ 2   9                                                                                                  
        8.70*10^ 2   X                                                                                                  
        8.40*10^ 2   X                                                                                                  
        8.10*10^ 2  6X                                                                                                  
        7.80*10^ 2  XX                                                                                                  
        7.50*10^ 2  XX                                                                                                  
        7.20*10^ 2  XX                                                                                                  
        6.90*10^ 2  XX                                                                                                  
        6.60*10^ 2  XX                                                                                                  
        6.30*10^ 2  XX                                                                                                  
        6.00*10^ 2  XX                                                                                                  
        5.70*10^ 2  XX                                                                                                  
        5.40*10^ 2  XX                                                                                                  
        5.10*10^ 2  XX                                                                                                  
        4.80*10^ 2  XX9                                                                                                 
        4.50*10^ 2  XXX                                                                                                 
        4.20*10^ 2  XXX                                                                                                 
        3.90*10^ 2  XXX                                                                                                 
        3.60*10^ 2  XXX                                                                                                 
        3.30*10^ 2  XXX                                                                                                 
        3.00*10^ 2  XXX8                                                                                                
        2.70*10^ 2  XXXX                                                                                                
        2.40*10^ 2  XXXX                                                                                                
        2.10*10^ 2  XXXX7                                                                                               
        1.80*10^ 2  XXXXX                                                                                               
        1.50*10^ 2  XXXXX7                                                                                              
        1.20*10^ 2  XXXXXX62                                                                                            
        0.90*10^ 2  XXXXXXXX2                                                                                           
        0.60*10^ 2  XXXXXXXXX453                                                                                        
        0.30*10^ 2  XXXXXXXXXXXXX9X7544332212121121 111 11   11 1     1                                                 

          Contents                                                                                                      
            *10^ 2  7842211000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  9979040964432232111000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  7675009553589602531987646262463142212211022021100121000100000000001000100000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000111111111111111111111111111111111111111122222222222222222222
            *10^ 1  0000111122223333444455556666777788889999000011112222333344445555666677778888999900001111222233334444
            *10^ 0  0358035803580358035803580358035803580358035803580358035803580358035803580358035803580358035803580358

   Entries  =        3440    Mean =  1.0111e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  3.4400e+03    Rms  =  1.4563e+01    Overflow  =  0.0000e+00    High edge =  2.5000e+02


  2013-09-20 16:02       energy spectrum of neutrinos

        9.00*10^ 4  5                                                                                                   
        8.70*10^ 4  X                                                                                                   
        8.40*10^ 4  X                                                                                                   
        8.10*10^ 4  X                                                                                                   
        7.80*10^ 4  X                                                                                                   
        7.50*10^ 4  X                                                                                                   
        7.20*10^ 4  X                                                                                                   
        6.90*10^ 4  X                                                                                                   
        6.60*10^ 4  X                                                                                                   
        6.30*10^ 4  X                                                                                                   
        6.00*10^ 4  X                                                                                                   
        5.70*10^ 4  X                                                                                                   
        5.40*10^ 4  X                                                                                                   
        5.10*10^ 4  X                                                                                                   
        4.80*10^ 4  X                                                                                                   
        4.50*10^ 4  X                                                                                                   
        4.20*10^ 4  X                                                                                                   
        3.90*10^ 4  X                                                                                                   
        3.60*10^ 4  X                                                                                                   
        3.30*10^ 4  X                                                                                                   
        3.00*10^ 4  X                                                                                                   
        2.70*10^ 4  X                                                                                                   
        2.40*10^ 4  X                                                                                                   
        2.10*10^ 4  X                                                                                                   
        1.80*10^ 4  X                                                                                                   
        1.50*10^ 4  X                                                                                                   
        1.20*10^ 4  X                                                                                                   
        0.90*10^ 4  X5                                                                                                  
        0.60*10^ 4  XX                                                                                                  
        0.30*10^ 4  XXX5321111                                                                                          

          Contents                                                                                                      
            *10^ 4  8000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  8721000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  4585963322111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0661108440432977554444332224323221222211221111111111111111111011101111101011011000001000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000000000000000000000000111111111111111111111111111111111111111122222222222222222222
            *10^ 1  0000111122223333444455556666777788889999000011112222333344445555666677778888999900001111222233334444
            *10^ 0  0358035803580358035803580358035803580358035803580358035803580358035803580358035803580358035803580358

   Entries  =      104636    Mean =  3.1320e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0464e+05    Rms  =  1.0935e+01    Overflow  =  0.0000e+00    High edge =  2.5000e+02
pythia8-8.1.86.orig/examples/outref/out240000644000175000017500000034537412357054720016406 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:07:11    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

 *-----------------------  SusyLesHouches SUSY/BSM Interface  ------------------------*
 | Last Change 01 Aug 2012 - P. Skands
 | Parsing: cmssm.spc
 *------------------------------------------------------------------------------------*
 | 
 |   Spectrum Calculator was:   SOFTSUSY   version: 3.3.0
 |   Read SLHA spectrum from: cmssm.spc
 | 
 |  ~g                  m
 |     1000021   1146.878
 | 
 |  ~d                  m     ~dL     ~sL     ~bL     ~dR     ~sR     ~bR
 |     1000001   1055.611   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000003   1055.608   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000005    965.462   0.000   0.000   0.976   0.000   0.000   0.218  
 |     2000001   1011.023   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000003   1011.020   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000005   1007.759   0.000   0.000  -0.218   0.000   0.000   0.976  
 | 
 |  ~u                  m     ~uL     ~cL     ~tL     ~uR     ~cR     ~tR
 |     1000002   1052.787   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000004   1052.784   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000006    803.541   0.000   0.000   0.425   0.000   0.000   0.905  
 |     2000002   1014.342   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000004   1014.340   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000006   1011.028   0.000   0.000   0.905   0.000   0.000  -0.425  
 | 
 |  ~e                  m     ~eL    ~muL   ~tauL     ~eR    ~muR   ~tauR
 |     1000011    361.778   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000013    361.862   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000015    222.692   0.000   0.000   0.143   0.000   0.000   0.990  
 |     2000011    229.875   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000013    229.864   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000015    362.940   0.000   0.000   0.990   0.000   0.000  -0.143  
 | 
 |  ~nu                 m   ~nu_e  ~nu_mu ~nu_tau
 |     1000012    352.903   1.000   0.000   0.000  
 |     1000014    352.900   0.000   1.000   0.000  
 |     1000016    351.731   0.000   0.000   1.000  
 | 
 |  ~chi0               m      ~B    ~W_3    ~H_1    ~H_2
 |     1000022    204.168   0.996  -0.017   0.082  -0.034  
 |     1000023    386.197   0.037   0.971  -0.196   0.130  
 |     1000025   -639.639  -0.033   0.048   0.703   0.708  
 |     1000035    653.033  -0.076   0.232   0.678  -0.693  
 | 
 |  ~chi+               m   U:   ~W      ~H  |  V:   ~W      ~H
 |     1000024    386.332     0.961  -0.277  |    0.983  -0.186  
 |     1000037    652.680     0.277   0.961  |    0.186   0.983  
 | 
 |  Higgs      
 |     alpha       -0.107
 |     mu         634.226 (DRbar running value at Q = 873.811 GeV)
 |     tan(beta)    9.669 (DRbar running value at Q = 873.811 GeV)
 |     v          244.044 (DRbar running value at Q = 873.811 GeV)
 |     mA       5.400e+05 (DRbar running value at Q = 873.811 GeV)
 | 
 |  Gauge      
 |     g'           0.362 (DRbar running value at Q = 873.811 GeV)
 |     g            0.643 (DRbar running value at Q = 873.811 GeV)
 |     g3           1.061 (DRbar running value at Q = 873.811 GeV)
 | 
 *------------------------------------------------------------------------------------*

 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.000e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> gluino gluino                          1201 |   6.686e-11 |
 | q qbar -> gluino gluino                       1202 |   8.648e-12 |
 | q g -> ~d_L gluino + c.c.                     1203 |   9.987e-11 |
 | q g -> ~u_L gluino + c.c.                     1204 |   2.532e-10 |
 | q g -> ~s_L gluino + c.c.                     1205 |   5.542e-12 |
 | q g -> ~c_L gluino + c.c.                     1206 |   4.809e-12 |
 | q g -> ~b_1 gluino + c.c.                     1207 |   1.847e-12 |
 | q g -> ~t_1 gluino + c.c.                     1208 |   0.000e+00 |
 | q g -> ~d_R gluino + c.c.                     1209 |   1.152e-10 |
 | q g -> ~u_R gluino + c.c.                     1210 |   2.847e-10 |
 | q g -> ~s_R gluino + c.c.                     1211 |   6.152e-12 |
 | q g -> ~c_R gluino + c.c.                     1212 |   5.453e-12 |
 | q g -> ~b_2 gluino + c.c.                     1213 |   1.691e-12 |
 | q g -> ~t_2 gluino + c.c.                     1214 |   0.000e+00 |
 | g g -> ~d_L ~d_Lbar                           1215 |   3.904e-12 |
 | g g -> ~u_L ~u_Lbar                           1216 |   3.966e-12 |
 | g g -> ~s_L ~s_Lbar                           1217 |   3.904e-12 |
 | g g -> ~c_L ~c_Lbar                           1218 |   3.966e-12 |
 | g g -> ~b_1 ~b_1bar                           1219 |   7.970e-12 |
 | g g -> ~t_1 ~t_1bar                           1220 |   3.448e-11 |
 | g g -> ~d_R ~d_Rbar                           1221 |   5.208e-12 |
 | g g -> ~u_R ~u_Rbar                           1222 |   5.067e-12 |
 | g g -> ~s_R ~s_Rbar                           1223 |   5.208e-12 |
 | g g -> ~c_R ~c_Rbar                           1224 |   5.067e-12 |
 | g g -> ~b_2 ~b_2bar                           1225 |   5.351e-12 |
 | g g -> ~t_2 ~t_2bar                           1226 |   5.208e-12 |
 | q qbar' -> ~d_L ~d_Lbar                       1231 |   5.535e-12 |
 | q qbar' -> ~d_L ~s_Lbar                       1232 |   1.202e-12 |
 | q qbar' -> ~s_L ~d_Lbar                       1233 |   1.269e-13 |
 | q qbar' -> ~d_L ~b_1bar                       1234 |   4.254e-13 |
 | q qbar' -> ~b_1 ~d_Lbar                       1235 |   4.958e-14 |
 | q qbar' -> ~d_L ~d_Rbar                       1236 |   1.183e-11 |
 | q qbar' -> ~d_R ~d_Lbar                       1237 |   1.183e-11 |
 | q qbar' -> ~d_L ~s_Rbar                       1238 |   5.439e-12 |
 | q qbar' -> ~s_R ~d_Lbar                       1239 |   7.506e-13 |
 | q qbar' -> ~d_L ~b_2bar                       1240 |   1.353e-12 |
 | q qbar' -> ~b_2 ~d_Lbar                       1241 |   1.863e-13 |
 | q qbar' -> ~u_L ~u_Lbar                       1242 |   8.272e-12 |
 | q qbar' -> ~u_L ~c_Lbar                       1243 |   1.276e-12 |
 | q qbar' -> ~c_L ~u_Lbar                       1244 |   3.840e-14 |
 | q qbar' -> ~u_L ~t_1bar                       1245 |   0.000e+00 |
 | q qbar' -> ~t_1 ~u_Lbar                       1246 |   0.000e+00 |
 | q qbar' -> ~u_L ~u_Rbar                       1247 |   1.957e-11 |
 | q qbar' -> ~u_R ~u_Lbar                       1248 |   1.957e-11 |
 | q qbar' -> ~u_L ~c_Rbar                       1249 |   5.675e-12 |
 | q qbar' -> ~c_R ~u_Lbar                       1250 |   2.094e-13 |
 | q qbar' -> ~u_L ~t_2bar                       1251 |   0.000e+00 |
 | q qbar' -> ~t_2 ~u_Lbar                       1252 |   0.000e+00 |
 | q qbar' -> ~u_L ~d_Lbar + c.c.                1253 |   6.631e-12 |
 | q qbar' -> ~u_L ~s_Lbar + c.c.                1254 |   3.144e-12 |
 | q qbar' -> ~u_L ~b_1bar + c.c.                1255 |   1.133e-12 |
 | q qbar' -> ~u_L ~d_Rbar + c.c.                1256 |   3.640e-11 |
 | q qbar' -> ~u_L ~s_Rbar + c.c.                1257 |   1.337e-11 |
 | q qbar' -> ~u_L ~b_2bar + c.c.                1258 |   3.506e-12 |
 | q qbar' -> ~s_L ~s_Lbar                       1259 |   3.172e-12 |
 | q qbar' -> ~s_L ~b_1bar                       1260 |   2.275e-14 |
 | q qbar' -> ~b_1 ~s_Lbar                       1261 |   2.275e-14 |
 | q qbar' -> ~s_L ~d_Rbar                       1262 |   7.506e-13 |
 | q qbar' -> ~d_R ~s_Lbar                       1263 |   5.434e-12 |
 | q qbar' -> ~s_L ~s_Rbar                       1264 |   3.433e-13 |
 | q qbar' -> ~s_R ~s_Lbar                       1265 |   3.433e-13 |
 | q qbar' -> ~s_L ~b_2bar                       1266 |   8.524e-14 |
 | q qbar' -> ~b_2 ~s_Lbar                       1267 |   8.524e-14 |
 | q qbar' -> ~c_L ~c_Lbar                       1268 |   3.230e-12 |
 | q qbar' -> ~c_L ~t_1bar                       1269 |   0.000e+00 |
 | q qbar' -> ~t_1 ~c_Lbar                       1270 |   0.000e+00 |
 | q qbar' -> ~c_L ~u_Rbar                       1271 |   2.094e-13 |
 | q qbar' -> ~u_R ~c_Lbar                       1272 |   5.675e-12 |
 | q qbar' -> ~c_L ~c_Rbar                       1273 |   6.322e-14 |
 | q qbar' -> ~c_R ~c_Lbar                       1274 |   6.322e-14 |
 | q qbar' -> ~c_L ~t_2bar                       1275 |   0.000e+00 |
 | q qbar' -> ~t_2 ~c_Lbar                       1276 |   0.000e+00 |
 | q qbar' -> ~c_L ~d_Lbar + c.c.                1277 |   5.431e-13 |
 | q qbar' -> ~c_L ~s_Lbar + c.c.                1278 |   2.458e-13 |
 | q qbar' -> ~c_L ~b_1bar + c.c.                1279 |   1.950e-14 |
 | q qbar' -> ~c_L ~d_Rbar + c.c.                1280 |   2.688e-12 |
 | q qbar' -> ~c_L ~s_Rbar + c.c.                1281 |   2.980e-13 |
 | q qbar' -> ~c_L ~b_2bar + c.c.                1282 |   7.446e-14 |
 | q qbar' -> ~b_1 ~b_1bar                       1283 |   6.031e-12 |
 | q qbar' -> ~b_1 ~d_Rbar                       1284 |   2.707e-13 |
 | q qbar' -> ~d_R ~b_1bar                       1285 |   1.848e-12 |
 | q qbar' -> ~b_1 ~s_Rbar                       1286 |   1.238e-13 |
 | q qbar' -> ~s_R ~b_1bar                       1287 |   1.238e-13 |
 | q qbar' -> ~b_1 ~b_2bar                       1288 |   3.186e-14 |
 | q qbar' -> ~b_2 ~b_1bar                       1289 |   3.186e-14 |
 | q qbar' -> ~t_1 ~t_1bar                       1290 |   2.071e-11 |
 | q qbar' -> ~t_1 ~u_Rbar                       1291 |   0.000e+00 |
 | q qbar' -> ~u_R ~t_1bar                       1292 |   0.000e+00 |
 | q qbar' -> ~t_1 ~c_Rbar                       1293 |   0.000e+00 |
 | q qbar' -> ~c_R ~t_1bar                       1294 |   0.000e+00 |
 | q qbar' -> ~t_1 ~t_2bar                       1295 |   2.488e-14 |
 | q qbar' -> ~t_2 ~t_1bar                       1296 |   2.488e-14 |
 | q qbar' -> ~t_1 ~d_Lbar + c.c.                1297 |   6.914e-18 |
 | q qbar' -> ~t_1 ~s_Lbar + c.c.                1298 |   1.807e-16 |
 | q qbar' -> ~t_1 ~b_1bar + c.c.                1299 |   1.391e-13 |
 | q qbar' -> ~t_1 ~d_Rbar + c.c.                1300 |   0.000e+00 |
 | q qbar' -> ~t_1 ~s_Rbar + c.c.                1301 |   0.000e+00 |
 | q qbar' -> ~t_1 ~b_2bar + c.c.                1302 |   5.923e-15 |
 | q qbar' -> ~d_R ~d_Rbar                       1303 |   7.954e-12 |
 | q qbar' -> ~d_R ~s_Rbar                       1304 |   1.579e-12 |
 | q qbar' -> ~s_R ~d_Rbar                       1305 |   1.767e-13 |
 | q qbar' -> ~d_R ~b_2bar                       1306 |   4.273e-13 |
 | q qbar' -> ~b_2 ~d_Rbar                       1307 |   4.985e-14 |
 | q qbar' -> ~u_R ~u_Rbar                       1308 |   1.081e-11 |
 | q qbar' -> ~u_R ~c_Rbar                       1309 |   1.614e-12 |
 | q qbar' -> ~c_R ~u_Rbar                       1310 |   4.900e-14 |
 | q qbar' -> ~u_R ~t_2bar                       1311 |   0.000e+00 |
 | q qbar' -> ~t_2 ~u_Rbar                       1312 |   0.000e+00 |
 | q qbar' -> ~u_R ~d_Lbar + c.c.                1313 |   3.568e-11 |
 | q qbar' -> ~u_R ~s_Lbar + c.c.                1314 |   1.310e-11 |
 | q qbar' -> ~u_R ~b_1bar + c.c.                1315 |   4.656e-12 |
 | q qbar' -> ~u_R ~d_Rbar + c.c.                1316 |   1.096e-11 |
 | q qbar' -> ~u_R ~s_Rbar + c.c.                1317 |   4.050e-12 |
 | q qbar' -> ~u_R ~b_2bar + c.c.                1318 |   1.116e-12 |
 | q qbar' -> ~s_R ~s_Rbar                       1319 |   4.367e-12 |
 | q qbar' -> ~s_R ~b_2bar                       1320 |   2.288e-14 |
 | q qbar' -> ~b_2 ~s_Rbar                       1321 |   2.288e-14 |
 | q qbar' -> ~c_R ~c_Rbar                       1322 |   4.195e-12 |
 | q qbar' -> ~c_R ~t_2bar                       1323 |   0.000e+00 |
 | q qbar' -> ~t_2 ~c_Rbar                       1324 |   0.000e+00 |
 | q qbar' -> ~c_R ~d_Lbar + c.c.                1325 |   2.629e-12 |
 | q qbar' -> ~c_R ~s_Lbar + c.c.                1326 |   2.905e-13 |
 | q qbar' -> ~c_R ~b_1bar + c.c.                1327 |   1.066e-13 |
 | q qbar' -> ~c_R ~d_Rbar + c.c.                1328 |   7.100e-13 |
 | q qbar' -> ~c_R ~s_Rbar + c.c.                1329 |   6.643e-14 |
 | q qbar' -> ~c_R ~b_2bar + c.c.                1330 |   1.885e-14 |
 | q qbar' -> ~b_2 ~b_2bar                       1331 |   4.391e-12 |
 | q qbar' -> ~t_2 ~t_2bar                       1332 |   4.335e-12 |
 | q qbar' -> ~t_2 ~d_Lbar + c.c.                1333 |   1.478e-17 |
 | q qbar' -> ~t_2 ~s_Lbar + c.c.                1334 |   3.863e-16 |
 | q qbar' -> ~t_2 ~b_1bar + c.c.                1335 |   2.939e-13 |
 | q qbar' -> ~t_2 ~d_Rbar + c.c.                1336 |   0.000e+00 |
 | q qbar' -> ~t_2 ~s_Rbar + c.c.                1337 |   0.000e+00 |
 | q qbar' -> ~t_2 ~b_2bar + c.c.                1338 |   1.256e-14 |
 | q q' -> ~d_L ~d_L + c.c.                      1351 |   3.095e-11 |
 | q q' -> ~d_L ~s_L + c.c.                      1352 |   5.091e-12 |
 | q q' -> ~d_L ~b_1 + c.c.                      1353 |   1.750e-12 |
 | q q' -> ~d_L ~d_R + c.c.                      1354 |   1.853e-11 |
 | q q' -> ~d_L ~s_R + c.c.                      1355 |   1.117e-12 |
 | q q' -> ~d_L ~b_2 + c.c.                      1356 |   3.196e-13 |
 | q q' -> ~u_L ~u_L + c.c.                      1357 |   1.768e-10 |
 | q q' -> ~u_L ~c_L + c.c.                      1358 |   5.593e-12 |
 | q q' -> ~u_L ~t_1 + c.c.                      1359 |   0.000e+00 |
 | q q' -> ~u_L ~u_R + c.c.                      1360 |   1.326e-10 |
 | q q' -> ~u_L ~c_R + c.c.                      1361 |   1.320e-12 |
 | q q' -> ~u_L ~t_2 + c.c.                      1362 |   0.000e+00 |
 | q q' -> ~u_L ~d_L + c.c.                      1363 |   2.627e-10 |
 | q q' -> ~u_L ~s_L + c.c.                      1364 |   1.227e-11 |
 | q q' -> ~u_L ~b_1 + c.c.                      1365 |   1.448e-12 |
 | q q' -> ~u_L ~d_R + c.c.                      1366 |   7.694e-11 |
 | q q' -> ~u_L ~s_R + c.c.                      1367 |   3.637e-12 |
 | q q' -> ~u_L ~b_2 + c.c.                      1368 |   3.140e-12 |
 | q q' -> ~s_L ~s_L + c.c.                      1369 |   2.507e-13 |
 | q q' -> ~s_L ~b_1 + c.c.                      1370 |   2.005e-13 |
 | q q' -> ~s_L ~d_R + c.c.                      1371 |   1.117e-12 |
 | q q' -> ~s_L ~s_R + c.c.                      1372 |   1.035e-13 |
 | q q' -> ~s_L ~b_2 + c.c.                      1373 |   3.007e-14 |
 | q q' -> ~c_L ~c_L + c.c.                      1374 |   4.725e-14 |
 | q q' -> ~c_L ~t_1 + c.c.                      1375 |   0.000e+00 |
 | q q' -> ~c_L ~u_R + c.c.                      1376 |   1.320e-12 |
 | q q' -> ~c_L ~c_R + c.c.                      1377 |   1.883e-14 |
 | q q' -> ~c_L ~t_2 + c.c.                      1378 |   0.000e+00 |
 | q q' -> ~c_L ~d_L + c.c.                      1379 |   3.443e-12 |
 | q q' -> ~c_L ~s_L + c.c.                      1380 |   4.460e-13 |
 | q q' -> ~c_L ~b_1 + c.c.                      1381 |   2.704e-14 |
 | q q' -> ~c_L ~d_R + c.c.                      1382 |   6.293e-13 |
 | q q' -> ~c_L ~s_R + c.c.                      1383 |   5.762e-14 |
 | q q' -> ~c_L ~b_2 + c.c.                      1384 |   6.626e-14 |
 | q q' -> ~b_1 ~b_1 + c.c.                      1385 |   3.379e-14 |
 | q q' -> ~b_1 ~d_R + c.c.                      1386 |   4.254e-13 |
 | q q' -> ~b_1 ~s_R + c.c.                      1387 |   4.209e-14 |
 | q q' -> ~b_1 ~b_2 + c.c.                      1388 |   1.120e-14 |
 | q q' -> ~t_1 ~t_1 + c.c.                      1389 |   0.000e+00 |
 | q q' -> ~t_1 ~u_R + c.c.                      1390 |   0.000e+00 |
 | q q' -> ~t_1 ~c_R + c.c.                      1391 |   0.000e+00 |
 | q q' -> ~t_1 ~t_2 + c.c.                      1392 |   0.000e+00 |
 | q q' -> ~t_1 ~d_L + c.c.                      1393 |   5.210e-13 |
 | q q' -> ~t_1 ~s_L + c.c.                      1394 |   3.952e-14 |
 | q q' -> ~t_1 ~b_1 + c.c.                      1395 |   2.092e-16 |
 | q q' -> ~t_1 ~d_R + c.c.                      1396 |   0.000e+00 |
 | q q' -> ~t_1 ~s_R + c.c.                      1397 |   0.000e+00 |
 | q q' -> ~t_1 ~b_2 + c.c.                      1398 |   8.814e-17 |
 | q q' -> ~d_R ~d_R + c.c.                      1399 |   2.921e-11 |
 | q q' -> ~d_R ~s_R + c.c.                      1400 |   6.828e-12 |
 | q q' -> ~d_R ~b_2 + c.c.                      1401 |   1.726e-12 |
 | q q' -> ~u_R ~u_R + c.c.                      1402 |   1.632e-10 |
 | q q' -> ~u_R ~c_R + c.c.                      1403 |   7.168e-12 |
 | q q' -> ~u_R ~t_2 + c.c.                      1404 |   0.000e+00 |
 | q q' -> ~u_R ~d_L + c.c.                      1405 |   7.596e-11 |
 | q q' -> ~u_R ~s_L + c.c.                      1406 |   3.565e-12 |
 | q q' -> ~u_R ~b_1 + c.c.                      1407 |   4.093e-12 |
 | q q' -> ~u_R ~d_R + c.c.                      1408 |   2.227e-10 |
 | q q' -> ~u_R ~s_R + c.c.                      1409 |   1.511e-11 |
 | q q' -> ~u_R ~b_2 + c.c.                      1410 |   1.422e-12 |
 | q q' -> ~s_R ~s_R + c.c.                      1411 |   2.789e-13 |
 | q q' -> ~s_R ~b_2 + c.c.                      1412 |   1.982e-13 |
 | q q' -> ~c_R ~c_R + c.c.                      1413 |   5.488e-14 |
 | q q' -> ~c_R ~t_2 + c.c.                      1414 |   0.000e+00 |
 | q q' -> ~c_R ~d_L + c.c.                      1415 |   6.156e-13 |
 | q q' -> ~c_R ~s_L + c.c.                      1416 |   5.616e-14 |
 | q q' -> ~c_R ~b_1 + c.c.                      1417 |   9.308e-14 |
 | q q' -> ~c_R ~d_R + c.c.                      1418 |   3.088e-12 |
 | q q' -> ~c_R ~s_R + c.c.                      1419 |   3.507e-13 |
 | q q' -> ~c_R ~b_2 + c.c.                      1420 |   2.650e-14 |
 | q q' -> ~b_2 ~b_2 + c.c.                      1421 |   1.763e-14 |
 | q q' -> ~t_2 ~t_2 + c.c.                      1422 |   0.000e+00 |
 | q q' -> ~t_2 ~d_L + c.c.                      1423 |   9.649e-15 |
 | q q' -> ~t_2 ~s_L + c.c.                      1424 |   6.991e-16 |
 | q q' -> ~t_2 ~b_1 + c.c.                      1425 |   6.713e-18 |
 | q q' -> ~t_2 ~d_R + c.c.                      1426 |   0.000e+00 |
 | q q' -> ~t_2 ~s_R + c.c.                      1427 |   0.000e+00 |
 | q q' -> ~t_2 ~b_2 + c.c.                      1428 |   4.185e-18 |
 | q g -> ~chi_10 ~d_L + c.c. (q=d,s,b)          1431 |   1.224e-12 |
 | q g -> ~chi_10 ~u_L + c.c. (q=u,c)            1432 |   1.921e-12 |
 | q g -> ~chi_10 ~s_L + c.c. (q=d,s,b)          1433 |   1.941e-13 |
 | q g -> ~chi_10 ~c_L + c.c. (q=u,c)            1434 |   6.698e-14 |
 | q g -> ~chi_10 ~b_1 + c.c. (q=d,s,b)          1435 |   1.212e-13 |
 | q g -> ~chi_10 ~t_1 + c.c. (q=u,c)            1436 |   0.000e+00 |
 | q g -> ~chi_10 ~d_R + c.c. (q=d,s,b)          1437 |   5.120e-12 |
 | q g -> ~chi_10 ~u_R + c.c. (q=u,c)            1438 |   4.477e-11 |
 | q g -> ~chi_10 ~s_R + c.c. (q=d,s,b)          1439 |   8.356e-13 |
 | q g -> ~chi_10 ~c_R + c.c. (q=u,c)            1440 |   1.632e-12 |
 | q g -> ~chi_10 ~b_2 + c.c. (q=d,s,b)          1441 |   2.295e-13 |
 | q g -> ~chi_10 ~t_2 + c.c. (q=u,c)            1442 |   0.000e+00 |
 | q g -> ~chi_20 ~d_L + c.c. (q=d,s,b)          1443 |   1.529e-11 |
 | q g -> ~chi_20 ~u_L + c.c. (q=u,c)            1444 |   3.445e-11 |
 | q g -> ~chi_20 ~s_L + c.c. (q=d,s,b)          1445 |   2.477e-12 |
 | q g -> ~chi_20 ~c_L + c.c. (q=u,c)            1446 |   1.238e-12 |
 | q g -> ~chi_20 ~b_1 + c.c. (q=d,s,b)          1447 |   1.144e-12 |
 | q g -> ~chi_20 ~t_1 + c.c. (q=u,c)            1448 |   0.000e+00 |
 | q g -> ~chi_20 ~d_R + c.c. (q=d,s,b)          1449 |   4.006e-15 |
 | q g -> ~chi_20 ~u_R + c.c. (q=u,c)            1450 |   3.384e-14 |
 | q g -> ~chi_20 ~s_R + c.c. (q=d,s,b)          1451 |   6.682e-16 |
 | q g -> ~chi_20 ~c_R + c.c. (q=u,c)            1452 |   1.267e-15 |
 | q g -> ~chi_20 ~b_2 + c.c. (q=d,s,b)          1453 |   2.381e-14 |
 | q g -> ~chi_20 ~t_2 + c.c. (q=u,c)            1454 |   0.000e+00 |
 | q g -> ~chi_30 ~d_L + c.c. (q=d,s,b)          1455 |   2.318e-14 |
 | q g -> ~chi_30 ~u_L + c.c. (q=u,c)            1456 |   2.919e-14 |
 | q g -> ~chi_30 ~s_L + c.c. (q=d,s,b)          1457 |   3.248e-15 |
 | q g -> ~chi_30 ~c_L + c.c. (q=u,c)            1458 |   8.947e-16 |
 | q g -> ~chi_30 ~b_1 + c.c. (q=d,s,b)          1459 |   1.950e-14 |
 | q g -> ~chi_30 ~t_1 + c.c. (q=u,c)            1460 |   0.000e+00 |
 | q g -> ~chi_30 ~d_R + c.c. (q=d,s,b)          1461 |   1.469e-15 |
 | q g -> ~chi_30 ~u_R + c.c. (q=u,c)            1462 |   1.202e-14 |
 | q g -> ~chi_30 ~s_R + c.c. (q=d,s,b)          1463 |   2.115e-16 |
 | q g -> ~chi_30 ~c_R + c.c. (q=u,c)            1464 |   3.829e-16 |
 | q g -> ~chi_30 ~b_2 + c.c. (q=d,s,b)          1465 |   1.913e-14 |
 | q g -> ~chi_30 ~t_2 + c.c. (q=u,c)            1466 |   0.000e+00 |
 | q g -> ~chi_40 ~d_L + c.c. (q=d,s,b)          1467 |   4.575e-13 |
 | q g -> ~chi_40 ~u_L + c.c. (q=u,c)            1468 |   7.574e-13 |
 | q g -> ~chi_40 ~s_L + c.c. (q=d,s,b)          1469 |   6.356e-14 |
 | q g -> ~chi_40 ~c_L + c.c. (q=u,c)            1470 |   2.296e-14 |
 | q g -> ~chi_40 ~b_1 + c.c. (q=d,s,b)          1471 |   3.417e-14 |
 | q g -> ~chi_40 ~t_1 + c.c. (q=u,c)            1472 |   0.000e+00 |
 | q g -> ~chi_40 ~d_R + c.c. (q=d,s,b)          1473 |   7.373e-15 |
 | q g -> ~chi_40 ~u_R + c.c. (q=u,c)            1474 |   6.033e-14 |
 | q g -> ~chi_40 ~s_R + c.c. (q=d,s,b)          1475 |   1.053e-15 |
 | q g -> ~chi_40 ~c_R + c.c. (q=u,c)            1476 |   1.901e-15 |
 | q g -> ~chi_40 ~b_2 + c.c. (q=d,s,b)          1477 |   2.470e-14 |
 | q g -> ~chi_40 ~t_2 + c.c. (q=u,c)            1478 |   0.000e+00 |
 | q g -> ~chi_1+ ~d_L + c.c. (q=u,c)            1491 |   1.641e-10 |
 | q g -> ~chi_1- ~u_L + c.c. (q=d,s,b)          1492 |   7.747e-11 |
 | q g -> ~chi_1+ ~s_L + c.c. (q=u,c)            1493 |   1.336e-11 |
 | q g -> ~chi_1- ~c_L + c.c. (q=d,s,b)          1494 |   1.601e-11 |
 | q g -> ~chi_1+ ~b_1 + c.c. (q=u,c)            1495 |   2.013e-14 |
 | q g -> ~chi_1- ~t_1 + c.c. (q=d,s,b)          1496 |   1.699e-11 |
 | q g -> ~chi_1+ ~d_R + c.c. (q=u,c)            1497 |   0.000e+00 |
 | q g -> ~chi_1- ~u_R + c.c. (q=d,s,b)          1498 |   0.000e+00 |
 | q g -> ~chi_1+ ~s_R + c.c. (q=u,c)            1499 |   0.000e+00 |
 | q g -> ~chi_1- ~c_R + c.c. (q=d,s,b)          1500 |   0.000e+00 |
 | q g -> ~chi_1+ ~b_2 + c.c. (q=u,c)            1501 |   4.107e-16 |
 | q g -> ~chi_1- ~t_2 + c.c. (q=d,s,b)          1502 |   1.342e-13 |
 | q g -> ~chi_2+ ~d_L + c.c. (q=u,c)            1503 |   6.029e-12 |
 | q g -> ~chi_2- ~u_L + c.c. (q=d,s,b)          1504 |   2.940e-12 |
 | q g -> ~chi_2+ ~s_L + c.c. (q=u,c)            1505 |   4.897e-13 |
 | q g -> ~chi_2- ~c_L + c.c. (q=d,s,b)          1506 |   5.471e-13 |
 | q g -> ~chi_2+ ~b_1 + c.c. (q=u,c)            1507 |   4.155e-16 |
 | q g -> ~chi_2- ~t_1 + c.c. (q=d,s,b)          1508 |   1.021e-11 |
 | q g -> ~chi_2+ ~d_R + c.c. (q=u,c)            1509 |   0.000e+00 |
 | q g -> ~chi_2- ~u_R + c.c. (q=d,s,b)          1510 |   0.000e+00 |
 | q g -> ~chi_2+ ~s_R + c.c. (q=u,c)            1511 |   0.000e+00 |
 | q g -> ~chi_2- ~c_R + c.c. (q=d,s,b)          1512 |   0.000e+00 |
 | q g -> ~chi_2+ ~b_2 + c.c. (q=u,c)            1513 |   4.349e-16 |
 | q g -> ~chi_2- ~t_2 + c.c. (q=d,s,b)          1514 |   2.826e-13 |
 | q qbar' -> ~chi_10 ~chi_10                    1551 |   4.787e-12 |
 | q qbar' -> ~chi_10 ~chi_20                    1552 |   5.546e-13 |
 | q qbar' -> ~chi_20 ~chi_20                    1553 |   4.096e-12 |
 | q qbar' -> ~chi_10 ~chi_30                    1554 |   1.743e-13 |
 | q qbar' -> ~chi_20 ~chi_30                    1555 |   6.627e-13 |
 | q qbar' -> ~chi_30 ~chi_30                    1556 |   3.653e-17 |
 | q qbar' -> ~chi_10 ~chi_40                    1557 |   4.754e-14 |
 | q qbar' -> ~chi_20 ~chi_40                    1558 |   1.863e-13 |
 | q qbar' -> ~chi_30 ~chi_40                    1559 |   3.969e-12 |
 | q qbar' -> ~chi_40 ~chi_40                    1560 |   2.161e-15 |
 | q qbar' -> ~chi_1+ ~chi_10                    1571 |   1.274e-12 |
 | q qbar' -> ~chi_1- ~chi_10                    1572 |   5.117e-13 |
 | q qbar' -> ~chi_2+ ~chi_10                    1573 |   3.393e-13 |
 | q qbar' -> ~chi_2- ~chi_10                    1574 |   1.329e-13 |
 | q qbar' -> ~chi_1+ ~chi_20                    1575 |   1.045e-10 |
 | q qbar' -> ~chi_1- ~chi_20                    1576 |   4.886e-11 |
 | q qbar' -> ~chi_2+ ~chi_20                    1577 |   4.795e-14 |
 | q qbar' -> ~chi_2- ~chi_20                    1578 |   1.499e-14 |
 | q qbar' -> ~chi_1+ ~chi_30                    1579 |   9.421e-13 |
 | q qbar' -> ~chi_1- ~chi_30                    1580 |   3.659e-13 |
 | q qbar' -> ~chi_2+ ~chi_30                    1581 |   5.862e-12 |
 | q qbar' -> ~chi_2- ~chi_30                    1582 |   1.969e-12 |
 | q qbar' -> ~chi_1+ ~chi_40                    1583 |   5.646e-14 |
 | q qbar' -> ~chi_1- ~chi_40                    1584 |   1.778e-14 |
 | q qbar' -> ~chi_2+ ~chi_40                    1585 |   5.747e-12 |
 | q qbar' -> ~chi_2- ~chi_40                    1586 |   1.920e-12 |
 | q qbar' -> ~chi_1+ ~chi_1-                    1591 |   7.640e-11 |
 | q qbar' -> ~chi_1+ ~chi_2-                    1592 |   3.566e-13 |
 | q qbar' -> ~chi_2+ ~chi_1-                    1593 |   3.566e-13 |
 | q qbar' -> ~chi_2+ ~chi_2-                    1594 |   4.106e-12 |
 | q q' -> ~d_L* + c.c                           2011 |   0.000e+00 |
 | q q' -> ~u_L* + c.c                           2012 |   0.000e+00 |
 | q q' -> ~s_L* + c.c                           2013 |   0.000e+00 |
 | q q' -> ~c_L* + c.c                           2014 |   0.000e+00 |
 | q q' -> ~b_1* + c.c                           2015 |   0.000e+00 |
 | q q' -> ~t_1* + c.c                           2016 |   0.000e+00 |
 | q q' -> ~d_R* + c.c                           2021 |   0.000e+00 |
 | q q' -> ~u_R* + c.c                           2022 |   0.000e+00 |
 | q q' -> ~s_R* + c.c                           2023 |   0.000e+00 |
 | q q' -> ~c_R* + c.c                           2024 |   0.000e+00 |
 | q q' -> ~b_2* + c.c                           2025 |   0.000e+00 |
 | q q' -> ~t_2* + c.c                           2026 |   0.000e+00 |
 | q qbar' -> ~g ~chi_10                         1601 |   1.400e-11 |
 | q qbar' -> ~g ~chi_20                         1602 |   1.421e-11 |
 | q qbar' -> ~g ~chi_30                         1603 |   8.572e-14 |
 | q qbar' -> ~g ~chi_40                         1604 |   3.152e-13 |
 | q qbar' -> ~g ~chi_1+ + c.c                   1621 |   3.160e-11 |
 | q qbar' -> ~g ~chi_2+ + c.c                   1622 |   8.012e-13 |
 | q qbar' -> ~e_L- ~e_L+                        1651 |   7.499e-12 |
 | q qbar' -> ~e_L- ~mu_L+                       1652 |   0.000e+00 |
 | q qbar' -> ~mu_L- ~e_L+                       1653 |   0.000e+00 |
 | q qbar' -> ~e_L- ~tau_1+                      1654 |   0.000e+00 |
 | q qbar' -> ~tau_1- ~e_L+                      1655 |   0.000e+00 |
 | q qbar' -> ~e_L- ~e_R+                        1656 |   0.000e+00 |
 | q qbar' -> ~e_R- ~e_L+                        1657 |   0.000e+00 |
 | q qbar' -> ~e_L- ~mu_R+                       1658 |   0.000e+00 |
 | q qbar' -> ~mu_R- ~e_L+                       1659 |   0.000e+00 |
 | q qbar' -> ~e_L- ~tau_2+                      1660 |   0.000e+00 |
 | q qbar' -> ~tau_2- ~e_L+                      1661 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~nu_eLbar                   1662 |   8.156e-12 |
 | q qbar' -> ~nu_eL ~nu_muLbar                  1663 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~nu_eLbar                  1664 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~nu_tauLbar                 1665 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~nu_eLbar                 1666 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~nu_eRbar                   1667 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~nu_eLbar                   1668 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~nu_muRbar                  1669 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~nu_eLbar                  1670 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~nu_tauRbar                 1671 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~nu_eLbar                 1672 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~e_L+ + c.c.                1673 |   2.925e-11 |
 | q qbar' -> ~nu_eL ~mu_L+ + c.c.               1674 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~tau_1+ + c.c.              1675 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~e_R+ + c.c.                1676 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~mu_R+ + c.c.               1677 |   0.000e+00 |
 | q qbar' -> ~nu_eL ~tau_2+ + c.c.              1678 |   0.000e+00 |
 | q qbar' -> ~mu_L- ~mu_L+                      1679 |   7.491e-12 |
 | q qbar' -> ~mu_L- ~tau_1+                     1680 |   0.000e+00 |
 | q qbar' -> ~tau_1- ~mu_L+                     1681 |   0.000e+00 |
 | q qbar' -> ~mu_L- ~e_R+                       1682 |   0.000e+00 |
 | q qbar' -> ~e_R- ~mu_L+                       1683 |   0.000e+00 |
 | q qbar' -> ~mu_L- ~mu_R+                      1684 |   0.000e+00 |
 | q qbar' -> ~mu_R- ~mu_L+                      1685 |   0.000e+00 |
 | q qbar' -> ~mu_L- ~tau_2+                     1686 |   0.000e+00 |
 | q qbar' -> ~tau_2- ~mu_L+                     1687 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~nu_muLbar                 1688 |   8.156e-12 |
 | q qbar' -> ~nu_muL ~nu_tauLbar                1689 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~nu_muLbar                1690 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~nu_eRbar                  1691 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~nu_muLbar                  1692 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~nu_muRbar                 1693 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~nu_muLbar                 1694 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~nu_tauRbar                1695 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~nu_muLbar                1696 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~e_L+ + c.c.               1697 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~mu_L+ + c.c.              1698 |   2.924e-11 |
 | q qbar' -> ~nu_muL ~tau_1+ + c.c.             1699 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~e_R+ + c.c.               1700 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~mu_R+ + c.c.              1701 |   0.000e+00 |
 | q qbar' -> ~nu_muL ~tau_2+ + c.c.             1702 |   0.000e+00 |
 | q qbar' -> ~tau_1- ~tau_1+                    1703 |   2.396e-11 |
 | q qbar' -> ~tau_1- ~e_R+                      1704 |   0.000e+00 |
 | q qbar' -> ~e_R- ~tau_1+                      1705 |   0.000e+00 |
 | q qbar' -> ~tau_1- ~mu_R+                     1706 |   0.000e+00 |
 | q qbar' -> ~mu_R- ~tau_1+                     1707 |   0.000e+00 |
 | q qbar' -> ~tau_1- ~tau_2+                    1708 |   1.002e-11 |
 | q qbar' -> ~tau_2- ~tau_1+                    1709 |   1.002e-11 |
 | q qbar' -> ~nu_tauL ~nu_tauLbar               1710 |   8.273e-12 |
 | q qbar' -> ~nu_tauL ~nu_eRbar                 1711 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~nu_tauLbar                 1712 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~nu_muRbar                1713 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~nu_tauLbar                1714 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~nu_tauRbar               1715 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~nu_tauLbar               1716 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~e_L+ + c.c.              1717 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~mu_L+ + c.c.             1718 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~tau_1+ + c.c.            1719 |   1.416e-12 |
 | q qbar' -> ~nu_tauL ~e_R+ + c.c.              1720 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~mu_R+ + c.c.             1721 |   0.000e+00 |
 | q qbar' -> ~nu_tauL ~tau_2+ + c.c.            1722 |   2.866e-11 |
 | q qbar' -> ~e_R- ~e_R+                        1723 |   2.156e-11 |
 | q qbar' -> ~e_R- ~mu_R+                       1724 |   0.000e+00 |
 | q qbar' -> ~mu_R- ~e_R+                       1725 |   0.000e+00 |
 | q qbar' -> ~e_R- ~tau_2+                      1726 |   0.000e+00 |
 | q qbar' -> ~tau_2- ~e_R+                      1727 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~nu_eRbar                   1728 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~nu_muRbar                  1729 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~nu_eRbar                  1730 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~nu_tauRbar                 1731 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~nu_eRbar                 1732 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~e_L+ + c.c.                1733 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~mu_L+ + c.c.               1734 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~tau_1+ + c.c.              1735 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~e_R+ + c.c.                1736 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~mu_R+ + c.c.               1737 |   0.000e+00 |
 | q qbar' -> ~nu_eR ~tau_2+ + c.c.              1738 |   0.000e+00 |
 | q qbar' -> ~mu_R- ~mu_R+                      1739 |   2.156e-11 |
 | q qbar' -> ~mu_R- ~tau_2+                     1740 |   0.000e+00 |
 | q qbar' -> ~tau_2- ~mu_R+                     1741 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~nu_muRbar                 1742 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~nu_tauRbar                1743 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~nu_muRbar                1744 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~e_L+ + c.c.               1745 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~mu_L+ + c.c.              1746 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~tau_1+ + c.c.             1747 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~e_R+ + c.c.               1748 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~mu_R+ + c.c.              1749 |   0.000e+00 |
 | q qbar' -> ~nu_muR ~tau_2+ + c.c.             1750 |   0.000e+00 |
 | q qbar' -> ~tau_2- ~tau_2+                    1751 |   7.169e-12 |
 | q qbar' -> ~nu_tauR ~nu_tauRbar               1752 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~e_L+ + c.c.              1753 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~mu_L+ + c.c.             1754 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~tau_1+ + c.c.            1755 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~e_R+ + c.c.              1756 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~mu_R+ + c.c.             1757 |   0.000e+00 |
 | q qbar' -> ~nu_tauR ~tau_2+ + c.c.            1758 |   0.000e+00 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                10000.000 |    14000.000    10.00000             | 
 | HadronLevel:Hadronize                         |                      off |           on                         | 
 | HiggsA3:coup2d                                |                  9.66950 |      1.00000                         | 
 | HiggsA3:coup2H1Z                              |               -0.0037460 |      1.00000                         | 
 | HiggsA3:coup2H2Z                              |                  0.99999 |      1.00000                         | 
 | HiggsA3:coup2l                                |                  0.10342 |      1.00000                         | 
 | HiggsA3:coup2u                                |                  0.10342 |      1.00000                         | 
 | HiggsH1:coup2d                                |                  1.03622 |      1.00000                         | 
 | HiggsH1:coup2Hchg                             |                  0.56046 |          0.0                         | 
 | HiggsH1:coup2l                                |                  0.99961 |      1.00000                         | 
 | HiggsH1:coup2u                                |                  0.99961 |      1.00000                         | 
 | HiggsH1:coup2W                                |                  0.99999 |      1.00000                         | 
 | HiggsH1:coup2Z                                |                  0.99999 |      1.00000                         | 
 | HiggsH2:coup2A3A3                             |                  0.20390 |      1.00000                         | 
 | HiggsH2:coup2d                                |                  9.66568 |      1.00000                         | 
 | HiggsH2:coup2H1H1                             |                 -0.61823 |      1.00000                         | 
 | HiggsH2:coup2Hchg                             |                  0.19822 |          0.0                         | 
 | HiggsH2:coup2HchgW                            |                  0.99999 |          0.0                         | 
 | HiggsH2:coup2l                                |                 -0.10716 |      1.00000                         | 
 | HiggsH2:coup2u                                |                 -0.10716 |      1.00000                         | 
 | HiggsH2:coup2W                                |               -0.0037460 |      1.00000                         | 
 | HiggsH2:coup2Z                                |               -0.0037460 |      1.00000                         | 
 | HiggsHchg:coup2H1W                            |               -0.0037460 |      1.00000                         | 
 | HiggsHchg:coup2H2W                            |                  0.99999 |          0.0                         | 
 | HiggsHchg:tanBeta                             |                  9.66950 |      5.00000                         | 
 | Init:showChangedParticleData                  |                      off |           on                         | 
 | Main:numberOfEvents                           |                    10000 |         1000           0             | 
 | Main:timesAllowErrors                         |                        3 |           10           0             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberCount                              |                      500 |         1000           0             | 
 | Next:numberShowEvent                          |                        2 |            1           0             | 
 | Next:numberShowInfo                           |                        2 |            1           0             | 
 | Next:numberShowProcess                        |                        2 |            1           0             | 
 | PartonLevel:FSR                               |                      off |           on                         | 
 | PartonLevel:ISR                               |                      off |           on                         | 
 | PartonLevel:MPI                               |                      off |           on                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SLHA:file                                     |                cmssm.spc |         void                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | SUSY:all                                      |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 
 PYTHIA Warning in TauDecays::decay: unknown tau production, assuming unpolarized and uncorrelated  

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  5.000e+03, e =  5.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -5.000e+03, e =  5.000e+03, m =  9.383e-01.

 In 1: id =    1, x =  3.634e-01, pdf =  6.633e-02 at Q2 =  1.768e+06.
 In 2: id =   21, x =  3.261e-01, pdf =  3.111e-02 at same Q2.

 Subprocess q g -> ~d_L gluino + c.c. with code 1203 is 2 -> 2.
 It has sHat =  1.185e+07,    tHat = -8.315e+06,    uHat = -1.108e+06,
       pTHat =  8.086e+02,   m3Hat =  1.056e+03,   m4Hat =  1.147e+03,
    thetaHat =  2.484e+00,  phiHat =  5.302e+00.
     alphaEM =  8.065e-03,  alphaS =  9.533e-02    at Q2 =  1.866e+06.

 Impact parameter b =  0.000e+00 gives enhancement factor =  1.000e+00.
 Max pT scale for MPI =  1.000e+04, ISR =  1.000e+04, FSR =  1.000e+04.
 Number of MPI =     1, ISR =     0, FSRproc =     0, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  10000.000  10000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   5000.000   5000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -5000.000   5000.000      0.938
     3         1   (d)                -21     1     0     5     6   101     0      0.000      0.000   1817.122   1817.122      0.000
     4        21   (g)                -21     2     0     5     6   102   101      0.000      0.000  -1630.731   1630.731      0.000
     5   1000001   (~d_L)             -22     3     4     7     8   103     0    449.937   -671.837   -956.559   1638.026   1055.611
     6   1000021   (~g)               -22     3     4     9    10   102   103   -449.937    671.837   1142.950   1809.827   1146.878
     7  -1000024   (~chi_1-)          -22     5     0    11    12     0     0    445.589   -543.567   -143.348    814.749    386.332
     8         2   u                   23     5     0     0     0   103     0      4.348   -128.271   -813.211    823.277      0.330
     9  -1000006   (~t_1bar)          -22     6     0    13    14     0   103   -494.915    664.865    739.528   1370.973    803.541
    10         6   (t)                -22     6     0    15    16   102     0     44.978      6.972    403.422    438.854    166.648
    11   1000015   (~tau_1-)          -22     7     0    17    18     0     0    195.745   -146.141    -30.618    331.968    222.692
    12       -16   nu_taubar           23     7     0     0     0     0     0    249.844   -397.426   -112.730    482.781      0.000
    13   1000023   (~chi_20)          -22     9     0    19    20     0     0   -281.147    146.239    111.762    511.926    386.197
    14        -6   (tbar)             -22     9     0    21    22     0   103   -213.769    518.626    627.766    859.046    170.884
    15        24   (W+)               -22    10     0    23    24     0     0     47.040    -35.397    144.008    175.951     82.186
    16         5   b                   23    10     0     0     0   102     0     -2.062     42.369    259.414    262.903      4.800
    17   1000022   ~chi_10             23    11     0     0     0     0     0    165.829   -132.490    -13.425    294.818    204.168
    18        15   tau-                23    11     0     0     0     0     0     29.916    -13.651    -17.194     37.150      1.777
    19  -1000015   (~tau_1+)          -22    13     0    25    26     0     0   -230.778    204.446      5.079    380.361    222.692
    20        15   tau-                23    13     0     0     0     0     0    -50.369    -58.206    106.684    131.566      1.777
    21       -24   (W-)               -22    14     0    27    28     0     0   -136.824    468.148    543.140    733.935     75.994
    22        -5   bbar                23    14     0     0     0     0   103    -76.945     50.477     84.625    125.112      4.800
    23        -3   sbar                23    15     0     0     0     0   104    -17.266    -21.515     78.036     82.770      0.500
    24         4   c                   23    15     0     0     0   104     0     64.307    -13.882     65.973     93.181      1.500
    25   1000022   ~chi_10             23    19     0     0     0     0     0   -205.250    184.740    -12.375    343.648    204.168
    26       -15   tau+                23    19     0     0     0     0     0    -25.528     19.706     17.454     36.712      1.777
    27         3   s                   23    21     0     0     0   105     0   -139.371    411.117    454.576    628.555      0.500
    28        -4   cbar                23    21     0     0     0     0   105      2.547     57.031     88.564    105.380      1.500
                                   Charge sum: -0.333           Momentum sum:     -0.000      0.000    186.391   3447.853   3442.811

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  10000.000  10000.000
     1      2212   (p+)               -12     0     0     7     0     0     0      0.000      0.000   5000.000   5000.000      0.938
     2      2212   (p+)               -12     0     0     8     0     0     0      0.000      0.000  -5000.000   5000.000      0.938
     3         1   (d)                -21     7     7     5     6   101     0      0.000      0.000   1817.122   1817.122      0.000
     4        21   (g)                -21     8     8     5     6   102   101      0.000      0.000  -1630.731   1630.731      0.000
     5   1000001   (~d_L)             -22     3     4     9     9   103     0    449.937   -671.837   -956.559   1638.026   1055.611
     6   1000021   (~g)               -22     3     4    10    10   102   103   -449.937    671.837   1142.950   1809.827   1146.878
     7         1   (d)                -61     1     0     3     3   101     0      2.244     -1.332   1817.121   1817.123      0.000
     8        21   (g)                -61     2     0     4     4   102   101      0.007     -2.317  -1630.731   1630.732      0.000
     9   1000001   (~d_L)             -62     5     5    14    15   103     0    450.364   -673.931   -956.605   1639.030   1055.611
    10   1000021   (~g)               -62     6     6    16    17   102   103   -448.112    670.282   1142.995   1808.826   1146.878
    11      2203   uu_1                63     1     0     0     0     0   101     -2.244      1.332   3182.580   3182.581      0.771
    12         2   u                   63     2     0     0     0   101     0      0.082      0.887     -0.466      1.058      0.330
    13      2103   ud_1                63     2     0     0     0     0   102     -0.090      1.431  -3368.505   3368.505      0.771
    14  -1000024   (~chi_1-)          -22     9     0    18    19     0     0    445.802   -544.608   -143.371    815.564    386.332
    15         2   u                   23     9     0     0     0   103     0      4.562   -129.323   -813.234    823.465      0.330
    16  -1000006   (~t_1bar)          -22    10     0    20    21     0   103   -493.533    663.687    739.562   1369.922    803.541
    17         6   (t)                -22    10     0    22    23   102     0     45.421      6.595    403.433    438.904    166.648
    18   1000015   (~tau_1-)          -22    14     0    24    25     0     0    195.832   -146.565    -30.628    332.207    222.692
    19       -16   nu_taubar           23    14     0     0     0     0     0    249.970   -398.043   -112.743    483.357      0.000
    20   1000023   (~chi_20)          -22    16     0    26    27     0     0   -280.631    145.800    111.775    511.520    386.197
    21        -6   (tbar)             -22    16     0    28    29     0   103   -212.903    517.888    627.787    858.402    170.884
    22        24   (W+)               -22    17     0    30    31     0     0     47.218    -35.549    144.013    176.033     82.186
    23         5   b                   23    17     0     0     0   102     0     -1.797     42.143    259.420    262.871      4.800
    24   1000022   ~chi_10             23    18     0     0     0     0     0    165.906   -132.867    -13.433    295.031    204.168
    25        15   (tau-)             -23    18     0    36    39     0     0     29.926    -13.698    -17.195     37.176      1.777
    26  -1000015   (~tau_1+)          -22    20     0    32    33     0     0   -230.394    204.119      5.088    379.953    222.692
    27        15   (tau-)             -23    20     0    40    41     0     0    -50.236    -58.320    106.687    131.568      1.777
    28       -24   (W-)               -22    21     0    34    35     0     0   -136.084    467.518    543.159    733.409     75.994
    29        -5   bbar                23    21     0     0     0     0   103    -76.819     50.370     84.628    124.993      4.800
    30        -3   sbar                23    22     0     0     0     0   104    -17.183    -21.586     78.038     82.773      0.500
    31         4   c                   23    22     0     0     0   104     0     64.401    -13.962     65.975     93.260      1.500
    32   1000022   ~chi_10             23    26     0     0     0     0     0   -204.904    184.445    -12.366    343.282    204.168
    33       -15   (tau+)             -23    26     0    42    44     0     0    -25.491     19.675     17.455     36.670      1.777
    34         3   s                   23    28     0     0     0   105     0   -138.737    410.577    454.592    628.073      0.500
    35        -4   cbar                23    28     0     0     0     0   105      2.653     56.941     88.567    105.336      1.500
    36        16   nu_tau              91    25     0     0     0     0     0      8.054     -3.164     -4.894      9.941      0.000
    37      -211   pi-                 91    25     0     0     0     0     0      5.662     -2.323     -3.015      6.824      0.140
    38      -211   pi-                 91    25     0     0     0     0     0      3.574     -1.881     -2.157      4.581      0.140
    39       211   pi+                 91    25     0     0     0     0     0     12.635     -6.330     -7.129     15.830      0.140
    40        16   nu_tau              91    27     0     0     0     0     0    -17.060    -20.340     38.108     46.443      0.000
    41      -211   pi-                 91    27     0     0     0     0     0    -33.176    -37.980     68.579     85.125      0.140
    42       -16   nu_taubar           91    33     0     0     0     0     0     -7.817      5.326      4.842     10.627      0.000
    43       -11   e+                  91    33     0     0     0     0     0     -7.503      6.610      5.846     11.583      0.001
    44        12   nu_e                91    33     0     0     0     0     0    -10.171      7.738      6.766     14.461      0.000
                                   Charge sum:  2.000           Momentum sum:     -0.000      0.000      0.000  10000.000  10000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  5.000e+03, e =  5.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -5.000e+03, e =  5.000e+03, m =  9.383e-01.

 In 1: id =    2, x =  4.426e-01, pdf =  1.300e-01 at Q2 =  7.366e+05.
 In 2: id =   -2, x =  6.737e-02, pdf =  1.234e-01 at same Q2.

 Subprocess q qbar' -> ~t_1 ~t_1bar with code 1290 is 2 -> 2.
 It has sHat =  2.982e+06,    tHat = -1.008e+06,    uHat = -6.828e+05,
       pTHat =  3.016e+02,   m3Hat =  8.035e+02,   m4Hat =  8.035e+02,
    thetaHat =  1.873e+00,  phiHat =  1.277e+00.
     alphaEM =  8.021e-03,  alphaS =  1.003e-01    at Q2 =  7.366e+05.

 Impact parameter b =  0.000e+00 gives enhancement factor =  1.000e+00.
 Max pT scale for MPI =  1.000e+04, ISR =  1.000e+04, FSR =  1.000e+04.
 Number of MPI =     1, ISR =     0, FSRproc =     0, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  10000.000  10000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   5000.000   5000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -5000.000   5000.000      0.938
     3         2   (u)                -21     1     0     5     6   101     0      0.000      0.000   2213.233   2213.233      0.000
     4        -2   (ubar)             -21     2     0     5     6     0   102      0.000      0.000   -336.827    336.827      0.000
     5   1000006   (~t_1)             -22     3     4     7     8   101     0     87.388    288.624    799.217   1172.760    803.541
     6  -1000006   (~t_1bar)          -22     3     4     9    10     0   102    -87.388   -288.624   1077.188   1377.299    803.541
     7   1000037   (~chi_2+)          -22     5     0    11    12     0     0    -38.447    215.107    752.133   1019.532    652.680
     8         5   b                   23     5     0     0     0   101     0    125.834     73.517     47.084    153.229      4.800
     9  -1000037   (~chi_2-)          -22     6     0    13    14     0     0     28.338   -223.184   1021.884   1233.228    652.680
    10        -5   bbar                23     6     0     0     0     0   102   -115.725    -65.440     55.304    144.071      4.800
    11   1000023   (~chi_20)          -22     7     0    15    16     0     0   -178.929    219.140    705.554    852.638    386.197
    12        24   (W+)               -22     7     0    17    18     0     0    140.482     -4.033     46.580    166.893     77.020
    13   1000022   ~chi_10             23     9     0     0     0     0     0   -245.105   -228.347    704.778    806.608    204.168
    14       -24   (W-)               -22     9     0    19    20     0     0    273.443      5.163    317.106    426.621     81.558
    15  -1000013   (~mu_L+)           -22    11     0    21    22     0     0   -188.127    194.949    654.969    795.818    361.862
    16        13   mu-                 23    11     0     0     0     0     0      9.198     24.191     50.584     56.821      0.106
    17       -13   mu+                 23    12     0     0     0     0     0    144.414    -11.909     54.732    154.896      0.106
    18        14   nu_mu               23    12     0     0     0     0     0     -3.931      7.876     -8.152     11.998      0.000
    19         3   s                   23    14     0     0     0   103     0      8.594     -4.915     -3.618     10.553      0.500
    20        -4   cbar                23    14     0     0     0     0   103    264.848     10.079    320.724    416.068      1.500
    21   1000022   ~chi_10             23    15     0     0     0     0     0     13.993    109.556    355.301    424.408    204.168
    22       -13   mu+                 23    15     0     0     0     0     0   -202.120     85.393    299.668    371.410      0.106
                                   Charge sum:  0.000           Momentum sum:     -0.000      0.000   1876.406   2550.060   1726.820

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  10000.000  10000.000
     1      2212   (p+)               -12     0     0     7     0     0     0      0.000      0.000   5000.000   5000.000      0.938
     2      2212   (p+)               -12     0     0     8     0     0     0      0.000      0.000  -5000.000   5000.000      0.938
     3         2   (u)                -21     7     7     5     6   101     0      0.000      0.000   2213.233   2213.233      0.000
     4        -2   (ubar)             -21     8     8     5     6     0   102      0.000      0.000   -336.827    336.827      0.000
     5   1000006   (~t_1)             -22     3     4     9     9   101     0     87.388    288.624    799.217   1172.760    803.541
     6  -1000006   (~t_1bar)          -22     3     4    10    10     0   102    -87.388   -288.624   1077.188   1377.299    803.541
     7         2   (u)                -61     1     0     3     3   101     0     -1.187      1.580   2213.234   2213.235      0.000
     8        -2   (ubar)             -61     2     0     4     4     0   102      0.254      1.574   -336.825    336.829      0.000
     9   1000006   (~t_1)             -62     5     5    15    16   101     0     87.000    290.201    799.847   1173.550    803.541
    10  -1000006   (~t_1bar)          -62     6     6    17    18     0   102    -87.932   -287.048   1076.562   1376.515    803.541
    11      2103   ud_1                63     1     0     0     0     0   101      1.187     -1.580   2786.762   2786.763      0.771
    12      2203   uu_1                63     2     0     0     0     0   105     -0.138     -0.411  -1625.949   1625.950      0.771
    13         1   d                   63     2     0     0     0   102     0      0.268     -0.854  -2718.161   2718.161      0.330
    14         2   u                   63     2     0     0     0   105     0     -0.383     -0.308   -319.061    319.062      0.330
    15   1000037   (~chi_2+)          -22     9     0    19    20     0     0    -38.784    216.478    752.681   1020.238    652.680
    16         5   b                   23     9     0     0     0   101     0    125.784     73.723     47.166    153.311      4.800
    17  -1000037   (~chi_2-)          -22    10     0    21    22     0     0     27.850   -221.772   1021.324   1232.498    652.680
    18        -5   bbar                23    10     0     0     0     0   102   -115.782    -65.276     55.239    144.017      4.800
    19   1000023   (~chi_20)          -22    15     0    23    24     0     0   -179.212    220.286    706.011    853.372    386.197
    20        24   (W+)               -22    15     0    25    26     0     0    140.427     -3.808     46.669    166.867     77.020
    21   1000022   ~chi_10             23    17     0     0     0     0     0   -245.424   -227.424    704.412    806.124    204.168
    22       -24   (W-)               -22    17     0    27    28     0     0    273.274      5.652    316.912    426.375     81.558
    23  -1000013   (~mu_L+)           -22    19     0    29    30     0     0   -188.391    196.019    655.396    796.494    361.862
    24        13   mu-                 23    19     0     0     0     0     0      9.179     24.267     50.615     56.877      0.106
    25       -13   mu+                 23    20     0     0     0     0     0    144.362    -11.701     54.815    154.862      0.106
    26        14   nu_mu               23    20     0     0     0     0     0     -3.935      7.892     -8.146     12.005      0.000
    27         3   s                   23    22     0     0     0   103     0      8.590     -4.903     -3.623     10.545      0.500
    28        -4   cbar                23    22     0     0     0     0   103    264.684     10.555    320.535    415.829      1.500
    29   1000022   ~chi_10             23    23     0     0     0     0     0     13.852    110.127    355.529    424.742    204.168
    30       -13   mu+                 23    23     0     0     0     0     0   -202.243     85.892    299.867    371.753      0.106
                                   Charge sum:  2.000           Momentum sum:     -0.000      0.000     -0.000  10000.000  10000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 Pythia::next(): 500 events have been generated 

 Pythia::next(): 1000 events have been generated 

 Pythia::next(): 1500 events have been generated 

 Pythia::next(): 2000 events have been generated 

 Pythia::next(): 2500 events have been generated 

 Pythia::next(): 3000 events have been generated 

 Pythia::next(): 3500 events have been generated 

 Pythia::next(): 4000 events have been generated 

 Pythia::next(): 4500 events have been generated 

 Pythia::next(): 5000 events have been generated 

 Pythia::next(): 5500 events have been generated 

 Pythia::next(): 6000 events have been generated 

 Pythia::next(): 6500 events have been generated 
 PYTHIA Warning in TauDecays::decay: maximum decay weight exceeded in tau decay  

 Pythia::next(): 7000 events have been generated 

 Pythia::next(): 7500 events have been generated 

 Pythia::next(): 8000 events have been generated 

 Pythia::next(): 8500 events have been generated 

 Pythia::next(): 9000 events have been generated 

 Pythia::next(): 9500 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> gluino gluino                          1201 |        1651        115        115 |   4.882e-12  2.488e-13 |
 | q qbar -> gluino gluino                       1202 |         201         17         17 |   8.404e-13  1.114e-13 |
 | q g -> ~d_L gluino + c.c.                     1203 |        2549        224        224 |   9.102e-12  3.400e-13 |
 | q g -> ~u_L gluino + c.c.                     1204 |        6235        767        767 |   3.102e-11  6.489e-13 |
 | q g -> ~s_L gluino + c.c.                     1205 |         146         13         13 |   5.127e-13  8.725e-14 |
 | q g -> ~c_L gluino + c.c.                     1206 |          99          9          9 |   3.261e-13  7.975e-14 |
 | q g -> ~b_1 gluino + c.c.                     1207 |          44          4          4 |   1.782e-13  4.422e-14 |
 | q g -> ~d_R gluino + c.c.                     1209 |        2837        272        272 |   1.078e-11  3.800e-13 |
 | q g -> ~u_R gluino + c.c.                     1210 |        6933        956        956 |   3.593e-11  6.918e-13 |
 | q g -> ~s_R gluino + c.c.                     1211 |         154          8          8 |   4.461e-13  7.965e-14 |
 | q g -> ~c_R gluino + c.c.                     1212 |         130         10         10 |   3.607e-13  7.190e-14 |
 | q g -> ~b_2 gluino + c.c.                     1213 |          46          1          1 |   7.399e-14  7.399e-14 |
 | g g -> ~d_L ~d_Lbar                           1215 |          98          7          7 |   3.502e-13  6.828e-14 |
 | g g -> ~u_L ~u_Lbar                           1216 |          90          4          4 |   2.876e-13  7.058e-14 |
 | g g -> ~s_L ~s_Lbar                           1217 |          91          8          8 |   2.633e-13  6.472e-14 |
 | g g -> ~c_L ~c_Lbar                           1218 |         100          6          6 |   2.196e-13  4.836e-14 |
 | g g -> ~b_1 ~b_1bar                           1219 |         213         23         23 |   7.391e-13  9.568e-14 |
 | g g -> ~t_1 ~t_1bar                           1220 |         883         84         84 |   3.370e-12  2.065e-13 |
 | g g -> ~d_R ~d_Rbar                           1221 |         149         14         14 |   3.504e-13  5.540e-14 |
 | g g -> ~u_R ~u_Rbar                           1222 |         131          6          6 |   3.313e-13  6.070e-14 |
 | g g -> ~s_R ~s_Rbar                           1223 |         135         10         10 |   4.643e-13  8.214e-14 |
 | g g -> ~c_R ~c_Rbar                           1224 |         123          5          5 |   2.483e-13  4.908e-14 |
 | g g -> ~b_2 ~b_2bar                           1225 |         130          9          9 |   4.352e-13  7.029e-14 |
 | g g -> ~t_2 ~t_2bar                           1226 |         120          8          8 |   4.123e-13  7.975e-14 |
 | q qbar' -> ~d_L ~d_Lbar                       1231 |         133          9          9 |   3.634e-13  6.987e-14 |
 | q qbar' -> ~d_L ~s_Lbar                       1232 |          19          1          1 |   5.104e-14  5.104e-14 |
 | q qbar' -> ~s_L ~d_Lbar                       1233 |           4          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~d_L ~b_1bar                       1234 |          13          3          3 |   8.869e-14  3.011e-14 |
 | q qbar' -> ~b_1 ~d_Lbar                       1235 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~d_L ~d_Rbar                       1236 |         299         22         22 |   9.269e-13  1.067e-13 |
 | q qbar' -> ~d_R ~d_Lbar                       1237 |         296         22         22 |   8.301e-13  1.010e-13 |
 | q qbar' -> ~d_L ~s_Rbar                       1238 |         153         15         15 |   5.031e-13  7.639e-14 |
 | q qbar' -> ~s_R ~d_Lbar                       1239 |          15          1          1 |   2.900e-14  2.900e-14 |
 | q qbar' -> ~d_L ~b_2bar                       1240 |          38          4          4 |   9.724e-14  3.258e-14 |
 | q qbar' -> ~b_2 ~d_Lbar                       1241 |           5          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~u_L ~u_Lbar                       1242 |         186         20         20 |   6.584e-13  9.239e-14 |
 | q qbar' -> ~u_L ~c_Lbar                       1243 |          26          3          3 |   1.147e-13  4.715e-14 |
 | q qbar' -> ~c_L ~u_Lbar                       1244 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~u_L ~u_Rbar                       1247 |         485         56         56 |   2.135e-12  1.653e-13 |
 | q qbar' -> ~u_R ~u_Lbar                       1248 |         480         59         59 |   2.527e-12  1.831e-13 |
 | q qbar' -> ~u_L ~c_Rbar                       1249 |         126         13         13 |   5.586e-13  8.431e-14 |
 | q qbar' -> ~c_R ~u_Lbar                       1250 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~u_L ~d_Lbar + c.c.                1253 |         182         15         15 |   4.225e-13  6.502e-14 |
 | q qbar' -> ~u_L ~s_Lbar + c.c.                1254 |          84          8          8 |   3.241e-13  6.939e-14 |
 | q qbar' -> ~u_L ~b_1bar + c.c.                1255 |          26          2          2 |   1.111e-13  3.832e-14 |
 | q qbar' -> ~u_L ~d_Rbar + c.c.                1256 |         922         82         82 |   3.629e-12  2.070e-13 |
 | q qbar' -> ~u_L ~s_Rbar + c.c.                1257 |         327         29         29 |   1.300e-12  1.326e-13 |
 | q qbar' -> ~u_L ~b_2bar + c.c.                1258 |          82         11         11 |   4.472e-13  8.597e-14 |
 | q qbar' -> ~s_L ~s_Lbar                       1259 |          71          2          2 |   1.787e-13  4.790e-14 |
 | q qbar' -> ~s_L ~b_1bar                       1260 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_1 ~s_Lbar                       1261 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~s_L ~d_Rbar                       1262 |          18          1          1 |   3.265e-14  3.265e-14 |
 | q qbar' -> ~d_R ~s_Lbar                       1263 |         142         13         13 |   5.337e-13  7.946e-14 |
 | q qbar' -> ~s_L ~s_Rbar                       1264 |           7          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~s_R ~s_Lbar                       1265 |           7          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~s_L ~b_2bar                       1266 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_2 ~s_Lbar                       1267 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_L ~c_Lbar                       1268 |          71          4          4 |   1.913e-13  5.480e-14 |
 | q qbar' -> ~c_L ~u_Rbar                       1271 |           2          1          1 |   4.928e-14  4.928e-14 |
 | q qbar' -> ~u_R ~c_Lbar                       1272 |         146         19         19 |   7.175e-13  1.046e-13 |
 | q qbar' -> ~c_L ~c_Rbar                       1273 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_R ~c_Lbar                       1274 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_L ~d_Lbar + c.c.                1277 |          15          3          3 |   5.104e-14  2.816e-14 |
 | q qbar' -> ~c_L ~s_Lbar + c.c.                1278 |           8          2          2 |   3.882e-14  2.144e-14 |
 | q qbar' -> ~c_L ~b_1bar + c.c.                1279 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_L ~d_Rbar + c.c.                1280 |          64          6          6 |   2.837e-13  5.964e-14 |
 | q qbar' -> ~c_L ~s_Rbar + c.c.                1281 |           3          1          1 |   1.223e-14  1.223e-14 |
 | q qbar' -> ~c_L ~b_2bar + c.c.                1282 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_1 ~b_1bar                       1283 |         168         19         19 |   5.671e-13  8.214e-14 |
 | q qbar' -> ~b_1 ~d_Rbar                       1284 |           6          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~d_R ~b_1bar                       1285 |          39          4          4 |   2.234e-13  5.246e-14 |
 | q qbar' -> ~b_1 ~s_Rbar                       1286 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~s_R ~b_1bar                       1287 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_1 ~b_2bar                       1288 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_2 ~b_1bar                       1289 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_1 ~t_1bar                       1290 |         522         44         44 |   2.037e-12  1.666e-13 |
 | q qbar' -> ~t_1 ~t_2bar                       1295 |           3          1          1 |   2.927e-15  2.927e-15 |
 | q qbar' -> ~t_2 ~t_1bar                       1296 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_1 ~d_Lbar + c.c.                1297 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_1 ~s_Lbar + c.c.                1298 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_1 ~b_1bar + c.c.                1299 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_1 ~b_2bar + c.c.                1302 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~d_R ~d_Rbar                       1303 |         212         18         18 |   6.504e-13  9.108e-14 |
 | q qbar' -> ~d_R ~s_Rbar                       1304 |          43          3          3 |   1.250e-13  4.102e-14 |
 | q qbar' -> ~s_R ~d_Rbar                       1305 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~d_R ~b_2bar                       1306 |          13          1          1 |   1.497e-14  1.497e-14 |
 | q qbar' -> ~b_2 ~d_Rbar                       1307 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~u_R ~u_Rbar                       1308 |         260         18         18 |   9.704e-13  1.172e-13 |
 | q qbar' -> ~u_R ~c_Rbar                       1309 |          36          4          4 |   1.974e-13  6.095e-14 |
 | q qbar' -> ~c_R ~u_Rbar                       1310 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~u_R ~d_Lbar + c.c.                1313 |         899         89         89 |   3.923e-12  2.252e-13 |
 | q qbar' -> ~u_R ~s_Lbar + c.c.                1314 |         296         34         34 |   1.509e-12  1.539e-13 |
 | q qbar' -> ~u_R ~b_1bar + c.c.                1315 |         117         13         13 |   4.795e-13  7.920e-14 |
 | q qbar' -> ~u_R ~d_Rbar + c.c.                1316 |         232         18         18 |   9.181e-13  1.153e-13 |
 | q qbar' -> ~u_R ~s_Rbar + c.c.                1317 |          97          6          6 |   3.911e-13  7.772e-14 |
 | q qbar' -> ~u_R ~b_2bar + c.c.                1318 |          21          2          2 |   1.612e-13  6.008e-14 |
 | q qbar' -> ~s_R ~s_Rbar                       1319 |         112          7          7 |   2.530e-13  4.330e-14 |
 | q qbar' -> ~s_R ~b_2bar                       1320 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_2 ~s_Rbar                       1321 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_R ~c_Rbar                       1322 |         106          9          9 |   2.972e-13  6.910e-14 |
 | q qbar' -> ~c_R ~d_Lbar + c.c.                1325 |          58          5          5 |   2.284e-13  6.652e-14 |
 | q qbar' -> ~c_R ~s_Lbar + c.c.                1326 |          11          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_R ~b_1bar + c.c.                1327 |           4          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_R ~d_Rbar + c.c.                1328 |          16          2          2 |   3.367e-14  1.749e-14 |
 | q qbar' -> ~c_R ~s_Rbar + c.c.                1329 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~c_R ~b_2bar + c.c.                1330 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~b_2 ~b_2bar                       1331 |         108          5          5 |   2.758e-13  5.615e-14 |
 | q qbar' -> ~t_2 ~t_2bar                       1332 |          97          9          9 |   4.210e-13  8.380e-14 |
 | q qbar' -> ~t_2 ~d_Lbar + c.c.                1333 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_2 ~s_Lbar + c.c.                1334 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~t_2 ~b_1bar + c.c.                1335 |           5          2          2 |   7.943e-14  2.984e-14 |
 | q qbar' -> ~t_2 ~b_2bar + c.c.                1338 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~d_L ~d_L + c.c.                      1351 |         715         71         71 |   3.112e-12  1.984e-13 |
 | q q' -> ~d_L ~s_L + c.c.                      1352 |         136         15         15 |   3.449e-13  6.230e-14 |
 | q q' -> ~d_L ~b_1 + c.c.                      1353 |          44          5          5 |   2.097e-13  5.414e-14 |
 | q q' -> ~d_L ~d_R + c.c.                      1354 |         453         46         46 |   1.767e-12  1.567e-13 |
 | q q' -> ~d_L ~s_R + c.c.                      1355 |          21          3          3 |   1.623e-13  6.049e-14 |
 | q q' -> ~d_L ~b_2 + c.c.                      1356 |           7          1          1 |   9.679e-15  9.679e-15 |
 | q q' -> ~u_L ~u_L + c.c.                      1357 |        4520        542        542 |   2.102e-11  4.986e-13 |
 | q q' -> ~u_L ~c_L + c.c.                      1358 |         139         15         15 |   5.313e-13  8.662e-14 |
 | q q' -> ~u_L ~u_R + c.c.                      1360 |        3272        374        374 |   1.494e-11  4.618e-13 |
 | q q' -> ~u_L ~c_R + c.c.                      1361 |          37          2          2 |   6.931e-14  2.819e-14 |
 | q q' -> ~u_L ~d_L + c.c.                      1363 |        6568        691        691 |   2.810e-11  5.920e-13 |
 | q q' -> ~u_L ~s_L + c.c.                      1364 |         325         40         40 |   1.545e-12  1.409e-13 |
 | q q' -> ~u_L ~b_1 + c.c.                      1365 |          31          6          6 |   2.013e-13  4.909e-14 |
 | q q' -> ~u_L ~d_R + c.c.                      1366 |        1831        130        130 |   5.250e-12  2.709e-13 |
 | q q' -> ~u_L ~s_R + c.c.                      1367 |          87          4          4 |   2.076e-13  3.797e-14 |
 | q q' -> ~u_L ~b_2 + c.c.                      1368 |          67          9          9 |   4.841e-13  8.633e-14 |
 | q q' -> ~s_L ~s_L + c.c.                      1369 |          12          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~s_L ~b_1 + c.c.                      1370 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~s_L ~d_R + c.c.                      1371 |          35          3          3 |   8.292e-14  2.361e-14 |
 | q q' -> ~s_L ~s_R + c.c.                      1372 |           2          1          1 |   1.165e-14  1.165e-14 |
 | q q' -> ~s_L ~b_2 + c.c.                      1373 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_L ~c_L + c.c.                      1374 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_L ~u_R + c.c.                      1376 |          33          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_L ~c_R + c.c.                      1377 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_L ~d_L + c.c.                      1379 |          84         14         14 |   3.186e-13  5.501e-14 |
 | q q' -> ~c_L ~s_L + c.c.                      1380 |          12          1          1 |   4.926e-14  4.926e-14 |
 | q q' -> ~c_L ~b_1 + c.c.                      1381 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_L ~d_R + c.c.                      1382 |          13          2          2 |   1.043e-13  3.403e-14 |
 | q q' -> ~c_L ~s_R + c.c.                      1383 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_L ~b_2 + c.c.                      1384 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~b_1 ~b_1 + c.c.                      1385 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~b_1 ~d_R + c.c.                      1386 |          10          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~b_1 ~s_R + c.c.                      1387 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~b_1 ~b_2 + c.c.                      1388 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_1 ~d_L + c.c.                      1393 |          11          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_1 ~s_L + c.c.                      1394 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_1 ~b_1 + c.c.                      1395 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_1 ~b_2 + c.c.                      1398 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~d_R ~d_R + c.c.                      1399 |         727         93         93 |   3.226e-12  1.997e-13 |
 | q q' -> ~d_R ~s_R + c.c.                      1400 |         173          9          9 |   5.179e-13  7.595e-14 |
 | q q' -> ~d_R ~b_2 + c.c.                      1401 |          46          3          3 |   1.156e-13  3.463e-14 |
 | q q' -> ~u_R ~u_R + c.c.                      1402 |        3978        540        540 |   2.227e-11  5.286e-13 |
 | q q' -> ~u_R ~c_R + c.c.                      1403 |         174         16         16 |   6.968e-13  9.604e-14 |
 | q q' -> ~u_R ~d_L + c.c.                      1405 |        1823        137        137 |   5.493e-12  2.749e-13 |
 | q q' -> ~u_R ~s_L + c.c.                      1406 |          73          5          5 |   2.935e-13  6.540e-14 |
 | q q' -> ~u_R ~b_1 + c.c.                      1407 |         109         17         17 |   5.458e-13  8.747e-14 |
 | q q' -> ~u_R ~d_R + c.c.                      1408 |        5546        590        590 |   2.249e-11  5.283e-13 |
 | q q' -> ~u_R ~s_R + c.c.                      1409 |         377         42         42 |   1.523e-12  1.378e-13 |
 | q q' -> ~u_R ~b_2 + c.c.                      1410 |          35          4          4 |   1.988e-13  5.565e-14 |
 | q q' -> ~s_R ~s_R + c.c.                      1411 |           9          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~s_R ~b_2 + c.c.                      1412 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_R ~c_R + c.c.                      1413 |           3          1          1 |   1.226e-14  1.226e-14 |
 | q q' -> ~c_R ~d_L + c.c.                      1415 |          18          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_R ~s_L + c.c.                      1416 |           4          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_R ~b_1 + c.c.                      1417 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_R ~d_R + c.c.                      1418 |          82          5          5 |   2.366e-13  6.518e-14 |
 | q q' -> ~c_R ~s_R + c.c.                      1419 |           6          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~c_R ~b_2 + c.c.                      1420 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~b_2 ~b_2 + c.c.                      1421 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_2 ~d_L + c.c.                      1423 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_2 ~s_L + c.c.                      1424 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_2 ~b_1 + c.c.                      1425 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q q' -> ~t_2 ~b_2 + c.c.                      1428 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_10 ~d_L + c.c. (q=d,s,b)          1431 |          23          5          5 |   1.619e-13  5.543e-14 |
 | q g -> ~chi_10 ~u_L + c.c. (q=u,c)            1432 |          46          2          2 |   1.586e-13  4.322e-14 |
 | q g -> ~chi_10 ~s_L + c.c. (q=d,s,b)          1433 |           9          1          1 |   3.399e-14  3.399e-14 |
 | q g -> ~chi_10 ~c_L + c.c. (q=u,c)            1434 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_10 ~b_1 + c.c. (q=d,s,b)          1435 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_10 ~d_R + c.c. (q=d,s,b)          1437 |         118         19         19 |   7.660e-13  9.908e-14 |
 | q g -> ~chi_10 ~u_R + c.c. (q=u,c)            1438 |        1117        149        149 |   5.885e-12  2.734e-13 |
 | q g -> ~chi_10 ~s_R + c.c. (q=d,s,b)          1439 |          16          1          1 |   1.990e-14  1.990e-14 |
 | q g -> ~chi_10 ~c_R + c.c. (q=u,c)            1440 |          41          3          3 |   1.572e-13  5.527e-14 |
 | q g -> ~chi_10 ~b_2 + c.c. (q=d,s,b)          1441 |           9          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_20 ~d_L + c.c. (q=d,s,b)          1443 |         367         39         39 |   2.187e-12  1.832e-13 |
 | q g -> ~chi_20 ~u_L + c.c. (q=u,c)            1444 |         829        114        114 |   4.786e-12  2.575e-13 |
 | q g -> ~chi_20 ~s_L + c.c. (q=d,s,b)          1445 |          54          4          4 |   1.191e-13  3.232e-14 |
 | q g -> ~chi_20 ~c_L + c.c. (q=u,c)            1446 |          31          1          1 |   7.297e-14  7.297e-14 |
 | q g -> ~chi_20 ~b_1 + c.c. (q=d,s,b)          1447 |          34          1          1 |   6.194e-14  6.194e-14 |
 | q g -> ~chi_20 ~d_R + c.c. (q=d,s,b)          1449 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_20 ~u_R + c.c. (q=u,c)            1450 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_20 ~s_R + c.c. (q=d,s,b)          1451 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_20 ~c_R + c.c. (q=u,c)            1452 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_20 ~b_2 + c.c. (q=d,s,b)          1453 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~d_L + c.c. (q=d,s,b)          1455 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~u_L + c.c. (q=u,c)            1456 |           1          1          1 |   1.037e-14  1.037e-14 |
 | q g -> ~chi_30 ~s_L + c.c. (q=d,s,b)          1457 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~c_L + c.c. (q=u,c)            1458 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~b_1 + c.c. (q=d,s,b)          1459 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~d_R + c.c. (q=d,s,b)          1461 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~u_R + c.c. (q=u,c)            1462 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~s_R + c.c. (q=d,s,b)          1463 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~c_R + c.c. (q=u,c)            1464 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_30 ~b_2 + c.c. (q=d,s,b)          1465 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~d_L + c.c. (q=d,s,b)          1467 |          16          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~u_L + c.c. (q=u,c)            1468 |          25          4          4 |   8.633e-14  2.528e-14 |
 | q g -> ~chi_40 ~s_L + c.c. (q=d,s,b)          1469 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~c_L + c.c. (q=u,c)            1470 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~b_1 + c.c. (q=d,s,b)          1471 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~d_R + c.c. (q=d,s,b)          1473 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~u_R + c.c. (q=u,c)            1474 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~s_R + c.c. (q=d,s,b)          1475 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~c_R + c.c. (q=u,c)            1476 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_40 ~b_2 + c.c. (q=d,s,b)          1477 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_1+ ~d_L + c.c. (q=u,c)            1491 |        3962        553        553 |   2.249e-11  5.607e-13 |
 | q g -> ~chi_1- ~u_L + c.c. (q=d,s,b)          1492 |        1877        212        212 |   9.513e-12  3.826e-13 |
 | q g -> ~chi_1+ ~s_L + c.c. (q=u,c)            1493 |         358         32         32 |   1.696e-12  1.439e-13 |
 | q g -> ~chi_1- ~c_L + c.c. (q=d,s,b)          1494 |         416         37         37 |   1.438e-12  1.394e-13 |
 | q g -> ~chi_1+ ~b_1 + c.c. (q=u,c)            1495 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_1- ~t_1 + c.c. (q=d,s,b)          1496 |         412         34         34 |   1.547e-12  1.470e-13 |
 | q g -> ~chi_1+ ~b_2 + c.c. (q=u,c)            1501 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_1- ~t_2 + c.c. (q=d,s,b)          1502 |           5          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_2+ ~d_L + c.c. (q=u,c)            1503 |         153         23         23 |   8.935e-13  1.114e-13 |
 | q g -> ~chi_2- ~u_L + c.c. (q=d,s,b)          1504 |          87         11         11 |   3.109e-13  6.047e-14 |
 | q g -> ~chi_2+ ~s_L + c.c. (q=u,c)            1505 |          18          1          1 |   2.442e-14  2.442e-14 |
 | q g -> ~chi_2- ~c_L + c.c. (q=d,s,b)          1506 |          17          4          4 |   9.385e-14  3.551e-14 |
 | q g -> ~chi_2+ ~b_1 + c.c. (q=u,c)            1507 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_2- ~t_1 + c.c. (q=d,s,b)          1508 |         249         22         22 |   8.811e-13  1.172e-13 |
 | q g -> ~chi_2+ ~b_2 + c.c. (q=u,c)            1513 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q g -> ~chi_2- ~t_2 + c.c. (q=d,s,b)          1514 |           5          1          1 |   7.155e-14  7.155e-14 |
 | q qbar' -> ~chi_10 ~chi_10                    1551 |         141         18         18 |   5.072e-13  7.939e-14 |
 | q qbar' -> ~chi_10 ~chi_20                    1552 |          15          1          1 |   5.193e-14  5.193e-14 |
 | q qbar' -> ~chi_20 ~chi_20                    1553 |          96         14         14 |   4.952e-13  8.264e-14 |
 | q qbar' -> ~chi_10 ~chi_30                    1554 |           5          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_20 ~chi_30                    1555 |          19          3          3 |   1.044e-13  2.704e-14 |
 | q qbar' -> ~chi_30 ~chi_30                    1556 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_10 ~chi_40                    1557 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_20 ~chi_40                    1558 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_30 ~chi_40                    1559 |          96         14         14 |   5.551e-13  8.107e-14 |
 | q qbar' -> ~chi_40 ~chi_40                    1560 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_1+ ~chi_10                    1571 |          37          3          3 |   1.152e-13  3.228e-14 |
 | q qbar' -> ~chi_1- ~chi_10                    1572 |          11          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_2+ ~chi_10                    1573 |           9          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_2- ~chi_10                    1574 |           3          1          1 |   3.414e-15  3.414e-15 |
 | q qbar' -> ~chi_1+ ~chi_20                    1575 |        2569        487        487 |   1.878e-11  5.000e-13 |
 | q qbar' -> ~chi_1- ~chi_20                    1576 |        1167        184        184 |   7.588e-12  3.225e-13 |
 | q qbar' -> ~chi_2+ ~chi_20                    1577 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_2- ~chi_20                    1578 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_1+ ~chi_30                    1579 |          22          6          6 |   1.903e-13  5.345e-14 |
 | q qbar' -> ~chi_1- ~chi_30                    1580 |           8          1          1 |   5.394e-14  5.394e-14 |
 | q qbar' -> ~chi_2+ ~chi_30                    1581 |         152         33         33 |   1.260e-12  1.191e-13 |
 | q qbar' -> ~chi_2- ~chi_30                    1582 |          52         11         11 |   3.765e-13  7.035e-14 |
 | q qbar' -> ~chi_1+ ~chi_40                    1583 |           2          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_1- ~chi_40                    1584 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar' -> ~chi_2+ ~chi_40                    1585 |         153         24         24 |   9.079e-13  1.014e-13 |
 | q qbar' -> ~chi_2- ~chi_40                    1586 |          48          8          8 |   2.566e-13  5.910e-14 |
 | q qbar' -> ~chi_1+ ~chi_1-                    1591 |        1939        332        332 |   1.381e-11  4.219e-13 |
 | q qbar' -> ~chi_1+ ~chi_2-                    1592 |           4          1          1 |   1.088e-13  1.088e-13 |
 | q qbar' -> ~chi_2+ ~chi_1-                    1593 |           6          1          1 |   5.438e-14  5.438e-14 |
 | q qbar' -> ~chi_2+ ~chi_2-                    1594 |         100         15         15 |   6.950e-13  9.517e-14 |
 | q qbar' -> ~g ~chi_10                         1601 |         320         46         46 |   1.731e-12  1.606e-13 |
 | q qbar' -> ~g ~chi_20                         1602 |         355         34         34 |   1.219e-12  1.290e-13 |
 | q qbar' -> ~g ~chi_30                         1603 |           5          1          1 |   2.819e-14  2.819e-14 |
 | q qbar' -> ~g ~chi_40                         1604 |           8          2          2 |   5.032e-14  2.277e-14 |
 | q qbar' -> ~g ~chi_1+ + c.c                   1621 |         753         88         88 |   3.683e-12  2.281e-13 |
 | q qbar' -> ~g ~chi_2+ + c.c                   1622 |          21          3          3 |   1.034e-13  4.189e-14 |
 | q qbar' -> ~e_L- ~e_L+                        1651 |         199         21         21 |   9.264e-13  1.068e-13 |
 | q qbar' -> ~nu_eL ~nu_eLbar                   1662 |         211         21         21 |   8.296e-13  1.017e-13 |
 | q qbar' -> ~nu_eL ~e_L+ + c.c.                1673 |         758         70         70 |   3.207e-12  2.072e-13 |
 | q qbar' -> ~mu_L- ~mu_L+                      1679 |         172         24         24 |   9.285e-13  1.075e-13 |
 | q qbar' -> ~nu_muL ~nu_muLbar                 1688 |         215         24         24 |   8.491e-13  1.036e-13 |
 | q qbar' -> ~nu_muL ~mu_L+ + c.c.              1698 |         709         86         86 |   3.400e-12  2.181e-13 |
 | q qbar' -> ~tau_1- ~tau_1+                    1703 |         603         87         87 |   3.053e-12  2.072e-13 |
 | q qbar' -> ~tau_1- ~tau_2+                    1708 |         256         35         35 |   1.282e-12  1.310e-13 |
 | q qbar' -> ~tau_2- ~tau_1+                    1709 |         236         26         26 |   9.915e-13  1.206e-13 |
 | q qbar' -> ~nu_tauL ~nu_tauLbar               1710 |         210         22         22 |   9.464e-13  1.138e-13 |
 | q qbar' -> ~nu_tauL ~tau_1+ + c.c.            1719 |          30          2          2 |   1.813e-13  5.629e-14 |
 | q qbar' -> ~nu_tauL ~tau_2+ + c.c.            1722 |         738         83         83 |   3.133e-12  2.091e-13 |
 | q qbar' -> ~e_R- ~e_R+                        1723 |         518         55         55 |   3.009e-12  2.179e-13 |
 | q qbar' -> ~mu_R- ~mu_R+                      1739 |         531         66         66 |   2.545e-12  1.887e-13 |
 | q qbar' -> ~tau_2- ~tau_2+                    1751 |         159         16         16 |   7.287e-13  9.916e-14 |
 |                                                    |                                   |                        |
 | sum                                                |       86891      10000      10000 |   4.012e-10  2.314e-12 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Warning in TauDecays::decay: maximum decay weight exceeded in tau decay                                | 
 |   9600   Warning in TauDecays::decay: unknown tau production, assuming unpolarized and uncorrelated             | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:07       deviation from energy-momentum conservation

        1.00*10^ 4  X                                                                                                   
        0.96*10^ 4  X                                                                                                   
        0.92*10^ 4  X                                                                                                   
        0.88*10^ 4  X                                                                                                   
        0.84*10^ 4  X                                                                                                   
        0.80*10^ 4  X                                                                                                   
        0.76*10^ 4  X                                                                                                   
        0.72*10^ 4  X                                                                                                   
        0.68*10^ 4  X                                                                                                   
        0.64*10^ 4  X                                                                                                   
        0.60*10^ 4  X                                                                                                   
        0.56*10^ 4  X                                                                                                   
        0.52*10^ 4  X                                                                                                   
        0.48*10^ 4  X                                                                                                   
        0.44*10^ 4  X                                                                                                   
        0.40*10^ 4  X                                                                                                   
        0.36*10^ 4  X                                                                                                   
        0.32*10^ 4  X                                                                                                   
        0.28*10^ 4  X                                                                                                   
        0.24*10^ 4  X                                                                                                   
        0.20*10^ 4  X                                                                                                   
        0.16*10^ 4  X                                                                                                   
        0.12*10^ 4  X                                                                                                   
        0.08*10^ 4  X                                                                                                   
        0.04*10^ 4  X                                                                                                   

          Contents                                                                                                      
            *10^ 4  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-3  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-4  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-5  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =       10000    Mean =  5.0000e-05    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+04    Rms  =  0.0000e+00    Overflow  =  0.0000e+00    High edge =  1.0000e-02


  2013-09-20 16:07       final particle multiplicity

        6.25*10^ 3   5                                                                                                  
        6.00*10^ 3   X                                                                                                  
        5.75*10^ 3   X                                                                                                  
        5.50*10^ 3   X                                                                                                  
        5.25*10^ 3   X                                                                                                  
        5.00*10^ 3   X                                                                                                  
        4.75*10^ 3   X                                                                                                  
        4.50*10^ 3   X                                                                                                  
        4.25*10^ 3   X                                                                                                  
        4.00*10^ 3   X                                                                                                  
        3.75*10^ 3   X                                                                                                  
        3.50*10^ 3   X                                                                                                  
        3.25*10^ 3   X                                                                                                  
        3.00*10^ 3   X                                                                                                  
        2.75*10^ 3   X                                                                                                  
        2.50*10^ 3   X8                                                                                                 
        2.25*10^ 3   XX                                                                                                 
        2.00*10^ 3   XX                                                                                                 
        1.75*10^ 3   XX                                                                                                 
        1.50*10^ 3   XX                                                                                                 
        1.25*10^ 3  9XX                                                                                                 
        1.00*10^ 3  XXX                                                                                                 
        0.75*10^ 3  XXX                                                                                                 
        0.50*10^ 3  XXX                                                                                                 
        0.25*10^ 3  XXX8                                                                                                

          Contents                                                                                                      
            *10^ 3  1620000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  2141000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  1259100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  5717000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =       10000    Mean =  1.2828e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+04    Rms  =  5.2267e+00    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:07       dn/dy for particles

        7.80*10^ 3                                                   561                                                
        7.50*10^ 3                                                   XXX                                                
        7.20*10^ 3                                                  8XXX                                                
        6.90*10^ 3                                                 2XXXX7                                               
        6.60*10^ 3                                                 XXXXXX                                               
        6.30*10^ 3                                                 XXXXXX1                                              
        6.00*10^ 3                                                6XXXXXXX                                              
        5.70*10^ 3                                                XXXXXXXX                                              
        5.40*10^ 3                                                XXXXXXXX                                              
        5.10*10^ 3                                               5XXXXXXXX7                                             
        4.80*10^ 3                                               XXXXXXXXXX                                             
        4.50*10^ 3                                               XXXXXXXXXX                                             
        4.20*10^ 3                                              4XXXXXXXXXXX                                            
        3.90*10^ 3                                              XXXXXXXXXXXX                                            
        3.60*10^ 3                                              XXXXXXXXXXXX                                            
        3.30*10^ 3                                             7XXXXXXXXXXXX6                                           
        3.00*10^ 3                                             XXXXXXXXXXXXXX                                           
        2.70*10^ 3                                            1XXXXXXXXXXXXXX                                           
        2.40*10^ 3                                            XXXXXXXXXXXXXXX8                                          
        2.10*10^ 3                                            XXXXXXXXXXXXXXXX                                  2       
        1.80*10^ 3       37X4                                9XXXXXXXXXXXXXXXXX                                5X92     
        1.50*10^ 3       XXXX2                              1XXXXXXXXXXXXXXXXXX3                              3XXXX     
        1.20*10^ 3      8XXXXX1                             XXXXXXXXXXXXXXXXXXXX2                            3XXXXX8    
        0.90*10^ 3      XXXXXXX4                           8XXXXXXXXXXXXXXXXXXXXX                           2XXXXXXX    
        0.60*10^ 3     9XXXXXXXX74211                   14XXXXXXXXXXXXXXXXXXXXXXXX4                     2237XXXXXXXX7   
        0.30*10^ 3   18XXXXXXXXXXXXXX9887655543433333457XXXXXXXXXXXXXXXXXXXXXXXXXXXX654343333445566588XXXXXXXXXXXXXXX71 

          Contents                                                                                                      
            *10^ 3  0000111111000000000000000000000000000000112344567777665432110000000000000000000000000000001111110000
            *10^ 2  0025157862975433322221111101100001123458274209861665800113829542111010000111111122323335692687515200
            *10^ 1  0237480115211272253317553290098872501293473115845682020875096928952829889214568634085790778458431130
            *10^ 0  9583718081395035766336745067414562886247221048773380693714603495485712337399251227293066285073864187

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =      128105    Mean =  9.2795e-03    Underflow =  3.0000e+00    Low edge  = -1.0000e+01
   All chan =  1.2810e+05    Rms  =  4.0874e+00    Overflow  =  3.0000e+00    High edge =  1.0000e+01
pythia8-8.1.86.orig/examples/outref/out080000644000175000017500000005645412357054711016406 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:02:07    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

 PYTHIA Error in Pythia::check: unmatched particle energy/momentum/mass  
 PYTHIA Abort from Pythia::next: check of event revealed problems  
 PYTHIA Warning in MultipartonInteractions::pTfirst: weight above unity  
 PYTHIA Warning in MultipartonInteractions::pTnext: weight above unity  
 PYTHIA Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated  


  2013-09-20 16:02       pTHat distribution, unweighted

        1.35*10^ 4     47                                                                                               
        1.30*10^ 4     XX                                                                                               
        1.25*10^ 4     XX5                                                                                              
        1.20*10^ 4     XXX                                                                                              
        1.15*10^ 4     XXX                                                                                              
        1.10*10^ 4    7XXX                                                                                              
        1.05*10^ 4    XXXX8                                                                                             
        1.00*10^ 4    XXXXX                                                                                             
        0.95*10^ 4    XXXXX                                                                                             
        0.90*10^ 4    XXXXX                                                                                             
        0.85*10^ 4    XXXXX7                                                                                            
        0.80*10^ 4    XXXXXX                                                                                            
        0.75*10^ 4    XXXXXX                                                                                            
        0.70*10^ 4    XXXXXX                                                                                            
        0.65*10^ 4    XXXXXX3                                                                                           
        0.60*10^ 4    XXXXXXX                                                                                           
        0.55*10^ 4    XXXXXXX                                                                                           
        0.50*10^ 4   4XXXXXXX3                                                                                          
        0.45*10^ 4   XXXXXXXXX                                                                                          
        0.40*10^ 4   XXXXXXXXX                                                                                          
        0.35*10^ 4   XXXXXXXXX8                                                                                         
        0.30*10^ 4   XXXXXXXXXX2        1                                                                               
        0.25*10^ 4   XXXXXXXXXXX        X77663412                                                                       
        0.20*10^ 4  2XXXXXXXXXXX7       XXXXXXXXXX9X7764433221 2                                                        
        0.15*10^ 4  XXXXXXXXXXXXX82     XXXXXXXXXXXXXXXXXXXXXXXX9999866554443432212 1 1                                 
        0.10*10^ 4  XXXXXXXXXXXXXXX73   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XX9X899767777666666464534444334232
        0.05*10^ 4  XXXXXXXXXXXXXXXXXX87XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 4  0011111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 3  1403320864321110000022222222211211111111111111111111111111111111101000000000000000000000000000000000
            *10^ 2  6681323316358308643353333120199088776666554544444322222111111000090999999888888788888776766677666666
            *10^ 1  0849369744984893689536720727394246929732849975330283701849610682473839056525553921021289479810558231

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      198410    Mean =  2.8628e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.9841e+05    Rms  =  2.7496e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:02       pTHat distribution, weighted

        7.80*10^ 0     36                                                                                               
        7.50*10^ 0     XX                                                                                               
        7.20*10^ 0     XX5                                                                                              
        6.90*10^ 0     XXX                                                                                              
        6.60*10^ 0     XXX                                                                                              
        6.30*10^ 0    8XXX                                                                                              
        6.00*10^ 0    XXXX9                                                                                             
        5.70*10^ 0    XXXXX                                                                                             
        5.40*10^ 0    XXXXX                                                                                             
        5.10*10^ 0    XXXXX1                                                                                            
        4.80*10^ 0    XXXXXX                                                                                            
        4.50*10^ 0    XXXXXX                                                                                            
        4.20*10^ 0    XXXXXX                                                                                            
        3.90*10^ 0    XXXXXX                                                                                            
        3.60*10^ 0    XXXXXX8                                                                                           
        3.30*10^ 0    XXXXXXX                                                                                           
        3.00*10^ 0    XXXXXXX                                                                                           
        2.70*10^ 0   XXXXXXXX9                                                                                          
        2.40*10^ 0   XXXXXXXXX                                                                                          
        2.10*10^ 0   XXXXXXXXX5                                                                                         
        1.80*10^ 0   XXXXXXXXXX                                                                                         
        1.50*10^ 0   XXXXXXXXXX9                                                                                        
        1.20*10^ 0  1XXXXXXXXXXX5                                                                                       
        0.90*10^ 0  XXXXXXXXXXXXX61                                                                                     
        0.60*10^ 0  XXXXXXXXXXXXXXX63                                                                                   
        0.30*10^ 0  XXXXXXXXXXXXXXXXX97754332221111111                                                                  

          Contents                                                                                                      
            *10^ 0  0267775432111000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  9625609856940764322111100000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  1939757137485927772952087554322211111000000000000000000000000000000000000000000000000000000000000000
            *10^-3  8550167642929398753682241700695386420987665544333222222111111111111100000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      198410    Mean =  6.4833e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  5.7587e+01    Rms  =  4.5420e+00    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:02       pTHat distribution, pT3*weighted

        2.32*10^ 3           5                                                                                          
        2.24*10^ 3           XXX                                                                                        
        2.16*10^ 3          XXXX                                                                                        
        2.08*10^ 3         2XXXX8                                                                                       
        2.00*10^ 3         XXXXXX2                                                                                      
        1.92*10^ 3         XXXXXXX8                                                                                     
        1.84*10^ 3         XXXXXXXX2                                                                                    
        1.76*10^ 3         XXXXXXXXX2                                                                                   
        1.68*10^ 3        5XXXXXXXXXX                                                                                   
        1.60*10^ 3        XXXXXXXXXXX                                                                                   
        1.52*10^ 3        XXXXXXXXXXX4 1                                                                                
        1.44*10^ 3        XXXXXXXXXXXX6X                                                                                
        1.36*10^ 3        XXXXXXXXXXXXXXX                                                                               
        1.28*10^ 3        XXXXXXXXXXXXXXX1                                                                              
        1.20*10^ 3       7XXXXXXXXXXXXXXXX6                                                                             
        1.12*10^ 3       XXXXXXXXXXXXXXXXXX6                                                                            
        1.04*10^ 3       XXXXXXXXXXXXXXXXXXX9                                                                           
        0.96*10^ 3       XXXXXXXXXXXXXXXXXXXX76                                                                         
        0.88*10^ 3       XXXXXXXXXXXXXXXXXXXXXX43                                                                       
        0.80*10^ 3       XXXXXXXXXXXXXXXXXXXXXXXX3                                                                      
        0.72*10^ 3      8XXXXXXXXXXXXXXXXXXXXXXXXX89                                                                    
        0.64*10^ 3      XXXXXXXXXXXXXXXXXXXXXXXXXXXX872                                                                 
        0.56*10^ 3      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX741                                                              
        0.48*10^ 3      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9641 1                                                        
        0.40*10^ 3     2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8X6421                                                    
        0.32*10^ 3     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX753311                                             
        0.24*10^ 3     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX989765442212                                 
        0.16*10^ 3    3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X8896565554443432312 1 1       
        0.08*10^ 3   2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9X998

          Contents                                                                                                      
            *10^ 3  0000011222222111111111111000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0013716012220997644432100998877766555444443433333222222222222111111111111111111111111010000000000000
            *10^ 1  0103073158446307971561683323240021731965308065431986644323200998867655444322221111000908988888777776
            *10^ 0  0264879973345989432030585962332953350082088462019504786440062230053219389046428141897408334252658018

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      198410    Mean =  2.6198e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  5.5321e+04    Rms  =  2.0367e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:02       pTHat distribution, pT5*weighted

        7.80*10^ 5                                             5             31   1   5  6 2X          45               
        7.50*10^ 5                                             X1359X1  5 31 XX472X29 X6 X XX   153 654XX X 3   3   2   
        7.20*10^ 5                                 4      15543XXXXXXX73X6XX8XXXXXXXX7XX7X7XX4 9XXX3XXXXX X X   XX  X   
        6.90*10^ 5                              3  X 9756XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9XXXXXXXXXX9X4X2X9XX77X283
        6.60*10^ 5                            7 X68XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        6.30*10^ 5                          73XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        6.00*10^ 5                      1 6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        5.70*10^ 5                     4X6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        5.40*10^ 5                     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        5.10*10^ 5                    1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        4.80*10^ 5                  4 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        4.50*10^ 5                 3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        4.20*10^ 5                4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        3.90*10^ 5                XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        3.60*10^ 5               7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        3.30*10^ 5              8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        3.00*10^ 5             9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        2.70*10^ 5            2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        2.40*10^ 5            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        2.10*10^ 5           9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        1.80*10^ 5          2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        1.50*10^ 5          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        1.20*10^ 5         8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.90*10^ 5        3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.60*10^ 5       2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX
        0.30*10^ 5     15XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX

          Contents                                                                                                      
            *10^ 5  0000000112223344444555566666666766666667777777777777777777777777777777777767777677777676766677667666
            *10^ 4  0000136150492502658575802152645068877890000622345210303216533252406306058081232933366857269831782687
            *10^ 3  0004469366763207113129910009863307249934430449571320690150209715895897950267338894215711850609915650
            *10^ 2  0073729915282568553762509363666124250498630610340131010821375286150481746106674538387245101336655432

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      198410    Mean =  5.7207e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  6.0914e+07    Rms  =  2.4918e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02
pythia8-8.1.86.orig/examples/outref/out010000644000175000017500000050727612357054710016401 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:00:09    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 8.000e+03 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   2.223e+00 |
 | g g -> q qbar (uds)                            112 |   2.283e-02 |
 | q g -> q g                                     113 |   1.242e+00 |
 | q q(bar)' -> q q(bar)'                         114 |   1.294e-01 |
 | q qbar -> g g                                  115 |   9.369e-04 |
 | q qbar -> q' qbar' (uds)                       116 |   4.182e-04 |
 | g g -> c cbar                                  121 |   7.525e-03 |
 | q qbar -> c cbar                               122 |   1.386e-04 |
 | g g -> b bbar                                  123 |   6.766e-03 |
 | q qbar -> b bbar                               124 |   1.311e-04 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   52.12 mb               | 
 |                                                                  | 
 |    pT0 =  2.77 gives sigmaInteraction =  218.38 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 8000.000 |    14000.000    10.00000             | 
 | HardQCD:all                                   |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                 20.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  4.000e+03, e =  4.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -4.000e+03, e =  4.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  1.513e-02, pdf =  5.952e+00 at Q2 =  4.117e+02.
 In 2: id =   21, x =  3.405e-02, pdf =  3.148e+00 at same Q2.

 Subprocess g g -> g g with code 111 is 2 -> 2.
 It has sHat =  3.297e+04,    tHat = -4.170e+02,    uHat = -3.255e+04,
       pTHat =  2.029e+01,   m3Hat =  0.000e+00,   m4Hat =  0.000e+00,
    thetaHat =  2.254e-01,  phiHat =  5.974e-01.
     alphaEM =  7.687e-03,  alphaS =  1.794e-01    at Q2 =  4.117e+02.

 Impact parameter b =  7.973e-01 gives enhancement factor =  1.255e+00.
 Max pT scale for MPI =  2.029e+01, ISR =  2.029e+01, FSR =  2.029e+01.
 Number of MPI =     5, ISR =    12, FSRproc =    88, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3        21   (g)                -21     1     0     5     6   101   102      0.000      0.000     60.516     60.516      0.000
     4        21   (g)                -21     2     0     5     6   103   104      0.000      0.000   -136.203    136.203      0.000
     5        21   g                   23     3     4     0     0   101   104     16.776     11.413     58.028     61.473      0.000
     6        21   g                   23     3     4     0     0   103   102    -16.776    -11.413   -133.715    135.246      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000    -75.687    196.719    181.576

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0   378     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0   379     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3        21   (g)                -21     7     0     5     6   101   102      0.000      0.000     60.516     60.516      0.000
     4        21   (g)                -21     8     8     5     6   103   104      0.000      0.000   -136.203    136.203      0.000
     5        21   (g)                -23     3     4     9     9   101   104     16.776     11.413     58.028     61.473      0.000
     6        21   (g)                -23     3     4    10    10   103   102    -16.776    -11.413   -133.715    135.246      0.000
     7        21   (g)                -41    45    45    11     3   101   105      0.000     -0.000     87.477     87.477      0.000
     8        21   (g)                -42    44    44     4     4   103   104     -0.000      0.000   -136.203    136.203      0.000
     9        21   (g)                -44     5     5    42    43   101   104      3.197     16.909     59.903     62.326      0.000
    10        21   (g)                -44     6     6    48    48   103   102    -16.950    -11.342   -132.057    133.623      0.000
    11        21   (g)                -43     7     0    49    49   102   105     13.753     -5.567     23.428     27.731      0.000
    12        21   (g)                -31    16     0    14    15   106   107      0.000      0.000      0.145      0.145      0.000
    13        21   (g)                -31    17    17    14    15   108   109      0.000      0.000   -347.224    347.224      0.000
    14        21   (g)                -33    12    13    18    18   106   109      1.555     -5.730   -268.304    268.369      0.000
    15        21   (g)                -33    12    13    19    19   108   107     -1.555      5.730    -78.776     79.000      0.000
    16        21   (g)                -41   158   158    20    12   110   107      0.000      0.000      3.328      3.328      0.000
    17        21   (g)                -42   159     0    13    13   108   109     -0.000      0.000   -347.224    347.224      0.000
    18        21   (g)                -44    14    14    39    40   106   109      1.641     -6.968   -337.266    337.342      0.000
    19        21   (g)                -44    15    15   161   161   108   107     -1.263      1.520     -7.432      7.690      0.000
    20        21   (g)                -43    16     0    41    41   110   106     -0.378      5.447      0.802      5.519      0.000
    21        21   (g)                -31    34     0    23    24   112   113      0.000      0.000      5.572      5.572      0.000
    22         3   (s)                -31    35    35    23    24   111     0      0.000      0.000     -8.431      8.431      0.000
    23        21   (g)                -33    21    22    36    36   111   113     -0.302      5.197     -5.968      7.920      0.000
    24         3   (s)                -33    21    22    37    37   112     0      0.302     -5.197      3.109      6.084      0.500
    25        21   (g)                -31    29     0    27    28   114   115      0.000      0.000      8.447      8.447      0.000
    26        21   (g)                -31    30    30    27    28   116   117      0.000      0.000    -57.392     57.392      0.000
    27        21   (g)                -33    25    26    31    31   114   117     -3.593     -3.713    -56.473     56.709      0.000
    28        21   (g)                -33    25    26    32    32   116   115      3.593      3.713      7.528      9.131      0.000
    29        21   (g)                -41    58    58    33    25   114   118      0.000     -0.000    270.561    270.561      0.000
    30        21   (g)                -42    59     0    26    26   116   117     -0.000     -0.000    -57.392     57.392      0.000
    31        21   (g)                -44    27    27    60    60   114   117     -3.640     -3.765    -57.246     57.485      0.000
    32        21   (g)                -44    28    28    61    61   116   115      0.323      0.028      8.437      8.443      0.000
    33        21   (g)                -43    29     0    62    62   115   118      3.316      3.737    261.978    262.026      0.000
    34        21   (g)                -41   176   176    38    21   119   113      0.000      0.000     25.199     25.199      0.000
    35         3   (s)                -42   287   287    22    22   111     0     -0.000      0.000     -8.431      8.431      0.000
    36        21   (g)                -44    23    23   174   175   111   113     -1.039      5.205     -5.314      7.511      0.000
    37         3   (s)                -44    24    24   106   107   112     0     -3.173     -5.159      3.390      6.959      0.500
    38        21   (g)                -43    34     0   108   108   119   112      4.212     -0.046     18.692     19.161      0.000
    39        21   (g)                -51    18     0   111   111   120   109      5.118     -4.553   -277.928    278.013      0.000
    40        21   (g)                -51    18     0    66    66   106   120     -3.486     -2.282    -59.318     59.465      0.000
    41        21   (g)                -52    20    20    64    65   110   106     -0.369      5.314      0.782      5.384      0.000
    42        21   (g)                -51     9     0    47    47   101   121      4.956     11.722     49.695     51.299      0.000
    43        21   (g)                -51     9     0    50    50   121   104     -1.759      5.187      9.912     11.324      0.000
    44        21   (g)                -53    46     0     8     8   103   104     -0.000      0.000   -136.500    136.500      0.000
    45        21   (g)                -42    73    73     7     7   101   105      0.000     -0.000     87.477     87.477      0.000
    46        21   (g)                -41    57    57    51    44   122   104     -0.000      0.000   -156.361    156.361      0.000
    47        21   (g)                -44    42    42    76    76   101   121      4.973     11.717     49.627     51.233      0.000
    48        21   (g)                -44    10    10    52    53   103   102    -14.149    -12.286   -132.385    133.704      0.000
    49        21   (g)                -44    11    11    54    54   102   105     13.798     -5.582     23.550     27.860      0.000
    50        21   (g)                -44    43    43    79    79   121   104     -1.744      5.182      9.857     11.272      0.000
    51        21   (g)                -43    46     0    55    56   122   103     -2.878      0.970    -19.534     19.769      0.000
    52        21   (g)                -51    48     0    77    77   103   123    -12.080    -11.554    -97.066     98.495      0.000
    53        21   (g)                -51    48     0    81    81   123   102     -2.022     -0.752    -35.238     35.304      0.000
    54        21   (g)                -52    49    49    71    72   102   105     13.751     -5.563     23.470     27.765      0.000
    55        -4   (cbar)             -51    51     0    80    80     0   103     -2.431      1.643    -83.837     83.901      1.500
    56         4   (c)                -51    51     0    82    82   122     0     -0.447     -0.673     -8.457      8.627      1.500
    57        21   (g)                -53    75    75    46    46   122   104      0.000     -0.000   -229.120    229.120      0.000
    58        21   (g)                -42    96    96    29    29   114   118     -0.000      0.000    270.561    270.561      0.000
    59        21   (g)                -41    97     0    63    30   116   124      0.000     -0.000    -84.113     84.113      0.000
    60        21   (g)                -44    31    31    98    98   114   117     -5.685     -2.173    -57.223     57.546      0.000
    61        21   (g)                -44    32    32    99    99   116   115      0.323      0.028      8.429      8.435      0.000
    62        21   (g)                -44    33    33   100   100   115   118      3.316      3.738    261.882    261.929      0.000
    63        21   (g)                -43    59     0   101   101   117   124      2.047     -1.593    -26.639     26.765      0.000
    64        21   (g)                -51    41     0   162   162   110   125     -2.136      2.780      1.197      3.705      0.000
    65        21   (g)                -51    41     0   155   156   125   106      1.630      2.444     -2.764      4.033      0.000
    66        21   (g)                -52    40    40   109   110   106   120     -3.348     -2.191    -56.970     57.110      0.000
    67        21   (g)                -31    88     0    69    70   126   127      0.000      0.000      0.370      0.370      0.000
    68        21   (g)                -31    89    89    69    70   127   128      0.000      0.000   -207.796    207.796      0.000
    69        21   (g)                -33    67    68    90    90   126   129      1.410      1.554     -2.654      3.383      0.000
    70        21   (g)                -33    67    68    91    91   129   128     -1.410     -1.554   -204.771    204.782      0.000
    71        21   (g)                -51    54     0    78    78   102   130     10.707     -5.874     17.752     21.547      0.000
    72        21   (g)                -51    54     0    83    83   130   105      3.044      0.311      9.118      9.618      0.000
    73        21   (g)                -53    74     0    45    45   101   105      0.000     -0.000     90.877     90.877      0.000
    74        21   (g)                -41   124   124    84    73   101   131     -0.000      0.000    108.941    108.941      0.000
    75        21   (g)                -42   125     0    57    57   122   104      0.000     -0.000   -229.120    229.120      0.000
    76        21   (g)                -44    47    47   126   126   101   121      3.975     11.731     49.682     51.202      0.000
    77        21   (g)                -44    52    52    87    87   103   123    -12.094    -11.553    -97.161     98.590      0.000
    78        21   (g)                -44    71    71    95    95   102   130     10.318     -5.868     17.862     21.446      0.000
    79        21   (g)                -44    50    50   129   129   121   104     -1.953      5.185      9.841     11.294      0.000
    80        -4   (cbar)             -44    55    55   130   130     0   103     -2.432      1.643    -83.841     83.906      1.500
    81        21   (g)                -44    53    53    85    86   123   102     -2.023     -0.752    -35.250     35.316      0.000
    82         4   (c)                -44    56    56   132   132   122     0     -0.448     -0.673     -8.459      8.629      1.500
    83        21   (g)                -44    72    72    93    94   130   105      2.859      0.313      9.150      9.591      0.000
    84        21   (g)                -43    74     0   134   134   105   131      1.799     -0.026     17.997     18.087      0.000
    85        21   (g)                -51    81     0   131   131   132   102     -1.344     -1.250    -33.974     34.023      0.000
    86        21   (g)                -51    81     0   135   135   123   132     -4.724     -3.367    -33.777     34.271      0.000
    87        21   (g)                -52    77    77   127   127   103   123     -8.049     -7.689    -64.660     65.611      0.000
    88        21   (g)                -41   482   482    92    67   126   133     -0.000     -0.000     46.605     46.605      0.000
    89        21   (g)                -42   359   359    68    68   127   128      0.000      0.000   -207.796    207.796      0.000
    90        21   (g)                -44    69    69   103   104   126   129      1.045     -0.055     -0.376      1.112      0.000
    91        21   (g)                -44    70    70   105   105   129   128     -1.416     -1.577   -207.031    207.042      0.000
    92        21   (g)                -43    88     0   357   358   127   133      0.371      1.632     46.216     46.246      0.000
    93        21   (g)                -51    83     0   133   133   134   105      0.931     -0.716      0.686      1.360      0.000
    94        21   (g)                -51    83     0   136   136   130   134      5.821     -1.185     15.203     16.322      0.000
    95        21   (g)                -52    78    78   128   128   102   130      6.425     -3.654     11.123     13.355      0.000
    96        21   (g)                -42   114   114    58    58   114   118     -0.000     -0.000    270.561    270.561      0.000
    97        21   (g)                -41   139   139   102    59   135   124      0.000      0.000   -109.702    109.702      0.000
    98        21   (g)                -44    60    60   112   113   114   117     -5.352     -1.153    -57.261     57.522      0.000
    99        21   (g)                -44    61    61   141   141   116   115      0.323      0.028      8.429      8.435      0.000
   100        21   (g)                -44    62    62   142   142   115   118      3.316      3.738    261.894    261.941      0.000
   101        21   (g)                -44    63    63   120   120   117   124      2.201     -1.118    -26.648     26.762      0.000
   102        21   (g)                -43    97     0   144   144   135   116     -0.488     -1.496    -25.555     25.603      0.000
   103         2   (u)                -51    90     0   484   484   126     0     -1.307      0.035     -6.924      7.054      0.330
   104        -2   (ubar)             -51    90     0   117   117     0   129      2.280     -0.171     -4.096      4.703      0.330
   105        21   (g)                -52    91    91   115   116   129   128     -1.343     -1.496   -196.386    196.397      0.000
   106         3   (s)                -51    37     0   185   185   137     0     -3.485     -4.685      4.842      7.602      0.500
   107        21   (g)                -51    37     0   179   179   112   137      0.628     -0.478     -0.053      0.791      0.000
   108        21   (g)                -52    38    38   177   178   119   112      3.897     -0.043     17.294     17.727      0.000
   109        21   (g)                -51    66     0   157   157   106   138     -3.334     -2.433    -81.066     81.171      0.000
   110        21   (g)                -51    66     0   165   165   138   120      0.487     -0.205     -3.180      3.223      0.000
   111        21   (g)                -52    39    39   160   160   120   109      4.616     -4.106   -250.653    250.729      0.000
   112        21   (g)                -51    98     0   118   119   139   117     -5.287      0.142    -48.891     49.177      0.000
   113        21   (g)                -51    98     0   145   145   114   139     -0.066     -1.295     -8.307      8.408      0.000
   114        21   (g)                -53   138     0    96    96   114   118      0.000     -0.000    270.624    270.624      0.000
   115        21   (g)                -51   105     0   221   221   140   128     -0.611     -2.253   -129.221    129.242      0.000
   116        21   (g)                -51   105     0   171   172   129   140     -0.663      0.752    -67.283     67.291      0.000
   117        -2   (ubar)             -52   104   104   173   173     0   129      2.211     -0.166     -3.978      4.567      0.330
   118        21   (g)                -51   112     0   140   140   139   141     -0.633     -0.122     -1.647      1.768      0.000
   119        21   (g)                -51   112     0   123   123   141   117     -4.315      0.092    -51.342     51.523      0.000
   120        21   (g)                -52   101   101   121   122   117   124      1.863     -0.946    -22.550     22.647      0.000
   121        21   (g)                -51   120     0   143   143   142   124      1.275      0.556    -15.939     16.000      0.000
   122        21   (g)                -51   120     0   147   147   117   142     -0.212     -1.485    -16.127     16.197      0.000
   123        21   (g)                -52   119   119   146   146   141   117     -3.515      0.075    -41.826     41.974      0.000
   124        21   (g)                -42   242   242    74    74   101   131     -0.000      0.000    108.941    108.941      0.000
   125        21   (g)                -41   379   379   137    75   122   143      0.000     -0.000   -549.282    549.282      0.000
   126        21   (g)                -44    76    76   240   241   101   121      3.977     11.728     49.662     51.183      0.000
   127        21   (g)                -44    87    87   152   153   103   123     -7.854     -7.959    -64.657     65.617      0.000
   128        21   (g)                -44    95    95   149   150   102   130      6.429     -3.659     11.140     13.372      0.000
   129        21   (g)                -44    79    79   189   190   121   104     -1.951      5.182      9.827     11.280      0.000
   130        -4   (cbar)             -44    80    80   154   154     0   103     -2.182      1.295    -83.850     83.901      1.500
   131        21   (g)                -44    85    85   168   169   132   102     -1.243     -1.391    -33.974     34.025      0.000
   132         4   (c)                -44    82    82   386   386   122     0     -0.423     -0.709     -8.458      8.630      1.500
   133        21   (g)                -44    93    93   218   218   134   105      0.932     -0.717      0.688      1.363      0.000
   134        21   (g)                -44    84    84   269   269   105   131      1.799     -0.026     17.999     18.089      0.000
   135        21   (g)                -44    86    86   237   238   123   132     -4.622     -3.508    -33.778     34.272      0.000
   136        21   (g)                -44    94    94   151   151   130   134      5.822     -1.187     15.214     16.333      0.000
   137        21   (g)                -43   125     0   191   191   104   143     -0.684      0.952   -320.155    320.157      0.000
   138        21   (g)                -41   362   362   148   114   114   144     -0.000     -0.000    475.274    475.274      0.000
   139        21   (g)                -42   458   458    97    97   135   124      0.000     -0.000   -109.702    109.702      0.000
   140        21   (g)                -44   118   118   188   188   139   141     -0.633     -0.122     -1.646      1.768      0.000
   141        21   (g)                -44    99    99   246   247   116   115      0.346      0.000      8.429      8.436      0.000
   142        21   (g)                -44   100   100   203   203   115   118      4.033      2.870    261.901    261.948      0.000
   143        21   (g)                -44   121   121   197   197   142   124      1.275      0.555    -15.940     16.000      0.000
   144        21   (g)                -44   102   102   248   248   135   116     -0.488     -1.496    -25.556     25.605      0.000
   145        21   (g)                -44   113   113   360   361   114   139     -0.066     -1.295     -8.309      8.410      0.000
   146        21   (g)                -44   123   123   186   187   141   117     -3.515      0.074    -41.820     41.967      0.000
   147        21   (g)                -44   122   122   195   196   117   142     -0.212     -1.485    -16.129     16.199      0.000
   148        21   (g)                -43   138     0   201   202   118   144     -0.741      0.897    204.642    204.645      0.000
   149        21   (g)                -51   128     0   170   170   102   145      0.754     -0.127      3.093      3.186      0.000
   150        21   (g)                -51   128     0   222   223   145   130      8.136     -4.033     14.478     17.090      0.000
   151        21   (g)                -52   136   136   216   217   130   134      3.361     -0.685      8.783      9.429      0.000
   152        21   (g)                -51   127     0   180   181   146   123     -7.212     -7.185    -55.291     56.221      0.000
   153        21   (g)                -51   127     0   182   182   103   146     -0.811     -0.641    -16.460     16.492      0.000
   154        -4   (cbar)             -52   130   130   384   384     0   103     -2.013      1.162    -76.756     76.805      1.500
   155        21   (g)                -51    65     0   164   164   125   147      1.539      2.093     -2.013      3.287      0.000
   156        21   (g)                -51    65     0   166   166   147   106     -0.163      0.166     -6.910      6.914      0.000
   157        21   (g)                -52   109   109   163   163   106   138     -3.080     -2.248    -74.906     75.003      0.000
   158        21   (g)                -42   422   422    16    16   110   107     -0.000     -0.000      3.328      3.328      0.000
   159        21   (g)                -41   230   230   167    17   148   109      0.000      0.000   -354.578    354.578      0.000
   160        21   (g)                -44   111   111   228   229   120   109      4.534     -4.605   -253.796    253.878      0.000
   161        21   (g)                -44    19    19   425   425   108   107     -1.266      1.505     -7.530      7.783      0.000
   162        21   (g)                -44    64    64   249   250   110   125     -2.137      2.778      1.149      3.688      0.000
   163        21   (g)                -44   157   157   192   193   106   138     -3.105     -2.397    -75.845     75.946      0.000
   164        21   (g)                -44   155   155   251   251   125   147      1.539      2.087     -2.057      3.310      0.000
   165        21   (g)                -44   110   110   194   194   138   120      0.486     -0.212     -3.220      3.263      0.000
   166        21   (g)                -44   156   156   255   256   147   106     -0.165      0.153     -6.997      7.001      0.000
   167        21   (g)                -43   159     0   431   431   148   108      0.114      0.691     -2.955      3.036      0.000
   168        21   (g)                -51   131     0   239   239   132   149     -1.674     -1.458    -22.310     22.420      0.000
   169        21   (g)                -51   131     0   204   205   149   102      0.439      0.066    -11.631     11.639      0.000
   170        21   (g)                -52   149   149   206   206   102   145      0.746     -0.126      3.060      3.152      0.000
   171        21   (g)                -51   116     0   219   220   150   140     -0.680      1.438    -60.479     60.500      0.000
   172        21   (g)                -51   116     0   279   280   129   150      0.208     -0.701     -7.132      7.169      0.000
   173        -2   (ubar)             -52   117   117   281   281     0   129      2.020     -0.151     -3.651      4.188      0.330
   174        21   (g)                -51    36     0   212   212   111   151     -0.154      4.740     -5.125      6.982      0.000
   175        21   (g)                -51    36     0   210   211   151   113     -0.885      0.466      0.338      1.056      0.000
   176        21   (g)                -53   442   442    34    34   119   113      0.000      0.000     25.726     25.726      0.000
   177        21   (g)                -51   108     0   266   266   119   152      3.260      0.405     15.794     16.132      0.000
   178        21   (g)                -51   108     0   264   265   152   112      0.771     -0.550      1.488      1.764      0.000
   179        21   (g)                -52   107   107   183   184   112   137      0.494     -0.376     -0.042      0.622      0.000
   180        21   (g)                -51   152     0   263   263   153   123     -4.923     -4.446    -32.539     33.208      0.000
   181        21   (g)                -51   152     0   261   262   146   153     -2.529     -2.929    -27.639     27.909      0.000
   182        21   (g)                -52   153   153   375   376   103   146     -0.570     -0.451    -11.573     11.596      0.000
   183        21   (g)                -51   179     0   314   314   112   154     -0.702     -0.612     -0.212      0.955      0.000
   184        21   (g)                -51   179     0   312   313   154   137     -0.113     -1.496      1.972      2.478      0.000
   185         3   (s)                -52   106   106   445   445   137     0     -2.177     -2.952      3.041      4.791      0.500
   186        21   (g)                -51   146     0   465   465   155   117     -0.988      0.021    -21.227     21.250      0.000
   187        21   (g)                -51   146     0   468   468   141   155     -2.874     -0.013    -21.496     21.687      0.000
   188        21   (g)                -52   140   140   459   459   139   141     -0.286     -0.055     -0.743      0.798      0.000
   189        21   (g)                -51   129     0   198   199   121   156     -1.890      4.115      9.626     10.638      0.000
   190        21   (g)                -51   129     0   200   200   156   104     -0.062      1.068     -0.258      1.101      0.000
   191        21   (g)                -52   137   137   215   215   104   143     -0.683      0.950   -319.696    319.699      0.000
   192        21   (g)                -51   163     0   227   227   106   157     -3.081     -2.457    -76.268     76.370      0.000
   193        21   (g)                -51   163     0   225   226   157   138      0.169     -0.024     -0.856      0.872      0.000
   194        21   (g)                -52   165   165   233   233   138   120      0.293     -0.128     -1.941      1.968      0.000
   195        21   (g)                -51   147     0   299   299   117   158     -0.544     -1.081    -12.308     12.368      0.000
   196        21   (g)                -51   147     0   297   298   158   142      0.964     -0.128    -11.725     11.766      0.000
   197        21   (g)                -52   143   143   462   462   142   124      0.643      0.280     -8.035      8.065      0.000
   198        21   (g)                -51   189     0   309   310   121   159     -0.703      2.908      7.360      7.944      0.000
   199        21   (g)                -51   189     0   252   253   159   156     -1.197      1.390      2.222      2.882      0.000
   200        21   (g)                -52   190   190   213   214   156   104     -0.052      0.886     -0.214      0.912      0.000
   201        21   (g)                -51   148     0   467   467   160   144     -0.884      0.312    137.012    137.016      0.000
   202        21   (g)                -51   148     0   470   470   118   160      0.899      1.123    116.687    116.696      0.000
   203        21   (g)                -52   142   142   353   353   115   118      3.277      2.332    212.844    212.882      0.000
   204        21   (g)                -51   169     0   209   209   149   161      0.783     -0.601    -10.062     10.111      0.000
   205        21   (g)                -51   169     0   207   208   161   102     -0.318      0.662     -1.463      1.637      0.000
   206        21   (g)                -52   170   170   224   224   102   145      0.720     -0.121      2.954      3.043      0.000
   207        21   (g)                -51   205     0   347   347   162   102     -0.298      0.270     -0.339      0.526      0.000
   208        21   (g)                -51   205     0   399   399   161   162      0.393      0.076     -6.422      6.434      0.000
   209        21   (g)                -52   204   204   394   394   149   161      0.371     -0.285     -4.764      4.787      0.000
   210        21   (g)                -51   175     0   448   448   163   113     -1.019      0.098     -0.241      1.052      0.000
   211        21   (g)                -51   175     0   296   296   151   163      0.104      1.277     -0.405      1.344      0.000
   212        21   (g)                -52   174   174   285   286   111   151     -0.125      3.830     -4.141      5.642      0.000
   213        21   (g)                -51   200     0   236   236   156   164      0.570      0.426     -4.621      4.675      0.000
   214        21   (g)                -51   200     0   234   235   164   104     -0.632      0.473     -0.161      0.805      0.000
   215        21   (g)                -52   191   191   243   244   104   143     -0.673      0.937   -315.128    315.130      0.000
   216        21   (g)                -51   151     0   270   271   130   165      1.329      0.305      3.739      3.980      0.000
   217        21   (g)                -51   151     0   326   326   165   134      2.329     -1.219      5.263      5.883      0.000
   218        21   (g)                -52   133   133   267   268   134   105      0.636     -0.489      0.469      0.929      0.000
   219        21   (g)                -51   171     0   260   260   150   166     -0.032     -0.409    -38.971     38.973      0.000
   220        21   (g)                -51   171     0   258   259   166   140     -0.787      1.334    -50.930     50.954      0.000
   221        21   (g)                -52   115   115   348   349   140   128     -0.472     -1.740    -99.798     99.815      0.000
   222        21   (g)                -51   150     0   272   272   167   130      3.794     -2.620      7.598      8.888      0.000
   223        21   (g)                -51   150     0   330   331   145   167      4.584     -1.454      7.874      9.227      0.000
   224        21   (g)                -52   206   206   345   346   102   145      0.478     -0.081      1.960      2.018      0.000
   225        21   (g)                -51   193     0   368   368   168   138     -0.836     -1.177    -16.769     16.831      0.000
   226        21   (g)                -51   193     0   366   367   157   168     -0.608     -0.133    -24.024     24.032      0.000
   227        21   (g)                -52   192   192   427   427   106   157     -1.467     -1.170    -36.331     36.379      0.000
   228        21   (g)                -51   160     0   231   232   120   169      4.113     -4.716   -264.230    264.304      0.000
   229        21   (g)                -51   160     0   320   320   169   109      0.421      0.111    -11.601     11.610      0.000
   230        21   (g)                -53   423   423   159   159   148   109     -0.000      0.000   -376.613    376.613      0.000
   231        21   (g)                -51   228     0   318   319   170   169      2.772     -3.994   -209.277    209.333      0.000
   232        21   (g)                -51   228     0   303   304   120   170      1.398     -0.746    -55.329     55.352      0.000
   233        21   (g)                -52   194   194   305   305   138   120      0.236     -0.103     -1.566      1.587      0.000
   234        21   (g)                -51   214     0   245   245   171   104     -0.029     -0.051      0.238      0.245      0.000
   235        21   (g)                -51   214     0   300   301   164   171     -0.449      0.638     -1.639      1.816      0.000
   236        21   (g)                -52   213   213   254   254   156   164      0.417      0.312     -3.380      3.420      0.000
   237        21   (g)                -51   135     0   389   389   123   172     -2.231     -2.002    -15.423     15.712      0.000
   238        21   (g)                -51   135     0   404   404   172   132     -3.092     -2.116    -27.694     27.947      0.000
   239        21   (g)                -52   168   168   385   385   132   149     -0.973     -0.848    -12.970     13.034      0.000
   240        21   (g)                -51   126     0   380   380   173   121      4.320     11.092     48.090     49.542      0.000
   241        21   (g)                -51   126     0   405   405   101   173     -0.343      0.636      3.720      3.790      0.000
   242        21   (g)                -53   378   378   124   124   101   131      0.000      0.000    111.089    111.089      0.000
   243        21   (g)                -51   215     0   391   391   174   143     -0.264      1.080   -155.513    155.517      0.000
   244        21   (g)                -51   215     0   288   289   104   174     -0.409     -0.143   -159.614    159.614      0.000
   245        21   (g)                -52   234   234   290   290   171   104     -0.029     -0.051      0.236      0.244      0.000
   246        21   (g)                -51   141     0   351   352   175   115      0.837     -0.234      6.409      6.468      0.000
   247        21   (g)                -51   141     0   276   277   116   175     -0.492      0.230      1.957      2.031      0.000
   248        21   (g)                -52   144   144   278   278   135   116     -0.486     -1.492    -25.494     25.542      0.000
   249        21   (g)                -51   162     0   426   426   110   176     -2.107      2.237      1.093      3.262      0.000
   250        21   (g)                -51   162     0   436   436   176   125      0.169      0.810     -0.210      0.854      0.000
   251        21   (g)                -52   164   164   257   257   125   147      1.340      1.818     -1.791      2.882      0.000
   252        21   (g)                -51   199     0   293   293   159   177     -1.156      1.743      1.954      2.862      0.000
   253        21   (g)                -51   199     0   291   292   177   156     -0.004     -0.325     -0.036      0.327      0.000
   254        21   (g)                -52   236   236   302   302   156   164      0.380      0.284     -3.076      3.113      0.000
   255        -1   (dbar)             -51   166     0   430   430     0   106      0.407     -0.133     -2.695      2.749      0.330
   256         1   (d)                -51   166     0   437   437   147     0     -0.440      0.465     -4.479      4.536      0.330
   257        21   (g)                -52   251   251   428   428   125   147      1.208      1.638     -1.614      2.598      0.000
   258        21   (g)                -51   220     0   282   283   178   140     -0.342      0.180    -42.607     42.609      0.000
   259        21   (g)                -51   220     0   284   284   166   178     -0.459      0.974    -25.473     25.496      0.000
   260        21   (g)                -52   219   219   488   488   150   166     -0.018     -0.229    -21.822     21.823      0.000
   261        21   (g)                -51   181     0   377   377   146   179     -3.741     -3.761    -31.369     31.814      0.000
   262        21   (g)                -51   181     0   408   408   179   153     -0.301     -0.535     -6.276      6.306      0.000
   263        21   (g)                -52   180   180   381   381   153   123     -3.410     -3.079    -22.534     22.997      0.000
   264        21   (g)                -51   178     0   365   365   180   112      1.318     -0.756      4.450      4.702      0.000
   265        21   (g)                -51   178     0   452   452   152   180      0.179      0.296      0.557      0.656      0.000
   266        21   (g)                -52   177   177   446   446   119   152      2.534      0.315     12.276     12.539      0.000
   267        21   (g)                -51   218     0   273   274   134   181      1.060     -0.633      1.501      1.944      0.000
   268        21   (g)                -51   218     0   275   275   181   105     -0.210      0.141      1.115      1.143      0.000
   269        21   (g)                -52   134   134   388   388   105   131      1.584     -0.023     15.853     15.932      0.000
   270        21   (g)                -51   216     0   324   325   182   165      0.907      0.346      2.953      3.108      0.000
   271        21   (g)                -51   216     0   410   410   130   182      1.496     -0.782      2.938      3.388      0.000
   272        21   (g)                -52   222   222   332   332   167   130      2.720     -1.878      5.447      6.372      0.000
   273        21   (g)                -51   267     0   387   387   134   183      1.001     -0.737      2.113      2.452      0.000
   274        21   (g)                -51   267     0   411   411   183   181     -0.080      0.197      0.124      0.246      0.000
   275        21   (g)                -52   268   268   409   409   181   105     -0.071      0.048      0.379      0.389      0.000
   276        21   (g)                -51   247     0   374   374   184   175     -0.698      0.315      0.732      1.060      0.000
   277        21   (g)                -51   247     0   317   317   116   184      0.203     -0.094      1.086      1.109      0.000
   278        21   (g)                -52   248   248   315   316   135   116     -0.484     -1.484    -25.356     25.404      0.000
   279        21   (g)                -51   172     0   489   489   185   150      0.512      0.105     -3.939      3.973      0.000
   280        21   (g)                -51   172     0   306   307   129   185      0.023     -0.826     -3.747      3.837      0.000
   281        -2   (ubar)             -52   173   173   308   308     0   129      1.692     -0.131     -3.097      3.547      0.330
   282        21   (g)                -51   258     0   350   350   186   140     -0.699      0.157    -38.592     38.599      0.000
   283        21   (g)                -51   258     0   493   493   178   186      0.002      0.778    -23.764     23.777      0.000
   284        21   (g)                -52   259   259   491   491   166   178     -0.103      0.219     -5.724      5.729      0.000
   285        21   (g)                -51   212     0   294   295   187   151     -0.169      2.156     -3.266      3.917      0.000
   286        21   (g)                -51   212     0   453   453   111   187      0.044      1.674     -1.225      2.074      0.000
   287         3   (s)                -53   443   443    35    35   111     0     -0.000      0.000     -8.781      8.781      0.000
   288        21   (g)                -51   244     0   336   337   188   174     -0.662     -0.431   -153.667    153.669      0.000
   289        21   (g)                -51   244     0   333   334   104   188      0.252      0.286     -5.940      5.952      0.000
   290        21   (g)                -52   245   245   335   335   171   104     -0.028     -0.049      0.230      0.237      0.000
   291        21   (g)                -51   253     0   407   407   189   156      0.234     -0.065     -0.121      0.271      0.000
   292        21   (g)                -51   253     0   413   413   177   189     -0.672      0.394      0.818      1.130      0.000
   293        21   (g)                -52   252   252   311   311   159   177     -0.722      1.089      1.221      1.788      0.000
   294        21   (g)                -51   285     0   444   444   187   190     -0.026      2.774     -3.228      4.256      0.000
   295        21   (g)                -51   285     0   454   454   190   151     -0.097     -0.064     -0.214      0.244      0.000
   296        21   (g)                -52   211   211   451   451   151   163      0.059      0.724     -0.230      0.762      0.000
   297        21   (g)                -51   196     0   469   469   191   142     -0.080     -0.321     -1.480      1.516      0.000
   298        21   (g)                -51   196     0   323   323   158   191      0.845     -0.204    -14.766     14.791      0.000
   299        21   (g)                -52   195   195   321   322   117   158     -0.344     -0.684     -7.788      7.826      0.000
   300        21   (g)                -51   235     0   403   403   192   171      0.141      0.485     -0.646      0.820      0.000
   301        21   (g)                -51   235     0   414   414   164   192     -0.279      0.387     -3.519      3.551      0.000
   302        21   (g)                -52   254   254   396   396   156   164      0.068      0.051     -0.551      0.557      0.000
   303        21   (g)                -51   232     0   435   435   193   170      1.261     -0.137    -36.361     36.383      0.000
   304        21   (g)                -51   232     0   438   438   120   193      0.279     -0.671    -19.911     19.924      0.000
   305        21   (g)                -52   233   233   429   429   138   120      0.094     -0.041     -0.623      0.632      0.000
   306        21   (g)                -51   280     0   369   370   194   185     -0.235     -0.509     -1.322      1.436      0.000
   307        21   (g)                -51   280     0   371   371   129   194      0.722     -0.337     -3.202      3.300      0.000
   308        -2   (ubar)             -52   281   281   487   487     0   129      1.229     -0.111     -2.319      2.648      0.330
   309        21   (g)                -51   198     0   383   383   121   195      0.031      1.299      3.586      3.814      0.000
   310        21   (g)                -51   198     0   415   415   195   159     -0.959      1.948      4.153      4.687      0.000
   311        21   (g)                -52   293   293   397   397   159   177     -0.497      0.750      0.841      1.232      0.000
   312        21   (g)                -51   184     0   450   450   196   137     -0.216     -1.662      2.013      2.619      0.000
   313        21   (g)                -51   184     0   455   455   154   196     -0.129     -0.036     -0.111      0.174      0.000
   314        21   (g)                -52   183   183   363   364   112   154     -0.470     -0.410     -0.142      0.639      0.000
   315        21   (g)                -51   278     0   339   340   135   197     -0.451     -0.772    -21.029     21.048      0.000
   316        21   (g)                -51   278     0   327   328   197   116     -0.030     -0.713     -4.312      4.371      0.000
   317        21   (g)                -52   277   277   329   329   116   184      0.200     -0.092      1.072      1.094      0.000
   318        21   (g)                -51   231     0   342   343   170   198      0.940     -0.840    -69.668     69.680      0.000
   319        21   (g)                -51   231     0   344   344   198   169      1.954     -3.122   -142.966    143.014      0.000
   320        21   (g)                -52   229   229   434   434   169   109      0.299      0.079     -8.243      8.249      0.000
   321        21   (g)                -51   299     0   466   466   117   199      0.138     -0.740     -5.699      5.748      0.000
   322        21   (g)                -51   299     0   475   475   199   158     -0.073     -0.043     -9.234      9.234      0.000
   323        21   (g)                -52   298   298   473   473   158   191      0.436     -0.105     -7.621      7.634      0.000
   324        21   (g)                -51   270     0   390   390   182   200      1.840     -0.086      5.058      5.383      0.000
   325        21   (g)                -51   270     0   416   416   200   165     -0.010     -0.051     -0.020      0.056      0.000
   326        21   (g)                -52   217   217   401   401   165   134      1.406     -0.736      3.177      3.551      0.000
   327        21   (g)                -51   316     0   341   341   197   201      0.365     -0.372     -3.418      3.458      0.000
   328        21   (g)                -51   316     0   476   476   201   116     -0.383     -0.347     -0.830      0.978      0.000
   329        21   (g)                -52   317   317   472   472   116   184      0.189     -0.087      1.008      1.029      0.000
   330        21   (g)                -51   223     0   402   402   145   202      5.453     -2.542      9.897     11.583      0.000
   331        21   (g)                -51   223     0   417   417   202   167      0.704      0.002      1.127      1.328      0.000
   332        21   (g)                -52   272   272   392   392   167   130      1.147     -0.792      2.297      2.687      0.000
   333        21   (g)                -51   289     0   338   338   203   188      0.058     -0.332     -2.317      2.342      0.000
   334        21   (g)                -51   289     0   418   418   104   203      0.190      0.611     -3.589      3.645      0.000
   335        21   (g)                -52   290   290   400   400   171   104     -0.024     -0.042      0.196      0.202      0.000
   336        21   (g)                -51   288     0   406   406   204   174     -0.506     -0.182   -143.043    143.044      0.000
   337        21   (g)                -51   288     0   419   419   188   204     -0.146     -0.307    -11.024     11.029      0.000
   338        21   (g)                -52   333   333   412   412   203   188      0.048     -0.275     -1.917      1.937      0.000
   339        21   (g)                -51   315     0   463   463   135   205     -0.591     -0.621    -13.723     13.749      0.000
   340        21   (g)                -51   315     0   477   477   205   197      0.325     -0.339     -9.035      9.048      0.000
   341        21   (g)                -52   327   327   474   474   197   201      0.180     -0.184     -1.689      1.708      0.000
   342        21   (g)                -51   318     0   424   424   170   206      2.230     -2.388   -144.330    144.367      0.000
   343        21   (g)                -51   318     0   440   440   206   198      0.234     -0.887    -36.838     36.850      0.000
   344        21   (g)                -52   319   319   439   439   198   169      0.430     -0.687    -31.466     31.477      0.000
   345        21   (g)                -51   224     0   382   382   207   145      0.531     -0.325      1.588      1.706      0.000
   346        21   (g)                -51   224     0   420   420   102   207     -0.128      0.312      0.288      0.443      0.000
   347        21   (g)                -52   207   207   398   398   162   102     -0.224      0.203     -0.255      0.396      0.000
   348        21   (g)                -51   221     0   485   485   208   128     -0.708     -0.559    -53.609     53.617      0.000
   349        21   (g)                -51   221     0   495   495   140   208      0.008     -1.130    -58.734     58.745      0.000
   350        21   (g)                -52   282   282   490   490   186   140     -0.472      0.106    -26.047     26.052      0.000
   351        21   (g)                -51   246     0   372   373   175   209      0.737      0.172     17.413     17.430      0.000
   352        21   (g)                -51   246     0   354   355   209   115      0.296     -0.266      1.758      1.803      0.000
   353        21   (g)                -52   203   203   356   356   115   118      3.081      2.192    200.082    200.118      0.000
   354        21   (g)                -51   352     0   478   478   209   210     -0.077     -0.194      0.588      0.624      0.000
   355        21   (g)                -51   352     0   479   479   210   115      0.617      0.101     16.973     16.985      0.000
   356        21   (g)                -52   353   353   461   461   115   118      2.837      2.019    184.279    184.312      0.000
   357        21   (g)                -51    92     0   486   486   211   133      0.014      1.741     46.040     46.072      0.000
   358        21   (g)                -51    92     0   496   496   127   211      0.357     -0.109     -0.023      0.374      0.000
   359        21   (g)                -53   483   483    89    89   127   128      0.000      0.000   -207.995    207.995      0.000
   360        21   (g)                -51   145     0   464   464   212   139     -0.200     -0.216     -3.850      3.861      0.000
   361        21   (g)                -51   145     0   480   480   114   212      0.134     -1.079     -4.438      4.569      0.000
   362        21   (g)                -53   457   457   138   138   114   144      0.000      0.000    475.295    475.295      0.000
   363        21   (g)                -51   314     0   447   447   213   154     -0.581     -0.399      0.376      0.798      0.000
   364        21   (g)                -51   314     0   456   456   112   213      0.231     -0.080     -0.113      0.269      0.000
   365        21   (g)                -52   264   264   449   449   180   112      1.198     -0.687      4.044      4.274      0.000
   366        21   (g)                -51   226     0   433   433   157   214     -0.883     -0.133    -23.656     23.673      0.000
   367        21   (g)                -51   226     0   441   441   214   168     -0.054     -0.464     -6.968      6.984      0.000
   368        21   (g)                -52   225   225   432   432   168   138     -0.507     -0.714    -10.168     10.205      0.000
   369        21   (g)                -51   306     0   492   492   216   185     -0.125     -0.747     -2.262      2.386      0.000
   370        21   (g)                -51   306     0   497   497   194   216      0.378      0.009     -1.228      1.285      0.000
   371        21   (g)                -52   307   307   494   494   129   194      0.233     -0.109     -1.034      1.065      0.000
   372        21   (g)                -51   351     0   460   460   217   209      0.749      0.385     10.955     10.987      0.000
   373        21   (g)                -51   351     0   481   481   175   217     -0.052     -0.195      6.501      6.504      0.000
   374        21   (g)                -52   276   276   471   471   184   175     -0.657      0.297      0.690      0.998      0.000
   375        21   (g)                -51   182     0   393   393   103   218     -0.278     -0.253     -8.329      8.338      0.000
   376        21   (g)                -51   182     0   421   421   218   146     -1.179     -1.089    -10.685     10.805      0.000
   377        21   (g)                -52   261   261   395   395   146   179     -2.854     -2.869    -23.928     24.267      0.000
   378        21   (g)                -61     1     0   242   242   101   131     -3.471      1.940    111.060    111.131      0.000
   379        21   (g)                -61     2     0   125   125   120   143     -2.139      0.057   -549.284    549.289      0.000
   380        21   (g)                -62   240   240   648   648   173   121      2.792     11.944     48.040     49.582      0.000
   381        21   (g)                -62   263   263   509     0   153   123     -3.506     -3.073    -22.554     23.031      0.000
   382        21   (g)                -62   345   345   514     0   207   180      0.480     -0.297      1.597      1.694      0.000
   383        21   (g)                -62   309   309   647   647   121   195     -0.085      1.363      3.574      3.826      0.000
   384        -4   (cbar)             -62   154   154   512     0     0   157     -2.313      1.170    -76.794     76.852      1.500
   385        21   (g)                -62   239   239   553   553   132   138     -1.025     -0.846    -12.976     13.044      0.000
   386         4   (c)                -62   132   132   538   538   122     0     -0.459     -0.706     -8.458      8.631      1.500
   387        21   (g)                -62   273   273   516     0   134   183      0.929     -0.697      2.132      2.428      0.000
   388        21   (g)                -62   269   269   588   588   105   131      1.088      0.255     15.870     15.910      0.000
   389        21   (g)                -62   237   237   509     0   123   172     -2.296     -1.998    -15.437     15.734      0.000
   390        21   (g)                -62   324   324   592   592   182   200      1.676      0.005      5.083      5.352      0.000
   391        21   (g)                -62   243   243   631   631   174   143     -0.870      1.096   -155.527    155.533      0.000
   392        21   (g)                -62   332   332   513     0   167   130      1.069     -0.749      2.319      2.661      0.000
   393        21   (g)                -62   375   375   506     0   103   106     -0.311     -0.252     -8.331      8.341      0.000
   394        21   (g)                -62   209   209   508     0   149   161      0.352     -0.284     -4.756      4.778      0.000
   395        21   (g)                -62   377   377   510     0   146   179     -2.953     -2.863    -23.942     24.293      0.000
   396        21   (g)                -62   302   302   533     0   156   164      0.066      0.051     -0.550      0.557      0.000
   397        21   (g)                -62   311   311   536     0   159   177     -0.530      0.768      0.827      1.247      0.000
   398        21   (g)                -62   347   347   600   600   162   110     -0.228      0.205     -0.260      0.402      0.000
   399        21   (g)                -62   208   208   511     0   161   147      0.367      0.076     -6.417      6.428      0.000
   400        21   (g)                -62   335   335   535     0   171   213     -0.030     -0.039      0.196      0.202      0.000
   401        21   (g)                -62   326   326   516     0   165   134      1.300     -0.677      3.202      3.521      0.000
   402        21   (g)                -62   330   330   595   595   145   202      5.115     -2.355      9.991     11.469      0.000
   403        21   (g)                -62   300   300   532     0   192   111      0.136      0.486     -0.648      0.821      0.000
   404        21   (g)                -62   238   238   554   554   172   132     -3.205     -2.111    -27.718     27.983      0.000
   405        21   (g)                -62   241   241   649   649   101   173     -0.460      0.701      3.709      3.803      0.000
   406        21   (g)                -62   336   336   632   632   204   174     -1.063     -0.167   -143.049    143.053      0.000
   407        21   (g)                -62   291   291   529     0   189   156      0.231     -0.064     -0.117      0.267      0.000
   408        21   (g)                -62   262   262   507     0   179   168     -0.326     -0.534     -6.275      6.306      0.000
   409        21   (g)                -62   275   275   515     0   181   105     -0.083      0.055      0.378      0.391      0.000
   410        21   (g)                -62   271   271   513     0   130   182      1.397     -0.727      2.964      3.356      0.000
   411        21   (g)                -62   274   274   515     0   183   181     -0.086      0.200      0.121      0.249      0.000
   412        21   (g)                -62   338   338   534     0   203   214      0.040     -0.274     -1.914      1.934      0.000
   413        21   (g)                -62   292   292   536     0   177   112     -0.703      0.411      0.805      1.145      0.000
   414        21   (g)                -62   301   301   533     0   164   108     -0.293      0.387     -3.526      3.560      0.000
   415        21   (g)                -62   310   310   646   646   195   159     -1.098      2.025      4.122      4.722      0.000
   416        21   (g)                -62   325   325   518     0   200   196     -0.010     -0.051     -0.020      0.056      0.000
   417        21   (g)                -62   331   331   594   594   202   167      0.665      0.024      1.136      1.316      0.000
   418        21   (g)                -62   334   334   531     0   104   203      0.175      0.612     -3.591      3.647      0.000
   419        21   (g)                -62   337   337   633   633   188   204     -0.189     -0.305    -11.023     11.029      0.000
   420        21   (g)                -62   346   346   517     0   102   152     -0.139      0.318      0.283      0.448      0.000
   421        21   (g)                -62   376   376   510     0   218   146     -1.223     -1.087    -10.692     10.816      0.000
   422        21   (g)                -61     1     0   158   158   109   109     -0.721      1.094      3.198      3.456      0.000
   423        21   (g)                -61     2     0   230   230   107   107      0.268     -1.094   -376.491    376.493      0.000
   424        21   (g)                -62   342   342   540   540   170   193      2.328     -2.800   -143.646    143.692      0.000
   425        21   (g)                -62   161   161   642   642   108   187     -1.287      1.524     -7.920      8.167      0.000
   426        21   (g)                -62   249   249   599   599   110   102     -2.578      2.948      0.408      3.938      0.000
   427        21   (g)                -62   227   227   506     0   106   218     -1.447     -1.268    -36.286     36.337      0.000
   428        21   (g)                -62   257   257   639   639   125   151      1.103      1.794     -1.773      2.753      0.000
   429        21   (g)                -62   305   305   508     0   138   149      0.094     -0.041     -0.606      0.615      0.000
   430        -1   (dbar)             -62   255   255   601   601     0   162      0.403     -0.132     -2.629      2.683      0.330
   431        21   (g)                -62   167   167   531     0   148   104      0.107      0.695     -3.057      3.137      0.000
   432        21   (g)                -62   368   368   507     0   168   153     -0.504     -0.737    -10.102     10.141      0.000
   433        21   (g)                -62   366   366   512     0   157   103     -0.868     -0.199    -23.723     23.740      0.000
   434        21   (g)                -62   320   320   503     0   169   122      0.305      0.056     -8.221      8.227      0.000
   435        21   (g)                -62   303   303   503     0   193   169      1.285     -0.239    -36.190     36.213      0.000
   436        21   (g)                -62   250   250   528     0   176   171      0.100      0.914     -0.338      0.979      0.000
   437         1   (d)                -62   256   256   551   551   147     0     -0.443      0.461     -4.603      4.659      0.330
   438        21   (g)                -62   304   304   505     0   120   206      0.291     -0.726    -19.763     19.778      0.000
   439        21   (g)                -62   344   344   504     0   198   170      0.451     -0.776    -31.296     31.309      0.000
   440        21   (g)                -62   343   343   504     0   206   198      0.259     -0.991    -36.654     36.668      0.000
   441        21   (g)                -62   367   367   534     0   214   188     -0.051     -0.482     -6.895      6.912      0.000
   442        21   (g)                -61     1     0   176   176   131   113      1.015     -2.635     25.858     26.012      0.000
   443         3   (s)                -61     2     0   287   287   113     0      0.160     -1.954     -8.704      8.922      0.000
   444        21   (g)                -62   294   294   641   641   187   192      0.054      1.920     -3.360      3.870      0.000
   445         3   (s)                -62   185   185   587   587   131     0     -1.998     -3.577      3.270      5.266      0.500
   446        21   (g)                -62   266   266   597   597   119   207      3.026     -0.987     12.295     12.700      0.000
   447        21   (g)                -62   363   363   535     0   213   163     -0.553     -0.509      0.411      0.857      0.000
   448        21   (g)                -62   210   210   537     0   163   154     -0.992     -0.084     -0.228      1.022      0.000
   449        21   (g)                -62   365   365   514     0   180   145      1.367     -1.149      4.096      4.468      0.000
   450        21   (g)                -62   312   312   518     0   196   165     -0.114     -1.985      2.130      2.914      0.000
   451        21   (g)                -62   296   296   528     0   151   176      0.077      0.594     -0.268      0.657      0.000
   452        21   (g)                -62   265   265   517     0   152   119      0.203      0.226      0.541      0.620      0.000
   453        21   (g)                -62   286   286   532     0   111   125      0.085      1.282     -1.310      1.835      0.000
   454        21   (g)                -62   295   295   530     0   190   148     -0.092     -0.117     -0.207      0.255      0.000
   455        21   (g)                -62   313   313   530     0   154   190     -0.125     -0.071     -0.106      0.179      0.000
   456        21   (g)                -62   364   364   529     0   112   189      0.238     -0.132     -0.108      0.293      0.000
   457        21   (g)                -61     1     0   362   362   127   101      1.562      1.489    475.296    475.301      0.000
   458        21   (g)                -61     2     0   139   139   135   113      1.562     -1.051   -109.694    109.711      0.000
   459        21   (g)                -62   188   188   526     0   139   141     -0.275     -0.062     -0.744      0.796      0.000
   460        21   (g)                -62   372   372   655   655   217   209      0.785      0.419     10.957     10.993      0.000
   461        21   (g)                -62   356   356   652   652   115   118      3.443      2.597    184.282    184.332      0.000
   462        21   (g)                -62   197   197   522     0   142   166      0.758      0.203     -8.033      8.071      0.000
   463        21   (g)                -62   339   339   576   576   135   205     -0.395     -0.753    -13.721     13.747      0.000
   464        21   (g)                -62   360   360   526     0   212   139     -0.145     -0.253     -3.849      3.860      0.000
   465        21   (g)                -62   186   186   721   721   155   208     -0.686     -0.183    -21.231     21.243      0.000
   466        21   (g)                -62   321   321   719   719   117   150      0.219     -0.795     -5.693      5.752      0.000
   467        21   (g)                -62   201   201   650   650   160   101     -0.434      0.742    137.006    137.008      0.000
   468        21   (g)                -62   187   187   722   722   141   155     -2.566     -0.220    -21.510     21.664      0.000
   469        21   (g)                -62   297   297   716   716   191   129     -0.059     -0.335     -1.478      1.517      0.000
   470        21   (g)                -62   202   202   651   651   118   160      1.282      1.488    116.685    116.701      0.000
   471        21   (g)                -62   374   374   658   658   184   175     -0.652      0.298      0.684      0.991      0.000
   472        21   (g)                -62   329   329   659   659   116   184      0.192     -0.084      1.010      1.031      0.000
   473        21   (g)                -62   323   323   717   717   158   191      0.545     -0.179     -7.618      7.639      0.000
   474        21   (g)                -62   341   341   519     0   197   126      0.205     -0.200     -1.687      1.711      0.000
   475        21   (g)                -62   322   322   520     0   199   158      0.058     -0.131     -9.233      9.235      0.000
   476        21   (g)                -62   328   328   660   660   201   116     -0.370     -0.356     -0.830      0.976      0.000
   477        21   (g)                -62   340   340   519     0   205   197      0.454     -0.426     -9.031      9.052      0.000
   478        21   (g)                -62   354   354   654   654   209   210     -0.075     -0.192      0.589      0.624      0.000
   479        21   (g)                -62   355   355   653   653   210   115      0.672      0.154     16.976     16.990      0.000
   480        21   (g)                -62   361   361   525     0   114   212      0.199     -1.122     -4.430      4.574      0.000
   481        21   (g)                -62   373   373   657   657   175   211     -0.030     -0.174      6.502      6.504      0.000
   482        21   (g)                -61     1     0    88    88   128   128      1.917     -0.281     46.587     46.627      0.000
   483        21   (g)                -61     2     0   359   359   133   133      0.238      0.844   -207.987    207.989      0.000
   484         2   (u)                -62   103   103   574   574   126     0     -1.297      0.063     -6.898      7.026      0.330
   485        21   (g)                -62   348   348   527     0   208   186     -0.646     -0.342    -53.596     53.601      0.000
   486        21   (g)                -62   357   357   656   656   211   217      1.908      1.464     46.030     46.093      0.000
   487        -2   (ubar)             -62   308   308   661   661     0   201      1.239     -0.101     -2.345      2.674      0.330
   488        21   (g)                -62   260   260   524     0   150   140      0.007     -0.141    -21.822     21.822      0.000
   489        21   (g)                -62   279   279   522     0   185   142      0.517      0.121     -3.948      3.984      0.000
   490        21   (g)                -62   350   350   527     0   186   117     -0.442      0.212    -26.036     26.041      0.000
   491        21   (g)                -62   284   284   523     0   166   178     -0.097      0.242     -5.721      5.727      0.000
   492        21   (g)                -62   369   369   525     0   216   114     -0.120     -0.737     -2.263      2.384      0.000
   493        21   (g)                -62   283   283   523     0   178   113      0.029      0.874    -23.759     23.775      0.000
   494        21   (g)                -62   371   371   521     0   129   194      0.235     -0.105     -1.039      1.070      0.000
   495        21   (g)                -62   349   349   520     0   140   199      0.076     -0.891    -58.738     58.744      0.000
   496        21   (g)                -62   358   358   725   725   127   216      0.364     -0.109     -0.031      0.381      0.000
   497        21   (g)                -62   370   370   521     0   194   185      0.381      0.014     -1.236      1.293      0.000
   498         2   (u)                -63     1     0   712   712   113     0      0.850     -1.095    855.435    855.436      0.330
   499      2101   (ud_0)             -63     1     0   726   726     0   127     -1.152     -0.511   2482.178   2482.179      0.579
   500         2   (u)                -63     2     0   630   630   143     0      0.051      1.201   -471.684    471.685      0.330
   501      2101   (ud_0)             -63     2     0   577   577     0   135     -0.006      0.924  -1966.681   1966.681      0.579
   502        -3   (sbar)             -63     2     0   542   542     0   120     -0.134      1.074   -309.087    309.089      0.500
   503        21   (g)                -73   434   435   539   539   193   122      1.589     -0.183    -44.411     44.441      0.233
   504        21   (g)                -73   439   440   505     0   206   170      0.710     -1.768    -67.950     67.977      0.261
   505        21   (g)                -73   438   504   541   541   120   170      1.001     -2.494    -87.713     87.755      0.517
   506        21   (g)                -73   393   427   558   558   103   218     -1.758     -1.520    -44.617     44.677      0.092
   507        21   (g)                -73   408   432   556   556   179   153     -0.830     -1.272    -16.377     16.448      0.098
   508        21   (g)                -73   394   429   511     0   138   161      0.445     -0.325     -5.363      5.393      0.137
   509        21   (g)                -73   381   389   555   555   153   172     -5.802     -5.071    -37.990     38.764      0.175
   510        21   (g)                -73   395   421   557   557   218   179     -4.176     -3.951    -34.633     35.109      0.316
   511        21   (g)                -73   399   508   552   552   138   147      0.813     -0.249    -11.780     11.821      0.494
   512        -4   (cbar)             -73   384   433   559   559     0   103     -3.181      0.971   -100.516    100.592      2.009
   513        21   (g)                -73   392   410   593   593   167   182      2.465     -1.476      5.284      6.018      0.201
   514        21   (g)                -73   382   449   596   596   207   145      1.847     -1.446      5.693      6.162      0.245
   515        21   (g)                -73   409   411   589   589   183   105     -0.169      0.255      0.499      0.640      0.259
   516        21   (g)                -73   387   401   590   590   165   183      2.230     -1.374      5.334      5.950      0.295
   517        21   (g)                -73   420   452   598   598   102   119      0.064      0.544      0.824      1.068      0.403
   518        21   (g)                -73   416   450   591   591   200   165     -0.124     -2.037      2.110      2.970      0.453
   519        21   (g)                -73   474   477   575   575   205   126      0.658     -0.625    -10.718     10.763      0.390
   520        21   (g)                -73   475   495   524     0   140   158      0.134     -1.022    -67.971     67.979      0.119
   521        21   (g)                -73   494   497   715   715   129   185      0.616     -0.090     -2.275      2.364      0.156
   522        21   (g)                -73   462   489   714   714   185   166      1.275      0.323    -11.981     12.055      0.208
   523        21   (g)                -73   491   493   713   713   166   113     -0.067      1.117    -29.480     29.502      0.221
   524        21   (g)                -73   488   520   718   718   150   158      0.141     -1.163    -89.793     89.801      0.364
   525        21   (g)                -73   480   492   724   724   216   212      0.079     -1.860     -6.694      6.958      0.380
   526        21   (g)                -73   459   464   723   723   212   141     -0.420     -0.315     -4.594      4.656      0.550
   527        21   (g)                -73   485   490   720   720   208   117     -1.088     -0.130    -79.632     79.642      0.573
   528        21   (g)                -73   436   451   638   638   151   171      0.176      1.508     -0.606      1.636      0.057
   529        21   (g)                -73   407   456   644   644   112   156      0.469     -0.195     -0.225      0.559      0.064
   530        21   (g)                -73   454   455   537     0   154   148     -0.217     -0.188     -0.313      0.434      0.087
   531        21   (g)                -73   418   431   635   635   148   203      0.282      1.307     -6.649      6.785      0.191
   532        21   (g)                -73   403   453   640   640   192   125      0.221      1.768     -1.957      2.656      0.216
   533        21   (g)                -73   396   414   643   643   156   108     -0.228      0.438     -4.077      4.116      0.283
   534        21   (g)                -73   412   441   634   634   203   188     -0.010     -0.756     -8.810      8.847      0.285
   535        21   (g)                -73   400   447   637   637   171   163     -0.583     -0.548      0.607      1.058      0.335
   536        21   (g)                -73   397   413   645   645   159   112     -1.234      1.179      1.633      2.393      0.384
   537        21   (g)                -73   448   530   636   636   163   148     -1.209     -0.272     -0.541      1.455      0.537
   538         4   (c)                -71   386   386   543   550   122     0     -0.459     -0.706     -8.458      8.631      1.500
   539        21   (g)                -71   503   503   543   550   193   122      1.589     -0.183    -44.411     44.441      0.233
   540        21   (g)                -71   424   424   543   550   170   193      2.328     -2.800   -143.646    143.692      0.000
   541        21   (g)                -71   505   505   543   550   120   170      1.001     -2.494    -87.713     87.755      0.517
   542        -3   (sbar)             -71   502   502   543   550     0   120     -0.134      1.074   -309.087    309.089      0.500
   543      4214   (Sigma*_c+)        -83   538   542   877   878     0     0      0.156     -0.368    -26.411     26.537      2.546
   544       113   (rho0)             -83   538   542   768   769     0     0     -0.202     -0.576     -9.379      9.435      0.817
   545     -2212   pbar-               83   538   542     0     0     0     0      1.603     -1.623    -81.957     81.994      0.938
   546       111   (pi0)              -83   538   542   879   880     0     0      1.524     -0.413    -45.607     45.635      0.135
   547       111   (pi0)              -84   538   542   881   882     0     0     -0.096      0.023    -40.604     40.604      0.135
   548      2212   p+                  84   538   542     0     0     0     0      1.772     -2.422   -116.413    116.456      0.938
   549     -2112   nbar0               84   538   542     0     0     0     0     -0.439     -0.203   -157.170    157.173      0.940
   550       311   (K0)               -84   538   542   770   770     0     0      0.008      0.472   -115.772    115.774      0.498
   551         1   (d)                -71   437   437   560   573   147     0     -0.443      0.461     -4.603      4.659      0.330
   552        21   (g)                -71   511   511   560   573   138   147      0.813     -0.249    -11.780     11.821      0.494
   553        21   (g)                -71   385   385   560   573   132   138     -1.025     -0.846    -12.976     13.044      0.000
   554        21   (g)                -71   404   404   560   573   172   132     -3.205     -2.111    -27.718     27.983      0.000
   555        21   (g)                -71   509   509   560   573   153   172     -5.802     -5.071    -37.990     38.764      0.175
   556        21   (g)                -71   507   507   560   573   179   153     -0.830     -1.272    -16.377     16.448      0.098
   557        21   (g)                -71   510   510   560   573   218   179     -4.176     -3.951    -34.633     35.109      0.316
   558        21   (g)                -71   506   506   560   573   103   218     -1.758     -1.520    -44.617     44.677      0.092
   559        -4   (cbar)             -71   512   512   560   573     0   103     -3.181      0.971   -100.516    100.592      2.009
   560      2112   n0                  83   551   559     0     0     0     0      0.192      0.063    -11.090     11.131      0.940
   561     -2112   nbar0               83   551   559     0     0     0     0     -0.753     -0.134     -7.168      7.269      0.940
   562      -211   pi-                 83   551   559     0     0     0     0     -1.089     -1.150    -13.974     14.064      0.140
   563       213   (rho+)             -83   551   559   771   772     0     0     -0.238     -0.312     -5.348      5.412      0.731
   564      -213   (rho-)             -84   551   559   773   774     0     0     -2.751     -3.050    -22.380     22.772      0.910
   565       113   (rho0)             -84   551   559   775   776     0     0     -3.589     -2.109    -30.167     30.466      0.889
   566       211   pi+                 84   551   559     0     0     0     0     -2.947     -2.852    -23.786     24.137      0.140
   567       111   (pi0)              -84   551   559   883   884     0     0     -0.257     -0.389     -2.227      2.279      0.135
   568       313   (K*0)              -84   551   559   777   778     0     0     -1.427     -2.053    -20.669     20.840      0.936
   569      -313   (K*bar0)           -84   551   559   779   780     0     0     -1.887     -0.651    -19.945     20.066      0.917
   570       313   (K*0)              -84   551   559   781   782     0     0     -0.482     -0.498    -10.164     10.231      0.940
   571      -313   (K*bar0)           -84   551   559   783   784     0     0     -0.619     -0.270    -16.514     16.553      0.922
   572       111   (pi0)              -84   551   559   885   886     0     0     -1.078     -0.214    -21.014     21.043      0.135
   573      -413   (D*-)              -84   551   559   887   888     0     0     -2.682      0.034    -86.766     86.831      2.010
   574         2   (u)                -71   484   484   578   586   126     0     -1.297      0.063     -6.898      7.026      0.330
   575        21   (g)                -71   519   519   578   586   205   126      0.658     -0.625    -10.718     10.763      0.390
   576        21   (g)                -71   463   463   578   586   135   205     -0.395     -0.753    -13.721     13.747      0.000
   577      2101   (ud_0)             -71   501   501   578   586     0   135     -0.006      0.924  -1966.681   1966.681      0.579
   578       211   pi+                 83   574   577     0     0     0     0     -0.629     -0.232     -5.184      5.229      0.140
   579      -213   (rho-)             -83   574   577   785   786     0     0      0.329      0.052     -8.759      8.796      0.737
   580       111   (pi0)              -83   574   577   889   890     0     0     -0.355     -0.568     -2.553      2.642      0.135
   581       223   (omega)            -84   574   577   891   893     0     0     -0.499     -0.460    -21.344     21.369      0.779
   582       111   (pi0)              -84   574   577   894   895     0     0      0.034      0.389   -134.120    134.121      0.135
   583       111   (pi0)              -84   574   577   896   897     0     0      0.095     -0.070    -66.726     66.726      0.135
   584       211   pi+                 84   574   577     0     0     0     0     -0.036     -0.069    -74.228     74.228      0.140
   585      2114   (Delta0)           -84   574   577   787   788     0     0     -0.446      0.228   -328.746    328.748      1.201
   586       223   (omega)            -84   574   577   898   899     0     0      0.467      0.339  -1356.358   1356.358      0.780
   587         3   (s)                -71   445   445   602   629   131     0     -1.998     -3.577      3.270      5.266      0.500
   588        21   (g)                -71   388   388   602   629   105   131      1.088      0.255     15.870     15.910      0.000
   589        21   (g)                -71   515   515   602   629   183   105     -0.169      0.255      0.499      0.640      0.259
   590        21   (g)                -71   516   516   602   629   165   183      2.230     -1.374      5.334      5.950      0.295
   591        21   (g)                -71   518   518   602   629   200   165     -0.124     -2.037      2.110      2.970      0.453
   592        21   (g)                -71   390   390   602   629   182   200      1.676      0.005      5.083      5.352      0.000
   593        21   (g)                -71   513   513   602   629   167   182      2.465     -1.476      5.284      6.018      0.201
   594        21   (g)                -71   417   417   602   629   202   167      0.665      0.024      1.136      1.316      0.000
   595        21   (g)                -71   402   402   602   629   145   202      5.115     -2.355      9.991     11.469      0.000
   596        21   (g)                -71   514   514   602   629   207   145      1.847     -1.446      5.693      6.162      0.245
   597        21   (g)                -71   446   446   602   629   119   207      3.026     -0.987     12.295     12.700      0.000
   598        21   (g)                -71   517   517   602   629   102   119      0.064      0.544      0.824      1.068      0.403
   599        21   (g)                -71   426   426   602   629   110   102     -2.578      2.948      0.408      3.938      0.000
   600        21   (g)                -71   398   398   602   629   162   110     -0.228      0.205     -0.260      0.402      0.000
   601        -1   (dbar)             -71   430   430   602   629     0   162      0.403     -0.132     -2.629      2.683      0.330
   602      -313   (K*bar0)           -83   587   601   789   790     0     0     -1.687     -2.382      2.951      4.244      0.885
   603      -213   (rho-)             -83   587   601   791   792     0     0      0.248     -0.637      2.048      2.384      1.010
   604       223   (omega)            -83   587   601   900   902     0     0     -0.463     -0.505      1.785      2.066      0.782
   605       213   (rho+)             -83   587   601   793   794     0     0      0.514      0.424      5.209      5.307      0.762
   606       113   (rho0)             -83   587   601   795   796     0     0      1.297     -0.471      6.127      6.381      1.131
   607       111   (pi0)              -83   587   601   903   904     0     0     -0.009     -0.086      0.735      0.752      0.135
   608       111   (pi0)              -83   587   601   905   906     0     0     -0.013     -0.145      1.197      1.213      0.135
   609       221   (eta)              -83   587   601   907   908     0     0      0.101     -0.154      1.373      1.490      0.548
   610       223   (omega)            -83   587   601   909   911     0     0     -0.235     -0.362      1.425      1.682      0.782
   611      -213   (rho-)             -83   587   601   797   798     0     0      0.692     -0.824      1.941      2.340      0.740
   612       113   (rho0)             -83   587   601   799   800     0     0      1.275     -1.420      4.728      5.155      0.760
   613       321   K+                  83   587   601     0     0     0     0      0.416     -0.282      1.233      1.420      0.494
   614      -321   K-                  83   587   601     0     0     0     0      1.373     -0.360      2.041      2.534      0.494
   615       213   (rho+)             -83   587   601   801   802     0     0      2.201     -1.176      4.068      4.844      0.828
   616       221   (eta)              -83   587   601   912   913     0     0      0.921     -0.483      4.093      4.258      0.548
   617      -211   pi-                 83   587   601     0     0     0     0      0.872     -0.136      2.597      2.747      0.140
   618      2214   (Delta+)           -83   587   601   803   804     0     0      3.461     -1.088      9.285     10.072      1.442
   619     -2214   (Deltabar-)        -83   587   601   805   806     0     0      3.841     -1.911     10.048     10.995      1.236
   620       211   pi+                 84   587   601     0     0     0     0     -0.235     -0.017      0.278      0.390      0.140
   621      -211   pi-                 84   587   601     0     0     0     0      0.639     -0.123      1.992      2.100      0.140
   622       113   (rho0)             -84   587   601   807   808     0     0     -0.814      0.813      0.416      1.457      0.791
   623       211   pi+                 84   587   601     0     0     0     0      0.549      0.356      0.780      1.028      0.140
   624       111   (pi0)              -84   587   601   914   915     0     0     -0.114     -0.345     -0.059      0.392      0.135
   625      1114   (Delta-)           -84   587   601   809   810     0     0     -0.134      0.228      0.715      1.450      1.234
   626     -3112   (Sigmabar+)        -84   587   601   916   917     0     0     -1.454      0.937     -0.093      2.106      1.197
   627      -311   (Kbar0)            -84   587   601   811   811     0     0      0.111      0.962     -0.203      1.108      0.498
   628       111   (pi0)              -84   587   601   918   919     0     0      0.138      0.313     -0.883      0.956      0.135
   629       111   (pi0)              -84   587   601   920   921     0     0     -0.014     -0.277     -0.921      0.971      0.135
   630         2   (u)                -71   500   500   662   711   143     0      0.051      1.201   -471.684    471.685      0.330
   631        21   (g)                -71   391   391   662   711   174   143     -0.870      1.096   -155.527    155.533      0.000
   632        21   (g)                -71   406   406   662   711   204   174     -1.063     -0.167   -143.049    143.053      0.000
   633        21   (g)                -71   419   419   662   711   188   204     -0.189     -0.305    -11.023     11.029      0.000
   634        21   (g)                -71   534   534   662   711   203   188     -0.010     -0.756     -8.810      8.847      0.285
   635        21   (g)                -71   531   531   662   711   148   203      0.282      1.307     -6.649      6.785      0.191
   636        21   (g)                -71   537   537   662   711   163   148     -1.209     -0.272     -0.541      1.455      0.537
   637        21   (g)                -71   535   535   662   711   171   163     -0.583     -0.548      0.607      1.058      0.335
   638        21   (g)                -71   528   528   662   711   151   171      0.176      1.508     -0.606      1.636      0.057
   639        21   (g)                -71   428   428   662   711   125   151      1.103      1.794     -1.773      2.753      0.000
   640        21   (g)                -71   532   532   662   711   192   125      0.221      1.768     -1.957      2.656      0.216
   641        21   (g)                -71   444   444   662   711   187   192      0.054      1.920     -3.360      3.870      0.000
   642        21   (g)                -71   425   425   662   711   108   187     -1.287      1.524     -7.920      8.167      0.000
   643        21   (g)                -71   533   533   662   711   156   108     -0.228      0.438     -4.077      4.116      0.283
   644        21   (g)                -71   529   529   662   711   112   156      0.469     -0.195     -0.225      0.559      0.064
   645        21   (g)                -71   536   536   662   711   159   112     -1.234      1.179      1.633      2.393      0.384
   646        21   (g)                -71   415   415   662   711   195   159     -1.098      2.025      4.122      4.722      0.000
   647        21   (g)                -71   383   383   662   711   121   195     -0.085      1.363      3.574      3.826      0.000
   648        21   (g)                -71   380   380   662   711   173   121      2.792     11.944     48.040     49.582      0.000
   649        21   (g)                -71   405   405   662   711   101   173     -0.460      0.701      3.709      3.803      0.000
   650        21   (g)                -71   467   467   662   711   160   101     -0.434      0.742    137.006    137.008      0.000
   651        21   (g)                -71   470   470   662   711   118   160      1.282      1.488    116.685    116.701      0.000
   652        21   (g)                -71   461   461   662   711   115   118      3.443      2.597    184.282    184.332      0.000
   653        21   (g)                -71   479   479   662   711   210   115      0.672      0.154     16.976     16.990      0.000
   654        21   (g)                -71   478   478   662   711   209   210     -0.075     -0.192      0.589      0.624      0.000
   655        21   (g)                -71   460   460   662   711   217   209      0.785      0.419     10.957     10.993      0.000
   656        21   (g)                -71   486   486   662   711   211   217      1.908      1.464     46.030     46.093      0.000
   657        21   (g)                -71   481   481   662   711   175   211     -0.030     -0.174      6.502      6.504      0.000
   658        21   (g)                -71   471   471   662   711   184   175     -0.652      0.298      0.684      0.991      0.000
   659        21   (g)                -71   472   472   662   711   116   184      0.192     -0.084      1.010      1.031      0.000
   660        21   (g)                -71   476   476   662   711   201   116     -0.370     -0.356     -0.830      0.976      0.000
   661        -2   (ubar)             -71   487   487   662   711     0   201      1.239     -0.101     -2.345      2.674      0.330
   662       213   (rho+)             -83   630   661   812   813     0     0     -0.604      1.104   -287.545    287.549      0.727
   663      3112   (Sigma-)           -83   630   661   922   923     0     0     -0.531      0.546   -343.137    343.140      1.197
   664     -3112   (Sigmabar+)        -83   630   661   924   925     0     0     -0.067     -0.100    -70.377     70.388      1.197
   665       221   (eta)              -83   630   661   926   927     0     0     -0.730      0.415    -48.718     48.729      0.548
   666      -213   (rho-)             -83   630   661   814   815     0     0     -0.202     -0.630    -33.442     33.465      1.042
   667       221   (eta)              -83   630   661   928   929     0     0     -0.054      0.055     -8.070      8.089      0.548
   668       113   (rho0)             -83   630   661   816   817     0     0      0.102      0.310     -2.022      2.184      0.758
   669       211   pi+                 83   630   661     0     0     0     0     -0.038     -0.381     -1.103      1.176      0.140
   670      -213   (rho-)             -83   630   661   818   819     0     0     -0.727      0.524     -0.144      1.180      0.753
   671       211   pi+                 83   630   661     0     0     0     0      0.319     -0.413     -0.382      0.661      0.140
   672      -211   pi-                 83   630   661     0     0     0     0     -0.506      1.443     -2.592      3.012      0.140
   673       113   (rho0)             -83   630   661   820   821     0     0     -0.165      0.036     -0.627      1.381      1.219
   674      3122   (Lambda0)          -83   630   661   930   931     0     0      0.574      0.669     -0.571      1.532      1.116
   675     -3112   (Sigmabar+)        -83   630   661   932   933     0     0     -0.652      2.446     -2.790      3.953      1.197
   676      -211   pi-                 83   630   661     0     0     0     0      0.012      0.611     -1.365      1.502      0.140
   677       111   (pi0)              -83   630   661   934   935     0     0      0.538     -0.107     -1.083      1.222      0.135
   678       213   (rho+)             -83   630   661   822   823     0     0     -0.047      2.335     -3.086      3.943      0.756
   679      -211   pi-                 83   630   661     0     0     0     0      0.046      0.658     -3.517      3.582      0.140
   680       213   (rho+)             -83   630   661   824   825     0     0     -0.598      0.643     -2.942      3.164      0.764
   681       111   (pi0)              -83   630   661   936   937     0     0      0.217      0.110     -2.333      2.349      0.135
   682      -211   pi-                 83   630   661     0     0     0     0     -0.454      0.046     -0.289      0.558      0.140
   683       211   pi+                 83   630   661     0     0     0     0      0.362      0.342      0.049      0.520      0.140
   684      -213   (rho-)             -83   630   661   826   827     0     0     -0.570      0.052      0.192      0.971      0.760
   685       211   pi+                 83   630   661     0     0     0     0     -0.471      3.395      8.706      9.357      0.140
   686       311   (K0)               -83   630   661   828   828     0     0      0.399      0.348      2.540      2.642      0.498
   687      -311   (Kbar0)            -83   630   661   829   829     0     0     -0.812      0.804      2.189      2.519      0.498
   688      -213   (rho-)             -83   630   661   830   831     0     0      0.084      2.286      6.831      7.257      0.870
   689       211   pi+                 83   630   661     0     0     0     0     -0.110      1.489      2.937      3.297      0.140
   690      -211   pi-                 84   630   661     0     0     0     0      0.650      2.926     14.218     14.531      0.140
   691       213   (rho+)             -84   630   661   832   833     0     0      0.908      3.887     16.877     17.374      1.039
   692      2112   n0                  84   630   661     0     0     0     0      0.031      1.028      5.956      6.116      0.940
   693     -2212   pbar-               84   630   661     0     0     0     0     -0.417      0.557     19.428     19.463      0.938
   694       213   (rho+)             -84   630   661   834   835     0     0      0.165      0.666     74.525     74.532      0.714
   695       113   (rho0)             -84   630   661   836   837     0     0      0.984      0.869     61.234     61.258      1.102
   696       223   (omega)            -84   630   661   938   939     0     0      1.429      0.538     60.782     60.806      0.782
   697      -213   (rho-)             -84   630   661   838   839     0     0      0.099      0.883     53.388     53.399      0.685
   698       111   (pi0)              -84   630   661   940   941     0     0     -0.082     -0.283     20.048     20.051      0.135
   699       111   (pi0)              -84   630   661   942   943     0     0      1.254      0.517     52.119     52.137      0.135
   700       321   K+                  84   630   661     0     0     0     0     -0.016      0.361     46.163     46.167      0.494
   701      -321   K-                  84   630   661     0     0     0     0      0.876      1.123     39.931     39.959      0.494
   702      2212   p+                  84   630   661     0     0     0     0      1.139      0.841     41.091     41.126      0.938
   703     -2212   pbar-               84   630   661     0     0     0     0      0.626      0.297     17.498     17.537      0.938
   704       211   pi+                 84   630   661     0     0     0     0      0.334      0.289      8.848      8.860      0.140
   705       111   (pi0)              -84   630   661   944   945     0     0      0.680      0.073     12.800     12.819      0.135
   706       221   (eta)              -84   630   661   946   948     0     0      0.022      0.868      3.936      4.067      0.548
   707       113   (rho0)             -84   630   661   840   841     0     0      0.036     -0.499      7.786      7.851      0.868
   708       223   (omega)            -84   630   661   949   951     0     0     -0.199     -0.057      0.870      1.188      0.782
   709      -211   pi-                 84   630   661     0     0     0     0     -0.185      0.261     -0.026      0.350      0.140
   710       223   (omega)            -84   630   661   952   954     0     0      1.103     -0.279     -0.844      1.616      0.777
   711       111   (pi0)              -84   630   661   955   956     0     0      0.041     -0.125     -1.908      1.917      0.135
   712         2   (u)                -71   498   498   727   767   113     0      0.850     -1.095    855.435    855.436      0.330
   713        21   (g)                -71   523   523   727   767   166   113     -0.067      1.117    -29.480     29.502      0.221
   714        21   (g)                -71   522   522   727   767   185   166      1.275      0.323    -11.981     12.055      0.208
   715        21   (g)                -71   521   521   727   767   129   185      0.616     -0.090     -2.275      2.364      0.156
   716        21   (g)                -71   469   469   727   767   191   129     -0.059     -0.335     -1.478      1.517      0.000
   717        21   (g)                -71   473   473   727   767   158   191      0.545     -0.179     -7.618      7.639      0.000
   718        21   (g)                -71   524   524   727   767   150   158      0.141     -1.163    -89.793     89.801      0.364
   719        21   (g)                -71   466   466   727   767   117   150      0.219     -0.795     -5.693      5.752      0.000
   720        21   (g)                -71   527   527   727   767   208   117     -1.088     -0.130    -79.632     79.642      0.573
   721        21   (g)                -71   465   465   727   767   155   208     -0.686     -0.183    -21.231     21.243      0.000
   722        21   (g)                -71   468   468   727   767   141   155     -2.566     -0.220    -21.510     21.664      0.000
   723        21   (g)                -71   526   526   727   767   212   141     -0.420     -0.315     -4.594      4.656      0.550
   724        21   (g)                -71   525   525   727   767   216   212      0.079     -1.860     -6.694      6.958      0.380
   725        21   (g)                -71   496   496   727   767   127   216      0.364     -0.109     -0.031      0.381      0.000
   726      2101   (ud_0)             -71   499   499   727   767     0   127     -1.152     -0.511   2482.178   2482.179      0.579
   727       113   (rho0)             -83   712   726   842   843     0     0      0.643     -1.161    509.636    509.639      1.034
   728       221   (eta)              -83   712   726   957   959     0     0     -0.307      0.263    130.278    130.279      0.548
   729       113   (rho0)             -83   712   726   844   845     0     0      0.485     -0.251    140.117    140.122      0.974
   730       211   pi+                 83   712   726     0     0     0     0      0.131      0.225     21.701     21.703      0.140
   731      -213   (rho-)             -83   712   726   846   847     0     0     -0.148      0.084     29.587     29.597      0.727
   732       211   pi+                 83   712   726     0     0     0     0     -0.280     -0.260      3.672      3.695      0.140
   733      -213   (rho-)             -83   712   726   848   849     0     0      0.524      0.232     16.174     16.214      0.978
   734       211   pi+                 83   712   726     0     0     0     0     -0.062     -0.440      1.034      1.134      0.140
   735       223   (omega)            -83   712   726   960   962     0     0     -0.147      0.286      1.734      1.930      0.783
   736       311   (K0)               -83   712   726   850   850     0     0     -0.224      0.065      0.190      0.581      0.498
   737      -321   K-                  83   712   726     0     0     0     0      0.185      0.221      0.096      0.579      0.494
   738       211   pi+                 83   712   726     0     0     0     0      0.289     -0.295     -0.985      1.077      0.140
   739       223   (omega)            -83   712   726   963   965     0     0     -0.485     -0.173     -0.833      1.250      0.777
   740      -211   pi-                 83   712   726     0     0     0     0      0.226      0.225     -0.834      0.904      0.140
   741       111   (pi0)              -83   712   726   966   967     0     0      0.028     -0.352      0.062      0.384      0.135
   742       213   (rho+)             -83   712   726   851   852     0     0     -0.510      0.577     -5.484      5.585      0.728
   743       111   (pi0)              -83   712   726   968   969     0     0      1.117      0.377    -11.392     11.453      0.135
   744      2214   (Delta+)           -83   712   726   853   854     0     0      0.639      0.044     -7.995      8.122      1.276
   745      -321   K-                  83   712   726     0     0     0     0     -0.026      0.096    -17.985     17.992      0.494
   746     -3222   (Sigmabar-)        -83   712   726   970   971     0     0      1.066      0.124    -16.838     16.914      1.189
   747       113   (rho0)             -83   712   726   855   856     0     0     -0.233     -0.601    -30.063     30.081      0.823
   748       211   pi+                 83   712   726     0     0     0     0      0.898     -0.570    -18.658     18.689      0.140
   749      -211   pi-                 84   712   726     0     0     0     0     -0.687      0.176    -27.823     27.832      0.140
   750       211   pi+                 84   712   726     0     0     0     0     -0.219     -1.021    -30.230     30.249      0.140
   751      -213   (rho-)             -84   712   726   857   858     0     0     -0.871     -0.063    -29.743     29.770      0.944
   752       323   (K*+)              -84   712   726   859   860     0     0      0.076     -0.326    -14.096     14.128      0.889
   753      -321   K-                  84   712   726     0     0     0     0     -1.391      0.287    -30.307     30.344      0.494
   754       113   (rho0)             -84   712   726   861   862     0     0     -0.250     -0.577    -13.898     13.939      0.862
   755       211   pi+                 84   712   726     0     0     0     0     -0.172     -0.501     -1.132      1.258      0.140
   756       311   (K0)               -84   712   726   863   863     0     0      0.086     -0.697     -9.779      9.817      0.498
   757      -311   (Kbar0)            -84   712   726   864   864     0     0     -1.042      0.321     -6.027      6.145      0.498
   758       311   (K0)               -84   712   726   865   865     0     0     -0.291     -0.867     -4.010      4.143      0.498
   759       331   (eta')             -84   712   726   972   974     0     0     -0.322     -0.191     -2.101      2.340      0.958
   760      -313   (K*bar0)           -84   712   726   866   867     0     0      0.292     -0.097      0.672      1.166      0.902
   761      -211   pi-                 84   712   726     0     0     0     0     -0.329     -0.023      0.255      0.439      0.140
   762       331   (eta')             -84   712   726   975   976     0     0      0.330     -0.070      3.030      3.195      0.958
   763       113   (rho0)             -84   712   726   868   869     0     0      0.097     -0.022      0.573      1.078      0.907
   764       113   (rho0)             -84   712   726   870   871     0     0      0.005     -0.379     76.031     76.045      1.377
   765       213   (rho+)             -84   712   726   872   873     0     0      0.232      0.092    465.892    465.893      1.100
   766      -213   (rho-)             -84   712   726   874   875     0     0     -1.009     -0.169   1238.195   1238.196      0.591
   767      2212   p+                  84   712   726     0     0     0     0     -0.291     -0.129    696.887    696.887      0.938
   768       211   pi+                 91   544     0     0     0     0     0     -0.083     -0.355     -1.497      1.547      0.140
   769      -211   pi-                 91   544     0     0     0     0     0     -0.119     -0.221     -7.883      7.888      0.140
   770       310   (K_S0)             -91   550   550   977   978     0     0      0.008      0.472   -115.772    115.774      0.498
   771       211   pi+                 91   563     0     0     0     0     0      0.226     -0.202     -2.006      2.034      0.140
   772       111   (pi0)              -91   563     0   979   980     0     0     -0.463     -0.110     -3.342      3.378      0.135
   773      -211   pi-                 91   564     0     0     0     0     0     -2.713     -2.927    -21.801     22.164      0.140
   774       111   (pi0)              -91   564     0   981   982     0     0     -0.039     -0.123     -0.579      0.608      0.135
   775       211   pi+                 91   565     0     0     0     0     0     -3.439     -1.815    -27.067     27.346      0.140
   776      -211   pi-                 91   565     0     0     0     0     0     -0.151     -0.293     -3.100      3.120      0.140
   777       321   K+                  91   568     0     0     0     0     0     -1.290     -1.965    -17.453     17.617      0.494
   778      -211   pi-                 91   568     0     0     0     0     0     -0.136     -0.087     -3.216      3.223      0.140
   779      -321   K-                  91   569     0     0     0     0     0     -0.522     -0.139     -6.814      6.853      0.494
   780       211   pi+                 91   569     0     0     0     0     0     -1.366     -0.513    -13.131     13.213      0.140
   781       321   K+                  91   570     0     0     0     0     0     -0.602     -0.179     -6.726      6.773      0.494
   782      -211   pi-                 91   570     0     0     0     0     0      0.119     -0.320     -3.438      3.458      0.140
   783      -321   K-                  91   571     0     0     0     0     0     -0.087     -0.313     -8.806      8.825      0.494
   784       211   pi+                 91   571     0     0     0     0     0     -0.532      0.043     -7.708      7.728      0.140
   785      -211   pi-                 91   579     0     0     0     0     0      0.130      0.341     -5.854      5.867      0.140
   786       111   (pi0)              -91   579     0   983   984     0     0      0.199     -0.289     -2.904      2.929      0.135
   787      2112   n0                  91   585     0     0     0     0     0     -0.168      0.078   -242.607    242.609      0.940
   788       111   (pi0)              -91   585     0   985   986     0     0     -0.279      0.149    -86.139     86.140      0.135
   789      -321   K-                  91   602     0     0     0     0     0     -0.600     -0.725      0.985      1.449      0.494
   790       211   pi+                 91   602     0     0     0     0     0     -1.087     -1.657      1.966      2.795      0.140
   791      -211   pi-                 91   603     0     0     0     0     0      0.421     -0.500      2.015      2.123      0.140
   792       111   (pi0)              -91   603     0   987   988     0     0     -0.173     -0.137      0.033      0.261      0.135
   793       211   pi+                 91   605     0     0     0     0     0      0.308     -0.082      3.240      3.258      0.140
   794       111   (pi0)              -91   605     0   989   990     0     0      0.206      0.506      1.970      2.049      0.135
   795       211   pi+                 91   606     0     0     0     0     0      1.458     -0.500      5.653      5.861      0.140
   796      -211   pi-                 91   606     0     0     0     0     0     -0.161      0.030      0.474      0.521      0.140
   797      -211   pi-                 91   611     0     0     0     0     0      0.227     -0.332      1.399      1.462      0.140
   798       111   (pi0)              -91   611     0   991   992     0     0      0.465     -0.491      0.543      0.878      0.135
   799       211   pi+                 91   612     0     0     0     0     0      0.873     -1.151      2.700      3.065      0.140
   800      -211   pi-                 91   612     0     0     0     0     0      0.402     -0.269      2.028      2.089      0.140
   801       211   pi+                 91   615     0     0     0     0     0      1.099     -0.979      1.984      2.474      0.140
   802       111   (pi0)              -91   615     0   993   994     0     0      1.102     -0.197      2.085      2.370      0.135
   803      2112   n0                  91   618     0     0     0     0     0      3.256     -0.767      8.614      9.289      0.940
   804       211   pi+                 91   618     0     0     0     0     0      0.205     -0.321      0.671      0.784      0.140
   805     -2212   pbar-               91   619     0     0     0     0     0      2.485     -1.133      6.197      6.837      0.938
   806       111   (pi0)              -91   619     0   995   996     0     0      1.356     -0.778      3.851      4.158      0.135
   807       211   pi+                 91   622     0     0     0     0     0     -0.347      0.371      0.575      0.780      0.140
   808      -211   pi-                 91   622     0     0     0     0     0     -0.467      0.442     -0.159      0.677      0.140
   809      2112   n0                  91   625     0     0     0     0     0      0.090      0.174      0.685      1.179      0.940
   810      -211   pi-                 91   625     0     0     0     0     0     -0.224      0.054      0.030      0.271      0.140
   811       310   (K_S0)             -91   627   627   997   998     0     0      0.111      0.962     -0.203      1.108      0.498
   812       211   pi+                 91   662     0     0     0     0     0     -0.576      0.787   -253.562    253.564      0.140
   813       111   (pi0)              -91   662     0   999  1000     0     0     -0.027      0.317    -33.983     33.985      0.135
   814      -211   pi-                 91   666     0     0     0     0     0     -0.599     -0.263    -16.395     16.409      0.140
   815       111   (pi0)              -91   666     0  1001  1002     0     0      0.397     -0.367    -17.047     17.056      0.135
   816       211   pi+                 91   668     0     0     0     0     0      0.263     -0.120     -1.080      1.127      0.140
   817      -211   pi-                 91   668     0     0     0     0     0     -0.161      0.430     -0.942      1.057      0.140
   818      -211   pi-                 91   670     0     0     0     0     0      0.086      0.255     -0.024      0.304      0.140
   819       111   (pi0)              -91   670     0  1003  1004     0     0     -0.813      0.269     -0.120      0.875      0.135
   820       211   pi+                 91   673     0     0     0     0     0     -0.238     -0.382     -0.777      0.909      0.140
   821      -211   pi-                 91   673     0     0     0     0     0      0.073      0.419      0.150      0.472      0.140
   822       211   pi+                 91   678     0     0     0     0     0     -0.102      2.218     -3.007      3.740      0.140
   823       111   (pi0)              -91   678     0  1005  1006     0     0      0.054      0.117     -0.079      0.203      0.135
   824       211   pi+                 91   680     0     0     0     0     0     -0.111     -0.140     -0.695      0.731      0.140
   825       111   (pi0)              -91   680     0  1007  1008     0     0     -0.487      0.783     -2.247      2.433      0.135
   826      -211   pi-                 91   684     0     0     0     0     0      0.092     -0.092     -0.106      0.218      0.140
   827       111   (pi0)              -91   684     0  1009  1010     0     0     -0.662      0.144      0.299      0.752      0.135
   828       310   (K_S0)             -91   686   686  1011  1012     0     0      0.399      0.348      2.540      2.642      0.498
   829       130   K_L0                91   687   687     0     0     0     0     -0.812      0.804      2.189      2.519      0.498
   830      -211   pi-                 91   688     0     0     0     0     0     -0.249      1.518      5.099      5.327      0.140
   831       111   (pi0)              -91   688     0  1013  1014     0     0      0.333      0.768      1.733      1.929      0.135
   832       211   pi+                 91   691     0     0     0     0     0      0.967      3.450     13.619     14.083      0.140
   833       111   (pi0)              -91   691     0  1015  1016     0     0     -0.060      0.436      3.258      3.290      0.135
   834       211   pi+                 91   694     0     0     0     0     0      0.153      0.225      9.439      9.444      0.140
   835       111   (pi0)              -91   694     0  1017  1018     0     0      0.012      0.442     65.086     65.087      0.135
   836       211   pi+                 91   695     0     0     0     0     0      0.045      0.048      1.087      1.098      0.140
   837      -211   pi-                 91   695     0     0     0     0     0      0.939      0.821     60.147     60.160      0.140
   838      -211   pi-                 91   697     0     0     0     0     0      0.136      0.947     45.174     45.185      0.140
   839       111   (pi0)              -91   697     0  1019  1020     0     0     -0.037     -0.064      8.213      8.215      0.135
   840       211   pi+                 91   707     0     0     0     0     0     -0.131     -0.433      1.843      1.903      0.140
   841      -211   pi-                 91   707     0     0     0     0     0      0.167     -0.066      5.944      5.948      0.140
   842       211   pi+                 91   727     0     0     0     0     0     -0.121      0.006     22.449     22.450      0.140
   843      -211   pi-                 91   727     0     0     0     0     0      0.764     -1.167    487.188    487.190      0.140
   844       211   pi+                 91   729     0     0     0     0     0      0.301     -0.595     99.733     99.735      0.140
   845      -211   pi-                 91   729     0     0     0     0     0      0.184      0.344     40.385     40.387      0.140
   846      -211   pi-                 91   731     0     0     0     0     0     -0.175     -0.276     16.228     16.232      0.140
   847       111   (pi0)              -91   731     0  1021  1022     0     0      0.027      0.359     13.359     13.364      0.135
   848      -211   pi-                 91   733     0     0     0     0     0      0.591      0.254      5.599      5.637      0.140
   849       111   (pi0)              -91   733     0  1023  1024     0     0     -0.067     -0.022     10.575     10.577      0.135
   850       130   K_L0                91   736   736     0     0     0     0     -0.224      0.065      0.190      0.581      0.498
   851       211   pi+                 91   742     0     0     0     0     0      0.037     -0.006     -0.249      0.288      0.140
   852       111   (pi0)              -91   742     0  1025  1026     0     0     -0.548      0.583     -5.235      5.297      0.135
   853      2212   p+                  91   744     0     0     0     0     0      0.317      0.140     -6.789      6.862      0.938
   854       111   (pi0)              -91   744     0  1027  1028     0     0      0.322     -0.096     -1.207      1.260      0.135
   855       211   pi+                 91   747     0     0     0     0     0     -0.366     -0.401    -26.929     26.935      0.140
   856      -211   pi-                 91   747     0     0     0     0     0      0.133     -0.201     -3.134      3.146      0.140
   857      -211   pi-                 91   751     0     0     0     0     0     -0.569     -0.169    -26.872     26.879      0.140
   858       111   (pi0)              -91   751     0  1029  1030     0     0     -0.302      0.105     -2.871      2.892      0.135
   859       311   (K0)               -91   752     0   876   876     0     0     -0.175     -0.076     -6.239      6.262      0.498
   860       211   pi+                 91   752     0     0     0     0     0      0.252     -0.251     -7.856      7.866      0.140
   861       211   pi+                 91   754     0     0     0     0     0     -0.361     -0.731    -11.313     11.343      0.140
   862      -211   pi-                 91   754     0     0     0     0     0      0.111      0.154     -2.586      2.596      0.140
   863       310   (K_S0)             -91   756   756  1031  1032     0     0      0.086     -0.697     -9.779      9.817      0.498
   864       130   K_L0                91   757   757     0     0     0     0     -1.042      0.321     -6.027      6.145      0.498
   865       310   (K_S0)             -91   758   758  1033  1034     0     0     -0.291     -0.867     -4.010      4.143      0.498
   866      -321   K-                  91   760     0     0     0     0     0      0.249     -0.030      0.792      0.966      0.494
   867       211   pi+                 91   760     0     0     0     0     0      0.044     -0.067     -0.119      0.200      0.140
   868       211   pi+                 91   763     0     0     0     0     0     -0.226      0.205      0.568      0.659      0.140
   869      -211   pi-                 91   763     0     0     0     0     0      0.322     -0.227      0.005      0.418      0.140
   870       211   pi+                 91   764     0     0     0     0     0     -0.292     -0.748     60.726     60.731      0.140
   871      -211   pi-                 91   764     0     0     0     0     0      0.297      0.368     15.306     15.314      0.140
   872       211   pi+                 91   765     0     0     0     0     0     -0.355      0.200    110.134    110.135      0.140
   873       111   (pi0)              -91   765     0  1035  1037     0     0      0.587     -0.108    355.758    355.758      0.135
   874      -211   pi-                 91   766     0     0     0     0     0     -0.261     -0.252    554.605    554.606      0.140
   875       111   (pi0)              -91   766     0  1038  1039     0     0     -0.748      0.083    683.590    683.590      0.135
   876       310   (K_S0)             -91   859   859  1040  1041     0     0     -0.175     -0.076     -6.239      6.262      0.498
   877      4122   (Lambda_c+)        -91   543     0  1042  1044     0     0     -0.004     -0.481    -24.273     24.385      2.286
   878       111   (pi0)              -91   543     0  1045  1046     0     0      0.160      0.114     -2.139      2.152      0.135
   879        22   gamma               91   546     0     0     0     0     0      0.909     -0.312    -28.160     28.176      0.000
   880        22   gamma               91   546     0     0     0     0     0      0.615     -0.101    -17.447     17.459      0.000
   881        22   gamma               91   547     0     0     0     0     0      0.015     -0.016     -1.463      1.463      0.000
   882        22   gamma               91   547     0     0     0     0     0     -0.112      0.039    -39.141     39.141      0.000
   883        22   gamma               91   567     0     0     0     0     0     -0.119     -0.122     -1.089      1.103      0.000
   884        22   gamma               91   567     0     0     0     0     0     -0.137     -0.267     -1.137      1.176      0.000
   885        22   gamma               91   572     0     0     0     0     0     -0.336     -0.008     -6.851      6.859      0.000
   886        22   gamma               91   572     0     0     0     0     0     -0.741     -0.206    -14.163     14.184      0.000
   887      -421   (Dbar0)            -91   573     0  1047  1049     0     0     -2.496      0.071    -80.617     80.678      1.865
   888      -211   pi-                 91   573     0     0     0     0     0     -0.187     -0.037     -6.149      6.153      0.140
   889        22   gamma               91   580     0     0     0     0     0     -0.283     -0.332     -1.658      1.714      0.000
   890        22   gamma               91   580     0     0     0     0     0     -0.071     -0.236     -0.895      0.928      0.000
   891       211   pi+                 91   581     0     0     0     0     0     -0.357     -0.248     -8.044      8.057      0.140
   892      -211   pi-                 91   581     0     0     0     0     0      0.039     -0.085    -10.143     10.144      0.140
   893       111   (pi0)              -91   581     0  1050  1051     0     0     -0.181     -0.128     -3.157      3.168      0.135
   894        22   gamma               91   582     0     0     0     0     0     -0.026      0.222    -58.194     58.195      0.000
   895        22   gamma               91   582     0     0     0     0     0      0.059      0.167    -75.926     75.926      0.000
   896        22   gamma               91   583     0     0     0     0     0      0.023     -0.094    -28.692     28.692      0.000
   897        22   gamma               91   583     0     0     0     0     0      0.073      0.025    -38.035     38.035      0.000
   898       111   (pi0)              -91   586     0  1052  1053     0     0      0.549      0.083   -538.981    538.982      0.135
   899        22   gamma               91   586     0     0     0     0     0     -0.082      0.255   -817.376    817.376      0.000
   900       211   pi+                 91   604     0     0     0     0     0      0.095     -0.167      0.370      0.440      0.140
   901      -211   pi-                 91   604     0     0     0     0     0     -0.517     -0.317      0.917      1.108      0.140
   902       111   (pi0)              -91   604     0  1054  1055     0     0     -0.041     -0.021      0.498      0.518      0.135
   903        22   gamma               91   607     0     0     0     0     0     -0.009      0.033      0.084      0.090      0.000
   904        22   gamma               91   607     0     0     0     0     0      0.000     -0.118      0.651      0.662      0.000
   905        22   gamma               91   608     0     0     0     0     0      0.045     -0.069      0.292      0.303      0.000
   906        22   gamma               91   608     0     0     0     0     0     -0.058     -0.077      0.905      0.910      0.000
   907        22   gamma               91   609     0     0     0     0     0      0.314      0.001      0.793      0.853      0.000
   908        22   gamma               91   609     0     0     0     0     0     -0.213     -0.155      0.580      0.637      0.000
   909       211   pi+                 91   610     0     0     0     0     0     -0.056     -0.115      0.148      0.241      0.140
   910      -211   pi-                 91   610     0     0     0     0     0      0.096      0.099      0.274      0.337      0.140
   911       111   (pi0)              -91   610     0  1056  1057     0     0     -0.275     -0.346      1.003      1.104      0.135
   912        22   gamma               91   616     0     0     0     0     0      0.719     -0.081      2.643      2.740      0.000
   913        22   gamma               91   616     0     0     0     0     0      0.202     -0.402      1.450      1.518      0.000
   914        22   gamma               91   624     0     0     0     0     0     -0.085     -0.087     -0.053      0.133      0.000
   915        22   gamma               91   624     0     0     0     0     0     -0.029     -0.258     -0.006      0.260      0.000
   916     -2112   nbar0               91   626     0     0     0     0     0     -1.024      0.669      0.101      1.546      0.940
   917       211   pi+                 91   626     0     0     0     0     0     -0.430      0.268     -0.194      0.560      0.140
   918        22   gamma               91   628     0     0     0     0     0     -0.006      0.132     -0.395      0.416      0.000
   919        22   gamma               91   628     0     0     0     0     0      0.144      0.181     -0.488      0.540      0.000
   920        22   gamma               91   629     0     0     0     0     0     -0.072     -0.188     -0.624      0.656      0.000
   921        22   gamma               91   629     0     0     0     0     0      0.059     -0.090     -0.297      0.315      0.000
   922      2112   n0                  91   663     0     0     0     0     0     -0.370      0.514   -236.113    236.116      0.940
   923      -211   pi-                 91   663     0     0     0     0     0     -0.161      0.033   -107.023    107.024      0.140
   924     -2112   nbar0               91   664     0     0     0     0     0      0.068     -0.176    -49.655     49.664      0.940
   925       211   pi+                 91   664     0     0     0     0     0     -0.134      0.075    -20.722     20.723      0.140
   926        22   gamma               91   665     0     0     0     0     0     -0.746      0.485    -47.404     47.412      0.000
   927        22   gamma               91   665     0     0     0     0     0      0.017     -0.070     -1.314      1.316      0.000
   928        22   gamma               91   667     0     0     0     0     0      0.210     -0.100     -4.450      4.456      0.000
   929        22   gamma               91   667     0     0     0     0     0     -0.263      0.155     -3.620      3.633      0.000
   930      2212   p+                  91   674     0     0     0     0     0      0.517      0.466     -0.487      1.266      0.938
   931      -211   pi-                 91   674     0     0     0     0     0      0.057      0.204     -0.084      0.267      0.140
   932     -2112   nbar0               91   675     0     0     0     0     0     -0.371      2.098     -2.246      3.235      0.940
   933       211   pi+                 91   675     0     0     0     0     0     -0.280      0.348     -0.544      0.718      0.140
   934        22   gamma               91   677     0     0     0     0     0      0.178     -0.057     -0.508      0.541      0.000
   935        22   gamma               91   677     0     0     0     0     0      0.360     -0.049     -0.576      0.681      0.000
   936        22   gamma               91   681     0     0     0     0     0      0.059     -0.021     -0.867      0.869      0.000
   937        22   gamma               91   681     0     0     0     0     0      0.158      0.131     -1.466      1.480      0.000
   938       111   (pi0)              -91   696     0  1058  1059     0     0      1.018      0.707     48.939     48.955      0.135
   939        22   gamma               91   696     0     0     0     0     0      0.411     -0.169     11.842     11.851      0.000
   940        22   gamma               91   698     0     0     0     0     0     -0.119     -0.239     16.569     16.571      0.000
   941        22   gamma               91   698     0     0     0     0     0      0.037     -0.044      3.479      3.479      0.000
   942        22   gamma               91   699     0     0     0     0     0      0.018     -0.008      0.924      0.924      0.000
   943        22   gamma               91   699     0     0     0     0     0      1.236      0.525     51.195     51.213      0.000
   944        22   gamma               91   705     0     0     0     0     0      0.203     -0.035      4.249      4.254      0.000
   945        22   gamma               91   705     0     0     0     0     0      0.477      0.108      8.551      8.565      0.000
   946       111   (pi0)              -91   706     0  1060  1061     0     0     -0.043      0.245      1.042      1.080      0.135
   947       111   (pi0)              -91   706     0  1062  1063     0     0      0.093      0.263      1.835      1.861      0.135
   948       111   (pi0)              -91   706     0  1064  1065     0     0     -0.029      0.359      1.058      1.126      0.135
   949       211   pi+                 91   708     0     0     0     0     0     -0.164      0.189      0.341      0.445      0.140
   950      -211   pi-                 91   708     0     0     0     0     0      0.052     -0.132      0.507      0.544      0.140
   951       111   (pi0)              -91   708     0  1066  1067     0     0     -0.086     -0.114      0.022      0.198      0.135
   952       211   pi+                 91   710     0     0     0     0     0      0.383     -0.073     -0.530      0.673      0.140
   953      -211   pi-                 91   710     0     0     0     0     0      0.565     -0.056     -0.357      0.685      0.140
   954       111   (pi0)              -91   710     0  1068  1069     0     0      0.155     -0.150      0.043      0.258      0.135
   955        22   gamma               91   711     0     0     0     0     0      0.065     -0.035     -0.424      0.431      0.000
   956        22   gamma               91   711     0     0     0     0     0     -0.024     -0.090     -1.483      1.486      0.000
   957       111   (pi0)              -91   728     0  1070  1071     0     0     -0.136      0.057     52.752     52.752      0.135
   958       111   (pi0)              -91   728     0  1072  1073     0     0     -0.162      0.171     30.949     30.950      0.135
   959       111   (pi0)              -91   728     0  1074  1075     0     0     -0.009      0.035     46.577     46.577      0.135
   960       211   pi+                 91   735     0     0     0     0     0     -0.016      0.284      0.269      0.416      0.140
   961      -211   pi-                 91   735     0     0     0     0     0     -0.129      0.092      0.964      0.987      0.140
   962       111   (pi0)              -91   735     0  1076  1077     0     0     -0.002     -0.091      0.501      0.527      0.135
   963       211   pi+                 91   739     0     0     0     0     0     -0.230     -0.248     -0.280      0.461      0.140
   964      -211   pi-                 91   739     0     0     0     0     0      0.073      0.025     -0.331      0.367      0.140
   965       111   (pi0)              -91   739     0  1078  1079     0     0     -0.328      0.050     -0.222      0.421      0.135
   966        22   gamma               91   741     0     0     0     0     0     -0.011     -0.024      0.045      0.052      0.000
   967        22   gamma               91   741     0     0     0     0     0      0.039     -0.328      0.017      0.331      0.000
   968        22   gamma               91   743     0     0     0     0     0      0.646      0.194     -5.895      5.934      0.000
   969        22   gamma               91   743     0     0     0     0     0      0.471      0.183     -5.496      5.519      0.000
   970     -2112   nbar0               91   746     0     0     0     0     0      1.062      0.216    -15.157     15.224      0.940
   971      -211   pi-                 91   746     0     0     0     0     0      0.003     -0.092     -1.681      1.690      0.140
   972       111   (pi0)              -91   759     0  1080  1081     0     0      0.026      0.002     -0.480      0.499      0.135
   973       111   (pi0)              -91   759     0  1082  1083     0     0     -0.079     -0.160     -0.699      0.734      0.135
   974       221   (eta)              -91   759     0  1084  1086     0     0     -0.269     -0.033     -0.923      1.107      0.548
   975       113   (rho0)             -91   762     0  1087  1088     0     0      0.362      0.054      2.826      2.955      0.782
   976        22   gamma               91   762     0     0     0     0     0     -0.032     -0.124      0.203      0.240      0.000
   977       211   pi+                 91   770     0     0     0     0     0      0.152      0.046    -30.657     30.658      0.140
   978      -211   pi-                 91   770     0     0     0     0     0     -0.144      0.426    -85.115     85.116      0.140
   979        22   gamma               91   772     0     0     0     0     0     -0.190     -0.078     -1.842      1.854      0.000
   980        22   gamma               91   772     0     0     0     0     0     -0.273     -0.032     -1.500      1.525      0.000
   981        22   gamma               91   774     0     0     0     0     0     -0.035     -0.098     -0.174      0.202      0.000
   982        22   gamma               91   774     0     0     0     0     0     -0.004     -0.025     -0.405      0.406      0.000
   983        22   gamma               91   786     0     0     0     0     0      0.008     -0.092     -1.053      1.057      0.000
   984        22   gamma               91   786     0     0     0     0     0      0.191     -0.196     -1.852      1.872      0.000
   985        22   gamma               91   788     0     0     0     0     0     -0.287      0.119    -79.788     79.789      0.000
   986        22   gamma               91   788     0     0     0     0     0      0.009      0.030     -6.351      6.351      0.000
   987        22   gamma               91   792     0     0     0     0     0     -0.112     -0.119      0.080      0.182      0.000
   988        22   gamma               91   792     0     0     0     0     0     -0.060     -0.018     -0.047      0.079      0.000
   989        22   gamma               91   794     0     0     0     0     0      0.158      0.339      1.107      1.169      0.000
   990        22   gamma               91   794     0     0     0     0     0      0.048      0.167      0.863      0.880      0.000
   991        22   gamma               91   798     0     0     0     0     0      0.145     -0.074      0.149      0.221      0.000
   992        22   gamma               91   798     0     0     0     0     0      0.320     -0.418      0.394      0.657      0.000
   993        22   gamma               91   802     0     0     0     0     0      0.350      0.001      0.657      0.744      0.000
   994        22   gamma               91   802     0     0     0     0     0      0.752     -0.198      1.428      1.626      0.000
   995        22   gamma               91   806     0     0     0     0     0      0.377     -0.164      1.117      1.190      0.000
   996        22   gamma               91   806     0     0     0     0     0      0.979     -0.613      2.734      2.968      0.000
   997       211   pi+                 91   811     0     0     0     0     0      0.155      0.910     -0.173      0.950      0.140
   998      -211   pi-                 91   811     0     0     0     0     0     -0.044      0.052     -0.030      0.158      0.140
   999        22   gamma               91   813     0     0     0     0     0     -0.068      0.115    -10.457     10.458      0.000
  1000        22   gamma               91   813     0     0     0     0     0      0.041      0.202    -23.526     23.527      0.000
  1001        22   gamma               91   815     0     0     0     0     0      0.174     -0.186     -6.053      6.058      0.000
  1002        22   gamma               91   815     0     0     0     0     0      0.223     -0.181    -10.994     10.998      0.000
  1003        22   gamma               91   819     0     0     0     0     0     -0.295      0.076      0.019      0.306      0.000
  1004        22   gamma               91   819     0     0     0     0     0     -0.518      0.192     -0.139      0.570      0.000
  1005        22   gamma               91   823     0     0     0     0     0      0.070      0.124     -0.102      0.175      0.000
  1006        22   gamma               91   823     0     0     0     0     0     -0.016     -0.006      0.023      0.028      0.000
  1007        22   gamma               91   825     0     0     0     0     0     -0.306      0.403     -1.349      1.441      0.000
  1008        22   gamma               91   825     0     0     0     0     0     -0.180      0.381     -0.898      0.992      0.000
  1009        22   gamma               91   827     0     0     0     0     0     -0.052      0.043      0.059      0.090      0.000
  1010        22   gamma               91   827     0     0     0     0     0     -0.610      0.101      0.240      0.663      0.000
  1011       211   pi+                 91   828     0     0     0     0     0      0.038      0.305      1.147      1.196      0.140
  1012      -211   pi-                 91   828     0     0     0     0     0      0.361      0.044      1.393      1.446      0.140
  1013        22   gamma               91   831     0     0     0     0     0      0.163      0.535      1.128      1.259      0.000
  1014        22   gamma               91   831     0     0     0     0     0      0.170      0.233      0.605      0.670      0.000
  1015        22   gamma               91   833     0     0     0     0     0     -0.040      0.237      1.284      1.306      0.000
  1016        22   gamma               91   833     0     0     0     0     0     -0.020      0.200      1.974      1.984      0.000
  1017        22   gamma               91   835     0     0     0     0     0     -0.043      0.125     13.833     13.834      0.000
  1018        22   gamma               91   835     0     0     0     0     0      0.055      0.317     51.252     51.253      0.000
  1019        22   gamma               91   839     0     0     0     0     0     -0.001     -0.047      7.596      7.596      0.000
  1020        22   gamma               91   839     0     0     0     0     0     -0.036     -0.017      0.617      0.619      0.000
  1021        22   gamma               91   847     0     0     0     0     0      0.071      0.306     11.356     11.360      0.000
  1022        22   gamma               91   847     0     0     0     0     0     -0.044      0.053      2.003      2.004      0.000
  1023        22   gamma               91   849     0     0     0     0     0     -0.002     -0.021      0.254      0.255      0.000
  1024        22   gamma               91   849     0     0     0     0     0     -0.065     -0.000     10.322     10.322      0.000
  1025        22   gamma               91   852     0     0     0     0     0     -0.537      0.584     -5.030      5.092      0.000
  1026        22   gamma               91   852     0     0     0     0     0     -0.011     -0.001     -0.205      0.205      0.000
  1027        22   gamma               91   854     0     0     0     0     0      0.161     -0.068     -0.847      0.865      0.000
  1028        22   gamma               91   854     0     0     0     0     0      0.161     -0.029     -0.359      0.395      0.000
  1029        22   gamma               91   858     0     0     0     0     0     -0.219      0.009     -1.720      1.734      0.000
  1030        22   gamma               91   858     0     0     0     0     0     -0.083      0.096     -1.151      1.158      0.000
  1031       211   pi+                 91   863     0     0     0     0     0     -0.082     -0.050     -2.572      2.578      0.140
  1032      -211   pi-                 91   863     0     0     0     0     0      0.167     -0.647     -7.207      7.239      0.140
  1033       211   pi+                 91   865     0     0     0     0     0     -0.281     -0.748     -2.671      2.791      0.140
  1034      -211   pi-                 91   865     0     0     0     0     0     -0.010     -0.119     -1.340      1.352      0.140
  1035        22   gamma               91   873     0     0     0     0     0      0.090     -0.021     89.809     89.809      0.000
  1036        11   e-                  91   873     0     0     0     0     0      0.280     -0.047    151.734    151.734      0.001
  1037       -11   e+                  91   873     0     0     0     0     0      0.217     -0.041    114.214    114.215      0.001
  1038        22   gamma               91   875     0     0     0     0     0     -0.509      0.117    483.961    483.961      0.000
  1039        22   gamma               91   875     0     0     0     0     0     -0.239     -0.033    199.629    199.629      0.000
  1040       211   pi+                 91   876     0     0     0     0     0     -0.205     -0.184     -2.592      2.610      0.140
  1041      -211   pi-                 91   876     0     0     0     0     0      0.029      0.108     -3.648      3.652      0.140
  1042       311   (K0)               -91   877     0  1089  1089     0     0     -0.156      0.210     -4.757      4.791      0.498
  1043       211   pi+                 91   877     0     0     0     0     0      0.036     -0.232     -6.193      6.199      0.140
  1044      3322   (Xi0)              -91   877     0  1090  1091     0     0      0.117     -0.459    -13.322     13.395      1.315
  1045        22   gamma               91   878     0     0     0     0     0      0.014     -0.027     -0.158      0.161      0.000
  1046        22   gamma               91   878     0     0     0     0     0      0.146      0.140     -1.981      1.991      0.000
  1047       313   (K*0)              -91   887     0  1092  1093     0     0     -0.936     -0.431    -38.165     38.189      0.873
  1048      -211   pi-                 91   887     0     0     0     0     0     -1.496      0.376    -36.039     36.072      0.140
  1049       211   pi+                 91   887     0     0     0     0     0     -0.064      0.125     -6.414      6.417      0.140
  1050        22   gamma               91   893     0     0     0     0     0     -0.124     -0.150     -2.152      2.161      0.000
  1051        22   gamma               91   893     0     0     0     0     0     -0.057      0.022     -1.005      1.007      0.000
  1052        22   gamma               91   898     0     0     0     0     0      0.147      0.067   -117.199    117.199      0.000
  1053        22   gamma               91   898     0     0     0     0     0      0.403      0.017   -421.783    421.783      0.000
  1054        22   gamma               91   902     0     0     0     0     0     -0.022      0.056      0.163      0.174      0.000
  1055        22   gamma               91   902     0     0     0     0     0     -0.019     -0.077      0.335      0.344      0.000
  1056        22   gamma               91   911     0     0     0     0     0     -0.219     -0.340      0.856      0.947      0.000
  1057        22   gamma               91   911     0     0     0     0     0     -0.056     -0.005      0.147      0.157      0.000
  1058        22   gamma               91   938     0     0     0     0     0      0.846      0.551     37.954     37.968      0.000
  1059        22   gamma               91   938     0     0     0     0     0      0.172      0.156     10.985     10.988      0.000
  1060        22   gamma               91   946     0     0     0     0     0     -0.036      0.260      1.016      1.049      0.000
  1061        22   gamma               91   946     0     0     0     0     0     -0.007     -0.015      0.026      0.031      0.000
  1062        22   gamma               91   947     0     0     0     0     0      0.006      0.043      0.089      0.099      0.000
  1063        22   gamma               91   947     0     0     0     0     0      0.088      0.220      1.746      1.762      0.000
  1064        22   gamma               91   948     0     0     0     0     0      0.039      0.268      0.747      0.795      0.000
  1065        22   gamma               91   948     0     0     0     0     0     -0.068      0.091      0.311      0.331      0.000
  1066        22   gamma               91   951     0     0     0     0     0     -0.040     -0.111      0.065      0.134      0.000
  1067        22   gamma               91   951     0     0     0     0     0     -0.047     -0.004     -0.043      0.064      0.000
  1068        22   gamma               91   954     0     0     0     0     0      0.175     -0.138      0.058      0.230      0.000
  1069        22   gamma               91   954     0     0     0     0     0     -0.020     -0.012     -0.015      0.028      0.000
  1070        22   gamma               91   957     0     0     0     0     0     -0.114     -0.020     25.522     25.522      0.000
  1071        22   gamma               91   957     0     0     0     0     0     -0.022      0.077     27.230     27.230      0.000
  1072        22   gamma               91   958     0     0     0     0     0     -0.145      0.115     28.005     28.006      0.000
  1073        22   gamma               91   958     0     0     0     0     0     -0.017      0.056      2.944      2.944      0.000
  1074        22   gamma               91   959     0     0     0     0     0     -0.044      0.069     36.755     36.755      0.000
  1075        22   gamma               91   959     0     0     0     0     0      0.035     -0.034      9.821      9.822      0.000
  1076        22   gamma               91   962     0     0     0     0     0     -0.057     -0.001      0.172      0.182      0.000
  1077        22   gamma               91   962     0     0     0     0     0      0.055     -0.090      0.329      0.345      0.000
  1078        22   gamma               91   965     0     0     0     0     0     -0.049     -0.032     -0.075      0.095      0.000
  1079        22   gamma               91   965     0     0     0     0     0     -0.280      0.082     -0.146      0.326      0.000
  1080        22   gamma               91   972     0     0     0     0     0      0.028      0.004     -0.011      0.031      0.000
  1081        22   gamma               91   972     0     0     0     0     0     -0.003     -0.002     -0.468      0.468      0.000
  1082        22   gamma               91   973     0     0     0     0     0      0.000      0.006     -0.230      0.230      0.000
  1083        22   gamma               91   973     0     0     0     0     0     -0.080     -0.166     -0.469      0.504      0.000
  1084       211   pi+                 91   974     0     0     0     0     0     -0.282      0.086     -0.492      0.590      0.140
  1085      -211   pi-                 91   974     0     0     0     0     0      0.100     -0.075     -0.298      0.352      0.140
  1086        22   gamma               91   974     0     0     0     0     0     -0.086     -0.044     -0.134      0.165      0.000
  1087       211   pi+                 91   975     0     0     0     0     0      0.140      0.376      1.087      1.167      0.140
  1088      -211   pi-                 91   975     0     0     0     0     0      0.221     -0.322      1.739      1.788      0.140
  1089       130   K_L0                91  1042  1042     0     0     0     0     -0.156      0.210     -4.757      4.791      0.498
  1090      3122   (Lambda0)          -91  1044     0  1094  1095     0     0      0.041     -0.517    -11.510     11.575      1.116
  1091       111   (pi0)              -91  1044     0  1096  1097     0     0      0.075      0.058     -1.812      1.820      0.135
  1092       311   (K0)               -91  1047     0  1098  1098     0     0     -0.383     -0.113    -24.544     24.553      0.498
  1093       111   (pi0)              -91  1047     0  1099  1100     0     0     -0.553     -0.318    -13.621     13.636      0.135
  1094      2212   p+                  91  1090     0     0     0     0     0      0.084     -0.380    -10.180     10.230      0.938
  1095      -211   pi-                 91  1090     0     0     0     0     0     -0.043     -0.137     -1.330      1.345      0.140
  1096        22   gamma               91  1091     0     0     0     0     0     -0.028     -0.003     -0.123      0.126      0.000
  1097        22   gamma               91  1091     0     0     0     0     0      0.104      0.061     -1.689      1.694      0.000
  1098       130   K_L0                91  1092  1092     0     0     0     0     -0.383     -0.113    -24.544     24.553      0.498
  1099        22   gamma               91  1093     0     0     0     0     0     -0.538     -0.272    -12.720     12.734      0.000
  1100        22   gamma               91  1093     0     0     0     0     0     -0.015     -0.046     -0.901      0.902      0.000
                                   Charge sum:  2.000           Momentum sum:      0.000     -0.000      0.000   8000.000   8000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |         553         56         56 |   2.248e-01  1.685e-02 |
 | g g -> q qbar (uds)                            112 |          10          2          2 |   5.643e-03  2.037e-03 |
 | q g -> q g                                     113 |         330         41         41 |   1.376e-01  1.213e-02 |
 | q q(bar)' -> q q(bar)'                         114 |          36          1          1 |   1.321e-02  1.321e-02 |
 | q qbar -> g g                                  115 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> q' qbar' (uds)                       116 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> c cbar                                  121 |           3          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> c cbar                               122 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> b bbar                                  123 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> b bbar                               124 |           0          0          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |         932        100        100 |   3.812e-01  2.469e-02 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      0   no errors or warnings to report                                                                        | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:00       charged multiplicity

        8.10*10^ 0                      7      7                                                                        
        7.80*10^ 0                      X      X                                                                        
        7.50*10^ 0                      X      X                                                                        
        7.20*10^ 0                      X  3   X                                                                        
        6.90*10^ 0                      X  X   X                                                                        
        6.60*10^ 0                      X  X   X                                                                        
        6.30*10^ 0                      X  X   X                                                                        
        6.00*10^ 0                      XX X   X                                                                        
        5.70*10^ 0                      XX X   X                                                                        
        5.40*10^ 0                      XX X   X                                                                        
        5.10*10^ 0               77  7  XX X   X                                                                        
        4.80*10^ 0               XX  X  XX X   X                                                                        
        4.50*10^ 0               XX  X  XX X   X                                                                        
        4.20*10^ 0            333XX  X 3XX X   X                                                                        
        3.90*10^ 0            XXXXX  X XXX X   X                                                                        
        3.60*10^ 0            XXXXX  X XXX X   X                                                                        
        3.30*10^ 0            XXXXX  X XXX X   X                                                                        
        3.00*10^ 0            XXXXXXXXXXXXXX XXXXX                                                                      
        2.70*10^ 0            XXXXXXXXXXXXXX XXXXX                                                                      
        2.40*10^ 0            XXXXXXXXXXXXXX XXXXX                                                                      
        2.10*10^ 0          7 XXXXXXXXXXXXXX7XXXXX 7 77                                                                 
        1.80*10^ 0          X XXXXXXXXXXXXXXXXXXXX X XX                                                                 
        1.50*10^ 0          X XXXXXXXXXXXXXXXXXXXX X XX                                                                 
        1.20*10^ 0        3 X3XXXXXXXXXXXXXXXXXXXX3X3XX3  3                                                             
        0.90*10^ 0        X XXXXXXXXXXXXXXXXXXXXXXXXXXXX  X                                                             
        0.60*10^ 0        X XXXXXXXXXXXXXXXXXXXXXXXXXXXX  X                                                             
        0.30*10^ 0        X XXXXXXXXXXXXXXXXXXXXXXXXXXXX  X                                                             

          Contents                                                                                                      
            *10^ 0  0000001021444553353486372338331212210010000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =         100    Mean =  1.6654e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  5.6949e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02
pythia8-8.1.86.orig/examples/outref/out110000644000175000017500000044721712357054711016401 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:03:34    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with pbar- at a CM energy of 1.960e+03 GeV         |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Les Houches User Process(es)                  9999 |   5.480e-09 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   40.89 mb               | 
 |                                                                  | 
 |    pT0 =  2.12 gives sigmaInteraction =  136.66 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:frameType                               |                        4 |            1           1           5 | 
 | Beams:LHEF                                    |                ttbar.lhe |         void                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  LHA initialization information  ------------ 

  beam    kind      energy  pdfgrp  pdfset 
     A    2212     980.000       0       7
     B   -2212     980.000       0       7

  Event weighting strategy =  3

  Processes, with strategy-dependent cross section info 
  number      xsec (pb)      xerr (pb)      xmax (pb) 
      81     5.2201e+00     5.3841e-01     1.0000e+00
      82     2.6026e-01     1.0625e-01     1.0000e+00

 --------  End LHA initialization information  -------- 

 --------  LHA event information and listing  ---------------------------------------------------------------------- 

    process =       81    weight =   1.0000e+00     scale =   1.7331e+02 (GeV) 
                        alpha_em =   7.8198e-03    alpha_strong =   1.1567e-01

    Participating Particles 
    no        id stat     mothers     colours      p_x        p_y        p_z         e          m        tau    spin 
     1         2   -1     0     0   101     0      0.000      0.000    108.382    108.382      0.000   0.000   9.000
     2        -2   -1     0     0     0   102      0.000      0.000   -279.761    279.761      0.000   0.000   9.000
     3         6    2     1     2   101     0     33.629      8.912   -110.596    212.418    177.987   0.000   9.000
     4        -6    2     1     2     0   102    -33.629     -8.912    -60.783    175.725    161.166   0.000   9.000
     5        24    2     3     0     0     0    -30.885    -12.140     -4.785     86.623     79.871   0.000   9.000
     6         5    1     3     0   101     0     64.514     21.052   -105.811    125.794      4.800   0.000   9.000
     7       -24    2     4     0     0     0    -50.940     34.881    -75.292    126.217     80.315   0.000   9.000
     8        -5    1     4     0     0   102     17.311    -43.792     14.509     49.507      4.800   0.000   9.000
     9        -1    1     5     0     0   103     18.584      9.166     18.652     27.882      0.330   0.000   9.000
    10         2    1     5     0   103     0    -49.469    -21.306    -23.437     58.741      0.330   0.000   9.000
    11        13    1     7     0     0     0      9.691     39.074    -25.560     47.687      0.106   0.000   9.000
    12       -14    1     7     0     0     0    -60.632     -4.194    -49.732     78.530      0.000   0.000   9.000

     pdf: id1 =    2 id2 =   -2 x1 = 1.106e-01 x2 = 2.855e-01 scalePDF = 1.733e+02 pdf1 = 5.530e-01 pdf2 = 3.572e-01

 --------  End LHA event information and listing  ------------------------------------------------------------------ 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  9.800e+02, e =  9.800e+02, m =  9.383e-01.
 Beam B: id =  -2212, pz = -9.800e+02, e =  9.800e+02, m =  9.383e-01.

 In 1: id =    2, x =  1.106e-01, pdf =  5.530e-01 at Q2 =  3.004e+04.
 In 2: id =   -2, x =  2.855e-01, pdf =  3.572e-01 at same Q2.

 Process Les Houches User Process(es) with code 9999 is 2 -> 2.
 Subprocess user process 81 with code 81 is 2 -> 2.
 It has sHat =  1.213e+05,    tHat = -3.834e+04,    uHat = -2.529e+04,
       pTHat =  3.479e+01,   m3Hat =  1.780e+02,   m4Hat =  1.612e+02,
    thetaHat =  2.065e+00,  phiHat =  2.590e-01.
     alphaEM =  7.820e-03,  alphaS =  1.157e-01    at Q2 =  3.004e+04.

 Impact parameter b =  6.777e-01 gives enhancement factor =  1.623e+00.
 Max pT scale for MPI =  1.960e+03, ISR =  1.960e+03, FSR =  1.960e+03.
 Number of MPI =     6, ISR =    12, FSRproc =    46, FSRreson =    25.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0     4     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         2   (u)                -21     1     0     5     6   101     0      0.000      0.000    108.382    108.382      0.000
     4        -2   (ubar)             -21     2     0     5     6     0   102      0.000      0.000   -279.761    279.761      0.000
     5         6   (t)                -22     3     4     7     8   101     0     33.629      8.912   -110.596    212.418    177.987
     6        -6   (tbar)             -22     3     4     9    10     0   102    -33.629     -8.912    -60.783    175.725    161.166
     7        24   (W+)               -22     5     0    11    12     0     0    -30.885    -12.140     -4.785     86.623     79.871
     8         5   b                   23     5     0     0     0   101     0     64.514     21.052   -105.811    125.794      4.800
     9       -24   (W-)               -22     6     0    13    14     0     0    -50.940     34.881    -75.292    126.217     80.315
    10        -5   bbar                23     6     0     0     0     0   102     17.311    -43.792     14.509     49.507      4.800
    11        -1   dbar                23     7     0     0     0     0   103     18.584      9.166     18.652     27.882      0.330
    12         2   u                   23     7     0     0     0   103     0    -49.469    -21.306    -23.437     58.741      0.330
    13        13   mu-                 23     9     0     0     0     0     0      9.691     39.074    -25.560     47.687      0.106
    14       -14   nu_mubar            23     9     0     0     0     0     0    -60.632     -4.194    -49.732     78.530      0.000
                                   Charge sum:  0.000           Momentum sum:     -0.000      0.000   -171.379    388.143    348.258

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0   253     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0   254     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         2   (u)                -21     7     0     5     6   101     0      0.000      0.000    108.382    108.382      0.000
     4        -2   (ubar)             -21     8     8     5     6     0   102      0.000      0.000   -279.761    279.761      0.000
     5         6   (t)                -22     3     4     9     9   101     0     33.629      8.912   -110.596    212.418    177.987
     6        -6   (tbar)             -22     3     4    10    10     0   102    -33.629     -8.912    -60.783    175.725    161.166
     7         2   (u)                -41    12     0    11     3   104     0     -0.000     -0.000    168.342    168.342      0.000
     8        -2   (ubar)             -42    13    13     4     4     0   102      0.000      0.000   -279.761    279.761      0.000
     9         6   (t)                -44     5     5    14    14   101     0      8.224      2.686    -31.426    180.947    177.987
    10        -6   (tbar)             -44     6     6    15    15     0   102    -62.308    -15.939     -4.803    173.591    161.166
    11        21   (g)                -43     7     0    16    16   104   101     54.085     13.253    -75.191     93.565      0.000
    12         2   (u)                -41    18     0    17     7   105     0     -0.000      0.000    179.905    179.905      0.000
    13        -2   (ubar)             -42    19    19     8     8     0   102      0.000     -0.000   -279.761    279.761      0.000
    14         6   (t)                -44     9     9    20    20   101     0      3.364      3.157    -29.071    180.405    177.987
    15        -6   (tbar)             -44    10    10    21    21     0   102    -67.794    -15.407     -4.752    175.586    161.166
    16        21   (g)                -44    11    11    22    22   104   101     53.488     13.311    -72.383     90.981      0.000
    17        21   (g)                -43    12     0    23    23   105   104     10.942     -1.061      6.350     12.695      0.000
    18         2   (u)                -41    25    25    24    12   106     0     -0.000     -0.000    196.445    196.445      0.000
    19        -2   (ubar)             -42    26     0    13    13     0   102      0.000      0.000   -279.761    279.761      0.000
    20         6   (t)                -44    14    14    27    27   101     0      5.076      4.129    -28.906    180.438    177.987
    21        -6   (tbar)             -44    15    15    28    28     0   102    -65.862    -14.310     -3.672    174.729    161.166
    22        21   (g)                -44    16    16    29    29   104   101     53.698     13.431    -72.955     91.577      0.000
    23        21   (g)                -44    17    17    30    30   105   104     11.157     -0.939      6.248     12.822      0.000
    24        21   (g)                -43    18     0    31    31   106   105     -4.069     -2.310     15.968     16.640      0.000
    25         2   (u)                -42    80     0    18    18   106     0      0.000     -0.000    196.445    196.445      0.000
    26        -2   (ubar)             -41    81    81    32    19     0   102     -0.000      0.000   -320.933    320.933      0.000
    27         6   (t)                -44    20    20    42    42   101     0      6.300      3.562    -28.967    180.474    177.987
    28        -6   (tbar)             -44    21    21    83    83     0   102    -64.818    -14.794     -4.095    174.389    161.166
    29        21   (g)                -44    22    22    37    38   104   101     54.660     12.985    -72.717     91.892      0.000
    30        21   (g)                -44    23    23    39    39   105   104     11.195     -0.957      6.310     12.887      0.000
    31        21   (g)                -44    24    24    60    61   106   105     -4.065     -2.312     15.943     16.615      0.000
    32        22   (gamma)            -43    26     0    87    87     0     0     -3.272      1.516    -40.963     41.121      0.000
    33        21   (g)                -31    50     0    35    36   107   108      0.000      0.000      1.018      1.018      0.000
    34        21   (g)                -31    51    51    35    36   109   110      0.000      0.000    -12.621     12.621      0.000
    35        21   (g)                -33    33    34    52    52   107   110     -2.397     -2.660     -6.118      7.089      0.000
    36        21   (g)                -33    33    34    53    53   109   108      2.397      2.660     -5.485      6.551      0.000
    37        21   (g)                -51    29     0    40    41   111   101     17.011      3.115    -16.922     24.196      0.000
    38        21   (g)                -51    29     0    45    45   104   111     37.961      9.843    -55.619     68.054      0.000
    39        21   (g)                -52    30    30    43    44   105   104     10.884     -0.930      6.135     12.528      0.000
    40        21   (g)                -51    37     0    84    84   111   112      4.861      0.666     -9.134     10.369      0.000
    41        21   (g)                -51    37     0    89    89   112   101     11.428      2.330     -7.189     13.701      0.000
    42         6   (t)                -52    27    27    82    82   101     0      7.022      3.681    -29.566    180.600    177.987
    43        21   (g)                -51    39     0    62    62   105   113      9.206      0.457      6.390     11.216      0.000
    44        21   (g)                -51    39     0    90    90   113   104      4.013     -0.782     -3.676      5.498      0.000
    45        21   (g)                -52    38    38    88    88   104   111     35.626      9.238    -52.199     63.869      0.000
    46        -1   (dbar)             -31    55    55    48    49     0   114      0.000      0.000      2.592      2.592      0.000
    47        -4   (cbar)             -31    56     0    48    49     0   115      0.000      0.000     -5.456      5.456      0.000
    48        -1   (dbar)             -33    46    47    57    57     0   115     -0.301     -2.455      1.425      2.874      0.330
    49        -4   (cbar)             -33    46    47    58    58     0   114      0.301      2.455     -4.290      5.174      1.500
    50        21   (g)                -41    63    63    54    33   107   116      0.000      0.000      1.428      1.428      0.000
    51        21   (g)                -42    64     0    34    34   109   110      0.000     -0.000    -12.621     12.621      0.000
    52        21   (g)                -44    35    35    65    65   107   110     -2.434     -2.642     -4.062      5.423      0.000
    53        21   (g)                -44    36    36    66    66   109   108      2.357      2.680     -3.517      5.011      0.000
    54        21   (g)                -43    50     0    67    67   108   116      0.077     -0.037     -3.614      3.615      0.000
    55        -1   (dbar)             -42   297   297    46    46     0   114      0.000     -0.000      2.592      2.592      0.000
    56        21   (g)                -41   298   298    59    47   117   115     -0.000      0.000     -8.928      8.928      0.000
    57        -1   (dbar)             -44    48    48   299   299     0   115     -0.351     -2.295      0.627      2.428      0.330
    58        -4   (cbar)             -44    49    49   300   300     0   114     -0.026      3.501     -5.264      6.497      1.500
    59         4   (c)                -43    56     0   301   301   117     0      0.377     -1.205     -1.700      2.595      1.500
    60        21   (g)                -51    31     0    86    86   106   118     -4.246     -0.832     14.360     14.998      0.000
    61        21   (g)                -51    31     0    91    91   118   105      1.564     -1.411      2.543      3.302      0.000
    62        21   (g)                -52    43    43    85    85   105   113      7.823      0.388      5.430      9.531      0.000
    63        21   (g)                -42    69     0    50    50   107   116      0.000      0.000      1.428      1.428      0.000
    64        21   (g)                -41    70    70    68    51   109   119     -0.000     -0.000    -37.626     37.626      0.000
    65        21   (g)                -44    52    52    71    71   107   110     -1.633     -2.642     -4.755      5.679      0.000
    66        21   (g)                -44    53    53    72    72   109   108      3.078      2.680     -3.803      5.578      0.000
    67        21   (g)                -44    54    54    73    73   108   116      0.689     -0.037     -3.947      4.007      0.000
    68        21   (g)                -43    64     0    74    74   110   119     -2.134     -0.000    -23.694     23.790      0.000
    69        21   (g)                -41   159   159    75    63   120   116      0.000      0.000      1.820      1.820      0.000
    70        21   (g)                -42   284   284    64    64   109   119     -0.000      0.000    -37.626     37.626      0.000
    71        21   (g)                -44    65    65   119   120   107   110     -1.405     -3.151     -5.338      6.355      0.000
    72        21   (g)                -44    66    66   130   130   109   108      3.515      1.704     -2.929      4.883      0.000
    73        21   (g)                -44    67    67   128   129   108   116      0.703     -0.070     -3.763      3.829      0.000
    74        21   (g)                -44    68    68   121   121   110   119     -2.110     -0.053    -21.058     21.164      0.000
    75        21   (g)                -43    69     0   157   158   120   107     -0.704      1.569     -2.717      3.216      0.000
    76         2   (u)                -31   187     0    78    79   121     0      0.000      0.000     71.428     71.428      0.000
    77        21   (g)                -31   188   188    78    79   122   121      0.000      0.000     -0.866      0.866      0.000
    78         2   (u)                -33    76    77    99    99   123     0      0.434      2.084     70.078     70.112      0.330
    79        21   (g)                -33    76    77    97    98   122   123     -0.434     -2.084      0.484      2.183      0.000
    80         2   (u)                -41   253   253    92    25   124     0      0.000     -0.000    220.322    220.322      0.000
    81        -2   (ubar)             -42   254   254    26    26     0   102     -0.000      0.000   -320.933    320.933      0.000
    82         6   (t)                -44    42    42   109   109   101     0      7.325      2.985    -29.539    180.595    177.987
    83        -6   (tbar)             -44    28    28   256   256     0   102    -64.476    -15.579     -4.010    174.328    161.166
    84        21   (g)                -44    40    40   112   112   111   112      4.864      0.660     -9.139     10.374      0.000
    85        21   (g)                -44    62    62   113   114   105   113      7.853      0.319      5.418      9.546      0.000
    86        21   (g)                -44    60    60   104   105   106   118     -4.187     -0.968     14.366     14.995      0.000
    87        22   (gamma)            -44    32    32   260   260     0     0     -3.272      1.516    -40.944     41.102      0.000
    88        21   (g)                -44    45    45   133   133   104   111     35.649      9.184    -52.219     63.891      0.000
    89        21   (g)                -44    41    41   107   108   112   101     11.441      2.300     -7.199     13.712      0.000
    90        21   (g)                -44    44    44   115   115   113   104      4.016     -0.790     -3.687      5.509      0.000
    91        21   (g)                -44    61    61   172   173   118   105      1.575     -1.438      2.534      3.312      0.000
    92        21   (g)                -43    80     0   106   106   124   106     -0.789      1.811     23.808     23.890      0.000
    93        21   (g)                -31   202   202    95    96   125   126      0.000      0.000      1.150      1.150      0.000
    94        21   (g)                -31   180   180    95    96   127   128      0.000      0.000     -3.548      3.548      0.000
    95        21   (g)                -33    93    94   200   201   125   128      0.661     -1.221     -2.905      3.220      0.000
    96        21   (g)                -33    93    94   178   179   127   126     -0.661      1.221      0.508      1.478      0.000
    97        21   (g)                -51    79     0   190   190   122   129     -0.054     -0.200     -0.571      0.607      0.000
    98        21   (g)                -51    79     0   122   123   129   123     -0.368     -1.824      3.058      3.580      0.000
    99         2   (u)                -52    78    78   124   124   123     0      0.421      2.024     68.075     68.108      0.330
   100        21   (g)                -31   137     0   102   103   130   131      0.000      0.000      0.823      0.823      0.000
   101        21   (g)                -31   138   138   102   103   131   132      0.000      0.000    -45.179     45.179      0.000
   102        21   (g)                -33   100   101   139   139   130   133     -0.990     -0.506      0.437      1.195      0.000
   103        21   (g)                -33   100   101   140   140   133   132      0.990      0.506    -44.794     44.807      0.000
   104        21   (g)                -51    86     0   116   117   134   118     -2.848     -0.078      7.313      7.848      0.000
   105        21   (g)                -51    86     0   118   118   106   134     -1.486     -0.553     11.486     11.595      0.000
   106        21   (g)                -52    92    92   238   238   124   106     -0.642      1.474     19.376     19.442      0.000
   107        21   (g)                -51    89     0   110   111   112   135      9.897      2.973     -6.558     12.240      0.000
   108        21   (g)                -51    89     0   147   147   135   101      1.120     -0.755     -0.440      1.421      0.000
   109         6   (t)                -52    82    82   255   255   101     0      7.749      3.066    -29.739    180.647    177.987
   110        21   (g)                -51   107     0   145   146   136   135      4.480      2.320     -3.071      5.906      0.000
   111        21   (g)                -51   107     0   151   152   112   136      6.047      0.739     -4.670      7.676      0.000
   112        21   (g)                -52    84    84   131   132   111   112      4.235      0.575     -7.957      9.032      0.000
   113         1   (d)                -51    85     0   258   258   105     0      3.126     -0.199      3.014      4.360      0.330
   114        -1   (dbar)             -51    85     0   269   269     0   113      4.897      0.485      2.247      5.420      0.330
   115        21   (g)                -52    90    90   154   155   113   104      3.846     -0.757     -3.531      5.276      0.000
   116        21   (g)                -51   104     0   174   174   137   118     -0.733     -0.662      1.929      2.167      0.000
   117        21   (g)                -51   104     0   208   208   134   137     -3.053      0.236     12.628     12.994      0.000
   118        21   (g)                -52   105   105   236   237   106   134     -0.549     -0.204      4.242      4.282      0.000
   119        21   (g)                -51    71     0   285   285   107   138      0.051      0.341     -1.062      1.117      0.000
   120        21   (g)                -51    71     0   136   136   138   110     -1.765     -3.500     -7.361      8.340      0.000
   121        21   (g)                -52    74    74   134   135   110   119     -1.801     -0.045    -17.973     18.063      0.000
   122        21   (g)                -51    98     0   191   191   129   139     -0.848     -1.618      4.706      5.048      0.000
   123        21   (g)                -51    98     0   127   127   139   123      0.495     -0.138      0.640      0.821      0.000
   124         2   (u)                -52    99    99   125   126   123     0      0.407      1.956     65.787     65.818      0.330
   125         2   (u)                -51   124     0   189   189   140     0      1.001      1.144     39.458     39.489      0.330
   126        21   (g)                -51   124     0   163   164   123   140     -0.547      0.799     26.390     26.408      0.000
   127        21   (g)                -52   123   123   165   165   139   123      0.448     -0.125      0.579      0.742      0.000
   128        21   (g)                -51    73     0   287   287   141   116      1.391      0.092     -4.543      4.752      0.000
   129        21   (g)                -51    73     0   291   291   108   141      0.264      0.300     -0.014      0.400      0.000
   130        21   (g)                -52    72    72   286   286   109   108      2.563      1.243     -2.136      3.560      0.000
   131        21   (g)                -51   112     0   153   153   142   112      6.937      0.857    -11.787     13.704      0.000
   132        21   (g)                -51   112     0   160   161   111   142      6.263      2.027     -9.303     11.396      0.000
   133        21   (g)                -52    88    88   156   156   104   111     26.684      6.874    -39.087     47.823      0.000
   134        21   (g)                -51   121     0   177   177   143   119     -0.353     -0.170    -10.267     10.274      0.000
   135        21   (g)                -51   121     0   175   176   110   143     -1.568     -0.114     -8.208      8.357      0.000
   136        21   (g)                -52   120   120   181   182   138   110     -1.644     -3.261     -6.859      7.771      0.000
   137        21   (g)                -41   242     0   141   100   130   144      0.000     -0.000      0.914      0.914      0.000
   138        21   (g)                -42   243   243   101   101   131   132     -0.000      0.000    -45.179     45.179      0.000
   139        21   (g)                -44   102   102   142   143   130   133     -0.625     -0.926      0.468      1.211      0.000
   140        21   (g)                -44   103   103   144   144   133   132      0.993      0.502    -43.626     43.640      0.000
   141        21   (g)                -43   137     0   246   246   131   144     -0.368      0.424     -1.107      1.241      0.000
   142        21   (g)                -51   139     0   166   167   130   145      0.068     -0.859      0.469      0.981      0.000
   143        21   (g)                -51   139     0   150   150   145   133     -0.673     -0.058     -0.880      1.109      0.000
   144        21   (g)                -52   140   140   148   149   133   132      0.973      0.492    -42.748     42.762      0.000
   145        21   (g)                -51   110     0   229   229   136   146      4.372      2.331     -2.977      5.780      0.000
   146        21   (g)                -51   110     0   227   228   146   135      0.441     -0.236     -0.224      0.548      0.000
   147        21   (g)                -52   108   108   267   267   135   101      0.787     -0.530     -0.309      0.998      0.000
   148        21   (g)                -51   144     0   245   245   147   132      0.294     -0.268    -25.070     25.073      0.000
   149        21   (g)                -51   144     0   212   213   133   147      0.631      0.756    -17.742     17.769      0.000
   150        21   (g)                -52   143   143   168   168   145   133     -0.625     -0.053     -0.816      1.029      0.000
   151        21   (g)                -51   111     0   197   198   148   136      6.813      0.592     -6.005      9.101      0.000
   152        21   (g)                -51   111     0   199   199   112   148      0.127      0.257     -0.184      0.341      0.000
   153        21   (g)                -52   131   131   162   162   142   112      6.042      0.746    -10.268     11.937      0.000
   154        21   (g)                -51   115     0   263   263   113   149      2.958     -0.921     -3.270      4.505      0.000
   155        21   (g)                -51   115     0   217   217   149   104      2.971      0.701     -3.312      4.505      0.000
   156        21   (g)                -52   133   133   215   216   104   111     24.601      6.338    -36.035     44.089      0.000
   157        21   (g)                -51    75     0   289   289   150   107     -0.561      0.241     -1.401      1.528      0.000
   158        21   (g)                -51    75     0   293   293   120   150     -0.143      1.329     -1.205      1.799      0.000
   159        21   (g)                -53   283   283    69    69   120   116      0.000     -0.000      1.932      1.932      0.000
   160         3   (s)                -51   132     0   271   271   111     0      5.708      1.560     -8.476     10.350      0.500
   161        -3   (sbar)             -51   132     0   275   275     0   142      4.123      0.908     -6.889      8.095      0.500
   162        21   (g)                -52   153   153   257   257   142   112      2.475      0.306     -4.205      4.889      0.000
   163        21   (g)                -51   126     0   171   171   151   140     -0.347      0.481      4.055      4.098      0.000
   164        21   (g)                -51   126     0   169   170   123   151     -0.125      0.297     22.433     22.436      0.000
   165        21   (g)                -52   127   127   192   192   139   123      0.372     -0.103      0.481      0.617      0.000
   166        21   (g)                -51   142     0   205   205   130   152      0.410     -0.679      0.032      0.793      0.000
   167        21   (g)                -51   142     0   203   204   152   145     -0.634     -0.205      0.056      0.668      0.000
   168        21   (g)                -52   150   150   214   214   145   133     -0.333     -0.028     -0.435      0.548      0.000
   169        21   (g)                -51   164     0   194   194   123   153     -0.631      0.534     10.120     10.153      0.000
   170        21   (g)                -51   164     0   195   195   153   151      0.234      0.140     15.493     15.495      0.000
   171        21   (g)                -52   163   163   193   193   151   140     -0.075      0.104      0.875      0.885      0.000
   172        21   (g)                -51    91     0   264   264   154   105      1.022     -0.667      0.905      1.519      0.000
   173        21   (g)                -51    91     0   276   276   118   154      0.358     -0.948      2.144      2.371      0.000
   174        21   (g)                -52   116   116   206   207   137   118     -0.537     -0.486      1.414      1.589      0.000
   175        21   (g)                -51   135     0   183   183   110   155     -0.435     -0.393     -7.499      7.521      0.000
   176        21   (g)                -51   135     0   294   294   155   143     -1.350      0.175     -7.005      7.136      0.000
   177        21   (g)                -52   134   134   288   288   143   119     -0.136     -0.066     -3.971      3.974      0.000
   178        21   (g)                -51    96     0   232   232   156   126     -0.844      1.001      0.512      1.406      0.000
   179        21   (g)                -51    96     0   230   231   127   156      0.183      0.220     -0.562      0.631      0.000
   180        21   (g)                -53   241   241    94    94   127   128      0.000      0.000     -4.106      4.106      0.000
   181        21   (g)                -51   136     0   186   186   138   157     -0.658     -2.413     -4.806      5.418      0.000
   182        21   (g)                -51   136     0   184   185   157   110     -1.039     -0.895     -2.959      3.261      0.000
   183        21   (g)                -52   175   175   292   292   110   155     -0.383     -0.346     -6.593      6.614      0.000
   184        21   (g)                -51   182     0   295   295   158   110     -1.108     -1.137     -3.829      4.145      0.000
   185        21   (g)                -51   182     0   296   296   157   158     -0.507     -1.870     -3.334      3.856      0.000
   186        21   (g)                -52   181   181   290   290   138   157     -0.082     -0.302     -0.601      0.678      0.000
   187         2   (u)                -41   302   302   196    76   159     0      0.000     -0.000    102.596    102.596      0.000
   188        21   (g)                -42   303   303    77    77   122   121      0.000      0.000     -0.866      0.866      0.000
   189         2   (u)                -44   125   125   304   304   140     0      1.140      1.387     39.588     39.630      0.330
   190        21   (g)                -44    97    97   223   223   122   129     -0.054     -0.200     -0.568      0.605      0.000
   191        21   (g)                -44   122   122   220   220   129   139     -0.831     -1.588      4.730      5.058      0.000
   192        21   (g)                -44   165   165   211   211   139   123      0.374     -0.100      0.483      0.619      0.000
   193        21   (g)                -44   171   171   308   308   151   140     -0.072      0.109      0.878      0.888      0.000
   194        21   (g)                -44   169   169   209   210   123   153     -0.595      0.596     10.154     10.189      0.000
   195        21   (g)                -44   170   170   310   310   153   151      0.289      0.235     15.545     15.549      0.000
   196        21   (g)                -43   187     0   311   311   159   121     -0.251     -0.439     30.920     30.924      0.000
   197        21   (g)                -51   151     0   233   234   160   136      5.962      0.976     -5.343      8.065      0.000
   198        21   (g)                -51   151     0   235   235   148   160      0.919     -0.246     -0.760      1.218      0.000
   199        21   (g)                -52   152   152   273   273   112   148      0.059      0.119     -0.086      0.158      0.000
   200        21   (g)                -51    95     0   239   240   161   128      0.633     -1.342     -2.017      2.504      0.000
   201        21   (g)                -51    95     0   321   321   125   161      0.028      0.121     -0.797      0.807      0.000
   202        21   (g)                -53   316   316    93    93   125   126     -0.000      0.000      1.241      1.241      0.000
   203        21   (g)                -51   167     0   249   249   162   145     -0.305     -0.837      0.299      0.940      0.000
   204        21   (g)                -51   167     0   250   250   152   162     -0.044      0.162     -0.221      0.278      0.000
   205        21   (g)                -52   166   166   244   244   130   152      0.126     -0.209      0.010      0.244      0.000
   206        21   (g)                -51   174     0   259   259   163   118     -0.062      0.177      0.250      0.313      0.000
   207        21   (g)                -51   174     0   278   278   137   163     -1.491     -0.584      5.365      5.598      0.000
   208        21   (g)                -52   117   117   270   270   134   137     -2.037      0.157      8.428      8.672      0.000
   209        21   (g)                -51   194     0   309   309   164   153     -0.384     -0.027      1.410      1.462      0.000
   210        21   (g)                -51   194     0   226   226   123   164     -0.108      0.596      8.876      8.897      0.000
   211        21   (g)                -52   192   192   218   219   139   123      0.271     -0.073      0.350      0.449      0.000
   212        21   (g)                -51   149     0   248   248   165   147      0.544      0.958    -13.144     13.191      0.000
   213        21   (g)                -51   149     0   251   251   133   165      0.018     -0.208     -4.687      4.692      0.000
   214        21   (g)                -52   168   168   247   247   145   133     -0.264     -0.023     -0.345      0.435      0.000
   215        21   (g)                -51   156     0   261   261   166   111     18.492      5.135    -27.309     33.378      0.000
   216        21   (g)                -51   156     0   279   279   104   166      6.840      1.376     -9.541     11.820      0.000
   217        21   (g)                -52   155   155   274   274   149   104      2.240      0.528     -2.497      3.396      0.000
   218        21   (g)                -51   211     0   224   225   167   123     -0.046     -0.016     -0.058      0.076      0.000
   219        21   (g)                -51   211     0   313   313   139   167     -0.109     -0.872      2.834      2.967      0.000
   220        21   (g)                -52   191   191   221   222   129   139     -0.405     -0.774      2.304      2.464      0.000
   221        21   (g)                -51   220     0   306   306   168   139     -0.174     -0.963      1.998      2.224      0.000
   222        21   (g)                -51   220     0   314   314   129   168     -0.241      0.153      0.203      0.350      0.000
   223        21   (g)                -52   190   190   305   305   122   129     -0.044     -0.163     -0.464      0.494      0.000
   224        21   (g)                -51   218     0   307   307   167   169     -0.072      0.270      0.208      0.348      0.000
   225        21   (g)                -51   218     0   315   315   169   123     -0.011     -0.080      2.791      2.792      0.000
   226        21   (g)                -52   210   210   312   312   123   164     -0.071      0.391      5.819      5.832      0.000
   227        21   (g)                -51   146     0   272   272   170   135      0.456      0.168     -0.771      0.912      0.000
   228        21   (g)                -51   146     0   280   280   146   170      1.335      0.315     -0.373      1.422      0.000
   229        21   (g)                -52   145   145   262   262   136   146      3.022      1.611     -2.058      3.995      0.000
   230        21   (g)                -51   179     0   320   320   127   171     -0.206      0.167      0.270      0.378      0.000
   231        21   (g)                -51   179     0   322   322   171   156      0.075      0.425     -0.643      0.774      0.000
   232        21   (g)                -52   178   178   319   319   156   126     -0.531      0.629      0.322      0.884      0.000
   233        21   (g)                -51   197     0   268   268   172   136      3.089      0.779     -2.622      4.126      0.000
   234        21   (g)                -51   197     0   281   281   160   172      3.478      0.035     -3.221      4.741      0.000
   235        21   (g)                -52   198   198   277   277   148   160      0.314     -0.084     -0.260      0.416      0.000
   236        21   (g)                -51   118     0   266   266   173   134      0.038      0.147      5.485      5.487      0.000
   237        21   (g)                -51   118     0   282   282   106   173     -0.813      0.166      5.564      5.625      0.000
   238        21   (g)                -52   106   106   265   265   124   106     -0.417      0.956     12.569     12.612      0.000
   239        21   (g)                -51   200     0   318   318   161   174      0.217     -0.672     -0.537      0.887      0.000
   240        21   (g)                -51   200     0   323   323   174   128      0.416     -0.670     -2.206      2.342      0.000
   241        21   (g)                -53   317   317   180   180   127   128     -0.000      0.000     -4.831      4.831      0.000
   242        21   (g)                -41   324   324   252   137   130   175     -0.000     -0.000     23.518     23.518      0.000
   243        21   (g)                -42   325   325   138   138   131   132     -0.000      0.000    -45.179     45.179      0.000
   244        21   (g)                -44   205   205   326   326   130   152      0.072     -0.208      0.031      0.223      0.000
   245        21   (g)                -44   148   148   327   327   147   132      0.293     -0.268    -24.983     24.986      0.000
   246        21   (g)                -44   141   141   328   328   131   144     -0.397      0.424     -1.188      1.322      0.000
   247        21   (g)                -44   214   214   329   329   145   133     -0.283     -0.022     -0.403      0.493      0.000
   248        21   (g)                -44   212   212   330   330   165   147      0.534      0.959    -13.018     13.065      0.000
   249        21   (g)                -44   203   203   331   331   162   145     -0.570     -0.835      0.207      1.032      0.000
   250        21   (g)                -44   204   204   332   332   152   162     -0.056      0.162     -0.231      0.288      0.000
   251        21   (g)                -44   213   213   333   333   133   165      0.017     -0.208     -4.679      4.683      0.000
   252        21   (g)                -43   242     0   334   334   144   175      0.390     -0.003     22.601     22.605      0.000
   253         2   (u)                -61     1     0    80    80   124     0     -2.309      0.615    220.319    220.332      0.000
   254        -2   (ubar)             -61     2     0    81    81     0   102     -0.552      0.644   -320.931    320.932      0.000
   255         6   (t)                -62   109   109   339   340   101     0      6.778      3.488    -29.707    180.610    177.987
   256        -6   (tbar)             -62    83    83   341   342     0   102    -65.522    -15.162     -4.287    174.688    161.166
   257        21   (g)                -62   162   162   438     0   142   112      2.463      0.316     -4.195      4.875      0.000
   258         1   (d)                -62   113   113   469   469   105     0      3.087     -0.188      3.028      4.340      0.330
   259        21   (g)                -62   206   206   472   472   163   118     -0.065      0.178      0.250      0.313      0.000
   260        22   gamma               62    87    87     0     0     0     0     -3.343      1.598    -40.958     41.126      0.000
   261        21   (g)                -62   215   215   492   492   166   111     18.409      5.204    -27.230     33.278      0.000
   262        21   (g)                -62   229   229   453   453   136   146      3.007      1.620     -2.045      3.981      0.000
   263        21   (g)                -62   154   154   495   495   113   149      2.945     -0.911     -3.257      4.484      0.000
   264        21   (g)                -62   172   172   470   470   154   105      1.009     -0.663      0.909      1.511      0.000
   265        21   (g)                -62   238   238   477   477   124   106     -0.549      0.991     12.566     12.617      0.000
   266        21   (g)                -62   236   236   475   475   173   134     -0.019      0.162      5.485      5.487      0.000
   267        21   (g)                -62   147   147   450   450   135   101      0.782     -0.528     -0.306      0.992      0.000
   268        21   (g)                -62   233   233   454   454   172   136      3.075      0.788     -2.609      4.109      0.000
   269        -1   (dbar)             -62   114   114   496   496     0   113      4.854      0.499      2.269      5.391      0.330
   270        21   (g)                -62   208   208   474   474   134   137     -2.127      0.182      8.419      8.685      0.000
   271         3   (s)                -62   160   160   491   491   111     0      5.682      1.582     -8.452     10.319      0.500
   272        21   (g)                -62   227   227   451   451   170   135      0.454      0.170     -0.769      0.909      0.000
   273        21   (g)                -62   199   199   439     0   112   148      0.059      0.120     -0.085      0.158      0.000
   274        21   (g)                -62   217   217   494   494   149   104      2.230      0.536     -2.488      3.384      0.000
   275        -3   (sbar)             -62   161   161   438     0     0   142      4.104      0.924     -6.871      8.072      0.500
   276        21   (g)                -62   173   173   471   471   118   154      0.334     -0.941      2.146      2.367      0.000
   277        21   (g)                -62   235   235   439     0   148   160      0.313     -0.083     -0.258      0.414      0.000
   278        21   (g)                -62   207   207   473   473   137   163     -1.548     -0.569      5.358      5.606      0.000
   279        21   (g)                -62   216   216   493   493   104   166      6.809      1.400     -9.512     11.781      0.000
   280        21   (g)                -62   228   228   452   452   146   170      1.328      0.319     -0.367      1.415      0.000
   281        21   (g)                -62   234   234   455   455   160   172      3.463      0.045     -3.206      4.720      0.000
   282        21   (g)                -62   237   237   476   476   106   173     -0.871      0.182      5.560      5.631      0.000
   283        21   (g)                -61     1     0   159   159   168   116      2.190     -1.556      0.970      2.857      0.000
   284        21   (g)                -61     2     0    70    70   102   114     -1.503      0.940    -36.717     36.759      0.000
   285        21   (g)                -62   119   119   435     0   107   171      0.042      0.344     -0.938      1.000      0.000
   286        21   (g)                -62   130   130   569   569   109   108      3.218      0.765     -3.404      4.746      0.000
   287        21   (g)                -62   128   128   567   567   141   174      1.293      0.143     -5.256      5.414      0.000
   288        21   (g)                -62   177   177   511   511   143   114     -0.291      0.031     -3.823      3.834      0.000
   289        21   (g)                -62   157   157   436     0   150   131     -0.530      0.215     -0.971      1.127      0.000
   290        21   (g)                -62   186   186   433     0   138   157     -0.067     -0.315     -0.681      0.754      0.000
   291        21   (g)                -62   129   129   568   568   108   141      0.473      0.150     -0.135      0.515      0.000
   292        21   (g)                -62   183   183   513   513   110   155     -0.632     -0.191     -6.358      6.392      0.000
   293        21   (g)                -62   158   158   612   612   120   117      0.158      1.111     -0.686      1.315      0.000
   294        21   (g)                -62   176   176   512   512   155   143     -1.524      0.277     -6.007      6.204      0.000
   295        21   (g)                -62   184   184   514   514   158   110     -1.081     -1.169     -3.634      3.967      0.000
   296        21   (g)                -62   185   185   433     0   157   158     -0.373     -1.979     -3.853      4.347      0.000
   297        -1   (dbar)             -61     1     0    55    55     0   114     -0.915      1.284      2.364      2.841      0.000
   298        21   (g)                -61     2     0    56    56   114   115      1.083      0.925     -8.866      8.980      0.000
   299        -1   (dbar)             -62    57    57   444   444     0   115     -0.803     -1.503      0.860      1.937      0.330
   300        -4   (cbar)             -62    58    58   434     0     0   152      0.515      4.504     -5.961      7.638      1.500
   301         4   (c)                -62    59    59   611   611   117     0      0.455     -0.792     -1.401      2.247      1.500
   302         2   (u)                -61     1     0   187   187   114     0     -0.692     -2.225    103.875    103.901      0.000
   303        21   (g)                -61     2     0   188   188   115   114      0.495     -1.611     -0.056      1.686      0.000
   304         2   (u)                -62   189   189   443   443   115     0      0.889      0.511     39.160     39.175      0.330
   305        21   (g)                -62   223   223   428     0   122   130      0.229     -1.058      0.122      1.090      0.000
   306        21   (g)                -62   221   221   426     0   168   139     -0.128     -1.238      2.965      3.216      0.000
   307        21   (g)                -62   224   224   422     0   167   156     -0.033      0.139      0.008      0.143      0.000
   308        21   (g)                -62   193   193   424     0   151   164     -0.074      0.084      0.772      0.780      0.000
   309        21   (g)                -62   209   209   615   615   164   162     -0.378     -0.105      1.364      1.419      0.000
   310        21   (g)                -62   195   195   618   618   153   144      0.186     -0.103     15.609     15.611      0.000
   311        21   (g)                -62   196   196   423     0   159   153     -0.460     -1.121     31.638     31.662      0.000
   312        21   (g)                -62   226   226   424     0   123   151     -0.104      0.260      5.517      5.524      0.000
   313        21   (g)                -62   219   219   426     0   139   169     -0.095     -1.075      3.703      3.857      0.000
   314        21   (g)                -62   222   222   427     0   129   127     -0.199      0.014      0.063      0.209      0.000
   315        21   (g)                -62   225   225   423     0   169   159     -0.030     -0.143      2.897      2.900      0.000
   316        21   (g)                -61     1     0   202   202   128   128      0.201      1.175      0.876      1.479      0.000
   317        21   (g)                -61     2     0   241   241   126   126      0.129     -1.094     -4.475      4.608      0.000
   318        21   (g)                -62   239   239   430     0   161   122      0.263     -0.593     -0.156      0.667      0.000
   319        21   (g)                -62   232   232   425     0   156   120     -0.425      1.069     -0.169      1.163      0.000
   320        21   (g)                -62   230   230   422     0   127   167     -0.152      0.444      0.095      0.479      0.000
   321        21   (g)                -62   201   201   429     0   125   109      0.051     -0.070     -0.812      0.817      0.000
   322        21   (g)                -62   231   231   435     0   171   138      0.106      0.277     -0.863      0.913      0.000
   323        21   (g)                -62   240   240   566   566   174   161      0.488     -1.047     -1.693      2.049      0.000
   324        21   (g)                -61     1     0   242   242   132   132      0.525      0.909     23.511     23.534      0.000
   325        21   (g)                -61     2     0   243   243   175   175      0.308      0.332    -45.178     45.181      0.000
   326        21   (g)                -62   244   244   428     0   130   116      0.075     -0.203      0.034      0.219      0.000
   327        21   (g)                -62   245   245   432     0   147   133      0.463     -0.084    -24.980     24.985      0.000
   328        21   (g)                -62   246   246   437     0   131   107     -0.387      0.436     -1.191      1.326      0.000
   329        21   (g)                -62   247   247   436     0   145   150     -0.279     -0.017     -0.400      0.488      0.000
   330        21   (g)                -62   248   248   571   571   102   147      0.624      1.055    -13.037     13.095      0.000
   331        21   (g)                -62   249   249   427     0   162   129     -0.553     -0.809      0.225      1.005      0.000
   332        21   (g)                -62   250   250   434     0   152   145     -0.054      0.166     -0.234      0.291      0.000
   333        21   (g)                -62   251   251   429     0   133   125      0.049     -0.174     -4.675      4.679      0.000
   334        21   (g)                -62   252   252   617   617   144   123      0.895      0.871     22.592     22.626      0.000
   335      2101   (ud_0)             -63     1     0   621   621     0   168      0.425     -0.059    615.024    615.024      0.579
   336         1   (d)                -63     1     0   564   564   116     0      0.587     -0.111      0.801      1.052      0.330
   337        -2   (ubar)             -63     1     0   478   478     0   124     -0.012     -0.030      9.655      9.661      0.330
   338     -2101   (ud_0bar)          -63     2     0   510   510   114     0      0.040     -0.136   -561.172    561.172      0.579
   339        24   (W+)               -22   255     0   370   371     0     0    -43.493    -14.687     33.196     97.922     79.871
   340         5   (b)                -23   255     0   449   449   101     0     50.270     18.175    -62.903     82.688      4.800
   341       -24   (W-)               -22   256     0   345   345     0     0    -73.207     30.517    -35.848    118.432     80.315
   342        -5   (bbar)             -23   256     0   343   344     0   102      7.685    -45.679     31.560     56.256      4.800
   343        -5   (bbar)             -51   342     0   346   347     0   190      1.388     -8.631     15.187     18.169      4.800
   344        21   (g)                -51   342     0   348   348   190   102      4.956    -36.004     15.399     39.471      0.000
   345       -24   (W-)               -56   341   341   417   418     0     0    -71.867     29.473    -34.874    117.047     80.315
   346        -5   (bbar)             -51   343     0   351   351     0   191      3.859     -9.862     14.878     18.882      4.800
   347        21   (g)                -51   343     0   352   353   191   190     -1.716     -4.257      2.657      5.304      0.000
   348        21   (g)                -52   344   344   349   350   190   102      4.201    -30.516     13.052     33.454      0.000
   349        21   (g)                -51   348     0   354   354   190   192      0.030     -4.626      1.253      4.793      0.000
   350        21   (g)                -51   348     0   358   359   192   102      4.258    -26.002     12.151     29.015      0.000
   351        -5   (bbar)             -52   346   346   357   357     0   191      3.772     -9.750     14.526     18.529      4.800
   352        21   (g)                -51   347     0   355   356   191   193     -1.133     -5.303      1.564      5.644      0.000
   353        21   (g)                -51   347     0   576   576   193   190     -0.562     -2.087      1.942      2.905      0.000
   354        21   (g)                -52   349   349   575   575   190   192      0.010     -1.494      0.405      1.548      0.000
   355        21   (g)                -51   352     0   577   577   194   193      0.318     -1.054      1.433      1.807      0.000
   356        21   (g)                -51   352     0   367   368   191   194     -1.086     -4.732      1.204      5.002      0.000
   357        -5   (bbar)             -52   351   351   360   360     0   191      3.408     -9.266     13.452     17.363      4.800
   358        21   (g)                -51   350     0   363   363   192   195      2.276    -10.108      5.240     11.611      0.000
   359        21   (g)                -51   350     0   361   362   195   102      2.010    -15.921      7.039     17.523      0.000
   360        -5   (bbar)             -52   357   357   366   366     0   191      3.379     -9.239     13.324     17.244      4.800
   361        21   (g)                -51   359     0   364   365   196   102      0.232     -4.119      1.711      4.466      0.000
   362        21   (g)                -51   359     0   431     0   195   196      2.938    -16.957      8.000     18.979      0.000
   363        21   (g)                -52   358   358   574   574   192   195      1.115     -4.953      2.568      5.689      0.000
   364        21   (g)                -51   361     0   431     0   196   197      0.695     -2.888      1.422      3.293      0.000
   365        21   (g)                -51   361     0   572   572   197   102     -0.361     -1.331      0.650      1.524      0.000
   366        -5   (bbar)             -52   360   360   369   369     0   191      3.277     -9.139     12.963     16.892      4.800
   367        21   (g)                -51   356     0   578   578   198   194     -0.806     -2.210      0.972      2.545      0.000
   368        21   (g)                -51   356     0   579   579   191   198     -0.223     -2.597      0.400      2.637      0.000
   369        -5   (bbar)             -52   366   366   580   580     0   191      3.220     -9.065     12.796     16.713      4.800
   370        -1   (dbar)             -23   339     0   372   373     0   103     14.236      8.287     31.753     35.773      0.330
   371         2   (u)                -23   339     0   374   374   103     0    -57.728    -22.974      1.443     62.150      0.330
   372        -1   (dbar)             -51   370     0   378   379     0   200     11.612      5.717     14.520     19.454      0.330
   373        21   (g)                -51   370     0   377   377   200   103      1.560      2.147     17.259     17.462      0.000
   374         2   (u)                -52   371   371   375   376   103     0    -56.666    -22.551      1.417     61.005      0.330
   375         2   (u)                -51   374     0   381   382   201     0    -37.598    -13.188      2.932     39.953      0.330
   376        21   (g)                -51   374     0   383   383   103   201    -19.049     -9.338     -1.314     21.256      0.000
   377        21   (g)                -52   373   373   380   380   200   103      1.542      2.122     17.058     17.259      0.000
   378        -1   (dbar)             -51   372     0   390   391     0   202     12.213      5.377     16.337     21.097      0.330
   379        21   (g)                -51   372     0   392   392   202   200     -0.308      0.742      1.412      1.624      0.000
   380        21   (g)                -52   377   377   384   385   200   103      1.250      1.721     13.830     13.992      0.000
   381         2   (u)                -51   375     0   413   413   203     0    -30.788     -9.964      1.465     32.395      0.330
   382        21   (g)                -51   375     0   401   401   201   203    -13.055     -6.285      1.037     14.526      0.000
   383        21   (g)                -52   376   376   386   386   103   201    -12.805     -6.277     -0.884     14.289      0.000
   384        21   (g)                -51   380     0   398   398   200   204      0.639      2.571     12.583     12.859      0.000
   385        21   (g)                -51   380     0   389   389   204   103      0.169     -1.068      1.216      1.627      0.000
   386        21   (g)                -52   383   383   387   388   103   201    -12.363     -6.061     -0.853     13.795      0.000
   387        21   (g)                -51   386     0   399   400   205   201    -10.531     -5.097     -1.452     11.789      0.000
   388        21   (g)                -51   386     0   393   394   103   205     -1.803     -1.147      0.807      2.284      0.000
   389        21   (g)                -52   385   385   395   395   204   103      0.140     -0.885      1.008      1.348      0.000
   390        -1   (dbar)             -51   378     0   546   546     0   206     11.056      5.269     14.175     18.736      0.330
   391        21   (g)                -51   378     0   545   545   206   202      1.091      0.266      2.463      2.707      0.000
   392        21   (g)                -52   379   379   402   403   202   200     -0.243      0.584      1.111      1.279      0.000
   393        21   (g)                -51   388     0   407   407   207   205     -0.921     -0.027      0.437      1.019      0.000
   394        21   (g)                -51   388     0   408   409   103   207     -0.796     -1.662      0.988      2.091      0.000
   395        21   (g)                -52   389   389   396   397   204   103      0.054     -0.343      0.390      0.522      0.000
   396        21   (g)                -51   395     0   410   410   208   103     -0.413     -0.194      1.341      1.416      0.000
   397        21   (g)                -51   395     0   441     0   204   208      0.669      0.664      3.024      3.167      0.000
   398        21   (g)                -52   384   384   404   404   200   204      0.437      1.759      8.609      8.798      0.000
   399        21   (g)                -51   387     0   405   406   205   209     -7.091     -3.431     -0.050      7.878      0.000
   400        21   (g)                -51   387     0   536   536   209   201     -6.308     -3.046     -1.174      7.103      0.000
   401        21   (g)                -52   382   382   411   412   201   203    -10.187     -4.904      0.809     11.335      0.000
   402        21   (g)                -51   392     0   544   544   202   210      0.409      0.612      3.628      3.702      0.000
   403        21   (g)                -51   392     0   543   543   210   200     -0.367      1.119      3.094      3.311      0.000
   404        21   (g)                -52   398   398   441     0   200   204      0.152      0.613      2.998      3.064      0.000
   405        21   (g)                -51   399     0   537   537   212   209     -6.441     -2.643     -0.006      6.962      0.000
   406        21   (g)                -51   399     0   538   538   205   212     -0.937     -0.796      0.092      1.233      0.000
   407        21   (g)                -52   393   393   414   415   207   205     -0.634     -0.019      0.301      0.702      0.000
   408        21   (g)                -51   394     0   416   416   214   207     -1.095     -1.699      1.326      2.418      0.000
   409        21   (g)                -51   394     0   440     0   103   214      0.132     -0.042      0.206      0.248      0.000
   410        21   (g)                -52   396   396   440     0   208   103     -0.245     -0.116      0.797      0.842      0.000
   411        21   (g)                -51   401     0   535   535   201   216     -6.786     -2.568      0.090      7.256      0.000
   412        21   (g)                -51   401     0   534   534   216   203     -7.849     -3.768      0.929      8.756      0.000
   413         2   (u)                -52   381   381   533   533   203     0    -26.340     -8.532      1.255     27.717      0.330
   414        21   (g)                -51   407     0   539   539   217   205     -1.248     -1.111      1.168      2.039      0.000
   415        21   (g)                -51   407     0   442     0   207   217     -0.042      0.074     -0.073      0.112      0.000
   416        21   (g)                -52   408   408   442     0   214   207     -0.439     -0.681      0.531      0.968      0.000
   417        13   (mu-)              -23   345     0   419   420     0     0      2.246     37.151    -11.180     38.861      0.106
   418       -14   (nu_mubar)         -23   345     0   421   421     0     0    -74.113     -7.677    -23.694     78.186      0.000
   419        13   mu-                 51   417     0     0     0     0     0      1.912     34.156    -10.008     35.644      0.106
   420        22   gamma               51   417     0     0     0     0     0      0.320      2.993     -1.177      3.232      0.000
   421       -14   nu_mubar            52   418   418     0     0     0     0    -74.100     -7.676    -23.689     78.172      0.000
   422        21   (g)                -73   307   320   425     0   127   156     -0.184      0.583      0.102      0.622      0.046
   423        21   (g)                -73   311   315   619   619   169   153     -0.490     -1.264     34.535     34.562      0.139
   424        21   (g)                -73   308   312   616   616   123   164     -0.179      0.343      6.289      6.304      0.202
   425        21   (g)                -73   319   422   613   613   127   120     -0.609      1.652     -0.066      1.784      0.281
   426        21   (g)                -73   306   313   620   620   168   169     -0.223     -2.313      6.669      7.073      0.401
   427        21   (g)                -73   314   331   614   614   162   127     -0.752     -0.794      0.288      1.215      0.442
   428        21   (g)                -73   305   326   430     0   122   116      0.305     -1.261      0.156      1.309      0.072
   429        21   (g)                -73   321   333   432     0   133   109      0.100     -0.244     -5.488      5.496      0.139
   430        21   (g)                -73   318   428   565   565   161   116      0.568     -1.854     -0.000      1.976      0.381
   431        21   (g)                -73   362   364   573   573   195   197      3.634    -19.845      9.422     22.272      0.471
   432        21   (g)                -73   327   429   570   570   147   109      0.563     -0.328    -30.468     30.480      0.581
   433        21   (g)                -73   290   296   515   515   138   158     -0.440     -2.293     -4.534      5.100      0.075
   434        -4   (cbar)             -73   300   332   518   518     0   145      0.461      4.669     -6.195      7.929      1.575
   435        21   (g)                -73   285   322   516   516   107   138      0.148      0.621     -1.801      1.913      0.080
   436        21   (g)                -73   289   329   437     0   145   131     -0.809      0.198     -1.371      1.615      0.187
   437        21   (g)                -73   328   436   517   517   145   107     -1.196      0.634     -2.562      2.942      0.504
   438        -3   (sbar)             -73   257   275   457   457     0   112      6.567      1.240    -11.066     12.947      0.709
   439        21   (g)                -73   273   277   456   456   112   160      0.372      0.036     -0.344      0.573      0.265
   440        21   (g)                -73   409   410   541   541   208   214     -0.114     -0.157      1.003      1.090      0.380
   441        21   (g)                -73   397   404   542   542   200   208      0.821      1.277      6.022      6.231      0.509
   442        21   (g)                -73   415   416   540   540   214   217     -0.481     -0.606      0.459      1.081      0.598
   443         2   (u)                -71   304   304   445   448   115     0      0.889      0.511     39.160     39.175      0.330
   444        -1   (dbar)             -71   299   299   445   448     0   115     -0.803     -1.503      0.860      1.937      0.330
   445       113   (rho0)             -83   443   444   642   643     0     0      0.243     -0.178     15.131     15.163      0.937
   446       321   K+                  83   443   444     0     0     0     0      0.399      0.343     15.153     15.170      0.494
   447       333   (phi)              -84   443   444   706   707     0     0      0.458      0.083      8.771      8.844      1.027
   448      -311   (Kbar0)            -84   443   444   644   644     0     0     -1.013     -1.241      0.965      1.935      0.498
   449         5   (b)                -71   340   340   458   468   101     0     50.270     18.175    -62.903     82.688      4.800
   450        21   (g)                -71   267   267   458   468   135   101      0.782     -0.528     -0.306      0.992      0.000
   451        21   (g)                -71   272   272   458   468   170   135      0.454      0.170     -0.769      0.909      0.000
   452        21   (g)                -71   280   280   458   468   146   170      1.328      0.319     -0.367      1.415      0.000
   453        21   (g)                -71   262   262   458   468   136   146      3.007      1.620     -2.045      3.981      0.000
   454        21   (g)                -71   268   268   458   468   172   136      3.075      0.788     -2.609      4.109      0.000
   455        21   (g)                -71   281   281   458   468   160   172      3.463      0.045     -3.206      4.720      0.000
   456        21   (g)                -71   439   439   458   468   112   160      0.372      0.036     -0.344      0.573      0.265
   457        -3   (sbar)             -71   438   438   458   468     0   112      6.567      1.240    -11.066     12.947      0.709
   458      -513   (B*bar0)           -83   449   457   708   709     0     0     46.649     17.066    -58.675     77.062      5.325
   459      -211   pi-                 83   449   457     0     0     0     0      3.724      0.596     -3.330      5.033      0.140
   460       213   (rho+)             -83   449   457   645   646     0     0      1.821      1.159     -2.075      3.309      1.408
   461       111   (pi0)              -83   449   457   710   711     0     0      4.357      0.258     -3.915      5.865      0.135
   462       111   (pi0)              -84   449   457   712   713     0     0      1.415      0.675     -0.656      1.705      0.135
   463      -213   (rho-)             -84   449   457   647   648     0     0      2.446      0.882     -2.491      3.691      0.812
   464       111   (pi0)              -84   449   457   714   715     0     0      0.813     -0.120     -0.914      1.237      0.135
   465       111   (pi0)              -84   449   457   716   717     0     0      0.134     -0.076     -0.133      0.244      0.135
   466       221   (eta)              -84   449   457   718   720     0     0      1.040      0.182     -1.742      2.109      0.548
   467       211   pi+                 84   449   457     0     0     0     0      5.691      0.911     -8.498     10.269      0.140
   468       311   (K0)               -84   449   457   649   649     0     0      1.228      0.332     -1.187      1.809      0.498
   469         1   (d)                -71   258   258   479   490   105     0      3.087     -0.188      3.028      4.340      0.330
   470        21   (g)                -71   264   264   479   490   154   105      1.009     -0.663      0.909      1.511      0.000
   471        21   (g)                -71   276   276   479   490   118   154      0.334     -0.941      2.146      2.367      0.000
   472        21   (g)                -71   259   259   479   490   163   118     -0.065      0.178      0.250      0.313      0.000
   473        21   (g)                -71   278   278   479   490   137   163     -1.548     -0.569      5.358      5.606      0.000
   474        21   (g)                -71   270   270   479   490   134   137     -2.127      0.182      8.419      8.685      0.000
   475        21   (g)                -71   266   266   479   490   173   134     -0.019      0.162      5.485      5.487      0.000
   476        21   (g)                -71   282   282   479   490   106   173     -0.871      0.182      5.560      5.631      0.000
   477        21   (g)                -71   265   265   479   490   124   106     -0.549      0.991     12.566     12.617      0.000
   478        -2   (ubar)             -71   337   337   479   490     0   124     -0.012     -0.030      9.655      9.661      0.330
   479       111   (pi0)              -83   469   478   721   722     0     0      0.378     -0.100      0.245      0.481      0.135
   480      -211   pi-                 83   469   478     0     0     0     0      1.560     -0.100      1.591      2.235      0.140
   481       211   pi+                 83   469   478     0     0     0     0      0.299      0.209      0.173      0.427      0.140
   482      -213   (rho-)             -83   469   478   650   651     0     0      1.417     -1.030      2.652      3.216      0.488
   483       211   pi+                 83   469   478     0     0     0     0      0.609     -0.214      0.506      0.832      0.140
   484       331   (eta')             -83   469   478   723   725     0     0     -0.075     -0.447      2.756      2.953      0.959
   485       311   (K0)               -84   469   478   652   652     0     0     -1.740     -0.054      9.461      9.632      0.498
   486      -321   K-                  84   469   478     0     0     0     0     -0.357      0.486      3.160      3.255      0.494
   487       321   K+                  84   469   478     0     0     0     0     -1.622     -0.324      6.343      6.574      0.494
   488       331   (eta')             -84   469   478   726   728     0     0     -0.508      0.271     10.655     10.714      0.958
   489      -313   (K*bar0)           -84   469   478   653   654     0     0     -0.394      0.453     11.328     11.380      0.903
   490      -211   pi-                 84   469   478     0     0     0     0     -0.328      0.155      4.505      4.521      0.140
   491         3   (s)                -71   271   271   497   509   111     0      5.682      1.582     -8.452     10.319      0.500
   492        21   (g)                -71   261   261   497   509   166   111     18.409      5.204    -27.230     33.278      0.000
   493        21   (g)                -71   279   279   497   509   104   166      6.809      1.400     -9.512     11.781      0.000
   494        21   (g)                -71   274   274   497   509   149   104      2.230      0.536     -2.488      3.384      0.000
   495        21   (g)                -71   263   263   497   509   113   149      2.945     -0.911     -3.257      4.484      0.000
   496        -1   (dbar)             -71   269   269   497   509     0   113      4.854      0.499      2.269      5.391      0.330
   497      -311   (Kbar0)            -83   491   496   655   655     0     0     14.853      3.821    -21.940     26.773      0.498
   498      -211   pi-                 83   491   496     0     0     0     0      3.597      1.294     -4.798      6.136      0.140
   499       113   (rho0)             -83   491   496   656   657     0     0      8.040      1.758    -11.460     14.132      0.808
   500       111   (pi0)              -83   491   496   729   730     0     0      2.016      0.645     -3.455      4.054      0.135
   501       211   pi+                 83   491   496     0     0     0     0      1.296      0.231     -1.678      2.137      0.140
   502      -213   (rho-)             -83   491   496   658   659     0     0      3.857      0.636     -4.494      6.003      0.748
   503       211   pi+                 83   491   496     0     0     0     0      0.783     -0.262     -1.064      1.354      0.140
   504      -211   pi-                 83   491   496     0     0     0     0      0.140      0.027     -0.106      0.226      0.140
   505       111   (pi0)              -83   491   496   731   732     0     0      1.267      0.763      0.322      1.520      0.135
   506       213   (rho+)             -83   491   496   660   661     0     0      1.552     -0.470     -0.441      1.861      0.800
   507       311   (K0)               -83   491   496   662   662     0     0      0.568     -0.363     -0.584      1.021      0.498
   508      -323   (K*-)              -84   491   496   663   664     0     0      2.640      0.496      0.935      2.969      0.851
   509       211   pi+                 84   491   496     0     0     0     0      0.322     -0.267      0.093      0.450      0.140
   510     -2101   (ud_0bar)          -71   338   338   519   532   114     0      0.040     -0.136   -561.172    561.172      0.579
   511        21   (g)                -71   288   288   519   532   143   114     -0.291      0.031     -3.823      3.834      0.000
   512        21   (g)                -71   294   294   519   532   155   143     -1.524      0.277     -6.007      6.204      0.000
   513        21   (g)                -71   292   292   519   532   110   155     -0.632     -0.191     -6.358      6.392      0.000
   514        21   (g)                -71   295   295   519   532   158   110     -1.081     -1.169     -3.634      3.967      0.000
   515        21   (g)                -71   433   433   519   532   138   158     -0.440     -2.293     -4.534      5.100      0.075
   516        21   (g)                -71   435   435   519   532   107   138      0.148      0.621     -1.801      1.913      0.080
   517        21   (g)                -71   437   437   519   532   145   107     -1.196      0.634     -2.562      2.942      0.504
   518        -4   (cbar)             -71   434   434   519   532     0   145      0.461      4.669     -6.195      7.929      1.575
   519     -2212   pbar-               83   510   518     0     0     0     0      0.149      0.195   -352.948    352.950      0.938
   520       113   (rho0)             -83   510   518   665   666     0     0     -0.145     -0.608   -162.679    162.682      0.722
   521       211   pi+                 83   510   518     0     0     0     0     -0.197      0.354     -3.349      3.376      0.140
   522      -213   (rho-)             -83   510   518   667   668     0     0     -0.570      0.211    -41.494     41.505      0.772
   523       211   pi+                 83   510   518     0     0     0     0     -0.005     -0.036     -0.167      0.221      0.140
   524       111   (pi0)              -83   510   518   733   734     0     0     -0.679      0.374     -6.914      6.958      0.135
   525      2112   n0                  84   510   518     0     0     0     0     -1.425     -0.945     -9.528      9.726      0.940
   526     -2112   nbar0               84   510   518     0     0     0     0     -0.174     -1.327     -3.596      3.951      0.940
   527       331   (eta')             -84   510   518   735   737     0     0     -0.631     -0.249     -3.168      3.379      0.958
   528       111   (pi0)              -84   510   518   738   739     0     0      0.177     -0.203     -0.864      0.915      0.135
   529      1114   (Delta-)           -84   510   518   669   670     0     0     -1.025     -0.235     -3.152      3.638      1.482
   530       211   pi+                 84   510   518     0     0     0     0     -0.047      0.055     -0.069      0.172      0.140
   531     -2212   pbar-               84   510   518     0     0     0     0      0.311      1.250     -2.664      3.104      0.938
   532      -423   (D*bar0)           -84   510   518   740   741     0     0     -0.253      3.608     -5.494      6.877      2.007
   533         2   (u)                -71   413   413   547   563   203     0    -26.340     -8.532      1.255     27.717      0.330
   534        21   (g)                -71   412   412   547   563   216   203     -7.849     -3.768      0.929      8.756      0.000
   535        21   (g)                -71   411   411   547   563   201   216     -6.786     -2.568      0.090      7.256      0.000
   536        21   (g)                -71   400   400   547   563   209   201     -6.308     -3.046     -1.174      7.103      0.000
   537        21   (g)                -71   405   405   547   563   212   209     -6.441     -2.643     -0.006      6.962      0.000
   538        21   (g)                -71   406   406   547   563   205   212     -0.937     -0.796      0.092      1.233      0.000
   539        21   (g)                -71   414   414   547   563   217   205     -1.248     -1.111      1.168      2.039      0.000
   540        21   (g)                -71   442   442   547   563   214   217     -0.481     -0.606      0.459      1.081      0.598
   541        21   (g)                -71   440   440   547   563   208   214     -0.114     -0.157      1.003      1.090      0.380
   542        21   (g)                -71   441   441   547   563   200   208      0.821      1.277      6.022      6.231      0.509
   543        21   (g)                -71   403   403   547   563   210   200     -0.367      1.119      3.094      3.311      0.000
   544        21   (g)                -71   402   402   547   563   202   210      0.409      0.612      3.628      3.702      0.000
   545        21   (g)                -71   391   391   547   563   206   202      1.091      0.266      2.463      2.707      0.000
   546        -1   (dbar)             -71   390   390   547   563     0   206     11.056      5.269     14.175     18.736      0.330
   547       321   K+                  83   533   546     0     0     0     0    -18.910     -5.842      0.719     19.811      0.494
   548      -311   (Kbar0)            -83   533   546   671   671     0     0    -18.377     -7.222      1.109     19.783      0.498
   549       111   (pi0)              -83   533   546   742   743     0     0     -3.634     -1.898     -0.666      4.156      0.135
   550      -211   pi-                 83   533   546     0     0     0     0     -6.110     -2.686      0.744      6.717      0.140
   551       113   (rho0)             -83   533   546   672   673     0     0     -4.244     -2.010     -0.633      4.799      0.759
   552      2212   p+                  83   533   546     0     0     0     0     -3.566     -1.835      0.353      4.134      0.938
   553     -2212   pbar-               84   533   546     0     0     0     0     -0.939     -0.708      0.900      1.753      0.938
   554       211   pi+                 84   533   546     0     0     0     0     -0.308     -0.371      1.071      1.183      0.140
   555      3122   (Lambda0)          -84   533   546   744   745     0     0      0.360      0.255      2.466      2.743      1.116
   556     -3122   (Lambdabar0)       -84   533   546   746   747     0     0     -0.226      0.370      0.931      1.516      1.116
   557       111   (pi0)              -84   533   546   748   749     0     0     -0.239     -0.038      0.983      1.021      0.135
   558      -211   pi-                 84   533   546     0     0     0     0      0.061      0.125      2.301      2.309      0.140
   559       213   (rho+)             -84   533   546   674   675     0     0      1.012      1.065      4.809      5.146      1.092
   560       221   (eta)              -84   533   546   750   752     0     0      0.148      0.368      0.709      0.979      0.548
   561      -213   (rho-)             -84   533   546   676   677     0     0      2.744      1.778      5.159      6.153      0.739
   562       211   pi+                 84   533   546     0     0     0     0      0.402     -0.248      0.508      0.708      0.140
   563       113   (rho0)             -84   533   546   678   679     0     0      8.335      4.211     11.732     15.011      0.697
   564         1   (d)                -71   336   336   581   610   116     0      0.587     -0.111      0.801      1.052      0.330
   565        21   (g)                -71   430   430   581   610   161   116      0.568     -1.854     -0.000      1.976      0.381
   566        21   (g)                -71   323   323   581   610   174   161      0.488     -1.047     -1.693      2.049      0.000
   567        21   (g)                -71   287   287   581   610   141   174      1.293      0.143     -5.256      5.414      0.000
   568        21   (g)                -71   291   291   581   610   108   141      0.473      0.150     -0.135      0.515      0.000
   569        21   (g)                -71   286   286   581   610   109   108      3.218      0.765     -3.404      4.746      0.000
   570        21   (g)                -71   432   432   581   610   147   109      0.563     -0.328    -30.468     30.480      0.581
   571        21   (g)                -71   330   330   581   610   102   147      0.624      1.055    -13.037     13.095      0.000
   572        21   (g)                -71   365   365   581   610   197   102     -0.361     -1.331      0.650      1.524      0.000
   573        21   (g)                -71   431   431   581   610   195   197      3.634    -19.845      9.422     22.272      0.471
   574        21   (g)                -71   363   363   581   610   192   195      1.115     -4.953      2.568      5.689      0.000
   575        21   (g)                -71   354   354   581   610   190   192      0.010     -1.494      0.405      1.548      0.000
   576        21   (g)                -71   353   353   581   610   193   190     -0.562     -2.087      1.942      2.905      0.000
   577        21   (g)                -71   355   355   581   610   194   193      0.318     -1.054      1.433      1.807      0.000
   578        21   (g)                -71   367   367   581   610   198   194     -0.806     -2.210      0.972      2.545      0.000
   579        21   (g)                -71   368   368   581   610   191   198     -0.223     -2.597      0.400      2.637      0.000
   580        -5   (bbar)             -71   369   369   581   610     0   191      3.220     -9.065     12.796     16.713      4.800
   581      -211   pi-                 83   564   580     0     0     0     0      0.184      0.082      0.190      0.310      0.140
   582       213   (rho+)             -83   564   580   680   681     0     0      0.673     -1.565      0.345      1.949      0.882
   583       223   (omega)            -83   564   580   753   755     0     0      0.828     -0.557     -0.546      1.375      0.773
   584      -213   (rho-)             -83   564   580   682   683     0     0      0.282     -0.564     -1.198      1.589      0.832
   585       213   (rho+)             -83   564   580   684   685     0     0      0.124      0.316     -1.362      1.587      0.739
   586      2112   n0                  83   564   580     0     0     0     0      2.222      0.080     -3.198      4.007      0.940
   587       331   (eta')             -83   564   580   756   758     0     0      0.573     -0.339     -4.764      4.905      0.957
   588     -2112   nbar0               83   564   580     0     0     0     0      0.989     -0.017     -1.371      1.934      0.940
   589      2112   n0                  83   564   580     0     0     0     0      0.822      0.294     -4.001      4.201      0.940
   590     -2112   nbar0               83   564   580     0     0     0     0      0.239     -0.015     -4.961      5.055      0.940
   591      -213   (rho-)             -83   564   580   686   687     0     0     -0.050      0.361     -4.971      5.032      0.689
   592       331   (eta')             -83   564   580   759   760     0     0      0.715      0.382    -14.086     14.142      0.958
   593       213   (rho+)             -83   564   580   688   689     0     0     -0.076     -0.032     -5.459      5.507      0.717
   594       111   (pi0)              -83   564   580   761   762     0     0     -0.116     -0.053     -4.384      4.388      0.135
   595      -213   (rho-)             -83   564   580   690   691     0     0      0.055     -0.208     -0.886      1.238      0.837
   596       223   (omega)            -83   564   580   763   765     0     0      0.329      0.371     -1.065      1.413      0.784
   597       211   pi+                 83   564   580     0     0     0     0     -0.212     -0.543     -0.000      0.599      0.140
   598      -213   (rho-)             -83   564   580   692   693     0     0      0.420     -0.960     -0.696      1.909      1.437
   599       213   (rho+)             -83   564   580   694   695     0     0      0.029     -2.098      0.925      2.411      0.743
   600       111   (pi0)              -83   564   580   766   767     0     0      0.247     -0.804      0.645      1.069      0.135
   601      3112   (Sigma-)           -83   564   580   768   769     0     0      1.103    -11.241      4.982     12.403      1.197
   602       323   (K*+)              -84   564   580   696   697     0     0      1.511     -4.818      3.332      6.117      0.898
   603     -2112   nbar0               84   564   580     0     0     0     0      0.472     -5.523      2.502      6.154      0.940
   604       221   (eta)              -84   564   580   770   772     0     0     -0.093     -1.248      0.501      1.455      0.548
   605      2112   n0                  84   564   580     0     0     0     0      0.217     -3.176      1.485      3.636      0.940
   606     -2212   pbar-               84   564   580     0     0     0     0     -0.030     -2.615      2.230      3.562      0.938
   607       111   (pi0)              -84   564   580   773   774     0     0      0.425     -0.488      0.616      0.903      0.135
   608       321   K+                  84   564   580     0     0     0     0     -0.405     -1.403      1.152      1.924      0.494
   609      -321   K-                  84   564   580     0     0     0     0      0.162     -0.456      0.713      0.993      0.494
   610       523   (B*+)              -84   564   580   775   776     0     0      2.516     -9.023     10.724     15.202      5.325
   611         4   (c)                -71   301   301   622   641   117     0      0.455     -0.792     -1.401      2.247      1.500
   612        21   (g)                -71   293   293   622   641   120   117      0.158      1.111     -0.686      1.315      0.000
   613        21   (g)                -71   425   425   622   641   127   120     -0.609      1.652     -0.066      1.784      0.281
   614        21   (g)                -71   427   427   622   641   162   127     -0.752     -0.794      0.288      1.215      0.442
   615        21   (g)                -71   309   309   622   641   164   162     -0.378     -0.105      1.364      1.419      0.000
   616        21   (g)                -71   424   424   622   641   123   164     -0.179      0.343      6.289      6.304      0.202
   617        21   (g)                -71   334   334   622   641   144   123      0.895      0.871     22.592     22.626      0.000
   618        21   (g)                -71   310   310   622   641   153   144      0.186     -0.103     15.609     15.611      0.000
   619        21   (g)                -71   423   423   622   641   169   153     -0.490     -1.264     34.535     34.562      0.139
   620        21   (g)                -71   426   426   622   641   168   169     -0.223     -2.313      6.669      7.073      0.401
   621      2101   (ud_0)             -71   335   335   622   641     0   168      0.425     -0.059    615.024    615.024      0.579
   622       433   (D*_s+)            -83   611   621   777   778     0     0      0.266      1.148     -1.414      2.802      2.112
   623      -321   K-                  83   611   621     0     0     0     0     -0.357     -0.249     -0.038      0.659      0.494
   624      2212   p+                  83   611   621     0     0     0     0     -0.362     -0.602      0.009      1.172      0.938
   625     -2112   nbar0               83   611   621     0     0     0     0      0.067      0.408      0.027      1.027      0.940
   626       111   (pi0)              -83   611   621   779   780     0     0     -0.543      0.892     -0.138      1.062      0.135
   627      -211   pi-                 83   611   621     0     0     0     0     -0.028     -0.248      2.135      2.154      0.140
   628       223   (omega)            -83   611   621   781   783     0     0     -0.029      0.230      5.882      5.938      0.778
   629       111   (pi0)              -83   611   621   784   785     0     0      0.535      0.254      3.815      3.863      0.135
   630       211   pi+                 83   611   621     0     0     0     0     -0.292     -0.427      2.066      2.134      0.140
   631       113   (rho0)             -83   611   621   698   699     0     0      0.071      0.857      9.346      9.418      0.783
   632       113   (rho0)             -84   611   621   700   701     0     0      0.147     -0.758     28.200     28.223      0.837
   633      -211   pi-                 84   611   621     0     0     0     0     -0.155     -0.081      4.248      4.254      0.140
   634       211   pi+                 84   611   621     0     0     0     0      0.134     -0.047     10.003     10.005      0.140
   635      2112   n0                  84   611   621     0     0     0     0      0.162     -0.249      5.617      5.703      0.940
   636       223   (omega)            -84   611   621   786   787     0     0     -0.535     -1.197     11.050     11.155      0.784
   637     -2212   pbar-               84   611   621     0     0     0     0     -0.244     -1.132      9.324      9.443      0.938
   638       321   K+                  84   611   621     0     0     0     0      0.240      0.052      1.905      1.983      0.494
   639      -323   (K*-)              -84   611   621   702   703     0     0     -0.085     -0.170    142.667    142.670      0.920
   640       111   (pi0)              -84   611   621   788   789     0     0      0.207     -0.369     23.259     23.263      0.135
   641      2212   p+                  84   611   621     0     0     0     0      0.290      0.234    442.252    442.253      0.938
   642       211   pi+                 91   445     0     0     0     0     0     -0.191      0.167      2.155      2.175      0.140
   643      -211   pi-                 91   445     0     0     0     0     0      0.434     -0.345     12.975     12.988      0.140
   644       310   (K_S0)             -91   448   448   790   791     0     0     -1.013     -1.241      0.965      1.935      0.498
   645       211   pi+                 91   460     0     0     0     0     0      1.922      1.226     -1.567      2.769      0.140
   646       111   (pi0)              -91   460     0   792   793     0     0     -0.100     -0.067     -0.508      0.539      0.135
   647      -211   pi-                 91   463     0     0     0     0     0      1.000      0.665     -1.468      1.902      0.140
   648       111   (pi0)              -91   463     0   794   795     0     0      1.446      0.217     -1.023      1.789      0.135
   649       130   K_L0                91   468   468     0     0     0     0      1.228      0.332     -1.187      1.809      0.498
   650      -211   pi-                 91   482     0     0     0     0     0      1.148     -0.640      2.023      2.416      0.140
   651       111   (pi0)              -91   482     0   796   797     0     0      0.268     -0.391      0.630      0.800      0.135
   652       310   (K_S0)             -91   485   485   798   799     0     0     -1.740     -0.054      9.461      9.632      0.498
   653      -321   K-                  91   489     0     0     0     0     0     -0.320      0.587      7.442      7.488      0.494
   654       211   pi+                 91   489     0     0     0     0     0     -0.075     -0.134      3.887      3.892      0.140
   655       130   K_L0                91   497   497     0     0     0     0     14.853      3.821    -21.940     26.773      0.498
   656       211   pi+                 91   499     0     0     0     0     0      3.657      0.441     -5.349      6.496      0.140
   657      -211   pi-                 91   499     0     0     0     0     0      4.383      1.317     -6.111      7.636      0.140
   658      -211   pi-                 91   502     0     0     0     0     0      0.879      0.403     -1.323      1.644      0.140
   659       111   (pi0)              -91   502     0   800   801     0     0      2.978      0.233     -3.172      4.359      0.135
   660       211   pi+                 91   506     0     0     0     0     0      0.102      0.103     -0.189      0.276      0.140
   661       111   (pi0)              -91   506     0   802   803     0     0      1.449     -0.573     -0.252      1.584      0.135
   662       310   (K_S0)             -91   507   507   804   805     0     0      0.568     -0.363     -0.584      1.021      0.498
   663      -311   (Kbar0)            -91   508     0   704   704     0     0      1.746      0.467      0.398      1.916      0.498
   664      -211   pi-                 91   508     0     0     0     0     0      0.894      0.029      0.537      1.052      0.140
   665       211   pi+                 91   520     0     0     0     0     0      0.049     -0.226    -17.326     17.328      0.140
   666      -211   pi-                 91   520     0     0     0     0     0     -0.194     -0.382   -145.353    145.354      0.140
   667      -211   pi-                 91   522     0     0     0     0     0     -0.400     -0.038    -35.479     35.482      0.140
   668       111   (pi0)              -91   522     0   806   807     0     0     -0.170      0.249     -6.014      6.023      0.135
   669      2112   n0                  91   529     0     0     0     0     0     -1.220     -0.277     -2.592      3.028      0.940
   670      -211   pi-                 91   529     0     0     0     0     0      0.195      0.041     -0.560      0.611      0.140
   671       130   K_L0                91   548   548     0     0     0     0    -18.377     -7.222      1.109     19.783      0.498
   672       211   pi+                 91   551     0     0     0     0     0     -2.886     -1.440     -0.111      3.230      0.140
   673      -211   pi-                 91   551     0     0     0     0     0     -1.359     -0.570     -0.521      1.569      0.140
   674       211   pi+                 91   559     0     0     0     0     0      0.184      0.666      0.990      1.215      0.140
   675       111   (pi0)              -91   559     0   808   809     0     0      0.828      0.400      3.819      3.931      0.135
   676      -211   pi-                 91   561     0     0     0     0     0      0.947      1.015      2.116      2.535      0.140
   677       111   (pi0)              -91   561     0   810   811     0     0      1.797      0.763      3.043      3.618      0.135
   678       211   pi+                 91   563     0     0     0     0     0      7.281      3.677     10.522     13.314      0.140
   679      -211   pi-                 91   563     0     0     0     0     0      1.054      0.534      1.210      1.697      0.140
   680       211   pi+                 91   582     0     0     0     0     0      0.088     -0.282      0.418      0.531      0.140
   681       111   (pi0)              -91   582     0   812   813     0     0      0.585     -1.283     -0.073      1.418      0.135
   682      -211   pi-                 91   584     0     0     0     0     0      0.030     -0.707     -0.775      1.059      0.140
   683       111   (pi0)              -91   584     0   814   815     0     0      0.251      0.143     -0.423      0.530      0.135
   684       211   pi+                 91   585     0     0     0     0     0      0.264      0.260     -1.323      1.381      0.140
   685       111   (pi0)              -91   585     0   816   817     0     0     -0.140      0.056     -0.039      0.206      0.135
   686      -211   pi-                 91   591     0     0     0     0     0      0.226      0.141     -1.035      1.078      0.140
   687       111   (pi0)              -91   591     0   818   819     0     0     -0.276      0.220     -3.936      3.954      0.135
   688       211   pi+                 91   593     0     0     0     0     0      0.100      0.148     -4.504      4.509      0.140
   689       111   (pi0)              -91   593     0   820   821     0     0     -0.176     -0.180     -0.956      0.997      0.135
   690      -211   pi-                 91   595     0     0     0     0     0     -0.002      0.300     -0.276      0.431      0.140
   691       111   (pi0)              -91   595     0   822   823     0     0      0.057     -0.508     -0.610      0.807      0.135
   692      -211   pi-                 91   598     0     0     0     0     0     -0.201      0.088     -0.630      0.682      0.140
   693       111   (pi0)              -91   598     0   824   825     0     0      0.621     -1.048     -0.065      1.227      0.135
   694       211   pi+                 91   599     0     0     0     0     0     -0.219     -1.305      0.818      1.562      0.140
   695       111   (pi0)              -91   599     0   826   827     0     0      0.248     -0.793      0.107      0.849      0.135
   696       311   (K0)               -91   602     0   705   705     0     0      0.478     -1.579      1.217      2.109      0.498
   697       211   pi+                 91   602     0     0     0     0     0      1.034     -3.240      2.116      4.007      0.140
   698       211   pi+                 91   631     0     0     0     0     0      0.094      0.569      2.704      2.768      0.140
   699      -211   pi-                 91   631     0     0     0     0     0     -0.022      0.288      6.643      6.650      0.140
   700       211   pi+                 91   632     0     0     0     0     0      0.174     -0.720     12.727     12.750      0.140
   701      -211   pi-                 91   632     0     0     0     0     0     -0.027     -0.038     15.472     15.473      0.140
   702      -321   K-                  91   639     0     0     0     0     0      0.033     -0.024    130.287    130.288      0.494
   703       111   (pi0)              -91   639     0   828   829     0     0     -0.118     -0.145     12.380     12.383      0.135
   704       130   K_L0                91   663   663     0     0     0     0      1.746      0.467      0.398      1.916      0.498
   705       130   K_L0                91   696   696     0     0     0     0      0.478     -1.579      1.217      2.109      0.498
   706       130   K_L0                91   447     0     0     0     0     0      0.206      0.049      3.334      3.378      0.498
   707       310   (K_S0)             -91   447     0   830   831     0     0      0.252      0.034      5.437      5.466      0.498
   708      -511   (Bbar0)            -91   458     0   832   834     0     0     46.643     17.053    -58.650     77.033      5.280
   709        22   gamma               91   458     0     0     0     0     0      0.006      0.013     -0.025      0.029      0.000
   710        22   gamma               91   461     0     0     0     0     0      3.550      0.262     -3.187      4.778      0.000
   711        22   gamma               91   461     0     0     0     0     0      0.807     -0.005     -0.728      1.087      0.000
   712        22   gamma               91   462     0     0     0     0     0      0.653      0.269     -0.355      0.791      0.000
   713        22   gamma               91   462     0     0     0     0     0      0.761      0.406     -0.301      0.914      0.000
   714        22   gamma               91   464     0     0     0     0     0      0.381     -0.002     -0.481      0.613      0.000
   715        22   gamma               91   464     0     0     0     0     0      0.433     -0.118     -0.433      0.623      0.000
   716        22   gamma               91   465     0     0     0     0     0      0.138     -0.085     -0.152      0.223      0.000
   717        22   gamma               91   465     0     0     0     0     0     -0.004      0.010      0.019      0.022      0.000
   718       111   (pi0)              -91   466     0   835   836     0     0      0.380      0.131     -0.865      0.963      0.135
   719       111   (pi0)              -91   466     0   837   838     0     0      0.300      0.114     -0.415      0.541      0.135
   720       111   (pi0)              -91   466     0   839   840     0     0      0.360     -0.063     -0.462      0.604      0.135
   721        22   gamma               91   479     0     0     0     0     0      0.025     -0.048      0.051      0.074      0.000
   722        22   gamma               91   479     0     0     0     0     0      0.354     -0.052      0.194      0.407      0.000
   723       211   pi+                 91   484     0     0     0     0     0     -0.048     -0.040      0.577      0.597      0.140
   724      -211   pi-                 91   484     0     0     0     0     0     -0.158     -0.019      0.478      0.523      0.140
   725       221   (eta)              -91   484     0   841   843     0     0      0.130     -0.389      1.701      1.833      0.548
   726       211   pi+                 91   488     0     0     0     0     0     -0.118      0.122      1.447      1.463      0.140
   727      -211   pi-                 91   488     0     0     0     0     0     -0.103     -0.113      1.997      2.007      0.140
   728       221   (eta)              -91   488     0   844   846     0     0     -0.287      0.262      7.212      7.243      0.548
   729        22   gamma               91   500     0     0     0     0     0      1.800      0.587     -3.009      3.555      0.000
   730        22   gamma               91   500     0     0     0     0     0      0.216      0.057     -0.447      0.499      0.000
   731        22   gamma               91   505     0     0     0     0     0      1.262      0.760      0.331      1.510      0.000
   732        22   gamma               91   505     0     0     0     0     0      0.005      0.004     -0.008      0.010      0.000
   733        22   gamma               91   524     0     0     0     0     0     -0.015     -0.005     -0.062      0.065      0.000
   734        22   gamma               91   524     0     0     0     0     0     -0.664      0.380     -6.851      6.894      0.000
   735       211   pi+                 91   527     0     0     0     0     0     -0.302      0.045     -0.844      0.908      0.140
   736      -211   pi-                 91   527     0     0     0     0     0     -0.020     -0.082     -0.629      0.650      0.140
   737       221   (eta)              -91   527     0   847   848     0     0     -0.310     -0.213     -1.695      1.820      0.548
   738        22   gamma               91   528     0     0     0     0     0      0.103     -0.198     -0.709      0.743      0.000
   739        22   gamma               91   528     0     0     0     0     0      0.074     -0.005     -0.155      0.172      0.000
   740      -421   (Dbar0)            -91   532     0   849   853     0     0     -0.332      3.494     -5.417      6.718      1.865
   741        22   gamma               91   532     0     0     0     0     0      0.078      0.115     -0.077      0.159      0.000
   742        22   gamma               91   549     0     0     0     0     0     -3.307     -1.693     -0.578      3.760      0.000
   743        22   gamma               91   549     0     0     0     0     0     -0.327     -0.205     -0.088      0.396      0.000
   744      2212   p+                  91   555     0     0     0     0     0      0.369      0.298      2.109      2.357      0.938
   745      -211   pi-                 91   555     0     0     0     0     0     -0.009     -0.043      0.357      0.386      0.140
   746     -2212   pbar-               91   556     0     0     0     0     0     -0.240      0.388      0.883      1.367      0.938
   747       211   pi+                 91   556     0     0     0     0     0      0.014     -0.018      0.047      0.149      0.140
   748        22   gamma               91   557     0     0     0     0     0     -0.246     -0.009      0.903      0.935      0.000
   749        22   gamma               91   557     0     0     0     0     0      0.007     -0.029      0.080      0.086      0.000
   750       111   (pi0)              -91   560     0   854   855     0     0      0.019      0.260      0.302      0.422      0.135
   751       111   (pi0)              -91   560     0   856   857     0     0     -0.028      0.104      0.154      0.231      0.135
   752       111   (pi0)              -91   560     0   858   859     0     0      0.157      0.003      0.252      0.326      0.135
   753       211   pi+                 91   583     0     0     0     0     0      0.234     -0.064     -0.190      0.338      0.140
   754      -211   pi-                 91   583     0     0     0     0     0      0.437     -0.588     -0.255      0.788      0.140
   755       111   (pi0)              -91   583     0   860   861     0     0      0.158      0.095     -0.101      0.249      0.135
   756       211   pi+                 91   587     0     0     0     0     0      0.062     -0.061     -1.537      1.545      0.140
   757      -211   pi-                 91   587     0     0     0     0     0      0.029     -0.086     -0.802      0.819      0.140
   758       221   (eta)              -91   587     0   862   864     0     0      0.482     -0.192     -2.426      2.541      0.548
   759       113   (rho0)             -91   592     0   865   866     0     0      0.351      0.093     -7.014      7.054      0.662
   760        22   gamma               91   592     0     0     0     0     0      0.365      0.289     -7.072      7.087      0.000
   761        22   gamma               91   594     0     0     0     0     0     -0.029      0.027     -0.355      0.358      0.000
   762        22   gamma               91   594     0     0     0     0     0     -0.087     -0.081     -4.028      4.030      0.000
   763       211   pi+                 91   596     0     0     0     0     0      0.324      0.126     -0.617      0.722      0.140
   764      -211   pi-                 91   596     0     0     0     0     0     -0.007     -0.071     -0.051      0.165      0.140
   765       111   (pi0)              -91   596     0   867   868     0     0      0.011      0.316     -0.397      0.526      0.135
   766        22   gamma               91   600     0     0     0     0     0      0.187     -0.738      0.558      0.944      0.000
   767        22   gamma               91   600     0     0     0     0     0      0.060     -0.066      0.087      0.125      0.000
   768      2112   n0                  91   601     0     0     0     0     0      0.752     -8.023      3.386      8.791      0.940
   769      -211   pi-                 91   601     0     0     0     0     0      0.351     -3.218      1.596      3.612      0.140
   770       111   (pi0)              -91   604     0   869   871     0     0     -0.060     -0.284      0.007      0.320      0.135
   771       111   (pi0)              -91   604     0   872   873     0     0      0.052     -0.239      0.144      0.314      0.135
   772       111   (pi0)              -91   604     0   874   875     0     0     -0.085     -0.725      0.350      0.821      0.135
   773        22   gamma               91   607     0     0     0     0     0      0.415     -0.494      0.615      0.892      0.000
   774        22   gamma               91   607     0     0     0     0     0      0.010      0.006      0.001      0.012      0.000
   775       521   (B+)               -91   610     0   876   879     0     0      2.453     -8.886     10.545     14.969      5.279
   776        22   gamma               91   610     0     0     0     0     0      0.063     -0.137      0.178      0.234      0.000
   777       431   (D_s+)             -91   622     0   880   881     0     0      0.277      1.132     -1.485      2.727      1.968
   778        22   gamma               91   622     0     0     0     0     0     -0.012      0.017      0.072      0.074      0.000
   779        22   gamma               91   626     0     0     0     0     0     -0.224      0.403      0.004      0.461      0.000
   780        22   gamma               91   626     0     0     0     0     0     -0.320      0.488     -0.142      0.601      0.000
   781       211   pi+                 91   628     0     0     0     0     0     -0.231      0.167      1.774      1.802      0.140
   782      -211   pi-                 91   628     0     0     0     0     0      0.167      0.190      2.529      2.546      0.140
   783       111   (pi0)              -91   628     0   882   883     0     0      0.035     -0.126      1.579      1.590      0.135
   784        22   gamma               91   629     0     0     0     0     0      0.071      0.088      0.827      0.835      0.000
   785        22   gamma               91   629     0     0     0     0     0      0.464      0.166      2.988      3.028      0.000
   786       111   (pi0)              -91   636     0   884   885     0     0     -0.679     -1.198     10.109     10.203      0.135
   787        22   gamma               91   636     0     0     0     0     0      0.144      0.001      0.941      0.952      0.000
   788        22   gamma               91   640     0     0     0     0     0      0.192     -0.240     14.310     14.314      0.000
   789        22   gamma               91   640     0     0     0     0     0      0.015     -0.129      8.948      8.949      0.000
   790       111   (pi0)              -91   644     0   886   887     0     0     -0.551     -0.654      0.272      0.908      0.135
   791       111   (pi0)              -91   644     0   888   889     0     0     -0.462     -0.587      0.693      1.028      0.135
   792        22   gamma               91   646     0     0     0     0     0      0.031     -0.014     -0.058      0.067      0.000
   793        22   gamma               91   646     0     0     0     0     0     -0.132     -0.053     -0.450      0.472      0.000
   794        22   gamma               91   648     0     0     0     0     0      0.490      0.079     -0.426      0.654      0.000
   795        22   gamma               91   648     0     0     0     0     0      0.956      0.138     -0.597      1.135      0.000
   796        22   gamma               91   651     0     0     0     0     0      0.128     -0.124      0.149      0.232      0.000
   797        22   gamma               91   651     0     0     0     0     0      0.141     -0.266      0.481      0.567      0.000
   798       111   (pi0)              -91   652     0   890   891     0     0     -0.368      0.138      1.955      1.998      0.135
   799       111   (pi0)              -91   652     0   892   893     0     0     -1.372     -0.193      7.506      7.634      0.135
   800        22   gamma               91   659     0     0     0     0     0      0.219     -0.005     -0.275      0.352      0.000
   801        22   gamma               91   659     0     0     0     0     0      2.758      0.238     -2.897      4.007      0.000
   802        22   gamma               91   661     0     0     0     0     0      0.409     -0.168     -0.010      0.442      0.000
   803        22   gamma               91   661     0     0     0     0     0      1.040     -0.405     -0.241      1.142      0.000
   804       211   pi+                 91   662     0     0     0     0     0      0.260     -0.224     -0.050      0.374      0.140
   805      -211   pi-                 91   662     0     0     0     0     0      0.308     -0.139     -0.534      0.647      0.140
   806        22   gamma               91   668     0     0     0     0     0     -0.139      0.084     -2.848      2.853      0.000
   807        22   gamma               91   668     0     0     0     0     0     -0.031      0.165     -3.166      3.170      0.000
   808        22   gamma               91   675     0     0     0     0     0      0.580      0.226      2.738      2.808      0.000
   809        22   gamma               91   675     0     0     0     0     0      0.248      0.173      1.081      1.122      0.000
   810        22   gamma               91   677     0     0     0     0     0      0.159      0.044      0.318      0.358      0.000
   811        22   gamma               91   677     0     0     0     0     0      1.638      0.719      2.725      3.260      0.000
   812        22   gamma               91   681     0     0     0     0     0      0.477     -1.061     -0.111      1.169      0.000
   813        22   gamma               91   681     0     0     0     0     0      0.108     -0.221      0.038      0.249      0.000
   814        22   gamma               91   683     0     0     0     0     0      0.018     -0.025     -0.035      0.047      0.000
   815        22   gamma               91   683     0     0     0     0     0      0.234      0.169     -0.388      0.483      0.000
   816        22   gamma               91   685     0     0     0     0     0     -0.138      0.082     -0.061      0.172      0.000
   817        22   gamma               91   685     0     0     0     0     0     -0.001     -0.026      0.022      0.034      0.000
   818        22   gamma               91   687     0     0     0     0     0     -0.110      0.010     -1.116      1.121      0.000
   819        22   gamma               91   687     0     0     0     0     0     -0.166      0.210     -2.820      2.833      0.000
   820        22   gamma               91   689     0     0     0     0     0     -0.001     -0.030     -0.315      0.316      0.000
   821        22   gamma               91   689     0     0     0     0     0     -0.176     -0.150     -0.641      0.681      0.000
   822        22   gamma               91   691     0     0     0     0     0      0.029     -0.057     -0.147      0.161      0.000
   823        22   gamma               91   691     0     0     0     0     0      0.028     -0.450     -0.463      0.647      0.000
   824        22   gamma               91   693     0     0     0     0     0      0.359     -0.622     -0.105      0.725      0.000
   825        22   gamma               91   693     0     0     0     0     0      0.262     -0.426      0.039      0.502      0.000
   826        22   gamma               91   695     0     0     0     0     0      0.121     -0.197      0.050      0.237      0.000
   827        22   gamma               91   695     0     0     0     0     0      0.127     -0.596      0.057      0.612      0.000
   828        22   gamma               91   703     0     0     0     0     0     -0.055     -0.106      3.884      3.886      0.000
   829        22   gamma               91   703     0     0     0     0     0     -0.062     -0.040      8.496      8.496      0.000
   830       211   pi+                 91   707     0     0     0     0     0      0.350      0.014      3.213      3.235      0.140
   831      -211   pi-                 91   707     0     0     0     0     0     -0.098      0.021      2.224      2.230      0.140
   832      -413   (D*-)              -91   708     0   894   895     0     0     18.084      6.506    -23.447     30.384      2.010
   833       413   (D*+)              -91   708     0   896   897     0     0     18.702      7.779    -23.755     31.283      2.010
   834      -311   (Kbar0)            -91   708     0   898   898     0     0      9.857      2.768    -11.448     15.366      0.498
   835        22   gamma               91   718     0     0     0     0     0      0.309      0.159     -0.704      0.786      0.000
   836        22   gamma               91   718     0     0     0     0     0      0.071     -0.028     -0.161      0.178      0.000
   837        22   gamma               91   719     0     0     0     0     0      0.007      0.025     -0.095      0.099      0.000
   838        22   gamma               91   719     0     0     0     0     0      0.293      0.089     -0.319      0.443      0.000
   839        22   gamma               91   720     0     0     0     0     0      0.110      0.042     -0.158      0.197      0.000
   840        22   gamma               91   720     0     0     0     0     0      0.250     -0.105     -0.304      0.407      0.000
   841       111   (pi0)              -91   725     0   899   900     0     0      0.071     -0.128      0.262      0.329      0.135
   842       111   (pi0)              -91   725     0   901   902     0     0      0.075     -0.133      1.087      1.106      0.135
   843       111   (pi0)              -91   725     0   903   904     0     0     -0.017     -0.128      0.351      0.398      0.135
   844       211   pi+                 91   728     0     0     0     0     0     -0.023      0.066      1.241      1.251      0.140
   845      -211   pi-                 91   728     0     0     0     0     0     -0.077      0.163      1.718      1.733      0.140
   846       111   (pi0)              -91   728     0   905   906     0     0     -0.187      0.032      4.253      4.259      0.135
   847        22   gamma               91   737     0     0     0     0     0     -0.291     -0.378     -1.433      1.510      0.000
   848        22   gamma               91   737     0     0     0     0     0     -0.019      0.165     -0.262      0.310      0.000
   849      -311   (Kbar0)            -91   740     0   907   907     0     0     -0.300      1.214     -2.506      2.845      0.498
   850      -211   pi-                 91   740     0     0     0     0     0      0.050      0.261     -0.262      0.398      0.140
   851      -211   pi-                 91   740     0     0     0     0     0     -0.070      0.713     -1.394      1.573      0.140
   852       211   pi+                 91   740     0     0     0     0     0     -0.038      0.677     -0.982      1.202      0.140
   853       211   pi+                 91   740     0     0     0     0     0      0.027      0.629     -0.272      0.699      0.140
   854        22   gamma               91   750     0     0     0     0     0     -0.042      0.024      0.035      0.059      0.000
   855        22   gamma               91   750     0     0     0     0     0      0.060      0.237      0.268      0.362      0.000
   856        22   gamma               91   751     0     0     0     0     0     -0.040      0.041      0.157      0.167      0.000
   857        22   gamma               91   751     0     0     0     0     0      0.012      0.063     -0.003      0.064      0.000
   858        22   gamma               91   752     0     0     0     0     0      0.081      0.062      0.082      0.131      0.000
   859        22   gamma               91   752     0     0     0     0     0      0.077     -0.059      0.170      0.196      0.000
   860        22   gamma               91   755     0     0     0     0     0     -0.009      0.018      0.021      0.029      0.000
   861        22   gamma               91   755     0     0     0     0     0      0.167      0.077     -0.122      0.220      0.000
   862       211   pi+                 91   758     0     0     0     0     0      0.225      0.053     -1.018      1.053      0.140
   863      -211   pi-                 91   758     0     0     0     0     0      0.033     -0.120     -0.476      0.512      0.140
   864       111   (pi0)              -91   758     0   908   909     0     0      0.224     -0.124     -0.932      0.976      0.135
   865       211   pi+                 91   759     0     0     0     0     0      0.379      0.295     -5.152      5.176      0.140
   866      -211   pi-                 91   759     0     0     0     0     0     -0.028     -0.202     -1.862      1.878      0.140
   867        22   gamma               91   765     0     0     0     0     0      0.036      0.162     -0.296      0.339      0.000
   868        22   gamma               91   765     0     0     0     0     0     -0.024      0.154     -0.101      0.186      0.000
   869        22   gamma               91   770     0     0     0     0     0     -0.086     -0.126     -0.029      0.155      0.000
   870        11   e-                  91   770     0     0     0     0     0      0.016     -0.078      0.026      0.084      0.001
   871       -11   e+                  91   770     0     0     0     0     0      0.010     -0.080      0.010      0.082      0.001
   872        22   gamma               91   771     0     0     0     0     0     -0.005     -0.177      0.148      0.230      0.000
   873        22   gamma               91   771     0     0     0     0     0      0.056     -0.062     -0.003      0.084      0.000
   874        22   gamma               91   772     0     0     0     0     0     -0.034     -0.530      0.192      0.565      0.000
   875        22   gamma               91   772     0     0     0     0     0     -0.051     -0.195      0.157      0.256      0.000
   876      -421   (Dbar0)            -91   775     0   910   914     0     0     -0.002     -1.386      1.896      2.999      1.865
   877       211   pi+                 91   775     0     0     0     0     0      0.794     -3.981      4.949      6.403      0.140
   878       113   (rho0)             -91   775     0   915   916     0     0      1.362     -2.990      2.463      4.182      0.795
   879       111   (pi0)              -91   775     0   917   918     0     0      0.298     -0.529      1.237      1.385      0.135
   880       221   (eta)              -91   777     0   919   921     0     0      1.036      0.466     -0.927      1.565      0.548
   881       211   pi+                 91   777     0     0     0     0     0     -0.759      0.666     -0.558      1.162      0.140
   882        22   gamma               91   783     0     0     0     0     0      0.035     -0.101      1.539      1.543      0.000
   883        22   gamma               91   783     0     0     0     0     0     -0.000     -0.026      0.040      0.048      0.000
   884        22   gamma               91   786     0     0     0     0     0     -0.108     -0.306      2.322      2.344      0.000
   885        22   gamma               91   786     0     0     0     0     0     -0.571     -0.892      7.787      7.859      0.000
   886        22   gamma               91   790     0     0     0     0     0     -0.234     -0.179      0.092      0.309      0.000
   887        22   gamma               91   790     0     0     0     0     0     -0.316     -0.475      0.180      0.599      0.000
   888        22   gamma               91   791     0     0     0     0     0     -0.334     -0.334      0.385      0.610      0.000
   889        22   gamma               91   791     0     0     0     0     0     -0.128     -0.253      0.307      0.418      0.000
   890        22   gamma               91   798     0     0     0     0     0     -0.342      0.159      1.863      1.901      0.000
   891        22   gamma               91   798     0     0     0     0     0     -0.025     -0.021      0.091      0.097      0.000
   892        22   gamma               91   799     0     0     0     0     0     -0.814     -0.109      4.081      4.163      0.000
   893        22   gamma               91   799     0     0     0     0     0     -0.558     -0.084      3.425      3.471      0.000
   894      -421   (Dbar0)            -91   832     0   922   923     0     0     16.541      5.922    -21.451     27.791      1.865
   895      -211   pi-                 91   832     0     0     0     0     0      1.543      0.584     -1.996      2.593      0.140
   896       411   (D+)               -91   833     0   924   926     0     0     17.728      7.385    -22.507     29.646      1.870
   897       111   (pi0)              -91   833     0   927   928     0     0      0.974      0.394     -1.249      1.637      0.135
   898       130   K_L0                91   834   834     0     0     0     0      9.857      2.768    -11.448     15.366      0.498
   899        22   gamma               91   841     0     0     0     0     0      0.107     -0.066      0.146      0.193      0.000
   900        22   gamma               91   841     0     0     0     0     0     -0.036     -0.061      0.116      0.136      0.000
   901        22   gamma               91   842     0     0     0     0     0      0.066     -0.115      0.462      0.481      0.000
   902        22   gamma               91   842     0     0     0     0     0      0.010     -0.018      0.625      0.626      0.000
   903        22   gamma               91   843     0     0     0     0     0     -0.002     -0.004     -0.012      0.013      0.000
   904        22   gamma               91   843     0     0     0     0     0     -0.015     -0.124      0.364      0.385      0.000
   905        22   gamma               91   846     0     0     0     0     0     -0.095     -0.018      3.123      3.124      0.000
   906        22   gamma               91   846     0     0     0     0     0     -0.092      0.051      1.130      1.134      0.000
   907       310   (K_S0)             -91   849   849   929   930     0     0     -0.300      1.214     -2.506      2.845      0.498
   908        22   gamma               91   864     0     0     0     0     0      0.133     -0.126     -0.458      0.494      0.000
   909        22   gamma               91   864     0     0     0     0     0      0.091      0.002     -0.474      0.483      0.000
   910       321   K+                  91   876     0     0     0     0     0      0.028     -0.652      0.622      1.028      0.494
   911      -211   pi-                 91   876     0     0     0     0     0     -0.010      0.219      0.034      0.262      0.140
   912      -211   pi-                 91   876     0     0     0     0     0      0.062     -0.456      0.336      0.586      0.140
   913       211   pi+                 91   876     0     0     0     0     0     -0.076     -0.162      0.625      0.665      0.140
   914       111   (pi0)              -91   876     0   931   932     0     0     -0.006     -0.335      0.280      0.457      0.135
   915       211   pi+                 91   878     0     0     0     0     0      1.384     -2.498      1.974      3.475      0.140
   916      -211   pi-                 91   878     0     0     0     0     0     -0.022     -0.491      0.489      0.708      0.140
   917        22   gamma               91   879     0     0     0     0     0      0.293     -0.415      1.017      1.137      0.000
   918        22   gamma               91   879     0     0     0     0     0      0.005     -0.114      0.220      0.248      0.000
   919       111   (pi0)              -91   880     0   933   934     0     0      0.244      0.093     -0.210      0.361      0.135
   920       111   (pi0)              -91   880     0   935   936     0     0      0.561      0.102     -0.429      0.726      0.135
   921       111   (pi0)              -91   880     0   937   938     0     0      0.231      0.272     -0.289      0.478      0.135
   922       313   (K*0)              -91   894     0   939   940     0     0      9.926      4.080    -12.912     16.813      0.887
   923       113   (rho0)             -91   894     0   941   942     0     0      6.614      1.842     -8.540     10.977      0.658
   924       311   (K0)               -91   896     0   943   943     0     0     14.911      6.008    -19.575     25.335      0.498
   925       211   pi+                 91   896     0     0     0     0     0      1.725      0.854     -1.612      2.515      0.140
   926       111   (pi0)              -91   896     0   944   945     0     0      1.092      0.524     -1.319      1.796      0.135
   927        22   gamma               91   897     0     0     0     0     0      0.812      0.272     -1.010      1.324      0.000
   928        22   gamma               91   897     0     0     0     0     0      0.162      0.122     -0.239      0.313      0.000
   929       111   (pi0)              -91   907     0   946   947     0     0     -0.070      0.951     -1.657      1.916      0.135
   930       111   (pi0)              -91   907     0   948   949     0     0     -0.230      0.263     -0.850      0.929      0.135
   931        22   gamma               91   914     0     0     0     0     0      0.019     -0.012      0.063      0.067      0.000
   932        22   gamma               91   914     0     0     0     0     0     -0.025     -0.324      0.217      0.391      0.000
   933        22   gamma               91   919     0     0     0     0     0      0.173      0.000     -0.094      0.197      0.000
   934        22   gamma               91   919     0     0     0     0     0      0.071      0.092     -0.116      0.164      0.000
   935        22   gamma               91   920     0     0     0     0     0      0.551      0.120     -0.422      0.704      0.000
   936        22   gamma               91   920     0     0     0     0     0      0.010     -0.018     -0.007      0.022      0.000
   937        22   gamma               91   921     0     0     0     0     0      0.207      0.157     -0.229      0.347      0.000
   938        22   gamma               91   921     0     0     0     0     0      0.023      0.115     -0.059      0.131      0.000
   939       311   (K0)               -91   922     0   950   950     0     0      5.516      2.169     -6.740      8.990      0.498
   940       111   (pi0)              -91   922     0   951   952     0     0      4.410      1.911     -6.172      7.824      0.135
   941       211   pi+                 91   923     0     0     0     0     0      5.141      1.538     -6.987      8.810      0.140
   942      -211   pi-                 91   923     0     0     0     0     0      1.473      0.305     -1.553      2.167      0.140
   943       130   K_L0                91   924   924     0     0     0     0     14.911      6.008    -19.575     25.335      0.498
   944        22   gamma               91   926     0     0     0     0     0      0.503      0.245     -0.511      0.758      0.000
   945        22   gamma               91   926     0     0     0     0     0      0.588      0.279     -0.808      1.038      0.000
   946        22   gamma               91   929     0     0     0     0     0     -0.091      0.496     -0.790      0.937      0.000
   947        22   gamma               91   929     0     0     0     0     0      0.021      0.455     -0.867      0.979      0.000
   948        22   gamma               91   930     0     0     0     0     0     -0.095      0.114     -0.204      0.252      0.000
   949        22   gamma               91   930     0     0     0     0     0     -0.135      0.149     -0.646      0.677      0.000
   950       310   (K_S0)             -91   939   939   953   954     0     0      5.516      2.169     -6.740      8.990      0.498
   951        22   gamma               91   940     0     0     0     0     0      1.229      0.539     -1.822      2.263      0.000
   952        22   gamma               91   940     0     0     0     0     0      3.181      1.372     -4.350      5.561      0.000
   953       211   pi+                 91   950     0     0     0     0     0      3.494      1.438     -4.568      5.930      0.140
   954      -211   pi-                 91   950     0     0     0     0     0      2.023      0.731     -2.172      3.060      0.140
                                   Charge sum:  0.000           Momentum sum:     -0.000      0.000      0.000   1960.000   1960.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  
 PYTHIA Abort from Pythia::next: reached end of Les Houches Events File  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | Les Houches User Process(es)                  9999 |         100        100        100 |   5.480e-09  5.488e-10 |
 |    ... whereof user classification code         81 |          94         94         94 |                        | 
 |    ... whereof user classification code         82 |           6          6          6 |                        | 
 |                                                    |                                   |                        |
 | sum                                                |         100        100        100 |   5.480e-09  5.488e-10 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Abort from Pythia::next: reached end of Les Houches Events File                                        | 
 |      1   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      1   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      2   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |      1   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:03       charged particle multiplicity

        8.10*10^ 0                                 7 7                                                                  
        7.80*10^ 0                                 X X                                                                  
        7.50*10^ 0                                 X X                                                                  
        7.20*10^ 0                                 X X                                                                  
        6.90*10^ 0                                 X X                                                                  
        6.60*10^ 0                                 X X                                                                  
        6.30*10^ 0                                 X X                                                                  
        6.00*10^ 0                                 X X      X                                                           
        5.70*10^ 0                                 X X      X                                                           
        5.40*10^ 0                                 X X      X                                                           
        5.10*10^ 0                                 X7X      X7                                                          
        4.80*10^ 0                                 XXX      XX                                                          
        4.50*10^ 0                                 XXX      XX                                                          
        4.20*10^ 0                              333XXX   3  XX                                                          
        3.90*10^ 0                              XXXXXX   X  XX                                                          
        3.60*10^ 0                              XXXXXX   X  XX                                                          
        3.30*10^ 0                              XXXXXX   X  XX                                                          
        3.00*10^ 0                       X  XX XXXXXXX X XX XX  X X   X                                                 
        2.70*10^ 0                       X  XX XXXXXXX X XX XX  X X   X                                                 
        2.40*10^ 0                       X  XX XXXXXXX X XX XX  X X   X                                                 
        2.10*10^ 0                      7X  XX XXXXXXX X XX XX 7X7X   X 7                                               
        1.80*10^ 0                      XX  XX XXXXXXX X XX XX XXXX   X X                                               
        1.50*10^ 0                      XX  XX XXXXXXX X XX XX XXXX   X X                                               
        1.20*10^ 0                3 3333XX33XX3XXXXXXX3X3XX3XX3XXXX 3 X3X   3 3                   3                     
        0.90*10^ 0                X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXX   X X                   X                     
        0.60*10^ 0                X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXX   X X                   X                     
        0.30*10^ 0                X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X XXX   X X                   X                     

          Contents                                                                                                      
            *10^ 0  0000000000000010111123113313444858131431651232301031200010100000000000000000001000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  1482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         100    Mean =  1.3990e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  4.0906e+01    Overflow  =  0.0000e+00    High edge =  3.9950e+02
pythia8-8.1.86.orig/examples/outref/out270000644000175000017500000037161212357054720016403 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:08:23    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

|-------------------------
| KK mass is: 4000.000
|-------------------------

 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | f fbar -> mu+ mu- (s-channel gamma_KK/Z_KK)   5073 |   7.047e-11 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  273.02 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | ExtraDimensionsTEV:ffbar2mu+mu-               |                       on |          off                         | 
 | ExtraDimensionsTEV:nMax                       |                100.00000 |     10.00000     1.00000   100.00000 | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:mHatMax                            |                 8000.000 |     -1.00000                         | 
 | PhaseSpace:mHatMin                            |                 1000.000 |      4.00000         0.0             | 
 | Random:seed                                   |                        0 |           -1               900000000 | 
 | Random:setSeed                                |                       on |          off                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 5000023  Z_KK                                3   0   0  4.000e+03  2.400e+02  1.000e+03  8.000e+03  0.00000e+00   0   0   0   1   0

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   -2, x =  6.093e-02, pdf =  1.356e-01 at Q2 =  2.884e+06.
 In 2: id =    2, x =  2.415e-01, pdf =  3.464e-01 at same Q2.

 Subprocess f fbar -> mu+ mu- (s-channel gamma_KK/Z_KK) with code 5073 is 2 -> 2.
 It has sHat =  2.884e+06,    tHat = -1.027e+06,    uHat = -1.857e+06,
       pTHat =  8.133e+02,   m3Hat =  1.057e-01,   m4Hat =  1.057e-01,
    thetaHat =  1.279e+00,  phiHat =  3.371e+00.
     alphaEM =  8.086e-03,  alphaS =  9.318e-02    at Q2 =  2.884e+06.

 Impact parameter b =  6.396e-01 gives enhancement factor =  1.818e+00.
 Max pT scale for MPI =  1.400e+04, ISR =  1.400e+04, FSR =  1.400e+04.
 Number of MPI =     7, ISR =    11, FSRproc =    49, FSRreson =     1.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        -2   (ubar)             -21     1     0     5     0     0   101      0.000      0.000    426.483    426.483      0.000
     4         2   (u)                -21     2     0     5     0   101     0      0.000      0.000  -1690.760   1690.760      0.000
     5   5000023   (Z_KK)             -22     3     4     6     7     0     0      0.000      0.000  -1264.277   2117.242   1698.328
     6       -13   mu+                 23     5     0     0     0     0     0   -792.004   -184.798   -327.636    876.793      0.106
     7        13   mu-                 23     5     0     0     0     0     0    792.004    184.798   -936.641   1240.450      0.106
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000  -1264.277   2117.242   1698.328

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0   251     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0   252     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        -2   (ubar)             -21     6     6     5     0     0   101      0.000      0.000    426.483    426.483      0.000
     4         2   (u)                -21     7     0     5     0   101     0      0.000      0.000  -1690.760   1690.760      0.000
     5   5000023   (Z_KK)             -22     3     4     8     8     0     0      0.000      0.000  -1264.277   2117.242   1698.328
     6        -2   (ubar)             -42    16    16     3     3     0   101     -0.000     -0.000    426.483    426.483      0.000
     7         2   (u)                -41    28    28     9     4   102     0      0.000      0.000  -1970.674   1970.674      0.000
     8   5000023   (Z_KK)             -44     5     5    71    71     0     0      7.494     69.221  -1290.656   2134.235   1698.328
     9        21   (g)                -43     7     0    14    15   102   101     -7.494    -69.221   -253.535    262.922      0.000
    10        21   (g)                -31    21    21    12    13   103   104      0.000      0.000    319.901    319.901      0.000
    11        21   (g)                -31    22     0    12    13   105   106      0.000      0.000     -0.439      0.439      0.000
    12        21   (g)                -33    10    11    23    23   103   106     -5.066     -1.351    303.388    303.433      0.000
    13        21   (g)                -33    10    11    24    24   105   104      5.066      1.351     16.074     16.907      0.000
    14        21   (g)                -51     9     0    26    27   102   107     -3.033    -54.696   -210.067    217.092      0.000
    15        21   (g)                -51     9     0    73    73   107   101     -4.460    -14.525    -43.357     45.942      0.000
    16        -2   (ubar)             -53    69     0     6     6     0   101     -0.000     -0.000    426.595    426.595      0.000
    17        21   (g)                -31    29     0    19    20   109   110      0.000      0.000      5.887      5.887      0.000
    18         1   (d)                -31    30    30    19    20   108     0      0.000      0.000    -70.807     70.807      0.000
    19        21   (g)                -33    17    18    31    31   108   110      0.102     -3.969      5.154      6.506      0.000
    20         1   (d)                -33    17    18    32    32   109     0     -0.102      3.969    -70.074     70.188      0.330
    21        21   (g)                -42    42    42    10    10   103   104      0.000      0.000    319.901    319.901      0.000
    22         1   (d)                -41    97    97    25    11   105     0     -0.000     -0.000     -0.558      0.558      0.000
    23        21   (g)                -44    12    12    47    48   103   106     -5.174     -1.417    296.927    296.975      0.000
    24        21   (g)                -44    13    13    40    41   105   104      3.064      0.124      4.826      5.718      0.000
    25         1   (d)                -43    22     0    78    78   106     0      2.111      1.293     17.590     17.766      0.330
    26        21   (g)                -51    14     0    72    72   111   107     -3.749    -46.099   -169.589    175.783      0.000
    27        21   (g)                -51    14     0    74    74   102   111      0.716     -8.597    -44.344     45.176      0.000
    28         2   (u)                -53    70    70     7     7   102     0      0.000      0.000  -1974.541   1974.541      0.000
    29        21   (g)                -41    34     0    33    17   109   112      0.000      0.000     42.484     42.484      0.000
    30         1   (d)                -42    35    35    18    18   108     0      0.000     -0.000    -70.807     70.807      0.000
    31        21   (g)                -44    19    19    36    36   108   110     -0.468     -2.150      5.638      6.052      0.000
    32         1   (d)                -44    20    20    37    37   109     0     -0.108      3.987    -70.518     70.631      0.330
    33        21   (g)                -43    29     0    38    38   110   112      0.576     -1.837     36.556     36.607      0.000
    34         1   (d)                -41    55    55    39    29   109     0     -0.000      0.000    120.487    120.487      0.000
    35         1   (d)                -42    56     0    30    30   108     0     -0.000      0.000    -70.807     70.807      0.000
    36        21   (g)                -44    31    31    57    57   108   110     -0.541     -1.923      5.677      6.018      0.000
    37         1   (d)                -44    32    32    58    58   109     0     -0.109      3.989    -70.568     70.682      0.330
    38        21   (g)                -44    33    33    59    59   110   112      0.116     -0.419     36.595     36.597      0.000
    39         1   (d)                -43    34     0    60    60   112     0      0.534     -1.647     77.977     77.997      0.330
    40        21   (g)                -51    24     0    99    99   105   113      1.351     -0.483      0.940      1.715      0.000
    41        21   (g)                -51    24     0   101   101   113   104      1.713      0.607     14.113     14.230      0.000
    42        21   (g)                -53    49    49    21    21   103   104     -0.000      0.000    330.128    330.128      0.000
    43        21   (g)                -31    50    50    45    46   114   115      0.000      0.000      9.641      9.641      0.000
    44        21   (g)                -31    51     0    45    46   116   117      0.000      0.000     -0.715      0.715      0.000
    45        21   (g)                -33    43    44    52    52   114   117      0.228     -1.313      8.924      9.023      0.000
    46        21   (g)                -33    43    44    53    53   116   115     -0.228      1.313      0.003      1.333      0.000
    47        21   (g)                -51    23     0    76    77   118   106     -5.196     -1.031    362.134    362.173      0.000
    48        21   (g)                -51    23     0   102   102   103   118      0.021     -0.386      7.675      7.684      0.000
    49        21   (g)                -53    96     0    42    42   103   104      0.000      0.000    403.010    403.010      0.000
    50        21   (g)                -42    86     0    43    43   114   115     -0.000      0.000      9.641      9.641      0.000
    51        21   (g)                -41    68    68    54    44   116   119      0.000     -0.000    -53.120     53.120      0.000
    52        21   (g)                -44    45    45    88    88   114   117      0.144     -1.302      8.167      8.271      0.000
    53        21   (g)                -44    46    46    66    67   116   115     -1.355      1.461      0.713      2.117      0.000
    54        21   (g)                -43    51     0    90    90   117   119      1.212     -0.159    -52.359     52.374      0.000
    55         1   (d)                -42   146   146    34    34   109     0     -0.000      0.000    120.487    120.487      0.000
    56         1   (d)                -41   176   176    61    35   120     0      0.000     -0.000    -83.987     83.987      0.000
    57        21   (g)                -44    36    36    93    94   108   110     -0.543     -1.921      5.669      6.011      0.000
    58         1   (d)                -44    37    37   144   145   109     0     -0.918      4.682    -70.559     70.721      0.330
    59        21   (g)                -44    38    38   117   117   110   112      0.116     -0.419     36.584     36.587      0.000
    60         1   (d)                -44    39    39   290   290   112     0      0.534     -1.647     77.949     77.969      0.330
    61        21   (g)                -43    56     0    95    95   120   108      0.811     -0.695    -13.144     13.187      0.000
    62        21   (g)                -31   225     0    64    65   121   122      0.000      0.000      1.341      1.341      0.000
    63        21   (g)                -31   226   226    64    65   123   121      0.000      0.000     -5.178      5.178      0.000
    64        21   (g)                -33    62    63   156   157   123   124      0.896      0.475     -4.927      5.030      0.000
    65        21   (g)                -33    62    63   158   158   124   122     -0.896     -0.475      1.090      1.489      0.000
    66        21   (g)                -51    53     0    89    89   125   115     -1.536      1.933     -0.364      2.496      0.000
    67        21   (g)                -51    53     0    91    91   116   125      0.181     -0.472      0.166      0.532      0.000
    68        21   (g)                -53    87    87    51    51   116   119      0.000      0.000    -54.032     54.032      0.000
    69        -2   (ubar)             -41   251   251    75    16     0   126     -0.000     -0.000    478.737    478.737      0.000
    70         2   (u)                -42   179   179    28    28   102     0      0.000      0.000  -1974.541   1974.541      0.000
    71   5000023   (Z_KK)             -44     8     8   253   253     0     0      6.549     68.988  -1290.624   2134.205   1698.328
    72        21   (g)                -44    26    26   139   139   111   107     -3.756    -46.101   -169.606    175.800      0.000
    73        21   (g)                -44    15    15   131   132   107   101     -4.463    -14.526    -43.365     45.951      0.000
    74        21   (g)                -44    27    27   137   138   102   111      0.715     -8.597    -44.346     45.177      0.000
    75        21   (g)                -43    69     0   133   133   101   126      0.956      0.236     52.136     52.146      0.000
    76        21   (g)                -51    47     0    98    98   118   127     -1.783      0.602     99.033     99.051      0.000
    77        21   (g)                -51    47     0    79    80   127   106     -3.350     -1.595    263.608    263.634      0.000
    78         1   (d)                -52    25    25    81    81   106     0      2.048      1.254     17.082     17.253      0.330
    79        21   (g)                -51    77     0   103   103   127   128     -2.450     -0.150    161.674    161.693      0.000
    80        21   (g)                -51    77     0   104   104   128   106     -0.834     -1.404    102.468    102.481      0.000
    81         1   (d)                -52    78    78   100   100   106     0      1.981      1.214     16.547     16.713      0.330
    82        21   (g)                -31   330   330    84    85   130   129      0.000      0.000     13.228     13.228      0.000
    83        21   (g)                -31   331   331    84    85   132   131      0.000      0.000     -0.296      0.296      0.000
    84        21   (g)                -33    82    83   332   332   132   129      0.668     -0.617     12.472     12.505      0.000
    85        21   (g)                -33    82    83   333   333   130   131     -0.668      0.617      0.460      1.019      0.000
    86        21   (g)                -41   121   121    92    50   114   133      0.000     -0.000     10.205     10.205      0.000
    87        21   (g)                -42   122     0    68    68   116   119     -0.000      0.000    -54.032     54.032      0.000
    88        21   (g)                -44    52    52   112   113   114   117     -0.037     -0.609      8.265      8.287      0.000
    89        21   (g)                -44    66    66   120   120   125   115     -1.559      2.023     -0.447      2.593      0.000
    90        21   (g)                -44    54    54   114   114   117   119      1.212     -0.158    -51.978     51.992      0.000
    91        21   (g)                -44    67    67   118   119   116   125      0.173     -0.443      0.191      0.512      0.000
    92        21   (g)                -43    86     0   127   127   115   133      0.212     -0.813      0.142      0.852      0.000
    93        21   (g)                -51    57     0   115   116   134   110     -0.865     -2.340      4.595      5.229      0.000
    94        21   (g)                -51    57     0   159   160   108   134      0.335      0.406      0.853      1.003      0.000
    95        21   (g)                -52    61    61   174   175   120   108      0.798     -0.683    -12.923     12.966      0.000
    96        21   (g)                -41   270   270   105    49   103   135      0.000      0.000    440.160    440.160      0.000
    97         1   (d)                -42   271   271    22    22   105     0      0.000     -0.000     -0.558      0.558      0.000
    98        21   (g)                -44    76    76   272   272   118   127     -1.899      0.760     99.960     99.981      0.000
    99        21   (g)                -44    40    40   273   273   105   113      1.349     -0.481      0.957      1.722      0.000
   100         1   (d)                -44    81    81   108   108   106     0      1.962      1.240     16.704     16.868      0.330
   101        21   (g)                -44    41    41   134   135   113   104      1.696      0.630     14.247     14.362      0.000
   102        21   (g)                -44    48    48   276   276   103   118      0.012     -0.374      7.747      7.756      0.000
   103        21   (g)                -44    79    79   150   151   127   128     -2.640      0.108    163.188    163.210      0.000
   104        21   (g)                -44    80    80   106   107   128   106     -0.954     -1.240    103.429    103.441      0.000
   105        21   (g)                -43    96     0   136   136   104   135      0.473     -0.645     33.369     33.379      0.000
   106        21   (g)                -51   104     0   109   110   128   136     -0.294      0.456      7.888      7.907      0.000
   107        21   (g)                -51   104     0   111   111   136   106     -0.420     -1.544     97.503     97.516      0.000
   108         1   (d)                -52   100   100   274   274   106     0      1.722      1.089     14.742     14.886      0.330
   109        21   (g)                -51   106     0   152   152   128   137     -0.831     -0.854     54.676     54.689      0.000
   110        21   (g)                -51   106     0   281   281   137   136      0.293      0.415      9.724      9.738      0.000
   111        21   (g)                -52   107   107   280   280   136   106     -0.177     -0.649     40.991     40.997      0.000
   112        21   (g)                -51    88     0   123   123   114   138      0.344     -0.328      8.207      8.221      0.000
   113        21   (g)                -51    88     0   128   128   138   117     -0.361     -0.284     -0.788      0.912      0.000
   114        21   (g)                -52    90    90   125   125   117   119      1.192     -0.155    -51.133     51.147      0.000
   115        21   (g)                -51    93     0   161   161   134   139     -1.195     -2.536      6.220      6.823      0.000
   116        21   (g)                -51    93     0   218   218   139   110      0.342      0.152      2.248      2.279      0.000
   117        21   (g)                -52    59    59   236   237   110   112      0.104     -0.375     32.711     32.714      0.000
   118        21   (g)                -51    91     0   126   126   116   140     -0.292      0.103      0.735      0.798      0.000
   119        21   (g)                -51    91     0   129   129   140   125     -0.206      0.326     -0.736      0.831      0.000
   120        21   (g)                -52    89    89   124   124   125   115     -0.888      1.152     -0.254      1.477      0.000
   121        21   (g)                -42   304   304    86    86   114   133     -0.000      0.000     10.205     10.205      0.000
   122        21   (g)                -41   305   305   130    87   116   141      0.000      0.000   -819.442    819.442      0.000
   123        21   (g)                -44   112   112   147   148   114   138      0.344     -0.328      8.208      8.221      0.000
   124        21   (g)                -44   120   120   209   209   125   115     -0.877      1.149     -0.263      1.469      0.000
   125        21   (g)                -44   114   114   155   155   117   119      1.864     -0.332    -51.136     51.171      0.000
   126        21   (g)                -44   118   118   233   234   116   140     -0.292      0.102      0.733      0.795      0.000
   127        21   (g)                -44    92    92   207   208   115   133      0.217     -0.814      0.145      0.855      0.000
   128        21   (g)                -44   113   113   149   149   138   117     -0.350     -0.287     -0.790      0.910      0.000
   129        21   (g)                -44   119   119   235   235   140   125     -0.196      0.323     -0.738      0.829      0.000
   130        21   (g)                -43   122     0   153   154   119   141     -0.710      0.187   -765.396    765.396      0.000
   131        21   (g)                -51    73     0   180   181   107   142     -4.640    -13.499    -42.174     44.524      0.000
   132        21   (g)                -51    73     0   167   167   142   101      0.179     -1.026     -1.101      1.516      0.000
   133        21   (g)                -52    75    75   165   166   101   126      0.954      0.236     52.047     52.056      0.000
   134        21   (g)                -51   101     0   210   211   113   143      0.861      0.151      4.154      4.245      0.000
   135        21   (g)                -51   101     0   212   212   143   104      0.971      0.294     19.660     19.687      0.000
   136        21   (g)                -52   105   105   279   279   104   135      0.338     -0.460     23.802     23.809      0.000
   137        21   (g)                -51    74     0   177   178   102   144     -0.126     -3.397    -19.588     19.880      0.000
   138        21   (g)                -51    74     0   168   169   144   111      0.711     -6.793    -30.619     31.372      0.000
   139        21   (g)                -52    72    72   170   170   111   107     -3.626    -44.508   -163.745    169.725      0.000
   140        21   (g)                -31   334   334   142   143   145   146      0.000      0.000      0.182      0.182      0.000
   141        -2   (ubar)             -31   335   335   142   143     0   145      0.000      0.000     -4.056      4.056      0.000
   142        21   (g)                -33   140   141   336   336   147   146      0.137     -0.626     -0.571      0.858      0.000
   143        -2   (ubar)             -33   140   141   337   337     0   147     -0.137      0.626     -3.303      3.381      0.330
   144         1   (d)                -51    58     0   288   288   148     0     -0.953      1.913    -34.454     34.522      0.330
   145        21   (g)                -51    58     0   171   172   109   148      0.036      2.769    -36.099     36.205      0.000
   146         1   (d)                -53   173   173    55    55   109     0     -0.000      0.000    120.493    120.493      0.000
   147         2   (u)                -51   123     0   306   306   114     0      0.337     -0.033      7.688      7.703      0.330
   148        -2   (ubar)             -51   123     0   314   314     0   138     -0.036     -0.330      0.422      0.630      0.330
   149        21   (g)                -52   128   128   192   193   138   117     -0.307     -0.252     -0.693      0.798      0.000
   150        21   (g)                -51   103     0   277   277   127   149     -1.308      0.400     69.262     69.275      0.000
   151        21   (g)                -51   103     0   283   283   149   128     -1.865     -0.840    129.039    129.055      0.000
   152        21   (g)                -52   109   109   278   278   128   137     -0.297     -0.305     19.563     19.568      0.000
   153        21   (g)                -51   130     0   313   313   150   141     -1.063      0.232   -541.749    541.750      0.000
   154        21   (g)                -51   130     0   164   164   119   150      0.413     -0.056   -225.291    225.292      0.000
   155        21   (g)                -52   125   125   162   163   117   119      1.804     -0.321    -49.491     49.525      0.000
   156        21   (g)                -51    64     0   203   203   123   151      0.468      0.427     -4.810      4.851      0.000
   157        21   (g)                -51    64     0   201   202   151   124      0.334     -0.001     -0.004      0.334      0.000
   158        21   (g)                -52    65    65   204   205   124   122     -0.802     -0.426      0.976      1.334      0.000
   159        21   (g)                -51    94     0   191   191   108   152      0.316     -0.298      0.215      0.484      0.000
   160        21   (g)                -51    94     0   186   187   152   134     -0.257      0.118      2.077      2.096      0.000
   161        21   (g)                -52   115   115   188   188   134   139     -0.919     -1.950      4.782      5.245      0.000
   162        21   (g)                -51   155     0   194   194   117   153      1.860     -0.315    -72.531     72.556      0.000
   163        21   (g)                -51   155     0   195   196   153   119     -0.014     -0.012     -0.014      0.023      0.000
   164        21   (g)                -52   154   154   200   200   119   150      0.371     -0.050   -202.238    202.238      0.000
   165        21   (g)                -51   133     0   242   243   154   126      0.302      0.102     45.793     45.794      0.000
   166        21   (g)                -51   133     0   244   244   101   154      0.654      0.123      6.242      6.278      0.000
   167        21   (g)                -52   132   132   183   184   142   101      0.177     -1.016     -1.090      1.500      0.000
   168        21   (g)                -51   138     0   239   240   144   155      0.426     -8.325    -37.300     38.220      0.000
   169        21   (g)                -51   138     0   241   241   155   111     -0.065     -2.770     -9.147      9.557      0.000
   170        21   (g)                -52   139   139   182   182   111   107     -3.276    -40.206   -147.918    153.319      0.000
   171        21   (g)                -51   145     0   294   294   156   148      0.506      0.253     -4.937      4.970      0.000
   172        21   (g)                -51   145     0   222   223   109   156     -0.470      2.516    -31.146     31.251      0.000
   173         1   (d)                -53   224   224   146   146   109     0     -0.000      0.000    120.509    120.509      0.000
   174        21   (g)                -51    95     0   189   190   157   108      0.675     -0.034    -18.880     18.892      0.000
   175        21   (g)                -51    95     0   297   297   120   157      0.122     -0.649     -7.128      7.159      0.000
   176         1   (d)                -53   286   286    56    56   120     0      0.000     -0.000    -97.072     97.072      0.000
   177        21   (g)                -51   137     0   256   256   158   144      0.163     -3.337    -22.002     22.254      0.000
   178        21   (g)                -51   137     0   262   262   102   158     -0.289     -0.060     -1.052      1.092      0.000
   179         2   (u)                -53   252   252    70    70   102     0     -0.000     -0.000  -1978.007   1978.007      0.000
   180        21   (g)                -51   131     0   185   185   159   142     -2.754     -8.262    -24.390     25.898      0.000
   181        21   (g)                -51   131     0   263   263   107   159     -1.950     -6.022    -20.671     21.618      0.000
   182        21   (g)                -52   170   170   254   254   111   107     -3.212    -39.421   -145.031    150.328      0.000
   183        21   (g)                -51   167     0   245   246   160   101     -0.243     -1.940     -3.239      3.783      0.000
   184        21   (g)                -51   167     0   219   220   142   160      0.131      0.057     -0.412      0.436      0.000
   185        21   (g)                -52   180   180   221   221   159   142     -2.465     -7.394    -21.829     23.179      0.000
   186        21   (g)                -51   160     0   295   295   152   161     -0.728     -0.312      3.557      3.644      0.000
   187        21   (g)                -51   160     0   298   298   161   134      0.067     -0.429      0.625      0.761      0.000
   188        21   (g)                -52   161   161   216   217   134   139     -0.514     -1.091      2.676      2.936      0.000
   189        21   (g)                -51   174     0   291   291   157   162      0.698      0.007     -6.721      6.757      0.000
   190        21   (g)                -51   174     0   215   215   162   108     -0.012     -0.052    -12.151     12.152      0.000
   191        21   (g)                -52   159   159   213   214   108   152      0.305     -0.287      0.207      0.468      0.000
   192        21   (g)                -51   149     0   311   311   138   163      0.246      0.139     -0.710      0.764      0.000
   193        21   (g)                -51   149     0   317   317   163   117     -0.461     -0.406     -3.550      3.603      0.000
   194        21   (g)                -52   162   162   197   197   117   153      1.769     -0.299    -68.964     68.987      0.000
   195        21   (g)                -51   163     0   198   199   164   119      1.058      0.126    -29.922     29.941      0.000
   196        21   (g)                -51   163     0   318   318   153   164     -0.013     -0.317    -11.382     11.387      0.000
   197        21   (g)                -52   194   194   308   308   117   153      0.710     -0.120    -27.673     27.682      0.000
   198        21   (g)                -51   195     0   316   316   164   165      1.180      0.327    -51.051     51.066      0.000
   199        21   (g)                -51   195     0   319   319   165   119     -0.073     -0.208     -5.627      5.631      0.000
   200        21   (g)                -52   164   164   315   315   119   150      0.322     -0.044   -175.482    175.482      0.000
   201        21   (g)                -51   157     0   206   206   166   124      0.135      0.478     -0.491      0.698      0.000
   202        21   (g)                -51   157     0   230   230   151   166      0.327     -0.363     -0.820      0.955      0.000
   203        21   (g)                -52   156   156   227   227   123   151      0.341      0.311     -3.502      3.533      0.000
   204        -2   (ubar)             -51   158     0   228   228     0   122     -0.594     -0.117      0.218      0.723      0.330
   205         2   (u)                -51   158     0   231   231   124     0     -0.177     -0.198      0.645      0.772      0.330
   206        21   (g)                -52   201   201   229   229   166   124      0.103      0.367     -0.377      0.536      0.000
   207        21   (g)                -51   127     0   310   310   167   133      0.088     -0.753     -0.223      0.790      0.000
   208        21   (g)                -51   127     0   320   320   115   167     -0.049      0.171      0.315      0.362      0.000
   209        21   (g)                -52   124   124   307   307   125   115     -0.699      0.917     -0.209      1.172      0.000
   210        21   (g)                -51   134     0   275   275   113   168      1.377      0.208     10.589     10.680      0.000
   211        21   (g)                -51   134     0   284   284   168   143     -0.141      0.056      1.154      1.164      0.000
   212        21   (g)                -52   135   135   282   282   143   104      0.596      0.181     12.072     12.088      0.000
   213        21   (g)                -51   191     0   292   292   169   152      0.499     -0.502     -0.087      0.713      0.000
   214        21   (g)                -51   191     0   300   300   108   169     -0.195      0.210     -0.818      0.867      0.000
   215        21   (g)                -52   190   190   299   299   162   108     -0.011     -0.047    -11.039     11.039      0.000
   216        21   (g)                -51   188     0   287   287   134   170     -0.494     -0.641      1.273      1.508      0.000
   217        21   (g)                -51   188     0   301   301   170   139      0.114     -0.391      2.285      2.321      0.000
   218        21   (g)                -52   116   116   238   238   139   110      0.208      0.093      1.367      1.385      0.000
   219        21   (g)                -51   184     0   264   264   171   160     -0.130     -0.535     -3.203      3.250      0.000
   220        21   (g)                -51   184     0   248   249   142   171     -0.232     -0.888     -1.580      1.827      0.000
   221        21   (g)                -52   185   185   250   250   159   142     -1.972     -5.914    -17.458     18.538      0.000
   222        21   (g)                -51   172     0   296   296   172   156     -0.072      2.506    -28.030     28.142      0.000
   223        21   (g)                -51   172     0   302   302   109   172     -0.398      0.010     -3.100      3.125      0.000
   224         1   (d)                -53   285   285   173   173   109     0     -0.000      0.000    120.525    120.525      0.000
   225        21   (g)                -41   322   322   232    62   121   173     -0.000     -0.000     23.253     23.253      0.000
   226        21   (g)                -42   323   323    63    63   123   121      0.000      0.000     -5.178      5.178      0.000
   227        21   (g)                -44   203   203   324   324   123   151      0.338      0.307     -3.406      3.437      0.000
   228        -2   (ubar)             -44   204   204   325   325     0   122     -0.689     -0.232      0.138      0.810      0.330
   229        21   (g)                -44   206   206   326   326   166   124      0.087      0.348     -0.320      0.481      0.000
   230        21   (g)                -44   202   202   327   327   151   166      0.313     -0.380     -0.827      0.962      0.000
   231         2   (u)                -44   205   205   328   328   124     0     -0.319     -0.372      0.590      0.836      0.330
   232        21   (g)                -43   225     0   329   329   122   173      0.270      0.329     21.901     21.905      0.000
   233        21   (g)                -51   126     0   309   309   116   175      0.123      0.057      0.554      0.570      0.000
   234        21   (g)                -51   126     0   321   321   175   140     -0.483      0.159     -0.079      0.515      0.000
   235        21   (g)                -52   129   129   312   312   140   125     -0.127      0.210     -0.480      0.539      0.000
   236        21   (g)                -51   117     0   289   289   176   112      0.357     -0.351     32.556     32.559      0.000
   237        21   (g)                -51   117     0   303   303   110   176     -0.131      0.030      0.955      0.965      0.000
   238        21   (g)                -52   218   218   293   293   139   110      0.086      0.038      0.567      0.575      0.000
   239        21   (g)                -51   168     0   259   259   144   179     -0.072     -5.021    -23.149     23.688      0.000
   240        21   (g)                -51   168     0   266   266   179   155      0.477     -4.186    -17.063     17.575      0.000
   241        21   (g)                -52   169   169   261   261   155   111     -0.044     -1.888     -6.234      6.514      0.000
   242        21   (g)                -51   165     0   257   257   180   126      0.214      0.415     37.817     37.820      0.000
   243        21   (g)                -51   165     0   267   267   154   180      0.263     -0.280      9.637      9.645      0.000
   244        21   (g)                -52   166   166   247   247   101   154      0.480      0.090      4.581      4.607      0.000
   245        21   (g)                -51   183     0   258   258   160   181     -0.480     -1.000     -2.094      2.369      0.000
   246        21   (g)                -51   183     0   268   268   181   101      0.242     -0.939     -1.096      1.463      0.000
   247        21   (g)                -52   244   244   260   260   101   154      0.475      0.089      4.532      4.557      0.000
   248        21   (g)                -51   220     0   265   265   182   171      0.006     -0.819     -2.612      2.737      0.000
   249        21   (g)                -51   220     0   269   269   142   182     -1.337     -3.365     -8.698      9.421      0.000
   250        21   (g)                -52   221   221   255   255   159   142     -0.873     -2.618     -7.729      8.207      0.000
   251        -2   (ubar)             -61     1     0    69    69     0   103     -4.545     -1.419    478.727    478.751      0.000
   252         2   (u)                -61     2     0   179   179   119     0     -2.186      1.278  -1978.007   1978.008      0.000
   253   5000023   (Z_KK)             -62    71    71   344   345     0     0      0.652     68.844  -1290.480   2134.103   1698.328
   254        21   (g)                -62   182   182   450   450   111   107     -3.400    -39.334   -145.116    150.391      0.000
   255        21   (g)                -62   250   250   370     0   159   142     -0.884     -2.614     -7.737      8.214      0.000
   256        21   (g)                -62   177   177   454   454   158   144      0.137     -3.324    -22.007     22.257      0.000
   257        21   (g)                -62   242   242   394   394   180   103     -0.145      0.302     37.818     37.819      0.000
   258        21   (g)                -62   245   245   445   445   160   151     -0.483     -0.999     -2.098      2.373      0.000
   259        21   (g)                -62   239   239   453   453   144   179     -0.100     -5.007    -23.159     23.694      0.000
   260        21   (g)                -62   247   247   352     0   101   132      0.431      0.076      4.534      4.555      0.000
   261        21   (g)                -62   241   241   451   451   155   111     -0.052     -1.884     -6.238      6.516      0.000
   262        21   (g)                -62   178   178   360     0   102   108     -0.290     -0.059     -1.053      1.094      0.000
   263        21   (g)                -62   181   181   449   449   107   159     -1.978     -6.009    -20.690     21.635      0.000
   264        21   (g)                -62   219   219   365     0   171   163     -0.134     -0.533     -3.204      3.251      0.000
   265        21   (g)                -62   248   248   447   447   182   171      0.002     -0.817     -2.613      2.738      0.000
   266        21   (g)                -62   240   240   452   452   179   155      0.455     -4.175    -17.068     17.577      0.000
   267        21   (g)                -62   243   243   351     0   154   176      0.171     -0.308      9.638      9.644      0.000
   268        21   (g)                -62   246   246   364     0   181   167      0.239     -0.939     -1.096      1.463      0.000
   269        21   (g)                -62   249   249   370     0   142   182     -1.350     -3.360     -8.709      9.432      0.000
   270        21   (g)                -61     1     0    96    96   103   135      1.817      0.880    441.749    441.754      0.000
   271         1   (d)                -61     2     0    97    97   105     0      1.501     -0.079      0.451      1.569      0.000
   272        21   (g)                -62    98    98   350     0   118   127     -1.469      0.954     97.733     97.748      0.000
   273        21   (g)                -62    99    99   513   513   105   113      2.391     -0.529      3.501      4.273      0.000
   274         1   (d)                -62   108   108   388   388   106     0      1.986      1.112     17.159     17.313      0.330
   275        21   (g)                -62   210   210   512   512   113   168      1.551      0.227     12.545     12.642      0.000
   276        21   (g)                -62   102   102   393   393   103   118      0.056     -0.359      7.827      7.835      0.000
   277        21   (g)                -62   150   150   350     0   127   149     -1.011      0.534     67.737     67.747      0.000
   278        21   (g)                -62   152   152   353     0   128   137     -0.212     -0.267     19.261     19.264      0.000
   279        21   (g)                -62   136   136   509   509   104   135      0.447     -0.412     24.381     24.389      0.000
   280        21   (g)                -62   111   111   389   389   136   106     -0.001     -0.568     40.954     40.958      0.000
   281        21   (g)                -62   110   110   390   390   137   136      0.353      0.434     10.135     10.150      0.000
   282        21   (g)                -62   212   212   510   510   143   104      0.671      0.205     12.917     12.936      0.000
   283        21   (g)                -62   151   151   353     0   149   128     -1.321     -0.588    127.075    127.083      0.000
   284        21   (g)                -62   211   211   511   511   168   143     -0.124      0.057      0.973      0.983      0.000
   285         1   (d)                -61     1     0   224   224   135     0      0.308     -1.218    120.519    120.525      0.000
   286         1   (d)                -61     2     0   176   176   112     0     -1.471      0.390    -97.065     97.077      0.000
   287        21   (g)                -62   216   216   356     0   134   152     -0.492     -0.654      1.273      1.513      0.000
   288         1   (d)                -62   144   144   508   508   135     0     -1.476      2.051    -34.429     34.524      0.330
   289        21   (g)                -62   236   236   354     0   176   180      0.440     -0.680     32.548     32.558      0.000
   290         1   (d)                -62    60    60   417   417   112     0      0.733     -2.435     77.929     77.971      0.330
   291        21   (g)                -62   189   189   363     0   157   156      0.596      0.034     -6.726      6.753      0.000
   292        21   (g)                -62   213   213   368     0   169   130      0.494     -0.504     -0.095      0.712      0.000
   293        21   (g)                -62   238   238   349     0   139   101      0.088      0.033      0.567      0.574      0.000
   294        21   (g)                -62   171   171   363     0   156   172      0.431      0.273     -4.940      4.966      0.000
   295        21   (g)                -62   186   186   355     0   152   110     -0.720     -0.348      3.561      3.650      0.000
   296        21   (g)                -62   222   222   362     0   172   123     -0.497      2.619    -28.010     28.136      0.000
   297        21   (g)                -62   175   175   455   455   120   158      0.014     -0.620     -7.133      7.160      0.000
   298        21   (g)                -62   187   187   356     0   161   134      0.068     -0.436      0.621      0.762      0.000
   299        21   (g)                -62   215   215   371     0   162   165     -0.178     -0.002    -11.038     11.039      0.000
   300        21   (g)                -62   214   214   358     0   108   140     -0.207      0.213     -0.815      0.868      0.000
   301        21   (g)                -62   217   217   378   378   170   114      0.120     -0.414      2.281      2.322      0.000
   302        21   (g)                -62   223   223   360     0   109   102     -0.445      0.022     -3.096      3.128      0.000
   303        21   (g)                -62   237   237   355     0   110   170     -0.129      0.021      0.957      0.965      0.000
   304        21   (g)                -61     1     0   121   121   141   141      1.046      0.112     10.177     10.232      0.000
   305        21   (g)                -61     2     0   122   122   133   133     -0.964     -1.884   -819.452    819.455      0.000
   306         2   (u)                -62   147   147   377   377   114     0      1.126      0.051      7.650      7.740      0.330
   307        21   (g)                -62   209   209   369     0   125   175     -0.651      0.921     -0.181      1.142      0.000
   308        21   (g)                -62   197   197   367     0   117   157      0.678     -0.184    -27.709     27.718      0.000
   309        21   (g)                -62   233   233   349     0   116   139      0.181      0.063      0.546      0.578      0.000
   310        21   (g)                -62   207   207   443   443   167   169      0.117     -0.751     -0.224      0.792      0.000
   311        21   (g)                -62   192   192   366     0   138   120      0.248      0.137     -0.723      0.777      0.000
   312        21   (g)                -62   235   235   358     0   140   166     -0.125      0.209     -0.475      0.534      0.000
   313        21   (g)                -62   153   153   463   463   150   162     -1.700     -1.013   -541.702    541.706      0.000
   314        -2   (ubar)             -62   148   148   398   398     0   116      0.018     -0.325      0.425      0.629      0.330
   315        21   (g)                -62   200   200   372     0   119   150      0.115     -0.447   -175.500    175.501      0.000
   316        21   (g)                -62   198   198   367     0   164   117      1.120      0.210    -51.115     51.128      0.000
   317        21   (g)                -62   193   193   365     0   163   160     -0.463     -0.414     -3.524      3.578      0.000
   318        21   (g)                -62   196   196   359     0   153   164     -0.026     -0.343    -11.380     11.385      0.000
   319        21   (g)                -62   199   199   359     0   165   153     -0.079     -0.221     -5.622      5.627      0.000
   320        21   (g)                -62   208   208   357     0   115   161     -0.014      0.174      0.316      0.361      0.000
   321        21   (g)                -62   234   234   369     0   175   147     -0.461      0.160     -0.056      0.492      0.000
   322        21   (g)                -61     1     0   225   225   121   121      0.394     -0.951     23.248     23.271      0.000
   323        21   (g)                -61     2     0   226   226   173   173     -0.673     -0.117     -5.150      5.196      0.000
   324        21   (g)                -62   227   227   362     0   123   109     -0.106      0.230     -3.410      3.420      0.000
   325        -2   (ubar)             -62   228   228   357     0     0   115     -0.724     -0.261      0.188      0.858      0.330
   326        21   (g)                -62   229   229   366     0   166   138      0.037      0.336     -0.322      0.466      0.000
   327        21   (g)                -62   230   230   364     0   151   181      0.198     -0.402     -0.849      0.960      0.000
   328         2   (u)                -62   231   231   361     0   124     0     -0.323     -0.405      0.611      0.866      0.330
   329        21   (g)                -62   232   232   351     0   122   154      0.640     -0.566     21.880     21.896      0.000
   330        21   (g)                -61     1     0    82    82   131   131      0.466     -0.108     12.852     12.861      0.000
   331        21   (g)                -61     2     0    83    83   129   129      1.519     -0.891      1.977      2.648      0.000
   332        21   (g)                -62    84    84   396   396   132   122      1.280     -0.792     14.682     14.759      0.000
   333        21   (g)                -62    85    85   368     0   130   125      0.705     -0.207      0.147      0.750      0.000
   334        21   (g)                -61     1     0   140   140   105   146     -0.379      0.653     -0.515      0.914      0.000
   335        -2   (ubar)             -61     2     0   141   141     0   105      0.282      0.847     -4.630      4.715      0.000
   336        21   (g)                -62   142   142   361     0   147   124     -0.155     -0.181     -0.036      0.241      0.000
   337        -2   (ubar)             -62   143   143   430   430     0   146      0.058      1.681     -5.109      5.388      0.330
   338      2203   (uu_1)             -63     1     0   514   514     0   105      0.728      1.342   4824.531   4824.531      0.771
   339         2   (u)                -63     1     0   429   429   146     0      0.165      0.710   1084.473   1084.473      0.330
   340      2101   (ud_0)             -63     2     0   374   374     0   185     -0.337      0.174  -2465.767   2465.767      0.579
   341        -1   (dbar)             -63     2     0   418   418     0   112      1.023      0.242     -4.478      4.612      0.330
   342        -1   (dbar)             -63     2     0   372     0     0   119      0.194     -0.039   -446.857    446.858      0.330
   343         2   (u)                -63     2     0   373   373   185     0      1.111      0.079  -1176.784   1176.784      0.330
   344       -13   (mu+)              -23   253     0   348   348     0     0   -791.735   -156.428   -338.434    875.129      0.106
   345        13   (mu-)              -23   253     0   346   347     0     0    792.387    225.272   -952.046   1258.974      0.106
   346        13   mu-                 51   345     0     0     0     0     0    792.387    225.272   -952.046   1258.974      0.106
   347        22   gamma               51   345     0     0     0     0     0      0.000      0.000     -0.000      0.000      0.000
   348       -13   mu+                 52   344   344     0     0     0     0   -791.735   -156.428   -338.434    875.129      0.106
   349        21   (g)                -73   293   309   352     0   116   101      0.268      0.095      1.112      1.152      0.100
   350        21   (g)                -73   272   277   392   392   118   149     -2.480      1.488    165.470    165.495      0.153
   351        21   (g)                -73   267   329   354     0   122   176      0.812     -0.874     31.517     31.541      0.190
   352        21   (g)                -73   260   349   397   397   116   132      0.700      0.171      5.646      5.707      0.421
   353        21   (g)                -73   278   283   391   391   149   137     -1.533     -0.855    146.336    146.348      0.459
   354        21   (g)                -73   289   351   395   395   122   180      1.252     -1.554     64.066     64.099      0.524
   355        21   (g)                -73   295   303   379   379   152   170     -0.849     -0.328      4.518      4.616      0.251
   356        21   (g)                -73   287   298   380   380   161   152     -0.425     -1.090      1.894      2.275      0.470
   357        -2   (ubar)             -73   320   325   381   381     0   161     -0.738     -0.086      0.504      1.219      0.825
   358        21   (g)                -73   300   312   457   457   108   166     -0.332      0.423     -1.290      1.402      0.105
   359        21   (g)                -73   318   319   371     0   165   164     -0.105     -0.564    -17.001     17.011      0.120
   360        21   (g)                -73   262   302   458   458   109   108     -0.736     -0.037     -4.149      4.222      0.259
   361         2   (u)                -73   328   336   440   440   147     0     -0.478     -0.586      0.575      1.107      0.569
   362        21   (g)                -73   296   324   459   459   172   109     -0.603      2.848    -31.420     31.556      0.287
   363        21   (g)                -73   291   294   460   460   157   172      1.027      0.307    -11.666     11.719      0.290
   364        21   (g)                -73   268   327   444   444   151   167      0.436     -1.341     -1.945      2.423      0.313
   365        21   (g)                -73   264   317   446   446   171   160     -0.597     -0.947     -6.728      6.829      0.343
   366        21   (g)                -73   311   326   456   456   166   120      0.285      0.473     -1.045      1.243      0.386
   367        21   (g)                -73   308   316   461   461   164   157      1.798      0.026    -78.825     78.846      0.415
   368        21   (g)                -73   292   333   442   442   169   125      1.199     -0.711      0.052      1.462      0.436
   369        21   (g)                -73   307   321   441   441   125   147     -1.112      1.081     -0.236      1.633      0.455
   370        21   (g)                -73   255   269   448   448   159   182     -2.234     -5.974    -16.447     17.647      0.487
   371        21   (g)                -73   299   359   462   462   162   164     -0.283     -0.567    -28.039     28.051      0.496
   372        -1   (dbar)             -73   315   342   464   464     0   150      0.310     -0.486   -622.358    622.359      0.794
   373         2   (u)                -71   343   343   375   376   185     0      1.111      0.079  -1176.784   1176.784      0.330
   374      2101   (ud_0)             -71   340   340   375   376     0   185     -0.337      0.174  -2465.767   2465.767      0.579
   375       213   (rho+)             -83   373   374   538   539     0     0      0.904      0.344  -1620.403   1620.403      0.714
   376      2112   n0                  84   373   374     0     0     0     0     -0.130     -0.091  -2022.148   2022.149      0.940
   377         2   (u)                -71   306   306   382   387   114     0      1.126      0.051      7.650      7.740      0.330
   378        21   (g)                -71   301   301   382   387   170   114      0.120     -0.414      2.281      2.322      0.000
   379        21   (g)                -71   355   355   382   387   152   170     -0.849     -0.328      4.518      4.616      0.251
   380        21   (g)                -71   356   356   382   387   161   152     -0.425     -1.090      1.894      2.275      0.470
   381        -2   (ubar)             -71   357   357   382   387     0   161     -0.738     -0.086      0.504      1.219      0.825
   382       223   (omega)            -83   377   381   610   612     0     0      0.991     -0.531      6.673      6.814      0.793
   383       221   (eta)              -83   377   381   613   615     0     0     -0.691      0.382      3.476      3.606      0.548
   384       111   (pi0)              -83   377   381   616   617     0     0      0.311     -0.870      4.354      4.453      0.135
   385       211   pi+                 84   377   381     0     0     0     0     -0.232      0.106      0.044      0.294      0.140
   386      -211   pi-                 84   377   381     0     0     0     0     -1.325     -0.889      2.255      2.766      0.140
   387       111   (pi0)              -84   377   381   618   619     0     0      0.180     -0.065      0.046      0.238      0.135
   388         1   (d)                -71   274   274   399   416   106     0      1.986      1.112     17.159     17.313      0.330
   389        21   (g)                -71   280   280   399   416   136   106     -0.001     -0.568     40.954     40.958      0.000
   390        21   (g)                -71   281   281   399   416   137   136      0.353      0.434     10.135     10.150      0.000
   391        21   (g)                -71   353   353   399   416   149   137     -1.533     -0.855    146.336    146.348      0.459
   392        21   (g)                -71   350   350   399   416   118   149     -2.480      1.488    165.470    165.495      0.153
   393        21   (g)                -71   276   276   399   416   103   118      0.056     -0.359      7.827      7.835      0.000
   394        21   (g)                -71   257   257   399   416   180   103     -0.145      0.302     37.818     37.819      0.000
   395        21   (g)                -71   354   354   399   416   122   180      1.252     -1.554     64.066     64.099      0.524
   396        21   (g)                -71   332   332   399   416   132   122      1.280     -0.792     14.682     14.759      0.000
   397        21   (g)                -71   352   352   399   416   116   132      0.700      0.171      5.646      5.707      0.421
   398        -2   (ubar)             -71   314   314   399   416     0   116      0.018     -0.325      0.425      0.629      0.330
   399       111   (pi0)              -83   388   398   620   621     0     0      1.048      0.598      9.707      9.783      0.135
   400       311   (K0)               -83   388   398   540   540     0     0      0.262      0.109      7.736      7.757      0.498
   401      -313   (K*bar0)           -83   388   398   541   542     0     0      0.111     -0.107     15.072     15.096      0.835
   402       111   (pi0)              -83   388   398   622   623     0     0      0.289      0.082      5.809      5.819      0.135
   403       311   (K0)               -83   388   398   543   543     0     0      0.218     -0.032     28.192     28.197      0.498
   404      -321   K-                  83   388   398     0     0     0     0     -0.344     -0.226     19.694     19.704      0.494
   405       211   pi+                 83   388   398     0     0     0     0      0.320      0.007      3.374      3.392      0.140
   406      -213   (rho-)             -84   388   398   544   545     0     0     -1.010      0.373     70.278     70.293      0.947
   407       211   pi+                 84   388   398     0     0     0     0     -0.613     -0.240     40.148     40.154      0.140
   408      -213   (rho-)             -84   388   398   546   547     0     0     -0.168      0.410     26.910     26.923      0.684
   409       213   (rho+)             -84   388   398   548   549     0     0     -0.592     -0.145     75.137     75.144      0.757
   410      -211   pi-                 84   388   398     0     0     0     0     -0.115      0.073      7.585      7.588      0.140
   411      3214   (Sigma*0)          -84   388   398   550   551     0     0     -0.480      0.517     98.990     99.002      1.408
   412       323   (K*+)              -84   388   398   552   553     0     0     -0.023     -0.706     34.772     34.790      0.871
   413     -2212   pbar-               84   388   398     0     0     0     0      1.217     -0.163     24.337     24.386      0.938
   414       221   (eta)              -84   388   398   624   626     0     0      0.061     -0.870     26.090     26.110      0.548
   415      3222   (Sigma+)           -84   388   398   627   628     0     0      0.845     -0.303     12.484     12.572      1.189
   416     -3222   (Sigmabar-)        -84   388   398   629   630     0     0      0.459     -0.321      4.202      4.403      1.189
   417         1   (d)                -71   290   290   419   428   112     0      0.733     -2.435     77.929     77.971      0.330
   418        -1   (dbar)             -71   341   341   419   428     0   112      1.023      0.242     -4.478      4.612      0.330
   419       111   (pi0)              -83   417   418   631   632     0     0      0.379     -1.212     25.489     25.521      0.135
   420      -211   pi-                 83   417   418     0     0     0     0      0.024      0.176     15.015     15.017      0.140
   421       213   (rho+)             -83   417   418   554   555     0     0      0.401     -1.418     22.637     22.701      0.855
   422      -213   (rho-)             -83   417   418   556   557     0     0     -0.146      0.086      9.522      9.562      0.856
   423       111   (pi0)              -83   417   418   633   634     0     0      0.132     -0.393      3.426      3.454      0.135
   424       111   (pi0)              -84   417   418   635   636     0     0      0.169      0.442      0.233      0.544      0.135
   425       113   (rho0)             -84   417   418   558   559     0     0     -0.051      0.112      1.065      1.287      0.711
   426       111   (pi0)              -84   417   418   637   638     0     0     -0.119      0.058     -0.149      0.240      0.135
   427       113   (rho0)             -84   417   418   560   561     0     0      0.182     -0.043     -1.096      1.448      0.927
   428       211   pi+                 84   417   418     0     0     0     0      0.784     -0.002     -2.693      2.808      0.140
   429         2   (u)                -71   339   339   431   439   146     0      0.165      0.710   1084.473   1084.473      0.330
   430        -2   (ubar)             -71   337   337   431   439     0   146      0.058      1.681     -5.109      5.388      0.330
   431      3222   (Sigma+)           -83   429   430   639   640     0     0      0.140      0.338    511.110    511.111      1.189
   432     -3222   (Sigmabar-)        -83   429   430   641   642     0     0      0.073      0.669    487.385    487.387      1.189
   433       223   (omega)            -83   429   430   643   645     0     0      0.010     -0.266     44.078     44.086      0.783
   434       211   pi+                 83   429   430     0     0     0     0     -0.091     -0.020      0.506      0.533      0.140
   435      -213   (rho-)             -84   429   430   562   563     0     0      0.314     -0.050     40.065     40.074      0.781
   436      2212   p+                  84   429   430     0     0     0     0     -0.142      0.227      0.441      1.071      0.938
   437     -2112   nbar0               84   429   430     0     0     0     0     -0.701      0.308     -2.020      2.356      0.940
   438      -213   (rho-)             -84   429   430   564   565     0     0      0.704      0.708     -0.422      1.241      0.603
   439       223   (omega)            -84   429   430   646   648     0     0     -0.085      0.477     -1.778      2.003      0.785
   440         2   (u)                -71   361   361   465   507   147     0     -0.478     -0.586      0.575      1.107      0.569
   441        21   (g)                -71   369   369   465   507   125   147     -1.112      1.081     -0.236      1.633      0.455
   442        21   (g)                -71   368   368   465   507   169   125      1.199     -0.711      0.052      1.462      0.436
   443        21   (g)                -71   310   310   465   507   167   169      0.117     -0.751     -0.224      0.792      0.000
   444        21   (g)                -71   364   364   465   507   151   167      0.436     -1.341     -1.945      2.423      0.313
   445        21   (g)                -71   258   258   465   507   160   151     -0.483     -0.999     -2.098      2.373      0.000
   446        21   (g)                -71   365   365   465   507   171   160     -0.597     -0.947     -6.728      6.829      0.343
   447        21   (g)                -71   265   265   465   507   182   171      0.002     -0.817     -2.613      2.738      0.000
   448        21   (g)                -71   370   370   465   507   159   182     -2.234     -5.974    -16.447     17.647      0.487
   449        21   (g)                -71   263   263   465   507   107   159     -1.978     -6.009    -20.690     21.635      0.000
   450        21   (g)                -71   254   254   465   507   111   107     -3.400    -39.334   -145.116    150.391      0.000
   451        21   (g)                -71   261   261   465   507   155   111     -0.052     -1.884     -6.238      6.516      0.000
   452        21   (g)                -71   266   266   465   507   179   155      0.455     -4.175    -17.068     17.577      0.000
   453        21   (g)                -71   259   259   465   507   144   179     -0.100     -5.007    -23.159     23.694      0.000
   454        21   (g)                -71   256   256   465   507   158   144      0.137     -3.324    -22.007     22.257      0.000
   455        21   (g)                -71   297   297   465   507   120   158      0.014     -0.620     -7.133      7.160      0.000
   456        21   (g)                -71   366   366   465   507   166   120      0.285      0.473     -1.045      1.243      0.386
   457        21   (g)                -71   358   358   465   507   108   166     -0.332      0.423     -1.290      1.402      0.105
   458        21   (g)                -71   360   360   465   507   109   108     -0.736     -0.037     -4.149      4.222      0.259
   459        21   (g)                -71   362   362   465   507   172   109     -0.603      2.848    -31.420     31.556      0.287
   460        21   (g)                -71   363   363   465   507   157   172      1.027      0.307    -11.666     11.719      0.290
   461        21   (g)                -71   367   367   465   507   164   157      1.798      0.026    -78.825     78.846      0.415
   462        21   (g)                -71   371   371   465   507   162   164     -0.283     -0.567    -28.039     28.051      0.496
   463        21   (g)                -71   313   313   465   507   150   162     -1.700     -1.013   -541.702    541.706      0.000
   464        -1   (dbar)             -71   372   372   465   507     0   150      0.310     -0.486   -622.358    622.359      0.794
   465       211   pi+                 83   440   464     0     0     0     0     -0.314      0.079     -0.337      0.488      0.140
   466       221   (eta)              -83   440   464   649   651     0     0     -0.261     -0.231      0.533      0.840      0.548
   467      2112   n0                  83   440   464     0     0     0     0     -0.124     -0.217      0.095      0.977      0.940
   468      -211   pi-                 83   440   464     0     0     0     0     -0.283      0.581      0.084      0.667      0.140
   469     -1114   (Deltabar+)        -83   440   464   566   567     0     0      0.250     -1.085     -1.248      2.091      1.254
   470      -211   pi-                 83   440   464     0     0     0     0      0.071     -0.075     -0.046      0.180      0.140
   471       223   (omega)            -83   440   464   652   654     0     0      0.041     -0.378     -0.729      1.125      0.769
   472       213   (rho+)             -83   440   464   568   569     0     0      0.459     -0.790     -0.924      1.476      0.700
   473      -213   (rho-)             -83   440   464   570   571     0     0      0.193     -0.620     -1.490      1.947      1.072
   474       211   pi+                 83   440   464     0     0     0     0     -0.322     -0.597     -1.489      1.642      0.140
   475       113   (rho0)             -83   440   464   572   573     0     0     -1.526     -2.756     -9.644     10.179      0.833
   476      -213   (rho-)             -83   440   464   574   575     0     0     -1.187     -6.434    -21.849     22.841      1.244
   477       221   (eta)              -83   440   464   655   656     0     0     -1.288     -3.553    -11.165     11.800      0.548
   478       211   pi+                 83   440   464     0     0     0     0     -0.258     -1.088     -2.986      3.191      0.140
   479      -211   pi-                 83   440   464     0     0     0     0     -0.300     -2.701     -9.681     10.056      0.140
   480       111   (pi0)              -83   440   464   657   658     0     0     -0.491     -2.643     -8.481      8.898      0.135
   481       213   (rho+)             -83   440   464   576   577     0     0     -1.099    -12.638    -48.707     50.337      0.714
   482       223   (omega)            -83   440   464   659   661     0     0     -1.030    -11.407    -39.984     41.600      0.789
   483       111   (pi0)              -83   440   464   662   663     0     0     -0.463     -4.926    -19.209     19.836      0.135
   484       113   (rho0)             -83   440   464   578   579     0     0     -0.498     -6.260    -26.999     27.728      0.672
   485      -211   pi-                 83   440   464     0     0     0     0      0.233     -1.465     -5.508      5.706      0.140
   486       321   K+                  83   440   464     0     0     0     0     -0.616     -3.607    -14.251     14.721      0.494
   487      -313   (K*bar0)           -83   440   464   580   581     0     0      0.830     -2.639    -14.714     14.995      0.839
   488      3112   (Sigma-)           -83   440   464   664   665     0     0      0.085     -2.122    -10.788     11.060      1.197
   489     -3112   (Sigmabar+)        -83   440   464   666   667     0     0     -0.366     -1.999     -8.289      8.618      1.197
   490      -211   pi-                 83   440   464     0     0     0     0      0.038     -0.728     -7.765      7.801      0.140
   491       211   pi+                 84   440   464     0     0     0     0     -0.248      0.035     -0.969      1.011      0.140
   492      2112   n0                  84   440   464     0     0     0     0     -0.276     -0.583     -7.527      7.612      0.940
   493       213   (rho+)             -84   440   464   582   583     0     0      0.357      0.287     -4.108      4.230      0.897
   494     -3224   (Sigma*bar-)       -84   440   464   584   585     0     0     -0.271      1.196    -14.082     14.207      1.435
   495      -311   (Kbar0)            -84   440   464   586   586     0     0     -0.160      0.489     -5.539      5.585      0.498
   496      -213   (rho-)             -84   440   464   587   588     0     0     -0.115      0.452    -12.517     12.540      0.598
   497       223   (omega)            -84   440   464   668   670     0     0      0.764      0.990    -24.890     24.934      0.778
   498       113   (rho0)             -84   440   464   589   590     0     0      0.296      0.056    -23.727     23.748      0.960
   499       223   (omega)            -84   440   464   671   673     0     0      1.067     -0.368    -56.658     56.674      0.779
   500       111   (pi0)              -84   440   464   674   675     0     0     -0.438      0.127    -41.115     41.118      0.135
   501       211   pi+                 84   440   464     0     0     0     0      0.211      0.154    -92.066     92.066      0.140
   502       223   (omega)            -84   440   464   676   678     0     0     -0.629     -0.888   -172.778    172.783      0.784
   503      -211   pi-                 84   440   464     0     0     0     0      0.024      0.337   -112.684    112.685      0.140
   504       111   (pi0)              -84   440   464   679   680     0     0     -0.094     -0.250    -87.792     87.792      0.135
   505       211   pi+                 84   440   464     0     0     0     0     -0.253     -0.307   -142.987    142.987      0.140
   506       113   (rho0)             -84   440   464   591   592     0     0      0.158     -0.220   -253.827    253.829      1.011
   507       111   (pi0)              -84   440   464   681   682     0     0     -0.481     -0.633   -272.734    272.735      0.135
   508         1   (d)                -71   288   288   515   537   135     0     -1.476      2.051    -34.429     34.524      0.330
   509        21   (g)                -71   279   279   515   537   104   135      0.447     -0.412     24.381     24.389      0.000
   510        21   (g)                -71   282   282   515   537   143   104      0.671      0.205     12.917     12.936      0.000
   511        21   (g)                -71   284   284   515   537   168   143     -0.124      0.057      0.973      0.983      0.000
   512        21   (g)                -71   275   275   515   537   113   168      1.551      0.227     12.545     12.642      0.000
   513        21   (g)                -71   273   273   515   537   105   113      2.391     -0.529      3.501      4.273      0.000
   514      2203   (uu_1)             -71   338   338   515   537     0   105      0.728      1.342   4824.531   4824.531      0.771
   515      -213   (rho-)             -83   508   514   593   594     0     0     -0.892      1.139    -23.543     23.599      0.723
   516       221   (eta)              -83   508   514   683   685     0     0     -0.176      0.831     -5.058      5.158      0.548
   517       213   (rho+)             -83   508   514   595   596     0     0     -0.337     -0.014     -3.294      3.407      0.803
   518      -213   (rho-)             -83   508   514   597   598     0     0      0.002     -0.298     -1.005      1.230      0.643
   519       211   pi+                 83   508   514     0     0     0     0      0.098      0.606     -1.005      1.185      0.140
   520      -211   pi-                 83   508   514     0     0     0     0     -0.606     -0.207      3.169      3.236      0.140
   521      3222   (Sigma+)           -83   508   514   686   687     0     0      0.994      0.068      4.549      4.806      1.189
   522     -3222   (Sigmabar-)        -83   508   514   688   689     0     0     -0.034     -0.504      9.609      9.696      1.189
   523       221   (eta)              -83   508   514   690   692     0     0     -0.005      0.190      4.975      5.009      0.548
   524       211   pi+                 83   508   514     0     0     0     0      0.190      0.163     17.005     17.008      0.140
   525      -211   pi-                 84   508   514     0     0     0     0      1.467     -0.193      6.500      6.668      0.140
   526       213   (rho+)             -84   508   514   599   600     0     0      0.487      0.229      3.217      3.354      0.783
   527      -213   (rho-)             -84   508   514   601   602     0     0      1.094     -0.381      5.275      5.494      1.009
   528       223   (omega)            -84   508   514   693   695     0     0      0.878     -0.181      2.027      2.350      0.782
   529      3222   (Sigma+)           -84   508   514   696   697     0     0      0.255      0.572     13.661     13.727      1.189
   530     -3224   (Sigma*bar-)       -84   508   514   603   604     0     0      0.210     -0.348    127.575    127.583      1.380
   531       111   (pi0)              -84   508   514   698   699     0     0     -0.134     -0.192     52.689     52.690      0.135
   532       113   (rho0)             -84   508   514   605   606     0     0     -0.219      0.485    114.518    114.521      0.728
   533       211   pi+                 84   508   514     0     0     0     0      0.287     -0.180     67.392     67.393      0.140
   534      -211   pi-                 84   508   514     0     0     0     0      0.185     -0.176    290.141    290.141      0.140
   535       221   (eta)              -84   508   514   700   702     0     0     -0.155      0.350    917.374    917.374      0.548
   536      2214   (Delta+)           -84   508   514   607   608     0     0      0.413      0.883   2384.073   2384.073      1.248
   537       211   pi+                 84   508   514     0     0     0     0      0.185      0.100    854.576    854.576      0.140
   538       211   pi+                 91   375     0     0     0     0     0      0.329      0.455   -952.185    952.185      0.140
   539       111   (pi0)              -91   375     0   703   704     0     0      0.574     -0.111   -668.218    668.218      0.135
   540       130   K_L0                91   400   400     0     0     0     0      0.262      0.109      7.736      7.757      0.498
   541      -321   K-                  91   401     0     0     0     0     0      0.252      0.099     10.112     10.128      0.494
   542       211   pi+                 91   401     0     0     0     0     0     -0.141     -0.206      4.959      4.968      0.140
   543       130   K_L0                91   403   403     0     0     0     0      0.218     -0.032     28.192     28.197      0.498
   544      -211   pi-                 91   406     0     0     0     0     0     -0.225      0.536     23.771     23.779      0.140
   545       111   (pi0)              -91   406     0   705   706     0     0     -0.785     -0.163     46.507     46.514      0.135
   546      -211   pi-                 91   408     0     0     0     0     0      0.045      0.321      5.861      5.872      0.140
   547       111   (pi0)              -91   408     0   707   708     0     0     -0.214      0.089     21.049     21.051      0.135
   548       211   pi+                 91   409     0     0     0     0     0     -0.099      0.136     45.647     45.647      0.140
   549       111   (pi0)              -91   409     0   709   710     0     0     -0.493     -0.281     29.491     29.496      0.135
   550      3122   (Lambda0)          -91   411     0   711   712     0     0     -0.557      0.468     94.804     94.813      1.116
   551       111   (pi0)              -91   411     0   713   714     0     0      0.077      0.049      4.186      4.189      0.135
   552       311   (K0)               -91   412     0   609   609     0     0     -0.217     -0.684     28.860     28.873      0.498
   553       211   pi+                 91   412     0     0     0     0     0      0.194     -0.022      5.912      5.917      0.140
   554       211   pi+                 91   421     0     0     0     0     0     -0.150     -0.635      6.246      6.281      0.140
   555       111   (pi0)              -91   421     0   715   716     0     0      0.551     -0.783     16.392     16.420      0.135
   556      -211   pi-                 91   422     0     0     0     0     0      0.078      0.161      8.535      8.538      0.140
   557       111   (pi0)              -91   422     0   717   718     0     0     -0.224     -0.075      0.987      1.024      0.135
   558       211   pi+                 91   425     0     0     0     0     0     -0.280      0.124      0.224      0.404      0.140
   559      -211   pi-                 91   425     0     0     0     0     0      0.229     -0.011      0.841      0.883      0.140
   560       211   pi+                 91   427     0     0     0     0     0      0.344      0.113     -0.078      0.396      0.140
   561      -211   pi-                 91   427     0     0     0     0     0     -0.162     -0.156     -1.019      1.052      0.140
   562      -211   pi-                 91   435     0     0     0     0     0      0.044     -0.338     11.716     11.722      0.140
   563       111   (pi0)              -91   435     0   719   720     0     0      0.270      0.288     28.349     28.352      0.135
   564      -211   pi-                 91   438     0     0     0     0     0      0.724      0.551     -0.211      0.944      0.140
   565       111   (pi0)              -91   438     0   721   722     0     0     -0.020      0.157     -0.211      0.297      0.135
   566     -2112   nbar0               91   469     0     0     0     0     0      0.003     -0.965     -0.872      1.604      0.940
   567       211   pi+                 91   469     0     0     0     0     0      0.247     -0.121     -0.376      0.486      0.140
   568       211   pi+                 91   472     0     0     0     0     0      0.058     -0.570     -0.229      0.633      0.140
   569       111   (pi0)              -91   472     0   723   724     0     0      0.400     -0.220     -0.695      0.843      0.135
   570      -211   pi-                 91   473     0     0     0     0     0      0.512     -0.719     -1.065      1.391      0.140
   571       111   (pi0)              -91   473     0   725   726     0     0     -0.318      0.099     -0.425      0.557      0.135
   572       211   pi+                 91   475     0     0     0     0     0     -1.384     -2.695     -8.716      9.228      0.140
   573      -211   pi-                 91   475     0     0     0     0     0     -0.142     -0.061     -0.928      0.951      0.140
   574      -211   pi-                 91   476     0     0     0     0     0     -0.122     -0.119     -0.403      0.459      0.140
   575       111   (pi0)              -91   476     0   727   728     0     0     -1.065     -6.315    -21.445     22.381      0.135
   576       211   pi+                 91   481     0     0     0     0     0     -0.470     -4.718    -19.454     20.024      0.140
   577       111   (pi0)              -91   481     0   729   730     0     0     -0.628     -7.920    -29.253     30.313      0.135
   578       211   pi+                 91   484     0     0     0     0     0     -0.548     -5.246    -23.259     23.850      0.140
   579      -211   pi-                 91   484     0     0     0     0     0      0.051     -1.014     -3.740      3.878      0.140
   580      -321   K-                  91   487     0     0     0     0     0      0.305     -1.401     -8.704      8.835      0.494
   581       211   pi+                 91   487     0     0     0     0     0      0.525     -1.238     -6.009      6.160      0.140
   582       211   pi+                 91   493     0     0     0     0     0      0.075     -0.286     -1.870      1.899      0.140
   583       111   (pi0)              -91   493     0   731   732     0     0      0.282      0.573     -2.238      2.331      0.135
   584     -3122   (Lambdabar0)       -91   494     0   733   734     0     0     -0.124      1.242    -12.873     12.981      1.116
   585      -211   pi-                 91   494     0     0     0     0     0     -0.146     -0.045     -1.209      1.226      0.140
   586       310   (K_S0)             -91   495   495   735   736     0     0     -0.160      0.489     -5.539      5.585      0.498
   587      -211   pi-                 91   496     0     0     0     0     0     -0.176      0.033     -7.465      7.468      0.140
   588       111   (pi0)              -91   496     0   737   738     0     0      0.061      0.419     -5.053      5.072      0.135
   589       211   pi+                 91   498     0     0     0     0     0      0.069     -0.277     -2.977      2.994      0.140
   590      -211   pi-                 91   498     0     0     0     0     0      0.227      0.334    -20.749     20.754      0.140
   591       211   pi+                 91   506     0     0     0     0     0      0.073      0.121   -219.396    219.396      0.140
   592      -211   pi-                 91   506     0     0     0     0     0      0.084     -0.340    -34.431     34.433      0.140
   593      -211   pi-                 91   515     0     0     0     0     0     -0.515      0.504    -16.333     16.349      0.140
   594       111   (pi0)              -91   515     0   739   740     0     0     -0.377      0.636     -7.210      7.249      0.135
   595       211   pi+                 91   517     0     0     0     0     0     -0.278     -0.349     -1.341      1.420      0.140
   596       111   (pi0)              -91   517     0   741   742     0     0     -0.058      0.335     -1.953      1.987      0.135
   597      -211   pi-                 91   518     0     0     0     0     0      0.262     -0.053     -0.607      0.678      0.140
   598       111   (pi0)              -91   518     0   743   744     0     0     -0.260     -0.245     -0.398      0.552      0.135
   599       211   pi+                 91   526     0     0     0     0     0      0.345      0.261      0.734      0.864      0.140
   600       111   (pi0)              -91   526     0   745   746     0     0      0.141     -0.032      2.482      2.490      0.135
   601      -211   pi-                 91   527     0     0     0     0     0      0.293      0.255      2.496      2.530      0.140
   602       111   (pi0)              -91   527     0   747   748     0     0      0.801     -0.635      2.779      2.964      0.135
   603     -3122   (Lambdabar0)       -91   530     0   749   750     0     0      0.017     -0.299     91.477     91.484      1.116
   604      -211   pi-                 91   530     0     0     0     0     0      0.193     -0.049     36.098     36.099      0.140
   605       211   pi+                 91   532     0     0     0     0     0     -0.361      0.235     35.329     35.332      0.140
   606      -211   pi-                 91   532     0     0     0     0     0      0.142      0.250     79.188     79.189      0.140
   607      2112   n0                  91   536     0     0     0     0     0      0.374      0.431   1779.575   1779.575      0.940
   608       211   pi+                 91   536     0     0     0     0     0      0.039      0.452    604.498    604.499      0.140
   609       310   (K_S0)             -91   552   552   751   752     0     0     -0.217     -0.684     28.860     28.873      0.498
   610       211   pi+                 91   382     0     0     0     0     0      0.413      0.059      2.033      2.080      0.140
   611      -211   pi-                 91   382     0     0     0     0     0      0.308     -0.228      2.982      3.010      0.140
   612       111   (pi0)              -91   382     0   753   754     0     0      0.270     -0.361      1.658      1.724      0.135
   613       111   (pi0)              -91   383     0   755   756     0     0     -0.189      0.200      1.166      1.206      0.135
   614       111   (pi0)              -91   383     0   757   758     0     0     -0.199      0.117      1.492      1.516      0.135
   615       111   (pi0)              -91   383     0   759   760     0     0     -0.303      0.065      0.817      0.884      0.135
   616        22   gamma               91   384     0     0     0     0     0      0.183     -0.606      3.222      3.284      0.000
   617        22   gamma               91   384     0     0     0     0     0      0.127     -0.264      1.131      1.169      0.000
   618        22   gamma               91   387     0     0     0     0     0      0.072     -0.097      0.031      0.125      0.000
   619        22   gamma               91   387     0     0     0     0     0      0.108      0.032      0.014      0.113      0.000
   620        22   gamma               91   399     0     0     0     0     0      0.365      0.202      3.886      3.908      0.000
   621        22   gamma               91   399     0     0     0     0     0      0.684      0.396      5.822      5.875      0.000
   622        22   gamma               91   402     0     0     0     0     0      0.132      0.071      1.790      1.796      0.000
   623        22   gamma               91   402     0     0     0     0     0      0.157      0.011      4.020      4.023      0.000
   624       211   pi+                 91   414     0     0     0     0     0      0.014     -0.504     11.972     11.983      0.140
   625      -211   pi-                 91   414     0     0     0     0     0      0.113     -0.254      8.089      8.095      0.140
   626       111   (pi0)              -91   414     0   761   762     0     0     -0.066     -0.111      6.029      6.032      0.135
   627      2112   n0                  91   415     0     0     0     0     0      0.653     -0.178     11.269     11.329      0.940
   628       211   pi+                 91   415     0     0     0     0     0      0.192     -0.125      1.214      1.243      0.140
   629     -2112   nbar0               91   416     0     0     0     0     0      0.552     -0.202      3.516      3.686      0.940
   630      -211   pi-                 91   416     0     0     0     0     0     -0.093     -0.120      0.686      0.717      0.140
   631        22   gamma               91   419     0     0     0     0     0      0.312     -1.035     22.537     22.563      0.000
   632        22   gamma               91   419     0     0     0     0     0      0.067     -0.177      2.952      2.958      0.000
   633        22   gamma               91   423     0     0     0     0     0     -0.001     -0.128      0.702      0.713      0.000
   634        22   gamma               91   423     0     0     0     0     0      0.133     -0.265      2.725      2.741      0.000
   635        22   gamma               91   424     0     0     0     0     0      0.102      0.230      0.196      0.319      0.000
   636        22   gamma               91   424     0     0     0     0     0      0.067      0.212      0.037      0.225      0.000
   637        22   gamma               91   426     0     0     0     0     0     -0.021      0.040     -0.132      0.140      0.000
   638        22   gamma               91   426     0     0     0     0     0     -0.097      0.018     -0.016      0.101      0.000
   639      2212   p+                  91   431     0     0     0     0     0      0.018      0.351    356.887    356.888      0.938
   640       111   (pi0)              -91   431     0   763   764     0     0      0.123     -0.013    154.223    154.223      0.135
   641     -2112   nbar0               91   432     0     0     0     0     0      0.145      0.726    415.564    415.565      0.940
   642      -211   pi-                 91   432     0     0     0     0     0     -0.073     -0.057     71.821     71.822      0.140
   643       211   pi+                 91   433     0     0     0     0     0      0.016      0.032      4.856      4.858      0.140
   644      -211   pi-                 91   433     0     0     0     0     0      0.107     -0.123     32.944     32.945      0.140
   645       111   (pi0)              -91   433     0   765   766     0     0     -0.113     -0.175      6.278      6.283      0.135
   646       211   pi+                 91   439     0     0     0     0     0     -0.153      0.361     -0.961      1.047      0.140
   647      -211   pi-                 91   439     0     0     0     0     0     -0.124     -0.016     -0.162      0.248      0.140
   648       111   (pi0)              -91   439     0   767   768     0     0      0.192      0.132     -0.655      0.708      0.135
   649       211   pi+                 91   466     0     0     0     0     0      0.033     -0.045      0.160      0.219      0.140
   650      -211   pi-                 91   466     0     0     0     0     0     -0.166      0.021      0.166      0.274      0.140
   651       111   (pi0)              -91   466     0   769   770     0     0     -0.127     -0.207      0.208      0.347      0.135
   652       211   pi+                 91   471     0     0     0     0     0     -0.042     -0.025     -0.295      0.330      0.140
   653      -211   pi-                 91   471     0     0     0     0     0     -0.194     -0.103     -0.239      0.353      0.140
   654       111   (pi0)              -91   471     0   771   772     0     0      0.277     -0.250     -0.194      0.442      0.135
   655        22   gamma               91   477     0     0     0     0     0     -1.155     -3.159    -10.384     10.916      0.000
   656        22   gamma               91   477     0     0     0     0     0     -0.133     -0.394     -0.781      0.884      0.000
   657        22   gamma               91   480     0     0     0     0     0      0.007     -0.012     -0.039      0.042      0.000
   658        22   gamma               91   480     0     0     0     0     0     -0.498     -2.631     -8.442      8.857      0.000
   659       211   pi+                 91   482     0     0     0     0     0     -0.245     -2.855     -9.609     10.028      0.140
   660      -211   pi-                 91   482     0     0     0     0     0     -0.248     -5.174    -18.767     19.469      0.140
   661       111   (pi0)              -91   482     0   773   774     0     0     -0.537     -3.378    -11.609     12.103      0.135
   662        22   gamma               91   483     0     0     0     0     0     -0.206     -2.598    -10.338     10.662      0.000
   663        22   gamma               91   483     0     0     0     0     0     -0.257     -2.328     -8.870      9.174      0.000
   664      2112   n0                  91   488     0     0     0     0     0      0.141     -2.064     -9.892     10.149      0.940
   665      -211   pi-                 91   488     0     0     0     0     0     -0.056     -0.058     -0.897      0.911      0.140
   666     -2112   nbar0               91   489     0     0     0     0     0     -0.273     -1.293     -6.104      6.316      0.940
   667       211   pi+                 91   489     0     0     0     0     0     -0.093     -0.706     -2.185      2.302      0.140
   668       211   pi+                 91   497     0     0     0     0     0      0.091      0.248     -3.398      3.411      0.140
   669      -211   pi-                 91   497     0     0     0     0     0      0.178      0.547    -11.978     11.993      0.140
   670       111   (pi0)              -91   497     0   775   776     0     0      0.495      0.195     -9.514      9.530      0.135
   671       211   pi+                 91   499     0     0     0     0     0      0.169     -0.164     -6.204      6.210      0.140
   672      -211   pi-                 91   499     0     0     0     0     0      0.494      0.059    -21.379     21.385      0.140
   673       111   (pi0)              -91   499     0   777   778     0     0      0.404     -0.263    -29.074     29.079      0.135
   674        22   gamma               91   500     0     0     0     0     0     -0.244      0.086    -28.712     28.713      0.000
   675        22   gamma               91   500     0     0     0     0     0     -0.194      0.041    -12.404     12.405      0.000
   676       211   pi+                 91   502     0     0     0     0     0     -0.563     -0.715   -113.262    113.266      0.140
   677      -211   pi-                 91   502     0     0     0     0     0     -0.008     -0.067    -10.673     10.674      0.140
   678       111   (pi0)              -91   502     0   779   780     0     0     -0.058     -0.105    -48.843     48.843      0.135
   679        22   gamma               91   504     0     0     0     0     0      0.026     -0.110    -29.477     29.477      0.000
   680        22   gamma               91   504     0     0     0     0     0     -0.121     -0.140    -58.315     58.315      0.000
   681        22   gamma               91   507     0     0     0     0     0     -0.226     -0.368   -129.752    129.753      0.000
   682        22   gamma               91   507     0     0     0     0     0     -0.255     -0.265   -142.982    142.983      0.000
   683       211   pi+                 91   516     0     0     0     0     0     -0.008      0.177     -1.002      1.028      0.140
   684      -211   pi-                 91   516     0     0     0     0     0     -0.182      0.219     -1.343      1.380      0.140
   685       111   (pi0)              -91   516     0   781   782     0     0      0.014      0.435     -2.712      2.750      0.135
   686      2112   n0                  91   521     0     0     0     0     0      0.962      0.025      3.548      3.795      0.940
   687       211   pi+                 91   521     0     0     0     0     0      0.033      0.043      1.000      1.011      0.140
   688     -2112   nbar0               91   522     0     0     0     0     0      0.062     -0.257      6.622      6.694      0.940
   689      -211   pi-                 91   522     0     0     0     0     0     -0.096     -0.246      2.987      3.002      0.140
   690       211   pi+                 91   523     0     0     0     0     0     -0.088      0.134      1.300      1.318      0.140
   691      -211   pi-                 91   523     0     0     0     0     0      0.131      0.065      2.341      2.349      0.140
   692       111   (pi0)              -91   523     0   783   784     0     0     -0.047     -0.009      1.334      1.342      0.135
   693       211   pi+                 91   528     0     0     0     0     0      0.158     -0.016      0.868      0.893      0.140
   694      -211   pi-                 91   528     0     0     0     0     0      0.594     -0.273      0.868      1.095      0.140
   695       111   (pi0)              -91   528     0   785   786     0     0      0.126      0.108      0.291      0.361      0.135
   696      2212   p+                  91   529     0     0     0     0     0      0.351      0.397      9.959     10.017      0.938
   697       111   (pi0)              -91   529     0   787   788     0     0     -0.096      0.175      3.702      3.710      0.135
   698        22   gamma               91   531     0     0     0     0     0     -0.161     -0.172     44.680     44.680      0.000
   699        22   gamma               91   531     0     0     0     0     0      0.027     -0.020      8.010      8.010      0.000
   700       211   pi+                 91   535     0     0     0     0     0     -0.011      0.173    224.072    224.072      0.140
   701      -211   pi-                 91   535     0     0     0     0     0     -0.120      0.151    256.174    256.174      0.140
   702       111   (pi0)              -91   535     0   789   790     0     0     -0.024      0.026    437.127    437.127      0.135
   703        22   gamma               91   539     0     0     0     0     0      0.386     -0.079   -374.053    374.053      0.000
   704        22   gamma               91   539     0     0     0     0     0      0.188     -0.032   -294.165    294.165      0.000
   705        22   gamma               91   545     0     0     0     0     0     -0.006      0.001      0.062      0.063      0.000
   706        22   gamma               91   545     0     0     0     0     0     -0.779     -0.164     46.444     46.451      0.000
   707        22   gamma               91   547     0     0     0     0     0     -0.190      0.039     12.277     12.279      0.000
   708        22   gamma               91   547     0     0     0     0     0     -0.024      0.049      8.772      8.772      0.000
   709        22   gamma               91   549     0     0     0     0     0     -0.195     -0.040      9.321      9.323      0.000
   710        22   gamma               91   549     0     0     0     0     0     -0.298     -0.241     20.169     20.173      0.000
   711      2212   p+                  91   550     0     0     0     0     0     -0.454      0.307     81.582     81.589      0.938
   712      -211   pi-                 91   550     0     0     0     0     0     -0.103      0.161     13.222     13.224      0.140
   713        22   gamma               91   551     0     0     0     0     0      0.043      0.096      2.760      2.762      0.000
   714        22   gamma               91   551     0     0     0     0     0      0.034     -0.047      1.426      1.427      0.000
   715        22   gamma               91   555     0     0     0     0     0      0.232     -0.408      7.162      7.177      0.000
   716        22   gamma               91   555     0     0     0     0     0      0.319     -0.374      9.230      9.243      0.000
   717        22   gamma               91   557     0     0     0     0     0     -0.089      0.008      0.583      0.590      0.000
   718        22   gamma               91   557     0     0     0     0     0     -0.135     -0.083      0.404      0.434      0.000
   719        22   gamma               91   563     0     0     0     0     0      0.006     -0.011      2.080      2.080      0.000
   720        22   gamma               91   563     0     0     0     0     0      0.264      0.299     26.269     26.272      0.000
   721        22   gamma               91   565     0     0     0     0     0     -0.059      0.143     -0.201      0.254      0.000
   722        22   gamma               91   565     0     0     0     0     0      0.039      0.014     -0.011      0.043      0.000
   723        22   gamma               91   569     0     0     0     0     0      0.258     -0.211     -0.498      0.599      0.000
   724        22   gamma               91   569     0     0     0     0     0      0.142     -0.009     -0.197      0.244      0.000
   725        22   gamma               91   571     0     0     0     0     0     -0.049      0.008     -0.005      0.050      0.000
   726        22   gamma               91   571     0     0     0     0     0     -0.270      0.091     -0.419      0.507      0.000
   727        22   gamma               91   575     0     0     0     0     0     -0.738     -4.509    -15.101     15.777      0.000
   728        22   gamma               91   575     0     0     0     0     0     -0.327     -1.805     -6.345      6.604      0.000
   729        22   gamma               91   577     0     0     0     0     0     -0.374     -3.989    -14.614     15.153      0.000
   730        22   gamma               91   577     0     0     0     0     0     -0.254     -3.931    -14.639     15.160      0.000
   731        22   gamma               91   583     0     0     0     0     0     -0.011      0.006     -0.069      0.070      0.000
   732        22   gamma               91   583     0     0     0     0     0      0.293      0.567     -2.169      2.261      0.000
   733     -2212   pbar-               91   584     0     0     0     0     0     -0.088      0.909     -9.812      9.899      0.938
   734       211   pi+                 91   584     0     0     0     0     0     -0.036      0.333     -3.060      3.082      0.140
   735       111   (pi0)              -91   586     0   791   792     0     0     -0.152      0.009     -2.139      2.148      0.135
   736       111   (pi0)              -91   586     0   793   794     0     0     -0.008      0.480     -3.400      3.437      0.135
   737        22   gamma               91   588     0     0     0     0     0     -0.002      0.299     -2.944      2.959      0.000
   738        22   gamma               91   588     0     0     0     0     0      0.063      0.120     -2.109      2.113      0.000
   739        22   gamma               91   594     0     0     0     0     0     -0.061      0.069     -0.565      0.573      0.000
   740        22   gamma               91   594     0     0     0     0     0     -0.316      0.567     -6.645      6.677      0.000
   741        22   gamma               91   596     0     0     0     0     0      0.022      0.012     -0.285      0.286      0.000
   742        22   gamma               91   596     0     0     0     0     0     -0.080      0.323     -1.668      1.701      0.000
   743        22   gamma               91   598     0     0     0     0     0     -0.212     -0.242     -0.289      0.433      0.000
   744        22   gamma               91   598     0     0     0     0     0     -0.048     -0.003     -0.109      0.119      0.000
   745        22   gamma               91   600     0     0     0     0     0      0.113     -0.082      1.800      1.805      0.000
   746        22   gamma               91   600     0     0     0     0     0      0.028      0.050      0.682      0.685      0.000
   747        22   gamma               91   602     0     0     0     0     0      0.322     -0.242      1.286      1.347      0.000
   748        22   gamma               91   602     0     0     0     0     0      0.479     -0.394      1.493      1.617      0.000
   749     -2112   nbar0               91   603     0     0     0     0     0      0.091     -0.210     81.197     81.203      0.940
   750       111   (pi0)              -91   603     0   795   796     0     0     -0.074     -0.088     10.280     10.281      0.135
   751       211   pi+                 91   609     0     0     0     0     0     -0.262     -0.659     24.606     24.617      0.140
   752      -211   pi-                 91   609     0     0     0     0     0      0.046     -0.026      4.254      4.257      0.140
   753        22   gamma               91   612     0     0     0     0     0      0.275     -0.295      1.375      1.433      0.000
   754        22   gamma               91   612     0     0     0     0     0     -0.005     -0.066      0.284      0.291      0.000
   755        22   gamma               91   613     0     0     0     0     0     -0.006     -0.013      0.016      0.022      0.000
   756        22   gamma               91   613     0     0     0     0     0     -0.183      0.213      1.150      1.184      0.000
   757        22   gamma               91   614     0     0     0     0     0     -0.211      0.102      1.457      1.476      0.000
   758        22   gamma               91   614     0     0     0     0     0      0.012      0.016      0.035      0.040      0.000
   759        22   gamma               91   615     0     0     0     0     0     -0.280      0.037      0.791      0.840      0.000
   760        22   gamma               91   615     0     0     0     0     0     -0.023      0.028      0.027      0.045      0.000
   761        22   gamma               91   626     0     0     0     0     0     -0.096     -0.033      2.947      2.949      0.000
   762        22   gamma               91   626     0     0     0     0     0      0.030     -0.078      3.082      3.083      0.000
   763        22   gamma               91   640     0     0     0     0     0      0.077      0.021    135.075    135.075      0.000
   764        22   gamma               91   640     0     0     0     0     0      0.046     -0.034     19.148     19.148      0.000
   765        22   gamma               91   645     0     0     0     0     0      0.016     -0.056      2.693      2.694      0.000
   766        22   gamma               91   645     0     0     0     0     0     -0.129     -0.119      3.585      3.589      0.000
   767        22   gamma               91   648     0     0     0     0     0      0.084      0.067     -0.484      0.496      0.000
   768        22   gamma               91   648     0     0     0     0     0      0.108      0.065     -0.171      0.212      0.000
   769        22   gamma               91   651     0     0     0     0     0     -0.025     -0.075      0.151      0.170      0.000
   770        22   gamma               91   651     0     0     0     0     0     -0.103     -0.132      0.057      0.177      0.000
   771        22   gamma               91   654     0     0     0     0     0      0.026     -0.009     -0.065      0.071      0.000
   772        22   gamma               91   654     0     0     0     0     0      0.251     -0.241     -0.129      0.371      0.000
   773        22   gamma               91   661     0     0     0     0     0     -0.316     -2.292     -7.702      8.042      0.000
   774        22   gamma               91   661     0     0     0     0     0     -0.221     -1.086     -3.906      4.061      0.000
   775        22   gamma               91   670     0     0     0     0     0      0.456      0.153     -7.757      7.772      0.000
   776        22   gamma               91   670     0     0     0     0     0      0.039      0.042     -1.757      1.758      0.000
   777        22   gamma               91   673     0     0     0     0     0      0.151     -0.170    -11.594     11.596      0.000
   778        22   gamma               91   673     0     0     0     0     0      0.253     -0.093    -17.481     17.483      0.000
   779        22   gamma               91   678     0     0     0     0     0      0.030     -0.071    -14.318     14.319      0.000
   780        22   gamma               91   678     0     0     0     0     0     -0.087     -0.034    -34.524     34.524      0.000
   781        22   gamma               91   685     0     0     0     0     0      0.032      0.059     -0.225      0.235      0.000
   782        22   gamma               91   685     0     0     0     0     0     -0.017      0.376     -2.487      2.515      0.000
   783        22   gamma               91   692     0     0     0     0     0     -0.072     -0.051      0.649      0.655      0.000
   784        22   gamma               91   692     0     0     0     0     0      0.024      0.042      0.685      0.687      0.000
   785        22   gamma               91   695     0     0     0     0     0      0.154      0.087      0.255      0.310      0.000
   786        22   gamma               91   695     0     0     0     0     0     -0.029      0.022      0.036      0.051      0.000
   787        22   gamma               91   697     0     0     0     0     0      0.025      0.083      1.100      1.104      0.000
   788        22   gamma               91   697     0     0     0     0     0     -0.121      0.092      2.602      2.606      0.000
   789        22   gamma               91   702     0     0     0     0     0      0.052      0.030    147.575    147.575      0.000
   790        22   gamma               91   702     0     0     0     0     0     -0.076     -0.004    289.552    289.552      0.000
   791        22   gamma               91   735     0     0     0     0     0      0.008      0.037     -0.575      0.577      0.000
   792        22   gamma               91   735     0     0     0     0     0     -0.160     -0.028     -1.563      1.572      0.000
   793        22   gamma               91   736     0     0     0     0     0     -0.004      0.020     -0.040      0.045      0.000
   794        22   gamma               91   736     0     0     0     0     0     -0.005      0.460     -3.361      3.392      0.000
   795        22   gamma               91   750     0     0     0     0     0     -0.036     -0.060      9.399      9.399      0.000
   796        22   gamma               91   750     0     0     0     0     0     -0.038     -0.028      0.880      0.882      0.000
                                   Charge sum:  2.000           Momentum sum:      0.000      0.000     -0.000  14000.000  14000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
Event: 0
 PYTHIA Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated  
Event: 10
Event: 20
Event: 30
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
Event: 40
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
Event: 50
Event: 60
Event: 70
Event: 80
Event: 90
Event: 100
Event: 110
Event: 120
Event: 130
Event: 140
Event: 150
Event: 160
Event: 170
Event: 180
Event: 190
Event: 200
Event: 210
Event: 220
Event: 230
Event: 240
Event: 250
Event: 260
Event: 270
Event: 280
Event: 290
Event: 300
Event: 310
Event: 320
Event: 330
Event: 340
Event: 350
Event: 360
Event: 370
Event: 380
Event: 390
Event: 400
Event: 410
Event: 420
Event: 430
Event: 440
Event: 450
Event: 460
Event: 470
Event: 480
Event: 490

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | f fbar -> mu+ mu- (s-channel gamma_KK/Z_KK)   5073 |        7476        500        500 |   5.224e-12  1.671e-13 |
 |                                                    |                                   |                        |
 | sum                                                |        7476        500        500 |   5.224e-12  1.671e-13 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |     79   Warning in PhaseSpace2to2tauyz::trialKin: maximum for cross section violated                           | 
 |      6   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      3   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:08       dN/dmHat

        4.60*10^ 1  5                                                 
        4.40*10^ 1  X                                                 
        4.20*10^ 1  X                                                 
        4.00*10^ 1  X                                                 
        3.80*10^ 1  X                                                 
        3.60*10^ 1  X                                                 
        3.40*10^ 1  X                                                 
        3.20*10^ 1  X                                                 
        3.00*10^ 1  X                                                 
        2.80*10^ 1  X                    X                            
        2.60*10^ 1  X                    X                            
        2.40*10^ 1  X                    X                            
        2.20*10^ 1  X                    X                            
        2.00*10^ 1  X                    X                            
        1.80*10^ 1  X                    X                            
        1.60*10^ 1  XX                  5X                            
        1.40*10^ 1  XX                  XX                            
        1.20*10^ 1  XX                  XX                            
        1.00*10^ 1  XX5                 XX                            
        0.80*10^ 1  XXX                XXX                            
        0.60*10^ 1  XXX                XXXX                           
        0.40*10^ 1  XXXX              XXXXX5                          
        0.20*10^ 1  XXXX 5   5   X   5XXXXXX                          

          Contents                                                    
            *10^ 1  41000000000000000000120000000000000000000000000000
            *10^ 0  56940100010002000148586300000000000000000000000000
            *10^-1  00000000000000000000000000000000000000000000000000
            *10^-2  00000000000000000000000000000000000000000000000000

          Low edge                                                    
            *10^ 3  11111111222222233333334444444555555566666667777777
            *10^ 2  01245789124568912356890235679023467901346780134578
            *10^ 1  04826048260482604826048260482604826048260482604826

   Entries  =         143    Mean =  2.4563e+03    Underflow =  0.0000e+00    Low edge  =  1.0000e+03
   All chan =  1.4300e+02    Rms  =  1.3764e+03    Overflow  =  0.0000e+00    High edge =  8.0000e+03


  2013-09-20 16:08       (dN/dpT)_mu^-

        1.50*10^ 1            X                                       
        1.44*10^ 1            X                                       
        1.38*10^ 1            X                                       
        1.32*10^ 1           7X                                       
        1.26*10^ 1           XX                                       
        1.20*10^ 1           XX                                       
        1.14*10^ 1           XX                                       
        1.08*10^ 1           XX                                       
        1.02*10^ 1           XX                                       
        0.96*10^ 1           XX                                       
        0.90*10^ 1           XX                                       
        0.84*10^ 1           XX3                                      
        0.78*10^ 1           XXX                                      
        0.72*10^ 1        7  XXX                                      
        0.66*10^ 1        X  XXX                                      
        0.60*10^ 1        XXXXXX X                    X               
        0.54*10^ 1      3 XXXXXX X          3         X               
        0.48*10^ 1      X XXXXXX X          X         X               
        0.42*10^ 1      X XXXXXX X          X      777X  777          
        0.36*10^ 1      X XXXXXX X          X      XXXX  XXX          
        0.30*10^ 1    X XXXXXXXXXX          X   XX XXXX  XXX          
        0.24*10^ 1   3X3XXXXXXXXXX33  3  33 X 3 XX3XXXX  XXX          
        0.18*10^ 1   XXXXXXXXXXXXXXX  X  XX X X XXXXXXX  XXX          
        0.12*10^ 1   XXXXXXXXXXXXXXX77X77XX7X7X XXXXXXX7 XXX77        
        0.06*10^ 1   XXXXXXXXXXXXXXXXXXXXXXXXXX XXXXXXXX XXXXX        

          Contents                                                    
            *10^ 1  00000000011000000000000000000000000000000000000000
            *10^ 0  02325376635836221121122151203324446104441100000000
            *10^-1  00000000000000000000000000000000000000000000000000
            *10^-2  00000000000000000000000000000000000000000000000000

          Low edge                                                    
            *10^ 3  00000000000000000000111111111111111111112222222222
            *10^ 2  00112233445566778899001122334455667788990011223344
            *10^ 1  05050505050505050505050505050505050505050505050505

   Entries  =         143    Mean =  9.0467e+02    Underflow =  0.0000e+00    Low edge  =  1.0000e+00
   All chan =  1.4300e+02    Rms  =  5.8691e+02    Overflow  =  0.0000e+00    High edge =  2.5010e+03

|----------------------------------------|
| CPU Runtime = 1.4423e+01 sec
|----------------------------------------|

pythia8-8.1.86.orig/examples/outref/out200000644000175000017500000003705412357054720016373 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:06:28    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 8.000e+03 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | f fbar -> gamma*/Z0 gamma*/Z0                  231 |   2.815e-07 |
 | f fbar' -> Z0 W+- (no gamma*!)                 232 |   3.934e-07 |
 | f fbar -> W+ W-                                233 |   4.239e-07 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:eCM                                     |                 8000.000 |    14000.000    10.00000             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PartonLevel:all                               |                      off |           on                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | WeakDoubleBoson:all                           |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

      23  Z0                                  3   0   0   91.18760    2.50687   50.00000    0.00000  0.00000e+00   1   1   0   0   0
              0     1   0.1541199    0        1       -1 
              1     1   0.1195484    0        2       -2 
              2     1   0.1541093    0        3       -3 
              3     1   0.1193873    0        4       -4 
              4     1   0.1523969    0        5       -5 
              5     1   0.0335122    0       11      -11 
              6     1   0.0666593    0       12      -12 
              7     1   0.0335119    0       13      -13 
              8     1   0.0666593    0       14      -14 
              9     1   0.0334363    0       15      -15 
             10     1   0.0666593    0       16      -16 

      24  W+               W-                 3   3   0   80.38500    2.09454   50.00000    0.00000  0.00000e+00   1   1   0   1   0
              0     1   0.3206876    0       -1        2 
              1     1   0.0174315    0       -1        4 
              2     1   0.0174549    0       -3        2 
              3     1   0.3199453    0       -3        4 
              4     1   0.0000053    0       -5        2 
              5     1   0.0005990    0       -5        4 
              6     1   0.1079853    0      -11       12 
              7     1   0.1079850    0      -13       14 
              8     1   0.1079062    0      -15       16 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  4.000e+03, e =  4.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -4.000e+03, e =  4.000e+03, m =  9.383e-01.

 In 1: id =   -2, x =  2.691e-02, pdf =  2.754e-01 at Q2 =  7.519e+03.
 In 2: id =    2, x =  7.693e-02, pdf =  5.689e-01 at same Q2.

 Subprocess f fbar -> W+ W- with code 233 is 2 -> 2.
 It has sHat =  1.325e+05,    tHat = -1.507e+03,    uHat = -1.171e+05,
       pTHat =  3.117e+01,   m3Hat =  8.092e+01,   m4Hat =  8.546e+01,
    thetaHat =  1.938e-01,  phiHat =  1.501e-01.
     alphaEM =  7.815e-03,  alphaS =  1.356e-01    at Q2 =  7.888e+03.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3        -2   (ubar)             -21     1     0     5     6     0   101      0.000      0.000    107.632    107.632      0.000
     4         2   (u)                -21     2     0     5     6   101     0      0.000      0.000   -307.734    307.734      0.000
     5       -24   (W-)               -22     3     4     7     8     0     0     30.817      4.660     81.766    119.184     80.918
     6        24   (W+)               -22     3     4     9    10     0     0    -30.817     -4.660   -281.867    296.183     85.461
     7         3   s                   23     5     0     0     0   102     0    -22.069     20.172     18.067     34.938      0.500
     8        -4   cbar                23     5     0     0     0     0   102     52.886    -15.512     63.699     84.246      1.500
     9        -3   sbar                23     6     0     0     0     0   103     25.512      0.448   -157.437    159.492      0.500
    10         4   c                   23     6     0     0     0   103     0    -56.330     -5.109   -124.430    136.690      1.500
                                   Charge sum: -0.000           Momentum sum:     -0.000     -0.000   -200.102    415.366    363.990

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | f fbar -> gamma*/Z0 gamma*/Z0                  231 |         565         11         11 |   5.030e-09  8.097e-10 |
 | f fbar' -> Z0 W+- (no gamma*!)                 232 |         807         22         22 |   1.295e-08  1.168e-09 |
 | f fbar -> W+ W-                                233 |         816         67         67 |   3.613e-08  2.036e-09 |
 |                                                    |                                   |                        |
 | sum                                                |        2188        100        100 |   5.410e-08  2.483e-09 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      0   no errors or warnings to report                                                                        | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 
pythia8-8.1.86.orig/examples/outref/out150000644000175000017500000145112612357054717016406 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:04:49    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> b bbar                                  123 |   4.851e-04 |
 | q qbar -> b bbar                               124 |   1.273e-05 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  270.61 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | HadronLevel:all                               |                      off |           on                         | 
 | HardQCD:gg2bbbar                              |                       on |          off                         | 
 | HardQCD:qqbar2bbbar                           |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                 50.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  1.786e-03, pdf =  2.497e+01 at Q2 =  2.975e+03.
 In 2: id =   21, x =  3.709e-02, pdf =  2.784e+00 at same Q2.

 Subprocess g g -> b bbar with code 123 is 2 -> 2.
 It has sHat =  1.299e+04,    tHat = -8.347e+03,    uHat = -4.593e+03,
       pTHat =  5.433e+01,   m3Hat =  4.800e+00,   m4Hat =  4.800e+00,
    thetaHat =  1.865e+00,  phiHat =  4.259e+00.
     alphaEM =  7.772e-03,  alphaS =  1.475e-01    at Q2 =  2.975e+03.

 Impact parameter b =  5.577e-01 gives enhancement factor =  2.133e+00.
 Max pT scale for MPI =  5.454e+01, ISR =  5.454e+01, FSR =  5.454e+01.
 Number of MPI =    11, ISR =    25, FSRproc =   148, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     1     0     5     6   101   102      0.000      0.000     12.504     12.504      0.000
     4        21   (g)                -21     2     0     5     6   103   101      0.000      0.000   -259.631    259.631      0.000
     5         5   b                   23     3     4     0     0   103     0    -23.822    -48.832   -162.906    171.794      4.800
     6        -5   bbar                23     3     4     0     0     0   102     23.822     48.832    -84.221    100.341      4.800
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000   -247.126    272.135    113.956

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0   689     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0   690     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     7     0     5     6   101   102      0.000      0.000     12.504     12.504      0.000
     4        21   (g)                -21     8     8     5     6   103   101      0.000      0.000   -259.631    259.631      0.000
     5         5   (b)                -23     3     4     9     9   103     0    -23.822    -48.832   -162.906    171.794      4.800
     6        -5   (bbar)             -23     3     4    10    10     0   102     23.822     48.832    -84.221    100.341      4.800
     7        21   (g)                -41    19    19    11     3   101   104     -0.000      0.000     39.271     39.271      0.000
     8        21   (g)                -42    20     0     4     4   103   101      0.000     -0.000   -259.631    259.631      0.000
     9         5   (b)                -44     5     5    21    21   103     0    -21.502    -58.844   -197.178    206.948      4.800
    10        -5   (bbar)             -44     6     6    14    14     0   102     28.030     30.674    -40.521     58.237      4.800
    11        21   (g)                -43     7     0    12    13   102   104     -6.528     28.170     17.340     33.717      0.000
    12        21   (g)                -51    11     0    23    23   105   104     -4.289     35.160     13.248     37.817      0.000
    13        21   (g)                -51    11     0    24    24   102   105      1.490     -2.967     -1.312      3.570      0.000
    14        -5   (bbar)             -52    10    10    22    22     0   102     24.301     26.652    -35.117     50.568      4.800
    15        21   (g)                -31    30    30    17    18   106   107      0.000      0.000      2.089      2.089      0.000
    16        21   (g)                -31    31     0    17    18   108   109      0.000      0.000    -40.605     40.605      0.000
    17        21   (g)                -33    15    16    32    32   106   109     -5.271      2.348     -2.620      6.338      0.000
    18        21   (g)                -33    15    16    33    33   108   107      5.271     -2.348    -35.895     36.356      0.000
    19        21   (g)                -42    39     0     7     7   101   104      0.000      0.000     39.271     39.271      0.000
    20        21   (g)                -41    40    40    25     8   110   101     -0.000     -0.000  -2118.222   2118.222      0.000
    21         5   (b)                -44     9     9    41    41   103     0    -25.900    -59.396   -197.028    207.465      4.800
    22        -5   (bbar)             -44    14    14    42    42     0   102     23.369     26.535    -35.458     50.304      4.800
    23        21   (g)                -44    12    12    43    43   105   104     -4.556     35.126     13.213     37.805      0.000
    24        21   (g)                -44    13    13    44    44   102   105      1.437     -2.974     -1.327      3.559      0.000
    25        21   (g)                -43    20     0    45    45   110   103      5.651      0.710  -1858.352   1858.360      0.000
    26        21   (g)                -31   169   169    28    29   111   112      0.000      0.000      2.954      2.954      0.000
    27        21   (g)                -31   170     0    28    29   112   113      0.000      0.000   -108.527    108.527      0.000
    28        21   (g)                -33    26    27    50    51   111   114     -3.510     -3.184      0.966      4.836      0.000
    29        21   (g)                -33    26    27    52    52   114   113      3.510      3.184   -106.539    106.644      0.000
    30        21   (g)                -42    57     0    15    15   106   107     -0.000      0.000      2.089      2.089      0.000
    31        21   (g)                -41    58    58    34    16   108   115      0.000     -0.000   -436.847    436.847      0.000
    32        21   (g)                -44    17    17    59    59   106   109     -5.741      2.548     -2.735      6.851      0.000
    33        21   (g)                -44    18    18    60    60   108   107      1.483     -0.737    -38.639     38.674      0.000
    34        21   (g)                -43    31     0    61    61   109   115      4.258     -1.811   -393.385    393.412      0.000
    35        21   (g)                -31   140   140    37    38   116   117      0.000      0.000      8.016      8.016      0.000
    36        21   (g)                -31   117   117    37    38   118   119      0.000      0.000   -158.050    158.050      0.000
    37        21   (g)                -33    35    36   115   116   116   119      4.298      1.465      7.338      8.629      0.000
    38        21   (g)                -33    35    36   143   143   118   117     -4.298     -1.465   -157.371    157.437      0.000
    39        21   (g)                -41   111   111    46    19   120   104      0.000      0.000    126.873    126.873      0.000
    40        21   (g)                -42   220   220    20    20   110   101     -0.000     -0.000  -2118.222   2118.222      0.000
    41         5   (b)                -44    21    21    87    88   103     0    -26.048    -59.959   -200.592    211.030      4.800
    42        -5   (bbar)             -44    22    22    47    48     0   102     23.158     25.735    -33.717     48.564      4.800
    43        21   (g)                -44    23    23   109   110   105   104     -5.279     32.379     14.964     36.058      0.000
    44        21   (g)                -44    24    24    49    49   102   105      1.405     -3.094     -1.470      3.703      0.000
    45        21   (g)                -44    25    25    89    89   110   103      5.651      0.709  -1858.079   1858.088      0.000
    46        21   (g)                -43    39     0   218   219   120   101      1.112      4.230     87.544     87.653      0.000
    47        -5   (bbar)             -51    42     0   494   494     0   121     19.248     23.644    -26.875     40.925      4.800
    48        21   (g)                -51    42     0   270   270   121   102      4.207      1.437     -7.152      8.421      0.000
    49        21   (g)                -52    44    44   177   177   102   105      1.108     -2.441     -1.159      2.920      0.000
    50        21   (g)                -51    28     0   171   171   111   122     -5.861     -3.158     -2.235      7.023      0.000
    51        21   (g)                -51    28     0   173   173   122   114      2.545      0.149     -2.678      3.697      0.000
    52        21   (g)                -52    29    29   172   172   114   113      3.316      3.008   -100.660    100.760      0.000
    53        21   (g)                -31   135     0    55    56   124   123      0.000      0.000     11.539     11.539      0.000
    54        21   (g)                -31   136   136    55    56   126   125      0.000      0.000     -1.040      1.040      0.000
    55        21   (g)                -33    53    54   137   137   126   123     -2.560      2.042      7.299      8.000      0.000
    56        21   (g)                -33    53    54   138   138   124   125      2.560     -2.042      3.200      4.579      0.000
    57        21   (g)                -41    70     0    62    30   106   127      0.000     -0.000     10.503     10.503      0.000
    58        21   (g)                -42    71    71    31    31   108   115      0.000      0.000   -436.847    436.847      0.000
    59        21   (g)                -44    32    32    63    64   106   109     -2.561      2.039      0.768      3.363      0.000
    60        21   (g)                -44    33    33    73    73   108   107      1.511     -0.741    -39.741     39.777      0.000
    61        21   (g)                -44    34    34    65    65   109   115      4.279     -1.814   -395.460    395.487      0.000
    62        21   (g)                -43    57     0    75    75   107   127     -3.228      0.516      8.088      8.724      0.000
    63        21   (g)                -51    59     0    72    72   106   128     -0.863      0.694      1.866      2.170      0.000
    64        21   (g)                -51    59     0    76    76   128   109     -1.494      1.259    -19.895     19.991      0.000
    65        21   (g)                -52    61    61    74    74   109   115      4.075     -1.728   -376.662    376.688      0.000
    66        21   (g)                -31   100   100    68    69   130   129      0.000      0.000    147.656    147.656      0.000
    67        21   (g)                -31   101     0    68    69   129   131      0.000      0.000     -0.074      0.074      0.000
    68        21   (g)                -33    66    67   102   102   132   131      0.140      2.977     41.847     41.953      0.000
    69        21   (g)                -33    66    67   103   103   130   132     -0.140     -2.977    105.735    105.777      0.000
    70        21   (g)                -41   121     0    77    57   133   127     -0.000      0.000     44.612     44.612      0.000
    71        21   (g)                -42   122   122    58    58   108   115      0.000     -0.000   -436.847    436.847      0.000
    72        21   (g)                -44    63    63   123   123   106   128     -1.429      0.757      1.696      2.343      0.000
    73        21   (g)                -44    60    60   112   113   108   107      1.506     -0.741    -39.493     39.529      0.000
    74        21   (g)                -44    65    65   125   125   109   115      4.072     -1.728   -375.829    375.855      0.000
    75        21   (g)                -44    62    62   114   114   107   127     -5.586      0.777      7.466      9.357      0.000
    76        21   (g)                -44    64    64   127   127   128   109     -1.508      1.260    -20.113     20.208      0.000
    77        21   (g)                -43    70     0   128   128   133   106      2.946     -0.325     34.038     34.167      0.000
    78        21   (g)                -31    82     0    80    81   135   134      0.000      0.000    620.787    620.787      0.000
    79        21   (g)                -31    83    83    80    81   137   136      0.000      0.000     -0.212      0.212      0.000
    80        21   (g)                -33    78    79    84    84   137   134     -2.748     -0.995     10.037     10.453      0.000
    81        21   (g)                -33    78    79    85    85   135   136      2.748      0.995    610.539    610.546      0.000
    82         2   (u)                -41    90    90    86    78   135     0     -0.000     -0.000   1009.161   1009.161      0.000
    83        21   (g)                -42    91     0    79    79   137   136      0.000      0.000     -0.212      0.212      0.000
    84        21   (g)                -44    80    80    92    92   137   134     -2.769     -1.033     10.414     10.826      0.000
    85        21   (g)                -44    81    81    93    93   135   136      1.497     -1.267    632.886    632.889      0.000
    86         2   (u)                -43    82     0    94    94   134     0      1.272      2.300    365.648    365.658      0.330
    87         5   (b)                -51    41     0   183   183   138     0    -21.777    -55.057   -178.043    187.691      4.800
    88        21   (g)                -51    41     0   132   133   103   138     -4.260     -4.900    -26.278     27.068      0.000
    89        21   (g)                -52    45    45   134   134   110   103      5.640      0.708  -1854.350   1854.358      0.000
    90         2   (u)                -42   845   845    82    82   135     0      0.000     -0.000   1009.161   1009.161      0.000
    91        -2   (ubar)             -41   846   846    95    83     0   136     -0.000      0.000     -0.672      0.672      0.000
    92        21   (g)                -44    84    84   156   156   137   134     -1.485     -3.178     14.590     15.006      0.000
    93        21   (g)                -44    85    85   848   848   135   136      1.506     -1.283    636.929    636.932      0.000
    94         2   (u)                -44    86    86   154   155   134     0      1.302      2.250    353.739    353.749      0.330
    95        -2   (ubar)             -43    91     0   316   316     0   137     -1.323      2.211      3.231      4.146      0.330
    96        21   (g)                -31   157   157    98    99   140   141      0.000      0.000    288.194    288.194      0.000
    97         4   (c)                -31   158     0    98    99   139     0      0.000      0.000     -0.124      0.124      0.000
    98        21   (g)                -33    96    97   159   159   139   141     -1.668     -1.571    272.403    272.412      0.000
    99         4   (c)                -33    96    97   160   160   140     0      1.668      1.571     15.667     15.905      1.500
   100        21   (g)                -42   464   464    66    66   130   129      0.000     -0.000    147.656    147.656      0.000
   101        21   (g)                -41   455   455   104    67   142   131     -0.000      0.000     -3.009      3.009      0.000
   102        21   (g)                -44    68    68   453   454   132   131      0.053      4.498     86.240     86.357      0.000
   103        21   (g)                -44    69    69   495   496   130   132     -0.175     -2.374     60.947     60.994      0.000
   104        21   (g)                -43   101     0   462   463   142   129      0.122     -2.125     -2.540      3.314      0.000
   105         4   (c)                -31   149     0   107   108   143     0      0.000      0.000     33.589     33.589      0.000
   106        21   (g)                -31   150   150   107   108   144   145      0.000      0.000     -0.225      0.225      0.000
   107         4   (c)                -33   105   106   151   151   144     0      0.615     -1.851     27.976     28.084      1.500
   108        21   (g)                -33   105   106   152   152   143   145     -0.615      1.851      5.387      5.730      0.000
   109         2   (u)                -51    43     0   175   176   105     0     -5.878     24.636     12.660     28.317      0.330
   110        -2   (ubar)             -51    43     0   699   699     0   104      0.599      7.742      2.839      8.275      0.330
   111        21   (g)                -53   521   521    39    39   120   104      0.000     -0.000    127.407    127.407      0.000
   112        21   (g)                -51    73     0   124   124   108   146     -0.954     -1.722    -13.156     13.302      0.000
   113        21   (g)                -51    73     0   118   119   146   107      2.381      0.992    -26.232     26.359      0.000
   114        21   (g)                -52    75    75   120   120   107   127     -5.507      0.766      7.361      9.225      0.000
   115        21   (g)                -51    37     0   142   142   116   147      3.816      3.234      5.792      7.652      0.000
   116        21   (g)                -51    37     0   144   144   147   119      0.482     -1.768      0.596      1.927      0.000
   117        21   (g)                -53   141     0    36    36   118   119      0.000      0.000   -159.000    159.000      0.000
   118        21   (g)                -51   113     0   129   129   146   148      0.630      1.592    -24.580     24.639      0.000
   119        21   (g)                -51   113     0   130   130   148   107      1.520     -0.568     -1.344      2.107      0.000
   120        21   (g)                -52   114   114   126   126   107   127     -5.276      0.734      7.052      8.838      0.000
   121        21   (g)                -41   229   229   131    70   149   127     -0.000      0.000    538.663    538.663      0.000
   122        21   (g)                -42   232   232    71    71   108   115      0.000     -0.000   -436.847    436.847      0.000
   123        21   (g)                -44    72    72   198   198   106   128     -1.502      0.804      1.660      2.379      0.000
   124        21   (g)                -44   112   112   230   231   108   146     -0.957     -1.720    -13.152     13.299      0.000
   125        21   (g)                -44    74    74   417   418   109   115      4.071     -1.728   -375.716    375.742      0.000
   126        21   (g)                -44   120   120   227   228   107   127     -5.562      0.921      6.945      8.945      0.000
   127        21   (g)                -44    76    76   196   197   128   109     -1.509      1.261    -20.153     20.249      0.000
   128        21   (g)                -44    77    77   201   201   133   106      1.719      0.477     34.081     34.127      0.000
   129        21   (g)                -44   118   118   184   185   146   148      0.629      1.593    -24.586     24.645      0.000
   130        21   (g)                -44   119   119   186   186   148   107      1.506     -0.559     -1.310      2.073      0.000
   131        21   (g)                -43   121     0   199   200   149   133      1.605     -1.050    494.047    494.051      0.000
   132        21   (g)                -51    88     0   181   182   150   138     -4.090     -6.220    -35.825     36.590      0.000
   133        21   (g)                -51    88     0   187   188   103   150     -0.033      1.337    -35.543     35.568      0.000
   134        21   (g)                -52    89    89   189   189   110   103      5.503      0.690  -1809.260   1809.268      0.000
   135        -1   (dbar)             -41   820   820   139    53     0   123     -0.000     -0.000    736.307    736.307      0.000
   136        21   (g)                -42   360   360    54    54   126   125     -0.000     -0.000     -1.040      1.040      0.000
   137        21   (g)                -44    55    55   358   359   126   123     -1.800      3.036      7.848      8.605      0.000
   138        21   (g)                -44    56    56   146   147   124   125      2.946     -1.537      3.523      4.843      0.000
   139        -1   (dbar)             -43   135     0   148   148     0   124     -1.146     -1.498    723.896    723.899      0.330
   140        21   (g)                -42   168   168    35    35   116   117      0.000      0.000      8.016      8.016      0.000
   141        21   (g)                -41   235   235   145   117   118   151     -0.000     -0.000   -163.966    163.966      0.000
   142        21   (g)                -44   115   115   221   222   116   147      3.821      3.236      5.636      7.539      0.000
   143        21   (g)                -44    38    38   166   167   118   117     -3.462     -0.975   -160.954    160.995      0.000
   144        21   (g)                -44   116   116   223   223   147   119      0.486     -1.766      0.551      1.913      0.000
   145        21   (g)                -43   141     0   259   259   119   151     -0.844     -0.496     -1.183      1.535      0.000
   146        21   (g)                -51   138     0   208   208   152   125      1.370      1.244     10.512     10.674      0.000
   147        21   (g)                -51   138     0   193   194   124   152      1.559     -2.804      3.862      5.021      0.000
   148        -1   (dbar)             -52   139   139   195   195     0   124     -1.129     -1.476    713.045    713.047      0.330
   149        21   (g)                -41   236   236   153   105   143   153     -0.000     -0.000    156.441    156.441      0.000
   150        21   (g)                -42   237     0   106   106   144   145      0.000     -0.000     -0.225      0.225      0.000
   151         4   (c)                -44   107   107   238   238   144     0      1.149     -2.468     29.715     29.877      1.500
   152        21   (g)                -44   108   108   239   239   143   145     -0.509      1.729      5.771      6.046      0.000
   153        -4   (cbar)             -43   149     0   240   240     0   153     -0.640      0.739    120.730    120.743      1.500
   154         2   (u)                -51    94     0   849   849   155     0      2.314      2.012    209.790    209.813      0.330
   155        21   (g)                -51    94     0   224   225   134   155     -1.073      0.108    144.545    144.549      0.000
   156        21   (g)                -52    92    92   226   226   137   134     -1.424     -3.049     13.994     14.393      0.000
   157        21   (g)                -42   209   209    96    96   140   141     -0.000     -0.000    288.194    288.194      0.000
   158        21   (g)                -41   210     0   161    97   139   156      0.000      0.000     -1.347      1.347      0.000
   159        21   (g)                -44    98    98   211   211   139   141     -1.664     -1.540    264.868    264.878      0.000
   160         4   (c)                -44    99    99   212   212   140     0      1.758      2.351     22.605     22.844      1.500
   161        -4   (cbar)             -43   158     0   213   213     0   156     -0.094     -0.812     -0.626      1.819      1.500
   162        21   (g)                -31   338     0   164   165   158   159      0.000      0.000      5.178      5.178      0.000
   163         2   (u)                -31   339   339   164   165   157     0      0.000      0.000     -2.851      2.851      0.000
   164        21   (g)                -33   162   163   340   340   157   159     -1.312      1.084      4.752      5.048      0.000
   165         2   (u)                -33   162   163   341   341   158     0      1.312     -1.084     -2.425      2.981      0.330
   166        21   (g)                -51   143     0   233   234   118   160     -2.834      0.862    -91.402     91.450      0.000
   167        21   (g)                -51   143     0   251   252   160   117     -0.628     -1.837    -69.535     69.563      0.000
   168        21   (g)                -53   253   253   140   140   116   117     -0.000      0.000      8.034      8.034      0.000
   169        21   (g)                -42   271     0    26    26   111   112      0.000     -0.000      2.954      2.954      0.000
   170        21   (g)                -41   272   272   174    27   161   113     -0.000      0.000   -178.854    178.854      0.000
   171        21   (g)                -44    50    50   273   273   111   122     -5.929     -3.153     -2.229      7.076      0.000
   172        21   (g)                -44    52    52   192   192   114   113      1.836      3.113   -101.192    101.257      0.000
   173        21   (g)                -44    51    51   190   191   122   114      2.498      0.153     -2.715      3.693      0.000
   174        21   (g)                -43   170     0   276   276   161   112      1.595     -0.113    -69.764     69.782      0.000
   175         2   (u)                -51   109     0   297   297   162     0     -4.088     22.780     11.589     25.885      0.330
   176        21   (g)                -51   109     0   178   179   105   162     -1.720      1.702      0.997      2.617      0.000
   177        21   (g)                -52    49    49   180   180   102   105      1.038     -2.286     -1.086      2.735      0.000
   178        21   (g)                -51   176     0   295   296   163   162     -1.202     -1.022     -0.299      1.606      0.000
   179        21   (g)                -51   176     0   282   282   105   163     -0.121      1.851      0.882      2.054      0.000
   180        21   (g)                -52   177   177   268   269   102   105      0.642     -1.414     -0.672      1.692      0.000
   181        21   (g)                -51   132     0   528   529   150   164     -4.091     -5.059    -21.855     22.803      0.000
   182        21   (g)                -51   132     0   317   318   164   138     -1.746     -5.727    -28.166     28.795      0.000
   183         5   (b)                -52    87    87   319   319   138     0    -20.030    -50.491   -163.847    172.683      4.800
   184        21   (g)                -51   129     0   289   290   146   165     -0.996      0.918    -13.301     13.370      0.000
   185        21   (g)                -51   129     0   247   247   165   148      2.007      0.533    -11.617     11.801      0.000
   186        21   (g)                -52   130   130   245   246   148   107      1.124     -0.417     -0.978      1.547      0.000
   187        21   (g)                -51   133     0   530   530   166   150      0.846     -0.397    -25.949     25.966      0.000
   188        21   (g)                -51   133     0   326   327   103   166     -0.349      1.801   -183.599    183.609      0.000
   189        21   (g)                -52   134   134   328   328   110   103      4.974      0.624  -1635.254   1635.261      0.000
   190        21   (g)                -51   173     0   275   275   122   167      2.390     -0.898     -5.247      5.835      0.000
   191        21   (g)                -51   173     0   265   266   167   114      0.183      1.179     -1.619      2.011      0.000
   192        21   (g)                -52   172   172   267   267   114   113      1.761      2.985    -97.041     97.103      0.000
   193        21   (g)                -51   147     0   206   207   168   152      0.567     -2.565      6.386      6.905      0.000
   194        21   (g)                -51   147     0   369   369   124   168      0.987     -0.245      0.490      1.129      0.000
   195        -1   (dbar)             -52   148   148   582   582     0   124     -1.124     -1.470    710.031    710.033      0.330
   196        21   (g)                -51   127     0   419   419   169   109     -1.123      1.765     -8.483      8.737      0.000
   197        21   (g)                -51   127     0   217   217   128   169     -0.452     -0.468    -11.598     11.617      0.000
   198        21   (g)                -52   123   123   215   216   106   128     -1.436      0.769      1.587      2.275      0.000
   199        21   (g)                -51   131     0   248   249   149   170      1.841      0.131    429.806    429.810      0.000
   200        21   (g)                -51   131     0   250   250   170   133      0.086     -1.092     70.615     70.623      0.000
   201        21   (g)                -52   128   128   300   300   133   106      1.398      0.388     27.707     27.745      0.000
   202        -2   (ubar)             -31   899   899   204   205     0   172      0.000      0.000      0.953      0.953      0.000
   203        21   (g)                -31   900   900   204   205   172   173      0.000      0.000    -17.256     17.256      0.000
   204        -2   (ubar)             -33   202   203   292   293     0   174      1.234      0.172      0.483      1.376      0.330
   205        21   (g)                -33   202   203   294   294   174   173     -1.234     -0.172    -16.786     16.832      0.000
   206        21   (g)                -51   193     0   367   368   168   175      1.683     -1.977      9.130      9.492      0.000
   207        21   (g)                -51   193     0   425   425   175   152     -0.640     -0.156      0.910      1.124      0.000
   208        21   (g)                -52   146   146   594   594   152   125      0.894      0.812      6.858      6.964      0.000
   209        21   (g)                -42   301     0   157   157   140   141      0.000     -0.000    288.194    288.194      0.000
   210        21   (g)                -41   302   302   214   158   176   156      0.000      0.000   -187.966    187.966      0.000
   211        21   (g)                -44   159   159   303   303   139   141     -1.659     -1.540    263.952    263.961      0.000
   212         4   (c)                -44   160   160   304   304   140     0      1.867      2.335     23.247     23.486      1.500
   213        -4   (cbar)             -44   161   161   305   305     0   156      1.021     -0.979     -0.355      2.092      1.500
   214        21   (g)                -43   210     0   306   306   176   139     -1.228      0.185   -186.615    186.620      0.000
   215        21   (g)                -51   198     0   298   299   106   177     -1.887      0.745     -0.138      2.033      0.000
   216        21   (g)                -51   198     0   244   244   177   128      0.420     -0.008      0.939      1.029      0.000
   217        21   (g)                -52   197   197   242   243   128   169     -0.422     -0.437    -10.812     10.829      0.000
   218        21   (g)                -51    46     0   361   362   120   178      1.536      3.486     54.007     54.142      0.000
   219        21   (g)                -51    46     0   363   363   178   101     -0.424      0.744     33.518     33.529      0.000
   220        21   (g)                -53   485   485    40    40   110   101      0.000      0.000  -2118.240   2118.240      0.000
   221        21   (g)                -51   142     0   256   256   116   179      3.289      3.220      4.078      6.150      0.000
   222        21   (g)                -51   142     0   261   261   179   147      0.652     -0.423      1.695      1.865      0.000
   223        21   (g)                -52   144   144   258   258   147   119      0.365     -1.327      0.414      1.437      0.000
   224        21   (g)                -51   155     0   477   478   180   155     -2.022     -0.098    127.237    127.253      0.000
   225        21   (g)                -51   155     0   285   285   134   180      0.837     -0.032     18.401     18.420      0.000
   226        21   (g)                -52   156   156   283   284   137   134     -1.313     -2.810     12.901     13.269      0.000
   227        21   (g)                -51   126     0   355   356   107   181     -4.536     -0.403      5.377      7.046      0.000
   228        21   (g)                -51   126     0   357   357   181   127     -1.026      1.323      4.070      4.401      0.000
   229        21   (g)                -53   431   431   121   121   149   127      0.000     -0.000    541.165    541.165      0.000
   230        21   (g)                -51   124     0   325   325   183   146     -1.587     -1.509    -17.019     17.159      0.000
   231        21   (g)                -51   124     0   323   324   108   183      0.630     -0.211    -35.547     35.553      0.000
   232        21   (g)                -53   730   730   122   122   108   115      0.000      0.000   -476.261    476.261      0.000
   233        21   (g)                -51   166     0   257   257   184   160     -2.180      0.040    -56.824     56.866      0.000
   234        21   (g)                -51   166     0   262   262   118   184     -0.654      0.822    -89.219     89.225      0.000
   235        21   (g)                -53   255     0   141   141   118   151     -0.000      0.000   -218.607    218.607      0.000
   236        21   (g)                -42   667     0   149   149   143   153     -0.000     -0.000    156.441    156.441      0.000
   237         1   (d)                -41   668   668   241   150   144     0     -0.000     -0.000    -25.390     25.390      0.000
   238         4   (c)                -44   151   151   669   669   144     0      1.029     -2.825     34.452     34.615      1.500
   239        21   (g)                -44   152   152   438   439   143   145     -0.713      1.125      3.063      3.340      0.000
   240        -4   (cbar)             -44   153   153   671   671     0   153     -0.650      0.710    118.687    118.700      1.500
   241         1   (d)                -43   237     0   440   440   145     0      0.335      0.990    -25.151     25.175      0.330
   242        21   (g)                -51   217     0   372   372   185   169     -0.582      0.167    -10.167     10.185      0.000
   243        21   (g)                -51   217     0   370   371   128   185      0.230     -0.605     -0.492      0.813      0.000
   244        21   (g)                -52   216   216   375   375   177   128      0.351     -0.006      0.785      0.860      0.000
   245        21   (g)                -51   186     0   456   457   186   107     -0.023     -0.253      0.063      0.262      0.000
   246        21   (g)                -51   186     0   458   458   148   186      2.048      0.076     -6.259      6.586      0.000
   247        21   (g)                -52   185   185   291   291   165   148      1.105      0.294     -6.399      6.500      0.000
   248        21   (g)                -51   199     0   603   603   149   187     -0.405     -0.003    117.288    117.289      0.000
   249        21   (g)                -51   199     0   366   366   187   170      2.292     -0.447    350.126    350.134      0.000
   250        21   (g)                -52   200   200   364   365   170   133      0.040     -0.510     33.007     33.011      0.000
   251        21   (g)                -51   167     0   260   260   160   188      0.342     -1.798    -45.461     45.497      0.000
   252        21   (g)                -51   167     0   263   263   188   117     -0.970     -0.039    -24.060     24.080      0.000
   253        21   (g)                -53   254   254   168   168   116   117     -0.000      0.000      8.048      8.048      0.000
   254        21   (g)                -42   378   378   253   253   116   117     -0.000     -0.000      8.048      8.048      0.000
   255        21   (g)                -41   389   389   264   235   189   151      0.000      0.000   -256.176    256.176      0.000
   256        21   (g)                -44   221   221   376   377   116   179      3.285      3.218      4.063      6.137      0.000
   257        21   (g)                -44   233   233   286   287   184   160     -2.386     -0.085    -56.867     56.917      0.000
   258        21   (g)                -44   223   223   392   392   147   119      0.363     -1.328      0.414      1.438      0.000
   259        21   (g)                -44   145   145   393   393   119   151     -0.849     -0.499     -1.182      1.538      0.000
   260        21   (g)                -44   251   251   288   288   160   188      0.177     -1.898    -45.497     45.537      0.000
   261        21   (g)                -44   222   222   395   395   179   147      0.652     -0.423      1.693      1.863      0.000
   262        21   (g)                -44   234   234   311   312   118   184     -0.977      0.626    -89.293     89.301      0.000
   263        21   (g)                -44   252   252   308   309   188   117     -1.057     -0.092    -24.078     24.102      0.000
   264        21   (g)                -43   255     0   398   398   189   118      0.792      0.480    -37.380     37.392      0.000
   265         3   (s)                -51   191     0   277   277   167     0     -0.434      0.170     -1.017      1.225      0.500
   266        -3   (sbar)             -51   191     0   278   278     0   114      0.706      1.160     -5.508      5.694      0.500
   267        21   (g)                -52   192   192   274   274   114   113      1.672      2.834    -92.136     92.195      0.000
   268        21   (g)                -51   180     0   280   281   190   105      1.685     -0.945     -1.963      2.754      0.000
   269        21   (g)                -51   180     0   452   452   102   190     -0.317     -0.221      0.057      0.391      0.000
   270        21   (g)                -52    48    48   492   493   121   102      3.481      1.189     -5.918      6.968      0.000
   271        21   (g)                -41   633   633   279   169   191   112      0.000      0.000      3.664      3.664      0.000
   272        21   (g)                -42   776   776   170   170   161   113     -0.000      0.000   -178.854    178.854      0.000
   273        21   (g)                -44   171   171   345   345   111   122     -5.275     -3.349     -1.593      6.448      0.000
   274        21   (g)                -44   267   267   778   778   114   113      1.680      2.832    -92.091     92.150      0.000
   275        21   (g)                -44   190   190   343   344   122   167      2.470     -0.922     -5.601      6.191      0.000
   276        21   (g)                -44   174   174   631   632   161   112      1.597     -0.114    -69.865     69.883      0.000
   277         3   (s)                -44   265   265   781   781   167     0     -0.406      0.162     -0.952      1.160      0.500
   278        -3   (sbar)             -44   266   266   782   782     0   114      0.731      1.152     -5.548      5.735      0.500
   279        21   (g)                -43   271     0   349   350   191   111     -0.798      0.239      0.460      0.951      0.000
   280        21   (g)                -51   268     0   450   451   190   192      0.582      0.521     -1.027      1.291      0.000
   281        21   (g)                -51   268     0   387   387   192   105      1.084     -1.175     -0.797      1.786      0.000
   282        21   (g)                -52   179   179   385   386   105   163     -0.102      1.561      0.743      1.732      0.000
   283        21   (g)                -51   226     0   314   315   137   193     -0.210     -2.325     11.743     11.973      0.000
   284        21   (g)                -51   226     0   446   446   193   134     -0.969     -0.490      4.113      4.254      0.000
   285        21   (g)                -52   225   225   444   445   134   180      0.703     -0.027     15.446     15.462      0.000
   286        21   (g)                -51   257     0   313   313   184   195     -1.521     -0.751    -27.629     27.681      0.000
   287        21   (g)                -51   257     0   399   399   195   160     -0.819      0.171    -41.116     41.125      0.000
   288        21   (g)                -52   260   260   310   310   160   188      0.131     -1.402    -33.618     33.648      0.000
   289        21   (g)                -51   184     0   449   449   146   196     -0.023      0.994    -15.084     15.117      0.000
   290        21   (g)                -51   184     0   447   448   196   165     -0.455      0.062     -1.217      1.300      0.000
   291        21   (g)                -52   247   247   740   740   165   148      0.587      0.156     -3.398      3.452      0.000
   292        -2   (ubar)             -51   204     0   901   901     0   197      1.431     -0.240     -0.374      1.534      0.330
   293        21   (g)                -51   204     0   500   500   197   174     -0.246      0.405      0.190      0.511      0.000
   294        21   (g)                -52   205   205   498   499   174   173     -1.185     -0.165    -16.119     16.164      0.000
   295         1   (d)                -51   178     0   701   701   163     0      0.074      1.258      0.805      1.532      0.330
   296        -1   (dbar)             -51   178     0   488   488     0   162     -1.547     -0.770     -0.335      1.791      0.330
   297         2   (u)                -52   175   175   486   487   162     0     -3.817     21.269     10.821     24.169      0.330
   298        21   (g)                -51   215     0   482   482   198   177     -2.148      1.078      0.678      2.497      0.000
   299        21   (g)                -51   215     0   480   481   106   198      0.307     -0.320      0.103      0.456      0.000
   300        21   (g)                -52   201   201   645   645   133   106      1.351      0.375     26.788     26.825      0.000
   301        21   (g)                -41   859   859   307   209   199   141      0.000      0.000    288.768    288.768      0.000
   302        21   (g)                -42   860   860   210   210   176   156      0.000      0.000   -187.966    187.966      0.000
   303        21   (g)                -44   211   211   334   334   139   141     -1.649     -1.141    264.305    264.313      0.000
   304         4   (c)                -44   212   212   573   573   140     0      1.868      2.370     23.277     23.519      1.500
   305        -4   (cbar)             -44   213   213   863   863     0   156      1.021     -0.978     -0.352      2.091      1.500
   306        21   (g)                -44   214   214   332   333   176   139     -1.228      0.185   -186.367    186.371      0.000
   307        21   (g)                -43   301     0   571   572   199   140     -0.012     -0.436     -0.060      0.440      0.000
   308        -1   (dbar)             -51   263     0   397   397     0   117     -0.690     -0.329     -9.931      9.966      0.330
   309         1   (d)                -51   263     0   400   400   188     0     -0.267     -0.827    -39.659     39.670      0.330
   310        21   (g)                -52   288   288   394   394   160   188      0.032     -0.338     -8.106      8.114      0.000
   311        21   (g)                -51   262     0   382   383   118   200     -1.405     -0.291    -60.422     60.439      0.000
   312        21   (g)                -51   262     0   384   384   200   184     -0.036      0.689    -37.302     37.308      0.000
   313        21   (g)                -52   286   286   391   391   184   195     -1.057     -0.522    -19.199     19.235      0.000
   314        21   (g)                -51   283     0   320   321   201   193     -0.032     -2.394      9.529      9.825      0.000
   315        21   (g)                -51   283     0   322   322   137   201     -0.336      0.335      2.591      2.634      0.000
   316        -2   (ubar)             -52    95    95   850   850     0   137     -1.165      1.945      2.854      3.659      0.330
   317        21   (g)                -51   182     0   568   569   164   202     -1.178     -1.542     -5.911      6.221      0.000
   318        21   (g)                -51   182     0   329   330   202   138     -1.692     -6.960    -30.849     31.670      0.000
   319         5   (b)                -52   183   183   331   331   138     0    -18.907    -47.717   -155.253    163.587      4.800
   320        21   (g)                -51   314     0   515   515   203   193      0.104     -2.243      8.199      8.501      0.000
   321        21   (g)                -51   314     0   513   514   201   203     -0.338      0.049      2.882      2.902      0.000
   322        21   (g)                -52   315   315   854   854   137   201     -0.135      0.135      1.040      1.057      0.000
   323        21   (g)                -51   231     0   654   654   108   204      0.497      0.077    -33.071     33.075      0.000
   324        21   (g)                -51   231     0   652   653   204   183     -0.299     -0.699     -7.108      7.149      0.000
   325        21   (g)                -52   230   230   612   612   183   146     -1.155     -1.098    -12.387     12.489      0.000
   326        21   (g)                -51   188     0   352   353   205   166     -0.385      0.021    -22.710     22.714      0.000
   327        21   (g)                -51   188     0   335   336   103   205      0.364      1.821   -269.194    269.201      0.000
   328        21   (g)                -52   189   189   337   337   110   103      4.644      0.583  -1526.948   1526.956      0.000
   329        21   (g)                -51   318     0   570   570   202   206     -1.639     -7.971    -31.939     32.960      0.000
   330        21   (g)                -51   318     0   711   711   206   138     -1.002     -1.256     -5.899      6.113      0.000
   331         5   (b)                -52   319   319   691   691   138     0    -17.958    -45.450   -148.264    156.184      4.800
   332        21   (g)                -51   306     0   420   421   176   207     -1.143      0.888   -176.076    176.082      0.000
   333        21   (g)                -51   306     0   348   348   207   139     -0.086     -0.704    -10.278     10.302      0.000
   334        21   (g)                -52   303   303   346   347   139   141     -1.649     -1.141    264.292    264.299      0.000
   335        -2   (ubar)             -51   327     0   354   354     0   205      1.149      1.408   -371.854    371.859      0.330
   336         2   (u)                -51   327     0   407   407   103     0     -0.244      0.481    -75.246     75.249      0.330
   337        21   (g)                -52   328   328   405   406   110   103      4.103      0.515  -1349.042   1349.049      0.000
   338        21   (g)                -41   887   887   342   162   208   159     -0.000      0.000     98.895     98.895      0.000
   339         2   (u)                -42   888   888   163   163   157     0      0.000     -0.000     -2.851      2.851      0.000
   340        21   (g)                -44   164   164   889   889   157   159     -1.574      1.687      4.673      5.212      0.000
   341         2   (u)                -44   165   165   443   443   158     0      1.298     -1.050     -2.300      2.861      0.330
   342        21   (g)                -43   338     0   441   442   208   158      0.276     -0.637     93.671     93.674      0.000
   343        21   (g)                -51   275     0   516   517   209   167      0.542      0.019     -2.692      2.746      0.000
   344        21   (g)                -51   275     0   474   475   122   209      1.799     -1.023     -2.948      3.602      0.000
   345        21   (g)                -52   273   273   351   351   111   122     -5.146     -3.267     -1.554      6.290      0.000
   346        21   (g)                -51   334     0   861   861   210   141     -0.418     -0.160    147.306    147.307      0.000
   347        21   (g)                -51   334     0   379   380   139   210     -1.231     -0.981    116.984    116.995      0.000
   348        21   (g)                -52   333   333   381   381   207   139     -0.086     -0.704    -10.276     10.300      0.000
   349        21   (g)                -51   279     0   432   433   191   211     -1.289      0.286     -0.232      1.340      0.000
   350        21   (g)                -51   279     0   434   434   211   111     -0.980     -0.981      0.247      1.408      0.000
   351        21   (g)                -52   345   345   476   476   111   122     -3.676     -2.333     -1.110      4.493      0.000
   352        21   (g)                -51   326     0   545   545   212   166     -0.051      1.052   -116.585    116.590      0.000
   353        21   (g)                -51   326     0   543   544   205   212      0.306     -0.274   -105.029    105.030      0.000
   354        -2   (ubar)             -52   335   335   710   710     0   205      0.510      0.651   -172.950    172.952      0.330
   355        21   (g)                -51   227     0   539   539   107   214     -2.488      0.375      3.973      4.703      0.000
   356        21   (g)                -51   227     0   752   752   214   181     -2.233     -0.538      2.141      3.140      0.000
   357        21   (g)                -52   228   228   429   430   181   127     -0.840      1.084      3.333      3.604      0.000
   358        21   (g)                -51   137     0   822   822   215   123      0.003      1.069      2.804      3.001      0.000
   359        21   (g)                -51   137     0   828   828   126   215     -1.804      1.967      4.990      5.659      0.000
   360        21   (g)                -53   821   821   136   136   126   125     -0.000     -0.000     -1.094      1.094      0.000
   361        21   (g)                -51   218     0   519   520   120   216      1.627      3.057     49.127     49.249      0.000
   362        21   (g)                -51   218     0   714   714   216   178     -0.233      0.679     16.138     16.154      0.000
   363        21   (g)                -52   219   219   655   656   178   101     -0.281      0.494     22.261     22.268      0.000
   364        21   (g)                -51   250     0   643   644   218   133     -0.073     -0.350     91.909     91.909      0.000
   365        21   (g)                -51   250     0   666   666   170   218      1.470     -0.425    148.480    148.488      0.000
   366        21   (g)                -52   249   249   601   602   187   170      0.934     -0.182    142.744    142.747      0.000
   367        21   (g)                -51   206     0   423   424   220   175      1.872     -2.197      9.079      9.527      0.000
   368        21   (g)                -51   206     0   829   829   168   220      0.050      0.160      0.169      0.238      0.000
   369        21   (g)                -52   194   194   580   581   124   168      0.748     -0.185      0.371      0.855      0.000
   370        21   (g)                -51   243     0   373   374   128   221     -0.535     -0.053     -1.461      1.557      0.000
   371        21   (g)                -51   243     0   408   409   221   185      0.633     -0.515     -1.335      1.564      0.000
   372        21   (g)                -52   242   242   410   410   185   169     -0.450      0.129     -7.863      7.877      0.000
   373        21   (g)                -51   370     0   411   412   222   221     -0.609     -0.307     -0.247      0.726      0.000
   374        21   (g)                -51   370     0   426   427   128   222      0.165      0.253     -1.010      1.054      0.000
   375        21   (g)                -52   244   244   428   428   177   128      0.260     -0.005      0.582      0.637      0.000
   376        21   (g)                -51   256     0   390   390   223   179      0.939      0.181      0.859      1.286      0.000
   377        21   (g)                -51   256     0   402   402   116   223      2.346      3.038      3.649      5.296      0.000
   378        21   (g)                -53   388     0   254   254   116   117     -0.000     -0.000      8.493      8.493      0.000
   379        21   (g)                -51   347     0   437   437   224   210     -0.855     -1.264     82.462     82.476      0.000
   380        21   (g)                -51   347     0   435   436   139   224     -0.376      0.283     34.518     34.522      0.000
   381        21   (g)                -52   348   348   422   422   207   139     -0.086     -0.704    -10.273     10.297      0.000
   382        21   (g)                -51   311     0   396   396   118   225     -0.817      0.005    -68.872     68.876      0.000
   383        21   (g)                -51   311     0   403   403   225   200     -0.608      0.081    -11.996     12.011      0.000
   384        21   (g)                -52   312   312   401   401   200   184     -0.016      0.311    -16.856     16.859      0.000
   385        21   (g)                -51   282     0   604   605   226   163      0.511      1.057      0.636      1.335      0.000
   386        21   (g)                -51   282     0   606   606   105   226     -0.485      0.365      0.013      0.607      0.000
   387        21   (g)                -52   281   281   707   707   192   105      0.956     -1.036     -0.703      1.575      0.000
   388        21   (g)                -41   546     0   404   378   116   227      0.000      0.000      8.892      8.892      0.000
   389        21   (g)                -42   416   416   255   255   189   151      0.000      0.000   -256.176    256.176      0.000
   390        21   (g)                -44   376   376   548   548   223   179      1.007      0.167      0.831      1.316      0.000
   391        21   (g)                -44   313   313   549   549   184   195     -1.056     -0.522    -19.154     19.190      0.000
   392        21   (g)                -44   258   258   527   527   147   119      0.421     -1.340      0.394      1.459      0.000
   393        21   (g)                -44   259   259   551   551   119   151     -0.838     -0.501     -1.157      1.514      0.000
   394        21   (g)                -44   310   310   542   542   160   188      0.032     -0.338     -8.103      8.110      0.000
   395        21   (g)                -44   261   261   525   526   179   147      0.764     -0.446      1.669      1.889      0.000
   396        21   (g)                -44   382   382   461   461   118   225     -0.817      0.005    -68.792     68.797      0.000
   397        -1   (dbar)             -44   308   308   555   555     0   117     -0.689     -0.329     -9.904      9.939      0.330
   398        21   (g)                -44   264   264   414   415   189   118      0.792      0.480    -37.373     37.385      0.000
   399        21   (g)                -44   287   287   540   541   195   160     -0.818      0.171    -41.058     41.066      0.000
   400         1   (d)                -44   309   309   558   558   188     0     -0.267     -0.827    -39.625     39.636      0.330
   401        21   (g)                -44   384   384   559   559   200   184     -0.016      0.311    -16.841     16.844      0.000
   402        21   (g)                -44   377   377   560   560   116   223      2.628      2.982      3.593      5.358      0.000
   403        21   (g)                -44   383   383   459   460   225   200     -0.608      0.081    -11.967     11.982      0.000
   404        21   (g)                -43   388     0   562   562   117   227     -0.536      0.105      0.202      0.582      0.000
   405        21   (g)                -51   337     0   483   484   110   228      3.809      0.228  -1149.975   1149.981      0.000
   406        21   (g)                -51   337     0   716   716   228   103      0.231      0.373   -206.630    206.630      0.000
   407         2   (u)                -52   336   336   712   712   103     0     -0.180      0.395    -67.683     67.686      0.330
   408        21   (g)                -51   371     0   413   413   221   229      0.674     -0.763     -2.771      2.952      0.000
   409        21   (g)                -51   371     0   756   756   229   185     -0.186      0.290     -1.089      1.142      0.000
   410        21   (g)                -52   372   372   489   490   185   169     -0.306      0.088     -5.337      5.346      0.000
   411        21   (g)                -51   373     0   746   746   222   230     -0.180      0.270     -0.702      0.773      0.000
   412        21   (g)                -51   373     0   757   757   230   221     -0.178     -0.862     -0.579      1.053      0.000
   413        21   (g)                -52   408   408   754   754   221   229      0.423     -0.478     -1.738      1.851      0.000
   414        21   (g)                -51   398     0   556   556   231   118      0.603      0.849    -58.820     58.829      0.000
   415        21   (g)                -51   398     0   563   563   189   231      0.189     -0.369    -38.271     38.273      0.000
   416        21   (g)                -53   547   547   389   389   189   151      0.000      0.000   -315.893    315.893      0.000
   417        21   (g)                -51   125     0   524   524   232   115      3.050     -0.903   -234.680    234.702      0.000
   418        21   (g)                -51   125     0   522   523   109   232      1.015     -0.814   -141.086    141.092      0.000
   419        21   (g)                -52   196   196   491   491   169   109     -1.116      1.755     -8.432      8.684      0.000
   420        21   (g)                -51   332     0   864   864   176   233     -0.475      0.441   -140.309    140.310      0.000
   421        21   (g)                -51   332     0   869   869   233   207     -0.679      0.350    -37.195     37.203      0.000
   422        21   (g)                -52   381   381   471   472   207   139     -0.074     -0.606     -8.845      8.866      0.000
   423        21   (g)                -51   367     0   646   647   220   234      1.692     -1.921      9.029      9.385      0.000
   424        21   (g)                -51   367     0   648   648   234   175      0.024     -0.314      0.272      0.416      0.000
   425        21   (g)                -52   207   207   592   593   175   152     -0.484     -0.118      0.688      0.850      0.000
   426        21   (g)                -51   374     0   755   755   235   222      0.410      0.484     -0.864      1.071      0.000
   427        21   (g)                -51   374     0   759   759   128   235     -0.117     -0.233      0.139      0.296      0.000
   428        21   (g)                -52   375   375   743   743   177   128      0.132     -0.002      0.296      0.324      0.000
   429        21   (g)                -51   357     0   744   744   181   236     -0.608     -0.047      1.958      2.051      0.000
   430        21   (g)                -51   357     0   760   760   236   127     -0.233      1.131      3.649      3.827      0.000
   431        21   (g)                -53   729   729   229   229   149   127      0.000     -0.000    543.438    543.438      0.000
   432        21   (g)                -51   349     0   589   590   191   237     -0.219      0.247      0.229      0.402      0.000
   433        21   (g)                -51   349     0   591   591   237   211     -1.618     -0.510     -0.322      1.727      0.000
   434        21   (g)                -52   350   350   785   785   211   111     -0.431     -0.432      0.109      0.620      0.000
   435        21   (g)                -51   380     0   473   473   139   238     -0.509      0.040     14.486     14.495      0.000
   436        21   (g)                -51   380     0   870   870   238   224     -0.450     -0.620     76.343     76.347      0.000
   437        21   (g)                -52   379   379   867   867   224   210     -0.271     -0.401     26.152     26.156      0.000
   438        21   (g)                -51   239     0   467   467   143   239     -0.328      1.393      2.847      3.187      0.000
   439        21   (g)                -51   239     0   465   466   239   145     -0.381     -0.256     -0.100      0.469      0.000
   440         1   (d)                -52   241   241   504   505   145     0      0.331      0.977    -24.835     24.859      0.330
   441        21   (g)                -51   342     0   501   502   208   240     -0.084     -0.963     87.601     87.606      0.000
   442        21   (g)                -51   342     0   470   470   240   158      0.366      0.322      6.060      6.080      0.000
   443         2   (u)                -52   341   341   468   469   158     0      1.292     -1.045     -2.290      2.849      0.330
   444        21   (g)                -51   285     0   479   479   241   180      0.838      0.069     10.509     10.543      0.000
   445        21   (g)                -51   285     0   856   856   134   241     -0.353     -0.207      5.865      5.879      0.000
   446        21   (g)                -52   284   284   853   853   193   134     -0.750     -0.379      3.184      3.293      0.000
   447        21   (g)                -51   290     0   749   749   242   165      0.283      0.070     -0.961      1.004      0.000
   448        21   (g)                -51   290     0   761   761   196   242     -0.748      0.416     -6.694      6.748      0.000
   449        21   (g)                -52   289   289   610   611   146   196     -0.013      0.570     -8.646      8.665      0.000
   450        21   (g)                -51   280     0   694   694   243   192      0.628      0.573     -0.629      1.058      0.000
   451        21   (g)                -51   280     0   717   717   190   243     -0.242     -0.188     -0.363      0.475      0.000
   452        21   (g)                -52   269   269   706   706   102   190     -0.121     -0.084      0.022      0.149      0.000
   453         3   (s)                -51   102     0   497   497   132     0      0.389      3.690     75.509     75.602      0.500
   454        -3   (sbar)             -51   102     0   684   684     0   131     -0.336      0.808     10.720     10.767      0.500
   455        21   (g)                -53   680     0   101   101   142   131     -0.000      0.000     -3.020      3.020      0.000
   456        21   (g)                -51   245     0   537   538   245   107      0.229      0.301     -1.318      1.372      0.000
   457        21   (g)                -51   245     0   762   762   186   245      0.315     -0.534     -0.349      0.712      0.000
   458        21   (g)                -52   246   246   747   747   148   186      1.482      0.055     -4.528      4.765      0.000
   459        21   (g)                -51   403     0   561   561   246   200     -1.194     -0.191    -59.993     60.005      0.000
   460        21   (g)                -51   403     0   564   564   225   246     -0.048      0.276     -5.384      5.391      0.000
   461        21   (g)                -52   396   396   554   554   118   225     -0.183      0.001    -15.382     15.383      0.000
   462        21   (g)                -51   104     0   533   533   142   248      0.417     -1.323     -2.119      2.533      0.000
   463        21   (g)                -51   104     0   531   532   248   129     -0.295     -0.801     -0.298      0.905      0.000
   464        21   (g)                -53   679   679   100   100   130   129      0.000     -0.000    147.779    147.779      0.000
   465        21   (g)                -51   439     0   506   506   249   145     -0.146      0.312     -0.170      0.384      0.000
   466        21   (g)                -51   439     0   642   642   239   249     -0.313     -0.236      0.749      0.845      0.000
   467        21   (g)                -52   438   438   640   641   143   239     -0.250      1.061      2.168      2.427      0.000
   468         2   (u)                -51   443     0   890   890   250     0      0.959     -0.301     -0.733      1.287      0.330
   469        21   (g)                -51   443     0   588   588   158   250      0.339     -0.739     -1.453      1.665      0.000
   470        21   (g)                -52   442   442   503   503   240   158      0.359      0.316      5.957      5.976      0.000
   471        21   (g)                -51   422     0   866   866   207   251     -0.192      0.051     -5.974      5.978      0.000
   472        21   (g)                -51   422     0   510   511   251   139      0.117     -0.657     -2.841      2.918      0.000
   473        21   (g)                -52   435   435   512   512   139   238     -0.508      0.039     14.456     14.465      0.000
   474        21   (g)                -51   344     0   518   518   252   209      1.492     -0.915     -1.706      2.445      0.000
   475        21   (g)                -51   344     0   507   508   122   252      0.186     -0.184     -1.278      1.305      0.000
   476        21   (g)                -52   351   351   509   509   111   122     -3.555     -2.257     -1.074      4.346      0.000
   477        21   (g)                -51   224     0   851   851   253   155     -1.720      0.202    120.887    120.899      0.000
   478        21   (g)                -51   224     0   857   857   180   253     -0.196     -0.291      7.691      7.699      0.000
   479        21   (g)                -52   444   444   852   852   241   180      0.731      0.060      9.168      9.198      0.000
   480        21   (g)                -51   299     0   750   750   106   254      0.296      0.237     -0.042      0.382      0.000
   481        21   (g)                -51   299     0   627   627   254   198     -0.481     -0.310      0.300      0.646      0.000
   482        21   (g)                -52   298   298   625   626   198   177     -1.656      0.831      0.522      1.925      0.000
   483        21   (g)                -51   405     0   695   695   255   228      2.197      0.600   -674.779    674.783      0.000
   484        21   (g)                -51   405     0   718   718   110   255      1.612     -0.372   -550.203    550.205      0.000
   485        21   (g)                -53   657   657   220   220   110   101      0.000      0.000  -2193.247   2193.247      0.000
   486         2   (u)                -51   297     0   651   651   256     0     -3.522     17.039      8.683     19.448      0.330
   487        21   (g)                -51   297     0   534   535   162   256     -0.312      4.221      2.134      4.740      0.000
   488        -1   (dbar)             -52   296   296   536   536     0   162     -1.530     -0.761     -0.332      1.771      0.330
   489        21   (g)                -51   410     0   741   741   185   257     -0.207      0.173     -0.433      0.511      0.000
   490        21   (g)                -51   410     0   764   764   257   169     -0.646      0.776     -9.042      9.098      0.000
   491        21   (g)                -52   419   419   735   735   169   109     -0.568      0.893     -4.293      4.422      0.000
   492        -1   (dbar)             -51   270     0   697   697     0   102      1.205      1.422     -1.965      2.728      0.330
   493         1   (d)                -51   270     0   720   720   121     0      3.119      0.922     -5.089      6.049      0.330
   494        -5   (bbar)             -52    47    47   692   692     0   121     18.405     22.489    -25.739     39.116      4.800
   495         1   (d)                -51   103     0   682   682   130     0      0.199     -0.887     30.666     30.681      0.330
   496        -1   (dbar)             -51   103     0   686   686     0   132     -0.364     -1.389     32.244     32.278      0.330
   497         3   (s)                -52   453   453   681   681   132     0      0.379      3.592     73.547     73.637      0.500
   498        21   (g)                -51   294     0   902   902   258   173     -0.771     -0.480    -13.661     13.691      0.000
   499        21   (g)                -51   294     0   576   576   174   258     -0.431      0.342     -2.445      2.506      0.000
   500        21   (g)                -52   293   293   574   575   197   174     -0.230      0.378      0.177      0.476      0.000
   501        21   (g)                -51   441     0   891   891   208   259     -0.169     -0.678     27.470     27.479      0.000
   502        21   (g)                -51   441     0   624   624   259   240      0.163     -0.217     61.418     61.418      0.000
   503        21   (g)                -52   470   470   586   587   240   158      0.282      0.248      4.670      4.685      0.000
   504         1   (d)                -51   440     0   672   672   260     0      0.564      0.471    -18.578     18.595      0.330
   505        21   (g)                -51   440     0   637   638   145   260     -0.248      0.539     -6.275      6.303      0.000
   506        21   (g)                -52   465   465   639   639   249   145     -0.131      0.280     -0.153      0.345      0.000
   507        21   (g)                -51   475     0   615   615   261   252     -0.209      0.206     -0.924      0.970      0.000
   508        21   (g)                -51   475     0   788   788   122   261      0.037     -0.618     -0.462      0.773      0.000
   509        21   (g)                -52   476   476   777   777   111   122     -3.197     -2.029     -0.965      3.908      0.000
   510        21   (g)                -51   472     0   630   630   251   262      0.493     -0.533     -2.691      2.787      0.000
   511        21   (g)                -51   472     0   628   629   262   139     -0.387     -0.123      0.154      0.434      0.000
   512        21   (g)                -52   473   473   868   868   139   238     -0.497      0.039     14.153     14.161      0.000
   513        21   (g)                -51   321     0   855   855   201   263      0.108     -0.608      1.548      1.667      0.000
   514        21   (g)                -51   321     0   858   858   263   203     -0.403     -0.255      4.671      4.696      0.000
   515        21   (g)                -52   320   320   847   847   203   193      0.062     -1.330      4.861      5.040      0.000
   516        21   (g)                -51   343     0   779   779   264   167      1.143     -0.046     -2.584      2.826      0.000
   517        21   (g)                -51   343     0   789   789   209   264     -0.121     -0.228     -0.656      0.705      0.000
   518        21   (g)                -52   474   474   613   614   252   209      1.013     -0.621     -1.159      1.660      0.000
   519        21   (g)                -51   361     0   696   696   265   216      0.619      1.352     16.194     16.262      0.000
   520        21   (g)                -51   361     0   721   721   120   265      1.008      1.705     36.447     36.500      0.000
   521        21   (g)                -53   689   689   111   111   120   104     -0.000     -0.000    130.921    130.921      0.000
   522        21   (g)                -51   418     0   758   758   109   266      2.066     -1.185   -237.258    237.270      0.000
   523        21   (g)                -51   418     0   765   765   266   232      1.057     -0.253    -66.053     66.062      0.000
   524        21   (g)                -52   417   417   733   733   232   115      0.942     -0.279    -72.456     72.462      0.000
   525        21   (g)                -51   395     0   553   553   179   267      0.136      0.183      0.174      0.286      0.000
   526        21   (g)                -51   395     0   565   565   267   147      0.779     -1.105      1.636      2.122      0.000
   527        21   (g)                -52   392   392   550   550   147   119      0.271     -0.863      0.254      0.939      0.000
   528        21   (g)                -51   181     0   698   698   269   164     -3.521     -4.986    -20.693     21.575      0.000
   529        21   (g)                -51   181     0   722   722   150   269     -0.537     -0.089     -2.170      2.238      0.000
   530        21   (g)                -52   187   187   700   700   166   150      0.813     -0.382    -24.941     24.957      0.000
   531        21   (g)                -51   463     0   685   685   270   129     -0.098     -1.049     -0.391      1.124      0.000
   532        21   (g)                -51   463     0   687   687   248   270      0.049     -0.532     -1.156      1.273      0.000
   533        21   (g)                -52   462   462   683   683   142   248      0.171     -0.543     -0.870      1.040      0.000
   534        21   (g)                -51   487     0   649   650   271   256      0.259      1.907      0.791      2.081      0.000
   535        21   (g)                -51   487     0   723   723   162   271     -0.623      2.286      1.331      2.718      0.000
   536        -1   (dbar)             -52   488   488   708   708     0   162     -1.478     -0.733     -0.320      1.712      0.330
   537        21   (g)                -51   456     0   738   738   245   272     -0.192      0.524     -0.936      1.090      0.000
   538        21   (g)                -51   456     0   579   579   272   107      0.329     -0.208     -0.236      0.455      0.000
   539        21   (g)                -52   355   355   577   578   107   214     -2.397      0.361      3.827      4.530      0.000
   540        21   (g)                -51   399     0   557   557   195   274     -0.987     -0.137    -41.141     41.153      0.000
   541        21   (g)                -51   399     0   566   566   274   160      0.196      0.009     -7.062      7.064      0.000
   542        21   (g)                -52   394   394   552   552   160   188      0.004     -0.040     -0.958      0.959      0.000
   543        21   (g)                -51   353     0   713   713   205   275      0.236     -0.222   -122.048    122.049      0.000
   544        21   (g)                -51   353     0   724   724   275   212      0.044      0.461    -39.876     39.878      0.000
   545        21   (g)                -52   352   352   704   704   212   166     -0.026      0.539    -59.691     59.693      0.000
   546        21   (g)                -41   794   794   567   388   276   227     -0.000     -0.000      9.668      9.668      0.000
   547        21   (g)                -42   660   660   416   416   189   151      0.000      0.000   -315.893    315.893      0.000
   548        21   (g)                -44   390   390   619   620   223   179      0.974      0.126      0.849      1.298      0.000
   549        21   (g)                -44   391   391   797   797   184   195     -1.056     -0.523    -19.176     19.212      0.000
   550        21   (g)                -44   527   527   598   599   147   119      0.253     -0.886      0.242      0.952      0.000
   551        21   (g)                -44   393   393   600   600   119   151     -0.843     -0.508     -1.179      1.536      0.000
   552        21   (g)                -44   542   542   800   800   160   188      0.004     -0.040     -0.958      0.959      0.000
   553        21   (g)                -44   525   525   801   801   179   267      0.129      0.174      0.179      0.281      0.000
   554        21   (g)                -44   461   461   802   802   118   225     -0.183      0.001    -15.381     15.382      0.000
   555        -1   (dbar)             -44   397   397   803   803     0   117     -0.690     -0.330     -9.919      9.954      0.330
   556        21   (g)                -44   414   414   609   609   231   118      0.603      0.849    -58.782     58.791      0.000
   557        21   (g)                -44   540   540   805   805   195   274     -0.987     -0.137    -41.150     41.163      0.000
   558         1   (d)                -44   400   400   806   806   188     0     -0.267     -0.827    -39.636     39.647      0.330
   559        21   (g)                -44   401   401   807   807   200   184     -0.016      0.311    -16.831     16.834      0.000
   560        21   (g)                -44   402   402   621   621   116   223      2.490      2.811      3.689      5.264      0.000
   561        21   (g)                -44   459   459   809   809   246   200     -1.194     -0.191    -60.003     60.015      0.000
   562        21   (g)                -44   404   404   810   810   117   227     -0.548      0.090      0.195      0.589      0.000
   563        21   (g)                -44   415   415   607   608   189   231      0.189     -0.369    -38.267     38.269      0.000
   564        21   (g)                -44   460   460   812   812   225   246     -0.048      0.276     -5.378      5.385      0.000
   565        21   (g)                -44   526   526   813   813   267   147      0.720     -1.177      1.626      2.133      0.000
   566        21   (g)                -44   541   541   814   814   274   160      0.196      0.009     -7.057      7.060      0.000
   567        21   (g)                -43   546     0   815   815   276   116      0.276      0.339      0.713      0.836      0.000
   568        21   (g)                -51   317     0   703   703   164   277     -0.964     -1.987     -9.285      9.544      0.000
   569        21   (g)                -51   317     0   725   725   277   202     -0.547     -1.176     -3.121      3.380      0.000
   570        21   (g)                -52   329   329   709   709   202   206     -1.305     -6.350    -25.444     26.257      0.000
   571        21   (g)                -51   307     0   865   865   199   278     -0.387     -0.386      0.346      0.646      0.000
   572        21   (g)                -51   307     0   873   873   278   140      0.437      0.031      0.363      0.569      0.000
   573         4   (c)                -52   304   304   862   862   140     0      1.806      2.289     22.507     22.744      1.500
   574        21   (g)                -51   500     0   903   903   197   279      0.246      0.220      0.034      0.332      0.000
   575        21   (g)                -51   500     0   905   905   279   174     -0.595      0.252     -0.532      0.836      0.000
   576        21   (g)                -52   499   499   904   904   174   258     -0.312      0.248     -1.770      1.814      0.000
   577        21   (g)                -51   539     0   734   734   281   214     -1.663     -0.063      2.036      2.630      0.000
   578        21   (g)                -51   539     0   595   596   107   281     -0.702      0.403      1.768      1.944      0.000
   579        21   (g)                -52   538   538   597   597   272   107      0.297     -0.188     -0.213      0.411      0.000
   580        21   (g)                -51   369     0   826   826   284   168      0.610     -0.564      0.765      1.129      0.000
   581        21   (g)                -51   369     0   585   585   124   284      0.136      0.376      0.609      0.729      0.000
   582        -1   (dbar)             -52   195   195   583   584     0   124     -1.122     -1.468    709.028    709.031      0.330
   583        -1   (dbar)             -51   582     0   824   824     0   285     -1.370     -1.577    689.798    689.801      0.330
   584        21   (g)                -51   582     0   832   832   285   124      0.250      0.118     19.244     19.246      0.000
   585        21   (g)                -52   581   581   831   831   124   284      0.133      0.368      0.595      0.712      0.000
   586        21   (g)                -51   503     0   618   618   240   288      0.572      0.015      4.212      4.251      0.000
   587        21   (g)                -51   503     0   616   617   288   158     -0.274      0.197      0.387      0.514      0.000
   588        21   (g)                -52   469   469   661   662   158   250      0.323     -0.704     -1.383      1.585      0.000
   589        21   (g)                -51   432     0   783   783   191   289     -0.571      0.010     -0.411      0.703      0.000
   590        21   (g)                -51   432     0   790   790   289   237     -0.721     -0.101      0.426      0.843      0.000
   591        21   (g)                -52   433   433   786   786   237   211     -0.545     -0.172     -0.109      0.582      0.000
   592        21   (g)                -51   425     0   827   827   175   290     -0.432     -0.115      2.019      2.068      0.000
   593        21   (g)                -51   425     0   833   833   290   152      0.135      0.167      0.105      0.239      0.000
   594        21   (g)                -52   208   208   823   823   152   125      0.707      0.642      5.422      5.506      0.000
   595        21   (g)                -51   578     0   767   767   292   281     -0.163     -0.017      1.314      1.324      0.000
   596        21   (g)                -51   578     0   768   768   107   292     -0.466      0.375      0.402      0.721      0.000
   597        21   (g)                -52   579   579   766   766   272   107      0.224     -0.142     -0.161      0.311      0.000
   598        21   (g)                -51   550     0   798   798   147   293      0.028     -1.044     -0.263      1.077      0.000
   599        21   (g)                -51   550     0   816   816   293   119      0.028      0.039      0.229      0.234      0.000
   600        21   (g)                -52   551   551   658   659   119   151     -0.646     -0.389     -0.904      1.177      0.000
   601        21   (g)                -51   366     0   748   748   294   170      0.516     -0.329     59.089     59.092      0.000
   602        21   (g)                -51   366     0   769   769   187   294      0.245      0.145    133.830    133.830      0.000
   603        21   (g)                -52   248   248   739   739   149   187     -0.232     -0.002     67.113     67.114      0.000
   604        21   (g)                -51   385     0   702   702   296   163      0.042      0.824      0.804      1.152      0.000
   605        21   (g)                -51   385     0   726   726   226   296      0.214      0.425     -0.161      0.502      0.000
   606        21   (g)                -52   386   386   715   715   105   226     -0.230      0.173      0.006      0.287      0.000
   607        21   (g)                -51   563     0   811   811   189   298      0.574      0.389    -47.545     47.550      0.000
   608        21   (g)                -51   563     0   817   817   298   231     -0.062     -0.302    -22.254     22.256      0.000
   609        21   (g)                -52   556   556   804   804   231   118      0.280      0.394    -27.249     27.254      0.000
   610        21   (g)                -51   449     0   737   737   299   196     -0.195      0.271     -1.410      1.449      0.000
   611        21   (g)                -51   449     0   770   770   146   299     -0.051      0.077     -9.736      9.736      0.000
   612        21   (g)                -52   325   325   732   732   183   146     -0.922     -0.877     -9.887      9.968      0.000
   613        21   (g)                -51   518     0   784   784   301   209      0.437     -0.690     -1.119      1.385      0.000
   614        21   (g)                -51   518     0   791   791   252   301      0.495      0.149     -0.402      0.655      0.000
   615        21   (g)                -52   507   507   787   787   261   252     -0.127      0.126     -0.563      0.590      0.000
   616        21   (g)                -51   587     0   663   663   303   158     -0.406      0.016      1.143      1.213      0.000
   617        21   (g)                -51   587     0   896   896   288   303      0.420      0.189      1.359      1.435      0.000
   618        21   (g)                -52   586   586   622   623   240   288      0.285      0.008      2.097      2.116      0.000
   619        21   (g)                -51   548     0   796   796   304   179      1.223      0.758      0.852      1.672      0.000
   620        21   (g)                -51   548     0   818   818   223   304      0.664      0.399      1.350      1.557      0.000
   621        21   (g)                -52   560   560   808   808   116   223      1.577      1.780      2.336      3.334      0.000
   622        21   (g)                -51   618     0   892   892   305   288      0.305     -0.143     23.619     23.621      0.000
   623        21   (g)                -51   618     0   897   897   240   305      0.038      0.074      0.195      0.212      0.000
   624        21   (g)                -52   502   502   894   894   259   240      0.105     -0.140     39.701     39.702      0.000
   625        21   (g)                -51   482     0   731   731   307   177     -0.751      0.485      0.658      1.111      0.000
   626        21   (g)                -51   482     0   771   771   198   307     -1.198      0.156      0.048      1.209      0.000
   627        21   (g)                -52   481   481   763   763   254   198     -0.187     -0.121      0.117      0.252      0.000
   628        21   (g)                -51   511     0   872   872   308   139     -0.053     -0.027      0.272      0.278      0.000
   629        21   (g)                -51   511     0   874   874   262   308     -0.216     -0.224     -0.764      0.825      0.000
   630        21   (g)                -52   510   510   871   871   251   262      0.375     -0.405     -2.045      2.119      0.000
   631        21   (g)                -51   276     0   780   780   161   309      0.612      0.266    -37.473     37.479      0.000
   632        21   (g)                -51   276     0   634   635   309   112      0.986     -0.379    -32.389     32.406      0.000
   633        21   (g)                -53   636   636   271   271   191   112      0.000     -0.000      3.666      3.666      0.000
   634        21   (g)                -51   632     0   792   792   309   310      1.009     -0.300    -19.940     19.967      0.000
   635        21   (g)                -51   632     0   793   793   310   112     -0.023     -0.079    -12.444     12.444      0.000
   636        21   (g)                -53   775   775   633   633   191   112     -0.000      0.000      3.672      3.672      0.000
   637        21   (g)                -51   505     0   675   675   311   260     -0.578      0.405     -4.502      4.557      0.000
   638        21   (g)                -51   505     0   676   676   145   311      0.287      0.226     -1.823      1.859      0.000
   639        21   (g)                -52   506   506   673   673   249   145     -0.088      0.188     -0.103      0.232      0.000
   640        21   (g)                -51   467     0   670   670   143   312     -0.558      0.898      1.698      2.000      0.000
   641        21   (g)                -51   467     0   677   677   312   239      0.132      0.031      0.890      0.900      0.000
   642        21   (g)                -52   466   466   674   674   239   249     -0.138     -0.104      0.329      0.371      0.000
   643        21   (g)                -51   364     0   664   665   218   313     -0.218     -0.040     79.482     79.483      0.000
   644        21   (g)                -51   364     0   772   772   313   133      0.335     -0.258     16.176     16.182      0.000
   645        21   (g)                -52   300   300   736   736   133   106      1.162      0.323     23.038     23.070      0.000
   646        21   (g)                -51   423     0   825   825   220   314      1.656     -2.082      8.278      8.695      0.000
   647        21   (g)                -51   423     0   834   834   314   234      0.046      0.024      0.870      0.872      0.000
   648        21   (g)                -52   424   424   830   830   234   175      0.014     -0.177      0.154      0.235      0.000
   649        21   (g)                -51   534     0   719   719   271   315     -0.849      4.788      2.259      5.362      0.000
   650        21   (g)                -51   534     0   727   727   315   256      0.271      1.123      0.575      1.291      0.000
   651         2   (u)                -52   486   486   693   693   256     0     -2.685     13.035      6.640     14.877      0.330
   652        21   (g)                -51   324     0   751   751   316   183      0.026     -0.577    -13.368     13.380      0.000
   653        21   (g)                -51   324     0   773   773   204   316     -0.216     -0.106     -0.984      1.013      0.000
   654        21   (g)                -52   323   323   745   745   108   204      0.388      0.060    -25.827     25.830      0.000
   655        21   (g)                -51   363     0   705   705   178   317     -0.625      0.300     19.225     19.237      0.000
   656        21   (g)                -51   363     0   728   728   317   101      0.344      0.195      3.020      3.046      0.000
   657        21   (g)                -53   690   690   485   485   110   101      0.000      0.000  -2193.262   2193.262      0.000
   658        21   (g)                -51   600     0   799   799   119   319     -0.677     -0.660     -2.004      2.216      0.000
   659        21   (g)                -51   600     0   819   819   319   151      0.031      0.270     -0.569      0.631      0.000
   660        21   (g)                -53   795   795   547   547   189   151     -0.000     -0.000   -317.563    317.563      0.000
   661        21   (g)                -51   588     0   893   893   320   250      0.223     -0.904     -1.250      1.559      0.000
   662        21   (g)                -51   588     0   898   898   158   320      0.038      0.203      0.040      0.210      0.000
   663        21   (g)                -52   616   616   895   895   303   158     -0.345      0.014      0.970      1.029      0.000
   664        21   (g)                -51   643     0   742   742   322   313     -0.277     -0.120     32.072     32.073      0.000
   665        21   (g)                -51   643     0   774   774   218   322      0.593     -0.075    101.464    101.465      0.000
   666        21   (g)                -52   365   365   753   753   170   218      0.935     -0.270     94.427     94.432      0.000
   667        21   (g)                -41   875   875   678   236   143   323     -0.000     -0.000    874.839    874.839      0.000
   668         1   (d)                -42   876   876   237   237   144     0      0.000      0.000    -25.390     25.390      0.000
   669         4   (c)                -44   238   238   877   877   144     0      1.039     -2.748     34.455     34.613      1.500
   670        21   (g)                -44   640   640   878   878   143   312     -0.557      0.902      1.697      2.001      0.000
   671        -4   (cbar)             -44   240   240   879   879     0   153     -0.616      0.973    118.687    118.702      1.500
   672         1   (d)                -44   504   504   880   880   260     0      0.564      0.471    -18.578     18.596      0.330
   673        21   (g)                -44   639   639   881   881   249   145     -0.088      0.188     -0.103      0.232      0.000
   674        21   (g)                -44   642   642   882   882   239   249     -0.137     -0.103      0.329      0.371      0.000
   675        21   (g)                -44   637   637   883   883   311   260     -0.578      0.405     -4.503      4.558      0.000
   676        21   (g)                -44   638   638   884   884   145   311      0.287      0.226     -1.823      1.859      0.000
   677        21   (g)                -44   641   641   885   885   312   239      0.132      0.033      0.890      0.900      0.000
   678        21   (g)                -43   667     0   886   886   153   323     -0.045     -0.347    718.397    718.397      0.000
   679        21   (g)                -42   835   835   464   464   130   129      0.000      0.000    147.779    147.779      0.000
   680        21   (g)                -41   836   836   688   455   142   324     -0.000     -0.000     -9.843      9.843      0.000
   681         3   (s)                -44   497   497   837   837   132     0      0.376      3.589     73.390     73.481      0.500
   682         1   (d)                -44   495   495   838   838   130     0      0.199     -0.888     30.691     30.706      0.330
   683        21   (g)                -44   533   533   839   839   142   248      0.109     -0.617     -0.852      1.058      0.000
   684        -3   (sbar)             -44   454   454   840   840     0   131     -0.337      0.806     10.699     10.746      0.500
   685        21   (g)                -44   531   531   841   841   270   129     -0.147     -1.108     -0.346      1.170      0.000
   686        -1   (dbar)             -44   496   496   842   842     0   132     -0.365     -1.390     32.307     32.341      0.330
   687        21   (g)                -44   532   532   843   843   248   270     -0.030     -0.626     -1.134      1.295      0.000
   688        21   (g)                -43   680     0   844   844   131   324      0.196      0.233     -6.819      6.826      0.000
   689        21   (g)                -61     1     0   521   521   120   104     -2.460     -0.638    130.909    130.934      0.000
   690        21   (g)                -61     2     0   657   657   112   101     -0.599      0.859  -2193.259   2193.259      0.000
   691         5   b                   62   331   331     0     0   138     0    -18.074    -45.409   -148.550    156.458      4.800
   692        -5   bbar                62   494   494     0     0     0   121     18.271     22.469    -25.510     38.891      4.800
   693         2   u                   62   651   651     0     0   256     0     -2.888     12.984      6.648     14.874      0.330
   694        21   g                   62   450   450     0     0   243   192      0.624      0.572     -0.622      1.050      0.000
   695        21   g                   62   483   483     0     0   255   228      2.012      0.864   -674.756    674.759      0.000
   696        21   g                   62   519   519     0     0   265   216      0.314      1.273     16.202     16.255      0.000
   697        -1   dbar                62   492   492     0     0     0   102      1.197      1.421     -1.950      2.714      0.330
   698        21   g                   62   528   528     0     0   269   164     -3.535     -4.979    -20.739     21.620      0.000
   699        -2   ubar                62   110   110     0     0     0   104      0.493      7.716      2.864      8.252      0.330
   700        21   g                   62   530   530     0     0   166   150      0.806     -0.372    -24.934     24.950      0.000
   701         1   d                   62   295   295     0     0   163     0      0.052      1.253      0.809      1.528      0.330
   702        21   g                   62   604   604     0     0   296   163      0.023      0.819      0.807      1.150      0.000
   703        21   g                   62   568   568     0     0   164   277     -0.969     -1.984     -9.299      9.558      0.000
   704        21   g                   62   545   545     0     0   212   166     -0.042      0.562    -59.689     59.692      0.000
   705        21   g                   62   655   655     0     0   178   317     -0.986      0.206     19.218     19.244      0.000
   706        21   g                   62   452   452     0     0   102   190     -0.123     -0.085      0.020      0.150      0.000
   707        21   g                   62   387   387     0     0   192   105      0.948     -1.038     -0.697      1.569      0.000
   708        -1   dbar                62   536   536     0     0     0   162     -1.491     -0.736     -0.335      1.728      0.330
   709        21   g                   62   570   570     0     0   202   206     -1.320     -6.342    -25.473     26.283      0.000
   710        -2   ubar                62   354   354     0     0     0   205      0.463      0.719   -172.943    172.946      0.330
   711        21   g                   62   330   330     0     0   206   138     -1.005     -1.254     -5.911      6.126      0.000
   712         2   u                   62   407   407     0     0   103     0     -0.199      0.422    -67.684     67.686      0.330
   713        21   g                   62   543   543     0     0   205   275      0.203     -0.175   -122.047    122.047      0.000
   714        21   g                   62   362   362     0     0   216   178     -0.536      0.600     16.136     16.157      0.000
   715        21   g                   62   606   606     0     0   105   226     -0.232      0.172      0.005      0.289      0.000
   716        21   g                   62   406   406     0     0   228   103      0.174      0.454   -206.627    206.627      0.000
   717        21   g                   62   451   451     0     0   190   243     -0.243     -0.189     -0.365      0.478      0.000
   718        21   g                   62   484   484     0     0   112   255      1.462     -0.157   -550.188    550.190      0.000
   719        21   g                   62   649   649     0     0   271   315     -0.921      4.770      2.264      5.360      0.000
   720         1   d                   62   493   493     0     0   121     0      3.109      0.922     -5.058      6.017      0.330
   721        21   g                   62   520   520     0     0   120   265      0.322      1.527     36.457     36.491      0.000
   722        21   g                   62   529   529     0     0   150   269     -0.538     -0.089     -2.176      2.243      0.000
   723        21   g                   62   535   535     0     0   162   271     -0.662      2.277      1.331      2.719      0.000
   724        21   g                   62   544   544     0     0   275   212      0.033      0.477    -39.874     39.877      0.000
   725        21   g                   62   569   569     0     0   277   202     -0.551     -1.175     -3.129      3.388      0.000
   726        21   g                   62   605   605     0     0   226   296      0.210      0.425     -0.158      0.500      0.000
   727        21   g                   62   650   650     0     0   315   256      0.254      1.119      0.580      1.286      0.000
   728        21   g                   62   656   656     0     0   317   101      0.287      0.180      3.024      3.043      0.000
   729        21   (g)                -61     1     0   431   431   149   120      1.624      1.096    543.438    543.442      0.000
   730        21   (g)                -61     2     0   232   232   101   115      0.940      2.388   -476.260    476.267      0.000
   731        21   g                   62   625   625     0     0   307   177     -0.748      0.488      0.659      1.110      0.000
   732        21   g                   62   612   612     0     0   183   146     -0.902     -0.827     -9.888      9.963      0.000
   733        21   g                   62   524   524     0     0   232   115      1.085      0.084    -72.456     72.465      0.000
   734        21   g                   62   577   577     0     0   281   214     -1.655     -0.057      2.037      2.625      0.000
   735        21   g                   62   491   491     0     0   169   109     -0.559      0.915     -4.292      4.424      0.000
   736        21   g                   62   645   645     0     0   133   106      1.231      0.369     23.038     23.074      0.000
   737        21   g                   62   610   610     0     0   299   196     -0.192      0.278     -1.410      1.450      0.000
   738        21   g                   62   537   537     0     0   245   272     -0.190      0.529     -0.935      1.091      0.000
   739        21   g                   62   603   603     0     0   149   187     -0.031      0.134     67.113     67.114      0.000
   740        21   g                   62   291   291     0     0   165   148      0.594      0.173     -3.398      3.454      0.000
   741        21   g                   62   489   489     0     0   185   257     -0.206      0.176     -0.433      0.511      0.000
   742        21   g                   62   664   664     0     0   322   313     -0.181     -0.055     32.072     32.072      0.000
   743        21   g                   62   428   428     0     0   177   128      0.133     -0.002      0.296      0.325      0.000
   744        21   g                   62   429   429     0     0   181   236     -0.602     -0.043      1.958      2.049      0.000
   745        21   g                   62   654   654     0     0   101   204      0.439      0.190    -25.827     25.832      0.000
   746        21   g                   62   411   411     0     0   222   230     -0.178      0.274     -0.701      0.774      0.000
   747        21   g                   62   458   458     0     0   148   186      1.492      0.079     -4.529      4.769      0.000
   748        21   g                   62   601   601     0     0   294   170      0.693     -0.210     59.088     59.093      0.000
   749        21   g                   62   447   447     0     0   242   165      0.285      0.075     -0.961      1.005      0.000
   750        21   g                   62   480   480     0     0   106   254      0.297      0.239     -0.042      0.383      0.000
   751        21   g                   62   652   652     0     0   316   183      0.053     -0.510    -13.369     13.378      0.000
   752        21   g                   62   356   356     0     0   214   181     -2.225     -0.530      2.141      3.133      0.000
   753        21   g                   62   666   666     0     0   170   218      1.217     -0.080     94.426     94.434      0.000
   754        21   g                   62   413   413     0     0   221   229      0.426     -0.469     -1.739      1.851      0.000
   755        21   g                   62   426   426     0     0   235   222      0.412      0.489     -0.863      1.074      0.000
   756        21   g                   62   409   409     0     0   229   185     -0.183      0.295     -1.089      1.143      0.000
   757        21   g                   62   412   412     0     0   230   221     -0.175     -0.857     -0.580      1.050      0.000
   758        21   g                   62   522   522     0     0   109   266      2.534      0.005   -237.260    237.274      0.000
   759        21   g                   62   427   427     0     0   128   235     -0.117     -0.232      0.139      0.295      0.000
   760        21   g                   62   430   430     0     0   236   120     -0.221      1.139      3.650      3.830      0.000
   761        21   g                   62   448   448     0     0   196   242     -0.734      0.450     -6.693      6.748      0.000
   762        21   g                   62   457   457     0     0   186   245      0.317     -0.531     -0.350      0.711      0.000
   763        21   g                   62   627   627     0     0   254   198     -0.187     -0.120      0.117      0.251      0.000
   764        21   g                   62   490   490     0     0   257   169     -0.628      0.821     -9.040      9.099      0.000
   765        21   g                   62   523   523     0     0   266   232      1.188      0.078    -66.054     66.065      0.000
   766        21   g                   62   597   597     0     0   272   107      0.225     -0.141     -0.161      0.311      0.000
   767        21   g                   62   595   595     0     0   292   281     -0.159     -0.015      1.314      1.324      0.000
   768        21   g                   62   596   596     0     0   107   292     -0.464      0.377      0.403      0.721      0.000
   769        21   g                   62   602   602     0     0   187   294      0.645      0.415    133.830    133.832      0.000
   770        21   g                   62   611   611     0     0   146   299     -0.032      0.126     -9.735      9.736      0.000
   771        21   g                   62   626   626     0     0   198   307     -1.195      0.160      0.048      1.207      0.000
   772        21   g                   62   644   644     0     0   313   133      0.383     -0.225     16.176     16.182      0.000
   773        21   g                   62   653   653     0     0   204   316     -0.214     -0.101     -0.984      1.012      0.000
   774        21   g                   62   665   665     0     0   218   322      0.897      0.130    101.463    101.467      0.000
   775        21   (g)                -61     1     0   636   636   123   112      0.339      0.653      3.626      3.700      0.000
   776        21   (g)                -61     2     0   272   272   115   250     -0.283     -2.951   -178.984    179.009      0.000
   777        21   g                   62   509   509     0     0   111   270     -3.064     -1.803     -0.638      3.612      0.000
   778        21   g                   62   274   274     0     0   114   231      1.536      1.312    -92.513     92.535      0.000
   779        21   g                   62   516   516     0     0   264   167      1.150     -0.070     -2.636      2.877      0.000
   780        21   g                   62   631   631     0     0   115   309      0.552     -0.353    -37.555     37.561      0.000
   781         3   s                   62   277   277     0     0   167     0     -0.398      0.163     -0.950      1.157      0.500
   782        -3   sbar                62   278   278     0     0     0   145      0.731      1.074     -5.700      5.867      0.500
   783        21   g                   62   589   589     0     0   191   117     -0.558      0.027     -0.387      0.680      0.000
   784        21   g                   62   613   613     0     0   301   142      0.447     -0.686     -1.074      1.351      0.000
   785        21   g                   62   434   434     0     0   211   111     -0.398     -0.371      0.167      0.569      0.000
   786        21   g                   62   591   591     0     0   237   199     -0.524     -0.135     -0.069      0.545      0.000
   787        21   g                   62   615   615     0     0   261   319     -0.127      0.119     -0.569      0.595      0.000
   788        21   g                   62   508   508     0     0   122   320      0.050     -0.600     -0.406      0.726      0.000
   789        21   g                   62   517   517     0     0   209   262     -0.120     -0.235     -0.629      0.682      0.000
   790        21   g                   62   590   590     0     0   289   237     -0.663      0.009      0.462      0.808      0.000
   791        21   g                   62   614   614     0     0   252   197      0.505      0.163     -0.442      0.691      0.000
   792        21   g                   62   634   634     0     0   309   160      0.978     -0.627    -19.973     20.006      0.000
   793        21   g                   62   635   635     0     0   310   118     -0.043     -0.284    -12.444     12.447      0.000
   794        21   (g)                -61     1     0   546   546   151   151      3.299      1.241      9.346      9.988      0.000
   795        21   (g)                -61     2     0   660   660   227   227     -1.907      0.707   -317.312    317.319      0.000
   796        21   g                   62   619   619     0     0   304   179      1.650      0.921      0.550      1.968      0.000
   797        21   g                   62   549   549     0     0   184   304     -1.164     -0.478    -18.945     18.987      0.000
   798        21   g                   62   598   598     0     0   147   122      0.163     -0.990     -0.215      1.026      0.000
   799        21   g                   62   658   658     0     0   119   258     -0.653     -0.642     -1.847      2.061      0.000
   800        21   g                   62   552   552     0     0   160   310     -0.002     -0.038     -0.956      0.957      0.000
   801        21   g                   62   553   553     0     0   179   116      0.207      0.204      0.138      0.321      0.000
   802        21   g                   62   554   554     0     0   118   246     -0.275      0.035    -15.338     15.340      0.000
   803        -1   dbar                62   555   555     0     0     0   184     -0.742     -0.306     -9.771      9.810      0.330
   804        21   g                   62   609   609     0     0   231   189      0.116      0.455    -27.301     27.305      0.000
   805        21   g                   62   557   557     0     0   195   188     -1.231     -0.045    -40.938     40.957      0.000
   806         1   d                   62   558   558     0     0   188     0     -0.503     -0.738    -39.507     39.518      0.330
   807        21   g                   62   559   559     0     0   200   233     -0.117      0.349    -16.835     16.839      0.000
   808        21   g                   62   621   621     0     0   116   276      2.539      2.146      1.856      3.807      0.000
   809        21   g                   62   561   561     0     0   246   195     -1.551     -0.057    -59.736     59.756      0.000
   810        21   g                   62   562   562     0     0   117   289     -0.415      0.141      0.272      0.516      0.000
   811        21   g                   62   607   607     0     0   189   176      0.289      0.495    -47.632     47.635      0.000
   812        21   g                   62   564   564     0     0   225   131     -0.079      0.288     -5.383      5.391      0.000
   813        21   g                   62   565   565     0     0   267   158      1.360     -0.935      1.513      2.239      0.000
   814        21   g                   62   566   566     0     0   274   114      0.154      0.025     -7.086      7.088      0.000
   815        21   g                   62   567   567     0     0   276   223      0.539      0.439      0.618      0.930      0.000
   816        21   g                   62   599   599     0     0   293   288      0.107      0.069      0.214      0.249      0.000
   817        21   g                   62   608   608     0     0   298   250     -0.195     -0.253    -22.207     22.209      0.000
   818        21   g                   62   620   620     0     0   223   284      1.158      0.587      1.161      1.742      0.000
   819        21   g                   62   659   659     0     0   319   252      0.038      0.276     -0.592      0.654      0.000
   820        -1   (dbar)             -61     1     0   135   135     0   123      0.000     -1.440    733.311    733.313      0.000
   821        21   (g)                -61     2     0   360   360   123   149      0.872      4.003      2.737      4.927      0.000
   822        21   g                   62   358   358     0     0   123   124      0.082      1.419      5.089      5.284      0.000
   823        21   g                   62   594   594     0     0   152   112      0.740      0.781      6.998      7.081      0.000
   824        -1   dbar                62   583   583     0     0     0   149     -1.368     -2.913    683.574    683.582      0.330
   825        21   g                   62   646   646     0     0   220   267      1.822     -1.330      5.829      6.250      0.000
   826        21   g                   62   580   580     0     0   284   278      0.756      0.103      0.612      0.978      0.000
   827        21   g                   62   592   592     0     0   175   308     -0.413     -0.029      1.716      1.765      0.000
   828        21   g                   62   359   359     0     0   126   137     -1.537      3.174      9.016      9.681      0.000
   829        21   g                   62   368   368     0     0   168   290      0.078      0.286      0.602      0.671      0.000
   830        21   g                   62   648   648     0     0   234   301      0.046     -0.028     -0.023      0.059      0.000
   831        21   g                   62   585   585     0     0   124   240      0.179      0.579      1.521      1.638      0.000
   832        21   g                   62   584   584     0     0   285   314      0.251      0.083     19.484     19.486      0.000
   833        21   g                   62   593   593     0     0   290   143      0.189      0.412      0.698      0.833      0.000
   834        21   g                   62   647   647     0     0   314   241      0.047      0.025      0.932      0.933      0.000
   835        21   (g)                -61     1     0   679   679   324   324      1.181      0.629    147.792    147.798      0.000
   836        21   (g)                -61     2     0   680   680   129   129     -0.269      0.152     -9.839      9.844      0.000
   837         3   s                   62   681   681     0     0   132     0      0.961      3.903     73.410     73.522      0.500
   838         1   d                   62   682   682     0     0   130     0      0.444     -0.757     30.685     30.700      0.330
   839        21   g                   62   683   683     0     0   142   248      0.084     -0.602     -0.857      1.051      0.000
   840        -3   sbar                62   684   684     0     0     0   144     -0.252      0.852     10.710     10.759      0.500
   841        21   g                   62   685   685     0     0   270   147     -0.165     -1.094     -0.349      1.160      0.000
   842        -1   dbar                62   686   686     0     0     0   208     -0.107     -1.252     32.309     32.335      0.330
   843        21   g                   62   687   687     0     0   248   209     -0.063     -0.607     -1.136      1.289      0.000
   844        21   g                   62   688   688     0     0   131   274      0.009      0.338     -6.819      6.827      0.000
   845         2   (u)                -61     1     0    90    90   112     0     -4.448     -0.211   1008.258   1008.268      0.000
   846        -2   (ubar)             -61     2     0    91    91     0   112      1.623     -2.951      3.569      4.907      0.000
   847        21   g                   62   515   515     0     0   203   201      0.243     -1.724      8.414      8.592      0.000
   848        21   g                   62    93    93     0     0   135   153     -1.318     -1.423    641.025    641.028      0.000
   849         2   u                   62   154   154     0     0   155     0      1.423      1.919    208.088    208.102      0.330
   850        -2   ubar                62   316   316     0     0     0   155     -0.182      0.175     -0.297      0.511      0.330
   851        21   g                   62   477   477     0     0   253   224     -2.226      0.150    118.273    118.294      0.000
   852        21   g                   62   479   479     0     0   241   203      0.722     -0.006     10.013     10.039      0.000
   853        21   g                   62   446   446     0     0   193   239     -0.632     -0.620      3.441      3.554      0.000
   854        21   g                   62   322   322     0     0   137   303     -0.117      0.096      0.633      0.651      0.000
   855        21   g                   62   513   513     0     0   201   220      0.238     -0.870      3.388      3.506      0.000
   856        21   g                   62   445   445     0     0   134   132     -0.362     -0.240      5.928      5.944      0.000
   857        21   g                   62   478   478     0     0   180   139     -0.222     -0.310      8.108      8.117      0.000
   858        21   g                   62   514   514     0     0   263   134     -0.395     -0.310      4.811      4.837      0.000
   859        21   (g)                -61     1     0   301   301   156   156      0.315      1.243    288.766    288.769      0.000
   860        21   (g)                -61     2     0   302   302   141   141     -0.613      3.307   -187.958    187.989      0.000
   861        21   g                   62   346   346     0     0   210   285     -0.257      0.474    147.304    147.305      0.000
   862         4   c                   62   573   573     0     0   140     0      1.830      2.389     22.518     22.767      1.500
   863        -4   cbar                62   305   305     0     0     0   312      1.018     -0.953     -0.360      2.079      1.500
   864        21   g                   62   420   420     0     0   176   200     -0.933      2.910   -140.299    140.332      0.000
   865        21   g                   62   571   571     0     0   199   211     -0.386     -0.381      0.344      0.643      0.000
   866        21   g                   62   471   471     0     0   207   298     -0.211      0.156     -5.973      5.979      0.000
   867        21   g                   62   437   437     0     0   224   238     -0.243     -0.288     26.149     26.152      0.000
   868        21   g                   62   512   512     0     0   139   253     -0.482      0.100     14.154     14.162      0.000
   869        21   g                   62   421   421     0     0   233   207     -0.800      1.004    -37.189     37.212      0.000
   870        21   g                   62   436   436     0     0   238   135     -0.367     -0.292     76.340     76.341      0.000
   871        21   g                   62   630   630     0     0   251   264      0.368     -0.368     -2.049      2.114      0.000
   872        21   g                   62   628   628     0     0   308   193     -0.053     -0.026      0.272      0.278      0.000
   873        21   g                   62   572   572     0     0   278   293      0.437      0.034      0.363      0.569      0.000
   874        21   g                   62   629   629     0     0   262   119     -0.219     -0.210     -0.765      0.823      0.000
   875        21   (g)                -61     1     0   667   667   260   250     -1.442      0.101    874.855    874.856      0.000
   876         1   (d)                -61     2     0   668   668   250     0     -1.237     -0.832    -25.369     25.412      0.000
   877         4   c                   62   669   669     0     0   144     0      0.978     -2.747     34.477     34.632      1.500
   878        21   g                   62   670   670     0     0   143   157     -0.568      0.897      1.696      2.001      0.000
   879        -4   cbar                62   671   671     0     0     0   259     -0.812      0.987    118.688    118.704      1.500
   880         1   d                   62   672   672     0     0   260     0     -0.342     -0.138    -18.583     18.590      0.330
   881        21   g                   62   673   673     0     0   249   279     -0.096      0.183     -0.104      0.231      0.000
   882        21   g                   62   674   674     0     0   239   263     -0.139     -0.103      0.334      0.376      0.000
   883        21   g                   62   675   675     0     0   311   261     -0.799      0.257     -4.492      4.570      0.000
   884        21   g                   62   676   676     0     0   145   225      0.197      0.165     -1.832      1.850      0.000
   885        21   g                   62   677   677     0     0   312   152      0.131      0.032      0.886      0.896      0.000
   886        21   g                   62   678   678     0     0   153   210     -1.229     -0.264    718.416    718.418      0.000
   887        21   (g)                -61     1     0   338   338   250   159      0.044     -0.759     98.896     98.899      0.000
   888         2   (u)                -61     2     0   339   339   159     0     -0.994     -0.924     -2.693      3.016      0.000
   889        21   g                   62   340   340     0     0   157   126     -1.665      1.562      4.696      5.222      0.000
   890         2   u                   62   468   468     0     0   250     0      0.607     -0.630     -0.797      1.229      0.330
   891        21   g                   62   501   501     0     0   208   180     -0.159     -0.891     27.608     27.622      0.000
   892        21   g                   62   622   622     0     0   305   130      0.315     -0.325     23.589     23.593      0.000
   893        21   g                   62   661   661     0     0   320   174     -0.267     -1.361     -1.068      1.751      0.000
   894        21   g                   62   624   624     0     0   259   305      0.123     -0.445     39.705     39.708      0.000
   895        21   g                   62   663   663     0     0   303   175     -0.355     -0.004      1.029      1.089      0.000
   896        21   g                   62   617   617     0     0   288   140      0.407      0.166      1.258      1.333      0.000
   897        21   g                   62   623   623     0     0   240   168      0.035      0.070      0.177      0.193      0.000
   898        21   g                   62   662   662     0     0   158   249      0.008      0.175      0.006      0.175      0.000
   899        -2   (ubar)             -61     1     0   202   202     0   149      1.357     -0.369      0.408      1.464      0.000
   900        21   (g)                -61     2     0   203   203   149   173     -0.024     -2.490    -17.901     18.073      0.000
   901        -2   ubar                62   292   292     0     0     0   173      2.259     -0.727     -1.824      3.011      0.330
   902        21   g                   62   498   498     0     0   258   251     -0.758     -2.406    -13.663     13.894      0.000
   903        21   g                   62   574   574     0     0   197   234      0.502      0.113     -0.234      0.565      0.000
   904        21   g                   62   576   576     0     0   174   311     -0.287      0.012     -1.593      1.619      0.000
   905        21   g                   62   575   575     0     0   279   191     -0.382      0.150     -0.179      0.448      0.000
   906      2101   ud_0                63     1     0     0     0     0   260      0.118     -0.582   2607.221   2607.221      0.579
   907         1   d                   63     1     0     0     0   104     0     -0.465     -0.868    155.761    155.765      0.330
   908         2   u                   63     1     0     0     0   159     0      0.537     -0.098    388.118    388.119      0.330
   909      2101   ud_0                63     2     0     0     0     0   123      1.213     -0.132  -2020.435   2020.435      0.579
   910         2   u                   63     2     0     0     0   173     0      0.755     -0.789  -1532.390   1532.390      0.330
   911        -1   dbar                63     2     0     0     0     0   159      0.524     -0.346    -34.610     34.618      0.330
                                   Charge sum:  2.000           Momentum sum:      0.000     -0.000      0.000  14000.000  14000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0   689     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0   690     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     7     0     5     6   101   102      0.000      0.000     12.504     12.504      0.000
     4        21   (g)                -21     8     8     5     6   103   101      0.000      0.000   -259.631    259.631      0.000
     5         5   (b)                -23     3     4     9     9   103     0    -23.822    -48.832   -162.906    171.794      4.800
     6        -5   (bbar)             -23     3     4    10    10     0   102     23.822     48.832    -84.221    100.341      4.800
     7        21   (g)                -41    19    19    11     3   101   104     -0.000      0.000     39.271     39.271      0.000
     8        21   (g)                -42    20     0     4     4   103   101      0.000     -0.000   -259.631    259.631      0.000
     9         5   (b)                -44     5     5    21    21   103     0    -21.502    -58.844   -197.178    206.948      4.800
    10        -5   (bbar)             -44     6     6    14    14     0   102     28.030     30.674    -40.521     58.237      4.800
    11        21   (g)                -43     7     0    12    13   102   104     -6.528     28.170     17.340     33.717      0.000
    12        21   (g)                -51    11     0    23    23   105   104     -4.289     35.160     13.248     37.817      0.000
    13        21   (g)                -51    11     0    24    24   102   105      1.490     -2.967     -1.312      3.570      0.000
    14        -5   (bbar)             -52    10    10    22    22     0   102     24.301     26.652    -35.117     50.568      4.800
    15        21   (g)                -31    30    30    17    18   106   107      0.000      0.000      2.089      2.089      0.000
    16        21   (g)                -31    31     0    17    18   108   109      0.000      0.000    -40.605     40.605      0.000
    17        21   (g)                -33    15    16    32    32   106   109     -5.271      2.348     -2.620      6.338      0.000
    18        21   (g)                -33    15    16    33    33   108   107      5.271     -2.348    -35.895     36.356      0.000
    19        21   (g)                -42    39     0     7     7   101   104      0.000      0.000     39.271     39.271      0.000
    20        21   (g)                -41    40    40    25     8   110   101     -0.000     -0.000  -2118.222   2118.222      0.000
    21         5   (b)                -44     9     9    41    41   103     0    -25.900    -59.396   -197.028    207.465      4.800
    22        -5   (bbar)             -44    14    14    42    42     0   102     23.369     26.535    -35.458     50.304      4.800
    23        21   (g)                -44    12    12    43    43   105   104     -4.556     35.126     13.213     37.805      0.000
    24        21   (g)                -44    13    13    44    44   102   105      1.437     -2.974     -1.327      3.559      0.000
    25        21   (g)                -43    20     0    45    45   110   103      5.651      0.710  -1858.352   1858.360      0.000
    26        21   (g)                -31   169   169    28    29   111   112      0.000      0.000      2.954      2.954      0.000
    27        21   (g)                -31   170     0    28    29   112   113      0.000      0.000   -108.527    108.527      0.000
    28        21   (g)                -33    26    27    50    51   111   114     -3.510     -3.184      0.966      4.836      0.000
    29        21   (g)                -33    26    27    52    52   114   113      3.510      3.184   -106.539    106.644      0.000
    30        21   (g)                -42    57     0    15    15   106   107     -0.000      0.000      2.089      2.089      0.000
    31        21   (g)                -41    58    58    34    16   108   115      0.000     -0.000   -436.847    436.847      0.000
    32        21   (g)                -44    17    17    59    59   106   109     -5.741      2.548     -2.735      6.851      0.000
    33        21   (g)                -44    18    18    60    60   108   107      1.483     -0.737    -38.639     38.674      0.000
    34        21   (g)                -43    31     0    61    61   109   115      4.258     -1.811   -393.385    393.412      0.000
    35        21   (g)                -31   140   140    37    38   116   117      0.000      0.000      8.016      8.016      0.000
    36        21   (g)                -31   117   117    37    38   118   119      0.000      0.000   -158.050    158.050      0.000
    37        21   (g)                -33    35    36   115   116   116   119      4.298      1.465      7.338      8.629      0.000
    38        21   (g)                -33    35    36   143   143   118   117     -4.298     -1.465   -157.371    157.437      0.000
    39        21   (g)                -41   111   111    46    19   120   104      0.000      0.000    126.873    126.873      0.000
    40        21   (g)                -42   220   220    20    20   110   101     -0.000     -0.000  -2118.222   2118.222      0.000
    41         5   (b)                -44    21    21    87    88   103     0    -26.048    -59.959   -200.592    211.030      4.800
    42        -5   (bbar)             -44    22    22    47    48     0   102     23.158     25.735    -33.717     48.564      4.800
    43        21   (g)                -44    23    23   109   110   105   104     -5.279     32.379     14.964     36.058      0.000
    44        21   (g)                -44    24    24    49    49   102   105      1.405     -3.094     -1.470      3.703      0.000
    45        21   (g)                -44    25    25    89    89   110   103      5.651      0.709  -1858.079   1858.088      0.000
    46        21   (g)                -43    39     0   218   219   120   101      1.112      4.230     87.544     87.653      0.000
    47        -5   (bbar)             -51    42     0   494   494     0   121     19.248     23.644    -26.875     40.925      4.800
    48        21   (g)                -51    42     0   270   270   121   102      4.207      1.437     -7.152      8.421      0.000
    49        21   (g)                -52    44    44   177   177   102   105      1.108     -2.441     -1.159      2.920      0.000
    50        21   (g)                -51    28     0   171   171   111   122     -5.861     -3.158     -2.235      7.023      0.000
    51        21   (g)                -51    28     0   173   173   122   114      2.545      0.149     -2.678      3.697      0.000
    52        21   (g)                -52    29    29   172   172   114   113      3.316      3.008   -100.660    100.760      0.000
    53        21   (g)                -31   135     0    55    56   124   123      0.000      0.000     11.539     11.539      0.000
    54        21   (g)                -31   136   136    55    56   126   125      0.000      0.000     -1.040      1.040      0.000
    55        21   (g)                -33    53    54   137   137   126   123     -2.560      2.042      7.299      8.000      0.000
    56        21   (g)                -33    53    54   138   138   124   125      2.560     -2.042      3.200      4.579      0.000
    57        21   (g)                -41    70     0    62    30   106   127      0.000     -0.000     10.503     10.503      0.000
    58        21   (g)                -42    71    71    31    31   108   115      0.000      0.000   -436.847    436.847      0.000
    59        21   (g)                -44    32    32    63    64   106   109     -2.561      2.039      0.768      3.363      0.000
    60        21   (g)                -44    33    33    73    73   108   107      1.511     -0.741    -39.741     39.777      0.000
    61        21   (g)                -44    34    34    65    65   109   115      4.279     -1.814   -395.460    395.487      0.000
    62        21   (g)                -43    57     0    75    75   107   127     -3.228      0.516      8.088      8.724      0.000
    63        21   (g)                -51    59     0    72    72   106   128     -0.863      0.694      1.866      2.170      0.000
    64        21   (g)                -51    59     0    76    76   128   109     -1.494      1.259    -19.895     19.991      0.000
    65        21   (g)                -52    61    61    74    74   109   115      4.075     -1.728   -376.662    376.688      0.000
    66        21   (g)                -31   100   100    68    69   130   129      0.000      0.000    147.656    147.656      0.000
    67        21   (g)                -31   101     0    68    69   129   131      0.000      0.000     -0.074      0.074      0.000
    68        21   (g)                -33    66    67   102   102   132   131      0.140      2.977     41.847     41.953      0.000
    69        21   (g)                -33    66    67   103   103   130   132     -0.140     -2.977    105.735    105.777      0.000
    70        21   (g)                -41   121     0    77    57   133   127     -0.000      0.000     44.612     44.612      0.000
    71        21   (g)                -42   122   122    58    58   108   115      0.000     -0.000   -436.847    436.847      0.000
    72        21   (g)                -44    63    63   123   123   106   128     -1.429      0.757      1.696      2.343      0.000
    73        21   (g)                -44    60    60   112   113   108   107      1.506     -0.741    -39.493     39.529      0.000
    74        21   (g)                -44    65    65   125   125   109   115      4.072     -1.728   -375.829    375.855      0.000
    75        21   (g)                -44    62    62   114   114   107   127     -5.586      0.777      7.466      9.357      0.000
    76        21   (g)                -44    64    64   127   127   128   109     -1.508      1.260    -20.113     20.208      0.000
    77        21   (g)                -43    70     0   128   128   133   106      2.946     -0.325     34.038     34.167      0.000
    78        21   (g)                -31    82     0    80    81   135   134      0.000      0.000    620.787    620.787      0.000
    79        21   (g)                -31    83    83    80    81   137   136      0.000      0.000     -0.212      0.212      0.000
    80        21   (g)                -33    78    79    84    84   137   134     -2.748     -0.995     10.037     10.453      0.000
    81        21   (g)                -33    78    79    85    85   135   136      2.748      0.995    610.539    610.546      0.000
    82         2   (u)                -41    90    90    86    78   135     0     -0.000     -0.000   1009.161   1009.161      0.000
    83        21   (g)                -42    91     0    79    79   137   136      0.000      0.000     -0.212      0.212      0.000
    84        21   (g)                -44    80    80    92    92   137   134     -2.769     -1.033     10.414     10.826      0.000
    85        21   (g)                -44    81    81    93    93   135   136      1.497     -1.267    632.886    632.889      0.000
    86         2   (u)                -43    82     0    94    94   134     0      1.272      2.300    365.648    365.658      0.330
    87         5   (b)                -51    41     0   183   183   138     0    -21.777    -55.057   -178.043    187.691      4.800
    88        21   (g)                -51    41     0   132   133   103   138     -4.260     -4.900    -26.278     27.068      0.000
    89        21   (g)                -52    45    45   134   134   110   103      5.640      0.708  -1854.350   1854.358      0.000
    90         2   (u)                -42   845   845    82    82   135     0      0.000     -0.000   1009.161   1009.161      0.000
    91        -2   (ubar)             -41   846   846    95    83     0   136     -0.000      0.000     -0.672      0.672      0.000
    92        21   (g)                -44    84    84   156   156   137   134     -1.485     -3.178     14.590     15.006      0.000
    93        21   (g)                -44    85    85   848   848   135   136      1.506     -1.283    636.929    636.932      0.000
    94         2   (u)                -44    86    86   154   155   134     0      1.302      2.250    353.739    353.749      0.330
    95        -2   (ubar)             -43    91     0   316   316     0   137     -1.323      2.211      3.231      4.146      0.330
    96        21   (g)                -31   157   157    98    99   140   141      0.000      0.000    288.194    288.194      0.000
    97         4   (c)                -31   158     0    98    99   139     0      0.000      0.000     -0.124      0.124      0.000
    98        21   (g)                -33    96    97   159   159   139   141     -1.668     -1.571    272.403    272.412      0.000
    99         4   (c)                -33    96    97   160   160   140     0      1.668      1.571     15.667     15.905      1.500
   100        21   (g)                -42   464   464    66    66   130   129      0.000     -0.000    147.656    147.656      0.000
   101        21   (g)                -41   455   455   104    67   142   131     -0.000      0.000     -3.009      3.009      0.000
   102        21   (g)                -44    68    68   453   454   132   131      0.053      4.498     86.240     86.357      0.000
   103        21   (g)                -44    69    69   495   496   130   132     -0.175     -2.374     60.947     60.994      0.000
   104        21   (g)                -43   101     0   462   463   142   129      0.122     -2.125     -2.540      3.314      0.000
   105         4   (c)                -31   149     0   107   108   143     0      0.000      0.000     33.589     33.589      0.000
   106        21   (g)                -31   150   150   107   108   144   145      0.000      0.000     -0.225      0.225      0.000
   107         4   (c)                -33   105   106   151   151   144     0      0.615     -1.851     27.976     28.084      1.500
   108        21   (g)                -33   105   106   152   152   143   145     -0.615      1.851      5.387      5.730      0.000
   109         2   (u)                -51    43     0   175   176   105     0     -5.878     24.636     12.660     28.317      0.330
   110        -2   (ubar)             -51    43     0   699   699     0   104      0.599      7.742      2.839      8.275      0.330
   111        21   (g)                -53   521   521    39    39   120   104      0.000     -0.000    127.407    127.407      0.000
   112        21   (g)                -51    73     0   124   124   108   146     -0.954     -1.722    -13.156     13.302      0.000
   113        21   (g)                -51    73     0   118   119   146   107      2.381      0.992    -26.232     26.359      0.000
   114        21   (g)                -52    75    75   120   120   107   127     -5.507      0.766      7.361      9.225      0.000
   115        21   (g)                -51    37     0   142   142   116   147      3.816      3.234      5.792      7.652      0.000
   116        21   (g)                -51    37     0   144   144   147   119      0.482     -1.768      0.596      1.927      0.000
   117        21   (g)                -53   141     0    36    36   118   119      0.000      0.000   -159.000    159.000      0.000
   118        21   (g)                -51   113     0   129   129   146   148      0.630      1.592    -24.580     24.639      0.000
   119        21   (g)                -51   113     0   130   130   148   107      1.520     -0.568     -1.344      2.107      0.000
   120        21   (g)                -52   114   114   126   126   107   127     -5.276      0.734      7.052      8.838      0.000
   121        21   (g)                -41   229   229   131    70   149   127     -0.000      0.000    538.663    538.663      0.000
   122        21   (g)                -42   232   232    71    71   108   115      0.000     -0.000   -436.847    436.847      0.000
   123        21   (g)                -44    72    72   198   198   106   128     -1.502      0.804      1.660      2.379      0.000
   124        21   (g)                -44   112   112   230   231   108   146     -0.957     -1.720    -13.152     13.299      0.000
   125        21   (g)                -44    74    74   417   418   109   115      4.071     -1.728   -375.716    375.742      0.000
   126        21   (g)                -44   120   120   227   228   107   127     -5.562      0.921      6.945      8.945      0.000
   127        21   (g)                -44    76    76   196   197   128   109     -1.509      1.261    -20.153     20.249      0.000
   128        21   (g)                -44    77    77   201   201   133   106      1.719      0.477     34.081     34.127      0.000
   129        21   (g)                -44   118   118   184   185   146   148      0.629      1.593    -24.586     24.645      0.000
   130        21   (g)                -44   119   119   186   186   148   107      1.506     -0.559     -1.310      2.073      0.000
   131        21   (g)                -43   121     0   199   200   149   133      1.605     -1.050    494.047    494.051      0.000
   132        21   (g)                -51    88     0   181   182   150   138     -4.090     -6.220    -35.825     36.590      0.000
   133        21   (g)                -51    88     0   187   188   103   150     -0.033      1.337    -35.543     35.568      0.000
   134        21   (g)                -52    89    89   189   189   110   103      5.503      0.690  -1809.260   1809.268      0.000
   135        -1   (dbar)             -41   820   820   139    53     0   123     -0.000     -0.000    736.307    736.307      0.000
   136        21   (g)                -42   360   360    54    54   126   125     -0.000     -0.000     -1.040      1.040      0.000
   137        21   (g)                -44    55    55   358   359   126   123     -1.800      3.036      7.848      8.605      0.000
   138        21   (g)                -44    56    56   146   147   124   125      2.946     -1.537      3.523      4.843      0.000
   139        -1   (dbar)             -43   135     0   148   148     0   124     -1.146     -1.498    723.896    723.899      0.330
   140        21   (g)                -42   168   168    35    35   116   117      0.000      0.000      8.016      8.016      0.000
   141        21   (g)                -41   235   235   145   117   118   151     -0.000     -0.000   -163.966    163.966      0.000
   142        21   (g)                -44   115   115   221   222   116   147      3.821      3.236      5.636      7.539      0.000
   143        21   (g)                -44    38    38   166   167   118   117     -3.462     -0.975   -160.954    160.995      0.000
   144        21   (g)                -44   116   116   223   223   147   119      0.486     -1.766      0.551      1.913      0.000
   145        21   (g)                -43   141     0   259   259   119   151     -0.844     -0.496     -1.183      1.535      0.000
   146        21   (g)                -51   138     0   208   208   152   125      1.370      1.244     10.512     10.674      0.000
   147        21   (g)                -51   138     0   193   194   124   152      1.559     -2.804      3.862      5.021      0.000
   148        -1   (dbar)             -52   139   139   195   195     0   124     -1.129     -1.476    713.045    713.047      0.330
   149        21   (g)                -41   236   236   153   105   143   153     -0.000     -0.000    156.441    156.441      0.000
   150        21   (g)                -42   237     0   106   106   144   145      0.000     -0.000     -0.225      0.225      0.000
   151         4   (c)                -44   107   107   238   238   144     0      1.149     -2.468     29.715     29.877      1.500
   152        21   (g)                -44   108   108   239   239   143   145     -0.509      1.729      5.771      6.046      0.000
   153        -4   (cbar)             -43   149     0   240   240     0   153     -0.640      0.739    120.730    120.743      1.500
   154         2   (u)                -51    94     0   849   849   155     0      2.314      2.012    209.790    209.813      0.330
   155        21   (g)                -51    94     0   224   225   134   155     -1.073      0.108    144.545    144.549      0.000
   156        21   (g)                -52    92    92   226   226   137   134     -1.424     -3.049     13.994     14.393      0.000
   157        21   (g)                -42   209   209    96    96   140   141     -0.000     -0.000    288.194    288.194      0.000
   158        21   (g)                -41   210     0   161    97   139   156      0.000      0.000     -1.347      1.347      0.000
   159        21   (g)                -44    98    98   211   211   139   141     -1.664     -1.540    264.868    264.878      0.000
   160         4   (c)                -44    99    99   212   212   140     0      1.758      2.351     22.605     22.844      1.500
   161        -4   (cbar)             -43   158     0   213   213     0   156     -0.094     -0.812     -0.626      1.819      1.500
   162        21   (g)                -31   338     0   164   165   158   159      0.000      0.000      5.178      5.178      0.000
   163         2   (u)                -31   339   339   164   165   157     0      0.000      0.000     -2.851      2.851      0.000
   164        21   (g)                -33   162   163   340   340   157   159     -1.312      1.084      4.752      5.048      0.000
   165         2   (u)                -33   162   163   341   341   158     0      1.312     -1.084     -2.425      2.981      0.330
   166        21   (g)                -51   143     0   233   234   118   160     -2.834      0.862    -91.402     91.450      0.000
   167        21   (g)                -51   143     0   251   252   160   117     -0.628     -1.837    -69.535     69.563      0.000
   168        21   (g)                -53   253   253   140   140   116   117     -0.000      0.000      8.034      8.034      0.000
   169        21   (g)                -42   271     0    26    26   111   112      0.000     -0.000      2.954      2.954      0.000
   170        21   (g)                -41   272   272   174    27   161   113     -0.000      0.000   -178.854    178.854      0.000
   171        21   (g)                -44    50    50   273   273   111   122     -5.929     -3.153     -2.229      7.076      0.000
   172        21   (g)                -44    52    52   192   192   114   113      1.836      3.113   -101.192    101.257      0.000
   173        21   (g)                -44    51    51   190   191   122   114      2.498      0.153     -2.715      3.693      0.000
   174        21   (g)                -43   170     0   276   276   161   112      1.595     -0.113    -69.764     69.782      0.000
   175         2   (u)                -51   109     0   297   297   162     0     -4.088     22.780     11.589     25.885      0.330
   176        21   (g)                -51   109     0   178   179   105   162     -1.720      1.702      0.997      2.617      0.000
   177        21   (g)                -52    49    49   180   180   102   105      1.038     -2.286     -1.086      2.735      0.000
   178        21   (g)                -51   176     0   295   296   163   162     -1.202     -1.022     -0.299      1.606      0.000
   179        21   (g)                -51   176     0   282   282   105   163     -0.121      1.851      0.882      2.054      0.000
   180        21   (g)                -52   177   177   268   269   102   105      0.642     -1.414     -0.672      1.692      0.000
   181        21   (g)                -51   132     0   528   529   150   164     -4.091     -5.059    -21.855     22.803      0.000
   182        21   (g)                -51   132     0   317   318   164   138     -1.746     -5.727    -28.166     28.795      0.000
   183         5   (b)                -52    87    87   319   319   138     0    -20.030    -50.491   -163.847    172.683      4.800
   184        21   (g)                -51   129     0   289   290   146   165     -0.996      0.918    -13.301     13.370      0.000
   185        21   (g)                -51   129     0   247   247   165   148      2.007      0.533    -11.617     11.801      0.000
   186        21   (g)                -52   130   130   245   246   148   107      1.124     -0.417     -0.978      1.547      0.000
   187        21   (g)                -51   133     0   530   530   166   150      0.846     -0.397    -25.949     25.966      0.000
   188        21   (g)                -51   133     0   326   327   103   166     -0.349      1.801   -183.599    183.609      0.000
   189        21   (g)                -52   134   134   328   328   110   103      4.974      0.624  -1635.254   1635.261      0.000
   190        21   (g)                -51   173     0   275   275   122   167      2.390     -0.898     -5.247      5.835      0.000
   191        21   (g)                -51   173     0   265   266   167   114      0.183      1.179     -1.619      2.011      0.000
   192        21   (g)                -52   172   172   267   267   114   113      1.761      2.985    -97.041     97.103      0.000
   193        21   (g)                -51   147     0   206   207   168   152      0.567     -2.565      6.386      6.905      0.000
   194        21   (g)                -51   147     0   369   369   124   168      0.987     -0.245      0.490      1.129      0.000
   195        -1   (dbar)             -52   148   148   582   582     0   124     -1.124     -1.470    710.031    710.033      0.330
   196        21   (g)                -51   127     0   419   419   169   109     -1.123      1.765     -8.483      8.737      0.000
   197        21   (g)                -51   127     0   217   217   128   169     -0.452     -0.468    -11.598     11.617      0.000
   198        21   (g)                -52   123   123   215   216   106   128     -1.436      0.769      1.587      2.275      0.000
   199        21   (g)                -51   131     0   248   249   149   170      1.841      0.131    429.806    429.810      0.000
   200        21   (g)                -51   131     0   250   250   170   133      0.086     -1.092     70.615     70.623      0.000
   201        21   (g)                -52   128   128   300   300   133   106      1.398      0.388     27.707     27.745      0.000
   202        -2   (ubar)             -31   899   899   204   205     0   172      0.000      0.000      0.953      0.953      0.000
   203        21   (g)                -31   900   900   204   205   172   173      0.000      0.000    -17.256     17.256      0.000
   204        -2   (ubar)             -33   202   203   292   293     0   174      1.234      0.172      0.483      1.376      0.330
   205        21   (g)                -33   202   203   294   294   174   173     -1.234     -0.172    -16.786     16.832      0.000
   206        21   (g)                -51   193     0   367   368   168   175      1.683     -1.977      9.130      9.492      0.000
   207        21   (g)                -51   193     0   425   425   175   152     -0.640     -0.156      0.910      1.124      0.000
   208        21   (g)                -52   146   146   594   594   152   125      0.894      0.812      6.858      6.964      0.000
   209        21   (g)                -42   301     0   157   157   140   141      0.000     -0.000    288.194    288.194      0.000
   210        21   (g)                -41   302   302   214   158   176   156      0.000      0.000   -187.966    187.966      0.000
   211        21   (g)                -44   159   159   303   303   139   141     -1.659     -1.540    263.952    263.961      0.000
   212         4   (c)                -44   160   160   304   304   140     0      1.867      2.335     23.247     23.486      1.500
   213        -4   (cbar)             -44   161   161   305   305     0   156      1.021     -0.979     -0.355      2.092      1.500
   214        21   (g)                -43   210     0   306   306   176   139     -1.228      0.185   -186.615    186.620      0.000
   215        21   (g)                -51   198     0   298   299   106   177     -1.887      0.745     -0.138      2.033      0.000
   216        21   (g)                -51   198     0   244   244   177   128      0.420     -0.008      0.939      1.029      0.000
   217        21   (g)                -52   197   197   242   243   128   169     -0.422     -0.437    -10.812     10.829      0.000
   218        21   (g)                -51    46     0   361   362   120   178      1.536      3.486     54.007     54.142      0.000
   219        21   (g)                -51    46     0   363   363   178   101     -0.424      0.744     33.518     33.529      0.000
   220        21   (g)                -53   485   485    40    40   110   101      0.000      0.000  -2118.240   2118.240      0.000
   221        21   (g)                -51   142     0   256   256   116   179      3.289      3.220      4.078      6.150      0.000
   222        21   (g)                -51   142     0   261   261   179   147      0.652     -0.423      1.695      1.865      0.000
   223        21   (g)                -52   144   144   258   258   147   119      0.365     -1.327      0.414      1.437      0.000
   224        21   (g)                -51   155     0   477   478   180   155     -2.022     -0.098    127.237    127.253      0.000
   225        21   (g)                -51   155     0   285   285   134   180      0.837     -0.032     18.401     18.420      0.000
   226        21   (g)                -52   156   156   283   284   137   134     -1.313     -2.810     12.901     13.269      0.000
   227        21   (g)                -51   126     0   355   356   107   181     -4.536     -0.403      5.377      7.046      0.000
   228        21   (g)                -51   126     0   357   357   181   127     -1.026      1.323      4.070      4.401      0.000
   229        21   (g)                -53   431   431   121   121   149   127      0.000     -0.000    541.165    541.165      0.000
   230        21   (g)                -51   124     0   325   325   183   146     -1.587     -1.509    -17.019     17.159      0.000
   231        21   (g)                -51   124     0   323   324   108   183      0.630     -0.211    -35.547     35.553      0.000
   232        21   (g)                -53   730   730   122   122   108   115      0.000      0.000   -476.261    476.261      0.000
   233        21   (g)                -51   166     0   257   257   184   160     -2.180      0.040    -56.824     56.866      0.000
   234        21   (g)                -51   166     0   262   262   118   184     -0.654      0.822    -89.219     89.225      0.000
   235        21   (g)                -53   255     0   141   141   118   151     -0.000      0.000   -218.607    218.607      0.000
   236        21   (g)                -42   667     0   149   149   143   153     -0.000     -0.000    156.441    156.441      0.000
   237         1   (d)                -41   668   668   241   150   144     0     -0.000     -0.000    -25.390     25.390      0.000
   238         4   (c)                -44   151   151   669   669   144     0      1.029     -2.825     34.452     34.615      1.500
   239        21   (g)                -44   152   152   438   439   143   145     -0.713      1.125      3.063      3.340      0.000
   240        -4   (cbar)             -44   153   153   671   671     0   153     -0.650      0.710    118.687    118.700      1.500
   241         1   (d)                -43   237     0   440   440   145     0      0.335      0.990    -25.151     25.175      0.330
   242        21   (g)                -51   217     0   372   372   185   169     -0.582      0.167    -10.167     10.185      0.000
   243        21   (g)                -51   217     0   370   371   128   185      0.230     -0.605     -0.492      0.813      0.000
   244        21   (g)                -52   216   216   375   375   177   128      0.351     -0.006      0.785      0.860      0.000
   245        21   (g)                -51   186     0   456   457   186   107     -0.023     -0.253      0.063      0.262      0.000
   246        21   (g)                -51   186     0   458   458   148   186      2.048      0.076     -6.259      6.586      0.000
   247        21   (g)                -52   185   185   291   291   165   148      1.105      0.294     -6.399      6.500      0.000
   248        21   (g)                -51   199     0   603   603   149   187     -0.405     -0.003    117.288    117.289      0.000
   249        21   (g)                -51   199     0   366   366   187   170      2.292     -0.447    350.126    350.134      0.000
   250        21   (g)                -52   200   200   364   365   170   133      0.040     -0.510     33.007     33.011      0.000
   251        21   (g)                -51   167     0   260   260   160   188      0.342     -1.798    -45.461     45.497      0.000
   252        21   (g)                -51   167     0   263   263   188   117     -0.970     -0.039    -24.060     24.080      0.000
   253        21   (g)                -53   254   254   168   168   116   117     -0.000      0.000      8.048      8.048      0.000
   254        21   (g)                -42   378   378   253   253   116   117     -0.000     -0.000      8.048      8.048      0.000
   255        21   (g)                -41   389   389   264   235   189   151      0.000      0.000   -256.176    256.176      0.000
   256        21   (g)                -44   221   221   376   377   116   179      3.285      3.218      4.063      6.137      0.000
   257        21   (g)                -44   233   233   286   287   184   160     -2.386     -0.085    -56.867     56.917      0.000
   258        21   (g)                -44   223   223   392   392   147   119      0.363     -1.328      0.414      1.438      0.000
   259        21   (g)                -44   145   145   393   393   119   151     -0.849     -0.499     -1.182      1.538      0.000
   260        21   (g)                -44   251   251   288   288   160   188      0.177     -1.898    -45.497     45.537      0.000
   261        21   (g)                -44   222   222   395   395   179   147      0.652     -0.423      1.693      1.863      0.000
   262        21   (g)                -44   234   234   311   312   118   184     -0.977      0.626    -89.293     89.301      0.000
   263        21   (g)                -44   252   252   308   309   188   117     -1.057     -0.092    -24.078     24.102      0.000
   264        21   (g)                -43   255     0   398   398   189   118      0.792      0.480    -37.380     37.392      0.000
   265         3   (s)                -51   191     0   277   277   167     0     -0.434      0.170     -1.017      1.225      0.500
   266        -3   (sbar)             -51   191     0   278   278     0   114      0.706      1.160     -5.508      5.694      0.500
   267        21   (g)                -52   192   192   274   274   114   113      1.672      2.834    -92.136     92.195      0.000
   268        21   (g)                -51   180     0   280   281   190   105      1.685     -0.945     -1.963      2.754      0.000
   269        21   (g)                -51   180     0   452   452   102   190     -0.317     -0.221      0.057      0.391      0.000
   270        21   (g)                -52    48    48   492   493   121   102      3.481      1.189     -5.918      6.968      0.000
   271        21   (g)                -41   633   633   279   169   191   112      0.000      0.000      3.664      3.664      0.000
   272        21   (g)                -42   776   776   170   170   161   113     -0.000      0.000   -178.854    178.854      0.000
   273        21   (g)                -44   171   171   345   345   111   122     -5.275     -3.349     -1.593      6.448      0.000
   274        21   (g)                -44   267   267   778   778   114   113      1.680      2.832    -92.091     92.150      0.000
   275        21   (g)                -44   190   190   343   344   122   167      2.470     -0.922     -5.601      6.191      0.000
   276        21   (g)                -44   174   174   631   632   161   112      1.597     -0.114    -69.865     69.883      0.000
   277         3   (s)                -44   265   265   781   781   167     0     -0.406      0.162     -0.952      1.160      0.500
   278        -3   (sbar)             -44   266   266   782   782     0   114      0.731      1.152     -5.548      5.735      0.500
   279        21   (g)                -43   271     0   349   350   191   111     -0.798      0.239      0.460      0.951      0.000
   280        21   (g)                -51   268     0   450   451   190   192      0.582      0.521     -1.027      1.291      0.000
   281        21   (g)                -51   268     0   387   387   192   105      1.084     -1.175     -0.797      1.786      0.000
   282        21   (g)                -52   179   179   385   386   105   163     -0.102      1.561      0.743      1.732      0.000
   283        21   (g)                -51   226     0   314   315   137   193     -0.210     -2.325     11.743     11.973      0.000
   284        21   (g)                -51   226     0   446   446   193   134     -0.969     -0.490      4.113      4.254      0.000
   285        21   (g)                -52   225   225   444   445   134   180      0.703     -0.027     15.446     15.462      0.000
   286        21   (g)                -51   257     0   313   313   184   195     -1.521     -0.751    -27.629     27.681      0.000
   287        21   (g)                -51   257     0   399   399   195   160     -0.819      0.171    -41.116     41.125      0.000
   288        21   (g)                -52   260   260   310   310   160   188      0.131     -1.402    -33.618     33.648      0.000
   289        21   (g)                -51   184     0   449   449   146   196     -0.023      0.994    -15.084     15.117      0.000
   290        21   (g)                -51   184     0   447   448   196   165     -0.455      0.062     -1.217      1.300      0.000
   291        21   (g)                -52   247   247   740   740   165   148      0.587      0.156     -3.398      3.452      0.000
   292        -2   (ubar)             -51   204     0   901   901     0   197      1.431     -0.240     -0.374      1.534      0.330
   293        21   (g)                -51   204     0   500   500   197   174     -0.246      0.405      0.190      0.511      0.000
   294        21   (g)                -52   205   205   498   499   174   173     -1.185     -0.165    -16.119     16.164      0.000
   295         1   (d)                -51   178     0   701   701   163     0      0.074      1.258      0.805      1.532      0.330
   296        -1   (dbar)             -51   178     0   488   488     0   162     -1.547     -0.770     -0.335      1.791      0.330
   297         2   (u)                -52   175   175   486   487   162     0     -3.817     21.269     10.821     24.169      0.330
   298        21   (g)                -51   215     0   482   482   198   177     -2.148      1.078      0.678      2.497      0.000
   299        21   (g)                -51   215     0   480   481   106   198      0.307     -0.320      0.103      0.456      0.000
   300        21   (g)                -52   201   201   645   645   133   106      1.351      0.375     26.788     26.825      0.000
   301        21   (g)                -41   859   859   307   209   199   141      0.000      0.000    288.768    288.768      0.000
   302        21   (g)                -42   860   860   210   210   176   156      0.000      0.000   -187.966    187.966      0.000
   303        21   (g)                -44   211   211   334   334   139   141     -1.649     -1.141    264.305    264.313      0.000
   304         4   (c)                -44   212   212   573   573   140     0      1.868      2.370     23.277     23.519      1.500
   305        -4   (cbar)             -44   213   213   863   863     0   156      1.021     -0.978     -0.352      2.091      1.500
   306        21   (g)                -44   214   214   332   333   176   139     -1.228      0.185   -186.367    186.371      0.000
   307        21   (g)                -43   301     0   571   572   199   140     -0.012     -0.436     -0.060      0.440      0.000
   308        -1   (dbar)             -51   263     0   397   397     0   117     -0.690     -0.329     -9.931      9.966      0.330
   309         1   (d)                -51   263     0   400   400   188     0     -0.267     -0.827    -39.659     39.670      0.330
   310        21   (g)                -52   288   288   394   394   160   188      0.032     -0.338     -8.106      8.114      0.000
   311        21   (g)                -51   262     0   382   383   118   200     -1.405     -0.291    -60.422     60.439      0.000
   312        21   (g)                -51   262     0   384   384   200   184     -0.036      0.689    -37.302     37.308      0.000
   313        21   (g)                -52   286   286   391   391   184   195     -1.057     -0.522    -19.199     19.235      0.000
   314        21   (g)                -51   283     0   320   321   201   193     -0.032     -2.394      9.529      9.825      0.000
   315        21   (g)                -51   283     0   322   322   137   201     -0.336      0.335      2.591      2.634      0.000
   316        -2   (ubar)             -52    95    95   850   850     0   137     -1.165      1.945      2.854      3.659      0.330
   317        21   (g)                -51   182     0   568   569   164   202     -1.178     -1.542     -5.911      6.221      0.000
   318        21   (g)                -51   182     0   329   330   202   138     -1.692     -6.960    -30.849     31.670      0.000
   319         5   (b)                -52   183   183   331   331   138     0    -18.907    -47.717   -155.253    163.587      4.800
   320        21   (g)                -51   314     0   515   515   203   193      0.104     -2.243      8.199      8.501      0.000
   321        21   (g)                -51   314     0   513   514   201   203     -0.338      0.049      2.882      2.902      0.000
   322        21   (g)                -52   315   315   854   854   137   201     -0.135      0.135      1.040      1.057      0.000
   323        21   (g)                -51   231     0   654   654   108   204      0.497      0.077    -33.071     33.075      0.000
   324        21   (g)                -51   231     0   652   653   204   183     -0.299     -0.699     -7.108      7.149      0.000
   325        21   (g)                -52   230   230   612   612   183   146     -1.155     -1.098    -12.387     12.489      0.000
   326        21   (g)                -51   188     0   352   353   205   166     -0.385      0.021    -22.710     22.714      0.000
   327        21   (g)                -51   188     0   335   336   103   205      0.364      1.821   -269.194    269.201      0.000
   328        21   (g)                -52   189   189   337   337   110   103      4.644      0.583  -1526.948   1526.956      0.000
   329        21   (g)                -51   318     0   570   570   202   206     -1.639     -7.971    -31.939     32.960      0.000
   330        21   (g)                -51   318     0   711   711   206   138     -1.002     -1.256     -5.899      6.113      0.000
   331         5   (b)                -52   319   319   691   691   138     0    -17.958    -45.450   -148.264    156.184      4.800
   332        21   (g)                -51   306     0   420   421   176   207     -1.143      0.888   -176.076    176.082      0.000
   333        21   (g)                -51   306     0   348   348   207   139     -0.086     -0.704    -10.278     10.302      0.000
   334        21   (g)                -52   303   303   346   347   139   141     -1.649     -1.141    264.292    264.299      0.000
   335        -2   (ubar)             -51   327     0   354   354     0   205      1.149      1.408   -371.854    371.859      0.330
   336         2   (u)                -51   327     0   407   407   103     0     -0.244      0.481    -75.246     75.249      0.330
   337        21   (g)                -52   328   328   405   406   110   103      4.103      0.515  -1349.042   1349.049      0.000
   338        21   (g)                -41   887   887   342   162   208   159     -0.000      0.000     98.895     98.895      0.000
   339         2   (u)                -42   888   888   163   163   157     0      0.000     -0.000     -2.851      2.851      0.000
   340        21   (g)                -44   164   164   889   889   157   159     -1.574      1.687      4.673      5.212      0.000
   341         2   (u)                -44   165   165   443   443   158     0      1.298     -1.050     -2.300      2.861      0.330
   342        21   (g)                -43   338     0   441   442   208   158      0.276     -0.637     93.671     93.674      0.000
   343        21   (g)                -51   275     0   516   517   209   167      0.542      0.019     -2.692      2.746      0.000
   344        21   (g)                -51   275     0   474   475   122   209      1.799     -1.023     -2.948      3.602      0.000
   345        21   (g)                -52   273   273   351   351   111   122     -5.146     -3.267     -1.554      6.290      0.000
   346        21   (g)                -51   334     0   861   861   210   141     -0.418     -0.160    147.306    147.307      0.000
   347        21   (g)                -51   334     0   379   380   139   210     -1.231     -0.981    116.984    116.995      0.000
   348        21   (g)                -52   333   333   381   381   207   139     -0.086     -0.704    -10.276     10.300      0.000
   349        21   (g)                -51   279     0   432   433   191   211     -1.289      0.286     -0.232      1.340      0.000
   350        21   (g)                -51   279     0   434   434   211   111     -0.980     -0.981      0.247      1.408      0.000
   351        21   (g)                -52   345   345   476   476   111   122     -3.676     -2.333     -1.110      4.493      0.000
   352        21   (g)                -51   326     0   545   545   212   166     -0.051      1.052   -116.585    116.590      0.000
   353        21   (g)                -51   326     0   543   544   205   212      0.306     -0.274   -105.029    105.030      0.000
   354        -2   (ubar)             -52   335   335   710   710     0   205      0.510      0.651   -172.950    172.952      0.330
   355        21   (g)                -51   227     0   539   539   107   214     -2.488      0.375      3.973      4.703      0.000
   356        21   (g)                -51   227     0   752   752   214   181     -2.233     -0.538      2.141      3.140      0.000
   357        21   (g)                -52   228   228   429   430   181   127     -0.840      1.084      3.333      3.604      0.000
   358        21   (g)                -51   137     0   822   822   215   123      0.003      1.069      2.804      3.001      0.000
   359        21   (g)                -51   137     0   828   828   126   215     -1.804      1.967      4.990      5.659      0.000
   360        21   (g)                -53   821   821   136   136   126   125     -0.000     -0.000     -1.094      1.094      0.000
   361        21   (g)                -51   218     0   519   520   120   216      1.627      3.057     49.127     49.249      0.000
   362        21   (g)                -51   218     0   714   714   216   178     -0.233      0.679     16.138     16.154      0.000
   363        21   (g)                -52   219   219   655   656   178   101     -0.281      0.494     22.261     22.268      0.000
   364        21   (g)                -51   250     0   643   644   218   133     -0.073     -0.350     91.909     91.909      0.000
   365        21   (g)                -51   250     0   666   666   170   218      1.470     -0.425    148.480    148.488      0.000
   366        21   (g)                -52   249   249   601   602   187   170      0.934     -0.182    142.744    142.747      0.000
   367        21   (g)                -51   206     0   423   424   220   175      1.872     -2.197      9.079      9.527      0.000
   368        21   (g)                -51   206     0   829   829   168   220      0.050      0.160      0.169      0.238      0.000
   369        21   (g)                -52   194   194   580   581   124   168      0.748     -0.185      0.371      0.855      0.000
   370        21   (g)                -51   243     0   373   374   128   221     -0.535     -0.053     -1.461      1.557      0.000
   371        21   (g)                -51   243     0   408   409   221   185      0.633     -0.515     -1.335      1.564      0.000
   372        21   (g)                -52   242   242   410   410   185   169     -0.450      0.129     -7.863      7.877      0.000
   373        21   (g)                -51   370     0   411   412   222   221     -0.609     -0.307     -0.247      0.726      0.000
   374        21   (g)                -51   370     0   426   427   128   222      0.165      0.253     -1.010      1.054      0.000
   375        21   (g)                -52   244   244   428   428   177   128      0.260     -0.005      0.582      0.637      0.000
   376        21   (g)                -51   256     0   390   390   223   179      0.939      0.181      0.859      1.286      0.000
   377        21   (g)                -51   256     0   402   402   116   223      2.346      3.038      3.649      5.296      0.000
   378        21   (g)                -53   388     0   254   254   116   117     -0.000     -0.000      8.493      8.493      0.000
   379        21   (g)                -51   347     0   437   437   224   210     -0.855     -1.264     82.462     82.476      0.000
   380        21   (g)                -51   347     0   435   436   139   224     -0.376      0.283     34.518     34.522      0.000
   381        21   (g)                -52   348   348   422   422   207   139     -0.086     -0.704    -10.273     10.297      0.000
   382        21   (g)                -51   311     0   396   396   118   225     -0.817      0.005    -68.872     68.876      0.000
   383        21   (g)                -51   311     0   403   403   225   200     -0.608      0.081    -11.996     12.011      0.000
   384        21   (g)                -52   312   312   401   401   200   184     -0.016      0.311    -16.856     16.859      0.000
   385        21   (g)                -51   282     0   604   605   226   163      0.511      1.057      0.636      1.335      0.000
   386        21   (g)                -51   282     0   606   606   105   226     -0.485      0.365      0.013      0.607      0.000
   387        21   (g)                -52   281   281   707   707   192   105      0.956     -1.036     -0.703      1.575      0.000
   388        21   (g)                -41   546     0   404   378   116   227      0.000      0.000      8.892      8.892      0.000
   389        21   (g)                -42   416   416   255   255   189   151      0.000      0.000   -256.176    256.176      0.000
   390        21   (g)                -44   376   376   548   548   223   179      1.007      0.167      0.831      1.316      0.000
   391        21   (g)                -44   313   313   549   549   184   195     -1.056     -0.522    -19.154     19.190      0.000
   392        21   (g)                -44   258   258   527   527   147   119      0.421     -1.340      0.394      1.459      0.000
   393        21   (g)                -44   259   259   551   551   119   151     -0.838     -0.501     -1.157      1.514      0.000
   394        21   (g)                -44   310   310   542   542   160   188      0.032     -0.338     -8.103      8.110      0.000
   395        21   (g)                -44   261   261   525   526   179   147      0.764     -0.446      1.669      1.889      0.000
   396        21   (g)                -44   382   382   461   461   118   225     -0.817      0.005    -68.792     68.797      0.000
   397        -1   (dbar)             -44   308   308   555   555     0   117     -0.689     -0.329     -9.904      9.939      0.330
   398        21   (g)                -44   264   264   414   415   189   118      0.792      0.480    -37.373     37.385      0.000
   399        21   (g)                -44   287   287   540   541   195   160     -0.818      0.171    -41.058     41.066      0.000
   400         1   (d)                -44   309   309   558   558   188     0     -0.267     -0.827    -39.625     39.636      0.330
   401        21   (g)                -44   384   384   559   559   200   184     -0.016      0.311    -16.841     16.844      0.000
   402        21   (g)                -44   377   377   560   560   116   223      2.628      2.982      3.593      5.358      0.000
   403        21   (g)                -44   383   383   459   460   225   200     -0.608      0.081    -11.967     11.982      0.000
   404        21   (g)                -43   388     0   562   562   117   227     -0.536      0.105      0.202      0.582      0.000
   405        21   (g)                -51   337     0   483   484   110   228      3.809      0.228  -1149.975   1149.981      0.000
   406        21   (g)                -51   337     0   716   716   228   103      0.231      0.373   -206.630    206.630      0.000
   407         2   (u)                -52   336   336   712   712   103     0     -0.180      0.395    -67.683     67.686      0.330
   408        21   (g)                -51   371     0   413   413   221   229      0.674     -0.763     -2.771      2.952      0.000
   409        21   (g)                -51   371     0   756   756   229   185     -0.186      0.290     -1.089      1.142      0.000
   410        21   (g)                -52   372   372   489   490   185   169     -0.306      0.088     -5.337      5.346      0.000
   411        21   (g)                -51   373     0   746   746   222   230     -0.180      0.270     -0.702      0.773      0.000
   412        21   (g)                -51   373     0   757   757   230   221     -0.178     -0.862     -0.579      1.053      0.000
   413        21   (g)                -52   408   408   754   754   221   229      0.423     -0.478     -1.738      1.851      0.000
   414        21   (g)                -51   398     0   556   556   231   118      0.603      0.849    -58.820     58.829      0.000
   415        21   (g)                -51   398     0   563   563   189   231      0.189     -0.369    -38.271     38.273      0.000
   416        21   (g)                -53   547   547   389   389   189   151      0.000      0.000   -315.893    315.893      0.000
   417        21   (g)                -51   125     0   524   524   232   115      3.050     -0.903   -234.680    234.702      0.000
   418        21   (g)                -51   125     0   522   523   109   232      1.015     -0.814   -141.086    141.092      0.000
   419        21   (g)                -52   196   196   491   491   169   109     -1.116      1.755     -8.432      8.684      0.000
   420        21   (g)                -51   332     0   864   864   176   233     -0.475      0.441   -140.309    140.310      0.000
   421        21   (g)                -51   332     0   869   869   233   207     -0.679      0.350    -37.195     37.203      0.000
   422        21   (g)                -52   381   381   471   472   207   139     -0.074     -0.606     -8.845      8.866      0.000
   423        21   (g)                -51   367     0   646   647   220   234      1.692     -1.921      9.029      9.385      0.000
   424        21   (g)                -51   367     0   648   648   234   175      0.024     -0.314      0.272      0.416      0.000
   425        21   (g)                -52   207   207   592   593   175   152     -0.484     -0.118      0.688      0.850      0.000
   426        21   (g)                -51   374     0   755   755   235   222      0.410      0.484     -0.864      1.071      0.000
   427        21   (g)                -51   374     0   759   759   128   235     -0.117     -0.233      0.139      0.296      0.000
   428        21   (g)                -52   375   375   743   743   177   128      0.132     -0.002      0.296      0.324      0.000
   429        21   (g)                -51   357     0   744   744   181   236     -0.608     -0.047      1.958      2.051      0.000
   430        21   (g)                -51   357     0   760   760   236   127     -0.233      1.131      3.649      3.827      0.000
   431        21   (g)                -53   729   729   229   229   149   127      0.000     -0.000    543.438    543.438      0.000
   432        21   (g)                -51   349     0   589   590   191   237     -0.219      0.247      0.229      0.402      0.000
   433        21   (g)                -51   349     0   591   591   237   211     -1.618     -0.510     -0.322      1.727      0.000
   434        21   (g)                -52   350   350   785   785   211   111     -0.431     -0.432      0.109      0.620      0.000
   435        21   (g)                -51   380     0   473   473   139   238     -0.509      0.040     14.486     14.495      0.000
   436        21   (g)                -51   380     0   870   870   238   224     -0.450     -0.620     76.343     76.347      0.000
   437        21   (g)                -52   379   379   867   867   224   210     -0.271     -0.401     26.152     26.156      0.000
   438        21   (g)                -51   239     0   467   467   143   239     -0.328      1.393      2.847      3.187      0.000
   439        21   (g)                -51   239     0   465   466   239   145     -0.381     -0.256     -0.100      0.469      0.000
   440         1   (d)                -52   241   241   504   505   145     0      0.331      0.977    -24.835     24.859      0.330
   441        21   (g)                -51   342     0   501   502   208   240     -0.084     -0.963     87.601     87.606      0.000
   442        21   (g)                -51   342     0   470   470   240   158      0.366      0.322      6.060      6.080      0.000
   443         2   (u)                -52   341   341   468   469   158     0      1.292     -1.045     -2.290      2.849      0.330
   444        21   (g)                -51   285     0   479   479   241   180      0.838      0.069     10.509     10.543      0.000
   445        21   (g)                -51   285     0   856   856   134   241     -0.353     -0.207      5.865      5.879      0.000
   446        21   (g)                -52   284   284   853   853   193   134     -0.750     -0.379      3.184      3.293      0.000
   447        21   (g)                -51   290     0   749   749   242   165      0.283      0.070     -0.961      1.004      0.000
   448        21   (g)                -51   290     0   761   761   196   242     -0.748      0.416     -6.694      6.748      0.000
   449        21   (g)                -52   289   289   610   611   146   196     -0.013      0.570     -8.646      8.665      0.000
   450        21   (g)                -51   280     0   694   694   243   192      0.628      0.573     -0.629      1.058      0.000
   451        21   (g)                -51   280     0   717   717   190   243     -0.242     -0.188     -0.363      0.475      0.000
   452        21   (g)                -52   269   269   706   706   102   190     -0.121     -0.084      0.022      0.149      0.000
   453         3   (s)                -51   102     0   497   497   132     0      0.389      3.690     75.509     75.602      0.500
   454        -3   (sbar)             -51   102     0   684   684     0   131     -0.336      0.808     10.720     10.767      0.500
   455        21   (g)                -53   680     0   101   101   142   131     -0.000      0.000     -3.020      3.020      0.000
   456        21   (g)                -51   245     0   537   538   245   107      0.229      0.301     -1.318      1.372      0.000
   457        21   (g)                -51   245     0   762   762   186   245      0.315     -0.534     -0.349      0.712      0.000
   458        21   (g)                -52   246   246   747   747   148   186      1.482      0.055     -4.528      4.765      0.000
   459        21   (g)                -51   403     0   561   561   246   200     -1.194     -0.191    -59.993     60.005      0.000
   460        21   (g)                -51   403     0   564   564   225   246     -0.048      0.276     -5.384      5.391      0.000
   461        21   (g)                -52   396   396   554   554   118   225     -0.183      0.001    -15.382     15.383      0.000
   462        21   (g)                -51   104     0   533   533   142   248      0.417     -1.323     -2.119      2.533      0.000
   463        21   (g)                -51   104     0   531   532   248   129     -0.295     -0.801     -0.298      0.905      0.000
   464        21   (g)                -53   679   679   100   100   130   129      0.000     -0.000    147.779    147.779      0.000
   465        21   (g)                -51   439     0   506   506   249   145     -0.146      0.312     -0.170      0.384      0.000
   466        21   (g)                -51   439     0   642   642   239   249     -0.313     -0.236      0.749      0.845      0.000
   467        21   (g)                -52   438   438   640   641   143   239     -0.250      1.061      2.168      2.427      0.000
   468         2   (u)                -51   443     0   890   890   250     0      0.959     -0.301     -0.733      1.287      0.330
   469        21   (g)                -51   443     0   588   588   158   250      0.339     -0.739     -1.453      1.665      0.000
   470        21   (g)                -52   442   442   503   503   240   158      0.359      0.316      5.957      5.976      0.000
   471        21   (g)                -51   422     0   866   866   207   251     -0.192      0.051     -5.974      5.978      0.000
   472        21   (g)                -51   422     0   510   511   251   139      0.117     -0.657     -2.841      2.918      0.000
   473        21   (g)                -52   435   435   512   512   139   238     -0.508      0.039     14.456     14.465      0.000
   474        21   (g)                -51   344     0   518   518   252   209      1.492     -0.915     -1.706      2.445      0.000
   475        21   (g)                -51   344     0   507   508   122   252      0.186     -0.184     -1.278      1.305      0.000
   476        21   (g)                -52   351   351   509   509   111   122     -3.555     -2.257     -1.074      4.346      0.000
   477        21   (g)                -51   224     0   851   851   253   155     -1.720      0.202    120.887    120.899      0.000
   478        21   (g)                -51   224     0   857   857   180   253     -0.196     -0.291      7.691      7.699      0.000
   479        21   (g)                -52   444   444   852   852   241   180      0.731      0.060      9.168      9.198      0.000
   480        21   (g)                -51   299     0   750   750   106   254      0.296      0.237     -0.042      0.382      0.000
   481        21   (g)                -51   299     0   627   627   254   198     -0.481     -0.310      0.300      0.646      0.000
   482        21   (g)                -52   298   298   625   626   198   177     -1.656      0.831      0.522      1.925      0.000
   483        21   (g)                -51   405     0   695   695   255   228      2.197      0.600   -674.779    674.783      0.000
   484        21   (g)                -51   405     0   718   718   110   255      1.612     -0.372   -550.203    550.205      0.000
   485        21   (g)                -53   657   657   220   220   110   101      0.000      0.000  -2193.247   2193.247      0.000
   486         2   (u)                -51   297     0   651   651   256     0     -3.522     17.039      8.683     19.448      0.330
   487        21   (g)                -51   297     0   534   535   162   256     -0.312      4.221      2.134      4.740      0.000
   488        -1   (dbar)             -52   296   296   536   536     0   162     -1.530     -0.761     -0.332      1.771      0.330
   489        21   (g)                -51   410     0   741   741   185   257     -0.207      0.173     -0.433      0.511      0.000
   490        21   (g)                -51   410     0   764   764   257   169     -0.646      0.776     -9.042      9.098      0.000
   491        21   (g)                -52   419   419   735   735   169   109     -0.568      0.893     -4.293      4.422      0.000
   492        -1   (dbar)             -51   270     0   697   697     0   102      1.205      1.422     -1.965      2.728      0.330
   493         1   (d)                -51   270     0   720   720   121     0      3.119      0.922     -5.089      6.049      0.330
   494        -5   (bbar)             -52    47    47   692   692     0   121     18.405     22.489    -25.739     39.116      4.800
   495         1   (d)                -51   103     0   682   682   130     0      0.199     -0.887     30.666     30.681      0.330
   496        -1   (dbar)             -51   103     0   686   686     0   132     -0.364     -1.389     32.244     32.278      0.330
   497         3   (s)                -52   453   453   681   681   132     0      0.379      3.592     73.547     73.637      0.500
   498        21   (g)                -51   294     0   902   902   258   173     -0.771     -0.480    -13.661     13.691      0.000
   499        21   (g)                -51   294     0   576   576   174   258     -0.431      0.342     -2.445      2.506      0.000
   500        21   (g)                -52   293   293   574   575   197   174     -0.230      0.378      0.177      0.476      0.000
   501        21   (g)                -51   441     0   891   891   208   259     -0.169     -0.678     27.470     27.479      0.000
   502        21   (g)                -51   441     0   624   624   259   240      0.163     -0.217     61.418     61.418      0.000
   503        21   (g)                -52   470   470   586   587   240   158      0.282      0.248      4.670      4.685      0.000
   504         1   (d)                -51   440     0   672   672   260     0      0.564      0.471    -18.578     18.595      0.330
   505        21   (g)                -51   440     0   637   638   145   260     -0.248      0.539     -6.275      6.303      0.000
   506        21   (g)                -52   465   465   639   639   249   145     -0.131      0.280     -0.153      0.345      0.000
   507        21   (g)                -51   475     0   615   615   261   252     -0.209      0.206     -0.924      0.970      0.000
   508        21   (g)                -51   475     0   788   788   122   261      0.037     -0.618     -0.462      0.773      0.000
   509        21   (g)                -52   476   476   777   777   111   122     -3.197     -2.029     -0.965      3.908      0.000
   510        21   (g)                -51   472     0   630   630   251   262      0.493     -0.533     -2.691      2.787      0.000
   511        21   (g)                -51   472     0   628   629   262   139     -0.387     -0.123      0.154      0.434      0.000
   512        21   (g)                -52   473   473   868   868   139   238     -0.497      0.039     14.153     14.161      0.000
   513        21   (g)                -51   321     0   855   855   201   263      0.108     -0.608      1.548      1.667      0.000
   514        21   (g)                -51   321     0   858   858   263   203     -0.403     -0.255      4.671      4.696      0.000
   515        21   (g)                -52   320   320   847   847   203   193      0.062     -1.330      4.861      5.040      0.000
   516        21   (g)                -51   343     0   779   779   264   167      1.143     -0.046     -2.584      2.826      0.000
   517        21   (g)                -51   343     0   789   789   209   264     -0.121     -0.228     -0.656      0.705      0.000
   518        21   (g)                -52   474   474   613   614   252   209      1.013     -0.621     -1.159      1.660      0.000
   519        21   (g)                -51   361     0   696   696   265   216      0.619      1.352     16.194     16.262      0.000
   520        21   (g)                -51   361     0   721   721   120   265      1.008      1.705     36.447     36.500      0.000
   521        21   (g)                -53   689   689   111   111   120   104     -0.000     -0.000    130.921    130.921      0.000
   522        21   (g)                -51   418     0   758   758   109   266      2.066     -1.185   -237.258    237.270      0.000
   523        21   (g)                -51   418     0   765   765   266   232      1.057     -0.253    -66.053     66.062      0.000
   524        21   (g)                -52   417   417   733   733   232   115      0.942     -0.279    -72.456     72.462      0.000
   525        21   (g)                -51   395     0   553   553   179   267      0.136      0.183      0.174      0.286      0.000
   526        21   (g)                -51   395     0   565   565   267   147      0.779     -1.105      1.636      2.122      0.000
   527        21   (g)                -52   392   392   550   550   147   119      0.271     -0.863      0.254      0.939      0.000
   528        21   (g)                -51   181     0   698   698   269   164     -3.521     -4.986    -20.693     21.575      0.000
   529        21   (g)                -51   181     0   722   722   150   269     -0.537     -0.089     -2.170      2.238      0.000
   530        21   (g)                -52   187   187   700   700   166   150      0.813     -0.382    -24.941     24.957      0.000
   531        21   (g)                -51   463     0   685   685   270   129     -0.098     -1.049     -0.391      1.124      0.000
   532        21   (g)                -51   463     0   687   687   248   270      0.049     -0.532     -1.156      1.273      0.000
   533        21   (g)                -52   462   462   683   683   142   248      0.171     -0.543     -0.870      1.040      0.000
   534        21   (g)                -51   487     0   649   650   271   256      0.259      1.907      0.791      2.081      0.000
   535        21   (g)                -51   487     0   723   723   162   271     -0.623      2.286      1.331      2.718      0.000
   536        -1   (dbar)             -52   488   488   708   708     0   162     -1.478     -0.733     -0.320      1.712      0.330
   537        21   (g)                -51   456     0   738   738   245   272     -0.192      0.524     -0.936      1.090      0.000
   538        21   (g)                -51   456     0   579   579   272   107      0.329     -0.208     -0.236      0.455      0.000
   539        21   (g)                -52   355   355   577   578   107   214     -2.397      0.361      3.827      4.530      0.000
   540        21   (g)                -51   399     0   557   557   195   274     -0.987     -0.137    -41.141     41.153      0.000
   541        21   (g)                -51   399     0   566   566   274   160      0.196      0.009     -7.062      7.064      0.000
   542        21   (g)                -52   394   394   552   552   160   188      0.004     -0.040     -0.958      0.959      0.000
   543        21   (g)                -51   353     0   713   713   205   275      0.236     -0.222   -122.048    122.049      0.000
   544        21   (g)                -51   353     0   724   724   275   212      0.044      0.461    -39.876     39.878      0.000
   545        21   (g)                -52   352   352   704   704   212   166     -0.026      0.539    -59.691     59.693      0.000
   546        21   (g)                -41   794   794   567   388   276   227     -0.000     -0.000      9.668      9.668      0.000
   547        21   (g)                -42   660   660   416   416   189   151      0.000      0.000   -315.893    315.893      0.000
   548        21   (g)                -44   390   390   619   620   223   179      0.974      0.126      0.849      1.298      0.000
   549        21   (g)                -44   391   391   797   797   184   195     -1.056     -0.523    -19.176     19.212      0.000
   550        21   (g)                -44   527   527   598   599   147   119      0.253     -0.886      0.242      0.952      0.000
   551        21   (g)                -44   393   393   600   600   119   151     -0.843     -0.508     -1.179      1.536      0.000
   552        21   (g)                -44   542   542   800   800   160   188      0.004     -0.040     -0.958      0.959      0.000
   553        21   (g)                -44   525   525   801   801   179   267      0.129      0.174      0.179      0.281      0.000
   554        21   (g)                -44   461   461   802   802   118   225     -0.183      0.001    -15.381     15.382      0.000
   555        -1   (dbar)             -44   397   397   803   803     0   117     -0.690     -0.330     -9.919      9.954      0.330
   556        21   (g)                -44   414   414   609   609   231   118      0.603      0.849    -58.782     58.791      0.000
   557        21   (g)                -44   540   540   805   805   195   274     -0.987     -0.137    -41.150     41.163      0.000
   558         1   (d)                -44   400   400   806   806   188     0     -0.267     -0.827    -39.636     39.647      0.330
   559        21   (g)                -44   401   401   807   807   200   184     -0.016      0.311    -16.831     16.834      0.000
   560        21   (g)                -44   402   402   621   621   116   223      2.490      2.811      3.689      5.264      0.000
   561        21   (g)                -44   459   459   809   809   246   200     -1.194     -0.191    -60.003     60.015      0.000
   562        21   (g)                -44   404   404   810   810   117   227     -0.548      0.090      0.195      0.589      0.000
   563        21   (g)                -44   415   415   607   608   189   231      0.189     -0.369    -38.267     38.269      0.000
   564        21   (g)                -44   460   460   812   812   225   246     -0.048      0.276     -5.378      5.385      0.000
   565        21   (g)                -44   526   526   813   813   267   147      0.720     -1.177      1.626      2.133      0.000
   566        21   (g)                -44   541   541   814   814   274   160      0.196      0.009     -7.057      7.060      0.000
   567        21   (g)                -43   546     0   815   815   276   116      0.276      0.339      0.713      0.836      0.000
   568        21   (g)                -51   317     0   703   703   164   277     -0.964     -1.987     -9.285      9.544      0.000
   569        21   (g)                -51   317     0   725   725   277   202     -0.547     -1.176     -3.121      3.380      0.000
   570        21   (g)                -52   329   329   709   709   202   206     -1.305     -6.350    -25.444     26.257      0.000
   571        21   (g)                -51   307     0   865   865   199   278     -0.387     -0.386      0.346      0.646      0.000
   572        21   (g)                -51   307     0   873   873   278   140      0.437      0.031      0.363      0.569      0.000
   573         4   (c)                -52   304   304   862   862   140     0      1.806      2.289     22.507     22.744      1.500
   574        21   (g)                -51   500     0   903   903   197   279      0.246      0.220      0.034      0.332      0.000
   575        21   (g)                -51   500     0   905   905   279   174     -0.595      0.252     -0.532      0.836      0.000
   576        21   (g)                -52   499   499   904   904   174   258     -0.312      0.248     -1.770      1.814      0.000
   577        21   (g)                -51   539     0   734   734   281   214     -1.663     -0.063      2.036      2.630      0.000
   578        21   (g)                -51   539     0   595   596   107   281     -0.702      0.403      1.768      1.944      0.000
   579        21   (g)                -52   538   538   597   597   272   107      0.297     -0.188     -0.213      0.411      0.000
   580        21   (g)                -51   369     0   826   826   284   168      0.610     -0.564      0.765      1.129      0.000
   581        21   (g)                -51   369     0   585   585   124   284      0.136      0.376      0.609      0.729      0.000
   582        -1   (dbar)             -52   195   195   583   584     0   124     -1.122     -1.468    709.028    709.031      0.330
   583        -1   (dbar)             -51   582     0   824   824     0   285     -1.370     -1.577    689.798    689.801      0.330
   584        21   (g)                -51   582     0   832   832   285   124      0.250      0.118     19.244     19.246      0.000
   585        21   (g)                -52   581   581   831   831   124   284      0.133      0.368      0.595      0.712      0.000
   586        21   (g)                -51   503     0   618   618   240   288      0.572      0.015      4.212      4.251      0.000
   587        21   (g)                -51   503     0   616   617   288   158     -0.274      0.197      0.387      0.514      0.000
   588        21   (g)                -52   469   469   661   662   158   250      0.323     -0.704     -1.383      1.585      0.000
   589        21   (g)                -51   432     0   783   783   191   289     -0.571      0.010     -0.411      0.703      0.000
   590        21   (g)                -51   432     0   790   790   289   237     -0.721     -0.101      0.426      0.843      0.000
   591        21   (g)                -52   433   433   786   786   237   211     -0.545     -0.172     -0.109      0.582      0.000
   592        21   (g)                -51   425     0   827   827   175   290     -0.432     -0.115      2.019      2.068      0.000
   593        21   (g)                -51   425     0   833   833   290   152      0.135      0.167      0.105      0.239      0.000
   594        21   (g)                -52   208   208   823   823   152   125      0.707      0.642      5.422      5.506      0.000
   595        21   (g)                -51   578     0   767   767   292   281     -0.163     -0.017      1.314      1.324      0.000
   596        21   (g)                -51   578     0   768   768   107   292     -0.466      0.375      0.402      0.721      0.000
   597        21   (g)                -52   579   579   766   766   272   107      0.224     -0.142     -0.161      0.311      0.000
   598        21   (g)                -51   550     0   798   798   147   293      0.028     -1.044     -0.263      1.077      0.000
   599        21   (g)                -51   550     0   816   816   293   119      0.028      0.039      0.229      0.234      0.000
   600        21   (g)                -52   551   551   658   659   119   151     -0.646     -0.389     -0.904      1.177      0.000
   601        21   (g)                -51   366     0   748   748   294   170      0.516     -0.329     59.089     59.092      0.000
   602        21   (g)                -51   366     0   769   769   187   294      0.245      0.145    133.830    133.830      0.000
   603        21   (g)                -52   248   248   739   739   149   187     -0.232     -0.002     67.113     67.114      0.000
   604        21   (g)                -51   385     0   702   702   296   163      0.042      0.824      0.804      1.152      0.000
   605        21   (g)                -51   385     0   726   726   226   296      0.214      0.425     -0.161      0.502      0.000
   606        21   (g)                -52   386   386   715   715   105   226     -0.230      0.173      0.006      0.287      0.000
   607        21   (g)                -51   563     0   811   811   189   298      0.574      0.389    -47.545     47.550      0.000
   608        21   (g)                -51   563     0   817   817   298   231     -0.062     -0.302    -22.254     22.256      0.000
   609        21   (g)                -52   556   556   804   804   231   118      0.280      0.394    -27.249     27.254      0.000
   610        21   (g)                -51   449     0   737   737   299   196     -0.195      0.271     -1.410      1.449      0.000
   611        21   (g)                -51   449     0   770   770   146   299     -0.051      0.077     -9.736      9.736      0.000
   612        21   (g)                -52   325   325   732   732   183   146     -0.922     -0.877     -9.887      9.968      0.000
   613        21   (g)                -51   518     0   784   784   301   209      0.437     -0.690     -1.119      1.385      0.000
   614        21   (g)                -51   518     0   791   791   252   301      0.495      0.149     -0.402      0.655      0.000
   615        21   (g)                -52   507   507   787   787   261   252     -0.127      0.126     -0.563      0.590      0.000
   616        21   (g)                -51   587     0   663   663   303   158     -0.406      0.016      1.143      1.213      0.000
   617        21   (g)                -51   587     0   896   896   288   303      0.420      0.189      1.359      1.435      0.000
   618        21   (g)                -52   586   586   622   623   240   288      0.285      0.008      2.097      2.116      0.000
   619        21   (g)                -51   548     0   796   796   304   179      1.223      0.758      0.852      1.672      0.000
   620        21   (g)                -51   548     0   818   818   223   304      0.664      0.399      1.350      1.557      0.000
   621        21   (g)                -52   560   560   808   808   116   223      1.577      1.780      2.336      3.334      0.000
   622        21   (g)                -51   618     0   892   892   305   288      0.305     -0.143     23.619     23.621      0.000
   623        21   (g)                -51   618     0   897   897   240   305      0.038      0.074      0.195      0.212      0.000
   624        21   (g)                -52   502   502   894   894   259   240      0.105     -0.140     39.701     39.702      0.000
   625        21   (g)                -51   482     0   731   731   307   177     -0.751      0.485      0.658      1.111      0.000
   626        21   (g)                -51   482     0   771   771   198   307     -1.198      0.156      0.048      1.209      0.000
   627        21   (g)                -52   481   481   763   763   254   198     -0.187     -0.121      0.117      0.252      0.000
   628        21   (g)                -51   511     0   872   872   308   139     -0.053     -0.027      0.272      0.278      0.000
   629        21   (g)                -51   511     0   874   874   262   308     -0.216     -0.224     -0.764      0.825      0.000
   630        21   (g)                -52   510   510   871   871   251   262      0.375     -0.405     -2.045      2.119      0.000
   631        21   (g)                -51   276     0   780   780   161   309      0.612      0.266    -37.473     37.479      0.000
   632        21   (g)                -51   276     0   634   635   309   112      0.986     -0.379    -32.389     32.406      0.000
   633        21   (g)                -53   636   636   271   271   191   112      0.000     -0.000      3.666      3.666      0.000
   634        21   (g)                -51   632     0   792   792   309   310      1.009     -0.300    -19.940     19.967      0.000
   635        21   (g)                -51   632     0   793   793   310   112     -0.023     -0.079    -12.444     12.444      0.000
   636        21   (g)                -53   775   775   633   633   191   112     -0.000      0.000      3.672      3.672      0.000
   637        21   (g)                -51   505     0   675   675   311   260     -0.578      0.405     -4.502      4.557      0.000
   638        21   (g)                -51   505     0   676   676   145   311      0.287      0.226     -1.823      1.859      0.000
   639        21   (g)                -52   506   506   673   673   249   145     -0.088      0.188     -0.103      0.232      0.000
   640        21   (g)                -51   467     0   670   670   143   312     -0.558      0.898      1.698      2.000      0.000
   641        21   (g)                -51   467     0   677   677   312   239      0.132      0.031      0.890      0.900      0.000
   642        21   (g)                -52   466   466   674   674   239   249     -0.138     -0.104      0.329      0.371      0.000
   643        21   (g)                -51   364     0   664   665   218   313     -0.218     -0.040     79.482     79.483      0.000
   644        21   (g)                -51   364     0   772   772   313   133      0.335     -0.258     16.176     16.182      0.000
   645        21   (g)                -52   300   300   736   736   133   106      1.162      0.323     23.038     23.070      0.000
   646        21   (g)                -51   423     0   825   825   220   314      1.656     -2.082      8.278      8.695      0.000
   647        21   (g)                -51   423     0   834   834   314   234      0.046      0.024      0.870      0.872      0.000
   648        21   (g)                -52   424   424   830   830   234   175      0.014     -0.177      0.154      0.235      0.000
   649        21   (g)                -51   534     0   719   719   271   315     -0.849      4.788      2.259      5.362      0.000
   650        21   (g)                -51   534     0   727   727   315   256      0.271      1.123      0.575      1.291      0.000
   651         2   (u)                -52   486   486   693   693   256     0     -2.685     13.035      6.640     14.877      0.330
   652        21   (g)                -51   324     0   751   751   316   183      0.026     -0.577    -13.368     13.380      0.000
   653        21   (g)                -51   324     0   773   773   204   316     -0.216     -0.106     -0.984      1.013      0.000
   654        21   (g)                -52   323   323   745   745   108   204      0.388      0.060    -25.827     25.830      0.000
   655        21   (g)                -51   363     0   705   705   178   317     -0.625      0.300     19.225     19.237      0.000
   656        21   (g)                -51   363     0   728   728   317   101      0.344      0.195      3.020      3.046      0.000
   657        21   (g)                -53   690   690   485   485   110   101      0.000      0.000  -2193.262   2193.262      0.000
   658        21   (g)                -51   600     0   799   799   119   319     -0.677     -0.660     -2.004      2.216      0.000
   659        21   (g)                -51   600     0   819   819   319   151      0.031      0.270     -0.569      0.631      0.000
   660        21   (g)                -53   795   795   547   547   189   151     -0.000     -0.000   -317.563    317.563      0.000
   661        21   (g)                -51   588     0   893   893   320   250      0.223     -0.904     -1.250      1.559      0.000
   662        21   (g)                -51   588     0   898   898   158   320      0.038      0.203      0.040      0.210      0.000
   663        21   (g)                -52   616   616   895   895   303   158     -0.345      0.014      0.970      1.029      0.000
   664        21   (g)                -51   643     0   742   742   322   313     -0.277     -0.120     32.072     32.073      0.000
   665        21   (g)                -51   643     0   774   774   218   322      0.593     -0.075    101.464    101.465      0.000
   666        21   (g)                -52   365   365   753   753   170   218      0.935     -0.270     94.427     94.432      0.000
   667        21   (g)                -41   875   875   678   236   143   323     -0.000     -0.000    874.839    874.839      0.000
   668         1   (d)                -42   876   876   237   237   144     0      0.000      0.000    -25.390     25.390      0.000
   669         4   (c)                -44   238   238   877   877   144     0      1.039     -2.748     34.455     34.613      1.500
   670        21   (g)                -44   640   640   878   878   143   312     -0.557      0.902      1.697      2.001      0.000
   671        -4   (cbar)             -44   240   240   879   879     0   153     -0.616      0.973    118.687    118.702      1.500
   672         1   (d)                -44   504   504   880   880   260     0      0.564      0.471    -18.578     18.596      0.330
   673        21   (g)                -44   639   639   881   881   249   145     -0.088      0.188     -0.103      0.232      0.000
   674        21   (g)                -44   642   642   882   882   239   249     -0.137     -0.103      0.329      0.371      0.000
   675        21   (g)                -44   637   637   883   883   311   260     -0.578      0.405     -4.503      4.558      0.000
   676        21   (g)                -44   638   638   884   884   145   311      0.287      0.226     -1.823      1.859      0.000
   677        21   (g)                -44   641   641   885   885   312   239      0.132      0.033      0.890      0.900      0.000
   678        21   (g)                -43   667     0   886   886   153   323     -0.045     -0.347    718.397    718.397      0.000
   679        21   (g)                -42   835   835   464   464   130   129      0.000      0.000    147.779    147.779      0.000
   680        21   (g)                -41   836   836   688   455   142   324     -0.000     -0.000     -9.843      9.843      0.000
   681         3   (s)                -44   497   497   837   837   132     0      0.376      3.589     73.390     73.481      0.500
   682         1   (d)                -44   495   495   838   838   130     0      0.199     -0.888     30.691     30.706      0.330
   683        21   (g)                -44   533   533   839   839   142   248      0.109     -0.617     -0.852      1.058      0.000
   684        -3   (sbar)             -44   454   454   840   840     0   131     -0.337      0.806     10.699     10.746      0.500
   685        21   (g)                -44   531   531   841   841   270   129     -0.147     -1.108     -0.346      1.170      0.000
   686        -1   (dbar)             -44   496   496   842   842     0   132     -0.365     -1.390     32.307     32.341      0.330
   687        21   (g)                -44   532   532   843   843   248   270     -0.030     -0.626     -1.134      1.295      0.000
   688        21   (g)                -43   680     0   844   844   131   324      0.196      0.233     -6.819      6.826      0.000
   689        21   (g)                -61     1     0   521   521   120   104     -2.460     -0.638    130.909    130.934      0.000
   690        21   (g)                -61     2     0   657   657   112   101     -0.599      0.859  -2193.259   2193.259      0.000
   691         5   (b)                -62   331   331  1077  1077   138     0    -18.074    -45.409   -148.550    156.458      4.800
   692        -5   (bbar)             -62   494   494   982   982     0   121     18.271     22.469    -25.510     38.891      4.800
   693         2   (u)                -62   651   651  1001  1001   256     0     -2.888     12.984      6.648     14.874      0.330
   694        21   (g)                -62   450   450   989   989   243   192      0.624      0.572     -0.622      1.050      0.000
   695        21   (g)                -62   483   483  1171  1171   255   228      2.012      0.864   -674.756    674.759      0.000
   696        21   (g)                -62   519   519  1107  1107   265   216      0.314      1.273     16.202     16.255      0.000
   697        -1   (dbar)             -62   492   492   991   991     0   102      1.197      1.421     -1.950      2.714      0.330
   698        21   (g)                -62   528   528  1082  1082   269   164     -3.535     -4.979    -20.739     21.620      0.000
   699        -2   (ubar)             -62   110   110  1039  1039     0   104      0.493      7.716      2.864      8.252      0.330
   700        21   (g)                -62   530   530  1084  1084   166   150      0.806     -0.372    -24.934     24.950      0.000
   701         1   (d)                -62   295   295   914     0   163     0      0.052      1.253      0.809      1.528      0.330
   702        21   (g)                -62   604   604   914     0   296   163      0.023      0.819      0.807      1.150      0.000
   703        21   (g)                -62   568   568  1081  1081   164   277     -0.969     -1.984     -9.299      9.558      0.000
   704        21   (g)                -62   545   545   912     0   212   166     -0.042      0.562    -59.689     59.692      0.000
   705        21   (g)                -62   655   655   971     0   178   317     -0.986      0.206     19.218     19.244      0.000
   706        21   (g)                -62   452   452   915     0   102   190     -0.123     -0.085      0.020      0.150      0.000
   707        21   (g)                -62   387   387   988   988   192   105      0.948     -1.038     -0.697      1.569      0.000
   708        -1   (dbar)             -62   536   536  1004  1004     0   162     -1.491     -0.736     -0.335      1.728      0.330
   709        21   (g)                -62   570   570  1079  1079   202   206     -1.320     -6.342    -25.473     26.283      0.000
   710        -2   (ubar)             -62   354   354  1087  1087     0   205      0.463      0.719   -172.943    172.946      0.330
   711        21   (g)                -62   330   330  1078  1078   206   138     -1.005     -1.254     -5.911      6.126      0.000
   712         2   (u)                -62   407   407  1169  1169   103     0     -0.199      0.422    -67.684     67.686      0.330
   713        21   (g)                -62   543   543  1086  1086   205   275      0.203     -0.175   -122.047    122.047      0.000
   714        21   (g)                -62   362   362   971     0   216   178     -0.536      0.600     16.136     16.157      0.000
   715        21   (g)                -62   606   606   916     0   105   226     -0.232      0.172      0.005      0.289      0.000
   716        21   (g)                -62   406   406  1170  1170   228   103      0.174      0.454   -206.627    206.627      0.000
   717        21   (g)                -62   451   451   915     0   190   243     -0.243     -0.189     -0.365      0.478      0.000
   718        21   (g)                -62   484   484  1172  1172   112   255      1.462     -0.157   -550.188    550.190      0.000
   719        21   (g)                -62   649   649   913     0   271   315     -0.921      4.770      2.264      5.360      0.000
   720         1   (d)                -62   493   493   981   981   121     0      3.109      0.922     -5.058      6.017      0.330
   721        21   (g)                -62   520   520  1108  1108   120   265      0.322      1.527     36.457     36.491      0.000
   722        21   (g)                -62   529   529  1083  1083   150   269     -0.538     -0.089     -2.176      2.243      0.000
   723        21   (g)                -62   535   535   913     0   162   271     -0.662      2.277      1.331      2.719      0.000
   724        21   (g)                -62   544   544   912     0   275   212      0.033      0.477    -39.874     39.877      0.000
   725        21   (g)                -62   569   569  1080  1080   277   202     -0.551     -1.175     -3.129      3.388      0.000
   726        21   (g)                -62   605   605   916     0   226   296      0.210      0.425     -0.158      0.500      0.000
   727        21   (g)                -62   650   650  1002  1002   315   256      0.254      1.119      0.580      1.286      0.000
   728        21   (g)                -62   656   656  1105  1105   317   101      0.287      0.180      3.024      3.043      0.000
   729        21   (g)                -61     1     0   431   431   149   120      1.624      1.096    543.438    543.442      0.000
   730        21   (g)                -61     2     0   232   232   101   115      0.940      2.388   -476.260    476.267      0.000
   731        21   (g)                -62   625   625  1346  1346   307   177     -0.748      0.488      0.659      1.110      0.000
   732        21   (g)                -62   612   612  1121  1121   183   146     -0.902     -0.827     -9.888      9.963      0.000
   733        21   (g)                -62   524   524   938     0   232   115      1.085      0.084    -72.456     72.465      0.000
   734        21   (g)                -62   577   577   970     0   281   214     -1.655     -0.057      2.037      2.625      0.000
   735        21   (g)                -62   491   491  1339  1339   169   109     -0.559      0.915     -4.292      4.424      0.000
   736        21   (g)                -62   645   645  1349  1349   133   106      1.231      0.369     23.038     23.074      0.000
   737        21   (g)                -62   610   610   969     0   299   196     -0.192      0.278     -1.410      1.450      0.000
   738        21   (g)                -62   537   537  1115  1115   245   272     -0.190      0.529     -0.935      1.091      0.000
   739        21   (g)                -62   603   603   944     0   149   187     -0.031      0.134     67.113     67.114      0.000
   740        21   (g)                -62   291   291   968     0   165   148      0.594      0.173     -3.398      3.454      0.000
   741        21   (g)                -62   489   489   939     0   185   257     -0.206      0.176     -0.433      0.511      0.000
   742        21   (g)                -62   664   664  1351  1351   322   313     -0.181     -0.055     32.072     32.072      0.000
   743        21   (g)                -62   428   428   941     0   177   128      0.133     -0.002      0.296      0.325      0.000
   744        21   (g)                -62   429   429  1110  1110   181   236     -0.602     -0.043      1.958      2.049      0.000
   745        21   (g)                -62   654   654  1104  1104   101   204      0.439      0.190    -25.827     25.832      0.000
   746        21   (g)                -62   411   411   945     0   222   230     -0.178      0.274     -0.701      0.774      0.000
   747        21   (g)                -62   458   458  1117  1117   148   186      1.492      0.079     -4.529      4.769      0.000
   748        21   (g)                -62   601   601   940     0   294   170      0.693     -0.210     59.088     59.093      0.000
   749        21   (g)                -62   447   447   968     0   242   165      0.285      0.075     -0.961      1.005      0.000
   750        21   (g)                -62   480   480  1348  1348   106   254      0.297      0.239     -0.042      0.383      0.000
   751        21   (g)                -62   652   652  1122  1122   316   183      0.053     -0.510    -13.369     13.378      0.000
   752        21   (g)                -62   356   356   970     0   214   181     -2.225     -0.530      2.141      3.133      0.000
   753        21   (g)                -62   666   666   940     0   170   218      1.217     -0.080     94.426     94.434      0.000
   754        21   (g)                -62   413   413  1342  1342   221   229      0.426     -0.469     -1.739      1.851      0.000
   755        21   (g)                -62   426   426   945     0   235   222      0.412      0.489     -0.863      1.074      0.000
   756        21   (g)                -62   409   409   939     0   229   185     -0.183      0.295     -1.089      1.143      0.000
   757        21   (g)                -62   412   412  1343  1343   230   221     -0.175     -0.857     -0.580      1.050      0.000
   758        21   (g)                -62   522   522  1338  1338   109   266      2.534      0.005   -237.260    237.274      0.000
   759        21   (g)                -62   427   427   941     0   128   235     -0.117     -0.232      0.139      0.295      0.000
   760        21   (g)                -62   430   430  1109  1109   236   120     -0.221      1.139      3.650      3.830      0.000
   761        21   (g)                -62   448   448   969     0   196   242     -0.734      0.450     -6.693      6.748      0.000
   762        21   (g)                -62   457   457  1116  1116   186   245      0.317     -0.531     -0.350      0.711      0.000
   763        21   (g)                -62   627   627   942     0   254   198     -0.187     -0.120      0.117      0.251      0.000
   764        21   (g)                -62   490   490  1340  1340   257   169     -0.628      0.821     -9.040      9.099      0.000
   765        21   (g)                -62   523   523   938     0   266   232      1.188      0.078    -66.054     66.065      0.000
   766        21   (g)                -62   597   597  1114  1114   272   107      0.225     -0.141     -0.161      0.311      0.000
   767        21   (g)                -62   595   595  1112  1112   292   281     -0.159     -0.015      1.314      1.324      0.000
   768        21   (g)                -62   596   596  1113  1113   107   292     -0.464      0.377      0.403      0.721      0.000
   769        21   (g)                -62   602   602   944     0   187   294      0.645      0.415    133.830    133.832      0.000
   770        21   (g)                -62   611   611  1120  1120   146   299     -0.032      0.126     -9.735      9.736      0.000
   771        21   (g)                -62   626   626   942     0   198   307     -1.195      0.160      0.048      1.207      0.000
   772        21   (g)                -62   644   644  1350  1350   313   133      0.383     -0.225     16.176     16.182      0.000
   773        21   (g)                -62   653   653  1103  1103   204   316     -0.214     -0.101     -0.984      1.012      0.000
   774        21   (g)                -62   665   665  1352  1352   218   322      0.897      0.130    101.463    101.467      0.000
   775        21   (g)                -61     1     0   636   636   123   112      0.339      0.653      3.626      3.700      0.000
   776        21   (g)                -61     2     0   272   272   115   250     -0.283     -2.951   -178.984    179.009      0.000
   777        21   (g)                -62   509   509  1236  1236   111   270     -3.064     -1.803     -0.638      3.612      0.000
   778        21   (g)                -62   274   274   967     0   114   231      1.536      1.312    -92.513     92.535      0.000
   779        21   (g)                -62   516   516  1225  1225   264   167      1.150     -0.070     -2.636      2.877      0.000
   780        21   (g)                -62   631   631  1336  1336   115   309      0.552     -0.353    -37.555     37.561      0.000
   781         3   (s)                -62   277   277  1224  1224   167     0     -0.398      0.163     -0.950      1.157      0.500
   782        -3   (sbar)             -62   278   278   964     0     0   145      0.731      1.074     -5.700      5.867      0.500
   783        21   (g)                -62   589   589   926     0   191   117     -0.558      0.027     -0.387      0.680      0.000
   784        21   (g)                -62   613   613  1230  1230   301   142      0.447     -0.686     -1.074      1.351      0.000
   785        21   (g)                -62   434   434   923     0   211   111     -0.398     -0.371      0.167      0.569      0.000
   786        21   (g)                -62   591   591  1238  1238   237   199     -0.524     -0.135     -0.069      0.545      0.000
   787        21   (g)                -62   615   615   928     0   261   319     -0.127      0.119     -0.569      0.595      0.000
   788        21   (g)                -62   508   508   931     0   122   320      0.050     -0.600     -0.406      0.726      0.000
   789        21   (g)                -62   517   517   918     0   209   262     -0.120     -0.235     -0.629      0.682      0.000
   790        21   (g)                -62   590   590   924     0   289   237     -0.663      0.009      0.462      0.808      0.000
   791        21   (g)                -62   614   614   932     0   252   197      0.505      0.163     -0.442      0.691      0.000
   792        21   (g)                -62   634   634  1335  1335   309   160      0.978     -0.627    -19.973     20.006      0.000
   793        21   (g)                -62   635   635   936     0   310   118     -0.043     -0.284    -12.444     12.447      0.000
   794        21   (g)                -61     1     0   546   546   151   151      3.299      1.241      9.346      9.988      0.000
   795        21   (g)                -61     2     0   660   660   227   227     -1.907      0.707   -317.312    317.319      0.000
   796        21   (g)                -62   619   619  1066  1066   304   179      1.650      0.921      0.550      1.968      0.000
   797        21   (g)                -62   549   549   961     0   184   304     -1.164     -0.478    -18.945     18.987      0.000
   798        21   (g)                -62   598   598   933     0   147   122      0.163     -0.990     -0.215      1.026      0.000
   799        21   (g)                -62   658   658   929     0   119   258     -0.653     -0.642     -1.847      2.061      0.000
   800        21   (g)                -62   552   552   936     0   160   310     -0.002     -0.038     -0.956      0.957      0.000
   801        21   (g)                -62   553   553   958     0   179   116      0.207      0.204      0.138      0.321      0.000
   802        21   (g)                -62   554   554   943     0   118   246     -0.275      0.035    -15.338     15.340      0.000
   803        -1   (dbar)             -62   555   555   961     0     0   184     -0.742     -0.306     -9.771      9.810      0.330
   804        21   (g)                -62   609   609   966     0   231   189      0.116      0.455    -27.301     27.305      0.000
   805        21   (g)                -62   557   557   937     0   195   188     -1.231     -0.045    -40.938     40.957      0.000
   806         1   (d)                -62   558   558  1332  1332   188     0     -0.503     -0.738    -39.507     39.518      0.330
   807        21   (g)                -62   559   559   962     0   200   233     -0.117      0.349    -16.835     16.839      0.000
   808        21   (g)                -62   621   621   958     0   116   276      2.539      2.146      1.856      3.807      0.000
   809        21   (g)                -62   561   561   937     0   246   195     -1.551     -0.057    -59.736     59.756      0.000
   810        21   (g)                -62   562   562   924     0   117   289     -0.415      0.141      0.272      0.516      0.000
   811        21   (g)                -62   607   607   966     0   189   176      0.289      0.495    -47.632     47.635      0.000
   812        21   (g)                -62   564   564   963     0   225   131     -0.079      0.288     -5.383      5.391      0.000
   813        21   (g)                -62   565   565  1242  1242   267   158      1.360     -0.935      1.513      2.239      0.000
   814        21   (g)                -62   566   566   967     0   274   114      0.154      0.025     -7.086      7.088      0.000
   815        21   (g)                -62   567   567   960     0   276   223      0.539      0.439      0.618      0.930      0.000
   816        21   (g)                -62   599   599   959     0   293   288      0.107      0.069      0.214      0.249      0.000
   817        21   (g)                -62   608   608  1019  1019   298   250     -0.195     -0.253    -22.207     22.209      0.000
   818        21   (g)                -62   620   620   960     0   223   284      1.158      0.587      1.161      1.742      0.000
   819        21   (g)                -62   659   659   928     0   319   252      0.038      0.276     -0.592      0.654      0.000
   820        -1   (dbar)             -61     1     0   135   135     0   123      0.000     -1.440    733.311    733.313      0.000
   821        21   (g)                -61     2     0   360   360   123   149      0.872      4.003      2.737      4.927      0.000
   822        21   (g)                -62   358   358  1309  1309   123   124      0.082      1.419      5.089      5.284      0.000
   823        21   (g)                -62   594   594   917     0   152   112      0.740      0.781      6.998      7.081      0.000
   824        -1   (dbar)             -62   583   583  1355  1355     0   149     -1.368     -2.913    683.574    683.582      0.330
   825        21   (g)                -62   646   646  1243  1243   220   267      1.822     -1.330      5.829      6.250      0.000
   826        21   (g)                -62   580   580   957     0   284   278      0.756      0.103      0.612      0.978      0.000
   827        21   (g)                -62   592   592   947     0   175   308     -0.413     -0.029      1.716      1.765      0.000
   828        21   (g)                -62   359   359  1306  1306   126   137     -1.537      3.174      9.016      9.681      0.000
   829        21   (g)                -62   368   368   946     0   168   290      0.078      0.286      0.602      0.671      0.000
   830        21   (g)                -62   648   648   920     0   234   301      0.046     -0.028     -0.023      0.059      0.000
   831        21   (g)                -62   585   585   948     0   124   240      0.179      0.579      1.521      1.638      0.000
   832        21   (g)                -62   584   584  1246  1246   285   314      0.251      0.083     19.484     19.486      0.000
   833        21   (g)                -62   593   593   952     0   290   143      0.189      0.412      0.698      0.833      0.000
   834        21   (g)                -62   647   647   919     0   314   241      0.047      0.025      0.932      0.933      0.000
   835        21   (g)                -61     1     0   679   679   324   324      1.181      0.629    147.792    147.798      0.000
   836        21   (g)                -61     2     0   680   680   129   129     -0.269      0.152     -9.839      9.844      0.000
   837         3   (s)                -62   681   681  1302  1302   132     0      0.961      3.903     73.410     73.522      0.500
   838         1   (d)                -62   682   682   955     0   130     0      0.444     -0.757     30.685     30.700      0.330
   839        21   (g)                -62   683   683   927     0   142   248      0.084     -0.602     -0.857      1.051      0.000
   840        -3   (sbar)             -62   684   684   973   973     0   144     -0.252      0.852     10.710     10.759      0.500
   841        21   (g)                -62   685   685   933     0   270   147     -0.165     -1.094     -0.349      1.160      0.000
   842        -1   (dbar)             -62   686   686   925     0     0   208     -0.107     -1.252     32.309     32.335      0.330
   843        21   (g)                -62   687   687   927     0   248   209     -0.063     -0.607     -1.136      1.289      0.000
   844        21   (g)                -62   688   688   963     0   131   274      0.009      0.338     -6.819      6.827      0.000
   845         2   (u)                -61     1     0    90    90   112     0     -4.448     -0.211   1008.258   1008.268      0.000
   846        -2   (ubar)             -61     2     0    91    91     0   112      1.623     -2.951      3.569      4.907      0.000
   847        21   (g)                -62   515   515   934     0   203   201      0.243     -1.724      8.414      8.592      0.000
   848        21   (g)                -62    93    93  1249  1249   135   153     -1.318     -1.423    641.025    641.028      0.000
   849         2   (u)                -62   154   154  1013  1017   155     0      1.423      1.919    208.088    208.102      0.330
   850        -2   (ubar)             -62   316   316  1013  1017     0   155     -0.182      0.175     -0.297      0.511      0.330
   851        21   (g)                -62   477   477  1251  1251   253   224     -2.226      0.150    118.273    118.294      0.000
   852        21   (g)                -62   479   479   919     0   241   203      0.722     -0.006     10.013     10.039      0.000
   853        21   (g)                -62   446   446   951     0   193   239     -0.632     -0.620      3.441      3.554      0.000
   854        21   (g)                -62   322   322   953     0   137   303     -0.117      0.096      0.633      0.651      0.000
   855        21   (g)                -62   513   513   934     0   201   220      0.238     -0.870      3.388      3.506      0.000
   856        21   (g)                -62   445   445   949     0   134   132     -0.362     -0.240      5.928      5.944      0.000
   857        21   (g)                -62   478   478   930     0   180   139     -0.222     -0.310      8.108      8.117      0.000
   858        21   (g)                -62   514   514   949     0   263   134     -0.395     -0.310      4.811      4.837      0.000
   859        21   (g)                -61     1     0   301   301   156   156      0.315      1.243    288.766    288.769      0.000
   860        21   (g)                -61     2     0   302   302   141   141     -0.613      3.307   -187.958    187.989      0.000
   861        21   (g)                -62   346   346  1247  1247   210   285     -0.257      0.474    147.304    147.305      0.000
   862         4   (c)                -62   573   573  1061  1061   140     0      1.830      2.389     22.518     22.767      1.500
   863        -4   (cbar)             -62   305   305  1174  1174     0   312      1.018     -0.953     -0.360      2.079      1.500
   864        21   (g)                -62   420   420   962     0   176   200     -0.933      2.910   -140.299    140.332      0.000
   865        21   (g)                -62   571   571   923     0   199   211     -0.386     -0.381      0.344      0.643      0.000
   866        21   (g)                -62   471   471   965     0   207   298     -0.211      0.156     -5.973      5.979      0.000
   867        21   (g)                -62   437   437   935     0   224   238     -0.243     -0.288     26.149     26.152      0.000
   868        21   (g)                -62   512   512  1252  1252   139   253     -0.482      0.100     14.154     14.162      0.000
   869        21   (g)                -62   421   421   965     0   233   207     -0.800      1.004    -37.189     37.212      0.000
   870        21   (g)                -62   436   436   935     0   238   135     -0.367     -0.292     76.340     76.341      0.000
   871        21   (g)                -62   630   630  1226  1226   251   264      0.368     -0.368     -2.049      2.114      0.000
   872        21   (g)                -62   628   628   947     0   308   193     -0.053     -0.026      0.272      0.278      0.000
   873        21   (g)                -62   572   572   957     0   278   293      0.437      0.034      0.363      0.569      0.000
   874        21   (g)                -62   629   629   918     0   262   119     -0.219     -0.210     -0.765      0.823      0.000
   875        21   (g)                -61     1     0   667   667   260   250     -1.442      0.101    874.855    874.856      0.000
   876         1   (d)                -61     2     0   668   668   250     0     -1.237     -0.832    -25.369     25.412      0.000
   877         4   (c)                -62   669   669   972   972   144     0      0.978     -2.747     34.477     34.632      1.500
   878        21   (g)                -62   670   670   954     0   143   157     -0.568      0.897      1.696      2.001      0.000
   879        -4   (cbar)             -62   671   671   977   977     0   259     -0.812      0.987    118.688    118.704      1.500
   880         1   (d)                -62   672   672  1206  1206   260     0     -0.342     -0.138    -18.583     18.590      0.330
   881        21   (g)                -62   673   673   922     0   249   279     -0.096      0.183     -0.104      0.231      0.000
   882        21   (g)                -62   674   674   951     0   239   263     -0.139     -0.103      0.334      0.376      0.000
   883        21   (g)                -62   675   675   921     0   311   261     -0.799      0.257     -4.492      4.570      0.000
   884        21   (g)                -62   676   676   964     0   145   225      0.197      0.165     -1.832      1.850      0.000
   885        21   (g)                -62   677   677   917     0   312   152      0.131      0.032      0.886      0.896      0.000
   886        21   (g)                -62   678   678  1248  1248   153   210     -1.229     -0.264    718.416    718.418      0.000
   887        21   (g)                -61     1     0   338   338   250   159      0.044     -0.759     98.896     98.899      0.000
   888         2   (u)                -61     2     0   339   339   159     0     -0.994     -0.924     -2.693      3.016      0.000
   889        21   (g)                -62   340   340   954     0   157   126     -1.665      1.562      4.696      5.222      0.000
   890         2   (u)                -62   468   468  1018  1018   250     0      0.607     -0.630     -0.797      1.229      0.330
   891        21   (g)                -62   501   501   925     0   208   180     -0.159     -0.891     27.608     27.622      0.000
   892        21   (g)                -62   622   622   955     0   305   130      0.315     -0.325     23.589     23.593      0.000
   893        21   (g)                -62   661   661   931     0   320   174     -0.267     -1.361     -1.068      1.751      0.000
   894        21   (g)                -62   624   624   956     0   259   305      0.123     -0.445     39.705     39.708      0.000
   895        21   (g)                -62   663   663   950     0   303   175     -0.355     -0.004      1.029      1.089      0.000
   896        21   (g)                -62   617   617   959     0   288   140      0.407      0.166      1.258      1.333      0.000
   897        21   (g)                -62   623   623   946     0   240   168      0.035      0.070      0.177      0.193      0.000
   898        21   (g)                -62   662   662   922     0   158   249      0.008      0.175      0.006      0.175      0.000
   899        -2   (ubar)             -61     1     0   202   202     0   149      1.357     -0.369      0.408      1.464      0.000
   900        21   (g)                -61     2     0   203   203   149   173     -0.024     -2.490    -17.901     18.073      0.000
   901        -2   (ubar)             -62   292   292  1049  1049     0   173      2.259     -0.727     -1.824      3.011      0.330
   902        21   (g)                -62   498   498  1227  1227   258   251     -0.758     -2.406    -13.663     13.894      0.000
   903        21   (g)                -62   574   574   920     0   197   234      0.502      0.113     -0.234      0.565      0.000
   904        21   (g)                -62   576   576   921     0   174   311     -0.287      0.012     -1.593      1.619      0.000
   905        21   (g)                -62   575   575   926     0   279   191     -0.382      0.150     -0.179      0.448      0.000
   906      2101   (ud_0)             -63     1     0  1207  1207     0   260      0.118     -0.582   2607.221   2607.221      0.579
   907         1   (d)                -63     1     0  1038  1038   104     0     -0.465     -0.868    155.761    155.765      0.330
   908         2   (u)                -63     1     0  1193  1193   159     0      0.537     -0.098    388.118    388.119      0.330
   909      2101   (ud_0)             -63     2     0  1310  1310     0   123      1.213     -0.132  -2020.435   2020.435      0.579
   910         2   (u)                -63     2     0  1048  1048   173     0      0.755     -0.789  -1532.390   1532.390      0.330
   911        -1   (dbar)             -63     2     0  1194  1194     0   159      0.524     -0.346    -34.610     34.618      0.330
   912        21   (g)                -73   704   724  1085  1085   275   166     -0.009      1.039    -99.564     99.569      0.145
   913        21   (g)                -73   719   723  1003  1003   162   315     -1.583      7.047      3.595      8.079      0.425
   914         1   (d)                -73   701   702   986   986   296     0      0.075      2.072      1.616      2.678      0.513
   915        21   (g)                -73   706   717   990   990   102   243     -0.366     -0.273     -0.345      0.628      0.259
   916        21   (g)                -73   715   726   987   987   105   296     -0.022      0.597     -0.154      0.789      0.492
   917        21   (g)                -73   823   885  1173  1173   312   112      0.871      0.813      7.884      7.977      0.214
   918        21   (g)                -73   789   874   929     0   209   119     -0.339     -0.445     -1.394      1.504      0.095
   919        21   (g)                -73   834   852  1245  1245   314   203      0.769      0.020     10.945     10.972      0.108
   920        21   (g)                -73   830   903   932     0   197   301      0.548      0.085     -0.257      0.624      0.125
   921        21   (g)                -73   883   904  1233  1233   174   261     -1.086      0.269     -6.085      6.189      0.132
   922        21   (g)                -73   881   898  1241  1241   158   279     -0.088      0.358     -0.097      0.406      0.141
   923        21   (g)                -73   785   865  1237  1237   199   111     -0.785     -0.752      0.511      1.211      0.162
   924        21   (g)                -73   790   810  1239  1239   117   237     -1.078      0.151      0.734      1.324      0.172
   925        -1   (dbar)             -73   842   891   930     0     0   180     -0.266     -2.143     59.916     59.957      0.494
   926        21   (g)                -73   783   905  1240  1240   279   117     -0.940      0.177     -0.566      1.128      0.189
   927        21   (g)                -73   839   843  1229  1229   142   209      0.021     -1.209     -1.993      2.340      0.206
   928        21   (g)                -73   787   819  1232  1232   261   252     -0.089      0.394     -1.161      1.249      0.221
   929        21   (g)                -73   799   918  1228  1228   209   258     -0.992     -1.086     -3.241      3.566      0.226
   930        -1   (dbar)             -73   857   925  1253  1253     0   139     -0.487     -2.453     68.024     68.074      0.732
   931        21   (g)                -73   788   893  1234  1234   122   174     -0.217     -1.961     -1.474      2.477      0.262
   932        21   (g)                -73   791   920  1231  1231   252   301      1.054      0.247     -0.699      1.315      0.263
   933        21   (g)                -73   798   841  1235  1235   270   122     -0.002     -2.084     -0.564      2.187      0.344
   934        21   (g)                -73   847   855  1244  1244   203   220      0.481     -2.594     11.802     12.098      0.346
   935        21   (g)                -73   867   870  1250  1250   224   135     -0.610     -0.580    102.489    102.493      0.379
   936        21   (g)                -73   793   800   943     0   160   118     -0.045     -0.322    -13.400     13.404      0.058
   937        21   (g)                -73   805   809  1333  1333   246   188     -2.782     -0.102   -100.675    100.713      0.202
   938        21   (g)                -73   733   765  1337  1337   266   115      2.272      0.162   -138.511    138.529      0.208
   939        21   (g)                -73   741   756  1341  1341   229   257     -0.390      0.471     -1.522      1.654      0.213
   940        21   (g)                -73   748   753  1353  1353   294   218      1.910     -0.290    153.514    153.527      0.220
   941        21   (g)                -73   743   759  1345  1345   177   235      0.017     -0.234      0.435      0.619      0.374
   942        21   (g)                -73   763   771  1347  1347   254   307     -1.382      0.040      0.165      1.458      0.432
   943        21   (g)                -73   802   936  1334  1334   160   246     -0.319     -0.286    -28.737     28.744      0.440
   944        21   (g)                -73   739   769  1354  1354   149   294      0.614      0.549    200.943    200.945      0.512
   945        21   (g)                -73   746   755  1344  1344   235   230      0.234      0.763     -1.564      1.848      0.575
   946        21   (g)                -73   829   897   948     0   240   290      0.113      0.356      0.779      0.865      0.033
   947        21   (g)                -73   827   872   950     0   175   193     -0.465     -0.054      1.987      2.043      0.062
   948        21   (g)                -73   831   946   952     0   124   290      0.292      0.935      2.300      2.502      0.098
   949        21   (g)                -73   856   858  1303  1303   263   132     -0.757     -0.550     10.739     10.781      0.169
   950        21   (g)                -73   895   947   953     0   303   193     -0.820     -0.059      3.017      3.131      0.173
   951        21   (g)                -73   853   882  1304  1304   193   263     -0.771     -0.723      3.776      3.930      0.267
   952        21   (g)                -73   833   948  1308  1308   124   143      0.481      1.347      2.999      3.335      0.287
   953        21   (g)                -73   854   950  1305  1305   137   193     -0.936      0.038      3.650      3.783      0.327
   954        21   (g)                -73   878   889  1307  1307   143   126     -2.233      2.459      6.392      7.223      0.523
   955         1   (d)                -73   838   892   956     0   305     0      0.759     -1.082     54.274     54.293      0.528
   956         1   (d)                -73   894   955   976   976   259     0      0.882     -1.527     93.979     94.001      0.950
   957        21   (g)                -73   826   873  1063  1063   284   293      1.192      0.137      0.975      1.547      0.035
   958        21   (g)                -73   801   808  1065  1065   179   276      2.745      2.350      1.995      4.129      0.103
   959        21   (g)                -73   816   896  1062  1062   293   140      0.514      0.236      1.473      1.582      0.123
   960        21   (g)                -73   815   818  1064  1064   276   284      1.698      1.025      1.779      2.672      0.203
   961        -1   (dbar)             -73   797   803  1067  1067     0   304     -1.906     -0.784    -28.716     28.797      0.605
   962        21   (g)                -73   807   864  1021  1021   176   233     -1.050      3.258   -157.134    157.172      0.015
   963        21   (g)                -73   812   844  1024  1024   225   274     -0.070      0.626    -12.202     12.218      0.100
   964        -3   (sbar)             -73   782   884  1025  1025     0   225      0.927      1.239     -7.532      7.717      0.657
   965        21   (g)                -73   866   869  1020  1020   233   298     -1.012      1.161    -43.163     43.191      0.207
   966        21   (g)                -73   804   811  1022  1022   231   176      0.405      0.950    -74.933     74.941      0.235
   967        21   (g)                -73   778   814  1023  1023   274   231      1.690      1.337    -99.599     99.623      0.303
   968        21   (g)                -73   740   749  1118  1118   242   148      0.879      0.248     -4.360      4.460      0.218
   969        21   (g)                -73   737   761  1119  1119   299   242     -0.926      0.728     -8.103      8.198      0.403
   970        21   (g)                -73   734   752  1111  1111   281   181     -3.880     -0.587      4.178      5.758      0.549
   971        21   (g)                -73   705   714  1106  1106   216   317     -1.523      0.806     35.354     35.401      0.565
   972         4   (c)                -71   877   877   974   975   144     0      0.978     -2.747     34.477     34.632      1.500
   973        -3   (sbar)             -71   840   840   974   975     0   144     -0.252      0.852     10.710     10.759      0.500
   974       413   (D*+)              -83   972   973  1594  1595     0     0      0.746     -2.640     35.407     35.570      2.010
   975       311   (K0)               -84   972   973  1391  1391     0     0     -0.021      0.745      9.780      9.821      0.498
   976         1   (d)                -71   956   956   978   980   259     0      0.882     -1.527     93.979     94.001      0.950
   977        -4   (cbar)             -71   879   879   978   980     0   259     -0.812      0.987    118.688    118.704      1.500
   978      -211   pi-                 83   976   977     0     0     0     0     -0.008     -1.207     73.375     73.385      0.140
   979       111   (pi0)              -84   976   977  1596  1597     0     0      0.341      0.654     36.044     36.052      0.135
   980      -423   (D*bar0)           -84   976   977  1598  1599     0     0     -0.264      0.013    103.248    103.268      2.007
   981         1   (d)                -71   720   720   983   985   121     0      3.109      0.922     -5.058      6.017      0.330
   982        -5   (bbar)             -71   692   692   983   985     0   121     18.271     22.469    -25.510     38.891      4.800
   983      -211   pi-                 83   981   982     0     0     0     0      2.507      0.515     -3.558      4.386      0.140
   984       211   pi+                 84   981   982     0     0     0     0      1.875      2.540     -3.217      4.509      0.140
   985       513   (B*0)              -84   981   982  1600  1601     0     0     16.998     20.337    -23.793     36.013      5.325
   986         1   (d)                -71   914   914   992  1000   296     0      0.075      2.072      1.616      2.678      0.513
   987        21   (g)                -71   916   916   992  1000   105   296     -0.022      0.597     -0.154      0.789      0.492
   988        21   (g)                -71   707   707   992  1000   192   105      0.948     -1.038     -0.697      1.569      0.000
   989        21   (g)                -71   694   694   992  1000   243   192      0.624      0.572     -0.622      1.050      0.000
   990        21   (g)                -71   915   915   992  1000   102   243     -0.366     -0.273     -0.345      0.628      0.259
   991        -1   (dbar)             -71   697   697   992  1000     0   102      1.197      1.421     -1.950      2.714      0.330
   992       111   (pi0)              -83   986   991  1602  1603     0     0     -0.081      0.546      0.519      0.770      0.135
   993       111   (pi0)              -83   986   991  1604  1605     0     0      0.179      0.882      0.207      0.933      0.135
   994       111   (pi0)              -83   986   991  1606  1607     0     0      0.103      0.195      0.340      0.427      0.135
   995      -213   (rho-)             -83   986   991  1392  1393     0     0     -0.041      0.413      0.590      1.107      0.839
   996       213   (rho+)             -83   986   991  1394  1395     0     0      0.262      0.437     -0.425      1.010      0.762
   997       223   (omega)            -84   986   991  1608  1610     0     0      0.119     -0.184     -0.752      1.084      0.749
   998       111   (pi0)              -84   986   991  1611  1612     0     0      0.978     -0.285     -0.881      1.354      0.135
   999      -213   (rho-)             -84   986   991  1396  1397     0     0      0.438      0.961     -1.261      1.933      1.015
  1000       211   pi+                 84   986   991     0     0     0     0      0.500      0.386     -0.489      0.811      0.140
  1001         2   (u)                -71   693   693  1005  1012   256     0     -2.888     12.984      6.648     14.874      0.330
  1002        21   (g)                -71   727   727  1005  1012   315   256      0.254      1.119      0.580      1.286      0.000
  1003        21   (g)                -71   913   913  1005  1012   162   315     -1.583      7.047      3.595      8.079      0.425
  1004        -1   (dbar)             -71   708   708  1005  1012     0   162     -1.491     -0.736     -0.335      1.728      0.330
  1005       211   pi+                 83  1001  1004     0     0     0     0     -1.809      9.565      4.653     10.791      0.140
  1006       311   (K0)               -83  1001  1004  1398  1398     0     0     -0.784      2.314      1.170      2.754      0.498
  1007      -311   (Kbar0)            -83  1001  1004  1399  1399     0     0      0.092      1.143      0.962      1.578      0.498
  1008      -211   pi-                 83  1001  1004     0     0     0     0     -1.142      5.663      2.506      6.299      0.140
  1009      2212   p+                  84  1001  1004     0     0     0     0     -0.495      1.109      0.911      1.784      0.938
  1010     -2112   nbar0               84  1001  1004     0     0     0     0     -0.516      0.188      0.129      1.096      0.940
  1011      -211   pi-                 84  1001  1004     0     0     0     0     -1.218      0.605      0.215      1.384      0.140
  1012       211   pi+                 84  1001  1004     0     0     0     0      0.163     -0.173     -0.057      0.282      0.140
  1013       111   (pi0)              -83   849   850  1613  1614     0     0      0.595      0.788     79.069     79.075      0.135
  1014       113   (rho0)             -83   849   850  1400  1401     0     0      0.537      1.064    112.688    112.696      0.654
  1015       211   pi+                 83   849   850     0     0     0     0      0.518      0.126     13.973     13.984      0.140
  1016       311   (K0)               -84   849   850  1402  1402     0     0     -0.276      0.157      1.732      1.830      0.498
  1017      -323   (K*-)              -84   849   850  1403  1404     0     0     -0.132     -0.040      0.329      1.027      0.963
  1018         2   (u)                -71   890   890  1026  1037   250     0      0.607     -0.630     -0.797      1.229      0.330
  1019        21   (g)                -71   817   817  1026  1037   298   250     -0.195     -0.253    -22.207     22.209      0.000
  1020        21   (g)                -71   965   965  1026  1037   233   298     -1.012      1.161    -43.163     43.191      0.207
  1021        21   (g)                -71   962   962  1026  1037   176   233     -1.050      3.258   -157.134    157.172      0.015
  1022        21   (g)                -71   966   966  1026  1037   231   176      0.405      0.950    -74.933     74.941      0.235
  1023        21   (g)                -71   967   967  1026  1037   274   231      1.690      1.337    -99.599     99.623      0.303
  1024        21   (g)                -71   963   963  1026  1037   225   274     -0.070      0.626    -12.202     12.218      0.100
  1025        -3   (sbar)             -71   964   964  1026  1037     0   225      0.927      1.239     -7.532      7.717      0.657
  1026       113   (rho0)             -83  1018  1025  1405  1406     0     0      0.382     -0.532     -2.453      2.667      0.814
  1027       211   pi+                 83  1018  1025     0     0     0     0     -0.530      0.485     -7.876      7.910      0.140
  1028       111   (pi0)              -83  1018  1025  1615  1616     0     0      0.614     -0.632     -2.044      2.230      0.135
  1029       223   (omega)            -83  1018  1025  1617  1619     0     0     -0.611      0.655    -37.582     37.601      0.781
  1030      -211   pi-                 83  1018  1025     0     0     0     0     -0.401      1.261    -78.147     78.159      0.140
  1031       111   (pi0)              -83  1018  1025  1620  1621     0     0     -0.784      2.145   -102.919    102.945      0.135
  1032       211   pi+                 84  1018  1025     0     0     0     0      1.281      0.797    -66.261     66.279      0.140
  1033      -211   pi-                 84  1018  1025     0     0     0     0     -0.347      0.606    -21.290     21.302      0.140
  1034       213   (rho+)             -84  1018  1025  1407  1408     0     0      0.848      1.317    -76.875     76.905      1.492
  1035      -211   pi-                 84  1018  1025     0     0     0     0     -0.154      0.255     -4.881      4.893      0.140
  1036       113   (rho0)             -84  1018  1025  1409  1410     0     0      0.874      0.623     -8.403      8.502      0.720
  1037       323   (K*+)              -84  1018  1025  1411  1412     0     0      0.131      0.709     -8.834      8.908      0.889
  1038         1   (d)                -71   907   907  1040  1047   104     0     -0.465     -0.868    155.761    155.765      0.330
  1039        -2   (ubar)             -71   699   699  1040  1047     0   104      0.493      7.716      2.864      8.252      0.330
  1040       331   (eta')             -83  1038  1039  1622  1624     0     0     -0.263     -1.081    105.810    105.820      0.958
  1041       223   (omega)            -83  1038  1039  1625  1627     0     0     -0.134      0.665     25.757     25.778      0.787
  1042      -213   (rho-)             -83  1038  1039  1413  1414     0     0      0.213     -0.176     17.983     18.004      0.826
  1043       211   pi+                 83  1038  1039     0     0     0     0     -0.621     -0.016      3.096      3.161      0.140
  1044       111   (pi0)              -83  1038  1039  1628  1629     0     0      0.263      0.378      1.021      1.128      0.135
  1045      -213   (rho-)             -83  1038  1039  1415  1416     0     0      0.161      0.177      2.317      2.490      0.878
  1046       211   pi+                 83  1038  1039     0     0     0     0      0.165      0.010      0.020      0.217      0.140
  1047      -213   (rho-)             -84  1038  1039  1417  1418     0     0      0.244      6.891      2.621      7.419      0.791
  1048         2   (u)                -71   910   910  1050  1060   173     0      0.755     -0.789  -1532.390   1532.390      0.330
  1049        -2   (ubar)             -71   901   901  1050  1060     0   173      2.259     -0.727     -1.824      3.011      0.330
  1050       321   K+                  83  1048  1049     0     0     0     0     -0.159     -0.294   -604.775    604.776      0.494
  1051      -313   (K*bar0)           -83  1048  1049  1419  1420     0     0      0.363     -0.213   -357.605    357.606      0.873
  1052       111   (pi0)              -83  1048  1049  1630  1631     0     0      0.156     -0.032    -58.261     58.262      0.135
  1053       223   (omega)            -83  1048  1049  1632  1634     0     0      0.515     -0.164   -465.649    465.650      0.784
  1054       113   (rho0)             -83  1048  1049  1421  1422     0     0     -0.306     -0.150    -21.958     21.975      0.804
  1055       311   (K0)               -83  1048  1049  1423  1423     0     0      0.179     -0.160     -3.999      4.037      0.498
  1056       333   (phi)              -83  1048  1049  1635  1636     0     0      0.067     -0.070    -13.408     13.447      1.021
  1057      -321   K-                  84  1048  1049     0     0     0     0      0.867      0.717     -3.595      3.799      0.494
  1058       221   (eta)              -84  1048  1049  1637  1639     0     0      0.067     -0.901     -1.418      1.768      0.548
  1059       111   (pi0)              -84  1048  1049  1640  1641     0     0      0.560      0.429     -2.283      2.393      0.135
  1060       221   (eta)              -84  1048  1049  1642  1643     0     0      0.705     -0.677     -1.263      1.688      0.548
  1061         4   (c)                -71   862   862  1068  1076   140     0      1.830      2.389     22.518     22.767      1.500
  1062        21   (g)                -71   959   959  1068  1076   293   140      0.514      0.236      1.473      1.582      0.123
  1063        21   (g)                -71   957   957  1068  1076   284   293      1.192      0.137      0.975      1.547      0.035
  1064        21   (g)                -71   960   960  1068  1076   276   284      1.698      1.025      1.779      2.672      0.203
  1065        21   (g)                -71   958   958  1068  1076   179   276      2.745      2.350      1.995      4.129      0.103
  1066        21   (g)                -71   796   796  1068  1076   304   179      1.650      0.921      0.550      1.968      0.000
  1067        -1   (dbar)             -71   961   961  1068  1076     0   304     -1.906     -0.784    -28.716     28.797      0.605
  1068       421   (D0)               -83  1061  1067  1644  1645     0     0      1.376      1.148     11.066     11.364      1.865
  1069       213   (rho+)             -83  1061  1067  1424  1425     0     0      0.863      0.776     11.609     11.733      1.245
  1070       113   (rho0)             -83  1061  1067  1426  1427     0     0      3.178      2.514      4.255      5.928      0.782
  1071       113   (rho0)             -83  1061  1067  1428  1429     0     0      2.910      1.387      1.308      3.671      1.173
  1072      2114   (Delta0)           -83  1061  1067  1430  1431     0     0      1.027      1.110      0.471      2.051      1.304
  1073       213   (rho+)             -84  1061  1067  1432  1433     0     0      0.062     -0.279     -0.718      0.983      0.608
  1074     -2224   (Deltabar--)       -84  1061  1067  1434  1435     0     0     -0.379      0.296     -8.616      8.735      1.360
  1075       211   pi+                 84  1061  1067     0     0     0     0     -0.521      0.331     -1.483      1.613      0.140
  1076       223   (omega)            -84  1061  1067  1646  1648     0     0     -0.793     -1.009    -17.319     17.384      0.782
  1077         5   (b)                -71   691   691  1088  1102   138     0    -18.074    -45.409   -148.550    156.458      4.800
  1078        21   (g)                -71   711   711  1088  1102   206   138     -1.005     -1.254     -5.911      6.126      0.000
  1079        21   (g)                -71   709   709  1088  1102   202   206     -1.320     -6.342    -25.473     26.283      0.000
  1080        21   (g)                -71   725   725  1088  1102   277   202     -0.551     -1.175     -3.129      3.388      0.000
  1081        21   (g)                -71   703   703  1088  1102   164   277     -0.969     -1.984     -9.299      9.558      0.000
  1082        21   (g)                -71   698   698  1088  1102   269   164     -3.535     -4.979    -20.739     21.620      0.000
  1083        21   (g)                -71   722   722  1088  1102   150   269     -0.538     -0.089     -2.176      2.243      0.000
  1084        21   (g)                -71   700   700  1088  1102   166   150      0.806     -0.372    -24.934     24.950      0.000
  1085        21   (g)                -71   912   912  1088  1102   275   166     -0.009      1.039    -99.564     99.569      0.145
  1086        21   (g)                -71   713   713  1088  1102   205   275      0.203     -0.175   -122.047    122.047      0.000
  1087        -2   (ubar)             -71   710   710  1088  1102     0   205      0.463      0.719   -172.943    172.946      0.330
  1088      -513   (B*bar0)           -83  1077  1087  1649  1650     0     0    -15.101    -37.120   -124.475    130.875      5.325
  1089      -211   pi-                 83  1077  1087     0     0     0     0     -0.765     -2.032     -6.614      6.962      0.140
  1090       113   (rho0)             -83  1077  1087  1436  1437     0     0     -2.970     -8.352    -27.182     28.605      0.902
  1091       211   pi+                 83  1077  1087     0     0     0     0     -0.845     -2.693     -8.427      8.888      0.140
  1092       311   (K0)               -83  1077  1087  1438  1438     0     0     -2.604     -3.325    -16.031     16.585      0.498
  1093      -321   K-                  83  1077  1087     0     0     0     0     -0.753     -1.830     -7.608      7.877      0.494
  1094       211   pi+                 83  1077  1087     0     0     0     0     -0.153     -1.435     -5.766      5.945      0.140
  1095       223   (omega)            -83  1077  1087  1651  1652     0     0     -0.779     -1.598     -7.272      7.526      0.768
  1096      -213   (rho-)             -83  1077  1087  1439  1440     0     0     -0.850     -2.125     -8.494      8.833      0.795
  1097       323   (K*+)              -84  1077  1087  1441  1442     0     0     -0.524     -0.520     -8.478      8.558      0.897
  1098      -311   (Kbar0)            -84  1077  1087  1443  1443     0     0      0.213     -0.673     -5.186      5.258      0.498
  1099       113   (rho0)             -84  1077  1087  1444  1445     0     0     -0.347      1.238    -44.853     44.878      0.786
  1100      -211   pi-                 84  1077  1087     0     0     0     0     -0.196     -0.710    -39.014     39.021      0.140
  1101       213   (rho+)             -84  1077  1087  1446  1447     0     0      0.892      1.226   -228.877    228.884      0.884
  1102      -213   (rho-)             -84  1077  1087  1448  1449     0     0      0.252     -0.071    -96.488     96.491      0.751
  1103        21   (g)                -71   773   773  1123  1168   204   316     -0.214     -0.101     -0.984      1.012      0.000
  1104        21   (g)                -71   745   745  1123  1168   101   204      0.439      0.190    -25.827     25.832      0.000
  1105        21   (g)                -71   728   728  1123  1168   317   101      0.287      0.180      3.024      3.043      0.000
  1106        21   (g)                -71   971   971  1123  1168   216   317     -1.523      0.806     35.354     35.401      0.565
  1107        21   (g)                -71   696   696  1123  1168   265   216      0.314      1.273     16.202     16.255      0.000
  1108        21   (g)                -71   721   721  1123  1168   120   265      0.322      1.527     36.457     36.491      0.000
  1109        21   (g)                -71   760   760  1123  1168   236   120     -0.221      1.139      3.650      3.830      0.000
  1110        21   (g)                -71   744   744  1123  1168   181   236     -0.602     -0.043      1.958      2.049      0.000
  1111        21   (g)                -71   970   970  1123  1168   281   181     -3.880     -0.587      4.178      5.758      0.549
  1112        21   (g)                -71   767   767  1123  1168   292   281     -0.159     -0.015      1.314      1.324      0.000
  1113        21   (g)                -71   768   768  1123  1168   107   292     -0.464      0.377      0.403      0.721      0.000
  1114        21   (g)                -71   766   766  1123  1168   272   107      0.225     -0.141     -0.161      0.311      0.000
  1115        21   (g)                -71   738   738  1123  1168   245   272     -0.190      0.529     -0.935      1.091      0.000
  1116        21   (g)                -71   762   762  1123  1168   186   245      0.317     -0.531     -0.350      0.711      0.000
  1117        21   (g)                -71   747   747  1123  1168   148   186      1.492      0.079     -4.529      4.769      0.000
  1118        21   (g)                -71   968   968  1123  1168   242   148      0.879      0.248     -4.360      4.460      0.218
  1119        21   (g)                -71   969   969  1123  1168   299   242     -0.926      0.728     -8.103      8.198      0.403
  1120        21   (g)                -71   770   770  1123  1168   146   299     -0.032      0.126     -9.735      9.736      0.000
  1121        21   (g)                -71   732   732  1123  1168   183   146     -0.902     -0.827     -9.888      9.963      0.000
  1122        21   (g)                -71   751   751  1123  1168   316   183      0.053     -0.510    -13.369     13.378      0.000
  1123       211   pi+                 83  1103  1122     0     0     0     0      0.246     -0.273     -0.116      0.410      0.140
  1124      -213   (rho-)             -83  1103  1122  1450  1451     0     0     -0.189      0.739     -1.007      1.493      0.795
  1125       223   (omega)            -83  1103  1122  1653  1655     0     0     -0.071     -0.282      0.759      1.126      0.779
  1126       211   pi+                 83  1103  1122     0     0     0     0      0.197      0.014      0.301      0.386      0.140
  1127      2112   n0                  83  1103  1122     0     0     0     0     -0.146      0.132      1.441      1.732      0.940
  1128       111   (pi0)              -83  1103  1122  1656  1657     0     0     -0.116     -0.270      3.589      3.604      0.135
  1129     -3122   (Lambdabar0)       -83  1103  1122  1658  1659     0     0     -0.395      1.156     15.277     15.366      1.116
  1130      -321   K-                  83  1103  1122     0     0     0     0     -0.212      1.349     35.338     35.368      0.494
  1131       211   pi+                 83  1103  1122     0     0     0     0     -0.036      0.052      3.062      3.066      0.140
  1132       311   (K0)               -83  1103  1122  1452  1452     0     0     -0.142      0.069      4.795      4.823      0.498
  1133      -313   (K*bar0)           -83  1103  1122  1453  1454     0     0     -0.126      1.251     11.909     12.007      0.877
  1134       111   (pi0)              -83  1103  1122  1660  1661     0     0      0.245      0.269      5.079      5.094      0.135
  1135      -213   (rho-)             -83  1103  1122  1455  1456     0     0     -0.550     -0.228      3.521      3.640      0.703
  1136       213   (rho+)             -83  1103  1122  1457  1458     0     0     -0.327     -0.019      3.307      3.442      0.897
  1137      2112   n0                  83  1103  1122     0     0     0     0     -0.615      0.267      2.766      2.997      0.940
  1138       111   (pi0)              -83  1103  1122  1662  1663     0     0     -0.129     -0.102      2.755      2.763      0.135
  1139     -2112   nbar0               83  1103  1122     0     0     0     0     -0.395      0.873      2.781      3.088      0.940
  1140       313   (K*0)              -83  1103  1122  1459  1460     0     0     -1.388     -0.008      2.673      3.144      0.900
  1141      -321   K-                  83  1103  1122     0     0     0     0     -0.241     -0.578      0.215      0.826      0.494
  1142       211   pi+                 83  1103  1122     0     0     0     0     -0.621      0.290      0.583      0.911      0.140
  1143      -211   pi-                 83  1103  1122     0     0     0     0     -0.541     -0.247      0.183      0.637      0.140
  1144       111   (pi0)              -83  1103  1122  1664  1665     0     0      0.435      0.427      0.291      0.689      0.135
  1145       211   pi+                 83  1103  1122     0     0     0     0     -0.347     -0.324      0.136      0.513      0.140
  1146       223   (omega)            -83  1103  1122  1666  1667     0     0     -0.141      0.279     -0.418      0.944      0.786
  1147      -211   pi-                 84  1103  1122     0     0     0     0      0.723      0.209     -1.450      1.640      0.140
  1148       211   pi+                 84  1103  1122     0     0     0     0      0.371      0.372     -1.986      2.059      0.140
  1149       111   (pi0)              -84  1103  1122  1668  1669     0     0     -0.668     -0.504     -2.381      2.527      0.135
  1150       111   (pi0)              -84  1103  1122  1670  1671     0     0      0.277     -0.133     -2.141      2.167      0.135
  1151      2112   n0                  84  1103  1122     0     0     0     0      1.172      0.331     -3.348      3.684      0.940
  1152     -2212   pbar-               84  1103  1122     0     0     0     0     -0.300     -0.299     -9.227      9.284      0.938
  1153       211   pi+                 84  1103  1122     0     0     0     0      0.044      0.124     -0.691      0.717      0.140
  1154      -211   pi-                 84  1103  1122     0     0     0     0     -0.021      0.055     -1.993      1.999      0.140
  1155       111   (pi0)              -84  1103  1122  1672  1673     0     0      0.073     -0.018     -1.643      1.651      0.135
  1156       211   pi+                 84  1103  1122     0     0     0     0     -0.770      0.063     -7.638      7.678      0.140
  1157       111   (pi0)              -84  1103  1122  1674  1675     0     0      0.216      0.059     -2.692      2.705      0.135
  1158      -211   pi-                 84  1103  1122     0     0     0     0      0.034     -0.279     -4.047      4.059      0.140
  1159       211   pi+                 84  1103  1122     0     0     0     0     -0.301     -0.059     -9.395      9.402      0.140
  1160      -211   pi-                 84  1103  1122     0     0     0     0      0.184      0.061     -1.994      2.009      0.140
  1161       221   (eta)              -84  1103  1122  1676  1678     0     0     -0.168     -0.018     -6.591      6.615      0.548
  1162       111   (pi0)              -84  1103  1122  1679  1680     0     0     -0.331     -0.070     -3.837      3.854      0.135
  1163       211   pi+                 84  1103  1122     0     0     0     0      0.143     -0.204     -3.538      3.549      0.140
  1164      -211   pi-                 84  1103  1122     0     0     0     0      0.119     -0.117     -1.642      1.657      0.140
  1165       211   pi+                 84  1103  1122     0     0     0     0      0.003      0.134     -0.361      0.410      0.140
  1166      -213   (rho-)             -84  1103  1122  1461  1462     0     0     -0.145     -0.102     -5.781      5.835      0.771
  1167       213   (rho+)             -84  1103  1122  1463  1464     0     0      0.223     -0.035     -2.447      2.578      0.780
  1168      -211   pi-                 84  1103  1122     0     0     0     0     -0.057      0.044     -0.099      0.186      0.140
  1169         2   (u)                -71   712   712  1175  1192   103     0     -0.199      0.422    -67.684     67.686      0.330
  1170        21   (g)                -71   716   716  1175  1192   228   103      0.174      0.454   -206.627    206.627      0.000
  1171        21   (g)                -71   695   695  1175  1192   255   228      2.012      0.864   -674.756    674.759      0.000
  1172        21   (g)                -71   718   718  1175  1192   112   255      1.462     -0.157   -550.188    550.190      0.000
  1173        21   (g)                -71   917   917  1175  1192   312   112      0.871      0.813      7.884      7.977      0.214
  1174        -4   (cbar)             -71   863   863  1175  1192     0   312      1.018     -0.953     -0.360      2.079      1.500
  1175       211   pi+                 83  1169  1174     0     0     0     0     -0.028     -0.120    -34.333     34.333      0.140
  1176       111   (pi0)              -83  1169  1174  1681  1682     0     0      0.069      0.209    -69.119     69.119      0.135
  1177      -213   (rho-)             -83  1169  1174  1465  1466     0     0      0.897      0.873   -393.756    393.758      0.726
  1178       113   (rho0)             -83  1169  1174  1467  1468     0     0      0.790      0.260   -403.772    403.774      1.029
  1179       211   pi+                 83  1169  1174     0     0     0     0      0.499      0.401   -153.205    153.206      0.140
  1180      -211   pi-                 83  1169  1174     0     0     0     0      0.026     -0.174    -62.498     62.499      0.140
  1181       211   pi+                 83  1169  1174     0     0     0     0      1.117      0.045   -275.940    275.943      0.140
  1182      -213   (rho-)             -84  1169  1174  1469  1470     0     0      0.012      0.284    -29.616     29.623      0.576
  1183      2212   p+                  84  1169  1174     0     0     0     0     -0.110     -0.371    -49.948     49.958      0.938
  1184       213   (rho+)             -84  1169  1174  1471  1472     0     0     -0.270      0.289    -16.144     16.174      0.886
  1185     -2224   (Deltabar--)       -84  1169  1174  1473  1474     0     0      0.472     -0.143     -5.423      5.594      1.280
  1186       323   (K*+)              -84  1169  1174  1475  1476     0     0     -0.002      0.050     -5.145      5.222      0.893
  1187      -321   K-                  84  1169  1174     0     0     0     0      0.443      0.500      3.805      3.895      0.494
  1188       323   (K*+)              -84  1169  1174  1477  1478     0     0      0.130      0.131      0.605      1.091      0.889
  1189      -321   K-                  84  1169  1174     0     0     0     0     -0.182     -0.208      0.170      0.591      0.494
  1190       111   (pi0)              -84  1169  1174  1683  1684     0     0      0.234     -0.228      0.790      0.866      0.135
  1191       323   (K*+)              -84  1169  1174  1479  1480     0     0      0.438     -0.090      0.301      1.060      0.913
  1192      -431   (D_s-)             -84  1169  1174  1685  1686     0     0      0.803     -0.263      1.497      2.614      1.968
  1193         2   (u)                -71   908   908  1195  1205   159     0      0.537     -0.098    388.118    388.119      0.330
  1194        -1   (dbar)             -71   911   911  1195  1205     0   159      0.524     -0.346    -34.610     34.618      0.330
  1195       211   pi+                 83  1193  1194     0     0     0     0      0.545      0.181    211.134    211.135      0.140
  1196      -211   pi-                 83  1193  1194     0     0     0     0     -0.295     -0.262     87.346     87.347      0.140
  1197       111   (pi0)              -83  1193  1194  1687  1688     0     0      0.205      0.095     31.941     31.942      0.135
  1198       113   (rho0)             -83  1193  1194  1481  1482     0     0     -0.155     -0.198     34.933     34.965      1.471
  1199       213   (rho+)             -84  1193  1194  1483  1484     0     0      0.327      0.084     10.728     10.758      0.737
  1200      -213   (rho-)             -84  1193  1194  1485  1486     0     0      0.099      0.049      4.799      4.852      0.704
  1201       111   (pi0)              -84  1193  1194  1689  1690     0     0     -0.428      0.182      2.558      2.603      0.135
  1202       211   pi+                 84  1193  1194     0     0     0     0      0.072     -0.306      3.288      3.306      0.140
  1203       311   (K0)               -84  1193  1194  1487  1487     0     0      0.128      0.681      0.804      1.172      0.498
  1204       333   (phi)              -84  1193  1194  1691  1692     0     0     -0.041     -0.539     -0.780      1.392      1.018
  1205      -313   (K*bar0)           -84  1193  1194  1488  1489     0     0      0.603     -0.410    -33.243     33.264      0.920
  1206         1   (d)                -71   880   880  1208  1223   260     0     -0.342     -0.138    -18.583     18.590      0.330
  1207      2101   (ud_0)             -71   906   906  1208  1223     0   260      0.118     -0.582   2607.221   2607.221      0.579
  1208       223   (omega)            -83  1206  1207  1693  1695     0     0     -0.280     -0.109    -14.511     14.536      0.781
  1209       113   (rho0)             -83  1206  1207  1490  1491     0     0     -0.241     -0.063     -1.821      2.051      0.909
  1210      -213   (rho-)             -83  1206  1207  1492  1493     0     0      0.075      0.217     -1.108      1.365      0.764
  1211       113   (rho0)             -83  1206  1207  1494  1495     0     0      0.016      0.325     -0.089      0.844      0.774
  1212       211   pi+                 83  1206  1207     0     0     0     0     -0.105     -0.770      0.589      0.985      0.140
  1213      -211   pi-                 83  1206  1207     0     0     0     0     -0.097      0.351      0.740      0.837      0.140
  1214       211   pi+                 83  1206  1207     0     0     0     0      0.390     -0.093      0.448      0.617      0.140
  1215      1114   (Delta-)           -83  1206  1207  1496  1497     0     0     -0.282      0.204     10.192     10.316      1.558
  1216     -3112   (Sigmabar+)        -83  1206  1207  1696  1697     0     0      0.135     -0.488     17.793     17.840      1.197
  1217      -321   K-                  84  1206  1207     0     0     0     0      0.264      0.082     30.199     30.204      0.494
  1218       211   pi+                 84  1206  1207     0     0     0     0     -0.269      0.468     37.554     37.558      0.140
  1219      -213   (rho-)             -84  1206  1207  1498  1499     0     0     -0.042     -0.090    222.715    222.717      0.836
  1220       211   pi+                 84  1206  1207     0     0     0     0      0.311     -0.346    237.113    237.113      0.140
  1221      -211   pi-                 84  1206  1207     0     0     0     0     -0.533     -0.007    136.274    136.276      0.140
  1222       111   (pi0)              -84  1206  1207  1698  1699     0     0      0.624     -0.100    312.893    312.893      0.135
  1223      2212   p+                  84  1206  1207     0     0     0     0     -0.189     -0.301   1599.658   1599.659      0.938
  1224         3   (s)                -71   781   781  1254  1301   167     0     -0.398      0.163     -0.950      1.157      0.500
  1225        21   (g)                -71   779   779  1254  1301   264   167      1.150     -0.070     -2.636      2.877      0.000
  1226        21   (g)                -71   871   871  1254  1301   251   264      0.368     -0.368     -2.049      2.114      0.000
  1227        21   (g)                -71   902   902  1254  1301   258   251     -0.758     -2.406    -13.663     13.894      0.000
  1228        21   (g)                -71   929   929  1254  1301   209   258     -0.992     -1.086     -3.241      3.566      0.226
  1229        21   (g)                -71   927   927  1254  1301   142   209      0.021     -1.209     -1.993      2.340      0.206
  1230        21   (g)                -71   784   784  1254  1301   301   142      0.447     -0.686     -1.074      1.351      0.000
  1231        21   (g)                -71   932   932  1254  1301   252   301      1.054      0.247     -0.699      1.315      0.263
  1232        21   (g)                -71   928   928  1254  1301   261   252     -0.089      0.394     -1.161      1.249      0.221
  1233        21   (g)                -71   921   921  1254  1301   174   261     -1.086      0.269     -6.085      6.189      0.132
  1234        21   (g)                -71   931   931  1254  1301   122   174     -0.217     -1.961     -1.474      2.477      0.262
  1235        21   (g)                -71   933   933  1254  1301   270   122     -0.002     -2.084     -0.564      2.187      0.344
  1236        21   (g)                -71   777   777  1254  1301   111   270     -3.064     -1.803     -0.638      3.612      0.000
  1237        21   (g)                -71   923   923  1254  1301   199   111     -0.785     -0.752      0.511      1.211      0.162
  1238        21   (g)                -71   786   786  1254  1301   237   199     -0.524     -0.135     -0.069      0.545      0.000
  1239        21   (g)                -71   924   924  1254  1301   117   237     -1.078      0.151      0.734      1.324      0.172
  1240        21   (g)                -71   926   926  1254  1301   279   117     -0.940      0.177     -0.566      1.128      0.189
  1241        21   (g)                -71   922   922  1254  1301   158   279     -0.088      0.358     -0.097      0.406      0.141
  1242        21   (g)                -71   813   813  1254  1301   267   158      1.360     -0.935      1.513      2.239      0.000
  1243        21   (g)                -71   825   825  1254  1301   220   267      1.822     -1.330      5.829      6.250      0.000
  1244        21   (g)                -71   934   934  1254  1301   203   220      0.481     -2.594     11.802     12.098      0.346
  1245        21   (g)                -71   919   919  1254  1301   314   203      0.769      0.020     10.945     10.972      0.108
  1246        21   (g)                -71   832   832  1254  1301   285   314      0.251      0.083     19.484     19.486      0.000
  1247        21   (g)                -71   861   861  1254  1301   210   285     -0.257      0.474    147.304    147.305      0.000
  1248        21   (g)                -71   886   886  1254  1301   153   210     -1.229     -0.264    718.416    718.418      0.000
  1249        21   (g)                -71   848   848  1254  1301   135   153     -1.318     -1.423    641.025    641.028      0.000
  1250        21   (g)                -71   935   935  1254  1301   224   135     -0.610     -0.580    102.489    102.493      0.379
  1251        21   (g)                -71   851   851  1254  1301   253   224     -2.226      0.150    118.273    118.294      0.000
  1252        21   (g)                -71   868   868  1254  1301   139   253     -0.482      0.100     14.154     14.162      0.000
  1253        -1   (dbar)             -71   930   930  1254  1301     0   139     -0.487     -2.453     68.024     68.074      0.732
  1254      -311   (Kbar0)            -83  1224  1253  1500  1500     0     0      0.263     -0.087     -0.859      1.031      0.498
  1255       111   (pi0)              -83  1224  1253  1700  1701     0     0      0.142     -0.090     -0.283      0.356      0.135
  1256       223   (omega)            -83  1224  1253  1702  1704     0     0     -0.011     -0.071     -2.964      3.064      0.772
  1257       113   (rho0)             -83  1224  1253  1501  1502     0     0     -0.120     -0.057     -2.425      2.550      0.777
  1258      -211   pi-                 83  1224  1253     0     0     0     0      0.173     -1.197     -4.736      4.890      0.140
  1259       213   (rho+)             -83  1224  1253  1503  1504     0     0     -0.418     -0.816     -5.773      5.916      0.913
  1260       113   (rho0)             -83  1224  1253  1505  1506     0     0     -0.192     -1.407     -4.608      4.872      0.697
  1261      -213   (rho-)             -83  1224  1253  1507  1508     0     0      0.004     -0.885     -2.099      2.458      0.923
  1262       211   pi+                 83  1224  1253     0     0     0     0     -0.191     -0.058     -0.172      0.299      0.140
  1263      -211   pi-                 83  1224  1253     0     0     0     0      0.363     -0.328     -0.431      0.667      0.140
  1264       213   (rho+)             -83  1224  1253  1509  1510     0     0      0.377     -0.098     -2.238      2.556      1.172
  1265      -213   (rho-)             -83  1224  1253  1511  1512     0     0     -0.375     -0.382     -2.385      2.529      0.650
  1266       113   (rho0)             -83  1224  1253  1513  1514     0     0      0.418      0.281     -1.649      1.885      0.761
  1267       211   pi+                 83  1224  1253     0     0     0     0     -0.027     -0.041     -0.221      0.266      0.140
  1268       313   (K*0)              -83  1224  1253  1515  1516     0     0     -0.215     -0.109     -1.030      1.418      0.944
  1269      -321   K-                  83  1224  1253     0     0     0     0     -0.465     -0.476     -1.246      1.497      0.494
  1270      2212   p+                  83  1224  1253     0     0     0     0      0.287     -0.783     -1.006      1.609      0.938
  1271     -2212   pbar-               83  1224  1253     0     0     0     0     -0.936     -1.340     -1.066      2.165      0.938
  1272       211   pi+                 83  1224  1253     0     0     0     0     -0.532     -0.617     -0.505      0.968      0.140
  1273       111   (pi0)              -83  1224  1253  1705  1706     0     0     -0.077     -0.541     -0.525      0.770      0.135
  1274       111   (pi0)              -83  1224  1253  1707  1708     0     0     -1.119     -0.862      0.324      1.456      0.135
  1275       311   (K0)               -83  1224  1253  1517  1517     0     0     -0.200     -0.366      0.157      0.668      0.498
  1276      3122   (Lambda0)          -83  1224  1253  1709  1710     0     0     -2.381     -0.108     -0.199      2.639      1.116
  1277       111   (pi0)              -83  1224  1253  1711  1712     0     0     -0.270     -0.505      0.644      0.872      0.135
  1278     -2212   pbar-               83  1224  1253     0     0     0     0     -1.366     -0.119      0.184      1.671      0.938
  1279       211   pi+                 83  1224  1253     0     0     0     0      0.383     -0.325     -0.243      0.575      0.140
  1280       113   (rho0)             -84  1224  1253  1518  1519     0     0      1.167     -0.621      3.224      3.567      0.764
  1281       111   (pi0)              -84  1224  1253  1713  1714     0     0      0.287     -0.037      0.816      0.876      0.135
  1282      2112   n0                  84  1224  1253     0     0     0     0      0.666     -1.532      5.492      5.817      0.940
  1283     -2212   pbar-               84  1224  1253     0     0     0     0      0.782      0.291      4.057      4.247      0.938
  1284       211   pi+                 84  1224  1253     0     0     0     0      0.273     -1.599     12.115     12.224      0.140
  1285       223   (omega)            -84  1224  1253  1715  1717     0     0      0.476     -0.190     11.356     11.395      0.787
  1286      -211   pi-                 84  1224  1253     0     0     0     0      0.078     -0.266      1.762      1.789      0.140
  1287       323   (K*+)              -84  1224  1253  1520  1521     0     0     -0.181     -0.288     18.774     18.801      0.952
  1288      -321   K-                  84  1224  1253     0     0     0     0      0.142      0.188     37.478     37.482      0.494
  1289       211   pi+                 84  1224  1253     0     0     0     0     -0.096      0.340     51.093     51.095      0.140
  1290       111   (pi0)              -84  1224  1253  1718  1719     0     0     -0.090     -0.265     10.273     10.278      0.135
  1291      -211   pi-                 84  1224  1253     0     0     0     0      0.036      0.255     37.940     37.941      0.140
  1292      2212   p+                  84  1224  1253     0     0     0     0      0.111     -0.416    195.119    195.122      0.938
  1293       113   (rho0)             -84  1224  1253  1522  1523     0     0     -0.246     -0.014    217.769    217.771      0.757
  1294     -2114   (Deltabar0)        -84  1224  1253  1524  1525     0     0     -1.764     -0.556    642.298    642.302      1.523
  1295      -213   (rho-)             -84  1224  1253  1526  1527     0     0     -0.368     -0.486    238.661    238.663      0.794
  1296       223   (omega)            -84  1224  1253  1720  1722     0     0     -1.654     -0.005    142.918    142.930      0.784
  1297       213   (rho+)             -84  1224  1253  1528  1529     0     0     -0.340     -0.436     44.338     44.347      0.711
  1298      -213   (rho-)             -84  1224  1253  1530  1531     0     0     -0.305     -0.806     70.969     70.983      1.111
  1299       213   (rho+)             -84  1224  1253  1532  1533     0     0     -0.286     -1.253     59.843     59.863      0.846
  1300       113   (rho0)             -84  1224  1253  1534  1535     0     0     -1.104     -0.293     49.125     49.145      0.814
  1301       111   (pi0)              -84  1224  1253  1723  1724     0     0     -0.005     -0.182      3.474      3.481      0.135
  1302         3   (s)                -71   837   837  1311  1331   132     0      0.961      3.903     73.410     73.522      0.500
  1303        21   (g)                -71   949   949  1311  1331   263   132     -0.757     -0.550     10.739     10.781      0.169
  1304        21   (g)                -71   951   951  1311  1331   193   263     -0.771     -0.723      3.776      3.930      0.267
  1305        21   (g)                -71   953   953  1311  1331   137   193     -0.936      0.038      3.650      3.783      0.327
  1306        21   (g)                -71   828   828  1311  1331   126   137     -1.537      3.174      9.016      9.681      0.000
  1307        21   (g)                -71   954   954  1311  1331   143   126     -2.233      2.459      6.392      7.223      0.523
  1308        21   (g)                -71   952   952  1311  1331   124   143      0.481      1.347      2.999      3.335      0.287
  1309        21   (g)                -71   822   822  1311  1331   123   124      0.082      1.419      5.089      5.284      0.000
  1310      2101   (ud_0)             -71   909   909  1311  1331     0   123      1.213     -0.132  -2020.435   2020.435      0.579
  1311      -313   (K*bar0)           -83  1302  1310  1536  1537     0     0      0.717      2.547     52.113     52.187      0.875
  1312       111   (pi0)              -83  1302  1310  1725  1726     0     0      0.439      1.073     15.490     15.534      0.135
  1313       113   (rho0)             -83  1302  1310  1538  1539     0     0     -0.832     -0.143     10.350     10.439      1.067
  1314      -213   (rho-)             -83  1302  1310  1540  1541     0     0     -1.147      0.332      9.452      9.562      0.823
  1315       211   pi+                 83  1302  1310     0     0     0     0     -0.084     -0.093      0.103      0.214      0.140
  1316       113   (rho0)             -83  1302  1310  1542  1543     0     0     -0.352     -0.436      3.721      3.870      0.900
  1317       311   (K0)               -83  1302  1310  1544  1544     0     0     -1.197      1.409      5.501      5.825      0.498
  1318      -313   (K*bar0)           -83  1302  1310  1545  1546     0     0     -1.418      2.397      6.543      7.196      1.104
  1319      -211   pi-                 83  1302  1310     0     0     0     0     -0.342      0.309      1.091      1.193      0.140
  1320      2212   p+                  83  1302  1310     0     0     0     0     -0.824      1.495      3.831      4.298      0.938
  1321     -2112   nbar0               84  1302  1310     0     0     0     0      0.449      0.821      3.644      3.878      0.940
  1322       223   (omega)            -84  1302  1310  1727  1729     0     0      0.030      0.618      1.505      1.787      0.738
  1323      -211   pi-                 84  1302  1310     0     0     0     0      0.299      0.611      1.243      1.424      0.140
  1324       113   (rho0)             -84  1302  1310  1547  1548     0     0     -0.387      0.064     -3.280      3.398      0.797
  1325       111   (pi0)              -84  1302  1310  1730  1731     0     0      0.010      0.060     -0.022      0.150      0.135
  1326       213   (rho+)             -84  1302  1310  1549  1550     0     0     -0.046     -0.203     -2.039      2.222      0.860
  1327       113   (rho0)             -84  1302  1310  1551  1552     0     0     -0.125      0.658     -3.404      3.560      0.800
  1328      -213   (rho-)             -84  1302  1310  1553  1554     0     0      0.324     -0.813    -55.429     55.445      0.984
  1329       113   (rho0)             -84  1302  1310  1555  1556     0     0     -0.674      0.420    -47.147     47.159      0.676
  1330       211   pi+                 84  1302  1310     0     0     0     0      0.929     -0.076   -457.213    457.214      0.140
  1331      2112   n0                  84  1302  1310     0     0     0     0      0.733     -0.117  -1451.417   1451.418      0.940
  1332         1   (d)                -71   806   806  1356  1390   188     0     -0.503     -0.738    -39.507     39.518      0.330
  1333        21   (g)                -71   937   937  1356  1390   246   188     -2.782     -0.102   -100.675    100.713      0.202
  1334        21   (g)                -71   943   943  1356  1390   160   246     -0.319     -0.286    -28.737     28.744      0.440
  1335        21   (g)                -71   792   792  1356  1390   309   160      0.978     -0.627    -19.973     20.006      0.000
  1336        21   (g)                -71   780   780  1356  1390   115   309      0.552     -0.353    -37.555     37.561      0.000
  1337        21   (g)                -71   938   938  1356  1390   266   115      2.272      0.162   -138.511    138.529      0.208
  1338        21   (g)                -71   758   758  1356  1390   109   266      2.534      0.005   -237.260    237.274      0.000
  1339        21   (g)                -71   735   735  1356  1390   169   109     -0.559      0.915     -4.292      4.424      0.000
  1340        21   (g)                -71   764   764  1356  1390   257   169     -0.628      0.821     -9.040      9.099      0.000
  1341        21   (g)                -71   939   939  1356  1390   229   257     -0.390      0.471     -1.522      1.654      0.213
  1342        21   (g)                -71   754   754  1356  1390   221   229      0.426     -0.469     -1.739      1.851      0.000
  1343        21   (g)                -71   757   757  1356  1390   230   221     -0.175     -0.857     -0.580      1.050      0.000
  1344        21   (g)                -71   945   945  1356  1390   235   230      0.234      0.763     -1.564      1.848      0.575
  1345        21   (g)                -71   941   941  1356  1390   177   235      0.017     -0.234      0.435      0.619      0.374
  1346        21   (g)                -71   731   731  1356  1390   307   177     -0.748      0.488      0.659      1.110      0.000
  1347        21   (g)                -71   942   942  1356  1390   254   307     -1.382      0.040      0.165      1.458      0.432
  1348        21   (g)                -71   750   750  1356  1390   106   254      0.297      0.239     -0.042      0.383      0.000
  1349        21   (g)                -71   736   736  1356  1390   133   106      1.231      0.369     23.038     23.074      0.000
  1350        21   (g)                -71   772   772  1356  1390   313   133      0.383     -0.225     16.176     16.182      0.000
  1351        21   (g)                -71   742   742  1356  1390   322   313     -0.181     -0.055     32.072     32.072      0.000
  1352        21   (g)                -71   774   774  1356  1390   218   322      0.897      0.130    101.463    101.467      0.000
  1353        21   (g)                -71   940   940  1356  1390   294   218      1.910     -0.290    153.514    153.527      0.220
  1354        21   (g)                -71   944   944  1356  1390   149   294      0.614      0.549    200.943    200.945      0.512
  1355        -1   (dbar)             -71   824   824  1356  1390     0   149     -1.368     -2.913    683.574    683.582      0.330
  1356      -213   (rho-)             -83  1332  1355  1557  1558     0     0     -1.320     -0.800    -68.531     68.558      1.095
  1357       111   (pi0)              -83  1332  1355  1732  1733     0     0     -1.925     -0.331    -83.710     83.733      0.135
  1358       221   (eta)              -83  1332  1355  1734  1736     0     0     -0.298     -0.453    -12.006     12.031      0.548
  1359       111   (pi0)              -83  1332  1355  1737  1738     0     0      1.146      0.020    -51.575     51.588      0.135
  1360       323   (K*+)              -83  1332  1355  1559  1560     0     0      2.331     -0.129   -163.292    163.311      0.937
  1361      -311   (Kbar0)            -83  1332  1355  1561  1561     0     0      0.203     -0.046    -18.445     18.453      0.498
  1362       111   (pi0)              -83  1332  1355  1739  1740     0     0      0.654     -0.154    -74.541     74.544      0.135
  1363      -211   pi-                 83  1332  1355     0     0     0     0      1.334      0.181    -77.654     77.666      0.140
  1364       213   (rho+)             -83  1332  1355  1562  1563     0     0      0.533     -0.003    -23.080     23.091      0.452
  1365       111   (pi0)              -83  1332  1355  1741  1742     0     0      0.452     -0.316    -25.293     25.300      0.135
  1366      -213   (rho-)             -83  1332  1355  1564  1565     0     0     -1.168      0.720    -10.623     10.739      0.769
  1367       321   K+                  83  1332  1355     0     0     0     0      0.205      0.210     -1.482      1.590      0.494
  1368      -311   (Kbar0)            -83  1332  1355  1566  1566     0     0     -0.309      0.274     -2.384      2.471      0.498
  1369       113   (rho0)             -83  1332  1355  1567  1568     0     0      0.044      0.338     -3.350      3.440      0.701
  1370      -211   pi-                 83  1332  1355     0     0     0     0     -0.381      0.247     -0.644      0.801      0.140
  1371       223   (omega)            -83  1332  1355  1743  1745     0     0      0.315      0.429     -1.994      2.206      0.778
  1372       323   (K*+)              -83  1332  1355  1569  1570     0     0     -0.569     -0.368     -0.013      1.117      0.888
  1373      -323   (K*-)              -83  1332  1355  1571  1572     0     0      0.008     -0.469     -1.380      1.716      0.905
  1374       213   (rho+)             -83  1332  1355  1573  1574     0     0     -0.301      0.693     -0.401      1.212      0.859
  1375      -211   pi-                 83  1332  1355     0     0     0     0      0.293      0.054     -0.039      0.331      0.140
  1376       211   pi+                 84  1332  1355     0     0     0     0     -1.568      0.084      0.959      1.846      0.140
  1377       111   (pi0)              -84  1332  1355  1746  1747     0     0      0.052      0.037      0.263      0.302      0.135
  1378      -211   pi-                 84  1332  1355     0     0     0     0      0.275     -0.210      0.605      0.711      0.140
  1379       211   pi+                 84  1332  1355     0     0     0     0     -0.049      0.312      4.237      4.251      0.140
  1380       111   (pi0)              -84  1332  1355  1748  1749     0     0     -0.027      0.056      2.019      2.024      0.135
  1381      2114   (Delta0)           -84  1332  1355  1575  1576     0     0      0.391     -0.330      5.272      5.429      1.190
  1382       111   (pi0)              -84  1332  1355  1750  1751     0     0      0.050      0.489      2.746      2.793      0.135
  1383     -2112   nbar0               84  1332  1355     0     0     0     0      0.286     -0.002     18.603     18.629      0.940
  1384       111   (pi0)              -84  1332  1355  1752  1753     0     0      1.418     -0.205     91.972     91.983      0.135
  1385      -211   pi-                 84  1332  1355     0     0     0     0      0.132     -0.043      8.456      8.458      0.140
  1386       111   (pi0)              -84  1332  1355  1754  1755     0     0      0.428      0.154     26.403     26.407      0.135
  1387       211   pi+                 84  1332  1355     0     0     0     0      0.125     -0.338    236.532    236.533      0.140
  1388       113   (rho0)             -84  1332  1355  1577  1578     0     0      0.542      0.052    129.032    129.036      0.881
  1389       223   (omega)            -84  1332  1355  1756  1757     0     0      0.797      0.107    127.188    127.193      0.788
  1390       113   (rho0)             -84  1332  1355  1579  1580     0     0     -0.791     -2.459    557.195    557.202      1.061
  1391       310   (K_S0)             -91   975   975  1758  1759     0     0     -0.021      0.745      9.780      9.821      0.498
  1392      -211   pi-                 91   995     0     0     0     0     0     -0.170      0.571      0.196      0.643      0.140
  1393       111   (pi0)              -91   995     0  1760  1761     0     0      0.129     -0.158      0.394      0.464      0.135
  1394       211   pi+                 91   996     0     0     0     0     0      0.032     -0.153     -0.275      0.346      0.140
  1395       111   (pi0)              -91   996     0  1762  1763     0     0      0.230      0.590     -0.150      0.665      0.135
  1396      -211   pi-                 91   999     0     0     0     0     0      0.019      0.819     -1.209      1.467      0.140
  1397       111   (pi0)              -91   999     0  1764  1765     0     0      0.419      0.142     -0.052      0.466      0.135
  1398       130   K_L0                91  1006  1006     0     0     0     0     -0.784      2.314      1.170      2.754      0.498
  1399       310   (K_S0)             -91  1007  1007  1766  1767     0     0      0.092      1.143      0.962      1.578      0.498
  1400       211   pi+                 91  1014     0     0     0     0     0      0.564      0.644     59.092     59.099      0.140
  1401      -211   pi-                 91  1014     0     0     0     0     0     -0.027      0.420     53.596     53.598      0.140
  1402       130   K_L0                91  1016  1016     0     0     0     0     -0.276      0.157      1.732      1.830      0.498
  1403      -311   (Kbar0)            -91  1017     0  1581  1581     0     0     -0.173      0.218     -0.018      0.570      0.498
  1404      -211   pi-                 91  1017     0     0     0     0     0      0.041     -0.258      0.347      0.457      0.140
  1405       211   pi+                 91  1026     0     0     0     0     0      0.366     -0.654     -1.371      1.568      0.140
  1406      -211   pi-                 91  1026     0     0     0     0     0      0.016      0.121     -1.083      1.098      0.140
  1407       211   pi+                 91  1034     0     0     0     0     0      0.302      0.030    -43.035     43.036      0.140
  1408       111   (pi0)              -91  1034     0  1768  1769     0     0      0.546      1.287    -33.840     33.869      0.135
  1409       211   pi+                 91  1036     0     0     0     0     0      0.876      0.612     -6.090      6.184      0.140
  1410      -211   pi-                 91  1036     0     0     0     0     0     -0.002      0.011     -2.313      2.317      0.140
  1411       311   (K0)               -91  1037     0  1582  1582     0     0      0.159      0.617     -8.444      8.482      0.498
  1412       211   pi+                 91  1037     0     0     0     0     0     -0.027      0.093     -0.391      0.426      0.140
  1413      -211   pi-                 91  1042     0     0     0     0     0      0.507     -0.145     10.820     10.834      0.140
  1414       111   (pi0)              -91  1042     0  1770  1771     0     0     -0.293     -0.030      7.163      7.170      0.135
  1415      -211   pi-                 91  1045     0     0     0     0     0      0.143     -0.170      0.176      0.316      0.140
  1416       111   (pi0)              -91  1045     0  1772  1773     0     0      0.018      0.347      2.142      2.174      0.135
  1417      -211   pi-                 91  1047     0     0     0     0     0     -0.026      5.959      2.274      6.379      0.140
  1418       111   (pi0)              -91  1047     0  1774  1775     0     0      0.270      0.932      0.347      1.040      0.135
  1419      -311   (Kbar0)            -91  1051     0  1583  1583     0     0      0.530     -0.160   -262.679    262.680      0.498
  1420       111   (pi0)              -91  1051     0  1776  1777     0     0     -0.167     -0.054    -94.926     94.926      0.135
  1421       211   pi+                 91  1054     0     0     0     0     0     -0.515     -0.009    -17.442     17.450      0.140
  1422      -211   pi-                 91  1054     0     0     0     0     0      0.209     -0.141     -4.516      4.525      0.140
  1423       310   (K_S0)             -91  1055  1055  1778  1779     0     0      0.179     -0.160     -3.999      4.037      0.498
  1424       211   pi+                 91  1069     0     0     0     0     0      0.493      1.041      9.549      9.619      0.140
  1425       111   (pi0)              -91  1069     0  1780  1781     0     0      0.369     -0.265      2.060      2.114      0.135
  1426       211   pi+                 91  1070     0     0     0     0     0      0.690      0.605      0.581      1.096      0.140
  1427      -211   pi-                 91  1070     0     0     0     0     0      2.488      1.909      3.674      4.832      0.140
  1428       211   pi+                 91  1071     0     0     0     0     0      1.225      0.828      0.040      1.485      0.140
  1429      -211   pi-                 91  1071     0     0     0     0     0      1.685      0.559      1.267      2.186      0.140
  1430      2112   n0                  91  1072     0     0     0     0     0      0.474      0.784      0.148      1.321      0.940
  1431       111   (pi0)              -91  1072     0  1782  1783     0     0      0.552      0.327      0.322      0.731      0.135
  1432       211   pi+                 91  1073     0     0     0     0     0     -0.033      0.122     -0.064      0.199      0.140
  1433       111   (pi0)              -91  1073     0  1784  1785     0     0      0.095     -0.401     -0.654      0.784      0.135
  1434     -2212   pbar-               91  1074     0     0     0     0     0      0.008      0.389     -5.745      5.834      0.938
  1435      -211   pi-                 91  1074     0     0     0     0     0     -0.387     -0.093     -2.871      2.902      0.140
  1436       211   pi+                 91  1090     0     0     0     0     0     -2.274     -5.926    -20.516     21.476      0.140
  1437      -211   pi-                 91  1090     0     0     0     0     0     -0.696     -2.427     -6.666      7.129      0.140
  1438       310   (K_S0)             -91  1092  1092  1786  1787     0     0     -2.604     -3.325    -16.031     16.585      0.498
  1439      -211   pi-                 91  1096     0     0     0     0     0     -0.617     -1.137     -3.479      3.714      0.140
  1440       111   (pi0)              -91  1096     0  1788  1789     0     0     -0.233     -0.988     -5.015      5.119      0.135
  1441       311   (K0)               -91  1097     0  1584  1584     0     0     -0.200     -0.274     -6.741      6.768      0.498
  1442       211   pi+                 91  1097     0     0     0     0     0     -0.323     -0.246     -1.737      1.790      0.140
  1443       130   K_L0                91  1098  1098     0     0     0     0      0.213     -0.673     -5.186      5.258      0.498
  1444       211   pi+                 91  1099     0     0     0     0     0     -0.451      0.993    -40.496     40.511      0.140
  1445      -211   pi-                 91  1099     0     0     0     0     0      0.105      0.245     -4.356      4.367      0.140
  1446       211   pi+                 91  1101     0     0     0     0     0      0.743      0.966   -120.696    120.703      0.140
  1447       111   (pi0)              -91  1101     0  1790  1791     0     0      0.149      0.261   -108.181    108.182      0.135
  1448      -211   pi-                 91  1102     0     0     0     0     0      0.271      0.169    -21.969     21.972      0.140
  1449       111   (pi0)              -91  1102     0  1792  1793     0     0     -0.019     -0.240    -74.519     74.519      0.135
  1450      -211   pi-                 91  1124     0     0     0     0     0     -0.309      0.007     -0.227      0.408      0.140
  1451       111   (pi0)              -91  1124     0  1794  1795     0     0      0.120      0.732     -0.780      1.085      0.135
  1452       130   K_L0                91  1132  1132     0     0     0     0     -0.142      0.069      4.795      4.823      0.498
  1453      -321   K-                  91  1133     0     0     0     0     0     -0.322      1.097      9.931     10.009      0.494
  1454       211   pi+                 91  1133     0     0     0     0     0      0.196      0.154      1.978      1.998      0.140
  1455      -211   pi-                 91  1135     0     0     0     0     0     -0.391      0.185      1.571      1.636      0.140
  1456       111   (pi0)              -91  1135     0  1796  1797     0     0     -0.159     -0.412      1.950      2.004      0.135
  1457       211   pi+                 91  1136     0     0     0     0     0      0.122      0.324      1.187      1.245      0.140
  1458       111   (pi0)              -91  1136     0  1798  1799     0     0     -0.448     -0.343      2.120      2.198      0.135
  1459       321   K+                  91  1140     0     0     0     0     0     -0.652     -0.190      1.031      1.329      0.494
  1460      -211   pi-                 91  1140     0     0     0     0     0     -0.736      0.182      1.642      1.814      0.140
  1461      -211   pi-                 91  1166     0     0     0     0     0     -0.228     -0.290     -1.642      1.688      0.140
  1462       111   (pi0)              -91  1166     0  1800  1801     0     0      0.082      0.188     -4.139      4.147      0.135
  1463       211   pi+                 91  1167     0     0     0     0     0      0.335     -0.313     -1.341      1.424      0.140
  1464       111   (pi0)              -91  1167     0  1802  1803     0     0     -0.113      0.278     -1.107      1.154      0.135
  1465      -211   pi-                 91  1177     0     0     0     0     0      0.397     -0.012   -109.026    109.026      0.140
  1466       111   (pi0)              -91  1177     0  1804  1805     0     0      0.501      0.885   -284.730    284.732      0.135
  1467       211   pi+                 91  1178     0     0     0     0     0      0.413     -0.052   -334.897    334.898      0.140
  1468      -211   pi-                 91  1178     0     0     0     0     0      0.377      0.312    -68.875     68.877      0.140
  1469      -211   pi-                 91  1182     0     0     0     0     0     -0.047      0.414    -18.376     18.381      0.140
  1470       111   (pi0)              -91  1182     0  1806  1807     0     0      0.059     -0.130    -11.240     11.242      0.135
  1471       211   pi+                 91  1184     0     0     0     0     0      0.116      0.214     -1.690      1.713      0.140
  1472       111   (pi0)              -91  1184     0  1808  1809     0     0     -0.386      0.075    -14.454     14.460      0.135
  1473     -2212   pbar-               91  1185     0     0     0     0     0      0.409     -0.377     -4.243      4.381      0.938
  1474      -211   pi-                 91  1185     0     0     0     0     0      0.064      0.234     -1.180      1.213      0.140
  1475       311   (K0)               -91  1186     0  1585  1585     0     0     -0.024     -0.249     -2.900      2.953      0.498
  1476       211   pi+                 91  1186     0     0     0     0     0      0.022      0.299     -2.245      2.269      0.140
  1477       311   (K0)               -91  1188     0  1586  1586     0     0      0.316      0.129      0.222      0.643      0.498
  1478       211   pi+                 91  1188     0     0     0     0     0     -0.186      0.002      0.383      0.448      0.140
  1479       311   (K0)               -91  1191     0  1587  1587     0     0      0.189     -0.205      0.442      0.722      0.498
  1480       211   pi+                 91  1191     0     0     0     0     0      0.249      0.115     -0.141      0.338      0.140
  1481       211   pi+                 91  1198     0     0     0     0     0     -0.092     -0.770     13.001     13.025      0.140
  1482      -211   pi-                 91  1198     0     0     0     0     0     -0.063      0.572     21.932     21.940      0.140
  1483       211   pi+                 91  1199     0     0     0     0     0      0.531      0.003      7.746      7.765      0.140
  1484       111   (pi0)              -91  1199     0  1810  1811     0     0     -0.204      0.081      2.982      2.993      0.135
  1485      -211   pi-                 91  1200     0     0     0     0     0     -0.111     -0.096      3.945      3.950      0.140
  1486       111   (pi0)              -91  1200     0  1812  1813     0     0      0.210      0.145      0.854      0.902      0.135
  1487       130   K_L0                91  1203  1203     0     0     0     0      0.128      0.681      0.804      1.172      0.498
  1488      -311   (Kbar0)            -91  1205     0  1588  1588     0     0      0.421     -0.001    -24.030     24.039      0.498
  1489       111   (pi0)              -91  1205     0  1814  1815     0     0      0.183     -0.409     -9.213      9.225      0.135
  1490       211   pi+                 91  1209     0     0     0     0     0      0.091      0.038     -1.613      1.622      0.140
  1491      -211   pi-                 91  1209     0     0     0     0     0     -0.333     -0.101     -0.208      0.429      0.140
  1492      -211   pi-                 91  1210     0     0     0     0     0      0.288      0.190     -0.200      0.423      0.140
  1493       111   (pi0)              -91  1210     0  1816  1817     0     0     -0.213      0.027     -0.908      0.942      0.135
  1494       211   pi+                 91  1211     0     0     0     0     0     -0.182     -0.071      0.187      0.304      0.140
  1495      -211   pi-                 91  1211     0     0     0     0     0      0.198      0.396     -0.276      0.540      0.140
  1496      2112   n0                  91  1215     0     0     0     0     0     -0.238      0.528      5.434      5.545      0.940
  1497      -211   pi-                 91  1215     0     0     0     0     0     -0.044     -0.324      4.758      4.771      0.140
  1498      -211   pi-                 91  1219     0     0     0     0     0      0.150      0.262    149.335    149.335      0.140
  1499       111   (pi0)              -91  1219     0  1818  1819     0     0     -0.192     -0.352     73.380     73.381      0.135
  1500       130   K_L0                91  1254  1254     0     0     0     0      0.263     -0.087     -0.859      1.031      0.498
  1501       211   pi+                 91  1257     0     0     0     0     0     -0.191      0.227     -1.932      1.959      0.140
  1502      -211   pi-                 91  1257     0     0     0     0     0      0.071     -0.284     -0.493      0.590      0.140
  1503       211   pi+                 91  1259     0     0     0     0     0     -0.333     -0.216     -0.793      0.897      0.140
  1504       111   (pi0)              -91  1259     0  1820  1821     0     0     -0.085     -0.600     -4.980      5.019      0.135
  1505       211   pi+                 91  1260     0     0     0     0     0      0.206     -0.279     -1.242      1.297      0.140
  1506      -211   pi-                 91  1260     0     0     0     0     0     -0.398     -1.128     -3.366      3.575      0.140
  1507      -211   pi-                 91  1261     0     0     0     0     0     -0.307     -0.124     -1.099      1.156      0.140
  1508       111   (pi0)              -91  1261     0  1822  1823     0     0      0.311     -0.761     -1.001      1.302      0.135
  1509       211   pi+                 91  1264     0     0     0     0     0      0.242     -0.050      0.025      0.285      0.140
  1510       111   (pi0)              -91  1264     0  1824  1825     0     0      0.135     -0.048     -2.262      2.271      0.135
  1511      -211   pi-                 91  1265     0     0     0     0     0     -0.311     -0.526     -1.928      2.027      0.140
  1512       111   (pi0)              -91  1265     0  1826  1827     0     0     -0.063      0.144     -0.457      0.502      0.135
  1513       211   pi+                 91  1266     0     0     0     0     0      0.459     -0.109     -0.987      1.103      0.140
  1514      -211   pi-                 91  1266     0     0     0     0     0     -0.041      0.390     -0.661      0.782      0.140
  1515       321   K+                  91  1268     0     0     0     0     0     -0.108     -0.208     -1.079      1.210      0.494
  1516      -211   pi-                 91  1268     0     0     0     0     0     -0.107      0.099      0.049      0.208      0.140
  1517       130   K_L0                91  1275  1275     0     0     0     0     -0.200     -0.366      0.157      0.668      0.498
  1518       211   pi+                 91  1280     0     0     0     0     0      0.022      0.074      0.561      0.583      0.140
  1519      -211   pi-                 91  1280     0     0     0     0     0      1.145     -0.694      2.663      2.984      0.140
  1520       311   (K0)               -91  1287     0  1589  1589     0     0      0.098     -0.068      6.101      6.122      0.498
  1521       211   pi+                 91  1287     0     0     0     0     0     -0.279     -0.220     12.673     12.679      0.140
  1522       211   pi+                 91  1293     0     0     0     0     0      0.053      0.009    178.407    178.407      0.140
  1523      -211   pi-                 91  1293     0     0     0     0     0     -0.299     -0.023     39.362     39.364      0.140
  1524     -2112   nbar0               91  1294     0     0     0     0     0     -1.168      0.096    409.075    409.078      0.940
  1525       111   (pi0)              -91  1294     0  1828  1829     0     0     -0.595     -0.652    233.222    233.224      0.135
  1526      -211   pi-                 91  1295     0     0     0     0     0     -0.419     -0.182     64.168     64.170      0.140
  1527       111   (pi0)              -91  1295     0  1830  1831     0     0      0.050     -0.304    174.493    174.494      0.135
  1528       211   pi+                 91  1297     0     0     0     0     0      0.093      0.035      3.769      3.772      0.140
  1529       111   (pi0)              -91  1297     0  1832  1833     0     0     -0.433     -0.470     40.570     40.575      0.135
  1530      -211   pi-                 91  1298     0     0     0     0     0     -0.354     -0.244     57.127     57.129      0.140
  1531       111   (pi0)              -91  1298     0  1834  1835     0     0      0.049     -0.562     13.842     13.854      0.135
  1532       211   pi+                 91  1299     0     0     0     0     0     -0.142     -0.611     13.869     13.883      0.140
  1533       111   (pi0)              -91  1299     0  1836  1837     0     0     -0.144     -0.643     45.974     45.979      0.135
  1534       211   pi+                 91  1300     0     0     0     0     0     -0.743     -0.025     40.588     40.595      0.140
  1535      -211   pi-                 91  1300     0     0     0     0     0     -0.361     -0.268      8.537      8.550      0.140
  1536      -321   K-                  91  1311     0     0     0     0     0      0.510      1.121     27.383     27.415      0.494
  1537       211   pi+                 91  1311     0     0     0     0     0      0.207      1.426     24.730     24.772      0.140
  1538       211   pi+                 91  1313     0     0     0     0     0     -0.059     -0.248      6.594      6.600      0.140
  1539      -211   pi-                 91  1313     0     0     0     0     0     -0.773      0.105      3.756      3.839      0.140
  1540      -211   pi-                 91  1314     0     0     0     0     0     -0.544     -0.236      4.206      4.249      0.140
  1541       111   (pi0)              -91  1314     0  1838  1839     0     0     -0.603      0.568      5.246      5.313      0.135
  1542       211   pi+                 91  1316     0     0     0     0     0     -0.574     -0.328      1.719      1.847      0.140
  1543      -211   pi-                 91  1316     0     0     0     0     0      0.222     -0.108      2.002      2.022      0.140
  1544       130   K_L0                91  1317  1317     0     0     0     0     -1.197      1.409      5.501      5.825      0.498
  1545      -311   (Kbar0)            -91  1318     0  1590  1590     0     0     -0.534      1.735      4.201      4.603      0.498
  1546       111   (pi0)              -91  1318     0  1840  1841     0     0     -0.884      0.663      2.342      2.593      0.135
  1547       211   pi+                 91  1324     0     0     0     0     0      0.046     -0.048     -2.366      2.371      0.140
  1548      -211   pi-                 91  1324     0     0     0     0     0     -0.433      0.112     -0.914      1.027      0.140
  1549       211   pi+                 91  1326     0     0     0     0     0      0.013     -0.517     -1.307      1.412      0.140
  1550       111   (pi0)              -91  1326     0  1842  1843     0     0     -0.059      0.314     -0.732      0.810      0.135
  1551       211   pi+                 91  1327     0     0     0     0     0      0.028     -0.094     -0.202      0.265      0.140
  1552      -211   pi-                 91  1327     0     0     0     0     0     -0.153      0.753     -3.202      3.295      0.140
  1553      -211   pi-                 91  1328     0     0     0     0     0      0.386     -0.891    -31.983     31.998      0.140
  1554       111   (pi0)              -91  1328     0  1844  1845     0     0     -0.062      0.078    -23.446     23.447      0.135
  1555       211   pi+                 91  1329     0     0     0     0     0     -0.634      0.096    -35.688     35.694      0.140
  1556      -211   pi-                 91  1329     0     0     0     0     0     -0.040      0.324    -11.459     11.464      0.140
  1557      -211   pi-                 91  1356     0     0     0     0     0     -1.080     -0.055    -36.471     36.487      0.140
  1558       111   (pi0)              -91  1356     0  1846  1847     0     0     -0.241     -0.745    -32.061     32.071      0.135
  1559       311   (K0)               -91  1360     0  1591  1591     0     0      1.927      0.149   -135.532    135.547      0.498
  1560       211   pi+                 91  1360     0     0     0     0     0      0.405     -0.278    -27.759     27.764      0.140
  1561       310   (K_S0)             -91  1361  1361  1848  1849     0     0      0.203     -0.046    -18.445     18.453      0.498
  1562       211   pi+                 91  1364     0     0     0     0     0      0.131      0.091     -3.984      3.989      0.140
  1563       111   (pi0)              -91  1364     0  1850  1851     0     0      0.402     -0.095    -19.096     19.101      0.135
  1564      -211   pi-                 91  1366     0     0     0     0     0     -1.130      0.714     -7.999      8.111      0.140
  1565       111   (pi0)              -91  1366     0  1852  1853     0     0     -0.038      0.006     -2.624      2.628      0.135
  1566       130   K_L0                91  1368  1368     0     0     0     0     -0.309      0.274     -2.384      2.471      0.498
  1567       211   pi+                 91  1369     0     0     0     0     0      0.329      0.220     -2.239      2.278      0.140
  1568      -211   pi-                 91  1369     0     0     0     0     0     -0.285      0.118     -1.111      1.162      0.140
  1569       311   (K0)               -91  1372     0  1592  1592     0     0     -0.404     -0.406      0.227      0.792      0.498
  1570       211   pi+                 91  1372     0     0     0     0     0     -0.165      0.039     -0.239      0.325      0.140
  1571      -311   (Kbar0)            -91  1373     0  1593  1593     0     0     -0.150     -0.526     -0.768      1.066      0.498
  1572      -211   pi-                 91  1373     0     0     0     0     0      0.158      0.057     -0.613      0.650      0.140
  1573       211   pi+                 91  1374     0     0     0     0     0     -0.472      0.747     -0.214      0.920      0.140
  1574       111   (pi0)              -91  1374     0  1854  1855     0     0      0.171     -0.054     -0.187      0.292      0.135
  1575      2112   n0                  91  1381     0     0     0     0     0      0.259     -0.443      4.185      4.320      0.940
  1576       111   (pi0)              -91  1381     0  1856  1857     0     0      0.132      0.113      1.087      1.109      0.135
  1577       211   pi+                 91  1388     0     0     0     0     0      0.070     -0.217     12.705     12.708      0.140
  1578      -211   pi-                 91  1388     0     0     0     0     0      0.473      0.269    116.326    116.328      0.140
  1579       211   pi+                 91  1390     0     0     0     0     0     -0.694     -2.417    544.040    544.045      0.140
  1580      -211   pi-                 91  1390     0     0     0     0     0     -0.098     -0.042     13.155     13.156      0.140
  1581       310   (K_S0)             -91  1403  1403  1858  1859     0     0     -0.173      0.218     -0.018      0.570      0.498
  1582       310   (K_S0)             -91  1411  1411  1860  1861     0     0      0.159      0.617     -8.444      8.482      0.498
  1583       130   K_L0                91  1419  1419     0     0     0     0      0.530     -0.160   -262.679    262.680      0.498
  1584       310   (K_S0)             -91  1441  1441  1862  1863     0     0     -0.200     -0.274     -6.741      6.768      0.498
  1585       310   (K_S0)             -91  1475  1475  1864  1865     0     0     -0.024     -0.249     -2.900      2.953      0.498
  1586       310   (K_S0)             -91  1477  1477  1866  1867     0     0      0.316      0.129      0.222      0.643      0.498
  1587       130   K_L0                91  1479  1479     0     0     0     0      0.189     -0.205      0.442      0.722      0.498
  1588       130   K_L0                91  1488  1488     0     0     0     0      0.421     -0.001    -24.030     24.039      0.498
  1589       130   K_L0                91  1520  1520     0     0     0     0      0.098     -0.068      6.101      6.122      0.498
  1590       310   (K_S0)             -91  1545  1545  1868  1869     0     0     -0.534      1.735      4.201      4.603      0.498
  1591       130   K_L0                91  1559  1559     0     0     0     0      1.927      0.149   -135.532    135.547      0.498
  1592       130   K_L0                91  1569  1569     0     0     0     0     -0.404     -0.406      0.227      0.792      0.498
  1593       130   K_L0                91  1571  1571     0     0     0     0     -0.150     -0.526     -0.768      1.066      0.498
  1594       421   (D0)               -91   974     0  1870  1871     0     0      0.723     -2.435     33.026     33.176      1.865
  1595       211   pi+                 91   974     0     0     0     0     0      0.024     -0.205      2.381      2.394      0.140
  1596        22   gamma               91   979     0     0     0     0     0      0.228      0.515     29.336     29.342      0.000
  1597        22   gamma               91   979     0     0     0     0     0      0.113      0.139      6.708      6.711      0.000
  1598      -421   (Dbar0)            -91   980     0  1872  1874     0     0     -0.282      0.034     96.388     96.406      1.865
  1599       111   (pi0)              -91   980     0  1875  1876     0     0      0.019     -0.021      6.860      6.862      0.135
  1600       511   (B0)               -91   985     0  1877  1879     0     0     16.927     20.219    -23.620     35.793      5.280
  1601        22   gamma               91   985     0     0     0     0     0      0.071      0.117     -0.173      0.220      0.000
  1602        22   gamma               91   992     0     0     0     0     0     -0.050      0.071      0.045      0.098      0.000
  1603        22   gamma               91   992     0     0     0     0     0     -0.031      0.475      0.474      0.672      0.000
  1604        22   gamma               91   993     0     0     0     0     0      0.187      0.616      0.152      0.662      0.000
  1605        22   gamma               91   993     0     0     0     0     0     -0.008      0.266      0.055      0.272      0.000
  1606        22   gamma               91   994     0     0     0     0     0      0.037      0.100      0.274      0.294      0.000
  1607        22   gamma               91   994     0     0     0     0     0      0.066      0.095      0.066      0.133      0.000
  1608       211   pi+                 91   997     0     0     0     0     0      0.135     -0.334     -0.465      0.604      0.140
  1609      -211   pi-                 91   997     0     0     0     0     0     -0.010     -0.012     -0.215      0.257      0.140
  1610       111   (pi0)              -91   997     0  1880  1881     0     0     -0.007      0.162     -0.071      0.222      0.135
  1611        22   gamma               91   998     0     0     0     0     0      0.552     -0.092     -0.470      0.730      0.000
  1612        22   gamma               91   998     0     0     0     0     0      0.426     -0.194     -0.412      0.623      0.000
  1613        22   gamma               91  1013     0     0     0     0     0      0.446      0.487     53.265     53.269      0.000
  1614        22   gamma               91  1013     0     0     0     0     0      0.149      0.301     25.804     25.806      0.000
  1615        22   gamma               91  1028     0     0     0     0     0      0.537     -0.506     -1.601      1.763      0.000
  1616        22   gamma               91  1028     0     0     0     0     0      0.076     -0.126     -0.444      0.468      0.000
  1617       211   pi+                 91  1029     0     0     0     0     0     -0.001      0.192     -5.183      5.188      0.140
  1618      -211   pi-                 91  1029     0     0     0     0     0     -0.127      0.180    -17.945     17.947      0.140
  1619       111   (pi0)              -91  1029     0  1882  1883     0     0     -0.483      0.283    -14.454     14.466      0.135
  1620        22   gamma               91  1031     0     0     0     0     0     -0.085      0.164     -7.135      7.137      0.000
  1621        22   gamma               91  1031     0     0     0     0     0     -0.699      1.981    -95.785     95.808      0.000
  1622       211   pi+                 91  1040     0     0     0     0     0      0.092     -0.346     31.053     31.055      0.140
  1623      -211   pi-                 91  1040     0     0     0     0     0     -0.116     -0.251     19.581     19.584      0.140
  1624       221   (eta)              -91  1040     0  1884  1886     0     0     -0.238     -0.484     55.176     55.181      0.548
  1625       211   pi+                 91  1041     0     0     0     0     0      0.158      0.213     11.297     11.300      0.140
  1626      -211   pi-                 91  1041     0     0     0     0     0     -0.153      0.143      2.805      2.816      0.140
  1627       111   (pi0)              -91  1041     0  1887  1888     0     0     -0.139      0.310     11.656     11.661      0.135
  1628        22   gamma               91  1044     0     0     0     0     0      0.158      0.112      0.427      0.469      0.000
  1629        22   gamma               91  1044     0     0     0     0     0      0.105      0.266      0.594      0.659      0.000
  1630        22   gamma               91  1052     0     0     0     0     0     -0.007     -0.040     -7.272      7.272      0.000
  1631        22   gamma               91  1052     0     0     0     0     0      0.162      0.009    -50.989     50.990      0.000
  1632       211   pi+                 91  1053     0     0     0     0     0      0.115     -0.235   -156.952    156.952      0.140
  1633      -211   pi-                 91  1053     0     0     0     0     0      0.111      0.124    -47.666     47.666      0.140
  1634       111   (pi0)              -91  1053     0  1889  1890     0     0      0.288     -0.053   -261.031    261.032      0.135
  1635       321   K+                  91  1056     0     0     0     0     0      0.115      0.067     -6.759      6.778      0.494
  1636      -321   K-                  91  1056     0     0     0     0     0     -0.048     -0.137     -6.649      6.669      0.494
  1637       111   (pi0)              -91  1058     0  1891  1892     0     0      0.144     -0.313     -0.615      0.717      0.135
  1638       111   (pi0)              -91  1058     0  1893  1894     0     0     -0.024     -0.369     -0.605      0.722      0.135
  1639       111   (pi0)              -91  1058     0  1895  1896     0     0     -0.052     -0.219     -0.198      0.329      0.135
  1640        22   gamma               91  1059     0     0     0     0     0      0.042      0.088     -0.334      0.347      0.000
  1641        22   gamma               91  1059     0     0     0     0     0      0.519      0.341     -1.949      2.046      0.000
  1642        22   gamma               91  1060     0     0     0     0     0      0.498     -0.734     -1.128      1.435      0.000
  1643        22   gamma               91  1060     0     0     0     0     0      0.207      0.057     -0.135      0.253      0.000
  1644      -313   (K*bar0)           -91  1068     0  1897  1898     0     0      1.211      0.890      5.134      5.423      0.888
  1645       111   (pi0)              -91  1068     0  1899  1900     0     0      0.165      0.257      5.931      5.941      0.135
  1646       211   pi+                 91  1076     0     0     0     0     0     -0.418     -0.134     -4.338      4.362      0.140
  1647      -211   pi-                 91  1076     0     0     0     0     0     -0.353     -0.595     -8.069      8.100      0.140
  1648       111   (pi0)              -91  1076     0  1901  1902     0     0     -0.021     -0.281     -4.912      4.922      0.135
  1649      -511   (Bbar0)            -91  1088     0  1903  1905     0     0    -14.919    -36.745   -123.301    129.630      5.280
  1650        22   gamma               91  1088     0     0     0     0     0     -0.182     -0.375     -1.174      1.245      0.000
  1651       111   (pi0)              -91  1095     0  1906  1907     0     0     -0.141     -0.107     -1.925      1.938      0.135
  1652        22   gamma               91  1095     0     0     0     0     0     -0.638     -1.491     -5.348      5.588      0.000
  1653       211   pi+                 91  1125     0     0     0     0     0      0.107     -0.231      0.000      0.290      0.140
  1654      -211   pi-                 91  1125     0     0     0     0     0     -0.138     -0.063      0.399      0.449      0.140
  1655       111   (pi0)              -91  1125     0  1908  1909     0     0     -0.040      0.012      0.360      0.386      0.135
  1656        22   gamma               91  1128     0     0     0     0     0     -0.134     -0.154      2.112      2.122      0.000
  1657        22   gamma               91  1128     0     0     0     0     0      0.019     -0.116      1.477      1.482      0.000
  1658     -2212   pbar-               91  1129     0     0     0     0     0     -0.294      0.902     13.111     13.179      0.938
  1659       211   pi+                 91  1129     0     0     0     0     0     -0.101      0.253      2.165      2.187      0.140
  1660        22   gamma               91  1134     0     0     0     0     0      0.193      0.274      4.501      4.513      0.000
  1661        22   gamma               91  1134     0     0     0     0     0      0.052     -0.005      0.578      0.581      0.000
  1662        22   gamma               91  1138     0     0     0     0     0     -0.051     -0.031      0.294      0.300      0.000
  1663        22   gamma               91  1138     0     0     0     0     0     -0.078     -0.071      2.461      2.463      0.000
  1664        22   gamma               91  1144     0     0     0     0     0      0.183      0.122      0.160      0.272      0.000
  1665        22   gamma               91  1144     0     0     0     0     0      0.252      0.305      0.131      0.417      0.000
  1666       211   pi+                 91  1146     0     0     0     0     0      0.170      0.265     -0.486      0.596      0.140
  1667      -211   pi-                 91  1146     0     0     0     0     0     -0.311      0.014      0.068      0.348      0.140
  1668        22   gamma               91  1149     0     0     0     0     0     -0.203     -0.080     -0.622      0.659      0.000
  1669        22   gamma               91  1149     0     0     0     0     0     -0.465     -0.425     -1.758      1.868      0.000
  1670        22   gamma               91  1150     0     0     0     0     0      0.034     -0.073     -0.379      0.387      0.000
  1671        22   gamma               91  1150     0     0     0     0     0      0.243     -0.060     -1.762      1.779      0.000
  1672        22   gamma               91  1155     0     0     0     0     0      0.038     -0.071     -0.610      0.615      0.000
  1673        22   gamma               91  1155     0     0     0     0     0      0.035      0.053     -1.034      1.036      0.000
  1674        22   gamma               91  1157     0     0     0     0     0      0.144     -0.008     -1.075      1.085      0.000
  1675        22   gamma               91  1157     0     0     0     0     0      0.071      0.067     -1.617      1.620      0.000
  1676       111   (pi0)              -91  1161     0  1910  1911     0     0      0.055     -0.023     -2.262      2.267      0.135
  1677       111   (pi0)              -91  1161     0  1912  1913     0     0     -0.090      0.097     -2.676      2.683      0.135
  1678       111   (pi0)              -91  1161     0  1914  1915     0     0     -0.133     -0.092     -1.652      1.666      0.135
  1679        22   gamma               91  1162     0     0     0     0     0     -0.101      0.040     -1.282      1.286      0.000
  1680        22   gamma               91  1162     0     0     0     0     0     -0.229     -0.110     -2.555      2.568      0.000
  1681        22   gamma               91  1176     0     0     0     0     0      0.062      0.093    -17.890     17.890      0.000
  1682        22   gamma               91  1176     0     0     0     0     0      0.007      0.116    -51.229     51.229      0.000
  1683        22   gamma               91  1190     0     0     0     0     0      0.053     -0.058      0.075      0.109      0.000
  1684        22   gamma               91  1190     0     0     0     0     0      0.181     -0.170      0.715      0.757      0.000
  1685      -313   (K*bar0)           -91  1192     0  1916  1917     0     0      1.033      0.214      0.479      1.458      0.884
  1686      -211   pi-                 91  1192     0     0     0     0     0     -0.230     -0.477      1.018      1.156      0.140
  1687        22   gamma               91  1197     0     0     0     0     0      0.023     -0.014      1.015      1.015      0.000
  1688        22   gamma               91  1197     0     0     0     0     0      0.182      0.109     30.927     30.927      0.000
  1689        22   gamma               91  1201     0     0     0     0     0     -0.256      0.174      1.506      1.537      0.000
  1690        22   gamma               91  1201     0     0     0     0     0     -0.172      0.008      1.052      1.066      0.000
  1691       130   K_L0                91  1204     0     0     0     0     0     -0.092     -0.237     -0.470      0.730      0.498
  1692       310   (K_S0)             -91  1204     0  1918  1919     0     0      0.050     -0.303     -0.310      0.662      0.498
  1693       211   pi+                 91  1208     0     0     0     0     0     -0.134     -0.180     -3.986      3.995      0.140
  1694      -211   pi-                 91  1208     0     0     0     0     0     -0.101     -0.169     -7.083      7.087      0.140
  1695       111   (pi0)              -91  1208     0  1920  1921     0     0     -0.045      0.240     -3.443      3.454      0.135
  1696     -2112   nbar0               91  1216     0     0     0     0     0      0.105     -0.282     15.945     15.976      0.940
  1697       211   pi+                 91  1216     0     0     0     0     0      0.029     -0.206      1.847      1.864      0.140
  1698        22   gamma               91  1222     0     0     0     0     0      0.391     -0.128    201.005    201.006      0.000
  1699        22   gamma               91  1222     0     0     0     0     0      0.233      0.028    111.887    111.887      0.000
  1700        22   gamma               91  1255     0     0     0     0     0      0.016     -0.026     -0.175      0.178      0.000
  1701        22   gamma               91  1255     0     0     0     0     0      0.126     -0.065     -0.108      0.178      0.000
  1702       211   pi+                 91  1256     0     0     0     0     0     -0.029     -0.114     -0.205      0.274      0.140
  1703      -211   pi-                 91  1256     0     0     0     0     0      0.012     -0.127     -1.337      1.350      0.140
  1704       111   (pi0)              -91  1256     0  1922  1923     0     0      0.005      0.171     -1.423      1.439      0.135
  1705        22   gamma               91  1273     0     0     0     0     0     -0.104     -0.487     -0.436      0.662      0.000
  1706        22   gamma               91  1273     0     0     0     0     0      0.027     -0.053     -0.090      0.108      0.000
  1707        22   gamma               91  1274     0     0     0     0     0     -0.683     -0.448      0.161      0.832      0.000
  1708        22   gamma               91  1274     0     0     0     0     0     -0.436     -0.414      0.163      0.623      0.000
  1709      2212   p+                  91  1276     0     0     0     0     0     -2.001     -0.105     -0.267      2.229      0.938
  1710      -211   pi-                 91  1276     0     0     0     0     0     -0.379     -0.003      0.068      0.410      0.140
  1711        22   gamma               91  1277     0     0     0     0     0     -0.244     -0.342      0.503      0.655      0.000
  1712        22   gamma               91  1277     0     0     0     0     0     -0.027     -0.163      0.141      0.217      0.000
  1713        22   gamma               91  1281     0     0     0     0     0      0.202     -0.004      0.375      0.426      0.000
  1714        22   gamma               91  1281     0     0     0     0     0      0.085     -0.033      0.440      0.450      0.000
  1715       211   pi+                 91  1285     0     0     0     0     0     -0.007     -0.041      3.287      3.290      0.140
  1716      -211   pi-                 91  1285     0     0     0     0     0     -0.078     -0.074      1.903      1.911      0.140
  1717       111   (pi0)              -91  1285     0  1924  1925     0     0      0.561     -0.075      6.166      6.193      0.135
  1718        22   gamma               91  1290     0     0     0     0     0     -0.061     -0.163      8.305      8.307      0.000
  1719        22   gamma               91  1290     0     0     0     0     0     -0.030     -0.103      1.969      1.972      0.000
  1720       211   pi+                 91  1296     0     0     0     0     0     -0.421      0.244     37.148     37.152      0.140
  1721      -211   pi-                 91  1296     0     0     0     0     0     -0.902     -0.051     72.825     72.831      0.140
  1722       111   (pi0)              -91  1296     0  1926  1927     0     0     -0.331     -0.198     32.945     32.947      0.135
  1723        22   gamma               91  1301     0     0     0     0     0     -0.034     -0.114      1.143      1.149      0.000
  1724        22   gamma               91  1301     0     0     0     0     0      0.029     -0.067      2.331      2.332      0.000
  1725        22   gamma               91  1312     0     0     0     0     0     -0.003      0.006      0.291      0.291      0.000
  1726        22   gamma               91  1312     0     0     0     0     0      0.443      1.067     15.199     15.243      0.000
  1727       211   pi+                 91  1322     0     0     0     0     0     -0.115      0.012      0.327      0.373      0.140
  1728      -211   pi-                 91  1322     0     0     0     0     0      0.178      0.101      0.282      0.376      0.140
  1729       111   (pi0)              -91  1322     0  1928  1929     0     0     -0.033      0.506      0.896      1.038      0.135
  1730        22   gamma               91  1325     0     0     0     0     0      0.070      0.016     -0.021      0.075      0.000
  1731        22   gamma               91  1325     0     0     0     0     0     -0.060      0.044     -0.002      0.075      0.000
  1732        22   gamma               91  1357     0     0     0     0     0     -1.376     -0.224    -62.244     62.260      0.000
  1733        22   gamma               91  1357     0     0     0     0     0     -0.548     -0.106    -21.466     21.473      0.000
  1734       211   pi+                 91  1358     0     0     0     0     0     -0.132     -0.298     -5.146      5.158      0.140
  1735      -211   pi-                 91  1358     0     0     0     0     0     -0.100     -0.055     -5.121      5.125      0.140
  1736       111   (pi0)              -91  1358     0  1930  1931     0     0     -0.066     -0.100     -1.739      1.748      0.135
  1737        22   gamma               91  1359     0     0     0     0     0      0.608     -0.028    -29.783     29.789      0.000
  1738        22   gamma               91  1359     0     0     0     0     0      0.538      0.048    -21.793     21.799      0.000
  1739        22   gamma               91  1362     0     0     0     0     0      0.234     -0.122    -29.282     29.283      0.000
  1740        22   gamma               91  1362     0     0     0     0     0      0.419     -0.031    -45.259     45.261      0.000
  1741        22   gamma               91  1365     0     0     0     0     0      0.136     -0.173    -10.411     10.414      0.000
  1742        22   gamma               91  1365     0     0     0     0     0      0.316     -0.143    -14.882     14.886      0.000
  1743       211   pi+                 91  1371     0     0     0     0     0     -0.184      0.118     -0.618      0.670      0.140
  1744      -211   pi-                 91  1371     0     0     0     0     0      0.337      0.136     -0.628      0.738      0.140
  1745       111   (pi0)              -91  1371     0  1932  1933     0     0      0.162      0.175     -0.749      0.797      0.135
  1746        22   gamma               91  1377     0     0     0     0     0      0.056     -0.024      0.217      0.225      0.000
  1747        22   gamma               91  1377     0     0     0     0     0     -0.004      0.062      0.046      0.077      0.000
  1748        22   gamma               91  1380     0     0     0     0     0      0.053      0.022      0.571      0.574      0.000
  1749        22   gamma               91  1380     0     0     0     0     0     -0.080      0.035      1.447      1.450      0.000
  1750        22   gamma               91  1382     0     0     0     0     0      0.042      0.319      1.421      1.457      0.000
  1751        22   gamma               91  1382     0     0     0     0     0      0.008      0.169      1.325      1.336      0.000
  1752        22   gamma               91  1384     0     0     0     0     0      1.406     -0.215     90.642     90.653      0.000
  1753        22   gamma               91  1384     0     0     0     0     0      0.012      0.011      1.330      1.330      0.000
  1754        22   gamma               91  1386     0     0     0     0     0      0.399      0.099     23.405     23.409      0.000
  1755        22   gamma               91  1386     0     0     0     0     0      0.029      0.055      2.998      2.998      0.000
  1756       111   (pi0)              -91  1389     0  1934  1935     0     0      0.083     -0.087      5.988      5.991      0.135
  1757        22   gamma               91  1389     0     0     0     0     0      0.714      0.194    121.200    121.202      0.000
  1758       111   (pi0)              -91  1391     0  1936  1937     0     0      0.025      0.103      3.997      4.001      0.135
  1759       111   (pi0)              -91  1391     0  1938  1939     0     0     -0.046      0.642      5.782      5.820      0.135
  1760        22   gamma               91  1393     0     0     0     0     0      0.077     -0.046      0.061      0.108      0.000
  1761        22   gamma               91  1393     0     0     0     0     0      0.052     -0.112      0.333      0.356      0.000
  1762        22   gamma               91  1395     0     0     0     0     0      0.166      0.264     -0.040      0.315      0.000
  1763        22   gamma               91  1395     0     0     0     0     0      0.063      0.326     -0.110      0.350      0.000
  1764        22   gamma               91  1397     0     0     0     0     0      0.295      0.145     -0.080      0.338      0.000
  1765        22   gamma               91  1397     0     0     0     0     0      0.124     -0.003      0.028      0.127      0.000
  1766       111   (pi0)              -91  1399     0  1940  1941     0     0      0.150      0.855      0.881      1.244      0.135
  1767       111   (pi0)              -91  1399     0  1942  1943     0     0     -0.058      0.289      0.082      0.334      0.135
  1768        22   gamma               91  1408     0     0     0     0     0      0.249      0.556    -13.173     13.187      0.000
  1769        22   gamma               91  1408     0     0     0     0     0      0.298      0.731    -20.666     20.681      0.000
  1770        22   gamma               91  1414     0     0     0     0     0     -0.041     -0.018      2.578      2.578      0.000
  1771        22   gamma               91  1414     0     0     0     0     0     -0.252     -0.013      4.585      4.592      0.000
  1772        22   gamma               91  1416     0     0     0     0     0      0.053      0.152      0.678      0.697      0.000
  1773        22   gamma               91  1416     0     0     0     0     0     -0.035      0.195      1.464      1.477      0.000
  1774        22   gamma               91  1418     0     0     0     0     0      0.143      0.702      0.270      0.766      0.000
  1775        22   gamma               91  1418     0     0     0     0     0      0.127      0.230      0.077      0.274      0.000
  1776        22   gamma               91  1420     0     0     0     0     0     -0.137     -0.033    -40.361     40.361      0.000
  1777        22   gamma               91  1420     0     0     0     0     0     -0.030     -0.021    -54.565     54.565      0.000
  1778       211   pi+                 91  1423     0     0     0     0     0      0.137     -0.295     -2.598      2.622      0.140
  1779      -211   pi-                 91  1423     0     0     0     0     0      0.042      0.135     -1.401      1.415      0.140
  1780        22   gamma               91  1425     0     0     0     0     0      0.364     -0.272      2.053      2.102      0.000
  1781        22   gamma               91  1425     0     0     0     0     0      0.006      0.007      0.008      0.012      0.000
  1782        22   gamma               91  1431     0     0     0     0     0      0.488      0.240      0.298      0.619      0.000
  1783        22   gamma               91  1431     0     0     0     0     0      0.065      0.087      0.025      0.111      0.000
  1784        22   gamma               91  1433     0     0     0     0     0     -0.028     -0.160     -0.223      0.276      0.000
  1785        22   gamma               91  1433     0     0     0     0     0      0.123     -0.240     -0.430      0.508      0.000
  1786       211   pi+                 91  1438     0     0     0     0     0     -1.513     -1.678     -9.066      9.345      0.140
  1787      -211   pi-                 91  1438     0     0     0     0     0     -1.091     -1.647     -6.964      7.240      0.140
  1788        22   gamma               91  1440     0     0     0     0     0     -0.215     -0.901     -4.735      4.825      0.000
  1789        22   gamma               91  1440     0     0     0     0     0     -0.018     -0.087     -0.280      0.294      0.000
  1790        22   gamma               91  1447     0     0     0     0     0      0.110      0.227   -100.954    100.955      0.000
  1791        22   gamma               91  1447     0     0     0     0     0      0.039      0.034     -7.227      7.227      0.000
  1792        22   gamma               91  1449     0     0     0     0     0     -0.054     -0.211    -68.295     68.296      0.000
  1793        22   gamma               91  1449     0     0     0     0     0      0.035     -0.028     -6.223      6.223      0.000
  1794        22   gamma               91  1451     0     0     0     0     0      0.091      0.586     -0.537      0.800      0.000
  1795        22   gamma               91  1451     0     0     0     0     0      0.029      0.146     -0.242      0.284      0.000
  1796        22   gamma               91  1456     0     0     0     0     0     -0.165     -0.254      1.223      1.260      0.000
  1797        22   gamma               91  1456     0     0     0     0     0      0.006     -0.158      0.726      0.743      0.000
  1798        22   gamma               91  1458     0     0     0     0     0     -0.295     -0.296      1.451      1.510      0.000
  1799        22   gamma               91  1458     0     0     0     0     0     -0.153     -0.046      0.669      0.688      0.000
  1800        22   gamma               91  1462     0     0     0     0     0      0.041      0.038     -2.312      2.313      0.000
  1801        22   gamma               91  1462     0     0     0     0     0      0.042      0.150     -1.827      1.834      0.000
  1802        22   gamma               91  1464     0     0     0     0     0     -0.062      0.080     -0.188      0.214      0.000
  1803        22   gamma               91  1464     0     0     0     0     0     -0.051      0.198     -0.918      0.941      0.000
  1804        22   gamma               91  1466     0     0     0     0     0      0.258      0.384   -145.421    145.422      0.000
  1805        22   gamma               91  1466     0     0     0     0     0      0.243      0.500   -139.309    139.310      0.000
  1806        22   gamma               91  1470     0     0     0     0     0      0.053     -0.018     -7.032      7.033      0.000
  1807        22   gamma               91  1470     0     0     0     0     0      0.006     -0.112     -4.208      4.209      0.000
  1808        22   gamma               91  1472     0     0     0     0     0     -0.377      0.063    -12.343     12.349      0.000
  1809        22   gamma               91  1472     0     0     0     0     0     -0.009      0.012     -2.111      2.111      0.000
  1810        22   gamma               91  1484     0     0     0     0     0     -0.097     -0.004      0.668      0.675      0.000
  1811        22   gamma               91  1484     0     0     0     0     0     -0.107      0.085      2.314      2.318      0.000
  1812        22   gamma               91  1486     0     0     0     0     0      0.151      0.028      0.538      0.560      0.000
  1813        22   gamma               91  1486     0     0     0     0     0      0.059      0.116      0.316      0.342      0.000
  1814        22   gamma               91  1489     0     0     0     0     0      0.114     -0.368     -7.207      7.217      0.000
  1815        22   gamma               91  1489     0     0     0     0     0      0.069     -0.041     -2.006      2.008      0.000
  1816        22   gamma               91  1493     0     0     0     0     0     -0.216      0.002     -0.876      0.902      0.000
  1817        22   gamma               91  1493     0     0     0     0     0      0.003      0.025     -0.032      0.040      0.000
  1818        22   gamma               91  1499     0     0     0     0     0     -0.106     -0.153     23.046     23.046      0.000
  1819        22   gamma               91  1499     0     0     0     0     0     -0.086     -0.199     50.335     50.335      0.000
  1820        22   gamma               91  1504     0     0     0     0     0      0.002     -0.303     -2.878      2.894      0.000
  1821        22   gamma               91  1504     0     0     0     0     0     -0.087     -0.297     -2.102      2.125      0.000
  1822        22   gamma               91  1508     0     0     0     0     0      0.052     -0.207     -0.184      0.281      0.000
  1823        22   gamma               91  1508     0     0     0     0     0      0.259     -0.554     -0.817      1.021      0.000
  1824        22   gamma               91  1510     0     0     0     0     0      0.083     -0.083     -0.973      0.980      0.000
  1825        22   gamma               91  1510     0     0     0     0     0      0.052      0.035     -1.289      1.290      0.000
  1826        22   gamma               91  1512     0     0     0     0     0     -0.082      0.133     -0.455      0.481      0.000
  1827        22   gamma               91  1512     0     0     0     0     0      0.018      0.011     -0.002      0.021      0.000
  1828        22   gamma               91  1525     0     0     0     0     0     -0.209     -0.328     99.385     99.385      0.000
  1829        22   gamma               91  1525     0     0     0     0     0     -0.386     -0.324    133.838    133.839      0.000
  1830        22   gamma               91  1527     0     0     0     0     0     -0.008      0.006     19.477     19.477      0.000
  1831        22   gamma               91  1527     0     0     0     0     0      0.058     -0.311    155.016    155.017      0.000
  1832        22   gamma               91  1529     0     0     0     0     0     -0.174     -0.284     19.432     19.435      0.000
  1833        22   gamma               91  1529     0     0     0     0     0     -0.259     -0.187     21.138     21.140      0.000
  1834        22   gamma               91  1531     0     0     0     0     0     -0.040     -0.209      4.442      4.447      0.000
  1835        22   gamma               91  1531     0     0     0     0     0      0.090     -0.352      9.400      9.407      0.000
  1836        22   gamma               91  1533     0     0     0     0     0     -0.102     -0.185     13.105     13.107      0.000
  1837        22   gamma               91  1533     0     0     0     0     0     -0.042     -0.458     32.869     32.872      0.000
  1838        22   gamma               91  1541     0     0     0     0     0     -0.329      0.395      3.077      3.120      0.000
  1839        22   gamma               91  1541     0     0     0     0     0     -0.274      0.173      2.169      2.193      0.000
  1840        22   gamma               91  1546     0     0     0     0     0     -0.412      0.329      1.271      1.376      0.000
  1841        22   gamma               91  1546     0     0     0     0     0     -0.472      0.334      1.071      1.217      0.000
  1842        22   gamma               91  1550     0     0     0     0     0      0.002      0.220     -0.365      0.426      0.000
  1843        22   gamma               91  1550     0     0     0     0     0     -0.061      0.094     -0.367      0.384      0.000
  1844        22   gamma               91  1554     0     0     0     0     0     -0.096      0.079    -14.173     14.173      0.000
  1845        22   gamma               91  1554     0     0     0     0     0      0.033     -0.001     -9.273      9.273      0.000
  1846        22   gamma               91  1558     0     0     0     0     0     -0.022     -0.030     -0.759      0.760      0.000
  1847        22   gamma               91  1558     0     0     0     0     0     -0.219     -0.715    -31.302     31.310      0.000
  1848       211   pi+                 91  1561     0     0     0     0     0     -0.085      0.011     -3.014      3.018      0.140
  1849      -211   pi-                 91  1561     0     0     0     0     0      0.288     -0.057    -15.431     15.434      0.140
  1850        22   gamma               91  1563     0     0     0     0     0      0.412     -0.090    -18.181     18.186      0.000
  1851        22   gamma               91  1563     0     0     0     0     0     -0.010     -0.005     -0.916      0.916      0.000
  1852        22   gamma               91  1565     0     0     0     0     0     -0.021      0.030     -2.501      2.502      0.000
  1853        22   gamma               91  1565     0     0     0     0     0     -0.017     -0.024     -0.123      0.126      0.000
  1854        22   gamma               91  1574     0     0     0     0     0     -0.004      0.018     -0.063      0.065      0.000
  1855        22   gamma               91  1574     0     0     0     0     0      0.175     -0.072     -0.124      0.227      0.000
  1856        22   gamma               91  1576     0     0     0     0     0      0.052      0.128      0.647      0.662      0.000
  1857        22   gamma               91  1576     0     0     0     0     0      0.080     -0.015      0.439      0.447      0.000
  1858       111   (pi0)              -91  1581     0  1944  1945     0     0      0.106      0.098      0.096      0.220      0.135
  1859       111   (pi0)              -91  1581     0  1946  1947     0     0     -0.278      0.120     -0.114      0.351      0.135
  1860       211   pi+                 91  1582     0     0     0     0     0      0.192      0.373     -3.130      3.161      0.140
  1861      -211   pi-                 91  1582     0     0     0     0     0     -0.033      0.243     -5.314      5.321      0.140
  1862       111   (pi0)              -91  1584     0  1948  1949     0     0      0.104     -0.169     -3.464      3.472      0.135
  1863       111   (pi0)              -91  1584     0  1950  1951     0     0     -0.304     -0.105     -3.277      3.295      0.135
  1864       211   pi+                 91  1585     0     0     0     0     0      0.023     -0.296     -1.139      1.185      0.140
  1865      -211   pi-                 91  1585     0     0     0     0     0     -0.047      0.047     -1.761      1.768      0.140
  1866       211   pi+                 91  1586     0     0     0     0     0      0.121      0.190      0.283      0.388      0.140
  1867      -211   pi-                 91  1586     0     0     0     0     0      0.195     -0.061     -0.061      0.255      0.140
  1868       211   pi+                 91  1590     0     0     0     0     0     -0.346      0.989      2.888      3.075      0.140
  1869      -211   pi-                 91  1590     0     0     0     0     0     -0.188      0.745      1.313      1.528      0.140
  1870       311   (K0)               -91  1594     0  1952  1952     0     0      1.027     -2.272     31.618     31.720      0.498
  1871       111   (pi0)              -91  1594     0  1953  1954     0     0     -0.304     -0.163      1.408      1.456      0.135
  1872       313   (K*0)              -91  1598     0  1955  1956     0     0      0.127      0.065     73.744     73.750      0.905
  1873      -211   pi-                 91  1598     0     0     0     0     0     -0.401      0.215     14.934     14.942      0.140
  1874       211   pi+                 91  1598     0     0     0     0     0     -0.008     -0.246      7.709      7.715      0.140
  1875        22   gamma               91  1599     0     0     0     0     0      0.042     -0.050      1.718      1.719      0.000
  1876        22   gamma               91  1599     0     0     0     0     0     -0.024      0.029      5.143      5.143      0.000
  1877        14   nu_mu               91  1600     0     0     0     0     0      1.561      0.744     -1.082      2.040      0.000
  1878       -13   mu+                 91  1600     0     0     0     0     0      0.643      1.390     -2.532      2.961      0.106
  1879      -413   (D*-)              -91  1600     0  1957  1958     0     0     14.723     18.085    -20.006     30.791      2.010
  1880        22   gamma               91  1610     0     0     0     0     0     -0.023      0.180     -0.044      0.186      0.000
  1881        22   gamma               91  1610     0     0     0     0     0      0.016     -0.018     -0.027      0.036      0.000
  1882        22   gamma               91  1619     0     0     0     0     0     -0.246      0.197     -9.249      9.254      0.000
  1883        22   gamma               91  1619     0     0     0     0     0     -0.237      0.086     -5.205      5.211      0.000
  1884       111   (pi0)              -91  1624     0  1959  1960     0     0     -0.096     -0.352     31.382     31.385      0.135
  1885       111   (pi0)              -91  1624     0  1961  1962     0     0     -0.152     -0.031     12.956     12.957      0.135
  1886       111   (pi0)              -91  1624     0  1963  1964     0     0      0.009     -0.102     10.838     10.839      0.135
  1887        22   gamma               91  1627     0     0     0     0     0     -0.079      0.266      7.616      7.621      0.000
  1888        22   gamma               91  1627     0     0     0     0     0     -0.060      0.044      4.040      4.040      0.000
  1889        22   gamma               91  1634     0     0     0     0     0      0.218     -0.098   -194.808    194.808      0.000
  1890        22   gamma               91  1634     0     0     0     0     0      0.071      0.045    -66.224     66.224      0.000
  1891        22   gamma               91  1637     0     0     0     0     0      0.148     -0.306     -0.514      0.616      0.000
  1892        22   gamma               91  1637     0     0     0     0     0     -0.004     -0.006     -0.101      0.101      0.000
  1893        22   gamma               91  1638     0     0     0     0     0      0.019     -0.307     -0.410      0.512      0.000
  1894        22   gamma               91  1638     0     0     0     0     0     -0.043     -0.062     -0.195      0.209      0.000
  1895        22   gamma               91  1639     0     0     0     0     0      0.038     -0.109     -0.121      0.168      0.000
  1896        22   gamma               91  1639     0     0     0     0     0     -0.090     -0.110     -0.077      0.161      0.000
  1897      -311   (Kbar0)            -91  1644     0  1965  1965     0     0      1.205      0.793      4.086      4.362      0.498
  1898       111   (pi0)              -91  1644     0  1966  1967     0     0      0.006      0.097      1.048      1.061      0.135
  1899        22   gamma               91  1645     0     0     0     0     0      0.183      0.211      4.595      4.604      0.000
  1900        22   gamma               91  1645     0     0     0     0     0     -0.018      0.047      1.336      1.337      0.000
  1901        22   gamma               91  1648     0     0     0     0     0      0.026      0.002     -0.432      0.433      0.000
  1902        22   gamma               91  1648     0     0     0     0     0     -0.047     -0.283     -4.480      4.489      0.000
  1903      4312   (Xi'_c0)           -91  1649     0  1968  1969     0     0    -13.005    -28.944    -97.811    102.862      2.578
  1904       211   pi+                 91  1649     0     0     0     0     0     -0.819     -4.351    -13.491     14.200      0.140
  1905     -2212   pbar-               91  1649     0     0     0     0     0     -1.095     -3.449    -12.000     12.569      0.938
  1906        22   gamma               91  1651     0     0     0     0     0     -0.102     -0.128     -1.727      1.735      0.000
  1907        22   gamma               91  1651     0     0     0     0     0     -0.040      0.022     -0.197      0.202      0.000
  1908        22   gamma               91  1655     0     0     0     0     0     -0.016     -0.060      0.199      0.209      0.000
  1909        22   gamma               91  1655     0     0     0     0     0     -0.024      0.072      0.160      0.178      0.000
  1910        22   gamma               91  1676     0     0     0     0     0      0.003     -0.025     -0.073      0.077      0.000
  1911        22   gamma               91  1676     0     0     0     0     0      0.051      0.002     -2.189      2.190      0.000
  1912        22   gamma               91  1677     0     0     0     0     0     -0.092     -0.000     -1.272      1.275      0.000
  1913        22   gamma               91  1677     0     0     0     0     0      0.002      0.097     -1.405      1.408      0.000
  1914        22   gamma               91  1678     0     0     0     0     0     -0.023      0.034     -0.255      0.258      0.000
  1915        22   gamma               91  1678     0     0     0     0     0     -0.110     -0.127     -1.397      1.407      0.000
  1916      -311   (Kbar0)            -91  1685     0  1970  1970     0     0      0.257      0.030      0.268      0.622      0.498
  1917       111   (pi0)              -91  1685     0  1971  1972     0     0      0.776      0.184      0.211      0.836      0.135
  1918       211   pi+                 91  1692     0     0     0     0     0      0.068     -0.264      0.013      0.307      0.140
  1919      -211   pi-                 91  1692     0     0     0     0     0     -0.017     -0.038     -0.324      0.355      0.140
  1920        22   gamma               91  1695     0     0     0     0     0     -0.042      0.139     -1.164      1.173      0.000
  1921        22   gamma               91  1695     0     0     0     0     0     -0.004      0.100     -2.279      2.281      0.000
  1922        22   gamma               91  1704     0     0     0     0     0     -0.015      0.135     -0.585      0.601      0.000
  1923        22   gamma               91  1704     0     0     0     0     0      0.020      0.036     -0.838      0.839      0.000
  1924        22   gamma               91  1717     0     0     0     0     0      0.226      0.007      1.882      1.896      0.000
  1925        22   gamma               91  1717     0     0     0     0     0      0.335     -0.082      4.284      4.298      0.000
  1926        22   gamma               91  1722     0     0     0     0     0     -0.265     -0.194     23.347     23.349      0.000
  1927        22   gamma               91  1722     0     0     0     0     0     -0.066     -0.005      9.598      9.598      0.000
  1928        22   gamma               91  1729     0     0     0     0     0      0.052      0.160      0.274      0.322      0.000
  1929        22   gamma               91  1729     0     0     0     0     0     -0.085      0.345      0.622      0.717      0.000
  1930        22   gamma               91  1736     0     0     0     0     0     -0.070     -0.130     -1.528      1.535      0.000
  1931        22   gamma               91  1736     0     0     0     0     0      0.004      0.030     -0.211      0.213      0.000
  1932        22   gamma               91  1745     0     0     0     0     0      0.064      0.150     -0.351      0.387      0.000
  1933        22   gamma               91  1745     0     0     0     0     0      0.098      0.025     -0.397      0.410      0.000
  1934        22   gamma               91  1756     0     0     0     0     0      0.008     -0.014      3.950      3.950      0.000
  1935        22   gamma               91  1756     0     0     0     0     0      0.075     -0.073      2.038      2.041      0.000
  1936        22   gamma               91  1758     0     0     0     0     0     -0.015     -0.029      0.662      0.663      0.000
  1937        22   gamma               91  1758     0     0     0     0     0      0.040      0.132      3.335      3.338      0.000
  1938        22   gamma               91  1759     0     0     0     0     0      0.026      0.412      3.333      3.359      0.000
  1939        22   gamma               91  1759     0     0     0     0     0     -0.071      0.230      2.449      2.461      0.000
  1940        22   gamma               91  1766     0     0     0     0     0      0.161      0.843      0.878      1.227      0.000
  1941        22   gamma               91  1766     0     0     0     0     0     -0.011      0.012      0.003      0.016      0.000
  1942        22   gamma               91  1767     0     0     0     0     0      0.015      0.002     -0.017      0.022      0.000
  1943        22   gamma               91  1767     0     0     0     0     0     -0.073      0.287      0.098      0.312      0.000
  1944        22   gamma               91  1858     0     0     0     0     0      0.126      0.103      0.107      0.195      0.000
  1945        22   gamma               91  1858     0     0     0     0     0     -0.021     -0.005     -0.011      0.024      0.000
  1946        22   gamma               91  1859     0     0     0     0     0     -0.188      0.079     -0.141      0.249      0.000
  1947        22   gamma               91  1859     0     0     0     0     0     -0.090      0.041      0.027      0.102      0.000
  1948        22   gamma               91  1862     0     0     0     0     0     -0.027     -0.002     -0.441      0.442      0.000
  1949        22   gamma               91  1862     0     0     0     0     0      0.131     -0.167     -3.023      3.030      0.000
  1950        22   gamma               91  1863     0     0     0     0     0     -0.035     -0.016     -0.126      0.132      0.000
  1951        22   gamma               91  1863     0     0     0     0     0     -0.269     -0.089     -3.150      3.163      0.000
  1952       310   (K_S0)             -91  1870  1870  1973  1974     0     0      1.027     -2.272     31.618     31.720      0.498
  1953        22   gamma               91  1871     0     0     0     0     0     -0.198     -0.171      1.074      1.106      0.000
  1954        22   gamma               91  1871     0     0     0     0     0     -0.106      0.008      0.334      0.350      0.000
  1955       321   K+                  91  1872     0     0     0     0     0      0.044     -0.190     60.017     60.020      0.494
  1956      -211   pi-                 91  1872     0     0     0     0     0      0.083      0.256     13.727     13.730      0.140
  1957      -421   (Dbar0)            -91  1879     0  1975  1977     0     0     13.680     16.764    -18.522     28.543      1.865
  1958      -211   pi-                 91  1879     0     0     0     0     0      1.043      1.321     -1.484      2.249      0.140
  1959        22   gamma               91  1884     0     0     0     0     0     -0.029     -0.294     26.099     26.101      0.000
  1960        22   gamma               91  1884     0     0     0     0     0     -0.067     -0.057      5.283      5.284      0.000
  1961        22   gamma               91  1885     0     0     0     0     0     -0.006      0.038      3.964      3.965      0.000
  1962        22   gamma               91  1885     0     0     0     0     0     -0.145     -0.069      8.991      8.993      0.000
  1963        22   gamma               91  1886     0     0     0     0     0     -0.052     -0.082      8.046      8.047      0.000
  1964        22   gamma               91  1886     0     0     0     0     0      0.061     -0.020      2.791      2.792      0.000
  1965       130   K_L0                91  1897  1897     0     0     0     0      1.205      0.793      4.086      4.362      0.498
  1966        22   gamma               91  1898     0     0     0     0     0     -0.013      0.123      0.635      0.647      0.000
  1967        22   gamma               91  1898     0     0     0     0     0      0.019     -0.026      0.413      0.414      0.000
  1968      4132   (Xi_c0)            -91  1903     0  1978  1979     0     0    -12.358    -27.452    -92.484     97.292      2.471
  1969        22   gamma               91  1903     0     0     0     0     0     -0.647     -1.492     -5.327      5.569      0.000
  1970       310   (K_S0)             -91  1916  1916  1980  1981     0     0      0.257      0.030      0.268      0.622      0.498
  1971        22   gamma               91  1917     0     0     0     0     0      0.776      0.186      0.219      0.828      0.000
  1972        22   gamma               91  1917     0     0     0     0     0     -0.000     -0.003     -0.008      0.008      0.000
  1973       211   pi+                 91  1952     0     0     0     0     0      0.143     -0.652      7.335      7.367      0.140
  1974      -211   pi-                 91  1952     0     0     0     0     0      0.885     -1.620     24.283     24.353      0.140
  1975       321   K+                  91  1957     0     0     0     0     0      2.742      3.446     -4.447      6.278      0.494
  1976      -211   pi-                 91  1957     0     0     0     0     0      2.253      2.315     -2.700      4.212      0.140
  1977       111   (pi0)              -91  1957     0  1982  1983     0     0      8.685     11.002    -11.375     18.052      0.135
  1978      -311   (Kbar0)            -91  1968     0  1984  1984     0     0     -5.561    -10.205    -35.005     36.887      0.498
  1979      3122   (Lambda0)          -91  1968     0  1985  1986     0     0     -6.797    -17.247    -57.479     60.405      1.116
  1980       111   (pi0)              -91  1970     0  1987  1988     0     0      0.206     -0.068      0.346      0.430      0.135
  1981       111   (pi0)              -91  1970     0  1989  1990     0     0      0.051      0.098     -0.078      0.191      0.135
  1982        22   gamma               91  1977     0     0     0     0     0      6.344      8.078     -8.265     13.184      0.000
  1983        22   gamma               91  1977     0     0     0     0     0      2.340      2.925     -3.110      4.869      0.000
  1984       130   K_L0                91  1978  1978     0     0     0     0     -5.561    -10.205    -35.005     36.887      0.498
  1985      2212   p+                  91  1979     0     0     0     0     0     -5.319    -13.638    -45.593     47.895      0.938
  1986      -211   pi-                 91  1979     0     0     0     0     0     -1.478     -3.608    -11.886     12.510      0.140
  1987        22   gamma               91  1980     0     0     0     0     0      0.178     -0.104      0.248      0.323      0.000
  1988        22   gamma               91  1980     0     0     0     0     0      0.029      0.036      0.098      0.108      0.000
  1989        22   gamma               91  1981     0     0     0     0     0      0.052      0.128     -0.083      0.161      0.000
  1990        22   gamma               91  1981     0     0     0     0     0     -0.001     -0.030      0.004      0.030      0.000
                                   Charge sum:  2.000           Momentum sum:      0.000     -0.000      0.000  14000.000  14000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> b bbar                                  123 |         460         98         98 |   1.145e-04  5.744e-06 |
 | q qbar -> b bbar                               124 |          10          2          2 |   3.810e-06  9.896e-07 |
 |                                                    |                                   |                        |
 | sum                                                |         470        100        100 |   1.183e-04  5.829e-06 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      0   no errors or warnings to report                                                                        | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:04       number of b quarks in an event

        9.00*10^ 1    7       
        8.70*10^ 1    X       
        8.40*10^ 1    X       
        8.10*10^ 1    X       
        7.80*10^ 1    X       
        7.50*10^ 1    X       
        7.20*10^ 1    X       
        6.90*10^ 1    X       
        6.60*10^ 1    X       
        6.30*10^ 1    X       
        6.00*10^ 1    X       
        5.70*10^ 1    X       
        5.40*10^ 1    X       
        5.10*10^ 1    X       
        4.80*10^ 1    X       
        4.50*10^ 1    X       
        4.20*10^ 1    X       
        3.90*10^ 1    X       
        3.60*10^ 1    X       
        3.30*10^ 1    X       
        3.00*10^ 1    X       
        2.70*10^ 1    X       
        2.40*10^ 1    X       
        2.10*10^ 1    X       
        1.80*10^ 1    X       
        1.50*10^ 1    X       
        1.20*10^ 1    X 7     
        0.90*10^ 1    X X     
        0.60*10^ 1    X X     
        0.30*10^ 1    X X     

          Contents            
            *10^ 1  0080100000
            *10^ 0  0090100000
            *10^-1  0000000000
            *10^-2  0000000000

          Low edge  -         
            *10^ 0  0012345678
            *10^-1  5555555555
            *10^-2  0000000000

   Entries  =         100    Mean =  2.2200e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  6.2578e-01    Overflow  =  0.0000e+00    High edge =  9.5000e+00


  2013-09-20 16:04       number of times same event is used

        4.05*10^ 1  7         
        3.90*10^ 1  X         
        3.75*10^ 1  X         
        3.60*10^ 1  X         
        3.45*10^ 1  X         
        3.30*10^ 1  X         
        3.15*10^ 1  X         
        3.00*10^ 1  X         
        2.85*10^ 1  X         
        2.70*10^ 1  X3        
        2.55*10^ 1  XX        
        2.40*10^ 1  XX        
        2.25*10^ 1  XX        
        2.10*10^ 1  XX        
        1.95*10^ 1  XX7       
        1.80*10^ 1  XXX       
        1.65*10^ 1  XXX       
        1.50*10^ 1  XXX       
        1.35*10^ 1  XXX       
        1.20*10^ 1  XXX       
        1.05*10^ 1  XXX       
        0.90*10^ 1  XXX       
        0.75*10^ 1  XXX       
        0.60*10^ 1  XXXX3     
        0.45*10^ 1  XXXXX     
        0.30*10^ 1  XXXXXX    
        0.15*10^ 1  XXXXXX 7  

          Contents            
            *10^ 1  4210000000
            *10^ 0  0696530100
            *10^-1  0000000000
            *10^-2  0000000000

          Low edge  -         
            *10^ 0  0012345678
            *10^-1  5555555555
            *10^-2  0000000000

   Entries  =         100    Mean =  1.2400e+00    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  1.4361e+00    Overflow  =  0.0000e+00    High edge =  9.5000e+00


  2013-09-20 16:04       mass of opposite-sign muon pair

        1.62*10^ 1  7                                                                                                   
        1.56*10^ 1  X                                                                                                   
        1.50*10^ 1  X                                                                                                   
        1.44*10^ 1  X                                                                                                   
        1.38*10^ 1  X                                                                                                   
        1.32*10^ 1  X7                                                                                                  
        1.26*10^ 1  XX                                                                                                  
        1.20*10^ 1  XX                                                                                                  
        1.14*10^ 1  XX                                                                                                  
        1.08*10^ 1  XX                                                                                                  
        1.02*10^ 1  XX                                                                                                  
        0.96*10^ 1  XX                                                                                                  
        0.90*10^ 1  XX                                                                                                  
        0.84*10^ 1  XX 3                                                                                                
        0.78*10^ 1  XX X                                                                                                
        0.72*10^ 1  XX7X 7                                                                                              
        0.66*10^ 1  XXXX X                                                                                              
        0.60*10^ 1  XXXX X                                                                                              
        0.54*10^ 1  XXXX X3                                                                                             
        0.48*10^ 1  XXXX XX                                                                                             
        0.42*10^ 1  XXXX XX 7                                                                                           
        0.36*10^ 1  XXXX XX X                                                                                           
        0.30*10^ 1  XXXXXXXXX    X                                                                                      
        0.24*10^ 1  XXXXXXXXX  3 X      3  3                                                                            
        0.18*10^ 1  XXXXXXXXX  X X      X  X                                                                            
        0.12*10^ 1  XXXXXXXXX 7X7X777 77X 7X7 7 7    777  7           7                   7          7  7               
        0.06*10^ 1  XXXXXXXXX XXXXXXX XXX XXX X X    XXX  X           X                   X          X  X               

          Contents                                                                                                      
            *10^ 1  1100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  6378375340121311101120121010100001110010000000000010000000000000000000100000000001001000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =          94    Mean =  1.0681e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  9.4000e+01    Rms  =  1.5925e+01    Overflow  =  0.0000e+00    High edge =  1.0000e+02


  2013-09-20 16:04       mass of same-sign muon pair

        9.00*10^ 0    X                                                                                                 
        8.70*10^ 0    X                                                                                                 
        8.40*10^ 0    X                                                                                                 
        8.10*10^ 0    X                                                                                                 
        7.80*10^ 0    X                                                                                                 
        7.50*10^ 0    X                                                                                                 
        7.20*10^ 0  3 X                                                                                                 
        6.90*10^ 0  X X                                                                                                 
        6.60*10^ 0  X X                                                                                                 
        6.30*10^ 0  X X                                                                                                 
        6.00*10^ 0  X XX                                                                                                
        5.70*10^ 0  X XX                                                                                                
        5.40*10^ 0  X XX                                                                                                
        5.10*10^ 0  X7XX   7  7                                                                                         
        4.80*10^ 0  XXXX   X  X                                                                                         
        4.50*10^ 0  XXXX   X  X                                                                                         
        4.20*10^ 0  XXXX  3X  X        3                                                                                
        3.90*10^ 0  XXXX  XX  X        X                                                                                
        3.60*10^ 0  XXXX  XX  X        X                                                                                
        3.30*10^ 0  XXXX  XX  X        X                                                                                
        3.00*10^ 0  XXXX  XX  X        X                                                                                
        2.70*10^ 0  XXXX  XX  X        X                                                                                
        2.40*10^ 0  XXXX  XX  X        X                                                                                
        2.10*10^ 0  XXXX77XX7 X7     7 X777     7             7                                                         
        1.80*10^ 0  XXXXXXXXX XX     X XXXX     X             X                                                         
        1.50*10^ 0  XXXXXXXXX XX     X XXXX     X             X                                                         
        1.20*10^ 0  XXXXXXXXX3XX3 333X XXXX3 3  X33 33  33333 X       33  3       3                                    3
        0.90*10^ 0  XXXXXXXXXXXXX XXXX XXXXX X  XXX XX  XXXXX X       XX  X       X                                    X
        0.60*10^ 0  XXXXXXXXXXXXX XXXX XXXXX X  XXX XX  XXXXX X       XX  X       X                                    X
        0.30*10^ 0  XXXXXXXXXXXXX XXXX XXXXX X  XXX XX  XXXXX X       XX  X       X                                    X

          Contents                                                                                                      
            *10^ 0  7596224521521011120422210100211011001111102000000011001000000010000000000000000000000000000000000001
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 1  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^ 0  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =          87    Mean =  1.5919e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  8.6000e+01    Rms  =  1.7240e+01    Overflow  =  1.0000e+00    High edge =  1.0000e+02

pythia8-8.1.86.orig/examples/outref/out250000644000175000017500000103134612357054720016377 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:07:54    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 

 *-----------------------  SusyLesHouches SUSY/BSM Interface  ------------------------*
 | Last Change 01 Aug 2012 - P. Skands
 | Parsing: main25.lhe
 | (SLHA::readFile) line 15 - storing QNUMBERS for id = 9000006 sextet 
 *------------------------------------------------------------------------------------*
 | 
 |   Spectrum Calculator was:   unknown   version: unknown
 |   Read  spectrum from: main25.lhe
 | 
 |  ~g                  m
 |     1000021     70.000
 | 
 |  ~d                  m     ~dL     ~sL     ~bL     ~dR     ~sR     ~bR
 |     1000001  10000.000   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000003  10000.000   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000005  10000.000   0.000   0.000   0.938   0.000   0.000   0.346  
 |     2000001  10000.000   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000003  10000.000   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000005  10000.000   0.000   0.000  -0.346   0.000   0.000   0.938  
 | 
 |  ~u                  m     ~uL     ~cL     ~tL     ~uR     ~cR     ~tR
 |     1000002   1000.000   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000004   1000.000   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000006  10000.000   0.000   0.000   0.553   0.000   0.000   0.833  
 |     2000002   1000.000   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000004   1000.000   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000006  10000.000   0.000   0.000   0.833   0.000   0.000  -0.553  
 | 
 |  ~e                  m     ~eL    ~muL   ~tauL     ~eR    ~muR   ~tauR
 |     1000011  20275.952   1.000   0.000   0.000   0.000   0.000   0.000  
 |     1000013  20275.952   0.000   1.000   0.000   0.000   0.000   0.000  
 |     1000015  23451.856   0.000   0.000   0.282   0.000   0.000   0.959  
 |     2000011  24407.125   0.000   0.000   0.000   1.000   0.000   0.000  
 |     2000013  24407.125   0.000   0.000   0.000   0.000   1.000   0.000  
 |     2000015  20668.792   0.000   0.000   0.959   0.000   0.000  -0.282  
 | 
 |  ~nu                 m   ~nu_e  ~nu_mu ~nu_tau
 |     1000012  18508.967   1.000   0.000   0.000  
 |     1000014  18508.967   0.000   1.000   0.000  
 |     1000016  28454.038   0.000   0.000   1.000  
 | 
 |  ~chi0               m      ~B    ~W_3    ~H_1    ~H_2
 |     1000022     40.000   1.000   0.000   0.000   0.000  
 |     1000023     60.000   0.000   1.000   0.000   0.000  
 |     1000025     70.000   0.000   0.000   1.000   0.000  
 |     1000035     80.000   0.000   0.000   0.000   1.000  
 | 
 |  ~chi+               m   U:   ~W      ~H  |  V:   ~W      ~H
 |     1000024  18169.250     0.915  -0.402  |    0.972  -0.236  
 |     1000037  27832.806     0.402   0.915  |    0.236   0.972  
 | 
 |  Higgs      
 |     alpha       -0.114
 |     mu         355.826 (DRbar running value at Q = 464.669 GeV)
 |     tan(beta)    9.749 (DRbar running value at Q = 464.669 GeV)
 |     v          245.016 (DRbar running value at Q = 464.669 GeV)
 |     mA       1.651e+05 (DRbar running value at Q = 464.669 GeV)
 | 
 |  Gauge      
 |     g'          absent
 |     g           absent
 |     g3           1.099 (DRbar running value at Q = 464.669 GeV)
 | 
 *------------------------------------------------------------------------------------*
 | (SLHA::initSUSY) Warning: Block GAUGE not found or incomplete; using sin(thetaW) at mZ

 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 8.000e+03 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Les Houches User Process(es)                  9999 |   3.886e-06 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:frameType                               |                        4 |            1           1           5 | 
 | Beams:LHEF                                    |               main25.lhe |         void                         | 
 | HiggsA3:coup2d                                |                  9.74916 |      1.00000                         | 
 | HiggsA3:coup2H1Z                              |               -0.0117056 |      1.00000                         | 
 | HiggsA3:coup2H2Z                              |                  0.99993 |      1.00000                         | 
 | HiggsA3:coup2l                                |                  0.10257 |      1.00000                         | 
 | HiggsA3:coup2u                                |                  0.10257 |      1.00000                         | 
 | HiggsH1:coup2d                                |                  1.11405 |      1.00000                         | 
 | HiggsH1:coup2Hchg                             |                  0.58110 |          0.0                         | 
 | HiggsH1:coup2l                                |                  0.99873 |      1.00000                         | 
 | HiggsH1:coup2u                                |                  0.99873 |      1.00000                         | 
 | HiggsH1:coup2W                                |                  0.99993 |      1.00000                         | 
 | HiggsH1:coup2Z                                |                  0.99993 |      1.00000                         | 
 | HiggsH2:coup2A3A3                             |                  0.20999 |      1.00000                         | 
 | HiggsH2:coup2d                                |                  9.73678 |      1.00000                         | 
 | HiggsH2:coup2H1H1                             |                 -0.65016 |      1.00000                         | 
 | HiggsH2:coup2Hchg                             |                  0.19199 |          0.0                         | 
 | HiggsH2:coup2HchgW                            |                  0.99993 |          0.0                         | 
 | HiggsH2:coup2l                                |                 -0.11427 |      1.00000                         | 
 | HiggsH2:coup2u                                |                 -0.11427 |      1.00000                         | 
 | HiggsH2:coup2W                                |               -0.0117056 |      1.00000                         | 
 | HiggsH2:coup2Z                                |               -0.0117056 |      1.00000                         | 
 | HiggsHchg:coup2H1W                            |               -0.0117056 |      1.00000                         | 
 | HiggsHchg:coup2H2W                            |                  0.99993 |          0.0                         | 
 | HiggsHchg:tanBeta                             |                  9.74916 |      5.00000                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | PartonLevel:FSR                               |                      off |           on                         | 
 | PartonLevel:ISR                               |                      off |           on                         | 
 | PartonLevel:MPI                               |                      off |           on                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

      25  h0(H_1)                             1   0   0  110.86439    0.00265  110.73203  110.99675  0.00000e+00   1   1   0   0   0
              0     1   0.0000012    0        1       -1 
              1     1   0.0000003    0        2       -2 
              2     1   0.0003017    0        3       -3 
              3     1   0.0428676    0        4       -4 
              4     1   0.7490199    0        5       -5 
              5     1   0.0000000    0        6       -6 
              6     1   0.0000000    0       11      -11 
              7     1   0.0003065    0       13      -13 
              8     1   0.0865412    0       15      -15 
              9     1   0.0626901    0       21       21 
             10     1   0.0024906    0       22       22 
             11     1   0.0005018    0       22       23 
             12     1   0.0043239    0       23       23 
             13     1   0.0509551    0       24      -24 
             14     1   0.0000000  103  1000022  1000022 
             15     1   0.0000000  103  1000023  1000022 
             16     1   0.0000000  103  1000023  1000023 
             17     1   0.0000000  103  1000025  1000022 
             18     1   0.0000000  103  1000025  1000023 
             19     1   0.0000000  103  1000025  1000025 
             20     1   0.0000000  103  1000035  1000022 
             21     1   0.0000000  103  1000035  1000023 
             22     1   0.0000000  103  1000035  1000025 
             23     1   0.0000000  103  1000035  1000035 
             24     1   0.0000000  103  1000024 -1000024 
             25     1   0.0000000  103  1000024 -1000037 
             26     1   0.0000000  103  1000037 -1000024 
             27     1   0.0000000  103  1000037 -1000037 
             28     1   0.0000000  103  1000001 -1000001 
             29     1   0.0000000  103  2000001 -2000001 
             30     1   0.0000000  103  1000001 -2000001 
             31     1   0.0000000  103 -1000001  2000001 
             32     1   0.0000000  103  1000002 -1000002 
             33     1   0.0000000  103  2000002 -2000002 
             34     1   0.0000000  103  1000002 -2000002 
             35     1   0.0000000  103 -1000002  2000002 
             36     1   0.0000000  103  1000003 -1000003 
             37     1   0.0000000  103  2000003 -2000003 
             38     1   0.0000000  103  1000003 -2000003 
             39     1   0.0000000  103 -1000003  2000003 
             40     1   0.0000000  103  1000004 -1000004 
             41     1   0.0000000  103  2000004 -2000004 
             42     1   0.0000000  103  1000004 -2000004 
             43     1   0.0000000  103 -1000004  2000004 
             44     1   0.0000000  103  1000005 -1000005 
             45     1   0.0000000  103  2000005 -2000005 
             46     1   0.0000000  103  1000005 -2000005 
             47     1   0.0000000  103 -1000005  2000005 
             48     1   0.0000000  103  1000006 -1000006 
             49     1   0.0000000  103  2000006 -2000006 
             50     1   0.0000000  103  1000006 -2000006 
             51     1   0.0000000  103 -1000006  2000006 
             52     1   0.0000000  103  1000011 -1000011 
             53     1   0.0000000  103  2000011 -2000011 
             54     1   0.0000000  103  1000011 -2000011 
             55     1   0.0000000  103 -1000011  2000011 
             56     1   0.0000000  103  1000012 -1000012 
             57     1   0.0000000  103  2000012 -2000012 
             58     1   0.0000000  103  1000012 -2000012 
             59     1   0.0000000  103 -1000012  2000012 
             60     1   0.0000000  103  1000013 -1000013 
             61     1   0.0000000  103  2000013 -2000013 
             62     1   0.0000000  103  1000013 -2000013 
             63     1   0.0000000  103 -1000013  2000013 
             64     1   0.0000000  103  1000014 -1000014 
             65     1   0.0000000  103  2000014 -2000014 
             66     1   0.0000000  103  1000014 -2000014 
             67     1   0.0000000  103 -1000014  2000014 
             68     1   0.0000000  103  1000015 -1000015 
             69     1   0.0000000  103  2000015 -2000015 
             70     1   0.0000000  103  1000015 -2000015 
             71     1   0.0000000  103 -1000015  2000015 
             72     1   0.0000000  103  1000016 -1000016 
             73     1   0.0000000  103  2000016 -2000016 
             74     1   0.0000000  103  1000016 -2000016 
             75     1   0.0000000  103 -1000016  2000016 

      35  H0(H_2)                             1   0   0  398.30159    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   0   0
              0     1   0.0000000    0        1       -1 
              1     1   0.0000000    0        2       -2 
              2     1   0.0000000    0        3       -3 
              3     1   0.0000000    0        4       -4 
              4     1   0.0000000    0        5       -5 
              5     1   0.0000000    0        6       -6 
              6     1   0.0000000    0       11      -11 
              7     1   0.0000000    0       13      -13 
              8     1   0.0000000    0       15      -15 
              9     1   0.0000000    0       21       21 
             10     1   0.0000000    0       22       22 
             11     1   0.0000000    0       22       23 
             12     1   0.0000000    0       23       23 
             13     1   0.0000000    0       24      -24 
             14     1   0.0000000    0       23       25 
             15     1   0.0000000    0       25       25 
             16     1   0.0000000    0       24      -37 
             17     1   0.0000000    0       37      -24 
             18     1   0.0000000    0       23       36 
             19     1   0.0000000    0       25       36 
             20     1   0.0000000    0       36       36 
             21     1   0.0000000  103  1000022  1000022 
             22     1   0.0000000  103  1000023  1000022 
             23     1   0.0000000  103  1000023  1000023 
             24     1   0.0000000  103  1000025  1000022 
             25     1   0.0000000  103  1000025  1000023 
             26     1   0.0000000  103  1000025  1000025 
             27     1   0.0000000  103  1000035  1000022 
             28     1   0.0000000  103  1000035  1000023 
             29     1   0.0000000  103  1000035  1000025 
             30     1   0.0000000  103  1000035  1000035 
             31     1   0.0000000  103  1000024 -1000024 
             32     1   0.0000000  103  1000024 -1000037 
             33     1   0.0000000  103  1000037 -1000024 
             34     1   0.0000000  103  1000037 -1000037 
             35     1   0.0000000  103  1000001 -1000001 
             36     1   0.0000000  103  2000001 -2000001 
             37     1   0.0000000  103  1000001 -2000001 
             38     1   0.0000000  103 -1000001  2000001 
             39     1   0.0000000  103  1000002 -1000002 
             40     1   0.0000000  103  2000002 -2000002 
             41     1   0.0000000  103  1000002 -2000002 
             42     1   0.0000000  103 -1000002  2000002 
             43     1   0.0000000  103  1000003 -1000003 
             44     1   0.0000000  103  2000003 -2000003 
             45     1   0.0000000  103  1000003 -2000003 
             46     1   0.0000000  103 -1000003  2000003 
             47     1   0.0000000  103  1000004 -1000004 
             48     1   0.0000000  103  2000004 -2000004 
             49     1   0.0000000  103  1000004 -2000004 
             50     1   0.0000000  103 -1000004  2000004 
             51     1   0.0000000  103  1000005 -1000005 
             52     1   0.0000000  103  2000005 -2000005 
             53     1   0.0000000  103  1000005 -2000005 
             54     1   0.0000000  103 -1000005  2000005 
             55     1   0.0000000  103  1000006 -1000006 
             56     1   0.0000000  103  2000006 -2000006 
             57     1   0.0000000  103  1000006 -2000006 
             58     1   0.0000000  103 -1000006  2000006 
             59     1   0.0000000  103  1000011 -1000011 
             60     1   0.0000000  103  2000011 -2000011 
             61     1   0.0000000  103  1000011 -2000011 
             62     1   0.0000000  103 -1000011  2000011 
             63     1   0.0000000  103  1000012 -1000012 
             64     1   0.0000000  103  2000012 -2000012 
             65     1   0.0000000  103  1000012 -2000012 
             66     1   0.0000000  103 -1000012  2000012 
             67     1   0.0000000  103  1000013 -1000013 
             68     1   0.0000000  103  2000013 -2000013 
             69     1   0.0000000  103  1000013 -2000013 
             70     1   0.0000000  103 -1000013  2000013 
             71     1   0.0000000  103  1000014 -1000014 
             72     1   0.0000000  103  2000014 -2000014 
             73     1   0.0000000  103  1000014 -2000014 
             74     1   0.0000000  103 -1000014  2000014 
             75     1   0.0000000  103  1000015 -1000015 
             76     1   0.0000000  103  2000015 -2000015 
             77     1   0.0000000  103  1000015 -2000015 
             78     1   0.0000000  103 -1000015  2000015 
             79     1   0.0000000  103  1000016 -1000016 
             80     1   0.0000000  103  2000016 -2000016 
             81     1   0.0000000  103  1000016 -2000016 
             82     1   0.0000000  103 -1000016  2000016 

      36  A0(H_3)                             1   0   0  397.91947    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   0   0
              0     1   0.0000000    0        1       -1 
              1     1   0.0000000    0        2       -2 
              2     1   0.0000000    0        3       -3 
              3     1   0.0000000    0        4       -4 
              4     1   0.0000000    0        5       -5 
              5     1   0.0000000    0        6       -6 
              6     1   0.0000000    0       11      -11 
              7     1   0.0000000    0       13      -13 
              8     1   0.0000000    0       15      -15 
              9     1   0.0000000    0       21       21 
             10     1   0.0000000    0       22       22 
             11     1   0.0000000    0       22       23 
             12     1   0.0000000    0       23       23 
             13     1   0.0000000    0       24      -24 
             14     1   0.0000000    0       23       25 
             15     1   0.0000000    0       25       25 
             16     1   0.0000000    0       24      -37 
             17     1   0.0000000    0       37      -24 
             18     1   0.0000000  103  1000022  1000022 
             19     1   0.0000000  103  1000023  1000022 
             20     1   0.0000000  103  1000023  1000023 
             21     1   0.0000000  103  1000025  1000022 
             22     1   0.0000000  103  1000025  1000023 
             23     1   0.0000000  103  1000025  1000025 
             24     1   0.0000000  103  1000035  1000022 
             25     1   0.0000000  103  1000035  1000023 
             26     1   0.0000000  103  1000035  1000025 
             27     1   0.0000000  103  1000035  1000035 
             28     1   0.0000000  103  1000024 -1000024 
             29     1   0.0000000  103  1000024 -1000037 
             30     1   0.0000000  103  1000037 -1000024 
             31     1   0.0000000  103  1000037 -1000037 
             32     1   0.0000000  103  1000001 -1000001 
             33     1   0.0000000  103  2000001 -2000001 
             34     1   0.0000000  103  1000001 -2000001 
             35     1   0.0000000  103 -1000001  2000001 
             36     1   0.0000000  103  1000002 -1000002 
             37     1   0.0000000  103  2000002 -2000002 
             38     1   0.0000000  103  1000002 -2000002 
             39     1   0.0000000  103 -1000002  2000002 
             40     1   0.0000000  103  1000003 -1000003 
             41     1   0.0000000  103  2000003 -2000003 
             42     1   0.0000000  103  1000003 -2000003 
             43     1   0.0000000  103 -1000003  2000003 
             44     1   0.0000000  103  1000004 -1000004 
             45     1   0.0000000  103  2000004 -2000004 
             46     1   0.0000000  103  1000004 -2000004 
             47     1   0.0000000  103 -1000004  2000004 
             48     1   0.0000000  103  1000005 -1000005 
             49     1   0.0000000  103  2000005 -2000005 
             50     1   0.0000000  103  1000005 -2000005 
             51     1   0.0000000  103 -1000005  2000005 
             52     1   0.0000000  103  1000006 -1000006 
             53     1   0.0000000  103  2000006 -2000006 
             54     1   0.0000000  103  1000006 -2000006 
             55     1   0.0000000  103 -1000006  2000006 
             56     1   0.0000000  103  1000011 -1000011 
             57     1   0.0000000  103  2000011 -2000011 
             58     1   0.0000000  103  1000011 -2000011 
             59     1   0.0000000  103 -1000011  2000011 
             60     1   0.0000000  103  1000012 -1000012 
             61     1   0.0000000  103  2000012 -2000012 
             62     1   0.0000000  103  1000012 -2000012 
             63     1   0.0000000  103 -1000012  2000012 
             64     1   0.0000000  103  1000013 -1000013 
             65     1   0.0000000  103  2000013 -2000013 
             66     1   0.0000000  103  1000013 -2000013 
             67     1   0.0000000  103 -1000013  2000013 
             68     1   0.0000000  103  1000014 -1000014 
             69     1   0.0000000  103  2000014 -2000014 
             70     1   0.0000000  103  1000014 -2000014 
             71     1   0.0000000  103 -1000014  2000014 
             72     1   0.0000000  103  1000015 -1000015 
             73     1   0.0000000  103  2000015 -2000015 
             74     1   0.0000000  103  1000015 -2000015 
             75     1   0.0000000  103 -1000015  2000015 
             76     1   0.0000000  103  1000016 -1000016 
             77     1   0.0000000  103  2000016 -2000016 
             78     1   0.0000000  103  1000016 -2000016 
             79     1   0.0000000  103 -1000016  2000016 

      37  H+               H-                 1   3   0  406.25628    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   1   0
              0     1   0.0000000    0       -1        2 
              1     1   0.0000000    0       -3        4 
              2     1   0.0000000    0       -5        6 
              3     1   0.0000000    0      -11       12 
              4     1   0.0000000    0      -13       14 
              5     1   0.0000000    0      -15       16 
              6     1   0.0000000    0       24       25 
              7     1   0.0000000  103  1000022  1000024 
              8     1   0.0000000  103  1000022  1000037 
              9     1   0.0000000  103  1000023  1000024 
             10     1   0.0000000  103  1000023  1000037 
             11     1   0.0000000  103  1000025  1000024 
             12     1   0.0000000  103  1000025  1000037 
             13     1   0.0000000  103  1000035  1000024 
             14     1   0.0000000  103  1000035  1000037 
             15     1   0.0000000  103  1000006 -1000005 
             16     1   0.0000000  103  2000006 -1000005 
             17     1   0.0000000  103  1000006 -2000005 
             18     1   0.0000000  103  2000006 -2000005 
             19     1   0.0000000  103 -1000001  1000002 
             20     1   0.0000000  103 -1000003  1000004 
             21     1   0.0000000  103 -1000011  1000012 
             22     1   0.0000000  103 -1000013  1000014 
             23     1   0.0000000  103 -1000015  1000016 
             24     1   0.0000000  103 -2000015  1000016 

 1000001  ~d_L             ~d_Lbar            1  -1   1  1.000e+04  6.882e-04  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        1 
              1     1   0.0000000  103  1000039        3 
              2     1   0.0000000  103  1000039        5 
              3     1   0.0000000  103 -1000024        2 
              4     1   0.0000000  103 -1000037        2 
              5     1   0.0000000  103 -1000024        4 
              6     1   0.0000000  103 -1000037        4 
              7     1   0.0000000  103 -1000024        6 
              8     1   0.0000000  103 -1000037        6 
              9     1   0.0000192  103  1000022        1 
             10     1   0.0000000  103  1000022        3 
             11     1   0.0000000  103  1000022        5 
             12     1   0.0005732  103  1000023        1 
             13     1   0.0000000  103  1000023        3 
             14     1   0.0000000  103  1000023        5 
             15     1   0.0000000  103  1000025        1 
             16     1   0.0000000  103  1000025        3 
             17     1   0.0000000  103  1000025        5 
             18     1   0.0000000  103  1000035        1 
             19     1   0.0000000  103  1000035        3 
             20     1   0.0000000  103  1000035        5 
             21     1   0.0000000  103  1000002      -24 
             22     1   0.0000000  103  1000004      -24 
             23     1   0.0000000  103  1000006      -24 
             24     1   0.0000000  103  2000002      -24 
             25     1   0.0000000  103  2000004      -24 
             26     1   0.0000000  103  2000006      -24 
             27     1   0.0000000  103  1000002      -37 
             28     1   0.0000000  103  1000004      -37 
             29     1   0.0000000  103  1000006      -37 
             30     1   0.0000000  103  2000002      -37 
             31     1   0.0000000  103  2000004      -37 
             32     1   0.0000000  103  2000006      -37 
             33     1   0.9994076  103  1000021        1 
             34     1   0.0000000  103  1000021        2 
             35     1   0.0000000  103  1000021        5 
             36     1   0.0000000  103      -12        1 
             37     1   0.0000000  103      -12        3 
             38     1   0.0000000  103      -12        5 
             39     1   0.0000000  103      -14        1 
             40     1   0.0000000  103      -14        3 
             41     1   0.0000000  103      -14        5 
             42     1   0.0000000  103      -16        1 
             43     1   0.0000000  103      -16        3 
             44     1   0.0000000  103      -16        5 
             45     1   0.0000000  103       12        1 
             46     1   0.0000000  103       11        2 
             47     1   0.0000000  103       12        3 
             48     1   0.0000000  103       11        4 
             49     1   0.0000000  103       12        5 
             50     1   0.0000000  103       11        6 
             51     1   0.0000000  103       14        1 
             52     1   0.0000000  103       13        2 
             53     1   0.0000000  103       14        3 
             54     1   0.0000000  103       13        4 
             55     1   0.0000000  103       14        5 
             56     1   0.0000000  103       13        6 
             57     1   0.0000000  103       16        1 
             58     1   0.0000000  103       15        2 
             59     1   0.0000000  103       16        3 
             60     1   0.0000000  103       15        4 
             61     1   0.0000000  103       16        5 
             62     1   0.0000000  103       15        6 
             63     1   0.0000000  103       -2       -3 
             64     1   0.0000000  103       -2       -5 
             65     1   0.0000000  103       -4       -3 
             66     1   0.0000000  103       -4       -5 
             67     1   0.0000000  103       -6       -3 
             68     1   0.0000000  103       -6       -5 

 1000002  ~u_L             ~u_Lbar            1   2   1  1.000e+03  6.816e-03  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        2 
              1     1   0.0000000  103  1000039        4 
              2     1   0.0000000  103  1000039        6 
              3     1   0.0000000  103  1000024        1 
              4     1   0.0000000  103  1000024        3 
              5     1   0.0000000  103  1000024        5 
              6     1   0.0000000  103  1000037        1 
              7     1   0.0000000  103  1000037        3 
              8     1   0.0000000  103  1000037        5 
              9     1   0.0000193  103  1000022        2 
             10     1   0.0000000  103  1000022        4 
             11     1   0.0000000  103  1000022        6 
             12     1   0.0005747  103  1000023        2 
             13     1   0.0000000  103  1000023        4 
             14     1   0.0000000  103  1000023        6 
             15     1   0.0000000  103  1000025        2 
             16     1   0.0000000  103  1000025        4 
             17     1   0.0000000  103  1000025        6 
             18     1   0.0000000  103  1000035        2 
             19     1   0.0000000  103  1000035        4 
             20     1   0.0000000  103  1000035        6 
             21     1   0.0000000  103  1000001      -24 
             22     1   0.0000000  103  1000003      -24 
             23     1   0.0000000  103  1000005      -24 
             24     1   0.0000000  103  2000001      -24 
             25     1   0.0000000  103  2000003      -24 
             26     1   0.0000000  103  2000005      -24 
             27     1   0.0000000  103  1000001      -37 
             28     1   0.0000000  103  1000003      -37 
             29     1   0.0000000  103  1000005      -37 
             30     1   0.0000000  103  2000001      -37 
             31     1   0.0000000  103  2000003      -37 
             32     1   0.0000000  103  2000005      -37 
             33     1   0.9994060  103  1000021        2 
             34     1   0.0000000  103  1000021        4 
             35     1   0.0000000  103  1000021        6 
             36     1   0.0000000  103      -11        1 
             37     1   0.0000000  103      -11        3 
             38     1   0.0000000  103      -11        5 
             39     1   0.0000000  103      -13        1 
             40     1   0.0000000  103      -13        3 
             41     1   0.0000000  103      -13        5 
             42     1   0.0000000  103      -15        1 
             43     1   0.0000000  103      -15        3 
             44     1   0.0000000  103      -15        5 
             45     1   0.0000000  103       -1       -3 
             46     1   0.0000000  103       -1       -5 
             47     1   0.0000000  103       -3       -5 

 1000003  ~s_L             ~s_Lbar            1  -1   1  1.000e+04  4.077e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        1 
              1     1   0.0000000  103  1000039        3 
              2     1   0.0000000  103  1000039        5 
              3     1   0.0000000  103 -1000024        2 
              4     1   0.0000000  103 -1000037        2 
              5     1   0.0000000  103 -1000024        4 
              6     1   0.0000000  103 -1000037        4 
              7     1   0.0000000  103 -1000024        6 
              8     1   0.0000000  103 -1000037        6 
              9     1   0.0000000  103  1000022        1 
             10     1   0.0323351  103  1000022        3 
             11     1   0.0000000  103  1000022        5 
             12     1   0.0000000  103  1000023        1 
             13     1   0.9676649  103  1000023        3 
             14     1   0.0000000  103  1000023        5 
             15     1   0.0000000  103  1000025        1 
             16     1   0.0000000  103  1000025        3 
             17     1   0.0000000  103  1000025        5 
             18     1   0.0000000  103  1000035        1 
             19     1   0.0000000  103  1000035        3 
             20     1   0.0000000  103  1000035        5 
             21     1   0.0000000  103  1000002      -24 
             22     1   0.0000000  103  1000004      -24 
             23     1   0.0000000  103  1000006      -24 
             24     1   0.0000000  103  2000002      -24 
             25     1   0.0000000  103  2000004      -24 
             26     1   0.0000000  103  2000006      -24 
             27     1   0.0000000  103  1000002      -37 
             28     1   0.0000000  103  1000004      -37 
             29     1   0.0000000  103  1000006      -37 
             30     1   0.0000000  103  2000002      -37 
             31     1   0.0000000  103  2000004      -37 
             32     1   0.0000000  103  2000006      -37 
             33     1   0.0000000  103  1000021        1 
             34     1   0.0000000  103  1000021        2 
             35     1   0.0000000  103  1000021        5 
             36     1   0.0000000  103      -12        1 
             37     1   0.0000000  103      -12        3 
             38     1   0.0000000  103      -12        5 
             39     1   0.0000000  103      -14        1 
             40     1   0.0000000  103      -14        3 
             41     1   0.0000000  103      -14        5 
             42     1   0.0000000  103      -16        1 
             43     1   0.0000000  103      -16        3 
             44     1   0.0000000  103      -16        5 
             45     1   0.0000000  103       12        1 
             46     1   0.0000000  103       11        2 
             47     1   0.0000000  103       12        3 
             48     1   0.0000000  103       11        4 
             49     1   0.0000000  103       12        5 
             50     1   0.0000000  103       11        6 
             51     1   0.0000000  103       14        1 
             52     1   0.0000000  103       13        2 
             53     1   0.0000000  103       14        3 
             54     1   0.0000000  103       13        4 
             55     1   0.0000000  103       14        5 
             56     1   0.0000000  103       13        6 
             57     1   0.0000000  103       16        1 
             58     1   0.0000000  103       15        2 
             59     1   0.0000000  103       16        3 
             60     1   0.0000000  103       15        4 
             61     1   0.0000000  103       16        5 
             62     1   0.0000000  103       15        6 
             63     1   0.0000000  103       -2       -1 
             64     1   0.0000000  103       -2       -5 
             65     1   0.0000000  103       -4       -1 
             66     1   0.0000000  103       -4       -5 
             67     1   0.0000000  103       -6       -1 
             68     1   0.0000000  103       -6       -5 

 1000004  ~c_L             ~c_Lbar            1   2   1  1.000e+03  6.816e-03  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        2 
              1     1   0.0000000  103  1000039        4 
              2     1   0.0000000  103  1000039        6 
              3     1   0.0000000  103  1000024        1 
              4     1   0.0000000  103  1000024        3 
              5     1   0.0000000  103  1000024        5 
              6     1   0.0000000  103  1000037        1 
              7     1   0.0000000  103  1000037        3 
              8     1   0.0000000  103  1000037        5 
              9     1   0.0000000  103  1000022        2 
             10     1   0.0000193  103  1000022        4 
             11     1   0.0000000  103  1000022        6 
             12     1   0.0000000  103  1000023        2 
             13     1   0.0005747  103  1000023        4 
             14     1   0.0000000  103  1000023        6 
             15     1   0.0000000  103  1000025        2 
             16     1   0.0000000  103  1000025        4 
             17     1   0.0000000  103  1000025        6 
             18     1   0.0000000  103  1000035        2 
             19     1   0.0000000  103  1000035        4 
             20     1   0.0000000  103  1000035        6 
             21     1   0.0000000  103  1000001      -24 
             22     1   0.0000000  103  1000003      -24 
             23     1   0.0000000  103  1000005      -24 
             24     1   0.0000000  103  2000001      -24 
             25     1   0.0000000  103  2000003      -24 
             26     1   0.0000000  103  2000005      -24 
             27     1   0.0000000  103  1000001      -37 
             28     1   0.0000000  103  1000003      -37 
             29     1   0.0000000  103  1000005      -37 
             30     1   0.0000000  103  2000001      -37 
             31     1   0.0000000  103  2000003      -37 
             32     1   0.0000000  103  2000005      -37 
             33     1   0.0000000  103  1000021        2 
             34     1   0.9994060  103  1000021        4 
             35     1   0.0000000  103  1000021        6 
             36     1   0.0000000  103      -11        1 
             37     1   0.0000000  103      -11        3 
             38     1   0.0000000  103      -11        5 
             39     1   0.0000000  103      -13        1 
             40     1   0.0000000  103      -13        3 
             41     1   0.0000000  103      -13        5 
             42     1   0.0000000  103      -15        1 
             43     1   0.0000000  103      -15        3 
             44     1   0.0000000  103      -15        5 
             45     1   0.0000000  103       -1       -3 
             46     1   0.0000000  103       -1       -5 
             47     1   0.0000000  103       -3       -5 

 1000005  ~b_1             ~b_1bar            1  -1   1  1.000e+04  6.887e-04  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        1 
              1     1   0.0000000  103  1000039        3 
              2     1   0.0000000  103  1000039        5 
              3     1   0.0000000  103 -1000024        2 
              4     1   0.0000000  103 -1000037        2 
              5     1   0.0000000  103 -1000024        4 
              6     1   0.0000000  103 -1000037        4 
              7     1   0.0000000  103 -1000024        6 
              8     1   0.0000000  103 -1000037        6 
              9     1   0.0000000  103  1000022        1 
             10     1   0.0000000  103  1000022        3 
             11     1   0.0000260  103  1000022        5 
             12     1   0.0000000  103  1000023        1 
             13     1   0.0000000  103  1000023        3 
             14     1   0.0005045  103  1000023        5 
             15     1   0.0000000  103  1000025        1 
             16     1   0.0000000  103  1000025        3 
             17     1   0.0000508  103  1000025        5 
             18     1   0.0000000  103  1000035        1 
             19     1   0.0000000  103  1000035        3 
             20     1   0.0000000  103  1000035        5 
             21     1   0.0000000  103  1000002      -24 
             22     1   0.0000000  103  1000004      -24 
             23     1   0.0000000  103  1000006      -24 
             24     1   0.0000000  103  2000002      -24 
             25     1   0.0000000  103  2000004      -24 
             26     1   0.0000000  103  2000006      -24 
             27     1   0.0000000  103  1000002      -37 
             28     1   0.0000000  103  1000004      -37 
             29     1   0.0000000  103  1000006      -37 
             30     1   0.0000000  103  2000002      -37 
             31     1   0.0000000  103  2000004      -37 
             32     1   0.0000000  103  2000006      -37 
             33     1   0.0000000  103  1000021        1 
             34     1   0.0000000  103  1000021        2 
             35     1   0.9994188  103  1000021        5 
             36     1   0.0000000  103      -12        1 
             37     1   0.0000000  103      -12        3 
             38     1   0.0000000  103      -12        5 
             39     1   0.0000000  103      -14        1 
             40     1   0.0000000  103      -14        3 
             41     1   0.0000000  103      -14        5 
             42     1   0.0000000  103      -16        1 
             43     1   0.0000000  103      -16        3 
             44     1   0.0000000  103      -16        5 
             45     1   0.0000000  103       12        1 
             46     1   0.0000000  103       11        2 
             47     1   0.0000000  103       12        3 
             48     1   0.0000000  103       11        4 
             49     1   0.0000000  103       12        5 
             50     1   0.0000000  103       11        6 
             51     1   0.0000000  103       14        1 
             52     1   0.0000000  103       13        2 
             53     1   0.0000000  103       14        3 
             54     1   0.0000000  103       13        4 
             55     1   0.0000000  103       14        5 
             56     1   0.0000000  103       13        6 
             57     1   0.0000000  103       16        1 
             58     1   0.0000000  103       15        2 
             59     1   0.0000000  103       16        3 
             60     1   0.0000000  103       15        4 
             61     1   0.0000000  103       16        5 
             62     1   0.0000000  103       15        6 
             63     1   0.0000000  103       -2       -1 
             64     1   0.0000000  103       -2       -3 
             65     1   0.0000000  103       -4       -1 
             66     1   0.0000000  103       -4       -3 
             67     1   0.0000000  103       -6       -1 
             68     1   0.0000000  103       -6       -3 

 1000006  ~t_1             ~t_1bar            1   2   1  1.000e+04  7.108e-04  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        2 
              1     1   0.0000000  103  1000039        4 
              2     1   0.0000000  103  1000039        6 
              3     1   0.0000000  103  1000024        1 
              4     1   0.0000000  103  1000024        3 
              5     1   0.0000000  103  1000024        5 
              6     1   0.0000000  103  1000037        1 
              7     1   0.0000000  103  1000037        3 
              8     1   0.0000000  103  1000037        5 
              9     1   0.0000000  103  1000022        2 
             10     1   0.0000000  103  1000022        4 
             11     1   0.0002137  103  1000022        6 
             12     1   0.0000000  103  1000023        2 
             13     1   0.0000000  103  1000023        4 
             14     1   0.0001699  103  1000023        6 
             15     1   0.0000000  103  1000025        2 
             16     1   0.0000000  103  1000025        4 
             17     1   0.0000000  103  1000025        6 
             18     1   0.0000000  103  1000035        2 
             19     1   0.0000000  103  1000035        4 
             20     1   0.0019920  103  1000035        6 
             21     1   0.0000000  103  1000001      -24 
             22     1   0.0000000  103  1000003      -24 
             23     1   0.0000000  103  1000005      -24 
             24     1   0.0000000  103  2000001      -24 
             25     1   0.0000000  103  2000003      -24 
             26     1   0.0000000  103  2000005      -24 
             27     1   0.0000000  103  1000001      -37 
             28     1   0.0000000  103  1000003      -37 
             29     1   0.0000000  103  1000005      -37 
             30     1   0.0000000  103  2000001      -37 
             31     1   0.0000000  103  2000003      -37 
             32     1   0.0000000  103  2000005      -37 
             33     1   0.0000000  103  1000021        2 
             34     1   0.0000000  103  1000021        4 
             35     1   0.9976244  103  1000021        6 
             36     1   0.0000000  103      -11        1 
             37     1   0.0000000  103      -11        3 
             38     1   0.0000000  103      -11        5 
             39     1   0.0000000  103      -13        1 
             40     1   0.0000000  103      -13        3 
             41     1   0.0000000  103      -13        5 
             42     1   0.0000000  103      -15        1 
             43     1   0.0000000  103      -15        3 
             44     1   0.0000000  103      -15        5 
             45     1   0.0000000  103       -1       -3 
             46     1   0.0000000  103       -1       -5 
             47     1   0.0000000  103       -3       -5 

 1000011  ~e_L-            ~e_L+              1  -3   0  2.028e+04  2.696e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       11 
              1     1   0.0610764  103 -1000024       12 
              2     1   0.0000000  103 -1000037       12 
              3     1   0.2170808  103  1000022       11 
              4     1   0.7218429  103  1000023       11 
              5     1   0.0000000  103  1000025       11 
              6     1   0.0000000  103  1000035       11 
              7     1   0.0000000  103  1000012      -24 
              8     1   0.0000000  103  2000012      -24 
              9     1   0.0000000  103  1000012      -37 
             10     1   0.0000000  103       12       13 
             11     1   0.0000000  103       12       15 
             12     1   0.0000000  103       14       11 
             13     1   0.0000000  103       14       15 
             14     1   0.0000000  103       16       11 
             15     1   0.0000000  103       16       13 
             16     1   0.0000000  103      -14       11 
             17     1   0.0000000  103      -14       13 
             18     1   0.0000000  103      -14       15 
             19     1   0.0000000  103      -16       11 
             20     1   0.0000000  103      -16       13 
             21     1   0.0000000  103      -16       15 
             22     1   0.0000000  103       -2        1 
             23     1   0.0000000  103       -2        3 
             24     1   0.0000000  103       -2        5 
             25     1   0.0000000  103       -4        1 
             26     1   0.0000000  103       -4        3 
             27     1   0.0000000  103       -4        5 
             28     1   0.0000000  103       -6        1 
             29     1   0.0000000  103       -6        3 
             30     1   0.0000000  103       -6        5 

 1000012  ~nu_eL           ~nu_eLbar          1   0   0  1.851e+04  2.779e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   0   0
              0     1   0.0000000  103  1000039       12 
              1     1   0.0022123  103  1000024       11 
              2     1   0.0000000  103  1000037       11 
              3     1   0.2306906  103  1000022       12 
              4     1   0.7670971  103  1000023       12 
              5     1   0.0000000  103  1000025       12 
              6     1   0.0000000  103  1000035       12 
              7     1   0.0000000  103  1000011       24 
              8     1   0.0000000  103  2000011       24 
              9     1   0.0000000  103  1000011       37 
             10     1   0.0000000  103  2000011       37 
             11     1   0.0000000  103      -13       11 
             12     1   0.0000000  103      -13       13 
             13     1   0.0000000  103      -13       15 
             14     1   0.0000000  103      -15       11 
             15     1   0.0000000  103      -15       13 
             16     1   0.0000000  103      -15       15 
             17     1   0.0000000  103       -1        1 
             18     1   0.0000000  103       -1        3 
             19     1   0.0000000  103       -1        5 
             20     1   0.0000000  103       -3        1 
             21     1   0.0000000  103       -3        3 
             22     1   0.0000000  103       -3        5 
             23     1   0.0000000  103       -5        1 
             24     1   0.0000000  103       -5        3 
             25     1   0.0000000  103       -5        5 

 1000013  ~mu_L-           ~mu_L+             1  -3   0  2.028e+04  2.696e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       13 
              1     1   0.0610764  103 -1000024       14 
              2     1   0.0000000  103 -1000037       14 
              3     1   0.2170808  103  1000022       13 
              4     1   0.7218429  103  1000023       13 
              5     1   0.0000000  103  1000025       13 
              6     1   0.0000000  103  1000035       13 
              7     1   0.0000000  103  1000014      -24 
              8     1   0.0000000  103  2000014      -24 
              9     1   0.0000000  103  1000014      -37 
             10     1   0.0000000  103  2000014      -37 
             11     1   0.0000000  103       12       13 
             12     1   0.0000000  103       12       15 
             13     1   0.0000000  103       14       11 
             14     1   0.0000000  103       14       15 
             15     1   0.0000000  103       16       11 
             16     1   0.0000000  103       16       13 
             17     1   0.0000000  103      -12       11 
             18     1   0.0000000  103      -12       13 
             19     1   0.0000000  103      -12       15 
             20     1   0.0000000  103      -16       11 
             21     1   0.0000000  103      -16       13 
             22     1   0.0000000  103      -16       15 
             23     1   0.0000000  103       -2        1 
             24     1   0.0000000  103       -2        3 
             25     1   0.0000000  103       -2        5 
             26     1   0.0000000  103       -4        1 
             27     1   0.0000000  103       -4        3 
             28     1   0.0000000  103       -4        5 
             29     1   0.0000000  103       -6        1 
             30     1   0.0000000  103       -6        3 
             31     1   0.0000000  103       -6        5 

 1000014  ~nu_muL          ~nu_muLbar         1   0   0  1.851e+04  2.779e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   0   0
              0     1   0.0000000  103  1000039       14 
              1     1   0.0022123  103  1000024       13 
              2     1   0.0000000  103  1000037       13 
              3     1   0.2306906  103  1000022       14 
              4     1   0.7670971  103  1000023       14 
              5     1   0.0000000  103  1000025       14 
              6     1   0.0000000  103  1000035       14 
              7     1   0.0000000  103  1000013       24 
              8     1   0.0000000  103  2000013       24 
              9     1   0.0000000  103  1000013       37 
             10     1   0.0000000  103  2000013       37 
             11     1   0.0000000  103      -11       11 
             12     1   0.0000000  103      -11       13 
             13     1   0.0000000  103      -11       15 
             14     1   0.0000000  103      -15       11 
             15     1   0.0000000  103      -15       13 
             16     1   0.0000000  103      -15       15 
             17     1   0.0000000  103       -1        1 
             18     1   0.0000000  103       -1        3 
             19     1   0.0000000  103       -1        5 
             20     1   0.0000000  103       -3        1 
             21     1   0.0000000  103       -3        3 
             22     1   0.0000000  103       -3        5 
             23     1   0.0000000  103       -5        1 
             24     1   0.0000000  103       -5        3 
             25     1   0.0000000  103       -5        5 

 1000015  ~tau_1-          ~tau_1+            1  -3   0  2.345e+04  2.784e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       15 
              1     1   0.2398877  103 -1000024       16 
              2     1   0.0000000  103 -1000037       16 
              3     1   0.6836809  103  1000022       15 
              4     1   0.0480726  103  1000023       15 
              5     1   0.0283588  103  1000025       15 
              6     1   0.0000000  103  1000035       15 
              7     1   0.0000000  103  1000016      -24 
              8     1   0.0000000  103  2000016      -24 
              9     1   0.0000000  103  1000016      -37 
             10     1   0.0000000  103  2000016      -37 
             11     1   0.0000000  103       12       13 
             12     1   0.0000000  103       12       15 
             13     1   0.0000000  103       14       11 
             14     1   0.0000000  103       14       15 
             15     1   0.0000000  103       16       11 
             16     1   0.0000000  103       16       13 
             17     1   0.0000000  103      -12       11 
             18     1   0.0000000  103      -12       13 
             19     1   0.0000000  103      -12       15 
             20     1   0.0000000  103      -14       11 
             21     1   0.0000000  103      -14       13 
             22     1   0.0000000  103      -14       15 
             23     1   0.0000000  103       -2        1 
             24     1   0.0000000  103       -2        3 
             25     1   0.0000000  103       -2        5 
             26     1   0.0000000  103       -4        1 
             27     1   0.0000000  103       -4        3 
             28     1   0.0000000  103       -4        5 
             29     1   0.0000000  103       -6        1 
             30     1   0.0000000  103       -6        3 
             31     1   0.0000000  103       -6        5 

 1000016  ~nu_tauL         ~nu_tauLbar        1   0   0  2.845e+04  1.208e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   0   0
              0     1   0.0000000  103  1000039       16 
              1     1   0.9996156  103  1000024       15 
              2     1   0.0003844  103  1000037       15 
              3     1   0.0000000  103  1000022       16 
              4     1   0.0000000  103  1000023       16 
              5     1   0.0000000  103  1000025       16 
              6     1   0.0000000  103  1000035       16 
              7     1   0.0000000  103  1000015       24 
              8     1   0.0000000  103  2000015       24 
              9     1   0.0000000  103  1000015       37 
             10     1   0.0000000  103  2000015       37 
             11     1   0.0000000  103      -11       11 
             12     1   0.0000000  103      -11       13 
             13     1   0.0000000  103      -11       15 
             14     1   0.0000000  103      -13       11 
             15     1   0.0000000  103      -13       13 
             16     1   0.0000000  103      -13       15 
             17     1   0.0000000  103       -1        1 
             18     1   0.0000000  103       -1        3 
             19     1   0.0000000  103       -1        5 
             20     1   0.0000000  103       -3        1 
             21     1   0.0000000  103       -3        3 
             22     1   0.0000000  103       -3        5 
             23     1   0.0000000  103       -5        1 
             24     1   0.0000000  103       -5        3 
             25     1   0.0000000  103       -5        5 

 1000021  ~g                                  2   0   2   70.00000    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   1   0
              0     1   0.0000000  103  1000039       21 
              1     1   0.0000000  103  1000001       -1 
              2     1   0.0000000  103 -1000001        1 
              3     1   0.0000000  103  1000001       -3 
              4     1   0.0000000  103 -1000001        3 
              5     1   0.0000000  103  1000001       -5 
              6     1   0.0000000  103 -1000001        5 
              7     1   0.0000000  103  2000001       -1 
              8     1   0.0000000  103 -2000001        1 
              9     1   0.0000000  103  2000001       -3 
             10     1   0.0000000  103 -2000001        3 
             11     1   0.0000000  103  2000001       -5 
             12     1   0.0000000  103 -2000001        5 
             13     1   0.0000000  103  1000002       -2 
             14     1   0.0000000  103 -1000002        2 
             15     1   0.0000000  103  1000002       -4 
             16     1   0.0000000  103 -1000002        4 
             17     1   0.0000000  103  1000002       -6 
             18     1   0.0000000  103 -1000002        6 
             19     1   0.0000000  103  2000002       -2 
             20     1   0.0000000  103 -2000002        2 
             21     1   0.0000000  103  2000002       -4 
             22     1   0.0000000  103 -2000002        4 
             23     1   0.0000000  103  2000002       -6 
             24     1   0.0000000  103 -2000002        6 
             25     1   0.0000000  103  1000003       -1 
             26     1   0.0000000  103 -1000003        1 
             27     1   0.0000000  103  1000003       -3 
             28     1   0.0000000  103 -1000003        3 
             29     1   0.0000000  103  1000003       -5 
             30     1   0.0000000  103 -1000003        5 
             31     1   0.0000000  103  2000003       -1 
             32     1   0.0000000  103 -2000003        1 
             33     1   0.0000000  103  2000003       -3 
             34     1   0.0000000  103 -2000003        3 
             35     1   0.0000000  103  2000003       -5 
             36     1   0.0000000  103 -2000003        5 
             37     1   0.0000000  103  1000004       -2 
             38     1   0.0000000  103 -1000004        2 
             39     1   0.0000000  103  1000004       -4 
             40     1   0.0000000  103 -1000004        4 
             41     1   0.0000000  103  1000004       -6 
             42     1   0.0000000  103 -1000004        6 
             43     1   0.0000000  103  2000004       -2 
             44     1   0.0000000  103 -2000004        2 
             45     1   0.0000000  103  2000004       -4 
             46     1   0.0000000  103 -2000004        4 
             47     1   0.0000000  103  2000004       -6 
             48     1   0.0000000  103 -2000004        6 
             49     1   0.0000000  103  1000005       -1 
             50     1   0.0000000  103 -1000005        1 
             51     1   0.0000000  103  1000005       -3 
             52     1   0.0000000  103 -1000005        3 
             53     1   0.0000000  103  1000005       -5 
             54     1   0.0000000  103 -1000005        5 
             55     1   0.0000000  103  2000005       -1 
             56     1   0.0000000  103 -2000005        1 
             57     1   0.0000000  103  2000005       -3 
             58     1   0.0000000  103 -2000005        3 
             59     1   0.0000000  103  2000005       -5 
             60     1   0.0000000  103 -2000005        5 
             61     1   0.0000000  103  1000006       -6 
             62     1   0.0000000  103 -1000006        6 
             63     1   0.0000000  103  1000006       -2 
             64     1   0.0000000  103 -1000006        2 
             65     1   0.0000000  103  1000006       -4 
             66     1   0.0000000  103 -1000006        4 
             67     1   0.0000000  103  2000006       -6 
             68     1   0.0000000  103 -2000006        6 
             69     1   0.0000000  103  1000022        1       -1 
             70     1   0.0000000  103  1000022        1       -3 
             71     1   0.0000000  103  1000022        1       -5 
             72     1   0.0000000  103  1000022        3       -1 
             73     1   0.0000000  103  1000022        3       -3 
             74     1   0.0000000  103  1000022        3       -5 
             75     1   0.0000000  103  1000022        5       -1 
             76     1   0.0000000  103  1000022        5       -3 
             77     1   0.0000000  103  1000022        5       -5 
             78     1   0.0000000  103  1000022        2       -2 
             79     1   0.0000000  103  1000022        2       -4 
             80     1   0.0000000  103  1000022        2       -6 
             81     1   0.0000000  103  1000022        4       -2 
             82     1   0.0000000  103  1000022        4       -4 
             83     1   0.0000000  103  1000022        4       -6 
             84     1   0.0000000  103  1000022        6       -2 
             85     1   0.0000000  103  1000022        6       -4 
             86     1   0.0000000  103  1000022        6       -6 
             87     1   0.0000000  103  1000023        1       -1 
             88     1   0.0000000  103  1000023        1       -3 
             89     1   0.0000000  103  1000023        1       -5 
             90     1   0.0000000  103  1000023        3       -1 
             91     1   0.0000000  103  1000023        3       -3 
             92     1   0.0000000  103  1000023        3       -5 
             93     1   0.0000000  103  1000023        5       -1 
             94     1   0.0000000  103  1000023        5       -3 
             95     1   0.0000000  103  1000023        5       -5 
             96     1   0.0000000  103  1000023        2       -2 
             97     1   0.0000000  103  1000023        2       -4 
             98     1   0.0000000  103  1000023        2       -6 
             99     1   0.0000000  103  1000023        4       -2 
            100     1   0.0000000  103  1000023        4       -4 
            101     1   0.0000000  103  1000023        4       -6 
            102     1   0.0000000  103  1000023        6       -2 
            103     1   0.0000000  103  1000023        6       -4 
            104     1   0.0000000  103  1000023        6       -6 
            105     1   0.0000000  103  1000025        1       -1 
            106     1   0.0000000  103  1000025        1       -3 
            107     1   0.0000000  103  1000025        1       -5 
            108     1   0.0000000  103  1000025        3       -1 
            109     1   0.0000000  103  1000025        3       -3 
            110     1   0.0000000  103  1000025        3       -5 
            111     1   0.0000000  103  1000025        5       -1 
            112     1   0.0000000  103  1000025        5       -3 
            113     1   0.0000000  103  1000025        5       -5 
            114     1   0.0000000  103  1000025        2       -2 
            115     1   0.0000000  103  1000025        2       -4 
            116     1   0.0000000  103  1000025        2       -6 
            117     1   0.0000000  103  1000025        4       -2 
            118     1   0.0000000  103  1000025        4       -4 
            119     1   0.0000000  103  1000025        4       -6 
            120     1   0.0000000  103  1000025        6       -2 
            121     1   0.0000000  103  1000025        6       -4 
            122     1   0.0000000  103  1000025        6       -6 
            123     1   0.0000000  103  1000035        1       -1 
            124     1   0.0000000  103  1000035        1       -3 
            125     1   0.0000000  103  1000035        1       -5 
            126     1   0.0000000  103  1000035        3       -1 
            127     1   0.0000000  103  1000035        3       -3 
            128     1   0.0000000  103  1000035        3       -5 
            129     1   0.0000000  103  1000035        5       -1 
            130     1   0.0000000  103  1000035        5       -3 
            131     1   0.0000000  103  1000035        5       -5 
            132     1   0.0000000  103  1000035        2       -2 
            133     1   0.0000000  103  1000035        2       -4 
            134     1   0.0000000  103  1000035        2       -6 
            135     1   0.0000000  103  1000035        4       -2 
            136     1   0.0000000  103  1000035        4       -4 
            137     1   0.0000000  103  1000035        4       -6 
            138     1   0.0000000  103  1000035        6       -2 
            139     1   0.0000000  103  1000035        6       -4 
            140     1   0.0000000  103  1000035        6       -6 
            141     1   0.0000000  103  1000024        1       -2 
            142     1   0.0000000  103  1000024        1       -4 
            143     1   0.0000000  103  1000024        1       -6 
            144     1   0.0000000  103 -1000024       -1        2 
            145     1   0.0000000  103 -1000024       -1        4 
            146     1   0.0000000  103 -1000024       -1        6 
            147     1   0.0000000  103  1000024        3       -2 
            148     1   0.0000000  103  1000024        3       -4 
            149     1   0.0000000  103  1000024        3       -6 
            150     1   0.0000000  103 -1000024       -3        2 
            151     1   0.0000000  103 -1000024       -3        4 
            152     1   0.0000000  103 -1000024       -3        6 
            153     1   0.0000000  103  1000024        5       -2 
            154     1   0.0000000  103  1000024        5       -4 
            155     1   0.0000000  103  1000024        5       -6 
            156     1   0.0000000  103 -1000024       -5        2 
            157     1   0.0000000  103 -1000024       -5        4 
            158     1   0.0000000  103 -1000024       -5        6 
            159     1   0.0000000  103 -1000037       -1        2 
            160     1   0.0000000  103 -1000037       -1        4 
            161     1   0.0000000  103 -1000037       -1        6 
            162     1   0.0000000  103  1000037        3       -2 
            163     1   0.0000000  103  1000037        3       -4 
            164     1   0.0000000  103  1000037        3       -6 
            165     1   0.0000000  103 -1000037       -3        2 
            166     1   0.0000000  103 -1000037       -3        4 
            167     1   0.0000000  103 -1000037       -3        6 
            168     1   0.0000000  103  1000037        5       -2 
            169     1   0.0000000  103  1000037        5       -4 
            170     1   0.0000000  103  1000037        5       -6 
            171     1   0.0000000  103 -1000037       -5        2 
            172     1   0.0000000  103 -1000037       -5        4 
            173     1   0.0000000  103 -1000037       -5        6 
            174     1   0.0000000  103      -12       -1        1 
            175     1   0.0000000  103       12        1       -1 
            176     1   0.0000000  103      -11       -2        1 
            177     1   0.0000000  103       11        2       -1 
            178     1   0.0000000  103      -12       -1        3 
            179     1   0.0000000  103       12        1       -3 
            180     1   0.0000000  103      -11       -2        3 
            181     1   0.0000000  103       11        2       -3 
            182     1   0.0000000  103      -12       -1        5 
            183     1   0.0000000  103       12        1       -5 
            184     1   0.0000000  103      -11       -2        5 
            185     1   0.0000000  103       11        2       -5 
            186     1   0.0000000  103      -12       -3        1 
            187     1   0.0000000  103       12        3       -1 
            188     1   0.0000000  103      -11       -4        1 
            189     1   0.0000000  103       11        4       -1 
            190     1   0.0000000  103      -12       -3        3 
            191     1   0.0000000  103       12        3       -3 
            192     1   0.0000000  103      -11       -4        3 
            193     1   0.0000000  103       11        4       -3 
            194     1   0.0000000  103      -12       -3        5 
            195     1   0.0000000  103       12        3       -5 
            196     1   0.0000000  103      -11       -4        5 
            197     1   0.0000000  103       11        4       -5 
            198     1   0.0000000  103      -12       -5        1 
            199     1   0.0000000  103       12        5       -1 
            200     1   0.0000000  103      -11       -6        1 
            201     1   0.0000000  103       11        6       -1 
            202     1   0.0000000  103      -12       -5        3 
            203     1   0.0000000  103       12        5       -3 
            204     1   0.0000000  103      -11       -6        3 
            205     1   0.0000000  103       11        6       -3 
            206     1   0.0000000  103      -12       -5        5 
            207     1   0.0000000  103       12        5       -5 
            208     1   0.0000000  103      -11       -6        5 
            209     1   0.0000000  103       11        6       -5 
            210     1   0.0000000  103      -14       -1        1 
            211     1   0.0000000  103       14        1       -1 
            212     1   0.0000000  103      -13       -2        1 
            213     1   0.0000000  103       13        2       -1 
            214     1   0.0000000  103      -14       -1        3 
            215     1   0.0000000  103       14        1       -3 
            216     1   0.0000000  103      -13       -2        3 
            217     1   0.0000000  103       13        2       -3 
            218     1   0.0000000  103      -14       -1        5 
            219     1   0.0000000  103       14        1       -5 
            220     1   0.0000000  103      -13       -2        5 
            221     1   0.0000000  103       13        2       -5 
            222     1   0.0000000  103      -14       -3        1 
            223     1   0.0000000  103       14        3       -1 
            224     1   0.0000000  103      -13       -4        1 
            225     1   0.0000000  103       13        4       -1 
            226     1   0.0000000  103      -14       -3        3 
            227     1   0.0000000  103       14        3       -3 
            228     1   0.0000000  103      -13       -4        3 
            229     1   0.0000000  103       13        4       -3 
            230     1   0.0000000  103      -14       -3        5 
            231     1   0.0000000  103       14        3       -5 
            232     1   0.0000000  103      -13       -4        5 
            233     1   0.0000000  103       13        4       -5 
            234     1   0.0000000  103      -14       -5        1 
            235     1   0.0000000  103       14        5       -1 
            236     1   0.0000000  103      -13       -6        1 
            237     1   0.0000000  103       13        6       -1 
            238     1   0.0000000  103      -14       -5        3 
            239     1   0.0000000  103       14        5       -3 
            240     1   0.0000000  103      -13       -6        3 
            241     1   0.0000000  103       13        6       -3 
            242     1   0.0000000  103      -14       -5        5 
            243     1   0.0000000  103       14        5       -5 
            244     1   0.0000000  103      -13       -6        5 
            245     1   0.0000000  103       13        6       -5 
            246     1   0.0000000  103      -16       -1        1 
            247     1   0.0000000  103       16        1       -1 
            248     1   0.0000000  103      -15       -2        1 
            249     1   0.0000000  103       15        2       -1 
            250     1   0.0000000  103      -16       -1        3 
            251     1   0.0000000  103       16        1       -3 
            252     1   0.0000000  103      -15       -2        3 
            253     1   0.0000000  103       15        2       -3 
            254     1   0.0000000  103      -16       -1        5 
            255     1   0.0000000  103       16        1       -5 
            256     1   0.0000000  103      -15       -2        5 
            257     1   0.0000000  103       15        2       -5 
            258     1   0.0000000  103      -16       -3        1 
            259     1   0.0000000  103       16        3       -1 
            260     1   0.0000000  103      -15       -4        1 
            261     1   0.0000000  103       15        4       -1 
            262     1   0.0000000  103      -16       -3        3 
            263     1   0.0000000  103       16        3       -3 
            264     1   0.0000000  103      -15       -4        3 
            265     1   0.0000000  103       15        4       -3 
            266     1   0.0000000  103      -16       -3        5 
            267     1   0.0000000  103       16        3       -5 
            268     1   0.0000000  103      -15       -4        5 
            269     1   0.0000000  103       15        4       -5 
            270     1   0.0000000  103      -16       -5        1 
            271     1   0.0000000  103       16        5       -1 
            272     1   0.0000000  103      -15       -6        1 
            273     1   0.0000000  103       15        6       -1 
            274     1   0.0000000  103      -16       -5        3 
            275     1   0.0000000  103       16        5       -3 
            276     1   0.0000000  103      -15       -6        3 
            277     1   0.0000000  103       15        6       -3 
            278     1   0.0000000  103      -16       -5        5 
            279     1   0.0000000  103       16        5       -5 
            280     1   0.0000000  103      -15       -6        5 
            281     1   0.0000000  103       15        6       -5 
            282     1   0.0000000  103       -2       -1       -3 
            283     1   0.0000000  103        2        1        3 
            284     1   0.0000000  103       -2       -1       -5 
            285     1   0.0000000  103        2        1        5 
            286     1   0.0000000  103       -2       -3       -5 
            287     1   0.0000000  103        2        3        5 
            288     1   0.0000000  103       -4       -1       -3 
            289     1   0.0000000  103        4        1        3 
            290     1   0.0000000  103       -4       -1       -5 
            291     1   0.0000000  103        4        1        5 
            292     1   0.0000000  103       -4       -3       -5 
            293     1   0.0000000  103        4        3        5 
            294     1   0.0000000  103       -6       -1       -3 
            295     1   0.0000000  103        6        1        3 
            296     1   0.0000000  103       -6       -1       -5 
            297     1   0.0000000  103        6        1        5 
            298     1   0.0000000  103       -6       -3       -5 
            299     1   0.0000000  103        6        3        5 

 1000022  ~chi_10                             2   0   0   40.00000    0.00000   20.00000    0.00000  0.00000e+00   1   0   0   0   0
              0     1   0.0000000  103  1000039       22 
              1     1   0.0000000  103  1000039       23 
              2     1   0.0000000  103  1000039       25 
              3     1   0.0000000  103  1000039       35 
              4     1   0.0000000  103  1000039       36 
              5     1   0.0000000  103      -12      -13       11 
              6     1   0.0000000  103       12       13      -11 
              7     1   0.0000000  103      -12      -13       13 
              8     1   0.0000000  103       12       13      -13 
              9     1   0.0000000  103      -12      -13       15 
             10     1   0.0000000  103       12       13      -15 
             11     1   0.0000000  103      -12      -15       11 
             12     1   0.0000000  103       12       15      -11 
             13     1   0.0000000  103      -12      -15       13 
             14     1   0.0000000  103       12       15      -13 
             15     1   0.0000000  103      -12      -15       15 
             16     1   0.0000000  103       12       15      -15 
             17     1   0.0000000  103      -14      -11       11 
             18     1   0.0000000  103       14       11      -11 
             19     1   0.0000000  103      -14      -11       13 
             20     1   0.0000000  103       14       11      -13 
             21     1   0.0000000  103      -14      -11       15 
             22     1   0.0000000  103       14       11      -15 
             23     1   0.0000000  103      -14      -15       11 
             24     1   0.0000000  103       14       15      -11 
             25     1   0.0000000  103      -14      -15       13 
             26     1   0.0000000  103       14       15      -13 
             27     1   0.0000000  103      -14      -15       15 
             28     1   0.0000000  103       14       15      -15 
             29     1   0.0000000  103      -16      -11       11 
             30     1   0.0000000  103       16       11      -11 
             31     1   0.0000000  103      -16      -11       13 
             32     1   0.0000000  103       16       11      -13 
             33     1   0.0000000  103      -16      -11       15 
             34     1   0.0000000  103       16       11      -15 
             35     1   0.0000000  103      -16      -13       11 
             36     1   0.0000000  103       16       13      -11 
             37     1   0.0000000  103      -16      -13       13 
             38     1   0.0000000  103       16       13      -13 
             39     1   0.0000000  103      -16      -13       15 
             40     1   0.0000000  103       16       13      -15 
             41     1   0.0000000  103      -12       -1        1 
             42     1   0.0000000  103       12        1       -1 
             43     1   0.0000000  103      -11       -2        1 
             44     1   0.0000000  103       11        2       -1 
             45     1   0.0000000  103      -12       -1        3 
             46     1   0.0000000  103       12        1       -3 
             47     1   0.0000000  103      -11       -2        3 
             48     1   0.0000000  103       11        2       -3 
             49     1   0.0000000  103      -12       -1        5 
             50     1   0.0000000  103       12        1       -5 
             51     1   0.0000000  103      -11       -2        5 
             52     1   0.0000000  103       11        2       -5 
             53     1   0.0000000  103      -12       -3        1 
             54     1   0.0000000  103       12        3       -1 
             55     1   0.0000000  103      -11       -4        1 
             56     1   0.0000000  103       11        4       -1 
             57     1   0.0000000  103      -12       -3        3 
             58     1   0.0000000  103       12        3       -3 
             59     1   0.0000000  103      -11       -4        3 
             60     1   0.0000000  103       11        4       -3 
             61     1   0.0000000  103      -12       -3        5 
             62     1   0.0000000  103       12        3       -5 
             63     1   0.0000000  103      -11       -4        5 
             64     1   0.0000000  103       11        4       -5 
             65     1   0.0000000  103      -12       -5        1 
             66     1   0.0000000  103       12        5       -1 
             67     1   0.0000000  103      -11       -6        1 
             68     1   0.0000000  103       11        6       -1 
             69     1   0.0000000  103      -12       -5        3 
             70     1   0.0000000  103       12        5       -3 
             71     1   0.0000000  103      -11       -6        3 
             72     1   0.0000000  103       11        6       -3 
             73     1   0.0000000  103      -12       -5        5 
             74     1   0.0000000  103       12        5       -5 
             75     1   0.0000000  103      -11       -6        5 
             76     1   0.0000000  103       11        6       -5 
             77     1   0.0000000  103      -14       -1        1 
             78     1   0.0000000  103       14        1       -1 
             79     1   0.0000000  103      -13       -2        1 
             80     1   0.0000000  103       13        2       -1 
             81     1   0.0000000  103      -14       -1        3 
             82     1   0.0000000  103       14        1       -3 
             83     1   0.0000000  103      -13       -2        3 
             84     1   0.0000000  103       13        2       -3 
             85     1   0.0000000  103      -14       -1        5 
             86     1   0.0000000  103       14        1       -5 
             87     1   0.0000000  103      -13       -2        5 
             88     1   0.0000000  103       13        2       -5 
             89     1   0.0000000  103      -14       -3        1 
             90     1   0.0000000  103       14        3       -1 
             91     1   0.0000000  103      -13       -4        1 
             92     1   0.0000000  103       13        4       -1 
             93     1   0.0000000  103      -14       -3        3 
             94     1   0.0000000  103       14        3       -3 
             95     1   0.0000000  103      -13       -4        3 
             96     1   0.0000000  103       13        4       -3 
             97     1   0.0000000  103      -14       -3        5 
             98     1   0.0000000  103       14        3       -5 
             99     1   0.0000000  103      -13       -4        5 
            100     1   0.0000000  103       13        4       -5 
            101     1   0.0000000  103      -14       -5        1 
            102     1   0.0000000  103       14        5       -1 
            103     1   0.0000000  103      -13       -6        1 
            104     1   0.0000000  103       13        6       -1 
            105     1   0.0000000  103      -14       -5        3 
            106     1   0.0000000  103       14        5       -3 
            107     1   0.0000000  103      -13       -6        3 
            108     1   0.0000000  103       13        6       -3 
            109     1   0.0000000  103      -14       -5        5 
            110     1   0.0000000  103       14        5       -5 
            111     1   0.0000000  103      -13       -6        5 
            112     1   0.0000000  103       13        6       -5 
            113     1   0.0000000  103      -16       -1        1 
            114     1   0.0000000  103       16        1       -1 
            115     1   0.0000000  103      -15       -2        1 
            116     1   0.0000000  103       15        2       -1 
            117     1   0.0000000  103      -16       -1        3 
            118     1   0.0000000  103       16        1       -3 
            119     1   0.0000000  103      -15       -2        3 
            120     1   0.0000000  103       15        2       -3 
            121     1   0.0000000  103      -16       -1        5 
            122     1   0.0000000  103       16        1       -5 
            123     1   0.0000000  103      -15       -2        5 
            124     1   0.0000000  103       15        2       -5 
            125     1   0.0000000  103      -16       -3        1 
            126     1   0.0000000  103       16        3       -1 
            127     1   0.0000000  103      -15       -4        1 
            128     1   0.0000000  103       15        4       -1 
            129     1   0.0000000  103      -16       -3        3 
            130     1   0.0000000  103       16        3       -3 
            131     1   0.0000000  103      -15       -4        3 
            132     1   0.0000000  103       15        4       -3 
            133     1   0.0000000  103      -16       -3        5 
            134     1   0.0000000  103       16        3       -5 
            135     1   0.0000000  103      -15       -4        5 
            136     1   0.0000000  103       15        4       -5 
            137     1   0.0000000  103      -16       -5        1 
            138     1   0.0000000  103       16        5       -1 
            139     1   0.0000000  103      -15       -6        1 
            140     1   0.0000000  103       15        6       -1 
            141     1   0.0000000  103      -16       -5        3 
            142     1   0.0000000  103       16        5       -3 
            143     1   0.0000000  103      -15       -6        3 
            144     1   0.0000000  103       15        6       -3 
            145     1   0.0000000  103      -16       -5        5 
            146     1   0.0000000  103       16        5       -5 
            147     1   0.0000000  103      -15       -6        5 
            148     1   0.0000000  103       15        6       -5 
            149     1   0.0000000  103       -2       -1       -3 
            150     1   0.0000000  103        2        1        3 
            151     1   0.0000000  103       -2       -1       -5 
            152     1   0.0000000  103        2        1        5 
            153     1   0.0000000  103       -2       -3       -5 
            154     1   0.0000000  103        2        3        5 
            155     1   0.0000000  103       -4       -1       -3 
            156     1   0.0000000  103        4        1        3 
            157     1   0.0000000  103       -4       -1       -5 
            158     1   0.0000000  103        4        1        5 
            159     1   0.0000000  103       -4       -3       -5 
            160     1   0.0000000  103        4        3        5 
            161     1   0.0000000  103       -6       -1       -3 
            162     1   0.0000000  103        6        1        3 
            163     1   0.0000000  103       -6       -1       -5 
            164     1   0.0000000  103        6        1        5 
            165     1   0.0000000  103       -6       -3       -5 
            166     1   0.0000000  103        6        3        5 

 1000023  ~chi_20                             2   0   0   60.00000    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   0   0
              0     1   0.0000000  103  1000039       22 
              1     1   0.0000000  103  1000039       23 
              2     1   0.0000000  103  1000039       25 
              3     1   0.0000000  103  1000039       35 
              4     1   0.0000000  103  1000039       36 
              5     1   0.0000000  103  1000022       22 
              6     1   0.0000000  103  1000022       23 
              7     1   0.0000000  103  1000022       25 
              8     1   0.0000000  103  1000022       35 
              9     1   0.0000000  103  1000022       36 
             10     1   0.0000000  103  1000024      -24 
             11     1   0.0000000  103 -1000024       24 
             12     1   0.0000000  103  1000024      -37 
             13     1   0.0000000  103 -1000024       37 
             14     1   0.0000000  103  1000037      -37 
             15     1   0.0000000  103 -1000037       37 
             16     1   0.0000000  103  1000037      -24 
             17     1   0.0000000  103 -1000037       24 
             18     1   0.0000000  103  1000011      -11 
             19     1   0.0000000  103 -1000011       11 
             20     1   0.0000000  103  2000011      -11 
             21     1   0.0000000  103 -2000011       11 
             22     1   0.0000000  103  1000012      -12 
             23     1   0.0000000  103 -1000012       12 
             24     1   0.0000000  103  2000012      -12 
             25     1   0.0000000  103 -2000012       12 
             26     1   0.0000000  103  1000013      -13 
             27     1   0.0000000  103 -1000013       13 
             28     1   0.0000000  103  2000013      -13 
             29     1   0.0000000  103 -2000013       13 
             30     1   0.0000000  103  1000014      -14 
             31     1   0.0000000  103 -1000014       14 
             32     1   0.0000000  103  2000014      -14 
             33     1   0.0000000  103 -2000014       14 
             34     1   0.0000000  103  1000015      -15 
             35     1   0.0000000  103 -1000015       15 
             36     1   0.0000000  103  2000015      -15 
             37     1   0.0000000  103 -2000015       15 
             38     1   0.0000000  103  1000016      -16 
             39     1   0.0000000  103 -1000016       16 
             40     1   0.0000000  103  2000016      -16 
             41     1   0.0000000  103 -2000016       16 
             42     1   0.0000000  103  1000022       11      -11 
             43     1   0.0000000  103  1000022       13      -13 
             44     1   0.0000000  103  1000022       15      -15 
             45     1   0.0000000  103  1000022       12      -12 
             46     1   0.0000000  103  1000022       14      -14 
             47     1   0.0000000  103  1000022       16      -16 
             48     1   0.0000000  103  1000024       11      -12 
             49     1   0.0000000  103 -1000024      -11       12 
             50     1   0.0000000  103  1000024       13      -14 
             51     1   0.0000000  103 -1000024      -13       14 
             52     1   0.0000000  103  1000024       15      -16 
             53     1   0.0000000  103 -1000024      -15       16 
             54     1   0.0000000  103  1000037       11      -12 
             55     1   0.0000000  103 -1000037      -11       12 
             56     1   0.0000000  103  1000037       13      -14 
             57     1   0.0000000  103 -1000037      -13       14 
             58     1   0.0000000  103  1000037       15      -16 
             59     1   0.0000000  103 -1000037      -15       16 
             60     1   0.0000000  103  1000001       -1 
             61     1   0.0000000  103 -1000001        1 
             62     1   0.0000000  103  1000001       -3 
             63     1   0.0000000  103 -1000001        3 
             64     1   0.0000000  103  1000001       -5 
             65     1   0.0000000  103 -1000001        5 
             66     1   0.0000000  103  2000001       -1 
             67     1   0.0000000  103 -2000001        1 
             68     1   0.0000000  103  2000001       -3 
             69     1   0.0000000  103 -2000001        3 
             70     1   0.0000000  103  2000001       -5 
             71     1   0.0000000  103 -2000001        5 
             72     1   0.0000000  103  1000002       -2 
             73     1   0.0000000  103 -1000002        2 
             74     1   0.0000000  103  1000002       -4 
             75     1   0.0000000  103 -1000002        4 
             76     1   0.0000000  103  1000002       -6 
             77     1   0.0000000  103 -1000002        6 
             78     1   0.0000000  103  2000002       -2 
             79     1   0.0000000  103 -2000002        2 
             80     1   0.0000000  103  2000002       -4 
             81     1   0.0000000  103 -2000002        4 
             82     1   0.0000000  103  2000002       -6 
             83     1   0.0000000  103 -2000002        6 
             84     1   0.0000000  103  1000003       -1 
             85     1   0.0000000  103 -1000003        1 
             86     1   0.0000000  103  1000003       -3 
             87     1   0.0000000  103 -1000003        3 
             88     1   0.0000000  103  1000003       -5 
             89     1   0.0000000  103 -1000003        5 
             90     1   0.0000000  103  2000003       -1 
             91     1   0.0000000  103 -2000003        1 
             92     1   0.0000000  103  2000003       -3 
             93     1   0.0000000  103 -2000003        3 
             94     1   0.0000000  103  2000003       -5 
             95     1   0.0000000  103 -2000003        5 
             96     1   0.0000000  103  1000004       -2 
             97     1   0.0000000  103 -1000004        2 
             98     1   0.0000000  103  1000004       -4 
             99     1   0.0000000  103 -1000004        4 
            100     1   0.0000000  103  1000004       -6 
            101     1   0.0000000  103 -1000004        6 
            102     1   0.0000000  103  2000004       -2 
            103     1   0.0000000  103 -2000004        2 
            104     1   0.0000000  103  2000004       -4 
            105     1   0.0000000  103 -2000004        4 
            106     1   0.0000000  103  2000004       -6 
            107     1   0.0000000  103 -2000004        6 
            108     1   0.0000000  103  1000005       -1 
            109     1   0.0000000  103 -1000005        1 
            110     1   0.0000000  103  1000005       -3 
            111     1   0.0000000  103 -1000005        3 
            112     1   0.0000000  103  1000005       -5 
            113     1   0.0000000  103 -1000005        5 
            114     1   0.0000000  103  2000005       -1 
            115     1   0.0000000  103 -2000005        1 
            116     1   0.0000000  103  2000005       -3 
            117     1   0.0000000  103 -2000005        3 
            118     1   0.0000000  103  2000005       -5 
            119     1   0.0000000  103 -2000005        5 
            120     1   0.0000000  103  1000006       -6 
            121     1   0.0000000  103 -1000006        6 
            122     1   0.0000000  103  1000006       -2 
            123     1   0.0000000  103 -1000006        2 
            124     1   0.0000000  103  1000006       -4 
            125     1   0.0000000  103 -1000006        4 
            126     1   0.0000000  103  2000006       -6 
            127     1   0.0000000  103 -2000006        6 
            128     1   0.0000000  103  1000022        1       -1 
            129     1   0.0000000  103  1000022        1       -3 
            130     1   0.0000000  103  1000022        1       -5 
            131     1   0.0000000  103  1000022        3       -1 
            132     1   0.0000000  103  1000022        3       -3 
            133     1   0.0000000  103  1000022        3       -5 
            134     1   0.0000000  103  1000022        5       -1 
            135     1   0.0000000  103  1000022        5       -3 
            136     1   0.0000000  103  1000022        5       -5 
            137     1   0.0000000  103  1000022        2       -2 
            138     1   0.0000000  103  1000022        2       -4 
            139     1   0.0000000  103  1000022        2       -6 
            140     1   0.0000000  103  1000022        4       -2 
            141     1   0.0000000  103  1000022        4       -4 
            142     1   0.0000000  103  1000022        4       -6 
            143     1   0.0000000  103  1000022        6       -2 
            144     1   0.0000000  103  1000022        6       -4 
            145     1   0.0000000  103  1000022        6       -6 
            146     1   0.0000000  103  1000024        1       -2 
            147     1   0.0000000  103  1000024        1       -4 
            148     1   0.0000000  103  1000024        1       -6 
            149     1   0.0000000  103 -1000024       -1        2 
            150     1   0.0000000  103 -1000024       -1        4 
            151     1   0.0000000  103 -1000024       -1        6 
            152     1   0.0000000  103  1000024        3       -2 
            153     1   0.0000000  103  1000024        3       -4 
            154     1   0.0000000  103  1000024        3       -6 
            155     1   0.0000000  103 -1000024       -3        2 
            156     1   0.0000000  103 -1000024       -3        4 
            157     1   0.0000000  103 -1000024       -3        6 
            158     1   0.0000000  103  1000024        5       -2 
            159     1   0.0000000  103  1000024        5       -4 
            160     1   0.0000000  103  1000024        5       -6 
            161     1   0.0000000  103 -1000024       -5        2 
            162     1   0.0000000  103 -1000024       -5        4 
            163     1   0.0000000  103 -1000024       -5        6 
            164     1   0.0000000  103 -1000037       -1        2 
            165     1   0.0000000  103 -1000037       -1        4 
            166     1   0.0000000  103 -1000037       -1        6 
            167     1   0.0000000  103  1000037        3       -2 
            168     1   0.0000000  103  1000037        3       -4 
            169     1   0.0000000  103  1000037        3       -6 
            170     1   0.0000000  103 -1000037       -3        2 
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            172     1   0.0000000  103 -1000037       -3        6 
            173     1   0.0000000  103  1000037        5       -2 
            174     1   0.0000000  103  1000037        5       -4 
            175     1   0.0000000  103  1000037        5       -6 
            176     1   0.0000000  103 -1000037       -5        2 
            177     1   0.0000000  103 -1000037       -5        4 
            178     1   0.0000000  103 -1000037       -5        6 
            179     1   0.0000000  103  1000021        1       -1 
            180     1   0.0000000  103  1000021        1       -3 
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            187     1   0.0000000  103  1000021        5       -5 
            188     1   0.0000000  103  1000021        2       -2 
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            191     1   0.0000000  103  1000021        4       -2 
            192     1   0.0000000  103  1000021        4       -4 
            193     1   0.0000000  103  1000021        4       -6 
            194     1   0.0000000  103  1000021        6       -2 
            195     1   0.0000000  103  1000021        6       -4 
            196     1   0.0000000  103  1000021        6       -6 
            197     1   0.0000000  103      -12      -13       11 
            198     1   0.0000000  103       12       13      -11 
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            200     1   0.0000000  103       12       13      -13 
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            218     1   0.0000000  103       14       15      -13 
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            221     1   0.0000000  103      -16      -11       11 
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            231     1   0.0000000  103      -16      -13       15 
            232     1   0.0000000  103       16       13      -15 
            233     1   0.0000000  103      -12       -1        1 
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            253     1   0.0000000  103      -12       -3        5 
            254     1   0.0000000  103       12        3       -5 
            255     1   0.0000000  103      -11       -4        5 
            256     1   0.0000000  103       11        4       -5 
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            261     1   0.0000000  103      -12       -5        3 
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            268     1   0.0000000  103       11        6       -5 
            269     1   0.0000000  103      -14       -1        1 
            270     1   0.0000000  103       14        1       -1 
            271     1   0.0000000  103      -13       -2        1 
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            273     1   0.0000000  103      -14       -1        3 
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            276     1   0.0000000  103       13        2       -3 
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            280     1   0.0000000  103       13        2       -5 
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            287     1   0.0000000  103      -13       -4        3 
            288     1   0.0000000  103       13        4       -3 
            289     1   0.0000000  103      -14       -3        5 
            290     1   0.0000000  103       14        3       -5 
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            292     1   0.0000000  103       13        4       -5 
            293     1   0.0000000  103      -14       -5        1 
            294     1   0.0000000  103       14        5       -1 
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            296     1   0.0000000  103       13        6       -1 
            297     1   0.0000000  103      -14       -5        3 
            298     1   0.0000000  103       14        5       -3 
            299     1   0.0000000  103      -13       -6        3 
            300     1   0.0000000  103       13        6       -3 
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            304     1   0.0000000  103       13        6       -5 
            305     1   0.0000000  103      -16       -1        1 
            306     1   0.0000000  103       16        1       -1 
            307     1   0.0000000  103      -15       -2        1 
            308     1   0.0000000  103       15        2       -1 
            309     1   0.0000000  103      -16       -1        3 
            310     1   0.0000000  103       16        1       -3 
            311     1   0.0000000  103      -15       -2        3 
            312     1   0.0000000  103       15        2       -3 
            313     1   0.0000000  103      -16       -1        5 
            314     1   0.0000000  103       16        1       -5 
            315     1   0.0000000  103      -15       -2        5 
            316     1   0.0000000  103       15        2       -5 
            317     1   0.0000000  103      -16       -3        1 
            318     1   0.0000000  103       16        3       -1 
            319     1   0.0000000  103      -15       -4        1 
            320     1   0.0000000  103       15        4       -1 
            321     1   0.0000000  103      -16       -3        3 
            322     1   0.0000000  103       16        3       -3 
            323     1   0.0000000  103      -15       -4        3 
            324     1   0.0000000  103       15        4       -3 
            325     1   0.0000000  103      -16       -3        5 
            326     1   0.0000000  103       16        3       -5 
            327     1   0.0000000  103      -15       -4        5 
            328     1   0.0000000  103       15        4       -5 
            329     1   0.0000000  103      -16       -5        1 
            330     1   0.0000000  103       16        5       -1 
            331     1   0.0000000  103      -15       -6        1 
            332     1   0.0000000  103       15        6       -1 
            333     1   0.0000000  103      -16       -5        3 
            334     1   0.0000000  103       16        5       -3 
            335     1   0.0000000  103      -15       -6        3 
            336     1   0.0000000  103       15        6       -3 
            337     1   0.0000000  103      -16       -5        5 
            338     1   0.0000000  103       16        5       -5 
            339     1   0.0000000  103      -15       -6        5 
            340     1   0.0000000  103       15        6       -5 
            341     1   0.0000000  103       -2       -1       -3 
            342     1   0.0000000  103        2        1        3 
            343     1   0.0000000  103       -2       -1       -5 
            344     1   0.0000000  103        2        1        5 
            345     1   0.0000000  103       -2       -3       -5 
            346     1   0.0000000  103        2        3        5 
            347     1   0.0000000  103       -4       -1       -3 
            348     1   0.0000000  103        4        1        3 
            349     1   0.0000000  103       -4       -1       -5 
            350     1   0.0000000  103        4        1        5 
            351     1   0.0000000  103       -4       -3       -5 
            352     1   0.0000000  103        4        3        5 
            353     1   0.0000000  103       -6       -1       -3 
            354     1   0.0000000  103        6        1        3 
            355     1   0.0000000  103       -6       -1       -5 
            356     1   0.0000000  103        6        1        5 
            357     1   0.0000000  103       -6       -3       -5 
            358     1   0.0000000  103        6        3        5 

 1000024  ~chi_1+          ~chi_1-            2   3   0  1.817e+04  2.099e-02  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       24 
              1     1   0.0000000  103  1000039       37 
              2     1   0.0000000  103  1000022       24 
              3     1   0.9421599  103  1000023       24 
              4     1   0.0428140  103  1000025       24 
              5     1   0.0146589  103  1000035       24 
              6     1   0.0000000  103  1000022       37 
              7     1   0.0000000  103  1000023       37 
              8     1   0.0000000  103  1000025       37 
              9     1   0.0000000  103  1000035       37 
             10     1   0.0000000  103  1000012      -11 
             11     1   0.0000225  103  2000012      -11 
             12     1   0.0000000  103 -1000011       12 
             13     1   0.0000000  103 -2000011       12 
             14     1   0.0000000  103  1000014      -13 
             15     1   0.0000225  103  2000014      -13 
             16     1   0.0000000  103 -1000013       14 
             17     1   0.0000000  103 -2000013       14 
             18     1   0.0000000  103  1000016      -15 
             19     1   0.0000257  103  2000016      -15 
             20     1   0.0000000  103 -1000015       16 
             21     1   0.0000000  103 -2000015       16 
             22     1   0.0000000  103  1000022      -11       12 
             23     1   0.0000000  103  1000022      -13       14 
             24     1   0.0000000  103  1000022      -15       16 
             25     1   0.0000000  103  1000023      -11       12 
             26     1   0.0000000  103  1000023      -13       14 
             27     1   0.0000000  103  1000023      -15       16 
             28     1   0.0000000  103  1000025      -11       12 
             29     1   0.0000000  103  1000025      -13       14 
             30     1   0.0000000  103  1000025      -15       16 
             31     1   0.0000000  103  1000035      -11       12 
             32     1   0.0000000  103  1000035      -13       14 
             33     1   0.0000000  103  1000035      -15       16 
             34     1   0.0000000  103  1000022       -1        2 
             35     1   0.0000000  103  1000022       -1        4 
             36     1   0.0000000  103  1000022       -1        6 
             37     1   0.0000000  103  1000022       -3        2 
             38     1   0.0000000  103  1000022       -3        4 
             39     1   0.0000000  103  1000022       -3        6 
             40     1   0.0000000  103  1000022       -5        2 
             41     1   0.0000000  103  1000022       -5        4 
             42     1   0.0000000  103  1000022       -5        6 
             43     1   0.0000000  103  1000023       -1        2 
             44     1   0.0000000  103  1000023       -1        4 
             45     1   0.0000000  103  1000023       -1        6 
             46     1   0.0000000  103  1000023       -3        2 
             47     1   0.0000000  103  1000023       -3        4 
             48     1   0.0000000  103  1000023       -3        6 
             49     1   0.0000000  103  1000023       -5        2 
             50     1   0.0000000  103  1000023       -5        4 
             51     1   0.0000000  103  1000023       -5        6 
             52     1   0.0000000  103  1000025       -1        2 
             53     1   0.0000000  103  1000025       -1        4 
             54     1   0.0000000  103  1000025       -1        6 
             55     1   0.0000000  103  1000025       -3        2 
             56     1   0.0000000  103  1000025       -3        4 
             57     1   0.0000000  103  1000025       -3        6 
             58     1   0.0000000  103  1000025       -5        2 
             59     1   0.0000000  103  1000025       -5        4 
             60     1   0.0000000  103  1000025       -5        6 
             61     1   0.0000000  103  1000035       -1        2 
             62     1   0.0000000  103  1000035       -1        4 
             63     1   0.0000000  103  1000035       -1        6 
             64     1   0.0000000  103  1000035       -3        2 
             65     1   0.0000000  103  1000035       -3        4 
             66     1   0.0000000  103  1000035       -3        6 
             67     1   0.0000000  103  1000035       -5        2 
             68     1   0.0000000  103  1000035       -5        4 
             69     1   0.0000000  103  1000035       -5        6 
             70     1   0.0000719  103  1000002       -1 
             71     1   0.0000039  103  1000002       -3 
             72     1   0.0000000  103  1000002       -5 
             73     1   0.0000000  103  2000002       -1 
             74     1   0.0000000  103  2000002       -3 
             75     1   0.0000000  103  2000002       -5 
             76     1   0.0000312  103 -1000001        2 
             77     1   0.0000017  103 -1000001        4 
             78     1   0.0000000  103 -1000001        6 
             79     1   0.0000000  103 -2000001        2 
             80     1   0.0000000  103 -2000001        4 
             81     1   0.0000000  103 -2000001        6 
             82     1   0.0000039  103  1000004       -1 
             83     1   0.0000718  103  1000004       -3 
             84     1   0.0000001  103  1000004       -5 
             85     1   0.0000000  103  2000004       -1 
             86     1   0.0000000  103  2000004       -3 
             87     1   0.0000000  103  2000004       -5 
             88     1   0.0000017  103 -1000003        2 
             89     1   0.0000311  103 -1000003        4 
             90     1   0.0000001  103 -1000003        6 
             91     1   0.0000000  103 -2000003        2 
             92     1   0.0000000  103 -2000003        4 
             93     1   0.0000000  103 -2000003        6 
             94     1   0.0000000  103  1000006       -1 
             95     1   0.0000000  103  1000006       -3 
             96     1   0.0000255  103  1000006       -5 
             97     1   0.0000000  103  2000006       -1 
             98     1   0.0000000  103  2000006       -3 
             99     1   0.0000158  103  2000006       -5 
            100     1   0.0000000  103 -1000005        2 
            101     1   0.0000001  103 -1000005        4 
            102     1   0.0000350  103 -1000005        6 
            103     1   0.0000000  103 -2000005        2 
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            105     1   0.0000027  103 -2000005        6 
            106     1   0.0000000  103  1000021       -1        2 
            107     1   0.0000000  103  1000021       -1        4 
            108     1   0.0000000  103  1000021       -1        6 
            109     1   0.0000000  103  1000021       -3        2 
            110     1   0.0000000  103  1000021       -3        4 
            111     1   0.0000000  103  1000021       -3        6 
            112     1   0.0000000  103  1000021       -5        2 
            113     1   0.0000000  103  1000021       -5        4 
            114     1   0.0000000  103  1000021       -5        6 
            115     1   0.0000000  103      -12      -13       12 
            116     1   0.0000000  103       12       14      -11 
            117     1   0.0000000  103      -11      -13       11 
            118     1   0.0000000  103      -12      -13       14 
            119     1   0.0000000  103       12       14      -13 
            120     1   0.0000000  103      -11      -13       13 
            121     1   0.0000000  103      -12      -13       16 
            122     1   0.0000000  103       12       14      -15 
            123     1   0.0000000  103      -11      -13       15 
            124     1   0.0000000  103      -12      -15       12 
            125     1   0.0000000  103       12       16      -11 
            126     1   0.0000000  103      -11      -15       11 
            127     1   0.0000000  103      -12      -15       14 
            128     1   0.0000000  103       12       16      -13 
            129     1   0.0000000  103      -11      -15       13 
            130     1   0.0000000  103      -12      -15       16 
            131     1   0.0000000  103       12       16      -15 
            132     1   0.0000000  103      -11      -15       15 
            133     1   0.0000000  103      -14      -11       12 
            134     1   0.0000000  103      -13      -11       11 
            135     1   0.0000000  103      -14      -11       14 
            136     1   0.0000000  103      -13      -11       13 
            137     1   0.0000000  103      -14      -11       16 
            138     1   0.0000000  103      -13      -11       15 
            139     1   0.0000000  103      -14      -15       12 
            140     1   0.0000000  103       14       16      -11 
            141     1   0.0000000  103      -13      -15       11 
            142     1   0.0000000  103      -14      -15       14 
            143     1   0.0000000  103       14       16      -13 
            144     1   0.0000000  103      -13      -15       13 
            145     1   0.0000000  103      -14      -15       16 
            146     1   0.0000000  103       14       16      -15 
            147     1   0.0000000  103      -13      -15       15 
            148     1   0.0000000  103      -16      -11       12 
            149     1   0.0000000  103      -15      -11       11 
            150     1   0.0000000  103      -16      -11       14 
            151     1   0.0000000  103      -15      -11       13 
            152     1   0.0000000  103      -16      -11       16 
            153     1   0.0000000  103      -15      -11       15 
            154     1   0.0000000  103      -16      -13       12 
            155     1   0.0000000  103      -15      -13       11 
            156     1   0.0000000  103      -16      -13       14 
            157     1   0.0000000  103      -15      -13       13 
            158     1   0.0000000  103      -16      -13       16 
            159     1   0.0000000  103      -15      -13       15 
            160     1   0.0000000  103      -12       -1        2 
            161     1   0.0000000  103      -11       -2        2 
            162     1   0.0000000  103      -11       -1        1 
            163     1   0.0000000  103       12        2       -1 
            164     1   0.0000000  103      -12       -1        4 
            165     1   0.0000000  103      -11       -2        4 
            166     1   0.0000000  103      -11       -1        3 
            167     1   0.0000000  103       12        2       -3 
            168     1   0.0000000  103      -12       -1        6 
            169     1   0.0000000  103      -11       -2        6 
            170     1   0.0000000  103      -11       -1        5 
            171     1   0.0000000  103       12        2       -5 
            172     1   0.0000000  103      -12       -3        2 
            173     1   0.0000000  103      -11       -4        2 
            174     1   0.0000000  103      -11       -3        1 
            175     1   0.0000000  103       12        4       -1 
            176     1   0.0000000  103      -12       -3        4 
            177     1   0.0000000  103      -11       -4        4 
            178     1   0.0000000  103      -11       -3        3 
            179     1   0.0000000  103       12        4       -3 
            180     1   0.0000000  103      -12       -3        6 
            181     1   0.0000000  103      -11       -4        6 
            182     1   0.0000000  103      -11       -3        5 
            183     1   0.0000000  103       12        4       -5 
            184     1   0.0000000  103      -12       -5        2 
            185     1   0.0000000  103      -11       -6        2 
            186     1   0.0000000  103      -11       -5        1 
            187     1   0.0000000  103       12        6       -1 
            188     1   0.0000000  103      -12       -5        4 
            189     1   0.0000000  103      -11       -6        4 
            190     1   0.0000000  103      -11       -5        3 
            191     1   0.0000000  103       12        6       -3 
            192     1   0.0000000  103      -12       -5        6 
            193     1   0.0000000  103      -11       -6        6 
            194     1   0.0000000  103      -11       -5        5 
            195     1   0.0000000  103       12        6       -5 
            196     1   0.0000000  103      -14       -1        2 
            197     1   0.0000000  103      -13       -2        2 
            198     1   0.0000000  103      -13       -1        1 
            199     1   0.0000000  103       14        2       -1 
            200     1   0.0000000  103      -14       -1        4 
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            205     1   0.0000000  103      -13       -2        6 
            206     1   0.0000000  103      -13       -1        5 
            207     1   0.0000000  103       14        2       -5 
            208     1   0.0000000  103      -14       -3        2 
            209     1   0.0000000  103      -13       -4        2 
            210     1   0.0000000  103      -13       -3        1 
            211     1   0.0000000  103       14        4       -1 
            212     1   0.0000000  103      -14       -3        4 
            213     1   0.0000000  103      -13       -4        4 
            214     1   0.0000000  103      -13       -3        3 
            215     1   0.0000000  103       14        4       -3 
            216     1   0.0000000  103      -14       -3        6 
            217     1   0.0000000  103      -13       -4        6 
            218     1   0.0000000  103      -13       -3        5 
            219     1   0.0000000  103       14        4       -5 
            220     1   0.0000000  103      -14       -5        2 
            221     1   0.0000000  103      -13       -6        2 
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            231     1   0.0000000  103       14        6       -5 
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            240     1   0.0000000  103      -16       -1        6 
            241     1   0.0000000  103      -15       -2        6 
            242     1   0.0000000  103      -15       -1        5 
            243     1   0.0000000  103       16        2       -5 
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            246     1   0.0000000  103      -15       -3        1 
            247     1   0.0000000  103       16        4       -1 
            248     1   0.0000000  103      -16       -3        4 
            249     1   0.0000000  103      -15       -4        4 
            250     1   0.0000000  103      -15       -3        3 
            251     1   0.0000000  103       16        4       -3 
            252     1   0.0000000  103      -16       -3        6 
            253     1   0.0000000  103      -15       -4        6 
            254     1   0.0000000  103      -15       -3        5 
            255     1   0.0000000  103       16        4       -5 
            256     1   0.0000000  103      -16       -5        2 
            257     1   0.0000000  103      -15       -6        2 
            258     1   0.0000000  103      -15       -5        1 
            259     1   0.0000000  103       16        6       -1 
            260     1   0.0000000  103      -16       -5        4 
            261     1   0.0000000  103      -15       -6        4 
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            263     1   0.0000000  103       16        6       -3 
            264     1   0.0000000  103      -16       -5        6 
            265     1   0.0000000  103      -15       -6        6 
            266     1   0.0000000  103      -15       -5        5 
            267     1   0.0000000  103       16        6       -5 
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            280     1   0.0000000  103       -1       -5       -5 
            281     1   0.0000000  103        4        4        1 
            282     1   0.0000000  103        4        4        5 
            283     1   0.0000000  103       -3       -3       -5 
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            286     1   0.0000000  103        4        6        5 
            287     1   0.0000000  103       -3       -5       -5 
            288     1   0.0000000  103        6        6        1 
            289     1   0.0000000  103        6        6        3 

 1000025  ~chi_30                             2   0   0   70.00000    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   0   0
              0     1   0.0000000  103  1000039       22 
              1     1   0.0000000  103  1000039       23 
              2     1   0.0000000  103  1000039       25 
              3     1   0.0000000  103  1000039       35 
              4     1   0.0000000  103  1000039       36 
              5     1   0.0000000  103  1000022       22 
              6     1   0.0000000  103  1000022       23 
              7     1   0.0000000  103  1000022       25 
              8     1   0.0000000  103  1000022       35 
              9     1   0.0000000  103  1000022       36 
             10     1   0.0000000  103  1000023       22 
             11     1   0.0000000  103  1000023       23 
             12     1   0.0000000  103  1000023       25 
             13     1   0.0000000  103  1000023       35 
             14     1   0.0000000  103  1000023       36 
             15     1   0.0000000  103  1000024      -24 
             16     1   0.0000000  103 -1000024       24 
             17     1   0.0000000  103  1000024      -37 
             18     1   0.0000000  103 -1000024       37 
             19     1   0.0000000  103  1000037      -24 
             20     1   0.0000000  103 -1000037       24 
             21     1   0.0000000  103  1000037      -37 
             22     1   0.0000000  103 -1000037       37 
             23     1   0.0000000  103  1000011      -11 
             24     1   0.0000000  103 -1000011       11 
             25     1   0.0000000  103  2000011      -11 
             26     1   0.0000000  103 -2000011       11 
             27     1   0.0000000  103  1000012      -12 
             28     1   0.0000000  103 -1000012       12 
             29     1   0.0000000  103  2000012      -12 
             30     1   0.0000000  103 -2000012       12 
             31     1   0.0000000  103  1000013      -13 
             32     1   0.0000000  103 -1000013       13 
             33     1   0.0000000  103  2000013      -13 
             34     1   0.0000000  103 -2000013       13 
             35     1   0.0000000  103  1000014      -14 
             36     1   0.0000000  103 -1000014       14 
             37     1   0.0000000  103  2000014      -14 
             38     1   0.0000000  103 -2000014       14 
             39     1   0.0000000  103  1000015      -15 
             40     1   0.0000000  103 -1000015       15 
             41     1   0.0000000  103  2000015      -15 
             42     1   0.0000000  103 -2000015       15 
             43     1   0.0000000  103  1000016      -16 
             44     1   0.0000000  103 -1000016       16 
             45     1   0.0000000  103  2000016      -16 
             46     1   0.0000000  103 -2000016       16 
             47     1   0.0000000  103  1000022       11      -11 
             48     1   0.0000000  103  1000022       13      -13 
             49     1   0.0000000  103  1000022       15      -15 
             50     1   0.0000000  103  1000022       12      -12 
             51     1   0.0000000  103  1000022       14      -14 
             52     1   0.0000000  103  1000022       16      -16 
             53     1   0.0000000  103  1000023       11      -11 
             54     1   0.0000000  103  1000023       13      -13 
             55     1   0.0000000  103  1000023       15      -15 
             56     1   0.0000000  103  1000023       12      -12 
             57     1   0.0000000  103  1000023       14      -14 
             58     1   0.0000000  103  1000023       16      -16 
             59     1   0.0000000  103  1000024       11      -12 
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             61     1   0.0000000  103  1000024       13      -14 
             62     1   0.0000000  103 -1000024      -13       14 
             63     1   0.0000000  103  1000024       15      -16 
             64     1   0.0000000  103 -1000024      -15       16 
             65     1   0.0000000  103  1000037       11      -12 
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             67     1   0.0000000  103  1000037       13      -14 
             68     1   0.0000000  103 -1000037      -13       14 
             69     1   0.0000000  103  1000037       15      -16 
             70     1   0.0000000  103 -1000037      -15       16 
             71     1   0.0000000  103  1000001       -1 
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             76     1   0.0000000  103 -1000001        5 
             77     1   0.0000000  103  2000001       -1 
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             80     1   0.0000000  103 -2000001        3 
             81     1   0.0000000  103  2000001       -5 
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             88     1   0.0000000  103 -1000002        6 
             89     1   0.0000000  103  2000002       -2 
             90     1   0.0000000  103 -2000002        2 
             91     1   0.0000000  103  2000002       -4 
             92     1   0.0000000  103 -2000002        4 
             93     1   0.0000000  103  2000002       -6 
             94     1   0.0000000  103 -2000002        6 
             95     1   0.0000000  103  1000003       -1 
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             97     1   0.0000000  103  1000003       -3 
             98     1   0.0000000  103 -1000003        3 
             99     1   0.0000000  103  1000003       -5 
            100     1   0.0000000  103 -1000003        5 
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            139     1   0.0000000  103  1000022        1       -1 
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            142     1   0.0000000  103  1000022        3       -1 
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            156     1   0.0000000  103  1000022        6       -6 
            157     1   0.0000000  103  1000023        1       -1 
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            160     1   0.0000000  103  1000023        3       -1 
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            166     1   0.0000000  103  1000023        2       -2 
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            175     1   0.0000000  103  1000024        1       -2 
            176     1   0.0000000  103  1000024        1       -4 
            177     1   0.0000000  103  1000024        1       -6 
            178     1   0.0000000  103 -1000024       -1        2 
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            180     1   0.0000000  103 -1000024       -1        6 
            181     1   0.0000000  103  1000024        3       -2 
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            193     1   0.0000000  103 -1000037       -1        2 
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            195     1   0.0000000  103 -1000037       -1        6 
            196     1   0.0000000  103  1000037        3       -2 
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            198     1   0.0000000  103  1000037        3       -6 
            199     1   0.0000000  103 -1000037       -3        2 
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            202     1   0.0000000  103  1000037        5       -2 
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            207     1   0.0000000  103 -1000037       -5        6 
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            217     1   0.0000000  103  1000021        2       -2 
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            387     1   0.0000000  103        6        3        5 

 1000035  ~chi_40                             2   0   0   80.00000    0.00000   50.00000    0.00000  0.00000e+00   1   0   0   0   0
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              1     1   0.0000000  103  1000039       23 
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              3     1   0.0000000  103  1000039       35 
              4     1   0.0000000  103  1000039       36 
              5     1   0.0000000  103  1000022       22 
              6     1   0.0000000  103  1000022       23 
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              8     1   0.0000000  103  1000022       35 
              9     1   0.0000000  103  1000022       36 
             10     1   0.0000000  103  1000023       22 
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             17     1   0.0000000  103  1000025       25 
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             24     1   0.0000000  103  1000024      -37 
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             26     1   0.0000000  103  1000037      -37 
             27     1   0.0000000  103 -1000037       37 
             28     1   0.0000000  103  1000022       11      -11 
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             33     1   0.0000000  103  1000022       16      -16 
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             48     1   0.0000000  103  1000024       13      -14 
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            392     1   0.0000000  103       16        5       -3 
            393     1   0.0000000  103      -15       -6        3 
            394     1   0.0000000  103       15        6       -3 
            395     1   0.0000000  103      -16       -5        5 
            396     1   0.0000000  103       16        5       -5 
            397     1   0.0000000  103      -15       -6        5 
            398     1   0.0000000  103       15        6       -5 
            399     1   0.0000000  103       -2       -1       -3 
            400     1   0.0000000  103        2        1        3 
            401     1   0.0000000  103       -2       -1       -5 
            402     1   0.0000000  103        2        1        5 
            403     1   0.0000000  103       -2       -3       -5 
            404     1   0.0000000  103        2        3        5 
            405     1   0.0000000  103       -4       -1       -3 
            406     1   0.0000000  103        4        1        3 
            407     1   0.0000000  103       -4       -1       -5 
            408     1   0.0000000  103        4        1        5 
            409     1   0.0000000  103       -4       -3       -5 
            410     1   0.0000000  103        4        3        5 
            411     1   0.0000000  103       -6       -1       -3 
            412     1   0.0000000  103        6        1        3 
            413     1   0.0000000  103       -6       -1       -5 
            414     1   0.0000000  103        6        1        5 
            415     1   0.0000000  103       -6       -3       -5 
            416     1   0.0000000  103        6        3        5 

 1000037  ~chi_2+          ~chi_2-            2   3   0  2.783e+04  1.900e-02  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       24 
              1     1   0.0000000  103  1000039       37 
              2     1   0.0080363  103  1000024       23 
              3     1   0.0000000  103  1000024       25 
              4     1   0.0000000  103  1000024       35 
              5     1   0.0000000  103  1000024       36 
              6     1   0.0000000  103  1000022       24 
              7     1   0.1945330  103  1000023       24 
              8     1   0.3747933  103  1000025       24 
              9     1   0.4224396  103  1000035       24 
             10     1   0.0000000  103  1000022       37 
             11     1   0.0000000  103  1000023       37 
             12     1   0.0000000  103  1000025       37 
             13     1   0.0000000  103  1000035       37 
             14     1   0.0000000  103  1000024       11      -11 
             15     1   0.0000000  103  1000024       13      -13 
             16     1   0.0000000  103  1000024       15      -15 
             17     1   0.0000000  103  1000024       12      -12 
             18     1   0.0000000  103  1000024       14      -14 
             19     1   0.0000000  103  1000024       16      -16 
             20     1   0.0000000  103  1000022      -11       12 
             21     1   0.0000000  103  1000022      -13       14 
             22     1   0.0000000  103  1000022      -15       16 
             23     1   0.0000000  103  1000023      -11       12 
             24     1   0.0000000  103  1000023      -13       14 
             25     1   0.0000000  103  1000023      -15       16 
             26     1   0.0000000  103  1000025      -11       12 
             27     1   0.0000000  103  1000025      -13       14 
             28     1   0.0000000  103  1000025      -15       16 
             29     1   0.0000000  103  1000035      -11       12 
             30     1   0.0000000  103  1000035      -13       14 
             31     1   0.0000000  103  1000035      -15       16 
             32     1   0.0000010  103  1000012      -11 
             33     1   0.0000031  103  2000012      -11 
             34     1   0.0000002  103 -1000011       12 
             35     1   0.0000000  103 -2000011       12 
             36     1   0.0000010  103  1000014      -13 
             37     1   0.0000031  103  2000014      -13 
             38     1   0.0000002  103 -1000013       14 
             39     1   0.0000000  103 -2000013       14 
             40     1   0.0000000  103  1000016      -15 
             41     1   0.0000013  103  2000016      -15 
             42     1   0.0000001  103 -1000015       16 
             43     1   0.0000000  103 -2000015       16 
             44     1   0.0000000  103  1000022       -1        2 
             45     1   0.0000000  103  1000022       -1        4 
             46     1   0.0000000  103  1000022       -1        6 
             47     1   0.0000000  103  1000022       -3        2 
             48     1   0.0000000  103  1000022       -3        4 
             49     1   0.0000000  103  1000022       -3        6 
             50     1   0.0000000  103  1000022       -5        2 
             51     1   0.0000000  103  1000022       -5        4 
             52     1   0.0000000  103  1000022       -5        6 
             53     1   0.0000000  103  1000023       -1        2 
             54     1   0.0000000  103  1000023       -1        4 
             55     1   0.0000000  103  1000023       -1        6 
             56     1   0.0000000  103  1000023       -3        2 
             57     1   0.0000000  103  1000023       -3        4 
             58     1   0.0000000  103  1000023       -3        6 
             59     1   0.0000000  103  1000023       -5        2 
             60     1   0.0000000  103  1000023       -5        4 
             61     1   0.0000000  103  1000023       -5        6 
             62     1   0.0000000  103  1000025       -1        2 
             63     1   0.0000000  103  1000025       -1        4 
             64     1   0.0000000  103  1000025       -1        6 
             65     1   0.0000000  103  1000025       -3        2 
             66     1   0.0000000  103  1000025       -3        4 
             67     1   0.0000000  103  1000025       -3        6 
             68     1   0.0000000  103  1000025       -5        2 
             69     1   0.0000000  103  1000025       -5        4 
             70     1   0.0000000  103  1000025       -5        6 
             71     1   0.0000000  103  1000035       -1        2 
             72     1   0.0000000  103  1000035       -1        4 
             73     1   0.0000000  103  1000035       -1        6 
             74     1   0.0000000  103  1000035       -3        2 
             75     1   0.0000000  103  1000035       -3        4 
             76     1   0.0000000  103  1000035       -3        6 
             77     1   0.0000000  103  1000035       -5        2 
             78     1   0.0000000  103  1000035       -5        4 
             79     1   0.0000000  103  1000035       -5        6 
             80     1   0.0000000  103  1000024        1       -1 
             81     1   0.0000000  103  1000024        1       -3 
             82     1   0.0000000  103  1000024        1       -5 
             83     1   0.0000000  103  1000024        3       -1 
             84     1   0.0000000  103  1000024        3       -3 
             85     1   0.0000000  103  1000024        3       -5 
             86     1   0.0000000  103  1000024        5       -1 
             87     1   0.0000000  103  1000024        5       -3 
             88     1   0.0000000  103  1000024        5       -5 
             89     1   0.0000000  103  1000024        2       -2 
             90     1   0.0000000  103  1000024        2       -4 
             91     1   0.0000000  103  1000024        2       -6 
             92     1   0.0000000  103  1000024        4       -2 
             93     1   0.0000000  103  1000024        4       -4 
             94     1   0.0000000  103  1000024        4       -6 
             95     1   0.0000000  103  1000024        6       -2 
             96     1   0.0000000  103  1000024        6       -4 
             97     1   0.0000000  103  1000024        6       -6 
             98     1   0.0000031  103  1000002       -1 
             99     1   0.0000002  103  1000002       -3 
            100     1   0.0000000  103  1000002       -5 
            101     1   0.0000000  103  2000002       -1 
            102     1   0.0000000  103  2000002       -3 
            103     1   0.0000000  103  2000002       -5 
            104     1   0.0000068  103 -1000001        2 
            105     1   0.0000004  103 -1000001        4 
            106     1   0.0000000  103 -1000001        6 
            107     1   0.0000000  103 -2000001        2 
            108     1   0.0000000  103 -2000001        4 
            109     1   0.0000000  103 -2000001        6 
            110     1   0.0000002  103  1000004       -1 
            111     1   0.0000030  103  1000004       -3 
            112     1   0.0000000  103  1000004       -5 
            113     1   0.0000000  103  2000004       -1 
            114     1   0.0000000  103  2000004       -3 
            115     1   0.0000000  103  2000004       -5 
            116     1   0.0000004  103 -1000003        2 
            117     1   0.0000068  103 -1000003        4 
            118     1   0.0000001  103 -1000003        6 
            119     1   0.0000000  103 -2000003        2 
            120     1   0.0000000  103 -2000003        4 
            121     1   0.0000000  103 -2000003        6 
            122     1   0.0000000  103  1000006       -1 
            123     1   0.0000001  103  1000006       -3 
            124     1   0.0000421  103  1000006       -5 
            125     1   0.0000000  103  2000006       -1 
            126     1   0.0000001  103  2000006       -3 
            127     1   0.0000391  103  2000006       -5 
            128     1   0.0000000  103 -1000005        2 
            129     1   0.0000000  103 -1000005        4 
            130     1   0.0000718  103 -1000005        6 
            131     1   0.0000000  103 -2000005        2 
            132     1   0.0000000  103 -2000005        4 
            133     1   0.0000135  103 -2000005        6 
            134     1   0.0000000  103  1000021       -1        2 
            135     1   0.0000000  103  1000021       -1        4 
            136     1   0.0000000  103  1000021       -1        6 
            137     1   0.0000000  103  1000021       -3        2 
            138     1   0.0000000  103  1000021       -3        4 
            139     1   0.0000000  103  1000021       -3        6 
            140     1   0.0000000  103  1000021       -5        2 
            141     1   0.0000000  103  1000021       -5        4 
            142     1   0.0000000  103  1000021       -5        6 
            143     1   0.0000000  103      -12      -13       12 
            144     1   0.0000000  103       12       14      -11 
            145     1   0.0000000  103      -11      -13       11 
            146     1   0.0000000  103      -12      -13       14 
            147     1   0.0000000  103       12       14      -13 
            148     1   0.0000000  103      -11      -13       13 
            149     1   0.0000000  103      -12      -13       16 
            150     1   0.0000000  103       12       14      -15 
            151     1   0.0000000  103      -11      -13       15 
            152     1   0.0000000  103      -12      -15       12 
            153     1   0.0000000  103       12       16      -11 
            154     1   0.0000000  103      -11      -15       11 
            155     1   0.0000000  103      -12      -15       14 
            156     1   0.0000000  103       12       16      -13 
            157     1   0.0000000  103      -11      -15       13 
            158     1   0.0000000  103      -12      -15       16 
            159     1   0.0000000  103       12       16      -15 
            160     1   0.0000000  103      -11      -15       15 
            161     1   0.0000000  103      -14      -11       12 
            162     1   0.0000000  103       14       12      -11 
            163     1   0.0000000  103      -13      -11       11 
            164     1   0.0000000  103      -14      -11       14 
            165     1   0.0000000  103       14       12      -13 
            166     1   0.0000000  103      -13      -11       13 
            167     1   0.0000000  103      -14      -11       16 
            168     1   0.0000000  103       14       12      -15 
            169     1   0.0000000  103      -13      -11       15 
            170     1   0.0000000  103      -14      -15       12 
            171     1   0.0000000  103       14       16      -11 
            172     1   0.0000000  103      -13      -15       11 
            173     1   0.0000000  103      -14      -15       14 
            174     1   0.0000000  103       14       16      -13 
            175     1   0.0000000  103      -13      -15       13 
            176     1   0.0000000  103      -14      -15       16 
            177     1   0.0000000  103       14       16      -15 
            178     1   0.0000000  103      -13      -15       15 
            179     1   0.0000000  103      -16      -11       12 
            180     1   0.0000000  103       16       12      -11 
            181     1   0.0000000  103      -15      -11       11 
            182     1   0.0000000  103      -16      -11       14 
            183     1   0.0000000  103       16       12      -13 
            184     1   0.0000000  103      -15      -11       13 
            185     1   0.0000000  103      -16      -11       16 
            186     1   0.0000000  103       16       12      -15 
            187     1   0.0000000  103      -15      -11       15 
            188     1   0.0000000  103      -16      -13       12 
            189     1   0.0000000  103       16       14      -11 
            190     1   0.0000000  103      -15      -13       11 
            191     1   0.0000000  103      -16      -13       14 
            192     1   0.0000000  103       16       14      -13 
            193     1   0.0000000  103      -15      -13       13 
            194     1   0.0000000  103      -16      -13       16 
            195     1   0.0000000  103       16       14      -15 
            196     1   0.0000000  103      -15      -13       15 
            197     1   0.0000000  103      -12       -1        2 
            198     1   0.0000000  103      -11       -2        2 
            199     1   0.0000000  103      -11       -1        1 
            200     1   0.0000000  103       12        2       -1 
            201     1   0.0000000  103      -12       -1        4 
            202     1   0.0000000  103      -11       -2        4 
            203     1   0.0000000  103      -11       -1        3 
            204     1   0.0000000  103       12        2       -3 
            205     1   0.0000000  103      -12       -1        6 
            206     1   0.0000000  103      -11       -2        6 
            207     1   0.0000000  103      -11       -1        5 
            208     1   0.0000000  103       12        2       -5 
            209     1   0.0000000  103      -12       -3        2 
            210     1   0.0000000  103      -11       -4        2 
            211     1   0.0000000  103      -11       -3        1 
            212     1   0.0000000  103       12        4       -1 
            213     1   0.0000000  103      -12       -3        4 
            214     1   0.0000000  103      -11       -4        4 
            215     1   0.0000000  103      -11       -3        3 
            216     1   0.0000000  103       12        4       -3 
            217     1   0.0000000  103      -12       -3        6 
            218     1   0.0000000  103      -11       -4        6 
            219     1   0.0000000  103      -11       -3        5 
            220     1   0.0000000  103       12        4       -5 
            221     1   0.0000000  103      -12       -5        2 
            222     1   0.0000000  103      -11       -6        2 
            223     1   0.0000000  103      -11       -5        1 
            224     1   0.0000000  103       12        6       -1 
            225     1   0.0000000  103      -12       -5        4 
            226     1   0.0000000  103      -11       -6        4 
            227     1   0.0000000  103      -11       -5        3 
            228     1   0.0000000  103       12        6       -3 
            229     1   0.0000000  103      -12       -5        6 
            230     1   0.0000000  103      -11       -6        6 
            231     1   0.0000000  103      -11       -5        5 
            232     1   0.0000000  103       12        6       -5 
            233     1   0.0000000  103      -14       -1        2 
            234     1   0.0000000  103      -13       -2        2 
            235     1   0.0000000  103      -13       -1        1 
            236     1   0.0000000  103       14        2       -1 
            237     1   0.0000000  103      -14       -1        4 
            238     1   0.0000000  103      -13       -2        4 
            239     1   0.0000000  103      -13       -1        3 
            240     1   0.0000000  103       14        2       -3 
            241     1   0.0000000  103      -14       -1        6 
            242     1   0.0000000  103      -13       -2        6 
            243     1   0.0000000  103      -13       -1        5 
            244     1   0.0000000  103       14        2       -5 
            245     1   0.0000000  103      -14       -3        2 
            246     1   0.0000000  103      -13       -4        2 
            247     1   0.0000000  103      -13       -3        1 
            248     1   0.0000000  103       14        4       -1 
            249     1   0.0000000  103      -14       -3        4 
            250     1   0.0000000  103      -13       -4        4 
            251     1   0.0000000  103      -13       -3        3 
            252     1   0.0000000  103       14        4       -3 
            253     1   0.0000000  103      -14       -3        6 
            254     1   0.0000000  103      -13       -4        6 
            255     1   0.0000000  103      -13       -3        5 
            256     1   0.0000000  103       14        4       -5 
            257     1   0.0000000  103      -14       -5        2 
            258     1   0.0000000  103      -13       -6        2 
            259     1   0.0000000  103      -13       -5        1 
            260     1   0.0000000  103       14        6       -1 
            261     1   0.0000000  103      -14       -5        4 
            262     1   0.0000000  103      -13       -6        4 
            263     1   0.0000000  103      -13       -5        3 
            264     1   0.0000000  103       14        6       -3 
            265     1   0.0000000  103      -14       -5        6 
            266     1   0.0000000  103      -13       -6        6 
            267     1   0.0000000  103      -13       -5        5 
            268     1   0.0000000  103       14        6       -5 
            269     1   0.0000000  103      -16       -1        2 
            270     1   0.0000000  103      -15       -2        2 
            271     1   0.0000000  103      -15       -1        1 
            272     1   0.0000000  103       16        2       -1 
            273     1   0.0000000  103      -16       -1        4 
            274     1   0.0000000  103      -15       -2        4 
            275     1   0.0000000  103      -15       -1        3 
            276     1   0.0000000  103       16        2       -3 
            277     1   0.0000000  103      -16       -1        6 
            278     1   0.0000000  103      -15       -2        6 
            279     1   0.0000000  103      -15       -1        5 
            280     1   0.0000000  103       16        2       -5 
            281     1   0.0000000  103      -16       -3        2 
            282     1   0.0000000  103      -15       -4        2 
            283     1   0.0000000  103      -15       -3        1 
            284     1   0.0000000  103       16        4       -1 
            285     1   0.0000000  103      -16       -3        4 
            286     1   0.0000000  103      -15       -4        4 
            287     1   0.0000000  103      -15       -3        3 
            288     1   0.0000000  103       16        4       -3 
            289     1   0.0000000  103      -16       -3        6 
            290     1   0.0000000  103      -15       -4        6 
            291     1   0.0000000  103      -15       -3        5 
            292     1   0.0000000  103       16        4       -5 
            293     1   0.0000000  103      -16       -5        2 
            294     1   0.0000000  103      -15       -6        2 
            295     1   0.0000000  103      -15       -5        1 
            296     1   0.0000000  103       16        6       -1 
            297     1   0.0000000  103      -16       -5        4 
            298     1   0.0000000  103      -15       -6        4 
            299     1   0.0000000  103      -15       -5        3 
            300     1   0.0000000  103       16        6       -3 
            301     1   0.0000000  103      -16       -5        6 
            302     1   0.0000000  103      -15       -6        6 
            303     1   0.0000000  103      -15       -5        5 
            304     1   0.0000000  103       16        6       -5 
            305     1   0.0000000  103        2        2        3 
            306     1   0.0000000  103       -1       -1       -3 
            307     1   0.0000000  103        2        2        5 
            308     1   0.0000000  103       -1       -1       -5 
            309     1   0.0000000  103        2        4        1 
            310     1   0.0000000  103        2        4        3 
            311     1   0.0000000  103       -1       -3       -3 
            312     1   0.0000000  103        2        4        5 
            313     1   0.0000000  103       -1       -3       -5 
            314     1   0.0000000  103        2        6        1 
            315     1   0.0000000  103        2        6        3 
            316     1   0.0000000  103        2        6        5 
            317     1   0.0000000  103       -1       -5       -5 
            318     1   0.0000000  103        4        4        1 
            319     1   0.0000000  103        4        4        5 
            320     1   0.0000000  103       -3       -3       -5 
            321     1   0.0000000  103        4        6        1 
            322     1   0.0000000  103        4        6        3 
            323     1   0.0000000  103        4        6        5 
            324     1   0.0000000  103       -3       -5       -5 
            325     1   0.0000000  103        6        6        1 
            326     1   0.0000000  103        6        6        3 

 2000001  ~d_R             ~d_Rbar            1  -1   1  1.000e+04  6.879e-04  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        1 
              1     1   0.0000000  103  1000039        3 
              2     1   0.0000000  103  1000039        5 
              3     1   0.0000000  103  1000024        2 
              4     1   0.0000000  103  1000024        4 
              5     1   0.0000000  103  1000024        6 
              6     1   0.0000000  103  1000037        2 
              7     1   0.0000000  103  1000037        4 
              8     1   0.0000000  103  1000037        6 
              9     1   0.0000767  103  1000022        1 
             10     1   0.0000000  103  1000022        3 
             11     1   0.0000000  103  1000022        5 
             12     1   0.0000000  103  1000023        1 
             13     1   0.0000000  103  1000023        3 
             14     1   0.0000000  103  1000023        5 
             15     1   0.0000000  103  1000025        1 
             16     1   0.0000000  103  1000025        3 
             17     1   0.0000000  103  1000025        5 
             18     1   0.0000000  103  1000035        1 
             19     1   0.0000000  103  1000035        3 
             20     1   0.0000000  103  1000035        5 
             21     1   0.0000000  103  1000023        1 
             22     1   0.0000000  103  1000023        3 
             23     1   0.0000000  103  1000023        5 
             24     1   0.0000000  103  1000025        1 
             25     1   0.0000000  103  1000025        3 
             26     1   0.0000000  103  1000025        5 
             27     1   0.0000000  103  1000001       23 
             28     1   0.0000000  103  1000003       23 
             29     1   0.0000000  103  1000005       23 
             30     1   0.0000000  103  2000003       23 
             31     1   0.0000000  103  2000005       23 
             32     1   0.0000000  103  1000001       25 
             33     1   0.0000000  103  1000003       25 
             34     1   0.0000000  103  1000005       25 
             35     1   0.0000000  103  2000003       25 
             36     1   0.0000000  103  2000005       25 
             37     1   0.0000000  103  1000001       35 
             38     1   0.0000000  103  1000003       35 
             39     1   0.0000000  103  1000005       35 
             40     1   0.0000000  103  2000003       35 
             41     1   0.0000000  103  2000005       35 
             42     1   0.0000000  103  1000001       36 
             43     1   0.0000000  103  1000003       36 
             44     1   0.0000000  103  1000005       36 
             45     1   0.0000000  103  2000003       36 
             46     1   0.0000000  103  2000005       36 
             47     1   0.0000000  103  1000002      -24 
             48     1   0.0000000  103  1000004      -24 
             49     1   0.0000000  103  1000006      -24 
             50     1   0.0000000  103  2000002      -24 
             51     1   0.0000000  103  2000004      -24 
             52     1   0.0000000  103  2000006      -24 
             53     1   0.0000000  103  1000002      -37 
             54     1   0.0000000  103  1000004      -37 
             55     1   0.0000000  103  1000006      -37 
             56     1   0.0000000  103  2000002      -37 
             57     1   0.0000000  103  2000004      -37 
             58     1   0.0000000  103  2000006      -37 
             59     1   0.9999233  103  1000021        1 
             60     1   0.0000000  103  1000021        2 
             61     1   0.0000000  103  1000021        5 
             62     1   0.0000000  103      -12        1 
             63     1   0.0000000  103      -12        3 
             64     1   0.0000000  103      -12        5 
             65     1   0.0000000  103      -14        1 
             66     1   0.0000000  103      -14        3 
             67     1   0.0000000  103      -14        5 
             68     1   0.0000000  103      -16        1 
             69     1   0.0000000  103      -16        3 
             70     1   0.0000000  103      -16        5 
             71     1   0.0000000  103       12        1 
             72     1   0.0000000  103       11        2 
             73     1   0.0000000  103       12        3 
             74     1   0.0000000  103       11        4 
             75     1   0.0000000  103       12        5 
             76     1   0.0000000  103       11        6 
             77     1   0.0000000  103       14        1 
             78     1   0.0000000  103       13        2 
             79     1   0.0000000  103       14        3 
             80     1   0.0000000  103       13        4 
             81     1   0.0000000  103       14        5 
             82     1   0.0000000  103       13        6 
             83     1   0.0000000  103       16        1 
             84     1   0.0000000  103       15        2 
             85     1   0.0000000  103       16        3 
             86     1   0.0000000  103       15        4 
             87     1   0.0000000  103       16        5 
             88     1   0.0000000  103       15        6 
             89     1   0.0000000  103       -2       -3 
             90     1   0.0000000  103       -2       -5 
             91     1   0.0000000  103       -4       -3 
             92     1   0.0000000  103       -4       -5 
             93     1   0.0000000  103       -6       -3 
             94     1   0.0000000  103       -6       -5 

 2000002  ~u_R             ~u_Rbar            1   2   1  1.000e+03  6.814e-03  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        2 
              1     1   0.0000000  103  1000039        4 
              2     1   0.0000000  103  1000039        6 
              3     1   0.0000000  103  1000024        1 
              4     1   0.0000000  103  1000024        3 
              5     1   0.0000000  103  1000024        5 
              6     1   0.0000000  103  1000037        1 
              7     1   0.0000000  103  1000037        3 
              8     1   0.0000000  103  1000037        5 
              9     1   0.0003086  103  1000022        2 
             10     1   0.0000000  103  1000022        4 
             11     1   0.0000000  103  1000022        6 
             12     1   0.0000000  103  1000023        2 
             13     1   0.0000000  103  1000023        4 
             14     1   0.0000000  103  1000023        6 
             15     1   0.0000000  103  1000025        2 
             16     1   0.0000000  103  1000025        4 
             17     1   0.0000000  103  1000025        6 
             18     1   0.0000000  103  1000035        2 
             19     1   0.0000000  103  1000035        4 
             20     1   0.0000000  103  1000035        6 
             21     1   0.0000000  103  1000002       23 
             22     1   0.0000000  103  1000004       23 
             23     1   0.0000000  103  1000006       23 
             24     1   0.0000000  103  2000004       23 
             25     1   0.0000000  103  2000006       23 
             26     1   0.0000000  103  1000002       25 
             27     1   0.0000000  103  1000004       25 
             28     1   0.0000000  103  1000006       25 
             29     1   0.0000000  103  2000004       25 
             30     1   0.0000000  103  2000006       25 
             31     1   0.0000000  103  1000002       35 
             32     1   0.0000000  103  1000004       35 
             33     1   0.0000000  103  1000006       35 
             34     1   0.0000000  103  2000004       35 
             35     1   0.0000000  103  2000006       35 
             36     1   0.0000000  103  1000002       36 
             37     1   0.0000000  103  1000004       36 
             38     1   0.0000000  103  1000006       36 
             39     1   0.0000000  103  2000004       36 
             40     1   0.0000000  103  2000006       36 
             41     1   0.0000000  103  1000001      -24 
             42     1   0.0000000  103  1000003      -24 
             43     1   0.0000000  103  1000005      -24 
             44     1   0.0000000  103  2000001      -24 
             45     1   0.0000000  103  2000003      -24 
             46     1   0.0000000  103  2000005      -24 
             47     1   0.0000000  103  1000001      -37 
             48     1   0.0000000  103  1000003      -37 
             49     1   0.0000000  103  1000005      -37 
             50     1   0.0000000  103  2000001      -37 
             51     1   0.0000000  103  2000003      -37 
             52     1   0.0000000  103  2000005      -37 
             53     1   0.9996914  103  1000021        2 
             54     1   0.0000000  103  1000021        4 
             55     1   0.0000000  103  1000021        6 
             56     1   0.0000000  103      -11        1 
             57     1   0.0000000  103      -11        3 
             58     1   0.0000000  103      -11        5 
             59     1   0.0000000  103      -13        1 
             60     1   0.0000000  103      -13        3 
             61     1   0.0000000  103      -13        5 
             62     1   0.0000000  103      -15        1 
             63     1   0.0000000  103      -15        3 
             64     1   0.0000000  103      -15        5 
             65     1   0.0000000  103       -1       -3 
             66     1   0.0000000  103       -1       -5 
             67     1   0.0000000  103       -3       -5 

 2000003  ~s_R             ~s_Rbar            1  -1   1  1.000e+04  5.273e-08  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        1 
              1     1   0.0000000  103  1000039        3 
              2     1   0.0000000  103  1000039        5 
              3     1   0.0000000  103 -1000024        2 
              4     1   0.0000000  103 -1000037        2 
              5     1   0.0000000  103 -1000024        4 
              6     1   0.0000000  103 -1000037        4 
              7     1   0.0000000  103 -1000024        6 
              8     1   0.0000000  103 -1000037        6 
              9     1   0.0000000  103  1000022        1 
             10     1   1.0000000  103  1000022        3 
             11     1   0.0000000  103  1000022        5 
             12     1   0.0000000  103  1000023        1 
             13     1   0.0000000  103  1000023        3 
             14     1   0.0000000  103  1000023        5 
             15     1   0.0000000  103  1000025        1 
             16     1   0.0000000  103  1000025        3 
             17     1   0.0000000  103  1000025        5 
             18     1   0.0000000  103  1000035        1 
             19     1   0.0000000  103  1000035        3 
             20     1   0.0000000  103  1000035        5 
             21     1   0.0000000  103  1000023        1 
             22     1   0.0000000  103  1000023        3 
             23     1   0.0000000  103  1000023        5 
             24     1   0.0000000  103  1000025        1 
             25     1   0.0000000  103  1000025        3 
             26     1   0.0000000  103  1000025        5 
             27     1   0.0000000  103  1000001       23 
             28     1   0.0000000  103  1000003       23 
             29     1   0.0000000  103  1000005       23 
             30     1   0.0000000  103  2000001       23 
             31     1   0.0000000  103  2000005       23 
             32     1   0.0000000  103  1000001       25 
             33     1   0.0000000  103  1000003       25 
             34     1   0.0000000  103  1000005       25 
             35     1   0.0000000  103  2000001       25 
             36     1   0.0000000  103  2000005       25 
             37     1   0.0000000  103  1000001       35 
             38     1   0.0000000  103  1000003       35 
             39     1   0.0000000  103  1000005       35 
             40     1   0.0000000  103  2000001       35 
             41     1   0.0000000  103  2000005       35 
             42     1   0.0000000  103  1000001       36 
             43     1   0.0000000  103  1000003       36 
             44     1   0.0000000  103  1000005       36 
             45     1   0.0000000  103  2000001       36 
             46     1   0.0000000  103  2000005       36 
             47     1   0.0000000  103  1000002      -24 
             48     1   0.0000000  103  1000004      -24 
             49     1   0.0000000  103  1000006      -24 
             50     1   0.0000000  103  2000002      -24 
             51     1   0.0000000  103  2000004      -24 
             52     1   0.0000000  103  2000006      -24 
             53     1   0.0000000  103  1000002      -37 
             54     1   0.0000000  103  1000004      -37 
             55     1   0.0000000  103  1000006      -37 
             56     1   0.0000000  103  2000002      -37 
             57     1   0.0000000  103  2000004      -37 
             58     1   0.0000000  103  2000006      -37 
             59     1   0.0000000  103  1000021        1 
             60     1   0.0000000  103  1000021        2 
             61     1   0.0000000  103  1000021        5 
             62     1   0.0000000  103      -12        1 
             63     1   0.0000000  103      -12        3 
             64     1   0.0000000  103      -12        5 
             65     1   0.0000000  103      -14        1 
             66     1   0.0000000  103      -14        3 
             67     1   0.0000000  103      -14        5 
             68     1   0.0000000  103      -16        1 
             69     1   0.0000000  103      -16        3 
             70     1   0.0000000  103      -16        5 
             71     1   0.0000000  103       12        1 
             72     1   0.0000000  103       11        2 
             73     1   0.0000000  103       12        3 
             74     1   0.0000000  103       11        4 
             75     1   0.0000000  103       12        5 
             76     1   0.0000000  103       11        6 
             77     1   0.0000000  103       14        1 
             78     1   0.0000000  103       13        2 
             79     1   0.0000000  103       14        3 
             80     1   0.0000000  103       13        4 
             81     1   0.0000000  103       14        5 
             82     1   0.0000000  103       13        6 
             83     1   0.0000000  103       16        1 
             84     1   0.0000000  103       15        2 
             85     1   0.0000000  103       16        3 
             86     1   0.0000000  103       15        4 
             87     1   0.0000000  103       16        5 
             88     1   0.0000000  103       15        6 
             89     1   0.0000000  103       -2       -1 
             90     1   0.0000000  103       -2       -5 
             91     1   0.0000000  103       -4       -1 
             92     1   0.0000000  103       -4       -5 
             93     1   0.0000000  103       -6       -1 
             94     1   0.0000000  103       -6       -5 

 2000004  ~c_R             ~c_Rbar            1   2   1  1.000e+03  6.814e-03  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        2 
              1     1   0.0000000  103  1000039        4 
              2     1   0.0000000  103  1000039        6 
              3     1   0.0000000  103  1000024        1 
              4     1   0.0000000  103  1000024        3 
              5     1   0.0000000  103  1000024        5 
              6     1   0.0000000  103  1000037        1 
              7     1   0.0000000  103  1000037        3 
              8     1   0.0000000  103  1000037        5 
              9     1   0.0000000  103  1000022        2 
             10     1   0.0003086  103  1000022        4 
             11     1   0.0000000  103  1000022        6 
             12     1   0.0000000  103  1000023        2 
             13     1   0.0000000  103  1000023        4 
             14     1   0.0000000  103  1000023        6 
             15     1   0.0000000  103  1000025        2 
             16     1   0.0000000  103  1000025        4 
             17     1   0.0000000  103  1000025        6 
             18     1   0.0000000  103  1000035        2 
             19     1   0.0000000  103  1000035        4 
             20     1   0.0000000  103  1000035        6 
             21     1   0.0000000  103  1000002       23 
             22     1   0.0000000  103  1000004       23 
             23     1   0.0000000  103  1000006       23 
             24     1   0.0000000  103  2000002       23 
             25     1   0.0000000  103  2000006       23 
             26     1   0.0000000  103  1000002       25 
             27     1   0.0000000  103  1000004       25 
             28     1   0.0000000  103  1000006       25 
             29     1   0.0000000  103  2000002       25 
             30     1   0.0000000  103  2000006       25 
             31     1   0.0000000  103  1000002       35 
             32     1   0.0000000  103  1000004       35 
             33     1   0.0000000  103  1000006       35 
             34     1   0.0000000  103  2000002       35 
             35     1   0.0000000  103  2000006       35 
             36     1   0.0000000  103  1000002       36 
             37     1   0.0000000  103  1000004       36 
             38     1   0.0000000  103  1000006       36 
             39     1   0.0000000  103  2000002       36 
             40     1   0.0000000  103  2000006       36 
             41     1   0.0000000  103  1000001      -24 
             42     1   0.0000000  103  1000003      -24 
             43     1   0.0000000  103  1000005      -24 
             44     1   0.0000000  103  2000001      -24 
             45     1   0.0000000  103  2000003      -24 
             46     1   0.0000000  103  2000005      -24 
             47     1   0.0000000  103  1000001      -37 
             48     1   0.0000000  103  1000003      -37 
             49     1   0.0000000  103  1000005      -37 
             50     1   0.0000000  103  2000001      -37 
             51     1   0.0000000  103  2000003      -37 
             52     1   0.0000000  103  2000005      -37 
             53     1   0.0000000  103  1000021        2 
             54     1   0.9996914  103  1000021        4 
             55     1   0.0000000  103  1000021        6 
             56     1   0.0000000  103      -11        1 
             57     1   0.0000000  103      -11        3 
             58     1   0.0000000  103      -11        5 
             59     1   0.0000000  103      -13        1 
             60     1   0.0000000  103      -13        3 
             61     1   0.0000000  103      -13        5 
             62     1   0.0000000  103      -15        1 
             63     1   0.0000000  103      -15        3 
             64     1   0.0000000  103      -15        5 
             65     1   0.0000000  103       -1       -3 
             66     1   0.0000000  103       -1       -5 
             67     1   0.0000000  103       -3       -5 

 2000005  ~b_2             ~b_2bar            1  -1   1  1.000e+04  6.876e-04  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        1 
              1     1   0.0000000  103  1000039        3 
              2     1   0.0000000  103  1000039        5 
              3     1   0.0000000  103 -1000024        2 
              4     1   0.0000000  103 -1000037        2 
              5     1   0.0000000  103 -1000024        4 
              6     1   0.0000000  103 -1000037        4 
              7     1   0.0000000  103 -1000024        6 
              8     1   0.0000000  103 -1000037        6 
              9     1   0.0000000  103  1000022        1 
             10     1   0.0000000  103  1000022        3 
             11     1   0.0000698  103  1000022        5 
             12     1   0.0000000  103  1000023        1 
             13     1   0.0000000  103  1000023        3 
             14     1   0.0000685  103  1000023        5 
             15     1   0.0000000  103  1000025        1 
             16     1   0.0000000  103  1000025        3 
             17     1   0.0000509  103  1000025        5 
             18     1   0.0000000  103  1000035        1 
             19     1   0.0000000  103  1000035        3 
             20     1   0.0000000  103  1000035        5 
             21     1   0.0000000  103  1000023        1 
             22     1   0.0000000  103  1000023        3 
             23     1   0.0000685  103  1000023        5 
             24     1   0.0000000  103  1000025        1 
             25     1   0.0000000  103  1000025        3 
             26     1   0.0000509  103  1000025        5 
             27     1   0.0000000  103  1000001       23 
             28     1   0.0000000  103  1000003       23 
             29     1   0.0000000  103  1000005       23 
             30     1   0.0000000  103  2000001       23 
             31     1   0.0000000  103  2000003       23 
             32     1   0.0000000  103  1000001       25 
             33     1   0.0000000  103  1000003       25 
             34     1   0.0000000  103  1000005       25 
             35     1   0.0000000  103  2000001       25 
             36     1   0.0000000  103  2000003       25 
             37     1   0.0000000  103  1000001       35 
             38     1   0.0000000  103  1000003       35 
             39     1   0.0000000  103  1000005       35 
             40     1   0.0000000  103  2000001       35 
             41     1   0.0000000  103  2000003       35 
             42     1   0.0000000  103  1000001       36 
             43     1   0.0000000  103  1000003       36 
             44     1   0.0000000  103  1000005       36 
             45     1   0.0000000  103  2000001       36 
             46     1   0.0000000  103  2000003       36 
             47     1   0.0000000  103  1000002      -24 
             48     1   0.0000000  103  1000004      -24 
             49     1   0.0000000  103  1000006      -24 
             50     1   0.0000000  103  2000002      -24 
             51     1   0.0000000  103  2000004      -24 
             52     1   0.0000000  103  2000006      -24 
             53     1   0.0000000  103  1000002      -37 
             54     1   0.0000000  103  1000004      -37 
             55     1   0.0000000  103  1000006      -37 
             56     1   0.0000000  103  2000002      -37 
             57     1   0.0000000  103  2000004      -37 
             58     1   0.0000000  103  2000006      -37 
             59     1   0.0000000  103  1000021        1 
             60     1   0.0000000  103  1000021        2 
             61     1   0.9996913  103  1000021        5 
             62     1   0.0000000  103      -12        1 
             63     1   0.0000000  103      -12        3 
             64     1   0.0000000  103      -12        5 
             65     1   0.0000000  103      -14        1 
             66     1   0.0000000  103      -14        3 
             67     1   0.0000000  103      -14        5 
             68     1   0.0000000  103      -16        1 
             69     1   0.0000000  103      -16        3 
             70     1   0.0000000  103      -16        5 
             71     1   0.0000000  103       12        1 
             72     1   0.0000000  103       11        2 
             73     1   0.0000000  103       12        3 
             74     1   0.0000000  103       11        4 
             75     1   0.0000000  103       12        5 
             76     1   0.0000000  103       11        6 
             77     1   0.0000000  103       14        1 
             78     1   0.0000000  103       13        2 
             79     1   0.0000000  103       14        3 
             80     1   0.0000000  103       13        4 
             81     1   0.0000000  103       14        5 
             82     1   0.0000000  103       13        6 
             83     1   0.0000000  103       16        1 
             84     1   0.0000000  103       15        2 
             85     1   0.0000000  103       16        3 
             86     1   0.0000000  103       15        4 
             87     1   0.0000000  103       16        5 
             88     1   0.0000000  103       15        6 
             89     1   0.0000000  103       -2       -1 
             90     1   0.0000000  103       -2       -3 
             91     1   0.0000000  103       -4       -1 
             92     1   0.0000000  103       -4       -3 
             93     1   0.0000000  103       -6       -1 
             94     1   0.0000000  103       -6       -3 

 2000006  ~t_2             ~t_2bar            1   2   1  1.000e+04  6.676e-04  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039        2 
              1     1   0.0000000  103  1000039        4 
              2     1   0.0000000  103  1000039        6 
              3     1   0.0000000  103  1000024        1 
              4     1   0.0000000  103  1000024        3 
              5     1   0.0000000  103  1000024        5 
              6     1   0.0000000  103  1000037        1 
              7     1   0.0000000  103  1000037        3 
              8     1   0.0000000  103  1000037        5 
              9     1   0.0000000  103  1000022        2 
             10     1   0.0000000  103  1000022        4 
             11     1   0.0001079  103  1000022        6 
             12     1   0.0000000  103  1000023        2 
             13     1   0.0000000  103  1000023        4 
             14     1   0.0004097  103  1000023        6 
             15     1   0.0000000  103  1000025        2 
             16     1   0.0000000  103  1000025        4 
             17     1   0.0000000  103  1000025        6 
             18     1   0.0000000  103  1000035        2 
             19     1   0.0000000  103  1000035        4 
             20     1   0.0022590  103  1000035        6 
             21     1   0.0000000  103  1000002       23 
             22     1   0.0000000  103  1000004       23 
             23     1   0.0000000  103  1000006       23 
             24     1   0.0000000  103  2000002       23 
             25     1   0.0000000  103  2000004       23 
             26     1   0.0000000  103  1000002       25 
             27     1   0.0000000  103  1000004       25 
             28     1   0.0000000  103  1000006       25 
             29     1   0.0000000  103  2000002       25 
             30     1   0.0000000  103  2000004       25 
             31     1   0.0000000  103  1000002       35 
             32     1   0.0000000  103  1000004       35 
             33     1   0.0000000  103  1000006       35 
             34     1   0.0000000  103  2000002       35 
             35     1   0.0000000  103  2000004       35 
             36     1   0.0000000  103  1000002       36 
             37     1   0.0000000  103  1000004       36 
             38     1   0.0000000  103  1000006       36 
             39     1   0.0000000  103  2000002       36 
             40     1   0.0000000  103  2000004       36 
             41     1   0.0000000  103  1000001      -24 
             42     1   0.0000000  103  1000003      -24 
             43     1   0.0000000  103  1000005      -24 
             44     1   0.0000000  103  2000001      -24 
             45     1   0.0000000  103  2000003      -24 
             46     1   0.0000000  103  2000005      -24 
             47     1   0.0000000  103  1000001      -37 
             48     1   0.0000000  103  1000003      -37 
             49     1   0.0000000  103  1000005      -37 
             50     1   0.0000000  103  2000001      -37 
             51     1   0.0000000  103  2000003      -37 
             52     1   0.0000000  103  2000005      -37 
             53     1   0.0000000  103  1000021        2 
             54     1   0.0000000  103  1000021        4 
             55     1   0.9972234  103  1000021        6 
             56     1   0.0000000  103      -11        1 
             57     1   0.0000000  103      -11        3 
             58     1   0.0000000  103      -11        5 
             59     1   0.0000000  103      -13        1 
             60     1   0.0000000  103      -13        3 
             61     1   0.0000000  103      -13        5 
             62     1   0.0000000  103      -15        1 
             63     1   0.0000000  103      -15        3 
             64     1   0.0000000  103      -15        5 
             65     1   0.0000000  103       -1       -3 
             66     1   0.0000000  103       -1       -5 
             67     1   0.0000000  103       -3       -5 

 2000011  ~e_R-            ~e_R+              1  -3   0  2.441e+04  2.645e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       11 
              1     1   0.2648256  103 -1000024       12 
              2     1   0.0000000  103 -1000037       12 
              3     1   0.7351744  103  1000022       11 
              4     1   0.0000000  103  1000023       11 
              5     1   0.0000000  103  1000025       11 
              6     1   0.0000000  103  1000035       11 
              7     1   0.0000000  103  1000011       23 
              8     1   0.0000000  103  1000011       25 
              9     1   0.0000000  103  1000011       35 
             10     1   0.0000000  103  1000011       36 
             11     1   0.0000000  103  1000012      -24 
             12     1   0.0000000  103  2000012      -24 
             13     1   0.0000000  103  1000012      -37 
             14     1   0.0000000  103  2000012      -37 
             15     1   0.0000000  103       12       13 
             16     1   0.0000000  103       12       15 
             17     1   0.0000000  103       14       11 
             18     1   0.0000000  103       14       15 
             19     1   0.0000000  103       16       11 
             20     1   0.0000000  103       16       13 
             21     1   0.0000000  103      -14       11 
             22     1   0.0000000  103      -14       13 
             23     1   0.0000000  103      -14       15 
             24     1   0.0000000  103      -16       11 
             25     1   0.0000000  103      -16       13 
             26     1   0.0000000  103      -16       15 
             27     1   0.0000000  103       -2        1 
             28     1   0.0000000  103       -2        3 
             29     1   0.0000000  103       -2        5 
             30     1   0.0000000  103       -4        1 
             31     1   0.0000000  103       -4        3 
             32     1   0.0000000  103       -4        5 
             33     1   0.0000000  103       -6        1 
             34     1   0.0000000  103       -6        3 
             35     1   0.0000000  103       -6        5 

 2000013  ~mu_R-           ~mu_R+             1  -3   0  2.441e+04  2.645e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       13 
              1     1   0.2648256  103 -1000024       14 
              2     1   0.0000000  103 -1000037       14 
              3     1   0.7351744  103  1000022       13 
              4     1   0.0000000  103  1000023       13 
              5     1   0.0000000  103  1000025       13 
              6     1   0.0000000  103  1000035       13 
              7     1   0.0000000  103  1000013       23 
              8     1   0.0000000  103  1000013       25 
              9     1   0.0000000  103  1000013       35 
             10     1   0.0000000  103  1000013       36 
             11     1   0.0000000  103  1000014      -24 
             12     1   0.0000000  103  2000014      -24 
             13     1   0.0000000  103  1000014      -37 
             14     1   0.0000000  103  2000014      -37 
             15     1   0.0000000  103       12       13 
             16     1   0.0000000  103       12       15 
             17     1   0.0000000  103       14       11 
             18     1   0.0000000  103       14       15 
             19     1   0.0000000  103       16       11 
             20     1   0.0000000  103       16       13 
             21     1   0.0000000  103      -12       11 
             22     1   0.0000000  103      -12       13 
             23     1   0.0000000  103      -12       15 
             24     1   0.0000000  103      -16       11 
             25     1   0.0000000  103      -16       13 
             26     1   0.0000000  103      -16       15 
             27     1   0.0000000  103       -2        1 
             28     1   0.0000000  103       -2        3 
             29     1   0.0000000  103       -2        5 
             30     1   0.0000000  103       -4        1 
             31     1   0.0000000  103       -4        3 
             32     1   0.0000000  103       -4        5 
             33     1   0.0000000  103       -6        1 
             34     1   0.0000000  103       -6        3 
             35     1   0.0000000  103       -6        5 

 2000015  ~tau_2-          ~tau_2+            1  -3   0  2.067e+04  2.802e-07  5.000e+01  0.000e+00  0.00000e+00   1   1   0   1   0
              0     1   0.0000000  103  1000039       15 
              1     1   0.0873597  103 -1000024       16 
              2     1   0.0000000  103 -1000037       16 
              3     1   0.2536898  103  1000022       15 
              4     1   0.6269832  103  1000023       15 
              5     1   0.0319672  103  1000025       15 
              6     1   0.0000000  103  1000035       15 
              7     1   0.0000000  103  1000015       23 
              8     1   0.0000000  103  1000015       25 
              9     1   0.0000000  103  1000015       35 
             10     1   0.0000000  103  1000015       36 
             11     1   0.0000000  103  1000016      -24 
             12     1   0.0000000  103  2000016      -24 
             13     1   0.0000000  103  1000016      -37 
             14     1   0.0000000  103  2000016      -37 
             15     1   0.0000000  103       12       13 
             16     1   0.0000000  103       12       15 
             17     1   0.0000000  103       14       11 
             18     1   0.0000000  103       14       15 
             19     1   0.0000000  103       16       11 
             20     1   0.0000000  103       16       13 
             21     1   0.0000000  103      -12       11 
             22     1   0.0000000  103      -12       13 
             23     1   0.0000000  103      -12       15 
             24     1   0.0000000  103      -14       11 
             25     1   0.0000000  103      -14       13 
             26     1   0.0000000  103      -14       15 
             27     1   0.0000000  103       -2        1 
             28     1   0.0000000  103       -2        3 
             29     1   0.0000000  103       -2        5 
             30     1   0.0000000  103       -4        1 
             31     1   0.0000000  103       -4        3 
             32     1   0.0000000  103       -4        5 
             33     1   0.0000000  103       -6        1 
             34     1   0.0000000  103       -6        3 
             35     1   0.0000000  103       -6        5 

 9000006  sextet           sextetbar          1   4   3  500.00000    1.00000    0.66000    0.00000  1.97000e-13   1   1   0   1   0
              0     1   1.0000000  100        2        2 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  LHA initialization information  ------------ 

  beam    kind      energy  pdfgrp  pdfset 
     A    2212    4000.000       0   10042
     B    2212    4000.000       0   10042

  Event weighting strategy =  3

  Processes, with strategy-dependent cross section info 
  number      xsec (pb)      xerr (pb)      xmax (pb) 
     661     3.8860e+03     4.0300e+00     3.8944e-02

 --------  End LHA initialization information  -------- 

Begin event # 0

 --------  LHA event information and listing  ---------------------------------------------------------------------- 

    process =        1    weight =   3.1703e+00     scale =   3.4814e+02 (GeV) 
                        alpha_em =   7.8165e-03    alpha_strong =   1.0722e-01

    Participating Particles 
    no        id stat     mothers     colours      p_x        p_y        p_z         e          m        tau    spin 
     1        -1   -1     0     0     0   501      0.000      0.000    477.456    477.456      0.000   0.000   1.000
     2        -3   -1     0     0     0   502      0.000      0.000    -63.461     63.461      0.000   0.000   1.000
     3   1000006    2     1     2   503     0      0.000      0.000    413.995    540.917    348.137   0.000   0.000
     4         6    1     3     3   503     0     55.020     55.099    352.628    400.466    173.100   0.000  -1.000
     5   1000022    1     3     3     0     0    -55.020    -55.099     61.367    140.451     99.486   0.000  -1.000

 --------  End LHA event information and listing  ------------------------------------------------------------------ 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  4.000e+03, e =  4.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -4.000e+03, e =  4.000e+03, m =  9.383e-01.

 In 1: id =   -1, x =  1.194e-01, pdf =  0.000e+00 at Q2 =  1.212e+05.
 In 2: id =   -3, x =  1.587e-02, pdf =  0.000e+00 at same Q2.

 Process Les Houches User Process(es) with code 9999 is 2 -> 1.
 Subprocess user process 1 with code 1 is 2 -> 1.
 It has sHat =  1.212e+05.
     alphaEM =  7.817e-03,  alphaS =  1.072e-01    at Q2 =  1.212e+05.

 Impact parameter b =  0.000e+00 gives enhancement factor =  1.000e+00.
 Max pT scale for MPI =  8.000e+03, ISR =  8.000e+03, FSR =  8.000e+03.
 Number of MPI =     1, ISR =     0, FSRproc =     0, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3        -1   (dbar)             -21     1     0     5     0     0   501      0.000      0.000    477.456    477.456      0.000
     4        -3   (sbar)             -21     2     0     5     0     0   502      0.000      0.000    -63.461     63.461      0.000
     5   1000006   (~t_1)             -22     3     4     6     7   503     0      0.000      0.000    413.995    540.917    348.137
     6         6   (t)                -22     5     0     8     9   503     0     55.020     55.099    352.628    400.466    173.100
     7   1000022   ~chi_10             23     5     0     0     0     0     0    -55.020    -55.099     61.367    140.451     99.486
     8        24   (W+)               -22     6     0    10    11     0     0     -1.788     89.132    266.062    291.369     78.483
     9         5   b                   23     6     0     0     0   503     0     56.808    -34.033     86.566    109.097      4.800
    10       -13   mu+                 23     8     0     0     0     0     0     34.570     45.829    175.063    184.235      0.106
    11        14   nu_mu               23     8     0     0     0     0     0    -36.358     43.303     90.998    107.134      0.000
                                   Charge sum:  0.667           Momentum sum:      0.000      0.000    413.995    540.917    348.137

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   8000.000   8000.000
     1      2212   (p+)               -12     0     0     6     0     0     0      0.000      0.000   4000.000   4000.000      0.938
     2      2212   (p+)               -12     0     0     7     0     0     0      0.000      0.000  -4000.000   4000.000      0.938
     3        -1   (dbar)             -21     6     6     5     0     0   501      0.000      0.000    477.456    477.456      0.000
     4        -3   (sbar)             -21     7     7     5     0     0   502      0.000      0.000    -63.461     63.461      0.000
     5   1000006   (~t_1)             -22     3     4     8     8   503     0      0.000      0.000    413.995    540.917    348.137
     6        -1   (dbar)             -61     1     0     3     3     0   501      2.185      0.481    477.450    477.456      0.000
     7        -3   (sbar)             -61     2     0     4     4     0   502      2.255     -2.931    -63.411     63.519      0.000
     8   1000006   (~t_1)             -62     5     5    15    16   503     0      4.441     -2.450    414.039    540.974    348.137
     9      2203   (uu_1)             -63     1     0    26    26     0   504     -0.863      0.113   3042.849   3042.849      0.771
    10         1   (d)                -63     1     0    31    31   501     0     -0.678      0.185     74.561     74.565      0.330
    11         1   (d)                -63     1     0    25    25   504     0     -0.644     -0.779    405.078    405.080      0.330
    12      2203   (uu_1)             -63     2     0    22    22     0   507     -0.987      0.707  -2462.035   2462.035      0.771
    13         1   (d)                -63     2     0    30    30   502     0     -0.622      1.249   -751.170    751.171      0.330
    14         3   (s)                -63     2     0    21    21   507     0     -0.646      0.975   -723.324    723.325      0.500
    15         6   (t)                -22     8     0    17    18   503     0     58.308     53.284    352.661    400.715    173.100
    16   1000022   ~chi_10             23     8     0     0     0     0     0    -53.868    -55.734     61.379    140.260     99.486
    17        24   (W+)               -22    15     0    19    20     0     0      0.602     87.813    266.085    290.985     78.483
    18         5   (b)                -23    15     0    32    32   503     0     57.706    -34.528     86.575    109.729      4.800
    19       -13   mu+                 23    17     0     0     0     0     0     36.083     44.994    175.078    184.334      0.106
    20        14   nu_mu               23    17     0     0     0     0     0    -35.481     42.819     91.007    106.652      0.000
    21         3   (s)                -71    14    14    23    24   507     0     -0.646      0.975   -723.324    723.325      0.500
    22      2203   (uu_1)             -71    12    12    23    24     0   507     -0.987      0.707  -2462.035   2462.035      0.771
    23      -311   (Kbar0)            -82    21    22    52    52     0     0     -1.529      1.402  -2041.142   2041.143      0.498
    24      2212   p+                  82    21    22     0     0     0     0     -0.104      0.281  -1144.216   1144.216      0.938
    25         1   (d)                -71    11    11    27    29   504     0     -0.644     -0.779    405.078    405.080      0.330
    26      2203   (uu_1)             -71     9     9    27    29     0   504     -0.863      0.113   3042.849   3042.849      0.771
    27       313   (K*0)              -83    25    26    53    54     0     0     -0.584     -0.150    823.125    823.125      0.926
    28      -311   (Kbar0)            -84    25    26    55    55     0     0     -0.581      0.301   1248.931   1248.931      0.498
    29      2212   p+                  84    25    26     0     0     0     0     -0.343     -0.818   1375.872   1375.872      0.938
    30         1   (d)                -71    13    13    33    51   502     0     -0.622      1.249   -751.170    751.171      0.330
    31         1   (d)                -71    10    10    33    51   501     0     -0.678      0.185     74.561     74.565      0.330
    32         5   (b)                -71    18    18    33    51   503     0     57.706    -34.528     86.575    109.729      4.800
    33      -213   (rho-)             -85    30    32    56    57     0     0     -0.053      0.267     62.949     62.962      1.268
    34       111   (pi0)              -85    30    32    64    65     0     0     -0.315      0.423      4.214      4.249      0.135
    35       211   pi+                 85    30    32     0     0     0     0     -0.509     -0.850      3.025      3.186      0.140
    36       111   (pi0)              -85    30    32    66    67     0     0      0.842     -0.241      0.680      1.117      0.135
    37      -513   (B*bar0)           -86    30    32    68    69     0     0     52.532    -31.891     78.611     99.924      5.325
    38       111   (pi0)              -86    30    32    70    71     0     0      1.679     -0.566      2.724      3.253      0.135
    39      -211   pi-                 86    30    32     0     0     0     0      1.578     -1.106      2.881      3.469      0.140
    40       211   pi+                 86    30    32     0     0     0     0      0.553     -0.316      0.490      0.815      0.140
    41      -211   pi-                 83    30    32     0     0     0     0     -0.048      0.155   -166.382    166.382      0.140
    42       213   (rho+)             -83    30    32    58    59     0     0     -0.455      0.498   -264.592    264.594      0.717
    43       221   (eta)              -83    30    32    72    74     0     0     -0.151      0.362   -198.388    198.389      0.548
    44       223   (omega)            -83    30    32    75    77     0     0     -0.262     -0.102    -27.833     27.845      0.781
    45       311   (K0)               -84    30    32    60    60     0     0      0.293      0.513    -84.627     84.630      0.498
    46      -311   (Kbar0)            -84    30    32    61    61     0     0     -0.477      0.122     -4.626      4.679      0.498
    47      2112   n0                  84    30    32     0     0     0     0      0.534     -0.064     -3.361      3.531      0.940
    48       111   (pi0)              -84    30    32    78    79     0     0      0.113     -0.154     -0.747      0.782      0.135
    49     -2212   pbar-               84    30    32     0     0     0     0     -0.022     -0.257      1.394      1.700      0.938
    50      2214   (Delta+)           -84    30    32    62    63     0     0      0.156      0.069      2.007      2.350      1.210
    51      -211   pi-                 84    30    32     0     0     0     0      0.417      0.045      1.547      1.609      0.140
    52       130   K_L0                91    23    23     0     0     0     0     -1.529      1.402  -2041.142   2041.143      0.498
    53       321   K+                  91    27     0     0     0     0     0     -0.718     -0.091    585.519    585.520      0.494
    54      -211   pi-                 91    27     0     0     0     0     0      0.134     -0.059    237.605    237.605      0.140
    55       130   K_L0                91    28    28     0     0     0     0     -0.581      0.301   1248.931   1248.931      0.498
    56      -211   pi-                 91    33     0     0     0     0     0     -0.221      0.645     52.049     52.054      0.140
    57       111   (pi0)              -91    33     0    80    81     0     0      0.168     -0.378     10.899     10.908      0.135
    58       211   pi+                 91    42     0     0     0     0     0     -0.304      0.518   -112.046    112.048      0.140
    59       111   (pi0)              -91    42     0    82    83     0     0     -0.151     -0.020   -152.546    152.546      0.135
    60       130   K_L0                91    45    45     0     0     0     0      0.293      0.513    -84.627     84.630      0.498
    61       130   K_L0                91    46    46     0     0     0     0     -0.477      0.122     -4.626      4.679      0.498
    62      2212   p+                  91    50     0     0     0     0     0      0.321      0.019      1.760      2.020      0.938
    63       111   (pi0)              -91    50     0    84    85     0     0     -0.164      0.050      0.247      0.330      0.135
    64        22   gamma               91    34     0     0     0     0     0     -0.305      0.415      4.193      4.224      0.000
    65        22   gamma               91    34     0     0     0     0     0     -0.010      0.008      0.021      0.025      0.000
    66        22   gamma               91    36     0     0     0     0     0      0.717     -0.178      0.514      0.899      0.000
    67        22   gamma               91    36     0     0     0     0     0      0.126     -0.063      0.166      0.217      0.000
    68      -511   (Bbar0)            -91    37     0    86    88     0     0     52.177    -31.703     78.036     99.222      5.280
    69        22   gamma               91    37     0     0     0     0     0      0.355     -0.189      0.575      0.702      0.000
    70        22   gamma               91    38     0     0     0     0     0      1.015     -0.396      1.594      1.930      0.000
    71        22   gamma               91    38     0     0     0     0     0      0.665     -0.171      1.130      1.322      0.000
    72       211   pi+                 91    43     0     0     0     0     0     -0.027      0.074    -25.859     25.860      0.140
    73      -211   pi-                 91    43     0     0     0     0     0     -0.158      0.238   -103.510    103.510      0.140
    74       111   (pi0)              -91    43     0    89    90     0     0      0.034      0.049    -69.019     69.020      0.135
    75       211   pi+                 91    44     0     0     0     0     0     -0.112      0.169     -5.981      5.986      0.140
    76      -211   pi-                 91    44     0     0     0     0     0     -0.117     -0.171     -4.847      4.853      0.140
    77       111   (pi0)              -91    44     0    91    92     0     0     -0.033     -0.099    -17.004     17.005      0.135
    78        22   gamma               91    48     0     0     0     0     0      0.121     -0.074     -0.353      0.380      0.000
    79        22   gamma               91    48     0     0     0     0     0     -0.009     -0.081     -0.394      0.402      0.000
    80        22   gamma               91    57     0     0     0     0     0      0.027     -0.163      3.043      3.047      0.000
    81        22   gamma               91    57     0     0     0     0     0      0.142     -0.216      7.857      7.861      0.000
    82        22   gamma               91    59     0     0     0     0     0     -0.012      0.012    -76.583     76.583      0.000
    83        22   gamma               91    59     0     0     0     0     0     -0.139     -0.032    -75.963     75.963      0.000
    84        22   gamma               91    63     0     0     0     0     0     -0.184      0.056      0.241      0.308      0.000
    85        22   gamma               91    63     0     0     0     0     0      0.020     -0.006      0.006      0.022      0.000
    86      -411   (D-)               -91    68     0    93    95     0     0     12.790     -8.302     18.627     24.145      1.870
    87      -311   (Kbar0)            -91    68     0    96    96     0     0      2.698     -1.818      3.974      5.160      0.498
    88       411   (D+)               -91    68     0    97    98     0     0     36.690    -21.583     55.434     69.917      1.870
    89        22   gamma               91    74     0     0     0     0     0      0.056      0.060    -66.140     66.140      0.000
    90        22   gamma               91    74     0     0     0     0     0     -0.022     -0.011     -2.879      2.879      0.000
    91        22   gamma               91    77     0     0     0     0     0      0.011     -0.006    -10.772     10.772      0.000
    92        22   gamma               91    77     0     0     0     0     0     -0.044     -0.093     -6.232      6.233      0.000
    93        13   mu-                 91    86     0     0     0     0     0      1.912     -1.727      2.819      3.821      0.106
    94       -14   nu_mubar            91    86     0     0     0     0     0      1.699     -0.696      2.142      2.821      0.000
    95       313   (K*0)              -91    86     0    99   100     0     0      9.179     -5.879     13.667     17.504      0.883
    96       310   (K_S0)             -91    87    87   101   102     0     0      2.698     -1.818      3.974      5.160      0.498
    97     20213   (a_1(1260)+)       -91    88     0   103   104     0     0     28.457    -16.792     42.859     54.134      1.342
    98       311   (K0)               -91    88     0   105   105     0     0      8.232     -4.790     12.575     15.783      0.498
    99       321   K+                  91    95     0     0     0     0     0      8.123     -5.367     12.359     15.741      0.494
   100      -211   pi-                 91    95     0     0     0     0     0      1.056     -0.512      1.308      1.763      0.140
   101       111   (pi0)              -91    96     0   106   107     0     0      0.795     -0.523      1.468      1.755      0.135
   102       111   (pi0)              -91    96     0   108   109     0     0      1.902     -1.295      2.507      3.406      0.135
   103       213   (rho+)             -91    97     0   110   111     0     0     17.830    -10.692     26.768     33.908      1.000
   104       111   (pi0)              -91    97     0   112   113     0     0     10.628     -6.100     16.091     20.226      0.135
   105       310   (K_S0)             -91    98    98   114   115     0     0      8.232     -4.790     12.575     15.783      0.498
   106        22   gamma               91   101     0     0     0     0     0      0.476     -0.331      0.772      0.965      0.000
   107        22   gamma               91   101     0     0     0     0     0      0.320     -0.193      0.696      0.789      0.000
   108        22   gamma               91   102     0     0     0     0     0      0.901     -0.559      1.080      1.514      0.000
   109        22   gamma               91   102     0     0     0     0     0      1.001     -0.735      1.427      1.892      0.000
   110       211   pi+                 91   103     0     0     0     0     0     15.091     -9.074     22.109     28.265      0.140
   111       111   (pi0)              -91   103     0   116   117     0     0      2.738     -1.618      4.659      5.643      0.135
   112        22   gamma               91   104     0     0     0     0     0      9.004     -5.223     13.684     17.193      0.000
   113        22   gamma               91   104     0     0     0     0     0      1.623     -0.877      2.406      3.032      0.000
   114       111   (pi0)              -91   105     0   118   119     0     0      4.591     -2.505      7.147      8.858      0.135
   115       111   (pi0)              -91   105     0   120   121     0     0      3.641     -2.286      5.428      6.925      0.135
   116        22   gamma               91   111     0     0     0     0     0      1.614     -0.881      2.651      3.226      0.000
   117        22   gamma               91   111     0     0     0     0     0      1.124     -0.737      2.008      2.417      0.000
   118        22   gamma               91   114     0     0     0     0     0      1.051     -0.592      1.557      1.969      0.000
   119        22   gamma               91   114     0     0     0     0     0      3.541     -1.913      5.591      6.889      0.000
   120        22   gamma               91   115     0     0     0     0     0      3.049     -1.970      4.602      5.861      0.000
   121        22   gamma               91   115     0     0     0     0     0      0.592     -0.316      0.826      1.064      0.000
                                   Charge sum:  2.000           Momentum sum:      0.000      0.000     -0.000   8000.000   8000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

Begin event # 1

Begin event # 2

Begin event # 3

Begin event # 4

Begin event # 5

Begin event # 6

Begin event # 7

Begin event # 8

Begin event # 9

Begin event # 10

Begin event # 11

Begin event # 12

Begin event # 13

Begin event # 14

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Begin event # 17

Begin event # 18

Begin event # 19

Begin event # 20
 PYTHIA Abort from Pythia::next: reached end of Les Houches Events File  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | Les Houches User Process(es)                  9999 |          20         20         20 |   3.886e-06  4.030e-09 |
 |    ... whereof user classification code          0 |           2          2          2 |                        | 
 |    ... whereof user classification code          1 |           4          4          4 |                        | 
 |    ... whereof user classification code          2 |           2          2          2 |                        | 
 |    ... whereof user classification code          3 |           2          2          2 |                        | 
 |    ... whereof user classification code          4 |           8          8          8 |                        | 
 |    ... whereof user classification code          6 |           2          2          2 |                        | 
 |                                                    |                                   |                        |
 | sum                                                |          20         20         20 |   3.886e-06  4.030e-09 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Abort from Pythia::next: reached end of Les Houches Events File                                        | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:07       charged particle multiplicity

        3.00*10^ 0             X         X                                                                              
        2.88*10^ 0             X         X                                                                              
        2.76*10^ 0             X         X                                                                              
        2.64*10^ 0             X         X                                                                              
        2.52*10^ 0             X         X                                                                              
        2.40*10^ 0             X         X                                                                              
        2.28*10^ 0             X         X                                                                              
        2.16*10^ 0             X         X                                                                              
        2.04*10^ 0        7    X7   7    X                                                                              
        1.92*10^ 0        X    XX   X    X                                                                              
        1.80*10^ 0        X    XX   X    X                                                                              
        1.68*10^ 0        X    XX   X    X                                                                              
        1.56*10^ 0        X    XX   X    X                                                                              
        1.44*10^ 0        X    XX   X    X                                                                              
        1.32*10^ 0        X    XX   X    X                                                                              
        1.20*10^ 0        X    XX   X    X                                                                              
        1.08*10^ 0       3X333 XX  3X3 33X                                                                              
        0.96*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.84*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.72*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.60*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.48*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.36*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.24*10^ 0       XXXXX XX  XXX XXX                                                                              
        0.12*10^ 0       XXXXX XX  XXX XXX                                                                              

          Contents                                                                                                      
            *10^ 0  0000012111032001210113000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  1482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =          20    Mean =  5.4300e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  2.0000e+01    Rms  =  2.1302e+01    Overflow  =  0.0000e+00    High edge =  3.9950e+02
pythia8-8.1.86.orig/examples/outref/out120000644000175000017500000040252412357054717016400 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:03:37    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with pbar- at a CM energy of 1.960e+03 GeV         |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> t tbar                                  601 |   7.731e-09 |
 | q qbar -> t tbar                               602 |   1.009e-07 |
 | Les Houches User Process(es)                  9999 |   5.480e-09 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   40.89 mb               | 
 |                                                                  | 
 |    pT0 =  2.12 gives sigmaInteraction =  136.61 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | Beams:frameType                               |                        4 |            1           1           5 | 
 | Beams:LHEF                                    |                ttbar.lhe |         void                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowLHA                            |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | Top:gg2ttbar                                  |                       on |          off                         | 
 | Top:qqbar2ttbar                               |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

       6  t                tbar               2   2   1  175.00000    1.40771   86.00000    0.00000  0.00000e+00   1   1   0   1   0
              0     1   0.0000664    0       24        1 
              1     1   0.0017360    0       24        3 
              2     1   0.9981976    0       24        5 
              3     0   0.0000000    0       37        5 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  LHA initialization information  ------------ 

  beam    kind      energy  pdfgrp  pdfset 
     A    2212     980.000       0       7
     B   -2212     980.000       0       7

  Event weighting strategy =  3

  Processes, with strategy-dependent cross section info 
  number      xsec (pb)      xerr (pb)      xmax (pb) 
      81     5.2201e+00     5.3841e-01     1.0000e+00
      82     2.6026e-01     1.0625e-01     1.0000e+00

 --------  End LHA initialization information  -------- 

 --------  LHA event information and listing  ---------------------------------------------------------------------- 

    process =       81    weight =   1.0000e+00     scale =   1.7331e+02 (GeV) 
                        alpha_em =   7.8198e-03    alpha_strong =   1.1567e-01

    Participating Particles 
    no        id stat     mothers     colours      p_x        p_y        p_z         e          m        tau    spin 
     1         2   -1     0     0   101     0      0.000      0.000    108.382    108.382      0.000   0.000   9.000
     2        -2   -1     0     0     0   102      0.000      0.000   -279.761    279.761      0.000   0.000   9.000
     3         6    2     1     2   101     0     33.629      8.912   -110.596    212.418    177.987   0.000   9.000
     4        -6    2     1     2     0   102    -33.629     -8.912    -60.783    175.725    161.166   0.000   9.000
     5        24    2     3     0     0     0    -30.885    -12.140     -4.785     86.623     79.871   0.000   9.000
     6         5    1     3     0   101     0     64.514     21.052   -105.811    125.794      4.800   0.000   9.000
     7       -24    2     4     0     0     0    -50.940     34.881    -75.292    126.217     80.315   0.000   9.000
     8        -5    1     4     0     0   102     17.311    -43.792     14.509     49.507      4.800   0.000   9.000
     9        -1    1     5     0     0   103     18.584      9.166     18.652     27.882      0.330   0.000   9.000
    10         2    1     5     0   103     0    -49.469    -21.306    -23.437     58.741      0.330   0.000   9.000
    11        13    1     7     0     0     0      9.691     39.074    -25.560     47.687      0.106   0.000   9.000
    12       -14    1     7     0     0     0    -60.632     -4.194    -49.732     78.530      0.000   0.000   9.000

     pdf: id1 =    2 id2 =   -2 x1 = 1.106e-01 x2 = 2.855e-01 scalePDF = 1.733e+02 pdf1 = 5.530e-01 pdf2 = 3.572e-01

 --------  End LHA event information and listing  ------------------------------------------------------------------ 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  9.800e+02, e =  9.800e+02, m =  9.383e-01.
 Beam B: id =  -2212, pz = -9.800e+02, e =  9.800e+02, m =  9.383e-01.

 In 1: id =    2, x =  1.106e-01, pdf =  5.530e-01 at Q2 =  3.004e+04.
 In 2: id =   -2, x =  2.855e-01, pdf =  3.572e-01 at same Q2.

 Process Les Houches User Process(es) with code 9999 is 2 -> 2.
 Subprocess user process 81 with code 81 is 2 -> 2.
 It has sHat =  1.213e+05,    tHat = -3.834e+04,    uHat = -2.529e+04,
       pTHat =  3.479e+01,   m3Hat =  1.780e+02,   m4Hat =  1.612e+02,
    thetaHat =  2.065e+00,  phiHat =  2.590e-01.
     alphaEM =  7.820e-03,  alphaS =  1.157e-01    at Q2 =  3.004e+04.

 Impact parameter b =  5.609e-01 gives enhancement factor =  2.001e+00.
 Max pT scale for MPI =  1.960e+03, ISR =  1.960e+03, FSR =  1.960e+03.
 Number of MPI =     6, ISR =    10, FSRproc =    38, FSRreson =    32.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0     4     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         2   (u)                -21     1     0     5     6   101     0      0.000      0.000    108.382    108.382      0.000
     4        -2   (ubar)             -21     2     0     5     6     0   102      0.000      0.000   -279.761    279.761      0.000
     5         6   (t)                -22     3     4     7     8   101     0     33.629      8.912   -110.596    212.418    177.987
     6        -6   (tbar)             -22     3     4     9    10     0   102    -33.629     -8.912    -60.783    175.725    161.166
     7        24   (W+)               -22     5     0    11    12     0     0    -30.885    -12.140     -4.785     86.623     79.871
     8         5   b                   23     5     0     0     0   101     0     64.514     21.052   -105.811    125.794      4.800
     9       -24   (W-)               -22     6     0    13    14     0     0    -50.940     34.881    -75.292    126.217     80.315
    10        -5   bbar                23     6     0     0     0     0   102     17.311    -43.792     14.509     49.507      4.800
    11        -1   dbar                23     7     0     0     0     0   103     18.584      9.166     18.652     27.882      0.330
    12         2   u                   23     7     0     0     0   103     0    -49.469    -21.306    -23.437     58.741      0.330
    13        13   mu-                 23     9     0     0     0     0     0      9.691     39.074    -25.560     47.687      0.106
    14       -14   nu_mubar            23     9     0     0     0     0     0    -60.632     -4.194    -49.732     78.530      0.000
                                   Charge sum:  0.000           Momentum sum:     -0.000      0.000   -171.379    388.143    348.258

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000   1960.000   1960.000
     1      2212   (p+)               -12     0     0   208     0     0     0      0.000      0.000    980.000    980.000      0.938
     2     -2212   (pbar-)            -12     0     0   209     0     0     0      0.000      0.000   -980.000    980.000      0.938
     3         2   (u)                -21     7     0     5     6   101     0      0.000      0.000    108.382    108.382      0.000
     4        -2   (ubar)             -21     8     8     5     6     0   102      0.000      0.000   -279.761    279.761      0.000
     5         6   (t)                -22     3     4     9     9   101     0     33.629      8.912   -110.596    212.418    177.987
     6        -6   (tbar)             -22     3     4    10    10     0   102    -33.629     -8.912    -60.783    175.725    161.166
     7        21   (g)                -41    12    12    11     3   101   104      0.000      0.000    374.349    374.349      0.000
     8        -2   (ubar)             -42    13     0     4     4     0   102     -0.000      0.000   -279.761    279.761      0.000
     9         6   (t)                -44     5     5    14    14   101     0     37.313      3.657   -111.094    213.136    177.987
    10        -6   (tbar)             -44     6     6    15    15     0   102    -29.470    -14.843    -59.875    175.066    161.166
    11        -2   (ubar)             -43     7     0    16    16     0   104     -7.843     11.187    265.557    265.908      0.330
    12        21   (g)                -42    18    18     7     7   101   104     -0.000      0.000    374.349    374.349      0.000
    13        -2   (ubar)             -41    19     0    17     8     0   105      0.000     -0.000   -293.514    293.514      0.000
    14         6   (t)                -44     9     9    20    20   101     0     42.821      0.472   -111.969    214.593    177.987
    15        -6   (tbar)             -44    10    10    21    21     0   102    -25.479    -17.151    -61.439    175.193    161.166
    16        -2   (ubar)             -44    11    11    22    22     0   104     -7.837     11.183    263.416    263.770      0.330
    17        21   (g)                -43    13     0    23    23   102   105     -9.505      5.497     -9.173     14.307      0.000
    18        21   (g)                -42    25     0    12    12   101   104      0.000     -0.000    374.349    374.349      0.000
    19        -2   (ubar)             -41    26    26    24    13     0   106     -0.000      0.000   -333.188    333.188      0.000
    20         6   (t)                -44    14    14    27    27   101     0     40.104      3.097   -112.490    214.362    177.987
    21        -6   (tbar)             -44    15    15    28    28     0   102    -27.448    -15.249    -61.505    175.337    161.166
    22        -2   (ubar)             -44    16    16    29    29     0   104     -7.840     11.186    263.337    263.692      0.330
    23        21   (g)                -44    17    17    30    30   102   105     -9.700      5.685     -9.061     14.440      0.000
    24        21   (g)                -43    19     0    31    31   105   106      4.884     -4.720    -39.120     39.706      0.000
    25         2   (u)                -41    39    39    32    18   101     0     -0.000     -0.000    614.980    614.980      0.000
    26        -2   (ubar)             -42    40     0    19    19     0   106     -0.000     -0.000   -333.188    333.188      0.000
    27         6   (t)                -44    20    20    41    41   101     0     40.316      3.411   -112.575    214.452    177.987
    28        -6   (tbar)             -44    21    21    42    42     0   102    -27.211    -14.899    -61.394    175.231    161.166
    29        -2   (ubar)             -44    22    22    35    35     0   104     -6.743     12.807    263.326    263.724      0.330
    30        21   (g)                -44    23    23    44    44   102   105     -9.689      5.702     -9.058     14.437      0.000
    31        21   (g)                -44    24    24    45    45   105   106      4.885     -4.718    -39.115     39.700      0.000
    32         2   (u)                -43    25     0    33    34   104     0     -1.558     -2.303    240.607    240.624      0.330
    33         2   (u)                -51    32     0    46    46   107     0      1.233     -0.732     98.520     98.531      0.330
    34        21   (g)                -51    32     0    38    38   104   107     -3.290     -0.624    161.534    161.568      0.000
    35        -2   (ubar)             -52    29    29    36    37     0   104     -6.245     11.860    243.879    244.248      0.330
    36        -2   (ubar)             -51    35     0    43    43     0   108     -5.728     10.739    206.137    206.496      0.330
    37        21   (g)                -51    35     0    48    48   108   104     -1.299      0.973     76.164     76.182      0.000
    38        21   (g)                -52    34    34    47    47   104   107     -2.507     -0.476    123.112    123.138      0.000
    39         2   (u)                -42   208   208    25    25   101     0      0.000      0.000    614.980    614.980      0.000
    40        -2   (ubar)             -41   209   209    49    26     0   109     -0.000     -0.000   -416.550    416.550      0.000
    41         6   (t)                -44    27    27   210   210   101     0     40.137      2.431   -112.611    214.424    177.987
    42        -6   (tbar)             -44    28    28    78    78     0   102    -27.341    -15.607    -61.338    175.294    161.166
    43        -2   (ubar)             -44    36    36    56    56     0   108     -5.728     10.737    206.103    206.462      0.330
    44        21   (g)                -44    30    30    57    58   102   105     -9.702      5.631     -9.070     14.426      0.000
    45        21   (g)                -44    31    31    59    59   105   106      4.842     -4.954    -39.104     39.713      0.000
    46         2   (u)                -44    33    33   108   108   107     0      1.233     -0.732     98.519     98.530      0.330
    47        21   (g)                -44    38    38    99    99   104   107     -2.507     -0.476    123.111    123.138      0.000
    48        21   (g)                -44    37    37    54    55   108   104     -1.299      0.973     76.160     76.178      0.000
    49        21   (g)                -43    40     0    68    69   106   109      0.366      1.996    -83.341     83.366      0.000
    50        21   (g)                -31    82    82    52    53   111   110      0.000      0.000     31.340     31.340      0.000
    51        21   (g)                -31    83     0    52    53   112   111      0.000      0.000     -0.349      0.349      0.000
    52        21   (g)                -33    50    51    79    80   113   110     -0.182     -1.768     28.856     28.911      0.000
    53        21   (g)                -33    50    51    81    81   112   113      0.182      1.768      2.136      2.779      0.000
    54        21   (g)                -51    48     0    97    98   114   104      0.334      2.296     52.556     52.608      0.000
    55        21   (g)                -51    48     0   100   101   108   114     -4.356      3.788    121.380    121.517      0.000
    56        -2   (ubar)             -52    43    43   102   102     0   108     -3.006      5.626    108.326    108.514      0.330
    57        21   (g)                -51    44     0    76    77   102   115     -5.711      3.785     -3.691      7.782      0.000
    58        21   (g)                -51    44     0   111   111   115   105     -3.869      1.721     -6.365      7.645      0.000
    59        21   (g)                -52    45    45    70    70   105   106      4.720     -4.829    -38.118     38.711      0.000
    60        21   (g)                -31   115   115    62    63   116   117      0.000      0.000      6.664      6.664      0.000
    61        21   (g)                -31   116     0    62    63   118   119      0.000      0.000     -5.604      5.604      0.000
    62        21   (g)                -33    60    61   117   117   116   119     -0.632     -1.534     -5.374      5.624      0.000
    63        21   (g)                -33    60    61   118   118   118   117      0.632      1.534      6.434      6.644      0.000
    64        21   (g)                -31    71    71    66    67   121   120      0.000      0.000      8.290      8.290      0.000
    65        21   (g)                -31    72     0    66    67   123   122      0.000      0.000    -13.723     13.723      0.000
    66        21   (g)                -33    64    65    73    73   123   120      0.138      1.566    -13.603     13.694      0.000
    67        21   (g)                -33    64    65    74    74   121   122     -0.138     -1.566      8.169      8.319      0.000
    68        21   (g)                -51    49     0   125   125   124   109      0.829      2.685    -68.961     69.019      0.000
    69        21   (g)                -51    49     0   123   124   106   124      0.161     -1.328    -19.423     19.468      0.000
    70        21   (g)                -52    59    59   109   110   105   106      4.096     -4.190    -33.075     33.590      0.000
    71        21   (g)                -42    88     0    64    64   121   120     -0.000      0.000      8.290      8.290      0.000
    72        21   (g)                -41    89    89    75    65   125   122      0.000     -0.000    -23.130     23.130      0.000
    73        21   (g)                -44    66    66    90    90   123   120     -0.800      2.372    -13.650     13.878      0.000
    74        21   (g)                -44    67    67    91    91   121   122     -0.143     -1.561      8.059      8.210      0.000
    75        21   (g)                -43    72     0    92    92   125   123      0.942     -0.811     -9.249      9.332      0.000
    76        21   (g)                -51    57     0   114   114   126   115     -1.626      0.014      0.014      1.626      0.000
    77        21   (g)                -51    57     0    94    95   102   126     -3.617      3.324     -3.580      6.078      0.000
    78        -6   (tbar)             -52    42    42    96    96     0   102    -27.809    -15.160    -61.464    175.372    161.166
    79        21   (g)                -51    52     0    84    84   127   110     -0.338     -1.405     29.230     29.266      0.000
    80        21   (g)                -51    52     0    86    86   113   127      0.192     -0.010      0.052      0.199      0.000
    81        21   (g)                -52    53    53    85    85   112   113      0.146      1.415      1.710      2.224      0.000
    82        21   (g)                -42   160     0    50    50   111   110      0.000     -0.000     31.340     31.340      0.000
    83        21   (g)                -41   161   161    87    51   112   128     -0.000      0.000     -1.679      1.679      0.000
    84        21   (g)                -44    79    79   147   147   127   110     -0.339     -1.349     26.129     26.166      0.000
    85        21   (g)                -44    81    81   163   163   112   113      0.121      2.231      4.418      4.951      0.000
    86        21   (g)                -44    80    80   145   146   113   127      0.185      0.223      0.200      0.352      0.000
    87        21   (g)                -43    83     0   165   165   111   128      0.033     -1.106     -1.086      1.550      0.000
    88        21   (g)                -41   263   263    93    71   121   129      0.000      0.000      9.117      9.117      0.000
    89        21   (g)                -42   264   264    72    72   125   122     -0.000      0.000    -23.130     23.130      0.000
    90        21   (g)                -44    73    73   103   104   123   120     -0.804      2.383    -13.609     13.839      0.000
    91        21   (g)                -44    74    74   266   266   121   122     -0.436     -0.756      8.213      8.259      0.000
    92        21   (g)                -44    75    75   267   267   125   123      0.941     -0.806     -9.077      9.162      0.000
    93        21   (g)                -43    88     0   105   105   120   129      0.299     -0.821      0.460      0.988      0.000
    94        21   (g)                -51    77     0   112   113   130   126     -1.955      2.831     -2.993      4.560      0.000
    95        21   (g)                -51    77     0   177   178   102   130     -1.381      0.108     -0.414      1.446      0.000
    96        -6   (tbar)             -52    78    78   179   179     0   102    -28.090    -14.775    -61.636    175.444    161.166
    97        21   (g)                -51    54     0   157   158   114   131      0.147      1.864     71.388     71.412      0.000
    98        21   (g)                -51    54     0   159   159   131   104     -0.256      0.348      2.960      2.991      0.000
    99        21   (g)                -52    47    47   106   107   104   107     -2.063     -0.392    101.321    101.343      0.000
   100        21   (g)                -51    55     0   219   219   132   114     -0.487      0.015      9.156      9.169      0.000
   101        21   (g)                -51    55     0   183   184   108   132     -4.932      5.833    151.113    151.306      0.000
   102        -2   (ubar)             -52    56    56   185   185     0   108     -1.943      3.566     69.438     69.557      0.330
   103        21   (g)                -51    90     0   265   265   123   133      0.051     -0.395     -1.576      1.625      0.000
   104        21   (g)                -51    90     0   131   131   133   120     -0.825      2.695    -11.987     12.313      0.000
   105        21   (g)                -52    93    93   129   130   120   129      0.269     -0.738      0.414      0.888      0.000
   106        21   (g)                -51    99     0   188   188   104   134     -1.644      0.008    108.024    108.036      0.000
   107        21   (g)                -51    99     0   189   190   134   107     -0.139     -0.558     14.325     14.337      0.000
   108         2   (u)                -52    46    46   191   191   107     0      0.954     -0.574     77.492     77.500      0.330
   109        21   (g)                -51    70     0   153   153   135   106      2.628     -3.204    -26.804     27.122      0.000
   110        21   (g)                -51    70     0   128   128   105   135      1.396     -0.954     -6.388      6.608      0.000
   111        21   (g)                -52    58    58   126   127   115   105     -3.798      1.689     -6.248      7.504      0.000
   112        21   (g)                -51    94     0   192   193   130   136     -1.387      1.528     -0.774      2.204      0.000
   113        21   (g)                -51    94     0   228   228   136   126     -0.955      1.307     -2.216      2.744      0.000
   114        21   (g)                -52    76    76   213   213   126   115     -1.238      0.011      0.011      1.238      0.000
   115        21   (g)                -42   203   203    60    60   116   117      0.000      0.000      6.664      6.664      0.000
   116        21   (g)                -41   254   254   119    61   137   119     -0.000     -0.000    -32.924     32.924      0.000
   117        21   (g)                -44    62    62   201   202   116   119     -0.612     -0.880     -5.467      5.571      0.000
   118        21   (g)                -44    63    63   122   122   118   117      0.632      1.547      6.502      6.714      0.000
   119        21   (g)                -43   116     0   120   121   137   118     -0.020     -0.667    -27.295     27.303      0.000
   120        21   (g)                -51   119     0   135   136   137   138      0.590     -0.389    -22.756     22.767      0.000
   121        21   (g)                -51   119     0   134   134   138   118     -0.608     -0.272     -4.514      4.562      0.000
   122        21   (g)                -52   118   118   132   133   118   117      0.630      1.540      6.477      6.687      0.000
   123        21   (g)                -51    69     0   151   152   106   139      0.148     -0.291    -22.385     22.387      0.000
   124        21   (g)                -51    69     0   140   140   139   124      0.111     -0.718     -5.217      5.267      0.000
   125        21   (g)                -52    68    68   138   139   124   109      0.731      2.366    -60.782     60.833      0.000
   126        21   (g)                -51   111     0   220   220   115   140     -0.935      0.890     -1.340      1.861      0.000
   127        21   (g)                -51   111     0   148   149   140   105     -2.793      0.751     -5.228      5.974      0.000
   128        21   (g)                -52   110   110   150   150   105   135      1.326     -0.906     -6.068      6.277      0.000
   129        21   (g)                -51   105     0   268   268   141   129      0.078     -0.011      0.550      0.556      0.000
   130        21   (g)                -51   105     0   176   176   120   141      0.149     -0.587     -0.757      0.970      0.000
   131        21   (g)                -52   104   104   174   175   133   120     -0.782      2.555    -11.366     11.676      0.000
   132        21   (g)                -51   122     0   170   170   142   117      0.916      1.484      6.349      6.585      0.000
   133        21   (g)                -51   122     0   168   169   118   142     -0.317      0.042     -0.103      0.336      0.000
   134        21   (g)                -52   121   121   137   137   138   118     -0.577     -0.258     -4.283      4.329      0.000
   135        21   (g)                -51   120     0   257   257   137   143      0.142     -0.822    -22.551     22.566      0.000
   136        21   (g)                -51   120     0   260   260   143   138      0.136      0.294     -2.524      2.545      0.000
   137        21   (g)                -52   134   134   258   258   138   118     -0.264     -0.118     -1.963      1.985      0.000
   138        21   (g)                -51   125     0   218   218   144   109      0.290      0.335    -25.520     25.524      0.000
   139        21   (g)                -51   125     0   154   155   124   144      0.458      1.923    -36.047     36.101      0.000
   140        21   (g)                -52   124   124   156   156   139   124      0.094     -0.610     -4.432      4.475      0.000
   141        21   (g)                -31   272   272   143   144   146   147      0.000      0.000     38.834     38.834      0.000
   142         1   (d)                -31   273   273   143   144   145     0      0.000      0.000     -1.266      1.266      0.000
   143        21   (g)                -33   141   142   274   274   145   147     -0.525      0.144     38.752     38.756      0.000
   144         1   (d)                -33   141   142   275   275   146     0      0.525     -0.144     -1.184      1.345      0.330
   145        21   (g)                -51    86     0   164   164   113   148      0.581      0.252      1.932      2.033      0.000
   146        21   (g)                -51    86     0   166   166   148   127     -0.447     -0.231      2.198      2.255      0.000
   147        21   (g)                -52    84    84   162   162   127   110     -0.288     -1.146     22.198     22.230      0.000
   148        21   (g)                -51   127     0   230   230   140   149     -1.933      0.831     -3.106      3.752      0.000
   149        21   (g)                -51   127     0   232   232   149   105     -0.765     -0.144     -2.554      2.670      0.000
   150        21   (g)                -52   128   128   198   199   105   135      1.232     -0.842     -5.636      5.830      0.000
   151        21   (g)                -51   123     0   221   221   150   139      0.399     -0.855    -20.791     20.813      0.000
   152        21   (g)                -51   123     0   233   233   106   150     -0.015      0.276     -3.998      4.007      0.000
   153        21   (g)                -52   109   109   200   200   135   106      2.392     -2.917    -24.400     24.690      0.000
   154        21   (g)                -51   139     0   231   231   151   144     -0.045      1.353    -29.467     29.498      0.000
   155        21   (g)                -51   139     0   234   234   124   151      0.521      0.449     -7.462      7.493      0.000
   156        21   (g)                -52   140   140   229   229   139   124      0.075     -0.489     -3.550      3.584      0.000
   157        21   (g)                -51    97     0   217   217   114   152     -0.436      0.971     40.594     40.608      0.000
   158        21   (g)                -51    97     0   182   182   152   131      0.508      0.995     31.658     31.678      0.000
   159        21   (g)                -52    98    98   180   181   131   104     -0.181      0.247      2.095      2.117      0.000
   160        21   (g)                -41   173   173   167    82   111   153     -0.000     -0.000     37.926     37.926      0.000
   161        21   (g)                -42   244   244    83    83   112   128      0.000     -0.000     -1.679      1.679      0.000
   162        21   (g)                -44   147   147   245   245   127   110     -0.021     -1.368     22.344     22.386      0.000
   163        21   (g)                -44    85    85   246   246   112   113      0.178      2.184      4.462      4.971      0.000
   164        21   (g)                -44   145   145   197   197   113   148      0.605      0.232      1.944      2.049      0.000
   165        21   (g)                -44    87    87   171   172   111   128      0.036     -1.108     -1.081      1.549      0.000
   166        21   (g)                -44   146   146   195   196   148   127     -0.420     -0.254      2.215      2.269      0.000
   167        21   (g)                -43   160     0   250   250   110   153     -0.377      0.313      6.363      6.382      0.000
   168        21   (g)                -51   133     0   259   259   118   154     -0.127      0.198     -0.184      0.298      0.000
   169        21   (g)                -51   133     0   261   261   154   142      0.018      0.183      1.528      1.539      0.000
   170        21   (g)                -52   132   132   256   256   142   117      0.707      1.146      4.902      5.084      0.000
   171        21   (g)                -51   165     0   248   248   155   128     -0.310     -1.122     -0.575      1.299      0.000
   172        21   (g)                -51   165     0   251   251   111   155      0.346      0.014     -0.298      0.457      0.000
   173        21   (g)                -53   243   243   160   160   111   153      0.000     -0.000     38.133     38.133      0.000
   174        21   (g)                -51   131     0   269   269   133   156     -0.559      0.414     -3.386      3.457      0.000
   175        21   (g)                -51   131     0   271   271   156   120     -0.205      2.072     -8.069      8.333      0.000
   176        21   (g)                -52   130   130   270   270   120   141      0.131     -0.518     -0.668      0.855      0.000
   177        21   (g)                -51    95     0   194   194   157   130     -0.359     -0.216     -0.588      0.722      0.000
   178        21   (g)                -51    95     0   236   236   102   157     -0.599      0.246      0.160      0.667      0.000
   179        -6   (tbar)             -52    96    96   211   211     0   102    -28.514    -14.697    -61.622    175.501    161.166
   180        21   (g)                -51   159     0   186   187   158   104      0.023      0.996     14.671     14.705      0.000
   181        21   (g)                -51   159     0   237   237   131   158      0.133     -0.089      8.454      8.456      0.000
   182        21   (g)                -52   158   158   235   235   152   131      0.171      0.334     10.628     10.635      0.000
   183        21   (g)                -51   101     0   225   225   159   132     -3.636      4.501    119.895    120.035      0.000
   184        21   (g)                -51   101     0   238   238   108   159     -1.811      2.452     50.997     51.088      0.000
   185        -2   (ubar)             -52   102   102   212   212     0   108     -1.427      2.446     49.659     49.740      0.330
   186        21   (g)                -51   180     0   224   224   158   160     -0.149      0.380      3.055      3.082      0.000
   187        21   (g)                -51   180     0   239   239   160   104     -0.012      0.617     23.700     23.708      0.000
   188        21   (g)                -52   106   106   216   216   104   134     -1.460      0.007     95.940     95.951      0.000
   189        21   (g)                -51   107     0   226   226   134   161     -0.154     -0.304     32.299     32.301      0.000
   190        21   (g)                -51   107     0   240   240   161   107      0.491     -0.481     18.299     18.311      0.000
   191         2   (u)                -52   108   108   215   215   107     0      0.478     -0.347     41.219     41.225      0.330
   192        21   (g)                -51   112     0   222   222   162   136     -0.433      0.461      0.105      0.641      0.000
   193        21   (g)                -51   112     0   241   241   130   162     -1.091      0.985     -1.102      1.837      0.000
   194        21   (g)                -52   177   177   223   223   157   130     -0.223     -0.134     -0.365      0.448      0.000
   195        21   (g)                -51   166     0   249   249   163   127      0.004     -0.491      1.882      1.945      0.000
   196        21   (g)                -51   166     0   252   252   148   163     -0.087      0.366      1.415      1.464      0.000
   197        21   (g)                -52   164   164   247   247   113   148      0.268      0.103      0.862      0.908      0.000
   198        21   (g)                -51   150     0   227   227   105   164      1.984     -1.378    -12.120     12.358      0.000
   199        21   (g)                -51   150     0   242   242   164   135      0.097     -0.499     -2.173      2.231      0.000
   200        21   (g)                -52   153   153   214   214   135   106      1.544     -1.882    -15.743     15.930      0.000
   201        21   (g)                -51   117     0   255   255   165   119      0.014     -0.366     -3.258      3.279      0.000
   202        21   (g)                -51   117     0   262   262   116   165     -0.627     -0.514     -2.177      2.323      0.000
   203        21   (g)                -53   253   253   115   115   116   117      0.000      0.000      6.695      6.695      0.000
   204         2   (u)                -31   276   276   206   207   166     0      0.000      0.000      2.292      2.292      0.000
   205        21   (g)                -31   277   277   206   207   167   166      0.000      0.000     -5.401      5.401      0.000
   206         2   (u)                -33   204   205   278   278   168     0     -0.255     -0.313      2.254      2.314      0.330
   207        21   (g)                -33   204   205   279   279   167   168      0.255      0.313     -5.364      5.379      0.000
   208         2   (u)                -61     1     0    39    39   121     0      0.268      1.810    614.971    614.973      0.000
   209        -2   (ubar)             -61     2     0    40    40     0   109     -3.804     -2.171   -416.540    416.563      0.000
   210         6   (t)                -62    41    41   283   284   101     0     38.665      1.728   -112.810    214.251    177.987
   211        -6   (tbar)             -62   179   179   315   316     0   102    -29.571    -15.147    -61.424    175.645    161.166
   212        -2   (ubar)             -62   185   185   392     0     0   110     -1.406      2.592     49.655     49.743      0.330
   213        21   (g)                -62   114   114   484   484   126   115     -1.243      0.009      0.017      1.243      0.000
   214        21   (g)                -62   200   200   476   476   135   167      1.399     -1.964    -15.743     15.926      0.000
   215         2   (u)                -62   191   191   395     0   107     0      0.496     -0.226     41.218     41.223      0.330
   216        21   (g)                -62   188   188   412   412   104   134     -1.419      0.290     95.945     95.956      0.000
   217        21   (g)                -62   157   157   416   416   114   152     -0.419      1.090     40.591     40.608      0.000
   218        21   (g)                -62   138   138   466   466   144   109      0.057      0.202    -25.522     25.523      0.000
   219        21   (g)                -62   100   100   417   417   132   114     -0.483      0.042      9.158      9.171      0.000
   220        21   (g)                -62   126   126   483   483   115   140     -0.950      0.883     -1.339      1.864      0.000
   221        21   (g)                -62   151   151   471   471   150   139      0.209     -0.963    -20.789     20.813      0.000
   222        21   (g)                -62   192   192   486   486   162   136     -0.435      0.461      0.105      0.643      0.000
   223        21   (g)                -62   194   194   488   488   157   130     -0.226     -0.136     -0.363      0.449      0.000
   224        21   (g)                -62   186   186   414   414   158   160     -0.148      0.389      3.054      3.082      0.000
   225        21   (g)                -62   183   183   418   418   159   132     -3.584      4.853    119.893    120.044      0.000
   226        21   (g)                -62   189   189   411   411   134   145     -0.140     -0.209     32.300     32.301      0.000
   227        21   (g)                -62   198   198   478   478   105   164      1.872     -1.441    -12.123     12.352      0.000
   228        21   (g)                -62   113   113   485   485   136   126     -0.978      1.294     -2.216      2.747      0.000
   229        21   (g)                -62   156   156   398     0   139   123      0.043     -0.507     -3.548      3.584      0.000
   230        21   (g)                -62   148   148   482   482   140   138     -1.964      0.814     -3.100      3.759      0.000
   231        21   (g)                -62   154   154   467   467   151   144     -0.314      1.199    -29.472     29.498      0.000
   232        21   (g)                -62   149   149   401     0   149   116     -0.789     -0.158     -2.549      2.674      0.000
   233        21   (g)                -62   152   152   400     0   106   150     -0.051      0.255     -3.999      4.007      0.000
   234        21   (g)                -62   155   155   404     0   124   151      0.453      0.410     -7.466      7.491      0.000
   235        21   (g)                -62   182   182   394     0   152   131      0.175      0.365     10.626     10.633      0.000
   236        21   (g)                -62   178   178   489   489   102   157     -0.601      0.246      0.162      0.670      0.000
   237        21   (g)                -62   181   181   394     0   131   158      0.137     -0.064      8.454      8.455      0.000
   238        21   (g)                -62   184   184   393     0   108   159     -1.790      2.602     50.995     51.092      0.000
   239        21   (g)                -62   187   187   413   413   160   104     -0.002      0.687     23.697     23.707      0.000
   240        21   (g)                -62   190   190   395     0   161   107      0.499     -0.427     18.298     18.310      0.000
   241        21   (g)                -62   193   193   399     0   130   118     -1.104      0.978     -1.101      1.840      0.000
   242        21   (g)                -62   199   199   477   477   164   135      0.077     -0.510     -2.171      2.231      0.000
   243        21   (g)                -61     1     0   173   173   128   128      1.178      0.503     38.201     38.222      0.000
   244        21   (g)                -61     2     0   161   161   153   153      2.710      0.526     -0.613      2.828      0.000
   245        21   (g)                -62   162   162   409   409   127   161      0.695     -1.069     22.179     22.216      0.000
   246        21   (g)                -62   163   163   543   543   112   111      0.751      2.332      5.092      5.651      0.000
   247        21   (g)                -62   197   197   387     0   113   154      0.340      0.125      1.103      1.161      0.000
   248        21   (g)                -62   171   171   545   545   155   101      1.199     -0.829     -0.388      1.509      0.000
   249        21   (g)                -62   195   195   539   539   163   141      0.111     -0.457      1.836      1.895      0.000
   250        21   (g)                -62   167   167   392     0   110   108     -0.172      0.397      6.132      6.147      0.000
   251        21   (g)                -62   172   172   544   544   111   155      0.967      0.137      0.215      1.000      0.000
   252        21   (g)                -62   196   196   542   542   148   112     -0.003      0.393      1.419      1.472      0.000
   253        21   (g)                -61     1     0   203   203   119   119     -2.627      0.474      6.485      7.013      0.000
   254        21   (g)                -61     2     0   116   116   117   117     -2.473      0.247    -33.105     33.198      0.000
   255        21   (g)                -62   201   201   403     0   165   137     -0.234     -0.341     -3.263      3.289      0.000
   256        21   (g)                -62   170   170   389     0   142   148     -1.251      1.499      4.820      5.201      0.000
   257        21   (g)                -62   135   135   469   469   137   125     -1.552     -0.653    -22.627     22.689      0.000
   258        21   (g)                -62   137   137   401     0   138   149     -0.421     -0.102     -2.013      2.059      0.000
   259        21   (g)                -62   168   168   399     0   118   162     -0.169      0.204     -0.214      0.340      0.000
   260        21   (g)                -62   136   136   400     0   143   106     -0.057      0.313     -2.526      2.546      0.000
   261        21   (g)                -62   169   169   389     0   154   142     -0.584      0.292      1.477      1.615      0.000
   262        21   (g)                -62   202   202   480   480   116   120     -0.832     -0.491     -2.275      2.472      0.000
   263        21   (g)                -61     1     0    88    88   122   122      0.090      0.370      9.102      9.110      0.000
   264        21   (g)                -61     2     0    89    89   129   129     -0.774      1.691    -23.154     23.228      0.000
   265        21   (g)                -62   103   103   398     0   123   165     -0.002     -0.277     -1.585      1.609      0.000
   266        21   (g)                -62    91    91   538   538   121   163     -0.356     -0.421      8.196      8.214      0.000
   267        21   (g)                -62    92    92   404     0   125   124      0.636     -0.139     -9.120      9.143      0.000
   268        21   (g)                -62   129   129   387     0   141   113      0.083      0.011      0.548      0.554      0.000
   269        21   (g)                -62   174   174   474   474   133   156     -0.673      0.666     -3.371      3.501      0.000
   270        21   (g)                -62   176   176   479   479   120   105      0.107     -0.459     -0.680      0.827      0.000
   271        21   (g)                -62   175   175   473   473   156   143     -0.479      2.680     -8.040      8.488      0.000
   272        21   (g)                -61     1     0   141   141   146   147      0.942     -1.538     39.347     39.388      0.000
   273         1   (d)                -61     2     0   142   142   147     0      1.363     -0.623     -0.838      1.717      0.000
   274        21   (g)                -62   143   143   410   410   145   127      0.409     -1.380     38.955     38.981      0.000
   275         1   (d)                -62   144   144   554   554   146     0      1.896     -0.781     -0.446      2.124      0.330
   276         2   (u)                -61     1     0   204   204   147     0     -0.403     -0.777      2.197      2.365      0.000
   277        21   (g)                -61     2     0   205   205   109   147      0.719      0.085     -5.324      5.373      0.000
   278         2   (u)                -62   206   206   465   465   109     0     -0.646     -1.084      2.065      2.442      0.330
   279        21   (g)                -62   207   207   475   475   167   133      0.961      0.392     -5.193      5.295      0.000
   280         1   (d)                -63     1     0   555   555   170     0      0.552     -0.841    267.637    267.639      0.330
   281     -2101   (ud_0bar)          -63     2     0   405   407   171     0      0.677     -0.359   -412.730    412.731      0.579
   282        -1   (dbar)             -63     2     0   405   407     0   171      1.582      0.605    -85.636     85.653      0.330
   283        24   (W+)               -22   210     0   287   287     0     0    -28.842    -15.054     -5.683     86.430     79.871
   284         5   (b)                -23   210     0   285   286   101     0     67.507     16.782   -107.127    127.820      4.800
   285         5   (b)                -51   284     0   288   289   176     0     55.173      8.461    -86.955    103.440      4.800
   286        21   (g)                -51   284     0   290   290   101   176     11.901      8.159    -19.838     24.530      0.000
   287        24   (W+)               -56   283   283   335   336     0     0    -28.408    -14.892     -6.017     86.281     79.871
   288         5   (b)                -51   285     0   311   311   178     0     39.850      6.120    -59.421     71.968      4.800
   289        21   (g)                -51   285     0   291   292   176   178     17.251      3.663    -30.749     35.447      0.000
   290        21   (g)                -52   286   286   293   293   101   176      9.972      6.836    -16.623     20.554      0.000
   291        21   (g)                -51   289     0   294   295   179   178      1.097      1.134     -4.915      5.162      0.000
   292        21   (g)                -51   289     0   296   296   176   179     22.107      6.611    -35.757     42.556      0.000
   293        21   (g)                -52   290   290   303   304   101   176      4.019      2.755     -6.699      8.284      0.000
   294        21   (g)                -51   291     0   552   552   180   178      0.075      0.010      0.101      0.126      0.000
   295        21   (g)                -51   291     0   299   299   179   180      5.789      2.549    -12.727     14.212      0.000
   296        21   (g)                -52   292   292   297   298   176   179     17.340      5.185    -28.047     33.380      0.000
   297        21   (g)                -51   296     0   305   305   176   181      9.340      3.652    -17.195     19.906      0.000
   298        21   (g)                -51   296     0   300   301   181   179     10.362      2.573    -16.042     19.270      0.000
   299        21   (g)                -52   295   295   302   302   179   180      3.428      1.509     -7.537      8.416      0.000
   300        21   (g)                -51   298     0   306   307   181   182     11.378      2.878    -18.882     22.232      0.000
   301        21   (g)                -51   298     0   308   308   182   179      0.694      0.448     -0.919      1.236      0.000
   302        21   (g)                -52   299   299   390     0   179   180      1.718      0.756     -3.777      4.218      0.000
   303        21   (g)                -51   293     0   309   310   101   183      2.859      1.658     -4.030      5.212      0.000
   304        21   (g)                -51   293     0   388     0   183   176      3.848      2.148     -7.619      8.802      0.000
   305        21   (g)                -52   297   297   391     0   176   181      6.651      2.601    -12.245     14.175      0.000
   306        21   (g)                -51   300     0   391     0   181   184      6.181      1.845    -11.017     12.766      0.000
   307        21   (g)                -51   300     0   550   550   184   182      5.488      1.220     -8.250      9.984      0.000
   308        21   (g)                -52   301   301   390     0   182   179      0.403      0.260     -0.534      0.718      0.000
   309        21   (g)                -51   303     0   388     0   185   183      1.774      0.998     -3.283      3.863      0.000
   310        21   (g)                -51   303     0   312   313   101   185      2.191      0.750     -2.411      3.343      0.000
   311         5   (b)                -52   288   288   314   314   178     0     38.745      6.031    -57.757     69.975      4.800
   312        21   (g)                -51   310     0   547   547   186   185      1.764      0.614     -1.994      2.732      0.000
   313        21   (g)                -51   310     0   546   546   101   186      3.292      0.392     -5.085      6.070      0.000
   314         5   (b)                -52   311   311   553   553   178     0     35.879      5.774    -53.089     64.515      4.800
   315       -24   (W-)               -22   211     0   319   319     0     0    -48.049     30.437    -75.748    124.191     80.315
   316        -5   (bbar)             -23   211     0   317   318     0   102     18.477    -45.584     14.324     51.454      4.800
   317        -5   (bbar)             -51   316     0   322   322     0   187     13.526    -24.214      8.561     29.421      4.800
   318        21   (g)                -51   316     0   320   321   187   102      4.736    -21.154      5.460     22.355      0.000
   319       -24   (W-)               -56   315   315   325   325     0     0    -47.834     30.220    -75.444    123.869     80.315
   320        21   (g)                -51   318     0   326   327   187   190      3.913    -15.306      4.402     16.401      0.000
   321        21   (g)                -51   318     0   329   330   190   102      1.032     -6.050      1.156      6.245      0.000
   322        -5   (bbar)             -52   317   317   323   324     0   187     13.318    -24.012      8.462     29.130      4.800
   323        -5   (bbar)             -51   322     0   328   328     0   187     12.974    -24.026      8.403     28.970      4.800
   324        22   gamma               51   322     0     0     0     0     0      0.260      0.091     -0.054      0.281      0.000
   325       -24   (W-)               -56   319   319   385   386     0     0    -47.750     30.144    -75.331    123.749     80.315
   326        21   (g)                -51   320     0   334   334   191   190      3.603    -12.228      3.325     13.175      0.000
   327        21   (g)                -51   320     0   332   333   187   191      0.523     -3.227      1.158      3.468      0.000
   328        -5   (bbar)             -52   323   323   331   331     0   187     12.760    -23.878      8.322     28.727      4.800
   329        21   (g)                -51   321     0   491   491   190   192      0.316     -2.753      0.886      2.909      0.000
   330        21   (g)                -51   321     0   490   490   192   102      1.023     -3.646      0.445      3.813      0.000
   331        -5   (bbar)             -52   328   328   494   494     0   187     12.453    -23.528      8.148     28.250      4.800
   332        21   (g)                -51   327     0   493   493   187   193      0.136     -1.546      0.336      1.588      0.000
   333        21   (g)                -51   327     0   402     0   193   191      2.777     -9.791      3.028     10.618      0.000
   334        21   (g)                -52   326   326   402     0   191   190      1.214     -4.119      1.120      4.437      0.000
   335        -1   (dbar)             -23   287     0   339   339     0   103     19.383      8.278     18.255     27.885      0.330
   336         2   (u)                -23   287     0   337   338   103     0    -47.791    -23.170    -24.272     58.396      0.330
   337         2   (u)                -51   336     0   354   354   194     0    -45.384    -15.348    -26.860     54.925      0.330
   338        21   (g)                -51   336     0   342   342   103   194      1.304     -6.237      6.083      8.809      0.000
   339        -1   (dbar)             -52   335   335   340   341     0   103     15.672      6.693     14.759     22.547      0.330
   340        -1   (dbar)             -51   339     0   349   350     0   195     11.130      4.945     13.612     18.268      0.330
   341        21   (g)                -51   339     0   345   345   195   103      4.664      1.163      1.718      5.105      0.000
   342        21   (g)                -52   338   338   343   344   103   194      1.182     -5.652      5.512      7.983      0.000
   343        21   (g)                -51   342     0   352   353   196   194     -0.465     -2.776      3.021      4.129      0.000
   344        21   (g)                -51   342     0   348   348   103   196      2.139     -2.753      2.673      4.393      0.000
   345        21   (g)                -52   341   341   346   347   195   103      4.172      1.040      1.536      4.566      0.000
   346        21   (g)                -51   345     0   351   351   195   197      4.134      0.912      1.237      4.411      0.000
   347        21   (g)                -51   345     0   370   371   197   103      0.613     -0.612      1.017      1.336      0.000
   348        21   (g)                -52   344   344   361   362   103   196      1.564     -2.014      1.955      3.213      0.000
   349        -1   (dbar)             -51   340     0   447   447     0   198      9.652      3.475     10.587     14.746      0.330
   350        21   (g)                -51   340     0   355   356   198   195      1.995      1.585      3.180      4.075      0.000
   351        21   (g)                -52   346   346   357   357   195   197      3.616      0.798      1.082      3.858      0.000
   352        21   (g)                -51   343     0   363   363   196   199     -1.272     -2.367      3.055      4.069      0.000
   353        21   (g)                -51   343     0   358   359   199   194      0.241     -0.600     -0.370      0.745      0.000
   354         2   (u)                -52   337   337   360   360   194     0    -44.817    -15.156    -26.525     54.240      0.330
   355        21   (g)                -51   350     0   366   366   198   200      1.284      0.039      0.383      1.340      0.000
   356        21   (g)                -51   350     0   364   365   200   195      2.287      1.893      3.268      4.415      0.000
   357        21   (g)                -52   351   351   372   372   195   197      2.040      0.450      0.611      2.177      0.000
   358        21   (g)                -51   353     0   369   369   199   201     -1.272     -1.179     -0.660      1.856      0.000
   359        21   (g)                -51   353     0   373   374   201   194      0.138      0.114     -0.523      0.553      0.000
   360         2   (u)                -52   354   354   375   375   194     0    -43.442    -14.691    -25.711     52.576      0.330
   361        21   (g)                -51   348     0   440   440   103   202      0.074     -1.411      1.534      2.086      0.000
   362        21   (g)                -51   348     0   378   378   202   196      1.239     -1.070      1.025      1.931      0.000
   363        21   (g)                -52   352   352   367   368   196   199     -1.021     -1.899      2.451      3.264      0.000
   364        21   (g)                -51   356     0   444   444   203   195      1.127      0.999      0.800      1.706      0.000
   365        21   (g)                -51   356     0   445   445   200   203      1.653      0.909      2.615      3.224      0.000
   366        21   (g)                -52   355   355   446   446   198   200      0.791      0.024      0.236      0.826      0.000
   367        21   (g)                -51   363     0   376   377   196   204     -1.303     -2.196      2.420      3.519      0.000
   368        21   (g)                -51   363     0   436   436   204   199      0.025      0.059     -0.103      0.121      0.000
   369        21   (g)                -52   358   358   384   384   199   201     -1.015     -0.941     -0.526      1.480      0.000
   370        21   (g)                -51   347     0   441   441   205   103      1.182     -0.699      0.850      1.615      0.000
   371        21   (g)                -51   347     0   442   442   197   205      0.128      0.241      0.376      0.465      0.000
   372        21   (g)                -52   357   357   443   443   195   197      1.342      0.296      0.402      1.432      0.000
   373        21   (g)                -51   359     0   382   383   201   206     -0.423     -0.107     -1.183      1.261      0.000
   374        21   (g)                -51   359     0   379   380   206   194     -0.315     -0.076      0.141      0.353      0.000
   375         2   (u)                -52   360   360   381   381   194     0    -42.566    -14.395    -25.192     51.515      0.330
   376        21   (g)                -51   367     0   437   437   207   204     -0.871     -2.006      1.565      2.690      0.000
   377        21   (g)                -51   367     0   438   438   196   207     -0.276     -0.325      0.985      1.073      0.000
   378        21   (g)                -52   362   362   439   439   202   196      1.082     -0.935      0.895      1.687      0.000
   379        21   (g)                -51   374     0   396     0   206   209     -0.014      0.034     -0.210      0.213      0.000
   380        21   (g)                -51   374     0   433   433   209   194     -2.965     -1.010     -1.226      3.364      0.000
   381         2   (u)                -52   375   375   432   432   194     0    -39.902    -13.494    -23.615     48.291      0.330
   382        21   (g)                -51   373     0   396     0   210   206     -0.085     -0.358     -0.881      0.955      0.000
   383        21   (g)                -51   373     0   397     0   201   210     -0.814     -0.189     -0.548      1.000      0.000
   384        21   (g)                -52   369   369   397     0   199   201     -0.539     -0.500     -0.280      0.786      0.000
   385        13   mu-                 23   325     0     0     0     0     0     10.894     37.289    -25.575     46.511      0.106
   386       -14   nu_mubar            23   325     0     0     0     0     0    -58.643     -7.146    -49.756     77.238      0.000
   387        21   (g)                -73   247   268   540   540   141   154      0.423      0.136      1.651      1.715      0.138
   388        21   (g)                -73   304   309   548   548   185   176      5.622      3.146    -10.902     12.665      0.179
   389        21   (g)                -73   256   261   541   541   154   148     -1.835      1.790      6.297      6.815      0.471
   390        21   (g)                -73   302   308   551   551   182   180      2.122      1.017     -4.312      4.936      0.493
   391        21   (g)                -73   305   306   549   549   176   184     12.832      4.446    -23.262     26.941      0.561
   392        -2   (ubar)             -73   212   250   393     0     0   108     -1.579      2.989     55.786     55.890      0.412
   393        -2   (ubar)             -73   238   392   419   419     0   159     -3.368      5.591    106.781    106.983      0.689
   394        21   (g)                -73   235   237   415   415   152   158      0.312      0.301     19.079     19.088      0.397
   395         2   (u)                -73   215   240   408   408   161     0      0.994     -0.653     59.516     59.532      0.756
   396        21   (g)                -73   379   382   434   434   210   209     -0.098     -0.324     -1.091      1.168      0.243
   397        21   (g)                -73   383   384   435   435   199   210     -1.353     -0.689     -0.828      1.786      0.446
   398        21   (g)                -73   229   265   403     0   139   165      0.041     -0.785     -5.133      5.193      0.081
   399        21   (g)                -73   241   259   487   487   130   162     -1.273      1.182     -1.315      2.181      0.099
   400        21   (g)                -73   233   260   472   472   143   150     -0.109      0.569     -6.525      6.553      0.192
   401        21   (g)                -73   232   258   481   481   138   116     -1.210     -0.260     -4.562      4.732      0.222
   402        21   (g)                -73   333   334   492   492   193   190      3.990    -13.909      4.147     15.055      0.243
   403        21   (g)                -73   255   398   470   470   139   137     -0.193     -1.125     -8.396      8.482      0.395
   404        21   (g)                -73   234   267   468   468   125   151      1.089      0.270    -16.586     16.634      0.584
   405     -2212   pbar-               83   281   282     0     0     0     0      0.855     -0.289   -334.724    334.727      0.938
   406       211   pi+                 83   281   282     0     0     0     0      0.755      0.016    -26.167     26.178      0.140
   407       223   (omega)            -84   281   282   663   665     0     0      0.650      0.518   -137.474    137.479      0.778
   408         2   (u)                -71   395   395   420   431   161     0      0.994     -0.653     59.516     59.532      0.756
   409        21   (g)                -71   245   245   420   431   127   161      0.695     -1.069     22.179     22.216      0.000
   410        21   (g)                -71   274   274   420   431   145   127      0.409     -1.380     38.955     38.981      0.000
   411        21   (g)                -71   226   226   420   431   134   145     -0.140     -0.209     32.300     32.301      0.000
   412        21   (g)                -71   216   216   420   431   104   134     -1.419      0.290     95.945     95.956      0.000
   413        21   (g)                -71   239   239   420   431   160   104     -0.002      0.687     23.697     23.707      0.000
   414        21   (g)                -71   224   224   420   431   158   160     -0.148      0.389      3.054      3.082      0.000
   415        21   (g)                -71   394   394   420   431   152   158      0.312      0.301     19.079     19.088      0.397
   416        21   (g)                -71   217   217   420   431   114   152     -0.419      1.090     40.591     40.608      0.000
   417        21   (g)                -71   219   219   420   431   132   114     -0.483      0.042      9.158      9.171      0.000
   418        21   (g)                -71   225   225   420   431   159   132     -3.584      4.853    119.893    120.044      0.000
   419        -2   (ubar)             -71   393   393   420   431     0   159     -3.368      5.591    106.781    106.983      0.689
   420       211   pi+                 83   408   419     0     0     0     0      0.173     -0.689     12.520     12.541      0.140
   421       221   (eta)              -83   408   419   666   667     0     0      0.945     -1.582     68.448     68.475      0.548
   422       221   (eta)              -83   408   419   668   669     0     0      0.735     -0.074     57.264     57.272      0.548
   423      -211   pi-                 83   408   419     0     0     0     0      0.146     -1.096     20.205     20.236      0.140
   424       211   pi+                 84   408   419     0     0     0     0     -0.852      0.575     41.480     41.493      0.140
   425      -213   (rho-)             -84   408   419   583   584     0     0     -0.016      0.450     36.838     36.850      0.815
   426       321   K+                  84   408   419     0     0     0     0     -0.154      0.681     36.347     36.357      0.494
   427      -321   K-                  84   408   419     0     0     0     0     -0.501      0.335     31.695     31.705      0.494
   428       221   (eta)              -84   408   419   670   672     0     0     -0.375      0.078     12.436     12.454      0.548
   429       113   (rho0)             -84   408   419   585   586     0     0     -1.770      2.734     68.392     68.474      0.805
   430       113   (rho0)             -84   408   419   587   588     0     0     -1.261      2.472     50.579     50.661      0.791
   431       113   (rho0)             -84   408   419   589   590     0     0     -4.221      6.049    134.944    135.153      1.440
   432         2   (u)                -71   381   381   448   464   194     0    -39.902    -13.494    -23.615     48.291      0.330
   433        21   (g)                -71   380   380   448   464   209   194     -2.965     -1.010     -1.226      3.364      0.000
   434        21   (g)                -71   396   396   448   464   210   209     -0.098     -0.324     -1.091      1.168      0.243
   435        21   (g)                -71   397   397   448   464   199   210     -1.353     -0.689     -0.828      1.786      0.446
   436        21   (g)                -71   368   368   448   464   204   199      0.025      0.059     -0.103      0.121      0.000
   437        21   (g)                -71   376   376   448   464   207   204     -0.871     -2.006      1.565      2.690      0.000
   438        21   (g)                -71   377   377   448   464   196   207     -0.276     -0.325      0.985      1.073      0.000
   439        21   (g)                -71   378   378   448   464   202   196      1.082     -0.935      0.895      1.687      0.000
   440        21   (g)                -71   361   361   448   464   103   202      0.074     -1.411      1.534      2.086      0.000
   441        21   (g)                -71   370   370   448   464   205   103      1.182     -0.699      0.850      1.615      0.000
   442        21   (g)                -71   371   371   448   464   197   205      0.128      0.241      0.376      0.465      0.000
   443        21   (g)                -71   372   372   448   464   195   197      1.342      0.296      0.402      1.432      0.000
   444        21   (g)                -71   364   364   448   464   203   195      1.127      0.999      0.800      1.706      0.000
   445        21   (g)                -71   365   365   448   464   200   203      1.653      0.909      2.615      3.224      0.000
   446        21   (g)                -71   366   366   448   464   198   200      0.791      0.024      0.236      0.826      0.000
   447        -1   (dbar)             -71   349   349   448   464     0   198      9.652      3.475     10.587     14.746      0.330
   448       321   K+                  83   432   447     0     0     0     0     -6.353     -2.090     -3.774      7.695      0.494
   449       333   (phi)              -83   432   447   673   674     0     0    -31.008    -10.249    -18.203     37.402      1.015
   450      -321   K-                  83   432   447     0     0     0     0     -1.430     -0.747     -0.910      1.917      0.494
   451       113   (rho0)             -83   432   447   591   592     0     0     -3.386     -1.318     -1.950      4.184      0.709
   452       213   (rho+)             -83   432   447   593   594     0     0     -1.386     -0.834     -0.957      2.008      0.708
   453       221   (eta)              -83   432   447   675   676     0     0      0.047      0.280     -0.200      0.648      0.548
   454      -213   (rho-)             -83   432   447   595   596     0     0     -1.276     -1.544     -0.081      2.127      0.710
   455       323   (K*+)              -84   432   447   597   598     0     0     -0.535     -1.150      1.244      1.991      0.898
   456      -323   (K*-)              -84   432   447   599   600     0     0      1.699     -0.968      1.798      2.823      0.955
   457       211   pi+                 84   432   447     0     0     0     0     -0.034     -0.750      0.787      1.097      0.140
   458      -211   pi-                 84   432   447     0     0     0     0      0.208     -0.970      0.988      1.407      0.140
   459       321   K+                  84   432   447     0     0     0     0      0.961      0.512      0.581      1.329      0.494
   460      3122   (Lambda0)          -84   432   447   677   678     0     0      1.305     -0.033      1.637      2.372      1.116
   461     -2112   nbar0               84   432   447     0     0     0     0      2.601      0.591      1.781      3.342      0.940
   462       113   (rho0)             -84   432   447   601   602     0     0      5.705      3.189      6.292      9.110      0.827
   463      -211   pi-                 84   432   447     0     0     0     0      1.908      0.199      1.672      2.549      0.140
   464       211   pi+                 84   432   447     0     0     0     0      2.565      0.991      3.277      4.280      0.140
   465         2   (u)                -71   278   278   495   537   109     0     -0.646     -1.084      2.065      2.442      0.330
   466        21   (g)                -71   218   218   495   537   144   109      0.057      0.202    -25.522     25.523      0.000
   467        21   (g)                -71   231   231   495   537   151   144     -0.314      1.199    -29.472     29.498      0.000
   468        21   (g)                -71   404   404   495   537   125   151      1.089      0.270    -16.586     16.634      0.584
   469        21   (g)                -71   257   257   495   537   137   125     -1.552     -0.653    -22.627     22.689      0.000
   470        21   (g)                -71   403   403   495   537   139   137     -0.193     -1.125     -8.396      8.482      0.395
   471        21   (g)                -71   221   221   495   537   150   139      0.209     -0.963    -20.789     20.813      0.000
   472        21   (g)                -71   400   400   495   537   143   150     -0.109      0.569     -6.525      6.553      0.192
   473        21   (g)                -71   271   271   495   537   156   143     -0.479      2.680     -8.040      8.488      0.000
   474        21   (g)                -71   269   269   495   537   133   156     -0.673      0.666     -3.371      3.501      0.000
   475        21   (g)                -71   279   279   495   537   167   133      0.961      0.392     -5.193      5.295      0.000
   476        21   (g)                -71   214   214   495   537   135   167      1.399     -1.964    -15.743     15.926      0.000
   477        21   (g)                -71   242   242   495   537   164   135      0.077     -0.510     -2.171      2.231      0.000
   478        21   (g)                -71   227   227   495   537   105   164      1.872     -1.441    -12.123     12.352      0.000
   479        21   (g)                -71   270   270   495   537   120   105      0.107     -0.459     -0.680      0.827      0.000
   480        21   (g)                -71   262   262   495   537   116   120     -0.832     -0.491     -2.275      2.472      0.000
   481        21   (g)                -71   401   401   495   537   138   116     -1.210     -0.260     -4.562      4.732      0.222
   482        21   (g)                -71   230   230   495   537   140   138     -1.964      0.814     -3.100      3.759      0.000
   483        21   (g)                -71   220   220   495   537   115   140     -0.950      0.883     -1.339      1.864      0.000
   484        21   (g)                -71   213   213   495   537   126   115     -1.243      0.009      0.017      1.243      0.000
   485        21   (g)                -71   228   228   495   537   136   126     -0.978      1.294     -2.216      2.747      0.000
   486        21   (g)                -71   222   222   495   537   162   136     -0.435      0.461      0.105      0.643      0.000
   487        21   (g)                -71   399   399   495   537   130   162     -1.273      1.182     -1.315      2.181      0.099
   488        21   (g)                -71   223   223   495   537   157   130     -0.226     -0.136     -0.363      0.449      0.000
   489        21   (g)                -71   236   236   495   537   102   157     -0.601      0.246      0.162      0.670      0.000
   490        21   (g)                -71   330   330   495   537   192   102      1.023     -3.646      0.445      3.813      0.000
   491        21   (g)                -71   329   329   495   537   190   192      0.316     -2.753      0.886      2.909      0.000
   492        21   (g)                -71   402   402   495   537   193   190      3.990    -13.909      4.147     15.055      0.243
   493        21   (g)                -71   332   332   495   537   187   193      0.136     -1.546      0.336      1.588      0.000
   494        -5   (bbar)             -71   331   331   495   537     0   187     12.453    -23.528      8.148     28.250      4.800
   495       211   pi+                 83   465   494     0     0     0     0     -0.045     -0.331      0.508      0.623      0.140
   496      -211   pi-                 83   465   494     0     0     0     0     -0.437     -0.017      0.082      0.466      0.140
   497       223   (omega)            -83   465   494   679   681     0     0      0.105     -0.390      0.000      0.881      0.783
   498       321   K+                  83   465   494     0     0     0     0      0.093      0.135     -0.332      0.617      0.494
   499      -323   (K*-)              -83   465   494   603   604     0     0     -0.342     -0.338      0.234      1.144      1.011
   500       211   pi+                 83   465   494     0     0     0     0     -0.114     -0.280     -0.897      0.957      0.140
   501       221   (eta)              -83   465   494   682   684     0     0      0.303     -0.188     -2.205      2.300      0.548
   502      -211   pi-                 83   465   494     0     0     0     0     -0.110      0.132     -0.204      0.301      0.140
   503       211   pi+                 83   465   494     0     0     0     0     -0.006      0.919    -21.741     21.761      0.140
   504       223   (omega)            -83   465   494   685   687     0     0      0.354     -0.031     -7.670      7.718      0.784
   505       111   (pi0)              -83   465   494   688   689     0     0     -0.044      0.057     -5.103      5.105      0.135
   506      -213   (rho-)             -83   465   494   605   606     0     0     -0.631     -0.080    -22.414     22.443      0.943
   507       113   (rho0)             -83   465   494   607   608     0     0     -0.066      0.389    -10.996     11.045      0.962
   508       113   (rho0)             -83   465   494   609   610     0     0      0.034     -0.549    -11.752     11.787      0.727
   509       213   (rho+)             -83   465   494   611   612     0     0      0.214     -0.276    -16.918     16.942      0.846
   510      -211   pi-                 83   465   494     0     0     0     0     -0.524     -0.071     -4.788      4.819      0.140
   511       113   (rho0)             -83   465   494   613   614     0     0     -0.511     -0.837    -17.701     17.762      1.096
   512       113   (rho0)             -83   465   494   615   616     0     0      0.321      1.084     -4.888      5.076      0.769
   513       213   (rho+)             -83   465   494   617   618     0     0     -0.191      1.033     -8.154      8.273      0.923
   514       313   (K*0)              -83   465   494   619   620     0     0     -0.583      1.833     -8.115      8.385      0.874
   515      -313   (K*bar0)           -83   465   494   621   622     0     0      1.411     -1.977    -12.321     12.589      0.875
   516       111   (pi0)              -83   465   494   690   691     0     0      0.789     -0.285     -4.039      4.127      0.135
   517      -211   pi-                 83   465   494     0     0     0     0      0.245      0.166     -1.469      1.505      0.140
   518       211   pi+                 83   465   494     0     0     0     0      0.223     -1.257     -6.309      6.439      0.140
   519      -213   (rho-)             -83   465   494   623   624     0     0      0.663     -0.763     -6.952      7.117      1.143
   520       113   (rho0)             -84   465   494   625   626     0     0     -0.286     -0.363     -4.032      4.128      0.754
   521       211   pi+                 84   465   494     0     0     0     0     -0.214      0.142     -0.048      0.296      0.140
   522      2112   n0                  84   465   494     0     0     0     0     -1.231     -0.159     -3.208      3.566      0.940
   523     -2212   pbar-               84   465   494     0     0     0     0     -0.715      0.315     -1.930      2.284      0.938
   524       211   pi+                 84   465   494     0     0     0     0     -1.663     -0.018     -1.897      2.527      0.140
   525       111   (pi0)              -84   465   494   692   693     0     0      0.042      0.052     -0.177      0.233      0.135
   526      -211   pi-                 84   465   494     0     0     0     0     -0.783      0.684     -0.963      1.425      0.140
   527       111   (pi0)              -84   465   494   694   695     0     0     -0.576      0.361     -0.910      1.144      0.135
   528       223   (omega)            -84   465   494   696   698     0     0     -1.000      0.699     -0.575      1.558      0.781
   529      2114   (Delta0)           -84   465   494   627   628     0     0     -1.238      1.199     -1.534      2.642      1.288
   530       211   pi+                 84   465   494     0     0     0     0     -0.418      0.549     -0.062      0.706      0.140
   531     -2212   pbar-               84   465   494     0     0     0     0     -0.096     -0.343     -0.364      1.067      0.938
   532       213   (rho+)             -84   465   494   629   630     0     0     -0.349     -0.719     -0.018      1.081      0.727
   533      2212   p+                  84   465   494     0     0     0     0     -0.078     -0.928     -0.131      1.329      0.938
   534      -213   (rho-)             -84   465   494   631   632     0     0      1.533     -5.550      1.796      6.102      0.922
   535     -2214   (Deltabar-)        -84   465   494   633   634     0     0      1.601     -5.352      1.560      5.930      1.238
   536       223   (omega)            -84   465   494   699   701     0     0      2.084     -7.072      2.233      7.743      0.787
   537       523   (B*+)              -84   465   494   702   703     0     0     12.248    -25.175      8.307     29.684      5.325
   538        21   (g)                -71   266   266   556   582   121   163     -0.356     -0.421      8.196      8.214      0.000
   539        21   (g)                -71   249   249   556   582   163   141      0.111     -0.457      1.836      1.895      0.000
   540        21   (g)                -71   387   387   556   582   141   154      0.423      0.136      1.651      1.715      0.138
   541        21   (g)                -71   389   389   556   582   154   148     -1.835      1.790      6.297      6.815      0.471
   542        21   (g)                -71   252   252   556   582   148   112     -0.003      0.393      1.419      1.472      0.000
   543        21   (g)                -71   246   246   556   582   112   111      0.751      2.332      5.092      5.651      0.000
   544        21   (g)                -71   251   251   556   582   111   155      0.967      0.137      0.215      1.000      0.000
   545        21   (g)                -71   248   248   556   582   155   101      1.199     -0.829     -0.388      1.509      0.000
   546        21   (g)                -71   313   313   556   582   101   186      3.292      0.392     -5.085      6.070      0.000
   547        21   (g)                -71   312   312   556   582   186   185      1.764      0.614     -1.994      2.732      0.000
   548        21   (g)                -71   388   388   556   582   185   176      5.622      3.146    -10.902     12.665      0.179
   549        21   (g)                -71   391   391   556   582   176   184     12.832      4.446    -23.262     26.941      0.561
   550        21   (g)                -71   307   307   556   582   184   182      5.488      1.220     -8.250      9.984      0.000
   551        21   (g)                -71   390   390   556   582   182   180      2.122      1.017     -4.312      4.936      0.493
   552        21   (g)                -71   294   294   556   582   180   178      0.075      0.010      0.101      0.126      0.000
   553         5   (b)                -71   314   314   556   582   178     0     35.879      5.774    -53.089     64.515      4.800
   554         1   (d)                -71   275   275   556   582   146     0      1.896     -0.781     -0.446      2.124      0.330
   555         1   (d)                -71   280   280   556   582   170     0      0.552     -0.841    267.637    267.639      0.330
   556      -213   (rho-)             -85   538   555   635   636     0     0      0.856     -0.569      0.093      1.573      1.187
   557       211   pi+                 85   538   555     0     0     0     0      0.464      0.157      0.364      0.626      0.140
   558       223   (omega)            -85   538   555   704   706     0     0      0.457     -0.523      0.719      1.271      0.785
   559       313   (K*0)              -85   538   555   637   638     0     0     -0.392      0.467      6.090      6.178      0.841
   560      -213   (rho-)             -86   538   555   639   640     0     0     -0.086      0.021    125.828    125.830      0.635
   561       323   (K*+)              -86   538   555   641   642     0     0      0.608     -0.780    112.643    112.651      0.872
   562      -321   K-                  86   538   555     0     0     0     0      0.330     -0.371     23.527     23.537      0.494
   563      -521   (B-)               -83   538   555   707   709     0     0     32.391      5.205    -47.762     58.184      5.279
   564      3212   (Sigma0)           -83   538   555   710   711     0     0      7.806      1.569    -12.001     14.451      1.193
   565       113   (rho0)             -83   538   555   643   644     0     0      1.916      1.044     -3.497      4.192      0.763
   566     -3112   (Sigmabar+)        -83   538   555   712   713     0     0      6.459      2.552    -11.917     13.845      1.197
   567       311   (K0)               -83   538   555   645   645     0     0      3.293      1.085     -5.808      6.782      0.498
   568      -313   (K*bar0)           -83   538   555   646   647     0     0      9.763      3.818    -17.623     20.525      0.907
   569      2112   n0                  83   538   555     0     0     0     0      3.296      0.513     -4.033      5.317      0.940
   570     -2112   nbar0               83   538   555     0     0     0     0      0.598     -0.137     -1.141      1.600      0.940
   571      -211   pi-                 83   538   555     0     0     0     0      2.363      0.429     -2.246      3.291      0.140
   572       213   (rho+)             -83   538   555   648   649     0     0      0.061     -0.008     -0.411      0.894      0.791
   573      -211   pi-                 83   538   555     0     0     0     0     -0.092      0.136     -0.087      0.232      0.140
   574       321   K+                  83   538   555     0     0     0     0      1.059      0.054     -0.067      1.172      0.494
   575      -323   (K*-)              -84   538   555   650   651     0     0      0.310      0.710      2.810      3.044      0.878
   576       223   (omega)            -84   538   555   714   715     0     0      0.112      0.309      0.748      1.132      0.783
   577       211   pi+                 84   538   555     0     0     0     0     -0.839      0.452      2.217      2.417      0.140
   578      -211   pi-                 84   538   555     0     0     0     0      0.468      0.385      0.986      1.165      0.140
   579       223   (omega)            -84   538   555   716   718     0     0      0.142      0.849      2.842      3.074      0.794
   580       211   pi+                 84   538   555     0     0     0     0      0.033      0.207      0.819      0.857      0.140
   581      3114   (Sigma*-)          -84   538   555   652   653     0     0     -0.429      1.406      4.603      5.032      1.405
   582       213   (rho+)             -84   538   555   654   655     0     0     -0.168     -0.899      7.020      7.129      0.846
   583      -211   pi-                 91   425     0     0     0     0     0     -0.128     -0.173      6.860      6.865      0.140
   584       111   (pi0)              -91   425     0   719   720     0     0      0.112      0.622     29.978     29.985      0.135
   585       211   pi+                 91   429     0     0     0     0     0     -1.674      2.523     65.348     65.419      0.140
   586      -211   pi-                 91   429     0     0     0     0     0     -0.096      0.211      3.044      3.055      0.140
   587       211   pi+                 91   430     0     0     0     0     0     -0.543      0.591     19.318     19.335      0.140
   588      -211   pi-                 91   430     0     0     0     0     0     -0.718      1.881     31.261     31.326      0.140
   589       211   pi+                 91   431     0     0     0     0     0     -2.217      4.173     78.473     78.615      0.140
   590      -211   pi-                 91   431     0     0     0     0     0     -2.004      1.876     56.471     56.538      0.140
   591       211   pi+                 91   451     0     0     0     0     0     -1.907     -0.863     -1.457      2.554      0.140
   592      -211   pi-                 91   451     0     0     0     0     0     -1.479     -0.456     -0.493      1.630      0.140
   593       211   pi+                 91   452     0     0     0     0     0     -0.654     -0.059     -0.225      0.708      0.140
   594       111   (pi0)              -91   452     0   721   722     0     0     -0.731     -0.775     -0.732      1.300      0.135
   595      -211   pi-                 91   454     0     0     0     0     0     -0.076     -0.026     -0.095      0.187      0.140
   596       111   (pi0)              -91   454     0   723   724     0     0     -1.199     -1.518      0.014      1.939      0.135
   597       311   (K0)               -91   455     0   656   656     0     0     -0.172     -0.724      0.430      0.993      0.498
   598       211   pi+                 91   455     0     0     0     0     0     -0.363     -0.426      0.814      0.998      0.140
   599      -311   (Kbar0)            -91   456     0   657   657     0     0      1.035     -0.260      1.162      1.654      0.498
   600      -211   pi-                 91   456     0     0     0     0     0      0.664     -0.708      0.636      1.169      0.140
   601       211   pi+                 91   462     0     0     0     0     0      5.247      2.698      5.667      8.182      0.140
   602      -211   pi-                 91   462     0     0     0     0     0      0.458      0.491      0.625      0.928      0.140
   603      -311   (Kbar0)            -91   499     0   658   658     0     0     -0.093      0.170      0.149      0.554      0.498
   604      -211   pi-                 91   499     0     0     0     0     0     -0.250     -0.508      0.085      0.589      0.140
   605      -211   pi-                 91   506     0     0     0     0     0     -0.553     -0.198     -6.586      6.614      0.140
   606       111   (pi0)              -91   506     0   725   726     0     0     -0.078      0.118    -15.828     15.829      0.135
   607       211   pi+                 91   507     0     0     0     0     0     -0.057     -0.232     -6.310      6.316      0.140
   608      -211   pi-                 91   507     0     0     0     0     0     -0.009      0.621     -4.685      4.729      0.140
   609       211   pi+                 91   508     0     0     0     0     0     -0.141     -0.619     -7.208      7.237      0.140
   610      -211   pi-                 91   508     0     0     0     0     0      0.175      0.070     -4.545      4.551      0.140
   611       211   pi+                 91   509     0     0     0     0     0      0.304     -0.348    -16.028     16.035      0.140
   612       111   (pi0)              -91   509     0   727   728     0     0     -0.090      0.072     -0.890      0.907      0.135
   613       211   pi+                 91   511     0     0     0     0     0     -0.829     -0.595    -11.212     11.259      0.140
   614      -211   pi-                 91   511     0     0     0     0     0      0.318     -0.242     -6.490      6.503      0.140
   615       211   pi+                 91   512     0     0     0     0     0     -0.109      0.059     -0.302      0.355      0.140
   616      -211   pi-                 91   512     0     0     0     0     0      0.430      1.024     -4.586      4.721      0.140
   617       211   pi+                 91   513     0     0     0     0     0      0.230      0.625     -2.631      2.717      0.140
   618       111   (pi0)              -91   513     0   729   730     0     0     -0.420      0.409     -5.523      5.556      0.135
   619       321   K+                  91   514     0     0     0     0     0     -0.592      1.501     -7.332      7.523      0.494
   620      -211   pi-                 91   514     0     0     0     0     0      0.009      0.332     -0.783      0.862      0.140
   621      -311   (Kbar0)            -91   515     0   659   659     0     0      0.518     -1.105     -6.814      6.941      0.498
   622       111   (pi0)              -91   515     0   731   732     0     0      0.893     -0.872     -5.507      5.648      0.135
   623      -211   pi-                 91   519     0     0     0     0     0      0.588     -1.043     -5.473      5.605      0.140
   624       111   (pi0)              -91   519     0   733   734     0     0      0.075      0.280     -1.479      1.513      0.135
   625       211   pi+                 91   520     0     0     0     0     0     -0.143     -0.346     -3.801      3.822      0.140
   626      -211   pi-                 91   520     0     0     0     0     0     -0.143     -0.018     -0.231      0.306      0.140
   627      2112   n0                  91   529     0     0     0     0     0     -0.635      0.630     -1.077      1.686      0.940
   628       111   (pi0)              -91   529     0   735   736     0     0     -0.603      0.568     -0.457      0.956      0.135
   629       211   pi+                 91   532     0     0     0     0     0     -0.301     -0.464      0.304      0.646      0.140
   630       111   (pi0)              -91   532     0   737   738     0     0     -0.049     -0.255     -0.321      0.435      0.135
   631      -211   pi-                 91   534     0     0     0     0     0      0.334     -0.477      0.335      0.687      0.140
   632       111   (pi0)              -91   534     0   739   740     0     0      1.199     -5.073      1.461      5.415      0.135
   633     -2112   nbar0               91   535     0     0     0     0     0      1.050     -3.982      1.339      4.431      0.940
   634      -211   pi-                 91   535     0     0     0     0     0      0.550     -1.370      0.220      1.500      0.140
   635      -211   pi-                 91   556     0     0     0     0     0      0.075      0.332      0.061      0.373      0.140
   636       111   (pi0)              -91   556     0   741   742     0     0      0.781     -0.901      0.032      1.200      0.135
   637       321   K+                  91   559     0     0     0     0     0     -0.290      0.590      4.588      4.661      0.494
   638      -211   pi-                 91   559     0     0     0     0     0     -0.101     -0.123      1.502      1.517      0.140
   639      -211   pi-                 91   560     0     0     0     0     0      0.150      0.216     69.883     69.884      0.140
   640       111   (pi0)              -91   560     0   743   744     0     0     -0.236     -0.195     55.946     55.947      0.135
   641       311   (K0)               -91   561     0   660   660     0     0      0.573     -0.652     68.635     68.643      0.498
   642       211   pi+                 91   561     0     0     0     0     0      0.035     -0.128     44.008     44.008      0.140
   643       211   pi+                 91   565     0     0     0     0     0      0.279     -0.072     -0.395      0.508      0.140
   644      -211   pi-                 91   565     0     0     0     0     0      1.637      1.116     -3.102      3.683      0.140
   645       130   K_L0                91   567   567     0     0     0     0      3.293      1.085     -5.808      6.782      0.498
   646      -311   (Kbar0)            -91   568     0   661   661     0     0      8.970      3.340    -16.163     18.792      0.498
   647       111   (pi0)              -91   568     0   745   746     0     0      0.793      0.478     -1.460      1.734      0.135
   648       211   pi+                 91   572     0     0     0     0     0     -0.110      0.263     -0.443      0.545      0.140
   649       111   (pi0)              -91   572     0   747   748     0     0      0.172     -0.271      0.032      0.349      0.135
   650      -311   (Kbar0)            -91   575     0   662   662     0     0      0.141      0.784      2.262      2.449      0.498
   651      -211   pi-                 91   575     0     0     0     0     0      0.169     -0.074      0.549      0.595      0.140
   652      3122   (Lambda0)          -91   581     0   749   750     0     0     -0.546      1.357      4.270      4.650      1.116
   653      -211   pi-                 91   581     0     0     0     0     0      0.117      0.049      0.332      0.382      0.140
   654       211   pi+                 91   582     0     0     0     0     0      0.009     -0.424      1.111      1.197      0.140
   655       111   (pi0)              -91   582     0   751   752     0     0     -0.176     -0.475      5.909      5.932      0.135
   656       310   (K_S0)             -91   597   597   753   754     0     0     -0.172     -0.724      0.430      0.993      0.498
   657       130   K_L0                91   599   599     0     0     0     0      1.035     -0.260      1.162      1.654      0.498
   658       130   K_L0                91   603   603     0     0     0     0     -0.093      0.170      0.149      0.554      0.498
   659       310   (K_S0)             -91   621   621   755   756     0     0      0.518     -1.105     -6.814      6.941      0.498
   660       130   K_L0                91   641   641     0     0     0     0      0.573     -0.652     68.635     68.643      0.498
   661       130   K_L0                91   646   646     0     0     0     0      8.970      3.340    -16.163     18.792      0.498
   662       310   (K_S0)             -91   650   650   757   758     0     0      0.141      0.784      2.262      2.449      0.498
   663       211   pi+                 91   407     0     0     0     0     0     -0.031      0.216    -49.106     49.106      0.140
   664      -211   pi-                 91   407     0     0     0     0     0      0.153      0.063    -14.299     14.301      0.140
   665       111   (pi0)              -91   407     0   759   760     0     0      0.528      0.239    -74.069     74.071      0.135
   666        22   gamma               91   421     0     0     0     0     0      0.026     -0.221     15.317     15.318      0.000
   667        22   gamma               91   421     0     0     0     0     0      0.919     -1.360     53.131     53.157      0.000
   668        22   gamma               91   422     0     0     0     0     0      0.671     -0.073     31.123     31.130      0.000
   669        22   gamma               91   422     0     0     0     0     0      0.065     -0.001     26.141     26.142      0.000
   670       211   pi+                 91   428     0     0     0     0     0     -0.130     -0.055      6.246      6.250      0.140
   671      -211   pi-                 91   428     0     0     0     0     0     -0.142      0.085      4.591      4.596      0.140
   672       111   (pi0)              -91   428     0   761   762     0     0     -0.103      0.048      1.599      1.609      0.135
   673       321   K+                  91   449     0     0     0     0     0    -12.513     -4.181     -7.301     15.087      0.494
   674      -321   K-                  91   449     0     0     0     0     0    -18.495     -6.068    -10.902     22.315      0.494
   675        22   gamma               91   453     0     0     0     0     0     -0.186      0.270      0.020      0.328      0.000
   676        22   gamma               91   453     0     0     0     0     0      0.232      0.010     -0.220      0.320      0.000
   677      2212   p+                  91   460     0     0     0     0     0      0.968     -0.064      1.245      1.836      0.938
   678      -211   pi-                 91   460     0     0     0     0     0      0.337      0.031      0.392      0.536      0.140
   679       211   pi+                 91   497     0     0     0     0     0      0.221     -0.375      0.004      0.457      0.140
   680      -211   pi-                 91   497     0     0     0     0     0     -0.143      0.048     -0.116      0.236      0.140
   681       111   (pi0)              -91   497     0   763   764     0     0      0.026     -0.064      0.112      0.188      0.135
   682       211   pi+                 91   501     0     0     0     0     0      0.065     -0.013     -0.330      0.365      0.140
   683      -211   pi-                 91   501     0     0     0     0     0      0.228     -0.129     -1.581      1.608      0.140
   684       111   (pi0)              -91   501     0   765   766     0     0      0.010     -0.046     -0.294      0.327      0.135
   685       211   pi+                 91   504     0     0     0     0     0      0.227      0.252     -2.459      2.486      0.140
   686      -211   pi-                 91   504     0     0     0     0     0      0.014     -0.028     -2.309      2.313      0.140
   687       111   (pi0)              -91   504     0   767   768     0     0      0.113     -0.255     -2.902      2.919      0.135
   688        22   gamma               91   505     0     0     0     0     0     -0.046     -0.019     -3.648      3.648      0.000
   689        22   gamma               91   505     0     0     0     0     0      0.002      0.075     -1.455      1.457      0.000
   690        22   gamma               91   516     0     0     0     0     0      0.404     -0.145     -1.738      1.790      0.000
   691        22   gamma               91   516     0     0     0     0     0      0.385     -0.141     -2.301      2.337      0.000
   692        22   gamma               91   525     0     0     0     0     0      0.017      0.010      0.021      0.029      0.000
   693        22   gamma               91   525     0     0     0     0     0      0.026      0.042     -0.198      0.204      0.000
   694        22   gamma               91   527     0     0     0     0     0     -0.187      0.107     -0.397      0.451      0.000
   695        22   gamma               91   527     0     0     0     0     0     -0.389      0.255     -0.513      0.693      0.000
   696       211   pi+                 91   528     0     0     0     0     0     -0.475      0.222     -0.259      0.601      0.140
   697      -211   pi-                 91   528     0     0     0     0     0     -0.004      0.093     -0.240      0.293      0.140
   698       111   (pi0)              -91   528     0   769   770     0     0     -0.521      0.383     -0.076      0.665      0.135
   699       211   pi+                 91   536     0     0     0     0     0      0.856     -2.353      0.647      2.590      0.140
   700      -211   pi-                 91   536     0     0     0     0     0      0.272     -0.972      0.498      1.134      0.140
   701       111   (pi0)              -91   536     0   771   772     0     0      0.955     -3.747      1.088      4.019      0.135
   702       521   (B+)               -91   537     0   773   777     0     0     12.147    -25.025      8.216     29.482      5.279
   703        22   gamma               91   537     0     0     0     0     0      0.102     -0.149      0.091      0.202      0.000
   704       211   pi+                 91   558     0     0     0     0     0      0.540     -0.236      0.538      0.810      0.140
   705      -211   pi-                 91   558     0     0     0     0     0     -0.077     -0.172      0.156      0.282      0.140
   706       111   (pi0)              -91   558     0   778   779     0     0     -0.006     -0.115      0.024      0.179      0.135
   707       -12   nu_ebar             91   563     0     0     0     0     0      0.334      0.214     -0.223      0.455      0.000
   708        11   e-                  91   563     0     0     0     0     0      5.291      2.199     -9.374     10.987      0.001
   709       423   (D*0)              -91   563     0   780   781     0     0     26.766      2.792    -38.165     46.742      2.007
   710      3122   (Lambda0)          -91   564     0   782   783     0     0      7.577      1.584    -11.685     14.061      1.116
   711        22   gamma               91   564     0     0     0     0     0      0.229     -0.016     -0.316      0.390      0.000
   712     -2112   nbar0               91   566     0     0     0     0     0      4.202      1.612     -7.877      9.121      0.940
   713       211   pi+                 91   566     0     0     0     0     0      2.258      0.939     -4.040      4.724      0.140
   714       111   (pi0)              -91   576     0   784   785     0     0     -0.055     -0.174      0.529      0.575      0.135
   715        22   gamma               91   576     0     0     0     0     0      0.167      0.483      0.220      0.557      0.000
   716       211   pi+                 91   579     0     0     0     0     0      0.218      0.104      0.413      0.499      0.140
   717      -211   pi-                 91   579     0     0     0     0     0      0.089      0.478      1.631      1.708      0.140
   718       111   (pi0)              -91   579     0   786   787     0     0     -0.164      0.267      0.798      0.868      0.135
   719        22   gamma               91   584     0     0     0     0     0      0.030      0.489     22.873     22.878      0.000
   720        22   gamma               91   584     0     0     0     0     0      0.082      0.134      7.105      7.107      0.000
   721        22   gamma               91   594     0     0     0     0     0     -0.534     -0.527     -0.580      0.949      0.000
   722        22   gamma               91   594     0     0     0     0     0     -0.197     -0.248     -0.152      0.351      0.000
   723        22   gamma               91   596     0     0     0     0     0     -0.744     -0.858      0.049      1.137      0.000
   724        22   gamma               91   596     0     0     0     0     0     -0.455     -0.660     -0.035      0.803      0.000
   725        22   gamma               91   606     0     0     0     0     0     -0.081      0.141    -15.074     15.075      0.000
   726        22   gamma               91   606     0     0     0     0     0      0.003     -0.022     -0.754      0.754      0.000
   727        22   gamma               91   612     0     0     0     0     0     -0.030      0.038     -0.751      0.753      0.000
   728        22   gamma               91   612     0     0     0     0     0     -0.059      0.033     -0.138      0.154      0.000
   729        22   gamma               91   618     0     0     0     0     0     -0.342      0.248     -3.798      3.821      0.000
   730        22   gamma               91   618     0     0     0     0     0     -0.078      0.160     -1.725      1.735      0.000
   731        22   gamma               91   622     0     0     0     0     0      0.889     -0.851     -5.342      5.482      0.000
   732        22   gamma               91   622     0     0     0     0     0      0.004     -0.021     -0.165      0.166      0.000
   733        22   gamma               91   624     0     0     0     0     0      0.100      0.118     -0.661      0.678      0.000
   734        22   gamma               91   624     0     0     0     0     0     -0.025      0.163     -0.818      0.835      0.000
   735        22   gamma               91   628     0     0     0     0     0     -0.456      0.349     -0.287      0.642      0.000
   736        22   gamma               91   628     0     0     0     0     0     -0.148      0.220     -0.170      0.314      0.000
   737        22   gamma               91   630     0     0     0     0     0     -0.035      0.000     -0.058      0.067      0.000
   738        22   gamma               91   630     0     0     0     0     0     -0.014     -0.255     -0.264      0.367      0.000
   739        22   gamma               91   632     0     0     0     0     0      0.880     -3.785      1.148      4.052      0.000
   740        22   gamma               91   632     0     0     0     0     0      0.319     -1.288      0.313      1.363      0.000
   741        22   gamma               91   636     0     0     0     0     0      0.387     -0.452     -0.051      0.597      0.000
   742        22   gamma               91   636     0     0     0     0     0      0.394     -0.449      0.084      0.603      0.000
   743        22   gamma               91   640     0     0     0     0     0     -0.035      0.015      3.771      3.771      0.000
   744        22   gamma               91   640     0     0     0     0     0     -0.201     -0.210     52.175     52.176      0.000
   745        22   gamma               91   647     0     0     0     0     0      0.393      0.313     -0.758      0.909      0.000
   746        22   gamma               91   647     0     0     0     0     0      0.400      0.164     -0.702      0.825      0.000
   747        22   gamma               91   649     0     0     0     0     0      0.157     -0.176     -0.026      0.238      0.000
   748        22   gamma               91   649     0     0     0     0     0      0.014     -0.095      0.057      0.112      0.000
   749      2212   p+                  91   652     0     0     0     0     0     -0.416      1.045      3.591      3.878      0.938
   750      -211   pi-                 91   652     0     0     0     0     0     -0.129      0.313      0.680      0.772      0.140
   751        22   gamma               91   655     0     0     0     0     0     -0.148     -0.467      5.343      5.366      0.000
   752        22   gamma               91   655     0     0     0     0     0     -0.028     -0.007      0.566      0.566      0.000
   753       211   pi+                 91   656     0     0     0     0     0      0.026     -0.169      0.302      0.374      0.140
   754      -211   pi-                 91   656     0     0     0     0     0     -0.198     -0.555      0.128      0.619      0.140
   755       211   pi+                 91   659     0     0     0     0     0      0.020     -0.173     -1.828      1.842      0.140
   756      -211   pi-                 91   659     0     0     0     0     0      0.498     -0.933     -4.986      5.099      0.140
   757       111   (pi0)              -91   662     0   788   789     0     0     -0.064      0.052      0.270      0.313      0.135
   758       111   (pi0)              -91   662     0   790   791     0     0      0.205      0.732      1.992      2.136      0.135
   759        22   gamma               91   665     0     0     0     0     0      0.131      0.029    -24.098     24.098      0.000
   760        22   gamma               91   665     0     0     0     0     0      0.397      0.210    -49.971     49.973      0.000
   761        22   gamma               91   672     0     0     0     0     0     -0.120      0.062      1.532      1.538      0.000
   762        22   gamma               91   672     0     0     0     0     0      0.017     -0.014      0.067      0.070      0.000
   763        22   gamma               91   681     0     0     0     0     0      0.005     -0.104      0.065      0.123      0.000
   764        22   gamma               91   681     0     0     0     0     0      0.021      0.041      0.047      0.066      0.000
   765        22   gamma               91   684     0     0     0     0     0      0.013     -0.011      0.011      0.020      0.000
   766        22   gamma               91   684     0     0     0     0     0     -0.003     -0.035     -0.305      0.307      0.000
   767        22   gamma               91   687     0     0     0     0     0     -0.023     -0.100     -1.064      1.069      0.000
   768        22   gamma               91   687     0     0     0     0     0      0.136     -0.155     -1.838      1.850      0.000
   769        22   gamma               91   698     0     0     0     0     0     -0.050      0.001     -0.027      0.057      0.000
   770        22   gamma               91   698     0     0     0     0     0     -0.471      0.382     -0.049      0.608      0.000
   771        22   gamma               91   701     0     0     0     0     0      0.126     -0.363      0.084      0.393      0.000
   772        22   gamma               91   701     0     0     0     0     0      0.829     -3.384      1.004      3.626      0.000
   773      -421   (Dbar0)            -91   702     0   792   795     0     0      2.891     -6.173      2.435      7.475      1.865
   774       211   pi+                 91   702     0     0     0     0     0      1.643     -3.569      0.734      3.999      0.140
   775      -211   pi-                 91   702     0     0     0     0     0      1.982     -4.946      1.331      5.495      0.140
   776       211   pi+                 91   702     0     0     0     0     0      2.523     -4.920      2.803      6.201      0.140
   777       111   (pi0)              -91   702     0   796   797     0     0      3.108     -5.417      0.912      6.313      0.135
   778        22   gamma               91   706     0     0     0     0     0      0.018      0.027      0.011      0.034      0.000
   779        22   gamma               91   706     0     0     0     0     0     -0.024     -0.142      0.013      0.145      0.000
   780       421   (D0)               -91   709     0   798   799     0     0     25.327      2.617    -36.126     44.237      1.865
   781       111   (pi0)              -91   709     0   800   801     0     0      1.439      0.175     -2.039      2.505      0.135
   782      2212   p+                  91   710     0     0     0     0     0      6.888      1.373    -10.524     12.687      0.938
   783      -211   pi-                 91   710     0     0     0     0     0      0.689      0.211     -1.161      1.374      0.140
   784        22   gamma               91   714     0     0     0     0     0      0.022     -0.132      0.254      0.287      0.000
   785        22   gamma               91   714     0     0     0     0     0     -0.077     -0.042      0.274      0.288      0.000
   786        22   gamma               91   718     0     0     0     0     0     -0.107      0.250      0.561      0.623      0.000
   787        22   gamma               91   718     0     0     0     0     0     -0.058      0.017      0.237      0.245      0.000
   788        22   gamma               91   757     0     0     0     0     0     -0.065      0.092      0.159      0.195      0.000
   789        22   gamma               91   757     0     0     0     0     0      0.001     -0.040      0.111      0.118      0.000
   790        22   gamma               91   758     0     0     0     0     0      0.191      0.628      1.821      1.936      0.000
   791        22   gamma               91   758     0     0     0     0     0      0.014      0.104      0.170      0.200      0.000
   792      -311   (Kbar0)            -91   773     0   802   802     0     0      1.075     -2.057      1.295      2.704      0.498
   793      -311   (Kbar0)            -91   773     0   803   803     0     0      0.370     -1.286      0.263      1.451      0.498
   794      -211   pi-                 91   773     0     0     0     0     0      0.265     -0.467      0.126      0.569      0.140
   795       211   pi+                 91   773     0     0     0     0     0      1.182     -2.364      0.751      2.751      0.140
   796        22   gamma               91   777     0     0     0     0     0      0.850     -1.539      0.203      1.770      0.000
   797        22   gamma               91   777     0     0     0     0     0      2.257     -3.878      0.710      4.543      0.000
   798       321   K+                  91   780     0     0     0     0     0     14.132      1.702    -21.473     25.768      0.494
   799      -321   K-                  91   780     0     0     0     0     0     11.195      0.915    -14.652     18.469      0.494
   800        22   gamma               91   781     0     0     0     0     0      0.659      0.063     -0.819      1.053      0.000
   801        22   gamma               91   781     0     0     0     0     0      0.780      0.111     -1.220      1.452      0.000
   802       310   (K_S0)             -91   792   792   804   805     0     0      1.075     -2.057      1.295      2.704      0.498
   803       130   K_L0                91   793   793     0     0     0     0      0.370     -1.286      0.263      1.451      0.498
   804       111   (pi0)              -91   802     0   806   807     0     0      0.365     -1.145      0.697      1.396      0.135
   805       111   (pi0)              -91   802     0   808   809     0     0      0.709     -0.912      0.598      1.308      0.135
   806        22   gamma               91   804     0     0     0     0     0      0.051     -0.172      0.163      0.242      0.000
   807        22   gamma               91   804     0     0     0     0     0      0.315     -0.973      0.534      1.153      0.000
   808        22   gamma               91   805     0     0     0     0     0      0.137     -0.146      0.052      0.207      0.000
   809        22   gamma               91   805     0     0     0     0     0      0.573     -0.765      0.547      1.101      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000      0.000   1960.000   1960.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Warning in TimeShower::findMEcorr: ME weight above PS one  
 PYTHIA Abort from Pythia::next: reached end of Les Houches Events File  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> t tbar                                  601 |         244          9          9 |   2.680e-10  3.892e-11 |
 | q qbar -> t tbar                               602 |        3400        165        165 |   5.666e-09  1.937e-10 |
 | Les Houches User Process(es)                  9999 |         200        200        200 |   5.480e-09  5.488e-10 |
 |    ... whereof user classification code         81 |         192        192        192 |                        | 
 |    ... whereof user classification code         82 |           8          8          8 |                        | 
 |                                                    |                                   |                        |
 | sum                                                |        3844        374        374 |   1.141e-08  5.833e-10 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      2   Abort from Pythia::next: reached end of Les Houches Events File                                        | 
 |      4   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |      1   Warning in TimeShower::findMEcorr: ME weight above PS one                                              | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:03       charged particle multiplicity

        1.84*10^ 1                             5       5                                                                
        1.76*10^ 1                          3  X      3X                                                                
        1.68*10^ 1                          X  X      XX                                                                
        1.60*10^ 1                          X  X    XXXX                                                                
        1.52*10^ 1                          X  X    XXXX8                                                               
        1.44*10^ 1                          X5 X  5 XXXXX5                                                              
        1.36*10^ 1                       3  XX X  X XXXXXX 3                                                            
        1.28*10^ 1                       X  XX X  X XXXXXX X                                                            
        1.20*10^ 1                       X XXX X XX XXXXXX X                                                            
        1.12*10^ 1                      8X XXX8X8XX XXXXXX X 8                                                          
        1.04*10^ 1                      XX XXXXXXXX XXXXXX5X X                                                          
        0.96*10^ 1                      XX XXXXXXXX XXXXXXXX X                                                          
        0.88*10^ 1                      XX XXXXXXXX XXXXXXXX X                                                          
        0.80*10^ 1                      XX XXXXXXXXXXXXXXXXXXX XX                                                       
        0.72*10^ 1                      XX8XXXXXXXXXXXXXXXXXXX XX                                                       
        0.64*10^ 1                      XXXXXXXXXXXXXXXXXXXXXX5XX  5                                                    
        0.56*10^ 1                 22   XXXXXXXXXXXXXXXXXXXXXXXXX 2X2 2                                                 
        0.48*10^ 1                 XX   XXXXXXXXXXXXXXXXXXXXXXXXX XXX X                                                 
        0.40*10^ 1                XXX XXXXXXXXXXXXXXXXXXXXXXXXXXX XXX X                                                 
        0.32*10^ 1                XXX7XXXXXXXXXXXXXXXXXXXXXXXXXXX7XXX X7                                                
        0.24*10^ 1              5 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX  5  5                                          
        0.16*10^ 1              X2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2XX22X22X    2 2                                   
        0.08*10^ 1              XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX    X X                                   

          Contents                                                                                                      
            *10^ 1  0000000000000000000011011111111011111111010000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000002145534413727418124866785403816883565153112112000010100000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000000000000000111111111111111111111111122222222222222222222222223333333333333333333333333
            *10^ 1  0001122233444556667788899000112223344455666778889900011222334445566677888990001122233444556667788899
            *10^ 0  1482604826048260482604826048260482604826048260482604826048260482604826048260482604826048260482604826

   Entries  =         374    Mean =  1.3026e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  3.7400e+02    Rms  =  3.8280e+01    Overflow  =  0.0000e+00    High edge =  3.9950e+02
pythia8-8.1.86.orig/examples/outref/out030000644000175000017500000014435512357054710016376 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:00:21    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   1.252e-01 |
 | g g -> q qbar (uds)                            112 |   1.483e-03 |
 | q g -> q g                                     113 |   1.005e-01 |
 | q q(bar)' -> q q(bar)'                         114 |   1.148e-02 |
 | q qbar -> g g                                  115 |   8.118e-05 |
 | q qbar -> q' qbar' (uds)                       116 |   3.858e-05 |
 | g g -> c cbar                                  121 |   4.935e-04 |
 | q qbar -> c cbar                               122 |   1.285e-05 |
 | g g -> b bbar                                  123 |   4.851e-04 |
 | q qbar -> b bbar                               124 |   1.273e-05 |
 | q g -> q gamma (udscb)                         201 |   3.386e-05 |
 | q qbar -> g gamma                              202 |   2.496e-06 |
 | g g -> g gamma                                 203 |   1.124e-08 |
 | f fbar -> gamma gamma                          204 |   2.014e-08 |
 | g g -> gamma gamma                             205 |   9.624e-09 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.17 gives sigmaInteraction =  253.30 mb: accepted     | 
 |                                                                  | 
 |  x-dependent matter profile: a1 = 0.15, a0 = 0.26, bStep = 0.02  | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | HardQCD:all                                   |                       on |          off                         | 
 | Init:showChangedParticleData                  |                      off |           on                         | 
 | Main:timesAllowErrors                         |                        3 |           10           0             | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        4 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | Next:numberCount                              |                      100 |         1000           0             | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | ParticleDecays:limitTau0                      |                       on |          off                         | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                 50.00000 |          0.0         0.0             | 
 | PromptPhoton:all                              |                       on |          off                         | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 | Tune:pp                                       |                        6 |            5          -1          13 | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  2.271e-02, pdf =  4.363e+00 at Q2 =  2.822e+03.
 In 2: id =   21, x =  8.902e-03, pdf =  9.011e+00 at same Q2.

 Subprocess g g -> g g with code 111 is 2 -> 2.
 It has sHat =  3.963e+04,    tHat = -3.058e+03,    uHat = -3.657e+04,
       pTHat =  5.312e+01,   m3Hat =  0.000e+00,   m4Hat =  0.000e+00,
    thetaHat =  5.630e-01,  phiHat =  5.710e+00.
     alphaEM =  7.770e-03,  alphaS =  1.482e-01    at Q2 =  2.822e+03.

 Impact parameter b =  6.620e-01 gives enhancement factor =  1.796e+00.
 Max pT scale for MPI =  5.312e+01, ISR =  5.312e+01, FSR =  5.312e+01.
 Number of MPI =    12, ISR =    36, FSRproc =   192, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     1     0     5     6   101   102      0.000      0.000    158.976    158.976      0.000
     4        21   (g)                -21     2     0     5     6   103   104      0.000      0.000    -62.317     62.317      0.000
     5        21   g                   23     3     4     0     0   101   104     44.625    -28.817    141.901    151.518      0.000
     6        21   g                   23     3     4     0     0   103   102    -44.625     28.817    -45.242     69.775      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000     96.659    221.293    199.066

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in MultipartonInteractions::pTnext: weight above unity  
 PYTHIA Error in StringFragmentation::fragment: stuck in joining  
 PYTHIA Error in Pythia::next: hadronLevel failed; try again  

 Pythia::next(): 100 events have been generated 

 Pythia::next(): 200 events have been generated 

 Pythia::next(): 300 events have been generated 

 Pythia::next(): 400 events have been generated 
 PYTHIA Error in Pythia::check: unmatched particle energy/momentum/mass  
 PYTHIA Error in Pythia::next: check of event revealed problems  

 Pythia::next(): 500 events have been generated 

 Pythia::next(): 600 events have been generated 
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  

 Pythia::next(): 700 events have been generated 

 Pythia::next(): 800 events have been generated 

 Pythia::next(): 900 events have been generated 

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |        4405        534        534 |   1.599e-02  3.416e-04 |
 | g g -> q qbar (uds)                            112 |          41          6          6 |   3.491e-04  5.508e-05 |
 | q g -> q g                                     113 |        3502        400        400 |   1.137e-02  3.188e-04 |
 | q q(bar)' -> q q(bar)'                         114 |         349         47         47 |   1.532e-03  1.281e-04 |
 | q qbar -> g g                                  115 |           3          1          1 |   2.552e-05  2.552e-05 |
 | q qbar -> q' qbar' (uds)                       116 |           4          2          2 |   1.507e-05  7.424e-06 |
 | g g -> c cbar                                  121 |          20          4          4 |   6.811e-05  2.401e-05 |
 | q qbar -> c cbar                               122 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> b bbar                                  123 |          20          5          5 |   1.312e-04  2.577e-05 |
 | q qbar -> b bbar                               124 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> q gamma (udscb)                         201 |           1          1          1 |   1.238e-05  1.238e-05 |
 | q qbar -> g gamma                              202 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> g gamma                                 203 |           0          0          0 |   0.000e+00  0.000e+00 |
 | f fbar -> gamma gamma                          204 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> gamma gamma                             205 |           0          0          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |        8346       1000       1000 |   2.950e-02  4.897e-04 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Error in Pythia::check: unmatched particle energy/momentum/mass                                        | 
 |      1   Error in Pythia::next: check of event revealed problems                                                | 
 |      2   Error in Pythia::next: hadronLevel failed; try again                                                   | 
 |      2   Error in StringFragmentation::fragment: stuck in joining                                               | 
 |      1   Warning in MultipartonInteractions::pTnext: weight above unity                                         | 
 |      2   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      1   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:01       process pT scale

        3.24*10^ 2            9                                                                                         
        3.12*10^ 2            X                                                                                         
        3.00*10^ 2            X                                                                                         
        2.88*10^ 2            X                                                                                         
        2.76*10^ 2            X                                                                                         
        2.64*10^ 2            X                                                                                         
        2.52*10^ 2            X                                                                                         
        2.40*10^ 2            X                                                                                         
        2.28*10^ 2            X                                                                                         
        2.16*10^ 2            X1                                                                                        
        2.04*10^ 2            XX                                                                                        
        1.92*10^ 2            XX                                                                                        
        1.80*10^ 2            XX                                                                                        
        1.68*10^ 2            XX                                                                                        
        1.56*10^ 2            XX                                                                                        
        1.44*10^ 2            XX                                                                                        
        1.32*10^ 2            XX9                                                                                       
        1.20*10^ 2            XXX                                                                                       
        1.08*10^ 2            XXX3                                                                                      
        0.96*10^ 2            XXXX                                                                                      
        0.84*10^ 2            XXXX                                                                                      
        0.72*10^ 2            XXXX                                                                                      
        0.60*10^ 2            XXXXX2                                                                                    
        0.48*10^ 2            XXXXXX                                                                                    
        0.36*10^ 2            XXXXXX9                                                                                   
        0.24*10^ 2            XXXXXXX8322                                                                               
        0.12*10^ 2            XXXXXXXXXXX32413 1321121 1   1        1                                                   

          Contents                                                                                                      
            *10^ 2  0000000000321000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0000000000203965321110000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0000000000351901526444251401321121010001000000001000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 2  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^ 1  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^ 0  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        1000    Mean =  6.5165e+01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+03    Rms  =  1.8220e+01    Overflow  =  0.0000e+00    High edge =  5.0000e+02


  2013-09-20 16:01       final particle multiplicity

        4.50*10^ 1                          3         3                                                                 
        4.35*10^ 1                          X         X                                                                 
        4.20*10^ 1                          X         X                                                                 
        4.05*10^ 1                          X      7  X                                                                 
        3.90*10^ 1                          X    3XXX X                                                                 
        3.75*10^ 1                          X7   XXXX X  7                                                              
        3.60*10^ 1                          XX3  XXXXXXX3X                                                              
        3.45*10^ 1                          XXX 7XXXXXXXXX                                                              
        3.30*10^ 1                        3 XXX XXXXXXXXXX                                                              
        3.15*10^ 1                     7  X7XXX7XXXXXXXXXX                                                              
        3.00*10^ 1                     X  XXXXXXXXXXXXXXXX                                                              
        2.85*10^ 1                     X  XXXXXXXXXXXXXXXX                                                              
        2.70*10^ 1                     X  XXXXXXXXXXXXXXXX                                                              
        2.55*10^ 1                     X  XXXXXXXXXXXXXXXX                                                              
        2.40*10^ 1                     X  XXXXXXXXXXXXXXXX X X                                                          
        2.25*10^ 1                     X  XXXXXXXXXXXXXXXX7X X7                                                         
        2.10*10^ 1                  3  X XXXXXXXXXXXXXXXXXXX3XX                                                         
        1.95*10^ 1                 7X  X7XXXXXXXXXXXXXXXXXXXXXX                                                         
        1.80*10^ 1                 XXX XXXXXXXXXXXXXXXXXXXXXXXX                                                         
        1.65*10^ 1                 XXX XXXXXXXXXXXXXXXXXXXXXXXX                                                         
        1.50*10^ 1                 XXX3XXXXXXXXXXXXXXXXXXXXXXXX                                                         
        1.35*10^ 1              77 XXXXXXXXXXXXXXXXXXXXXXXXXXXX  7                                                      
        1.20*10^ 1             3XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXX X 3                                                    
        1.05*10^ 1             XXX7XXXXXXXXXXXXXXXXXXXXXXXXXXXXX X X7                                                   
        0.90*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX                                                   
        0.75*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX   7                                               
        0.60*10^ 1          XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X3                                              
        0.45*10^ 1         7XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX XX                                              
        0.30*10^ 1         XXX3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                              
        0.15*10^ 1         XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7777         7                                

          Contents                                                                                                      
            *10^ 1  0000000000011111211312334333333433433322222101011000000000000000000000000000000000000000000000000000
            *10^ 0  0000000466213309084191214751489096465724042293610663751111000000000100000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^ 3  0000000000000000000000000000000000000000000000000000000000000001111111111111111111111111111111111111
            *10^ 2  0000001111111222222333333444444555555566666677777788888899999990000001111112222223333333444444555555
            *10^ 1  0235680134689124679024578023568013468912467902457802356801346891246790245780235680134689124679024578

   Entries  =        1000    Mean =  4.8196e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  1.5817e+02    Overflow  =  0.0000e+00    High edge =  1.5995e+03


  2013-09-20 16:01       charged particle multiplicity

        4.60*10^ 1                          5  X    X                                                                   
        4.40*10^ 1                          X 5X    X                                                                   
        4.20*10^ 1                          X XX    XX                                                                  
        4.00*10^ 1                       5 XX XXX  5XX                                                                  
        3.80*10^ 1                       X XX XXXX XXX                                                                  
        3.60*10^ 1                       X XX XXXX XXX                                                                  
        3.40*10^ 1                       X XXXXXXXXXXX                                                                  
        3.20*10^ 1                      5X XXXXXXXXXXX                                                                  
        3.00*10^ 1                      XXXXXXXXXXXXXX5X                                                                
        2.80*10^ 1                      XXXXXXXXXXXXXXXX XX                                                             
        2.60*10^ 1                  X   XXXXXXXXXXXXXXXX5XX                                                             
        2.40*10^ 1                  XX  XXXXXXXXXXXXXXXXXXX X                                                           
        2.20*10^ 1                  XXX5XXXXXXXXXXXXXXXXXXX X                                                           
        2.00*10^ 1                5 XXXXXXXXXXXXXXXXXXXXXXXXX                                                           
        1.80*10^ 1                XXXXXXXXXXXXXXXXXXXXXXXXXXX                                                           
        1.60*10^ 1                XXXXXXXXXXXXXXXXXXXXXXXXXXX                                                           
        1.40*10^ 1               XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                                           
        1.20*10^ 1             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  5                                                        
        1.00*10^ 1            XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X5                                                       
        0.80*10^ 1          55XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5 5                                                    
        0.60*10^ 1          XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X 5                                                  
        0.40*10^ 1         5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  5                                               
        0.20*10^ 1        5XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5XX5        5                                     

          Contents                                                                                                      
            *10^ 1  0000000000111111222233344344433344232222210100000000000000000000000000000000000000000000000000000000
            *10^ 0  0000001377022498642119005436084962905880408197474512310000000010000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000111111111111222222222222233333333333344444444444445555555555556666666666666777777777777
            *10^ 1  0012344567889012234566789001234456788901223456678900123445678890122345667890012344567889012234566789
            *10^ 0  1864208642086420864208642086420864208642086420864208642086420864208642086420864208642086420864208642

   Entries  =        1000    Mean =  2.2395e+02    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+03    Rms  =  7.3543e+01    Overflow  =  0.0000e+00    High edge =  7.9950e+02


  2013-09-20 16:01       dn/dy for charged particles

        2.70*10^ 1                                                    2                                                 
        2.60*10^ 1                                                35X7X44  4                                            
        2.50*10^ 1                                              29XXXXXXX97X                                            
        2.40*10^ 1                                           67XXXXXXXXXXXXXX5                                          
        2.30*10^ 1                                         23XXXXXXXXXXXXXXXXXX8                                        
        2.20*10^ 1                                       15XXXXXXXXXXXXXXXXXXXXX5                                       
        2.10*10^ 1                                       XXXXXXXXXXXXXXXXXXXXXXXX61                                     
        2.00*10^ 1                                      9XXXXXXXXXXXXXXXXXXXXXXXXXXX1                                   
        1.90*10^ 1                                     XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                   
        1.80*10^ 1                                   56XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                                  
        1.70*10^ 1                                  8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX33                                
        1.60*10^ 1                                 3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                               
        1.50*10^ 1                                6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX1                              
        1.40*10^ 1                               6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                             
        1.30*10^ 1                              9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                            
        1.20*10^ 1                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                           
        1.10*10^ 1                            9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                         
        1.00*10^ 1                          49XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                        
        0.90*10^ 1                         6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                       
        0.80*10^ 1                        3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                      
        0.70*10^ 1                       8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                     
        0.60*10^ 1                     17XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX62                   
        0.50*10^ 1                    4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                  
        0.40*10^ 1                  39XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX92                
        0.30*10^ 1               156XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX74              
        0.20*10^ 1           2458XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX98641         
        0.10*10^ 1   1113358XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX87543111 

          Contents                                                                                                      
            *10^ 1  0000000000000000000000000011111111111222222222222222222222222222111111111110000000000000000000000000
            *10^ 0  0000000001111222334556789902234567799112233344555565544543321000976654322009876554332211111000000000
            *10^-1  0001235891348146283178363890866274509042257918259713396304085600053331760942775622916397641875331000
            *10^-2  4684854166550192759510458722624877921981554858819278829959454590931290571978931407366837211221641965

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =      223422    Mean = -1.0577e-02    Underflow =  2.0000e-02    Low edge  = -1.0000e+01
   All chan =  1.1171e+03    Rms  =  3.2450e+00    Overflow  =  3.0000e-02    High edge =  1.0000e+01


  2013-09-20 16:01       dn/d(eta) for charged particles

        2.40*10^ 1                                               4         22                                           
        2.32*10^ 1                                           2541X538385 72XX534                                        
        2.24*10^ 1                                         85XXXXXXXXXXX9XXXXXXX                                        
        2.16*10^ 1                                       67XXXXXXXXXXXXXXXXXXXXX3                                       
        2.08*10^ 1                                      3XXXXXXXXXXXXXXXXXXXXXXXX625                                    
        2.00*10^ 1                                      XXXXXXXXXXXXXXXXXXXXXXXXXXXX                                    
        1.92*10^ 1                                     7XXXXXXXXXXXXXXXXXXXXXXXXXXXX9                                   
        1.84*10^ 1                                   1XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX6                                  
        1.76*10^ 1                                  6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                                  
        1.68*10^ 1                                  XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                                
        1.60*10^ 1                                 7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                               
        1.52*10^ 1                                9XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                              
        1.44*10^ 1                               7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                             
        1.36*10^ 1                             28XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                            
        1.28*10^ 1                             XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                           
        1.20*10^ 1                            3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9                          
        1.12*10^ 1                           2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                         
        1.04*10^ 1                          7XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                        
        0.96*10^ 1                         4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX8                       
        0.88*10^ 1                        4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                      
        0.80*10^ 1                       2XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX3                     
        0.72*10^ 1                      4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                    
        0.64*10^ 1                     3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.56*10^ 1                    3XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4                  
        0.48*10^ 1                   4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX5                 
        0.40*10^ 1                 26XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX7                
        0.32*10^ 1               27XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX41             
        0.24*10^ 1             47XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX42           
        0.16*10^ 1         549XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX9521      
        0.08*10^ 1  224578XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX895432

          Contents                                                                                                      
            *10^ 1  0000000000000000000000001111111111112222222222222222222222222222111111111111000000000000000000000000
            *10^ 0  0000000111112223345567890012345577880112222223223232222332221000986654332100987655433221111100000000
            *10^-1  1124568114591594730873312549411726492232058755860607396337670523107688955891434661472749765298664321
            *10^-2  6881461829605730227253420877281354385551354526156776050487022007087830274886813912291145544047381137

          Low edge  --------------------------------------------------                                                  
            *10^ 1  1000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0999998888877777666665555544444333332222211111000000000111112222233333444445555566666777778888899999
            *10^-1  0864208642086420864208642086420864208642086420864202468024680246802468024680246802468024680246802468

   Entries  =      223422    Mean = -1.1071e-02    Underflow =  3.4500e-01    Low edge  = -1.0000e+01
   All chan =  1.1164e+03    Rms  =  3.4151e+00    Overflow  =  3.2500e-01    High edge =  1.0000e+01


  2013-09-20 16:01       dn/dpT for charged particles

        3.00*10^ 2    1                                                                                                 
        2.90*10^ 2    X                                                                                                 
        2.80*10^ 2    X                                                                                                 
        2.70*10^ 2    X                                                                                                 
        2.60*10^ 2   7X7                                                                                                
        2.50*10^ 2   XXX                                                                                                
        2.40*10^ 2   XXX                                                                                                
        2.30*10^ 2   XXX                                                                                                
        2.20*10^ 2   XXX2                                                                                               
        2.10*10^ 2   XXXX                                                                                               
        2.00*10^ 2   XXXX                                                                                               
        1.90*10^ 2   XXXX                                                                                               
        1.80*10^ 2   XXXX2                                                                                              
        1.70*10^ 2   XXXXX                                                                                              
        1.60*10^ 2   XXXXX                                                                                              
        1.50*10^ 2   XXXXX                                                                                              
        1.40*10^ 2   XXXXX6                                                                                             
        1.30*10^ 2  6XXXXXX                                                                                             
        1.20*10^ 2  XXXXXXX                                                                                             
        1.10*10^ 2  XXXXXXX7                                                                                            
        1.00*10^ 2  XXXXXXXX                                                                                            
        0.90*10^ 2  XXXXXXXX5                                                                                           
        0.80*10^ 2  XXXXXXXXX                                                                                           
        0.70*10^ 2  XXXXXXXXXX                                                                                          
        0.60*10^ 2  XXXXXXXXXX7                                                                                         
        0.50*10^ 2  XXXXXXXXXXX92                                                                                       
        0.40*10^ 2  XXXXXXXXXXXXX71                                                                                     
        0.30*10^ 2  XXXXXXXXXXXXXXX73                                                                                   
        0.20*10^ 2  XXXXXXXXXXXXXXXXXX86421                                                                             
        0.10*10^ 2  XXXXXXXXXXXXXXXXXXXXXXXXX97766554444333322232222221111111111111111111111111111111 1 11  1           

          Contents                                                                                                      
            *10^ 2  1222211100000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  2595173086544332211111100000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  6707215749791616397532099876655444433222222221211111111111111110011000000000000000000000000000000000
            *10^-1  4152165179106745586975967647451731294889541629198754543220111119800777778767966564556544534434443333

          Low edge                                                                                                      
            *10^ 0  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-1  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =      223422    Mean =  8.3081e-01    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  2.2179e+03    Rms  =  1.1040e+00    Overflow  =  1.6300e+01    High edge =  1.0000e+01


  2013-09-20 16:01       deviation from energy-momentum conservation

        1.00*10^ 3  X                                                                                                   
        0.96*10^ 3  X                                                                                                   
        0.92*10^ 3  X                                                                                                   
        0.88*10^ 3  X                                                                                                   
        0.84*10^ 3  X                                                                                                   
        0.80*10^ 3  X                                                                                                   
        0.76*10^ 3  X                                                                                                   
        0.72*10^ 3  X                                                                                                   
        0.68*10^ 3  X                                                                                                   
        0.64*10^ 3  X                                                                                                   
        0.60*10^ 3  X                                                                                                   
        0.56*10^ 3  X                                                                                                   
        0.52*10^ 3  X                                                                                                   
        0.48*10^ 3  X                                                                                                   
        0.44*10^ 3  X                                                                                                   
        0.40*10^ 3  X                                                                                                   
        0.36*10^ 3  X                                                                                                   
        0.32*10^ 3  X                                                                                                   
        0.28*10^ 3  X                                                                                                   
        0.24*10^ 3  X                                                                                                   
        0.20*10^ 3  X                                                                                                   
        0.16*10^ 3  X                                                                                                   
        0.12*10^ 3  X                                                                                                   
        0.08*10^ 3  X                                                                                                   
        0.04*10^ 3  X                                                                                                   

          Contents                                                                                                      
            *10^ 2  9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  9000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  8000010010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge                                                                                                      
            *10^-7  0000000000111111111122222222223333333333444444444455555555556666666666777777777788888888889999999999
            *10^-8  0123456789012345678901234567890123456789012345678901234567890123456789012345678901234567890123456789
            *10^-9  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        1000    Mean =  5.1300e-09    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  1.0000e+03    Rms  =  2.9805e-09    Overflow  =  0.0000e+00    High edge =  1.0000e-06
pythia8-8.1.86.orig/examples/outref/out180000644000175000017500000157310012357054717016406 0ustar  sunsun
 *------------------------------------------------------------------------------------* 
 |                                                                                    | 
 |  *------------------------------------------------------------------------------*  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  |   PPP   Y   Y  TTTTT  H   H  III    A      Welcome to the Lund Monte Carlo!  |  | 
 |  |   P  P   Y Y     T    H   H   I    A A     This is PYTHIA version 8.180      |  | 
 |  |   PPP     Y      T    HHHHH   I   AAAAA    Last date of change: 20 Sep 2013  |  | 
 |  |   P       Y      T    H   H   I   A   A                                      |  | 
 |  |   P       Y      T    H   H  III  A   A    Now is 20 Sep 2013 at 16:05:50    |  | 
 |  |                                                                              |  | 
 |  |   Torbjorn Sjostrand;  Department of Astronomy and Theoretical Physics,      |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      phone: + 46 - 46 - 222 48 16; e-mail: torbjorn@thep.lu.se               |  | 
 |  |   Jesper Roy Christiansen;  Department of Astronomy and Theoretical Physics, |  | 
 |  |      Lund University, Solvegatan 14A, SE-223 62 Lund, Sweden;                |  | 
 |  |      e-mail: Jesper.Roy.Christiansen@thep.lu.se                              |  | 
 |  |   Nishita Desai;  Department of Physics and Astronomy, University College    |  | 
 |  |      London, Gower Street, London, WC1E 6BT, United Kingdom;                 |  | 
 |  |      e-mail: Nishita.Desai@cern.ch                                           |  | 
 |  |   Philip Ilten;  School of Physics, Uniiversity College Dublin,              |  | 
 |  |      Belfield, Dublin 4, Ireland;                                            |  | 
 |  |      e-mail: philten@cern.ch                                                 |  | 
 |  |   Stephen Mrenna;  Computing Division, Simulations Group,                    |  | 
 |  |      Fermi National Accelerator Laboratory, MS 234, Batavia, IL 60510, USA;  |  | 
 |  |      phone: + 1 - 630 - 840 - 2556; e-mail: mrenna@fnal.gov                  |  | 
 |  |   Stefan Prestel;  Theory Group, DESY,                                       |  | 
 |  |      Notkestrasse 85, D-22607 Hamburg, Germany;                              |  | 
 |  |      phone: + 49 - 40 - 8998-4250; e-mail: stefan.prestel@thep.lu.se         |  | 
 |  |   Peter Skands;  Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland;  |  | 
 |  |      phone: + 41 - 22 - 767 2447; e-mail: peter.skands@cern.ch               |  | 
 |  |   Stefan Ask; former author; e-mail: ask.stefan@gmail.com                    |  | 
 |  |   Richard Corke; former author; e-mail: r.corke@errno.net                    |  | 
 |  |                                                                              |  | 
 |  |   The main program reference is the 'Brief Introduction to PYTHIA 8.1',      |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, Comput. Phys. Comm. 178 (2008) 85   |  | 
 |  |   [arXiv:0710.3820]                                                          |  | 
 |  |                                                                              |  | 
 |  |   The main physics reference is the 'PYTHIA 6.4 Physics and Manual',         |  | 
 |  |   T. Sjostrand, S. Mrenna and P. Skands, JHEP05 (2006) 026 [hep-ph/0603175]. |  | 
 |  |                                                                              |  | 
 |  |   An archive of program versions and documentation is found on the web:      |  | 
 |  |   http://www.thep.lu.se/~torbjorn/Pythia.html                                |  | 
 |  |                                                                              |  | 
 |  |   This program is released under the GNU General Public Licence version 2.   |  | 
 |  |   Please respect the MCnet Guidelines for Event Generator Authors and Users. |  | 
 |  |                                                                              |  | 
 |  |   Disclaimer: this program comes without any guarantees.                     |  | 
 |  |   Beware of errors and use common sense when interpreting results.           |  | 
 |  |                                                                              |  | 
 |  |   Copyright (C) 2013 Torbjorn Sjostrand                                      |  | 
 |  |                                                                              |  | 
 |  |                                                                              |  | 
 |  *------------------------------------------------------------------------------*  | 
 |                                                                                    | 
 *------------------------------------------------------------------------------------* 


 *-------  PYTHIA Process Initialization  --------------------------*
 |                                                                  |
 | We collide p+ with p+ at a CM energy of 1.400e+04 GeV            |
 |                                                                  |
 |------------------------------------------------------------------|
 |                                                    |             |
 | Subprocess                                    Code |   Estimated |
 |                                                    |    max (mb) |
 |                                                    |             |
 |------------------------------------------------------------------|
 |                                                    |             |
 | g g -> g g                                     111 |   5.045e-03 |
 | g g -> q qbar (uds)                            112 |   7.366e-05 |
 | q g -> q g                                     113 |   7.288e-03 |
 | q q(bar)' -> q q(bar)'                         114 |   9.156e-04 |
 | q qbar -> g g                                  115 |   6.857e-06 |
 | q qbar -> q' qbar' (uds)                       116 |   3.497e-06 |
 | g g -> c cbar                                  121 |   2.454e-05 |
 | q qbar -> c cbar                               122 |   1.165e-06 |
 | g g -> b bbar                                  123 |   2.443e-05 |
 | q qbar -> b bbar                               124 |   1.163e-06 |
 |                                                                  |
 *-------  End PYTHIA Process Initialization -----------------------*

 *-------  PYTHIA Multiparton Interactions Initialization  ---------* 
 |                                                                  | 
 |                   sigmaNonDiffractive =   57.54 mb               | 
 |                                                                  | 
 |    pT0 =  3.08 gives sigmaInteraction =  271.14 mb: accepted     | 
 |                                                                  | 
 *-------  End PYTHIA Multiparton Interactions Initialization  -----* 

 *-------  PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings (changes only)  --------------------------------* 
 |                                                                                                                 | 
 | Name                                          |                      Now |      Default         Min         Max | 
 |                                               |                          |                                      | 
 | BeamRemnants:reconnectRange                   |                  1.50000 |     10.00000         0.0    10.00000 | 
 | HardQCD:all                                   |                       on |          off                         | 
 | MultipartonInteractions:alphaSvalue           |                  0.13500 |      0.12700   0.0600000     0.25000 | 
 | MultipartonInteractions:bProfile              |                        3 |            1           0           4 | 
 | MultipartonInteractions:ecmPow                |                  0.19000 |      0.24000         0.0     0.50000 | 
 | MultipartonInteractions:expPow                |                  2.00000 |      1.00000     0.40000    10.00000 | 
 | MultipartonInteractions:pT0Ref                |                  2.08500 |      2.15000     0.50000    10.00000 | 
 | Next:numberShowEvent                          |                        0 |            1           0             | 
 | Next:numberShowInfo                           |                        0 |            1           0             | 
 | Next:numberShowProcess                        |                        0 |            1           0             | 
 | PDF:pSet                                      |                        8 |            2           1          16 | 
 | PhaseSpace:pTHatMin                           |                100.00000 |          0.0         0.0             | 
 | SigmaDiffractive:dampen                       |                       on |          off                         | 
 | SigmaDiffractive:maxAX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXB                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaDiffractive:maxXX                        |                 65.00000 |     15.00000         0.0             | 
 | SigmaProcess:alphaSvalue                      |                  0.13500 |      0.12650   0.0600000     0.25000 | 
 | SigmaTotal:zeroAXB                            |                       on |          off                         | 
 | SpaceShower:rapidityOrder                     |                       on |          off                         | 
 |                                                                                                                 | 
 *-------  End PYTHIA Flag + Mode + Parm + Word + MVec + PVec Settings  -------------------------------------------* 

 --------  PYTHIA Particle Data Table (changed only)  ------------------------------------------------------------------------------
 
      id   name            antiName         spn chg col      m0        mWidth      mMin       mMax       tau0    res dec ext vis wid
             no onMode   bRatio   meMode     products 

 no particle data has been changed from its default value 

 --------  End PYTHIA Particle Data Table  -----------------------------------------------------------------------------------------


 --------  PYTHIA Info Listing  ---------------------------------------- 
 
 Beam A: id =   2212, pz =  7.000e+03, e =  7.000e+03, m =  9.383e-01.
 Beam B: id =   2212, pz = -7.000e+03, e =  7.000e+03, m =  9.383e-01.

 In 1: id =   21, x =  1.695e-02, pdf =  5.545e+00 at Q2 =  1.210e+04.
 In 2: id =   21, x =  2.642e-02, pdf =  3.742e+00 at same Q2.

 Subprocess g g -> g g with code 111 is 2 -> 2.
 It has sHat =  8.781e+04,    tHat = -7.331e+04,    uHat = -1.450e+04,
       pTHat =  1.100e+02,   m3Hat =  0.000e+00,   m4Hat =  0.000e+00,
    thetaHat =  2.305e+00,  phiHat =  7.739e-01.
     alphaEM =  7.834e-03,  alphaS =  1.310e-01    at Q2 =  1.210e+04.

 Impact parameter b =  3.992e-01 gives enhancement factor =  2.738e+00.
 Max pT scale for MPI =  1.100e+02, ISR =  1.100e+02, FSR =  1.100e+02.
 Number of MPI =    14, ISR =    29, FSRproc =   301, FSRreson =     0.

 --------  End PYTHIA Info Listing  ------------------------------------

 --------  PYTHIA Event Listing  (hard process)  -----------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0     3     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0     4     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     1     0     5     6   102   101      0.000      0.000    118.684    118.684      0.000
     4        21   (g)                -21     2     0     5     6   104   103      0.000      0.000   -184.958    184.958      0.000
     5        21   g                   23     3     4     0     0   104   101     78.679     76.889   -134.832    174.017      0.000
     6        21   g                   23     3     4     0     0   102   103    -78.679    -76.889     68.559    129.625      0.000
                                   Charge sum:  0.000           Momentum sum:      0.000      0.000    -66.273    303.642    296.321

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (complete event)  ---------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
     0        90   (system)           -11     0     0     0     0     0     0      0.000      0.000      0.000  14000.000  14000.000
     1      2212   (p+)               -12     0     0  1212     0     0     0      0.000      0.000   7000.000   7000.000      0.938
     2      2212   (p+)               -12     0     0  1213     0     0     0      0.000      0.000  -7000.000   7000.000      0.938
     3        21   (g)                -21     7     0     5     6   102   101      0.000      0.000    118.684    118.684      0.000
     4        21   (g)                -21     8     8     5     6   104   103      0.000      0.000   -184.958    184.958      0.000
     5        21   (g)                -23     3     4     9     9   104   101     78.679     76.889   -134.832    174.017      0.000
     6        21   (g)                -23     3     4    10    10   102   103    -78.679    -76.889     68.559    129.625      0.000
     7        21   (g)                -41    14    14    11     3   102   105      0.000      0.000    157.862    157.862      0.000
     8        21   (g)                -42    16     0     4     4   104   103     -0.000      0.000   -184.958    184.958      0.000
     9        21   (g)                -44     5     5    17    17   104   101     82.514     71.305   -113.068    157.090      0.000
    10        21   (g)                -44     6     6    12    13   102   103    -59.283   -105.133     78.609    144.038      0.000
    11        21   (g)                -43     7     0    19    19   101   105    -23.231     33.829      7.363     41.692      0.000
    12        21   (g)                -51    10     0    18    18   106   103    -60.827   -105.645     80.967    146.344      0.000
    13        21   (g)                -51    10     0    20    20   102   106      1.544      0.512     25.376     25.429      0.000
    14        21   (g)                -53    15    15     7     7   102   105      0.000      0.000    185.597    185.597      0.000
    15        21   (g)                -42    25    25    14    14   102   105      0.000      0.000    185.597    185.597      0.000
    16        21   (g)                -41    26     0    21     8   107   103     -0.000     -0.000   -203.631    203.631      0.000
    17        21   (g)                -44     9     9    27    27   104   101     77.194     60.569   -121.942    156.517      0.000
    18        21   (g)                -44    12    12    24    24   106   103    -62.114   -108.243     81.872    149.258      0.000
    19        21   (g)                -44    11    11    29    29   101   105    -23.907     32.464      5.277     40.661      0.000
    20        21   (g)                -44    13    13    22    23   102   106      1.543      0.510     24.569     24.623      0.000
    21        21   (g)                -43    16     0    31    31   107   104      7.284     14.700     -7.810     18.170      0.000
    22        21   (g)                -51    20     0    30    30   102   108     -4.613      4.813     18.967     20.105      0.000
    23        21   (g)                -51    20     0    32    32   108   106     -9.655    -31.854     26.441     42.509      0.000
    24        21   (g)                -52    18    18    28    28   106   103    -46.304    -80.692     61.033    111.267      0.000
    25        21   (g)                -42    62     0    15    15   102   105      0.000      0.000    185.597    185.597      0.000
    26         2   (u)                -41    63    63    33    16   107     0     -0.000     -0.000   -648.985    648.985      0.000
    27        21   (g)                -44    17    17    39    39   104   101     85.991     61.635   -119.389    159.521      0.000
    28        21   (g)                -44    24    24    36    36   106   103    -44.717    -80.500     59.109    109.424      0.000
    29        21   (g)                -44    19    19    37    38   101   105    -22.789     32.600      4.599     40.040      0.000
    30        21   (g)                -44    22    22    67    67   102   108     -4.577      4.817     18.808     19.948      0.000
    31        21   (g)                -44    21    21    68    68   107   104      8.104     14.800     -7.541     18.482      0.000
    32        21   (g)                -44    23    23    69    69   108   106     -9.147    -31.792     25.954     42.048      0.000
    33         2   (u)                -43    26     0    34    35   103     0    -12.866     -1.560   -444.929    445.118      0.330
    34         2   (u)                -51    33     0    70    70   109     0    -20.645     -5.357   -427.313    427.845      0.330
    35        21   (g)                -51    33     0    71    71   103   109      7.237      2.821    -16.900     18.600      0.000
    36        21   (g)                -52    28    28    65    65   106   103    -44.175    -79.524     58.393    108.098      0.000
    37        21   (g)                -51    29     0    66    66   110   105    -19.419     14.316      2.648     24.270      0.000
    38        21   (g)                -51    29     0    72    72   101   110     -1.103     19.909     -1.196     19.975      0.000
    39        21   (g)                -52    27    27    64    64   104   101     83.725     60.011   -116.242    155.317      0.000
    40         1   (d)                -31    53    53    42    43   111     0      0.000      0.000     83.571     83.571      0.000
    41        21   (g)                -31    54     0    42    43   112   113      0.000      0.000    -10.026     10.026      0.000
    42         1   (d)                -33    40    41    55    55   112     0      6.229      5.692     81.539     81.975      0.330
    43        21   (g)                -33    40    41    56    56   111   113     -6.229     -5.692     -7.993     11.623      0.000
    44        21   (g)                -31    48    48    46    47   115   114      0.000      0.000      7.145      7.145      0.000
    45        21   (g)                -31    49     0    46    47   116   115      0.000      0.000   -103.394    103.394      0.000
    46        21   (g)                -33    44    45    50    50   117   114     -7.645     -1.592      4.815      9.174      0.000
    47        21   (g)                -33    44    45    51    51   116   117      7.645      1.592   -101.064    101.365      0.000
    48        21   (g)                -42   355   355    44    44   115   114      0.000     -0.000      7.145      7.145      0.000
    49        21   (g)                -41   366     0    52    45   118   115      0.000      0.000   -204.282    204.282      0.000
    50        21   (g)                -44    46    46   102   102   117   114     -7.756     -1.632      4.823      9.278      0.000
    51        21   (g)                -44    47    47   100   101   116   117      2.484     -0.263   -103.426    103.457      0.000
    52        21   (g)                -43    49     0   231   231   118   116      5.272      1.895    -98.533     98.692      0.000
    53         1   (d)                -42   296     0    40    40   111     0     -0.000      0.000     83.571     83.571      0.000
    54        21   (g)                -41   138   138    57    41   119   113      0.000     -0.000    -22.925     22.925      0.000
    55         1   (d)                -44    42    42    94    95   112     0      6.117      5.727     79.171     79.614      0.330
    56        21   (g)                -44    43    43   136   137   111   113    -11.266     -4.093     -6.356     13.568      0.000
    57        21   (g)                -43    54     0    96    96   119   112      5.149     -1.634    -12.170     13.315      0.000
    58        21   (g)                -31   506   506    60    61   121   120      0.000      0.000     60.285     60.285      0.000
    59        21   (g)                -31   441   441    60    61   123   122      0.000      0.000     -0.476      0.476      0.000
    60        21   (g)                -33    58    59   504   505   123   120      3.895      3.567     24.915     25.468      0.000
    61        21   (g)                -33    58    59   439   440   121   122     -3.895     -3.567     34.895     35.292      0.000
    62        21   (g)                -41   143     0    73    25   102   124      0.000      0.000    446.669    446.669      0.000
    63         2   (u)                -42   144   144    26    26   107     0     -0.000      0.000   -648.985    648.985      0.000
    64        21   (g)                -44    39    39   135   135   104   101     83.996     59.529   -116.072    155.150      0.000
    65        21   (g)                -44    36    36    99    99   106   103    -43.021    -81.575     57.714    108.794      0.000
    66        21   (g)                -44    37    37   147   147   110   105    -19.232     13.985      2.958     23.962      0.000
    67        21   (g)                -44    30    30    76    76   102   108     -4.308      4.340     18.897     19.862      0.000
    68        21   (g)                -44    31    31   149   149   107   104      8.180     14.665     -7.414     18.356      0.000
    69        21   (g)                -44    32    32    74    75   108   106     -8.676    -32.630     25.623     42.385      0.000
    70         2   (u)                -44    34    34   123   123   109     0    -20.641     -5.363   -427.194    427.726      0.330
    71        21   (g)                -44    35    35    97    98   103   109      7.249      2.800    -16.914     18.614      0.000
    72        21   (g)                -44    38    38   133   134   101   110     -0.973     19.677     -0.943     19.724      0.000
    73        21   (g)                -43    62     0   154   154   105   124     -2.573      4.572    261.028    261.080      0.000
    74        21   (g)                -51    69     0   150   150   125   106     -6.990    -19.697     10.880     23.563      0.000
    75        21   (g)                -51    69     0   155   155   108   125     -2.182    -12.433     16.917     21.108      0.000
    76        21   (g)                -52    67    67   148   148   102   108     -3.812      3.840     16.723     17.577      0.000
    77        21   (g)                -31    81     0    79    80   127   126      0.000      0.000     82.106     82.106      0.000
    78        21   (g)                -31    82    82    79    80   126   128      0.000      0.000     -1.914      1.914      0.000
    79        21   (g)                -33    77    78    83    83   129   128     -4.305     -1.464      0.946      4.644      0.000
    80        21   (g)                -33    77    78    84    84   127   129      4.305      1.464     79.246     79.377      0.000
    81        21   (g)                -41   222   222    85    77   130   126      0.000     -0.000    207.996    207.996      0.000
    82        21   (g)                -42   223     0    78    78   126   128     -0.000     -0.000     -1.914      1.914      0.000
    83        21   (g)                -44    79    79   224   224   129   128     -4.170     -1.436      1.252      4.585      0.000
    84        21   (g)                -44    80    80   105   105   127   129      8.128      2.244     82.599     83.028      0.000
    85        21   (g)                -43    81     0   103   104   130   127     -3.958     -0.808    122.231    122.297      0.000
    86        21   (g)                -31   128     0    88    89   131   132      0.000      0.000     29.206     29.206      0.000
    87        21   (g)                -31   129   129    88    89   133   131      0.000      0.000     -0.486      0.486      0.000
    88        21   (g)                -33    86    87   130   130   133   134      3.429      1.436     11.937     12.502      0.000
    89        21   (g)                -33    86    87   131   131   134   132     -3.429     -1.436     16.784     17.190      0.000
    90        21   (g)                -31   106     0    92    93   135   136      0.000      0.000     21.355     21.355      0.000
    91        21   (g)                -31   107   107    92    93   136   137      0.000      0.000     -7.709      7.709      0.000
    92        21   (g)                -33    90    91   108   108   135   138     -1.872      2.845     20.834     21.111      0.000
    93        21   (g)                -33    90    91   109   109   138   137      1.872     -2.845     -7.187      7.953      0.000
    94         1   (d)                -51    55     0   298   298   139     0      1.947      5.431     66.681     66.931      0.330
    95        21   (g)                -51    55     0   301   301   112   139      4.278      0.262     12.234     12.963      0.000
    96        21   (g)                -52    57    57   300   300   119   112      5.041     -1.600    -11.914     13.035      0.000
    97        21   (g)                -51    71     0   121   122   140   109      7.921     -0.519    -15.784     17.667      0.000
    98        21   (g)                -51    71     0   156   156   103   140     -1.294      2.140     -0.296      2.519      0.000
    99        21   (g)                -52    65    65   146   146   106   103    -42.399    -80.396     56.880    107.222      0.000
   100        21   (g)                -51    51     0   229   230   116   141     -2.943      0.191    -10.738     11.136      0.000
   101        21   (g)                -51    51     0   260   260   141   117      5.146     -0.514    -92.513     92.658      0.000
   102        21   (g)                -52    50    50   281   281   117   114     -7.475     -1.573      4.648      8.941      0.000
   103        21   (g)                -51    85     0   226   226   130   142      1.588     -1.545     89.464     89.491      0.000
   104        21   (g)                -51    85     0   227   227   142   127     -3.625      1.267     52.289     52.430      0.000
   105        21   (g)                -52    84    84   225   225   127   129      6.207      1.714     63.076     63.404      0.000
   106        21   (g)                -41   115   115   110    90   135   143     -0.000      0.000    852.131    852.131      0.000
   107        21   (g)                -42   116     0    91    91   136   137      0.000     -0.000     -7.709      7.709      0.000
   108        21   (g)                -44    92    92   117   117   135   138     -0.614      5.742     20.919     21.702      0.000
   109        21   (g)                -44    93    93   118   118   138   137      1.895     -2.792     -6.925      7.703      0.000
   110        21   (g)                -43   106     0   119   119   136   143     -1.281     -2.950    830.429    830.435      0.000
   111        21   (g)                -31   178     0   113   114   144   145      0.000      0.000      0.097      0.097      0.000
   112        21   (g)                -31   179   179   113   114   146   147      0.000      0.000   -961.777    961.777      0.000
   113        21   (g)                -33   111   112   180   180   144   147      2.534      1.955    -27.077     27.266      0.000
   114        21   (g)                -33   111   112   181   181   146   145     -2.534     -1.955   -934.603    934.608      0.000
   115        21   (g)                -42   245   245   106   106   135   143     -0.000      0.000    852.131    852.131      0.000
   116        21   (g)                -41   246     0   120   107   136   148      0.000     -0.000     -8.022      8.022      0.000
   117        21   (g)                -44   108   108   247   247   135   138     -0.546      5.624     19.824     20.613      0.000
   118        21   (g)                -44   109   109   248   248   138   137      3.181     -4.998     -6.192      8.570      0.000
   119        21   (g)                -44   110   110   249   249   136   143     -1.280     -2.951    823.263    823.269      0.000
   120        21   (g)                -43   116     0   250   250   137   148     -1.356      2.325      7.215      7.701      0.000
   121        21   (g)                -51    97     0   152   152   140   149      2.722      1.751     -3.730      4.938      0.000
   122        21   (g)                -51    97     0   157   157   149   109      4.791     -2.376    -20.509     21.195      0.000
   123         2   (u)                -52    70    70   151   151   109     0    -20.233     -5.257   -418.739    419.261      0.330
   124        21   (g)                -31  1522  1522   126   127   150   151      0.000      0.000     27.147     27.147      0.000
   125        21   (g)                -31  1523  1523   126   127   151   152      0.000      0.000     -9.566      9.566      0.000
   126        21   (g)                -33   124   125   218   218   150   153      2.271     -2.031     26.816     26.988      0.000
   127        21   (g)                -33   124   125   216   217   153   152     -2.271      2.031     -9.235      9.725      0.000
   128         1   (d)                -41   160   160   132    86   131     0      0.000      0.000   1767.396   1767.396      0.000
   129        21   (g)                -42   161     0    87    87   133   131     -0.000     -0.000     -0.486      0.486      0.000
   130        21   (g)                -44    88    88   162   162   133   134      2.276      0.952     14.072     14.286      0.000
   131        21   (g)                -44    89    89   163   163   134   132     -5.031     -2.109     19.334     20.089      0.000
   132         1   (d)                -43   128     0   164   164   132     0      2.755      1.157   1733.504   1733.507      0.330
   133        21   (g)                -51    72     0   153   153   154   110     -2.340     16.488      0.126     16.654      0.000
   134        21   (g)                -51    72     0   158   158   101   154      4.683      5.539     -5.652      9.196      0.000
   135        21   (g)                -52    64    64   145   145   104   101     80.679     57.179   -111.489    149.025      0.000
   136        21   (g)                -51    56     0   299   299   111   155     -3.018     -4.088     -3.238      6.025      0.000
   137        21   (g)                -51    56     0   267   268   155   113     -8.249     -0.005     -5.476      9.901      0.000
   138        21   (g)                -53   269   269    54    54   119   113     -0.000     -0.000    -25.284     25.284      0.000
   139        21   (g)                -31   282     0   141   142   156   157      0.000      0.000    180.278    180.278      0.000
   140        21   (g)                -31   283   283   141   142   158   159      0.000      0.000     -0.173      0.173      0.000
   141        21   (g)                -33   139   140   284   284   156   159     -1.367     -2.450    168.083    168.107      0.000
   142        21   (g)                -33   139   140   285   285   158   157      1.367      2.450     12.022     12.345      0.000
   143         2   (u)                -41   587   587   159    62   102     0     -0.000     -0.000   1770.428   1770.428      0.000
   144         2   (u)                -42   237   237    63    63   107     0     -0.000      0.000   -648.985    648.985      0.000
   145        21   (g)                -44   135   135   198   199   104   101     80.771     57.108   -111.577    149.113      0.000
   146        21   (g)                -44    99    99   171   171   106   103    -41.997    -80.708     56.831    107.272      0.000
   147        21   (g)                -44    66    66   166   167   110   105    -19.166     13.933      3.032     23.889      0.000
   148        21   (g)                -44    76    76   406   406   102   108     -3.728      3.775     16.739     17.560      0.000
   149        21   (g)                -44    68    68   200   200   107   104      8.207     14.644     -7.406     18.348      0.000
   150        21   (g)                -44    74    74   669   670   125   106     -6.905    -19.763     10.860     23.584      0.000
   151         2   (u)                -44   123   123   465   466   109     0    -20.231     -5.258   -418.696    419.217      0.330
   152        21   (g)                -44   121   121   177   177   140   149      2.725      1.749     -3.733      4.941      0.000
   153        21   (g)                -44   133   133   168   168   154   110     -2.299     16.456      0.164     16.617      0.000
   154        21   (g)                -44    73    73   307   307   105   124     -1.294      3.578    261.042    261.070      0.000
   155        21   (g)                -44    75    75   404   405   108   125     -2.088    -12.506     16.899     21.126      0.000
   156        21   (g)                -44    98    98   169   170   103   140     -1.289      2.136     -0.289      2.511      0.000
   157        21   (g)                -44   122   122   175   176   149   109      4.792     -2.378    -20.525     21.211      0.000
   158        21   (g)                -44   134   134   183   184   101   154      4.692      5.533     -5.653      9.196      0.000
   159         2   (u)                -43   143     0   398   399   124     0     -2.189      1.702   1323.754   1323.757      0.330
   160         1   (d)                -42   190   190   128   128   131     0      0.000      0.000   1767.396   1767.396      0.000
   161        21   (g)                -41   191     0   165   129   133   160     -0.000     -0.000     -2.690      2.690      0.000
   162        21   (g)                -44   130   130   192   192   133   134      1.796      0.579      8.164      8.380      0.000
   163        21   (g)                -44   131   131   174   174   134   132     -6.721     -3.419     37.179     37.936      0.000
   164         1   (d)                -44   132   132   172   173   132     0      2.750      1.152   1720.704   1720.707      0.330
   165        21   (g)                -43   161     0   195   195   131   160      2.175      1.688     -1.343      3.063      0.000
   166        21   (g)                -51   147     0   305   306   161   105     -7.622      7.665     -1.304     10.888      0.000
   167        21   (g)                -51   147     0   564   565   110   161    -11.844      8.414      4.357     15.168      0.000
   168        21   (g)                -52   153   153   185   185   154   110     -1.999     14.310      0.142     14.450      0.000
   169        21   (g)                -51   156     0   444   444   162   140      0.321      1.719     -0.652      1.866      0.000
   170        21   (g)                -51   156     0   442   443   103   162     -5.179     -6.442      5.193      9.762      0.000
   171        21   (g)                -52   146   146   671   671   106   103    -38.428    -73.849     52.001     98.155      0.000
   172         1   (d)                -51   164     0   194   194   163     0      0.668     -0.689   1529.580   1529.580      0.330
   173        21   (g)                -51   164     0   196   196   132   163      1.942      1.770    191.896    191.914      0.000
   174        21   (g)                -52   163   163   193   193   134   132     -6.581     -3.348     36.407     37.149      0.000
   175        21   (g)                -51   157     0   467   467   164   109      3.028     -1.296    -18.244     18.539      0.000
   176        21   (g)                -51   157     0  1098  1099   149   164      3.567      0.076     -4.751      5.941      0.000
   177        21   (g)                -52   152   152  1103  1103   140   149      0.922      0.592     -1.263      1.672      0.000
   178        21   (g)                -41   221   221   182   111   165   145      0.000     -0.000     79.667     79.667      0.000
   179        21   (g)                -42   426   426   112   112   146   147     -0.000      0.000   -961.777    961.777      0.000
   180        21   (g)                -44   113   113   213   214   144   147      4.809      1.128    -63.578     63.770      0.000
   181        21   (g)                -44   114   114   219   220   146   145     -2.467     -1.979   -898.081    898.087      0.000
   182        21   (g)                -43   178     0   215   215   165   144     -2.341      0.851     79.549     79.588      0.000
   183        21   (g)                -51   158     0   584   584   101   166      2.937      0.925     -1.768      3.551      0.000
   184        21   (g)                -51   158     0   252   253   166   154      1.373      7.339     -3.858      8.404      0.000
   185        21   (g)                -52   168   168   254   254   154   110     -1.617     11.578      0.115     11.691      0.000
   186        21   (g)                -31   205     0   188   189   167   168      0.000      0.000     59.243     59.243      0.000
   187        -1   (dbar)             -31   206   206   188   189     0   167      0.000      0.000     -5.637      5.637      0.000
   188        21   (g)                -33   186   187   207   207   169   168      2.201     -0.528     58.989     59.032      0.000
   189        -1   (dbar)             -33   186   187   208   208     0   169     -2.201      0.528     -5.382      5.848      0.330
   190         1   (d)                -42  1076  1076   160   160   131     0     -0.000     -0.000   1767.396   1767.396      0.000
   191        21   (g)                -41   674   674   197   161   170   160      0.000      0.000    -47.532     47.532      0.000
   192        21   (g)                -44   162   162   276   277   133   134      1.752      0.500      7.607      7.822      0.000
   193        21   (g)                -44   174   174   212   212   134   132     -6.731     -3.620     39.015     39.757      0.000
   194         1   (d)                -44   172   172   275   275   163     0      0.668     -0.689   1529.266   1529.266      0.330
   195        21   (g)                -44   165   165   672   673   131   160      1.287      0.072     -2.015      2.392      0.000
   196        21   (g)                -44   173   173   210   211   132   163      1.939      1.763    190.803    190.821      0.000
   197        21   (g)                -43   191     0   401   402   170   133      1.085      1.973    -44.813     44.869      0.000
   198        21   (g)                -51   145     0   513   514   171   101     72.144     49.002    -96.645    130.178      0.000
   199        21   (g)                -51   145     0   257   257   104   171      9.021      8.808    -15.287     19.815      0.000
   200        21   (g)                -52   149   149   235   236   107   104      7.813     13.941     -7.051     17.468      0.000
   201        -2   (ubar)             -31   451   451   203   204     0   172      0.000      0.000      0.869      0.869      0.000
   202        21   (g)                -31   452     0   203   204   174   173      0.000      0.000    -31.151     31.151      0.000
   203        -2   (ubar)             -33   201   202   453   453     0   173      0.664      2.088     -0.653      2.311      0.330
   204        21   (g)                -33   201   202   454   454   174   172     -0.664     -2.088    -29.629     29.710      0.000
   205        21   (g)                -41   518   518   209   186   175   168      0.000     -0.000     70.006     70.006      0.000
   206        -1   (dbar)             -42  1550  1550   187   187     0   167     -0.000      0.000     -5.637      5.637      0.000
   207        21   (g)                -44   188   188   377   378   169   168      3.376      1.084     60.273     60.378      0.000
   208        -1   (dbar)             -44   189   189   379   379     0   169     -2.196      0.535     -5.240      5.716      0.330
   209        21   (g)                -43   205     0   516   517   175   167     -1.180     -1.619      9.336      9.549      0.000
   210        21   (g)                -51   196     0   273   274   176   163      1.264      3.080    115.548    115.596      0.000
   211        21   (g)                -51   196     0   232   233   132   176      0.260     -1.540     77.658     77.673      0.000
   212        21   (g)                -52   193   193   234   234   134   132     -6.316     -3.397     36.613     37.309      0.000
   213        21   (g)                -51   180     0   424   425   177   147      5.434     -0.290    -48.276     48.582      0.000
   214        21   (g)                -51   180     0   266   266   144   177     -0.628      1.420    -15.205     15.284      0.000
   215        21   (g)                -52   182   182   264   265   165   144     -2.338      0.849     79.452     79.491      0.000
   216        21   (g)                -51   127     0   289   289   178   152     -0.794      2.850     -8.722      9.210      0.000
   217        21   (g)                -51   127     0   263   263   153   178     -1.367     -0.917      0.790      1.826      0.000
   218        21   (g)                -52   126   126   261   262   150   153      2.161     -1.933     25.512     25.677      0.000
   219         3   (s)                -51   181     0  1504  1504   146     0     -1.188      0.799   -543.416    543.418      0.500
   220        -3   (sbar)             -51   181     0   768   769     0   145     -1.280     -2.778   -354.660    354.674      0.500
   221        21   (g)                -53   731   731   178   178   165   145      0.000     -0.000     79.672     79.672      0.000
   222        21   (g)                -42   470   470    81    81   130   126     -0.000     -0.000    207.996    207.996      0.000
   223        21   (g)                -41   292   292   228    82   179   128      0.000      0.000     -9.891      9.891      0.000
   224        21   (g)                -44    83    83   290   291   129   128     -5.801     -2.176      4.068      7.412      0.000
   225        21   (g)                -44   105   105   316   317   127   129      6.046      1.641     59.508     59.837      0.000
   226        21   (g)                -44   103   103   242   243   130   142      1.574     -1.551     88.741     88.768      0.000
   227        21   (g)                -44   104   104   244   244   142   127     -3.693      1.236     53.625     53.766      0.000
   228        21   (g)                -43   223     0   468   469   179   126      1.874      0.849     -7.838      8.103      0.000
   229        21   (g)                -51   100     0   258   259   180   141     -3.484      0.053    -20.183     20.482      0.000
   230        21   (g)                -51   100     0   371   371   116   180      1.648      0.536    -11.259     11.392      0.000
   231        21   (g)                -52    52    52   369   369   118   116      4.164      1.497    -77.829     77.954      0.000
   232        21   (g)                -51   211     0   642   643   181   176     -1.488     -3.045     72.607     72.686      0.000
   233        21   (g)                -51   211     0   563   563   132   181      0.661      0.920     11.352     11.408      0.000
   234        21   (g)                -52   212   212   278   278   134   132     -5.229     -2.813     30.312     30.888      0.000
   235        21   (g)                -51   200     0   255   256   182   104      8.107     13.385     -9.258     18.182      0.000
   236        21   (g)                -51   200     0   899   899   107   182     -0.294      0.557      0.614      0.879      0.000
   237         2   (u)                -53  1213  1213   144   144   107     0      0.000      0.000   -650.578    650.578      0.000
   238        21   (g)                -31   308     0   240   241   183   184      0.000      0.000      0.448      0.448      0.000
   239        21   (g)                -31   309   309   240   241   185   186      0.000      0.000    -10.166     10.166      0.000
   240        21   (g)                -33   238   239   310   310   183   186      1.947     -0.501     -6.633      6.931      0.000
   241        21   (g)                -33   238   239   311   311   185   184     -1.947      0.501     -3.085      3.682      0.000
   242        21   (g)                -51   226     0   450   450   130   187      0.520     -1.412    108.572    108.583      0.000
   243        21   (g)                -51   226     0   448   449   187   142     -0.475      0.373      2.378      2.454      0.000
   244        21   (g)                -52   227   227   620   620   142   127     -2.164      0.724     31.416     31.498      0.000
   245        21   (g)                -42  1472  1472   115   115   135   143      0.000     -0.000    852.131    852.131      0.000
   246        21   (g)                -41   905   905   251   116   188   148     -0.000      0.000     -8.382      8.382      0.000
   247        21   (g)                -44   117   117   359   360   135   138     -0.492      5.546     19.168     19.960      0.000
   248        21   (g)                -44   118   118   361   361   138   137      4.181     -6.457     -5.408      9.404      0.000
   249        21   (g)                -44   119   119   270   271   136   143     -1.280     -2.951    820.674    820.681      0.000
   250        21   (g)                -44   120   120   497   497   137   148     -1.323      2.277      6.872      7.359      0.000
   251        21   (g)                -43   246     0   272   272   188   136     -1.087      1.586      2.443      3.109      0.000
   252        21   (g)                -51   184     0   779   779   166   189     -0.932      6.464     -3.516      7.417      0.000
   253        21   (g)                -51   184     0   794   794   189   154      1.489      6.715     -0.284      6.884      0.000
   254        21   (g)                -52   185   185   566   566   154   110     -0.802      5.738      0.057      5.794      0.000
   255        21   (g)                -51   235     0   344   345   182   190      1.565      1.417     -0.260      2.127      0.000
   256        21   (g)                -51   235     0   346   346   190   104      9.120     14.484    -13.366     21.717      0.000
   257        21   (g)                -52   199   199   471   472   104   171      6.443      6.291    -10.919     14.153      0.000
   258        21   (g)                -51   229     0   368   368   180   191     -3.202      1.293    -28.821     29.027      0.000
   259        21   (g)                -51   229     0   372   372   191   141      0.732     -1.341     -9.594      9.715      0.000
   260        21   (g)                -52   101   101   279   280   141   117      4.132     -0.412    -74.281     74.397      0.000
   261        21   (g)                -51   218     0   648   649   150   192      1.239      0.694      3.470      3.750      0.000
   262        21   (g)                -51   218     0   383   384   192   153      0.513     -2.901     22.278     22.472      0.000
   263        21   (g)                -52   217   217   287   288   153   178     -0.959     -0.643      0.554      1.281      0.000
   264        21   (g)                -51   215     0   560   560   165   193     -1.964     -1.135     69.305     69.342      0.000
   265        21   (g)                -51   215     0   325   325   193   144     -0.378      1.993     10.047     10.250      0.000
   266        21   (g)                -52   214   214   323   324   144   177     -0.624      1.410    -15.105     15.183      0.000
   267        21   (g)                -51   137     0   302   302   155   194     -7.918      1.005     -7.431     10.905      0.000
   268        21   (g)                -51   137     0   303   303   194   113     -0.330     -1.011     -0.120      1.070      0.000
   269        21   (g)                -53   297   297   138   138   119   113     -0.000     -0.000    -27.359     27.359      0.000
   270        21   (g)                -51   249     0  1476  1476   195   143      0.938     -2.377    353.671    353.681      0.000
   271        21   (g)                -51   249     0   456   457   136   195     -2.232     -0.554    467.035    467.040      0.000
   272        21   (g)                -52   251   251   458   458   188   136     -1.073      1.566      2.412      3.069      0.000
   273        21   (g)                -51   210     0   644   644   176   196     -0.037      3.028    224.669    224.689      0.000
   274        21   (g)                -51   210     0   295   295   196   163      1.363     -0.012     33.659     33.686      0.000
   275         1   (d)                -52   194   194   293   294   163     0      0.605     -0.624   1386.487   1386.487      0.330
   276        21   (g)                -51   192     0   350   351   133   197      0.377      1.657      7.338      7.532      0.000
   277        21   (g)                -51   192     0   352   352   197   134     -0.398     -2.111     10.551     10.767      0.000
   278        21   (g)                -52   234   234   494   494   134   132     -3.455     -1.859     20.030     20.410      0.000
   279        21   (g)                -51   260     0   332   333   141   198      3.591      1.045    -71.183     71.281      0.000
   280        21   (g)                -51   260     0   334   334   198   117      0.345     -1.499     -2.977      3.351      0.000
   281        21   (g)                -52   102   102   353   354   117   114     -7.279     -1.532      4.526      8.707      0.000
   282        21   (g)                -41   525   525   286   139   156   199      0.000     -0.000    213.490    213.490      0.000
   283        21   (g)                -42   526     0   140   140   158   159      0.000      0.000     -0.173      0.173      0.000
   284        21   (g)                -44   141   141   527   527   156   159     -1.839     -2.462    196.652    196.676      0.000
   285        21   (g)                -44   142   142   528   528   158   157      1.333      2.449     14.118     14.390      0.000
   286        21   (g)                -43   282     0   529   529   157   199      0.506      0.013      2.547      2.597      0.000
   287        21   (g)                -51   263     0   385   385   153   200     -2.234     -0.450     -0.736      2.395      0.000
   288        21   (g)                -51   263     0   876   877   200   178      0.951      0.974     -2.280      2.655      0.000
   289        21   (g)                -52   216   216  1525  1525   178   152     -0.469      1.683     -5.152      5.440      0.000
   290        21   (g)                -51   224     0   318   318   129   201     -4.731     -2.356      4.299      6.813      0.000
   291        21   (g)                -51   224     0   329   330   201   128     -1.070      0.181     -1.413      1.782      0.000
   292        21   (g)                -53   616     0   223   223   179   128     -0.000     -0.000    -11.074     11.074      0.000
   293         1   (d)                -51   275     0   382   382   202     0     -0.627     -1.396   1096.679   1096.681      0.330
   294        21   (g)                -51   275     0   380   381   163   202      1.512      0.770    296.709    296.714      0.000
   295        21   (g)                -52   274   274   488   488   196   163      1.083     -0.009     26.757     26.779      0.000
   296         1   (d)                -41   732   732   304    53   203     0     -0.000      0.000    489.957    489.957      0.000
   297        21   (g)                -42   722   722   269   269   119   113     -0.000      0.000    -27.359     27.359      0.000
   298         1   (d)                -44    94    94   498   499   139     0      3.337      5.401     66.682     66.984      0.330
   299        21   (g)                -44   136   136   313   314   111   155     -2.989     -4.089     -3.205      5.994      0.000
   300        21   (g)                -44    96    96   326   327   119   112      5.053     -1.600    -11.961     13.083      0.000
   301        21   (g)                -44    95    95   328   328   112   139      4.540      0.257     12.193     13.014      0.000
   302        21   (g)                -44   267   267   315   315   155   194     -7.882      1.005     -7.344     10.820      0.000
   303        21   (g)                -44   268   268   720   721   194   113     -0.320     -1.011     -0.116      1.067      0.000
   304        21   (g)                -43   296     0   335   336   203   111     -1.739      0.037    406.350    406.354      0.000
   305        21   (g)                -51   166     0   432   432   161   204     -8.817      7.507     -0.330     11.585      0.000
   306        21   (g)                -51   166     0   430   431   204   105      1.178      0.205      2.434      2.712      0.000
   307        21   (g)                -52   154   154   400   400   105   124     -1.277      3.531    257.634    257.662      0.000
   308        21   (g)                -41   386   386   312   238   183   205     -0.000      0.000    478.777    478.777      0.000
   309        21   (g)                -42   387     0   239   239   185   186     -0.000      0.000    -10.166     10.166      0.000
   310        21   (g)                -44   240   240   388   388   183   186      2.121     -1.026     -7.918      8.261      0.000
   311        21   (g)                -44   241   241   389   389   185   184     -1.598     -0.551     -1.731      2.419      0.000
   312        21   (g)                -43   308     0   390   390   184   205     -0.524      1.577    478.260    478.263      0.000
   313        21   (g)                -51   299     0   337   337   111   206     -4.905     -2.098     -3.695      6.490      0.000
   314        21   (g)                -51   299     0   364   364   206   155     -0.044     -1.741     -1.337      2.195      0.000
   315        21   (g)                -52   302   302   738   738   155   194     -5.922      0.755     -5.517      8.129      0.000
   316        21   (g)                -51   225     0   578   578   127   207      3.340      0.628     18.313     18.626      0.000
   317        21   (g)                -51   225     0   338   339   207   129      2.567      0.943     41.321     41.412      0.000
   318        21   (g)                -52   290   290   331   331   129   201     -4.592     -2.287      4.172      6.612      0.000
   319        21   (g)                -31  1594  1594   321   322   210   209      0.000      0.000      1.191      1.191      0.000
   320        -2   (ubar)             -31  1595  1595   321   322     0   208      0.000      0.000     -2.274      2.274      0.000
   321        21   (g)                -33   319   320  1596  1596   210   208      0.484     -1.467      0.008      1.545      0.000
   322        -2   (ubar)             -33   319   320  1597  1597     0   209     -0.484      1.467     -1.091      1.920      0.330
   323        -3   (sbar)             -51   266     0  1506  1506     0   177     -0.237     -0.285    -12.035     12.051      0.500
   324         3   (s)                -51   266     0   358   358   144     0     -0.397      1.743     -2.826      3.382      0.500
   325        21   (g)                -52   265   265   356   357   193   144     -0.369      1.945      9.803     10.001      0.000
   326         1   (d)                -51   300     0   736   736   119     0      3.497     -0.811     -4.333      5.637      0.330
   327        -1   (dbar)             -51   300     0   349   349     0   112      1.629     -0.785     -7.432      7.656      0.330
   328        21   (g)                -52   301   301   347   348   112   139      4.467      0.253     11.997     12.804      0.000
   329        21   (g)                -51   291     0   623   623   211   128      0.259      0.725     -0.337      0.840      0.000
   330        21   (g)                -51   291     0   625   625   201   211     -2.920     -1.337      0.368      3.232      0.000
   331        21   (g)                -52   318   318   340   340   129   201     -3.001     -1.494      2.727      4.321      0.000
   332        21   (g)                -51   279     0   370   370   141   212      3.389     -0.411    -46.003     46.129      0.000
   333        21   (g)                -51   279     0   374   374   212   198      0.256      1.221    -25.647     25.677      0.000
   334        21   (g)                -52   280   280   373   373   198   117      0.291     -1.264     -2.510      2.825      0.000
   335        21   (g)                -51   304     0   659   659   203   213     -3.023     -0.156    375.833    375.846      0.000
   336        21   (g)                -51   304     0   491   491   213   111      1.267      0.186     30.504     30.531      0.000
   337        21   (g)                -52   313   313   362   363   111   206     -4.888     -2.090     -3.683      6.467      0.000
   338        21   (g)                -51   317     0   576   577   207   215      1.108      1.004     37.971     38.001      0.000
   339        21   (g)                -51   317     0   341   342   215   129      1.198     -0.190      3.587      3.786      0.000
   340        21   (g)                -52   331   331   343   343   129   201     -2.740     -1.365      2.490      3.946      0.000
   341        21   (g)                -51   339     0   626   626   215   216     -0.106     -0.025      4.697      4.698      0.000
   342        21   (g)                -51   339     0   531   532   216   129      0.144     -0.743     -0.056      0.759      0.000
   343        21   (g)                -52   340   340   533   533   129   201     -1.581     -0.787      1.436      2.276      0.000
   344        21   (g)                -51   255     0   407   408   182   217      1.844      3.067     -0.863      3.681      0.000
   345        21   (g)                -51   255     0   409   409   217   190      4.217      5.490     -5.985      9.151      0.000
   346        21   (g)                -52   256   256   473   473   190   104      4.625      7.345     -6.778     11.012      0.000
   347        21   (g)                -51   328     0   476   476   218   139      5.033     -0.421     11.320     12.395      0.000
   348        21   (g)                -51   328     0   474   475   112   218     -0.475      0.630      0.266      0.833      0.000
   349        -1   (dbar)             -52   327   327   742   742     0   112      1.539     -0.741     -7.020      7.232      0.330
   350         2   (u)                -51   276     0   403   403   133     0     -0.909      1.037      5.158      5.350      0.330
   351        -2   (ubar)             -51   276     0   902   902     0   197      1.103     -0.349      7.026      7.128      0.330
   352        21   (g)                -52   277   277   492   493   197   134     -0.215     -1.141      5.704      5.821      0.000
   353        21   (g)                -51   281     0   367   367   117   219     -3.674     -0.865      4.321      5.738      0.000
   354        21   (g)                -51   281     0   375   375   219   114     -3.605     -0.666      1.048      3.813      0.000
   355        21   (g)                -53   365   365    48    48   115   114      0.000      0.000      7.989      7.989      0.000
   356        21   (g)                -51   325     0   558   559   193   220      0.928      1.481      7.454      7.657      0.000
   357        21   (g)                -51   325     0  1510  1510   220   144     -1.326      0.589      2.141      2.586      0.000
   358         3   (s)                -52   324   324  1509  1509   144     0     -0.368      1.618     -2.618      3.140      0.500
   359         1   (d)                -51   247     0  1474  1474   135     0     -0.856      0.129      3.787      3.899      0.330
   360        -1   (dbar)             -51   247     0   675   676     0   138      0.428      5.318     15.298     16.205      0.330
   361        21   (g)                -52   248   248   495   496   138   137      4.117     -6.358     -5.326      9.260      0.000
   362        21   (g)                -51   337     0   489   490   111   221     -0.986     -1.928     -1.123      2.440      0.000
   363        21   (g)                -51   337     0   501   502   221   206     -3.926     -1.140     -3.310      5.261      0.000
   364        21   (g)                -52   314   314   503   503   206   155     -0.019     -0.763     -0.586      0.962      0.000
   365        21   (g)                -42   410   410   355   355   115   114     -0.000      0.000      7.989      7.989      0.000
   366        21   (g)                -41   411     0   376    49   222   115      0.000     -0.000   -230.327    230.327      0.000
   367        21   (g)                -44   353   353   412   412   117   219     -3.678     -0.865      4.321      5.740      0.000
   368        21   (g)                -44   258   258   413   413   180   191     -3.369      1.296    -28.868     29.093      0.000
   369        21   (g)                -44   231   231   414   414   118   116      3.712      1.504    -77.991     78.094      0.000
   370        21   (g)                -44   332   332   415   415   141   212      3.122     -0.407    -46.102     46.209      0.000
   371        21   (g)                -44   230   230   416   416   116   180      1.583      0.537    -11.286     11.409      0.000
   372        21   (g)                -44   259   259   417   417   191   141      0.676     -1.340     -9.615      9.731      0.000
   373        21   (g)                -44   334   334   394   394   198   117      0.276     -1.263     -2.516      2.829      0.000
   374        21   (g)                -44   333   333   392   393   212   198      0.107      1.223    -25.697     25.726      0.000
   375        21   (g)                -44   354   354   420   420   219   114     -3.613     -0.666      1.051      3.821      0.000
   376        21   (g)                -43   366     0   421   421   222   118      1.186     -0.019    -25.636     25.664      0.000
   377        21   (g)                -51   207     0   660   661   223   168      2.245      1.638     31.221     31.344      0.000
   378        21   (g)                -51   207     0   551   551   169   223      1.122     -0.552     29.031     29.058      0.000
   379        -1   (dbar)             -52   208   208   549   550     0   169     -2.187      0.532     -5.218      5.692      0.330
   380        21   (g)                -51   294     0   486   487   163   225     -0.518      0.630    253.187    253.188      0.000
   381        21   (g)                -51   294     0   639   640   225   202      1.798     -0.361    430.592    430.596      0.000
   382         1   (d)                -52   293   293   641   641   202     0     -0.395     -0.896    709.610    709.610      0.330
   383        21   (g)                -51   262     0   650   650   192   226     -0.486     -2.902     20.338     20.549      0.000
   384        21   (g)                -51   262     0   435   435   226   153      0.855     -0.028      1.893      2.078      0.000
   385        21   (g)                -52   287   287   433   434   153   200     -2.090     -0.421     -0.688      2.240      0.000
   386        21   (g)                -42   860   860   308   308   183   205      0.000     -0.000    478.777    478.777      0.000
   387        21   (g)                -41   716   716   391   309   185   227     -0.000      0.000    -26.011     26.011      0.000
   388        21   (g)                -44   310   310   858   859   183   186      1.395     -0.570     -8.020      8.161      0.000
   389        21   (g)                -44   311   311   397   397   185   184     -1.784     -0.434     -1.669      2.481      0.000
   390        21   (g)                -44   312   312   395   396   184   205     -0.524      1.577    478.281    478.284      0.000
   391        21   (g)                -43   387     0   714   715   186   227      0.913     -0.574    -15.825     15.862      0.000
   392        21   (g)                -51   374     0   419   419   212   228     -0.437      0.064    -21.254     21.258      0.000
   393        21   (g)                -51   374     0   422   422   228   198      0.615      0.836     -5.087      5.192      0.000
   394        21   (g)                -52   373   373   418   418   198   117      0.205     -0.940     -1.872      2.105      0.000
   395        21   (g)                -51   390     0   654   655   229   205      0.632      0.734    332.686    332.687      0.000
   396        21   (g)                -51   390     0   427   428   184   229     -1.159      0.842    145.593    145.600      0.000
   397        21   (g)                -52   389   389   429   429   185   184     -1.782     -0.433     -1.667      2.478      0.000
   398         2   (u)                -51   159     0   647   647   230     0     -1.558      0.840    335.576    335.581      0.330
   399        21   (g)                -51   159     0   438   438   124   230     -0.767      1.241   1015.803   1015.804      0.000
   400        21   (g)                -52   307   307   436   437   105   124     -1.140      3.152    230.008    230.033      0.000
   401        21   (g)                -51   197     0   699   700   170   231      1.950      2.074    -41.576     41.674      0.000
   402        21   (g)                -51   197     0   537   538   231   133     -0.879     -0.085     -3.157      3.278      0.000
   403         2   (u)                -52   350   350   539   539   133     0     -0.895      1.021      5.079      5.267      0.330
   404        21   (g)                -51   155     0   947   947   232   125     -1.756    -12.299     17.563     21.513      0.000
   405        21   (g)                -51   155     0   545   545   108   232     -0.546      0.010      0.297      0.622      0.000
   406        21   (g)                -52   148   148   543   544   102   108     -3.514      3.558     15.778     16.552      0.000
   407        21   (g)                -51   344     0   897   898   182   233      1.200      0.672     -0.217      1.393      0.000
   408        21   (g)                -51   344     0  1011  1012   233   217      2.960      5.410     -3.934      7.315      0.000
   409        21   (g)                -52   345   345  1238  1238   217   190      1.900      2.474     -2.697      4.124      0.000
   410        21   (g)                -42   591     0   365   365   115   114      0.000      0.000      7.989      7.989      0.000
   411        21   (g)                -41   592   592   423   366   234   115     -0.000     -0.000   -338.597    338.597      0.000
   412        21   (g)                -44   367   367   548   548   117   219     -3.681     -0.866      4.327      5.747      0.000
   413        21   (g)                -44   368   368   512   512   180   191     -3.489      1.248    -28.875     29.112      0.000
   414        21   (g)                -44   369   369   595   595   118   116      3.390      1.374    -78.034     78.120      0.000
   415        21   (g)                -44   370   370   596   596   141   212      2.932     -0.484    -46.128     46.224      0.000
   416        21   (g)                -44   371   371   542   542   116   180      1.536      0.518    -11.295     11.411      0.000
   417        21   (g)                -44   372   372   510   511   191   141      0.636     -1.357     -9.619      9.735      0.000
   418        21   (g)                -44   394   394   546   547   198   117      0.197     -0.943     -1.873      2.106      0.000
   419        21   (g)                -44   392   392   600   600   212   228     -0.525      0.028    -21.262     21.269      0.000
   420        21   (g)                -44   375   375   601   601   219   114     -3.618     -0.669      1.057      3.828      0.000
   421        21   (g)                -44   376   376   602   602   222   118      1.080     -0.062    -25.650     25.673      0.000
   422        21   (g)                -44   393   393   603   603   228   198      0.594      0.828     -5.092      5.192      0.000
   423        21   (g)                -43   411     0   604   604   234   222      0.949      0.384   -108.165    108.170      0.000
   424        21   (g)                -51   213     0  1503  1503   177   235      1.643     -1.096    -18.879     18.982      0.000
   425        21   (g)                -51   213     0   522   523   235   147      3.791      0.806    -36.952     37.155      0.000
   426        21   (g)                -53   524   524   179   179   146   147     -0.000      0.000   -969.332    969.332      0.000
   427        21   (g)                -51   396     0   656   656   236   229     -1.333      0.180    143.257    143.264      0.000
   428        21   (g)                -51   396     0   950   950   184   236      0.134      0.652      2.297      2.392      0.000
   429        21   (g)                -52   397   397   948   949   185   184     -1.741     -0.423     -1.629      2.422      0.000
   430        21   (g)                -51   306     0   445   446   237   105      1.050      0.198      2.577      2.790      0.000
   431        21   (g)                -51   306     0   447   447   204   237     -0.937      0.913     -0.183      1.320      0.000
   432        21   (g)                -52   305   305   704   704   161   204     -7.753      6.601     -0.290     10.186      0.000
   433        21   (g)                -51   385     0   728   728   238   200     -0.895     -0.084      0.950      1.308      0.000
   434        21   (g)                -51   385     0   590   590   153   238     -0.958     -0.345     -1.113      1.508      0.000
   435        21   (g)                -52   384   384   588   589   226   153      0.618     -0.021      1.369      1.502      0.000
   436        21   (g)                -51   400     0   459   460   105   239     -0.791      1.495     78.474     78.492      0.000
   437        21   (g)                -51   400     0   767   767   239   124     -0.441      1.805    272.686    272.692      0.000
   438        21   (g)                -52   399   399   645   646   124   230     -0.676      1.093    894.652    894.653      0.000
   439        21   (g)                -51    61     0   797   797   121   240     -2.701     -2.436     17.544     17.917      0.000
   440        21   (g)                -51    61     0   681   682   240   122     -1.194     -1.131     17.324     17.402      0.000
   441        21   (g)                -53   683   683    59    59   123   122      0.000      0.000     -0.502      0.502      0.000
   442        21   (g)                -51   170     0   809   809   103   241     -2.633     -3.431      3.852      5.792      0.000
   443        21   (g)                -51   170     0   464   464   241   162     -2.528     -2.916      1.304      4.074      0.000
   444        21   (g)                -52   169   169   462   463   162   140      0.303      1.624     -0.616      1.763      0.000
   445        21   (g)                -51   430     0   461   461   242   105      0.416     -0.642      0.431      0.878      0.000
   446        21   (g)                -51   430     0  1151  1151   237   242      0.282      1.183      2.078      2.408      0.000
   447        21   (g)                -52   431   431  1149  1150   204   237     -0.585      0.570     -0.114      0.824      0.000
   448        21   (g)                -51   243     0   482   482   243   142     -0.380      0.919      8.268      8.327      0.000
   449        21   (g)                -51   243     0   480   481   187   243      0.039     -0.913     22.336     22.355      0.000
   450        21   (g)                -52   242   242   536   536   130   187      0.385     -1.045     80.347     80.355      0.000
   451        -2   (ubar)             -42   684   684   201   201     0   172     -0.000     -0.000      0.869      0.869      0.000
   452        21   (g)                -41   685     0   455   202   244   173      0.000      0.000    -35.270     35.270      0.000
   453        -2   (ubar)             -44   203   203   686   686     0   173      0.671      2.118     -0.794      2.383      0.330
   454        21   (g)                -44   204   204   687   687   174   172     -0.534     -1.489    -31.780     31.819      0.000
   455        21   (g)                -43   452     0   688   688   244   174     -0.137     -0.629     -1.828      1.938      0.000
   456        -1   (dbar)             -51   271     0  1479  1479     0   195     -0.544     -1.041    182.704    182.708      0.330
   457         1   (d)                -51   271     0   477   478   136     0     -1.694      0.496    284.345    284.351      0.330
   458        21   (g)                -52   272   272   479   479   188   136     -1.066      1.556      2.397      3.050      0.000
   459        21   (g)                -51   436     0   765   766   245   239     -0.049      0.750      5.140      5.194      0.000
   460        21   (g)                -51   436     0   801   802   105   245     -0.701      0.683     73.376     73.382      0.000
   461        21   (g)                -52   445   445   803   803   242   105      0.376     -0.581      0.389      0.794      0.000
   462        21   (g)                -51   444     0   552   553   246   140      0.152      1.433     -0.996      1.752      0.000
   463        21   (g)                -51   444     0   554   554   162   246     -0.377     -0.418      0.652      0.861      0.000
   464        21   (g)                -52   443   443   954   955   241   162     -2.001     -2.307      1.032      3.224      0.000
   465         2   (u)                -51   151     0  1220  1220   247     0    -15.449     -4.890   -331.273    331.669      0.330
   466        21   (g)                -51   151     0   567   568   109   247     -4.743     -0.384    -87.655     87.785      0.000
   467        21   (g)                -52   175   175   569   569   164   109      2.990     -1.280    -18.011     18.303      0.000
   468         2   (u)                -51   228     0   621   621   179     0      1.190     -0.409     -3.338      3.582      0.330
   469        -2   (ubar)             -51   228     0   629   629     0   126      0.684      1.259     -4.391      4.630      0.330
   470        21   (g)                -53   615   615   222   222   130   126     -0.000     -0.000    208.105    208.105      0.000
   471        21   (g)                -51   257     0   515   515   248   171      3.353      4.957     -5.874      8.385      0.000
   472        21   (g)                -51   257     0   917   917   104   248      4.643      3.800     -7.320      9.465      0.000
   473        21   (g)                -52   346   346   915   916   190   104      3.072      4.879     -4.502      7.315      0.000
   474        21   (g)                -51   348     0   744   744   112   250      0.182     -0.691      1.160      1.362      0.000
   475        21   (g)                -51   348     0   519   520   250   218      0.256      1.244      1.161      1.721      0.000
   476        21   (g)                -52   347   347   500   500   218   139      4.119     -0.345      9.265     10.145      0.000
   477         1   (d)                -51   457     0   783   784   251     0     -2.202      0.954    268.431    268.442      0.330
   478        21   (g)                -51   457     0   483   484   136   251      0.479     -0.415     15.980     15.993      0.000
   479        21   (g)                -52   458   458   485   485   188   136     -1.037      1.514      2.331      2.967      0.000
   480        21   (g)                -51   449     0   534   535   187   252     -0.637      0.513     16.887     16.907      0.000
   481        21   (g)                -51   449     0   630   630   252   243      0.424     -0.815     10.941     10.979      0.000
   482        21   (g)                -52   448   448   622   622   243   142     -0.127      0.309      2.776      2.796      0.000
   483        21   (g)                -51   478     0   785   785   253   251      0.444      0.522     13.634     13.652      0.000
   484        21   (g)                -51   478     0   791   791   136   253     -0.125     -0.705      2.704      2.797      0.000
   485        21   (g)                -52   479   479   903   904   188   136     -0.877      1.281      1.973      2.510      0.000
   486        21   (g)                -51   380     0   666   667   254   225     -0.835      0.190     68.872     68.877      0.000
   487        21   (g)                -51   380     0   668   668   163   254      0.585      0.437    190.921    190.923      0.000
   488        21   (g)                -52   295   295   936   937   196   163      0.816     -0.007     20.151     20.167      0.000
   489        21   (g)                -51   362     0   570   571   256   221      0.005     -1.667     -1.024      1.956      0.000
   490        21   (g)                -51   362     0   572   572   111   256     -0.964     -0.258      0.562      1.145      0.000
   491        21   (g)                -52   336   336   581   581   213   111      1.240      0.182     29.843     29.869      0.000
   492        21   (g)                -51   352     0   900   901   197   257     -0.146     -1.044      5.343      5.446      0.000
   493        21   (g)                -51   352     0  1065  1066   257   134     -2.925     -1.633     16.911     17.240      0.000
   494        21   (g)                -52   278   278   561   562   134   132     -0.600     -0.323      3.480      3.546      0.000
   495        21   (g)                -51   361     0   677   677   138   258      3.365     -3.953     -3.033      6.012      0.000
   496        21   (g)                -51   361     0   507   508   258   137      0.737     -2.379     -2.214      3.332      0.000
   497        21   (g)                -52   250   250   509   509   137   148     -1.307      2.251      6.793      7.275      0.000
   498         1   (d)                -51   298     0   734   734   259     0      2.259      4.565     46.756     47.034      0.330
   499        21   (g)                -51   298     0   748   748   139   259      1.211      0.825     20.224     20.277      0.000
   500        21   (g)                -52   476   476   521   521   218   139      3.986     -0.334      8.966      9.818      0.000
   501        21   (g)                -51   363     0   745   745   221   260     -1.479     -1.456     -1.994      2.878      0.000
   502        21   (g)                -51   363     0   749   749   260   206     -2.460     -0.162     -1.682      2.985      0.000
   503        21   (g)                -52   364   364   741   741   206   155     -0.007     -0.285     -0.219      0.360      0.000
   504        21   (g)                -51    60     0  1388  1388   123   261      2.707      2.024     13.173     13.599      0.000
   505        21   (g)                -51    60     0  1391  1391   261   120      1.188      1.543     14.881     15.008      0.000
   506        21   (g)                -53   848   848    58    58   121   120     -0.000     -0.000     63.424     63.424      0.000
   507        21   (g)                -51   496     0   932   932   258   262      0.889     -2.622     -1.918      3.368      0.000
   508        21   (g)                -51   496     0   857   857   262   137     -0.260      0.429      0.269      0.569      0.000
   509        21   (g)                -52   497   497   855   856   137   148     -1.199      2.064      6.229      6.670      0.000
   510        21   (g)                -51   417     0   598   598   263   141      0.141     -1.271    -14.054     14.112      0.000
   511        21   (g)                -51   417     0   605   605   191   263     -0.044      0.107     -0.023      0.118      0.000
   512        21   (g)                -52   413   413   540   541   180   191     -2.950      1.055    -24.417     24.618      0.000
   513        21   (g)                -51   198     0   582   583   264   101     65.121     45.091    -88.035    118.423      0.000
   514        21   (g)                -51   198     0   555   556   171   264      7.217      4.200     -8.952     12.242      0.000
   515        21   (g)                -52   471   471   557   557   248   171      3.158      4.668     -5.532      7.898      0.000
   516        21   (g)                -51   209     0   771   772   266   167     -0.686     -1.568      7.116      7.319      0.000
   517        21   (g)                -51   209     0   773   773   175   266     -0.495     -0.051     12.886     12.896      0.000
   518        21   (g)                -53   662   662   205   205   175   168     -0.000     -0.000     80.672     80.672      0.000
   519        21   (g)                -51   475     0   746   746   250   267     -0.162      0.874      1.819      2.025      0.000
   520        21   (g)                -51   475     0   750   750   267   218      1.361      0.292      1.463      2.019      0.000
   521        21   (g)                -52   500   500   737   737   218   139      3.043     -0.255      6.845      7.495      0.000
   522        21   (g)                -51   425     0  1047  1048   235   268      3.051      0.196    -37.553     37.678      0.000
   523        21   (g)                -51   425     0  1049  1049   268   147      0.740      0.610     -5.825      5.903      0.000
   524        21   (g)                -53  1502  1502   426   426   146   147     -0.000     -0.000   -975.758    975.758      0.000
   525        21   (g)                -42  1193  1193   282   282   156   199      0.000     -0.000    213.490    213.490      0.000
   526         1   (d)                -41  1541  1541   530   283   158     0     -0.000      0.000     -0.303      0.303      0.000
   527        21   (g)                -44   284   284   987   988   156   159     -1.875     -2.425    193.860    193.884      0.000
   528        21   (g)                -44   285   285  1543  1543   158   157      0.923      2.861     16.276     16.552      0.000
   529        21   (g)                -44   286   286  1191  1192   157   199      0.431      0.088      1.900      1.950      0.000
   530         1   (d)                -43   526     0   989   989   159     0      0.521     -0.524      1.151      1.407      0.330
   531        21   (g)                -51   342     0   627   627   216   269     -0.296     -1.490      0.724      1.683      0.000
   532        21   (g)                -51   342     0   631   631   269   129     -0.894      0.083      0.432      0.996      0.000
   533        21   (g)                -52   343   343   617   617   129   201     -0.247     -0.123      0.224      0.356      0.000
   534        21   (g)                -51   480     0   609   610   270   252      0.563     -0.225     25.940     25.947      0.000
   535        21   (g)                -51   480     0   611   611   187   270     -1.005      0.208     31.687     31.704      0.000
   536        21   (g)                -52   450   450   619   619   130   187      0.190     -0.515     39.607     39.611      0.000
   537        21   (g)                -51   402     0   701   701   231   271     -1.117      0.423     -1.531      1.942      0.000
   538        21   (g)                -51   402     0   831   832   271   133      0.205     -0.471     -1.439      1.528      0.000
   539         2   (u)                -52   403   403   833   833   133     0     -0.863      0.983      4.893      5.075      0.330
   540        21   (g)                -51   512     0   594   594   272   191     -1.417      0.904    -19.528     19.600      0.000
   541        21   (g)                -51   512     0   606   606   180   272     -1.336      0.218     -6.340      6.483      0.000
   542        21   (g)                -52   416   416   597   597   116   180      1.338      0.452     -9.844      9.944      0.000
   543        21   (g)                -51   406     0   585   586   102   273     -3.797      3.514     15.884     16.706      0.000
   544        21   (g)                -51   406     0   612   613   273   108      0.071      0.048      0.009      0.087      0.000
   545        21   (g)                -52   405   405  1115  1115   108   232     -0.335      0.006      0.182      0.382      0.000
   546        21   (g)                -51   418     0   599   599   198   274     -0.209      0.318     -0.802      0.888      0.000
   547        21   (g)                -51   418     0   607   607   274   117      0.189     -1.313     -0.815      1.556      0.000
   548        21   (g)                -52   412   412   593   593   117   219     -3.464     -0.815      4.072      5.408      0.000
   549        -1   (dbar)             -51   379     0  1552  1552     0   275     -1.756      0.976     -3.151      3.752      0.330
   550        21   (g)                -51   379     0   819   820   275   169     -0.426     -0.445     -1.956      2.051      0.000
   551        21   (g)                -52   378   378   821   821   169   223      1.118     -0.549     28.920     28.947      0.000
   552        21   (g)                -51   462     0  1225  1225   277   140     -0.663      0.924     -0.732      1.352      0.000
   553        21   (g)                -51   462     0   828   829   246   277      0.664      0.341     -0.001      0.746      0.000
   554        21   (g)                -52   463   463   830   830   162   246     -0.225     -0.249      0.389      0.514      0.000
   555        21   (g)                -51   514     0   843   844   278   264      3.332      1.354     -3.596      5.086      0.000
   556        21   (g)                -51   514     0   845   845   171   278      4.683      4.024     -6.752      9.149      0.000
   557        21   (g)                -52   515   515  1095  1096   248   171      2.361      3.491     -4.136      5.905      0.000
   558        21   (g)                -51   356     0   759   760   279   220      0.555     -0.064      1.571      1.667      0.000
   559        21   (g)                -51   356     0   761   761   193   279      0.248      1.474     10.285     10.393      0.000
   560        21   (g)                -52   264   264   729   730   165   193     -1.840     -1.063     64.903     64.938      0.000
   561        21   (g)                -51   494     0  1432  1432   134   280     -0.145     -0.145      0.174      0.269      0.000
   562        21   (g)                -51   494     0  1179  1180   280   132     -0.011      0.440     10.930     10.939      0.000
   563        21   (g)                -52   233   233  1026  1027   132   181      0.217      0.302      3.728      3.747      0.000
   564        21   (g)                -51   167     0   573   574   281   161     -9.534      6.019      3.398     11.776      0.000
   565        21   (g)                -51   167     0   575   575   110   281     -2.359      2.746      0.963      3.746      0.000
   566        21   (g)                -52   254   254   873   874   154   110     -0.753      5.388      0.054      5.441      0.000
   567        21   (g)                -51   466     0   762   763   282   247     -4.289     -0.864    -85.205     85.317      0.000
   568        21   (g)                -51   466     0   764   764   109   282     -0.278      0.404     -3.515      3.549      0.000
   569        21   (g)                -52   467   467  1100  1100   164   109      2.813     -1.204    -16.947     17.221      0.000
   570        21   (g)                -51   489     0   735   735   283   221     -0.232     -1.983     -0.883      2.183      0.000
   571        21   (g)                -51   489     0   751   751   256   283     -0.226      0.193      0.128      0.323      0.000
   572        21   (g)                -52   490   490   579   580   111   256     -0.502     -0.134      0.292      0.596      0.000
   573        21   (g)                -51   564     0   702   703   284   161    -10.034      7.376      3.520     12.942      0.000
   574        21   (g)                -51   564     0  1188  1189   281   284     -0.842      0.205      0.426      0.965      0.000
   575        21   (g)                -52   565   565   951   952   110   281     -1.017      1.183      0.415      1.614      0.000
   576        21   (g)                -51   338     0   624   624   285   215     -0.212      0.259     11.217     11.222      0.000
   577        21   (g)                -51   338     0   633   633   207   285      1.739      0.824     29.051     29.115      0.000
   578        21   (g)                -52   316   316   618   618   127   207      2.921      0.549     16.016     16.290      0.000
   579        21   (g)                -51   572     0   747   747   286   256      0.077     -0.475      0.290      0.562      0.000
   580        21   (g)                -51   572     0   752   752   111   286     -0.407      0.366      4.140      4.176      0.000
   581        21   (g)                -52   491   491   657   658   213   111      1.068      0.156     25.705     25.728      0.000
   582        21   (g)                -51   513     0  1070  1070   264   287     63.219     43.676    -85.874    115.233      0.000
   583        21   (g)                -51   513     0  1064  1064   287   101      2.164      1.497     -2.318      3.506      0.000
   584        21   (g)                -52   183   183   777   778   101   166      2.676      0.843     -1.610      3.235      0.000
   585        21   (g)                -51   543     0   614   614   288   273     -3.164      3.825     16.047     16.797      0.000
   586        21   (g)                -51   543     0   971   971   102   288     -0.633     -0.311      3.465      3.536      0.000
   587         2   (u)                -53  1212  1212   143   143   102     0      0.000     -0.000   1774.055   1774.055      0.000
   588        21   (g)                -51   435     0   810   811   226   289     -0.171      0.165      1.192      1.215      0.000
   589        21   (g)                -51   435     0   812   812   289   153      0.570     -0.265     -0.079      0.633      0.000
   590        21   (g)                -52   434   434   726   727   153   238     -0.738     -0.266     -0.857      1.162      0.000
   591        21   (g)                -41  1351  1351   608   410   115   290      0.000      0.000      9.878      9.878      0.000
   592        21   (g)                -42  1352  1352   411   411   234   115     -0.000      0.000   -338.597    338.597      0.000
   593        21   (g)                -44   548   548   705   706   117   219     -3.705     -1.141      3.948      5.533      0.000
   594        21   (g)                -44   540   540   780   781   272   191     -1.419      0.902    -19.529     19.601      0.000
   595        21   (g)                -44   414   414   678   679   118   116      3.388      1.371    -77.884     77.969      0.000
   596        21   (g)                -44   415   415   663   664   141   212      2.929     -0.487    -46.060     46.156      0.000
   597        21   (g)                -44   542   542   680   680   116   180      1.336      0.448     -9.792      9.893      0.000
   598        21   (g)                -44   510   510   665   665   263   141      0.140     -1.273    -14.091     14.149      0.000
   599        21   (g)                -44   546   546  1359  1359   198   274     -0.211      0.315     -0.797      0.883      0.000
   600        21   (g)                -44   419   419   651   652   212   228     -0.525      0.028    -21.270     21.276      0.000
   601        21   (g)                -44   420   420   707   707   219   114     -3.742     -0.836      0.939      3.948      0.000
   602        21   (g)                -44   421   421  1362  1362   222   118      1.080     -0.063    -25.619     25.642      0.000
   603        21   (g)                -44   422   422   653   653   228   198      0.591      0.824     -5.047      5.148      0.000
   604        21   (g)                -44   423   423  1364  1364   234   222      0.949      0.384   -108.103    108.108      0.000
   605        21   (g)                -44   511   511   782   782   191   263     -0.047      0.103     -0.021      0.115      0.000
   606        21   (g)                -44   541   541   906   907   180   272     -1.340      0.213     -6.366      6.508      0.000
   607        21   (g)                -44   547   547   758   758   274   117      0.170     -1.338     -0.856      1.597      0.000
   608        21   (g)                -43   591     0   725   725   114   290      0.406      0.548      1.826      1.949      0.000
   609        21   (g)                -51   534     0   628   628   291   252      0.362      0.137      4.820      4.835      0.000
   610        21   (g)                -51   534     0   634   634   270   291     -0.536     -0.209     44.350     44.353      0.000
   611        21   (g)                -52   535   535   632   632   187   270     -0.268      0.055      8.458      8.462      0.000
   612        21   (g)                -51   544     0   837   838   292   108     -1.697      2.506      7.928      8.486      0.000
   613        21   (g)                -51   544     0   839   839   273   292     -0.360      0.116      2.877      2.902      0.000
   614        21   (g)                -52   585   585   969   970   288   273     -1.035      1.252      5.251      5.496      0.000
   615        21   (g)                -42  1396  1396   470   470   130   126      0.000      0.000    208.105    208.105      0.000
   616        21   (g)                -41   944   944   635   292   294   128     -0.000     -0.000   -232.500    232.500      0.000
   617        21   (g)                -44   533   533  1398  1398   129   201     -0.249     -0.126      0.232      0.363      0.000
   618        21   (g)                -44   578   578   636   637   127   207      2.917      0.543     15.952     16.226      0.000
   619        21   (g)                -44   536   536  1400  1400   130   187      0.190     -0.515     39.614     39.618      0.000
   620        21   (g)                -44   244   244   690   691   142   127     -2.165      0.722     31.433     31.516      0.000
   621         2   (u)                -44   468   468   974   974   179     0      1.072     -0.581     -3.345      3.576      0.330
   622        21   (g)                -44   482   482  1038  1039   243   142     -0.128      0.308      2.770      2.790      0.000
   623        21   (g)                -44   329   329   942   943   211   128      0.239      0.696     -0.358      0.819      0.000
   624        21   (g)                -44   576   576  1405  1405   285   215     -0.212      0.259     11.214     11.219      0.000
   625        21   (g)                -44   330   330  1059  1060   201   211     -2.968     -1.408      0.452      3.316      0.000
   626        21   (g)                -44   341   341   863   863   215   216     -0.106     -0.025      4.699      4.700      0.000
   627        21   (g)                -44   531   531   861   862   216   269     -0.313     -1.514      0.766      1.725      0.000
   628        21   (g)                -44   609   609  1409  1409   291   252      0.362      0.136      4.810      4.825      0.000
   629        -2   (ubar)             -44   469   469  1410  1410     0   126      0.531      1.035     -4.430      4.592      0.330
   630        21   (g)                -44   481   481  1040  1040   252   243      0.423     -0.816     10.953     10.992      0.000
   631        21   (g)                -44   532   532   879   880   269   129     -0.903      0.069      0.446      1.010      0.000
   632        21   (g)                -44   611   611  1413  1413   187   270     -0.268      0.055      8.460      8.465      0.000
   633        21   (g)                -44   577   577   638   638   207   285      1.738      0.822     29.000     29.063      0.000
   634        21   (g)                -44   610   610  1415  1415   270   291     -0.536     -0.209     44.362     44.366      0.000
   635        21   (g)                -43   616     0   972   973   294   179      0.376      0.549   -221.424    221.425      0.000
   636         2   (u)                -51   618     0   692   692   127     0      1.256     -0.150     11.391     11.466      0.330
   637        -2   (ubar)             -51   618     0  1417  1417     0   207      2.158      0.928     12.857     13.074      0.330
   638        21   (g)                -52   633   633  1414  1414   207   285      1.241      0.587     20.704     20.750      0.000
   639        21   (g)                -51   381     0  1079  1079   225   295      0.743      0.271    349.723    349.724      0.000
   640        21   (g)                -51   381     0  1124  1124   295   202      0.939     -0.853    254.453    254.456      0.000
   641         1   (d)                -52   382   382  1433  1433   202     0     -0.280     -0.675    536.026    536.026      0.330
   642        21   (g)                -51   232     0   962   962   181   296     -1.506     -2.594     56.373     56.453      0.000
   643        21   (g)                -51   232     0   888   889   296   176      0.016     -0.228     32.745     32.746      0.000
   644        21   (g)                -52   273   273   890   890   176   196     -0.034      2.805    208.158    208.177      0.000
   645        21   (g)                -51   438     0  1239  1239   124   297     -1.006      0.359    296.718    296.720      0.000
   646        21   (g)                -51   438     0   711   712   297   230     -0.238      1.026    705.487    705.488      0.000
   647         2   (u)                -52   398   398   713   713   230     0     -0.990      0.548    228.023    228.026      0.330
   648        21   (g)                -51   261     0  1524  1524   150   298     -0.000      0.020     -0.078      0.081      0.000
   649        21   (g)                -51   261     0   708   709   298   192      1.192      0.393      5.525      5.666      0.000
   650        21   (g)                -52   383   383   710   710   192   226     -0.439     -2.620     18.361     18.553      0.000
   651        21   (g)                -51   600     0  1360  1360   212   299      0.343      0.244     -2.318      2.356      0.000
   652        21   (g)                -51   600     0  1029  1030   299   228     -0.628      0.119    -21.003     21.012      0.000
   653        21   (g)                -52   603   603  1031  1031   228   198      0.351      0.489     -2.996      3.056      0.000
   654        21   (g)                -51   395     0  1211  1211   300   205     -0.531      0.540    122.909    122.911      0.000
   655        21   (g)                -51   395     0  1209  1210   229   300      0.726      0.254    256.742    256.744      0.000
   656        21   (g)                -52   427   427   968   968   236   229     -0.896      0.121     96.292     96.296      0.000
   657        21   (g)                -51   581     0   743   743   301   111      0.247      0.662     34.965     34.972      0.000
   658        21   (g)                -51   581     0   753   753   213   301      0.594     -0.517     18.884     18.901      0.000
   659        21   (g)                -52   335   335   740   740   203   213     -2.797     -0.144    347.690    347.701      0.000
   660        21   (g)                -51   377     0  1551  1551   223   302      1.163      0.083     17.217     17.256      0.000
   661        21   (g)                -51   377     0   804   805   302   168      1.082      1.556     21.326     21.410      0.000
   662        21   (g)                -53   806   806   518   518   175   168     -0.000     -0.000     87.994     87.994      0.000
   663        21   (g)                -51   596     0  1356  1356   303   212      2.460     -0.451    -30.648     30.750      0.000
   664        21   (g)                -51   596     0  1112  1112   141   303      0.511     -0.417    -19.626     19.637      0.000
   665        21   (g)                -52   598   598  1110  1111   263   141      0.098     -0.892     -9.876      9.917      0.000
   666        21   (g)                -51   486     0  1077  1078   304   225     -0.290     -0.387     98.545     98.546      0.000
   667        21   (g)                -51   486     0  1451  1451   254   304     -0.231      0.812     72.810     72.815      0.000
   668        21   (g)                -52   487   487  1119  1120   163   254      0.271      0.203     88.437     88.438      0.000
   669        21   (g)                -51   150     0   945   946   125   305     -3.234    -10.145      5.095     11.804      0.000
   670        21   (g)                -51   150     0   696   697   305   106     -5.405    -12.950      8.111     16.208      0.000
   671        21   (g)                -52   171   171   698   698   106   103    -36.694    -70.518     49.655     93.727      0.000
   672        21   (g)                -51   195     0  1074  1075   131   306      1.425      0.172     -4.222      4.459      0.000
   673        21   (g)                -51   195     0  1452  1452   306   160     -0.137     -0.100     -0.033      0.173      0.000
   674        21   (g)                -53  1430  1430   191   191   170   160     -0.000     -0.000    -49.772     49.772      0.000
   675        -1   (dbar)             -51   360     0   995   995     0   307     -0.287      3.391      8.992      9.621      0.330
   676        21   (g)                -51   360     0   717   718   307   138      0.732      1.908      6.291      6.614      0.000
   677        21   (g)                -52   495   495   719   719   138   258      3.348     -3.933     -3.018      5.982      0.000
   678        21   (g)                -51   595     0  1355  1355   118   308      3.461      1.266    -64.215     64.321      0.000
   679        21   (g)                -51   595     0  1094  1094   308   116      0.232      0.208    -15.896     15.899      0.000
   680        21   (g)                -52   597   597   908   908   116   180      1.032      0.346     -7.564      7.642      0.000
   681        21   (g)                -51   440     0   795   796   240   309     -0.865     -0.372     14.325     14.355      0.000
   682        21   (g)                -51   440     0  1392  1392   309   122     -0.329     -0.759      2.967      3.080      0.000
   683        21   (g)                -53  1387  1387   441   441   123   122      0.000      0.000     -0.535      0.535      0.000
   684        -2   (ubar)             -42   854   854   451   451     0   172     -0.000      0.000      0.869      0.869      0.000
   685        21   (g)                -41  1046  1046   689   452   244   310      0.000     -0.000    -38.756     38.756      0.000
   686        -2   (ubar)             -44   453   453   939   940     0   173      0.684      2.100     -0.886      2.402      0.330
   687        21   (g)                -44   454   454   695   695   174   172     -0.278     -1.859    -32.884     32.938      0.000
   688        21   (g)                -44   455   455   693   694   244   174     -0.122     -0.651     -1.892      2.005      0.000
   689        21   (g)                -43   685     0   941   941   173   310     -0.284      0.410     -2.225      2.280      0.000
   690        21   (g)                -51   620     0  1173  1174   142   311     -1.038     -0.225     11.121     11.171      0.000
   691        21   (g)                -51   620     0  1175  1175   311   127     -0.966      0.926     21.657     21.698      0.000
   692         2   (u)                -52   636   636  1399  1399   127     0      1.094     -0.130     10.046     10.112      0.330
   693        21   (g)                -51   688     0  1044  1045   244   312     -0.629     -1.095     -9.063      9.151      0.000
   694        21   (g)                -51   688     0  1569  1569   312   174      0.427     -0.093     -2.326      2.367      0.000
   695        21   (g)                -52   687   687   852   853   174   172     -0.198     -1.322    -23.387     23.425      0.000
   696        21   (g)                -51   670     0   986   986   305   313     -7.008    -15.471      9.497     19.459      0.000
   697        21   (g)                -51   670     0  1262  1262   313   106     -5.521    -11.169      8.254     14.945      0.000
   698        21   (g)                -52   671   671   807   808   106   103    -29.570    -56.827     40.014     75.530      0.000
   699         3   (s)                -51   401     0  1436  1436   170     0      0.870      1.399    -26.384     26.440      0.500
   700        -3   (sbar)             -51   401     0   926   926     0   231      1.032      0.693    -15.258     15.316      0.500
   701        21   (g)                -52   537   537   924   925   231   271     -1.069      0.405     -1.466      1.859      0.000
   702        21   (g)                -51   573     0   870   871   284   314    -10.524      8.216      3.350     13.766      0.000
   703        21   (g)                -51   573     0   864   865   314   161     -0.656      0.136      0.127      0.682      0.000
   704        21   (g)                -52   432   432   866   866   161   204     -6.607      5.625     -0.247      8.681      0.000
   705        21   (g)                -51   593     0   756   757   117   315     -4.334     -0.948      4.042      6.002      0.000
   706        21   (g)                -51   593     0   981   982   315   219     -0.334     -0.408      0.148      0.548      0.000
   707        21   (g)                -52   601   601   723   724   219   114     -2.779     -0.621      0.697      2.932      0.000
   708        21   (g)                -51   649     0  1532  1532   298   316      1.396     -0.167      6.671      6.818      0.000
   709        21   (g)                -51   649     0   867   868   316   192     -0.274      0.135      1.832      1.857      0.000
   710        21   (g)                -52   650   650   869   869   192   226     -0.368     -2.195     15.383     15.543      0.000
   711         3   (s)                -51   646     0  1260  1260   297     0     -0.472      0.387    425.723    425.724      0.500
   712        -3   (sbar)             -51   646     0  1264  1264     0   230     -0.215      0.845    352.306    352.307      0.500
   713         2   (u)                -52   647   647  1228  1228   230     0     -0.541      0.342    155.481    155.483      0.330
   714        21   (g)                -51   391     0   896   896   186   317     -0.264     -0.057     -3.655      3.665      0.000
   715        21   (g)                -51   391     0   894   895   317   227      1.178     -0.517    -30.942     30.968      0.000
   716        21   (g)                -53  1575  1575   387   387   185   227      0.000     -0.000    -44.782     44.782      0.000
   717        21   (g)                -51   676     0   993   994   307   318      0.639      0.424      3.263      3.352      0.000
   718        21   (g)                -51   676     0   822   823   318   138      0.129      1.441      2.996      3.327      0.000
   719        21   (g)                -52   677   677   824   824   138   258      3.312     -3.891     -2.986      5.918      0.000
   720        21   (g)                -51   303     0   739   739   194   319     -0.366     -1.186     -0.999      1.593      0.000
   721        21   (g)                -51   303     0   754   754   319   113      0.046      0.175      0.133      0.224      0.000
   722        21   (g)                -53   733     0   297   297   119   113      0.000      0.000    -28.109     28.109      0.000
   723        21   (g)                -51   707     0  1109  1109   219   320     -1.465      0.009     -0.059      1.466      0.000
   724        21   (g)                -51   707     0   977   977   320   114     -1.267     -0.566      0.968      1.692      0.000
   725        21   (g)                -52   608   608   975   976   114   290      0.358      0.485      1.614      1.723      0.000
   726        21   (g)                -51   590     0  1203  1204   153   321     -0.607     -0.739     -0.383      1.030      0.000
   727        21   (g)                -51   590     0  1205  1205   321   238     -0.499      0.439     -0.084      0.670      0.000
   728        21   (g)                -52   433   433   878   878   238   200     -0.527     -0.050      0.559      0.770      0.000
   729        21   (g)                -51   560     0   849   850   322   193     -1.727     -0.454     67.820     67.843      0.000
   730        21   (g)                -51   560     0  1514  1514   165   322     -0.112     -0.608     17.001     17.013      0.000
   731        21   (g)                -53   770   770   221   221   165   145      0.000     -0.000     99.589     99.589      0.000
   732         1   (d)                -42  1306  1306   296   296   203     0     -0.000      0.000    489.957    489.957      0.000
   733        21   (g)                -41  1307  1307   755   722   323   113      0.000     -0.000   -794.308    794.308      0.000
   734         1   (d)                -44   498   498  1308  1308   259     0      2.262      4.564     46.771     47.049      0.330
   735        21   (g)                -44   570   570   776   776   283   221     -0.201     -1.988     -0.882      2.184      0.000
   736         1   (d)                -44   326   326   818   818   119     0      3.598     -0.827     -4.296      5.674      0.330
   737        21   (g)                -44   521   521   959   959   218   139      3.050     -0.256      6.876      7.526      0.000
   738        21   (g)                -44   315   315   788   788   155   194     -5.784      0.733     -5.578      8.068      0.000
   739        21   (g)                -44   720   720   786   787   194   319     -0.340     -1.190     -1.001      1.592      0.000
   740        21   (g)                -44   659   659   882   883   203   213     -2.797     -0.144    347.659    347.671      0.000
   741        21   (g)                -44   503   503  1131  1132   206   155     -0.001     -0.286     -0.219      0.360      0.000
   742        -1   (dbar)             -44   349   349   842   842     0   112      1.683     -0.765     -7.002      7.250      0.330
   743        21   (g)                -44   657   657   800   800   301   111      0.247      0.662     34.966     34.973      0.000
   744        21   (g)                -44   474   474   840   841   112   250      0.184     -0.691      1.163      1.365      0.000
   745        21   (g)                -44   501   501   774   775   221   260     -1.429     -1.464     -2.007      2.866      0.000
   746        21   (g)                -44   519   519   992   992   250   267     -0.160      0.873      1.816      2.022      0.000
   747        21   (g)                -44   579   579   834   835   286   256      0.080     -0.475      0.292      0.563      0.000
   748        21   (g)                -44   499   499  1145  1145   139   259      1.212      0.825     20.235     20.288      0.000
   749        21   (g)                -44   502   502  1323  1323   260   206     -2.413     -0.170     -1.707      2.960      0.000
   750        21   (g)                -44   520   520   957   958   267   218      1.366      0.291      1.476      2.033      0.000
   751        21   (g)                -44   571   571  1325  1325   256   283     -0.224      0.192      0.125      0.320      0.000
   752        21   (g)                -44   580   580   798   799   111   286     -0.406      0.366      4.135      4.171      0.000
   753        21   (g)                -44   658   658   884   884   213   301      0.594     -0.517     18.891     18.908      0.000
   754        21   (g)                -44   721   721  1328  1328   319   113      0.047      0.175      0.133      0.224      0.000
   755        21   (g)                -43   733     0   816   817   323   119     -0.567      0.091   -766.199    766.199      0.000
   756        21   (g)                -51   705     0   983   983   324   315     -3.860     -0.494      3.012      4.921      0.000
   757        21   (g)                -51   705     0  1152  1153   117   324     -0.461     -0.558      0.964      1.205      0.000
   758        21   (g)                -52   607   607  1154  1154   274   117      0.157     -1.234     -0.789      1.473      0.000
   759        21   (g)                -51   558     0  1172  1172   325   220     -0.245      0.037      0.525      0.581      0.000
   760        21   (g)                -51   558     0  1170  1171   279   325      0.944      0.748      6.976      7.079      0.000
   761        21   (g)                -52   559   559   851   851   193   279      0.105      0.624      4.355      4.401      0.000
   762        21   (g)                -51   567     0  1248  1248   326   247     -0.174     -0.324     -8.856      8.864      0.000
   763        21   (g)                -51   567     0   909   910   282   326     -4.199     -0.418    -77.414     77.528      0.000
   764        21   (g)                -52   568   568   911   911   109   282     -0.194      0.282     -2.450      2.474      0.000
   765        21   (g)                -51   459     0  1008  1009   245   327      0.282      0.983     14.835     14.871      0.000
   766        21   (g)                -51   459     0  1010  1010   327   239     -0.352     -0.145      3.656      3.676      0.000
   767        21   (g)                -52   437   437  1243  1243   239   124     -0.420      1.717    259.334    259.340      0.000
   768        -3   (sbar)             -51   220     0  1507  1507     0   328     -0.436     -1.930   -187.479    187.490      0.500
   769        21   (g)                -51   220     0  1516  1516   328   145     -0.844     -0.848   -167.180    167.185      0.000
   770        21   (g)                -53  1501  1501   731   731   165   145      0.000     -0.000     99.590     99.590      0.000
   771        21   (g)                -51   516     0  1553  1553   329   167     -0.892     -1.333     10.386     10.509      0.000
   772        21   (g)                -51   516     0  1034  1034   266   329      0.067     -0.250      0.364      0.447      0.000
   773        21   (g)                -52   517   517  1032  1033   175   266     -0.355     -0.036      9.252      9.259      0.000
   774        21   (g)                -51   745     0   893   893   330   260     -1.651     -2.374     -2.074      3.558      0.000
   775        21   (g)                -51   745     0   891   892   221   330      0.121     -0.088     -0.376      0.404      0.000
   776        21   (g)                -52   735   735   978   979   283   221     -0.100     -0.989     -0.439      1.087      0.000
   777        21   (g)                -51   584     0  1062  1063   101   331      2.255      0.635     -0.829      2.485      0.000
   778        21   (g)                -51   584     0   813   814   331   166      0.353      0.676     -1.036      1.287      0.000
   779        21   (g)                -52   252   252   792   793   166   189     -0.864      5.996     -3.261      6.880      0.000
   780        21   (g)                -51   594     0  1354  1354   272   333     -0.016      0.288     -7.508      7.513      0.000
   781        21   (g)                -51   594     0  1208  1208   333   191     -1.420      0.651    -12.029     12.130      0.000
   782        21   (g)                -52   605   605  1206  1207   191   263     -0.030      0.066     -0.013      0.073      0.000
   783         1   (d)                -51   477     0  1481  1481   334     0     -1.387      0.133    176.434    176.440      0.330
   784        21   (g)                -51   477     0  1488  1488   251   334     -0.760      0.886     93.699     93.706      0.000
   785        21   (g)                -52   483   483   789   790   253   251      0.389      0.457     11.932     11.947      0.000
   786        21   (g)                -51   739     0   912   913   335   319     -1.092     -0.896     -0.889      1.669      0.000
   787        21   (g)                -51   739     0   914   914   194   335      0.178     -0.221     -0.665      0.723      0.000
   788        21   (g)                -52   738   738  1133  1133   155   194     -5.210      0.660     -5.024      7.268      0.000
   789        21   (g)                -51   785     0  1482  1482   336   251     -0.090     -0.461      4.429      4.453      0.000
   790        21   (g)                -51   785     0  1489  1489   253   336      0.423      0.607      8.697      8.729      0.000
   791        21   (g)                -52   484   484  1004  1004   136   253     -0.070     -0.394      1.510      1.562      0.000
   792        21   (g)                -51   779     0   815   815   166   337     -0.873      5.264     -2.207      5.774      0.000
   793        21   (g)                -51   779     0   918   919   337   189      0.142      1.331     -1.080      1.720      0.000
   794        21   (g)                -52   253   253   875   875   189   154      1.356      6.116     -0.259      6.270      0.000
   795        21   (g)                -51   681     0  1104  1105   338   309     -0.185      0.153      0.779      0.815      0.000
   796        21   (g)                -51   681     0  1106  1106   240   338     -1.326     -1.108     17.740     17.824      0.000
   797        21   (g)                -52   439   439   846   847   121   240     -2.055     -1.853     13.349     13.633      0.000
   798        21   (g)                -51   752     0   836   836   339   286     -0.617      0.277     16.330     16.344      0.000
   799        21   (g)                -51   752     0  1332  1332   111   339      0.337      0.429      5.792      5.818      0.000
   800        21   (g)                -52   743   743  1317  1317   301   111      0.120      0.321     16.979     16.982      0.000
   801        21   (g)                -51   460     0  1086  1087   340   245     -1.085      0.612     68.102     68.114      0.000
   802        21   (g)                -51   460     0   827   827   105   340      0.403      0.041      5.293      5.309      0.000
   803        21   (g)                -52   461   461   825   826   242   105      0.357     -0.551      0.370      0.754      0.000
   804        21   (g)                -51   661     0  1557  1557   302   341      0.921      1.508     18.721     18.804      0.000
   805        21   (g)                -51   661     0  1559  1559   341   168      0.161      0.048     16.663     16.664      0.000
   806        21   (g)                -53  1549  1549   662   662   175   168     -0.000     -0.000    102.052    102.052      0.000
   807        21   (g)                -51   698     0  1215  1215   106   342    -21.060    -40.605     29.218     54.277      0.000
   808        21   (g)                -51   698     0  1270  1270   342   103     -8.672    -16.433     11.033     21.610      0.000
   809        21   (g)                -52   442   442   956   956   103   241     -2.471     -3.220      3.615      5.436      0.000
   810        21   (g)                -51   588     0  1529  1529   226   343      0.061     -0.089      1.344      1.348      0.000
   811        21   (g)                -51   588     0  1535  1535   343   289      0.110      0.095     -0.200      0.247      0.000
   812        21   (g)                -52   589   589  1531  1531   289   153      0.227     -0.106     -0.031      0.253      0.000
   813        21   (g)                -51   778     0  1267  1267   331   344      0.018      0.842     -1.313      1.559      0.000
   814        21   (g)                -51   778     0  1271  1271   344   166      0.027      1.694     -0.503      1.768      0.000
   815        21   (g)                -52   792   792  1232  1232   166   337     -0.565      3.403     -1.427      3.733      0.000
   816        21   (g)                -51   755     0  1329  1329   323   345     -0.543     -0.450   -558.127    558.128      0.000
   817        21   (g)                -51   755     0   921   922   345   119     -0.022      0.541   -208.075    208.075      0.000
   818         1   (d)                -52   736   736   923   923   119     0      3.595     -0.827     -4.293      5.670      0.330
   819        21   (g)                -51   550     0   929   929   275   346     -0.585      0.062     -1.764      1.859      0.000
   820        21   (g)                -51   550     0   927   928   346   169      0.173     -0.514      0.190      0.575      0.000
   821        21   (g)                -52   551   551  1554  1554   169   223      1.103     -0.542     28.537     28.564      0.000
   822        21   (g)                -51   718     0  1169  1169   318   348     -0.078      0.900      2.888      3.026      0.000
   823        21   (g)                -51   718     0  1167  1168   348   138      0.328      0.400     -0.002      0.517      0.000
   824        21   (g)                -52   719   719   930   931   138   258      3.191     -3.749     -2.877      5.702      0.000
   825        21   (g)                -51   803     0  1237  1237   242   350      0.095      0.318      0.342      0.477      0.000
   826        21   (g)                -51   803     0  1016  1016   350   105      0.382     -0.857      1.608      1.862      0.000
   827        21   (g)                -52   802   802  1014  1015   105   340      0.283      0.029      3.713      3.724      0.000
   828        21   (g)                -51   553     0  1252  1252   352   277      0.495      0.528      0.325      0.793      0.000
   829        21   (g)                -51   553     0  1273  1273   246   352     -0.032     -0.410      0.021      0.411      0.000
   830        21   (g)                -52   554   554  1247  1247   162   246     -0.024     -0.027      0.042      0.056      0.000
   831        21   (g)                -51   538     0  1447  1447   271   353     -0.329     -0.009     -0.908      0.966      0.000
   832        21   (g)                -51   538     0   963   964   353   133      0.502     -0.425     -0.352      0.747      0.000
   833         2   (u)                -52   539   539   965   965   133     0     -0.831      0.947      4.714      4.890      0.330
   834        21   (g)                -51   747     0  1321  1321   354   256     -0.163     -0.002     -0.062      0.174      0.000
   835        21   (g)                -51   747     0  1334  1334   286   354      0.151     -0.432      2.795      2.832      0.000
   836        21   (g)                -52   798   798  1326  1326   339   286     -0.524      0.236     13.888     13.900      0.000
   837        21   (g)                -51   612     0  1251  1251   355   108     -0.027      0.052     -0.013      0.060      0.000
   838        21   (g)                -51   612     0  1274  1274   292   355     -1.888      2.524      9.679     10.179      0.000
   839        21   (g)                -52   613   613  1259  1259   273   292     -0.143      0.046      1.139      1.148      0.000
   840        21   (g)                -51   744     0   887   887   356   250     -0.118     -0.721      1.077      1.301      0.000
   841        21   (g)                -51   744     0   885   886   112   356      0.442     -0.034     -0.498      0.667      0.000
   842        -1   (dbar)             -52   742   742  1316  1316     0   112      1.543     -0.701     -6.419      6.647      0.330
   843        21   (g)                -51   555     0  1250  1250   357   264      4.693      3.026     -6.180      8.329      0.000
   844        21   (g)                -51   555     0  1275  1275   278   357      0.796      0.182     -0.526      0.971      0.000
   845        21   (g)                -52   556   556  1253  1253   171   278      2.526      2.170     -3.642      4.935      0.000
   846        21   (g)                -51   797     0  1389  1389   358   240     -1.208     -0.906     10.989     11.092      0.000
   847        21   (g)                -51   797     0  1394  1394   121   358     -0.847     -0.947      4.380      4.560      0.000
   848        21   (g)                -53  1386  1386   506   506   121   120      0.000      0.000     65.444     65.444      0.000
   849        21   (g)                -51   729     0  1505  1505   322   359      0.050     -0.304      6.356      6.364      0.000
   850        21   (g)                -51   729     0  1139  1139   359   193     -1.757     -0.031     62.297     62.322      0.000
   851        21   (g)                -52   761   761  1137  1138   193   279      0.085      0.505      3.521      3.558      0.000
   852        21   (g)                -51   695     0  1566  1566   174   360      0.063     -1.587    -20.838     20.899      0.000
   853        21   (g)                -51   695     0  1570  1570   360   172     -0.261      0.265     -2.524      2.551      0.000
   854        -2   (ubar)             -53  1563  1563   684   684     0   172     -0.000      0.000      0.894      0.894      0.000
   855        21   (g)                -51   509     0   935   935   361   148     -0.308      0.801      3.306      3.415      0.000
   856        21   (g)                -51   509     0   933   934   137   361     -1.039      1.508      3.077      3.581      0.000
   857        21   (g)                -52   508   508  1161  1162   262   137     -0.111      0.184      0.115      0.244      0.000
   858        21   (g)                -51   388     0  1576  1576   362   186      0.305     -0.389     -4.696      4.722      0.000
   859        21   (g)                -51   388     0  1584  1584   183   362      1.089     -0.181     -3.291      3.471      0.000
   860        21   (g)                -53  1574  1574   386   386   183   205      0.000     -0.000    478.810    478.810      0.000
   861        21   (g)                -51   627     0   881   881   363   269     -0.680     -1.253      0.796      1.633      0.000
   862        21   (g)                -51   627     0  1419  1419   216   363      0.350     -0.265      0.725      0.847      0.000
   863        21   (g)                -52   626   626  1407  1407   215   216     -0.089     -0.021      3.944      3.945      0.000
   864        21   (g)                -51   703     0   872   872   314   364     -4.778      3.530     -0.102      5.942      0.000
   865        21   (g)                -51   703     0  1276  1276   364   161      0.025      0.095      0.076      0.124      0.000
   866        21   (g)                -52   704   704  1216  1216   161   204     -2.509      2.136     -0.094      3.296      0.000
   867        21   (g)                -51   709     0  1533  1533   316   365     -0.716     -0.419      4.849      4.919      0.000
   868        21   (g)                -51   709     0  1536  1536   365   192      0.226     -0.731      5.987      6.036      0.000
   869        21   (g)                -52   710   710  1527  1527   192   226     -0.153     -0.910      6.379      6.445      0.000
   870         1   (d)                -51   702     0  1190  1190   284     0     -9.489      7.604      2.992     12.527      0.330
   871        -1   (dbar)             -51   702     0  1277  1277     0   314     -2.271      1.526      0.332      2.776      0.330
   872        21   (g)                -52   864   864  1263  1263   314   364     -3.543      2.617     -0.076      4.405      0.000
   873        21   (g)                -51   566     0   953   953   366   110     -0.490      5.424      0.403      5.461      0.000
   874        21   (g)                -51   566     0  1278  1278   154   366      0.102      1.607     -0.419      1.663      0.000
   875        21   (g)                -52   794   794   920   920   189   154      0.992      4.474     -0.189      4.587      0.000
   876        21   (g)                -51   288     0  1528  1528   367   178      0.050      0.207     -1.272      1.290      0.000
   877        21   (g)                -51   288     0  1184  1184   200   367      0.833      0.760     -0.936      1.465      0.000
   878        21   (g)                -52   728   728  1182  1183   238   200     -0.459     -0.043      0.486      0.670      0.000
   879        21   (g)                -51   631     0  1412  1412   370   129     -0.381     -0.643      0.788      1.086      0.000
   880        21   (g)                -51   631     0  1420  1420   269   370     -0.964     -0.103      0.175      0.986      0.000
   881        21   (g)                -52   861   861  1408  1408   363   269     -0.238     -0.438      0.278      0.571      0.000
   882        21   (g)                -51   740     0  1314  1314   203   371     -0.322     -0.305     22.189     22.194      0.000
   883        21   (g)                -51   740     0  1007  1007   371   213     -2.403      0.099    327.749    327.757      0.000
   884        21   (g)                -52   753   753  1005  1006   213   301      0.523     -0.455     16.612     16.627      0.000
   885        21   (g)                -51   841     0  1335  1335   112   372      0.322     -0.639      0.028      0.716      0.000
   886        21   (g)                -51   841     0  1337  1337   372   356      0.080      0.358     -0.155      0.398      0.000
   887        21   (g)                -52   840   840   990   991   356   250     -0.077     -0.473      0.706      0.854      0.000
   888        21   (g)                -51   643     0   960   961   296   374      0.224      0.398     90.431     90.432      0.000
   889        21   (g)                -51   643     0  1455  1455   374   176     -0.220      0.319     12.486     12.492      0.000
   890        21   (g)                -52   644   644   938   938   176   196     -0.023      1.859    137.985    137.998      0.000
   891        21   (g)                -51   775     0   980   980   221   375     -1.064     -1.115     -1.643      2.253      0.000
   892        21   (g)                -51   775     0  1338  1338   375   330     -0.019     -0.705     -0.245      0.746      0.000
   893        21   (g)                -52   774   774  1319  1319   330   260     -0.447     -0.643     -0.562      0.963      0.000
   894        21   (g)                -51   715     0  1199  1199   377   227      0.563     -0.155    -27.072     27.078      0.000
   895        21   (g)                -51   715     0  1197  1198   317   377      0.434     -0.400     -6.374      6.401      0.000
   896        21   (g)                -52   714   714  1579  1579   186   317     -0.083     -0.018     -1.151      1.154      0.000
   897        21   (g)                -51   407     0  1013  1013   378   233      0.006      0.610      0.136      0.625      0.000
   898        21   (g)                -51   407     0  1071  1072   182   378      1.077      0.284     -0.107      1.119      0.000
   899        21   (g)                -52   236   236  1073  1073   107   182     -0.176      0.334      0.369      0.528      0.000
   900        21   (g)                -51   492     0  1067  1067   379   257      0.120     -0.073      0.105      0.175      0.000
   901        21   (g)                -51   492     0  1456  1456   197   379      0.254     -1.063      8.126      8.199      0.000
   902        -2   (ubar)             -52   351   351  1442  1442     0   197      0.584     -0.258      4.137      4.199      0.330
   903        21   (g)                -51   485     0  1002  1003   381   136     -0.990      0.623      1.505      1.906      0.000
   904        21   (g)                -51   485     0  1492  1492   188   381      0.112      0.657      0.328      0.743      0.000
   905        21   (g)                -53  1473  1473   246   246   188   148      0.000     -0.000     -8.521      8.521      0.000
   906        21   (g)                -51   606     0  1366  1366   382   272     -0.965      0.186     -3.062      3.216      0.000
   907        21   (g)                -51   606     0  1376  1376   180   382     -0.174      0.093     -4.772      4.776      0.000
   908        21   (g)                -52   680   680  1092  1093   116   180      0.831      0.279     -6.095      6.158      0.000
   909        21   (g)                -51   763     0  1265  1265   383   326     -4.212     -0.144    -73.898     74.018      0.000
   910        21   (g)                -51   763     0  1280  1280   282   383     -0.059     -0.169     -4.421      4.425      0.000
   911        21   (g)                -52   764   764  1255  1255   109   282     -0.122      0.178     -1.544      1.559      0.000
   912        21   (g)                -51   786     0  1313  1313   384   319     -0.257      0.007      0.074      0.268      0.000
   913        21   (g)                -51   786     0  1339  1339   335   384     -0.702     -1.068     -1.459      1.940      0.000
   914        21   (g)                -52   787   787  1331  1331   194   335      0.045     -0.056     -0.169      0.184      0.000
   915        21   (g)                -51   473     0  1236  1236   190   385      0.339      1.001     -1.199      1.598      0.000
   916        21   (g)                -51   473     0  1281  1281   385   104      3.415      4.437     -4.379      7.108      0.000
   917        21   (g)                -52   472   472  1097  1097   104   248      3.961      3.242     -6.244      8.074      0.000
   918        21   (g)                -51   793     0  1268  1268   337   386     -0.294      0.897     -0.521      1.078      0.000
   919        21   (g)                -51   793     0  1282  1282   386   189      0.734      1.778     -0.616      2.020      0.000
   920        21   (g)                -52   875   875  1235  1235   189   154      0.694      3.130     -0.132      3.209      0.000
   921        21   (g)                -51   817     0   999  1000   345   387     -0.301      0.629   -205.288    205.289      0.000
   922        21   (g)                -51   817     0  1001  1001   387   119      0.337     -0.101     -2.854      2.876      0.000
   923         1   (d)                -52   818   818  1310  1310   119     0      3.538     -0.813     -4.226      5.581      0.330
   924        21   (g)                -51   701     0  1444  1444   388   271     -0.252      0.312     -0.153      0.429      0.000
   925        21   (g)                -51   701     0  1457  1457   231   388     -0.745      0.139     -2.343      2.463      0.000
   926        -3   (sbar)             -52   700   700  1453  1453     0   231      0.959      0.647    -14.228     14.283      0.500
   927        -1   (dbar)             -51   820     0  1560  1560     0   169     -0.103     -0.042      0.143      0.377      0.330
   928         1   (d)                -51   820     0  1561  1561   346     0      0.108     -0.455     -0.462      0.735      0.330
   929        21   (g)                -52   819   819  1556  1556   275   346     -0.416      0.044     -1.255      1.322      0.000
   930        21   (g)                -51   824     0  1194  1195   138   390      0.696     -1.167     -0.415      1.421      0.000
   931        21   (g)                -51   824     0  1493  1493   390   258      2.884     -3.729     -3.300      5.755      0.000
   932        21   (g)                -52   507   507  1163  1163   258   262      0.500     -1.474     -1.079      1.894      0.000
   933         1   (d)                -51   856     0  1491  1491   137     0     -1.209      1.759      4.647      5.124      0.330
   934        -1   (dbar)             -51   856     0  1494  1494     0   361     -0.085      0.409      1.156      1.273      0.330
   935        21   (g)                -52   855   855  1477  1477   361   148     -0.054      0.140      0.579      0.599      0.000
   936        21   (g)                -51   488     0  1121  1121   391   163      0.037      0.616     24.375     24.383      0.000
   937        21   (g)                -51   488     0  1458  1458   196   391      0.774     -0.196     27.463     27.475      0.000
   938        21   (g)                -52   890   890  1435  1435   176   196     -0.017      1.432    106.297    106.307      0.000
   939        -2   (ubar)             -51   686     0  1565  1565     0   392      0.901      1.806     -1.117      2.331      0.330
   940        21   (g)                -51   686     0  1571  1571   392   173     -0.270      0.369     -0.177      0.490      0.000
   941        21   (g)                -52   689   689  1568  1568   173   310     -0.232      0.335     -1.816      1.862      0.000
   942        21   (g)                -51   623     0  1061  1061   211   393     -0.334      0.240     -0.252      0.483      0.000
   943        21   (g)                -51   623     0  1125  1126   393   128      0.572      0.456     -1.049      1.279      0.000
   944        21   (g)                -53  1127  1127   616   616   294   128     -0.000     -0.000   -233.442    233.442      0.000
   945        21   (g)                -51   669     0   984   985   394   305     -2.111     -7.909      3.686      8.978      0.000
   946        21   (g)                -51   669     0  1116  1117   125   394     -1.156     -2.474      1.748      3.242      0.000
   947        21   (g)                -52   404   404  1113  1114   232   125     -1.722    -12.061     17.223     21.097      0.000
   948        21   (g)                -51   429     0  1577  1577   185   396      0.012     -0.191      0.216      0.289      0.000
   949        21   (g)                -51   429     0  1020  1021   396   184     -1.739     -0.166     -1.611      2.377      0.000
   950        21   (g)                -52   428   428   966   967   184   236      0.121      0.586      2.064      2.148      0.000
   951        21   (g)                -51   575     0  1254  1254   397   281     -1.149      2.541      0.372      2.813      0.000
   952        21   (g)                -51   575     0  1284  1284   110   397      0.011     -0.023      0.143      0.145      0.000
   953        21   (g)                -52   873   873  1222  1222   366   110     -0.370      4.089      0.304      4.117      0.000
   954        21   (g)                -51   464     0  1244  1244   398   162     -1.940     -1.698      1.497      2.981      0.000
   955        21   (g)                -51   464     0  1285  1285   241   398     -0.803     -1.577      0.621      1.875      0.000
   956        21   (g)                -52   809   809  1230  1230   103   241     -1.729     -2.253      2.529      3.803      0.000
   957        21   (g)                -51   750     0  1324  1324   267   399      2.305     -0.094      4.057      4.667      0.000
   958        21   (g)                -51   750     0  1341  1341   399   218      0.361      0.276      0.351      0.574      0.000
   959        21   (g)                -52   737   737  1143  1144   218   139      1.749     -0.147      3.944      4.317      0.000
   960        21   (g)                -51   888     0  1450  1450   400   374     -0.038     -0.255     57.985     57.985      0.000
   961        21   (g)                -51   888     0  1055  1055   296   400      0.189      0.527     35.184     35.188      0.000
   962        21   (g)                -52   642   642  1028  1028   181   296     -1.433     -2.468     53.636     53.712      0.000
   963        21   (g)                -51   832     0  1454  1454   353   401      0.711     -0.441      0.118      0.845      0.000
   964        21   (g)                -51   832     0  1460  1460   401   133     -0.278      0.094     -0.080      0.304      0.000
   965         2   (u)                -52   833   833  1431  1431   133     0     -0.762      0.869      4.324      4.487      0.330
   966        21   (g)                -51   950     0  1022  1022   184   402      0.293      0.097      8.920      8.926      0.000
   967        21   (g)                -51   950     0   998   998   402   236     -0.254      0.500      1.927      2.007      0.000
   968        21   (g)                -52   656   656   996   997   236   229     -0.814      0.110     87.509     87.513      0.000
   969        21   (g)                -51   614     0  1217  1217   403   273     -0.517      0.398      1.133      1.308      0.000
   970        21   (g)                -51   614     0  1286  1286   288   403     -0.786      0.722      5.586      5.687      0.000
   971        21   (g)                -52   586   586  1258  1258   102   288     -0.365     -0.179      1.997      2.038      0.000
   972        21   (g)                -51   635     0  1416  1416   294   404     -0.020      0.244   -196.382    196.382      0.000
   973        21   (g)                -51   635     0  1023  1024   404   179      0.416      0.294    -25.096     25.102      0.000
   974         2   (u)                -52   621   621  1025  1025   179     0      1.052     -0.570     -3.291      3.518      0.330
   975        21   (g)                -51   725     0  1041  1042   405   290     -0.091      0.382      1.867      1.908      0.000
   976        21   (g)                -51   725     0  1043  1043   114   405      0.175     -0.021     -0.044      0.181      0.000
   977        21   (g)                -52   724   724  1373  1373   320   114     -0.992     -0.444      0.758      1.325      0.000
   978         2   (u)                -51   776     0  1309  1309   283     0     -0.281     -0.310     -0.592      0.796      0.330
   979        -2   (ubar)             -51   776     0  1342  1342     0   221     -0.664     -1.565     -1.153      2.081      0.330
   980        21   (g)                -52   891   891  1330  1330   221   375     -0.219     -0.229     -0.338      0.463      0.000
   981        21   (g)                -51   706     0  1107  1108   407   219     -1.827     -0.879      1.488      2.515      0.000
   982        21   (g)                -51   706     0  1378  1378   315   407     -0.579      0.206      0.277      0.674      0.000
   983        21   (g)                -52   756   756  1353  1353   324   315     -1.788     -0.229      1.395      2.279      0.000
   984        21   (g)                -51   945     0  1017  1018   394   408     -2.234     -5.234      2.722      6.309      0.000
   985        21   (g)                -51   945     0  1019  1019   408   305     -1.389     -6.011      3.012      6.865      0.000
   986        21   (g)                -52   696   696  1261  1261   305   313     -5.497    -12.135      7.449     15.263      0.000
   987        21   (g)                -51   527     0  1089  1090   156   409     -2.134     -2.358    186.774    186.801      0.000
   988        21   (g)                -51   527     0  1091  1091   409   159      0.277     -0.085      7.110      7.116      0.000
   989         1   (d)                -52   530   530  1545  1545   159     0      0.503     -0.506      1.126      1.374      0.330
   990        21   (g)                -51   887     0  1318  1318   356   410     -0.345      0.128      0.193      0.416      0.000
   991        21   (g)                -51   887     0  1343  1343   410   250      0.190     -0.178      1.392      1.417      0.000
   992        21   (g)                -52   746   746  1320  1320   250   267     -0.082      0.450      0.937      1.043      0.000
   993        21   (g)                -51   717     0  1486  1486   411   318      0.201      0.870      4.638      4.723      0.000
   994        21   (g)                -51   717     0  1495  1495   307   411      0.355      0.387      0.795      0.952      0.000
   995        -1   (dbar)             -52   675   675  1480  1480     0   307     -0.204      2.558      6.823      7.297      0.330
   996        21   (g)                -51   968     0  1580  1580   412   229     -0.050      0.171     51.665     51.666      0.000
   997        21   (g)                -51   968     0  1588  1588   236   412     -0.781     -0.030     35.962     35.971      0.000
   998        21   (g)                -52   967   967  1587  1587   402   236     -0.239      0.469      1.808      1.883      0.000
   999        21   (g)                -51   921     0  1333  1333   345   413     -0.112      0.490    -35.514     35.518      0.000
  1000        21   (g)                -51   921     0  1344  1344   413   387     -0.150      0.126   -170.104    170.104      0.000
  1001        21   (g)                -52   922   922  1340  1340   387   119      0.298     -0.089     -2.524      2.543      0.000
  1002        21   (g)                -51   903     0  1148  1148   381   414     -0.659      0.075      0.454      0.803      0.000
  1003        21   (g)                -51   903     0  1146  1147   414   136     -0.363      0.369      1.743      1.818      0.000
  1004        21   (g)                -52   791   791  1483  1483   136   253     -0.038     -0.213      0.819      0.847      0.000
  1005        21   (g)                -51   884     0  1058  1058   415   301      0.513      0.026     11.603     11.614      0.000
  1006        21   (g)                -51   884     0  1056  1057   213   415     -0.206     -0.472     34.407     34.411      0.000
  1007        21   (g)                -52   883   883  1336  1336   371   213     -2.187      0.090    298.351    298.359      0.000
  1008        21   (g)                -51   765     0  1223  1223   245   416     -0.091     -0.091      0.456      0.474      0.000
  1009        21   (g)                -51   765     0  1288  1288   416   327      0.152      0.984     16.664     16.694      0.000
  1010        21   (g)                -52   766   766  1266  1266   327   239     -0.132     -0.054      1.372      1.379      0.000
  1011        21   (g)                -51   408     0  1241  1241   417   217      2.673      4.227     -3.216      5.945      0.000
  1012        21   (g)                -51   408     0  1289  1289   233   417      0.288      1.349     -0.682      1.539      0.000
  1013        21   (g)                -52   897   897  1218  1218   378   233      0.004      0.445      0.099      0.456      0.000
  1014        21   (g)                -51   827     0  1088  1088   418   340      0.119      0.019      0.023      0.123      0.000
  1015        21   (g)                -51   827     0  1290  1290   105   418      0.344     -0.395      4.450      4.481      0.000
  1016        21   (g)                -52   826   826  1272  1272   350   105      0.201     -0.452      0.848      0.982      0.000
  1017         2   (u)                -51   984     0  1219  1219   394     0     -1.322     -3.856      2.294      4.689      0.330
  1018        -2   (ubar)             -51   984     0  1291  1291     0   408     -1.914     -5.714      2.601      6.572      0.330
  1019        21   (g)                -52   985   985  1287  1287   408   305     -0.387     -1.675      0.839      1.913      0.000
  1020        21   (g)                -51   949     0  1202  1202   396   419     -1.550      0.120     -1.618      2.244      0.000
  1021        21   (g)                -51   949     0  1176  1177   419   184     -0.177     -0.282      0.377      0.503      0.000
  1022        21   (g)                -52   966   966  1178  1178   184   402      0.281      0.093      8.550      8.555      0.000
  1023        21   (g)                -51   973     0  1422  1422   404   420     -0.102      0.041    -16.805     16.806      0.000
  1024        21   (g)                -51   973     0  1423  1423   420   179      0.606      0.204     -8.525      8.549      0.000
  1025         2   (u)                -52   974   974  1402  1402   179     0      0.964     -0.521     -3.057      3.265      0.330
  1026        21   (g)                -51   563     0  1181  1181   132   421      0.180     -0.511      8.524      8.542      0.000
  1027        21   (g)                -51   563     0  1037  1037   421   181     -0.237      0.342      5.454      5.470      0.000
  1028        21   (g)                -52   962   962  1035  1036   181   296     -1.159     -1.996     43.385     43.447      0.000
  1029        21   (g)                -51   652     0  1369  1369   299   422      0.151      0.250    -11.564     11.568      0.000
  1030        21   (g)                -51   652     0  1379  1379   422   228     -0.681      0.005    -10.267     10.289      0.000
  1031        21   (g)                -52   653   653  1363  1363   228   198      0.254      0.354     -2.168      2.211      0.000
  1032        21   (g)                -51   773     0  1555  1555   175   423     -0.321     -0.452      8.084      8.103      0.000
  1033        21   (g)                -51   773     0  1562  1562   423   266     -0.000      0.288      1.354      1.384      0.000
  1034        21   (g)                -52   772   772  1558  1558   266   329      0.032     -0.122      0.178      0.218      0.000
  1035        21   (g)                -51  1028     0  1053  1054   424   296     -0.757     -0.686     13.355     13.394      0.000
  1036        21   (g)                -51  1028     0  1050  1051   181   424     -0.469     -1.214     31.567     31.594      0.000
  1037        21   (g)                -52  1027  1027  1052  1052   421   181     -0.170      0.245      3.918      3.929      0.000
  1038        21   (g)                -51   622     0  1403  1403   425   142      0.288     -0.440      3.607      3.645      0.000
  1039        21   (g)                -51   622     0  1424  1424   243   425     -0.148      0.232      6.085      6.091      0.000
  1040        21   (g)                -52   630   630  1411  1411   252   243      0.156     -0.300      4.031      4.045      0.000
  1041        21   (g)                -51   975     0  1368  1368   426   290     -0.163     -0.224      0.898      0.940      0.000
  1042        21   (g)                -51   975     0  1380  1380   405   426      0.221      0.589      0.932      1.124      0.000
  1043        21   (g)                -52   976   976  1377  1377   114   405      0.025     -0.003     -0.006      0.026      0.000
  1044        21   (g)                -51   693     0  1082  1082   429   312     -0.472     -1.287    -12.658     12.732      0.000
  1045        21   (g)                -51   693     0  1080  1081   244   429     -0.157      0.193     -2.283      2.296      0.000
  1046        21   (g)                -53  1564  1564   685   685   244   310     -0.000     -0.000    -44.634     44.634      0.000
  1047        21   (g)                -51   522     0  1083  1084   235   430      0.389      0.309     -8.207      8.222      0.000
  1048        21   (g)                -51   522     0  1085  1085   430   268      2.901      0.084    -31.229     31.363      0.000
  1049        21   (g)                -52   523   523  1512  1512   268   147      0.501      0.413     -3.942      3.995      0.000
  1050        21   (g)                -51  1036     0  1462  1462   431   424     -0.769     -0.816     29.131     29.153      0.000
  1051        21   (g)                -51  1036     0  1463  1463   181   431      0.204     -0.259      4.649      4.661      0.000
  1052        21   (g)                -52  1037  1037  1461  1461   421   181     -0.074      0.107      1.704      1.709      0.000
  1053        21   (g)                -51  1035     0  1437  1437   424   432     -0.639     -0.079      6.744      6.775      0.000
  1054        21   (g)                -51  1035     0  1142  1142   432   296     -0.079     -0.499     13.813     13.822      0.000
  1055        21   (g)                -52   961   961  1140  1141   296   400      0.150      0.419     27.981     27.984      0.000
  1056        21   (g)                -51  1006     0  1345  1345   213   434      0.051      0.074      0.484      0.492      0.000
  1057        21   (g)                -51  1006     0  1346  1346   434   415      0.100     -0.528     41.989     41.993      0.000
  1058        21   (g)                -52  1005  1005  1327  1327   415   301      0.156      0.008      3.537      3.541      0.000
  1059        21   (g)                -51   625     0  1406  1406   201   435     -1.232     -0.680     -0.259      1.431      0.000
  1060        21   (g)                -51   625     0  1425  1425   435   211     -1.856     -0.641      0.620      2.059      0.000
  1061        21   (g)                -52   942   942  1404  1404   211   393     -0.213      0.153     -0.161      0.308      0.000
  1062        21   (g)                -51   777     0  1227  1227   436   331      1.472      0.872     -1.349      2.179      0.000
  1063        21   (g)                -51   777     0  1158  1159   101   436      1.757      0.437     -0.523      1.885      0.000
  1064        21   (g)                -52   583   583  1068  1069   287   101      1.190      0.823     -1.275      1.928      0.000
  1065        21   (g)                -51   493     0  1446  1446   437   134     -2.084     -0.703     10.989     11.206      0.000
  1066        21   (g)                -51   493     0  1465  1465   257   437     -0.809     -0.949      5.951      6.080      0.000
  1067        21   (g)                -52   900   900  1440  1440   379   257      0.088     -0.053      0.077      0.129      0.000
  1068        21   (g)                -51  1064     0  1160  1160   438   101     10.803      7.447    -15.141     20.035      0.000
  1069        21   (g)                -51  1064     0  1293  1293   287   438      7.745      5.368     -9.714     13.534      0.000
  1070        21   (g)                -52   582   582  1214  1214   264   287     45.860     31.683    -62.294     83.592      0.000
  1071        21   (g)                -51   898     0  1279  1279   439   378      0.449      0.045     -0.365      0.580      0.000
  1072        21   (g)                -51   898     0  1294  1294   182   439      0.536      0.411      0.447      0.811      0.000
  1073        21   (g)                -52   899   899  1234  1234   107   182     -0.085      0.162      0.178      0.256      0.000
  1074        21   (g)                -51   672     0  1434  1434   440   306      1.598     -0.035     -3.512      3.859      0.000
  1075        21   (g)                -51   672     0  1466  1466   131   440     -0.174      0.207     -0.627      0.683      0.000
  1076         1   (d)                -53  1429  1429   190   190   131     0     -0.000     -0.000   1767.478   1767.478      0.000
  1077        21   (g)                -51   666     0  1441  1441   304   441     -0.334      0.064    151.257    151.257      0.000
  1078        21   (g)                -51   666     0  1467  1467   441   225      0.377     -0.330    103.892    103.893      0.000
  1079        21   (g)                -52   639   639  1122  1123   225   295      0.410      0.150    193.119    193.120      0.000
  1080        21   (g)                -51  1045     0  1572  1572   244   442     -0.513     -0.418     -3.619      3.679      0.000
  1081        21   (g)                -51  1045     0  1573  1573   442   429      0.021     -0.304     -7.659      7.665      0.000
  1082        21   (g)                -52  1044  1044  1567  1567   429   312     -0.137     -0.373     -3.664      3.685      0.000
  1083        21   (g)                -51  1047     0  1511  1511   235   443      1.678     -0.072    -23.335     23.396      0.000
  1084        21   (g)                -51  1047     0  1519  1519   443   430      1.230      0.454    -11.978     12.050      0.000
  1085        21   (g)                -52  1048  1048  1518  1518   430   268      0.383      0.011     -4.122      4.140      0.000
  1086        21   (g)                -51   801     0  1246  1246   444   245     -0.778      0.549     29.207     29.222      0.000
  1087        21   (g)                -51   801     0  1295  1295   340   444     -0.301      0.064     38.897     38.898      0.000
  1088        21   (g)                -52  1014  1014  1269  1269   418   340      0.113      0.018      0.022      0.116      0.000
  1089        21   (g)                -51   987     0  1542  1542   156   445     -1.819     -2.007    176.213    176.234      0.000
  1090        21   (g)                -51   987     0  1547  1547   445   409     -0.239     -0.374     12.505     12.513      0.000
  1091        21   (g)                -52   988   988  1546  1546   409   159      0.202     -0.062      5.166      5.171      0.000
  1092        21   (g)                -51   908     0  1357  1357   446   180      0.584      0.640     -7.889      7.937      0.000
  1093        21   (g)                -51   908     0  1381  1381   116   446      0.359     -0.261     -5.865      5.882      0.000
  1094        21   (g)                -52   679   679  1371  1371   308   116      0.120      0.108     -8.237      8.238      0.000
  1095        21   (g)                -51   557     0  1233  1233   447   171      1.626      2.247     -2.328      3.621      0.000
  1096        21   (g)                -51   557     0  1296  1296   248   447      2.094      2.356     -3.951      5.054      0.000
  1097        21   (g)                -52   917   917  1249  1249   104   248      2.602      2.129     -4.102      5.304      0.000
  1098        21   (g)                -51   176     0  1101  1102   149   448      3.651      0.173     -5.579      6.670      0.000
  1099        21   (g)                -51   176     0  1136  1136   448   164      0.066     -0.162     -0.076      0.190      0.000
  1100        21   (g)                -52   569   569  1134  1135   164   109      2.663     -1.140    -16.043     16.302      0.000
  1101        21   (g)                -51  1098     0  1231  1231   449   448      1.292      0.012     -1.320      1.847      0.000
  1102        21   (g)                -51  1098     0  1298  1298   149   449      2.886      0.500     -4.980      5.777      0.000
  1103        21   (g)                -52   177   177  1221  1221   140   149      0.395      0.254     -0.542      0.717      0.000
  1104        21   (g)                -51   795     0  1390  1390   450   309     -0.356      0.106      1.408      1.456      0.000
  1105        21   (g)                -51   795     0  1395  1395   338   450     -0.627     -0.620     10.054     10.093      0.000
  1106        21   (g)                -52   796   796  1393  1393   240   338     -0.528     -0.441      7.058      7.091      0.000
  1107         1   (d)                -51   981     0  1372  1372   407     0     -2.006     -0.722      1.226      2.481      0.330
  1108        -1   (dbar)             -51   981     0  1382  1382     0   219     -0.341     -0.154      0.242      0.555      0.330
  1109        21   (g)                -52   723   723  1361  1361   219   320     -0.945      0.006     -0.038      0.946      0.000
  1110        21   (g)                -51   665     0  1358  1358   263   451      0.207     -1.250    -20.317     20.356      0.000
  1111        21   (g)                -51   665     0  1383  1383   451   141      0.265      0.053     -3.919      3.929      0.000
  1112        21   (g)                -52   664   664  1370  1370   141   303      0.137     -0.112     -5.266      5.269      0.000
  1113        21   (g)                -51   947     0  1118  1118   452   125     -1.425    -11.477     16.320     20.002      0.000
  1114        21   (g)                -51   947     0  1299  1299   232   452     -0.348     -0.583      0.931      1.153      0.000
  1115        21   (g)                -52   545   545  1240  1240   108   232     -0.285      0.005      0.155      0.324      0.000
  1116        21   (g)                -51   946     0  1283  1283   453   394     -0.378     -0.672      0.210      0.799      0.000
  1117        21   (g)                -51   946     0  1128  1129   125   453     -0.868     -2.522      2.562      3.698      0.000
  1118        21   (g)                -52  1113  1113  1130  1130   452   125     -1.336    -10.757     15.296     18.747      0.000
  1119        21   (g)                -51   668     0  1445  1445   454   254     -0.296      0.163     35.451     35.453      0.000
  1120        21   (g)                -51   668     0  1468  1468   163   454      0.590      0.421     68.062     68.066      0.000
  1121        21   (g)                -52   936   936  1439  1439   391   163      0.014      0.235      9.299      9.302      0.000
  1122        21   (g)                -51  1079     0  1443  1443   225   455      0.604      0.017     92.931     92.933      0.000
  1123        21   (g)                -51  1079     0  1469  1469   455   295      0.497     -0.494    287.090    287.091      0.000
  1124        21   (g)                -52   640   640  1449  1449   295   202      0.249     -0.226     67.553     67.553      0.000
  1125        21   (g)                -51   943     0  1187  1187   393   457      0.547      0.528     -1.143      1.373      0.000
  1126        21   (g)                -51   943     0  1185  1186   457   128      0.026     -0.072     -9.586      9.587      0.000
  1127        21   (g)                -53  1397  1397   944   944   294   128     -0.000     -0.000   -243.123    243.123      0.000
  1128        21   (g)                -51  1117     0  1300  1300   458   453     -1.147     -2.944      3.534      4.740      0.000
  1129        21   (g)                -51  1117     0  1301  1301   125   458     -0.036     -2.118      2.640      3.384      0.000
  1130        21   (g)                -52  1118  1118  1224  1224   452   125     -1.020     -8.217     11.684     14.321      0.000
  1131        21   (g)                -51   741     0  1315  1315   206   459     -0.377     -0.220     -0.011      0.437      0.000
  1132        21   (g)                -51   741     0  1347  1347   459   155     -0.815      0.085     -1.356      1.584      0.000
  1133        21   (g)                -52   788   788  1312  1312   155   194     -4.020      0.509     -3.876      5.607      0.000
  1134        21   (g)                -51  1100     0  1226  1226   460   109      2.441     -0.957    -12.432     12.706      0.000
  1135        21   (g)                -51  1100     0  1302  1302   164   460      0.239     -0.224     -3.630      3.644      0.000
  1136        21   (g)                -52  1099  1099  1297  1297   448   164      0.049     -0.121     -0.057      0.143      0.000
  1137        21   (g)                -51   851     0  1513  1513   461   279      0.208      0.604      8.732      8.756      0.000
  1138        21   (g)                -51   851     0  1520  1520   193   461     -0.415     -0.104      5.135      5.153      0.000
  1139        21   (g)                -52   850   850  1517  1517   359   193     -1.465     -0.026     51.951     51.971      0.000
  1140        21   (g)                -51  1055     0  1459  1459   462   400      0.007      0.115     36.624     36.624      0.000
  1141        21   (g)                -51  1055     0  1470  1470   296   462      0.091     -0.025      0.469      0.478      0.000
  1142        21   (g)                -52  1054  1054  1464  1464   432   296     -0.027     -0.170      4.702      4.705      0.000
  1143        21   (g)                -51   959     0  1157  1157   218   463      1.382     -0.301      2.834      3.167      0.000
  1144        21   (g)                -51   959     0  1155  1156   463   139      0.512      0.253      3.527      3.573      0.000
  1145        21   (g)                -52   748   748  1166  1166   139   259      1.067      0.727     17.818     17.865      0.000
  1146        21   (g)                -51  1003     0  1496  1496   464   136     -0.584     -0.159      1.258      1.396      0.000
  1147        21   (g)                -51  1003     0  1497  1497   414   464     -0.339      0.591      0.871      1.106      0.000
  1148        21   (g)                -52  1002  1002  1478  1478   381   414     -0.098      0.011      0.068      0.120      0.000
  1149        21   (g)                -51   447     0  1242  1242   204   465     -0.586      0.935      0.381      1.168      0.000
  1150        21   (g)                -51   447     0  1303  1303   465   237      0.059     -0.122     -0.068      0.152      0.000
  1151        21   (g)                -52   446   446  1245  1245   237   242      0.224      0.940      1.651      1.913      0.000
  1152        21   (g)                -51   757     0  1374  1374   466   324     -0.577     -0.454      0.852      1.125      0.000
  1153        21   (g)                -51   757     0  1384  1384   117   466      0.157     -0.421     -0.091      0.458      0.000
  1154        21   (g)                -52   758   758  1367  1367   274   117      0.117     -0.917     -0.586      1.095      0.000
  1155        21   (g)                -51  1144     0  1164  1165   467   139      0.755      0.459      2.713      2.853      0.000
  1156        21   (g)                -51  1144     0  1349  1349   463   467      0.445     -0.355      2.225      2.297      0.000
  1157        21   (g)                -52  1143  1143  1311  1311   218   463      0.694     -0.151      1.423      1.591      0.000
  1158        21   (g)                -51  1063     0  1292  1292   468   436      0.879      0.233     -0.009      0.910      0.000
  1159        21   (g)                -51  1063     0  1304  1304   101   468      1.772      0.820     -1.767      2.633      0.000
  1160        21   (g)                -52  1068  1068  1257  1257   438   101      9.909      6.831    -13.888     18.377      0.000
  1161        21   (g)                -51   857     0  1485  1485   469   137     -0.161      0.143     -0.330      0.394      0.000
  1162        21   (g)                -51   857     0  1498  1498   262   469      0.245     -0.534      0.025      0.588      0.000
  1163        21   (g)                -52   932   932  1484  1484   258   262      0.305     -0.900     -0.658      1.156      0.000
  1164        21   (g)                -51  1155     0  1348  1348   467   470      1.048      0.684      5.026      5.179      0.000
  1165        21   (g)                -51  1155     0  1350  1350   470   139      0.012     -0.018      2.782      2.782      0.000
  1166        21   (g)                -52  1145  1145  1322  1322   139   259      0.762      0.519     12.723     12.757      0.000
  1167        21   (g)                -51   823     0  1196  1196   471   138      0.004      0.643      0.168      0.665      0.000
  1168        21   (g)                -51   823     0  1499  1499   348   471      0.300      0.024      0.691      0.754      0.000
  1169        21   (g)                -52   822   822  1487  1487   318   348     -0.055      0.632      2.027      2.124      0.000
  1170        21   (g)                -51   760     0  1515  1515   279   472      0.222      0.648      5.169      5.214      0.000
  1171        21   (g)                -51   760     0  1521  1521   472   325      0.595      0.119      2.078      2.165      0.000
  1172        21   (g)                -52   759   759  1508  1508   325   220     -0.119      0.018      0.254      0.281      0.000
  1173        21   (g)                -51   690     0  1401  1401   142   473     -1.311      0.264     20.148     20.193      0.000
  1174        21   (g)                -51   690     0  1427  1427   473   311     -0.157     -0.076      0.605      0.629      0.000
  1175        21   (g)                -52   691   691  1418  1418   311   127     -0.536      0.514     12.025     12.048      0.000
  1176        21   (g)                -51  1021     0  1200  1201   419   474     -0.244      0.008      0.209      0.321      0.000
  1177        21   (g)                -51  1021     0  1590  1590   474   184      0.164     -0.258      3.087      3.102      0.000
  1178        21   (g)                -52  1022  1022  1581  1581   184   402      0.185      0.061      5.631      5.634      0.000
  1179        21   (g)                -51   562     0  1448  1448   280   475      0.194     -0.347      7.411      7.422      0.000
  1180        21   (g)                -51   562     0  1471  1471   475   132     -0.080      0.432      9.444      9.454      0.000
  1181        21   (g)                -52  1026  1026  1438  1438   132   421      0.055     -0.156      2.599      2.604      0.000
  1182        21   (g)                -51   878     0  1526  1526   238   476     -0.008     -0.190      0.474      0.511      0.000
  1183        21   (g)                -51   878     0  1538  1538   476   200     -0.287      0.296     -0.172      0.447      0.000
  1184        21   (g)                -52   877   877  1537  1537   200   367      0.669      0.610     -0.752      1.177      0.000
  1185        21   (g)                -51  1126     0  1426  1426   477   128     -0.060      0.157     -9.293      9.295      0.000
  1186        21   (g)                -51  1126     0  1428  1428   457   477      0.204     -0.115     -0.540      0.589      0.000
  1187        21   (g)                -52  1125  1125  1421  1421   393   457      0.428      0.414     -0.895      1.075      0.000
  1188        21   (g)                -51   574     0  1256  1256   281   478     -0.596      0.467     -0.087      0.762      0.000
  1189        21   (g)                -51   574     0  1305  1305   478   284     -2.715      1.729      1.287      3.467      0.000
  1190         1   (d)                -52   870   870  1229  1229   284     0     -7.019      5.612      2.217      9.263      0.330
  1191        21   (g)                -51   529     0  1544  1544   157   479      0.083      0.343      1.489      1.530      0.000
  1192        21   (g)                -51   529     0  1548  1548   479   199      0.348     -0.255     10.273     10.282      0.000
  1193        21   (g)                -53  1540  1540   525   525   156   199     -0.000     -0.000    223.351    223.351      0.000
  1194        21   (g)                -51   930     0  1475  1475   480   390      0.654     -0.852     -0.645      1.253      0.000
  1195        21   (g)                -51   930     0  1500  1500   138   480      0.043     -0.169      0.268      0.320      0.000
  1196        21   (g)                -52  1167  1167  1490  1490   471   138      0.003      0.497      0.130      0.514      0.000
  1197         2   (u)                -51   895     0  1585  1585   317     0      0.719     -0.324    -18.738     18.758      0.330
  1198        -2   (ubar)             -51   895     0  1591  1591     0   377      0.103     -0.184     -6.317      6.329      0.330
  1199        21   (g)                -52   894   894  1583  1583   377   227      0.174     -0.048     -8.390      8.392      0.000
  1200        21   (g)                -51  1176     0  1589  1589   483   474     -0.158      0.265      0.092      0.322      0.000
  1201        21   (g)                -51  1176     0  1592  1592   419   483     -0.872     -0.196     -0.703      1.137      0.000
  1202        21   (g)                -52  1020  1020  1586  1586   396   419     -0.765      0.059     -0.798      1.107      0.000
  1203        21   (g)                -51   726     0  1530  1530   153   485     -0.598      0.027      0.046      0.600      0.000
  1204        21   (g)                -51   726     0  1539  1539   485   321     -0.260     -0.546     -0.471      0.767      0.000
  1205        21   (g)                -52   727   727  1534  1534   321   238     -0.248      0.218     -0.042      0.333      0.000
  1206        21   (g)                -51   782     0  1365  1365   486   263     -0.346     -0.074     -0.789      0.864      0.000
  1207        21   (g)                -51   782     0  1385  1385   191   486     -0.428      0.481     -5.528      5.565      0.000
  1208        21   (g)                -52   781   781  1375  1375   333   191     -0.676      0.310     -5.725      5.773      0.000
  1209        21   (g)                -51   655     0  1582  1582   229   487      0.097      0.598    150.190    150.191      0.000
  1210        21   (g)                -51   655     0  1593  1593   487   300      0.444     -0.156    149.341    149.342      0.000
  1211        21   (g)                -52   654   654  1578  1578   300   205     -0.346      0.352     80.120     80.122      0.000
  1212         2   (u)                -61     1     0   587   587   455     0      1.926     -0.121   1774.055   1774.056      0.000
  1213         2   (u)                -61     2     0   237   237   310     0     -0.219     -0.486   -650.578    650.578      0.000
  1214        21   (g)                -62  1070  1070  1642     0   264   287     45.847     31.628    -62.337     83.596      0.000
  1215        21   (g)                -62   807   807  2169  2169   106   342    -21.019    -40.618     29.247     54.286      0.000
  1216        21   (g)                -62   866   866  1779  1779   161   204     -2.507      2.135     -0.093      3.294      0.000
  1217        21   (g)                -62   969   969  1705     0   403   220     -0.516      0.397      1.133      1.307      0.000
  1218        21   (g)                -62  1013  1013  1634     0   378   233      0.005      0.445      0.099      0.456      0.000
  1219         2   (u)                -62  1017  1017  1623     0   394     0     -1.319     -3.857      2.296      4.690      0.330
  1220         2   (u)                -62   465   465  1797  1797   247     0    -15.561     -5.138   -331.260    331.665      0.330
  1221        21   (g)                -62  1103  1103  2158  2158   140   149      0.395      0.253     -0.542      0.717      0.000
  1222        21   (g)                -62   953   953  1638     0   366   471     -0.368      4.088      0.303      4.116      0.000
  1223        21   (g)                -62  1008  1008  1694     0   245   464     -0.090     -0.091      0.456      0.474      0.000
  1224        21   (g)                -62  1130  1130  1829  1829   452   125     -1.007     -8.219     11.688     14.324      0.000
  1225        21   (g)                -62   552   552  1716     0   277   476     -0.663      0.923     -0.731      1.352      0.000
  1226        21   (g)                -62  1134  1134  1731     0   460   312      2.437     -0.966    -12.434     12.707      0.000
  1227        21   (g)                -62  1062  1062  1636     0   436   331      1.472      0.871     -1.351      2.179      0.000
  1228         2   (u)                -62   713   713  1750  1750   230     0     -0.372      0.331    155.482    155.483      0.330
  1229         1   (d)                -62  1190  1190  2074  2074   284     0     -7.014      5.609      2.220      9.258      0.330
  1230        21   (g)                -62   956   956  1720     0   103   134     -1.726     -2.254      2.531      3.803      0.000
  1231        21   (g)                -62  1101  1101  2156  2156   449   448      1.292      0.010     -1.321      1.848      0.000
  1232        21   (g)                -62   815   815  1640     0   166   337     -0.564      3.401     -1.428      3.732      0.000
  1233        21   (g)                -62  1095  1095  2094  2094   447   171      1.626      2.244     -2.330      3.621      0.000
  1234        21   (g)                -62  1073  1073  1632     0   107   414     -0.085      0.162      0.178      0.255      0.000
  1235        21   (g)                -62   920   920  2081  2081   189   154      0.695      3.129     -0.134      3.208      0.000
  1236        21   (g)                -62   915   915  2098  2098   190   385      0.339      1.000     -1.199      1.598      0.000
  1237        21   (g)                -62   825   825  1682     0   242   307      0.096      0.318      0.342      0.477      0.000
  1238        21   (g)                -62   409   409  2099  2099   217   190      1.900      2.472     -2.700      4.124      0.000
  1239        21   (g)                -62   645   645  1657     0   124   304     -0.684      0.339    296.718    296.719      0.000
  1240        21   (g)                -62  1115  1115  1617     0   108   269     -0.284      0.005      0.155      0.324      0.000
  1241        21   (g)                -62  1011  1011  2100  2100   417   217      2.673      4.223     -3.219      5.945      0.000
  1242        21   (g)                -62  1149  1149  1739     0   204   483     -0.585      0.935      0.381      1.167      0.000
  1243        21   (g)                -62   767   767  1644     0   239   412     -0.138      1.699    259.333    259.339      0.000
  1244        21   (g)                -62   954   954  1729     0   398   129     -1.938     -1.699      1.499      2.981      0.000
  1245        21   (g)                -62  1151  1151  1689     0   237   242      0.226      0.940      1.650      1.912      0.000
  1246        21   (g)                -62  1086  1086  1700     0   444   243     -0.747      0.547     29.207     29.222      0.000
  1247        21   (g)                -62   830   830  1717     0   162   246     -0.024     -0.027      0.042      0.056      0.000
  1248        21   (g)                -62   762   762  1798  1798   326   247     -0.177     -0.331     -8.856      8.864      0.000
  1249        21   (g)                -62  1097  1097  2096  2096   104   393      2.601      2.126     -4.105      5.304      0.000
  1250        21   (g)                -62   843   843  1642     0   357   264      4.691      3.020     -6.184      8.329      0.000
  1251        21   (g)                -62   837   837  1620     0   355   381     -0.027      0.052     -0.013      0.060      0.000
  1252        21   (g)                -62   828   828  2163  2163   352   153      0.496      0.528      0.324      0.793      0.000
  1253        21   (g)                -62   845   845  2093  2093   171   278      2.525      2.167     -3.644      4.935      0.000
  1254        21   (g)                -62   951   951  2077  2077   397   321     -1.147      2.540      0.371      2.812      0.000
  1255        21   (g)                -62   911   911  1624     0   109   429     -0.123      0.176     -1.544      1.559      0.000
  1256        21   (g)                -62  1188  1188  1633     0   281   478     -0.596      0.467     -0.087      0.762      0.000
  1257        21   (g)                -62  1160  1160  2089  2089   438   343      9.906      6.819    -13.897     18.378      0.000
  1258        21   (g)                -62   971   971  1606     0   102   121     -0.362     -0.179      1.997      2.038      0.000
  1259        21   (g)                -62   839   839  1769  1769   273   292     -0.141      0.046      1.139      1.148      0.000
  1260         3   (s)                -62   711   711  1652     0   297     0     -0.010      0.358    425.723    425.724      0.500
  1261        21   (g)                -62   986   986  2171  2171   305   313     -5.486    -12.138      7.457     15.266      0.000
  1262        21   (g)                -62   697   697  2170  2170   313   106     -5.510    -11.173      8.262     14.948      0.000
  1263        21   (g)                -62   872   872  1740     0   314   364     -3.541      2.615     -0.074      4.403      0.000
  1264        -3   (sbar)             -62   712   712  1628     0     0   462      0.168      0.821    352.306    352.307      0.500
  1265        21   (g)                -62   909   909  1799  1799   383   326     -4.237     -0.199    -73.895     74.016      0.000
  1266        21   (g)                -62  1010  1010  1643     0   327   424     -0.131     -0.054      1.372      1.379      0.000
  1267        21   (g)                -62   813   813  2085  2085   331   344      0.017      0.841     -1.313      1.559      0.000
  1268        21   (g)                -62   918   918  1640     0   337   386     -0.294      0.896     -0.521      1.077      0.000
  1269        21   (g)                -62  1088  1088  1902  1902   418   472      0.113      0.018      0.022      0.116      0.000
  1270        21   (g)                -62   808   808  1721     0   342   363     -8.656    -16.438     11.045     21.613      0.000
  1271        21   (g)                -62   814   814  2084  2084   344   166      0.027      1.693     -0.504      1.767      0.000
  1272        21   (g)                -62  1016  1016  1676     0   350   266      0.202     -0.452      0.848      0.982      0.000
  1273        21   (g)                -62   829   829  1723     0   246   262     -0.032     -0.410      0.021      0.412      0.000
  1274        21   (g)                -62   838   838  1768  1768   292   402     -1.877      2.523      9.680     10.178      0.000
  1275        21   (g)                -62   844   844  2092  2092   278   357      0.796      0.181     -0.527      0.971      0.000
  1276        21   (g)                -62   865   865  1780  1780   364   161      0.025      0.095      0.076      0.124      0.000
  1277        -1   (dbar)             -62   871   871  1740     0     0   314     -2.270      1.525      0.333      2.775      0.330
  1278        21   (g)                -62   874   874  2080  2080   154   366      0.102      1.606     -0.420      1.663      0.000
  1279        21   (g)                -62  1071  1071  2103  2103   439   188      0.449      0.045     -0.365      0.581      0.000
  1280        21   (g)                -62   910   910  1625     0   282   383     -0.060     -0.173     -4.421      4.425      0.000
  1281        21   (g)                -62   916   916  2097  2097   385   104      3.415      4.432     -4.383      7.107      0.000
  1282        21   (g)                -62   919   919  2082  2082   386   189      0.734      1.777     -0.617      2.019      0.000
  1283        21   (g)                -62  1116  1116  1623     0   453   394     -0.377     -0.672      0.210      0.799      0.000
  1284        21   (g)                -62   952   952  2078  2078   110   397      0.012     -0.023      0.143      0.145      0.000
  1285        21   (g)                -62   955   955  2166  2166   241   398     -0.802     -1.577      0.623      1.876      0.000
  1286        21   (g)                -62   970   970  1615     0   288   137     -0.780      0.722      5.586      5.686      0.000
  1287        21   (g)                -62  1019  1019  1728     0   408   305     -0.386     -1.676      0.840      1.914      0.000
  1288        21   (g)                -62  1009  1009  1650     0   416   461      0.170      0.983     16.663     16.693      0.000
  1289        21   (g)                -62  1012  1012  2101  2101   233   417      0.288      1.348     -0.682      1.538      0.000
  1290        21   (g)                -62  1015  1015  1678     0   105   474      0.349     -0.396      4.450      4.481      0.000
  1291        -2   (ubar)             -62  1018  1018  1728     0     0   408     -1.909     -5.716      2.605      6.574      0.330
  1292        21   (g)                -62  1158  1158  2087  2087   468   200      0.880      0.233     -0.010      0.910      0.000
  1293        21   (g)                -62  1069  1069  2090  2090   287   438      7.744      5.360     -9.721     13.534      0.000
  1294        21   (g)                -62  1072  1072  2104  2104   182   439      0.537      0.411      0.447      0.811      0.000
  1295        21   (g)                -62  1087  1087  1697     0   340   454     -0.258      0.061     38.897     38.898      0.000
  1296        21   (g)                -62  1096  1096  1637     0   248   447      2.093      2.353     -3.953      5.054      0.000
  1297        21   (g)                -62  1136  1136  1719     0   448   480      0.049     -0.121     -0.057      0.143      0.000
  1298        21   (g)                -62  1102  1102  1733     0   149   440      2.884      0.496     -4.982      5.778      0.000
  1299        21   (g)                -62  1114  1114  1830  1830   232   452     -0.347     -0.583      0.932      1.153      0.000
  1300        21   (g)                -62  1128  1128  1621     0   458   370     -1.143     -2.945      3.536      4.741      0.000
  1301        21   (g)                -62  1129  1129  1619     0   125   185     -0.033     -2.118      2.640      3.385      0.000
  1302        21   (g)                -62  1135  1135  1727     0   164   177      0.238     -0.227     -3.630      3.645      0.000
  1303        21   (g)                -62  1150  1150  1681     0   465   210      0.059     -0.122     -0.068      0.152      0.000
  1304        21   (g)                -62  1159  1159  1631     0   101   468      1.772      0.819     -1.768      2.634      0.000
  1305        21   (g)                -62  1189  1189  2075  2075   478   284     -2.713      1.728      1.289      3.465      0.000
  1306         1   (d)                -61     1     0   732   732   172     0      0.746     -1.762    489.953    489.956      0.000
  1307        21   (g)                -61     2     0   733   733   208   113     -2.950      0.956   -794.305    794.311      0.000
  1308         1   (d)                -62   734   734  1982  1982   259     0      2.332      4.396     46.776     47.041      0.330
  1309         2   (u)                -62   978   978  2006  2006   283     0     -0.284     -0.309     -0.592      0.797      0.330
  1310         1   (d)                -62   923   923  2285  2285   119     0      3.520     -0.810     -4.237      5.578      0.330
  1311        21   (g)                -62  1157  1157  1661     0   218   463      0.696     -0.157      1.421      1.590      0.000
  1312        21   (g)                -62  1133  1133  1940  1940   155   194     -4.036      0.512     -3.865      5.611      0.000
  1313        21   (g)                -62   912   912  1666     0   384   319     -0.258      0.007      0.075      0.268      0.000
  1314        21   (g)                -62   882   882  2015  2015   172   371     -0.288     -0.385     22.189     22.195      0.000
  1315        21   (g)                -62  1131  1131  1942  1942   206   459     -0.378     -0.221     -0.010      0.438      0.000
  1316        -1   (dbar)             -62   842   842  1992  1992     0   112      1.518     -0.694     -6.425      6.646      0.330
  1317        21   (g)                -62   800   800  1664     0   301   111      0.146      0.260     16.979     16.982      0.000
  1318        21   (g)                -62   990   990  1662     0   356   410     -0.345      0.127      0.195      0.416      0.000
  1319        21   (g)                -62   893   893  1669     0   330   260     -0.450     -0.643     -0.562      0.965      0.000
  1320        21   (g)                -62   992   992  1988  1988   250   267     -0.081      0.447      0.938      1.042      0.000
  1321        21   (g)                -62   834   834  1663     0   354   256     -0.164     -0.002     -0.061      0.175      0.000
  1322        21   (g)                -62  1166  1166  1660     0   139   259      0.781      0.473     12.722     12.755      0.000
  1323        21   (g)                -62   749   749  1943  1943   260   206     -2.421     -0.169     -1.701      2.963      0.000
  1324        21   (g)                -62   957   957  1987  1987   267   399      2.311     -0.109      4.051      4.665      0.000
  1325        21   (g)                -62   751   751  1663     0   256   283     -0.224      0.192      0.126      0.320      0.000
  1326        21   (g)                -62   836   836  2009  2009   339   286     -0.503      0.186     13.890     13.901      0.000
  1327        21   (g)                -62  1058  1058  1664     0   415   301      0.162     -0.005      3.537      3.541      0.000
  1328        21   (g)                -62   754   754  1666     0   319   113      0.047      0.174      0.133      0.224      0.000
  1329        21   (g)                -62   816   816  2289  2289   208   345     -2.616      0.222   -558.124    558.131      0.000
  1330        21   (g)                -62   980   980  1665     0   221   375     -0.220     -0.229     -0.338      0.463      0.000
  1331        21   (g)                -62   914   914  1667     0   194   335      0.045     -0.056     -0.170      0.184      0.000
  1332        21   (g)                -62   799   799  2010  2010   111   339      0.346      0.408      5.792      5.817      0.000
  1333        21   (g)                -62   999   999  2288  2288   345   413     -0.244      0.533    -35.512     35.517      0.000
  1334        21   (g)                -62   835   835  2008  2008   286   354      0.155     -0.442      2.794      2.833      0.000
  1335        21   (g)                -62   885   885  1991  1991   112   372      0.321     -0.640      0.025      0.717      0.000
  1336        21   (g)                -62  1007  1007  2014  2014   371   213     -1.733     -0.983    298.354    298.361      0.000
  1337        21   (g)                -62   886   886  1662     0   372   356      0.079      0.358     -0.154      0.397      0.000
  1338        21   (g)                -62   892   892  1668     0   375   330     -0.021     -0.705     -0.246      0.747      0.000
  1339        21   (g)                -62   913   913  1667     0   335   384     -0.708     -1.067     -1.460      1.942      0.000
  1340        21   (g)                -62  1001  1001  2286  2286   387   119      0.288     -0.086     -2.525      2.543      0.000
  1341        21   (g)                -62   958   958  1986  1986   399   218      0.362      0.274      0.350      0.573      0.000
  1342        -2   (ubar)             -62   979   979  1665     0     0   221     -0.670     -1.565     -1.155      2.083      0.330
  1343        21   (g)                -62   991   991  1989  1989   410   250      0.192     -0.183      1.392      1.417      0.000
  1344        21   (g)                -62  1000  1000  2287  2287   413   387     -0.782      0.331   -170.102    170.105      0.000
  1345        21   (g)                -62  1056  1056  2013  2013   213   434      0.052      0.073      0.484      0.492      0.000
  1346        21   (g)                -62  1057  1057  2012  2012   434   415      0.164     -0.679     41.987     41.993      0.000
  1347        21   (g)                -62  1132  1132  1941  1941   459   155     -0.820      0.086     -1.353      1.585      0.000
  1348        21   (g)                -62  1164  1164  1984  1984   467   470      1.055      0.666      5.025      5.177      0.000
  1349        21   (g)                -62  1156  1156  1661     0   463   467      0.448     -0.363      2.223      2.297      0.000
  1350        21   (g)                -62  1165  1165  1660     0   470   139      0.017     -0.028      2.782      2.782      0.000
  1351        21   (g)                -61     1     0   591   591   115   159      2.436      1.088      9.698     10.059      0.000
  1352        21   (g)                -61     2     0   592   592   167   115      0.869     -2.110   -338.565    338.572      0.000
  1353        21   (g)                -62   983   983  1614     0   324   315     -1.334     -0.028      1.593      2.078      0.000
  1354        21   (g)                -62   780   780  2225  2225   272   333      0.004      0.242     -7.522      7.526      0.000
  1355        21   (g)                -62   678   678  2220  2220   118   308      3.640      0.868    -64.706     64.814      0.000
  1356        21   (g)                -62   663   663  2230  2230   303   212      2.553     -0.638    -30.920     31.032      0.000
  1357        21   (g)                -62  1092  1092  2222  2222   446   180      0.610      0.593     -7.998      8.043      0.000
  1358        21   (g)                -62  1110  1110  2228  2228   263   451      0.264     -1.374    -20.268     20.316      0.000
  1359        21   (g)                -62   599   599  1616     0   198   274     -0.199      0.315     -0.790      0.873      0.000
  1360        21   (g)                -62   651   651  2231  2231   212   299      0.353      0.231     -2.374      2.411      0.000
  1361        21   (g)                -62  1109  1109  1736     0   219   320     -0.832      0.053      0.069      0.836      0.000
  1362        21   (g)                -62   602   602  2219  2219   222   118      1.149     -0.222    -25.745     25.771      0.000
  1363        21   (g)                -62  1031  1031  1616     0   228   198      0.265      0.342     -2.220      2.261      0.000
  1364        21   (g)                -62   604   604  2218  2218   167   222      1.227     -0.290   -108.231    108.238      0.000
  1365        21   (g)                -62  1206  1206  2227  2227   486   263     -0.335     -0.075     -0.743      0.818      0.000
  1366        21   (g)                -62   906   906  2224  2224   382   272     -0.939      0.176     -2.957      3.107      0.000
  1367        21   (g)                -62  1154  1154  1612     0   274   117      0.182     -0.894     -0.552      1.066      0.000
  1368        21   (g)                -62  1041  1041  1738     0   426   159      0.064     -0.123      0.914      0.925      0.000
  1369        21   (g)                -62  1029  1029  2232  2232   299   422      0.181      0.178    -11.596     11.599      0.000
  1370        21   (g)                -62  1112  1112  1610     0   141   303      0.151     -0.145     -5.276      5.280      0.000
  1371        21   (g)                -62  1094  1094  1613     0   308   116      0.141      0.056     -8.257      8.258      0.000
  1372         1   (d)                -62  1107  1107  2238  2238   407     0     -1.548     -0.520      1.479      2.228      0.330
  1373        21   (g)                -62   977   977  1737     0   320   114     -0.735     -0.330      0.886      1.197      0.000
  1374        21   (g)                -62  1152  1152  2236  2236   466   324     -0.333     -0.345      0.931      1.047      0.000
  1375        21   (g)                -62  1208  1208  1611     0   333   191     -0.655      0.277     -5.661      5.705      0.000
  1376        21   (g)                -62   907   907  2223  2223   180   382     -0.161      0.064     -4.756      4.759      0.000
  1377        21   (g)                -62  1043  1043  1735     0   114   405      0.027     -0.002     -0.009      0.029      0.000
  1378        21   (g)                -62   982   982  1614     0   315   407     -0.462      0.258      0.327      0.622      0.000
  1379        21   (g)                -62  1030  1030  2233  2233   422   228     -0.653     -0.057    -10.183     10.204      0.000
  1380        21   (g)                -62  1042  1042  1735     0   405   426      0.475      0.701      0.852      1.201      0.000
  1381        21   (g)                -62  1093  1093  1613     0   116   446      0.377     -0.297     -5.893      5.912      0.000
  1382        -1   (dbar)             -62  1108  1108  1736     0     0   219     -0.243     -0.111      0.285      0.511      0.330
  1383        21   (g)                -62  1111  1111  1610     0   451   141      0.276      0.029     -3.954      3.964      0.000
  1384        21   (g)                -62  1153  1153  1612     0   117   466      0.203     -0.403     -0.089      0.460      0.000
  1385        21   (g)                -62  1207  1207  1611     0   191   486     -0.409      0.449     -5.504      5.537      0.000
  1386        21   (g)                -61     1     0   848   848   122   122     -3.183      0.013     69.212     69.285      0.000
  1387        21   (g)                -61     2     0   683   683   120   120     -3.018     -1.671      4.623      5.768      0.000
  1388        21   (g)                -62   504   504  1912  1912   123   237      1.336      1.375      5.296      5.633      0.000
  1389        21   (g)                -62   846   846  2213  2213   358   437     -2.252     -1.071     16.904     17.087      0.000
  1390        21   (g)                -62  1104  1104  1615     0   450   288     -0.599      0.029      2.520      2.591      0.000
  1391        21   (g)                -62   505   505  2049  2049   261   279      0.361      1.354     10.586     10.678      0.000
  1392        21   (g)                -62   682   682  1694     0   309   245     -0.890     -0.937      5.827      5.969      0.000
  1393        21   (g)                -62  1106  1106  1646     0   240   338     -1.063     -0.494      9.787      9.857      0.000
  1394        21   (g)                -62   847   847  1607     0   121   473     -1.745     -1.232      9.367      9.607      0.000
  1395        21   (g)                -62  1105  1105  1646     0   338   193     -1.349     -0.681     13.546     13.630      0.000
  1396        21   (g)                -61     1     0   615   615   128   128      0.012     -0.766    208.103    208.105      0.000
  1397        21   (g)                -61     2     0  1127  1127   126   126      1.800     -1.158   -243.121    243.131      0.000
  1398        21   (g)                -62   617   617  1717     0   129   162     -0.249     -0.128      0.231      0.362      0.000
  1399         2   (u)                -62   692   692  1900  1900   127     0      1.095     -0.167     10.050     10.117      0.330
  1400        21   (g)                -62   619   619  2212  2212   130   358      0.192     -0.661     39.615     39.621      0.000
  1401        21   (g)                -62  1173  1173  1881  1881   142   257     -1.309      0.190     20.143     20.186      0.000
  1402         2   (u)                -62  1025  1025  1692     0   179     0      0.987     -0.537     -3.053      3.270      0.330
  1403        21   (g)                -62  1038  1038  1678     0   425   105      0.288     -0.453      3.608      3.648      0.000
  1404        21   (g)                -62  1061  1061  1718     0   211   277     -0.211      0.152     -0.162      0.307      0.000
  1405        21   (g)                -62   624   624  1693     0   285   444     -0.211      0.217     11.213     11.217      0.000
  1406        21   (g)                -62  1059  1059  1618     0   201   306     -1.226     -0.686     -0.263      1.430      0.000
  1407        21   (g)                -62   863   863  1709     0   215   270     -0.088     -0.035      3.943      3.945      0.000
  1408        21   (g)                -62   881   881  1721     0   363   103     -0.236     -0.440      0.278      0.572      0.000
  1409        21   (g)                -62   628   628  1706     0   291   223      0.362      0.118      4.811      4.826      0.000
  1410        -2   (ubar)             -62   629   629  1630     0     0   150      0.565      1.013     -4.428      4.589      0.330
  1411        21   (g)                -62  1040  1040  1672     0   252   181      0.156     -0.315      4.032      4.047      0.000
  1412        21   (g)                -62   879   879  1621     0   370   453     -0.380     -0.647      0.787      1.088      0.000
  1413        21   (g)                -62   632   632  1649     0   187   236     -0.268      0.024      8.459      8.463      0.000
  1414        21   (g)                -62   638   638  1712     0   207   184      1.242      0.510     20.708     20.752      0.000
  1415        21   (g)                -62   634   634  1709     0   270   156     -0.533     -0.373     44.360     44.364      0.000
  1416        21   (g)                -62   972   972  1715     0   294   146      1.434     -0.691   -196.381    196.387      0.000
  1417        -2   (ubar)             -62   637   637  1852  1852     0   291      2.159      0.880     12.864     13.078      0.330
  1418        21   (g)                -62  1175  1175  1698     0   311   142     -0.535      0.470     12.023     12.044      0.000
  1419        21   (g)                -62   862   862  1686     0   216   350      0.351     -0.268      0.726      0.850      0.000
  1420        21   (g)                -62   880   880  1622     0   269   435     -0.961     -0.107      0.172      0.983      0.000
  1421        21   (g)                -62  1187  1187  1637     0   393   248      0.436      0.409     -0.894      1.075      0.000
  1422        21   (g)                -62  1023  1023  1715     0   310   294      0.023     -0.039    -16.806     16.806      0.000
  1423        21   (g)                -62  1024  1024  1742     0   420   377      0.669      0.164     -8.523      8.551      0.000
  1424        21   (g)                -62  1039  1039  1698     0   243   311     -0.148      0.210      6.084      6.090      0.000
  1425        21   (g)                -62  1060  1060  1622     0   435   201     -1.851     -0.649      0.613      2.055      0.000
  1426        21   (g)                -62  1185  1185  1741     0   477   186      0.009      0.113     -9.294      9.294      0.000
  1427        21   (g)                -62  1174  1174  1607     0   473   450     -0.157     -0.079      0.604      0.629      0.000
  1428        21   (g)                -62  1186  1186  2153  2153   457   164      0.208     -0.118     -0.540      0.590      0.000
  1429         1   (d)                -61     1     0  1076  1076   160     0      1.039     -0.636   1767.471   1767.471      0.000
  1430        21   (g)                -61     2     0   674   674   115   160      3.186      0.462    -49.721     49.825      0.000
  1431         2   (u)                -62   965   965  1878  1878   133     0     -0.754      0.868      4.304      4.467      0.330
  1432        21   (g)                -62   561   561  1720     0   134   241     -0.142     -0.145      0.169      0.264      0.000
  1433         1   (d)                -62   641   641  2035  2035   115     0      0.035     -0.868    536.011    536.012      0.330
  1434        21   (g)                -62  1074  1074  1733     0   440   449      1.834     -0.001     -3.458      3.914      0.000
  1435        21   (g)                -62   938   938  1655     0   176   254      0.045      1.394    106.303    106.312      0.000
  1436         3   (s)                -62   699   699  1702     0   170     0      2.561      1.644    -26.323     26.503      0.500
  1437        21   (g)                -62  1053  1053  1659     0   424   187     -0.634     -0.082      6.723      6.754      0.000
  1438        21   (g)                -62  1181  1181  1671     0   132   226      0.057     -0.157      2.600      2.606      0.000
  1439        21   (g)                -62  1121  1121  1696     0   391   374      0.020      0.232      9.301      9.303      0.000
  1440        21   (g)                -62  1067  1067  1680     0   379   348      0.090     -0.053      0.080      0.131      0.000
  1441        21   (g)                -62  1077  1077  1652     0   304   297     -0.245      0.010    151.246    151.246      0.000
  1442        -2   (ubar)             -62   902   902  2052  2052     0   411      0.588     -0.259      4.155      4.217      0.330
  1443        21   (g)                -62  1122  1122  2210  2210   225   400      0.658     -0.016     92.949     92.952      0.000
  1444        21   (g)                -62   924   924  1725     0   388   140     -0.233      0.315     -0.159      0.423      0.000
  1445        21   (g)                -62  1119  1119  1697     0   454   300     -0.275      0.150     35.443     35.444      0.000
  1446        21   (g)                -62  1065  1065  1608     0   437   316     -2.070     -0.706     10.919     11.136      0.000
  1447        21   (g)                -62   831   831  1626     0   271   231     -0.269     -0.000     -0.918      0.957      0.000
  1448        21   (g)                -62  1179  1179  1675     0   280   132      0.198     -0.349      7.416      7.426      0.000
  1449        21   (g)                -62  1124  1124  1605     0   295   195      0.289     -0.251     67.559     67.560      0.000
  1450        21   (g)                -62   960   960  2211  2211   400   130     -0.003     -0.276     57.982     57.983      0.000
  1451        21   (g)                -62   667   667  1655     0   254   229     -0.188      0.786     72.807     72.811      0.000
  1452        21   (g)                -62   673   673  1618     0   306   232     -0.131     -0.099     -0.037      0.168      0.000
  1453        -3   (sbar)             -62   926   926  1690     0     0   268      1.872      0.779    -14.180     14.332      0.500
  1454        21   (g)                -62   963   963  1677     0   353   379      0.735     -0.437      0.139      0.866      0.000
  1455        21   (g)                -62   889   889  1693     0   374   285     -0.212      0.315     12.481     12.486      0.000
  1456        21   (g)                -62   901   901  1684     0   197   425      0.261     -1.066      8.129      8.203      0.000
  1457        21   (g)                -62   925   925  1626     0   231   360     -0.591      0.161     -2.364      2.442      0.000
  1458        21   (g)                -62   937   937  1714     0   196   409      0.790     -0.206     27.487     27.499      0.000
  1459        21   (g)                -62  1140  1140  1628     0   462   487      0.028      0.102     36.624     36.624      0.000
  1460        21   (g)                -62   964   964  1724     0   401   419     -0.266      0.096     -0.088      0.296      0.000
  1461        21   (g)                -62  1052  1052  1648     0   421   240     -0.073      0.106      1.703      1.707      0.000
  1462        21   (g)                -62  1050  1050  1713     0   431   175     -0.751     -0.827     29.103     29.124      0.000
  1463        21   (g)                -62  1051  1051  1679     0   181   280      0.207     -0.260      4.655      4.666      0.000
  1464        21   (g)                -62  1142  1142  1708     0   432   445     -0.024     -0.172      4.700      4.703      0.000
  1465        21   (g)                -62  1066  1066  1699     0   257   309     -0.801     -0.951      5.920      6.050      0.000
  1466        21   (g)                -62  1075  1075  1635     0   131   275     -0.132      0.213     -0.631      0.679      0.000
  1467        21   (g)                -62  1078  1078  1605     0   441   295      0.438     -0.367    103.902    103.903      0.000
  1468        21   (g)                -62  1120  1120  2044  2044   163   176      0.631      0.396     68.083     68.087      0.000
  1469        21   (g)                -62  1123  1123  2208  2208   455   441      0.665     -0.597    287.102    287.103      0.000
  1470        21   (g)                -62  1141  1141  1673     0   296   298      0.092     -0.025      0.471      0.481      0.000
  1471        21   (g)                -62  1180  1180  1648     0   475   421     -0.074      0.428      9.443      9.453      0.000
  1472        21   (g)                -61     1     0   245   245   148   148      0.922      2.187    851.900    851.903      0.000
  1473        21   (g)                -61     2     0   905   905   143   143     -3.327     -0.791     -8.177      8.864      0.000
  1474         1   (d)                -62   359   359  1766  1766   135     0     -0.874      0.134      3.950      4.061      0.330
  1475        21   (g)                -62  1194  1194  1719     0   480   390      0.284     -0.939     -0.694      1.202      0.000
  1476        21   (g)                -62   270   270  1609     0   195   225      1.319     -1.470    353.505    353.511      0.000
  1477        21   (g)                -62   935   935  1703     0   361   318     -0.057      0.141      0.584      0.603      0.000
  1478        21   (g)                -62  1148  1148  1617     0   381   108     -0.108      0.009      0.087      0.140      0.000
  1479        -1   (dbar)             -62   456   456  1887  1887     0   340     -0.347     -0.572    182.811    182.812      0.330
  1480        -1   (dbar)             -62   995   995  1834  1834     0   355     -0.289      2.553      6.748      7.228      0.330
  1481         1   (d)                -62   783   783  1844  1844   334     0     -1.197      0.586    176.651    176.657      0.330
  1482        21   (g)                -62   789   789  1685     0   336   192     -0.090     -0.450      4.467      4.491      0.000
  1483        21   (g)                -62  1004  1004  1674     0   136   365     -0.042     -0.213      0.837      0.864      0.000
  1484        21   (g)                -62  1163  1163  1726     0   258   485     -0.049     -0.983     -0.638      1.173      0.000
  1485        21   (g)                -62  1161  1161  1722     0   469   392     -0.303      0.109     -0.291      0.434      0.000
  1486        21   (g)                -62   993   993  1654     0   411   423      0.189      0.878      4.558      4.645      0.000
  1487        21   (g)                -62  1169  1169  1704     0   318   135     -0.071      0.632      2.009      2.108      0.000
  1488        21   (g)                -62   784   784  1885  1885   251   341     -0.660      1.127     93.780     93.789      0.000
  1489        21   (g)                -62   790   790  1656     0   253   416      0.426      0.627      8.584      8.617      0.000
  1490        21   (g)                -62  1196  1196  1638     0   471   110     -0.072      0.480      0.113      0.498      0.000
  1491         1   (d)                -62   933   933  2217  2217   137     0     -1.297      1.750      4.808      5.289      0.330
  1492        21   (g)                -62   904   904  1634     0   188   378      0.032      0.639      0.283      0.700      0.000
  1493        21   (g)                -62   931   931  1730     0   390   258      1.117     -4.147     -3.505      5.544      0.000
  1494        -1   (dbar)             -62   934   934  1771  1771     0   403     -0.106      0.407      1.155      1.273      0.330
  1495        21   (g)                -62   994   994  1682     0   307   216      0.325      0.382      0.710      0.869      0.000
  1496        21   (g)                -62  1146  1146  1695     0   464   325     -0.610     -0.161      1.382      1.519      0.000
  1497        21   (g)                -62  1147  1147  1632     0   414   182     -0.384      0.582      0.914      1.150      0.000
  1498        21   (g)                -62  1162  1162  1723     0   262   352      0.135     -0.559      0.014      0.575      0.000
  1499        21   (g)                -62  1168  1168  1680     0   348   123      0.289      0.023      0.632      0.695      0.000
  1500        21   (g)                -62  1195  1195  1670     0   138   238      0.034     -0.171      0.268      0.320      0.000
  1501        21   (g)                -61     1     0   770   770   147   147     -0.841     -2.488     99.575     99.609      0.000
  1502        21   (g)                -61     2     0   524   524   145   145     -0.136     -2.557   -975.772    975.775      0.000
  1503        21   (g)                -62   424   424  1727     0   177   362      1.640     -1.147    -18.884     18.990      0.000
  1504         3   (s)                -62   219   219  1964  1964   146     0     -1.263     -0.625   -543.420    543.422      0.500
  1505        21   (g)                -62   849   849  1683     0   322   165     -0.003     -0.463      6.352      6.369      0.000
  1506        -3   (sbar)             -62   323   323  1627     0     0   244     -0.238     -0.316    -12.039     12.056      0.500
  1507        -3   (sbar)             -62   768   768  1817  1817     0   328     -0.462     -2.422   -187.505    187.522      0.500
  1508        21   (g)                -62  1172  1172  1695     0   325   133     -0.121      0.011      0.254      0.281      0.000
  1509         3   (s)                -62   358   358  2150  2150   144     0     -0.371      1.604     -2.602      3.119      0.500
  1510        21   (g)                -62   357   357  1705     0   220   273     -1.346      0.530      2.142      2.584      0.000
  1511        21   (g)                -62  1083  1083  1813  1813   235   430      1.674     -0.134    -23.329     23.390      0.000
  1512        21   (g)                -62  1049  1049  1690     0   268   367      0.500      0.402     -3.935      3.987      0.000
  1513        21   (g)                -62  1137  1137  1650     0   461   475      0.134      0.385      8.739      8.748      0.000
  1514        21   (g)                -62   730   730  1683     0   165   336     -0.256     -1.033     16.991     17.025      0.000
  1515        21   (g)                -62  1170  1170  1647     0   279   302      0.179      0.518      5.176      5.205      0.000
  1516        21   (g)                -62   769   769  1816  1816   328   477     -0.868     -1.286   -167.196    167.203      0.000
  1517        21   (g)                -62  1139  1139  1711     0   359   215     -1.904     -1.324     51.936     51.988      0.000
  1518        21   (g)                -62  1085  1085  1742     0   430   420      0.382      0.000     -4.121      4.138      0.000
  1519        21   (g)                -62  1084  1084  1702     0   443   170      1.228      0.422    -11.968     12.038      0.000
  1520        21   (g)                -62  1138  1138  1643     0   193   327     -0.458     -0.233      5.132      5.157      0.000
  1521        21   (g)                -62  1171  1171  1688     0   472   296      0.577      0.066      2.082      2.161      0.000
  1522        21   (g)                -61     1     0   124   124   152   152     -0.889      0.228     27.039     27.054      0.000
  1523        21   (g)                -61     2     0   125   125   151   151      2.113     -0.340     -9.446      9.685      0.000
  1524        21   (g)                -62   648   648  1630     0   150   178      0.017      0.017     -0.078      0.082      0.000
  1525        21   (g)                -62   289   289  1639     0   178   173      0.699      1.496     -5.182      5.439      0.000
  1526        21   (g)                -62  1182  1182  1674     0   238   136     -0.021     -0.187      0.476      0.512      0.000
  1527        21   (g)                -62   869   869  1685     0   192   329     -0.355     -0.857      6.354      6.422      0.000
  1528        21   (g)                -62   876   876  1691     0   367   183      0.333      0.162     -1.254      1.308      0.000
  1529        21   (g)                -62   810   810  1671     0   226   322      0.017     -0.078      1.348      1.351      0.000
  1530        21   (g)                -62  1203  1203  1724     0   153   401     -0.545      0.020     -0.028      0.546      0.000
  1531        21   (g)                -62   812   812  1677     0   289   353      0.254     -0.110      0.001      0.277      0.000
  1532        21   (g)                -62   708   708  1673     0   298   127      1.186     -0.112      6.826      6.929      0.000
  1533        21   (g)                -62   867   867  1606     0   316   102     -0.866     -0.380      4.749      4.842      0.000
  1534        21   (g)                -62  1205  1205  1633     0   321   281     -0.211      0.213     -0.076      0.309      0.000
  1535        21   (g)                -62   811   811  1631     0   343   101      0.158      0.087     -0.185      0.259      0.000
  1536        21   (g)                -62   868   868  1684     0   365   197      0.033     -0.681      6.008      6.047      0.000
  1537        21   (g)                -62  1184  1184  1636     0   200   436      0.873      0.578     -0.669      1.243      0.000
  1538        21   (g)                -62  1183  1183  1716     0   476   388     -0.222      0.286     -0.211      0.419      0.000
  1539        21   (g)                -62  1204  1204  1726     0   485   457     -0.128     -0.567     -0.485      0.757      0.000
  1540        21   (g)                -61     1     0  1193  1193   159   160      0.668     -0.233    219.141    219.142      0.000
  1541         1   (d)                -61     2     0   526   526   160     0     -2.289      1.354      5.502      6.112      0.000
  1542        21   (g)                -62  1089  1089  1845  1845   156   334     -1.363     -2.147    175.466    175.485      0.000
  1543        21   (g)                -62   528   528  2050  2050   158   261     -0.060      3.457     21.461     21.738      0.000
  1544        21   (g)                -62  1191  1191  1645     0   157   158     -0.067      0.433      2.299      2.340      0.000
  1545         1   (d)                -62   989   989  1738     0   159     0     -0.437      0.049      0.477      0.728      0.330
  1546        21   (g)                -62  1091  1091  1707     0   409   479      0.198     -0.057      4.220      4.225      0.000
  1547        21   (g)                -62  1090  1090  1708     0   445   431     -0.231     -0.369     12.414     12.422      0.000
  1548        21   (g)                -62  1192  1192  1707     0   479   432      0.339     -0.243      8.306      8.316      0.000
  1549        21   (g)                -61     1     0   806   806   167   168      0.031      2.110    102.228    102.250      0.000
  1550        -1   (dbar)             -61     2     0   206   206     0   167     -0.409      1.570     -5.526      5.759      0.000
  1551        21   (g)                -62   660   660  1706     0   223   207      1.166      0.444     17.215     17.260      0.000
  1552        -1   (dbar)             -62   549   549  1870  1870     0   168     -2.006      1.947     -2.893      4.037      0.330
  1553        21   (g)                -62   771   771  1903  1903   329   418     -0.893     -1.103     10.266     10.364      0.000
  1554        21   (g)                -62   821   821  1710     0   169   196      1.111      0.050     28.477     28.498      0.000
  1555        21   (g)                -62  1032  1032  1711     0   175   359     -0.319     -0.283      8.052      8.063      0.000
  1556        21   (g)                -62   929   929  1641     0   275   107     -0.510      0.404     -1.208      1.372      0.000
  1557        21   (g)                -62   804   804  1647     0   302   253      0.923      1.911     18.915     19.034      0.000
  1558        21   (g)                -62  1034  1034  1670     0   266   138      0.031     -0.113      0.161      0.199      0.000
  1559        21   (g)                -62   805   805  1696     0   341   391      0.166      0.393     16.692     16.697      0.000
  1560        -1   (dbar)             -62   927   927  1681     0     0   465     -0.112     -0.004      0.144      0.377      0.330
  1561         1   (d)                -62   928   928  1777  1777   346     0      0.065     -0.287     -0.512      0.677      0.330
  1562        21   (g)                -62  1033  1033  1645     0   423   157     -0.001      0.321      1.394      1.430      0.000
  1563        -2   (ubar)             -61     1     0   854   854     0   172     -1.469     -0.887      0.017      1.716      0.000
  1564        21   (g)                -61     2     0  1046  1046   172   310      1.389      1.821    -43.877     43.937      0.000
  1565        -2   (ubar)             -62   939   939  1966  1966     0   310     -0.099      1.208      0.023      1.256      0.330
  1566        21   (g)                -62   852   852  1814  1814   174   235      0.690     -0.735    -21.296     21.320      0.000
  1567        21   (g)                -62  1082  1082  1625     0   429   282     -0.030     -0.221     -3.923      3.929      0.000
  1568        21   (g)                -62   941   941  1635     0   173   131     -0.212      0.388     -1.826      1.879      0.000
  1569        21   (g)                -62   694   694  1731     0   312   144      0.457     -0.030     -1.997      2.049      0.000
  1570        21   (g)                -62   853   853  1624     0   360   109     -0.202      0.358     -2.573      2.606      0.000
  1571        21   (g)                -62   940   940  1718     0   392   211     -0.517      0.228     -0.357      0.668      0.000
  1572        21   (g)                -62  1080  1080  1627     0   244   271     -0.428     -0.274     -4.237      4.267      0.000
  1573        21   (g)                -62  1081  1081  1745     0   442   174      0.259      0.012     -7.674      7.679      0.000
  1574        21   (g)                -61     1     0   860   860   227   227     -0.155      1.471    478.799    478.802      0.000
  1575        21   (g)                -61     2     0   716   716   205   205      2.549      2.091    -44.725     44.846      0.000
  1576        21   (g)                -62   858   858  1734     0   362   460      0.573     -0.169     -4.690      4.728      0.000
  1577        21   (g)                -62   948   948  1619     0   185   458      0.014     -0.188      0.212      0.284      0.000
  1578        21   (g)                -62  1211  1211  1701     0   300   251     -0.372      0.598     80.116     80.119      0.000
  1579        21   (g)                -62   896   896  1741     0   186   442     -0.018      0.036     -1.152      1.153      0.000
  1580        21   (g)                -62   996   996  1644     0   412   124     -0.066      0.329     51.667     51.668      0.000
  1581        21   (g)                -62  1178  1178  1710     0   184   169      0.183      0.079      5.637      5.641      0.000
  1582        21   (g)                -62  1209  1209  1653     0   229   239      0.049      1.059    150.203    150.206      0.000
  1583        21   (g)                -62  1199  1199  1743     0   377   317      0.652      0.344     -8.375      8.408      0.000
  1584        21   (g)                -62   859   859  1692     0   183   179      1.282     -0.023     -3.260      3.503      0.000
  1585         2   (u)                -62  1197  1197  1743     0   317     0      1.786      0.552    -18.701     18.797      0.330
  1586        21   (g)                -62  1202  1202  1722     0   396   469     -0.711      0.104     -0.818      1.088      0.000
  1587        21   (g)                -62   998   998  1703     0   402   361     -0.237      0.476      1.811      1.888      0.000
  1588        21   (g)                -62   997   997  1649     0   236   163     -0.792      0.081     35.939     35.947      0.000
  1589        21   (g)                -62  1200  1200  1739     0   483   346     -0.151      0.271      0.093      0.324      0.000
  1590        21   (g)                -62  1177  1177  1672     0   474   252      0.163     -0.248      3.086      3.101      0.000
  1591        -2   (ubar)             -62  1198  1198  1747  1747     0   443      0.463      0.111     -6.310      6.337      0.330
  1592        21   (g)                -62  1201  1201  1732     0   419   396     -0.820     -0.153     -0.731      1.109      0.000
  1593        21   (g)                -62  1210  1210  1629     0   487   230      0.395      0.302    149.347    149.348      0.000
  1594        21   (g)                -61     1     0   319   319   208   115      0.977     -0.099      0.947      1.365      0.000
  1595        -2   (ubar)             -61     2     0   320   320     0   208      1.262      1.628     -2.349      3.125      0.000
  1596        21   (g)                -62   321   321  1915  1915   210   289      1.518     -0.844     -0.821      1.921      0.000
  1597        -2   (ubar)             -62   322   322  2036  2036     0   115      0.722      2.373     -0.582      2.569      0.330
  1598         2   (u)                -63     1     0  2239  2239   160     0     -0.727      0.213     13.171     13.197      0.330
  1599        -1   (dbar)             -63     1     0  2290  2290     0   208     -0.084     -0.011    820.448    820.448      0.330
  1600         2   (u)                -63     1     0  1869  1869   168     0     -1.410     -0.305     54.716     54.736      0.330
  1601      2103   (ud_1)             -63     2     0  1788  1788     0   491     -0.115     -0.638  -3681.704   3681.704      0.771
  1602        -1   (dbar)             -63     2     0  2016  2016     0   172      0.024      0.198     -0.662      0.767      0.330
  1603         1   (d)                -63     2     0  1937  1937   113     0     -0.182     -0.124   -132.321    132.321      0.330
  1604         2   (u)                -63     2     0  1787  1787   491     0     -0.547     -0.204    -15.751     15.766      0.330
  1605        21   (g)                -73  1449  1467  1609     0   441   195      0.727     -0.618    171.461    171.463      0.016
  1606        21   (g)                -73  1258  1533  1608     0   316   121     -1.228     -0.559      6.746      6.880      0.030
  1607        21   (g)                -73  1394  1427  2215  2215   121   450     -1.902     -1.311      9.971     10.236      0.169
  1608        21   (g)                -73  1446  1606  2214  2214   437   121     -3.299     -1.265     17.665     18.016      0.176
  1609        21   (g)                -73  1476  1605  2209  2209   441   225      2.046     -2.087    524.966    524.974      0.187
  1610        21   (g)                -73  1370  1383  2229  2229   451   303      0.427     -0.116     -9.230      9.244      0.246
  1611        21   (g)                -73  1375  1385  2226  2226   333   486     -1.064      0.726    -11.164     11.242      0.294
  1612        21   (g)                -73  1367  1384  2235  2235   274   466      0.385     -1.297     -0.640      1.526      0.298
  1613        21   (g)                -73  1371  1381  2221  2221   308   446      0.518     -0.241    -14.150     14.171      0.515
  1614        21   (g)                -73  1353  1378  2237  2237   324   407     -1.796      0.230      1.920      2.700      0.570
  1615        21   (g)                -73  1286  1390  2216  2216   450   137     -1.379      0.751      8.106      8.277      0.573
  1616        21   (g)                -73  1359  1363  2234  2234   228   274      0.066      0.657     -3.010      3.135      0.577
  1617        21   (g)                -73  1240  1478  1620     0   381   269     -0.393      0.014      0.242      0.463      0.040
  1618        21   (g)                -73  1406  1452  1831  1831   201   232     -1.357     -0.785     -0.301      1.597      0.068
  1619        21   (g)                -73  1301  1577  1828  1828   125   458     -0.020     -2.307      2.853      3.669      0.075
  1620        21   (g)                -73  1251  1617  1833  1833   355   269     -0.420      0.066      0.229      0.523      0.201
  1621        21   (g)                -73  1300  1412  1827  1827   458   453     -1.523     -3.592      4.323      5.829      0.258
  1622        21   (g)                -73  1420  1425  1832  1832   269   201     -2.812     -0.757      0.785      3.038      0.360
  1623         2   (u)                -73  1219  1283  1826  1826   453     0     -1.696     -4.529      2.507      5.489      0.676
  1624        21   (g)                -73  1255  1570  1801  1801   360   429     -0.325      0.534     -4.118      4.165      0.049
  1625        21   (g)                -73  1280  1567  1800  1800   429   383     -0.090     -0.394     -8.344      8.354      0.077
  1626        21   (g)                -73  1447  1457  1802  1802   271   360     -0.860      0.161     -3.282      3.398      0.119
  1627        -3   (sbar)             -73  1506  1572  1803  1803     0   271     -0.666     -0.591    -16.276     16.323      0.864
  1628        -3   (sbar)             -73  1264  1459  1629     0     0   487      0.196      0.922    388.930    388.931      0.529
  1629        -3   (sbar)             -73  1593  1628  1751  1751     0   230      0.591      1.225    538.277    538.279      0.813
  1630        -2   (ubar)             -73  1410  1524  1639     0     0   178      0.582      1.030     -4.506      4.671      0.338
  1631        21   (g)                -73  1304  1535  2088  2088   343   468      1.930      0.906     -1.953      2.892      0.066
  1632        21   (g)                -73  1234  1497  2105  2105   107   182     -0.469      0.744      1.092      1.405      0.086
  1633        21   (g)                -73  1256  1534  2076  2076   321   478     -0.807      0.679     -0.163      1.071      0.089
  1634        21   (g)                -73  1218  1492  2102  2102   188   233      0.036      1.084      0.382      1.156      0.113
  1635        21   (g)                -73  1466  1568  1641     0   173   275     -0.344      0.601     -2.457      2.558      0.160
  1636        21   (g)                -73  1227  1537  2086  2086   200   331      2.345      1.449     -2.020      3.422      0.178
  1637        21   (g)                -73  1296  1421  2095  2095   393   447      2.529      2.762     -4.847      6.129      0.231
  1638        21   (g)                -73  1222  1490  2079  2079   366   110     -0.440      4.568      0.416      4.614      0.238
  1639        -2   (ubar)             -73  1525  1630  2107  2107     0   173      1.281      2.526     -9.688     10.110      0.571
  1640        21   (g)                -73  1232  1268  2083  2083   166   386     -0.858      4.297     -1.949      4.809      0.355
  1641        21   (g)                -73  1556  1635  2106  2106   173   107     -0.853      1.005     -3.665      3.930      0.521
  1642        21   (g)                -73  1214  1250  2091  2091   357   287     50.538     34.649    -68.522     91.925      0.576
  1643        21   (g)                -73  1266  1520  1651     0   193   424     -0.589     -0.287      6.503      6.536      0.022
  1644        21   (g)                -73  1243  1580  1653     0   239   124     -0.204      2.029    311.000    311.006      0.089
  1645        21   (g)                -73  1544  1562  1654     0   423   158     -0.068      0.754      3.693      3.771      0.090
  1646        21   (g)                -73  1393  1395  1651     0   240   193     -2.412     -1.175     23.334     23.488      0.104
  1647        21   (g)                -73  1515  1557  1656     0   279   253      1.102      2.429     24.091     24.239      0.142
  1648        21   (g)                -73  1461  1471  1658     0   475   240     -0.146      0.535     11.146     11.161      0.156
  1649        21   (g)                -73  1413  1588  2045  2045   187   163     -1.060      0.105     44.398     44.411      0.168
  1650        21   (g)                -73  1288  1513  1658     0   416   475      0.304      1.368     25.402     25.441      0.190
  1651        21   (g)                -73  1643  1646  1659     0   240   424     -3.001     -1.462     29.837     30.024      0.215
  1652         3   (s)                -73  1260  1441  1657     0   304     0     -0.255      0.367    576.969    576.970      0.736
  1653        21   (g)                -73  1582  1644  2042  2042   229   124     -0.155      3.088    461.202    461.213      0.264
  1654        21   (g)                -73  1486  1645  2051  2051   411   158      0.122      1.632      8.251      8.416      0.284
  1655        21   (g)                -73  1435  1451  2043  2043   176   229     -0.143      2.180    179.110    179.123      0.335
  1656        21   (g)                -73  1489  1647  2048  2048   279   416      1.528      3.056     32.675     32.856      0.435
  1657         3   (s)                -73  1239  1652  2041  2041   124     0     -0.939      0.706    873.687    873.689      1.207
  1658        21   (g)                -73  1648  1650  2047  2047   416   240      0.158      1.903     36.548     36.602      0.566
  1659        21   (g)                -73  1437  1651  2046  2046   240   187     -3.635     -1.544     36.561     36.778      0.580
  1660        21   (g)                -73  1322  1350  1983  1983   470   259      0.798      0.445     15.504     15.537      0.433
  1661        21   (g)                -73  1311  1349  1985  1985   218   467      1.144     -0.520      3.644      3.887      0.498
  1662        21   (g)                -73  1318  1337  1990  1990   372   410     -0.266      0.485      0.040      0.813      0.595
  1663        21   (g)                -73  1321  1325  2007  2007   354   283     -0.387      0.189      0.065      0.495      0.235
  1664        21   (g)                -73  1317  1327  2011  2011   415   111      0.308      0.256     20.516     20.522      0.316
  1665        -2   (ubar)             -73  1330  1342  1668     0     0   375     -0.890     -1.794     -1.493      2.547      0.499
  1666        21   (g)                -73  1313  1328  1938  1938   384   113     -0.211      0.181      0.208      0.492      0.349
  1667        21   (g)                -73  1331  1339  1939  1939   194   384     -0.663     -1.123     -1.630      2.126      0.404
  1668        -2   (ubar)             -73  1338  1665  1669     0     0   330     -0.910     -2.499     -1.739      3.294      0.868
  1669        -2   (ubar)             -73  1319  1668  1944  1944     0   260     -1.360     -3.141     -2.301      4.258      1.061
  1670        21   (g)                -73  1500  1558  1676     0   266   238      0.065     -0.283      0.430      0.519      0.017
  1671        21   (g)                -73  1438  1529  1675     0   132   322      0.073     -0.235      3.949      3.956      0.018
  1672        21   (g)                -73  1411  1590  1679     0   474   181      0.319     -0.564      7.118      7.148      0.050
  1673        21   (g)                -73  1470  1532  1688     0   296   127      1.278     -0.137      7.297      7.410      0.076
  1674        21   (g)                -73  1483  1526  1909  1909   238   365     -0.063     -0.399      1.313      1.376      0.084
  1675        21   (g)                -73  1448  1671  1687     0   280   322      0.272     -0.584     11.364     11.383      0.086
  1676        21   (g)                -73  1272  1670  1686     0   350   238      0.267     -0.736      1.278      1.501      0.092
  1677        21   (g)                -73  1454  1531  1914  1914   289   379      0.989     -0.547      0.140      1.143      0.099
  1678        21   (g)                -73  1290  1403  1907  1907   425   474      0.637     -0.849      8.059      8.130      0.146
  1679        21   (g)                -73  1463  1672  1687     0   474   280      0.526     -0.824     11.773     11.814      0.148
  1680        21   (g)                -73  1440  1499  1913  1913   379   123      0.378     -0.030      0.712      0.826      0.180
  1681        -1   (dbar)             -73  1303  1560  1916  1916     0   210     -0.053     -0.126      0.076      0.529      0.505
  1682        21   (g)                -73  1237  1495  1689     0   242   216      0.421      0.700      1.051      1.345      0.195
  1683        21   (g)                -73  1505  1514  1905  1905   322   336     -0.259     -1.496     23.343     23.394      0.196
  1684        21   (g)                -73  1456  1536  1908  1908   365   425      0.294     -1.746     14.137     14.250      0.223
  1685        21   (g)                -73  1482  1527  1904  1904   336   329     -0.445     -1.308     10.822     10.913      0.262
  1686        21   (g)                -73  1419  1676  1910  1910   216   238      0.618     -1.003      2.004      2.351      0.350
  1687        21   (g)                -73  1675  1679  1906  1906   474   322      0.798     -1.408     23.137     23.197      0.402
  1688        21   (g)                -73  1521  1673  1901  1901   472   127      1.854     -0.071      9.379      9.571      0.443
  1689        21   (g)                -73  1245  1682  1911  1911   237   216      0.647      1.640      2.701      3.258      0.457
  1690        -3   (sbar)             -73  1453  1512  1691     0     0   367      2.372      1.181    -18.115     18.320      0.667
  1691        -3   (sbar)             -73  1528  1690  1755  1755     0   183      2.704      1.343    -19.369     19.627      0.978
  1692         2   (u)                -73  1402  1584  1754  1754   183     0      2.269     -0.559     -6.313      6.773      0.747
  1693        21   (g)                -73  1405  1455  1700     0   374   444     -0.424      0.532     23.693     23.703      0.072
  1694        21   (g)                -73  1223  1392  1699     0   309   464     -0.980     -1.028      6.284      6.443      0.095
  1695        21   (g)                -73  1496  1508  1879  1879   464   133     -0.731     -0.150      1.636      1.801      0.098
  1696        21   (g)                -73  1439  1559  1884  1884   341   374      0.186      0.624     25.992     26.001      0.099
  1697        21   (g)                -73  1295  1445  1701     0   340   300     -0.534      0.211     74.339     74.342      0.107
  1698        21   (g)                -73  1418  1424  1882  1882   243   142     -0.683      0.680     18.107     18.133      0.177
  1699        21   (g)                -73  1465  1694  1880  1880   257   464     -1.782     -1.979     12.204     12.492      0.182
  1700        21   (g)                -73  1246  1693  1883  1883   374   243     -1.170      1.080     52.901     52.925      0.249
  1701        21   (g)                -73  1578  1697  1886  1886   340   251     -0.906      0.809    154.456    154.461      0.435
  1702         3   (s)                -73  1436  1519  1746  1746   443     0      3.789      2.066    -38.291     38.541      0.778
  1703        21   (g)                -73  1477  1587  1704     0   402   318     -0.294      0.617      2.395      2.491      0.039
  1704        21   (g)                -73  1487  1703  1767  1767   402   135     -0.366      1.250      4.404      4.598      0.234
  1705        21   (g)                -73  1217  1510  1770  1770   403   273     -1.862      0.927      3.275      3.891      0.303
  1706        21   (g)                -73  1409  1551  1712     0   291   207      1.529      0.562     22.026     22.086      0.069
  1707        21   (g)                -73  1546  1548  1714     0   409   432      0.537     -0.300     12.526     12.541      0.100
  1708        21   (g)                -73  1464  1547  1713     0   432   431     -0.255     -0.541     17.114     17.125      0.115
  1709        21   (g)                -73  1407  1415  1846  1846   215   156     -0.622     -0.408     48.303     48.309      0.138
  1710        21   (g)                -73  1554  1581  1850  1850   184   196      1.295      0.128     34.114     34.139      0.175
  1711        21   (g)                -73  1517  1555  1847  1847   175   215     -2.223     -1.607     59.988     60.051      0.207
  1712        21   (g)                -73  1414  1706  1851  1851   291   184      2.771      1.073     42.734     42.838      0.223
  1713        21   (g)                -73  1462  1708  1848  1848   432   175     -1.006     -1.368     46.217     46.249      0.317
  1714        21   (g)                -73  1458  1707  1849  1849   196   432      1.327     -0.506     40.013     40.040      0.440
  1715        21   (g)                -73  1416  1422  1965  1965   310   146      1.457     -0.730   -213.186    213.193      0.348
  1716        21   (g)                -73  1225  1538  1725     0   277   388     -0.885      1.210     -0.943      1.771      0.040
  1717        21   (g)                -73  1247  1398  1729     0   129   246     -0.273     -0.155      0.273      0.418      0.044
  1718        21   (g)                -73  1404  1571  2160  2160   392   277     -0.728      0.380     -0.519      0.975      0.080
  1719        21   (g)                -73  1297  1475  1730     0   448   390      0.333     -1.060     -0.751      1.344      0.091
  1720        21   (g)                -73  1230  1432  2167  2167   103   241     -1.868     -2.399      2.700      4.067      0.099
  1721        21   (g)                -73  1270  1408  2168  2168   342   103     -8.893    -16.878     11.323     22.185      0.106
  1722        21   (g)                -73  1485  1586  1732     0   396   392     -1.013      0.213     -1.108      1.522      0.124
  1723        21   (g)                -73  1273  1498  2164  2164   246   352      0.104     -0.969      0.035      0.987      0.153
  1724        21   (g)                -73  1460  1530  2162  2162   153   419     -0.811      0.116     -0.116      0.842      0.157
  1725        21   (g)                -73  1444  1716  2159  2159   277   140     -1.118      1.525     -1.101      2.194      0.159
  1726        21   (g)                -73  1484  1539  2154  2154   258   457     -0.177     -1.550     -1.123      1.930      0.172
  1727        21   (g)                -73  1302  1503  1734     0   164   362      1.878     -1.374    -22.514     22.635      0.177
  1728        -2   (ubar)             -73  1287  1291  2172  2172     0   305     -2.295     -7.392      3.445      8.487      0.513
  1729        21   (g)                -73  1244  1717  2165  2165   398   246     -2.211     -1.853      1.772      3.399      0.306
  1730        21   (g)                -73  1493  1719  2155  2155   448   258      1.450     -5.208     -4.256      6.888      0.332
  1731        21   (g)                -73  1226  1569  2151  2151   460   144      2.894     -0.996    -14.431     14.756      0.353
  1732        21   (g)                -73  1592  1722  2161  2161   419   392     -1.833      0.061     -1.839      2.631      0.417
  1733        21   (g)                -73  1298  1434  2157  2157   149   449      4.719      0.494     -8.440      9.692      0.446
  1734        21   (g)                -73  1576  1727  2152  2152   164   460      2.451     -1.543    -27.204     27.363      0.512
  1735        21   (g)                -73  1377  1380  1760  1760   114   426      0.502      0.699      0.843      1.230      0.249
  1736        -1   (dbar)             -73  1361  1382  1737     0     0   320     -1.075     -0.058      0.354      1.348      0.730
  1737        -1   (dbar)             -73  1373  1736  1761  1761     0   114     -1.809     -0.388      1.240      2.545      1.231
  1738         1   (d)                -73  1368  1545  1759  1759   426     0     -0.373     -0.074      1.391      1.653      0.807
  1739        21   (g)                -73  1242  1589  1778  1778   204   346     -0.736      1.206      0.474      1.491      0.039
  1740        -1   (dbar)             -73  1263  1277  1781  1781     0   364     -5.811      4.140      0.259      7.177      0.733
  1741        21   (g)                -73  1426  1579  1745     0   477   442     -0.009      0.149    -10.446     10.447      0.082
  1742        21   (g)                -73  1423  1518  1744     0   430   377      1.052      0.164    -12.644     12.689      0.141
  1743         2   (u)                -73  1583  1585  1744     0   377     0      2.438      0.895    -27.076     27.205      0.476
  1744         2   (u)                -73  1742  1743  1812  1812   430     0      3.490      1.059    -39.720     39.894      0.742
  1745        21   (g)                -73  1573  1741  1815  1815   477   174      0.251      0.160    -18.120     18.126      0.347
  1746         3   (s)                -71  1702  1702  1748  1749   443     0      3.789      2.066    -38.291     38.541      0.778
  1747        -2   (ubar)             -71  1591  1591  1748  1749     0   443      0.463      0.111     -6.310      6.337      0.330
  1748      -311   (Kbar0)            -82  1746  1747  2312  2312     0     0      3.242      1.768    -29.040     29.278      0.498
  1749      -211   pi-                 82  1746  1747     0     0     0     0      1.010      0.409    -15.561     15.600      0.140
  1750         2   (u)                -71  1228  1228  1752  1753   230     0     -0.372      0.331    155.482    155.483      0.330
  1751        -3   (sbar)             -71  1629  1629  1752  1753     0   230      0.591      1.225    538.277    538.279      0.813
  1752       111   (pi0)              -82  1750  1751  2599  2600     0     0      0.514      1.026    402.617    402.619      0.135
  1753       323   (K*+)              -82  1750  1751  2313  2314     0     0     -0.295      0.530    291.141    291.143      0.832
  1754         2   (u)                -71  1692  1692  1756  1758   183     0      2.269     -0.559     -6.313      6.773      0.747
  1755        -3   (sbar)             -71  1691  1691  1756  1758     0   183      2.704      1.343    -19.369     19.627      0.978
  1756       331   (eta')             -83  1754  1755  2601  2603     0     0      2.253      0.234     -7.612      7.999      0.958
  1757       211   pi+                 83  1754  1755     0     0     0     0      0.758     -0.437     -2.512      2.664      0.140
  1758       313   (K*0)              -84  1754  1755  2315  2316     0     0      1.962      0.987    -15.558     15.737      0.884
  1759         1   (d)                -71  1738  1738  1762  1765   426     0     -0.373     -0.074      1.391      1.653      0.807
  1760        21   (g)                -71  1735  1735  1762  1765   114   426      0.502      0.699      0.843      1.230      0.249
  1761        -1   (dbar)             -71  1737  1737  1762  1765     0   114     -1.809     -0.388      1.240      2.545      1.231
  1762      -213   (rho-)             -83  1759  1761  2317  2318     0     0      0.198      0.299      1.175      1.568      0.974
  1763       111   (pi0)              -83  1759  1761  2604  2605     0     0     -0.741      0.063      1.313      1.515      0.135
  1764       223   (omega)            -83  1759  1761  2606  2608     0     0     -1.443     -0.379      0.831      1.895      0.821
  1765       211   pi+                 84  1759  1761     0     0     0     0      0.306      0.255      0.154      0.449      0.140
  1766         1   (d)                -71  1474  1474  1772  1776   135     0     -0.874      0.134      3.950      4.061      0.330
  1767        21   (g)                -71  1704  1704  1772  1776   402   135     -0.366      1.250      4.404      4.598      0.234
  1768        21   (g)                -71  1274  1274  1772  1776   292   402     -1.877      2.523      9.680     10.178      0.000
  1769        21   (g)                -71  1259  1259  1772  1776   273   292     -0.141      0.046      1.139      1.148      0.000
  1770        21   (g)                -71  1705  1705  1772  1776   403   273     -1.862      0.927      3.275      3.891      0.303
  1771        -1   (dbar)             -71  1494  1494  1772  1776     0   403     -0.106      0.407      1.155      1.273      0.330
  1772       113   (rho0)             -83  1766  1771  2319  2320     0     0     -1.446      2.095      8.783      9.188      0.891
  1773       223   (omega)            -83  1766  1771  2609  2611     0     0     -1.066      1.341      7.978      8.197      0.779
  1774      -211   pi-                 84  1766  1771     0     0     0     0     -1.241      0.598      1.962      2.401      0.140
  1775       211   pi+                 84  1766  1771     0     0     0     0     -0.157      0.429      1.074      1.175      0.140
  1776       113   (rho0)             -84  1766  1771  2321  2322     0     0     -1.315      0.823      3.805      4.188      0.809
  1777         1   (d)                -71  1561  1561  1782  1786   346     0      0.065     -0.287     -0.512      0.677      0.330
  1778        21   (g)                -71  1739  1739  1782  1786   204   346     -0.736      1.206      0.474      1.491      0.039
  1779        21   (g)                -71  1216  1216  1782  1786   161   204     -2.507      2.135     -0.093      3.294      0.000
  1780        21   (g)                -71  1276  1276  1782  1786   364   161      0.025      0.095      0.076      0.124      0.000
  1781        -1   (dbar)             -71  1740  1740  1782  1786     0   364     -5.811      4.140      0.259      7.177      0.733
  1782       111   (pi0)              -83  1777  1781  2612  2613     0     0     -0.265      0.355      0.413      0.620      0.135
  1783       111   (pi0)              -83  1777  1781  2614  2615     0     0     -0.881      0.472     -0.254      1.040      0.135
  1784       111   (pi0)              -84  1777  1781  2616  2617     0     0      0.399      0.731     -0.396      0.932      0.135
  1785      -211   pi-                 84  1777  1781     0     0     0     0     -3.617      2.123      0.759      4.264      0.140
  1786       213   (rho+)             -84  1777  1781  2323  2324     0     0     -4.602      3.608     -0.317      5.906      0.769
  1787         2   (u)                -71  1604  1604  1789  1796   491     0     -0.547     -0.204    -15.751     15.766      0.330
  1788      2103   (ud_1)             -71  1601  1601  1789  1796     0   491     -0.115     -0.638  -3681.704   3681.704      0.771
  1789       321   K+                  83  1787  1788     0     0     0     0     -0.218     -0.059    -29.304     29.309      0.494
  1790      -311   (Kbar0)            -83  1787  1788  2325  2325     0     0     -0.442     -0.400   -151.397    151.399      0.498
  1791       111   (pi0)              -83  1787  1788  2618  2619     0     0      0.238      0.303    -85.496     85.497      0.135
  1792      -211   pi-                 83  1787  1788     0     0     0     0      0.040      0.177     -7.576      7.579      0.140
  1793       213   (rho+)             -83  1787  1788  2326  2327     0     0     -0.050     -0.093   -255.367    255.369      0.986
  1794       111   (pi0)              -84  1787  1788  2620  2621     0     0     -0.347      0.005   -817.805    817.805      0.135
  1795      2112   n0                  84  1787  1788     0     0     0     0      0.173     -0.355   -779.726    779.727      0.940
  1796       223   (omega)            -84  1787  1788  2622  2624     0     0     -0.056     -0.419  -1570.785   1570.785      0.783
  1797         2   (u)                -71  1220  1220  1804  1811   247     0    -15.561     -5.138   -331.260    331.665      0.330
  1798        21   (g)                -71  1248  1248  1804  1811   326   247     -0.177     -0.331     -8.856      8.864      0.000
  1799        21   (g)                -71  1265  1265  1804  1811   383   326     -4.237     -0.199    -73.895     74.016      0.000
  1800        21   (g)                -71  1625  1625  1804  1811   429   383     -0.090     -0.394     -8.344      8.354      0.077
  1801        21   (g)                -71  1624  1624  1804  1811   360   429     -0.325      0.534     -4.118      4.165      0.049
  1802        21   (g)                -71  1626  1626  1804  1811   271   360     -0.860      0.161     -3.282      3.398      0.119
  1803        -3   (sbar)             -71  1627  1627  1804  1811     0   271     -0.666     -0.591    -16.276     16.323      0.864
  1804       223   (omega)            -83  1797  1803  2625  2626     0     0    -10.093     -2.796   -208.802    209.066      0.785
  1805       223   (omega)            -84  1797  1803  2627  2629     0     0     -3.914     -1.454    -92.173     92.271      0.814
  1806      2114   (Delta0)           -84  1797  1803  2328  2329     0     0     -3.473     -1.154    -63.757     63.874      1.270
  1807       211   pi+                 84  1797  1803     0     0     0     0      0.128     -0.149     -5.795      5.800      0.140
  1808     -2214   (Deltabar-)        -84  1797  1803  2330  2331     0     0     -2.403      0.321    -32.926     33.037      1.207
  1809       211   pi+                 84  1797  1803     0     0     0     0     -0.678     -0.397    -23.269     23.282      0.140
  1810       221   (eta)              -84  1797  1803  2630  2631     0     0     -0.977      0.140     -5.200      5.321      0.548
  1811       311   (K0)               -84  1797  1803  2332  2332     0     0     -0.504     -0.467    -14.109     14.134      0.498
  1812         2   (u)                -71  1744  1744  1818  1825   430     0      3.490      1.059    -39.720     39.894      0.742
  1813        21   (g)                -71  1511  1511  1818  1825   235   430      1.674     -0.134    -23.329     23.390      0.000
  1814        21   (g)                -71  1566  1566  1818  1825   174   235      0.690     -0.735    -21.296     21.320      0.000
  1815        21   (g)                -71  1745  1745  1818  1825   477   174      0.251      0.160    -18.120     18.126      0.347
  1816        21   (g)                -71  1516  1516  1818  1825   328   477     -0.868     -1.286   -167.196    167.203      0.000
  1817        -3   (sbar)             -71  1507  1507  1818  1825     0   328     -0.462     -2.422   -187.505    187.522      0.500
  1818       213   (rho+)             -83  1812  1817  2333  2334     0     0      1.227      0.009    -14.316     14.382      0.635
  1819      -213   (rho-)             -83  1812  1817  2335  2336     0     0      2.695     -0.135    -43.465     43.562      1.103
  1820       223   (omega)            -83  1812  1817  2632  2634     0     0      0.974      0.623    -18.943     18.994      0.784
  1821       211   pi+                 83  1812  1817     0     0     0     0      0.750      0.058     -7.767      7.804      0.140
  1822      -211   pi-                 83  1812  1817     0     0     0     0      0.153     -0.021     -4.927      4.932      0.140
  1823       113   (rho0)             -84  1812  1817  2337  2338     0     0     -0.449     -1.150   -156.879    156.887      0.878
  1824       221   (eta)              -84  1812  1817  2635  2637     0     0     -0.207     -1.989   -120.220    120.238      0.548
  1825       321   K+                  84  1812  1817     0     0     0     0     -0.368     -0.753    -90.650     90.655      0.494
  1826         2   (u)                -71  1623  1623  1835  1843   453     0     -1.696     -4.529      2.507      5.489      0.676
  1827        21   (g)                -71  1621  1621  1835  1843   458   453     -1.523     -3.592      4.323      5.829      0.258
  1828        21   (g)                -71  1619  1619  1835  1843   125   458     -0.020     -2.307      2.853      3.669      0.075
  1829        21   (g)                -71  1224  1224  1835  1843   452   125     -1.007     -8.219     11.688     14.324      0.000
  1830        21   (g)                -71  1299  1299  1835  1843   232   452     -0.347     -0.583      0.932      1.153      0.000
  1831        21   (g)                -71  1618  1618  1835  1843   201   232     -1.357     -0.785     -0.301      1.597      0.068
  1832        21   (g)                -71  1622  1622  1835  1843   269   201     -2.812     -0.757      0.785      3.038      0.360
  1833        21   (g)                -71  1620  1620  1835  1843   355   269     -0.420      0.066      0.229      0.523      0.201
  1834        -1   (dbar)             -71  1480  1480  1835  1843     0   355     -0.289      2.553      6.748      7.228      0.330
  1835       223   (omega)            -83  1826  1834  2638  2640     0     0     -0.729     -2.512      1.580      3.155      0.784
  1836       213   (rho+)             -83  1826  1834  2339  2340     0     0     -1.602     -4.335      3.598      5.896      0.679
  1837       311   (K0)               -83  1826  1834  2341  2341     0     0     -0.990     -1.938      3.146      3.858      0.498
  1838       333   (phi)              -83  1826  1834  2641  2642     0     0     -0.557     -7.414      8.668     11.465      1.018
  1839       333   (phi)              -84  1826  1834  2643  2644     0     0     -0.882     -2.601      4.805      5.629      1.027
  1840      -311   (Kbar0)            -84  1826  1834  2342  2342     0     0     -2.216     -1.260      0.483      2.642      0.498
  1841       113   (rho0)             -84  1826  1834  2343  2344     0     0     -0.464     -0.208      0.471      1.026      0.757
  1842      -213   (rho-)             -84  1826  1834  2345  2346     0     0     -1.116     -0.762      0.058      1.543      0.743
  1843       213   (rho+)             -84  1826  1834  2347  2348     0     0     -0.913      2.879      6.956      7.637      0.902
  1844         1   (d)                -71  1481  1481  1853  1868   334     0     -1.197      0.586    176.651    176.657      0.330
  1845        21   (g)                -71  1542  1542  1853  1868   156   334     -1.363     -2.147    175.466    175.485      0.000
  1846        21   (g)                -71  1709  1709  1853  1868   215   156     -0.622     -0.408     48.303     48.309      0.138
  1847        21   (g)                -71  1711  1711  1853  1868   175   215     -2.223     -1.607     59.988     60.051      0.207
  1848        21   (g)                -71  1713  1713  1853  1868   432   175     -1.006     -1.368     46.217     46.249      0.317
  1849        21   (g)                -71  1714  1714  1853  1868   196   432      1.327     -0.506     40.013     40.040      0.440
  1850        21   (g)                -71  1710  1710  1853  1868   184   196      1.295      0.128     34.114     34.139      0.175
  1851        21   (g)                -71  1712  1712  1853  1868   291   184      2.771      1.073     42.734     42.838      0.223
  1852        -2   (ubar)             -71  1417  1417  1853  1868     0   291      2.159      0.880     12.864     13.078      0.330
  1853      -213   (rho-)             -83  1844  1852  2349  2350     0     0     -1.463      0.160    191.421    191.430      0.962
  1854       111   (pi0)              -83  1844  1852  2645  2646     0     0     -0.381     -0.877     70.785     70.791      0.135
  1855      2212   p+                  83  1844  1852     0     0     0     0     -1.064     -0.750     60.966     60.987      0.938
  1856     -2212   pbar-               83  1844  1852     0     0     0     0     -0.656     -0.443     62.482     62.494      0.938
  1857       211   pi+                 83  1844  1852     0     0     0     0     -0.928     -1.680     64.343     64.372      0.140
  1858       111   (pi0)              -83  1844  1852  2647  2648     0     0      0.076      0.220      6.142      6.148      0.135
  1859       221   (eta)              -83  1844  1852  2649  2651     0     0     -0.168     -0.589     17.294     17.313      0.548
  1860      -211   pi-                 83  1844  1852     0     0     0     0     -0.163     -0.070      9.939      9.941      0.140
  1861       211   pi+                 83  1844  1852     0     0     0     0     -0.533     -0.965     26.513     26.536      0.140
  1862      -211   pi-                 83  1844  1852     0     0     0     0      0.274      0.331      9.211      9.222      0.140
  1863       113   (rho0)             -83  1844  1852  2351  2352     0     0      0.147     -0.522     31.850     31.861      0.586
  1864       211   pi+                 83  1844  1852     0     0     0     0      0.353     -0.402     12.138     12.150      0.140
  1865       111   (pi0)              -84  1844  1852  2652  2653     0     0      1.132      0.695     19.437     19.482      0.135
  1866       111   (pi0)              -84  1844  1852  2654  2655     0     0      1.992      1.071     16.071     16.230      0.135
  1867      -213   (rho-)             -84  1844  1852  2353  2354     0     0      1.879     -0.018     27.070     27.156      1.048
  1868       221   (eta)              -84  1844  1852  2656  2658     0     0      0.644      0.469     10.689     10.733      0.548
  1869         2   (u)                -71  1600  1600  1871  1877   168     0     -1.410     -0.305     54.716     54.736      0.330
  1870        -1   (dbar)             -71  1552  1552  1871  1877     0   168     -2.006      1.947     -2.893      4.037      0.330
  1871       321   K+                  83  1869  1870     0     0     0     0     -0.089     -0.228     14.461     14.472      0.494
  1872      -311   (Kbar0)            -83  1869  1870  2355  2355     0     0     -0.449      0.192     14.461     14.477      0.498
  1873      -211   pi-                 83  1869  1870     0     0     0     0     -0.980     -0.506     18.143     18.177      0.140
  1874       211   pi+                 84  1869  1870     0     0     0     0      0.392      0.282      1.931      1.995      0.140
  1875      2114   (Delta0)           -84  1869  1870  2356  2357     0     0     -0.188     -0.082      4.337      4.492      1.151
  1876      -213   (rho-)             -84  1869  1870  2358  2359     0     0     -0.431     -0.078      0.759      1.441      1.144
  1877     -1114   (Deltabar+)        -84  1869  1870  2360  2361     0     0     -1.672      2.061     -2.269      3.719      1.280
  1878         2   (u)                -71  1431  1431  1888  1899   133     0     -0.754      0.868      4.304      4.467      0.330
  1879        21   (g)                -71  1695  1695  1888  1899   464   133     -0.731     -0.150      1.636      1.801      0.098
  1880        21   (g)                -71  1699  1699  1888  1899   257   464     -1.782     -1.979     12.204     12.492      0.182
  1881        21   (g)                -71  1401  1401  1888  1899   142   257     -1.309      0.190     20.143     20.186      0.000
  1882        21   (g)                -71  1698  1698  1888  1899   243   142     -0.683      0.680     18.107     18.133      0.177
  1883        21   (g)                -71  1700  1700  1888  1899   374   243     -1.170      1.080     52.901     52.925      0.249
  1884        21   (g)                -71  1696  1696  1888  1899   341   374      0.186      0.624     25.992     26.001      0.099
  1885        21   (g)                -71  1488  1488  1888  1899   251   341     -0.660      1.127     93.780     93.789      0.000
  1886        21   (g)                -71  1701  1701  1888  1899   340   251     -0.906      0.809    154.456    154.461      0.435
  1887        -1   (dbar)             -71  1479  1479  1888  1899     0   340     -0.347     -0.572    182.811    182.812      0.330
  1888       113   (rho0)             -83  1878  1887  2362  2363     0     0     -1.115      0.664      5.400      5.606      0.763
  1889       213   (rho+)             -83  1878  1887  2364  2365     0     0     -0.900     -1.260     12.676     12.802      0.907
  1890      -213   (rho-)             -83  1878  1887  2366  2367     0     0     -1.194      0.111      4.653      4.862      0.743
  1891       223   (omega)            -83  1878  1887  2659  2661     0     0     -0.899      0.253     19.530     19.568      0.771
  1892       111   (pi0)              -83  1878  1887  2662  2663     0     0     -0.616     -0.296      3.268      3.342      0.135
  1893       211   pi+                 84  1878  1887     0     0     0     0      0.067      0.514     23.825     23.831      0.140
  1894       111   (pi0)              -84  1878  1887  2664  2665     0     0     -0.046     -0.133      9.929      9.931      0.135
  1895       113   (rho0)             -84  1878  1887  2368  2369     0     0     -1.181      0.663     29.840     29.880      0.745
  1896       223   (omega)            -84  1878  1887  2666  2668     0     0     -0.504      1.216    116.341    116.351      0.784
  1897       111   (pi0)              -84  1878  1887  2669  2670     0     0     -0.099     -0.065      1.543      1.553      0.135
  1898       313   (K*0)              -84  1878  1887  2370  2371     0     0     -0.992      1.470    185.552    185.563      0.989
  1899      -311   (Kbar0)            -84  1878  1887  2372  2372     0     0     -0.677     -0.460    153.776    153.779      0.498
  1900         2   (u)                -71  1399  1399  1917  1936   127     0      1.095     -0.167     10.050     10.117      0.330
  1901        21   (g)                -71  1688  1688  1917  1936   472   127      1.854     -0.071      9.379      9.571      0.443
  1902        21   (g)                -71  1269  1269  1917  1936   418   472      0.113      0.018      0.022      0.116      0.000
  1903        21   (g)                -71  1553  1553  1917  1936   329   418     -0.893     -1.103     10.266     10.364      0.000
  1904        21   (g)                -71  1685  1685  1917  1936   336   329     -0.445     -1.308     10.822     10.913      0.262
  1905        21   (g)                -71  1683  1683  1917  1936   322   336     -0.259     -1.496     23.343     23.394      0.196
  1906        21   (g)                -71  1687  1687  1917  1936   474   322      0.798     -1.408     23.137     23.197      0.402
  1907        21   (g)                -71  1678  1678  1917  1936   425   474      0.637     -0.849      8.059      8.130      0.146
  1908        21   (g)                -71  1684  1684  1917  1936   365   425      0.294     -1.746     14.137     14.250      0.223
  1909        21   (g)                -71  1674  1674  1917  1936   238   365     -0.063     -0.399      1.313      1.376      0.084
  1910        21   (g)                -71  1686  1686  1917  1936   216   238      0.618     -1.003      2.004      2.351      0.350
  1911        21   (g)                -71  1689  1689  1917  1936   237   216      0.647      1.640      2.701      3.258      0.457
  1912        21   (g)                -71  1388  1388  1917  1936   123   237      1.336      1.375      5.296      5.633      0.000
  1913        21   (g)                -71  1680  1680  1917  1936   379   123      0.378     -0.030      0.712      0.826      0.180
  1914        21   (g)                -71  1677  1677  1917  1936   289   379      0.989     -0.547      0.140      1.143      0.099
  1915        21   (g)                -71  1596  1596  1917  1936   210   289      1.518     -0.844     -0.821      1.921      0.000
  1916        -1   (dbar)             -71  1681  1681  1917  1936     0   210     -0.053     -0.126      0.076      0.529      0.505
  1917       113   (rho0)             -83  1900  1916  2373  2374     0     0      1.677      0.057     11.148     11.302      0.797
  1918       211   pi+                 83  1900  1916     0     0     0     0      0.484     -0.905      5.625      5.720      0.140
  1919       331   (eta')             -83  1900  1916  2671  2673     0     0      0.127      0.222      4.821      4.922      0.958
  1920       331   (eta')             -83  1900  1916  2674  2676     0     0     -0.240     -0.987     14.869     14.934      0.958
  1921      -213   (rho-)             -83  1900  1916  2375  2376     0     0      0.350     -1.129     12.126     12.215      0.875
  1922       213   (rho+)             -83  1900  1916  2377  2378     0     0      0.367     -1.257     13.216     13.304      0.787
  1923      2112   n0                  83  1900  1916     0     0     0     0     -0.551     -2.070     23.872     23.986      0.940
  1924     -2212   pbar-               83  1900  1916     0     0     0     0      0.430     -1.133      9.604      9.726      0.938
  1925       223   (omega)            -83  1900  1916  2677  2679     0     0      0.585     -1.115     12.109     12.199      0.784
  1926       321   K+                  84  1900  1916     0     0     0     0      0.288     -0.228      1.006      1.180      0.494
  1927      -321   K-                  84  1900  1916     0     0     0     0     -0.101      0.223      1.830      1.911      0.494
  1928       211   pi+                 84  1900  1916     0     0     0     0      0.343     -0.629      2.799      2.893      0.140
  1929      -211   pi-                 84  1900  1916     0     0     0     0      0.472      0.829      2.251      2.449      0.140
  1930       213   (rho+)             -84  1900  1916  2379  2380     0     0      0.821      0.232      2.570      2.989      1.265
  1931      3212   (Sigma0)           -84  1900  1916  2680  2681     0     0      0.680      0.330      1.858      2.333      1.193
  1932     -3222   (Sigmabar-)        -84  1900  1916  2682  2683     0     0      1.134      0.395      0.748      1.848      1.189
  1933       113   (rho0)             -84  1900  1916  2381  2382     0     0      0.284     -0.199      0.279      0.910      0.794
  1934       113   (rho0)             -84  1900  1916  2383  2384     0     0      1.260     -0.701     -0.155      1.791      1.052
  1935       211   pi+                 84  1900  1916     0     0     0     0      0.209     -0.101      0.110      0.292      0.140
  1936       111   (pi0)              -84  1900  1916  2684  2685     0     0     -0.053      0.102     -0.049      0.184      0.135
  1937         1   (d)                -71  1603  1603  1945  1963   113     0     -0.182     -0.124   -132.321    132.321      0.330
  1938        21   (g)                -71  1666  1666  1945  1963   384   113     -0.211      0.181      0.208      0.492      0.349
  1939        21   (g)                -71  1667  1667  1945  1963   194   384     -0.663     -1.123     -1.630      2.126      0.404
  1940        21   (g)                -71  1312  1312  1945  1963   155   194     -4.036      0.512     -3.865      5.611      0.000
  1941        21   (g)                -71  1347  1347  1945  1963   459   155     -0.820      0.086     -1.353      1.585      0.000
  1942        21   (g)                -71  1315  1315  1945  1963   206   459     -0.378     -0.221     -0.010      0.438      0.000
  1943        21   (g)                -71  1323  1323  1945  1963   260   206     -2.421     -0.169     -1.701      2.963      0.000
  1944        -2   (ubar)             -71  1669  1669  1945  1963     0   260     -1.360     -3.141     -2.301      4.258      1.061
  1945      -211   pi-                 83  1937  1944     0     0     0     0     -0.360     -0.306    -48.132     48.135      0.140
  1946       111   (pi0)              -83  1937  1944  2686  2687     0     0      0.316      0.374    -12.477     12.487      0.135
  1947       213   (rho+)             -83  1937  1944  2385  2386     0     0      0.163     -0.246    -21.107     21.128      0.899
  1948      -213   (rho-)             -83  1937  1944  2387  2388     0     0     -0.083     -0.025    -19.827     19.846      0.856
  1949       211   pi+                 83  1937  1944     0     0     0     0     -0.216      0.089     -2.455      2.470      0.140
  1950       223   (omega)            -83  1937  1944  2688  2690     0     0      0.054     -0.231    -15.288     15.309      0.771
  1951       221   (eta)              -83  1937  1944  2691  2693     0     0     -0.084      0.314     -2.013      2.112      0.548
  1952       223   (omega)            -83  1937  1944  2694  2696     0     0      0.137     -0.234     -6.638      6.682      0.714
  1953      -211   pi-                 83  1937  1944     0     0     0     0     -0.226      0.059     -0.173      0.322      0.140
  1954       113   (rho0)             -83  1937  1944  2389  2390     0     0     -0.505     -0.094     -4.226      4.337      0.827
  1955       213   (rho+)             -84  1937  1944  2391  2392     0     0     -0.641     -0.072     -1.630      1.964      0.886
  1956      2112   n0                  84  1937  1944     0     0     0     0     -1.120      0.153     -0.809      1.678      0.940
  1957     -2212   pbar-               84  1937  1944     0     0     0     0     -1.442     -1.062     -1.735      2.664      0.938
  1958       211   pi+                 84  1937  1944     0     0     0     0     -1.469     -0.074     -1.315      1.978      0.140
  1959      -211   pi-                 84  1937  1944     0     0     0     0     -0.074      0.172     -0.157      0.281      0.140
  1960       213   (rho+)             -84  1937  1944  2393  2394     0     0     -2.468     -0.365     -2.546      3.669      0.866
  1961       223   (omega)            -84  1937  1944  2697  2699     0     0     -0.624     -0.290     -0.445      1.129      0.776
  1962      -213   (rho-)             -84  1937  1944  2395  2396     0     0     -1.063     -1.019     -1.217      2.168      1.025
  1963       111   (pi0)              -84  1937  1944  2700  2701     0     0     -0.365     -1.141     -0.781      1.437      0.135
  1964         3   (s)                -71  1504  1504  1967  1981   146     0     -1.263     -0.625   -543.420    543.422      0.500
  1965        21   (g)                -71  1715  1715  1967  1981   310   146      1.457     -0.730   -213.186    213.193      0.348
  1966        -2   (ubar)             -71  1565  1565  1967  1981     0   310     -0.099      1.208      0.023      1.256      0.330
  1967      -321   K-                  83  1964  1966     0     0     0     0      0.062     -0.292   -150.752    150.753      0.494
  1968       321   K+                  83  1964  1966     0     0     0     0     -0.571     -0.209   -226.021    226.022      0.494
  1969      -321   K-                  83  1964  1966     0     0     0     0      0.180     -0.295   -154.279    154.280      0.494
  1970       211   pi+                 83  1964  1966     0     0     0     0     -0.070     -0.035    -43.537     43.537      0.140
  1971       223   (omega)            -83  1964  1966  2702  2704     0     0     -0.050     -0.112    -39.459     39.467      0.792
  1972       111   (pi0)              -83  1964  1966  2705  2706     0     0      0.279     -0.314    -62.515     62.517      0.135
  1973       111   (pi0)              -83  1964  1966  2707  2708     0     0     -0.370      0.032     -8.910      8.919      0.135
  1974      -213   (rho-)             -83  1964  1966  2397  2398     0     0      0.705     -0.039    -48.492     48.506      0.927
  1975       111   (pi0)              -83  1964  1966  2709  2710     0     0     -0.336      0.048     -1.352      1.401      0.135
  1976       211   pi+                 84  1964  1966     0     0     0     0      0.501     -0.286     -7.733      7.756      0.140
  1977      -211   pi-                 84  1964  1966     0     0     0     0      0.077      0.484     -1.968      2.033      0.140
  1978       113   (rho0)             -84  1964  1966  2399  2400     0     0      0.225     -0.046     -7.436      7.503      0.968
  1979       213   (rho+)             -84  1964  1966  2401  2402     0     0     -0.193      0.030     -1.792      2.055      0.986
  1980      -211   pi-                 84  1964  1966     0     0     0     0     -0.068      0.625     -2.133      2.228      0.140
  1981       223   (omega)            -84  1964  1966  2711  2713     0     0     -0.278      0.261     -0.203      0.895      0.784
  1982         1   (d)                -71  1308  1308  1993  2005   259     0      2.332      4.396     46.776     47.041      0.330
  1983        21   (g)                -71  1660  1660  1993  2005   470   259      0.798      0.445     15.504     15.537      0.433
  1984        21   (g)                -71  1348  1348  1993  2005   467   470      1.055      0.666      5.025      5.177      0.000
  1985        21   (g)                -71  1661  1661  1993  2005   218   467      1.144     -0.520      3.644      3.887      0.498
  1986        21   (g)                -71  1341  1341  1993  2005   399   218      0.362      0.274      0.350      0.573      0.000
  1987        21   (g)                -71  1324  1324  1993  2005   267   399      2.311     -0.109      4.051      4.665      0.000
  1988        21   (g)                -71  1320  1320  1993  2005   250   267     -0.081      0.447      0.938      1.042      0.000
  1989        21   (g)                -71  1343  1343  1993  2005   410   250      0.192     -0.183      1.392      1.417      0.000
  1990        21   (g)                -71  1662  1662  1993  2005   372   410     -0.266      0.485      0.040      0.813      0.595
  1991        21   (g)                -71  1335  1335  1993  2005   112   372      0.321     -0.640      0.025      0.717      0.000
  1992        -1   (dbar)             -71  1316  1316  1993  2005     0   112      1.518     -0.694     -6.425      6.646      0.330
  1993      -211   pi-                 83  1982  1992     0     0     0     0      0.268      0.647      6.083      6.125      0.140
  1994       211   pi+                 83  1982  1992     0     0     0     0      1.777      3.242     36.357     36.544      0.140
  1995       113   (rho0)             -83  1982  1992  2403  2404     0     0      0.920      0.473      7.118      7.236      0.794
  1996       223   (omega)            -83  1982  1992  2714  2716     0     0      0.606      0.535     10.290     10.338      0.570
  1997      -213   (rho-)             -83  1982  1992  2405  2406     0     0      0.479     -0.072      2.077      2.264      0.760
  1998       211   pi+                 84  1982  1992     0     0     0     0      0.747     -0.324      6.218      6.272      0.140
  1999      -211   pi-                 84  1982  1992     0     0     0     0      1.236      0.963      2.928      3.324      0.140
  2000       213   (rho+)             -84  1982  1992  2407  2408     0     0      0.611      0.072      2.295      2.485      0.726
  2001      -213   (rho-)             -84  1982  1992  2409  2410     0     0     -0.173     -0.109      0.957      1.258      0.790
  2002       211   pi+                 84  1982  1992     0     0     0     0      1.700     -0.000      2.723      3.213      0.140
  2003       313   (K*0)              -84  1982  1992  2411  2412     0     0     -0.376     -0.038      0.501      1.101      0.904
  2004      -311   (Kbar0)            -84  1982  1992  2413  2413     0     0      0.525      0.230      0.069      0.762      0.498
  2005       113   (rho0)             -84  1982  1992  2414  2415     0     0      1.367     -1.052     -6.297      6.593      0.917
  2006         2   (u)                -71  1309  1309  2017  2034   283     0     -0.284     -0.309     -0.592      0.797      0.330
  2007        21   (g)                -71  1663  1663  2017  2034   354   283     -0.387      0.189      0.065      0.495      0.235
  2008        21   (g)                -71  1334  1334  2017  2034   286   354      0.155     -0.442      2.794      2.833      0.000
  2009        21   (g)                -71  1326  1326  2017  2034   339   286     -0.503      0.186     13.890     13.901      0.000
  2010        21   (g)                -71  1332  1332  2017  2034   111   339      0.346      0.408      5.792      5.817      0.000
  2011        21   (g)                -71  1664  1664  2017  2034   415   111      0.308      0.256     20.516     20.522      0.316
  2012        21   (g)                -71  1346  1346  2017  2034   434   415      0.164     -0.679     41.987     41.993      0.000
  2013        21   (g)                -71  1345  1345  2017  2034   213   434      0.052      0.073      0.484      0.492      0.000
  2014        21   (g)                -71  1336  1336  2017  2034   371   213     -1.733     -0.983    298.354    298.361      0.000
  2015        21   (g)                -71  1314  1314  2017  2034   172   371     -0.288     -0.385     22.189     22.195      0.000
  2016        -1   (dbar)             -71  1602  1602  2017  2034     0   172      0.024      0.198     -0.662      0.767      0.330
  2017       223   (omega)            -83  2006  2016  2717  2719     0     0     -0.331     -0.053      0.022      0.850      0.781
  2018       213   (rho+)             -83  2006  2016  2416  2417     0     0      0.204     -0.038      0.758      1.096      0.764
  2019      -211   pi-                 83  2006  2016     0     0     0     0     -0.196     -0.352      0.275      0.507      0.140
  2020       113   (rho0)             -83  2006  2016  2418  2419     0     0     -0.271      0.198      2.137      2.466      1.182
  2021      3212   (Sigma0)           -83  2006  2016  2720  2721     0     0      0.217      0.293     11.481     11.549      1.193
  2022     -3112   (Sigmabar+)        -83  2006  2016  2722  2723     0     0     -0.010      0.073     12.423     12.481      1.197
  2023       313   (K*0)              -83  2006  2016  2420  2421     0     0     -0.268     -0.727     18.854     18.894      0.963
  2024      -311   (Kbar0)            -83  2006  2016  2422  2422     0     0     -0.619     -0.214    164.494    164.496      0.498
  2025      -213   (rho-)             -83  2006  2016  2423  2424     0     0     -0.234     -0.536     66.962     66.975      1.201
  2026       213   (rho+)             -83  2006  2016  2425  2426     0     0     -0.119      0.079     88.534     88.541      1.103
  2027      -211   pi-                 84  2006  2016     0     0     0     0     -0.273     -0.512      8.367      8.388      0.140
  2028       111   (pi0)              -84  2006  2016  2724  2725     0     0     -0.092      0.202      9.956      9.959      0.135
  2029       223   (omega)            -84  2006  2016  2726  2728     0     0     -0.298      0.388     10.132     10.174      0.783
  2030       221   (eta)              -84  2006  2016  2729  2731     0     0      0.067     -0.008      6.539      6.563      0.548
  2031       213   (rho+)             -84  2006  2016  2427  2428     0     0     -0.211     -0.113      2.517      2.690      0.917
  2032      -211   pi-                 84  2006  2016     0     0     0     0     -0.021     -0.326      0.457      0.579      0.140
  2033       111   (pi0)              -84  2006  2016  2732  2733     0     0      0.434     -0.026      0.075      0.462      0.135
  2034       213   (rho+)             -84  2006  2016  2429  2430     0     0     -0.127      0.185      0.836      1.503      1.229
  2035         1   (d)                -71  1433  1433  2037  2040   115     0      0.035     -0.868    536.011    536.012      0.330
  2036        -2   (ubar)             -71  1597  1597  2037  2040     0   115      0.722      2.373     -0.582      2.569      0.330
  2037       311   (K0)               -83  2035  2036  2431  2431     0     0     -0.482     -0.730    392.264    392.266      0.498
  2038      -313   (K*bar0)           -83  2035  2036  2432  2433     0     0      0.531      0.163    112.618    112.623      0.893
  2039       113   (rho0)             -84  2035  2036  2434  2435     0     0     -0.117     -0.086     31.141     31.152      0.807
  2040      -213   (rho-)             -84  2035  2036  2436  2437     0     0      0.825      2.157     -0.594      2.540      0.877
  2041         3   (s)                -71  1657  1657  2053  2073   124     0     -0.939      0.706    873.687    873.689      1.207
  2042        21   (g)                -71  1653  1653  2053  2073   229   124     -0.155      3.088    461.202    461.213      0.264
  2043        21   (g)                -71  1655  1655  2053  2073   176   229     -0.143      2.180    179.110    179.123      0.335
  2044        21   (g)                -71  1468  1468  2053  2073   163   176      0.631      0.396     68.083     68.087      0.000
  2045        21   (g)                -71  1649  1649  2053  2073   187   163     -1.060      0.105     44.398     44.411      0.168
  2046        21   (g)                -71  1659  1659  2053  2073   240   187     -3.635     -1.544     36.561     36.778      0.580
  2047        21   (g)                -71  1658  1658  2053  2073   416   240      0.158      1.903     36.548     36.602      0.566
  2048        21   (g)                -71  1656  1656  2053  2073   279   416      1.528      3.056     32.675     32.856      0.435
  2049        21   (g)                -71  1391  1391  2053  2073   261   279      0.361      1.354     10.586     10.678      0.000
  2050        21   (g)                -71  1543  1543  2053  2073   158   261     -0.060      3.457     21.461     21.738      0.000
  2051        21   (g)                -71  1654  1654  2053  2073   411   158      0.122      1.632      8.251      8.416      0.284
  2052        -2   (ubar)             -71  1442  1442  2053  2073     0   411      0.588     -0.259      4.155      4.217      0.330
  2053      -313   (K*bar0)           -83  2041  2052  2438  2439     0     0     -0.242      0.426    316.496    316.498      0.911
  2054      -213   (rho-)             -83  2041  2052  2440  2441     0     0     -0.535      1.247    678.613    678.616      1.249
  2055       213   (rho+)             -83  2041  2052  2442  2443     0     0     -0.559      1.531    185.564    185.573      0.774
  2056      -211   pi-                 83  2041  2052     0     0     0     0      0.994      1.637    202.807    202.817      0.140
  2057       211   pi+                 83  2041  2052     0     0     0     0     -0.689      0.407    118.436    118.438      0.140
  2058      -211   pi-                 83  2041  2052     0     0     0     0      0.129      0.678     29.029     29.037      0.140
  2059       211   pi+                 83  2041  2052     0     0     0     0     -0.496      0.195     62.578     62.580      0.140
  2060       111   (pi0)              -83  2041  2052  2734  2735     0     0      0.048      0.001      0.778      0.792      0.135
  2061       223   (omega)            -83  2041  2052  2736  2738     0     0     -0.251      0.178     13.909     13.935      0.783
  2062      -211   pi-                 83  2041  2052     0     0     0     0     -1.689     -0.463     24.785     24.847      0.140
  2063       211   pi+                 83  2041  2052     0     0     0     0      0.018     -0.060      4.249      4.252      0.140
  2064      2112   n0                  83  2041  2052     0     0     0     0     -1.808     -0.320     21.305     21.404      0.940
  2065       111   (pi0)              -84  2041  2052  2739  2740     0     0      0.191      0.856     22.699     22.716      0.135
  2066     -2114   (Deltabar0)        -84  2041  2052  2444  2445     0     0      0.146      0.401     11.478     11.560      1.303
  2067       113   (rho0)             -84  2041  2052  2446  2447     0     0      0.522      1.759     21.809     21.897      0.716
  2068       223   (omega)            -84  2041  2052  2741  2743     0     0      0.222      1.923     17.124     17.251      0.785
  2069       311   (K0)               -84  2041  2052  2448  2448     0     0      0.603      2.320     17.308     17.480      0.498
  2070      -323   (K*-)              -84  2041  2052  2449  2450     0     0      0.504      0.834      8.341      8.448      0.919
  2071       213   (rho+)             -84  2041  2052  2451  2452     0     0      0.138      0.914      8.185      8.283      0.872
  2072       223   (omega)            -84  2041  2052  2744  2746     0     0      0.162      1.192      9.443      9.551      0.778
  2073      -211   pi-                 84  2041  2052     0     0     0     0     -0.011      0.416      1.780      1.833      0.140
  2074         1   (d)                -71  1229  1229  2108  2149   284     0     -7.014      5.609      2.220      9.258      0.330
  2075        21   (g)                -71  1305  1305  2108  2149   478   284     -2.713      1.728      1.289      3.465      0.000
  2076        21   (g)                -71  1633  1633  2108  2149   321   478     -0.807      0.679     -0.163      1.071      0.089
  2077        21   (g)                -71  1254  1254  2108  2149   397   321     -1.147      2.540      0.371      2.812      0.000
  2078        21   (g)                -71  1284  1284  2108  2149   110   397      0.012     -0.023      0.143      0.145      0.000
  2079        21   (g)                -71  1638  1638  2108  2149   366   110     -0.440      4.568      0.416      4.614      0.238
  2080        21   (g)                -71  1278  1278  2108  2149   154   366      0.102      1.606     -0.420      1.663      0.000
  2081        21   (g)                -71  1235  1235  2108  2149   189   154      0.695      3.129     -0.134      3.208      0.000
  2082        21   (g)                -71  1282  1282  2108  2149   386   189      0.734      1.777     -0.617      2.019      0.000
  2083        21   (g)                -71  1640  1640  2108  2149   166   386     -0.858      4.297     -1.949      4.809      0.355
  2084        21   (g)                -71  1271  1271  2108  2149   344   166      0.027      1.693     -0.504      1.767      0.000
  2085        21   (g)                -71  1267  1267  2108  2149   331   344      0.017      0.841     -1.313      1.559      0.000
  2086        21   (g)                -71  1636  1636  2108  2149   200   331      2.345      1.449     -2.020      3.422      0.178
  2087        21   (g)                -71  1292  1292  2108  2149   468   200      0.880      0.233     -0.010      0.910      0.000
  2088        21   (g)                -71  1631  1631  2108  2149   343   468      1.930      0.906     -1.953      2.892      0.066
  2089        21   (g)                -71  1257  1257  2108  2149   438   343      9.906      6.819    -13.897     18.378      0.000
  2090        21   (g)                -71  1293  1293  2108  2149   287   438      7.744      5.360     -9.721     13.534      0.000
  2091        21   (g)                -71  1642  1642  2108  2149   357   287     50.538     34.649    -68.522     91.925      0.576
  2092        21   (g)                -71  1275  1275  2108  2149   278   357      0.796      0.181     -0.527      0.971      0.000
  2093        21   (g)                -71  1253  1253  2108  2149   171   278      2.525      2.167     -3.644      4.935      0.000
  2094        21   (g)                -71  1233  1233  2108  2149   447   171      1.626      2.244     -2.330      3.621      0.000
  2095        21   (g)                -71  1637  1637  2108  2149   393   447      2.529      2.762     -4.847      6.129      0.231
  2096        21   (g)                -71  1249  1249  2108  2149   104   393      2.601      2.126     -4.105      5.304      0.000
  2097        21   (g)                -71  1281  1281  2108  2149   385   104      3.415      4.432     -4.383      7.107      0.000
  2098        21   (g)                -71  1236  1236  2108  2149   190   385      0.339      1.000     -1.199      1.598      0.000
  2099        21   (g)                -71  1238  1238  2108  2149   217   190      1.900      2.472     -2.700      4.124      0.000
  2100        21   (g)                -71  1241  1241  2108  2149   417   217      2.673      4.223     -3.219      5.945      0.000
  2101        21   (g)                -71  1289  1289  2108  2149   233   417      0.288      1.348     -0.682      1.538      0.000
  2102        21   (g)                -71  1634  1634  2108  2149   188   233      0.036      1.084      0.382      1.156      0.113
  2103        21   (g)                -71  1279  1279  2108  2149   439   188      0.449      0.045     -0.365      0.581      0.000
  2104        21   (g)                -71  1294  1294  2108  2149   182   439      0.537      0.411      0.447      0.811      0.000
  2105        21   (g)                -71  1632  1632  2108  2149   107   182     -0.469      0.744      1.092      1.405      0.086
  2106        21   (g)                -71  1641  1641  2108  2149   173   107     -0.853      1.005     -3.665      3.930      0.521
  2107        -2   (ubar)             -71  1639  1639  2108  2149     0   173      1.281      2.526     -9.688     10.110      0.571
  2108       111   (pi0)              -83  2074  2107  2747  2748     0     0     -2.152      1.626      1.096      2.914      0.135
  2109      -213   (rho-)             -83  2074  2107  2453  2454     0     0     -3.793      3.036      0.829      4.996      0.820
  2110       321   K+                  83  2074  2107     0     0     0     0     -3.297      2.798      0.727      4.413      0.494
  2111      -311   (Kbar0)            -83  2074  2107  2455  2455     0     0     -0.861      0.993      0.699      1.570      0.498
  2112      3112   (Sigma-)           -83  2074  2107  2749  2750     0     0     -0.687      2.346      0.294      2.738      1.197
  2113     -3212   (Sigmabar0)        -83  2074  2107  2751  2752     0     0     -0.408      2.996     -0.039      3.251      1.193
  2114       113   (rho0)             -83  2074  2107  2456  2457     0     0     -0.317      1.840     -0.175      2.037      0.797
  2115       323   (K*+)              -83  2074  2107  2458  2459     0     0      0.016      2.822      0.159      2.969      0.908
  2116      -321   K-                  83  2074  2107     0     0     0     0      0.547      1.900     -0.249      2.053      0.494
  2117       213   (rho+)             -83  2074  2107  2460  2461     0     0     -0.171      3.751     -1.289      4.071      0.902
  2118      -211   pi-                 83  2074  2107     0     0     0     0     -0.102      0.108     -0.130      0.242      0.140
  2119       323   (K*+)              -83  2074  2107  2462  2463     0     0      0.643      1.589     -1.227      2.316      0.961
  2120      -321   K-                  83  2074  2107     0     0     0     0     -0.019      1.077     -0.485      1.280      0.494
  2121       211   pi+                 83  2074  2107     0     0     0     0     -0.363      1.647     -1.044      1.988      0.140
  2122       111   (pi0)              -84  2074  2107  2753  2754     0     0      1.521      1.046     -1.086      2.146      0.135
  2123      2112   n0                  84  2074  2107     0     0     0     0      2.746      2.104     -3.503      5.012      0.940
  2124     -2112   nbar0               84  2074  2107     0     0     0     0      4.558      2.759     -5.123      7.451      0.940
  2125       221   (eta)              -84  2074  2107  2755  2757     0     0      3.211      2.272     -3.667      5.406      0.548
  2126       111   (pi0)              -84  2074  2107  2758  2759     0     0      2.140      1.330     -2.299      3.414      0.135
  2127      -211   pi-                 84  2074  2107     0     0     0     0      7.480      4.987     -9.940     13.404      0.140
  2128       111   (pi0)              -84  2074  2107  2760  2761     0     0      1.916      1.273     -2.089      3.110      0.135
  2129      2224   (Delta++)          -84  2074  2107  2464  2465     0     0     14.913      9.950    -21.937     28.357      1.223
  2130      -213   (rho-)             -84  2074  2107  2466  2467     0     0      7.739      5.355     -9.794     13.603      0.754
  2131     -2114   (Deltabar0)        -84  2074  2107  2468  2469     0     0     24.008     16.741    -33.061     44.174      1.286
  2132       223   (omega)            -84  2074  2107  2762  2764     0     0      3.420      2.691     -4.430      6.258      0.777
  2133       111   (pi0)              -84  2074  2107  2765  2766     0     0      2.526      2.547     -3.924      5.318      0.135
  2134       223   (omega)            -84  2074  2107  2767  2769     0     0      2.354      1.809     -3.820      4.900      0.776
  2135      -213   (rho-)             -84  2074  2107  2470  2471     0     0      4.755      4.813     -6.113      9.191      1.156
  2136       213   (rho+)             -84  2074  2107  2472  2473     0     0      2.126      2.656     -3.231      4.749      0.735
  2137      -211   pi-                 84  2074  2107     0     0     0     0     -0.038      0.774     -0.563      0.968      0.140
  2138       111   (pi0)              -84  2074  2107  2770  2771     0     0      0.325      0.610     -0.331      0.778      0.135
  2139       113   (rho0)             -84  2074  2107  2474  2475     0     0      3.229      3.896     -4.783      7.022      0.907
  2140       213   (rho+)             -84  2074  2107  2476  2477     0     0      0.802      1.342     -1.041      2.043      0.802
  2141      -211   pi-                 84  2074  2107     0     0     0     0      0.980      1.513     -0.855      2.000      0.140
  2142       213   (rho+)             -84  2074  2107  2478  2479     0     0      1.195      2.142     -1.939      3.287      1.014
  2143       313   (K*0)              -84  2074  2107  2480  2481     0     0      0.217      1.473      0.693      1.867      0.887
  2144      -311   (Kbar0)            -84  2074  2107  2482  2482     0     0     -0.009      0.076     -0.027      0.504      0.498
  2145      -211   pi-                 84  2074  2107     0     0     0     0      0.534      0.110      0.576      0.805      0.140
  2146       113   (rho0)             -84  2074  2107  2483  2484     0     0     -0.694      1.327     -3.173      3.617      0.878
  2147       113   (rho0)             -84  2074  2107  2485  2486     0     0      0.745      1.608     -5.977      6.408      1.481
  2148       211   pi+                 84  2074  2107     0     0     0     0     -0.130      0.335     -2.498      2.527      0.140
  2149      -211   pi-                 84  2074  2107     0     0     0     0      0.019      0.559     -1.447      1.557      0.140
  2150         3   (s)                -71  1509  1509  2173  2207   144     0     -0.371      1.604     -2.602      3.119      0.500
  2151        21   (g)                -71  1731  1731  2173  2207   460   144      2.894     -0.996    -14.431     14.756      0.353
  2152        21   (g)                -71  1734  1734  2173  2207   164   460      2.451     -1.543    -27.204     27.363      0.512
  2153        21   (g)                -71  1428  1428  2173  2207   457   164      0.208     -0.118     -0.540      0.590      0.000
  2154        21   (g)                -71  1726  1726  2173  2207   258   457     -0.177     -1.550     -1.123      1.930      0.172
  2155        21   (g)                -71  1730  1730  2173  2207   448   258      1.450     -5.208     -4.256      6.888      0.332
  2156        21   (g)                -71  1231  1231  2173  2207   449   448      1.292      0.010     -1.321      1.848      0.000
  2157        21   (g)                -71  1733  1733  2173  2207   149   449      4.719      0.494     -8.440      9.692      0.446
  2158        21   (g)                -71  1221  1221  2173  2207   140   149      0.395      0.253     -0.542      0.717      0.000
  2159        21   (g)                -71  1725  1725  2173  2207   277   140     -1.118      1.525     -1.101      2.194      0.159
  2160        21   (g)                -71  1718  1718  2173  2207   392   277     -0.728      0.380     -0.519      0.975      0.080
  2161        21   (g)                -71  1732  1732  2173  2207   419   392     -1.833      0.061     -1.839      2.631      0.417
  2162        21   (g)                -71  1724  1724  2173  2207   153   419     -0.811      0.116     -0.116      0.842      0.157
  2163        21   (g)                -71  1252  1252  2173  2207   352   153      0.496      0.528      0.324      0.793      0.000
  2164        21   (g)                -71  1723  1723  2173  2207   246   352      0.104     -0.969      0.035      0.987      0.153
  2165        21   (g)                -71  1729  1729  2173  2207   398   246     -2.211     -1.853      1.772      3.399      0.306
  2166        21   (g)                -71  1285  1285  2173  2207   241   398     -0.802     -1.577      0.623      1.876      0.000
  2167        21   (g)                -71  1720  1720  2173  2207   103   241     -1.868     -2.399      2.700      4.067      0.099
  2168        21   (g)                -71  1721  1721  2173  2207   342   103     -8.893    -16.878     11.323     22.185      0.106
  2169        21   (g)                -71  1215  1215  2173  2207   106   342    -21.019    -40.618     29.247     54.286      0.000
  2170        21   (g)                -71  1262  1262  2173  2207   313   106     -5.510    -11.173      8.262     14.948      0.000
  2171        21   (g)                -71  1261  1261  2173  2207   305   313     -5.486    -12.138      7.457     15.266      0.000
  2172        -2   (ubar)             -71  1728  1728  2173  2207     0   305     -2.295     -7.392      3.445      8.487      0.513
  2173      -311   (Kbar0)            -83  2150  2172  2487  2487     0     0      0.072      0.323     -0.936      1.110      0.498
  2174      -213   (rho-)             -83  2150  2172  2488  2489     0     0      0.653     -0.195     -3.687      3.867      0.948
  2175       321   K+                  83  2150  2172     0     0     0     0     -0.073      1.090     -2.815      3.060      0.494
  2176      -323   (K*-)              -83  2150  2172  2490  2491     0     0      1.008     -0.498     -9.056      9.169      0.894
  2177       213   (rho+)             -83  2150  2172  2492  2493     0     0      1.672     -0.739    -11.814     11.981      0.782
  2178       113   (rho0)             -83  2150  2172  2494  2495     0     0      0.997     -0.420     -6.602      6.736      0.786
  2179      -211   pi-                 83  2150  2172     0     0     0     0      0.106     -0.338     -4.335      4.351      0.140
  2180       211   pi+                 83  2150  2172     0     0     0     0      0.302     -0.305     -2.883      2.918      0.140
  2181      -213   (rho-)             -83  2150  2172  2496  2497     0     0      0.004     -0.576     -1.957      2.171      0.745
  2182      2212   p+                  83  2150  2172     0     0     0     0      0.447     -0.916     -1.877      2.333      0.938
  2183       111   (pi0)              -83  2150  2172  2772  2773     0     0      1.095     -2.407     -1.708      3.151      0.135
  2184     -2114   (Deltabar0)        -83  2150  2172  2498  2499     0     0      0.310     -2.275     -2.574      3.679      1.280
  2185       223   (omega)            -83  2150  2172  2774  2776     0     0      1.680      0.015     -2.105      2.804      0.779
  2186      -211   pi-                 83  2150  2172     0     0     0     0      0.683     -0.079     -2.193      2.302      0.140
  2187       323   (K*+)              -83  2150  2172  2500  2501     0     0      1.394      0.169     -1.145      2.069      0.999
  2188      -313   (K*bar0)           -83  2150  2172  2502  2503     0     0      0.622      0.050     -2.104      2.370      0.894
  2189      -213   (rho-)             -83  2150  2172  2504  2505     0     0      1.179      0.545     -2.718      3.208      1.104
  2190       211   pi+                 83  2150  2172     0     0     0     0      0.078     -0.060     -0.577      0.602      0.140
  2191       113   (rho0)             -83  2150  2172  2506  2507     0     0     -0.942      0.731     -0.872      1.644      0.720
  2192      -213   (rho-)             -83  2150  2172  2508  2509     0     0     -0.292      0.286     -0.491      1.084      0.876
  2193       211   pi+                 83  2150  2172     0     0     0     0     -2.043      0.764     -1.493      2.647      0.140
  2194       111   (pi0)              -84  2150  2172  2777  2778     0     0     -0.007     -0.294      0.402      0.515      0.135
  2195       221   (eta)              -84  2150  2172  2779  2781     0     0     -0.130      0.091     -0.122      0.583      0.548
  2196       313   (K*0)              -84  2150  2172  2510  2511     0     0     -0.203     -0.139      0.131      0.921      0.878
  2197      -313   (K*bar0)           -84  2150  2172  2512  2513     0     0     -1.098     -1.835      1.121      2.575      0.893
  2198      -213   (rho-)             -84  2150  2172  2514  2515     0     0     -2.118     -2.431      1.619      3.686      0.753
  2199      2224   (Delta++)          -84  2150  2172  2516  2517     0     0     -6.478    -11.832      8.821     16.160      1.177
  2200      -211   pi-                 84  2150  2172     0     0     0     0     -1.774     -4.053      2.647      5.158      0.140
  2201     -2212   pbar-               84  2150  2172     0     0     0     0     -8.616    -16.252     12.018     21.992      0.938
  2202       211   pi+                 84  2150  2172     0     0     0     0     -3.552     -6.057      4.109      8.137      0.140
  2203       113   (rho0)             -84  2150  2172  2518  2519     0     0    -16.986    -34.508     24.347     45.535      1.143
  2204       223   (omega)            -84  2150  2172  2782  2784     0     0     -1.766     -4.207      2.747      5.384      0.792
  2205      -211   pi-                 84  2150  2172     0     0     0     0     -2.037     -4.680      2.647      5.752      0.140
  2206       111   (pi0)              -84  2150  2172  2785  2786     0     0     -0.492     -1.493      0.757      1.749      0.135
  2207       113   (rho0)             -84  2150  2172  2520  2521     0     0     -2.806     -6.917      3.851      8.435      0.773
  2208        21   (g)                -71  1469  1469  2240  2284   455   441      0.665     -0.597    287.102    287.103      0.000
  2209        21   (g)                -71  1609  1609  2240  2284   441   225      2.046     -2.087    524.966    524.974      0.187
  2210        21   (g)                -71  1443  1443  2240  2284   225   400      0.658     -0.016     92.949     92.952      0.000
  2211        21   (g)                -71  1450  1450  2240  2284   400   130     -0.003     -0.276     57.982     57.983      0.000
  2212        21   (g)                -71  1400  1400  2240  2284   130   358      0.192     -0.661     39.615     39.621      0.000
  2213        21   (g)                -71  1389  1389  2240  2284   358   437     -2.252     -1.071     16.904     17.087      0.000
  2214        21   (g)                -71  1608  1608  2240  2284   437   121     -3.299     -1.265     17.665     18.016      0.176
  2215        21   (g)                -71  1607  1607  2240  2284   121   450     -1.902     -1.311      9.971     10.236      0.169
  2216        21   (g)                -71  1615  1615  2240  2284   450   137     -1.379      0.751      8.106      8.277      0.573
  2217         1   (d)                -71  1491  1491  2240  2284   137     0     -1.297      1.750      4.808      5.289      0.330
  2218        21   (g)                -71  1364  1364  2240  2284   167   222      1.227     -0.290   -108.231    108.238      0.000
  2219        21   (g)                -71  1362  1362  2240  2284   222   118      1.149     -0.222    -25.745     25.771      0.000
  2220        21   (g)                -71  1355  1355  2240  2284   118   308      3.640      0.868    -64.706     64.814      0.000
  2221        21   (g)                -71  1613  1613  2240  2284   308   446      0.518     -0.241    -14.150     14.171      0.515
  2222        21   (g)                -71  1357  1357  2240  2284   446   180      0.610      0.593     -7.998      8.043      0.000
  2223        21   (g)                -71  1376  1376  2240  2284   180   382     -0.161      0.064     -4.756      4.759      0.000
  2224        21   (g)                -71  1366  1366  2240  2284   382   272     -0.939      0.176     -2.957      3.107      0.000
  2225        21   (g)                -71  1354  1354  2240  2284   272   333      0.004      0.242     -7.522      7.526      0.000
  2226        21   (g)                -71  1611  1611  2240  2284   333   486     -1.064      0.726    -11.164     11.242      0.294
  2227        21   (g)                -71  1365  1365  2240  2284   486   263     -0.335     -0.075     -0.743      0.818      0.000
  2228        21   (g)                -71  1358  1358  2240  2284   263   451      0.264     -1.374    -20.268     20.316      0.000
  2229        21   (g)                -71  1610  1610  2240  2284   451   303      0.427     -0.116     -9.230      9.244      0.246
  2230        21   (g)                -71  1356  1356  2240  2284   303   212      2.553     -0.638    -30.920     31.032      0.000
  2231        21   (g)                -71  1360  1360  2240  2284   212   299      0.353      0.231     -2.374      2.411      0.000
  2232        21   (g)                -71  1369  1369  2240  2284   299   422      0.181      0.178    -11.596     11.599      0.000
  2233        21   (g)                -71  1379  1379  2240  2284   422   228     -0.653     -0.057    -10.183     10.204      0.000
  2234        21   (g)                -71  1616  1616  2240  2284   228   274      0.066      0.657     -3.010      3.135      0.577
  2235        21   (g)                -71  1612  1612  2240  2284   274   466      0.385     -1.297     -0.640      1.526      0.298
  2236        21   (g)                -71  1374  1374  2240  2284   466   324     -0.333     -0.345      0.931      1.047      0.000
  2237        21   (g)                -71  1614  1614  2240  2284   324   407     -1.796      0.230      1.920      2.700      0.570
  2238         1   (d)                -71  1372  1372  2240  2284   407     0     -1.548     -0.520      1.479      2.228      0.330
  2239         2   (u)                -71  1598  1598  2240  2284   160     0     -0.727      0.213     13.171     13.197      0.330
  2240       211   pi+                 85  2208  2239     0     0     0     0     -0.147      0.503      8.840      8.856      0.140
  2241       223   (omega)            -86  2208  2239  2787  2789     0     0     -1.444      1.307      7.806      8.085      0.802
  2242       113   (rho0)             -86  2208  2239  2522  2523     0     0     -1.046     -0.534      4.340      4.561      0.768
  2243      -211   pi-                 86  2208  2239     0     0     0     0     -0.349     -0.087      0.593      0.707      0.140
  2244       221   (eta)              -86  2208  2239  2790  2792     0     0     -0.658      0.299      5.866      5.936      0.548
  2245       211   pi+                 86  2208  2239     0     0     0     0     -0.833      0.516      2.528      2.715      0.140
  2246       313   (K*0)              -86  2208  2239  2524  2525     0     0     -3.016     -1.334     19.446     19.744      0.893
  2247      -323   (K*-)              -86  2208  2239  2526  2527     0     0     -2.000     -1.045     13.018     13.244      0.911
  2248       221   (eta)              -86  2208  2239  2793  2795     0     0      0.123     -0.397     11.569     11.589      0.548
  2249       113   (rho0)             -86  2208  2239  2528  2529     0     0     -0.014     -0.263     81.995     82.002      1.053
  2250       113   (rho0)             -86  2208  2239  2530  2531     0     0     -0.340     -0.040     11.798     11.828      0.774
  2251       211   pi+                 86  2208  2239     0     0     0     0      0.023     -0.263     27.551     27.552      0.140
  2252      2112   n0                  86  2208  2239     0     0     0     0      0.558     -0.834    153.045    153.051      0.940
  2253     -2212   pbar-               86  2208  2239     0     0     0     0      0.787     -0.637    307.153    307.156      0.938
  2254      2212   p+                  86  2208  2239     0     0     0     0      1.391     -1.065    304.118    304.125      0.938
  2255     -2112   nbar0               86  2208  2239     0     0     0     0     -0.129     -0.349     89.508     89.514      0.940
  2256       311   (K0)               -83  2208  2239  2532  2532     0     0     -1.767     -0.544      1.978      2.753      0.498
  2257      -313   (K*bar0)           -83  2208  2239  2533  2534     0     0     -0.361     -0.600      0.391      1.188      0.876
  2258      3112   (Sigma-)           -83  2208  2239  2796  2797     0     0     -1.034      0.248      1.338      2.087      1.197
  2259     -3112   (Sigmabar+)        -83  2208  2239  2798  2799     0     0     -0.225     -0.040     -1.020      1.589      1.197
  2260       111   (pi0)              -83  2208  2239  2800  2801     0     0     -0.167      0.022      0.008      0.216      0.135
  2261       313   (K*0)              -83  2208  2239  2535  2536     0     0     -0.241     -0.550     -1.562      1.922      0.945
  2262      -313   (K*bar0)           -83  2208  2239  2537  2538     0     0     -0.119      0.008     -1.918      2.115      0.885
  2263      -211   pi-                 83  2208  2239     0     0     0     0      0.319     -0.118     -0.481      0.605      0.140
  2264       323   (K*+)              -83  2208  2239  2539  2540     0     0      0.293      0.254     -4.389      4.493      0.879
  2265      -323   (K*-)              -83  2208  2239  2541  2542     0     0      0.190      0.474    -11.350     11.397      0.900
  2266      2212   p+                  83  2208  2239     0     0     0     0      0.838      0.058    -19.884     19.924      0.938
  2267     -2212   pbar-               83  2208  2239     0     0     0     0      0.413     -1.031    -13.665     13.742      0.938
  2268      3222   (Sigma+)           -83  2208  2239  2802  2803     0     0      1.469     -0.736    -26.245     26.324      1.189
  2269     -3222   (Sigmabar-)        -83  2208  2239  2804  2805     0     0     -0.171     -0.482    -10.418     10.498      1.189
  2270       213   (rho+)             -84  2208  2239  2543  2544     0     0     -1.216      0.513    -12.812     12.894      0.611
  2271       113   (rho0)             -84  2208  2239  2545  2546     0     0      0.499      0.888     -8.481      8.573      0.731
  2272       313   (K*0)              -84  2208  2239  2547  2548     0     0     -0.854     -0.306    -12.774     12.838      0.896
  2273      3112   (Sigma-)           -84  2208  2239  2806  2807     0     0      2.284      0.645    -33.651     33.756      1.197
  2274       223   (omega)            -84  2208  2239  2808  2810     0     0      2.392      0.234    -61.180     61.232      0.785
  2275     -1114   (Deltabar+)        -84  2208  2239  2549  2550     0     0      1.095      0.177    -61.509     61.532      1.245
  2276      -211   pi-                 84  2208  2239     0     0     0     0      0.541     -0.633    -16.615     16.636      0.140
  2277       213   (rho+)             -84  2208  2239  2551  2552     0     0     -0.253      0.169     -9.287      9.316      0.675
  2278       111   (pi0)              -84  2208  2239  2811  2812     0     0      0.410      0.107     -2.300      2.342      0.135
  2279       313   (K*0)              -84  2208  2239  2553  2554     0     0     -0.167      0.024    -20.917     20.936      0.891
  2280      -313   (K*bar0)           -84  2208  2239  2555  2556     0     0      0.550     -0.206     -3.210      3.388      0.910
  2281      -213   (rho-)             -84  2208  2239  2557  2558     0     0     -0.307     -0.006     -1.603      1.794      0.744
  2282       223   (omega)            -84  2208  2239  2813  2815     0     0      0.273     -0.043      5.103      5.172      0.791
  2283      2214   (Delta+)           -84  2208  2239  2559  2560     0     0     -0.414      0.334     11.845     11.913      1.153
  2284      -211   pi-                 84  2208  2239     0     0     0     0      0.077     -0.417      6.810      6.824      0.140
  2285         1   (d)                -71  1310  1310  2291  2311   119     0      3.520     -0.810     -4.237      5.578      0.330
  2286        21   (g)                -71  1340  1340  2291  2311   387   119      0.288     -0.086     -2.525      2.543      0.000
  2287        21   (g)                -71  1344  1344  2291  2311   413   387     -0.782      0.331   -170.102    170.105      0.000
  2288        21   (g)                -71  1333  1333  2291  2311   345   413     -0.244      0.533    -35.512     35.517      0.000
  2289        21   (g)                -71  1329  1329  2291  2311   208   345     -2.616      0.222   -558.124    558.131      0.000
  2290        -1   (dbar)             -71  1599  1599  2291  2311     0   208     -0.084     -0.011    820.448    820.448      0.330
  2291       223   (omega)            -83  2285  2290  2816  2818     0     0      3.694     -0.745     -4.925      6.250      0.784
  2292      -213   (rho-)             -83  2285  2290  2561  2562     0     0      0.006      0.162    -12.446     12.468      0.723
  2293       211   pi+                 83  2285  2290     0     0     0     0     -0.742     -0.003   -149.289    149.291      0.140
  2294      -211   pi-                 83  2285  2290     0     0     0     0     -0.883      0.224    -60.614     60.621      0.140
  2295       213   (rho+)             -83  2285  2290  2563  2564     0     0      0.095     -0.415    -68.126     68.132      0.832
  2296       111   (pi0)              -83  2285  2290  2819  2820     0     0     -0.148      0.606    -93.071     93.073      0.135
  2297      -213   (rho-)             -83  2285  2290  2565  2566     0     0     -0.798      0.115   -173.221    173.227      1.146
  2298       213   (rho+)             -83  2285  2290  2567  2568     0     0     -0.468      0.310   -138.021    138.027      1.131
  2299       113   (rho0)             -83  2285  2290  2569  2570     0     0     -0.612     -0.310    -48.918     48.935      1.094
  2300      -213   (rho-)             -83  2285  2290  2571  2572     0     0      0.058      0.165     -5.852      5.920      0.882
  2301       113   (rho0)             -84  2285  2290  2573  2574     0     0     -0.226     -0.004     -6.639      6.679      0.692
  2302       213   (rho+)             -84  2285  2290  2575  2576     0     0      0.501      0.306     -7.981      8.036      0.724
  2303       113   (rho0)             -84  2285  2290  2577  2578     0     0     -0.321     -0.307     -0.608      1.064      0.752
  2304       113   (rho0)             -84  2285  2290  2579  2580     0     0      0.283      0.261     -0.077      0.768      0.659
  2305      -211   pi-                 84  2285  2290     0     0     0     0     -0.126     -0.304      3.297      3.316      0.140
  2306       211   pi+                 84  2285  2290     0     0     0     0     -0.141      0.208      1.337      1.368      0.140
  2307       223   (omega)            -84  2285  2290  2821  2823     0     0      0.086      0.116     15.943     15.963      0.784
  2308       113   (rho0)             -84  2285  2290  2581  2582     0     0     -0.181     -0.265     17.567     17.591      0.857
  2309      -213   (rho-)             -84  2285  2290  2583  2584     0     0      0.072      0.370    364.594    364.595      0.773
  2310       211   pi+                 84  2285  2290     0     0     0     0     -0.302     -0.174    249.643    249.643      0.140
  2311       113   (rho0)             -84  2285  2290  2585  2586     0     0      0.237     -0.137    167.353    167.355      0.767
  2312       310   (K_S0)             -91  1748  1748  2824  2825     0     0      3.242      1.768    -29.040     29.278      0.498
  2313       311   (K0)               -91  1753     0  2587  2587     0     0     -0.231      0.221    236.130    236.131      0.498
  2314       211   pi+                 91  1753     0     0     0     0     0     -0.064      0.309     55.011     55.012      0.140
  2315       321   K+                  91  1758     0     0     0     0     0      1.448      0.909    -10.404     10.555      0.494
  2316      -211   pi-                 91  1758     0     0     0     0     0      0.514      0.078     -5.154      5.182      0.140
  2317      -211   pi-                 91  1762     0     0     0     0     0      0.011      0.493      0.204      0.551      0.140
  2318       111   (pi0)              -91  1762     0  2826  2827     0     0      0.187     -0.194      0.971      1.017      0.135
  2319       211   pi+                 91  1772     0     0     0     0     0     -0.986      0.741      4.617      4.781      0.140
  2320      -211   pi-                 91  1772     0     0     0     0     0     -0.461      1.354      4.166      4.407      0.140
  2321       211   pi+                 91  1776     0     0     0     0     0     -1.112      0.940      3.378      3.681      0.140
  2322      -211   pi-                 91  1776     0     0     0     0     0     -0.203     -0.117      0.427      0.507      0.140
  2323       211   pi+                 91  1786     0     0     0     0     0     -3.612      3.167     -0.271      4.813      0.140
  2324       111   (pi0)              -91  1786     0  2828  2829     0     0     -0.990      0.441     -0.046      1.093      0.135
  2325       310   (K_S0)             -91  1790  1790  2830  2831     0     0     -0.442     -0.400   -151.397    151.399      0.498
  2326       211   pi+                 91  1793     0     0     0     0     0      0.433      0.043    -98.238     98.239      0.140
  2327       111   (pi0)              -91  1793     0  2832  2833     0     0     -0.483     -0.136   -157.129    157.130      0.135
  2328      2112   n0                  91  1806     0     0     0     0     0     -1.953     -0.770    -37.364     37.435      0.940
  2329       111   (pi0)              -91  1806     0  2834  2835     0     0     -1.520     -0.384    -26.393     26.440      0.135
  2330     -2112   nbar0               91  1808     0     0     0     0     0     -1.886      0.051    -25.315     25.403      0.940
  2331      -211   pi-                 91  1808     0     0     0     0     0     -0.517      0.270     -7.611      7.634      0.140
  2332       130   K_L0                91  1811  1811     0     0     0     0     -0.504     -0.467    -14.109     14.134      0.498
  2333       211   pi+                 91  1818     0     0     0     0     0      0.529      0.266     -7.534      7.559      0.140
  2334       111   (pi0)              -91  1818     0  2836  2837     0     0      0.698     -0.257     -6.782      6.824      0.135
  2335      -211   pi-                 91  1819     0     0     0     0     0      1.160     -0.436    -13.842     13.898      0.140
  2336       111   (pi0)              -91  1819     0  2838  2839     0     0      1.535      0.301    -29.622     29.664      0.135
  2337       211   pi+                 91  1823     0     0     0     0     0     -0.540     -0.274    -68.136     68.139      0.140
  2338      -211   pi-                 91  1823     0     0     0     0     0      0.091     -0.876    -88.743     88.747      0.140
  2339       211   pi+                 91  1836     0     0     0     0     0     -0.836     -1.755      1.199      2.288      0.140
  2340       111   (pi0)              -91  1836     0  2840  2841     0     0     -0.766     -2.580      2.399      3.608      0.135
  2341       130   K_L0                91  1837  1837     0     0     0     0     -0.990     -1.938      3.146      3.858      0.498
  2342       310   (K_S0)             -91  1840  1840  2842  2843     0     0     -2.216     -1.260      0.483      2.642      0.498
  2343       211   pi+                 91  1841     0     0     0     0     0     -0.304     -0.036      0.627      0.712      0.140
  2344      -211   pi-                 91  1841     0     0     0     0     0     -0.159     -0.172     -0.156      0.314      0.140
  2345      -211   pi-                 91  1842     0     0     0     0     0     -0.591     -0.682      0.275      0.953      0.140
  2346       111   (pi0)              -91  1842     0  2844  2845     0     0     -0.525     -0.080     -0.217      0.589      0.135
  2347       211   pi+                 91  1843     0     0     0     0     0     -0.248      0.133      0.888      0.942      0.140
  2348       111   (pi0)              -91  1843     0  2846  2847     0     0     -0.665      2.746      6.068      6.695      0.135
  2349      -211   pi-                 91  1853     0     0     0     0     0     -0.808      0.222    151.818    151.821      0.140
  2350       111   (pi0)              -91  1853     0  2848  2849     0     0     -0.656     -0.061     39.603     39.609      0.135
  2351       211   pi+                 91  1863     0     0     0     0     0     -0.139     -0.417     17.207     17.213      0.140
  2352      -211   pi-                 91  1863     0     0     0     0     0      0.286     -0.105     14.643     14.647      0.140
  2353      -211   pi-                 91  1867     0     0     0     0     0      0.587      0.065     15.597     15.609      0.140
  2354       111   (pi0)              -91  1867     0  2850  2851     0     0      1.292     -0.083     11.473     11.547      0.135
  2355       310   (K_S0)             -91  1872  1872  2852  2853     0     0     -0.449      0.192     14.461     14.477      0.498
  2356      2112   n0                  91  1875     0     0     0     0     0     -0.006     -0.068      3.443      3.569      0.940
  2357       111   (pi0)              -91  1875     0  2854  2855     0     0     -0.182     -0.014      0.895      0.923      0.135
  2358      -211   pi-                 91  1876     0     0     0     0     0      0.354      0.055      0.409      0.561      0.140
  2359       111   (pi0)              -91  1876     0  2856  2857     0     0     -0.785     -0.133      0.350      0.880      0.135
  2360     -2112   nbar0               91  1877     0     0     0     0     0     -1.173      1.723     -2.025      3.054      0.940
  2361       211   pi+                 91  1877     0     0     0     0     0     -0.498      0.338     -0.244      0.664      0.140
  2362       211   pi+                 91  1888     0     0     0     0     0     -1.047      0.330      4.484      4.618      0.140
  2363      -211   pi-                 91  1888     0     0     0     0     0     -0.068      0.335      0.916      0.988      0.140
  2364       211   pi+                 91  1889     0     0     0     0     0     -0.536     -1.163     11.169     11.243      0.140
  2365       111   (pi0)              -91  1889     0  2858  2859     0     0     -0.365     -0.097      1.507      1.559      0.135
  2366      -211   pi-                 91  1890     0     0     0     0     0     -0.697     -0.150      3.478      3.553      0.140
  2367       111   (pi0)              -91  1890     0  2860  2861     0     0     -0.496      0.261      1.175      1.309      0.135
  2368       211   pi+                 91  1895     0     0     0     0     0     -0.506      0.631     19.298     19.316      0.140
  2369      -211   pi-                 91  1895     0     0     0     0     0     -0.675      0.032     10.541     10.564      0.140
  2370       311   (K0)               -91  1898     0  2588  2588     0     0     -1.018      1.025    155.398    155.406      0.498
  2371       111   (pi0)              -91  1898     0  2862  2863     0     0      0.026      0.445     30.154     30.157      0.135
  2372       310   (K_S0)             -91  1899  1899  2864  2865     0     0     -0.677     -0.460    153.776    153.779      0.498
  2373       211   pi+                 91  1917     0     0     0     0     0      0.206      0.191      3.285      3.300      0.140
  2374      -211   pi-                 91  1917     0     0     0     0     0      1.471     -0.134      7.863      8.002      0.140
  2375      -211   pi-                 91  1921     0     0     0     0     0     -0.138     -0.413      2.029      2.080      0.140
  2376       111   (pi0)              -91  1921     0  2866  2867     0     0      0.488     -0.716     10.097     10.135      0.135
  2377       211   pi+                 91  1922     0     0     0     0     0      0.145      0.040      1.695      1.708      0.140
  2378       111   (pi0)              -91  1922     0  2868  2869     0     0      0.222     -1.297     11.521     11.597      0.135
  2379       211   pi+                 91  1930     0     0     0     0     0      0.309     -0.508      0.916      1.101      0.140
  2380       111   (pi0)              -91  1930     0  2870  2871     0     0      0.512      0.740      1.654      1.888      0.135
  2381       211   pi+                 91  1933     0     0     0     0     0      0.283      0.182     -0.074      0.372      0.140
  2382      -211   pi-                 91  1933     0     0     0     0     0      0.001     -0.381      0.353      0.538      0.140
  2383       211   pi+                 91  1934     0     0     0     0     0      0.448     -0.607     -0.475      0.903      0.140
  2384      -211   pi-                 91  1934     0     0     0     0     0      0.812     -0.093      0.321      0.889      0.140
  2385       211   pi+                 91  1947     0     0     0     0     0     -0.169     -0.465     -9.837      9.850      0.140
  2386       111   (pi0)              -91  1947     0  2872  2873     0     0      0.332      0.219    -11.270     11.278      0.135
  2387      -211   pi-                 91  1948     0     0     0     0     0     -0.114      0.365     -6.858      6.870      0.140
  2388       111   (pi0)              -91  1948     0  2874  2875     0     0      0.031     -0.389    -12.969     12.976      0.135
  2389       211   pi+                 91  1954     0     0     0     0     0     -0.696     -0.097     -2.746      2.838      0.140
  2390      -211   pi-                 91  1954     0     0     0     0     0      0.191      0.003     -1.480      1.499      0.140
  2391       211   pi+                 91  1955     0     0     0     0     0     -0.688     -0.157     -1.647      1.797      0.140
  2392       111   (pi0)              -91  1955     0  2876  2877     0     0      0.047      0.084      0.017      0.167      0.135
  2393       211   pi+                 91  1960     0     0     0     0     0     -1.189      0.182     -0.898      1.508      0.140
  2394       111   (pi0)              -91  1960     0  2878  2879     0     0     -1.279     -0.547     -1.648      2.161      0.135
  2395      -211   pi-                 91  1962     0     0     0     0     0      0.144     -0.196     -0.400      0.488      0.140
  2396       111   (pi0)              -91  1962     0  2880  2881     0     0     -1.208     -0.823     -0.817      1.680      0.135
  2397      -211   pi-                 91  1974     0     0     0     0     0     -0.108     -0.014    -22.923     22.923      0.140
  2398       111   (pi0)              -91  1974     0  2882  2883     0     0      0.814     -0.026    -25.569     25.582      0.135
  2399       211   pi+                 91  1978     0     0     0     0     0     -0.065     -0.096     -6.638      6.641      0.140
  2400      -211   pi-                 91  1978     0     0     0     0     0      0.290      0.050     -0.798      0.862      0.140
  2401       211   pi+                 91  1979     0     0     0     0     0      0.090     -0.225     -0.073      0.289      0.140
  2402       111   (pi0)              -91  1979     0  2884  2885     0     0     -0.283      0.255     -1.719      1.765      0.135
  2403       211   pi+                 91  1995     0     0     0     0     0     -0.074      0.213      1.303      1.329      0.140
  2404      -211   pi-                 91  1995     0     0     0     0     0      0.993      0.260      5.815      5.907      0.140
  2405      -211   pi-                 91  1997     0     0     0     0     0      0.548     -0.286      1.354      1.495      0.140
  2406       111   (pi0)              -91  1997     0  2886  2887     0     0     -0.069      0.214      0.723      0.769      0.135
  2407       211   pi+                 91  2000     0     0     0     0     0      0.310     -0.213      1.700      1.747      0.140
  2408       111   (pi0)              -91  2000     0  2888  2889     0     0      0.301      0.285      0.596      0.738      0.135
  2409      -211   pi-                 91  2001     0     0     0     0     0     -0.346     -0.135      0.957      1.036      0.140
  2410       111   (pi0)              -91  2001     0  2890  2891     0     0      0.174      0.026      0.000      0.221      0.135
  2411       321   K+                  91  2003     0     0     0     0     0     -0.535     -0.128      0.309      0.801      0.494
  2412      -211   pi-                 91  2003     0     0     0     0     0      0.159      0.089      0.192      0.299      0.140
  2413       130   K_L0                91  2004  2004     0     0     0     0      0.525      0.230      0.069      0.762      0.498
  2414       211   pi+                 91  2005     0     0     0     0     0      0.360     -0.824     -2.780      2.925      0.140
  2415      -211   pi-                 91  2005     0     0     0     0     0      1.007     -0.228     -3.516      3.667      0.140
  2416       211   pi+                 91  2018     0     0     0     0     0     -0.004     -0.353      0.278      0.471      0.140
  2417       111   (pi0)              -91  2018     0  2892  2893     0     0      0.208      0.315      0.480      0.625      0.135
  2418       211   pi+                 91  2020     0     0     0     0     0     -0.298      0.179      2.251      2.282      0.140
  2419      -211   pi-                 91  2020     0     0     0     0     0      0.027      0.019     -0.114      0.183      0.140
  2420       321   K+                  91  2023     0     0     0     0     0      0.073     -0.131      9.696      9.710      0.494
  2421      -211   pi-                 91  2023     0     0     0     0     0     -0.341     -0.596      9.158      9.185      0.140
  2422       130   K_L0                91  2024  2024     0     0     0     0     -0.619     -0.214    164.494    164.496      0.498
  2423      -211   pi-                 91  2025     0     0     0     0     0      0.381      0.080     30.030     30.033      0.140
  2424       111   (pi0)              -91  2025     0  2894  2895     0     0     -0.615     -0.615     36.931     36.942      0.135
  2425       211   pi+                 91  2026     0     0     0     0     0     -0.427     -0.285     62.542     62.544      0.140
  2426       111   (pi0)              -91  2026     0  2896  2897     0     0      0.308      0.364     25.992     25.997      0.135
  2427       211   pi+                 91  2031     0     0     0     0     0     -0.206     -0.417      2.103      2.158      0.140
  2428       111   (pi0)              -91  2031     0  2898  2899     0     0     -0.005      0.304      0.414      0.532      0.135
  2429       211   pi+                 91  2034     0     0     0     0     0     -0.411     -0.094      0.966      1.063      0.140
  2430       111   (pi0)              -91  2034     0  2900  2901     0     0      0.284      0.279     -0.130      0.440      0.135
  2431       310   (K_S0)             -91  2037  2037  2902  2903     0     0     -0.482     -0.730    392.264    392.266      0.498
  2432      -311   (Kbar0)            -91  2038     0  2589  2589     0     0      0.132      0.313     68.132     68.135      0.498
  2433       111   (pi0)              -91  2038     0  2904  2905     0     0      0.399     -0.150     44.486     44.488      0.135
  2434       211   pi+                 91  2039     0     0     0     0     0      0.308      0.013      9.684      9.690      0.140
  2435      -211   pi-                 91  2039     0     0     0     0     0     -0.425     -0.099     21.457     21.462      0.140
  2436      -211   pi-                 91  2040     0     0     0     0     0      0.244      0.108      0.064      0.308      0.140
  2437       111   (pi0)              -91  2040     0  2906  2907     0     0      0.581      2.049     -0.657      2.233      0.135
  2438      -321   K-                  91  2053     0     0     0     0     0     -0.052      0.012    214.423    214.424      0.494
  2439       211   pi+                 91  2053     0     0     0     0     0     -0.190      0.415    102.073    102.074      0.140
  2440      -211   pi-                 91  2054     0     0     0     0     0     -0.140     -0.156     38.018     38.019      0.140
  2441       111   (pi0)              -91  2054     0  2908  2909     0     0     -0.395      1.403    640.596    640.597      0.135
  2442       211   pi+                 91  2055     0     0     0     0     0      0.043      0.054      7.734      7.736      0.140
  2443       111   (pi0)              -91  2055     0  2910  2911     0     0     -0.603      1.477    177.829    177.837      0.135
  2444     -2212   pbar-               91  2066     0     0     0     0     0      0.166      0.155      6.272      6.346      0.938
  2445       211   pi+                 91  2066     0     0     0     0     0     -0.020      0.246      5.206      5.214      0.140
  2446       211   pi+                 91  2067     0     0     0     0     0      0.005      1.028      9.860      9.914      0.140
  2447      -211   pi-                 91  2067     0     0     0     0     0      0.517      0.731     11.949     11.983      0.140
  2448       130   K_L0                91  2069  2069     0     0     0     0      0.603      2.320     17.308     17.480      0.498
  2449      -321   K-                  91  2070     0     0     0     0     0      0.089      0.301      2.562      2.628      0.494
  2450       111   (pi0)              -91  2070     0  2912  2913     0     0      0.414      0.533      5.780      5.821      0.135
  2451       211   pi+                 91  2071     0     0     0     0     0     -0.069      0.981      5.799      5.884      0.140
  2452       111   (pi0)              -91  2071     0  2914  2915     0     0      0.207     -0.066      2.386      2.399      0.135
  2453      -211   pi-                 91  2109     0     0     0     0     0     -3.443      2.581      0.912      4.401      0.140
  2454       111   (pi0)              -91  2109     0  2916  2917     0     0     -0.350      0.455     -0.083      0.596      0.135
  2455       310   (K_S0)             -91  2111  2111  2918  2919     0     0     -0.861      0.993      0.699      1.570      0.498
  2456       211   pi+                 91  2114     0     0     0     0     0     -0.209      1.487      0.164      1.516      0.140
  2457      -211   pi-                 91  2114     0     0     0     0     0     -0.108      0.353     -0.340      0.521      0.140
  2458       321   K+                  91  2115     0     0     0     0     0      0.009      1.524     -0.202      1.615      0.494
  2459       111   (pi0)              -91  2115     0  2920  2921     0     0      0.007      1.298      0.362      1.354      0.135
  2460       211   pi+                 91  2117     0     0     0     0     0      0.327      2.159     -0.734      2.308      0.140
  2461       111   (pi0)              -91  2117     0  2922  2923     0     0     -0.498      1.592     -0.554      1.763      0.135
  2462       311   (K0)               -91  2119     0  2590  2590     0     0      0.541      1.254     -0.574      1.563      0.498
  2463       211   pi+                 91  2119     0     0     0     0     0      0.102      0.335     -0.653      0.754      0.140
  2464      2212   p+                  91  2129     0     0     0     0     0     13.718      9.168    -20.409     26.261      0.938
  2465       211   pi+                 91  2129     0     0     0     0     0      1.195      0.781     -1.528      2.096      0.140
  2466      -211   pi-                 91  2130     0     0     0     0     0      1.014      0.523     -1.404      1.815      0.140
  2467       111   (pi0)              -91  2130     0  2924  2925     0     0      6.724      4.832     -8.390     11.789      0.135
  2468     -2112   nbar0               91  2131     0     0     0     0     0     17.846     12.208    -24.718     32.854      0.940
  2469       111   (pi0)              -91  2131     0  2926  2927     0     0      6.162      4.533     -8.344     11.320      0.135
  2470      -211   pi-                 91  2135     0     0     0     0     0      4.106      3.864     -4.551      7.248      0.140
  2471       111   (pi0)              -91  2135     0  2928  2929     0     0      0.648      0.949     -1.561      1.943      0.135
  2472       211   pi+                 91  2136     0     0     0     0     0      1.559      1.556     -1.765      2.826      0.140
  2473       111   (pi0)              -91  2136     0  2930  2931     0     0      0.568      1.099     -1.466      1.923      0.135
  2474       211   pi+                 91  2139     0     0     0     0     0      3.127      3.849     -4.597      6.763      0.140
  2475      -211   pi-                 91  2139     0     0     0     0     0      0.102      0.047     -0.186      0.258      0.140
  2476       211   pi+                 91  2140     0     0     0     0     0      0.924      1.085     -0.764      1.623      0.140
  2477       111   (pi0)              -91  2140     0  2932  2933     0     0     -0.122      0.258     -0.277      0.420      0.135
  2478       211   pi+                 91  2142     0     0     0     0     0      0.990      2.123     -1.505      2.788      0.140
  2479       111   (pi0)              -91  2142     0  2934  2935     0     0      0.205      0.019     -0.434      0.499      0.135
  2480       321   K+                  91  2143     0     0     0     0     0      0.141      1.111      0.209      1.242      0.494
  2481      -211   pi-                 91  2143     0     0     0     0     0      0.076      0.362      0.484      0.625      0.140
  2482       130   K_L0                91  2144  2144     0     0     0     0     -0.009      0.076     -0.027      0.504      0.498
  2483       211   pi+                 91  2146     0     0     0     0     0      0.058      0.387     -0.345      0.540      0.140
  2484      -211   pi-                 91  2146     0     0     0     0     0     -0.752      0.940     -2.828      3.076      0.140
  2485       211   pi+                 91  2147     0     0     0     0     0      0.035      0.630     -0.557      0.853      0.140
  2486      -211   pi-                 91  2147     0     0     0     0     0      0.710      0.978     -5.420      5.555      0.140
  2487       130   K_L0                91  2173  2173     0     0     0     0      0.072      0.323     -0.936      1.110      0.498
  2488      -211   pi-                 91  2174     0     0     0     0     0      0.425     -0.447     -1.226      1.380      0.140
  2489       111   (pi0)              -91  2174     0  2936  2937     0     0      0.229      0.252     -2.461      2.488      0.135
  2490      -311   (Kbar0)            -91  2176     0  2591  2591     0     0      0.504     -0.178     -6.495      6.536      0.498
  2491      -211   pi-                 91  2176     0     0     0     0     0      0.504     -0.320     -2.561      2.633      0.140
  2492       211   pi+                 91  2177     0     0     0     0     0      1.273     -0.192     -7.390      7.503      0.140
  2493       111   (pi0)              -91  2177     0  2938  2939     0     0      0.399     -0.547     -4.424      4.478      0.135
  2494       211   pi+                 91  2178     0     0     0     0     0      0.718      0.087     -3.351      3.431      0.140
  2495      -211   pi-                 91  2178     0     0     0     0     0      0.279     -0.507     -3.251      3.305      0.140
  2496      -211   pi-                 91  2181     0     0     0     0     0     -0.137     -0.430     -1.842      1.902      0.140
  2497       111   (pi0)              -91  2181     0  2940  2941     0     0      0.141     -0.146     -0.114      0.269      0.135
  2498     -2112   nbar0               91  2184     0     0     0     0     0      0.376     -1.906     -2.444      3.260      0.940
  2499       111   (pi0)              -91  2184     0  2942  2943     0     0     -0.065     -0.369     -0.130      0.419      0.135
  2500       321   K+                  91  2187     0     0     0     0     0      0.261     -0.051     -0.350      0.661      0.494
  2501       111   (pi0)              -91  2187     0  2944  2945     0     0      1.134      0.220     -0.795      1.408      0.135
  2502      -311   (Kbar0)            -91  2188     0  2592  2592     0     0      0.152      0.218     -0.950      1.105      0.498
  2503       111   (pi0)              -91  2188     0  2946  2947     0     0      0.471     -0.168     -1.155      1.265      0.135
  2504      -211   pi-                 91  2189     0     0     0     0     0      0.374      0.723     -1.711      1.900      0.140
  2505       111   (pi0)              -91  2189     0  2948  2949     0     0      0.805     -0.178     -1.006      1.308      0.135
  2506       211   pi+                 91  2191     0     0     0     0     0     -0.075      0.001     -0.357      0.391      0.140
  2507      -211   pi-                 91  2191     0     0     0     0     0     -0.868      0.730     -0.515      1.253      0.140
  2508      -211   pi-                 91  2192     0     0     0     0     0      0.059     -0.228      0.009      0.274      0.140
  2509       111   (pi0)              -91  2192     0  2950  2951     0     0     -0.351      0.514     -0.501      0.810      0.135
  2510       321   K+                  91  2196     0     0     0     0     0      0.115     -0.213      0.133      0.566      0.494
  2511      -211   pi-                 91  2196     0     0     0     0     0     -0.318      0.074     -0.002      0.355      0.140
  2512      -321   K-                  91  2197     0     0     0     0     0     -0.662     -1.063      0.350      1.391      0.494
  2513       211   pi+                 91  2197     0     0     0     0     0     -0.436     -0.772      0.771      1.183      0.140
  2514      -211   pi-                 91  2198     0     0     0     0     0     -0.292     -0.677      0.186      0.773      0.140
  2515       111   (pi0)              -91  2198     0  2952  2953     0     0     -1.826     -1.754      1.433      2.913      0.135
  2516      2212   p+                  91  2199     0     0     0     0     0     -6.022    -10.955      8.293     15.031      0.938
  2517       211   pi+                 91  2199     0     0     0     0     0     -0.455     -0.878      0.528      1.129      0.140
  2518       211   pi+                 91  2203     0     0     0     0     0    -10.921    -22.498     15.225     29.279      0.140
  2519      -211   pi-                 91  2203     0     0     0     0     0     -6.065    -12.010      9.121     16.255      0.140
  2520       211   pi+                 91  2207     0     0     0     0     0     -0.962     -2.422      0.968      2.784      0.140
  2521      -211   pi-                 91  2207     0     0     0     0     0     -1.844     -4.495      2.883      5.651      0.140
  2522       211   pi+                 91  2242     0     0     0     0     0     -0.799     -0.701      3.208      3.383      0.140
  2523      -211   pi-                 91  2242     0     0     0     0     0     -0.246      0.167      1.132      1.179      0.140
  2524       321   K+                  91  2246     0     0     0     0     0     -2.702     -1.177     15.948     16.226      0.494
  2525      -211   pi-                 91  2246     0     0     0     0     0     -0.314     -0.157      3.497      3.518      0.140
  2526      -311   (Kbar0)            -91  2247     0  2593  2593     0     0     -1.421     -0.899      8.119      8.306      0.498
  2527      -211   pi-                 91  2247     0     0     0     0     0     -0.579     -0.145      4.900      4.938      0.140
  2528       211   pi+                 91  2249     0     0     0     0     0      0.209     -0.574     36.689     36.694      0.140
  2529      -211   pi-                 91  2249     0     0     0     0     0     -0.223      0.311     45.306     45.308      0.140
  2530       211   pi+                 91  2250     0     0     0     0     0     -0.188     -0.350      8.261      8.272      0.140
  2531      -211   pi-                 91  2250     0     0     0     0     0     -0.151      0.311      3.537      3.556      0.140
  2532       130   K_L0                91  2256  2256     0     0     0     0     -1.767     -0.544      1.978      2.753      0.498
  2533      -311   (Kbar0)            -91  2257     0  2594  2594     0     0     -0.256     -0.530      0.018      0.771      0.498
  2534       111   (pi0)              -91  2257     0  2954  2955     0     0     -0.105     -0.069      0.373      0.416      0.135
  2535       311   (K0)               -91  2261     0  2595  2595     0     0     -0.109     -0.650     -1.477      1.692      0.498
  2536       111   (pi0)              -91  2261     0  2956  2957     0     0     -0.132      0.100     -0.086      0.230      0.135
  2537      -311   (Kbar0)            -91  2262     0  2596  2596     0     0      0.068     -0.200     -0.885      1.037      0.498
  2538       111   (pi0)              -91  2262     0  2958  2959     0     0     -0.187      0.208     -1.032      1.078      0.135
  2539       321   K+                  91  2264     0     0     0     0     0      0.270      0.448     -3.115      3.197      0.494
  2540       111   (pi0)              -91  2264     0  2960  2961     0     0      0.023     -0.194     -1.275      1.297      0.135
  2541      -311   (Kbar0)            -91  2265     0  2597  2597     0     0      0.020      0.203     -3.679      3.718      0.498
  2542      -211   pi-                 91  2265     0     0     0     0     0      0.170      0.271     -7.671      7.679      0.140
  2543       211   pi+                 91  2270     0     0     0     0     0     -0.437     -0.041     -3.031      3.066      0.140
  2544       111   (pi0)              -91  2270     0  2962  2963     0     0     -0.779      0.554     -9.780      9.828      0.135
  2545       211   pi+                 91  2271     0     0     0     0     0      0.624      0.763     -6.004      6.086      0.140
  2546      -211   pi-                 91  2271     0     0     0     0     0     -0.125      0.125     -2.476      2.487      0.140
  2547       311   (K0)               -91  2272     0  2598  2598     0     0     -0.695     -0.177     -6.454      6.512      0.498
  2548       111   (pi0)              -91  2272     0  2964  2965     0     0     -0.159     -0.130     -6.321      6.326      0.135
  2549     -2112   nbar0               91  2275     0     0     0     0     0      1.167      0.182    -55.151     55.171      0.940
  2550       211   pi+                 91  2275     0     0     0     0     0     -0.072     -0.005     -6.359      6.361      0.140
  2551       211   pi+                 91  2277     0     0     0     0     0     -0.309     -0.113     -2.955      2.976      0.140
  2552       111   (pi0)              -91  2277     0  2966  2967     0     0      0.056      0.282     -6.332      6.340      0.135
  2553       321   K+                  91  2279     0     0     0     0     0      0.015      0.058    -18.868     18.875      0.494
  2554      -211   pi-                 91  2279     0     0     0     0     0     -0.183     -0.034     -2.049      2.062      0.140
  2555      -321   K-                  91  2280     0     0     0     0     0      0.406     -0.300     -3.002      3.083      0.494
  2556       211   pi+                 91  2280     0     0     0     0     0      0.144      0.094     -0.208      0.304      0.140
  2557      -211   pi-                 91  2281     0     0     0     0     0     -0.183     -0.005     -1.594      1.610      0.140
  2558       111   (pi0)              -91  2281     0  2968  2969     0     0     -0.124     -0.001     -0.009      0.184      0.135
  2559      2112   n0                  91  2283     0     0     0     0     0     -0.371      0.368     11.161     11.213      0.940
  2560       211   pi+                 91  2283     0     0     0     0     0     -0.043     -0.034      0.684      0.700      0.140
  2561      -211   pi-                 91  2292     0     0     0     0     0     -0.290      0.155     -4.056      4.072      0.140
  2562       111   (pi0)              -91  2292     0  2970  2971     0     0      0.296      0.008     -8.389      8.396      0.135
  2563       211   pi+                 91  2295     0     0     0     0     0      0.313      0.046    -39.738     39.739      0.140
  2564       111   (pi0)              -91  2295     0  2972  2973     0     0     -0.218     -0.462    -28.388     28.393      0.135
  2565      -211   pi-                 91  2297     0     0     0     0     0     -0.208     -0.011   -138.070    138.070      0.140
  2566       111   (pi0)              -91  2297     0  2974  2975     0     0     -0.590      0.126    -35.151     35.156      0.135
  2567       211   pi+                 91  2298     0     0     0     0     0      0.249      0.021    -12.326     12.329      0.140
  2568       111   (pi0)              -91  2298     0  2976  2977     0     0     -0.717      0.288   -125.695    125.697      0.135
  2569       211   pi+                 91  2299     0     0     0     0     0      0.190     -0.375    -22.739     22.743      0.140
  2570      -211   pi-                 91  2299     0     0     0     0     0     -0.802      0.065    -26.180     26.193      0.140
  2571      -211   pi-                 91  2300     0     0     0     0     0     -0.383      0.009     -2.970      2.998      0.140
  2572       111   (pi0)              -91  2300     0  2978  2979     0     0      0.441      0.156     -2.882      2.923      0.135
  2573       211   pi+                 91  2301     0     0     0     0     0     -0.181     -0.040     -0.694      0.732      0.140
  2574      -211   pi-                 91  2301     0     0     0     0     0     -0.044      0.035     -5.944      5.946      0.140
  2575       211   pi+                 91  2302     0     0     0     0     0      0.288     -0.184     -3.837      3.854      0.140
  2576       111   (pi0)              -91  2302     0  2980  2981     0     0      0.213      0.490     -4.145      4.181      0.135
  2577       211   pi+                 91  2303     0     0     0     0     0      0.212     -0.054     -0.252      0.362      0.140
  2578      -211   pi-                 91  2303     0     0     0     0     0     -0.532     -0.253     -0.356      0.702      0.140
  2579       211   pi+                 91  2304     0     0     0     0     0      0.425      0.296      0.034      0.537      0.140
  2580      -211   pi-                 91  2304     0     0     0     0     0     -0.141     -0.034     -0.112      0.230      0.140
  2581       211   pi+                 91  2308     0     0     0     0     0      0.103     -0.461      7.034      7.051      0.140
  2582      -211   pi-                 91  2308     0     0     0     0     0     -0.284      0.196     10.534     10.540      0.140
  2583      -211   pi-                 91  2309     0     0     0     0     0      0.090      0.524    165.822    165.823      0.140
  2584       111   (pi0)              -91  2309     0  2982  2983     0     0     -0.018     -0.153    198.773    198.773      0.135
  2585       211   pi+                 91  2311     0     0     0     0     0      0.288     -0.168     34.487     34.489      0.140
  2586      -211   pi-                 91  2311     0     0     0     0     0     -0.051      0.031    132.867    132.867      0.140
  2587       310   (K_S0)             -91  2313  2313  2984  2985     0     0     -0.231      0.221    236.130    236.131      0.498
  2588       310   (K_S0)             -91  2370  2370  2986  2987     0     0     -1.018      1.025    155.398    155.406      0.498
  2589       310   (K_S0)             -91  2432  2432  2988  2989     0     0      0.132      0.313     68.132     68.135      0.498
  2590       130   K_L0                91  2462  2462     0     0     0     0      0.541      1.254     -0.574      1.563      0.498
  2591       130   K_L0                91  2490  2490     0     0     0     0      0.504     -0.178     -6.495      6.536      0.498
  2592       130   K_L0                91  2502  2502     0     0     0     0      0.152      0.218     -0.950      1.105      0.498
  2593       130   K_L0                91  2526  2526     0     0     0     0     -1.421     -0.899      8.119      8.306      0.498
  2594       130   K_L0                91  2533  2533     0     0     0     0     -0.256     -0.530      0.018      0.771      0.498
  2595       130   K_L0                91  2535  2535     0     0     0     0     -0.109     -0.650     -1.477      1.692      0.498
  2596       310   (K_S0)             -91  2537  2537  2990  2991     0     0      0.068     -0.200     -0.885      1.037      0.498
  2597       130   K_L0                91  2541  2541     0     0     0     0      0.020      0.203     -3.679      3.718      0.498
  2598       130   K_L0                91  2547  2547     0     0     0     0     -0.695     -0.177     -6.454      6.512      0.498
  2599        22   gamma               91  1752     0     0     0     0     0      0.410      0.879    324.113    324.115      0.000
  2600        22   gamma               91  1752     0     0     0     0     0      0.105      0.147     78.504     78.504      0.000
  2601       211   pi+                 91  1756     0     0     0     0     0      0.607     -0.062     -1.576      1.696      0.140
  2602      -211   pi-                 91  1756     0     0     0     0     0      0.262      0.008     -0.837      0.888      0.140
  2603       221   (eta)              -91  1756     0  2992  2993     0     0      1.384      0.288     -5.199      5.415      0.548
  2604        22   gamma               91  1763     0     0     0     0     0     -0.056      0.040      0.096      0.118      0.000
  2605        22   gamma               91  1763     0     0     0     0     0     -0.686      0.023      1.217      1.398      0.000
  2606       211   pi+                 91  1764     0     0     0     0     0     -1.015     -0.051      0.528      1.154      0.140
  2607      -211   pi-                 91  1764     0     0     0     0     0     -0.358     -0.320      0.309      0.588      0.140
  2608       111   (pi0)              -91  1764     0  2994  2995     0     0     -0.069     -0.007     -0.007      0.152      0.135
  2609       211   pi+                 91  1773     0     0     0     0     0     -0.525      0.572      2.937      3.041      0.140
  2610      -211   pi-                 91  1773     0     0     0     0     0     -0.579      0.494      3.550      3.634      0.140
  2611       111   (pi0)              -91  1773     0  2996  2997     0     0      0.038      0.275      1.491      1.522      0.135
  2612        22   gamma               91  1782     0     0     0     0     0     -0.248      0.235      0.297      0.452      0.000
  2613        22   gamma               91  1782     0     0     0     0     0     -0.017      0.120      0.116      0.168      0.000
  2614        22   gamma               91  1783     0     0     0     0     0     -0.422      0.289     -0.169      0.539      0.000
  2615        22   gamma               91  1783     0     0     0     0     0     -0.459      0.183     -0.085      0.501      0.000
  2616        22   gamma               91  1784     0     0     0     0     0      0.300      0.427     -0.214      0.564      0.000
  2617        22   gamma               91  1784     0     0     0     0     0      0.099      0.304     -0.182      0.368      0.000
  2618        22   gamma               91  1791     0     0     0     0     0      0.233      0.217    -71.825     71.826      0.000
  2619        22   gamma               91  1791     0     0     0     0     0      0.005      0.085    -13.671     13.671      0.000
  2620        22   gamma               91  1794     0     0     0     0     0     -0.207     -0.056   -407.856    407.856      0.000
  2621        22   gamma               91  1794     0     0     0     0     0     -0.140      0.061   -409.949    409.949      0.000
  2622       211   pi+                 91  1796     0     0     0     0     0     -0.052     -0.418   -649.166    649.166      0.140
  2623      -211   pi-                 91  1796     0     0     0     0     0      0.098     -0.117   -598.595    598.595      0.140
  2624       111   (pi0)              -91  1796     0  2998  2999     0     0     -0.101      0.116   -323.024    323.024      0.135
  2625       111   (pi0)              -91  1804     0  3000  3001     0     0     -2.587     -1.005    -51.963     52.038      0.135
  2626        22   gamma               91  1804     0     0     0     0     0     -7.506     -1.791   -156.838    157.028      0.000
  2627       211   pi+                 91  1805     0     0     0     0     0     -1.620     -0.800    -42.084     42.123      0.140
  2628      -211   pi-                 91  1805     0     0     0     0     0     -1.892     -0.655    -42.328     42.376      0.140
  2629       111   (pi0)              -91  1805     0  3002  3003     0     0     -0.401      0.000     -7.761      7.772      0.135
  2630        22   gamma               91  1810     0     0     0     0     0     -0.110      0.028     -0.115      0.162      0.000
  2631        22   gamma               91  1810     0     0     0     0     0     -0.867      0.111     -5.085      5.159      0.000
  2632       211   pi+                 91  1820     0     0     0     0     0      0.431      0.335    -10.664     10.678      0.140
  2633      -211   pi-                 91  1820     0     0     0     0     0      0.051     -0.058     -2.041      2.047      0.140
  2634       111   (pi0)              -91  1820     0  3004  3005     0     0      0.491      0.346     -6.238      6.269      0.135
  2635       211   pi+                 91  1824     0     0     0     0     0     -0.152     -0.819    -44.223     44.231      0.140
  2636      -211   pi-                 91  1824     0     0     0     0     0      0.023     -0.607    -33.473     33.479      0.140
  2637       111   (pi0)              -91  1824     0  3006  3007     0     0     -0.078     -0.563    -42.524     42.528      0.135
  2638       211   pi+                 91  1835     0     0     0     0     0     -0.074     -0.974      0.454      1.086      0.140
  2639      -211   pi-                 91  1835     0     0     0     0     0     -0.224     -0.794      0.739      1.117      0.140
  2640       111   (pi0)              -91  1835     0  3008  3009     0     0     -0.430     -0.743      0.387      0.952      0.135
  2641       130   K_L0                91  1838     0     0     0     0     0     -0.250     -3.458      3.892      5.236      0.498
  2642       310   (K_S0)             -91  1838     0  3010  3011     0     0     -0.307     -3.956      4.776      6.229      0.498
  2643       130   K_L0                91  1839     0     0     0     0     0     -0.516     -1.253      2.546      2.926      0.498
  2644       310   (K_S0)             -91  1839     0  3012  3013     0     0     -0.366     -1.348      2.259      2.702      0.498
  2645        22   gamma               91  1854     0     0     0     0     0     -0.021     -0.137     12.745     12.746      0.000
  2646        22   gamma               91  1854     0     0     0     0     0     -0.360     -0.740     58.040     58.046      0.000
  2647        22   gamma               91  1858     0     0     0     0     0      0.038      0.153      2.438      2.443      0.000
  2648        22   gamma               91  1858     0     0     0     0     0      0.038      0.067      3.704      3.705      0.000
  2649       111   (pi0)              -91  1859     0  3014  3015     0     0     -0.045     -0.136      6.900      6.903      0.135
  2650       111   (pi0)              -91  1859     0  3016  3017     0     0     -0.074     -0.195      6.823      6.828      0.135
  2651       111   (pi0)              -91  1859     0  3018  3019     0     0     -0.050     -0.258      3.570      3.583      0.135
  2652        22   gamma               91  1865     0     0     0     0     0      0.182      0.057      2.805      2.811      0.000
  2653        22   gamma               91  1865     0     0     0     0     0      0.951      0.639     16.632     16.671      0.000
  2654        22   gamma               91  1866     0     0     0     0     0      0.147      0.089      0.994      1.009      0.000
  2655        22   gamma               91  1866     0     0     0     0     0      1.845      0.982     15.077     15.221      0.000
  2656       111   (pi0)              -91  1868     0  3020  3021     0     0      0.128      0.053      3.785      3.790      0.135
  2657       111   (pi0)              -91  1868     0  3022  3023     0     0      0.304      0.147      3.355      3.374      0.135
  2658       111   (pi0)              -91  1868     0  3024  3025     0     0      0.213      0.269      3.550      3.569      0.135
  2659       211   pi+                 91  1891     0     0     0     0     0     -0.748      0.067     13.981     14.002      0.140
  2660      -211   pi-                 91  1891     0     0     0     0     0     -0.169      0.123      2.407      2.420      0.140
  2661       111   (pi0)              -91  1891     0  3026  3027     0     0      0.018      0.063      3.142      3.146      0.135
  2662        22   gamma               91  1892     0     0     0     0     0     -0.560     -0.296      3.111      3.175      0.000
  2663        22   gamma               91  1892     0     0     0     0     0     -0.056     -0.001      0.157      0.167      0.000
  2664        22   gamma               91  1894     0     0     0     0     0     -0.082     -0.035      3.932      3.933      0.000
  2665        22   gamma               91  1894     0     0     0     0     0      0.036     -0.098      5.997      5.998      0.000
  2666       211   pi+                 91  1896     0     0     0     0     0     -0.272      0.461     52.390     52.393      0.140
  2667      -211   pi-                 91  1896     0     0     0     0     0      0.031      0.122      5.971      5.974      0.140
  2668       111   (pi0)              -91  1896     0  3028  3029     0     0     -0.263      0.633     57.980     57.985      0.135
  2669        22   gamma               91  1897     0     0     0     0     0     -0.075     -0.031      0.335      0.345      0.000
  2670        22   gamma               91  1897     0     0     0     0     0     -0.024     -0.034      1.208      1.209      0.000
  2671       211   pi+                 91  1919     0     0     0     0     0     -0.013     -0.056      0.436      0.462      0.140
  2672      -211   pi-                 91  1919     0     0     0     0     0      0.082      0.146      0.728      0.760      0.140
  2673       221   (eta)              -91  1919     0  3030  3031     0     0      0.058      0.132      3.657      3.701      0.548
  2674       211   pi+                 91  1920     0     0     0     0     0     -0.027     -0.148      2.042      2.052      0.140
  2675      -211   pi-                 91  1920     0     0     0     0     0      0.090     -0.347      3.471      3.492      0.140
  2676       221   (eta)              -91  1920     0  3032  3034     0     0     -0.304     -0.491      9.356      9.390      0.548
  2677       211   pi+                 91  1925     0     0     0     0     0      0.141     -0.216      1.492      1.520      0.140
  2678      -211   pi-                 91  1925     0     0     0     0     0      0.082     -0.010      2.297      2.303      0.140
  2679       111   (pi0)              -91  1925     0  3035  3036     0     0      0.362     -0.888      8.320      8.376      0.135
  2680      3122   (Lambda0)          -91  1931     0  3037  3038     0     0      0.707      0.336      1.860      2.306      1.116
  2681        22   gamma               91  1931     0     0     0     0     0     -0.027     -0.006     -0.002      0.028      0.000
  2682     -2112   nbar0               91  1932     0     0     0     0     0      1.094      0.214      0.639      1.592      0.940
  2683      -211   pi-                 91  1932     0     0     0     0     0      0.040      0.181      0.108      0.256      0.140
  2684        22   gamma               91  1936     0     0     0     0     0     -0.018     -0.000     -0.072      0.074      0.000
  2685        22   gamma               91  1936     0     0     0     0     0     -0.035      0.102      0.023      0.110      0.000
  2686        22   gamma               91  1946     0     0     0     0     0      0.276      0.377    -11.405     11.415      0.000
  2687        22   gamma               91  1946     0     0     0     0     0      0.040     -0.003     -1.072      1.073      0.000
  2688       211   pi+                 91  1950     0     0     0     0     0     -0.050      0.063     -0.938      0.952      0.140
  2689      -211   pi-                 91  1950     0     0     0     0     0      0.030     -0.081     -3.029      3.034      0.140
  2690       111   (pi0)              -91  1950     0  3039  3040     0     0      0.074     -0.213    -11.320     11.323      0.135
  2691        22   gamma               91  1951     0     0     0     0     0     -0.292      0.043     -0.949      0.994      0.000
  2692        11   e-                  91  1951     0     0     0     0     0      0.028      0.032     -0.131      0.138      0.001
  2693       -11   e+                  91  1951     0     0     0     0     0      0.180      0.239     -0.934      0.980      0.001
  2694       211   pi+                 91  1952     0     0     0     0     0     -0.039     -0.156     -1.177      1.196      0.140
  2695      -211   pi-                 91  1952     0     0     0     0     0     -0.061      0.111     -1.941      1.950      0.140
  2696       111   (pi0)              -91  1952     0  3041  3042     0     0      0.237     -0.189     -3.520      3.536      0.135
  2697       211   pi+                 91  1961     0     0     0     0     0     -0.352     -0.252     -0.086      0.463      0.140
  2698      -211   pi-                 91  1961     0     0     0     0     0     -0.161      0.119     -0.009      0.244      0.140
  2699       111   (pi0)              -91  1961     0  3043  3044     0     0     -0.111     -0.157     -0.350      0.422      0.135
  2700        22   gamma               91  1963     0     0     0     0     0     -0.093     -0.436     -0.347      0.565      0.000
  2701        22   gamma               91  1963     0     0     0     0     0     -0.272     -0.706     -0.434      0.872      0.000
  2702       211   pi+                 91  1971     0     0     0     0     0     -0.158     -0.268    -18.558     18.561      0.140
  2703      -211   pi-                 91  1971     0     0     0     0     0      0.096      0.175     -6.855      6.860      0.140
  2704       111   (pi0)              -91  1971     0  3045  3046     0     0      0.012     -0.020    -14.045     14.046      0.135
  2705        22   gamma               91  1972     0     0     0     0     0      0.012     -0.094    -14.127     14.127      0.000
  2706        22   gamma               91  1972     0     0     0     0     0      0.268     -0.220    -48.389     48.390      0.000
  2707        22   gamma               91  1973     0     0     0     0     0     -0.096      0.021     -1.247      1.251      0.000
  2708        22   gamma               91  1973     0     0     0     0     0     -0.274      0.011     -7.663      7.668      0.000
  2709        22   gamma               91  1975     0     0     0     0     0     -0.347      0.049     -1.338      1.383      0.000
  2710        22   gamma               91  1975     0     0     0     0     0      0.010     -0.001     -0.014      0.018      0.000
  2711       211   pi+                 91  1981     0     0     0     0     0     -0.206      0.107     -0.180      0.325      0.140
  2712      -211   pi-                 91  1981     0     0     0     0     0      0.136      0.223     -0.079      0.307      0.140
  2713       111   (pi0)              -91  1981     0  3047  3048     0     0     -0.208     -0.069      0.055      0.263      0.135
  2714       211   pi+                 91  1996     0     0     0     0     0      0.216      0.282      3.334      3.356      0.140
  2715      -211   pi-                 91  1996     0     0     0     0     0      0.353      0.176      5.733      5.748      0.140
  2716       111   (pi0)              -91  1996     0  3049  3050     0     0      0.037      0.078      1.224      1.234      0.135
  2717       211   pi+                 91  2017     0     0     0     0     0     -0.138      0.080     -0.178      0.277      0.140
  2718      -211   pi-                 91  2017     0     0     0     0     0     -0.309     -0.114      0.119      0.377      0.140
  2719       111   (pi0)              -91  2017     0  3051  3052     0     0      0.116     -0.019      0.081      0.197      0.135
  2720      3122   (Lambda0)          -91  2021     0  3053  3054     0     0      0.260      0.322     11.172     11.235      1.116
  2721        22   gamma               91  2021     0     0     0     0     0     -0.043     -0.029      0.309      0.314      0.000
  2722     -2112   nbar0               91  2022     0     0     0     0     0      0.051     -0.122     10.210     10.254      0.940
  2723       211   pi+                 91  2022     0     0     0     0     0     -0.061      0.195      2.213      2.226      0.140
  2724        22   gamma               91  2028     0     0     0     0     0      0.003      0.136      6.612      6.613      0.000
  2725        22   gamma               91  2028     0     0     0     0     0     -0.095      0.066      3.344      3.346      0.000
  2726       211   pi+                 91  2029     0     0     0     0     0     -0.032      0.091      5.863      5.865      0.140
  2727      -211   pi-                 91  2029     0     0     0     0     0     -0.186      0.049      2.829      2.839      0.140
  2728       111   (pi0)              -91  2029     0  3055  3056     0     0     -0.080      0.248      1.440      1.469      0.135
  2729       211   pi+                 91  2030     0     0     0     0     0     -0.095     -0.008      2.948      2.953      0.140
  2730      -211   pi-                 91  2030     0     0     0     0     0      0.091     -0.088      1.928      1.937      0.140
  2731       111   (pi0)              -91  2030     0  3057  3058     0     0      0.071      0.087      1.664      1.673      0.135
  2732        22   gamma               91  2033     0     0     0     0     0      0.259     -0.063      0.092      0.282      0.000
  2733        22   gamma               91  2033     0     0     0     0     0      0.175      0.036     -0.017      0.180      0.000
  2734        22   gamma               91  2060     0     0     0     0     0      0.001     -0.009     -0.002      0.009      0.000
  2735        22   gamma               91  2060     0     0     0     0     0      0.048      0.010      0.781      0.782      0.000
  2736       211   pi+                 91  2061     0     0     0     0     0     -0.265     -0.062      4.988      4.997      0.140
  2737      -211   pi-                 91  2061     0     0     0     0     0     -0.088      0.312      5.753      5.764      0.140
  2738       111   (pi0)              -91  2061     0  3059  3060     0     0      0.102     -0.071      3.168      3.173      0.135
  2739        22   gamma               91  2065     0     0     0     0     0      0.011      0.228      4.828      4.833      0.000
  2740        22   gamma               91  2065     0     0     0     0     0      0.180      0.627     17.872     17.884      0.000
  2741       211   pi+                 91  2068     0     0     0     0     0     -0.082      0.349      2.526      2.555      0.140
  2742      -211   pi-                 91  2068     0     0     0     0     0      0.229      1.484     12.617     12.707      0.140
  2743       111   (pi0)              -91  2068     0  3061  3062     0     0      0.075      0.090      1.980      1.988      0.135
  2744       211   pi+                 91  2072     0     0     0     0     0      0.067      0.401      1.615      1.672      0.140
  2745      -211   pi-                 91  2072     0     0     0     0     0     -0.038      0.087      1.807      1.815      0.140
  2746       111   (pi0)              -91  2072     0  3063  3064     0     0      0.133      0.704      6.020      6.064      0.135
  2747        22   gamma               91  2108     0     0     0     0     0     -0.639      0.483      0.393      0.892      0.000
  2748        22   gamma               91  2108     0     0     0     0     0     -1.513      1.143      0.703      2.022      0.000
  2749      2112   n0                  91  2112     0     0     0     0     0     -0.707      2.109      0.132      2.418      0.940
  2750      -211   pi-                 91  2112     0     0     0     0     0      0.020      0.237      0.162      0.320      0.140
  2751     -3122   (Lambdabar0)       -91  2113     0  3065  3066     0     0     -0.320      2.694      0.003      2.933      1.116
  2752        22   gamma               91  2113     0     0     0     0     0     -0.087      0.302     -0.042      0.317      0.000
  2753        22   gamma               91  2122     0     0     0     0     0      0.081      0.096     -0.066      0.142      0.000
  2754        22   gamma               91  2122     0     0     0     0     0      1.440      0.950     -1.020      2.004      0.000
  2755       111   (pi0)              -91  2125     0  3067  3068     0     0      0.692      0.621     -0.988      1.364      0.135
  2756       111   (pi0)              -91  2125     0  3069  3070     0     0      1.157      0.819     -1.206      1.866      0.135
  2757       111   (pi0)              -91  2125     0  3071  3072     0     0      1.362      0.832     -1.473      2.176      0.135
  2758        22   gamma               91  2126     0     0     0     0     0      1.830      1.188     -2.010      2.966      0.000
  2759        22   gamma               91  2126     0     0     0     0     0      0.311      0.143     -0.289      0.447      0.000
  2760        22   gamma               91  2128     0     0     0     0     0      0.220      0.149     -0.302      0.402      0.000
  2761        22   gamma               91  2128     0     0     0     0     0      1.696      1.124     -1.787      2.708      0.000
  2762       211   pi+                 91  2132     0     0     0     0     0      1.345      1.349     -2.231      2.937      0.140
  2763      -211   pi-                 91  2132     0     0     0     0     0      1.257      0.817     -1.401      2.056      0.140
  2764       111   (pi0)              -91  2132     0  3073  3074     0     0      0.818      0.525     -0.799      1.265      0.135
  2765        22   gamma               91  2133     0     0     0     0     0      1.694      1.685     -2.522      3.475      0.000
  2766        22   gamma               91  2133     0     0     0     0     0      0.832      0.862     -1.402      1.844      0.000
  2767       211   pi+                 91  2134     0     0     0     0     0      0.975      1.005     -1.714      2.217      0.140
  2768      -211   pi-                 91  2134     0     0     0     0     0      1.202      0.697     -1.634      2.150      0.140
  2769       111   (pi0)              -91  2134     0  3075  3076     0     0      0.177      0.107     -0.472      0.533      0.135
  2770        22   gamma               91  2138     0     0     0     0     0      0.266      0.375     -0.246      0.522      0.000
  2771        22   gamma               91  2138     0     0     0     0     0      0.059      0.235     -0.084      0.256      0.000
  2772        22   gamma               91  2183     0     0     0     0     0      0.490     -0.938     -0.644      1.239      0.000
  2773        22   gamma               91  2183     0     0     0     0     0      0.605     -1.469     -1.064      1.912      0.000
  2774       211   pi+                 91  2185     0     0     0     0     0      0.246      0.021     -0.634      0.694      0.140
  2775      -211   pi-                 91  2185     0     0     0     0     0      0.613      0.141     -0.460      0.792      0.140
  2776       111   (pi0)              -91  2185     0  3077  3078     0     0      0.821     -0.146     -1.011      1.318      0.135
  2777        22   gamma               91  2194     0     0     0     0     0     -0.059     -0.115      0.224      0.259      0.000
  2778        22   gamma               91  2194     0     0     0     0     0      0.051     -0.178      0.178      0.257      0.000
  2779       211   pi+                 91  2195     0     0     0     0     0      0.060      0.121     -0.127      0.232      0.140
  2780      -211   pi-                 91  2195     0     0     0     0     0     -0.125      0.009      0.042      0.192      0.140
  2781       111   (pi0)              -91  2195     0  3079  3080     0     0     -0.065     -0.038     -0.037      0.159      0.135
  2782       211   pi+                 91  2204     0     0     0     0     0     -0.266     -1.112      0.551      1.277      0.140
  2783      -211   pi-                 91  2204     0     0     0     0     0     -1.232     -2.704      1.820      3.488      0.140
  2784       111   (pi0)              -91  2204     0  3081  3082     0     0     -0.268     -0.390      0.376      0.619      0.135
  2785        22   gamma               91  2206     0     0     0     0     0     -0.484     -1.347      0.677      1.583      0.000
  2786        22   gamma               91  2206     0     0     0     0     0     -0.008     -0.145      0.080      0.166      0.000
  2787       211   pi+                 91  2241     0     0     0     0     0     -0.625      0.714      4.389      4.493      0.140
  2788      -211   pi-                 91  2241     0     0     0     0     0     -0.176      0.286      0.839      0.914      0.140
  2789       111   (pi0)              -91  2241     0  3083  3084     0     0     -0.644      0.307      2.578      2.679      0.135
  2790       111   (pi0)              -91  2244     0  3085  3086     0     0     -0.259      0.015      2.472      2.489      0.135
  2791       111   (pi0)              -91  2244     0  3087  3088     0     0     -0.134      0.132      1.981      1.995      0.135
  2792       111   (pi0)              -91  2244     0  3089  3090     0     0     -0.265      0.152      1.413      1.452      0.135
  2793       111   (pi0)              -91  2248     0  3091  3092     0     0     -0.007     -0.040      3.730      3.733      0.135
  2794       111   (pi0)              -91  2248     0  3093  3094     0     0     -0.006     -0.216      5.449      5.455      0.135
  2795       111   (pi0)              -91  2248     0  3095  3096     0     0      0.136     -0.141      2.389      2.401      0.135
  2796      2112   n0                  91  2258     0     0     0     0     0     -0.632      0.064      0.886      1.439      0.940
  2797      -211   pi-                 91  2258     0     0     0     0     0     -0.403      0.184      0.452      0.648      0.140
  2798     -2112   nbar0               91  2259     0     0     0     0     0     -0.331     -0.009     -0.681      1.207      0.940
  2799       211   pi+                 91  2259     0     0     0     0     0      0.106     -0.032     -0.339      0.383      0.140
  2800        22   gamma               91  2260     0     0     0     0     0     -0.161     -0.008      0.046      0.168      0.000
  2801        22   gamma               91  2260     0     0     0     0     0     -0.006      0.029     -0.038      0.049      0.000
  2802      2112   n0                  91  2268     0     0     0     0     0      0.971     -0.442    -19.743     19.794      0.940
  2803       211   pi+                 91  2268     0     0     0     0     0      0.498     -0.294     -6.502      6.530      0.140
  2804     -2212   pbar-               91  2269     0     0     0     0     0     -0.140     -0.526     -7.672      7.749      0.938
  2805       111   (pi0)              -91  2269     0  3097  3098     0     0     -0.031      0.044     -2.745      2.749      0.135
  2806      2112   n0                  91  2273     0     0     0     0     0      1.542      0.311    -22.873     22.946      0.940
  2807      -211   pi-                 91  2273     0     0     0     0     0      0.742      0.333    -10.779     10.810      0.140
  2808       211   pi+                 91  2274     0     0     0     0     0      0.192     -0.117     -8.226      8.230      0.140
  2809      -211   pi-                 91  2274     0     0     0     0     0      0.992      0.255    -25.343     25.364      0.140
  2810       111   (pi0)              -91  2274     0  3099  3100     0     0      1.208      0.096    -27.612     27.638      0.135
  2811        22   gamma               91  2278     0     0     0     0     0     -0.003      0.012     -0.021      0.025      0.000
  2812        22   gamma               91  2278     0     0     0     0     0      0.413      0.095     -2.278      2.317      0.000
  2813       211   pi+                 91  2282     0     0     0     0     0     -0.010     -0.225      1.418      1.442      0.140
  2814      -211   pi-                 91  2282     0     0     0     0     0     -0.051      0.019      0.595      0.614      0.140
  2815       111   (pi0)              -91  2282     0  3101  3102     0     0      0.334      0.163      3.090      3.116      0.135
  2816       211   pi+                 91  2291     0     0     0     0     0      1.039     -0.324     -1.693      2.018      0.140
  2817      -211   pi-                 91  2291     0     0     0     0     0      0.977     -0.294     -1.009      1.442      0.140
  2818       111   (pi0)              -91  2291     0  3103  3104     0     0      1.677     -0.127     -2.223      2.791      0.135
  2819        22   gamma               91  2296     0     0     0     0     0     -0.001      0.279    -43.102     43.103      0.000
  2820        22   gamma               91  2296     0     0     0     0     0     -0.147      0.328    -49.968     49.970      0.000
  2821       211   pi+                 91  2307     0     0     0     0     0      0.088      0.175      6.979      6.984      0.140
  2822      -211   pi-                 91  2307     0     0     0     0     0      0.103     -0.211      3.348      3.359      0.140
  2823       111   (pi0)              -91  2307     0  3105  3106     0     0     -0.104      0.152      5.615      5.620      0.135
  2824       211   pi+                 91  2312     0     0     0     0     0      1.129      0.610    -11.676     11.747      0.140
  2825      -211   pi-                 91  2312     0     0     0     0     0      2.113      1.158    -17.364     17.531      0.140
  2826        22   gamma               91  2318     0     0     0     0     0      0.174     -0.201      0.759      0.804      0.000
  2827        22   gamma               91  2318     0     0     0     0     0      0.013      0.007      0.212      0.213      0.000
  2828        22   gamma               91  2324     0     0     0     0     0     -0.792      0.367     -0.089      0.877      0.000
  2829        22   gamma               91  2324     0     0     0     0     0     -0.198      0.074      0.043      0.216      0.000
  2830       211   pi+                 91  2325     0     0     0     0     0      0.032     -0.143    -56.063     56.063      0.140
  2831      -211   pi-                 91  2325     0     0     0     0     0     -0.474     -0.257    -95.334     95.336      0.140
  2832        22   gamma               91  2327     0     0     0     0     0     -0.222      0.007    -65.042     65.043      0.000
  2833        22   gamma               91  2327     0     0     0     0     0     -0.262     -0.143    -92.087     92.088      0.000
  2834        22   gamma               91  2329     0     0     0     0     0     -1.281     -0.321    -22.999     23.037      0.000
  2835        22   gamma               91  2329     0     0     0     0     0     -0.239     -0.063     -3.394      3.403      0.000
  2836        22   gamma               91  2334     0     0     0     0     0      0.653     -0.226     -6.506      6.542      0.000
  2837        22   gamma               91  2334     0     0     0     0     0      0.045     -0.032     -0.276      0.281      0.000
  2838        22   gamma               91  2336     0     0     0     0     0      0.606      0.160    -12.859     12.874      0.000
  2839        22   gamma               91  2336     0     0     0     0     0      0.929      0.141    -16.764     16.790      0.000
  2840        22   gamma               91  2340     0     0     0     0     0     -0.600     -1.977      1.915      2.817      0.000
  2841        22   gamma               91  2340     0     0     0     0     0     -0.165     -0.603      0.484      0.790      0.000
  2842       211   pi+                 91  2342     0     0     0     0     0     -1.474     -0.858      0.129      1.716      0.140
  2843      -211   pi-                 91  2342     0     0     0     0     0     -0.743     -0.402      0.354      0.926      0.140
  2844        22   gamma               91  2346     0     0     0     0     0     -0.384     -0.033     -0.095      0.396      0.000
  2845        22   gamma               91  2346     0     0     0     0     0     -0.141     -0.047     -0.122      0.193      0.000
  2846        22   gamma               91  2348     0     0     0     0     0     -0.543      1.989      4.401      4.860      0.000
  2847        22   gamma               91  2348     0     0     0     0     0     -0.122      0.757      1.667      1.835      0.000
  2848        22   gamma               91  2350     0     0     0     0     0     -0.614     -0.057     34.307     34.313      0.000
  2849        22   gamma               91  2350     0     0     0     0     0     -0.042     -0.004      5.296      5.296      0.000
  2850        22   gamma               91  2354     0     0     0     0     0      0.883     -0.110      7.563      7.616      0.000
  2851        22   gamma               91  2354     0     0     0     0     0      0.408      0.027      3.910      3.931      0.000
  2852       211   pi+                 91  2355     0     0     0     0     0     -0.426      0.083     12.589     12.597      0.140
  2853      -211   pi-                 91  2355     0     0     0     0     0     -0.022      0.110      1.872      1.880      0.140
  2854        22   gamma               91  2357     0     0     0     0     0     -0.075     -0.070      0.326      0.341      0.000
  2855        22   gamma               91  2357     0     0     0     0     0     -0.106      0.055      0.569      0.581      0.000
  2856        22   gamma               91  2359     0     0     0     0     0     -0.752     -0.098      0.339      0.831      0.000
  2857        22   gamma               91  2359     0     0     0     0     0     -0.032     -0.035      0.011      0.049      0.000
  2858        22   gamma               91  2365     0     0     0     0     0     -0.132      0.027      0.586      0.601      0.000
  2859        22   gamma               91  2365     0     0     0     0     0     -0.233     -0.125      0.921      0.958      0.000
  2860        22   gamma               91  2367     0     0     0     0     0     -0.450      0.276      1.068      1.192      0.000
  2861        22   gamma               91  2367     0     0     0     0     0     -0.046     -0.015      0.107      0.117      0.000
  2862        22   gamma               91  2371     0     0     0     0     0     -0.001      0.089      3.205      3.206      0.000
  2863        22   gamma               91  2371     0     0     0     0     0      0.028      0.356     26.948     26.951      0.000
  2864       211   pi+                 91  2372     0     0     0     0     0     -0.464     -0.407    130.375    130.376      0.140
  2865      -211   pi-                 91  2372     0     0     0     0     0     -0.213     -0.053     23.401     23.403      0.140
  2866        22   gamma               91  2376     0     0     0     0     0      0.095     -0.225      3.268      3.277      0.000
  2867        22   gamma               91  2376     0     0     0     0     0      0.393     -0.491      6.829      6.858      0.000
  2868        22   gamma               91  2378     0     0     0     0     0      0.129     -0.385      3.576      3.599      0.000
  2869        22   gamma               91  2378     0     0     0     0     0      0.093     -0.911      7.945      7.998      0.000
  2870        22   gamma               91  2380     0     0     0     0     0      0.410      0.656      1.472      1.663      0.000
  2871        22   gamma               91  2380     0     0     0     0     0      0.102      0.084      0.183      0.225      0.000
  2872        22   gamma               91  2386     0     0     0     0     0      0.091     -0.005     -2.471      2.473      0.000
  2873        22   gamma               91  2386     0     0     0     0     0      0.240      0.223     -8.799      8.805      0.000
  2874        22   gamma               91  2388     0     0     0     0     0     -0.001     -0.121     -6.220      6.221      0.000
  2875        22   gamma               91  2388     0     0     0     0     0      0.032     -0.268     -6.749      6.755      0.000
  2876        22   gamma               91  2392     0     0     0     0     0     -0.004     -0.022     -0.032      0.039      0.000
  2877        22   gamma               91  2392     0     0     0     0     0      0.051      0.106      0.049      0.128      0.000
  2878        22   gamma               91  2394     0     0     0     0     0     -0.360     -0.220     -0.484      0.642      0.000
  2879        22   gamma               91  2394     0     0     0     0     0     -0.919     -0.326     -1.164      1.519      0.000
  2880        22   gamma               91  2396     0     0     0     0     0     -0.010      0.005     -0.005      0.012      0.000
  2881        22   gamma               91  2396     0     0     0     0     0     -1.198     -0.828     -0.812      1.667      0.000
  2882        22   gamma               91  2398     0     0     0     0     0      0.257     -0.065     -7.418      7.423      0.000
  2883        22   gamma               91  2398     0     0     0     0     0      0.557      0.039    -18.150     18.159      0.000
  2884        22   gamma               91  2402     0     0     0     0     0     -0.229      0.262     -1.537      1.576      0.000
  2885        22   gamma               91  2402     0     0     0     0     0     -0.053     -0.007     -0.182      0.190      0.000
  2886        22   gamma               91  2406     0     0     0     0     0     -0.101      0.108      0.476      0.498      0.000
  2887        22   gamma               91  2406     0     0     0     0     0      0.032      0.106      0.247      0.270      0.000
  2888        22   gamma               91  2408     0     0     0     0     0      0.213      0.139      0.435      0.504      0.000
  2889        22   gamma               91  2408     0     0     0     0     0      0.088      0.146      0.160      0.234      0.000
  2890        22   gamma               91  2410     0     0     0     0     0      0.113      0.062      0.047      0.137      0.000
  2891        22   gamma               91  2410     0     0     0     0     0      0.061     -0.036     -0.047      0.084      0.000
  2892        22   gamma               91  2417     0     0     0     0     0      0.123      0.073      0.195      0.242      0.000
  2893        22   gamma               91  2417     0     0     0     0     0      0.084      0.242      0.285      0.383      0.000
  2894        22   gamma               91  2424     0     0     0     0     0     -0.577     -0.606     34.320     34.330      0.000
  2895        22   gamma               91  2424     0     0     0     0     0     -0.037     -0.009      2.611      2.612      0.000
  2896        22   gamma               91  2426     0     0     0     0     0     -0.008      0.016      2.247      2.247      0.000
  2897        22   gamma               91  2426     0     0     0     0     0      0.316      0.348     23.745     23.750      0.000
  2898        22   gamma               91  2428     0     0     0     0     0      0.018      0.269      0.272      0.383      0.000
  2899        22   gamma               91  2428     0     0     0     0     0     -0.023      0.035      0.142      0.148      0.000
  2900        22   gamma               91  2430     0     0     0     0     0      0.260      0.252     -0.157      0.395      0.000
  2901        22   gamma               91  2430     0     0     0     0     0      0.024      0.027      0.027      0.045      0.000
  2902       211   pi+                 91  2431     0     0     0     0     0     -0.246     -0.148    190.156    190.156      0.140
  2903      -211   pi-                 91  2431     0     0     0     0     0     -0.236     -0.581    202.108    202.109      0.140
  2904        22   gamma               91  2433     0     0     0     0     0      0.384     -0.163     39.517     39.519      0.000
  2905        22   gamma               91  2433     0     0     0     0     0      0.015      0.013      4.969      4.969      0.000
  2906        22   gamma               91  2437     0     0     0     0     0      0.403      1.543     -0.542      1.684      0.000
  2907        22   gamma               91  2437     0     0     0     0     0      0.178      0.506     -0.115      0.549      0.000
  2908        22   gamma               91  2441     0     0     0     0     0     -0.328      1.299    583.638    583.639      0.000
  2909        22   gamma               91  2441     0     0     0     0     0     -0.067      0.104     56.958     56.958      0.000
  2910        22   gamma               91  2443     0     0     0     0     0     -0.023      0.040      8.179      8.179      0.000
  2911        22   gamma               91  2443     0     0     0     0     0     -0.580      1.437    169.651    169.658      0.000
  2912        22   gamma               91  2450     0     0     0     0     0      0.052      0.021      0.312      0.318      0.000
  2913        22   gamma               91  2450     0     0     0     0     0      0.362      0.511      5.467      5.503      0.000
  2914        22   gamma               91  2452     0     0     0     0     0      0.056     -0.022      1.392      1.394      0.000
  2915        22   gamma               91  2452     0     0     0     0     0      0.151     -0.044      0.993      1.006      0.000
  2916        22   gamma               91  2454     0     0     0     0     0     -0.341      0.428     -0.108      0.558      0.000
  2917        22   gamma               91  2454     0     0     0     0     0     -0.009      0.027      0.025      0.038      0.000
  2918       211   pi+                 91  2455     0     0     0     0     0     -0.315      0.674      0.401      0.856      0.140
  2919      -211   pi-                 91  2455     0     0     0     0     0     -0.547      0.319      0.298      0.713      0.140
  2920        22   gamma               91  2459     0     0     0     0     0      0.027      0.410      0.055      0.414      0.000
  2921        22   gamma               91  2459     0     0     0     0     0     -0.020      0.888      0.307      0.940      0.000
  2922        22   gamma               91  2461     0     0     0     0     0     -0.338      0.857     -0.312      0.973      0.000
  2923        22   gamma               91  2461     0     0     0     0     0     -0.160      0.735     -0.242      0.790      0.000
  2924        22   gamma               91  2467     0     0     0     0     0      4.078      3.010     -5.152      7.227      0.000
  2925        22   gamma               91  2467     0     0     0     0     0      2.646      1.822     -3.238      4.561      0.000
  2926        22   gamma               91  2469     0     0     0     0     0      1.481      1.033     -1.919      2.635      0.000
  2927        22   gamma               91  2469     0     0     0     0     0      4.681      3.500     -6.425      8.685      0.000
  2928        22   gamma               91  2471     0     0     0     0     0      0.594      0.917     -1.451      1.816      0.000
  2929        22   gamma               91  2471     0     0     0     0     0      0.055      0.032     -0.110      0.127      0.000
  2930        22   gamma               91  2473     0     0     0     0     0      0.034      0.110     -0.089      0.146      0.000
  2931        22   gamma               91  2473     0     0     0     0     0      0.534      0.989     -1.377      1.778      0.000
  2932        22   gamma               91  2477     0     0     0     0     0     -0.007      0.171     -0.151      0.229      0.000
  2933        22   gamma               91  2477     0     0     0     0     0     -0.115      0.086     -0.126      0.191      0.000
  2934        22   gamma               91  2479     0     0     0     0     0     -0.014     -0.003     -0.085      0.086      0.000
  2935        22   gamma               91  2479     0     0     0     0     0      0.219      0.022     -0.349      0.413      0.000
  2936        22   gamma               91  2489     0     0     0     0     0      0.028     -0.015     -0.207      0.209      0.000
  2937        22   gamma               91  2489     0     0     0     0     0      0.201      0.268     -2.254      2.278      0.000
  2938        22   gamma               91  2493     0     0     0     0     0      0.096     -0.063     -0.957      0.964      0.000
  2939        22   gamma               91  2493     0     0     0     0     0      0.303     -0.484     -3.467      3.514      0.000
  2940        22   gamma               91  2497     0     0     0     0     0      0.150     -0.070     -0.060      0.176      0.000
  2941        22   gamma               91  2497     0     0     0     0     0     -0.008     -0.076     -0.054      0.093      0.000
  2942        22   gamma               91  2499     0     0     0     0     0     -0.045     -0.035      0.007      0.057      0.000
  2943        22   gamma               91  2499     0     0     0     0     0     -0.021     -0.334     -0.138      0.362      0.000
  2944        22   gamma               91  2501     0     0     0     0     0      0.376      0.030     -0.204      0.429      0.000
  2945        22   gamma               91  2501     0     0     0     0     0      0.757      0.191     -0.591      0.980      0.000
  2946        22   gamma               91  2503     0     0     0     0     0      0.434     -0.119     -1.070      1.161      0.000
  2947        22   gamma               91  2503     0     0     0     0     0      0.037     -0.049     -0.085      0.105      0.000
  2948        22   gamma               91  2505     0     0     0     0     0      0.003     -0.014     -0.033      0.036      0.000
  2949        22   gamma               91  2505     0     0     0     0     0      0.802     -0.164     -0.973      1.272      0.000
  2950        22   gamma               91  2509     0     0     0     0     0     -0.354      0.487     -0.448      0.751      0.000
  2951        22   gamma               91  2509     0     0     0     0     0      0.004      0.027     -0.053      0.060      0.000
  2952        22   gamma               91  2515     0     0     0     0     0     -1.782     -1.695      1.412      2.836      0.000
  2953        22   gamma               91  2515     0     0     0     0     0     -0.044     -0.060      0.021      0.077      0.000
  2954        22   gamma               91  2534     0     0     0     0     0     -0.125     -0.015      0.258      0.287      0.000
  2955        22   gamma               91  2534     0     0     0     0     0      0.020     -0.055      0.115      0.129      0.000
  2956        22   gamma               91  2536     0     0     0     0     0     -0.138      0.122     -0.093      0.207      0.000
  2957        22   gamma               91  2536     0     0     0     0     0      0.006     -0.022      0.007      0.024      0.000
  2958        22   gamma               91  2538     0     0     0     0     0     -0.012      0.109     -0.364      0.380      0.000
  2959        22   gamma               91  2538     0     0     0     0     0     -0.175      0.099     -0.668      0.698      0.000
  2960        22   gamma               91  2540     0     0     0     0     0      0.070     -0.125     -0.601      0.618      0.000
  2961        22   gamma               91  2540     0     0     0     0     0     -0.047     -0.070     -0.674      0.679      0.000
  2962        22   gamma               91  2544     0     0     0     0     0     -0.357      0.180     -3.784      3.805      0.000
  2963        22   gamma               91  2544     0     0     0     0     0     -0.422      0.374     -5.997      6.023      0.000
  2964        22   gamma               91  2548     0     0     0     0     0     -0.137     -0.028     -3.199      3.202      0.000
  2965        22   gamma               91  2548     0     0     0     0     0     -0.023     -0.102     -3.122      3.124      0.000
  2966        22   gamma               91  2552     0     0     0     0     0      0.064      0.279     -5.159      5.167      0.000
  2967        22   gamma               91  2552     0     0     0     0     0     -0.008      0.003     -1.173      1.173      0.000
  2968        22   gamma               91  2558     0     0     0     0     0     -0.081     -0.027     -0.066      0.108      0.000
  2969        22   gamma               91  2558     0     0     0     0     0     -0.043      0.026      0.057      0.076      0.000
  2970        22   gamma               91  2562     0     0     0     0     0      0.085     -0.055     -3.281      3.283      0.000
  2971        22   gamma               91  2562     0     0     0     0     0      0.212      0.063     -5.108      5.113      0.000
  2972        22   gamma               91  2564     0     0     0     0     0      0.008     -0.005     -0.154      0.154      0.000
  2973        22   gamma               91  2564     0     0     0     0     0     -0.226     -0.456    -28.234     28.239      0.000
  2974        22   gamma               91  2566     0     0     0     0     0     -0.244      0.118    -16.395     16.397      0.000
  2975        22   gamma               91  2566     0     0     0     0     0     -0.346      0.008    -18.756     18.760      0.000
  2976        22   gamma               91  2568     0     0     0     0     0     -0.221      0.151    -38.600     38.601      0.000
  2977        22   gamma               91  2568     0     0     0     0     0     -0.496      0.138    -87.095     87.096      0.000
  2978        22   gamma               91  2572     0     0     0     0     0      0.383      0.149     -2.178      2.216      0.000
  2979        22   gamma               91  2572     0     0     0     0     0      0.058      0.008     -0.704      0.707      0.000
  2980        22   gamma               91  2576     0     0     0     0     0      0.225      0.397     -3.518      3.547      0.000
  2981        22   gamma               91  2576     0     0     0     0     0     -0.012      0.093     -0.627      0.634      0.000
  2982        22   gamma               91  2584     0     0     0     0     0     -0.068     -0.075    135.841    135.841      0.000
  2983        22   gamma               91  2584     0     0     0     0     0      0.050     -0.078     62.932     62.932      0.000
  2984       211   pi+                 91  2587     0     0     0     0     0     -0.045      0.141     35.030     35.031      0.140
  2985      -211   pi-                 91  2587     0     0     0     0     0     -0.186      0.080    201.100    201.100      0.140
  2986       111   (pi0)              -91  2588     0  3107  3109     0     0     -0.800      0.584     90.842     90.848      0.135
  2987       111   (pi0)              -91  2588     0  3110  3111     0     0     -0.219      0.441     64.556     64.558      0.135
  2988       211   pi+                 91  2589     0     0     0     0     0      0.049      0.160     57.053     57.054      0.140
  2989      -211   pi-                 91  2589     0     0     0     0     0      0.083      0.153     11.079     11.081      0.140
  2990       211   pi+                 91  2596     0     0     0     0     0      0.115      0.087     -0.473      0.514      0.140
  2991      -211   pi-                 91  2596     0     0     0     0     0     -0.047     -0.287     -0.412      0.524      0.140
  2992        22   gamma               91  2603     0     0     0     0     0      0.142      0.198     -1.295      1.318      0.000
  2993        22   gamma               91  2603     0     0     0     0     0      1.243      0.091     -3.903      4.098      0.000
  2994        22   gamma               91  2608     0     0     0     0     0     -0.037      0.060      0.018      0.073      0.000
  2995        22   gamma               91  2608     0     0     0     0     0     -0.032     -0.068     -0.025      0.079      0.000
  2996        22   gamma               91  2611     0     0     0     0     0     -0.051      0.090      0.461      0.473      0.000
  2997        22   gamma               91  2611     0     0     0     0     0      0.088      0.185      1.029      1.049      0.000
  2998        22   gamma               91  2624     0     0     0     0     0     -0.088      0.069   -295.579    295.579      0.000
  2999        22   gamma               91  2624     0     0     0     0     0     -0.013      0.047    -27.446     27.446      0.000
  3000        22   gamma               91  2625     0     0     0     0     0     -1.037     -0.334    -20.670     20.698      0.000
  3001        22   gamma               91  2625     0     0     0     0     0     -1.550     -0.671    -31.294     31.340      0.000
  3002        22   gamma               91  2629     0     0     0     0     0     -0.237     -0.040     -3.536      3.544      0.000
  3003        22   gamma               91  2629     0     0     0     0     0     -0.164      0.040     -4.225      4.228      0.000
  3004        22   gamma               91  2634     0     0     0     0     0      0.103      0.080     -2.007      2.012      0.000
  3005        22   gamma               91  2634     0     0     0     0     0      0.388      0.266     -4.231      4.257      0.000
  3006        22   gamma               91  2637     0     0     0     0     0     -0.056     -0.167    -17.288     17.289      0.000
  3007        22   gamma               91  2637     0     0     0     0     0     -0.022     -0.396    -25.236     25.239      0.000
  3008        22   gamma               91  2640     0     0     0     0     0     -0.394     -0.590      0.343      0.788      0.000
  3009        22   gamma               91  2640     0     0     0     0     0     -0.037     -0.154      0.044      0.164      0.000
  3010       211   pi+                 91  2642     0     0     0     0     0     -0.291     -1.554      1.735      2.351      0.140
  3011      -211   pi-                 91  2642     0     0     0     0     0     -0.016     -2.402      3.040      3.877      0.140
  3012       211   pi+                 91  2644     0     0     0     0     0      0.072     -0.374      0.644      0.761      0.140
  3013      -211   pi-                 91  2644     0     0     0     0     0     -0.438     -0.974      1.615      1.942      0.140
  3014        22   gamma               91  2649     0     0     0     0     0     -0.021     -0.047      0.631      0.633      0.000
  3015        22   gamma               91  2649     0     0     0     0     0     -0.024     -0.089      6.269      6.270      0.000
  3016        22   gamma               91  2650     0     0     0     0     0     -0.091     -0.166      4.175      4.179      0.000
  3017        22   gamma               91  2650     0     0     0     0     0      0.018     -0.029      2.648      2.648      0.000
  3018        22   gamma               91  2651     0     0     0     0     0      0.013     -0.180      2.789      2.795      0.000
  3019        22   gamma               91  2651     0     0     0     0     0     -0.062     -0.078      0.782      0.788      0.000
  3020        22   gamma               91  2656     0     0     0     0     0      0.105      0.096      2.553      2.556      0.000
  3021        22   gamma               91  2656     0     0     0     0     0      0.023     -0.043      1.232      1.233      0.000
  3022        22   gamma               91  2657     0     0     0     0     0      0.215      0.162      2.708      2.722      0.000
  3023        22   gamma               91  2657     0     0     0     0     0      0.089     -0.015      0.646      0.653      0.000
  3024        22   gamma               91  2658     0     0     0     0     0      0.222      0.202      2.811      2.827      0.000
  3025        22   gamma               91  2658     0     0     0     0     0     -0.010      0.067      0.738      0.741      0.000
  3026        22   gamma               91  2661     0     0     0     0     0     -0.016     -0.023      0.180      0.182      0.000
  3027        22   gamma               91  2661     0     0     0     0     0      0.034      0.086      2.962      2.964      0.000
  3028        22   gamma               91  2668     0     0     0     0     0     -0.252      0.580     55.609     55.613      0.000
  3029        22   gamma               91  2668     0     0     0     0     0     -0.011      0.053      2.371      2.372      0.000
  3030        22   gamma               91  2673     0     0     0     0     0     -0.193      0.121      0.775      0.808      0.000
  3031        22   gamma               91  2673     0     0     0     0     0      0.251      0.011      2.882      2.893      0.000
  3032       211   pi+                 91  2676     0     0     0     0     0     -0.161     -0.105      1.715      1.732      0.140
  3033      -211   pi-                 91  2676     0     0     0     0     0     -0.026     -0.083      2.450      2.456      0.140
  3034       111   (pi0)              -91  2676     0  3112  3113     0     0     -0.116     -0.304      5.190      5.202      0.135
  3035        22   gamma               91  2679     0     0     0     0     0      0.273     -0.737      7.164      7.207      0.000
  3036        22   gamma               91  2679     0     0     0     0     0      0.088     -0.151      1.156      1.169      0.000
  3037      2212   p+                  91  2680     0     0     0     0     0      0.703      0.264      1.586      1.990      0.938
  3038      -211   pi-                 91  2680     0     0     0     0     0      0.004      0.072      0.274      0.316      0.140
  3039        22   gamma               91  2690     0     0     0     0     0      0.017     -0.024     -0.341      0.342      0.000
  3040        22   gamma               91  2690     0     0     0     0     0      0.057     -0.189    -10.979     10.981      0.000
  3041        22   gamma               91  2696     0     0     0     0     0      0.116     -0.172     -2.415      2.424      0.000
  3042        22   gamma               91  2696     0     0     0     0     0      0.120     -0.017     -1.105      1.112      0.000
  3043        22   gamma               91  2699     0     0     0     0     0     -0.134     -0.094     -0.206      0.263      0.000
  3044        22   gamma               91  2699     0     0     0     0     0      0.022     -0.063     -0.144      0.158      0.000
  3045        22   gamma               91  2704     0     0     0     0     0     -0.060     -0.009     -7.776      7.776      0.000
  3046        22   gamma               91  2704     0     0     0     0     0      0.073     -0.010     -6.269      6.269      0.000
  3047        22   gamma               91  2713     0     0     0     0     0     -0.075     -0.087      0.058      0.129      0.000
  3048        22   gamma               91  2713     0     0     0     0     0     -0.133      0.019     -0.003      0.134      0.000
  3049        22   gamma               91  2716     0     0     0     0     0     -0.018      0.029      0.957      0.958      0.000
  3050        22   gamma               91  2716     0     0     0     0     0      0.054      0.049      0.266      0.276      0.000
  3051        22   gamma               91  2719     0     0     0     0     0      0.126     -0.012      0.012      0.127      0.000
  3052        22   gamma               91  2719     0     0     0     0     0     -0.010     -0.008      0.069      0.070      0.000
  3053      2212   p+                  91  2720     0     0     0     0     0      0.226      0.363      9.217      9.275      0.938
  3054      -211   pi-                 91  2720     0     0     0     0     0      0.034     -0.041      1.954      1.960      0.140
  3055        22   gamma               91  2728     0     0     0     0     0     -0.055      0.247      1.397      1.420      0.000
  3056        22   gamma               91  2728     0     0     0     0     0     -0.025      0.000      0.043      0.049      0.000
  3057        22   gamma               91  2731     0     0     0     0     0     -0.039      0.024      0.571      0.573      0.000
  3058        22   gamma               91  2731     0     0     0     0     0      0.111      0.063      1.093      1.100      0.000
  3059        22   gamma               91  2738     0     0     0     0     0     -0.023     -0.041      0.484      0.486      0.000
  3060        22   gamma               91  2738     0     0     0     0     0      0.124     -0.031      2.684      2.687      0.000
  3061        22   gamma               91  2743     0     0     0     0     0      0.101      0.092      1.866      1.871      0.000
  3062        22   gamma               91  2743     0     0     0     0     0     -0.026     -0.002      0.114      0.117      0.000
  3063        22   gamma               91  2746     0     0     0     0     0     -0.026      0.055      0.500      0.504      0.000
  3064        22   gamma               91  2746     0     0     0     0     0      0.159      0.649      5.520      5.560      0.000
  3065     -2112   nbar0               91  2751     0     0     0     0     0     -0.321      2.538      0.030      2.725      0.940
  3066       111   (pi0)              -91  2751     0  3114  3115     0     0      0.000      0.156     -0.027      0.208      0.135
  3067        22   gamma               91  2755     0     0     0     0     0      0.357      0.405     -0.599      0.807      0.000
  3068        22   gamma               91  2755     0     0     0     0     0      0.335      0.216     -0.389      0.557      0.000
  3069        22   gamma               91  2756     0     0     0     0     0      0.636      0.522     -0.739      1.106      0.000
  3070        22   gamma               91  2756     0     0     0     0     0      0.521      0.297     -0.467      0.760      0.000
  3071        22   gamma               91  2757     0     0     0     0     0      0.253      0.218     -0.294      0.445      0.000
  3072        22   gamma               91  2757     0     0     0     0     0      1.109      0.615     -1.178      1.731      0.000
  3073        22   gamma               91  2764     0     0     0     0     0      0.026     -0.001     -0.045      0.052      0.000
  3074        22   gamma               91  2764     0     0     0     0     0      0.792      0.526     -0.754      1.213      0.000
  3075        22   gamma               91  2769     0     0     0     0     0      0.018     -0.006      0.003      0.019      0.000
  3076        22   gamma               91  2769     0     0     0     0     0      0.159      0.113     -0.475      0.513      0.000
  3077        22   gamma               91  2776     0     0     0     0     0      0.251     -0.076     -0.235      0.352      0.000
  3078        22   gamma               91  2776     0     0     0     0     0      0.570     -0.070     -0.776      0.966      0.000
  3079        22   gamma               91  2781     0     0     0     0     0     -0.068     -0.068      0.017      0.098      0.000
  3080        22   gamma               91  2781     0     0     0     0     0      0.003      0.030     -0.054      0.061      0.000
  3081        22   gamma               91  2784     0     0     0     0     0     -0.089     -0.210      0.240      0.331      0.000
  3082        22   gamma               91  2784     0     0     0     0     0     -0.179     -0.180      0.135      0.288      0.000
  3083        22   gamma               91  2789     0     0     0     0     0     -0.209      0.168      1.027      1.061      0.000
  3084        22   gamma               91  2789     0     0     0     0     0     -0.435      0.138      1.551      1.617      0.000
  3085        22   gamma               91  2790     0     0     0     0     0     -0.170     -0.021      2.012      2.019      0.000
  3086        22   gamma               91  2790     0     0     0     0     0     -0.090      0.036      0.460      0.470      0.000
  3087        22   gamma               91  2791     0     0     0     0     0     -0.128      0.135      1.979      1.987      0.000
  3088        22   gamma               91  2791     0     0     0     0     0     -0.006     -0.003      0.003      0.007      0.000
  3089        22   gamma               91  2792     0     0     0     0     0     -0.055      0.005      0.101      0.115      0.000
  3090        22   gamma               91  2792     0     0     0     0     0     -0.210      0.147      1.312      1.337      0.000
  3091        22   gamma               91  2793     0     0     0     0     0      0.013     -0.080      3.111      3.112      0.000
  3092        22   gamma               91  2793     0     0     0     0     0     -0.021      0.040      0.619      0.621      0.000
  3093        22   gamma               91  2794     0     0     0     0     0     -0.031     -0.208      5.238      5.242      0.000
  3094        22   gamma               91  2794     0     0     0     0     0      0.026     -0.008      0.211      0.213      0.000
  3095        22   gamma               91  2795     0     0     0     0     0      0.079     -0.123      1.010      1.020      0.000
  3096        22   gamma               91  2795     0     0     0     0     0      0.056     -0.018      1.379      1.381      0.000
  3097        22   gamma               91  2805     0     0     0     0     0      0.041      0.010     -0.349      0.351      0.000
  3098        22   gamma               91  2805     0     0     0     0     0     -0.072      0.034     -2.397      2.398      0.000
  3099        22   gamma               91  2810     0     0     0     0     0      1.146      0.097    -25.377     25.403      0.000
  3100        22   gamma               91  2810     0     0     0     0     0      0.062     -0.002     -2.234      2.235      0.000
  3101        22   gamma               91  2815     0     0     0     0     0      0.044      0.069      0.955      0.959      0.000
  3102        22   gamma               91  2815     0     0     0     0     0      0.291      0.094      2.135      2.157      0.000
  3103        22   gamma               91  2818     0     0     0     0     0      0.157      0.024     -0.183      0.242      0.000
  3104        22   gamma               91  2818     0     0     0     0     0      1.520     -0.150     -2.040      2.549      0.000
  3105        22   gamma               91  2823     0     0     0     0     0     -0.068      0.040      0.991      0.994      0.000
  3106        22   gamma               91  2823     0     0     0     0     0     -0.036      0.112      4.624      4.626      0.000
  3107        22   gamma               91  2986     0     0     0     0     0     -0.076      0.110     13.170     13.171      0.000
  3108        11   e-                  91  2986     0     0     0     0     0     -0.548      0.357     58.663     58.666      0.001
  3109       -11   e+                  91  2986     0     0     0     0     0     -0.176      0.117     19.009     19.010      0.001
  3110        22   gamma               91  2987     0     0     0     0     0     -0.016      0.003      6.170      6.170      0.000
  3111        22   gamma               91  2987     0     0     0     0     0     -0.203      0.438     58.386     58.388      0.000
  3112        22   gamma               91  3034     0     0     0     0     0      0.017     -0.001      0.509      0.510      0.000
  3113        22   gamma               91  3034     0     0     0     0     0     -0.133     -0.303      4.681      4.693      0.000
  3114        22   gamma               91  3066     0     0     0     0     0      0.068      0.077     -0.014      0.103      0.000
  3115        22   gamma               91  3066     0     0     0     0     0     -0.067      0.079     -0.012      0.105      0.000
                                   Charge sum:  2.000           Momentum sum:     -0.000      0.000      0.000  14000.000  14000.000

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------

 --------  PYTHIA Event Listing  (filtered)  ---------------------------------------------------------------------------------------
 
    no        id   name            status     mothers   daughters     colours      p_x        p_y        p_z         e          m 
  1774      -211   pi-                 84  1766  1771     0     0     0     0     -1.241      0.598      1.962      2.401      0.140
  1785      -211   pi-                 84  1777  1781     0     0     0     0     -3.617      2.123      0.759      4.264      0.140
  1918       211   pi+                 83  1900  1916     0     0     0     0      0.484     -0.905      5.625      5.720      0.140
  1924     -2212   pbar-               83  1900  1916     0     0     0     0      0.430     -1.133      9.604      9.726      0.938
  1957     -2212   pbar-               84  1937  1944     0     0     0     0     -1.442     -1.062     -1.735      2.664      0.938
  1958       211   pi+                 84  1937  1944     0     0     0     0     -1.469     -0.074     -1.315      1.978      0.140
  1994       211   pi+                 83  1982  1992     0     0     0     0      1.777      3.242     36.357     36.544      0.140
  1999      -211   pi-                 84  1982  1992     0     0     0     0      1.236      0.963      2.928      3.324      0.140
  2002       211   pi+                 84  1982  1992     0     0     0     0      1.700     -0.000      2.723      3.213      0.140
  2110       321   K+                  83  2074  2107     0     0     0     0     -3.297      2.798      0.727      4.413      0.494
  2116      -321   K-                  83  2074  2107     0     0     0     0      0.547      1.900     -0.249      2.053      0.494
  2120      -321   K-                  83  2074  2107     0     0     0     0     -0.019      1.077     -0.485      1.280      0.494
  2121       211   pi+                 83  2074  2107     0     0     0     0     -0.363      1.647     -1.044      1.988      0.140
  2127      -211   pi-                 84  2074  2107     0     0     0     0      7.480      4.987     -9.940     13.404      0.140
  2141      -211   pi-                 84  2074  2107     0     0     0     0      0.980      1.513     -0.855      2.000      0.140
  2175       321   K+                  83  2150  2172     0     0     0     0     -0.073      1.090     -2.815      3.060      0.494
  2182      2212   p+                  83  2150  2172     0     0     0     0      0.447     -0.916     -1.877      2.333      0.938
  2193       211   pi+                 83  2150  2172     0     0     0     0     -2.043      0.764     -1.493      2.647      0.140
  2200      -211   pi-                 84  2150  2172     0     0     0     0     -1.774     -4.053      2.647      5.158      0.140
  2201     -2212   pbar-               84  2150  2172     0     0     0     0     -8.616    -16.252     12.018     21.992      0.938
  2202       211   pi+                 84  2150  2172     0     0     0     0     -3.552     -6.057      4.109      8.137      0.140
  2205      -211   pi-                 84  2150  2172     0     0     0     0     -2.037     -4.680      2.647      5.752      0.140
  2315       321   K+                  91  1758     0     0     0     0     0      1.448      0.909    -10.404     10.555      0.494
  2319       211   pi+                 91  1772     0     0     0     0     0     -0.986      0.741      4.617      4.781      0.140
  2320      -211   pi-                 91  1772     0     0     0     0     0     -0.461      1.354      4.166      4.407      0.140
  2321       211   pi+                 91  1776     0     0     0     0     0     -1.112      0.940      3.378      3.681      0.140
  2323       211   pi+                 91  1786     0     0     0     0     0     -3.612      3.167     -0.271      4.813      0.140
  2339       211   pi+                 91  1836     0     0     0     0     0     -0.836     -1.755      1.199      2.288      0.140
  2362       211   pi+                 91  1888     0     0     0     0     0     -1.047      0.330      4.484      4.618      0.140
  2364       211   pi+                 91  1889     0     0     0     0     0     -0.536     -1.163     11.169     11.243      0.140
  2374      -211   pi-                 91  1917     0     0     0     0     0      1.471     -0.134      7.863      8.002      0.140
  2393       211   pi+                 91  1960     0     0     0     0     0     -1.189      0.182     -0.898      1.508      0.140
  2404      -211   pi-                 91  1995     0     0     0     0     0      0.993      0.260      5.815      5.907      0.140
  2415      -211   pi-                 91  2005     0     0     0     0     0      1.007     -0.228     -3.516      3.667      0.140
  2446       211   pi+                 91  2067     0     0     0     0     0      0.005      1.028      9.860      9.914      0.140
  2453      -211   pi-                 91  2109     0     0     0     0     0     -3.443      2.581      0.912      4.401      0.140
  2456       211   pi+                 91  2114     0     0     0     0     0     -0.209      1.487      0.164      1.516      0.140
  2458       321   K+                  91  2115     0     0     0     0     0      0.009      1.524     -0.202      1.615      0.494
  2460       211   pi+                 91  2117     0     0     0     0     0      0.327      2.159     -0.734      2.308      0.140
  2464      2212   p+                  91  2129     0     0     0     0     0     13.718      9.168    -20.409     26.261      0.938
  2465       211   pi+                 91  2129     0     0     0     0     0      1.195      0.781     -1.528      2.096      0.140
  2466      -211   pi-                 91  2130     0     0     0     0     0      1.014      0.523     -1.404      1.815      0.140
  2470      -211   pi-                 91  2135     0     0     0     0     0      4.106      3.864     -4.551      7.248      0.140
  2472       211   pi+                 91  2136     0     0     0     0     0      1.559      1.556     -1.765      2.826      0.140
  2474       211   pi+                 91  2139     0     0     0     0     0      3.127      3.849     -4.597      6.763      0.140
  2476       211   pi+                 91  2140     0     0     0     0     0      0.924      1.085     -0.764      1.623      0.140
  2478       211   pi+                 91  2142     0     0     0     0     0      0.990      2.123     -1.505      2.788      0.140
  2480       321   K+                  91  2143     0     0     0     0     0      0.141      1.111      0.209      1.242      0.494
  2484      -211   pi-                 91  2146     0     0     0     0     0     -0.752      0.940     -2.828      3.076      0.140
  2486      -211   pi-                 91  2147     0     0     0     0     0      0.710      0.978     -5.420      5.555      0.140
  2492       211   pi+                 91  2177     0     0     0     0     0      1.273     -0.192     -7.390      7.503      0.140
  2507      -211   pi-                 91  2191     0     0     0     0     0     -0.868      0.730     -0.515      1.253      0.140
  2512      -321   K-                  91  2197     0     0     0     0     0     -0.662     -1.063      0.350      1.391      0.494
  2516      2212   p+                  91  2199     0     0     0     0     0     -6.022    -10.955      8.293     15.031      0.938
  2518       211   pi+                 91  2203     0     0     0     0     0    -10.921    -22.498     15.225     29.279      0.140
  2519      -211   pi-                 91  2203     0     0     0     0     0     -6.065    -12.010      9.121     16.255      0.140
  2520       211   pi+                 91  2207     0     0     0     0     0     -0.962     -2.422      0.968      2.784      0.140
  2521      -211   pi-                 91  2207     0     0     0     0     0     -1.844     -4.495      2.883      5.651      0.140
  2522       211   pi+                 91  2242     0     0     0     0     0     -0.799     -0.701      3.208      3.383      0.140
  2524       321   K+                  91  2246     0     0     0     0     0     -2.702     -1.177     15.948     16.226      0.494
  2606       211   pi+                 91  1764     0     0     0     0     0     -1.015     -0.051      0.528      1.154      0.140
  2742      -211   pi-                 91  2068     0     0     0     0     0      0.229      1.484     12.617     12.707      0.140
  2762       211   pi+                 91  2132     0     0     0     0     0      1.345      1.349     -2.231      2.937      0.140
  2763      -211   pi-                 91  2132     0     0     0     0     0      1.257      0.817     -1.401      2.056      0.140
  2767       211   pi+                 91  2134     0     0     0     0     0      0.975      1.005     -1.714      2.217      0.140
  2768      -211   pi-                 91  2134     0     0     0     0     0      1.202      0.697     -1.634      2.150      0.140
  2782       211   pi+                 91  2204     0     0     0     0     0     -0.266     -1.112      0.551      1.277      0.140
  2783      -211   pi-                 91  2204     0     0     0     0     0     -1.232     -2.704      1.820      3.488      0.140
  2816       211   pi+                 91  2291     0     0     0     0     0      1.039     -0.324     -1.693      2.018      0.140
  2817      -211   pi-                 91  2291     0     0     0     0     0      0.977     -0.294     -1.009      1.442      0.140
  2824       211   pi+                 91  2312     0     0     0     0     0      1.129      0.610    -11.676     11.747      0.140
  2825      -211   pi-                 91  2312     0     0     0     0     0      2.113      1.158    -17.364     17.531      0.140
  2842       211   pi+                 91  2342     0     0     0     0     0     -1.474     -0.858      0.129      1.716      0.140
  3010       211   pi+                 91  2642     0     0     0     0     0     -0.291     -1.554      1.735      2.351      0.140
  3011      -211   pi-                 91  2642     0     0     0     0     0     -0.016     -2.402      3.040      3.877      0.140
  3013      -211   pi-                 91  2644     0     0     0     0     0     -0.438     -0.974      1.615      1.942      0.140

 --------  End PYTHIA Event Listing  -----------------------------------------------------------------------------------------------
 PYTHIA Warning in SpaceShower::pT2nextQCD: weight above unity  
 PYTHIA Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame  

 *-------  PYTHIA Event and Cross Section Statistics  -------------------------------------------------------------*
 |                                                                                                                 |
 | Subprocess                                    Code |            Number of events       |      sigma +- delta    |
 |                                                    |       Tried   Selected   Accepted |     (estimated) (mb)   |
 |                                                    |                                   |                        |
 |-----------------------------------------------------------------------------------------------------------------|
 |                                                    |                                   |                        |
 | g g -> g g                                     111 |         320         37         37 |   7.072e-04  5.376e-05 |
 | g g -> q qbar (uds)                            112 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q g -> q g                                     113 |         463         51         51 |   6.500e-04  5.345e-05 |
 | q q(bar)' -> q q(bar)'                         114 |          73         12         12 |   9.137e-05  1.667e-05 |
 | q qbar -> g g                                  115 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> q' qbar' (uds)                       116 |           2          0          0 |   0.000e+00  0.000e+00 |
 | g g -> c cbar                                  121 |           0          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> c cbar                               122 |           0          0          0 |   0.000e+00  0.000e+00 |
 | g g -> b bbar                                  123 |           1          0          0 |   0.000e+00  0.000e+00 |
 | q qbar -> b bbar                               124 |           0          0          0 |   0.000e+00  0.000e+00 |
 |                                                    |                                   |                        |
 | sum                                                |         860        100        100 |   1.449e-03  7.762e-05 |
 |                                                                                                                 |
 *-------  End PYTHIA Event and Cross Section Statistics ----------------------------------------------------------*

 *-------  PYTHIA Error and Warning Messages Statistics  ----------------------------------------------------------* 
 |                                                                                                                 | 
 |  times   message                                                                                                | 
 |                                                                                                                 | 
 |      1   Warning in SpaceShower::pT2nextQCD: weight above unity                                                 | 
 |      1   Warning in StringFragmentation::fragmentToJunction: bad convergence junction rest frame                | 
 |                                                                                                                 | 
 *-------  End PYTHIA Error and Warning Messages Statistics  ------------------------------------------------------* 


  2013-09-20 16:05       selected charged multiplicity

        8.10*10^ 0                     7                                                                                
        7.80*10^ 0                     X                                                                                
        7.50*10^ 0                     X                                                                                
        7.20*10^ 0                     X                                                                                
        6.90*10^ 0                     X                                                                                
        6.60*10^ 0                     X                                                                                
        6.30*10^ 0                     X                                                                                
        6.00*10^ 0                   X X    X                                                                           
        5.70*10^ 0                   X X    X                                                                           
        5.40*10^ 0                   X X    X                                                                           
        5.10*10^ 0                   X X7  7X       7                                                                   
        4.80*10^ 0                   X XX  XX       X                                                                   
        4.50*10^ 0                   X XX  XX       X                                                                   
        4.20*10^ 0                  3X XX 3XX3  33  X33                                                                 
        3.90*10^ 0                  XX XX XXXX  XX  XXX                                                                 
        3.60*10^ 0                  XX XX XXXX  XX  XXX                                                                 
        3.30*10^ 0                  XX XX XXXX  XX  XXX                                                                 
        3.00*10^ 0                  XX XXXXXXX XXXXXXXXX  X                                                             
        2.70*10^ 0                  XX XXXXXXX XXXXXXXXX  X                                                             
        2.40*10^ 0                  XX XXXXXXX XXXXXXXXX  X                                                             
        2.10*10^ 0             7 77 XX XXXXXXX XXXXXXXXX  X                                                             
        1.80*10^ 0             X XX XX XXXXXXX XXXXXXXXX  X                                                             
        1.50*10^ 0             X XX XX XXXXXXX XXXXXXXXX  X                                                             
        1.20*10^ 0      3 33 33X XX3XX XXXXXXX3XXXXXXXXX33X 3 33 3                                                      
        0.90*10^ 0      X XX XXX XXXXX XXXXXXXXXXXXXXXXXXXX X XX X                                                      
        0.60*10^ 0      X XX XXX XXXXX XXXXXXXXXXXXXXXXXXXX X XX X                                                      
        0.30*10^ 0      X XX XXX XXXXX XXXXXXXXXXXXXXXXXXXX X XX X                                                      

          Contents                                                                                                      
            *10^ 0  0000101101120221460853456413443354431130101101000000000000000000000000000000000000000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^-3  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  -                                                                                                   
            *10^ 2  0000000000000000000000000000000000000000000000000011111111111111111111111111111111111111111111111111
            *10^ 1  0000011111222223333344444555556666677777888889999900000111112222233333444445555566666777778888899999
            *10^ 0  1246802468024680246802468024680246802468024680246802468024680246802468024680246802468024680246802468

   Entries  =         100    Mean =  4.9760e+01    Underflow =  0.0000e+00    Low edge  = -5.0000e-01
   All chan =  1.0000e+02    Rms  =  1.7061e+01    Overflow  =  0.0000e+00    High edge =  1.9950e+02


  2013-09-20 16:05       selected charged eta distribution

        1.50*10^ 2                                                          4                                           
        1.45*10^ 2                                                          X                                           
        1.40*10^ 2                                                          X                                           
        1.35*10^ 2                                                          X                                           
        1.30*10^ 2                                                         6X  2                                        
        1.25*10^ 2                                                         XX  X2                                       
        1.20*10^ 2                                            8            XX8 XX8                                      
        1.15*10^ 2                                            X  4         XXX2XXX                                      
        1.10*10^ 2                                       68   X 2X        6XXXXXXX                                      
        1.05*10^ 2                                       XX44 X XX6     4 XXXXXXXX                                      
        1.00*10^ 2                                       XXXX X XXX    XX XXXXXXXX                                      
        0.95*10^ 2                               6       XXXX8X XXX8   XX XXXXXXXX                                      
        0.90*10^ 2                               X4      XXXXXX8XXXX   XXXXXXXXXXX 4                                    
        0.85*10^ 2                               XX   8 4XXXXXXXXXXX8 4XXXXXXXXXXX X     6    2                         
        0.80*10^ 2                               XX 24X4XXXXXXXXXXXXX XXXXXXXXXXXX X     X   2X                         
        0.75*10^ 2                            4 4XX XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX X46488X   XX                         
        0.70*10^ 2                            X XXX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXX2XXXXXXX   XX                         
        0.65*10^ 2                           6X XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX 6XXX                         
        0.60*10^ 2                           XX6XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX  2                      
        0.55*10^ 2                      6   8XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX62X 4                    
        0.50*10^ 2                      X   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX4X                    
        0.45*10^ 2                      X   XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.40*10^ 2                      X66 XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.35*10^ 2                      XXX4XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.30*10^ 2                      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.25*10^ 2                      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.20*10^ 2                      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.15*10^ 2                      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.10*10^ 2                      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    
        0.05*10^ 2                      XXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXXX                    

          Contents                                                                                                      
            *10^ 2  0000000000000000000000000000000000000111101011100001101111111100000000000000000000000000000000000000
            *10^ 1  0000000000000000000053335675798677878000091801098780090241122168777778666785554500000000000000000000
            *10^ 0  0000000000000000000038824328237767472892249962344520208879161967232443035613167200000000000000000000
            *10^-1  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

          Low edge  --------------------------------------------------                                                  
            *10^ 0  5444444444433333333332222222222111111111100000000000000000001111111111222222222233333333334444444444
            *10^-1  0987654321098765432109876543210987654321098765432101234567890123456789012345678901234567890123456789
            *10^-2  0000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000

   Entries  =        4978    Mean =  2.8626e-02    Underflow =  0.0000e+00    Low edge  = -5.0000e+00
   All chan =  4.9780e+03    Rms  =  1.5341e+00    Overflow  =  0.0000e+00    High edge =  5.0000e+00


  2013-09-20 16:05       selected charged pT distribution

        1.62*10^ 3    4                                                                                                 
        1.56*10^ 3    X                                                                                                 
        1.50*10^ 3    X                                                                                                 
        1.44*10^ 3    X                                                                                                 
        1.38*10^ 3    X                                                                                                 
        1.32*10^ 3    X                                                                                                 
        1.26*10^ 3    X                                                                                                 
        1.20*10^ 3    X                                                                                                 
        1.14*10^ 3    X                                                                                                 
        1.08*10^ 3    X                                                                                                 
        1.02*10^ 3    X                                                                                                 
        0.96*10^ 3    X                                                                                                 
        0.90*10^ 3    X                                                                                                 
        0.84*10^ 3    X3                                                                                                
        0.78*10^ 3    XX                                                                                                
        0.72*10^ 3    XX                                                                                                
        0.66*10^ 3    XX                                                                                                
        0.60*10^ 3    XX                                                                                                
        0.54*10^ 3    XX4                                                                                               
        0.48*10^ 3    XXX                                                                                               
        0.42*10^ 3    XXX2                                                                                              
        0.36*10^ 3    XXXX                                                                                              
        0.30*10^ 3    XXXX5                                                                                             
        0.24*10^ 3    XXXXX                                                                                             
        0.18*10^ 3    XXXXXX85                                                                                          
        0.12*10^ 3    XXXXXXXX6721                                                                                      
        0.06*10^ 3    XXXXXXXXXXXX9885654323342332122112111111111 1 11  1 1    1    11 1          1                     

          Contents                                                                                                      
            *10^ 3  0010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 2  0057532111010000000000000000000000000000000000000000000000000000000000000000000000000000000000000000
            *10^ 1  0089067765907654423322111211110110010000000000000000000000000000000000000000000000000000000000000000
            *10^ 0  0056692991542435796120168626537026536745853552525322426011240121451321112022113002022000101001100021

          Low edge                                                                                                      
            *10^ 1  0000000000000000000011111111111111111111222222222222222222223333333333333333333344444444444444444444
            *10^ 0  0011223344556677889900112233445566778899001122334455667788990011223344556677889900112233445566778899
            *10^-1  0505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505050505

   Entries  =        4978    Mean =  3.8763e+00    Underflow =  0.0000e+00    Low edge  =  0.0000e+00
   All chan =  4.9600e+03    Rms  =  5.1252e+00    Overflow  =  1.8000e+01    High edge =  5.0000e+01
pythia8-8.1.86.orig/examples/main04.cc0000644000175000017500000002026012357054675015572 0ustar  sunsun// main04.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how to generate and study "total cross section" processes,
// i.e. elastic, single and double diffractive, and the "minimum-bias" rest.
// All input is specified in the main06.cmnd file.
// Note that the "total" cross section does NOT include
// the Coulomb contribution to elastic scattering, as switched on here.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

//==========================================================================

int main() {

  // Generator. Shorthand for the event.
  Pythia pythia;
  Event& event = pythia.event;

  // Read in commands from external file.
  pythia.readFile("main04.cmnd");

  // Extract settings to be used in the main program.
  int    nEvent    = pythia.mode("Main:numberOfEvents");
  int    nAbort    = pythia.mode("Main:timesAllowErrors");
 
  // Initialize.
  pythia.init();

  // Book histograms: multiplicities and mean transverse momenta.
  Hist yChg("rapidity of charged particles; all",      100, -10., 10.);
  Hist nChg("number of charged particles; all",        100, -0.5, 799.5);
  Hist nChgSD("number of charged particles; single diffraction",
                                                       100, -0.5, 799.5);
  Hist nChgDD("number of charged particles, double diffractive",
                                                       100, -0.5, 799.5);
  Hist nChgCD("number of charged particles, central diffractive",
                                                       100, -0.5, 799.5);
  Hist nChgND("number of charged particles, non-diffractive",
                                                       100, -0.5, 799.5);
  Hist pTnChg("(n_charged) all",                   100, -0.5, 799.5);
  Hist pTnChgSD("(n_charged) single diffraction",  100, -0.5, 799.5);
  Hist pTnChgDD("(n_charged) double diffraction",  100, -0.5, 799.5);
  Hist pTnChgCD("(n_charged) central diffraction", 100, -0.5, 799.5);
  Hist pTnChgND("(n_charged) non-diffractive   ",  100, -0.5, 799.5);

  // Book histograms: ditto as function of separate subsystem mass.
  Hist mLogInel("log10(mass), by diffractive system",  100, 0., 5.);
  Hist nChgmLog("(log10(mass))",            100, 0., 5.);
  Hist pTmLog("_charged>(log10(mass))",            100, 0., 5.);

  // Book histograms: elastic/diffractive.
  Hist tSpecEl("elastic |t| spectrum",              100, 0., 1.);
  Hist tSpecElLog("elastic log10(|t|) spectrum",    100, -5., 0.);
  Hist tSpecSD("single diffractive |t| spectrum",   100, 0., 2.);
  Hist tSpecDD("double diffractive |t| spectrum",   100, 0., 5.);
  Hist tSpecCD("central diffractive |t| spectrum",  100, 0., 5.);
  Hist mSpec("diffractive mass spectrum",           100, 0., 100.);
  Hist mLogSpec("log10(diffractive mass spectrum)", 100, 0., 4.);

  // Book histograms: inelastic nondiffractive.
  double pTmax = 20.;
  double bMax  = 4.;
  Hist pTspec("total pT_hard spectrum",             100, 0., pTmax);
  Hist pTspecND("nondiffractive pT_hard spectrum",  100, 0., pTmax);
  Hist bSpec("b impact parameter spectrum",         100, 0., bMax);
  Hist enhanceSpec("b enhancement spectrum",        100, 0., 10.);
  Hist number("number of interactions",             100, -0.5, 99.5);
  Hist pTb1("pT spectrum for b < 0.5",              100, 0., pTmax);
  Hist pTb2("pT spectrum for 0.5 < b < 1",          100, 0., pTmax);
  Hist pTb3("pT spectrum for 1 < b < 1.5",          100, 0., pTmax);
  Hist pTb4("pT spectrum for 1.5 < b",              100, 0., pTmax);
  Hist bpT1("b spectrum for pT < 2",                100, 0., bMax);
  Hist bpT2("b spectrum for 2 < pT < 5",            100, 0., bMax);
  Hist bpT3("b spectrum for 5 < pT < 15",           100, 0., bMax);
  Hist bpT4("b spectrum for 15 < pT",               100, 0., bMax);
 
  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if too many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Extract event classification.
    int code = pythia.info.code();
    
    // Charged multiplicity and mean pT: all and by event class.
    int nch = 0;
    double pTsum = 0.;
    for (int i = 1; i < event.size(); ++i)
    if (event[i].isFinal() && event[i].isCharged()) {
      yChg.fill( event[i].y() );
      ++nch;
      pTsum += event[i].pT();
    }
    nChg.fill( nch );
    if (nch > 0) pTnChg.fill( nch, pTsum/nch);
    if (code == 103 || code == 104) {
      nChgSD.fill( nch );
      if (nch > 0) pTnChgSD.fill( nch, pTsum/nch);
    } else if (code == 105) {
      nChgDD.fill( nch );
      if (nch > 0) pTnChgDD.fill( nch, pTsum/nch);
    } else if (code == 106) {
      nChgCD.fill( nch );
      if (nch > 0) pTnChgCD.fill( nch, pTsum/nch);
    } else if (code == 101) {
      nChgND.fill( nch );
      if (nch > 0) pTnChgND.fill( nch, pTsum/nch);
      double mLog = log10( event[0].m() );
      mLogInel.fill( mLog );
      nChgmLog.fill( mLog, nch );
      if (nch > 0) pTmLog.fill( mLog, pTsum / nch );
    }

    // Charged multiplicity and mean pT: per diffractive system.
    for (int iDiff = 0; iDiff < 3; ++iDiff)
    if ( (iDiff == 0 && pythia.info.isDiffractiveA())
      || (iDiff == 1 && pythia.info.isDiffractiveB())
      || (iDiff == 2 && pythia.info.isDiffractiveC()) ) {
      int ndiff = 0;
      double pTdiff = 0.;
      int nDoc = (iDiff < 2) ? 4 : 5;
      for (int i = nDoc + 1; i < event.size(); ++i)
      if (event[i].isFinal() && event[i].isCharged()) {
        // Trace back final particle to see which system it comes from.
        int k = i;
        do k = event[k].mother1();
        while (k > nDoc);
        if (k == iDiff + 3) {
          ++ndiff;
          pTdiff += event[i].pT();
        }
      }
      // Study diffractive mass spectrum.
      double mDiff = event[iDiff+3].m();
      double mLog  = log10( mDiff);
      mLogInel.fill( mLog );
      nChgmLog.fill( mLog, ndiff );
      if (ndiff > 0) pTmLog.fill( mLog, pTdiff / ndiff );
      mSpec.fill( mDiff );
      mLogSpec.fill( mLog );
    }

    // Study pT spectrum of all hard collisions, no distinction.
    double pT = pythia.info.pTHat();
    pTspec.fill( pT );

    // Study t distribution of elastic/diffractive events.
    if (code > 101) {
      double tAbs = abs(pythia.info.tHat());
      if (code == 102) {
        tSpecEl.fill(tAbs);
        tSpecElLog.fill(log10(tAbs));
      }
      else if (code == 103 || code == 104) tSpecSD.fill(tAbs);
      else if (code == 105) tSpecDD.fill(tAbs);
      else if (code == 106) {
        double t1Abs = abs( (event[3].p() - event[1].p()).m2Calc() );
        double t2Abs = abs( (event[4].p() - event[2].p()).m2Calc() );
        tSpecCD.fill(t1Abs);
        tSpecCD.fill(t2Abs);
      }

    // Study nondiffractive inelastic events in (pT, b) space.
    } else {
      double b = pythia.info.bMPI();
      double enhance = pythia.info.enhanceMPI();
      int nMPI = pythia.info.nMPI();
      pTspecND.fill( pT );
      bSpec.fill( b );
      enhanceSpec.fill( enhance );
      number.fill( nMPI );
      if (b < 0.5) pTb1.fill( pT );
      else if (b < 1.0) pTb2.fill( pT );
      else if (b < 1.5) pTb3.fill( pT );
      else pTb4.fill( pT );
      if (pT < 2.) bpT1.fill( b );
      else if (pT < 5.) bpT2.fill( b );
      else if (pT < 15.) bpT3.fill( b );
      else bpT4.fill( b );
    }

  // End of event loop.
  }

  // Final statistics and histograms.
  pythia.stat();
  pTnChg   /= nChg;
  pTnChgSD /= nChgSD;
  pTnChgDD /= nChgDD;
  pTnChgCD /= nChgCD;
  pTnChgND /= nChgND;
  nChgmLog /= mLogInel;
  pTmLog   /= mLogInel;
  cout << yChg << nChg << nChgSD << nChgDD << nChgCD << nChgND
       << pTnChg << pTnChgSD << pTnChgDD << pTnChgCD << pTnChgND
       << mLogInel << nChgmLog << pTmLog
       << tSpecEl << tSpecElLog << tSpecSD << tSpecDD << tSpecCD
       << mSpec << mLogSpec
       << pTspec << pTspecND << bSpec << enhanceSpec << number
       << pTb1 << pTb2 << pTb3 << pTb4 << bpT1 << bpT2 << bpT3 << bpT4;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main08.cmnd0000644000175000017500000000135612357054675016137 0ustar  sunsun! File: main08.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The changes here are illustrative, not always physics-motivated.

! The current file is input for subruns with consecutive pT ranges.

Main:numberOfSubruns = 5

Main:subrun = 0
PhaseSpace:pTHatMin = 100.
PhaseSpace:pTHatMax = 150.

Main:subrun = 1
PhaseSpace:pTHatMin = 150.
PhaseSpace:pTHatMax = 250.

Main:subrun = 2
PhaseSpace:pTHatMin = 250.
PhaseSpace:pTHatMax = 400.

Main:subrun = 3
PhaseSpace:pTHatMin = 400.
PhaseSpace:pTHatMax = 600.

Main:subrun = 4
PhaseSpace:pTHatMin = 600.
PhaseSpace:pTHatMax = 0.              ! 0. means open-ended
pythia8-8.1.86.orig/examples/README0000644000175000017500000001173712357054721015054 0ustar  sunsun----------------------------------------------------------------------

   BASIC INSTRUCTIONS FOR RUNNING TEST PROGRAMS

1) You are supposed to have already compiled PYTHIA 8, as described in 
   the README file of the mother directory. For the moment we assume
   that you will NOT use the HepMC, LHAPDF, or FastJet libraries.

2) You are now ready to test run the first thirty of the mainNN examples,
   see the manual page "Sample main program" for details.
   Type "gmake mainNN" to build an executable "mainNN.exe". 
   Type "./mainNN.exe > output" to run this executable. 
   Then study the output file. The existing files outNN are examples of 
   possible outputs from several runs, so that you can compare.

3) If you want to run your own programs from this directory you can edit
   the "Makefile", adding the name of your main program to the already
   existing ones. Note that different cases exist, depending on which 
   external libraries are to be linked. There is no main00, but this 
   name is defined in the Makefile, so it can be used for simple first 
   tests.

4) With ./runmains all the 27 first mainXX program will be run,
   plus main31, to get a thorough test of the installation. 
   The runmains file can easily be edited to run the others as well,
   but then you should first link to the appropriate external libraries.
   The outref subdirectory contains the output of such a run, if you
   want to compare with what you obtain.

5) Type "gmake clean" to clean up the examples directory (but not the
   output files).

----------------------------------------------------------------------

   ADVANCED INSTRUCTIONS FOR RUNNING TEST PROGRAMS

1) If you want to be able to run examples linked to HepMC you should 
   already have set that up with the "./configure" command in the mother 
   directory. If not, you can go back and do it now. This will create 
   files "config.csh" and "config.sh" in the current directory.

2) If you are going to run examples linked with LHAPDF and/or FastJet, 
   or if you want to move (all or parts of) the current examples 
   subdirectory to a location separate from the rest of the library, 
   you should as a first step run the script "configure" in the current 
   directory. You can use command-line arguments to set up the desired 
   library links. 

   The possible options are:
     --help : prints a brief summary of the options described here.
     --enable-debug : turns on debugging flags and turns off optimization
     --enable-shared : use shared library (not yet implemented; default no)
     --lcgplatform=name : LCG platform name (can be part of path to 
         external librtaries; default is x86_64-slc5-gcc43-opt)
     --with-pythia8=p8path : path to the pythia81xx installation directory, 
         where the programs in this examples directory can find libraries,
         includes and parameters (default is ..)
     --with-lhapdf=lhapdfpath : the path to your local copy of the LHAPDF
         library (must be version 5.3 or higher)
     --with-lhapdfversion=v : a simpler alternative to the above, valid 
         if you are using the CERN AFS MCGenerators area; then you do not 
         need to specify the full path but only the version, e.g. =5.3.0 
         (must be version 5.3 or higher) 
     --with-lhapdflibname=n : lhapdf library name line (default is -lLHAPDF)
     --with-lhapdfsets=path : path to the LHAPDF data files 
         (default is lhapdfpath/../PDFsets, CERN AFS default is 
         lhapdfpath/../../../share/PDFsets)
     --with-fastjet=path : path to FastJet (default = /usr/local)
     --with-fastjetversion=v : FastJet version 
         (simplified alternative when using CERN AFS external, e.g. =2.3.3)

   When "configure" is run it will create or append to the config.csh 
   and config.sh files.

3) Before running the examples using external libraries for the first 
   time, type "source config.csh" if you use the csh or tcsh shell, or 
   "source config.sh" otherwise. (Use "echo $SHELL" if uncertain.)
   This will set or append the environment variables LD_LIBRARY_PATH,
   needed to find the HepMC libraries. (Eventually also LHAPDF and FastJet
   libraries, if shared ones are used. Default, if taken from CERN AFS 
   MCGenerators, is archive.) It will also set the variable LHAPATH, 
   needed to find the LHAPDF data files.

4) If you want to change to other LHAPDF or FastJet or versions, you 
   have to rerun the script "configure" and again "source" one of the 
   config.* files. In case of using shared libraries (these will  be taken 
   if both shared and archive ones are on the same path) pay attention to 
   the variable LD_LIBRARY_PATH: subsequent commands "source" will add new 
   items to it, not substitute the old ones. As a result, the wrong 
   version can still be loaded at runtime, which can cause relocation 
   errors. A simple solution is to repeat the "configure" and "source" 
   steps in a new window, i.e. in a new clean copy of the shell.

----------------------------------------------------------------------
pythia8-8.1.86.orig/examples/softsusy.spc0000644000175000017500000001377112357054721016602 0ustar  sunsun# SOFTSUSY1.9
# B.C. Allanach, Comput. Phys. Commun. 143 (2002) 305-331, hep-ph/0104145
Block SPINFO         # Program information
     1   SOFTSUSY    # spectrum calculator
     2   1.9.1       # version number
Block MODSEL  # Select model
     1    1   # sugra
Block SMINPUTS   # Standard Model inputs
     1    1.27934000e+02   # alpha_em^(-1)(MZ) SM MSbar
     2    1.16637000e-05   # G_Fermi
     3    1.17200000e-01   # alpha_s(MZ)MSbar
     4    9.11876000e+01   # MZ(pole)
     5    4.25000000e+00   # Mb(mb)
     6    1.74300000e+02   # Mtop(pole)
     7    1.77700000e+00   # Mtau(pole)
Block MINPAR  # SUSY breaking input parameters
     3    1.00000000e+01   # tanb
     4    1.00000000e+00   # sign(mu)
     1    1.00000000e+02   # m0
     2    2.50000000e+02   # m12
     5   -1.00000000e+02   # A0
# Low energy data in SOFTSUSY: MIXING=-1 TOLERANCE=1.00000000e-03
# mgut=2.45916471e+16 GeV
Block MASS   # Mass spectrum
#PDG code      mass              particle
        24     8.04191121e+01   # MW
        25     1.10762378e+02   # h0
        35     4.00599584e+02   # H0
        36     4.00231463e+02   # A0
        37     4.08513284e+02   # H+
   1000001     5.72700955e+02   # ~d_L
   1000002     5.67251814e+02   # ~u_L
   1000003     5.72700955e+02   # ~s_L
   1000004     5.67251814e+02   # ~c_L
   1000005     5.15211952e+02   # ~b_1
   1000006     3.95920984e+02   # ~t_1
   1000011     2.04276615e+02   # ~e_L
   1000012     1.88657729e+02   # ~nue_L
   1000013     2.04276615e+02   # ~mu_L
   1000014     1.88657729e+02   # ~numu_L
   1000015     1.36227147e+02   # ~stau_1
   1000016     1.87773326e+02   # ~nu_tau_L
   1000021     6.07604198e+02   # ~g
   1000022     9.72852615e+01   # ~neutralino(1)
   1000023     1.80961862e+02   # ~neutralino(2)
   1000024     1.80378828e+02   # ~chargino(1)
   1000025    -3.64435115e+02   # ~neutralino(3)
   1000035     3.83135773e+02   # ~neutralino(4)
   1000037     3.83371870e+02   # ~chargino(2)
   2000001     5.46070490e+02   # ~d_R
   2000002     5.46999685e+02   # ~u_R
   2000003     5.46070490e+02   # ~s_R
   2000004     5.46999685e+02   # ~c_R
   2000005     5.43966766e+02   # ~b_2
   2000006     5.85698733e+02   # ~t_2
   2000011     1.45526717e+02   # ~e_R
   2000013     1.45526717e+02   # ~mu_R
   2000015     2.08222793e+02   # ~stau_2
# Higgs mixing
Block alpha   # Effective Higgs mixing parameter
          -1.13732831e-01   # alpha
Block stopmix  # stop mixing matrix
  1  1     5.38083886e-01   # O_{11}
  1  2     8.42891293e-01   # O_{12}
  2  1     8.42891293e-01   # O_{21}
  2  2    -5.38083886e-01   # O_{22}
Block sbotmix  # sbottom mixing matrix
  1  1     9.47744273e-01   # O_{11}
  1  2     3.19031021e-01   # O_{12}
  2  1    -3.19031021e-01   # O_{21}
  2  2     9.47744273e-01   # O_{22}
Block staumix  # stau mixing matrix
  1  1     2.80956141e-01   # O_{11}
  1  2     9.59720609e-01   # O_{12}
  2  1     9.59720609e-01   # O_{21}
  2  2    -2.80956141e-01   # O_{22}
Block nmix  # neutralino mixing matrix
  1  1     9.86066377e-01   # N_{1,1}
  1  2    -5.46292061e-02   # N_{1,2}
  1  3     1.47649927e-01   # N_{1,3}
  1  4    -5.37424305e-02   # N_{1,4}
  2  1     1.02062420e-01   # N_{2,1}
  2  2     9.42721210e-01   # N_{2,2}
  2  3    -2.74985600e-01   # N_{2,3}
  2  4     1.58880154e-01   # N_{2,4}
  3  1    -6.04575099e-02   # N_{3,1}
  3  2     8.97030908e-02   # N_{3,2}
  3  3     6.95501068e-01   # N_{3,3}
  3  4     7.10335491e-01   # N_{3,4}
  4  1    -1.16624405e-01   # N_{4,1}
  4  2     3.16616055e-01   # N_{4,2}
  4  3     6.47194471e-01   # N_{4,3}
  4  4    -6.83587843e-01   # N_{4,4}
Block Umix  # chargino U mixing matrix 
  1  1     9.15531658e-01   # U_{1,1}
  1  2    -4.02245924e-01   # U_{1,2}
  2  1     4.02245924e-01   # U_{2,1}
  2  2     9.15531658e-01   # U_{2,2}
Block Vmix  # chargino V mixing matrix 
  1  1     9.72345994e-01   # V_{1,1}
  1  2    -2.33545003e-01   # V_{1,2}
  2  1     2.33545003e-01   # V_{2,1}
  2  2     9.72345994e-01   # V_{2,2}
Block gauge Q= 4.64231969e+02  
     1     3.60968173e-01   # g'(Q)MSSM DRbar
     2     6.46474399e-01   # g(Q)MSSM DRbar
     3     1.09626470e+00   # g3(Q)MSSM DRbar
Block yu Q= 4.64231969e+02  
  3  3     8.89731484e-01   # Yt(Q)MSSM DRbar
Block yd Q= 4.64231969e+02  
  3  3     1.39732269e-01   # Yb(Q)MSSM DRbar
Block ye Q= 4.64231969e+02  
  3  3     1.00914051e-01   # Ytau(Q)MSSM DRbar
Block hmix Q= 4.64231969e+02  # Higgs mixing parameters
     1     3.58339654e+02   # mu(Q)MSSM DRbar
     2     9.75145219e+00   # tan beta(Q)MSSM DRbar
     3     2.44923803e+02   # higgs vev(Q)MSSM DRbar
     4     1.67100152e+05   # mA^2(Q)MSSM DRbar
Block msoft Q=4.64231969e+02 # MSSM DRbar SUSY breaking parameters
     1     1.01439997e+02   # M_1(Q)
     2     1.91579315e+02   # M_2(Q)
     3     5.86586195e+02   # M_3(Q)
    21     3.23914077e+04   # mH1^2(Q)
    22    -1.29413007e+05   # mH2^2(Q)
    31     1.99042560e+02   # meL(Q)
    32     1.99042560e+02   # mmuL(Q)
    33     1.98204510e+02   # mtauL(Q)
    34     1.38811933e+02   # meR(Q)
    35     1.38811933e+02   # mmuR(Q)
    36     1.36392545e+02   # mtauR(Q)
    41     5.50815976e+02   # mqL1(Q)
    42     5.50815976e+02   # mqL2(Q)
    43     4.99361608e+02   # mqL3(Q)
    44     5.28861326e+02   # muR(Q)
    45     5.28861326e+02   # mcR(Q)
    46     4.18454191e+02   # mtR(Q)
    47     5.26100270e+02   # mdR(Q)
    48     5.26100270e+02   # msR(Q)
    49     5.22780488e+02   # mbR(Q)
Block au Q= 4.64231969e+02  
  1  1     0.00000000e+00   # Au(Q)MSSM DRbar
  2  2     0.00000000e+00   # Ac(Q)MSSM DRbar
  3  3    -5.04520155e+02   # At(Q)MSSM DRbar
Block ad Q= 4.64231969e+02  
  1  1     0.00000000e+00   # Ad(Q)MSSM DRbar
  2  2     0.00000000e+00   # As(Q)MSSM DRbar
  3  3    -7.97104366e+02   # Ab(Q)MSSM DRbar
Block ae Q= 4.64231969e+02  
  1  1     0.00000000e+00   # Ae(Q)MSSM DRbar
  2  2     0.00000000e+00   # Amu(Q)MSSM DRbar
  3  3    -2.56146632e+02   # Atau(Q)MSSM DRbar
pythia8-8.1.86.orig/examples/main26.cc0000644000175000017500000001711012357054677015600 0ustar  sunsun// main26.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a test program for the extra dimensions processes.
// Author: Stefan Ask (Stefan DOT Ask AT cern DOT ch)
// Documentation: S. Ask et al., arXiv:0809.4750 and arXiv:0912.4233

#include "Pythia8/Pythia.h"

using namespace Pythia8;

// The main program.
int main() {

  // Test cases
  // 1  = Jet + G       (real G emission)
  // 2  = Jet + U       (real U emission)
  // 3  = Z + G         (real G emission)
  // 4  = Z + U         (real U emission)
  // 5  = gamma gamma   (LED G* exchange)
  // 6  = l lbar        (LED U* exchange).
  //      Note: charged leptons only!
  // 7  = Z_KK/gamma_KK (TEV ED resonance)
  // 8  = G*            (RS resonance, SM on the TeV brane)
  // 9  = kk-gluon*     (RS resonance)
  int nTest = 1;

  // Number of events to generate. Max number of errors.
  int nEvent     = 1000;
  int nAbort     = 50;

  // Pythia generator.
  Pythia pythia;

  // PYTHIA paramters:
  pythia.readString("PhaseSpace:showViolation = off");

  // Test case parameters
  if (nTest == 1) {
    pythia.readString("ExtraDimensionsLED:monojet = on");
    pythia.readString("ExtraDimensionsLED:n = 4");
    pythia.readString("ExtraDimensionsLED:MD = 4000.");
    pythia.readString("ExtraDimensionsLED:CutOffmode = 3");
    pythia.readString("ExtraDimensionsLED:t = 2");
    pythia.readString("5000039:m0 = 2500.");
    pythia.readString("5000039:mWidth = 1500.");
    pythia.readString("5000039:mMin = 1.");
    pythia.readString("5000039:mMax = 13990.");
    pythia.readString("PhaseSpace:pTHatMin = 700.");
  } else if (nTest == 2){
    pythia.readString("ExtraDimensionsUnpart:gg2Ug = off");
    pythia.readString("ExtraDimensionsUnpart:qg2Uq = on");
    pythia.readString("ExtraDimensionsUnpart:qqbar2Ug = on");
    pythia.readString("ExtraDimensionsUnpart:spinU = 1");
    pythia.readString("ExtraDimensionsUnpart:dU = 1.2");
    pythia.readString("ExtraDimensionsUnpart:LambdaU = 1000");
    pythia.readString("ExtraDimensionsUnpart:lambda = 1.0");
    pythia.readString("ExtraDimensionsUnpart:CutOffmode = 0");
    pythia.readString("5000039:m0 = 300.");
    pythia.readString("5000039:mWidth = 500.");
    pythia.readString("5000039:mMin = 1.");
    pythia.readString("5000039:mMax = 13990.");
    pythia.readString("PhaseSpace:pTHatMin = 700.");
  } else if (nTest == 3){
    pythia.readString("ExtraDimensionsLED:ffbar2GZ = on");
    pythia.readString("ExtraDimensionsLED:n = 6");
    pythia.readString("ExtraDimensionsLED:MD = 2000.");
    pythia.readString("ExtraDimensionsLED:CutOffmode = 1");
    pythia.readString("5000039:m0 = 3000.");
    pythia.readString("5000039:mWidth = 1500.");
    pythia.readString("5000039:mMin = 1.");
    pythia.readString("5000039:mMax = 13990.");
    pythia.readString("PhaseSpace:pTHatMin = 50.");
  } else if (nTest == 4){
    pythia.readString("ExtraDimensionsUnpart:ffbar2UZ = on");
    pythia.readString("ExtraDimensionsUnpart:spinU = 1");
    pythia.readString("ExtraDimensionsUnpart:dU = 2.0");
    pythia.readString("ExtraDimensionsUnpart:LambdaU = 1000");
    pythia.readString("ExtraDimensionsUnpart:lambda = 1.000");
    pythia.readString("ExtraDimensionsUnpart:CutOffmode = 0");
    pythia.readString("5000039:m0 = 500.");
    pythia.readString("5000039:mWidth = 1000.");
    pythia.readString("5000039:mMin = 1.");
    pythia.readString("5000039:mMax = 13990.");
    pythia.readString("PhaseSpace:pTHatMin = 50.");
  } else if (nTest == 5){
    pythia.readString("ExtraDimensionsLED:ffbar2gammagamma = on");
    pythia.readString("ExtraDimensionsLED:gg2gammagamma = on");
    pythia.readString("ExtraDimensionsLED:LambdaT = 3300.");
    pythia.readString("PhaseSpace:mHatMin = 800.");
  } else if (nTest == 6){
    pythia.readString("ExtraDimensionsUnpart:ffbar2llbar = on");
    pythia.readString("ExtraDimensionsUnpart:gg2llbar = off");
    pythia.readString("ExtraDimensionsUnpart:spinU = 1");
    pythia.readString("ExtraDimensionsUnpart:dU = 1.3");
    pythia.readString("ExtraDimensionsUnpart:LambdaU = 1000");
    pythia.readString("ExtraDimensionsUnpart:lambda = 1.0");
    pythia.readString("ExtraDimensionsUnpart:gXX = 0");
    pythia.readString("ExtraDimensionsUnpart:gXY = 0");
    pythia.readString("PhaseSpace:mHatMin = 300.");
  } else if (nTest == 7){
    pythia.readString("ExtraDimensionsTEV:ffbar2mu+mu- = on");
    pythia.readString("ExtraDimensionsTEV:gmZmode = 3");
    pythia.readString("ExtraDimensionsTEV:nMax = 100");
    pythia.readString("ExtraDimensionsTEV:mStar = 4000");
    pythia.readString("PhaseSpace:mHatMin = 1000");
    pythia.readString("PhaseSpace:mHatMax = 6000");
    pythia.readString("5000023:isResonance = false");
  } else if (nTest == 8){
    pythia.readString("ExtraDimensionsG*:all = on");
  } else if (nTest == 9){
    pythia.readString("ExtraDimensionsG*:qqbar2KKgluon* = on");
    pythia.readString("ExtraDimensionsG*:KKintMode = 2");
    pythia.readString("ExtraDimensionsG*:KKgqR = -0.2");
    pythia.readString("ExtraDimensionsG*:KKgqL = -0.2");
    pythia.readString("ExtraDimensionsG*:KKgbR = -0.2");
    pythia.readString("ExtraDimensionsG*:KKgbL = 1.0");
    pythia.readString("ExtraDimensionsG*:KKgtR = 5.0");
    pythia.readString("ExtraDimensionsG*:KKgtL = 1.0");
    pythia.readString("5100021:m0 = 2000");
  }

  // Switch off sophisticated tau treatment: not yet matched to SUSY.
  pythia.readString("ParticleDecays:sophisticatedTau = 0");

  // Initialization for LHC.
  pythia.readString("Beams:eCM = 14000.");
  pythia.init();

  // Validation histograms
  Hist hEtjet("dN/dETjet: monojet check", 100, 0., 7000.);
  Hist hMass("dN/m: graviton mass spectrum", 100, 0., 7000.);

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {
    
    // Generate events. Quit if many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      std::cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Checked particle index
    int tmp_monojet = -1;

    // Particle loop
    for (int iPart = 0; iPart < pythia.event.size(); ++iPart) {

      // From hard process (inital = 21, interm.=22, final=23 state)
      if (pythia.event[iPart].statusAbs()  == 22) {

        // Find Z_KK/gamma_KK or kk-gluon
        if( pythia.event[iPart].idAbs() == 5000023
         || pythia.event[iPart].idAbs() == 5100021
         || pythia.event[iPart].idAbs() == 5100039){
          hMass.fill( pythia.event[iPart].m() );
        }
        
      } else if ( pythia.event[iPart].statusAbs()  == 23 ) {
        
        // Find graviton/unparticle
        if( pythia.event[iPart].idAbs() == 5000039){
          hMass.fill( pythia.event[iPart].m() );
        }

        // Find mono-jets
        if (nTest == 1 || nTest == 2) {
          if ( pythia.event[iPart].idAbs() <= 6
            || pythia.event[iPart].idAbs() == 21 ){
            if (tmp_monojet >= 0) {
              std::cout << "More than one (hard process) mono-jet ! \n";
            } else {
              tmp_monojet  = iPart;
            }
          }
        }

      }
    }

    // Validation mono-jet wrt G.Giudice et al. paper [hep-ph/9811291v2]
    if (tmp_monojet >= 0) {
      double tmp_eta = pythia.event[tmp_monojet].eta();
      double tmp_et = pythia.event[tmp_monojet].eT();
      double tmp_et_cut = 1000;
      if ( tmp_et >=  tmp_et_cut && abs(tmp_eta) < 3 ) {
        hEtjet.fill( fabs(tmp_et) );
      }
    }
    
  }
 
  // Final statistics.
  pythia.stat();
  cout << hMass << hEtjet;

  return 0;
}
pythia8-8.1.86.orig/examples/main10.cc0000644000175000017500000001106412357054675015571 0ustar  sunsun// main10.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Example how you can use UserHooks to trace pT spectrum through program,
// and veto undesirable jet multiplicities.

#include "Pythia8/Pythia.h"
using namespace Pythia8;

//==========================================================================

// Put histograms here to make them global, so they can be used both
// in MyUserHooks and in the main program.

Hist pTtrial("trial pT spectrum", 100, 0., 400.);
Hist pTselect("selected pT spectrum (before veto)", 100, 0., 400.);
Hist pTaccept("accepted pT spectrum (after veto)", 100, 0., 400.);
Hist nPartonsB("number of partons before veto", 20, -0.5, 19.5);
Hist nJets("number of jets before veto", 20, -0.5, 19.5);
Hist nPartonsA("number of partons after veto", 20, -0.5, 19.5);
Hist nFSRatISR("number of FSR emissions at first ISR emission",
  20, -0.5, 19.5);

//==========================================================================

// Write own derived UserHooks class.

class MyUserHooks : public UserHooks {

public:

  // Constructor creates anti-kT jet finder with (-1, R, pTmin, etaMax).
  MyUserHooks() { slowJet = new SlowJet(-1, 0.7, 10., 5.); }

  // Destructor deletes anti-kT jet finder.
  ~MyUserHooks() {delete slowJet;}

  // Allow process cross section to be modified...
  virtual bool canModifySigma() {return true;}
  
  // ...which gives access to the event at the trial level, before selection.
  virtual double multiplySigmaBy(const SigmaProcess* sigmaProcessPtr,
    const PhaseSpace* phaseSpacePtr, bool inEvent) {

    // All events should be 2 -> 2, but kill them if not.
    if (sigmaProcessPtr->nFinal() != 2) return 0.;
        
    // Extract the pT for 2 -> 2 processes in the event generation chain
    // (inEvent = false for initialization).
    if (inEvent) {
      pTHat = phaseSpacePtr->pTHat();
      // Fill histogram of pT spectrum.
      pTtrial.fill( pTHat );
    }
    
    // Here we do not modify 2 -> 2 cross sections.
    return 1.;
  }

  // Allow a veto for the interleaved evolution in pT.
  virtual bool canVetoPT() {return true;}

  // Do the veto test at a pT scale of 5 GeV.
  virtual double scaleVetoPT() {return 5.;}

  // Access the event in the interleaved evolution.
  virtual bool doVetoPT(int iPos, const Event& event) {

    // iPos <= 3 for interleaved evolution; skip others.
    if (iPos > 3) return false;

    // Fill histogram of pT spectrum at this stage.
    pTselect.fill(pTHat);

    // Extract a copy of the partons in the hardest system.
    subEvent(event);
    nPartonsB.fill( workEvent.size() );

    // Find number of jets with given conditions.
    slowJet->analyze(event);
    int nJet = slowJet->sizeJet();
    nJets.fill( nJet );

    // Veto events which do not have exactly three jets.
    if (nJet != 3) return true;

    // Statistics of survivors.
    nPartonsA.fill( workEvent.size() );
    pTaccept.fill(pTHat);

    // Do not veto events that got this far.
    return false;

  }

  // Allow a veto after (by default) first step.
  virtual bool canVetoStep() {return true;}

  // Access the event in the interleaved evolution after first step.
  virtual bool doVetoStep( int iPos, int nISR, int nFSR, const Event& ) {

    // Only want to study what happens at first ISR emission
    if (iPos == 2 && nISR == 1) nFSRatISR.fill( nFSR );

    // Not intending to veto any events here.
    return false;
  }

private:

  // The anti-kT (or kT, C/A) jet finder.
  SlowJet* slowJet;

  // Save the pThat scale.
  double pTHat;

};

//==========================================================================

int main() {

  // Generator.
  Pythia pythia;

  //  Process selection. No need to study hadron level.
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 50.");
  pythia.readString("HadronLevel:all = off");

  // Set up to do a user veto and send it in.
  MyUserHooks* myUserHooks = new MyUserHooks();
  pythia.setUserHooksPtr( myUserHooks);
 
  // Tevatron initialization.
  pythia.readString("Beams:idB = -2212");
  pythia.readString("Beams:eCM = 1960.");
  pythia.init();
   
  // Begin event loop.
  for (int iEvent = 0; iEvent < 1000; ++iEvent) {

    // Generate events.
    pythia.next();

  // End of event loop.
  }

  // Statistics. Histograms.
  pythia.stat();
  cout << pTtrial << pTselect << pTaccept
       << nPartonsB << nJets << nPartonsA
       << nFSRatISR;

  // Done.
  delete myUserHooks;
  return 0;
}
pythia8-8.1.86.orig/examples/main84.cc0000644000175000017500000003352612357054702015602 0ustar  sunsun// main84.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do CKKW-L merging,
// see the Matrix Element Merging page in the online manual.

#include 
#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"

using namespace Pythia8;

// Functions for histogramming
#include "fastjet/PseudoJet.hh"
#include "fastjet/ClusterSequence.hh"
#include "fastjet/CDFMidPointPlugin.hh"
#include "fastjet/CDFJetCluPlugin.hh"
#include "fastjet/D0RunIIConePlugin.hh"

//==========================================================================

// Find the Durham kT separation of the clustering from
// nJetMin --> nJetMin-1 jets in te input event

double pTfirstJet( const Event& event, int nJetMin, double Rparam) {

  double yPartonMax = 4.;

  // Fastjet analysis - select algorithm and parameters
  fastjet::Strategy               strategy = fastjet::Best;
  fastjet::RecombinationScheme    recombScheme = fastjet::E_scheme;
  fastjet::JetDefinition         *jetDef = NULL;
  // For hadronic collision, use hadronic Durham kT measure
  if(event[3].colType() != 0 || event[4].colType() != 0)
    jetDef = new fastjet::JetDefinition(fastjet::kt_algorithm, Rparam,
                                      recombScheme, strategy);
  // For e+e- collision, use e+e- Durham kT measure
  else
    jetDef = new fastjet::JetDefinition(fastjet::ee_kt_algorithm,
                                      recombScheme, strategy);
  // Fastjet input
  std::vector  fjInputs;
  // Reset Fastjet input
  fjInputs.resize(0);

  // Loop over event record to decide what to pass to FastJet
  for (int i = 0; i < event.size(); ++i) {
    // (Final state && coloured+photons) only!
    if ( !event[i].isFinal()
      || event[i].isLepton()
      || event[i].id() == 23
      || abs(event[i].id()) == 24
      || abs(event[i].y()) > yPartonMax)
      continue;

    // Store as input to Fastjet
    fjInputs.push_back( fastjet::PseudoJet (event[i].px(),
            event[i].py(), event[i].pz(),event[i].e() ) );
  }

  // Do nothing for empty input
  if (int(fjInputs.size()) == 0) {
    delete jetDef;
    return 0.0;
  }

  // Run Fastjet algorithm
  fastjet::ClusterSequence clustSeq(fjInputs, *jetDef);
  // Extract kT of first clustering
  double pTFirst = sqrt(clustSeq.exclusive_dmerge_max(nJetMin-1));

  delete jetDef;
  // Return kT
  return pTFirst;

}

//==========================================================================

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 6) {
    cerr << " Unexpected number of command-line arguments. \n You are"
         << " expected to provide the arguments" << endl
         << " 1. Input file for settings" << endl
         << " 2. Name of output HepMC file" << endl
         << " 3. Maximal number of additional jets"
         << " (not used internally in Pythia, only used to construct the full"
         << " name of lhe files with additional jets, and to label output"
         << " histograms)" << endl
         << " 4. Full name of the input LHE file (with path"
         << " , without any _0.lhe suffix)" << endl
         << " 5. Path for output histogram files" << endl
         << " Program stopped. " << endl;
    return 1;
  }

  Pythia pythia;

  // First argument: Get input from an input file
  pythia.readFile(argv[1]);
  int nEvent = pythia.mode("Main:numberOfEvents");

  // Interface for conversion from Pythia8::Event to HepMC event.
  // Will fill cross section and event weight directly in this program,
  // so switch it off for normal conversion routine.
  HepMC::Pythia8ToHepMC ToHepMC;
  ToHepMC.set_store_xsec(false);

  // Specify file where HepMC events will be stored.
  HepMC::IO_GenEvent ascii_io(argv[2], std::ios::out);

  // Third argument: Maximal number of additional jets
  int njet = atoi(argv[3]);

  // Read input and output paths
  string iPath = string(argv[4]);
  string oPath = string(argv[5]);

  // To write correctly normalized events to hepmc file, first get
  // a reasonable accurate of the cross section
  int njetCounterEstimate = njet;
  vector xsecEstimate;

  vector nTrialEstimate;
  vector nAcceptEstimate;

  pythia.readString("Random:setSeed = on");
  pythia.readString("Random:seed = 42390964");

  while(njetCounterEstimate >= 0) {

    // Number of runs
    int nRun = 1;
    double nTrial = 0.;
    double nAccept = 0.;

    int countEvents = 0;

    // Run pythia nRun times with the same lhe file to get nRun times
    // higher statistics in the histograms
    for(int n = 1; n <= nRun ; ++n ) {

      // Get process and events from LHE file, initialize only the
      // first time
      bool skipInit = false;
      if(n > 1){
        skipInit = true;
        pythia.readString("Main:LHEFskipInit = on");
      }

      // From njet, choose LHE file
      stringstream in;
      in   << "_" << njetCounterEstimate << ".lhe";

      string LHEfile = iPath + in.str();

      pythia.readString("HadronLevel:all = off");

      // Read in ME configurations
      pythia.init(LHEfile,skipInit);

      for( int iEvent=0; iEvent 0 )
      njetCounterEstimate--;
    else
      break;

  } // end loop over different jet multiplicities

  cout << endl << "Finished estimating cross section"
    << endl;

  for(int i=0; i < int(xsecEstimate.size()); ++i)
    cout << "  Cross section estimate for " << njet-i << " jets :"
      << scientific << setprecision(8) << xsecEstimate[i]
      << endl;
  for(int i=0; i < int(nTrialEstimate.size()); ++i)
    cout << "  Trial events for " << njet-i << " jets :"
      << scientific << setprecision(3) << nTrialEstimate[i]
      << "  Accepted events for " << njet-i << " jets :"
      << scientific << setprecision(3) << nAcceptEstimate[i]
      << endl;
  cout << endl;

  // Now start merging procedure
  int njetCounter = njet;

  Hist histPTFirstSum("pT of first jet",100,0.,100.);
  Hist histPTSecondSum("pT of second jet",100,0.,100.);

  pythia.readString("Random:setSeed = on");
  pythia.readString("Random:seed = 42390964");

  // Sum of event weights
  double sigma = 0.0;
  double sigma2 = 0.0;

  while(njetCounter >= 0) {

    cout << "   Path to lhe files: " << iPath << "_*" << endl;
    cout << "   Output written to: " << oPath << "'name'.dat" << endl;

    // Set up histograms of pT of the first jet
    Hist histPTFirst("pT of first jet",100,0.,200.);
    Hist histPTSecond("pT of second jet",100,0.,200.);
    Hist histPTThird("pT of third jet",100,0.,200.);
    Hist histPTFourth("pT of fourth jet",50,0.,100.);
    Hist histPTFifth("pT of fifth jet",30,0.,50.);
    Hist histPTSixth("pT of sixth jet",30,0.,50.);

    // Number of runs
    int nRun = 1;
    // Number of tried events
    int nTriedEvents = 0;
    // Number of accepted events
    int nAccepEvents = 0;

    // Run pythia nRun times with the same lhe file to get nRun times
    // higher statistics in the histograms
    for(int n = 1; n <= nRun ; ++n ) {

      // Get process and events from LHE file, initialize only the
      // first time
      bool skipInit = false;
      if(n > 1){
        skipInit = true;
        pythia.readString("Main:LHEFskipInit = on");
      }

      // From njet, choose LHE file
      stringstream in;
      in   << "_" << njetCounter << ".lhe";

      string LHEfile = iPath + in.str();

      cout << endl << endl
        << "\t LHE FILE FOR + " << njetCounter
        << " JET SAMPLE READ FROM " << LHEfile
        << endl << endl;

      cout << "Normalise with xsection " << xsecEstimate[njet-njetCounter]
        << endl << endl;

      pythia.readString("HadronLevel:all = on");

      // Read in ME configurations
      pythia.init(LHEfile,skipInit);

      if(pythia.flag("Main:showChangedSettings")) {
        pythia.settings.listChanged();
      }

      for( int iEvent=0; iEvent 0.){
            // Construct new empty HepMC event and fill it.
            // Units will be as chosen for HepMC build, but can be changed
            // by arguments, e.g. GenEvt( HepMC::Units::GEV, HepMC::Units::MM)
            HepMC::GenEvent* hepmcevt = new HepMC::GenEvent();

            double normhepmc = 1.* xsecEstimate[njet-njetCounter]
                * nTrialEstimate[njet-njetCounter]
                / nAcceptEstimate[njet-njetCounter]
                * 1./ (double(nRun)*double(nEvent));

            sigma += weight*normhepmc;
            sigma2 += pow(weight*normhepmc,2);
            // Set event weight
            hepmcevt->weights().push_back(weight*normhepmc);

            // Fill summed histograms
            histPTFirstSum.fill( pTfirst, weight*normhepmc);
            histPTSecondSum.fill( pTsecnd, weight*normhepmc);

            // Fill HepMC event, with PDF info.
            ToHepMC.fill_next_event( pythia, hepmcevt );

            // Report cross section to hepmc
            HepMC::GenCrossSection xsec;
            xsec.set_cross_section( sigma*1e9,
              pythia.info.sigmaErr()*1e9 );
            hepmcevt->set_cross_section( xsec );

            // Write the HepMC event to file. Done with it.
            ascii_io << hepmcevt;
            delete hepmcevt;
          }

        } // if( pythia.next() )

        if(nTriedEvents%10000 == 0)
          cout << nTriedEvents << endl;

      } // end loop over events to generate

      // print cross section, errors
      pythia.stat();

    } // end outer loop to rerun pythia with the same lhe file

    // Normalise histograms for this particular multiplicity
    double norm = 1.
                * pythia.info.sigmaGen()
                * double(nTriedEvents)/double(nAccepEvents)
                * 1./ (double(nRun)*double(nEvent));

    histPTFirst           *= norm;
    histPTSecond          *= norm;
    histPTThird           *= norm;
    histPTFourth          *= norm;
    histPTFifth           *= norm;
    histPTSixth           *= norm;

    // Write histograms for this particular multiplicity to file
    ofstream write;
    stringstream suffix;
    suffix << njet << "_" << njetCounter;
    suffix << "_wv.dat";

    write.open( (char*)(oPath + "PTjet1_" + suffix.str()).c_str());
    histPTFirst.table(write);
    write.close();

    write.open( (char*)(oPath + "PTjet2_" + suffix.str()).c_str());
    histPTSecond.table(write);
    write.close();

    write.open( (char*)(oPath + "PTjet3_" + suffix.str()).c_str());
    histPTThird.table(write);
    write.close();

    write.open( (char*)(oPath + "PTjet4_" + suffix.str()).c_str());
    histPTFourth.table(write);
    write.close();

    write.open( (char*)(oPath + "PTjet5_" + suffix.str()).c_str());
    histPTFifth.table(write);
    write.close();

    write.open( (char*)(oPath + "PTjet6_" + suffix.str()).c_str());
    histPTSixth.table(write);
    write.close();

    histPTFirst.null();
    histPTSecond.null();
    histPTThird.null();
    histPTFourth.null();
    histPTFifth.null();
    histPTSixth.null();

    // Restart with ME of a reduced the number of jets
    if( njetCounter > 0 )
      njetCounter--;
    else
      break;

  } // end loop over different jet multiplicities

  // Since the histograms have been filled with the correct weight for
  // each jet multiplicity, no normalisation is needed.
  // Write summed histograms to file.
  ofstream writeSum;
  stringstream suffixSum;
  suffixSum << njet << "_wv.dat";

  writeSum.open( (char*)(oPath + "PTjet1Sum_" + suffixSum.str()).c_str());
  histPTFirstSum.table(writeSum);
  writeSum.close();

  writeSum.open( (char*)(oPath + "PTjet2Sum_" + suffixSum.str()).c_str());
  histPTSecondSum.table(writeSum);
  writeSum.close();

  for(int i=0; i < int(xsecEstimate.size()); ++i)
    cout << "  Cross section estimate for " << njet-i << " jets :"
      << scientific << setprecision(8) << xsecEstimate[i]
      << endl;
  for(int i=0; i < int(nTrialEstimate.size()); ++i)
    cout << "  Trial events for " << njet-i << " jets :"
      << scientific << setprecision(3) << nTrialEstimate[i]
      << "  Accepted events for " << njet-i << " jets :"
      << scientific << setprecision(3) << nAcceptEstimate[i]
      << endl;
  cout << endl;

  cout << "Histogrammed cross section for "
     << iPath << " with " << njet << " additional jets is "
     << scientific << setprecision(8) << sigma
     << " error " << sqrt(sigma2) << endl;

  return 0;
}
pythia8-8.1.86.orig/examples/w_production_tree_1.lhe0000644000175000017500000062032512357054722020641 0ustar  sunsun

      


# MG    version    : 5.1.5.5


#************************************************************
#*                        MadGraph 5                        *
#*                                                          *
#*                *                       *                 *
#*                  *        * *        *                   *
#*                    * * * * 5 * * * *                     *
#*                  *        * *        *                   *
#*                *                       *                 *
#*                                                          *
#*                                                          *
#*         VERSION 1.5.5                 2012-11-18         *
#*                                                          *
#*    The MadGraph Development Team - Please visit us at    *
#*    https://server06.fynu.ucl.ac.be/projects/madgraph     *
#*                                                          *
#************************************************************
#*                                                          *
#*               Command File for MadGraph 5                *
#*                                                          *
#*     run as ./bin/mg5  filename                           *
#*                                                          *
#************************************************************
set group_subprocesses Auto
set ignore_six_quark_processes False
set gauge unitary
set complex_mass_scheme False
import model sm
define p = g u c d s u~ c~ d~ s~
define j = g u c d s u~ c~ d~ s~
define l+ = e+ mu+
define l- = e- mu-
define vl = ve vm vt
define vl~ = ve~ vm~ vt~
# Specify process(es) to run
generate p p > w+ j , w+ > e+ ve QED=2 @1
add process p p > w- j , w- > e- ve~ QED=2 @2
# Output processes to MadEvent directory
output -f


#*********************************************************************
#                        MadGraph/MadEvent                           *
#                   http://madgraph.hep.uiuc.edu                     *
#                                                                    *
#                          proc_card.dat                             *
#*********************************************************************
#                                                                    *
#            This Files is generated by MADGRAPH 5                   *
#                                                                    *
# WARNING: This Files is generated for MADEVENT (compatibility issue)*
#          This files is NOT a valid MG4 proc_card.dat               *
#          Running this in MG4 will NEVER reproduce the result of MG5*
#                                                                    *
#*********************************************************************
#*********************************************************************
# Process(es) requested : mg2 input                                  *
#*********************************************************************
# Begin PROCESS # This is TAG. Do not modify this line
p p > w+ j , w+ > e+ ve @1           #Process
# Be carefull the coupling are here in MG5 convention
QED=2
end_coup           # End the couplings input
done               # this tells MG there are no more procs
# End PROCESS  # This is TAG. Do not modify this line
#*********************************************************************
# Model information                                                  *
#*********************************************************************
# Begin MODEL  # This is TAG. Do not modify this line
sm
# End   MODEL  # This is TAG. Do not modify this line
#*********************************************************************
# Start multiparticle definitions                                    *
#*********************************************************************
# Begin MULTIPARTICLES # This is TAG. Do not modify this line
# End  MULTIPARTICLES # This is TAG. Do not modify this line


######################################################################
## PARAM_CARD AUTOMATICALY GENERATED BY MG5 FOLLOWING UFO MODEL   ####
######################################################################
##                                                                  ##
##  Width set on Auto will be computed following the information    ##
##        present in the decay.py files of the model. By default,   ##
##        this is only 1->2 decay modes.                            ##
##                                                                  ##
######################################################################
###################################
## INFORMATION FOR MASS
###################################
Block mass 
    5 4.700000e+00 # MB 
    6 1.730000e+02 # MT 
   15 1.777000e+00 # MTA 
   23 9.118800e+01 # MZ 
   25 1.200000e+02 # MH 
##  Not dependent paramater.
## Those values should be edited following the 
## analytical expression. MG5 ignore those values 
## but they are important for interfacing the output of MG5
## to external program such as Pythia.
  1 0.000000 # d : 0.0 
  2 0.000000 # u : 0.0 
  3 0.000000 # s : 0.0 
  4 0.000000 # c : 0.0 
  11 0.000000 # e- : 0.0 
  12 0.000000 # ve : 0.0 
  13 0.000000 # mu- : 0.0 
  14 0.000000 # vm : 0.0 
  16 0.000000 # vt : 0.0 
  21 0.000000 # g : 0.0 
  22 0.000000 # a : 0.0 
  24 80.419002 # w+ : cmath.sqrt(MZ__exp__2/2. + cmath.sqrt(MZ__exp__4/4. - (aEW*cmath.pi*MZ__exp__2)/(Gf*sqrt__2))) 
###################################
## INFORMATION FOR SMINPUTS
###################################
Block sminputs 
    1 1.325070e+02 # aEWM1 
    2 1.166390e-05 # Gf 
    3 1.180000e-01 # aS 
###################################
## INFORMATION FOR YUKAWA
###################################
Block yukawa 
    5 4.200000e+00 # ymb 
    6 1.645000e+02 # ymt 
   15 1.777000e+00 # ymtau 
###################################
## INFORMATION FOR DECAY
###################################
DECAY   6 1.491500e+00 # WT 
DECAY  23 2.441404e+00 # WZ 
DECAY  24 2.047600e+00 # WW 
DECAY  25 5.753088e-03 # WH 
##  Not dependent paramater.
## Those values should be edited following the 
## analytical expression. MG5 ignore those values 
## but they are important for interfacing the output of MG5
## to external program such as Pythia.
DECAY  1 0.000000 # d : 0.0 
DECAY  2 0.000000 # u : 0.0 
DECAY  3 0.000000 # s : 0.0 
DECAY  4 0.000000 # c : 0.0 
DECAY  5 0.000000 # b : 0.0 
DECAY  11 0.000000 # e- : 0.0 
DECAY  12 0.000000 # ve : 0.0 
DECAY  13 0.000000 # mu- : 0.0 
DECAY  14 0.000000 # vm : 0.0 
DECAY  15 0.000000 # ta- : 0.0 
DECAY  16 0.000000 # vt : 0.0 
DECAY  21 0.000000 # g : 0.0 
DECAY  22 0.000000 # a : 0.0 


#*********************************************************************
#                       MadGraph/MadEvent                            *
#                  http://madgraph.hep.uiuc.edu                      *
#                                                                    *
#                        run_card.dat                                *
#                                                                    *
#  This file is used to set the parameters of the run.               *
#                                                                    *
#  Some notation/conventions:                                        *
#                                                                    *
#   Lines starting with a '# ' are info or comments                  *
#                                                                    *
#   mind the format:   value    = variable     ! comment             *
#*********************************************************************
#
#*******************                                                 
# Running parameters
#*******************                                                 
#                                                                    
#*********************************************************************
# Tag name for the run (one word)                                    *
#*********************************************************************
  tag_1     = run_tag ! name of the run 
#*********************************************************************
# Run to generate the grid pack                                      *
#*********************************************************************
  .false.     = gridpack  !True = setting up the grid pack
#*********************************************************************
# Number of events and rnd seed                                      *
# Warning: Do not generate more than 1M events in a single run       *
# If you want to run Pythia, avoid more than 50k events in a run.    *
#*********************************************************************
  1000        = nevents ! Number of unweighted events requested 
      396 = iseed   ! rnd seed (0=assigned automatically=default))
#*********************************************************************
# Collider type and energy                                           *
# lpp: 0=No PDF, 1=proton, -1=antiproton, 2=photon from proton,      *
#                                         3=photon from electron     *
#*********************************************************************
        1     = lpp1    ! beam 1 type 
        1     = lpp2    ! beam 2 type
     3500     = ebeam1  ! beam 1 total energy in GeV
     3500     = ebeam2  ! beam 2 total energy in GeV
#*********************************************************************
# Beam polarization from -100 (left-handed) to 100 (right-handed)    *
#*********************************************************************
        0     = polbeam1 ! beam polarization for beam 1
        0     = polbeam2 ! beam polarization for beam 2
#*********************************************************************
# PDF CHOICE: this automatically fixes also alpha_s and its evol.    *
#*********************************************************************
 'lhapdf'    = pdlabel     ! PDF set                                  
 10042       = lhaid          ! PDF set cteq6m
#*********************************************************************
# Renormalization and factorization scales                           *
#*********************************************************************
 T        = fixed_ren_scale  ! if .true. use fixed ren scale
 T        = fixed_fac_scale  ! if .true. use fixed fac scale
 91.1880  = scale            ! fixed ren scale
 80.4     = dsqrt_q2fact1    ! fixed fact scale for pdf1
 80.4     = dsqrt_q2fact2    ! fixed fact scale for pdf2
 1        = scalefact        ! scale factor for event-by-event scales
#*********************************************************************
# Matching - Warning! ickkw > 1 is still beta
#*********************************************************************
 0        = ickkw            ! 0 no matching, 1 MLM, 2 CKKW matching
 1        = highestmult      ! for ickkw=2, highest mult group
 1        = ktscheme         ! for ickkw=1, 1 Durham kT, 2 Pythia pTE
 1        = alpsfact         ! scale factor for QCD emission vx
 F        = chcluster        ! cluster only according to channel diag
 F        = pdfwgt           ! for ickkw=1, perform pdf reweighting
#*********************************************************************
# Automatic ptj and mjj cuts if xqcut > 0
# (turn off for VBF and single top processes)
#**********************************************************
   F  = auto_ptj_mjj  ! Automatic setting of ptj and mjj
#**********************************************************
#                                                                    
#**********************************
# BW cutoff (M+/-bwcutoff*Gamma)
#**********************************
  5  = bwcutoff      ! (M+/-bwcutoff*Gamma)
#**********************************************************
# Apply pt/E/eta/dr/mij cuts on decay products or not
# (note that etmiss/ptll/ptheavy/ht/sorted cuts always apply)
#**********************************************************
   F  = cut_decays    ! Cut decay products 
#*************************************************************
# Number of helicities to sum per event (0 = all helicities)
# 0 gives more stable result, but longer run time (needed for
# long decay chains e.g.).
# Use >=2 if most helicities contribute, e.g. pure QCD.
#*************************************************************
   0  = nhel          ! Number of helicities used per event
#*******************                                                 
# Standard Cuts
#*******************                                                 
#                                                                    
#*********************************************************************
# Minimum and maximum pt's (for max, -1 means no cut)                *
#*********************************************************************
  5 = ptj       ! minimum pt for the jets 
  0 = ptb       ! minimum pt for the b 
  0  = pta       ! minimum pt for the photons 
  0  = ptl       ! minimum pt for the charged leptons 
  0  = misset    ! minimum missing Et (sum of neutrino's momenta)
  0  = ptheavy   ! minimum pt for one heavy final state
  0  = ptonium   ! minimum pt for the quarkonium states
 -1  = ptjmax    ! maximum pt for the jets
 -1  = ptbmax    ! maximum pt for the b
 -1  = ptamax    ! maximum pt for the photons
 -1  = ptlmax    ! maximum pt for the charged leptons
 -1  = missetmax ! maximum missing Et (sum of neutrino's momenta)
#*********************************************************************
# Minimum and maximum E's (in the lab frame)                         *
#*********************************************************************
  0  = ej     ! minimum E for the jets 
  0  = eb     ! minimum E for the b 
  0  = ea     ! minimum E for the photons 
  0  = el     ! minimum E for the charged leptons 
 -1   = ejmax ! maximum E for the jets
 -1   = ebmax ! maximum E for the b
 -1   = eamax ! maximum E for the photons
 -1   = elmax ! maximum E for the charged leptons
#*********************************************************************
# Maximum and minimum absolute rapidity (for max, -1 means no cut)   *
#*********************************************************************
  -1  = etaj    ! max rap for the jets 
  -1  = etab    ! max rap for the b
  -1  = etaa    ! max rap for the photons 
  -1  = etal    ! max rap for the charged leptons 
  -1  = etaonium ! max rap for the quarkonium states
   0  = etajmin ! min rap for the jets
   0  = etabmin ! min rap for the b
   0  = etaamin ! min rap for the photons
   0  = etalmin ! main rap for the charged leptons
#*********************************************************************
# Minimum and maximum DeltaR distance                                *
#*********************************************************************
 1d-2 = drjj    ! min distance between jets 
 0    = drbb    ! min distance between b's 
 0    = drll    ! min distance between leptons 
 0    = draa    ! min distance between gammas 
 0    = drbj    ! min distance between b and jet 
 0   = draj    ! min distance between gamma and jet 
 0   = drjl    ! min distance between jet and lepton 
 0   = drab    ! min distance between gamma and b 
 0   = drbl    ! min distance between b and lepton 
 0   = dral    ! min distance between gamma and lepton 
 -1  = drjjmax ! max distance between jets
 -1  = drbbmax ! max distance between b's
 -1  = drllmax ! max distance between leptons
 -1  = draamax ! max distance between gammas
 -1  = drbjmax ! max distance between b and jet
 -1  = drajmax ! max distance between gamma and jet
 -1  = drjlmax ! max distance between jet and lepton
 -1  = drabmax ! max distance between gamma and b
 -1  = drblmax ! max distance between b and lepton
 -1  = dralmax ! maxdistance between gamma and lepton
#*********************************************************************
# Minimum and maximum invariant mass for pairs                       *
#*********************************************************************
 5.0 = mmjj    ! min invariant mass of a jet pair 
 0   = mmbb    ! min invariant mass of a b pair 
 0   = mmaa    ! min invariant mass of gamma gamma pair
 0   = mmll    ! min invariant mass of l+l- (same flavour) lepton pair
 -1  = mmjjmax ! max invariant mass of a jet pair
 -1  = mmbbmax ! max invariant mass of a b pair
 -1  = mmaamax ! max invariant mass of gamma gamma pair
 -1  = mmllmax ! max invariant mass of l+l- (same flavour) lepton pair
#*********************************************************************
# Minimum and maximum invariant mass for all letpons                 *
#*********************************************************************
 0   = mmnl    ! min invariant mass for all letpons (l+- and vl) 
 -1  = mmnlmax ! max invariant mass for all letpons (l+- and vl) 
#*********************************************************************
# Minimum and maximum pt for 4-momenta sum of leptons                *
#*********************************************************************
 0   = ptllmin  ! Minimum pt for 4-momenta sum of leptons(l and vl)
 -1  = ptllmax  ! Maximum pt for 4-momenta sum of leptons(l and vl)
#*********************************************************************
# Inclusive cuts                                                     *
#*********************************************************************
 0  = xptj ! minimum pt for at least one jet  
 0  = xptb ! minimum pt for at least one b 
 0  = xpta ! minimum pt for at least one photon 
 0  = xptl ! minimum pt for at least one charged lepton 
#*********************************************************************
# Control the pt's of the jets sorted by pt                          *
#*********************************************************************
 0   = ptj1min ! minimum pt for the leading jet in pt
 0   = ptj2min ! minimum pt for the second jet in pt
 0   = ptj3min ! minimum pt for the third jet in pt
 0   = ptj4min ! minimum pt for the fourth jet in pt
 -1  = ptj1max ! maximum pt for the leading jet in pt 
 -1  = ptj2max ! maximum pt for the second jet in pt
 -1  = ptj3max ! maximum pt for the third jet in pt
 -1  = ptj4max ! maximum pt for the fourth jet in pt
 0   = cutuse  ! reject event if fails any (0) / all (1) jet pt cuts
#*********************************************************************
# Control the pt's of leptons sorted by pt                           *
#*********************************************************************
 0   = ptl1min ! minimum pt for the leading lepton in pt
 0   = ptl2min ! minimum pt for the second lepton in pt
 0   = ptl3min ! minimum pt for the third lepton in pt
 0   = ptl4min ! minimum pt for the fourth lepton in pt
 -1  = ptl1max ! maximum pt for the leading lepton in pt 
 -1  = ptl2max ! maximum pt for the second lepton in pt
 -1  = ptl3max ! maximum pt for the third lepton in pt
 -1  = ptl4max ! maximum pt for the fourth lepton in pt
#*********************************************************************
# Control the Ht(k)=Sum of k leading jets                            *
#*********************************************************************
 0   = htjmin ! minimum jet HT=Sum(jet pt)
 -1  = htjmax ! maximum jet HT=Sum(jet pt)
 0   = ihtmin  !inclusive Ht for all partons (including b)
 -1  = ihtmax  !inclusive Ht for all partons (including b)
 0   = ht2min ! minimum Ht for the two leading jets
 0   = ht3min ! minimum Ht for the three leading jets
 0   = ht4min ! minimum Ht for the four leading jets
 -1  = ht2max ! maximum Ht for the two leading jets
 -1  = ht3max ! maximum Ht for the three leading jets
 -1  = ht4max ! maximum Ht for the four leading jets
#*********************************************************************
# WBF cuts                                                           *
#*********************************************************************
 0   = xetamin ! minimum rapidity for two jets in the WBF case  
 0   = deltaeta ! minimum rapidity for two jets in the WBF case 
#*********************************************************************
# maximal pdg code for quark to be considered as a light jet         *
# (otherwise b cuts are applied)                                     *
#*********************************************************************
 4 = maxjetflavor    ! Maximum jet pdg code
#*********************************************************************
# Jet measure cuts                                                   *
#*********************************************************************
 2.0 = xqcut   ! minimum kt jet measure between partons
#*********************************************************************
 0d0 = kt_durham    ! minimum durham kt jet measure between partons
 0.4 = d_parameter  ! D parameter for hadronic kT
 F   = do_kt_durham        ! T: enable durham kt cut
 15  = pt_pythia    ! minimum pythia pt jet measure between partons
 1   = njets_requested  ! number of jets above the pythia pt cut
 T   = do_pt_pythia        ! T: enable pythia pt cut
#*********************************************************************


#  Number of Events        :        1000
#  Integrated weight (pb)  :  .26047E+04
#  Truncated wgt (pb)      :  .00000E+00
#  Unit wgt                :  .26047E+01


      

     2212     2212  0.35000000000E+04  0.35000000000E+04 0 0 10042 10042 3  2
  0.15649058999E+04  0.10774761934E+02  0.26047000000E+01   1
  0.10268215668E+04  0.70699189845E+01  0.26047000000E+01   2


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.18711944392E+03  0.18711944392E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18597796174E+02  0.18597796174E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.20149630280E+02 -0.22721590754E+02  0.11830625741E+03  0.14703279826E+03  0.81853496781E+02 0.  0.
      -11    1    3    3    0    0  0.13660694114E+02 -0.44055017310E+02  0.51127680594E+02  0.68858542221E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33810324394E+02  0.21333426557E+02  0.67178576820E+02  0.78174256043E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.20149630280E+02  0.22721590754E+02  0.50215390335E+02  0.58684441834E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.50157258785E+03  0.50157258785E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.66687381723E+01  0.66687381723E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.16989567499E+02 -0.17668211931E+02  0.33774446101E+03  0.34918195169E+03  0.85181590302E+02 0.  0.
       11    1    3    3    0    0  0.54421003970E+01 -0.38222586075E+02  0.31157880169E+03  0.31396167315E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.11547467102E+02  0.20554374144E+02  0.26165659319E+02  0.35220278541E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.16989567499E+02  0.17668211931E+02  0.15715938867E+03  0.15905937433E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13080978435E+04  0.13080978435E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.33287042933E+01  0.33287042933E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.73972896643E+01  0.18381896663E+02  0.12546502743E+04  0.12575329987E+04  0.82760605830E+02 0.  0.
       11    1    3    3    0    0 -0.18978634385E+00 -0.19151634656E+02  0.98408997145E+03  0.98427632961E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.75870760082E+01  0.37533531319E+02  0.27056030286E+03  0.27325666905E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.73972896643E+01 -0.18381896663E+02  0.50118864874E+02  0.53893549109E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.24013555410E+03  0.24013555410E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11753668044E+02  0.11753668044E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.17049509757E+02 -0.10774621976E+02  0.16520051350E+03  0.18556679683E+03  0.82079523409E+02 0.  0.
       11    1    3    3    0    0 -0.30433597000E+02  0.82561309662E+01  0.82532844833E+02  0.88351785501E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.47483106756E+02 -0.19030752942E+02  0.82667668671E+02  0.97215011332E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.17049509757E+02  0.10774621976E+02  0.63181372549E+02  0.66322425308E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.69990821677E+02  0.69990821677E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.34481672628E+02  0.34481672628E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.14328544396E+02  0.57018613517E+01  0.32119743419E+02  0.88683052329E+02  0.81210759421E+02 0.  0.
      -11    1    3    3    0    0 -0.25669579119E+02 -0.85616608125E+01  0.53884257676E+02  0.60297118947E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11341034723E+02  0.14263522164E+02 -0.21764514257E+02  0.28385933382E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.14328544396E+02 -0.57018613517E+01  0.33894056290E+01  0.15789441976E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.98128962049E+01  0.98128962049E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10737474277E+04  0.10737474277E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.20265182728E+02 -0.78878866688E+02 -0.44455629128E+03  0.45885082526E+03  0.79254214316E+02 0.  0.
      -11    1    3    3    0    0 -0.16043041007E+02 -0.91975595412E+02 -0.42369586730E+03  0.43386066575E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.42221417211E+01  0.13096728724E+02 -0.20860423983E+02  0.24990159518E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.20265182728E+02  0.78878866688E+02 -0.61937824016E+03  0.62470949859E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12917414194E+02  0.12917414194E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.24745109320E+03  0.24745109320E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.58168744876E+01 -0.23097485672E+02 -0.20770541054E+03  0.22449252849E+03  0.81780363839E+02 0.  0.
      -11    1    3    3    0    0 -0.15477434263E+02 -0.22690915508E+02 -0.21210037008E+03  0.21387144645E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.96605597751E+01 -0.40657016335E+00  0.43949595410E+01  0.10621082046E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.58168744876E+01  0.23097485672E+02 -0.26828268470E+02  0.35875978903E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.27414771373E+03  0.27414771373E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.35825361410E+02  0.35825361410E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.69133714793E+02 -0.44491818647E+02  0.14899330882E+03  0.18857014906E+03  0.81244708116E+02 0.  0.
      -11    1    3    3    0    0 -0.26692522965E+01 -0.47328934252E+02  0.46670081422E+02  0.66522548246E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.66464462496E+02  0.28371156045E+01  0.10232322740E+03  0.12204760082E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.69133714793E+02  0.44491818647E+02  0.89329043502E+02  0.12140292608E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.25565885261E+03  0.25565885261E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15260684719E+02  0.15260684719E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.37367006472E+01  0.15957016783E+02  0.10163338054E+03  0.13119031517E+03  0.81320141652E+02 0.  0.
      -11    1    3    3    0    0 -0.14958494794E+02  0.45489925832E+02  0.55302290532E+02  0.73153491077E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.18695195441E+02 -0.29532909050E+02  0.46331090011E+02  0.58036824096E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.37367006472E+01 -0.15957016783E+02  0.13876478735E+03  0.13972922215E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.67580716461E+01  0.67580716461E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.44933754807E+03  0.44933754807E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.24807302636E+02  0.15401747371E+02 -0.30108850856E+03  0.31162309612E+03  0.74846830023E+02 0.  0.
       11    1    3    3    0    0 -0.37961929582E+02  0.36600999186E+02 -0.16358014458E+03  0.17186973247E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.13154626946E+02 -0.21199251815E+02 -0.13750836398E+03  0.13975336365E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.24807302636E+02 -0.15401747371E+02 -0.14149096786E+03  0.14447252359E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12256039475E+03  0.12256039475E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21411235612E+02  0.21411235612E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.89853333776E+01 -0.14255656536E+02  0.71352399239E+02  0.10973996578E+03  0.81656201566E+02 0.  0.
      -11    1    3    3    0    0 -0.13600733086E+02 -0.30215071261E+02 -0.32649657948E+01  0.33295502300E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.46153997085E+01  0.15959414726E+02  0.74617365033E+02  0.76444463484E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.89853333776E+01  0.14255656536E+02  0.29796759895E+02  0.34231664573E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.13189999028E+03  0.13189999028E+03  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.20110972520E+02  0.20110972520E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.21190815157E+01 -0.18484667901E+02  0.81121184190E+02  0.11614050880E+03  0.81004924586E+02 0.  0.
      -11    1    3    3    0    0  0.50695998659E+01 -0.44423831789E+02  0.77921939708E+02  0.89838779831E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29505183503E+01  0.25939163889E+02  0.31992444817E+01  0.26301728974E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.21190815157E+01  0.18484667901E+02  0.30667833566E+02  0.35870453991E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21724126361E+03  0.21724126361E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.21090742780E+02  0.21090742780E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.39868665433E+02  0.98857779297E+01  0.10137767387E+03  0.13504051782E+03  0.79191348056E+02 0.  0.
       11    1    3    3    0    0  0.64731577559E+01  0.20697107238E+01  0.10050185380E+03  0.10073136598E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.33395507677E+02  0.78160672059E+01  0.87582006230E+00  0.34309151845E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.39868665433E+02 -0.98857779297E+01  0.94772846962E+02  0.10329148857E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14455436628E+02  0.14455436628E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.58557880870E+03  0.58557880870E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.45438068499E+02  0.37347543038E+02 -0.48980098367E+03  0.49967096571E+03  0.79414188484E+02 0.  0.
      -11    1    3    3    0    0 -0.51108710004E+02  0.17693931803E+02 -0.15352028113E+03  0.16276870762E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.56706415053E+01  0.19653611236E+02 -0.33628070254E+03  0.33690225809E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.45438068499E+02 -0.37347543038E+02 -0.81322388408E+02  0.10036327962E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.44303033160E+03  0.44303033160E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.10537933726E+02  0.10537933726E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.26121726822E+02 -0.32953716025E+01  0.41098037866E+03  0.41956869096E+03  0.80248431196E+02 0.  0.
      -11    1    3    3    0    0 -0.14596668774E+02  0.25463643073E+02  0.88044190768E+02  0.92807539488E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40718395596E+02 -0.28759014676E+02  0.32293618789E+03  0.32676115147E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.26121726822E+02  0.32953716025E+01  0.21512019222E+02  0.33999574368E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.47757625274E+02  0.47757625274E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.59975113593E+02  0.59975113593E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.83232499862E+01 -0.11027771985E+02  0.31610016823E+01  0.87059417894E+02  0.85897974756E+02 0.  0.
      -11    1    3    3    0    0  0.22712838134E+01 -0.28038343234E+02  0.37753632852E+02  0.47081251205E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10594533800E+02  0.17010571249E+02 -0.34592631170E+02  0.39978166690E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.83232499862E+01  0.11027771985E+02 -0.15378490001E+02  0.20673320972E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.36786868800E+02  0.36786868800E+02  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.33167811894E+03  0.33167811894E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.14472473570E+02 -0.10496167533E+02 -0.32379455805E+03  0.33447935501E+03  0.81938398120E+02 0.  0.
      -11    1    3    3    0    0  0.20477418396E+02 -0.41669440005E+02 -0.24793699426E+03  0.25224674431E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.60049448258E+01  0.31173272472E+02 -0.75857563789E+02  0.82232610703E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.14472473570E+02  0.10496167533E+02  0.28903307904E+02  0.33985632727E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19447292733E+03  0.19447292733E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13905335539E+02  0.13905335539E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.18331704694E+02 -0.87497438973E+01  0.12830812049E+03  0.15230989606E+03  0.79515540875E+02 0.  0.
      -11    1    3    3    0    0 -0.14017857296E+02  0.40035746422E+01 -0.71130700705E+01  0.16221118917E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.43138473982E+01 -0.12753318540E+02  0.13542119056E+03  0.13608877715E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.18331704694E+02  0.87497438973E+01  0.52259471300E+02  0.56068366802E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.26683502447E+02  0.26683502447E+02  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11806368541E+03  0.11806368541E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.17356539542E+02  0.14533662502E+02 -0.48174616338E+02  0.95970166648E+02  0.79856135748E+02 0.  0.
      -11    1    3    3    0    0  0.14047146961E+02 -0.26851467021E+02 -0.45105099154E+02  0.54339613438E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33093925810E+01  0.41385129523E+02 -0.30695171841E+01  0.41630553211E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.17356539542E+02 -0.14533662502E+02 -0.43205566626E+02  0.48777021209E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.42465343910E+01  0.42465343910E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.53127192029E+03  0.53127192029E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.11234009142E+02 -0.29639110786E+01 -0.46451256166E+03  0.47193511627E+03  0.82558138849E+02 0.  0.
      -11    1    3    3    0    0 -0.44026989250E+02  0.12621350247E+02 -0.21764508735E+03  0.22241191136E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32792980108E+02 -0.15585261326E+02 -0.24686747431E+03  0.24952320491E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.11234009142E+02  0.29639110786E+01 -0.62512824237E+02  0.63583338418E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19414032938E+03  0.19414032938E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.27757950863E+02  0.27757950863E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.18795381300E+02 -0.25794498617E+02  0.16899754606E+03  0.18987545059E+03  0.80460509868E+02 0.  0.
       11    1    3    3    0    0 -0.31395378898E+02 -0.18775065120E+01  0.17514751960E+02  0.35999463650E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.12599997599E+02 -0.23916992105E+02  0.15148279410E+03  0.15387598694E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.18795381300E+02  0.25794498617E+02 -0.26151675435E+01  0.32022829644E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.15733460855E+04  0.15733460855E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.31543791878E+01  0.31543791878E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11242880918E+02 -0.22112849104E+02  0.14943743295E+04  0.14967279438E+04  0.80153106808E+02 0.  0.
      -11    1    3    3    0    0 -0.24411316272E+00 -0.47722455330E+02  0.59097200998E+03  0.59289578251E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10998767756E+02  0.25609606225E+02  0.90340231954E+03  0.90383216128E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.11242880918E+02  0.22112849104E+02  0.75817376837E+02  0.79772520941E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.39090936799E+02  0.39090936799E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.11442918639E+04  0.11442918639E+04  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.17834873544E+02 -0.22297365491E+02 -0.11372418891E+04  0.11404656890E+04  0.80793677128E+02 0.  0.
       11    1    3    3    0    0  0.19202834653E+02  0.27425112426E+02 -0.59726743989E+03  0.59820504879E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.13679611089E+01 -0.49722477917E+02 -0.53997444923E+03  0.54226064024E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.17834873544E+02  0.22297365491E+02  0.32040962050E+02  0.42917111637E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19938166181E+03  0.19938166181E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21130674779E+02  0.21130674779E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.20646440214E+02 -0.17048835235E+02  0.17363941950E+03  0.19334241146E+03  0.80707507637E+02 0.  0.
      -11    1    3    3    0    0 -0.59775410697E+01  0.27870164387E+02  0.34646618963E+02  0.44864967021E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.26623981284E+02 -0.44918999622E+02  0.13899280053E+03  0.14847744444E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.20646440214E+02  0.17048835235E+02  0.46115675314E+01  0.27169925128E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.14072911334E+02  0.14072911334E+02  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.19122650525E+03  0.19122650525E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.17727166178E+02  0.87999774516E+01 -0.14831840102E+03  0.17032570684E+03  0.81368337243E+02 0.  0.
      -11    1    3    3    0    0 -0.25706401298E+02  0.13659741283E+02 -0.86823690130E+01  0.30377477368E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.79792351193E+01 -0.48597638316E+01 -0.13963603201E+03  0.13994822947E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.17727166178E+02 -0.87999774516E+01 -0.28835192897E+02  0.34973709744E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.69145818445E+03  0.69145818445E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.40536745484E+02  0.40536745484E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.94947046419E+02 -0.12152492595E+03  0.26698387243E+03  0.31824222089E+03  0.78831933646E+02 0.  0.
      -11    1    3    3    0    0 -0.39232399592E+00 -0.42927759024E+02  0.33842882368E+02  0.54665227521E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.94554722423E+02 -0.78597166928E+02  0.23314099007E+03  0.26357699336E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.94947046419E+02  0.12152492595E+03  0.38393756653E+03  0.41375270905E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.57152516101E+02  0.57152516101E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.45668862418E+02  0.45668862418E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.14405771830E+02  0.27242711119E+01 -0.53040343197E+01  0.80532942424E+02  0.79009329324E+02 0.  0.
      -11    1    3    3    0    0 -0.40517162708E+01 -0.23672502806E+02 -0.33054414536E+02  0.40858268614E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10354055559E+02  0.26396773917E+02  0.27750380216E+02  0.39674673810E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.14405771830E+02 -0.27242711119E+01  0.16787688002E+02  0.22288436095E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.18066257799E+03  0.18066257799E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.30970939886E+02  0.30970939886E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.12386320405E+02  0.41332224180E+02  0.52723514018E+02  0.10549874140E+03  0.80550864786E+02 0.  0.
      -11    1    3    3    0    0  0.21537508019E+02 -0.13370773611E+02  0.24363777342E+02  0.35160140571E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33923828424E+02  0.54702997790E+02  0.28359736676E+02  0.70338600829E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.12386320405E+02 -0.41332224180E+02  0.96968124091E+02  0.10613477648E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10441189550E+03  0.10441189550E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.22961460018E+02  0.22961460018E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.13705183367E+02  0.67891076705E+01  0.61021828717E+02  0.10185371586E+03  0.80103631753E+02 0.  0.
       11    1    3    3    0    0  0.15282395446E+01  0.11633444706E+02 -0.18145727376E+02  0.21608793901E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.12176943823E+02 -0.48443370352E+01  0.79167556093E+02  0.80244921957E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502 -0.13705183367E+02 -0.67891076705E+01  0.20428606767E+02  0.25519639663E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11267248152E+02  0.11267248152E+02  0.00000000000E+00 0.  1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.50921819145E+03  0.50921819145E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.12437675879E+02  0.23431203523E+02 -0.48206167298E+03  0.48956318239E+03  0.81147618072E+02 0.  0.
       11    1    3    3    0    0 -0.96291704524E+01 -0.25250341159E+02 -0.77563853590E+02  0.82136788566E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.28085054265E+01  0.48681544682E+02 -0.40449781939E+03  0.40742639382E+03  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.12437675879E+02 -0.23431203523E+02 -0.15889270321E+02  0.30922257213E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.81661176139E+02  0.81661176139E+02  0.00000000000E+00 0. -1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.53636914832E+02  0.53636914832E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.36714696739E+02 -0.11707165432E+02 -0.11798548588E+01  0.86946182218E+02  0.77930865937E+02 0.  0.
       11    1    3    3    0    0  0.39820689759E+02 -0.20851955601E+01 -0.34125384471E+02  0.52484066522E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.31059930200E+01 -0.96219698715E+01  0.32945529612E+02  0.34462115696E+02  0.00000000000E+00 0.  1.
        4    1    1    2  501    0 -0.36714696739E+02  0.11707165432E+02  0.29204116165E+02  0.48351908753E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.76267176758E+03  0.76267176758E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.11350672809E+02  0.11350672809E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.24897599677E+01  0.21144042860E+02  0.13294752785E+03  0.15528248070E+03  0.77358478506E+02 0.  0.
       11    1    3    3    0    0  0.24612651720E+02 -0.52230426141E+01  0.10736793558E+02  0.27355831823E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.27102411688E+02  0.26367085474E+02  0.12221073430E+03  0.12792664888E+03  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502  0.24897599677E+01 -0.21144042860E+02  0.61837356692E+03  0.61873995969E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.36764443898E+03  0.36764443898E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10061273778E+02  0.10061273778E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.18437347863E+01  0.21308160794E+02  0.17775516582E+03  0.19661030576E+03  0.81248238629E+02 0.  0.
      -11    1    3    3    0    0 -0.30437228667E+02  0.22261928571E+02  0.39407600065E+02  0.54543352441E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32280963454E+02 -0.95376777730E+00  0.13834756576E+03  0.14206695332E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.18437347863E+01 -0.21308160794E+02  0.17982799938E+03  0.18109540700E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.35033683872E+02  0.35033683872E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.99134297494E+02  0.99134297494E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.23183287110E+02 -0.64588056947E+01 -0.20282978403E+02  0.84176320778E+02  0.78070947186E+02 0.  0.
       11    1    3    3    0    0  0.27213467626E+02  0.90344749027E+01 -0.10597243012E+02  0.30569529215E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.50396754736E+02 -0.15493280597E+02 -0.96857353909E+01  0.53606791563E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.23183287110E+02  0.64588056947E+01 -0.43817635219E+02  0.49991660589E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10162953262E+04  0.10162953262E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.61202311397E+01  0.61202311397E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11843199102E+02 -0.29137125600E+02  0.35375513383E+03  0.36524252156E+03  0.85265300046E+02 0.  0.
      -11    1    3    3    0    0 -0.43118288214E+02 -0.32040838897E+02  0.15556925170E+03  0.16458309212E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.31275089112E+02  0.29037132970E+01  0.19818588213E+03  0.20065942944E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.11843199102E+02  0.29137125600E+02  0.65641996122E+03  0.65717303577E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.60784783968E+03  0.60784783968E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.47916531968E+01  0.47916531968E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.17113724412E+02  0.37360206315E+01  0.43546720917E+03  0.44413755600E+03  0.85554900365E+02 0.  0.
       11    1    3    3    0    0  0.45672684158E+02  0.14079937434E+02  0.35363381955E+03  0.35684887143E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.28558959746E+02 -0.10343916803E+02  0.81833389626E+02  0.87288684572E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.17113724412E+02 -0.37360206315E+01  0.16758897732E+03  0.16850193688E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.57942805571E+03  0.57942805571E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.81638903924E+01  0.81638903924E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.31552322003E+02 -0.15524065103E+02  0.24108132464E+03  0.25554186871E+03  0.77103151366E+02 0.  0.
      -11    1    3    3    0    0 -0.45857084281E+01 -0.15419712119E+02  0.51976000573E+01  0.16905954276E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36138030431E+02 -0.10435298393E+00  0.23588372459E+03  0.23863591443E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.31552322003E+02  0.15524065103E+02  0.33018284067E+03  0.33205007739E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19372905338E+02  0.19372905338E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.18135996790E+03  0.18135996790E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.41209583018E+01  0.16552468422E+02 -0.68742094144E+02  0.10594051783E+03  0.78784207192E+02 0.  0.
      -11    1    3    3    0    0  0.28292147083E+02  0.37762506195E+02 -0.31488207464E+02  0.56727062941E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24171188781E+02 -0.21210037772E+02 -0.37253886681E+02  0.49213454890E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.41209583018E+01 -0.16552468422E+02 -0.93244968423E+02  0.94792355411E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.61678322691E+03  0.61678322691E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.65010643658E+01  0.65010643658E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.14111279697E+02 -0.67937799032E+01  0.59815436449E+03  0.60347603175E+03  0.78418068514E+02 0.  0.
      -11    1    3    3    0    0 -0.13270884480E+01 -0.39662285836E+02  0.40485044570E+03  0.40679078340E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15438368145E+02  0.32868505933E+02  0.19330391880E+03  0.19668524834E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14111279697E+02  0.67937799032E+01  0.12127798053E+02  0.19808259532E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.20786495516E+02  0.20786495516E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18866240748E+03  0.18866240748E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.17499521622E+02  0.15149265666E+02 -0.74025541680E+02  0.11278647229E+03  0.81885737488E+02 0.  0.
      -11    1    3    3    0    0 -0.46219463738E+01  0.18748396604E+02 -0.85467991980E+02  0.87622157109E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22121467996E+02 -0.35991309376E+01  0.11442450299E+02  0.25164315183E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.17499521622E+02 -0.15149265666E+02 -0.93850370281E+02  0.96662430701E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.25389885063E+01  0.25389885063E+01  0.00000000000E+00 0.  1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13075836307E+04  0.13075836307E+04  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.13235239812E+01 -0.23168139210E+02 -0.78295114024E+03  0.78751364572E+03  0.81404789759E+02 0.  0.
       11    1    3    3    0    0  0.39567305263E+02 -0.24093753949E+02 -0.41317561199E+03  0.41576455714E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.38243781282E+02  0.92561473914E+00 -0.36977552825E+03  0.37174908858E+03  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502 -0.13235239812E+01  0.23168139210E+02 -0.52209350190E+03  0.52260897344E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12103838222E+03  0.12103838222E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.55498446591E+02  0.55498446591E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.40845200463E+01 -0.16916581945E+02 -0.22211973641E+02  0.87075934396E+02  0.82377135962E+02 0.  0.
       11    1    3    3    0    0  0.21561634539E+01  0.32181778667E+02 -0.19099556124E+02  0.37484783088E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.62406835002E+01 -0.49098360612E+02 -0.31124175178E+01  0.49591151309E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.40845200463E+01  0.16916581945E+02  0.87751909276E+02  0.89460894419E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.60510439724E+03  0.60510439724E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15913033548E+02  0.15913033548E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.72947258391E+02  0.38375093866E+02  0.34484195151E+03  0.36314035625E+03  0.78492015413E+02 0.  0.
      -11    1    3    3    0    0 -0.23537139135E+01  0.14466331400E+02  0.71089926780E+01  0.16289643651E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.75300972304E+02  0.23908762466E+02  0.33773295883E+03  0.34685071260E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.72947258391E+02 -0.38375093866E+02  0.24434941218E+03  0.25787707453E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.21131917629E+02  0.21131917629E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.24233661270E+03  0.24233661270E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.23812175674E+02  0.79331551812E+01 -0.22303948774E+03  0.23830265809E+03  0.80072399124E+02 0.  0.
      -11    1    3    3    0    0  0.87234494056E+01  0.34999134884E+02 -0.45418841869E+02  0.57999217312E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15088726269E+02 -0.27065979703E+02 -0.17762064587E+03  0.18030344078E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.23812175674E+02 -0.79331551812E+01  0.18347926653E+01  0.25165872240E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.73486733004E+02  0.73486733004E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.16046405042E+03  0.16046405042E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.33607887850E+02  0.26951268042E+02 -0.13835827023E+03  0.16689958443E+03  0.82804585415E+02 0.  0.
       11    1    3    3    0    0 -0.17679429467E+02 -0.89108565127E+01 -0.76065172322E+02  0.78599465841E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.51287317318E+02  0.35862124555E+02 -0.62293097911E+02  0.88300118588E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.33607887850E+02 -0.26951268042E+02  0.51380952815E+02  0.67051198998E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.22797008477E+02  0.22797008477E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.18980715534E+03  0.18980715534E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.14137823525E+02  0.23670863407E+02 -0.16130618388E+03  0.18444882645E+03  0.85096984630E+02 0.  0.
       11    1    3    3    0    0  0.33124924722E+02  0.39986803958E+02 -0.56678366610E+02  0.76867693931E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.18987101197E+02 -0.16315940551E+02 -0.10462781727E+03  0.10758113252E+03  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502 -0.14137823525E+02 -0.23670863407E+02 -0.57039629843E+01  0.28155337366E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.25437763479E+03  0.25437763479E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.13420583704E+02  0.13420583704E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.24591043853E+02  0.51859386181E+01  0.13919763762E+03  0.16298127509E+03  0.80964809096E+02 0.  0.
       11    1    3    3    0    0 -0.29450653234E+02  0.33726121274E+02  0.41375436242E+02  0.60964899380E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.48596093813E+01 -0.28540182656E+02  0.97822201383E+02  0.10201637571E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.24591043853E+02 -0.51859386181E+01  0.10175941346E+03  0.10481694341E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.17314280359E+04  0.17314280359E+04  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.54842397263E+01  0.54842397263E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.75242754553E+02  0.15862551427E+02  0.12214476830E+04  0.12265894162E+04  0.81694926183E+02 0.  0.
       11    1    3    3    0    0  0.57424553115E+01 -0.19791793593E+02  0.58549121405E+03  0.58585378092E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.69500299242E+02  0.35654345020E+02  0.63595646895E+03  0.64073563528E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.75242754553E+02 -0.15862551427E+02  0.50449611312E+03  0.51032285938E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.42658771261E+03  0.42658771261E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.77177930230E+01  0.77177930230E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.15900493337E+02  0.81587747535E+01  0.25709145716E+03  0.27154291104E+03  0.85557839483E+02 0.  0.
       11    1    3    3    0    0 -0.40816811062E+01  0.94100469214E+01  0.25013840945E+03  0.25034862290E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.19982174443E+02 -0.12512721678E+01  0.69530477134E+01  0.21194288146E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.15900493337E+02 -0.81587747535E+01  0.16177846243E+03  0.16276259459E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.19095051150E+02  0.19095051150E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.90653998434E+03  0.90653998434E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.37248738866E+02  0.73238622244E+02 -0.17832578126E+03  0.21177136785E+03  0.79345218162E+02 0.  0.
       11    1    3    3    0    0  0.33773432440E+02  0.71553768139E+01 -0.19357739466E+02  0.39579871568E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.34753064265E+01  0.66083245430E+02 -0.15896804179E+03  0.17219149628E+03  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502 -0.37248738866E+02 -0.73238622244E+02 -0.70911915193E+03  0.71386366764E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12261381035E+04  0.12261381035E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.35616361931E+01  0.35616361931E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.21112725248E+02 -0.34592656192E+02  0.88230963934E+03  0.88702801158E+03  0.81890137594E+02 0.  0.
      -11    1    3    3    0    0  0.14812159862E+02  0.19997625336E+02  0.11064120867E+03  0.11340538856E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.63005653867E+01 -0.54590281529E+02  0.77166843067E+03  0.77362262302E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.21112725248E+02  0.34592656192E+02  0.34026682801E+03  0.34267172815E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.94236014509E+03  0.94236014509E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.48148398616E+01  0.48148398616E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.27494980082E+02  0.11764233540E+02  0.41455600470E+03  0.42333132546E+03  0.80363915807E+02 0.  0.
      -11    1    3    3    0    0  0.50711962642E+01  0.34298265892E+01 -0.11830723766E+01  0.62354151611E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.32566176347E+02  0.83344069511E+01  0.41573907708E+03  0.41709591030E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.27494980082E+02 -0.11764233540E+02  0.52298930053E+03  0.52384365949E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14496593708E+04  0.14496593708E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15466722375E+01  0.15466722375E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.10015602945E+02  0.88012217356E+01  0.12634412573E+04  0.12660539028E+04  0.80192895013E+02 0.  0.
      -11    1    3    3    0    0 -0.69593309606E+01  0.57015345492E+01  0.14232571502E+02  0.16837632707E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.30562719840E+01  0.30996871864E+01  0.12492086858E+04  0.12492162701E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.10015602945E+02 -0.88012217356E+01  0.18467144127E+03  0.18515214022E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20256963752E+02  0.20256963752E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.21018819350E+03  0.21018819350E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.73647495792E+01  0.24466369850E+02 -0.18609339914E+03  0.20460774767E+03  0.81121725908E+02 0.  0.
      -11    1    3    3    0    0 -0.96107009179E+01  0.38689887961E+02 -0.38702179498E+02  0.55561962713E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16975450497E+02 -0.14223518111E+02 -0.14739121964E+03  0.14904578496E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.73647495792E+01 -0.24466369850E+02 -0.38378306098E+01  0.25837409580E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10619796015E+02  0.10619796015E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.25588146181E+03  0.25588146181E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.20188417028E+02 -0.14022664415E+01 -0.18502180403E+03  0.20295301254E+03  0.80915504075E+02 0.  0.
      -11    1    3    3    0    0  0.26326152784E+01  0.21317783718E+02 -0.78355942171E+01  0.22864275684E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22821032306E+02 -0.22720050159E+02 -0.17718620981E+03  0.18008873685E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.20188417028E+02  0.14022664415E+01 -0.60239861763E+02  0.63548245283E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.24303359836E+02  0.24303359836E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.28591167169E+03  0.28591167169E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.96073261724E+01 -0.23441426357E+02 -0.27048577720E+03  0.28337084078E+03  0.80589556066E+02 0.  0.
      -11    1    3    3    0    0  0.11875217353E+02  0.26922828033E+02 -0.83498867488E+02  0.88532029957E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21482543525E+02 -0.50364254390E+02 -0.18698690972E+03  0.19483881082E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.96073261724E+01  0.23441426357E+02  0.88774653517E+01  0.26844190748E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.44819780950E+02  0.44819780950E+02  0.00000000000E+00 0. -1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.19900101498E+03  0.19900101498E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.20095446906E+02  0.62255697707E+02 -0.14479105644E+03  0.17773165675E+03  0.79652325148E+02 0.  0.
      -11    1    3    3    0    0  0.18983435700E+02  0.22323697487E+02 -0.86226002731E+01  0.30546154192E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39078882606E+02  0.39932000220E+02 -0.13616845617E+03  0.14718550255E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.20095446906E+02 -0.62255697707E+02 -0.93901775947E+01  0.66089139188E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10699867359E+04  0.10699867359E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47664065806E+01  0.47664065806E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.35610251359E+02  0.43347907150E+01  0.95300104815E+03  0.95693952918E+03  0.78964449712E+02 0.  0.
      -11    1    3    3    0    0 -0.94398990038E+00  0.38000792166E+02  0.37481610158E+03  0.37673871758E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34666261459E+02 -0.33666001451E+02  0.57818494657E+03  0.58020081160E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.35610251359E+02 -0.43347907150E+01  0.11221928112E+03  0.11781361325E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.16355292608E+03  0.16355292608E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.22203270090E+02  0.22203270090E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.16774604586E+02 -0.15038557210E+02  0.14041459584E+03  0.16320802774E+03  0.80081558630E+02 0.  0.
      -11    1    3    3    0    0  0.35453582563E-01 -0.30065894047E+01 -0.10480596042E+02  0.10903381595E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16810058168E+02 -0.12031967805E+02  0.15089519188E+03  0.15230464615E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.16774604586E+02  0.15038557210E+02  0.93506014994E+00  0.22548168428E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13120141509E+02  0.13120141509E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.31805255981E+03  0.31805255981E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.55981515244E+01  0.35405621561E+02 -0.25593942799E+03  0.27046676719E+03  0.79764553639E+02 0.  0.
      -11    1    3    3    0    0  0.16362133955E+02  0.11307315267E+00 -0.21392726554E+03  0.21455210825E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.10763982430E+02  0.35292548408E+02 -0.42012162448E+02  0.55914658941E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.55981515244E+01 -0.35405621561E+02 -0.48992990315E+02  0.60705934130E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.20305382317E+02  0.20305382317E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10371176069E+03  0.10371176069E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.11728076884E+01 -0.14437799371E+02 -0.71380525249E+02  0.10519038885E+03  0.75894749448E+02 0.  0.
      -11    1    3    3    0    0  0.28883072454E+02  0.59523496838E+01 -0.42998868835E+01  0.29801868538E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.27710264766E+02 -0.20390149055E+02 -0.67080638365E+02  0.75388520315E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.11728076884E+01  0.14437799371E+02 -0.12025853120E+02  0.18826754150E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.46183454467E+01  0.46183454467E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.77352770711E+03  0.77352770711E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.10486431081E+02 -0.10837315455E+02 -0.74354035334E+03  0.74863335654E+03  0.85861707589E+02 0.  0.
      -11    1    3    3    0    0 -0.12108530164E+02 -0.43366257771E+02 -0.25019183572E+03  0.25421094288E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.16220990832E+01  0.32528942316E+02 -0.49334851762E+03  0.49442241366E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.10486431081E+02  0.10837315455E+02 -0.25369008320E+02  0.29512696017E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12437877704E+03  0.12437877704E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21995747378E+02  0.21995747378E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.16135499992E+02 -0.11724131125E+02  0.94332209439E+02  0.12486579789E+03  0.79341616664E+02 0.  0.
       11    1    3    3    0    0 -0.56285812245E+01 -0.20746742410E+02  0.10512957716E+03  0.10730487519E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.10506918768E+02  0.90226112855E+01 -0.10797367717E+02  0.17560922698E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.16135499992E+02  0.11724131125E+02  0.80508202265E+01  0.21508726530E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12008201029E+02  0.12008201029E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.29227442468E+03  0.29227442468E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.23871987514E+02  0.10335370098E+02 -0.15955243929E+03  0.18079777077E+03  0.80957775236E+02 0.  0.
      -11    1    3    3    0    0 -0.92845595637E+00  0.20875192401E+02 -0.20380566629E+01  0.20994984239E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24800443470E+02 -0.10539822303E+02 -0.15751438263E+03  0.15980278653E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.23871987514E+02 -0.10335370098E+02 -0.12071378436E+03  0.12348485493E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.21918524467E+02  0.21918524467E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.14260175864E+04  0.14260175864E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.30547882072E+02  0.18608548281E+02 -0.65956853419E+02  0.10931591777E+03  0.79499762240E+02 0.  0.
      -11    1    3    3    0    0  0.56699236057E+02  0.20691937598E+02 -0.39983741943E+02  0.72399304352E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.26151353985E+02 -0.20833893165E+01 -0.25973111477E+02  0.36916613416E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.30547882072E+02 -0.18608548281E+02 -0.13381422085E+04  0.13386201931E+04  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10371270599E+04  0.10371270599E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.61985467262E+01  0.61985467262E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.20457268044E+02 -0.44283076048E+02  0.41756357250E+03  0.42802402115E+03  0.80409793953E+02 0.  0.
      -11    1    3    3    0    0  0.18543729544E+02 -0.16299420086E+02  0.30034043843E+03  0.30135348008E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39000997589E+02 -0.27983655962E+02  0.11722313407E+03  0.12667054107E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.20457268044E+02  0.44283076048E+02  0.61336494071E+03  0.61530158551E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.13012100453E+03  0.13012100453E+03  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.70642169176E+02  0.70642169176E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.36845030132E+02  0.67880128319E+02  0.51889777891E+02  0.12315607442E+03  0.80682101801E+02 0.  0.
       11    1    3    3    0    0  0.82469149124E+01  0.42995950412E+02  0.68878683551E+02  0.81614560007E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.28598115220E+02  0.24884177907E+02 -0.16988905660E+02  0.41541514413E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.36845030132E+02 -0.67880128319E+02  0.75890574601E+01  0.77607099283E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.16352299356E+03  0.16352299356E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.58665969850E+02  0.58665969850E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.11876931009E+02 -0.27422449904E+02 -0.26555572298E+02  0.87421301716E+02  0.77744667500E+02 0.  0.
       11    1    3    3    0    0 -0.39903677458E+01 -0.50667217237E+02 -0.30078369340E+02  0.59057584098E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.15867298755E+02  0.23244767333E+02  0.35227970423E+01  0.28363717618E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.11876931009E+02  0.27422449904E+02  0.13141259601E+03  0.13476766169E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21620193799E+02  0.21620193799E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.99903734948E+02  0.99903734948E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.11375346884E+02  0.35783627285E+01 -0.69742763339E+02  0.10685600176E+03  0.80074645656E+02 0.  0.
       11    1    3    3    0    0 -0.36022263705E+01  0.90230755847E+00  0.18177141066E+02  0.18552591493E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.77731205133E+01  0.26760551701E+01 -0.87919904406E+02  0.88303410265E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.11375346884E+02 -0.35783627285E+01 -0.85407778106E+01  0.14667926989E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.12074679794E+04  0.12074679794E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.23015944740E+01  0.23015944740E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.14017272490E+02  0.20950051649E+02  0.97555168086E+03  0.97877541613E+03  0.75265161826E+02 0.  0.
      -11    1    3    3    0    0 -0.28835927032E+02  0.42596189953E+02  0.73495498659E+03  0.73675286114E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.14818654542E+02 -0.21646138305E+02  0.24059669428E+03  0.24202255499E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.14017272490E+02 -0.20950051649E+02  0.22961470410E+03  0.23099415779E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.14952852652E+02  0.14952852652E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.19352744167E+03  0.19352744167E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.11957888783E+02  0.18989094688E+02 -0.13733309279E+03  0.16152885310E+03  0.82022040872E+02 0.  0.
       11    1    3    3    0    0 -0.43696715218E+02  0.20232875363E+02 -0.10818767420E+03  0.11842020526E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.31738826435E+02 -0.12437806748E+01 -0.29145418593E+02  0.43108647842E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.11957888783E+02 -0.18989094688E+02 -0.41241496229E+02  0.46951441218E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10601695036E+02  0.10601695036E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.45140062681E+03  0.45140062681E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.94180690741E+01 -0.27667585872E+02 -0.41238727456E+03  0.42124183119E+03  0.80791217286E+02 0.  0.
       11    1    3    3    0    0  0.25216150176E+02  0.22201126820E+02 -0.15863697116E+03  0.16215558233E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.15798081102E+02 -0.49868712692E+02 -0.25375030340E+03  0.25908624886E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.94180690741E+01  0.27667585872E+02 -0.28411657215E+02  0.40760490659E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.30502782964E+03  0.30502782964E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.80804735100E+01  0.80804735100E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.59783562846E+01 -0.13645605861E+02  0.24639888968E+03  0.26041019348E+03  0.82940416720E+02 0.  0.
      -11    1    3    3    0    0 -0.37749052381E+02  0.16285696263E+01  0.10263795752E+03  0.10937181318E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.43727408666E+02 -0.15274175487E+02  0.14376093216E+03  0.15103838029E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.59783562846E+01  0.13645605861E+02  0.50548466452E+02  0.52698109679E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.24202234132E+03  0.24202234132E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.12190734671E+02  0.12190734671E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.18590444565E+02 -0.19689816786E+02  0.19889489079E+03  0.21309891903E+03  0.71544938302E+02 0.  0.
       11    1    3    3    0    0 -0.29717430761E+02 -0.24910708394E+02  0.19685739208E+03  0.20064023001E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.11126986196E+02  0.52208916079E+01  0.20374987055E+01  0.12458689015E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.18590444565E+02  0.19689816786E+02  0.30936715859E+02  0.41114156958E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.24890653669E+02  0.24890653669E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10488765840E+03  0.10488765840E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.16165087523E+02 -0.99832103501E+00 -0.51246946723E+02  0.96780243414E+02  0.80485149359E+02 0.  0.
      -11    1    3    3    0    0  0.79428820289E+01  0.21230993140E+02 -0.65371038940E+02  0.69189718721E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.82222054939E+01 -0.22229314175E+02  0.14124092217E+02  0.27590524693E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.16165087523E+02  0.99832103501E+00 -0.28750058006E+02  0.32998068654E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11730913934E+02  0.11730913934E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.23478967332E+03  0.23478967332E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.17391121810E+02 -0.80579131997E+01 -0.17266955199E+03  0.19260905505E+03  0.83163049600E+02 0.  0.
       11    1    3    3    0    0 -0.44800010959E+02 -0.25125609309E+00 -0.14891534492E+03  0.15550846943E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27408889149E+02 -0.78066571066E+01 -0.23754207064E+02  0.37100585612E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.17391121810E+02  0.80579131997E+01 -0.50389207399E+02  0.53911532210E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.13057989123E+02  0.13057989123E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.37259900087E+03  0.37259900087E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.16664161415E+02 -0.18393817583E+02 -0.13180290346E+03  0.15657038461E+03  0.80785228692E+02 0.  0.
       11    1    3    3    0    0 -0.11846248158E+02 -0.49380816420E+02 -0.62702186200E+02  0.80686819122E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.48179132568E+01  0.30986998837E+02 -0.69100717257E+02  0.75883565483E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.16664161415E+02  0.18393817583E+02 -0.22773810829E+03  0.22908660538E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.56722408806E+02  0.56722408806E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.72195252860E+02  0.72195252860E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.27777475964E+02  0.25267657643E+02 -0.20265042893E+02  0.91062571342E+02  0.80446735436E+02 0.  0.
       11    1    3    3    0    0  0.50206589384E+02 -0.37571548598E+01 -0.27705290231E+01  0.50423146086E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22429113419E+02  0.29024812503E+02 -0.17494513870E+02  0.40639425256E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502 -0.27777475964E+02 -0.25267657643E+02  0.47921988385E+01  0.37855090324E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.87016746365E+02  0.87016746365E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.63475357587E+02  0.63475357587E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.26827854001E+01  0.51078353525E+02  0.12776435086E+02  0.98222803552E+02  0.82875124783E+02 0.  0.
       11    1    3    3    0    0  0.24998673847E+02 -0.20621530125E+01 -0.19854755182E+02  0.31990584123E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22315888447E+02  0.53140506537E+02  0.32631190267E+02  0.66232219429E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.26827854001E+01 -0.51078353525E+02  0.10764953693E+02  0.52269300400E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.18300503318E+01  0.18300503318E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.12651102776E+04  0.12651102776E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14309580976E+02  0.34029634566E+00 -0.11208298784E+04  0.11237726577E+04  0.80003062144E+02 0.  0.
      -11    1    3    3    0    0 -0.17706187516E+02 -0.14813150895E+02 -0.11369247429E+03  0.11601257357E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.32015768491E+02  0.15153447240E+02 -0.10071374041E+04  0.10077600841E+04  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.14309580976E+02 -0.34029634566E+00 -0.14245034890E+03  0.14316767027E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.13251690543E+03  0.13251690543E+03  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.29238405773E+02  0.29238405773E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.49845186057E+00  0.21896174472E+02  0.37888204104E+02  0.92794585689E+02  0.81826818417E+02 0.  0.
       11    1    3    3    0    0 -0.21814144922E+02 -0.24381072004E+02  0.21999477043E+02  0.39424238495E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.21315693061E+02  0.46277246476E+02  0.15888727061E+02  0.53370347195E+02  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502  0.49845186057E+00 -0.21896174472E+02  0.65390295554E+02  0.68960725514E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.92163850899E+02  0.92163850899E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.27583714339E+02  0.27583714339E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.16849526966E+02 -0.32285472120E+00  0.44285658560E+02  0.93368091562E+02  0.80451042092E+02 0.  0.
      -11    1    3    3    0    0 -0.77093815540E+01 -0.27790989354E+02 -0.75113883931E+01  0.29802593995E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24558908520E+02  0.27468134633E+02  0.51797046953E+02  0.63565497567E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.16849526966E+02  0.32285472120E+00  0.20294478000E+02  0.26379473676E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19152479646E+02  0.19152479646E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15349363758E+03  0.15349363758E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.12056856080E+02  0.13767889392E+02 -0.76697992171E+02  0.11216754982E+03  0.79775025364E+02 0.  0.
      -11    1    3    3    0    0  0.13485003228E+02  0.44471297438E+02 -0.63570770814E+02  0.78745060225E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.14281471476E+01 -0.30703408046E+02 -0.13127221356E+02  0.33422489591E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.12056856080E+02 -0.13767889392E+02 -0.57643165761E+02  0.60478567409E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14896653666E+04  0.14896653666E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.19637633589E+01  0.19637633589E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.21740284356E+02 -0.65515729303E+01  0.10820655665E+04  0.10853580907E+04  0.81367878673E+02 0.  0.
      -11    1    3    3    0    0  0.25001839862E+02 -0.18340138942E+02  0.62236111531E+03  0.62313306006E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.46742124219E+02  0.11788566012E+02  0.45970445120E+03  0.46222503061E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.21740284356E+02  0.65515729303E+01  0.40563603672E+03  0.40627103928E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.51738011492E+01  0.51738011492E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.66669011698E+03  0.66669011698E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.15607785307E+02  0.11136512417E+02 -0.34818254052E+03  0.35794405635E+03  0.80778964342E+02 0.  0.
       11    1    3    3    0    0 -0.29418203519E+01  0.25542842200E+02 -0.33157747233E+03  0.33257286608E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.12665964955E+02 -0.14406329783E+02 -0.16605068190E+02  0.25371190268E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.15607785307E+02 -0.11136512417E+02 -0.31333377531E+03  0.31391986178E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.19164954216E+03  0.19164954216E+03  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.24911422045E+02  0.24911422045E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.19036571709E+02 -0.23436165235E+01  0.53800560428E+02  0.10200627862E+03  0.84515661123E+02 0.  0.
      -11    1    3    3    0    0  0.22512585008E+02  0.38182388674E+02  0.37951894359E+02  0.58352871172E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.34760132993E+01 -0.40526005198E+02  0.15848666069E+02  0.43653407449E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.19036571709E+02  0.23436165235E+01  0.11293755969E+03  0.11455468558E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.32449377382E+03  0.32449377382E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.45738218825E+02  0.45738218825E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.43463947057E+02 -0.89661177020E+02  0.21940853844E+03  0.25425652225E+03  0.81105061566E+02 0.  0.
       11    1    3    3    0    0  0.42662018800E+02 -0.81948733239E+02  0.10611681800E+03  0.14069975760E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.80192825715E+00 -0.77124437807E+01  0.11329172044E+03  0.11355676465E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.43463947057E+02  0.89661177020E+02  0.59347016561E+02  0.11597547039E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14477040656E+03  0.14477040656E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.16943008570E+02  0.16943008570E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.59000822297E+01  0.15137227022E+02  0.11137980481E+03  0.13859480934E+03  0.80864786184E+02 0.  0.
       11    1    3    3    0    0 -0.81522497192E+01 -0.18800597784E+02  0.10096495434E+03  0.10302351022E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.22521674895E+01  0.33937824806E+02  0.10414850468E+02  0.35571299123E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.59000822297E+01 -0.15137227022E+02  0.16447593183E+02  0.23118605792E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.51678060583E+03  0.51678060583E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.41681801972E+02  0.41681801972E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.83672508436E+02 -0.91179323017E+01  0.45824851361E+03  0.47262443462E+03  0.79359502399E+02 0.  0.
       11    1    3    3    0    0 -0.15971324528E+02 -0.12389127747E+02  0.29729571721E+03  0.29798207524E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.67701183908E+02  0.32711954455E+01  0.16095279640E+03  0.17464235939E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.83672508436E+02  0.91179323017E+01  0.16850290244E+02  0.85837973174E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21767011494E+03  0.21767011494E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.43935725170E+02  0.43935725170E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.17374632473E+02 -0.20897519413E+02  0.20479905175E+03  0.22033118209E+03  0.76580637458E+02 0.  0.
      -11    1    3    3    0    0  0.21283975093E+02  0.22367439917E+02  0.43897019382E+02  0.53668037740E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.39093426197E+01 -0.43264959330E+02  0.16090203236E+03  0.16666314435E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.17374632473E+02  0.20897519413E+02 -0.31064661975E+02  0.41274658022E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19617569118E+02  0.19617569118E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.13526975518E+03  0.13526975518E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.12657677138E+02  0.15341073029E+02 -0.10082804096E+03  0.13008166789E+03  0.79745728181E+02 0.  0.
      -11    1    3    3    0    0  0.28781422485E+02 -0.46197434523E+01 -0.10026458697E+03  0.10441599355E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.16123745347E+02  0.19960816482E+02 -0.56345399812E+00  0.25665674335E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.12657677138E+02 -0.15341073029E+02 -0.14824145099E+02  0.24805656414E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.80790596830E+01  0.80790596830E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.31209334336E+03  0.31209334336E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.88578352891E+01  0.11200930850E+02 -0.27912081436E+03  0.29147385059E+03  0.82732426982E+02 0.  0.
      -11    1    3    3    0    0  0.23489848497E+02 -0.88873492618E+01 -0.28542179480E+02  0.38018600300E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.32347683786E+02  0.20088280112E+02 -0.25057863488E+03  0.25345525029E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.88578352891E+01 -0.11200930850E+02 -0.24893469319E+02  0.28698552449E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.94295007688E+01  0.94295007688E+01  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.33214532910E+03  0.33214532910E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11031409565E+02  0.10587284389E+02 -0.31271577409E+03  0.32330508240E+03  0.80630257069E+02 0.  0.
      -11    1    3    3    0    0 -0.46151705337E+02  0.69854937088E+01 -0.18530062182E+03  0.19108923955E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.35120295772E+02  0.36017906803E+01 -0.12741515227E+03  0.13221584285E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.11031409565E+02 -0.10587284389E+02 -0.10000054246E+02  0.18269747471E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10224163378E+02  0.10224163378E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.12579501817E+04  0.12579501817E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.54148886031E+02 -0.38453807965E+02 -0.11122561039E+04  0.11173005736E+04  0.82680916098E+02 0.  0.
      -11    1    3    3    0    0 -0.20089384438E+02  0.35232605111E+01 -0.25399562089E+03  0.25481321034E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.74238270469E+02 -0.41977068476E+02 -0.85826048306E+03  0.86248736330E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.54148886031E+02  0.38453807965E+02 -0.13546991434E+03  0.15087377140E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.27098634352E+02  0.27098634352E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.98084010946E+02  0.98084010946E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.11275371728E+02  0.10943524032E+02 -0.42615029393E+02  0.92751621168E+02  0.80869819916E+02 0.  0.
       11    1    3    3    0    0 -0.38711106984E+02 -0.75031450854E+01 -0.79178923585E+00  0.39439496958E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27435735256E+02  0.18446669118E+02 -0.41823240157E+02  0.53312124210E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.11275371728E+02 -0.10943524032E+02 -0.28370347201E+02  0.32431024130E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.77172691298E+03  0.77172691298E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.22238971238E+02  0.22238971238E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.21136251546E+02 -0.11539248340E+03  0.45924915873E+03  0.48091522136E+03  0.81286493250E+02 0.  0.
       11    1    3    3    0    0  0.19566183008E+02 -0.30052347497E+02  0.28105389356E+03  0.28333243760E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.15700685386E+01 -0.85340135899E+02  0.17819526517E+03  0.19758278376E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.21136251546E+02  0.11539248340E+03  0.29023878302E+03  0.31305066287E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.95260946302E+02  0.95260946302E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.19929770672E+03  0.19929770672E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.47988582374E+02  0.57400254358E+02  0.51978455911E+02  0.12153136915E+03  0.80438924469E+02 0.  0.
      -11    1    3    3    0    0 -0.40033207063E+02 -0.64752038566E+01  0.38183768743E+02  0.55700862903E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.79553753109E+01  0.63875458215E+02  0.13794687167E+02  0.65830506245E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.47988582374E+02 -0.57400254358E+02 -0.15601521632E+03  0.17302728387E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.19263101131E+04  0.19263101131E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.16925481354E+01  0.16925481354E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.19873539719E+01 -0.18250636303E+02  0.10543693506E+04  0.10575608252E+04  0.80019599033E+02 0.  0.
      -11    1    3    3    0    0 -0.23456205498E+02 -0.38710952722E+02  0.43933672174E+03  0.44166218596E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25443559470E+02  0.20460316419E+02  0.61503262886E+03  0.61589863925E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.19873539719E+01  0.18250636303E+02  0.87024821437E+03  0.87044183604E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.43095358931E+03  0.43095358931E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.85361443840E+01  0.85361443840E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.12515327591E+02  0.11348251993E+02  0.41041412743E+03  0.41876545135E+03  0.81482090050E+02 0.  0.
       11    1    3    3    0    0 -0.34315201351E+02 -0.23746049120E+02  0.21964391447E+03  0.22357293453E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.21799873760E+02  0.35094301113E+02  0.19077021296E+03  0.19519251681E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.12515327591E+02 -0.11348251993E+02  0.12003317500E+02  0.20724282352E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.57679358129E+01  0.57679358129E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.52874570853E+03  0.52874570853E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.21264327581E+02 -0.87254215135E+01 -0.34508853163E+03  0.35514562405E+03  0.80709448107E+02 0.  0.
      -11    1    3    3    0    0  0.53111952120E+01  0.14312512082E+02 -0.86587052042E+01  0.17550782675E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.15953132369E+02 -0.23037933596E+02 -0.33642982643E+03  0.33759484138E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.21264327581E+02  0.87254215135E+01 -0.17788924109E+03  0.17936802029E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.25590002437E+03  0.25590002437E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.22293539228E+02  0.22293539228E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.23687095049E+02  0.22228293850E+01  0.60818774895E+02  0.10377563948E+03  0.80650111758E+02 0.  0.
      -11    1    3    3    0    0 -0.12007589219E+01  0.10589836866E+02 -0.17878306587E+02  0.20813945163E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24887853971E+02 -0.83670074809E+01  0.78697081482E+02  0.82961694313E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.23687095049E+02 -0.22228293850E+01  0.17278771024E+03  0.17441792412E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.81409041394E+03  0.81409041394E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.32923644103E+01  0.32923644103E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.18997520281E+02  0.41204038027E+01  0.59202519725E+03  0.59774798056E+03  0.80193083145E+02 0.  0.
       11    1    3    3    0    0  0.72811059834E+01  0.41912798489E+02  0.27695846895E+03  0.28020651439E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.11716414297E+02 -0.37792394686E+02  0.31506672830E+03  0.31754146618E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.18997520281E+02 -0.41204038027E+01  0.21877285227E+03  0.21963479778E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.39554030982E+02  0.39554030982E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.62877315157E+02  0.62877315157E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.15998965637E+02 -0.36028849390E+01 -0.18077774088E+02  0.85213243532E+02  0.81642778468E+02 0.  0.
      -11    1    3    3    0    0 -0.11148151163E+02 -0.19070837167E+02 -0.47070521312E+02  0.51996269877E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.48508144736E+01  0.15467952228E+02  0.28992747224E+02  0.33216973655E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.15998965637E+02  0.36028849390E+01 -0.52455100880E+01  0.17218102608E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.81571584919E+02  0.81571584919E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.33234564858E+02  0.33234564858E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.12289896831E+02  0.12498633370E+02  0.51239663113E+02  0.97038686905E+02  0.80521713096E+02 0.  0.
       11    1    3    3    0    0 -0.13496434040E+02  0.37275465639E+02  0.71726525035E+01  0.40287231406E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.25786330872E+02 -0.24776832269E+02  0.44067010610E+02  0.56751455498E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.12289896831E+02 -0.12498633370E+02 -0.29026430521E+01  0.17767462873E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.35150824277E+02  0.35150824277E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.96702241673E+02  0.96702241673E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.13604859722E+02 -0.24093858314E+02 -0.34496668854E+02  0.93154672764E+02  0.81988820453E+02 0.  0.
      -11    1    3    3    0    0  0.29157555013E+02 -0.43896449204E+02 -0.29352251961E+01  0.52779511309E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15552695291E+02  0.19802590890E+02 -0.31561443658E+02  0.40375161455E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.13604859722E+02  0.24093858314E+02 -0.27054748542E+02  0.38698393186E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.20204276645E+02  0.20204276645E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.16624168277E+03  0.16624168277E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.21831508511E+02  0.20208569496E+02 -0.10044629385E+03  0.13200745683E+03  0.80321290241E+02 0.  0.
       11    1    3    3    0    0 -0.60617693666E+01 -0.13606810546E+02 -0.83807059292E+02  0.85120582283E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.27893277877E+02  0.33815380043E+02 -0.16639234557E+02  0.46886874547E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.21831508511E+02 -0.20208569496E+02 -0.45591112276E+02  0.54438502583E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.70618651803E+02  0.70618651803E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.54797999511E+02  0.54797999511E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.34841900232E+02  0.98851424077E+01  0.11396631470E+02  0.88930407160E+02  0.80418033155E+02 0.  0.
      -11    1    3    3    0    0 -0.57915615486E+02  0.22194285610E+02  0.89392558896E+01  0.62663507138E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23073715254E+02 -0.12309143203E+02  0.24573755801E+01  0.26266900022E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.34841900232E+02 -0.98851424077E+01  0.44240208227E+01  0.36486244154E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.14384374894E+03  0.14384374894E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.57843235200E+02  0.57843235200E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.71774876539E+02 -0.14837355692E+02  0.58620220767E+02  0.12344722142E+03  0.80194177895E+02 0.  0.
       11    1    3    3    0    0  0.76174148278E+02 -0.37876860136E+02  0.48242650038E+02  0.97798316357E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.43992717384E+01  0.23039504444E+02  0.10377570729E+02  0.25648905066E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.71774876539E+02  0.14837355692E+02  0.27380292969E+02  0.78239762712E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.91561871458E+01  0.91561871458E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.11601228605E+04  0.11601228605E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.10528948806E+02  0.15833996035E+02 -0.18239021615E+03  0.20051595605E+03  0.81110316785E+02 0.  0.
      -11    1    3    3    0    0  0.33478911559E+02 -0.20399351583E+01 -0.53419665485E+02  0.63076616231E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.44007860365E+02  0.17873931194E+02 -0.12897055066E+03  0.13743933982E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.10528948806E+02 -0.15833996035E+02 -0.96857645722E+03  0.96876309162E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10642622458E+02  0.10642622458E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.32690635072E+03  0.32690635072E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.21995178670E+02  0.18667393882E+02 -0.26976433434E+03  0.28282737676E+03  0.79914138210E+02 0.  0.
       11    1    3    3    0    0 -0.16979389631E+01  0.73390254497E+01 -0.25538210682E+03  0.25549317951E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.20297239707E+02  0.11328368432E+02 -0.14382227516E+02  0.27334197251E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.21995178670E+02 -0.18667393882E+02 -0.46499393924E+02  0.54721596417E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.55303321047E+02  0.55303321047E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47106225550E+02  0.47106225550E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.10074083028E+02  0.18243788824E+02  0.80677548819E+01  0.81568728271E+02  0.78447726438E+02 0.  0.
       11    1    3    3    0    0 -0.40888898596E+02 -0.57451483014E+01  0.99478302731E+01  0.42471968221E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.30814815568E+02  0.23988937126E+02 -0.18800753911E+01  0.39096760050E+02  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502  0.10074083028E+02 -0.18243788824E+02  0.12934061485E+00  0.20840818327E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.10734680506E+03  0.10734680506E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.30551076877E+02  0.30551076877E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.21591697237E+02  0.79870524360E+01  0.77919189889E+02  0.11484887844E+03  0.81171856754E+02 0.  0.
      -11    1    3    3    0    0  0.43560498979E+02  0.28648370027E+02  0.61088027415E+02  0.80311850122E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21968801742E+02 -0.20661317591E+02  0.16831162474E+02  0.34537028315E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.21591697237E+02 -0.79870524360E+01 -0.11234617059E+01  0.23049003501E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15911331759E+02  0.15911331759E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.17856553006E+03  0.17856553006E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.17250439021E+02 -0.19365135770E+01 -0.15571539340E+03  0.17578261819E+03  0.79692643236E+02 0.  0.
      -11    1    3    3    0    0 -0.22280166239E+01  0.23930782919E+02 -0.83984408397E+01  0.25459384080E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15022422398E+02 -0.25867296496E+02 -0.14731695256E+03  0.15032323411E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.17250439021E+02  0.19365135770E+01 -0.69388049020E+01  0.18694243626E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.16780809423E+02  0.16780809423E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21662121742E+03  0.21662121742E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.10721855381E+02  0.21104627948E+02 -0.97407868134E+02  0.12826978285E+03  0.80028000819E+02 0.  0.
       11    1    3    3    0    0  0.13899484467E+02  0.42081390055E+02 -0.30039944945E+02  0.53539119807E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.24621339847E+02 -0.20976762108E+02 -0.67367923189E+02  0.74730663046E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.10721855381E+02 -0.21104627948E+02 -0.10243253986E+03  0.10513224399E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.84595232334E+02  0.84595232334E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.28689814390E+02  0.28689814390E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.82002976888E+01  0.13250036429E+02  0.54441103484E+02  0.97634086230E+02  0.79534726364E+02 0.  0.
      -11    1    3    3    0    0 -0.30239579672E+02 -0.18153009339E+02  0.58962316186E+01  0.35759327092E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.22039281983E+02  0.31403045769E+02  0.48544871866E+02  0.61874759138E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.82002976888E+01 -0.13250036429E+02  0.14643144599E+01  0.15650960494E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11179883935E+03  0.11179883935E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.15753882000E+03  0.15753882000E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.70866564283E+02 -0.45344492527E+02 -0.11247185467E+03  0.16195360119E+03  0.80627897830E+02 0.  0.
      -11    1    3    3    0    0 -0.88402330675E+02 -0.35538474257E+02 -0.10086531981E+03  0.13875074040E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17535766392E+02 -0.98060182701E+01 -0.11606534868E+02  0.23202860791E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.70866564283E+02  0.45344492527E+02  0.66731874022E+02  0.10738405816E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.28805579712E+02  0.28805579712E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.18633220903E+03  0.18633220903E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.21726048219E+02  0.39189856224E+01 -0.35786209935E+02  0.91411844287E+02  0.81167067428E+02 0.  0.
       11    1    3    3    0    0 -0.27391725960E+01 -0.14356777943E+02 -0.53940374911E+02  0.55885455934E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.24465220815E+02  0.18275763565E+02  0.18154164976E+02  0.35526388353E+02  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502 -0.21726048219E+02 -0.39189856224E+01 -0.12174041938E+03  0.12372594445E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.18560651144E+02  0.18560651144E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.12497853999E+03  0.12497853999E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.12650627670E+02 -0.78730561192E+01 -0.95941071984E+02  0.12532416754E+03  0.79242881590E+02 0.  0.
       11    1    3    3    0    0 -0.58169911166E+01 -0.24056200624E+02 -0.97623230883E+02  0.10071163479E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.18467618787E+02  0.16183144505E+02  0.16821588988E+01  0.24612532748E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.12650627670E+02  0.78730561192E+01 -0.10476816865E+02  0.18215023599E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.84008598578E+01  0.84008598578E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.41633906978E+03  0.41633906978E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.17249429053E+02  0.63583283966E+01 -0.39141830642E+03  0.40002397620E+03  0.80454457871E+02 0.  0.
       11    1    3    3    0    0 -0.23956054983E+02 -0.29754341367E+02 -0.28268900807E+03  0.28525828416E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.67066259299E+01  0.36112669763E+02 -0.10872929835E+03  0.11476569204E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.17249429053E+02 -0.63583283966E+01 -0.16519903504E+02  0.24715953440E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.81354601412E+03  0.81354601412E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.79779843638E+01  0.79779843638E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11411048842E+02  0.98215088274E+01  0.80109452957E+03  0.80581774892E+03  0.85808654042E+02 0.  0.
      -11    1    3    3    0    0 -0.31321313894E+02  0.26152415382E+02  0.70949518403E+03  0.71066756623E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.19910265052E+02 -0.16330906555E+02  0.91599345534E+02  0.95150182688E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.11411048842E+02 -0.98215088274E+01  0.44735001915E+01  0.15706249561E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.15954722146E+02  0.15954722146E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.16595086880E+03  0.16595086880E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.53707307333E+01  0.18637757022E+02 -0.13065668411E+03  0.15451534548E+03  0.80172390196E+02 0.  0.
       11    1    3    3    0    0 -0.37045886279E+02  0.20809949647E+02 -0.10636750637E+03  0.11454037763E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.31675155545E+02 -0.21721926256E+01 -0.24289177738E+02  0.39974967852E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.53707307333E+01 -0.18637757022E+02 -0.19339462546E+02  0.27390245471E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.78458870782E+03  0.78458870782E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.55996285985E+01  0.55996285985E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.22454336338E+02 -0.21601027246E+02  0.69552989350E+03  0.70110277485E+03  0.82537667483E+02 0.  0.
      -11    1    3    3    0    0 -0.10775275609E+01 -0.10719792551E+02  0.86832418990E+01  0.13837402497E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.21376808778E+02 -0.10881234695E+02  0.68684665160E+03  0.68726537235E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.22454336338E+02  0.21601027246E+02  0.83459185723E+02  0.89085561569E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.56517377099E+03  0.56517377099E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.50043724611E+01  0.50043724611E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.15883240384E+02  0.10609530635E-01  0.35055256116E+03  0.35996040883E+03  0.80200500976E+02 0.  0.
      -11    1    3    3    0    0  0.99362293954E+01  0.26003129037E+02  0.31109638839E+03  0.31233932549E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.59470109886E+01 -0.25992519506E+02  0.39456172761E+02  0.47621083345E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.15883240384E+02 -0.10609530635E-01  0.20961683738E+03  0.21021773462E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15924152510E+03  0.15924152510E+03  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.14333151743E+02  0.14333151743E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.14002772262E+02 -0.66737145879E+00  0.13075017600E+03  0.15365038092E+03  0.79475203785E+02 0.  0.
      -11    1    3    3    0    0 -0.14246809882E+02  0.33110226764E+02  0.49471523291E+02  0.61210214221E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.28249582144E+02 -0.33777598222E+02  0.81278652709E+02  0.92440166699E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.14002772262E+02  0.66737145879E+00  0.14158197358E+02  0.19924295926E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.76537193197E+03  0.76537193197E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47569674805E+01  0.47569674805E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.70907240089E+01  0.31195970749E+02  0.57425457405E+03  0.58104251157E+03  0.82574920365E+02 0.  0.
      -11    1    3    3    0    0 -0.73433942933E+01 -0.23848893225E+02  0.81813056861E+02  0.85534036621E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25267028444E+00  0.55044863973E+02  0.49244151719E+03  0.49550847495E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.70907240089E+01 -0.31195970749E+02  0.18636039044E+03  0.18908638788E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.50636639527E+02  0.50636639527E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.67469334030E+02  0.67469334030E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.24860441963E+02  0.18103942629E+02 -0.97481889694E+01  0.86546750944E+02  0.80308894884E+02 0.  0.
      -11    1    3    3    0    0 -0.17437825915E+02  0.57647009818E+01  0.24585449538E+02  0.30688008717E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.42298267879E+02  0.12339241647E+02 -0.34333638507E+02  0.55858742226E+02  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502 -0.24860441963E+02 -0.18103942629E+02 -0.70845055335E+01  0.31559222613E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.23991189490E+02  0.23991189490E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10811160377E+03  0.10811160377E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.65034156276E+01  0.16864532361E+02 -0.65547543279E+02  0.10618641998E+03  0.81562053017E+02 0.  0.
      -11    1    3    3    0    0 -0.30082987014E+02  0.31820259324E+02 -0.38341968131E+02  0.58203277668E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.36586402642E+02 -0.14955726963E+02 -0.27205575147E+02  0.47983142314E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.65034156276E+01 -0.16864532361E+02 -0.18572871000E+02  0.25916373276E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.15697874610E+03  0.15697874610E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.57349908643E+02  0.57349908643E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.11953075928E+02 -0.23510857608E+02  0.14144518400E+03  0.16488936583E+03  0.80536491330E+02 0.  0.
       11    1    3    3    0    0 -0.16526459377E+02  0.27060494864E+02  0.73658890494E+02  0.80193680491E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.45733834492E+01 -0.50571352472E+02  0.67786293509E+02  0.84695685337E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.11953075928E+02  0.23510857608E+02 -0.41816346548E+02  0.49439288913E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.56469322433E+02  0.56469322433E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.40565104750E+02  0.40565104750E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.14515842828E+02 -0.62810898832E+01  0.13796561853E+02  0.81078111937E+02  0.78314451624E+02 0.  0.
       11    1    3    3    0    0 -0.30126630325E+02 -0.15940110211E+02  0.35558413684E+01  0.34268717164E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.44642473153E+02  0.96590203274E+01  0.10240720484E+02  0.46809394772E+02  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502 -0.14515842828E+02  0.62810898832E+01  0.21076558304E+01  0.15956315246E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.24749651359E+02  0.24749651359E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.11373866071E+03  0.11373866071E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.15885137401E+02  0.13928206167E+02 -0.74341332358E+02  0.11278059030E+03  0.82137052137E+02 0.  0.
      -11    1    3    3    0    0 -0.43762188076E+02  0.25446491962E+02 -0.29053458964E+02  0.58367427014E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.27877050675E+02 -0.11518285795E+02 -0.45287873394E+02  0.54413163284E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.15885137401E+02 -0.13928206167E+02 -0.14647676988E+02  0.25707721767E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.67196427899E+02  0.67196427899E+02  0.00000000000E+00 0.  1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.16287250789E+03  0.16287250789E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.16263061007E+02 -0.14483963365E+02 -0.14915148399E+03  0.17232907797E+03  0.83527681565E+02 0.  0.
      -11    1    3    3    0    0 -0.41296872662E+02 -0.12287727682E+02 -0.35192295489E+02  0.55631983652E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.25033811655E+02 -0.21962356831E+01 -0.11395918850E+03  0.11669709431E+03  0.00000000000E+00 0. -1.
       -4    1    1    2    0  502  0.16263061007E+02  0.14483963365E+02  0.53475404002E+02  0.57739857821E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.14540665848E+01  0.14540665848E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.14598916323E+04  0.14598916323E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.84308648479E+01 -0.13027983243E+02 -0.12983150324E+04  0.13004729744E+04  0.73261352597E+02 0.  0.
      -11    1    3    3    0    0 -0.14787913213E+02 -0.13236559126E+02 -0.10092819960E+03  0.10286102444E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.23218778061E+02  0.20857588327E+00 -0.11973868328E+04  0.11976119499E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.84308648479E+01  0.13027983243E+02 -0.16012253324E+03  0.16087272448E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.80812283309E+02  0.80812283309E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.34368599337E+02  0.34368599337E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.16539536312E+02  0.76480459485E+01  0.50085548905E+02  0.96598308862E+02  0.80564397829E+02 0.  0.
      -11    1    3    3    0    0 -0.13059764185E+02  0.33855031956E+02  0.43286633456E+02  0.56484097455E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.29599300498E+02 -0.26206986007E+02  0.67989154491E+01  0.40114211407E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.16539536312E+02 -0.76480459485E+01 -0.36418649327E+01  0.18582573784E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.99423753621E+02  0.99423753621E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.57742785656E+02  0.57742785656E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.11945639841E+02 -0.27617889176E+02  0.73323978111E+02  0.11350046314E+03  0.81243481302E+02 0.  0.
       11    1    3    3    0    0  0.91039515254E+01 -0.22233552556E+01  0.84922716952E+02  0.85438241417E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.28416883154E+01 -0.25394533921E+02 -0.11598738841E+02  0.28062221726E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.11945639841E+02  0.27617889176E+02 -0.31643010146E+02  0.43666076133E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.93410252155E+01  0.93410252155E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.29996113187E+03  0.29996113187E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.17589847965E+02 -0.53309592101E+01 -0.26689588280E+03  0.27929114785E+03  0.80201690361E+02 0.  0.
       11    1    3    3    0    0  0.42847948832E+02 -0.25165772971E+02 -0.17641023264E+03  0.18327529301E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.25258100867E+02  0.19834813761E+02 -0.90485650157E+02  0.96015854840E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.17589847965E+02  0.53309592101E+01 -0.23724223853E+02  0.30011009230E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.17332054568E+02  0.17332054568E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.30572434496E+03  0.30572434496E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.34885392751E+02 -0.27316757092E+02 -0.24102643959E+03  0.25819716990E+03  0.81294760710E+02 0.  0.
       11    1    3    3    0    0  0.42628218606E+02  0.10013237811E+02 -0.66975257155E+02  0.80019466532E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.77428258550E+01 -0.37329994903E+02 -0.17405118243E+03  0.17817770337E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.34885392751E+02  0.27316757092E+02 -0.47365850808E+02  0.64859229630E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.47306965278E+02  0.47306965278E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.82827773415E+02  0.82827773415E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.17170794823E+02  0.74247853485E+01 -0.58358762700E+02  0.10061295350E+03  0.79795097568E+02 0.  0.
      -11    1    3    3    0    0 -0.27109822612E+02  0.19878452909E+02 -0.13091099720E+02  0.36075923605E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.44280617434E+02 -0.12453667560E+02 -0.45267662981E+02  0.64537029896E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.17170794823E+02 -0.74247853485E+01  0.22837954563E+02  0.29521785192E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.19744147998E+02  0.19744147998E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.18518358294E+03  0.18518358294E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.22553018612E+02 -0.15396327338E+02 -0.82663200925E+02  0.11776357281E+03  0.79305540474E+02 0.  0.
      -11    1    3    3    0    0  0.29804834094E+02 -0.40665413225E+02 -0.75016144804E+02  0.90384876773E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.72518154822E+01  0.25269085887E+02 -0.76470561210E+01  0.27378696037E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.22553018612E+02  0.15396327338E+02 -0.82776234019E+02  0.87164158129E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45891772446E+03  0.45891772446E+03  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.61565397543E+01  0.61565397543E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.61487000624E+01 -0.16724306509E+02  0.27864791257E+03  0.29005157862E+03  0.78535024904E+02 0.  0.
       11    1    3    3    0    0 -0.23287231405E+02  0.21696161857E+02  0.12305326531E+03  0.12710281149E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.29435931467E+02 -0.38420468366E+02  0.15559464726E+03  0.16294876713E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.61487000624E+01  0.16724306509E+02  0.17411327213E+03  0.17502268560E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.47574174821E+01  0.47574174821E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.70849636893E+03  0.70849636893E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.14591132805E+01 -0.16318343483E+02 -0.67742606142E+03  0.68225724584E+03  0.79375458860E+02 0.  0.
       11    1    3    3    0    0  0.90788953961E+01  0.21462853529E+02 -0.50020398140E+03  0.50074654610E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.10538008677E+02 -0.37781197012E+02 -0.17722208002E+03  0.18151069974E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.14591132805E+01  0.16318343483E+02 -0.26312890028E+02  0.30996540569E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.11322370873E+02  0.11322370873E+02  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.30062666566E+03  0.30062666566E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.15680193227E+02  0.13872603320E+01 -0.28335665524E+03  0.29512145895E+03  0.80980791044E+02 0.  0.
      -11    1    3    3    0    0 -0.17041519707E+02 -0.96857591564E+01 -0.10884431693E+02  0.22420931686E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13613264803E+01  0.11073019488E+02 -0.27247222354E+03  0.27270052727E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.15680193227E+02 -0.13872603320E+01 -0.59476395493E+01  0.16827577576E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11508728977E+02  0.11508728977E+02  0.00000000000E+00 0.  1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.35418076354E+03  0.35418076354E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.13910352198E+02 -0.63707907107E+01 -0.34046462275E+03  0.35023124102E+03  0.80694968681E+02 0.  0.
       11    1    3    3    0    0  0.30092281855E+02 -0.57192611165E+01 -0.21714244785E+03  0.21929226624E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.44002634052E+02 -0.65152959416E+00 -0.12332217490E+03  0.13093897478E+03  0.00000000000E+00 0.  1.
       -3    1    1    2    0  502  0.13910352198E+02  0.63707907107E+01 -0.22074118187E+01  0.15458251501E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.28687044000E+03  0.28687044000E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.91345306954E+01  0.91345306954E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.33232541465E+01 -0.16588699576E+02  0.24588475515E+03  0.25993940550E+03  0.82601166735E+02 0.  0.
      -11    1    3    3    0    0  0.11733019212E+02 -0.47474674878E+02  0.16404788763E+03  0.17118182710E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.15056273358E+02  0.30885975302E+02  0.81836867518E+02  0.88757578397E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.33232541465E+01  0.16588699576E+02  0.31851154160E+02  0.36065565198E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.88283155687E+02  0.88283155687E+02  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.47005049496E+02  0.47005049496E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.43879313119E+01 -0.28392086244E+02  0.55100017251E+02  0.10340702378E+03  0.82653712335E+02 0.  0.
       11    1    3    3    0    0  0.17981437886E+02 -0.31778183051E+02 -0.71207674445E+01  0.37200676815E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.22369369198E+02  0.33860968066E+01  0.62220784695E+02  0.66206346962E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.43879313119E+01  0.28392086244E+02 -0.13821911060E+02  0.31881181406E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20054576610E+02  0.20054576610E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.26222047982E+03  0.26222047982E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.37397773328E+02  0.77032146476E+01 -0.92513367413E+02  0.12782825512E+03  0.79519850918E+02 0.  0.
      -11    1    3    3    0    0  0.57177443901E+02 -0.38480325728E+01 -0.87149598280E+02  0.10430301974E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.19779670574E+02  0.11551247220E+02 -0.53637691338E+01  0.23525235380E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.37397773328E+02 -0.77032146476E+01 -0.14965253579E+03  0.15444680131E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.80678463152E+02  0.80678463152E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.40969768907E+02  0.40969768907E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.32120280855E+01  0.20361423391E+02  0.51741787650E+02  0.97779842424E+02  0.80366537242E+02 0.  0.
      -11    1    3    3    0    0  0.28797536142E+02 -0.72363042429E+00 -0.76108152455E+01  0.29795070692E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.25585508057E+02  0.21085053815E+02  0.59352602895E+02  0.67984771731E+02  0.00000000000E+00 0. -1.
        3    1    1    2  501    0 -0.32120280855E+01 -0.20361423391E+02 -0.12033093404E+02  0.23868389636E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.12764126475E+03  0.12764126475E+03  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.25422279758E+02  0.25422279758E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.19532362827E+02 -0.14600837990E+02  0.59296235011E+02  0.10369695526E+03  0.81500413353E+02 0.  0.
      -11    1    3    3    0    0 -0.18876981143E+01 -0.47059042545E+02  0.41128498387E+02  0.62527356165E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17644664713E+02  0.32458204556E+02  0.18167736623E+02  0.41169599097E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.19532362827E+02  0.14600837990E+02  0.42922749977E+02  0.49366589240E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.35309512544E+03  0.35309512544E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.91753230595E+01  0.91753230595E+01  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.16016709022E+01  0.14627700669E+02  0.33630107397E+03  0.34569999289E+03  0.78699032738E+02 0.  0.
       11    1    3    3    0    0  0.16002330388E+02  0.42247110090E+02  0.15438518489E+03  0.16085918750E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.17604001290E+02 -0.27619409421E+02  0.18191588908E+03  0.18484080539E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.16016709022E+01 -0.14627700669E+02  0.76187284102E+01  0.16570455610E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.52239288427E+02  0.52239288427E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.50041382254E+02  0.50041382254E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.50454897833E+01 -0.14238719076E+02 -0.11096514673E+02  0.82157556765E+02  0.79990833272E+02 0.  0.
      -11    1    3    3    0    0  0.97639769145E+01  0.38693762976E+01 -0.43494012549E+02  0.44744121912E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.47184871312E+01 -0.18108095373E+02  0.32397497876E+02  0.37413434852E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.50454897833E+01  0.14238719076E+02  0.13294420846E+02  0.20123113916E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.53931491141E+02  0.53931491141E+02  0.00000000000E+00 0.  1.
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.77742446867E+02  0.77742446867E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.93168851596E+01 -0.16049452482E+02 -0.50786253687E+02  0.98931672140E+02  0.82848312685E+02 0.  0.
      -11    1    3    3    0    0  0.27414366995E+02 -0.26152517969E+02 -0.47406440178E+02  0.60686673037E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36731252155E+02  0.10103065487E+02 -0.33798135085E+01  0.38244999104E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.93168851596E+01  0.16049452482E+02  0.26975297961E+02  0.32742265867E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.18840810772E+03  0.18840810772E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.45843981401E+02  0.45843981401E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.31911089907E+02  0.25972372749E+02  0.16491732000E+03  0.18742744739E+03  0.78983819825E+02 0.  0.
      -11    1    3    3    0    0 -0.17236106684E+02 -0.14169078862E+02  0.63461577001E+01  0.23197411212E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.14674983224E+02  0.40141451611E+02  0.15857116230E+03  0.16423003618E+03  0.00000000000E+00 0. -1.
        3    1    1    2  501    0  0.31911089907E+02 -0.25972372749E+02 -0.22353193682E+02  0.46824641729E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.24761364026E+03  0.24761364026E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.27516591068E+02  0.27516591068E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.11355010524E+02  0.43211309770E+02  0.20948879526E+03  0.22920977175E+03  0.81580699755E+02 0.  0.
      -11    1    3    3    0    0  0.59729143201E+01 -0.65140272606E-01 -0.61596657196E+01  0.85802931481E+01  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.17327924844E+02  0.43276450043E+02  0.21564846098E+03  0.22062947860E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.11355010524E+02 -0.43211309770E+02  0.10608253934E+02  0.45920459575E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.49494910066E+02  0.49494910066E+02  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.20665455042E+03  0.20665455042E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.33119945246E+02  0.11644765531E+02  0.57638297537E+01  0.89486361843E+02  0.82110023049E+02 0.  0.
      -11    1    3    3    0    0 -0.40569437262E+02 -0.27490611942E+02  0.76693192385E+01  0.49602736238E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.74494920158E+01  0.39135377473E+02 -0.19054894847E+01  0.39883625605E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.33119945246E+02 -0.11644765531E+02 -0.16292347010E+03  0.16666309864E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45581205275E+01  0.45581205275E+01  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.61517589281E+03  0.61517589281E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.22016651977E+02 -0.12950694701E+01 -0.51294514242E+03  0.51960233606E+03  0.79921576200E+02 0.  0.
       11    1    3    3    0    0 -0.42792707384E+02 -0.57060816176E+01 -0.46693554971E+03  0.46892705483E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.20776055407E+02  0.44110121475E+01 -0.46009592712E+02  0.50675281232E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.22016651977E+02  0.12950694701E+01 -0.97672629867E+02  0.10013167728E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.45537669871E+03  0.45537669871E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.50803837947E+01  0.50803837947E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.11882729151E+02 -0.16567762691E+01  0.40258403713E+03  0.41125946456E+03  0.83165474092E+02 0.  0.
      -11    1    3    3    0    0 -0.15207028922E+02 -0.12288623943E+02  0.18191972717E+02  0.26706027005E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.33242997710E+01  0.10631847674E+02  0.38439206441E+03  0.38455343756E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.11882729151E+02  0.16567762691E+01  0.47712277782E+02  0.49197617938E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.28334878255E+02  0.28334878255E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.22902066164E+03  0.22902066164E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.15408007379E+02 -0.61093784207E+00 -0.33131697172E+02  0.89093388050E+02  0.81253569155E+02 0.  0.
       11    1    3    3    0    0  0.89693150376E+01  0.60767268734E+01 -0.54762400510E+02  0.55823791803E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.24377322416E+02 -0.66876647154E+01  0.21630703338E+02  0.33269596247E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.15408007379E+02  0.61093784207E+00 -0.16755408621E+03  0.16826215184E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.98703626387E+02  0.98703626387E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.41597441252E+02  0.41597441252E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.18423739351E+01 -0.20644876233E+02  0.75821613084E+02  0.11237487027E+03  0.80309334454E+02 0.  0.
      -11    1    3    3    0    0  0.65702722323E+00 -0.21339909258E+02  0.92787342138E+02  0.95211943961E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.24994011584E+01  0.69503302471E+00 -0.16965729054E+02  0.17162926306E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.18423739351E+01  0.20644876233E+02 -0.18715427949E+02  0.27926197372E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.11589067698E+04  0.11589067698E+04  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21415062719E+01  0.21415062719E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.15664410268E+02 -0.52263420249E+01  0.87399468914E+03  0.87779593956E+03  0.79914369560E+02 0.  0.
      -11    1    3    3    0    0  0.73203992235E+01  0.33072651714E+02  0.26329462933E+03  0.26546459344E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.22984809491E+02 -0.38298993739E+02  0.61070005981E+03  0.61233134612E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.15664410268E+02  0.52263420249E+01  0.28277057443E+03  0.28325233655E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10172448555E+02  0.10172448555E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.22083474237E+03  0.22083474237E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.41502300116E+01 -0.12326731111E+02 -0.18191865988E+03  0.19945771865E+03  0.80745340472E+02 0.  0.
      -11    1    3    3    0    0  0.12151257365E+01 -0.26626033037E+02 -0.18224272803E+03  0.18418152482E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.53653557480E+01  0.14299301926E+02  0.32406814549E+00  0.15276193834E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.41502300116E+01  0.12326731111E+02 -0.28743633936E+02  0.31549472276E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.10244589730E+02  0.10244589730E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.41961271080E+03  0.41961271080E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.17568953943E+02  0.39130157079E+01 -0.40219101603E+03  0.41047971886E+03  0.80075004765E+02 0.  0.
       11    1    3    3    0    0 -0.27764478615E+02 -0.24452626157E+01 -0.43985522404E+02  0.52072754519E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.10195524672E+02  0.63582783235E+01 -0.35820549362E+03  0.35840696434E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.17568953943E+02 -0.39130157079E+01 -0.71771050431E+01  0.19377581670E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.47719119472E+03  0.47719119472E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.55947120444E+01  0.55947120444E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.13982306515E+02  0.47929664003E+00  0.31130856217E+03  0.32188857279E+03  0.80644266940E+02 0.  0.
      -11    1    3    3    0    0  0.22309236312E+02  0.37606890572E+02  0.15967250553E+03  0.16555147014E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.83269297967E+01 -0.37127593932E+02  0.15163605665E+03  0.15633710265E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.13982306515E+02 -0.47929664003E+00  0.16028792051E+03  0.16089733398E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.46404975889E+01  0.46404975889E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10801733659E+04  0.10801733659E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.94119394442E+01 -0.45943453618E+02 -0.75370027436E+03  0.75958224747E+03  0.81863920957E+02 0.  0.
      -11    1    3    3    0    0 -0.15006853521E+02 -0.39701084649E+02 -0.68650292488E+03  0.68781367219E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.24418792966E+02 -0.62423689691E+01 -0.67197349481E+02  0.71768575279E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.94119394442E+01  0.45943453618E+02 -0.32183259398E+03  0.32523161606E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.17458433932E+02  0.17458433932E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.18695149707E+03  0.18695149707E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.28280698401E+02 -0.46282859886E+01 -0.13093743065E+03  0.15637082475E+03  0.80535738359E+02 0.  0.
       11    1    3    3    0    0 -0.48583605605E+02 -0.10751978146E+02 -0.12470782068E+03  0.13426843377E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.20302907204E+02  0.61236921572E+01 -0.62296099708E+01  0.22102390978E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.28280698401E+02  0.46282859886E+01 -0.38555632484E+02  0.48039106252E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.44697039764E+03  0.44697039764E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.59639132150E+01  0.59639132150E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.13505850531E+02 -0.11851439237E+02  0.31081586994E+03  0.32150957684E+03  0.80243618958E+02 0.  0.
       11    1    3    3    0    0  0.32713187359E+02  0.11804053626E+02  0.25956481720E+03  0.26188429246E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.19207336828E+02 -0.23655492863E+02  0.51251052741E+02  0.59625284382E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.13505850531E+02  0.11851439237E+02  0.13019061449E+03  0.13142473402E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.20202873342E+03  0.20202873342E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.11268624246E+02  0.11268624246E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.12130087957E+02  0.54315307100E+01  0.15465082368E+03  0.17481981800E+03  0.80426680536E+02 0.  0.
      -11    1    3    3    0    0 -0.15336960569E+02  0.25920659709E+02  0.20676222657E+02  0.36532302728E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.27467048526E+02 -0.20489128999E+02  0.13397460102E+03  0.13828751527E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.12130087957E+02 -0.54315307100E+01  0.36109285503E+02  0.38477539672E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.68947046367E+03  0.68947046367E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.10785365790E+02  0.10785365790E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.17821094073E+02  0.22241934963E+02  0.17196144431E+03  0.19273129197E+03  0.82233311443E+02 0.  0.
      -11    1    3    3    0    0 -0.20833386381E+02  0.32174782256E+02  0.42379464924E+02  0.57142502995E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.38654480453E+02 -0.99328472927E+01  0.12958197938E+03  0.13558878897E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.17821094073E+02 -0.22241934963E+02  0.50672365357E+03  0.50752453749E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10359016317E+02  0.10359016317E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.29618668431E+03  0.29618668431E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.24967500306E+02  0.94562156403E+01 -0.20830824252E+03  0.22455754653E+03  0.79504538979E+02 0.  0.
       11    1    3    3    0    0  0.22769723668E+02  0.19297751440E+02 -0.12036511653E+03  0.12401058344E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.47737223974E+02 -0.98415357995E+01 -0.87943125983E+02  0.10054696309E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.24967500306E+02 -0.94562156403E+01 -0.77519425473E+02  0.81988154092E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.15031338990E+02  0.15031338990E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.55397803523E+03  0.55397803523E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.45619294057E+02  0.26982512110E+02 -0.48386794789E+03  0.49257087299E+03  0.75423457743E+02 0.  0.
      -11    1    3    3    0    0  0.41614439781E+02 -0.16247098580E+01 -0.11050478642E+03  0.11809195190E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.40048542760E+01  0.28607221968E+02 -0.37336316146E+03  0.37447892110E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.45619294057E+02 -0.26982512110E+02 -0.55078748357E+02  0.76438501232E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.45430386125E+03  0.45430386125E+03  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.10104058152E+02  0.10104058152E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.23648855163E+02 -0.24616509232E+02  0.20312447719E+03  0.22092783061E+03  0.79901891257E+02 0.  0.
       11    1    3    3    0    0 -0.13018337147E+02 -0.53175837302E+02  0.10870429045E+03  0.12171182990E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.10630518016E+02  0.28559328069E+02  0.94420186738E+02  0.99216000709E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.23648855163E+02  0.24616509232E+02  0.24107532590E+03  0.24348008879E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.87285404415E+01  0.87285404415E+01  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.27106477443E+03  0.27106477443E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.11036664184E+02  0.10103199735E+02 -0.22120324346E+03  0.23602339928E+03  0.80946201199E+02 0.  0.
      -11    1    3    3    0    0  0.36345961856E+01  0.34282123315E+02 -0.20021496357E+03  0.20316128053E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.74020679986E+01 -0.24178923579E+02 -0.20988279893E+02  0.32862118754E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.11036664184E+02 -0.10103199735E+02 -0.41132990532E+02  0.43769915596E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.74481397764E+03  0.74481397764E+03  0.00000000000E+00 0. -1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.57429991680E+01  0.57429991680E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.17182092664E+02 -0.22194159370E+02  0.33504336466E+03  0.34555559688E+03  0.79792288576E+02 0.  0.
      -11    1    3    3    0    0  0.22546060002E+02  0.17147450645E+02  0.47659195895E+02  0.55441490227E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.53639673380E+01 -0.39341610015E+02  0.28738416876E+03  0.29011410665E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.17182092664E+02  0.22194159370E+02  0.40402761381E+03  0.40500137993E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.44534130735E+02  0.44534130735E+02  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.49285442659E+03  0.49285442659E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.63354710041E+02  0.11920350215E+03 -0.28932614164E+03  0.32881618312E+03  0.78658577620E+02 0.  0.
      -11    1    3    3    0    0 -0.29919071731E+02  0.23364881020E+02 -0.24441193778E+02  0.45149091593E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.33435638310E+02  0.95838621128E+02 -0.26488494786E+03  0.28366709152E+03  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.63354710041E+02 -0.11920350215E+03 -0.15899415421E+03  0.20857237421E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.11678572736E+04  0.11678572736E+04  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.23168871564E+02  0.23168871564E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.14472240439E+03 -0.17930382291E+02  0.42288275288E+03  0.45463666391E+03  0.81231770574E+02 0.  0.
       11    1    3    3    0    0  0.14352548522E+03 -0.26409199757E+02  0.32358977311E+03  0.35497514280E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.11969191735E+01  0.84788174658E+01  0.99292979762E+02  0.99661521116E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.14472240439E+03  0.17930382291E+02  0.72180564921E+03  0.73638948130E+03  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.35970817153E+01  0.35970817153E+01  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.16799678834E+04  0.16799678834E+04  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.65218910067E+01  0.18978488287E+02 -0.16396343622E+04  0.16417046729E+04  0.79941685997E+02 0.  0.
      -11    1    3    3    0    0  0.29570648063E+02 -0.23582990136E+01 -0.25586275884E+03  0.25757666075E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.23048757056E+02  0.21336787300E+02 -0.13837716034E+04  0.13841280121E+04  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.65218910067E+01 -0.18978488287E+02 -0.36736439457E+02  0.41860292211E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.55599045915E+03  0.55599045915E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.71991755024E+01  0.71991755024E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.30542864818E+02  0.12930298543E+02  0.30828331772E+03  0.32040549001E+03  0.80752800799E+02 0.  0.
      -11    1    3    3    0    0  0.57160953843E+02  0.14500634178E+02  0.18118937496E+03  0.19054456863E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.26618089025E+02 -0.15703356347E+01  0.12709394275E+03  0.12986092138E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.30542864818E+02 -0.12930298543E+02  0.24050796593E+03  0.24278414464E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.32607771014E+03  0.32607771014E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.15401276397E+02  0.15401276397E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.27011575997E+02 -0.34298059867E+02  0.25227436841E+03  0.26856271000E+03  0.81102343363E+02 0.  0.
       11    1    3    3    0    0  0.49544623554E+01 -0.28982289193E+02  0.24178582824E+03  0.24356704728E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.22057113641E+02 -0.53157706742E+01  0.10488540174E+02  0.24995662724E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.27011575997E+02  0.34298059867E+02  0.58402065331E+02  0.72916276533E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.72770500244E+01  0.72770500244E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.32875111519E+03  0.32875111519E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.14449483522E+02 -0.60908369604E+01 -0.26240135359E+03  0.27490966456E+03  0.80467182351E+02 0.  0.
      -11    1    3    3    0    0  0.17385530278E+02  0.32377968646E+02 -0.74293604505E+02  0.82886242448E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29360467559E+01 -0.38468805606E+02 -0.18810774908E+03  0.19202342211E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.14449483522E+02  0.60908369604E+01 -0.59072711578E+02  0.61118500653E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        4   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.21071131702E+02  0.21071131702E+02  0.00000000000E+00 0. -1.
       -3   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.15132913645E+03  0.15132913645E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.20417723891E+02 -0.18218657802E+01 -0.71738675303E+02  0.11039450582E+03  0.81365267386E+02 0.  0.
      -11    1    3    3    0    0 -0.26783360190E+02  0.13711607587E+02 -0.44527068376E+02  0.53740267806E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.47201084081E+02 -0.15533473367E+02 -0.27211606927E+02  0.56654238013E+02  0.00000000000E+00 0. -1.
       21    1    1    2  502  501 -0.20417723891E+02  0.18218657802E+01 -0.58519329440E+02  0.62005762329E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.36550826091E+03  0.36550826091E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.13697891440E+02  0.13697891440E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.28280280846E+02  0.28194413669E+02  0.30294463798E+03  0.31609863330E+03  0.80920906106E+02 0.  0.
      -11    1    3    3    0    0 -0.46144821717E+02  0.23199715454E+02  0.28708321919E+03  0.29169221126E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.17864540872E+02  0.49946982147E+01  0.15861418796E+02  0.24406422045E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.28280280846E+02 -0.28194413669E+02  0.48865731488E+02  0.63107519050E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.97173043526E+02  0.97173043526E+02  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.33893617722E+02  0.33893617722E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.17859313666E+02 -0.14545795218E+02  0.68145515430E+02  0.10752490958E+03  0.79920333237E+02 0.  0.
      -11    1    3    3    0    0  0.11388459203E+02  0.60189604207E+01 -0.13337831528E+02  0.18542455000E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.29247772870E+02 -0.20564755639E+02  0.81483346958E+02  0.88982454584E+02  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.17859313666E+02  0.14545795218E+02 -0.48660896253E+01  0.23541751664E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.36406068292E+01  0.36406068292E+01  0.00000000000E+00 0.  1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.62223024477E+03  0.62223024477E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.95410446171E+00 -0.12706532527E+02 -0.55916054504E+03  0.56509105753E+03  0.80653715883E+02 0.  0.
      -11    1    3    3    0    0 -0.28256144188E+02  0.18745569834E+02 -0.14841516367E+03  0.15223950499E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.27302039726E+02 -0.31452102361E+02 -0.41074538137E+03  0.41285155254E+03  0.00000000000E+00 0. -1.
       21    1    1    2  502  501  0.95410446171E+00  0.12706532527E+02 -0.59429092906E+02  0.60779794075E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.60276239640E+03  0.60276239640E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.42562205871E+01  0.42562205871E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.15776416433E+02  0.22609192732E+01  0.54431831744E+03  0.55053560125E+03  0.80950666918E+02 0.  0.
       11    1    3    3    0    0  0.57992195073E+01 -0.24215480112E+02  0.47517845363E+03  0.47583041434E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.99771969256E+01  0.26476399385E+02  0.69139863814E+02  0.74705186909E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.15776416433E+02 -0.22609192732E+01  0.54187858372E+02  0.56483015734E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.50831168792E+03  0.50831168792E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.17565677921E+02  0.17565677921E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.71856291372E+02  0.25352018971E+02  0.33530078271E+03  0.35276101722E+03  0.78788761274E+02 0.  0.
      -11    1    3    3    0    0  0.76551245471E+02 -0.61991945900E+01  0.21511179077E+03  0.22841104554E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.46949540990E+01  0.31551213561E+02  0.12018899195E+03  0.12434997168E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.71856291372E+02 -0.25352018971E+02  0.15544522728E+03  0.17311634862E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.14204335508E+03  0.14204335508E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.35671890024E+02  0.35671890024E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.25386963729E+01  0.25217340435E+02  0.12147663913E+03  0.14821057561E+03  0.81039753389E+02 0.  0.
       11    1    3    3    0    0  0.34575904754E+02  0.96449381043E+01  0.10085082477E+03  0.10704861923E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.32037208381E+02  0.15572402330E+02  0.20625814358E+02  0.41161956381E+02  0.00000000000E+00 0.  1.
        2    1    1    2  501    0 -0.25386963729E+01 -0.25217340435E+02 -0.15105174080E+02  0.29504669493E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.78450468803E+03  0.78450468803E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.46515949756E+01  0.46515949756E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0  0.14540340545E+02 -0.25929921197E+02  0.69370543569E+03  0.69802340647E+03  0.71593729870E+02 0.  0.
      -11    1    3    3    0    0  0.14326257478E+01 -0.17693240163E+02  0.36026700748E+02  0.40162499061E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.13107714797E+02 -0.82366810332E+01  0.65767873494E+03  0.65786090741E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.14540340545E+02  0.25929921197E+02  0.86147657366E+02  0.91132876538E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.55081418521E+02  0.55081418521E+02  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.41604873194E+02  0.41604873194E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.19911711134E+02  0.78816350374E+01  0.12452394733E+02  0.75246951810E+02  0.71052411719E+02 0.  0.
       11    1    3    3    0    0 -0.42064626550E+02  0.17554738985E+02 -0.43805606158E+01  0.45790730274E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.22152915417E+02 -0.96731039480E+01  0.16832955349E+02  0.29456221537E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.19911711134E+02 -0.78816350374E+01  0.10241505941E+01  0.21439339905E+02  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.46777046795E+03  0.46777046795E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.73825679326E+01  0.73825679326E+01  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.24793639881E+01 -0.26015555337E+02  0.41089251436E+03  0.41918206513E+03  0.78727307886E+02 0.  0.
      -11    1    3    3    0    0  0.61017954693E+01  0.24349998323E+02  0.66001564052E+02  0.70614168433E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.36224314812E+01 -0.50365553660E+02  0.34489095030E+03  0.34856789670E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.24793639881E+01  0.26015555337E+02  0.49495385663E+02  0.55970970755E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.37933646200E+03  0.37933646200E+03  0.00000000000E+00 0. -1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.73703962433E+01  0.73703962433E+01  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.13501536974E+02 -0.10651247396E+02  0.24319953451E+03  0.25679704283E+03  0.80640976234E+02 0.  0.
       11    1    3    3    0    0  0.72153079711E+01 -0.22729391071E+02  0.24195149772E+03  0.24312386377E+03  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.62862290025E+01  0.12078143675E+02  0.12480367929E+01  0.13673179057E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.13501536974E+02  0.10651247396E+02  0.12876653124E+03  0.12990981541E+03  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.17213926709E+03  0.17213926709E+03  0.00000000000E+00 0.  1.
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.26292487648E+02  0.26292487648E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.16086081181E+02  0.16281066220E+02  0.42079444572E+02  0.92170308713E+02  0.78745482587E+02 0.  0.
       11    1    3    3    0    0 -0.45285352967E+02 -0.36601575045E+01  0.15751081296E+02  0.48085928382E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.29199271786E+02  0.19941223724E+02  0.26328363275E+02  0.44084380332E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502  0.16086081181E+02 -0.16281066220E+02  0.10376733487E+03  0.10626144603E+03  0.00000000000E+00 0.  1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.90076790737E+03  0.90076790737E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.42814942617E+01  0.42814942617E+01  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.14369967638E+02  0.40734580592E+01  0.87457331928E+03  0.87853011220E+03  0.81936427974E+02 0.  0.
      -11    1    3    3    0    0 -0.14989537924E+02  0.39233791969E+02  0.30580010283E+03  0.30867082721E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.61957028650E+00 -0.35160333909E+02  0.56877321644E+03  0.56985928499E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.14369967638E+02 -0.40734580592E+01  0.21913093835E+02  0.26519289430E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.18062878755E+02  0.18062878755E+02  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.21271810792E+03  0.21271810792E+03  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.65779438379E+01  0.16497338419E+02 -0.19681328610E+03  0.21288996295E+03  0.79191130930E+02 0.  0.
      -11    1    3    3    0    0  0.35193184460E+02  0.10050264393E+02 -0.11679052948E+03  0.12239115909E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.41771128298E+02  0.64470740258E+01 -0.80022756626E+02  0.90498803864E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.65779438379E+01 -0.16497338419E+02  0.21580569418E+01  0.17891023722E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.13861054424E+03  0.13861054424E+03  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.20153293908E+02  0.20153293908E+02  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0  0.12703274096E+02 -0.94881800099E+01  0.11631085006E+03  0.14276365794E+03  0.81251765845E+02 0.  0.
       11    1    3    3    0    0 -0.59993586387E+01  0.32462410692E+02  0.28272599519E+02  0.43464241574E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.18702632735E+02 -0.41950590702E+02  0.88038250544E+02  0.99299416365E+02  0.00000000000E+00 0.  1.
       -1    1    1    2    0  502 -0.12703274096E+02  0.94881800099E+01  0.21464002705E+01  0.16000180211E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -2   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.90261282808E+02  0.90261282808E+02  0.00000000000E+00 0.  1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.34659700886E+02  0.34659700886E+02  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0  0.12900237607E+02 -0.19650892586E+02  0.56438233101E+02  0.10139921303E+03  0.80894700312E+02 0.  0.
       11    1    3    3    0    0  0.41777915531E+00 -0.13453189715E+02 -0.19775697890E+02  0.23921560985E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.12482458452E+02 -0.61977028711E+01  0.76213930991E+02  0.77477652049E+02  0.00000000000E+00 0.  1.
       21    1    1    2  502  501 -0.12900237607E+02  0.19650892586E+02 -0.83665117906E+00  0.23521770659E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.10582940119E+03  0.10582940119E+03  0.00000000000E+00 0.  1.
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.47677013018E+02  0.47677013018E+02  0.00000000000E+00 0.  1.
       24    2    1    2    0    0 -0.46174707605E+02  0.24247323586E+01  0.54782999479E+02  0.10714548529E+03  0.79630365048E+02 0.  0.
      -11    1    3    3    0    0 -0.58910664285E+02  0.20311052819E+02  0.57786062150E+02  0.84983729101E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.12735956680E+02 -0.17886320461E+02 -0.30030626708E+01  0.22161756193E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502  0.46174707605E+02 -0.24247323586E+01  0.33693886910E+01  0.46360928912E+02  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.16568210004E+02  0.16568210004E+02  0.00000000000E+00 0.  1.
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.18090843558E+03  0.18090843558E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.14298122660E+02  0.19128824373E+02 -0.10914681060E+03  0.13733796178E+03  0.79864518074E+02 0.  0.
       11    1    3    3    0    0  0.24732101941E+02  0.57032992166E+01 -0.86732235229E+02  0.90369713490E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.39030224601E+02  0.13425525156E+02 -0.22414575376E+02  0.46968248290E+02  0.00000000000E+00 0.  1.
        4    1    1    2  501    0  0.14298122660E+02 -0.19128824373E+02 -0.55193414974E+02  0.60138683806E+02  0.00000000000E+00 0. -1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        3   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.18495792720E+02  0.18495792720E+02  0.00000000000E+00 0. -1.
       -4   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00 -0.25638080641E+03  0.25638080641E+03  0.00000000000E+00 0.  1.
      -24    2    1    2    0    0 -0.23765109848E+02 -0.18891690794E+02 -0.22671010958E+03  0.24252609822E+03  0.80621077298E+02 0.  0.
       11    1    3    3    0    0  0.15391923833E+02 -0.29530772632E+02 -0.42995115563E+02  0.54383433266E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0 -0.39157033681E+02  0.10639081838E+02 -0.18371499402E+03  0.18814266496E+03  0.00000000000E+00 0.  1.
       21    1    1    2  502  501  0.23765109848E+02  0.18891690794E+02 -0.11174904108E+02  0.32350500908E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00  0.55637803440E+03  0.55637803440E+03  0.00000000000E+00 0. -1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.10706923466E+02  0.10706923466E+02  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.37787332887E+02  0.21782081675E+02  0.47765837295E+03  0.48628845957E+03  0.80103701863E+02 0.  0.
      -11    1    3    3    0    0 -0.15781312814E+02 -0.13772488385E+02  0.56634764872E+02  0.60384003367E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.53568645701E+02  0.35554570060E+02  0.42102360807E+03  0.42590445620E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0 -0.37787332887E+02 -0.21782081675E+02  0.68012737982E+02  0.80796498294E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.63624879046E+02  0.63624879046E+02  0.00000000000E+00 0. -1.
        2   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.24761785648E+03  0.24761785648E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0 -0.14998386791E+02  0.33933517522E+01 -0.23951715318E+03  0.25362849653E+03  0.81990738144E+02 0.  0.
      -11    1    3    3    0    0 -0.16195816486E+02  0.13071758841E+02 -0.86229585153E+01  0.22528443453E+02  0.00000000000E+00 0.  1.
       12    1    3    3    0    0  0.11974296951E+01 -0.96784070892E+01 -0.23089419466E+03  0.23110005307E+03  0.00000000000E+00 0. -1.
        1    1    1    2  501    0  0.14998386791E+02 -0.33933517522E+01  0.55524175748E+02  0.57614238995E+02  0.00000000000E+00 0. -1.


 6   1  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       -1   -1    0    0    0  501  0.00000000000E+00  0.00000000000E+00  0.50686391312E+01  0.50686391312E+01  0.00000000000E+00 0.  1.
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00 -0.55037642405E+03  0.55037642405E+03  0.00000000000E+00 0. -1.
       24    2    1    2    0    0  0.20759236297E+01  0.21442048402E+02 -0.39526912248E+03  0.40386778545E+03  0.80046474238E+02 0.  0.
      -11    1    3    3    0    0  0.16663534349E+02 -0.13399543695E+02 -0.30841965241E+03  0.30915999603E+03  0.00000000000E+00 0.  1.
       12    1    3    3    0    0 -0.14587610719E+02  0.34841592097E+02 -0.86849470070E+02  0.94707789425E+02  0.00000000000E+00 0. -1.
       -2    1    1    2    0  502 -0.20759236297E+01 -0.21442048402E+02 -0.15003866243E+03  0.15157727773E+03  0.00000000000E+00 0.  1.


 6   2  0.2604700E+01  0.8040000E+02  0.7957747E-01  0.1297830E+00
       21   -1    0    0  501  502  0.00000000000E+00  0.00000000000E+00  0.11321597458E+02  0.11321597458E+02  0.00000000000E+00 0. -1.
        1   -1    0    0  502    0  0.00000000000E+00  0.00000000000E+00 -0.52842610133E+03  0.52842610133E+03  0.00000000000E+00 0. -1.
      -24    2    1    2    0    0 -0.13134478849E+02 -0.45673363954E+02 -0.22469309199E+03  0.24349948443E+03  0.80910089737E+02 0.  0.
       11    1    3    3    0    0 -0.34709861293E+02 -0.39485626089E+02 -0.71919696500E+02  0.89086092536E+02  0.00000000000E+00 0. -1.
      -12    1    3    3    0    0  0.21575382444E+02 -0.61877378650E+01 -0.15277339549E+03  0.15441339189E+03  0.00000000000E+00 0.  1.
        2    1    1    2  501    0  0.13134478849E+02  0.45673363954E+02 -0.29241141188E+03  0.29624821436E+03  0.00000000000E+00 0. -1.

      
pythia8-8.1.86.orig/examples/main27.cc0000644000175000017500000001230512357054677015602 0ustar  sunsun// main27.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Kaluza-Klein gamma*/Z resonances in TeV-sized extra dimensions.

#include 
#include 
#include 

#include "Pythia8/Pythia.h"
using namespace Pythia8;

int main() {

  // Generator.
  Pythia pythia;
  ParticleData& pdt = pythia.particleData;

  // Pick new random number seed for each run, based on clock.
  pythia.readString("Random:setSeed = on");
  pythia.readString("Random:seed = 0");
 
  // Process selection.
  // ANY COMBINATION OF THE PROCESSES FLAGS BELOW IS ALLOWED
  // HERE WE SWITCH ON ONLY THE MU+MU- FINAL STATE.
  // TO SWITCH ALL POSSIBLE FINAL STATES ON, UNCOMMENT ALL
  // THE RELEVANT LINES BELOW:
  //pythia.readString("ExtraDimensionsTEV:ffbar2e+e- = on");
  pythia.readString("ExtraDimensionsTEV:ffbar2mu+mu- = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2tau+tau- = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2uubar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2ddbar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2ccbar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2ssbar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2bbbar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2ttbar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2nuenuebar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2numunumubar = on");
  //pythia.readString("ExtraDimensionsTEV:ffbar2nutaunutaubar = on");

  // Pick KK mass.
  double newMass = 4000.; // GeV
  cout << "|-------------------------" << endl;
  cout << "| KK mass is: " << newMass << endl;
  cout << "|-------------------------" << endl;
  stringstream strm;
  string sNewMass, sNewWidth, sNewLowBound, sNewHighBound;

  // Manually set the mass and therefore the width
  // and the phase space for the sampling
  strm.clear();
  strm << newMass;
  strm >> sNewMass;
  strm.clear();
  strm << newMass / pdt.m0(5000023) * pdt.mWidth(5000023);
  strm >> sNewWidth;
  strm.clear();
  strm << newMass/4.;
  strm >> sNewLowBound;
  strm.clear();
  strm << newMass*2.;
  strm >> sNewHighBound;

  // Feed in KK state information and other generation specifics.
  pythia.readString("5000023:m0 = " + sNewMass);
  pythia.readString("5000023:mWidth = " + sNewWidth);
  pythia.readString("5000023:mMin = " + sNewLowBound);
  pythia.readString("5000023:mMax = " + sNewHighBound);
  //////////////////////////////////////////////////////////////////////////
  pythia.readString("5000023:isResonance = false"); // THIS IS MANDATORY  //
  //////////////////////////////////////////////////////////////////////////
  // 0=(gm+Z), 1=(gm), 2=(Z), 3=(gm+Z+gmKK+ZKK), 4=(m+Z+gmKK), 5=(m+Z+ZKK)
  pythia.readString("ExtraDimensionsTEV:gmZmode = 3");
  // min=0, max=100, default=10
  pythia.readString("ExtraDimensionsTEV:nMax = 100");
  pythia.readString("ExtraDimensionsTEV:mStar = " + sNewMass);
  pythia.readString("PhaseSpace:mHatMin = " + sNewLowBound);
  pythia.readString("PhaseSpace:mHatMax = " + sNewHighBound);

  // Initialize for LHC.
  pythia.readString("Beams:eCM = 14000.");
  pythia.init();

  // Histograms.
  Hist mHatHisto("dN/dmHat", 50, newMass/4., newMass*2.);
  Hist pTmuHisto("(dN/dpT)_mu^-", 50, 1., 2501.);

  vector moms;
  
  // Measure the cpu runtime.
  clock_t start, stop;
  double t = 0.0;
  // Depending on operating system, either of lines below gives warning.
  //assert((start = clock()) != -1); // Start timer; clock_t signed.
  //assert((start = clock()) != -1u); // Start timer; clock_t unsigned.
  // Simpler option, not using assert.
  start = clock();
  
  // Begin event loop. Generate event. Skip if error. List first one.
  for (int iEvent = 0 ; iEvent < 500 ; ++iEvent) {
    if (!pythia.next()) continue;

    // Begin event analysis.
    bool isZ = false;
    bool ismu = false;
    int iZ = 0;
    int imu = 0;
    for (int i = 0 ; i < pythia.event.size() ; ++i) {
      // find the most recent Z
      if (pythia.event[i].id() == 5000023) {
        iZ = i;
        isZ = true;
      }
      // find the final muon who's first mother is the Z
      if (pythia.event[i].id() == 13 && pythia.event[i].isFinal()) {
        moms.clear();
        moms = pythia.event.motherList(i);
        for (int m = 0 ; m < int(moms.size()) ; m++) {
          if( pythia.event[ moms[m] ].id() == 5000023 ) {
            imu = i;
            ismu = true;
            break;
          } // end if 5000023
        } // end for moms.size()
      } // end if final muon
    } // end for event.size()
    if(isZ && ismu) {
      mHatHisto.fill( pythia.event[iZ].m() );
      pTmuHisto.fill( pythia.event[imu].pT() );
    }
    if(iEvent%10 == 0) cout << "Event: " << iEvent << endl << flush;
  } // end for iEvent<500

  // Done. Print results.
  stop = clock(); // Stop timer
  t = (double) (stop-start)/CLOCKS_PER_SEC;

  pythia.stat();
  cout << mHatHisto;
  cout << pTmuHisto;

  cout << "\n" << "|----------------------------------------|" << endl;
  cout << "| CPU Runtime = " << t << " sec" << endl;
  cout << "|----------------------------------------|" << "\n" << endl;
  
  return 0;
}
pythia8-8.1.86.orig/examples/main82.cmnd0000644000175000017500000000107612357054702016127 0ustar  sunsun! main82.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.

// specify statistics parameters
Main:numberOfEvents      = 100  // number of events generated

// specify shower options
HadronLevel:all          = off
SpaceShower:MEafterFirst = off
TimeShower:MEafterFirst  = off

Merging:doUserMerging    = on
Merging:Process          = pp>e+ve
Merging:TMS              = 30.
Merging:nJetMax          = 2

// specify PDF set
PDF:useLHAPDF            = on
PDF:LHAPDFset            = cteq6ll.LHpdf




pythia8-8.1.86.orig/examples/main85.cc0000644000175000017500000002174712357054702015605 0ustar  sunsun// main85.cc is a part of the PYTHIA event generator.
// Copyright (C) 2011 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This program is written by Stefan Prestel.
// It illustrates how to do CKKW-L merging,
// see the Matrix Element Merging page in the online manual.

#include "Pythia8/Pythia.h"
#include "Pythia8/Pythia8ToHepMC.h"
#include 

#include "HepMC/GenEvent.h"
#include "HepMC/IO_GenEvent.h"
// Following line to be used with HepMC 2.04 onwards.
#include "HepMC/Units.h"

using namespace Pythia8;

//==========================================================================

// Example main programm to illustrate merging

int main( int argc, char* argv[] ){

  // Check that correct number of command-line arguments
  if (argc != 4) {
    cerr << " Unexpected number of command-line arguments ("< xsecLO;
  vector nAcceptLO;

  cout << endl << endl << endl;
  cout << "Start estimating ckkwl tree level cross section" << endl;

  while(njetcounterLO >= 0) {

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());
    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Start generation loop
    for( int iEvent=0; iEvent 0 )
      njetcounterLO--;
    else
      break;

  } // end loop over different jet multiplicities

//-----------------------------------------------------------------------------
//-----------------------------------------------------------------------------

  // Switch off cross section estimation.
  pythia.settings.flag("Merging:doXSectionEstimate", false);

  // Switch showering and multiple interaction back on.
  pythia.settings.flag("PartonLevel:FSR",fsr);
  pythia.settings.flag("PartonLevel:ISR",isr);
  pythia.settings.flag("HadronLevel:all",had);
  pythia.settings.flag("PartonLevel:MPI",mpi);

  // Declare sample cross section for output.
  double sigmaTemp  = 0.;
  vector sampleXStree;
  // Cross section an error.
  double sigmaTotal  = 0.;
  double errorTotal  = 0.;

  int sizeLO    = int(xsecLO.size());
  njetcounterLO = nMaxLO;
  iPathTree     = iPath + "_tree";

  while(njetcounterLO >= 0){

    // From njetcounter, choose LHE file
    stringstream in;
    in   << "_" << njetcounterLO << ".lhe";
#ifdef GZIPSUPPORT
    if(access( (iPathTree+in.str()+".gz").c_str(), F_OK) != -1) in << ".gz";
#endif
    string LHEfile = iPathTree + in.str();
    LHAupLHEF lhareader((char*)(LHEfile).c_str());

    cout << endl << endl << endl
         << "Start tree level treatment for " << njetcounterLO << " jets"
         << endl;

    pythia.settings.mode("Merging:nRequested", njetcounterLO);
    pythia.settings.word("Beams:LHEF", LHEfile);
    pythia.init(&lhareader);

    // Remember position in vector of cross section estimates.
    int iNow = sizeLO-1-njetcounterLO;

    // Start generation loop
    for( int iEvent=0; iEventweights().push_back(weight*normhepmc);
      // Fill HepMC event
      ToHepMC.fill_next_event( pythia, hepmcevt );
      // Add the weight of the current event to the cross section.
      sigmaTotal += weight*normhepmc;
      sigmaTemp  += weight*normhepmc;
      errorTotal += pow2(weight*normhepmc);
      // Report cross section to hepmc
      HepMC::GenCrossSection xsec;
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 );
      hepmcevt->set_cross_section( xsec );
      // Write the HepMC event to file. Done with it.
      ascii_io << hepmcevt;
      delete hepmcevt;

    } // end loop over events to generate

    // print cross section, errors
    pythia.stat();
    // Save sample cross section for output.
    sampleXStree.push_back(sigmaTemp);
    sigmaTemp = 0.;

    // Restart with ME of a reduced the number of jets
    if( njetcounterLO > 0 )
      njetcounterLO--;
    else
      break;

  }

  // Print cross section information.
  cout << endl << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Sample cross sections after CKKW-L merging        |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | Leading order cross sections (mb):                |" << endl;
  for (int i = 0; i < int(sampleXStree.size()); ++i)
    cout << " |     " << sampleXStree.size()-1-i << "-jet:  "
         << setw(17) << scientific << setprecision(6)
         << sampleXStree[i] << "                     |" << endl;
  cout << " |                                                   |" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " |---------------------------------------------------|" << endl;
  cout << " | Inclusive cross sections:                         |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | CKKW-L merged inclusive cross section:            |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << sigmaTotal << "  +-  " << setw(17) << sqrt(errorTotal) << " mb "
       << "   |" << endl;
  cout << " |                                                   |" << endl;
  cout << " | LO inclusive cross section:                       |" << endl;
  cout << " |    " << setw(17) << scientific << setprecision(6)
       << xsecLO.back() << " mb                           |" << endl;
  cout << " |                                                   |" << endl;
  cout << " *---------------------------------------------------*" << endl;
  cout << endl << endl;

  // Done
  return 0;

}
pythia8-8.1.86.orig/examples/main18.cc0000644000175000017500000001644412357054676015611 0ustar  sunsun// main18.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how to write an event filter.
// No new functionality is involved - all could be done in the main program
// - but the division of tasks may be more convenient for recurrent cuts.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

//==========================================================================

// The EventFilter class.

// The constructor takes the following arguments
// select = 1 : keep only final particles.
//        = 2 : keep only final visible particles (i.e. not neutrinos).
//        = 3 : keep only final charged particles.
// etaMax (default = 50) : keep only particles with pseudorapidity
//        |eta| < etaMax.
// pTminCharged (default = 0) : keep a charged particle only if
//        its transverse momentum pT < pTminCharged.
// pTminNeutral (default = 0) : keep a neutral particle only if
//        its transverse momentum pT < pTminNeutral.

// Main methods:
// filter( event) takes an event record as input and analyzes it.
// size() returns the number of particles kept.
// index(i) returns the index in the full event of the i'th kept particle.
// particlePtr(i) returns a pointer to the i'th kept particle.
// particleRef(i) returns a reference to the i'th kept particle.
// list() gives a listing of the kept particles only.
        
class EventFilter {

public:

  // Constructor sets properties of filter.
  EventFilter( int selectIn, double etaMaxIn = 50.,
    double pTminChargedIn = 0., double pTminNeutralIn = 0.)
    : select(selectIn), etaMax(etaMaxIn), pTminCharged(pTminChargedIn),
    pTminNeutral(pTminNeutralIn) {}
 
  // Analysis of each new event to find acceptable particles.
  void filter(Event& event);

  // Return size of array, and index of a particle.
  int size()       const {return keptPtrs.size();}
  int index(int i) const {return keptIndx[i];}

  // Return pointer or reference to a particle.
  Particle* particlePtr(int i) {return  keptPtrs[i];}
  Particle& particleRef(int i) {return *keptPtrs[i];}

  // List kept particles only.
  void list(ostream& os = cout);

private:

  // Filter properties, set by constructor.
  int    select;
  double etaMax, pTminCharged, pTminNeutral;

  // Kept particle indices and pointers, referring to original event.
  vector       keptIndx;
  vector keptPtrs;

};

//--------------------------------------------------------------------------

// The filter method.

void EventFilter::filter(Event& event) {

  // Reset arrays in preparation for new event.
  keptIndx.resize(0);
  keptPtrs.resize(0);
  
  // Loop over all particles in the event record.
  for (int i = 0; i < event.size(); ++i) {

    // Skip if particle kind selection criteria not fulfilled.
    if (!event[i].isFinal()) continue;
    if (select == 2 && !event[i].isVisible()) continue;
    bool isCharged = event[i].isCharged();
    if (select == 3 && !isCharged) continue;

    // Skip if too large pseudorapidity.
    if (abs(event[i].eta()) > etaMax) continue;

    // Skip if too small pT.
    if       (isCharged && event[i].pT() < pTminCharged) continue;
    else if (!isCharged && event[i].pT() < pTminNeutral) continue;

    // Add particle to vectors of indices and pointers.
    keptIndx.push_back( i );
    keptPtrs.push_back( &event[i] );

  // End of particle loop. Done.
  }

}

//--------------------------------------------------------------------------

// The list method: downscaled version of Event::list.

void EventFilter::list(ostream& os) {

  // Header.
  os << "\n --------  PYTHIA Event Listing  (filtered)  ------------------"
     << "-----------------------------------------------------------------"
     << "----\n \n    no        id   name            status     mothers  "
     << " daughters     colours      p_x        p_y        p_z         e  "
     << "        m \n";

  // At high energy switch to scientific format for momenta.
  double eSum = 0.;
  for (int iKept = 0; iKept < size(); ++iKept) eSum += keptPtrs[iKept]->e();
  bool useFixed = (eSum < 1e5);

  // Listing of kept particles in event.
  for (int iKept = 0; iKept < size(); ++iKept) {
    int i = keptIndx[iKept];
    Particle& pt = *keptPtrs[iKept];

    // Basic line for a particle, always printed.
    os << setw(6) << i << setw(10) << pt.id() << "   " << left
       << setw(18) << pt.nameWithStatus(18) << right << setw(4)
       << pt.status() << setw(6) << pt.mother1() << setw(6)
       << pt.mother2() << setw(6) << pt.daughter1() << setw(6)
       << pt.daughter2() << setw(6) << pt.col() << setw(6) << pt.acol()
       << ( (useFixed) ? fixed : scientific ) << setprecision(3)
       << setw(11) << pt.px() << setw(11) << pt.py() << setw(11)
       << pt.pz() << setw(11) << pt.e() << setw(11) << pt.m() << "\n";
  }

  // Listing finished.
  os << "\n --------  End PYTHIA Event Listing  ----------------------------"
     << "-------------------------------------------------------------------"
     << endl;
}


//==========================================================================

// Use the EventFilter method to plot some event properties.

int main() {

  // Number of events to generate, to list, to allow aborts.
  int    nEvent   = 100;
  int    nList    = 1;
  int    nAbort   = 3;

  // Declare generator.
  Pythia pythia;

  // Hard QCD events with pThat > 100.
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 100.");

  // No automatic event listings - do it manually below.
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");
   
  // Initialization for LHC.
  pythia.init();

  // Values for filter.
  int    select   = 3;
  double etaMax   = 3.;
  double pTminChg = 1.;

  // Declare Event Filter according to specification.
  EventFilter filter( select, etaMax, pTminChg);

  // Histograms.
  Hist nCharged(   "selected charged multiplicity",     100, -0.5, 199.5);
  Hist etaCharged( "selected charged eta distribution", 100, -5.0, 5.0);
  Hist pTCharged(  "selected charged pT distribution",  100,  0.0, 50.0);

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if too many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Find final charged particles with |eta| < 3 and pT > 1 GeV.
    filter.filter( pythia.event);
 
    // List first few events, both complete and after filtering.
    if (iEvent < nList) {
      pythia.info.list();
      pythia.process.list();
      pythia.event.list();
      filter.list();
    }

    // Analyze selected particle sample.
    nCharged.fill( filter.size() );
    for (int i = 0; i < filter.size(); ++i) {
      // Use both reference and pointer notation to illustrate freedom.
      etaCharged.fill( filter.particleRef(i).eta() );
      pTCharged.fill(  filter.particlePtr(i)->pT() );
    }
    
  // End of event loop.
  }

  // Final statistics.
  pythia.stat();

  // Histograms.
  cout << nCharged << etaCharged << pTCharged;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main61.cmnd0000644000175000017500000000530412357054701016121 0ustar  sunsun! File: main61.cmnd
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The changes here are illustrative, not always physics-motivated.

! 1) Settings that will be used in a main program.
Main:numberOfEvents = 200          ! number of events to generate
Main:timesAllowErrors = 3          ! abort run after this many flawed events

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showAllSettings = off         ! list all settings
Init:showChangedParticleData = on  ! list changed particle data
Init:showAllParticleData = off     ! list all particle data
Next:numberCount = 1000            ! print message every n events
Next:numberShowLHA = 1             ! print LHA information n times
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 1           ! print event record n times
Stat:showPartonLevel = on          ! additional statistics on MPI

! 3) Beam parameter settings. Values below agree with default ones.
Beams:idA = 2212                   ! first beam, p = 2212, pbar = -2212
Beams:idB = 2212                   ! second beam, p = 2212, pbar = -2212
Beams:eCM = 14000.                 ! CM energy of collision

! 4) PDF settings. Default is to use internal PDFs
PDF:useLHAPDF = on
! some pdf sets examples: cteq61.LHpdf cteq61.LHgrid MRST2004nlo.LHgrid
PDF:LHAPDFset = MRST2001lo.LHgrid
! Allow extrapolation of PDF's beyond x and Q2 boundaries, at own risk.
! Default behaviour is to freeze PDF's at boundaries.
PDF:extrapolateLHAPDF = on

! 5a) Pick processes and kinematics cuts.
! Colour singlet charmonium production of J/psi and chi_c.
Charmonium:gg2ccbar(3S1)[3S1(1)]g    = on,off
Charmonium:gg2ccbar(3PJ)[3PJ(1)]g    = on,on,on
Charmonium:qg2ccbar(3PJ)[3PJ(1)]q    = on,on,on
Charmonium:qqbar2ccbar(3PJ)[3PJ(1)]g = on,on,on
PhaseSpace:pTHatMin = 20.          ! minimum pT of hard process

! 5b) Alternative beam and process selection from a Les Houches Event File.
! NOTE: to use this option, comment out the lines in section 5a above
! and uncomment the ones below. Section 3 is ignored for frameType = 4.
#Beams:frameType = 4                ! read info from a LHEF
#Beams:LHEF = ttbar.lhe             ! the LHEF to read from

! 6) Other settings. Can be expanded as desired.
! Note: may overwrite some of the values above, so watch out.
#Tune:pp = 6                        ! use Tune 4Cx
#ParticleDecays:limitTau0 = on      ! set long-lived particle stable ...
#ParticleDecays:tau0Max = 10        ! ... if c*tau0 > 10 mm
pythia8-8.1.86.orig/examples/main03.cmnd0000644000175000017500000000515312357054675016131 0ustar  sunsun! main03.cmnd.
! This file contains commands to be read in for a Pythia8 run.
! Lines not beginning with a letter or digit are comments.
! Names are case-insensitive  -  but spellings-sensitive!
! The settings here are illustrative, not always physics-motivated.

! 1) Settings used in the main program.
Main:numberOfEvents = 1000         ! number of events to generate
Main:timesAllowErrors = 3          ! how many aborts before run stops

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = off ! list changed particle data
Next:numberCount = 100             ! print message every n events
Next:numberShowInfo = 1            ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent = 0           ! print event record n times

! 3) Beam parameter settings. Values below agree with default ones.
Beams:idA = 2212                   ! first beam, p = 2212, pbar = -2212
Beams:idB = 2212                   ! second beam, p = 2212, pbar = -2212
Beams:eCM = 14000.                 ! CM energy of collision

! 4) Settings for the hard-process generation.

! Example 1: QCD + prompt photon production; must set pTmin.
HardQCD:all = on                   ! switch on all QCD jet + jet processes
PromptPhoton:all = on              ! swich on gamma + jet and gamma + gamma
PhaseSpace:pTHatMin = 50.          ! minimal pT scale in process

! Example 2: t-tbar production.
#Top:gg2ttbar = on                  ! g g -> t tbar
#Top:qqbar2ttbar = on               ! q qbar -> t tbar

! Example 3: Z0 production; should set mMin.
#WeakSingleBoson:ffbar2gmZ = on     ! q qbar -> gamma*/Z0
#PhaseSpace:mHatMin = 50.

! Example 4: gauge boson pair production; set pTmin. Not yet complete.
#WeakDoubleBoson:ffbar2ZW = on      ! q qbar -> Z0 W+-
#WeakDoubleBoson:ffbar2WW = on      ! q qbar -> W+ W-
#PhaseSpace:pTHatMin = 20.          ! minimal pT scale in process

! 5) Switch on/off the key event generation steps.
#PartonLevel:MPI = off              ! no multiparton interactions
#PartonLevel:ISR = off              ! no initial-state radiation
#PartonLevel:FSR = off              ! no final-state radiation
#HadronLevel:Hadronize = off        ! no hadronization
#HadronLevel:Decay = off            ! no decays

! 6) Other settings. Can be expanded as desired.
#Tune:preferLHAPDF = off            ! use internal PDFs when LHAPDF not linked
Tune:pp = 6                        ! use Tune 4Cx
ParticleDecays:limitTau0 = on      ! set long-lived particle stable ...
ParticleDecays:tau0Max = 10        ! ... if c*tau0 > 10 mm
pythia8-8.1.86.orig/examples/main21.cc0000644000175000017500000003077212357054677015604 0ustar  sunsun// main21.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates how to feed in a single particle (including a resonance)
// or a toy parton-level configurations.

#include "Pythia8/Pythia.h"
using namespace Pythia8;

//==========================================================================

// Single-particle gun. The particle must be a colour singlet.
// Input: flavour, energy, direction (theta, phi).
// If theta < 0 then random choice over solid angle.
// Optional final argument to put particle at rest => E = m.

void fillParticle(int id, double ee, double thetaIn, double phiIn,
  Event& event, ParticleData& pdt, Rndm& rndm, bool atRest = false) {

  // Reset event record to allow for new event.
  event.reset();

  // Select particle mass; where relevant according to Breit-Wigner.
  double mm = pdt.mSel(id);
  double pp = sqrtpos(ee*ee - mm*mm);

  // Special case when particle is supposed to be at rest.
  if (atRest) {
    ee = mm;
    pp = 0.;
  }

  // Angles as input or uniform in solid angle.
  double cThe, sThe, phi;
  if (thetaIn >= 0.) {
    cThe = cos(thetaIn);
    sThe = sin(thetaIn);
    phi  = phiIn;
  } else {
    cThe = 2. * rndm.flat() - 1.;
    sThe = sqrtpos(1. - cThe * cThe);
    phi = 2. * M_PI * rndm.flat();
  }

  // Store the particle in the event record.
  event.append( id, 1, 0, 0, pp * sThe * cos(phi), pp * sThe * sin(phi),
    pp * cThe, ee, mm);

}

//==========================================================================

// Simple method to do the filling of partons into the event record.

void fillPartons(int type, double ee, Event& event, ParticleData& pdt,
  Rndm& rndm) {

  // Reset event record to allow for new event.
  event.reset();

  // Information on a q qbar system, to be hadronized.
  if (type == 1) {
    int    id = 2;
    double mm = pdt.m0(id);
    double pp = sqrtpos(ee*ee - mm*mm);
    event.append(  id, 23, 101,   0, 0., 0.,  pp, ee, mm);
    event.append( -id, 23,   0, 101, 0., 0., -pp, ee, mm);

  // Information on a g g system, to be hadronized.
  } else if (type == 2) {
    event.append( 21, 23, 101, 102, 0., 0.,  ee, ee);
    event.append( 21, 23, 102, 101, 0., 0., -ee, ee);

  // Information on a g g g system, to be hadronized.
  } else if (type == 3) {
    event.append( 21, 23, 101, 102,        0., 0.,        ee, ee);
    event.append( 21, 23, 102, 103,  0.8 * ee, 0., -0.6 * ee, ee);
    event.append( 21, 23, 103, 101, -0.8 * ee, 0., -0.6 * ee, ee);

  // Information on a q q q junction system, to be hadronized.
  } else if (type == 4 || type == 5) {

    // Need a colour singlet mother parton to define junction origin.
    event.append( 1000022, -21, 0, 0, 2, 4, 0, 0,
                  0., 0., 1.01 * ee, 1.01 * ee);

    // The three endpoint q q q; the minimal system.
    double rt75 = sqrt(0.75);
    event.append( 2, 23, 1, 0, 0, 0, 101, 0,
                          0., 0., 1.01 * ee, 1.01 * ee);
    event.append( 2, 23, 1, 0, 0, 0, 102, 0,
                   rt75 * ee, 0., -0.5 * ee,        ee );
    event.append( 1, 23, 1, 0, 0, 0, 103, 0,
                  -rt75 * ee, 0., -0.5 * ee,        ee );

    // Define the qqq configuration as starting point for adding gluons.
    if (type == 5) {
      int colNow[4] = {0, 101, 102, 103};
      Vec4 pQ[4];
      pQ[1] = Vec4(0., 0., 1., 0.);
      pQ[2] = Vec4( rt75, 0., -0.5, 0.);
      pQ[3] = Vec4(-rt75, 0., -0.5, 0.);

      // Minimal cos(q-g opening angle), allows more or less nasty events.
      double cosThetaMin =0.;
      
      // Add a few gluons (almost) at random.
      for (int nglu = 0; nglu < 5; ++nglu) {
        int iq = 1 + int( 2.99999 * rndm.flat() );
        double px, py, pz, e, prod;
        do {
          e =  ee * rndm.flat();
          double cThe = 2. * rndm.flat() - 1.;
          double phi = 2. * M_PI * rndm.flat();
          px = e * sqrt(1. - cThe*cThe) * cos(phi);
          py = e * sqrt(1. - cThe*cThe) * sin(phi);
          pz = e * cThe;
          prod = ( px * pQ[iq].px() + py * pQ[iq].py() + pz * pQ[iq].pz() )
            / e;
        } while (prod < cosThetaMin);
        int colNew = 104 + nglu;
        event.append( 21, 23, 1, 0, 0, 0, colNew, colNow[iq],
          px, py, pz, e, 0.);
        colNow[iq] = colNew;
      }
      // Update daughter range of mother.
      event[1].daughters(2, event.size() - 1);
 
    }

  // Information on a q q qbar qbar dijunction system, to be hadronized.
  } else if (type >= 6) {

    // The two fictitious beam remnant particles; needed for junctions.
    event.append( 2212, -12, 0, 0, 3, 5, 0, 0, 0., 0., ee, ee, 0.);
    event.append(-2212, -12, 0, 0, 6, 8, 0, 0, 0., 0., ee, ee, 0.);

    // Opening angle between "diquark" legs.
    double theta = 0.2;
    double cThe = cos(theta);
    double sThe = sin(theta);

    // Set one colour depending on whether more gluons or not.
    int acol = (type == 6) ? 103 : 106;

    // The four endpoint q q qbar qbar; the minimal system.
    // Two additional fictitious partons to make up original beams.
    event.append(  2,   23, 1, 0, 0, 0, 101, 0,
                  ee * sThe, 0.,  ee * cThe, ee, 0.);
    event.append(  1,   23, 1, 0, 0, 0, 102, 0,
                 -ee * sThe, 0.,  ee * cThe, ee, 0.);
    event.append(  2, -21, 1, 0, 0, 0, 103, 0,
                         0., 0.,  ee       , ee, 0.);
    event.append( -2,   23, 2, 0, 0, 0, 0, 104,
                  ee * sThe, 0., -ee * cThe, ee, 0.);
    event.append( -1,   23, 2, 0, 0, 0, 0, 105,
                 -ee * sThe, 0., -ee * cThe, ee, 0.);
    event.append( -2, -21, 2, 0, 0, 0, 0, acol,
                         0., 0., -ee       , ee, 0.);

    // Add extra gluons on string between junctions.
    if (type == 7) {
      event.append( 21, 23, 5, 8, 0, 0, 103, 106, 0., ee, 0., ee, 0.);
    } else if (type == 8) {
      event.append( 21, 23, 5, 8, 0, 0, 103, 108, 0., ee, 0., ee, 0.);
      event.append( 21, 23, 5, 8, 0, 0, 108, 106, 0.,-ee, 0., ee, 0.);
    } else if (type == 9) {
      event.append( 21, 23, 5, 8, 0, 0, 103, 107, 0., ee, 0., ee, 0.);
      event.append( 21, 23, 5, 8, 0, 0, 107, 108, ee, 0., 0., ee, 0.);
      event.append( 21, 23, 5, 8, 0, 0, 108, 106, 0.,-ee, 0., ee, 0.);
    } else if (type == 10) {
      event.append( 21, 23, 5, 8, 0, 0, 103, 107, 0., ee, 0., ee, 0.);
      event.append( 21, 23, 5, 8, 0, 0, 107, 108, ee, 0., 0., ee, 0.);
      event.append( 21, 23, 5, 8, 0, 0, 108, 109, 0.,-ee, 0., ee, 0.);
      event.append( 21, 23, 5, 8, 0, 0, 109, 106,-ee, 0., 0., ee, 0.);
    }

  // No more cases: done.
  }
}

//==========================================================================

int main() {

  // Pick kind of events to generate:
  // 0 = single-particle gun.
  // 1 = q qbar.
  // 2 = g g.
  // 3 = g g g.
  // 4 = minimal q q q junction topology.
  // 5 = q q q junction topology with gluons on the strings.
  // 6 = q q qbar qbar dijunction topology, no gluons.
  // 7 - 10 : ditto, but with 1 - 4 gluons on string between junctions.
  // 11 : single-resonance gun.
  int type = 11;

  // Set particle species and energy for single-particle gun.
  int    idGun  = (type == 0) ? 15 : 25;
  double eeGun  = (type == 0) ? 20. : 125.;
  bool   atRest = (type == 0) ? false : true;

  // Set typical energy per parton.
  double ee = 20.0;

  // Set number of events to generate and to list.
  int nEvent = 10000;
  int nList = 3;

  // Generator; shorthand for event and particleData.
  Pythia pythia;
  Event& event      = pythia.event;
  ParticleData& pdt = pythia.particleData;

  // Key requirement: switch off ProcessLevel, and thereby also PartonLevel.
  pythia.readString("ProcessLevel:all = off");

  // Optionally switch off resonance decays, or only showers in them.
  //pythia.readString("ProcessLevel:resonanceDecays = off");
  //pythia.readString("PartonLevel:FSRinResonances = off");

  // Optionally switch off ordinary decays.
  //pythia.readString("HadronLevel:Decay = off");

  // Switch off automatic event listing in favour of manual.
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");
 
  // Initialize.
  pythia.init();

  // Book histograms.
  Hist epCons("deviation from energy-momentum conservation",100,0.,1e-4);
  Hist chgCons("deviation from charge conservation",57,-9.5,9.5);
  Hist nFinal("final particle multiplicity",100,-0.5,99.5);
  Hist dnparticledp("dn/dp for particles",100,0.,ee);
  Hist status85("multiplicity status code 85",50,-0.5,49.5);
  Hist status86("multiplicity status code 86",50,-0.5,49.5);
  Hist status83("multiplicity status code 83",50,-0.5,49.5);
  Hist status84("multiplicity status code 84",50,-0.5,49.5);
  Hist dndtheta("particle flow in event plane",100,-M_PI,M_PI);
  Hist dedtheta("energy flow in event plane",100,-M_PI,M_PI);
  Hist dpartondtheta("parton flow in event plane",100,-M_PI,M_PI);
  Hist dndyAnti("dn/dy primaries antijunction",100, -10., 10.);
  Hist dndyJun("dn/dy primaries junction",100, -10., 10.);
  Hist dndySum("dn/dy all primaries",100, -10., 10.);
  
  // Begin of event loop.
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Set up single particle, with random direction in solid angle.
    if (type == 0 || type == 11) fillParticle( idGun, eeGun, -1., 0.,
      event, pdt, pythia.rndm, atRest);

    // Set up parton-level configuration.
    else fillPartons( type, ee, event, pdt, pythia.rndm);

    // Generate events. Quit if failure.
    if (!pythia.next()) {
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }
 
    // List first few events.
    if (iEvent < nList) {
      event.list();
      // Also list junctions.
      event.listJunctions();
    }

    // Initialize statistics.
    Vec4 pSum = - event[0].p();
    double chargeSum = 0.;
    if (type == 0) chargeSum = -event[1].charge();
    if (type == 4 || type == 5) chargeSum = -1;
    int nFin = 0;
    int n85 = 0;
    int n86 = 0;
    int n83 = 0;
    int n84 = 0;
                          
    // Loop over all particles.
    for (int i = 0; i < event.size(); ++i) {
      int status = event[i].statusAbs();

      // Find any unrecognized particle codes.
      int id = event[i].id();
      if (id == 0 || !pdt.isParticle(id))
        cout << " Error! Unknown code id = " << id << "\n";

      // Find particles with E-p mismatch.
      double eCalc = event[i].eCalc();
      if (abs(eCalc/event[i].e() - 1.) > 1e-6) cout << " e mismatch, i = "
        << i << " e_nominal = " << event[i].e() << " e-from-p = "
        << eCalc << " m-from-e " << event[i].mCalc() << "\n";

      // Parton flow in event plane.
      if (status == 71 || status == 72) {
        double thetaXZ = event[i].thetaXZ();
        dpartondtheta.fill(thetaXZ);
      }

      // Origin of primary hadrons.
      if (status == 85) ++n85;
      if (status == 86) ++n86;
      if (status == 83) ++n83;
      if (status == 84) ++n84;

      // Flow of primary hadrons in the event plane.
      if (status > 80 && status < 90) {
        double eAbs = event[i].e();
        if (eAbs < 0.) {cout << " e < 0 line " << i; event.list();}
        double thetaXZ = event[i].thetaXZ();
        dndtheta.fill(thetaXZ);
        dedtheta.fill(thetaXZ, eAbs);
 
        // Rapidity distribution of primary hadrons.
        double y = event[i].y();
        dndySum.fill(y);
        if (type >= 6) {
          int motherId = event[event[i].mother1()].id();
          if (motherId > 0 ) dndyJun.fill(event[i].y());
          else dndyAnti.fill(event[i].y());
        }
      }

      // Study final-state particles.
      if (event[i].isFinal()) {
        pSum += event[i].p();
        chargeSum += event[i].charge();
        nFin++;
        double pAbs = event[i].pAbs();
        dnparticledp.fill(pAbs);
      }
    }
 
    // Fill histograms once for each event.
    double epDev = abs(pSum.e()) + abs(pSum.px()) + abs(pSum.py())
      + abs(pSum.pz());
    epCons.fill(epDev);
    chgCons.fill(chargeSum);
    nFinal.fill(nFin);
    status85.fill(n85);
    status86.fill(n86);
    status83.fill(n83);
    status84.fill(n84);
    if (epDev > 1e-3  || abs(chargeSum) > 0.1) event.list();
                       
  // End of event loop.
  }

  // Print statistics, histograms and done.
  pythia.stat();
  cout << epCons << chgCons << nFinal << dnparticledp
       << dndtheta << dedtheta << dpartondtheta << dndySum;
  if (type >= 4) cout << status85 << status86 << status83
       << status84;
  if (type >= 6) cout << dndyJun << dndyAnti;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main17.cc0000644000175000017500000001336712357054676015611 0ustar  sunsun// main17.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates
// (a) how to use UserHooks to regularize onium cross section for pT -> 0,
// (b) how decays could be handled externally.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

//==========================================================================

// A derived class to do J/psi decays.

class JpsiDecay : public DecayHandler {

public:

  // Constructor.
  JpsiDecay(ParticleData* pdtPtrIn, Rndm* rndmPtrIn) {times = 0;
    pdtPtr = pdtPtrIn; rndmPtr = rndmPtrIn;}

  // Routine for doing the decay.
  bool decay(vector& idProd, vector& mProd,
    vector& pProd, int iDec, const Event& event);

private:

  // Count number of times JpsiDecay is called.
  int times;

  // Pointer to the particle data table.
  ParticleData* pdtPtr;

  // Pointer to the random number generator.
  Rndm* rndmPtr;

};

//--------------------------------------------------------------------------

// The actual J/psi decay routine.
// Not intended for realism, just to illustrate the principles.

bool JpsiDecay::decay(vector& idProd, vector& mProd,
  vector& pProd, int iDec, const Event& event) {

  // Always do decay J/psi -> mu+ mu-; store the muons.
  idProd.push_back(-13);
  idProd.push_back(13);
  
  // Muon mass(es), here from Pythia tables, also stored.
  double mMuon = pdtPtr->m0(13);
  mProd.push_back(mMuon);
  mProd.push_back(mMuon);

  // Calculate muon energy and momentum in J/psi rest frame.
  double eMuon = 0.5 * mProd[0];
  double pAbsMuon = sqrt(eMuon * eMuon - mMuon * mMuon);

  // Assume decay angles isotropic in rest frame.
  double cosTheta = 2. * rndmPtr->flat() - 1.;
  double sinTheta = sqrt(max(0., 1. - cosTheta * cosTheta));
  double phi = 2. * M_PI * rndmPtr->flat();
  double pxMuon = pAbsMuon * sinTheta * cos(phi);
  double pyMuon = pAbsMuon * sinTheta * sin(phi);
  double pzMuon = pAbsMuon * cosTheta;

  // Define mu+ and mu- four-vectors in the J/psi rest frame.
  Vec4 pMuPlus(   pxMuon,  pyMuon,  pzMuon, eMuon);
  Vec4 pMuMinus( -pxMuon, -pyMuon, -pzMuon, eMuon);

  // Boost them by velocity vector of the J/psi mother and store.
  pMuPlus.bst(pProd[0]);
  pMuMinus.bst(pProd[0]);
  pProd.push_back(pMuPlus);
  pProd.push_back(pMuMinus);

  // Print message the first few times, to show that it works.
  if (times++ < 10) {
    int iMother = event[iDec].mother1();
    int idMother = event[iMother].id();
    cout << "\n J/psi decay performed, J/psi in line " << iDec
         << ", mother id = " << idMother << "\n";
  }

  // Done
  return true;

}

//==========================================================================

int main() {

  // Number of events to generate and to list. Max number of errors.
  int nEvent = 2000;
  int nList  = 2;
  int nAbort = 5;

  // Pythia generator.
  Pythia pythia;

  // Initialization for charmonium (singlet+octet) production at the LHC.
  pythia.readString("Charmonium:all = on");
  pythia.readString("Beams:eCM = 7000.");

  // Normally cutoff at pTHat = 1, but push it lower combined with dampening.
  pythia.readString("PhaseSpace:pTHatMin = 0.5");
  pythia.readString("PhaseSpace:pTHatMinDiverge = 0.5");

  // Set up to do a user veto and send it in.
  // First argument: multiplies the pT0 of multiparton interactions
  // to define the pT dampeing scale.
  // Second argument: howe many powers of alpha_strong to
  // reweight with new (larger) argument.
  // Third argument: choice of process scale two different ways;
  // probably does not make much difference.
  // See "User Hooks" in manual for detail on SuppressSmallPT.
  UserHooks* oniumUserHook = new SuppressSmallPT( 1., 3, false);
  pythia.setUserHooksPtr( oniumUserHook);

  // A class to do J/psi decays externally.
  DecayHandler* handleDecays = new JpsiDecay(&pythia.particleData,
    &pythia.rndm);

  // The list of particles the class can handle.
  vector handledParticles;
  handledParticles.push_back(443);

  // Hand pointer and list to Pythia.
  pythia.setDecayPtr( handleDecays, handledParticles);

  // Switch off automatic event listing in favour of manual.
  pythia.readString("Next:numberShowInfo = 0");
  pythia.readString("Next:numberShowProcess = 0");
  pythia.readString("Next:numberShowEvent = 0");

  // Initialization.
  pythia.init();

  // Book histograms.
  Hist pThard("pTHat of hard subprocess", 100, 0., 50.);
  Hist pTJPsi("pT of J/Psi", 100, 0., 50.);

  // Begin event loop.
  int iList = 0;
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Histogram pThard spectrum of process.
    double pTHat = pythia.info.pTHat();
    pThard.fill( pTHat );

    // Look for event with externally handled decays.
    bool externalDecay = false;
    for (int i = 0; i < pythia.event.size(); ++i) {
      int status = pythia.event[i].statusAbs();
      if (status == 93 || status == 94) {externalDecay = true; break;}
    }
 
    // List first few events with external decay.
    if (externalDecay && ++iList <= nList) {
      pythia.process.list();
      pythia.event.list();
    }

    // Histogram pT spectrum of J/Psi.
   for (int i = 0; i < pythia.event.size(); ++i)
   if (pythia.event[i].id() == 443) pTJPsi.fill( pythia.event[i].pT() );

  // End of event loop.
  }

  // Final statistics. Print histograms.
  pythia.stat();
  cout << pThard << pTJPsi;

  // Done.
  delete handleDecays;
  delete oniumUserHook;
  return 0;
}
pythia8-8.1.86.orig/examples/GeneratorInput.h0000644000175000017500000012070012357054675017312 0ustar  sunsun// GeneratorInput.h is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Primary Author: Richard Corke
// Secondary Author: Stephen Mrenna
// This file provides the following classes:
//   AlpgenPar:   a class for parsing ALPGEN parameter files
//                and reading back out the values
//   LHAupAlpgen: an LHAup derived class for reading in ALPGEN
//                format event files
//   AlpgenHooks: a UserHooks derived class for providing
//                'Alpgen:*' user options
//   MadgraphPar: a class for parsing MadGraph parameter files
//                and reading back out the values
// Example usage is shown in main32.cc, and further details
// can be found in the 'Jet Matching Style' manual page.
// Minor changes were made by the secondary author for integration
// with Madgraph-style matching, and Madgraph input was added.

#ifndef Pythia8_GeneratorInput_H
#define Pythia8_GeneratorInput_H

// Includes and namespace
#include "Pythia8/Pythia.h"
using namespace Pythia8;

//==========================================================================

// AlpgenPar: Class to parse ALPGEN parameter files and make them
//            available through a simple interface

class AlpgenPar {

public:

  // Constructor
  AlpgenPar(Info *infoPtrIn = NULL) : infoPtr(infoPtrIn) {}

  // Parse as incoming ALPGEN parameter file (passed as string)
  bool parse(const string paramStr);

  // Parse an incoming parameter line
  void extractRunParam(string line);

  // Check if a parameter exists
  bool haveParam(const string ¶mIn) {
    return (params.find(paramIn) == params.end()) ? false : true; }

  // Get a parameter as a double or integer.
  // Caller should have already checked existance of the parameter.
  double getParam(const string ¶mIn) {
    return (haveParam(paramIn)) ? params[paramIn] : 0.; }
  int    getParamAsInt(const string ¶mIn) {
    return (haveParam(paramIn)) ? int(params[paramIn]) : 0.; }

  // Print parameters read from the '.par' file
  void printParams();

private:

  // Warn if a parameter is going to be overwriten
  void warnParamOverwrite(const string ¶mIn, double val);

  // Simple string trimmer
  static string trim(string s);

  // Storage for parameters
  map params;

  // Info pointer if provided
  Info* infoPtr;

  // Constants
  static const double ZEROTHRESHOLD;

};

//==========================================================================

// LHAupAlpgen: LHAup derived class for reading in ALPGEN format
//              event files.

class LHAupAlpgen : public LHAup {

public:

  // Constructor and destructor.
  LHAupAlpgen(const char *baseFNin, Info *infoPtrIn = NULL);
  ~LHAupAlpgen() { closeFile(isUnw, ifsUnw); }

  // Override fileFound routine from LHAup.
  bool fileFound() { return (isUnw != NULL); }

  // Override setInit/setEvent routines from LHAup.
  bool setInit();
  bool setEvent(int, double);

  // Print list of particles; mainly intended for debugging
  void printParticles();

private:

  // Add resonances to incoming event.
  bool addResonances();

  // Rescale momenta to remove any imbalances.
  bool rescaleMomenta();

  // Class variables
  string    baseFN, parFN, unwFN;  // Incoming filenames
  AlpgenPar alpgenPar;             // Parameter database
  int      lprup;                  // Process code
  double   ebmupA, ebmupB;         // Beam energies
  int      ihvy1, ihvy2;           // Heavy flavours for certain processes
  double   mb;                     // Bottom mass
  ifstream  ifsUnw;                // Input file stream for 'unw' file
  istream*  isUnw;                 // Input stream for 'unw' file
  vector myParticles; // Local storage for particles

  // Constants
  static const bool   LHADEBUG, LHADEBUGRESCALE;
  static const double ZEROTHRESHOLD, EWARNTHRESHOLD, PTWARNTHRESHOLD,
                      INCOMINGMIN;

};

//==========================================================================

// AlpgenHooks: provides Alpgen file reading options.
// Note that it is defined with virtual inheritance, so that it can
// be combined with other UserHooks classes, see e.g. main32.cc.

class AlpgenHooks : virtual public UserHooks {

public:

  // Constructor and destructor
  AlpgenHooks(Pythia &pythia);
  ~AlpgenHooks() { if (LHAagPtr) delete LHAagPtr; }

  // Override initAfterBeams routine from UserHooks
  bool initAfterBeams();

private:

  // LHAupAlpgen pointer
  LHAupAlpgen* LHAagPtr;

};

//==========================================================================

// MadgraphPar: Class to parse the Madgraph header parameters and
//               make them available through a simple interface

class MadgraphPar {

public:

  // Constructor
  MadgraphPar(Info *infoPtrIn = NULL) : infoPtr(infoPtrIn) {}

  // Parse an incoming Madgraph parameter file string
  bool parse(const string paramStr);

  // Parse an incoming parameter line
  void extractRunParam(string line);

  // Check if a parameter exists
  bool haveParam(const string ¶mIn) {
    return (params.find(paramIn) == params.end()) ? false : true; }

  // Get a parameter as a double or integer.
  // Caller should have already checked existance of the parameter.
  double getParam(const string ¶mIn) {
    return (haveParam(paramIn)) ? params[paramIn] : 0.; }
  int    getParamAsInt(const string ¶mIn) {
    return (haveParam(paramIn)) ? int(params[paramIn]) : 0.; }

  // Print parameters read from the '.par' file
  void printParams();

private:

  // Warn if a parameter is going to be overwriten
  void warnParamOverwrite(const string ¶mIn, double val);

  // Simple string trimmer
  static string trim(string s);

  // Storage for parameters
  map params;

  // Info pointer if provided
  Info *infoPtr;

  // Constants
  static const double ZEROTHRESHOLD;

};

//==========================================================================

// Main implementation of AlpgenPar class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// A zero threshold value for double comparisons.
const double AlpgenPar::ZEROTHRESHOLD = 1e-10;

//--------------------------------------------------------------------------

// Warn if e/pT imbalance greater than these values
// Parse an incoming Alpgen parameter file string

bool AlpgenPar::parse(const string paramStr) {

  // Read par file in blocks:
  //   0 - process information
  //   1 - run parameters
  //   2 - cross sections
  int block = 0;

  // Loop over incoming lines
  stringstream paramStream(paramStr);
  string line;
  while (getline(paramStream, line)) {

    // Change to 'run parameters' block
    if        (line.find("run parameters") != string::npos) {
      block = 1;

    // End of 'run parameters' block
    } else if (line.find("end parameters") != string::npos) {
      block = 2;

    // Do not extract anything from block 0 so far
    } else if (block == 0) {

    // Block 1 or 2: extract parameters
    } else {
      extractRunParam(line);

    }
  } // while (getline(paramStream, line))

  return true;
}

//--------------------------------------------------------------------------

// Parse an incoming parameter line

void AlpgenPar::extractRunParam(string line) {

  // Extract information to the right of the final '!' character
  size_t idx = line.rfind("!");
  if (idx == string::npos) return;
  string paramName = trim(line.substr(idx + 1));
  string paramVal  = trim(line.substr(0, idx));
  istringstream iss(paramVal);

  // Special case: 'hard process code' - single integer input
  double val;
  if (paramName == "hard process code") {
    iss >> val;
    warnParamOverwrite("hpc", val);
    params["hpc"] = val;

  // Special case: 'Crosssection +- error (pb)' - two double values
  } else if (paramName.find("Crosssection") == 0) {
    double xerrup;
    iss >> val >> xerrup;
    warnParamOverwrite("xsecup", val);
    warnParamOverwrite("xerrup", val);
    params["xsecup"] = val;
    params["xerrup"] = xerrup;

  // Special case: 'unwtd events, lum (pb-1)' - integer and double values
  } else if (paramName.find("unwtd events") == 0) {
    int nevent;
    iss >> nevent >> val;
    warnParamOverwrite("nevent", val);
    warnParamOverwrite("lum", val);
    params["nevent"] = nevent;
    params["lum"]    = val;

  // Special case: 'mc,mb,...' - split on ',' for name and ' ' for values
  } else if (paramName.find(",") != string::npos) {
    
    // Simple tokeniser
    string        paramNameNow;
    istringstream issName(paramName);
    while (getline(issName, paramNameNow, ',')) {
      iss >> val;
      warnParamOverwrite(paramNameNow, val);
      params[paramNameNow] = val;
    }

  // Default case: assume integer and double on the left
  } else {
    int paramIdx;
    iss >> paramIdx >> val;
    warnParamOverwrite(paramName, val);
    params[paramName] = val;
  }
}

//--------------------------------------------------------------------------

// Print parameters read from the '.par' file

void AlpgenPar::printParams() {

  // Loop over all stored parameters and print
  cout << fixed << setprecision(3) << endl
       << " *-------  Alpgen parameters  -------*" << endl;
  for (map < string, double >::iterator it = params.begin();
       it != params.end(); ++it)
    cout << " |  " << left << setw(13) << it->first
         << "  |  " << right << setw(13) << it->second
         << "  |" << endl;
  cout << " *-----------------------------------*" << endl;
}

//--------------------------------------------------------------------------

// Warn if a parameter is going to be overwriten

void AlpgenPar::warnParamOverwrite(const string ¶mIn, double val) {

  // Check if present and if new value is different
  if (haveParam(paramIn) &&
      abs(getParam(paramIn) - val) > ZEROTHRESHOLD) {
    if (infoPtr) infoPtr->errorMsg("Warning in LHAupAlpgen::"
        "warnParamOverwrite: overwriting existing parameter", paramIn);
  }
}

//--------------------------------------------------------------------------

// Simple string trimmer

string AlpgenPar::trim(string s) {

  // Remove whitespace in incoming string
  size_t i;
  if ((i = s.find_last_not_of(" \t\r\n")) != string::npos)
    s = s.substr(0, i + 1);
  if ((i = s.find_first_not_of(" \t\r\n")) != string::npos)
    s = s.substr(i);
  return s;
}

//==========================================================================

// Main implementation of LHAupAlpgen class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

// ----------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Debug flag to print all particles in each event.
const bool LHAupAlpgen::LHADEBUG        = false;

// Debug flag to print particles when an e/p imbalance is found.
const bool LHAupAlpgen::LHADEBUGRESCALE = false;

// A zero threshold value for double comparisons.
const double LHAupAlpgen::ZEROTHRESHOLD   = 1e-10;

// Warn if e/pT imbalance greater than these values
const double LHAupAlpgen::EWARNTHRESHOLD  = 3e-3;
const double LHAupAlpgen::PTWARNTHRESHOLD = 1e-3;

// If incoming e/pZ is 0, it is reset to this value
const double LHAupAlpgen::INCOMINGMIN     = 1e-3;

// ----------------------------------------------------------------------

// Constructor. Opens parameter file and parses then opens event file.

LHAupAlpgen::LHAupAlpgen(const char* baseFNin, Info* infoPtrIn)
  : baseFN(baseFNin), alpgenPar(infoPtrIn), isUnw(NULL) {

  // Set the info pointer if given
  if (infoPtrIn) setPtr(infoPtrIn);

  // Read in '_unw.par' file to get parameters
  ifstream  ifsPar;
  istream*  isPar = NULL;

  // Try gzip file first then normal file afterwards
#ifdef GZIPSUPPORT
  parFN = baseFN + "_unw.par.gz";
  isPar = openFile(parFN.c_str(), ifsPar);
  if (!ifsPar.is_open()) closeFile(isPar, ifsPar);
#endif
  if (isPar == NULL) {
    parFN = baseFN + "_unw.par";
    isPar = openFile(parFN.c_str(), ifsPar);
    if (!ifsPar.is_open()) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::LHAupAlpgen: "
          "cannot open parameter file", parFN);
      closeFile(isPar, ifsPar);
      return;
    }
  }

  // Read entire contents into string and close file
  string paramStr((istreambuf_iterator(isPar->rdbuf())),
                   istreambuf_iterator());

  // Make sure we reached EOF and not other error
  if (ifsPar.bad()) {
    if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::LHAupAlpgen: "
        "cannot read parameter file", parFN);
    return;
  }
  closeFile(isPar, ifsPar);

  // Parse file and set LHEF header
  alpgenPar.parse(paramStr);
  if (infoPtr) setInfoHeader("AlpgenPar", paramStr);

  // Open '.unw' events file (with possible gzip support)
#ifdef GZIPSUPPORT
  unwFN = baseFN + ".unw.gz";
  isUnw = openFile(unwFN.c_str(), ifsUnw);
  if (!ifsUnw.is_open()) closeFile(isUnw, ifsUnw);
#endif
  if (isUnw == NULL) {
    unwFN = baseFN + ".unw";
    isUnw = openFile(unwFN.c_str(), ifsUnw);
    if (!ifsUnw.is_open()) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::LHAupAlpgen: "
          "cannot open event file", unwFN);
      closeFile(isUnw, ifsUnw);
    }
  }
}

// ----------------------------------------------------------------------

// setInit is a virtual method that must be finalised here.
// Sets up beams, strategy and processes.

bool LHAupAlpgen::setInit() {

  // Check that all required parameters are present
  if (!alpgenPar.haveParam("ih2") || !alpgenPar.haveParam("ebeam")  ||
      !alpgenPar.haveParam("hpc") || !alpgenPar.haveParam("xsecup") ||
      !alpgenPar.haveParam("xerrup")) {
    if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setInit: "
        "missing input parameters");
    return false;
  }

  // Beam IDs
  int ih2 = alpgenPar.getParamAsInt("ih2");
  int idbmupA = 2212;
  int idbmupB = (ih2 == 1) ? 2212 : -2212;

  // Beam energies
  double ebeam = alpgenPar.getParam("ebeam");
  ebmupA = ebeam;
  ebmupB = ebmupA;

  // PDF group and set (at the moment not set)
  int pdfgupA = 0, pdfsupA = 0;
  int pdfgupB = 0, pdfsupB = 0;

  // Strategy is for unweighted events and xmaxup not important
  int    idwtup = 3;
  double xmaxup = 0.;

  // Get hard process code
  lprup = alpgenPar.getParamAsInt("hpc");

  // Check for unsupported processes
  if (lprup == 7 || lprup == 8 || lprup == 13) {
    if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setInit: "
        "process not implemented");
    return false;
  }

  // Depending on the process code, get heavy flavour information:
  //    6 = QQbar           + jets
  //    7 = QQbar + Q'Qbar' + jets
  //    8 = QQbar + Higgs   + jets
  //   16 = QQbar + gamma   + jets
  if (lprup == 6 || lprup == 7 || lprup == 8 || lprup == 16) {
    if (!alpgenPar.haveParam("ihvy")) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setInit: "
          "heavy flavour information not present");
      return false;
    }
    ihvy1 = alpgenPar.getParamAsInt("ihvy");

  } else ihvy1 = -1;
  if (lprup == 7) {
    if (!alpgenPar.haveParam("ihvy2")) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setInit: "
          "heavy flavour information not present");
      return false;
    }
    ihvy2 = alpgenPar.getParamAsInt("ihvy2");
  } else ihvy2 = -1;
  // For single top (process 13), get b mass to set incoming
  mb = -1.;
  if (lprup == 13) {
    if (!alpgenPar.haveParam("mb")) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setInit: "
          "heavy flavour information not present");
      return false;
    }
    mb = alpgenPar.getParam("mb");
  }

  // Set the beams
  setBeamA(idbmupA, ebmupA, pdfgupA, pdfsupA);
  setBeamB(idbmupB, ebmupB, pdfgupB, pdfsupB);
  setStrategy(idwtup);

  // Add the process
  double xsecup = alpgenPar.getParam("xsecup");
  double xerrup = alpgenPar.getParam("xerrup");
  addProcess(lprup, xsecup, xerrup, xmaxup);
  xSecSumSave = xsecup;
  xErrSumSave = xerrup;

  // All okay
  return true;
}

// ----------------------------------------------------------------------

// setEvent is a virtual method that must be finalised here.
// Read in an event from the 'unw' file and setup.

bool LHAupAlpgen::setEvent(int, double) {

  // Read in the first line of the event
  int    nEvent, iProc, nParton;
  double Swgt, Sq;
  string line;
  if (!getline(*isUnw, line)) {
    // Read was bad
    if (ifsUnw.bad()) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setEvent: "
          "could not read events from file");
      return false;
    }
    // End of file reached
    if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setEvent: "
        "end of file reached");
    return false;
  }
  istringstream iss1(line);
  iss1 >> nEvent >> iProc >> nParton >> Swgt >> Sq;

  // Set the process details (ignore alphaQED and alphaQCD parameters)
  double wgtT = Swgt, scaleT = Sq;
  setProcess(lprup, wgtT, scaleT);

  // Incoming flavour and x information for later
  int    id1T, id2T;
  double x1T, x2T;
  // Temporary storage for read in parton information
  int    idT, statusT, mother1T, mother2T, col1T, col2T;
  double pxT, pyT, pzT, eT, mT;
  // Leave tau and spin as default values
  double tauT = 0., spinT = 9.;

  // Store particles locally at first so that resonances can be added
  myParticles.clear();

  // Now read in partons
  for (int i = 0; i < nParton; i++) {
    // Get the next line
    if (!getline(*isUnw, line)) {
      if (infoPtr) infoPtr->errorMsg("Error in LHAupAlpgen::setEvent: "
          "could not read events from file");
      return false;
    }
    istringstream iss2(line);

    // Incoming (flavour, colour, anticolour, pz)
    if (i < 2) {
      // Note that mothers will be set automatically by Pythia, and LHA
      // status -1 is for an incoming parton
      iss2 >> idT >> col1T >> col2T >> pzT;
      statusT  = -1;
      mother1T = mother2T = 0;
      pxT = pyT = mT = 0.;
      eT  = abs(pzT);

      // Adjust when zero pz/e
      if (pzT == 0.) {
        pzT = (i == 0) ? INCOMINGMIN : -INCOMINGMIN;
        eT  = INCOMINGMIN;
      }

    // Outgoing (flavour, colour, anticolour, px, py, pz, mass)
    } else {
      // Note that mothers 1 and 2 corresport to the incoming partons,
      // as set above, and LHA status +1 is for outgoing final state
      iss2 >> idT >> col1T >> col2T >> pxT >> pyT >> pzT >> mT;
      statusT  = 1;
      mother1T = 1;
      mother2T = 2;
      eT = sqrt(max(0., pxT*pxT + pyT*pyT + pzT*pzT + mT*mT));
    }

    // Add particle
    myParticles.push_back(LHAParticle(
        idT, statusT, mother1T, mother2T, col1T, col2T,
        pxT, pyT, pzT, eT, mT, tauT, spinT,-1.));
  }

  // Add resonances if required
  if (!addResonances()) return false;

  // Rescale momenta if required (must be done after full event
  // reconstruction in addResonances)
  if (!rescaleMomenta()) return false;

  // Pass particles on to Pythia
  for (size_t i = 0; i < myParticles.size(); i++)
    addParticle(myParticles[i]);

  // Set incoming flavour/x information and done
  id1T = myParticles[0].idPart;
  x1T  = myParticles[0].ePart / ebmupA;
  id2T = myParticles[1].idPart;
  x2T  = myParticles[1].ePart / ebmupA;
  setIdX(id1T, id2T, x1T, x2T);
  setPdf(id1T, id2T, x1T, x2T, 0., 0., 0., false);
  return true;
}

// ----------------------------------------------------------------------

// Print list of particles; mainly intended for debugging

void LHAupAlpgen::printParticles() {

  cout << endl << "---- LHAupAlpgen particle listing begin ----" << endl;
  cout << scientific << setprecision(6);
  for (int i = 0; i < int(myParticles.size()); i++) {
    cout << setw(5)  << i
         << setw(5)  << myParticles[i].idPart
         << setw(5)  << myParticles[i].statusPart
         << setw(15) << myParticles[i].pxPart
         << setw(15) << myParticles[i].pyPart
         << setw(15) << myParticles[i].pzPart
         << setw(15) << myParticles[i].ePart
         << setw(15) << myParticles[i].mPart
         << setw(5)  << myParticles[i].mother1Part - 1
         << setw(5)  << myParticles[i].mother2Part - 1
         << setw(5)  << myParticles[i].col1Part
         << setw(5)  << myParticles[i].col2Part
         << endl;
  }
  cout << "----  LHAupAlpgen particle listing end  ----" << endl;
}

// ----------------------------------------------------------------------

// Routine to add resonances to an incoming event based on the
// hard process code (now stored in lprup).

bool LHAupAlpgen::addResonances() {

  // Temporary storage for resonance information
  int    idT, statusT, mother1T, mother2T, col1T, col2T;
  double pxT, pyT, pzT, eT, mT;
  // Leave tau and spin as default values
  double tauT = 0., spinT = 9.;

  // Alpgen process dependent parts. Processes:
  //    1 = W        + QQbar         + jets
  //    2 = Z/gamma* + QQbar         + jets
  //    3 = W                        + jets
  //    4 = Z/gamma*                 + jets
  //   10 = W        + c             + jets
  //   14 = W        + gamma         + jets
  //   15 = W        + QQbar + gamma + jets
  // When QQbar = ttbar, tops are not decayed in these processes.
  // Explicitly reconstruct W/Z resonances; assumption is that the
  // decay products are the last two particles.
  if (lprup <= 4 || lprup == 10 || lprup == 14 || lprup == 15) {
    // Decay products are the last two entries
    int i1 = myParticles.size() - 1, i2 = i1 - 1;

    // Follow 'alplib/alpsho.f' procedure to get ID
    if (myParticles[i1].idPart + myParticles[i2].idPart == 0)
      idT = 0;
    else
      idT = - (myParticles[i1].idPart % 2) - (myParticles[i2].idPart % 2);
    idT = (idT > 0) ? 24 : (idT < 0) ? -24 : 23;

    // Check that we get the expected resonance type; Z/gamma*
    if (lprup == 2 || lprup == 4) {
      if (idT != 23) {
        if (infoPtr) infoPtr->errorMsg("Error in "
            "LHAupAlpgen::addResonances: wrong resonance type in event");
        return false;
      }

    // W's
    } else {
      if (abs(idT) != 24) {
        if (infoPtr) infoPtr->errorMsg("Error in "
            "LHAupAlpgen::addResonances: wrong resonance type in event");
        return false;
      }
    }

    // Remaining input
    statusT  = 2;
    mother1T = 1;
    mother2T = 2;
    col1T = col2T = 0;
    pxT = myParticles[i1].pxPart + myParticles[i2].pxPart;
    pyT = myParticles[i1].pyPart + myParticles[i2].pyPart;
    pzT = myParticles[i1].pzPart + myParticles[i2].pzPart;
    eT  = myParticles[i1].ePart  + myParticles[i2].ePart;
    mT  = sqrt(eT*eT - pxT*pxT - pyT*pyT - pzT*pzT);
    myParticles.push_back(LHAParticle(
        idT, statusT, mother1T, mother2T, col1T, col2T,
        pxT, pyT, pzT, eT, mT, tauT, spinT, -1.));

    // Update decay product mothers (note array size as if from 1)
    myParticles[i1].mother1Part = myParticles[i2].mother1Part =
        myParticles.size();
    myParticles[i1].mother2Part = myParticles[i2].mother2Part = 0;

  // Processes:
  //    5 = nW + mZ + j gamma + lH + jets
  //    6 = QQbar         + jets    (QQbar = ttbar)
  //    8 = QQbar + Higgs + jets    (QQbar = ttbar)
  //   13 = top   + q               (topprc = 1)
  //   13 = top   + b               (topprc = 2)
  //   13 = top   + W     + jets    (topprc = 3)
  //   13 = top   + W     + b       (topprc = 4)
  //   16 = QQbar + gamma + jets    (QQbar = ttbar)
  //
  // When tops are present, they are decayed to Wb (both the W and b
  // are not given), with this W also decaying (decay products given).
  // The top is marked intermediate, the (intermediate) W is
  // reconstructed from its decay products, and the decay product mothers
  // updated. The final-state b is reconstructed from (top - W).
  //
  // W/Z resonances are given, as well as their decay products. The
  // W/Z is marked intermediate, and the decay product mothers updated.
  //
  // It is always assumed that decay products are at the end.
  // For processes 5 and 13, it is also assumed that the decay products
  // are in the same order as the resonances.
  // For processes 6, 8 and 16, the possibility of the decay products
  // being out-of-order is also taken into account.
  } else if ( ((lprup == 6 || lprup == 8 || lprup == 16) && ihvy1 == 6) ||
              lprup == 5 || lprup == 13) {

    // Go backwards through the particles looking for W/Z/top
    int idx = myParticles.size() - 1;
    for (int i = myParticles.size() - 1; i > -1; i--) {

      // W or Z
      if (myParticles[i].idPart == 23 ||
          abs(myParticles[i].idPart) == 24) {

        // Check that decay products and resonance match up
        int flav;
        if (myParticles[idx].idPart + myParticles[idx - 1].idPart == 0)
          flav = 0;
        else
          flav = - (myParticles[idx].idPart % 2)
                 - (myParticles[idx - 1].idPart % 2);
        flav = (flav > 0) ? 24 : (flav < 0) ? -24 : 23;
        if (flav != myParticles[i].idPart) {
          if (infoPtr)
            infoPtr->errorMsg("Error in LHAupAlpgen::addResonance: "
                "resonance does not match decay products");
          return false;
        }

        // Update status/mothers
        myParticles[i].statusPart      = 2;
        myParticles[idx  ].mother1Part = i + 1;
        myParticles[idx--].mother2Part = 0;
        myParticles[idx  ].mother1Part = i + 1;
        myParticles[idx--].mother2Part = 0;

      // Top
      } else if (abs(myParticles[i].idPart) == 6) {

        // Check that decay products and resonance match up
        int flav;
        if (myParticles[idx].idPart + myParticles[idx - 1].idPart == 0)
          flav = 0;
        else
          flav = - (myParticles[idx].idPart % 2)
                 - (myParticles[idx - 1].idPart % 2);
        flav = (flav > 0) ? 24 : (flav < 0) ? -24 : 23;

        bool outOfOrder = false, wrongFlavour = false;;
        if ( abs(flav) != 24 ||
             (flav ==  24 && myParticles[i].idPart !=  6) ||
             (flav == -24 && myParticles[i].idPart != -6) ) {

          // Processes 5 and 13, order should always be correct
          if (lprup == 5 || lprup == 13) {
            wrongFlavour = true;

          // Processes 6, 8 and 16, can have out of order decay products
          } else {

            // Go back two decay products and retry
            idx -= 2;
            if (myParticles[idx].idPart + myParticles[idx - 1].idPart == 0)
              flav = 0;
            else
              flav = - (myParticles[idx].idPart % 2)
                     - (myParticles[idx - 1].idPart % 2);
            flav = (flav > 0) ? 24 : (flav < 0) ? -24 : 23;

            // If still the wrong flavour then error
            if ( abs(flav) != 24 ||
                 (flav ==  24 && myParticles[i].idPart !=  6) ||
                 (flav == -24 && myParticles[i].idPart != -6) )
              wrongFlavour = true;
            else outOfOrder = true;
          }

          // Error if wrong flavour
          if (wrongFlavour) {
            if (infoPtr)
              infoPtr->errorMsg("Error in LHAupAlpgen::addResonance: "
                  "resonance does not match decay products");
            return false;
          }
        }

        // Mark t/tbar as now intermediate
        myParticles[i].statusPart = 2;

        // New intermediate W+/W-
        idT      = flav;
        statusT  = 2;
        mother1T = i + 1;
        mother2T = 0;
        col1T = col2T = 0;
        pxT = myParticles[idx].pxPart + myParticles[idx - 1].pxPart;
        pyT = myParticles[idx].pyPart + myParticles[idx - 1].pyPart;
        pzT = myParticles[idx].pzPart + myParticles[idx - 1].pzPart;
        eT  = myParticles[idx].ePart  + myParticles[idx - 1].ePart;
        mT  = sqrt(eT*eT - pxT*pxT - pyT*pyT - pzT*pzT);
        myParticles.push_back(LHAParticle(
            idT, statusT, mother1T, mother2T, col1T, col2T,
            pxT, pyT, pzT, eT, mT, tauT, spinT, -1.));

        // Update the decay product mothers
        myParticles[idx  ].mother1Part = myParticles.size();
        myParticles[idx--].mother2Part = 0;
        myParticles[idx  ].mother1Part = myParticles.size();
        myParticles[idx--].mother2Part = 0;

        // New final-state b/bbar
        idT     = (flav == 24) ? 5 : -5;
        statusT = 1;
        // Colour from top
        col1T   = myParticles[i].col1Part;
        col2T   = myParticles[i].col2Part;
        // Momentum from (t/tbar - W+/W-)
        pxT     = myParticles[i].pxPart - myParticles.back().pxPart;
        pyT     = myParticles[i].pyPart - myParticles.back().pyPart;
        pzT     = myParticles[i].pzPart - myParticles.back().pzPart;
        eT      = myParticles[i].ePart  - myParticles.back().ePart;
        mT      = sqrt(eT*eT - pxT*pxT - pyT*pyT - pzT*pzT);
        myParticles.push_back(LHAParticle(
            idT, statusT, mother1T, mother2T, col1T, col2T,
            pxT, pyT, pzT, eT, mT, tauT, spinT, -1.));

        // If decay products were out of order, reset idx to point
        // at correct decay products
        if (outOfOrder) idx += 4;

      } // if (abs(myParticles[i].idPart) == 6)
    } // for (i)


  // Processes:
  //    7 = QQbar + Q'Qbar' + jets (tops are not decayed)
  //    9 =                   jets
  //   11 = gamma           + jets
  //   12 = Higgs           + jets
  } else if (lprup == 7 || lprup == 9 || lprup == 11 || lprup == 12) {
    // Nothing to do for these processes
  }

  // For single top, set incoming b mass if necessary
  if (lprup == 13) for (int i = 0; i < 2; i++)
    if (abs(myParticles[i].idPart) == 5) {
      myParticles[i].mPart = mb;
      myParticles[i].ePart = sqrt(pow2(myParticles[i].pzPart) + pow2(mb));
    }

  // Debug output and done.
  if (LHADEBUG) printParticles();
  return true;

}

// ----------------------------------------------------------------------

// Routine to rescale momenta to remove any imbalances. The routine
// assumes that any imbalances are due to decimal output/rounding
// effects, and are therefore small.
//
// First any px/py imbalances are fixed by adjusting all outgoing
// particles px/py and also updating their energy so mass is fixed.
// Because incoming pT is zero, changes should be limited to ~0.001.
//
// Second, any pz/e imbalances are fixed by scaling the incoming beams
// (again, no changes to masses required). Because incoming pz/e is not
// zero, effects can be slightly larger ~0.002/0.003.

bool LHAupAlpgen::rescaleMomenta() {

  // Total momenta in/out
  int  nOut = 0;
  Vec4 pIn, pOut;
  for (int i = 0; i < int(myParticles.size()); i++) {
    Vec4 pNow = Vec4(myParticles[i].pxPart, myParticles[i].pyPart,
                     myParticles[i].pzPart, myParticles[i].ePart);
    if (i < 2) pIn += pNow;
    else if (myParticles[i].statusPart == 1) {
      nOut++;
      pOut += pNow;
    }
  }

  // pT out to match pT in. Split any imbalances over all outgoing
  // particles, and scale energies also to keep m^2 fixed.
  if (abs(pOut.pT() - pIn.pT()) > ZEROTHRESHOLD) {
    // Differences in px/py
    double pxDiff = (pOut.px() - pIn.px()) / nOut,
           pyDiff = (pOut.py() - pIn.py()) / nOut;

    // Warn if resulting changes above warning threshold
    if (pxDiff > PTWARNTHRESHOLD || pyDiff > PTWARNTHRESHOLD) {
      if (infoPtr) infoPtr->errorMsg("Warning in LHAupAlpgen::setEvent: "
          "large pT imbalance in incoming event");

      // Debug printout
      if (LHADEBUGRESCALE) {
        printParticles();
        cout << "pxDiff = " << pxDiff << ", pyDiff = " << pyDiff << endl;
      }
    }

    // Adjust all final-state outgoing
    pOut.reset();
    for (int i = 2; i < int(myParticles.size()); i++) {
      if (myParticles[i].statusPart != 1) continue;
      myParticles[i].pxPart -= pxDiff;
      myParticles[i].pyPart -= pyDiff;
      myParticles[i].ePart   = sqrt(max(0., pow2(myParticles[i].pxPart) +
          pow2(myParticles[i].pyPart) + pow2(myParticles[i].pzPart) +
          pow2(myParticles[i].mPart)));
      pOut += Vec4(myParticles[i].pxPart, myParticles[i].pyPart,
                   myParticles[i].pzPart, myParticles[i].ePart);
    }
  }

  // Differences in E/pZ and scaling factors
  double de = (pOut.e()  - pIn.e());
  double dp = (pOut.pz() - pIn.pz());
  double a  = 1 + (de + dp) / 2. / myParticles[0].ePart;
  double b  = 1 + (de - dp) / 2. / myParticles[1].ePart;

  // Warn if resulting energy changes above warning threshold.
  // Change in pz less than or equal to change in energy (incoming b
  // quark can have mass at this stage for process 13). Note that for
  // very small incoming momenta, the relative adjustment may be large,
  // but still small in absolute terms.
  if (abs(a - 1.) * myParticles[0].ePart > EWARNTHRESHOLD ||
      abs(b - 1.) * myParticles[1].ePart > EWARNTHRESHOLD) {
    if (infoPtr) infoPtr->errorMsg("Warning in LHAupAlpgen::setEvent: "
        "large rescaling factor");

    // Debug printout
    if (LHADEBUGRESCALE) {
      printParticles();
      cout << "de = " << de << ", dp = " << dp
           << ", a = " << a << ", b = " << b << endl
           << "Absolute energy change for incoming 0 = "
           << abs(a - 1.) * myParticles[0].ePart << endl
           << "Absolute energy change for incoming 1 = "
           << abs(b - 1.) * myParticles[1].ePart << endl;
    }
  }
  myParticles[0].ePart  *= a;
  myParticles[0].pzPart *= a;
  myParticles[1].ePart  *= b;
  myParticles[1].pzPart *= b;

  // Recalculate resonance four vectors
  for (int i = 0; i < int(myParticles.size()); i++) {
    if (myParticles[i].statusPart != 2) continue;

    // Only mothers stored in LHA, so go through all
    Vec4 resVec;
    for (int j = 0; j < int(myParticles.size()); j++) {
      if (myParticles[j].mother1Part - 1 != i) continue;
      resVec += Vec4(myParticles[j].pxPart, myParticles[j].pyPart,
                     myParticles[j].pzPart, myParticles[j].ePart);
    }

    myParticles[i].pxPart = resVec.px();
    myParticles[i].pyPart = resVec.py();
    myParticles[i].pzPart = resVec.pz();
    myParticles[i].ePart  = resVec.e();
  }

  return true;
}

//==========================================================================

// Main implementation of AlpgenHooks class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

// ----------------------------------------------------------------------

// Constructor: provides the 'Alpgen:file' option by directly
//              changing the Pythia 'Beams' settings

AlpgenHooks::AlpgenHooks(Pythia &pythia) : LHAagPtr(NULL) {

  // If LHAupAlpgen needed, construct and pass to Pythia
  string agFile = pythia.settings.word("Alpgen:file");
  if (agFile != "void") {
    LHAagPtr = new LHAupAlpgen(agFile.c_str(), &pythia.info);
    pythia.settings.mode("Beams:frameType", 5);
    pythia.setLHAupPtr(LHAagPtr);
  }
}

// ----------------------------------------------------------------------

// Initialisation routine which is called by pythia.init().
// This happens after the local pointers have been assigned and after
// Pythia has processed the Beam information (and therefore LHEF header
// information has been read in), but before any other internal
// initialisation. Provides the remaining 'Alpgen:*' options.

bool AlpgenHooks::initAfterBeams() {

  // Read in ALPGEN specific configuration variables
  bool setLightMasses = settingsPtr->flag("Alpgen:setLightMasses");
  bool setHeavyMasses = settingsPtr->flag("Alpgen:setHeavyMasses");
  bool setNjet   = settingsPtr->flag("Alpgen:setNjet");
  bool setMLM    = settingsPtr->flag("Alpgen:setMLM");

  // If ALPGEN parameters are present, then parse in AlpgenPar object
  AlpgenPar par(infoPtr);
  string parStr = infoPtr->header("AlpgenPar");
  if (!parStr.empty()) {
    par.parse(parStr);
    par.printParams();
  }

  // Set masses if requested
  if (setLightMasses) {
    if (par.haveParam("mc")) particleDataPtr->m0(4,  par.getParam("mc"));
    if (par.haveParam("mb")) particleDataPtr->m0(5,  par.getParam("mb"));
  }
  if (setHeavyMasses) {
    if (par.haveParam("mt")) particleDataPtr->m0(6,  par.getParam("mt"));
    if (par.haveParam("mz")) particleDataPtr->m0(23, par.getParam("mz"));
    if (par.haveParam("mw")) particleDataPtr->m0(24, par.getParam("mw"));
    if (par.haveParam("mh")) particleDataPtr->m0(25, par.getParam("mh"));
  }

  // Set MLM:nJets if requested
  if (setNjet) {
    if (par.haveParam("njets"))
      settingsPtr->mode("JetMatching:nJet", par.getParamAsInt("njets"));
    else
      infoPtr->errorMsg("Warning in AlpgenHooks:init: "
          "no ALPGEN nJet parameter found");
  }

  // Set MLM merging parameters if requested
  if (setMLM) {
    if (par.haveParam("ptjmin") && par.haveParam("drjmin") &&
        par.haveParam("etajmax")) {
      double ptjmin = par.getParam("ptjmin");
      ptjmin = max(ptjmin + 5., 1.2 * ptjmin);
      settingsPtr->parm("JetMatching:eTjetMin",   ptjmin);
      settingsPtr->parm("JetMatching:coneRadius", par.getParam("drjmin"));
      settingsPtr->parm("JetMatching:etaJetMax",  par.getParam("etajmax"));

    // Warn if setMLM requested, but parameters not present
    } else {
      infoPtr->errorMsg("Warning in AlpgenHooks:init: "
          "no ALPGEN merging parameters found");
    }
  }

  // Initialisation complete.
  return true;
}

//==========================================================================

// Main implementation of MadgraphPar class.
// This may be split out to a separate C++ file if desired,
// but currently included here for ease of use.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// A zero threshold value for double comparisons.
const double MadgraphPar::ZEROTHRESHOLD = 1e-10;

//--------------------------------------------------------------------------

// Parse an incoming Madgraph parameter file string

bool MadgraphPar::parse(const string paramStr) {

  // Loop over incoming lines
  stringstream paramStream(paramStr);
  string line;
  while ( getline(paramStream, line) ) extractRunParam(line);
  return true;
  
}

//--------------------------------------------------------------------------

// Parse an incoming parameter line

void MadgraphPar::extractRunParam(string line) {

  // Extract information to the right of the final '!' character
  size_t idz = line.find("#");
  if ( !(idz == string::npos) ) return;
  size_t idx = line.find("=");
  size_t idy = line.find("!");
  if (idy == string::npos) idy = line.size();
  if (idx == string::npos) return;
  string paramName = trim( line.substr( idx + 1, idy - idx - 1) );
  string paramVal  = trim( line.substr( 0, idx) );
  replace( paramVal.begin(), paramVal.end(), 'd', 'e');

  // Simple tokeniser
  istringstream iss(paramVal);
  double val;
  if (paramName.find(",") != string::npos) {
    string        paramNameNow;
    istringstream issName( paramName);
    while ( getline(issName, paramNameNow, ',') ) {
      iss >> val;
      warnParamOverwrite( paramNameNow, val);
      params[paramNameNow] = val;
    }

  // Default case: assume integer and double on the left
  } else {
    iss >> val;
    warnParamOverwrite( paramName, val);
    params[paramName] = val;
  }
}

//--------------------------------------------------------------------------

// Print parameters read from the '.par' file

void MadgraphPar::printParams() {

  // Loop over all stored parameters and print
  cout << endl
       << " *--------  Madgraph parameters  --------*" << endl;
  for (map::iterator it = params.begin();
       it != params.end(); ++it)
    cout << " |  " << left << setw(15) << it->first
         << "  |  " << right << setw(15) << it->second
         << "  |" << endl;
  cout << " *---------------------------------------*" << endl;
}

//--------------------------------------------------------------------------

// Warn if a parameter is going to be overwriten

void MadgraphPar::warnParamOverwrite(const string ¶mIn, double val) {

  // Check if present and if new value is different
  if (haveParam(paramIn) &&
      abs(getParam(paramIn) - val) > ZEROTHRESHOLD) {
    if (infoPtr) infoPtr->errorMsg("Warning in LHAupAlpgen::"
        "warnParamOverwrite: overwriting existing parameter", paramIn);
  }
}

//--------------------------------------------------------------------------

// Simple string trimmer

string MadgraphPar::trim(string s) {

  // Remove whitespace in incoming string
  size_t i;
  if ( (i = s.find_last_not_of(" \t\r\n")) != string::npos)
    s = s.substr(0, i + 1);
  if ( (i = s.find_first_not_of(" \t\r\n")) != string::npos)
    s = s.substr(i);
  return s;
}

//==========================================================================

#endif //  Pythia8_GeneratorInput_H
pythia8-8.1.86.orig/examples/main22.cc0000644000175000017500000002107112357054677015575 0ustar  sunsun// main22.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Simple illustration how to provide (a) your own resonance-width class,
// and (b) your own cross-section class, with instances handed in to Pythia.
// The hypothetical scenario is that top would have been so long-lived
// that a toponium resonance Theta could form. Then production could
// proceed via q qbar -> gamma*/Z* -> Theta, with decay either to
// a fermion pair or (dominantly) to three gluons.
// The implementation is not physically correct in any number of ways,
// but should exemplify the strategy needed for realistic cases.

#include "Pythia8/Pythia.h"

using namespace Pythia8;
  
//==========================================================================

// The ResonanceTheta class handles a toponium resonance.

class ResonanceTheta : public ResonanceWidths {

public:

  // Constructor.
  ResonanceTheta(int idResIn) {initBasic(idResIn);}

private:

  // Locally stored properties and couplings.
  double normTheta2qqbar, normTheta2llbar, normTheta2ggg;
 
  // Initialize constants.
  virtual void initConstants();
 
  // Calculate various common prefactors for the current mass.
  // Superfluous here, so skipped.
  //virtual void calcPreFac(bool = false);

  // Calculate width for currently considered channel.
  virtual void calcWidth(bool = false);

};

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceTheta::initConstants() {

  // Dummy normalization of couplings to the allowed decay channels.
  normTheta2qqbar = 0.0001;
  normTheta2llbar = 0.0001;
  normTheta2ggg   = 0.001;
}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceTheta::calcWidth(bool) {

  // Expression for Theta -> q qbar (q up to b). Colour factor.
  if (id1Abs < 6) widNow = 3. * normTheta2qqbar * mHat;

  // Expression for Theta -> l lbar (l = e, mu, tau).
  else if (id1Abs == 11  || id1Abs == 13 || id1Abs == 15)
    widNow = normTheta2llbar * mHat;

  // Expression for Theta -> g g g. Colour factor.
  else if (id1Abs == 21) widNow = 8. * normTheta2ggg * mHat;

}
 
//==========================================================================

// A derived class for q qbar -> Theta (toponium bound state).

class Sigma1qqbar2Theta : public Sigma1Process {

public:

  // Constructor.
  Sigma1qqbar2Theta() {}

  // Initialize process.
  virtual void initProc();

  // Calculate flavour-independent parts of cross section.
  virtual void sigmaKin();

  // Evaluate sigmaHat(sHat). Assumed flavour-independent so simple.
  virtual double sigmaHat() {return sigma;}

  // Select flavour, colour and anticolour.
  virtual void setIdColAcol();

  // Evaluate weight for decay angles.
  virtual double weightDecay( Event& process, int iResBeg, int iResEnd);

  // Info on the subprocess.
  virtual string name()       const {return "q qbar -> Theta";}
  virtual int    code()       const {return 621;}
  virtual string inFlux()     const {return "qqbarSame";}
  virtual int    resonanceA() const {return 663;}

private:

  // Store flavour-specific process information and standard prefactor.
  int    idTheta;
  double mRes, GammaRes, m2Res, GamMRat, normTheta2qqbar, sigma;

  // Pointer to properties of Theta, to access decay width.
  ParticleDataEntry* particlePtr;

};

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1qqbar2Theta::initProc() {

  // Store Theta mass and width for propagator.
  idTheta  = 663;
  mRes     = particleDataPtr->m0(idTheta);
  GammaRes = particleDataPtr->mWidth(idTheta);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Same normlization as in ResonanceTheta for coupling strength.
  normTheta2qqbar = 0.0001;

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(idTheta);
  
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat); first step when inflavours unknown.

void Sigma1qqbar2Theta::sigmaKin() {

  // Incoming width with colour factor.
  double widthIn  = normTheta2qqbar * mH / 3.;

  // Breit-Wigner, including some (guessed) spin factors.
  double sigBW    = 12. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Outgoing width: only includes channels left open.
  double widthOut = particlePtr->resWidthOpen(663, mH);

  // Total answer.
  sigma = widthIn * sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1qqbar2Theta::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idTheta);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 1, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for Theta -> g g g.

double Sigma1qqbar2Theta::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Should be Theta decay. (This is only option here, so overkill.)
  if (iResEnd != iResBeg || process[iResBeg].idAbs() != idTheta)
    return 1.;

  // Should be decay to three gluons.
  int i1 = process[iResBeg].daughter1();
  int i2 = i1 + 1;
  int i3 = i2 + 1;
  if (i3 != process[iResBeg].daughter2() || process[i1].id() != 21)
    return 1.;

  // Energy fractions x_i = 2 E_i/m_Theta of gluons in Theta rest frame.
  double x1 = 2. * process[i1].p() * process[iResBeg].p()
            / process[iResBeg].m2();
  double x2 = 2. * process[i2].p() * process[iResBeg].p()
            / process[iResBeg].m2();
  double x3 = 2. * process[i3].p() * process[iResBeg].p()
            / process[iResBeg].m2();

  // Matrix-element expression for Theta -> g g g.
  double wtME = pow2( (1. - x1) / (x2 * x3) )
    + pow2( (1. - x2) / (x1 * x3) ) + pow2( (1. - x3) / (x1 * x2) );
  double wtMEmax = 2.;
  return wtME / wtMEmax;
 
}

//==========================================================================

int main() {

  // Number of events to generate. Max number of errors.
  // Warning: generation of complete events is much slower than if you use
  // PartonLevel:all = off to only get cross sections, so adjust nEvent.
  int nEvent = 1000;
  int nAbort = 5;

  // Pythia generator.
  Pythia pythia;

  // Create the toponium resonance and a few production/decay channels.
  // Warning: many more exist, e.g. weak ones of one top quark.
  // Note: to obtain the correct width for the Breit-Wigner you must
  // include all channels, but you only need leave those on that you
  // want to study.
  pythia.readString("663:new = Theta void 3 0 0 342.0 0.2 300. 400. 0.");
  pythia.readString("663:addChannel = 1 0. 0 1 -1");
  pythia.readString("663:addChannel = 1 0. 0 2 -2");
  pythia.readString("663:addChannel = 1 0. 0 3 -3");
  pythia.readString("663:addChannel = 1 0. 0 4 -4");
  pythia.readString("663:addChannel = 1 0. 0 5 -5");
  pythia.readString("663:addChannel = 1 0. 0 11 -11");
  pythia.readString("663:addChannel = 1 0. 0 13 -13");
  pythia.readString("663:addChannel = 1 0. 0 15 -15");
  pythia.readString("663:addChannel = 1 0. 0 21 21 21");

  // Create instance of a class to calculate the width of Theta to the
  // above channels. Hand in pointer to Pythia.
  // Note: Pythia will automatically delete this pointer,
  // along with all other resonances.
  ResonanceWidths* resonanceTheta = new ResonanceTheta(663);
  pythia.setResonancePtr(resonanceTheta);

  // Create instance of a class to generate the q qbar -> Theta process
  // from an external matrix element. Hand in pointer to Pythia.
  SigmaProcess* sigma1Theta = new Sigma1qqbar2Theta();
  pythia.setSigmaPtr(sigma1Theta);

  // Optionally only compare cross sections.
  //pythia.readString("PartonLevel:all = off");
  pythia.readString("Check:nErrList = 2");

  // Initialization for LHC.
  pythia.init();

  // Book histogram.
  Hist mTheta("Theta mass", 100, 300., 400.);

  // Begin event loop.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

    // Generate events. Quit if many failures.
    if (!pythia.next()) {
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Fill Theta mass. End of event loop.
    mTheta.fill( pythia.process[5].m() );
  }

  // Final statistics. Print histogram.
  pythia.stat();
  cout << mTheta;
  
  // Done.
  delete sigma1Theta;
  return 0;
}
pythia8-8.1.86.orig/examples/main32.cmnd0000644000175000017500000000616012357054677016134 0ustar  sunsun! 1) Settings used in the main program.
Main:numberOfEvents   = -1         ! number of events to generate (-1 for all)
Main:timesAllowErrors = 3          ! how many aborts before run stops
Main:spareMode1 = 0                ! skip n events at beginning of file

! 2) Settings related to output in init(), next() and stat().
Init:showChangedSettings = on      ! list changed settings
Init:showChangedParticleData = on  ! list changed particle data
Next:numberCount       = 10      ! print message every n events
Next:numberShowInfo    = 1         ! print event information n times
Next:numberShowProcess = 1         ! print process record n times
Next:numberShowEvent   = 1         ! print event record n times

! 3) Enable matching
JetMatching:merge = on

! Madgraph run:
Beams:LHEF = w+_production_lhc_2.lhe
Beams:frameType = 4
JetMatching:scheme = 1
JetMatching:setMad = off
JetMatching:qCut = 20.0
JetMatching:coneRadius = 1.0
JetMatching:etaJetMax = 10.0
JetMatching:nJetMax = 3

! Alpgen run
! Alpgen:file = main32
! Alpgen:setMLM = on
! JetMatching:scheme = 2
! JetMatching:nJetMax = 3

! Alpgen file + Madgraph matching scheme
! Alpgen:file = main32
! JetMatching:scheme = 1
! JetMatching:qCut = 20.0
! JetMatching:coneRadius = 1.0
! JetMatching:etaJetMax = 10.0

! LHEF + Alpgen matching scheme
! Beams:LHEF = w+_production_lhc_2.lhe
! Beams:frameType = 4
! JetMatching:scheme = 2
! JetMatching:slowJetPower = 1
! JetMatching:jetAlgorithm = 1
! JetMatching:eTjetMin = 20.0
! JetMatching:coneRadius = 1.0
! JetMatching:exclusive = 1

! 4) Examples of further possible MLM settings.

! Default is CellJet algorithm with merging parameters set based on
! read in matrix element cuts. Exclusive/inclusive mode is set
! based on the read in value of 'MLM:nJet', and 'MLM:nJetMax' above.

! MLM master settings
!Alpgen:file = main32
!Alpgen:setMLM       = on
!JetMatching:scheme  = 2
!JetMatching:nJetMax = 3

! Pick custom merging parameters
! Alpgen:file            = main32
! Alpgen:setMLM          = off
! JetMatching:scheme     = 2
! JetMatching:nJetMax    = 3
! JetMatching:eTjetMin   = 30.0
! JetMatching:coneRadius = 1.0
! JetMatching:etaJetMax  = 2.0
! JetMatching:exclusive  = 0

! Disable automatic setting of Alpgen masses
! Alpgen:setMasses    = off

! Anti-kT algorithm with ghost particle jet matching
! Alpgen:file            = main32
! Alpgen:setMLM          = on
! JetMatching:scheme     = 2
! JetMatching:jetAlgorithm    = 2
! JetMatching:slowJetPower    = -1
! JetMatching:jetMatch        = 2
! JetMatching:jetAllow        = 2

! Anti-kT algorithm with deltaR matching with factor 1.
! Alpgen:file            = main32
! Alpgen:setMLM          = on
! JetMatching:scheme     = 2
! JetMatching:jetAlgorithm    = 2
! JetMatching:slowJetPower    = -1
! JetMatching:coneMatchLight  = 1.0
! JetMatching:coneMatchHeavy  = 1.0

! kT algorithm with ghost particle jet matching
! Alpgen:file            = main32
! Alpgen:setMLM          = on
! JetMatching:scheme     = 2
! JetMatching:jetAlgorithm    = 2
! JetMatching:slowJetPower    = 1
! JetMatching:jetMatch        = 2

! 5) Other settings
HadronLevel:all        = off       ! switch off hadronisation for testing only
pythia8-8.1.86.orig/examples/runmains0000755000175000017500000000702712357054721015753 0ustar  sunsun# runmains is a part of the PYTHIA event generator.
# Copyright (C) 2014 Torbjorn Sjostrand.
# PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
# Please respect the MCnet Guidelines, see GUIDELINES for details. 
 
# Simple script to run all the mainXX test programs
# Several of the ones from main31 and higher need linkage to external 
# libraries, however, and therefore the execution exits before them by default.
# If you want to change that behaviour, comment out the "exit" line.
# The subdirectory outref contains output from reference run.

echo
echo Now begin main01
make main01
time ./main01.exe > out01

echo
echo Now begin main02
make main02
time ./main02.exe > out02

echo
echo Now begin main03
make main03
time ./main03.exe > out03

echo
echo Now begin main04
make main04
time ./main04.exe > out04

echo
echo Now begin main05
make main05
time ./main05.exe > out05

echo
echo Now begin main06
make main06
time ./main06.exe > out06

echo
echo Now begin main07
make main07
time ./main07.exe > out07

echo
echo Now begin main08
make main08
time ./main08.exe > out08

echo
echo Now begin main09
make main09
time ./main09.exe > out09

echo
echo Now begin main10
make main10
time ./main10.exe > out10

echo
echo Now begin main11
make main11
time ./main11.exe > out11

echo
echo Now begin main12
make main12
time ./main12.exe > out12

echo
echo Now begin main13
make main13
time ./main13.exe > out13

echo
echo Now begin main14
make main14
time ./main14.exe > out14

echo
echo Now begin main15
make main15
time ./main15.exe > out15

echo
echo Now begin main16
make main16
time ./main16.exe main16.cmnd > out16

echo
echo Now begin main17
make main17
time ./main17.exe > out17

echo
echo Now begin main18
make main18
time ./main18.exe > out18

echo
echo Now begin main19
make main19
time ./main19.exe > out19

echo
echo Now begin main20
make main20
time ./main20.exe > out20

echo
echo Now begin main21
make main21
time ./main21.exe > out21

echo
echo Now begin main22
make main22
time ./main22.exe > out22

echo
echo Now begin main23
make main23
time ./main23.exe > out23

echo
echo Now begin main24
make main24
time ./main24.exe > out24

echo
echo Now begin main25
make main25
time ./main25.exe > out25

echo
echo Now begin main26
make main26
time ./main26.exe > out26

echo
echo Now begin main27
make main27
time ./main27.exe > out27

echo
echo Now begin main28
make main28
time ./main28.exe > out28

# This code section stops the testing before the mainXX programs
# that need access to various external libraries (+ main31).  
# If you have ensured such linkage, feel free to comment out
# the exit command below, to have the program continue to the end.
echo 
echo The testing stops here!
echo Further checks require that you have external libraries linked,
echo and edit this runmains file, by removing a single exit line.
exit

echo
echo Now begin main31
make main31
time ./main31.exe > out31

echo
echo Now begin main41
make main41
time ./main41.exe > out41

echo
echo Now begin main42
make main42
time ./main42.exe main42.cmnd hepmcout42.dat > out42

echo
echo Now begin main51
make main51
time ./main51.exe > out51

echo
echo Now begin main52
make main52
time ./main52.exe > out52

echo
echo Now begin main53
make main53
time ./main53.exe > out53

echo
echo Now begin main61
make main61
time ./main61.exe main61.cmnd hepmcout61.dat > out61

echo
echo Now begin main62
make main62
time ./main62.exe main62.cmnd hepmcout62.dat > out62

echo
echo Now begin main71
make main71
time ./main71.exe > out71

echo
echo Now begin main72
make main72
time ./main72.exe > out72


pythia8-8.1.86.orig/examples/main32.unw0000644000175000017500000012247412357054677016033 0ustar  sunsun       1    2  7 0.100000E+01 0.913894E+02
      21    1    2    494.433
       2    4    0   -134.303
       1    1    0     -31.630     -7.872    -29.353      0.000
      21    4    3      10.953    -12.331    -25.249      0.000
      21    3    2     -23.009      4.580    452.654      0.000
      12    0    0       7.647     46.153    -21.012      0.000
     -11    0    0      36.039    -30.529    -16.910      0.001
       2    3  7 0.100000E+01 0.880429E+02
       2    4    0    349.728
      21    2    3    -18.858
       1    1    0       7.697    -22.874     68.583      0.000
      21    2    1     -19.464     -3.449     82.529      0.000
      21    4    3      17.535      1.904      6.417      0.000
      12    0    0      18.279     13.756    161.993      0.000
     -11    0    0     -24.046     10.663     11.348      0.001
       3    4  7 0.100000E+01 0.112976E+03
      21    2    1    842.354
      21    4    3    -21.462
       2    4    0     -18.296      5.741     51.846      0.000
      -1    0    1      13.149     21.360      5.672      0.000
      21    2    3     -31.541    -65.611    412.625      0.000
      11    0    0      55.633      2.779    184.391      0.001
     -12    0    0     -18.944     35.732    166.359      0.000
       4   22  7 0.100000E+01 0.115675E+03
       2    3    0    284.300
      21    1    2   -309.384
       1    1    0     -78.216     16.795      1.157      0.000
       1    3    0      11.917     11.566   -196.160      0.000
      -1    0    2      15.193     -2.680    -63.199      0.000
      12    0    0      44.314    -50.193    139.315      0.000
     -11    0    0       6.791     24.512     93.803      0.001
       5    3  7 0.100000E+01 0.138202E+03
       2    4    0    180.688
      21    2    3   -273.996
       1    1    0    -103.367     35.809     62.327      0.000
      21    2    1       2.852    -20.242   -150.770      0.000
      21    4    3       7.897    -13.617    -45.672      0.000
      12    0    0      47.155     27.103     49.657      0.000
     -11    0    0      45.463    -29.053     -8.850      0.001
       6    2  7 0.100000E+01 0.170654E+03
      21    1    2   1403.196
       2    4    0   -299.649
       1    1    0      94.796    108.014    -32.441      0.000
      21    3    2      14.017     -9.015   1220.543      0.000
      21    4    3      -7.226    -40.893     96.415      0.000
      12    0    0     -68.328    -47.029   -175.880      0.000
     -11    0    0     -33.259    -11.077     -5.091      0.001
       7    3  7 0.100000E+01 0.118963E+03
      -4    0    4     48.768
      21    4    3   -535.001
      -3    0    1      80.104      0.592    -42.233      0.000
      21    2    3       2.759     14.901    -85.183      0.000
      21    1    2     -15.111     28.462   -239.261      0.000
     -12    0    0     -57.661    -59.022    -57.380      0.000
      11    0    0     -10.091     15.068    -62.177      0.001
       8    7  7 0.100000E+01 0.111558E+03
      -3    0    2    148.468
      -1    0    1   -729.768
      -2    0    3      45.800     50.657   -109.484      0.000
      -3    0    1      13.798     27.431    115.995      0.000
      21    3    2      10.961     15.851      4.853      0.000
     -11    0    0     -27.165    -64.112   -479.369      0.001
      12    0    0     -43.394    -29.827   -113.296      0.000
       9    1  7 0.100000E+01 0.136122E+03
      -2    0    4    309.253
       1    1    0   -115.330
      21    3    4     -30.125     10.996     56.654      0.000
      21    2    3     -13.937    -13.690      8.864      0.000
      21    1    2     -88.011    -53.907    -32.294      0.000
     -12    0    0      43.853     60.161     89.839      0.000
      11    0    0      88.220     -3.559     70.860      0.001
      10    3  7 0.100000E+01 0.121698E+03
       1    1    0    274.145
      21    3    2    -67.647
       2    4    0     -65.298    -18.832     80.618      0.000
      21    3    4       1.462     15.557      2.128      0.000
      21    1    2      20.592    -55.287      4.145      0.000
      11    0    0       1.068     42.045    106.165      0.001
     -12    0    0      42.176     16.516     13.442      0.000
      11    3  7 0.100000E+01 0.105442E+03
       3    1    0    504.720
      21    4    3    -81.228
       4    4    0     -57.391     18.438    -55.516      0.000
      21    1    2       1.217     17.484     57.449      0.000
      21    2    3      21.323    -15.979     21.801      0.000
      11    0    0     -21.420     -6.843     47.640      0.001
     -12    0    0      56.271    -13.100    352.118      0.000
      12    7  7 0.100000E+01 0.169191E+03
       1    2    0    126.879
       3    1    0   -837.084
       4    3    0      56.542     20.886   -155.300      0.000
       1    1    0    -131.391    -30.691      3.225      0.000
      21    2    3     -16.055     -7.874     44.192      0.000
      11    0    0      57.481    -18.617   -463.237      0.001
     -12    0    0      33.424     36.295   -139.083      0.000
      13    7  7 0.100000E+01 0.117644E+03
       2    2    0    641.298
      -1    0    1    -72.056
      -4    0    3     -38.584     -1.845     19.555      0.000
       2    3    0     -35.604     59.125    495.700      0.000
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       3    1    0      42.613      3.139     43.713      0.000
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       4    4    0      25.207    -12.951    -41.040      0.000
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       2    4    0   -553.532
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      24    7  7 0.100000E+01 0.117897E+03
       3    2    0     22.454
       2    3    0  -2064.004
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       2    4    0   -144.805
       1    1    0       0.810     24.557    -16.628      0.000
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       1    1    0     -58.851    -12.410    -48.455      0.000
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       1    1    0       1.812    -44.625  -1010.571      0.000
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       1    1    0     -63.446     45.484   -122.782      0.000
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       1    1    0     -67.500     72.653   -190.889      0.000
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       2    3    0  -1585.604
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       1    1    0     -12.958     14.902    -23.245      0.000
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       4    4    0      12.729      9.694    -28.880      0.000
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       1    1    0     -19.523     10.270    -73.869      0.000
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      11    0    0      30.013     30.274   -109.253      0.001
     -12    0    0     -18.169     -8.574   -354.445      0.000
      59    3  7 0.100000E+01 0.361922E+03
       1    1    0    506.828
      21    3    2   -505.420
       2    4    0     109.276   -211.733    178.504      0.000
      21    3    4      13.163     12.928    -27.147      0.000
      21    1    2     -73.069    249.136   -359.213      0.000
      11    0    0     -70.342    -14.174    145.703      0.001
     -12    0    0      20.972    -36.157     63.562      0.000
      60    3  7 0.100000E+01 0.936609E+02
       2    4    0    169.352
      21    3    4   -158.423
       1    1    0      -9.377    -28.674     93.359      0.000
      21    2    1      15.186      3.685    -33.546      0.000
      21    3    2     -28.052     19.076    -94.430      0.000
      12    0    0      34.958     24.356     53.637      0.000
     -11    0    0     -12.716    -18.443     -8.090      0.001
      61    3  7 0.100000E+01 0.162808E+03
       1    1    0    108.837
      21    4    3   -392.157
       2    4    0     -93.946    -13.253    -29.529      0.000
      21    1    2     101.754     -6.767   -168.715      0.000
      21    2    3      24.129      7.466   -111.706      0.000
      11    0    0      -9.518     17.666    -25.816      0.001
     -12    0    0     -22.419     -5.112     52.446      0.000
      62    2  7 0.100000E+01 0.121014E+03
      21    1    2     73.625
       2    4    0   -721.732
       1    1    0     -29.598     20.061     18.788      0.000
      21    3    2      59.853      4.045    -36.289      0.000
      21    4    3     -57.363      3.077   -182.461      0.000
      12    0    0      18.921     47.989   -401.323      0.000
     -11    0    0       8.187    -75.172    -46.822      0.001
      63   13  7 0.100000E+01 0.212780E+03
       2    1    0   2270.501
       2    3    0   -812.171
       2    1    0      77.200    151.766   -445.305      0.000
       1    2    0     -48.746    -83.566     24.782      0.000
      21    3    2       2.709    -21.177   -312.127      0.000
      12    0    0     -43.704    -62.172   1482.471      0.000
     -11    0    0      12.542     15.148    708.508      0.001
      64    3  7 0.100000E+01 0.177687E+03
       2    4    0    264.400
      21    1    2   -185.974
       1    1    0     132.397    -42.419     -0.856      0.000
      21    4    3     -19.248    -14.945    103.848      0.000
      21    3    2     -71.855      4.478    -56.951      0.000
      12    0    0     -57.402     43.080     49.683      0.000
     -11    0    0      16.108      9.806    -17.299      0.001
      65    3  7 0.100000E+01 0.873711E+02
       1    1    0    183.275
      21    3    2   -159.357
       2    4    0     -20.044      9.020     -0.309      0.000
      21    1    2      -7.333     13.651    -40.115      0.000
      21    3    4      20.621     -4.248    -95.687      0.000
      11    0    0     -13.784     18.122    118.478      0.001
     -12    0    0      20.540    -36.544     41.552      0.000
      66    3  7 0.100000E+01 0.104843E+03
       1    1    0     62.803
      21    3    2   -255.674
       2    4    0      42.314    -46.714    -79.219      0.000
      21    1    2       9.919    -12.046     15.678      0.000
      21    3    4      15.553      8.168    -50.526      0.000
      11    0    0     -37.254     67.384    -32.245      0.001
     -12    0    0     -30.532    -16.791    -46.559      0.000
      67    2  7 0.100000E+01 0.108787E+03
      21    2    3     17.501
       2    4    0  -1312.649
       1    1    0     -23.813     64.186    -75.836      0.000
      21    4    3       7.827    -14.188    -36.829      0.000
      21    2    1      15.893    -12.863   -138.518      0.000
      12    0    0      31.282    -23.896   -843.697      0.000
     -11    0    0     -31.189    -13.239   -200.267      0.001
      68    3  7 0.100000E+01 0.104936E+03
       2    4    0   1558.828
      21    1    2    -11.822
       1    1    0     -40.652      4.308    312.495      0.000
      21    4    3      48.999     15.238    246.082      0.000
      21    3    2     -15.445     -1.261      3.887      0.000
      12    0    0      21.190     26.907    540.499      0.000
     -11    0    0     -14.092    -45.193    444.043      0.001
      69    3  7 0.100000E+01 0.938644E+02
      -1    0    1    302.874
      21    3    4    -23.228
      -2    0    4      11.711     28.671     47.806      0.000
      21    2    1     -15.601    -27.045     69.746      0.000
      21    3    2     -18.148     -8.945     20.032      0.000
     -11    0    0      -2.961    -24.476    109.752      0.001
      12    0    0      24.998     31.795     32.310      0.000
      70    3  7 0.100000E+01 0.913656E+02
       2    4    0    215.744
      21    1    2    -44.020
       1    1    0      20.099     17.371     25.839      0.000
      21    3    2      -7.701    -21.625    -13.078      0.000
      21    4    3      14.393    -20.991     36.812      0.000
      12    0    0     -41.461     40.451     50.553      0.000
     -11    0    0      14.670    -15.206     71.597      0.001
      71   18  7 0.100000E+01 0.103045E+03
       2    1    0    515.781
      21    3    2   -260.985
       2    1    0      -7.948     42.700     12.593      0.000
       2    3    0     -14.157    -26.609    458.454      0.000
      -3    0    2      25.659    -26.416   -176.388      0.000
     -12    0    0     -18.651    -32.451    -16.962      0.000
      11    0    0      15.097     42.776    -22.902      0.001
      72    3  7 0.100000E+01 0.170605E+03
       1    1    0   1638.618
      21    4    3    -22.237
       2    4    0      79.650    -67.423    311.501      0.000
      21    2    3      10.391     18.374     15.529      0.000
      21    1    2    -106.260      3.462    906.897      0.000
      11    0    0      29.784     59.185    229.574      0.001
     -12    0    0     -13.565    -13.598    152.881      0.000
      73    3  7 0.100000E+01 0.954169E+02
       2    4    0    839.815
      21    3    4    -41.729
       1    1    0     -16.913     35.382     50.523      0.000
      21    3    2     -16.531     -5.202     -7.029      0.000
      21    2    1      -5.148    -27.791     -9.502      0.000
      12    0    0     -15.092     21.171    155.803      0.000
     -11    0    0      53.685    -23.560    608.291      0.001
      74    2  7 0.100000E+01 0.943919E+02
      21    4    3     24.164
       1    1    0  -1350.954
       2    4    0      -3.871     31.709   -128.865      0.000
      21    2    3     -26.448    -21.254      5.617      0.000
      21    1    2      13.216      9.810   -132.321      0.000
      11    0    0      -1.750    -42.308   -897.260      0.001
     -12    0    0      18.853     22.043   -173.961      0.000
      75    3  7 0.100000E+01 0.868100E+02
       2    4    0    457.303
      21    2    3    -57.307
       1    1    0     -15.307      1.926     -0.930      0.000
      21    4    3      24.392      0.649     -8.916      0.000
      21    2    1      -2.716    -15.098    -25.640      0.000
      12    0    0      -2.823    -17.185    378.826      0.000
     -11    0    0      -3.547     29.708     56.655      0.001
      76    2  7 0.100000E+01 0.965438E+02
      21    2    3     92.438
       2    4    0  -2426.760
       1    1    0       8.471     20.777   -270.555      0.000
      21    4    3     -28.285      3.920   -181.294      0.000
      21    2    1      38.296     -8.251     85.690      0.000
      12    0    0     -13.239    -36.983  -1805.412      0.000
     -11    0    0      -5.243     20.537   -162.752      0.001
      77    2  7 0.100000E+01 0.921950E+02
      21    3    4     81.517
       2    4    0   -394.344
       1    1    0      29.376     -2.757    -11.651      0.000
      21    3    2     -23.826     14.707     21.652      0.000
      21    2    1      -1.684     19.374     35.231      0.000
      12    0    0       7.433    -19.229   -349.051      0.000
     -11    0    0     -11.299    -12.095     -9.008      0.001
      78   15  7 0.100000E+01 0.910668E+02
       2    1    0    232.623
       1    3    0   -644.423
       1    1    0     -35.477     -6.422   -614.520      0.000
       1    2    0      13.042    -11.288      0.705      0.000
      21    3    2      14.705      3.517     -9.409      0.000
     -11    0    0      -9.363    -31.030     76.884      0.001
      12    0    0      17.094     45.223    134.540      0.000
      79    2  7 0.100000E+01 0.126244E+03
      21    1    2    269.188
      -3    0    1   -360.973
      -4    0    4      82.930    -24.820     30.417      0.000
      21    3    2      21.301     16.878    175.199      0.000
      21    4    3     -34.376     -7.526      8.392      0.000
     -11    0    0     -21.157     15.960   -247.776      0.001
      12    0    0     -48.698     -0.492    -58.017      0.000
      80    2  7 0.100000E+01 0.122003E+03
      21    4    3    167.373
       3    1    0    -90.909
       4    4    0     -33.034    -37.941     40.460      0.000
      21    2    3      51.748     53.836     19.028      0.000
      21    1    2       8.717    -15.316    -12.665      0.000
      11    0    0     -17.279    -29.097     48.616      0.001
     -12    0    0     -10.151     28.518    -18.975      0.000
      81    6  7 0.100000E+01 0.114382E+03
       1    1    0    601.315
      -3    0    2   -541.018
       2    3    0     -54.579     31.554    113.762      0.000
      -3    0    3      31.059    -16.757   -416.186      0.000
      21    1    2       6.655     36.766   -107.938      0.000
      11    0    0      14.457      8.738    277.226      0.001
     -12    0    0       2.409    -60.301    193.432      0.000
      82    4  7 0.100000E+01 0.941121E+02
      21    4    3    169.148
      21    2    1    -83.217
       4    4    0     -16.358      3.107     14.029      0.000
      -3    0    1      31.389    -25.421     15.875      0.000
      21    2    3      16.076     14.923     91.917      0.000
      11    0    0      13.166    -13.946    -38.989      0.001
     -12    0    0     -44.273     21.338      3.100      0.000
      83   14  7 0.100000E+01 0.154573E+03
       1    3    0    153.496
       2    2    0   -699.341
       1    1    0     -42.892    -52.024    118.389      0.000
       1    3    0      86.989      8.022   -171.416      0.000
      21    2    1      17.372     70.329   -182.957      0.000
     -11    0    0      15.416    -23.241   -103.258      0.001
      12    0    0     -76.885     -3.086   -206.603      0.000
      84    6  7 0.100000E+01 0.108344E+03
      -4    0    3    152.882
      -1    0    2   -360.630
      -3    0    1     -16.288     41.716     16.044      0.000
      -1    0    3      -9.677     15.692   -232.645      0.000
      21    1    2     -48.676     23.586    -59.057      0.000
     -12    0    0      79.135    -29.297     37.526      0.000
      11    0    0      -4.493    -51.698     30.383      0.001
      85    3  7 0.100000E+01 0.145997E+03
       3    1    0    177.228
      21    4    3  -1248.476
       4    4    0     -67.825    -41.504    -24.385      0.000
      21    1    2      64.618    -60.578    103.092      0.000
      21    2    3      14.647     21.575  -1055.988      0.000
      11    0    0      -3.939     95.791    -62.253      0.001
     -12    0    0      -7.501    -15.284    -31.716      0.000
      86    4  7 0.100000E+01 0.888261E+02
      21    4    3    237.301
      21    2    1    -53.091
       2    4    0      20.808      7.957     29.556      0.000
      -1    0    1     -22.917     11.274    -31.383      0.000
      21    2    3     -16.016      4.217     17.662      0.000
      11    0    0      24.934    -39.598     47.901      0.001
     -12    0    0      -6.809     16.150    120.473      0.000
      87    6  7 0.100000E+01 0.104023E+03
       1    1    0   1613.255
       2    2    0   -929.523
       4    3    0     -19.352    -18.030    204.373      0.000
       2    1    0     -53.846    -15.548   -888.801      0.000
      21    2    3     -21.801     -6.129    -32.365      0.000
      11    0    0      83.863     35.489   1379.230      0.001
     -12    0    0      11.136      4.218     21.295      0.000
      88    7  7 0.100000E+01 0.112080E+03
      -4    0    2     42.646
       2    3    0   -347.655
       1    1    0     -12.371    -26.272    -87.013      0.000
      -4    0    1     -39.460     56.000    -26.134      0.000
      21    3    2      21.759      9.216    -33.969      0.000
      12    0    0      20.849    -52.490   -157.670      0.000
     -11    0    0       9.222     13.545     -0.223      0.001
      89    2  7 0.100000E+01 0.104816E+03
      21    1    2     24.262
       2    4    0   -960.583
       1    1    0     -16.105    -50.790   -131.872      0.000
      21    3    2      10.600     25.599     -4.807      0.000
      21    4    3       1.180     30.186   -576.559      0.000
      12    0    0      -6.447     36.761   -103.628      0.000
     -11    0    0      10.772    -41.757   -119.455      0.001
      90    4  7 0.100000E+01 0.101129E+03
      21    3    4    188.115
      21    1    2   -154.297
       3    1    0      27.291    -19.947     -8.507      0.000
      -4    0    4      -3.520    -46.074     87.027      0.000
      21    3    2     -18.689    -11.516    -86.993      0.000
      12    0    0      31.436     29.645     40.231      0.000
     -11    0    0     -36.519     47.892      2.061      0.001
      91    2  7 0.100000E+01 0.148014E+03
      21    2    3    459.010
       2    4    0   -349.121
       1    1    0     -90.119     -8.143     47.456      0.000
      21    2    1      78.772     26.601    351.394      0.000
      21    4    3       6.792    -17.160     12.940      0.000
      12    0    0      -6.141    -56.402   -155.607      0.000
     -11    0    0      10.696     55.103   -146.294      0.001
      92    3  7 0.100000E+01 0.106489E+03
      -1    0    1    135.317
      21    3    4   -168.934
      -2    0    4     -28.810    -45.665     -0.668      0.000
      21    3    2      36.106     19.336    -51.762      0.000
      21    2    1       8.092     14.646    -64.487      0.000
     -11    0    0     -42.027     22.224     73.132      0.001
      12    0    0      26.639    -10.542     10.167      0.000
      93    4  7 0.100000E+01 0.117977E+03
      21    1    2    184.184
      21    3    4   -104.699
       3    1    0     -23.566      3.976     30.378      0.000
      -4    0    4     -78.269     22.002    -11.281      0.000
      21    3    2     -12.072    -11.151      6.914      0.000
      12    0    0      -6.084      3.847     24.419      0.000
     -11    0    0     119.991    -18.674     29.054      0.001
      94   14  7 0.100000E+01 0.873307E+02
       2    1    0    425.884
       1    2    0    -93.622
       2    3    0      18.387      9.329    381.776      0.000
       2    1    0     -15.621     -1.389     -2.551      0.000
      21    2    3      15.485    -15.767    -28.390      0.000
     -12    0    0     -29.377     -2.596     25.303      0.000
      11    0    0      11.126     10.422    -43.876      0.001
      95    2  7 0.100000E+01 0.107594E+03
      21    3    2     53.913
       1    1    0  -1811.007
       2    4    0     -27.322    -16.459   -151.148      0.000
      21    3    4      49.636    -22.398     35.230      0.000
      21    1    2     -17.503     28.640   -537.929      0.000
      11    0    0      22.131    -21.086   -797.593      0.001
     -12    0    0     -26.943     31.303   -305.654      0.000
      96    2  7 0.100000E+01 0.961263E+02
      21    3    4    219.883
      -3    0    1   -144.401
      -4    0    4      19.957     30.480    -19.531      0.000
      21    2    1      -9.658    -23.210     50.592      0.000
      21    3    2     -17.011    -22.899    137.766      0.000
     -11    0    0       7.402     47.844    -73.203      0.001
      12    0    0      -0.689    -32.215    -20.142      0.000
      97   13  7 0.100000E+01 0.116027E+03
       1    1    0    386.205
       1    3    0    -56.748
       1    2    0      27.887     -6.410    -16.802      0.000
       2    3    0     -30.170    -12.644     39.674      0.000
      21    1    2     -55.132     45.459    196.693      0.000
      11    0    0      12.031     27.619     30.614      0.001
     -12    0    0      45.385    -54.025     79.277      0.000
      98    3  7 0.100000E+01 0.106926E+03
       2    4    0    750.171
      21    1    2    -15.110
       1    1    0     -50.271     31.465    187.219      0.000
      21    3    2     -22.571     -9.275     79.372      0.000
      21    4    3      28.304      7.214    135.628      0.000
      12    0    0      31.986     11.816    261.924      0.000
     -11    0    0      12.552    -41.221     70.919      0.001
      99    3  7 0.100000E+01 0.898455E+02
       2    4    0     47.398
      21    1    2   -378.559
       1    1    0      22.192    -20.849     -4.260      0.000
      21    3    2      11.280    -14.190   -249.586      0.000
      21    4    3       1.163    -18.651     -3.637      0.000
      12    0    0     -34.718    -11.438    -20.947      0.000
     -11    0    0       0.083     65.129    -52.731      0.001
     100   14  7 0.100000E+01 0.145454E+03
       2    1    0    317.837
       1    2    0   -472.856
       2    3    0     -28.677    -35.576    241.321      0.000
       2    1    0       1.790    102.682    -48.392      0.000
      21    2    3     -43.259    -13.550     16.049      0.000
     -12    0    0      39.776    -16.103    -50.445      0.000
      11    0    0      30.371    -37.452   -313.552      0.001
pythia8-8.1.86.orig/examples/main08.cc0000644000175000017500000001554712357054675015612 0ustar  sunsun// main08.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This is a simple test program.
// It illustrates methods to emphasize generation at high pT.

#include "Pythia8/Pythia.h"

using namespace Pythia8;

int main() {

  // Different modes are illustrated for setting the pT ranges.
  // 1 : Hardcoded in the main program.
  // 2 : Using the Main:subrun keyword in a separate command file.
  // A third method instead biases selection continuously.
  // 3 : Bias high-pT selection by a pT^4 factor.
  // Matching also to low-pT processes is more complicated.
  // 4 : Matching between low- and high-pT. (No diffraction.)
  // 5: As 4, but bias high-pT selection by a pT^4 factor.
  int mode = 5;

  // Number of events to generate per bin.
  int nEvent = 100000;

  // One does not need complete events to study pThard spectrum only.
  bool completeEvents = false;

  // Optionally minimize output (almost) to final results.
  bool smallOutput = true;

  // Book histograms.
  int nRange = 100;
  double pTrange = (mode < 4) ? 1000. : 100.;
  Hist pTraw("pTHat distribution, unweighted", nRange, 0., pTrange);
  Hist pTnorm("pTHat distribution, weighted", nRange, 0., pTrange);
  Hist pTpow3("pTHat distribution, pT3*weighted", nRange, 0., pTrange);
  Hist pTpow5("pTHat distribution, pT5*weighted", nRange, 0., pTrange);
  Hist pTnormPart("pTHat distribution, weighted", nRange, 0., pTrange);
  Hist pTpow3Part("pTHat distribution, pT3*weighted", nRange, 0., pTrange);
  Hist pTpow5Part("pTHat distribution, pT5*weighted", nRange, 0., pTrange);

  // Generator.
  Pythia pythia;

  // Shorthand for some public members of pythia (also static ones).
  Settings& settings = pythia.settings;
  Info& info = pythia.info;

  // Optionally limit output to minimal one.
  if (smallOutput) {
    pythia.readString("Init:showProcesses = off");
    pythia.readString("Init:showMultipartonInteractions = off");
    pythia.readString("Init:showChangedSettings = off");
    pythia.readString("Init:showChangedParticleData = off");
    pythia.readString("Next:numberCount = 1000000000");
    pythia.readString("Next:numberShowInfo = 0");
    pythia.readString("Next:numberShowProcess = 0");
    pythia.readString("Next:numberShowEvent = 0");
  }

  // Number of bins to use. In mode 2 read from main08.cmnd file.
  int nBin = 5;
  if (mode == 2) {
    pythia.readFile("main08.cmnd");
    nBin = pythia.mode("Main:numberOfSubruns");
  }
  else if (mode == 3) nBin = 1;
  else if (mode == 4) nBin = 4;
  else if (mode == 5) nBin = 2;

  // Mode 1: set up five pT bins - last one open-ended.
  double pTlimit[6] = {100., 150., 250., 400., 600., 0.};

  // Modes 4 & 5: set up pT bins for range [0, 100]. The lowest bin
  // is generated with soft processes, to regularize pT -> 0 blowup.
  // Warning: if pTlimitLow[1] is picked too low there will be a
  // visible discontinuity, since soft processes are generated with
  // dampening and "Sudakov" for pT -> 0, while hard processes are not.
  double pTlimitLow[6] = {0., 20., 40., 70., 100.};
  double pTlimitTwo[3] = {0., 20., 100.};

  // Loop over number of bins, i.e. number of subruns.
  for (int iBin = 0; iBin < nBin; ++iBin) {

    // Normally HardQCD, but in two cases nonDiffractive.
    // Need MPI on in nonDiffractive to get first interaction, but not else.
    if (mode > 3 && iBin == 0) {
      pythia.readString("HardQCD:all = off");
      pythia.readString("SoftQCD:nonDiffractive = on");
      if (!completeEvents) {
      pythia.readString("PartonLevel:all = on");
        pythia.readString("PartonLevel:ISR = off");
        pythia.readString("PartonLevel:FSR = off");
        pythia.readString("HadronLevel:all = off");
      }
    } else {
      pythia.readString("HardQCD:all = on");
      pythia.readString("SoftQCD:nonDiffractive = off");
      if (!completeEvents) pythia.readString("PartonLevel:all = off");
    }

    // Mode 1: hardcoded here. Use settings.parm for non-string input.
    if (mode == 1) {
      settings.parm("PhaseSpace:pTHatMin", pTlimit[iBin]);
      settings.parm("PhaseSpace:pTHatMax", pTlimit[iBin + 1]);
    }

    // Mode 2: subruns stored in the main08.cmnd file.
    else if (mode == 2) pythia.readFile("main08.cmnd", iBin);

    // Mode 3: The whole range in one step, but pT-weighted.
    else if (mode == 3) {
      settings.parm("PhaseSpace:pTHatMin", pTlimit[0]);
      settings.parm("PhaseSpace:pTHatMax", 0.);
      pythia.readString("PhaseSpace:bias2Selection = on");
      pythia.readString("PhaseSpace:bias2SelectionPow = 4.");
      pythia.readString("PhaseSpace:bias2SelectionRef = 100.");
    }

    // Mode 4: hardcoded here. Use settings.parm for non-string input.
    else if (mode == 4) {
      settings.parm("PhaseSpace:pTHatMin", pTlimitLow[iBin]);
      settings.parm("PhaseSpace:pTHatMax", pTlimitLow[iBin + 1]);
    }

    // Mode 5: hardcoded here. Use settings.parm for non-string input.
    // Hard processes in one step, but pT-weighted.
    else if (mode == 5) {
      settings.parm("PhaseSpace:pTHatMin", pTlimitTwo[iBin]);
      settings.parm("PhaseSpace:pTHatMax", pTlimitTwo[iBin + 1]);
      if (iBin == 1) {
        pythia.readString("PhaseSpace:bias2Selection = on");
        pythia.readString("PhaseSpace:bias2SelectionPow = 4.");
        pythia.readString("PhaseSpace:bias2SelectionRef = 20.");
      }
    }

    // Initialize for LHC at 14 TeV.
    pythia.readString("Beams:eCM = 14000.");
    pythia.init();

    // Reset local histograms (that need to be rescaled before added).
    pTnormPart.null();
    pTpow3Part.null();
    pTpow5Part.null();

    // Begin event loop.
    for (int iEvent = 0; iEvent < nEvent; ++iEvent) {

      // Generate events. Skip if failure.
      if (!pythia.next()) continue;

      // Soft events have no upper pT limit. They therefore overlap
      // with hard events, and the overlap must be removed by hand.
      // No overlap for elastic/diffraction, which is only part of soft.
      double pTHat  = info.pTHat();
      if (mode > 3 && iBin == 0 && info.isNonDiffractive()
        && pTHat > pTlimitLow[1]) continue;

      // Fill hard scale of event.
      double weight = info.weight();
      pTraw.fill( pTHat );
      pTnormPart.fill( pTHat, weight);
      pTpow3Part.fill( pTHat, weight * pow3(pTHat) );
      pTpow5Part.fill( pTHat, weight * pow5(pTHat) );

    // End of event loop. Statistics.
    }
    if (!smallOutput) pythia.stat();

    // Normalize to cross section for each case, and add to sum.
    double sigmaNorm = (info.sigmaGen() / info.weightSum())
                     * (nRange / pTrange);
    pTnorm += sigmaNorm * pTnormPart;
    pTpow3 += sigmaNorm * pTpow3Part;
    pTpow5 += sigmaNorm * pTpow5Part;

  // End of pT-bin loop.
  }

  // Output histograms.
  cout << pTraw << pTnorm << pTpow3 << pTpow5;

  // Done.
  return 0;
}
pythia8-8.1.86.orig/examples/main23.cc0000644000175000017500000002624412357054677015605 0ustar  sunsun// main23.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Example how to write a derived class for beam momentum and vertex spread,
// with an instance handed to Pythia for internal generation.
// Also how to write a derived class for external random numbers,
// and how to write a derived class for external parton distributions.
// Warning: the parameters are not realistic.

#include "Pythia8/Pythia.h"

using namespace Pythia8;
 
//==========================================================================

// A derived class to set beam momentum and interaction vertex spread.

class MyBeamShape : public BeamShape {

public:

  // Constructor.
  MyBeamShape() {}

  // Initialize beam parameters.
  // In this particular example we will reuse the existing settings names
  // but with modified meaning, so init() in the base class can be kept.
  //virtual void init( Settings& settings, Rndm* rndmPtrIn);

  // Set the two beam momentum deviations and the beam vertex.
  virtual void pick();

};

//--------------------------------------------------------------------------

// Set the two beam momentum deviations and the beam vertex.
// Note that momenta are in units of GeV and vertices in mm,
// always with c = 1, so that e.g. time is in mm/c.

void MyBeamShape::pick() {

  // Reset all values.
  deltaPxA = deltaPyA = deltaPzA = deltaPxB = deltaPyB = deltaPzB
    = vertexX = vertexY = vertexZ = vertexT = 0.;

  // Set beam A transverse momentum deviation by a two-dimensional Gaussian.
  if (allowMomentumSpread) {
    double totalDev, gauss;
    do {
      totalDev = 0.;
      if (sigmaPxA > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPxA  = sigmaPxA * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaPyA > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPyA  = sigmaPyA * gauss;
        totalDev += gauss * gauss;
      }
    } while (totalDev > maxDevA * maxDevA);

    // Set beam A longitudinal momentum as a triangular shape.
    // Reuse sigmaPzA to represent maximum deviation in this case.
    if (sigmaPzA > 0.) {
      deltaPzA    = sigmaPzA * ( 1. - sqrt(rndmPtr->flat()) );
      if (rndmPtr->flat() < 0.5) deltaPzA = -deltaPzA;
    }

    // Set beam B transverse momentum deviation by a two-dimensional Gaussian.
    do {
      totalDev = 0.;
      if (sigmaPxB > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPxB  = sigmaPxB * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaPyB > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPyB  = sigmaPyB * gauss;
        totalDev += gauss * gauss;
      }
    } while (totalDev > maxDevB * maxDevB);

    // Set beam B longitudinal momentum as a triangular shape.
    // Reuse sigmaPzB to represent maximum deviation in this case.
    if (sigmaPzB > 0.) {
      deltaPzB = sigmaPzB * ( 1. - sqrt(rndmPtr->flat()) );
      if (rndmPtr->flat() < 0.5) deltaPzB = -deltaPzB;
    }
  }

  // Set beam vertex location by a two-dimensional Gaussian.
  if (allowVertexSpread) {
    double totalDev, gauss;
    do {
      totalDev = 0.;
      if (sigmaVertexX > 0.) {
        gauss     = rndmPtr->gauss();
        vertexX   = sigmaVertexX * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaVertexY > 0.) {
        gauss     = rndmPtr->gauss();
        vertexY   = sigmaVertexY * gauss;
        totalDev += gauss * gauss;
      }
    } while (totalDev > maxDevVertex * maxDevVertex);

    // Set beam B longitudinal momentum as a triangular shape.
    // This corresponds to two step-function beams colliding.
    // Reuse sigmaVertexZ to represent maximum deviation in this case.
    if (sigmaVertexZ > 0.) {
      vertexZ     = sigmaVertexZ * ( 1. - sqrt(rndmPtr->flat()) );
      if (rndmPtr->flat() < 0.5) vertexZ = -vertexZ;

      // Set beam collision time flat between +-(sigmaVertexZ - |vertexZ|).
      // This corresponds to two step-function beams colliding (with v = c).
      vertexT = (2. * rndmPtr->flat() - 1.) * (sigmaVertexZ - abs(vertexZ));
    }

    // Add offset to beam vertex.
    vertexX      += offsetX;
    vertexY      += offsetY;
    vertexZ      += offsetZ;
    vertexT      += offsetT;
  }

}

//==========================================================================

// A derived class to generate random numbers.
// A guranteed VERY STUPID generator, just to show principles.

class stupidRndm : public RndmEngine {

public:

  // Constructor.
  stupidRndm() { init();}

  // Routine for generating a random number.
  double flat();

private:

  // Initialization.
  void init();

  // State of the generator.
  double value, exp10;

};

//--------------------------------------------------------------------------

// Initialization method for the random numbers.

void stupidRndm::init() {
    
  // Initial values.
  value = 0.5;
  exp10 = exp(10.);

}

//--------------------------------------------------------------------------

// Generation method for the random numbers.

double stupidRndm::flat() {

  // Update counter. Add to current value.
  do {
    value *= exp10;
    value += M_PI;
    value -= double(int(value));
    if (value < 0.) value += 1.;
  } while (value <= 0. || value >= 1.);

  // Return new value.
  return value;

}
 
//==========================================================================

// A simple scaling PDF. Not realistic; only to check that it works.

class Scaling : public PDF {

public:

  // Constructor.
  Scaling(int idBeamIn = 2212) : PDF(idBeamIn) {}

private:

  // Update PDF values.
  void xfUpdate(int id, double x, double Q2);

};

//--------------------------------------------------------------------------

// No dependence on Q2, so leave out name for last argument.

void Scaling::xfUpdate(int, double x, double ) {

  // Valence quarks, carrying 60% of the momentum.
  double dv  = 4. * x * pow3(1. - x);
  double uv  = 2. * dv;

  // Gluons and sea quarks carrying the rest.
  double gl  = 2.  * pow5(1. - x);
  double sea = 0.4 * pow5(1. - x);
 
  // Update values
  xg    = gl;
  xu    = uv + 0.18 * sea;
  xd    = dv + 0.18 * sea;
  xubar = 0.18 * sea;
  xdbar = 0.18 * sea;
  xs    = 0.08 * sea;
  xc    = 0.04 * sea;
  xb    = 0.02 * sea;

  // Subdivision of valence and sea.
  xuVal = uv;
  xuSea = xubar;
  xdVal = dv;
  xdSea = xdbar;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

int main() {

  // Number of events to generate. Max number of errors.
  int nEvent = 10000;
  int nAbort = 5;

  // Pythia generator.
  Pythia pythia;

  // Process selection.
  pythia.readString("HardQCD:all = on");
  pythia.readString("PhaseSpace:pTHatMin = 20.");

  // LHC with acollinear beams in the x plane.
  // Use that default is pp with pz = +-7000 GeV, so this need not be set.
  pythia.readString("Beams:frameType = 3");
  pythia.readString("Beams:pxA = 1.");
  pythia.readString("Beams:pxB = 1.");

  // A class to generate beam parameters according to own parametrization.
  BeamShape* myBeamShape = new MyBeamShape();

  // Hand pointer to Pythia.
  // If you comment this out you get internal Gaussian-style implementation.
  pythia.setBeamShapePtr( myBeamShape);

  // Set up beam spread parameters - reused by MyBeamShape.
  pythia.readString("Beams:allowMomentumSpread = on");
  pythia.readString("Beams:sigmapxA = 0.1");
  pythia.readString("Beams:sigmapyA = 0.1");
  pythia.readString("Beams:sigmapzA = 5.");
  pythia.readString("Beams:sigmapxB = 0.1");
  pythia.readString("Beams:sigmapyB = 0.1");
  pythia.readString("Beams:sigmapzB = 5.");

  // Set up beam vertex parameters - reused by MyBeamShape.
  pythia.readString("Beams:allowVertexSpread = on");
  pythia.readString("Beams:sigmaVertexX = 0.3");
  pythia.readString("Beams:sigmaVertexY = 0.3");
  pythia.readString("Beams:sigmaVertexZ = 50.");
  // In MyBeamShape the time width is not an independent parameter.
  //pythia.readString("Beams:sigmaTime = 50.");

  // Optionally simplify generation.
  pythia.readString("PartonLevel:all = off");

  // A class to do random numbers externally. Hand pointer to Pythia.
  RndmEngine* badRndm = new stupidRndm();
  pythia.setRndmEnginePtr( badRndm);

  // Two classes to do the two PDFs externally. Hand pointers to Pythia.
  PDF* pdfAPtr = new Scaling(2212);
  PDF* pdfBPtr = new Scaling(2212);
  pythia.setPDFPtr( pdfAPtr, pdfBPtr);

  // Initialization.
  pythia.init();

  // Read out nominal energy.
  double eCMnom = pythia.info.eCM();

  // Histograms.
  Hist eCM("center-of-mass energy deviation", 100, -20., 20.);
  Hist pXsum("net pX offset", 100, -1.0, 1.0);
  Hist pYsum("net pY offset", 100, -1.0, 1.0);
  Hist pZsum("net pZ offset", 100, -10., 10.);
  Hist pZind("individual abs(pZ) offset", 100, -10., 10.);
  Hist vtxX("vertex x position", 100, -1.0, 1.0);
  Hist vtxY("vertex y position", 100, -1.0, 1.0);
  Hist vtxZ("vertex z position", 100, -100., 100.);
  Hist vtxT("vertex time", 100, -100., 100.);
  Hist vtxZT("vertex |x| + |t|", 100, 0., 100.);

  // Begin event loop. Generate event.
  int iAbort = 0;
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) {
    if (!pythia.next()) {

      // List faulty events and quit if many failures.
      pythia.info.list();
      pythia.process.list();
      //pythia.event.list();
      if (++iAbort < nAbort) continue;
      cout << " Event generation aborted prematurely, owing to error!\n";
      break;
    }

    // Fill histograms.
    double eCMnow = pythia.info.eCM();
    eCM.fill( eCMnow - eCMnom);
    pXsum.fill(  pythia.process[0].px() - 2. );
    pYsum.fill(  pythia.process[0].py() );
    pZsum.fill(  pythia.process[0].pz() );
    pZind.fill(  pythia.process[1].pz() - 7000. );
    pZind.fill( -pythia.process[2].pz() - 7000. );
    vtxX.fill(  pythia.process[0].xProd() );
    vtxY.fill(  pythia.process[0].yProd() );
    vtxZ.fill(  pythia.process[0].zProd() );
    vtxT.fill(  pythia.process[0].tProd() );
    double absSum = abs(pythia.process[0].zProd())
                  + abs(pythia.process[0].tProd());
    vtxZT.fill( absSum );

  // End of event loop. Statistics. Histograms.
  }
  pythia.stat();
  cout << eCM << pXsum << pYsum << pZsum << pZind
       << vtxX << vtxY << vtxZ << vtxT << vtxZT;

  // Study standard Pythia random number generator.
  Hist rndmDist("standard random number distribution", 100, 0., 1.);
  Hist rndmCorr("standard random number correlation", 100, 0., 1.);
  double rndmNow;
  double rndmOld = pythia.rndm.flat();
  for (int i = 0; i < 100000; ++i) {
    rndmNow = pythia.rndm.flat();
    rndmDist.fill(rndmNow);
    rndmCorr.fill( abs(rndmNow - rndmOld) );
    rndmOld = rndmNow;
  }
  cout << rndmDist << rndmCorr;

  // Study bad "new" random number generator.
  Hist rndmDist2("stupid random number distribution", 100, 0., 1.);
  Hist rndmCorr2("stupid random number correlation", 100, 0., 1.);
  rndmOld = pythia.rndm.flat();
  for (int i = 0; i < 100000; ++i) {
    rndmNow = pythia.rndm.flat();
    rndmDist2.fill(rndmNow);
    rndmCorr2.fill( abs(rndmNow - rndmOld) );
    rndmOld = rndmNow;
  }
  cout << rndmDist2 << rndmCorr2;

  // Done.
  delete myBeamShape;
  delete badRndm;
  delete pdfAPtr;
  delete pdfBPtr;
  return 0;
}
pythia8-8.1.86.orig/README.HepMC0000644000175000017500000000311712357054757014173 0ustar  sunsunHow to install HepMC on your laptop (Linux/Mac OSX) and link to Pythia

As of Pythia 8.175 support for older HepMC versions have been dropped,
so you have to use HepMC version 2.06 (or later), Here is an example 
for HepMC 2.06.08 that works for me, but it comes with no guarantee.

1) Create a directory where you want to do the installation, e.g.
     mkdir hepmc
and move to it
     cd hepmc

2) Open
     http://lcgapp.cern.ch/project/simu/HepMC/download 
in a browser, scroll down to "HepMC 2.06.08" and  pick the version relevant 
for your platform from the list to the right. 

3) In the pop-up menu pick "Save to file" and then the above hepmc directory.
You should now have the appropriate version in that directory,
e.g. HepMC-2.06.08-x86_64-mac106-gcc42-opt.tar.gz on a current Mac.

4) Unpack with
    tar -xzf file.tar.gz
with "file" the name of the downloaded file. This will create a new directory, 
e.g. x86_64-mac106-gcc42-opt/, where ready-to-use libraries can be found.

5) Now move to your pythia8175 (or later) directory and configure with
     ./configure --with-hepmc=mypath/hepmc/newdir --with-hepmcversion=2.06.08
   where "mypath" is the absolute path to the hepmc directory (use pwd if 
   in doubt) and "newdir" is the name of the new directory created in step 4.
   (Re)compile with "make" (or "gmake") as usual.

6) Move to the examples subdirectory and do
     source config.sh
     source config.csh
Only one of them will work, depending on which shell you use, but the other
should be harmless.

7) You should now be able to make and run e.g. main41 to produce HepMC 
output files.
pythia8-8.1.86.orig/worksheet.pdf0000644000175000017500000264350312357055014015064 0ustar  sunsun%PDF-1.4
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trailer
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%%EOF
pythia8-8.1.86.orig/pythia8-config.in0000644000175000017500000000570112357054757015542 0ustar  sunsun#! /usr/bin/env bash

## Pythia path variables based on args given to configure
prefix=@prefix@
datadir=@datadir@
includedir=$prefix/include
libdir=$prefix/lib
## External path variables, also calculated by configure
hepmcpath=@HEPMCPATH@
enablegzip=@ENABLEGZIP@
zlibpath=@ZLIBPATH@
boostincpath=@BOOSTINCPATH@
boostlibpath=@BOOSTLIBPATH@

tmp=$(echo $* | egrep -- '--\|-\')
if test $# -eq 0 || test -n "$tmp"; then
    echo "pythia8-config: configuration tool for the Pythia8 event generator library"
    echo
    echo "Usage: $( basename $0 ) [--help|-h] | "
    echo "           [--{prefix,datadir,libdir,includedir}] | "
    echo "           [--{cxxflags,ldflags,libs}]"
    echo "Options:"
    echo "  --help | -h   : show this help message"
    echo
    echo "  --prefix      : show the installation prefix (cf. autoconf)"
    echo "  --includedir  : show the path to the directory containing the Pythia8 headers"
    echo "  --libdir      : show the path to the directory containing the Pythia8 libraries"
    echo "  --datadir     : show the path to the directory containing Pythia8 data"
    echo "  --xmldoc      : show the path to the xmldoc config directory"
    echo
    echo "  --cppflags    : returns a -I flags string for insertion into CPPFLAGS"
    echo "  --cxxflags    : returns a -I flags string for insertion into CPPFLAGS"
    echo "  --ldflags     : returns a -L/-l flags string for insertion into LDFLAGS or LIBS"
    echo "  --libs        : returns a -L/-l flags string for insertion into LDFLAGS or LIBS"
    echo "  --hepmc       : include HepMC -I/-L/-l flags in above output"
    echo "  --lhapdf      : LHAPDF will be used: do not include the lhapdfdummy library"
    exit 0
fi

OUT=""


## Paths

tmp=$( echo "$*" | egrep -- '--\')
test -n "$tmp" && OUT="$OUT $prefix"

tmp=$( echo "$*" | egrep -- '--\')
test -n "$tmp" && OUT="$OUT $includedir"

tmp=$( echo "$*" | egrep -- '--\')
test -n "$tmp" && OUT="$OUT $libdir"

tmp=$( echo "$*" | egrep -- '--\')
test -n "$tmp" && OUT="$OUT $datadir"

tmp=$( echo "$*" | egrep -- '--\')
test -n "$tmp" && OUT="$OUT $datadir/xmldoc"


## "Pre-rolled" build flag strings

tmp=$( echo "$*" | egrep -- '--\')
if test -n "$tmp"; then
    test -n "$includedir" && OUT="$OUT -I${includedir}"
    tmp=$( echo "$*" | egrep -- '--\')
    test -n "$tmp" && test -n "$hepmcpath" && OUT="$OUT -I${hepmcpath}/include"
    test "$enablegzip" = "yes" && OUT="$OUT -I${boostincpath}"
fi

tmp=$( echo "$*" | egrep -- '--\')
if test -n "$tmp"; then
    test -n "$libdir" && OUT="$OUT -L${libdir} -lpythia8"
    tmp=$( echo "$*" | egrep -- '--\')
    test -n "$tmp" && test -n "$hepmcpath" && OUT="$OUT -lhepmcinterface -L${hepmcpath}/lib -lHepMC"
    tmp=$( echo "$*" | egrep -- '--\')
    test -n "$tmp" || OUT="$OUT -llhapdfdummy"
    test "$enablegzip" = "yes" && OUT="$OUT -L${boostlibpath} -lboost_iostreams -L${zlibpath}/lib -lz"
fi

echo $OUT
pythia8-8.1.86.orig/configure0000755000175000017500000003462612357054674014276 0ustar  sunsun#!/bin/sh
#
# Configuration script, to be run before compilation
#
# Author: M. Kirsanov

#
# User-changeable part -------------------------------
#

RELSRCDIR=`dirname $0`
ABSSRCDIR=`cd $RELSRCDIR && pwd`

#LCG platform. Can be needed if external libraries are specified
if [ x$MYLCGPLATFORM = x ]; then
  export MYLCGPLATFORM=x86_64-slc5-gcc43-opt
fi

# Defaults
export COMPMODE=OPT
export SHAREDLIBS=no
export ENABLEGZIP=no
export INSTALLDIR=$ABSSRCDIR
export DATADIR=

for arg in $* ; do
  if [ "x$arg" = "x--enable-debug" ] ; then
    COMPMODE=DBG
  elif [ "x$arg" = "x--enable-shared" ] ; then
    SHAREDLIBS=yes
  elif [ "x$arg" = "x--enable-64bits" ] ; then
    ENABLE64=-m64
  elif [ "x$arg" = "x--enable-gzip" ] ; then
    ENABLEGZIP=yes
  elif [ "x$arg" = "x--help" ] ; then
    echo "Usage: ./configure [options] , where options are:"
    echo "--help                : prints this help"
    echo "--enable-debug        : turns on debugging flags and turns off optimization"
    echo "--enable-shared       : turns on shared library creation (default no)"
    echo "--enable-64bits       : turns on 64 bits compilation flags"
    echo "--lcgplatform=name    : LCG platform name, default is x86_64-slc5-gcc43-opt"
    echo "--installdir=name     : install directory, default is . "
    echo "--prefix=name         : install directory (equivalent to --installdir)"
    echo "--datadir=name        : data directory (for xmldoc), default is install directory"
    echo "--with-hepmc=path     : path to HepMC library to build interface (default is not build)"
    echo "--with-hepmcversion=v : HepMC version (simplified alternative when using CERN AFS LCG external, e.g. =2.06.08)"
    echo "--enable-gzip         : turns on support for reading in gzipped files (default no)"
    echo "                        (experimental feature, see README for more details)"
    echo "--with-boost=path     : path to boost installation (default /usr) (required for gzip support)"
    echo "--with-zlib=path      : path to zlib (default /usr/lib) (required for gzip support)"
    echo
    echo "Use the following environment variables to force the configuration process or add flags:"
    echo "USRCXXFLAGS - to add flags. Use this variable to add -fPIC to the compilation flags for the static libraries"
    echo "USRLDFLAGSSHARED - to add flags to the shared library build command"
    echo "USRSHAREDSUFFIX - to force shared libraries suffix to be like this (default on MacOSX is dylib)"
    echo
    exit
  elif [ x`echo x${arg} | grep "="` != x ] ; then
    option=`echo ${arg} | awk -F = '{print $1}'`
    value=`echo ${arg} | awk -F = '{print $2}'`
    if [ "x${option}" = "x--lcgplatform" ] ; then
      MYLCGPLATFORM=${value}
    elif [ "x${option}" = "x--installdir" ] ; then
      INSTALLDIR=${value}
    elif [ "x${option}" = "x--prefix" ] ; then
      INSTALLDIR=${value}
    elif [ "x${option}" = "x--datadir" ] ; then
      DATADIR=${value}
    elif [ "x${option}" = "x--with-hepmcversion" ] ; then
      HEPMCVERSION=${value}
    elif [ "x${option}" = "x--with-hepmc" ] ; then
      HEPMCLOCATION=${value}
    elif [ "x${option}" = "x--with-boost" ] ; then
      BOOSTLOCATION=${value}
    elif [ "x${option}" = "x--with-zlib" ] ; then
      ZLIBLOCATION=${value}
    else
      echo "${arg}: wrong option. Ignored." >&2
    fi
  fi
done

echo compilation mode is $COMPMODE
echo sharedlibs = $SHAREDLIBS

if [ "x${DATADIR}" = "x" ] ; then
  DATADIR=${INSTALLDIR}
fi

# Environment variables for building HepMC interface library. Note that
# the HepMC interface library is used by the examples main41, main42, ..  .
# Attention: if you have already run these examples and you change HepMC
# version you should reset your LD_LIBRARY_PATH
# The default values here correspond to CERN AFS lcg external
#
if [ "x${HEPMCVERSION}" != "x" ] ; then
  if [ "x${HEPMCLOCATION}" = "x" ] ; then
    export HEPMCLOCATION=/afs/cern.ch/sw/lcg/external/HepMC/${HEPMCVERSION}/${MYLCGPLATFORM}
  fi
fi
#   If you want to assign these variables by hand:
#
#export HEPMCVERSION=2.04.00
#export HEPMCLOCATION=/afs/cern.ch/sw/lcg/external/HepMC/${HEPMCVERSION}/${MYLCGPLATFORM}


if [ "x${HEPMCVERSION}" = "x" ] ; then
  if [ "x${HEPMCLOCATION}" != "x" ] ; then
#                                            try to find out which HepMC version
    test1=`echo $HEPMCLOCATION | grep \/1.`
    test2=`echo $HEPMCLOCATION | grep \/2.`
    echo $test1
    echo $test2
    if [ "x${test1}" != "x" ] ; then
      echo "Warning: HepMC 1 cannot be used anymore; Please use HepMC 2"
      echo "         The interface will not be built"
      export HEPMCLOCATION=
    fi
    if [ "x${test2}" != "x" ] ; then
      export HEPMCVERSION=2.`echo $HEPMCLOCATION | awk -F \/2. '{print $2}' | awk -F \/ '{print $1}'`
    fi
  fi
fi
if [ "x${HEPMCVERSION}" != "x" ] ; then
  export HEPMCMAINVERSION=`echo ${HEPMCVERSION} | awk -F . '{print$1}'`
  if [ ${HEPMCMAINVERSION} = 1 ] ; then
    echo "Warning: HepMC 1 cannot be used anymore; Please use HepMC 2"
    echo "         The interface will not be built"
    export HEPMCLOCATION=
  fi
fi
if [ "x${HEPMCLOCATION}" != "x" ] ; then
  if [ "x${HEPMCVERSION}" = "x" ] ; then
    echo "Warning: hepmc specified, but cannot find out which HepMC version"
    echo "Warning: if you specify HepMC 1 the compilation of interface will fail"
  fi
fi


#
# User-changeable part, experts  -----------------------------
#

# Switch off -Wshadow when gzip support is enabled
WSHADOW="-Wshadow"
if [ "x${ENABLEGZIP}" = "xyes" ]; then
  WSHADOW=""
fi

# export FFLAGS_OPT="-O2 -Wuninitialized"
# -Wuninitialized outputs many irrelevant warnings and therefore obscurs
export FFLAGS_OPT="-O2"
export FFLAGS_DBG=-g
export CFLAGS_OPT="-O2"
export CFLAGS_DBG=-g
export CXXFLAGS_OPT="-O2 -ansi -pedantic -W -Wall ${WSHADOW} ${ENABLE64}"
export CXXFLAGS_DBG="-g -ansi -pedantic -W -Wall ${WSHADOW} ${ENABLE64}"
#
# Find platform.
#
export ARCH0="`uname`"
export ARCH=${ARCH0}
export theGcc=`gcc -dumpversion | awk -F . '{print $1}'`
if [ ${theGcc} = 4 ]; then
  export ARCH=${ARCH}-gcc4
fi
echo Platform is $ARCH

#default platform settings:
export FCCOPY=$FC
if [ x$FC = x ]; then
  export FC=g77
fi
if [ x$CC = x ]; then
  export CC=gcc
fi
export FFLAGS="${FFLAGS_OPT}"
export CFLAGS="${CFLAGS_OPT}"
export CXXFLAGS="${CXXFLAGS_OPT}"
export FLIBS="-lfrtbegin -lg2c"
if [ ${COMPMODE} = OPT ]; then
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
fi
if [ ${COMPMODE} = DBG ]; then
  export FFLAGS="${FFLAGS_DBG}"
  export CFLAGS="${CFLAGS_DBG}"
  export CXXFLAGS="${CXXFLAGS_DBG}"
fi
LDFLAGSSHARED="${CXXFLAGS} -fPIC -shared"
LDFLAGLIBNAME="-Wl,-soname"
SHAREDSUFFIX=so
if [ $ARCH = Linux ]; then
  if [ x$FCCOPY = x ]; then
    export FC=g77
  fi
  export FFLAGS="${FFLAGS_OPT} -Wno-globals"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lfrtbegin -lg2c"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG} -Wno-globals"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
  LDFLAGSSHARED="${CXXFLAGS} -fPIC -shared"
  LDFLAGLIBNAME="-Wl,-soname"
  SHAREDSUFFIX=so
fi
# Linux platform with gcc4: new Fortran90 compiler.
if [ $ARCH = Linux-gcc4 ]; then
  if [ x$FCCOPY = x ]; then
    export FC=gfortran
  fi
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lgfortran -lgfortranbegin"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG}"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
  LDFLAGSSHARED="${CXXFLAGS} -fPIC -shared"
  LDFLAGLIBNAME="-Wl,-soname"
  SHAREDSUFFIX=so
fi
# Mac-OSX with gcc4
if [ $ARCH = Darwin-gcc4 ]; then
  if [ x$FCCOPY = x ]; then
    export FC=gfortran
  fi
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lgfortran"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG}"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
  LDFLAGSSHARED="${CXXFLAGS} -dynamiclib -single_module -flat_namespace -undefined suppress"
  LDFLAGLIBNAME="-Wl,-dylib_install_name"
  SHAREDSUFFIX=dylib
fi
# Mac-OSX with gcc3; is not tested
if [ $ARCH = Darwin ]; then
  if [ x$FCCOPY = x ]; then
    export FC=g77
  fi
  export FFLAGS="${FFLAGS_OPT}"
  export CFLAGS="${CFLAGS_OPT}"
  export CXXFLAGS="${CXXFLAGS_OPT}"
  export FLIBS="-lfrtbegin -lg2c"
  if [ ${COMPMODE} = OPT ]; then
    export FFLAGS="${FFLAGS_OPT}"
    export CFLAGS="${CFLAGS_OPT}"
    export CXXFLAGS="${CXXFLAGS_OPT}"
  fi
  if [ ${COMPMODE} = DBG ]; then
    export FFLAGS="${FFLAGS_DBG}"
    export CFLAGS="${CFLAGS_DBG}"
    export CXXFLAGS="${CXXFLAGS_DBG}"
  fi
  LDFLAGSSHARED="${CXXFLAGS} -dynamiclib -single_module -flat_namespace -undefined suppress"
  LDFLAGLIBNAME="-Wl,-dylib_install_name"
  SHAREDSUFFIX=dylib
fi


CXXFLAGS="${CXXFLAGS} $USRCXXFLAGS"
LDFLAGSSHARED="${LDFLAGSSHARED} $USRLDFLAGSSHARED"
if [ "x${USRSHAREDSUFFIX}" != "x" ] ; then
  SHAREDSUFFIX="${USRSHAREDSUFFIX}"
fi


#Platform & opt/dbg - independent flags and variables:


#
# End of the user-changeable part ---------------------------
#
# Checks
#
if [ $?HEPMCLOCATION ]; then
  if [ x${HEPMCLOCATION} != x ]; then
    if [ ! -d ${HEPMCLOCATION}/include ]; then
      echo "Warning: bad HEPMCLOCATION: directory ${HEPMCLOCATION}/include does not exist"
      echo "         The interface will not be built"
      export HEPMCLOCATION=
    fi
    if [ ! -d ${HEPMCLOCATION}/lib ]; then
      echo "Warning: bad HEPMCLOCATION: directory ${HEPMCLOCATION}/lib does not exist"
      echo "         The interface will not be built"
      export HEPMCLOCATION=
    fi
  fi
fi

# gzip support - do after SHAREDSUFFIX is set
if [ "x${ENABLEGZIP}" = "xyes" ]; then

  # Default locations if none given
  if [ "x${BOOSTLOCATION}" = "x" ]; then
    BOOSTLOCATION=/usr
  fi
  if [ "x${ZLIBLOCATION}" = "x" ]; then
    ZLIBLOCATION=/usr/lib
  fi

  # Check for Boost and zlib
  if [ "x${ENABLEGZIP}" = "xyes" ] ; then
    if [ ! -d "${BOOSTLOCATION}/include/boost/iostreams" ]; then
      echo "Error: cannot find required Boost include files; gzip support disabled"
      ENABLEGZIP=no
    fi

    # Some systems have Boost only under lib64?
    for i in lib lib64; do
      if [ -f "${BOOSTLOCATION}/$i/libboost_iostreams.${SHAREDSUFFIX}" ]; then
        BOOSTLIBLOCATION=${BOOSTLOCATION}/$i
        break
      fi
    done

    if [ "x${ENABLEGZIP}" = "xyes" -a x"${BOOSTLIBLOCATION}" = x ]; then
      echo "Error: cannot find required Boost library files; gzip support disabled"
      ENABLEGZIP=no
    fi

    if [ "x${ENABLEGZIP}" = "xyes" -a ! -f "${ZLIBLOCATION}/libz.${SHAREDSUFFIX}" ]; then
      echo "Error: cannot find zlib; gzip support disabled"
      ENABLEGZIP=no
    fi
  fi

  # Add flags
  if [ "x${ENABLEGZIP}" = "xyes" ] ; then
    echo gzip support is enabled
    CXXFLAGS="${CXXFLAGS} -DGZIPSUPPORT -I${BOOSTLOCATION}/include"
  fi
fi

rm -f config.mk

echo SHELL = /bin/sh > config.mk
echo ARCH = ${ARCH} >> config.mk
echo MYLCGPLATFORM = ${MYLCGPLATFORM} >> config.mk
echo SHAREDLIBS = ${SHAREDLIBS} >> config.mk
echo FC = ${FC} >> config.mk
echo CC = ${CC} >> config.mk
echo FFLAGS = ${FFLAGS} >> config.mk
echo CFLAGS = ${CFLAGS} >> config.mk
echo CXXFLAGS = ${CXXFLAGS} >> config.mk
echo FLIBS = ${FLIBS} >> config.mk
echo LDFLAGSSHARED = ${LDFLAGSSHARED} >> config.mk
echo LDFLAGLIBNAME = ${LDFLAGLIBNAME} >> config.mk
echo SHAREDSUFFIX = ${SHAREDSUFFIX} >> config.mk
echo INSTALLDIR = ${INSTALLDIR} >> config.mk
echo DATADIR = ${DATADIR} >> config.mk
#
if [ x${HEPMCLOCATION} != x ]; then
  if [ x${HEPMCVERSION} != x ]; then
    echo HEPMCVERSION = ${HEPMCVERSION} >> config.mk
  fi
  echo HEPMCLOCATION = ${HEPMCLOCATION} >> config.mk
fi
#
#
#
rm -f examples/config.sh
rm -f examples/config.csh
if [ x${HEPMCLOCATION} != x ]; then
  if [ $ARCH0 != Darwin ]; then
    echo "#!/bin/csh" > examples/config.csh
    echo 'if( ! $?LD_LIBRARY_PATH ) then' >> examples/config.csh
    echo "  setenv LD_LIBRARY_PATH ${HEPMCLOCATION}/lib" >> examples/config.csh
    echo "else" >> examples/config.csh
    echo "  setenv LD_LIBRARY_PATH" '${LD_LIBRARY_PATH}'":${HEPMCLOCATION}/lib" >> examples/config.csh
    echo "endif" >> examples/config.csh
    echo "#!/bin/sh" > examples/config.sh
    echo 'if [ ! $?LD_LIBRARY_PATH ]; then' >> examples/config.sh
    echo "  export LD_LIBRARY_PATH=${HEPMCLOCATION}/lib" >> examples/config.sh
    echo fi >> examples/config.sh
    echo 'if [ $?LD_LIBRARY_PATH ]; then' >> examples/config.sh
    echo "  export LD_LIBRARY_PATH="'${LD_LIBRARY_PATH}'":${HEPMCLOCATION}/lib" >> examples/config.sh
    echo fi >> examples/config.sh
  else
    echo "#!/bin/csh" > examples/config.csh
    echo 'if( ! $?DYLD_LIBRARY_PATH ) then' >> examples/config.csh
    echo "  setenv DYLD_LIBRARY_PATH ${HEPMCLOCATION}/lib" >> examples/config.csh
    echo "else" >> examples/config.csh
    echo "  setenv DYLD_LIBRARY_PATH" '${DYLD_LIBRARY_PATH}'":${HEPMCLOCATION}/lib" >> examples/config.csh
    echo "endif" >> examples/config.csh
    echo "#!/bin/sh" > examples/config.sh
    echo 'if [ ! $?DYLD_LIBRARY_PATH ]; then' >> examples/config.sh
    echo "  export DYLD_LIBRARY_PATH=${HEPMCLOCATION}/lib" >> examples/config.sh
    echo fi >> examples/config.sh
    echo 'if [ $?DYLD_LIBRARY_PATH ]; then' >> examples/config.sh
    echo "  export DYLD_LIBRARY_PATH="'${DYLD_LIBRARY_PATH}'":${HEPMCLOCATION}/lib" >> examples/config.sh
    echo fi >> examples/config.sh
  fi
fi

# gzip support - write locations into config.mk
if [ "x${ENABLEGZIP}" = "xyes" ] ; then
  echo "ENABLEGZIP = yes" >> config.mk
  echo "BOOSTLOCATION = ${BOOSTLOCATION}" >> config.mk
  echo "BOOSTLIBLOCATION = ${BOOSTLIBLOCATION}" >> config.mk
  echo "ZLIBLOCATION = ${ZLIBLOCATION}" >> config.mk
fi

# Substitute into pythia8-config script
mkdir -p bin
sed -e "s:@prefix@:$INSTALLDIR:" -e "s:@datadir@:$DATADIR:" \
    -e "s:@HEPMCPATH@:$HEPMCLOCATION:" \
    -e "s:@ENABLEGZIP@:$ENABLEGZIP:" \
    -e "s:@ZLIBPATH@:$ZLIBLOCATION:" \
    -e "s:@BOOSTINCPATH@:$BOOSTLOCATION:" \
    -e "s:@BOOSTLIBPATH@:$BOOSTLIBLOCATION:" \
    pythia8-config.in > bin/pythia8-config
chmod +x bin/pythia8-config
pythia8-8.1.86.orig/AUTHORS0000644000175000017500000000056612357054674013433 0ustar  sunsunAUTHORS:
Torbjorn Sjostrand 
Jesper Roy Christiansen 
Nishita Desai 
Philip Ilten 
Stephen Mrenna 
Stefan Prestel  
Peter Skands 

FORMER AUTHORS:
Stefan Ask 
Richard Corke 
pythia8-8.1.86.orig/src/0000755000175000017500000000000012357054765013144 5ustar  sunsunpythia8-8.1.86.orig/src/PartonSystems.cc0000644000175000017500000000677712357054762016324 0ustar  sunsun// PartonSystems.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// PartonSystem and PartonSystems classes.

#include "Pythia8/PartonSystems.h"

namespace Pythia8 {

//==========================================================================

// The PartonSystems class.

//--------------------------------------------------------------------------

// Replace the index of an incoming or outgoing parton by a new index.

void PartonSystems::replace(int iSys, int iPosOld, int iPosNew) {

  if (systems[iSys].iInA == iPosOld) {
    systems[iSys].iInA = iPosNew;
    return;
  }
  if (systems[iSys].iInB == iPosOld) {
    systems[iSys].iInB = iPosNew;
    return;
  }
  for (int i = 0; i < sizeOut(iSys); ++i)
  if (systems[iSys].iOut[i] == iPosOld) {
    systems[iSys].iOut[i] = iPosNew;
    return;
  }
  
}

//--------------------------------------------------------------------------

// Return index of any parton in system, list starting with beam remnants.

int PartonSystems::getAll(int iSys, int iMem) const {

  if (hasInAB(iSys)) {
    if (iMem == 0) return systems[iSys].iInA;
    if (iMem == 1) return systems[iSys].iInB;
    return systems[iSys].iOut[iMem - 2];
  } else return systems[iSys].iOut[iMem];

}

//--------------------------------------------------------------------------

// Find system of given outgoing parton, optionally also incoming one.

int PartonSystems::getSystemOf(int iPos, bool alsoIn) const {

  // Loop over systems and over final-state members in each system.
  for (int iSys = 0; iSys < sizeSys(); ++iSys) {
    if (alsoIn) {
      if (systems[iSys].iInA == iPos) return iSys;
      if (systems[iSys].iInB == iPos) return iSys;
    }
    for (int iMem = 0; iMem < sizeOut(iSys); ++iMem)
      if (systems[iSys].iOut[iMem] == iPos) return iSys;
  }

  // Failure signalled by return value -1.
  return -1;

}

//--------------------------------------------------------------------------

// Get the iMem index of iOut for an index into the event record

int PartonSystems::getIndexOfOut(int iSys, int iPos) const {
  for (int iMem = 0; iMem < sizeOut(iSys); ++iMem)
    if (systems[iSys].iOut[iMem] == iPos) return iMem;

  // Failure signalled by return value -1.
  return -1;
}


//--------------------------------------------------------------------------

// Print members in systems; for debug mainly.

void PartonSystems::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA Parton Systems Listing  -------------------"
     << "--------------------------------- "
     << "\n \n  no  inA  inB  out members  \n";
  
  // Loop over system list and over members in each system.
  for (int iSys = 0; iSys < sizeSys(); ++iSys) {
    os << " " << setw(3) << iSys << " " << setw(4) << systems[iSys].iInA
       << " " << setw(4) << systems[iSys].iInB;
    for (int iMem = 0; iMem < sizeOut(iSys); ++iMem) {
      if (iMem%16 == 0 && iMem > 0) os << "\n              ";
      os << " " << setw(4) << systems[iSys].iOut[iMem];
    }
    os << "\n";
  }

  // Alternative if no systems. Done.
  if (sizeSys() == 0) os << "    no systems defined \n";
  os << "\n --------  End PYTHIA Parton Systems Listing  ---------------"
     << "---------------------------------" << endl;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SLHAinterface.cc0000644000175000017500000005513212357054765016071 0ustar  sunsun// SLHAinterface.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

#include "Pythia8/SLHAinterface.h"

namespace Pythia8 {

//==========================================================================

// The SLHAinterface class.

//--------------------------------------------------------------------------

// Initialize and switch to SUSY couplings if reading SLHA spectrum.

void SLHAinterface::init( Settings& settings, Rndm* rndmPtr,
  Couplings* couplingsPtrIn, ParticleData* particleDataPtr,
  bool& useSLHAcouplings) {

  // Initialize SLHA couplingsPtr to PYTHIA one by default
  couplingsPtr     = couplingsPtrIn;
  useSLHAcouplings = false;

  // Check if SUSY couplings need to be read in
  if( !initSLHA(settings, particleDataPtr))
    infoPtr->errorMsg("Error in SLHAinterface::init: "
                      "Could not read SLHA file");

  // SLHA sets isSUSY flag to tell us if there was an SLHA SUSY spectrum
  if (couplingsPtr->isSUSY) {
    // Initialize the derived SUSY couplings class (SM first, then SUSY)
    coupSUSY.init( settings, rndmPtr);
    coupSUSY.initSUSY(&slha, infoPtr, particleDataPtr, &settings);
    // Switch couplingsPtr to point to the derived class
    // and tell PYTHIA to use it
    couplingsPtr = (Couplings *) &coupSUSY;
    useSLHAcouplings = true;
  }

}

//--------------------------------------------------------------------------

// Initialize SUSY Les Houches Accord data.

bool SLHAinterface::initSLHA(Settings& settings,
  ParticleData* particleDataPtr) {

  // Error and warning prefixes for this method
  string errPref  = "Error in SLHAinterface::initSLHA: ";
  string warnPref = "Warning in SLHAinterface::initSLHA: ";
  string infoPref = "Info from SLHAinterface::initSLHA: ";

  // Initial and settings values.
  int    ifailLHE    = 1;
  int    ifailSpc    = 1;
  int    readFrom    = settings.mode("SLHA:readFrom");
  string lhefFile    = settings.word("Beams:LHEF");
  string lhefHeader  = settings.word("Beams:LHEFheader");
  string slhaFile    = settings.word("SLHA:file");
  int    verboseSLHA = settings.mode("SLHA:verbose");
  bool   slhaUseDec  = settings.flag("SLHA:useDecayTable");

  // Set internal data members
  meMode      = settings.mode("SLHA:meMode");

  // No SUSY by default
  couplingsPtr->isSUSY = false;

  // Option with no SLHA read-in at all.
  if (readFrom == 0) return true;

  // First check LHEF header (if reading from LHEF)
  if (readFrom == 1) {
    if (lhefHeader != "void")
      ifailLHE = slha.readFile(lhefHeader, verboseSLHA, slhaUseDec );
    else if (lhefFile != "void")
      ifailLHE = slha.readFile(lhefFile, verboseSLHA, slhaUseDec );
  }

  // If LHEF read successful, everything needed should already be ready
  if (ifailLHE == 0) {
    ifailSpc = 0;
    couplingsPtr->isSUSY = true;
    // If no LHEF file or no SLHA info in header, read from SLHA:file
  } else {
    lhefFile = "void";
    if ( settings.word("SLHA:file") == "none"
      || settings.word("SLHA:file") == "void"
      || settings.word("SLHA:file") == ""
      || settings.word("SLHA:file") == " ") return true;
    ifailSpc = slha.readFile(slhaFile,verboseSLHA, slhaUseDec);
  }

  // In case of problems, print error and fail init.
  if (ifailSpc != 0) {
    infoPtr->errorMsg(errPref + "problem reading SLHA file", slhaFile);
    return false;
  } else {
    couplingsPtr->isSUSY = true;
  }

  // Check spectrum for consistency. Switch off SUSY if necessary.
  ifailSpc = slha.checkSpectrum();

  // ifail >= 1 : no MODSEL found -> don't switch on SUSY
  if (ifailSpc == 1) {
    // no SUSY, but MASS ok
    couplingsPtr->isSUSY = false;
    infoPtr->errorMsg(infoPref +
      "No MODSEL found, keeping internal SUSY switched off");
  } else if (ifailSpc >= 2) {
    // no SUSY, but problems
    infoPtr->errorMsg(warnPref + "Problem with SLHA MASS or QNUMBERS.");
    couplingsPtr->isSUSY = false;
  }
  // ifail = 0 : MODSEL found, spectrum OK
  else if (ifailSpc == 0) {
    // Print spectrum. Done.
    slha.printSpectrum(0);
  }
  else if (ifailSpc < 0) {
    infoPtr->errorMsg(warnPref + "Problem with SLHA spectrum.",
                      "\n Only using masses and switching off SUSY.");
    settings.flag("SUSY:all", false);
    couplingsPtr->isSUSY = false;
    slha.printSpectrum(ifailSpc);
  }

  // NMSSM spectrum (modify existing Higgs names and add particles) 
  if ( (ifailSpc == 1 || ifailSpc == 0) &&  slha.modsel(3) >= 1 ) {
    // Modify Higgs names 
    particleDataPtr->name(25,"H_1");
    particleDataPtr->name(35,"H_2");
    particleDataPtr->name(45,"H_3");
    particleDataPtr->name(36,"A_1");
    particleDataPtr->name(46,"A_2");
    particleDataPtr->name(1000045,"~chi_50");
  }

  // SLHA2 spectrum with flavour mixing (modify squark and/or slepton names)
  if ( (ifailSpc == 1 || ifailSpc == 0) &&  slha.modsel(6) >= 1 ) {
    // Squark flavour violation
    if ( (slha.modsel(6) == 1 || slha.modsel(6) >= 3) 
         && slha.usqmix.exists() && slha.dsqmix.exists() ) {
      // Modify squark names
      particleDataPtr->names(1000001,"~d1","~d1bar");
      particleDataPtr->names(1000002,"~u1","~u1bar");
      particleDataPtr->names(1000003,"~d2","~d2bar");
      particleDataPtr->names(1000004,"~u2","~u2bar");
      particleDataPtr->names(1000005,"~d3","~d3bar");
      particleDataPtr->names(1000006,"~u3","~u3bar");
      particleDataPtr->names(2000001,"~d4","~d4bar");
      particleDataPtr->names(2000002,"~u4","~u4bar");
      particleDataPtr->names(2000003,"~d5","~d5bar");
      particleDataPtr->names(2000004,"~u5","~u5bar");
      particleDataPtr->names(2000005,"~d6","~d6bar");
      particleDataPtr->names(2000006,"~u6","~u6bar");
    }
    // Slepton flavour violation
    if ( (slha.modsel(6) == 2 || slha.modsel(6) >= 3) 
         && slha.selmix.exists()) {
      // Modify slepton names
      particleDataPtr->names(1000011,"~e1-","~e1+");
      particleDataPtr->names(1000013,"~e2-","~e2+");
      particleDataPtr->names(1000015,"~e3-","~e3+");
      particleDataPtr->names(2000011,"~e4-","~e4+");
      particleDataPtr->names(2000013,"~e5-","~e5+");
      particleDataPtr->names(2000015,"~e6-","~e6+");
    }
    // Sneutrino flavour violation
    if ( (slha.modsel(6) == 2 || slha.modsel(6) >= 3) 
         && slha.snumix.exists()) {
      // Modify sneutrino names
      particleDataPtr->names(1000012,"~nu_1","~nu_1bar");
      particleDataPtr->names(1000014,"~nu_2","~nu_2bar");
      particleDataPtr->names(1000016,"~nu_3","~nu_3bar");
    }
    // Optionally allow for separate scalar and pseudoscalar sneutrinos
    if ( slha.snsmix.exists() && slha.snamix.exists() ) {
      // Scalar sneutrinos
      particleDataPtr->names(1000012,"~nu_S1","~nu_S1bar");
      particleDataPtr->names(1000014,"~nu_S2","~nu_S2bar");
      particleDataPtr->names(1000016,"~nu_S3","~nu_S3bar");
      // Add the pseudoscalar sneutrinos
      particleDataPtr->addParticle(1000017, "~nu_A1", "~nu_A1bar",1, 0., 0);
      particleDataPtr->addParticle(1000018, "~nu_A2", "~nu_A2bar",1, 0., 0);    
      particleDataPtr->addParticle(1000019, "~nu_A3", "~nu_A3bar",1, 0., 0);    
    }
  }

  // SLHA2 spectrum with RPV
  if ( (ifailSpc == 1 || ifailSpc == 0) &&  slha.modsel(4) >= 1 ) {
    if ( slha.rvnmix.exists() ) {
      // Neutralinos -> neutrinos
      particleDataPtr->names(12,"nu_1","nu_1bar");
      particleDataPtr->names(14,"nu_2","nu_2bar");
      particleDataPtr->names(16,"nu_3","nu_3bar");
      particleDataPtr->names(1000022,"nu_4","nu_4bar");
      particleDataPtr->names(1000023,"nu_5","nu_5bar");
      particleDataPtr->names(1000025,"nu_6","nu_6bar");
      particleDataPtr->names(1000035,"nu_7","nu_7bar");      
    }
    if ( slha.rvumix.exists() && slha.rvvmix.exists() ) {
      // Charginos -> charged leptons (note sign convention)
      particleDataPtr->names(11,"e_1-","e_1+");
      particleDataPtr->names(13,"e_2-","e_2+");
      particleDataPtr->names(15,"e_3-","e_3+");
      particleDataPtr->names(1000024,"e_4+","e_4-");
      particleDataPtr->names(1000037,"e_5+","e_5-");
    }
    if ( slha.rvhmix.exists() ) {
      // Sneutrinos -> higgses
      particleDataPtr->name(25,"H_1");
      particleDataPtr->name(35,"H_2");
      particleDataPtr->name(1000012,"H_3");
      particleDataPtr->name(1000014,"H_4");
      particleDataPtr->name(1000016,"H_5");
    }
    if ( slha.rvamix.exists() ) {
      // Sneutrinos -> higgses
      particleDataPtr->name(36,"A_1");
      particleDataPtr->name(1000017,"A_2");
      particleDataPtr->name(1000018,"A_3");
      particleDataPtr->name(1000019,"A_4");
    }
    if ( slha.rvlmix.exists() ) {
      // sleptons -> charged higgses (note sign convention)
      particleDataPtr->names(37,"H_1+","H_1-");
      particleDataPtr->names(1000011,"H_2-","H_2+");
      particleDataPtr->names(1000013,"H_3-","H_3+");
      particleDataPtr->names(1000015,"H_4-","H_4+");
      particleDataPtr->names(2000011,"H_5-","H_5+");
      particleDataPtr->names(2000013,"H_6-","H_6+");
      particleDataPtr->names(2000015,"H_7-","H_7+");
    }
  }

  // SLHA2 spectrum with CPV 
  if ( (ifailSpc == 1 || ifailSpc == 0) &&  slha.modsel(5) >= 1 ) {
    // no scalar/pseudoscalar distinction
    particleDataPtr->name(25,"H_1");
    particleDataPtr->name(35,"H_2");
    particleDataPtr->name(36,"H_3");    
  }

  // Import qnumbers
  if ( (ifailSpc == 1 || ifailSpc == 0) && slha.qnumbers.size() > 0) {
    for (int iQnum=0; iQnum < int(slha.qnumbers.size()); iQnum++) {
      // Always use positive id codes
      int id = abs(slha.qnumbers[iQnum](0));
      ostringstream idCode;
      idCode << id;
      if (particleDataPtr->isParticle(id)) {
        infoPtr->errorMsg(warnPref + "ignoring QNUMBERS", "for id = "
                          + idCode.str() + " (already exists)", true);
      } else {
        int qEM3    = slha.qnumbers[iQnum](1);
        int nSpins  = slha.qnumbers[iQnum](2);
        int colRep  = slha.qnumbers[iQnum](3);
        int hasAnti = slha.qnumbers[iQnum](4);
        // Translate colRep to PYTHIA colType
        int colType = 0;
        if (colRep == 3) colType = 1;
        else if (colRep == -3) colType = -1;
        else if (colRep == 8) colType = 2;
        else if (colRep == 6) colType = 3;
        else if (colRep == -6) colType = -3;
        // Default name: PDG code
        string name, antiName;
        ostringstream idStream;
        idStream<addParticle(id, name, nSpins, qEM3, colType);
        } else {
          particleDataPtr->addParticle(id, name, antiName, nSpins, qEM3,
            colType);
        }
      }
    }
  }

  // Import mass spectrum.
  bool   keepSM            = settings.flag("SLHA:keepSM");
  double minMassSM         = settings.parm("SLHA:minMassSM");
  bool   allowUserOverride = settings.flag("SLHA:allowUserOverride");
  vector idModified;
  if (ifailSpc == 1 || ifailSpc == 0) {

    // Start at beginning of mass array
    int    id = slha.mass.first();
    // Loop through to update particle data.
    for (int i = 1; i <= slha.mass.size() ; i++) {
      // Step to next mass entry 
      if (i>1) id = slha.mass.next();
      ostringstream idCode;
      idCode << id;
      double mass = abs(slha.mass(id));

      // Ignore masses for known SM particles or particles with
      // default masses < minMassSM; overwrite masses for rest.
      if (keepSM && (id < 25 || (id > 80 && id < 1000000))) ;
      else if (id < 1000000 && particleDataPtr->m0(id) < minMassSM) {
        cout<<" id = "<hasChanged(id)) {
        ostringstream mValue;
        mValue << particleDataPtr->m0(id);
        infoPtr->errorMsg(warnPref + "keeping user mass",
          "for id = " + idCode.str() + ", m0 = " + mValue.str(), true);
        idModified.push_back(id);
      }
      else {
        particleDataPtr->m0(id,mass);
        idModified.push_back(id);
      }
    };

  }

  // Update decay data.
  for (int iTable=0; iTable < int(slha.decays.size()); iTable++) {

    // Pointer to this SLHA table
    LHdecayTable* slhaTable=&(slha.decays[iTable]);

    // Extract ID and create pointer to corresponding particle data object
    int idRes     = slhaTable->getId();
    ostringstream idCode;
    idCode << idRes;
    ParticleDataEntry* particlePtr
      = particleDataPtr->particleDataEntryPtr(idRes);

    // Ignore decay channels for known SM particles or particles with
    // default masses < minMassSM; overwrite masses for rest.
    if (keepSM && (idRes < 25 || (idRes > 80 && idRes < 1000000))) continue;
    else if (idRes < 1000000 && particleDataPtr->m0(idRes) < minMassSM
             && !particleDataPtr->hasChanged(idRes) ) {
      infoPtr->errorMsg(warnPref + "ignoring DECAY table", "for id = "
                        + idCode.str() + " (m0 < SLHA:minMassSM)", true);
      continue;
    }

    // Verbose output. Let user know we are using these tables.
    if (verboseSLHA <= 1) 
      infoPtr->errorMsg(infoPref + "importing SLHA decay table(s)","");
    else 
      infoPtr->errorMsg(infoPref + "importing SLHA decay table","for id = "
                        +idCode.str(),true);

    // Extract and store total width (absolute value, neg -> switch off)
    double widRes         = abs(slhaTable->getWidth());
    double pythiaMinWidth = settings.parm("ResonanceWidths:minWidth");
    if (widRes > 0. && widRes < pythiaMinWidth) {
      infoPtr->errorMsg(warnPref + "forcing width = 0 ","for id = "
        + idCode.str() + " (width < ResonanceWidths:minWidth)" , true);
      widRes = 0.0;
    }
    particlePtr->setMWidth(widRes);

    // Set lifetime in mm for displaced vertex calculations
    // (convert GeV^-1 to mm)
    if (widRes > 0.) {
      double decayLength = 1.97e-13/widRes;
      particlePtr->setTau0(decayLength);
    
      // Reset decay table of the particle. Allow decays, treat as resonance.
      if (slhaTable->size() > 0) {
        particlePtr->clearChannels();
        particleDataPtr->mayDecay(idRes,true);
        particleDataPtr->isResonance(idRes,true);
      } else {
        infoPtr->errorMsg(warnPref + "empty DECAY table ","for id = "
          + idCode.str() + " (total width provided but no branching"
          + " fractions)", true);
      }
    }
    // Reset to stable if width <= 0.0
    else {
      particlePtr->clearChannels();
      particleDataPtr->mayDecay(idRes,false);
      particleDataPtr->isResonance(idRes,false);
    }

    // Set initial minimum mass.
    double brWTsum   = 0.;
    double massWTsum = 0.;

    // Loop over SLHA channels, import into Pythia, treating channels
    // with negative branching fractions as having the equivalent positive
    // branching fraction, but being switched off for this run
    for (int iChannel=0 ; iChannelsize(); iChannel++) {
      LHdecayChannel slhaChannel = slhaTable->getChannel(iChannel);
      double brat      = slhaChannel.getBrat();
      vector idDa = slhaChannel.getIdDa();
      if (idDa.size() >= 9) {
        infoPtr->errorMsg(errPref + "max number of DECAY products is 8");
      } else if (idDa.size() <= 1) {
        infoPtr->errorMsg(errPref + "min number of DECAY products is 2");
      }
      else {
        int onMode = 1;
        if (brat < 0.0) onMode = 0;
        int meModeNow = meMode;

        // Check phase space, including margin ~ sqrt(sum(widths^2))
        double massSum(0.);
        double widSqSum = pow2(widRes);
        int nDa = idDa.size();
        for (int jDa=0; jDam0( idDa[jDa] );
          widSqSum +=  pow2(particleDataPtr->mWidth( idDa[jDa] ));
        }
        double deltaM = particleDataPtr->m0(idRes) - massSum;
        // Negative mass difference: intrinsically off shell
        if (onMode == 1 && brat > 0.0 && deltaM < 0.) {
          // String containing decay name
          ostringstream errCode;
          errCode << idRes <<" ->";
          for (int jDa=0; jDa 100. * sqrt(widSqSum)) {
            infoPtr->errorMsg(warnPref + "switched off DECAY mode",
              ": " + errCode.str()+" (too far off shell)",true);
            onMode = 0;
          }
          // If ~ OK within fluctuations
          else {
            // Ignore user-selected meMode
            if (meModeNow != 100) {
              infoPtr->errorMsg(warnPref + "adding off shell DECAY mode",
                ": "+errCode.str()+" (forced meMode = 100)",true);
              meModeNow = 100;
            } else {
              infoPtr->errorMsg(warnPref + "adding off shell DECAY mode",
                errCode.str(), true);
            }
          }
        }
        // Branching-ratio-weighted average mass in decay.
        brWTsum   += abs(brat);
        massWTsum += abs(brat) * massSum;

        // Add channel
        int id0 = idDa[0];
        int id1 = idDa[1];
        int id2 = (idDa.size() >= 3) ? idDa[2] : 0;
        int id3 = (idDa.size() >= 4) ? idDa[3] : 0;
        int id4 = (idDa.size() >= 5) ? idDa[4] : 0;
        int id5 = (idDa.size() >= 6) ? idDa[5] : 0;
        int id6 = (idDa.size() >= 7) ? idDa[6] : 0;
        int id7 = (idDa.size() >= 8) ? idDa[7] : 0;
        particlePtr->addChannel(onMode,abs(brat),meModeNow,
                                id0,id1,id2,id3,id4,id5,id6,id7);

      }
    }

    // Set minimal mass, but always below nominal one.
    if (slhaTable->size() > 0) {
      double massAvg = massWTsum / brWTsum;
      double massMin = min( massAvg, particlePtr->m0()) ;
      particlePtr->setMMin(massMin);
    }
    
    // Add to list of particles that have been modified
    idModified.push_back(idRes);

  }

  // Sanity check of all decay tables with modified MASS or DECAY info
  for (int iMod = 0; iMod < int(idModified.size()); ++iMod) {
    int id = idModified[iMod];
    ostringstream idCode;
    idCode << id;
    ParticleDataEntry* particlePtr
      = particleDataPtr->particleDataEntryPtr(id);
    double m0  = particlePtr->m0();
    double wid = particlePtr->mWidth();
    // Always set massless particles stable
    if (m0 <= 0.0 && (wid > 0.0 || particlePtr->mayDecay())) {
      infoPtr->errorMsg(warnPref + "massless particle forced stable"," id = "
        + idCode.str(), true);
      particlePtr->clearChannels();
      particlePtr->setMWidth(0.0);
      particlePtr->setMayDecay(false);
      particleDataPtr->isResonance(id,false);
      continue;
    }
    // Declare zero-width particles to be stable (for now)
    if (wid == 0.0 && particlePtr->mayDecay()) {
      particlePtr->setMayDecay(false);
      continue;
    }
    // Check at least one on-shell channel is available
    double mSumMin = 10. * m0;
    int nChannels = particlePtr->sizeChannels();
    if (nChannels >= 1) {
      for (int iChannel=0; iChannelchannel(iChannel);
        if (channel.onMode() <= 0) continue;
        int nProd = channel.multiplicity();
        double mSum = 0.;
        for (int iDa = 0; iDa < nProd; ++iDa) {
          int idDa   = channel.product(iDa);
          mSum += particleDataPtr->m0(idDa);
        }
        mSumMin = min(mSumMin, mSum);
      }
      // Require at least one on-shell channel
      if (mSumMin > m0) {
        infoPtr->errorMsg(warnPref + "particle forced stable"," id = "
                  + idCode.str() + " (no on-shell decay channels)", true);
        particlePtr->setMWidth(0.0);
        particlePtr->setMayDecay(false);
        continue;
      }
      else {
      // mMin: lower cutoff on Breit-Wigner: default is mMin = m0 - 5*Gamma
      // (User is allowed to specify a lower value if desired.)
      // Increase minimum if needed to ensure at least one channel on shell
        double mMin = min(particlePtr->mMin(), max(0.0,m0 - 5.*wid));
        mMin = max(mSumMin,mMin);
        particlePtr->setMMin(mMin);
      }
    } 
  }
  
  return true;

}

//--------------------------------------------------------------------------

// Initialize SLHA blocks SMINPUTS and MASS from PYTHIA SM parameter values.
// E.g., to make sure that there are no important unfilled entries

void SLHAinterface::pythia2slha(ParticleData* particleDataPtr) {

  // Initialize block SMINPUTS.
  string blockName = "sminputs";
  double mZ = particleDataPtr->m0(23);
  slha.set(blockName,1,1.0/couplingsPtr->alphaEM(pow2(mZ)));
  slha.set(blockName,2,couplingsPtr->GF());
  slha.set(blockName,3,couplingsPtr->alphaS(pow2(mZ)));
  slha.set(blockName,4,mZ);
  // b mass (should be running mass, here pole for time being)
  slha.set(blockName,5,particleDataPtr->m0(5));
  slha.set(blockName,6,particleDataPtr->m0(6));
  slha.set(blockName,7,particleDataPtr->m0(15));
  slha.set(blockName,8,particleDataPtr->m0(16));
  slha.set(blockName,11,particleDataPtr->m0(11));
  slha.set(blockName,12,particleDataPtr->m0(12));
  slha.set(blockName,13,particleDataPtr->m0(13));
  slha.set(blockName,14,particleDataPtr->m0(14));
  // Force 3 lightest quarks massless
  slha.set(blockName,21,double(0.0));
  slha.set(blockName,22,double(0.0));
  slha.set(blockName,23,double(0.0));
  // c mass (should be running mass, here pole for time being)
  slha.set(blockName,24,particleDataPtr->m0(4));

  // Initialize block MASS.
  blockName = "mass";
  int id = 1;
  int count = 0;
  while (particleDataPtr->nextId(id) > id) {
    slha.set(blockName,id,particleDataPtr->m0(id));
    id = particleDataPtr->nextId(id);
    ++count;
    if (count > 10000) {
      infoPtr->errorMsg("Error in SLHAinterface::pythia2slha(): "
                        "encountered infinite loop when saving mass block");
      break;
    }
  }

}

//==========================================================================

} // end namespace Pythia8



pythia8-8.1.86.orig/src/SigmaOnia.cc0000644000175000017500000011430512357054764015325 0ustar  sunsun// SigmaOnia.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// charmonia/bottomonia simulation classes.

#include "Pythia8/SigmaOnia.h"
#include 
namespace Pythia8 {

//==========================================================================

// SigmaOniaSetup class.
// A helper class used to setup the SigmaOnia processes.

//--------------------------------------------------------------------------

// The constructor.

SigmaOniaSetup::SigmaOniaSetup(Info* infoPtrIn, Settings* settingsPtrIn,
  ParticleData* particleDataPtrIn, int flavourIn) 
  : valid3S1(true), valid3PJ(true), valid3DJ(true), flavour(flavourIn) {

  // Set the pointers and category/key strings and mass splitting.
  infoPtr = infoPtrIn;
  settingsPtr = settingsPtrIn;
  particleDataPtr = particleDataPtrIn;
  cat   = (flavour == 4) ? "Charmonium" : "Bottomonium";
  key   = (flavour == 4) ? "ccbar" : "bbbar";
  mSplit = settingsPtr->parm("Onia:massSplit");
  if (!settingsPtr->flag("Onia:forceMassSplit")) mSplit = -mSplit;

  // Set the general switch settings.
  onia        = settingsPtr->flag("Onia:all");
  onia3S1     = settingsPtr->flag("Onia:all(3S1)");
  onia3PJ     = settingsPtr->flag("Onia:all(3PJ)");
  onia3DJ     = settingsPtr->flag("Onia:all(3DJ)");
  oniaFlavour = settingsPtr->flag(cat + ":all");

  // Set the names of the matrix element settings.
  meNames3S1.push_back(cat + ":O(3S1)[3S1(1)]");
  meNames3S1.push_back(cat + ":O(3S1)[3S1(8)]");
  meNames3S1.push_back(cat + ":O(3S1)[1S0(8)]");
  meNames3S1.push_back(cat + ":O(3S1)[3P0(8)]");
  meNames3PJ.push_back(cat + ":O(3PJ)[3P0(1)]");
  meNames3PJ.push_back(cat + ":O(3PJ)[3S1(8)]");
  meNames3DJ.push_back(cat + ":O(3DJ)[3D1(1)]");
  meNames3DJ.push_back(cat + ":O(3DJ)[3P0(8)]");

  // Set the names of the production settings.
  ggNames3S1.push_back(cat + ":gg2" + key + "(3S1)[3S1(1)]g");
  ggNames3S1.push_back(cat + ":gg2" + key + "(3S1)[3S1(8)]g");
  ggNames3S1.push_back(cat + ":gg2" + key + "(3S1)[1S0(8)]g");
  ggNames3S1.push_back(cat + ":gg2" + key + "(3S1)[3PJ(8)]g");
  qgNames3S1.push_back(cat + ":qg2" + key + "(3S1)[3S1(8)]q");
  qgNames3S1.push_back(cat + ":qg2" + key + "(3S1)[1S0(8)]q");
  qgNames3S1.push_back(cat + ":qg2" + key + "(3S1)[3PJ(8)]q");
  qqNames3S1.push_back(cat + ":qqbar2" + key + "(3S1)[3S1(8)]g");
  qqNames3S1.push_back(cat + ":qqbar2" + key + "(3S1)[1S0(8)]g");
  qqNames3S1.push_back(cat + ":qqbar2" + key + "(3S1)[3PJ(8)]g");
  ggNames3PJ.push_back(cat + ":gg2" + key + "(3PJ)[3PJ(1)]g");
  ggNames3PJ.push_back(cat + ":gg2" + key + "(3PJ)[3S1(8)]g");
  qgNames3PJ.push_back(cat + ":qg2" + key + "(3PJ)[3PJ(1)]q");
  qgNames3PJ.push_back(cat + ":qg2" + key + "(3PJ)[3S1(8)]q");
  qqNames3PJ.push_back(cat + ":qqbar2" + key + "(3PJ)[3PJ(1)]g");
  qqNames3PJ.push_back(cat + ":qqbar2" + key + "(3PJ)[3S1(8)]g");
  ggNames3DJ.push_back(cat + ":gg2" + key + "(3DJ)[3DJ(1)]g");
  ggNames3DJ.push_back(cat + ":gg2" + key + "(3DJ)[3PJ(8)]g");
  qgNames3DJ.push_back(cat + ":qg2" + key + "(3DJ)[3PJ(8)]q");
  qqNames3DJ.push_back(cat + ":qqbar2" + key + "(3DJ)[3PJ(8)]g");

  // Initialise and check all settings.
  states3S1 = settingsPtr->mvec(cat + ":states(3S1)");
  initStates("3S1", states3S1, spins3S1, valid3S1);
  initSettings("3S1", states3S1.size(), meNames3S1, mes3S1, valid3S1);
  initSettings("3S1", states3S1.size(), ggNames3S1, ggs3S1, valid3S1);
  initSettings("3S1", states3S1.size(), qgNames3S1, qgs3S1, valid3S1);
  initSettings("3S1", states3S1.size(), qqNames3S1, qqs3S1, valid3S1);
  states3PJ = settingsPtr->mvec(cat + ":states(3PJ)");
  initStates("3PJ", states3PJ, spins3PJ, valid3PJ);
  initSettings("3PJ", states3PJ.size(), meNames3PJ, mes3PJ, valid3PJ);
  initSettings("3PJ", states3PJ.size(), ggNames3PJ, ggs3PJ, valid3PJ);
  initSettings("3PJ", states3PJ.size(), qgNames3PJ, qgs3PJ, valid3PJ);
  initSettings("3PJ", states3PJ.size(), qqNames3PJ, qqs3PJ, valid3PJ);
  states3DJ = settingsPtr->mvec(cat + ":states(3DJ)");
  initStates("3DJ", states3DJ, spins3DJ, valid3DJ);
  initSettings("3DJ", states3DJ.size(), meNames3DJ, mes3DJ, valid3DJ);
  initSettings("3DJ", states3DJ.size(), ggNames3DJ, ggs3DJ, valid3DJ);
  initSettings("3DJ", states3DJ.size(), qgNames3DJ, qgs3DJ, valid3DJ);
  initSettings("3DJ", states3DJ.size(), qqNames3DJ, qqs3DJ, valid3DJ);

}

//--------------------------------------------------------------------------

// Initialise the SigmaProcesses for g g -> X g production.

void SigmaOniaSetup::setupSigma2gg(vector &procs, bool oniaIn) {

  // Initialise the 3S1 processes.
  if (valid3S1) {
    for (unsigned int i = 0; i < states3S1.size(); ++i) {
      bool flag = oniaIn || onia || onia3S1 || oniaFlavour;
      // Colour-singlet.
      if (flag || ggs3S1[0][i])
	procs.push_back(new Sigma2gg2QQbar3S11g
          (states3S1[i], mes3S1[0][i], flavour*100 + 1));
      // Colour-octet.
      if (flag || ggs3S1[1][i])
	procs.push_back(new Sigma2gg2QQbarX8g
	  (states3S1[i], mes3S1[1][i], 0, mSplit, flavour*100+2));
      if (flag || ggs3S1[2][i]) 
        procs.push_back(new Sigma2gg2QQbarX8g
	  (states3S1[i], mes3S1[2][i], 1, mSplit, flavour*100+5));
      if (flag || ggs3S1[3][i])
	procs.push_back(new Sigma2gg2QQbarX8g
	  (states3S1[i], mes3S1[3][i], 2, mSplit, flavour*100+8));
    }
  }

  // Initialise the 3PJ processes.
  if (valid3PJ) {
    for (unsigned int i = 0; i < states3PJ.size(); ++i) {
      bool flag = oniaIn || onia || onia3PJ || oniaFlavour;
      // Colour-singlet.
      if (flag || ggs3PJ[0][i]) {
	procs.push_back(new Sigma2gg2QQbar3PJ1g
	  (states3PJ[i], mes3PJ[0][i], spins3PJ[i], flavour*100 + 11));
      }
      // Colour-octet.
      if (flag || ggs3PJ[1][i])
	procs.push_back(new Sigma2gg2QQbarX8g
	  (states3PJ[i], mes3PJ[1][i], 0, mSplit, flavour*100+14));
    }
  }

  // Initialise the 3DJ processes.
  if (valid3DJ) {
    for (unsigned int i = 0; i < states3DJ.size(); ++i) {
      bool flag = oniaIn || onia || onia3DJ || oniaFlavour;
      // Colour-singlet.
      if (flag || ggs3DJ[0][i]) {
	procs.push_back(new Sigma2gg2QQbar3DJ1g
	  (states3DJ[i], mes3DJ[0][i], spins3DJ[i], flavour*100 + 17));
      }
      // Colour-octet.
      if (flag || ggs3DJ[1][i]) {
	procs.push_back(new Sigma2gg2QQbarX8g
	  (states3DJ[i], mes3DJ[1][i], 2, mSplit, flavour*100+18));
      }
    }
  }

}

//--------------------------------------------------------------------------

// Initialise the SigmaProcesses for q g -> X q production.

void SigmaOniaSetup::setupSigma2qg(vector &procs, bool oniaIn) {

  // Initialise the 3S1 processes.
  if (valid3S1) {
    for (unsigned int i = 0; i < states3S1.size(); ++i) {
      bool flag = oniaIn || onia || onia3S1 || oniaFlavour;
      // Colour-octet.
      if (flag || qgs3S1[0][i])
	procs.push_back(new Sigma2qg2QQbarX8q
	  (states3S1[i], mes3S1[1][i], 0, mSplit, flavour*100+3));
      if (flag || qgs3S1[1][i])
	procs.push_back(new Sigma2qg2QQbarX8q
	  (states3S1[i], mes3S1[2][i], 1, mSplit, flavour*100+6));
      if (flag || qgs3S1[2][i])
	procs.push_back(new Sigma2qg2QQbarX8q
	  (states3S1[i], mes3S1[3][i], 2, mSplit, flavour*100+9));
    }
  }

  // Initialise the 3PJ processes.
  if (valid3PJ) {
    for (unsigned int i = 0; i < states3PJ.size(); ++i) {
      bool flag = oniaIn || onia || onia3PJ || oniaFlavour;
      // Colour-singlet.
      if (flag || qgs3PJ[0][i])
	procs.push_back(new Sigma2qg2QQbar3PJ1q
	  (states3PJ[i], mes3PJ[0][i], spins3PJ[i], flavour*100 + 12));
      // Colour-octet.
      if (flag || qgs3PJ[1][i])
	procs.push_back(new Sigma2qg2QQbarX8q
	  (states3PJ[i], mes3PJ[1][i], 0, mSplit, flavour*100+15));
    }
  }

  // Initialise the 3DJ processes.
  if (valid3DJ) {
    for (unsigned int i = 0; i < states3DJ.size(); ++i) {
      bool flag = oniaIn || onia || onia3DJ || oniaFlavour;
      // Colour-octet.
      if (flag || qgs3DJ[0][i])
	procs.push_back(new Sigma2qg2QQbarX8q
	  (states3DJ[i], mes3DJ[1][i], 2, mSplit, flavour*100+19));
    }
  }

}

//--------------------------------------------------------------------------

// Initialise the SigmaProcesses for q qbar -> X g production.

void SigmaOniaSetup::setupSigma2qq(vector &procs, bool oniaIn) {

  // Initialise the 3S1 processes.
  if (valid3S1) {
    for (unsigned int i = 0; i < states3S1.size(); ++i) {
      bool flag = oniaIn || onia || onia3S1 || oniaFlavour;
      // Colour-octet.
      if (flag || qqs3S1[0][i])
	procs.push_back(new Sigma2qqbar2QQbarX8g
	  (states3S1[i], mes3S1[1][i], 0, mSplit, flavour*100+4));
      if (flag || qqs3S1[1][i])
	procs.push_back(new Sigma2qqbar2QQbarX8g
	  (states3S1[i], mes3S1[2][i], 1, mSplit, flavour*100+7));
      if (flag || qqs3S1[2][i])
	procs.push_back(new Sigma2qqbar2QQbarX8g
	  (states3S1[i], mes3S1[3][i], 2, mSplit, flavour*100+10));
    }
  }

  // Initialise the 3PJ processes.
  if (valid3PJ) {
    for (unsigned int i = 0; i < states3PJ.size(); ++i) {
      bool flag = oniaIn || onia || onia3PJ || oniaFlavour;
      // Colour-singlet.
      if (flag || qqs3PJ[0][i])
	procs.push_back(new Sigma2qqbar2QQbar3PJ1g
	  (states3PJ[i], mes3PJ[0][i], spins3PJ[i], flavour*100 + 13));
      // Colour-octet.
      if (flag || qqs3PJ[1][i])
	procs.push_back(new Sigma2qqbar2QQbarX8g
	  (states3PJ[i], mes3PJ[1][i], 0, mSplit, flavour*100+16));
    }
  }

  // Initialise the 3DJ processes.
  if (valid3DJ) {
    for (unsigned int i = 0; i < states3DJ.size(); ++i) {
      bool flag = oniaIn || onia || onia3DJ || oniaFlavour;
      // Colour-octet.
      if (flag || qqs3DJ[0][i])
	procs.push_back(new Sigma2qqbar2QQbarX8g
	  (states3DJ[i], mes3DJ[1][i], 2, mSplit, flavour*100+20));
    }
  }

}

//--------------------------------------------------------------------------

// Initialise and check the flavour, j-number, and validity of states.

void SigmaOniaSetup::initStates(string wave, const vector &states, 
  vector &jnums, bool &valid) {

  set unique;
  unsigned int nstates(0);
  for (unsigned int i = 0; i < states.size(); ++i) {
  
    // Check state is unique and remove if not.
    stringstream state;
    state << states[i];
    unique.insert(states[i]);
    if (nstates + 1 != unique.size()) {
      infoPtr->errorMsg("Error in SigmaOniaSetup::initStates: particle "
			+ state.str() + " in mvec " + cat + ":states(" 
			+ wave + ")", "has duplicates");
      valid = false;
    } else ++nstates;

    // Determine quark composition and quantum numbers.
    int mod1(10), mod2(1);
    vector digits;
    while (digits.size() < 7) {
      digits.push_back((states[i]%mod1 - states[i]%mod2) / mod2);
      mod1 *= 10; 
      mod2 *= 10;
    }
    int s, l, j((digits[0] - 1)/2);
    if (j != 0) {
      if      (digits[4] == 0) {l = j - 1; s = 1;}
      else if (digits[4] == 1) {l = j;     s = 0;}
      else if (digits[4] == 2) {l = j;     s = 1;}
      else                     {l = j + 1; s = 1;}
    } else {
      if      (digits[4] == 0) {l = 0;  s = 0;}
      else                     {l = 1;  s = 1;}
    }
    
    // Check state validity.
    if (states[i] != 0) {
      if (!particleDataPtr->isParticle(states[i])) {
	infoPtr->errorMsg("Error in SigmaOniaSetup::initStates: particle "
			  + state.str() + " in mvec " + cat + ":states(" 
			  + wave + ")", "is unknown");
	valid = false;
      }
      if (digits[3] != 0) {
	infoPtr->errorMsg("Error in SigmaOniaSetup::initStates: particle "
			  + state.str() + " in mvec " + cat + ":states(" 
			  + wave + ")", " is not a meson");
	valid = false;
      }
      if (digits[2] != digits[1] || digits[1] != flavour) {
	infoPtr->errorMsg("Error in SigmaOniaSetup::initStates: particle "
			  + state.str() + " in mvec " + cat + ":states(" 
			  + wave + ")", "is not a " + key + " state");
	valid = false;
      }
      if ((wave == "3S1" && (s != 1 || l != 0 || j != 1)) ||
	  (wave == "3PJ" && (s != 1 || l != 1 || j < 0 || j > 2)) ||
	  (wave == "3DJ" && (s != 1 || l != 2 || j < 1 || j > 3))) {
	infoPtr->errorMsg("Error in SigmaOniaSetup::initStates: particle "
			  + state.str() + " in mvec " + cat + ":states(" 
			  + wave + ")", "is not a " + wave + " state");
	valid = false;
      }
    } else valid = false;
    jnums.push_back(j);
  }

}

//--------------------------------------------------------------------------

// Initialise and check a group of PVec settings.

void SigmaOniaSetup::initSettings(string wave, unsigned int size,
  const vector &names, vector< vector > &pvecs, 
  bool &valid) {

  for (unsigned int i = 0; i < names.size(); ++i) {
    pvecs.push_back(settingsPtr->pvec(names[i]));
    if (pvecs.back().size() != size) {
      infoPtr->errorMsg("Error in SigmaOniaSetup::initSettings: mvec " + cat
			+ ":states(" + wave + ")", "is not the same size as"
			" pvec " + names[i]);
      valid = false;
    }
  }

}

//--------------------------------------------------------------------------

// Initialise and check a group of FVec settings.

void SigmaOniaSetup::initSettings(string wave, unsigned int size,
  const vector &names, vector< vector > &fvecs, 
  bool &valid) {

  for (unsigned int i = 0; i < names.size(); ++i) {
    fvecs.push_back(settingsPtr->fvec(names[i]));
    if (fvecs.back().size() != size) {
      infoPtr->errorMsg("Error in SigmaOniaSetup::initSettings: mvec " + cat
			+ ":states(" + wave + ")", "is not the same size as"
			" fvec " + names[i]);
      valid = false;
    }
  }

}

//==========================================================================

// Sigma2gg2QQbar3S11g class.
// Cross section g g -> QQbar[3S1(1)] g (Q = c or b).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2QQbar3S11g::initProc() {

  // Process name.
  nameSave = "g g -> " 
    + string((codeSave - codeSave%100)/100 == 4 ? "ccbar" : "bbbar") 
    + "(3S1)[3S1(1)] g";

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2gg2QQbar3S11g::sigmaKin() {

  // Calculate kinematics dependence.
  double stH = sH + tH;
  double tuH = tH + uH;
  double usH = uH + sH;
  double sig = (10. * M_PI / 81.) * m3 * ( pow2(sH * tuH)
    + pow2(tH * usH) + pow2(uH * stH) ) / pow2( stH * tuH * usH );

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2QQbar3S11g::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idHad, 21);

  // Two orientations of colour flow.
  setColAcol( 1, 2, 2, 3, 0, 0, 1, 3);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2gg2QQbar3PJ1g class.
// Cross section g g -> QQbar[3PJ(1)] g (Q = c or b, J = 0, 1 or 2).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2QQbar3PJ1g::initProc() {

  // Process name.
  if (jSave >= 0 && jSave <= 2)
    nameSave = namePrefix() + " -> " + nameMidfix() + "(3PJ)[3PJ(1)] " 
      + namePostfix();
  else
    nameSave = "illegal process";

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2gg2QQbar3PJ1g::sigmaKin() {

  // Useful derived kinematics quantities.
  double pRat  = (sH * uH + uH * tH + tH * sH)/ sH2;
  double qRat  = tH * uH / sH2;
  double rRat  = s3 / sH;
  double pRat2 = pRat * pRat;
  double pRat3 = pRat2 * pRat;
  double pRat4 = pRat3 * pRat;
  double qRat2 = qRat * qRat;
  double qRat3 = qRat2 * qRat;
  double qRat4 = qRat3 * qRat;
  double rRat2 = rRat * rRat;
  double rRat3 = rRat2 * rRat;
  double rRat4 = rRat3 * rRat;

  // Calculate kinematics dependence.
  double sig = 0.;
  if (jSave == 0) {
    sig = (8. * M_PI / (9. * m3 * sH))
      * ( 9. * rRat2 * pRat4 * (rRat4 - 2. * rRat2 * pRat + pRat2)
      - 6. * rRat * pRat3 * qRat * (2. * rRat4 - 5. * rRat2 * pRat
      + pRat2) - pRat2 * qRat2 * (rRat4 + 2. * rRat2 * pRat - pRat2)
      + 2. * rRat * pRat * qRat3 * (rRat2 - pRat) + 6. * rRat2 * qRat4)
      / (qRat * pow4(qRat - rRat * pRat));
  } else if (jSave == 1) {
    sig =  (8. * M_PI / (3.* m3 * sH)) * pRat2
      * (rRat * pRat2 * (rRat2 - 4. * pRat)
      + 2. * qRat * (-rRat4 + 5. * rRat2 * pRat + pRat2)
      - 15. * rRat * qRat2) / pow4(qRat - rRat * pRat);
  } else if (jSave == 2) {
    sig = (8. * M_PI / (9. * m3 * sH))
      * (12. * rRat2 * pRat4 * (rRat4 - 2. * rRat2 * pRat + pRat2)
      - 3. * rRat * pRat3 * qRat * (8. * rRat4 - rRat2 * pRat + 4. * pRat2)
      + 2. * pRat2 * qRat2 * (-7. * rRat4 + 43. * rRat2 * pRat + pRat2)
      + rRat * pRat * qRat3 * (16. * rRat2 - 61. * pRat)
      + 12. * rRat2 * qRat4) / (qRat * pow4(qRat-rRat * pRat));
  }

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2QQbar3PJ1g::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idHad, 21);

  // Two orientations of colour flow.
  setColAcol( 1, 2, 2, 3, 0, 0, 1, 3);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2qg2QQbar3PJ1q class.
// Cross section q g -> QQbar[3PJ(1)] q (Q = c or b, J = 0, 1 or 2).

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2qg2QQbar3PJ1q::sigmaKin() {

  // Calculate kinematics dependence.
  double usH = uH + sH;
  double sig = 0.;
  if (jSave == 0) {
    sig = - (16. * M_PI / 81.) * pow2(tH - 3. * s3) * (sH2 + uH2)
      / (m3 * tH * pow4(usH));
  } else if (jSave == 1) {
    sig = - (32. * M_PI / 27.) * (4. * s3 * sH * uH + tH * (sH2 + uH2))
      / (m3 * pow4(usH));
  } else if (jSave == 2) {
    sig = - (32. *M_PI / 81.) * ( (6. * s3*s3 + tH2) * pow2(usH)
      - 2. * sH * uH * (tH2 + 6. * s3 * usH)) / (m3 * tH * pow4(usH));
  }

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2QQbar3PJ1q::setIdColAcol() {

  // Flavours are trivial.
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, idHad, idq);

  // tH defined between q_in and q_out: must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2QQbar3PJ1g class.
// Cross section q qbar -> QQbar[3PJ(1)] g (Q = c or b, J = 0, 1 or 2).

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2qqbar2QQbar3PJ1g::sigmaKin() {

  // Calculate kinematics dependence.
  double tuH = tH + uH;
  double sig = 0.;
  if (jSave == 0) {
    sig =(128. * M_PI / 243.) * pow2(sH - 3. * s3) * (tH2 + uH2)
      / (m3 * sH * pow4(tuH));
  } else if (jSave == 1) {
    sig = (256. * M_PI / 81.) * (4. * s3 * tH * uH + sH * (tH2 + uH2))
      / (m3 * pow4(tuH));
  } else if (jSave == 2) {
    sig = (256. * M_PI / 243.) * ( (6. * s3*s3 + sH2) * pow2(tuH)
      - 2. * tH * uH * (sH2 + 6. * s3 * tuH) )/ (m3 * sH * pow4(tuH));
  }

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2QQbar3PJ1g::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idHad, 21);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 0, 0, 1, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2QQbar3DJ1g class.
// Cross section g g -> QQbar[3DJ(1)] g (Q = c or b).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2QQbar3DJ1g::initProc() {

  // Process name.
  if (jSave >= 1 && jSave <= 3)
    nameSave = namePrefix() + " -> " + nameMidfix() + "(3DJ)[3DJ(1)] " 
      + namePostfix();
  else
    nameSave = "illegal process";
  
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2gg2QQbar3DJ1g::sigmaKin() {

  // Calculate kinematics dependence.
  double m2V[12], sHV[12], mpsV[8], mmsV[6], mmtV[6], sptV[6];
  m2V[0]  = 1;
  sHV[0]  = 1;
  mmtV[0] = 1;
  mpsV[0] = 1;
  mmsV[0] = 1;
  sptV[0] = 1;
  for (int i = 1; i < 12; ++i) {
    m2V[i] = m2V[i - 1] * s3;
    sHV[i] = sHV[i - 1] * sH;
    if (i < 8) {
      mpsV[i] = mpsV[i - 1] * (s3 + sH);
      if (i < 6) {
	mmsV[i] = mmsV[i - 1] * (s3 - sH);
	mmtV[i] = mmtV[i - 1] * (s3 - tH);
	sptV[i] = sptV[i - 1] * (sH + tH);
      }
    }
  }
  double fac = (pow3(alpS)*pow2(M_PI));
  double sig = 0;
  if (jSave == 1) {
    fac *= 16. / 81.;
    sig  = -25/(sqrt(m2V[1])*mmsV[5]) + (49*sqrt(m2V[3]))/(mmsV[5]*sHV[2]) 
      + (48*sqrt(m2V[3])*sHV[2]*(m2V[2] + sHV[2]))/(mmsV[3]*mmtV[5]*mpsV[3]) 
      - (67*sqrt(m2V[1]))/(mmsV[5]*sHV[1]) - (5*sHV[1])/(sqrt(m2V[3])*mmsV[5])
      + (4*sqrt(m2V[1])*(m2V[6] + 97*m2V[4]*sHV[2] - 48*m2V[3]*sHV[3]
      + 105*m2V[2]*sHV[4] + 33*sHV[6] -
      24*m2V[5]*sHV[1]))/(mmsV[4]*mmtV[4]*mpsV[4]) - (4*(m2V[9] +
      197*m2V[7]*sHV[2] - 50*m2V[6]*sHV[3] + 509*m2V[5]*sHV[4] -
      416*m2V[4]*sHV[5] + 237*m2V[3]*sHV[6] - 400*m2V[2]*sHV[7] -
      10*sHV[9] -
      164*m2V[8]*sHV[1]))/(sqrt(m2V[1])*mmsV[5]*mmtV[3]*mpsV[5]*sHV[1]) +
      (224*m2V[10] + 1825*m2V[8]*sHV[2] - 3980*m2V[7]*sHV[3] +
      3996*m2V[6]*sHV[4] - 4766*m2V[5]*sHV[5] + 10022*m2V[4]*sHV[6] -
      5212*m2V[3]*sHV[7] + 6124*m2V[2]*sHV[8] - 869*m2V[1]*sHV[9] +
      145*sHV[10] -
      597*m2V[9]*sHV[1])/(sqrt(m2V[1])*mmsV[5]*mmtV[1]*mpsV[7]*sHV[2]) +
      (102*m2V[11] + 331*m2V[9]*sHV[2] - 2021*m2V[8]*sHV[3] +
      3616*m2V[7]*sHV[4] - 968*m2V[6]*sHV[5] + 3386*m2V[5]*sHV[6] -
      6150*m2V[4]*sHV[7] + 666*m2V[3]*sHV[8] - 1134*m2V[2]*sHV[9] -
      5*m2V[1]*sHV[10] - 5*sHV[11] -
      506*m2V[10]*sHV[1])/(sqrt(m2V[3])*mmsV[5]*mmtV[2]*mpsV[6]*sHV[2]) +
      (48*sqrt(m2V[3])*sHV[2]*(m2V[2] + sHV[2]))/(mmsV[3]*mpsV[3]*sptV[5])
      + (4*sqrt(m2V[1])*(m2V[6] + 97*m2V[4]*sHV[2] - 48*m2V[3]*sHV[3] +
      105*m2V[2]*sHV[4] + 33*sHV[6] -
      24*m2V[5]*sHV[1]))/(mmsV[4]*mpsV[4]*sptV[4]) - (4*(m2V[9] +
      197*m2V[7]*sHV[2] - 50*m2V[6]*sHV[3] + 509*m2V[5]*sHV[4] -
      416*m2V[4]*sHV[5] + 237*m2V[3]*sHV[6] - 400*m2V[2]*sHV[7] -
      10*sHV[9] -
      164*m2V[8]*sHV[1]))/(sqrt(m2V[1])*mmsV[5]*mpsV[5]*sHV[1]*sptV[3]) +
      (102*m2V[11] + 331*m2V[9]*sHV[2] - 2021*m2V[8]*sHV[3] +
      3616*m2V[7]*sHV[4] - 968*m2V[6]*sHV[5] + 3386*m2V[5]*sHV[6] -
      6150*m2V[4]*sHV[7] + 666*m2V[3]*sHV[8] - 1134*m2V[2]*sHV[9] -
      5*m2V[1]*sHV[10] - 5*sHV[11] -
      506*m2V[10]*sHV[1])/(sqrt(m2V[3])*mmsV[5]*mpsV[6]*sHV[2]*sptV[2]) +
      (224*m2V[10] + 1825*m2V[8]*sHV[2] - 3980*m2V[7]*sHV[3] +
      3996*m2V[6]*sHV[4] - 4766*m2V[5]*sHV[5] + 10022*m2V[4]*sHV[6] -
      5212*m2V[3]*sHV[7] + 6124*m2V[2]*sHV[8] - 869*m2V[1]*sHV[9] +
      145*sHV[10] -
      597*m2V[9]*sHV[1])/(sqrt(m2V[1])*mmsV[5]*mpsV[7]*sHV[2]*sptV[1]); 
  } else if (jSave == 2) {
    fac *= 32. / 27.;
    sig  = 16/(sqrt(m2V[1])*mmsV[5]) +
      (2*sqrt(m2V[3]))/(mmsV[5]*sHV[2]) - (8*sqrt(m2V[3])*sHV[2]*(m2V[2] +
      sHV[2]))/(mmsV[3]*mmtV[5]*mpsV[3]) +
      (6*sqrt(m2V[1]))/(mmsV[5]*sHV[1]) -
      (16*sHV[1])/(sqrt(m2V[3])*mmsV[5]) - (2*sqrt(m2V[1])*(3*m2V[6] -
      25*m2V[4]*sHV[2] - 16*m2V[3]*sHV[3] - 33*m2V[2]*sHV[4] - 5*sHV[6] -
      8*m2V[5]*sHV[1]))/(mmsV[4]*mmtV[4]*mpsV[4]) + (2*(3*m2V[9] -
      41*m2V[7]*sHV[2] - 37*m2V[6]*sHV[3] - 149*m2V[5]*sHV[4] +
      55*m2V[4]*sHV[5] - 53*m2V[3]*sHV[6] + 167*m2V[2]*sHV[7] + 16*sHV[9]
      + 7*m2V[8]*sHV[1]))/(sqrt(m2V[1])*mmsV[5]*mmtV[3]*mpsV[5]*sHV[1]) +
      (2*(m2V[10] + 34*m2V[8]*sHV[2] - 198*m2V[7]*sHV[3] -
      140*m2V[6]*sHV[4] - 746*m2V[5]*sHV[5] + 226*m2V[4]*sHV[6] -
      486*m2V[3]*sHV[7] + 679*m2V[2]*sHV[8] - 50*m2V[1]*sHV[9] +
      112*sHV[10] -
      8*m2V[9]*sHV[1]))/(sqrt(m2V[1])*mmsV[5]*mmtV[1]*mpsV[7]*sHV[2]) +
      (m2V[11] + 19*m2V[9]*sHV[2] - m2V[8]*sHV[3] + 597*m2V[7]*sHV[4] +
      321*m2V[6]*sHV[5] + 797*m2V[5]*sHV[6] - 791*m2V[4]*sHV[7] +
      26*m2V[3]*sHV[8] - 468*m2V[2]*sHV[9] - 16*m2V[1]*sHV[10] -
      16*sHV[11] -
      21*m2V[10]*sHV[1])/(sqrt(m2V[3])*mmsV[5]*mmtV[2]*mpsV[6]*sHV[2]) -
      (8*sqrt(m2V[3])*sHV[2]*(m2V[2] + sHV[2]))/(mmsV[3]*mpsV[3]*sptV[5])
      - (2*sqrt(m2V[1])*(3*m2V[6] - 25*m2V[4]*sHV[2] - 16*m2V[3]*sHV[3] -
      33*m2V[2]*sHV[4] - 5*sHV[6] -
      8*m2V[5]*sHV[1]))/(mmsV[4]*mpsV[4]*sptV[4]) + (2*(3*m2V[9] -
      41*m2V[7]*sHV[2] - 37*m2V[6]*sHV[3] - 149*m2V[5]*sHV[4] +
      55*m2V[4]*sHV[5] - 53*m2V[3]*sHV[6] + 167*m2V[2]*sHV[7] + 16*sHV[9]
      + 7*m2V[8]*sHV[1]))/(sqrt(m2V[1])*mmsV[5]*mpsV[5]*sHV[1]*sptV[3]) +
      (m2V[11] + 19*m2V[9]*sHV[2] - m2V[8]*sHV[3] + 597*m2V[7]*sHV[4] +
      321*m2V[6]*sHV[5] + 797*m2V[5]*sHV[6] - 791*m2V[4]*sHV[7] +
      26*m2V[3]*sHV[8] - 468*m2V[2]*sHV[9] - 16*m2V[1]*sHV[10] -
      16*sHV[11] -
      21*m2V[10]*sHV[1])/(sqrt(m2V[3])*mmsV[5]*mpsV[6]*sHV[2]*sptV[2]) +
      (2*(m2V[10] + 34*m2V[8]*sHV[2] - 198*m2V[7]*sHV[3] -
      140*m2V[6]*sHV[4] - 746*m2V[5]*sHV[5] + 226*m2V[4]*sHV[6] -
      486*m2V[3]*sHV[7] + 679*m2V[2]*sHV[8] - 50*m2V[1]*sHV[9] +
      112*sHV[10] -
      8*m2V[9]*sHV[1]))/(sqrt(m2V[1])*mmsV[5]*mpsV[7]*sHV[2]*sptV[1]); 
  } else if (jSave == 3) {
    fac *= 256. / 189.;
    sig  = 5/(sqrt(m2V[1])*mmsV[5]) + sqrt(m2V[3])/(mmsV[5]*sHV[2]) +
      (2*sqrt(m2V[3])*sHV[2]*(m2V[2] + sHV[2]))/(mmsV[3]*mmtV[5]*mpsV[3])
      - (3*sqrt(m2V[1]))/(mmsV[5]*sHV[1]) -
      (5*sHV[1])/(sqrt(m2V[3])*mmsV[5]) + (sqrt(m2V[1])*(6*m2V[6] +
      67*m2V[4]*sHV[2] - 8*m2V[3]*sHV[3] + 45*m2V[2]*sHV[4] + 8*sHV[6] -
      4*m2V[5]*sHV[1]))/(mmsV[4]*mmtV[4]*mpsV[4]) + (-6*m2V[9] -
      152*m2V[7]*sHV[2] + 80*m2V[6]*sHV[3] - 269*m2V[5]*sHV[4] +
      211*m2V[4]*sHV[5] - 77*m2V[3]*sHV[6] + 155*m2V[2]*sHV[7] + 10*sHV[9]
      + 64*m2V[8]*sHV[1])/(sqrt(m2V[1])*mmsV[5]*mmtV[3]*mpsV[5]*sHV[1]) +
      (16*m2V[10] + 295*m2V[8]*sHV[2] - 555*m2V[7]*sHV[3] +
      769*m2V[6]*sHV[4] - 1079*m2V[5]*sHV[5] + 913*m2V[4]*sHV[6] -
      603*m2V[3]*sHV[7] + 601*m2V[2]*sHV[8] - 56*m2V[1]*sHV[9] +
      70*sHV[10] -
      83*m2V[9]*sHV[1])/(sqrt(m2V[1])*mmsV[5]*mmtV[1]*mpsV[7]*sHV[2]) +
      (8*m2V[11] + 104*m2V[9]*sHV[2] - 284*m2V[8]*sHV[3] +
      549*m2V[7]*sHV[4] - 282*m2V[6]*sHV[5] + 514*m2V[5]*sHV[6] -
      520*m2V[4]*sHV[7] + 34*m2V[3]*sHV[8] - 171*m2V[2]*sHV[9] -
      5*m2V[1]*sHV[10] - 5*sHV[11] -
      54*m2V[10]*sHV[1])/(sqrt(m2V[3])*mmsV[5]*mmtV[2]*mpsV[6]*sHV[2]) +
      (2*sqrt(m2V[3])*sHV[2]*(m2V[2] + sHV[2]))/(mmsV[3]*mpsV[3]*sptV[5])
      + (sqrt(m2V[1])*(6*m2V[6] + 67*m2V[4]*sHV[2] - 8*m2V[3]*sHV[3] +
      45*m2V[2]*sHV[4] + 8*sHV[6] -
      4*m2V[5]*sHV[1]))/(mmsV[4]*mpsV[4]*sptV[4]) + (-6*m2V[9] -
      152*m2V[7]*sHV[2] + 80*m2V[6]*sHV[3] - 269*m2V[5]*sHV[4] +
      211*m2V[4]*sHV[5] - 77*m2V[3]*sHV[6] + 155*m2V[2]*sHV[7] + 10*sHV[9]
      + 64*m2V[8]*sHV[1])/(sqrt(m2V[1])*mmsV[5]*mpsV[5]*sHV[1]*sptV[3]) +
      (8*m2V[11] + 104*m2V[9]*sHV[2] - 284*m2V[8]*sHV[3] +
      549*m2V[7]*sHV[4] - 282*m2V[6]*sHV[5] + 514*m2V[5]*sHV[6] -
      520*m2V[4]*sHV[7] + 34*m2V[3]*sHV[8] - 171*m2V[2]*sHV[9] -
      5*m2V[1]*sHV[10] - 5*sHV[11] -
      54*m2V[10]*sHV[1])/(sqrt(m2V[3])*mmsV[5]*mpsV[6]*sHV[2]*sptV[2]) +
      (16*m2V[10] + 295*m2V[8]*sHV[2] - 555*m2V[7]*sHV[3] +
      769*m2V[6]*sHV[4] - 1079*m2V[5]*sHV[5] + 913*m2V[4]*sHV[6] -
      603*m2V[3]*sHV[7] + 601*m2V[2]*sHV[8] - 56*m2V[1]*sHV[9] +
      70*sHV[10] -
      83*m2V[9]*sHV[1])/(sqrt(m2V[1])*mmsV[5]*mpsV[7]*sHV[2]*sptV[1]); 
  }

  // Answer.
  sigma = ((2.*jSave + 1.) / 3.) * oniumME * fac * sig;

}

//==========================================================================

// Sigma2gg2QQbarX8g class.
// Cross section g g -> QQbar[X(8)] g (Q = c or b, X = 3S1, 1S0 or 3PJ).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2QQbarX8g::initProc() {

  // Return for illegal process.
  if (stateSave < 0 || stateSave > 2) {
    idHad = 0;
    nameSave = "illegal process";
    return;
  }
  
  // Determine quark composition and quantum numbers.
  int mod1(10), mod2(1);
  vector digits;
  while (digits.size() < 7) {
    digits.push_back((idHad%mod1 - idHad%mod2) / mod2);
    mod1 *= 10; 
    mod2 *= 10;
  }
  int s, l, j((digits[0] - 1)/2);
  if (j != 0) {
    if      (digits[4] == 0) {l = j - 1; s = 1;}
    else if (digits[4] == 1) {l = j;     s = 0;}
    else if (digits[4] == 2) {l = j;     s = 1;}
    else                     {l = j + 1; s = 1;}
  } else {
    if      (digits[4] == 0) {l = 0;  s = 0;}
    else                     {l = 1;  s = 1;}
  }
  
  // Set the process name.
  stringstream sName, jName;
  string lName, stateName;
  sName << 2*s + 1;
  if (l == 0) jName << j;
  else jName << "J";
  if (l == 0) lName = "S";
  else if (l == 1) lName = "P";
  else if (l == 2) lName = "D";
  if (stateSave == 0) stateName = "[3S1(8)]";
  else if (stateSave == 1) stateName = "[1S0(8)]";
  else if (stateSave == 2) stateName = "[3PJ(8)]";
  nameSave = namePrefix() + " -> " + (digits[1] == 4 ? "ccbar" : "bbbar") 
    + "(" + sName.str() + lName + jName.str() + ")" + stateName 
    + " " + namePostfix();

  // Ensure the dummy particle for the colour-octet state is valid.
  int idOct = 9900000 + digits[1]*10000 + stateSave*1000 + digits[5]*100
    + digits[4]*10 + digits[0];
  double m0     = particleDataPtr->m0(idHad) + abs(mSplit);
  double mWidth = 0.0;
  if (!particleDataPtr->isParticle(idOct)) {
    string nameOct    = particleDataPtr->name(idHad) + stateName;
    int    spinType   = stateSave == 1 ? 1 : 3;
    int    chargeType = particleDataPtr->chargeType(idHad);
    int    colType    = 2;
    particleDataPtr->addParticle(idOct, nameOct, spinType, chargeType, colType,
				 m0, mWidth, m0, m0);
    ParticleDataEntry* entry = particleDataPtr->particleDataEntryPtr(idOct);
    if (entry) entry->addChannel(1, 1.0, 0, idHad, 21);
  } else if (mSplit > 0 && abs(particleDataPtr->m0(idOct) - m0) > 1E-15) {
    particleDataPtr->m0(idOct, m0);
    particleDataPtr->mWidth(idOct, mWidth);
    particleDataPtr->mMin(idOct, m0);
    particleDataPtr->mMax(idOct, m0);
  } else if (particleDataPtr->m0(idOct) <= particleDataPtr->m0(idHad)) {
    infoPtr->errorMsg("Warning in Sigma2gg2QQbarX8g::initProc: mass of "
		      "intermediate colour-octet state"
		      "increased to be greater than the physical state");
    particleDataPtr->m0(idOct, m0);
    particleDataPtr->mWidth(idOct, mWidth);
    particleDataPtr->mMin(idOct, m0);
    particleDataPtr->mMax(idOct, m0);
  }
  idHad = idOct;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2gg2QQbarX8g::sigmaKin() {

  // Calculate kinematics dependence.
  double stH = sH + tH;
  double tuH = tH + uH;
  double usH = uH + sH;
  double sig = 0.;
  if (stateSave == 0) {
    sig = (M_PI / 72.) * m3 * ( 27. * (pow2(stH) + pow2(tuH)
      + pow2(usH)) / (s3*s3) - 16. ) * ( pow2(sH * tuH)
      + pow2(tH * usH) + pow2(uH * stH) ) / pow2( stH * tuH * usH );
  } else if (stateSave == 1) {
    sig = (5. * M_PI / 16.) * m3 * ( pow2(uH / (tuH * usH))
      + pow2(sH / (stH * usH)) + pow2(tH / (stH * tuH)) ) * ( 12.
      + (pow4(stH) + pow4(tuH) + pow4(usH)) / (s3 * sH * tH * uH) );
  } else if (stateSave == 2) {
    double sH3 = sH2 * sH;
    double sH4 = sH3 * sH;
    double sH5 = sH4 * sH;
    double sH6 = sH5 * sH;
    double sH7 = sH6 * sH;
    double sH8 = sH7 * sH;
    double tH3 = tH2 * tH;
    double tH4 = tH3 * tH;
    double tH5 = tH4 * tH;
    double tH6 = tH5 * tH;
    double tH7 = tH6 * tH;
    double tH8 = tH7 * tH;
    double ssttH = sH * sH + sH * tH + tH * tH;
    sig = 5. * M_PI * (3. * sH * tH * stH * pow4(ssttH)
      - s3 * pow2(ssttH) * (7. * sH6 + 36. * sH5 * tH + 45. * sH4 * tH2
        + 28. * sH3 * tH3 + 45. * sH2 * tH4 + 36. * sH * tH5 + 7. * tH6)
      + pow2(s3) * stH * (35. *sH8 + 169. * sH7 * tH + 299. * sH6 * tH2
        + 401. * sH5 * tH3 + 418. * sH4 * tH4 + 401. * sH3 * tH5
        + 299. * sH2 * tH6 + 169. * sH * tH7 + 35. * tH8)
      - pow3(s3) * (84. *sH8+432. *sH7*tH+905. *sH6*tH2
        + 1287. * sH5 * tH3 + 1436. * sH4 * tH4 +1287. * sH3 * tH5
        + 905. * sH2 * tH6 + 432. * sH * tH7 + 84. * tH8)
      + pow4(s3) * stH * (126. * sH6 + 451. * sH5 * tH +677. * sH4 * tH2
        + 836. * sH3 * tH3 + 677. * sH2 * tH4 + 451. * sH * tH5
        + 126. * tH6)
      - pow5(s3) * 3. * (42. * sH6 + 171. * sH5 * tH + 304. * sH4 * tH2
        + 362. * sH3 * tH3 + 304. * sH2 * tH4 + 171. * sH * tH5
        + 42. * tH6)
      + pow3(s3 * s3) * 2. * stH * (42. * sH4 + 106. * sH3 * tH
        + 119. * sH2 * tH2 + 106. * sH * tH3 + 42. * tH4)
      - pow4(s3) * pow3(s3) * (35. * sH4 + 99. * sH3 * tH
        + 120. * sH2 * tH2 + 99.  * sH * tH3 + 35.  * tH4)
      + pow4(s3 * s3) * 7. * stH * ssttH)
      / (sH * tH * uH * s3 * m3 * pow3(stH * tuH * usH));
  }

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2QQbarX8g::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idHad, 21);

  // Split total contribution into different colour flows just like in
  // g g -> g g (with kinematics recalculated for massless partons).
  double sHr    = - (tH + uH);
  double sH2r   = sHr * sHr;
  double sigTS  = tH2/sH2r + 2.*tH/sHr + 3. + 2.*sHr/tH + sH2r/tH2;
  double sigUS  = uH2/sH2r + 2.*uH/sHr + 3. + 2.*sHr/uH + sH2r/uH2;
  double sigTU  = tH2/uH2 + 2.*tH/uH + 3. + 2.*uH/tH + uH2/tH2;
  double sigSum = sigTS + sigUS + sigTU;

  // Three colour flow topologies, each with two orientations.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 4, 4, 3);
  else if (sigRand < sigTS + sigUS)
                       setColAcol( 1, 2, 3, 1, 3, 4, 4, 2);
  else                 setColAcol( 1, 2, 3, 4, 1, 4, 3, 2);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2qg2QQbarX8q class.
// Cross section q g -> QQbar[X(8)] q (Q = c or b, X = 3S1, 1S0 or 3PJ).

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2qg2QQbarX8q::sigmaKin() {

  // Calculate kinematics dependence.
  double stH  = sH + tH;
  double tuH  = tH + uH;
  double usH  = uH + sH;
  double stH2 = stH * stH;
  double tuH2 = tuH * tuH;
  double usH2 = usH * usH;
  double sig  = 0.;
  if (stateSave == 0) {
    sig = - (M_PI / 27.)* (4. * (sH2 + uH2) - sH * uH) * (stH2 +tuH2)
      / (s3 * m3 * sH * uH * usH2);
  } else if (stateSave == 1) {
    sig = - (5. * M_PI / 18.) * (sH2 + uH2) / (m3 * tH * usH2);
  } else if (stateSave == 2) {
    sig = - (10. * M_PI / 9.) * ( (7. * usH + 8. * tH) * (sH2 + uH2)
      + 4. * tH * (2. * pow2(s3) - stH2 - tuH2) )
      / (s3 * m3 * tH * usH2 * usH);
  }

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2QQbarX8q::setIdColAcol() {

  // Flavours are trivial.
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, idHad, idq);

  // tH defined between q_in and q_out: must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Split total contribution into different colour flows just like in
  // q g -> q g (with kinematics recalculated for massless partons).
  double sHr    = - (tH + uH);
  double sH2r   = sHr * sHr;
  double sigTS  = uH2/tH2 - (4./9.) * uH/sHr;
  double sigTU  = sH2r/tH2 - (4./9.) * sHr/uH;
  double sigSum = sigTS + sigTU;

  // Two colour flow topologies. Swap if first is gluon, or when antiquark.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 0, 2, 1, 2, 3, 3, 0);
  else                 setColAcol( 1, 0, 2, 3, 1, 3, 2, 0);
  if (id1 == 21) swapCol12();
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2QQbarX8g class.
// Cross section q qbar -> QQbar[X(8)] g (Q = c or b, X = 3S1, 1S0 or 3PJ).

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat); no explicit flavour dependence.

void Sigma2qqbar2QQbarX8g::sigmaKin() {

  // Calculate kinematics dependence.
  double stH  = sH + tH;
  double tuH  = tH + uH;
  double usH  = uH + sH;
  double stH2 = stH * stH;
  double tuH2 = tuH * tuH;
  double usH2 = usH * usH;
  double sig  = 0.;
  if (stateSave == 0) {
    sig = (8. * M_PI / 81.) * (4. * (tH2 + uH2) - tH * uH)
      * (stH2 + usH2) / (s3 * m3 * tH * uH * tuH2);
  } else if (stateSave == 1) {
    sig = (20. * M_PI / 27.) * (tH2 + uH2) / (m3 * sH * tuH2);
  } else if (stateSave == 2) {
    sig = (80. * M_PI / 27.) * ( (7. * tuH + 8. * sH) * (tH2 + uH2)
      + 4. * sH * (2. * pow2(s3) - stH2 -usH2) )
      / (s3 * m3 * sH * tuH2 * tuH);
  }

  // Answer.
  sigma = (M_PI/sH2) * pow3(alpS) * oniumME * sig;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2QQbarX8g::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idHad, 21);

  // Split total contribution into different colour flows just like in
  // q qbar -> g g (with kinematics recalculated for massless partons).
  double sHr    = - (tH + uH);
  double sH2r   = sHr * sHr;
  double sigTS  = (4. / 9.) * uH / tH - uH2 / sH2r;
  double sigUS  = (4. / 9.) * tH / uH - tH2 / sH2r;
  double sigSum = sigTS + sigUS;

  // Two colour flow topologies. Swap if first is antiquark.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 0, 0, 2, 1, 3, 3, 2);
  else                 setColAcol( 1, 0, 0, 2, 3, 2, 1, 3);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/TauDecays.cc0000644000175000017500000006237012357054765015345 0ustar  sunsun// TauDecays.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Philip Ilten, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the TauDecays class.

#include "Pythia8/TauDecays.h"

namespace Pythia8 {

//==========================================================================

// The TauDecays class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.
  
// Number of times to try a decay channel.
const int    TauDecays::NTRYCHANNEL = 10;
  
// Number of times to try a decay sampling.
  const int    TauDecays::NTRYDECAY   = 10000;
  //const int    TauDecays::NTRYDECAY   = 100000;

// These numbers are hardwired empirical parameters,
// intended to speed up the M-generator.
const double TauDecays::WTCORRECTION[11] = { 1., 1., 1.,
  2., 5., 15., 60., 250., 1250., 7000., 50000. };

//--------------------------------------------------------------------------

// Initialize the TauDecays class with the necessary pointers to info,
// particle data, random numbers, and Standard Model couplings.
// Additionally, the necessary matrix elements are initialized with the
// Standard Model couplings, and particle data pointers.

void TauDecays::init(Info* infoPtrIn, Settings* settingsPtrIn,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
  Couplings* couplingsPtrIn) {

  // Set the pointers.
  infoPtr         = infoPtrIn;
  settingsPtr     = settingsPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  couplingsPtr    = couplingsPtrIn;

  // Initialize the hard matrix elements.
  hmeTwoFermions2W2TwoFermions   .initPointers(particleDataPtr, couplingsPtr);
  hmeTwoFermions2Z2TwoFermions   .initPointers(particleDataPtr, couplingsPtr);
  hmeTwoFermions2Gamma2TwoFermions .initPointers(particleDataPtr,
                                                 couplingsPtr);
  hmeTwoFermions2GammaZ2TwoFermions.initPointers(particleDataPtr,
                                                 couplingsPtr);
  hmeZ2TwoFermions               .initPointers(particleDataPtr, couplingsPtr);
  hmeHiggsEven2TwoFermions       .initPointers(particleDataPtr, couplingsPtr);
  hmeHiggsOdd2TwoFermions        .initPointers(particleDataPtr, couplingsPtr);
  hmeHiggsCharged2TwoFermions    .initPointers(particleDataPtr, couplingsPtr);
  hmeUnpolarized                 .initPointers(particleDataPtr, couplingsPtr);

  // Initialize the tau decay matrix elements.
  hmeTau2Meson                   .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2TwoLeptons              .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2TwoMesonsViaVector      .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2TwoMesonsViaVectorScalar.initPointers(particleDataPtr, couplingsPtr);
  hmeTau2ThreePions              .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2ThreeMesonsWithKaons    .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2ThreeMesonsGeneric      .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2TwoPionsGamma           .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2FourPions               .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2FivePions               .initPointers(particleDataPtr, couplingsPtr);
  hmeTau2PhaseSpace              .initPointers(particleDataPtr, couplingsPtr);

  // User selected tau decay mode.
  tauModeSave   = settingsPtr->mode("ParticleDecays:sophisticatedTau");
    
  // User selected tau decay mother.
  tauMotherSave = settingsPtr->mode("ParticleDecays:tauMother");

  // User selected tau polarization.
  polSave       = settingsPtr->parm("ParticleDecays:tauPolarization");

  // Parameters to determine if correlated partner should decay.
  limitTau0     = settingsPtr->flag("ParticleDecays:limitTau0");
  tau0Max       = settingsPtr->parm("ParticleDecays:tau0Max");
  limitTau      = settingsPtr->flag("ParticleDecays:limitTau");
  tauMax        = settingsPtr->parm("ParticleDecays:tauMax");
  limitRadius   = settingsPtr->flag("ParticleDecays:limitRadius");
  rMax          = settingsPtr->parm("ParticleDecays:rMax");
  limitCylinder = settingsPtr->flag("ParticleDecays:limitCylinder");
  xyMax         = settingsPtr->parm("ParticleDecays:xyMax");
  zMax          = settingsPtr->parm("ParticleDecays:zMax");
  limitDecay    = limitTau0 || limitTau || limitRadius || limitCylinder;
}

//--------------------------------------------------------------------------

// Main method of the TauDecays class. Pass the index of the tau requested
// to be decayed along with the event record in which the tau exists. The
// tau is then decayed with proper spin correlations as well any partner.
// The children of the decays are written to the event record, and if the
// decays were succesful, a return value of true is supplied.

bool TauDecays::decay(int idxOut1, Event& event) {

  // User selected tau decay mode, mother, and polarization.
  tauMode      = tauModeSave;
  tauMother    = tauMotherSave;
  polarization = polSave;

  // Set the first outgoing particle of the hard process.
  out1 = HelicityParticle(event[idxOut1]);
  out1.idx = idxOut1;

  // Begin PS April 2012.
  // Check if this tau already has helicity information (eg from LHEF).
  bool   hasHelicity = false;
  double helicityNow = 0.;
  if (tauMode >= 1 && abs(out1.pol()) <= 1.001) {
    hasHelicity = true;
    helicityNow = out1.pol();
  }
  // End PS April 2012.
  
  // Find the mediator of the hard process. Create temporary copy.
  int idxMediator  = out1.mother1();
  int idxFirstOut1 = idxOut1;
  while(idxMediator > 0 && event[idxMediator].id() == out1.id()) {
    idxFirstOut1   = idxMediator;
    idxMediator    = event[idxMediator].mother1();
  }
  Particle medTmp  = event[idxMediator];

  // Find and set up the incoming particles of the hard process.
  int idxIn1 = medTmp.mother1();
  int idxIn2 = medTmp.mother2();
  while(idxIn1 > 0 && event[idxIn1].id() == medTmp.id()) {
    idxIn1   = event[idxIn1].mother1();
    idxIn2   = event[idxIn2].mother2();
  }
  in1           = HelicityParticle(event[idxIn1]);
  in1.idx       = idxIn1;
  in1.direction = -1;
  in2           = HelicityParticle(event[idxIn2]);
  in2.idx       = idxIn2;
  in2.direction = -1;
  
  // Find and set up the second outgoing particle of the hard process.
  int idxOut2 = (medTmp.daughter1() == idxFirstOut1)
    ? medTmp.daughter2() : medTmp.daughter1();
  while (idxOut2 > 0 && event[idxOut2].daughter1() != 0
    && event[event[idxOut2].daughter1()].id() == event[idxOut2].id()) {
    idxOut2 = event[idxOut2].daughter1();
  }
  out2     = HelicityParticle(event[idxOut2]);
  out2.idx = idxOut2;

  // Set up the mediator. Special case for dipole shower,
  // where a massless photon can branch to a tau pair.
  if (medTmp.id() == 22 && out2.idAbs() == 15
    && medTmp.m() < out1.m() + out2.m()) {
    Vec4 pTmp        = out1.p() + out2.p();
    medTmp.p( pTmp);
    medTmp.m( pTmp.mCalc() );
  }
  mediator           = HelicityParticle(medTmp);
  mediator.idx       = idxMediator;
  mediator.direction = -1;

  // Set the particles vector.
  particles.clear();
  particles.push_back(in1);
  particles.push_back(in2);
  particles.push_back(out1);
  particles.push_back(out2);
  
  // Set the hard matrix element.
  // Polarized tau (decayed one by one).
  if (hasHelicity) {
    correlated = false;

  // Produced from a W.
  } else if (abs(mediator.id()) == 24) {
    // Produced from quarks: s-channel.
    if (abs(in1.id()) <= 18 && abs(in2.id()) <= 18)
      hardME = hmeTwoFermions2W2TwoFermions.initChannel(particles);
    // Produced from quarks: t-channel.
    else if (abs(in1.id()) <= 18 || abs(in2.id()) <= 18) {
      bool fermion = (abs(in1.id()) <= 18) ? 0 : 1;
      particles[!fermion]
        = (event[particles[fermion].daughter1()].id() == mediator.id())
        ? HelicityParticle(event[particles[fermion].daughter2()])
        : HelicityParticle(event[particles[fermion].daughter1()]);
      particles[!fermion].direction = 1;
      if (abs(particles[!fermion].id()) <= 18)
        hardME = hmeTwoFermions2W2TwoFermions.initChannel(particles);
      else {
        infoPtr->errorMsg("Warning in TauDecays::decay: unknown "
          "tau production, assuming unpolarized and uncorrelated");
        hardME = hmeUnpolarized.initChannel(particles);
      }
    // Unknown W production: assume negative helicity.
    } else if (tauMode == 1) {
      tauMode      = 3;
      polarization = -1;
    }
    correlated = false;

  // Produced from a photon.
  } else if (abs(mediator.id()) == 22 && abs(in1.id()) <= 18) {
    particles.push_back(mediator);
    hardME = hmeTwoFermions2Gamma2TwoFermions.initChannel(particles);
    correlated = true;

  // Produced from a photon/Z.
  } else if (abs(mediator.id()) == 23 && abs(in1.id()) <= 18) {
    particles.push_back(mediator);
    if (settingsPtr->mode("WeakZ0:gmZmode") == 0)
      hardME = hmeTwoFermions2GammaZ2TwoFermions.initChannel(particles);
    else if (settingsPtr->mode("WeakZ0:gmZmode") == 1)
      hardME = hmeTwoFermions2Gamma2TwoFermions.initChannel(particles);
    else if (settingsPtr->mode("WeakZ0:gmZmode") == 2)
      hardME = hmeTwoFermions2Z2TwoFermions.initChannel(particles);
    correlated = true;

  // Unkown Z production: assume unpolarized Z.
  } else if (abs(mediator.id()) == 23) {
    particles[1] = mediator;
    hardME = hmeZ2TwoFermions.initChannel(particles);
    correlated = true;

  // Produced from a CP even Higgs.
  } else if (abs(mediator.id()) == 25 || abs(mediator.id()) == 35) {
    hardME = hmeHiggsEven2TwoFermions.initChannel(particles);
    correlated = true;

  // Produced from a CP odd Higgs.
  } else if (abs(mediator.id()) == 36) {
    hardME = hmeHiggsOdd2TwoFermions.initChannel(particles);
    correlated = true;

  // Produced from a charged Higgs.
  } else if (abs(mediator.id()) == 37) {
    hardME = hmeHiggsCharged2TwoFermions.initChannel(particles);
    correlated = false;

  // Produced from a D or B hadron decay with a single tau.
  } else if ((abs(mediator.id()) == 411 || abs(mediator.id()) == 431
           || abs(mediator.id()) == 511 || abs(mediator.id()) == 521
           || abs(mediator.id()) == 531 || abs(mediator.id()) == 541
           || (abs(mediator.id()) > 5100 && abs(mediator.id()) < 5600) )
           && abs(out2.id()) == 16) {
    int idBmother = (mediator.id() > 0) ? -5 : 5;
    if (abs(mediator.id()) > 5100) idBmother = -idBmother;
    particles[0] = HelicityParticle(  idBmother, 0, 0, 0, 0, 0, 0, 0,
      0., 0., 0., 0., 0., 0., particleDataPtr);
    particles[1] = HelicityParticle( -idBmother, 0, 0, 0, 0, 0, 0, 0,
      0., 0., 0., 0., 0., 0., particleDataPtr);
    particles[0].idx = 0;
    particles[1].idx = 1;

    // D or B meson decays into neutrino + tau + meson.
    if (mediator.daughter1() + 2 == mediator.daughter2()) {
      particles[0].p(mediator.p());
      particles[1].direction = 1;
      particles[1].id(-particles[1].id());
      particles[1].p(particles[0].p() - particles[2].p() - particles[3].p());
    }

    // D or B meson decays into neutrino + tau.
    else {
      particles[0].p(mediator.p()/2);
      particles[1].p(mediator.p()/2);
    }
    hardME = hmeTwoFermions2W2TwoFermions.initChannel(particles);
    correlated = false;

  // Produced from a virtual photon with correlated taus.
  } else if (abs(out1.id()) == 15 && abs(out2.id()) == 15) {
    particles.push_back(mediator);
    particles[0] = HelicityParticle(-1, 0, 0, 0, 0, 0, 0, 0,
      mediator.p()/2, 0., 0., particleDataPtr);
    particles[1] = HelicityParticle(1, 0, 0, 0, 0, 0, 0, 0,
      mediator.p()/2, 0., 0., particleDataPtr);
    particles[0].direction = -1;
    particles[1].direction = -1;
    particles[0].idx = 0;
    particles[1].idx = 0;
    hardME = hmeTwoFermions2Gamma2TwoFermions.initChannel(particles);
    correlated = true;

  // Produced from an unknown process, assume unpolarized and uncorrelated.
  } else {
    if (tauMode <= 1)
    infoPtr->errorMsg("Warning in TauDecays::decay: unknown "
      "tau production, assuming unpolarized and uncorrelated");
    hardME = hmeUnpolarized.initChannel(particles);
    correlated = false;
  }

  // Check if correlated partner should decay.
  if (correlated) {
    // Check vertex is within limits.
    if (limitTau0 && out2.tau0() > tau0Max) correlated = false;
    else if (limitTau && out2.tau() > tauMax) correlated = false;
    else if (limitRadius && pow2(out2.xDec()) + pow2(out2.yDec())
      + pow2(out2.zDec()) > pow2(rMax)) correlated = false;
    else if (limitCylinder && (pow2(out2.xDec()) + pow2(out2.yDec())
      > pow2(xyMax) || abs(out2.zDec()) > zMax)) correlated = false;
    // Check partner can decay.
    else if (!out2.canDecay()) correlated = false;
    else if (!out2.mayDecay()) correlated = false;
    // Check partner is compatible with hard matrix element (only leptons).
    else if (out2.idAbs() < 11 || out2.idAbs() > 16) {
      infoPtr->errorMsg("Warning in TauDecays::decay: incompatible "
        "correlated partner in tau decay");
      correlated = false;
    }
    // Undecay correlated partner if already decayed.
    else if (!out2.isFinal()) event.undoDecay(out2.idx);
  }

  // Pick the first tau to decay.
  HelicityParticle* tau;
  int idx;
  if (correlated) idx = (rndmPtr->flat() < 0.5) ? 2 : 3;
  else idx = (abs(particles[2].id()) == 15) ? 2 : 3;
  tau = &particles[idx];

  // Calculate the density matrix and decay the tau.
  if ( (tauMode == 2 && abs(mediator.id()) == tauMother) || tauMode == 3 ) {
    tau->rho[0][0] = (tau->id() > 0)
      ? (1 - polarization) / 2 : (1 + polarization) / 2;
    tau->rho[1][1] = (tau->id() > 0)
      ? (1 + polarization) / 2 : (1 - polarization) / 2;
    correlated = false;
  }

  // Begin PS April 2012.
  // Else use tau helicity provided by event record (LHEF).
  else if (hasHelicity) {
    tau->rho[0][0] = (1. - helicityNow) / 2.;
    tau->rho[1][1] = (1. + helicityNow) / 2.;
  }
  // End PS April 2012.

  // Else compute density matrix according to matrix element.
  else
    hardME->calculateRho(idx, particles);
  vector children = createChildren(*tau);
  if (children.size() == 0) return false;

  // Decay the first tau.
  bool accepted = false;
  int  tries    = 0;
  while (!accepted) {
    isotropicDecay(children);
    double decayWeight    = decayME->decayWeight(children);
    double decayWeightMax = decayME->decayWeightMax(children);
    accepted = (rndmPtr->flat() < decayWeight / decayWeightMax);
    if (decayWeight > decayWeightMax)
      infoPtr->errorMsg("Warning in TauDecays::decay: maximum "
        "decay weight exceeded in tau decay");
    if (tries > NTRYDECAY) {
      infoPtr->errorMsg("Warning in TauDecays::decay: maximum "
        "number of decay attempts exceeded");
      break;
    }
    ++tries;
  }
  writeDecay(event,children);

  // If a correlated second tau exists, decay that tau as well.
  if (correlated) {
    idx = (idx == 2) ? 3 : 2;
    // Calculate the first tau decay matrix.
    decayME->calculateD(children);
    // Update the decay matrix for the tau.
    (*tau).D = children[0].D;
    // Switch the taus.
    tau = &particles[idx];
    // Calculate second tau's density matrix.
    hardME->calculateRho(idx, particles);

    // Decay the second tau.
    children.clear();
    children = createChildren(*tau);
    if (children.size() == 0) return false;
    accepted = false;
    tries    = 0;
    while (!accepted) {
      isotropicDecay(children);
      double decayWeight    = decayME->decayWeight(children);
      double decayWeightMax = decayME->decayWeightMax(children);
      accepted = (rndmPtr->flat() < decayWeight / decayWeightMax);
      if (decayWeight > decayWeightMax)
        infoPtr->errorMsg("Warning in TauDecays::decay: maximum "
          "decay weight exceeded in correlated tau decay");
      if (tries > NTRYDECAY) {
        infoPtr->errorMsg("Warning in TauDecays::decay: maximum "
          "number of decay attempts exceeded");
        break;
      }
      ++tries;
    }
    writeDecay(event,children);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Given a HelicityParticle parent, select the decay channel and return
// a vector of HelicityParticles containing the children, with the parent
// particle duplicated in the first entry of the vector.

vector TauDecays::createChildren(HelicityParticle parent) {

  // Initial values.
  int meMode = 0;
  vector children;

  // Set the parent as incoming.
  parent.direction = -1;

  // Setup decay data for the decaying particle.
  ParticleDataEntry decayData = parent.particleDataEntry();

  // Initialize the decay data.
  if (!decayData.preparePick(parent.id())) return children;

  // Try to pick a decay channel.
  bool decayed = false;
  int decayTries = 0;
  while (!decayed && decayTries < NTRYCHANNEL) {

    // Pick a decay channel.
    DecayChannel decayChannel = decayData.pickChannel();
    meMode = decayChannel.meMode();
    int decayMult = decayChannel.multiplicity();

    // Select children masses.
    bool allowed = false;
    int channelTries = 0;
    while (!allowed && channelTries < NTRYCHANNEL) {
      children.resize(0);
      children.push_back(parent);
      for (int i = 0; i < decayMult; ++i) {
        // Grab child ID.
        int childId = decayChannel.product(i);
        // Flip sign for anti-particle decay.
        if (parent.id() < 0 && particleDataPtr->hasAnti(childId))
          childId = -childId;
        // Grab child mass.
        double childMass = particleDataPtr->mSel(childId);
        // Push back the child into the children vector.
        children.push_back( HelicityParticle(childId, 91, parent.idx, 0, 0,
          0, 0, 0, 0., 0., 0., 0.,childMass, 0., particleDataPtr) );
      }
        
      // Check there is enough phase space for decay.
      if (decayMult > 1) {
        double massDiff = parent.m();
        for (int i = 0; i < decayMult; ++i) massDiff -= children[i].m();
        // For now we just check kinematically available.
        if (massDiff > 0) {
          allowed = true;
          decayed = true;
        }
      }

      // End pick a channel.
      ++channelTries;
    }
    ++decayTries;
  }

  // Swap the children ordering for muons.
  if (parent.idAbs() == 13 && children.size() == 4 && meMode == 22)
    swap(children[1], children[3]);

  // Set the decay matrix element.
  // Two body decays.
  if (children.size() == 3) {
    if (meMode == 1521)
      decayME = hmeTau2Meson.initChannel(children);
    else decayME = hmeTau2PhaseSpace.initChannel(children);
  }

  // Three body decays.
  else if (children.size() == 4) {
    // Leptonic decay.
    if (meMode == 1531 || (parent.idAbs() == 13 && meMode == 22))
      decayME = hmeTau2TwoLeptons.initChannel(children);
    // Two meson decay via vector meson.
    else if (meMode == 1532)
      decayME = hmeTau2TwoMesonsViaVector.initChannel(children);
    // Two meson decay via vector or scalar meson.
    else if (meMode == 1533)
      decayME = hmeTau2TwoMesonsViaVectorScalar.initChannel(children);
    // Flat phase space.
    else decayME = hmeTau2PhaseSpace.initChannel(children);
  }

  // Four body decays.
  else if (children.size() == 5) {
    // Three pion CLEO decay.
    if (meMode == 1541)
      decayME = hmeTau2ThreePions.initChannel(children);
    // Three meson decay with one or more kaons decay.
    else if (meMode == 1542)
      decayME = hmeTau2ThreeMesonsWithKaons.initChannel(children);
    // Generic three meson decay.
    else if (meMode == 1543)
      decayME = hmeTau2ThreeMesonsGeneric.initChannel(children);
    // Two pions and photon decay.
    else if (meMode == 1544)
      decayME = hmeTau2TwoPionsGamma.initChannel(children);
    // Flat phase space.
    else decayME = hmeTau2PhaseSpace.initChannel(children);
  }

  // Five body decays.
  else if (children.size() == 6) {
    // Four pion Novosibirsk current.
    if (meMode == 1551)
      decayME = hmeTau2FourPions.initChannel(children);
    // Flat phase space.
    else decayME = hmeTau2PhaseSpace.initChannel(children);
  }

  // Six body decays.
  else if (children.size() == 7) {
    // Four pion Novosibirsk current.
    if (meMode == 1561)
      decayME = hmeTau2FivePions.initChannel(children);
    // Flat phase space.
    else decayME = hmeTau2PhaseSpace.initChannel(children);
  }

  // Flat phase space.
  else decayME = hmeTau2PhaseSpace.initChannel(children);

  // Done.
  return children;
}

//--------------------------------------------------------------------------

// N-body decay using the M-generator algorithm described in
// "Monte Carlo Phase Space" by F. James in CERN 68-15, May 1968. Taken
// from ParticleDecays::mGenerator but modified to handle spin particles.
// Given a vector of HelicityParticles where the first particle is
// the mother, the remaining particles are decayed isotropically.

void TauDecays::isotropicDecay(vector& children) {

  // Mother and sum daughter masses.
  int decayMult = children.size() - 1;
  double m0      = children[0].m();
  double mSum    = children[1].m();
  for (int i = 2; i <= decayMult; ++i) mSum += children[i].m();
  double mDiff   = m0 - mSum;
    
  // Begin setup of intermediate invariant masses.
  vector mInv;
  for (int i = 0; i <= decayMult; ++i) mInv.push_back( children[i].m());
    
  // Calculate the maximum weight in the decay.
  double wtPS;
  double wtPSmax = 1. / WTCORRECTION[decayMult];
  double mMax    = mDiff + children[decayMult].m();
  double mMin    = 0.;
  for (int i = decayMult - 1; i > 0; --i) {
    mMax        += children[i].m();
    mMin        += children[i+1].m();
    double mNow  = children[i].m();
    wtPSmax     *= 0.5 * sqrtpos( (mMax - mMin - mNow) * (mMax + mMin + mNow)
                 * (mMax + mMin - mNow) * (mMax - mMin + mNow) ) / mMax;
  }
      
  // Begin loop to find the set of intermediate invariant masses.
  vector rndmOrd;
  do {
    wtPS  = 1.;
          
    // Find and order random numbers in descending order.
    rndmOrd.clear();
    rndmOrd.push_back(1.);
    for (int i = 1; i < decayMult - 1; ++i) {
      double random = rndmPtr->flat();
      rndmOrd.push_back(random);
      for (int j = i - 1; j > 0; --j) {
        if (random > rndmOrd[j]) swap( rndmOrd[j], rndmOrd[j+1] );
        else break;
      }
    }
    rndmOrd.push_back(0.);
          
    // Translate into intermediate masses and find weight.
    for (int i = decayMult - 1; i > 0; --i) {
      mInv[i] = mInv[i+1] + children[i].m()
              + (rndmOrd[i-1] - rndmOrd[i]) * mDiff;
      wtPS   *= 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - children[i].m())
              * (mInv[i] + mInv[i+1] + children[i].m())
              * (mInv[i] + mInv[i+1] - children[i].m())
              * (mInv[i] - mInv[i+1] + children[i].m()) ) / mInv[i];
    }
          
    // If rejected, try again with new invariant masses.
  } while ( wtPS < rndmPtr->flat() * wtPSmax );
        
  // Perform two-particle decays in the respective rest frame.
  vector pInv(decayMult + 1);
  for (int i = 1; i < decayMult; ++i) {
    double pAbs = 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - children[i].m())
                * (mInv[i] + mInv[i+1] + children[i].m())
                * (mInv[i] + mInv[i+1] - children[i].m())
                * (mInv[i] - mInv[i+1] + children[i].m()) ) / mInv[i];

    // Isotropic angles give three-momentum.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = pAbs * sinTheta * cos(phi);
    double pY       = pAbs * sinTheta * sin(phi);
    double pZ       = pAbs * cosTheta;

    // Calculate energies, fill four-momenta.
    double eHad     = sqrt( children[i].m()*children[i].m() + pAbs*pAbs);
    double eInv     = sqrt( mInv[i+1]*mInv[i+1] + pAbs*pAbs);
    children[i].p( pX, pY, pZ, eHad);
    pInv[i+1].p( -pX, -pY, -pZ, eInv);
  }

  // Boost decay products to the mother rest frame.
  children[decayMult].p( pInv[decayMult] );
  for (int iFrame = decayMult - 1; iFrame > 1; --iFrame)
    for (int i = iFrame; i <= decayMult; ++i)
      children[i].bst( pInv[iFrame], mInv[iFrame]);

  // Boost decay products to the current frame.
  pInv[1].p( children[0].p() );
  for (int i = 1; i <= decayMult; ++i) children[i].bst( pInv[1], mInv[1] );

  // Done.
  return;
}

//--------------------------------------------------------------------------

// Write the vector of HelicityParticles to the event record, excluding the
// first particle. Set the lifetime and production vertex of the particles
// and mark the first particle of the vector as decayed.
 
void TauDecays::writeDecay(Event& event, vector& children) {

  // Set additional information and append children to event.
  int  decayMult   = children.size() - 1;
  Vec4 decayVertex = children[0].vDec();
  for (int i = 1; i <= decayMult; i++) {
    // Set child lifetime.
    children[i].tau(children[i].tau0() * rndmPtr->exp());
    // Set child production vertex.
    children[i].vProd(decayVertex);
    // Append child to record.
    children[i].idx = event.append(children[i]);
  }
  
  // Mark the parent as decayed and set children.
  event[children[0].idx].statusNeg();
  event[children[0].idx].daughters(children[1].idx, children[decayMult].idx);

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/LesHouches.cc0000644000175000017500000006374612357054761015531 0ustar  sunsun// LesHouches.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the LHAup and
// LHAupLHEF classes.

#include "Pythia8/LesHouches.h"

// Access time information.
#include 

// GZIP support.
#ifdef GZIPSUPPORT

// For GCC versions >= 4.6, can switch off shadow warnings.
#if (defined GZIPSUPPORT && ((__GNUC__ * 100) + __GNUC_MINOR__) >= 406)
#pragma GCC diagnostic ignored "-Wshadow"
#endif

// Boost includes.
#include "boost/iostreams/filtering_stream.hpp"
#include "boost/iostreams/filter/gzip.hpp"

// Switch shadow warnings back on.
#if (defined GZIPSUPPORT && ((__GNUC__ * 100) + __GNUC_MINOR__) >= 406)
#pragma GCC diagnostic warning "-Wshadow"
#endif

#endif // GZIPSUPPORT

namespace Pythia8 {

//==========================================================================

// LHAup class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// LHA convention with cross section in pb may require conversion from mb.
const double LHAup::CONVERTMB2PB = 1e9;

//--------------------------------------------------------------------------

// Print the initialization info; to check it worked.

void LHAup::listInit(ostream& os) {

  // Header.
  os << "\n --------  LHA initialization information  ------------ \n";

  // Beam info.
  os << fixed << setprecision(3)
     << "\n  beam    kind      energy  pdfgrp  pdfset \n"
     << "     A  " << setw(6) << idBeamASave
     <<  setw(12) << eBeamASave
     << setw(8) << pdfGroupBeamASave
     << setw(8) << pdfSetBeamASave << "\n"
     << "     B  " << setw(6) << idBeamBSave
     <<  setw(12) << eBeamBSave
     << setw(8) << pdfGroupBeamBSave
     << setw(8) << pdfSetBeamBSave << "\n";

  // Event weighting strategy.
  os << "\n  Event weighting strategy = " << setw(2)
     << strategySave << "\n" ;

  // Process list.
  os << scientific << setprecision(4)
     << "\n  Processes, with strategy-dependent cross section info \n"
     << "  number      xsec (pb)      xerr (pb)      xmax (pb) \n" ;
  for (int ip = 0; ip < int(processes.size()); ++ip) {
    os << setw(8) << processes[ip].idProc
       << setw(15) << processes[ip].xSecProc
       << setw(15) << processes[ip].xErrProc
       << setw(15) << processes[ip].xMaxProc << "\n";
  }

  // Finished.
  os << "\n --------  End LHA initialization information  -------- \n";

}

//--------------------------------------------------------------------------

// Print the event info; to check it worked.

void LHAup::listEvent(ostream& os) {

  // Header.
  os << "\n --------  LHA event information and listing  -------------"
     << "--------------------------------------------------------- \n";

  // Basic event info.
  os << scientific << setprecision(4)
     << "\n    process = " << setw(8) << idProc
     << "    weight = " << setw(12) << weightProc
     << "     scale = " << setw(12) << scaleProc << " (GeV) \n"
     << "                   "
     << "     alpha_em = " << setw(12) << alphaQEDProc
     << "    alpha_strong = " << setw(12) << alphaQCDProc << "\n";

  // Particle list
  os << fixed << setprecision(3)
     << "\n    Participating Particles \n"
     << "    no        id stat     mothers     colours      p_x        "
     << "p_y        p_z         e          m        tau    spin \n" ;
  for (int ip = 1; ip < int(particles.size()); ++ip) {
    os << setw(6) << ip
       << setw(10) << particles[ip].idPart
       << setw(5) << particles[ip].statusPart
       << setw(6) << particles[ip].mother1Part
       << setw(6) << particles[ip].mother2Part
       << setw(6) << particles[ip].col1Part
       << setw(6) << particles[ip].col2Part
       << setw(11) << particles[ip].pxPart
       << setw(11) << particles[ip].pyPart
       << setw(11) << particles[ip].pzPart
       << setw(11) << particles[ip].ePart
       << setw(11) <<  particles[ip].mPart
       << setw(8) <<  particles[ip].tauPart
       << setw(8) <<  particles[ip].spinPart << "\n";
  }

  // PDF info - optional.
  if (pdfIsSetSave) os << "\n     pdf: id1 =" << setw(5) << id1pdfSave
    << " id2 =" << setw(5) << id2pdfSave
    << " x1 ="  << scientific << setw(10) << x1pdfSave
    << " x2 =" << setw(10) << x2pdfSave
    << " scalePDF =" << setw(10) << scalePDFSave
    << " pdf1 =" << setw(10) << pdf1Save
    << " pdf2 =" << setw(10) << pdf2Save << "\n";

  // Finished.
  os << "\n --------  End LHA event information and listing  ---------"
     << "--------------------------------------------------------- \n";

}

//--------------------------------------------------------------------------

// Open and write header to a Les Houches Event File.

bool LHAup::openLHEF(string fileNameIn) {

  // Open file for writing. Reset it to be empty.
  fileName = fileNameIn;
  const char* cstring = fileName.c_str();
  osLHEF.open(cstring, ios::out | ios::trunc);
  if (!osLHEF) {
    infoPtr->errorMsg("Error in LHAup::openLHEF:"
      " could not open file", fileName);
    return false;
  }

  // Read out current date and time.
  time_t t = time(0);
  strftime(dateNow,12,"%d %b %Y",localtime(&t));
  strftime(timeNow,9,"%H:%M:%S",localtime(&t));

  // Write header.
  osLHEF << "\n"
         << "" << endl;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Write initialization information to a Les Houches Event File.

bool LHAup::initLHEF() {

  // Write information on beams.
  osLHEF << "\n" << scientific << setprecision(6)
         << "  " << idBeamASave       << "  " << idBeamBSave
         << "  " << eBeamASave        << "  " << eBeamBSave
         << "  " << pdfGroupBeamASave << "  " << pdfGroupBeamBSave
         << "  " << pdfSetBeamASave   << "  " << pdfSetBeamBSave
         << "  " << strategySave      << "  " << processes.size() << "\n";

  // Write information on all the subprocesses.
  for (int ip = 0; ip < int(processes.size()); ++ip)
    osLHEF << " " << setw(13) << processes[ip].xSecProc
           << " " << setw(13) << processes[ip].xErrProc
           << " " << setw(13) << processes[ip].xMaxProc
           << " " << setw(6) << processes[ip].idProc << "\n";

  // Done.
  osLHEF << "" << endl;
  return true;

}

//--------------------------------------------------------------------------

// Write event information to a Les Houches Event File.
// Normal mode is to line up event info in columns, but the non-verbose
// altnernative saves space at the expense of human readability.

bool LHAup::eventLHEF(bool verbose) {

  // Default verbose option.
  if (verbose) {

    // Write information on process as such.
    osLHEF << "\n" << scientific << setprecision(6)
           << " " << setw(5) << particles.size() - 1
           << " " << setw(5) << idProc
           << " " << setw(13) << weightProc
           << " " << setw(13) << scaleProc
           << " " << setw(13) << alphaQEDProc
           << " " << setw(13) << alphaQCDProc << "\n";

    // Write information on the particles, excluding zeroth.
    for (int ip = 1; ip < int(particles.size()); ++ip) {
      LHAParticle& ptNow = particles[ip];
      osLHEF << " " << setw(8) << ptNow.idPart
             << " " << setw(5) << ptNow.statusPart
             << " " << setw(5) << ptNow.mother1Part
             << " " << setw(5) << ptNow.mother2Part
             << " " << setw(5) << ptNow.col1Part
             << " " << setw(5) << ptNow.col2Part << setprecision(10)
             << " " << setw(17) << ptNow.pxPart
             << " " << setw(17) << ptNow.pyPart
             << " " << setw(17) << ptNow.pzPart
             << " " << setw(17) << ptNow.ePart
             << " " << setw(17) <<  ptNow.mPart << setprecision(6);
      if (ptNow.tauPart == 0.) osLHEF << " 0.";
      else osLHEF << " " << setw(13) << ptNow.tauPart;
      if (ptNow.spinPart == 9.) osLHEF << " 9.";
      else osLHEF << " " << setw(13) << ptNow.spinPart;
      osLHEF << "\n";
    }

    // Optionally write information on PDF values at hard interaction.
    if (pdfIsSetSave) osLHEF << "#pdf"
             << " " << setw(4) << id1pdfSave
             << " " << setw(4) << id2pdfSave
             << " " << setw(13) << x1pdfSave
             << " " << setw(13) << x2pdfSave
             << " " << setw(13) << scalePDFSave
             << " " << setw(13) << pdf1Save
             << " " << setw(13) << pdf2Save << "\n";

  // Alternative non-verbose option.
  } else {

    // Write information on process as such.
    osLHEF << "\n" << scientific << setprecision(6)
           << particles.size() - 1 << " " << idProc       << " "
           << weightProc           << " " << scaleProc    << " "
           << alphaQEDProc         << " " << alphaQCDProc << "\n";

    // Write information on the particles, excluding zeroth.
    for (int ip = 1; ip < int(particles.size()); ++ip) {
      LHAParticle& ptNow = particles[ip];
      osLHEF        << ptNow.idPart      << " " << ptNow.statusPart
             << " " << ptNow.mother1Part << " " << ptNow.mother2Part
             << " " << ptNow.col1Part    << " " << ptNow.col2Part
             << setprecision(10)         << " " << ptNow.pxPart
             << " " << ptNow.pyPart      << " " << ptNow.pzPart
             << " " << ptNow.ePart       << " " << ptNow.mPart
             << setprecision(6);
      if (ptNow.tauPart == 0.) osLHEF << " 0.";
      else osLHEF << " " << setw(13) << ptNow.tauPart;
      if (ptNow.spinPart == 9.) osLHEF << " 9.";
      else osLHEF << " " << setw(13) << ptNow.spinPart;
      osLHEF << "\n";
    }

    // Optionally write information on PDF values at hard interaction.
    if (pdfIsSetSave) osLHEF << "#pdf" << " " << id1pdfSave
             << " " << id2pdfSave << " " << x1pdfSave << " " << x2pdfSave
             << " " << scalePDFSave << " " << pdf1Save << " " << pdf2Save
             << "\n";
  }

  // Done.
  osLHEF << "" << endl;
  return true;

}

//--------------------------------------------------------------------------

// Write end of a Les Houches Event File and close it.

bool LHAup::closeLHEF(bool updateInit) {

  // Write an end to the file.
  osLHEF << "" << endl;
  osLHEF.close();

  // Optionally update the cross section information.
  if (updateInit) {
    const char* cstring = fileName.c_str();
    osLHEF.open(cstring, ios::in | ios::out);
  
    // Rewrite header; identically with what openLHEF did.
    osLHEF << "\n"
           << "" << endl;

    // Redo initialization information.
    initLHEF();
    osLHEF.close();
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Read in initialization information from a Les Houches Event File.

bool LHAup::setInitLHEF(istream& is, bool readHeaders) {

  // Check that first line is consistent with proper LHEF file.
  string line;
  if (!getline(is, line)) return false;
  if (line.find("" : ") tag
  // is found first on a line.
  string tag = " ";
  do {
    if (!getline(is, line)) return false;
    if (line.find_first_not_of(" \n\t\v\b\r\f\a") != string::npos) {
      istringstream getfirst(line);
      getfirst >> tag;
      if (!getfirst) return false;
    }
  } while (tag != "" && tag != " headerMap;

    // Loop over lines until an  tag is found.
    bool read = true, newKey = false;
    string key = "base";
    vector < string > keyVec;
    while (true) {
      if (!getline(is, line)) return false;

      // Check if this line is a tag; '<' as first character,
      // '>' as last character, exclusing whitespace
      size_t pos1 = line.find_first_not_of(" \n\t\v\b\r\f\a");
      size_t pos2 = line.find_last_not_of(" \n\t\v\b\r\f\a");
      if (pos1 != string::npos && line[pos1] == '<' &&
          pos2 != string::npos && line[pos2] == '>' &&
          pos1 < pos2) {

        // Only take the first word of the tag
        tag = line.substr(pos1 + 1, pos2 - pos1 - 1);
        istringstream getfirst(tag);
        getfirst >> tag;

        // Tag present, so handle here
        if (getfirst) {

          // Exit condition
          if (tag == "init") break;

          // End of header block; keep reading until  tag,
          // but do not store any further information
          else if (tag == "/header") {
            read = false;
            continue;

          // Opening tag
          } else if (tag[0] != '/') {
            keyVec.push_back(tag);
            newKey = true;
            continue;

          // Closing tag that matches current key
          } else if (tag == "/" + keyVec.back()) {
            keyVec.pop_back();
            newKey = true;
            continue;
          }

        } // if (getfirst)
      }

      // At this point we have a line that is not a tag; if no longer
      // reading headers then keep going
      if (!read) continue;
      
      // Check for key change
      if (newKey) {
        if (keyVec.empty()) key = "base";
        else                key = keyVec[0];
        for (size_t i = 1; i < keyVec.size(); i++)
          key += "." + keyVec[i];
        newKey = false;
      }

      // Append information to local storage
      headerMap[key] += line + "\n";

    } // while (true)

    // Copy information to info using LHAup::setInfoHeader
    for (map < string, string >::iterator it = headerMap.begin();
        it != headerMap.end(); it++)
      setInfoHeader(it->first, it->second);

  } // if (readHeaders == true && tag == headerTag)

  // Read in first info line; done if empty.
  if (!getline(is, line)) return false;
  if (line.find("> idbmupA >> idbmupB >> ebmupA >> ebmupB >> pdfgupA
     >> pdfgupB >> pdfsupA >> pdfsupB >> idwtup >> nprup;
  if (!getbms) return false;
  setBeamA(idbmupA, ebmupA, pdfgupA, pdfsupA);
  setBeamB(idbmupB, ebmupB, pdfgupB, pdfsupB);
  setStrategy(idwtup);

  // Read in process info, one process at a time, and store it.
  double xsecup, xerrup, xmaxup;
  xSecSumSave = 0.;
  xErrSumSave = 0.;
  int lprup;
  for (int ip = 0; ip < nprup; ++ip) {
    if (!getline(is, line)) return false;
    istringstream getpro(line);
    getpro >> xsecup >> xerrup >> xmaxup >> lprup ;
    if (!getpro) return false;
    addProcess(lprup, xsecup, xerrup, xmaxup);
    xSecSumSave += xsecup;
    xErrSumSave += pow2(xerrup);
  }
  xErrSumSave = sqrt(xErrSumSave);

  // Reading worked.
  return true;

}

//--------------------------------------------------------------------------

// Read in event information from a Les Houches Event File,
// into a staging area where it can be reused by setOldEventLHEF.

bool LHAup::setNewEventLHEF(istream& is, double mRecalculate ) {

  // Loop over lines until an > tag;
      if (!getfirst) return false;
    }
  } while (tag != "" && tag != "> nupSave >> idprupSave >> xwgtupSave >> scalupSave
    >> aqedupSave >> aqcdupSave;
  if (!getpro) return false;

  // Reset particlesSave vector, add slot-0 empty particle.
  particlesSave.clear();
  particlesSave.push_back( LHAParticle() );

  // Read in particle info one by one, and store it.
  // Note unusual C++ loop range, to better reflect LHA/Fortran standard.
  // (Recall that process(...) above added empty particle at index 0.)
  int idup, istup, mothup1, mothup2, icolup1, icolup2;
  double pup1, pup2, pup3, pup4, pup5, vtimup, spinup;
  bool doRecalculate = (mRecalculate > 0.);
  for (int ip = 1; ip <= nupSave; ++ip) {
    if (!getline(is, line)) return false;
    istringstream getall(line);
    getall >> idup >> istup >> mothup1 >> mothup2 >> icolup1 >> icolup2
      >> pup1 >> pup2 >> pup3 >> pup4 >> pup5 >> vtimup >> spinup;
    if (!getall) return false;
    // Optionally recalculate mass from four-momentum.
    if (doRecalculate && pup5 > mRecalculate)
      pup5 = sqrtpos( pup4*pup4 - pup1*pup1 - pup2*pup2 - pup3*pup3);
    particlesSave.push_back( LHAParticle( idup, istup, mothup1, mothup2,
      icolup1, icolup2, pup1, pup2, pup3, pup4, pup5, vtimup, spinup, -1.) );
  }

  // Flavour and x values of hard-process initiators.
  id1InSave = particlesSave[1].idPart;
  id2InSave = particlesSave[2].idPart;
  x1InSave  = (eBeamASave > 0.) ? particlesSave[1].ePart / eBeamASave : 0.;
  x2InSave  = (eBeamBSave > 0.) ? particlesSave[2].ePart / eBeamBSave : 0.;

  // Continue parsing till . Look for optional info on the way.
  getPDFSave = false;
  getScale   = false;
  do {
    if (!getline(is, line)) return false;
    istringstream getinfo(line);
    getinfo >> tag;
    if (!getinfo) return false;

    // Extract PDF info if present.
    if (tag == "#pdf" && !getPDFSave) {
      getinfo >> id1pdfInSave >> id2pdfInSave >> x1pdfInSave >> x2pdfInSave
              >> scalePDFInSave >> pdf1InSave >> pdf2InSave;
      if (!getinfo) return false;
      getPDFSave = true;
    
    // Extract scale info if present.
    } else if (tag == "#" && !getScale) {
      double scaleIn = 0;
      for (int i = 3; i < int(particlesSave.size()); ++i)
      if (particlesSave[i].statusPart == 1) {
        if ( !(getinfo >> scaleIn) ) return false;
        particlesSave[i].scalePart = scaleIn;
      }
      if (!getinfo) return false;
      getScale = true;
    }
  } while (tag != "" && tag != "setstate(std::ios_base::badbit);

  // Check filename ending to decide which filters to apply.
  else {
    const char *last = strrchr(fn, '.');
    if (last && strncmp(last, ".gz", 3) == 0)
      fis->push(boost::iostreams::gzip_decompressor());
    fis->push(ifs);
  }
  return (istream *) fis;

#endif // GZIPSUPPORT
}

//--------------------------------------------------------------------------

// Companion method to 'openFile', above.
// Correctly deallocates memory if required before closing the file.

void LHAup::closeFile(istream *&is, ifstream &ifs) {
  // If the istream pointer is not NULL and is not the
  // same as the ifstream, then delete pointer.
  if (is && is != &ifs) delete is;
  is = NULL;

  // Close the file
  if (ifs.is_open()) ifs.close();
}


//==========================================================================

// LHAupLHEF class.

//--------------------------------------------------------------------------

// Constructor.

LHAupLHEF::LHAupLHEF(const char* fileIn, const char* headerIn,
                     bool readHeadersIn)
    : is(NULL), isHead(NULL), readHeaders(readHeadersIn) {

  // Open LHEF and optionally header file as well. Note that both
  // are opened here so that initialisation can be aborted if
  // either of the files is missing, see fileFound().
  is     = openFile(fileIn, ifs);
  isHead = (headerIn == NULL) ? is : openFile(headerIn, ifsHead);
}

//--------------------------------------------------------------------------

// Destructor.

LHAupLHEF::~LHAupLHEF() {
  // Close files
  closeAllFiles();
}

//==========================================================================

// LHAupFromPYTHIA8 class.

//--------------------------------------------------------------------------

// Read in initialization information from PYTHIA 8.

bool LHAupFromPYTHIA8::setInit() {
  
  // Read in beam from Info class. Parton density left empty.
  int    idbmupA = infoPtr->idA();
  int    idbmupB = infoPtr->idB();
  double ebmupA  = infoPtr->eA();
  double ebmupB  = infoPtr->eB();
  int    pdfgupA = 0;
  int    pdfgupB = 0;
  int    pdfsupA = 0;
  int    pdfsupB = 0;
  setBeamA(idbmupA, ebmupA, pdfgupA, pdfsupA);
  setBeamB(idbmupB, ebmupB, pdfgupB, pdfsupB);

  // Currently only one allowed strategy.
  int    idwtup = 3;
  setStrategy(idwtup);

  // Only one process with dummy information. (Can overwrite at the end.)
  int    lprup  = 9999;
  double xsecup = 1.;
  double xerrup = 0.;
  double xmaxup = 1.;
  addProcess(lprup, xsecup, xerrup, xmaxup);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Read in event information from PYTHIA 8.

bool LHAupFromPYTHIA8::setEvent( int, double ) {

  // Read process information from Info class, and store it.
  // Note: renormalization scale here, factorization further down.
  // For now always convert to process 9999, instead of infoPtr->code().
  int    idprup = 9999;
  double xwgtup = infoPtr->weight();
  double scalup = infoPtr->QRen();
  double aqedup = infoPtr->alphaEM();
  double aqcdup = infoPtr->alphaS();
  setProcess(idprup, xwgtup, scalup, aqedup, aqcdup);

  // Read in particle info one by one, excluding zero and beams, and store it.
  // Note unusual C++ loop range, to better reflect LHA/Fortran standard.
  int nup   = processPtr->size() - 3;
  int    idup, statusup, istup, mothup1, mothup2, icolup1, icolup2;
  double pup1, pup2, pup3, pup4, pup5, vtimup, spinup;
  for (int ip = 1; ip <= nup; ++ip) {
    Particle& particle = (*processPtr)[ip + 2];
    idup     = particle.id();
    // Convert from PYTHIA8 to LHA status codes.
    statusup = particle.status();
    if (ip < 3)            istup = -1;
    else if (statusup < 0) istup =  2;
    else                   istup =  1;
    mothup1  = max(0, particle.mother1() - 2);
    mothup2  = max(0, particle.mother2() - 2);
    icolup1  = particle.col();
    icolup2  = particle.acol();
    pup1     = particle.px();
    pup2     = particle.py();
    pup3     = particle.pz();
    pup4     = particle.e();
    pup5     = particle.m();
    vtimup   = particle.tau();
    spinup   = particle.pol();
    addParticle(idup, istup, mothup1, mothup2, icolup1, icolup2,
      pup1, pup2, pup3, pup4, pup5, vtimup, spinup, -1.) ;
  }

  // Extract hard-process initiator information from Info class, and store it.
  int    id1up      = infoPtr->id1();
  int    id2up      = infoPtr->id2();
  double x1up       = infoPtr->x1();
  double x2up       = infoPtr->x2();
  setIdX( id1up, id2up, x1up, x2up);

  // Also extract pdf information from Info class, and store it.
  int    id1pdfup   = infoPtr->id1pdf();
  int    id2pdfup   = infoPtr->id2pdf();
  double x1pdfup    = infoPtr->x1pdf();
  double x2pdfup    = infoPtr->x2pdf();
  double scalePDFup = infoPtr->QFac();
  double pdf1up     = infoPtr->pdf1();
  double pdf2up     = infoPtr->pdf2();
  setPdf(id1pdfup, id2pdfup, x1pdfup, x2pdfup, scalePDFup, pdf1up,
    pdf2up, true);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

//  Update cross-section information at the end of the run.

bool LHAupFromPYTHIA8::updateSigma() {

  // Read out information from PYTHIA 8 and send it in to LHA.
  double sigGen = CONVERTMB2PB * infoPtr->sigmaGen();
  double sigErr = CONVERTMB2PB * infoPtr->sigmaErr();
  setXSec(0, sigGen);
  setXErr(0, sigErr);

  // Done.
  return true;

}
 
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/MiniStringFragmentation.cc0000644000175000017500000002621212357054762020255 0ustar  sunsun// MiniStringFragmentation.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the .
// MiniStringFragmentation class

#include "Pythia8/MiniStringFragmentation.h"

namespace Pythia8 {

//==========================================================================

// The MiniStringFragmentation class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Since diffractive by definition is > 1 particle, try hard.
const int MiniStringFragmentation::NTRYDIFFRACTIVE = 200;

// After one-body fragmentation failed, try two-body once more.
const int MiniStringFragmentation::NTRYLASTRESORT  = 100;

// Loop try to combine available endquarks to valid hadron.
const int MiniStringFragmentation::NTRYFLAV        = 10;

//--------------------------------------------------------------------------

// Initialize and save pointers.

void MiniStringFragmentation::init(Info* infoPtrIn, Settings& settings,
   ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
   StringFlav* flavSelPtrIn, StringPT* pTSelPtrIn, StringZ* zSelPtrIn) {

  // Save pointers.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  flavSelPtr      = flavSelPtrIn;
  pTSelPtr        = pTSelPtrIn;
  zSelPtr         = zSelPtrIn;

  // Initialize the MiniStringFragmentation class proper.
  nTryMass        = settings.mode("MiniStringFragmentation:nTry");

  // Initialize the b parameter of the z spectrum, used when joining jets.
  bLund           = zSelPtr->bAreaLund();

}

//--------------------------------------------------------------------------

// Do the fragmentation: driver routine.
  
bool MiniStringFragmentation::fragment(int iSub, ColConfig& colConfig,
  Event& event, bool isDiff) {

  // Junction topologies not yet considered - is very rare.
  iParton  = colConfig[iSub].iParton;
  if (iParton.front() < 0) {
    infoPtr->errorMsg("Error in MiniStringFragmentation::fragment: "
      "very low-mass junction topologies not yet handled");
    return false;
  }

  // Read in info on system to be treated.
  flav1    = FlavContainer( event[ iParton.front() ].id() );
  flav2    = FlavContainer( event[ iParton.back() ].id() );
  pSum     = colConfig[iSub].pSum;
  mSum     = colConfig[iSub].mass;
  m2Sum    = mSum*mSum;
  isClosed = colConfig[iSub].isClosed;

  // Do not want diffractive systems to easily collapse to one particle.
  int nTryFirst = (isDiff) ? NTRYDIFFRACTIVE : nTryMass;

  // First try to produce two particles from the system.
  if (ministring2two( nTryFirst, event)) return true;

  // If this fails, then form one hadron and shuffle momentum.
  if (ministring2one( iSub, colConfig, event)) return true;

  // If also this fails, then try harder to produce two particles.
  if (ministring2two( NTRYLASTRESORT, event)) return true;

  // Else complete failure.
  infoPtr->errorMsg("Error in MiniStringFragmentation::fragment: "
      "no 1- or 2-body state found above mass threshold");
  return false;

}

//--------------------------------------------------------------------------

  // Attempt to produce two particles from the ministring.
  
bool MiniStringFragmentation::ministring2two( int nTry, Event& event) {

  // Properties of the produced hadrons.
  int    idHad1  = 0;
  int    idHad2  = 0;
  double mHad1   = 0.;
  double mHad2   = 0.;
  double mHadSum = 0.;

  // Allow a few attempts to find a particle pair with low enough masses.
  for (int iTry = 0; iTry < nTry; ++iTry) {

    // For closed gluon loop need to pick an initial flavour.
    if (isClosed) do {
      int idStart = flavSelPtr->pickLightQ();
      FlavContainer flavStart(idStart, 1);
      flavStart = flavSelPtr->pick( flavStart);
      flav1 = flavSelPtr->pick( flavStart);
      flav2.anti(flav1);
    } while (flav1.id == 0 || flav1.nPop > 0);
   
    // Create a new q qbar flavour to form two hadrons.
    // Start from a diquark, if any.
    do {
      FlavContainer flav3 =
        (flav1.isDiquark() || (!flav2.isDiquark() && rndmPtr->flat() < 0.5) )
        ? flavSelPtr->pick( flav1) : flavSelPtr->pick( flav2).anti();
      idHad1 = flavSelPtr->combine( flav1, flav3);
      idHad2 = flavSelPtr->combine( flav2, flav3.anti());
    } while (idHad1 == 0 || idHad2 == 0);

    // Check whether the mass sum fits inside the available phase space.
    mHad1 = particleDataPtr->mSel(idHad1);
    mHad2 = particleDataPtr->mSel(idHad2);
    mHadSum = mHad1 + mHad2;
    if (mHadSum < mSum) break;
  }
  if (mHadSum >= mSum) return false;

  // Define an effective two-parton string, by splitting intermediate
  // gluon momenta in proportion to their closeness to either endpoint.
  Vec4 pSum1 = event[ iParton.front() ].p();
  Vec4 pSum2 = event[ iParton.back() ].p();
  if (iParton.size() > 2) {
    Vec4 pEnd1 = pSum1;
    Vec4 pEnd2 = pSum2;
    Vec4 pEndSum = pEnd1 + pEnd2;
    for (int i = 1; i < int(iParton.size()) - 1 ; ++i) {
      Vec4 pNow = event[ iParton[i] ].p();
      double ratio = (pEnd2 * pNow) / (pEndSum * pNow);
      pSum1 += ratio * pNow;
      pSum2 += (1. - ratio) * pNow;
    }
  }

  // Set up a string region based on the two effective endpoints.
  StringRegion region;
  region.setUp( pSum1, pSum2);

  // Generate an isotropic decay in the ministring rest frame,
  // suppressed at large pT by a fragmentation pT Gaussian.
  double pAbs2 = 0.25 * ( pow2(m2Sum - mHad1*mHad1 - mHad2*mHad2)
    - pow2(2. * mHad1 * mHad2) ) / m2Sum;
  double pT2 = 0.;
  do {
    double cosTheta = rndmPtr->flat();
    pT2 = (1. - pow2(cosTheta)) * pAbs2;
  } while (pTSelPtr->suppressPT2(pT2) < rndmPtr->flat() );

  // Construct the forward-backward asymmetry of the two particles.
  double mT21 = mHad1*mHad1 + pT2;
  double mT22 = mHad2*mHad2 + pT2;
  double lambda = sqrtpos( pow2(m2Sum  - mT21 - mT22) - 4. * mT21 * mT22 );
  double probReverse = 1. / (1. + exp( min( 50., bLund * lambda) ) );

  // Construct kinematics, as viewed in the transverse rest frame.
  double xpz1 = 0.5 * lambda/ m2Sum;
  if (probReverse > rndmPtr->flat()) xpz1 = -xpz1;
  double xmDiff = (mT21 - mT22) / m2Sum;
  double xe1 = 0.5 * (1. + xmDiff);
  double xe2 = 0.5 * (1. - xmDiff );

  // Distribute pT isotropically in angle.
  double phi = 2. * M_PI * rndmPtr->flat();
  double pT  = sqrt(pT2);
  double px  = pT * cos(phi);
  double py  = pT * sin(phi);

  // Translate this into kinematics in the string frame.
  Vec4 pHad1 = region.pHad( xe1 + xpz1, xe1 - xpz1,  px,  py);
  Vec4 pHad2 = region.pHad( xe2 - xpz1, xe2 + xpz1, -px, -py);

  // Add produced particles to the event record.
  int iFirst = event.append( idHad1, 82, iParton.front(), iParton.back(),
    0, 0, 0, 0, pHad1, mHad1);
  int iLast = event.append( idHad2, 82, iParton.front(), iParton.back(),
    0, 0, 0, 0, pHad2, mHad2);

  // Set decay vertex when this is displaced.
  if (event[iParton.front()].hasVertex()) {
    Vec4 vDec = event[iParton.front()].vDec();
    event[iFirst].vProd( vDec );
    event[iLast].vProd( vDec );
  }

  // Set lifetime of hadrons.
  event[iFirst].tau( event[iFirst].tau0() * rndmPtr->exp() );
  event[iLast].tau( event[iLast].tau0() * rndmPtr->exp() );

  // Mark original partons as hadronized and set their daughter range.
  for (int i = 0; i < int(iParton.size()); ++i) {
    event[ iParton[i] ].statusNeg();
    event[ iParton[i] ].daughters(iFirst, iLast);
  }

  // Successfully done.
  return true;

}

//--------------------------------------------------------------------------

// Attempt to produce one particle from a ministring.
// Current algorithm: find the system with largest invariant mass
// relative to the existing one, and boost that system appropriately.
// Try more sophisticated alternatives later?? (Z0 mass shifted??)
// Also, if problems, attempt several times to obtain closer mass match??
  
bool MiniStringFragmentation::ministring2one( int iSub,
  ColConfig& colConfig, Event& event) {

  // Cannot handle qq + qbarqbar system.
  if (abs(flav1.id) > 100 && abs(flav2.id) > 100) return false;

  // For closed gluon loop need to pick an initial flavour.
  if (isClosed) do {
    int idStart = flavSelPtr->pickLightQ();
    FlavContainer flavStart(idStart, 1);
    flav1 = flavSelPtr->pick( flavStart);
    flav2 = flav1.anti();
  } while (abs(flav1.id) > 100);

  // Select hadron flavour from available quark flavours.
  int idHad = 0;
  for (int iTryFlav = 0; iTryFlav < NTRYFLAV; ++iTryFlav) {
    idHad = flavSelPtr->combine( flav1, flav2);
    if (idHad != 0) break;
  }
  if (idHad == 0) return false;

  // Find mass.
  double mHad = particleDataPtr->mSel(idHad);
  
  // Find the untreated parton system which combines to the largest
  // squared mass above mimimum required.
  int iMax = -1;
  double deltaM2 = mHad*mHad - mSum*mSum;
  double delta2Max = 0.;
  for (int iRec = iSub + 1; iRec < colConfig.size(); ++iRec) {
    double delta2Rec = 2. * (pSum * colConfig[iRec].pSum) - deltaM2
      - 2. * mHad * colConfig[iRec].mass;
    if (delta2Rec > delta2Max) { iMax = iRec; delta2Max = delta2Rec;}
  }
  if (iMax == -1) return false;

  // Construct kinematics of the hadron and recoiling system.
  Vec4& pRec     = colConfig[iMax].pSum;
  double mRec    = colConfig[iMax].mass;
  double vecProd = pSum * pRec;
  double coefOld = mSum*mSum + vecProd;
  double coefNew = mHad*mHad + vecProd;
  double coefRec = mRec*mRec + vecProd;
  double coefSum = coefOld + coefNew;
  double sHat    = coefOld + coefRec;
  double root    = sqrtpos( (pow2(coefSum) - 4. * sHat * mHad*mHad)
    / (pow2(vecProd) - pow2(mSum * mRec)) );
  double k2      = 0.5 * (coefOld * root - coefSum) / sHat;
  double k1      = (coefRec * k2 + 0.5 * deltaM2) / coefOld;
  Vec4 pHad      = (1. + k1) * pSum - k2 * pRec;
  Vec4 pRecNew   = (1. + k2) * pRec - k1 * pSum;
  
  // Add the produced particle to the event record.
  int iHad = event.append( idHad, 81, iParton.front(), iParton.back(),
    0, 0, 0, 0, pHad, mHad);

  // Set decay vertex when this is displaced.
  if (event[iParton.front()].hasVertex()) {
    Vec4 vDec = event[iParton.front()].vDec();
    event[iHad].vProd( vDec );
  }

  // Set lifetime of hadron.
  event[iHad].tau( event[iHad].tau0() * rndmPtr->exp() );

  // Mark original partons as hadronized and set their daughter range.
  for (int i = 0; i < int(iParton.size()); ++i) {
    event[ iParton[i] ].statusNeg();
    event[ iParton[i] ].daughters(iHad, iHad);
  }
   
  // Copy down recoiling system, with boosted momentum. Update current partons.
  RotBstMatrix M;
  M.bst(pRec, pRecNew);
  for (int i = 0; i < colConfig[iMax].size(); ++i) {
    int iOld = colConfig[iMax].iParton[i];
    // Do not touch negative iOld = beginning of new junction leg.
    if (iOld >= 0) {
      int iNew = event.copy(iOld, 72);
      event[iNew].rotbst(M);
      colConfig[iMax].iParton[i] = iNew;
    }
  }
  colConfig[iMax].pSum = pRecNew;
  colConfig[iMax].isCollected = true;

  // Successfully done.
  return true;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/Info.cc0000644000175000017500000002413512357054761014347 0ustar  sunsun// Info.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the Info class.

#include "Pythia8/Info.h"

namespace Pythia8 {

//==========================================================================

// Info class.
// This class contains a mixed bag of information on the event generation
// activity, especially on the current subprocess properties.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of times the same error message will be repeated at most.
const int Info::TIMESTOPRINT = 1;

// LHA convention with cross section in pb may require conversion from mb.
const double Info::CONVERTMB2PB = 1e9;

//--------------------------------------------------------------------------

// List (almost) all information currently set.

void Info::list(ostream& os) const {

  // Header and beam info.
  os << "\n --------  PYTHIA Info Listing  ------------------------"
     << "---------------- \n \n"
     << scientific << setprecision(3)
     << " Beam A: id = " << setw(6) << idASave << ", pz = " << setw(10)
     << pzASave << ", e = " << setw(10) << eASave << ", m = " << setw(10)
     << mASave << ".\n"
     << " Beam B: id = " << setw(6) << idBSave << ", pz = " << setw(10)
     << pzBSave << ", e = " << setw(10) << eBSave << ", m = " << setw(10)
     << mBSave << ".\n\n";

  // Done if no subprocess has been defined.
  if (codeSave == 0 && nFinalSave == 0) {
    os << " No process has been set; something must have gone wrong! \n"
       << "\n --------  End PYTHIA Info Listing  --------------------"
       << "----------------" << endl;
    return;
  }

  // Colliding parton info.
  if (isRes) {
    os << " In 1: id = " << setw(4) << id1pdfSave[0] << ", x = "
       << setw(10) << x1pdfSave[0] << ", pdf = " << setw(10) << pdf1Save[0]
       << " at Q2 = " << setw(10) << Q2FacSave[0] << ".\n"
       << " In 2: id = " << setw(4) << id2pdfSave[0] << ", x = "
       << setw(10) << x2pdfSave[0] << ", pdf = " << setw(10) << pdf2Save[0]
       << " at same Q2.\n";
    bool matchIdX = true;
    if (id1pdfSave[0] != id1Save[0] || id2pdfSave[0] != id2Save[0])
      matchIdX = false;
    if (abs(x1pdfSave[0] - x1Save[0]) > 1e-4 * x1Save[0]) matchIdX = false;
    if (abs(x2pdfSave[0] - x2Save[0]) > 1e-4 * x2Save[0]) matchIdX = false;
    if (!matchIdX) os << " Warning: above flavour/x info does not match"
       << " incoming partons in event!\n";
    os << "\n";
  }

  // Process name and code.
  os << ((isRes && !hasSubSave[0]) ? " Subprocess " : " Process ") << nameSave
     << " with code " << codeSave << " is 2 -> " << nFinalSave << ".\n";

  // Subprocess name and code for nondiffractive processes.
  if (hasSubSave[0])
    os << " Subprocess " << nameSubSave[0] << " with code " << codeSubSave[0]
       << " is 2 -> " << nFinalSubSave[0] << ".\n";

  // Process-type-specific kinematics information.
  if ( isRes && nFinalSave == 1)
    os << " It has sHat = " << setw(10) << sH[0] << ".\n";
  else if ( isRes && nFinalSave == 2)
    os << " It has sHat = " << setw(10) << sH[0] << ",    tHat = "
       << setw(10) << tH[0] << ",    uHat = " << setw(10) << uH[0] << ",\n"
       << "       pTHat = " << setw(10) << pTH[0] << ",   m3Hat = "
       << setw(10) << m3H[0] << ",   m4Hat = " << setw(10) << m4H[0] << ",\n"
       << "    thetaHat = " << setw(10) << thetaH[0] << ",  phiHat = "
       << setw(10) << phiH[0] << ".\n";
  else if ( nFinalSave == 2)
    os << " It has s = " << setw(10) << sH[0] << ",    t = " << setw(10)
       << tH[0] << ",    u = " << setw(10) << uH[0] << ",\n"
       << "       pT = " << setw(10) << pTH[0] << ",   m3 = " << setw(10)
       << m3H[0] << ",   m4 = " << setw(10) << m4H[0] << ",\n"
       << "    theta = " << setw(10) << thetaH[0] << ",  phi = " << setw(10)
       << phiH[0] << ".\n";
  else if ( isRes && nFinalSave == 3)
    os << " It has sHat = " << setw(10) << sH[0] << ",  = "
       << setw(10) << pTH[0] << ".\n";
  else if ( nFinalSave == 3)
    os << " It has s = " << setw(10) << sH[0] << ",  t_A = " << setw(10)
       << tH[0] << ",  t_B = " << setw(10) << uH[0] << ",\n"
       << "      = " << setw(10) << pTH[0] << ".\n";

  // Couplings.
  if (isRes) os << "     alphaEM = " << setw(10) << alphaEMSave[0]
    << ",  alphaS = " << setw(10) << alphaSSave[0] << "    at Q2 = "
    << setw(10) << Q2RenSave[0] << ".\n";

  // Diffractive subsystems.
  for (int iDS = 1; iDS < 4; ++iDS) if (id1Save[iDS] != 0) {
    if (iDS == 1) os << "\n Diffractive system on side A: \n";
    if (iDS == 2) os << "\n Diffractive system on side B: \n";
    if (iDS == 3) os << "\n Central diffractive system: \n";
    os << " In 1: id = " << setw(4) << id1pdfSave[iDS] << ", x = "
       << setw(10) << x1pdfSave[iDS] << ", pdf = " << setw(10)
       << pdf1Save[iDS] << " at Q2 = " << setw(10) << Q2FacSave[iDS]
       << ".\n" << " In 2: id = " << setw(4) << id2pdfSave[iDS]
       << ", x = " << setw(10) << x2pdfSave[iDS] << ", pdf = "
       << setw(10) << pdf2Save[iDS] << " at same Q2.\n";
    os << " Subprocess " << nameSubSave[iDS] << " with code "
       << codeSubSave[iDS] << " is 2 -> " << nFinalSubSave[iDS] << ".\n";
    if (nFinalSubSave[iDS] == 1)
      os << " It has sHat = " << setw(10) << sH[iDS] << ".\n";
    else if (nFinalSubSave[iDS] == 2)
      os << " It has sHat = " << setw(10) << sH[iDS] << ",    tHat = "
         << setw(10) << tH[iDS] << ",    uHat = " << setw(10) << uH[iDS]
         << ",\n" << "       pTHat = " << setw(10) << pTH[iDS]
         << ",   m3Hat = " << setw(10) << m3H[iDS] << ",   m4Hat = "
         << setw(10) << m4H[iDS] << ",\n" << "    thetaHat = " << setw(10)
         << thetaH[iDS] << ",  phiHat = "  << setw(10) << phiH[iDS] << ".\n";
      os << "     alphaEM = " << setw(10) << alphaEMSave[iDS]
      << ",  alphaS = " << setw(10) << alphaSSave[iDS] << "    at Q2 = "
      << setw(10) << Q2RenSave[iDS] << ".\n";
  }

  // Impact parameter.
  if (bIsSet) os << "\n Impact parameter b = " << setw(10) << bMPISave
    << " gives enhancement factor = " << setw(10) << enhanceMPISave
    << ".\n";

  // Multiparton interactions and shower evolution.
  if (evolIsSet) os << " Max pT scale for MPI = " << setw(10) << pTmaxMPISave
    << ", ISR = " << setw(10) << pTmaxISRSave << ", FSR = " << setw(10)
    << pTmaxISRSave << ".\n Number of MPI = " << setw(5) << nMPISave
    << ", ISR = " << setw(5) << nISRSave << ", FSRproc = " << setw(5)
    << nFSRinProcSave << ", FSRreson = " << setw(5) << nFSRinResSave
    << ".\n";
       
  // Listing finished.
  os << "\n --------  End PYTHIA Info Listing  --------------------"
     << "----------------" << endl;

}

//--------------------------------------------------------------------------

// Event weight and accumulated weight.

double Info::weight() const { return (abs(lhaStrategySave) == 4)
  ? CONVERTMB2PB * weightSave : weightSave;
}
  
double Info::weightSum() const {return (abs(lhaStrategySave) == 4)
  ? CONVERTMB2PB * wtAccSum : wtAccSum;
}

//--------------------------------------------------------------------------

// List of all hard processes switched on.

vector Info::codesHard() {
  vector codesNow;
  for (map::iterator nTryEntry = nTryM.begin();
    nTryEntry != nTryM.end(); ++nTryEntry)
      codesNow.push_back( nTryEntry->first );
  return codesNow;
}

//--------------------------------------------------------------------------
  
// Print a message the first few times. Insert in database.
 
  void Info::errorMsg(string messageIn, string extraIn, bool showAlways,
    ostream& os) {
   
  // Recover number of times message occured. Also inserts new string.
  int times = messages[messageIn];
  ++messages[messageIn];

  // Print message the first few times.
  if (times < TIMESTOPRINT || showAlways) os << " PYTHIA "
    << messageIn << " " << extraIn << endl;

}

//--------------------------------------------------------------------------

// Provide total number of errors/aborts/warnings experienced to date.

int Info::errorTotalNumber() {

  int nTot = 0;
  for ( map::iterator messageEntry = messages.begin();
    messageEntry != messages.end(); ++messageEntry)
    nTot += messageEntry->second;
  return nTot;

}

//--------------------------------------------------------------------------

// Print statistics on errors/aborts/warnings.

void Info::errorStatistics(ostream& os) {

  // Header.
  os << "\n *-------  PYTHIA Error and Warning Messages Statistics  "
     << "----------------------------------------------------------* \n"
     << " |                                                       "
     << "                                                          | \n"
     << " |  times   message                                      "
     << "                                                          | \n"
     << " |                                                       "
     << "                                                          | \n";

  // Loop over all messages
  map::iterator messageEntry = messages.begin();
  if (messageEntry == messages.end())
    os << " |      0   no errors or warnings to report              "
       << "                                                          | \n";
  while (messageEntry != messages.end()) {
    // Message printout.
    string temp = messageEntry->first;
    int len = temp.length();
    temp.insert( len, max(0, 102 - len), ' ');
    os << " | " << setw(6) << messageEntry->second << "   "
       << temp << " | \n";
    ++messageEntry;
  }

  // Done.
  os << " |                                                       "
     << "                                                          | \n"
     << " *-------  End PYTHIA Error and Warning Messages Statistics"
     << "  ------------------------------------------------------* "
     << endl;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/FJcore.cc0000644000175000017500000050016712357054761014630 0ustar  sunsun// fjcore -- extracted from FastJet v3.0.5 (http://fastjet.fr)
//
// fjcore constitutes a digest of the main FastJet functionality.
// The files fjcore.hh and fjcore.cc are meant to provide easy access to these
// core functions, in the form of single files and without the need of a full
// FastJet installation:
//
//     g++ main.cc fjcore.cc
//
// with main.cc including fjcore.hh.
//
// The results are expected to be identical to those obtained by linking to
// the full FastJet distribution.
//
// NOTE THAT, IN ORDER TO MAKE IT POSSIBLE FOR FJCORE AND THE FULL FASTJET
// TO COEXIST, THE FORMER USES THE "fjcore" NAMESPACE INSTEAD OF "fastjet".
//
// In particular, fjcore provides:
//
//   - access to all native pp and ee algorithms, kt, anti-kt, C/A.
//     For C/A, the NlnN method is available, while anti-kt and kt
//     are limited to the N^2 one (still the fastest for N < 20k particles)
//   - access to selectors, for implementing cuts and selections
//   - access to all functionalities related to pseudojets (e.g. a jet's
//     structure or user-defined information)
//
// Instead, it does NOT provide:
//
//   - jet areas functionality
//   - background estimation
//   - access to other algorithms via plugins
//   - interface to CGAL
//   - fastjet tools, e.g. filters, taggers
//
// If these functionalities are needed, the full FastJet installation must be
// used. The code will be fully compatible, with the sole replacement of the
// header files and of the fjcore namespace with the fastjet one.
//
// fjcore.hh and fjcore.cc are not meant to be human-readable.
// For documentation, see the full FastJet manual and doxygen at http://fastjet.fr
//
// Like FastJet, fjcore is released under the terms of the GNU General Public
// License version 2 (GPLv2). If you use this code as part of work towards a
// scientific publication, whether directly or contained within another program
// (e.g. Delphes, SpartyJet, Rivet, LHC collaboration software frameworks,
// etc.), you should include a citation to
//
//   EPJC72(2012)1896 [arXiv:1111.6097] (FastJet User Manual)
//   and, optionally, Phys.Lett.B641 (2006) 57 [arXiv:hep-ph/0512210]
//
// Copyright (c) 2005-2013, Matteo Cacciari, Gavin P. Salam and Gregory Soyez
//
//----------------------------------------------------------------------
// This file is part of FastJet.
//
//  FastJet is free software; you can redistribute it and/or modify
//  it under the terms of the GNU General Public License as published by
//  the Free Software Foundation; either version 2 of the License, or
//  (at your option) any later version.
//
//  The algorithms that underlie FastJet have required considerable
//  development and are described in hep-ph/0512210. If you use
//  FastJet as part of work towards a scientific publication, please
//  include a citation to the FastJet paper.
//
//  FastJet is distributed in the hope that it will be useful,
//  but WITHOUT ANY WARRANTY; without even the implied warranty of
//  MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
//  GNU General Public License for more details.
//
//  You should have received a copy of the GNU General Public License
//  along with FastJet. If not, see .
//----------------------------------------------------------------------
//
//#include "fjcore.hh"
// For inclusion in Pythia8 line above is replaced by line below.
#include "Pythia8/FJcore.h"
#ifndef __FJCORE_VERSION_HH__
#define __FJCORE_VERSION_HH__
#include
FJCORE_BEGIN_NAMESPACE
const char* fastjet_version = FJCORE_PACKAGE_VERSION;
FJCORE_END_NAMESPACE
#endif // __FJCORE_VERSION_HH__
#ifndef __FJCORE_CLUSTERQUENCE_N2_ICC__
#define __FJCORE_CLUSTERQUENCE_N2_ICC__
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
template void ClusterSequence::_simple_N2_cluster() {
  int n = _jets.size();
  BJ * briefjets = new BJ[n];
  BJ * jetA = briefjets, * jetB;
  for (int i = 0; i< n; i++) {
    _bj_set_jetinfo(jetA, i);
    jetA++; // move on to next entry of briefjets
  }
  BJ * tail = jetA; // a semaphore for the end of briefjets
  BJ * head = briefjets; // a nicer way of naming start
  for (jetA = head + 1; jetA != tail; jetA++) {
    _bj_set_NN_crosscheck(jetA, head, jetA);
  }
  double * diJ = new double[n];
  jetA = head;
  for (int i = 0; i < n; i++) {
    diJ[i] = _bj_diJ(jetA);
    jetA++; // have jetA follow i
  }
  int history_location = n-1;
  while (tail != head) {
    double diJ_min = diJ[0];
    int diJ_min_jet = 0;
    for (int i = 1; i < n; i++) {
      if (diJ[i] < diJ_min) {diJ_min_jet = i; diJ_min  = diJ[i];}
    }
    history_location++;
    jetA = & briefjets[diJ_min_jet];
    jetB = static_cast(jetA->NN);
    diJ_min *= _invR2;
    if (jetB != NULL) {
      if (jetA < jetB) {std::swap(jetA,jetB);}
      int nn; // new jet index
      _do_ij_recombination_step(jetA->_jets_index, jetB->_jets_index, diJ_min, nn);
      _bj_set_jetinfo(jetB, nn);
    } else {
      _do_iB_recombination_step(jetA->_jets_index, diJ_min);
    }
    tail--; n--;
    *jetA = *tail;
    diJ[jetA - head] = diJ[tail-head];
    for (BJ * jetI = head; jetI != tail; jetI++) {
      if (jetI->NN == jetA || jetI->NN == jetB) {
	_bj_set_NN_nocross(jetI, head, tail);
	diJ[jetI-head] = _bj_diJ(jetI); // update diJ
      }
      if (jetB != NULL) {
	double dist = _bj_dist(jetI,jetB);
	if (dist < jetI->NN_dist) {
	  if (jetI != jetB) {
	    jetI->NN_dist = dist;
	    jetI->NN = jetB;
	    diJ[jetI-head] = _bj_diJ(jetI); // update diJ...
	  }
	}
	if (dist < jetB->NN_dist) {
	  if (jetI != jetB) {
	    jetB->NN_dist = dist;
	    jetB->NN      = jetI;}
	}
      }
      if (jetI->NN == tail) {jetI->NN = jetA;}
    }
    if (jetB != NULL) {diJ[jetB-head] = _bj_diJ(jetB);}
  }
  delete[] diJ;
  delete[] briefjets;
}
FJCORE_END_NAMESPACE
#endif // __FJCORE_CLUSTERQUENCE_N2_ICC__
#ifndef __FJCORE_DYNAMICNEARESTNEIGHBOURS_HH__
#define __FJCORE_DYNAMICNEARESTNEIGHBOURS_HH__
#include
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class EtaPhi {
public:
  double first, second;
  EtaPhi() {}
  EtaPhi(double a, double b) {first = a; second = b;}
  void sanitize() {
    if (second <  0)     second += twopi;
    if (second >= twopi) second -= twopi;
  }
};
class DnnError {
public:
  DnnError() {;};
  DnnError(const std::string & message_in) {
    _message = message_in; std::cerr << message_in << std::endl;};
  std::string message() const {return _message;};
private:
  std::string _message;
};
class DynamicNearestNeighbours {
public:
  virtual int NearestNeighbourIndex(const int & ii) const = 0;
  virtual double NearestNeighbourDistance(const int & ii) const = 0;
  virtual bool Valid(const int & index) const = 0;
  virtual void RemoveAndAddPoints(const std::vector & indices_to_remove,
			  const std::vector & points_to_add,
			  std::vector & indices_added,
			  std::vector & indices_of_updated_neighbours) = 0;
  inline void RemovePoint (const int & index,
			   std::vector & indices_of_updated_neighbours) {
    std::vector indices_added;
    std::vector points_to_add;
    std::vector indices_to_remove(1);
    indices_to_remove[0] = index;
    RemoveAndAddPoints(indices_to_remove, points_to_add, indices_added,
		       indices_of_updated_neighbours
		       );};
  inline void RemoveCombinedAddCombination(
			const int & index1, const int & index2,
			const EtaPhi & newpoint,
			int & index3,
			std::vector & indices_of_updated_neighbours) {
    std::vector indices_added(1);
    std::vector points_to_add(1);
    std::vector indices_to_remove(2);
    indices_to_remove[0] = index1;
    indices_to_remove[1] = index2;
    points_to_add[0] = newpoint;
    RemoveAndAddPoints(indices_to_remove, points_to_add, indices_added,
		       indices_of_updated_neighbours
		       );
    index3 = indices_added[0];
  };
  virtual ~DynamicNearestNeighbours () {}
};
FJCORE_END_NAMESPACE
#endif // __FJCORE_DYNAMICNEARESTNEIGHBOURS_HH__
#ifndef __FJCORE_SEARCHTREE_HH__
#define __FJCORE_SEARCHTREE_HH__
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
template class SearchTree {
public:
  class Node;
  class circulator;
  class const_circulator;
  SearchTree(const std::vector & init);
  SearchTree(const std::vector & init, unsigned int max_size);
  void remove(unsigned node_index);
  void remove(typename SearchTree::Node * node);
  void remove(typename SearchTree::circulator & circ);
  circulator insert(const T & value);
  const Node & operator[](int i) const {return _nodes[i];};
  unsigned int size() const {return _nodes.size() - _available_nodes.size();}
  void verify_structure();
  void verify_structure_linear() const;
  void verify_structure_recursive(const Node * , const Node * , const Node * ) const;
  void print_elements();
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
  inline unsigned int max_depth() const {return _max_depth;};
#else
  inline unsigned int max_depth() const {return 0;};
#endif
  int loc(const Node * node) const ;
  Node * _find_predecessor(const Node *);
  Node * _find_successor(const Node *);
  const Node & operator[](unsigned int i) const {return _nodes[i];};
  const_circulator somewhere() const;
  circulator somewhere();
private:
  void _initialize(const std::vector & init);
  std::vector _nodes;
  std::vector _available_nodes;
  Node * _top_node;
  unsigned int _n_removes;
  void _do_initial_connections(unsigned int this_one, unsigned int scale,
			       unsigned int left_edge, unsigned int right_edge,
			       unsigned int depth);
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
  unsigned int _max_depth;
#endif
};
template class SearchTree::Node{
public:
  Node() {}; /// default constructor
  bool treelinks_null() const {
    return ((parent==0) && (left==0) && (right==0));};
  inline void nullify_treelinks() {
    parent = NULL;
    left   = NULL;
    right  = NULL;
  };
  void reset_parents_link_to_me(Node * XX);
  T      value;
  Node * left;
  Node * right;
  Node * parent;
  Node * successor;
  Node * predecessor;
};
template void SearchTree::Node::reset_parents_link_to_me(typename SearchTree::Node * XX) {
  if (parent == NULL) {return;}
  if (parent->right == this) {parent->right = XX;}
  else {parent->left = XX;}
}
template class SearchTree::circulator{
public:
  template friend class SearchTree::const_circulator;
  friend class SearchTree;
  circulator() : _node(NULL) {}
  circulator(Node * node) : _node(node) {}
  const T * operator->() const {return &(_node->value);}
  T * operator->() {return &(_node->value);}
  const T & operator*() const {return _node->value;}
  T & operator*() {return _node->value;}
  circulator & operator++() {
    _node = _node->successor;
    return *this;}
  circulator operator++(int) {
    circulator tmp = *this;
    _node = _node->successor;
    return tmp;}
  circulator & operator--() {
    _node = _node->predecessor;
    return *this;}
  circulator operator--(int) {
    circulator tmp = *this;
    _node = _node->predecessor;
    return tmp;}
  circulator next() const {
    return circulator(_node->successor);}
  circulator previous() const {
    return circulator(_node->predecessor);}
  bool operator!=(const circulator & other) const {return other._node != _node;}
  bool operator==(const circulator & other) const {return other._node == _node;}
private:
  Node * _node;
};
template class SearchTree::const_circulator{
public:
  const_circulator() : _node(NULL) {}
  const_circulator(const Node * node) : _node(node) {}
  const_circulator(const circulator & circ) :_node(circ._node) {}
  const T * operator->() {return &(_node->value);}
  const T & operator*() const {return _node->value;}
  const_circulator & operator++() {
    _node = _node->successor;
    return *this;}
  const_circulator operator++(int) {
    const_circulator tmp = *this;
    _node = _node->successor;
    return tmp;}
  const_circulator & operator--() {
    _node = _node->predecessor;
    return *this;}
  const_circulator operator--(int) {
    const_circulator tmp = *this;
    _node = _node->predecessor;
    return tmp;}
  const_circulator next() const {
    return const_circulator(_node->successor);}
  const_circulator previous() const {
    return const_circulator(_node->predecessor);}
  bool operator!=(const const_circulator & other) const {return other._node != _node;}
  bool operator==(const const_circulator & other) const {return other._node == _node;}
private:
  const Node * _node;
};
template SearchTree::SearchTree(const std::vector & init,
					    unsigned int max_size) :
  _nodes(max_size) {
  _available_nodes.reserve(max_size);
  _available_nodes.resize(max_size - init.size());
  for (unsigned int i = init.size(); i < max_size; i++) {
    _available_nodes[i-init.size()] = &(_nodes[i]);
  }
  _initialize(init);
}
template SearchTree::SearchTree(const std::vector & init) :
  _nodes(init.size()), _available_nodes(0) {
  _available_nodes.reserve(init.size());
  _initialize(init);
}
template void SearchTree::_initialize(const std::vector & init) {
  _n_removes = 0;
  unsigned n = init.size();
  assert(n>=1);
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
  _max_depth     = 0;
#endif
  for (unsigned int i = 1; i inline  int SearchTree::loc(const Node * node) const {return node == NULL?
      -999 : node - &(_nodes[0]);}
template void SearchTree::_do_initial_connections(
                                         unsigned int this_one,
					 unsigned int scale,
					 unsigned int left_edge,
					 unsigned int right_edge,
					 unsigned int depth
					 ) {
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
  _max_depth = max(depth, _max_depth);
#endif
  unsigned int ref_new_scale = (scale+1)/2;
  unsigned new_scale = ref_new_scale;
  bool     did_child  = false;
  while(true) {
    int left = this_one - new_scale; // be careful here to use signed int...
    if (left >= static_cast(left_edge)
	                && _nodes[left].treelinks_null() ) {
      _nodes[left].parent = &(_nodes[this_one]);
      _nodes[this_one].left = &(_nodes[left]);
      _do_initial_connections(left, new_scale, left_edge, this_one, depth+1);
      did_child = true;
      break;
    }
    unsigned int old_new_scale = new_scale;
    new_scale = (old_new_scale + 1)/2;
    if (new_scale == old_new_scale) break;
  }
  if (!did_child) {_nodes[this_one].left = NULL;}
  new_scale = ref_new_scale;
  did_child  = false;
  while(true) {
    unsigned int right = this_one + new_scale;
    if (right < right_edge  && _nodes[right].treelinks_null()) {
      _nodes[right].parent = &(_nodes[this_one]);
      _nodes[this_one].right = &(_nodes[right]);
      _do_initial_connections(right, new_scale, this_one+1,right_edge,depth+1);
      did_child = true;
      break;
    }
    unsigned int old_new_scale = new_scale;
    new_scale = (old_new_scale + 1)/2;
    if (new_scale == old_new_scale) break;
  }
  if (!did_child) {_nodes[this_one].right = NULL;}
}
template void SearchTree::remove(unsigned int node_index) {
  remove(&(_nodes[node_index]));
}
template void SearchTree::remove(circulator & circ) {
  remove(circ._node);
}
template void SearchTree::remove(typename SearchTree::Node * node) {
  assert(size() > 1); // switch this to throw...?
  assert(!node->treelinks_null());
  node->predecessor->successor = node->successor;
  node->successor->predecessor = node->predecessor;
  if (node->left == NULL && node->right == NULL) {
    node->reset_parents_link_to_me(NULL);
  } else if (node->left != NULL && node->right == NULL){
    node->reset_parents_link_to_me(node->left);
    node->left->parent = node->parent;
    if (_top_node == node) {_top_node = node->left;}
  } else if (node->left == NULL && node->right != NULL){
    node->reset_parents_link_to_me(node->right);
    node->right->parent = node->parent;
    if (_top_node == node) {_top_node = node->right;}
  } else {
    Node * replacement;
    bool use_predecessor = (_n_removes % 2 == 1);
    if (use_predecessor) {
      replacement = node->predecessor;
      assert(replacement->right == NULL); // guaranteed if it's our predecessor
      if (replacement != node->left) {
	if (replacement->left != NULL) {
	  replacement->left->parent = replacement->parent;}
	replacement->reset_parents_link_to_me(replacement->left);
	replacement->left   = node->left;
      }
      replacement->parent = node->parent;
      replacement->right  = node->right;
    } else {
      replacement = node->successor;
      assert(replacement->left == NULL); // guaranteed if it's our successor
      if (replacement != node->right) {
	if (replacement->right != NULL) {
	  replacement->right->parent = replacement->parent;}
	replacement->reset_parents_link_to_me(replacement->right);
	replacement->right  = node->right;
      }
      replacement->parent = node->parent;
      replacement->left   = node->left;
    }
    node->reset_parents_link_to_me(replacement);
    if (node->left  != replacement) {node->left->parent  = replacement;}
    if (node->right != replacement) {node->right->parent = replacement;}
    if (_top_node == node) {_top_node = replacement;}
  }
  node->nullify_treelinks();
  node->predecessor = NULL;
  node->successor   = NULL;
  _n_removes++;
  _available_nodes.push_back(node);
}
template typename SearchTree::circulator SearchTree::insert(const T & value) {
  assert(_available_nodes.size() > 0);
  Node * node = _available_nodes.back();
  _available_nodes.pop_back();
  node->value = value;
  Node * location = _top_node;
  Node * old_location = NULL;
  bool             on_left = true; // (init not needed -- but soothes g++4)
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
  unsigned int depth = 0;
#endif
  while(location != NULL) {
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
    depth++;
#endif
    old_location = location;
    on_left = value < location->value;
    if (on_left) {location = location->left;}
    else {location = location->right;}
  }
#ifdef __FJCORE_SEARCHTREE_TRACK_DEPTH
  _max_depth = max(depth, _max_depth);
#endif
  node->parent = old_location;
  if (on_left) {node->parent->left = node;}
  else {node->parent->right = node;}
  node->left = NULL;
  node->right = NULL;
  node->predecessor = _find_predecessor(node);
  if (node->predecessor != NULL) {
    node->successor = node->predecessor->successor;
    node->predecessor->successor = node;
    node->successor->predecessor = node;
  } else {
    node->successor = _find_successor(node);
    assert(node->successor != NULL); // can only happen if we're sole element
    node->predecessor = node->successor->predecessor;
    node->successor->predecessor = node;
    node->predecessor->successor = node;
  }
  return circulator(node);
}
template void SearchTree::verify_structure() {
  verify_structure_linear();
  const Node * left_limit = _top_node;
  while (left_limit->left != NULL) {left_limit = left_limit->left;}
  const Node * right_limit = _top_node;
  while (right_limit->right != NULL) {right_limit = right_limit->right;}
  verify_structure_recursive(_top_node, left_limit, right_limit);
}
template void SearchTree::verify_structure_recursive(
		      const typename SearchTree::Node * element,
		      const typename SearchTree::Node * left_limit,
		      const typename SearchTree::Node * right_limit)  const {
  assert(!(element->value < left_limit->value));
  assert(!(right_limit->value < element->value));
  const Node * left = element->left;
  if (left != NULL) {
    assert(!(element->value < left->value));
    if (left != left_limit) {
      verify_structure_recursive(left, left_limit, element);}
  }
  const Node * right = element->right;
  if (right != NULL) {
    assert(!(right->value < element->value));
    if (right != right_limit) {
      verify_structure_recursive(right, element, right_limit);}
  }
}
template void SearchTree::verify_structure_linear() const {
  unsigned n_top = 0;
  unsigned n_null = 0;
  for(unsigned i = 0; i < _nodes.size(); i++) {
    const typename SearchTree::Node * node = &(_nodes[i]);
    if (node->treelinks_null()) {n_null++; continue;}
    if (node->parent == NULL) {
      n_top++;
    } else {
      assert((node->parent->left == node) ^ (node->parent->right == node));
    }
    if (node->left != NULL) {
      assert(!(node->value < node->left->value ));}
    if (node->right != NULL) {
      assert(!(node->right->value < node->value ));}
  }
  assert(n_top == 1 || (n_top == 0 && size() <= 1) );
  assert(n_null == _available_nodes.size() ||
	 (n_null == _available_nodes.size() + 1 && size() == 1));
}
template typename SearchTree::Node * SearchTree::_find_predecessor(const typename SearchTree::Node * node) {
  typename SearchTree::Node * newnode;
  if (node->left != NULL) {
    newnode = node->left;
    while(newnode->right != NULL) {newnode = newnode->right;}
    return newnode;
  } else {
    const typename SearchTree::Node * lastnode = node;
    newnode = node->parent;
    while(newnode != NULL) {
      if (newnode->right == lastnode) {return newnode;}
      lastnode = newnode;
      newnode = newnode->parent;
    }
    return newnode;
  }
}
template typename SearchTree::Node * SearchTree::_find_successor(const typename SearchTree::Node * node) {
  typename SearchTree::Node * newnode;
  if (node->right != NULL) {
    newnode = node->right;
    while(newnode->left != NULL) {newnode = newnode->left;}
    return newnode;
  } else {
    const typename SearchTree::Node * lastnode = node;
    newnode = node->parent;
    while(newnode != NULL) {
      if (newnode->left == lastnode) {return newnode;}
      lastnode = newnode;
      newnode = newnode->parent;
    }
    return newnode;
  }
}
template void SearchTree::print_elements() {
  typename SearchTree::Node * base_node = &(_nodes[0]);
  typename SearchTree::Node * node = base_node;
  int n = _nodes.size();
  for(; node - base_node < n ; node++) {
    printf("%4d parent:%4d left:%4d right:%4d pred:%4d succ:%4d value:%10.6f\n",loc(node), loc(node->parent), loc(node->left), loc(node->right), loc(node->predecessor),loc(node->successor),node->value);
  }
}
template typename SearchTree::circulator SearchTree::somewhere() {
  return circulator(_top_node);
}
template typename SearchTree::const_circulator SearchTree::somewhere() const {
  return const_circulator(_top_node);
}
FJCORE_END_NAMESPACE
#endif // __FJCORE_SEARCHTREE_HH__
#ifndef __FJCORE_MINHEAP__HH__
#define __FJCORE_MINHEAP__HH__
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class MinHeap {
public:
  MinHeap (const std::vector & values, unsigned int max_size) :
    _heap(max_size) {_initialise(values);};
  MinHeap (const std::vector & values) :
    _heap(values.size()) {_initialise(values);};
  inline unsigned int minloc() const {
    return (_heap[0].minloc) - &(_heap[0]);};
  inline double       minval() const {return _heap[0].minloc->value;};
  inline double operator[](int i) const {return _heap[i].value;};
  void remove(unsigned int loc) {
    update(loc,std::numeric_limits::max());};
  void update(unsigned int, double);
private:
  struct ValueLoc{
    double value;
    ValueLoc * minloc;
  };
  std::vector _heap;
  void _initialise(const std::vector & values);
};
FJCORE_END_NAMESPACE
#endif // __FJCORE_MINHEAP__HH__
#ifndef __FJCORE_CLOSESTPAIR2DBASE__HH__
#define __FJCORE_CLOSESTPAIR2DBASE__HH__
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class Coord2D {
public:
  double x, y;
  Coord2D() {};
  Coord2D(double a, double b): x(a), y(b) {};
  Coord2D operator-(const Coord2D & other) const {
    return Coord2D(x - other.x,  y - other.y);};
  Coord2D operator+(const Coord2D & other) const {
    return Coord2D(x + other.x,  y + other.y);};
  Coord2D operator*(double factor) const {return Coord2D(factor*x,factor*y);};
  friend Coord2D operator*(double factor, const Coord2D & coord) {
    return Coord2D(factor*coord.x,factor*coord.y);
  }
  Coord2D operator/(double divisor) const {
    return Coord2D(x / divisor,  y / divisor);};
  friend double distance2(const Coord2D & a, const Coord2D & b) {
    double dx = a.x - b.x, dy = a.y-b.y;
    return dx*dx+dy*dy;
  };
  double distance2(const Coord2D & b) const {
    double dx = x - b.x, dy = y-b.y;
    return dx*dx+dy*dy;
  };
};
class ClosestPair2DBase {
public:
  virtual void closest_pair(unsigned int & ID1, unsigned int & ID2,
			    double & distance2) const = 0;
  virtual void remove(unsigned int ID) = 0;
  virtual unsigned int insert(const Coord2D & position) = 0;
  virtual unsigned int replace(unsigned int ID1, unsigned int ID2,
			       const Coord2D & position) {
    remove(ID1);
    remove(ID2);
    unsigned new_ID = insert(position);
    return(new_ID);
  };
  virtual void replace_many(const std::vector & IDs_to_remove,
		       const std::vector & new_positions,
		       std::vector & new_IDs) {
    for(unsigned i = 0; i < IDs_to_remove.size(); i++) {
      remove(IDs_to_remove[i]);}
    new_IDs.resize(0);
    for(unsigned i = 0; i < new_positions.size(); i++) {
      new_IDs.push_back(insert(new_positions[i]));}
  }
  virtual unsigned int size() = 0;
  virtual ~ClosestPair2DBase() {};
};
FJCORE_END_NAMESPACE
#endif // __FJCORE_CLOSESTPAIR2DBASE__HH__
#ifndef __FJCORE_CLOSESTPAIR2D__HH__
#define __FJCORE_CLOSESTPAIR2D__HH__
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
class ClosestPair2D : public ClosestPair2DBase {
public:
  ClosestPair2D(const std::vector & positions,
		const Coord2D & left_corner, const Coord2D & right_corner) {
    _initialize(positions, left_corner, right_corner, positions.size());
  };
  ClosestPair2D(const std::vector & positions,
		const Coord2D & left_corner, const Coord2D & right_corner,
		const unsigned int max_size) {
    _initialize(positions, left_corner, right_corner, max_size);
  };
  void closest_pair(unsigned int & ID1, unsigned int & ID2,
		    double & distance2) const;
  void remove(unsigned int ID);
  unsigned int insert(const Coord2D &);
  virtual unsigned int replace(unsigned int ID1, unsigned int ID2,
			       const Coord2D & position);
  virtual void replace_many(const std::vector & IDs_to_remove,
			    const std::vector & new_positions,
			    std::vector & new_IDs);
  inline void print_tree_depths(std::ostream & outdev) const {
    outdev    << _trees[0]->max_depth() << " "
	      << _trees[1]->max_depth() << " "
	      << _trees[2]->max_depth() << "\n";
  };
  unsigned int size();
private:
  void _initialize(const std::vector & positions,
	      const Coord2D & left_corner, const Coord2D & right_corner,
	      const unsigned int max_size);
  static const unsigned int _nshift = 3;
  class Point; // will be defined below
  template class triplet {
  public:
    inline const T & operator[](unsigned int i) const {return _contents[i];};
    inline       T & operator[](unsigned int i)       {return _contents[i];};
  private:
    T _contents[_nshift];
  };
  class Shuffle {
  public:
    unsigned int x, y;
    Point * point;
    bool operator<(const Shuffle &) const;
    void operator+=(unsigned int shift) {x += shift; y+= shift;};
  };
  typedef SearchTree     Tree;
  typedef Tree::circulator        circulator;
  typedef Tree::const_circulator  const_circulator;
  triplet >  _trees;
  std::auto_ptr _heap;
  std::vector     _points;
  std::stack    _available_points;
  std::vector   _points_under_review;
  static const unsigned int _remove_heap_entry = 1;
  static const unsigned int _review_heap_entry = 2;
  static const unsigned int _review_neighbour  = 4;
  void _add_label(Point * point, unsigned int review_flag);
  void _set_label(Point * point, unsigned int review_flag);
  void _deal_with_points_to_review();
  void _remove_from_search_tree(Point * point_to_remove);
  void _insert_into_search_tree(Point * new_point);
  void _point2shuffle(Point & , Shuffle & , unsigned int shift);
  Coord2D _left_corner;
  double _range;
  int _ID(const Point *) const;
  triplet _shifts;     // absolute shifts
  triplet _rel_shifts; // shifts relative to previous shift
  unsigned int _cp_search_range;
};
class ClosestPair2D::Point {
public:
  Coord2D coord;
  Point * neighbour;
  double  neighbour_dist2;
  triplet circ;
  unsigned int review_flag;
  double distance2(const Point & other) const {
    return coord.distance2(other.coord);
  };
};
inline bool floor_ln2_less(unsigned x, unsigned y) {
  if (x>y) return false;
  return (x < (x^y)); // beware of operator precedence...
}
inline int ClosestPair2D::_ID(const Point * point) const {
  return point - &(_points[0]);
}
inline unsigned int ClosestPair2D::size() {
  return _points.size() - _available_points.size();
}
FJCORE_END_NAMESPACE
#endif // __FJCORE_CLOSESTPAIR2D__HH__
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
const unsigned int huge_unsigned = 4294967295U;
const unsigned int twopow31      = 2147483648U;
using namespace std;
void ClosestPair2D::_point2shuffle(Point & point, Shuffle & shuffle,
				  unsigned int shift) {
  Coord2D renorm_point = (point.coord - _left_corner)/_range;
  assert(renorm_point.x >=0);
  assert(renorm_point.x <=1);
  assert(renorm_point.y >=0);
  assert(renorm_point.y <=1);
  shuffle.x = static_cast(twopow31 * renorm_point.x) + shift;
  shuffle.y = static_cast(twopow31 * renorm_point.y) + shift;
  shuffle.point = &point;
}
bool ClosestPair2D::Shuffle::operator<(const Shuffle & q) const {
  if (floor_ln2_less(x ^ q.x, y ^ q.y)) {
    return (y < q.y);
  } else {
    return (x < q.x);
  }
}
void ClosestPair2D::_initialize(const std::vector & positions,
			     const Coord2D & left_corner,
			     const Coord2D & right_corner,
			     unsigned int max_size) {
  unsigned int n_positions = positions.size();
  assert(max_size >= n_positions);
  _points.resize(max_size);
  for (unsigned int i = n_positions; i < max_size; i++) {
    _available_points.push(&(_points[i]));
  }
  _left_corner = left_corner;
  _range       = max((right_corner.x - left_corner.x),
		     (right_corner.y - left_corner.y));
  vector shuffles(n_positions);
  for (unsigned int i = 0; i < n_positions; i++) {
    _points[i].coord = positions[i];
    _points[i].neighbour_dist2 = numeric_limits::max();
    _points[i].review_flag = 0;
    _point2shuffle(_points[i], shuffles[i], 0);
  }
  for (unsigned ishift = 0; ishift < _nshift; ishift++) {
   _shifts[ishift] = static_cast(((twopow31*1.0)*ishift)/_nshift);
    if (ishift == 0) {_rel_shifts[ishift] = 0;}
    else {_rel_shifts[ishift] = _shifts[ishift] - _shifts[ishift-1];}
  }
  _cp_search_range = 30;
  _points_under_review.reserve(_nshift * _cp_search_range);
  for (unsigned int ishift = 0; ishift < _nshift; ishift++) {
    if (ishift > 0) {
      unsigned rel_shift = _rel_shifts[ishift];
      for (unsigned int i = 0; i < shuffles.size(); i++) {
	shuffles[i] += rel_shift; }
    }
    sort(shuffles.begin(), shuffles.end());
    _trees[ishift] = auto_ptr(new Tree(shuffles, max_size));
    circulator circ = _trees[ishift]->somewhere(), start=circ;
    unsigned int CP_range = min(_cp_search_range, n_positions-1);
    do {
      Point * this_point = circ->point;
      this_point->circ[ishift] = circ;
      circulator other = circ;
      for (unsigned i=0; i < CP_range; i++) {
	++other;
	double dist2 = this_point->distance2(*other->point);
	if (dist2 < this_point->neighbour_dist2) {
	  this_point->neighbour_dist2 = dist2;
	  this_point->neighbour       = other->point;
	}
      }
    } while (++circ != start);
  }
  vector mindists2(n_positions);
  for (unsigned int i = 0; i < n_positions; i++) {
    mindists2[i] = _points[i].neighbour_dist2;}
  _heap = auto_ptr(new MinHeap(mindists2, max_size));
}
void ClosestPair2D::closest_pair(unsigned int & ID1, unsigned int & ID2,
				 double & distance2) const {
  ID1 = _heap->minloc();
  ID2 = _ID(_points[ID1].neighbour);
  distance2 = _points[ID1].neighbour_dist2;
  if (ID1 > ID2) std::swap(ID1,ID2);
}
inline void ClosestPair2D::_add_label(Point * point, unsigned int review_flag) {
  if (point->review_flag == 0) _points_under_review.push_back(point);
  point->review_flag |= review_flag;
}
inline void ClosestPair2D::_set_label(Point * point, unsigned int review_flag) {
  if (point->review_flag == 0) _points_under_review.push_back(point);
  point->review_flag = review_flag;
}
void ClosestPair2D::remove(unsigned int ID) {
  Point * point_to_remove = & (_points[ID]);
  _remove_from_search_tree(point_to_remove);
  _deal_with_points_to_review();
}
void ClosestPair2D::_remove_from_search_tree(Point * point_to_remove) {
  _available_points.push(point_to_remove);
  _set_label(point_to_remove, _remove_heap_entry);
  unsigned int CP_range = min(_cp_search_range, size()-1);
  for (unsigned int ishift = 0; ishift < _nshift; ishift++) {
    circulator removed_circ = point_to_remove->circ[ishift];
    circulator right_end = removed_circ.next();
    _trees[ishift]->remove(removed_circ);
    circulator left_end  = right_end, orig_right_end = right_end;
    for (unsigned int i = 0; i < CP_range; i++) {left_end--;}
    if (size()-1 < _cp_search_range) {
      left_end--; right_end--;
    }
    do {
      Point * left_point = left_end->point;
      if (left_point->neighbour == point_to_remove) {
	// we'll deal with it later...
	_add_label(left_point, _review_neighbour);
      } else {
	// check to see if right point has become its closest neighbour
	double dist2 = left_point->distance2(*right_end->point);
	if (dist2 < left_point->neighbour_dist2) {
	  left_point->neighbour = right_end->point;
	  left_point->neighbour_dist2 = dist2;
	  // NB: (LESSER) REVIEW NEEDED HERE TOO...
	  _add_label(left_point, _review_heap_entry);
	}
      }
      ++right_end;
    } while (++left_end != orig_right_end);
  } // ishift...
}
void ClosestPair2D::_deal_with_points_to_review() {
  unsigned int CP_range = min(_cp_search_range, size()-1);
  while(_points_under_review.size() > 0) {
    Point * this_point = _points_under_review.back();
    _points_under_review.pop_back();
    if (this_point->review_flag & _remove_heap_entry) {
      assert(!(this_point->review_flag ^ _remove_heap_entry));
      _heap->remove(_ID(this_point));
    }
    else {
      if (this_point->review_flag & _review_neighbour) {
	this_point->neighbour_dist2 = numeric_limits::max();
	// among all three shifts
	for (unsigned int ishift = 0; ishift < _nshift; ishift++) {
	  circulator other = this_point->circ[ishift];
	  // among points within CP_range
	  for (unsigned i=0; i < CP_range; i++) {
	    ++other;
	    double dist2 = this_point->distance2(*other->point);
	    if (dist2 < this_point->neighbour_dist2) {
	      this_point->neighbour_dist2 = dist2;
	      this_point->neighbour       = other->point;
	    }
	  }
	}
      }
      _heap->update(_ID(this_point), this_point->neighbour_dist2);
    }
    this_point->review_flag = 0;
  }
}
unsigned int ClosestPair2D::insert(const Coord2D & new_coord) {
  assert(_available_points.size() > 0);
  Point * new_point = _available_points.top();
  _available_points.pop();
  new_point->coord = new_coord;
  _insert_into_search_tree(new_point);
  _deal_with_points_to_review();
  return _ID(new_point);
}
unsigned int ClosestPair2D::replace(unsigned int ID1, unsigned int ID2,
				    const Coord2D & position) {
  Point * point_to_remove = & (_points[ID1]);
  _remove_from_search_tree(point_to_remove);
  point_to_remove = & (_points[ID2]);
  _remove_from_search_tree(point_to_remove);
  Point * new_point = _available_points.top();
  _available_points.pop();
  new_point->coord = position;
  _insert_into_search_tree(new_point);
  _deal_with_points_to_review();
  return _ID(new_point);
}
void ClosestPair2D::replace_many(
                  const std::vector & IDs_to_remove,
		  const std::vector & new_positions,
		  std::vector & new_IDs) {
  for (unsigned int i = 0; i < IDs_to_remove.size(); i++) {
    _remove_from_search_tree(& (_points[IDs_to_remove[i]]));
  }
  new_IDs.resize(0);
  for (unsigned int i = 0; i < new_positions.size(); i++) {
    Point * new_point = _available_points.top();
    _available_points.pop();
    new_point->coord = new_positions[i];
    _insert_into_search_tree(new_point);
    new_IDs.push_back(_ID(new_point));
  }
  _deal_with_points_to_review();
}
void ClosestPair2D::_insert_into_search_tree(Point * new_point) {
  _set_label(new_point, _review_heap_entry);
  new_point->neighbour_dist2 = numeric_limits::max();
  unsigned int CP_range = min(_cp_search_range, size()-1);
  for (unsigned ishift = 0; ishift < _nshift; ishift++) {
    Shuffle new_shuffle;
    _point2shuffle(*new_point, new_shuffle, _shifts[ishift]);
    circulator new_circ = _trees[ishift]->insert(new_shuffle);
    new_point->circ[ishift] = new_circ;
    circulator right_edge = new_circ; right_edge++;
    circulator left_edge  = new_circ;
    for (unsigned int i = 0; i < CP_range; i++) {left_edge--;}
    do {
      Point * left_point  = left_edge->point;
      Point * right_point = right_edge->point;
      double new_dist2 = left_point->distance2(*new_point);
      if (new_dist2 < left_point->neighbour_dist2) {
	left_point->neighbour_dist2 = new_dist2;
	left_point->neighbour       = new_point;
	_add_label(left_point, _review_heap_entry);
      }
      new_dist2 = new_point->distance2(*right_point);
      if (new_dist2 < new_point->neighbour_dist2) {
	new_point->neighbour_dist2 = new_dist2;
	new_point->neighbour = right_point;
      }
      if (left_point->neighbour == right_point) {
	_add_label(left_point, _review_neighbour);
      }
      right_edge++;
    } while (++left_edge != new_circ);
  }
}
FJCORE_END_NAMESPACE
#include
#include
#include
#include
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
std::ostream * ClusterSequence::_fastjet_banner_ostr = &cout;
ClusterSequence::~ClusterSequence () {
  if (_structure_shared_ptr()){
    ClusterSequenceStructure* csi = dynamic_cast(_structure_shared_ptr());
    assert(csi != NULL);
    csi->set_associated_cs(NULL);
    if (_deletes_self_when_unused) {
      _structure_shared_ptr.set_count(_structure_shared_ptr.use_count()
				        + _structure_use_count_after_construction);
    }
  }
}
void ClusterSequence::signal_imminent_self_deletion() const {
  assert(_deletes_self_when_unused);
  _deletes_self_when_unused = false;
}
void ClusterSequence::_initialise_and_run (
				  const JetDefinition & jet_def_in,
				  const bool & writeout_combinations) {
  _decant_options(jet_def_in, writeout_combinations);
  _initialise_and_run_no_decant();
}
void ClusterSequence::_initialise_and_run_no_decant () {
  _fill_initial_history();
  if (n_particles() == 0) return;
  if (_jet_algorithm == plugin_algorithm) {
    _plugin_activated = true;
    _jet_def.plugin()->run_clustering( (*this) );
    _plugin_activated = false;
    _update_structure_use_count();
    return;
  } else if (_jet_algorithm == ee_kt_algorithm ||
	     _jet_algorithm == ee_genkt_algorithm) {
    _strategy = N2Plain;
    if (_jet_algorithm == ee_kt_algorithm) {
      assert(_Rparam > 2.0);
      _invR2 = 1.0;
    } else {
      if (_Rparam > pi) {
	// choose a value that ensures that back-to-back particles will
	// always recombine
	//_R2 = 4.0000000000001;
	_R2 = 2 * ( 3.0 + cos(_Rparam) );
      } else {
	_R2    = 2 * ( 1.0 - cos(_Rparam) );
      }
      _invR2 = 1.0/_R2;
    }
    _simple_N2_cluster_EEBriefJet();
    return;
  } else if (_jet_algorithm == undefined_jet_algorithm) {
    throw Error("A ClusterSequence cannot be created with an uninitialised JetDefinition");
  }
  if (_strategy == Best) {
    int N = _jets.size();
    if (min(1.0,max(0.1,_Rparam)*3.3)*N <= 30) {
      _strategy = N2Plain;
    } else if (N > 6200/pow(_Rparam,2.0) && _jet_def.jet_algorithm() == cambridge_algorithm) {
      _strategy = NlnNCam;
#ifndef __FJCORE_DROP_CGAL
    } else if ((N > 16000/pow(_Rparam,1.15) && _jet_def.jet_algorithm() != antikt_algorithm)
	       || N > 35000/pow(_Rparam,1.15)) {
      _strategy = NlnN;
#endif  // __FJCORE_DROP_CGAL
    } else if (N <= 450) {
      _strategy = N2Tiled;
    } else {
      _strategy = N2MinHeapTiled;
    }
  }
  if (_Rparam >= twopi) {
    if (   _strategy == NlnN
	|| _strategy == NlnN3pi
	|| _strategy == NlnNCam
	|| _strategy == NlnNCam2pi2R
	|| _strategy == NlnNCam4pi) {
#ifdef __FJCORE_DROP_CGAL
      _strategy = N2MinHeapTiled;
#else
      _strategy = NlnN4pi;
#endif
    }
    if (_jet_def.strategy() != Best && _strategy != _jet_def.strategy()) {
      ostringstream oss;
      oss << "Cluster strategy " << strategy_string(_jet_def.strategy())
	  << " automatically changed to " << strategy_string()
	  << " because the former is not supported for R = " << _Rparam
	  << " >= 2pi";
      _changed_strategy_warning.warn(oss.str());
    }
  }
  if (_strategy == N2Plain) {
    this->_simple_N2_cluster_BriefJet();
  } else if (_strategy == N2Tiled) {
    this->_faster_tiled_N2_cluster();
  } else if (_strategy == N2MinHeapTiled) {
    this->_minheap_faster_tiled_N2_cluster();
  } else if (_strategy == NlnN) {
    this->_delaunay_cluster();
  } else if (_strategy == NlnNCam) {
    this->_CP2DChan_cluster_2piMultD();
  } else if (_strategy == NlnN3pi || _strategy == NlnN4pi ) {
    this->_delaunay_cluster();
  } else if (_strategy ==  N3Dumb ) {
    this->_really_dumb_cluster();
  } else if (_strategy == N2PoorTiled) {
    this->_tiled_N2_cluster();
  } else if (_strategy == NlnNCam4pi) {
    this->_CP2DChan_cluster();
  } else if (_strategy == NlnNCam2pi2R) {
    this->_CP2DChan_cluster_2pi2R();
  } else {
    ostringstream err;
    err << "Unrecognised value for strategy: "<<_strategy;
    throw Error(err.str());
  }
}
bool ClusterSequence::_first_time = true;
int ClusterSequence::_n_exclusive_warnings = 0;
string fastjet_version_string() {
  return "FastJet version "+string(fastjet_version)+" [fjcore]";
}
void ClusterSequence::print_banner() {
  if (!_first_time) {return;}
  _first_time = false;
  ostream * ostr = _fastjet_banner_ostr;
  if (!ostr) return;
  (*ostr) << "#--------------------------------------------------------------------------\n";
  (*ostr) << "#                     FastJet release " << fastjet_version << " [fjcore]" << endl;
  (*ostr) << "#                 M. Cacciari, G.P. Salam and G. Soyez                  \n";
  (*ostr) << "#     A software package for jet finding and analysis at colliders      \n";
  (*ostr) << "#                           http://fastjet.fr                           \n";
  (*ostr) << "#	                                                                      \n";
  (*ostr) << "# Please cite EPJC72(2012)1896 [arXiv:1111.6097] if you use this package\n";
  (*ostr) << "# for scientific work and optionally PLB641(2006)57 [hep-ph/0512210].   \n";
  (*ostr) << "#                                                                       \n";
  (*ostr) << "# FastJet is provided without warranty under the terms of the GNU GPLv2.\n";
  (*ostr) << "# It uses T. Chan's closest pair algorithm, S. Fortune's Voronoi code";
#ifndef __FJCORE_DROP_CGAL
  (*ostr) << ",\n# CGAL ";
#else
  (*ostr) << "\n# ";
#endif  // __FJCORE_DROP_CGAL
  (*ostr) << "and 3rd party plugin jet algorithms. See COPYING file for details.\n";
  (*ostr) << "#--------------------------------------------------------------------------\n";
  ostr->flush();
}
void ClusterSequence::_decant_options(const JetDefinition & jet_def_in,
                                      const bool & writeout_combinations) {
  _jet_def = jet_def_in;
  _writeout_combinations = writeout_combinations;
  _structure_shared_ptr.reset(new ClusterSequenceStructure(this));
  _decant_options_partial();
}
void ClusterSequence::_decant_options_partial() {
  print_banner();
  _jet_algorithm = _jet_def.jet_algorithm();
  _Rparam = _jet_def.R();  _R2 = _Rparam*_Rparam; _invR2 = 1.0/_R2;
  _strategy = _jet_def.strategy();
  _plugin_activated = false;
  _update_structure_use_count(); // make sure it's correct already here
}
void ClusterSequence::_fill_initial_history () {
  _jets.reserve(_jets.size()*2);
  _history.reserve(_jets.size()*2);
  _Qtot = 0;
  for (int i = 0; i < static_cast(_jets.size()) ; i++) {
    history_element element;
    element.parent1 = InexistentParent;
    element.parent2 = InexistentParent;
    element.child   = Invalid;
    element.jetp_index = i;
    element.dij     = 0.0;
    element.max_dij_so_far = 0.0;
    _history.push_back(element);
    _jet_def.recombiner()->preprocess(_jets[i]);
    _jets[i].set_cluster_hist_index(i);
    _set_structure_shared_ptr(_jets[i]);
    _Qtot += _jets[i].E();
  }
  _initial_n = _jets.size();
  _deletes_self_when_unused = false;
}
string ClusterSequence::strategy_string (Strategy strategy_in)  const {
  string strategy;
  switch(strategy_in) {
  case NlnN:
    strategy = "NlnN"; break;
  case NlnN3pi:
    strategy = "NlnN3pi"; break;
  case NlnN4pi:
    strategy = "NlnN4pi"; break;
  case N2Plain:
    strategy = "N2Plain"; break;
  case N2Tiled:
    strategy = "N2Tiled"; break;
  case N2MinHeapTiled:
    strategy = "N2MinHeapTiled"; break;
  case N2PoorTiled:
    strategy = "N2PoorTiled"; break;
  case N3Dumb:
    strategy = "N3Dumb"; break;
  case NlnNCam4pi:
    strategy = "NlnNCam4pi"; break;
  case NlnNCam2pi2R:
    strategy = "NlnNCam2pi2R"; break;
  case NlnNCam:
    strategy = "NlnNCam"; break; // 2piMultD
  case plugin_strategy:
    strategy = "plugin strategy"; break;
  default:
    strategy = "Unrecognized";
  }
  return strategy;
}
double ClusterSequence::jet_scale_for_algorithm(
				  const PseudoJet & jet) const {
  if (_jet_algorithm == kt_algorithm)             {return jet.kt2();}
  else if (_jet_algorithm == cambridge_algorithm) {return 1.0;}
  else if (_jet_algorithm == antikt_algorithm) {
    double kt2=jet.kt2();
    return kt2 > 1e-300 ? 1.0/kt2 : 1e300;
  } else if (_jet_algorithm == genkt_algorithm) {
    double kt2 = jet.kt2();
    double p   = jet_def().extra_param();
    if (p <= 0 && kt2 < 1e-300) kt2 = 1e-300; // dodgy safety check
    return pow(kt2, p);
  } else if (_jet_algorithm == cambridge_for_passive_algorithm) {
    double kt2 = jet.kt2();
    double lim = _jet_def.extra_param();
    if (kt2 < lim*lim && kt2 != 0.0) {
      return 1.0/kt2;
    } else {return 1.0;}
  } else {throw Error("Unrecognised jet algorithm");}
}
void ClusterSequence::transfer_from_sequence(const ClusterSequence & from_seq,
					     const FunctionOfPseudoJet * action_on_jets){
  if (will_delete_self_when_unused())
    throw(Error("cannot use CS::transfer_from_sequence after a call to delete_self_when_unused()"));
  _jet_def                 = from_seq._jet_def                ;
  _writeout_combinations   = from_seq._writeout_combinations  ;
  _initial_n               = from_seq._initial_n              ;
  _Rparam                  = from_seq._Rparam                 ;
  _R2                      = from_seq._R2                     ;
  _invR2                   = from_seq._invR2                  ;
  _strategy                = from_seq._strategy               ;
  _jet_algorithm           = from_seq._jet_algorithm          ;
  _plugin_activated        = from_seq._plugin_activated       ;
  if (action_on_jets)
    _jets     = (*action_on_jets)(from_seq._jets);
  else
    _jets     = from_seq._jets;
  _history  = from_seq._history;
  _extras   = from_seq._extras;
  if (_structure_shared_ptr()) {
    if (_deletes_self_when_unused) throw Error("transfer_from_sequence cannot be used for a cluster sequence that deletes self when unused");
    ClusterSequenceStructure* csi = dynamic_cast(_structure_shared_ptr());
    assert(csi != NULL);
    csi->set_associated_cs(NULL);
  }
  _structure_shared_ptr.reset(new ClusterSequenceStructure(this));
  _update_structure_use_count();
  for (unsigned int i=0; i<_jets.size(); i++){
    _jets[i].set_cluster_hist_index(from_seq._jets[i].cluster_hist_index());
    _set_structure_shared_ptr(_jets[i]);
  }
}
void ClusterSequence::plugin_record_ij_recombination(
	   int jet_i, int jet_j, double dij,
	   const PseudoJet & newjet, int & newjet_k) {
  plugin_record_ij_recombination(jet_i, jet_j, dij, newjet_k);
  int tmp_index = _jets[newjet_k].cluster_hist_index();
  _jets[newjet_k] = newjet;
  _jets[newjet_k].set_cluster_hist_index(tmp_index);
  _set_structure_shared_ptr(_jets[newjet_k]);
}
vector ClusterSequence::inclusive_jets (const double & ptmin) const{
  double dcut = ptmin*ptmin;
  int i = _history.size() - 1; // last jet
  vector jets_local;
  if (_jet_algorithm == kt_algorithm) {
    while (i >= 0) {
      if (_history[i].max_dij_so_far < dcut) {break;}
      if (_history[i].parent2 == BeamJet && _history[i].dij >= dcut) {
	// for beam jets
	int parent1 = _history[i].parent1;
	jets_local.push_back(_jets[_history[parent1].jetp_index]);}
      i--;
    }
  } else if (_jet_algorithm == cambridge_algorithm) {
    while (i >= 0) {
      if (_history[i].parent2 != BeamJet) {break;}
      int parent1 = _history[i].parent1;
      const PseudoJet & jet = _jets[_history[parent1].jetp_index];
      if (jet.perp2() >= dcut) {jets_local.push_back(jet);}
      i--;
    }
  } else if (_jet_algorithm == plugin_algorithm
             || _jet_algorithm == ee_kt_algorithm
             || _jet_algorithm == antikt_algorithm
             || _jet_algorithm == genkt_algorithm
             || _jet_algorithm == ee_genkt_algorithm
             || _jet_algorithm == cambridge_for_passive_algorithm) {
    while (i >= 0) {
      if (_history[i].parent2 == BeamJet) {
	int parent1 = _history[i].parent1;
	const PseudoJet & jet = _jets[_history[parent1].jetp_index];
	if (jet.perp2() >= dcut) {jets_local.push_back(jet);}
      }
      i--;
    }
  } else {throw Error("cs::inclusive_jets(...): Unrecognized jet algorithm");}
  return jets_local;
}
int ClusterSequence::n_exclusive_jets (const double & dcut) const {
  int i = _history.size() - 1; // last jet
  while (i >= 0) {
    if (_history[i].max_dij_so_far <= dcut) {break;}
    i--;
  }
  int stop_point = i + 1;
  int njets = 2*_initial_n - stop_point;
  return njets;
}
vector ClusterSequence::exclusive_jets (const double & dcut) const {
  int njets = n_exclusive_jets(dcut);
  return exclusive_jets(njets);
}
vector ClusterSequence::exclusive_jets (const int & njets) const {
  if (njets > _initial_n) {
    ostringstream err;
    err << "Requested " << njets << " exclusive jets, but there were only "
	<< _initial_n << " particles in the event";
    throw Error(err.str());
  }
  return exclusive_jets_up_to(njets);
}
vector ClusterSequence::exclusive_jets_up_to (const int & njets) const {
  if (( _jet_def.jet_algorithm() != kt_algorithm) &&
      ( _jet_def.jet_algorithm() != cambridge_algorithm) &&
      ( _jet_def.jet_algorithm() != ee_kt_algorithm) &&
      (((_jet_def.jet_algorithm() != genkt_algorithm) &&
	(_jet_def.jet_algorithm() != ee_genkt_algorithm)) ||
       (_jet_def.extra_param() <0)) &&
      ((_jet_def.jet_algorithm() != plugin_algorithm) ||
       (!_jet_def.plugin()->exclusive_sequence_meaningful())) &&
      (_n_exclusive_warnings < 5)) {
    _n_exclusive_warnings++;
    cerr << "FastJet WARNING: dcut and exclusive jets for jet-finders other than kt should be interpreted with care." << endl;
  }
  int stop_point = 2*_initial_n - njets;
  if (stop_point < _initial_n) stop_point = _initial_n;
  if (2*_initial_n != static_cast(_history.size())) {
    ostringstream err;
    err << "2*_initial_n != _history.size() -- this endangers internal assumptions!\n";
    throw Error(err.str());
  }
  vector jets_local;
  for (unsigned int i = stop_point; i < _history.size(); i++) {
    int parent1 = _history[i].parent1;
    if (parent1 < stop_point) {
      jets_local.push_back(_jets[_history[parent1].jetp_index]);
    }
    int parent2 = _history[i].parent2;
    if (parent2 < stop_point && parent2 > 0) {
      jets_local.push_back(_jets[_history[parent2].jetp_index]);
    }
  }
  if (int(jets_local.size()) != min(_initial_n, njets)) {
    ostringstream err;
    err << "ClusterSequence::exclusive_jets: size of returned vector ("
	 <= 0);
  if (njets >= _initial_n) {return 0.0;}
  return _history[2*_initial_n-njets-1].dij;
}
double ClusterSequence::exclusive_dmerge_max (const int & njets) const {
  assert(njets >= 0);
  if (njets >= _initial_n) {return 0.0;}
  return _history[2*_initial_n-njets-1].max_dij_so_far;
}
std::vector ClusterSequence::exclusive_subjets
   (const PseudoJet & jet, const double & dcut) const {
  set subhist;
  get_subhist_set(subhist, jet, dcut, 0);
  vector subjets;
  subjets.reserve(subhist.size());
  for (set::iterator elem = subhist.begin();
       elem != subhist.end(); elem++) {
    subjets.push_back(_jets[(*elem)->jetp_index]);
  }
  return subjets;
}
int ClusterSequence::n_exclusive_subjets(const PseudoJet & jet,
                        const double & dcut) const {
  set subhist;
  get_subhist_set(subhist, jet, dcut, 0);
  return subhist.size();
}
std::vector ClusterSequence::exclusive_subjets
   (const PseudoJet & jet, int nsub) const {
  vector subjets = exclusive_subjets_up_to(jet, nsub);
  if (int(subjets.size()) < nsub) {
    ostringstream err;
    err << "Requested " << nsub << " exclusive subjets, but there were only "
	<< subjets.size() << " particles in the jet";
    throw Error(err.str());
  }
  return subjets;
}
std::vector ClusterSequence::exclusive_subjets_up_to
   (const PseudoJet & jet, int nsub) const {
  set subhist;
  vector subjets;
  if (nsub <  0) throw Error("Requested a negative number of subjets. This is nonsensical.");
  if (nsub == 0) return subjets;
  get_subhist_set(subhist, jet, -1.0, nsub);
  subjets.reserve(subhist.size());
  for (set::iterator elem = subhist.begin();
       elem != subhist.end(); elem++) {
    subjets.push_back(_jets[(*elem)->jetp_index]);
  }
  return subjets;
}
double ClusterSequence::exclusive_subdmerge(const PseudoJet & jet, int nsub) const {
  set subhist;
  get_subhist_set(subhist, jet, -1.0, nsub);
  set::iterator highest = subhist.end();
  highest--;
  return (*highest)->dij;
}
double ClusterSequence::exclusive_subdmerge_max(const PseudoJet & jet, int nsub) const {
  set subhist;
  get_subhist_set(subhist, jet, -1.0, nsub);
  set::iterator highest = subhist.end();
  highest--;
  return (*highest)->max_dij_so_far;
}
void ClusterSequence::get_subhist_set(set & subhist,
                                     const  PseudoJet & jet,
                                     double dcut, int maxjet) const {
  assert(contains(jet));
  subhist.clear();
  subhist.insert(&(_history[jet.cluster_hist_index()]));
  int njet = 1;
  while (true) {
    set::iterator highest = subhist.end();
    assert (highest != subhist.begin());
    highest--;
    const history_element* elem = *highest;
    if (njet == maxjet) break;
    if (elem->parent1 < 0)            break;
    if (elem->max_dij_so_far <= dcut) break;
    subhist.erase(highest);
    subhist.insert(&(_history[elem->parent1]));
    subhist.insert(&(_history[elem->parent2]));
    njet++;
  }
}
bool ClusterSequence::object_in_jet(const PseudoJet & object,
                                    const PseudoJet & jet) const {
  assert(contains(object) && contains(jet));
  const PseudoJet * this_object = &object;
  const PseudoJet * childp;
  while(true) {
    if (this_object->cluster_hist_index() == jet.cluster_hist_index()) {
      return true;
    } else if (has_child(*this_object, childp)) {
      this_object = childp;
    } else {
      return false;
    }
  }
}
bool ClusterSequence::has_parents(const PseudoJet & jet, PseudoJet & parent1,
                              PseudoJet & parent2) const {
  const history_element & hist = _history[jet.cluster_hist_index()];
  assert ((hist.parent1 >= 0 && hist.parent2 >= 0) ||
          (hist.parent1 < 0 && hist.parent2 < 0));
  if (hist.parent1 < 0) {
    parent1 = PseudoJet(0.0,0.0,0.0,0.0);
    parent2 = parent1;
    return false;
  } else {
    parent1 = _jets[_history[hist.parent1].jetp_index];
    parent2 = _jets[_history[hist.parent2].jetp_index];
    if (parent1.perp2() < parent2.perp2()) std::swap(parent1,parent2);
    return true;
  }
}
bool ClusterSequence::has_child(const PseudoJet & jet, PseudoJet & child) const {
  const PseudoJet * childp;
  bool res = has_child(jet, childp);
  if (res) {
    child = *childp;
    return true;
  } else {
    child = PseudoJet(0.0,0.0,0.0,0.0);
    return false;
  }
}
bool ClusterSequence::has_child(const PseudoJet & jet, const PseudoJet * & childp) const {
  const history_element & hist = _history[jet.cluster_hist_index()];
  if (hist.child >= 0 && _history[hist.child].jetp_index >= 0) {
    childp = &(_jets[_history[hist.child].jetp_index]);
    return true;
  } else {
    childp = NULL;
    return false;
  }
}
bool ClusterSequence::has_partner(const PseudoJet & jet,
                              PseudoJet & partner) const {
  const history_element & hist = _history[jet.cluster_hist_index()];
  if (hist.child >= 0 && _history[hist.child].parent2 >= 0) {
    const history_element & child_hist = _history[hist.child];
    if (child_hist.parent1 == jet.cluster_hist_index()) {
      partner = _jets[_history[child_hist.parent2].jetp_index];
    } else {
      partner = _jets[_history[child_hist.parent1].jetp_index];
    }
    return true;
  } else {
    partner = PseudoJet(0.0,0.0,0.0,0.0);
    return false;
  }
}
vector ClusterSequence::constituents (const PseudoJet & jet) const {
  vector subjets;
  add_constituents(jet, subjets);
  return subjets;
}
void ClusterSequence::print_jets_for_root(const std::vector & jets_in,
                                          ostream & ostr) const {
  for (unsigned i = 0; i < jets_in.size(); i++) {
    ostr << i  << " "
         << jets_in[i].px() << " "
         << jets_in[i].py() << " "
         << jets_in[i].pz() << " "
         << jets_in[i].E() << endl;
    vector cst = constituents(jets_in[i]);
    for (unsigned j = 0; j < cst.size() ; j++) {
      ostr << " " << j << " "
           << cst[j].rap() << " "
           << cst[j].phi() << " "
           << cst[j].perp() << endl;
    }
    ostr << "#END" << endl;
  }
}
void ClusterSequence::print_jets_for_root(const std::vector & jets_in,
					  const std::string & filename,
					  const std::string & comment ) const {
  std::ofstream ostr(filename.c_str());
  if (comment != "") ostr << "# " << comment << endl;
  print_jets_for_root(jets_in, ostr);
}
vector ClusterSequence::particle_jet_indices(
                        const vector & jets_in) const {
  vector indices(n_particles());
  for (unsigned ipart = 0; ipart < n_particles(); ipart++)
    indices[ipart] = -1;
  for (unsigned ijet = 0; ijet < jets_in.size(); ijet++) {
    vector jet_constituents(constituents(jets_in[ijet]));
    for (unsigned ip = 0; ip < jet_constituents.size(); ip++) {
      unsigned iclust = jet_constituents[ip].cluster_hist_index();
      unsigned ipart = history()[iclust].jetp_index;
      indices[ipart] = ijet;
    }
  }
  return indices;
}
void ClusterSequence::add_constituents (
           const PseudoJet & jet, vector & subjet_vector) const {
  int i = jet.cluster_hist_index();
  int parent1 = _history[i].parent1;
  int parent2 = _history[i].parent2;
  if (parent1 == InexistentParent) {
    subjet_vector.push_back(_jets[i]);
    return;
  }
  add_constituents(_jets[_history[parent1].jetp_index], subjet_vector);
  if (parent2 != BeamJet) {
    add_constituents(_jets[_history[parent2].jetp_index], subjet_vector);
  }
}
void ClusterSequence::_add_step_to_history (
	       const int & step_number, const int & parent1,
	       const int & parent2, const int & jetp_index,
	       const double & dij) {
  history_element element;
  element.parent1 = parent1;
  element.parent2 = parent2;
  element.jetp_index = jetp_index;
  element.child = Invalid;
  element.dij   = dij;
  element.max_dij_so_far = max(dij,_history[_history.size()-1].max_dij_so_far);
  _history.push_back(element);
  int local_step = _history.size()-1;
  assert(local_step == step_number);
  assert(parent1 >= 0);
  _history[parent1].child = local_step;
  if (parent2 >= 0) {_history[parent2].child = local_step;}
  if (jetp_index != Invalid) {
    assert(jetp_index >= 0);
    _jets[jetp_index].set_cluster_hist_index(local_step);
    _set_structure_shared_ptr(_jets[jetp_index]);
  }
  if (_writeout_combinations) {
    cout << local_step << ": "
	 << parent1 << " with " << parent2
	 << "; y = "<< dij< ClusterSequence::unique_history_order() const {
  valarray lowest_constituent(_history.size());
  int hist_n = _history.size();
  lowest_constituent = hist_n; // give it a large number
  for (int i = 0; i < hist_n; i++) {
    lowest_constituent[i] = min(lowest_constituent[i],i);
    if (_history[i].child > 0) lowest_constituent[_history[i].child]
      = min(lowest_constituent[_history[i].child],lowest_constituent[i]);
  }
  valarray extracted(_history.size()); extracted = false;
  vector unique_tree;
  unique_tree.reserve(_history.size());
  for (unsigned i = 0; i < n_particles(); i++) {
    if (!extracted[i]) {
      unique_tree.push_back(i);
      extracted[i] = true;
      _extract_tree_children(i, extracted, lowest_constituent, unique_tree);
    }
  }
  return unique_tree;
}
void ClusterSequence::_extract_tree_children(
       int position,
       valarray & extracted,
       const valarray & lowest_constituent,
       vector & unique_tree) const {
  if (!extracted[position]) {
    _extract_tree_parents(position,extracted,lowest_constituent,unique_tree);
  }
  int child = _history[position].child;
  if (child  >= 0) _extract_tree_children(child,extracted,lowest_constituent,unique_tree);
}
vector ClusterSequence::unclustered_particles() const {
  vector unclustered;
  for (unsigned i = 0; i < n_particles() ; i++) {
    if (_history[i].child == Invalid)
      unclustered.push_back(_jets[_history[i].jetp_index]);
  }
  return unclustered;
}
vector ClusterSequence::childless_pseudojets() const {
  vector unclustered;
  for (unsigned i = 0; i < _history.size() ; i++) {
    if ((_history[i].child == Invalid) && (_history[i].parent2 != BeamJet))
      unclustered.push_back(_jets[_history[i].jetp_index]);
  }
  return unclustered;
}
bool ClusterSequence::contains(const PseudoJet & jet) const {
  return jet.cluster_hist_index() >= 0
    &&   jet.cluster_hist_index() < int(_history.size())
    &&   jet.has_valid_cluster_sequence()
    &&   jet.associated_cluster_sequence() == this;
}
void ClusterSequence::_extract_tree_parents(
       int position,
       valarray & extracted,
       const valarray & lowest_constituent,
       vector & unique_tree) const {
  if (!extracted[position]) {
    int parent1 = _history[position].parent1;
    int parent2 = _history[position].parent2;
    if (parent1 >= 0 && parent2 >= 0) {
      if (lowest_constituent[parent1] > lowest_constituent[parent2])
	std::swap(parent1, parent2);
    }
    if (parent1 >= 0 && !extracted[parent1])
      _extract_tree_parents(parent1,extracted,lowest_constituent,unique_tree);
    if (parent2 >= 0 && !extracted[parent2])
      _extract_tree_parents(parent2,extracted,lowest_constituent,unique_tree);
    unique_tree.push_back(position);
    extracted[position] = true;
  }
}
void ClusterSequence::_do_ij_recombination_step(
                               const int & jet_i, const int & jet_j,
			       const double & dij,
			       int & newjet_k) {
  PseudoJet newjet(false);
  _jet_def.recombiner()->recombine(_jets[jet_i], _jets[jet_j], newjet);
  _jets.push_back(newjet);
  newjet_k = _jets.size()-1;
  int newstep_k = _history.size();
  _jets[newjet_k].set_cluster_hist_index(newstep_k);
  int hist_i = _jets[jet_i].cluster_hist_index();
  int hist_j = _jets[jet_j].cluster_hist_index();
  _add_step_to_history(newstep_k, min(hist_i, hist_j), max(hist_i,hist_j),
		       newjet_k, dij);
}
void ClusterSequence::_do_iB_recombination_step(
				  const int & jet_i, const double & diB) {
  int newstep_k = _history.size();
  _add_step_to_history(newstep_k,_jets[jet_i].cluster_hist_index(),BeamJet,
		       Invalid, diB);
}
LimitedWarning ClusterSequence::_changed_strategy_warning;
void ClusterSequence::_set_structure_shared_ptr(PseudoJet & j) {
  j.set_structure_shared_ptr(_structure_shared_ptr);
  _update_structure_use_count();
}
void ClusterSequence::_update_structure_use_count() {
  _structure_use_count_after_construction = _structure_shared_ptr.use_count();
}
void ClusterSequence::delete_self_when_unused() {
  int new_count = _structure_shared_ptr.use_count() - _structure_use_count_after_construction;
  if (new_count <= 0) {
    throw Error("delete_self_when_unused may only be called if at least one object outside the CS (e.g. a jet) is already associated with the CS");
  }
  _structure_shared_ptr.set_count(new_count);
  _deletes_self_when_unused = true;
}
FJCORE_END_NAMESPACE
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
namespace Private {
  class MirrorInfo{
  public:
    int orig, mirror;
    MirrorInfo(int a, int b) : orig(a), mirror(b) {};
    MirrorInfo() {};
  };
  bool make_mirror(Coord2D & point, double Dlim) {
    if (point.y < Dlim)       {point.y += twopi; return true;}
    if (twopi-point.y < Dlim) {point.y -= twopi; return true;}
    return false;
  }
}
using namespace Private;
void ClusterSequence::_CP2DChan_limited_cluster (double Dlim) {
  unsigned int n = _initial_n;
  vector   coordIDs(2*n); // coord IDs of a given jetID
  vector          jetIDs(2*n);   // jet ID for a given coord ID
  vector      coords(2*n);   // our coordinates (and copies)
  double Dlim4mirror = min(Dlim,pi);
  double minrap = numeric_limits::max();
  double maxrap = -minrap;
  int coord_index = -1;
  int n_active = 0;
  for (unsigned jet_i = 0; jet_i < _jets.size(); jet_i++) {
    if (_history[_jets[jet_i].cluster_hist_index()].child != Invalid ||
	(_jets[jet_i].E() == abs(_jets[jet_i].pz()) &&
	 _jets[jet_i].perp2() == 0.0)
	) {continue;}
    n_active++;
    coordIDs[jet_i].orig = ++coord_index;
    coords[coord_index]  = Coord2D(_jets[jet_i].rap(), _jets[jet_i].phi_02pi());
    jetIDs[coord_index]  = jet_i;
    minrap = min(coords[coord_index].x,minrap);
    maxrap = max(coords[coord_index].x,maxrap);
    Coord2D mirror_point(coords[coord_index]);
    if (make_mirror(mirror_point, Dlim4mirror)) {
      coordIDs[jet_i].mirror = ++coord_index;
      coords[coord_index] = mirror_point;
      jetIDs[coord_index] = jet_i;
    } else {
      coordIDs[jet_i].mirror = Invalid;
    }
  }
  coords.resize(coord_index+1);
  Coord2D left_edge(minrap-1.0, -3.15); // a security margin below  -pi
  Coord2D right_edge(maxrap+1.0, 9.45); // a security margin above 3*pi
  ClosestPair2D cp(coords, left_edge, right_edge);
  vector new_points(2);
  vector cIDs_to_remove(4);
  vector new_cIDs(2);
  do {
    unsigned int cID1, cID2;
    double distance2;
    cp.closest_pair(cID1,cID2,distance2);
    if (distance2 > Dlim*Dlim) {break;}
    distance2 *= _invR2;
    int jet_i = jetIDs[cID1];
    int jet_j = jetIDs[cID2];
    assert (jet_i != jet_j); // to catch issue of recombining with mirror point
    int newjet_k;
    _do_ij_recombination_step(jet_i, jet_j, distance2, newjet_k);
    if (--n_active == 1) {break;}
    cIDs_to_remove.resize(0);
    cIDs_to_remove.push_back(coordIDs[jet_i].orig);
    cIDs_to_remove.push_back(coordIDs[jet_j].orig);
    if (coordIDs[jet_i].mirror != Invalid)
      cIDs_to_remove.push_back(coordIDs[jet_i].mirror);
    if (coordIDs[jet_j].mirror != Invalid)
      cIDs_to_remove.push_back(coordIDs[jet_j].mirror);
    Coord2D new_point(_jets[newjet_k].rap(),_jets[newjet_k].phi_02pi());
    new_points.resize(0);
    new_points.push_back(new_point);
    if (make_mirror(new_point, Dlim4mirror)) new_points.push_back(new_point);  //< same warning as before concerning the mirroring
    cp.replace_many(cIDs_to_remove, new_points, new_cIDs);
    coordIDs[newjet_k].orig = new_cIDs[0];
    jetIDs[new_cIDs[0]]       = newjet_k;
    if (new_cIDs.size() == 2) {
      coordIDs[newjet_k].mirror = new_cIDs[1];
      jetIDs[new_cIDs[1]]         = newjet_k;
    } else {coordIDs[newjet_k].mirror = Invalid;}
  } while(true);
}
void ClusterSequence::_CP2DChan_cluster_2pi2R () {
  if (_jet_algorithm != cambridge_algorithm) throw Error("CP2DChan clustering method called for a jet-finder that is not the cambridge algorithm");
  _CP2DChan_limited_cluster(_Rparam);
  _do_Cambridge_inclusive_jets();
}
void ClusterSequence::_CP2DChan_cluster_2piMultD () {
  if (_Rparam >= 0.39) {
    _CP2DChan_limited_cluster(min(_Rparam/2,0.3));
  }
  _CP2DChan_cluster_2pi2R ();
}
void ClusterSequence::_CP2DChan_cluster () {
  if (_jet_algorithm != cambridge_algorithm) throw Error("_CP2DChan_cluster called for a jet-finder that is not the cambridge algorithm");
  unsigned int n = _jets.size();
  vector   coordIDs(2*n);  // link from original to mirror indices
  vector          jetIDs(2*n);     // link from mirror to original indices
  vector      coords(2*n);   // our coordinates (and copies)
  double minrap = numeric_limits::max();
  double maxrap = -minrap;
  int coord_index = 0;
  for (unsigned i = 0; i < n; i++) {
    if (_jets[i].E() == abs(_jets[i].pz()) && _jets[i].perp2() == 0.0) {
      coordIDs[i] = MirrorInfo(BeamJet,BeamJet);
    } else {
      coordIDs[i].orig   = coord_index;
      coordIDs[i].mirror = coord_index+1;
      coords[coord_index]   = Coord2D(_jets[i].rap(), _jets[i].phi_02pi());
      coords[coord_index+1] = Coord2D(_jets[i].rap(), _jets[i].phi_02pi()+twopi);
      jetIDs[coord_index]   = i;
      jetIDs[coord_index+1] = i;
      minrap = min(coords[coord_index].x,minrap);
      maxrap = max(coords[coord_index].x,maxrap);
      coord_index += 2;
    }
  }
  for (unsigned i = n; i < 2*n; i++) {coordIDs[i].orig = Invalid;}
  coords.resize(coord_index);
  Coord2D left_edge(minrap-1.0, 0.0);
  Coord2D right_edge(maxrap+1.0, 2*twopi);
  ClosestPair2D cp(coords, left_edge, right_edge);
  vector new_points(2);
  vector cIDs_to_remove(4);
  vector new_cIDs(2);
  do {
    unsigned int cID1, cID2;
    double distance2;
    cp.closest_pair(cID1,cID2,distance2);
    distance2 *= _invR2;
    if (distance2 > 1.0) {break;}
    int jet_i = jetIDs[cID1];
    int jet_j = jetIDs[cID2];
    assert (jet_i != jet_j); // to catch issue of recombining with mirror point
    int newjet_k;
    _do_ij_recombination_step(jet_i, jet_j, distance2, newjet_k);
    cIDs_to_remove[0] = coordIDs[jet_i].orig;
    cIDs_to_remove[1] = coordIDs[jet_i].mirror;
    cIDs_to_remove[2] = coordIDs[jet_j].orig;
    cIDs_to_remove[3] = coordIDs[jet_j].mirror;
    new_points[0] = Coord2D(_jets[newjet_k].rap(),_jets[newjet_k].phi_02pi());
    new_points[1] = Coord2D(_jets[newjet_k].rap(),_jets[newjet_k].phi_02pi()+twopi);
    new_cIDs[0] = cp.replace(cIDs_to_remove[0], cIDs_to_remove[2], new_points[0]);
    new_cIDs[1] = cp.replace(cIDs_to_remove[1], cIDs_to_remove[3], new_points[1]);
    coordIDs[jet_i].orig = Invalid;
    coordIDs[jet_j].orig = Invalid;
    coordIDs[newjet_k] = MirrorInfo(new_cIDs[0], new_cIDs[1]);
    jetIDs[new_cIDs[0]] = newjet_k;
    jetIDs[new_cIDs[1]] = newjet_k;
    n--;
    if (n == 1) {break;}
  } while(true);
  _do_Cambridge_inclusive_jets();
}
void ClusterSequence::_do_Cambridge_inclusive_jets () {
  unsigned int n = _history.size();
  for (unsigned int hist_i = 0; hist_i < n; hist_i++) {
    if (_history[hist_i].child == Invalid) {
      _do_iB_recombination_step(_history[hist_i].jetp_index, 1.0);
    }
  }
}
FJCORE_END_NAMESPACE
#include
#include
#include
#include 
#include
#include
#ifndef __FJCORE_DROP_CGAL // in case we do not have the code for CGAL
#include "fastjet/internal/Dnn4piCylinder.hh"
#include "fastjet/internal/Dnn3piCylinder.hh"
#include "fastjet/internal/Dnn2piCylinder.hh"
#endif //  __FJCORE_DROP_CGAL
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
void ClusterSequence::_delaunay_cluster () {
  int n = _jets.size();
  vector points(n); // recall EtaPhi is just a typedef'd pair
  for (int i = 0; i < n; i++) {
    points[i] = EtaPhi(_jets[i].rap(),_jets[i].phi_02pi());
    points[i].sanitize(); // make sure things are in the right range
  }
  auto_ptr DNN;
#ifndef __FJCORE_DROP_CGAL // strategy = NlnN* are not supported if we drop CGAL...
  bool verbose = false;
  bool ignore_nearest_is_mirror = (_Rparam < twopi);
  if (_strategy == NlnN4pi) {
    DNN.reset(new Dnn4piCylinder(points,verbose));
  } else if (_strategy == NlnN3pi) {
    DNN.reset(new Dnn3piCylinder(points,ignore_nearest_is_mirror,verbose));
  } else if (_strategy == NlnN) {
    DNN.reset(new Dnn2piCylinder(points,ignore_nearest_is_mirror,verbose));
  } else
#else
  if (_strategy == NlnN4pi || _strategy == NlnN3pi || _strategy == NlnN) {
    ostringstream err;
    err << "ERROR: Requested strategy "<first;
      SmallestDijPair = DijMap.begin()->second;
      jet_i = SmallestDijPair.first;
      jet_j = SmallestDijPair.second;
      DijMap.erase(DijMap.begin());
      recombine_with_beam = (jet_j == BeamJet);
      if (!recombine_with_beam) {Valid2 = DNN->Valid(jet_j);}
      else {Valid2 = true;}
    } while ( !DNN->Valid(jet_i) || !Valid2);
    if (! recombine_with_beam) {
      int nn; // will be index of new jet
      _do_ij_recombination_step(jet_i, jet_j, SmallestDij, nn);
      EtaPhi newpoint(_jets[nn].rap(), _jets[nn].phi_02pi());
      newpoint.sanitize(); // make sure it is in correct range
      points.push_back(newpoint);
    } else {
      _do_iB_recombination_step(jet_i, SmallestDij);
    }
    if (i == n-1) {break;}
    vector updated_neighbours;
    if (! recombine_with_beam) {
      int point3;
      DNN->RemoveCombinedAddCombination(jet_i, jet_j,
				       points[points.size()-1], point3,
				       updated_neighbours);
      if (static_cast (point3) != points.size()-1) {
	throw Error("INTERNAL ERROR: point3 != points.size()-1");}
    } else {
      DNN->RemovePoint(jet_i, updated_neighbours);
    }
    vector::iterator it = updated_neighbours.begin();
    for (; it != updated_neighbours.end(); ++it) {
      int ii = *it;
      _add_ktdistance_to_map(ii, DijMap, DNN.get());
    }
  } // end clustering loop
}
void ClusterSequence::_add_ktdistance_to_map(
                          const int & ii,
			  DistMap & DijMap,
			  const DynamicNearestNeighbours * DNN) {
  double yiB = jet_scale_for_algorithm(_jets[ii]);
  if (yiB == 0.0) {
    DijMap.insert(DijEntry(yiB,  TwoVertices(ii,-1)));
  } else {
    double DeltaR2 = DNN->NearestNeighbourDistance(ii) * _invR2;
    if (DeltaR2 > 1.0) {
      DijMap.insert(DijEntry(yiB,  TwoVertices(ii,-1)));
    } else {
      double kt2i = jet_scale_for_algorithm(_jets[ii]);
      int jj = DNN->NearestNeighbourIndex(ii);
      if (kt2i <= jet_scale_for_algorithm(_jets[jj])) {
	double dij = DeltaR2 * kt2i;
	DijMap.insert(DijEntry(dij, TwoVertices(ii,jj)));
      }
    }
  }
}
FJCORE_END_NAMESPACE
#include
#include
#include 
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
void ClusterSequence::_really_dumb_cluster () {
  vector jetsp(_jets.size());
  vector         indices(_jets.size());
  for (size_t i = 0; i<_jets.size(); i++) {
    jetsp[i] = & _jets[i];
    indices[i] = i;
  }
  for (int n = jetsp.size(); n > 0; n--) {
    int ii, jj;
    double ymin = jet_scale_for_algorithm(*(jetsp[0]));
    ii = 0; jj = -2;
    for (int i = 0; i < n; i++) {
      double yiB = jet_scale_for_algorithm(*(jetsp[i]));
      if (yiB < ymin) {
	ymin = yiB; ii = i; jj = -2;}
    }
    for (int i = 0; i < n-1; i++) {
      for (int j = i+1; j < n; j++) {
	//double y = jetsp[i]->kt_distance(*jetsp[j])*_invR2;
	double y = min(jet_scale_for_algorithm(*(jetsp[i])),
		       jet_scale_for_algorithm(*(jetsp[j])))
	            * jetsp[i]->plain_distance(*jetsp[j])*_invR2;
	if (y < ymin) {ymin = y; ii = i; jj = j;}
      }
    }
    int newn = 2*jetsp.size() - n;
    if (jj >= 0) {
      int nn; // new jet index
      _do_ij_recombination_step(jetsp[ii]-&_jets[0],
				jetsp[jj]-&_jets[0], ymin, nn);
      jetsp[ii] = &_jets[nn];
      jetsp[jj] = jetsp[n-1];
      indices[ii] = newn;
      indices[jj] = indices[n-1];
    } else {
      _do_iB_recombination_step(jetsp[ii]-&_jets[0], ymin);
      jetsp[ii] = jetsp[n-1];
      indices[ii] = indices[n-1];
    }
  }
}
FJCORE_END_NAMESPACE
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
template<> inline void ClusterSequence::_bj_set_jetinfo(
                           EEBriefJet * const jetA, const int _jets_index) const {
  double E = _jets[_jets_index].E();
  double scale = E*E; // the default energy scale for the kt alg
  double p  = jet_def().extra_param(); // in case we're ee_genkt
  switch (_jet_algorithm) {
  case ee_kt_algorithm:
    assert(_Rparam > 2.0); // force this to be true! [not best place, but works]
    break;
  case ee_genkt_algorithm:
    if (p <= 0 && scale < 1e-300) scale = 1e-300; // same dodgy safety as genkt
    scale = pow(scale,p);
    break;
  default:
    throw Error("Unrecognised jet algorithm");
  }
  jetA->kt2  = scale; // "kt2" might one day be renamed as "scale" or some such
  double norm = _jets[_jets_index].modp2();
  if (norm > 0) {
    norm = 1.0/sqrt(norm);
    jetA->nx = norm * _jets[_jets_index].px();
    jetA->ny = norm * _jets[_jets_index].py();
    jetA->nz = norm * _jets[_jets_index].pz();
  } else {
    jetA->nx = 0.0;
    jetA->ny = 0.0;
    jetA->nz = 1.0;
  }
  jetA->_jets_index = _jets_index;
  jetA->NN_dist = _R2;
  jetA->NN      = NULL;
}
template<> double ClusterSequence::_bj_dist(
                const EEBriefJet * const jeta,
                const EEBriefJet * const jetb) const {
  double dist = 1.0
    - jeta->nx*jetb->nx
    - jeta->ny*jetb->ny
    - jeta->nz*jetb->nz;
  dist *= 2; // distance is _2_*min(Ei^2,Ej^2)*(1-cos theta)
  return dist;
}
void ClusterSequence::_simple_N2_cluster_BriefJet() {
  _simple_N2_cluster();
}
void ClusterSequence::_simple_N2_cluster_EEBriefJet() {
  _simple_N2_cluster();
}
FJCORE_END_NAMESPACE
#include 
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
ClusterSequenceStructure::~ClusterSequenceStructure(){
  if (_associated_cs != NULL
      && _associated_cs->will_delete_self_when_unused()) {
    _associated_cs->signal_imminent_self_deletion();
    delete _associated_cs;
  }
}
bool ClusterSequenceStructure::has_valid_cluster_sequence() const{
  return (_associated_cs != NULL);
}
const ClusterSequence* ClusterSequenceStructure::associated_cluster_sequence() const{
  return _associated_cs;
}
const ClusterSequence * ClusterSequenceStructure::validated_cs() const {
  if (!_associated_cs)
    throw Error("you requested information about the internal structure of a jet, but its associated ClusterSequence has gone out of scope.");
  return _associated_cs;
}
bool ClusterSequenceStructure::has_partner(const PseudoJet &reference, PseudoJet &partner) const{
  return validated_cs()->has_partner(reference, partner);
}
bool ClusterSequenceStructure::has_child(const PseudoJet &reference, PseudoJet &child) const{
  return validated_cs()->has_child(reference, child);
}
bool ClusterSequenceStructure::has_parents(const PseudoJet &reference, PseudoJet &parent1, PseudoJet &parent2) const{
  return validated_cs()->has_parents(reference, parent1, parent2);
}
bool ClusterSequenceStructure::object_in_jet(const PseudoJet &reference, const PseudoJet &jet) const{
  if ((!has_associated_cluster_sequence()) || (!jet.has_associated_cluster_sequence()))
    throw Error("you requested information about the internal structure of a jet, but it is not associated with a ClusterSequence or its associated ClusterSequence has gone out of scope.");
  if (reference.associated_cluster_sequence() != jet.associated_cluster_sequence()) return false;
  return validated_cs()->object_in_jet(reference, jet);
}
bool ClusterSequenceStructure::has_constituents() const{
  if (!has_associated_cluster_sequence())
    throw Error("you requested information about the internal structure of a jet, but it is not associated with a ClusterSequence or its associated ClusterSequence has gone out of scope.");
  return true;
}
vector ClusterSequenceStructure::constituents(const PseudoJet &reference) const{
  return validated_cs()->constituents(reference);
}
bool ClusterSequenceStructure::has_exclusive_subjets() const{
  if (!has_associated_cluster_sequence())
    throw Error("you requested information about the internal structure of a jet, but it is not associated with a ClusterSequence or its associated ClusterSequence has gone out of scope.");
  return true;
}
std::vector ClusterSequenceStructure::exclusive_subjets (const PseudoJet &reference, const double & dcut) const {
  return validated_cs()->exclusive_subjets(reference, dcut);
}
int ClusterSequenceStructure::n_exclusive_subjets(const PseudoJet &reference, const double & dcut) const {
  return validated_cs()->n_exclusive_subjets(reference, dcut);
}
std::vector ClusterSequenceStructure::exclusive_subjets_up_to (const PseudoJet &reference, int nsub) const {
  return validated_cs()->exclusive_subjets_up_to(reference, nsub);
}
double ClusterSequenceStructure::exclusive_subdmerge(const PseudoJet &reference, int nsub) const {
  return validated_cs()->exclusive_subdmerge(reference, nsub);
}
double ClusterSequenceStructure::exclusive_subdmerge_max(const PseudoJet &reference, int nsub) const {
  return validated_cs()->exclusive_subdmerge_max(reference, nsub);
}
bool ClusterSequenceStructure::has_pieces(const PseudoJet &reference) const{
  PseudoJet dummy1, dummy2;
  return has_parents(reference, dummy1, dummy2);
}
vector ClusterSequenceStructure::pieces(const PseudoJet &reference) const{
  PseudoJet j1, j2;
  vector res;
  if (has_parents(reference, j1, j2)){
    res.push_back(j1);
    res.push_back(j2);
  }
  return res;
}
FJCORE_END_NAMESPACE
#include
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
void ClusterSequence::_bj_remove_from_tiles(TiledJet * const jet) {
  Tile * tile = & _tiles[jet->tile_index];
  if (jet->previous == NULL) {
    tile->head = jet->next;
  } else {
    jet->previous->next = jet->next;
  }
  if (jet->next != NULL) {
    jet->next->previous = jet->previous;
  }
}
void ClusterSequence::_initialise_tiles() {
  double default_size = max(0.1,_Rparam);
  _tile_size_eta = default_size;
  _n_tiles_phi   = max(3,int(floor(twopi/default_size)));
  _tile_size_phi = twopi / _n_tiles_phi; // >= _Rparam and fits in 2pi
  _tiles_eta_min = 0.0;
  _tiles_eta_max = 0.0;
  const double maxrap = 7.0;
  for(unsigned int i = 0; i < _jets.size(); i++) {
    double eta = _jets[i].rap();
    if (abs(eta) < maxrap) {
      if (eta < _tiles_eta_min) {_tiles_eta_min = eta;}
      if (eta > _tiles_eta_max) {_tiles_eta_max = eta;}
    }
  }
  _tiles_ieta_min = int(floor(_tiles_eta_min/_tile_size_eta));
  _tiles_ieta_max = int(floor( _tiles_eta_max/_tile_size_eta));
  _tiles_eta_min = _tiles_ieta_min * _tile_size_eta;
  _tiles_eta_max = _tiles_ieta_max * _tile_size_eta;
  _tiles.resize((_tiles_ieta_max-_tiles_ieta_min+1)*_n_tiles_phi);
  for (int ieta = _tiles_ieta_min; ieta <= _tiles_ieta_max; ieta++) {
    for (int iphi = 0; iphi < _n_tiles_phi; iphi++) {
      Tile * tile = & _tiles[_tile_index(ieta,iphi)];
      tile->head = NULL; // first element of tiles points to itself
      tile->begin_tiles[0] =  tile;
      Tile ** pptile = & (tile->begin_tiles[0]);
      pptile++;
      tile->surrounding_tiles = pptile;
      if (ieta > _tiles_ieta_min) {
	// with the itile subroutine, we can safely run tiles from
	// idphi=-1 to idphi=+1, because it takes care of
	// negative and positive boundaries
	for (int idphi = -1; idphi <=+1; idphi++) {
	  *pptile = & _tiles[_tile_index(ieta-1,iphi+idphi)];
	  pptile++;
	}	
      }
      *pptile = & _tiles[_tile_index(ieta,iphi-1)];
      pptile++;
      tile->RH_tiles = pptile;
      *pptile = & _tiles[_tile_index(ieta,iphi+1)];
      pptile++;
      if (ieta < _tiles_ieta_max) {
	for (int idphi = -1; idphi <= +1; idphi++) {
	  *pptile = & _tiles[_tile_index(ieta+1,iphi+idphi)];
	  pptile++;
	}	
      }
      tile->end_tiles = pptile;
      tile->tagged = false;
    }
  }
}
int ClusterSequence::_tile_index(const double & eta, const double & phi) const {
  int ieta, iphi;
  if      (eta <= _tiles_eta_min) {ieta = 0;}
  else if (eta >= _tiles_eta_max) {ieta = _tiles_ieta_max-_tiles_ieta_min;}
  else {
    ieta = int(((eta - _tiles_eta_min) / _tile_size_eta));
    if (ieta > _tiles_ieta_max-_tiles_ieta_min) {
      ieta = _tiles_ieta_max-_tiles_ieta_min;}
  }
  iphi = int((phi+twopi)/_tile_size_phi) % _n_tiles_phi;
  return (iphi + ieta * _n_tiles_phi);
}
inline void ClusterSequence::_tj_set_jetinfo( TiledJet * const jet,
					      const int _jets_index) {
  _bj_set_jetinfo<>(jet, _jets_index);
  jet->tile_index = _tile_index(jet->eta, jet->phi);
  Tile * tile = &_tiles[jet->tile_index];
  jet->previous   = NULL;
  jet->next       = tile->head;
  if (jet->next != NULL) {jet->next->previous = jet;}
  tile->head      = jet;
}
void ClusterSequence::_print_tiles(TiledJet * briefjets ) const {
  for (vector::const_iterator tile = _tiles.begin();
       tile < _tiles.end(); tile++) {
    cout << "Tile " << tile - _tiles.begin()<<" = ";
    vector list;
    for (TiledJet * jetI = tile->head; jetI != NULL; jetI = jetI->next) {
      list.push_back(jetI-briefjets);
    }
    sort(list.begin(),list.end());
    for (unsigned int i = 0; i < list.size(); i++) {cout <<" "< & tile_union, int & n_near_tiles) const {
  for (Tile * const * near_tile = _tiles[tile_index].begin_tiles;
       near_tile != _tiles[tile_index].end_tiles; near_tile++){
    tile_union[n_near_tiles] = *near_tile - & _tiles[0];
    n_near_tiles++;
  }
}
inline void ClusterSequence::_add_untagged_neighbours_to_tile_union(
               const int tile_index,
	       vector & tile_union, int & n_near_tiles)  {
  for (Tile ** near_tile = _tiles[tile_index].begin_tiles;
       near_tile != _tiles[tile_index].end_tiles; near_tile++){
    if (! (*near_tile)->tagged) {
      (*near_tile)->tagged = true;
      tile_union[n_near_tiles] = *near_tile - & _tiles[0];
      n_near_tiles++;
    }
  }
}
void ClusterSequence::_tiled_N2_cluster() {
  _initialise_tiles();
  int n = _jets.size();
  TiledJet * briefjets = new TiledJet[n];
  TiledJet * jetA = briefjets, * jetB;
  TiledJet oldB;
  oldB.tile_index=0; // prevents a gcc warning
  vector tile_union(3*n_tile_neighbours);
  for (int i = 0; i< n; i++) {
    _tj_set_jetinfo(jetA, i);
    jetA++; // move on to next entry of briefjets
  }
  TiledJet * tail = jetA; // a semaphore for the end of briefjets
  TiledJet * head = briefjets; // a nicer way of naming start
  vector::const_iterator tile;
  for (tile = _tiles.begin(); tile != _tiles.end(); tile++) {
    for (jetA = tile->head; jetA != NULL; jetA = jetA->next) {
      for (jetB = tile->head; jetB != jetA; jetB = jetB->next) {
	double dist = _bj_dist(jetA,jetB);
	if (dist < jetA->NN_dist) {jetA->NN_dist = dist; jetA->NN = jetB;}
	if (dist < jetB->NN_dist) {jetB->NN_dist = dist; jetB->NN = jetA;}
      }
    }
    for (Tile ** RTile = tile->RH_tiles; RTile != tile->end_tiles; RTile++) {
      for (jetA = tile->head; jetA != NULL; jetA = jetA->next) {
	for (jetB = (*RTile)->head; jetB != NULL; jetB = jetB->next) {
	  double dist = _bj_dist(jetA,jetB);
	  if (dist < jetA->NN_dist) {jetA->NN_dist = dist; jetA->NN = jetB;}
	  if (dist < jetB->NN_dist) {jetB->NN_dist = dist; jetB->NN = jetA;}
	}
      }
    }
  }
  double * diJ = new double[n];
  jetA = head;
  for (int i = 0; i < n; i++) {
    diJ[i] = _bj_diJ(jetA);
    jetA++; // have jetA follow i
  }
  int history_location = n-1;
  while (tail != head) {
    double diJ_min = diJ[0];
    int diJ_min_jet = 0;
    for (int i = 1; i < n; i++) {
      if (diJ[i] < diJ_min) {diJ_min_jet = i; diJ_min  = diJ[i];}
    }
    history_location++;
    jetA = & briefjets[diJ_min_jet];
    jetB = jetA->NN;
    diJ_min *= _invR2;
    if (jetB != NULL) {
      if (jetA < jetB) {std::swap(jetA,jetB);}
      int nn; // new jet index
      _do_ij_recombination_step(jetA->_jets_index, jetB->_jets_index, diJ_min, nn);
      _bj_remove_from_tiles(jetA);
      oldB = * jetB;  // take a copy because we will need it...
      _bj_remove_from_tiles(jetB);
      _tj_set_jetinfo(jetB, nn); // also registers the jet in the tiling
    } else {
      _do_iB_recombination_step(jetA->_jets_index, diJ_min);
      _bj_remove_from_tiles(jetA);
    }
    int n_near_tiles = 0;
    _add_neighbours_to_tile_union(jetA->tile_index, tile_union, n_near_tiles);
    if (jetB != NULL) {
      bool sort_it = false;
      if (jetB->tile_index != jetA->tile_index) {
	sort_it = true;
	_add_neighbours_to_tile_union(jetB->tile_index,tile_union,n_near_tiles);
      }
      if (oldB.tile_index != jetA->tile_index &&
	  oldB.tile_index != jetB->tile_index) {
	sort_it = true;
	_add_neighbours_to_tile_union(oldB.tile_index,tile_union,n_near_tiles);
      }
      if (sort_it) {
	// sort the tiles before then compressing the list
	sort(tile_union.begin(), tile_union.begin()+n_near_tiles);
	// and now condense the list
	int nnn = 1;
	for (int i = 1; i < n_near_tiles; i++) {
	  if (tile_union[i] != tile_union[nnn-1]) {
	    tile_union[nnn] = tile_union[i];
	    nnn++;
	  }
	}
	n_near_tiles = nnn;
      }
    }
    tail--; n--;
    if (jetA == tail) {
    } else {
      *jetA = *tail;
      diJ[jetA - head] = diJ[tail-head];
      if (jetA->previous == NULL) {
	_tiles[jetA->tile_index].head = jetA;
      } else {
	jetA->previous->next = jetA;
      }
      if (jetA->next != NULL) {jetA->next->previous = jetA;}
    }
    for (int itile = 0; itile < n_near_tiles; itile++) {
      Tile * tile_ptr = &_tiles[tile_union[itile]];
      for (TiledJet * jetI = tile_ptr->head; jetI != NULL; jetI = jetI->next) {
	// see if jetI had jetA or jetB as a NN -- if so recalculate the NN
	if (jetI->NN == jetA || (jetI->NN == jetB && jetB != NULL)) {
	  jetI->NN_dist = _R2;
	  jetI->NN      = NULL;
	  // now go over tiles that are neighbours of I (include own tile)
	  for (Tile ** near_tile  = tile_ptr->begin_tiles;
	               near_tile != tile_ptr->end_tiles; near_tile++) {
	    // and then over the contents of that tile
	    for (TiledJet * jetJ  = (*near_tile)->head;
                            jetJ != NULL; jetJ = jetJ->next) {
	      double dist = _bj_dist(jetI,jetJ);
	      if (dist < jetI->NN_dist && jetJ != jetI) {
		jetI->NN_dist = dist; jetI->NN = jetJ;
	      }
	    }
	  }
	  diJ[jetI-head] = _bj_diJ(jetI); // update diJ
	}
	// check whether new jetB is closer than jetI's current NN and
	// if need to update things
	if (jetB != NULL) {
	  double dist = _bj_dist(jetI,jetB);
	  if (dist < jetI->NN_dist) {
	    if (jetI != jetB) {
	      jetI->NN_dist = dist;
	      jetI->NN = jetB;
	      diJ[jetI-head] = _bj_diJ(jetI); // update diJ...
	    }
	  }
	  if (dist < jetB->NN_dist) {
	    if (jetI != jetB) {
	      jetB->NN_dist = dist;
	      jetB->NN      = jetI;}
	  }
	}
      }
    }
    if (jetB != NULL) {diJ[jetB-head] = _bj_diJ(jetB);}
    for (Tile ** near_tile = _tiles[tail->tile_index].begin_tiles;
	         near_tile!= _tiles[tail->tile_index].end_tiles; near_tile++){
      for (TiledJet * jetJ = (*near_tile)->head;
	             jetJ != NULL; jetJ = jetJ->next) {
	if (jetJ->NN == tail) {jetJ->NN = jetA;}
      }
    }
    if (jetB != NULL) {diJ[jetB-head] = _bj_diJ(jetB);}
  }
  delete[] diJ;
  delete[] briefjets;
}
void ClusterSequence::_faster_tiled_N2_cluster() {
  _initialise_tiles();
  int n = _jets.size();
  TiledJet * briefjets = new TiledJet[n];
  TiledJet * jetA = briefjets, * jetB;
  TiledJet oldB;
  oldB.tile_index=0; // prevents a gcc warning
  vector tile_union(3*n_tile_neighbours);
  for (int i = 0; i< n; i++) {
    _tj_set_jetinfo(jetA, i);
    jetA++; // move on to next entry of briefjets
  }
  TiledJet * head = briefjets; // a nicer way of naming start
  vector::const_iterator tile;
  for (tile = _tiles.begin(); tile != _tiles.end(); tile++) {
    for (jetA = tile->head; jetA != NULL; jetA = jetA->next) {
      for (jetB = tile->head; jetB != jetA; jetB = jetB->next) {
	double dist = _bj_dist(jetA,jetB);
	if (dist < jetA->NN_dist) {jetA->NN_dist = dist; jetA->NN = jetB;}
	if (dist < jetB->NN_dist) {jetB->NN_dist = dist; jetB->NN = jetA;}
      }
    }
    for (Tile ** RTile = tile->RH_tiles; RTile != tile->end_tiles; RTile++) {
      for (jetA = tile->head; jetA != NULL; jetA = jetA->next) {
	for (jetB = (*RTile)->head; jetB != NULL; jetB = jetB->next) {
	  double dist = _bj_dist(jetA,jetB);
	  if (dist < jetA->NN_dist) {jetA->NN_dist = dist; jetA->NN = jetB;}
	  if (dist < jetB->NN_dist) {jetB->NN_dist = dist; jetB->NN = jetA;}
	}
      }
    }
  }
  struct diJ_plus_link {
    double     diJ; // the distance
    TiledJet * jet; // the jet (i) for which we've found this distance
  };
  diJ_plus_link * diJ = new diJ_plus_link[n];
  jetA = head;
  for (int i = 0; i < n; i++) {
    diJ[i].diJ = _bj_diJ(jetA); // kt distance * R^2
    diJ[i].jet = jetA;  // our compact diJ table will not be in	
    jetA->diJ_posn = i; // one-to-one corresp. with non-compact jets,
    jetA++; // have jetA follow i
  }
  int history_location = n-1;
  while (n > 0) {
    diJ_plus_link * best, *stop; // pointers a bit faster than indices
    double diJ_min = diJ[0].diJ; // initialise the best one here.
    best = diJ;                  // and here
    stop = diJ+n;
    for (diJ_plus_link * here = diJ+1; here != stop; here++) {
      if (here->diJ < diJ_min) {best = here; diJ_min  = here->diJ;}
    }
    history_location++;
    jetA = best->jet;
    jetB = jetA->NN;
    diJ_min *= _invR2;
    if (jetB != NULL) {
      if (jetA < jetB) {std::swap(jetA,jetB);}
      int nn; // new jet index
      _do_ij_recombination_step(jetA->_jets_index, jetB->_jets_index, diJ_min, nn);
      _bj_remove_from_tiles(jetA);
      oldB = * jetB;  // take a copy because we will need it...
      _bj_remove_from_tiles(jetB);
      _tj_set_jetinfo(jetB, nn); // cause jetB to become _jets[nn]
    } else {
      _do_iB_recombination_step(jetA->_jets_index, diJ_min);
      _bj_remove_from_tiles(jetA);
    }
    int n_near_tiles = 0;
    _add_untagged_neighbours_to_tile_union(jetA->tile_index,
					   tile_union, n_near_tiles);
    if (jetB != NULL) {
      if (jetB->tile_index != jetA->tile_index) {
	_add_untagged_neighbours_to_tile_union(jetB->tile_index,
					       tile_union,n_near_tiles);
      }
      if (oldB.tile_index != jetA->tile_index &&
	  oldB.tile_index != jetB->tile_index) {
	_add_untagged_neighbours_to_tile_union(oldB.tile_index,
					       tile_union,n_near_tiles);
      }
    }
    n--;
    diJ[n].jet->diJ_posn = jetA->diJ_posn;
    diJ[jetA->diJ_posn] = diJ[n];
    for (int itile = 0; itile < n_near_tiles; itile++) {
      Tile * tile_ptr = &_tiles[tile_union[itile]];
      tile_ptr->tagged = false; // reset tag, since we're done with unions
      for (TiledJet * jetI = tile_ptr->head; jetI != NULL; jetI = jetI->next) {
	// see if jetI had jetA or jetB as a NN -- if so recalculate the NN
	if (jetI->NN == jetA || (jetI->NN == jetB && jetB != NULL)) {
	  jetI->NN_dist = _R2;
	  jetI->NN      = NULL;
	  // now go over tiles that are neighbours of I (include own tile)
	  for (Tile ** near_tile  = tile_ptr->begin_tiles;
	               near_tile != tile_ptr->end_tiles; near_tile++) {
	    // and then over the contents of that tile
	    for (TiledJet * jetJ  = (*near_tile)->head;
                            jetJ != NULL; jetJ = jetJ->next) {
	      double dist = _bj_dist(jetI,jetJ);
	      if (dist < jetI->NN_dist && jetJ != jetI) {
		jetI->NN_dist = dist; jetI->NN = jetJ;
	      }
	    }
	  }
	  diJ[jetI->diJ_posn].diJ = _bj_diJ(jetI); // update diJ kt-dist
	}
	// check whether new jetB is closer than jetI's current NN and
	// if jetI is closer than jetB's current (evolving) nearest
	// neighbour. Where relevant update things
	if (jetB != NULL) {
	  double dist = _bj_dist(jetI,jetB);
	  if (dist < jetI->NN_dist) {
	    if (jetI != jetB) {
	      jetI->NN_dist = dist;
	      jetI->NN = jetB;
	      diJ[jetI->diJ_posn].diJ = _bj_diJ(jetI); // update diJ...
	    }
	  }
	  if (dist < jetB->NN_dist) {
	    if (jetI != jetB) {
	      jetB->NN_dist = dist;
	      jetB->NN      = jetI;}
	  }
	}
      }
    }
    if (jetB != NULL) {diJ[jetB->diJ_posn].diJ = _bj_diJ(jetB);}
  }
  delete[] diJ;
  delete[] briefjets;
}
void ClusterSequence::_minheap_faster_tiled_N2_cluster() {
  _initialise_tiles();
  int n = _jets.size();
  TiledJet * briefjets = new TiledJet[n];
  TiledJet * jetA = briefjets, * jetB;
  TiledJet oldB;
  oldB.tile_index=0; // prevents a gcc warning
  vector tile_union(3*n_tile_neighbours);
  for (int i = 0; i< n; i++) {
    _tj_set_jetinfo(jetA, i);
    jetA++; // move on to next entry of briefjets
  }
  TiledJet * head = briefjets; // a nicer way of naming start
  vector::const_iterator tile;
  for (tile = _tiles.begin(); tile != _tiles.end(); tile++) {
    for (jetA = tile->head; jetA != NULL; jetA = jetA->next) {
      for (jetB = tile->head; jetB != jetA; jetB = jetB->next) {
	double dist = _bj_dist(jetA,jetB);
	if (dist < jetA->NN_dist) {jetA->NN_dist = dist; jetA->NN = jetB;}
	if (dist < jetB->NN_dist) {jetB->NN_dist = dist; jetB->NN = jetA;}
      }
    }
    for (Tile ** RTile = tile->RH_tiles; RTile != tile->end_tiles; RTile++) {
      for (jetA = tile->head; jetA != NULL; jetA = jetA->next) {
	for (jetB = (*RTile)->head; jetB != NULL; jetB = jetB->next) {
	  double dist = _bj_dist(jetA,jetB);
	  if (dist < jetA->NN_dist) {jetA->NN_dist = dist; jetA->NN = jetB;}
	  if (dist < jetB->NN_dist) {jetB->NN_dist = dist; jetB->NN = jetA;}
	}
      }
    }
  }
  vector diJs(n);
  for (int i = 0; i < n; i++) {
    diJs[i] = _bj_diJ(&briefjets[i]);
    briefjets[i].label_minheap_update_done();
  }
  MinHeap minheap(diJs);
  vector jets_for_minheap;
  jets_for_minheap.reserve(n);
  int history_location = n-1;
  while (n > 0) {
    double diJ_min = minheap.minval() *_invR2;
    jetA = head + minheap.minloc();
    history_location++;
    jetB = jetA->NN;
    if (jetB != NULL) {
      if (jetA < jetB) {std::swap(jetA,jetB);}
      int nn; // new jet index
      _do_ij_recombination_step(jetA->_jets_index, jetB->_jets_index, diJ_min, nn);
      _bj_remove_from_tiles(jetA);
      oldB = * jetB;  // take a copy because we will need it...
      _bj_remove_from_tiles(jetB);
      _tj_set_jetinfo(jetB, nn); // cause jetB to become _jets[nn]
    } else {
      _do_iB_recombination_step(jetA->_jets_index, diJ_min);
      _bj_remove_from_tiles(jetA);
    }
    minheap.remove(jetA-head);
    int n_near_tiles = 0;
    _add_untagged_neighbours_to_tile_union(jetA->tile_index,
					   tile_union, n_near_tiles);
    if (jetB != NULL) {
      if (jetB->tile_index != jetA->tile_index) {
	_add_untagged_neighbours_to_tile_union(jetB->tile_index,
					       tile_union,n_near_tiles);
      }
      if (oldB.tile_index != jetA->tile_index &&
	  oldB.tile_index != jetB->tile_index) {
	// GS: the line below generates a warning that oldB.tile_index
	// may be used uninitialised. However, to reach this point, we
	// ned jetB != NULL (see test a few lines above) and is jetB
	// !=NULL, one would have gone through "oldB = *jetB before
	// (see piece of code ~20 line above), so the index is
	// initialised. We do not do anything to avoid the warning to
	// avoid any potential speed impact.
	_add_untagged_neighbours_to_tile_union(oldB.tile_index,
					       tile_union,n_near_tiles);
      }
      jetB->label_minheap_update_needed();
      jets_for_minheap.push_back(jetB);
    }
    for (int itile = 0; itile < n_near_tiles; itile++) {
      Tile * tile_ptr = &_tiles[tile_union[itile]];
      tile_ptr->tagged = false; // reset tag, since we're done with unions
      for (TiledJet * jetI = tile_ptr->head; jetI != NULL; jetI = jetI->next) {
	// see if jetI had jetA or jetB as a NN -- if so recalculate the NN
	if (jetI->NN == jetA || (jetI->NN == jetB && jetB != NULL)) {
	  jetI->NN_dist = _R2;
	  jetI->NN      = NULL;
	  // label jetI as needing heap action...
	  if (!jetI->minheap_update_needed()) {
	    jetI->label_minheap_update_needed();
	    jets_for_minheap.push_back(jetI);}
	  // now go over tiles that are neighbours of I (include own tile)
	  for (Tile ** near_tile  = tile_ptr->begin_tiles;
	               near_tile != tile_ptr->end_tiles; near_tile++) {
	    // and then over the contents of that tile
	    for (TiledJet * jetJ  = (*near_tile)->head;
                            jetJ != NULL; jetJ = jetJ->next) {
	      double dist = _bj_dist(jetI,jetJ);
	      if (dist < jetI->NN_dist && jetJ != jetI) {
		jetI->NN_dist = dist; jetI->NN = jetJ;
	      }
	    }
	  }
	}
	// check whether new jetB is closer than jetI's current NN and
	// if jetI is closer than jetB's current (evolving) nearest
	// neighbour. Where relevant update things
	if (jetB != NULL) {
	  double dist = _bj_dist(jetI,jetB);
	  if (dist < jetI->NN_dist) {
	    if (jetI != jetB) {
	      jetI->NN_dist = dist;
	      jetI->NN = jetB;
	      // label jetI as needing heap action...
	      if (!jetI->minheap_update_needed()) {
		jetI->label_minheap_update_needed();
		jets_for_minheap.push_back(jetI);}
	    }
	  }
	  if (dist < jetB->NN_dist) {
	    if (jetI != jetB) {
	      jetB->NN_dist = dist;
	      jetB->NN      = jetI;}
	  }
	}
      }
    }
    while (jets_for_minheap.size() > 0) {
      TiledJet * jetI = jets_for_minheap.back();
      jets_for_minheap.pop_back();
      minheap.update(jetI-head, _bj_diJ(jetI));
      jetI->label_minheap_update_done();
    }
    n--;
  }
  delete[] briefjets;
}
FJCORE_END_NAMESPACE
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
CompositeJetStructure::CompositeJetStructure(const std::vector & initial_pieces,
					     const JetDefinition::Recombiner * recombiner)
  : _pieces(initial_pieces){
  if (recombiner){};  // ugly trick to prevent a gcc warning
  _area_4vector_ptr = 0;
}
std::string CompositeJetStructure::description() const{
  string str = "Composite PseudoJet";
  return str;
}
bool CompositeJetStructure::has_constituents() const{
  return _pieces.size()!=0;
}
std::vector CompositeJetStructure::constituents(const PseudoJet & /*jet*/) const{
  vector all_constituents;
  for (unsigned i = 0; i < _pieces.size(); i++) {
    if (_pieces[i].has_constituents()){
      vector constits = _pieces[i].constituents();
      copy(constits.begin(), constits.end(), back_inserter(all_constituents));
    } else {
      all_constituents.push_back(_pieces[i]);
    }
  }
  return all_constituents;
}
std::vector CompositeJetStructure::pieces(const PseudoJet & /*jet*/) const{
  return _pieces;
}
FJCORE_END_NAMESPACE      // defined in fastjet/internal/base.hh
#include 
#ifdef FJCORE_HAVE_EXECINFO_H
#include 
#include 
#endif
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
bool Error::_print_errors = true;
bool Error::_print_backtrace = false;
ostream * Error::_default_ostr = & cerr;
Error::Error(const std::string & message_in) {
  _message = message_in;
  if (_print_errors && _default_ostr){
    ostringstream oss;
    oss << "fjcore::Error:  "<< message_in << endl;
#ifdef FJCORE_HAVE_EXECINFO_H
    if (_print_backtrace){
      void * array[10];
      char ** messages;
      int size = backtrace(array, 10);
      messages = backtrace_symbols(array, size);
      oss << "stack:" << endl;
      for (int i = 1; i < size && messages != NULL; ++i){
	oss << "  #" << i << ": " << messages[i] << endl;
      }
      free(messages);
    }
#endif
    *_default_ostr << oss.str();
    _default_ostr->flush();
  }
}
FJCORE_END_NAMESPACE
#include 
#include 
using namespace std;
FJCORE_BEGIN_NAMESPACE
FJCORE_END_NAMESPACE
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
const double JetDefinition::max_allowable_R = 1000.0;
JetDefinition::JetDefinition(JetAlgorithm jet_algorithm_in,
			     double R_in,
			     Strategy strategy_in,
			     RecombinationScheme recomb_scheme_in,
                             int nparameters) :
  _jet_algorithm(jet_algorithm_in), _Rparam(R_in), _strategy(strategy_in) {
  if (_jet_algorithm == ee_kt_algorithm) {
    _Rparam = 4.0; // introduce a fictional R that ensures that
  } else {
    if (R_in > max_allowable_R) {
      ostringstream oss;
      oss << "Requested R = " << R_in << " for jet definition is larger than max_allowable_R = " << max_allowable_R;
      throw Error(oss.str());
    }
  }
  switch (jet_algorithm_in) {
  case ee_kt_algorithm:
    if (nparameters != 0) {
      ostringstream oss;
      oss << "ee_kt_algorithm should be constructed with 0 parameters but was called with "
          << nparameters << " parameter(s)\n";
      throw Error(oss.str());
    }
    break;
  case genkt_algorithm:
  case ee_genkt_algorithm:
    if (nparameters != 2) {
      ostringstream oss;
      oss << "(ee_)genkt_algorithm should be constructed with 2 parameters but was called with "
          << nparameters << " parameter(s)\n";
      throw Error(oss.str());
    }
    break;
  default:
    if (nparameters != 1) {
      ostringstream oss;
      oss << "The jet algorithm you requested ("
          << jet_algorithm_in << ") should be constructed with 1 parameter but was called with "
          << nparameters << " parameter(s)\n";
      throw Error(oss.str());
    }
  }
  assert (_strategy  != plugin_strategy);
  _plugin = NULL;
  set_recombination_scheme(recomb_scheme_in);
  set_extra_param(0.0); // make sure it's defined
}
string JetDefinition::description() const {
  ostringstream name;
  if (jet_algorithm() == plugin_algorithm) {
    return plugin()->description();
  } else if (jet_algorithm() == kt_algorithm) {
    name << "Longitudinally invariant kt algorithm with R = " << R();
    name << " and " << recombiner()->description();
  } else if (jet_algorithm() == cambridge_algorithm) {
    name << "Longitudinally invariant Cambridge/Aachen algorithm with R = "
	 << R() ;
    name << " and " << recombiner()->description();
  } else if (jet_algorithm() == antikt_algorithm) {
    name << "Longitudinally invariant anti-kt algorithm with R = "
	 << R() ;
    name << " and " << recombiner()->description();
  } else if (jet_algorithm() == genkt_algorithm) {
    name << "Longitudinally invariant generalised kt algorithm with R = "
	 << R() << ", p = " << extra_param();
    name << " and " << recombiner()->description();
  } else if (jet_algorithm() == cambridge_for_passive_algorithm) {
    name << "Longitudinally invariant Cambridge/Aachen algorithm with R = "
	 << R() << "and a special hack whereby particles with kt < "
         << extra_param() << "are treated as passive ghosts";
  } else if (jet_algorithm() == ee_kt_algorithm) {
    name << "e+e- kt (Durham) algorithm (NB: no R)";
    name << " with " << recombiner()->description();
  } else if (jet_algorithm() == ee_genkt_algorithm) {
    name << "e+e- generalised kt algorithm with R = "
	 << R() << ", p = " << extra_param();
    name << " and " << recombiner()->description();
  } else if (jet_algorithm() == undefined_jet_algorithm) {
    name << "uninitialised JetDefinition (jet_algorithm=undefined_jet_algorithm)" ;
  } else {
    throw Error("JetDefinition::description(): unrecognized jet_algorithm");
  }
  return name.str();
}
void JetDefinition::set_recombination_scheme(
                               RecombinationScheme recomb_scheme) {
  _default_recombiner = JetDefinition::DefaultRecombiner(recomb_scheme);
  if (_recombiner_shared()) _recombiner_shared.reset();
  _recombiner = 0;
}
bool JetDefinition::has_same_recombiner(const JetDefinition &other_jd) const{
  const RecombinationScheme & scheme = recombination_scheme();
  if (other_jd.recombination_scheme() != scheme) return false;
  return (scheme != external_scheme)
    || (recombiner() == other_jd.recombiner());
}
void JetDefinition::delete_recombiner_when_unused(){
  if (_recombiner == 0){
    throw Error("tried to call JetDefinition::delete_recombiner_when_unused() for a JetDefinition without a user-defined recombination scheme");
  }
  _recombiner_shared.reset(_recombiner);
}
void JetDefinition::delete_plugin_when_unused(){
  if (_plugin == 0){
    throw Error("tried to call JetDefinition::delete_plugin_when_unused() for a JetDefinition without a plugin");
  }
  _plugin_shared.reset(_plugin);
}
string JetDefinition::DefaultRecombiner::description() const {
  switch(_recomb_scheme) {
  case E_scheme:
    return "E scheme recombination";
  case pt_scheme:
    return "pt scheme recombination";
  case pt2_scheme:
    return "pt2 scheme recombination";
  case Et_scheme:
    return "Et scheme recombination";
  case Et2_scheme:
    return "Et2 scheme recombination";
  case BIpt_scheme:
    return "boost-invariant pt scheme recombination";
  case BIpt2_scheme:
    return "boost-invariant pt2 scheme recombination";
  default:
    ostringstream err;
    err << "DefaultRecombiner: unrecognized recombination scheme "
        << _recomb_scheme;
    throw Error(err.str());
  }
}
void JetDefinition::DefaultRecombiner::recombine(
           const PseudoJet & pa, const PseudoJet & pb,
           PseudoJet & pab) const {
  double weighta, weightb;
  switch(_recomb_scheme) {
  case E_scheme:
    pab.reset(pa.px()+pb.px(),
    	      pa.py()+pb.py(),
    	      pa.pz()+pb.pz(),
    	      pa.E ()+pb.E ());
    return;
  case pt_scheme:
  case Et_scheme:
  case BIpt_scheme:
    weighta = pa.perp();
    weightb = pb.perp();
    break;
  case pt2_scheme:
  case Et2_scheme:
  case BIpt2_scheme:
    weighta = pa.perp2();
    weightb = pb.perp2();
    break;
  default:
    ostringstream err;
    err << "DefaultRecombiner: unrecognized recombination scheme "
        << _recomb_scheme;
    throw Error(err.str());
  }
  double perp_ab = pa.perp() + pb.perp();
  if (perp_ab != 0.0) { // weights also non-zero...
    double y_ab    = (weighta * pa.rap() + weightb * pb.rap())/(weighta+weightb);
    double phi_a = pa.phi(), phi_b = pb.phi();
    if (phi_a - phi_b > pi)  phi_b += twopi;
    if (phi_a - phi_b < -pi) phi_b -= twopi;
    double phi_ab = (weighta * phi_a + weightb * phi_b)/(weighta+weightb);
    pab.reset_PtYPhiM(perp_ab,y_ab,phi_ab);
  } else { // weights are zero
    pab.reset(0.0, 0.0, 0.0, 0.0);
  }
}
void JetDefinition::DefaultRecombiner::preprocess(PseudoJet & p) const {
  switch(_recomb_scheme) {
  case E_scheme:
  case BIpt_scheme:
  case BIpt2_scheme:
    break;
  case pt_scheme:
  case pt2_scheme:
    {
      double newE = sqrt(p.perp2()+p.pz()*p.pz());
      p.reset_momentum(p.px(), p.py(), p.pz(), newE);
    }
    break;
  case Et_scheme:
  case Et2_scheme:
    {
      double rescale = p.E()/sqrt(p.perp2()+p.pz()*p.pz());
      p.reset_momentum(rescale*p.px(), rescale*p.py(), rescale*p.pz(), p.E());
    }
    break;
  default:
    ostringstream err;
    err << "DefaultRecombiner: unrecognized recombination scheme "
        << _recomb_scheme;
    throw Error(err.str());
  }
}
void JetDefinition::Plugin::set_ghost_separation_scale(double /*scale*/) const {
  throw Error("set_ghost_separation_scale not supported");
}
PseudoJet join(const vector & pieces, const JetDefinition::Recombiner & recombiner){
  PseudoJet result;  // automatically initialised to 0
  if (pieces.size()>0){
    result = pieces[0];
    for (unsigned int i=1; i(cj_struct));
  return result;
}
PseudoJet join(const PseudoJet & j1,
	       const JetDefinition::Recombiner & recombiner){
  return join(vector(1,j1), recombiner);
}
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2,
	       const JetDefinition::Recombiner & recombiner){
  vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  return join(pieces, recombiner);
}
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3,
	       const JetDefinition::Recombiner & recombiner){
  vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  return join(pieces, recombiner);
}
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3, const PseudoJet & j4,
	       const JetDefinition::Recombiner & recombiner){
  vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  pieces.push_back(j4);
  return join(pieces, recombiner);
}
FJCORE_END_NAMESPACE
#include 
#include 
using namespace std;
FJCORE_BEGIN_NAMESPACE
ostream * LimitedWarning::_default_ostr = &cerr;
std::list< LimitedWarning::Summary > LimitedWarning::_global_warnings_summary;
int LimitedWarning::_max_warn_default = 5;
void LimitedWarning::warn(const std::string & warning) {
  warn(warning, _default_ostr);
}
void LimitedWarning::warn(const std::string & warning, std::ostream * ostr) {
  if (_this_warning_summary == 0) {
    _global_warnings_summary.push_back(Summary(warning, 0));
    _this_warning_summary = & (_global_warnings_summary.back());
  }
  if (_n_warn_so_far < _max_warn) {
    ostringstream warnstr;
    warnstr << "WARNING: ";
    warnstr << warning;
    _n_warn_so_far++;
    if (_n_warn_so_far == _max_warn) warnstr << " (LAST SUCH WARNING)";
    warnstr << std::endl;
    if (ostr) {
      (*ostr) << warnstr.str();
      ostr->flush(); // get something written to file even if the program aborts
    }
  }
  if (_this_warning_summary->second < numeric_limits::max()) {
    _this_warning_summary->second++;
  }
}
string LimitedWarning::summary() {
  ostringstream str;
  for (list
      ::const_iterator it = _global_warnings_summary.begin();
       it != _global_warnings_summary.end(); it++) {
    str << it->second << " times: " << it->first << endl;
  }
  return str.str();
}
FJCORE_END_NAMESPACE
#include
#include
#include
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
void MinHeap::_initialise(const std::vector & values){
  for (unsigned i = values.size(); i < _heap.size(); i++) {
    _heap[i].value = std::numeric_limits::max();
    _heap[i].minloc = &(_heap[i]);
  }
  for (unsigned i = 0; i < values.size(); i++) {
    _heap[i].value = values[i];
    _heap[i].minloc = &(_heap[i]);
  }
  for (unsigned i = _heap.size()-1; i > 0; i--) {
    ValueLoc * parent = &(_heap[(i-1)/2]);
    ValueLoc * here   = &(_heap[i]);
    if (here->minloc->value < parent->minloc->value) {
      parent->minloc = here->minloc;
    }
  }
}
void MinHeap::update(unsigned int loc, double new_value) {
  assert(loc < _heap.size());
  ValueLoc * start = &(_heap[loc]);
  if (start->minloc != start && !(new_value < start->minloc->value)) {
    start->value = new_value;
    return;
  }
  start->value = new_value;
  start->minloc = start;
  bool change_made = true;
  ValueLoc * heap_end = (&(_heap[0])) + _heap.size();
  while(change_made) {
    ValueLoc * here = &(_heap[loc]);
    change_made     = false;
    if (here->minloc == start) {
      here->minloc = here; change_made = true;
    }
    ValueLoc * child = &(_heap[2*loc+1]);
    if (child < heap_end && child->minloc->value < here->minloc->value ) {
      here->minloc = child->minloc;
      change_made = true;}
    child++;
    if (child < heap_end && child->minloc->value < here->minloc->value ) {
      here->minloc = child->minloc;
      change_made = true;}
    if (loc == 0) {break;}
    loc = (loc-1)/2;
  }
}
FJCORE_END_NAMESPACE
#include
#include
#include
#include
#include
#include 
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
using namespace std;
PseudoJet::PseudoJet(const double px_in, const double py_in, const double pz_in, const double E_in) {
  _E  = E_in ;
  _px = px_in;
  _py = py_in;
  _pz = pz_in;
  this->_finish_init();
  _reset_indices();
}
void PseudoJet::_finish_init () {
  _kt2 = this->px()*this->px() + this->py()*this->py();
  _phi = pseudojet_invalid_phi;
  _rap = pseudojet_invalid_rap;
}
void PseudoJet::_set_rap_phi() const {
  if (_kt2 == 0.0) {
    _phi = 0.0; }
  else {
    _phi = atan2(this->py(),this->px());
  }
  if (_phi < 0.0) {_phi += twopi;}
  if (_phi >= twopi) {_phi -= twopi;} // can happen if phi=-|eps<1e-15|?
  if (this->E() == abs(this->pz()) && _kt2 == 0) {
    double MaxRapHere = MaxRap + abs(this->pz());
    if (this->pz() >= 0.0) {_rap = MaxRapHere;} else {_rap = -MaxRapHere;}
  } else {
    double effective_m2 = max(0.0,m2()); // force non tachyonic mass
    double E_plus_pz    = _E + abs(_pz); // the safer of p+, p-
    _rap = 0.5*log((_kt2 + effective_m2)/(E_plus_pz*E_plus_pz));
    if (_pz > 0) {_rap = - _rap;}
  }
}
valarray PseudoJet::four_mom() const {
  valarray mom(4);
  mom[0] = _px;
  mom[1] = _py;
  mom[2] = _pz;
  mom[3] = _E ;
  return mom;
}
double PseudoJet::operator () (int i) const {
  switch(i) {
  case X:
    return px();
  case Y:
    return py();
  case Z:
    return pz();
  case T:
    return e();
  default:
    ostringstream err;
    err << "PseudoJet subscripting: bad index (" << i << ")";
    throw Error(err.str());
  }
  return 0.;
}
double PseudoJet::pseudorapidity() const {
  if (px() == 0.0 && py() ==0.0) return MaxRap;
  if (pz() == 0.0) return 0.0;
  double theta = atan(perp()/pz());
  if (theta < 0) theta += pi;
  return -log(tan(theta/2));
}
PseudoJet operator+ (const PseudoJet & jet1, const PseudoJet & jet2) {
  return PseudoJet(jet1.px()+jet2.px(),
		   jet1.py()+jet2.py(),
		   jet1.pz()+jet2.pz(),
		   jet1.E() +jet2.E()  );
}
PseudoJet operator- (const PseudoJet & jet1, const PseudoJet & jet2) {
  return PseudoJet(jet1.px()-jet2.px(),
		   jet1.py()-jet2.py(),
		   jet1.pz()-jet2.pz(),
		   jet1.E() -jet2.E()  );
}
PseudoJet operator* (double coeff, const PseudoJet & jet) {
  PseudoJet coeff_times_jet(jet);
  coeff_times_jet *= coeff;
  return coeff_times_jet;
}
PseudoJet operator* (const PseudoJet & jet, double coeff) {
  return coeff*jet;
}
PseudoJet operator/ (const PseudoJet & jet, double coeff) {
  return (1.0/coeff)*jet;
}
void PseudoJet::operator*=(double coeff) {
  _px *= coeff;
  _py *= coeff;
  _pz *= coeff;
  _E  *= coeff;
  _kt2*= coeff*coeff;
}
void PseudoJet::operator/=(double coeff) {
  (*this) *= 1.0/coeff;
}
void PseudoJet::operator+=(const PseudoJet & other_jet) {
  _px += other_jet._px;
  _py += other_jet._py;
  _pz += other_jet._pz;
  _E  += other_jet._E ;
  _finish_init(); // we need to recalculate phi,rap,kt2
}
void PseudoJet::operator-=(const PseudoJet & other_jet) {
  _px -= other_jet._px;
  _py -= other_jet._py;
  _pz -= other_jet._pz;
  _E  -= other_jet._E ;
  _finish_init(); // we need to recalculate phi,rap,kt2
}
bool operator==(const PseudoJet & a, const PseudoJet & b) {
  if (a.px() != b.px()) return false;
  if (a.py() != b.py()) return false;
  if (a.pz() != b.pz()) return false;
  if (a.E () != b.E ()) return false;
  if (a.user_index()    != b.user_index()) return false;
  if (a.cluster_hist_index() != b.cluster_hist_index()) return false;
  if (a.user_info_ptr() != b.user_info_ptr()) return false;
  if (a.structure_ptr() != b.structure_ptr()) return false;
  return true;
}
bool operator==(const PseudoJet & jet, const double val) {
  if (val != 0)
    throw Error("comparing a PseudoJet with a non-zero constant (double) is not allowed.");
  return (jet.px() == 0 && jet.py() == 0 &&
	  jet.pz() == 0 && jet.E() == 0);
}
PseudoJet & PseudoJet::boost(const PseudoJet & prest) {
  if (prest.px() == 0.0 && prest.py() == 0.0 && prest.pz() == 0.0)
    return *this;
  double m_local = prest.m();
  assert(m_local != 0);
  double pf4  = (  px()*prest.px() + py()*prest.py()
                 + pz()*prest.pz() + E()*prest.E() )/m_local;
  double fn   = (pf4 + E()) / (prest.E() + m_local);
  _px +=  fn*prest.px();
  _py +=  fn*prest.py();
  _pz +=  fn*prest.pz();
  _E = pf4;
  _finish_init(); // we need to recalculate phi,rap,kt2
  return *this;
}
PseudoJet & PseudoJet::unboost(const PseudoJet & prest) {
  if (prest.px() == 0.0 && prest.py() == 0.0 && prest.pz() == 0.0)
    return *this;
  double m_local = prest.m();
  assert(m_local != 0);
  double pf4  = ( -px()*prest.px() - py()*prest.py()
                 - pz()*prest.pz() + E()*prest.E() )/m_local;
  double fn   = (pf4 + E()) / (prest.E() + m_local);
  _px -=  fn*prest.px();
  _py -=  fn*prest.py();
  _pz -=  fn*prest.pz();
  _E = pf4;
  _finish_init(); // we need to recalculate phi,rap,kt2
  return *this;
}
bool have_same_momentum(const PseudoJet & jeta, const PseudoJet & jetb) {
  return jeta.px() == jetb.px()
    &&   jeta.py() == jetb.py()
    &&   jeta.pz() == jetb.pz()
    &&   jeta.E()  == jetb.E();
}
void PseudoJet::set_cached_rap_phi(double rap_in, double phi_in) {
  _rap = rap_in; _phi = phi_in;
  if (_phi >= twopi) _phi -= twopi;
  if (_phi < 0)      _phi += twopi;
}
void PseudoJet::reset_momentum_PtYPhiM(double pt_in, double y_in, double phi_in, double m_in) {
  assert(phi_in < 2*twopi && phi_in > -twopi);
  double ptm = (m_in == 0) ? pt_in : sqrt(pt_in*pt_in+m_in*m_in);
  double exprap = exp(y_in);
  double pminus = ptm/exprap;
  double pplus  = ptm*exprap;
  double px_local = pt_in*cos(phi_in);
  double py_local = pt_in*sin(phi_in);
  reset_momentum(px_local,py_local,0.5*(pplus-pminus),0.5*(pplus+pminus));
  set_cached_rap_phi(y_in,phi_in);
}
PseudoJet PtYPhiM(double pt, double y, double phi, double m) {
  assert(phi < 2*twopi && phi > -twopi);
  double ptm = (m == 0) ? pt : sqrt(pt*pt+m*m);
  double exprap = exp(y);
  double pminus = ptm/exprap;
  double pplus  = ptm*exprap;
  double px = pt*cos(phi);
  double py = pt*sin(phi);
  PseudoJet mom(px,py,0.5*(pplus-pminus),0.5*(pplus+pminus));
  mom.set_cached_rap_phi(y,phi);
  return mom;
}
double PseudoJet::kt_distance(const PseudoJet & other) const {
  double distance = min(_kt2, other._kt2);
  double dphi = abs(phi() - other.phi());
  if (dphi > pi) {dphi = twopi - dphi;}
  double drap = rap() - other.rap();
  distance = distance * (dphi*dphi + drap*drap);
  return distance;
}
double PseudoJet::plain_distance(const PseudoJet & other) const {
  double dphi = abs(phi() - other.phi());
  if (dphi > pi) {dphi = twopi - dphi;}
  double drap = rap() - other.rap();
  return (dphi*dphi + drap*drap);
}
double PseudoJet::delta_phi_to(const PseudoJet & other) const {
  double dphi = other.phi() - phi();
  if (dphi >  pi) dphi -= twopi;
  if (dphi < -pi) dphi += twopi;
  return dphi;
}
string PseudoJet::description() const{
  if (!_structure())
    return "standard PseudoJet (with no associated clustering information)";
  return _structure()->description();
}
bool PseudoJet::has_associated_cluster_sequence() const{
  return (_structure()) && (_structure->has_associated_cluster_sequence());
}
const ClusterSequence* PseudoJet::associated_cluster_sequence() const{
  if (! has_associated_cluster_sequence()) return NULL;
  return _structure->associated_cluster_sequence();
}
bool PseudoJet::has_valid_cluster_sequence() const{
  return (_structure()) && (_structure->has_valid_cluster_sequence());
}
const ClusterSequence * PseudoJet::validated_cs() const {
  return validated_structure_ptr()->validated_cs();
}
void PseudoJet::set_structure_shared_ptr(const SharedPtr &structure_in){
  _structure = structure_in;
}
bool PseudoJet::has_structure() const{
  return _structure();
}
const PseudoJetStructureBase* PseudoJet::structure_ptr() const {
  if (!_structure()) return NULL;
  return _structure();
}
PseudoJetStructureBase* PseudoJet::structure_non_const_ptr(){
  if (!_structure()) return NULL;
  return _structure();
}
const PseudoJetStructureBase* PseudoJet::validated_structure_ptr() const {
  if (!_structure())
    throw Error("Trying to access the structure of a PseudoJet which has no associated structure");
  return _structure();
}
const SharedPtr & PseudoJet::structure_shared_ptr() const {
  return _structure;
}
bool PseudoJet::has_partner(PseudoJet &partner) const{
  return validated_structure_ptr()->has_partner(*this, partner);
}
bool PseudoJet::has_child(PseudoJet &child) const{
  return validated_structure_ptr()->has_child(*this, child);
}
bool PseudoJet::has_parents(PseudoJet &parent1, PseudoJet &parent2) const{
  return validated_structure_ptr()->has_parents(*this, parent1, parent2);
}
bool PseudoJet::contains(const PseudoJet &constituent) const{
  return validated_structure_ptr()->object_in_jet(constituent, *this);
}
bool PseudoJet::is_inside(const PseudoJet &jet) const{
  return validated_structure_ptr()->object_in_jet(*this, jet);
}
bool PseudoJet::has_constituents() const{
  return (_structure()) && (_structure->has_constituents());
}
vector PseudoJet::constituents() const{
  return validated_structure_ptr()->constituents(*this);
}
bool PseudoJet::has_exclusive_subjets() const{
  return (_structure()) && (_structure->has_exclusive_subjets());
}
std::vector PseudoJet::exclusive_subjets (const double & dcut) const {
  return validated_structure_ptr()->exclusive_subjets(*this, dcut);
}
int PseudoJet::n_exclusive_subjets(const double & dcut) const {
  return validated_structure_ptr()->n_exclusive_subjets(*this, dcut);
}
std::vector PseudoJet::exclusive_subjets_up_to (int nsub) const {
  return validated_structure_ptr()->exclusive_subjets_up_to(*this, nsub);
}
std::vector PseudoJet::exclusive_subjets (int nsub) const {
  vector subjets = exclusive_subjets_up_to(nsub);
  if (int(subjets.size()) < nsub) {
    ostringstream err;
    err << "Requested " << nsub << " exclusive subjets, but there were only "
	<< subjets.size() << " particles in the jet";
    throw Error(err.str());
  }
  return subjets;
}
double PseudoJet::exclusive_subdmerge(int nsub) const {
  return validated_structure_ptr()->exclusive_subdmerge(*this, nsub);
}
double PseudoJet::exclusive_subdmerge_max(int nsub) const {
  return validated_structure_ptr()->exclusive_subdmerge_max(*this, nsub);
}
bool PseudoJet::has_pieces() const{
  return ((_structure()) && (_structure->has_pieces(*this)));
}
std::vector PseudoJet::pieces() const{
  return validated_structure_ptr()->pieces(*this);
}
PseudoJet::InexistentUserInfo::InexistentUserInfo() : Error("you attempted to perform a dynamic cast of a PseudoJet's extra info, but the extra info pointer was null")
{}
void sort_indices(vector & indices,
			 const vector & values) {
  IndexedSortHelper index_sort_helper(&values);
  sort(indices.begin(), indices.end(), index_sort_helper);
}
template vector  objects_sorted_by_values(
                       const vector & objects,
		       const vector & values) {
  assert(objects.size() == values.size());
  vector indices(values.size());
  for (size_t i = 0; i < indices.size(); i++) {indices[i] = i;}
  sort_indices(indices, values);
  vector objects_sorted(objects.size());
  for (size_t i = 0; i < indices.size(); i++) {
    objects_sorted[i] = objects[indices[i]];
  }
  return objects_sorted;
}
vector sorted_by_pt(const vector & jets) {
  vector minus_kt2(jets.size());
  for (size_t i = 0; i < jets.size(); i++) {minus_kt2[i] = -jets[i].kt2();}
  return objects_sorted_by_values(jets, minus_kt2);
}
vector sorted_by_rapidity(const vector & jets) {
  vector rapidities(jets.size());
  for (size_t i = 0; i < jets.size(); i++) {rapidities[i] = jets[i].rap();}
  return objects_sorted_by_values(jets, rapidities);
}
vector sorted_by_E(const vector & jets) {
  vector energies(jets.size());
  for (size_t i = 0; i < jets.size(); i++) {energies[i] = -jets[i].E();}
  return objects_sorted_by_values(jets, energies);
}
vector sorted_by_pz(const vector & jets) {
  vector pz(jets.size());
  for (size_t i = 0; i < jets.size(); i++) {pz[i] = jets[i].pz();}
  return objects_sorted_by_values(jets, pz);
}
PseudoJet join(const vector & pieces){
  PseudoJet result;  // automatically initialised to 0
  for (unsigned int i=0; i(cj_struct));
  return result;
}
PseudoJet join(const PseudoJet & j1){
  return join(vector(1,j1));
}
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2){
  vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  return join(pieces);
}
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3){
  vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  return join(pieces);
}
PseudoJet join(const PseudoJet & j1, const PseudoJet & j2, const PseudoJet & j3, const PseudoJet & j4){
  vector pieces;
  pieces.push_back(j1);
  pieces.push_back(j2);
  pieces.push_back(j3);
  pieces.push_back(j4);
  return join(pieces);
}
FJCORE_END_NAMESPACE
using namespace std;
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
const ClusterSequence* PseudoJetStructureBase::associated_cluster_sequence() const{
  return NULL;
}
const ClusterSequence * PseudoJetStructureBase::validated_cs() const{
  throw Error("This PseudoJet structure is not associated with a valid ClusterSequence");
}
bool PseudoJetStructureBase::has_partner(const PseudoJet & /*reference */, PseudoJet & /*partner*/) const{
  throw Error("This PseudoJet structure has no implementation for has_partner");
}
bool PseudoJetStructureBase::has_child(const PseudoJet & /*reference*/, PseudoJet & /*child*/) const{
  throw Error("This PseudoJet structure has no implementation for has_child");
}
bool PseudoJetStructureBase::has_parents(const PseudoJet & /*reference*/, PseudoJet &/*parent1*/, PseudoJet &/*parent2*/) const{
  throw Error("This PseudoJet structure has no implementation for has_parents");
}
bool PseudoJetStructureBase::object_in_jet(const PseudoJet & /*reference*/, const PseudoJet & /*jet*/) const{
  throw Error("This PseudoJet structure has no implementation for is_inside");
}
vector PseudoJetStructureBase::constituents(const PseudoJet &/*reference*/) const{
  throw Error("This PseudoJet structure has no implementation for constituents");
}
vector PseudoJetStructureBase::exclusive_subjets (const PseudoJet & /*reference*/, const double & /*dcut*/) const{
  throw Error("This PseudoJet structure has no implementation for exclusive_subjets");
}
int PseudoJetStructureBase::n_exclusive_subjets(const PseudoJet & /*reference*/, const double & /*dcut*/) const{
  throw Error("This PseudoJet structure has no implementation for n_exclusive_subjets");
}
vector PseudoJetStructureBase::exclusive_subjets_up_to (const PseudoJet & /*reference*/, int /*nsub*/) const{
  throw Error("This PseudoJet structure has no implementation for exclusive_subjets");
}
double PseudoJetStructureBase::exclusive_subdmerge(const PseudoJet & /*reference*/, int /*nsub*/) const{
  throw Error("This PseudoJet structure has no implementation for exclusive_submerge");
}
double PseudoJetStructureBase::exclusive_subdmerge_max(const PseudoJet & /*reference*/, int /*nsub*/) const{
  throw Error("This PseudoJet structure has no implementation for exclusive_submerge_max");
}
std::vector PseudoJetStructureBase::pieces(const PseudoJet & /*reference*/) const{
  throw Error("This PseudoJet structure has no implementation for pieces");
}
FJCORE_END_NAMESPACE
#include 
#include 
using namespace std;
FJCORE_BEGIN_NAMESPACE      // defined in fastjet/internal/base.hh
std::vector Selector::operator()(const std::vector & jets) const {
  std::vector result;
  const SelectorWorker * worker_local = validated_worker();
  if (worker_local->applies_jet_by_jet()) {
    for (std::vector::const_iterator jet = jets.begin();
         jet != jets.end(); jet++) {
      if (worker_local->pass(*jet)) result.push_back(*jet);
    }
  } else {
    std::vector jetptrs(jets.size());
    for (unsigned i = 0; i < jets.size(); i++) {
      jetptrs[i] = & jets[i];
    }
    worker_local->terminator(jetptrs);
    for (unsigned i = 0; i < jetptrs.size(); i++) {
      if (jetptrs[i]) result.push_back(jets[i]);
    }
  }
  return result;
}
unsigned int Selector::count(const std::vector & jets) const {
  unsigned n = 0;
  const SelectorWorker * worker_local = validated_worker();
  if (worker_local->applies_jet_by_jet()) {
    for (unsigned i = 0; i < jets.size(); i++) {
      if (worker_local->pass(jets[i])) n++;
    }
  } else {
    std::vector jetptrs(jets.size());
    for (unsigned i = 0; i < jets.size(); i++) {
      jetptrs[i] = & jets[i];
    }
    worker_local->terminator(jetptrs);
    for (unsigned i = 0; i < jetptrs.size(); i++) {
      if (jetptrs[i]) n++;
    }
  }
  return n;
}
void Selector::sift(const std::vector & jets,
		    std::vector & jets_that_pass,
		    std::vector & jets_that_fail
		    ) const {
  const SelectorWorker * worker_local = validated_worker();
  jets_that_pass.clear();
  jets_that_fail.clear();
  if (worker_local->applies_jet_by_jet()) {
    for (unsigned i = 0; i < jets.size(); i++) {
      if (worker_local->pass(jets[i])) {
	jets_that_pass.push_back(jets[i]);
      } else {
	jets_that_fail.push_back(jets[i]);
      }
    }
  } else {
    std::vector jetptrs(jets.size());
    for (unsigned i = 0; i < jets.size(); i++) {
      jetptrs[i] = & jets[i];
    }
    worker_local->terminator(jetptrs);
    for (unsigned i = 0; i < jetptrs.size(); i++) {
      if (jetptrs[i]) {
	jets_that_pass.push_back(jets[i]);
      } else {
	jets_that_fail.push_back(jets[i]);
      }
    }
  }
}
bool SelectorWorker::has_finite_area() const {
  if (! is_geometric()) return false;
  double rapmin, rapmax;
  get_rapidity_extent(rapmin, rapmax);
  return (rapmax != std::numeric_limits::infinity())
    &&  (-rapmin != std::numeric_limits::infinity());
}
class SW_Identity : public SelectorWorker {
public:
  SW_Identity(){}
  virtual bool pass(const PseudoJet &) const {
    return true;
  }
  virtual void terminator(vector &) const {
    return;
  }
  virtual string description() const { return "Identity";}
  virtual bool is_geometric() const { return true;}
};
Selector SelectorIdentity() {
  return Selector(new SW_Identity);
}
class SW_Not : public SelectorWorker {
public:
  SW_Not(const Selector & s) : _s(s) {}
  virtual SelectorWorker* copy(){ return new SW_Not(*this);}
  virtual bool pass(const PseudoJet & jet) const {
    if (!applies_jet_by_jet())
      throw Error("Cannot apply this selector worker to an individual jet");
    return ! _s.pass(jet);
  }
  virtual bool applies_jet_by_jet() const {return _s.applies_jet_by_jet();}
  virtual void terminator(vector & jets) const {
    if (applies_jet_by_jet()){
      SelectorWorker::terminator(jets);
      return;
    }
    vector s_jets = jets;
    _s.worker()->terminator(s_jets);
    for (unsigned int i=0; i & jets) const {
    if (applies_jet_by_jet()){
      SelectorWorker::terminator(jets);
      return;
    }
    vector s1_jets = jets;
    _s1.worker()->terminator(s1_jets);
    _s2.worker()->terminator(jets);
    for (unsigned int i=0; i & jets) const {
    if (applies_jet_by_jet()){
      SelectorWorker::terminator(jets);
      return;
    }
    vector s1_jets = jets;
    _s1.worker()->terminator(s1_jets);
    _s2.worker()->terminator(jets);
    for (unsigned int i=0; i & jets) const {
    if (applies_jet_by_jet()){
      SelectorWorker::terminator(jets);
      return;
    }
    _s2.worker()->terminator(jets);
    _s1.worker()->terminator(jets);
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << "(" << _s1.description() << " * " << _s2.description() << ")";
    return ostr.str();
  }
};
Selector operator*(const Selector & s1, const Selector & s2) {
  return Selector(new SW_Mult(s1,s2));
}
class QuantityBase{
public:
  QuantityBase(double q) : _q(q){}
  virtual ~QuantityBase(){}
  virtual double operator()(const PseudoJet & jet ) const =0;
  virtual string description() const =0;
  virtual bool is_geometric() const { return false;}
  virtual double comparison_value() const {return _q;}
  virtual double description_value() const {return comparison_value();}
protected:
  double _q;
};
class QuantitySquareBase : public QuantityBase{
public:
  QuantitySquareBase(double sqrtq) : QuantityBase(sqrtq*sqrtq), _sqrtq(sqrtq){}
  virtual double description_value() const {return _sqrtq;}
protected:
  double _sqrtq;
};
template
class SW_QuantityMin : public SelectorWorker{
public:
  SW_QuantityMin(double qmin) : _qmin(qmin) {}
  virtual bool pass(const PseudoJet & jet) const {return _qmin(jet) >= _qmin.comparison_value();}
  virtual string description() const {
    ostringstream ostr;
    ostr << _qmin.description() << " >= " << _qmin.description_value();
    return ostr.str();
  }
  virtual bool is_geometric() const { return _qmin.is_geometric();}
protected:
  QuantityType _qmin;     ///< the cut
};
template
class SW_QuantityMax : public SelectorWorker {
public:
  SW_QuantityMax(double qmax) : _qmax(qmax) {}
  virtual bool pass(const PseudoJet & jet) const {return _qmax(jet) <= _qmax.comparison_value();}
  virtual string description() const {
    ostringstream ostr;
    ostr << _qmax.description() << " <= " << _qmax.description_value();
    return ostr.str();
  }
  virtual bool is_geometric() const { return _qmax.is_geometric();}
protected:
  QuantityType _qmax;   ///< the cut
};
template
class SW_QuantityRange : public SelectorWorker {
public:
  SW_QuantityRange(double qmin, double qmax) : _qmin(qmin), _qmax(qmax) {}
  virtual bool pass(const PseudoJet & jet) const {
    double q = _qmin(jet); // we could identically use _qmax
    return (q >= _qmin.comparison_value()) && (q <= _qmax.comparison_value());
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << _qmin.description_value() << " <= " << _qmin.description() << " <= " << _qmax.description_value();
    return ostr.str();
  }
  virtual bool is_geometric() const { return _qmin.is_geometric();}
protected:
  QuantityType _qmin;   // the lower cut
  QuantityType _qmax;   // the upper cut
};
class QuantityPt2 : public QuantitySquareBase{
public:
  QuantityPt2(double pt) : QuantitySquareBase(pt){}
  virtual double operator()(const PseudoJet & jet ) const { return jet.perp2();}
  virtual string description() const {return "pt";}
};
Selector SelectorPtMin(double ptmin) {
  return Selector(new SW_QuantityMin(ptmin));
}
Selector SelectorPtMax(double ptmax) {
  return Selector(new SW_QuantityMax(ptmax));
}
Selector SelectorPtRange(double ptmin, double ptmax) {
  return Selector(new SW_QuantityRange(ptmin, ptmax));
}
class QuantityEt2 : public QuantitySquareBase{
public:
  QuantityEt2(double Et) : QuantitySquareBase(Et){}
  virtual double operator()(const PseudoJet & jet ) const { return jet.Et2();}
  virtual string description() const {return "Et";}
};
Selector SelectorEtMin(double Etmin) {
  return Selector(new SW_QuantityMin(Etmin));
}
Selector SelectorEtMax(double Etmax) {
  return Selector(new SW_QuantityMax(Etmax));
}
Selector SelectorEtRange(double Etmin, double Etmax) {
  return Selector(new SW_QuantityRange(Etmin, Etmax));
}
class QuantityE : public QuantityBase{
public:
  QuantityE(double E) : QuantityBase(E){}
  virtual double operator()(const PseudoJet & jet ) const { return jet.E();}
  virtual string description() const {return "E";}
};
Selector SelectorEMin(double Emin) {
  return Selector(new SW_QuantityMin(Emin));
}
Selector SelectorEMax(double Emax) {
  return Selector(new SW_QuantityMax(Emax));
}
Selector SelectorERange(double Emin, double Emax) {
  return Selector(new SW_QuantityRange(Emin, Emax));
}
class QuantityM2 : public QuantitySquareBase{
public:
  QuantityM2(double m) : QuantitySquareBase(m){}
  virtual double operator()(const PseudoJet & jet ) const { return jet.m2();}
  virtual string description() const {return "mass";}
};
Selector SelectorMassMin(double mmin) {
  return Selector(new SW_QuantityMin(mmin));
}
Selector SelectorMassMax(double mmax) {
  return Selector(new SW_QuantityMax(mmax));
}
Selector SelectorMassRange(double mmin, double mmax) {
  return Selector(new SW_QuantityRange(mmin, mmax));
}
class QuantityRap : public QuantityBase{
public:
  QuantityRap(double rap) : QuantityBase(rap){}
  virtual double operator()(const PseudoJet & jet ) const { return jet.rap();}
  virtual string description() const {return "rap";}
  virtual bool is_geometric() const { return true;}
};
class SW_RapMin : public SW_QuantityMin{
public:
  SW_RapMin(double rapmin) : SW_QuantityMin(rapmin){}
  virtual void get_rapidity_extent(double &rapmin, double & rapmax) const{
    rapmax = std::numeric_limits::max();
    rapmin = _qmin.comparison_value();
  }
};
class SW_RapMax : public SW_QuantityMax{
public:
  SW_RapMax(double rapmax) : SW_QuantityMax(rapmax){}
  virtual void get_rapidity_extent(double &rapmin, double & rapmax) const{
    rapmax = _qmax.comparison_value();
    rapmin = -std::numeric_limits::max();
  }
};
class SW_RapRange : public SW_QuantityRange{
public:
  SW_RapRange(double rapmin, double rapmax) : SW_QuantityRange(rapmin, rapmax){
    assert(rapmin<=rapmax);
  }
  virtual void get_rapidity_extent(double &rapmin, double & rapmax) const{
    rapmax = _qmax.comparison_value();
    rapmin = _qmin.comparison_value();
  }
  virtual bool has_known_area() const { return true;} ///< the area is analytically known
  virtual double known_area() const {
    return twopi * (_qmax.comparison_value()-_qmin.comparison_value());
  }
};
Selector SelectorRapMin(double rapmin) {
  return Selector(new SW_RapMin(rapmin));
}
Selector SelectorRapMax(double rapmax) {
  return Selector(new SW_RapMax(rapmax));
}
Selector SelectorRapRange(double rapmin, double rapmax) {
  return Selector(new SW_RapRange(rapmin, rapmax));
}
class QuantityAbsRap : public QuantityBase{
public:
  QuantityAbsRap(double absrap) : QuantityBase(absrap){}
  virtual double operator()(const PseudoJet & jet ) const { return abs(jet.rap());}
  virtual string description() const {return "|rap|";}
  virtual bool is_geometric() const { return true;}
};
class SW_AbsRapMax : public SW_QuantityMax{
public:
  SW_AbsRapMax(double absrapmax) : SW_QuantityMax(absrapmax){}
  virtual void get_rapidity_extent(double &rapmin, double & rapmax) const{
    rapmax =  _qmax.comparison_value();
    rapmin = -_qmax.comparison_value();
  }
  virtual bool has_known_area() const { return true;}   ///< the area is analytically known
  virtual double known_area() const {
    return twopi * 2 * _qmax.comparison_value();
  }
};
class SW_AbsRapRange : public SW_QuantityRange{
public:
  SW_AbsRapRange(double absrapmin, double absrapmax) : SW_QuantityRange(absrapmin, absrapmax){}
  virtual void get_rapidity_extent(double &rapmin, double & rapmax) const{
    rapmax =  _qmax.comparison_value();
    rapmin = -_qmax.comparison_value();
  }
  virtual bool has_known_area() const { return true;} ///< the area is analytically known
  virtual double known_area() const {
    return twopi * 2 * (_qmax.comparison_value()-max(_qmin.comparison_value(),0.0)); // this should handle properly absrapmin<0
  }
};
Selector SelectorAbsRapMin(double absrapmin) {
  return Selector(new SW_QuantityMin(absrapmin));
}
Selector SelectorAbsRapMax(double absrapmax) {
  return Selector(new SW_AbsRapMax(absrapmax));
}
Selector SelectorAbsRapRange(double rapmin, double rapmax) {
  return Selector(new SW_AbsRapRange(rapmin, rapmax));
}
class QuantityEta : public QuantityBase{
public:
  QuantityEta(double eta) : QuantityBase(eta){}
  virtual double operator()(const PseudoJet & jet ) const { return jet.eta();}
  virtual string description() const {return "eta";}
};
Selector SelectorEtaMin(double etamin) {
  return Selector(new SW_QuantityMin(etamin));
}
Selector SelectorEtaMax(double etamax) {
  return Selector(new SW_QuantityMax(etamax));
}
Selector SelectorEtaRange(double etamin, double etamax) {
  return Selector(new SW_QuantityRange(etamin, etamax));
}
class QuantityAbsEta : public QuantityBase{
public:
  QuantityAbsEta(double abseta) : QuantityBase(abseta){}
  virtual double operator()(const PseudoJet & jet ) const { return abs(jet.eta());}
  virtual string description() const {return "|eta|";}
  virtual bool is_geometric() const { return true;}
};
Selector SelectorAbsEtaMin(double absetamin) {
  return Selector(new SW_QuantityMin(absetamin));
}
Selector SelectorAbsEtaMax(double absetamax) {
  return Selector(new SW_QuantityMax(absetamax));
}
Selector SelectorAbsEtaRange(double absetamin, double absetamax) {
  return Selector(new SW_QuantityRange(absetamin, absetamax));
}
class SW_PhiRange : public SelectorWorker {
public:
  SW_PhiRange(double phimin, double phimax) : _phimin(phimin), _phimax(phimax){
    assert(_phimin<_phimax);
    assert(_phimin>-twopi);
    assert(_phimax<2*twopi);
    _phispan = _phimax - _phimin;
  }
  virtual bool pass(const PseudoJet & jet) const {
    double dphi=jet.phi()-_phimin;
    if (dphi >= twopi) dphi -= twopi;
    if (dphi < 0)      dphi += twopi;
    return (dphi <= _phispan);
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << _phimin << " <= phi <= " << _phimax;
    return ostr.str();
  }
  virtual bool is_geometric() const { return true;}
protected:
  double _phimin;   // the lower cut
  double _phimax;   // the upper cut
  double _phispan;  // the span of the range
};
Selector SelectorPhiRange(double phimin, double phimax) {
  return Selector(new SW_PhiRange(phimin, phimax));
}
class SW_RapPhiRange : public SW_And{
public:
  SW_RapPhiRange(double rapmin, double rapmax, double phimin, double phimax)
    : SW_And(SelectorRapRange(rapmin, rapmax), SelectorPhiRange(phimin, phimax)){
    _known_area = ((phimax-phimin > twopi) ? twopi : phimax-phimin) * (rapmax-rapmin);
  }
  virtual double known_area() const{
    return _known_area;
  }
protected:
  double _known_area;
};
Selector SelectorRapPhiRange(double rapmin, double rapmax, double phimin, double phimax) {
  return Selector(new SW_RapPhiRange(rapmin, rapmax, phimin, phimax));
}
class SW_NHardest : public SelectorWorker {
public:
  SW_NHardest(unsigned int n) : _n(n) {};
  virtual bool pass(const PseudoJet &) const {
    if (!applies_jet_by_jet())
      throw Error("Cannot apply this selector worker to an individual jet");
    return false;
  }
  virtual void terminator(vector & jets) const {
    if (jets.size() < _n) return;
    vector minus_pt2(jets.size());
    vector indices(jets.size());
    for (unsigned int i=0; iperp2() : 0.0;
    }
    IndexedSortHelper sort_helper(& minus_pt2);
    partial_sort(indices.begin(), indices.begin()+_n, indices.end(), sort_helper);
    for (unsigned int i=_n; i= _radius_in2);
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << sqrt(_radius_in2) << " <= distance from the centre <= " << sqrt(_radius_out2);
    return ostr.str();
  }
  virtual void get_rapidity_extent(double & rapmin, double & rapmax) const{
    if (! _is_initialised)
      throw Error("To use a SelectorDoughnut (or any selector that requires a reference), you first have to call set_reference(...)");
    rapmax = _reference.rap()+sqrt(_radius_out2);
    rapmin = _reference.rap()-sqrt(_radius_out2);
  }
  virtual bool is_geometric() const { return true;}    ///< implies a finite area
  virtual bool has_finite_area() const { return true;} ///< regardless of the reference
  virtual bool has_known_area() const { return true;}  ///< the area is analytically known
  virtual double known_area() const {
    return pi * (_radius_out2-_radius_in2);
  }
protected:
  double _radius_in2, _radius_out2;
};
Selector SelectorDoughnut(const double & radius_in, const double & radius_out) {
  return Selector(new SW_Doughnut(radius_in, radius_out));
}
class SW_Strip : public SW_WithReference {
public:
  SW_Strip(const double &delta) : _delta(delta) {}
  virtual SelectorWorker* copy(){ return new SW_Strip(*this);}
  virtual bool pass(const PseudoJet & jet) const {
    if (! _is_initialised)
      throw Error("To use a SelectorStrip (or any selector that requires a reference), you first have to call set_reference(...)");
    return abs(jet.rap()-_reference.rap()) <= _delta;
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << "|rap - rap_reference| <= " << _delta;
    return ostr.str();
  }
  virtual void get_rapidity_extent(double & rapmin, double & rapmax) const{
    if (! _is_initialised)
      throw Error("To use a SelectorStrip (or any selector that requires a reference), you first have to call set_reference(...)");
    rapmax = _reference.rap()+_delta;
    rapmin = _reference.rap()-_delta;
  }
  virtual bool is_geometric() const { return true;}    ///< implies a finite area
  virtual bool has_finite_area() const { return true;} ///< regardless of the reference
  virtual bool has_known_area() const { return true;}  ///< the area is analytically known
  virtual double known_area() const {
    return twopi * 2 * _delta;
  }
protected:
  double _delta;
};
Selector SelectorStrip(const double & half_width) {
  return Selector(new SW_Strip(half_width));
}
class SW_Rectangle : public SW_WithReference {
public:
  SW_Rectangle(const double &delta_rap, const double &delta_phi)
    : _delta_rap(delta_rap),  _delta_phi(delta_phi) {}
  virtual SelectorWorker* copy(){ return new SW_Rectangle(*this);}
  virtual bool pass(const PseudoJet & jet) const {
    if (! _is_initialised)
      throw Error("To use a SelectorRectangle (or any selector that requires a reference), you first have to call set_reference(...)");
    return (abs(jet.rap()-_reference.rap()) <= _delta_rap) && (abs(jet.delta_phi_to(_reference)) <= _delta_phi);
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << "|rap - rap_reference| <= " << _delta_rap << " && |phi - phi_reference| <= " << _delta_phi ;
    return ostr.str();
  }
  virtual void get_rapidity_extent(double & rapmin, double & rapmax) const{
    if (! _is_initialised)
      throw Error("To use a SelectorRectangle (or any selector that requires a reference), you first have to call set_reference(...)");
    rapmax = _reference.rap()+_delta_rap;
    rapmin = _reference.rap()-_delta_rap;
  }
  virtual bool is_geometric() const { return true;}    ///< implies a finite area
  virtual bool has_finite_area() const { return true;} ///< regardless of the reference
  virtual bool has_known_area() const { return true;}  ///< the area is analytically known
  virtual double known_area() const {
    return 4 * _delta_rap * _delta_phi;
  }
protected:
  double _delta_rap, _delta_phi;
};
Selector SelectorRectangle(const double & half_rap_width, const double & half_phi_width) {
  return Selector(new SW_Rectangle(half_rap_width, half_phi_width));
}
class SW_PtFractionMin : public SW_WithReference {
public:
  SW_PtFractionMin(double fraction) : _fraction2(fraction*fraction){}
  virtual SelectorWorker* copy(){ return new SW_PtFractionMin(*this);}
  virtual bool pass(const PseudoJet & jet) const {
    if (! _is_initialised)
      throw Error("To use a SelectorPtFractionMin (or any selector that requires a reference), you first have to call set_reference(...)");
    return (jet.perp2() >= _fraction2*_reference.perp2());
  }
  virtual string description() const {
    ostringstream ostr;
    ostr << "pt >= " << sqrt(_fraction2) << "* pt_ref";
    return ostr.str();
  }
protected:
  double _fraction2;
};
Selector SelectorPtFractionMin(double fraction){
  return Selector(new SW_PtFractionMin(fraction));
}
class SW_IsZero : public SelectorWorker {
public:
  SW_IsZero(){}
  virtual bool pass(const PseudoJet & jet) const {
    return jet==0;
  }
  virtual string description() const { return "zero";}
};
Selector SelectorIsZero(){
  return Selector(new SW_IsZero());
}
Selector & Selector::operator &=(const Selector & b){
  _worker.reset(new SW_And(*this, b));
  return *this;
}
Selector & Selector::operator |=(const Selector & b){
  _worker.reset(new SW_Or(*this, b));
  return *this;
}
FJCORE_END_NAMESPACE      // defined in fastjet/internal/base.hh
pythia8-8.1.86.orig/src/SigmaCompositeness.cc0000644000175000017500000006144612357054763017300 0ustar  sunsun// SigmaCompositeness.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// compositeness simulation classes.

#include "Pythia8/SigmaCompositeness.h"

namespace Pythia8 {

//==========================================================================

// Sigma1qg2qStar class.
// Cross section for q g -> q^* (excited quark state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1qg2qStar::initProc() {

  // Set up process properties from the chosen quark flavour.
  idRes         = 4000000 + idq;
  codeSave      = 4000 + idq;
  if      (idq == 1) nameSave = "d g -> d^*";
  else if (idq == 2) nameSave = "u g -> u^*";
  else if (idq == 3) nameSave = "s g -> s^*";
  else if (idq == 4) nameSave = "c g -> c^*";
  else               nameSave = "b g -> b^*";

  // Store q* mass and width for propagator.
  mRes          = particleDataPtr->m0(idRes);
  GammaRes      = particleDataPtr->mWidth(idRes);
  m2Res         = mRes*mRes;
  GamMRat       = GammaRes / mRes;

  // Locally stored properties and couplings.
  Lambda        = settingsPtr->parm("ExcitedFermion:Lambda");
  coupFcol      = settingsPtr->parm("ExcitedFermion:coupFcol");

  // Set pointer to particle properties and decay table.
  qStarPtr      = particleDataPtr->particleDataEntryPtr(idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1qg2qStar::sigmaKin() {

  // Incoming width for correct quark.
  widthIn  = pow3(mH) * alpS * pow2(coupFcol) / (3. * pow2(Lambda));

  // Set up Breit-Wigner.
  sigBW    = M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat) for specific incoming flavours.

double Sigma1qg2qStar::sigmaHat() {

  // Identify whether correct incoming flavours.
  int idqNow = (id2 == 21) ? id1 : id2;
  if (abs(idqNow) != idq) return 0.;

  // Outgoing width and total sigma. Done.
  return widthIn * sigBW * qStarPtr->resWidthOpen(idqNow, mH);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1qg2qStar::setIdColAcol() {

  // Flavours.
  int idqNow = (id2 == 21) ? id1 : id2;
  int idqStar = (idqNow > 0) ? idRes : -idRes;
  setId( id1, id2, idqStar);

  // Colour flow topology.
  if (id1 == idqNow) setColAcol( 1, 0, 2, 1, 2, 0);
  else               setColAcol( 2, 1, 1, 0, 2, 0);
  if (idqNow < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for q* decay angle.
  
double Sigma1qg2qStar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // q* should sit in entry 5. Sequential Z/W decay assumed isotropic.
  if (iResBeg != 5 || iResEnd != 5) return 1.;
   
  // Sign of asymmetry.
  int sideIn    = (process[3].idAbs() < 20) ? 1 : 2;
  int sideOut   = (process[6].idAbs() < 20) ? 1 : 2;
  double eps    = (sideIn == sideOut) ? 1. : -1.;

  // Phase space factors.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);

  // Reconstruct decay angle. Default isotropic decay.
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);
  double wt     = 1.;
  double wtMax  = 1.;

  // Decay q* -> q (g/gamma) or q (Z^0/W^+-).
  int idBoson   = (sideOut == 1) ? process[7].idAbs() : process[6].idAbs();
  if (idBoson == 21 || idBoson == 22) {
    wt          = 1. + eps * cosThe;
    wtMax       = 2.;
  } else if (idBoson == 23 || idBoson == 24) {
    double mrB  = (sideOut == 1) ? mr2 : mr1;
    double ratB = (1. - 0.5 * mrB) / (1 + 0.5 * mrB);
    wt          = 1. + eps * cosThe * ratB;
    wtMax       = 1. + ratB;
  }

  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma1lgm2lStar class.
// Cross section for l gamma -> l^* (excited lepton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1lgm2lStar::initProc() {

  // Set up process properties from the chosen lepton flavour.
  idRes         = 4000000 + idl;
  codeSave      = 4000 + idl;
  if      (idl == 11) nameSave = "e gamma -> e^*";
  else if (idl == 13) nameSave = "mu gamma -> mu^*";
  else                nameSave = "tau gamma -> tau^*";

  // Store l* mass and width for propagator.
  mRes          = particleDataPtr->m0(idRes);
  GammaRes      = particleDataPtr->mWidth(idRes);
  m2Res         = mRes*mRes;
  GamMRat       = GammaRes / mRes;

  // Locally stored properties and couplings.
  Lambda        = settingsPtr->parm("ExcitedFermion:Lambda");
  double coupF  = settingsPtr->parm("ExcitedFermion:coupF");
  double coupFp = settingsPtr->parm("ExcitedFermion:coupFprime");
  coupChg       = -0.5 * coupF - 0.5 * coupFp;

  // Set pointer to particle properties and decay table.
  qStarPtr      = particleDataPtr->particleDataEntryPtr(idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1lgm2lStar::sigmaKin() {

  // Incoming width for correct lepton.
  widthIn  = pow3(mH) * alpEM * pow2(coupChg) / pow2(Lambda);

  // Set up Breit-Wigner.
  sigBW    = M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat) for specific incoming flavours.

double Sigma1lgm2lStar::sigmaHat() {

  // Identify whether correct incoming flavours.
  int idlNow = (id2 == 22) ? id1 : id2;
  if (abs(idlNow) != idl) return 0.;

  // Outgoing width and total sigma. Done.
  return widthIn * sigBW * qStarPtr->resWidthOpen(idlNow, mH);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1lgm2lStar::setIdColAcol() {

  // Flavours.
  int idlNow = (id2 == 22) ? id1 : id2;
  int idlStar = (idlNow > 0) ? idRes : -idRes;
  setId( id1, id2, idlStar);

  // No colour flow.
  setColAcol( 0, 0, 0, 0, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for l* decay angle.
  
double Sigma1lgm2lStar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // l* should sit in entry 5. Sequential Z/W decay assumed isotropic.
  if (iResBeg != 5 || iResEnd != 5) return 1.;
   
  // Sign of asymmetry.
  int sideIn    = (process[3].idAbs() < 20) ? 1 : 2;
  int sideOut   = (process[6].idAbs() < 20) ? 1 : 2;
  double eps    = (sideIn == sideOut) ? 1. : -1.;

  // Phase space factors.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);

  // Reconstruct decay angle. Default isotropic decay.
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);
  double wt     = 1.;
  double wtMax  = 1.;

  // Decay l* -> l gamma or l (Z^0/W^+-).
  int idBoson   = (sideOut == 1) ? process[7].idAbs() : process[6].idAbs();
  if (idBoson == 22) {
    wt          = 1. + eps * cosThe;
    wtMax       = 2.;
  } else if (idBoson == 23 || idBoson == 24) {
    double mrB  = (sideOut == 1) ? mr2 : mr1;
    double ratB = (1. - 0.5 * mrB) / (1 + 0.5 * mrB);
    wt          = 1. + eps * cosThe * ratB;
    wtMax       = 1. + ratB;
  }

  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma2qq2qStarq class.
// Cross section for q q' -> q^* q' (excited quark state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qq2qStarq::initProc() {

  // Set up process properties from the chosen quark flavour.
  idRes         = 4000000 + idq;
  codeSave      = 4020 + idq;
  if      (idq == 1) nameSave = "q q -> d^* q";
  else if (idq == 2) nameSave = "q q -> u^* q";
  else if (idq == 3) nameSave = "q q -> s^* q";
  else if (idq == 4) nameSave = "q q -> c^* q";
  else               nameSave = "q q -> b^* q";

  // Locally stored properties and couplings.
  Lambda        = settingsPtr->parm("ExcitedFermion:Lambda");
  preFac        = M_PI / pow4(Lambda);

  // Secondary open width fractions.
  openFracPos = particleDataPtr->resOpenFrac( idRes);
  openFracNeg = particleDataPtr->resOpenFrac(-idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qq2qStarq::sigmaKin() {

  // Two possible expressions, for like or unlike sign.
  sigmaA = preFac * (1. - s3 / sH);
  sigmaB = preFac * (-uH) * (sH + tH) / sH2;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat) for specific incoming flavours.

double Sigma2qq2qStarq::sigmaHat() {

  // Identify different allowed incoming flavour combinations.
  int id1Abs   = abs(id1);
  int id2Abs   = abs(id2);
  double open1 = (id1 > 0) ? openFracPos : openFracNeg;
  double open2 = (id2 > 0) ? openFracPos : openFracNeg;
  double sigma = 0.;
  if (id1 * id2 > 0) {
    if (id1Abs == idq) sigma += (4./3.) * sigmaA * open1;
    if (id2Abs == idq) sigma += (4./3.) * sigmaA * open2;
  } else if (id1Abs == idq && id2 == -id1)
    sigma = (8./3.) * sigmaB * (open1 + open2);
  else if (id2 == -id1) sigma = sigmaB * (open1 + open2);
  else if (id1Abs == idq) sigma = sigmaB * open1;
  else if (id2Abs == idq) sigma = sigmaB * open2;

  // Done.
  return sigma;
 
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qq2qStarq::setIdColAcol() {

  // Flavours: either side may have been excited.
  int idAbs1 = abs(id1);
  int idAbs2 = abs(id2);
  double open1 = 0.;
  double open2 = 0.;
  if (idAbs1 == idq) open1 = (id1 > 0) ? openFracPos : openFracNeg;
  if (idAbs2 == idq) open2 = (id2 > 0) ? openFracPos : openFracNeg;
  if (open1 == 0. && open2 == 0.) {
    open1  = (id1 > 0) ? openFracPos : openFracNeg;
    open2  = (id2 > 0) ? openFracPos : openFracNeg;
  }
  bool excite1 = (open1 > 0.);
  if (open1 > 0. && open2 > 0.) excite1
    = (rndmPtr->flat() * (open1 + open2) < open1);

  // Always excited quark in slot 3 so colour flow flipped or not.
  if (excite1) {
    id3    = (id1 > 0) ? idRes : -idRes;
    id4    = id2;
    // Special case for s-channel like production.
    if ((idAbs1 == idAbs2) && (id1 * id2 < 0)) {
      id4 = (id3 > 0) ? -idq : idq;
    }
    if (id1 * id2 > 0) setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
    else               setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
    if (id1 < 0) swapColAcol();
  } else {
    id3    = (id2 > 0) ? idRes : -idRes;
    id4    = id1;
    // Special case for s-channel like production.
    if ((idAbs1 == idAbs2) && (id1 * id2 < 0)) {
      id4 = (id3 > 0) ? -idq : idq;
    }
    swapTU = true;
    if (id1 * id2 > 0) setColAcol( 1, 0, 2, 0, 2, 0, 1, 0);
    else               setColAcol( 1, 0, 0, 2, 0, 2, 1, 0);
    if (id1 < 0) swapColAcol();
  }
  setId( id1, id2, id3, id4);

}

//--------------------------------------------------------------------------

// Evaluate weight for q* decay angle.
// SA: Angles dist. for decay q* -> q V, based on Eq. 1.7
// in CERN Yellow Reports 90-10 vol.2, p. 1014 to 1021.
  
double Sigma2qq2qStarq::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // q* should sit in entry 5. Sequential Z/W decay assumed isotropic.
  if (iResBeg != 5 && iResEnd != 5) return 1.;

  // Phase space factors.
  double mr1    = pow2(process[7].m() / process[5].m());
  double mr2    = pow2(process[8].m() / process[5].m());

  // Reconstruct decay angle in q* CoM frame.
  int  idAbs3 = process[7].idAbs();
  Vec4 pQStarCom = (idAbs3 < 20) ? process[7].p() : process[8].p();
  pQStarCom.bstback(process[5].p());
  double cosThe = costheta(pQStarCom, process[5].p());
  double wt     = 1.;

  // Decay q* -> q (g/gamma) or q (Z^0/W^+-).
  int idBoson   = (idAbs3 < 20) ? process[8].idAbs() : process[7].idAbs();
  if (idBoson == 21 || idBoson == 22) {
    wt          = 0.5 * (1. + cosThe);
  } else if (idBoson == 23 || idBoson == 24) {
    double mrB  = (idAbs3 < 20) ? mr2 : mr1;
    double kTrm = 0.5 * (mrB * (1. - cosThe));
    wt          = (1. + cosThe + kTrm) / (2 + mrB);
  }

  // Done.
  return wt;
}

//==========================================================================

// Sigma2qqbar2lStarlbar class.
// Cross section for q qbar -> l^* lbar (excited lepton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2lStarlbar::initProc() {

  // Set up process properties from the chosen lepton flavour.
  idRes         = 4000000 + idl;
  codeSave      = 4020 + idl;
  if      (idl == 11) nameSave = "q qbar -> e^*+- e^-+";
  else if (idl == 12) nameSave = "q qbar -> nu_e^* nu_ebar";
  else if (idl == 13) nameSave = "q qbar -> mu^*+- mu^-+";
  else if (idl == 14) nameSave = "q qbar -> nu_mu^* nu_mubar";
  else if (idl == 15) nameSave = "q qbar -> tau^*+- tau^-+";
  else                nameSave = "q qbar -> nu_tau^* nu_taubar";

  // Secondary open width fractions.
  openFracPos = particleDataPtr->resOpenFrac( idRes);
  openFracNeg = particleDataPtr->resOpenFrac(-idRes);

  // Locally stored properties and couplings.
  Lambda        = settingsPtr->parm("ExcitedFermion:Lambda");
  preFac        = (M_PI / pow4(Lambda)) * (openFracPos + openFracNeg) / 3.;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qqbar2lStarlbar::sigmaKin() {

  // Only one possible expressions
  sigma = preFac * (-uH) * (sH + tH) / sH2;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2lStarlbar::setIdColAcol() {

  // Flavours: either lepton or antilepton may be excited.
  if (rndmPtr->flat() * (openFracPos + openFracNeg) < openFracPos) {
    setId( id1, id2, idRes, -idl);
    if (id1 < 0) swapTU = true;
  } else {
    setId( id1, id2, -idRes, idl);
    if (id1 > 0) swapTU = true;
  }

  // Colour flow trivial.
  if (id1 > 0) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else         setColAcol( 0, 1, 1, 0, 0, 0, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for l* decay angle.
// SA: Angles dist. for decay l* -> l V, based on Eq. 1.7
// in CERN Yellow Reports 90-10 vol.2, p. 1014 to 1021.
  
double Sigma2qqbar2lStarlbar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // l* should sit in entry 5. Sequential Z/W decay assumed isotropic.
  if (iResBeg != 5 && iResEnd != 5) return 1.;

  // Phase space factors.
  double mr1    = pow2(process[7].m() / process[5].m());
  double mr2    = pow2(process[8].m() / process[5].m());

  // Reconstruct decay angle in l* CoM frame.
  int  idAbs3 = process[7].idAbs();
  Vec4 pLStarCom = (idAbs3 < 20) ? process[7].p() : process[8].p();
  pLStarCom.bstback(process[5].p());
  double cosThe = costheta(pLStarCom, process[5].p());
  double wt     = 1.;

  // Decay, l* -> l + gamma/Z^0/W^+-).
  int idBoson   = (idAbs3 < 20) ? process[8].idAbs() : process[7].idAbs();
  if (idBoson == 22) {
    wt          = 0.5 * (1. + cosThe);
  } else if (idBoson == 23 || idBoson == 24) {
    double mrB  = (idAbs3 < 20) ? mr2 : mr1;
    double kTrm = 0.5 * (mrB * (1. - cosThe));
    wt          = (1. + cosThe + kTrm) / (2 + mrB);
  }

  // Done.
  return wt;
}

//==========================================================================

// Sigma2QCqq2qq class.
// Cross section for q q -> q q (quark contact interactions).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2QCqq2qq::initProc() {

  qCLambda2  = settingsPtr->parm("ContactInteractions:Lambda");
  qCetaLL    = settingsPtr->mode("ContactInteractions:etaLL");
  qCetaRR    = settingsPtr->mode("ContactInteractions:etaRR");
  qCetaLR    = settingsPtr->mode("ContactInteractions:etaLR");
  qCLambda2 *= qCLambda2;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2QCqq2qq::sigmaKin() {

  // Calculate kinematics dependence for different terms.
  sigT   = (4./9.) * (sH2 + uH2) / tH2;
  sigU   = (4./9.) * (sH2 + tH2) / uH2;
  sigTU  = - (8./27.) * sH2 / (tH * uH);
  sigST  = - (8./27.) * uH2 / (sH * tH);
  
  sigQCSTU = sH2 * (1 / tH + 1 / uH);
  sigQCUTS = uH2 * (1 / tH + 1 / sH);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2QCqq2qq::sigmaHat() {

  // Terms from QC contact interactions.
  double sigQCLL = 0;
  double sigQCRR = 0;
  double sigQCLR = 0;

  // Combine cross section terms; factor 1/2 when identical quarks.
  // q q -> q q
  if (id2 ==  id1) {

    // SM terms.
    sigSum = 0.5 * (sigT + sigU + sigTU);
    
    // Contact terms.
    sigQCLL = (8./9.) * alpS * (qCetaLL/qCLambda2) * sigQCSTU
            + (8./3.) * pow2(qCetaLL/qCLambda2) * sH2;
    sigQCRR = (8./9.) * alpS * (qCetaRR/qCLambda2) * sigQCSTU
            + (8./3.) * pow2(qCetaRR/qCLambda2) * sH2;
    sigQCLR = 2. * (uH2 + tH2) * pow2(qCetaLR/qCLambda2);

    sigQCLL /= 2;
    sigQCRR /= 2;
    sigQCLR /= 2;

  // q qbar -> q qbar, without pure s-channel term.
  } else if (id2 == -id1) {

    // SM terms.
    sigSum = sigT + sigST;

    // Contact terms, minus the terms included in qqbar2qqbar.
    sigQCLL = (8./9.) * alpS * (qCetaLL/qCLambda2) * sigQCUTS
            + (5./3.) * pow2(qCetaLL/qCLambda2) * uH2;
    sigQCRR = (8./9.) * alpS * (qCetaRR/qCLambda2) * sigQCUTS
            + (5./3.) * pow2(qCetaRR/qCLambda2) * uH2;
    sigQCLR = 2. * sH2 * pow2(qCetaLR/qCLambda2);

  // q q' -> q q' or q qbar' -> q qbar'
  } else {

    // SM terms.
    sigSum = sigT;

    // Contact terms.
    if (id1 * id2 > 0) {
      sigQCLL = pow2(qCetaLL/qCLambda2) * sH2;
      sigQCRR = pow2(qCetaRR/qCLambda2) * sH2;
      sigQCLR = 2 * pow2(qCetaLR/qCLambda2) * uH2;
    } else {
      sigQCLL = pow2(qCetaLL/qCLambda2) * uH2;
      sigQCRR = pow2(qCetaRR/qCLambda2) * uH2;
      sigQCLR = 2 * pow2(qCetaLR/qCLambda2) * sH2;
    }
  }

  // Answer.
  double sigma = (M_PI/sH2) * ( pow2(alpS) * sigSum
               + sigQCLL + sigQCRR + sigQCLR );
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2QCqq2qq::setIdColAcol() {

  // Outgoing = incoming flavours.
  setId( id1, id2, id1, id2);

  // Colour flow topologies. Swap when antiquarks.
  if (id1 * id2 > 0)  setColAcol( 1, 0, 2, 0, 2, 0, 1, 0);
  else                setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  if (id2 == id1 && (sigT + sigU) * rndmPtr->flat() > sigT)
                      setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2QCqqbar2qqbar class.
// Cross section for q qbar -> q' qbar' (quark contact interactions).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2QCqqbar2qqbar::initProc() {

  qCnQuarkNew = settingsPtr->mode("ContactInteractions:nQuarkNew");
  qCLambda2   = settingsPtr->parm("ContactInteractions:Lambda");
  qCetaLL     = settingsPtr->mode("ContactInteractions:etaLL");
  qCetaRR     = settingsPtr->mode("ContactInteractions:etaRR");
  qCetaLR     = settingsPtr->mode("ContactInteractions:etaLR");
  qCLambda2  *= qCLambda2;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2QCqqbar2qqbar::sigmaKin() {

  // Pick new flavour.
  idNew = 1 + int( qCnQuarkNew * rndmPtr->flat() );
  mNew  = particleDataPtr->m0(idNew);
  m2New = mNew*mNew;

  // Calculate kinematics dependence.
  double sigQC              = 0.;
  sigS                      = 0.;
  if (sH > 4. * m2New) {
    sigS = (4./9.) * (tH2 + uH2) / sH2;
    sigQC = pow2(qCetaLL/qCLambda2) * uH2
          + pow2(qCetaRR/qCLambda2) * uH2
          + 2 * pow2(qCetaLR/qCLambda2) * tH2;
  }

  // Answer is proportional to number of outgoing flavours.
  sigma = (M_PI / sH2) * qCnQuarkNew * ( pow2(alpS) * sigS + sigQC);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2QCqqbar2qqbar::setIdColAcol() {

  // Set outgoing flavours ones.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2QCffbar2llbar class.
// Cross section for f fbar -> l lbar (contact interactions).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2QCffbar2llbar::initProc() {

  qCLambda2   = settingsPtr->parm("ContactInteractions:Lambda");
  qCetaLL     = settingsPtr->mode("ContactInteractions:etaLL");
  qCetaRR     = settingsPtr->mode("ContactInteractions:etaRR");
  qCetaLR     = settingsPtr->mode("ContactInteractions:etaLR");
  qCLambda2  *= qCLambda2;

  // Process name.
  if (idNew == 11) nameNew = "f fbar -> (QC) -> e- e+";
  if (idNew == 13) nameNew = "f fbar -> (QC) -> mu- mu+";
  if (idNew == 15) nameNew = "f fbar -> (QC) -> tau- tau+";

  // Kinematics.
  qCmNew  = particleDataPtr->m0(idNew);
  qCmNew2 = qCmNew * qCmNew;
  qCmZ    = particleDataPtr->m0(23);
  qCmZ2   = qCmZ * qCmZ;
  qCGZ    = particleDataPtr->mWidth(23);
  qCGZ2   = qCGZ * qCGZ;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2QCffbar2llbar::sigmaKin() {

  qCPropGm   = 1./sH;
  double denomPropZ = pow2(sH - qCmZ2) + qCmZ2 * qCGZ2;
  qCrePropZ  = (sH - qCmZ2) / denomPropZ;
  qCimPropZ  = -qCmZ * qCGZ / denomPropZ;

  sigma0 = 0.;
  if (sH > 4. * qCmNew2) sigma0 = 1./(16. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

double Sigma2QCffbar2llbar::sigmaHat() {

  // Incoming fermion flavor.
  int idAbs      = abs(id1);

  // Couplings and constants.
  double tmPe2QfQl = 4. * M_PI * alpEM * couplingsPtr->ef(idAbs)
                   * couplingsPtr->ef(idNew);
  double tmPgvf = 0.25 * couplingsPtr->vf(idAbs);
  double tmPgaf = 0.25 * couplingsPtr->af(idAbs);
  double tmPgLf = tmPgvf + tmPgaf;
  double tmPgRf = tmPgvf - tmPgaf;
  double tmPgvl = 0.25 * couplingsPtr->vf(idNew);
  double tmPgal = 0.25 * couplingsPtr->af(idNew);
  double tmPgLl = tmPgvl + tmPgal;
  double tmPgRl = tmPgvl - tmPgal;
  double tmPe2s2c2 = 4. * M_PI * alpEM
    / (couplingsPtr->sin2thetaW() * couplingsPtr->cos2thetaW());

  // Complex amplitudes.
  complex I(0., 1.);
  complex meLL(0., 0.);
  complex meRR(0., 0.);
  complex meLR(0., 0.);
  complex meRL(0., 0.);

  // Amplitudes, M = gamma + Z + CI.
  meLL = tmPe2QfQl * qCPropGm
       + tmPe2s2c2 * tmPgLf * tmPgLl * (qCrePropZ + I * qCimPropZ)
       + 4. * M_PI * qCetaLL / qCLambda2;
  meRR = tmPe2QfQl * qCPropGm
       + tmPe2s2c2 * tmPgRf * tmPgRl * (qCrePropZ + I * qCimPropZ)
       + 4. * M_PI * qCetaRR / qCLambda2;
  meLR = tmPe2QfQl * qCPropGm
       + tmPe2s2c2 * tmPgLf * tmPgRl * (qCrePropZ + I * qCimPropZ)
       + 4. * M_PI * qCetaLR / qCLambda2;
  meRL = tmPe2QfQl * qCPropGm
       + tmPe2s2c2 * tmPgRf * tmPgLl * (qCrePropZ + I * qCimPropZ)
       + 4. * M_PI * qCetaLR / qCLambda2;

  double sigma = sigma0 * uH2 * real(meLL*conj(meLL));
  sigma += sigma0 * uH2 * real(meRR*conj(meRR));
  sigma += sigma0 * tH2 * real(meLR*conj(meLR));
  sigma += sigma0 * tH2 * real(meRL*conj(meRL));
  
  // If f fbar are quarks.
  if (idAbs < 9) sigma /= 3.;

  return sigma;
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2QCffbar2llbar::setIdColAcol() {

  // Flavours trivial.
  setId(id1, id2, idNew, -idNew);

  // tH defined between f and f': must swap tHat <-> uHat if id1 is fbar.
  swapTU = (id2 > 0);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/HadronScatter.cc0000644000175000017500000011206612357054761016216 0ustar  sunsun// HadronScatter.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

#include "Pythia8/HadronScatter.h"

namespace Pythia8 {

//==========================================================================

// The SigmaPartialWave class
//  Reads in tables of partial wave data to provide dSigma/dCos(theta)
//  The generic classes of process are:
//    process = 0 (pi-pi), 1 (pi-K), 2 (pi-N)
//  Subprocesses are defined (along with isospin coefficients) in:
//    setupSubprocesses();
//  Individual subprocesses are selected using:
//    setSubprocess(subprocess); or setSubprocess(PDG1, PDG2);
//  Internally, there are two std::map's, to convert between:
//    subprocess <==> PDG1, PDG2
//
//  Data are read in from files:
//   Lines starting with a '#' are comments
//   Lines starting with 'set' provide options:
//    set eType   [Wcm | Tlab] - energy bins in Wcm or Tlab
//    set eUnit   [MeV | GeV]  - energy unit
//    set input   [eta,delta | Sn,delta  | Tr,Ti | mod,phi ]
//                             - format of columns in partial waves
//    set dUnit   [deg | rad]  - unit of phase shifts
//    set norm    [0 | 1]      - normalisation
//   Column headers give L,2I[,2J] (2J for e.g. piN)
//   Input types: Sn,delta -> Sn = 1 - eta^2
//                mod,phi  -> amplitude T_L = |T_L| exp(i phi_L)
//   Normalisation: 0 -> dSigma/dOmega = 1 / k^2 |T_L|^2
//                  1 -> dSigma/dOmega = 16 / s  |T_L|^2
//
//  Internally data is stored as (J = 0 for spinless):
//   pwData[L * LSHIFT + 2I * ISHIFT + J][energy_bin_centre] = T
//  where the energy is Wcm in GeV.
//
//  This is stored using std::map's, to take into account that not all
//  L,I,J states are always present (e.g. negligable contributions or
//  conservation rules) and that bin sizes are not fixed.
//
//  Re[T] and Im[T] are interpolated between bins and extrapolated down to
//  threshold from the first two bins. Above energy_bin_centre of the final
//  bin, no extrapolation is done and the final bin value is always used.
//
//  A simple scheme to provide correct distributions for cos(theta) at a
//  given CM energy is included. Efficiency is not too bad, but can likely
//  be greatly improved.
//
//  For each subprocess, a grid in bins of Wcm and cos(theta) is setup with:
//    setupGrid();
//  The size of the grid is set by the constants:
//    const double SigmaPartialWave::WCMBIN;
//    const double SigmaPartialWave::CTBIN;
//  For each bin of (Wcm, ct), the maximum sigma elastic is found by
//  splitting this bin into subbins multiple times, controlled by:
//    const int SigmaPartialWave::SUBBIN;
//    const int SigmaPartialWave::ITER
//  With the final maxium sigma elastic given by this value multipled by
//  a safety factor:
//    const double SigmaPartialWave::GRIDSAFETY
//
//  To pick values of cos(theta) for a given CM energy, a:
//    pickCosTheta(Wcm);
//  function is provided. The above grid is used as an overestimate, to
//  pick properly distributed values of cos(theta).

//--------------------------------------------------------------------------

// Constants

// pwData[L * LSHIFT + 2I * ISHIFT + J]
const int     SigmaPartialWave::LSHIFT     = 1000000;
const int     SigmaPartialWave::ISHIFT     = 1000;

// Convert GeV^-2 to mb
const double  SigmaPartialWave::CONVERT2MB = 0.389380;

// Size of bin in Wcm and cos(theta)
const double  SigmaPartialWave::WCMBIN     = 0.005;
const double  SigmaPartialWave::CTBIN      = 0.2;
// Number of subbins and iterations
const int     SigmaPartialWave::SUBBIN     = 2;
const int     SigmaPartialWave::ITER       = 2;
// Safety value to add on to grid maxima
const double  SigmaPartialWave::MASSSAFETY = 0.001;
const double  SigmaPartialWave::GRIDSAFETY = 0.05;


//--------------------------------------------------------------------------

// Perform initialization and store pointers.

bool SigmaPartialWave::init(int processIn, string xmlPath, string filename,
                            Info *infoPtrIn, ParticleData *particleDataPtrIn,
                            Rndm *rndmPtrIn) {
  // Store incoming pointers
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;

  // Check incoming process is okay
  if (processIn < 0 || processIn > 2) {
    infoPtr->errorMsg("Error in SigmaPartialWave::init: "
      "unknown process");
    return false;
  }
  process = processIn;

  // Setup subprocesses and isospin coefficients
  setupSubprocesses();
  setSubprocess(0);

  // Read in partial-wave data
  if (!readFile(xmlPath, filename)) return false;

  // Setup vector for Legendre polynomials
  PlVec.resize(Lmax);
  if (Lmax > 0) PlVec[0] = 1.;
  // And derivatives if needed
  if (process == 2) {
    PlpVec.resize(Lmax);
    if (Lmax > 0) PlpVec[0] = 0.;
    if (Lmax > 1) PlpVec[1] = 1.;
  }

  // Setup grid for integration
  setupGrid();

  return true;
}


//--------------------------------------------------------------------------

// Read input data file

bool SigmaPartialWave::readFile(string xmlPath, string filename) {
  // Create full path and open file
  string fullPath = xmlPath + filename;
  ifstream ifs(fullPath.c_str());
  if (!ifs.good()) {
    infoPtr->errorMsg("Error in SigmaPartialWave::init: "
      "could not read data file");
    return false;
  }

  // Default unit settings
  int eType = 0;  // 0 = Wcm, 1 = Tlab
  int eUnit = 0;  // 0 = GeV, 1 = MeV
  int input = 0;  // 0 = eta, delta; 1 = Sn, delta (Sn = 1 - eta^2);
                  // 2 = Treal, Tim, 3 = mod, phi
  int dUnit = 0;  // 0 = deg, 1 = rad
      norm  = 0;  // 0 = standard, 1 = sqrt(s) / sqrt(s - 4Mpi^2)

  // Once we have a header line, each column corresponds to
  // values of L, I and J.
  Lmax = Imax = 0;
  binMax = 0.;
  vector < int > Lvec, Ivec, Jvec;

  // Parse the file
  string line;
  while (ifs.good()) {
    // Get line, convert to lowercase and strip leading whitespace
    getline(ifs, line);
    for (unsigned int i = 0; i < line.length(); i++)
      line[i] = tolower(line[i]);
    string::size_type startPos = line.find_first_not_of("  ");
    if (startPos != string::npos) line = line.substr(startPos);
    // Skip blank lines and lines that start with '#'
    if (line.length() == 0 || line[0] == '#') continue;

    // Tokenise line on whitespace (spaces or tabs)
    string lineT = line;
    vector < string > token;
    while (true) {
      startPos = lineT.find_first_of("   ");
      token.push_back(lineT.substr(0, startPos));
      if (startPos == string::npos) break;
      startPos = lineT.find_first_not_of("       ", startPos + 1);
      if (startPos == string::npos) break;
      lineT = lineT.substr(startPos);
    }

    // Settings
    if (token[0] == "set") {
      bool badSetting = false;

      // eType
      if        (token[1] == "etype") {
        if      (token[2] == "wcm")       eType = 0;
        else if (token[2] == "tlab")      eType = 1;
        else    badSetting = true;

      // eUnit
      } else if (token[1] == "eunit") {
        if      (token[2] == "gev")       eUnit = 0;
        else if (token[2] == "mev")       eUnit = 1;
        else    badSetting = true;

      // input
      } else if (token[1] == "input") {
        if      (token[2] == "eta,delta") input = 0;
        else if (token[2] == "sn,delta")  input = 1;
        else if (token[2] == "tr,ti")     input = 2;
        else if (token[2] == "mod,phi")   input = 3;
        else    badSetting = true;

      // dUnit
      } else if (token[1] == "dunit") {
        if      (token[2] == "deg")       dUnit = 0;
        else if (token[2] == "rad")       dUnit = 1;
        else    badSetting = true;

      // norm
      } else if (token[1] == "norm") {
        if      (token[2] == "0")         norm = 0;
        else if (token[2] == "1")         norm = 1;
        else    badSetting = true;
      }

      // Bad setting
      if (badSetting) {
        infoPtr->errorMsg("Error in SigmaPartialWave::init: "
          "bad setting line");
        return false;
      }
      continue;
    }

    // Header line
    if (line.substr(0, 1).find_first_of("0123456789.") != 0) {
      // Clear current stored L,2I,2J values
      Lvec.clear(); Ivec.clear(); Jvec.clear();

      // Parse header
      bool badHeader = false;
      for (unsigned int i = 1; i < token.size(); i++) {
        // Extract L
        startPos = token[i].find_first_of(",");
        if (startPos == string::npos) { badHeader = true; break; }
        string Lstr = token[i].substr(0, startPos);
        token[i] = token[i].substr(startPos + 1);
        // Extract 2I
        string Istr;
        startPos = token[i].find_first_of(",     ");
        if (startPos == string::npos) {
          Istr = token[i];
          token[i] = "";
        } else {
          Istr = token[i].substr(0, startPos);
          token[i] = token[i].substr(startPos + 1);
        }
        // Extract 2J
        string Jstr("0");
        if (token[i].length() != 0) Jstr = token[i];

        // Convert to integers and store
        int L, I, J;
        stringstream Lss(Lstr); Lss >> L;
        stringstream Iss(Istr); Iss >> I;
        stringstream Jss(Jstr); Jss >> J;
        if (Lss.fail() || Iss.fail() || Jss.fail())
          { badHeader = true; break; }
        Lvec.push_back(L);
        Ivec.push_back(I);
        Jvec.push_back(J);
        Lmax = max(Lmax, L);
        Imax = max(Imax, I);
      }
      if (badHeader) {
        infoPtr->errorMsg("Error in SigmaPartialWave::init: "
          "malformed header line");
        return false;
      }

    // Data line
    } else {
      bool badData = false;

      // Check there are the correct number of columns
      if (token.size() != 2 * Lvec.size() + 1) badData = true;

      // Extract energy
      double eNow = 0.;
      if (!badData) {
        stringstream eSS(token[0]);
        eSS >> eNow;
        if (eSS.fail()) badData = true;
        // Convert to GeV if needed
        if (eUnit == 1) eNow *= 1e-3;
        // Convert to Wcm if needed
        if (eType == 1) eNow = sqrt(2. * mB * eNow + pow2(mA + mB));
        binMax = max(binMax, eNow);
      }

      // Extract eta/phase shifts
      if (!badData) {
        for (unsigned int i = 1; i < token.size(); i += 2) {
          // L,2I,2J
          int LIJidx = (i - 1) / 2;
          int L = Lvec[LIJidx];
          int I = Ivec[LIJidx];
          int J = Jvec[LIJidx];

          double i1, i2;
          stringstream i1SS(token[i]);     i1SS >> i1;
          stringstream i2SS(token[i + 1]); i2SS >> i2;
          if (i1SS.fail() || i2SS.fail()) { badData = true; break; }

          // Sn to eta
          if (input == 1) i1 = sqrt(1. - i1);
          // Degrees to radians
          if ((input == 0 || input == 1 || input == 3) &&
              dUnit == 0) i2 *= M_PI / 180.;
          
          // Convert to Treal and Timg
          complex T(0., 0.);
          if (input == 0 || input == 1) {
            T = (i1 * exp(2. * complex(0., 1.) * i2) - 1.) /
                2. / complex(0., 1.);
          } else if (input == 2) {
            T = complex(i1, i2);
          } else if (input == 3) {
            T = i1 * exp(complex(0., 1.) * i2);
          }

          // Store
          pwData[L * LSHIFT + I * ISHIFT + J][eNow] = T;
        }
      }
      if (badData) {
        infoPtr->errorMsg("Error in SigmaPartialWave::init: "
          "malformed data line");
        return false;
      }
    }
  }

  // Make sure it was EOF that caused us to end
  if (!ifs.eof()) { ifs.close(); return false; }

  // Maximum values of L and I
  Lmax++; Imax++;

  return true;
}


//--------------------------------------------------------------------------

// Setup isospin coefficients and subprocess mapping

void SigmaPartialWave::setupSubprocesses() {

  // Setup isospin coefficients
  switch (process) {
  // pi-pi
  case 0:
    // Map subprocess to incoming
    subprocessMax = 6;
    sp2in[0] = pair < int, int > ( 211,  211);
    sp2in[1] = pair < int, int > ( 211, -211);
    sp2in[2] = pair < int, int > ( 211,  111);
    sp2in[3] = pair < int, int > ( 111,  111);
    sp2in[4] = pair < int, int > (-211,  111);
    sp2in[5] = pair < int, int > (-211, -211);
    // Incoming to subprocess
    for (int i = 0; i < subprocessMax; i++) in2sp[sp2in[i]] = i;
    // Isospin coefficients
    isoCoeff[0][0] = 0.;    isoCoeff[0][2] = 0.;    isoCoeff[0][4] = 1.;
    isoCoeff[1][0] = 1./3.; isoCoeff[1][2] = 1./2.; isoCoeff[1][4] = 1./6.;
    isoCoeff[2][0] = 0.;    isoCoeff[2][2] = 1./2.; isoCoeff[2][4] = 1./2.;
    isoCoeff[3][0] = 1./3.; isoCoeff[3][2] = 0.;    isoCoeff[3][4] = 2./3.;
    isoCoeff[4][0] = 0.;    isoCoeff[4][2] = 1./2.; isoCoeff[4][4] = 1./2.;
    isoCoeff[5][0] = 0.;    isoCoeff[5][2] = 0.;    isoCoeff[5][4] = 1.;

    break;

  // pi-K and pi-N
  case 1: case 2:
    int id1, id2;
    if (process == 1) { id1 = 321;  id2 = 311;  }
    else              { id1 = 2212; id2 = 2112; }
    
    // Map subprocess to incoming
    subprocessMax = 12;
    sp2in[0] = pair < int, int > ( 211, id1);
    sp2in[1] = pair < int, int > ( 211, id2);
    sp2in[2] = pair < int, int > ( 111, id1);
    sp2in[3] = pair < int, int > ( 111, id2);
    sp2in[4] = pair < int, int > (-211, id1);
    sp2in[5] = pair < int, int > (-211, id2);
    // Isospin coefficients
    isoCoeff[0][1]  = 0.;      isoCoeff[0][3]  = 1.;
    isoCoeff[1][1]  = 2. / 3.; isoCoeff[1][3]  = 1. / 3.;
    isoCoeff[2][1]  = 1. / 3.; isoCoeff[2][3]  = 2. / 3.;
    isoCoeff[3][1]  = 1. / 3.; isoCoeff[3][3]  = 2. / 3.;
    isoCoeff[4][1]  = 2. / 3.; isoCoeff[4][3]  = 1. / 3.;
    isoCoeff[5][1]  = 0.;      isoCoeff[5][3]  = 1.;
    // Antiparticles
    for (int i = 0; i < 6; i++) {
      id1 = ((sp2in[i].first == 111) ? +1 : -1) * sp2in[i].first;
      sp2in[i + 6] = pair < int, int > (id1, -sp2in[i].second);
      isoCoeff[i + 6] = isoCoeff[i];
    }
    // Map incoming to subprocess
    for (int i = 0; i < subprocessMax; i++) in2sp[sp2in[i]] = i;

    break;
  }

  return;
}


//--------------------------------------------------------------------------

// Setup grids for integration

void SigmaPartialWave::setupGrid() {
  // Reset sigma maximum
  sigElMax = 0.;

  // Go through each subprocess
  gridMax.resize(subprocessMax);
  gridNorm.resize(subprocessMax);
  for (int sp = 0; sp < subprocessMax; sp++) {
    // Setup subprocess
    setSubprocess(sp);

    // Bins in Wcm
    int nBin1 = int( (binMax - mA - mB) / WCMBIN );
    gridMax[subprocess].resize(nBin1);
    gridNorm[subprocess].resize(nBin1);
    for (int n1 = 0; n1 < nBin1; n1++) {
      // Bin lower and upper
      double bl1 = mA + mB + double(n1) * WCMBIN;
      double bu1 = bl1 + WCMBIN;

      // Bins in cos(theta)
      int    nBin2 = int( 2. / CTBIN );
      gridMax[subprocess][n1].resize(nBin2);
      for (int n2 = 0; n2 < nBin2; n2++) {
        // Bin lower and upper
        double bl2 = -1. + double(n2) * CTBIN;
        double bu2 = bl2 + CTBIN;

        // Find maximum
        double maxSig = 0.;
        double bl3 = bl1, bu3 = bu1, bl4 = bl2, bu4 = bu2;
        for (int iter = 0; iter < ITER; iter++) {
          int    i3Save = -1, i4Save = -1;
          double step3 = (bu3 - bl3) / double(SUBBIN);
          double step4 = (bu4 - bl4) / double(SUBBIN);
          for (int i3 = 0; i3 <= SUBBIN; i3++) {
            double Wcm = bl3 + double(i3) * step3;
            for (int i4 = 0; i4 <= SUBBIN; i4++) {
              double ct = bl4 + double(i4) * step4;
              double ds = dSigma(Wcm, ct);
              if (ds > maxSig) {
                i3Save = i3;
                i4Save = i4;
                maxSig = ds;
              }
            }
          }
          // Set new min/max
          if (i3Save == -1 && i4Save == -1) break;
          if (i3Save > -1) {
            bl3 = bl3 + ((i3Save == 0)      ? 0. : i3Save - 1.) * step3;
            bu3 = bl3 + ((i3Save == SUBBIN) ? 1. : 2.)          * step3;
          }
          if (i4Save > -1) {
            bl4 = bl4 + ((i4Save == 0)      ? 0. : i4Save - 1.) * step4;
            bu4 = bl4 + ((i4Save == SUBBIN) ? 1. : 2.)          * step4;
          }
        } // for (iter)

        // Save maximum value
        gridMax[subprocess][n1][n2]  = maxSig * (1. + GRIDSAFETY);
        gridNorm[subprocess][n1]    += maxSig * (1. + GRIDSAFETY) * CTBIN;
        sigElMax = max(sigElMax, maxSig);

      } // for (n2)
    } // for (n1)
  } // for (sp)

  return;
}


//--------------------------------------------------------------------------

// Pick a cos(theta) value

double SigmaPartialWave::pickCosTheta(double Wcm) {
  // Find grid bin in Wcm
  int WcmBin = int((Wcm - mA - mB) / WCMBIN);
  if (WcmBin < 0) WcmBin = 0;
  if (WcmBin >= int(gridMax[subprocess].size()))
    WcmBin = int(gridMax[subprocess].size() - 1);
  
  // Pick a value of cos(theta)
  double ct, wgt;

  do {
    // Sample from overestimate and inverse
    double y   = rndmPtr->flat() * gridNorm[subprocess][WcmBin];
    double sum = 0.;
    int    ctBin;
    for (ctBin = 0; ctBin < int(2. / CTBIN); ctBin++) {
      if (sum + CTBIN * gridMax[subprocess][WcmBin][ctBin] > y) break;
      sum += CTBIN * gridMax[subprocess][WcmBin][ctBin];
    }

    // Linear interpolation
    double x1 = -1. + CTBIN * double(ctBin);
    double y1 = sum;
    double x2 = x1 + CTBIN;
    double y2 = sum + CTBIN * gridMax[subprocess][WcmBin][ctBin];
           ct = (x2 - x1) / (y2 - y1) * (y - y1) + x1;
    wgt = dSigma(Wcm, ct) / gridMax[subprocess][WcmBin][ctBin];
    if (wgt >= 1.) {
      infoPtr->errorMsg("Warning in SigmaPartialWave::pickCosTheta: "
        "weight above unity");
      break;
    }
  } while (wgt <= rndmPtr->flat());

  return ct;
}

//--------------------------------------------------------------------------

// Set subprocess

bool SigmaPartialWave::setSubprocess(int spIn) {
  if (sp2in.find(spIn) == sp2in.end()) return false;
  subprocess = spIn;
  pair < int, int > in = sp2in[spIn];
  idA = in.first;
  mA  = particleDataPtr->m0(idA);
  idB = in.second;
  mB  = particleDataPtr->m0(idB);
  return true;
}

bool SigmaPartialWave::setSubprocess(int idAin, int idBin) {
  pair < int, int > in = pair < int, int > (idAin, idBin);
  if (in2sp.find(in) == in2sp.end()) {
    // Try the other way around as well
    swap(in.first, in.second);
    if (in2sp.find(in) == in2sp.end()) return false;
  }
  subprocess = in2sp[in];
  idA = idAin;
  mA  = particleDataPtr->m0(idA);
  idB = idBin;
  mB  = particleDataPtr->m0(idB);
  return true;
}

//--------------------------------------------------------------------------

// Calculate: mode = 0 (sigma elastic), 1 (sigma total), 2 (dSigma/dcTheta)

double SigmaPartialWave::sigma(int mode, double Wcm, double cTheta) {
  // Below threshold, return 0
  if (Wcm < (mA + mB + MASSSAFETY)) return 0.;

  // Return values
  complex amp[2] = { complex(0., 0.) };
  double  sig    = 0.;

  // Kinematic variables
  double s  = pow2(Wcm);
  double k2 = (s - pow2(mB + mA)) * (s - pow2(mB - mA)) / 4. / s;

  // Precompute all required Pl and Pl' values
  double sTheta = 0.;
  if (mode == 2) {
    if (process == 2) sTheta = sqrt(1. - pow2(cTheta));
    legendreP(cTheta, ((process == 2) ? true : false));
  }

  // Loop over L
  for (int L = 0; L < Lmax; L++) {

    // Loop over J (only J = 0 for spinless)
    complex ampJ[2] = { complex(0., 0.) };
    int Jstart = (process != 2) ? 0 : 2 * L - 1;
    int Jend   = (process != 2) ? 1 : 2 * L + 2;
    int Jstep  = (process != 2) ? 1 : 2;
    int Jcount = 0;
    for (int J = Jstart; J < Jend; J += Jstep, Jcount++) {

      // Loop over isospin coefficients
      for (int I = 0; I < Imax; I++) {
        if (isoCoeff[subprocess][I] == 0.) continue;

        // Check wave exists
        int LIJ = L * LSHIFT + I * ISHIFT + J;
        if (pwData.find(LIJ) == pwData.end()) continue;

        // Extrapolation / interpolation (not for last bin)
        map < double, complex >::iterator it = pwData[LIJ].upper_bound(Wcm);
        if (it == pwData[LIJ].begin()) ++it;
        double ar, ai;
        if (it == pwData[LIJ].end()) {
          ar = (--it)->second.real();
          ai = it->second.imag();
        } else {
          double  eA   = it->first;
          complex ampA = (it--)->second;
          double  eB   = it->first;
          complex ampB = it->second;

          ar = (ampA.real() - ampB.real()) / (eA - eB) *
               (Wcm - eB) + ampB.real();
          ai = (ampA.imag() - ampB.imag()) / (eA - eB) *
               (Wcm - eB) + ampB.imag();
        }

        // Isospin sum
        ampJ[Jcount] += isoCoeff[subprocess][I] * complex(ar, ai);
      }
    }

    // Partial wave sum. Sigma elastic
    if (mode == 0) {
      if        (process == 0 || process == 1) {
        sig += (2. * L + 1.) * (ampJ[0] * conj(ampJ[0])).real();
      } else if (process == 2) {
        sig += ( (L + 0.) * (ampJ[0] * conj(ampJ[0])).real() +
                 (L + 1.) * (ampJ[1] * conj(ampJ[1])).real() );
      }

    // Sigma total
    } else if (mode == 1) {
      if        (process == 0 || process == 1) {
        sig += (2. * L + 1.) * ampJ[0].imag();
      } else if (process == 2) {
        sig += ( (L + 0.) * ampJ[0].imag() + (L + 1.) * ampJ[1].imag() );
      }

    // dSigma
    } else if (mode == 2) {
      if        (process == 0 || process == 1) {
        amp[0] += (2. * L + 1.) * ampJ[0] * PlVec[L];
      } else if (process == 2) {
        amp[0] += ((L + 0.) * ampJ[0] + double(L + 1.) * ampJ[1]) * PlVec[L];
        amp[1] += complex(0., 1.) * (ampJ[1] - ampJ[0]) * sTheta * PlpVec[L];
      }
    }

  } // for (L)

  // Normalisation and return
  if (mode == 0 || mode == 1) {
    if      (norm == 0)  sig *= 4.  * M_PI / k2 * CONVERT2MB;
    else if (norm == 1)  sig *= 64. * M_PI / s  * CONVERT2MB;

  } else if (mode == 2) {
    sig = (amp[0] * conj(amp[0])).real() + (amp[1] * conj(amp[1])).real();
    if      (norm == 0) sig *= 2.  * M_PI / k2 * CONVERT2MB;
    else if (norm == 1) sig *= 32. * M_PI / s  * CONVERT2MB;
  }
  // Half for identical
  return ((idA == idB) ? 0.5 : 1.) * sig;
}


//--------------------------------------------------------------------------

// Bonnet's recursion formula for Legendre polynomials and derivatives

void SigmaPartialWave::legendreP(double ct, bool deriv) {
  if (Lmax > 1) PlVec[1] = ct;
  for (int L = 2; L < Lmax; L++) {
    PlVec[L] = ( (2. * L - 1.) * ct * PlVec[L - 1] -
                 (L - 1.) * PlVec[L - 2] ) / double(L);
    if (deriv)
      PlpVec[L] = ( (2. * L - 1.) * (PlVec[L - 1] + ct * PlpVec[L - 1]) -
                    (L - 1.) * PlpVec[L - 2] ) / double(L);
  }
  return;
}


//==========================================================================

// HadronScatter class

//--------------------------------------------------------------------------

// Perform initialization and store pointers.

bool HadronScatter::init(Info* infoPtrIn, Settings& settings,
                         Rndm *rndmPtrIn, ParticleData *particleDataPtr) {
  // Save incoming pointers
  infoPtr = infoPtrIn;
  rndmPtr = rndmPtrIn;

  // Main settings
  doHadronScatter = settings.flag("HadronScatter:scatter");
  afterDecay      = settings.flag("HadronScatter:afterDecay");
  allowDecayProd  = settings.flag("HadronScatter:allowDecayProd");
  scatterRepeat   = settings.flag("HadronScatter:scatterRepeat");
  // Hadron selection
  hadronSelect    = settings.mode("HadronScatter:hadronSelect");
  Npar            = settings.parm("HadronScatter:N");
  kPar            = settings.parm("HadronScatter:k");
  pPar            = settings.parm("HadronScatter:p");
  // Scattering probability
  scatterProb     = settings.mode("HadronScatter:scatterProb");
  jPar            = settings.parm("HadronScatter:j");
  rMax            = settings.parm("HadronScatter:rMax");
  rMax2           = rMax * rMax;
  doTile          = settings.flag("HadronScatter:tile");

  // String fragmentation and MPI settings
  pTsigma         = 2.0 * settings.parm("StringPT:sigma");
  pTsigma2        = pTsigma * pTsigma;
  double pT0ref   = settings.parm("MultipartonInteractions:pT0ref");
  double eCMref   = settings.parm("MultipartonInteractions:eCMref");
  double eCMpow   = settings.parm("MultipartonInteractions:eCMpow");
  double eCMnow   = infoPtr->eCM();
  pT0MPI          = pT0ref * pow(eCMnow / eCMref, eCMpow);

  // Tiling
  double mp2 = particleDataPtr->m0(111) * particleDataPtr->m0(111);
  double eA  = infoPtr->eA();
  double eB  = infoPtr->eB();
  double pzA =  sqrt(eA * eA - mp2);
  double pzB = -sqrt(eB * eB - mp2);
  yMax = 0.5 * log((eA + pzA) / (eA - pzA));
  yMin = 0.5 * log((eB + pzB) / (eB - pzB));
  // Size in y and phi
  if (doTile) {
    ytMax  = int((yMax - yMin) / rMax);
    ytSize = (yMax - yMin) / double(ytMax);
    ptMax  = int(2. * M_PI / rMax);
    ptSize = 2. * M_PI / double(ptMax);
  } else {
    ytMax  = 1;
    ytSize = yMax - yMin;
    ptMax  = 1;
    ptSize = 2. * M_PI;
  }
  // Initialise tiles
  tile.resize(ytMax);
  for (int yt = 0; yt < ytMax; yt++) tile[yt].resize(ptMax);

  // Find path to data files, i.e. xmldoc directory location.
  // Environment variable takes precedence, else use constructor input.
  // XXX - as in Pythia.cc, but not passed around in e.g. Info/Settings,
  //       so redo here
  string xmlPath = "";
  const char* PYTHIA8DATA = "PYTHIA8DATA";
  char* envPath = getenv(PYTHIA8DATA);
  if (envPath != 0 && *envPath != '\0') {
    int i = 0;
    while (*(envPath+i) != '\0') xmlPath += *(envPath+(i++));
  } else xmlPath = "../xmldoc";
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";

  // Hadron scattering partial wave cross sections
  if ( !sigmaPW[0].init(0, xmlPath, "pipi-Froggatt.dat",
                        infoPtr, particleDataPtr, rndmPtr) ) return false;
  if ( !sigmaPW[1].init(1, xmlPath, "piK-Estabrooks.dat",
                        infoPtr, particleDataPtr, rndmPtr) ) return false;
  if ( !sigmaPW[2].init(2, xmlPath, "piN-SAID-WI08.dat",
                        infoPtr, particleDataPtr, rndmPtr) ) return false;
  sigElMax = 0.;
  sigElMax = max(sigElMax, sigmaPW[0].getSigmaElMax());
  sigElMax = max(sigElMax, sigmaPW[1].getSigmaElMax());
  sigElMax = max(sigElMax, sigmaPW[2].getSigmaElMax());

  // DEBUG
  debugOutput();

  return true;
}


//--------------------------------------------------------------------------

// Debug output

void HadronScatter::debugOutput() {
  // Print settings
  cout << "Hadron scattering:" << endl
       << " scatter        = " << ((doHadronScatter) ? "on" : "off") << endl
       << " afterDecay     = " << ((afterDecay)      ? "on" : "off") << endl
       << " allowDecayProd = " << ((allowDecayProd)  ? "on" : "off") << endl
       << " scatterRepeat  = " << ((scatterRepeat)   ? "on" : "off") << endl
       << " tile           = " << ((doTile) ? "on" : "off") << endl
       << "  yMin          = " << yMin << endl
       << "  yMax          = " << yMax << endl
       << "  ytMax         = " << ytMax << endl
       << "  ytSize        = " << ytSize << endl
       << "  ptMax         = " << ptMax << endl
       << "  ptSize        = " << ptSize << endl
       << endl
       << " hadronSelect   = " << hadronSelect << endl
       << "  N             = " << Npar << endl
       << "  k             = " << kPar << endl
       << "  p             = " << pPar << endl
       << endl
       << " scatterProb    = " << scatterProb << endl
       << "  j             = " << jPar << endl
       << "  rMax          = " << rMax << endl
       << endl
       << " pTsigma        = " << pTsigma2 << endl
       << " pT0MPI         = " << pT0MPI << endl
       << endl
       << " sigElMax       = " << sigElMax << endl << endl;

  return;
}


//--------------------------------------------------------------------------

// Perform hadron scattering

void HadronScatter::scatter(Event& event) {
  // Reset tiles
  for (int yt = 0; yt < ytMax; yt++)
    for (int pt = 0; pt < ptMax; pt++)
      tile[yt][pt].clear();

  // Generate list of hadrons which can take part in the scattering
  for (int i = 0; i < event.size(); i++)
    if (event[i].isFinal() && event[i].isHadron() && canScatter(event, i))
      tile[yTile(event, i)][pTile(event, i)].insert(HSIndex(i, i));

  // Generate all pairwise interaction probabilities
  vector < HadronScatterPair > scatterList;
  // For each tile and for each hadron in the tile do pairing
  for (int pt1 = 0; pt1 < ptMax; pt1++)
    for (int yt1 = 0; yt1 < ytMax; yt1++)
      for (set < HSIndex >::iterator si1 = tile[yt1][pt1].begin();
           si1 != tile[yt1][pt1].end(); si1++)
        tileIntProb(scatterList, event, *si1, yt1, pt1, false);
  // Sort by ordering measure (largest to smallest)
  sort(scatterList.rbegin(), scatterList.rend());

  // Reset list of things that have scattered
  if (scatterRepeat) scattered.clear();

  // Do scatterings
  while (scatterList.size() > 0) {
    // Check still valid and scatter
    HadronScatterPair &hsp = scatterList[0];
    if (!event[hsp.i1.second].isFinal() || !event[hsp.i2.second].isFinal()) {
      scatterList.erase(scatterList.begin());
      continue;
    }
    // Remove old entries in tiles and scatter
    tile[hsp.yt1][hsp.pt1].erase(hsp.i1);
    tile[hsp.yt2][hsp.pt2].erase(hsp.i2);
    hadronScatter(event, hsp);
    // Store new indices for later
    HSIndex iNew1 = hsp.i1, iNew2 = hsp.i2;

    // Check if hadrons can scatter again
    bool resort = false;
    if (scatterRepeat) {
      // Check for new scatters of iNew1 and iNew2
      HSIndex iNew = iNew1;
      for (int i = 0; i < 2; i++) {
        if (canScatter(event, iNew.second)) {
          // If both can scatter again, make sure they can't scatter
          // with each other
          if (i == 1) scattered.insert(HSIndex(min(iNew1.first, iNew2.first),
                                             max(iNew1.first, iNew2.first)));
          int yt = yTile(event, iNew.second);
          int pt = pTile(event, iNew.second);
          resort = tileIntProb(scatterList, event, iNew, yt, pt, true);
          tile[yt][pt].insert(iNew);
        }
        iNew = iNew2;
      } // for (i)

    } // if (scatterRepeat)

    // Remove the old entry and onto next
    scatterList.erase(scatterList.begin());
    // Resort list if anything added
    if (resort) sort(scatterList.rbegin(), scatterList.rend());

  } // while (scatterList.size() > 0)

  // Done.
  return;
}


//--------------------------------------------------------------------------

// Criteria for if a hadron is allowed to scatter or not

bool HadronScatter::canScatter(Event& event, int i) {
  // Probability to accept
  double p = 0.;

  // Pions, K+, K-, p+, pbar- only
  if (scatterProb == 1 || scatterProb == 2)
    if (event[i].idAbs() != 111 && event[i].idAbs() != 211 &&
        event[i].idAbs() != 321 && event[i].idAbs() != 2212)
      return false;

  // Probability
  switch (hadronSelect) {
  case 0:
    double t1 = exp( - event[i].pT2() / 2. / pTsigma2);
    double t2 = pow(pT0MPI, pPar) /
                pow(pT0MPI * pT0MPI + event[i].pT2(), pPar / 2.);
    p = Npar * t1 / ( (1 - kPar) * t1 + kPar * t2 );
    break;
  }

  // Return true/false
  if (p > rndmPtr->flat()) return true;
  else                     return false;
}


//--------------------------------------------------------------------------

// Probability for scattering
bool HadronScatter::doesScatter(Event& event, const HSIndex &i1,
  const HSIndex &i2) {
  Particle &p1 = event[i1.second];
  Particle &p2 = event[i2.second];

  // Can't come from the same decay
  if (!allowDecayProd && event[i1.first].mother1() ==
      event[i2.first].mother1() && event[event[i1.first].mother1()].isHadron())
    return false;

  // Check that the two hadrons have not already scattered
  if (scatterRepeat &&
      scattered.find(HSIndex(min(i1.first, i2.first), max(i1.first, i2.first)))
      != scattered.end()) return false;

  // K-K, p-p and K-p not allowed
  int id1 = min(p1.idAbs(), p2.idAbs());
  int id2 = max(p1.idAbs(), p2.idAbs());
  if (scatterProb == 1 || scatterProb == 2) {
    if ((id1 == 321 || id1 == 2212) && id1 == id2) return false;
    if (id1 == 321 && id2 == 2212)                 return false;
  }

  // Distance in y - phi space
  double dy  = p1.y() - p2.y();
  double dp  = abs(p1.phi() - p2.phi());
  if (dp > M_PI) dp = 2 * M_PI - dp;
  double dr2 = dy * dy + dp * dp;
  double p   = max(0., 1. - dr2 / rMax2);

  // Additional factor depending on scatterProb
  if (scatterProb == 0 || scatterProb == 1) {
    p *= jPar;

  // Additional pair dependent probability
  } else if (scatterProb == 2) {
    // Wcm and which partial wave amplitude to use
    double Wcm = (p1.p() + p2.p()).mCalc();
    int    pw = 0;
    if      ((id1 == 111 || id1 == 211) && (id2 == 111 || id2 == 211)) pw = 0;
    else if ((id1 == 111 || id1 == 211) && id2 == 321)                 pw = 1;
    else if ((id1 == 111 || id1 == 211) && id2 == 2212)                pw = 2;
    else {
      infoPtr->errorMsg("Error in HadronScatter::doesScatter:"
        "unknown subprocess");
    }
    if (!sigmaPW[pw].setSubprocess(p1.id(), p2.id())) {
      infoPtr->errorMsg("Error in HadronScatter::doesScatter:"
        "setSubprocess failed");
    } else {
      p *= 1 - exp(-jPar * sigmaPW[pw].sigmaEl(Wcm));
    }
  }

  // Return true/false
  return (p > rndmPtr->flat());
}


//--------------------------------------------------------------------------

// Calculate ordering measure

double HadronScatter::measure(Event& event, int idx1, int idx2) {
  Particle &p1 = event[idx1];
  Particle &p2 = event[idx2];
  return abs(p1.pT() / p1.mT() - p2.pT() / p2.mT());
}


//--------------------------------------------------------------------------

// Scatter a pair

bool HadronScatter::hadronScatter(Event& event, HadronScatterPair &hsp) {
  bool doSwap = (0.5 < rndmPtr->flat()) ? true : false;
  if (doSwap) swap(hsp.i1, hsp.i2);

  Particle &p1 = event[hsp.i1.second];
  Particle &p2 = event[hsp.i2.second];

  // Pick theta and phi (always flat)
  double ct = 0., phi = 2 * M_PI * rndmPtr->flat();

  // Flat for all flavours
  if (scatterProb == 0 || scatterProb == 1) {
    ct  = 2. * rndmPtr->flat() - 1.;

  // pi-pi, pi-K and pi-p only using partial wave amplitudes
  } else if (scatterProb == 2) {
    // Wcm and which partial wave amplitude to use
    int    id1 = min(p1.idAbs(), p2.idAbs());
    int    id2 = max(p1.idAbs(), p2.idAbs());
    double Wcm = (p1.p() + p2.p()).mCalc();
    int    pw  = 0;
    if      ((id1 == 111 || id1 == 211) && (id2 == 111 || id2 == 211)) pw = 0;
    else if ((id1 == 111 || id1 == 211) && id2 == 321)                 pw = 1;
    else if ((id1 == 111 || id1 == 211) && id2 == 2212)                pw = 2;
    else {
      infoPtr->errorMsg("Error in HadronScatter::hadronScatter:"
        "unknown subprocess");
    }
    sigmaPW[pw].setSubprocess(p1.id(), p2.id());
    ct = sigmaPW[pw].pickCosTheta(Wcm);
  }

  // Rotation
  RotBstMatrix sMat;
  sMat.toCMframe(p1.p(), p2.p());
  sMat.rot(acos(ct), phi);
  sMat.fromCMframe(p1.p(), p2.p());
  Vec4 v1 = p1.p(), v2 = p2.p();
  v1.rotbst(sMat);
  v2.rotbst(sMat);

  // Update event record
  int iNew1 = event.copy(hsp.i1.second, 98);
  event[iNew1].p(v1);
  event[iNew1].e(event[iNew1].eCalc());
  event[hsp.i1.second].statusNeg();
  int iNew2 = event.copy(hsp.i2.second, 98);
  event[iNew2].p(v2);
  event[iNew2].e(event[iNew2].eCalc());
  event[hsp.i2.second].statusNeg();

  // New indices in event record
  hsp.i1.second = iNew1;
  hsp.i2.second = iNew2;

  if (doSwap) swap(hsp.i1, hsp.i2);
  return true;
}


//--------------------------------------------------------------------------

// Calculate pair interaction probabilities in nearest-neighbour tiles
// (yt1, pt1) represents centre cell (8):
//    7 | 0 | 1
//   -----------
//    6 | 8 | 2
//   -----------
//    5 | 4 | 3

bool HadronScatter::tileIntProb(vector < HadronScatterPair > &hsp,
    Event &event, const HSIndex &i1, int yt1, int pt1, bool doAll) {
  // Track if a new pair is added
  bool pairAdded = false;

  // Special handling for pairing in own tile
  if (!doAll) {
    set < HSIndex >::iterator si2 = tile[yt1][pt1].find(i1);
    while (++si2 != tile[yt1][pt1].end())
      // Calculate if scatters
      if (doesScatter(event, i1, *si2)) {
        double m = measure(event, i1.second, si2->second);
        hsp.push_back(HadronScatterPair(i1, yt1, pt1, *si2, yt1, pt1, m));
      }
  }

  // And the rest
  int tileMax = (doAll) ? 9 : 4;
  for (int tileNow = 0; tileNow < tileMax; tileNow++) {
    // New (yt, pt) coordinate
    int yt2 = yt1, pt2 = pt1;
    switch (tileNow) {
    case 0:        ++pt2; break;
    case 1: ++yt2; ++pt2; break;
    case 2: ++yt2;        break;
    case 3: ++yt2; --pt2; break;
    case 4:        --pt2; break;
    case 5: --yt2; --pt2; break;
    case 6: --yt2;        break;
    case 7: --yt2; ++pt2; break;
    }

    // Limit in rapidity tiles
    if (yt2 < 0 || yt2 >= ytMax) continue;
    // Wraparound for phi tiles
    if (pt2 < 0) {
      pt2 = ptMax - 1;
      if (pt2 == pt1 || pt2 == pt1 + 1) continue;

    } else if (pt2 >= ptMax) {
      pt2 = 0;
      if (pt2 == pt1 || pt2 == pt1 - 1) continue;
    }

    // Interaction probability
    for (set < HSIndex >::iterator si2 = tile[yt2][pt2].begin();
         si2 != tile[yt2][pt2].end(); si2++) {
      // Calculate if scatters
      if (doesScatter(event, i1, *si2)) {
        double m = measure(event, i1.second, si2->second);
        hsp.push_back(HadronScatterPair(i1, yt1, pt1, *si2, yt2, pt2, m));
        pairAdded = true;
      }
    }
  }

  return pairAdded;
}

//==========================================================================

} // namespace Pythia8
pythia8-8.1.86.orig/src/BeamParticle.cc0000644000175000017500000007435012357054760016007 0ustar  sunsun// BeamParticle.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// BeamParticle class.

#include "Pythia8/BeamParticle.h"

namespace Pythia8 {
 
//==========================================================================

// The BeamParticle class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// A lepton that takes (almost) the full beam energy does not leave a remnant.
const double BeamParticle::XMINUNRESOLVED = 1. - 1e-10;

//--------------------------------------------------------------------------

// Initialize data on a beam particle and save pointers.

void BeamParticle::init( int idIn, double pzIn, double eIn, double mIn,
  Info* infoPtrIn, Settings& settings, ParticleData* particleDataPtrIn,
  Rndm* rndmPtrIn,PDF* pdfInPtr, PDF* pdfHardInPtr, bool isUnresolvedIn,
  StringFlav* flavSelPtrIn) {

  // Store input pointers (and one bool) for future use.
  infoPtr           = infoPtrIn;
  particleDataPtr   = particleDataPtrIn;
  rndmPtr           = rndmPtrIn;
  pdfBeamPtr        = pdfInPtr;
  pdfHardBeamPtr    = pdfHardInPtr;
  isUnresolvedBeam  = isUnresolvedIn;
  flavSelPtr        = flavSelPtrIn;

  // Maximum quark kind in allowed incoming beam hadrons.
  maxValQuark       = settings.mode("BeamRemnants:maxValQuark");

  // Power of (1-x)^power/sqrt(x) for remnant valence quark distribution.
  valencePowerMeson = settings.parm("BeamRemnants:valencePowerMeson");
  valencePowerUinP  = settings.parm("BeamRemnants:valencePowerUinP");
  valencePowerDinP  = settings.parm("BeamRemnants:valencePowerDinP");

  // Enhancement factor of x of diquark.
  valenceDiqEnhance = settings.parm("BeamRemnants:valenceDiqEnhance");

  // Assume g(x) ~ (1-x)^power/x to constrain companion to sea quark.
  companionPower    = settings.mode("BeamRemnants:companionPower");

  // Assume g(x) ~ (1-x)^power/x to constrain companion to sea quark.
  companionPower    = settings.mode("BeamRemnants:companionPower");

  // Allow or not more than one valence quark to be kicked out.
  allowJunction     = settings.flag("BeamRemnants:allowJunction");

  // For low-mass diffractive system kick out q/g = norm / mass^power.
  pickQuarkNorm     = settings.parm("Diffraction:pickQuarkNorm");
  pickQuarkPower    = settings.parm("Diffraction:pickQuarkPower");

  // Width of primordial kT distribution in low-mass diffractive systems.
  diffPrimKTwidth   = settings.parm("Diffraction:primKTwidth");

  // Suppress large masses of beam remnant in low-mass diffractive systems.
  diffLargeMassSuppress = settings.parm("Diffraction:largeMassSuppress");

  // Store info on the incoming beam.
  idBeam            = idIn;
  initBeamKind();
  pBeam             = Vec4( 0., 0., pzIn, eIn);
  mBeam             = mIn;

}

//--------------------------------------------------------------------------

// Initialize kind and valence flavour content of incoming beam.
// For recognized hadrons one can generate multiparton interactions.
// Dynamic choice of meson valence flavours in newValenceContent below.

void BeamParticle::initBeamKind() {

  // Reset.
  idBeamAbs    = abs(idBeam);
  isLeptonBeam = false;
  isHadronBeam = false;
  isMesonBeam  = false;
  isBaryonBeam = false;
  nValKinds    = 0;

  // Check for leptons.
  if (idBeamAbs > 10 && idBeamAbs < 17) {
    nValKinds = 1;
    nVal[0]   = 1;
    idVal[0]  = idBeam;
    isLeptonBeam = true;
  }

  //  Done if cannot be lowest-lying hadron state.
  if (idBeamAbs < 101 || idBeamAbs > 9999) return;

  // Resolve valence content for assumed Pomeron.
  if (idBeamAbs == 990) {
    isMesonBeam = true;
    nValKinds = 2;
    nVal[0]   = 1 ;
    nVal[1]   = 1 ;
    newValenceContent();
  
  // Resolve valence content for assumed meson. Flunk unallowed codes.
  } else if (idBeamAbs < 1000) {
    int id1 = idBeamAbs/100;
    int id2 = (idBeamAbs/10)%10;
    if ( id1 < 1 || id1 > maxValQuark
      || id2 < 1 || id2 > maxValQuark ) return;
    isMesonBeam = true;
    
    // Store valence content of a confirmed meson.
    nValKinds = 2;
    nVal[0]   = 1 ;
    nVal[1]   = 1;
    if (id1%2 == 0) {
      idVal[0] = id1;
      idVal[1] = -id2;
    } else {
      idVal[0] = id2;
      idVal[1] = -id1;
    }
    newValenceContent();
  
  // Resolve valence content for assumed baryon. Flunk unallowed codes.
  } else {
    int id1 = idBeamAbs/1000;
    int id2 = (idBeamAbs/100)%10;
    int id3 = (idBeamAbs/10)%10;
    if ( id1 < 1 || id1 > maxValQuark || id2 < 1 || id2 > maxValQuark
      || id3 < 1 || id3 > maxValQuark) return;
    if (id2 > id1 || id3 > id1) return;
    isBaryonBeam = true;

    // Store valence content of a confirmed baryon.
    nValKinds = 1; idVal[0] = id1; nVal[0] = 1;
    if (id2 == id1) ++nVal[0];
    else {
      nValKinds = 2;
      idVal[1]  = id2;
      nVal[1]   = 1;
    }
    if (id3 == id1) ++nVal[0];
    else if (id3 == id2) ++nVal[1];
    else {
      idVal[nValKinds] = id3;
      nVal[nValKinds]  = 1;
      ++nValKinds;
    }
  }
  
  // Flip flavours for antimeson or antibaryon, and then done.
  if (idBeam < 0) for (int i = 0; i < nValKinds; ++i) idVal[i] = -idVal[i];
  isHadronBeam = true;
  Q2ValFracSav = -1.;

}

//--------------------------------------------------------------------------


// Dynamic choice of meson valence flavours for pi0, K0S, K0L, Pomeron.

void BeamParticle::newValenceContent() {

  // A pi0 oscillates between d dbar and u ubar.
  if (idBeam == 111) {
    idVal[0] = (rndmPtr->flat() < 0.5) ? 1 : 2;
    idVal[1] = -idVal[0];

  // A K0S or K0L oscillates between d sbar and s dbar.
  } else if (idBeam == 130 || idBeam == 310) {
    idVal[0] = (rndmPtr->flat() < 0.5) ?  1 :  3;
    idVal[1] = (idVal[0] == 1)      ? -3 : -1;

  // For a Pomeron split gluon remnant into d dbar or u ubar.
  } else if (idBeam == 990) {
    idVal[0] = (rndmPtr->flat() < 0.5) ? 1 : 2;
    idVal[1] = -idVal[0];

  // Other hadrons so far do not require any event-by-event change.
  } else return;

  // Propagate change to PDF routine(s).
  pdfBeamPtr->newValenceContent( idVal[0], idVal[1]);
  if (pdfHardBeamPtr != pdfBeamPtr && pdfHardBeamPtr != 0)
    pdfHardBeamPtr->newValenceContent( idVal[0], idVal[1]);

}

//--------------------------------------------------------------------------

double BeamParticle::xMax(int iSkip) {

  // Minimum requirement on remaining energy > nominal mass for hadron.
  double xLeft = 1.;
  if (isHadron()) xLeft -= m() / e();
  if (size() == 0) return xLeft;

  // Subtract what was carried away by initiators (to date).
  for (int i = 0; i < size(); ++i)
    if (i != iSkip && resolved[i].isFromBeam()) xLeft -= resolved[i].x();
  return xLeft;

}

//--------------------------------------------------------------------------

// Parton distributions, reshaped to take into account previous
// multiparton interactions. By picking a non-negative iSkip value,
// one particular interaction is skipped, as needed for ISR

double BeamParticle::xfModified(int iSkip, int idIn, double x, double Q2) {

  // Initial values.
  idSave    = idIn;
  iSkipSave = iSkip;
  xqVal     = 0.;
  xqgSea    = 0.;
  xqCompSum = 0.;

  // Fast procedure for first interaction.
  if (size() == 0) {
    if (x >= 1.) return 0.;
    bool canBeVal = false;
    for (int i = 0; i < nValKinds; ++i)
      if (idIn == idVal[i]) canBeVal = true;
    if (canBeVal) {
      xqVal     = xfVal( idIn, x, Q2);
      xqgSea    = xfSea( idIn, x, Q2);
    }
    else xqgSea = xf( idIn, x, Q2);

  // More complicated procedure for non-first interaction.
  } else {

    // Sum up the x already removed, and check that remaining x is enough.
    double xUsed = 0.;
    for (int i = 0; i < size(); ++i)
      if (i != iSkip) xUsed += resolved[i].x();
    double xLeft = 1. - xUsed;
    if (x >= xLeft) return 0.;
    double xRescaled = x / xLeft;

    // Calculate total and remaining amount of x carried by valence quarks.
    double xValTot = 0.;
    double xValLeft = 0.;
    for (int i = 0; i < nValKinds; ++i) {
      nValLeft[i] = nVal[i];
      for (int j = 0; j < size(); ++j)
      if (j != iSkip && resolved[j].isValence()
        && resolved[j].id() == idVal[i]) --nValLeft[i];
      double xValNow =  xValFrac(i, Q2);
      xValTot += nVal[i] * xValNow;
      xValLeft += nValLeft[i] * xValNow;
    }

    // Calculate total amount of x carried by unmatched companion quarks.
    double xCompAdded = 0.;
    for (int i = 0; i < size(); ++i)
    if (i != iSkip && resolved[i].isUnmatched()) xCompAdded
      += xCompFrac( resolved[i].x() / (xLeft + resolved[i].x()) )
      // Typo warning: extrafactor missing in Skands&Sjostrand article;
      //  for companion refers to fraction of x left INCLUDING sea quark.
      // To be modified further??
      * (1. + resolved[i].x() / xLeft);
  
    // Calculate total rescaling factor and pdf for sea and gluon.
    double rescaleGS = max( 0., (1. - xValLeft - xCompAdded)
      / (1. - xValTot) );
    xqgSea = rescaleGS * xfSea( idIn, xRescaled, Q2);

    // Find valence part and rescale it to remaining number of quarks.
    for (int i = 0; i < nValKinds; ++i)
    if (idIn == idVal[i] && nValLeft[i] > 0)
      xqVal = xfVal( idIn, xRescaled, Q2)
      * double(nValLeft[i]) / double(nVal[i]);
                                                                               
    // Find companion part, by adding all companion contributions.
    for (int i = 0; i < size(); ++i)
    if (i != iSkip && resolved[i].id() == -idIn
      && resolved[i].isUnmatched()) {
      double xsRescaled = resolved[i].x() / (xLeft + resolved[i].x());
      double xcRescaled = x / (xLeft + resolved[i].x());
      double xqCompNow = xCompDist( xcRescaled, xsRescaled);
      resolved[i].xqCompanion( xqCompNow);
      xqCompSum += xqCompNow;
    }
  }

  // Add total, but only return relevant part for ISR. More cases??
  // Watch out, e.g. g can come from either kind of quark.??
  xqgTot = xqVal + xqgSea + xqCompSum;
  if (iSkip >= 0) {
    if (resolved[iSkip].isValence()) return xqVal;
    if (resolved[iSkip].isUnmatched()) return xqgSea + xqCompSum;
  }
  return xqgTot;
  
}

//--------------------------------------------------------------------------

// Decide whether a quark extracted from the beam is of valence, sea or
// companion kind; in the latter case also pick its companion.
// Assumes xfModified has already been called.

int BeamParticle::pickValSeaComp() {

  // If parton already has a companion than reset code for this.
  int oldCompanion = resolved[iSkipSave].companion();
  if (oldCompanion >= 0) resolved[oldCompanion].companion(-2);

  // Default assignment is sea.
  int vsc = -2;

  // For gluons or photons no sense of valence or sea.
  if (idSave == 21 || idSave == 22) vsc = -1;

  // For lepton beam assume same-kind lepton inside is valence.
  else if (isLeptonBeam && idSave == idBeam) vsc = -3;

  // Decide if valence or sea quark.
  else {
    double xqRndm = xqgTot * rndmPtr->flat();
    if (xqRndm < xqVal) vsc = -3;
    else if (xqRndm < xqVal + xqgSea) vsc = -2;
 
    // If not either, loop over all possible companion quarks.
    else {
      xqRndm -= xqVal + xqgSea;
      for (int i = 0; i < size(); ++i)
      if (i != iSkipSave && resolved[i].id() == -idSave
        && resolved[i].isUnmatched()) {
        xqRndm -= resolved[i].xqCompanion();
        if (xqRndm < 0.) vsc = i;
        break;
      }
    }
  }

  // Bookkeep assignment; for sea--companion pair both ways.
  resolved[iSkipSave].companion(vsc);
  if (vsc >= 0) resolved[vsc].companion(iSkipSave);
  
  // Done; return code for choice (to distinguish valence/sea in Info).
  return vsc;

}

//--------------------------------------------------------------------------

// Fraction of hadron momentum sitting in a valence quark distribution.
// Based on hardcoded parametrizations of CTEQ 5L numbers.

double BeamParticle::xValFrac(int j, double Q2) {

  // Only recalculate when required.
  if (Q2 != Q2ValFracSav) {
    Q2ValFracSav = Q2;
     
    // Q2-dependence of log-log form; assume fixed Lambda = 0.2.
    double llQ2 = log( log( max( 1., Q2) / 0.04 ));

    // Fractions carried by u and d in proton.
    uValInt =  0.48 / (1. + 1.56 * llQ2);
    dValInt = 0.385 / (1. + 1.60 * llQ2);
  }

  // Baryon with three different quark kinds: (2 * u + d) / 3 of proton.
  if (isBaryonBeam && nValKinds == 3) return (2. * uValInt + dValInt) / 3.;

  // Baryon with one or two identical: like d or u of proton.
  if (isBaryonBeam && nVal[j] == 1) return dValInt;
  if (isBaryonBeam && nVal[j] == 2) return uValInt;

  // Meson: (2 * u + d) / 2 of proton so same total valence quark fraction.
    return 0.5 * (2. * uValInt + dValInt);

}

//--------------------------------------------------------------------------

// The momentum integral of a companion quark, with its partner at x_s,
// using an approximate gluon density like (1 - x_g)^power / x_g.
// The value corresponds to an unrescaled range between 0 and 1 - x_s.

double BeamParticle::xCompFrac(double xs) {

  // Select case by power of gluon (1-x_g) shape.
  switch (companionPower) {

    case 0:
       return xs * ( 5. + xs * (-9. - 2. * xs * (-3. + xs)) + 3. * log(xs) )
         / ( (-1. + xs) * (2. + xs * (-1. + 2. * xs)) );

    case 1:
       return -1. -3. * xs + ( 2. * pow2(-1. + xs) * (1. + xs + xs*xs))
         / ( 2. + xs*xs * (xs - 3.) + 3. * xs * log(xs) );

    case 2:
       return xs * ( (1. - xs) * (19. + xs * (43. + 4. * xs))
         + 6. * log(xs) * (1. + 6. * xs + 4.*xs*xs) ) /
        ( 4. * ( (xs - 1.) * (1. + xs * (4. + xs) )
        - 3. * xs * log(xs) * (1 + xs) ) );

    case 3:
      return 3. * xs * ( (xs - 1.) * (7. + xs * (28. + 13. * xs))
        - 2. * log(xs) * (1. + xs * (9. + 2. * xs * (6. + xs))) )
        / ( 4. + 27. * xs - 31. * pow3(xs)
        + 6. * xs * log(xs) * (3. + 2. * xs * (3.+xs)) );

    default:
      return ( -9. * xs * (xs*xs - 1.) * (5. + xs * (24. + xs)) + 12. * xs
        * log(xs) * (1. + 2. * xs) * (1. + 2. * xs * (5. + 2. * xs)) )
        / ( 8. * (1. + 2. * xs) * ((xs - 1.) * (1. + xs * (10. + xs))
        - 6. * xs * log(xs) * (1. + xs)) );

  }
}

//--------------------------------------------------------------------------

// The x*f pdf of a companion quark at x_c, with its sea partner at x_s,
// using an approximate gluon density like (1 - x_g)^power / x_g.
// The value corresponds to an unrescaled range between 0 and 1 - x_s.

double BeamParticle::xCompDist(double xc, double xs) {

  // Mother gluon momentum fraction. Check physical limit.
  double xg = xc + xs;
  if (xg > 1.) return 0.;

  // Common factor, including splitting kernel and part of gluon density
  // (and that it is x_c * f that is coded).
  double fac = 3. * xc * xs * (xc*xc + xs*xs) / pow4(xg);

  // Select case by power of gluon (1-x_g) shape.
  switch (companionPower) {

    case 0:
      return fac / ( 2. - xs * (3. - xs * (3. - 2. * xs)) );

    case 1:
      return fac * (1. - xg) / ( 2. + xs*xs * (-3. + xs) + 3. * xs * log(xs) );

    case 2:
      return fac * pow2(1. - xg) / ( 2. * ((1. - xs) * (1. + xs * (4. + xs))
        + 3. * xs * (1. + xs) * log(xs)) );

    case 3:
      return fac * pow3(1. - xg) * 2. / ( 4. + 27. * xs - 31. * pow3(xs)
        + 6. * xs * log(xs) * (3. + 2. * xs * (3. + xs)) );

    default:
       return fac * pow4(1. - xg) / ( 2. * (1. + 2. * xs) * ((1. - xs)
         * (1. + xs * (10. + xs)) + 6. * xs * log(xs) * (1. + xs)) );

  }
}

//--------------------------------------------------------------------------

// Add required extra remnant flavour content. Also initial colours.

bool BeamParticle::remnantFlavours(Event& event) {

  // A baryon will have a junction, unless a diquark is formed later.
  hasJunctionBeam = (isBaryon());

  // Store how many hard-scattering partons were removed from beam.
  nInit = size();

  // Find remaining valence quarks.
  for (int i = 0; i < nValKinds; ++i) {
    nValLeft[i] = nVal[i];
    for (int j = 0; j < nInit; ++j) if (resolved[j].isValence()
      && resolved[j].id() == idVal[i]) --nValLeft[i];
    // Add remaining valence quarks to record. Partly temporary values.
    for (int k = 0; k < nValLeft[i]; ++k) append(0, idVal[i], 0., -3);
  }

  // If at least two valence quarks left in baryon remnant then form diquark.
  int nInitPlusVal = size();
  if (isBaryon() && nInitPlusVal - nInit >= 2) {

    // If three, pick two at random to form diquark, else trivial.
    int iQ1 = nInit;
    int iQ2 = nInit + 1;
    if (nInitPlusVal - nInit == 3) {
      double pickDq = 3. * rndmPtr->flat();
      if (pickDq > 1.) iQ2 = nInit + 2;
      if (pickDq > 2.) iQ1 = nInit + 1;
    }

    // Pick spin 0 or 1 according to SU(6) wave function factors.
    int idDq = flavSelPtr->makeDiquark( resolved[iQ1].id(),
      resolved[iQ2].id(), idBeam);

    // Overwrite with diquark flavour and remove one slot. No more junction.
    resolved[iQ1].id(idDq);
    if (nInitPlusVal - nInit == 3 && iQ2 == nInit + 1)
      resolved[nInit + 1].id( resolved[nInit + 2].id() );
    resolved.pop_back();
    hasJunctionBeam = false;
  }

  // Find companion quarks to unmatched sea quarks.
  for (int i = 0; i < nInit; ++i)
  if (resolved[i].isUnmatched()) {

    // Add companion quark to record; and bookkeep both ways.
    append(0, -resolved[i].id(), 0., i);
    resolved[i].companion(size() - 1);
  }

  // If no other remnants found, add a gluon or photon to carry momentum.
  if (size() == nInit) {
    int    idRemnant = (isHadronBeam) ? 21 : 22;
    append(0, idRemnant, 0., -1);
  }

  // Set initiator and remnant masses.
  for (int i = 0; i < size(); ++i) {
    if (i < nInit) resolved[i].m(0.);
    else resolved[i].m( particleDataPtr->m0( resolved[i].id() ) );
  }

  // For debug purposes: reject beams with resolved junction topology.
  if (hasJunctionBeam && !allowJunction) return false;

  // Pick initial colours for remnants.
  for (int i = nInit; i < size(); ++i) {
    int colType = particleDataPtr->colType( resolved[i].id() );
    int col = (colType == 1 || colType == 2) ? event.nextColTag() : 0;
    int acol = (colType == -1 || colType == 2) ? event.nextColTag() : 0;
    resolved[i].cols( col, acol);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Correlate all initiators and remnants to make a colour singlet.

bool BeamParticle::remnantColours(Event& event, vector& colFrom,
  vector& colTo) {

  // No colours in lepton beams so no need to do anything.
  if (isLeptonBeam) return true;

  // Copy initiator colour info from the event record to the beam.
  for (int i = 0; i < size(); ++i) {
    int j =  resolved[i].iPos();
    resolved[i].cols( event[j].col(), event[j].acol());
  }

  // Find number and position of valence quarks, of gluons, and
  // of sea-companion pairs (counted as gluons) in the beam remnants.
  // Skip gluons with same colour as anticolour and rescattering partons.
  vector iVal;
  vector iGlu;
  for (int i = 0; i < size(); ++i)
  if (resolved[i].isFromBeam()) {
    if ( resolved[i].isValence() ) iVal.push_back(i);
    else if ( resolved[i].isCompanion() && resolved[i].companion() > i )
      iGlu.push_back(i);
    else if ( resolved[i].id() == 21
      && resolved[i].col() != resolved[i].acol() ) iGlu.push_back(i);
  }
      
  // Pick a valence quark to which gluons are attached.
  // Do not resolve quarks in diquark. (More sophisticated??)
  int iValSel= iVal[0];
  if (iVal.size() == 2) {
    if ( abs(resolved[iValSel].id()) > 10 ) iValSel = iVal[1];
  } else {
    double rndmValSel = 3. * rndmPtr->flat();
    if (rndmValSel > 1.) iValSel= iVal[1];
    if (rndmValSel > 2.) iValSel= iVal[2];
  }

  // This valence quark defines initial (anti)colour.
  int iBeg = iValSel;
  bool hasCol = (resolved[iBeg].col() > 0);
  int begCol = (hasCol) ? resolved[iBeg].col() : resolved[iBeg].acol();

  // Do random stepping through gluon/(sea+companion) list.
  vector iGluRndm;
  for (int i = 0; i < int(iGlu.size()); ++i)
    iGluRndm.push_back( iGlu[i] );
  for (int iOrder = 0; iOrder < int(iGlu.size()); ++iOrder) {
    int iRndm = int( double(iGluRndm.size()) * rndmPtr->flat());
    int iGluSel = iGluRndm[iRndm];
    iGluRndm[iRndm] = iGluRndm[iGluRndm.size() - 1];
    iGluRndm.pop_back();

    // Find matching anticolour/colour to current colour/anticolour.
    int iEnd = iGluSel;
    int endCol = (hasCol) ? resolved[iEnd].acol() : resolved[iEnd].col();
    // Not gluon but sea+companion pair: go to other.
    if (endCol == 0) {
      iEnd = resolved[iEnd].companion();
      endCol = (hasCol) ? resolved[iEnd].acol() : resolved[iEnd].col();
    }

    // Collapse this colour-anticolour pair to the lowest one.
    if (begCol < endCol) {
      if (hasCol) resolved[iEnd].acol(begCol);
      else resolved[iEnd].col(begCol);
      colFrom.push_back(endCol);
      colTo.push_back(begCol);
    } else {
      if (hasCol) resolved[iBeg].col(endCol);
      else resolved[iBeg].acol(endCol);
      colFrom.push_back(begCol);
      colTo.push_back(endCol);
    }

    // Pick up the other colour of the recent gluon and repeat.
    iBeg = iEnd;
    begCol = (hasCol) ? resolved[iBeg].col() : resolved[iBeg].acol();
    // Not gluon but sea+companion pair: go to other.
    if (begCol == 0) {
      iBeg = resolved[iBeg].companion();
      begCol = (hasCol) ? resolved[iBeg].col() : resolved[iBeg].acol();
    }

  // At end of gluon/(sea+companion) list.
  }
 
  // Now begin checks, and also finding junction information.
  // Loop through remnant partons; isolate all colours and anticolours.
  vector colList;
  vector acolList;
  for (int i = 0; i < size(); ++i)
  if ( resolved[i].isFromBeam() )
  if ( resolved[i].col() != resolved[i].acol() ) {
    if (resolved[i].col() > 0) colList.push_back( resolved[i].col() );
    if (resolved[i].acol() > 0) acolList.push_back( resolved[i].acol() );
  }

  // Remove all matching colour-anticolour pairs.
  bool foundPair = true;
  while (foundPair && colList.size() > 0 && acolList.size() > 0) {
    foundPair = false;
    for (int iCol = 0; iCol < int(colList.size()); ++iCol) {
      for (int iAcol = 0; iAcol < int(acolList.size()); ++iAcol) {
        if (acolList[iAcol] == colList[iCol]) {
          colList[iCol] = colList.back();
          colList.pop_back();
          acolList[iAcol] = acolList.back();
          acolList.pop_back();
          foundPair = true;
          break;
        }
      } if (foundPair) break;
    }
  }

  // Usually one unmatched pair left to collapse.
  if (colList.size() == 1 && acolList.size() == 1) {
    int finalFrom = max( colList[0], acolList[0]);
    int finalTo   = min( colList[0], acolList[0]);
    for (int i = 0; i < size(); ++i)
    if ( resolved[i].isFromBeam() ) {
      if (resolved[i].col()  == finalFrom) resolved[i].col(finalTo);
      if (resolved[i].acol() == finalFrom) resolved[i].acol(finalTo);
    }
    colFrom.push_back(finalFrom);
    colTo.push_back(finalTo);

  // Store an (anti)junction when three (anti)coloured daughters.
  } else if (hasJunctionBeam && colList.size() == 3
    && acolList.size() == 0) {
    event.appendJunction( 1, colList[0], colList[1], colList[2]);
    junCol[0] = colList[0];
    junCol[1] = colList[1];
    junCol[2] = colList[2];
  } else if (hasJunctionBeam && acolList.size() == 3
    && colList.size() == 0) {
    event.appendJunction( 2, acolList[0], acolList[1], acolList[2]);
    junCol[0] = acolList[0];
    junCol[1] = acolList[1];
    junCol[2] = acolList[2];

  // Any other nonvanishing values indicate failure.
  } else if (colList.size() > 0 || acolList.size() > 0) {
    infoPtr->errorMsg("Error in BeamParticle::remnantColours: "
      "leftover unmatched colours");
    return false;
  }

  // Store colour assignment of beam particles.
  for (int i = nInit; i < size(); ++i)
    event[resolved[i].iPos()].cols( resolved[i].col(), resolved[i].acol() );

  // Done.
  return true;
}


//--------------------------------------------------------------------------

// Pick unrescaled x values for beam remnant sharing.

double BeamParticle::xRemnant( int i) {

  double x = 0.;

  // Calculation of x of valence quark or diquark, for latter as sum.
  if (resolved[i].isValence()) {

    // Resolve diquark into sum of two quarks.
    int id1 = resolved[i].id();
    int id2 = 0;
    if (abs(id1) > 10) {
      id2 = (id1 > 0) ? (id1/100)%10 : -(((-id1)/100)%10);
      id1 = (id1 > 0) ? id1/1000 : -((-id1)/1000);
    }
 
    // Loop over (up to) two quarks; add their contributions.
    for (int iId = 0; iId < 2; ++iId) {
      int idNow = (iId == 0) ? id1 : id2;
      if (idNow == 0) break;
      double xPart = 0.;

      // Assume form (1-x)^a / sqrt(x).
      double xPow = valencePowerMeson;
      if (isBaryonBeam) {
        if (nValKinds == 3 || nValKinds == 1)
          xPow = (3. * rndmPtr->flat() < 2.)
            ? valencePowerUinP : valencePowerDinP ;
        else if (nValence(idNow) == 2) xPow = valencePowerUinP;
        else xPow = valencePowerDinP;
      }
      do xPart = pow2( rndmPtr->flat() );
      while ( pow(1. - xPart, xPow) < rndmPtr->flat() );

      // End loop over (up to) two quarks. Possibly enhancement for diquarks.
      x += xPart;
    }
   if (id2 != 0) x *= valenceDiqEnhance;
      
  // Calculation of x of sea quark, based on companion association.
  } else if (resolved[i].isCompanion()) {

    // Find rescaled x value of companion.
    double xLeft = 1.;
    for (int iInit = 0; iInit < nInit; ++iInit)
      if (resolved[iInit].isFromBeam()) xLeft -= resolved[iInit].x();
    double xCompanion = resolved[ resolved[i].companion() ].x();
    xCompanion /= (xLeft + xCompanion);

    // Now use ansatz q(x; x_c) < N/(x +x_c) to pick x.
    do x = pow( xCompanion, rndmPtr->flat()) - xCompanion;
    while ( pow( (1. - x - xCompanion) / (1. - xCompanion), companionPower)
      * (pow2(x) + pow2(xCompanion)) / pow2(x + xCompanion)
      < rndmPtr->flat() );

  // Else, rarely, a single gluon remnant, so value does not matter.
  } else x = 1.;
  return x;

}
   
//--------------------------------------------------------------------------

// Print the list of resolved partons in a beam.

void BeamParticle::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA Partons resolved in beam  -----------------"
     << "-------------------------------------------------------------\n"
     << "\n    i  iPos      id       x    comp   xqcomp    pTfact      "
     << "colours      p_x        p_y        p_z         e          m \n";
  
  // Loop over list of removed partons and print it.
  double xSum  = 0.;
  Vec4   pSum;
  for (int i = 0; i < size(); ++i) {
    ResolvedParton res = resolved[i];
    os << fixed << setprecision(6) << setw(5) << i << setw(6) << res.iPos()
       << setw(8) << res.id() << setw(10) << res.x() << setw(6)
       << res.companion() << setw(10) << res.xqCompanion() << setw(10)
       << res.pTfactor() << setprecision(3) << setw(6) << res.col()
       << setw(6) << res.acol() << setw(11) << res.px() << setw(11)
       << res.py() << setw(11) << res.pz() << setw(11) << res.e()
       << setw(11) << res.m() << "\n";

    // Also find sum of x and p values.
    if (res.companion() != -10) {
      xSum  += res.x();
      pSum  += res.p();
    }
  }

  // Print sum and endline.
  os << setprecision(6) << "             x sum:" << setw(10) << xSum
     << setprecision(3) << "                                p sum:"
     << setw(11) << pSum.px() << setw(11) << pSum.py() << setw(11)
     << pSum.pz() << setw(11) << pSum.e()
     << "\n\n --------  End PYTHIA Partons resolved in beam  -----------"
     << "---------------------------------------------------------------"
     << endl;
}
   
//--------------------------------------------------------------------------

// Test whether a lepton is to be considered as unresolved.

bool BeamParticle::isUnresolvedLepton() {
 
  // Require record to consist of lepton with full energy plus a photon.
  if (!isLeptonBeam || resolved.size() > 2 || resolved[1].id() != 22
    || resolved[0].x() < XMINUNRESOLVED) return false;
  return true;
  
}
   
//--------------------------------------------------------------------------

// For a diffractive system, decide whether to kick out gluon or quark.

bool BeamParticle::pickGluon(double mDiff) {
  
  // Relative weight to pick a quark, assumed falling with energy.
  double probPickQuark = pickQuarkNorm / pow( mDiff, pickQuarkPower);
  return  ( (1. + probPickQuark) * rndmPtr->flat() < 1. );
  
}
   
//--------------------------------------------------------------------------

// Pick a valence quark at random. (Used for diffractive systems.)

int BeamParticle::pickValence() {

  // Pick one valence quark at random.
  int nTotVal = (isBaryonBeam) ? 3 : 2;
  double rnVal = rndmPtr->flat() * nTotVal;
  int iVal = (rnVal < 1.) ? 1 : ( (rnVal < 2.) ? 2 : 3 );

  // This valence in slot 1, the rest thereafter.
  idVal1 = 0;
  idVal2 = 0;
  idVal3 = 0;
  int iNow = 0;
  for (int i = 0; i < nValKinds; ++i)
  for (int j = 0; j < nVal[i]; ++j) {
    ++iNow;
    if (iNow == iVal) idVal1 = idVal[i];
    else if ( idVal2 == 0) idVal2 = idVal[i];
    else idVal3 = idVal[i];
  }

  // Construct diquark if baryon.
  if (idVal3 != 0) idVal2 = flavSelPtr->makeDiquark( idVal2, idVal3, idBeam);

  // Done.
  return idVal1;

}
   
//--------------------------------------------------------------------------

// Share lightcone momentum between two remnants in a diffractive system.

double BeamParticle::zShare( double mDiff, double m1, double m2) {

  // Set up as valence in normal beam so can use xRemnant code.
  append(0, idVal1, 0., -3);
  append(0, idVal2, 0., -3);
  double m2Diff = mDiff*mDiff;

  // Begin to generate z and pT until acceptable solution.
  double wtAcc = 0.;
  do {
    double x1 = xRemnant(0);
    double x2 = xRemnant(0);
    zRel = x1 / (x1 + x2);
    pair gauss2 = rndmPtr->gauss2();
    pxRel = diffPrimKTwidth * gauss2.first;
    pyRel = diffPrimKTwidth * gauss2.second;

    // Suppress large invariant masses of remnant system.
    double mTS1 = m1*m1 + pxRel*pxRel + pyRel*pyRel;
    double mTS2 = m2*m2 + pxRel*pxRel + pyRel*pyRel;
    double m2Sys = mTS1 / zRel + mTS2 / (1. - zRel);
    wtAcc = (m2Sys < m2Diff)
      ? pow( 1. - m2Sys / m2Diff, diffLargeMassSuppress) : 0.;
  } while (wtAcc < rndmPtr->flat());

  // Done.
  return zRel;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/StringFragmentation.cc0000644000175000017500000013574412357054765017456 0ustar  sunsun// StringFragmentation.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the StringEnd and
// StringFragmentation classes.

#include "Pythia8/StringFragmentation.h"

namespace Pythia8 {
 
//==========================================================================

// The StringEnd class.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.

// Avoid unphysical solutions to equation system.
const double StringEnd::TINY = 1e-6;

// Assume two (eX, eY) regions are related if pT2 differs by less.
const double StringEnd::PT2SAME = 0.01;

//--------------------------------------------------------------------------

// Set up initial endpoint values from input.

void StringEnd::setUp(bool fromPosIn, int iEndIn, int idOldIn, int iMaxIn,
  double pxIn, double pyIn, double GammaIn, double xPosIn, double xNegIn) {

  // Simple transcription from input.
  fromPos  = fromPosIn;
  iEnd     = iEndIn;
  iMax     = iMaxIn;
  flavOld  = FlavContainer(idOldIn);
  pxOld    = pxIn;
  pyOld    = pyIn;
  GammaOld = GammaIn;
  iPosOld  = (fromPos) ? 0 : iMax;
  iNegOld  = (fromPos) ? iMax : 0;
  xPosOld  = xPosIn;
  xNegOld  = xNegIn;

}

//--------------------------------------------------------------------------

// Fragment off one hadron from the string system, in flavour and pT.

void StringEnd::newHadron() {

  // Pick new flavour and form a new hadron.
  do {
    flavNew = flavSelPtr->pick( flavOld);
    idHad   = flavSelPtr->combine( flavOld, flavNew);
  } while (idHad == 0);

  // Pick its transverse momentum.
  pair pxy = pTSelPtr->pxy();
  pxNew = pxy.first;
  pyNew = pxy.second;
  pxHad = pxOld + pxNew;
  pyHad = pyOld + pyNew;

  // Pick its mass and thereby define its transverse mass.
  mHad   = particleDataPtr->mSel(idHad);
  mT2Had = pow2(mHad) + pow2(pxHad) + pow2(pyHad);

}

//--------------------------------------------------------------------------

// Fragment off one hadron from the string system, in momentum space,
// by taking steps from positive end.

Vec4 StringEnd::kinematicsHadron( StringSystem& system) {

  // Pick fragmentation step z and calculate new Gamma.
  zHad = zSelPtr->zFrag( flavOld.id, flavNew.id, mT2Had);
  GammaNew = (1. - zHad) * (GammaOld + mT2Had / zHad);
  
  // Set up references that are direction-neutral;
  // ...Dir for direction of iteration and ...Inv for its inverse.
  int&    iDirOld = (fromPos) ? iPosOld : iNegOld;
  int&    iInvOld = (fromPos) ? iNegOld : iPosOld;
  int&    iDirNew = (fromPos) ? iPosNew : iNegNew;
  int&    iInvNew = (fromPos) ? iNegNew : iPosNew;
  double& xDirOld = (fromPos) ? xPosOld : xNegOld;
  double& xInvOld = (fromPos) ? xNegOld : xPosOld;
  double& xDirNew = (fromPos) ? xPosNew : xNegNew;
  double& xInvNew = (fromPos) ? xNegNew : xPosNew;
  double& xDirHad = (fromPos) ? xPosHad : xNegHad;
  double& xInvHad = (fromPos) ? xNegHad : xPosHad;

  // Start search for new breakup in the old region.
  iDirNew = iDirOld;
  iInvNew = iInvOld;
  Vec4 pTNew;

  // Each step corresponds to trying a new string region.
  for (int iStep = 0; ; ++iStep) {

    // Referance to current string region.
    StringRegion& region = system.region( iPosNew, iNegNew);

    // Now begin special section for rapid processing of low region.
    if (iStep == 0 && iPosOld + iNegOld == iMax) {

      // A first step within a low region is easy.
      if (mT2Had < zHad * xDirOld * (1. - xInvOld) * region.w2) {

        // Translate into x coordinates.
        xDirHad = zHad * xDirOld;
        xInvHad = mT2Had / (xDirHad * region.w2);
        xDirNew = xDirOld - xDirHad;
        xInvNew = xInvOld + xInvHad;

        // Find and return four-momentum of the produced particle.
        return region.pHad( xPosHad, xNegHad, pxHad, pyHad);

      // A first step out of a low region also OK, if there are more regions.
      // Negative energy signals failure, i.e. in last region.
      } else {
        --iInvNew;
        if (iInvNew < 0) return Vec4(0., 0., 0., -1.);

        // Momentum taken by stepping out of region. Continue to next region.
        xInvHad = 1. - xInvOld;
        xDirHad = 0.;
        pSoFar  = region.pHad( xPosHad, xNegHad, pxOld, pyOld);
        continue;
      }

    // Else, for first step, take into account starting pT.
    } else if (iStep == 0) {
      pSoFar = region.pHad( 0., 0., pxOld, pyOld);
      pTNew  = region.pHad( 0., 0., pxNew, pyNew);
    }

    // Now begin normal treatment of nontrivial regions.
    // Set up four-vectors in a region not visited before.
    if (!region.isSetUp) region.setUp(
      system.regionLowPos(iPosNew).pPos,
      system.regionLowNeg(iNegNew).pNeg, true);

    // If new region is vanishingly small, continue immediately to next.
    // Negative energy signals failure to do this, i.e. moved too low.
    if (region.isEmpty) {
      xDirHad = (iDirNew == iDirOld) ? xDirOld : 1.;
      xInvHad = 0.;
      pSoFar += region.pHad( xPosHad, xNegHad, 0., 0.);
      ++iDirNew;
      if (iDirNew + iInvNew > iMax) return Vec4(0., 0., 0., -1.);
      continue;
    }

    // Reexpress pTNew w.r.t. base vectors in new region, if possible.
    // Recall minus sign from normalization e_x^2 = e_y^2 = -1.
    double pxNewTemp = -pTNew * region.eX;
    double pyNewTemp = -pTNew * region.eY;
    if (abs( pxNewTemp * pxNewTemp + pyNewTemp * pyNewTemp
      - pxNew * pxNew - pyNew * pyNew) < PT2SAME) {
      pxNew = pxNewTemp;
      pyNew = pyNewTemp;
    }

    // Four-momentum taken so far, including new pT.
    Vec4 pTemp = pSoFar + region.pHad( 0., 0., pxNew, pyNew);

    // Derive coefficients for m2 expression.
    // cM2 * x+ + cM3 * x- + cM4 * x+ * x- = m^2 - cM1;
    double cM1 = pTemp.m2Calc();
    double cM2 = 2. * (pTemp * region.pPos);
    double cM3 = 2. * (pTemp * region.pNeg);
    double cM4 = region.w2;
    if (!fromPos) swap( cM2, cM3);

    // Derive coefficients for Gamma expression.
    // cGam2 * x+ + cGam3 * x- + cGam4 * x+ * x- = Gamma_new - cGam1;
    double cGam1 = 0.;
    double cGam2 = 0.;
    double cGam3 = 0.;
    double cGam4 = 0.;
    for (int iInv = iInvNew; iInv <= iMax - iDirNew; ++iInv) {
      double xInv = 1.;
      if (iInv == iInvNew) xInv = (iInvNew == iInvOld) ? xInvOld : 0.;
      for (int iDir = iDirNew; iDir <= iMax - iInv; ++iDir) {
        double xDir = (iDir == iDirOld) ? xDirOld : 1.;
        int iPos = (fromPos) ? iDir : iInv;
        int iNeg = (fromPos) ? iInv : iDir;
        StringRegion& regionGam =  system.region( iPos, iNeg);
        if (!regionGam.isSetUp) regionGam.setUp(
          system.regionLowPos(iPos).pPos,
          system.regionLowNeg(iNeg).pNeg, true);
        double w2 = regionGam.w2;
        cGam1 += xDir * xInv * w2;
        if (iDir == iDirNew) cGam2 -= xInv * w2;
        if (iInv == iInvNew) cGam3 += xDir * w2;
        if (iDir == iDirNew && iInv == iInvNew) cGam4 -= w2;
      }
    }

    // Solve (m2, Gamma) equation system => r2 * x-^2 + r1 * x- + r0 = 0.
    double cM0   = pow2(mHad) - cM1;
    double cGam0 = GammaNew - cGam1;
    double r2    = cM3 * cGam4 - cM4 * cGam3;
    double r1    = cM4 * cGam0 - cM0 * cGam4 + cM3 * cGam2 - cM2 * cGam3;
    double r0    = cM2 * cGam0 - cM0 * cGam2;
    double root  = sqrtpos( r1*r1 - 4. * r2 * r0 );
    if (abs(r2) < TINY || root < TINY) return Vec4(0., 0., 0., -1.);
    xInvHad      = 0.5 * (root / abs(r2) - r1 / r2);
    xDirHad      = (cM0 - cM3 * xInvHad) / (cM2 + cM4 * xInvHad);

    // Define position of new trial vertex.
    xDirNew = (iDirNew == iDirOld) ? xDirOld - xDirHad : 1. - xDirHad;
    xInvNew = (iInvNew == iInvOld) ? xInvOld + xInvHad : xInvHad;
  
    // Step up to new region if new x- > 1.
    if (xInvNew > 1.) {
      xInvHad = (iInvNew == iInvOld) ? 1. - xInvOld : 1.;
      xDirHad = 0.;
      pSoFar += region.pHad( xPosHad, xNegHad, 0., 0.);
      --iInvNew;
      if (iInvNew < 0) return Vec4(0., 0., 0., -1.);
      continue;

    // Step down to new region if new x+ < 0.
    } else if (xDirNew < 0.) {
      xDirHad = (iDirNew == iDirOld) ? xDirOld : 1.;
      xInvHad = 0.;
      pSoFar += region.pHad( xPosHad, xNegHad, 0., 0.);
      ++iDirNew;
      if (iDirNew + iInvNew > iMax) return Vec4(0., 0., 0., -1.);
      continue;
    }

    // Else we have found the correct region, and can return four-momentum.
    return pSoFar + region.pHad( xPosHad, xNegHad, pxNew, pyNew);

  // End of "infinite" loop of stepping to new region.
  }

}

//--------------------------------------------------------------------------

// Update string end information after a hadron has been removed.

void StringEnd::update() {

  flavOld.anti(flavNew);
  iPosOld  = iPosNew;
  iNegOld  = iNegNew;
  pxOld    = -pxNew;
  pyOld    = -pyNew;
  GammaOld = GammaNew;
  xPosOld  = xPosNew;
  xNegOld  = xNegNew;

}
  
//==========================================================================

// The StringFragmentation class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maximum number of tries to (flavour-, energy) join the two string ends.
const int    StringFragmentation::NTRYFLAV      = 10;
const int    StringFragmentation::NTRYJOIN      = 30;

// The last few times gradually increase the stop mass to make it easier.
const int    StringFragmentation::NSTOPMASS     = 15;
const double StringFragmentation::FACSTOPMASS   = 1.05;

// For closed string, pick a Gamma by taking a step with fictitious mass.
const double StringFragmentation::CLOSEDM2MAX   = 25.;
const double StringFragmentation::CLOSEDM2FRAC  = 0.1;

// Do not allow too large argument to exp function.
const double StringFragmentation::EXPMAX        = 50.;

// Matching criterion that p+ and p- not the same (can happen in gg loop).
const double StringFragmentation::MATCHPOSNEG   = 1e-6;

// For pull on junction, do not trace too far down each leg.
const double StringFragmentation::EJNWEIGHTMAX  = 10.;

// Iterate junction rest frame boost until convergence or too many tries.
const double StringFragmentation::CONVJNREST   = 1e-5;
const int    StringFragmentation::NTRYJNREST   = 20;

// Fail and try again when two legs combined to diquark (3 loops).
const int    StringFragmentation::NTRYJNMATCH   = 20;
const double StringFragmentation::EEXTRAJNMATCH = 0.5;
const double StringFragmentation::MDIQUARKMIN   = -2.0;

// Consider junction-leg parton as massless if m2 tiny.
const double StringFragmentation::M2MAXJRF      = 1e-4;

// Iterate junction rest frame equation until convergence or too many tries.
const double StringFragmentation::CONVJRFEQ     = 1e-12;
const int    StringFragmentation::NTRYJRFEQ     = 40;

//--------------------------------------------------------------------------

// Initialize and save pointers.

void StringFragmentation::init(Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn, StringFlav* flavSelPtrIn,
  StringPT* pTSelPtrIn, StringZ* zSelPtrIn) {

  // Save pointers.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  flavSelPtr      = flavSelPtrIn;
  pTSelPtr        = pTSelPtrIn;
  zSelPtr         = zSelPtrIn;

  // Initialize the StringFragmentation class.
  stopMass        = zSelPtr->stopMass();
  stopNewFlav     = zSelPtr->stopNewFlav();
  stopSmear       = zSelPtr->stopSmear();
  eNormJunction   = settings.parm("StringFragmentation:eNormJunction");
  eBothLeftJunction
     = settings.parm("StringFragmentation:eBothLeftJunction");
  eMaxLeftJunction
    = settings.parm("StringFragmentation:eMaxLeftJunction");
  eMinLeftJunction
    = settings.parm("StringFragmentation:eMinLeftJunction");

  // Joining of nearby partons along the string.
  mJoin           = settings.parm("FragmentationSystems:mJoin");

  // Initialize the b parameter of the z spectrum, used when joining jets.
  bLund           = zSelPtr->bAreaLund();

  // Initialize the hadrons instance of an event record.
  hadrons.init( "(string fragmentation)", particleDataPtr);

  // Send on pointers to the two StringEnd instances.
  posEnd.init( particleDataPtr, flavSelPtr, pTSelPtr, zSelPtr);
  negEnd.init( particleDataPtr, flavSelPtr, pTSelPtr, zSelPtr);

}

//--------------------------------------------------------------------------

// Perform the fragmentation.

bool StringFragmentation::fragment( int iSub, ColConfig& colConfig,
  Event& event) {

  // Find partons and their total four-momentum.
  iParton            = colConfig[iSub].iParton;
  iPos               = iParton[0];
  if (iPos < 0) iPos = iParton[1];
  int idPos          = event[iPos].id();
  iNeg               = iParton.back();
  int idNeg          = event[iNeg].id();
  pSum               = colConfig[iSub].pSum;

  // Reset the local event record.
  hadrons.clear();
 
  // For closed gluon string: pick first breakup region.
  isClosed = colConfig[iSub].isClosed;
  if (isClosed) iParton = findFirstRegion(iParton, event);

  // For junction topology: fragment off two of the string legs.
  // Then iParton overwritten to remaining leg + leftover diquark.
  pJunctionHadrons = 0.;
  hasJunction = colConfig[iSub].hasJunction;
  if (hasJunction && !fragmentToJunction(event)) return false;
  int junctionHadrons = hadrons.size();
  if (hasJunction) {
    idPos  = event[ iParton[0] ].id();
    idNeg  = event.back().id();
    pSum  -= pJunctionHadrons;
  }

  // Set up kinematics of string evolution ( = motion).
  system.setUp(iParton, event);
  stopMassNow = stopMass;
  int nExtraJoin = 0;

  // Fallback loop, when joining in the middle fails.  Bailout if stuck.
  for ( int iTry = 0; ; ++iTry) {
    if (iTry > NTRYJOIN) {
      infoPtr->errorMsg("Error in StringFragmentation::fragment: "
        "stuck in joining");
      if (hasJunction) ++nExtraJoin;
      if (nExtraJoin > 0) event.popBack(nExtraJoin);
      return false;
    }
 
    // After several failed tries join some (extra) nearby partons.
    if (iTry == NTRYJOIN / 3) nExtraJoin = extraJoin( 2., event);
    if (iTry == 2 * NTRYJOIN / 3) nExtraJoin += extraJoin( 4., event);

    // After several failed tries gradually allow larger stop mass.
    if (iTry > NTRYJOIN - NSTOPMASS) stopMassNow *= FACSTOPMASS;

    // Set up flavours of two string ends, and reset other info.
    setStartEnds(idPos, idNeg, system);
    pRem = pSum;

    // Begin fragmentation loop, interleaved from the two ends.
    bool fromPos;
    for ( ; ; ) {

      // Take a step either from the positive or the negative end.
      fromPos           = (rndmPtr->flat() < 0.5);
      StringEnd& nowEnd = (fromPos) ? posEnd : negEnd;
     
      // Construct trial hadron and check that energy remains.
      nowEnd.newHadron();
      if ( energyUsedUp(fromPos) ) break;

      // Construct kinematics of the new hadron and store it.
      Vec4 pHad = nowEnd.kinematicsHadron(system);
      int statusHad = (fromPos) ? 83 : 84;
      hadrons.append( nowEnd.idHad, statusHad, iPos, iNeg,
        0, 0, 0, 0, pHad, nowEnd.mHad);
      if (pHad.e() < 0.) break;

      // Update string end and remaining momentum.
      nowEnd.update();
      pRem -= pHad;

    // End of fragmentation loop.
    }
   
    // When done, join in the middle. If this works, then really done.
    if ( finalTwo(fromPos) ) break;

    // Else remove produced particles (except from first two junction legs)
    // and start all over.
    int newHadrons = hadrons.size() - junctionHadrons;
    hadrons.popBack(newHadrons);
  }

  // Junctions & extra joins: remove fictitious end, restore original partons.
  if (hasJunction) ++nExtraJoin;
  if (nExtraJoin > 0) {
    event.popBack(nExtraJoin);
    iParton = colConfig[iSub].iParton;
  }

  // Store the hadrons in the normal event record, ordered from one end.
  store(event);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Find region where to put first string break for closed gluon loop.
  
vector StringFragmentation::findFirstRegion(vector& iPartonIn,
  Event& event) {

  // Evaluate mass-squared for all adjacent gluon pairs.
  vector m2Pair;
  double m2Sum = 0.;
  int size = iPartonIn.size();
  for (int i = 0; i < size; ++i) {
    double m2Now = 0.5 * event[ iPartonIn[i] ].p()
      * event[ iPartonIn[(i + 1)%size] ].p();
    m2Pair.push_back(m2Now);
    m2Sum += m2Now;
  }
   
  // Pick breakup region with probability proportional to mass-squared.
  double m2Reg = m2Sum * rndmPtr->flat();
  int iReg = -1;
  do m2Reg -= m2Pair[++iReg];
  while (m2Reg > 0. && iReg < size - 1);

  // Create reordered parton list, with breakup string region duplicated.
  vector iPartonOut;
  for (int i = 0; i < size + 2; ++i)
    iPartonOut.push_back( iPartonIn[(i + iReg)%size] );

  // Done.
  return iPartonOut;
 
}

//--------------------------------------------------------------------------

// Set flavours and momentum position for initial string endpoints.

void StringFragmentation::setStartEnds( int idPos, int idNeg,
  StringSystem systemNow) {

  // Variables characterizing string endpoints: defaults for open string.
  double px          = 0.;
  double py          = 0.;
  double Gamma       = 0.;
  double xPosFromPos = 1.;
  double xNegFromPos = 0.;
  double xPosFromNeg = 0.;
  double xNegFromNeg = 1.;

  // For closed gluon loop need to pick an initial flavour.
  if (isClosed) {
    do {
      int idTry = flavSelPtr->pickLightQ();
      FlavContainer flavTry(idTry, 1);
      flavTry = flavSelPtr->pick( flavTry);
      flavTry = flavSelPtr->pick( flavTry);
      idPos   = flavTry.id;
      idNeg   = -idPos;
    } while (idPos == 0);

    // Also need pT and breakup vertex position in region.
   pair pxy = pTSelPtr->pxy();
   px = pxy.first;
   py = pxy.second;
    double m2Region = systemNow.regionLowPos(0).w2;
    double m2Temp   = min( CLOSEDM2MAX, CLOSEDM2FRAC * m2Region);
    do {
      double zTemp = zSelPtr->zFrag( idPos, idNeg, m2Temp);
      xPosFromPos  = 1. - zTemp;
      xNegFromPos  = m2Temp / (zTemp * m2Region);
    } while (xNegFromPos > 1.);
    Gamma = xPosFromPos * xNegFromPos * m2Region;
    xPosFromNeg = xPosFromPos;
    xNegFromNeg = xNegFromPos;
  }

  // Initialize two string endpoints.
  posEnd.setUp(  true, iPos, idPos, systemNow.iMax,  px,  py,
    Gamma, xPosFromPos, xNegFromPos);
  negEnd.setUp( false, iNeg, idNeg, systemNow.iMax, -px, -py,
    Gamma, xPosFromNeg, xNegFromNeg);

  // For closed gluon loop can allow popcorn on one side but not both.
  if (isClosed) {
    flavSelPtr->assignPopQ(posEnd.flavOld);
    flavSelPtr->assignPopQ(negEnd.flavOld);
    if (rndmPtr->flat() < 0.5) posEnd.flavOld.nPop = 0;
    else                    negEnd.flavOld.nPop = 0;
    posEnd.flavOld.rank = 1;
    negEnd.flavOld.rank = 1;
  }

  // Done.

}

//--------------------------------------------------------------------------

// Check remaining energy-momentum whether it is OK to continue.

bool StringFragmentation::energyUsedUp(bool fromPos) {

  // If remaining negative energy then abort right away.
  if (pRem.e() < 0.) return true;

  // Calculate W2_minimum and done if remaining W2 is below it.
  double wMin = stopMassNow
    + particleDataPtr->constituentMass(posEnd.flavOld.id)
    + particleDataPtr->constituentMass(negEnd.flavOld.id);
  if (fromPos) wMin += stopNewFlav
    * particleDataPtr->constituentMass(posEnd.flavNew.id);
  else         wMin += stopNewFlav
    * particleDataPtr->constituentMass(negEnd.flavNew.id);
  wMin *= 1. + (2. * rndmPtr->flat() - 1.) * stopSmear;
  w2Rem = pRem.m2Calc();
  if (w2Rem < pow2(wMin)) return true;

  // Else still enough energy left to continue iteration.
  return false;

}

//--------------------------------------------------------------------------

// Produce the final two partons to complete the system.

bool StringFragmentation::finalTwo(bool fromPos) {
  
  // Check whether we went too far in p+-.
  if (pRem.e() < 0.  || w2Rem < 0. || (hadrons.size() > 0
    && hadrons.back().e() < 0.) ) return false;
  if ( posEnd.iPosOld > negEnd.iPosOld || negEnd.iNegOld > posEnd.iNegOld)
    return false;
  if ( posEnd.iPosOld == negEnd.iPosOld && posEnd.xPosOld < negEnd.xPosOld)
    return false;
  if ( posEnd.iNegOld == negEnd.iNegOld && posEnd.xNegOld > negEnd.xNegOld)
    return false;

  // Construct the final hadron from the leftover flavours.
  // Impossible to join two diquarks. Also break if stuck for other reason.
  FlavContainer flav1 = (fromPos) ? posEnd.flavNew.anti() : posEnd.flavOld;
  FlavContainer flav2 = (fromPos) ? negEnd.flavOld : negEnd.flavNew.anti();
  if (flav1.isDiquark() && flav2.isDiquark()) return false;
  int idHad;
  for (int iTry = 0; iTry < NTRYFLAV; ++iTry) {
    idHad = flavSelPtr->combine( flav1, flav2);
    if (idHad != 0) break;
  }
  if (idHad == 0) return false;

  // Store the final particle and its new pT, and construct its mass.
  if (fromPos) {
    negEnd.idHad = idHad;
    negEnd.pxNew = -posEnd.pxNew;
    negEnd.pyNew = -posEnd.pyNew;
    negEnd.mHad  = particleDataPtr->mSel(idHad);
  } else {
    posEnd.idHad = idHad;
    posEnd.pxNew = -negEnd.pxNew;
    posEnd.pyNew = -negEnd.pyNew;
    posEnd.mHad  = particleDataPtr->mSel(idHad);
  }

  // String region in which to do the joining.
  StringRegion region = finalRegion();
  if (region.isEmpty) return false;

  // Project remaining momentum along longitudinal and transverse directions.
  region.project( pRem);
  double pxRem   = region.px() - posEnd.pxOld - negEnd.pxOld;
  double pyRem   = region.py() - posEnd.pyOld - negEnd.pyOld;
  double xPosRem = region.xPos();
  double xNegRem = region.xNeg();

  // Share extra pT kick evenly between final two hadrons.
  posEnd.pxOld += 0.5 * pxRem;
  posEnd.pyOld += 0.5 * pyRem;
  negEnd.pxOld += 0.5 * pxRem;
  negEnd.pyOld += 0.5 * pyRem;

  // Construct new pT and mT of the final two particles.
  posEnd.pxHad  = posEnd.pxOld + posEnd.pxNew;
  posEnd.pyHad  = posEnd.pyOld + posEnd.pyNew;
  posEnd.mT2Had = pow2(posEnd.mHad) + pow2(posEnd.pxHad)
    + pow2(posEnd.pyHad);
  negEnd.pxHad  = negEnd.pxOld + negEnd.pxNew;
  negEnd.pyHad  = negEnd.pyOld + negEnd.pyNew;
  negEnd.mT2Had = pow2(negEnd.mHad) + pow2(negEnd.pxHad)
    + pow2(negEnd.pyHad);

  // Construct remaining system transverse mass.
  double wT2Rem = w2Rem + pow2( posEnd.pxHad + negEnd.pxHad)
    + pow2( posEnd.pyHad + negEnd.pyHad);

  // Check that kinematics possible.
  if ( sqrt(wT2Rem) < sqrt(posEnd.mT2Had) + sqrt(negEnd.mT2Had) )
    return false;
  double lambda2 = pow2( wT2Rem - posEnd.mT2Had - negEnd.mT2Had)
    - 4. * posEnd.mT2Had * negEnd.mT2Had;
  if (lambda2 <= 0.) return false;

  // Construct kinematics, as viewed in the transverse rest frame.
  double lambda = sqrt(lambda2);
  double probReverse = 1. / (1. + exp( min( EXPMAX, bLund * lambda) ) );
  double xpzPos = 0.5 * lambda/ wT2Rem;
  if (probReverse > rndmPtr->flat()) xpzPos = -xpzPos;
  double xmDiff = (posEnd.mT2Had - negEnd.mT2Had) / wT2Rem;
  double xePos  = 0.5 * (1. + xmDiff);
  double xeNeg  = 0.5 * (1. - xmDiff );

  // Translate this into kinematics in the string frame.
  Vec4 pHadPos = region.pHad( (xePos + xpzPos) *  xPosRem,
    (xePos - xpzPos) *  xNegRem, posEnd.pxHad, posEnd.pyHad);
  Vec4 pHadNeg = region.pHad( (xeNeg - xpzPos) *  xPosRem,
    (xeNeg + xpzPos) *  xNegRem, negEnd.pxHad, negEnd.pyHad);

  // Add produced particles to the event record.
  hadrons.append( posEnd.idHad, 83, posEnd.iEnd, negEnd.iEnd,
    0, 0, 0, 0, pHadPos, posEnd.mHad);
  hadrons.append( negEnd.idHad, 84, posEnd.iEnd, negEnd.iEnd,
    0, 0, 0, 0, pHadNeg, negEnd.mHad);

  // It worked.
  return true;
  
}

//--------------------------------------------------------------------------

//  Construct a special joining region for the final two hadrons.

StringRegion StringFragmentation::finalRegion() {

  // Simple case when both string ends are in the same region.
  if (posEnd.iPosOld == negEnd.iPosOld && posEnd.iNegOld == negEnd.iNegOld)
    return system.region( posEnd.iPosOld, posEnd.iNegOld);

  // Start out with empty region. (Empty used for error returns.)
  StringRegion region;
   
  // Add up all remaining p+.
  Vec4 pPosJoin;
  if ( posEnd.iPosOld == negEnd.iPosOld) {
    double xPosJoin = posEnd.xPosOld - negEnd.xPosOld;
    if (xPosJoin < 0.) return region;
    pPosJoin = system.regionLowPos(posEnd.iPosOld).pHad( xPosJoin, 0., 0., 0.);
  } else {
    for (int iPosNow = posEnd.iPosOld; iPosNow <= negEnd.iPosOld; ++iPosNow) {
      if (iPosNow == posEnd.iPosOld) pPosJoin
        += system.regionLowPos(iPosNow).pHad( posEnd.xPosOld, 0., 0., 0.);
      else if (iPosNow == negEnd.iPosOld) pPosJoin
        += system.regionLowPos(iPosNow).pHad( 1. - negEnd.xPosOld, 0., 0., 0.);
      else pPosJoin += system.regionLowPos(iPosNow).pHad( 1., 0., 0., 0.);
    }
  }
    
  // Add up all remaining p-.
  Vec4 pNegJoin;
  if ( negEnd.iNegOld == posEnd.iNegOld) {
    double xNegJoin = negEnd.xNegOld - posEnd.xNegOld;
    if (xNegJoin < 0.) return region;
    pNegJoin = system.regionLowNeg(negEnd.iNegOld).pHad( 0., xNegJoin, 0., 0.);
  } else {
    for (int iNegNow = negEnd.iNegOld; iNegNow <= posEnd.iNegOld; ++iNegNow) {
      if (iNegNow == negEnd.iNegOld) pNegJoin
        += system.regionLowNeg(iNegNow).pHad( 0., negEnd.xNegOld, 0., 0.);
      else if (iNegNow == posEnd.iNegOld) pNegJoin
        += system.regionLowNeg(iNegNow).pHad( 0., 1. - posEnd.xNegOld, 0., 0.);
      else pNegJoin += system.regionLowNeg(iNegNow).pHad( 0., 1., 0., 0.);
    }
  }

  // For a closed gluon loop pPosJoin == pNegJoin and the above does not work.
  // So reshuffle; "perfect" for g g systems, OK in general.
  Vec4 pTest = pPosJoin - pNegJoin;
  if ( abs(pTest.px()) + abs(pTest.py()) + abs(pTest.pz()) + abs(pTest.e())
    < MATCHPOSNEG * (pPosJoin.e() + pNegJoin.e()) ) {
    Vec4 delta
      = system.regionLowPos(posEnd.iPosOld + 1).pHad( 1., 0., 0., 0.)
      - system.regionLowNeg(negEnd.iNegOld + 1).pHad( 0., 1., 0., 0.);
    pPosJoin -= delta;
    pNegJoin += delta;
  }

  // Construct a new region from remaining p+ and p-.
  region.setUp( pPosJoin, pNegJoin);
  if (region.isEmpty) return region;

  // Project the existing pTold vectors onto the new directions.
  Vec4 pTposOld = system.region( posEnd.iPosOld, posEnd.iNegOld).pHad(
    0., 0.,  posEnd.pxOld, posEnd.pyOld);
  region.project( pTposOld);
  posEnd.pxOld = region.px();
  posEnd.pyOld = region.py();
  Vec4 pTnegOld = system.region( negEnd.iPosOld, negEnd.iNegOld).pHad(
      0., 0.,  negEnd.pxOld, negEnd.pyOld);
  region.project( pTnegOld);
  negEnd.pxOld = region.px();
  negEnd.pyOld = region.py();

  // Done.
  return region;

}

//--------------------------------------------------------------------------

// Store the hadrons in the normal event record, ordered from one end.

void StringFragmentation::store(Event& event) {

  // Starting position.
  int iFirst = event.size();

  // Copy straight over from first two junction legs.
  if (hasJunction) {
    for (int i = 0; i < hadrons.size(); ++i)
    if (hadrons[i].status() == 85 || hadrons[i].status() == 86)
      event.append( hadrons[i] );
  }
 
  // Loop downwards, copying all from the positive end.
  for (int i = 0; i < hadrons.size(); ++i)
    if (hadrons[i].status() == 83) event.append( hadrons[i] );

  // Loop upwards, copying all from the negative end.
  for (int i = hadrons.size() - 1; i >= 0 ; --i)
    if (hadrons[i].status() == 84) event.append( hadrons[i] );
  int iLast = event.size() - 1;

  // Set decay vertex when this is displaced.
  if (event[posEnd.iEnd].hasVertex()) {
    Vec4 vDec = event[posEnd.iEnd].vDec();
    for (int i = iFirst; i <= iLast; ++i) event[i].vProd( vDec );
  }

  // Set lifetime of hadrons.
  for (int i = iFirst; i <= iLast; ++i)
    event[i].tau( event[i].tau0() * rndmPtr->exp() );

  // Mark original partons as hadronized and set their daughter range.
  for (int i = 0; i < int(iParton.size()); ++i)
  if (iParton[i] >= 0) {
    event[ iParton[i] ].statusNeg();
    event[ iParton[i] ].daughters(iFirst, iLast);
  }

}

//--------------------------------------------------------------------------

// Fragment off two of the string legs in to a junction.

bool StringFragmentation::fragmentToJunction(Event& event) {

  // Identify range of partons on the three legs.
  // (Each leg begins with an iParton[i] = -(10 + 10*junctionNumber + leg),
  // and partons then appear ordered from the junction outwards.)
  int legBeg[3] = { 0, 0, 0};
  int legEnd[3] = { 0, 0, 0};
  int leg = -1;
  // PS (4/10/2011) Protect against invalid systems
  if (iParton[0] > 0) {
    infoPtr->errorMsg("Error in StringFragmentation::fragment"
                      "ToJunction: iParton[0] not a valid junctionNumber");
    return false;
  }
  for (int i = 0; i < int(iParton.size()); ++i) {
    if (iParton[i] < 0) {
      if (leg == 2) {
        infoPtr->errorMsg("Error in StringFragmentation::fragment"
                          "ToJunction: unprocessed multi-junction system");
        return false;
      }
      legBeg[++leg] = i + 1;
    }
    else legEnd[leg] = i;
  }

  // Iterate from system rest frame towards the junction rest frame (JRF).
  RotBstMatrix MtoJRF, Mstep;
  MtoJRF.bstback(pSum);
  Vec4 pWTinJRF[3];
  int iter = 0;
  double errInCM = 0.;
  do {
    ++iter;
  
    // Find weighted sum of momenta on the three sides of the junction.
    for (leg = 0; leg < 3; ++ leg) {
      pWTinJRF[leg] = 0.;
      double eWeight = 0.;
      for (int i = legBeg[leg]; i <= legEnd[leg]; ++i) {
        Vec4 pTemp = event[ iParton[i] ].p();
        pTemp.rotbst(MtoJRF);
        pWTinJRF[leg] += pTemp * exp(-eWeight);
        eWeight += pTemp.e() / eNormJunction;
        if (eWeight > EJNWEIGHTMAX) break;
      }
    }

    // Store original deviation from 120 degree topology.
    if (iter == 1) errInCM = pow2(costheta(pWTinJRF[0], pWTinJRF[1]) + 0.5)
      + pow2(costheta(pWTinJRF[0], pWTinJRF[2]) + 0.5)
      + pow2(costheta(pWTinJRF[1], pWTinJRF[2]) + 0.5);
   
    // Find new JRF from the set of weighted momenta.
    Mstep = junctionRestFrame( pWTinJRF[0], pWTinJRF[1], pWTinJRF[2]);
    // Fortran code will not take full step after the first few
    // iterations. How implement this in terms of an M matrix??
    MtoJRF.rotbst( Mstep );
  } while (iter < 3 || (Mstep.deviation() > CONVJNREST && iter < NTRYJNREST) );

  // If final deviation from 120 degrees is bigger than in CM then revert.
  double errInJRF = pow2(costheta(pWTinJRF[0], pWTinJRF[1]) + 0.5)
    + pow2(costheta(pWTinJRF[0], pWTinJRF[2]) + 0.5)
    + pow2(costheta(pWTinJRF[1], pWTinJRF[2]) + 0.5);
  if (errInJRF > errInCM + CONVJNREST) {
    infoPtr->errorMsg("Warning in StringFragmentation::fragmentTo"
      "Junction: bad convergence junction rest frame");
    MtoJRF.reset();
    MtoJRF.bstback(pSum);
  }

  // Opposite operation: boost from JRF to original system.
  RotBstMatrix MfromJRF = MtoJRF;
  MfromJRF.invert();

  // Sum leg four-momenta in original frame and in JRF.
  Vec4 pInLeg[3], pInJRF[3];
  for (leg = 0; leg < 3; ++leg) {
    pInLeg[leg] = 0.;
    for (int i = legBeg[leg]; i <= legEnd[leg]; ++i)
      pInLeg[leg] += event[ iParton[i] ].p();
    pInJRF[leg] = pInLeg[leg];
    pInJRF[leg].rotbst(MtoJRF);
  }

  // Pick the two legs with lowest energy in JRF.
  int legMin = (pInJRF[0].e() < pInJRF[1].e()) ? 0 : 1;
  int legMax = 1 - legMin;
  if (pInJRF[2].e() < min(pInJRF[0].e(), pInJRF[1].e()) ) legMin = 2;
  else if (pInJRF[2].e() > max(pInJRF[0].e(), pInJRF[1].e()) ) legMax = 2;
  int legMid = 3 - legMin - legMax;

  // Save info on which status codes belong with the three legs.
  int iJunction = (-iParton[0]) / 10 - 1;
  event.statusJunction( iJunction, legMin, 85);
  event.statusJunction( iJunction, legMid, 86);
  event.statusJunction( iJunction, legMax, 83);

  // Temporarily copy the partons on the low-energy legs, into the JRF,
  // in reverse order, so (anti)quark leg end first.
  vector iPartonMin;
  for (int i = legEnd[legMin]; i >= legBeg[legMin]; --i) {
    int iNew = event.append( event[ iParton[i] ] );
    event[iNew].rotbst(MtoJRF);
    iPartonMin.push_back( iNew );
  }
  vector iPartonMid;
  for (int i = legEnd[legMid]; i >= legBeg[legMid]; --i) {
    int iNew = event.append( event[ iParton[i] ] );
    event[iNew].rotbst(MtoJRF);
    iPartonMid.push_back( iNew );
  }

  // Find final weighted sum of momenta on each of the two legs.
  double eWeight = 0.;
  pWTinJRF[legMin] = 0.;
  for (int i = iPartonMin.size() - 1; i >= 0; --i) {
    pWTinJRF[legMin] += event[ iPartonMin[i] ].p() * exp(-eWeight);
    eWeight += event[ iPartonMin[i] ].e() / eNormJunction;
    if (eWeight > EJNWEIGHTMAX) break;
  }
  eWeight = 0.;
  pWTinJRF[legMid] = 0.;
  for (int i = iPartonMid.size() - 1; i >= 0; --i) {
    pWTinJRF[legMid] += event[ iPartonMid[i] ].p() * exp(-eWeight);
    eWeight += event[ iPartonMid[i] ].e() / eNormJunction;
    if (eWeight > EJNWEIGHTMAX) break;
  }
    
  // Define fictitious opposing partons in JRF and store as string ends.
  Vec4 pOppose = pWTinJRF[legMin];
  pOppose.flip3();
  int idOppose = (rndmPtr->flat() > 0.5) ? 2 : 1;
  if (event[ iPartonMin[0] ].col() > 0) idOppose = -idOppose;
  int iOppose = event.append( idOppose, 77, 0, 0, 0, 0, 0, 0,
    pOppose, 0.);
  iPartonMin.push_back( iOppose);
  pOppose = pWTinJRF[legMid];
  pOppose.flip3();
  idOppose = (rndmPtr->flat() > 0.5) ? 2 : 1;
  if (event[ iPartonMid[0] ].col() > 0) idOppose = -idOppose;
  iOppose = event.append( idOppose, 77, 0, 0, 0, 0, 0, 0,
    pOppose, 0.);
  iPartonMid.push_back( iOppose);

  // Set up kinematics of string evolution in low-energy temporary systems.
  systemMin.setUp(iPartonMin, event);
  systemMid.setUp(iPartonMid, event);

  // Outer fallback loop, when too little energy left for third leg.
  int idMin = 0;
  int idMid = 0;
  Vec4 pDiquark;
  for ( int iTryOuter = 0; ; ++iTryOuter) {
  
    // Middle fallback loop, when much unused energy in leg remnants.
    double eLeftMin = 0.;
    double eLeftMid = 0.;
    for ( int iTryMiddle = 0; ; ++iTryMiddle) {
    
      // Loop over the two lowest-energy legs.
      for (int legLoop = 0; legLoop < 2; ++ legLoop) {
        int legNow = (legLoop == 0) ? legMin : legMid;

        // Read in properties specific to this leg.
        StringSystem& systemNow = (legLoop == 0) ? systemMin : systemMid;
        int idPos = (legLoop == 0) ? event[ iPartonMin[0] ].id()
          : event[ iPartonMid[0] ].id();
        idOppose = (legLoop == 0) ? event[ iPartonMin.back() ].id()
          : event[ iPartonMid.back() ].id();
        double eInJRF = pInJRF[legNow].e();
        int statusHad = (legLoop == 0) ? 85 : 86;
 
        // Inner fallback loop, when a diquark comes in to junction.
        double eUsed = 0.;
        for ( int iTryInner = 0; ; ++iTryInner) {
          if (iTryInner > 2 * NTRYJNMATCH) {
            infoPtr->errorMsg("Error in StringFragmentation::fragment"
              "ToJunction: caught in junction flavour loop");
            event.popBack( iPartonMin.size() + iPartonMid.size() );
            return false;
          }
          bool needBaryon = (abs(idPos) > 10 && iTryInner > NTRYJNMATCH);
          double eExtra   = (iTryInner > NTRYJNMATCH) ? EEXTRAJNMATCH : 0.;
 
          // Set up two string ends, and begin fragmentation loop.
          setStartEnds(idPos, idOppose, systemNow);
          eUsed = 0.;
          int nHadrons = 0;
          bool noNegE = true;
          for ( ; ; ++nHadrons) {
     
            // Construct trial hadron from positive end.
            posEnd.newHadron();
            Vec4 pHad = posEnd.kinematicsHadron(systemNow);

            // Negative energy signals failure in construction.
            if (pHad.e() < 0. ) { noNegE = false; break; }
  
            // Break if passed system midpoint ( = junction) in energy.
            // Exceptions: small systems, and/or with diquark end.
            bool delayedBreak = false;
            if (eUsed + pHad.e() + eExtra > eInJRF) {
              if (nHadrons > 0 || !needBaryon) break;
              delayedBreak = true;
            }

            // Else construct kinematics of the new hadron and store it.
            hadrons.append( posEnd.idHad, statusHad, iPos, iNeg,
              0, 0, 0, 0, pHad, posEnd.mHad);

            // Update string end and remaining momentum.
            posEnd.update();
            eUsed += pHad.e();

            // Delayed break in small systems, and/or with diquark end.
            if (delayedBreak) {
              ++nHadrons;
              break;
            }
          }

          // Possible to produce zero hadrons if the end point is not a diquark.
          if (iTryInner > NTRYJNMATCH && !noNegE && nHadrons == 0 && 
            abs(idPos) < 10) break;

          // End of fragmentation loop. Inner loopback if ends on a diquark.
          if ( noNegE && abs(posEnd.flavOld.id) < 10 ) break;
          hadrons.popBack(nHadrons);
        }

        // End of one-leg fragmentation. Store end quark and remnant energy.
        if (legNow == legMin) {
          idMin = posEnd.flavOld.id;
          eLeftMin = eInJRF - eUsed;
        } else {
          idMid = posEnd.flavOld.id;
          eLeftMid = eInJRF - eUsed;
        }
      }

      // End of both-leg fragmentation.
      // Middle loopback if too much energy left.
      double eTrial = eBothLeftJunction + rndmPtr->flat() * eMaxLeftJunction;
      if (iTryMiddle > NTRYJNMATCH
        || ( min( eLeftMin, eLeftMid) < eBothLeftJunction
        && max( eLeftMin, eLeftMid) < eTrial ) ) break;
      hadrons.clear();
    }

    // Boost hadrons away from the JRF to the original frame.
    for (int i = 0; i < hadrons.size(); ++i) {
      hadrons[i].rotbst(MfromJRF);
      // Recalculate energy to compensate for numerical precision loss
      // in iterative calculation of MfromJRF.
      hadrons[i].e( hadrons[i].eCalc() );
      pJunctionHadrons += hadrons[i].p();
    }

    // Outer loopback if combined diquark mass too negative
    // or too little energy left in third leg.
    pDiquark = pInLeg[legMin] + pInLeg[legMid] - pJunctionHadrons;
    double m2Left = m2( pInLeg[legMax], pDiquark);
    if (iTryOuter >  NTRYJNMATCH || (pDiquark.mCalc() > MDIQUARKMIN
      && m2Left > eMinLeftJunction * pInLeg[legMax].e()) ) break;
    hadrons.clear();
    pJunctionHadrons = 0.;
  }

  // Now found solution; no more loopback. Remove temporary parton copies.
  event.popBack( iPartonMin.size() + iPartonMid.size() );
  
  // Construct and store an effective diquark string end from the
  // two remnant quark ends, for temporary usage.
  int    idDiquark = flavSelPtr->makeDiquark( idMin, idMid);
  double mDiquark  = pDiquark.mCalc();
  int    iDiquark  = event.append( idDiquark, 78, 0, 0, 0, 0, 0, 0,
    pDiquark, mDiquark);

  // Find the partons on the last leg, again in reverse order.
  vector iPartonMax;
  for (int i = legEnd[legMax]; i >= legBeg[legMax]; --i)
    iPartonMax.push_back( iParton[i] );
  iPartonMax.push_back( iDiquark );

  // Recluster gluons nearby to diquark end when taken too much energy.
  int iPsize       = iPartonMax.size();
  double m0Diquark = event[iDiquark].m0();
  while (iPsize > 2) {
    Vec4 pGluNear = event[ iPartonMax[iPsize - 2] ].p();
    if ( (pDiquark + 0.5 * pGluNear).mCalc() > m0Diquark + mJoin ) break;
    pDiquark += pGluNear;
    event[iDiquark].p( pDiquark );
    event[iDiquark].m( pDiquark.mCalc() );
    iPartonMax.pop_back();
    --iPsize;
    iPartonMax[iPsize - 1] = iDiquark;
  }

  // Modify parton list to remaining leg + remnant of the first two.
  iParton = iPartonMax;
  
  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Find the boost matrix to the rest frame of a junction,
// given the three respective endpoint four-momenta.

RotBstMatrix StringFragmentation::junctionRestFrame(Vec4& p0, Vec4& p1,
  Vec4& p2) {

  // Calculate masses and other invariants.
  Vec4 pSumJun  = p0 + p1 + p2;
  double sHat   = pSumJun.m2Calc();
  double pp[3][3];
  pp[0][0]      = p0.m2Calc();
  pp[1][1]      = p1.m2Calc();
  pp[2][2]      = p2.m2Calc();
  pp[0][1] = pp[1][0] = p0 * p1;
  pp[0][2] = pp[2][0] = p0 * p2;
  pp[1][2] = pp[2][1] = p1 * p2;

  // Requirement (eiMax)_j = pi*pj/mj < (eiMax)_k = pi*pk/mk, used below,
  // here rewritten as pi*pj * mk < pi*pk * mj and squared.
  double eMax01 = pow2(pp[0][1]) * pp[2][2];
  double eMax02 = pow2(pp[0][2]) * pp[1][1];
  double eMax12 = pow2(pp[1][2]) * pp[0][0];

  // Initially pick i to be the most massive parton. but allow other tries.
  int i = (pp[1][1] > pp[0][0]) ? 1 : 0;
  if (pp[2][2] > max(pp[0][0], pp[1][1])) i = 2;
  int j, k;
  double ei     = 0.;
  double ej     = 0.;
  double ek     = 0.;
  for (int iTry = 0; iTry < 3; ++iTry) {

    // Pick j to give minimal eiMax, and k the third vector.
    if (i == 0) j = (eMax02 < eMax01) ? 2 : 1;
    else if (i == 1) j = (eMax12 < eMax01) ? 2 : 0;
    else j = (eMax12 < eMax02) ? 1 : 0;
    k = 3 - i - j;

    // Alternative names according to i, j, k conventions.
    double m2i  = pp[i][i];
    double m2j  = pp[j][j];
    double m2k  = pp[k][k];
    double pipj = pp[i][j];
    double pipk = pp[i][k];
    double pjpk = pp[j][k];

    // Trivial to find new parton energies if all three partons are massless.
    if (m2i < M2MAXJRF) {
      ei        = sqrt( 2. * pipk * pipj / (3. * pjpk) );
      ej        = sqrt( 2. * pjpk * pipj / (3. * pipk) );
      ek        = sqrt( 2. * pipk * pjpk / (3. * pipj) );

    // Else find three-momentum range for parton i and values at extremes.
    } else {
      // Minimum when i is at rest.
      double piMin = 0.;
      double eiMin = sqrt(m2i);
      double ejMin = pipj / eiMin;
      double ekMin = pipk / eiMin;
      double pjMin = sqrtpos( ejMin*ejMin - m2j );
      double pkMin = sqrtpos( ekMin*ekMin - m2k );
      double fMin  = ejMin * ekMin + 0.5 * pjMin * pkMin - pjpk;
      // Maximum estimated when j + k is at rest, alternatively j at rest.
      double eiMax = (pipj + pipk) / sqrt(m2j + m2k + 2. * pjpk);
      if (m2j > M2MAXJRF) eiMax = min( eiMax, pipj / sqrt(m2j) );
      double piMax = sqrtpos( eiMax*eiMax - m2i );
      double temp  = eiMax*eiMax - 0.25 *piMax*piMax;
      double pjMax = (eiMax * sqrtpos( pipj*pipj - m2j * temp )
        - 0.5 * piMax * pipj) / temp;
      double pkMax = (eiMax * sqrtpos( pipk*pipk - m2k * temp )
        - 0.5 * piMax * pipk) / temp;
      double ejMax = sqrt(pjMax*pjMax + m2j);
      double ekMax = sqrt(pkMax*pkMax + m2k);
      double fMax  = ejMax * ekMax + 0.5 * pjMax * pkMax - pjpk;

      // If unexpected values at upper endpoint then pick another parton.
      if (fMax > 0.) {
        int iPrel = (i + 1)%3;
        if (pp[iPrel][iPrel] > M2MAXJRF) {i = iPrel; continue;}
        ++iTry;
        iPrel = (i + 2)%3;
        if (iTry < 3 && pp[iPrel][iPrel] > M2MAXJRF) {i = iPrel; continue;}
      }

      // Start binary + linear search to find solution inside range.
      int iterMin = 0;
      int iterMax = 0;
      double pi   = 0.5 * (piMin + piMax);
      for (int iter = 0; iter < NTRYJRFEQ; ++iter) {
 
        // Derive momentum of other two partons and distance to root.
        ei = sqrt(pi*pi + m2i);
        temp = ei*ei - 0.25 * pi*pi;
        double pj = (ei * sqrtpos( pipj*pipj - m2j * temp )
          - 0.5 * pi * pipj) / temp;
        double pk = (ei * sqrtpos( pipk*pipk - m2k * temp )
          - 0.5 * pi * pipk) / temp;
        ej = sqrt(pj*pj + m2j);
        ek = sqrt(pk*pk + m2k);
        double fNow = ej * ek + 0.5 * pj * pk - pjpk;

        // Replace lower or upper bound by new value.
        if (fNow > 0.) { ++iterMin; piMin = pi; fMin = fNow;}
        else {++iterMax; piMax = pi; fMax = fNow;}
            
        // Pick next i momentum to explore, hopefully closer to root.
        if (2 * iter < NTRYJRFEQ
          && (iterMin < 2 || iterMax < 2 || 4 * iter < NTRYJRFEQ))
          { pi = 0.5 * (piMin + piMax); continue;}
        if (fMin < 0. || fMax > 0. || abs(fNow) < CONVJRFEQ * sHat) break;
        pi = piMin + (piMax - piMin) * fMin / (fMin - fMax);
      }

    // If arrived here then either succeeded or exhausted possibilities.
    } break;
  }

  // Now we know the energies in the junction rest frame.
  double eNew[3] = { 0., 0., 0.};
  eNew[i] = ei;
  eNew[j] = ej;
  eNew[k] = ek;
  
  // Boost (copy of) partons to their rest frame.
  RotBstMatrix Mmove;
  Vec4 p0cm = p0;
  Vec4 p1cm = p1;
  Vec4 p2cm = p2;
  Mmove.bstback(pSumJun);
  p0cm.rotbst(Mmove);
  p1cm.rotbst(Mmove);
  p2cm.rotbst(Mmove);

  // Construct difference vectors and the boost to junction rest frame.
  Vec4 pDir01      = p0cm / p0cm.e() - p1cm / p1cm.e();
  Vec4 pDir02      = p0cm / p0cm.e() - p2cm / p2cm.e();
  double pDiff01   = pDir01.pAbs2();
  double pDiff02   = pDir02.pAbs2();
  double pDiff0102 = dot3(pDir01, pDir02);
  double eDiff01   = eNew[0] / p0cm.e() - eNew[1] / p1cm.e();
  double eDiff02   = eNew[0] / p0cm.e() - eNew[2] / p2cm.e();
  double denom     = pDiff01 * pDiff02 - pDiff0102*pDiff0102;
  double coef01    = (eDiff01 * pDiff02 - eDiff02 * pDiff0102) / denom;
  double coef02    = (eDiff02 * pDiff01 - eDiff01 * pDiff0102) / denom;
  Vec4 vJunction   = coef01 * pDir01 + coef02 * pDir02;
  vJunction.e( sqrt(1. + vJunction.pAbs2()) );

  // Add two boosts, giving final result.
  Mmove.bst(vJunction);
  return Mmove;

}

//--------------------------------------------------------------------------

// When string fragmentation has failed several times,
// try to join some more nearby partons.

int StringFragmentation::extraJoin(double facExtra, Event& event) {

  // Keep on looping while pairs found below joining threshold.
  int nJoin  = 0;
  int iPsize = iParton.size();
  while (iPsize > 2) {

    // Look for the pair of neighbour partons (along string) with
    // the smallest invariant mass (subtracting quark masses).
    int iJoinMin    = -1;
    double mJoinMin = 2. * facExtra * mJoin;
    for (int i = 0; i < iPsize - 1; ++i) {
      Particle& parton1 = event[ iParton[i] ];
      Particle& parton2 = event[ iParton[i + 1] ];
      Vec4 pSumNow;
      pSumNow += (parton2.isGluon()) ? 0.5 * parton1.p() : parton1.p();
      pSumNow += (parton2.isGluon()) ? 0.5 * parton2.p() : parton2.p();
      double mJoinNow = pSumNow.mCalc();
      if (!parton1.isGluon()) mJoinNow -= parton1.m0();
      if (!parton2.isGluon()) mJoinNow -= parton2.m0();
      if (mJoinNow < mJoinMin) { iJoinMin = i; mJoinMin = mJoinNow; }
    }

    // Decide whether to join, if not finished.
    if (iJoinMin < 0 || mJoinMin > facExtra * mJoin) return nJoin;
    ++nJoin;

    // Create new joined parton.
    int iJoin1  = iParton[iJoinMin];
    int iJoin2  = iParton[iJoinMin + 1];
    int idNew   = (event[iJoin1].isGluon()) ? event[iJoin2].id()
                                            : event[iJoin1].id();
    int colNew  = event[iJoin1].col();
    int acolNew = event[iJoin2].acol();
    if (colNew == acolNew) {
      colNew    = event[iJoin2].col();
      acolNew   = event[iJoin1].acol();
    }
    Vec4 pNew   = event[iJoin1].p() + event[iJoin2].p();

    // Append joined parton to event record and reduce parton list.
    int iNew = event.append( idNew, 73, min(iJoin1, iJoin2),
      max(iJoin1, iJoin2), 0, 0, colNew, acolNew, pNew, pNew.mCalc() );
    iParton[iJoinMin] = iNew;
    for (int i = iJoinMin + 1; i < iPsize - 1; ++i)
      iParton[i] = iParton[i + 1];
    iParton.pop_back();
    --iPsize;
  
  // Done.
  }
  return nJoin;
}
  
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/TimeShower.cc0000644000175000017500000054726712357054765015566 0ustar  sunsun// TimeShower.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the TimeShower class.

#include "Pythia8/TimeShower.h"

namespace Pythia8 {

//==========================================================================

// The TimeShower class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Minimal allowed c and b quark masses, for flavour thresholds.
const double TimeShower::MCMIN        = 1.2;
const double TimeShower::MBMIN        = 4.0;

// For small x approximate 1 - sqrt(1 - x) by x/2.
const double TimeShower::SIMPLIFYROOT = 1e-8;

// Do not allow x too close to 0 or 1 in matrix element expressions.
// Warning: cuts into phase space for E_CM > 2 * pTmin * sqrt(1/XMARGIN),
// i.e. will become problem roughly for E_CM > 10^6 GeV.
const double TimeShower::XMARGIN      = 1e-12;
const double TimeShower::XMARGINCOMB  = 1e-4;

// Lower limit on PDF value in order to avoid division by zero.
const double TimeShower::TINYPDF      = 1e-10;

// Big starting value in search for smallest invariant-mass pair.
const double TimeShower::LARGEM2      = 1e20;

// In g -> q qbar or gamma -> f fbar require m2_pair > this * m2_q/f.
const double TimeShower::THRESHM2      = 4.004;

// Never pick pT so low that alphaS is evaluated too close to Lambda_3.
const double TimeShower::LAMBDA3MARGIN = 1.1;

// Rescatter: rescattering + ISR + FSR + primordial kT can lead to
//            systems not locally conserving momentum.
// Fix up momentum in intermediate systems with rescattering
const bool   TimeShower::FIXRESCATTER          = true;
// Veto negative energies when using FIXRESCATTER option.
const bool   TimeShower::VETONEGENERGY         = false;
// Do not allow too large time- or spacelike virtualities in fixing-up.
const double TimeShower::MAXVIRTUALITYFRACTION = 0.5;
// Do not allow too large negative spacelike energy in system rest frame.
const double TimeShower::MAXNEGENERGYFRACTION  = 0.7;

// Fudge extra weight for overestimation of weak shower t-channel correction.
const double TimeShower::WEAKPSWEIGHT = 5.;

// Extra overestimate of g -> q qbar branching rate for DGLAP comparison.
const double TimeShower::WG2QEXTRA = 20.;

//--------------------------------------------------------------------------

// Initialize alphaStrong, alphaEM and related pTmin parameters.

void TimeShower::init( BeamParticle* beamAPtrIn,
  BeamParticle* beamBPtrIn) {

  // Store input pointers for future use.
  beamAPtr           = beamAPtrIn;
  beamBPtr           = beamBPtrIn;

  // Main flags.
  doQCDshower        = settingsPtr->flag("TimeShower:QCDshower");
  doQEDshowerByQ     = settingsPtr->flag("TimeShower:QEDshowerByQ");
  doQEDshowerByL     = settingsPtr->flag("TimeShower:QEDshowerByL");
  doQEDshowerByGamma = settingsPtr->flag("TimeShower:QEDshowerByGamma");
  doWeakShower       = settingsPtr->flag("TimeShower:weakShower");
  doMEcorrections    = settingsPtr->flag("TimeShower:MEcorrections");
  doMEafterFirst     = settingsPtr->flag("TimeShower:MEafterFirst");
  doPhiPolAsym       = settingsPtr->flag("TimeShower:phiPolAsym");
  doInterleave       = settingsPtr->flag("TimeShower:interleave");
  allowBeamRecoil    = settingsPtr->flag("TimeShower:allowBeamRecoil");
  dampenBeamRecoil   = settingsPtr->flag("TimeShower:dampenBeamRecoil");
  recoilToColoured   = settingsPtr->flag("TimeShower:recoilToColoured");

  // Matching in pT of hard interaction or MPI to shower evolution.
  pTmaxMatch         = settingsPtr->mode("TimeShower:pTmaxMatch");
  pTdampMatch        = settingsPtr->mode("TimeShower:pTdampMatch");
  pTmaxFudge         = settingsPtr->parm("TimeShower:pTmaxFudge");
  pTmaxFudgeMPI      = settingsPtr->parm("TimeShower:pTmaxFudgeMPI");
  pTdampFudge        = settingsPtr->parm("TimeShower:pTdampFudge");

  // Charm and bottom mass thresholds.
  mc                 = max( MCMIN, particleDataPtr->m0(4));
  mb                 = max( MBMIN, particleDataPtr->m0(5));
  m2c                = mc * mc;
  m2b                = mb * mb;

  // Parameters of scale choices.
  renormMultFac     = settingsPtr->parm("TimeShower:renormMultFac");
  factorMultFac     = settingsPtr->parm("TimeShower:factorMultFac");
  useFixedFacScale  = settingsPtr->flag("TimeShower:useFixedFacScale");
  fixedFacScale2    = pow2(settingsPtr->parm("TimeShower:fixedFacScale"));

  // Parameters of alphaStrong generation.
  alphaSvalue        = settingsPtr->parm("TimeShower:alphaSvalue");
  alphaSorder        = settingsPtr->mode("TimeShower:alphaSorder");
  alphaSnfmax        = settingsPtr->mode("StandardModel:alphaSnfmax");
  alphaSuseCMW       = settingsPtr->flag("TimeShower:alphaSuseCMW");
  alphaS2pi          = 0.5 * alphaSvalue / M_PI;

  // Initialize alphaStrong generation.
  alphaS.init( alphaSvalue, alphaSorder, alphaSnfmax, alphaSuseCMW);
  
  // Lambda for 5, 4 and 3 flavours.
  Lambda3flav        = alphaS.Lambda3();
  Lambda4flav        = alphaS.Lambda4();
  Lambda5flav        = alphaS.Lambda5();
  Lambda5flav2       = pow2(Lambda5flav);
  Lambda4flav2       = pow2(Lambda4flav);
  Lambda3flav2       = pow2(Lambda3flav);
 
  // Parameters of QCD evolution. Warn if pTmin must be raised.
  nGluonToQuark      = settingsPtr->mode("TimeShower:nGluonToQuark");
  weightGluonToQuark = settingsPtr->mode("TimeShower:weightGluonToQuark");
  scaleGluonToQuark  = settingsPtr->parm("TimeShower:scaleGluonToQuark");
  extraGluonToQuark  = (weightGluonToQuark%4 == 3) ? WG2QEXTRA : 1.;
  pTcolCutMin        = settingsPtr->parm("TimeShower:pTmin");
  if (pTcolCutMin > LAMBDA3MARGIN * Lambda3flav / sqrt(renormMultFac))
    pTcolCut         = pTcolCutMin;
  else {
    pTcolCut         = LAMBDA3MARGIN * Lambda3flav / sqrt(renormMultFac);
    ostringstream newPTcolCut;
    newPTcolCut << fixed << setprecision(3) << pTcolCut;
    infoPtr->errorMsg("Warning in TimeShower::init: pTmin too low",
                      ", raised to " + newPTcolCut.str() );
    infoPtr->setTooLowPTmin(true);
  }
  pT2colCut          = pow2(pTcolCut);
       
  // Parameters of alphaEM generation.
  alphaEMorder       = settingsPtr->mode("TimeShower:alphaEMorder");

  // Initialize alphaEM generation.
  alphaEM.init( alphaEMorder, settingsPtr);
 
  // Parameters of QED evolution.
  nGammaToQuark      = settingsPtr->mode("TimeShower:nGammaToQuark");
  nGammaToLepton     = settingsPtr->mode("TimeShower:nGammaToLepton");
  pTchgQCut          = settingsPtr->parm("TimeShower:pTminChgQ");
  pT2chgQCut         = pow2(pTchgQCut);
  pTchgLCut          = settingsPtr->parm("TimeShower:pTminChgL");
  pT2chgLCut         = pow2(pTchgLCut);
  mMaxGamma          = settingsPtr->parm("TimeShower:mMaxGamma");
  m2MaxGamma         = pow2(mMaxGamma);

  // Parameters of weak evolution.
  weakMode           = settingsPtr->mode("TimeShower:weakShowerMode");
  pTweakCut          = settingsPtr->parm("TimeShower:pTminWeak");
  pT2weakCut         = pow2(pTweakCut);
  weakEnhancement    = settingsPtr->parm("WeakShower:enhancement");
  singleWeakEmission = settingsPtr->flag("WeakShower:singleEmission");
  vetoWeakJets       = settingsPtr->flag("WeakShower:vetoWeakJets");
  vetoWeakDeltaR2    = pow2(settingsPtr->parm("WeakShower:vetoWeakDeltaR"));

  // Consisteny check for gamma -> f fbar variables.
  if (nGammaToQuark <= 0 && nGammaToLepton <= 0) doQEDshowerByGamma = false;

  // Possibility of a global recoil stategy, e.g. for MC@NLO.
  globalRecoil       = settingsPtr->flag("TimeShower:globalRecoil");
  nMaxGlobalRecoil   = settingsPtr->mode("TimeShower:nMaxGlobalRecoil");
  // Number of splittings produced with global recoil.
  nMaxGlobalBranch   = settingsPtr->mode("TimeShower:nMaxGlobalBranch");
  // Number of partons in Born-like events, to distinguish between S and H.
  nFinalBorn         = settingsPtr->mode("TimeShower:nPartonsInBorn");
  // Flag to allow to start from a scale smaller than scalup.
  globalRecoilMode   = settingsPtr->mode("TimeShower:globalRecoilMode");
  // Flag to allow to start from a scale smaller than scalup.
  limitMUQ           = settingsPtr->flag("TimeShower:limitPTmaxGlobal");

  // Fraction and colour factor of gluon emission off onium octat state.
  octetOniumFraction = settingsPtr->parm("TimeShower:octetOniumFraction");
  octetOniumColFac   = settingsPtr->parm("TimeShower:octetOniumColFac");

  // Z0 and W+- properties needed for gamma/Z0 mixing and weak showers.
  mZ                 = particleDataPtr->m0(23);
  gammaZ             = particleDataPtr->mWidth(23);
  thetaWRat          = 1. / (16. * coupSMPtr->sin2thetaW()
                       * coupSMPtr->cos2thetaW());
  mW                 = particleDataPtr->m0(24);
  gammaW             = particleDataPtr->mWidth(24);

  // May have to fix up recoils related to rescattering.
  allowRescatter     = settingsPtr->flag("PartonLevel:MPI")
    && settingsPtr->flag("MultipartonInteractions:allowRescatter");

  // Hidden Valley scenario with further shower activity.
  doHVshower         = settingsPtr->flag("HiddenValley:FSR");
  nCHV               = settingsPtr->mode("HiddenValley:Ngauge");
  alphaHVfix         = settingsPtr->parm("HiddenValley:alphaFSR");
  pThvCut            = settingsPtr->parm("HiddenValley:pTminFSR");
  pT2hvCut           = pThvCut * pThvCut;
  CFHV               = (nCHV == 1) ? 1. : (nCHV * nCHV - 1.)/(2. * nCHV);
  idHV               = (nCHV == 1) ? 4900022 : 4900021;
  mHV                = particleDataPtr->m0(idHV);
  brokenHVsym        = (nCHV == 1 && mHV > 0.);

  // Possibility of two predetermined hard emissions in event.
  doSecondHard    = settingsPtr->flag("SecondHard:generate");

  // Possibility to allow user veto of emission step.
  canVetoEmission    = (userHooksPtr != 0)
                     ? userHooksPtr->canVetoFSREmission() : false;

  // Set initial value, just in case.
  dopTdamp           = false;
  pT2damp            = 0.;

  // Default values for the weak shower.
  hasWeaklyRadiated  = false;

}

//--------------------------------------------------------------------------

// Find whether to limit maximum scale of emissions.
// Also allow for dampening at factorization or renormalization scale.

bool TimeShower::limitPTmax( Event& event, double Q2Fac, double Q2Ren) {

  // Find whether to limit pT. Begin by user-set cases.
  bool dopTlimit = false;
  dopTlimit1 = dopTlimit2 = false;
  if      (pTmaxMatch == 1) dopTlimit = dopTlimit1 = dopTlimit2 = true;
  else if (pTmaxMatch == 2) dopTlimit = dopTlimit1 = dopTlimit2 = false;

  // Always restrict SoftQCD processes.
  else if (infoPtr->isNonDiffractive() || infoPtr->isDiffractiveA()
    || infoPtr->isDiffractiveB() || infoPtr->isDiffractiveC() )
    dopTlimit = dopTlimit1 = dopTlimit2 = true;
   
  // Look if any quark (u, d, s, c, b), gluon or photon in final state.
  else {
    int n21 = 0;
    for (int i = 5; i < event.size(); ++i) {
      if (event[i].status() == -21) ++n21;
      else if (n21 == 0) {
        int idAbs = event[i].idAbs();
        if (idAbs <= 5 || idAbs == 21 || idAbs == 22) dopTlimit1 = true;
      } else if (n21 == 2) {
        int idAbs = event[i].idAbs();
        if (idAbs <= 5 || idAbs == 21 || idAbs == 22) dopTlimit2 = true;
      }
    }
    dopTlimit = (doSecondHard) ? (dopTlimit1 && dopTlimit2) : dopTlimit1;
  }

  // Dampening at factorization or renormalization scale; only for hardest.
  dopTdamp   = false;
  pT2damp    = 0.;
  if ( !dopTlimit1 && (pTdampMatch == 1 || pTdampMatch == 2) ) {
    dopTdamp = true;
    pT2damp  = pow2(pTdampFudge) * ((pTdampMatch == 1) ? Q2Fac : Q2Ren);
  }

  // Done.
  return dopTlimit;
 
}

//--------------------------------------------------------------------------

// Top-level routine to do a full time-like shower in resonance decay.

int TimeShower::shower( int iBeg, int iEnd, Event& event, double pTmax,
  int nBranchMax) {

  // Add new system, automatically with two empty beam slots.
  int iSys = partonSystemsPtr->addSys();
    
  // Loop over allowed range to find all final-state particles.
  Vec4 pSum;
  for (int i = iBeg; i <= iEnd; ++i) if (event[i].isFinal()) {
    partonSystemsPtr->addOut( iSys, i);
    pSum += event[i].p();
  }
  partonSystemsPtr->setSHat( iSys, pSum.m2Calc() );

  // Let prepare routine do the setup.
  dopTlimit1        = true;
  dopTlimit2        = true;
  dopTdamp          = false;
  hasWeaklyRadiated = false;
  prepare( iSys, event, true);

  // Begin evolution down in pT from hard pT scale.
  int nBranch  = 0;
  pTLastBranch = 0.;
  do {
    double pTtimes = pTnext( event, pTmax, 0.);

    // Do a final-state emission (if allowed).
    if (pTtimes > 0.) {
      if (branch( event)) {
        ++nBranch;
        pTLastBranch = pTtimes;
      }
      pTmax = pTtimes;
    }
    
    // Keep on evolving until nothing is left to be done.
    else pTmax = 0.;
  } while (pTmax > 0. && (nBranchMax <= 0 || nBranch < nBranchMax));

  // Return number of emissions that were performed.
  return nBranch;

}

//--------------------------------------------------------------------------

// Top-level routine for QED radiation in hadronic decay to two leptons.
// Intentionally only does photon radiation, i.e. no photon branchings.

int TimeShower::showerQED( int i1, int i2, Event& event, double pTmax) {

  // Add new system, automatically with two empty beam slots.
  int iSys = partonSystemsPtr->addSys();
  partonSystemsPtr->addOut( iSys, i1);
  partonSystemsPtr->addOut( iSys, i2);
  partonSystemsPtr->setSHat( iSys, m2(event[i1], event[i2]) );

  // Charge type of two leptons tells whether MEtype is gamma*/Z0 or W+-.
  int iChg1  = event[i1].chargeType();
  int iChg2  = event[i2].chargeType();
  int MEtype = (iChg1 + iChg2 == 0) ? 102 : 101;

  // Fill dipole-ends list.
  dipEnd.resize(0);
  if (iChg1 != 0) dipEnd.push_back( TimeDipoleEnd(i1, i2, pTmax,
      0, iChg1, 0, 0, 0, iSys, MEtype, i2) );
  if (iChg2 != 0) dipEnd.push_back( TimeDipoleEnd(i2, i1, pTmax,
      0, iChg2, 0, 0, 0, iSys, MEtype, i1) );

  // Begin evolution down in pT from hard pT scale.
  int nBranch  = 0;
  pTLastBranch = 0.;
  do {

    // Begin loop over all possible radiating dipole ends.
    dipSel  = 0;
    iDipSel = -1;
    double pT2sel = 0.;
    for (int iDip = 0; iDip < int(dipEnd.size()); ++iDip) {
      TimeDipoleEnd& dip = dipEnd[iDip];

      // Dipole properties.
      dip.mRad  = event[dip.iRadiator].m();
      dip.mRec  = event[dip.iRecoiler].m();
      dip.mDip  = m( event[dip.iRadiator], event[dip.iRecoiler] );
      dip.m2Rad = pow2(dip.mRad);
      dip.m2Rec = pow2(dip.mRec);
      dip.m2Dip = pow2(dip.mDip);

      // Find maximum evolution scale for dipole.
      dip.m2DipCorr    = pow2(dip.mDip - dip.mRec) - dip.m2Rad;
      double pTbegDip  = min( pTmax, dip.pTmax );
      double pT2begDip = min( pow2(pTbegDip), 0.25 * dip.m2DipCorr);

      // Do QED evolution where relevant.
      dip.pT2 = 0.;
      if (pT2begDip > pT2sel) {
        pT2nextQED( pT2begDip, pT2sel, dip, event);

        // Update if found larger pT than current maximum. End dipole loop.
        if (dip.pT2 > pT2sel) {
          pT2sel  = dip.pT2;
          dipSel  = &dip;
          iDipSel = iDip;
        }
      }
    }
    double pTsel = (dipSel == 0) ? 0. : sqrt(pT2sel);

    // Do a final-state emission (if allowed).
    if (pTsel > 0.) {

      // Find initial radiator and recoiler particles in dipole branching.
      int iRadBef      = dipSel->iRadiator;
      int iRecBef      = dipSel->iRecoiler;
      Particle& radBef = event[iRadBef];
      Particle& recBef = event[iRecBef];
      Vec4 pRadBef     = event[iRadBef].p();
      Vec4 pRecBef     = event[iRecBef].p();
      
      // Construct kinematics in dipole rest frame; massless emitter.
      double pTorig       = sqrt( dipSel->pT2);
      double eRadPlusEmt  = 0.5 * (dipSel->m2Dip + dipSel->m2 - dipSel->m2Rec)
        / dipSel->mDip;
      double e2RadPlusEmt = pow2(eRadPlusEmt);
      double pzRadPlusEmt = 0.5 * sqrtpos( pow2(dipSel->m2Dip - dipSel->m2
        - dipSel->m2Rec) - 4. * dipSel->m2 * dipSel->m2Rec ) / dipSel->mDip;
      double pT2corr = dipSel->m2 * (e2RadPlusEmt * dipSel->z
        * (1. - dipSel->z) - 0.25 * dipSel->m2) / pow2(pzRadPlusEmt);
      double pTcorr       = sqrtpos( pT2corr );
      double pzRad        = (e2RadPlusEmt * dipSel->z - 0.5 * dipSel->m2)
        / pzRadPlusEmt;
      double pzEmt        = (e2RadPlusEmt * (1. - dipSel->z)
        - 0.5 * dipSel->m2) / pzRadPlusEmt;
      double mRad         = dipSel->mRad;
      double mEmt         = 0.;

      // Kinematics reduction for radiator mass.
      double m2Ratio    = dipSel->m2Rad / dipSel->m2;
      pTorig           *= 1. - m2Ratio;
      pTcorr           *= 1. - m2Ratio;
      pzRad            += pzEmt * m2Ratio;
      pzEmt            *= 1. - m2Ratio;

      // Store kinematics of branching in dipole rest frame.
      double phi = 2. * M_PI * rndmPtr->flat();
      Vec4 pRad = Vec4( pTcorr * cos(phi), pTcorr * sin(phi), pzRad,
        sqrt( pow2(pTcorr) + pow2(pzRad) + pow2(mRad) ) );
      Vec4 pEmt = Vec4( -pRad.px(), -pRad.py(), pzEmt,
        sqrt( pow2(pTcorr) + pow2(pzEmt) + pow2(mEmt) ) );
      Vec4 pRec = Vec4( 0., 0., -pzRadPlusEmt,
        sqrt( pow2(pzRadPlusEmt) + dipSel->m2Rec ) );

      // Rotate and boost dipole products to the event frame.
      RotBstMatrix M;
      M.fromCMframe(pRadBef, pRecBef);
      pRad.rotbst(M);
      pEmt.rotbst(M);
      pRec.rotbst(M);

      // Define new particles from dipole branching.
      Particle rad = Particle(radBef.id(), 51, iRadBef, 0, 0, 0,
        radBef.col(), radBef.acol(), pRad, mRad, pTsel);
      Particle emt = Particle(22, 51, iRadBef, 0, 0, 0,
        0, 0, pEmt, mEmt, pTsel);
      Particle rec = Particle(recBef.id(),  52, iRecBef, iRecBef, 0, 0,
        recBef.col(), recBef.acol(), pRec, dipSel->mRec, pTsel);

      // ME corrections can lead to branching being rejected.
      if (dipSel->MEtype == 0
        || findMEcorr( dipSel, rad, rec, emt, false) > rndmPtr->flat() ) {
 
        // Shower may occur at a displaced vertex, or for unstable particle.
        if (radBef.hasVertex()) {
          rad.vProd( radBef.vProd() );
          emt.vProd( radBef.vProd() );
        }
        if (recBef.hasVertex()) rec.vProd( recBef.vProd() );
        rad.tau( event[iRadBef].tau() );
        rec.tau( event[iRecBef].tau() );

        // Put new particles into the event record.
        int iRad = event.append(rad);
        int iEmt = event.append(emt);
        event[iRadBef].statusNeg();
        event[iRadBef].daughters( iRad, iEmt);
        int iRec = event.append(rec);
        event[iRecBef].statusNeg();
        event[iRecBef].daughters( iRec, iRec);

        // Update to new dipole ends.
        dipSel->iRadiator = iRad;
        dipSel->iRecoiler = iRec;
        dipSel->pTmax = pTsel;

        // Update other dipoles that also involved the radiator or recoiler.
        for (int i = 0; i < int(dipEnd.size()); ++i) if (i != iDipSel) {
          if (dipEnd[i].iRadiator  == iRadBef) dipEnd[i].iRadiator  = iRad;
          if (dipEnd[i].iRecoiler  == iRadBef) dipEnd[i].iRecoiler  = iRad;
          if (dipEnd[i].iMEpartner == iRadBef) dipEnd[i].iMEpartner = iRad;
          if (dipEnd[i].iRadiator  == iRecBef) dipEnd[i].iRadiator  = iRec;
          if (dipEnd[i].iRecoiler  == iRecBef) dipEnd[i].iRecoiler  = iRec;
          if (dipEnd[i].iMEpartner == iRecBef) dipEnd[i].iMEpartner = iRec;
        }

        // Done with branching
        ++nBranch;
        pTLastBranch = pTsel;
      }
      pTmax = pTsel;
    }
    
    // Keep on evolving until nothing is left to be done.
    else pTmax = 0.;
  } while (pTmax > 0.);

  // Return number of emissions that were performed.
  return nBranch;

}

//--------------------------------------------------------------------------

// Global recoil: reset counters and store locations of outgoing partons.

void TimeShower::prepareGlobal( Event& event) {

  // Global recoils: reset some counters.
  nGlobal    = 0;
  nHard      = 0;
  nProposed  = 0;
  hardPartons.resize(0);

  // Global recoils: store positions of hard outgoing partons.
  // No global recoil for H events.
  if (globalRecoil) {
    for (int i = 0; i < event.size(); ++i)
      if (event[i].isFinal() && event[i].colType() != 0)
        hardPartons.push_back(i);
    nHard = hardPartons.size();
    if (nFinalBorn > 0 && nHard > nFinalBorn) {
      hardPartons.resize(0);
      nHard = 0;
    }
  }

}

//--------------------------------------------------------------------------

// Prepare system for evolution; identify ME.

void TimeShower::prepare( int iSys, Event& event, bool limitPTmaxIn) {

  // Reset number of proposed splittings.
  nProposed = 0;

  // Reset W/Z radiation flag at first call for new event.
  if (iSys == 0) hasWeaklyRadiated = false;

  // Reset dipole-ends list for first interaction and for resonance decays.
  int iInA = partonSystemsPtr->getInA(iSys);
  int iInB = partonSystemsPtr->getInB(iSys);
  if (iSys == 0 || iInA == 0) dipEnd.resize(0);
  int dipEndSizeBeg = dipEnd.size();

  // No dipoles for 2 -> 1 processes.
  if (partonSystemsPtr->sizeOut(iSys) < 2) return;

  // In case of DPS overwrite limitPTmaxIn by saved value.
  if (doSecondHard && iSys == 0) limitPTmaxIn = dopTlimit1;
  if (doSecondHard && iSys == 1) limitPTmaxIn = dopTlimit2;

  // Loop through final state of system to find possible dipole ends.
  for (int i = 0; i < partonSystemsPtr->sizeOut(iSys); ++i) {
    int iRad = partonSystemsPtr->getOut( iSys, i);
    if (event[iRad].isFinal() && event[iRad].scale() > 0.) {

      // Identify colour octet onium state. Check whether QCD shower allowed.
      int idRad    = event[iRad].id();
      int idRadAbs = abs(idRad);
      bool isOctetOnium = particleDataPtr->isOctetHadron(idRad);
      bool doQCD = doQCDshower;
      if (doQCD && isOctetOnium)
        doQCD = (rndmPtr->flat() < octetOniumFraction);

      // Find dipole end formed by colour index.
      int colTag = event[iRad].col();
      if (doQCD && colTag > 0) setupQCDdip( iSys, i,  colTag,  1, event,
        isOctetOnium, limitPTmaxIn);

      // Find dipole end formed by anticolour index.
      int acolTag = event[iRad].acol();
      if (doQCD && acolTag > 0) setupQCDdip( iSys, i, acolTag, -1, event,
        isOctetOnium, limitPTmaxIn);

      // Find "charge-dipole" and "photon-dipole" ends.
      int  chgType  = event[iRad].chargeType();
      bool doChgDip = (chgType != 0)
                       && ( ( doQEDshowerByQ && event[iRad].isQuark()  )
                         || ( doQEDshowerByL && event[iRad].isLepton() ) );
      int  gamType  = (idRad == 22) ? 1 : 0;
      bool doGamDip = (gamType == 1) && doQEDshowerByGamma;
      if (doChgDip || doGamDip) setupQEDdip( iSys, i, chgType, gamType,
         event, limitPTmaxIn);

      // Find weak diple ends.
      if (doWeakShower && (iSys == 0 || !partonSystemsPtr->hasInAB(iSys)) 
        && (event[iRad].isQuark()  || event[iRad].isLepton())) {
        if (weakMode == 0 || weakMode == 1)
          setupWeakdip( iSys, i, 1, event, limitPTmaxIn);
        if (weakMode == 0 || weakMode == 2)
          setupWeakdip( iSys, i, 2, event, limitPTmaxIn);
      }

      // Find Hidden Valley dipole ends.
      bool isHVrad =  (idRadAbs > 4900000 && idRadAbs < 4900007)
                   || (idRadAbs > 4900010 && idRadAbs < 4900017)
                   || idRadAbs == 4900101;
      if (doHVshower && isHVrad) setupHVdip( iSys, i, event, limitPTmaxIn);

    // End loop over system final state. Have now found the dipole ends.
    }
  }

  // Loop through dipole ends to find matrix element corrections.
  for (int iDip = dipEndSizeBeg; iDip < int(dipEnd.size()); ++iDip)
    findMEtype( event, dipEnd[iDip]);

  // Update dipole list after a multiparton interactions rescattering.
  if (iSys > 0 && ( (iInA > 0 && event[iInA].status() == -34)
    || (iInB > 0 && event[iInB].status() == -34) ) )
    rescatterUpdate( iSys, event);
  
}

//--------------------------------------------------------------------------

// Update dipole list after a multiparton interactions rescattering.

void TimeShower::rescatterUpdate( int iSys, Event& event) {

  // Loop over two incoming partons in system; find their rescattering mother.
  // (iOut is outgoing from old system = incoming iIn of rescattering system.)
  for (int iResc = 0; iResc < 2; ++iResc) {
    int iIn = (iResc == 0) ? partonSystemsPtr->getInA(iSys)
                           : partonSystemsPtr->getInB(iSys);
    if (iIn == 0 || event[iIn].status() != -34) continue;
    int iOut = event[iIn].mother1();

    // Loop over all dipoles.
    int dipEndSize = dipEnd.size();
    for (int iDip = 0; iDip < dipEndSize; ++iDip) {
      TimeDipoleEnd& dipNow = dipEnd[iDip];

      // Kill dipoles where rescattered parton is radiator.
      if (dipNow.iRadiator == iOut) {
        dipNow.colType = 0;
        dipNow.chgType = 0;
        dipNow.gamType = 0;
        continue;
      }
      // No matrix element for dipoles between scatterings.
      if (dipNow.iMEpartner == iOut) {
        dipNow.MEtype     =  0;
        dipNow.iMEpartner = -1;
      }

      // Update dipoles where outgoing rescattered parton is recoiler.
      if (dipNow.iRecoiler == iOut) {
        int iRad = dipNow.iRadiator;

        // Colour dipole: recoil in final state, initial state or new.
        if (dipNow.colType > 0) {
          int colTag = event[iRad].col();
          bool done  = false;
          for (int i = 0; i < partonSystemsPtr->sizeOut(iSys); ++i) {
            int iRecNow = partonSystemsPtr->getOut( iSys, i);
            if (event[iRecNow].acol() == colTag) {
              dipNow.iRecoiler = iRecNow;
              dipNow.systemRec = iSys;
              dipNow.MEtype    = 0;
              done             = true;
              break;
            }
          }
          if (!done) {
            int iIn2 = (iResc == 0) ? partonSystemsPtr->getInB(iSys)
                                    : partonSystemsPtr->getInA(iSys);
            if (event[iIn2].col() == colTag) {
              dipNow.iRecoiler = iIn2;
              dipNow.systemRec = iSys;
              dipNow.MEtype    = 0;
              int isrType      = event[iIn2].mother1();
              // This line in case mother is a rescattered parton.
              while (isrType > 2 + beamOffset)
                isrType = event[isrType].mother1();
              if (isrType > 2) isrType -= beamOffset;
              dipNow.isrType   = isrType;
              done             = true;
            }
          }
          // If above options failed, then create new dipole.
          if (!done) {
            int iRadNow = partonSystemsPtr->getIndexOfOut(dipNow.system, iRad);
            if (iRadNow != -1)
              setupQCDdip(dipNow.system, iRadNow, event[iRad].col(), 1,
                          event, dipNow.isOctetOnium, true);
            else
              infoPtr->errorMsg("Warning in TimeShower::rescatterUpdate: "
              "failed to locate radiator in system");

            dipNow.colType = 0;
            dipNow.chgType = 0;
            dipNow.gamType = 0;

            infoPtr->errorMsg("Warning in TimeShower::rescatterUpdate: "
            "failed to locate new recoiling colour partner");
          }

        // Anticolour dipole: recoil in final state, initial state or new.
        } else if (dipNow.colType < 0) {
          int  acolTag = event[iRad].acol();
          bool done    = false;
          for (int i = 0; i < partonSystemsPtr->sizeOut(iSys); ++i) {
            int iRecNow = partonSystemsPtr->getOut( iSys, i);
            if (event[iRecNow].col() == acolTag) {
              dipNow.iRecoiler = iRecNow;
              dipNow.systemRec = iSys;
              dipNow.MEtype    = 0;
              done             = true;
              break;
            }
          }
          if (!done) {
            int iIn2 = (iResc == 0) ? partonSystemsPtr->getInB(iSys)
                                    : partonSystemsPtr->getInA(iSys);
            if (event[iIn2].acol() == acolTag) {
              dipNow.iRecoiler = iIn2;
              dipNow.systemRec = iSys;
              dipNow.MEtype    = 0;
              int isrType      = event[iIn2].mother1();
              // This line in case mother is a rescattered parton.
              while (isrType > 2 + beamOffset)
                isrType = event[isrType].mother1();
              if (isrType > 2) isrType -= beamOffset;
              dipNow.isrType   = isrType;
              done             = true;
            }
          }
          // If above options failed, then create new dipole.
          if (!done) {
            int iRadNow = partonSystemsPtr->getIndexOfOut(dipNow.system, iRad);
            if (iRadNow != -1)
              setupQCDdip(dipNow.system, iRadNow, event[iRad].acol(), -1,
                          event, dipNow.isOctetOnium, true);
            else
              infoPtr->errorMsg("Warning in TimeShower::rescatterUpdate: "
              "failed to locate radiator in system");

            dipNow.colType = 0;
            dipNow.chgType = 0;
            dipNow.gamType = 0;

            infoPtr->errorMsg("Warning in TimeShower::rescatterUpdate: "
            "failed to locate new recoiling colour partner");
          }

        // Charge or photon dipoles: same flavour in final or initial state.
        } else if (dipNow.chgType != 0 || dipNow.gamType != 0) {
          int  idTag = event[dipNow.iRecoiler].id();
          bool done  = false;
          for (int i = 0; i < partonSystemsPtr->sizeOut(iSys); ++i) {
            int iRecNow = partonSystemsPtr->getOut( iSys, i);
            if (event[iRecNow].id() == idTag) {
              dipNow.iRecoiler = iRecNow;
              dipNow.systemRec = iSys;
              dipNow.MEtype    = 0;
              done             = true;
              break;
            }
          }
          if (!done) {
            int iIn2 = (iResc == 0) ? partonSystemsPtr->getInB(iSys)
                                    : partonSystemsPtr->getInA(iSys);
            if (event[iIn2].id() == -idTag) {
              dipNow.iRecoiler = iIn2;
              dipNow.systemRec = iSys;
              dipNow.MEtype    = 0;
              int isrType      = event[iIn2].mother1();
              // This line in case mother is a rescattered parton.
              while (isrType > 2 + beamOffset)
                isrType = event[isrType].mother1();
              if (isrType > 2) isrType -= beamOffset;
              dipNow.isrType   = isrType;
              done             = true;
            }
          }
          // If above options failed, then create new dipole
          if (!done) {
            int iRadNow = partonSystemsPtr->getIndexOfOut(dipNow.system, iRad);
            if (iRadNow != -1)
              setupQEDdip(dipNow.system, iRadNow, dipNow.chgType,
                          dipNow.gamType, event, true);
            else
              infoPtr->errorMsg("Warning in TimeShower::rescatterUpdate: "
              "failed to locate radiator in system");

            dipNow.colType = 0;
            dipNow.chgType = 0;
            dipNow.gamType = 0;

            infoPtr->errorMsg("Warning in TimeShower::rescatterUpdate: "
            "failed to locate new recoiling charge partner");
          }
        }
      }

    // End of loop over dipoles and two incoming sides.
    }
  }
  
}

//--------------------------------------------------------------------------

// Update dipole list after each ISR emission (so not used for resonances).

  void TimeShower::update( int iSys, Event& event, bool hasWeakRad) {

  // Start list of rescatterers that gave further changed systems in ISR.
  vector iRescatterer;

  // Find new and old positions of incoming partons in the system.
  vector iNew, iOld;
  iNew.push_back( partonSystemsPtr->getInA(iSys) );
  iOld.push_back( event[iNew[0]].daughter2() );
  iNew.push_back( partonSystemsPtr->getInB(iSys) );
  iOld.push_back( event[iNew[1]].daughter2() );

  // Ditto for outgoing partons, except the newly created one.
  int sizeOut = partonSystemsPtr->sizeOut(iSys) - 1;
  for (int i = 0; i < sizeOut; ++i) {
    int iNow = partonSystemsPtr->getOut(iSys, i);
    iNew.push_back( iNow );
    iOld.push_back( event[iNow].mother1() );
    // Add non-final to list of rescatterers.
    if (!event[iNow].isFinal()) iRescatterer.push_back( iNow );
  }
  int iNewNew = partonSystemsPtr->getOut(iSys, sizeOut);
  
  // Swap beams to let 0 be side on which branching occured.
  if (event[iNew[0]].status() != -41) {
    swap( iNew[0], iNew[1]);
    swap( iOld[0], iOld[1]);
  }

  // Loop over all dipole ends belonging to the system
  // or to the recoil system, if different.
  for (int iDip = 0; iDip < int(dipEnd.size()); ++iDip)
  if (dipEnd[iDip].system == iSys || dipEnd[iDip].systemRec == iSys) {
    TimeDipoleEnd& dipNow = dipEnd[iDip];

    // Replace radiator (always in final state so simple).
    for (int i = 2; i < 2 + sizeOut; ++i)
    if (dipNow.iRadiator == iOld[i]) {
      dipNow.iRadiator = iNew[i];
      break;
    }

    // Replace ME partner (always in final state, if exists, so simple).
    for (int i = 2; i < 2 + sizeOut; ++i)
    if (dipNow.iMEpartner == iOld[i]) {
      dipNow.iMEpartner = iNew[i];
      break;
    }

    // Recoiler: by default pick old one, only moved. Note excluded beam.
    int iRec = 0;
    if (dipNow.systemRec == iSys) {
      for (int i = 1; i < 2 + sizeOut; ++i)
      if (dipNow.iRecoiler == iOld[i]) {
        iRec = iNew[i];
        break;
      }

      // QCD recoiler: check if colour hooks up with new final parton.
      if ( dipNow.colType > 0
        && event[dipNow.iRadiator].col() == event[iNewNew].acol() ) {
        iRec = iNewNew;
        dipNow.isrType = 0;
      }
      if ( dipNow.colType < 0
        && event[dipNow.iRadiator].acol() == event[iNewNew].col() ) {
        iRec = iNewNew;
        dipNow.isrType = 0;
      }
      
      // QCD recoiler: check if colour hooks up with new beam parton.
      if ( iRec == 0 && dipNow.colType > 0
        && event[dipNow.iRadiator].col()  == event[iNew[0]].col() )
        iRec = iNew[0];
      if ( iRec == 0 && dipNow.colType < 0
        && event[dipNow.iRadiator].acol() == event[iNew[0]].acol() )
        iRec = iNew[0];

      // QED/photon recoiler: either to new particle or remains to beam.
      if ( iRec == 0 && (dipNow.chgType != 0 || dipNow.gamType != 0) ) {
        if ( event[iNew[0]].chargeType() == 0 ) {
          iRec = iNewNew;
          dipNow.isrType = 0;
        } else {
          iRec = iNew[0];
        }
      }

    // Recoiler in another system: keep it as is.
    } else iRec = dipNow.iRecoiler;

    // Done. Kill dipole if failed to find new recoiler.
    dipNow.iRecoiler = iRec;
    if ( iRec == 0 && (dipNow.colType != 0 || dipNow.chgType != 0
      || dipNow.gamType != 0) ) {
      dipNow.colType = 0;
      dipNow.chgType = 0;
      dipNow.gamType = 0;
      infoPtr->errorMsg("Error in TimeShower::update: "
      "failed to locate new recoiling partner");
    }

    // Kill weak dipoles if ISR emitted W/Z
    // and only a single weak emission is allowed.
    if (hasWeakRad && singleWeakEmission && dipNow.weakType != 0)
      dipNow.weakType = 0;
  }

  // Set the weak radiated variable to true if already radiated.
  if (hasWeakRad) hasWeaklyRadiated = true;
  
  // Find new dipole end formed by colour index.
  int colTag = event[iNewNew].col();
  if (doQCDshower && colTag > 0)
    setupQCDdip( iSys, sizeOut, colTag, 1, event, false, true);
  
  // Find new dipole end formed by anticolour index.
  int acolTag = event[iNewNew].acol();
  if (doQCDshower && acolTag > 0)
    setupQCDdip( iSys, sizeOut, acolTag, -1, event, false, true);


  // Find new "charge-dipole" and "photon-dipole" ends.
  int  chgType  = event[iNewNew].chargeType();
  bool doChgDip = (chgType != 0)
                  && ( ( doQEDshowerByQ && event[iNewNew].isQuark()  )
                    || ( doQEDshowerByL && event[iNewNew].isLepton() ) );
  int  gamType  = (event[iNewNew].id() == 22) ? 1 : 0;
  bool doGamDip = (gamType == 1) && doQEDshowerByGamma;
  if (doChgDip || doGamDip)
    setupQEDdip( iSys, sizeOut, chgType, gamType, event, true);

  // Find new weak dipole.
  // Uses the size of dipEnd to tell whether a new dipole is added.
  unsigned int nDips = dipEnd.size();
  if (doWeakShower && (event[iNewNew].isQuark() || event[iNewNew].isLepton())
      && !(hasWeaklyRadiated && singleWeakEmission) 
      && (iSys == 0 || !partonSystemsPtr->hasInAB(iSys))) {
  
    if (weakMode == 0 || weakMode == 1)
      setupWeakdip( iSys, sizeOut, 1, event, true);
    // If added new dipole update the ME correction and me partner.
    if (nDips != dipEnd.size()) {
      nDips = dipEnd.size();
      dipEnd.back().MEtype = 200;
      dipEnd.back().iMEpartner = dipEnd.back().iRecoiler;
    }

    if (weakMode == 0 || weakMode == 2)
      setupWeakdip( iSys, sizeOut, 2, event, true);
    // If added new dipole, update the ME correction and me partner.
    if (nDips != dipEnd.size()) {
      nDips = dipEnd.size();
      dipEnd.back().MEtype = 205;
      dipEnd.back().iMEpartner = dipEnd.back().iRecoiler;
    }
  }

  // Start iterate over list of rescatterers - may be empty.
  int iRescNow = -1;
  while (++iRescNow < int(iRescatterer.size())) {

    // Identify systems that rescatterers belong to.
    int iOutNew    = iRescatterer[iRescNow];
    int iInNew     = event[iOutNew].daughter1();
    int iSysResc   = partonSystemsPtr->getSystemOf(iInNew, true);

    // Find new and old positions of incoming partons in the system.
    iNew.resize(0);
    iOld.resize(0);
    iNew.push_back( partonSystemsPtr->getInA(iSysResc) );
    iOld.push_back( event[iNew[0]].daughter1() );
    iNew.push_back( partonSystemsPtr->getInB(iSysResc) );
    iOld.push_back( event[iNew[1]].daughter1() );

    // Ditto for outgoing partons.
    sizeOut = partonSystemsPtr->sizeOut(iSysResc);
    for (int i = 0; i < sizeOut; ++i) {
      int iNow = partonSystemsPtr->getOut(iSysResc, i);
      iNew.push_back( iNow );
      iOld.push_back( event[iNow].mother1() );
      // Add non-final to list of rescatterers.
      if (!event[iNow].isFinal()) iRescatterer.push_back( iNow );
    }

    // Loop over all dipole ends belonging to the system
    // or to the recoil system, if different.
    for (int iDip = 0; iDip < int(dipEnd.size()); ++iDip)
    if (dipEnd[iDip].system == iSysResc
      || dipEnd[iDip].systemRec == iSysResc) {
      TimeDipoleEnd& dipNow = dipEnd[iDip];

      // Replace radiator (always in final state so simple).
      for (int i = 2; i < 2 + sizeOut; ++i)
      if (dipNow.iRadiator == iOld[i]) {
        dipNow.iRadiator = iNew[i];
        break;
      }

      // Replace ME partner (always in final state, if exists, so simple).
      for (int i = 2; i < 2 + sizeOut; ++i)
      if (dipNow.iMEpartner == iOld[i]) {
        dipNow.iMEpartner = iNew[i];
        break;
      }

      // Replace recoiler.
      for (int i = 0; i < 2 + sizeOut; ++i)
      if (dipNow.iRecoiler == iOld[i]) {
        dipNow.iRecoiler = iNew[i];
        break;
      }
    }

  // End iterate over list of rescatterers.
  }

}

//--------------------------------------------------------------------------

// Setup a dipole end for a QCD colour charge.

void TimeShower::setupQCDdip( int iSys, int i, int colTag, int colSign,
  Event& event, bool isOctetOnium, bool limitPTmaxIn) {
 
  // Initial values. Find if allowed to hook up beams.
  int iRad     = partonSystemsPtr->getOut(iSys, i);
  int iRec     = 0;
  int sizeAllA = partonSystemsPtr->sizeAll(iSys);
  int sizeOut  = partonSystemsPtr->sizeOut(iSys);
  int sizeAll  = ( allowBeamRecoil ) ? sizeAllA : sizeOut;
  int sizeIn   = sizeAll - sizeOut;
  int sizeInA  = sizeAllA - sizeIn - sizeOut;
  int iOffset  = i + sizeAllA - sizeOut;
  bool otherSystemRec = false;
  bool allowInitial   = (partonSystemsPtr->hasInAB(iSys)) ? true : false;
  // PS dec 2010: possibility to allow for several recoilers and each with
  // flexible normalization
  bool   isFlexible   = false;
  double flexFactor   = 1.0;
  vector iRecVec(0);

  // Colour: other end by same index in beam or opposite in final state.
  // Exclude rescattered incoming and not final outgoing.
  if (colSign > 0)
  for (int j = 0; j < sizeAll; ++j) if (j + sizeInA != iOffset) {
    int iRecNow = partonSystemsPtr->getAll(iSys, j + sizeInA);
    if ( ( j <  sizeIn && event[iRecNow].col()  == colTag
      && !event[iRecNow].isRescatteredIncoming() )
      || ( j >= sizeIn && event[iRecNow].acol() == colTag
      && event[iRecNow].isFinal() ) ) {
      iRec = iRecNow;
      break;
    }
  }
 
  // Anticolour: other end by same index in beam or opposite in final state.
  // Exclude rescattered incoming and not final outgoing.
  if (colSign < 0)
  for (int j = 0; j < sizeAll; ++j) if (j + sizeInA != iOffset) {
    int iRecNow = partonSystemsPtr->getAll(iSys, j + sizeInA);
    if ( ( j <  sizeIn && event[iRecNow].acol()  == colTag
      && !event[iRecNow].isRescatteredIncoming() )
      || ( j >= sizeIn && event[iRecNow].col() == colTag
      && event[iRecNow].isFinal() ) ) {
      iRec = iRecNow;
      break;
    }
  }

  // Resonance decays (= no instate):
  // other end to nearest recoiler in same system final state,
  // by (p_i + p_j)^2 - (m_i + m_j)^2 = 2 (p_i p_j - m_i m_j).
  // (junction colours more involved, so keep track if junction colour)
  bool hasJunction = false;
  if (iRec == 0 && !allowInitial) {
    for (int iJun = 0; iJun < event.sizeJunction(); ++ iJun) {
      // For types 1&2, all legs in final state
      // For types 3&4, two legs in final state
      // For types 5&6, one leg in final state
      int iBeg = (event.kindJunction(iJun)-1)/2;
      for (int iLeg = iBeg; iLeg < 3; ++iLeg)
        if (event.endColJunction( iJun, iLeg) == colTag) hasJunction  = true;
    }
    double ppMin = LARGEM2;
    for (int j = 0; j < sizeOut; ++j) if (j != i) {
        int iRecNow  = partonSystemsPtr->getOut(iSys, j);
        if (!event[iRecNow].isFinal()) continue;
        double ppNow = event[iRecNow].p() * event[iRad].p()
          - event[iRecNow].m() * event[iRad].m();
        if (ppNow < ppMin) {
          iRec  = iRecNow;
          ppMin = ppNow;
        }
      }
  }

  // If no success then look for matching (anti)colour anywhere in final state.
  if ( iRec == 0 || (!doInterleave && !event[iRec].isFinal()) ) {
    iRec = 0;
    for (int j = 0; j < event.size(); ++j) if (event[j].isFinal())
    if ( (colSign > 0 && event[j].acol() == colTag)
      || (colSign < 0 && event[j].col()  == colTag) ) {
      iRec = j;
      otherSystemRec = true;
      break;
    }

    // If no success then look for match to non-rescattered in initial state.
    if (iRec == 0 && allowInitial) {
      for (int iSysR = 0; iSysR < partonSystemsPtr->sizeSys(); ++iSysR)
      if (iSysR != iSys) {
        int j = partonSystemsPtr->getInA(iSysR);
        if (j > 0 && event[j].isRescatteredIncoming()) j = 0;
        if (j > 0 && ( (colSign > 0 && event[j].col() == colTag)
          || (colSign < 0 && event[j].acol()  == colTag) ) ) {
          iRec = j;
          otherSystemRec = true;
          break;
        }
        j = partonSystemsPtr->getInB(iSysR);
        if (j > 0 && event[j].isRescatteredIncoming()) j = 0;
        if (j > 0 && ( (colSign > 0 && event[j].col() == colTag)
          || (colSign < 0 && event[j].acol()  == colTag) ) ) {
          iRec = j;
          otherSystemRec = true;
          break;
        }
      }
    }
  }

  // Junctions (PS&ND dec 2010)
  // For types 1&2: all legs in final state
  //                half-strength dipoles between all legs
  // For types 3&4, two legs in final state
  //                full-strength dipole between final-state legs
  // For types 5&6, one leg in final state
  //                no final-state dipole end
  
  if (hasJunction) {
    for (int iJun = 0; iJun < event.sizeJunction(); ++ iJun) {
      int kindJun = event.kindJunction(iJun);
      int iBeg = (kindJun-1)/2;
      for (int iLeg = iBeg; iLeg < 3; ++iLeg) {
        if (event.endColJunction( iJun, iLeg) == colTag) {
          // For types 5&6, no other leg to recoil against. Switch off if
          // no other particles at all, since radiation then handled by ISR.
          // Example: qq -> ~t* : no radiation off ~t*
          // Allow radiation + recoil if unconnected partners available
          // Example: qq -> ~t* -> tbar ~chi0 : allow radiation off tbar,
          //                                    with ~chi0 as recoiler
          if (kindJun >= 5) {
            if (sizeOut == 1) return;
            else break;
          }
          // For junction types 3 & 4, span one full-strength dipole
          // (only look inside same decay system)
          else if (kindJun >= 3) {
            int iLegRec = 3-iLeg;
            int colTagRec = event.endColJunction( iJun, iLegRec);
            for (int j = 0; j < sizeOut; ++j) if (j != i) {
                int iRecNow  = partonSystemsPtr->getOut(iSys, j);
                if (!event[iRecNow].isFinal()) continue;
                if ( (colSign > 0 && event[iRecNow].col()  == colTagRec)
                  || (colSign < 0 && event[iRecNow].acol() == colTagRec) ) {
                  // Only accept if staying inside same system
                  iRec = iRecNow;
                  break;
                }
              }
          }
          // For junction types 1 & 2, span two half-strength dipoles
          // (only look inside same decay system)
          else {
            // Loop over two half-strength dipole connections
            for (int jLeg = 1; jLeg <= 2; jLeg++) {
              int iLegRec = (iLeg + jLeg) % 3;
              int colTagRec = event.endColJunction( iJun, iLegRec);
              for (int j = 0; j < sizeOut; ++j) if (j != i) {
                  int iRecNow  = partonSystemsPtr->getOut(iSys, j);
                  if (!event[iRecNow].isFinal()) continue;
                  if ( (colSign > 0 && event[iRecNow].col()  == colTagRec)
                    || (colSign < 0 && event[iRecNow].acol() == colTagRec) ) {
                    // Store recoilers in temporary array
                    iRecVec.push_back(iRecNow);
                    // Set iRec != 0 for checks below
                    iRec = iRecNow;
                  }
                }
            }
            
          }     // End if-then-else of junction kinds
          
        }       // End if leg has right color tag
      }         // End of loop over junction legs
    }           // End loop over junctions
    
  }             // End main junction if
  
  // If fail, then other end to nearest recoiler in same system final state,
  // by (p_i + p_j)^2 - (m_i + m_j)^2 = 2 (p_i p_j - m_i m_j).
  if (iRec == 0) {
    double ppMin = LARGEM2;
    for (int j = 0; j < sizeOut; ++j) if (j != i) {
      int iRecNow  = partonSystemsPtr->getOut(iSys, j);
      if (!event[iRecNow].isFinal()) continue;
      double ppNow = event[iRecNow].p() * event[iRad].p()
                   - event[iRecNow].m() * event[iRad].m();
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        ppMin = ppNow;
      }
    }
  }

  // If fail, then other end to nearest recoiler in any system final state,
  // by (p_i + p_j)^2 - (m_i + m_j)^2 = 2 (p_i p_j - m_i m_j).
  if (iRec == 0) {
    double ppMin = LARGEM2;
    for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
    if (iRecNow != iRad && event[iRecNow].isFinal()) {
      double ppNow = event[iRecNow].p() * event[iRad].p()
                   - event[iRecNow].m() * event[iRad].m();
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        otherSystemRec = true;
        ppMin = ppNow;
      }
    }
  }

  // PS dec 2010: make sure iRec is stored in iRecVec
  if (iRecVec.size() == 0 && iRec != 0) iRecVec.push_back(iRec);
    
  // Remove any zero recoilers from normalization
  int nRec = iRecVec.size();
  for (unsigned int mRec = 0; mRec < iRecVec.size(); ++mRec)
    if (iRecVec[mRec] <= 0) nRec--;
  if (nRec >= 2) {
    isFlexible = true;
    flexFactor = 1.0/nRec;
  }
  
  // Check for failure to locate any recoiler
  if ( nRec <= 0 ) {
    infoPtr->errorMsg("Error in TimeShower::setupQCDdip: "
                      "failed to locate any recoiling partner");
    return;
  }
  
  // Store dipole colour end(s).
  for (unsigned int mRec = 0; mRec < iRecVec.size(); ++mRec) {
    iRec = iRecVec[mRec];
    if (iRec <= 0) continue;
    // Max scale either by parton scale or by half dipole mass.
    double pTmax = event[iRad].scale();
    if (limitPTmaxIn) {
      if (iSys == 0 || (iSys == 1 && doSecondHard)) pTmax *= pTmaxFudge;
      else if (sizeIn > 0) pTmax *= pTmaxFudgeMPI;
    } else pTmax = 0.5 * m( event[iRad], event[iRec]);
    int colType  = (event[iRad].id() == 21) ? 2 * colSign : colSign;
    int isrType  = (event[iRec].isFinal()) ? 0 : event[iRec].mother1();
    // This line in case mother is a rescattered parton.
    while (isrType > 2 + beamOffset) isrType = event[isrType].mother1();
    if (isrType > 2) isrType -= beamOffset;
    dipEnd.push_back( TimeDipoleEnd( iRad, iRec, pTmax,
      colType, 0, 0, 0, isrType, iSys, -1, -1, 0, isOctetOnium) );

    // If hooked up with other system then find which.
    if (otherSystemRec) {
      int systemRec = partonSystemsPtr->getSystemOf(iRec, true);
      if (systemRec >= 0) dipEnd.back().systemRec = systemRec;
      dipEnd.back().MEtype = 0;
    }

    // PS dec 2010
    // If non-unity (flexible) normalization, set normalization factor
    if (isFlexible) {
      dipEnd.back().isFlexible = true;
      dipEnd.back().flexFactor = flexFactor;
    }
  }

}

//--------------------------------------------------------------------------

// Setup a dipole end for a QED colour charge or a photon.
// No failsafe choice of recoiler, so gradually widen search.

void TimeShower::setupQEDdip( int iSys, int i, int chgType, int gamType,
  Event& event, bool limitPTmaxIn) {

  // Initial values. Find if allowed to hook up beams.
  int iRad     = partonSystemsPtr->getOut(iSys, i);
  int idRad    = event[iRad].id();
  int iRec     = 0;
  int sizeAllA = partonSystemsPtr->sizeAll(iSys);
  int sizeOut  = partonSystemsPtr->sizeOut(iSys);
  int sizeAll  = ( allowBeamRecoil ) ? sizeAllA : sizeOut;
  int sizeIn   = sizeAll - sizeOut;
  int sizeInA  = sizeAllA - sizeIn - sizeOut;
  int iOffset  = i + sizeAllA - sizeOut;
  double ppMin = LARGEM2;
  bool hasRescattered = false;
  bool otherSystemRec = false;

  // Find nearest same- (opposide-) flavour recoiler in initial (final)
  // state of same system, excluding rescattered (in or out) partons.
  // Also find if system is involved in rescattering.
  // Note: (p_i + p_j)2 - (m_i + m_j)2 = 2 (p_i p_j - m_i m_j).
  for (int j = 0; j < sizeAll; ++j) if (j + sizeInA != iOffset) {
    int iRecNow  = partonSystemsPtr->getAll(iSys, j + sizeInA);
    if ( (j <  sizeIn && !event[iRecNow].isRescatteredIncoming())
      || (j >= sizeIn && event[iRecNow].isFinal()) ) {
      if ( (j <  sizeIn && event[iRecNow].id() ==  idRad)
        || (j >= sizeIn && event[iRecNow].id() == -idRad) ) {
        double ppNow = event[iRecNow].p() * event[iRad].p()
                     - event[iRecNow].m() * event[iRad].m();
        if (ppNow < ppMin) {
          iRec  = iRecNow;
          ppMin = ppNow;
        }
      }
    } else hasRescattered = true;
  }

  // If rescattering then find nearest opposite-flavour recoiler
  // anywhere in final state.
  if (iRec == 0 && hasRescattered) {
    for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
    if (event[iRecNow].id() == -idRad && event[iRecNow].isFinal()) {
      double ppNow = event[iRecNow].p() * event[iRad].p()
                   - event[iRecNow].m() * event[iRad].m();
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        ppMin = ppNow;
        otherSystemRec = true;
      }
    }
  }

  // Find nearest recoiler in same system, charge-squared-weighted,
  // including initial state, but excluding rescatterer.
  if (iRec == 0)
  for (int j = 0; j < sizeAll; ++j) if (j + sizeInA != iOffset) {
    int iRecNow = partonSystemsPtr->getAll(iSys, j + sizeInA);
    int chgTypeRecNow = event[iRecNow].chargeType();
    if (chgTypeRecNow == 0) continue;
    if ( (j <  sizeIn && !event[iRecNow].isRescatteredIncoming())
      || (j >= sizeIn && event[iRecNow].isFinal()) ) {
      double ppNow = (event[iRecNow].p() * event[iRad].p()
                   -  event[iRecNow].m() * event[iRad].m())
                   / pow2(chgTypeRecNow);
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        ppMin = ppNow;
      }
    }
  }

  // If rescattering then find nearest recoiler in the final state,
  // charge-squared-weighted.
  if (iRec == 0 && hasRescattered) {
    for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
    if (iRecNow != iRad && event[iRecNow].isFinal()) {
      int chgTypeRecNow = event[iRecNow].chargeType();
      if (chgTypeRecNow != 0 && event[iRecNow].isFinal()) {
        double ppNow = (event[iRecNow].p() * event[iRad].p()
                     -  event[iRecNow].m() * event[iRad].m())
                     / pow2(chgTypeRecNow);
        if (ppNow < ppMin) {
          iRec  = iRecNow;
          ppMin = ppNow;
          otherSystemRec = true;
        }
      }
    }
  }

  // Find any nearest recoiler in final state of same system.
  if (iRec == 0)
  for (int j = 0; j < sizeOut; ++j) if (j != i) {
    int iRecNow  = partonSystemsPtr->getOut(iSys, j);
    double ppNow = event[iRecNow].p() * event[iRad].p()
                 - event[iRecNow].m() * event[iRad].m();
    if (ppNow < ppMin) {
      iRec  = iRecNow;
      ppMin = ppNow;
    }
  }

  // Find any nearest recoiler in final state.
  if (iRec == 0)
  for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
  if (iRecNow != iRad && event[iRecNow].isFinal()) {
    double ppNow = event[iRecNow].p() * event[iRad].p()
                 - event[iRecNow].m() * event[iRad].m();
    if (ppNow < ppMin) {
      iRec  = iRecNow;
      ppMin = ppNow;
      otherSystemRec = true;
    }
  }

  // Fill charge-dipole or photon-dipole end.
  if (iRec > 0) {
    // Max scale either by parton scale or by half dipole mass.
    double pTmax = event[iRad].scale();
    if (limitPTmaxIn) {
      if (iSys == 0 || (iSys == 1 && doSecondHard)) pTmax *= pTmaxFudge;
      else if (sizeIn > 0) pTmax *= pTmaxFudgeMPI;
    } else pTmax = 0.5 * m( event[iRad], event[iRec]);
    int isrType = (event[iRec].isFinal()) ? 0 : event[iRec].mother1();
    // This line in case mother is a rescattered parton.
    while (isrType > 2 + beamOffset) isrType = event[isrType].mother1();
    if (isrType > 2) isrType -= beamOffset;
    dipEnd.push_back( TimeDipoleEnd(iRad, iRec, pTmax,
      0, chgType, gamType, 0, isrType, iSys, -1) );

    // If hooked up with other system then find which.
    if (otherSystemRec) {
      int systemRec = partonSystemsPtr->getSystemOf(iRec);
      if (systemRec >= 0) dipEnd.back().systemRec = systemRec;
      dipEnd.back().MEtype = 0;
    }

  // Failure to find other end of dipole.
  } else {
    infoPtr->errorMsg("Error in TimeShower::setupQEDdip: "
      "failed to locate any recoiling partner");
  }

}

//--------------------------------------------------------------------------

 // Setup a dipole end for weak W or Z emission.

void TimeShower::setupWeakdip( int iSys, int i, int weakType, Event& event,
  bool limitPTmaxIn) {

  // Initial values. Find if allowed to hook up beams.
  int iRad     = partonSystemsPtr->getOut(iSys, i);
  int idRad    = event[iRad].id();
  int iRec     = 0;
  int sizeAllA = partonSystemsPtr->sizeAll(iSys);
  int sizeOut  = partonSystemsPtr->sizeOut(iSys);
  // Only allow weak dipoles to take outgoing particles as recoiler.
  int sizeAll  = sizeOut;
  int sizeIn   = sizeAll - sizeOut;
  int sizeInA  = sizeAllA - sizeIn - sizeOut;
  int iOffset  = i + sizeAllA - sizeOut;
  double ppMin = LARGEM2;
  bool hasRescattered = false;
  bool otherSystemRec = false;
  
  // Find nearest same- (opposide-) flavour recoiler in initial (final)
  // state of same system, excluding rescattered (in or out) partons.
  // Also find if system is involved in rescattering.
  // Note: (p_i + p_j)2 - (m_i + m_j)2 = 2 (p_i p_j - m_i m_j).
  for (int j = 0; j < sizeAll; ++j)
    if (j + sizeInA != iOffset) {
      int iRecNow  = partonSystemsPtr->getAll(iSys, j + sizeInA);
      if ( (j <  sizeIn && !event[iRecNow].isRescatteredIncoming())
        || (j >= sizeIn && event[iRecNow].isFinal()) ) {
        if ( (j <  sizeIn && event[iRecNow].id() ==  idRad)
          || (j >= sizeIn && event[iRecNow].id() == -idRad) ) {
          double ppNow = event[iRecNow].p() * event[iRad].p()
                       - event[iRecNow].m() * event[iRad].m();
          if (ppNow < ppMin) {
          iRec  = iRecNow;
          ppMin = ppNow;
          }
        }
      } else hasRescattered = true;
    }
  
  // If rescattering then find nearest opposite-flavour recoiler
  // anywhere in final state.
  if (iRec == 0 && hasRescattered) {
    for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
    if (event[iRecNow].id() == -idRad && event[iRecNow].isFinal()) {
      double ppNow = event[iRecNow].p() * event[iRad].p()
                   - event[iRecNow].m() * event[iRad].m();
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        ppMin = ppNow;
        otherSystemRec = true;
      }
    }
  }
  
  // Find nearest recoiler in same system, weak-charge-squared-weighted,
  // including initial state, but excluding rescatterer.
  if (iRec == 0)
  for (int j = 0; j < sizeAll; ++j) if (j + sizeInA != iOffset) {
    int iRecNow = partonSystemsPtr->getAll(iSys, j + sizeInA);
    if (abs(event[iRecNow].id()) >= 20 || weakType < 1
      || weakType > 2) continue;
    double weakCoupNow = 1.;
    if (weakType == 2) weakCoupNow = coupSMPtr->vf2(event[iRecNow].idAbs())
      + coupSMPtr->af2(event[iRecNow].idAbs());
    if ( (j <  sizeIn && !event[iRecNow].isRescatteredIncoming())
      || (j >= sizeIn && event[iRecNow].isFinal()) ) {
      double ppNow = (event[iRecNow].p() * event[iRad].p()
                   -  event[iRecNow].m() * event[iRad].m()) / weakCoupNow;
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        ppMin = ppNow;
      }
    }
  }

  // If rescattering then find nearest recoiler in the final state,
  // weak-charge-squared-weighted.
  if (iRec == 0 && hasRescattered) {
    for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
    if (iRecNow != iRad && event[iRecNow].isFinal()) {
      if (abs(event[iRecNow].id()) >= 20 || weakType < 1
        || weakType > 2) continue;
      double weakCoupNow = 1.;
      if (weakType == 2) weakCoupNow = coupSMPtr->vf2(event[iRecNow].idAbs())
        + coupSMPtr->af2(event[iRecNow].idAbs());
      double ppNow = (event[iRecNow].p() * event[iRad].p()
                   - event[iRecNow].m() * event[iRad].m()) / weakCoupNow;
      if (ppNow < ppMin) {
        iRec  = iRecNow;
        ppMin = ppNow;
        otherSystemRec = true;
      }
    }
  }
  
  // Find any nearest recoiler in final state of same system.
  if (iRec == 0)
  for (int j = 0; j < sizeOut; ++j) if (j != i) {
    int iRecNow  = partonSystemsPtr->getOut(iSys, j);
    double ppNow = event[iRecNow].p() * event[iRad].p()
                 - event[iRecNow].m() * event[iRad].m();
    if (ppNow < ppMin) {
      iRec  = iRecNow;
      ppMin = ppNow;
    }
  }

  // Find any nearest recoiler in final state.
  if (iRec == 0)
  for (int iRecNow = 0; iRecNow < event.size(); ++iRecNow)
  if (iRecNow != iRad && event[iRecNow].isFinal()) {
    double ppNow = event[iRecNow].p() * event[iRad].p()
                 - event[iRecNow].m() * event[iRad].m();
    if (ppNow < ppMin) {
      iRec  = iRecNow;
      ppMin = ppNow;
      otherSystemRec = true;
    }
  }

  // Fill in weak dipole-end.
  if (iRec > 0) {

    // Calculate 2 -> 2 kinematics, needed for finding ISR fermion line.
    Vec4 p3weak = event[3].p();
    Vec4 p4weak = event[4].p();
    double tHat = (event[iRad].p() - p3weak).m2Calc();
    double uHat = (event[iRad].p() - p4weak).m2Calc();

    // Find correct helicity.
    int weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
    // Check if particle has already gotten a helicity.
    if (event[iRad].pol() == 1 || event[iRad].pol() == -1)
      weakPol = event[iRad].pol();
    // If particle come from ISR radiation.
    else if (event[iRad].statusAbs() > 40) {
      if (event[event[iRad].mother1()].idAbs() < 20)
        weakPol = event[event[iRad].mother1()].pol();
      else if ((int)event[iRad].sisterList(true).size() != 0)
        weakPol = event[event[iRad].sisterList(true)[0]].pol();
    }
    // If it is not a 2 to 2 process, always use recoiler.
    else if (infoPtr->nFinal() != 2) {
      if (event[iRec].pol() == 1 || event[iRec].pol() == -1)
        weakPol = event[iRec].pol();
    }
    // If s-channel, choose same spin as recoiler.
    else if (idRad == - event[iRec].id()) {
      if (event[iRec].pol() == 1 || event[iRec].pol() == -1)
        weakPol = event[iRec].pol();
    }
    // if W-decay, choose always left handed.
    else if (event[event[iRad].mother1()].idAbs() == 24) weakPol = -1;
    // If four particles of the same type.
    else if (idRad == event[iRec].id()) {
      if (uHat*uHat/(tHat*tHat + uHat*uHat) > 0.5) weakPol = event[3].pol();
      else weakPol = event[4].pol();
    }
    // For different particle types, choose correct fermion line.
    else if (event[3].id() == idRad) weakPol = event[3].pol();
    else if (event[4].id() == idRad) weakPol = event[4].pol();
    // If weak ISR is turned off, this would try to use polarization
    // that is not set as expected. In this case use random polarization.
    if (weakPol > 1) weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
    event[iRad].pol(weakPol);
    
    // Max scale either by parton scale or by half dipole mass.
    double pTmax = event[iRad].scale();
    if (limitPTmaxIn) {
      if (iSys == 0) pTmax *= pTmaxFudge;
      if (iSys > 0 && sizeIn > 0) pTmax *= pTmaxFudgeMPI;
    } else pTmax = 0.5 * m( event[iRad], event[iRec]);
    int isrType = (event[iRec].isFinal()) ? 0 : event[iRec].mother1();
    // This line in case mother is a rescattered parton.
    while (isrType > 2 + beamOffset) isrType = event[isrType].mother1();
    if (isrType > 2) isrType -= beamOffset;
    // No right-handed W emission.

    if (weakType == 1 && weakPol == 1) return;
    dipEnd.push_back( TimeDipoleEnd(iRad, iRec, pTmax,
      0, 0, 0, weakType, isrType, iSys, -1, -1, weakPol) );

    // If hooked up with other system then find which.
    if (otherSystemRec) {
      int systemRec = partonSystemsPtr->getSystemOf(iRec);
      if (systemRec >= 0) dipEnd.back().systemRec = systemRec;
      dipEnd.back().MEtype = 0;
    }

  // Failure to find other end of dipole.
  } else {
    infoPtr->errorMsg("Error in TimeShower::setupWeakdip: "
      "failed to locate any recoiling partner");
  }
}

//--------------------------------------------------------------------------

// Setup a dipole end for a Hidden Valley colour charge.

void TimeShower::setupHVdip( int iSys, int i, Event& event,
  bool limitPTmaxIn) {
 
  // Initial values.
  int iRad    = partonSystemsPtr->getOut(iSys, i);
  int iRec    = 0;
  int idRad   = event[iRad].id();
  int sizeOut = partonSystemsPtr->sizeOut(iSys);

  // Hidden Valley colour positive for positive id, and vice versa.
  // Find opposte HV colour in final state of same system.
  for (int j = 0; j < sizeOut; ++j) if (j != i) {
    int iRecNow = partonSystemsPtr->getOut(iSys, j);
    int idRec   = event[iRecNow].id();
    if ( (abs(idRec) > 4900000 && abs(idRec) < 4900017)
      && idRad * idRec < 0) {
      iRec = iRecNow;
      break;
    }
  }

  // Else find heaviest other final-state in same system.
  // (Intended for decays; should mainly be two-body so unique.)
  double mMax = -sqrt(LARGEM2);
   if (iRec == 0)
  for (int j = 0; j < sizeOut; ++j) if (j != i) {
    int iRecNow = partonSystemsPtr->getOut(iSys, j);
    if (event[iRecNow].m() > mMax) {
      iRec = iRecNow;
      mMax = event[iRecNow].m();
    }
  }

  // Set up dipole end, or report failure.
  if (iRec > 0) {
    // Max scale either by parton scale or by half dipole mass.
    double pTmax = event[iRad].scale();
    if (limitPTmaxIn) {
      if (iSys == 0 || (iSys == 1 && doSecondHard)) pTmax *= pTmaxFudge;
    } else pTmax = 0.5 * m( event[iRad], event[iRec]);
    int colvType  = (event[iRad].id() > 0) ? 1 : -1;
    dipEnd.push_back( TimeDipoleEnd( iRad, iRec, pTmax, 0, 0, 0, 0, 0,
      iSys, -1, -1, 0, false, true, colvType) );
  } else infoPtr->errorMsg("Error in TimeShower::setupHVdip: "
      "failed to locate any recoiling partner");

}

//--------------------------------------------------------------------------

// Select next pT in downwards evolution of the existing dipoles.

double TimeShower::pTnext( Event& event, double pTbegAll, double pTendAll,
  bool isFirstTrial) {

  // Begin loop over all possible radiating dipole ends.
  dipSel  = 0;
  iDipSel = -1;
  double pT2sel = pTendAll * pTendAll;

  for (int iDip = 0; iDip < int(dipEnd.size()); ++iDip) {
    TimeDipoleEnd& dip = dipEnd[iDip];

    // Check if global recoil should be used.
    useLocalRecoilNow = !(globalRecoil && dip.system == 0
      && partonSystemsPtr->sizeOut(0) <= nMaxGlobalRecoil);

    // Do not use global recoil if the radiator line has already branched.
    if (globalRecoilMode == 1) {
      if (globalRecoil) useLocalRecoilNow = true;
      for (int iHard = 0; iHard < int(hardPartons.size()); ++iHard)
        if ( event[dip.iRadiator].isAncestor(hardPartons[iHard]) )
          useLocalRecoilNow = false;
      // Check if global recoil should be used.
      if ( !globalRecoil || nGlobal >= nMaxGlobalBranch )
        useLocalRecoilNow = true;

    // Switch off global recoil after first trial emission.
    } else if (globalRecoilMode == 2) {
      useLocalRecoilNow = !(globalRecoil && dip.system == 0
        && nGlobal <= nMaxGlobalBranch);
      int nFinal = 0;
      for (int k = 0; k < int(event.size()); ++k)
        if ( event[k].isFinal() && event[k].colType() != 0) nFinal++;
      bool isFirst = (nHard == nFinal);
      // Switch off global recoil after first emission
      if ( globalRecoil && doInterleave && !isFirst )
        useLocalRecoilNow = true;
      if ( globalRecoil && nProposed > 0 )
        useLocalRecoilNow = true;
      // No global recoil for H-events.
      if ( nFinalBorn > 0 && nHard > nFinalBorn )
        useLocalRecoilNow = true;
    }
   
    // Dipole properties; normal local recoil.
    dip.mRad   = event[dip.iRadiator].m();
    if (useLocalRecoilNow) {
      dip.mRec = event[dip.iRecoiler].m();
      dip.mDip = m( event[dip.iRadiator], event[dip.iRecoiler] );

    // Dipole properties, alternative global recoil. Squares.
    } else {
      Vec4 pSumGlobal;
      for (int i = 0; i < partonSystemsPtr->sizeOut( dip.system); ++i) {
        int ii = partonSystemsPtr->getOut( dip.system, i);
        if (ii !=  dip.iRadiator) pSumGlobal += event[ii].p();
      }
      dip.mRec = pSumGlobal.mCalc();
      dip.mDip = m( event[dip.iRadiator].p(), pSumGlobal);
    }
    dip.m2Rad  = pow2(dip.mRad);
    dip.m2Rec  = pow2(dip.mRec);
    dip.m2Dip  = pow2(dip.mDip);

    // Find maximum evolution scale for dipole.
    dip.m2DipCorr    = pow2(dip.mDip - dip.mRec) - dip.m2Rad;
    double pTbegDip = min( pTbegAll, dip.pTmax );
    double pT2begDip = min( pow2(pTbegDip), 0.25 * dip.m2DipCorr);

    // For global recoil, always set the starting scale for first emission.
    bool isFirstWimpy = !useLocalRecoilNow && (pTmaxMatch == 1)
                      && (nProposed == 0 || isFirstTrial);
    double muQ        = (infoPtr->scalup() > 0.) ? infoPtr->scalup()
                      : infoPtr->QFac();
    if (isFirstWimpy && !limitMUQ) pT2begDip = pow2(muQ);
    else if (isFirstWimpy && limitMUQ) {
      // Find mass of colour dipole.
      double mS   = event[dip.iRecoiler].m();
      double mD   = m( event[dip.iRadiator], event[dip.iRecoiler] );
      double m2DC = pow2(mD - mS) - pow2(dip.mRad);
      // Choose minimal scale.
      pT2begDip = min( pow2(muQ), min(pow2(pTbegDip), 0.25 * m2DC) );
    }

    // Do not try splitting if the corrected dipole mass is negative.
    dip.pT2 = 0.;
    if (dip.m2DipCorr < 0.) {
      infoPtr->errorMsg("Warning in TimeShower::pTnext: "
      "negative dipole mass.");
      continue;
    }

    // Do QCD, QED, weak or HV evolution if it makes sense.
    if (pT2begDip > pT2sel) {
      if      (dip.colType != 0)
        pT2nextQCD(pT2begDip, pT2sel, dip, event);
      else if (dip.chgType != 0 || dip.gamType != 0)
        pT2nextQED(pT2begDip, pT2sel, dip, event);
      else if (dip.weakType != 0)
        pT2nextWeak(pT2begDip, pT2sel, dip, event);
      else if (dip.colvType != 0)
        pT2nextHV(pT2begDip, pT2sel, dip, event);

      // Update if found larger pT than current maximum.
      if (dip.pT2 > pT2sel) {
        pT2sel  = dip.pT2;
        dipSel  = &dip;
        iDipSel = iDip;
      }
    }
  }

  // Update the number of proposed timelike emissions.
  if (dipSel != 0) ++nProposed;

  // Return nonvanishing value if found pT bigger than already found.
  return (dipSel == 0) ? 0. : sqrt(pT2sel);

}

//--------------------------------------------------------------------------

// Evolve a QCD dipole end.

void TimeShower::pT2nextQCD(double pT2begDip, double pT2sel,
  TimeDipoleEnd& dip, Event& event) {

  // Lower cut for evolution. Return if no evolution range.
  double pT2endDip = max( pT2sel, pT2colCut );
  if (pT2begDip < pT2endDip) return;

  // Upper estimate for matrix element weighting and colour factor.
  // Special cases for triplet recoiling against gluino and octet onia.
  // Note that g -> g g and g -> q qbar are split on two sides.
  int    colTypeAbs = abs(dip.colType);
  double wtPSglue   = 2.;
  double colFac     = (colTypeAbs == 1) ? 4./3. : 3./2.;
  if (dip.MEgluinoRec)  colFac  = 3.;
  if (dip.isOctetOnium) colFac *= 0.5 * octetOniumColFac;
  // PS dec 2010. Include possibility for flexible normalization,
  // e.g., for dipoles stretched to junctions or to switch off radiation.
  if (dip.isFlexible)   colFac *= dip.flexFactor;
  double wtPSqqbar  = (colTypeAbs == 2) 
    ? 0.25 * nGluonToQuark * extraGluonToQuark : 0.;
  
  // Variables used inside evolution loop. (Mainly dummy start values.)
  dip.pT2              = pT2begDip;
  int    nFlavour      = 3;
  double zMinAbs       = 0.5;
  double pT2min        = pT2endDip;
  double b0            = 4.5;
  double Lambda2       = Lambda3flav2;
  double emitCoefGlue  = 0.;
  double emitCoefQqbar = 0.;
  double emitCoefTot   = 0.;
  double wt            = 0.;
  bool   mustFindRange = true;
  
  // Begin evolution loop towards smaller pT values.
  do {

    // Initialize evolution coefficients at the beginning and
    // reinitialize when crossing c and b flavour thresholds.
    if (mustFindRange) {

      // Determine overestimated z range; switch at c and b masses.
      if (dip.pT2 > m2b) {
        nFlavour = 5;
        pT2min   = max( m2b, pT2endDip);
        b0       = 23./6.;
        Lambda2  = Lambda5flav2;
      } else if (dip.pT2 > m2c) {
        nFlavour = 4;
        pT2min   = max( m2c, pT2endDip);
        b0       = 25./6.;
        Lambda2  = Lambda4flav2;
      } else {
        nFlavour = 3;
        pT2min   = pT2endDip;
        b0       = 27./6.;
        Lambda2  = Lambda3flav2;
      }
      // A change of renormalization scale expressed by a change of Lambda.
      Lambda2 /= renormMultFac;

      // Calculate allowed z range; fail if it is too tiny.
      zMinAbs = 0.5 - sqrtpos( 0.25 - pT2min / dip.m2DipCorr );
      if (zMinAbs < SIMPLIFYROOT) zMinAbs = pT2min / dip.m2DipCorr;
      if (zMinAbs > 0.499) { dip.pT2 = 0.; return; }

      // Find emission coefficients for X -> X g and g -> q qbar.
      emitCoefGlue = wtPSglue * colFac * log(1. / zMinAbs - 1.);
      emitCoefTot  = emitCoefGlue;
      if (colTypeAbs == 2 && event[dip.iRadiator].id() == 21) {
        emitCoefQqbar = wtPSqqbar * (1. - 2. * zMinAbs);
        emitCoefTot  += emitCoefQqbar;
      }

      // Initialization done for current range.
      mustFindRange = false;
    }

    // Pick pT2 (in overestimated z range) for fixed alpha_strong.
    if (alphaSorder == 0) {
      dip.pT2 = dip.pT2 * pow( rndmPtr->flat(),
        1. / (alphaS2pi * emitCoefTot) );

    // Ditto for first-order alpha_strong.
    } else if (alphaSorder == 1) {
      dip.pT2 = Lambda2 * pow( dip.pT2 / Lambda2,
        pow( rndmPtr->flat(), b0 / emitCoefTot) );

      // For second order reject by second term in alpha_strong expression.
    } else {
      do dip.pT2 = Lambda2 * pow( dip.pT2 / Lambda2,
        pow( rndmPtr->flat(), b0 / emitCoefTot) );
      while (alphaS.alphaS2OrdCorr(renormMultFac * dip.pT2) < rndmPtr->flat()
        && dip.pT2 > pT2min);
    }
    wt = 0.;
  
    // If crossed c or b thresholds: continue evolution from threshold.
    if (nFlavour == 5 && dip.pT2 < m2b) {
      mustFindRange = true;
      dip.pT2       = m2b;
    } else if ( nFlavour == 4 && dip.pT2 < m2c) {
      mustFindRange = true;
      dip.pT2       = m2c;

    // Abort evolution if below cutoff scale, or below another branching.
    } else {
      if ( dip.pT2 < pT2endDip) { dip.pT2 = 0.; return; }

      // Pick kind of branching: X -> X g or g -> q qbar.
      dip.flavour  = 21;
      dip.mFlavour = 0.;
      if (colTypeAbs == 2 && emitCoefQqbar > rndmPtr->flat()
        * emitCoefTot) dip.flavour = 0;

      // Pick z: either dz/(1-z) or flat dz.
      if (dip.flavour == 21) {
        dip.z = 1. - zMinAbs * pow( 1. / zMinAbs - 1., rndmPtr->flat() );
      } else {
        dip.z = zMinAbs + (1. - 2. * zMinAbs) * rndmPtr->flat();
      }
  
      // Do not accept branching if outside allowed z range.
      double zMin = 0.5 - sqrtpos( 0.25 - dip.pT2 / dip.m2DipCorr );
      if (zMin < SIMPLIFYROOT) zMin = dip.pT2 / dip.m2DipCorr;
      dip.m2 = dip.m2Rad + dip.pT2 / (dip.z * (1. - dip.z));
      if (dip.z > zMin && dip.z < 1. - zMin
        && dip.m2 * dip.m2Dip < dip.z * (1. - dip.z)
        * pow2(dip.m2Dip + dip.m2 - dip.m2Rec) ) {

        // Flavour choice for g -> q qbar.
        if (dip.flavour == 0) {
          dip.flavour  = min(5, 1 + int(nGluonToQuark * rndmPtr->flat()));
          dip.mFlavour = particleDataPtr->m0(dip.flavour);
        }

        // No z weight, except threshold, if to do ME corrections later on.
        if (dip.MEtype > 0) {
          wt = 1.;
          if (dip.flavour < 10 && dip.m2 < THRESHM2 * pow2(dip.mFlavour))
            wt = 0.;

        // z weight for X -> X g.
        } else if (dip.flavour == 21
          && (colTypeAbs == 1 || colTypeAbs == 3) ) {
          wt = (1. + pow2(dip.z)) / wtPSglue;
        } else if (dip.flavour == 21) {
          wt = (1. + pow3(dip.z)) / wtPSglue;
           
        // z weight for g -> q qbar: different options.
        } else {
          double ratioQ = pow2(dip.mFlavour) / dip.m2; 
          double betaQ  = sqrtpos( 1. - 4. * ratioQ );
          if (weightGluonToQuark%4 == 1) {
            wt = betaQ * ( pow2(dip.z) + pow2(1. - dip.z) );
          } else if (weightGluonToQuark%4 == 2) {
            wt = betaQ * ( pow2(dip.z) + pow2(1. - dip.z)
               + 8. * ratioQ * dip.z * (1. - dip.z) );
          } else {
            double m2Rat = dip.m2 / dip.m2DipCorr;
            double zCosThe = ((1. + m2Rat) * dip.z - m2Rat) / (1. - m2Rat);
            wt = betaQ * ( pow2(zCosThe) + pow2(1. - zCosThe)
               + 8. * ratioQ * zCosThe * (1. - zCosThe) )
               * (1. + m2Rat) / ((1. - m2Rat) * extraGluonToQuark) ;
            if (weightGluonToQuark%4 == 0) wt *= pow3(1. - m2Rat);
          }
          if (weightGluonToQuark > 4 && alphaSorder > 0)
            wt *= log(dip.pT2 / Lambda2)
                / log(scaleGluonToQuark * dip.m2 / Lambda2);
        }

        // Suppression factors for dipole to beam remnant.
        if (dip.isrType != 0 && useLocalRecoilNow) {
          BeamParticle& beam = (dip.isrType == 1) ? *beamAPtr : *beamBPtr;
          int iSysRec = dip.systemRec;
          double xOld = beam[iSysRec].x();
          double xNew = xOld * (1. + (dip.m2 - dip.m2Rad) /
            (dip.m2Dip - dip.m2Rad));
          double xMaxAbs = beam.xMax(iSysRec);
          if (xMaxAbs < 0.) {
            infoPtr->errorMsg("Warning in TimeShower::pT2nextQCD: "
            "xMaxAbs negative");
            return;
          }
 
          // Firstly reduce by PDF ratio.
          if (xNew > xMaxAbs) wt = 0.;
          else {
            int idRec     = event[dip.iRecoiler].id();
            pdfScale2 = (useFixedFacScale) ? fixedFacScale2
              : factorMultFac * dip.pT2;
            double pdfOld = max ( TINYPDF,
              beam.xfISR( iSysRec, idRec, xOld, pdfScale2) );
            double pdfNew =
              beam.xfISR( iSysRec, idRec, xNew, pdfScale2);
            wt *= min( 1., pdfNew / pdfOld);
          }

          // Secondly optionally reduce by 4 pT2_hard / (4 pT2_hard + m2).
          if (dampenBeamRecoil) {
            double pTpT = sqrt(event[dip.iRadiator].pT2() * dip.pT2);
            wt *= pTpT / (pTpT + dip.m2);
          }
        }

        // Optional dampening of large pT values in hard system.
        if (dopTdamp && dip.system == 0 && dip.MEtype == 0)
          wt *= pT2damp / (dip.pT2 + pT2damp);
      }
    }

  // Iterate until acceptable pT (or have fallen below pTmin).
  } while (wt < rndmPtr->flat());

}

//--------------------------------------------------------------------------

// Evolve a QED dipole end, either charged or photon.

void TimeShower::pT2nextQED(double pT2begDip, double pT2sel,
  TimeDipoleEnd& dip, Event& event) {

  // Lower cut for evolution. Return if no evolution range.
  double pT2chgCut = (dip.chgType != 0 && abs(dip.chgType) != 3)
    ? pT2chgQCut : pT2chgLCut;
  double pT2endDip = max( pT2sel, pT2chgCut );
  if (pT2begDip < pT2endDip) return;

  // Emission of photon or photon branching.
  bool hasCharge = (dip.chgType != 0);

  // Default values.
  double wtPSgam     = 0.;
  double chg2Sum     = 0.;
  double chg2SumL    = 0.;
  double chg2SumQ    = 0.;
  double zMinAbs     = 0.;
  double emitCoefTot = 0.;

  // alpha_em at maximum scale provides upper estimate.
  double alphaEMmax  = alphaEM.alphaEM(renormMultFac * dip.m2DipCorr);
  double alphaEM2pi  = alphaEMmax / (2. * M_PI);

  // Emission: upper estimate for matrix element weighting; charge factor.
  if (hasCharge) {
    wtPSgam     = 2.;
    double chg2 = pow2(dip.chgType / 3.);

    // Determine overestimated z range. Find evolution coefficient.
    zMinAbs = 0.5 - sqrtpos( 0.25 - pT2endDip / dip.m2DipCorr );
    if (zMinAbs < SIMPLIFYROOT) zMinAbs = pT2endDip / dip.m2DipCorr;
    emitCoefTot = alphaEM2pi * chg2 * wtPSgam * log(1. / zMinAbs - 1.);

  // Branching: sum of squared charge factors for lepton and quark daughters.
  } else {
    chg2SumL = max(0, min(3, nGammaToLepton));
    if      (nGammaToQuark > 4) chg2SumQ = 11. / 9.;
    else if (nGammaToQuark > 3) chg2SumQ = 10. / 9.;
    else if (nGammaToQuark > 2) chg2SumQ =  6. / 9.;
    else if (nGammaToQuark > 1) chg2SumQ =  5. / 9.;
    else if (nGammaToQuark > 0) chg2SumQ =  1. / 9.;

    // Total sum of squared charge factors. Find evolution coefficient.
    chg2Sum     = chg2SumL + 3. * chg2SumQ;
    emitCoefTot = alphaEM2pi * chg2Sum * extraGluonToQuark;
  }
  
  // Variables used inside evolution loop.
  dip.pT2 = pT2begDip;
  double wt;
  
  // Begin evolution loop towards smaller pT values.
  do {
 
    // Pick pT2 (in overestimated z range).
    dip.pT2 = dip.pT2 * pow(rndmPtr->flat(), 1. / emitCoefTot);
    wt = 0.;

    // Abort evolution if below cutoff scale, or below another branching.
    if ( dip.pT2 < pT2endDip) { dip.pT2 = 0.; return; }

    // Pick z according to dz/(1-z) or flat.
    if (hasCharge) dip.z = 1. - zMinAbs
      * pow( 1. / zMinAbs - 1., rndmPtr->flat() );
    else           dip.z = rndmPtr->flat();
  
    // Do not accept branching if outside allowed z range.
    double zMin = 0.5 - sqrtpos( 0.25 - dip.pT2 / dip.m2DipCorr );
    if (zMin < SIMPLIFYROOT) zMin = dip.pT2 / dip.m2DipCorr;
    if (dip.z <= zMin || dip.z >= 1. - zMin) continue;
    dip.m2 = dip.m2Rad + dip.pT2 / (dip.z * (1. - dip.z));
    if (dip.m2 * dip.m2Dip < dip.z * (1. - dip.z)
        * pow2(dip.m2Dip + dip.m2 - dip.m2Rec)
      // For gamma -> f fbar also impose maximum mass.
      && (hasCharge || dip.m2 < m2MaxGamma) ) {

      // Photon emission: unique flavour choice.
      if (hasCharge) {
        dip.flavour = 22;
        dip.mFlavour = 0.;

      // Photon branching: either lepton or quark flavour choice.
      } else {
        if (rndmPtr->flat() * chg2Sum < chg2SumL)
          dip.flavour  = 9 + 2 * min(3, 1 + int(chg2SumL * rndmPtr->flat()));
        else {
          double rndmQ = 9. * chg2SumQ * rndmPtr->flat();
          if      (rndmQ <  1.) dip.flavour = 1;
          else if (rndmQ <  5.) dip.flavour = 2;
          else if (rndmQ <  6.) dip.flavour = 3;
          else if (rndmQ < 10.) dip.flavour = 4;
          else                  dip.flavour = 5;
        }
        dip.mFlavour = particleDataPtr->m0(dip.flavour);
      }

      // No z weight, except threshold, if to do ME corrections later on.
      if (dip.MEtype > 0) {
        wt = 1.;
        if (dip.flavour < 20 && dip.m2 < THRESHM2 * pow2(dip.mFlavour))
          wt = 0.;

      // z weight for X -> X gamma.
      } else if (hasCharge) {
        wt = (1. + pow2(dip.z)) / wtPSgam;

      // z weight for gamma -> f fbar; different options.
      } else {
        double ratioF = pow2(dip.mFlavour) / dip.m2; 
        double betaF  = sqrtpos( 1. - 4. * ratioF );
        if (weightGluonToQuark%4 == 1) {
          wt = betaF * ( pow2(dip.z) + pow2(1. - dip.z) );
        } else if (weightGluonToQuark%4 == 2) {
          wt = betaF * ( pow2(dip.z) + pow2(1. - dip.z)
             + 8. * ratioF * dip.z * (1. - dip.z) );
        } else {
          double m2Rat = dip.m2 / dip.m2DipCorr;
          double zCosThe = ((1. + m2Rat) * dip.z - m2Rat) / (1. - m2Rat);
          wt = betaF * ( pow2(zCosThe) + pow2(1. - zCosThe)
             + 8. * ratioF * zCosThe * (1. - zCosThe) )
             * (1. + m2Rat) / ((1. - m2Rat) * extraGluonToQuark) ;
          if (weightGluonToQuark%4 == 0) wt *= pow3(1. - m2Rat);
        }
      }

      // Correct to current value of alpha_EM.
      double aEMscale = dip.pT2;
      if (dip.flavour < 20 && weightGluonToQuark > 4)
        aEMscale = scaleGluonToQuark * dip.m2;
      double alphaEMnow = alphaEM.alphaEM(renormMultFac * aEMscale);
      wt *= (alphaEMnow / alphaEMmax);

      // Suppression factors for dipole to beam remnant.
      if (dip.isrType != 0 && useLocalRecoilNow) {
        BeamParticle& beam = (dip.isrType == 1) ? *beamAPtr : *beamBPtr;
        int iSys    = dip.system;
        double xOld = beam[iSys].x();
        double xNew = xOld * (1. + (dip.m2 - dip.m2Rad) /
          (dip.m2Dip - dip.m2Rad));
        double xMaxAbs = beam.xMax(iSys);
        if (xMaxAbs < 0.) {
          infoPtr->errorMsg("Warning in TimeShower::pT2nextQED: "
          "xMaxAbs negative");
          return;
        }
 
        // Firstly reduce by PDF ratio.
        if (xNew > xMaxAbs) wt = 0.;
        else {
          int idRec     = event[dip.iRecoiler].id();
          pdfScale2 = (useFixedFacScale) ? fixedFacScale2
            : factorMultFac * dip.pT2;
          double pdfOld = max ( TINYPDF,
            beam.xfISR( iSys, idRec, xOld, pdfScale2) );
          double pdfNew =
            beam.xfISR( iSys, idRec, xNew, pdfScale2);
          wt *= min( 1., pdfNew / pdfOld);
        }

        // Secondly optionally reduce by 4 pT2_hard / (4 pT2_hard + m2).
        if (dampenBeamRecoil) {
          double pT24 = 4. * event[dip.iRadiator].pT2();
          wt *= pT24 / (pT24 + dip.m2);
        }
      }

      // Optional dampening of large pT values in hard system.
      if (dopTdamp && dip.system == 0 && dip.MEtype == 0)
        wt *= pT2damp / (dip.pT2 + pT2damp);
    }

  // Iterate until acceptable pT (or have fallen below pTmin).
  } while (wt < rndmPtr->flat());

}

//--------------------------------------------------------------------------

// Evolve a weak-emission dipole end.

void TimeShower::pT2nextWeak(double pT2begDip, double pT2sel,
  TimeDipoleEnd& dip, Event& event) {
 
  // Lower cut for evolution. Return if no evolution range.
  double pT2endDip = max( pT2sel, pT2weakCut );
  if (pT2begDip < pT2endDip) return;
  
  // Default values.
  double wtPSgam     = 0.;
  double zMinAbs     = 0.;
  double emitCoefTot = 0.;

  // alpha_em at maximum scale provides upper estimate.
  double alphaEMmax  = alphaEM.alphaEM(renormMultFac * pT2begDip);
  double alphaEM2pi  = alphaEMmax / (2. * M_PI);

  // Emission: upper estimate for matrix element weighting; charge factor.
  wtPSgam     = 8.;
  
  // Determine overestimated z range. Find evolution coefficient.
  zMinAbs = 0.5 - sqrtpos( 0.25 - pT2endDip / dip.m2DipCorr );
  if (zMinAbs < SIMPLIFYROOT) zMinAbs = pT2endDip / dip.m2DipCorr;
    
  // Determine weak coupling.
  double weakCoupling = 0.;
  // W-radiation, with additional factor of two, from only having
  // left-handed fermions.
  if (dip.weakType == 1)
    weakCoupling = 2. * alphaEM2pi / (4. * coupSMPtr->sin2thetaW());
  // Z-radiation, split between left and right fermions.
  else if (dip.weakType == 2 && dip.weakPol == -1)
    weakCoupling = alphaEM2pi * thetaWRat
      * pow2(2. * coupSMPtr->lf( event[dip.iRadiator].idAbs() ));
  else
    weakCoupling = alphaEM2pi * thetaWRat
      * pow2(2. * coupSMPtr->rf( event[dip.iRadiator].idAbs() ));
  
  // Variables used inside evolution loop.
  emitCoefTot = weakEnhancement * weakCoupling
    * wtPSgam * log(1. / zMinAbs - 1.);
  // Fudge factor to correct for weak PS not being an overestimate of ME.
  if ( dip.MEtype == 201 || dip.MEtype == 202 || dip.MEtype == 203
    || dip.MEtype == 206 || dip.MEtype == 207 || dip.MEtype == 208 )
    emitCoefTot *= WEAKPSWEIGHT;
  dip.pT2 = pT2begDip;
  double wt;

  // Begin evolution loop towards smaller pT values.
  do {
    // Pick pT2 (in overestimated z range).
    dip.pT2 = dip.pT2 * pow(rndmPtr->flat(), 1. / emitCoefTot);
    wt = 0.;
    
    // Abort evolution if below cutoff scale, or below another branching.
    if ( dip.pT2 < pT2endDip) {dip.pT2 = 0.; return; }
     
    // Pick z according to dz/(1-z) or flat.
    dip.z = 1. - zMinAbs * pow( 1. / zMinAbs - 1., rndmPtr->flat() );
   
    // Do not accept branching if outside allowed z range.
    double zMin = 0.5 - sqrtpos( 0.25 - dip.pT2 / dip.m2DipCorr );
    if (zMin < SIMPLIFYROOT) zMin = dip.pT2 / dip.m2DipCorr;
    dip.m2 = dip.m2Rad + dip.pT2 / (dip.z * (1. - dip.z));
    if (dip.z > zMin && dip.z < 1. - zMin
      && dip.m2 * dip.m2Dip < dip.z * (1. - dip.z)
        * pow2(dip.m2Dip + dip.m2 - dip.m2Rec) ) {

      // Check whether emission of W+ or W-, or else Z0.
      if (dip.weakType == 1) {
        dip.flavour = (event[dip.iRadiator].id() > 0) ? 24 : -24;
        if (event[dip.iRadiator].idAbs() % 2 == 1) dip.flavour = -dip.flavour;
      } else if (dip.weakType == 2) dip.flavour = 23;
 
      // Set mass of emitted particle, with Breit-Wigner distribution.
      dip.mFlavour = particleDataPtr->mSel( dip.flavour);
      
      // No z weight, except threshold, if to do ME corrections later on.
      // Here no pure shower mode exists, always needs ME corrections.
      if (dip.MEtype > 0) wt = 1.;
      
      // Correct to current value of alpha_EM.
      double alphaEMnow = alphaEM.alphaEM(renormMultFac * dip.pT2);
      wt *= (alphaEMnow / alphaEMmax);

      // Suppression factors for dipole to beam remnant.
      if (dip.isrType != 0 && useLocalRecoilNow) {
        BeamParticle& beam = (dip.isrType == 1) ? *beamAPtr : *beamBPtr;
        int iSys    = dip.system;
        double xOld = beam[iSys].x();
        double xNew = xOld * (1. + (dip.m2 - dip.m2Rad) /
          (dip.m2Dip - dip.m2Rad));
        double xMaxAbs = beam.xMax(iSys);
        if (xMaxAbs < 0.) {
          infoPtr->errorMsg("Warning in TimeShower::pT2nextWeak: "
          "xMaxAbs negative");
          return;
        }
        
        // Firstly reduce by PDF ratio.
        if (xNew > xMaxAbs) wt = 0.;
        else {
          int idRec     = event[dip.iRecoiler].id();
          pdfScale2 = (useFixedFacScale) ? fixedFacScale2
            : factorMultFac * dip.pT2;
          double pdfOld = max ( TINYPDF,
            beam.xfISR( iSys, idRec, xOld, pdfScale2) );
          double pdfNew =
            beam.xfISR( iSys, idRec, xNew, pdfScale2);
          wt *= min( 1., pdfNew / pdfOld);
        }
        // Secondly optionally reduce by 4 pT2_hard / (4 pT2_hard + m2).
        if (dampenBeamRecoil) {
          double pT24 = 4. * event[dip.iRadiator].pT2();
          wt *= pT24 / (pT24 + dip.m2);
        }
      }
    }

    // Optional dampening of large pT values in hard system.
    if (dopTdamp && dip.system == 0) wt *= pT2damp / (dip.pT2 + pT2damp);

    // Iterate until acceptable pT (or have fallen below pTmin).
  } while (wt < rndmPtr->flat());

}

//--------------------------------------------------------------------------

// Evolve a Hidden Valley dipole end.

void TimeShower::pT2nextHV(double pT2begDip, double pT2sel,
  TimeDipoleEnd& dip, Event& ) {

  // Lower cut for evolution. Return if no evolution range.
  double pT2endDip = max( pT2sel, pT2hvCut );
  if (pT2begDip < pT2endDip) return;

  // C_F * alpha_HV/2 pi.
  int    colvTypeAbs = abs(dip.colvType);
  double colvFac     = (colvTypeAbs == 1) ? CFHV : 0.5 * nCHV;
  double alphaHV2pi  = colvFac * (alphaHVfix / (2. * M_PI));

  // Determine overestimated z range. Find evolution coefficient.
  double zMinAbs = 0.5 - sqrtpos( 0.25 - pT2endDip / dip.m2DipCorr );
  if (zMinAbs < SIMPLIFYROOT) zMinAbs = pT2endDip / dip.m2DipCorr;
  double emitCoefTot = alphaHV2pi * 2. * log(1. / zMinAbs - 1.);
  
  // Variables used inside evolution loop.
  dip.pT2 = pT2begDip;
  double wt;
  
  // Begin evolution loop towards smaller pT values.
  do {
 
    // Pick pT2 (in overestimated z range).
    dip.pT2 = dip.pT2 * pow(rndmPtr->flat(), 1. / emitCoefTot);
    wt = 0.;

    // Abort evolution if below cutoff scale, or below another branching.
    if ( dip.pT2 < pT2endDip) { dip.pT2 = 0.; return; }

    // Pick z according to dz/(1-z).
    dip.z = 1. - zMinAbs * pow( 1. / zMinAbs - 1., rndmPtr->flat() );
  
    // Do not accept branching if outside allowed z range.
    double zMin = 0.5 - sqrtpos( 0.25 - dip.pT2 / dip.m2DipCorr );
    if (zMin < SIMPLIFYROOT) zMin = dip.pT2 / dip.m2DipCorr;
    dip.m2 = dip.m2Rad + dip.pT2 / (dip.z * (1. - dip.z));
    if (dip.z > zMin && dip.z < 1. - zMin
      && dip.m2 * dip.m2Dip < dip.z * (1. - dip.z)
        * pow2(dip.m2Dip + dip.m2 - dip.m2Rec) ) {

      // HV gamma or gluon emission: unique flavour choice.
      dip.flavour  = idHV;
      dip.mFlavour = mHV;

      // No z weight, except threshold, if to do ME corrections later on.
      if (dip.MEtype > 0) wt = 1.;

      // z weight for X -> X g_HV.
      else if (colvTypeAbs == 1) wt = (1. + pow2(dip.z)) / 2.;
      else wt = (1. + pow3(dip.z)) / 2.;
    }

    // Optional dampening of large pT values in hard system.
    if (dopTdamp && dip.system == 0 && dip.MEtype == 0)
      wt *= pT2damp / (dip.pT2 + pT2damp);

  // Iterate until acceptable pT (or have fallen below pTmin).
  } while (wt < rndmPtr->flat());

}

//--------------------------------------------------------------------------

// ME corrections and kinematics that may give failure.
// Notation: radBef, recBef = radiator, recoiler before emission,
//           rad, rec, emt = radiator, recoiler, emitted efter emission.
//           (rad, emt distinguished by colour flow for g -> q qbar.)

bool TimeShower::branch( Event& event, bool isInterleaved) {

  // Check if global recoil should be used.
  useLocalRecoilNow = !(globalRecoil && dipSel->system == 0
    && partonSystemsPtr->sizeOut(0) <= nMaxGlobalRecoil);

  // Do not use global recoil if the radiator line has already branched.
  if (globalRecoilMode == 1) {
    if ( globalRecoil ) useLocalRecoilNow = true;
    for (int iHard = 0; iHard < int(hardPartons.size()); ++iHard)
      if ( event[dipSel->iRadiator].isAncestor(hardPartons[iHard]) )
        useLocalRecoilNow = false;
    // Check if global recoil should be used.
    if ( !globalRecoil || nGlobal >= nMaxGlobalBranch )
      useLocalRecoilNow = true;

  // Switch off global recoil after first trial emission
  } else if (globalRecoilMode == 2) {
    useLocalRecoilNow = !(globalRecoil && dipSel->system == 0
      && nGlobal <= nMaxGlobalBranch);
    int nFinal = 0;
    for (int i = 0; i < int(event.size()); ++i)
      if ( event[i].isFinal() && event[i].colType() != 0) nFinal++;
    bool isFirst = (nHard == nFinal);
    if ( globalRecoil && doInterleave && !isFirst )
      useLocalRecoilNow = true;
    if ( globalRecoil && nProposed > 1 )
      useLocalRecoilNow = true;
    // No global recoil for H-events.
    if ( nFinalBorn > 0 && nHard > nFinalBorn )
      useLocalRecoilNow = true;
  }

  // Check if the first emission should be studied for removal.
  bool canMergeFirst = (mergingHooksPtr != 0)
                     ? mergingHooksPtr->canVetoEmission() : false;

  // Find initial radiator and recoiler particles in dipole branching.
  int iRadBef      = dipSel->iRadiator;
  int iRecBef      = dipSel->iRecoiler;
  Particle& radBef = event[iRadBef];
  Particle& recBef = event[iRecBef];

  // Find their momenta, with special sum for global recoil.
  Vec4 pRadBef     = event[iRadBef].p();
  Vec4 pRecBef;
  vector iGRecBef, iGRec;
  if (useLocalRecoilNow) pRecBef =  event[iRecBef].p();
  else {
    for (int i = 0; i < partonSystemsPtr->sizeOut( dipSel->system); ++i) {
      int iG = partonSystemsPtr->getOut( dipSel->system, i);
      if (iG !=  dipSel->iRadiator) {
        iGRecBef.push_back(iG);
        pRecBef += event[iG].p();
      }
    }
  }

  // Find old incoming momenta for weak shower t-channel ME correction.
  Vec4 p3weak = event[3].p();
  Vec4 p4weak = event[4].p();
  if ( dipSel->MEtype == 201 || dipSel->MEtype == 202
    || dipSel->MEtype == 203 || dipSel->MEtype == 206
    || dipSel->MEtype == 207 || dipSel->MEtype == 208) {

    // Trace back to original mother. MPI not allowed to radiate weakly.
    int i2to2Mother = iRadBef;
    while (i2to2Mother != 5 && i2to2Mother != 6 && i2to2Mother != 0)
      i2to2Mother = event[i2to2Mother].mother1();
    if (i2to2Mother == 0) return false;

    // u d -> u d  && u g -> u g.
    if (event[3].id() != event[4].id()) {
      if (event[3].id() == event[i2to2Mother].id());
      else if (event[4].id() == event[i2to2Mother].id()) swap(p3weak, p4weak);
      // In case of no match, assign random combination.
      else if (rndmPtr->flat() < 0.5) swap(p3weak, p4weak);
    }
    // u u -> u u, assign random combination.
    else if (rndmPtr->flat() < 0.5) swap(p3weak, p4weak);
  }

  // Default flavours and colour tags for new particles in dipole branching.
  int idRad        = radBef.id();
  int idEmt        = dipSel->flavour;
  int colRad       = radBef.col();
  int acolRad      = radBef.acol();
  int colEmt       = 0;
  int acolEmt      = 0;
  iSysSel          = dipSel->system;
  int iSysSelRec   = dipSel->systemRec;

  // Default OK for photon, photon_HV or gluon_HV emission.
  if (dipSel->flavour == 22 || dipSel->flavour == idHV) {
  // New colour tag required for gluon emission.
  } else if (dipSel->flavour == 21 && dipSel->colType > 0) {
    colEmt  = colRad;
    colRad  = event.nextColTag();
    acolEmt = colRad;
  } else if (dipSel->flavour == 21) {
    acolEmt = acolRad;
    acolRad = event.nextColTag();
    colEmt  = acolRad;
  // New flavours for g -> q qbar; split colours.
  } else if (dipSel->colType > 0) {
    idEmt   = dipSel->flavour ;
    idRad   = -idEmt;
    colEmt  = colRad;
    colRad  = 0;
  } else if (dipSel->colType < 0) {
    idEmt   = -dipSel->flavour ;
    idRad   = -idEmt;
    acolEmt = acolRad;
    acolRad = 0;
  // New flavours for gamma -> f fbar, and maybe also colours.
  } else if (dipSel->gamType == 1 && rndmPtr->flat() > 0.5) {
    idEmt   = -dipSel->flavour ;
    idRad   = -idEmt;
    if (idRad < 10) colRad = event.nextColTag();
    acolEmt = colRad;
  } else if (dipSel->gamType == 1) {
    idEmt   = dipSel->flavour ;
    idRad   = -idEmt;
    if (idEmt < 10) colEmt = event.nextColTag();
    acolRad = colEmt;
  }

  // Change fermion flavour by W emissions.
  int idRadSv = idRad;
  if (abs(idEmt) == 24) {
    if (rndmPtr->flat() > coupSMPtr->V2CKMsum(idRad)) return false;
    idRad = coupSMPtr->V2CKMpick(idRad);
  }

  // Construct kinematics in dipole rest frame:
  // begin simple (like g -> g g).
  double pTorig       = sqrt( dipSel->pT2);
  double eRadPlusEmt  = 0.5 * (dipSel->m2Dip + dipSel->m2 - dipSel->m2Rec)
    / dipSel->mDip;
  double e2RadPlusEmt = pow2(eRadPlusEmt);
  double pzRadPlusEmt = 0.5 * sqrtpos( pow2(dipSel->m2Dip - dipSel->m2
    - dipSel->m2Rec) - 4. * dipSel->m2 * dipSel->m2Rec ) / dipSel->mDip;
  double pT2corr = dipSel->m2 * (e2RadPlusEmt * dipSel->z * (1. - dipSel->z)
                      - 0.25 * dipSel->m2) / pow2(pzRadPlusEmt);
  double pTcorr       = sqrtpos( pT2corr );
  double pzRad        = (e2RadPlusEmt * dipSel->z - 0.5 * dipSel->m2)
                      / pzRadPlusEmt;
  double pzEmt        = (e2RadPlusEmt * (1. - dipSel->z) - 0.5 * dipSel->m2)
                      / pzRadPlusEmt;
  // Radiator flavour changed if W emission, so find new mass.
  double mRad         = (idRad == idRadSv) ? dipSel->mRad
                      : particleDataPtr->m0(idRad);
  double m2Rad        = pow2(mRad);
  double mEmt         = 0.;
  
  // Kinematics reduction for f -> f W/Z when m_f > 0 (and m_W/Z > 0)
  // or q -> q gamma_v when m_q > 0 and m_gamma_v > 0.
  if ( dipSel->weakType != 0
    || (abs(dipSel->colvType) == 1 && dipSel->mFlavour > 0.) ) {
    mEmt              = dipSel->mFlavour;
    if (pow2(mRad + mEmt) > dipSel->m2) return false;
    double m2Emt      = pow2(mEmt);
    double lambda     = sqrtpos( pow2(dipSel->m2 - m2Rad - m2Emt)
                      - 4. * m2Rad * m2Emt );
    kRad              = 0.5 * (dipSel->m2 - lambda + m2Emt - m2Rad)
                      / dipSel->m2;
    kEmt              = 0.5 * (dipSel->m2 - lambda + m2Rad - m2Emt)
                      / dipSel->m2;
    pTorig           *= 1. - kRad - kEmt;
    pTcorr           *= 1. - kRad - kEmt;
    double pzMove     = kRad * pzRad - kEmt * pzEmt;
    pzRad            -= pzMove;
    pzEmt            += pzMove;

  // Kinematics reduction for q -> q g/gamma/g_HV when m_q > 0.
  } else if (abs(dipSel->colType) == 1 || dipSel->chgType != 0
    || abs(dipSel->colvType) == 1) {
    pTorig           *= 1. - dipSel->m2Rad / dipSel->m2;
    pTcorr           *= 1. - dipSel->m2Rad / dipSel->m2;
    pzRad            += pzEmt * dipSel->m2Rad / dipSel->m2;
    pzEmt            *= 1. - dipSel->m2Rad / dipSel->m2;
 
  // Kinematics reduction for g -> q qbar or gamma -> f fbar when m_f > 0;
  } else if (abs(dipSel->flavour) < 20) {
    mEmt              = dipSel->mFlavour;
    mRad              = mEmt;
    double beta       = sqrtpos( 1. - 4. * pow2(mEmt) / dipSel->m2 );
    pTorig           *= beta;
    pTcorr           *= beta;
    pzRad             = 0.5 * ( (1. + beta) * pzRad + (1. - beta) * pzEmt );
    pzEmt             = pzRadPlusEmt - pzRad;
  }

  // Reject g emission where mass effects have reduced pT below cutoff.
  if (idEmt == 21 && pTorig < pTcolCut) return false;

  // Find rest frame and angles of original dipole.
  RotBstMatrix M;
  M.fromCMframe(pRadBef, pRecBef);

  // Evaluate coefficient of azimuthal asymmetry from gluon polarization.
  findAsymPol( event, dipSel);

  // Begin construction of new dipole kinematics: pick azimuthal angle.
  Vec4 pRad, pEmt, pRec;
  double wtPhi = 1.;
  do {
    double phi = 2. * M_PI * rndmPtr->flat();

    // Define kinematics of branching in dipole rest frame.
    pRad = Vec4( pTcorr * cos(phi), pTcorr * sin(phi), pzRad,
      sqrt( pow2(pTcorr) + pow2(pzRad) + pow2(mRad) ) );
    pEmt = Vec4( -pRad.px(), -pRad.py(), pzEmt,
      sqrt( pow2(pTcorr) + pow2(pzEmt) + pow2(mEmt) ) );
    pRec = Vec4( 0., 0., -pzRadPlusEmt, sqrt( pow2(pzRadPlusEmt)
      + dipSel->m2Rec ) );

    // Rotate and boost dipole products to the event frame.
    pRad.rotbst(M);
    pEmt.rotbst(M);
    pRec.rotbst(M);

    // Azimuthal phi weighting: loop to new phi value if required.
    if (dipSel->asymPol != 0.) {
      Vec4 pAunt = event[dipSel->iAunt].p();
      double cosPhi = cosphi( pRad, pAunt, pRadBef );
      wtPhi = ( 1. + dipSel->asymPol * (2. * pow2(cosPhi) - 1.) )
        / ( 1. + abs(dipSel->asymPol) );
    }
  } while (wtPhi < rndmPtr->flat()) ;

  // Kinematics when recoiler is initial-state parton.
  int isrTypeNow  = dipSel->isrType;
  int isrTypeSave = isrTypeNow;
  if (!useLocalRecoilNow) isrTypeNow = 0;
  if (isrTypeNow != 0) pRec = 2. * recBef.p() - pRec;

  // PS dec 2010: check if radiator has flexible normalization
  bool isFlexible = dipSel->isFlexible;

  // Define new particles from dipole branching.
  double pTsel = sqrt(dipSel->pT2);
  Particle rad = Particle(idRad, 51, iRadBef, 0, 0, 0,
    colRad, acolRad, pRad, mRad, pTsel);
  Particle emt = Particle(idEmt, 51, iRadBef, 0, 0, 0,
    colEmt, acolEmt, pEmt, mEmt, pTsel);

  // Recoiler either in final or in initial state
  Particle rec = (isrTypeNow == 0)
    ? Particle(recBef.id(),  52, iRecBef, iRecBef, 0, 0,
      recBef.col(), recBef.acol(), pRec, dipSel->mRec, pTsel)
    : Particle(recBef.id(), -53, 0, 0, iRecBef, iRecBef,
      recBef.col(), recBef.acol(), pRec, 0., 0.);
  
  // Special checks to set weak particles status equal to 56.
  // This is needed for decaying the particles. Also set polarisation.
  if (emt.idAbs() == 23 || emt.idAbs() == 24) {
    emt.status(56);
    event[iRadBef].pol( dipSel->weakPol );
    rad.pol( dipSel->weakPol );
  }

  // ME corrections can lead to branching being rejected.
  if (dipSel->MEtype > 0) {
    Particle& partner = (dipSel->iMEpartner == iRecBef)
      ? rec : event[dipSel->iMEpartner];
    if ( findMEcorr( dipSel, rad, partner, emt) < rndmPtr->flat() )
      return false;
    if (dipSel->MEtype >= 200 && dipSel->MEtype <= 210 
      && findMEcorrWeak( dipSel, rad.p(), partner.p(), emt.p(), p3weak, p4weak,
      event[iRadBef].p(), event[iRecBef].p()) < rndmPtr->flat() )
      return false;
  }

  // Rescatter: if the recoiling partner is not in the same system
  //            as the radiator, fix up intermediate systems (can lead
  //            to emissions being vetoed)
  if (allowRescatter && FIXRESCATTER && isInterleaved
    && iSysSel != iSysSelRec) {
    Vec4 pNew = rad.p() + emt.p();
    if (!rescatterPropagateRecoil(event, pNew)) return false;
  }

  // Save properties to be restored in case of user-hook veto of emission.
  int eventSizeOld = event.size();
  int iRadStatusV  = event[iRadBef].status();
  int iRadDau1V    = event[iRadBef].daughter1();
  int iRadDau2V    = event[iRadBef].daughter2();
  int iRecStatusV  = event[iRecBef].status();
  int iRecMot1V    = event[iRecBef].mother1();
  int iRecMot2V    = event[iRecBef].mother2();
  int iRecDau1V    = event[iRecBef].daughter1();
  int iRecDau2V    = event[iRecBef].daughter2();
  int beamOff1     = 1 + beamOffset;
  int beamOff2     = 2 + beamOffset;
  int ev1Dau1V     = event[beamOff1].daughter1();
  int ev2Dau1V     = event[beamOff2].daughter1();

  // Shower may occur at a displaced vertex.
  if (radBef.hasVertex()) {
    rad.vProd( radBef.vProd() );
    emt.vProd( radBef.vProd() );
  }
  if (recBef.hasVertex()) rec.vProd( recBef.vProd() );

  // Put new particles into the event record.
  // Mark original dipole partons as branched and set daughters/mothers.
  int iRad = event.append(rad);
  int iEmt = event.append(emt);
  event[iRadBef].statusNeg();
  event[iRadBef].daughters( iRad, iEmt);
  int iRec = 0;
  if (useLocalRecoilNow) {
    iRec = event.append(rec);
    if (isrTypeNow == 0) {
      event[iRecBef].statusNeg();
      event[iRecBef].daughters( iRec, iRec);
    } else {
      event[iRecBef].mothers( iRec, iRec);
      event[iRec].mothers( iRecMot1V, iRecMot2V);
      if (iRecMot1V == beamOff1) event[beamOff1].daughter1( iRec);
      if (iRecMot1V == beamOff2) event[beamOff2].daughter1( iRec);
    }

  // Global recoil: need to find relevant rotation+boost for recoilers:
  // boost+rotate to rest frame, boost along z axis, rotate+boost back.
  } else {
    RotBstMatrix MG = M;
    MG.invert();
    double pzRecBef = -0.5 * sqrtpos( pow2(dipSel->m2Dip - dipSel->m2Rad
      - dipSel->m2Rec) - 4. * dipSel->m2Rad * dipSel->m2Rec ) / dipSel->mDip;
    double eRecBef  = sqrt( pow2(pzRecBef) + dipSel->m2Rec);
    double pzRecAft = -pzRadPlusEmt;
    double eRecAft  = sqrt( pow2(pzRecAft) + dipSel->m2Rec);
    MG.bst( Vec4(0., 0., pzRecBef, eRecBef), Vec4(0., 0., pzRecAft, eRecAft) );
    MG.rotbst( M);

    // Global recoil: copy particles, and rotate+boost momenta (not vertices).
    for (int iG = 0; iG < int(iGRecBef.size()); ++iG) {
      iRec = event.copy( iGRecBef[iG], 52);
      iGRec.push_back( iRec);
      Vec4 pGRec = event[iRec].p();
      pGRec.rotbst( MG);
      event[iRec].p( pGRec);
    }
  }
 
  // Allow veto of branching. If so restore event record to before emission.
  bool inResonance = (partonSystemsPtr->getInA(iSysSel) == 0) ? true : false;
  if ( (canVetoEmission && userHooksPtr->doVetoFSREmission( eventSizeOld,
    event, iSysSel, inResonance))
    || (canMergeFirst && mergingHooksPtr->doVetoEmission( event )) ) {
    event.popBack( event.size() - eventSizeOld);
    event[iRadBef].status( iRadStatusV);
    event[iRadBef].daughters( iRadDau1V, iRadDau2V);
    if (useLocalRecoilNow && isrTypeNow == 0) {
      event[iRecBef].status( iRecStatusV);
      event[iRecBef].daughters( iRecDau1V, iRecDau2V);
    } else if (useLocalRecoilNow) {
      event[iRecBef].mothers( iRecMot1V, iRecMot2V);
      if (iRecMot1V == beamOff1) event[beamOff1].daughter1( ev1Dau1V);
      if (iRecMot1V == beamOff2) event[beamOff2].daughter1( ev2Dau1V);
    } else {
      for (int iG = 0; iG < int(iGRecBef.size()); ++iG) {
        event[iGRecBef[iG]].statusPos();
        event[iGRecBef[iG]].daughters( 0, 0);
      }
    }
    return false;
  }

  // For global recoil restore the one nominal recoiler, for bookkeeping.
  if (!useLocalRecoilNow) {
    iRec = iRecBef;
    for (int iG = 0; iG < int(iGRecBef.size()); ++iG)
    if (iGRecBef[iG] == iRecBef) iRec = iGRec[iG];
  }

  // For initial-state recoiler also update beam and sHat info.
  if (isrTypeNow != 0) {
    BeamParticle& beamRec = (isrTypeNow == 1) ? *beamAPtr : *beamBPtr;
    double xOld = beamRec[iSysSelRec].x();
    double xRec = 2. * pRec.e() / (beamAPtr->e() + beamBPtr->e());
    beamRec[iSysSelRec].iPos( iRec);
    beamRec[iSysSelRec].x( xRec);
    partonSystemsPtr->setSHat( iSysSelRec,
    partonSystemsPtr->getSHat(iSysSelRec) * xRec / xOld);
  }

  // For global recoil: if everything went as expected, remove the line
  // from the list of "hard lines" that are allowed to use global recoil.
  if ( !useLocalRecoilNow || nGlobal >= nMaxGlobalBranch) {
    bool doRemove=true;
    while ( doRemove ) {
      bool hasRemoved = false;
      for (int iHard = 0; iHard < int(hardPartons.size()); ++iHard)
        if ( event[dipSel->iRadiator].isAncestor(hardPartons[iHard]) ) {
          hardPartons.erase( hardPartons.begin() + iHard );
          hasRemoved = true;
          break;
        }
      doRemove = hasRemoved;
    }
  }

  // Update number of splittings that have been produced with global recoil.
  if ( !useLocalRecoilNow ) ++nGlobal;

  // Photon emission: update to new dipole ends; add new photon "dipole".
  if (dipSel->flavour == 22) {
    dipSel->iRadiator = iRad;
    dipSel->iRecoiler = iRec;
    // When recoiler was uncharged particle, in resonance decays,
    // assign recoil to emitted photons.
    if (recoilToColoured && inResonance && event[iRec].chargeType() == 0)
      dipSel->iRecoiler = iEmt;
    dipSel->pTmax = pTsel;
    if (doQEDshowerByGamma) dipEnd.push_back( TimeDipoleEnd(iEmt, iRad,
      pTsel, 0, 0, 1, 0, 0, iSysSel, 0) );

  // Gluon emission: update both dipole ends and add two new ones.
  } else if (dipSel->flavour == 21) {
    dipSel->iRadiator  = iRad;
    dipSel->iRecoiler  = iEmt;
    dipSel->systemRec  = iSysSel;
    dipSel->isrType    = 0;
    dipSel->pTmax      = pTsel;
    // Optionally also kill ME corrections after first emission.
    if (!doMEafterFirst) dipSel->MEtype = 0;
    // PS dec 2010: check normalization of radiating dipole
    // Dipole corresponding to the newly created color tag has normal strength
    double flexFactor  = (isFlexible) ? dipSel->flexFactor : 1.0;
    dipSel->isFlexible = false;
    for (int i = 0; i < int(dipEnd.size()); ++i) {
      if (dipEnd[i].iRadiator == iRecBef && dipEnd[i].iRecoiler == iRadBef
        && dipEnd[i].colType != 0) {
        dipEnd[i].iRadiator = iRec;
        dipEnd[i].iRecoiler = iEmt;
        // Optionally also kill ME corrections after first emission.
        if (!doMEafterFirst) dipEnd[i].MEtype = 0;
        // Strive to match colour to anticolour inside closed system.
        if ( !isFlexible && dipEnd[i].colType * dipSel->colType > 0)
          dipEnd[i].iRecoiler = iRad;
        dipEnd[i].pTmax = pTsel;
        // PS dec 2010: if the (iRadBef,iRecBef) dipole was flexible, the
        // same should be true for this (opposite) end. If so, this end keeps
        // the modified normalization, so we shouldn't need to do anything.
      }
      // Weak shower can have gluons as recoiler. Always choose
      // the outgoing gluon that produces the highest invariant mass.
      if (event[iRadBef].id() == 21 && dipEnd[i].iRecoiler == iRadBef
         && dipEnd[i].weakType != 0) {
        double m1 = (event[iRad].p()+event[dipEnd[i].iRadiator].p()).m2Calc();
        double m2 = (event[iEmt].p()+event[dipEnd[i].iRadiator].p()).m2Calc();
        dipEnd[i].iRecoiler = (m1 > m2) ? iRad : iEmt;
      }
    }
    int colType = (dipSel->colType > 0) ? 2 : -2 ;
    // When recoiler was uncoloured particle, in resonance decays,
    // assign recoil to coloured particle.
    int iRecMod = iRec;
    if (recoilToColoured && inResonance && event[iRec].col() == 0
      && event[iRec].acol() == 0) iRecMod = iRad;
    dipEnd.push_back( TimeDipoleEnd(iEmt, iRecMod, pTsel,
       colType, 0, 0, 0, isrTypeSave, iSysSel, 0));
    dipEnd.back().systemRec = iSysSelRec;
    // PS dec 2010: the (iEmt,iRec) dipole "inherits" flexible normalization
    if (isFlexible) {
      dipEnd.back().isFlexible = true;
      dipEnd.back().flexFactor = flexFactor;
    }
    dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
      -colType, 0, 0, 0, 0, iSysSel, 0));
    
  // Gluon branching to q qbar: update current dipole and other of gluon.
  } else if (dipSel->colType != 0) {
    for (int i = 0; i < int(dipEnd.size()); ++i) {
      // Strive to match colour to anticolour inside closed system.
      if ( !isFlexible && dipEnd[i].iRecoiler == iRadBef
        && dipEnd[i].colType * dipSel->colType < 0 )
        dipEnd[i].iRecoiler = iEmt;
      if (dipEnd[i].iRadiator == iRadBef && abs(dipEnd[i].colType) == 2) {
        dipEnd[i].colType /= 2;
        if (dipEnd[i].system != dipEnd[i].systemRec) continue;

        // Note: gluino -> quark + squark gives a deeper radiation dip than
        // the more obvious alternative photon decay, so is more realistic.
        dipEnd[i].MEtype = 66;
        if (&dipEnd[i] == dipSel) dipEnd[i].iMEpartner = iRad;
        else                      dipEnd[i].iMEpartner = iEmt;
      }
      // Choose recoiler to Z/W to get largest mass.
      if (event[iRadBef].id() == 21 && dipEnd[i].iRecoiler == iRadBef
         && dipEnd[i].weakType != 0) {
        double m1 = (event[iRad].p()+event[dipEnd[i].iRadiator].p()).m2Calc();
        double m2 = (event[iEmt].p()+event[dipEnd[i].iRadiator].p()).m2Calc();
        dipEnd[i].iRecoiler = (m1 > m2) ? iRad : iEmt;
      }
    }
    dipSel->iRadiator = iEmt;
    dipSel->iRecoiler = iRec;
    dipSel->pTmax     = pTsel;
    
    // Gluon branching to q qbar: also add two charge dipole ends.
    // Note: gluino -> quark + squark gives a deeper radiation dip than
    // the more obvious alternative photon decay, so is more realistic.
    if (doQEDshowerByQ) {
      int chgType = event[iRad].chargeType();
      dipEnd.push_back( TimeDipoleEnd(iRad, iEmt, pTsel,
        0,  chgType, 0, 0, 0, iSysSel, 66, iEmt));
      dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
        0, -chgType, 0, 0, 0, iSysSel, 66, iRad));
    }

    // Gluon branching to q qbar: also add weak dipoles.
    // Randomly decided whether to use left or right quarks.
    if (doWeakShower && iSysSel == 0 &&
      !(hasWeaklyRadiated && singleWeakEmission)) {
      int weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
      event[iRad].pol(weakPol);
      event[iEmt].pol(weakPol);
      if ((weakMode == 0 || weakMode == 1) && weakPol == -1) {
        dipEnd.push_back( TimeDipoleEnd(iRad, iEmt, pTsel,
          0, 0, 0, 1, 0, iSysSel, 200, iEmt, weakPol) );
        dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
          0, 0, 0, 1, 0, iSysSel, 200, iRad, weakPol) );
      }
      if (weakMode == 0 || weakMode == 2) {
        dipEnd.push_back( TimeDipoleEnd(iRad, iEmt, pTsel,
          0, 0, 0, 2, 0, iSysSel, 205, iEmt, weakPol) );
        dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
          0, 0, 0, 2, 0, iSysSel, 205, iRad, weakPol) );
      }
    }

  // Photon branching to f fbar: inactivate photon "dipole";
  // optionally add new charge and colour dipole ends.
  // (But not W or Z ends, since W/Z are heavier than gamma*.)
  } else if (dipSel->gamType != 0) {
    dipSel->gamType = 0;
    int chgType = event[iRad].chargeType();
    int colType = event[iRad].colType();
    // MEtype = 102 for charge in vector decay.
    if ( chgType != 0 && ( ( doQEDshowerByQ && colType != 0 )
      || ( doQEDshowerByL && colType == 0 ) ) ) {
      dipEnd.push_back( TimeDipoleEnd(iRad, iEmt, pTsel,
        0,  chgType, 0, 0, 0, iSysSel, 102, iEmt) );
      dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
        0, -chgType, 0, 0, 0, iSysSel, 102, iRad) );
    }
    // MEtype = 11 for colour in vector decay.
    if (colType != 0 && doQCDshower) {
      dipEnd.push_back( TimeDipoleEnd(iRad, iEmt, pTsel,
         colType, 0, 0, 0, 0, iSysSel, 11, iEmt) );
      dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
        -colType, 0, 0, 0, 0, iSysSel, 11, iRad) );
    }

  // Photon_HV emission: update to new dipole ends.
  } else if (dipSel->flavour == 4900022) {
    dipSel->iRadiator = iRad;
    dipSel->iRecoiler = iRec;
    dipSel->pTmax = pTsel;

  // Gluon_HV emission: update to new dipole ends.
  } else if (dipSel->flavour == 4900021) {
    dipSel->iRadiator = iRad;
    dipSel->iRecoiler = iEmt;
    dipSel->pTmax     = pTsel;
    for (int i = 0; i < int(dipEnd.size()); ++i)
    if (dipEnd[i].iRadiator == iRecBef && dipEnd[i].iRecoiler == iRadBef
      && dipEnd[i].isHiddenValley) {
      dipEnd[i].iRadiator = iRec;
      dipEnd[i].iRecoiler = iEmt;
      dipEnd[i].pTmax     = pTsel;
    }
    int colvType = (dipSel->colvType > 0) ? 2 : -2 ;
    dipEnd.push_back( TimeDipoleEnd(iEmt, iRec, pTsel,
      0, 0, 0, 0, isrTypeSave, iSysSel, 0, -1, 0, false, true, colvType) );
    dipEnd.back().systemRec = iSysSelRec;
    dipEnd.push_back( TimeDipoleEnd(iEmt, iRad, pTsel,
      0, 0, 0, 0, 0, iSysSel, 0, -1, 0, false, true, -colvType) );

  // W/Z emission, if only a single weak emission is allowed.
  } else if (dipSel->weakType != 0) {
    hasWeaklyRadiated = true;
    if (singleWeakEmission)
      for (int i = 0; i < int(dipEnd.size()); ++i) dipEnd[i].weakType = 0;
  }

  // Copy or set lifetime for new final state.
  if (event[iRad].id() == event[iRadBef].id()) {
    event[iRad].tau( event[iRadBef].tau() );
  } else {
    event[iRad].tau( event[iRad].tau0() * rndmPtr->exp() );
    event[iEmt].tau( event[iEmt].tau0() * rndmPtr->exp() );
  }
  event[iRec].tau( event[iRecBef].tau() );

  // Now update other dipoles that also involved the radiator or recoiler.
  for (int i = 0; i < int(dipEnd.size()); ++i) {
    // PS dec 2010: if radiator was flexible and now is normal, there may
    // be other flexible dipoles that need updating.
    if (isFlexible && !dipSel->isFlexible && dipEnd[i].isFlexible) {
      if (dipEnd[i].iRecoiler  == iRadBef) dipEnd[i].iRecoiler = iEmt;
      if (dipEnd[i].iRadiator  == iRadBef) {
        dipEnd[i].iRadiator = iEmt;
        if (dipEnd[i].colType == 1 && dipSel->flavour == 21)
          dipEnd[i].colType = 2;
        if (dipEnd[i].colType ==-1 && dipSel->flavour == 21)
          dipEnd[i].colType =-2;
      }
    }
    if (dipEnd[i].iRadiator  == iRadBef) dipEnd[i].iRadiator  = iRad;
    if (dipEnd[i].iRecoiler  == iRadBef) dipEnd[i].iRecoiler  = iRad;
    if (dipEnd[i].iMEpartner == iRadBef) dipEnd[i].iMEpartner = iRad;
    if (useLocalRecoilNow) {
      if (dipEnd[i].iRadiator  == iRecBef) dipEnd[i].iRadiator  = iRec;
      if (dipEnd[i].iRecoiler  == iRecBef) dipEnd[i].iRecoiler  = iRec;
      if (dipEnd[i].iMEpartner == iRecBef) dipEnd[i].iMEpartner = iRec;
    } else {
      for (int iG = 0; iG < int(iGRecBef.size()); ++iG) {
        if (dipEnd[i].iRadiator  == iGRecBef[iG])
            dipEnd[i].iRadiator  =  iGRec[iG];
        if (dipEnd[i].iRecoiler  == iGRecBef[iG])
            dipEnd[i].iRecoiler  =  iGRec[iG];
        if (dipEnd[i].iMEpartner == iGRecBef[iG])
            dipEnd[i].iMEpartner =  iGRec[iG];
      }
    }
  }

  // PS Apr 2011
  // Update any junctions downstream of this branching (if necessary)
  // (This happens, e.g., via LHEF, when adding showers to intermediate
  //  coloured resonances whose decays involved junctions)
  for (int iJun = 0; iJun < event.sizeJunction(); iJun++) {
    // Number of incoming colour lines for this junction.
    int nIncoming = (event.kindJunction(iJun)-1)/2;
    // Check radiator colour or anticolour, depending on junction kind
    // (if junction, incoming = anticolours, and vice versa)
    int colChk = 0;
    colChk = ( event.kindJunction(iJun) % 2 == 0 )
           ? event[iRadBef].col() : event[iRadBef].acol();
    // Loop over incoming junction ends
    for (int iCol = 0; iCol < nIncoming; iCol++) {
      int colJun = event.colJunction( iJun, iCol);
      // If match, update junction end with new upstream (anti)colour
      if (colJun == colChk) {
        int colNew = 0;
        if ( event.kindJunction(iJun) % 2 == 0 ) colNew = colRad;
        else colNew = acolRad;
        event.colJunction( iJun, iCol, colNew );
      }
    }
  }

  // Finally update the list of all partons in all systems.
  partonSystemsPtr->replace(iSysSel, iRadBef, iRad);
  partonSystemsPtr->addOut(iSysSel, iEmt);
  if (useLocalRecoilNow)
    partonSystemsPtr->replace(iSysSelRec, iRecBef, iRec);
  else {
    for (int iG = 0; iG < int(iGRecBef.size()); ++iG)
    partonSystemsPtr->replace(iSysSel, iGRecBef[iG], iGRec[iG]);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Rescatter: If a dipole stretches between two different systems, those
//            systems will no longer locally conserve momentum. These
//            imbalances become problematic when ISR or primordial kT
//            is switched on as these steps involve Lorentz boosts.
//
//            'rescatterPropagateRecoil' tries to fix momentum in all
//            systems by propogating recoil momentum through all
//            intermediate systems. As the momentum transfer is already
//            defined, this can lead to internal lines gaining a
//            virtuality.

// Useful definitions for a pair of integers and a vector of pairs
typedef pair < int, int >  pairInt;
typedef vector < pairInt > vectorPairInt;

//--------------------------------------------------------------------------

// findParentSystems
//  Utility routine to find all parent systems of a given system
//  Returns a vector of pairs of integers with:
//   a) The system index, including the starting system (negative
//      if (b) points to a parent system, positive if (b) points
//      to a daughter system
//   b) The event record index that is the path out of the system
//      (if forwards == false, this is an incoming parton to the
//      system, and is +ve if side A or -ve if side B,
//      if forwards == true, this is an outgoing parton from the
//      system).
//  Returns as empty vector on failure
//  Note: this assumes single rescattering only and therefore only
//        one possible parent system

inline vectorPairInt findParentSystems(const int sys,
  Event& event, PartonSystems* partonSystemsPtr, bool forwards) {

  vectorPairInt parentSystems;
  parentSystems.reserve(10);

  int iSysCur = sys;
  while (true) {
    // Get two incoming partons
    int iInA = partonSystemsPtr->getInA(iSysCur);
    int iInB = partonSystemsPtr->getInB(iSysCur);

    // Check if either of these links to another system
    int iIn = 0;
    if (event[iInA].isRescatteredIncoming()) iIn =  iInA;
    if (event[iInB].isRescatteredIncoming()) iIn = -iInB;

    // Save the current system to the vector
    parentSystems.push_back( pairInt(-iSysCur, iIn) );
    if (iIn == 0) break;

    int iInAbs  = abs(iIn);
    int iMother = event[iInAbs].mother1();
    iSysCur     = partonSystemsPtr->getSystemOf(iMother);
    if (iSysCur == -1) {
      parentSystems.clear();
      break;
    }
  } // while (true)

  // If forwards is set, change all event record indices to go to daughter
  // systems rather than parent systems
  if (forwards) {
    vectorPairInt::reverse_iterator rit;
    for (rit = parentSystems.rbegin(); rit < (parentSystems.rend() - 1);
         ++rit) {
      pairInt &cur  = *rit;
      pairInt &next = *(rit + 1);
      cur.first     = -cur.first;
      cur.second    = (next.second < 0) ? -event[abs(next.second)].mother1() :
                                           event[abs(next.second)].mother1();
    }
  }

  return parentSystems;
}

//--------------------------------------------------------------------------

// rescatterPropagateRecoil
//  Fix up momentum in all intermediate systems when radiator and recoiler
//  systems are different. The strategy is to look at all parent systems
//  from the radiator system and the recoiler system and find where they
//  intersect.

bool TimeShower::rescatterPropagateRecoil( Event& event, Vec4& pNew) {

  // Some useful variables for later
  int  iRadBef    = dipSel->iRadiator;
       iSysSel    = dipSel->system;
  int  iSysSelRec = dipSel->systemRec;
  Vec4 pImbal     = pNew - event[iRadBef].p();

  // Store changes locally at first in case we veto the branching
  // eventMod stores index into the event record and new 4-vector
  vector < pair < int, Vec4 > > eventMod;
  eventMod.reserve(10);
  // systemMod stores system index (iSys) and system-parton index (iMem)
  //   iMem >=  0 - index into outgoing partons (iOut)
  //   iMem == -1 - incoming A
  //   iMem == -2 - incoming B
  vectorPairInt systemMod;
  systemMod.reserve(10);

  // Find all parent systems from radiating and recoiling systems
  vectorPairInt radParent = findParentSystems(iSysSel, event,
                                              partonSystemsPtr, false);
  vectorPairInt recParent = findParentSystems(iSysSelRec, event,
                                              partonSystemsPtr, true);
  if (radParent.size() == 0 || recParent.size() == 0) {
    // This should never happen
    infoPtr->errorMsg("Error in TimeShower::rescatterPropagateRecoil: "
      "couldn't find parent system; branching vetoed");
    return false;
  }
  // Find the system that connects radiating and recoiling system
  bool foundPath = false;
  unsigned int iRadP = 0;
  unsigned int iRecP = 0;
  for (iRadP = 0; iRadP < radParent.size(); iRadP++) {
    for (iRecP = 0; iRecP < recParent.size(); iRecP++)
      if (abs(radParent[iRadP].first) == abs(recParent[iRecP].first)) {
        foundPath = true;
        break;
      }
    if (foundPath) break;
  }
  if (!foundPath) {
    // Can fail e.g. for QED dipoles where there is no connection
    // between radiator and recoiler systems
    infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
      "couldn't find recoil path; branching vetoed");
    return false;
  }

  // Join together to form complete path from radiating system
  // to recoiling system
  vectorPairInt path;
  if (radParent.size() > 1)
    path.assign(radParent.begin(), radParent.begin() + iRadP);
  if (recParent.size() > 1)
    path.insert(path.end(), recParent.rend() - iRecP - 1,
                recParent.rend() - 1);

  // Follow the path fixing up momenta as we go
  for (unsigned int i = 0; i < path.size(); i++) {
    // Line out of the current system
    bool isIncoming  = (path[i].first < 0) ? true : false;
    int  iSysCur     = abs(path[i].first);
    bool isIncomingA = (path[i].second > 0) ? true : false;
    int  iLink       = abs(path[i].second);

    int iMemCur;
    if (isIncoming) iMemCur = (isIncomingA) ? -1 : -2;
    else {
      iMemCur = -1;
      for (int j = 0; j < partonSystemsPtr->sizeOut(iSysCur); j++)
        if (partonSystemsPtr->getOut(iSysCur, j) == iLink) {
          iMemCur = j;
          break;
        }
      if (iMemCur == -1) {
        // This should never happen
        infoPtr->errorMsg("Error in TimeShower::rescatterPropagateRecoil: "
          "couldn't find parton system; branching vetoed");
        return false;
      }
    }

    Vec4 pMod = (isIncoming) ? event[iLink].p() + pImbal :
                               event[iLink].p() - pImbal;
    eventMod.push_back(pair  (iLink, pMod));
    systemMod.push_back(pairInt(iSysCur, iMemCur));

    // Calculate sHat of iSysCur
    int  iInCurA = partonSystemsPtr->getInA(iSysCur);
    int  iInCurB = partonSystemsPtr->getInB(iSysCur);
    Vec4 pTotCur = event[iInCurA].p() + event[iInCurB].p();

    // If iMemCur is -1 or -2, then we must have changed the sHat of iSysCur
    if (iMemCur < 0) pTotCur += (isIncoming) ? pImbal : -pImbal;
    double sHatCur = pTotCur.m2Calc();
 
    // The fixed-up incoming and outgoing partons should not have
    // too large a virtuality in relation to the system mass-square.
    if (abs(pMod.m2Calc()) > MAXVIRTUALITYFRACTION * sHatCur) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "virtuality much larger than sHat; branching vetoed");
      return false;
    }

    // Outgoing ones should also not have too large negative energy
    // in the rest frame of the system.
    if (!isIncoming && pMod * pTotCur < -MAXNEGENERGYFRACTION * sHatCur) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "rest frame energy too negative; branching vetoed");
      return false;
    }

    // Veto negative sHat.
    if (sHatCur < 0.0) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "sHat became negative; branching vetoed");
      return false;
    }

    // Line into the new current system
    iLink   = (isIncoming) ? event[iLink].mother1()  :
                             event[iLink].daughter1();
    iSysCur = partonSystemsPtr->getSystemOf(iLink, true);

    if (!isIncoming) iMemCur = (isIncomingA) ? -1 : -2;
    else {
      iMemCur = -1;
      for (int j = 0; j < partonSystemsPtr->sizeOut(iSysCur); j++)
        if (partonSystemsPtr->getOut(iSysCur, j) == iLink) {
          iMemCur = j;
          break;
        }
      if (iMemCur == -1) {
        // This should never happen
        infoPtr->errorMsg("Error in TimeShower::rescatterPropagateRecoil: "
          "couldn't find parton system; branching vetoed");
        return false;
      }
    }

    pMod = (isIncoming) ? event[iLink].p() + pImbal :
                          event[iLink].p() - pImbal;
    eventMod.push_back(pair  (iLink, pMod));
    systemMod.push_back(pairInt(iSysCur, iMemCur));

    // Calculate sHat of iSysCur
    iInCurA = partonSystemsPtr->getInA(iSysCur);
    iInCurB = partonSystemsPtr->getInB(iSysCur);
    pTotCur = event[iInCurA].p() + event[iInCurB].p();

    // If iMemCur is -1 or -2, then we must have changed the sHat of iSysCur
    if (iMemCur < 0) pTotCur += (isIncoming) ? pImbal : -pImbal;
    sHatCur = pTotCur.m2Calc();
 
    // The fixed-up incoming and outgoing partons should not have
    // too large a virtuality in relation to the system mass-square.
    if (abs(pMod.m2Calc()) > MAXVIRTUALITYFRACTION * sHatCur) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "virtuality much larger than sHat; branching vetoed");
      return false;
    }

    // Outgoing ones should also not have too large negative energy
    // in the rest frame of the system.
    if (!isIncoming && pMod * pTotCur < -MAXNEGENERGYFRACTION * sHatCur) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "rest frame energy too negative; branching vetoed");
      return false;
    }

    // Veto negative sHat
    if (sHatCur < 0.0) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "sHat became negative; branching vetoed");
      return false;
    }

    // Do negative energy veto
    if (VETONEGENERGY && pMod.e() < 0.0) {
      infoPtr->errorMsg("Warning in TimeShower::rescatterPropagateRecoil: "
        "energy became negative; branching vetoed");
      return false;
    }
    
  } // for (unsigned int i = 0; i < path.size(); i++)

  // If no vetos by this point, apply the changes to the event record
  // An incoming particle with changed momentum is given status code -54,
  // an outgoing particle with changed momentum is given status code -55
  for (unsigned int i = 0; i < eventMod.size(); i++) {
    int idx    = eventMod[i].first;
    Vec4 &pMod = eventMod[i].second;
    int iSys   = systemMod[i].first;
    int iMem   = systemMod[i].second;

    // If incoming to a process then set the copy to be the mother
    if (event[idx].isRescatteredIncoming()) {
      int mother1 = event[idx].mother1();
      idx = event.copy(idx, -54);
      event[mother1].daughters(idx, idx);
    
      // Update beam information if necessary
      double eCM = sqrt(m2( beamAPtr->p(), beamBPtr->p()));
      if        (iMem == -1) {
        partonSystemsPtr->setInA(iSys, idx);
        (*beamAPtr)[iSys].x((pMod.e() + pMod.pz()) / eCM);
        (*beamAPtr)[iSys].m(pMod.mCalc());
        (*beamAPtr)[iSys].p(pMod);
        (*beamAPtr)[iSys].iPos(idx);
      } else if (iMem == -2) {
        partonSystemsPtr->setInB(iSys, idx);
        (*beamBPtr)[iSys].x((pMod.e() - pMod.pz()) / eCM);
        (*beamBPtr)[iSys].m(pMod.mCalc());
        (*beamBPtr)[iSys].p(pMod);
        (*beamBPtr)[iSys].iPos(idx);
      } else {
        // This should never happen
        infoPtr->errorMsg("Error in TimeShower::rescatterPropagateRecoil: "
        "internal bookeeping error");
      }

    // Otherwise set the new event record entry to be the daughter
    } else {
      int daughter1 = event[idx].daughter1();
      idx = event.copy(idx, 55);
      event[idx].statusNeg();
      event[daughter1].mothers(idx, idx);

      partonSystemsPtr->setOut(iSys, iMem, idx);
    }

    event[idx].p( eventMod[i].second );
    event[idx].m( event[idx].mCalc() );
  }

  return true;
}


//--------------------------------------------------------------------------

// Find class of QCD ME correction.
// MEtype classification follow codes in Norrbin article,
// additionally -1 = try to find type, 0 = no ME corrections.
// Warning: not yet tried out to do a correct assignment in
// arbitrary multiparton configurations! ??

void TimeShower::findMEtype( Event& event, TimeDipoleEnd& dip) {

  // Initial value. Mark if no ME corrections to be applied.
  bool setME = true;
  if (!doMEcorrections) setME = false;
  int iMother  = event[dip.iRadiator].mother1();
  int iMother2 = event[dip.iRadiator].mother2();

  // Allow ME corrections for Hidden Valley pair in 2 -> 2.
  if (dip.isHiddenValley && event[dip.iRecoiler].id()
    == -event[dip.iRadiator].id());

  // Allow ME corrections for all weak branchings.
  else if (dip.weakType != 0);
  
  // Else no ME corrections in 2 -> n processes.
  else {
    if (iMother2 != iMother && iMother2 != 0) setME = false;
    if (event[dip.iRecoiler].mother1() != iMother)  setME = false;
    if (event[dip.iRecoiler].mother2() != iMother2) setME = false;
  }

  // No ME corrections for recoiler in initial state.
  if (event[dip.iRecoiler].status() < 0) setME = false;

  // No ME corrections for recoiler not in same system
  if (dip.system != dip.systemRec) setME = false;

  // Done if no ME to be set.
  if (!setME) {
    dip.MEtype = 0;
    return;
  }

  // If no ME partner set, assume it is the recoiler.
  if (dip.iMEpartner < 0) dip.iMEpartner = dip.iRecoiler;

  // Now begin processing of colour dipole, including Hidden Valley.
  if (dip.colType != 0 || dip.colvType != 0) {
    bool isHiddenColour = (dip.colvType != 0);

    // Find daughter types (may or may not be used later on).
    int idDau1      = event[dip.iRadiator].id();
    int idDau2      = event[dip.iMEpartner].id();
    int dau1Type    = findMEparticle(idDau1, isHiddenColour);
    int dau2Type    = findMEparticle(idDau2, isHiddenColour);
    int minDauType  = min(dau1Type, dau2Type);
    int maxDauType  = max(dau1Type, dau2Type);

    // Reorder dipole ends in kinematics. Split ME expression in two sides.
    dip.MEorder     = (dau2Type >= dau1Type);
    dip.MEsplit     = (maxDauType <= 6);
    dip.MEgluinoRec = false;
 
    // If type already set (or set not to have) then done.
    if (minDauType == 0 && dip.MEtype < 0) dip.MEtype = 0;
    if (dip.MEtype >= 0) return;
    dip.MEtype = 0;

    // For H -> gg -> ggg we found that DGLAP kernels do better than eikonal.
    if (dau1Type == 4 && dau2Type == 4) return;

    // Find mother type.
    int idMother = 0;
    if ( event[dip.iRecoiler].mother1() == iMother && iMother >= 0)
      idMother = event[iMother].id();
    int motherType = (idMother != 0)
      ? findMEparticle(idMother, isHiddenColour) : 0;

    // When a mother if not known then use colour and spin content to guess.
    if (motherType == 0) {
      int col1  = event[dip.iRadiator].col();
      int acol1 = event[dip.iRadiator].acol();
      int col2  = event[dip.iMEpartner].col();
      int acol2 = event[dip.iMEpartner].acol();
      // spinT = 0/1 = integer or half-integer.
      int spinT = ( event[dip.iRadiator].spinType()
                + event[dip.iMEpartner].spinType() )%2;
      // Colour singlet mother.
      if ( col1 == acol2 && acol1 == col2 )
        motherType = (spinT == 0) ? 7 : 9;
      // Colour octet mother.
      else if ( (col1 == acol2 && acol1 != 0 && col2 != 0)
        || (acol1 == col2 && col1 != 0 && acol2 != 0) )
        motherType = (spinT == 0) ? 4 : 5;
      // Colour triplet mother.
      else if ( (col1 == acol2 && acol1 != col2)
        || (acol1 == col2 && col1 != acol2) )
        motherType = (spinT == 0) ? 2 : 1;
      // If no colours are matched then cannot have common mother, so done.
      else return;
    }

    // Now start from default, which is eikonal ME corrections,
    // and try to find matching ME cases below.
    int MEkind = 0;
    int MEcombi = 4;
    dip.MEmix = 0.5;

    // Hidden Valley with massive gamma_v covered by two special cases.
    if (isHiddenColour && brokenHVsym) {
      MEkind = (dau2Type == 0 || dau2Type > 6) ? 30 : 31;
      dip.MEtype = 5 * MEkind + 1;
      return;
    }

    // Triplet recoiling against gluino needs enhanced radiation
    // to match to matrix elements.
    dip.MEgluinoRec = (dau1Type >= 1 && dau1Type <= 3 && dau2Type == 5);

    // Vector/axial vector -> q + qbar.
    if (minDauType == 1 && maxDauType == 1 &&
      (motherType == 4 || motherType == 7) ) {
      MEkind = 2;
      if (idMother == 21 || idMother == 22) MEcombi = 1;
      else if (idMother == 23 || idDau1 + idDau2 == 0) {
        MEcombi = 3;
        dip.MEmix = gammaZmix( event, iMother, dip.iRadiator, dip.iRecoiler );
      }
      else if (idMother == 24) MEcombi = 4;
    }
    // For chi -> chi q qbar, use V/A -> q qbar as first approximation.
    else if (minDauType == 1 && maxDauType == 1 && motherType == 9)
      MEkind = 2;

    // q -> q + V.
    else if (minDauType == 1 && maxDauType == 7 && motherType == 1)
      MEkind = 3;
      if (idDau1 == 22 || idDau2 == 22) MEcombi = 1;
 
    // Scalar/pseudoscalar -> q + qbar; q -> q + S.
    else if (minDauType == 1 && maxDauType == 1 && motherType == 8) {
      MEkind = 4;
      if (idMother == 25 || idMother == 35 || idMother == 37) MEcombi = 1;
      else if (idMother == 36) MEcombi = 2;
    }
    else if (minDauType == 1 && maxDauType == 8 && motherType == 1)
      MEkind = 5;
 
    // V -> ~q + ~qbar; ~q -> ~q + V; S -> ~q + ~qbar; ~q -> ~q + S.
    else if (minDauType == 2 && maxDauType == 2 && (motherType == 4
      || motherType == 7) ) MEkind = 6;
    else if (minDauType == 2 && (maxDauType == 4 || maxDauType == 7)
      && motherType == 2) MEkind = 7;
    else if (minDauType == 2 && maxDauType == 2 && motherType == 8)
      MEkind = 8;
    else if (minDauType == 2 && maxDauType == 8 && motherType == 2)
      MEkind = 9;
 
    // chi -> q + ~qbar; ~q -> q + chi; q -> ~q + chi.
    else if (minDauType == 1 && maxDauType == 2 && motherType == 9)
      MEkind = 10;
    else if (minDauType == 1 && maxDauType == 9 && motherType == 2)
      MEkind = 11;
    else if (minDauType == 2 && maxDauType == 9 && motherType == 1)
      MEkind = 12;
 
    // ~g -> q + ~qbar; ~q -> q + ~g; q -> ~q + ~g.
    else if (minDauType == 1 && maxDauType == 2 && motherType == 5)
      MEkind = 13;
    else if (minDauType == 1 && maxDauType == 5 && motherType == 2)
      MEkind = 14;
    else if (minDauType == 2 && maxDauType == 5 && motherType == 1)
      MEkind = 15;

    // In cases where coloured spin 1 particle involved use spin 0.
    // V_coloured -> q + l.
    else if (minDauType == 1 && maxDauType == 9 && motherType == 3)
      MEkind = 11;
    // q -> V_coloured + l;
    else if (minDauType == 3 && maxDauType == 9 && motherType == 1)
      MEkind = 12;

    // g (+V, S) -> ~g + ~g (eikonal approximation).
    else if (minDauType == 5 && maxDauType == 5) MEkind = 16;

    // Save ME type and gamma_5 admixture.
    dip.MEtype = 5 * MEkind + MEcombi;

  // Now begin processing of charge dipole - still primitive.
  } else if (dip.chgType != 0) {

    // Set defaults for QED case; then possibly done.
    dip.MEorder = true;
    dip.MEsplit = true;
    if (dip.MEtype >= 0) return;

    // So far only ME corrections for q qbar or l lbar.
    int idDau1 = event[dip.iRadiator].id();
    int idDau2 = event[dip.iMEpartner].id();
    if (abs(idDau1) < 9 && abs(idDau2) < 9 && idDau1 * idDau2 < 0) ;
    else if (abs(idDau1) > 10 && abs(idDau1) < 19 && abs(idDau2) > 10
      && abs(idDau2) < 19 && idDau1 * idDau2 < 0) ;
    else { dip.MEtype = 0; return; }

    // Distinguish charge sum != 0 or = 0; in latter assume vector source.
    dip.MEtype = 101;
    if (idDau1 + idDau2 == 0) dip.MEtype = 102;
    dip.MEmix = 1.;
  }

  // Identify 2 -> 2 processes for weak corrections.
  else if (dip.weakType == 1) {
    if (event[dip.iRadiator].id() == -event[dip.iRecoiler].id()
      || event[event[dip.iRadiator].mother1()].idAbs() == 24 
	|| infoPtr->nFinal() != 2) dip.MEtype = 200;
    else if (event[dip.iRadiator].idAbs() == 21
      || event[dip.iRecoiler].idAbs() == 21) dip.MEtype = 201;
    else if (event[dip.iRadiator].id() == event[dip.iRecoiler].id())
      dip.MEtype = 202;
    else dip.MEtype = 203;
  } else if (dip.weakType == 2) {
    if (event[dip.iRadiator].id() == -event[dip.iRecoiler].id()
      || event[event[dip.iRadiator].mother1()].idAbs() == 24) dip.MEtype = 205;
    else if (event[dip.iRadiator].idAbs() == 21
      || event[dip.iRecoiler].idAbs() == 21) dip.MEtype = 206;
    else if (event[dip.iRadiator].id() == event[dip.iRecoiler].id())
      dip.MEtype = 207;
    else dip.MEtype = 208;
  }

}

//--------------------------------------------------------------------------
 
// Find type of particle for ME type: 0 = unknown, 1 = quark, 2 = squark,
// 3 = spare triplet, 4 = gluon, 5 = gluino, 6 = spare octet,
// 7 = vector boson, 8 = colourless scalar, 9 = colourless spin 1/2.

int TimeShower::findMEparticle( int id, bool isHiddenColour) {

  // find colour and spin of particle.
  int type = 0;
  int colType = abs(particleDataPtr->colType(id));
  int spinType = particleDataPtr->spinType(id);

  // For hidden valley particle treat HV colour as normal one.
  // Note: no need to assign gv/gammav since not in ME.
  if (isHiddenColour) {
    colType = 0;
    int idAbs = abs(id);
    if (  (idAbs > 4900000 && idAbs < 4900007)
       || (idAbs > 4900010 && idAbs < 4900017)
       || idAbs == 4900101) colType = 1;
  }

  // Find particle type from colour and spin.
  if      (colType == 1 && spinType == 2) type = 1;
  else if (colType == 1 && spinType == 1) type = 2;
  else if (colType == 1)                  type = 3;
  else if (colType == 2 && spinType == 3) type = 4;
  else if (colType == 2 && spinType == 2) type = 5;
  else if (colType == 2)                  type = 6;
  else if (colType == 0 && spinType == 3) type = 7;
  else if (colType == 0 && spinType == 1) type = 8;
  else if (colType == 0 && spinType == 2) type = 9;

  // Done.
  return type;

}

//--------------------------------------------------------------------------

// Find mixture of V and A in gamma/Z: energy- and flavour-dependent.

double TimeShower::gammaZmix( Event& event, int iRes, int iDau1, int iDau2) {

  // Try to identify initial flavours; use e+e- as default.
  int idIn1 = -11;
  int idIn2 = 11;
  int iIn1  = (iRes >= 0) ? event[iRes].mother1() : -1;
  int iIn2  = (iRes >= 0) ? event[iRes].mother2() : -1;
  if (iIn1 >=0) idIn1 = event[iIn1].id();
  if (iIn2 >=0) idIn2 = event[iIn1].id();
         
  // In processes f + g/gamma -> f + Z only need find one fermion.
  if (idIn1 == 21 || idIn1 == 22) idIn1 = -idIn2;
  if (idIn2 == 21 || idIn2 == 22) idIn2 = -idIn1;
 
  // Initial flavours and couplings; return if don't make sense.
  if (idIn1 + idIn2 != 0 ) return 0.5;
  int idInAbs = abs(idIn1);
  if (idInAbs == 0 || idInAbs > 18 ) return 0.5;
  double ei = coupSMPtr->ef(idInAbs);
  double vi = coupSMPtr->vf(idInAbs);
  double ai = coupSMPtr->af(idInAbs);

  // Final flavours and couplings; return if don't make sense.
  if (event[iDau1].id() + event[iDau2].id() != 0) return 0.5;
  int idOutAbs = abs(event[iDau1].id());
  if (idOutAbs == 0 || idOutAbs >18 ) return 0.5;
  double ef = coupSMPtr->ef(idOutAbs);
  double vf = coupSMPtr->vf(idOutAbs);
  double af = coupSMPtr->af(idOutAbs);

  // Calculate prefactors for interference and resonance part.
  Vec4 psum = event[iDau1].p() + event[iDau2].p();
  double sH = psum.m2Calc();
  double intNorm = 2. * thetaWRat * sH * (sH - mZ*mZ)
    / ( pow2(sH - mZ*mZ) + pow2(sH * gammaZ / mZ) );
  double resNorm = pow2(thetaWRat * sH)
    / ( pow2(sH - mZ*mZ) + pow2(sH * gammaZ / mZ) );

  // Calculate vector and axial expressions and find mix.
  double vect = ei*ei * ef*ef + ei*vi * intNorm * ef*vf
    + (vi*vi + ai*ai) * resNorm * vf*vf;
  double axiv = (vi*vi + ai*ai) * resNorm * af*af;
  return vect / (vect + axiv);
}

//--------------------------------------------------------------------------

// Set up to calculate QCD ME correction with calcMEcorr.
// Normally for primary particles, but also from g/gamma -> f fbar.
  
double TimeShower::findMEcorr(TimeDipoleEnd* dip, Particle& rad,
  Particle& partner, Particle& emt, bool cutEdge) {
  
  // Initial values and matrix element kind.
  double wtME    = 1.;
  double wtPS    = 1.;
  int    MEkind  = dip->MEtype / 5;
  int    MEcombi = dip->MEtype % 5;

  // Construct ME variables.
  Vec4   sum     = rad.p() + partner.p() + emt.p();
  double eCMME   = sum.mCalc();
  double x1      = 2. * (sum * rad.p()) / pow2(eCMME);
  double x2      = 2. * (sum * partner.p()) / pow2(eCMME);
  double r1      = rad.m() / eCMME;
  double r2      = partner.m() / eCMME;
  double r3      = 0.;

  // Evaluate kinematics for Hidden Valley with massive gamma_v.
  double gammavCorr = 1.;
  if (dip->colvType != 0 && brokenHVsym) {
    r3              = emt.m() / eCMME;
    double x3Tmp    = 2. - x1 - x2;
    gammavCorr      = x3Tmp / (x3Tmp - kRad * (x1 + x3Tmp));
    // For Q_v Qbar_v pair correct kinematics to common average mass.
    if (MEkind == 31) {
      double m2Pair = (rad.p() + partner.p()).m2Calc();
      double m2Avg  = 0.5 * (rad.m2() + partner.m2())
                    - 0.25 * pow2(rad.m2() - partner.m2()) / m2Pair;
      r1            = sqrt(m2Avg) / eCMME;
      r2            = r1;
      double xShift = 0.5 * (x1 + x2) * (partner.m2() - rad.m2()) / m2Pair;
      x1           += xShift;
      x2           -= xShift;
    }
  }

  // Derived ME variables, suitably protected.
  double x1minus, x2minus, x3;
  if (cutEdge) {
    x1minus = max(XMARGIN, 1. + r1*r1 - r2*r2 - x1);
    x2minus = max(XMARGIN, 1. + r2*r2 - r1*r1 - x2) ;
    x3      = max(XMARGIN, 2. - x1 - x2);
  } else {
    x1minus = max(XMARGIN*XMARGIN, 1. + r1*r1 - r2*r2 - x1);
    x2minus = max(XMARGIN*XMARGIN, 1. + r2*r2 - r1*r1 - x2) ;
    x3      = max(XMARGIN*XMARGIN, 2. - x1 - x2);
  }

  // Begin processing of QCD dipoles.
  if (dip->colType !=0 || dip->colvType != 0) {

    // Evaluate normal ME, for proper order of particles.
    if (dip->MEorder) wtME = calcMEcorr(MEkind, MEcombi, dip->MEmix,
      x1, x2, r1, r2, r3, cutEdge);
    else wtME = calcMEcorr(MEkind, MEcombi, dip->MEmix,
      x2, x1, r2, r1, r3, cutEdge);

    // Split up total ME when two radiating particles.
    if (dip->MEsplit) wtME = wtME * x1minus / x3;

    // Evaluate shower rate to be compared with.
    wtPS = 2. / ( x3 * x2minus );
    if (dip->MEgluinoRec) wtPS *= 9./4.;
    if (dip->colvType != 0 && brokenHVsym) wtPS *= gammavCorr;
  
  // For generic charge combination currently only massless expression.
  // (Masses included only to respect phase space boundaries.)
  } else if (dip->chgType !=0 && dip->MEtype == 101) {
    double chg1 = particleDataPtr->charge(rad.id());
    double chg2 = particleDataPtr->charge(partner.id());
    wtME = (x1*x1 + x2*x2) * pow2( chg1 * x1minus / x3
      - chg2 * x2minus / x3 );
    wtPS = 2. * ( chg1*chg1 * x1minus / x3 + chg2*chg2 * x2minus / x3 );

  // For flavour neutral system assume vector source and include masses.
  } else if (dip->chgType !=0 && dip->MEtype == 102) {
    wtME = calcMEcorr(2, 1, dip->MEmix, x1, x2, r1, r2, 0., cutEdge)
      * x1minus / x3;
    wtPS = 2. / ( x3 * x2minus );
  }

  // Weak W and Z emissions, currently using same matrix element.
  // The s-channel corrections are handled with simple MEs.
  else if (dip->MEtype == 200 || dip->MEtype == 205) {
    r3   = emt.m() / eCMME;
    wtME = calcMEcorr(32, 1, dip->MEmix, x1, x2, r1, r2, r3, cutEdge)
      * x1minus / x3;
    wtPS = 8. / (x3 * x2minus);
    wtPS *= x3 / (x3 - kRad * (x1 + x3));
  }
  // The t-channel corrections are handled separately in findMEweak.
  else if (dip->MEtype == 201 || dip->MEtype == 202
       ||  dip->MEtype == 203 || dip->MEtype == 205
       ||  dip->MEtype == 206 || dip->MEtype == 207) return 1.;
       
  // Return ratio of actual ME to assumed PS rate of emission.
  if (wtME > wtPS) infoPtr->errorMsg("Warning in TimeShower::findMEcorr: "
    "ME weight above PS one");
  return wtME / wtPS;

}

//--------------------------------------------------------------------------

// Matrix elements for gluon (or photon) emission from
// a two-body state; to be used by the parton shower routine.
// Here x_i = 2 E_i/E_cm, r_i = m_i/E_cm and
// 1/sigma_0 d(sigma)/d(x_1)d(x_2) = (alpha-strong/2 pi) * C_F * (this),
// i.e. normalization is such that one recovers the familiar
// (x_1^2 + x_2^2)/((1-x_1)*(1-x_2)) for the massless case.
// Coupling structure:
// kind =  1 : eikonal soft-gluon expression (spin-independent)
//      =  2 : V -> q qbar (V = vector/axial vector colour singlet)
//      =  3 : q -> q V
//      =  4 : S -> q qbar (S = scalar/pseudoscalar colour singlet)
//      =  5 : q -> q S
//      =  6 : V -> ~q ~qbar (~q = squark)
//      =  7 : ~q -> ~q V
//      =  8 : S -> ~q ~qbar
//      =  9 : ~q -> ~q S
//      = 10 : chi -> q ~qbar (chi = neutralino/chargino)
//      = 11 : ~q -> q chi
//      = 12 : q -> ~q chi
//      = 13 : ~g -> q ~qbar
//      = 14 : ~q -> q ~g
//      = 15 : q -> ~q ~g
//      = 16 : (9/4)*(eikonal) for gg -> ~g ~g
//      = 30 : Dv -> d qv     (Dv= hidden valley fermion, qv= valley scalar)
//      = 31 : S  -> Dv Dvbar (S=scalar color singlet)
// Note that the order of the decay products is important.
// combi = 1 : pure non-gamma5, i.e. vector/scalar/...
//       = 2 : pure gamma5, i.e. axial vector/pseudoscalar/....
//       = 3 : mixture mix*(combi=1) + (1-mix)*(combi=2)
//       = 4 : mixture (combi=1) +- (combi=2)

double TimeShower::calcMEcorr( int kind, int combiIn, double mixIn,
  double x1, double x2, double r1, double r2, double r3, bool cutEdge) {

  // Frequent variable combinations.
  double x3     = 2. - x1 - x2;
  double x1s    = x1 * x1;
  double x2s    = x2 * x2;
  double x3s    = x3 * x3;
  double x1c    = x1 * x1s;
  double x2c    = x2 * x2s;
  double x3c    = x3 * x3s;
  double r1s    = r1 * r1;
  double r2s    = r2 * r2;
  double r1c    = r1 * r1s;
  double r2c    = r2 * r2s;
  double r1q    = r1s * r1s;
  double r2q    = r2s * r2s;
  double prop1  = 1. + r1s - r2s - x1;
  double prop2  = 1. + r2s - r1s - x2;
  double prop1s = prop1 * prop1;
  double prop2s = prop2 * prop2;
  double prop12 = prop1 * prop2;
  double prop13 = prop1 * x3;
  double prop23 = prop2 * x3;

  // Special case: Hidden-Valley massive photon.
  double r3s    = r3 * r3;
  double prop3  = r3s - x3;
  double prop3s = prop3 * prop3;
  if (kind == 30) prop13 = prop1 * prop3;

  // Check input values. Return zero outside allowed phase space.
  if (cutEdge) {
    if (x1 - 2.*r1 < XMARGIN || prop1 < XMARGIN) return 0.;
    if (x2 - 2.*r2 < XMARGIN || prop2 < XMARGIN) return 0.;
    // Limits not worked out for r3 > 0.
    if (kind != 30 && kind != 31) {
      if (x1 + x2 - 1. - pow2(r1+r2) < XMARGIN) return 0.;
      // Note: equivalent rewritten form 4. * ( (1. - x1) * (1. - x2)
      // * (1. - r1s - r2s - x3) + r1s * (1. - x2s - x3) + r2s
      // * (1. - x1s - x3) - pow2(r1s - r2s) ) gives about same result.
      if ( (x1s - 4.*r1s) * (x2s - 4.*r2s)
        - pow2( 2. * (1. - x1 - x2 + r1s + r2s) + x1*x2 )
        < XMARGIN * (XMARGINCOMB + r1 + r2) ) return 0.;
    }
  }

  // Initial values; phase space.
  int combi   = max(1, min(4, combiIn) );
  double mix  = max(0., min(1., mixIn) );
  bool isSet1 = false;
  bool isSet2 = false;
  bool isSet4 = false;
  double ps = sqrtpos( pow2(1. - r1*r1 - r2*r2) - pow2(2. * r1 * r2) );
  double rLO = 0., rFO = 0., rLO1 = 0., rFO1 = 0., rLO2 = 0.,
    rFO2 = 0., rLO4 = 0., rFO4 = 0.;
  double offset = 0;
 
  // Select which kind of ME to use.
  switch (kind) {

    // case 1 is equal to default, i.e. eikonal expression.

    // V -> q qbar (V = gamma*/Z0/W+-/...).
    case 2:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(2.-r1s-r1q+6.*r1*r2-r2s+2.*r1s*r2s-r2q)/2.;
        rFO1 = -(3.+6.*r1s+r1q-6.*r1*r2+6.*r1c*r2-2.*r2s-6.*r1s*r2s
        +6.*r1*r2c+r2q-3.*x1+6.*r1*r2*x1+2.*r2s*x1+x1s-2.*r1s*x1s
        +3.*r1s*x3+6.*r1*r2*x3-r2s*x3-2.*x1*x3-5.*r1s*x1*x3
        +r2s*x1*x3+x1s*x3-3.*x3s-3.*r1s*x3s+r2s*x3s
        +2.*x1*x3s+x3c-x2)
        /prop2s
        -2.*(-3.+r1s-6.*r1*r2+6.*r1c*r2+3.*r2s-4.*r1s*r2s
        +6.*r1*r2c+2.*x1+3.*r1s*x1+r2s*x1-x1s-r1s*x1s
        -r2s*x1s+4.*x3+2.*r1s*x3+3.*r1*r2*x3-r2s*x3-3.*x1*x3
        -2.*r1s*x1*x3+x1s*x3-x3s-r1s*x3s+r1*r2*x3s+x1*x3s)
        /prop12
        -(-1.+2.*r1s+r1q+6.*r1*r2+6.*r1c*r2-2.*r2s-6.*r1s*r2s
        +6.*r1*r2c+r2q-x1-2.*r1s*x1-6.*r1*r2*x1+8.*r2s*x1+x1s
        -2.*r2s*x1s-r1s*x3+r2s*x3-r1s*x1*x3+r2s*x1*x3+x1s*x3+x2)
        /prop1s;
        rFO1 = rFO1/2.;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(2.-r1s-r1q-6.*r1*r2-r2s+2.*r1s*r2s-r2q)/2.;
        rFO2 = -(3.+6.*r1s+r1q+6.*r1*r2-6.*r1c*r2-2.*r2s-6.*r1s*r2s
        -6.*r1*r2c+r2q-3.*x1-6.*r1*r2*x1+2.*r2s*x1+x1s-2.*r1s*x1s
        +3.*r1s*x3-6.*r1*r2*x3-r2s*x3-2.*x1*x3-5.*r1s*x1*x3
        +r2s*x1*x3+x1s*x3-3.*x3s-3.*r1s*x3s+r2s*x3s+2.*x1*x3s+x3c-x2)
        /prop2s
        -2.*(-3+r1s+6.*r1*r2-6.*r1c*r2+3.*r2s-4.*r1s*r2s-6.*r1*r2c
        +2.*x1+3.*r1s*x1+r2s*x1-x1s-r1s*x1s-r2s*x1s+4.*x3+2.*r1s*x3
        -3.*r1*r2*x3-r2s*x3-3.*x1*x3-2.*r1s*x1*x3+x1s*x3-x3s-r1s*x3s
        -r1*r2*x3s+x1*x3s)
        /prop12
        -(-1.+2.*r1s+r1q-6.*r1*r2-6.*r1c*r2-2.*r2s-6.*r1s*r2s
        -6.*r1*r2c+r2q-x1-2.*r1s*x1+6.*r1*r2*x1+8.*r2s*x1+x1s
        -2.*r2s*x1s-r1s*x3+r2s*x3-r1s*x1*x3+r2s*x1*x3+x1s*x3+x2)
        /prop1s;
        rFO2 = rFO2/2.;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(2.-r1s-r1q-r2s+2.*r1s*r2s-r2q)/2.;
        rFO4 = (1.-r1q+6.*r1s*r2s-r2q+x1+3.*r1s*x1-9.*r2s*x1-3.*x1s
        -r1s*x1s+3.*r2s*x1s+x1c-x2-r1s*x2+r2s*x2-r1s*x1*x2+r2s*x1*x2
        +x1s*x2)
        /prop1s
        -2.*(1.+r1s+r2s-4.*r1s*r2s+r1s*x1+2.*r2s*x1-x1s-r2s*x1s
        +2.*r1s*x2+r2s*x2-3.*x1*x2+x1s*x2-x2s-r1s*x2s+x1*x2s)
        /prop12
        +(1.-r1q+6.*r1s*r2s-r2q-x1+r1s*x1-r2s*x1+x2-9.*r1s*x2
        +3.*r2s*x2+r1s*x1*x2-r2s*x1*x2-3.*x2s+3.*r1s*x2s-r2s*x2s
        +x1*x2s+x2c)
        /prop2s;
        rFO4 = rFO4/2.;
        isSet4 = true;
      }
      break;
 
    // q -> q V.
    case 3:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.-2.*r1s+r1q+r2s-6.*r1*r2s+r1s*r2s-2.*r2q);
        rFO1 = -2.*(-1.+r1-2.*r1s+2.*r1c-r1q+pow5(r1)-r2s+r1*r2s
        -5.*r1s*r2s+r1c*r2s-2.*r1*r2q+2.*x1-2.*r1*x1+2.*r1s*x1
        -2.*r1c*x1+2.*r2s*x1+5.*r1*r2s*x1+r1s*r2s*x1+2.*r2q*x1
        -x1s+r1*x1s-r2s*x1s+3.*x2+4.*r1s*x2+r1q*x2+2.*r2s*x2
        +2.*r1s*r2s*x2-4.*x1*x2-2.*r1s*x1*x2-r2s*x1*x2+x1s*x2
        -2.*x2s-2.*r1s*x2s+x1*x2s)
        /prop23
        +(2.*r2s+6.*r1*r2s-6.*r1s*r2s+6.*r1c*r2s+2.*r2q+6.*r1*r2q
        -r2s*x1+r1s*r2s*x1-r2q*x1+x2-r1q*x2-3.*r2s*x2-6.*r1*r2s*x2
        +9.*r1s*r2s*x2-2.*r2q*x2-x1*x2+r1s*x1*x2-x2s-3.*r1s*x2s
        +2.*r2s*x2s+x1*x2s)
        /prop2s
        +(-4.-8.*r1s-4.*r1q+4.*r2s-4.*r1s*r2s+8.*r2q+9.*x1+10.*r1s*x1
        +r1q*x1-3.*r2s*x1+6.*r1*r2s*x1+r1s*r2s*x1-2.*r2q*x1-6.*x1s-
        2.*r1s*x1s+x1c+7.*x2+8.*r1s*x2+r1q*x2-7.*r2s*x2+6.*r1*r2s*x2
        +r1s*r2s*x2-2.*r2q*x2-9.*x1*x2-3.*r1s*x1*x2+2.*r2s*x1*x2
        +2.*x1s*x2-3.*x2s-r1s*x2s+2.*r2s*x2s+x1*x2s)
        /x3s;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-2.*r1s+r1q+r2s+6.*r1*r2s+r1s*r2s-2.*r2q);
        rFO2 = 2*(1.+r1+2.*r1s+2.*r1c+r1q+pow5(r1)+r2s+r1*r2s
        +5.*r1s*r2s+r1c*r2s-2.*r1*r2q-2.*x1-2.*r1*x1-2.*r1s*x1
        -2.*r1c*x1-2.*r2s*x1+5.*r1*r2s*x1-r1s*r2s*x1-2.*r2q*x1+x1s
        +r1*x1s+r2s*x1s-3.*x2-4.*r1s*x2-r1q*x2-2.*r2s*x2
        -2.*r1s*r2s*x2+4.*x1*x2+2.*r1s*x1*x2+r2s*x1*x2-x1s*x2
        +2.*x2s+2.*r1s*x2s-x1*x2s)
        /prop23
        +(2.*r2s-6.*r1*r2s-6.*r1s*r2s-6.*r1c*r2s+2.*r2q-6.*r1*r2q
        -r2s*x1+r1s*r2s*x1-r2q*x1+x2-r1q*x2-3.*r2s*x2+6.*r1*r2s*x2
        +9.*r1s*r2s*x2-2.*r2q*x2-x1*x2+r1s*x1*x2-x2s-3.*r1s*x2s
        +2.*r2s*x2s+x1*x2s)
        /prop2s
        +(-4.-8.*r1s-4.*r1q+4.*r2s-4.*r1s*r2s+8.*r2q+9.*x1+10.*r1s*x1
        +r1q*x1-3.*r2s*x1-6.*r1*r2s*x1+r1s*r2s*x1-2.*r2q*x1-6.*x1s
        -2.*r1s*x1s+x1c+7.*x2+8.*r1s*x2+r1q*x2-7.*r2s*x2-6.*r1*r2s*x2
        +r1s*r2s*x2-2.*r2q*x2-9.*x1*x2-3.*r1s*x1*x2+2.*r2s*x1*x2
        +2.*x1s*x2-3.*x2s-r1s*x2s+2.*r2s*x2s+x1*x2s)
        /x3s;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.-2.*r1s+r1q+r2s+r1s*r2s-2.*r2q);
        rFO4 = 2*(1.+2.*r1s+r1q+r2s+5.*r1s*r2s-2.*x1-2.*r1s*x1
        -2.*r2s*x1-r1s*r2s*x1-2.*r2q*x1+x1s+r2s*x1s-3.*x2-4.*r1s*x2
        -r1q*x2-2.*r2s*x2-2.*r1s*r2s*x2+4.*x1*x2+2.*r1s*x1*x2+r2s*x1*x2
        -x1s*x2+2.*x2s+2.*r1s*x2s-x1*x2s)
        /prop23
        +(2.*r2s-6.*r1s*r2s+2.*r2q-r2s*x1+r1s*r2s*x1-r2q*x1+x2-r1q*x2
        -3.*r2s*x2+9.*r1s*r2s*x2-2.*r2q*x2-x1*x2+r1s*x1*x2-x2s-3.*r1s*x2s
        +2.*r2s*x2s+x1*x2s)
        /prop2s
        +(-4.-8.*r1s-4.*r1q+4.*r2s-4.*r1s*r2s+8.*r2q+9.*x1+10.*r1s*x1
        +r1q*x1-3.*r2s*x1+r1s*r2s*x1-2.*r2q*x1-6.*x1s-2.*r1s*x1s+x1c
        +7.*x2+8.*r1s*x2+r1q*x2-7.*r2s*x2+r1s*r2s*x2-2.*r2q*x2-9.*x1*x2
        -3.*r1s*x1*x2+2.*r2s*x1*x2+2.*x1s*x2-3.*x2s-r1s*x2s+2.*r2s*x2s
        +x1*x2s)
        /x3s;
        isSet4 = true;
      }
      break;
 
    // S -> q qbar    (S = h0/H0/A0/H+-/...).
    case 4:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.-r1s-r2s-2.*r1*r2);
        rFO1 = -(-1.+r1q-2.*r1*r2-2.*r1c*r2-6.*r1s*r2s-2.*r1*r2c+r2q+x1
        -r1s*x1+2.*r1*r2*x1+3.*r2s*x1+x2+r1s*x2-r2s*x2-x1*x2)
        /prop1s
        -2.*(r1s+r1q-2.*r1c*r2+r2s-6.*r1s*r2s-2.*r1*r2c+r2q-r1s*x1
        +r1*r2*x1+2.*r2s*x1+2.*r1s*x2+r1*r2*x2-r2s*x2-x1*x2)
        /prop12
        -(-1.+r1q-2.*r1*r2-2.*r1c*r2-6.*r1s*r2s-2.*r1*r2c+r2q+x1-r1s*x1
        +r2s*x1+x2+3.*r1s*x2+2.*r1*r2*x2-r2s*x2-x1*x2)
        /prop2s;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-r1s-r2s+2.*r1*r2);
        rFO2 = -(-1.+r1q+2.*r1*r2+2.*r1c*r2-6.*r1s*r2s+2.*r1*r2c+r2q+x1
        -r1s*x1-2.*r1*r2*x1+3.*r2s*x1+x2+r1s*x2-r2s*x2-x1*x2)
        /prop1s
        -(-1.+r1q+2.*r1*r2+2.*r1c*r2-6.*r1s*r2s+2.*r1*r2c+r2q+x1
        -r1s*x1+r2s*x1+x2+3.*r1s*x2-2.*r1*r2*x2-r2s*x2-x1*x2)
        /prop2s
        +2.*(-r1s-r1q-2.*r1c*r2-r2s+6.*r1s*r2s-2.*r1*r2c-r2q+r1s*x1
        +r1*r2*x1-2.*r2s*x1-2.*r1s*x2+r1*r2*x2+r2s*x2+x1*x2)
        /prop12;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.-r1s-r2s);
        rFO4 = -(-1.+r1q-6.*r1s*r2s+r2q+x1-r1s*x1+3.*r2s*x1+x2
        +r1s*x2-r2s*x2-x1*x2)
        /prop1s
        -2.*(r1s+r1q+r2s-6.*r1s*r2s+r2q-r1s*x1
        +2.*r2s*x1+2.*r1s*x2-r2s*x2-x1*x2)
        /prop12
        -(-1.+r1q-6.*r1s*r2s+r2q+x1-r1s*x1+r2s*x1
        +x2+3.*r1s*x2-r2s*x2-x1*x2)
        /prop2s;
        isSet4 = true;
      }
      break;
 
    // q -> q S.
    case 5:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.+r1s-r2s+2.*r1);
        rFO1 = (4.-4.*r1s+4.*r2s-3.*x1-2.*r1*x1+r1s*x1-r2s*x1-5.*x2
        -2.*r1*x2+r1s*x2-r2s*x2+x1*x2+x2s)
        /x3s
        -2.*(3.-r1-5.*r1s-r1c+3.*r2s+r1*r2s-2.*x1-r1*x1
        +r1s*x1-4.*x2+2.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop23
        +(2.-2.*r1-6.*r1s-2.*r1c+2.*r2s-2.*r1*r2s-x1+r1s*x1
        -r2s*x1-3.*x2+2.*r1*x2+3.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop2s;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.+r1s-r2s-2.*r1);
        rFO2 = (4.-4.*r1s+4.*r2s-3.*x1+2.*r1*x1+r1s*x1-r2s*x1-5.*x2
        +2.*r1*x2+r1s*x2-r2s*x2+x1*x2+x2s)
        /x3s
        -2.*(3.+r1-5.*r1s+r1c+3.*r2s-r1*r2s-2.*x1+r1*x1
        +r1s*x1-4.*x2+2.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop23
        +(2.+2.*r1-6.*r1s+2.*r1c+2.*r2s+2.*r1*r2s-x1+r1s*x1
        -r2s*x1-3.*x2-2.*r1*x2+3.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop2s;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.+r1s-r2s);
        rFO4 = (4.-4.*r1s+4.*r2s-3.*x1+r1s*x1-r2s*x1-5.*x2+r1s*x2
        -r2s*x2+x1*x2+x2s)
        /x3s
        -2.*(3.-5.*r1s+3.*r2s-2.*x1+r1s*x1-4.*x2+2.*r1s*x2
        -r2s*x2+x1*x2+x2s)
        /prop23
        +(2.-6.*r1s+2.*r2s-x1+r1s*x1-r2s*x1-3.*x2+3.*r1s*x2
        -r2s*x2+x1*x2+x2s)
        /prop2s;
        isSet4 = true;
      }
      break;
 
    // V -> ~q ~qbar  (~q = squark).
    case 6:
      rLO1 = ps*(1.-2.*r1s+r1q-2.*r2s-2.*r1s*r2s+r2q);
      rFO1 = 2.*3.+(1.+r1s+r2s-x1)*(4.*r1s-x1s)
      /prop1s
      +2.*(-1.-3.*r1s-r2s+x1+x1s*0.5+x2-x1*x2*0.5)
      /prop1
      +(1.+r1s+r2s-x2)*(4.*r2s-x2s)
      /prop2s
      +2.*(-1.-r1s-3.*r2s+x1+x2-x1*x2*0.5+x2s*0.5)
      /prop2
      -(-4.*r1s-4.*r1q-4.*r2s-8.*r1s*r2s-4.*r2q+2.*x1+6.*r1s*x1
      +6.*r2s*x1-2.*x1s+2.*x2+6.*r1s*x2+6.*r2s*x2-4.*x1*x2
      -2.*r1s*x1*x2-2.*r2s*x1*x2+x1s*x2-2.*x2s+x1*x2s)
      /prop12;
      isSet1 = true;
      break;
 
    // ~q -> ~q V.
    case 7:
      rLO1 = ps*(1.-2.*r1s+r1q-2.*r2s-2.*r1s*r2s+r2q);
      rFO1 = 16.*r2s-8.*(4.*r2s+2.*r2s*x1+x2+r1s*x2+r2s*x2-x1*x2
      -2.*x2s)
      /(3.*prop2)
      +8.*(1.+r1s+r2s-x2)*(4.*r2s-x2s)
      /(3.*prop2s)
      +8.*(x1+x2)*(-1.-2.*r1s-r1q-2.*r2s+2.*r1s*r2s-r2q+2.*x1
      +2.*r1s*x1+2.*r2s*x1-x1s+2.*x2+2.*r1s*x2+2.*r2s*x2-2.*x1*x2-x2s)
      /(3.*x3s)
      +8.*(-1.-r1s+r2s-x1)*(2.*r2s*x1+x2+r1s*x2+r2s*x2-x1*x2-x2s)
      /(3.*prop2*x3)
      -8.*(1.+2.*r1s+r1q+2.*r2s-2.*r1s*r2s+r2q-2.*x1-2.*r1s*x1
      -4.*r2s*x1+x1s-3.*x2-3.*r1s*x2-3.*r2s*x2+3.*x1*x2+2.*x2s)
      /(3.*x3);
      rFO1 = 3.*rFO1/8.;
      isSet1 = true;
      break;
 
    // S -> ~q ~qbar.
    case 8:
      rLO1 = ps;
      rFO1 = (-1.-2.*r1s-r1q-2.*r2s+2.*r1s*r2s-r2q+2.*x1+2.*r1s*x1
      +2.*r2s*x1-x1s-r2s*x1s+2.*x2+2.*r1s*x2+2.*r2s*x2-3.*x1*x2
      -r1s*x1*x2-r2s*x1*x2+x1s*x2-x2s-r1s*x2s+x1*x2s)
      /(prop1s*prop2s);
      rFO1 = 2.*rFO1;
      isSet1 = true;
      break;
 
    // ~q -> ~q S.
    case 9:
      rLO1 = ps;
      rFO1 = (-1.-r1s-r2s+x2)
      /prop2s
      +(1.+r1s-r2s+x1)
      /prop23
      -(x1+x2)
      /x3s;
      isSet1 = true;
      break;
 
    // chi -> q ~qbar   (chi = neutralino/chargino).
    case 10:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.+r1s-r2s+2.*r1);
        rFO1 = (2.*r1+x1)*(-1.-r1s-r2s+x1)
        /prop1s
        +2.*(-1.-r1s-2.*r1c-r2s-2.*r1*r2s+3.*x1*0.5+r1*x1
        -r1s*x1*0.5-r2s*x1*0.5+x2+r1*x2+r1s*x2-x1*x2*0.5)
        /prop12
        +(2.-2.*r1-6.*r1s-2.*r1c+2.*r2s-2.*r1*r2s-x1+r1s*x1
        -r2s*x1-3.*x2+2.*r1*x2+3.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop2s;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-2.*r1+r1s-r2s);
        rFO2 = (2.*r1-x1)*(1.+r1s+r2s-x1)
        /prop1s
        +2.*(-1.-r1s+2.*r1c-r2s+2.*r1*r2s+3.*x1*0.5-r1*x1
        -r1s*x1*0.5-r2s*x1*0.5+x2-r1*x2+r1s*x2-x1*x2*0.5)
        /prop12
        +(2.+2.*r1-6.*r1s+2.*r1c+2.*r2s+2.*r1*r2s-x1+r1s*x1
        -r2s*x1-3.*x2-2.*r1*x2+3.*r1s*x2-r2s*x2+x1*x2+x2s)/
        prop2s;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.+r1s-r2s);
        rFO4 = x1*(-1.-r1s-r2s+x1)
        /prop1s
        +2.*(-1.-r1s-r2s+3.*x1*0.5-r1s*x1*0.5-r2s*x1*0.5
        +x2+r1s*x2-x1*x2*0.5)
        /prop12
        +(2.-6.*r1s+2.*r2s-x1+r1s*x1-r2s*x1-3.*x2+3.*r1s*x2
        -r2s*x2+x1*x2+x2s)
        /prop2s;
        isSet4 = true;
      }
      break;
 
    // ~q -> q chi.
    case 11:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.-pow2(r1+r2));
        rFO1 = (1.+r1s+2.*r1*r2+r2s-x1-x2)*(x1+x2)
        /x3s
        -(-1.+r1q-2.*r1*r2-2.*r1c*r2-6.*r1s*r2s-2.*r1*r2c+r2q+x1
        -r1s*x1+r2s*x1+x2+3.*r1s*x2+2.*r1*r2*x2-r2s*x2-x1*x2)
        /prop2s
        +(-1.-2.*r1s-r1q-2.*r1*r2-2.*r1c*r2+2.*r1*r2c+r2q+x1+r1s*x1
        -2.*r1*r2*x1-3.*r2s*x1+2.*r1s*x2-2.*r2s*x2+x1*x2+x2s)
        /prop23;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-pow2(r1-r2));
        rFO2 = (1.+r1s-2.*r1*r2+r2s-x1-x2)*(x1+x2)
        /x3s
        -(-1.+r1q+2.*r1*r2+2.*r1c*r2-6.*r1s*r2s+2.*r1*r2c+r2q+x1
        -r1s*x1+r2s*x1+x2+3.*r1s*x2-2.*r1*r2*x2-r2s*x2-x1*x2)
        /prop2s
        +(-1.-2.*r1s-r1q+2.*r1*r2+2.*r1c*r2-2.*r1*r2c+r2q+x1+r1s*x1
        +2.*r1*r2*x1-3.*r2s*x1+2.*r1s*x2-2.*r2s*x2+x1*x2+x2s)
        /prop23;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.-r1s-r2s);
        rFO4 = (1.+r1s+r2s-x1-x2)*(x1+x2)
        /x3s
        -(-1.+r1q-6.*r1s*r2s+r2q+x1-r1s*x1+r2s*x1+x2
        +3.*r1s*x2-r2s*x2-x1*x2)
        /prop2s
        +(-1.-2.*r1s-r1q+r2q+x1+r1s*x1-3.*r2s*x1
        +2.*r1s*x2-2.*r2s*x2+x1*x2+x2s)
        /prop23;
        isSet4 = true;
      }
      break;
 
    // q -> ~q chi.
    case 12:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.-r1s+r2s+2.*r2);
        rFO1 = (2.*r2+x2)*(-1.-r1s-r2s+x2)
        /prop2s
        +(4.+4.*r1s-4.*r2s-5.*x1-r1s*x1-2.*r2*x1+r2s*x1+x1s
        -3.*x2-r1s*x2-2.*r2*x2+r2s*x2+x1*x2)
        /x3s
        +2.*(-1.-r1s+r2+r1s*r2-r2s-r2c+x1+r2*x1+r2s*x1+2.*x2
        +r1s*x2-x1*x2*0.5-x2s*0.5)
        /prop23;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-r1s+r2s-2.*r2);
        rFO2 = (2.*r2-x2)*(1.+r1s+r2s-x2)
        /prop2s
        +(4.+4.*r1s-4.*r2s-5.*x1-r1s*x1+2.*r2*x1+r2s*x1+x1s
        -3.*x2-r1s*x2+2.*r2*x2+r2s*x2+x1*x2)
        /x3s
        +2.*(-1.-r1s-r2-r1s*r2-r2s+r2c+x1-r2*x1+r2s*x1+2.*x2
        +r1s*x2-x1*x2*0.5-x2s*0.5)
        /prop23;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.-r1s+r2s);
        rFO4 = x2*(-1.-r1s-r2s+x2)
        /prop2s
        +(4.+4.*r1s-4.*r2s-5.*x1-r1s*x1+r2s*x1+x1s
        -3.*x2-r1s*x2+r2s*x2+x1*x2)
        /x3s
        +2.*(-1.-r1s-r2s+x1+r2s*x1+2.*x2
        +r1s*x2-x1*x2*0.5-x2s*0.5)
        /prop23;
        isSet4 = true;
      }
      break;
 
    // ~g -> q ~qbar.
    case 13:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.+r1s-r2s+2.*r1);
        rFO1 = 4.*(2.*r1+x1)*(-1.-r1s-r2s+x1)
        /(3.*prop1s)
        -(-1.-r1s-2.*r1c-r2s-2.*r1*r2s+3.*x1*0.5+r1*x1-r1s*x1*0.5
        -r2s*x1*0.5+x2+r1*x2+r1s*x2-x1*x2*0.5)
        /(3.*prop12)
        +3.*(-1.+r1-r1s-r1c-r2s+r1*r2s+2.*x1+r2s*x1-x1s*0.5+x2+r1*x2
        +r1s*x2-x1*x2*0.5)
        /prop13
        +3.*(4.-4.*r1s+4.*r2s-3.*x1-2.*r1*x1+r1s*x1-r2s*x1-5.*x2
        -2.*r1*x2+r1s*x2-r2s*x2+x1*x2+x2s)
        /x3s
        -3.*(3.-r1-5.*r1s-r1c+3.*r2s+r1*r2s-2.*x1-r1*x1+r1s*x1
        -4.*x2+2.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop23
        +4.*(2.-2.*r1-6.*r1s-2.*r1c+2.*r2s-2.*r1*r2s-x1+r1s*x1-r2s*x1
        -3.*x2+2.*r1*x2+3.*r1s*x2-r2s*x2+x1*x2+x2s)
        /(3.*prop2s);
        rFO1 = 3.*rFO1/4.;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.+r1s-r2s-2.*r1);
        rFO2 = 4.*(2.*r1-x1)*(1.+r1s+r2s-x1)
        /(3.*prop1s)
        +3.*(-1.-r1-r1s+r1c-r2s-r1*r2s+2.*x1+r2s*x1-x1s*0.5
        +x2-r1*x2+r1s*x2-x1*x2*0.5)
        /prop13
        +(2.+2.*r1s-4.*r1c+2.*r2s-4.*r1*r2s-3.*x1+2.*r1*x1
        +r1s*x1+r2s*x1-2.*x2+2.*r1*x2-2.*r1s*x2+x1*x2)
        /(6.*prop12)
        +3.*(4.-4.*r1s+4.*r2s-3.*x1+2.*r1*x1+r1s*x1-r2s*x1-5.*x2
        +2.*r1*x2+r1s*x2-r2s*x2+x1*x2+x2s)
        /x3s
        -3.*(3.+r1-5.*r1s+r1c+3.*r2s-r1*r2s-2.*x1+r1*x1+r1s*x1-4.*x2
        +2.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop23
        +4.*(2.+2.*r1-6.*r1s+2.*r1c+2.*r2s+2.*r1*r2s-x1+r1s*x1-r2s*x1
        -3.*x2-2.*r1*x2+3.*r1s*x2-r2s*x2+x1*x2+x2s)
        /(3.*prop2s);
        rFO2 = 3.*rFO2/4.;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.+r1s-r2s);
        rFO4 = 8.*x1*(-1.-r1s-r2s+x1)
        /(3.*prop1s)
        +6.*(-1-r1s-r2s+2.*x1+r2s*x1-x1s*0.5+x2+r1s*x2-x1*x2*0.5)
        /prop13
        +(2.+2.*r1s+2.*r2s-3.*x1+r1s*x1+r2s*x1-2.*x2-2.*r1s*x2+x1*x2)
        /(3.*prop12)
        +6.*(4.-4.*r1s+4.*r2s-3.*x1+r1s*x1-r2s*x1-5.*x2+r1s*x2-r2s*x2
        +x1*x2+x2s)
        /x3s
        -6.*(3.-5.*r1s+3.*r2s-2.*x1+r1s*x1-4.*x2+2.*r1s*x2-r2s*x2+x1*x2+x2s)
        /prop23
        +8.*(2.-6.*r1s+2.*r2s-x1+r1s*x1-r2s*x1-3.*x2+3.*r1s*x2-r2s*x2
        +x1*x2+x2s)
        /(3.*prop2s);
        rFO4 = 3.*rFO4/8.;
        isSet4 = true;
      }
      break;
 
    // ~q -> q ~g.
    case 14:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.-r1s-r2s-2.*r1*r2);
        rFO1 = 64.*(1.+r1s+2.*r1*r2+r2s-x1-x2)*(x1+x2)
        /(9.*x3s)
        -16.*(-1.+r1q-2.*r1*r2-2.*r1c*r2-6.*r1s*r2s-2.*r1*r2c+r2q
        +x1-r1s*x1+2.*r1*r2*x1+3.*r2s*x1+x2+r1s*x2-r2s*x2-x1*x2)
        /prop1s
        -16.*(r1s+r1q-2.*r1c*r2+r2s-6.*r1s*r2s-2.*r1*r2c+r2q-r1s*x1
        +r1*r2*x1+2.*r2s*x1+2.*r1s*x2+r1*r2*x2-r2s*x2-x1*x2)
        /prop12
        -64.*(-1.+r1q-2.*r1*r2-2.*r1c*r2-6.*r1s*r2s-2.*r1*r2c+r2q+x1
        -r1s*x1+r2s*x1+x2+3.*r1s*x2+2.*r1*r2*x2-r2s*x2-x1*x2)
        /(9.*prop2s)
        +8.*(-1.+r1q-2.*r1*r2+2.*r1c*r2-2.*r2s-2.*r1*r2c-r2q-2.*r1s*x1
        +2.*r2s*x1+x1s+x2-3.*r1s*x2-2.*r1*r2*x2+r2s*x2+x1*x2)
        /prop13
        -8.*(-1.-2.*r1s-r1q-2.*r1*r2-2.*r1c*r2+2.*r1*r2c+r2q+x1+r1s*x1
        -2.*r1*r2*x1-3.*r2s*x1+2.*r1s*x2-2.*r2s*x2+x1*x2+x2s)
        /(9.*prop23);
        rFO1 = 9.*rFO1/64.;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-r1s-r2s+2.*r1*r2);
        rFO2 = 64.*(1.+r1s-2.*r1*r2+r2s-x1-x2)*(x1+x2)
        /(9.*x3s)
        -16.*(-1.+r1q+2.*r1*r2+2.*r1c*r2-6.*r1s*r2s+2.*r1*r2c+r2q+x1
        -r1s*x1-2.*r1*r2*x1+3.*r2s*x1+x2+r1s*x2-r2s*x2-x1*x2)
        /prop1s
        -64.*(-1.+r1q+2.*r1*r2+2.*r1c*r2-6.*r1s*r2s+2.*r1*r2c+r2q+x1
        -r1s*x1+r2s*x1+x2+3.*r1s*x2-2.*r1*r2*x2-r2s*x2-x1*x2)
        /(9.*prop2s)
        +16.*(-r1s-r1q-2.*r1c*r2-r2s+6.*r1s*r2s-2.*r1*r2c-r2q+r1s*x1
        +r1*r2*x1-2.*r2s*x1-2.*r1s*x2+r1*r2*x2+r2s*x2+x1*x2)
        /prop12
        +8.*(-1.+r1q+2.*r1*r2-2.*r1c*r2-2.*r2s+2.*r1*r2c-r2q-2.*r1s*x1
        +2.*r2s*x1+x1s+x2-3.*r1s*x2+2.*r1*r2*x2+r2s*x2+x1*x2)
        /prop13
        -8.*(-1.-2.*r1s-r1q+2.*r1*r2+2.*r1c*r2-2.*r1*r2c+r2q+x1+r1s*x1+
        2.*r1*r2*x1-3.*r2s*x1+2.*r1s*x2-2.*r2s*x2+x1*x2+x2s)
        /(9.*prop23);
        rFO2 = 9.*rFO2/64.;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.-r1s-r2s);
        rFO4 = 128.*(1.+r1s+r2s-x1-x2)*(x1+x2)
        /(9.*x3s)
        -32*(-1.+r1q-6.*r1s*r2s+r2q+x1-r1s*x1+3.*r2s*x1+x2
        +r1s*x2-r2s*x2-x1*x2)
        /prop1s
        -32.*(r1s+r1q+r2s-6.*r1s*r2s+r2q-r1s*x1+2.*r2s*x1+2.*r1s*x2
        -r2s*x2-x1*x2)
        /prop12
        -128.*(-1.+r1q-6.*r1s*r2s+r2q+x1-r1s*x1+r2s*x1+x2+3.*r1s*x2
        -r2s*x2-x1*x2)
        /(9.*prop2s)
        +16.*(-1.+r1q-2.*r2s-r2q-2.*r1s*x1+2.*r2s*x1+x1s
        +x2-3.*r1s*x2+r2s*x2+x1*x2)
        /prop13
        -16.*(-1.-2.*r1s-r1q+r2q+x1+r1s*x1-3.*r2s*x1
        +2.*r1s*x2-2.*r2s*x2+x1*x2+x2s)
        /(9.*prop23);
        rFO4 = 9.*rFO4/128.;
        isSet4 = true;
      }
      break;
 
    // q -> ~q ~g.
    case 15:
      if (combi == 1 || combi == 3) {
        rLO1 = ps*(1.-r1s+r2s+2.*r2);
        rFO1 = 32*(2.*r2+x2)*(-1.-r1s-r2s+x2)
        /(9.*prop2s)
        +8.*(-1.-r1s-2.*r1s*r2-r2s-2.*r2c+x1+r2*x1+r2s*x1
        +3.*x2*0.5-r1s*x2*0.5+r2*x2-r2s*x2*0.5-x1*x2*0.5)
        /prop12
        +8.*(2.+2.*r1s-2.*r2-2.*r1s*r2-6.*r2s-2.*r2c-3.*x1-r1s*x1
        +2.*r2*x1+3.*r2s*x1+x1s-x2-r1s*x2+r2s*x2+x1*x2)
        /prop1s
        +32.*(4.+4.*r1s-4.*r2s-5.*x1-r1s*x1-2.*r2*x1+r2s*x1+x1s
        -3.*x2-r1s*x2-2.*r2*x2+r2s*x2+x1*x2)
        /(9.*x3s)
        -8.*(3.+3.*r1s-r2+r1s*r2-5.*r2s-r2c-4.*x1-r1s*x1
        +2.*r2s*x1+x1s-2.*x2-r2*x2+r2s*x2+x1*x2)
        /prop13
        -8.*(-1.-r1s+r2+r1s*r2-r2s-r2c+x1+r2*x1+r2s*x1+2.*x2+r1s*x2
        -x1*x2*0.5-x2s*0.5)
        /(9.*prop23);
        rFO1 = 9.*rFO1/32.;
        isSet1 = true;
      }
      if (combi == 2 || combi == 3) {
        rLO2 = ps*(1.-r1s+r2s-2.*r2);
        rFO2 = 32*(2.*r2-x2)*(1.+r1s+r2s-x2)
        /(9.*prop2s)
        +8.*(-1.-r1s+2.*r1s*r2-r2s+2.*r2c+x1-r2*x1+r2s*x1
        +3.*x2*0.5-r1s*x2*0.5-r2*x2-r2s*x2*0.5-x1*x2*0.5)
        /prop12
        +8.*(2.+2.*r1s+2.*r2+2.*r1s*r2-6.*r2s+2.*r2c-3.*x1-r1s*x1
        -2.*r2*x1+3.*r2s*x1+x1s-x2-r1s*x2+r2s*x2+x1*x2)
        /prop1s
        -8.*(3.+3.*r1s+r2-r1s*r2-5.*r2s+r2c-4.*x1-r1s*x1+2.*r2s*x1+x1s
        -2.*x2+r2*x2+r2s*x2+x1*x2)
        /prop13
        +32*(4.+4.*r1s-4.*r2s-5.*x1-r1s*x1+2.*r2*x1+r2s*x1
        +x1s-3.*x2-r1s*x2+2.*r2*x2+r2s*x2+x1*x2)
        /(9.*x3s)
        -8.*(-1.-r1s-r2-r1s*r2-r2s+r2c+x1-r2*x1+r2s*x1+2.*x2+r1s*x2
        -x1*x2*0.5-x2s*0.5)
        /(9.*prop23);
        rFO2 = 9.*rFO2/32.;
        isSet2 = true;
      }
      if (combi == 4) {
        rLO4 = ps*(1.-r1s+r2s);
        rFO4 = 64.*x2*(-1.-r1s-r2s+x2)
        /(9.*prop2s)
        +16.*(-1.-r1s-r2s+x1+r2s*x1+3.*x2*0.5-r1s*x2*0.5
        -r2s*x2*0.5-x1*x2*0.5)
        /prop12
        -16.*(3.+3.*r1s-5.*r2s-4.*x1-r1s*x1+2.*r2s*x1+x1s-2.*x2+r2s*x2
        +x1*x2)
        /prop13
        +64.*(4.+4.*r1s-4.*r2s-5.*x1-r1s*x1+r2s*x1+x1s-3.*x2
        -r1s*x2+r2s*x2+x1*x2)
        /(9.*x3s)
        +16.*(2.+2.*r1s-6.*r2s-3.*x1-r1s*x1+3.*r2s*x1+x1s
        -x2-r1s*x2+r2s*x2+x1*x2)
        /prop1s
        -16.*(-1.-r1s-r2s+x1+r2s*x1+2.*x2+r1s*x2-x1*x2*0.5-x2s*0.5)
        /(9.*prop23);
        rFO4 = 9.*rFO4/64.;
        isSet4 = true;
      }
      break;
 
    // g -> ~g ~g. Use (9/4)*eikonal. May be changed in the future.
    case 16:
      rLO = ps;
      if      (combi == 2) offset = x3s;
      else if (combi == 3) offset = mix * x3s;
      else if (combi == 4) offset = 0.5 * x3s;
      rFO = ps * 4.5 * ( (x1+x2-1.+offset-r1s-r2s)/prop12
      - r1s/prop2s - r2s/prop1s );
      break;

    // Dv -> qv d.
    case 30:
      rLO = ps*(1.-r1s+r2s+2.*r2);
      rFO = ( 0.5*r3s + 2.*r1q + 0.5*r2s*r3s + r2*r3s - 2.*r1s
             - 0.5*r1s*r3s - 2.*r1s*r2s - 4.*r1s*r2 ) / prop2s
          + ( -2. + 2.*r2q + 2.*r1q + 2.*r2s*r3s - 4.*r2 + 2.*r2*r3s
             + 4.*r2*r2s - 4.*r1s*r2s - 4.*r1s*r2 ) /prop23
          + ( -2. - 0.5*r3s - 2.*r2s - 4.*r2 + 2.*r1s ) / prop2
          + ( -2. - r3s - 2.*r2s - r2s*r3s - 4.*r2 - 2.*r2*r3s
             + 2.*r1s + r1s*r3s ) / prop3s
          + ( -1. - r3s - r2s - 4.*r2 + r1s - x2 ) / prop3
          + 1.;
      break;

    // S -> Dv Dvbar
    case 31:
      rLO = ps*(1.-4.*r1s);
      rFO = (r3s + 2.*r1s) * (-1. + 4.*r1s) * (1./prop1s + 1./prop2s)
          + (-1. + 8.*r1s - x2) / prop1
          + (-1. + 8.*r1s - x1) / prop2
          + 2. * (1. - 6.*r1s + 8.*r1q + 4.*r3s*r1s) / prop12
          + 2.;
      break;

     // q -> q~ W
    case 32:
      rLO = 1.;
      rFO = (2. * r3s * r3s + 2. * r3s * (x1 + x2) + x1s + x2s) / prop12
          - r3s / prop1s - r3s / prop2s;
      break;

    // q -> q Z
    case 33:
      rLO = 1.;
      rFO = (2. * r3s * r3s + 2. * r3s * (x1 + x2) + x1s + x2s) / prop12
          - r3s / prop1s - r3s / prop2s;
      break;

    // Eikonal expression for kind == 1; also acts as default.
    default:
      rLO = ps;
      if      (combi == 2) offset = x3s;
      else if (combi == 3) offset = mix * x3s;
      else if (combi == 4) offset = 0.5 * x3s;
      rFO = ps * 2. * ( (x1+x2-1.+offset-r1s-r2s)/prop12
      - r1s/prop2s - r2s/prop1s );
      break;

  // End of ME cases.
  }

  // Find relevant leading and first order expressions.
  if      (combi == 1 && isSet1) {
    rLO = rLO1;
    rFO = rFO1; }
  else if (combi == 2 && isSet2) {
    rLO = rLO2;
    rFO = rFO2; }
  else if (combi == 3 && isSet1 && isSet2) {
    rLO = mix * rLO1 + (1.-mix) * rLO2;
    rFO = mix * rFO1 + (1.-mix) * rFO2; }
  else if (isSet4) {
    rLO = rLO4;
    rFO = rFO4; }
  else if (combi == 4 && isSet1 && isSet2) {
    rLO = 0.5 * (rLO1 + rLO2);
    rFO = 0.5 * (rFO1 + rFO2); }
  else if (isSet1) {
    rLO = rLO1;
    rFO = rFO1; }

  // Return ratio of first to leading order cross section.
  return rFO / rLO;
}

//--------------------------------------------------------------------------

// Return the ME corrections for weak t-channel processes.

double TimeShower::findMEcorrWeak(TimeDipoleEnd* dip,Vec4 rad,
  Vec4 rec, Vec4 emt,Vec4 p3,Vec4 p4,Vec4 radBef, Vec4 recBef) {

  // Check that it is weak emission.
  if (dip->MEtype > 210 || dip->MEtype < 200) return 1.;
  
  // Remove double counting. Only implemented for QCD hard processes
  // and for the first emission.
  bool cut = false;
  if (infoPtr->nISR() + infoPtr->nFSRinProc() == 0
   && infoPtr->code() > 110 && infoPtr->code() < 130
   && vetoWeakJets) {
    double d = emt.pT2();
    if (rad.pT2() < d) {d = rad.pT2(); cut = true;}
    if (rec.pT2() < d) {d = rec.pT2(); cut = true;}
    
    // Always check for combination of radiator and emitted.
    double dij = min(rad.pT2(),emt.pT2())
      * pow2(RRapPhi(rad,emt)) / vetoWeakDeltaR2;
    if (dij < d) {
      d = dij;
      cut = false;
    }
    
    // Check for angle between recoiler and radiator, if quark anti-quark pair,
    // or if the recoiler is a gluon.
    if (dip->MEtype == 200 || dip->MEtype == 205 ||
        dip->MEtype == 201 || dip->MEtype == 206) {
      dij = min(rad.pT2(),rec.pT2()) * pow2(RRapPhi(rad,rec))
          / vetoWeakDeltaR2;
      if (dij < d) {
        d = dij;
        cut = true;
      }
    }
    // Check for angle between recoiler and emitted, if recoiler is a quark.
    if (dip->MEtype == 200 || dip->MEtype == 205 ||
        dip->MEtype == 202 || dip->MEtype == 207 ||
        dip->MEtype == 203 || dip->MEtype == 208) {
      dij = min(emt.pT2(),rec.pT2()) * pow2(RRapPhi(emt,rec))
          / vetoWeakDeltaR2;
      if (dij < d) {
        d = dij;
        cut = false;
      }
    }
    if (cut) return 0.;
  }

  // Check that MEtype is t-channel weak emission.
  if ( dip->MEtype != 201 && dip->MEtype != 202 && dip->MEtype != 203
    && dip->MEtype != 206 && dip->MEtype != 207 && dip->MEtype != 208)
    return 1;

  // Rescaling of incoming partons p3 and p4.
  double scaleFactor2 = (rad + rec + emt).m2Calc() / (p3 + p4).m2Calc();
  double scaleFactor = sqrt(scaleFactor2);
  p3 *= scaleFactor;
  p4 *= scaleFactor;
 
  // Longitudinal boost to rest frame of incoming partons of hard interaction.
  RotBstMatrix rot2to2frame;
  rot2to2frame.bstback(p3 + p4);
  p3.rotbst(rot2to2frame);
  p4.rotbst(rot2to2frame);
  rad.rotbst(rot2to2frame);
  emt.rotbst(rot2to2frame);
  rec.rotbst(rot2to2frame);
  recBef.rotbst(rot2to2frame);
  radBef.rotbst(rot2to2frame);

  // Further boost to rest frame of outgoing state.
  RotBstMatrix rot2to3frame;
  rot2to3frame.bstback(rad + emt + rec);
  rad.rotbst(rot2to3frame);
  emt.rotbst(rot2to3frame);
  rec.rotbst(rot2to3frame);
  recBef.rotbst(rot2to3frame);
  radBef.rotbst(rot2to3frame);
  
  // Kinematical quantities.
  double sHat = (p3 + p4).m2Calc();
  double tHat = (radBef - p3).m2Calc();
  double uHat = (recBef - p3).m2Calc();
  double z    = dip->z;
  double pT2  = dip->pT2;
  double Q2   = pT2 / (z*(1.-z));

  // ME weight. Prefactor mainly from Jacobian.
  double wt = 2. * pT2 / z * (Q2+sHat)/sHat * (1. - kRad - kEmt) / 4.;
  if (dip->MEtype == 201 || dip->MEtype == 206)
    wt *= weakShowerMEs.getTchanneluGuGZME( p3, p4, rec, emt, rad)
        / weakShowerMEs.getTchanneluGuGME( sHat, tHat, uHat);
  else if (dip->MEtype == 202 || dip->MEtype == 207)
    wt *= weakShowerMEs.getTchannelududZME( p3, p4, emt, rec, rad)
        / weakShowerMEs.getTchanneluuuuME( sHat, tHat, uHat);
  else if (dip->MEtype == 203 || dip->MEtype == 208)
    wt *= weakShowerMEs.getTchannelududZME( p3, p4, emt, rec, rad)
        / weakShowerMEs.getTchannelududME( sHat, tHat, uHat);
  
  // Split of ME into an ISR part and FSR part.
  wt *= abs((-emt + p3).m2Calc()) / ((emt + rad).m2Calc()
      + abs((-p3 + emt).m2Calc()));

  // Correction for previous fudge-factor enhancement of weak emission rate.
  wt /= WEAKPSWEIGHT;
  if (wt > 1.) infoPtr->errorMsg("Warning in TimeShower::findMEcorrWeak: "
    "weight is above unity");
  return wt;
  
}

//--------------------------------------------------------------------------

// Find coefficient of azimuthal asymmetry from gluon polarization.

void TimeShower::findAsymPol( Event& event, TimeDipoleEnd* dip) {

  // Default is no asymmetry. Only gluons are studied.
  dip->asymPol = 0.;
  dip->iAunt = 0;
  int iRad = dip->iRadiator;
  if (!doPhiPolAsym || event[iRad].id() != 21) return;

  // Trace grandmother via possibly intermediate recoil copies.
  int iMother = event.iTopCopy(iRad);
  int iGrandM = event[iMother].mother1();

  // If grandmother in initial state of hard scattering,
  // then only keep gg and qq initial states.
  int statusGrandM = event[iGrandM].status();
  bool isHardProc  = (statusGrandM == -21 || statusGrandM == -31);
  if (isHardProc) {
    if (event[iGrandM + 1].status() != statusGrandM) return;
    if (event[iGrandM].isGluon() && event[iGrandM + 1].isGluon());
    else if (event[iGrandM].isQuark() && event[iGrandM + 1].isQuark());
    else return;
  }

  // Set aunt by history or, for hard scattering, by colour flow.
  if (isHardProc) dip->iAunt = dip->iRecoiler;
  else dip->iAunt = (event[iGrandM].daughter1() == iMother)
    ? event[iGrandM].daughter2() : event[iGrandM].daughter1();

  // Coefficient from gluon production (approximate z by energy).
  // For hard process arbitrarily put z = 1/2.
  double zProd = (isHardProc) ? 0.5 : event[iRad].e()
    / (event[iRad].e() + event[dip->iAunt].e());
  if (event[iGrandM].isGluon()) dip->asymPol = pow2( (1. - zProd)
    / (1. - zProd * (1. - zProd) ) );
  else dip->asymPol = 2. * (1. - zProd) / (1. + pow2(1. - zProd) );

  // Coefficients from gluon decay.
  if (dip->flavour == 21) dip->asymPol *= pow2( (1. - dip->z)
    / (1. - dip->z * (1. - dip->z) ) );
  else  dip->asymPol *= -2. * dip->z *( 1. - dip->z )
    / (1. - 2. * dip->z * (1. - dip->z) );

}

//--------------------------------------------------------------------------

// Print the list of dipoles.

void TimeShower::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA TimeShower Dipole Listing  ----------------"
     << "------------------------------------------------------- \n \n  "
     << "  i    rad    rec       pTmax  col  chg  gam weak  oni   hv  is"
     << "r  sys sysR type  MErec     mix  ord  spl  ~gR  pol \n"
     << fixed << setprecision(3);
  
  // Loop over dipole list and print it.
  for (int i = 0; i < int(dipEnd.size()); ++i)
  os << setw(5) << i                     << setw(7) << dipEnd[i].iRadiator
     << setw(7) << dipEnd[i].iRecoiler   << setw(12) << dipEnd[i].pTmax
     << setw(5) << dipEnd[i].colType     << setw(5) << dipEnd[i].chgType
     << setw(5) << dipEnd[i].gamType     << setw(5) << dipEnd[i].weakType
     << setw(5) << dipEnd[i].isOctetOnium
     << setw(5) << dipEnd[i].isHiddenValley << setw(5) << dipEnd[i].isrType
     << setw(5) << dipEnd[i].system      << setw(5) << dipEnd[i].systemRec
     << setw(5) << dipEnd[i].MEtype      << setw(7) << dipEnd[i].iMEpartner
     << setw(8) << dipEnd[i].MEmix       << setw(5) << dipEnd[i].MEorder
     << setw(5) << dipEnd[i].MEsplit     << setw(5) << dipEnd[i].MEgluinoRec
     << setw(5) << dipEnd[i].weakPol << "\n";
 
  // Done.
  os << "\n --------  End PYTHIA TimeShower Dipole Listing  ------------"
     << "-------------------------------------------------------" << endl;
  
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/WeakShowerMEs.cc0000644000175000017500000003654212357054765016151 0ustar  sunsun// WeakShowerMEs.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// WeakShowerMEs class.

#include "Pythia8/WeakShowerMEs.h"

namespace Pythia8 {

//==========================================================================

// The WeakShowerMEs class.

//--------------------------------------------------------------------------

// Calculate the 2 to 2 ME uG -> uG, with an overall factor of
// g_s^4 / 9 was removed.

double WeakShowerMEs::getTchanneluGuGME(double sHat, double tHat,
  double uHat) {

  double sH2 = sHat* sHat;
  double sH3 = sH2 * sHat;
  double tH2 = tHat * tHat;
  double uH2 = uHat * uHat;
  return (18.*sH3*uHat - 4*tH2*uH2 + 9*sHat*uH2*(tHat + 2*uHat) +
    sH2*(-4.*tH2 + 9*tHat*uHat + 18*uH2))/(sHat*tH2*uHat);

}

//--------------------------------------------------------------------------

// Calculate the 2 to 2 ME ud -> ud, with an overall factor of
// g_s^4 / 9 was removed.

double WeakShowerMEs::getTchannelududME(double sHat, double tHat,
  double uHat) {

  double sH2 = sHat * sHat;
  double tH2 = tHat * tHat;
  double uH2 = uHat * uHat;
  return 4.*(sH2+uH2)/tH2;

}

//--------------------------------------------------------------------------

// Calculate the 2 to 2 ME uu -> uu, with an overall factor of
// g_s^4 / 9 was removed.

double WeakShowerMEs::getTchanneluuuuME(double sHat, double tHat,
  double uHat) {

  double sH2 = sHat * sHat;
  double tH2 = tHat * tHat;
  double uH2 = uHat * uHat;
  return 4./2.*((sH2+uH2)/tH2 + (sH2+tH2)/uH2 - 2.*sH2/(3.*tHat*uHat));

}

//--------------------------------------------------------------------------

// Calculate the 2 to 3 ME uG -> uGZ, with an overall factor of
// \frac{(g_s^4 * 4\pi \alpha_{em} * (lU^2 + rU^2))}{
// 9 * \cos^2(\theta_W) \sin^2(\theta_W)}$ was removed.
// p1 = incoming quark, p2 = incoming gluon, p3 = outgoing gluon,
// p4 = outgoing Z, p5 = outgoing quark.

double WeakShowerMEs::getTchanneluGuGZME(Vec4 p1, Vec4 p2, Vec4 p3,
  Vec4 p4, Vec4 p5) {

  double p12  = p1*p2;
  double p13  = p1*p3;
  double p14  = p1*p4;
  double p23  = p2*p3;
  double p24  = p2*p4;
  double p44  = p4*p4;
  double p12P = (p1 + p2).m2Calc();
  double p13M = (p1 - p3).m2Calc();
  double p14M = (p1 - p4).m2Calc();
  double p23M = (p2 - p3).m2Calc();
  double p25M = (p2 - p5).m2Calc();
  double p35P = (p3 + p5).m2Calc();
  double p45P = (p4 + p5).m2Calc();
  double p44S = p44*p44;

  double dia1 = (-4*p12*(p12* (p44 - 2*p24) -p23 * (p44 - 2*p24) +2*p13*p24))
    / pow2(p12P * p45P);

  double dia2 = -(((p12 - p13 - p23) * (p12 * (p44 - 2*p14)
    - p13 * (p44 - 2*p14) + 2*p14*p23)) / (p12P * p13M * pow2(p45P)));

  double dia3 = (8*(p44 - 2*p12) * p12 * (p12 - p23 - p24))
    / (pow2(p12P) * p35P * p45P);

  double dia4 = -(8*pow3(p12) + 2*pow2(p12) * (p44 - 6*p13 - 6*p14 - 6*p23
    - 4*p24) + 4*pow2(p13) * (p44 - 2*p14 - p24) - 2*p14*p23
    * (-p44 + 2*p14 + 2*p23 + 4*p24) + 2*p13 * (-4*pow2(p14)
    + 2*p14 * (p44 - 3*p23 - 3*p24) + 2*p23 * (p44 - p24) + p44*p24)
    + p12* (p44S + 4*pow2(p13) + 4*pow2(p14) + 4*pow2(p23) - 4*p14
    * (p44 - 4*p23 - 3*p24) - 4*p13* (p44 - 4*p14 - 4*p23 - 3*p24)
    - 2*p44*p24 + 4*p23*p24)) / (4. * p12P * p13M * p25M * p45P);

  double dia5 = (-9*(2*pow3(p12) + (p13 + p23) * (-(p14* p23)
    + p13 * (p44 - 2*p14 - p24)) + pow2(p12)* (2*p44 - 4*p13 - 3*p14
    - 4*p23 - 3*p24) + p12 * (2*pow2(p13) + p23 * (-p44 + 4*p14
    + 2*p23 + 3*p24) + p13 * (-2*p44 + 5*p14 + 4*p23 + 4*p24))))
    / (p12P * p23M* pow2(p45P));

  double dia6 = (-4*(2*pow3(p12) + pow2(p12)* (7*p44 - 4*p13 - 6*p14
    - 2*p23 - 4*p24) + p12 * (2*pow2(p13) + 4*pow2(p14) - 2*p44*p23
    - 3*p44*p24 + 2*p23* p24 + 2*pow2(p24) + p14 * (-8*p44 + 6*p23 + 2*p24)
    + p13* (-7*p44 + 10*p14 + 6*p23 + 6*p24)) + 2*(pow2(p13) * (p44
    - 2*p14 - p24) + p14* (p14* (p44 - 2*p23) + p23 * (p44 - p24) + p44*p24)
    + p13 * (-2*pow2(p14) + p23 * (p44 - 2*p24) + p14* (2*p44 - 3*p23
    - 2*p24) + (p44 - p24)* p24)))) / (p12P * p14M * p35P * p45P);

  double dia7 = ((p12 - p13 - p14) * (p44 - 2*p23) * (p12 - p13 - p14
    - p23 - p24)) / (p12P * p14M * p25M * p45P);

  double dia8 = (9*(2*pow2((p1*p2))* (p44 - 10*p14 - 16*p23 + 4*p24)
    + p12* (p44S + 20*pow2(p14) - 6*p44*p23 + 16*pow2(p23)
    + p13* (-18*p44 + 28*p14 + 32*p23 - 8*p24) + 2*p44*p24
    + 16*p23* p24 - 8*pow2(p24) + p14* (-8*p44 + 52*p23 + 4*p24))
    + 2*(4*pow2(p13)* (p44 - p14 - 2*p23) - p14*p23* (-3*p44 + 10*p14
    + 8*p23 + 8*p24) + p13* (-4*pow2(p14) - 8*pow2(p23) + 4*p23* (p44 - p24)
    + 2*p14* (2*p44 - 8*p23 + p24) + p24* (p44 + 4*p24)))))
    / (8. * p12P * p23M * p14M * p45P);

  double dia9 = (-4*p13* (2*pow2(p12) + p12* (p44 - 4*p13 - 2*p14
    - 4*p23 - 2*p24) + 2*(p13 + p23)* (p13 + p14 + p23 + p24)))
    / (pow2(p13M) * pow2(p45P));

  double dia10 = (4*pow3(p12) - 4*pow2(p12) * (3*p13 + 2*p14 + 2*p23 + p24)
    + p12* (p44S + 8*pow2(p13) + 4*pow2(p14) + 4*pow2(p23)
    - 4*p14* (p44 - 3*p23 - 3*p24) - 2*p44*p24 + 4*p23*p24
    + p13* (-6*p44 + 20*p14 + 4*p23 + 12*p24)) + 2*(p14*p23* (p44
    - 2*p14 - 2*p23 - 4*p24) + 2*pow2(p13)* (p44 - 2*p14 - 2*p24)
    + p13* (-4*pow2(p14) + 2*p14* (p44 - 2*p23 - 3*p24)
    + 2*p23* (p44 - p24) + p44*p24))) / (4. * p12P * p13M * p35P* p45P);

  double dia11 = (4*p13* (p44 + 2*p13)* (p44 + 2*p12 - 2*p14 - 2*p24))
   / (pow2(p13M)* p25M * p45P);

  double dia12 = (-9*(-2*pow3(p12) + 2*pow3(p13) - 2*p14* pow2(p23)
    + pow2(p12)* (p44 + 6*p13 - 2*p14 + 4*p23 + 2*p24) + p13*p23
    * (-p44 - 2*p14 + 2*p23 + 6*p24) + pow2(p13)* (p44 + 4*p23 + 6*p24)
    - p12* (6*pow2(p13) + p23* (p44 - 4*p14 + 2*p23 + 2*p24)
    + p13* (-2*p14 + 8*(p23 + p24))))) / (2.* p13M * p23M * pow2(p45P));

  double dia13 = -((p12 - p13 - p14)* (p44 - 2*p23)* (p44 - 2*p24))
    / (2. * p13M * p14M * p35P * p45P);

  double dia14 = (2*(-8*pow2(p13)* (p44 - p14) - 2*pow2(p12)
    * (p44 - 2*p14 + 2*p23 - 2*p24) + 2*p14* (-p44S - 2*pow2(p23)
    + p23 * (p44 + 2*p14 - 2*p24) + 2*p44*p24) + p12* (p44S
    - 4*pow2(p14) + 4*pow2(p23) + 2*p13* (3*p44 - 6*p14 - 2*p23 - 2*p24)
    - 4*pow2(p24)) + p13* (-2*p44S + 8*pow2(p14) + 2*(p44 + 2*p23)* p24
    + 4*pow2(p24) + p14* (-8*p44 + 8*p23 + 4*p24))))
    / (p13M * p14M * p25M * p45P);

  double dia15 = (-9*(8*pow3(p12) + 2*pow2(p12)* (p44 - 8*p13 - 2*p14
    - 4*p23 - 8*p24) + p12* (3*p44S + 8*pow2(p13) - 4*pow2(p14)
    - 6*p44*p23 - 10*p44*p24 + 24*p23* p24 + 8*pow2(p24) + 4*p14
    * (p23 + 3*p24) + 2*p13 * (3*p44 - 2*p14 + 8*p23 + 12*p24))
    + 2*(p14*p23 * (p44 + 2*p14 - 8*p24) + 4*pow2(p13)* (p14
    + p23 - p24) + p13* (4*pow2(p14) - 4*pow2(p23)
    + 4*p23* (p44 - 4*p24) - 10*p14* p24 + (3*p44 - 4*p24)* p24))))
    / (8. * p13M * p23M * p14M * p45P);

  double dia16 = (4*p12*p23* (p44 + 2*p12 - 2*p14 - 2*p24))
    / (pow2(p12P) * pow2(p35P));

  double dia17 = ((p12 - p13 - p14)* (p44 - 2*p24)
    * (p12 - p13 - p14 - p23 - p24)) / (p12P * p13M * p25M * p35P);

  double dia18 = (9*(-20*pow3(p12) + 4*pow2(p12)* (4*p44 + p13 + 2*p14
    + p23) + 2*p14*p23* (p44 + 2*p14 - 4*p23 - 2*p24) + 8*pow2(p13)
    * (p44 - p14 - p24) + p13* (-8*pow2(p14) + 8*p44*p23
    + 4*p14* (2*p44 - 2*p23 - 5*p24) + 6*p44*p24 - 4*pow2(p24))
    + p12* (p44S - 4*pow2(p14) - 14*p44*p23 + 8*pow2(p23)
    - 8*p14* (p44 - p23 - 2*p24) - 12*p44*p24 + 12*p23* p24
    + 4*pow2(p24) + p13 * (-22*p44 + 20*p14 - 8*p23 + 24*p24))))
    / (8. * p12P * p23M * p35P * p45P);

  double dia19 = (-8*p13* (p44 + 2*p12 - 2*p14 - 2*p24)*(p12 - p14 - p24))
    / (p12P * p14M * pow2(p35P));

  double dia20 = (-8*pow3(p12) - p12* (4*pow2(p13) + 4*pow2(p14)
    - 4*p14* (p44 - 3*p23 - 4*p24) - 4*p13* (p44 - 4*p14 - 3*p23 - 4*p24)
    + (p44 - 2*p24)* (p44 - 2*p23 - 2*p24)) - 2*pow2(p12)
    * (p44 - 6*p13 - 6*p14 - 4*p23 - 6*p24) + 2*p14*p23
    * (-p44 + 2*p14 + 2*p24) + pow2(p13) * (-4*p44 + 8*p14 + 4*p24)
    + p13* (8*pow2(p14) - 4*p14* (p44 - 3*p23 - 3*p24) - 2*(p44 - 2*p24)
    * (2*p23 + p24))) / (4. * p12P * p14M * p25M* p35P);

  double dia21 = (-9*(14*pow3(p12) + pow2(p12)* (7*p44 - 10*p13 - 30*p14
    - 10*p23 - 22*p24) + 2*p12 * (2*pow2(p13) + 12*pow2(p14) - p44*p23
    - 3*p44*p24 + 2*p23* p24 + 4*pow2(p24) + p13* (-4*p44 + 10*p14
    + 6*p23 + 5*p24) + p14* (-5*p44 + 7*p23 + 16*p24)) + 2*(2*pow2(p13)
    * (p44 - 2*p14 - p24) + p13* (-4*pow2(p14) + 2*p23* (p44 - 2*p24)
    + 2*p14* (p44 - 3*p23 - 2*p24) + p44*p24) + p14* (-4*pow2(p14)
    + 2*p14* (p44 - p23 - 3*p24) + p23* (p44 - 2*p24)
    + 2*(p44 - p24)* p24)))) / (4. * p12P * p23M * p14M* p35P);

  double dia22 = (-8*p13*p23* (-p12 + p23 + p24))
    / (pow2(p13M)* pow2(p25M));
  
  double dia23 = (-9*(2*pow3(p12) - pow2(p12)* (p44 + 10*p13 + 6*p14)
    + p12* (p44S + 8*pow2(p13) + 4*pow2(p14) + 3*p44*p23 - 2*pow2(p23)
    - p44*p24 - 4*p23 * p24 - 2*pow2(p24) + 2*p13* (6*p14 + 7*p23 + 2*p24)
    + p14* (-2*p44 + 4*p23 + 6*p24)) - 2*(4*pow3(p13) + 2*pow2(p13)
    * (p44 + 2*p14 + p23 - p24) + p14*p23* (2*p14 - p23 + p24)
    + p13 * (p44S + 4*pow2(p14) + (-2*p44 + p23)* p24 - pow2(p24)
    + p14* (-2*p44 + 4*p23 + 2*p24))))) / (4. * p13M * p23M * p25M * p45P);

  double dia24 = (-2*pow2(p12)* (p44 + p13 + p23 - p24) + p12* (2*pow2(p13)
    - p13* (p44 - 6*p14) + (p44 + 2*p14 + 2*p23 - 2*p24)* (p23 + p24))
    + 2*(pow2(p13)* (p44 - 2*p14 - p24) - p14*p23 * (p23 + p24)
    + p13* (-2*pow2(p14) + p14 * (p44 - p23 - 2*p24) + p24* (p23 + p24))))
    / (2. * p13M * p14M * p25M* p35P);

  double dia25 = (8*p12* (p44 + 2*p12 - 2*p23 - 2*p24)*(p12 - p23 - p24))
    / (p13M * p14M * pow2(p25M));

  double dia26 = (9*(4*pow3(p12) + 2*pow2(p13)* (p44 - 2*p14 - 3*p24)
    - 2*pow2(p12)* (p13 + 6*p23 + 2*p24) + p12* (p44S + 6*pow2(p13)
    - 2*p44*p14 + 4*pow2(p14) - 2*p44*p23 + 8*pow2(p23) + 3*p13
    * (p44 + 2*p14 - 2*p23 - 2*p24) - 2*p44*p24 + 8*p23*p24)
    + p14* (-p44S + 2*p14* (p44 - 2*p23 - 2*p24) + 4*p23* p24
    + 4*pow2(p24)) - p13 * (p44S + 4*pow2(p14) - 4*pow2(p23)
    + 2*p23 * (p44 - 6*p24) + 2*p44*p24 - 8*pow2(p24)
    + p14* (-4*p44 + 2*p23 + 8*p24)))) / (4. * p13M * p23M * p14M * p25M);

  double dia27 = (-9*(3*pow3(p12) - pow3(p13) + p14 * pow2(p23)
    + pow2(p12)* (p44 - 7*p13 - 3*p14 - 6*p23 - 2*p24) - p13*p23
    * (2*p44 + p23 - 2*p24) - pow2(p13)* (p14 + 2*p23 - 2*p24)
    + p12 * (5*pow2(p13) + p13* (p44 + 4*p14 + 8*p23)
    + p23 * (p44 + 2*p14 + 3*p23 + 2*p24)))) / (pow2(p23M) * pow2(p45P));

  double dia28 = (9*(2*pow3(p12) - pow2(p12)* (p44 + 4*p13 + 10*p14
    + 8*p23 - 2*p24) + 2*pow2(p13)* (p44 - 2*p14 - p24) + p14* (p44S
    + 2*p44*p23 + 2*pow2(p23) - 2*p14* (p44 + 6*p23) - 4*p44*p24)
    + p12* (-p44S + 2*pow2(p13) + 8*pow2(p14) + p13 * (-5*p44 + 14*p14)
    - 3*p44*p23 - 2*pow2(p23) + 2*p14* (p44 + 10*p23) + 6*p44*p24
    + 2*p23* p24 - 4*pow2(p24)) + p13* (-4*pow2(p14) + pow2(p44 - 2*p24)
    + 2*p23* (p44 + p24) + p14* (-6*p23 + 4*p24))))
    / (4. * p23M * p14M * p35P * p45P);

  double dia29 = (-9*(6*pow3(p12) - 2*pow2(p13)* (p44 - 2*p14 + 3*p24)
    - pow2(p12)* (p44 + 12*p13 + 2*p14 + 8*p23 + 10*p24) + p14* (p44S
    - 2*p14* (p44 - 6*p23) - 6*p44*p23 - 2*pow2(p23) - 4*p44*p24)
    + p13* (p44S + 4*pow2(p14) - 8*pow2(p23) - 2*p44* p24 - 4*pow2(p24)
    - 2*p14* (2*p44 - 5*p23 + 4*p24) - 2*p23* (2*p44 + 5*p24))
    + p12* (6* pow2(p13) - 4*pow2(p14) + 3*p44*p23 + 2*pow2(p23)
    + 6*p23* p24 + 4*pow2(p24) + p14 * (6*p44 - 4*p23 + 4*p24)
    + p13* (7*p44 - 2*p14 + 16*p23 + 16*p24))))
    / (4. * p23M * p14M * p25M * p45P);

  double dia30 = (-9*(4*pow3(p12) + 2*pow2(p12)* (p44 - 4*p13 + 2*p14
    - 6*p24) + p12* (p44S + 4*pow2(p13) - 8*pow2(p14) - 6*p44*p23
    + 12*pow2(p23) - 6*p44 *p24 + 4*p23* p24 + 8*pow2(p24) + 2*p14
    * (p44 - 4*p23 + 2*p24) + 8*p13* (p44 - p14 + 2*p23 + 2*p24))
    - 2*(-2*p14* (p44 + 2*p14 - 3*p23)* p23 + pow2(p13)* (p44 - 2*p14
    + 2*p24) + p13 * (-2*pow2(p14) + 8*pow2(p23) - 3*p23* (p44 - 2*p24)
    + p24* (-p44 + 4*p24) + p14* (p44 + 6*p24)))))
    / (2. * pow2(p23M) * p14M * p45P);

  double dia31 = (-2*(p13* (p44 - 2*p14) + p14* (p44 + 2*p12 - 2*p14
    - 2*p23 - 2*p24))* (p44 + 2*p12 - 2*p14 - 2*p24))
    / (pow2(p14M) * pow2(p35P));

  double dia32 = -((p44 - 2*p14)* (p12* (p44 - 2*p14) - p13* (p44 - 2*p14)
    + 2*p14*p23)) / (2. * pow2(p14M) * p25M * p35P);

  double dia33 = (-9*(4*pow3(p14) + 2*pow2(p12)* (p44 + 2*p14)
    - 4*pow2(p14)* (p44 + p23 - 3*p24) - 2*p44*p13* p24
    + p14* (p44S + 2*p44*p23 + (-6*p44 + 4*p13)* p24 + 8*pow2(p24))
    + p12 * (2*p13* (p44 - 2*p14) + p44*(3*p44 + 2*p23 - 2*p24)
    - 2*p14* (3*p44 + 2*p23 + 6*p24)))) / (4. * p23M * pow2(p14M) * p35P);

  double dia34 = (-4*(p12 - p23 - p24)* (p44*p12-2*p14*p24))
    / (pow2(p14M)* pow2(p25M));

  double dia35 = (-9*(2*pow2(p12)* (p44 + 2*p14) - 2*p13 * (p44 - 2*p14)
    * (p44 - 2*p14 + 2*p23 + p24) + 2*p14* (4*pow2(p23) + 8*p23* p24
    + p24* (-p44 + 2*p14 + 4*p24)) + p12* (2*p13* (p44 - 2*p14)
    + p44*(p44 - 2*p23 - 2*p24) - 2*p14* (p44 + 6*p23 + 6*p24))))
    / (4. * p23M * pow2(p14M) * p25M);

  double dia36 = (-9*(4*pow2(p12)* (p44 + 2*p14) - p13 * (p44 - 2*p14)
    * (p44 - 2*p14 + 8*p23 + 4*p24) + p14* (-p44S - 4*pow2(p14)
    + 16*pow2(p23) - 4*p23 * (p44 - 4*p24) - 8*p44*p24 + 16*pow2(p24)
    + 4*p14* (p44 + 2*p23 + 4*p24)) + p12* (4*p13 * (p44 - 2*p14)
    - 4*pow2(p14) + p44*(3*p44 + 4*p23 - 4*p24) - 4*p14* (p44 + 6*p23
    + 6*p24)))) / (4. * pow2(p23M) * pow2(p14M));

  return dia1 + dia2 + dia3 + dia4 + dia5 + dia6 + dia7 + dia8 + dia9
   + dia10 + dia11 + dia12 + dia13 + dia14 + dia15 + dia16 + dia17 + dia18
   + dia19 + dia20 + dia21 + dia22 + dia23 + dia24 + dia25 + dia26 + dia27
   + dia28 + dia29 + dia30 + dia31 + dia32 + dia33 + dia34 + dia35 + dia36;

}

//--------------------------------------------------------------------------

// Calculate the 2 to 3 ME ud -> udZ, with the coupling between Z and d
// set to zero. An overall factor of
// \frac{(g_s^4 * 4\pi \alpha_{em} * (lU^2 + rU^2))}{
// 9 * \cos^2(\theta_W) \sin^2(\theta_W)}$ was removed.
// p1 = incoming u, p2 = incoming d, p3 = outgoing Z,
// p4 = outgoing d, p5 = outgoing u.

double WeakShowerMEs::getTchannelududZME(Vec4 p1,Vec4 p2,Vec4 p3,
  Vec4 p4,Vec4 p5) {
  
  double p12  = p1*p2;
  double p13  = p1*p3;
  double p14  = p1*p4;
  double p23  = p2*p3;
  double p24  = p2*p4;
  double p33  = p3*p3;
  double p13M = (p1 - p3).m2Calc();
  double p24M = (p2 - p4).m2Calc();
  double p35P = (p3 + p5).m2Calc();
  double p33S = p33*p33;

  double dia1 = (-4*(2*pow3(p12) + pow2(p12) * (p33 - 2*p13 - 4*p14
    - 2*p23 - 4*p24) + p14* (2*p14* p23 - (p33 - 2*p23)* p24)
    + p12 * (2*pow2(p14) + 2*p24* (p13 + p23 + p24)
    + p14* (p33 + 2*p13 + 4*p24)))) / pow2(p24M* p35P);

  double dia2 = (-2*(4*pow3(p12) + 4*pow2(p12)
    * (p33 - 2*p14 - 3*p23) + p12 * (p33S - 4*pow2(p13) + 4*pow2(p14)
    - 6*p33*p23 + 8*pow2(p23) + 4*p13 * (p23 - p24) - 4*p33*p24 + 4*p23
    * p24 + 4*pow2(p24) + 4*p14* (p33 + 4*p23 + 4*p24)) + 2*(-2*pow2(p14)
    * p23 + p13* (p33 + 2*p13 - 2*p24) * p24 + p14* (-4*pow2(p23) + p23
    * (p33 - 6*p13 - 6*p24) + 2*(p33 - p13 - 2*p24)* p24))))
    / (p13M * pow2(p24M) * p35P);

  double dia3 = (-2*(2*pow2(p12)* (p33 + 2*p13)
    - 2*p33*p14* (p23 + p24) + 4*pow2(p13)* (2*p23 + p24) + p12
    * (-4*pow2(p13) + p33*(p33 + 2*p14 - 2*p23) - 4*p13* (p14 + 3*p23
    + 2*p24)) + p13* (8*pow2(p23) + 2*p24 * (-p33 + 2*p14 + 2*p24) + p23
    * (-4*p33 + 4*p14 + 8*p24)))) / pow2(p13M * p24M);

  return dia1 + dia2 + dia3;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/ResonanceDecays.cc0000644000175000017500000007477112357054763016537 0ustar  sunsun// ResonanceDecays.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for
// the ResonanceDecays class.

#include "Pythia8/ResonanceDecays.h"

namespace Pythia8 {

//==========================================================================

// The ResonanceDecays class.
// Do all resonance decays sequentially.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of tries to pick a decay channel.
const int    ResonanceDecays::NTRYCHANNEL = 10;

// Number of tries to pick a set of daughter masses.
const int    ResonanceDecays::NTRYMASSES  = 10000;

// Mass above threshold for allowed decays.
const double ResonanceDecays::MSAFETY     = 0.1;

// When constrainted kinematics cut high-mass tail of Breit-Wigner.
const double ResonanceDecays::WIDTHCUT    = 5.;

// Small number (relative to 1) to protect against roundoff errors.
const double ResonanceDecays::TINY        = 1e-10;

// Forbid small Breit-Wigner mass range, as mapped onto atan range.
const double ResonanceDecays::TINYBWRANGE = 1e-8;

// These numbers are hardwired empirical parameters,
// intended to speed up the M-generator.
const double ResonanceDecays::WTCORRECTION[11] = { 1., 1., 1.,
  2., 5., 15., 60., 250., 1250., 7000., 50000. };

//--------------------------------------------------------------------------
  
bool ResonanceDecays::next( Event& process, int iDecNow) {

  // Loop over all entries to find resonances that should decay.
  // (Except for iDecNow > 0, where only it will be handled.)
  int iDec = iDecNow;
  do {
    Particle& decayer = process[iDec];
    if (decayer.isFinal() && decayer.canDecay() && decayer.mayDecay()
    && decayer.isResonance() ) {

      // Fill the decaying particle in slot 0 of arrays.
      id0    = decayer.id();
      m0     = decayer.m();
      idProd.resize(0);
      mProd.resize(0);
      idProd.push_back( id0 );
      mProd.push_back( m0 );

      // Mother flavour - relevant for gamma*/Z0 mixing. (Not always??)
      int idIn = process[decayer.mother1()].id();

      // Prepare decay selection.
      if (!decayer.particleDataEntry().preparePick(id0, m0, idIn)) {
        ostringstream osWarn;
        osWarn << "for id = " << id0;
        infoPtr->errorMsg("Error in ResonanceDecays::next:"
          " no open decay channel", osWarn.str());
        return false;
      }

      // Pick a decay channel; allow up to ten tries.
      bool foundChannel = false;
      for (int iTryChannel = 0; iTryChannel < NTRYCHANNEL; ++iTryChannel) {

        // Pick decay channel. Find multiplicity.
        DecayChannel& channel = decayer.particleDataEntry().pickChannel();
        mult = channel.multiplicity();

        // Read out flavours.
        idProd.resize(1);
        int idNow;
        for (int i = 1; i <= mult; ++i) {
          idNow = channel.product(i - 1);
          if (id0 < 0 && particleDataPtr->hasAnti(idNow)) idNow = -idNow;
          idProd.push_back( idNow);
        }

        // Pick masses. Pick new channel if fail.
        if (!pickMasses()) continue;
        foundChannel = true;
        break;
      }

      // Failed to find acceptable decays.
      if (!foundChannel) {
        ostringstream osWarn;
        osWarn << "for id = " << id0;
        infoPtr->errorMsg("Error in ResonanceDecays::next:"
          " failed to find workable decay channel", osWarn.str());
        return false;
      }

      // Select colours in decay.
      if (!pickColours(iDec, process)) return false;

      // Select four-momenta in decay, boosted to lab frame.
      pProd.resize(0);
      pProd.push_back( decayer.p() );
      if (!pickKinematics()) return false;

      // Append decay products to the process event record. Set lifetimes.
      int iFirst = process.size();
        for (int i = 1; i <= mult; ++i) {
          process.append( idProd[i], 23, iDec, 0, 0, 0, cols[i], acols[i],
            pProd[i], mProd[i], m0);
        }
      int iLast = process.size() - 1;

      // Set decay vertex when this is displaced.
      if (process[iDec].hasVertex() || process[iDec].tau() > 0.) {
        Vec4 vDec = process[iDec].vDec();
        for (int i = iFirst; i <= iLast; ++i) process[i].vProd( vDec );
      }

      // Set lifetime of daughters.
      for (int i = iFirst; i <= iLast; ++i)
        process[i].tau( process[i].tau0() * rndmPtr->exp() );

      // Modify mother status and daughters.
      decayer.status(-22);
      decayer.daughters(iFirst, iLast);
                 
    // End of loop over all entries.
    }
  } while (iDecNow == 0 && ++iDec < process.size());

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select masses of decay products.
 
bool ResonanceDecays::pickMasses() {

  // Arrays with properties of particles. Fill with dummy values for mother.
  vector   useBW;
  vector m0BW, mMinBW, mMaxBW, widthBW;
  double mMother  = mProd[0];
  double m2Mother = mMother * mMother;
  useBW.push_back( false );
  m0BW.push_back( mMother );
  mMinBW.push_back( mMother );
  mMaxBW.push_back( mMother );
  widthBW.push_back( 0. );

  // Loop throught products for masses and widths. Set nominal mass.
  bool   useBWNow;
  double m0Now, mMinNow, mMaxNow, widthNow;
  for (int i = 1; i <= mult; ++i) {
    useBWNow  = particleDataPtr->useBreitWigner( idProd[i] );
    m0Now     = particleDataPtr->m0( idProd[i] );
    mMinNow   = particleDataPtr->m0Min( idProd[i] );
    mMaxNow   = particleDataPtr->m0Max( idProd[i] );
    if (useBWNow && mMaxNow < mMinNow) mMaxNow = mMother;
    widthNow  = particleDataPtr->mWidth( idProd[i] );
    useBW.push_back( useBWNow );
    m0BW.push_back( m0Now );
    mMinBW.push_back( mMinNow );
    mMaxBW.push_back( mMaxNow );
    widthBW.push_back( widthNow );
    mProd.push_back( m0Now );
  }

  // Find number of Breit-Wigners and summed (minimal) masses.
  int    nBW     = 0;
  double mSum    = 0.;
  double mSumMin = 0.;
  for (int i = 1; i <= mult; ++i) {
    if (useBW[i]) ++nBW;
    mSum        += max( m0BW[i], mMinBW[i]);
    mSumMin     += mMinBW[i];
  }
 
  // If sum of minimal masses above mother mass then give up.
  if (mSumMin + MSAFETY > mMother) return false;

  // If sum of masses below and no Breit-Wigners then done.
  if (mSum + 0.5 * MSAFETY < mMother && nBW == 0) return true;

  // Else if below then retry Breit-Wigners, with simple treshold.
  if (mSum + MSAFETY < mMother) {
    double wtMax = 2. * sqrtpos(1. - mSum*mSum / m2Mother);
    double wt;
    for (int iTryMasses = 0; iTryMasses <= NTRYMASSES; ++ iTryMasses) {
      if (iTryMasses == NTRYMASSES) return false;
      mSum = 0.;
      for (int i = 1; i <= mult; ++i) {
        if (useBW[i])  mProd[i] = particleDataPtr->mSel( idProd[i] );
        mSum += mProd[i];
      }
      wt = (mSum + 0.5 * MSAFETY < mMother)
         ? sqrtpos(1. - mSum*mSum / m2Mother) : 0.;
      if (wt > rndmPtr->flat() * wtMax) break;
    }
    return true;
  }

  // From now on some particles will have to be forced off shell.

  // Order Breit-Wigners in decreasing widths. Sum of other masses.
  vector iBW;
  double mSum0 = 0.;
  for (int i = 1; i <= mult; ++i) {
    if (useBW[i]) iBW.push_back(i);
    else          mSum0 += mProd[i];
  }
  for (int i = 1; i < nBW; ++i) {
    for (int j = i - 1; j >= 0; --j) {
      if (widthBW[iBW[j+1]] > widthBW[iBW[j]]) swap (iBW[j+1], iBW[j]);
      else break;
    }
  }

  // Do all but broadest two in increasing-width order. Includes only one.
  if (nBW != 2) {
    int iMin = (nBW == 1) ? 0 : 2;
    for (int i = nBW - 1; i >= iMin; --i) {
      int iBWi = iBW[i];

      // Find allowed mass range of current resonance.
      double mMax    = mMother - mSum0 - MSAFETY;
      if (nBW  != 1) for (int j = 0; j < i; ++j) mMax -= mMinBW[iBW[j]];
      mMax           = min( mMaxBW[iBWi], mMax );
      double mMin    = min( mMinBW[iBWi], mMax - MSAFETY);
      if (mMin < 0.) return false;
   
      // Parameters for Breit-Wigner choice, with constrained mass range.
      double m2Nom   = pow2( m0BW[iBWi] );
      double m2Max   = mMax * mMax;
      double m2Min   = mMin * mMin;
      double mmWid   = m0BW[iBWi] * widthBW[iBWi];
      double atanMin = atan( (m2Min - m2Nom) / mmWid );
      double atanMax = atan( (m2Max - m2Nom) / mmWid );
      double atanDif = atanMax - atanMin;

      // Fail if too narrow mass range; e.g. out in tail of Breit-Wigner.
      if (atanDif < TINYBWRANGE) return false;

      // Retry mass according to Breit-Wigner, with simple threshold factor.
      double mr1     = mSum0*mSum0 / m2Mother;
      double mr2     = m2Min / m2Mother;
      double wtMax   = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
      double m2Now, wt;
      for (int iTryMasses = 0; iTryMasses <= NTRYMASSES; ++ iTryMasses) {
        if (iTryMasses == NTRYMASSES) return false;
        m2Now = m2Nom + mmWid * tan(atanMin + rndmPtr->flat() * atanDif);
        mr2   = m2Now / m2Mother;
        wt    = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
        if (wt > rndmPtr->flat() * wtMax) break;
      }

      // Prepare to iterate for more. Done for one Breit-Wigner.
      mProd[iBWi] = sqrt(m2Now);
      mSum0        += mProd[iBWi];
    }
    if (nBW == 1) return true;
  }
       
  // Left to do two broadest Breit-Wigners correlated, i.e. more realistic.
  int iBW1        = iBW[0];
  int iBW2        = iBW[1];
  int idMother    = abs(idProd[0]);
  int idDau1      = abs(idProd[iBW1]);
  int idDau2      = abs(idProd[iBW2]);

  // In some cases known phase-space behaviour; else simple beta factor.
  int psMode      = 1 ;
  if ( (idMother == 25 || idMother == 35) && idDau1 < 19
    && idDau2 == idDau1 ) psMode = 3;
  if ( (idMother == 25 || idMother == 35 )
    && (idDau1 == 23 || idDau1 == 24) && idDau2 == idDau1 ) psMode = 5;
  if ( idMother == 36
    && (idDau1 == 23 || idDau1 == 24) && idDau2 == idDau1 ) psMode = 6;

  // Find allowed mass ranges. Ensure that they are not closed.
  double mRem     = mMother - mSum0 - MSAFETY;
  double mMax1    = min( mMaxBW[iBW1], mRem - mMinBW[iBW2] );
  double mMin1    = min( mMinBW[iBW1], mMax1 - MSAFETY);
  double mMax2    = min( mMaxBW[iBW2], mRem - mMinBW[iBW1] );
  double mMin2    = min( mMinBW[iBW2], mMax2 - MSAFETY);
   
  // At least one range must extend below half remaining mass.
  if (mMin1 + mMin2 > mRem) return false;
  double mMid     = 0.5 * mRem;
  bool   hasMid1  = (mMin1 < mMid);
  bool   hasMid2  = (mMin2 < mMid);
  if (!hasMid1 && !hasMid2) return false;

  // Parameters for Breit-Wigner choice, with constrained mass range.
  double m2Nom1   = pow2( m0BW[iBW1] );
  double m2Max1   = mMax1 * mMax1;
  double m2Min1   = mMin1 * mMin1;
  double m2Mid1   = min( mMid * mMid, m2Max1);
  double mmWid1   = m0BW[iBW1] * widthBW[iBW1];
  double atanMin1 = atan( (m2Min1 - m2Nom1) / mmWid1 );
  double atanMax1 = atan( (m2Max1 - m2Nom1) / mmWid1 );
  double atanMid1 = (hasMid1) ? atan( (m2Mid1 - m2Nom1) / mmWid1 ) : 0.;
  double m2Nom2   = pow2( m0BW[iBW2] );
  double m2Max2   = mMax2 * mMax2;
  double m2Min2   = mMin2 * mMin2;
  double m2Mid2   = min( mMid * mMid, m2Max2);
  double mmWid2   = m0BW[iBW2] * widthBW[iBW2];
  double atanMin2 = atan( (m2Min2 - m2Nom2) / mmWid2 );
  double atanMax2 = atan( (m2Max2 - m2Nom2) / mmWid2 );
  double atanMid2 = (hasMid2) ? atan( (m2Mid2 - m2Nom2) / mmWid2 ) : 0.;

  // Relative weight to pick either below half remaining mass.
  double probLow1 = (hasMid1) ? 1. : 0.;
  if (hasMid1 && hasMid2) {
    double intLow1 = (atanMid1 - atanMin1) * (atanMax2 - atanMin2);
    double intLow2 = (atanMax1 - atanMin1) * (atanMid2 - atanMin2);
    probLow1 = intLow1 / (intLow1 + intLow2);
  }

  // Maximum matrix element times phase space weight.
  double m2Rem    = mRem * mRem;
  double mr1      = m2Min1 / m2Rem;
  double mr2      = m2Min2 / m2Rem;
  double psMax    = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
  double wtMax   = 1.;
  if      (psMode == 1) wtMax = psMax;
  else if (psMode == 2) wtMax = psMax * psMax;
  else if (psMode == 3) wtMax = pow3(psMax);
  else if (psMode == 5) wtMax = psMax
    * (pow2(1. - mr1 - mr2) + 8. * mr1 * mr2);
  else if (psMode == 6) wtMax = pow3(psMax);
  
  // Retry mass according to Breit-Wigners, with simple threshold factor.
  double atanDif1, atanDif2, m2Now1, m2Now2, mNow1, mNow2, ps, wt;
  for (int iTryMasses = 0; iTryMasses <= NTRYMASSES; ++ iTryMasses) {
    if (iTryMasses == NTRYMASSES) return false;
 
    // Pick either below half remaining mass.
    bool pickLow1 = false;
    if (rndmPtr->flat() < probLow1) {
      atanDif1 = atanMid1 - atanMin1;
      atanDif2 = atanMax2 - atanMin2;
      pickLow1 = true;
    } else {
      atanDif1 = atanMax1 - atanMin1;
      atanDif2 = atanMid2 - atanMin2;
    }
    m2Now1 = m2Nom1 + mmWid1 * tan(atanMin1 + rndmPtr->flat() * atanDif1);
    m2Now2 = m2Nom2 + mmWid2 * tan(atanMin2 + rndmPtr->flat() * atanDif2);
    mNow1  = sqrt(m2Now1);
    mNow2  = sqrt(m2Now2);

    // Check that intended mass ordering is fulfilled.
    bool rejectRegion = (pickLow1) ? (mNow1 > mNow2) : (mNow2 > mNow1);
    if (rejectRegion) continue;

    // Threshold weight.
    mr1    = m2Now1 / m2Rem;
    mr2    = m2Now2 / m2Rem;
    wt     = 0.;
    if (mNow1 + mNow2 + MSAFETY < mMother) {
      ps   = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
      wt   = 1.;
      if      (psMode == 1) wt = ps;
      else if (psMode == 2) wt = ps * ps;
      else if (psMode == 3) wt = pow3(ps);
      else if (psMode == 5) wt = ps
        * (pow2(1. - mr1 - mr2) + 8. * mr1 * mr2);
      else if (psMode == 6) wt = pow3(ps)*mr1*mr2;
    }
    if (wt > rndmPtr->flat() * wtMax) break;
  }
  mProd[iBW1] = mNow1;
  mProd[iBW2] = mNow2;
 
  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select colours of decay products.
  
bool ResonanceDecays::pickColours(int iDec, Event& process) {

  // Reset or create arrays with colour info.
  cols.resize(0);
  acols.resize(0);
  vector iTriplet, iAtriplet, iOctet, iDipCol, iDipAcol;

  // Mother colours already known.
  int col0     = process[iDec].col();
  int acol0    = process[iDec].acol();
  int colType0 = process[iDec].colType();
  cols.push_back(  col0);
  acols.push_back(acol0);

  // Loop through all daughters.
  int colTypeNow;
  for (int i = 1; i <= mult; ++i) {
    // Daughter colours initially empty, so that all is set for singlet.
    cols.push_back(0);
    acols.push_back(0);
    // Find character (singlet, triplet, antitriplet, octet) of daughters.
    colTypeNow = particleDataPtr->colType( idProd[i] );
    if      (colTypeNow ==  0);
    else if (colTypeNow ==  1) iTriplet.push_back(i);
    else if (colTypeNow == -1) iAtriplet.push_back(i);
    else if (colTypeNow ==  2) iOctet.push_back(i);
    // Add two entries for sextets;
    else if (colTypeNow ==  3) {
      iTriplet.push_back(i);
      iTriplet.push_back(i);
    } else if (colTypeNow == -3) {
      iAtriplet.push_back(i);
      iAtriplet.push_back(i);
    } else {
      infoPtr->errorMsg("Error in ResonanceDecays::pickColours:"
        " unknown colour type encountered");
      return false;
    }
  }

  // Check excess of colours and anticolours in final over initial state.
  int nCol = iTriplet.size();
  if (colType0 == 1 || colType0 == 2) nCol -= 1;
  else if (colType0 == 3) nCol -= 2;
  int nAcol = iAtriplet.size();
  if (colType0 == -1 || colType0 == 2) nAcol -= 1;
  else if (colType0 == -3) nAcol -= 2;

  // If net creation of three colours then find junction kind:
  // mother is 1 = singlet, triplet, or sextet (no incoming RPV tags)
  //           3 = antitriplet, octet, or antisextet (acol0 = incoming RPV tag)
  //           5 = not applicable to decays (needs two incoming RPV tags)
  if (nCol - nAcol == 3) {
    int kindJun = (colType0 == 0 || colType0 == 1 || colType0 == 3) ? 1 : 3;

    // Set colours in three junction legs and store junction.
    int colJun[3];
    colJun[0] = (kindJun == 1) ? process.nextColTag() : acol0;
    colJun[1] = process.nextColTag();
    colJun[2] = process.nextColTag();
    process.appendJunction( kindJun, colJun[0], colJun[1], colJun[2]);
 
    // Loop over three legs. Remove an incoming anticolour on first leg.
    for (int leg = 0; leg < 3; ++leg) {
      if (leg == 0 && kindJun != 1) acol0 = 0;

      // Pick final-state triplets to carry these new colours.
      else {
        int pickT    = (iTriplet.size() == 1) ? 0
          : int( TINY + rndmPtr->flat() * (iTriplet.size() - TINY) );
        int iPickT   = iTriplet[pickT];
        cols[iPickT] = colJun[leg];

        // Remove matched triplet and store new colour dipole ends.
        iTriplet[pickT] = iTriplet.back();
        iTriplet.pop_back();
        iDipCol.push_back(iPickT);
        iDipAcol.push_back(0);
      }
    }

    // Update colour counter. Done with junction.
    nCol -= 3;
  }

  // If net creation of three anticolours then find antijunction kind:
  // mother is 2 = singlet, antitriplet, or antisextet (no incoming RPV tags)
  //           4 = triplet, octet, or sextet (col0 = incoming RPV tag)
  //           6 = not applicable to decays (needs two incoming RPV tags)
  if (nAcol - nCol == 3) {
    int kindJun = (colType0 == 0 || colType0 == -1 || colType0 == -3) ? 2 : 4;

    // Set anticolours in three antijunction legs and store antijunction.
    int acolJun[3];
    acolJun[0] = (kindJun == 2) ? process.nextColTag() : col0;
    acolJun[1] = process.nextColTag();
    acolJun[2] = process.nextColTag();
    process.appendJunction( kindJun, acolJun[0], acolJun[1], acolJun[2]);
 
    // Loop over three legs. Remove an incoming colour on first leg.
    for (int leg = 0; leg < 3; ++leg) {
      if (leg == 0 && kindJun != 2) col0 = 0;

      // Pick final-state antitriplets to carry these new anticolours.
      else {
        int pickA     = (iAtriplet.size() == 1) ? 0
          : int( TINY + rndmPtr->flat() * (iAtriplet.size() - TINY) );
        int iPickA    = iAtriplet[pickA];
        acols[iPickA] = acolJun[leg];

        // Remove matched antitriplet and store new colour dipole ends.
        iAtriplet[pickA] = iAtriplet.back();
        iAtriplet.pop_back();
        iDipCol.push_back(0);
        iDipAcol.push_back(iPickA);
      }
    }

    // Update anticolour counter. Done with antijunction.
    nAcol -= 3;
  }

  // If colours and anticolours do not match now then unphysical.
  if (nCol != nAcol) {
    infoPtr->errorMsg("Error in ResonanceDecays::pickColours:"
      " inconsistent colour tags");
    return false;
  }

  // Pick final-state triplet (if any) to carry initial colour.
  if (col0 > 0 && iTriplet.size() > 0) {
    int pickT    = (iTriplet.size() == 1) ? 0
      : int( TINY + rndmPtr->flat() * (iTriplet.size() - TINY) );
    int iPickT = iTriplet[pickT];
    cols[iPickT] = col0;

    // Remove matched triplet and store new colour dipole ends.
    col0 = 0;
    iTriplet[pickT] = iTriplet.back();
    iTriplet.pop_back();
    iDipCol.push_back(iPickT);
    iDipAcol.push_back(0);
  }

  // Pick final-state antitriplet (if any) to carry initial anticolour.
  if (acol0 > 0 && iAtriplet.size() > 0) {
    int pickA = (iAtriplet.size() == 1) ? 0
      : int( TINY + rndmPtr->flat() * (iAtriplet.size() - TINY) );
    int iPickA = iAtriplet[pickA];
    acols[iPickA] = acol0;

    // Remove matched antitriplet and store new colour dipole ends.
    acol0 = 0;
    iAtriplet[pickA] = iAtriplet.back();
    iAtriplet.pop_back();
    iDipCol.push_back(0);
    iDipAcol.push_back(iPickA);
  }

  // Sextets: second final-state triplet (if any)
  if (acol0 < 0 && iTriplet.size() > 0) {
    int pickT = (iTriplet.size() == 1) ? 0
      : int( TINY + rndmPtr->flat() * (iTriplet.size() - TINY) );
    int iPickT = iTriplet[pickT];
    cols[iPickT] = -acol0;

    // Remove matched antitriplet and store new colour dipole ends.
    acol0 = 0;
    iTriplet[pickT] = iTriplet.back();
    iTriplet.pop_back();
    iDipCol.push_back(iPickT);
    iDipAcol.push_back(0);
  }

  // Sextets: second final-state antitriplet (if any)
  if (col0 < 0 && iAtriplet.size() > 0) {
    int pickA    = (iAtriplet.size() == 1) ? 0
      : int( TINY + rndmPtr->flat() * (iAtriplet.size() - TINY) );
    int iPickA = iAtriplet[pickA];
    acols[iPickA] = -col0;

    // Remove matched triplet and store new colour dipole ends.
    col0 = 0;
    iAtriplet[pickA] = iAtriplet.back();
    iAtriplet.pop_back();
    iDipCol.push_back(0);
    iDipAcol.push_back(iPickA);
  }

  // Error checks that amount of leftover colours and anticolours match.
  if ( (iTriplet.size() != iAtriplet.size())
    || (col0 != 0 && acol0 == 0) || (col0 == 0 && acol0 != 0) ) {
    infoPtr->errorMsg("Error in ResonanceDecays::pickColours:"
      " inconsistent colour tags");
    return false;
  }

  // Match triplets to antitriplets in the final state.
  for (int pickT = 0; pickT < int(iTriplet.size()); ++pickT) {
    int iPickT = iTriplet[pickT];
    int pickA  = (iAtriplet.size() == 1) ? 0
      : int( TINY + rndmPtr->flat() * (iAtriplet.size() - TINY) );
    int iPickA = iAtriplet[pickA];

    // Connect pair with new colour tag.
    cols[iPickT]  = process.nextColTag();
    acols[iPickA] = cols[iPickT];

    // Remove matched antitriplet and store new colour dipole ends.
    iAtriplet[pickT] = iAtriplet.back();
    iAtriplet.pop_back();
    iDipCol.push_back(iPickT);
    iDipAcol.push_back(iPickA);
  }

  // If no octets are around then matching is done.
  if (col0 == 0 && acol0 == 0 && iOctet.size() == 0) return true;

  // If initial-state octet remains then store as (first!) new dipole.
  if (col0 != 0) {
    iDipCol.push_back(0);
    iDipAcol.push_back(0);
  }
  
  // Now attach all final-state octets at random to existing dipoles.
  for (int i = 0; i < int(iOctet.size()); ++i) {
    int iOct = iOctet[i];

    // If no dipole then start new one. (Happens for singlet -> octets.)
    if (iDipCol.size() == 0) {
      cols[iOct]  = process.nextColTag();
      acols[iOct] = cols[iOct] ;
      iDipCol.push_back(iOct);
      iDipAcol.push_back(iOct);
    }

    // Else attach to existing dipole picked at random.
    else {
      int pickDip = (iDipCol.size() == 1) ? 0
        : int( TINY + rndmPtr->flat() * (iDipCol.size() - TINY) );

      // Case with dipole in initial state: reattach existing colours.
      if (iDipCol[pickDip] == 0 && iDipAcol[pickDip] == 0) {
        cols[iOct]        = col0;
        acols[iOct]       = acol0;
        iDipAcol[pickDip] = iOct;
        iDipCol.push_back(iOct);
        iDipAcol.push_back(0);

      // Case with dipole from colour in initial state: also new colour.
      } else if (iDipAcol[pickDip] == 0) {
        int iPickCol      = iDipCol[pickDip];
        cols[iOct]        = cols[iPickCol];
        acols[iOct]       = process.nextColTag();
        cols[iPickCol]    = acols[iOct];
        iDipCol[pickDip]  = iOct;
        iDipCol.push_back(iPickCol);
        iDipAcol.push_back(iOct);

      // Remaining cases with dipole from anticolour in initial state
      // or dipole inside final state: also new colour.
      } else {
        int iPickAcol     = iDipAcol[pickDip];
        acols[iOct]       = acols[iPickAcol];
        cols[iOct]        = process.nextColTag();
        acols[iPickAcol]  = cols[iOct];
        iDipAcol[pickDip] = iOct;
        iDipCol.push_back(iOct);
        iDipAcol.push_back(iPickAcol);
      }
    }
  }
  
  // Must now have at least two dipoles (no 1 -> 8 or 8 -> 1).
  if (iDipCol.size() < 2) {
    infoPtr->errorMsg("Error in ResonanceDecays::pickColours:"
      " inconsistent colour tags");
    return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select decay products momenta isotropically in phase space.
// Process-dependent angular distributions may be imposed in SigmaProcess.
  
bool ResonanceDecays::pickKinematics() {

  // Description of two-body decays as simple special case.
  if (mult == 2) {

    // Masses.
    m0          = mProd[0];
    double m1   = mProd[1];
    double m2   = mProd[2];

    // Energies and absolute momentum in the rest frame.
    double e1   = 0.5 * (m0*m0 + m1*m1 - m2*m2) / m0;
    double e2   = 0.5 * (m0*m0 + m2*m2 - m1*m1) / m0;
    double pAbs = 0.5 * sqrtpos( (m0 - m1 - m2) * (m0 + m1 + m2)
      * (m0 + m1 - m2) * (m0 - m1 + m2) ) / m0;

    // Pick isotropic angles to give three-momentum.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = pAbs * sinTheta * cos(phi);
    double pY       = pAbs * sinTheta * sin(phi);
    double pZ       = pAbs * cosTheta;

    // Fill four-momenta in mother rest frame and then boost to lab frame.
    pProd.push_back( Vec4(  pX,  pY,  pZ, e1) );
    pProd.push_back( Vec4( -pX, -pY, -pZ, e2) );
    pProd[1].bst( pProd[0] );
    pProd[2].bst( pProd[0] );

    // Done for two-body decay.
    return true;
  }

  // Description of three-body decays as semi-simple special case.
  if (mult == 3) {

    // Masses.
    m0             = mProd[0];
    double m1      = mProd[1];
    double m2      = mProd[2];
    double m3      = mProd[3];
    double mDiff   = m0 - (m1 + m2 + m3);

    // Kinematical limits for 2+3 mass. Maximum phase-space weight.
    double m23Min  = m2 + m3;
    double m23Max  = m0 - m1;
    double p1Max   = 0.5 * sqrtpos( (m0 - m1 - m23Min) * (m0 + m1 + m23Min)
      * (m0 + m1 - m23Min) * (m0 - m1 + m23Min) ) / m0;
    double p23Max  = 0.5 * sqrtpos( (m23Max - m2 - m3) * (m23Max + m2 + m3)
      * (m23Max + m2 - m3) * (m23Max - m2 + m3) ) / m23Max;
    double wtPSmax = 0.5 * p1Max * p23Max;

    // Pick an intermediate mass m23 flat in the allowed range.
    double wtPS, m23, p1Abs, p23Abs;
    do {
      m23 = m23Min + rndmPtr->flat() * mDiff;

      // Translate into relative momenta and find phase-space weight.
      p1Abs  = 0.5 * sqrtpos( (m0 - m1 - m23) * (m0 + m1 + m23)
        * (m0 + m1 - m23) * (m0 - m1 + m23) ) / m0;
      p23Abs = 0.5 * sqrtpos( (m23 - m2 - m3) * (m23 + m2 + m3)
        * (m23 + m2 - m3) * (m23 - m2 + m3) ) / m23;
      wtPS   = p1Abs * p23Abs;

    // If rejected, try again with new invariant masses.
    } while ( wtPS < rndmPtr->flat() * wtPSmax );

    // Set up m23 -> m2 + m3 isotropic in its rest frame.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = p23Abs * sinTheta * cos(phi);
    double pY       = p23Abs * sinTheta * sin(phi);
    double pZ       = p23Abs * cosTheta;
    double e2       = sqrt( m2*m2 + p23Abs*p23Abs);
    double e3       = sqrt( m3*m3 + p23Abs*p23Abs);
    Vec4 p2(  pX,  pY,  pZ, e2);
    Vec4 p3( -pX, -pY, -pZ, e3);

    // Set up 0 -> 1 + 23 isotropic in its rest frame.
    cosTheta        = 2. * rndmPtr->flat() - 1.;
    sinTheta        = sqrt(1. - cosTheta*cosTheta);
    phi             = 2. * M_PI * rndmPtr->flat();
    pX              = p1Abs * sinTheta * cos(phi);
    pY              = p1Abs * sinTheta * sin(phi);
    pZ              = p1Abs * cosTheta;
    double e1       = sqrt( m1*m1 + p1Abs*p1Abs);
    double e23      = sqrt( m23*m23 + p1Abs*p1Abs);
    pProd.push_back( Vec4( pX, pY, pZ, e1) );

    // Boost 2 + 3 to the 0 rest frame and then boost to lab frame.
    Vec4 p23( -pX, -pY, -pZ, e23);
    p2.bst( p23 );
    p3.bst( p23 );
    pProd.push_back( p2 );
    pProd.push_back( p3 );
    pProd[1].bst( pProd[0] );
    pProd[2].bst( pProd[0] );
    pProd[3].bst( pProd[0] );

    // Done for three-body decay.
    return true;
  }

  // Do a multibody decay using the M-generator algorithm.

  // Mother and sum daughter masses.
  m0             = mProd[0];
  double mSum    = mProd[1];
  for (int i = 2; i <= mult; ++i) mSum += mProd[i];
  double mDiff   = m0 - mSum;
   
  // Begin setup of intermediate invariant masses.
  vector mInv;
  for (int i = 0; i <= mult; ++i) mInv.push_back( mProd[i]);

  // Calculate the maximum weight in the decay.
  double wtPSmax = 1. / WTCORRECTION[mult];
  double mMax    = mDiff + mProd[mult];
  double mMin    = 0.;
  for (int i = mult - 1; i > 0; --i) {
    mMax        += mProd[i];
    mMin        += mProd[i+1];
    double mNow  = mProd[i];
    wtPSmax *= 0.5 * sqrtpos( (mMax - mMin - mNow) * (mMax + mMin + mNow)
    * (mMax + mMin - mNow) * (mMax - mMin + mNow) ) / mMax;
  }

  // Begin loop to find the set of intermediate invariant masses.
  vector rndmOrd;
  double wtPS;
  do {
    wtPS  = 1.;

    // Find and order random numbers in descending order.
    rndmOrd.resize(0);
    rndmOrd.push_back(1.);
    for (int i = 1; i < mult - 1; ++i) {
      double rndm = rndmPtr->flat();
      rndmOrd.push_back(rndm);
      for (int j = i - 1; j > 0; --j) {
        if (rndm > rndmOrd[j]) swap( rndmOrd[j], rndmOrd[j+1] );
        else break;
      }
    }
    rndmOrd.push_back(0.);
  
    // Translate into intermediate masses and find weight.
    for (int i = mult - 1; i > 0; --i) {
      mInv[i] = mInv[i+1] + mProd[i] + (rndmOrd[i-1] - rndmOrd[i]) * mDiff;
      wtPS   *= 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - mProd[i])
        * (mInv[i] + mInv[i+1] + mProd[i]) * (mInv[i] + mInv[i+1] - mProd[i])
        * (mInv[i] - mInv[i+1] + mProd[i]) ) / mInv[i];
    }

  // If rejected, try again with new invariant masses.
  } while ( wtPS < rndmPtr->flat() * wtPSmax );

  // Perform two-particle decays in the respective rest frame.
  vector pInv;
  pInv.resize(mult + 1);
  for (int i = 1; i < mult; ++i) {
    double pAbs = 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - mProd[i])
      * (mInv[i] + mInv[i+1] + mProd[i]) * (mInv[i] + mInv[i+1] - mProd[i])
      * (mInv[i] - mInv[i+1] + mProd[i]) ) / mInv[i];

    // Isotropic angles give three-momentum.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = pAbs * sinTheta * cos(phi);
    double pY       = pAbs * sinTheta * sin(phi);
    double pZ       = pAbs * cosTheta;

    // Calculate energies, fill four-momenta.
    double eHad     = sqrt( mProd[i]*mProd[i] + pAbs*pAbs);
    double eInv     = sqrt( mInv[i+1]*mInv[i+1] + pAbs*pAbs);
    pProd.push_back( Vec4( pX, pY, pZ, eHad) );
    pInv[i+1].p( -pX, -pY, -pZ, eInv);
  }
  pProd.push_back( pInv[mult] );
  
  // Boost decay products to the mother rest frame and on to lab frame.
  pInv[1] = pProd[0];
  for (int iFrame = mult - 1; iFrame > 0; --iFrame)
    for (int i = iFrame; i <= mult; ++i) pProd[i].bst(pInv[iFrame]);

  // Done for multibody decay.
  return true;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/BeamShape.cc0000644000175000017500000001121712357054760015275 0ustar  sunsun// BeamShape.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the BeamShape class.

#include "Pythia8/BeamShape.h"

namespace Pythia8 {
 
//==========================================================================

// The BeamShape class.

//--------------------------------------------------------------------------

// Initialize beam parameters.

  void BeamShape::init( Settings& settings, Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr             = rndmPtrIn;

  // Main flags.
  allowMomentumSpread = settings.flag("Beams:allowMomentumSpread");
  allowVertexSpread   = settings.flag("Beams:allowVertexSpread");

  // Parameters for beam A momentum spread.
  sigmaPxA            = settings.parm("Beams:sigmaPxA");
  sigmaPyA            = settings.parm("Beams:sigmaPyA");
  sigmaPzA            = settings.parm("Beams:sigmaPzA");
  maxDevA             = settings.parm("Beams:maxDevA");

  // Parameters for beam B momentum spread.
  sigmaPxB            = settings.parm("Beams:sigmaPxB");
  sigmaPyB            = settings.parm("Beams:sigmaPyB");
  sigmaPzB            = settings.parm("Beams:sigmaPzB");
  maxDevB             = settings.parm("Beams:maxDevB");
 
  // Parameters for beam vertex spread.
  sigmaVertexX        = settings.parm("Beams:sigmaVertexX");
  sigmaVertexY        = settings.parm("Beams:sigmaVertexY");
  sigmaVertexZ        = settings.parm("Beams:sigmaVertexZ");
  maxDevVertex        = settings.parm("Beams:maxDevVertex");
  sigmaTime           = settings.parm("Beams:sigmaTime");
  maxDevTime          = settings.parm("Beams:maxDevTime");
 
  // Parameters for beam vertex offset.
  offsetX             = settings.parm("Beams:offsetVertexX");
  offsetY             = settings.parm("Beams:offsetVertexY");
  offsetZ             = settings.parm("Beams:offsetVertexZ");
  offsetT             = settings.parm("Beams:offsetTime");

}

//--------------------------------------------------------------------------

// Set the two beam momentum deviations and the beam vertex.

void BeamShape::pick() {

  // Reset all values.
  deltaPxA = deltaPyA = deltaPzA = deltaPxB = deltaPyB = deltaPzB
    = vertexX = vertexY = vertexZ = vertexT = 0.;

  // Set beam A momentum deviation by a three-dimensional Gaussian.
  if (allowMomentumSpread) {
    double totalDev, gauss;
    do {
      totalDev = 0.;
      if (sigmaPxA > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPxA  = sigmaPxA * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaPyA > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPyA  = sigmaPyA * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaPzA > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPzA  = sigmaPzA * gauss;
        totalDev += gauss * gauss;
      }
    } while (totalDev > maxDevA * maxDevA);

    // Set beam B momentum deviation by a three-dimensional Gaussian.
    do {
      totalDev = 0.;
      if (sigmaPxB > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPxB  = sigmaPxB * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaPyB > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPyB  = sigmaPyB * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaPzB > 0.) {
        gauss     = rndmPtr->gauss();
        deltaPzB  = sigmaPzB * gauss;
        totalDev += gauss * gauss;
      }
    } while (totalDev > maxDevB * maxDevB);
  }

  // Set beam vertex location by a three-dimensional Gaussian.
  if (allowVertexSpread) {
    double totalDev, gauss;
    do {
      totalDev = 0.;
      if (sigmaVertexX > 0.) {
        gauss     = rndmPtr->gauss();
        vertexX   = sigmaVertexX * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaVertexY > 0.) {
        gauss     = rndmPtr->gauss();
        vertexY   = sigmaVertexY * gauss;
        totalDev += gauss * gauss;
      }
      if (sigmaVertexZ > 0.) {
        gauss     = rndmPtr->gauss();
        vertexZ   = sigmaVertexZ * gauss;
        totalDev += gauss * gauss;
      }
    } while (totalDev > maxDevVertex * maxDevVertex);

    // Set beam collision time by a Gaussian.
    if (sigmaTime > 0.) {
      do gauss    = rndmPtr->gauss();
      while (abs(gauss) > maxDevTime);
      vertexT     = sigmaTime * gauss;
    }

    // Add offset to beam vertex.
    vertexX      += offsetX;
    vertexY      += offsetY;
    vertexZ      += offsetZ;
    vertexT      += offsetT;
  }

}
 
//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/BeamRemnants.cc0000644000175000017500000013167212357054760016034 0ustar  sunsun// BeamRemnants.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// BeamRemnants class.

#include "Pythia8/BeamRemnants.h"

namespace Pythia8 {

//==========================================================================

// The BeamDipole class is purely internal to reconnectColours.

class BeamDipole {

public:

  // Constructor.
  BeamDipole( int colIn = 0, int iColIn = 0, int iAcolIn = 0)
    : col(colIn), iCol(iColIn), iAcol(iAcolIn) {}

  // Members.
  int    col, iCol, iAcol;
  double p1p2;
 
};

//==========================================================================

// The BeamRemnants class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// If same (anti)colour appears twice in final state, repair or reject.
const bool   BeamRemnants::ALLOWCOLOURTWICE = true;

// Maximum number of tries to match colours and kinematics in the event.
const int    BeamRemnants::NTRYCOLMATCH     = 10;
const int    BeamRemnants::NTRYKINMATCH     = 10;

// Overall correction step for energy-momentum conservation; only
// becomes relevant in rescattering scenarios when FSR dipole emissions
// and primordial kT is added. Should hopefully not be needed.
const bool   BeamRemnants::CORRECTMISMATCH  = false;

//--------------------------------------------------------------------------

// Initialization.

bool BeamRemnants::init( Info* infoPtrIn, Settings& settings, Rndm* rndmPtrIn,
  BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
  PartonSystems* partonSystemsPtrIn) {

  // Save pointers.
  infoPtr             = infoPtrIn;
  rndmPtr             = rndmPtrIn;
  beamAPtr            = beamAPtrIn;
  beamBPtr            = beamBPtrIn;
  partonSystemsPtr    = partonSystemsPtrIn;

  // Width of primordial kT distribution.
  doPrimordialKT      = settings.flag("BeamRemnants:primordialKT");
  primordialKTsoft    = settings.parm("BeamRemnants:primordialKTsoft");
  primordialKThard    = settings.parm("BeamRemnants:primordialKThard");
  primordialKTremnant = settings.parm("BeamRemnants:primordialKTremnant");
  halfScaleForKT      = settings.parm("BeamRemnants:halfScaleForKT");
  halfMassForKT       = settings.parm("BeamRemnants:halfMassForKT");

  // Handling of rescattering kinematics uncertainties from primodial kT.
  allowRescatter    = settings.flag("MultipartonInteractions:allowRescatter");
  doRescatterRestoreY = settings.flag("BeamRemnants:rescatterRestoreY");

  // Parameters for colour reconnection scenario, partly borrowed from
  // multiparton interactions not to introduce too many new ones.
  doReconnect         = settings.flag("BeamRemnants:reconnectColours");
  reconnectRange      = settings.parm("BeamRemnants:reconnectRange");
  pT0Ref              = settings.parm("MultipartonInteractions:pT0Ref");
  ecmRef              = settings.parm("MultipartonInteractions:ecmRef");
  ecmPow              = settings.parm("MultipartonInteractions:ecmPow");

  // Total and squared CM energy at nominal energy.
  eCM                 = infoPtr->eCM();
  sCM                 = eCM * eCM;

  // The MPI pT0 smoothening scale and its reconnection-strength combination.
  pT0                 = pT0Ref * pow(eCM / ecmRef, ecmPow);
  pT20Rec             = pow2(reconnectRange * pT0);
  
  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select the flavours/kinematics/colours of the two beam remnants.
// Notation: iPar = all partons, iSys = matched systems of two beams,
//           iRem = additional partons in remnants.

bool BeamRemnants::add( Event& event) {

  // Update to current CM energy.
  eCM     = infoPtr->eCM();
  sCM     = eCM * eCM;

  // Check that flavour bookkept in event and in beam particles agree.
  for (int i = 0; i < beamAPtr->size(); ++i) {
    int j = (*beamAPtr)[i].iPos();
    if ((*beamAPtr)[i].id() != event[j].id()) {
      infoPtr->errorMsg("Error in BeamRemnants::add: "
        "event and beam flavours do not match");
      return false;
    }
  }
  for (int i = 0; i < beamBPtr->size(); ++i) {
    int j =  (*beamBPtr)[i].iPos();
    if ((*beamBPtr)[i].id() != event[j].id()) {
      infoPtr->errorMsg("Error in BeamRemnants::add: "
        "event and beam flavours do not match");
      return false;
    }
  }

  // Number of scattering subsystems. Size of event record before treatment.
  nSys    = partonSystemsPtr->sizeSys();
  oldSize = event.size();

  // Add required extra remnant flavour content.
  // Start all over if fails (in option where junctions not allowed).
  if ( !beamAPtr->remnantFlavours(event)
    || !beamBPtr->remnantFlavours(event) ) {
    infoPtr->errorMsg("Error in BeamRemnants::add:"
      " remnant flavour setup failed");
    return false;
  }

  // Do the kinematics of the collision subsystems and two beam remnants.
  if (!setKinematics(event)) return false;

  // Allow colour reconnections.
  if (doReconnect) reconnectColours(event);

  // Save current modifiable colour configuration for fast restoration.
  vector colSave;
  vector acolSave;
  for (int i = oldSize; i < event.size(); ++i) {
    colSave.push_back( event[i].col() );
    acolSave.push_back( event[i].acol() );
  }
  event.saveJunctionSize();
  
  // Allow several tries to match colours of initiators and remnants.
  // Frequent "failures" since shortcutting colours separately on
  // the two event sides may give "colour singlet gluons" etc.
  bool physical = true;
  for (int iTry = 0; iTry < NTRYCOLMATCH; ++iTry) {
    physical = true;

    // Reset list of colour "collapses" (transformations).
    colFrom.resize(0);
    colTo.resize(0);

    // First process each set of beam colours on its own.
    if (!beamAPtr->remnantColours(event, colFrom, colTo))
      physical = false;
    if (!beamBPtr->remnantColours(event, colFrom, colTo))
      physical = false;

    // Then check that colours and anticolours are matched in whole event.
    if ( physical && !checkColours(event) ) physical = false;

    // If no problems then done, else restore and loop.
    if (physical) break;
    for (int i = oldSize; i < event.size(); ++i)
      event[i].cols( colSave[i - oldSize], acolSave[i - oldSize] );
    event.restoreJunctionSize();
    infoPtr->errorMsg("Warning in BeamRemnants::add:"
      " colour tracing failed; will try again");
  }

  // If no solution after several tries then failed.
  if (!physical) {
    infoPtr->errorMsg("Error in BeamRemnants::add:"
      " colour tracing failed after several attempts");
    return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Set up trial transverse and longitudinal kinematics for each beam
// separately. Final decisions involve comparing the two beams.

bool BeamRemnants::setKinematics( Event& event) {

  // References to beams to simplify indexing.
  BeamParticle& beamA = *beamAPtr;
  BeamParticle& beamB = *beamBPtr;

  // Nothing to do for lepton-lepton scattering with all energy already used.
  if ( beamA.isUnresolvedLepton() && beamB.isUnresolvedLepton() )
    return true;

  // Check that has not already used up beams.
  if ( (!beamA.isLepton() && beamA.xMax(-1) <= 0.)
    || (!beamB.isLepton() && beamB.xMax(-1) <= 0.) ) {
    infoPtr->errorMsg("Error in BeamRemnants::setKinematics:"
      " no momentum left for beam remnants");
    return false;
  }

  // Last beam-status particles. Offset relative to normal beam locations.
  int nBeams   = 3;
  for (int i = 3; i < event.size(); ++i)
    if (event[i].statusAbs() < 20) nBeams = i + 1;
  int nOffset  = nBeams - 3;

  // Reserve space for extra information on the systems and beams.
  int nMaxBeam = max( beamA.size(), beamB.size() );
  vector sHatSys(nMaxBeam);
  vector kTwidth(nMaxBeam);
  vector kTcomp(nMaxBeam);
  vector Msys(nSys);

  // Loop over all subsystems. Default values. Find invariant mass.
  double kTcompSumA   = 0.;
  double kTcompSumB   = 0.;
  for (int iSys = 0; iSys < nSys; ++iSys) {
    double kTwidthNow = 0.;
    double mHatDamp   = 1.;
    int iInA          = partonSystemsPtr->getInA(iSys);
    int iInB          = partonSystemsPtr->getInB(iSys);
    double sHatNow    = (event[iInA].p() + event[iInB].p()).m2Calc();

    // Allow primordial kT reduction for small-mass and small-pT systems
    // (for hardest interaction pT -> renormalization scale so also 2 -> 1).
    if (doPrimordialKT) {
      double mHat     = sqrt(sHatNow);
      mHatDamp        = mHat / (mHat + halfMassForKT);
      double scale    = (iSys == 0) ? infoPtr->QRen(iDS)
                      : partonSystemsPtr->getPTHat(iSys);
      kTwidthNow      = ( (halfScaleForKT * primordialKTsoft
      + scale * primordialKThard) / (halfScaleForKT + scale) ) * mHatDamp;
    }

    // Store properties of compensation systems and total compensation power.
    // Rescattered partons do not compensate, but may be massive.
    sHatSys[iSys] = sHatNow;
    kTwidth[iSys] = kTwidthNow ;
    kTcomp[iSys]  = mHatDamp;
    if (beamA[iSys].isFromBeam()) kTcompSumA += mHatDamp;
    else beamA[iSys].m( event[iInA].m() );
    if (beamB[iSys].isFromBeam()) kTcompSumB += mHatDamp;
    else beamB[iSys].m( event[iInB].m() );
  }

  // Primordial kT and compensation power among remnants.
  double kTwidthNow = (doPrimordialKT) ? primordialKTremnant : 0.;
  for (int iRem = nSys; iRem < nMaxBeam; ++iRem) {
    sHatSys[iRem] = 0.;
    kTwidth[iRem] = kTwidthNow ;
    kTcomp[iRem]  = 1.;
  }
  kTcompSumA += beamA.size() - nSys;
  kTcompSumB += beamB.size() - nSys;

  // Allow ten tries to construct kinematics (but normally works first).
  bool physical;
  double xSum[2], xInvM[2], w2Beam[2], wPosRem, wNegRem, w2Rem;
  for (int iTry = 0; iTry < NTRYKINMATCH; ++iTry) {
    physical = true;

    // Loop over the two beams.
    for (int iBeam = 0; iBeam < 2; ++iBeam) {
      BeamParticle& beam = (iBeam == 0) ? beamA : beamB;
      int nPar = beam.size();
 
      // Generate Gaussian pT for initiator partons inside hadrons.
      // Store/restore rescattered parton momenta before primordial kT.
      if (beam.isHadron() && doPrimordialKT) {
        double pxSum = 0.;
        double pySum = 0.;
        for (int iPar = 0; iPar < nPar; ++iPar) {
          if ( beam[iPar].isFromBeam() ) {
            pair gauss2 = rndmPtr->gauss2();
            double px = kTwidth[iPar] * gauss2.first;
            double py = kTwidth[iPar] * gauss2.second;
            beam[iPar].px(px);
            beam[iPar].py(py);
            pxSum += px;
            pySum += py;
          } else {
            int iInAB = (iBeam == 0) ? partonSystemsPtr->getInA(iPar)
                                     : partonSystemsPtr->getInB(iPar);
            beam[iPar].p( event[iInAB].p() );
          }
        }

        // Share recoil between all initiator partons, rescatterers excluded.
        double kTcompSum = (iBeam == 0) ? kTcompSumA : kTcompSumB;
        for (int iPar = 0; iPar < nPar; ++iPar)
        if (beam[iPar].isFromBeam() ) {
          beam[iPar].px( beam[iPar].px() - pxSum * kTcomp[iPar] / kTcompSum );
          beam[iPar].py( beam[iPar].py() - pySum * kTcomp[iPar] / kTcompSum );
        }

      // Without primordial kT: still need to store rescattered partons.
      } else if (beam.isHadron()) {
        for (int iPar = 0; iPar < nPar; ++iPar)
        if ( !beam[iPar].isFromBeam() ) {
          int iInAB = (iBeam == 0) ? partonSystemsPtr->getInA(iPar)
                                   : partonSystemsPtr->getInB(iPar);
          beam[iPar].p( event[iInAB].p() );
        }
      }

      // Pick unrescaled x values for remnants. Sum up (unscaled) p+ and p-.
      xSum[iBeam]  = 0.;
      xInvM[iBeam] = 0.;
      for (int iRem = nSys; iRem < nPar; ++iRem) {
        double xPrel = beam.xRemnant( iRem);
        beam[iRem].x(xPrel);
        xSum[iBeam]  += xPrel;
        xInvM[iBeam] += beam[iRem].mT2()/xPrel;
      }

      // Squared transverse mass for each beam, using lightcone x.
      w2Beam[iBeam] = xSum[iBeam] * xInvM[iBeam];
  
    // End separate treatment of the two beams.
    }

    // Recalculate kinematics of initiator systems with primordial kT.
    wPosRem = eCM;
    wNegRem = eCM;
    for (int iSys = 0; iSys < nSys; ++iSys) {
      int iA          = beamA[iSys].iPos();
      int iB          = beamB[iSys].iPos();
      double sHat     = sHatSys[iSys];

      // Classify system: rescattering on either or both sides?
      bool normalA    = beamA[iSys].isFromBeam();
      bool normalB    = beamB[iSys].isFromBeam();
      bool normalSys  = normalA && normalB;
      bool doubleRes  = !normalA && !normalB;

      // Check whether final-state system momentum matches initial-state one.
      if (allowRescatter && CORRECTMISMATCH) {
        Vec4 pInitial = event[iA].p() + event[iB].p();
        Vec4 pFinal;
        for (int iMem = 0; iMem < partonSystemsPtr->sizeOut(iSys); ++iMem) {
          int iAB      = partonSystemsPtr->getOut(iSys, iMem);
          if (event[iAB].isFinal()) pFinal += event[iAB].p();
        }

        // Scale down primordial kT from side A if p+ increased.
        if (normalA && pFinal.pPos() > pInitial.pPos())
          beamA[iSys].scalePT( pInitial.pPos() / pFinal.pPos() );

        // Scale down primordial kT from side B if p- increased.
        if (normalB && pFinal.pNeg() > pInitial.pNeg())
          beamB[iSys].scalePT( pInitial.pNeg() / pFinal.pNeg() );
      }

      // Rescatter: possible change in sign of lightcone momentum of a
      //            rescattered parton. If this happens, try to pick
      //            new primordial kT values
      if (allowRescatter
         && (event[iA].pPos() / beamA[iSys].pPos() < 0
         ||  event[iB].pNeg() / beamB[iSys].pNeg() < 0) ) {
        infoPtr->errorMsg("Warning in BeamRemnants::setKinematics:"
          " change in lightcone momentum sign; retrying kinematics");
        physical = false;
        break;
      }

      // Begin kinematics of partons after primordial kT has been added.
      double sHatTAft = sHat + pow2( beamA[iSys].px() + beamB[iSys].px())
                             + pow2( beamA[iSys].py() + beamB[iSys].py());
      double w2A      = beamA[iSys].mT2();
      double w2B      = beamB[iSys].mT2();
      double w2Diff   = sHatTAft - w2A - w2B;
      double lambda   = pow2(w2Diff) - 4. * w2A * w2B;

      // Too large transverse momenta means that kinematics will not work.
      if (lambda <= 0.) {
        physical      = false;
        break;
      }
      double lamRoot  = sqrtpos( lambda );

      // Mirror solution if the two incoming have reverse rapidity ordering.
      if (allowRescatter && doubleRes && (event[iA].pPos() * event[iB].pNeg()
        < event[iA].pNeg() * event[iB].pPos()) ) lamRoot = -lamRoot;

      // Two procedures, which agree for normal scattering, separate here.
      // First option keeps rapidity (and mass) of system unchanged by
      // primordial kT, by modification of rescattered parton.
      if (normalSys || doRescatterRestoreY || doubleRes) {

        // Find kinematics of initial system: transverse mass, and
        // longitudinal momentum carried by all or rescattered partons.
        double sHatTBef = sHat;
        double wPosBef, wNegBef, wPosBefRes, wNegBefRes;
        // Normal scattering.
        if (normalSys) {
          wPosBef       = beamA[iSys].x() * eCM;
          wNegBef       = beamB[iSys].x() * eCM;
          wPosBefRes    = 0.;
          wNegBefRes    = 0.;
        // Rescattering on side A.
        } else if (normalB) {
          sHatTBef     += event[iA].pT2();
          wPosBef       = event[iA].pPos();
          wNegBef       = event[iA].pNeg() + beamB[iSys].x() * eCM;
          wPosBefRes    = beamA[iSys].pPos();
          wNegBefRes    = beamA[iSys].pNeg();
        // Rescattering on side B.
        } else if (normalA) {
          sHatTBef     += event[iB].pT2();
          wPosBef       = beamA[iSys].x() * eCM + event[iB].pPos();
          wNegBef       = event[iB].pNeg();
          wPosBefRes    = beamB[iSys].pPos();
          wNegBefRes    = beamB[iSys].pNeg();
        // Rescattering on both sides.
        } else {
          sHatTBef     += pow2( event[iA].px() + event[iB].px())
                        + pow2( event[iA].py() + event[iB].py());
          wPosBef       = event[iA].pPos() + event[iB].pPos();
          wNegBef       = event[iA].pNeg() + event[iB].pNeg();
          wPosBefRes    = beamA[iSys].pPos() + beamB[iSys].pPos();
          wNegBefRes    = beamA[iSys].pNeg() + beamB[iSys].pNeg();
        }

        // Rescale outgoing momenta to keep same mass and rapidity of system
        // as originally, and solve for kinematics.
        double rescale  = sqrt(sHatTAft / sHatTBef);
        double wPosAft  = rescale * wPosBef;
        double wNegAft  = rescale * wNegBef;
        wPosRem        -= wPosAft - wPosBefRes;
        wNegRem        -= wNegAft - wNegBefRes;
        double wPosA    = 0.5 * (sHatTAft + w2A - w2B + lamRoot) / wNegAft;
        double wNegB    = 0.5 * (sHatTAft + w2B - w2A + lamRoot) / wPosAft;
  
        // Store modified beam parton momenta.
        beamA[iSys].e(  0.5 * (wPosA + w2A / wPosA) );
        beamA[iSys].pz( 0.5 * (wPosA - w2A / wPosA) );
        beamB[iSys].e(  0.5 * (w2B / wNegB + wNegB) );
        beamB[iSys].pz( 0.5 * (w2B / wNegB - wNegB) );

      // Second option keeps rescattered parton (and system mass) unchanged
      // by primordial kT, by modification of system rapidity.
      } else {

        // Rescattering on side A: preserve already scattered parton.
        if (normalB) {
          double wPosA  = beamA[iSys].pPos();
          double wNegB  = 0.5 * (w2Diff + lamRoot) / wPosA;
          beamB[iSys].e(  0.5 * (w2B / wNegB + wNegB) );
          beamB[iSys].pz( 0.5 * (w2B / wNegB - wNegB) );
          wPosRem      -= w2B / wNegB;
          wNegRem      -= wNegB;
     

        // Rescattering on side B: preserve already scattered parton.
        } else if (normalA) {
          double wNegB  = beamB[iSys].pNeg();
          double wPosA  = 0.5 * (w2Diff + lamRoot) / wNegB;
          beamA[iSys].e(  0.5 * (wPosA + w2A / wPosA) );
          beamA[iSys].pz( 0.5 * (wPosA - w2A / wPosA) );
          wPosRem      -= wPosA;
          wNegRem      -= w2A / wPosA;

        // Primordial kT in double rescattering does change the mass of
        // the system without any possible fix in this framework, which
        // leads to incorrect boosts. Current choice is therefore always
        // to handle it with the first procedure, where mass is retained.
        } else {
        }
      }

      // Construct system rotation and boost caused by primordial kT.
      Msys[iSys].reset();
      Msys[iSys].toCMframe( event[iA].p(), event[iB].p() );
      Msys[iSys].fromCMframe( beamA[iSys].p(), beamB[iSys].p() );

      // Boost rescattered partons in subsequent beam A list.
      for (int iSys2 = iSys + 1; iSys2 < nSys; ++iSys2) {
        if (!beamA[iSys2].isFromBeam()) {
          int iBefResc = event[ beamA[iSys2].iPos() ].mother1();
          for (int iMem = 0; iMem < partonSystemsPtr->sizeOut(iSys); ++iMem)
          if (partonSystemsPtr->getOut(iSys, iMem) == iBefResc) {
            Vec4 pTemp = event[iBefResc].p();
            pTemp.rotbst( Msys[iSys] );
            beamA[iSys2].p( pTemp );
          }
        }

        // Boost rescattered partons in subsequent beam B list.
        if (!beamB[iSys2].isFromBeam()) {
          int iBefResc = event[ beamB[iSys2].iPos() ].mother1();
          for (int iMem = 0; iMem < partonSystemsPtr->sizeOut(iSys); ++iMem)
          if (partonSystemsPtr->getOut(iSys, iMem) == iBefResc) {
            Vec4 pTemp = event[iBefResc].p();
            pTemp.rotbst( Msys[iSys] );
            beamB[iSys2].p( pTemp );
          }
        }
      }
    }

    // Check that remaining momentum is enough for remnants.
    if (wPosRem < 0. || wNegRem < 0.) physical = false;
    w2Rem = wPosRem * wNegRem;
    if (sqrtpos(w2Rem) < sqrt(w2Beam[0]) + sqrt(w2Beam[1]))
      physical = false;

    // End of loop over ten tries. Do not loop when solution found.
    if (physical) break;
  }

  // If no solution after ten tries then failed.
  if (!physical) {
    infoPtr->errorMsg("Error in BeamRemnants::setKinematics:"
      " kinematics construction failed");
    return false;
  }

  // For successful initiator kinematics process whole systems.
  Vec4 pSumOut;
  for (int iSys = 0; iSys < nSys; ++iSys) {

    // Copy initiators and their systems and boost them accordingly.
    // Update subsystem and beams info on new positions of partons.
    // Update daughter info of mothers, i.e. of beams, for hardest interaction.
    if (beamA[iSys].isFromBeam()) {
      int iA       = beamA[iSys].iPos();
      int iAcopy   = event.copy(iA, -61);
      event[iAcopy].rotbst(Msys[iSys]);
      partonSystemsPtr->setInA(iSys, iAcopy);
      beamA[iSys].iPos( iAcopy);
      if (iSys == 0) {
        int mother = event[iAcopy].mother1();
        event[mother].daughter1(iAcopy);
      }
    }
    if (beamB[iSys].isFromBeam()) {
      int iB       = beamB[iSys].iPos();
      int iBcopy   = event.copy(iB, -61);
      event[iBcopy].rotbst(Msys[iSys]);
      partonSystemsPtr->setInB(iSys, iBcopy);
      beamB[iSys].iPos( iBcopy);
      if (iSys == 0) {
        int mother = event[iBcopy].mother1();
        event[mother].daughter1(iBcopy);
      }
    }

    for (int iMem = 0; iMem < partonSystemsPtr->sizeOut(iSys); ++iMem) {
      int iAB      = partonSystemsPtr->getOut(iSys, iMem);
      if (event[iAB].isFinal()) {
        int iABcopy = event.copy(iAB, 62);
        event[iABcopy].rotbst(Msys[iSys]);
        partonSystemsPtr->setOut(iSys, iMem, iABcopy);
        pSumOut   += event[iABcopy].p();
      }
    }

  }

  // Colour dipoles spanning systems gives mismatch between FSR recoils
  // and primordial kT boosts.
  if (allowRescatter && CORRECTMISMATCH) {

    // Find summed pT of beam remnants = - wanted pT of systems.
    double pxBeams = 0.;
    double pyBeams = 0.;
    for (int iRem = nSys; iRem < beamA.size(); ++iRem) {
      pxBeams     += beamA[iRem].px();
      pyBeams     += beamA[iRem].py();
    }
    for (int iRem = nSys; iRem < beamB.size(); ++iRem) {
      pxBeams     += beamB[iRem].px();
      pyBeams     += beamB[iRem].py();
    }

    // Boost all final partons in systems transversely, and also their sum.
    Vec4 pSumTo( -pxBeams, -pyBeams, pSumOut.pz(), sqrt( pow2(pxBeams)
      + pow2(pyBeams) + pow2(pSumOut.pz()) + pSumOut.m2Calc() ) );
    RotBstMatrix Mmismatch;
    Mmismatch.bst( pSumOut, pSumTo);
    for (int iSys = 0; iSys < nSys; ++iSys)
    for (int iMem = 0; iMem < partonSystemsPtr->sizeOut(iSys); ++iMem) {
      int iAB = partonSystemsPtr->getOut(iSys, iMem);
      if (event[iAB].isFinal()) event[iAB].rotbst(Mmismatch);
    }
    pSumOut.rotbst(Mmismatch);

   // Reset energy and momentum sum, to be compensated by beam remnants.
    wPosRem = eCM - (pSumOut.e() + pSumOut.pz());
    wNegRem = eCM - (pSumOut.e() - pSumOut.pz());
    w2Rem    = wPosRem * wNegRem;
    if ( wPosRem < 0. || wNegRem < 0.
      || sqrtpos(w2Rem) < sqrt(w2Beam[0]) + sqrt(w2Beam[1])) {
      infoPtr->errorMsg("Error in BeamRemnants::setKinematics:"
        " kinematics construction failed owing to recoil mismatch");
      return false;
    }
  }

  // Construct x rescaling factors for the two remants.
  double lambdaRoot = sqrtpos( pow2(w2Rem - w2Beam[0] - w2Beam[1])
    - 4. * w2Beam[0] * w2Beam[1] );
  double rescaleA   = (w2Rem + w2Beam[0] - w2Beam[1] + lambdaRoot)
    / (2. * w2Rem * xSum[0]) ;
  double rescaleB   = (w2Rem + w2Beam[1] - w2Beam[0] + lambdaRoot)
    / (2. * w2Rem * xSum[1]) ;

  // Construct energy and pz for remnants in first beam.
  for (int iRem = nSys; iRem < beamA.size(); ++iRem) {
    double pPos = rescaleA * beamA[iRem].x() * wPosRem;
    double pNeg = beamA[iRem].mT2() / pPos;
    beamA[iRem].e( 0.5 * (pPos + pNeg) );
    beamA[iRem].pz( 0.5 * (pPos - pNeg) );

    // Add these partons to the normal event record.
    int iNew = event.append( beamA[iRem].id(), 63, 1 + nOffset, 0, 0, 0,
      beamA[iRem].col(), beamA[iRem].acol(), beamA[iRem].p(),
      beamA[iRem].m() );
    beamA[iRem].iPos( iNew);
  }

  // Construct energy and pz for remnants in second beam.
  for (int iRem = nSys; iRem < beamB.size(); ++iRem) {
    double pNeg = rescaleB * beamB[iRem].x() * wNegRem;
    double pPos = beamB[iRem].mT2() / pNeg;
    beamB[iRem].e( 0.5 * (pPos + pNeg) );
    beamB[iRem].pz( 0.5 * (pPos - pNeg) );

    // Add these partons to the normal event record.
    int iNew = event.append( beamB[iRem].id(), 63, 2 + nOffset, 0, 0, 0,
      beamB[iRem].col(), beamB[iRem].acol(), beamB[iRem].p(),
      beamB[iRem].m() );
    beamB[iRem].iPos( iNew);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Allow colour reconnections by mergings of collision subsystems.
// iRec is system that may be reconnected, by moving its gluons to iSys,
// where minimal pT (or equivalently Lambda) is used to pick location.
// Therefore all dipoles in iSys have to be found, and all gluons in iRec.
// Matching q-qbar pairs are treated by analogy with gluons.
// Note: owing to rescatterings some outgoing partons must be skipped.

bool BeamRemnants::reconnectColours( Event&  event) {

  // References to beams to simplify indexing.
  BeamParticle& beamA = *beamAPtr;
  BeamParticle& beamB = *beamBPtr;

  // Prepare record of which systems should be merged onto another.
  // The iSys system must have colour in final state to attach to it.
  vector  iMerge(nSys);
  vector hasColour(nSys);
  for (int iSys = 0; iSys < nSys; ++iSys) {
    iMerge[iSys] = iSys;
    bool hasCol = false;
    for (int iMem = 0; iMem < partonSystemsPtr->sizeOut(iSys); ++iMem) {
      int iNow = partonSystemsPtr->getOut( iSys, iMem);
      if (event[iNow].isFinal() && (event[iNow].col() > 0
        || event[iNow].acol() > 0) ) {
        hasCol = true;
        break;
      }
    }
    hasColour[iSys] = hasCol;
  }

  // Loop over systems to decide which should be reconnected.
  for (int iRec = nSys - 1; iRec > 0; --iRec) {

    // Determine reconnection strength from pT scale of system.
    double pT2Rec  = pow2( partonSystemsPtr->getPTHat(iRec) );
    double probRec = pT20Rec / (pT20Rec + pT2Rec);

    // Loop over other systems iSys at higher pT scale and
    // decide whether to reconnect the iRec gluons onto one of them.
    for (int iSys = iRec - 1; iSys >= 0; --iSys)
    if (hasColour[iSys] && probRec > rndmPtr->flat()) {

      // The iRec system and all merged with it to be merged with iSys.
      iMerge[iRec] = iSys;
      for (int iRec2 = iRec + 1; iRec2 < nSys; ++iRec2)
      if (iMerge[iRec2] == iRec) iMerge[iRec2] = iSys;

      // Once a system has been merged do not test it anymore.
      break;
    }
  }

  // Loop over systems. Check whether other systems to be merged with it.
  for (int iSys = 0; iSys < nSys; ++iSys) {
    int nMerge = 0;
    for (int iRec = iSys + 1; iRec < nSys; ++iRec)
    if (iMerge[iRec] == iSys) ++nMerge;
    if (nMerge == 0) continue;

    // Incoming partons not counted if rescattered.
    int  iInASys = partonSystemsPtr->getInA(iSys);
    bool hasInA  = (beamA[iSys].isFromBeam());
    int  iInBSys = partonSystemsPtr->getInB(iSys);
    bool hasInB  = (beamB[iSys].isFromBeam());

    // Begin find dipoles in iSys system.
    vector dipoles;
    int sizeOut = partonSystemsPtr->sizeOut(iSys);
    for (int iMem = 0; iMem < sizeOut; ++iMem) {

      // Find colour dipoles to beam remnant.
      int iNow = partonSystemsPtr->getOut( iSys, iMem);
      if (!event[iNow].isFinal()) continue;
      int col = event[iNow].col();
      if (col > 0) {
        if      (hasInA && event[iInASys].col() == col)
          dipoles.push_back( BeamDipole( col, iNow, iInASys ) );
        else if (hasInB && event[iInBSys].col() == col)
          dipoles.push_back( BeamDipole( col, iNow, iInBSys ) );
 
        // Find colour dipole between final-state partons.
        else for (int iMem2 = 0; iMem2 < sizeOut; ++iMem2)
        if (iMem2 != iMem) {
          int iNow2 = partonSystemsPtr->getOut( iSys, iMem2);
          if (!event[iNow2].isFinal()) continue;
          if (event[iNow2].acol() == col) {
            dipoles.push_back( BeamDipole( col, iNow, iNow2) );
            break;
          }
        }
      }

      // Find anticolour dipoles to beam remnant.
      int acol = event[iNow].acol();
      if (acol > 0) {
        if      (hasInA && event[iInASys].acol() == acol)
          dipoles.push_back( BeamDipole( acol, iInASys, iNow ) );
        else if (hasInB && event[iInBSys].acol() == acol)
          dipoles.push_back( BeamDipole( acol, iInBSys, iNow ) );
      }
    }
   
    // Skip mergings if no dipoles found.
    if (dipoles.size() == 0) continue;

    // Find dipole sizes.
    for (int iDip = 0; iDip < int(dipoles.size()); ++iDip)
      dipoles[iDip].p1p2 = event[dipoles[iDip].iCol].p()
                         * event[dipoles[iDip].iAcol].p();
    
    // Loop over systems iRec to be merged with iSys.
    for (int iRec = iSys + 1; iRec < nSys; ++iRec) {
      if (iMerge[iRec] != iSys) continue;

      // Information on iRec. Vectors for gluons and anything else.
      int sizeRec = partonSystemsPtr->sizeOut(iRec);
      int iInARec = partonSystemsPtr->getInA(iRec);
      int iInBRec = partonSystemsPtr->getInB(iRec);
      int nGluRec = 0;
      vector    iGluRec;
      vector pT2GluRec;
      int nAnyRec = 0;
      vector    iAnyRec;
      vector   freeAnyRec;

      // Copy of gluon positions in descending order.
      for (int iMem = 0; iMem < sizeRec; ++iMem) {
        int iNow = partonSystemsPtr->getOut( iRec, iMem);
        if (!event[iNow].isFinal()) continue;
        if (event[iNow].isGluon()) {
          ++nGluRec;
          iGluRec.push_back( iNow );
          pT2GluRec.push_back( event[iNow].pT2() );
          for (int i = nGluRec - 1; i > 1; --i) {
            if (pT2GluRec[i - 1] > pT2GluRec[i]) break;
            swap(   iGluRec[i - 1],   iGluRec[i] );
            swap( pT2GluRec[i - 1], pT2GluRec[i] );
          }
        // Copy of anything else, mainly quarks, in no particular order.
        } else {
          ++nAnyRec;
          iAnyRec.push_back( iNow );
          freeAnyRec.push_back( true );
        }
      }

      // For each gluon in iRec now find the dipole that gives the smallest
      // (pGlu * pI) (pGlu * pJ) / (pI * pJ), i.e. minimal pT (and Lambda).
      for (int iGRec = 0; iGRec < nGluRec; ++iGRec) {
        int    iGlu      = iGluRec[iGRec];
        Vec4   pGlu      = event[iGlu].p();
        int    iDipMin   = 0;
        double pT2DipMin = sCM;
        for (int iDip = 0; iDip < int(dipoles.size()); ++iDip) {
          double pT2Dip = (pGlu * event[dipoles[iDip].iCol].p())
            * (pGlu * event[dipoles[iDip].iAcol].p()) / dipoles[iDip].p1p2;
          if (pT2Dip < pT2DipMin) {
            iDipMin   = iDip;
            pT2DipMin = pT2Dip;
          }
        }

        // Attach the gluon to the dipole, i.e. split the dipole in two.
        int colGlu   = event[iGlu].col();
        int acolGlu  = event[iGlu].acol();
        int colDip   = dipoles[iDipMin].col;
        int iColDip  = dipoles[iDipMin].iCol;
        int iAcolDip = dipoles[iDipMin].iAcol;
        event[iGlu].acol( colDip );
        if (event[iAcolDip].acol() == colDip)
             event[iAcolDip].acol( colGlu );
        else event[iAcolDip].col(  colGlu );
        dipoles[iDipMin].iAcol = iGlu;
        dipoles[iDipMin].p1p2 = event[iColDip].p() * pGlu;
        dipoles.push_back( BeamDipole( colGlu, iGlu, iAcolDip ) );
        dipoles.back().p1p2 = pGlu * event[iAcolDip].p();
     
        // Remove gluon from old system: reconnect colours.
        for (int i = oldSize; i < event.size(); ++i)
        if (i != iGlu && i != iAcolDip) {
          if (event[i].isFinal()) {
            if (event[i].acol() == colGlu) event[i].acol( acolGlu );
          } else {
              if (event[i].col()  == colGlu) event[i].col( acolGlu );
          }
        }

        // Update any junction legs that match reconnected dipole.
        for (int iJun = 0; iJun < event.sizeJunction(); ++iJun) {

          // Only junctions need to be updated, not antijunctions.
          if (event.kindJunction(iJun) % 2 == 0) continue;
          for (int leg = 0; leg < 3; ++leg) {
            int col = event.colJunction(iJun, leg);
            if (col == colDip)
              event.colJunction(iJun, leg, colGlu);
          }
        }
        
      }

      // See if any matching quark-antiquark pairs among the rest.
      for (int iQRec = 0; iQRec < nAnyRec; ++iQRec) {
        int iQ  = iAnyRec[iQRec];
        int idQ = event[iQ].id();
        if (freeAnyRec[iQRec] && idQ > 0 && idQ < 6)
        for (int iQbarRec = 0; iQbarRec < nAnyRec; ++iQbarRec) {
          int iQbar  = iAnyRec[iQbarRec];
          if (freeAnyRec[iQbarRec] && event[iQbar].id() == -idQ) {

            // Check that these can be traced back to same gluon splitting.
            // For now also avoid qqbar pairs produced in rescatterings.??
            int iTopQ    = event.iTopCopyId(iQ);
            int iTopQbar = event.iTopCopyId(iQbar);
            int iMother  = event[iTopQ].mother1();
            if (event[iTopQbar].mother1() == iMother
              && event[iMother].isGluon() && event[iMother].status() != -34
              && event[iMother + 1].status() != -34 ) {

              // Now find the dipole that gives the smallest
              // ((pQ + pQbar) * pI) ((pQ + pQbar) * pJ) / (pI * pJ).
              Vec4   pGlu      = event[iQ].p() + event[iQbar].p();
              int    iDipMin   = 0;
              double pT2DipMin = sCM;
              for (int iDip = 0; iDip < int(dipoles.size()); ++iDip) {
                double pT2Dip = (pGlu * event[dipoles[iDip].iCol].p())
                  * (pGlu * event[dipoles[iDip].iAcol].p())
                  / dipoles[iDip].p1p2;
                if (pT2Dip < pT2DipMin) {
                  iDipMin   = iDip;
                  pT2DipMin = pT2Dip;
                }
              }

              // Attach the q-qbar pair to the dipole, i.e. split the dipole.
              int colGlu   = event[iQ].col();
              int acolGlu  = event[iQbar].acol();
              int colDip   = dipoles[iDipMin].col;
              int iColDip  = dipoles[iDipMin].iCol;
              int iAcolDip = dipoles[iDipMin].iAcol;
              event[iQbar].acol( colDip );
              if (event[iAcolDip].acol() == colDip)
                   event[iAcolDip].acol( colGlu );
              else event[iAcolDip].col(  colGlu );
              dipoles[iDipMin].iAcol = iQbar;
              dipoles[iDipMin].p1p2 = event[iColDip].p() * event[iQbar].p();
              dipoles.push_back( BeamDipole( colGlu, iQ, iAcolDip ) );
              dipoles.back().p1p2 = event[iQ].p() * event[iAcolDip].p();
     
              // Remove q-qbar pair from old system: reconnect colours.
              freeAnyRec[iQRec]    = false;
              freeAnyRec[iQbarRec] = false;
              for (int i = oldSize; i < event.size(); ++i)
              if (i != iQRec && i != iQbarRec && i != iColDip
                && i != iAcolDip) {
                if (event[i].isFinal()) {
                  if (event[i].acol() == colGlu) event[i].acol( acolGlu );
                } else {
                    if (event[i].col()  == colGlu) event[i].col( acolGlu );
                }
              }
               
              // Update any junction legs that match reconnected dipole.
              for (int iJun = 0; iJun < event.sizeJunction(); ++iJun) {
                
                // Only junctions need to be updated, not antijunctions.
                if (event.kindJunction(iJun) % 2 == 0) continue;
                for (int leg = 0; leg < 3; ++leg) {
                  int col = event.colJunction(iJun, leg);
                  if (col == colDip)
                    event.colJunction(iJun, leg, colGlu);
                }
              }
              
              // Done with processing of q-qbar pairs.
            }
          }
        }
      }

      // If only two beam gluons left of system, set their colour = anticolour.
      // Used by BeamParticle::remnantColours to skip irrelevant gluons.
      if ( event[iInARec].isGluon() && !event[iInARec].isRescatteredIncoming()
        && event[iInBRec].isGluon() && !event[iInBRec].isRescatteredIncoming()
        && event[iInARec].col() == event[iInBRec].acol()
        && event[iInARec].acol() == event[iInBRec].col() ) {
          event[iInARec].acol( event[iInARec].col() );
          event[iInBRec].acol( event[iInBRec].col() );
      }

    // End of loops over iRec and iSys systems.
    }
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Collapse colours and check that they are consistent.

bool BeamRemnants::checkColours( Event& event) {

  // No colours in lepton beams so no need to do anything.
  if (beamAPtr->isLepton() && beamBPtr->isLepton()) return true;

  // Remove ambiguities when one colour collapses two ways.
  // Resolve chains where one colour is mapped to another.
  for (int iCol = 1; iCol < int(colFrom.size()); ++iCol)
  for (int iColRef = 0; iColRef < iCol; ++iColRef) {
    if (colFrom[iCol] == colFrom[iColRef]) {
      colFrom[iCol] = colTo[iCol];
      colTo[iCol] = colTo[iColRef];
    }
    if (colTo[iCol] == colFrom[iColRef]) colTo[iCol] = colTo[iColRef];
  }
  
  // Transform event record colours from beam remnant colour collapses.
  for (int i = oldSize; i < event.size(); ++i) {
    int col = event[i].col();
    int acol = event[i].acol();
    for (int iCol = 0; iCol < int(colFrom.size()); ++iCol) {
      if (col == colFrom[iCol]) {col = colTo[iCol]; event[i].col(col);}
      if (acol == colFrom[iCol]) {acol = colTo[iCol]; event[i].acol(acol);}
    }
  }

  // Transform junction colours from beam remnant colour collapses.
  for (int iJun = 0; iJun < event.sizeJunction(); ++iJun)
    for (int leg = 0; leg < 3; ++leg) {
      int col = event.colJunction(iJun, leg);
      for (int iCol = 0; iCol < int(colFrom.size()); ++iCol) {
        if (col == colFrom[iCol]) {
          col = colTo[iCol];
          event.colJunction(iJun, leg, col);
        }
      }
    }
  
  // Arrays for current colours and anticolours, and for singlet gluons.
  vector colList;
  vector acolList;
  vector iSingletGluon;

  // Find current colours and anticolours in the event record.
  for (int i = oldSize; i < event.size(); ++i)
  if (event[i].isFinal()) {
    int id   = event[i].id();
    int col  = event[i].col();
    int acol = event[i].acol();
    int colType = event[i].colType();

    // Quarks must have colour set, antiquarks anticolour, gluons both.
    if ( (id > 0 && id < 9 && (col <= 0 || acol != 0) )
      || (id < 0 && id > -9 && (col != 0 || acol <= 0) )
      || (id == 21 && (col <= 0 || acol <= 0) ) ) {
      infoPtr->errorMsg("Error in BeamRemnants::checkColours: "
        "q/qbar/g has wrong colour slots set");
      return false;
    }

    // Sextets must have one positive and one negative tag
    if ( (colType == 3 && (col <= 0 || acol >= 0))
         || (colType == -3 && (col >= 0 || acol <= 0)) ) {
      infoPtr->errorMsg("Error in BeamRemnants::checkColours: "
                        "sextet has wrong colours");
    }

    // Save colours/anticolours, and position of colour singlet gluons.
    if ( col > 0)  colList.push_back(  col );
    if (acol > 0) acolList.push_back( acol );
    if (col > 0 && acol == col) iSingletGluon.push_back(i);
    // Colour sextets
    if ( col < 0) acolList.push_back( -col );
    if (acol < 0) colList.push_back( -acol );
  }

  // Run though list of singlet gluons and put them on final-state dipole
  // (i,j) that offers smallest (p_g p_i) * (p_g p_j) / (p_i p_j).
  for (int iS = 0; iS < int(iSingletGluon.size()); ++iS) {
    int    iGlu      = iSingletGluon[iS];
    int    iAcolDip  = -1;
    double pT2DipMin = sCM;
    for (int iC = oldSize; iC < event.size(); ++iC)
      if (iC != iGlu && event[iC].isFinal()) {
      int colDip = event[iC].col();
      if (colDip > 0 && event[iC].acol() !=colDip)
      for (int iA = oldSize; iA < event.size(); ++iA)
        if (iA != iGlu && iA != iC && event[iA].isFinal()
        && event[iA].acol() == colDip && event[iA].col() !=colDip) {
        double pT2Dip = (event[iGlu].p() * event[iC].p())
          * (event[iGlu].p() * event[iA].p())
          / (event[iC].p() * event[iA].p());
        if (pT2Dip < pT2DipMin) {
          iAcolDip  = iA;
          pT2DipMin = pT2Dip;
        }
      }
    }

    // Fail if no dipole. Else insert singlet gluon onto relevant dipole.
    if (iAcolDip == -1)  return false;
    event[iGlu].acol( event[iAcolDip].acol() );
    event[iAcolDip].acol( event[iGlu].col() );

    // Update any junction legs that match reconnected dipole.
    for (int iJun = 0; iJun < event.sizeJunction(); ++iJun) {
      
      // Only junctions need to be updated, not antijunctions.
      if (event.kindJunction(iJun) % 2 == 0) continue;
      for (int leg = 0; leg < 3; ++leg) {
        int col = event.colJunction(iJun, leg);
        if (col == event[iGlu].acol())
          event.colJunction(iJun, leg, event[iGlu].col());
      }
    }
    
  }

  // Check that not the same colour or anticolour appears twice.
  for (int iCol = 0; iCol < int(colList.size()) - 1; ++iCol) {
    int col = colList[iCol];
    for (int iCol2 = iCol + 1; iCol2 < int(colList.size()); ++iCol2)
    if (colList[iCol2] == col) {
      infoPtr->errorMsg("Warning in BeamRemnants::checkColours:"
        " colour appears twice");
      if (!ALLOWCOLOURTWICE) return false;
    }
  }
  for (int iAcol = 0; iAcol < int(acolList.size()) - 1; ++iAcol) {
    int acol = acolList[iAcol];
    for (int iAcol2 = iAcol + 1; iAcol2 < int(acolList.size()); ++iAcol2)
    if (acolList[iAcol2] == acol) {
      infoPtr->errorMsg("Warning in BeamRemnants::checkColours:"
        " anticolour appears twice");
      if (!ALLOWCOLOURTWICE) return false;
    }
  }

  // Remove all matching colour-anticolour pairs.
  bool foundPair = true;
  while (foundPair && colList.size() > 0 && acolList.size() > 0) {
    foundPair = false;
    for (int iCol = 0; iCol < int(colList.size()); ++iCol) {
      for (int iAcol = 0; iAcol < int(acolList.size()); ++iAcol) {
        if (acolList[iAcol] == colList[iCol]) {
          colList[iCol] = colList.back(); colList.pop_back();
          acolList[iAcol] = acolList.back(); acolList.pop_back();
          foundPair = true;
          break;
        }
      }
      if (foundPair) break;
    }
  }

  // Check that remaining (anti)colours are accounted for by junctions.
  for (int iJun = 0; iJun < event.sizeJunction(); ++iJun) {
    int kindJun = event.kindJunction(iJun);
    for (int leg = 0; leg < 3; ++leg) {
      int colEnd = event.colJunction(iJun, leg);

      // Junction connected to three colours.
      if (kindJun == 1) {
        for (int iCol = 0; iCol < int(colList.size()); ++iCol)
        if (colList[iCol] == colEnd) {
          // Found colour match: remove and exit.
          colList[iCol] = colList.back();
          colList.pop_back();
          break;
        }
      }

      // Junction connected to three anticolours.
      else if (kindJun == 2) {
        for (int iAcol = 0; iAcol < int(acolList.size()); ++iAcol)
        if (acolList[iAcol] == colEnd) {
          // Found colour match: remove and exit.
          acolList[iAcol] = acolList.back();
          acolList.pop_back();
          break;
        }
      }

      // Other junction types
      else if ( kindJun == 3 || kindJun == 5) {
        for (int iCol = 0; iCol < int(colList.size()); ++iCol)
        if (colList[iCol] == colEnd) {
          // Found colour match: remove and exit.
          colList[iCol] = colList.back();
          colList.pop_back();
          break;
        }
      }

      // Other antijunction types
      else if ( kindJun == 4 || kindJun == 6) {
        for (int iAcol = 0; iAcol < int(acolList.size()); ++iAcol)
        if (acolList[iAcol] == colEnd) {
          // Found colour match: remove and exit.
          acolList[iAcol] = acolList.back();
          acolList.pop_back();
          break;
        }
      }

      // End junction check.
    }
  }


  // Repair step - sometimes needed when rescattering allowed.
  if (colList.size() > 0 || acolList.size() > 0) {
    infoPtr->errorMsg("Warning in BeamRemnants::checkColours:"
                      " need to repair unmatched colours");
  }
  while (colList.size() > 0 && acolList.size() > 0) {

    // Replace one colour and one anticolour index by a new common one.
    int  colMatch =  colList.back();
    int acolMatch = acolList.back();
    int  colNew   = event.nextColTag();
    colList.pop_back();
    acolList.pop_back();
    for (int i = oldSize; i < event.size(); ++i)
    if (event[i].isFinal() && event[i].col() == colMatch) {
      event[i].col( colNew);
      break;
    }
    for (int i = oldSize; i < event.size(); ++i)
    if (event[i].isFinal() && event[i].acol() == acolMatch) {
      event[i].acol( colNew);
      break;
    }
  }

  // Done.
  return (colList.size() == 0 && acolList.size() == 0);

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/BoseEinstein.cc0000644000175000017500000002433612357054760016045 0ustar  sunsun// BoseEinstein.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the BoseEinsten class.

#include "Pythia8/BoseEinstein.h"

namespace Pythia8 {

//==========================================================================

// The BoseEinstein class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Enumeration of id codes and table for particle species considered.
const int    BoseEinstein::IDHADRON[9] = { 211, -211, 111, 321, -321,
                                           130,  310, 221, 331 };
const int    BoseEinstein::ITABLE[9] = { 0, 0, 0, 1, 1, 1, 1, 2, 3 };

// Distance between table entries, normalized to min( 2*mass, QRef).
const double BoseEinstein::STEPSIZE  = 0.05;

// Skip shift for two extremely close particles, to avoid instabilities.
const double BoseEinstein::Q2MIN     = 1e-8;

// Parameters of energy compensation procedure: maximally allowed
// relative energy error, iterative stepsize, and number of iterations.
const double BoseEinstein::COMPRELERR = 1e-10;
const double BoseEinstein::COMPFACMAX = 1000.;
const int    BoseEinstein::NCOMPSTEP  = 10;

//--------------------------------------------------------------------------

// Find settings. Precalculate table used to find momentum shifts.

bool BoseEinstein::init(Info* infoPtrIn, Settings& settings,
  ParticleData& particleData) {

  // Save pointer.
  infoPtr         = infoPtrIn;

  // Main flags.
  doPion   = settings.flag("BoseEinstein:Pion");
  doKaon   = settings.flag("BoseEinstein:Kaon");
  doEta    = settings.flag("BoseEinstein:Eta");

  // Shape of Bose-Einstein enhancement/suppression.
  lambda   = settings.parm("BoseEinstein:lambda");
  QRef     = settings.parm("BoseEinstein:QRef");

  // Multiples and inverses (= "radii") of distance parameters in Q-space.
  QRef2    = 2. * QRef;
  QRef3    = 3. * QRef;
  R2Ref    = 1. / (QRef * QRef);
  R2Ref2   = 1. / (QRef2 * QRef2);
  R2Ref3   = 1. / (QRef3 * QRef3);

  // Masses of particles with Bose-Einstein implemented.
  for (int iSpecies = 0; iSpecies < 9; ++iSpecies)
    mHadron[iSpecies] = particleData.m0( IDHADRON[iSpecies] );

  // Pair pi, K, eta and eta' masses for use in tables.
  mPair[0] = 2. * mHadron[0];
  mPair[1] = 2. * mHadron[3];
  mPair[2] = 2. * mHadron[7];
  mPair[3] = 2. * mHadron[8];
  
  // Loop over the four required tables. Local variables.
  double Qnow, Q2now, centerCorr;
  for (int iTab = 0; iTab < 4; ++iTab) {
    m2Pair[iTab]      = mPair[iTab] * mPair[iTab];
    
    // Step size and number of steps in normal table.
    deltaQ[iTab]      = STEPSIZE * min(mPair[iTab], QRef);
    nStep[iTab]       = min( 199, 1 + int(3. * QRef / deltaQ[iTab]) );
    maxQ[iTab]        = (nStep[iTab] - 0.1) * deltaQ[iTab];
    centerCorr        = deltaQ[iTab] * deltaQ[iTab] / 12.;

    // Construct normal table recursively in Q space.
    shift[iTab][0]    = 0.;
    for (int i = 1; i <= nStep[iTab]; ++i) {
      Qnow            = deltaQ[iTab] * (i - 0.5);
      Q2now           = Qnow * Qnow;
      shift[iTab][i]  = shift[iTab][i - 1] + exp(-Q2now * R2Ref)
        * deltaQ[iTab] * (Q2now + centerCorr) / sqrt(Q2now + m2Pair[iTab]);
    }

    // Step size and number of steps in compensation table.
    deltaQ3[iTab]     = STEPSIZE * min(mPair[iTab], QRef3);
    nStep3[iTab]      = min( 199, 1 + int(9. * QRef / deltaQ3[iTab]) );
    maxQ3[iTab]       = (nStep3[iTab] - 0.1) * deltaQ3[iTab];
    centerCorr        = deltaQ3[iTab] * deltaQ3[iTab] / 12.;

    // Construct compensation table recursively in Q space.
    shift3[iTab][0]   = 0.;
    for (int i = 1; i <= nStep3[iTab]; ++i) {
      Qnow            = deltaQ3[iTab] * (i - 0.5);
      Q2now           = Qnow * Qnow;
      shift3[iTab][i] = shift3[iTab][i - 1] + exp(-Q2now * R2Ref3)
        * deltaQ3[iTab] * (Q2now + centerCorr) / sqrt(Q2now + m2Pair[iTab]);
    }

  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Perform Bose-Einstein corrections on an event.

bool BoseEinstein::shiftEvent( Event& event) {

  // Reset list of identical particles.
  hadronBE.resize(0);

  // Loop over all hadron species with BE effects.
  nStored[0] = 0;
  for (int iSpecies = 0; iSpecies < 9; ++iSpecies) {
    nStored[iSpecies + 1] = nStored[iSpecies];
    if (!doPion && iSpecies <= 2) continue;
    if (!doKaon && iSpecies >= 3 && iSpecies <= 6) continue;
    if (!doEta  && iSpecies >= 7) continue;
   
    // Properties of current hadron species.
    int idNow = IDHADRON[ iSpecies ];
    int iTab  = ITABLE[ iSpecies ];
   
    // Loop through event record to store copies of current species.
    for (int i = 0; i < event.size(); ++i)
      if ( event[i].id() == idNow && event[i].isFinal() )
        hadronBE.push_back(
          BoseEinsteinHadron( idNow, i, event[i].p(), event[i].m() ) );
    nStored[iSpecies + 1] = hadronBE.size();

    // Loop through pairs of identical particles and find shifts.
    for (int i1 = nStored[iSpecies]; i1 < nStored[iSpecies+1] - 1; ++i1)
    for (int i2 = i1 + 1; i2 < nStored[iSpecies+1]; ++i2)
      shiftPair( i1, i2, iTab);
  }

  // Must have at least two pairs to carry out compensation.
  if (nStored[9] < 2) return true;

  // Shift momenta and recalculate energies.
  double eSumOriginal = 0.;
  double eSumShifted  = 0.;
  double eDiffByComp  = 0.;
  for (int i = 0; i < nStored[9]; ++i) {
    eSumOriginal  += hadronBE[i].p.e();
    hadronBE[i].p += hadronBE[i].pShift;
    hadronBE[i].p.e( sqrt( hadronBE[i].p.pAbs2() + hadronBE[i].m2 ) );
    eSumShifted   += hadronBE[i].p.e();
    eDiffByComp   += dot3( hadronBE[i].pComp, hadronBE[i].p)
                     / hadronBE[i].p.e();
  }

  // Iterate compensation shift until convergence.
  int iStep = 0;
  while ( abs(eSumShifted - eSumOriginal) > COMPRELERR * eSumOriginal
    && abs(eSumShifted - eSumOriginal) < COMPFACMAX * abs(eDiffByComp)
    && iStep < NCOMPSTEP ) {
    ++iStep;
    double compFac   = (eSumOriginal - eSumShifted) / eDiffByComp;
    eSumShifted      = 0.;
    eDiffByComp      = 0.;
    for (int i = 0; i < nStored[9]; ++i) {
      hadronBE[i].p += compFac * hadronBE[i].pComp;
      hadronBE[i].p.e( sqrt( hadronBE[i].p.pAbs2() + hadronBE[i].m2 ) );
      eSumShifted   += hadronBE[i].p.e();
      eDiffByComp   += dot3( hadronBE[i].pComp, hadronBE[i].p)
                       / hadronBE[i].p.e();
    }
  }

  // Error if no convergence, and then return without doing BE shift.
  // However, not grave enough to kill event, so return true.
  if ( abs(eSumShifted - eSumOriginal) > COMPRELERR * eSumOriginal ) {
    infoPtr->errorMsg("Warning in BoseEinstein::shiftEvent: "
      "no consistent BE shift topology found, so skip BE");
    return true;
  }
    
  // Store new particle copies with shifted momenta.
  for (int i = 0; i < nStored[9]; ++i) {
    int iNew = event.copy( hadronBE[i].iPos, 99);
    event[ iNew ].p( hadronBE[i].p );
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Calculate shift and (unnormalized) compensation for pair.

void BoseEinstein::shiftPair( int i1, int i2, int iTab) {

  // Calculate old relative momentum.
  double Q2old = m2(hadronBE[i1].p, hadronBE[i2].p) - m2Pair[iTab];
  if (Q2old < Q2MIN) return;
  double Qold  = sqrt(Q2old);
  double psFac = sqrt(Q2old + m2Pair[iTab]) / Q2old;
     
  // Calculate new relative momentum for normal shift.
  double Qmove = 0.;
  if (Qold < deltaQ[iTab]) Qmove = Qold / 3.;
  else if (Qold < maxQ[iTab]) {
    double realQbin = Qold / deltaQ[iTab];
    int    intQbin  = int( realQbin );
    double inter    = (pow3(realQbin) - pow3(intQbin))
      / (3 * intQbin * (intQbin + 1) + 1);
    Qmove = ( shift[iTab][intQbin] + inter * (shift[iTab][intQbin + 1]
      - shift[iTab][intQbin]) ) * psFac;
  }
  else Qmove = shift[iTab][nStep[iTab]] * psFac;
  double Q2new = Q2old * pow( Qold / (Qold + 3. * lambda * Qmove), 2. / 3.);

  // Calculate corresponding three-momentum shift.
  double Q2Diff    = Q2new - Q2old;
  double p2DiffAbs = (hadronBE[i1].p - hadronBE[i2].p).pAbs2();
  double p2AbsDiff = hadronBE[i1].p.pAbs2() - hadronBE[i2].p.pAbs2();
  double eSum      = hadronBE[i1].p.e() + hadronBE[i2].p.e();
  double eDiff     = hadronBE[i1].p.e() - hadronBE[i2].p.e();
  double sumQ2E    = Q2Diff + eSum * eSum;
  double rootA     = eSum * eDiff * p2AbsDiff - p2DiffAbs * sumQ2E;
  double rootB     = p2DiffAbs * sumQ2E - p2AbsDiff * p2AbsDiff;
  double factor    = 0.5 * ( rootA + sqrtpos(rootA * rootA
    + Q2Diff * (sumQ2E - eDiff * eDiff) * rootB) ) / rootB;

  // Add shifts to sum. (Energy component dummy.)
  Vec4   pDiff     = factor * (hadronBE[i1].p - hadronBE[i2].p);
  hadronBE[i1].pShift += pDiff;
  hadronBE[i2].pShift -= pDiff;

  // Calculate new relative momentum for compensation shift.
  double Qmove3 = 0.;
  if (Qold < deltaQ3[iTab]) Qmove3 = Qold / 3.;
  else if (Qold < maxQ3[iTab]) {
    double realQbin = Qold / deltaQ3[iTab];
    int    intQbin  = int( realQbin );
    double inter    = (pow3(realQbin) - pow3(intQbin))
      / (3 * intQbin * (intQbin + 1) + 1);
    Qmove3 = ( shift3[iTab][intQbin] + inter * (shift3[iTab][intQbin + 1]
      - shift3[iTab][intQbin]) ) * psFac;
  }
  else Qmove3 = shift3[iTab][nStep3[iTab]] *psFac;
  double Q2new3 = Q2old * pow( Qold / (Qold + 3. * lambda * Qmove3), 2. / 3.);

  // Calculate corresponding three-momentum shift.
  Q2Diff    = Q2new3 - Q2old;
  sumQ2E    = Q2Diff + eSum * eSum;
  rootA     = eSum * eDiff * p2AbsDiff - p2DiffAbs * sumQ2E;
  rootB     = p2DiffAbs * sumQ2E - p2AbsDiff * p2AbsDiff;
  factor    = 0.5 * ( rootA + sqrtpos(rootA * rootA
    + Q2Diff * (sumQ2E - eDiff * eDiff) * rootB) ) / rootB;

  // Extra dampening factor to go from BE_3 to BE_32.
  factor   *= 1. - exp(-Q2old * R2Ref2);

  // Add shifts to sum. (Energy component dummy.)
  pDiff     = factor * (hadronBE[i1].p - hadronBE[i2].p);
  hadronBE[i1].pComp += pDiff;
  hadronBE[i2].pComp -= pDiff;

}

//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/HadronLevel.cc0000644000175000017500000011261712357054761015662 0ustar  sunsun// HadronLevel.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the HadronLevel class.

#include "Pythia8/HadronLevel.h"

namespace Pythia8 {

//==========================================================================

// The HadronLevel class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// For breaking J-J string, pick a Gamma by taking a step with fictitious mass.
const double HadronLevel::JJSTRINGM2MAX  = 25.;
const double HadronLevel::JJSTRINGM2FRAC = 0.1;

// Iterate junction rest frame boost until convergence or too many tries.
const double HadronLevel::CONVJNREST     = 1e-5;
const int HadronLevel::NTRYJNREST        = 20;

// Typical average transvere primary hadron mass .
const double HadronLevel::MTHAD          = 0.9;

//--------------------------------------------------------------------------

// Find settings. Initialize HadronLevel classes as required.

bool HadronLevel::init(Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
  Couplings* couplingsPtrIn, TimeShower* timesDecPtr,
  RHadrons* rHadronsPtrIn, DecayHandler* decayHandlePtr,
  vector handledParticles) {

  // Save pointers.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  couplingsPtr    = couplingsPtrIn;
  rHadronsPtr     = rHadronsPtrIn;

  // Main flags.
  doHadronize     = settings.flag("HadronLevel:Hadronize");
  doDecay         = settings.flag("HadronLevel:Decay");
  doBoseEinstein  = settings.flag("HadronLevel:BoseEinstein");

  // Boundary mass between string and ministring handling.
  mStringMin      = settings.parm("HadronLevel:mStringMin");

  // For junction processing.
  eNormJunction   = settings.parm("StringFragmentation:eNormJunction");

  // Allow R-hadron formation.
  allowRH         = settings.flag("RHadrons:allow");

  // Particles that should decay or not before Bose-Einstein stage.
  widthSepBE      = settings.parm("BoseEinstein:widthSep");

  // Hadron scattering --rjc
  doHadronScatter = settings.flag("HadronScatter:scatter");
  hsAfterDecay    = settings.flag("HadronScatter:afterDecay");

  // Initialize auxiliary fragmentation classes.
  flavSel.init(settings, rndmPtr);
  pTSel.init(settings, *particleDataPtr, rndmPtr);
  zSel.init(settings, *particleDataPtr, rndmPtr);

  // Initialize auxiliary administrative class.
  colConfig.init(infoPtr, settings, &flavSel);

  // Initialize string and ministring fragmentation.
  stringFrag.init(infoPtr, settings, particleDataPtr, rndmPtr,
    &flavSel, &pTSel, &zSel);
  ministringFrag.init(infoPtr, settings, particleDataPtr, rndmPtr,
    &flavSel, &pTSel, &zSel);
 
  // Initialize particle decays.
  decays.init(infoPtr, settings, particleDataPtr, rndmPtr, couplingsPtr,
    timesDecPtr, &flavSel, decayHandlePtr, handledParticles);

  // Initialize BoseEinstein.
  boseEinstein.init(infoPtr, settings, *particleDataPtr);

  // Initialize HadronScatter --rjc
  if (doHadronScatter)
    hadronScatter.init(infoPtr, settings, rndmPtr, particleDataPtr);

  // Initialize Hidden-Valley fragmentation, if necessary.
  useHiddenValley = hiddenvalleyFrag.init(infoPtr, settings,
    particleDataPtr, rndmPtr);

  // Send flavour and z selection pointers to R-hadron machinery.
  rHadronsPtr->fragPtrs( &flavSel, &zSel);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Hadronize and decay the next parton-level.

bool HadronLevel::next( Event& event) {

  // Do Hidden-Valley fragmentation, if necessary.
  if (useHiddenValley) hiddenvalleyFrag.fragment(event);

  // Colour-octet onia states must be decayed to singlet + gluon.
  if (!decayOctetOnia(event)) return false;

  // Possibility of hadronization inside decay, but then no BE second time.
  // Hadron scattering, first pass only --rjc
  bool moreToDo, firstPass = true;
  bool doBoseEinsteinNow = doBoseEinstein;
  do {
    moreToDo = false;

    // First part: string fragmentation.
    if (doHadronize) {

      // Find the complete colour singlet configuration of the event.
      if (!findSinglets( event)) return false;

      // Fragment off R-hadrons, if necessary.
      if (allowRH && !rHadronsPtr->produce( colConfig, event))
        return false;

      // Process all colour singlet (sub)systems.
      for (int iSub = 0; iSub < colConfig.size(); ++iSub) {

        // Collect sequentially all partons in a colour singlet subsystem.
        colConfig.collect(iSub, event);

        // String fragmentation of each colour singlet (sub)system.
        if ( colConfig[iSub].massExcess > mStringMin ) {
          if (!stringFrag.fragment( iSub, colConfig, event)) return false;

        // Low-mass string treated separately. Tell if diffractive system.
        } else {
          bool isDiff = infoPtr->isDiffractiveA()
            || infoPtr->isDiffractiveB();
          if (!ministringFrag.fragment( iSub, colConfig, event, isDiff))
            return false;
        }
      }
    }

    // Hadron scattering --rjc
    if (doHadronScatter && !hsAfterDecay && firstPass)
      hadronScatter.scatter(event);

    // Second part: sequential decays of short-lived particles (incl. K0).
    if (doDecay) {
    
      // Loop through all entries to find those that should decay.
      int iDec = 0;
      do {
        Particle& decayer = event[iDec];
        if ( decayer.isFinal() && decayer.canDecay() && decayer.mayDecay()
          && (decayer.mWidth() > widthSepBE || decayer.idAbs() == 311) ) {
          decays.decay( iDec, event);
          if (decays.moreToDo()) moreToDo = true;
        }
      } while (++iDec < event.size());
    }

    // Hadron scattering --rjc
    if (doHadronScatter && hsAfterDecay && firstPass)
      hadronScatter.scatter(event);

    // Third part: include Bose-Einstein effects among current particles.
    if (doBoseEinsteinNow) {
      if (!boseEinstein.shiftEvent(event)) return false;
      doBoseEinsteinNow = false;
    }

    // Fourth part: sequential decays also of long-lived particles.
    if (doDecay) {
    
      // Loop through all entries to find those that should decay.
      int iDec = 0;
      do {
        Particle& decayer = event[iDec];
        if ( decayer.isFinal() && decayer.canDecay() && decayer.mayDecay() ) {
          decays.decay( iDec, event);
          if (decays.moreToDo()) moreToDo = true;
        }
      } while (++iDec < event.size());
    }

  // Normally done first time around, but sometimes not (e.g. Upsilon).
  } while (moreToDo);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Allow more decays if on/off switches changed.
// Note: does not do sequential hadronization, e.g. for Upsilon.

bool HadronLevel::moreDecays( Event& event) {

  // Colour-octet onia states must be decayed to singlet + gluon.
  if (!decayOctetOnia(event)) return false;
    
  // Loop through all entries to find those that should decay.
  int iDec = 0;
  do {
    if ( event[iDec].isFinal() && event[iDec].canDecay()
      && event[iDec].mayDecay() ) decays.decay( iDec, event);
  } while (++iDec < event.size());

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Decay colour-octet onium states.

bool HadronLevel::decayOctetOnia(Event& event) {

  // Loop over particles and decay any onia encountered.
  for (int iDec = 0; iDec < event.size(); ++iDec)
  if (event[iDec].isFinal() 
    && particleDataPtr->isOctetHadron(event[iDec].id())) {
    if (!decays.decay( iDec, event)) return false;

    // Set colour flow by hand: gluon inherits octet-onium state.
    int iGlu = event.size() - 1;
    event[iGlu].cols( event[iDec].col(), event[iDec].acol() );
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Trace colour flow in the event to form colour singlet subsystems.

bool HadronLevel::findSinglets(Event& event) {

  // Find a list of final partons and of all colour ends and gluons.
  iColEnd.resize(0);
  iAcolEnd.resize(0);
  iColAndAcol.resize(0);
  for (int i = 0; i < event.size(); ++i) if (event[i].isFinal()) {
    if (event[i].col() > 0 && event[i].acol() > 0) iColAndAcol.push_back(i);
    else if (event[i].col() > 0) iColEnd.push_back(i);
    else if (event[i].acol() > 0) iAcolEnd.push_back(i);
  }

  // Begin arrange the partons into separate colour singlets.
  colConfig.clear();
  iPartonJun.resize(0);
  iPartonAntiJun.resize(0);

  // No need to do anything if no final partons.
  if (iColEnd.size() == 0 && iAcolEnd.size() == 0
    && iColAndAcol.size() == 0) return true;

  // Junctions: loop over them, and identify kind.
  for (int iJun = 0; iJun < event.sizeJunction(); ++iJun)
  if (event.remainsJunction(iJun)) {
    event.remainsJunction(iJun, false);
    int kindJun = event.kindJunction(iJun);
    iParton.resize(0);

    // Loop over junction legs.
    for (int iCol = 0; iCol < 3; ++iCol) {
      int indxCol = event.colJunction(iJun, iCol);
      iParton.push_back( -(10 + 10 * iJun + iCol) );
      // Junctions: find color ends.
      if (kindJun % 2 == 1 && !traceFromAcol(indxCol, event, iJun, iCol))
        return false;
      // Antijunctions: find anticolor ends.
      if (kindJun % 2 == 0 && !traceFromCol(indxCol, event, iJun, iCol))
        return false;
    }

    // Reject triple- and higher-junction systems (physics not implemented).
    int otherJun = 0;
    for (int i = 0; i < int(iParton.size()); ++i)
    if (iParton[i] < 0 && abs(iParton[i]) / 10 != iJun + 1) {
      if (otherJun == 0) otherJun = abs(iParton[i]) / 10;
      else if (abs(iParton[i]) / 10 != otherJun) {
        infoPtr->errorMsg("Error in HadronLevel::findSinglets: "
          "too many junction-junction connections");
        return false;
      }
    }

    // Keep in memory a junction hooked up with an antijunction,
    // else store found single-junction system.
    int nNeg = 0;
    for (int i = 0; i < int(iParton.size()); ++i) if (iParton[i] < 0)
      ++nNeg;
    if (nNeg > 3 && kindJun % 2 == 1) {
      iPartonJun.push_back(iParton);
    } else if (nNeg > 3 && kindJun % 2 == 0) {
      iPartonAntiJun.push_back(iParton);
    } else {
      // A junction may be eliminated by insert if two quarks are nearby.
      int nJunOld = event.sizeJunction();
      if (!colConfig.insert(iParton, event)) return false;
      if (event.sizeJunction() < nJunOld) {

	// Update previously stored numbers.
	for (int i = 0;i < int(iPartonJun.size());++i)
	  for (int j = 0;j < int(iPartonJun[i].size()); ++j)
	    if (iPartonJun[i][j] < -(10 + 10 * iJun)) iPartonJun[i][j] += 10;
	for (int i = 0;i < int(iPartonAntiJun.size());++i)
	  for (int j = 0;j < int(iPartonAntiJun[i].size()); ++j)
	    if (iPartonAntiJun[i][j] < -(10 + 10 * iJun))
	      iPartonAntiJun[i][j] += 10;

	// One junction was removed.
	--iJun;
      }
    }
  }

  // Split junction-antijunction system into two, and store those.
  // (Only one system in extreme cases, and then second empty.)
  if (iPartonJun.size() > 0 && iPartonAntiJun.size() > 0) {
    if (!splitJunctionPair(event)) return false;
    for (int i = 0; i < int(iPartonJun.size()); ++i)
      if (iPartonJun[i].size() > 0)
        if  (!colConfig.insert(iPartonJun[i], event)) return false;

    for (int i = 0; i < int(iPartonAntiJun.size()); ++i) 
      if (iPartonAntiJun[i].size() > 0)
        if (!colConfig.insert(iPartonAntiJun[i], event)) return false;
  }

  // Error if not same number of junctions and antijuctions left here.
  if ( iPartonJun.size() != iPartonAntiJun.size() ) {
     infoPtr->errorMsg("Error in HadronLevel::findSinglets: "
      "unmatched (anti)junction");
    return false;
  }

  // Open strings: pick up each colour end and trace to its anticolor end.
  for (int iEnd = 0; iEnd < int(iColEnd.size()); ++iEnd) {
    iParton.resize(0);
    iParton.push_back( iColEnd[iEnd] );
    int indxCol = event[ iColEnd[iEnd] ].col();
    if (!traceFromCol(indxCol, event)) return false;

    // Store found open string system. Analyze its properties.
    if (!colConfig.insert(iParton, event)) return false;
  }

  // Closed strings : begin at any gluon and trace until back at it.
  while (iColAndAcol.size() > 0) {
    iParton.resize(0);
    iParton.push_back( iColAndAcol[0] );
    int indxCol = event[ iColAndAcol[0] ].col();
    int indxAcol = event[ iColAndAcol[0] ].acol();
    iColAndAcol[0] = iColAndAcol.back();
    iColAndAcol.pop_back();
    if (!traceInLoop(indxCol, indxAcol, event)) return false;

    // Store found closed string system. Analyze its properties.
    if (!colConfig.insert(iParton, event)) return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Trace a colour line, from a colour to an anticolour.

bool HadronLevel::traceFromCol(int indxCol, Event& event, int iJun,
  int iCol) {

  // Junction kind, if any.
  int kindJun = (iJun >= 0) ? event.kindJunction(iJun) : 0;

  // Begin to look for a matching anticolour.
  int loop = 0;
  int loopMax = iColAndAcol.size() + 2;
  bool hasFound = false;
  do {
    ++loop;
    hasFound= false;

    // First check list of matching anticolour ends.
    for (int i = 0; i < int(iAcolEnd.size()); ++i)
    if (event[ iAcolEnd[i] ].acol() == indxCol) {
      iParton.push_back( iAcolEnd[i] );
      indxCol = 0;
      iAcolEnd[i] = iAcolEnd.back();
      iAcolEnd.pop_back();
      hasFound = true;
      break;
    }
  
    // Then check list of intermediate gluons.
    if (!hasFound)
    for (int i = 0; i < int(iColAndAcol.size()); ++i)
    if (event[ iColAndAcol[i] ].acol() == indxCol) {
      iParton.push_back( iColAndAcol[i] );

      // Update to new colour. Remove gluon.
      indxCol = event[ iColAndAcol[i] ].col();
      if (kindJun > 0) event.endColJunction(iJun, iCol, indxCol);
      iColAndAcol[i] = iColAndAcol.back();
      iColAndAcol.pop_back();
      hasFound = true;
      break;
    }

    // Check opposite-sign junction colours.
    if (!hasFound)
      for (int iAntiJun = 0; iAntiJun < event.sizeJunction(); ++iAntiJun)
        if (iAntiJun != iJun && event.kindJunction(iAntiJun) %2 == 1)
          for (int iColAnti = 0; iColAnti < 3; ++iColAnti)
            if (event.colJunction(iAntiJun, iColAnti) == indxCol) {
              iParton.push_back( -(10 + 10 * iAntiJun + iColAnti) );
              indxCol = 0;
              hasFound = true;
              break;
            }

    // In a pinch, check list of opposite-sign junction end colours.
    // Store in iParton list as -(10 + 10 * iAntiJun + iAntiLeg).
    if (!hasFound && kindJun % 2 == 0 && event.sizeJunction() > 1)
      for (int iAntiJun = 0; iAntiJun < event.sizeJunction(); ++iAntiJun)
        if (iAntiJun != iJun && event.kindJunction(iAntiJun) %2 == 1)
          for (int iColAnti = 0; iColAnti < 3; ++iColAnti)
            if (event.endColJunction(iAntiJun, iColAnti) == indxCol) {
              iParton.push_back( -(10 + 10 * iAntiJun + iColAnti) );
              indxCol = 0;
              hasFound = true;
              break;
            }
    
  // Keep on tracing via gluons until reached end of leg.
  } while (hasFound && indxCol > 0 && loop < loopMax);

  // Something went wrong in colour tracing.
  if (!hasFound || loop == loopMax) {
    infoPtr->errorMsg("Error in HadronLevel::traceFromCol: "
      "colour tracing failed");
    return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Trace a colour line, from an anticolour to a colour.

bool HadronLevel::traceFromAcol(int indxCol, Event& event, int iJun,
  int iCol) {

  // Junction kind, if any.
  int kindJun = (iJun >= 0) ? event.kindJunction(iJun) : 0;

  // Begin to look for a matching colour.
  int loop = 0;
  int loopMax = iColAndAcol.size() + 2;
  bool hasFound = false;
  do {
    ++loop;
    hasFound= false;

    // First check list of matching colour ends.
    for (int i = 0; i < int(iColEnd.size()); ++i)
    if (event[ iColEnd[i] ].col() == indxCol) {
      iParton.push_back( iColEnd[i] );
      indxCol = 0;
      iColEnd[i] = iColEnd.back();
      iColEnd.pop_back();
      hasFound = true;
      break;
    }
  
    // Then check list of intermediate gluons.
    if (!hasFound)
    for (int i = 0; i < int(iColAndAcol.size()); ++i)
    if (event[ iColAndAcol[i] ].col() == indxCol) {
      iParton.push_back( iColAndAcol[i] );
      // Update to new colour. Remove gluon.
      indxCol = event[ iColAndAcol[i] ].acol();
      if (kindJun > 0) event.endColJunction(iJun, iCol, indxCol);
      iColAndAcol[i] = iColAndAcol.back();
      iColAndAcol.pop_back();
      hasFound = true;
      break;
    }

     // Check opposite-sign junction colours.
    if (!hasFound)
    for (int iAntiJun = 0; iAntiJun < event.sizeJunction(); ++iAntiJun)
      if (iAntiJun != iJun && event.kindJunction(iAntiJun) % 2 == 0)
        for (int iColAnti = 0; iColAnti < 3; ++iColAnti)
          if (event.colJunction(iAntiJun, iColAnti) == indxCol) {
            iParton.push_back( -(10 + 10 * iAntiJun + iColAnti) );
            indxCol = 0;
            hasFound = true;
            break;
          }

    // In a pinch, check list of opposite-sign junction end colours.
    // Store in iParton list as -(10 + 10 * iAntiJun + iLeg).
    if (!hasFound && kindJun % 2 == 1 && event.sizeJunction() > 1)
    for (int iAntiJun = 0; iAntiJun < event.sizeJunction(); ++iAntiJun)
      if (iAntiJun != iJun && event.kindJunction(iAntiJun) % 2 == 0)
        for (int iColAnti = 0; iColAnti < 3; ++iColAnti)
          if (event.endColJunction(iAntiJun, iColAnti) == indxCol) {
            iParton.push_back( -(10 + 10 * iAntiJun + iColAnti) );
            indxCol = 0;
            hasFound = true;
            break;
          }
    
    // Keep on tracing via gluons until reached end of leg.
  } while (hasFound && indxCol > 0 && loop < loopMax);

  // Something went wrong in colour tracing.
  if (!hasFound || loop == loopMax) {
    infoPtr->errorMsg("Error in HadronLevel::traceFromAcol: "
      "colour tracing failed");
    return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Trace a colour loop, from a colour back to the anticolour of the same.

bool HadronLevel::traceInLoop(int indxCol, int indxAcol, Event& event) {
    
  // Move around until back where begun.
  int loop = 0;
  int loopMax = iColAndAcol.size() + 2;
  bool hasFound = false;
  do {
    ++loop;
    hasFound= false;
  
    // Check list of gluons.
    for (int i = 0; i < int(iColAndAcol.size()); ++i)
      if (event[ iColAndAcol[i] ].acol() == indxCol) {
        iParton.push_back( iColAndAcol[i] );
        indxCol = event[ iColAndAcol[i] ].col();
        iColAndAcol[i] = iColAndAcol.back();
        iColAndAcol.pop_back();
        hasFound = true;
        break;
    }
  } while (hasFound && indxCol != indxAcol && loop < loopMax);

  // Something went wrong in colour tracing.
  if (!hasFound || loop == loopMax) {
    infoPtr->errorMsg("Error in HadronLevel::traceInLoop: "
      "colour tracing failed");
    return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Split junction-antijunction system into two, or simplify other way.

bool HadronLevel::splitJunctionPair(Event& event) {

  for(int iJun = 0;iJun < int(iPartonJun.size());++iJun) {
    int identJun = (-iPartonJun[iJun][0])/10;

    // Find the connected anti junctions.
    int identAntiJun = 500;
    for (int i = 0;i < int(iPartonJun[iJun].size()); ++i) {
      if (iPartonJun[iJun][i] < 0 && (-iPartonJun[iJun][i])/10 != identJun) {
        identAntiJun = (-iPartonJun[iJun][i])/10;
        break;
      }
    }
    int iAntiJun = -1;
    for (int i = 0; i < int(iPartonAntiJun.size());i++)
    if ( (-iPartonAntiJun[i][0])/10 == identAntiJun) {
      iAntiJun = i;
      break;
    }
    // If no anti junction found, something went wrong earlier.
    if(iAntiJun == -1)
      return false;

    // Construct separate index arrays for the three junction legs.
    iJunLegA.resize(0);
    iJunLegB.resize(0);
    iJunLegC.resize(0);
    int leg = -1;
    for (int i = 0; i < int(iPartonJun[iJun].size()); ++ i) {
      if ( (-iPartonJun[iJun][i])/10 == identJun) ++leg;
      if (leg == 0) iJunLegA.push_back( iPartonJun[iJun][i] );
      else if (leg == 1) iJunLegB.push_back( iPartonJun[iJun][i] );
      else iJunLegC.push_back( iPartonJun[iJun][i] );
    }

    // Construct separate index arrays for the three antijunction legs.
    int identAnti = (-iPartonAntiJun[iAntiJun][0])/10;
    iAntiLegA.resize(0);
    iAntiLegB.resize(0);
    iAntiLegC.resize(0);
    leg = -1;
    for (int i = 0; i < int(iPartonAntiJun[iAntiJun].size()); ++ i) {
      if ( (-iPartonAntiJun[iAntiJun][i])/10 == identAnti) ++leg;
      if (leg == 0) iAntiLegA.push_back( iPartonAntiJun[iAntiJun][i] );
      else if (leg == 1) iAntiLegB.push_back( iPartonAntiJun[iAntiJun][i] );
      else iAntiLegC.push_back( iPartonAntiJun[iAntiJun][i] );
    }

    // Find interjunction legs, i.e. between junction and antijunction.
    int nMatch = 0;
    int legJun[3], legAnti[3], nGluLeg[3];
    if (iJunLegA.back() < 0) { legJun[nMatch] = 0;
      legAnti[nMatch] = (-iJunLegA.back())%10; ++nMatch;}
    if (iJunLegB.back() < 0) { legJun[nMatch] = 1;
      legAnti[nMatch] = (-iJunLegB.back())%10; ++nMatch;}
    if (iJunLegC.back() < 0) { legJun[nMatch] = 2;
      legAnti[nMatch] = (-iJunLegC.back())%10; ++nMatch;}

    // Loop over interjunction legs.
    for (int iMatch = 0; iMatch < nMatch; ++iMatch) {
      vector& iJunLeg = (legJun[iMatch] == 0) ? iJunLegA
        : ( (legJun[iMatch] == 1) ? iJunLegB : iJunLegC );
      vector& iAntiLeg = (legAnti[iMatch] == 0) ? iAntiLegA
        : ( (legAnti[iMatch] == 1) ? iAntiLegB : iAntiLegC );
  
      // Find number of gluons on each. Do nothing for now if none.
      nGluLeg[iMatch] = iJunLeg.size() + iAntiLeg.size() - 4;
      if (nGluLeg[iMatch] == 0) continue;

      // Else pick up the gluons on the interjunction leg in order.
      iGluLeg.resize(0);
      for (int i = 1; i < int(iJunLeg.size()) - 1; ++i)
        iGluLeg.push_back( iJunLeg[i] );
      for (int i = int(iAntiLeg.size()) - 2; i > 0; --i)
        iGluLeg.push_back( iAntiLeg[i] );

      // Remove those gluons from the junction/antijunction leg lists.
      iJunLeg.resize(1);
      iAntiLeg.resize(1);

     // Pick a new quark at random; for simplicity no diquarks.
      int idQ = flavSel.pickLightQ();
      int colQ, acolQ;

      // If one gluon on leg, split it into a collinear q-qbar pair.
      if (iGluLeg.size() == 1) {

        // Store the new q qbar pair, sharing gluon colour and momentum.
        colQ = event[ iGluLeg[0] ].col();
        acolQ = event[ iGluLeg[0] ].acol();
        Vec4 pQ = 0.5 * event[ iGluLeg[0] ].p();
        double mQ = 0.5 * event[ iGluLeg[0] ].m();
        int iQ = event.append( idQ, 75, iGluLeg[0], 0, 0, 0, colQ, 0, pQ, mQ );
        int iQbar = event.append( -idQ, 75, iGluLeg[0], 0, 0, 0, 0, acolQ,
          pQ, mQ );

        // Mark split gluon and update junction and antijunction legs.
        event[ iGluLeg[0] ].statusNeg();
        event[ iGluLeg[0] ].daughters( iQ, iQbar);
        iJunLeg.push_back(iQ);
        iAntiLeg.push_back(iQbar);

      // If several gluons on the string, decide which g-g region to split up.
      } else {

        // Evaluate mass-squared for all adjacent gluon pairs.
        m2Pair.resize(0);
        double m2Sum = 0.;
        for (int i = 0; i < int(iGluLeg.size()) - 1; ++i) {
          double m2Now = 0.5 * event[ iGluLeg[i] ].p()
            * event[ iGluLeg[i + 1] ].p();
          m2Pair.push_back(m2Now);
          m2Sum += m2Now;
        }

        // Pick breakup region with probability proportional to mass-squared.
        double m2Reg = m2Sum * rndmPtr->flat();
        int iReg = -1;
        do m2Reg -= m2Pair[++iReg];
        while (m2Reg > 0. && iReg < int(iGluLeg.size()) - 1);
        m2Reg = m2Pair[iReg];

        // Pick breaking point of string in chosen region (symmetrically).
        double m2Temp = min( JJSTRINGM2MAX, JJSTRINGM2FRAC * m2Reg);
        double xPos = 0.5;
        double xNeg = 0.5;
        do {
          double zTemp = zSel.zFrag( idQ, 0, m2Temp);
          xPos = 1. - zTemp;
          xNeg = m2Temp / (zTemp * m2Reg);
        } while (xNeg > 1.);
        if (rndmPtr->flat() > 0.5) swap(xPos, xNeg);

        // Pick up two "mother" gluons of breakup. Mark them decayed.
        Particle& gJun = event[ iGluLeg[iReg] ];
        Particle& gAnti = event[ iGluLeg[iReg + 1] ];
        gJun.statusNeg();
        gAnti.statusNeg();
        int dau1 = event.size();
        gJun.daughters(dau1, dau1 + 3);
        gAnti.daughters(dau1, dau1 + 3);
        int mother1 = min( iGluLeg[iReg], iGluLeg[iReg + 1]);
        int mother2 = max( iGluLeg[iReg], iGluLeg[iReg + 1]);

        // Need to store variables, since it is not safe to use references 
        // with append.
        int gJunCol   = gJun.col();
        int gJunAcol  = gJun.acol();
        int gAntiAcol = gAnti.acol();
        Vec4 gJunP    = gJun.p();
        Vec4 gAntiP   = gAnti.p();
        double gJunM  = gJun.m();
        double gAntiM = gAnti.m();

        // Can keep one of old colours but need one new so unambiguous.
        colQ          = gJun.acol();
        acolQ         = event.nextColTag();

        // Store copied gluons with reduced momenta.
        int iGjun = event.append( 21, 75, mother1, mother2, 0, 0,
          gJunCol, gJunAcol, (1. - 0.5 * xPos) * gJunP,
          (1. - 0.5 * xPos) * gJunM);
        int iGanti = event.append( 21, 75, mother1, mother2, 0, 0,
          acolQ, gAntiAcol, (1. - 0.5 * xNeg) * gAntiP,
          (1. - 0.5 * xNeg) * gAntiM);

        // Store the new q qbar pair with remaining momenta.
        int iQ = event.append( idQ, 75, mother1, mother2, 0, 0,
          colQ, 0, 0.5 * xNeg * gAntiP, 0.5 * xNeg * gAntiM );
        int iQbar = event.append( -idQ, 75, mother1, mother2, 0, 0,
          0, acolQ, 0.5 * xPos * gJunP, 0.5 * xPos * gJunM );

        // Update junction and antijunction legs with gluons and quarks.
        for (int i = 0; i < iReg; ++i)
          iJunLeg.push_back( iGluLeg[i] );
        iJunLeg.push_back(iGjun);
        iJunLeg.push_back(iQ);
        for (int i = int(iGluLeg.size()) - 1; i > iReg + 1; --i)
          iAntiLeg.push_back( iGluLeg[i] );
        iAntiLeg.push_back(iGanti);
        iAntiLeg.push_back(iQbar);
      }

      // Update end colours for both g -> q qbar and g g -> g g q qbar.
      event.endColJunction(identJun - 1, legJun[iMatch], colQ);
      event.endColJunction(identAnti - 1, legAnti[iMatch], acolQ);
    }

    // Update list of interjunction legs after splittings above.
    int iMatchUp = 0;
    while (iMatchUp < nMatch) {
      if (nGluLeg[iMatchUp] > 0) {
        for (int i = iMatchUp; i < nMatch - 1; ++i) {
          legJun[i] = legJun[i + 1];
          legAnti[i] = legAnti[i + 1];
          nGluLeg[i] = nGluLeg[i + 1];
        } --nMatch;
      } else ++iMatchUp;
    }

    // Should not ever have three empty interjunction legs.
    if (nMatch == 3) {
      infoPtr->errorMsg("Error in HadronLevel::splitJunctionPair: "
        "three empty junction-junction legs");
      return false;
    }

    // If two legs are empty, then collapse system to a single string.
    if (nMatch == 2) {
      int legJunLeft = 3 - legJun[0] - legJun[1];
      int legAntiLeft = 3 - legAnti[0] - legAnti[1];
      vector& iJunLeg = (legJunLeft == 0) ? iJunLegA
        : ( (legJunLeft == 1) ? iJunLegB : iJunLegC );
      vector& iAntiLeg = (legAntiLeft == 0) ? iAntiLegA
        : ( (legAntiLeft == 1) ? iAntiLegB : iAntiLegC );
      iPartonJun[iJun].resize(0);
      for (int i = int(iJunLeg.size()) - 1; i > 0; --i)
        iPartonJun[iJun].push_back( iJunLeg[i] );
      for (int i = 1; i < int(iAntiLeg.size()); ++i)
        iPartonJun[iJun].push_back( iAntiLeg[i] );

      // Match up the colours where the strings are joined.
      int iColJoin  = iJunLeg[1];
      int iAcolJoin = iAntiLeg[1];
      event[iAcolJoin].acol( event[iColJoin].col() );

      // Other string system empty. Remove junctions from their list. Done.
      iPartonAntiJun[iAntiJun].resize(0);
      event.eraseJunction( max(identJun, identAnti) - 1);
      event.eraseJunction( min(identJun, identAnti) - 1);
      continue;
    }

    // If one leg is empty then, depending on string length, either
    // (a) annihilate junction and antijunction into two simple strings, or
    // (b) split the empty leg by borrowing energy from nearby legs.
    if (nMatch == 1) {

      // Identify the two external legs of either junction.
      vector& iJunLeg0 = (legJun[0] == 0) ? iJunLegB : iJunLegA;
      vector& iJunLeg1 = (legJun[0] == 2) ? iJunLegB : iJunLegC;
      vector& iAntiLeg0 = (legAnti[0] == 0) ? iAntiLegB : iAntiLegA;
      vector& iAntiLeg1 = (legAnti[0] == 2) ? iAntiLegB : iAntiLegC;

      // Simplified procedure: mainly study first parton on each leg.
      Vec4 pJunLeg0 = event[ iJunLeg0[1] ].p();
      Vec4 pJunLeg1 = event[ iJunLeg1[1] ].p();
      Vec4 pAntiLeg0 = event[ iAntiLeg0[1] ].p();
      Vec4 pAntiLeg1 = event[ iAntiLeg1[1] ].p();
 
      // Starting frame hopefully intermediate to two junction directions.
      Vec4 pStart = pJunLeg0 / pJunLeg0.e() + pJunLeg1 / pJunLeg1.e()
        + pAntiLeg0 / pAntiLeg0.e() + pAntiLeg1 / pAntiLeg1.e();

      // Loop over iteration to junction/antijunction rest frames (JRF/ARF).
      RotBstMatrix MtoJRF, MtoARF;
      Vec4 pInJRF[3], pInARF[3];
      for (int iJunLocal = 0; iJunLocal < 2; ++iJunLocal) {
        int offset = (iJunLocal == 0) ? 0 : 2;

        // Iterate from system rest frame towards the junction rest frame.
        RotBstMatrix MtoRF, Mstep;
        MtoRF.bstback(pStart);
        Vec4 pInRF[4];
        int iter = 0;
        do {
          ++iter;

          // Find rest-frame momenta on the three sides of the junction.
          // Only consider first parton on each leg, for simplicity.
          pInRF[0 + offset] = pJunLeg0;
          pInRF[1 + offset] = pJunLeg1;
          pInRF[2 - offset] = pAntiLeg0;
          pInRF[3 - offset] = pAntiLeg1;
          for (int i = 0; i < 4; ++i) pInRF[i].rotbst(MtoRF);

          // For third side add both legs beyond other junction, weighted.
          double wt2 = 1. - exp( -pInRF[2].e() / eNormJunction);
          double wt3 = 1. - exp( -pInRF[3].e() / eNormJunction);
          pInRF[2] = wt2 * pInRF[2] + wt3 * pInRF[3];

          // Find new junction rest frame from the set of momenta.
          Mstep = stringFrag.junctionRestFrame( pInRF[0], pInRF[1], pInRF[2]);
          MtoRF.rotbst( Mstep );
        } while (iter < 3 || (Mstep.deviation() > CONVJNREST
          && iter < NTRYJNREST) );

        // Store final boost and rest-frame (weighted) momenta.
        if (iJunLocal == 0) {
          MtoJRF = MtoRF;
          for (int i = 0; i < 3; ++i) pInJRF[i] = pInRF[i];
        } else {
          MtoARF = MtoRF;
          for (int i = 0; i < 3; ++i) pInARF[i] = pInRF[i];
        }
      }

      // Opposite operations: boost from JRF/ARF to original system.
      RotBstMatrix MfromJRF = MtoJRF;
      MfromJRF.invert();
      RotBstMatrix MfromARF = MtoARF;
      MfromARF.invert();

      // Velocity vectors of junctions and momentum of legs in lab frame.
      Vec4 vJun(0., 0., 0., 1.);
      vJun.rotbst(MfromJRF);
      Vec4 vAnti(0., 0., 0., 1.);
      vAnti.rotbst(MfromARF);
      Vec4 pLabJ[3], pLabA[3];
      for (int i = 0; i < 3; ++i) {
        pLabJ[i] = pInJRF[i];
        pLabJ[i].rotbst(MfromJRF);
        pLabA[i] = pInARF[i];
        pLabA[i].rotbst(MfromARF);
      }

      // Calculate Lambda-measure length of three possible topologies.
      double vJvA = vJun * vAnti;
      double vJvAe2y = vJvA + sqrt(vJvA*vJvA - 1.);
      double LambdaJA = (2. * pInJRF[0].e()) * (2. * pInJRF[1].e())
        * (2. * pInARF[0].e()) * (2. * pInARF[1].e()) * vJvAe2y;
      double Lambda00 = (2. * pLabJ[0] * pLabA[0])
        * (2. * pLabJ[1] * pLabA[1]);
      double Lambda01 = (2. * pLabJ[0] * pLabA[1])
        * (2. * pLabJ[1] * pLabA[0]);

      // Case when either topology without junctions is the shorter one.
      if (LambdaJA > min( Lambda00, Lambda01)) {
        vector& iAntiMatch0 = (Lambda00 < Lambda01)
          ? iAntiLeg0 : iAntiLeg1;
        vector& iAntiMatch1 = (Lambda00 < Lambda01)
          ? iAntiLeg1 : iAntiLeg0;

        // Define two quark-antiquark strings.
        iPartonJun[iJun].resize(0);
        for (int i = int(iJunLeg0.size()) - 1; i > 0; --i)
          iPartonJun[iJun].push_back( iJunLeg0[i] );
        for (int i = 1; i < int(iAntiMatch0.size()); ++i)
          iPartonJun[iJun].push_back( iAntiMatch0[i] );
        iPartonAntiJun[iAntiJun].resize(0);
        for (int i = int(iJunLeg1.size()) - 1; i > 0; --i)
          iPartonAntiJun[iAntiJun].push_back( iJunLeg1[i] );
        for (int i = 1; i < int(iAntiMatch1.size()); ++i)
          iPartonAntiJun[iAntiJun].push_back( iAntiMatch1[i] );

        // Match up the colours where the strings are joined.
        int iColJoin  = iJunLeg0[1];
        int iAcolJoin = iAntiMatch0[1];
        event[iAcolJoin].acol( event[iColJoin].col() );
        iColJoin  = iJunLeg1[1];
        iAcolJoin = iAntiMatch1[1];
        event[iAcolJoin].acol( event[iColJoin].col() );

        // Remove junctions from their list. Done.
        event.eraseJunction( max(identJun, identAnti) - 1);
        event.eraseJunction( min(identJun, identAnti) - 1);

        continue;
      }

      // Case where junction and antijunction to be separated.
      // Shuffle (p+/p-)  momentum of order  between systems,
      // times 2/3 for 120 degree in JRF, times 1/2 for two legs,
      // but not more than half of what nearest parton carries.
      double eShift = MTHAD / (3. * sqrt(vJvAe2y));
      double fracJ0 = min(0.5, eShift / pInJRF[0].e());
      double fracJ1 = min(0.5, eShift / pInJRF[0].e());
      Vec4 pFromJun = fracJ0 * pJunLeg0 + fracJ1 * pJunLeg1;
      double fracA0 = min(0.5, eShift / pInARF[0].e());
      double fracA1 = min(0.5, eShift / pInARF[0].e());
      Vec4 pFromAnti = fracA0 * pAntiLeg0 + fracA1 * pAntiLeg1;

      // Pick a new quark at random; for simplicity no diquarks.
      int idQ = flavSel.pickLightQ();

      // Copy junction partons with scaled-down momenta and update legs.
      int mother1 = min(iJunLeg0[1], iJunLeg1[1]);
      int mother2 = max(iJunLeg0[1], iJunLeg1[1]);
      int iNew1 = event.copy(iJunLeg0[1], 76);
      event[iNew1].rescale5(1. - fracJ0);
      iJunLeg0[1] = iNew1;
      int iNew2 = event.copy(iJunLeg1[1], 76);
      event[iNew2].rescale5(1. - fracJ1);
      iJunLeg1[1] = iNew2;

      // Update junction colour and store quark with antijunction momentum.
      // Store history as 2 -> 3  step for consistency.
      int colQ = event.nextColTag();
      event.endColJunction(identJun - 1, legJun[0], colQ);
      int iNewJ = event.append( idQ, 76, mother1, mother2, 0, 0,
        colQ, 0, pFromAnti, pFromAnti.mCalc() );
      event[mother1].daughters( iNew1, iNewJ);
      event[mother2].daughters( iNew1, iNewJ);
      event[iNew1].mothers( mother1, mother2);
      event[iNew2].mothers( mother1, mother2);

      // Copy anti junction partons with scaled-down momenta and update legs.
      mother1 = min(iAntiLeg0[1], iAntiLeg1[1]);
      mother2 = max(iAntiLeg0[1], iAntiLeg1[1]);
      iNew1 = event.copy(iAntiLeg0[1], 76);
      event[iNew1].rescale5(1. - fracA0);
      iAntiLeg0[1] = iNew1;
      iNew2 = event.copy(iAntiLeg1[1], 76);
      event[iNew2].rescale5(1. - fracA1);
      iAntiLeg1[1] = iNew2;

      // Update antijunction anticolour and store antiquark with junction
      // momentum. Store history as 2 -> 3  step for consistency.
      int acolQ = event.nextColTag();
      event.endColJunction(identAnti - 1, legAnti[0], acolQ);
      int iNewA = event.append( -idQ, 76, mother1, mother2, 0, 0,
        0, acolQ, pFromJun, pFromJun.mCalc() );
      event[mother1].daughters( iNew1, iNewA);
      event[mother2].daughters( iNew1, iNewA);
      event[iNew1].mothers( mother1, mother2);
      event[iNew2].mothers( mother1, mother2);

      // Bookkeep new quark and antiquark on third legs.
      if (legJun[0] == 0) iJunLegA[1] = iNewJ;
      else if (legJun[0] == 1) iJunLegB[1] = iNewJ;
      else iJunLegC[1] = iNewJ;
      if (legAnti[0] == 0) iAntiLegA[1] = iNewA;
      else if (legAnti[0] == 1) iAntiLegB[1] = iNewA;
      else iAntiLegC[1] = iNewA;

    // Done with splitting junction from antijunction.
    }

    // Put together new junction parton list.
    iPartonJun[iJun].resize(0);
    for (int i = 0; i < int(iJunLegA.size()); ++i)
      iPartonJun[iJun].push_back( iJunLegA[i] );
    for (int i = 0; i < int(iJunLegB.size()); ++i)
      iPartonJun[iJun].push_back( iJunLegB[i] );
    for (int i = 0; i < int(iJunLegC.size()); ++i)
      iPartonJun[iJun].push_back( iJunLegC[i] );

    // Put together new antijunction parton list.
    iPartonAntiJun[iAntiJun].resize(0);
    for (int i = 0; i < int(iAntiLegA.size()); ++i)
      iPartonAntiJun[iAntiJun].push_back( iAntiLegA[i] );
    for (int i = 0; i < int(iAntiLegB.size()); ++i)
      iPartonAntiJun[iAntiJun].push_back( iAntiLegB[i] );
    for (int i = 0; i < int(iAntiLegC.size()); ++i)
      iPartonAntiJun[iAntiJun].push_back( iAntiLegC[i] );

  }
  // Now all the two junction systems are separated and can be stored.
  return true;


}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaGeneric.cc0000644000175000017500000003342412357054763016014 0ustar  sunsun// SigmaGeneric.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Johan Bijnens, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for various generic
// production processes, to be used as building blocks for some BSM processes.
// Currently represented by QCD pair production of colour triplet objects,
// with spin either 0, 1/2 or 1.

// Cross sections are only provided for fixed m3 = m4, so do some gymnastics:
// i) s34Avg picked so that beta34 same when s3, s4 -> s34Avg.
// ii) tHQ = tH - mQ^2 = -0.5 sH (1 - beta34 cos(thetaH)) for m3 = m4 = mQ,
//     but tH - uH = sH beta34 cos(thetaH) also for m3 != m4, so use
//     tH, uH selected for m3 != m4 to derive tHQ, uHQ valid for m3 = m4.

#include "Pythia8/SigmaGeneric.h"

namespace Pythia8 {

//==========================================================================

// Sigma2gg2qGqGbar class.
// Cross section for g g -> qG qGbar (generic quark of spin 0, 1/2 or 1).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2qGqGbar::initProc() {

  // Number of colours. Anomalous coupling kappa - 1 used for vector state.
  nCHV         = settingsPtr->mode("HiddenValley:Ngauge");
  kappam1      = settingsPtr->parm("HiddenValley:kappa") - 1.;
  hasKappa     = (abs(kappam1) > 1e-8);

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);
  
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2gg2qGqGbar::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  double delta  = 0.25 * pow2(s3 - s4) / sH;
  double s34Avg = 0.5 * (s3 + s4) - delta;
  double tHavg  = tH - delta;
  double uHavg  = uH - delta;
  double tHQ    = -0.5 * (sH - tH + uH);
  double uHQ    = -0.5 * (sH + tH - uH);
  double tHQ2   = tHQ * tHQ;
  double uHQ2   = uHQ * uHQ;

  //  Evaluate cross section for spin 0 colour triplet.
  if (spinSave == 0) {
    sigSum = 0.5 * ( 7. / 48. + 3. * pow2(uHavg - tHavg) / (16. * sH2) )
      * ( 1. + 2. * s34Avg * tHavg / pow2(tHavg - s34Avg)
      + 2. * s34Avg * uHavg / pow2(uHavg - s34Avg)
      + 4. * pow2(s34Avg) / ((tHavg - s34Avg) * (uHavg - s34Avg)) );

    // Equal probability for two possible colour flows.
    sigTS = 0.5 * sigSum;
    sigUS = sigTS;
  }

  //  Evaluate cross section for spin 1/2 colour triplet.
  else if (spinSave == 1) {
    double tumHQ = tHQ * uHQ - s34Avg * sH;
    sigTS = ( uHQ / tHQ - 2.25 * uHQ2 / sH2 + 4.5 * s34Avg * tumHQ
      / ( sH * tHQ2) + 0.5 * s34Avg * (tHQ + s34Avg) / tHQ2
      - s34Avg*s34Avg / (sH * tHQ) ) / 6.;
    sigUS = ( tHQ / uHQ - 2.25 * tHQ2 / sH2 + 4.5 * s34Avg * tumHQ
      / ( sH * uHQ2) + 0.5 * s34Avg * (uHQ + s34Avg) / uHQ2
      - s34Avg*s34Avg / (sH * uHQ) ) / 6.;
    sigSum = sigTS + sigUS;
  }

  //  Evaluate cross section for spin 1 colour triplet.
  else {
    double tmu      = tHavg - uHavg;
    double s34Pos   = s34Avg / sH;
    double s34Pos2  = s34Pos * s34Pos;
    double s34Neg   = sH / s34Avg;
    double s34Neg2  = s34Neg * s34Neg;
    sigSum = pow2(tmu) * sH2 * (241./1536. - 1./32. * s34Pos
        + 9./16. * s34Pos2)
      + pow4(tmu) * (37./512. + 9./64. * s34Pos)
      + pow6(tmu) * (9./512. / sH2)
      + sH2 * sH2 * (133./1536. - 7./64. * s34Pos + 7./16. * s34Pos2);

    // Anomalous coupling.
    if (hasKappa)
    sigSum += pow2(tmu) * sH2 * (kappam1 * (143./384. - 7./3072 * s34Neg)
      + pow2(kappam1) * (- 1./768. * s34Neg + 185./768.)
      + pow3(kappam1) * (- 7./3072. *  s34Neg2
        - 25./3072. * s34Neg + 67./1536.)
      + pow4(kappam1) * (- 37./49152. * s34Neg2
        - 25./6144. * s34Neg + 5./1536.) )
      + pow4(tmu) * (kappam1 * 3./32.
      + pow2(kappam1) * (7./6144. * s34Neg2 - 7./768. * s34Neg + 3./128.)
      + pow3(kappam1) * (7./6144. * s34Neg2 - 7./1536. * s34Neg)
      + pow4(kappam1) * (- 1./49152. * s34Neg2 + 5./6144. * s34Neg) )
      + pow6(tmu) * pow4(kappam1) * 13./49152. / pow2(s34Avg)
      + sH2 * sH2 * ( kappam1 * 77./384.
      + pow2(kappam1) * (7./6144. * s34Neg2 + 1./96.* s34Neg + 39./256.)
      + pow3(kappam1) * (7./6144. * s34Neg2 + 13./1024. * s34Neg + 61./1536.)
      + pow4(kappam1) * (25./49152. * s34Neg2 + 5./1536. * s34Neg + 1./512.)
      );

    // Equal probability for two possible colour flows.
    sigSum /= pow2( (uHavg-s34Avg) * (tHavg-s34Avg) );
    sigTS = 0.5 * sigSum;
    sigUS = sigTS;
  }

  // Final answer, with common factors.
  sigma = (M_PI / sH2) * pow2(alpS) * sigSum * nCHV * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2qGqGbar::setIdColAcol() {

  // Flavours trivial.
  setId( 21, 21, idNew, -idNew);

  // Two colour flow topologies.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3);
  else                 setColAcol( 1, 2, 3, 1, 3, 0, 0, 2);

}

//==========================================================================

// Sigma2qqbar2qGqGbar class.
// Cross section for q qbar -> qG qGbar (generic quark of spin 0, 1/2 or 1).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2qGqGbar::initProc() {

  // Number of colours. Coupling kappa used for vector state.
  nCHV         = settingsPtr->mode("HiddenValley:Ngauge");
  kappa        = settingsPtr->parm("HiddenValley:kappa");

   // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2qGqGbar::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  double delta  = 0.25 * pow2(s3 - s4) / sH;
  double s34Avg = 0.5 * (s3 + s4) - delta;
  double tHavg  = tH - delta;
  double uHavg  = uH - delta;
  double tHQ    = -0.5 * (sH - tH + uH);
  double uHQ    = -0.5 * (sH + tH - uH);
  double tHQ2   = tHQ * tHQ;
  double uHQ2   = uHQ * uHQ;

  //  Evaluate cross section for spin 0 colour triplet.
  if (spinSave == 0) {
    sigSum = (1./9.) * (sH * (sH - 4. * s34Avg)
      - pow2(uHavg - tHavg)) / sH2;
  }

  //  Evaluate cross section for spin 1/2 colour triplet.
  else if (spinSave == 1) {
    sigSum = (4./9.) * ((tHQ2 + uHQ2) / sH2 + 2. * s34Avg / sH);
  }

  //  Evaluate cross section for spin 1 colour triplet.
  else {
    double tuH34 = (tHavg + uHavg) / s34Avg;
    sigSum = (1./9.) * (
      pow2(1. + kappa) * sH * s34Avg * (pow2(tuH34) - 4.)
      + (tHavg * uHavg - pow2(s34Avg)) * (8. + 2. * (1. - pow2(kappa)) * tuH34
      + pow2(kappa) * pow2(tuH34)) ) / sH2;
  }

  // Final answer, with common factors.
  sigma = (M_PI / sH2) * pow2(alpS) * sigSum * nCHV * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2qGqGbar::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idNew, -idNew);

  // tH defined between f and qG: must swap tHat <-> uHat if qbar q in.
  swapTU = (id1 < 0);

  // Colour flow topologies.
  if (id1 > 0) setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  else         setColAcol( 0, 2, 1, 0, 1, 0, 0, 2);

}

//==========================================================================

// Sigma2ffbar2fGfGbar class.
// Cross section for f fbar -> qG qGbar (generic quark of spin 0, 1/2 or 1)
// via gamma^*/Z^* s-channel exchange. Still under development!! ??

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2fGfGbar::initProc() {

  // Charge and number of colours. Coupling kappa used for vector state.
  if (settingsPtr->flag("HiddenValley:doKinMix"))
    eQHV2      = pow2(settingsPtr->parm("HiddenValley:kinMix"));
  else
    eQHV2      = pow2( particleDataPtr->charge(idNew) );
  nCHV         = settingsPtr->mode("HiddenValley:Ngauge");
  kappa        = settingsPtr->parm("HiddenValley:kappa");

  // Coloured or uncoloured particle.
  hasColour    = (particleDataPtr->colType(idNew) != 0);
  colFac       = (hasColour) ? 3. : 1.;

   // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2fGfGbar::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  double delta  = 0.25 * pow2(s3 - s4) / sH;
  double s34Avg = 0.5 * (s3 + s4) - delta;
  double tHavg  = tH - delta;
  double uHavg  = uH - delta;
  double tHQ    = -0.5 * (sH - tH + uH);
  double uHQ    = -0.5 * (sH + tH - uH);
  double tHQ2   = tHQ * tHQ;
  double uHQ2   = uHQ * uHQ;

  //  Evaluate cross section for spin 0 colour triplet.
  if (spinSave == 0) {
    sigSum = 0.5 * (sH * (sH - 4. * s34Avg) - pow2(uHavg - tHavg)) / sH2;
  }

  //  Evaluate cross section for spin 1/2 colour triplet.
  else if (spinSave == 1) {
    sigSum = 2. * ((tHQ2 + uHQ2) / sH2 + 2. * s34Avg / sH);
  }

  //  Evaluate cross section for spin 1 colour triplet.
  else {
    double tuH34 = (tHavg + uHavg) / s34Avg;
    sigSum = 0.5 * ( pow2(1. + kappa) * sH * s34Avg * (pow2(tuH34) - 4.)
      + (tHavg * uHavg - pow2(s34Avg)) * (8. + 2. * (1. - pow2(kappa)) * tuH34
      + pow2(kappa) * pow2(tuH34)) ) / sH2;
  }

  // Final-state charge factors.
  sigSum *= colFac * eQHV2 * (1. + alpS / M_PI);

  // Final answer, except for initial-state weight
  sigma0 = (M_PI / sH2) * pow2(alpEM) * sigSum * nCHV * openFracPair;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2fGfGbar::sigmaHat() {

  // Charge and colour factors.
  double eNow  = couplingsPtr->ef( abs(id1) );
  double sigma = sigma0 * pow2(eNow);
  if (abs(id1) < 9) sigma /= 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2fGfGbar::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idNew, -idNew);

  // tH defined between f and qG: must swap tHat <-> uHat if fbar f in.
  swapTU = (id1 < 0);

  // Colour flow topologies.
  if (hasColour) {
    if (id1 > 0 && id1 < 7)       setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
    else if (id1 > -7 && id1 < 0) setColAcol( 0, 1, 1, 0, 2, 0, 0, 2);
    else                          setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  } else {
    if (id1 > 0 && id1 < 7)       setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
    else if (id1 > -7 && id1 < 0) setColAcol( 0, 1, 1, 0, 0, 0, 0, 0);
    else                          setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  }

}

//==========================================================================

// Sigma1ffbar2Zv class.
// Cross section for f fbar -> Zv, where Zv couples both to the SM and
// to a hidden sector. Primitive coupling structure.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2Zv::initProc() {

  // Store Zv mass and width for propagator.
  idZv     = 4900023;
  mRes     = particleDataPtr->m0(idZv);
  GammaRes = particleDataPtr->mWidth(idZv);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(idZv);
  
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat); first step when inflavours unknown.

void Sigma1ffbar2Zv::sigmaKin() {

  // Breit-Wigner, including some (guessed) spin factors.
  double sigBW    = 12. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Outgoing width: only includes channels left open.
  double widthOut = particlePtr->resWidthOpen(663, mH);

  // Temporary answer.
  sigOut = sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat); second step when inflavours known.

double Sigma1ffbar2Zv::sigmaHat() {

  // Incoming quark or lepton; for former need two 1/3 colour factors.
  int id1Abs     = abs(id1);
  double widthIn = particlePtr->resWidthChan( mH, id1Abs, -id1Abs);
  if (id1Abs < 6) widthIn /= 9.;
  return widthIn * sigOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2Zv::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idZv);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 6) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma1ffbar2Zv::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying resonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Z' itself angular distribution as if gamma*.
  if (iResBeg == 5 && iResEnd == 5) {
    double mr     = 4. * pow2(process[6].m()) / sH;
    double cosThe = (process[3].p() - process[4].p())
      * (process[7].p() - process[6].p()) / (sH * sqrtpos(1. - mr));
    double wt     = 1. + pow2(cosThe) + mr * (1. - pow2(cosThe));
    return 0.5 * wt;
  }

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/Basics.cc0000644000175000017500000011626612357054760014666 0ustar  sunsun// Basics.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the Rndm, Vec4,
// RotBstMatrix and Hist classes, and some related global functions.

#include "Pythia8/Basics.h"

// Access time information.
#include 

namespace Pythia8 {

//==========================================================================

// Rndm class.
// This class handles random number generation according to the
// Marsaglia-Zaman-Tsang algorithm

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// The default seed, i.e. the Marsaglia-Zaman random number sequence.
const int Rndm::DEFAULTSEED     = 19780503;

//--------------------------------------------------------------------------

// Method to pass in pointer for external random number generation.

bool Rndm::rndmEnginePtr( RndmEngine* rndmEngPtrIn) {

  // Save pointer.
  if (rndmEngPtrIn == 0) return false;
  rndmEngPtr      = rndmEngPtrIn;
  useExternalRndm = true;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Initialize, normally at construction or in first call.

void Rndm::init(int seedIn) {

  // Pick seed in convenient way. Assure it to be non-negative.
  int seed = seedIn;
  if (seedIn < 0) seed = DEFAULTSEED;
  else if (seedIn == 0) seed = int(time(0));
  if (seed < 0) seed = -seed;

  // Unpack seed.
  int ij = (seed/30082) % 31329;
  int kl = seed % 30082;
  int i  = (ij/177) % 177 + 2;
  int j  = ij % 177 + 2;
  int k  = (kl/169) % 178 + 1;
  int l  =  kl % 169;

  // Initialize random number array.
  for (int ii = 0; ii < 97; ++ii) {
    double s = 0.;
    double t = 0.5;
    for (int jj = 0; jj < 48; ++jj) {
      int m = (( (i*j)%179 )*k) % 179;
      i = j;
      j = k;
      k = m;
      l = (53*l+1) % 169;
      if ( (l*m) % 64 >= 32) s += t;
      t *= 0.5;
    }
    u[ii] = s;
  }

  // Initialize other variables.
  double twom24 = 1.;
  for (int i24 = 0; i24 < 24; ++i24) twom24 *= 0.5;
  c   = 362436. * twom24;
  cd  = 7654321. * twom24;
  cm  = 16777213. * twom24;
  i97 = 96;
  j97 = 32;

  // Finished.
  initRndm  = true;
  seedSave  = seed;
  sequence  = 0;

}

//--------------------------------------------------------------------------

// Generate next random number uniformly between 0 and 1.

double Rndm::flat() {

  // Use external random number generator if such has been linked.
  if (useExternalRndm) return rndmEngPtr->flat();

  // Ensure that already initialized.
  if (!initRndm) init(DEFAULTSEED);

  // Find next random number and update saved state.
  ++sequence;
  double uni;
  do {
    uni = u[i97] - u[j97];
    if (uni < 0.) uni += 1.;
    u[i97] = uni;
    if (--i97 < 0) i97 = 96;
    if (--j97 < 0) j97 = 96;
    c -= cd;
    if (c < 0.) c += cm;
    uni -= c;
    if(uni < 0.) uni += 1.;
   } while (uni <= 0. || uni >= 1.);
  return uni;

}

//--------------------------------------------------------------------------

// Pick one option among  vector of (positive) probabilities.

int Rndm::pick(const vector& prob) {

  double work = 0.;
  for (int i = 0; i < int(prob.size()); ++i) work += prob[i];
  work *= flat();
  int index = -1;
  do work -= prob[++index];
  while (work > 0. && index < int(prob.size()));
  return index;

}

//--------------------------------------------------------------------------
 
// Save current state of the random number generator to a binary file.
 
bool Rndm::dumpState(string fileName) {

  // Open file as output stream.
  const char* fn = fileName.c_str();
  ofstream ofs(fn, ios::binary);

  if (!ofs.good()) {
    cout << " Rndm::dumpState: could not open output file" << endl;
    return false;
  }

  // Write the state of the generator on the file.
  ofs.write((char *) &seedSave, sizeof(int));
  ofs.write((char *) &sequence, sizeof(long));
  ofs.write((char *) &i97,      sizeof(int));
  ofs.write((char *) &j97,      sizeof(int));
  ofs.write((char *) &c,        sizeof(double));
  ofs.write((char *) &cd,       sizeof(double));
  ofs.write((char *) &cm,       sizeof(double));
  ofs.write((char *) &u,        sizeof(double) * 97);
 
  // Write confirmation on cout.
  cout << " PYTHIA Rndm::dumpState: seed = " << seedSave
       << ", sequence no = " << sequence << endl;
  return true;

}

//--------------------------------------------------------------------------
 
// Read in the state of the random number generator from a binary file.

bool Rndm::readState(string fileName) {

  // Open file as input stream.
  const char* fn = fileName.c_str();
  ifstream ifs(fn, ios::binary);

  if (!ifs.good()) {
    cout << " Rndm::readState: could not open input file" << endl;
    return false;
  }

  // Read the state of the generator from the file.
  ifs.read((char *) &seedSave, sizeof(int));
  ifs.read((char *) &sequence, sizeof(long));
  ifs.read((char *) &i97,      sizeof(int));
  ifs.read((char *) &j97,      sizeof(int));
  ifs.read((char *) &c,        sizeof(double));
  ifs.read((char *) &cd,       sizeof(double));
  ifs.read((char *) &cm,       sizeof(double));
  ifs.read((char *) &u,        sizeof(double) *97);

  // Write confirmation on cout.
  cout << " PYTHIA Rndm::readState: seed " << seedSave
       << ", sequence no = " << sequence << endl;
  return true;

}

//==========================================================================

// Vec4 class.
// This class implements four-vectors, in energy-momentum space.
// (But could also be used to hold space-time four-vectors.)

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Small number to avoid division by zero.
const double Vec4::TINY = 1e-20;

//--------------------------------------------------------------------------

// Rotation (simple).

void Vec4::rot(double thetaIn, double phiIn) {

  double cthe = cos(thetaIn);
  double sthe = sin(thetaIn);
  double cphi = cos(phiIn);
  double sphi = sin(phiIn);
  double tmpx =  cthe * cphi * xx -    sphi * yy + sthe * cphi * zz;
  double tmpy =  cthe * sphi * xx +    cphi * yy + sthe * sphi * zz;
  double tmpz = -sthe *        xx +                cthe *        zz;
  xx          = tmpx;
  yy          = tmpy;
  zz          = tmpz;

}

//--------------------------------------------------------------------------

// Azimuthal rotation phi around an arbitrary axis (nz, ny, nz).

void Vec4::rotaxis(double phiIn, double nx, double ny, double nz) {

  double norm = 1./sqrt(nx*nx + ny*ny + nz*nz);
  nx         *= norm;
  ny         *= norm;
  nz         *= norm;
  double cphi = cos(phiIn);
  double sphi = sin(phiIn);
  double comb = (nx * xx + ny * yy + nz * zz) * (1. - cphi);
  double tmpx = cphi * xx + comb * nx + sphi * (ny * zz - nz * yy);
  double tmpy = cphi * yy + comb * ny + sphi * (nz * xx - nx * zz);
  double tmpz = cphi * zz + comb * nz + sphi * (nx * yy - ny * xx);
  xx          = tmpx;
  yy          = tmpy;
  zz          = tmpz;

}

//--------------------------------------------------------------------------

// Azimuthal rotation phi around an arbitrary (3-vector component of) axis.

void Vec4::rotaxis(double phiIn, const Vec4& n) {

  double nx   = n.xx;
  double ny   = n.yy;
  double nz   = n.zz;
  double norm = 1./sqrt(nx*nx + ny*ny + nz*nz);
  nx         *= norm;
  ny          *=norm;
  nz          *=norm;
  double cphi = cos(phiIn);
  double sphi = sin(phiIn);
  double comb = (nx * xx + ny * yy + nz * zz) * (1. - cphi);
  double tmpx = cphi * xx + comb * nx + sphi * (ny * zz - nz * yy);
  double tmpy = cphi * yy + comb * ny + sphi * (nz * xx - nx * zz);
  double tmpz = cphi * zz + comb * nz + sphi * (nx * yy - ny * xx);
  xx          = tmpx;
  yy          = tmpy;
  zz          = tmpz;

}

//--------------------------------------------------------------------------

// Boost (simple).

void Vec4::bst(double betaX, double betaY, double betaZ) {

  double beta2 = betaX*betaX + betaY*betaY + betaZ*betaZ;
  double gamma = 1. / sqrt(1. - beta2);
  double prod1 = betaX * xx + betaY * yy + betaZ * zz;
  double prod2 = gamma * (gamma * prod1 / (1. + gamma) + tt);
  xx += prod2 * betaX;
  yy += prod2 * betaY;
  zz += prod2 * betaZ;
  tt = gamma * (tt + prod1);

}

//--------------------------------------------------------------------------

// Boost (simple, given gamma).

void Vec4::bst(double betaX, double betaY, double betaZ, double gamma) {

  double prod1 = betaX * xx + betaY * yy + betaZ * zz;
  double prod2 = gamma * (gamma * prod1 / (1. + gamma) + tt);
  xx += prod2 * betaX;
  yy += prod2 * betaY;
  zz += prod2 * betaZ;
  tt = gamma * (tt + prod1);

}

//--------------------------------------------------------------------------

// Boost given by a Vec4 p.

void Vec4::bst(const Vec4& pIn) {

  double betaX = pIn.xx / pIn.tt;
  double betaY = pIn.yy / pIn.tt;
  double betaZ = pIn.zz / pIn.tt;
  double beta2 = betaX*betaX + betaY*betaY + betaZ*betaZ;
  double gamma = 1. / sqrt(1. - beta2);
  double prod1 = betaX * xx + betaY * yy + betaZ * zz;
  double prod2 = gamma * (gamma * prod1 / (1. + gamma) + tt);
  xx          += prod2 * betaX;
  yy          += prod2 * betaY;
  zz          += prod2 * betaZ;
  tt           = gamma * (tt + prod1);

}

//--------------------------------------------------------------------------

// Boost given by a Vec4 p and double m.

void Vec4::bst(const Vec4& pIn, double mIn) {

  double betaX = pIn.xx / pIn.tt;
  double betaY = pIn.yy / pIn.tt;
  double betaZ = pIn.zz / pIn.tt;
  double gamma = pIn.tt / mIn;
  double prod1 = betaX * xx + betaY * yy + betaZ * zz;
  double prod2 = gamma * (gamma * prod1 / (1. + gamma) + tt);
  xx          += prod2 * betaX;
  yy          += prod2 * betaY;
  zz          += prod2 * betaZ;
  tt           = gamma * (tt + prod1);

}

//--------------------------------------------------------------------------

// Boost given by a Vec4 p; boost in opposite direction.

void Vec4::bstback(const Vec4& pIn) {

  double betaX = -pIn.xx / pIn.tt;
  double betaY = -pIn.yy / pIn.tt;
  double betaZ = -pIn.zz / pIn.tt;
  double beta2 = betaX*betaX + betaY*betaY + betaZ*betaZ;
  double gamma = 1. / sqrt(1. - beta2);
  double prod1 = betaX * xx + betaY * yy + betaZ * zz;
  double prod2 = gamma * (gamma * prod1 / (1. + gamma) + tt);
  xx          += prod2 * betaX;
  yy          += prod2 * betaY;
  zz          += prod2 * betaZ;
  tt           = gamma * (tt + prod1);

}

//--------------------------------------------------------------------------

// Boost given by a Vec4 p and double m; boost in opposite direction.

void Vec4::bstback(const Vec4& pIn, double mIn) {

  double betaX = -pIn.xx / pIn.tt;
  double betaY = -pIn.yy / pIn.tt;
  double betaZ = -pIn.zz / pIn.tt;
  double gamma = pIn.tt / mIn;
  double prod1 = betaX * xx + betaY * yy + betaZ * zz;
  double prod2 = gamma * (gamma * prod1 / (1. + gamma) + tt);
  xx          += prod2 * betaX;
  yy          += prod2 * betaY;
  zz          += prod2 * betaZ;
  tt           = gamma * (tt + prod1);

}

//--------------------------------------------------------------------------

// Arbitrary combination of rotations and boosts defined by 4 * 4 matrix.

void Vec4::rotbst(const RotBstMatrix& M) {

  double x = xx; double y = yy; double z = zz; double t = tt;
  tt = M.M[0][0] * t + M.M[0][1] * x + M.M[0][2] * y +  M.M[0][3] * z;
  xx = M.M[1][0] * t + M.M[1][1] * x + M.M[1][2] * y +  M.M[1][3] * z;
  yy = M.M[2][0] * t + M.M[2][1] * x + M.M[2][2] * y +  M.M[2][3] * z;
  zz = M.M[3][0] * t + M.M[3][1] * x + M.M[3][2] * y +  M.M[3][3] * z;

}

//--------------------------------------------------------------------------

// The invariant mass of two four-vectors.

double m(const Vec4& v1, const Vec4& v2) {
  double m2 = pow2(v1.tt + v2.tt) - pow2(v1.xx + v2.xx)
     - pow2(v1.yy + v2.yy) - pow2(v1.zz + v2.zz);
  return (m2 > 0.) ? sqrt(m2) : 0.;
}

//--------------------------------------------------------------------------

// The squared invariant mass of two four-vectors.

double m2(const Vec4& v1, const Vec4& v2) {
  double m2 = pow2(v1.tt + v2.tt) - pow2(v1.xx + v2.xx)
     - pow2(v1.yy + v2.yy) - pow2(v1.zz + v2.zz);
  return m2;
}

//--------------------------------------------------------------------------

// The scalar product of two three-vectors.

double dot3(const Vec4& v1, const Vec4& v2) {
  return v1.xx*v2.xx + v1.yy*v2.yy + v1.zz*v2.zz;
}

//--------------------------------------------------------------------------

// The cross product of two three-vectors.

Vec4 cross3(const Vec4& v1, const Vec4& v2) {
  Vec4 v;
  v.xx = v1.yy * v2.zz - v1.zz * v2.yy;
  v.yy = v1.zz * v2.xx - v1.xx * v2.zz;
  v.zz = v1.xx * v2.yy - v1.yy * v2.xx; return v;
}

//--------------------------------------------------------------------------

// Opening angle between two three-vectors.

double theta(const Vec4& v1, const Vec4& v2) {
  double cthe = (v1.xx * v2.xx + v1.yy * v2.yy + v1.zz * v2.zz)
    / sqrt( (v1.xx*v1.xx + v1.yy*v1.yy + v1.zz*v1.zz)
    * (v2.xx*v2.xx + v2.yy*v2.yy + v2.zz*v2.zz) );
  cthe = max(-1., min(1., cthe));
  return acos(cthe);
}

//--------------------------------------------------------------------------

// Cosine of the opening angle between two three-vectors.

double costheta(const Vec4& v1, const Vec4& v2) {
  double cthe = (v1.xx * v2.xx + v1.yy * v2.yy + v1.zz * v2.zz)
    / sqrt( (v1.xx*v1.xx + v1.yy*v1.yy + v1.zz*v1.zz)
    * (v2.xx*v2.xx + v2.yy*v2.yy + v2.zz*v2.zz) );
  cthe = max(-1., min(1., cthe));
  return cthe;
}

//--------------------------------------------------------------------------

// Azimuthal angle between two three-vectors.

double phi(const Vec4& v1, const Vec4& v2) {
  double cphi = (v1.xx * v2.xx + v1.yy * v2.yy) / sqrt( max( Vec4::TINY,
    (v1.xx*v1.xx + v1.yy*v1.yy) * (v2.xx*v2.xx + v2.yy*v2.yy) ));
  cphi = max(-1., min(1., cphi));
  return acos(cphi);
}

//--------------------------------------------------------------------------

// Cosine of the azimuthal angle between two three-vectors.

double cosphi(const Vec4& v1, const Vec4& v2) {
  double cphi = (v1.xx * v2.xx + v1.yy * v2.yy) / sqrt( max( Vec4::TINY,
    (v1.xx*v1.xx + v1.yy*v1.yy) * (v2.xx*v2.xx + v2.yy*v2.yy) ));
  cphi = max(-1., min(1., cphi));
  return cphi;
}

//--------------------------------------------------------------------------

// Azimuthal angle between two three-vectors around a third.

double phi(const Vec4& v1, const Vec4& v2, const Vec4& n) {
  double nx = n.xx; double ny = n.yy; double nz = n.zz;
  double norm = 1. / sqrt(nx*nx + ny*ny + nz*nz);
  nx *= norm; ny *=norm; nz *=norm;
  double v1s = v1.xx * v1.xx + v1.yy * v1.yy + v1.zz * v1.zz;
  double v2s = v2.xx * v2.xx + v2.yy * v2.yy + v2.zz * v2.zz;
  double v1v2 = v1.xx * v2.xx + v1.yy * v2.yy + v1.zz * v2.zz;
  double v1n = v1.xx * nx + v1.yy * ny + v1.zz * nz;
  double v2n = v2.xx * nx + v2.yy * ny + v2.zz * nz;
  double cphi = (v1v2 - v1n * v2n) / sqrt( max( Vec4::TINY,
    (v1s - v1n*v1n) * (v2s - v2n*v2n) ));
  cphi = max(-1., min(1., cphi));
  return acos(cphi);
}

//--------------------------------------------------------------------------

// Cosine of the azimuthal angle between two three-vectors around a third.

double cosphi(const Vec4& v1, const Vec4& v2, const Vec4& n) {
  double nx = n.xx; double ny = n.yy; double nz = n.zz;
  double norm = 1. / sqrt(nx*nx + ny*ny + nz*nz);
  nx *= norm; ny *=norm; nz *=norm;
  double v1s = v1.xx * v1.xx + v1.yy * v1.yy + v1.zz * v1.zz;
  double v2s = v2.xx * v2.xx + v2.yy * v2.yy + v2.zz * v2.zz;
  double v1v2 = v1.xx * v2.xx + v1.yy * v2.yy + v1.zz * v2.zz;
  double v1n = v1.xx * nx + v1.yy * ny + v1.zz * nz;
  double v2n = v2.xx * nx + v2.yy * ny + v2.zz * nz;
  double cphi = (v1v2 - v1n * v2n) / sqrt( max( Vec4::TINY,
    (v1s - v1n*v1n) * (v2s - v2n*v2n) ));
  cphi = max(-1., min(1., cphi));
  return cphi;
}

//--------------------------------------------------------------------------

// Distance in cylindrical (y, phi) coordinates.
 
double RRapPhi(const Vec4& v1, const Vec4& v2) {
  double dRap = abs(v1.rap() - v2.rap());
  double dPhi = abs(v1.phi() - v2.phi());
  if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
  return sqrt(dRap*dRap + dPhi*dPhi);
}

//--------------------------------------------------------------------------

// Distance in cylindrical (eta, phi) coordinates.
 
double REtaPhi(const Vec4& v1, const Vec4& v2) {
  double dEta = abs(v1.eta() - v2.eta());
  double dPhi = abs(v1.phi() - v2.phi());
  if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
  return sqrt(dEta*dEta + dPhi*dPhi);
}
  
//--------------------------------------------------------------------------

// Print a four-vector: also operator overloading with friend.

ostream& operator<<(ostream& os, const Vec4& v) {
  os << fixed << setprecision(3) << " " << setw(9) << v.xx << " "
     << setw(9) << v.yy << " " << setw(9) << v.zz << " " << setw(9)
     << v.tt << " (" << setw(9) << v.mCalc() << ")\n";
  return os;
}

//==========================================================================

// RotBstMatrix class.
// This class implements 4 * 4 matrices that encode an arbitrary combination
// of rotations and boosts, that can be applied to Vec4 four-vectors.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Small number to avoid division by zero.
const double RotBstMatrix::TINY = 1e-20;

//--------------------------------------------------------------------------

// Rotate by polar angle theta and azimuthal angle phi.

void RotBstMatrix::rot(double theta, double phi) {

  // Set up rotation matrix.
  double cthe = cos(theta);
  double sthe = sin(theta);
  double cphi = cos(phi);
  double sphi = sin(phi);
  double Mrot[4][4] = {
    {1.,           0.,         0.,          0.},
    {0.,  cthe * cphi,     - sphi, sthe * cphi},
    {0.,  cthe * sphi,       cphi, sthe * sphi},
    {0., -sthe,                0., cthe       } };

  // Rotate current matrix accordingly.
  double Mtmp[4][4];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    Mtmp[i][j] = M[i][j];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    M[i][j] = Mrot[i][0] * Mtmp[0][j] + Mrot[i][1] * Mtmp[1][j]
            + Mrot[i][2] * Mtmp[2][j] + Mrot[i][3] * Mtmp[3][j];

}

//--------------------------------------------------------------------------

// Rotate so that vector originally along z axis becomes parallel with p.

void RotBstMatrix::rot(const Vec4& p) {

  double theta = p.theta();
  double phi = p.phi();
  rot(0., -phi);
  rot(theta, phi);

}

//--------------------------------------------------------------------------

// Boost with velocity vector (betaX, betaY, betaZ).

void RotBstMatrix::bst(double betaX, double betaY, double betaZ) {

  // Set up boost matrix.
  double gm = 1. / sqrt( max( TINY, 1. - betaX*betaX - betaY*betaY
    - betaZ*betaZ ) );
  double gf = gm*gm / (1. + gm);
  double Mbst[4][4] = {
    { gm,           gm*betaX,           gm*betaY,          gm*betaZ },
    { gm*betaX, 1. + gf*betaX*betaX, gf*betaX*betaY, gf*betaX*betaZ },
    { gm*betaY, gf*betaY*betaX, 1. + gf*betaY*betaY, gf*betaY*betaZ },
    { gm*betaZ, gf*betaZ*betaX, gf*betaZ*betaY, 1. + gf*betaZ*betaZ } };

  // Boost current matrix correspondingly.
  double Mtmp[4][4];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    Mtmp[i][j] = M[i][j];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    M[i][j] = Mbst[i][0] * Mtmp[0][j] + Mbst[i][1] * Mtmp[1][j]
            + Mbst[i][2] * Mtmp[2][j] + Mbst[i][3] * Mtmp[3][j];

}

//--------------------------------------------------------------------------

// Boost so that vector originally at rest obtains same velocity as p.

void RotBstMatrix::bst(const Vec4& p) {
  double betaX = p.px() / p.e();
  double betaY = p.py() / p.e();
  double betaZ = p.pz() / p.e();
  bst(betaX, betaY, betaZ);
}

//--------------------------------------------------------------------------

// Boost so vector originally with same velocity as p is brought to rest.

void RotBstMatrix::bstback(const Vec4& p) {
  double betaX = -p.px() / p.e();
  double betaY = -p.py() / p.e();
  double betaZ = -p.pz() / p.e();
  bst(betaX, betaY, betaZ);
}

//--------------------------------------------------------------------------

// Boost that transforms p1 to p2, where p1^2 = p2^2 is assumed.

void RotBstMatrix::bst(const Vec4& p1, const Vec4& p2) {
  double eSum = p1.e() + p2.e();
  double betaX = (p2.px() - p1.px()) / eSum;
  double betaY = (p2.py() - p1.py()) / eSum;
  double betaZ = (p2.pz() - p1.pz()) / eSum;
  double fac = 2. / (1. + betaX*betaX + betaY*betaY + betaZ*betaZ);
  betaX *= fac; betaY *= fac; betaZ *= fac;
  bst(betaX, betaY, betaZ);
}

//--------------------------------------------------------------------------

// Boost and rotation that transforms from p1 and p2
// to their rest frame with p1 along +z axis.

void RotBstMatrix::toCMframe(const Vec4& p1, const Vec4& p2) {
  Vec4 pSum = p1 + p2;
  Vec4 dir  = p1;
  dir.bstback(pSum);
  double theta = dir.theta();
  double phi   = dir.phi();
  bstback(pSum);
  rot(0., -phi);
  rot(-theta, phi);
}

//--------------------------------------------------------------------------

// Rotation and boost that transforms from rest frame of p1 and p2
// with p1 along +z axis to actual frame of p1 and p2. (Inverse of above.)

void RotBstMatrix::fromCMframe(const Vec4& p1, const Vec4& p2) {
  Vec4 pSum = p1 + p2;
  Vec4 dir  = p1;
  dir.bstback(pSum);
  double theta = dir.theta();
  double phi   = dir.phi();
  rot(0., -phi);
  rot(theta, phi);
  bst(pSum);
}

//--------------------------------------------------------------------------

// Combine existing rotation/boost matrix with another one.

void RotBstMatrix::rotbst(const RotBstMatrix& Mrb) {
  double Mtmp[4][4];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    Mtmp[i][j] = M[i][j];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    M[i][j] = Mrb.M[i][0] * Mtmp[0][j] + Mrb.M[i][1] * Mtmp[1][j]
            + Mrb.M[i][2] * Mtmp[2][j] + Mrb.M[i][3] * Mtmp[3][j];
}

//--------------------------------------------------------------------------

// Invert the rotation and boost.

void RotBstMatrix::invert() {
  double Mtmp[4][4];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    Mtmp[i][j] = M[i][j];
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    M[i][j] = ( (i == 0 && j > 0) || (i > 0 && j == 0) )
      ? - Mtmp[j][i] : Mtmp[j][i];
}

//--------------------------------------------------------------------------

// Reset to diagonal matrix.

void RotBstMatrix::reset() {
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    M[i][j] = (i==j) ? 1. : 0.;
}

//--------------------------------------------------------------------------

// Crude estimate deviation from unit matrix.

double RotBstMatrix::deviation() const {
  double devSum = 0.;
  for (int i = 0; i < 4; ++i)
  for (int j = 0; j < 4; ++j)
    devSum += (i==j) ? abs(M[i][j] - 1.) : abs(M[i][j]);
  return devSum;
}

//--------------------------------------------------------------------------

// Print a rotation and boost matrix: operator overloading with friend.

ostream& operator<<(ostream& os, const RotBstMatrix& M) {
  os << fixed << setprecision(5) << "    Rotation/boost matrix: \n";
  for (int i = 0; i <4; ++i)
    os << setw(10) << M.M[i][0] << setw(10) << M.M[i][1]
       << setw(10) << M.M[i][2] << setw(10) << M.M[i][3] << "\n";
  return os;
}

//==========================================================================

// Hist class.
// This class handles a single histogram at a time
// (or a vector of histograms).

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maximum number of bins in a histogram.
const int    Hist::NBINMAX   = 1000;

// Maximum number of columns that can be printed for a histogram.
const int    Hist::NCOLMAX   = 100;

// Maximum number of lines a histogram can use at output.
const int    Hist::NLINES    = 30;

// Tolerance in deviation of xMin and xMax between two histograms.
const double Hist::TOLERANCE = 0.001;

// Small and large numbers to avoid division by zero and overflow.
const double Hist::TINY      = 1e-20;
const double Hist::LARGE     = 1e20;

// When minbin/maxbin < SMALLFRAC the y scale goes down to zero.
const double Hist::SMALLFRAC = 0.1;

// Constants for printout: fixed steps on y scale; filling characters.
const double DYAC[] = {0.04, 0.05, 0.06, 0.08, 0.10,
  0.12, 0.15, 0.20, 0.25, 0.30};
const char NUMBER[] = {'0', '1', '2', '3', '4', '5',
  '6', '7', '8', '9', 'X' };

//--------------------------------------------------------------------------

// Book a histogram.

void Hist::book(string titleIn, int nBinIn, double xMinIn,
  double xMaxIn) {

  title = titleIn;
  nBin  = nBinIn;
  if (nBinIn < 1) nBin = 1;
  if (nBinIn > NBINMAX) nBin = NBINMAX;
  xMin  = xMinIn;
  xMax  = xMaxIn;
  dx    = (xMax - xMin)/nBin;
  res.resize(nBin);
  null();

}

//--------------------------------------------------------------------------

// Reset bin contents.

void Hist::null() {

  nFill  = 0;
  under  = 0.;
  inside = 0.;
  over   = 0.;
  for (int ix = 0; ix < nBin; ++ix) res[ix] = 0.;

}

//--------------------------------------------------------------------------

// Fill bin with weight.

void Hist::fill(double x, double w) {
  
  ++nFill;
  int iBin = int(floor((x - xMin)/dx));
  if (iBin < 0)          under += w;
  else if (iBin >= nBin) over  += w;
  else                 {inside += w; res[iBin] += w; }

}

//--------------------------------------------------------------------------

// Print a histogram: also operator overloading with friend.

ostream& operator<<(ostream& os, const Hist& h) {

  // Do not print empty histograms.
  if (h.nFill <= 0) return os;

  // Write time and title.
  time_t t = time(0);
  char date[18];
  strftime(date,18,"%Y-%m-%d %H:%M",localtime(&t));
  os << "\n\n  " << date << "       " << h.title << "\n\n";

  // Group bins, where required, to make printout have fewer columns.
  // Avoid overflow.
  int nGroup = 1 + (h.nBin - 1) / Hist::NCOLMAX;
  int nCol   = 1 + (h.nBin - 1) / nGroup;
  vector resCol(nCol);
  for (int iCol = 0; iCol < nCol; ++iCol) {
    resCol[iCol] = 0.;
    for (int ix = nGroup * iCol; ix < min( h.nBin, nGroup * (iCol + 1)); ++ix)
      resCol[iCol] += h.res[ix];
    resCol[iCol] = max( -Hist::LARGE, min( Hist::LARGE, resCol[iCol] ) );
  }

  // Find minimum and maximum bin content.
  double yMin = resCol[0];
  double yMax = resCol[0];
  for (int iCol = 1; iCol < nCol; ++iCol) {
    if (resCol[iCol] < yMin) yMin = resCol[iCol];
    if (resCol[iCol] > yMax) yMax = resCol[iCol];
  }

  // Determine scale and step size for y axis.
  if (yMax - yMin > Hist::NLINES * DYAC[0] * 1e-9) {
    if (yMin > 0. && yMin < Hist::SMALLFRAC * yMax) yMin = 0.;
    if (yMax < 0. && yMax > Hist::SMALLFRAC * yMin) yMax = 0.;
    int iPowY = int(floor( log10(yMax - yMin) ));
    if (yMax - yMin < Hist::NLINES * DYAC[0] * pow(10.,iPowY))
      iPowY = iPowY - 1;
    if (yMax - yMin > Hist::NLINES * DYAC[9] * pow(10.,iPowY))
      iPowY = iPowY + 1;
    double nLinePow = Hist::NLINES * pow(10.,iPowY);
    double delY = DYAC[0];
    for (int idel = 0; idel < 9; ++idel)
      if (yMax - yMin >= nLinePow * DYAC[idel]) delY = DYAC[idel+1];
    double dy = delY * pow(10.,iPowY);

    // Convert bin contents to integer form; fractional fill in top row.
    vector row(nCol);
    vector frac(nCol);
    for (int iCol = 0; iCol < nCol ; ++iCol) {
      double cta = abs(resCol[iCol]) / dy;
      row[iCol] = int(cta + 0.95);
      if(resCol[iCol] < 0.) row[iCol] = - row[iCol];
      frac[iCol] = int(10. * (cta + 1.05 - floor(cta + 0.95)));
    }
    int rowMin = int(abs(yMin)/dy + 0.95);
    if ( yMin < 0) rowMin = - rowMin;
    int rowMax = int(abs(yMax)/dy + 0.95);
    if ( yMax < 0) rowMax = - rowMax;

    // Print histogram row by row.
    os << fixed << setprecision(2);
    for (int iRow = rowMax; iRow >= rowMin; iRow--) if (iRow != 0) {
      os << "  " << setw(10) << iRow*delY << "*10^"
         << setw(2) << iPowY << "  ";
      for (int iCol = 0; iCol < nCol ; ++iCol) {
        if (iRow == row[iCol])                  os << NUMBER[frac[iCol]];
        else if (iRow * (row[iCol] - iRow) > 0) os << NUMBER[10];
        else                                    os << " ";
      } os << "\n";
    } os << "\n";

    // Print sign and value of bin contents
    double maxim = log10(max(yMax, -yMin));
    int iPowBin = int(floor(maxim + 0.0001));
    os << "          Contents  ";
    for (int iCol = 0; iCol < nCol ; ++iCol) {
      if (resCol[iCol] < - pow(10., iPowBin - 4)) os << "-";
      else os << " ";
      row[iCol] = int(abs(resCol[iCol]) * pow(10., 3 - iPowBin) + 0.5);
    } os << "\n";
    for (int iRow = 3; iRow >= 0; iRow--) {
      os << "            *10^" << setw(2) << iPowBin + iRow - 3 << "  ";
      int mask = int( pow(10., iRow) + 0.5);
      for (int iCol = 0; iCol < nCol ; ++iCol) {
        os << NUMBER[(row[iCol] / mask) % 10];
      } os << "\n";
    } os << "\n";

    // Print sign and value of lower bin edge.
    maxim = log10( max( -h.xMin, h.xMax - h.dx));
    int iPowExp = int(floor(maxim + 0.0001));
    os << "          Low edge  ";
    for (int iCol = 0; iCol < nCol ; ++iCol) {
      if (h.xMin + iCol * nGroup * h.dx < - pow(10., iPowExp - 3)) os << "-";
      else os << " ";
      row[iCol] = int(abs(h.xMin + iCol * nGroup * h.dx)
        * pow(10., 2 - iPowExp) + 0.5);
    } os << "\n";
    for (int iRow = 2; iRow >= 0; iRow--) {
      os << "            *10^" << setw(2) << iPowExp + iRow - 2 << "  ";
      int mask = int( pow(10., iRow) + 0.5);
      for (int iCol = 0; iCol < nCol ; ++iCol)
        os << NUMBER[(row[iCol] / mask) % 10];
      os << "\n";
    } os << "\n";

  // Print explanation if histogram cannot be shown.
  } else os << "     Histogram not shown since lowest value" << scientific
       << setprecision(4) << setw(12) << yMin << " and highest value"
       << setw(12) << yMax << " are too close \n \n";
 
  // Calculate and print statistics.
  double cSum   = 0.;
  double cxSum  = 0.;
  double cxxSum = 0.;
  for (int ix = 0; ix < h.nBin ; ++ix) {
    double cta = abs(h.res[ix]);
    double x = h.xMin + (ix + 0.5) * h.dx;
    cSum   = cSum   + cta;
    cxSum  = cxSum  + cta * x;
    cxxSum = cxxSum + cta * x * x;
  }
  double xmean = cxSum / max(cSum, Hist::TINY);
  double rms = sqrtpos( cxxSum / max(cSum, Hist::TINY) - xmean*xmean );
  os << scientific << setprecision(4)
     << "   Entries  =" << setw(12) << h.nFill
     << "    Mean =" << setw(12) << xmean
     << "    Underflow =" << setw(12) << h.under
     << "    Low edge  =" << setw(12) << h.xMin << "\n"
     << "   All chan =" << setw(12) << h.inside
     << "    Rms  =" << setw(12) << rms
     << "    Overflow  =" << setw(12) << h.over
     << "    High edge =" << setw(12) << h.xMax << endl;
  return os;
}

//--------------------------------------------------------------------------

// Print histogram contents as a table (e.g. for Gnuplot).

void Hist::table(ostream& os, bool printOverUnder, bool xMidBin) const {

  // Print histogram vector bin by bin, with mean x as first column.
  os << scientific << setprecision(4);
  double xBeg = (xMidBin) ? xMin + 0.5 * dx : xMin;
  if (printOverUnder)
    os << setw(12) << xBeg - dx << setw(12) << under << "\n";
  for (int ix = 0; ix < nBin; ++ix)
    os << setw(12) << xBeg + ix * dx << setw(12) << res[ix] << "\n";
  if (printOverUnder)
    os << setw(12) << xBeg + nBin * dx << setw(12) << over << "\n";
   
}

//--------------------------------------------------------------------------

// Print a table out of two histograms with same x axis  (e.g. for Gnuplot).

void table(const Hist& h1, const Hist& h2, ostream& os, bool printOverUnder,
  bool xMidBin) {

  // Require histogram x axes to agree.
  if (h1.nBin != h2.nBin || abs(h1.xMin - h2.xMin) > Hist::TOLERANCE * h1.dx
    || abs(h1.xMax - h2.xMax) > Hist::TOLERANCE * h1.dx) return;

  // Print histogram vectors bin by bin, with mean x as first column.
  os << scientific << setprecision(4);
  double xBeg = (xMidBin) ? h1.xMin + 0.5 * h1.dx : h1.xMin;
  if (printOverUnder)
    os << setw(12) << xBeg - h1.dx << setw(12) << h1.under 
       << setw(12) << h2.under << "\n";
  for (int ix = 0; ix < h1.nBin; ++ix)
    os << setw(12) << xBeg + ix * h1.dx << setw(12) << h1.res[ix] 
       << setw(12) << h2.res[ix] << "\n";
  if (printOverUnder)
    os << setw(12) << xBeg + h1.nBin * h1.dx << setw(12) << h1.over 
       << setw(12) << h2.over << "\n";
   
}

void table(const Hist& h1, const Hist& h2, string fileName,
  bool printOverUnder, bool xMidBin) {
  
  ofstream streamName(fileName.c_str());
  table( h1, h2, streamName, printOverUnder, xMidBin);

}

//--------------------------------------------------------------------------

// Get content of specific bin.
// Special values are bin 0 for underflow and bin nBin+1 for overflow.
// All other bins outside proper histogram range return 0.

double Hist::getBinContent(int iBin) const {

  if (iBin > 0 && iBin <= nBin) return res[iBin - 1];
  else if (iBin == 0)           return under;
  else if (iBin == nBin + 1)    return over;
  else                          return 0.;

}

//--------------------------------------------------------------------------

// Check whether another histogram has same size and limits.

bool Hist::sameSize(const Hist& h) const {

  if (nBin == h.nBin && abs(xMin - h.xMin) < TOLERANCE * dx &&
    abs(xMax - h.xMax) < TOLERANCE * dx) return true;
  else return false;

}

//--------------------------------------------------------------------------

// Take 10-logarithm or natural logarithm of contents bin by bin.

void Hist::takeLog(bool tenLog) {

  // Find smallest positive bin content, and put min a bit below.
  double yMin = Hist::LARGE;
  for (int ix = 0; ix < nBin; ++ix)
    if (res[ix] > Hist::TINY && res[ix] < yMin ) yMin = res[ix];
  yMin *= 0.8;
  
  // Take 10-logarithm bin by bin, but ensure positivity.
  if (tenLog) {
    for (int ix = 0; ix < nBin; ++ix)
      res[ix] = log10( max( yMin, res[ix]) );
    under  =  log10( max( yMin, under) );
    inside =  log10( max( yMin, inside) );
    over   =  log10( max( yMin, over) );
  
  // Take natural logarithm bin by bin, but ensure positivity.
  } else {
    for (int ix = 0; ix < nBin; ++ix)
      res[ix] = log( max( yMin, res[ix]) );
    under  =  log( max( yMin, under) );
    inside =  log( max( yMin, inside) );
    over   =  log( max( yMin, over) );
  }

}

//--------------------------------------------------------------------------

// Take square root of contents bin by bin; set 0 for negative content.

void Hist::takeSqrt() {

  for (int ix = 0; ix < nBin; ++ix) res[ix] = sqrtpos(res[ix]);
  under  = sqrtpos(under);
  inside = sqrtpos(inside);
  over   = sqrtpos(over);

}
 
//--------------------------------------------------------------------------

// Add histogram to existing one.

Hist& Hist::operator+=(const Hist& h) {
  if (!sameSize(h)) return *this;
  nFill  += h.nFill;
  under  += h.under;
  inside += h.inside;
  over += h.over;
  for (int ix = 0; ix < nBin; ++ix) res[ix] += h.res[ix];
  return *this;
}

//--------------------------------------------------------------------------

// Subtract histogram from existing one.

Hist& Hist::operator-=(const Hist& h) {
  if (!sameSize(h)) return *this;
  nFill  += h.nFill;
  under  -= h.under;
  inside -= h.inside;
  over -= h.over;
  for (int ix = 0; ix < nBin; ++ix) res[ix] -= h.res[ix];
  return *this;
}

//--------------------------------------------------------------------------

// Multiply existing histogram by another one.

Hist& Hist::operator*=(const Hist& h) {
  if (!sameSize(h)) return *this;
  nFill   += h.nFill;
  under  *= h.under;
  inside *= h.inside;
  over *= h.over;
  for (int ix = 0; ix < nBin; ++ix) res[ix] *= h.res[ix];
  return *this;
}

//--------------------------------------------------------------------------

// Divide existing histogram by another one.

Hist& Hist::operator/=(const Hist& h) {
  if (!sameSize(h)) return *this;
  nFill += h.nFill;
  under  = (abs(h.under) < Hist::TINY) ? 0. : under/h.under;
  inside = (abs(h.inside) < Hist::TINY) ? 0. : inside/h.inside;
  over  = (abs(h.over) < Hist::TINY) ? 0. : over/h.over;
  for (int ix = 0; ix < nBin; ++ix)
    res[ix] = (abs(h.res[ix]) < Hist::TINY) ? 0. : res[ix]/h.res[ix];
  return *this;
}

//--------------------------------------------------------------------------

// Add constant offset to histogram.

Hist& Hist::operator+=(double f) {
  under  += f;
  inside += nBin * f;
  over   += f;
  for (int ix = 0; ix < nBin; ++ix) res[ix] += f;
  return *this;
}

//--------------------------------------------------------------------------

// Subtract constant offset from histogram.

Hist& Hist::operator-=(double f) {
  under  -= f;
  inside -= nBin * f;
  over   -= f;
  for (int ix = 0; ix < nBin; ++ix) res[ix] -= f;
  return *this;
}

//--------------------------------------------------------------------------

// Multiply histogram by constant.

Hist& Hist::operator*=(double f) {
  under  *= f;
  inside *= f;
  over   *= f;
  for (int ix = 0; ix < nBin; ++ix) res[ix] *= f;
  return *this;
}

//--------------------------------------------------------------------------

// Divide histogram by constant.

Hist& Hist::operator/=(double f) {
  if (abs(f) > Hist::TINY) {
    under  /= f;
    inside /= f;
    over   /= f;
    for (int ix = 0; ix < nBin; ++ix) res[ix] /= f;
  // Set empty contents when division by zero.
  } else {
    under  = 0.;
    inside = 0.;
    over   = 0.;
    for (int ix = 0; ix < nBin; ++ix) res[ix] = 0.;
  }
  return *this;
}

//--------------------------------------------------------------------------

// Implementation of operator overloading with friends.

Hist operator+(double f, const Hist& h1) {
  Hist h = h1; return h += f;}

Hist operator+(const Hist& h1, double f) {
  Hist h = h1; return h += f;}

Hist operator+(const Hist& h1, const Hist& h2) {
  Hist h = h1; return h += h2;}

Hist operator-(double f, const Hist& h1) {
  Hist h   = h1;
  h.under  = f - h1.under;
  h.inside = h1.nBin * f - h1.inside;
  h.over   = f - h1.over;
  for (int ix = 0; ix < h1.nBin; ++ix) h.res[ix] = f - h1.res[ix];
  return h;}

Hist operator-(const Hist& h1, double f) {
  Hist h = h1; return h -= f;}

Hist operator-(const Hist& h1, const Hist& h2) {
  Hist h = h1; return h -= h2;}

Hist operator*(double f, const Hist& h1) {
  Hist h = h1; return h *= f;}

Hist operator*(const Hist& h1, double f) {
  Hist h = h1; return h *= f;}

Hist operator*(const Hist& h1, const Hist& h2) {
  Hist h = h1; return h *= h2;}

Hist operator/(double f, const Hist& h1) {
  Hist h = h1;
  h.under  = (abs(h1.under)  < Hist::TINY) ? 0. :  f/h1.under;
  h.inside = (abs(h1.inside) < Hist::TINY) ? 0. :  f/h1.inside;
  h.over   = (abs(h1.over)   < Hist::TINY) ? 0. :  f/h1.over;
  for (int ix = 0; ix < h1.nBin; ++ix)
    h.res[ix] = (abs(h1.res[ix]) < Hist::TINY) ? 0. : f/h1.res[ix];
  return h;
}

Hist operator/(const Hist& h1, double f) {
  Hist h = h1; return h /= f;}

Hist operator/(const Hist& h1, const Hist& h2) {
  Hist h = h1; return h /= h2;}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/HelicityBasics.cc0000644000175000017500000002341112357054761016347 0ustar  sunsun// HelicityBasics.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Philip Ilten, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for helper classes
// used in tau decays.

#include "Pythia8/HelicityBasics.h"

namespace Pythia8 {

//==========================================================================

// Wave4 class.
// Friend methods to it.

//--------------------------------------------------------------------------

// complex * Wave4.

Wave4 operator*(complex s, const Wave4& w) {
 
  return Wave4( s * w.val[0], s * w.val[1], s * w.val[2], s * w.val[3]);

}

//--------------------------------------------------------------------------

// double * Wave4.

Wave4 operator*(double s, const Wave4& w) {
 
  return Wave4( s * w.val[0], s * w.val[1], s * w.val[2], s * w.val[3]);

}

//--------------------------------------------------------------------------

// Complex conjugate.

Wave4 conj(Wave4 w) {

  w(0) = conj(w(0));
  w(1) = conj(w(1));
  w(2) = conj(w(2));
  w(3) = conj(w(3));
  return w;

}

//--------------------------------------------------------------------------

// Permutation operator.

Wave4 epsilon(Wave4 w1, Wave4 w2, Wave4 w3) {

  Wave4 w4;
  w4(0) = -(w1(1) * w2(2) * w3(3)) + (w1(1) * w2(3) * w3(2))
    + (w1(2) * w2(1) * w3(3)) - (w1(2) * w2(3) * w3(1))
    - (w1(3) * w2(1) * w3(2)) + (w1(3) * w2(2) * w3(1));
  w4(1) = -(w1(0) * w2(2) * w3(3)) + (w1(0) * w2(3) * w3(2))
    + (w1(2) * w2(0) * w3(3)) - (w1(2) * w2(3) * w3(0))
    - (w1(3) * w2(0) * w3(2)) + (w1(3) * w2(2) * w3(0));
  w4(2) = (w1(0) * w2(1) * w3(3)) - (w1(0) * w2(3) * w3(1))
    - (w1(1) * w2(0) * w3(3)) + (w1(1) * w2(3) * w3(0))
    + (w1(3) * w2(0) * w3(1)) - (w1(3) * w2(1) * w3(0));
  w4(3) = -(w1(0) * w2(1) * w3(2)) + (w1(0) * w2(2) * w3(1))
    + (w1(1) * w2(0) * w3(2)) - (w1(1) * w2(2) * w3(0))
    - (w1(2) * w2(0) * w3(1)) + (w1(2) * w2(1) * w3(0));
  return w4;

}

//--------------------------------------------------------------------------

// Invariant squared mass for REAL Wave4 (to save time).

double m2(Wave4 w) {

  return real(w(0)) * real(w(0)) - real(w(1)) * real(w(1))
    - real(w(2)) * real(w(2)) - real(w(3)) * real(w(3));

}

double m2(Wave4 w1, Wave4 w2) {

  return real(w1(0)) * real(w2(0)) - real(w1(1)) * real(w2(1))
       - real(w1(2)) * real(w2(2)) - real(w1(3)) * real(w2(3));

}

//--------------------------------------------------------------------------
    
// Print a Wave4 vector.

ostream& operator<< (ostream& os, Wave4 w) {

  os << left << setprecision(2);
  for (int i = 0; i < 4; i++) os << setw(20) << w.val[i];
  os << "\n";
  return os;

}

//==========================================================================

// Constructor for the GammaMatrix class. Gamma(1) through Gamma(3) give the
// corresponding gamma matrices using the Weyl basis as outlined in the HELAS
// paper. Gamma(4) gives the +--- metric, while Gamma(5) gives the gamma^5
// matrix.
  
GammaMatrix::GammaMatrix(int mu) {

  COMPLEXZERO = complex( 0., 0.);

  if (mu == 0) {
    val[0] =  1.; val[1] =  1.; val[2] =  1.; val[3] =  1.;
    index[0] = 2; index[1] = 3; index[2] = 0; index[3] = 1;
  
  } else if (mu == 1) {
    val[0] = -1.; val[1] = -1.; val[2]  = 1.; val[3]  = 1.;
    index[0] = 3; index[1] = 2; index[2] = 1; index[3] = 0;
  
  } else if (mu == 2) {
    val[0] = complex(0.,-1.); val[1] = complex(0.,1.);
    val[2] = complex(0.,1.);  val[3] = complex(0.,-1.);
    index[0] = 3; index[1] = 2; index[2] = 1; index[3] = 0;
  
  } else if (mu == 3) {
    val[0] = -1.; val[1] =  1.; val[2] =  1.; val[3] = -1.;
    index[0] = 2; index[1] = 3; index[2] = 0; index[3] = 1;
  
  } else if (mu == 4) {
    val[0] =  1.; val[1] = -1.; val[2] = -1.; val[3] = -1.;
    index[0] = 0; index[1] = 1; index[2] = 2; index[3] = 3;
  
  } else if (mu == 5) {
    val[0] = -1.; val[1] = -1.; val[2] =  1.; val[3] =  1.;
    index[0] = 0; index[1] = 1; index[2] = 2; index[3] = 3;
  }

}

//--------------------------------------------------------------------------

// Wave4 * GammaMatrix.

Wave4 operator*(Wave4 w, GammaMatrix g) {

  complex w0 = w(g.index[0]);
  complex w1 = w(g.index[1]);
  complex w2 = w(g.index[2]);
  complex w3 = w(g.index[3]);
  w(0) = w0 * g.val[0];
  w(1) = w1 * g.val[1];
  w(2) = w2 * g.val[2];
  w(3) = w3 * g.val[3];
  return w;

}

//--------------------------------------------------------------------------

// Scalar * GammaMatrix.

GammaMatrix operator*(complex s, GammaMatrix g) {

  g.val[0] = s * g.val[0];
  g.val[1] = s*g.val[1];
  g.val[2] = s * g.val[2];
  g.val[3] = s*g.val[3];
  return g;

}

//--------------------------------------------------------------------------

// I * Scalar - Gamma5.

GammaMatrix operator-(complex s, GammaMatrix g) {

  g.val[0] = s - g.val[0];
  g.val[1] = s - g.val[1];
  g.val[2] = s - g.val[2];
  g.val[3] = s - g.val[3];
  return g;

}

//--------------------------------------------------------------------------

// I * Scalar + Gamma5.

GammaMatrix operator+(complex s, GammaMatrix g) {

  g.val[0] = s + g.val[0];
  g.val[1] = s + g.val[1];
  g.val[2] = s + g.val[2];
  g.val[3] = s + g.val[3];
  return g;

}

//--------------------------------------------------------------------------

// Print GammaMatrix.

ostream& operator<< (ostream& os, GammaMatrix g) {

  os << left << setprecision(2);
  for (int i = 0; i < 4; i++) {
    for (int j = 0; j < 4; j++) os << setw(20) << g(i,j);
    os << "\n";
  }
  return os;

}

//==========================================================================

// Weyl helicity wave functions for spin 1/2 fermions and spin 1 boson.

// This is the basis as given by the HELAS collaboration on page 122 of
// "HELas: HELicity Amplitude Subroutines for Feynman Diagram Evaluations"
// by H. Murayama, I. Watanabe, K. Hagiwara.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.

// The spinors become ill-defined for p -> -pz and the polarization vectors
// become ill-defined when pT -> 0. For these special cases limits are used
// and are triggered when the difference of the approached quantity falls
// below the variable TOLERANCE.
const double HelicityParticle::TOLERANCE = 0.000001;

//--------------------------------------------------------------------------
 
// Return wave vector for given helicity.

Wave4 HelicityParticle::wave(int h) {

  // Create wave vector to return.
  Wave4 w;

  // Fermion (spin 1/2) spinor.
  if (spinType() == 2) {

    // Calculate helicity independent normalization.
    double P     = pAbs();
    double n     = sqrtpos(2*P*(P+pz()));
    bool aligned = (abs(P+pz()) < TOLERANCE);
    
    // Calculate eigenspinor basis.
    vector< vector > xi(2, vector(2));
    // Helicity -1
    xi[0][0] = aligned ? -1 : complex(-px(),py())/n;
    xi[0][1] = aligned ?  0 : (P+pz())/n;
    // Helicity +1
    xi[1][0] = aligned ? 0 : (P+pz())/n;
    xi[1][1] = aligned ? 1 : complex(px(),py())/n;
    
    // Calculate helicity dependent normalization.
    vector omega(2);
    omega[0] = sqrtpos(e()-P);
    omega[1] = sqrtpos(e()+P);
    vector hsign(2,1);
    hsign[0] = -1;
    
    // Create particle spinor.
    if (this->id() > 0) {
      w(0) = omega[!h] * xi[h][0];
      w(1) = omega[!h] * xi[h][1];
      w(2) = omega[h]  * xi[h][0];
      w(3) = omega[h]  * xi[h][1];
    
    // Create anti-particle spinor.
    } else {
      w(0) = hsign[!h] * omega[h]  * xi[!h][0];
      w(1) = hsign[!h] * omega[h]  * xi[!h][1];
      w(2) = hsign[h]  * omega[!h] * xi[!h][0];
      w(3) = hsign[h]  * omega[!h] * xi[!h][1];
    }

  // Boson (spin 1) polarization vector.
  } else if (spinType() == 3) {
    double P  = pAbs();
    double PT = pT();

    // Create helicity +1 or -1 polarization vector.
    if (h >= 0 && h <= 1) {
      double hsign = h ? -1 : 1;
      if (PT > TOLERANCE) {
        w(0) = 0;
        w(1) = complex(hsign * px() * pz() / (P * PT), -py() / PT);
        w(2) = complex(hsign * py() * pz() / (P * PT),  px() / PT);
        w(3) = complex(-hsign * PT / P, 0);
      } else {
        w(0) = 0;
        w(1) = hsign * pz();
        w(2) = 0;
        w(3) = 0;
      }

    // Create helicity 0 polarization vector (ensure boson massive).
    } else if (h == 2 && m() > TOLERANCE) {
        w(0) = P / m();
        w(1) = px() * e() / (m() * P);
        w(2) = py() * e() / (m() * P);
        w(3) = pz() * e() / (m() * P);
    }

  // Unknown wave function.
  } else {
    w(0) = 0;
    w(1) = 0;
    w(2) = 0;
    w(3) = 0;
  }

  // Done.
  return w;

}

//--------------------------------------------------------------------------

// Bar of a wave function.

Wave4 HelicityParticle::waveBar(int h) {

  if (spinType() == 2) return conj(wave(h)) * GammaMatrix(0);
  else                 return conj(wave(h));

}

//--------------------------------------------------------------------------

// Normalize the rho or D matrices.

void HelicityParticle::normalize(vector< vector >& matrix) {

  complex trace = 0;
  for (unsigned int i = 0; i < matrix.size(); i++) trace += matrix[i][i];
  for (unsigned int i = 0; i < matrix.size(); i++) {
    for (unsigned int j = 0; j < matrix.size(); j++) {
      if (trace != complex(0,0)) matrix[i][j] /= trace;
      else matrix[i][j] = 1 / static_cast(matrix.size());
    }
  }

}

//--------------------------------------------------------------------------

// Return the number of spin states.

  int HelicityParticle::spinStates() {

    int sT = spinType();
    if (sT == 0) return 1;
    else if (sT != 2 && m() < TOLERANCE) return sT - 1;
    else return sT;

  }

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/ProcessContainer.cc0000644000175000017500000031056012357054762016736 0ustar  sunsun// ProcessContainer.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// ProcessContainer and SetupContainers classes.

#include "Pythia8/ProcessContainer.h"

// Internal headers for special processes.
#include "Pythia8/SigmaCompositeness.h"
#include "Pythia8/SigmaEW.h"
#include "Pythia8/SigmaExtraDim.h"
#include "Pythia8/SigmaGeneric.h"
#include "Pythia8/SigmaHiggs.h"
#include "Pythia8/SigmaLeftRightSym.h"
#include "Pythia8/SigmaLeptoquark.h"
#include "Pythia8/SigmaNewGaugeBosons.h"
#include "Pythia8/SigmaQCD.h"
#include "Pythia8/SigmaSUSY.h"

namespace Pythia8 {

//==========================================================================

// ProcessContainer class.
// Information allowing the generation of a specific process.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of event tries to check maximization finding reliability.
const int ProcessContainer::N12SAMPLE = 100;

// Ditto, but increased for 2 -> 3 processes.
const int ProcessContainer::N3SAMPLE  = 1000;

//--------------------------------------------------------------------------

// Initialize phase space and counters.
// Argument isFirst distinguishes two hard processes in same event.

bool ProcessContainer::init(bool isFirst, Info* infoPtrIn,
  Settings& settings, ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
  BeamParticle* beamAPtr, BeamParticle* beamBPtr, Couplings* couplingsPtr,
  SigmaTotal* sigmaTotPtr, ResonanceDecays* resDecaysPtrIn,
  SLHAinterface* slhaInterfacePtr, UserHooks* userHooksPtrIn) {

  // Extract info about current process from SigmaProcess object.
  isLHA       = sigmaProcessPtr->isLHA();
  isNonDiff   = sigmaProcessPtr->isNonDiff();
  isResolved  = sigmaProcessPtr->isResolved();
  isDiffA     = sigmaProcessPtr->isDiffA();
  isDiffB     = sigmaProcessPtr->isDiffB();
  isDiffC     = sigmaProcessPtr->isDiffC();
  isQCD3body  = sigmaProcessPtr->isQCD3body();
  int nFin    = sigmaProcessPtr->nFinal();
  lhaStrat    = (isLHA) ? lhaUpPtr->strategy() : 0;
  lhaStratAbs = abs(lhaStrat);
  allowNegSig = sigmaProcessPtr->allowNegativeSigma();

  // Flag for maximum violation handling.
  increaseMaximum = settings.flag("PhaseSpace:increaseMaximum");

  // Pick and create phase space generator. Send pointers where required.
  if      (isLHA)       phaseSpacePtr = new PhaseSpaceLHA();
  else if (isNonDiff)   phaseSpacePtr = new PhaseSpace2to2nondiffractive();
  else if (!isResolved && !isDiffA  && !isDiffB  && !isDiffC )
                        phaseSpacePtr = new PhaseSpace2to2elastic();
  else if (!isResolved && !isDiffA  && !isDiffB && isDiffC)
                        phaseSpacePtr = new PhaseSpace2to3diffractive();
  else if (!isResolved) phaseSpacePtr = new PhaseSpace2to2diffractive(
                                        isDiffA, isDiffB);
  else if (nFin == 1)   phaseSpacePtr = new PhaseSpace2to1tauy();
  else if (nFin == 2)   phaseSpacePtr = new PhaseSpace2to2tauyz();
  else if (isQCD3body)  phaseSpacePtr = new PhaseSpace2to3yyycyl();
  else                  phaseSpacePtr = new PhaseSpace2to3tauycyl();

  // Store pointers and perform simple initialization.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  resDecaysPtr    = resDecaysPtrIn;
  userHooksPtr    = userHooksPtrIn;
  canVetoResDecay = (userHooksPtr != 0)
                  ? userHooksPtr->canVetoResonanceDecays() : false;
  if (isLHA) {
    sigmaProcessPtr->setLHAPtr(lhaUpPtr);
    phaseSpacePtr->setLHAPtr(lhaUpPtr);
  }
  sigmaProcessPtr->init(infoPtr, &settings, particleDataPtr, rndmPtr,
    beamAPtr, beamBPtr, couplingsPtr, sigmaTotPtr, slhaInterfacePtr);
  phaseSpacePtr->init( isFirst, sigmaProcessPtr, infoPtr, &settings,
    particleDataPtr, rndmPtr, beamAPtr,  beamBPtr, couplingsPtr, sigmaTotPtr,
    userHooksPtr);

  // Reset cross section statistics.
  nTry      = 0;
  nSel      = 0;
  nAcc      = 0;
  nTryStat  = 0;
  sigmaMx   = 0.;
  sigmaSum  = 0.;
  sigma2Sum = 0.;
  sigmaNeg  = 0.;
  sigmaAvg  = 0.;
  sigmaFin  = 0.;
  deltaFin  = 0.;
  wtAccSum  = 0.;

  // Initialize process and allowed incoming partons.
  sigmaProcessPtr->initProc();
  if (!sigmaProcessPtr->initFlux()) return false;

  // Find maximum of differential cross section * phasespace.
  bool physical       = phaseSpacePtr->setupSampling();
  sigmaMx             = phaseSpacePtr->sigmaMax();
  double sigmaHalfWay = sigmaMx;

  // Separate signed maximum needed for LHA with negative weight.
  sigmaSgn            = phaseSpacePtr->sigmaSumSigned();

  // Check maximum by a few events, and extrapolate a further increase.
  if (physical & !isLHA) {
    int nSample = (nFin < 3) ? N12SAMPLE : N3SAMPLE;
    for (int iSample = 0; iSample < nSample; ++iSample) {
      bool test = false;
      while (!test) test = phaseSpacePtr->trialKin(false);
      if (iSample == nSample/2) sigmaHalfWay = phaseSpacePtr->sigmaMax();
    }
    double sigmaFullWay = phaseSpacePtr->sigmaMax();
    sigmaMx = (sigmaHalfWay > 0.) ? pow2(sigmaFullWay) / sigmaHalfWay
                                  : sigmaFullWay;
    phaseSpacePtr->setSigmaMax(sigmaMx);
  }

  // Allow Pythia to overwrite incoming beams or Les Houches lifetime input.
  idRenameBeams = settings.mode("LesHouches:idRenameBeams");
  setLifetime   = settings.mode("LesHouches:setLifetime");

  // Done.
  return physical;
}

//--------------------------------------------------------------------------

// Generate a trial event; selected or not.
 
bool ProcessContainer::trialProcess() {

  // Loop over tries only occurs for Les Houches strategy = +-2.
  for (int iTry = 0;  ; ++iTry) {

    // Generate a trial phase space point, if meaningful.
    if (sigmaMx == 0.) return false;
    infoPtr->setEndOfFile(false);
    bool repeatSame = (iTry > 0);
    bool physical = phaseSpacePtr->trialKin(true, repeatSame);

    // Note if at end of Les Houches file, else do statistics.
    if (isLHA && !physical) infoPtr->setEndOfFile(true);
    else {
      ++nTry;
      // Statistics for separate Les Houches process codes. Insert new codes.
      if (isLHA) {
        int codeLHANow = lhaUpPtr->idProcess();
        int iFill = -1;
        for (int i = 0; i < int(codeLHA.size()); ++i)
          if (codeLHANow == codeLHA[i]) iFill = i;
        if (iFill >= 0) {
          ++nTryLHA[iFill];
        } else {
          codeLHA.push_back(codeLHANow);
          nTryLHA.push_back(1);
          nSelLHA.push_back(0);
          nAccLHA.push_back(0);
          for (int i = int(codeLHA.size()) - 1; i > 0; --i) {
            if (codeLHA[i] < codeLHA[i - 1]) {
              swap(codeLHA[i], codeLHA[i - 1]);
              swap(nTryLHA[i], nTryLHA[i - 1]);
              swap(nSelLHA[i], nSelLHA[i - 1]);
              swap(nAccLHA[i], nAccLHA[i - 1]);
            }
            else break;
          }
        }
      }
    }

    // Possibly fail, else cross section.
    if (!physical) return false;
    double sigmaNow = phaseSpacePtr->sigmaNow();

    // Tell if this event comes with weight from cross section.
    double sigmaWeight = 1.;
    if (!isLHA && !increaseMaximum && sigmaNow > sigmaMx)
      sigmaWeight = sigmaNow / sigmaMx;
    if ( lhaStrat < 0 && sigmaNow < 0.) sigmaWeight = -1.;
    if ( lhaStratAbs == 4) sigmaWeight = sigmaNow;

    // Also compensating weight from biased phase-space selection.
    double biasWeight = phaseSpacePtr->biasSelectionWeight();
    weightNow = sigmaWeight * biasWeight;
    infoPtr->setWeight( weightNow, lhaStrat);

    // Check that not negative cross section when not allowed.
    if (!allowNegSig) {
      if (sigmaNow < sigmaNeg) {
        infoPtr->errorMsg("Warning in ProcessContainer::trialProcess: neg"
          "ative cross section set 0", "for " +  sigmaProcessPtr->name() );
        sigmaNeg = sigmaNow;
      }
      if (sigmaNow < 0.) sigmaNow = 0.;
    }

    // Cross section of process may come with a weight. Update sum.
    double sigmaAdd = sigmaNow * biasWeight;
    if (lhaStratAbs == 2 || lhaStratAbs == 3) sigmaAdd = sigmaSgn;
    sigmaSum  += sigmaAdd;
    sigma2Sum += pow2(sigmaAdd);
 
    // Check if maximum violated.
    newSigmaMx = phaseSpacePtr->newSigmaMax();
    if (newSigmaMx) sigmaMx = phaseSpacePtr->sigmaMax();

    // Select or reject trial point. Statistics.
    bool select = true;
    if (lhaStratAbs < 3) select
      = (newSigmaMx || rndmPtr->flat() * abs(sigmaMx) < abs(sigmaNow));
    if (select) {
      ++nSel;
      if (isLHA) {
        int codeLHANow = lhaUpPtr->idProcess();
        int iFill = -1;
        for (int i = 0; i < int(codeLHA.size()); ++i)
          if (codeLHANow == codeLHA[i]) iFill = i;
        if (iFill >= 0) ++nSelLHA[iFill];
      }
    }
    if (select || lhaStratAbs != 2) return select;

  }
 
}

//--------------------------------------------------------------------------

// Accumulate statistics after user veto, including LHA code.

void ProcessContainer::accumulate() {

  ++nAcc;
  wtAccSum += weightNow;
  if (isLHA) {
    int codeLHANow = lhaUpPtr->idProcess();
    int iFill = -1;
    for (int i = 0; i < int(codeLHA.size()); ++i)
      if (codeLHANow == codeLHA[i]) iFill = i;
    if (iFill >= 0) ++nAccLHA[iFill];
  }

}

//--------------------------------------------------------------------------
  
// Pick flavours and colour flow of process.

bool ProcessContainer::constructState() {

  // Construct flavour and colours for selected event.
  if (isResolved && !isNonDiff) sigmaProcessPtr->pickInState();
  sigmaProcessPtr->setIdColAcol();

  // Done.
  return true;

}

//--------------------------------------------------------------------------
  
// Give the hard subprocess with kinematics.

bool ProcessContainer::constructProcess( Event& process, bool isHardest) {

  // Construct kinematics from selected phase space point.
  if (!phaseSpacePtr->finalKin()) return false;
  int nFin = sigmaProcessPtr->nFinal();

  // Basic info on process.
  if (isHardest) infoPtr->setType( name(), code(), nFin, isNonDiff,
    isResolved, isDiffA, isDiffB, isDiffC, isLHA);

  // Let hard process record begin with the event as a whole and
  // the two incoming beam particles.
  int idA = infoPtr->idA();
  if (abs(idA) == idRenameBeams) idA = 16;
  int idB = infoPtr->idB();
  if (abs(idB) == idRenameBeams) idB = -16;
  process.append( 90, -11, 0, 0, 0, 0, 0, 0,
    Vec4(0., 0., 0., infoPtr->eCM()), infoPtr->eCM(), 0. );
  process.append( idA, -12, 0, 0, 0, 0, 0, 0,
    Vec4(0., 0., infoPtr->pzA(), infoPtr->eA()), infoPtr->mA(), 0. );
  process.append( idB, -12, 0, 0, 0, 0, 0, 0,
    Vec4(0., 0., infoPtr->pzB(), infoPtr->eB()), infoPtr->mB(), 0. );

  // For nondiffractive process no interaction selected so far, so done.
  if (isNonDiff) return true;

  // Entries 3 and 4, now to be added, come from 1 and 2.
  process[1].daughter1(3);
  process[2].daughter1(4);
  double scale  = 0.;
  double scalup = 0.;
  
  // For DiffC entries 3 - 5 come jointly from 1 and 2 (to keep HepMC happy).
  if (isDiffC) {
    process[1].daughters(3, 5);
    process[2].daughters(3, 5);
  }

  // Insert the subprocess partons - resolved processes.
  int idRes = sigmaProcessPtr->idSChannel();
  if (isResolved && !isLHA) {

    // NOAM: Mothers and daughters without/with intermediate state.
    int m_M1 = 3;
    int m_M2 = 4;
    int m_D1 = 5;
    int m_D2 = (nFin == 1) ? 0 : 4 + nFin;
    if (idRes != 0) {
      m_M1   = 5;
      m_M2   = 0;
      m_D1   = 5;
      m_D2   = 0;
    }

    // Find scale from which to begin MPI/ISR/FSR evolution.
    scale = sqrt(Q2Fac());
    process.scale( scale );

    // Loop over incoming and outgoing partons.
    int colOffset = process.lastColTag();
    for (int i = 1; i <= 2 + nFin; ++i) {

      // Read out particle info from SigmaProcess object.
      int id        = sigmaProcessPtr->id(i);
      int status    = (i <= 2) ? -21 : 23;
      int mother1   = (i <= 2) ? i : m_M1 ;
      int mother2   = (i <= 2) ? 0 : m_M2 ;
      int daughter1 = (i <= 2) ? m_D1 : 0;
      int daughter2 = (i <= 2) ? m_D2 : 0;
      int col       = sigmaProcessPtr->col(i);
      if      (col > 0) col += colOffset;
      else if (col < 0) col -= colOffset;
      int acol      = sigmaProcessPtr->acol(i);
      if      (acol > 0) acol += colOffset;
      else if (acol < 0) acol -= colOffset;

      // Append to process record.
      int iNow = process.append( id, status, mother1, mother2,
        daughter1, daughter2, col, acol, phaseSpacePtr->p(i),
        phaseSpacePtr->m(i), scale);

      // NOAM: If there is an intermediate state, insert the it in
      // the process record after the two incoming particles.
      if (i == 2 && idRes != 0) {

        // Sign of intermediate state: go by charge.
        if (particleDataPtr->hasAnti(idRes)
          && process[3].chargeType() + process[4].chargeType() < 0)
          idRes *= -1;

        // The colour configuration of the intermediate state has to be
        // resolved separately.
        col         = 0;
        acol        = 0;
        int m_col1  = sigmaProcessPtr->col(1);
        int m_acol1 = sigmaProcessPtr->acol(1);
        int m_col2  = sigmaProcessPtr->col(2);
        int m_acol2 = sigmaProcessPtr->acol(2);
        if (m_col1 == m_acol2 && m_col2 != m_acol1) {
          col       = m_col2;
          acol       = m_acol1;
        } else if (m_col2 == m_acol1 && m_col1 != m_acol2) {
          col        = m_col1;
          acol       = m_acol2;
        }
        if      ( col > 0)  col += colOffset;
        else if ( col < 0)  col -= colOffset;
        if      (acol > 0) acol += colOffset;
        else if (acol < 0) acol -= colOffset;

        // Insert the intermediate state into the event record.
        Vec4 pIntMed = phaseSpacePtr->p(1) + phaseSpacePtr->p(2);
        process.append( idRes, -22, 3, 4,  6, 5 + nFin, col, acol,
          pIntMed, pIntMed.mCalc(), scale);
      }
      
      // Pick lifetime where relevant, else not.
      if (process[iNow].tau0() > 0.) process[iNow].tau(
        process[iNow].tau0() * rndmPtr->exp() );
    }
  }

  // Insert the outgoing particles - unresolved processes.
  else if (!isLHA) {
    int id3     = sigmaProcessPtr->id(3);
    int status3 = (id3 == process[1].id()) ? 14 : 15;
    process.append( id3, status3, 1, 0, 0, 0, 0, 0,
      phaseSpacePtr->p(3), phaseSpacePtr->m(3));
    int id4     = sigmaProcessPtr->id(4);
    int status4 = (id4 == process[2].id()) ? 14 : 15;
    process.append( id4, status4, 2, 0, 0, 0, 0, 0,
      phaseSpacePtr->p(4), phaseSpacePtr->m(4));

    // For central diffraction: two scattered protons inserted so far,
    // but modify mothers, add also centrally-produced hadronic system.
    if (isDiffC) {
      process[3].mothers( 1, 2);
      process[4].mothers( 1, 2);
      int id5     = sigmaProcessPtr->id(5);
      int status5 = 15;
      process.append( id5, status5, 1, 2, 0, 0, 0, 0,
        phaseSpacePtr->p(5), phaseSpacePtr->m(5));
    }
  }

  // Insert the outgoing particles - Les Houches Accord processes.
  else {

    // Since LHA partons may be out of order, determine correct one.
    // (Recall that zeroth particle is empty.)
    vector newPos;
    newPos.reserve(lhaUpPtr->sizePart());
    newPos.push_back(0);
    for (int iNew = 0; iNew < lhaUpPtr->sizePart(); ++iNew) {
      // For iNew == 0 look for the two incoming partons, then for
      // partons having them as mothers, and so on layer by layer.
      for (int i = 1; i < lhaUpPtr->sizePart(); ++i)
        if (lhaUpPtr->mother1(i) == newPos[iNew]) newPos.push_back(i);
      if (int(newPos.size()) <= iNew) break;
    }

    // Find scale from which to begin MPI/ISR/FSR evolution.
    scalup = lhaUpPtr->scale();
    scale  = scalup;
    double scalePr = (scale < 0.) ? sqrt(Q2Fac()) : scale;
    process.scale( scalePr);

    // Copy over info from LHA event to process, in proper order.
    for (int i = 1; i < lhaUpPtr->sizePart(); ++i) {
      int iOld = newPos[i];
      int id = lhaUpPtr->id(iOld);
      if (i == 1 && abs(id) == idRenameBeams) id = 16;
      if (i == 2 && abs(id) == idRenameBeams) id = -16;

      // Translate from LHA status codes.
      int lhaStatus =  lhaUpPtr->status(iOld);
      int status = -21;
      if (lhaStatus == 2 || lhaStatus == 3) status = -22;
      if (lhaStatus == 1) status = 23;

      // Find where mothers have been moved by reordering.
      int mother1Old = lhaUpPtr->mother1(iOld);
      int mother2Old = lhaUpPtr->mother2(iOld);
      int mother1 = 0;
      int mother2 = 0;
      for (int im = 1; im < i; ++im) {
        if (mother1Old == newPos[im]) mother1 = im + 2;
        if (mother2Old == newPos[im]) mother2 = im + 2;
      }
      if (i <= 2) mother1 = i;

      // Ensure that second mother = 0 except for bona fide carbon copies.
      if (mother1 > 0 && mother2 == mother1) {
        int sister1 = process[mother1].daughter1();
        int sister2 = process[mother1].daughter2();
        if (sister2 != sister1 && sister2 != 0) mother2 = 0;
      }

      // Find daughters and where they have been moved by reordering.
      // (Values shifted two steps to account for inserted beams.)
      int daughter1 = 0;
      int daughter2 = 0;
      for (int im = i + 1; im < lhaUpPtr->sizePart(); ++im) {
        if (lhaUpPtr->mother1(newPos[im]) == iOld
          || lhaUpPtr->mother2(newPos[im]) == iOld) {
          if (daughter1 == 0 || im + 2 < daughter1) daughter1 = im + 2;
          if (daughter2 == 0 || im + 2 > daughter2) daughter2 = im + 2;
        }
      }
      // For 2 -> 1 hard scatterings reset second daughter to 0.
      if (daughter2 == daughter1) daughter2 = 0;

      // Colour trivial, except reset irrelevant colour indices.
      int colType = particleDataPtr->colType(id);
      int col1   = (colType == 1 || colType == 2 || abs(colType) == 3)
                 ? lhaUpPtr->col1(iOld) : 0;
      int col2   = (colType == -1 || colType == 2 || abs(colType) == 3)
                 ?  lhaUpPtr->col2(iOld) : 0;

      // Momentum trivial.
      double px  = lhaUpPtr->px(iOld);
      double py  = lhaUpPtr->py(iOld);
      double pz  = lhaUpPtr->pz(iOld);
      double e   = lhaUpPtr->e(iOld);
      double m   = lhaUpPtr->m(iOld);

      // Polarization.
      double pol = lhaUpPtr->spin(iOld);

      // Allow scale setting for generic partons.
      double scaleShow = lhaUpPtr->scale(iOld);

      // For resonance decay products use resonance mass as scale.
      double scaleNow = scalePr;
      if (mother1 > 4) scaleNow = process[mother1].m();
      if (scaleShow >= 0.0) scaleNow = scaleShow;

      // Store Les Houches Accord partons.
      int iNow = process.append( id, status, mother1, mother2, daughter1,
        daughter2, col1, col2, Vec4(px, py, pz, e), m, scaleNow, pol);

      // Check if need to store lifetime.
      double tau = lhaUpPtr->tau(iOld);
      if ( (setLifetime == 1 && abs(id) == 15) || setLifetime == 2)
         tau = process[iNow].tau0() * rndmPtr->exp();
      if (tau > 0.) process[iNow].tau(tau);
    }
  }

  // Loop through decay chains and set secondary vertices when needed.
  for (int i = 3; i < process.size(); ++i) {
    int iMother  = process[i].mother1();
    
    // If sister to already assigned vertex then assign same.
    if ( process[i - 1].mother1() == iMother && process[i - 1].hasVertex() )
      process[i].vProd( process[i - 1].vProd() );

    // Else if mother already has vertex and/or lifetime then assign.
    else if ( process[iMother].hasVertex() || process[iMother].tau() > 0.)
      process[i].vProd( process[iMother].vDec() );
  }

  // Further info on process. Reset quantities that may or may not be known.
  int    id1Now  = process[3].id();
  int    id2Now  = process[4].id();
  int    id1pdf  = 0;
  int    id2pdf  = 0;
  double x1pdf   = 0.;
  double x2pdf   = 0.;
  double pdf1    = 0.;
  double pdf2    = 0.;
  double tHat    = 0.;
  double uHat    = 0.;
  double pTHatL  = 0.;
  double m3      = 0.;
  double m4      = 0.;
  double theta   = 0.;
  double phi     = 0.;
  double x1Now, x2Now, Q2FacNow, alphaEM, alphaS, Q2Ren, sHat;

  // Internally generated and stored information.
  if (!isLHA) {
    id1pdf       = id1Now;
    id2pdf       = id2Now;
    x1Now        = phaseSpacePtr->x1();
    x2Now        = phaseSpacePtr->x2();
    x1pdf        = x1Now;
    x2pdf        = x2Now;
    pdf1         = sigmaProcessPtr->pdf1();
    pdf2         = sigmaProcessPtr->pdf2();
    Q2FacNow     = sigmaProcessPtr->Q2Fac();
    alphaEM      = sigmaProcessPtr->alphaEMRen();
    alphaS       = sigmaProcessPtr->alphaSRen();
    Q2Ren        = sigmaProcessPtr->Q2Ren();
    sHat         = phaseSpacePtr->sHat();
    tHat         = phaseSpacePtr->tHat();
    uHat         = phaseSpacePtr->uHat();
    pTHatL       = phaseSpacePtr->pTHat();
    m3           = phaseSpacePtr->m(3);
    m4           = phaseSpacePtr->m(4);
    theta        = phaseSpacePtr->thetaHat();
    phi          = phaseSpacePtr->phiHat();
  }

  // Les Houches Accord process partly available, partly to be constructed.
  else {
    x1Now        = 2. * process[3].e() / infoPtr->eCM();
    x2Now        = 2. * process[4].e() / infoPtr->eCM();
    Q2FacNow     = (scale < 0.) ? sigmaProcessPtr->Q2Fac() : pow2(scale);
    alphaEM      = lhaUpPtr->alphaQED();
    if (alphaEM < 0.001) alphaEM = sigmaProcessPtr->alphaEMRen();
    alphaS       = lhaUpPtr->alphaQCD();
    if (alphaS  < 0.001) alphaS  = sigmaProcessPtr->alphaSRen();
    Q2Ren        = (scale < 0.) ? sigmaProcessPtr->Q2Ren() : pow2(scale);
    Vec4 pSum    = process[3].p() + process[4].p();
    sHat         = pSum * pSum;
    int nFinLH   = 0;
    double pTLH  = 0.;
    for (int i = 5; i < process.size(); ++i)
    if (process[i].mother1() == 3 && process[i].mother2() == 4) {
      ++nFinLH;
      pTLH      += process[i].pT();
    }
    if (nFinLH > 0) pTHatL = pTLH / nFinLH;

    // Read info on parton densities if provided.
    id1pdf       = lhaUpPtr->id1pdf();
    id2pdf       = lhaUpPtr->id2pdf();
    x1pdf        = lhaUpPtr->x1pdf();
    x2pdf        = lhaUpPtr->x2pdf();
    if (lhaUpPtr->pdfIsSet()) {
      pdf1       = lhaUpPtr->pdf1();
      pdf2       = lhaUpPtr->pdf2();
      Q2FacNow   = pow2(lhaUpPtr->scalePDF());
    }

    // Reconstruct kinematics of 2 -> 2 processes from momenta.
    if (nFin == 2) {
      Vec4 pDifT = process[3].p() - process[5].p();
      tHat       = pDifT * pDifT;
      Vec4 pDifU = process[3].p() - process[6].p();
      uHat       = pDifU * pDifU;
      pTHatL     = process[5].pT();
      m3         = process[5].m();
      m4         = process[6].m();
      Vec4 p5    = process[5].p();
      p5.bstback(pSum);
      theta      = p5.theta();
      phi        = process[5].phi();
    }
  }

  // Store information.
  if (isHardest) {
    infoPtr->setPDFalpha( 0, id1pdf, id2pdf, x1pdf, x2pdf, pdf1, pdf2,
      Q2FacNow, alphaEM, alphaS, Q2Ren, scalup);
    infoPtr->setKin( 0, id1Now, id2Now, x1Now, x2Now, sHat, tHat, uHat,
      pTHatL, m3, m4, theta, phi);
  }
  infoPtr->setTypeMPI( code(), pTHatL);

  // For Les Houches event store subprocess classification.
  if (isLHA) {
    int codeSub  = lhaUpPtr->idProcess();
    ostringstream nameSub;
    nameSub << "user process " << codeSub;
    infoPtr->setSubType( 0, nameSub.str(), codeSub, nFin);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------
  
// Give the hard resonance decay chain from Les Houches input.
// Note: mildly modified copy of some constructProcess code; to streamline.

bool ProcessContainer::constructDecays( Event& process) {

  // Let hard process record begin with the event as a whole.
  process.clear();
  process.append( 90, -11, 0, 0, 0, 0, 0, 0, Vec4(0., 0., 0., 0.), 0., 0. );

  // Since LHA partons may be out of order, determine correct one.
  // (Recall that zeroth particle is empty.)
  vector newPos;
  newPos.reserve(lhaUpPtr->sizePart());
  newPos.push_back(0);
  for (int iNew = 0; iNew < lhaUpPtr->sizePart(); ++iNew) {
    // For iNew == 0 look for the two incoming partons, then for
    // partons having them as mothers, and so on layer by layer.
    for (int i = 1; i < lhaUpPtr->sizePart(); ++i)
      if (lhaUpPtr->mother1(i) == newPos[iNew]) newPos.push_back(i);
    if (int(newPos.size()) <= iNew) break;
  }

  // Find scale from which to begin MPI/ISR/FSR evolution.
  double scale = lhaUpPtr->scale();
  process.scale( scale);
  Vec4 pSum;

  // Copy over info from LHA event to process, in proper order.
  for (int i = 1; i < lhaUpPtr->sizePart(); ++i) {
    int iOld = newPos[i];
    int id = lhaUpPtr->id(iOld);

    // Translate from LHA status codes.
    int lhaStatus =  lhaUpPtr->status(iOld);
    int status = -21;
    if (lhaStatus == 2 || lhaStatus == 3) status = -22;
    if (lhaStatus == 1) status = 23;

    // Find where mothers have been moved by reordering.
    int mother1Old = lhaUpPtr->mother1(iOld);
    int mother2Old = lhaUpPtr->mother2(iOld);
    int mother1 = 0;
    int mother2 = 0;
    for (int im = 1; im < i; ++im) {
      if (mother1Old == newPos[im]) mother1 = im;
      if (mother2Old == newPos[im]) mother2 = im;
    }

    // Ensure that second mother = 0 except for bona fide carbon copies.
    if (mother1 > 0 && mother2 == mother1) {
      int sister1 = process[mother1].daughter1();
      int sister2 = process[mother1].daughter2();
      if (sister2 != sister1 && sister2 != 0) mother2 = 0;
    }

    // Find daughters and where they have been moved by reordering.
    int daughter1 = 0;
    int daughter2 = 0;
    for (int im = i + 1; im < lhaUpPtr->sizePart(); ++im) {
      if (lhaUpPtr->mother1(newPos[im]) == iOld
        || lhaUpPtr->mother2(newPos[im]) == iOld) {
        if (daughter1 == 0 || im < daughter1) daughter1 = im;
        if (daughter2 == 0 || im > daughter2) daughter2 = im;
      }
    }
    // For 2 -> 1 hard scatterings reset second daughter to 0.
    if (daughter2 == daughter1) daughter2 = 0;

    // Colour trivial, except reset irrelevant colour indices.
    int colType = particleDataPtr->colType(id);
    int col1   = (colType == 1 || colType == 2 || abs(colType) == 3)
               ? lhaUpPtr->col1(iOld) : 0;
    int col2   = (colType == -1 || colType == 2 || abs(colType) == 3)
               ?  lhaUpPtr->col2(iOld) : 0;

    // Momentum trivial.
    double px  = lhaUpPtr->px(iOld);
    double py  = lhaUpPtr->py(iOld);
    double pz  = lhaUpPtr->pz(iOld);
    double e   = lhaUpPtr->e(iOld);
    double m   = lhaUpPtr->m(iOld);
    if (status > 0) pSum += Vec4( px, py, pz, e);

    // Polarization.
    double pol = lhaUpPtr->spin(iOld);

    // For resonance decay products use resonance mass as scale.
    double scaleNow = scale;
    if (mother1 > 0) scaleNow = process[mother1].m();

    // Store Les Houches Accord partons.
    int iNow = process.append( id, status, mother1, mother2, daughter1,
      daughter2, col1, col2, Vec4(px, py, pz, e), m, scaleNow, pol);
      
    // Check if need to store lifetime.
    double tau = lhaUpPtr->tau(iOld);
    if ( (setLifetime == 1 && abs(id) == 15) || setLifetime == 2)
       tau = process[iNow].tau0() * rndmPtr->exp();
    if (tau > 0.) process[iNow].tau(tau);
  }

  // Update four-momentum of system as a whole.
  process[0].p( pSum);
  process[0].m( pSum.mCalc());

  // Loop through decay chains and set secondary vertices when needed.
  for (int i = 1; i < process.size(); ++i) {
    int iMother  = process[i].mother1();
    
    // If sister to already assigned vertex then assign same.
    if ( process[i - 1].mother1() == iMother && process[i - 1].hasVertex()
      && i > 1) process[i].vProd( process[i - 1].vProd() );

    // Else if mother already has vertex and/or lifetime then assign.
    else if ( process[iMother].hasVertex() || process[iMother].tau() > 0.)
      process[i].vProd( process[iMother].vDec() );
  }
  
  // Done.
  return true;

}

//--------------------------------------------------------------------------
  
// Handle resonance decays.

bool ProcessContainer::decayResonances( Event& process) {

  // Save current event-record size and status codes.
  process.saveSize();
  vector statusSave( process.size());
  for (int i = 0; i < process.size(); ++i)
    statusSave[i] = process[i].status();
  bool physical    = true;
  bool newChain    = false;
  bool newFlavours = false;

  // Do loop over user veto.
  do {

    // Do sequential chain of uncorrelated isotropic decays.
    do {
      physical = resDecaysPtr->next( process);
      if (!physical) return false;

      // Check whether flavours should be correlated.
      // (Currently only relevant for f fbar -> gamma*/Z0 gamma*/Z0.)
      newFlavours = ( sigmaProcessPtr->weightDecayFlav( process)
                    < rndmPtr->flat() );

      // Reset the decay chains if have to redo.
      if (newFlavours) {
        process.restoreSize();
        for (int i = 0; i < process.size(); ++i)
          process[i].status( statusSave[i]);
      }

    // Loop back where required to generate new decays with new flavours.
    } while (newFlavours);

    // Correct to nonisotropic decays.
    phaseSpacePtr->decayKinematics( process);

    // Optionally user hooks check/veto on decay chain.
    if (canVetoResDecay)
      newChain = userHooksPtr->doVetoResonanceDecays( process);

    // Reset the decay chains if have to redo.
    if (newChain) {
      process.restoreSize();
      for (int i = 0; i < process.size(); ++i)
        process[i].status( statusSave[i]);
    }

  // Loop back where required to generate new decay chain.
  } while(newChain);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Reset event generation statistics; but NOT maximum of cross section.

void ProcessContainer::reset() {

  nTry      = 0;
  nSel      = 0;
  nAcc      = 0;
  nTryStat  = 0;
  sigmaSum  = 0.;
  sigma2Sum = 0.;
  sigmaNeg  = 0.;
  sigmaAvg  = 0.;
  sigmaFin  = 0.;
  deltaFin  = 0.;
  wtAccSum  = 0.;

}

//--------------------------------------------------------------------------

// Estimate integrated cross section and its uncertainty.

void ProcessContainer::sigmaDelta() {

  // Initial values. No analysis meaningful unless accepted events.
  nTryStat = nTry;
  sigmaAvg = 0.;
  sigmaFin = 0.;
  deltaFin = 0.;
  if (nAcc == 0) return;

  // Average value. No error analysis unless at least two events.
  double nTryInv  = 1. / nTry;
  double nSelInv  = 1. / nSel;
  double nAccInv  = 1. / nAcc;
  sigmaAvg        = sigmaSum * nTryInv;
  double fracAcc  = nAcc * nSelInv;
  sigmaFin        = sigmaAvg * fracAcc;
  deltaFin        = sigmaFin;
  if (nAcc == 1) return;

  // Estimated error. Quadratic sum of cross section term and
  // binomial from accept/reject step.
  double delta2Sig   = (lhaStratAbs != 3)
    ? (sigma2Sum * nTryInv - pow2(sigmaAvg)) * nTryInv / pow2(sigmaAvg)
    : pow2( lhaUpPtr->xErrSum() / lhaUpPtr->xSecSum());
  double delta2Veto  = (nSel - nAcc) * nAccInv * nSelInv;
  double delta2Sum   = delta2Sig + delta2Veto;
  deltaFin           = sqrtpos(delta2Sum) * sigmaFin;

}
 
//==========================================================================

// SetupContainer class.
// Turns list of user-desired processes into a vector of containers.

//--------------------------------------------------------------------------

// Main routine to initialize list of processes.

bool SetupContainers::init(vector& containerPtrs,
       Info *infoPtr, Settings& settings, ParticleData* particleDataPtr, 
       Couplings* couplings) {

  // Reset process list, if filled in previous subrun.
  if (containerPtrs.size() > 0) {
    for (int i = 0; i < int(containerPtrs.size()); ++i)
      delete containerPtrs[i];
    containerPtrs.clear();
  }
  SigmaProcess* sigmaPtr;

  // Set up requested objects for soft QCD processes.
  bool softQCD = settings.flag("SoftQCD:all");
  bool inelastic = settings.flag("SoftQCD:inelastic");
  if (softQCD || inelastic || settings.flag("SoftQCD:nonDiffractive")) {
    sigmaPtr = new Sigma0nonDiffractive;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (softQCD || settings.flag("SoftQCD:elastic")) {
    sigmaPtr = new Sigma0AB2AB;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (softQCD || inelastic || settings.flag("SoftQCD:singleDiffractive")) {
    sigmaPtr = new Sigma0AB2XB;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma0AB2AX;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (softQCD || inelastic || settings.flag("SoftQCD:doubleDiffractive")) {
    sigmaPtr = new Sigma0AB2XX;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (softQCD || inelastic || settings.flag("SoftQCD:centralDiffractive")) {
    sigmaPtr = new Sigma0AB2AXB;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for hard QCD processes.
  bool hardQCD = settings.flag("HardQCD:all");
  if (hardQCD || settings.flag("HardQCD:gg2gg")) {
    sigmaPtr = new Sigma2gg2gg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || settings.flag("HardQCD:gg2qqbar")) {
    sigmaPtr = new Sigma2gg2qqbar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || settings.flag("HardQCD:qg2qg")) {
    sigmaPtr = new Sigma2qg2qg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || settings.flag("HardQCD:qq2qq")) {
    sigmaPtr = new Sigma2qq2qq;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || settings.flag("HardQCD:qqbar2gg")) {
    sigmaPtr = new Sigma2qqbar2gg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || settings.flag("HardQCD:qqbar2qqbarNew")) {
    sigmaPtr = new Sigma2qqbar2qqbarNew;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for c cbar and b bbar, also hard QCD.
  bool hardccbar = settings.flag("HardQCD:hardccbar");
  if (hardQCD || hardccbar || settings.flag("HardQCD:gg2ccbar")) {
    sigmaPtr = new Sigma2gg2QQbar(4, 121);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || hardccbar || settings.flag("HardQCD:qqbar2ccbar")) {
    sigmaPtr = new Sigma2qqbar2QQbar(4, 122);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  bool hardbbbar = settings.flag("HardQCD:hardbbbar");
  if (hardQCD || hardbbbar || settings.flag("HardQCD:gg2bbbar")) {
    sigmaPtr = new Sigma2gg2QQbar(5, 123);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD || hardbbbar || settings.flag("HardQCD:qqbar2bbbar")) {
    sigmaPtr = new Sigma2qqbar2QQbar(5, 124);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
 
  // Set up requested objects for hard QCD 2 -> 3 processes.
  bool hardQCD3parton = settings.flag("HardQCD:3parton");
  if (hardQCD3parton || settings.flag("HardQCD:gg2ggg")) {
    sigmaPtr = new Sigma3gg2ggg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qqbar2ggg")) {
    sigmaPtr = new Sigma3qqbar2ggg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qg2qgg")) {
    sigmaPtr = new Sigma3qg2qgg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qq2qqgDiff")) {
    sigmaPtr = new Sigma3qq2qqgDiff;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qq2qqgSame")) {
    sigmaPtr = new Sigma3qq2qqgSame;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qqbar2qqbargDiff")) {
    sigmaPtr = new Sigma3qqbar2qqbargDiff;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qqbar2qqbargSame")) {
    sigmaPtr = new Sigma3qqbar2qqbargSame;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:gg2qqbarg")) {
    sigmaPtr = new Sigma3gg2qqbarg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qg2qqqbarDiff")) {
    sigmaPtr = new Sigma3qg2qqqbarDiff;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hardQCD3parton || settings.flag("HardQCD:qg2qqqbarSame")) {
    sigmaPtr = new Sigma3qg2qqqbarSame;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
 
  // Set up requested objects for prompt photon processes.
  bool promptPhotons = settings.flag("PromptPhoton:all");
  if (promptPhotons
    || settings.flag("PromptPhoton:qg2qgamma")) {
    sigmaPtr = new Sigma2qg2qgamma;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (promptPhotons
    || settings.flag("PromptPhoton:qqbar2ggamma")) {
    sigmaPtr = new Sigma2qqbar2ggamma;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (promptPhotons
    || settings.flag("PromptPhoton:gg2ggamma")) {
    sigmaPtr = new Sigma2gg2ggamma;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (promptPhotons
    || settings.flag("PromptPhoton:ffbar2gammagamma")) {
    sigmaPtr = new Sigma2ffbar2gammagamma;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (promptPhotons
    || settings.flag("PromptPhoton:gg2gammagamma")) {
    sigmaPtr = new Sigma2gg2gammagamma;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested objects for weak gauge boson t-channel exchange.
  bool weakBosonExchanges = settings.flag("WeakBosonExchange:all");
  if (weakBosonExchanges
    || settings.flag("WeakBosonExchange:ff2ff(t:gmZ)")) {
    sigmaPtr = new Sigma2ff2fftgmZ;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonExchanges
    || settings.flag("WeakBosonExchange:ff2ff(t:W)")) {
    sigmaPtr = new Sigma2ff2fftW;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested objects for weak gauge boson processes.
  bool weakSingleBosons = settings.flag("WeakSingleBoson:all");
  if (weakSingleBosons
    || settings.flag("WeakSingleBoson:ffbar2gmZ")) {
    sigmaPtr = new Sigma1ffbar2gmZ;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakSingleBosons
    || settings.flag("WeakSingleBoson:ffbar2W")) {
    sigmaPtr = new Sigma1ffbar2W;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested object for s-channel gamma exchange.
  // Subset of gamma*/Z0 above, intended for multiparton interactions.
  if (settings.flag("WeakSingleBoson:ffbar2ffbar(s:gm)")) {
    sigmaPtr = new Sigma2ffbar2ffbarsgm;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested object for s-channel gamma*/Z0 or W+- exchange.
  if (settings.flag("WeakSingleBoson:ffbar2ffbar(s:gmZ)")) {
    sigmaPtr = new Sigma2ffbar2ffbarsgmZ;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("WeakSingleBoson:ffbar2ffbar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2ffbarsW;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
   
  // Set up requested objects for weak gauge boson pair processes.
  bool weakDoubleBosons = settings.flag("WeakDoubleBoson:all");
  if (weakDoubleBosons
    || settings.flag("WeakDoubleBoson:ffbar2gmZgmZ")) {
    sigmaPtr = new Sigma2ffbar2gmZgmZ;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakDoubleBosons
    || settings.flag("WeakDoubleBoson:ffbar2ZW")) {
    sigmaPtr = new Sigma2ffbar2ZW;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakDoubleBosons
    || settings.flag("WeakDoubleBoson:ffbar2WW")) {
    sigmaPtr = new Sigma2ffbar2WW;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for weak gauge boson + parton processes.
  bool weakBosonAndPartons = settings.flag("WeakBosonAndParton:all");
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:qqbar2gmZg")) {
    sigmaPtr = new Sigma2qqbar2gmZg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:qg2gmZq")) {
    sigmaPtr = new Sigma2qg2gmZq;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:ffbar2gmZgm")) {
    sigmaPtr = new Sigma2ffbar2gmZgm;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:fgm2gmZf")) {
    sigmaPtr = new Sigma2fgm2gmZf;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:qqbar2Wg")) {
    sigmaPtr = new Sigma2qqbar2Wg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:qg2Wq")) {
    sigmaPtr = new Sigma2qg2Wq;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:ffbar2Wgm")) {
    sigmaPtr = new Sigma2ffbar2Wgm;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (weakBosonAndPartons
    || settings.flag("WeakBosonAndParton:fgm2Wf")) {
    sigmaPtr = new Sigma2fgm2Wf;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for photon collision processes.
  bool photonCollisions = settings.flag("PhotonCollision:all");
  if (photonCollisions || settings.flag("PhotonCollision:gmgm2qqbar")) {
    sigmaPtr = new Sigma2gmgm2ffbar(1, 261);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (photonCollisions || settings.flag("PhotonCollision:gmgm2ccbar")) {
    sigmaPtr = new Sigma2gmgm2ffbar(4, 262);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (photonCollisions || settings.flag("PhotonCollision:gmgm2bbbar")) {
    sigmaPtr = new Sigma2gmgm2ffbar(5, 263);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (photonCollisions || settings.flag("PhotonCollision:gmgm2ee")) {
    sigmaPtr = new Sigma2gmgm2ffbar(11, 264);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (photonCollisions || settings.flag("PhotonCollision:gmgm2mumu")) {
    sigmaPtr = new Sigma2gmgm2ffbar(13, 265);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (photonCollisions || settings.flag("PhotonCollision:gmgm2tautau")) {
    sigmaPtr = new Sigma2gmgm2ffbar(15, 266);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for onia production.
  charmonium = SigmaOniaSetup(infoPtr, &settings, particleDataPtr, 4);
  bottomonium = SigmaOniaSetup(infoPtr, &settings, particleDataPtr, 5);
  vector charmoniumSigmaPtrs, bottomoniumSigmaPtrs;
  charmonium.setupSigma2gg(charmoniumSigmaPtrs);
  charmonium.setupSigma2qg(charmoniumSigmaPtrs);
  charmonium.setupSigma2qq(charmoniumSigmaPtrs);
  bottomonium.setupSigma2gg(bottomoniumSigmaPtrs);
  bottomonium.setupSigma2qg(bottomoniumSigmaPtrs);
  bottomonium.setupSigma2qq(bottomoniumSigmaPtrs);
  for (unsigned int i = 0; i < charmoniumSigmaPtrs.size(); ++i)
    containerPtrs.push_back( new ProcessContainer(charmoniumSigmaPtrs[i]) );
  for (unsigned int i = 0; i < bottomoniumSigmaPtrs.size(); ++i)
    containerPtrs.push_back( new ProcessContainer(bottomoniumSigmaPtrs[i]) );

  // Set up requested objects for top production.
  bool tops = settings.flag("Top:all");
  if (tops || settings.flag("Top:gg2ttbar")) {
    sigmaPtr = new Sigma2gg2QQbar(6, 601);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tops || settings.flag("Top:qqbar2ttbar")) {
    sigmaPtr = new Sigma2qqbar2QQbar(6, 602);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tops || settings.flag("Top:qq2tq(t:W)")) {
    sigmaPtr = new Sigma2qq2QqtW(6, 603);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tops || settings.flag("Top:ffbar2ttbar(s:gmZ)")) {
    sigmaPtr = new Sigma2ffbar2FFbarsgmZ(6, 604);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tops || settings.flag("Top:ffbar2tqbar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2FfbarsW(6, 0, 605);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tops || settings.flag("Top:gmgm2ttbar")) {
    sigmaPtr = new Sigma2gmgm2ffbar(6, 606);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for fourth-generation b' production
  bool bPrimes = settings.flag("FourthBottom:all");
  if (bPrimes || settings.flag("FourthBottom:gg2bPrimebPrimebar")) {
    sigmaPtr = new Sigma2gg2QQbar(7, 801);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (bPrimes || settings.flag("FourthBottom:qqbar2bPrimebPrimebar")) {
    sigmaPtr = new Sigma2qqbar2QQbar(7, 802);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (bPrimes || settings.flag("FourthBottom:qq2bPrimeq(t:W)")) {
    sigmaPtr = new Sigma2qq2QqtW(7, 803);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (bPrimes || settings.flag("FourthBottom:ffbar2bPrimebPrimebar(s:gmZ)")) {
    sigmaPtr = new Sigma2ffbar2FFbarsgmZ(7, 804);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (bPrimes || settings.flag("FourthBottom:ffbar2bPrimeqbar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2FfbarsW(7, 0, 805);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (bPrimes || settings.flag("FourthBottom:ffbar2bPrimetbar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2FfbarsW(7, 6, 806);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for fourth-generation t' production
  bool tPrimes = settings.flag("FourthTop:all");
  if (tPrimes || settings.flag("FourthTop:gg2tPrimetPrimebar")) {
    sigmaPtr = new Sigma2gg2QQbar(8, 821);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tPrimes || settings.flag("FourthTop:qqbar2tPrimetPrimebar")) {
    sigmaPtr = new Sigma2qqbar2QQbar(8, 822);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tPrimes || settings.flag("FourthTop:qq2tPrimeq(t:W)")) {
    sigmaPtr = new Sigma2qq2QqtW(8, 823);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tPrimes || settings.flag("FourthTop:ffbar2tPrimetPrimebar(s:gmZ)")) {
    sigmaPtr = new Sigma2ffbar2FFbarsgmZ(8, 824);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (tPrimes || settings.flag("FourthTop:ffbar2tPrimeqbar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2FfbarsW(8, 0, 825);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested objects for two different fourth-generation fermions.
  if (bPrimes || tPrimes
    || settings.flag("FourthPair:ffbar2tPrimebPrimebar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2FfbarsW(8, 7, 841);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("FourthPair:ffbar2tauPrimenuPrimebar(s:W)")) {
    sigmaPtr = new Sigma2ffbar2FfbarsW(17, 18, 842);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Flag for global choice between SM and BSM Higgses.
  bool useBSMHiggses = settings.flag("Higgs:useBSM");
  
  // Set up requested objects for Standard-Model Higgs production.
  if (!useBSMHiggses) {
    bool HiggsesSM = settings.flag("HiggsSM:all");
    if (HiggsesSM || settings.flag("HiggsSM:ffbar2H")) {
      sigmaPtr = new Sigma1ffbar2H(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:gg2H")) {
     sigmaPtr = new Sigma1gg2H(0);
     containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:gmgm2H")) {
      sigmaPtr = new Sigma1gmgm2H(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:ffbar2HZ")) {
      sigmaPtr = new Sigma2ffbar2HZ(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:ffbar2HW")) {
      sigmaPtr = new Sigma2ffbar2HW(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:ff2Hff(t:ZZ)")) {
      sigmaPtr = new Sigma3ff2HfftZZ(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:ff2Hff(t:WW)")) {
      sigmaPtr = new Sigma3ff2HfftWW(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:gg2Httbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(6,0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesSM || settings.flag("HiggsSM:qqbar2Httbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(6,0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Further Standard-Model Higgs processes, not included in "all".
    if (settings.flag("HiggsSM:qg2Hq")) {
      sigmaPtr = new Sigma2qg2Hq(4,0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      sigmaPtr = new Sigma2qg2Hq(5,0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsSM:gg2Hbbbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(5,0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsSM:qqbar2Hbbbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(5,0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsSM:gg2Hg(l:t)")) {
      sigmaPtr = new Sigma2gg2Hglt(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsSM:qg2Hq(l:t)")) {
      sigmaPtr = new Sigma2qg2Hqlt(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsSM:qqbar2Hg(l:t)")) {
      sigmaPtr = new Sigma2qqbar2Hglt(0);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
  }

  // Common switch for the group of Higgs production BSM.
  if (useBSMHiggses) {
    bool HiggsesBSM = settings.flag("HiggsBSM:all");

    // Set up requested objects for BSM H1 production.
    bool HiggsesH1 = settings.flag("HiggsBSM:allH1");
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:ffbar2H1")) {
      sigmaPtr = new Sigma1ffbar2H(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:gg2H1")) {
      sigmaPtr = new Sigma1gg2H(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:gmgm2H1")) {
      sigmaPtr = new Sigma1gmgm2H(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:ffbar2H1Z")) {
      sigmaPtr = new Sigma2ffbar2HZ(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:ffbar2H1W")) {
      sigmaPtr = new Sigma2ffbar2HW(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:ff2H1ff(t:ZZ)")) {
      sigmaPtr = new Sigma3ff2HfftZZ(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:ff2H1ff(t:WW)")) {
      sigmaPtr = new Sigma3ff2HfftWW(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:gg2H1ttbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(6,1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH1 || settings.flag("HiggsBSM:qqbar2H1ttbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(6,1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Further BSM H1 processes, not included in "all".
    if (settings.flag("HiggsBSM:qg2H1q")) {
      sigmaPtr = new Sigma2qg2Hq(4,1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      sigmaPtr = new Sigma2qg2Hq(5,1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:gg2H1bbbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(5,1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qqbar2H1bbbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(5,1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:gg2H1g(l:t)")) {
      sigmaPtr = new Sigma2gg2Hglt(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qg2H1q(l:t)")) {
      sigmaPtr = new Sigma2qg2Hqlt(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qqbar2H1g(l:t)")) {
      sigmaPtr = new Sigma2qqbar2Hglt(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Set up requested objects for BSM H2 production.
    bool HiggsesH2 = settings.flag("HiggsBSM:allH2");
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:ffbar2H2")) {
      sigmaPtr = new Sigma1ffbar2H(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:gg2H2")) {
      sigmaPtr = new Sigma1gg2H(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:gmgm2H2")) {
      sigmaPtr = new Sigma1gmgm2H(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:ffbar2H2Z")) {
      sigmaPtr = new Sigma2ffbar2HZ(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:ffbar2H2W")) {
      sigmaPtr = new Sigma2ffbar2HW(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:ff2H2ff(t:ZZ)")) {
      sigmaPtr = new Sigma3ff2HfftZZ(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:ff2H2ff(t:WW)")) {
      sigmaPtr = new Sigma3ff2HfftWW(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:gg2H2ttbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(6,2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesH2 || settings.flag("HiggsBSM:qqbar2H2ttbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(6,2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Further BSM H2 processes, not included in "all".
   if (settings.flag("HiggsBSM:qg2H2q")) {
      sigmaPtr = new Sigma2qg2Hq(4,2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      sigmaPtr = new Sigma2qg2Hq(5,2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:gg2H2bbbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(5,2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qqbar2H2bbbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(5,2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:gg2H2g(l:t)")) {
      sigmaPtr = new Sigma2gg2Hglt(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qg2H2q(l:t)")) {
      sigmaPtr = new Sigma2qg2Hqlt(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qqbar2H2g(l:t)")) {
      sigmaPtr = new Sigma2qqbar2Hglt(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Set up requested objects for BSM A3 production.
    bool HiggsesA3 = settings.flag("HiggsBSM:allA3");
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:ffbar2A3")) {
      sigmaPtr = new Sigma1ffbar2H(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:gg2A3")) {
      sigmaPtr = new Sigma1gg2H(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:gmgm2A3")) {
      sigmaPtr = new Sigma1gmgm2H(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:ffbar2A3Z")) {
      sigmaPtr = new Sigma2ffbar2HZ(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:ffbar2A3W")) {
      sigmaPtr = new Sigma2ffbar2HW(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:ff2A3ff(t:ZZ)")) {
      sigmaPtr = new Sigma3ff2HfftZZ(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:ff2A3ff(t:WW)")) {
      sigmaPtr = new Sigma3ff2HfftWW(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:gg2A3ttbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(6,3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesA3 || settings.flag("HiggsBSM:qqbar2A3ttbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(6,3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Further BSM A3 processes, not included in "all".
    if (settings.flag("HiggsBSM:qg2A3q")) {
      sigmaPtr = new Sigma2qg2Hq(4,3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      sigmaPtr = new Sigma2qg2Hq(5,3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:gg2A3bbbar")) {
      sigmaPtr = new Sigma3gg2HQQbar(5,3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qqbar2A3bbbar")) {
      sigmaPtr = new Sigma3qqbar2HQQbar(5,3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:gg2A3g(l:t)")) {
      sigmaPtr = new Sigma2gg2Hglt(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qg2A3q(l:t)")) {
      sigmaPtr = new Sigma2qg2Hqlt(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (settings.flag("HiggsBSM:qqbar2A3g(l:t)")) {
      sigmaPtr = new Sigma2qqbar2Hglt(3);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Set up requested objects for Charged Higgs production
    bool HiggsesChg = settings.flag("HiggsBSM:allH+-");
    if (HiggsesBSM || HiggsesChg || settings.flag("HiggsBSM:ffbar2H+-")) {
      sigmaPtr = new Sigma1ffbar2Hchg;
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesChg || settings.flag("HiggsBSM:bg2H+-t")) {
      sigmaPtr = new Sigma2qg2Hchgq(6, 1062, "b g -> H+- t");
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }

    // Set up requested objects for Higgs pair-production
    bool HiggsesPairs = settings.flag("HiggsBSM:allHpair");
    if (HiggsesBSM || HiggsesPairs || settings.flag("HiggsBSM:ffbar2A3H1")) {
      sigmaPtr = new Sigma2ffbar2A3H12(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesPairs || settings.flag("HiggsBSM:ffbar2A3H2")) {
      sigmaPtr = new Sigma2ffbar2A3H12(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesPairs || settings.flag("HiggsBSM:ffbar2H+-H1")) {
      sigmaPtr = new Sigma2ffbar2HchgH12(1);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesPairs || settings.flag("HiggsBSM:ffbar2H+-H2")) {
      sigmaPtr = new Sigma2ffbar2HchgH12(2);
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
    if (HiggsesBSM || HiggsesPairs || settings.flag("HiggsBSM:ffbar2H+H-")) {
      sigmaPtr = new Sigma2ffbar2HposHneg();
      containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
    }
  }

  // Set up requested objects for SUSY pair processes.
  if (couplings->isSUSY) {
    CoupSUSY* coupSUSY = (CoupSUSY *) couplings;

    bool SUSYs = settings.flag("SUSY:all");
    bool nmssm = settings.flag("SLHA:NMSSM");

    // Preselected SUSY codes.
    setupIdVecs( settings);

    // MSSM: 4 neutralinos
    int nNeut = 4;
    if (nmssm) nNeut = 5;
    
    // Gluino-gluino
    if (SUSYs || settings.flag("SUSY:gg2gluinogluino")) {
      // Skip if outgoing codes not asked for
      if (allowIdVals( 1000021, 1000021)) {
        sigmaPtr = new Sigma2gg2gluinogluino();
        containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      }
    }
    if (SUSYs || settings.flag("SUSY:qqbar2gluinogluino")) {
      // Skip if outgoing codes not asked for
      if (allowIdVals( 1000021, 1000021)) {
        sigmaPtr = new Sigma2qqbar2gluinogluino();
        containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      }
    }
    
    // Gluino-squark
    if (SUSYs || settings.flag("SUSY:qg2squarkgluino")) {
      int iproc = 1202;
      for (int idx = 1; idx <= 6; ++idx) {
        for (int iso = 1; iso <= 2; ++iso) {
          iproc++;
          int id3 = iso + ((idx <= 3)
                  ? 1000000+2*(idx-1) : 2000000+2*(idx-4));
          int id4 = 1000021;
          // Skip if outgoing codes not asked for
          if (!allowIdVals( id3, id4)) continue;
          sigmaPtr = new Sigma2qg2squarkgluino(id3,iproc);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
        }
      }
    }
    
    // Squark-antisquark (gg initiated)
    if (SUSYs || settings.flag("SUSY:gg2squarkantisquark")) {
      int iproc = 1214;
      for (int idx = 1; idx <= 6; ++idx) {
        for (int iso = 1; iso <= 2; ++iso) {
          iproc++;
          int id = iso + ((idx <= 3)
                 ? 1000000+2*(idx-1) : 2000000+2*(idx-4));
          // Skip if outgoing codes not asked for
          if (!allowIdVals( id, id)) continue;
          sigmaPtr = new Sigma2gg2squarkantisquark(id,iproc);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
        }
      }
    }
    
    // Squark-antisquark (qqbar initiated)
    if (SUSYs || settings.flag("SUSY:qqbar2squarkantisquark")) {
      int iproc = 1230;
      for (int idx = 1; idx <= 6; ++idx) {
        for (int iso = 1; iso <= 2; ++iso) {
          for (int jso = iso; jso >= 1; --jso) {
            for (int jdx = 1; jdx <= 6; ++jdx) {
              if (iso == jso && jdx < idx) continue;
              int id1 = iso + ((idx <= 3) ? 1000000+2*(idx-1)
                               : 2000000+2*(idx-4));
              int id2 = jso + ((jdx <= 3) ? 1000000+2*(jdx-1)
                               : 2000000+2*(jdx-4));
              // Update process number counter (for ~q~q, +2 if not self-conj)
              //if (iproc == 1302) iproc=1310;
              iproc++;
              if (iso == jso && id1 != id2) iproc++;
              // Skip if outgoing codes not asked for
              if (!allowIdVals( id1, id2)) continue;
              if (iso == jso && id1 != id2) {
                sigmaPtr = new Sigma2qqbar2squarkantisquark(id1,-id2,iproc-1);
                containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
                sigmaPtr = new Sigma2qqbar2squarkantisquark(id2,-id1,iproc);
                containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
              } else {
                sigmaPtr = new Sigma2qqbar2squarkantisquark(id1,-id2,iproc);
                containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
              }
            }
          }
        }
      }
    }
    
    // Squark-squark
    if (SUSYs || settings.flag("SUSY:qq2squarksquark")) {
      int iproc = 1350;
      for (int idx = 1; idx <= 6; ++idx) {
        for (int iso = 1; iso <= 2; ++iso) {
          for (int jso = iso; jso >= 1; jso--) {
            for (int jdx = 1; jdx <= 6; ++jdx) {
              if (iso == jso && jdx < idx) continue;
              iproc++;
              int id1 = iso + ((idx <= 3)
                      ? 1000000+2*(idx-1) : 2000000+2*(idx-4));
              int id2 = jso + ((jdx <= 3)
                      ? 1000000+2*(jdx-1) : 2000000+2*(jdx-4));
              // Skip if outgoing codes not asked for
              if (!allowIdVals( id1, id2)) continue;
              sigmaPtr = new Sigma2qq2squarksquark(id1,id2,iproc);
              containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
            }
          }
        }
      }
    }
    
    // Neutralino + squark
    if (SUSYs || settings.flag("SUSY:qg2chi0squark")) {
      int iproc = 1430;
      for (int iNeut= 1; iNeut <= nNeut; iNeut++) {
        for (int idx = 1; idx <= 6; idx++) {
          bool isUp = false;
          for (int iso = 1; iso <= 2; iso++) {
            if (iso == 2) isUp = true;
            iproc++;
            int id3 = coupSUSY->idNeut(iNeut);
            int id4 = iso + ((idx <= 3)
                    ? 1000000+2*(idx-1) : 2000000+2*(idx-4));
            // Skip if outgoing codes not asked for
            if (!allowIdVals( id3, id4)) continue;
            sigmaPtr = new Sigma2qg2chi0squark(iNeut,idx,isUp,iproc);
            containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
          }
        }
      }
    }
    
    // Chargino + squark
    if (SUSYs || settings.flag("SUSY:qg2chi+-squark")) {
      int iproc = 1490;
      for (int iChar = 1; iChar <= 2; iChar++) {
        for (int idx = 1; idx <= 6; idx++) {
          bool isUp = false;
          for (int iso = 1; iso <= 2; iso++) {
            if (iso == 2) isUp = true;
            iproc++;
            int id3 = coupSUSY->idChar(iChar);
            int id4 = iso + ((idx <= 3)
                    ? 1000000+2*(idx-1) : 2000000+2*(idx-4));
            // Skip if outgoing codes not asked for
            if (!allowIdVals( id3, id4)) continue;
            sigmaPtr = new Sigma2qg2charsquark(iChar,idx,isUp,iproc);
            containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
          }
        }
      }
    }
    
    // Neutralino pairs
    if (SUSYs || settings.flag("SUSY:qqbar2chi0chi0")) {
      int iproc = 1550;
      for (int iNeut2 = 1; iNeut2 <= nNeut; iNeut2++) {
        for (int iNeut1 = 1; iNeut1 <= iNeut2; iNeut1++) {
          iproc++;
          // Skip if outgoing codes not asked for
          if (!allowIdVals( coupSUSY->idNeut(iNeut1),
            coupSUSY->idNeut(iNeut2) ) ) continue;
          sigmaPtr = new Sigma2qqbar2chi0chi0(iNeut1, iNeut2,iproc);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
        }
      }
    }
    
    // Neutralino-Chargino
    if (SUSYs || settings.flag("SUSY:qqbar2chi+-chi0")) {
      int iproc = 1570;
      for (int iNeut = 1; iNeut <= nNeut; iNeut++) {
        for (int iChar = 1; iChar <= 2; ++iChar) {
          iproc += 2;
          // Skip if outgoing codes not asked for
          if (!allowIdVals( coupSUSY->idNeut(iNeut),
            coupSUSY->idChar(iChar) ) ) continue;
          sigmaPtr = new Sigma2qqbar2charchi0( iChar, iNeut, iproc-1);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
          sigmaPtr = new Sigma2qqbar2charchi0(-iChar, iNeut, iproc);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
        }
      }
    }
    
    // Chargino-Chargino
    if (SUSYs || settings.flag("SUSY:qqbar2chi+chi-")) {
      int iproc = 1590;
      for (int i = 1; i <= 2; ++i) {
        for (int j = 1; j <= 2; ++j) {
          iproc++;
          // Skip if outgoing codes not asked for
          if (!allowIdVals( coupSUSY->idChar(i),
            coupSUSY->idChar(j) ) ) continue;
          sigmaPtr = new Sigma2qqbar2charchar( i,-j, iproc);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
        }
      }
    }
    
    // RPV squark production
    if(SUSYs || settings.flag("SUSY:qq2antisquark")) {
      for (int idx = 1; idx <= 6; ++idx) {
        for (int iso = 1; iso <= 2; ++iso) {
          int id1 = iso + ((idx <= 3) ? 1000000+2*(idx-1) : 2000000+2*(idx-4));
          // Skip if outgoing code not asked for
          if (!allowIdVals( id1, 0)) continue;
          sigmaPtr = new Sigma1qq2antisquark(id1);
          containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
        }
      }
    }
    
    // Neutralino-gluino
    if (SUSYs || settings.flag("SUSY:qqbar2chi0gluino")) {
      int iproc = 1600;
      for (int iNeut = 1; iNeut <= nNeut; iNeut++) {
        iproc++;
        // Skip if outgoing codes not asked for
        if (!allowIdVals( coupSUSY->idNeut(iNeut), 1000021)) continue;
        sigmaPtr = new Sigma2qqbar2chi0gluino(iNeut, iproc);
        containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      }
    }
    
    // Chargino-Gluino
    if (SUSYs || settings.flag("SUSY:qqbar2chi+-gluino")) {
      int iproc = 1620;
      for (int iChar = 1; iChar <= 2; ++iChar) {
        iproc ++;
        // Skip if outgoing codes not asked for
        if (!allowIdVals( coupSUSY->idChar(iChar), 1000021)) continue;
        sigmaPtr = new Sigma2qqbar2chargluino( iChar, iproc);
        containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
      }
    }
    
    // Slepton-antislepton (qqbar initiated); Currently no RH sneutrinos
    if (SUSYs || settings.flag("SUSY:qqbar2sleptonantislepton")) {
      int iproc = 1650;
      for (int idx = 1; idx <= 6; ++idx) {
        for (int iso = 1; iso <= 2; ++iso) {
          for (int jso = iso; jso >= 1; --jso) {
            for (int jdx = 1; jdx <= 6; ++jdx) {
              if (iso == jso && jdx < idx) continue;
              int id1 = iso + ((idx <= 3) ? 1000010+2*(idx-1)
                               : 2000010+2*(idx-4));
              int id2 = jso + ((jdx <= 3) ? 1000010+2*(jdx-1)
                               : 2000010+2*(jdx-4));
              // Update process number counter
              iproc++;
              if (iso == jso && id1 != id2) iproc++;
              // Skip if outgoing codes not asked for
              if (!allowIdVals( id1, id2)) continue;
              if (iso == jso && id1 != id2) {
                sigmaPtr
                  = new Sigma2qqbar2sleptonantislepton(id1,-id2,iproc-1);
                containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
                sigmaPtr = new Sigma2qqbar2sleptonantislepton(id2,-id1,iproc);
                containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
              } else {
                sigmaPtr = new Sigma2qqbar2sleptonantislepton(id1,-id2,iproc);
                containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
              }
            }
          }
        }
      }
    }

  } // End of SUSY processes.

  // Set up requested objects for New-Gauge-Boson processes.
  if (settings.flag("NewGaugeBoson:ffbar2gmZZprime")) {
    sigmaPtr = new Sigma1ffbar2gmZZprime();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("NewGaugeBoson:ffbar2Wprime")) {
    sigmaPtr = new Sigma1ffbar2Wprime();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("NewGaugeBoson:ffbar2R0")) {
    sigmaPtr = new Sigma1ffbar2Rhorizontal();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
   
  // Set up requested objects for Left-Right-Symmetry processes.
  bool leftrights = settings.flag("LeftRightSymmmetry:all");
  if (leftrights || settings.flag("LeftRightSymmmetry:ffbar2ZR")) {
    sigmaPtr = new Sigma1ffbar2ZRight();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ffbar2WR")) {
    sigmaPtr = new Sigma1ffbar2WRight();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ll2HL")) {
    sigmaPtr = new Sigma1ll2Hchgchg(1);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:lgm2HLe")) {
    sigmaPtr = new Sigma2lgm2Hchgchgl(1, 11);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:lgm2HLmu")) {
    sigmaPtr = new Sigma2lgm2Hchgchgl(1, 13);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:lgm2HLtau")) {
    sigmaPtr = new Sigma2lgm2Hchgchgl(1, 15);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ff2HLff")) {
    sigmaPtr = new Sigma3ff2HchgchgfftWW(1);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ffbar2HLHL")) {
    sigmaPtr = new Sigma2ffbar2HchgchgHchgchg(1);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ll2HR")) {
    sigmaPtr = new Sigma1ll2Hchgchg(2);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:lgm2HRe")) {
    sigmaPtr = new Sigma2lgm2Hchgchgl(2, 11);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:lgm2HRmu")) {
    sigmaPtr = new Sigma2lgm2Hchgchgl(2, 13);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:lgm2HRtau")) {
    sigmaPtr = new Sigma2lgm2Hchgchgl(2, 15);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ff2HRff")) {
    sigmaPtr = new Sigma3ff2HchgchgfftWW(2);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leftrights || settings.flag("LeftRightSymmmetry:ffbar2HRHR")) {
    sigmaPtr = new Sigma2ffbar2HchgchgHchgchg(2);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for leptoquark LQ processes.
  bool leptoquarks = settings.flag("LeptoQuark:all");
  if (leptoquarks || settings.flag("LeptoQuark:ql2LQ")) {
    sigmaPtr = new Sigma1ql2LeptoQuark;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leptoquarks || settings.flag("LeptoQuark:qg2LQl")) {
    sigmaPtr = new Sigma2qg2LeptoQuarkl;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leptoquarks || settings.flag("LeptoQuark:gg2LQLQbar")) {
    sigmaPtr = new Sigma2gg2LQLQbar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (leptoquarks || settings.flag("LeptoQuark:qqbar2LQLQbar")) {
    sigmaPtr = new Sigma2qqbar2LQLQbar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for excited-fermion processes.
  bool excitedfermions = settings.flag("ExcitedFermion:all");
  if (excitedfermions || settings.flag("ExcitedFermion:dg2dStar")) {
    sigmaPtr = new Sigma1qg2qStar(1);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:ug2uStar")) {
    sigmaPtr = new Sigma1qg2qStar(2);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:sg2sStar")) {
    sigmaPtr = new Sigma1qg2qStar(3);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:cg2cStar")) {
    sigmaPtr = new Sigma1qg2qStar(4);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:bg2bStar")) {
    sigmaPtr = new Sigma1qg2qStar(5);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:egm2eStar")) {
    sigmaPtr = new Sigma1lgm2lStar(11);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:mugm2muStar")) {
    sigmaPtr = new Sigma1lgm2lStar(13);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:taugm2tauStar")) {
    sigmaPtr = new Sigma1lgm2lStar(15);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qq2dStarq")) {
    sigmaPtr = new Sigma2qq2qStarq(1);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qq2uStarq")) {
    sigmaPtr = new Sigma2qq2qStarq(2);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qq2sStarq")) {
    sigmaPtr = new Sigma2qq2qStarq(3);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qq2cStarq")) {
    sigmaPtr = new Sigma2qq2qStarq(4);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qq2bStarq")) {
    sigmaPtr = new Sigma2qq2qStarq(5);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qqbar2eStare")) {
    sigmaPtr = new Sigma2qqbar2lStarlbar(11);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qqbar2nueStarnue")) {
    sigmaPtr = new Sigma2qqbar2lStarlbar(12);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qqbar2muStarmu")) {
    sigmaPtr = new Sigma2qqbar2lStarlbar(13);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qqbar2numuStarnumu")) {
    sigmaPtr = new Sigma2qqbar2lStarlbar(14);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions || settings.flag("ExcitedFermion:qqbar2tauStartau")) {
    sigmaPtr = new Sigma2qqbar2lStarlbar(15);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (excitedfermions
    || settings.flag("ExcitedFermion:qqbar2nutauStarnutau")) {
    sigmaPtr = new Sigma2qqbar2lStarlbar(16);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested objects for contact interaction processes.
  if (settings.flag("ContactInteractions:QCqq2qq")) {
    sigmaPtr = new Sigma2QCqq2qq();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ContactInteractions:QCqqbar2qqbar")) {
    sigmaPtr = new Sigma2QCqqbar2qqbar();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ContactInteractions:QCffbar2eebar")) {
    sigmaPtr = new Sigma2QCffbar2llbar(11, 4003);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ContactInteractions:QCffbar2mumubar")) {
    sigmaPtr = new Sigma2QCffbar2llbar(13, 4004);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ContactInteractions:QCffbar2tautaubar")) {
    sigmaPtr = new Sigma2QCffbar2llbar(15, 4005);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set spin of particles in the Hidden Valley scenario.
  int spinFv = settings.mode("HiddenValley:spinFv");
  for (int i = 1; i < 7; ++i) {
    if (particleDataPtr->spinType( 4900000 + i) != spinFv + 1)
        particleDataPtr->spinType( 4900000 + i,    spinFv + 1);
    if (particleDataPtr->spinType( 4900010 + i) != spinFv + 1)
        particleDataPtr->spinType( 4900010 + i,    spinFv + 1);
  }
  if (spinFv != 1) {
    if (particleDataPtr->spinType( 4900101) != 2)
       particleDataPtr->spinType( 4900101, 2);
  } else {
    int spinqv = settings.mode("HiddenValley:spinqv");
    if (particleDataPtr->spinType( 4900101) != 2 * spinqv + 1)
        particleDataPtr->spinType( 4900101,    2 * spinqv + 1);
  }
  
  // Set up requested objects for HiddenValley processes.
  bool hiddenvalleys = settings.flag("HiddenValley:all");
  if (hiddenvalleys || settings.flag("HiddenValley:gg2DvDvbar")) {
    sigmaPtr = new Sigma2gg2qGqGbar( 4900001, 4901, spinFv,
      "g g -> Dv Dvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:gg2UvUvbar")) {
    sigmaPtr = new Sigma2gg2qGqGbar( 4900002, 4902, spinFv,
      "g g -> Uv Uvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:gg2SvSvbar")) {
    sigmaPtr = new Sigma2gg2qGqGbar( 4900003, 4903, spinFv,
      "g g -> Sv Svbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:gg2CvCvbar")) {
    sigmaPtr = new Sigma2gg2qGqGbar( 4900004, 4904, spinFv,
      "g g -> Cv Cvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:gg2BvBvbar")) {
    sigmaPtr = new Sigma2gg2qGqGbar( 4900005, 4905, spinFv,
      "g g -> Bv Bvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:gg2TvTvbar")) {
    sigmaPtr = new Sigma2gg2qGqGbar( 4900006, 4906, spinFv,
      "g g -> Tv Tvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:qqbar2DvDvbar")) {
    sigmaPtr = new Sigma2qqbar2qGqGbar( 4900001, 4911, spinFv,
      "q qbar -> Dv Dvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:qqbar2UvUvbar")) {
    sigmaPtr = new Sigma2qqbar2qGqGbar( 4900002, 4912, spinFv,
      "q qbar -> Uv Uvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:qqbar2SvSvbar")) {
    sigmaPtr = new Sigma2qqbar2qGqGbar( 4900003, 4913, spinFv,
      "q qbar -> Sv Svbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:qqbar2CvCvbar")) {
    sigmaPtr = new Sigma2qqbar2qGqGbar( 4900004, 4914, spinFv,
      "q qbar -> Cv Cvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:qqbar2BvBvbar")) {
    sigmaPtr = new Sigma2qqbar2qGqGbar( 4900005, 4915, spinFv,
      "q qbar -> Bv Bvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:qqbar2TvTvbar")) {
    sigmaPtr = new Sigma2qqbar2qGqGbar( 4900006, 4916, spinFv,
      "q qbar -> Tv Tvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2DvDvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900001, 4921, spinFv,
      "f fbar -> Dv Dvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2UvUvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900002, 4922, spinFv,
      "f fbar -> Uv Uvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2SvSvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900003, 4923, spinFv,
      "f fbar -> Sv Svbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2CvCvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900004, 4924, spinFv,
      "f fbar -> Cv Cvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2BvBvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900005, 4925, spinFv,
      "f fbar -> Bv Bvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2TvTvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900006, 4926, spinFv,
      "f fbar -> Tv Tvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2EvEvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900011, 4931, spinFv,
      "f fbar -> Ev Evbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2nuEvnuEvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900012, 4932, spinFv,
      "f fbar -> nuEv nuEvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2MUvMUvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900013, 4933, spinFv,
      "f fbar -> MUv MUvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2nuMUvnuMUvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900014, 4934, spinFv,
      "f fbar -> nuMUv nuMUvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2TAUvTAUvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900015, 4935, spinFv,
      "f fbar -> TAUv TAUvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2nuTAUvnuTAUvbar")) {
    sigmaPtr = new Sigma2ffbar2fGfGbar( 4900016, 4936, spinFv,
      "f fbar -> nuTAUv nuTAUvbar");
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (hiddenvalleys || settings.flag("HiddenValley:ffbar2Zv")) {
    sigmaPtr = new Sigma1ffbar2Zv();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Set up requested objects for RS extra-dimensional G* processes.
  bool extraDimGstars = settings.flag("ExtraDimensionsG*:all");
  if (extraDimGstars || settings.flag("ExtraDimensionsG*:gg2G*")) {
    sigmaPtr = new Sigma1gg2GravitonStar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimGstars || settings.flag("ExtraDimensionsG*:ffbar2G*")) {
    sigmaPtr = new Sigma1ffbar2GravitonStar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsG*:gg2G*g")) {
    sigmaPtr = new Sigma2gg2GravitonStarg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsG*:qg2G*q")) {
    sigmaPtr = new Sigma2qg2GravitonStarq;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsG*:qqbar2G*g")) {
    sigmaPtr = new Sigma2qqbar2GravitonStarg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  //  Set up requested objects for RS extra-dimensional KKgluon processes.
  if (settings.flag("ExtraDimensionsG*:qqbar2KKgluon*")) {
    sigmaPtr = new Sigma1qqbar2KKgluonStar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // NOAM: Set up requested objects for TEV extra-dimensional processes.
  if (settings.flag("ExtraDimensionsTEV:ffbar2ddbar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(1, 5061);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2uubar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(2, 5062);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2ssbar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(3, 5063);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2ccbar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(4, 5064);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2bbbar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(5, 5065);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2ttbar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(6, 5066);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2e+e-")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(11, 5071);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2nuenuebar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(12, 5072);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2mu+mu-")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(13, 5073);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2numunumubar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(14, 5074);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2tau+tau-")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(15, 5075);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsTEV:ffbar2nutaunutaubar")) {
    sigmaPtr = new Sigma2ffbar2TEVffbar(16, 5076);
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested objects for large extra-dimensional G processes.
  bool extraDimLEDmono = settings.flag("ExtraDimensionsLED:monojet");
  if (extraDimLEDmono || settings.flag("ExtraDimensionsLED:gg2Gg")) {
    sigmaPtr = new Sigma2gg2LEDUnparticleg( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDmono || settings.flag("ExtraDimensionsLED:qg2Gq")) {
    sigmaPtr = new Sigma2qg2LEDUnparticleq( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDmono || settings.flag("ExtraDimensionsLED:qqbar2Gg")) {
    sigmaPtr = new Sigma2qqbar2LEDUnparticleg( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsLED:ffbar2GZ")) {
    sigmaPtr = new Sigma2ffbar2LEDUnparticleZ( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsLED:ffbar2Ggamma")) {
    sigmaPtr = new Sigma2ffbar2LEDUnparticlegamma( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsLED:ffbar2gammagamma")) {
    sigmaPtr = new Sigma2ffbar2LEDgammagamma( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsLED:gg2gammagamma")) {
    sigmaPtr = new Sigma2gg2LEDgammagamma( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsLED:ffbar2llbar")) {
    sigmaPtr = new Sigma2ffbar2LEDllbar( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsLED:gg2llbar")) {
    sigmaPtr = new Sigma2gg2LEDllbar( true );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  bool extraDimLEDdij = settings.flag("ExtraDimensionsLED:dijets");
  if (extraDimLEDdij || settings.flag("ExtraDimensionsLED:gg2DJgg")) {
    sigmaPtr = new Sigma2gg2LEDgg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDdij || settings.flag("ExtraDimensionsLED:gg2DJqqbar")) {
    sigmaPtr = new Sigma2gg2LEDqqbar;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDdij || settings.flag("ExtraDimensionsLED:qg2DJqg")) {
    sigmaPtr = new Sigma2qg2LEDqg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDdij || settings.flag("ExtraDimensionsLED:qq2DJqq")) {
    sigmaPtr = new Sigma2qq2LEDqq;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDdij || settings.flag("ExtraDimensionsLED:qqbar2DJgg")) {
    sigmaPtr = new Sigma2qqbar2LEDgg;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimLEDdij || settings.flag("ExtraDimensionsLED:qqbar2DJqqbarNew")) {
    sigmaPtr = new Sigma2qqbar2LEDqqbarNew;
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Set up requested objects for unparticle processes.
  bool extraDimUnpartmono = settings.flag("ExtraDimensionsUnpart:monojet");
  if (extraDimUnpartmono || settings.flag("ExtraDimensionsUnpart:gg2Ug")) {
    sigmaPtr = new Sigma2gg2LEDUnparticleg( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimUnpartmono || settings.flag("ExtraDimensionsUnpart:qg2Uq")) {
    sigmaPtr = new Sigma2qg2LEDUnparticleq( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (extraDimUnpartmono || settings.flag("ExtraDimensionsUnpart:qqbar2Ug")) {
    sigmaPtr = new Sigma2qqbar2LEDUnparticleg( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsUnpart:ffbar2UZ")) {
    sigmaPtr = new Sigma2ffbar2LEDUnparticleZ( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsUnpart:ffbar2Ugamma")) {
    sigmaPtr = new Sigma2ffbar2LEDUnparticlegamma( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsUnpart:ffbar2gammagamma")) {
    sigmaPtr = new Sigma2ffbar2LEDgammagamma( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsUnpart:gg2gammagamma")) {
    sigmaPtr = new Sigma2gg2LEDgammagamma( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsUnpart:ffbar2llbar")) {
    sigmaPtr = new Sigma2ffbar2LEDllbar( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  if (settings.flag("ExtraDimensionsUnpart:gg2llbar")) {
    sigmaPtr = new Sigma2gg2LEDllbar( false );
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Routine to initialize list of second hard processes.

bool SetupContainers::init2(vector& container2Ptrs,
  Settings& settings) {

  // Reset process list, if filled in previous subrun.
  if (container2Ptrs.size() > 0) {
    for (int i = 0; i < int(container2Ptrs.size()); ++i)
      delete container2Ptrs[i];
    container2Ptrs.clear();
  }
  SigmaProcess* sigmaPtr;

  // Two hard QCD jets.
  if (settings.flag("SecondHard:TwoJets")) {
    sigmaPtr = new Sigma2gg2gg;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2gg2qqbar;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qg2qg;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qq2qq;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2gg;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2qqbarNew;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2gg2QQbar(4, 121);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2QQbar(4, 122);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2gg2QQbar(5, 123);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2QQbar(5, 124);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // A prompt photon and a hard jet.
  if (settings.flag("SecondHard:PhotonAndJet")) {
    sigmaPtr = new Sigma2qg2qgamma;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2ggamma;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2gg2ggamma;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Two prompt photons.
  if (settings.flag("SecondHard:TwoPhotons")) {
    sigmaPtr = new Sigma2ffbar2gammagamma;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2gg2gammagamma;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }
 
  // Charmonium.
  if (settings.flag("SecondHard:Charmonium")) {
    vector charmoniumSigmaPtrs;
    charmonium.setupSigma2gg(charmoniumSigmaPtrs, true);
    charmonium.setupSigma2qg(charmoniumSigmaPtrs, true);
    charmonium.setupSigma2qq(charmoniumSigmaPtrs, true);
    for (unsigned int i = 0; i < charmoniumSigmaPtrs.size(); ++i)
      container2Ptrs.push_back( new ProcessContainer(charmoniumSigmaPtrs[i]) );
  }

  // Bottomonium.
  if (settings.flag("SecondHard:Bottomonium")) {
    vector bottomoniumSigmaPtrs;
    bottomonium.setupSigma2gg(bottomoniumSigmaPtrs, true);
    bottomonium.setupSigma2qg(bottomoniumSigmaPtrs, true);
    bottomonium.setupSigma2qq(bottomoniumSigmaPtrs, true);
    for (unsigned int i = 0; i < bottomoniumSigmaPtrs.size(); ++i)
      container2Ptrs.push_back( new ProcessContainer(bottomoniumSigmaPtrs[i]) );
  }

  // A single gamma*/Z0.
  if (settings.flag("SecondHard:SingleGmZ")) {
    sigmaPtr = new Sigma1ffbar2gmZ;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // A single W+-.
  if (settings.flag("SecondHard:SingleW")) {
    sigmaPtr = new Sigma1ffbar2W;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // A gamma*/Z0 and a hard jet.
  if (settings.flag("SecondHard:GmZAndJet")) {
    sigmaPtr = new Sigma2qqbar2gmZg;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qg2gmZq;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // A W+- and a hard jet.
  if (settings.flag("SecondHard:WAndJet")) {
    sigmaPtr = new Sigma2qqbar2Wg;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qg2Wq;
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }
  
  // Top pair production.
  if (settings.flag("SecondHard:TopPair")) {
    sigmaPtr = new Sigma2gg2QQbar(6, 601);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2QQbar(6, 602);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2ffbar2FFbarsgmZ(6, 604);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Single top production.
  if (settings.flag("SecondHard:SingleTop")) {
    sigmaPtr = new Sigma2qq2QqtW(6, 603);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2ffbar2FfbarsW(6, 0, 605);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Two b jets - already part of TwoJets sample above.
  if (settings.flag("SecondHard:TwoBJets")) {
    sigmaPtr = new Sigma2gg2QQbar(5, 123);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
    sigmaPtr = new Sigma2qqbar2QQbar(5, 124);
    container2Ptrs.push_back( new ProcessContainer(sigmaPtr) );
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Set up arrays of allowed outgoing SUSY particles.

void SetupContainers::setupIdVecs( Settings& settings) {

  // First array either none, one or many particles.
  idVecA.resize(0);
  if (settings.mode("SUSY:idA") != 0) {
    idVecA.push_back( abs(settings.mode("SUSY:idA")) );
  } else {
    vector idTmpA = settings.mvec("SUSY:idVecA");
    for (int i = 0; i < int(idTmpA.size()); ++i)
      if (idTmpA[i] != 0) idVecA.push_back( abs(idTmpA[i]) );
  }
  nVecA = idVecA.size();

  // Second array either none, one or many particles.
  idVecB.resize(0);
  if (settings.mode("SUSY:idB") != 0) {
    idVecB.push_back( abs(settings.mode("SUSY:idB")) );
  } else {
    vector idTmpB = settings.mvec("SUSY:idVecB");
    for (int i = 0; i < int(idTmpB.size()); ++i)
    if (idTmpB[i] != 0) idVecB.push_back( abs(idTmpB[i]) );
  }
  nVecB = idVecB.size();

}

//--------------------------------------------------------------------------

// Check final state for allowed outgoing SUSY particles.
// Normally check two codes, but allow for only one.

bool SetupContainers::allowIdVals( int idCheck1, int idCheck2) {

  // If empty arrays or id's no need for checks. Else need absolute values.
  if (nVecA == 0 && nVecB == 0) return true;
  if (idCheck1 == 0 && idCheck2 == 0) return true;
  int idChk1 = abs(idCheck1);
  int idChk2 = abs(idCheck2);

  // If only one outgoing particle then check idVecA and idVecB.
  if (idChk1 == 0) swap(idChk1, idChk2);
  if (idChk2 == 0) {
    for (int i = 0; i < nVecA; ++i) if (idChk1 == idVecA[i]) return true;
    for (int i = 0; i < nVecB; ++i) if (idChk1 == idVecB[i]) return true;
    return false;
  }

  // If empty array idVecB then compare with idVecA.
  if (nVecB == 0) {
    for (int i = 0; i < nVecA; ++i)
      if (idChk1 == idVecA[i] || idChk2 == idVecA[i]) return true;
    return false;
  }

  // If empty array idVecA then compare with idVecB.
  if (nVecA == 0) {
    for (int i = 0; i < nVecB; ++i)
      if (idChk1 == idVecB[i] || idChk2 == idVecB[i]) return true;
    return false;
  }

  // Else check that pair matches allowed combinations.
  for (int i = 0; i < nVecA; ++i)
  for (int j = 0; j < nVecB; ++j)
    if ( (idChk1 == idVecA[i] && idChk2 == idVecB[j])
      || (idChk2 == idVecA[i] && idChk1 == idVecB[j]) ) return true;
  return false;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SusyResonanceWidths.cc0000644000175000017500000013206412357054765017445 0ustar  sunsun// SusyResonanceWidths.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand
// Authors: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// SUSY Resonance widths classes.

#include "Pythia8/SusyResonanceWidths.h"
#include "Pythia8/SusyCouplings.h"
#include "Pythia8/ParticleData.h"
#include "Pythia8/PythiaComplex.h"

namespace Pythia8 {

//==========================================================================

// WidthFunctions Class

// Contains functions to be integrated for calculating the 3-body
// decay widths

//--------------------------------------------------------------------------

void WidthFunction::init( ParticleData* particleDataPtrIn,
  CoupSUSY* coupSUSYPtrIn) {

  particleDataPtr = particleDataPtrIn;
  coupSUSYPtr = coupSUSYPtrIn;

}

//--------------------------------------------------------------------------

void WidthFunction::setInternal2(int idResIn, int id1In, int id2In,
  int id3In, int idIntIn) {

  // Res -> 1,2,3
  idRes = idResIn;
  id1 = id1In;
  id2 = id2In;
  id3 = id3In;
  idInt = idIntIn;

  mRes = particleDataPtr->m0(idRes);
  m1 = particleDataPtr->m0(id1);
  m2 = particleDataPtr->m0(id2);
  m3 = particleDataPtr->m0(id3);

  // Internal propagator
  mInt = particleDataPtr->m0(idInt);
  gammaInt = particleDataPtr->mWidth(idInt);

  return;
}

//--------------------------------------------------------------------------

double WidthFunction::function(double) {

  cout<<"Warning using dummy width function"<m0(idInt);
  gammaInt = particleDataPtr->mWidth(idInt);
  iX = coupSUSYPtr->typeNeut(idRes);
  iQ = (id3+1)/2;
  iSq = (idInt>1000000)? 3 + (idInt%10+1)/2 :  (idInt%10+1)/2;
  isSqDown = (idInt % 2 == 1)? true : false;
  m1 = particleDataPtr->m0(id1);
  m2 = particleDataPtr->m0(id2);
  m3 = particleDataPtr->m0(id3);
  return;
}

//--------------------------------------------------------------------------

void Upsilon::setInternal (int idResIn, int id1In, int id2In, int id3In,
  int idIntIn, int idInt2In) {

  setInternal2(idResIn, id1In, id2In, id3In, idIntIn);

  idInt2 = idInt2In;
  mInt = particleDataPtr->m0(idInt);
  gammaInt = particleDataPtr->mWidth(idInt);
  mInt2 = particleDataPtr->m0(idInt2);
  gammaInt2 = particleDataPtr->mWidth(idInt2);

  iX = coupSUSYPtr->typeNeut(idRes);
  iQ = (id3+1)/2;
  iSq  = (idInt>1000000)? 3 + (idInt%10+1)/2 :  (idInt%10+1)/2;
  iSq2 = (idInt2>1000000)? 3 + (idInt2%10+1)/2 :  (idInt2%10+1)/2;
  isSqDown = (idIntIn % 2 == 1)? true : false;
  m1 = particleDataPtr->m0(id1);
  m2 = particleDataPtr->m0(id2);
  m3 = particleDataPtr->m0(id3);
  return;
}

//--------------------------------------------------------------------------

void Phi::setInternal (int idResIn, int id1In, int id2In, int id3In,
  int idIntIn, int idInt2In) {

  setInternal2(idResIn, id1In, id2In, id3In, idIntIn);

  idInt2 = idInt2In;
  mInt = particleDataPtr->m0(idInt);
  gammaInt = particleDataPtr->mWidth(idInt);
  mInt2 = particleDataPtr->m0(idInt2);
  gammaInt2 = particleDataPtr->mWidth(idInt2);

  iX = coupSUSYPtr->typeNeut(idRes);
  iQ = (id3+1)/2;
  iSq  = (idInt>1000000)? 3 + (idInt%10+1)/2 :  (idInt%10+1)/2;
  iSq2 = (idInt2>1000000)? 3 + (idInt2%10+1)/2 :  (idInt2%10+1)/2;
  isSqDown = (idIntIn % 2 == 1)? true : false;
  m1 = particleDataPtr->m0(id1);
  m2 = particleDataPtr->m0(id2);
  m3 = particleDataPtr->m0(id3);
  return;
}

//--------------------------------------------------------------------------

double Psi::function(double m12sq) {

  double R, factor1, factor2, value;

  // Check that the propagators are offshell
  if (m12sq > pow2(mInt) || abs(m12sq - pow2(mInt)) < gammaInt) return 0;

  R = 1.0/(pow2(m12sq-pow2(mInt)) + pow2(gammaInt*mInt));
  if (isSqDown){
    factor1 = (norm(coupSUSYPtr->LsddX[iSq][iQ][iX])
               + norm(coupSUSYPtr->RsddX[iSq][iQ][iX]))*
      (mRes*mRes + m3*m3 - m12sq);
    factor2 = 4.0 * real(coupSUSYPtr->LsddX[iSq][iQ][iX]
                         * conj(coupSUSYPtr->RsddX[iSq][iQ][iX])) * m3 * mRes;

  } else {
    factor1 = (norm(coupSUSYPtr->LsuuX[iSq][iQ][iX])
               + norm(coupSUSYPtr->RsuuX[iSq][iQ][iX]))*
      (mRes*mRes + m3*m3 - m12sq);
    factor2 = 4.0 * real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                         * conj(coupSUSYPtr->RsuuX[iSq][iQ][iX])) * m3 * mRes;
  }

  value = R * (m12sq - m1*m1 - m2*m2) * (factor1+factor2);

  return value;
}


//--------------------------------------------------------------------------

double Upsilon::function(double m12sq) {

  double R1,R2, S, factor1, factor2, value;

  // Check that the propagators are offshell
  if (m12sq > pow2(mInt) || abs(m12sq - pow2(mInt)) < gammaInt) return 0;
  if (m12sq > pow2(mInt2) || abs(m12sq - pow2(mInt2)) < gammaInt2) return 0;
  
  R1 = 1.0/(pow2(m12sq-pow2(mInt)) + pow2(gammaInt*mInt));
  R2 =  1.0/(pow2(m12sq-pow2(mInt2)) + pow2(gammaInt2*mInt2));
  S = R1 * R2 * ((m12sq - pow2(mInt)) * (m12sq - pow2(mInt2))
                 + gammaInt * mInt * gammaInt2 * mInt2);

  if (isSqDown){
    factor1 = real(coupSUSYPtr->LsddX[iSq][iQ][iX]
                   * conj(coupSUSYPtr->LsddX[iSq2][iQ][iX]))
      + real(coupSUSYPtr->RsddX[iSq][iQ][iX]
             * conj(coupSUSYPtr->RsddX[iSq2][iQ][iX]));
    factor2 = real(coupSUSYPtr->LsddX[iSq][iQ][iX]
                   * conj(coupSUSYPtr->RsddX[iSq2][iQ][iX]))
      + real(coupSUSYPtr->RsddX[iSq][iQ][iX]
             * conj(coupSUSYPtr->LsddX[iSq2][iQ][iX]));
  }else{
    factor1 = real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                   * conj(coupSUSYPtr->LsuuX[iSq2][iQ][iX]))
      + real(coupSUSYPtr->RsuuX[iSq][iQ][iX]
             * conj(coupSUSYPtr->RsuuX[iSq2][iQ][iX]));
    factor2 = real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                   * conj(coupSUSYPtr->RsuuX[iSq2][iQ][iX]))
      + real(coupSUSYPtr->RsuuX[iSq][iQ][iX]
             * conj(coupSUSYPtr->LsuuX[iSq2][iQ][iX]));
  }

  value = S * (m12sq - pow2(m1) - pow2(m2)) *
    ( factor1 * (pow2(mRes) + pow2(m3) - m12sq) + 2.0 * factor2 * m3 * mRes);

  //  cout<<"I1: "< pow2(mInt) || abs(m12sq - pow2(mInt)) < gammaInt) return 0;

  double m23max, m23min, E2, E3;

  E2 = (m12sq - pow2(m1) - pow2(m2))/(2.0 * sqrt(m12sq));
  E3 = (pow2(mRes) - m12sq - pow2(m3))/(2.0 * sqrt(m12sq));
  m23max = pow2(E2+E3) - (sqrt(E2*E2 - m2*m2) - sqrt(E3*E3 - m3*m3)) ;
  m23min = pow2(E2+E3) - (sqrt(E2*E2 - m2*m2) + sqrt(E3*E3 - m3*m3)) ;

  if (E2 < m2 || E3 < m3){
    cout <<"Error in Phi:function"< pow2(mInt2) || abs(m23sq - pow2(mInt2)) < gammaInt2) return 0;

  double R1, R2, S, factor1, factor2, factor3, factor4, value, fac;
  int iQ2;

  R1 = 1.0/(pow2(m12sq-pow2(mInt)) + pow2(gammaInt*mInt));
  R2 = 1.0/(pow2(m12sq-pow2(mInt2)) + pow2(gammaInt2*mInt2));
  S = R1 * R2 * ((m12sq - pow2(mInt)) * (m12sq - pow2(mInt2))
    + gammaInt * mInt * gammaInt2 * mInt2);

  fac = 1.0;

  if (isSqDown){
    // Only factor is when both d_i and d_j are near.
    iQ2 = (id1%2 == 1)? (id1+1)/2 : (id2+1)/2;

    if (mRes > mInt2 + particleDataPtr->m0(iQ2)) fac = 0.;

    factor1 = m1 * m3 * real(coupSUSYPtr->LsddX[iSq][iQ][iX]
                             * conj(coupSUSYPtr->LsddX[iSq2][iQ2][iX]))
      * (m12sq + m23sq - pow2(m1) - pow2(m3));
    factor2 = m1 * mRes * real(coupSUSYPtr->RsddX[iSq][iQ][iX]
                               * conj(coupSUSYPtr->LsddX[iSq2][iQ2][iX]))
      * (m23sq - pow2(m2) - pow2(m3));
    factor3 = m3 * mRes * real(coupSUSYPtr->LsddX[iSq][iQ][iX]
                               * conj(coupSUSYPtr->RsddX[iSq2][iQ2][iX]))
      * (m12sq - pow2(m1) - pow2(m2));
    factor4 = m3 * mRes * real(coupSUSYPtr->RsddX[iSq][iQ][iX]
                               * conj(coupSUSYPtr->RsddX[iSq2][iQ2][iX]))
      * (m12sq * m23sq - pow2(m1 * m3) - pow2(m2 * mRes));

  }else{
    // Factor A: u and d_1
    iQ2 = (id1+1)/2;

    if (mRes > mInt2 + particleDataPtr->m0(iQ2)) fac = 0.;

    factor1 = m1 * m3 * real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                             * conj(coupSUSYPtr->LsddX[iSq2][iQ2][iX]))
      * (m12sq + m23sq - pow2(m1) - pow2(m3));
    factor2 = m1 * mRes * real(coupSUSYPtr->RsuuX[iSq][iQ][iX]
                               * conj(coupSUSYPtr->LsddX[iSq2][iQ2][iX]))
      * (m23sq - pow2(m2) - pow2(m3));
    factor3 = m3 * mRes * real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                               * conj(coupSUSYPtr->RsddX[iSq2][iQ2][iX]))
      * (m12sq - pow2(m1) - pow2(m2));
    factor4 = m3 * mRes * real(coupSUSYPtr->RsuuX[iSq][iQ][iX]
                               * conj(coupSUSYPtr->RsddX[iSq2][iQ2][iX]))
      * (m12sq * m23sq - pow2(m1 * m3) - pow2(m2 * mRes));


    // Factor B: u and d_2; change 1 <=> 2
    iQ2 = (id2+1)/2;

    if (mRes > mInt2 + particleDataPtr->m0(iQ2)) fac = 0.;

    factor1 += m2 * m3 * real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                              * conj(coupSUSYPtr->LsddX[iSq2][iQ2][iX]))
      * (m12sq + m23sq - pow2(m2) - pow2(m3));
    factor2 += m2 * mRes * real(coupSUSYPtr->RsuuX[iSq][iQ][iX]
                                * conj(coupSUSYPtr->LsddX[iSq2][iQ2][iX]))
      * (m23sq - pow2(m1) - pow2(m3));
    factor3 += m3 * mRes * real(coupSUSYPtr->LsuuX[iSq][iQ][iX]
                                * conj(coupSUSYPtr->RsddX[iSq2][iQ2][iX]))
      * (m12sq - pow2(m2) - pow2(m1));
    factor4 += m3 * mRes * real(coupSUSYPtr->RsuuX[iSq][iQ][iX]
                                * conj(coupSUSYPtr->RsddX[iSq2][iQ2][iX]))
      * (m12sq * m23sq - pow2(m2 * m3) - pow2(m1 * mRes));
  }

  value = S * (factor1 + factor2 + factor3 + factor4);

  //  cout<<"I1: "< xhi ) {
    cerr<<" (integrateGauss:) -> xhi < xlo"<isSUSY) {
    coupSUSYPtr     = (CoupSUSY *) couplingsPtr;
    return true;
  }

  return false;
}


//--------------------------------------------------------------------------

bool SUSYResonanceWidths::allowCalc(){

  // Check if decay calculations at all possible
  if ( !couplingsPtr->isSUSY ) return false;

  // Next check if SLHA decay tables are ignored (= always do calculation)
  if ( !settingsPtr->flag("SLHA:useDecayTable") ) return true;

  // Next check if decay table was read in via SLHA and takes precedence
  for ( int iDec = 1; iDec < int((coupSUSYPtr->slhaPtr)->decays.size());
    ++iDec)
    if ( (coupSUSYPtr->slhaPtr)->decays[iDec].getId() == abs(idRes) ) {
      if (DBSUSY) cout<<"Using external decay table for:"<sin2W;

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceSquark::calcPreFac(bool) {

  // Common coupling factors.
  alpS   = coupSUSYPtr->alphaS(mHat * mHat );
  alpEM  = coupSUSYPtr->alphaEM(mHat * mHat);
  preFac = 1.0 / (s2W * pow(mHat,3));
  ps *= mHat * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceSquark::calcWidth(bool) {

  // Squark type -- in u_i/d_i and generation
  int ksusy = 1000000;
  bool idown = (abs(idRes)%2 == 0 ? false : true);
  int isq = (abs(idRes)/ksusy == 2) ?
    (abs(idRes)%10+1)/2 + 3: (abs(idRes)%10+1)/2;
  // int isqgen = (abs(idRes)%10 + 1)/2;

  // Check that mass is above threshold.
  if (ps == 0.) return;
  else{
    // Two-body decays
    kinFac = (mHat * mHat - mf1 * mf1 - mf2 * mf2);
    
    double fac = 0.0 , wid = 0.0;
  
    //RPV decays
    //Case 1a:  UDD-type
    if (id1Abs < 7 && id2Abs < 7){
      
      // Quark generations
      int iq1 = (id1Abs + 1)/2;
      int iq2 = (id2Abs + 1)/2;
      
      // Check for RPV UDD couplings
      if (!coupSUSYPtr->isUDD) {widNow = 0; return;}
      
      // ~q -> q_i + q_j
      
      fac = 2.0 * kinFac / (16.0 * M_PI * pow(mHat,3));
      wid = 0.0;
      if (idown) {
        if ((id1Abs+id2Abs)%2 == 1){
          if (id1Abs%2==1)
            for (int isq2 = 1; isq2 < 4; isq2++)
              wid += norm(coupSUSYPtr->rvUDD[iq2][iq1][isq2]
                   * coupSUSYPtr->Rdsq[isq][isq2+3]);
          else
            for (int isq2 = 1; isq2 < 4; isq2++)
              wid += norm(coupSUSYPtr->rvUDD[iq1][iq2][isq2]
                   * coupSUSYPtr->Rdsq[isq][isq2+3]);
        }
      }
      else {
        if ((id1Abs+id2Abs)%2 != 0) widNow = 0.0;
        else
          for (int isq2 = 1; isq2 < 4; isq2++)
            wid += norm(coupSUSYPtr->rvUDD[isq2][iq1][iq2]
                 * coupSUSYPtr->Rusq[isq][isq2+3]);
      }
  }
    
    //Case 1b:  LQD-type
    else if (id1Abs < 17 && id2Abs < 7){
      if (!coupSUSYPtr->isLQD) {widNow = 0; return;}
      
      int ilep = (id1Abs - 9)/2;
      int iq = (id2Abs + 1)/2;
    
      fac = kinFac / (16.0 * M_PI * pow(mHat,3));
      wid = 0.0;
      if (idown){
        if (iq%2 == 0){
          // q is up-type; ~q is right-handed down type
          for (int isq2=1; isq2<3; isq2++)
            wid += norm(coupSUSYPtr->Rdsq[isq][isq2+3]
                 * coupSUSYPtr->rvLQD[ilep][iq][isq2]);
        }else{
          //q is down type; ~q left-handed down-type
          for (int isq2=1; isq2<3; isq2++)
            wid += norm(coupSUSYPtr->Rdsq[isq][isq2]
                 * coupSUSYPtr->rvLQD[ilep][isq2][isq2]);
        }
      }
      else{
        if (iq%2 == 0) {widNow = 0.0; return;}
        // q is down type; ~q is left-handed up-type
        for (int isq2=1; isq2<3; isq2++)
          wid += norm(coupSUSYPtr->Rusq[isq][isq2]
               * coupSUSYPtr->rvLQD[ilep][isq2][iq]);
      }
    }
    
    //Case 2: quark + gaugino
    else if (id1Abs > ksusy && id2Abs < 7) {
      
      int iq = (id2Abs + 1)/2;
      
      // ~q -> ~g + q
      if (id1Abs == 1000021 && idRes%10 == id2Abs) {
        // Removed factor of s2W in denominator: strong process -- no EW
        fac = 2.0 * alpS / (3.0 * pow3(mHat));
        if (idown)
          wid = kinFac * (norm(coupSUSYPtr->LsddG[isq][iq])
              + norm(coupSUSYPtr->RsddG[isq][iq]))
              - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsddG[isq][iq]
              * conj(coupSUSYPtr->RsddG[isq][iq]));
        else
          wid = kinFac * (norm(coupSUSYPtr->LsuuG[isq][iq])
              + norm(coupSUSYPtr->RsuuG[isq][iq]))
              - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsuuG[isq][iq]
              * conj(coupSUSYPtr->RsuuG[isq][iq]));
      }
      else
        for (int i=1; i<6 ; i++){
          // ~q -> ~chi0 + q
          if (coupSUSYPtr->idNeut(i)==id1Abs && idRes%2 == id2Abs%2){
            fac = alpEM *  preFac / (2.0 * (1 - s2W));
            if (idown)
              wid = kinFac * (norm(coupSUSYPtr->LsddX[isq][iq][i])
                  + norm(coupSUSYPtr->RsddX[isq][iq][i]))
                  - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsddX[isq][iq][i]
                  * conj(coupSUSYPtr->RsddX[isq][iq][i]));
            else
              wid = kinFac * (norm(coupSUSYPtr->LsuuX[isq][iq][i])
                  + norm(coupSUSYPtr->RsuuX[isq][iq][i]))
                  - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsuuX[isq][iq][i]
                  * conj(coupSUSYPtr->RsuuX[isq][iq][i]));
          }
          
          // ~q -> chi- + q
          else if (i < 3 && coupSUSYPtr->idChar(i)==id1Abs
            && idRes%2 != id2Abs%2){
            
            fac = alpEM *  preFac / (4.0 * (1 - s2W));
            if (idown)
              wid = kinFac * (norm(coupSUSYPtr->LsduX[isq][iq][i])
                  + norm(coupSUSYPtr->RsduX[isq][iq][i]))
                  - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsduX[isq][iq][i]
                  * conj(coupSUSYPtr->RsduX[isq][iq][i]));
            else
              wid = kinFac * (norm(coupSUSYPtr->LsudX[isq][iq][i])
                  + norm(coupSUSYPtr->RsudX[isq][iq][i]))
                  - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsudX[isq][iq][i]
                  * conj(coupSUSYPtr->RsudX[isq][iq][i]));
          }
        }
    }
    
    //Case 3: ~q_i -> ~q_j + Z/W
    else if (id1Abs > ksusy && id1Abs%100 < 7
      && (id2Abs == 23 || id2Abs == 24)){
      
      // factor of lambda^(3/2) = ps^(3/2) ;
      fac = alpEM * preFac/(16.0 * pow2(particleDataPtr->m0(id2Abs))
          * (1.0 - s2W)) * pow2(ps) ;
      
      int isq2 = (id1Abs/ksusy == 2) ? (id1Abs%10+1)/2 + 3: (id1Abs%10+1)/2;
      
      if (id2Abs == 23 && id1Abs%2 == idRes%2){
        if (idown)
          wid = norm(coupSUSYPtr->LsdsdZ[isq][isq2]
                     + coupSUSYPtr->RsdsdZ[isq][isq2]);
        else
          wid = norm(coupSUSYPtr->LsusuZ[isq][isq2]
                     + coupSUSYPtr->RsusuZ[isq][isq2]);
      }
      else if (id2Abs == 24 && id1Abs%2 != idRes%2){
        if (idown)
          wid = norm(coupSUSYPtr->LsusdW[isq2][isq]);
        else
          wid = norm(coupSUSYPtr->LsusdW[isq][isq2]);
      }
    }
    
    // TODO: Case ~q_i -> ~q_j + h/H
    widNow = fac * wid * ps * pow2(mHat);
    if (DBSUSY) cout<alphaS(mHat * mHat);
  preFac = alpS /( 8.0 * pow(mHat,3));
  return;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceGluino::calcWidth(bool) {

  widNow = 0.0;
  if (ps == 0.) return;
  kinFac = (mHat * mHat - mf1 * mf1 + mf2 * mf2);

  if (id1Abs > 1000000 && (id1Abs % 100) < 7 && id2Abs < 7) {

    int isq = (abs(id1Abs)/1000000 == 2) ? (abs(id1Abs)%10+1)/2 + 3
                                         : (abs(id1Abs)%10+1)/2;
    bool idown = id2Abs%2;
    int iq = (id2Abs + 1)/2;

    // ~g -> ~q + q
    if (idown){
      widNow = kinFac * (norm(coupSUSYPtr->LsddG[isq][iq])
             + norm(coupSUSYPtr->RsddG[isq][iq]))
             + 4.0 * mHat * mf2 * real(coupSUSYPtr->LsddG[isq][iq]
             * conj(coupSUSYPtr->RsddG[isq][iq]));
    }
    else{
      widNow = kinFac * (norm(coupSUSYPtr->LsuuG[isq][iq])
             + norm(coupSUSYPtr->RsuuG[isq][iq]))
             + 4.0 * mHat * mf2 * real(coupSUSYPtr->LsuuG[isq][iq]
             * conj(coupSUSYPtr->RsuuG[isq][iq]));
    }
    widNow = widNow * preFac * ps * pow2(mHat);
    if (DBSUSY) {
      cout<<"Gluino:: id1:"<sin2W;

  // Initialize functions for calculating 3-body widths
  psi.init(particleDataPtr,coupSUSYPtr);
  phi.init(particleDataPtr,coupSUSYPtr);
  upsil.init(particleDataPtr,coupSUSYPtr);

}
 
//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void  ResonanceNeut::calcPreFac(bool) {

  // Common coupling factors.
  alpEM  = coupSUSYPtr->alphaEM(mHat * mHat);
  preFac = alpEM / (8.0 * s2W * pow(mHat,3));
  return;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.
void  ResonanceNeut::calcWidth(bool){

  widNow = 0.0;

  if (ps == 0.) return;
  else if (mult ==2){
    // Two-body decays
    
    kinFac = mHat * mHat - mf1 * mf1 + mf2 * mf2;
    kinFac2 = pow(mHat,4) + pow(mf1,4) - 2.0 * pow(mf2,4)
            + pow2(mHat) * pow2(mf2) + pow2(mf1) * pow2(mf2)
            - 2.0 * pow2(mHat) * pow2(mf1);
    
    // Stable lightest neutralino
    if (idRes == 1000022) return;
    
    double fac = 0.0;
    int iNeut1 = coupSUSYPtr->typeNeut(idRes);
    int iNeut2 = coupSUSYPtr->typeNeut(id1Abs);
    int iChar1 = coupSUSYPtr->typeChar(id1Abs);
    
    if (iNeut2>0 && id2Abs == 23){
      // ~chi0_i -> chi0_j + Z
      fac = kinFac2 * (norm(coupSUSYPtr->OLpp[iNeut1][iNeut2])
          + norm(coupSUSYPtr->ORpp[iNeut1][iNeut2]));
      fac -= 12.0 * mHat * mf1 * pow2(mf2)
           * real(coupSUSYPtr->OLpp[iNeut1][iNeut2]
           * conj(coupSUSYPtr->ORpp[iNeut1][iNeut2]));
      fac /= pow2(mf2) * (1.0 - s2W);
    }
    else if (iChar1>0 && id2Abs==24){
      // ~chi0_i -> chi+_j + W- (or c.c.)
      
      fac = kinFac2 * (norm(coupSUSYPtr->OL[iNeut1][iChar1])
          + norm(coupSUSYPtr->OR[iNeut1][iChar1]));
      fac -= 12.0 * mHat * mf1 * pow2(mf2)
           * real(coupSUSYPtr->OL[iNeut1][iChar1]
           * conj(coupSUSYPtr->OR[iNeut1][iChar1]));
      fac /= pow2(mf2);
    }
    else if (id1Abs > 1000000 && id1Abs%100 < 7 && id2Abs < 7){
      // ~chi0_k -> ~q + q
      bool idown = (id1Abs%2 == 1);
      int iq = (id2Abs + 1 )/ 2;
      int isq = (abs(id1Abs)/1000000 == 2) ? (abs(id1Abs)%10+1)/2 + 3
                                           : (abs(id1Abs)%10+1)/2;
      
      if (idown){
        fac  = kinFac * (norm(coupSUSYPtr->LsddX[isq][iq][iNeut1])
             + norm(coupSUSYPtr->RsddX[isq][iq][iNeut1]));
        fac += 4.0 * mHat * mf2 * real(coupSUSYPtr->LsddX[isq][iq][iNeut1]
             * conj(coupSUSYPtr->RsddX[isq][iq][iNeut1]));
      }
      else{
        fac = kinFac * (norm(coupSUSYPtr->LsuuX[isq][iq][iNeut1])
            + norm(coupSUSYPtr->RsuuX[isq][iq][iNeut1]));
        fac += 4.0 * mHat * mf2 * real(coupSUSYPtr->LsuuX[isq][iq][iNeut1]
             * conj(coupSUSYPtr->RsuuX[isq][iq][iNeut1]));
      }
      // Extra multiplicative factor of 3 over sleptons
      fac *= 6.0/(1 - s2W);
    }
    else if (id1Abs > 2000010 && id1Abs%2 == 0 ) {
      // Check for right-handed neutralinos.
      widNow = 0;
    }
    else if (id1Abs > 1000000 && id1Abs%100 > 10 && id1Abs%100 < 17
      && id2Abs < 17){
      // ~chi0_k -> ~l + l
      bool idown = id2Abs%2;
      int il = (id2Abs - 9)/ 2;
      int isl = (abs(id1Abs)/1000000 == 2) ? (abs(id1Abs)%10+1)/2 + 3
                                           : (abs(id1Abs)%10+1)/2;
      
      if (idown){
        fac  = kinFac * (norm(coupSUSYPtr->LsllX[isl][il][iNeut1])
             + norm(coupSUSYPtr->RsllX[isl][il][iNeut1]));
        fac += 4.0 * mHat * mf2 * real(coupSUSYPtr->LsllX[isl][il][iNeut1]
             * conj(coupSUSYPtr->RsllX[isl][il][iNeut1]));
      }
      else{
        fac = kinFac * (norm(coupSUSYPtr->LsvvX[isl][il][iNeut1]));
      }
      fac *= 2.0/(1 - s2W);
    }
    // TODO: Decays in higgs
    // Final width for 2-body decays
    widNow = fac * preFac * ps * pow2(mHat);
    if (DBSUSY) {
      cout<isUDD) return;

    if (id1Abs < 7 && id2Abs < 7 && id3Abs < 7){

      // Check that quarks compatible with UDD structure
      if ((id1Abs+id2Abs+id3Abs)%2 == 1) return;
      double rvfac,m12min,m12max,integral;
      int idInt;
      
      // Loop over mass eigenstate in actual propagator
      for (int idIntRes = 1; idIntRes <= 6; idIntRes++){
        // Right handed field in the UDD coupling
        for (int iSq = 1; iSq <= 3; iSq++){
          double m1, m2, m3, mixfac1(0.), mixfac2(0.), mixfac3(0.);
          int itemp1,itemp2,itemp3;
          // up/down-type internal lines
          for (int itype = 1; itype<=3; itype++){
            //itype = 1: up
            //itype = 2: down1
            //itype = 3: down2
            if (itype ==1 ) idInt = coupSUSYPtr->idSup(idIntRes);
            else idInt = coupSUSYPtr->idSdown(idIntRes);
            if (id1Abs%2 == 0){
              if (itype == 1){
                itemp3 = id1Abs;
                itemp1 = id2Abs;
                itemp2 = id3Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[iSq][(id2Abs+1)/2][(id3Abs+1)/2]);
              }else if (itype ==2){
                itemp3 = id2Abs;
                itemp1 = id1Abs;
                itemp2 = id3Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[(id1Abs+1)/2][iSq][(id3Abs+1)/2]);
              } else{
                itemp3 = id3Abs;
                itemp1 = id1Abs;
                itemp2 = id2Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[(id1Abs+1)/2][(id2Abs+1)/2][iSq]);
              }
            }else if (id2Abs%2 == 0){
              if (itype==1){
                itemp3 = id2Abs;
                itemp1 = id1Abs;
                itemp2 = id3Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[iSq][(id1Abs+1)/2][(id3Abs+1)/2]);
              }else if (itype ==2){
                itemp3 = id1Abs;
                itemp1 = id2Abs;
                itemp2 = id3Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[(id2Abs+1)/2][iSq][(id3Abs+1)/2]);
              } else{
                itemp3 = id3Abs;
                itemp1 = id2Abs;
                itemp2 = id1Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[(id2Abs+1)/2][(id2Abs+1)/2][iSq]);
              }
            }else{
              if (itype==1){
                itemp3 = id3Abs;
                itemp1 = id1Abs;
                itemp2 = id2Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[iSq][(id1Abs+1)/2][(id2Abs+1)/2]);
              }else if (itype ==2){
                itemp3 = id2Abs;
                itemp1 = id1Abs;
                itemp2 = id3Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[(id3Abs+1)/2][iSq][(id2Abs+1)/2]);
              } else{
                itemp3 = id3Abs;
                itemp1 = id1Abs;
                itemp2 = id2Abs;
                rvfac = pow2(
                  coupSUSYPtr->rvUDD[(id3Abs+1)/2][(id1Abs+1)/2][iSq]);
              }
              
            }
            
            m1 = particleDataPtr->m0(itemp1);
            m2 = particleDataPtr->m0(itemp2);
            m3 = particleDataPtr->m0(itemp3);

            m12min = pow2(m1+m2);
            m12max = pow2(mHat-m3);

            // Ignore mode when 2-body decay is possible
            if (mRes > particleDataPtr->m0(idInt)
              + particleDataPtr->m0(itemp3)) continue;
            
            // Single diagram squared terms
            psi.setInternal(idRes, itemp1, itemp2, itemp3, idInt, 0);
            // Mixing with R-states
            if (itype == 1)
              mixfac1 = norm(coupSUSYPtr->Rusq[idIntRes][iSq+3]);
            else
              mixfac1 = norm(coupSUSYPtr->Rdsq[idIntRes][iSq+3]);
            
            if (abs(rvfac * mixfac1) > 1.0e-8) {
              integral =  integrateGauss(&psi,m12min,m12max,1.0e-4);
              widNow += rvfac * mixfac1 * integral;
            //   if (DBSUSY || idRes == 1000023)
            //  cout << scientific << setw(10) <<"Psi: intRes: "<idSup(idIntRes2);
                mixfac2 = 2.0 * real(coupSUSYPtr->Rusq[idIntRes][iSq+3]
                        * conj(coupSUSYPtr->Rusq[idIntRes2][iSq+3]));
              } else {
                idInt2 = coupSUSYPtr->idSdown(idIntRes2);
                mixfac2 = 2.0 * real(coupSUSYPtr->Rdsq[idIntRes][iSq+3]
                        * conj(coupSUSYPtr->Rdsq[idIntRes2][iSq+3]));
              }

              // Ignore mode when 2-body decay is possible
              if (mRes > particleDataPtr->m0(idInt2)
                      + particleDataPtr->m0(itemp3)) continue;

              upsil.setInternal(idRes,itemp1, itemp2,itemp3,idInt,idInt2);
              if (abs(rvfac * mixfac2) > 0.0) {
                integral =  integrateGauss(&upsil,m12min,m12max,1.0e-4);
                widNow += rvfac * mixfac2 * integral;
                // if (DBSUSY || idRes == 1000023)
                //   cout << scientific << setw(10) <<"Upsilon: intRes: "
                //        <idSdown(idIntRes2);
                  mixfac3 = 2.0 * real(coupSUSYPtr->Rusq[idIntRes][iSq+3]
                          * conj(coupSUSYPtr->Rdsq[idIntRes2][iSq2+3]));
                } else {
                  idInt2 = coupSUSYPtr->idSdown(idIntRes2);
                  mixfac3 = 2.0 * real(coupSUSYPtr->Rdsq[idIntRes][iSq+3]
                          * conj(coupSUSYPtr->Rdsq[idIntRes2][iSq2+3]));
                }

                if (abs(rvfac * mixfac3) > 0.0) {
                  phi.setInternal(idRes,itemp1, itemp2,itemp3,idInt,idInt2);
                  //integral = 0;
                  //if (idIntRes == 2 && iSq2 ==4)
                  integral =  integrateGauss(&phi,m12min,m12max,1.0e-4);
                  widNow -= rvfac * mixfac2 * integral;
                }
              }
            }
          }
        }
      }
    }
    // Normalisation.  Extra factor of 2 to account for the fact that
    // d_i, d_j will always be ordered in ascending order. N_c! = 6
    widNow *= 12.0 /(pow3(2.0 * M_PI * mHat) * 32.0);
  }

  return;
}

//==========================================================================

//  Class ResonanceChar
//  Derived class for Neutralino Resonances
//  Decays into higgses/sleptons not yet implemented

//--------------------------------------------------------------------------

void ResonanceChar::initConstants() {

  s2W = coupSUSYPtr->sin2W;
  return;

}
 
//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void  ResonanceChar::calcPreFac(bool) {

  alpEM  = coupSUSYPtr->alphaEM(mHat * mHat);
  preFac = alpEM / (8.0 * s2W * pow(mHat,3));
  return;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void  ResonanceChar::calcWidth(bool) {

  widNow = 0.0;
  if (ps == 0.) return;

  if (mult ==2){
    double fac = 0.0;
    kinFac = mHat * mHat - mf1 * mf1 + mf2 * mf2;
    kinFac2 = pow(mHat,4) + pow(mf1,4) - 2.0 * pow(mf2,4)
      + pow2(mHat) * pow2(mf2) + pow2(mf1)
      * pow2(mf2) - 2.0 * pow2(mHat) * pow2(mf1);
    
    int idChar1 = coupSUSYPtr->typeChar(idRes);
    int idChar2 = coupSUSYPtr->typeChar(id1Abs);
    int idNeut1 = coupSUSYPtr->typeNeut(id1Abs);
    
    if (idChar2>0 && id2Abs == 23){
      // ~chi_i -> chi_j + Z
      fac = kinFac2 * (norm(coupSUSYPtr->OLp[idChar1][idChar2])
          + norm(coupSUSYPtr->ORp[idChar1][idChar2]));
      fac -= 12.0 * mHat * mf1 * pow2(mf2)
           * real(coupSUSYPtr->OLp[idChar1][idChar2]
           * conj(coupSUSYPtr->ORp[idChar1][idChar2]));
      fac /= pow2(mf2) * (1.0 - s2W);
    }
    else if (idNeut1>0 && id2Abs==24){
      // ~chi_i -> chi0_j + W- (or c.c.)
      
      fac  = kinFac2 * (norm(coupSUSYPtr->OL[idNeut1][idChar1])
           + norm(coupSUSYPtr->OR[idNeut1][idChar1]));
      fac -= 12.0 * mHat * mf1 * pow2(mf2)
           * real(coupSUSYPtr->OL[idNeut1][idChar1]
           * conj(coupSUSYPtr->OR[idNeut1][idChar1]));
      fac /= pow2(mf2);
    }
    else if (id1Abs > 1000000 && id1Abs%100 < 7 && id2Abs < 7){
      // ~chi0_k -> ~q + q
      bool idown = (id1Abs%2 == 1);
      int iq = (id2Abs + 1 )/ 2;
      int isq = (abs(id1Abs)/1000000 == 2) ? (abs(id1Abs)%10+1)/2 + 3
                                           : (abs(id1Abs)%10+1)/2;
      
      if (idown){
        fac  = kinFac * (norm(coupSUSYPtr->LsduX[isq][iq][idChar1])
             + norm(coupSUSYPtr->RsduX[isq][iq][idChar1]));
        fac += 4.0 * mHat * mf2
             * real(coupSUSYPtr->LsduX[isq][iq][idChar1]
             * conj(coupSUSYPtr->RsduX[isq][iq][idChar1]));
      }
      else{
        fac  = kinFac * (norm(coupSUSYPtr->LsudX[isq][iq][idChar1])
             + norm(coupSUSYPtr->RsudX[isq][iq][idChar1]));
        fac += 4.0 * mHat * mf2
             * real(coupSUSYPtr->LsudX[isq][iq][idChar1]
             * conj(coupSUSYPtr->RsudX[isq][iq][idChar1]));
      }
      fac *= 6.0/(1 - s2W);
    }
    else if (id1Abs > 2000010 && id1Abs%2 == 0 ) {
      // Check for right-handed neutralinos.
      widNow = 0;
    }
    else if (id1Abs > 1000000 && id1Abs%100 > 10 && id1Abs%100 < 17
      && id2Abs < 17){
      // ~chi+_k -> ~l + l
      bool idown = id2Abs%2;
      int il = (id2Abs - 9)/ 2;
      int isl = (abs(id1Abs)/1000000 == 2) ? (abs(id1Abs)%10+1)/2 + 3
                                           : (abs(id1Abs)%10+1)/2;
      
      if (idown){
        fac  = kinFac * (norm(coupSUSYPtr->LslvX[isl][il][idChar1])
             + norm(coupSUSYPtr->RslvX[isl][il][idChar1]));
        fac += 4.0 * mHat * mf2 * real(coupSUSYPtr->LslvX[isl][il][idChar1]
             * conj(coupSUSYPtr->RslvX[isl][il][idChar1]));
      }
      else{
        fac = kinFac * (norm(coupSUSYPtr->LsvlX[isl][il][idChar1]));
      }
      fac *= 2.0/(1 - s2W);
    }

    // TODO: Decays in higgs
    widNow = fac * preFac * ps * pow2(mHat);
    if (DBSUSY) {
      cout<sin2W;

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceSlepton::calcPreFac(bool) {

  // Common coupling factors.
  alpEM  = coupSUSYPtr->alphaEM(mHat * mHat);
  preFac = 1.0 / (s2W * pow(mHat,3));

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceSlepton::calcWidth(bool) {

  // Slepton type -- in u_i/d_i and generation
  int ksusy = 1000000;
  int isl = (abs(idRes)/ksusy == 2) ? (abs(idRes)%10+1)/2 + 3
                                    : (abs(idRes)%10+1)/2;
  int il = (id2Abs-9)/2;
  bool islep = idRes%2;

  // Check that mass is above threshold.
  if (ps == 0.) return;
  else{
    // Two-body decays
    kinFac = (mHat * mHat - mf1 * mf1 - mf2 * mf2);
    
    double fac = 0.0 , wid = 0.0;

    //Case 1: RPV: To be implemented
    //Case 2: slepton + gaugino

    if (id1Abs > ksusy && id2Abs > 10 && id2Abs < 17) {
      for (int i=1; i<6 ; i++){
        // ~ell/~nu -> ~chi0 + ell/nu
        if (coupSUSYPtr->idNeut(i)==id1Abs && idRes%2 == id2Abs%2){
          fac = alpEM *  preFac / (2.0 * (1 - s2W));
          if (islep)
            wid = kinFac * (norm(coupSUSYPtr->LsllX[isl][il][i])
                + norm(coupSUSYPtr->RsllX[isl][il][i]))
                - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsllX[isl][il][i]
                * conj(coupSUSYPtr->RsllX[isl][il][i]));
          else
            wid = kinFac * (norm(coupSUSYPtr->LsvvX[isl][il][i])
                + norm(coupSUSYPtr->RsvvX[isl][il][i]))
                - 4.0 * mHat * mf2 * real(coupSUSYPtr->LsvvX[isl][il][i]
                * conj(coupSUSYPtr->RsvvX[isl][il][i]));
        }
        
        // ~ell/~nu -> ~chi- + nu/ell
        else if (i < 3 && coupSUSYPtr->idChar(i)==id1Abs
          && idRes%2 != id2Abs%2){
          
          fac = alpEM *  preFac / (4.0 * (1 - s2W));
          if (islep)
            wid = kinFac * (norm(coupSUSYPtr->LslvX[isl][il][i])
                + norm(coupSUSYPtr->RslvX[isl][il][i]))
                - 4.0 * mHat * mf2 * real(coupSUSYPtr->LslvX[isl][il][i]
                * conj(coupSUSYPtr->RslvX[isl][il][i]));
          else
            wid = kinFac * (norm(coupSUSYPtr->LslvX[isl][il][i])
                + norm(coupSUSYPtr->RslvX[isl][il][i]))
                - 4.0 * mHat * mf2 * real(coupSUSYPtr->LslvX[isl][il][i]
                * conj(coupSUSYPtr->RslvX[isl][il][i]));
        }
      }
    }
    
    //Case 3: ~l_i -> ~l_j + Z/W
    else if (id1Abs > ksusy+10 && id1Abs%100 < 17
      && (id2Abs == 23 || id2Abs == 24)){
      
      // factor of lambda^(3/2) = ps^3;
      fac = alpEM * preFac/(16.0 * pow2(mf2) * (1.0 - s2W)) * pow2(ps) ;
      
      int isl2 = (id1Abs/ksusy == 2) ? (id1Abs%10+1)/2 + 3: (id1Abs%10+1)/2;
      
      if (id2Abs == 23 && id1Abs%2 == idRes%2){
        if (islep)
          wid = norm(coupSUSYPtr->LslslZ[isl][isl2]
              + coupSUSYPtr->RslslZ[isl][isl2]);
        else
          wid = norm(coupSUSYPtr->LsvsvZ[isl][isl2]
              + coupSUSYPtr->RsvsvZ[isl][isl2]);
      }
      else if (id2Abs == 24 && id1Abs%2 != idRes%2){
        if (islep)
          wid = norm(coupSUSYPtr->LslsvW[isl2][isl]);
        else
          wid = norm(coupSUSYPtr->LslsvW[isl][isl2]);
      }
    }
    
    // TODO: Case ~l_i -> ~l_j + h/H
    
    
    widNow = fac * wid * ps * pow2(mHat);
    if (DBSUSY) cout< xhi) {
    cerr<<" (integrateGauss:) -> xhi < xlo"<function(zmi+dz) + widthFn->function(zmi-dz));
    }
    s8 *= zmr;
    double s16=0.0;
    for (int i=0;i<8;i++) {
      double dz = zmr * x16[i];
      s16 += w16[i]*(widthFn->function(zmi+dz) + widthFn->function(zmi-dz));
    }
    s16 *= zmr;
    if (abs(s16-s8) < tol*(1+abs(s16))) {
      //precision in this bin OK, add to cumulative and go to next
      nextbin=true;
      sum += s16;
      //next bin: LO = end of current, HI = end of integration region.
      zlo=zhi;
      zhi=xhi;
      if ( zlo == zhi ) nextbin = false;
    } else {
      //precision in this bin not OK, subdivide.
      if (1.0 + c*abs(zmr) == 1.0) {
        cerr << " (integrateGauss:) too high accuracy required"<eCM();

}

//--------------------------------------------------------------------------

// Function to print information.
void Merging::statistics( ostream& os ) {

  // Recall switch to enfore merging scale cut.
  bool enforceCutOnLHE  = settingsPtr->flag("Merging:enforceCutOnLHE");
  // Recall merging scale value.
  double tmsval         = mergingHooksPtr->tms();
  bool printBanner      = enforceCutOnLHE && tmsNowMin > TMSMISMATCH*tmsval;
  // Reset minimal tms value.
  tmsNowMin             = infoPtr->eCM();

  if (!printBanner) return;

  // Header.
  os << "\n *-------  PYTHIA Matrix Element Merging Information  ------"
     << "-------------------------------------------------------*\n"
     << " |                                                            "
     << "                                                     |\n";
  // Print warning if the minimal tms value of any event was significantly
  // above the desired merging scale value.
  os << " | Warning in Merging::statistics: All Les Houches events"
     << " significantly above Merging:TMS cut. Please check.       |\n";

  // Listing finished.
  os << " |                                                            "
     << "                                                     |\n"
     << " *-------  End PYTHIA Matrix Element Merging Information -----"
     << "-----------------------------------------------------*" << endl;
}

//--------------------------------------------------------------------------

// Function to steer different merging prescriptions.

int Merging::mergeProcess(Event& process){

  int vetoCode = 1;

  // Reinitialise hard process.
  mergingHooksPtr->hardProcess.clear();
  mergingHooksPtr->processSave = settingsPtr->word("Merging:Process");
  mergingHooksPtr->hardProcess.initOnProcess(
    settingsPtr->word("Merging:Process"), particleDataPtr);

  // Possibility to apply merging scale to an input event.
  bool applyTMSCut = settingsPtr->flag("Merging:doXSectionEstimate");
  if ( applyTMSCut && cutOnProcess(process) ) return -1;
  // Done if only a cut should be applied.
  if ( applyTMSCut ) return 1;

  // Possibility to perform CKKW-L merging on this event.
  if ( mergingHooksPtr->doCKKWLMerging() )
    vetoCode = mergeProcessCKKWL(process);

  // Possibility to perform UMEPS merging on this event.
  if ( mergingHooksPtr->doUMEPSMerging() )
     vetoCode = mergeProcessUMEPS(process);

  // Possibility to perform NL3 NLO merging on this event.
  if ( mergingHooksPtr->doNL3Merging() )
    vetoCode = mergeProcessNL3(process);

  // Possibility to perform UNLOPS merging on this event.
  if ( mergingHooksPtr->doUNLOPSMerging() )
    vetoCode = mergeProcessUNLOPS(process);

  return vetoCode;

}

//--------------------------------------------------------------------------

// Function to perform CKKW-L merging on this event.

int Merging::mergeProcessCKKWL( Event& process) {

  // Ensure that merging hooks to not veto events in the trial showers.
  mergingHooksPtr->doIgnoreStep(true);
  // For pp > h, allow cut on state, so that underlying processes
  // can be clustered to gg > h
  if ( mergingHooksPtr->getProcessString().compare("pp>h") == 0 )
    mergingHooksPtr->allowCutOnRecState(true);
  // For now, prefer construction of ordered histories.
  mergingHooksPtr->orderHistories(true);

  // Reset weight of the event.
  double wgt = 1.0;
  mergingHooksPtr->setWeightCKKWL(1.);
  mergingHooksPtr->muMI(-1.);

  // Prepare process record for merging. If Pythia has already decayed
  // resonances used to define the hard process, remove resonance decay
  // products.
  Event newProcess( mergingHooksPtr->bareEvent( process, true) );
  // Store candidates for the splitting V -> qqbar'.
  mergingHooksPtr->storeHardProcessCandidates( newProcess);

  // Check if event passes the merging scale cut.
  double tmsval = mergingHooksPtr->tms();
  // Get merging scale in current event.
  double tmsnow = mergingHooksPtr->tmsNow( newProcess );
  // Calculate number of clustering steps.
  int nSteps    = mergingHooksPtr->getNumberOfClusteringSteps( newProcess);

  // Too few steps can be possible if a chain of resonance decays has been
  // removed. In this case, reject this event, since it will be handled in
  // lower-multiplicity samples.
  int nRequested = settingsPtr->mode("Merging:nRequested");
  if (nSteps < nRequested) {
    mergingHooksPtr->setWeightCKKWL(0.);
    return -1;
  }

  // Reset the minimal tms value, if necessary.
  tmsNowMin     = (nSteps == 0) ? 0. : min(tmsNowMin, tmsnow);

  // Get random number to choose a path.
  double RN = rndmPtr->flat();
  // Set dummy process scale.
  newProcess.scale(0.0);
  // Generate all histories.
  History FullHistory( nSteps, 0.0, newProcess, Clustering(), mergingHooksPtr,
            (*beamAPtr), (*beamBPtr), particleDataPtr, infoPtr, true, true,
            true, true, 1.0, 0);
  // Project histories onto desired branches, e.g. only ordered paths.
  FullHistory.projectOntoDesiredHistories();

  // Do not apply cut if the configuration could not be projected onto an
  // underlying born configuration.
  bool applyCut = nSteps > 0 && FullHistory.select(RN)->nClusterings() > 0;

  // Enfore merging scale cut if the event did not pass the merging scale
  // criterion.
  bool enforceCutOnLHE  = settingsPtr->flag("Merging:enforceCutOnLHE");
  if ( enforceCutOnLHE && applyCut && tmsnow < tmsval ) {
    string message="Warning in Merging::mergeProcessCKKWL: Les Houches Event";
    message+=" fails merging scale cut. Reject event.";
    infoPtr->errorMsg(message);
    mergingHooksPtr->setWeightCKKWL(0.);
    return -1;
  }

  if ( FullHistory.select(RN)->nClusterings() < nSteps) {
    string message="Warning in Merging::mergeProcessCKKWL: No clusterings";
    message+=" found. History incomplete.";
    infoPtr->errorMsg(message);
  }

  // Calculate CKKWL weight:
  // Perform reweighting with Sudakov factors, save alpha_s ratios and
  // PDF ratio weights.
  wgt = FullHistory.weightTREE( trialPartonLevelPtr,
          mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN);

  // Event with production scales set for further (trial) showering
  // and starting conditions for the shower.
  FullHistory.getStartingConditions( RN, process );
  // If necessary, reattach resonance decay products.
  mergingHooksPtr->reattachResonanceDecays(process);

  // Allow to dampen histories in which the lowest multiplicity reclustered
  // state does not pass the lowest multiplicity cut of the matrix element.
  double dampWeight = mergingHooksPtr->dampenIfFailCuts(
           FullHistory.lowestMultProc(RN) );
  // Save the weight of the event for histogramming. Only change the
  // event weight after trial shower on the matrix element
  // multiplicity event (= in doVetoStep).
  wgt *= dampWeight;

  // Set QCD 2->2 starting scale different from arbitrary scale in LHEF!
  // --> Set to minimal mT of partons.
  int nFinal = 0;
  double muf = process[0].e();
  for ( int i=0; i < process.size(); ++i )
  if ( process[i].isFinal()
    && (process[i].colType() != 0 || process[i].id() == 22 ) ) {
    nFinal++;
    muf = min( muf, abs(process[i].mT()) );
  }
  // For pure QCD dijet events (only!), set the process scale to the
  // transverse momentum of the outgoing partons.
  if ( nSteps == 0 && nFinal == 2
    && ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
      || mergingHooksPtr->getProcessString().compare("pp>aj") == 0) )
    process.scale(muf);

  // Save the weight of the event for histogramming.
  mergingHooksPtr->setWeightCKKWL(wgt);

  // Allow merging hooks to veto events from now on.
  mergingHooksPtr->doIgnoreStep(false);

  // If no-emission probability is zero.
  if ( wgt == 0. ) return 0;

  // Done
  return 1;

}

//--------------------------------------------------------------------------

// Function to perform UMEPS merging on this event.

int Merging::mergeProcessUMEPS( Event& process) {

  // Initialise which part of UMEPS merging is applied.
  bool doUMEPSTree                = settingsPtr->flag("Merging:doUMEPSTree");
  bool doUMEPSSubt                = settingsPtr->flag("Merging:doUMEPSSubt");
  // Save number of looping steps
  mergingHooksPtr->nReclusterSave = settingsPtr->mode("Merging:nRecluster");
  int nRecluster                  = settingsPtr->mode("Merging:nRecluster");

  // Ensure that merging hooks does not remove emissions.
  mergingHooksPtr->doIgnoreEmissions(true);
  // For pp > h, allow cut on state, so that underlying processes
  // can be clustered to gg > h
  if ( mergingHooksPtr->getProcessString().compare("pp>h") == 0 )
    mergingHooksPtr->allowCutOnRecState(true);
  // For now, prefer construction of ordered histories.
  mergingHooksPtr->orderHistories(true);

  // Reset weights of the event.
  double wgt   = 1.;
  mergingHooksPtr->setWeightCKKWL(1.);
  mergingHooksPtr->muMI(-1.);

  // Prepare process record for merging. If Pythia has already decayed
  // resonances used to define the hard process, remove resonance decay
  // products.
  Event newProcess( mergingHooksPtr->bareEvent( process, true) );
  // Store candidates for the splitting V -> qqbar'.
  mergingHooksPtr->storeHardProcessCandidates( newProcess );

  // Check if event passes the merging scale cut.
  double tmsval   = mergingHooksPtr->tms();
  // Get merging scale in current event.
  double tmsnow  = mergingHooksPtr->tmsNow( newProcess );
  // Calculate number of clustering steps.
  int nSteps     = mergingHooksPtr->getNumberOfClusteringSteps( newProcess );

  // Too few steps can be possible if a chain of resonance decays has been
  // removed. In this case, reject this event, since it will be handled in
  // lower-multiplicity samples.
  int nRequested = settingsPtr->mode("Merging:nRequested");
  if (nSteps < nRequested) {
    mergingHooksPtr->setWeightCKKWL(0.);
    return -1;
  }

  // Reset the minimal tms value, if necessary.
  tmsNowMin      = (nSteps == 0) ? 0. : min(tmsNowMin, tmsnow);

  // Get random number to choose a path.
  double RN = rndmPtr->flat();
  // Set dummy process scale.
  newProcess.scale(0.0);
  // Generate all histories.
  History FullHistory( nSteps, 0.0, newProcess, Clustering(), mergingHooksPtr,
            (*beamAPtr), (*beamBPtr), particleDataPtr, infoPtr, true, true,
            true, true, 1.0, 0);
  // Project histories onto desired branches, e.g. only ordered paths.
  FullHistory.projectOntoDesiredHistories();

  // Do not apply cut if the configuration could not be projected onto an
  // underlying born configuration.
  bool applyCut = nSteps > 0 && FullHistory.select(RN)->nClusterings() > 0;

  // Enfore merging scale cut if the event did not pass the merging scale
  // criterion.
  bool enforceCutOnLHE  = settingsPtr->flag("Merging:enforceCutOnLHE");
  if ( enforceCutOnLHE && applyCut && tmsnow < tmsval ) {
    string message="Warning in Merging::mergeProcessUMEPS: Les Houches Event";
    message+=" fails merging scale cut. Reject event.";
    infoPtr->errorMsg(message);
    mergingHooksPtr->setWeightCKKWL(0.);
    return -1;
  }

  // Check reclustering steps to correctly apply MPI.
  int nPerformed = 0;
  if ( nSteps > 0 && doUMEPSSubt
    && !FullHistory.getFirstClusteredEventAboveTMS( RN, nRecluster,
          newProcess, nPerformed, false ) ) {
    // Discard if the state could not be reclustered to a state above TMS.
    mergingHooksPtr->setWeightCKKWL(0.);
    return -1;
  }

  mergingHooksPtr->nMinMPI(nSteps - nPerformed);

  // Calculate CKKWL weight:
  // Perform reweighting with Sudakov factors, save alpha_s ratios and
  // PDF ratio weights.
  if ( doUMEPSTree ) {
    wgt = FullHistory.weight_UMEPS_TREE( trialPartonLevelPtr,
      mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN );
  } else {
    wgt = FullHistory.weight_UMEPS_SUBT( trialPartonLevelPtr,
      mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN );
  }

  // Event with production scales set for further (trial) showering
  // and starting conditions for the shower.
  if ( doUMEPSTree ) FullHistory.getStartingConditions( RN, process );
  // Do reclustering (looping) steps.
  else FullHistory.getFirstClusteredEventAboveTMS( RN, nRecluster, process,
    nPerformed, true );

  // Allow to dampen histories in which the lowest multiplicity reclustered
  // state does not pass the lowest multiplicity cut of the matrix element
  double dampWeight = mergingHooksPtr->dampenIfFailCuts(
           FullHistory.lowestMultProc(RN) );
  // Save the weight of the event for histogramming. Only change the
  // event weight after trial shower on the matrix element
  // multiplicity event (= in doVetoStep)
  wgt *= dampWeight;

  // Save the weight of the event for histogramming.
  mergingHooksPtr->setWeightCKKWL(wgt);

  // Set QCD 2->2 starting scale different from arbitrary scale in LHEF!
  // --> Set to minimal mT of partons.
  int nFinal = 0;
  double muf = process[0].e();
  for ( int i=0; i < process.size(); ++i )
  if ( process[i].isFinal()
    && (process[i].colType() != 0 || process[i].id() == 22 ) ) {
    nFinal++;
    muf = min( muf, abs(process[i].mT()) );
  }

  // For pure QCD dijet events (only!), set the process scale to the
  // transverse momentum of the outgoing partons.
  // Calculate number of clustering steps.
  int nStepsNew = mergingHooksPtr->getNumberOfClusteringSteps( process );
  if ( nStepsNew == 0
    && ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
      || mergingHooksPtr->getProcessString().compare("pp>aj") == 0) )
    process.scale(muf);

  // Reset hard process candidates (changed after clustering a parton).
  mergingHooksPtr->storeHardProcessCandidates( process );
  // If necessary, reattach resonance decay products.
  mergingHooksPtr->reattachResonanceDecays(process);

  // Allow merging hooks to remove emissions from now on.
  mergingHooksPtr->doIgnoreEmissions(false);

  // If no-emission probability is zero.
  if ( wgt == 0. ) return 0;

  // Done
  return 1;

}

//--------------------------------------------------------------------------

// Function to perform NL3 NLO merging on this event.

int Merging::mergeProcessNL3( Event& process) {

  // Initialise which part of NL3 merging is applied.
  bool doNL3Tree = settingsPtr->flag("Merging:doNL3Tree");
  bool doNL3Loop = settingsPtr->flag("Merging:doNL3Loop");
  bool doNL3Subt = settingsPtr->flag("Merging:doNL3Subt");
  // Save number of looping steps.
  int nRequested = settingsPtr->mode("Merging:nRequested");

  // Ensure that hooks (NL3 part) to not remove emissions.
  mergingHooksPtr->doIgnoreEmissions(true);
  // Ensure that hooks (CKKWL part) to not veto events in trial showers.
  mergingHooksPtr->doIgnoreStep(true);
  // For pp > h, allow cut on state, so that underlying processes
  // can be clustered to gg > h
  if ( mergingHooksPtr->getProcessString().compare("pp>h") == 0)
    mergingHooksPtr->allowCutOnRecState(true);
  // For now, prefer construction of ordered histories.
  mergingHooksPtr->orderHistories(true);

  // Reset weight of the event
  double wgt      = 1.;
  mergingHooksPtr->setWeightCKKWL(1.);
  // Reset the O(alphaS)-term of the CKKW-L weight.
  double wgtFIRST = 0.;
  mergingHooksPtr->setWeightFIRST(0.);
  mergingHooksPtr->muMI(-1.);

  // Prepare process record for merging. If Pythia has already decayed
  // resonances used to define the hard process, remove resonance decay
  // products.
  Event newProcess( mergingHooksPtr->bareEvent( process, true) );
  // Store candidates for the splitting V -> qqbar'
  mergingHooksPtr->storeHardProcessCandidates( newProcess);

  // Check if event passes the merging scale cut.
  double tmsval  = mergingHooksPtr->tms();
  // Get merging scale in current event.
  double tmsnow  = mergingHooksPtr->tmsNow( newProcess );
  // Calculate number of clustering steps
  int nSteps   = mergingHooksPtr->getNumberOfClusteringSteps( newProcess);

  // Too few steps can be possible if a chain of resonance decays has been
  // removed. In this case, reject this event, since it will be handled in
  // lower-multiplicity samples.
  if (nSteps < nRequested) {
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }

  // Reset the minimal tms value, if necessary.
  tmsNowMin = (nSteps == 0) ? 0. : min(tmsNowMin, tmsnow);

  // Enfore merging scale cut if the event did not pass the merging scale
  // criterion.
  bool enforceCutOnLHE  = settingsPtr->flag("Merging:enforceCutOnLHE");
  if ( enforceCutOnLHE && nSteps > 0 && nSteps == nRequested
    && tmsnow < tmsval ) {
    string message="Warning in Merging::mergeProcessNL3: Les Houches Event";
    message+=" fails merging scale cut. Reject event.";
    infoPtr->errorMsg(message);
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }

  // Get random number to choose a path.
  double RN = rndmPtr->flat();
  // Set dummy process scale.
  newProcess.scale(0.0);
  // Generate all histories
  History FullHistory( nSteps, 0.0, newProcess, Clustering(), mergingHooksPtr,
            (*beamAPtr), (*beamBPtr), particleDataPtr, infoPtr, true, true,
            true, true, 1.0, 0);
  // Project histories onto desired branches, e.g. only ordered paths.
  FullHistory.projectOntoDesiredHistories();

  // Discard states that cannot be projected unto a state with one less jet.
  if ( nSteps > 0 && doNL3Subt
    && FullHistory.select(RN)->nClusterings() == 0 ){
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }

  // Potentially recluster real emission jets for powheg input containing
  // "too many" jets, i.e. real-emission kinematics.
  bool containsRealKin = nSteps > nRequested && nSteps > 0;

  // Perform one reclustering for real emission kinematics, then apply merging
  // scale cut on underlying Born kinematics.
  if ( containsRealKin ) {
    Event dummy = Event();
    // Initialise temporary output of reclustering.
    dummy.clear();
    dummy.init( "(hard process-modified)", particleDataPtr );
    dummy.clear();
    // Recluster once.
    if ( !FullHistory.getClusteredEvent( RN, nSteps, dummy )) {
      mergingHooksPtr->setWeightCKKWL(0.);
      mergingHooksPtr->setWeightFIRST(0.);
      return -1;
    }
    double tnowNew  = mergingHooksPtr->tmsNow( dummy );
    // Veto if underlying Born kinematics do not pass merging scale cut.
    if ( enforceCutOnLHE && nSteps > 0 && nRequested > 0
      && tnowNew < tmsval ) {
      mergingHooksPtr->setWeightCKKWL(0.);
      mergingHooksPtr->setWeightFIRST(0.);
      return -1;
    }
  }

  // Remember number of jets, to include correct MPI no-emission probabilities.
  if ( doNL3Subt || containsRealKin ) mergingHooksPtr->nMinMPI(nSteps - 1);
  else mergingHooksPtr->nMinMPI(nSteps);

  // Calculate weight
  // Do LO or first part of NLO tree-level reweighting
  if( doNL3Tree ) {
    // Perform reweighting with Sudakov factors, save as ratios and
    // PDF ratio weights
    wgt = FullHistory.weightTREE( trialPartonLevelPtr,
      mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN);
  } else if( doNL3Loop || doNL3Subt ) {
    // No reweighting, just set event scales properly and incorporate MPI
    // no-emission probabilities.
    wgt = FullHistory.weightLOOP( trialPartonLevelPtr, RN);
  }

  // Event with production scales set for further (trial) showering
  // and starting conditions for the shower
  if ( !doNL3Subt && !containsRealKin )
    FullHistory.getStartingConditions(RN, process);
  // For sutraction of nSteps-additional resolved partons from
  // the nSteps-1 parton phase space, recluster the last parton
  // in nSteps-parton events, and sutract later
  else {
    // Function to return the reclustered event
    if ( !FullHistory.getClusteredEvent( RN, nSteps, process )) {
      mergingHooksPtr->setWeightCKKWL(0.);
      mergingHooksPtr->setWeightFIRST(0.);
      return -1;
    }
  }

  // Allow to dampen histories in which the lowest multiplicity reclustered
  // state does not pass the lowest multiplicity cut of the matrix element
  double dampWeight = mergingHooksPtr->dampenIfFailCuts(
           FullHistory.lowestMultProc(RN) );
  // Save the weight of the event for histogramming. Only change the
  // event weight after trial shower on the matrix element
  // multiplicity event (= in doVetoStep)
  wgt *= dampWeight;

  // For tree level samples in NL3, rescale with k-Factor
  if (doNL3Tree ){
    // Find k-factor
    double kFactor = 1.;
    if( nSteps > mergingHooksPtr->nMaxJetsNLO() )
      kFactor = mergingHooksPtr->kFactor( mergingHooksPtr->nMaxJetsNLO() );
    else kFactor = mergingHooksPtr->kFactor(nSteps);
    // For NLO merging, rescale CKKW-L weight with k-factor
    wgt *= kFactor;
  }

  // Save the weight of the event for histogramming
  mergingHooksPtr->setWeightCKKWL(wgt);

  // Check if we need to subtract the O(\alpha_s)-term. If the number
  // of additional partons is larger than the number of jets for
  // which loop matrix elements are available, do standard CKKW-L
  bool doOASTree = doNL3Tree && nSteps <= mergingHooksPtr->nMaxJetsNLO();

  // Now begin NLO part for tree-level events
  if ( doOASTree ) {
    // Calculate the O(\alpha_s)-term of the CKKWL weight
    wgtFIRST = FullHistory.weightFIRST( trialPartonLevelPtr,
      mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN,
      rndmPtr );
    // If necessary, also dampen the O(\alpha_s)-term
    wgtFIRST *= dampWeight;
    // Set the subtractive weight to the value calculated so far
    mergingHooksPtr->setWeightFIRST(wgtFIRST);
    // Subtract the O(\alpha_s)-term from the CKKW-L weight
    // If PDF contributions have not been included, subtract these later
    wgt = wgt - wgtFIRST;
  }

  // Set qcd 2->2 starting scale different from arbirtrary scale in LHEF!
  // --> Set to pT of partons
  double pT = 0.;
  for( int i=0; i < process.size(); ++i)
    if(process[i].isFinal() && process[i].colType() != 0) {
      pT = sqrt(pow(process[i].px(),2) + pow(process[i].py(),2));
      break;
    }
  // For pure QCD dijet events (only!), set the process scale to the
  // transverse momentum of the outgoing partons.
  if ( nSteps == 0
    && mergingHooksPtr->getProcessString().compare("pp>jj") == 0)
    process.scale(pT);

  // Reset hard process candidates (changed after clustering a parton).
  mergingHooksPtr->storeHardProcessCandidates( process );
  // If necessary, reattach resonance decay products.
  mergingHooksPtr->reattachResonanceDecays(process);

  // Allow merging hooks (NL3 part) to remove emissions from now on.
  mergingHooksPtr->doIgnoreEmissions(false);
  // Allow merging hooks (CKKWL part) to veto events from now on.
  mergingHooksPtr->doIgnoreStep(false);

  // Done
  return 1;

}

//--------------------------------------------------------------------------

// Function to perform UNLOPS merging on this event.

int Merging::mergeProcessUNLOPS( Event& process) {

  // Initialise which part of UNLOPS merging is applied.
  bool nloTilde         = settingsPtr->flag("Merging:doUNLOPSTilde");
  bool doUNLOPSTree     = settingsPtr->flag("Merging:doUNLOPSTree");
  bool doUNLOPSLoop     = settingsPtr->flag("Merging:doUNLOPSLoop");
  bool doUNLOPSSubt     = settingsPtr->flag("Merging:doUNLOPSSubt");
  bool doUNLOPSSubtNLO  = settingsPtr->flag("Merging:doUNLOPSSubtNLO");
  // Save number of looping steps
  mergingHooksPtr->nReclusterSave = settingsPtr->mode("Merging:nRecluster");
  int nRecluster        = settingsPtr->mode("Merging:nRecluster");
  int nRequested        = settingsPtr->mode("Merging:nRequested");

  // Ensure that merging hooks to not remove emissions
  mergingHooksPtr->doIgnoreEmissions(true);
  // For now, prefer construction of ordered histories.
  mergingHooksPtr->orderHistories(true);
  // For pp > h, allow cut on state, so that underlying processes
  // can be clustered to gg > h
  if ( mergingHooksPtr->getProcessString().compare("pp>h") == 0)
    mergingHooksPtr->allowCutOnRecState(true);

  // Reset weight of the event.
  double wgt      = 1.;
  mergingHooksPtr->setWeightCKKWL(1.);
  // Reset the O(alphaS)-term of the UMEPS weight.
  double wgtFIRST = 0.;
  mergingHooksPtr->setWeightFIRST(0.);
  mergingHooksPtr->muMI(-1.);

  // Prepare process record for merging. If Pythia has already decayed
  // resonances used to define the hard process, remove resonance decay
  // products.
  Event newProcess( mergingHooksPtr->bareEvent( process, true) );
  // Store candidates for the splitting V -> qqbar'
  mergingHooksPtr->storeHardProcessCandidates( newProcess );

  // Check if event passes the merging scale cut.
  double tmsval  = mergingHooksPtr->tms();
  // Get merging scale in current event.
  double tmsnow  = mergingHooksPtr->tmsNow( newProcess );
  // Calculate number of clustering steps
  int nSteps     = mergingHooksPtr->getNumberOfClusteringSteps( newProcess);

  // Too few steps can be possible if a chain of resonance decays has been
  // removed. In this case, reject this event, since it will be handled in
  // lower-multiplicity samples.
  if (nSteps < nRequested) {
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }

  // Reset the minimal tms value, if necessary.
  tmsNowMin = (nSteps == 0) ? 0. : min(tmsNowMin, tmsnow);

  // Get random number to choose a path.
  double RN = rndmPtr->flat();
  // Set dummy process scale.
  newProcess.scale(0.0);
  // Generate all histories
  History FullHistory( nSteps, 0.0, newProcess, Clustering(), mergingHooksPtr,
            (*beamAPtr), (*beamBPtr), particleDataPtr, infoPtr, true, true,
            true, true, 1.0, 0);
  // Project histories onto desired branches, e.g. only ordered paths.
  FullHistory.projectOntoDesiredHistories();

  // Do not apply cut if the configuration could not be projected onto an
  // underlying born configuration.
  bool applyCut = nSteps > 0 && FullHistory.select(RN)->nClusterings() > 0;

  // Enfore merging scale cut if the event did not pass the merging scale
  // criterion.
  bool enforceCutOnLHE  = settingsPtr->flag("Merging:enforceCutOnLHE");
  if ( enforceCutOnLHE && applyCut && nSteps == nRequested
    && tmsnow < tmsval ) {
    string message="Warning in Merging::mergeProcessUNLOPS: Les Houches Event";
    message+=" fails merging scale cut. Reject event.";
    infoPtr->errorMsg(message);
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }

  // Potentially recluster real emission jets for powheg input containing
  // "too many" jets, i.e. real-emission kinematics.
  bool containsRealKin = nSteps > nRequested && nSteps > 0;
  if ( containsRealKin ) nRecluster += nSteps - nRequested;

  // Remove real emission events without underlying Born configuration from
  // the loop sample, since such states will be taken care of by tree-level
  // samples.
  bool allowIncompleteReal =
    settingsPtr->flag("Merging:allowIncompleteHistoriesInReal");
  if ( doUNLOPSLoop && containsRealKin && !allowIncompleteReal
    && FullHistory.select(RN)->nClusterings() == 0 ) {
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }

  // Discard if the state could not be reclustered to any state above TMS.
  int nPerformed = 0;
  if ( nSteps > 0
    && ( doUNLOPSSubt || doUNLOPSSubtNLO || containsRealKin )
    && !FullHistory.getFirstClusteredEventAboveTMS( RN, nRecluster,
          newProcess, nPerformed, false ) ) {
    mergingHooksPtr->setWeightCKKWL(0.);
    mergingHooksPtr->setWeightFIRST(0.);
    return -1;
  }
  // Check reclustering steps to correctly apply MPI.
  mergingHooksPtr->nMinMPI(nSteps - nPerformed);

  // Perform one reclustering for real emission kinematics, then apply
  // merging scale cut on underlying Born kinematics.
  if ( containsRealKin ) {
    Event dummy = Event();
    // Initialise temporary output of reclustering.
    dummy.clear();
    dummy.init( "(hard process-modified)", particleDataPtr );
    dummy.clear();
    // Recluster once.
    FullHistory.getClusteredEvent( RN, nSteps, dummy );
    double tnowNew  = mergingHooksPtr->tmsNow( dummy );
    // Veto if underlying Born kinematics do not pass merging scale cut.
    if ( enforceCutOnLHE && nSteps > 0 && nRequested > 0
      && tnowNew < tmsval ) {
      mergingHooksPtr->setWeightCKKWL(0.);
      mergingHooksPtr->setWeightFIRST(0.);
      return -1;
    }
  }

  // Calculate weights.
  // Do LO or first part of NLO tree-level reweighting
  if( doUNLOPSTree ) {
    // Perform reweighting with Sudakov factors, save as ratios and
    // PDF ratio weights
    wgt = FullHistory.weight_UNLOPS_TREE( trialPartonLevelPtr,
            mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN);
  } else if( doUNLOPSLoop ) {
    // No reweighting, just set event scales properly
    wgt = FullHistory.weight_UNLOPS_LOOP( trialPartonLevelPtr, RN);
  } else if( doUNLOPSSubtNLO ) {
    // The standard prescripition contains no real-emission parts
    // No reweighting, just set event scales properly
    wgt = FullHistory.weight_UNLOPS_SUBTNLO( trialPartonLevelPtr, RN);
  } else if( doUNLOPSSubt ) {
    // The standard prescripition contains no subtraction parts
    // No reweighting, just set event scales properly
    wgt = FullHistory.weight_UNLOPS_SUBT( trialPartonLevelPtr,
            mergingHooksPtr->AlphaS_FSR(), mergingHooksPtr->AlphaS_ISR(), RN);
  }

  // Event with production scales set for further (trial) showering
  // and starting conditions for the shower.
  if (!doUNLOPSSubt && !doUNLOPSSubtNLO && !containsRealKin )
    FullHistory.getStartingConditions(RN, process);
  // Do reclustering (looping) steps.
  else FullHistory.getFirstClusteredEventAboveTMS( RN, nRecluster, process,
    nPerformed, true );

  // Allow to dampen histories in which the lowest multiplicity reclustered
  // state does not pass the lowest multiplicity cut of the matrix element
  double dampWeight = mergingHooksPtr->dampenIfFailCuts(
           FullHistory.lowestMultProc(RN) );
  // Save the weight of the event for histogramming. Only change the
  // event weight after trial shower on the matrix element
  // multiplicity event (= in doVetoStep)
  wgt *= dampWeight;

  // For tree-level or subtractive sammples, rescale with k-Factor
  if ( doUNLOPSTree || doUNLOPSSubt ){
    // Find k-factor
    double kFactor = 1.;
    if ( nSteps > mergingHooksPtr->nMaxJetsNLO() )
      kFactor = mergingHooksPtr->kFactor( mergingHooksPtr->nMaxJetsNLO() );
    else kFactor = mergingHooksPtr->kFactor(nSteps);
    // For NLO merging, rescale CKKW-L weight with k-factor
    wgt *= (nRecluster == 2 && nloTilde) ? 1. : kFactor;
  }

  // Save the weight of the event for histogramming
  mergingHooksPtr->setWeightCKKWL(wgt);

  // Check if we need to subtract the O(\alpha_s)-term. If the number
  // of additional partons is larger than the number of jets for
  // which loop matrix elements are available, do standard UMEPS.
  int nMaxNLO     = mergingHooksPtr->nMaxJetsNLO();
  bool doOASTree  = doUNLOPSTree && nSteps <= nMaxNLO;
  bool doOASSubt  = doUNLOPSSubt && nSteps <= nMaxNLO+1 && nSteps > 0;

  // Now begin NLO part for tree-level events
  if ( doOASTree || doOASSubt ) {

    // Decide on which order to expand to.
    int order = ( nSteps > 0 && nSteps <= nMaxNLO) ? 1 : -1;

    // Exclusive inputs:
    // Subtract only the O(\alpha_s^{n+0})-term from the tree-level
    // subtraction, if we're at the highest NLO multiplicity (nMaxNLO).
    if ( nloTilde && doUNLOPSSubt && nRecluster == 1
      && nSteps == nMaxNLO+1 ) order = 0;

    // Exclusive inputs:
    // Do not remove the O(as)-term if the number of reclusterings
    // exceeds the number of NLO jets, or if more clusterings have
    // been performed.
    if (nloTilde && doUNLOPSSubt && ( nSteps > nMaxNLO+1
      || (nSteps == nMaxNLO+1 && nPerformed != nRecluster) ))
        order = -1;

    // Calculate terms in expansion of the CKKW-L weight.
    wgtFIRST = FullHistory.weight_UNLOPS_CORRECTION( order,
      trialPartonLevelPtr, mergingHooksPtr->AlphaS_FSR(),
      mergingHooksPtr->AlphaS_ISR(), RN, rndmPtr );

    // Exclusive inputs:
    // Subtract the O(\alpha_s^{n+1})-term from the tree-level
    // subtraction, not the O(\alpha_s^{n+0})-terms.
    if ( nloTilde && doUNLOPSSubt && nRecluster == 1
      && nPerformed == nRecluster && nSteps <= nMaxNLO )
      wgtFIRST += 1.;

    // If necessary, also dampen the O(\alpha_s)-term
    wgtFIRST *= dampWeight;
    // Set the subtractive weight to the value calculated so far
    mergingHooksPtr->setWeightFIRST(wgtFIRST);
    // Subtract the O(\alpha_s)-term from the CKKW-L weight
    // If PDF contributions have not been included, subtract these later
    wgt = wgt - wgtFIRST;
  }

  // Set QCD 2->2 starting scale different from arbitrary scale in LHEF!
  // --> Set to minimal mT of partons.
  int nFinal = 0;
  double muf = process[0].e();
  for ( int i=0; i < process.size(); ++i )
  if ( process[i].isFinal()
    && (process[i].colType() != 0 || process[i].id() == 22 ) ) {
    nFinal++;
    muf = min( muf, abs(process[i].mT()) );
  }
  // For pure QCD dijet events (only!), set the process scale to the
  // transverse momentum of the outgoing partons.
  if ( nSteps == 0 && nFinal == 2
    && ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
      || mergingHooksPtr->getProcessString().compare("pp>aj") == 0) )
    process.scale(muf);

  // Reset hard process candidates (changed after clustering a parton).
  mergingHooksPtr->storeHardProcessCandidates( process );

  // Check if resonance structure has been changed
  //  (e.g. because of clustering W/Z/gluino)
  vector  oldResonance;
  for ( int i=0; i < newProcess.size(); ++i )
    if ( newProcess[i].status() == 22 )
      oldResonance.push_back(newProcess[i].id());
  vector  newResonance;
  for ( int i=0; i < process.size(); ++i )
    if ( process[i].status() == 22 )
      newResonance.push_back(process[i].id());
  // Compare old and new resonances
  for ( int i=0; i < int(oldResonance.size()); ++i )
    for ( int j=0; j < int(newResonance.size()); ++j )
      if ( newResonance[j] == oldResonance[i] ) {
        oldResonance[i] = 99;
        break;
      }
  bool hasNewResonances = (newResonance.size() != oldResonance.size());
  for ( int i=0; i < int(oldResonance.size()); ++i )
    hasNewResonances = (oldResonance[i] != 99);

  // If necessary, reattach resonance decay products.
  if (!hasNewResonances) mergingHooksPtr->reattachResonanceDecays(process);

  // Allow merging hooks to remove emissions from now on.
  mergingHooksPtr->doIgnoreEmissions(false);

  // If no-emission probability is zero.
  if ( wgt == 0. ) return 0;

  // If the resonance structure of the process has changed due to reclustering,
  // redo the resonance decays in Pythia::next()
  if (hasNewResonances) return 2;

  // Done
  return 1;

}

//--------------------------------------------------------------------------

// Function to apply the merging scale cut on an input event.

bool Merging::cutOnProcess( Event& process) {

  // Save number of looping steps
  mergingHooksPtr->nReclusterSave = settingsPtr->mode("Merging:nRecluster");
  int nRequested        = settingsPtr->mode("Merging:nRequested");

  // For now, prefer construction of ordered histories.
  mergingHooksPtr->orderHistories(true);
  // For pp > h, allow cut on state, so that underlying processes
  // can be clustered to gg > h
  if ( mergingHooksPtr->getProcessString().compare("pp>h") == 0)
    mergingHooksPtr->allowCutOnRecState(true);

  // Prepare process record for merging. If Pythia has already decayed
  // resonances used to define the hard process, remove resonance decay
  // products.
  Event newProcess( mergingHooksPtr->bareEvent( process, true) );
  // Store candidates for the splitting V -> qqbar'
  mergingHooksPtr->storeHardProcessCandidates( newProcess );

  // Check if event passes the merging scale cut.
  double tmsval  = mergingHooksPtr->tms();
  // Get merging scale in current event.
  double tmsnow  = mergingHooksPtr->tmsNow( newProcess );
  // Calculate number of clustering steps
  int nSteps     = mergingHooksPtr->getNumberOfClusteringSteps( newProcess);

  // Too few steps can be possible if a chain of resonance decays has been
  // removed. In this case, reject this event, since it will be handled in
  // lower-multiplicity samples.
  if (nSteps < nRequested) return true;

  // Reset the minimal tms value, if necessary.
  tmsNowMin = (nSteps == 0) ? 0. : min(tmsNowMin, tmsnow);

  // Potentially recluster real emission jets for powheg input containing
  // "too many" jets, i.e. real-emission kinematics.
  bool containsRealKin = nSteps > nRequested && nSteps > 0;

  // Get random number to choose a path.
  double RN = rndmPtr->flat();
  // Set dummy process scale.
  newProcess.scale(0.0);
  // Generate all histories
  History FullHistory( nSteps, 0.0, newProcess, Clustering(), mergingHooksPtr,
            (*beamAPtr), (*beamBPtr), particleDataPtr, infoPtr, true, true,
            true, true, 1.0, 0);
  // Project histories onto desired branches, e.g. only ordered paths.
  FullHistory.projectOntoDesiredHistories();

  // Remove real emission events without underlying Born configuration from
  // the loop sample, since such states will be taken care of by tree-level
  // samples.
  bool allowIncompleteReal =
    settingsPtr->flag("Merging:allowIncompleteHistoriesInReal");
  if ( containsRealKin && !allowIncompleteReal
    && FullHistory.select(RN)->nClusterings() == 0 )
    return true;

  // Cut if no history passes the cut on the lowest-multiplicity state.
  double dampWeight = mergingHooksPtr->dampenIfFailCuts(
           FullHistory.lowestMultProc(RN) );
  if ( dampWeight == 0. ) return true;

  // Do not apply cut if the configuration could not be projected onto an
  // underlying born configuration.
  if ( nSteps > 0 && FullHistory.select(RN)->nClusterings() == 0 )
    return false;

  // Now enfore merging scale cut if the event did not pass the merging scale
  // criterion.
  if ( nSteps > 0 && nSteps == nRequested && tmsnow < tmsval ) {
    string message="Warning in Merging::cutOnProcess: Les Houches Event";
    message+=" fails merging scale cut. Reject event.";
    infoPtr->errorMsg(message);
    return true;
  }

  if ( FullHistory.select(RN)->nClusterings() < nSteps) {
    string message="Warning in Merging::cutOnProcess: No clusterings";
    message+=" found. History incomplete.";
    infoPtr->errorMsg(message);
  }

  // Done if no real-emission jets are present.
  if ( !containsRealKin ) return false;

  // Now cut on events that contain an additional real-emission jet.
  // Perform one reclustering for real emission kinematics, then apply merging
  // scale cut on underlying Born kinematics.
  if ( containsRealKin ) {
    Event dummy = Event();
    // Initialise temporary output of reclustering.
    dummy.clear();
    dummy.init( "(hard process-modified)", particleDataPtr );
    dummy.clear();
    // Recluster once.
    FullHistory.getClusteredEvent( RN, nSteps, dummy );
    double tnowNew  = mergingHooksPtr->tmsNow( dummy );
    // Veto if underlying Born kinematics do not pass merging scale cut.
    if ( nSteps > 0 && nRequested > 0 && tnowNew < tmsval ) return true;
  }

  // Done if only interested in cross section estimate after cuts.
  return false;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/Event.cc0000644000175000017500000011377712357054760014547 0ustar  sunsun// Event.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// Particle and Event classes, and some related global functions.

#include "Pythia8/Event.h"

namespace Pythia8 {

//==========================================================================

// Particle class.
// This class holds info on a particle in general.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Small number to avoid division by zero.
const double Particle::TINY = 1e-20;

//--------------------------------------------------------------------------

// Set pointer to the particle data species of the particle.

void Particle::setPDEPtr(ParticleDataEntry* pdePtrIn) {
  pdePtr = pdePtrIn; if (pdePtrIn != 0 || evtPtr == 0) return;
  pdePtr = (*evtPtr).particleDataPtr->particleDataEntryPtr( idSave);}

//--------------------------------------------------------------------------

// Functions for rapidity and pseudorapidity.

double Particle::y() const {
  double temp = log( ( pSave.e() + abs(pSave.pz()) ) / max( TINY, mT() ) );
  return (pSave.pz() > 0) ? temp : -temp;
}

double Particle::eta() const {
  double temp = log( ( pSave.pAbs() + abs(pSave.pz()) ) / max( TINY, pT() ) );
  return (pSave.pz() > 0) ? temp : -temp;
}

//--------------------------------------------------------------------------

// Method to find the index of the particle in the event record.

int Particle::index() const { if (evtPtr == 0) return -1;
  return (long(this) - long(&((*evtPtr)[0]))) / sizeof(Particle);
}

//--------------------------------------------------------------------------

// Convert internal Pythia status codes to the HepMC status conventions.

int Particle::statusHepMC() const {
  
  // Positive codes are final particles. Status -12 are beam particles.
  if (statusSave > 0)    return 1;
  if (statusSave == -12) return 4;
  if (evtPtr == 0) return 0;

  // Hadrons, muons, taus that decay normally are status 2.
  if (isHadron() || abs(idSave) == 13 || abs(idSave) == 15) {
    // Particle should not decay into itself  (e.g. Bose-Einstein).
    if ( (*evtPtr)[daughter1Save].id() != idSave) {
      int statusDau = (*evtPtr)[daughter1Save].statusAbs();
      if (statusDau > 90 && statusDau < 95) return 2;
    }
  }

  // Other acceptable negative codes as their positive counterpart.
  if (statusSave <= -11 && statusSave >= -200) return -statusSave;

  // Unacceptable codes as 0.
  return 0;

}

//--------------------------------------------------------------------------

// Trace the first and last copy of one and the same particle.

int Particle::iTopCopy() const {

  if (evtPtr == 0) return -1;
  int iUp = index();
  while ( iUp > 0 && (*evtPtr)[iUp].mother2() == (*evtPtr)[iUp].mother1()
    && (*evtPtr)[iUp].mother1() > 0) iUp = (*evtPtr)[iUp].mother1();
  return iUp;

}

int Particle::iBotCopy() const {

  if (evtPtr == 0) return -1;
  int iDn = index();
  while ( iDn > 0 && (*evtPtr)[iDn].daughter2() == (*evtPtr)[iDn].daughter1()
    && (*evtPtr)[iDn].daughter1() > 0) iDn = (*evtPtr)[iDn].daughter1();
  return iDn;

}

//--------------------------------------------------------------------------

// Trace the first and last copy of one and the same particle,
// also through shower branchings, making use of flavour matches.
// Stops tracing when this gives ambiguities.

int Particle::iTopCopyId() const {

  if (evtPtr == 0) return -1;
  int iUp = index();
  for ( ; ; ) {
    int mother1up = (*evtPtr)[iUp].mother1();
    int id1up     = (mother1up > 0) ? (*evtPtr)[mother1up].id() : 0;
    int mother2up = (*evtPtr)[iUp].mother2();
    int id2up     = (mother2up > 0) ? (*evtPtr)[mother2up].id() : 0;
    if (mother2up != mother1up && id2up == id1up) break;
    if (id1up == idSave) {
      iUp = mother1up;
      continue;
    }
    if (id2up == idSave) {
      iUp = mother2up;
      continue;
    }
    break;
  }
  return iUp;

}

int Particle::iBotCopyId() const {

  if (evtPtr == 0) return -1;
  int iDn = index();
  for ( ; ; ) {
    int daughter1dn = (*evtPtr)[iDn].daughter1();
    int id1dn       = (daughter1dn > 0) ? (*evtPtr)[daughter1dn].id() : 0;
    int daughter2dn = (*evtPtr)[iDn].daughter2();
    int id2dn       = (daughter2dn > 0) ? (*evtPtr)[daughter2dn].id() : 0;
    if (daughter2dn != daughter1dn && id2dn == id1dn) break;
    if (id1dn == idSave) {
      iDn = daughter1dn;
      continue;
    }
    if (id2dn == idSave) {
      iDn = daughter2dn;
      continue;
    }
    break;
  }
  return iDn;

}

//--------------------------------------------------------------------------

// Find complete list of mothers.

vector Particle::motherList() const {

  // Vector of all the mothers; created empty. Done if no event pointer.
  vector motherVec;
  if (evtPtr == 0) return motherVec;

  // Special cases in the beginning, where the meaning of zero is unclear.
  int statusSaveAbs = abs(statusSave);
  if  (statusSaveAbs == 11 || statusSaveAbs == 12) ;
  else if (mother1Save == 0 && mother2Save == 0) motherVec.push_back(0);
    
  // One mother or a carbon copy
  else if (mother2Save == 0 || mother2Save == mother1Save)
    motherVec.push_back(mother1Save);

  // A range of mothers from string fragmentation.
  else if ( (statusSaveAbs >  80 && statusSaveAbs <  90)
         || (statusSaveAbs > 100 && statusSaveAbs < 107) )
    for (int iRange = mother1Save; iRange <= mother2Save; ++iRange)
      motherVec.push_back(iRange);

  // Two separate mothers.
  else {
    motherVec.push_back( min(mother1Save, mother2Save) );
    motherVec.push_back( max(mother1Save, mother2Save) );
  }

  // Done.
  return motherVec;

}

//--------------------------------------------------------------------------

// Find complete list of daughters.

vector Particle::daughterList() const {

  // Vector of all the daughters; created empty. Done if no event pointer.
  vector daughterVec;
  if (evtPtr == 0) return daughterVec;

  // Simple cases: no or one daughter.
  if (daughter1Save == 0 && daughter2Save == 0) ;
  else if (daughter2Save == 0 || daughter2Save == daughter1Save)
    daughterVec.push_back(daughter1Save);

  // A range of daughters.
  else if (daughter2Save > daughter1Save)
    for (int iRange = daughter1Save; iRange <= daughter2Save; ++iRange)
      daughterVec.push_back(iRange);

  // Two separated daughters.
  else {
    daughterVec.push_back(daughter2Save);
    daughterVec.push_back(daughter1Save);
  }

  // Special case for two incoming beams: attach further
  // initiators and remnants that have beam as mother.
  if (abs(statusSave) == 12 || abs(statusSave) == 13) {
    int i = index();
    for (int iDau = i + 1; iDau < evtPtr->size(); ++iDau)
    if ((*evtPtr)[iDau].mother1() == i) {
      bool isIn = false;
      for (int iIn = 0; iIn < int(daughterVec.size()); ++iIn)
        if (iDau == daughterVec[iIn]) isIn = true;
      if (!isIn) daughterVec.push_back(iDau);
    }
  }
    
  // Done.
  return daughterVec;

}

//--------------------------------------------------------------------------

// Find complete list of sisters. Optionally traces up with iTopCopy
// and down with iBotCopy to give sisters at same level of evolution.

vector Particle::sisterList(bool traceTopBot) const {

  // Vector of all the sisters; created empty.
  vector sisterVec;
  if (evtPtr == 0 || abs(statusSave) == 11) return sisterVec;

  // Find all daughters of the mother.
  int iUp     = (traceTopBot) ? iTopCopy() : index();
  int iMother = (*evtPtr)[iUp].mother1();
  vector daughterVec = (*evtPtr)[iMother].daughterList();

  // Copy all daughters, excepting the input particle itself.
  for (int j = 0; j < int(daughterVec.size()); ++j) {
    int iDau  = daughterVec[j];
    if (iDau != iUp) {
      int iDn = (traceTopBot) ? (*evtPtr)[iDau].iBotCopy() : iDau;
      sisterVec.push_back( iDn);
    }
  }

  // Done.
  return sisterVec;

}

//--------------------------------------------------------------------------

// Check whether a given particle is an arbitrarily-steps-removed
// mother to another. For the parton -> hadron transition, only
// first-rank hadrons are associated with the respective end quark.

bool Particle::isAncestor(int iAncestor) const {

  // Begin loop to trace upwards from the daughter.
  if (evtPtr == 0) return false;
  int iUp = index();
  int sizeNow = (*evtPtr).size();
  for ( ; ; ) {

    // If positive match then done.
    if (iUp == iAncestor) return true;

    // If out of range then failed to find match.
    if (iUp <= 0 || iUp > sizeNow) return false;

    // If unique mother then keep on moving up the chain.
    int mother1up = (*evtPtr)[iUp].mother1();
    int mother2up = (*evtPtr)[iUp].mother2();
    if (mother2up == mother1up || mother2up == 0) {iUp = mother1up; continue;}

    // If many mothers, except hadronization, then fail tracing.
    int statusUp = (*evtPtr)[iUp].statusAbs();
    if (statusUp < 81 || statusUp > 86) return false;

    // For hadronization step, fail if not first rank, else move up.
    if (statusUp == 82) {
      iUp = (iUp + 1 < sizeNow && (*evtPtr)[iUp + 1].mother1() == mother1up)
          ? mother1up : mother2up; continue;
    }
    if (statusUp == 83) {
      if ((*evtPtr)[iUp - 1].mother1() == mother1up) return false;
      iUp = mother1up; continue;
    }
    if (statusUp == 84) {
      if (iUp + 1 < sizeNow && (*evtPtr)[iUp + 1].mother1() == mother1up)
        return false;
      iUp = mother1up; continue;
    }

    // Fail for ministring -> one hadron and for junctions.
    return false;

  }
  // End of loop. Should never reach beyond here.
  return false;

}

//--------------------------------------------------------------------------

// Recursively remove the decay products of a particle, update it to be
// undecayed, and update all mother/daughter indices to be correct.
// Warning: assumes that decay chains are nicely ordered.

bool Particle::undoDecay() {

  // Do not remove daughters of a parton, i.e. entry carrying colour.
  if (evtPtr == 0) return false;
  int i = index();
  if (i < 0 || i >= int((*evtPtr).size())) return false;
  if (colSave != 0 || acolSave != 0) return false;

  // Find range of daughters to remove.
  int dau1 = daughter1Save;
  if (dau1 == 0) return false;
  int dau2 = daughter2Save;
  if (dau2 == 0) dau2 = dau1;

  // Refuse if any of the daughters have other mothers.
  for (int j = dau1; j <= dau2; ++j) if ((*evtPtr)[j].mother1() != i
    || ((*evtPtr)[j].mother2() != i && (*evtPtr)[j].mother2() != 0) )
    return false;

  // Initialize range arrays for daughters and granddaughters.
  vector dauBeg, dauEnd;
  dauBeg.push_back( dau1);
  dauEnd.push_back( dau2);

  // Begin recursive search through all decay chains.
  int iRange = 0;
  do {
    for (int j = dauBeg[iRange]; j <= dauEnd[iRange]; ++j)
    if ((*evtPtr)[j].status() < 0) {
      
      // Find new daughter range, if present.
      dau1 = (*evtPtr)[j].daughter1();
      if (dau1 == 0) return false;
      dau2 = (*evtPtr)[j].daughter2();
      if (dau2 == 0) dau2 = dau1;
       
      // Check if the range duplicates or contradicts existing ones.
      bool isNew = true;
      for (int iR = 0; iR < int(dauBeg.size()); ++iR) {
        if (dau1 == dauBeg[iR] && dau2 == dauEnd[iR]) isNew = false;
        else if (dau1 >= dauBeg[iR] && dau1 <= dauEnd[iR]) return false;
        else if (dau2 >= dauBeg[iR] && dau2 <= dauEnd[iR]) return false;
      }

      // Add new range where relevant. Keep ranges ordered.
      if (isNew) {
        dauBeg.push_back( dau1);
        dauEnd.push_back( dau2);
        for (int iR = int(dauBeg.size()) - 1; iR > 0; --iR) {
          if (dauBeg[iR] < dauBeg[iR - 1]) {
            swap( dauBeg[iR], dauBeg[iR - 1]);
            swap( dauEnd[iR], dauEnd[iR - 1]);
          } else break;
        }
      }

    // End of recursive search all decay chains.
    }
  } while (++iRange < int(dauBeg.size()));

  // Join adjacent ranges to reduce number of erase steps.
  if (int(dauBeg.size()) > 1) {
    int iRJ = 0;
    do {
      if (dauEnd[iRJ] + 1 == dauBeg[iRJ + 1]) {
        for (int iRB = iRJ + 1; iRB < int(dauBeg.size()) - 1; ++iRB)
          dauBeg[iRB] = dauBeg[iRB + 1];
        for (int iRE = iRJ; iRE < int(dauEnd.size()) - 1; ++iRE)
          dauEnd[iRE] = dauEnd[iRE + 1];
        dauBeg.pop_back();
        dauEnd.pop_back();
      } else ++iRJ;
    } while (iRJ < int(dauBeg.size()) - 1);
  }

  // Iterate over relevant ranges, from bottom up.
  for (int iR = int(dauBeg.size()) - 1; iR >= 0; --iR) {
    dau1 = dauBeg[iR];
    dau2 = dauEnd[iR];
    int nRem = dau2 - dau1 + 1;

    // Remove daughters in each range.
    (*evtPtr).remove( dau1, dau2);

    // Update subsequent history to account for removed indices.
    for (int j = 0; j < int((*evtPtr).size()); ++j) {
      if ((*evtPtr)[j].mother1() > dau2)
        (*evtPtr)[j].mother1( (*evtPtr)[j].mother1() - nRem );
      if ((*evtPtr)[j].mother2() > dau2)
        (*evtPtr)[j].mother2( (*evtPtr)[j].mother2() - nRem );
      if ((*evtPtr)[j].daughter1() > dau2)
        (*evtPtr)[j].daughter1( (*evtPtr)[j].daughter1() - nRem );
      if ((*evtPtr)[j].daughter2() > dau2)
        (*evtPtr)[j].daughter2( (*evtPtr)[j].daughter2() - nRem );
    }
  }

  // Update mother that has been undecayed.
  statusSave = abs(statusSave);
  daughter1Save = 0;
  daughter2Save = 0;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Particle name, with status but imposed maximum length -> may truncate.

string Particle::nameWithStatus(int maxLen) const {

  if (pdePtr == 0) return " ";
  string temp = (statusSave > 0) ? pdePtr->name(idSave)
    : "(" + pdePtr->name(idSave) + ")";
  while (int(temp.length()) > maxLen) {
    // Remove from end, excluding closing bracket and charge.
    int iRem = temp.find_last_not_of(")+-0");
    temp.erase(iRem, 1);
  }
  return temp;
}

//--------------------------------------------------------------------------

// Add offsets to mother and daughter pointers (must be non-negative).

void Particle::offsetHistory( int minMother, int addMother, int minDaughter,
  int addDaughter) {

  if (addMother < 0 || addDaughter < 0) return;
  if (  mother1Save > minMother  )   mother1Save += addMother;
  if (  mother2Save > minMother  )   mother2Save += addMother;
  if (daughter1Save > minDaughter) daughter1Save += addDaughter;
  if (daughter2Save > minDaughter) daughter2Save += addDaughter;
 
}

//--------------------------------------------------------------------------

// Add offsets to colour and anticolour (must be positive).

void Particle::offsetCol( int addCol) {

  if (addCol < 0) return;
  if ( colSave > 0)  colSave += addCol;
  if (acolSave > 0) acolSave += addCol;

}

//--------------------------------------------------------------------------

// Invariant mass of a pair and its square.
// (Not part of class proper, but tightly linked.)

double m(const Particle& pp1, const Particle& pp2) {
  double m2 = pow2(pp1.e() + pp2.e()) - pow2(pp1.px() + pp2.px())
     - pow2(pp1.py() + pp2.py()) - pow2(pp1.pz() + pp2.pz());
  return (m2 > 0. ? sqrt(m2) : 0.);
}

double m2(const Particle& pp1, const Particle& pp2) {
  double m2 = pow2(pp1.e() + pp2.e()) - pow2(pp1.px() + pp2.px())
     - pow2(pp1.py() + pp2.py()) - pow2(pp1.pz() + pp2.pz());
  return m2;
}

//==========================================================================

// Event class.
// This class holds info on the complete event record.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maxmimum number of mothers or daughter indices per line in listing.
const int Event::IPERLINE = 20;

//--------------------------------------------------------------------------

// Copy all information from one event record to another.
  
Event& Event::operator=( const Event& oldEvent) {

  // Do not copy if same.
  if (this != &oldEvent) {

    // Reset all current info in the event.
    clear();

    // Copy particle data table; needed for individual particles.
    particleDataPtr     = oldEvent.particleDataPtr;

    // Copy all the particles one by one.
    maxColTag = 100;
    for (int i = 0; i < oldEvent.size(); ++i) append( oldEvent[i] );

    // Copy all the junctions one by one.
    for (int i = 0; i < oldEvent.sizeJunction(); ++i)
      appendJunction( oldEvent.getJunction(i) );

    // Copy all other values.
    startColTag         = oldEvent.startColTag;
    maxColTag           = oldEvent.maxColTag;
    savedSize           = oldEvent.savedSize;
    savedJunctionSize   = oldEvent.savedJunctionSize;
    scaleSave           = oldEvent.scaleSave;
    scaleSecondSave     = oldEvent.scaleSecondSave;
    headerList          = oldEvent.headerList;

  // Done.
  }
  return *this;

}

//--------------------------------------------------------------------------

// Add a copy of an existing particle at the end of the event record;
// return index. Three cases, depending on sign of new status code:
// Positive: copy is viewed as daughter, status of original is negated.
// Negative: copy is viewed as mother, status of original is unchanged.
// Zero: the new is a perfect carbon copy (maybe to be changed later).

int Event::copy(int iCopy, int newStatus) {

  // Protect against attempt to copy negative entries (e.g., junction codes)
  // or entries beyond end of record.
  if (iCopy < 0 || iCopy >= size()) return -1;

  // Simple carbon copy.
  entry.push_back(entry[iCopy]);
  int iNew = entry.size() - 1;

  // Set up to make new daughter of old.
  if (newStatus > 0) {
    entry[iCopy].daughters(iNew,iNew);
    entry[iCopy].statusNeg();
    entry[iNew].mothers(iCopy, iCopy);
    entry[iNew].status(newStatus);
    
  // Set up to make new mother of old.
  } else if (newStatus < 0) {
    entry[iCopy].mothers(iNew,iNew);
    entry[iNew].daughters(iCopy, iCopy);
    entry[iNew].status(newStatus);
  }

  // Done.
  return iNew;

}

//--------------------------------------------------------------------------

// Print an event - special cases that rely on the general method.
// Not inline to make them directly callable in (some) debuggers.

void Event::list() const {
  list(false, false, cout);
}

void Event::list(ostream& os) const {
  list(false, false, os);
}

void Event::list(bool showScaleAndVertex, bool showMothersAndDaughters)
  const {
  list(showScaleAndVertex, showMothersAndDaughters, cout);
}

//--------------------------------------------------------------------------

// Print an event.

void Event::list(bool showScaleAndVertex, bool showMothersAndDaughters,
  ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA Event Listing  " << headerList << "----------"
     << "-------------------------------------------------\n \n    no    "
     << "    id   name            status     mothers   daughters     colou"
     << "rs      p_x        p_y        p_z         e          m \n";
  if (showScaleAndVertex)
    os << "                                    scale         pol          "
       << "                   xProd      yProd      zProd      tProd      "
       << " tau\n";

  // At high energy switch to scientific format for momenta.
  bool useFixed = (entry.empty() || entry[0].e() < 1e5);

  // Listing of complete event.
  Vec4 pSum;
  double chargeSum = 0.;
  for (int i = 0; i < int(entry.size()); ++i) {
    const Particle& pt = entry[i];

    // Basic line for a particle, always printed.
    os << setw(6) << i << setw(10) << pt.id() << "   " << left
       << setw(18) << pt.nameWithStatus(18) << right << setw(4)
       << pt.status() << setw(6) << pt.mother1() << setw(6)
       << pt.mother2() << setw(6) << pt.daughter1() << setw(6)
       << pt.daughter2() << setw(6) << pt.col() << setw(6) << pt.acol()
       << ( (useFixed) ? fixed : scientific ) << setprecision(3)
       << setw(11) << pt.px() << setw(11) << pt.py() << setw(11)
       << pt.pz() << setw(11) << pt.e() << setw(11) << pt.m() << "\n";

    // Optional extra line for scale value, polarization and production vertex.
    if (showScaleAndVertex)
      os << "                              " << setw(11) << pt.scale()
         << " " << fixed << setprecision(3) << setw(11) << pt.pol()
         << "                        " << scientific << setprecision(3)
         << setw(11) << pt.xProd() << setw(11) << pt.yProd()
         << setw(11) << pt.zProd() << setw(11) << pt.tProd()
         << setw(11) << pt.tau() << "\n";

    // Optional extra line, giving a complete list of mothers and daughters.
    if (showMothersAndDaughters) {
      int linefill = 2;
      os << "                mothers:";
      vector allMothers = motherList(i);
      for (int j = 0; j < int(allMothers.size()); ++j) {
        os << " " <<  allMothers[j];
        if (++linefill == IPERLINE) {os << "\n                "; linefill = 0;}
      }
      os << ";   daughters:";
      vector allDaughters = daughterList(i);
      for (int j = 0; j < int(allDaughters.size()); ++j) {
        os << " " <<  allDaughters[j];
        if (++linefill == IPERLINE) {os << "\n                "; linefill = 0;}
      }
      if (linefill !=0) os << "\n";
    }

    // Extra blank separation line when each particle spans more than one line.
    if (showScaleAndVertex || showMothersAndDaughters) os << "\n";

    // Statistics on momentum and charge.
    if (entry[i].status() > 0) {
      pSum += entry[i].p();
      chargeSum += entry[i].charge();
    }
  }

  // Line with sum charge, momentum, energy and invariant mass.
  os << fixed << setprecision(3) << "                                   "
     << "Charge sum:" << setw(7) << chargeSum << "           Momentum sum:"
     << ( (useFixed) ? fixed : scientific ) << setprecision(3)
     << setw(11) << pSum.px() << setw(11) << pSum.py() << setw(11)
     << pSum.pz() << setw(11) << pSum.e() << setw(11) << pSum.mCalc()
     << "\n";

  // Listing finished.
  os << "\n --------  End PYTHIA Event Listing  ----------------------------"
     << "-------------------------------------------------------------------"
     << endl;
}

//--------------------------------------------------------------------------

// Recursively remove the decay products of particle i, update it to be
// undecayed, and update all mother/daughter indices to be correct.
// Warning: assumes that decay chains are nicely ordered.

bool Event::undoDecay(int i) {

  // Do not remove daughters of a parton, i.e. entry carrying colour.
  if (i < 0 || i >= int(entry.size())) return false;
  if (entry[i].col() != 0 || entry[i].acol() != 0) return false;

  // Find range of daughters to remove.
  int dau1 = entry[i].daughter1();
  if (dau1 == 0) return false;
  int dau2 = entry[i].daughter2();
  if (dau2 == 0) dau2 = dau1;

  // Refuse if any of the daughters have other mothers.
  for (int j = dau1; j <= dau2; ++j) if (entry[j].mother1() != i
    || (entry[j].mother2() != i && entry[j].mother2() != 0) ) return false;

  // Initialize range arrays for daughters and granddaughters.
  vector dauBeg, dauEnd;
  dauBeg.push_back( dau1);
  dauEnd.push_back( dau2);

  // Begin recursive search through all decay chains.
  int iRange = 0;
  do {
    for (int j = dauBeg[iRange]; j <= dauEnd[iRange]; ++j)
    if (entry[j].status() < 0) {
      
      // Find new daughter range, if present.
      dau1 = entry[j].daughter1();
      if (dau1 == 0) return false;
      dau2 = entry[j].daughter2();
      if (dau2 == 0) dau2 = dau1;
       
      // Check if the range duplicates or contradicts existing ones.
      bool isNew = true;
      for (int iR = 0; iR < int(dauBeg.size()); ++iR) {
        if (dau1 == dauBeg[iR] && dau2 == dauEnd[iR]) isNew = false;
        else if (dau1 >= dauBeg[iR] && dau1 <= dauEnd[iR]) return false;
        else if (dau2 >= dauBeg[iR] && dau2 <= dauEnd[iR]) return false;
      }

      // Add new range where relevant. Keep ranges ordered.
      if (isNew) {
        dauBeg.push_back( dau1);
        dauEnd.push_back( dau2);
        for (int iR = int(dauBeg.size()) - 1; iR > 0; --iR) {
          if (dauBeg[iR] < dauBeg[iR - 1]) {
            swap( dauBeg[iR], dauBeg[iR - 1]);
            swap( dauEnd[iR], dauEnd[iR - 1]);
          } else break;
        }
      }

    // End of recursive search all decay chains.
    }
  } while (++iRange < int(dauBeg.size()));

  // Join adjacent ranges to reduce number of erase steps.
  if (int(dauBeg.size()) > 1) {
     int iRJ = 0;
    do {
      if (dauEnd[iRJ] + 1 == dauBeg[iRJ + 1]) {
        for (int iRB = iRJ + 1; iRB < int(dauBeg.size()) - 1; ++iRB)
          dauBeg[iRB] = dauBeg[iRB + 1];
        for (int iRE = iRJ; iRE < int(dauEnd.size()) - 1; ++iRE)
          dauEnd[iRE] = dauEnd[iRE + 1];
        dauBeg.pop_back();
        dauEnd.pop_back();
      } else ++iRJ;
    } while (iRJ < int(dauBeg.size()) - 1);
  }

  // Iterate over relevant ranges, from bottom up.
  for (int iR = int(dauBeg.size()) - 1; iR >= 0; --iR) {
    dau1 = dauBeg[iR];
    dau2 = dauEnd[iR];
    int nRem = dau2 - dau1 + 1;

    // Remove daughters in each range.
    entry.erase( entry.begin() + dau1, entry.begin() + dau2 + 1);

    // Update subsequent history to account for removed indices.
    for (int j = 0; j < int(entry.size()); ++j) {
      if (entry[j].mother1() > dau2)
        entry[j].mother1( entry[j].mother1() - nRem );
      if (entry[j].mother2() > dau2)
        entry[j].mother2( entry[j].mother2() - nRem );
      if (entry[j].daughter1() > dau2)
        entry[j].daughter1( entry[j].daughter1() - nRem );
      if (entry[j].daughter2() > dau2)
        entry[j].daughter2( entry[j].daughter2() - nRem );
    }
  }

  // Update mother that has been undecayed.
  entry[i].statusPos();
  entry[i].daughters();

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Find complete list of mothers.

vector Event::motherList(int i) const {

  // Vector of all the mothers; created empty.
  vector mothers;

  // Read out the two official mother indices and status code.
  int mother1   = entry[i].mother1();
  int mother2   = entry[i].mother2();
  int statusAbs = entry[i].statusAbs();

  // Special cases in the beginning, where the meaning of zero is unclear.
  if  (statusAbs == 11 || statusAbs == 12) ;
  else if (mother1 == 0 && mother2 == 0) mothers.push_back(0);
    
  // One mother or a carbon copy
  else if (mother2 == 0 || mother2 == mother1) mothers.push_back(mother1);

  // A range of mothers from string fragmentation.
  else if ( (statusAbs >  80 && statusAbs <  90)
         || (statusAbs > 100 && statusAbs < 107) )
    for (int iRange = mother1; iRange <= mother2; ++iRange)
      mothers.push_back(iRange);

  // Two separate mothers.
  else {
    mothers.push_back( min(mother1, mother2) );
    mothers.push_back( max(mother1, mother2) );
  }

  // Done.
  return mothers;

}

//--------------------------------------------------------------------------

// Find complete list of daughters.

vector Event::daughterList(int i) const {

  // Vector of all the daughters; created empty.
  vector daughters;

  // Read out the two official daughter indices.
  int daughter1 = entry[i].daughter1();
  int daughter2 = entry[i].daughter2();

  // Simple cases: no or one daughter.
  if (daughter1 == 0 && daughter2 == 0) ;
  else if (daughter2 == 0 || daughter2 == daughter1)
    daughters.push_back(daughter1);

  // A range of daughters.
  else if (daughter2 > daughter1)
    for (int iRange = daughter1; iRange <= daughter2; ++iRange)
      daughters.push_back(iRange);

  // Two separated daughters.
  else {
    daughters.push_back(daughter2);
    daughters.push_back(daughter1);
  }

  // Special case for two incoming beams: attach further
  // initiators and remnants that have beam as mother.
  if (entry[i].statusAbs() == 12 || entry[i].statusAbs() == 13)
  for (int iDau = i + 1; iDau < size(); ++iDau)
  if (entry[iDau].mother1() == i) {
    bool isIn = false;
    for (int iIn = 0; iIn < int(daughters.size()); ++iIn)
      if (iDau == daughters[iIn]) isIn = true;
    if (!isIn) daughters.push_back(iDau);
  }
    
  // Done.
  return daughters;

}

//--------------------------------------------------------------------------

// Convert internal Pythia status codes to the HepMC status conventions.

int Event::statusHepMC(int i) const {
  
  // Positive codes are final particles. Status -12 are beam particles.
  int statusNow     = entry[i].status();
  if (statusNow > 0)    return 1;
  if (statusNow == -12) return 4;

  // Hadrons, muons, taus that decay normally are status 2.
  int idNow         = entry[i].id();
  if (entry[i].isHadron() || abs(idNow) == 13 || abs(idNow) == 15) {
    int iDau        = entry[i].daughter1();
    // Particle should not decay into itself  (e.g. Bose-Einstein).
    if ( entry[iDau].id() != idNow) {
      int statusDau = entry[ iDau ].statusAbs();
      if (statusDau > 90 && statusDau < 95) return 2;
    }
  }

  // Other acceptable negative codes as their positive counterpart.
  if (statusNow <= -11 && statusNow >= -200) return -statusNow;

  // Unacceptable codes as 0.
  return 0;

}

//--------------------------------------------------------------------------

// Trace the first and last copy of one and the same particle.

int Event::iTopCopy( int i) const {

  int iUp = i;
  while ( iUp > 0 && entry[iUp].mother2() == entry[iUp].mother1()
    && entry[iUp].mother1() > 0) iUp = entry[iUp].mother1();
  return iUp;

}

int Event::iBotCopy( int i) const {

  int iDn = i;
  while ( iDn > 0 && entry[iDn].daughter2() == entry[iDn].daughter1()
    && entry[iDn].daughter1() > 0) iDn = entry[iDn].daughter1();
  return iDn;

}

//--------------------------------------------------------------------------

// Trace the first and last copy of one and the same particle,
// also through shower branchings, making use of flavour matches.
// Stops tracing when this gives ambiguities.

int Event::iTopCopyId( int i) const {

  int id = entry[i].id();
  int iUp = i;
  for ( ; ; ) {
    int mother1 = entry[iUp].mother1();
    int id1     = (mother1 > 0) ? entry[mother1].id() : 0;
    int mother2 = entry[iUp].mother2();
    int id2     = (mother2 > 0) ? entry[mother2].id() : 0;
    if (mother2 != mother1 && id2 == id1) break;
    if (id1 == id) {
      iUp = mother1;
      continue;
    }
    if (id2 == id) {
      iUp = mother2;
      continue;
    }
    break;
  }
  return iUp;

}

int Event::iBotCopyId( int i) const {

  int id = entry[i].id();
  int iDn = i;
  for ( ; ; ) {
    int daughter1 = entry[iDn].daughter1();
    int id1       = (daughter1 > 0) ? entry[daughter1].id() : 0;
    int daughter2 = entry[iDn].daughter2();
    int id2       = (daughter2 > 0) ? entry[daughter2].id() : 0;
    if (daughter2 != daughter1 && id2 == id1) break;
    if (id1 == id) {
      iDn = daughter1;
      continue;
    }
    if (id2 == id) {
      iDn = daughter2;
      continue;
    }
    break;
  }
  return iDn;

}

//--------------------------------------------------------------------------

// Find complete list of sisters.

vector Event::sisterList(int i) const {

  // Vector of all the sisters; created empty.
  vector sisters;
  if (entry[i].statusAbs() == 11) return sisters;

  // Find mother and all its daughters.
  int iMother = entry[i].mother1();
  vector daughters = daughterList(iMother);

  // Copy all daughters, excepting the input particle itself.
  for (int j = 0; j < int(daughters.size()); ++j)
  if (daughters[j] != i) sisters.push_back( daughters[j] );

  // Done.
  return sisters;

}

//--------------------------------------------------------------------------

// Find complete list of sisters. Traces up with iTopCopy and
// down with iBotCopy to give sisters at same level of evolution.
// Should this not give any final particles, the search is widened.

vector Event::sisterListTopBot(int i, bool widenSearch) const {

  // Vector of all the sisters; created empty.
  vector sisters;
  if (entry[i].statusAbs() == 11) return sisters;

  // Trace up to first copy of current particle.
  int iUp = iTopCopy(i);

  // Find mother and all its daughters.
  int iMother = entry[iUp].mother1();
  vector daughters = daughterList(iMother);

  // Trace all daughters down, excepting the input particle itself.
  for (int jD = 0; jD < int(daughters.size()); ++jD)
  if (daughters[jD] != iUp)
    sisters.push_back( iBotCopy( daughters[jD] ) );

  // Prune any non-final particles from list.
  int jP = 0;
  while (jP < int(sisters.size())) {
    if (entry[sisters[jP]].status() > 0) ++jP;
    else {
      sisters[jP] = sisters.back();
      sisters.pop_back();
    }
  }

  // If empty list then restore immediate daughters.
  if (sisters.size() == 0 && widenSearch) {
    for (int jR = 0; jR < int(daughters.size()); ++jR)
    if (daughters[jR] != iUp)
      sisters.push_back( iBotCopy( daughters[jR] ) );
    
    // Then trace all daughters, not only bottom copy.
    for (int jT = 0; jT < int(sisters.size()); ++jT) {
      daughters = daughterList( sisters[jT] );
      for (int k = 0; k < int(daughters.size()); ++k)
        sisters.push_back( daughters[k] );
    }
  
    // And then prune any non-final particles from list.
    int jN = 0;
    while (jN < int(sisters.size())) {
      if (entry[sisters[jN]].status() > 0) ++jN;
      else {
        sisters[jN] = sisters.back();
        sisters.pop_back();
      }
    }
  }

  // Done.
  return sisters;

}

//--------------------------------------------------------------------------

// Check whether a given particle is an arbitrarily-steps-removed
// mother to another. For the parton -> hadron transition, only
// first-rank hadrons are associated with the respective end quark.

bool Event::isAncestor(int i, int iAncestor) const {

  // Begin loop to trace upwards from the daughter.
  int iUp = i;
  for ( ; ; ) {

    // If positive match then done.
    if (iUp == iAncestor) return true;

    // If out of range then failed to find match.
    if (iUp <= 0 || iUp > size()) return false;

    // If unique mother then keep on moving up the chain.
    int mother1 = entry[iUp].mother1();
    int mother2 = entry[iUp].mother2();
    if (mother2 == mother1 || mother2 == 0) {iUp = mother1; continue;}

    // If many mothers, except hadronization, then fail tracing.
    int status = entry[iUp].statusAbs();
    if (status < 81 || status > 86) return false;

    // For hadronization step, fail if not first rank, else move up.
    if (status == 82) {
      iUp = (iUp + 1 < size() && entry[iUp + 1].mother1() == mother1)
          ? mother1 : mother2; continue;
    }
    if (status == 83) {
      if (entry[iUp - 1].mother1() == mother1) return false;
      iUp = mother1; continue;
    }
    if (status == 84) {
      if (iUp + 1 < size() && entry[iUp + 1].mother1() == mother1)
        return false;
      iUp = mother1; continue;
    }

    // Fail for ministring -> one hadron and for junctions.
    return false;

  }
  // End of loop. Should never reach beyond here.
  return false;

}

//--------------------------------------------------------------------------

// Erase junction stored in specified slot and move up the ones under.

void Event::eraseJunction(int i) {
 
  for (int j = i; j < int(junction.size()) - 1; ++j)
    junction[j] = junction[j + 1];
  junction.pop_back();

}

//--------------------------------------------------------------------------

// Print the junctions in an event.

void Event::listJunctions(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA Junction Listing  "
     << headerList.substr(0,30) << "\n \n    no  kind  col0  col1  col2 "
     << "endc0 endc1 endc2 stat0 stat1 stat2\n";

  // Loop through junctions in event and list them.
  for (int i = 0; i < sizeJunction(); ++i)
    os << setw(6) << i << setw(6) << kindJunction(i) << setw(6)
       << colJunction(i, 0) << setw(6) << colJunction(i, 1) << setw(6)
       << colJunction(i, 2) << setw(6) << endColJunction(i, 0) << setw(6)
       << endColJunction(i, 1) << setw(6) << endColJunction(i, 2) << setw(6)
       << statusJunction(i, 0) << setw(6) << statusJunction(i, 1) << setw(6)
       << statusJunction(i, 2) << "\n";

  // Alternative if no junctions. Listing finished.
  if (sizeJunction() == 0) os << "    no junctions present \n";
  os << "\n --------  End PYTHIA Junction Listing  --------------------"
     << "------" << endl;
}

//--------------------------------------------------------------------------

// Operator overloading allows to append one event to an existing one.
  
Event& Event::operator+=( const Event& addEvent) {

  // Find offsets. One less since won't copy line 0.
  int offsetIdx = entry.size() - 1;
  int offsetCol = maxColTag;

  // Add energy to zeroth line and calculate new invariant mass.
  entry[0].p( entry[0].p() + addEvent[0].p() );
  entry[0].m( entry[0].mCalc() );

  // Read out particles from line 1 (not 0) onwards.
  Particle temp;
  for (int i = 1; i < addEvent.size(); ++i) {
    temp = addEvent[i];

    // Add offset to nonzero mother, daughter and colour indices.
    if (temp.mother1() > 0) temp.mother1( temp.mother1() + offsetIdx );
    if (temp.mother2() > 0) temp.mother2( temp.mother2() + offsetIdx );
    if (temp.daughter1() > 0) temp.daughter1( temp.daughter1() + offsetIdx );
    if (temp.daughter2() > 0) temp.daughter2( temp.daughter2() + offsetIdx );
    if (temp.col() > 0) temp.col( temp.col() + offsetCol );
    if (temp.acol() > 0) temp.acol( temp.acol() + offsetCol );

    // Append particle to summed event.
    append( temp );
  }

  // Read out junctions one by one.
  Junction tempJ;
  int begCol, endCol;
  for (int i = 0; i < addEvent.sizeJunction(); ++i) {
    tempJ = addEvent.getJunction(i);
    
    // Add colour offsets to all three legs.
    for (int  j = 0; j < 3; ++j) {
      begCol = tempJ.col(j);
      endCol = tempJ.endCol(j);
      if (begCol > 0) begCol += offsetCol;
      if (endCol > 0) endCol += offsetCol;
      tempJ.cols( j, begCol, endCol);
    }

    // Append junction to summed event.
    appendJunction( tempJ );
  }

  // Set header that indicates character as sum of events.
  headerList = "(combination of several events)  -------";

  // Done.
  return *this;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/UserHooks.cc0000644000175000017500000002360312357054765015401 0ustar  sunsun// UserHooks.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the UserHooks class.

// Note: compilation crashes if PhaseSpace.h is moved to UserHooks.h.
#include "Pythia8/PhaseSpace.h"
#include "Pythia8/UserHooks.h"

namespace Pythia8 {
 
//==========================================================================

// The UserHooks class.

//--------------------------------------------------------------------------

// multiplySigmaBy allows the user to introduce a multiplicative factor
// that modifies the cross section of a hard process. Since it is called
// from before the event record is generated in full, the normal analysis
// does not work. The code here provides a rather extensive summary of
// which methods actually do work. It is a convenient starting point for
// writing your own derived routine.

double UserHooks::multiplySigmaBy( const SigmaProcess* sigmaProcessPtr,
  const PhaseSpace* phaseSpacePtr, bool inEvent) {

  // Process code, necessary when some to be treated differently.
  //int code       = sigmaProcessPtr->code();

  // Final multiplicity, i.e. whether 2 -> 1 or 2 -> 2.
  //int nFinal     = sigmaProcessPtr->nFinal();

  // Incoming x1 and x2 to the hard collision, and factorization scale.
  //double x1      = phaseSpacePtr->x1();
  //double x2      = phaseSpacePtr->x2();
  //double Q2Fac   = sigmaProcessPtr->Q2Fac();

  // Renormalization scale and assumed alpha_strong and alpha_EM.
  //double Q2Ren   = sigmaProcessPtr->Q2Ren();
  //double alphaS  = sigmaProcessPtr->alphaSRen();
  //double alphaEM = sigmaProcessPtr->alphaEMRen();
  
  // Subprocess mass-square.
  //double sHat = phaseSpacePtr->sHat();

  // Now methods only relevant for 2 -> 2.
  //if (nFinal == 2) {
    
    // Mandelstam variables and hard-process pT.
    //double tHat  = phaseSpacePtr->tHat();
    //double uHat  = phaseSpacePtr->uHat();
    //double pTHat = phaseSpacePtr->pTHat();
  
    // Masses of the final-state particles. (Here 0 for light quarks.)
    //double m3    = sigmaProcessPtr->m(3);
    //double m4    = sigmaProcessPtr->m(4);
  //}

  // Dummy statement to avoid compiler warnings.
  return ((inEvent && sigmaProcessPtr->code() == 0
    && phaseSpacePtr->sHat() < 0.) ? 0. : 1.);

}

//--------------------------------------------------------------------------

// biasSelectionBy allows the user to introduce a multiplicative factor
// that modifies the cross section of a hard process. The event is assigned
// a wegith that is the inverse of the selection bias, such that the
// cross section is unchanged. Since it is called from before the
// event record is generated in full, the normal analysis does not work.
// The code here provides a rather extensive summary of which methods
// actually do work. It is a convenient starting point for writing
// your own derived routine.

double UserHooks::biasSelectionBy( const SigmaProcess* sigmaProcessPtr,
  const PhaseSpace* phaseSpacePtr, bool inEvent) {

  // Process code, necessary when some to be treated differently.
  //int code       = sigmaProcessPtr->code();

  // Final multiplicity, i.e. whether 2 -> 1 or 2 -> 2.
  //int nFinal     = sigmaProcessPtr->nFinal();

  // Incoming x1 and x2 to the hard collision, and factorization scale.
  //double x1      = phaseSpacePtr->x1();
  //double x2      = phaseSpacePtr->x2();
  //double Q2Fac   = sigmaProcessPtr->Q2Fac();

  // Renormalization scale and assumed alpha_strong and alpha_EM.
  //double Q2Ren   = sigmaProcessPtr->Q2Ren();
  //double alphaS  = sigmaProcessPtr->alphaSRen();
  //double alphaEM = sigmaProcessPtr->alphaEMRen();
  
  // Subprocess mass-square.
  //double sHat = phaseSpacePtr->sHat();

  // Now methods only relevant for 2 -> 2.
  //if (nFinal == 2) {
    
    // Mandelstam variables and hard-process pT.
    //double tHat  = phaseSpacePtr->tHat();
    //double uHat  = phaseSpacePtr->uHat();
    //double pTHat = phaseSpacePtr->pTHat();
  
    // Masses of the final-state particles. (Here 0 for light quarks.)
    //double m3    = sigmaProcessPtr->m(3);
    //double m4    = sigmaProcessPtr->m(4);
  //}

  // Insert here your calculation of the selection bias.
  // Here illustrated by a weighting up of events at high pT.
  //selBias = pow4(phaseSpacePtr->pTHat());

  // Return the selBias weight.
  // Warning: if you use another variable than selBias
  // the compensating weight will not be set correctly.
  //return selBias;

  // Dummy statement to avoid compiler warnings.
  return ((inEvent && sigmaProcessPtr->code() == 0
    && phaseSpacePtr->sHat() < 0.) ? 0. : 1.);
}

//--------------------------------------------------------------------------

// omitResonanceDecays omits resonance decay chains from process record.

void UserHooks::omitResonanceDecays(const Event& process, bool finalOnly) {

  // Reset work event to be empty
  workEvent.clear();

  // Loop through all partons. Beam particles should be copied.
  for (int i = 0; i < process.size(); ++i) {
    bool doCopy  = false;
    bool isFinal = false;
    if (i < 3) doCopy = true;

    // Daughters of beams should normally be copied.
    else {
      int iMother = process[i].mother1();
      if (iMother == 1 || iMother == 2) doCopy = true;
       
      // Granddaughters of beams should normally be copied and are final.
      else if (iMother > 2) {
        int iGrandMother =  process[iMother].mother1();
        if (iGrandMother == 1 || iGrandMother == 2) {
          doCopy  = true;
          isFinal = true;
        }
      }
    }

    // Optionally non-final are not copied.
    if (finalOnly && !isFinal) doCopy = false;
   
    // Do copying and modify status/daughters of final.
    if (doCopy) {
      int iNew = workEvent.append( process[i]);
      if (isFinal) {
        workEvent[iNew].statusPos();
        workEvent[iNew].daughters( 0, 0);
        // When final only : no mothers; position in full event as daughters.
        if (finalOnly) {
          workEvent[iNew].mothers( 0, 0);
          workEvent[iNew].daughters( i, i);
        }
      }
    }
  }

}

//--------------------------------------------------------------------------

// subEvent extracts currently resolved partons in the hard process.

void UserHooks::subEvent(const Event& event, bool isHardest) {

  // Reset work event to be empty.
  workEvent.clear();

  // At the PartonLevel final partons are bookkept by subsystem.
  if (partonSystemsPtr->sizeSys() > 0) {

    // Find which subsystem to study.
    int iSys = 0;
    if (!isHardest) iSys = partonSystemsPtr->sizeSys() - 1;

    // Loop through all the final partons of the given subsystem.
    for (int i = 0; i < partonSystemsPtr->sizeOut(iSys); ++i) {
      int iOld = partonSystemsPtr->getOut( iSys, i);

      // Copy partons to work event.
      int iNew = workEvent.append( event[iOld]);

      // No mothers. Position in full event as daughters.
      workEvent[iNew].mothers( 0, 0);
      workEvent[iNew].daughters( iOld, iOld);
    }

  // At the ProcessLevel no subsystems have been defined.
  } else {

    // Loop through all partons, and copy all final ones.
    for (int iOld = 0; iOld < event.size(); ++iOld)
    if (event[iOld].isFinal()) {
      int iNew = workEvent.append( event[iOld]);

      // No mothers. Position in full event as daughters.
      workEvent[iNew].mothers( 0, 0);
      workEvent[iNew].daughters( iOld, iOld);
    }
  }
 
}
 
//==========================================================================

// The SuppressSmallPT class, derived from UserHooks.

//--------------------------------------------------------------------------

// Modify event weight at the trial level, before selection.

double SuppressSmallPT::multiplySigmaBy( const SigmaProcess* sigmaProcessPtr,
  const PhaseSpace* phaseSpacePtr, bool ) {

  // Need to initialize first time this method is called.
  if (!isInit) {
    
    // Calculate pT0 as for multiparton interactions.
    // Fudge factor allows offset relative to MPI framework.
    double eCM    = phaseSpacePtr->ecm();
    double pT0Ref = settingsPtr->parm("MultipartonInteractions:pT0Ref");
    double ecmRef = settingsPtr->parm("MultipartonInteractions:ecmRef");
    double ecmPow = settingsPtr->parm("MultipartonInteractions:ecmPow");
    double pT0    = pT0timesMPI * pT0Ref * pow(eCM / ecmRef, ecmPow);
    pT20          = pT0 * pT0;
  
    // Initialize alpha_strong object as for multiparton interactions,
    // alternatively as for hard processes.
    double alphaSvalue;
    int    alphaSorder;
    int    alphaSnfmax = settingsPtr->mode("StandardModel:alphaSnfmax");
    if (useSameAlphaSasMPI) {
      alphaSvalue = settingsPtr->parm("MultipartonInteractions:alphaSvalue");
      alphaSorder = settingsPtr->mode("MultipartonInteractions:alphaSorder");
    } else {
      alphaSvalue = settingsPtr->parm("SigmaProcess:alphaSvalue");
      alphaSorder = settingsPtr->mode("SigmaProcess:alphaSorder");
    }
    alphaS.init( alphaSvalue, alphaSorder, alphaSnfmax, false);

    // Initialization finished.
    isInit = true;
  }
        
  // Only modify 2 -> 2 processes.
  int nFinal = sigmaProcessPtr->nFinal();
  if (nFinal != 2) return 1.;

  // pT scale of process. Weight pT^4 / (pT^2 + pT0^2)^2
  double pTHat     = phaseSpacePtr->pTHat();
  double pT2       = pTHat * pTHat;
  double wt        = pow2( pT2 / (pT20 + pT2) );

  if (numberAlphaS > 0) {
    // Renormalization scale and assumed alpha_strong.
    double Q2RenOld  = sigmaProcessPtr->Q2Ren();
    double alphaSOld = sigmaProcessPtr->alphaSRen();

    // Reweight to new alpha_strong at new scale.
    double Q2RenNew  = pT20 + Q2RenOld;
    double alphaSNew = alphaS.alphaS(Q2RenNew);
    wt              *= pow( alphaSNew / alphaSOld, numberAlphaS);
  }

  // End weight calculation.
  return wt;

}

 
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaQCD.cc0000644000175000017500000013350512357054764015051 0ustar  sunsun// SigmaQCD.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// QCD simulation classes.

#include "Pythia8/SigmaQCD.h"

namespace Pythia8 {

//==========================================================================

// Sigma0AB2AB class.
// Cross section for elastic scattering A B -> A B.

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma0AB2AB::setIdColAcol() {

  // Flavours and colours are trivial.
  setId( idA, idB, idA, idB);
  setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
}

//==========================================================================

// Sigma0AB2XB class.
// Cross section for single diffractive scattering A B -> X B.

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma0AB2XB::setIdColAcol() {

  // Flavours and colours are trivial.
  int idX          = 10* (abs(idA) / 10) + 9900000;
  if (idA < 0) idX = -idX;
  setId( idA, idB, idX, idB);
  setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);

}

//==========================================================================

// Sigma0AB2AX class.
// Cross section for single diffractive scattering A B -> A X.

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma0AB2AX::setIdColAcol() {

  // Flavours and colours are trivial.
  int idX          = 10* (abs(idB) / 10) + 9900000;
  if (idB < 0) idX = -idX;
  setId( idA, idB, idA, idX);
  setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);

}

//==========================================================================

// Sigma0AB2XX class.
// Cross section for double diffractive scattering A B -> X X.

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma0AB2XX::setIdColAcol() {

  // Flavours and colours are trivial.
  int          idX1 = 10* (abs(idA) / 10) + 9900000;
  if (idA < 0) idX1 = -idX1;
  int          idX2 = 10* (abs(idB) / 10) + 9900000;
  if (idB < 0) idX2 = -idX2;
  setId( idA, idB, idX1, idX2);
  setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);

}

//==========================================================================

// Sigma0AB2AXB class.
// Cross section for central scattering A B -> A X B.

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma0AB2AXB::setIdColAcol() {
  
  // Central diffractive state represented by rho_diffr0. Colours trivial.
  int idX = 9900110;
  setId( idA, idB, idA, idB,idX);
  setColAcol( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
  
}

//==========================================================================

// Sigma2gg2gg class.
// Cross section for g g -> g g.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gg2gg::sigmaKin() {

  // Calculate kinematics dependence.
  sigTS  = (9./4.) * (tH2 / sH2 + 2. * tH / sH + 3. + 2. * sH / tH
           + sH2 / tH2);
  sigUS  = (9./4.) * (uH2 / sH2 + 2. * uH / sH + 3. + 2. * sH / uH
           + sH2 / uH2);
  sigTU  = (9./4.) * (tH2 / uH2 + 2. * tH / uH + 3. + 2. * uH / tH
           + uH2 / tH2);
  sigSum = sigTS + sigUS + sigTU;

  // Answer contains factor 1/2 from identical gluons.
  sigma  = (M_PI / sH2) * pow2(alpS) * 0.5 * sigSum;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2gg::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, 21, 21);

  // Three colour flow topologies, each with two orientations.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 4, 4, 3);
  else if (sigRand < sigTS + sigUS)
                       setColAcol( 1, 2, 3, 1, 3, 4, 4, 2);
  else                 setColAcol( 1, 2, 3, 4, 1, 4, 3, 2);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2gg2qqbar class.
// Cross section for g g -> q qbar (q = u, d, s, i.e. almost massless).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2qqbar::initProc() {

  // Read number of quarks to be considered in massless approximation.
  nQuarkNew       = settingsPtr->mode("HardQCD:nQuarkNew");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gg2qqbar::sigmaKin() {

  // Pick new flavour.
  idNew = 1 + int( nQuarkNew * rndmPtr->flat() );
  mNew  = particleDataPtr->m0(idNew);
  m2New = mNew*mNew;
  
  // Calculate kinematics dependence.
  sigTS = 0.;
  sigUS = 0.;
  if (sH > 4. * m2New) {
    sigTS = (1./6.) * uH / tH - (3./8.) * uH2 / sH2;
    sigUS = (1./6.) * tH / uH - (3./8.) * tH2 / sH2;
  }
  sigSum = sigTS + sigUS;

  // Answer is proportional to number of outgoing flavours.
  sigma  = (M_PI / sH2) * pow2(alpS) * nQuarkNew * sigSum;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2qqbar::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idNew, -idNew);

  // Two colour flow topologies.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3);
  else                 setColAcol( 1, 2, 3, 1, 3, 0, 0, 2);

}

//==========================================================================

// Sigma2qg2qg class.
// Cross section for q g -> q g.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qg2qg::sigmaKin() {

  // Calculate kinematics dependence.
  sigTS  = uH2 / tH2 - (4./9.) * uH / sH;
  sigTU  = sH2 / tH2 - (4./9.) * sH / uH;
  sigSum = sigTS + sigTU;

  // Answer.
  sigma  = (M_PI / sH2) * pow2(alpS) * sigSum;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2qg::setIdColAcol() {

  // Outgoing = incoming flavours.
  setId( id1, id2, id1, id2);

  // Two colour flow topologies. Swap if first is gluon, or when antiquark.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 0, 2, 1, 3, 0, 2, 3);
  else                 setColAcol( 1, 0, 2, 3, 2, 0, 1, 3);
  if (id1 == 21) swapCol1234();
  if (id1 < 0 || id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qq2qq class.
// Cross section for q qbar' -> q qbar' or q q' -> q q'
// (qbar qbar' -> qbar qbar'), q' may be same as q.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qq2qq::sigmaKin() {

  // Calculate kinematics dependence for different terms.
  sigT   = (4./9.) * (sH2 + uH2) / tH2;
  sigU   = (4./9.) * (sH2 + tH2) / uH2;
  sigTU  = - (8./27.) * sH2 / (tH * uH);
  sigST  = - (8./27.) * uH2 / (sH * tH);

}

//--------------------------------------------------------------------------


// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qq2qq::sigmaHat() {

  // Combine cross section terms; factor 1/2 when identical quarks.
  if      (id2 ==  id1) sigSum = 0.5 * (sigT + sigU + sigTU);
  else if (id2 == -id1) sigSum = sigT + sigST;
  else                      sigSum = sigT;

  // Answer.
  return (M_PI/sH2) * pow2(alpS) * sigSum;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qq2qq::setIdColAcol() {

  // Outgoing = incoming flavours.
  setId( id1, id2, id1, id2);

  // Colour flow topologies. Swap when antiquarks.
  if (id1 * id2 > 0)  setColAcol( 1, 0, 2, 0, 2, 0, 1, 0);
  else                setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  if (id2 == id1 && (sigT + sigU) * rndmPtr->flat() > sigT)
                      setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2gg class.
// Cross section for q qbar -> g g.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qqbar2gg::sigmaKin() {

  // Calculate kinematics dependence.
  sigTS  = (32./27.) * uH / tH - (8./3.) * uH2 / sH2;
  sigUS  = (32./27.) * tH / uH - (8./3.) * tH2 / sH2;
  sigSum = sigTS + sigUS;

  // Answer contains factor 1/2 from identical gluons.
  sigma  = (M_PI / sH2) * pow2(alpS) * 0.5 * sigSum;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2gg::setIdColAcol() {

  // Outgoing flavours trivial.
  setId( id1, id2, 21, 21);

  // Two colour flow topologies. Swap if first is antiquark.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 0, 0, 2, 1, 3, 3, 2);
  else                 setColAcol( 1, 0, 0, 2, 3, 2, 1, 3);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2qqbarNew class.
// Cross section q qbar -> q' qbar'.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2qqbarNew::initProc() {

  // Read number of quarks to be considered in massless approximation.
  nQuarkNew       = settingsPtr->mode("HardQCD:nQuarkNew");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qqbar2qqbarNew::sigmaKin() {

  // Pick new flavour.
  idNew = 1 + int( nQuarkNew * rndmPtr->flat() );
  mNew  = particleDataPtr->m0(idNew);
  m2New = mNew*mNew;

  // Calculate kinematics dependence.
  sigS                      = 0.;
  if (sH > 4. * m2New) sigS = (4./9.) * (tH2 + uH2) / sH2;

  // Answer is proportional to number of outgoing flavours.
  sigma = (M_PI / sH2) * pow2(alpS) * nQuarkNew * sigS;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2qqbarNew::setIdColAcol() {

  // Set outgoing flavours ones.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2QQbar class.
// Cross section g g -> Q Qbar (Q = c, b or t).
// Only provided for fixed m3 = m4 so do some gymnastics:
// i) s34Avg picked so that beta34 same when s3, s4 -> s34Avg.
// ii) tHQ = tH - mQ^2 = -0.5 sH (1 - beta34 cos(thetaH)) for m3 = m4 = mQ,
//     but tH - uH = sH beta34 cos(thetaH) also for m3 != m4, so use
//     tH, uH selected for m3 != m4 to derive tHQ, uHQ valid for m3 = m4.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2QQbar::initProc() {

  // Process name.
  nameSave                 = "g g -> Q Qbar";
  if (idNew == 4) nameSave = "g g -> c cbar";
  if (idNew == 5) nameSave = "g g -> b bbar";
  if (idNew == 6) nameSave = "g g -> t tbar";
  if (idNew == 7) nameSave = "g g -> b' b'bar";
  if (idNew == 8) nameSave = "g g -> t' t'bar";

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gg2QQbar::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  double s34Avg = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  double tHQ    = -0.5 * (sH - tH + uH);
  double uHQ    = -0.5 * (sH + tH - uH);
  double tHQ2   = tHQ * tHQ;
  double uHQ2   = uHQ * uHQ;

  // Calculate kinematics dependence.
  double tumHQ = tHQ * uHQ - s34Avg * sH;
  sigTS = ( uHQ / tHQ - 2.25 * uHQ2 / sH2 + 4.5 * s34Avg * tumHQ
    / ( sH * tHQ2) + 0.5 * s34Avg * (tHQ + s34Avg) / tHQ2
    - s34Avg*s34Avg / (sH * tHQ) ) / 6.;
  sigUS = ( tHQ / uHQ - 2.25 * tHQ2 / sH2 + 4.5 * s34Avg * tumHQ
    / ( sH * uHQ2) + 0.5 * s34Avg * (uHQ + s34Avg) / uHQ2
    - s34Avg*s34Avg / (sH * uHQ) ) / 6.;
  sigSum = sigTS + sigUS;

  // Answer.
  sigma = (M_PI / sH2) * pow2(alpS) * sigSum * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2QQbar::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idNew, -idNew);

  // Two colour flow topologies.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3);
  else                 setColAcol( 1, 2, 3, 1, 3, 0, 0, 2);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of W in top decay.

double Sigma2gg2QQbar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // For top decay hand over to standard routine, else done.
  if (idNew == 6 && process[process[iResBeg].mother1()].idAbs() == 6)
       return weightTopDecay( process, iResBeg, iResEnd);
  else return 1.;

}

//==========================================================================

// Sigma2qqbar2QQbar class.
// Cross section q qbar -> Q Qbar (Q = c, b or t).
// Only provided for fixed m3 = m4 so do some gymnastics:
// i) s34Avg picked so that beta34 same when s3, s4 -> s34Avg.
// ii) tHQ = tH - mQ^2 = -0.5 sH (1 - beta34 cos(thetaH)) for m3 = m4 = mQ,
//     but tH - uH = sH beta34 cos(thetaH) also for m3 != m4, so use
//     tH, uH selected for m3 != m4 to derive tHQ, uHQ valid for m3 = m4.

//--------------------------------------------------------------------------

// Initialize process, especially parton-flux object.
  
void Sigma2qqbar2QQbar::initProc() {

  // Process name.
  nameSave                 = "q qbar -> Q Qbar";
  if (idNew == 4) nameSave = "q qbar -> c cbar";
  if (idNew == 5) nameSave = "q qbar -> b bbar";
  if (idNew == 6) nameSave = "q qbar -> t tbar";
  if (idNew == 7) nameSave = "q qbar -> b' b'bar";
  if (idNew == 8) nameSave = "q qbar -> t' t'bar";

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qqbar2QQbar::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  double s34Avg = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  double tHQ    = -0.5 * (sH - tH + uH);
  double uHQ    = -0.5 * (sH + tH - uH);
  double tHQ2   = tHQ * tHQ;
  double uHQ2   = uHQ * uHQ;

  // Calculate kinematics dependence.
  double sigS = (4./9.) * ((tHQ2 + uHQ2) / sH2 + 2. * s34Avg / sH);

  // Answer.
  sigma = (M_PI / sH2) * pow2(alpS) * sigS * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2QQbar::setIdColAcol() {

  // Set outgoing flavours.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of W in top decay.

double Sigma2qqbar2QQbar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // For top decay hand over to standard routine, else done.
  if (idNew == 6 && process[process[iResBeg].mother1()].idAbs() == 6)
       return weightTopDecay( process, iResBeg, iResEnd);
  else return 1.;

}


//==========================================================================

// Sigma3gg2ggg class.
// Cross section for g g -> g g g.

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence.

void Sigma3gg2ggg::sigmaKin() {

  // Calculate all four-vector products.
  Vec4 p1cm( 0., 0.,  0.5 * mH, 0.5 * mH);
  Vec4 p2cm( 0., 0., -0.5 * mH, 0.5 * mH);
  pp[1][2] = p1cm * p2cm;
  pp[1][3] = p1cm * p3cm;
  pp[1][4] = p1cm * p4cm;
  pp[1][5] = p1cm * p5cm;
  pp[2][3] = p2cm * p3cm;
  pp[2][4] = p2cm * p4cm;
  pp[2][5] = p2cm * p5cm;
  pp[3][4] = p3cm * p4cm;
  pp[3][5] = p3cm * p5cm;
  pp[4][5] = p4cm * p5cm;
  for (int i = 1; i < 5; ++i)
    for (int j = i + 1; j < 6; ++j) pp[j][i] = pp[i][j];
  
  // Cross section, in three main sections.
  double num1 = cycle(1,2,3,4,5) + cycle(1,2,3,5,4) + cycle(1,2,4,3,5)
              + cycle(1,2,4,5,3) + cycle(1,2,5,3,4) + cycle(1,2,5,4,3)
              + cycle(1,3,2,4,5) + cycle(1,3,2,5,4) + cycle(1,3,4,2,5)
              + cycle(1,3,5,2,4) + cycle(1,4,2,3,5) + cycle(1,4,3,2,5);
  double num2 = pow4(pp[1][2]) + pow4(pp[1][3]) + pow4(pp[1][4])
              + pow4(pp[1][5]) + pow4(pp[2][3]) + pow4(pp[2][4])
              + pow4(pp[2][5]) + pow4(pp[3][4]) + pow4(pp[3][5])
              + pow4(pp[4][5]);
  double den  = pp[1][2] * pp[1][3] * pp[1][4] * pp[1][5] * pp[2][3]
              * pp[2][4] * pp[2][5] * pp[3][4] * pp[3][5] * pp[4][5];

  // Answer has a factor 6 due to identical gluons
  // This is cancelled by phase space factor (1 / 6)
  sigma = pow3(4. * M_PI * alpS) * (27./16.) * num1 * num2 / den;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3gg2ggg::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, 21, 21, 21);

  // Three colour flow topologies, each with two orientations.
  /*
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 4, 4, 3);
  else if (sigRand < sigTS + sigUS)
                       setColAcol( 1, 2, 3, 1, 3, 4, 4, 2);
  else                 setColAcol( 1, 2, 3, 4, 1, 4, 3, 2);
  if (rndmPtr->flat() > 0.5) swapColAcol();
  */

  // Temporary solution.
  setColAcol( 1, 2, 2, 3, 1, 4, 4, 5, 5, 3);
}


//==========================================================================

// Sigma3qqbar2ggg class.
// Cross section for q qbar -> g g g.

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence.
void Sigma3qqbar2ggg::sigmaKin() {

  // Setup four-vectors
  pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
  pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
  pCM[2] = p3cm;
  pCM[3] = p4cm;
  pCM[4] = p5cm;

  // Calculate |M|^2
  // Answer has a factor 6 due to identical gluons,
  // which is cancelled by phase space factor (1 / 6)
  sigma = m2Calc();

}

//--------------------------------------------------------------------------

// |M|^2

inline double Sigma3qqbar2ggg::m2Calc() {

  // Calculate four-products
  double sHnow  = (pCM[0] + pCM[1]).m2Calc();
  double sHhalf = sH / 2.;

  // qbar (p+) + q(p-) -> g(k1) g(k2) g(k3)
  // a_i = (p+ . ki), i = 1, 2, 3
  // b_i = (p- . ki), i = 1, 2, 3
  a[0] = pCM[0] * pCM[2];
  a[1] = pCM[0] * pCM[3];
  a[2] = pCM[0] * pCM[4];
  b[0] = pCM[1] * pCM[2];
  b[1] = pCM[1] * pCM[3];
  b[2] = pCM[1] * pCM[4];

  pp[0][1] = pCM[2] * pCM[3];
  pp[1][2] = pCM[3] * pCM[4];
  pp[2][0] = pCM[4] * pCM[2];

  // ab[i][j] = a_i * b_j + a_j * b_i
  ab[0][1] = a[0] * b[1] + a[1] * b[0];
  ab[1][2] = a[1] * b[2] + a[2] * b[1];
  ab[2][0] = a[2] * b[0] + a[0] * b[2];

  // Cross section
  double num1 = a[0] * b[0] * (a[0] * a[0] + b[0] * b[0]) +
                a[1] * b[1] * (a[1] * a[1] + b[1] * b[1]) +
                a[2] * b[2] * (a[2] * a[2] + b[2] * b[2]);
  double den1 = a[0] * a[1] * a[2] * b[0] * b[1] * b[2];
  double num2 = - ( ab[0][1] / pp[0][1] )
                - ( ab[1][2] / pp[1][2] )
                - ( ab[2][0] / pp[2][0] );
  double num3 = a[2] * b[2] * ab[0][1] / (pp[1][2] * pp[2][0] ) +
                a[0] * b[0] * ab[1][2] / (pp[2][0] * pp[0][1] ) +
                a[1] * b[1] * ab[2][0] / (pp[0][1] * pp[1][2] );

  // Final answer
  return  pow3(4. * M_PI * alpS) * (8. / 324.) * (num1 / den1) *
          ( sHhalf + 9. * (sHhalf + num2) + (2. * 81. / sHnow) * num3 );

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qqbar2ggg::setIdColAcol(){

  // Flavours are trivial.
  setId( id1, id2, 21, 21, 21);

  // Temporary solution.
  setColAcol( 1, 0, 0, 2, 1, 3, 3, 4, 4, 2);
  if (id1 < 0) swapColAcol();
}

//--------------------------------------------------------------------------

// Map a final state configuration

inline void Sigma3qqbar2ggg::mapFinal() {
  switch (config) {
  case 0: pCM[2] = p3cm; pCM[3] = p4cm; pCM[4] = p5cm; break;
  case 1: pCM[2] = p3cm; pCM[3] = p5cm; pCM[4] = p4cm; break;
  case 2: pCM[2] = p4cm; pCM[3] = p3cm; pCM[4] = p5cm; break;
  case 3: pCM[2] = p4cm; pCM[3] = p5cm; pCM[4] = p3cm; break;
  case 4: pCM[2] = p5cm; pCM[3] = p3cm; pCM[4] = p4cm; break;
  case 5: pCM[2] = p5cm; pCM[3] = p4cm; pCM[4] = p3cm; break;
  }
}

//==========================================================================

// Sigma3qg2qgg class.
// Cross section for q g -> q g g.
// Crossed relation from q qbar -> g g g:
//   qbar(p+) q(p-) -> g(k1) g(k2) g(k3)

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence
// Note: two different contributions from gq and qg incoming

void Sigma3qg2qgg::sigmaKin() {

  // Pick a final state configuration
  pickFinal();

  // gq and qg incoming
  for (int i = 0; i < 2; i++) {

    // Map incoming four-vectors to p+, p-, k1, k2, k3
    pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
    pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
    mapFinal();

    // Crossing
    swap(pCM[i], pCM[2]);

    // |M|^2
    // XXX - Extra factor of (3) from selecting a final state
    // configuration (already a factor of 2 in the original
    // answer due to two identical final state gluons)???
    // Extra factor of (3 / 8) as average over incoming gluon
    sigma[i] = 3. * (3. / 8.) * m2Calc();

  } // for (int i = 0; i < 2; i++)

}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - incoming flavour dependence
// Pick from two configurations calculated previously

double Sigma3qg2qgg::sigmaHat() {
  // gq or qg incoming
  return (id1 == 21) ? sigma[0] : sigma[1];
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qg2qgg::setIdColAcol(){
  // Outgoing flavours; only need to know where the quark is
  int qIdx    = config / 2;
  int idTmp[3] = { 21, 21, 21 };
  idTmp[qIdx]  = (id1 == 21) ? id2 : id1;
  setId( id1, id2, idTmp[0], idTmp[1], idTmp[2]);

  // Temporary solution
  if      (qIdx == 0) setColAcol(1, 0, 2, 1, 4, 0, 3, 4, 2, 3);
  else if (qIdx == 1) setColAcol(1, 0, 2, 1, 3, 4, 4, 0, 2, 3);
  else                setColAcol(1, 0, 2, 1, 3, 4, 2, 3, 4, 0);
  // gq or qg incoming
  if (id1 == 21) {
    swap( colSave[1], colSave[2]);
    swap(acolSave[1], acolSave[2]);
  }
  // qbar rather than q incoming
  if (id1 < 0 || id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma3gg2qqbarg class.
// Cross section for g g -> q qbar g
// Crossed relation from q qbar -> g g g

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3gg2qqbarg::initProc() {

  // Read number of quarks to be considered in massless approximation.
  nQuarkNew       = settingsPtr->mode("HardQCD:nQuarkNew");

}

//--------------------------------------------------------------------------
 
// Evaluate |M|^2 - no incoming flavour dependence.

void Sigma3gg2qqbarg::sigmaKin() {

  // Incoming four-vectors
  pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
  pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);

  // Pick and map a final state configuration
  pickFinal();
  mapFinal();

  // Crossing
  swap(pCM[0], pCM[2]);
  swap(pCM[1], pCM[3]);

  // |M|^2
  // Extra factor of (6.) from picking a final state configuration
  // Extra factor of nQuarkNew
  // Extra factor of (3. / 8.) ^ 2 as averaging over two incoming gluons
  sigma = 6. * nQuarkNew * (3. / 8.) * (3. / 8.) * m2Calc();

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3gg2qqbarg::setIdColAcol(){

  // Pick new flavour
  int idNew = 1 + int( nQuarkNew * rndmPtr->flat() );

  // Outgoing flavours; easiest just to map by hand
  switch (config) {
  case 0: id3 =  idNew; id4 = -idNew; id5 =  21;    break;
  case 1: id3 =  idNew; id4 =  21;    id5 = -idNew; break;
  case 2: id3 = -idNew; id4 =  idNew; id5 =  21;    break;
  case 3: id3 =  21;    id4 =  idNew; id5 = -idNew; break;
  case 4: id3 = -idNew; id4 =  21;    id5 =  idNew; break;
  case 5: id3 =  21;    id4 = -idNew; id5 =  idNew; break;
  }
  setId(id1, id2, id3, id4, id5);

  // Temporary solution
  switch (config) {
  case 0: setColAcol( 1, 2, 2, 3, 4, 0, 0, 3, 1, 4 ); break;
  case 1: setColAcol( 1, 2, 2, 3, 4, 0, 1, 4, 0, 3 ); break;
  case 2: setColAcol( 1, 2, 2, 3, 0, 3, 4, 0, 1, 4 ); break;
  case 3: setColAcol( 1, 2, 2, 3, 1, 4, 4, 0, 0, 3 ); break;
  case 4: setColAcol( 1, 2, 2, 3, 0, 3, 1, 4, 4, 0 ); break;
  case 5: setColAcol( 1, 2, 2, 3, 1, 4, 0, 3, 4, 0 ); break;
  }
  
}

//==========================================================================

// Sigma3qq2qqgDiff class.
// Cross section for q q' -> q q' g, q != q'

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence

void Sigma3qq2qqgDiff::sigmaKin() {

  // q1(p+) q2(p-) -> q1(q+) q2(q-) g(k)

  // Incoming four-vectors
  pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
  pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
  // Pick and map a final state configuration
  pickFinal();
  mapFinal();

  // |M|^2
  // Extra factor of (6.) from picking a final state configuration
  sigma = 6. * m2Calc();
}

//--------------------------------------------------------------------------

// |M|^2

inline double Sigma3qq2qqgDiff::m2Calc() {

  // Four-products
  s  = (pCM[0] + pCM[1]).m2Calc();
  t  = (pCM[0] - pCM[2]).m2Calc();
  u  = (pCM[0] - pCM[3]).m2Calc();
  up = (pCM[1] - pCM[2]).m2Calc();
  sp = (pCM[2] + pCM[3]).m2Calc();
  tp = (pCM[1] - pCM[3]).m2Calc();

  // |M|^2
  double num1 = (s * s + sp * sp + u * u + up * up) / (t * tp);
  double den1 = (pCM[0] * pCM[4]) * (pCM[1] * pCM[4]) *
                (pCM[2] * pCM[4]) * (pCM[3] * pCM[4]);
  double num2 = (u + up) * (s * sp + t * tp - u * up) +
                u * (s * t + sp * tp) + up * (s * tp + sp * t);
  double num3 = (s + sp) * (s * sp - t * tp - u * up) +
                2. * t * tp * (u + up) + 2. * u * up * (t + tp);
    
  // (N^2 - 1)^2 / 4N^3 = 16. / 27.
  // (N^2 - 1)   / 4N^3 =  2. / 27.
  return (1. / 8.) * pow3(4. * M_PI * alpS) * num1 / den1 *
         ( (16. / 27.) * num2 - (2. / 27.) * num3 );

}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - incoming flavour dependence

double Sigma3qq2qqgDiff::sigmaHat() {
  // Different incoming flavours only
  if (abs(id1) == abs(id2)) return 0.;
  return sigma;
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qq2qqgDiff::setIdColAcol(){
  
  // Outgoing flavours; easiest just to map by hand
  switch (config) {
  case 0: id3 = id1; id4 = id2; id5 = 21;  break;
  case 1: id3 = id1; id4 = 21;  id5 = id2; break;
  case 2: id3 = id2; id4 = id1; id5 = 21;  break;
  case 3: id3 = 21;  id4 = id1; id5 = id2; break;
  case 4: id3 = id2; id4 = 21;  id5 = id1; break;
  case 5: id3 = 21;  id4 = id2; id5 = id1; break;
  }
  setId(id1, id2, id3, id4, id5);

  // Temporary solution; id1 and id2 can be q/qbar independently
  int cols[5][2];
  if (id1 > 0) {
    cols[0][0] = 1; cols[0][1] = 0;
    cols[2][0] = 1; cols[2][1] = 0;
  } else {
    cols[0][0] = 0; cols[0][1] = 1;
    cols[2][0] = 0; cols[2][1] = 1;
  }
  if (id2 > 0) {
    cols[1][0] = 2; cols[1][1] = 0;
    cols[3][0] = 3; cols[3][1] = 0;
    cols[4][0] = 2; cols[4][1] = 3;
  } else {
    cols[1][0] = 0; cols[1][1] = 2;
    cols[3][0] = 0; cols[3][1] = 3;
    cols[4][0] = 3; cols[4][1] = 2;
  }
  // Map correct final state configuration
  int i3 = 0, i4 = 0, i5 = 0;
  switch (config) {
  case 0: i3 = 2; i4 = 3; i5 = 4; break;
  case 1: i3 = 2; i4 = 4; i5 = 3; break;
  case 2: i3 = 3; i4 = 2; i5 = 4; break;
  case 3: i3 = 4; i4 = 2; i5 = 3; break;
  case 4: i3 = 3; i4 = 4; i5 = 2; break;
  case 5: i3 = 4; i4 = 3; i5 = 2; break;
  }
  // Put colours in place
  setColAcol(cols[0][0],  cols[0][1],  cols[1][0],  cols[1][1],
             cols[i3][0], cols[i3][1], cols[i4][0], cols[i4][1],
             cols[i5][0], cols[i5][1]);

}

//--------------------------------------------------------------------------

// Map a final state configuration

inline void Sigma3qq2qqgDiff::mapFinal() {
  switch (config) {
  case 0: pCM[2] = p3cm; pCM[3] = p4cm; pCM[4] = p5cm; break;
  case 1: pCM[2] = p3cm; pCM[3] = p5cm; pCM[4] = p4cm; break;
  case 2: pCM[2] = p4cm; pCM[3] = p3cm; pCM[4] = p5cm; break;
  case 3: pCM[2] = p4cm; pCM[3] = p5cm; pCM[4] = p3cm; break;
  case 4: pCM[2] = p5cm; pCM[3] = p3cm; pCM[4] = p4cm; break;
  case 5: pCM[2] = p5cm; pCM[3] = p4cm; pCM[4] = p3cm; break;
  }
}


//==========================================================================

// Sigma3qqbar2qqbargDiff
// Cross section for q qbar -> q' qbar' g
// Crossed relation from q q' -> q q' g, q != q'

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3qqbar2qqbargDiff::initProc() {

  // Read number of quarks to be considered in massless approximation.
  nQuarkNew       = settingsPtr->mode("HardQCD:nQuarkNew");

}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence.

void Sigma3qqbar2qqbargDiff::sigmaKin() {
  // Overall 6 possibilities for final state ordering
  // To keep symmetry between final states, always map to:
  //  1) q1(p+)    qbar1(p-)  -> qbar2(q+)  q2(q-)     g(k)
  //  2) qbar1(p+) q1(p-)     -> q2(q+)     qbar2(q-)  g(k)
  // Crossing p- and q+ gives:
  //  1) q1(p+)    q2(-q+)    -> q1(-p-)    q2(q-)     g(k)
  //  2) qbar1(p+) qbar2(-q+) -> qbar1(-p-) qbar2(q-)  g(k)

  // Incoming four-vectors
  pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
  pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
  // Pick and map a final state configuration
  pickFinal();
  mapFinal();

  // Crossing
  swap(pCM[1], pCM[2]);
  pCM[1] = -pCM[1];
  pCM[2] = -pCM[2];

  // |M|^2
  // Extra factor of (6.) from picking a final state configuration
  // Extra factor of (nQuarkNew - 1) from new q/qbar pairs
  // XXX - Extra factor of (2.) from second possible crossing???
  sigma = 6. * (nQuarkNew - 1) * 2. * m2Calc();
  
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qqbar2qqbargDiff::setIdColAcol(){

  // Pick new q qbar flavour with incoming flavour disallowed
  int idNew = 1 + int( (nQuarkNew - 1) * rndmPtr->flat() );
  if (idNew >= abs(id1)) ++idNew;
  // For qbar q incoming, q+ is always mapped to q2
  // For q qbar incoming, q+ is always mapped to qbar2
  if (id1 > 0) idNew = -idNew;

  // Outgoing flavours; easiest just to map by hand
  switch (config) {
  case 0: id3 =  idNew; id4 = -idNew; id5 =  21;    break;
  case 1: id3 =  idNew; id4 =  21;    id5 = -idNew; break;
  case 2: id3 = -idNew; id4 =  idNew; id5 =  21;    break;
  case 3: id3 =  21;    id4 =  idNew; id5 = -idNew; break;
  case 4: id3 = -idNew; id4 =  21;    id5 =  idNew; break;
  case 5: id3 =  21;    id4 = -idNew; id5 =  idNew; break;
  }
  setId(id1, id2, id3, id4, id5);

  // Temporary solution; start with q qbar -> qbar q g
  int cols[5][2];
  cols[0][0] = 1; cols[0][1] = 0;
  cols[1][0] = 0; cols[1][1] = 2;
  cols[2][0] = 0; cols[2][1] = 3;
  cols[3][0] = 1; cols[3][1] = 0;
  cols[4][0] = 3; cols[4][1] = 2;
  // Map into correct place
  int i3 = 0, i4 = 0, i5 = 0;
  switch (config) {
  case 0: i3 = 2; i4 = 3; i5 = 4; break;
  case 1: i3 = 2; i4 = 4; i5 = 3; break;
  case 2: i3 = 3; i4 = 2; i5 = 4; break;
  case 3: i3 = 4; i4 = 2; i5 = 3; break;
  case 4: i3 = 3; i4 = 4; i5 = 2; break;
  case 5: i3 = 4; i4 = 3; i5 = 2; break;
  }
  setColAcol(cols[0][0], cols[0][1], cols[1][0], cols[1][1],
             cols[i3][0], cols[i3][1], cols[i4][0], cols[i4][1],
             cols[i5][0], cols[i5][1]);
  // Swap for qbar q incoming
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma3qg2qqqbarDiff class.
// Cross section for q g -> q q' qbar'
// Crossed relation from q q' -> q q' g, q != q'
//   q1(p+) q2(p-) -> q1(q+) q2(q-) g(k)

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3qg2qqqbarDiff::initProc() {

  // Read number of quarks to be considered in massless approximation.
  nQuarkNew       = settingsPtr->mode("HardQCD:nQuarkNew");

}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence

void Sigma3qg2qqqbarDiff::sigmaKin() {

  // Pick a final state configuration
  pickFinal();

  // gq or qg incoming
  for (int i = 0; i < 2; i++) {

    // Map incoming four-vectors
    pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
    pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
    mapFinal();

    // Crossing (note extra -ve sign in total sigma)
    swap(pCM[i], pCM[4]);
    pCM[i] = -pCM[i];
    pCM[4] = -pCM[4];

    // |M|^2
    // Extra factor of (6) from picking a final state configuration
    // Extra factor of (3 / 8) as averaging over incoming gluon
    // Extra factor of (nQuarkNew - 1) due to new q/qbar pair
    sigma[i] = -6. * (3. / 8.) * (nQuarkNew - 1) * m2Calc();

  }
  
}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - incoming flavour dependence

double Sigma3qg2qqqbarDiff::sigmaHat() {
  // gq or qg incoming
  return (id1 == 21) ? sigma[0] : sigma[1];
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qg2qqqbarDiff::setIdColAcol(){
  // Pick new q qbar flavour with incoming flavour disallowed
  int sigmaIdx = (id1 == 21) ? 0 : 1;
  int idIn     = (id1 == 21) ? id2 : id1;
  int idNew    = 1 + int( (nQuarkNew - 1) * rndmPtr->flat() );
  if (idNew >= abs(idIn)) ++idNew;

  // qbar instead of q incoming means swap outgoing q/qbar pair
  int id3Tmp = idIn, id4Tmp = idNew, id5Tmp = -idNew;
  if (idIn < 0)  swap(id4Tmp, id5Tmp);
  // If g q incoming rather than q g, idIn and idNew
  // should be exchanged (see sigmaKin)
  if (sigmaIdx == 0) swap(id3Tmp, id4Tmp);
  // Outgoing flavours; now just map as if q g incoming
  switch (config) {
  case 0: id3 = id3Tmp; id4 = id4Tmp; id5 = id5Tmp; break;
  case 1: id3 = id3Tmp; id4 = id5Tmp; id5 = id4Tmp; break;
  case 2: id3 = id4Tmp; id4 = id3Tmp; id5 = id5Tmp; break;
  case 3: id3 = id5Tmp; id4 = id3Tmp; id5 = id4Tmp; break;
  case 4: id3 = id4Tmp; id4 = id5Tmp; id5 = id3Tmp; break;
  case 5: id3 = id5Tmp; id4 = id4Tmp; id5 = id3Tmp; break;
  }
  setId(id1, id2, id3, id4, id5);

  // Temporary solution; start with either
  // g q1    -> q1    q2 qbar2
  // g qbar1 -> qbar1 qbar2 q2
  int cols[5][2];
  cols[0][0] = 1; cols[0][1] = 2;
  if (idIn > 0) {
    cols[1][0] = 3; cols[1][1] = 0;
    cols[2][0] = 1; cols[2][1] = 0;
    cols[3][0] = 3; cols[3][1] = 0;
    cols[4][0] = 0; cols[4][1] = 2;
  } else {
    cols[1][0] = 0; cols[1][1] = 3;
    cols[2][0] = 0; cols[2][1] = 2;
    cols[3][0] = 0; cols[3][1] = 3;
    cols[4][0] = 1; cols[4][1] = 0;
  }
  // Swap incoming if q/qbar g instead
  if (id2 == 21) {
    swap(cols[0][0], cols[1][0]);
    swap(cols[0][1], cols[1][1]);
  }
  // Map final state
  int i3 = 0, i4 = 0, i5 = 0;
  if (sigmaIdx == 0) {
    switch (config) {
    case 0: i3 = 3; i4 = 2; i5 = 4; break;
    case 1: i3 = 3; i4 = 4; i5 = 2; break;
    case 2: i3 = 2; i4 = 3; i5 = 4; break;
    case 3: i3 = 4; i4 = 3; i5 = 2; break;
    case 4: i3 = 2; i4 = 4; i5 = 3; break;
    case 5: i3 = 4; i4 = 2; i5 = 3; break;
    }
  } else {
    switch (config) {
    case 0: i3 = 2; i4 = 3; i5 = 4; break;
    case 1: i3 = 2; i4 = 4; i5 = 3; break;
    case 2: i3 = 3; i4 = 2; i5 = 4; break;
    case 3: i3 = 4; i4 = 2; i5 = 3; break;
    case 4: i3 = 3; i4 = 4; i5 = 2; break;
    case 5: i3 = 4; i4 = 3; i5 = 2; break;
    }
  }
  setColAcol(cols[0][0],  cols[0][1],  cols[1][0],  cols[1][1],
             cols[i3][0], cols[i3][1], cols[i4][0], cols[i4][1],
             cols[i5][0], cols[i5][1]);
}

//==========================================================================

// Sigma3qq2qqgSame class.
// Cross section for q q' -> q q' g, q == q'.

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence

void Sigma3qq2qqgSame::sigmaKin() {
  // q1(p+) q2(p-) -> q1(q+) q2(q-) g(k)

  // Incoming four-vectors
  pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
  pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
  // Pick/map a final state configuration
  pickFinal();
  mapFinal();

  // |M|^2
  // Extra factor (3) from picking final state configuration
  // (original answer already has a factor 2 from identical
  // quarks in the final state)
  sigma = 3. * m2Calc();

}

//--------------------------------------------------------------------------

// |M|^2

inline double Sigma3qq2qqgSame::m2Calc() {

  // Four-products
  s  = (pCM[0] + pCM[1]).m2Calc();
  t  = (pCM[0] - pCM[2]).m2Calc();
  u  = (pCM[0] - pCM[3]).m2Calc();
  sp = (pCM[2] + pCM[3]).m2Calc();
  tp = (pCM[1] - pCM[3]).m2Calc();
  up = (pCM[1] - pCM[2]).m2Calc();

  // |M|^2
  ssp  = s * sp;
  ttp  = t * tp;
  uup  = u * up;
  s_sp = s + sp;
  t_tp = t + tp;
  u_up = u + up;

  double den1 = (pCM[0] * pCM[4]) * (pCM[1] * pCM[4]) *
                (pCM[2] * pCM[4]) * (pCM[3] * pCM[4]);

  double fac1 = s * (t * u + tp * up) + sp * (t * up + tp * u);
  double fac2 = ssp - ttp - uup;
  double fac3 = 2. * (ttp * u_up + uup * t_tp);

  double num1 = u_up * (ssp + ttp - uup) + fac1;
  double num2 = s_sp * fac2 + fac3;
  double num3 = (s * s + sp * sp + u * u + up * up) / (t * tp);

  double num4 = t_tp * (ssp - ttp + uup) + fac1;
  double num5 = (s * s + sp * sp + t * t + tp * tp) / (u * up);

  double num6 = s_sp * fac2 - fac3 - 2. * fac1;
  double num7 = (s * s + sp * sp) * fac2;
  double den7 = (ttp * uup);
  
  // C1 = (N^2 - 1)^2 / 4N^3 = 16. / 27.
  // C2 = (N^2 - 1)   / 4N^3 =  2. / 27.
  // C3 = (N^4 - 1)   / 8N^4 = 10. / 81.
  // C4 = (N^2 - 1)^2 / 8N^4 =  8. / 81.
  return (1. / 8.) * pow3(4. * M_PI * alpS) *
         ( ( (16. / 27.) * num1 - (2. / 27.) * num2 ) * num3 +
         ( (16. / 27.) * num4 - (2. / 27.) * num2 ) * num5 +
         ( (10. / 81.) * num2 + (8. / 81.) * num6 ) *
         ( num7 / den7 ) ) / den1;

}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - incoming flavour dependence

double Sigma3qq2qqgSame::sigmaHat() {
  // q q / qbar qbar incoming states only
  if (id1 != id2) return 0.;
  return sigma;
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qq2qqgSame::setIdColAcol(){

  // Need to know where the gluon was mapped (pCM[4])
  int gIdx = 0;
  switch (config) {
  case 3: case 5: gIdx = 0; break;
  case 1: case 4: gIdx = 1; break;
  case 0: case 2: gIdx = 2; break;
  }

  // Outgoing flavours
  int idTmp[3] = { id1, id1, id1 };
  idTmp[gIdx]  = 21;
  setId(id1, id2, idTmp[0], idTmp[1], idTmp[2]);

  // Temporary solution; start with q q -> q q g
  setColAcol(1, 0, 2, 0, 1, 0, 3, 0, 2, 3);
  // Map gluon
  swap( colSave[5],  colSave[gIdx + 3]);
  swap(acolSave[5], acolSave[gIdx + 3]);
  // Swap if qbar qbar incoming
  if (id1 < 0) swapColAcol();
  
}

//--------------------------------------------------------------------------

// Map a final state configuration
inline void Sigma3qq2qqgSame::mapFinal() {
  switch (config) {
  case 0: pCM[2] = p3cm; pCM[3] = p4cm; pCM[4] = p5cm; break;
  case 1: pCM[2] = p3cm; pCM[3] = p5cm; pCM[4] = p4cm; break;
  case 2: pCM[2] = p4cm; pCM[3] = p3cm; pCM[4] = p5cm; break;
  case 3: pCM[2] = p4cm; pCM[3] = p5cm; pCM[4] = p3cm; break;
  case 4: pCM[2] = p5cm; pCM[3] = p3cm; pCM[4] = p4cm; break;
  case 5: pCM[2] = p5cm; pCM[3] = p4cm; pCM[4] = p3cm; break;
  }
}

//==========================================================================

// Sigma3qqbar2qqbargSame class.
// Cross section for q qbar -> q qbar g
// Crossed relation from q(bar) q(bar) -> q(bar) q(bar) g:
//   q1(p+) q2(p-) -> q1(q+) q2(q-) g(k)
//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence

void Sigma3qqbar2qqbargSame::sigmaKin() {

  // Incoming four-vectors
  pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
  pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);

  // Pick and map a final state configuration
  pickFinal();
  mapFinal();

  // Crossing
  swap(pCM[1], pCM[3]);
  pCM[1] = -pCM[1];
  pCM[3] = -pCM[3];

  // |M|^2
  // Extra factor of (6) from picking a final state configuration
  sigma = 6. * m2Calc();

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qqbar2qqbargSame::setIdColAcol(){
  // Outgoing flavours; easiest to map by hand
  switch (config) {
  case 0: id3 = id1; id4 = id2; id5 = 21;  break;
  case 1: id3 = id1; id4 = 21;  id5 = id2; break;
  case 2: id3 = id2; id4 = id1; id5 = 21;  break;
  case 3: id3 = 21;  id4 = id1; id5 = id2; break;
  case 4: id3 = id2; id4 = 21;  id5 = id1; break;
  case 5: id3 = 21;  id4 = id2; id5 = id1; break;
  }
  setId(id1, id2, id3, id4, id5);

  // Temporary solution; start with q qbar -> q qbar g
  int cols[5][2];
  cols[0][0] = 1; cols[0][1] = 0;
  cols[1][0] = 0; cols[1][1] = 2;
  cols[2][0] = 1; cols[2][1] = 0;
  cols[3][0] = 0; cols[3][1] = 3;
  cols[4][0] = 3; cols[4][1] = 2;
  // Map final state
  int i3 = 0, i4 = 0, i5 = 0;
  switch (config) {
  case 0: i3 = 2; i4 = 3; i5 = 4; break;
  case 1: i3 = 2; i4 = 4; i5 = 3; break;
  case 2: i3 = 3; i4 = 2; i5 = 4; break;
  case 3: i3 = 4; i4 = 2; i5 = 3; break;
  case 4: i3 = 3; i4 = 4; i5 = 2; break;
  case 5: i3 = 4; i4 = 3; i5 = 2; break;
  }
  setColAcol(cols[0][0],  cols[0][1],  cols[1][0],  cols[1][1],
             cols[i3][0], cols[i3][1], cols[i4][0], cols[i4][1],
             cols[i5][0], cols[i5][1]);
  // Swap for qbar q incoming
  if (id1 < 0) swapColAcol();
}

//==========================================================================

// Sigma3qg2qqqbarSame class.
// Cross section for q g -> q q qbar.
// Crossed relation from q(bar) q(bar) -> q(bar) q(bar) g:
//   q1(p+) q1(p-) -> q1(q+) q1(q-) g(k)

//--------------------------------------------------------------------------

// Evaluate |M|^2 - no incoming flavour dependence

void Sigma3qg2qqqbarSame::sigmaKin() {

  // Pick a final state configuration
  pickFinal();

  // gq and qg incoming
  for (int i = 0; i < 2; i++) {

    // Map incoming four-vectors
    pCM[0] = Vec4( 0., 0.,  0.5 * mH, 0.5 * mH);
    pCM[1] = Vec4( 0., 0., -0.5 * mH, 0.5 * mH);
    mapFinal();

    // Crossing (note extra -ve sign in total sigma)
    swap(pCM[i], pCM[4]);
    pCM[i] = -pCM[i];
    pCM[4] = -pCM[4];

    // |M|^2
    // XXX - Extra factor of (3) from picking a final state configuration???
    // Extra factor of (3 / 8) as averaging over incoming gluon
    sigma[i] = -3. * (3. / 8.) * m2Calc();

  }

}

//--------------------------------------------------------------------------

// Evaluate |M|^2 - incoming flavour dependence

double Sigma3qg2qqqbarSame::sigmaHat() {
  // gq or qg incoming
  return (id1 == 21) ? sigma[0] : sigma[1];
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qg2qqqbarSame::setIdColAcol(){

  // Pick outgoing flavour configuration
  int idIn = (id1 == 21) ? id2 : id1;

  // Outgoing flavours; easiest just to map by hand
  switch (config) {
  case 0: id3 =  idIn; id4 =  idIn;   id5 = -idIn; break;
  case 1: id3 =  idIn; id4 = -idIn;   id5 =  idIn; break;
  case 2: id3 =  idIn; id4 =  idIn;   id5 = -idIn; break;
  case 3: id3 = -idIn; id4 =  idIn;   id5 =  idIn; break;
  case 4: id3 =  idIn; id4 = -idIn;   id5 =  idIn; break;
  case 5: id3 = -idIn; id4 =  idIn;   id5 =  idIn; break;
  }
  setId(id1, id2, id3, id4, id5);

  // Temporary solution; start with either
  // g q1    -> q1    q2 qbar2
  // g qbar1 -> qbar1 qbar2 q2
  int cols[5][2];
  cols[0][0] = 1; cols[0][1] = 2;
  if (idIn > 0) {
    cols[1][0] = 3; cols[1][1] = 0;
    cols[2][0] = 1; cols[2][1] = 0;
    cols[3][0] = 3; cols[3][1] = 0;
    cols[4][0] = 0; cols[4][1] = 2;
  } else {
    cols[1][0] = 0; cols[1][1] = 3;
    cols[2][0] = 0; cols[2][1] = 2;
    cols[3][0] = 0; cols[3][1] = 3;
    cols[4][0] = 1; cols[4][1] = 0;
  }
  // Swap incoming if q/qbar g instead
  if (id2 == 21) {
    swap(cols[0][0], cols[1][0]);
    swap(cols[0][1], cols[1][1]);
  }
  // Map final state
  int i3 = 0, i4 = 0, i5 = 0;
  switch (config) {
  case 0: i3 = 2; i4 = 3; i5 = 4; break;
  case 1: i3 = 2; i4 = 4; i5 = 3; break;
  case 2: i3 = 3; i4 = 2; i5 = 4; break;
  case 3: i3 = 4; i4 = 2; i5 = 3; break;
  case 4: i3 = 3; i4 = 4; i5 = 2; break;
  case 5: i3 = 4; i4 = 3; i5 = 2; break;
  }
  setColAcol(cols[0][0],  cols[0][1],  cols[1][0],  cols[1][1],
             cols[i3][0], cols[i3][1], cols[i4][0], cols[i4][1],
             cols[i5][0], cols[i5][1]);
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaNewGaugeBosons.cc0000644000175000017500000006361712357054764017336 0ustar  sunsun// SigmaNewGaugeBosons.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// leptoquark simulation classes.

#include "Pythia8/SigmaNewGaugeBosons.h"

namespace Pythia8 {


//==========================================================================

// Sigma1ffbarZprimeWprime class.
// Collects common methods for f fbar -> Z'/W' -> WW/WZ -> 4 fermions.
// Copied from SigmaEW for gauge-boson-pair production.

//--------------------------------------------------------------------------

// Calculate and store internal products.

void Sigma1ffbarZprimeWprime::setupProd( Event& process, int i1, int i2,
  int i3, int i4, int i5, int i6) {

  // Store incoming and outgoing momenta,
  pRot[1] = process[i1].p();
  pRot[2] = process[i2].p();
  pRot[3] = process[i3].p();
  pRot[4] = process[i4].p();
  pRot[5] = process[i5].p();
  pRot[6] = process[i6].p();

  // Do random rotation to avoid accidental zeroes in HA expressions.
  bool smallPT = false;
  do {
    smallPT = false;
    double thetaNow = acos(2. * rndmPtr->flat() - 1.);
    double phiNow   = 2. * M_PI * rndmPtr->flat();
    for (int i = 1; i <= 6; ++i) {
      pRot[i].rot( thetaNow, phiNow);
      if (pRot[i].pT2() < 1e-4 * pRot[i].pAbs2()) smallPT = true;
    }
  } while (smallPT);

  // Calculate internal products.
  for (int i = 1; i < 6; ++i) {
    for (int j = i + 1; j <= 6; ++j) {
      hA[i][j] =
          sqrt( (pRot[i].e() - pRot[i].pz()) * (pRot[j].e() + pRot[j].pz())
        / pRot[i].pT2() ) * complex( pRot[i].px(), pRot[i].py() )
        - sqrt( (pRot[i].e() + pRot[i].pz()) * (pRot[j].e() - pRot[j].pz())
        / pRot[j].pT2() ) * complex( pRot[j].px(), pRot[j].py() );
      hC[i][j] = conj( hA[i][j] );
      if (i <= 2) {
        hA[i][j] *= complex( 0., 1.);
        hC[i][j] *= complex( 0., 1.);
      }
      hA[j][i] = - hA[i][j];
      hC[j][i] = - hC[i][j];
    }
  }

}

//--------------------------------------------------------------------------

// Evaluate the F function of Gunion and Kunszt.

complex Sigma1ffbarZprimeWprime::fGK(int j1, int j2, int j3, int j4,
  int j5, int j6) {
 
  return 4. * hA[j1][j3] * hC[j2][j6]
         * ( hA[j1][j5] * hC[j1][j4] + hA[j3][j5] * hC[j3][j4] );

}

//--------------------------------------------------------------------------

// Evaluate the Xi function of Gunion and Kunszt.

double Sigma1ffbarZprimeWprime::xiGK( double tHnow, double uHnow,
  double s3now, double s4now) {

  return - 4. * s3now * s4now + tHnow * (3. * tHnow + 4. * uHnow)
    + tHnow * tHnow * ( tHnow * uHnow / (s3now * s4now)
    - 2. * (1. / s3now + 1./s4now) * (tHnow + uHnow)
    + 2. * (s3now / s4now + s4now / s3now) );

}

//--------------------------------------------------------------------------

// Evaluate the Xj function of Gunion and Kunszt.

double Sigma1ffbarZprimeWprime::xjGK( double tHnow, double uHnow,
  double s3now, double s4now) {

  return 8. * pow2(s3now + s4now) - 8. * (s3now + s4now) * (tHnow + uHnow)
    - 6. * tHnow * uHnow - 2. * tHnow * uHnow * ( tHnow * uHnow
    / (s3now * s4now) - 2. * (1. / s3now + 1. / s4now) * (tHnow + uHnow)
    + 2. * (s3now / s4now + s4now / s3now) );

}

//==========================================================================

// Sigma1ffbar2gmZZprime class.
// Cross section for f fbar -> gamma*/Z0/Z'0 (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2gmZZprime::initProc() {

  // Allow to pick only parts of full gamma*/Z0/Z'0 expression.
  gmZmode     = settingsPtr->mode("Zprime:gmZmode");

  // Store Z'0 mass and width for propagator.
  mRes        = particleDataPtr->m0(32);
  GammaRes    = particleDataPtr->mWidth(32);
  m2Res       = mRes*mRes;
  GamMRat     = GammaRes / mRes;
  sin2tW      = couplingsPtr->sin2thetaW();
  cos2tW      = 1. - sin2tW;
  thetaWRat   = 1. / (16. * sin2tW * cos2tW);

  // Properties of Z0 resonance also needed.
  mZ          = particleDataPtr->m0(23);
  GammaZ      = particleDataPtr->mWidth(23);
  m2Z         = mZ*mZ;
  GamMRatZ    = GammaZ / mZ;

  // Ensure that arrays initially are empty.
  for (int i = 0; i < 20; ++i) afZp[i] = 0.;
  for (int i = 0; i < 20; ++i) vfZp[i] = 0.;
  
  // Store first-generation axial and vector couplings.
  afZp[1]     = settingsPtr->parm("Zprime:ad");
  afZp[2]     = settingsPtr->parm("Zprime:au");
  afZp[11]    = settingsPtr->parm("Zprime:ae");
  afZp[12]    = settingsPtr->parm("Zprime:anue");
  vfZp[1]     = settingsPtr->parm("Zprime:vd");
  vfZp[2]     = settingsPtr->parm("Zprime:vu");
  vfZp[11]    = settingsPtr->parm("Zprime:ve");
  vfZp[12]    = settingsPtr->parm("Zprime:vnue");

  // Second and third generation could be carbon copy of this...
  if (settingsPtr->flag("Zprime:universality")) {
    for (int i = 3; i <= 6; ++i) {
      afZp[i]    = afZp[i-2];
      vfZp[i]    = vfZp[i-2];
      afZp[i+10] = afZp[i+8];
      vfZp[i+10] = vfZp[i+8];
    }

  // ... or could have different couplings.
  } else {
    afZp[3]   = settingsPtr->parm("Zprime:as");
    afZp[4]   = settingsPtr->parm("Zprime:ac");
    afZp[5]   = settingsPtr->parm("Zprime:ab");
    afZp[6]   = settingsPtr->parm("Zprime:at");
    afZp[13]  = settingsPtr->parm("Zprime:amu");
    afZp[14]  = settingsPtr->parm("Zprime:anumu");
    afZp[15]  = settingsPtr->parm("Zprime:atau");
    afZp[16]  = settingsPtr->parm("Zprime:anutau");
    vfZp[3]   = settingsPtr->parm("Zprime:vs");
    vfZp[4]   = settingsPtr->parm("Zprime:vc");
    vfZp[5]   = settingsPtr->parm("Zprime:vb");
    vfZp[6]   = settingsPtr->parm("Zprime:vt");
    vfZp[13]  = settingsPtr->parm("Zprime:vmu");
    vfZp[14]  = settingsPtr->parm("Zprime:vnumu");
    vfZp[15]  = settingsPtr->parm("Zprime:vtau");
    vfZp[16]  = settingsPtr->parm("Zprime:vnutau");
  }

  // Coupling for Z' -> W+ W- and decay angular admixture.
  coupZpWW    = settingsPtr->parm("Zprime:coup2WW");
  anglesZpWW  = settingsPtr->parm("Zprime:anglesWW");

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(32);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2gmZZprime::sigmaKin() {

  // Common coupling factors.
  double colQ = 3. * (1. + alpS / M_PI);

  // Reset quantities to sum. Declare variables in loop.
  gamSum   = 0.;
  gamZSum  = 0.;
  ZSum     = 0.;
  gamZpSum = 0.;
  ZZpSum   = 0.;
  ZpSum    = 0.;
  int    idAbs, onMode;
  double mf, mr, ps, kinFacA, kinFacV, ef, af, vf, apf, vpf,
         ef2, efvf, vaf2, efvpf, vafvapf, vapf2, colf;

  // Loop over all open Z'0 decay channels.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    onMode = particlePtr->channel(i).onMode();
    if (onMode != 1 && onMode != 2) continue;
    idAbs = abs( particlePtr->channel(i).product(0) );

    // Contributions from three fermion generations.
    if ( (idAbs > 0 && idAbs < 7) || ( idAbs > 10 && idAbs < 17) ) {
      mf = particleDataPtr->m0(idAbs);

      // Check that above threshold.
      if (mH > 2. * mf + MASSMARGIN) {
        mr        = pow2(mf / mH);
        ps        = sqrtpos(1. - 4. * mr);

        // Couplings of gamma^*/Z^0/Z'^0  to final flavour
        ef        = couplingsPtr->ef(idAbs);
        af        = couplingsPtr->af(idAbs);
        vf        = couplingsPtr->vf(idAbs);
        apf       = afZp[idAbs];
        vpf       = vfZp[idAbs];

        // Combine couplings with kinematical factors.
        kinFacA   = pow3(ps);
        kinFacV   = ps * (1. + 2. * mr);
        ef2       = ef * ef * kinFacV;
        efvf      = ef * vf * kinFacV;
        vaf2      = vf * vf * kinFacV + af * af * kinFacA;
        efvpf     = ef * vpf * kinFacV;
        vafvapf   = vf * vpf * kinFacV + af * apf * kinFacA;
        vapf2     = vpf * vpf * kinFacV + apf * apf * kinFacA;

        // Colour factor. Additionally secondary width for top.
        colf      = (idAbs < 9) ? colQ : 1.;
        if (idAbs == 6) colf *= particleDataPtr->resOpenFrac(6, -6);

        // Store sum of combinations.
        gamSum   += colf * ef2;
        gamZSum  += colf * efvf;
        ZSum     += colf * vaf2;
        gamZpSum += colf * efvpf;
        ZZpSum   += colf * vafvapf;
        ZpSum    += colf * vapf2;
      }

    // Optional contribution from W+ W-.
    } else if (idAbs == 24) {
      mf = particleDataPtr->m0(idAbs);
      if (mH > 2. * mf + MASSMARGIN) {
        mr        = pow2(mf / mH);
        ps        = sqrtpos(1. - 4. * mr);
        ZpSum    += pow2(coupZpWW * cos2tW) * pow3(ps)
                  * (1. + 20. * mr + 12. * mr*mr)
                  * particleDataPtr->resOpenFrac(24, -24);
      }
    }
  }

  // Calculate prefactors for gamma/Z0/Z'0 cross section terms.
  double propZ  = sH / ( pow2(sH - m2Z) + pow2(sH * GamMRatZ) );
  double propZp = sH / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  gamNorm   = 4. * M_PI * pow2(alpEM) / (3. * sH);
  gamZNorm  = gamNorm * 2. * thetaWRat * (sH - m2Z) * propZ;
  ZNorm     = gamNorm * pow2(thetaWRat) * sH * propZ;
  gamZpNorm = gamNorm * 2. * thetaWRat * (sH - m2Res) * propZp;
  ZZpNorm   = gamNorm * 2. * pow2(thetaWRat) * ((sH - m2Z) * (sH - m2Res)
              + sH * GamMRatZ * sH * GamMRat) * propZ * propZp;
  ZpNorm    = gamNorm * pow2(thetaWRat) * sH * propZp;

  // Optionally only keep some of gamma*, Z0 and Z' terms.
  if (gmZmode == 1) {gamZNorm = 0; ZNorm = 0.; gamZpNorm = 0.;
    ZZpNorm = 0.; ZpNorm = 0.;}
  if (gmZmode == 2) {gamNorm = 0.; gamZNorm = 0.; gamZpNorm = 0.;
    ZZpNorm = 0.; ZpNorm = 0.;}
  if (gmZmode == 3) {gamNorm = 0.; gamZNorm = 0.; ZNorm = 0.;
    gamZpNorm = 0.; ZZpNorm = 0.;}
  if (gmZmode == 4) {gamZpNorm = 0.; ZZpNorm = 0.; ZpNorm = 0.;}
  if (gmZmode == 5) {gamZNorm = 0.; ZNorm = 0.; ZZpNorm = 0.;}
  if (gmZmode == 6) {gamNorm = 0.; gamZNorm = 0.; gamZpNorm = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2gmZZprime::sigmaHat() {

  // Couplings to an incoming flavour.
  int idAbs      = abs(id1);
  double ei      = couplingsPtr->ef(idAbs);
  double ai      = couplingsPtr->af(idAbs);
  double vi      = couplingsPtr->vf(idAbs);
  double api     = afZp[idAbs];
  double vpi     = vfZp[idAbs];
  double ei2     = ei * ei;
  double eivi    = ei * vi;
  double vai2    = vi * vi + ai * ai;
  double eivpi   = ei * vpi;
  double vaivapi = vi * vpi + ai * api;;
  double vapi2   = vpi * vpi + api * api;

  // Combine gamma, interference and Z0 parts.
  double sigma = ei2 * gamNorm * gamSum + eivi * gamZNorm * gamZSum
               + vai2 * ZNorm * ZSum + eivpi * gamZpNorm * gamZpSum
               + vaivapi * ZZpNorm * ZZpSum + vapi2 * ZpNorm * ZpSum;

  // Colour factor. Answer.
  if (idAbs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2gmZZprime::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 32);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for gamma*/Z0/Z'0 decay angle.
  
double Sigma1ffbar2gmZZprime::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Default values, in- and out-flavours in process.
  double wt    = 1.;
  double wtMax = 1.;
  int idInAbs  = process[3].idAbs();
  int idOutAbs = process[6].idAbs();

  // Angular weight for outgoing fermion pair.
  if (iResBeg == 5 && iResEnd == 5 &&
    (idOutAbs < 7 || ( idOutAbs > 10 && idOutAbs < 17)) ) {

    // Couplings for in- and out-flavours.
    double ei  = couplingsPtr->ef(idInAbs);
    double vi  = couplingsPtr->vf(idInAbs);
    double ai  = couplingsPtr->af(idInAbs);
    double vpi = vfZp[idInAbs];
    double api = afZp[idInAbs];
    double ef  = couplingsPtr->ef(idOutAbs);
    double vf  = couplingsPtr->vf(idOutAbs);
    double af  = couplingsPtr->af(idOutAbs);
    double vpf = vfZp[idOutAbs];
    double apf = afZp[idOutAbs];

    // Phase space factors. (One power of beta left out in formulae.)
    double mr1 = pow2(process[6].m()) / sH;
    double mr2 = pow2(process[7].m()) / sH;
    double ps  = sqrtpos(pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
    double mrAvg = 0.5 * (mr1 + mr2) - 0.25 * pow2(mr1 - mr2);

    // Coefficients of angular expression.
    double coefTran = ei*ei * gamNorm * ef*ef + ei * vi * gamZNorm * ef * vf
      + (vi*vi + ai*ai) * ZNorm * (vf*vf + ps*ps * af*af)
      + ei * vpi * gamZpNorm * ef * vpf
      + (vi * vpi + ai * api) * ZZpNorm * (vf * vpf + ps*ps * af * apf)
      + (vpi*vpi + api*api) * ZpNorm * (vpf*vpf + ps*ps * apf*apf);
    double coefLong = 4. * mrAvg * ( ei*ei * gamNorm * ef*ef
      + ei * vi * gamZNorm * ef * vf + (vi*vi + ai*ai) * ZNorm * vf*vf
      + ei * vpi * gamZpNorm * ef * vpf
      + (vi * vpi + ai * api) * ZZpNorm * vf * vpf
      + (vpi*vpi + api*api) * ZpNorm * vpf*vpf );
    double coefAsym = ps * ( ei * ai * gamZNorm * ef * af
      + 4. * vi * ai * ZNorm * vf * af + ei * api * gamZpNorm * ef * apf
      + (vi * api + vpi * ai) * ZZpNorm * (vf * apf + vpf * af)
      + 4. * vpi * api * ZpNorm * vpf * apf );

    // Flip asymmetry for in-fermion + out-antifermion.
    if (process[3].id() * process[6].id() < 0) coefAsym = -coefAsym;

    // Reconstruct decay angle and weight for it.
    double cosThe = (process[3].p() - process[4].p())
      * (process[7].p() - process[6].p()) / (sH * ps);
    wt    = coefTran * (1. + pow2(cosThe))
       + coefLong * (1. - pow2(cosThe)) + 2. * coefAsym * cosThe;
    wtMax = 2. * (coefTran + abs(coefAsym));
  }

  // Angular weight for Z' -> W+ W-.
  else if (iResBeg == 5 && iResEnd == 5 && idOutAbs == 24) {
    double mr1 = pow2(process[6].m()) / sH;
    double mr2 = pow2(process[7].m()) / sH;
    double ps  = sqrtpos(pow2(1. - mr1 -mr2) - 4. * mr1 * mr2);
    double cCos2 = - (1./16.) * ps*ps * (1. - 2. * mr1 - 2. * mr2
      + mr1*mr1 + mr2*mr2 + 10. * mr1 * mr2);
    double cFlat = -cCos2 + 0.5 * (mr1 + mr2)
      * (1. - 2. * mr1 - 2. * mr2 + pow2(mr1 - mr2));

    // Reconstruct decay angle and weight for it.
    double cosThe = (process[3].p() - process[4].p())
      * (process[7].p() - process[6].p()) / (sH * ps);
    wt    = cFlat + cCos2 * cosThe*cosThe;
    wtMax = cFlat + max(0., cCos2);
  }

  // Angular weight for f + fbar -> Z' -> W+ + W- -> 4 fermions.
  else if (iResBeg == 6 && iResEnd == 7 && idOutAbs == 24) {
 
    // Order so that fbar(1) f(2) -> f'(3) fbar'(4) f"(5) fbar"(6).
    // with f' fbar' from W- and f" fbar" from W+.
    int i1 = (process[3].id() < 0) ? 3 : 4;
    int i2 = 7 - i1;
    int i3 = (process[8].id() > 0) ? 8 : 9;
    int i4 = 17 - i3;
    int i5 = (process[10].id() > 0) ? 10 : 11;
    int i6 = 21 - i5;
    if (process[6].id() > 0) {swap(i3, i5); swap(i4, i6);}
  
    // Decay distribution like in f fbar -> Z^* -> W+ W-.
    if (rndmPtr->flat() > anglesZpWW) {

      // Set up four-products and internal products.
      setupProd( process, i1, i2, i3, i4, i5, i6);

      // tHat and uHat of fbar f -> W- W+, and their squared masses.
      int iNeg     = (process[6].id() < 0) ? 6 : 7;
      int iPos     = 13 - iNeg;
      double tHres = (process[i1].p() - process[iNeg].p()).m2Calc();
      double uHres = (process[i1].p() - process[iPos].p()).m2Calc();
      double s3now = process[iNeg].m2();
      double s4now = process[iPos].m2();

      // Kinematics combinations (norm(x) = |x|^2).
      double fGK135 = norm(fGK( 1, 2, 3, 4, 5, 6) - fGK( 1, 2, 5, 6, 3, 4) );
      double fGK253 = norm(fGK( 2, 1, 5, 6, 3, 4) - fGK( 2, 1, 3, 4, 5, 6) );
      double xiT    = xiGK( tHres, uHres, s3now, s4now);
      double xiU    = xiGK( uHres, tHres, s3now, s4now);
      double xjTU   = xjGK( tHres, uHres, s3now, s4now);

      //  Couplings of incoming (anti)fermion. Combine with kinematics.
      int idAbs     = process[i1].idAbs();
      double li     = 0.5 * (vfZp[idAbs] + afZp[idAbs]);
      double ri     = 0.5 * (vfZp[idAbs] - afZp[idAbs]);
      wt            = li*li * fGK135 + ri*ri * fGK253;
      wtMax         = 4. * s3now * s4now * (li*li + ri*ri)
                    * (xiT + xiU - xjTU);
   
    // Decay distribution like in f fbar -> h^0 -> W+ W-.
    } else {
      double p35  = 2. * process[i3].p() * process[i5].p();
      double p46  = 2. * process[i4].p() * process[i6].p();
      wt          = 16. * p35 * p46;
      wtMax       = sH2;
    }
  }

  // Angular weight in top decay by standard routine.
  else if (process[process[iResBeg].mother1()].idAbs() == 6)
    return weightTopDecay( process, iResBeg, iResEnd);


  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma1ffbar2Wprime class.
// Cross section for f fbar' -> W'+- (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2Wprime::initProc() {

  // Store W+- mass and width for propagator.
  mRes     = particleDataPtr->m0(34);
  GammaRes = particleDataPtr->mWidth(34);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

  // Axial and vector couplings of fermions.
  aqWp      = settingsPtr->parm("Wprime:aq");
  vqWp      = settingsPtr->parm("Wprime:vq");
  alWp      = settingsPtr->parm("Wprime:al");
  vlWp      = settingsPtr->parm("Wprime:vl");

  // Coupling for W' -> W Z and decay angular admixture.
  coupWpWZ    = settingsPtr->parm("Wprime:coup2WZ");
  anglesWpWZ  = settingsPtr->parm("Wprime:anglesWZ");

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(34);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2Wprime::sigmaKin() {

  // Set up Breit-Wigner. Cross section for W+ and W- separately.
  double sigBW  = 12. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double preFac = alpEM * thetaWRat * mH;
  sigma0Pos     = preFac * sigBW * particlePtr->resWidthOpen(34, mH);
  sigma0Neg     = preFac * sigBW * particlePtr->resWidthOpen(-34, mH);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2Wprime::sigmaHat() {

  // Secondary width for W+ or W-. CKM and colour factors.
  int idUp = (abs(id1)%2 == 0) ? id1 : id2;
  double sigma = (idUp > 0) ? sigma0Pos : sigma0Neg;
  if (abs(id1) < 7) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Couplings.
  if (abs(id1) < 7) sigma *= 0.5 * (aqWp * aqWp + vqWp * vqWp);
  else              sigma *= 0.5 * (alWp * alWp + vlWp * vlWp);

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2Wprime::setIdColAcol() {

  // Sign of outgoing W.
  int sign          = 1 - 2 * (abs(id1)%2);
  if (id1 < 0) sign = -sign;
  setId( id1, id2, 34 * sign);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for W decay angle.
  
double Sigma1ffbar2Wprime::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Default values, in- and out-flavours in process.
  double wt    = 1.;
  double wtMax = 1.;
  int idInAbs  = process[3].idAbs();
  int idOutAbs = process[6].idAbs();

  // Angular weight for outgoing fermion pair.
  if (iResBeg == 5 && iResEnd == 5 &&
    (idOutAbs < 7 || ( idOutAbs > 10 && idOutAbs < 17)) ) {

    // Couplings for in- and out-flavours.
    double ai  = (idInAbs < 9) ? aqWp : alWp;
    double vi  = (idInAbs < 9) ? vqWp : vlWp;
    double af  = (idOutAbs < 9) ? aqWp : alWp;
    double vf  = (idOutAbs < 9) ? vqWp : vlWp;

    // Asymmetry expression.
    double coefAsym = 8. * vi * ai * vf * af
      / ((vi*vi + ai*ai) * (vf*vf + af*af));

    // Flip asymmetry for in-fermion + out-antifermion.
    if (process[3].id() * process[6].id() < 0) coefAsym = -coefAsym;

    // Phase space factors.
    double mr1 = pow2(process[6].m()) / sH;
    double mr2 = pow2(process[7].m()) / sH;
    double ps  = sqrtpos(pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);

    // Reconstruct decay angle and weight for it.
    double cosThe = (process[3].p() - process[4].p())
      * (process[7].p() - process[6].p()) / (sH * ps);
    wt    = 1. + coefAsym * cosThe + cosThe * cosThe;
    wtMax = 2. + abs(coefAsym);
  }

  // Angular weight for W' -> W Z.
  else if (iResBeg == 5 && iResEnd == 5 && idOutAbs == 24) {
    double mr1 = pow2(process[6].m()) / sH;
    double mr2 = pow2(process[7].m()) / sH;
    double ps  = sqrtpos(pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
    double cCos2 = - (1./16.) * ps*ps * (1. - 2. * mr1 - 2. * mr2
      + mr1*mr1 + mr2*mr2 + 10. * mr1 * mr2);
    double cFlat = -cCos2 + 0.5 * (mr1 + mr2)
      * (1. - 2. * mr1 - 2. * mr2 + pow2(mr1 - mr2));

    // Reconstruct decay angle and weight for it.
    double cosThe = (process[3].p() - process[4].p())
      * (process[7].p() - process[6].p()) / (sH * ps);
    wt    = cFlat + cCos2 * cosThe*cosThe;
    wtMax = cFlat + max(0., cCos2);
  }

  // Angular weight for f + fbar -> W' -> W + Z -> 4 fermions.
  else if (iResBeg == 6 && iResEnd == 7
    && (idOutAbs == 24 || idOutAbs == 23)) {
 
    // Order so that fbar(1) f(2) -> f'(3) fbar'(4) f"(5) fbar"(6).
    // with f' fbar' from W and f" fbar" from Z.
    int i1 = (process[3].id() < 0) ? 3 : 4;
    int i2 = 7 - i1;
    int i3 = (process[8].id() > 0) ? 8 : 9;
    int i4 = 17 - i3;
    int i5 = (process[10].id() > 0) ? 10 : 11;
    int i6 = 21 - i5;
    if (process[6].id() == 23) {swap(i3, i5); swap(i4, i6);}
  
    // Decay distribution like in f fbar -> Z^* -> W+ W-.
    if (rndmPtr->flat() > anglesWpWZ) {

      // Set up four-products and internal products.
      setupProd( process, i1, i2, i3, i4, i5, i6);

      // tHat and uHat of fbar f -> W Z, and their squared masses.
      int iW       = (process[6].id() == 23) ? 7 : 6;
      int iZ       = 13 - iW;
      double tHres = (process[i1].p() - process[iW].p()).m2Calc();
      double uHres = (process[i1].p() - process[iZ].p()).m2Calc();
      double s3now = process[iW].m2();
      double s4now = process[iZ].m2();

      // Kinematics combinations (norm(x) = |x|^2).
      double fGK135 = norm(fGK( 1, 2, 3, 4, 5, 6) - fGK( 1, 2, 5, 6, 3, 4) );
      double fGK136 = norm(fGK( 1, 2, 3, 4, 6, 5) - fGK( 1, 2, 6, 5, 3, 4) );
      double xiT    = xiGK( tHres, uHres, s3now, s4now);
      double xiU    = xiGK( uHres, tHres, s3now, s4now);
      double xjTU   = xjGK( tHres, uHres, s3now, s4now);

      //  Couplings of outgoing fermion from Z. Combine with kinematics.
      int idAbs     = process[i5].idAbs();
      double lfZ    = couplingsPtr->lf(idAbs);
      double rfZ    = couplingsPtr->rf(idAbs);
      wt            = lfZ*lfZ * fGK135 + rfZ*rfZ * fGK136;
      wtMax         = 4. * s3now * s4now * (lfZ*lfZ + rfZ*rfZ)
                    * (xiT + xiU - xjTU);
   
    // Decay distribution like in f fbar -> H^+- -> W+- Z0.
    } else {
      double p35  = 2. * process[i3].p() * process[i5].p();
      double p46  = 2. * process[i4].p() * process[i6].p();
      wt          = 16. * p35 * p46;
      wtMax       = sH2;
    }
  }

  // Angular weight in top decay by standard routine.
  else if (process[process[iResBeg].mother1()].idAbs() == 6)
    return weightTopDecay( process, iResBeg, iResEnd);
 
  // Done.
  return (wt / wtMax);

}


//==========================================================================

// Sigma1ffbar2Rhorizontal class.
// Cross section for f fbar' -> R^0 (f is a quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2Rhorizontal::initProc() {

  // Store R^0 mass and width for propagator.
  mRes     = particleDataPtr->m0(41);
  GammaRes = particleDataPtr->mWidth(41);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(41);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2Rhorizontal::sigmaKin() {

  // Set up Breit-Wigner. Cross section for W+ and W- separately.
  double sigBW  = 12. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double preFac = alpEM * thetaWRat * mH;
  sigma0Pos     = preFac * sigBW * particlePtr->resWidthOpen(41, mH);
  sigma0Neg     = preFac * sigBW * particlePtr->resWidthOpen(-41, mH);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2Rhorizontal::sigmaHat() {

  // Check for allowed flavour combinations, one generation apart.
  if (id1 * id2 > 0 || abs(id1 + id2) != 2) return 0.;

  // Find whether R0 or R0bar. Colour factors.
  double sigma = (id1 + id2 > 0) ? sigma0Pos : sigma0Neg;
  if (abs(id1) < 7) sigma /= 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2Rhorizontal::setIdColAcol() {

  // Outgoing R0 or R0bar.
  id3 = (id1 +id2 > 0) ? 41 : -41;
  setId( id1, id2, id3);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/MultipartonInteractions.cc0000644000175000017500000026041512357054762020361 0ustar  sunsun// MultipartonInteractions.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// SigmaMultiparton and MultipartonInteractions classes.
  
#include "Pythia8/MultipartonInteractions.h"

// Internal headers for special processes.
#include "Pythia8/SigmaQCD.h"
#include "Pythia8/SigmaEW.h"
#include "Pythia8/SigmaOnia.h"

namespace Pythia8 {

//==========================================================================

// The SigmaMultiparton class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// The sum of outgoing masses must not be too close to the cm energy.
const double SigmaMultiparton::MASSMARGIN = 0.1;

// Fraction of time not the dominant "gluon t-channel" process is picked.
const double SigmaMultiparton::OTHERFRAC  = 0.2;

//--------------------------------------------------------------------------

// Initialize the generation process for given beams.

bool SigmaMultiparton::init(int inState, int processLevel, Info* infoPtr,
    Settings* settingsPtr, ParticleData* particleDataPtr, Rndm* rndmPtrIn,
    BeamParticle* beamAPtr, BeamParticle* beamBPtr, Couplings* couplingsPtr) {

  // Store input pointer for future use.
  rndmPtr          = rndmPtrIn;

  // Reset vector sizes (necessary in case of re-initialization).
  if (sigmaT.size() > 0) {
    for (int i = 0; i < int(sigmaT.size()); ++i) delete sigmaT[i];
    sigmaT.resize(0);
  }
  if (sigmaU.size() > 0) {
    for (int i = 0; i < int(sigmaU.size()); ++i) delete sigmaU[i];
    sigmaU.resize(0);
  }

  // Always store mimimal set of processes:QCD 2 -> 2 t-channel.

  // Gluon-gluon instate.
  if (inState == 0) {
    sigmaT.push_back( new Sigma2gg2gg() );
    sigmaU.push_back( new Sigma2gg2gg() );

  // Quark-gluon instate.
  } else if (inState == 1) {
    sigmaT.push_back( new Sigma2qg2qg() );
    sigmaU.push_back( new Sigma2qg2qg() );

  // Quark-(anti)quark instate.
  } else {
    sigmaT.push_back( new Sigma2qq2qq() );
    sigmaU.push_back( new Sigma2qq2qq() );
  }

  // Normally store QCD processes to new flavour.
  if (processLevel > 0) {
    if (inState == 0) {
      sigmaT.push_back( new Sigma2gg2qqbar() );
      sigmaU.push_back( new Sigma2gg2qqbar() );
      sigmaT.push_back( new Sigma2gg2QQbar(4, 121) );
      sigmaU.push_back( new Sigma2gg2QQbar(4, 121) );
      sigmaT.push_back( new Sigma2gg2QQbar(5, 123) );
      sigmaU.push_back( new Sigma2gg2QQbar(5, 123) );
    } else if (inState == 2) {
      sigmaT.push_back( new Sigma2qqbar2gg() );
      sigmaU.push_back( new Sigma2qqbar2gg() );
      sigmaT.push_back( new Sigma2qqbar2qqbarNew() );
      sigmaU.push_back( new Sigma2qqbar2qqbarNew() );
      sigmaT.push_back( new Sigma2qqbar2QQbar(4, 122) );
      sigmaU.push_back( new Sigma2qqbar2QQbar(4, 122) );
      sigmaT.push_back( new Sigma2qqbar2QQbar(5, 124) );
      sigmaU.push_back( new Sigma2qqbar2QQbar(5, 124) );
    }
  }

  // Optionally store electroweak processes, mainly photon production.
  if (processLevel > 1) {
    if (inState == 0) {
      sigmaT.push_back( new Sigma2gg2ggamma() );
      sigmaU.push_back( new Sigma2gg2ggamma() );
      sigmaT.push_back( new Sigma2gg2gammagamma() );
      sigmaU.push_back( new Sigma2gg2gammagamma() );
    } else if (inState == 1) {
      sigmaT.push_back( new Sigma2qg2qgamma() );
      sigmaU.push_back( new Sigma2qg2qgamma() );
    } else if (inState == 2) {
      sigmaT.push_back( new Sigma2qqbar2ggamma() );
      sigmaU.push_back( new Sigma2qqbar2ggamma() );
      sigmaT.push_back( new Sigma2ffbar2gammagamma() );
      sigmaU.push_back( new Sigma2ffbar2gammagamma() );
      sigmaT.push_back( new Sigma2ffbar2ffbarsgm() );
      sigmaU.push_back( new Sigma2ffbar2ffbarsgm() );
    }
    if (inState >= 2) {
      sigmaT.push_back( new Sigma2ff2fftgmZ() );
      sigmaU.push_back( new Sigma2ff2fftgmZ() );
      sigmaT.push_back( new Sigma2ff2fftW() );
      sigmaU.push_back( new Sigma2ff2fftW() );
    }
  }

  // Optionally store charmonium and bottomonium production.
  if (processLevel > 2) {
    SigmaOniaSetup charmonium(infoPtr, settingsPtr, particleDataPtr, 4);
    SigmaOniaSetup bottomonium(infoPtr, settingsPtr, particleDataPtr, 5);
    if (inState == 0) {
      charmonium.setupSigma2gg(sigmaT, true);
      charmonium.setupSigma2gg(sigmaU, true);
      bottomonium.setupSigma2gg(sigmaT, true);
      bottomonium.setupSigma2gg(sigmaU, true);
    } else if (inState == 1) {
      charmonium.setupSigma2qg(sigmaT, true);
      charmonium.setupSigma2qg(sigmaU, true);
      bottomonium.setupSigma2qg(sigmaT, true);
      bottomonium.setupSigma2qg(sigmaU, true);
    } else if (inState == 2) {
      charmonium.setupSigma2qq(sigmaT, true);
      charmonium.setupSigma2qq(sigmaU, true);
      bottomonium.setupSigma2qq(sigmaT, true);
      bottomonium.setupSigma2qq(sigmaU, true);
    }
  }

  // Resize arrays to match sizes above.
  nChan = sigmaT.size();
  needMasses.resize(nChan);
  m3Fix.resize(nChan);
  m4Fix.resize(nChan);
  sHatMin.resize(nChan);
  sigmaTval.resize(nChan);
  sigmaUval.resize(nChan);
 
  // Initialize the processes.
  for (int i = 0; i < nChan; ++i) {
    sigmaT[i]->init( infoPtr, settingsPtr, particleDataPtr, rndmPtr,
      beamAPtr, beamBPtr, couplingsPtr);
    sigmaT[i]->initProc();
    sigmaU[i]->init( infoPtr, settingsPtr, particleDataPtr, rndmPtr,
      beamAPtr, beamBPtr, couplingsPtr);
    sigmaU[i]->initProc();

    // Prepare for massive kinematics (but fixed masses!) where required.
    needMasses[i] = false;
    int id3Mass =  sigmaT[i]->id3Mass();
    int id4Mass =  sigmaT[i]->id4Mass();
    m3Fix[i] = 0.;
    m4Fix[i] = 0.;
    if (id3Mass > 0 || id4Mass > 0) {
      needMasses[i] = true;
      m3Fix[i] =  particleDataPtr->m0(id3Mass);
      m4Fix[i] =  particleDataPtr->m0(id4Mass);
    }
    sHatMin[i] = pow2( m3Fix[i] + m4Fix[i] + MASSMARGIN);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Calculate cross section summed over possibilities.

double SigmaMultiparton::sigma( int id1, int id2, double x1, double x2,
  double sHat, double tHat, double uHat, double alpS, double alpEM,
  bool restore, bool pickOtherIn) {

  // Choose either the dominant process (in slot 0) or the rest of them.
  if (restore) pickOther = pickOtherIn;
  else         pickOther = (rndmPtr->flat() < OTHERFRAC);

  // Iterate over all subprocesses.
  sigmaTsum = 0.;
  sigmaUsum = 0.;
  for (int i = 0; i < nChan; ++i) {
    sigmaTval[i] = 0.;
    sigmaUval[i] = 0.;

    // Skip the not chosen processes.
    if (i == 0 && pickOther) continue;
    if (i > 0 && !pickOther) continue;

    // t-channel-sampling contribution.
    if (sHat > sHatMin[i]) {
      sigmaT[i]->set2KinMPI( x1, x2, sHat, tHat, uHat,
        alpS, alpEM, needMasses[i], m3Fix[i], m4Fix[i]);
      sigmaTval[i] = sigmaT[i]->sigmaHatWrap(id1, id2);
      sigmaT[i]->pickInState(id1, id2);
      // Correction factor for tHat rescaling in massive kinematics.
      if (needMasses[i]) sigmaTval[i] *= sigmaT[i]->sHBetaMPI() / sHat;
      sigmaTsum += sigmaTval[i];
    }
   
    // u-channel-sampling contribution.
    if (sHat > sHatMin[i]) {
      sigmaU[i]->set2KinMPI( x1, x2, sHat, uHat, tHat,
        alpS, alpEM, needMasses[i], m3Fix[i], m4Fix[i]);
      sigmaUval[i] = sigmaU[i]->sigmaHatWrap( id1, id2);
      sigmaU[i]->pickInState(id1, id2);
      // Correction factor for tHat rescaling in massive kinematics.
      if (needMasses[i]) sigmaUval[i] *= sigmaU[i]->sHBetaMPI() / sHat;
      sigmaUsum += sigmaUval[i];
    }

  // Average of t- and u-channel sampling; corrected for not selected channels.
  }
  double sigmaAvg = 0.5 * (sigmaTsum + sigmaUsum);
  if (pickOther) sigmaAvg /= OTHERFRAC;
  if (!pickOther) sigmaAvg /= (1. - OTHERFRAC);
  return sigmaAvg;

}

//--------------------------------------------------------------------------

// Return one subprocess, picked according to relative cross sections.

SigmaProcess* SigmaMultiparton::sigmaSel() {

  // Decide between t- and u-channel-sampled kinematics.
  pickedU = (rndmPtr->flat() * (sigmaTsum + sigmaUsum) < sigmaUsum);

  // Pick one of t-channel-sampled processes.
  if (!pickedU) {
    double sigmaRndm = sigmaTsum * rndmPtr->flat();
    int    iPick = -1;
    do     sigmaRndm -= sigmaTval[++iPick];
    while  (sigmaRndm > 0.);
    return sigmaT[iPick];

  // Pick one of u-channel-sampled processes.
  } else {
    double sigmaRndm = sigmaUsum * rndmPtr->flat();
    int    iPick = -1;
    do     sigmaRndm -= sigmaUval[++iPick];
    while  (sigmaRndm > 0.);
    return sigmaU[iPick];
  }

}

//==========================================================================

// The MultipartonInteractions class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Factorization scale pT2 by default, but could be shifted to pT2 + pT02.
// (A priori possible, but problems for flavour threshold interpretation.)
const bool   MultipartonInteractions::SHIFTFACSCALE = false;

// Pick one parton to represent rescattering cross section to speed up.
const bool   MultipartonInteractions::PREPICKRESCATTER = true;

// Naive upper estimate of cross section too pessimistic, so reduce by this.
const double MultipartonInteractions::SIGMAFUDGE    = 0.8;

// The r value above, picked to allow a flatter correct/trial cross section.
const double MultipartonInteractions::RPT20         = 0.25;

// Reduce pT0 by factor pT0STEP if sigmaInt < SIGMASTEP * sigmaND.
const double MultipartonInteractions::PT0STEP       = 0.9;
const double MultipartonInteractions::SIGMASTEP     = 1.1;

// Stop if pT0 or pTmin fall below this, or alpha_s blows up.
const double MultipartonInteractions::PT0MIN        = 0.2;

// Refuse too low expPow in impact parameter profile.
const double MultipartonInteractions::EXPPOWMIN     = 0.4;

// Define low-b region by interaction rate above given number.
const double MultipartonInteractions::PROBATLOWB    = 0.6;

// Basic step size for b integration; sometimes modified.
const double MultipartonInteractions::BSTEP         = 0.01;

// Stop b integration when integrand dropped enough.
const double MultipartonInteractions::BMAX          = 1e-8;

// Do not allow too large argument to exp function.
const double MultipartonInteractions::EXPMAX        = 50.;

// Convergence criterion for k iteration.
const double MultipartonInteractions::KCONVERGE     = 1e-7;

// Conversion of GeV^{-2} to mb for cross section.
const double MultipartonInteractions::CONVERT2MB    = 0.389380;

// Stay away from division by zero in Jacobian for tHat -> pT2.
const double MultipartonInteractions::ROOTMIN       = 0.01;

// No need to reinitialize parameters if energy close to previous.
const double MultipartonInteractions::ECMDEV        = 0.01;

// Settings for x-dependent matter profile:
// Number of bins in b (with these settings, no bStep increase and
// reintegration needed with a1 ~ 0.20 up to ECM ~ 40TeV).
const int    MultipartonInteractions::XDEP_BBIN     = 500;
// Initial value of a0.
const double MultipartonInteractions::XDEP_A0       = 1.0;
// Width of form ( XDEP_A1 + a1 * log(1 / x) ).
const double MultipartonInteractions::XDEP_A1       = 1.0;
// Initial step size in b and increment.
const double MultipartonInteractions::XDEP_BSTEP    = 0.02;
const double MultipartonInteractions::XDEP_BSTEPINC = 0.01;
// Overlap-weighted cross section in last bin of b must be beneath
// XDEP_CUTOFF * sigmaInt.
const double MultipartonInteractions::XDEP_CUTOFF   = 1e-4;
// a0 is calculated in units of sqrt(mb), so convert to fermi.
const double MultipartonInteractions::XDEP_SMB2FM   = sqrt(0.1);

// Only write warning when weight clearly above unity.
const double MultipartonInteractions::WTACCWARN     = 1.1;

//--------------------------------------------------------------------------

// Initialize the generation process for given beams.

bool MultipartonInteractions::init( bool doMPIinit, int iDiffSysIn,
  Info* infoPtrIn, Settings& settings, ParticleData* particleDataPtr,
  Rndm* rndmPtrIn, BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
  Couplings* couplingsPtrIn, PartonSystems* partonSystemsPtrIn,
  SigmaTotal* sigmaTotPtrIn, UserHooks* userHooksPtrIn, ostream& os) {

  // Store input pointers for future use. Done if no initialization.
  iDiffSys         = iDiffSysIn;
  infoPtr          = infoPtrIn;
  rndmPtr          = rndmPtrIn;
  beamAPtr         = beamAPtrIn;
  beamBPtr         = beamBPtrIn;
  couplingsPtr     = couplingsPtrIn;
  partonSystemsPtr = partonSystemsPtrIn;
  sigmaTotPtr      = sigmaTotPtrIn;
  userHooksPtr     = userHooksPtrIn;
  if (!doMPIinit) return false;

  // If both beams are baryons then softer PDF's than for mesons/Pomerons.
  hasBaryonBeams = ( beamAPtr->isBaryon() && beamBPtr->isBaryon() );

  // Matching in pT of hard interaction to further interactions.
  pTmaxMatch     = settings.mode("MultipartonInteractions:pTmaxMatch");

  //  Parameters of alphaStrong generation.
  alphaSvalue    = settings.parm("MultipartonInteractions:alphaSvalue");
  alphaSorder    = settings.mode("MultipartonInteractions:alphaSorder");
  alphaSnfmax    = settings.mode("StandardModel:alphaSnfmax");

  // Parameters of alphaEM generation.
  alphaEMorder   = settings.mode("MultipartonInteractions:alphaEMorder");

  //  Parameters of cross section generation.
  Kfactor        = settings.parm("MultipartonInteractions:Kfactor");

  // Regularization of QCD evolution for pT -> 0.
  pT0Ref         = settings.parm("MultipartonInteractions:pT0Ref");
  ecmRef         = settings.parm("MultipartonInteractions:ecmRef");
  ecmPow         = settings.parm("MultipartonInteractions:ecmPow");
  pTmin          = settings.parm("MultipartonInteractions:pTmin");

  // Impact parameter profile: nondiffractive topologies.
  if (iDiffSys == 0) {
    bProfile     = settings.mode("MultipartonInteractions:bProfile");
    coreRadius   = settings.parm("MultipartonInteractions:coreRadius");
    coreFraction = settings.parm("MultipartonInteractions:coreFraction");
    expPow       = settings.parm("MultipartonInteractions:expPow");
    expPow       = max(EXPPOWMIN, expPow);
    // x-dependent impact parameter profile.
    a1           = settings.parm("MultipartonInteractions:a1");

  // Impact parameter profile: diffractive topologies.
  } else {
    bProfile     = settings.mode("Diffraction:bProfile");
    coreRadius   = settings.parm("Diffraction:coreRadius");
    coreFraction = settings.parm("Diffraction:coreFraction");
    expPow       = settings.parm("Diffraction:expPow");
    expPow       = max(EXPPOWMIN, expPow);
  }

  // Common choice of "pT" scale for determining impact parameter.
  bSelScale      = settings.mode("MultipartonInteractions:bSelScale");

  // Process sets to include in machinery.
  processLevel   = settings.mode("MultipartonInteractions:processLevel");

  // Parameters of rescattering description.
  allowRescatter = settings.flag("MultipartonInteractions:allowRescatter");
  allowDoubleRes
    = settings.flag("MultipartonInteractions:allowDoubleRescatter");
  rescatterMode  = settings.mode("MultipartonInteractions:rescatterMode");
  ySepResc       = settings.parm("MultipartonInteractions:ySepRescatter");
  deltaYResc     = settings.parm("MultipartonInteractions:deltaYRescatter");

  // Rescattering not yet implemented for x-dependent impact profile.
  if (bProfile == 4) allowRescatter = false;

  // A global recoil FSR stategy restricts rescattering.
  globalRecoilFSR     = settings.flag("TimeShower:globalRecoil");
  nMaxGlobalRecoilFSR = settings.mode("TimeShower:nMaxGlobalRecoil");

  // Various other parameters.
  nQuarkIn       = settings.mode("MultipartonInteractions:nQuarkIn");
  nSample        = settings.mode("MultipartonInteractions:nSample");

  // Optional dampening at small pT's when large multiplicities.
  enhanceScreening = settings.mode("MultipartonInteractions:enhanceScreening");

  // Parameters for diffractive systems.
  sigmaPomP      = settings.parm("Diffraction:sigmaRefPomP");
  mPomP          = settings.parm("Diffraction:mRefPomP");
  pPomP          = settings.parm("Diffraction:mPowPomP");
  mMinPertDiff   = settings.parm("Diffraction:mMinPert");

  // Possibility to allow user veto of MPI
  canVetoMPI = (userHooksPtr != 0) ? userHooksPtr->canVetoMPIEmission()
             : false;

  // Some common combinations for double Gaussian, as shorthand.
  if (bProfile == 2) {
    fracA        = pow2(1. - coreFraction);
    fracB        = 2. * coreFraction * (1. - coreFraction);
    fracC        = pow2(coreFraction);
    radius2B     = 0.5 * (1. + pow2(coreRadius));
    radius2C     = pow2(coreRadius);

  // Some common combinations for exp(b^pow), as shorthand.
  } else if (bProfile == 3) {
    hasLowPow    = (expPow < 2.);
    expRev       = 2. / expPow - 1.;
  }

  // Initialize alpha_strong generation.
  alphaS.init( alphaSvalue, alphaSorder, alphaSnfmax, false);
  double Lambda3 = alphaS.Lambda3();

  // Initialize alphaEM generation.
  alphaEM.init( alphaEMorder, &settings);

  // Attach matrix-element calculation objects.
  sigma2gg.init( 0, processLevel, infoPtr, &settings, particleDataPtr,
    rndmPtr, beamAPtr, beamBPtr, couplingsPtr);
  sigma2qg.init( 1, processLevel, infoPtr, &settings, particleDataPtr,
    rndmPtr, beamAPtr, beamBPtr, couplingsPtr);
  sigma2qqbarSame.init( 2, processLevel, infoPtr, &settings, particleDataPtr,
    rndmPtr, beamAPtr, beamBPtr, couplingsPtr);
  sigma2qq.init( 3, processLevel, infoPtr, &settings, particleDataPtr,
    rndmPtr,  beamAPtr, beamBPtr, couplingsPtr);

  // Calculate invariant mass of system.
  eCM          = infoPtr->eCM();
  sCM          = eCM * eCM;
  mMaxPertDiff = eCM;
  eCMsave      = eCM;

  // Get the total inelastic and nondiffractive cross section.
  if (!sigmaTotPtr->hasSigmaTot()) return false;
  bool isNonDiff = (iDiffSys == 0);
  sigmaND = sigmaTotPtr->sigmaND();
  double sigmaMaxViol = 0.;

  // Output initialization info - first part.
  bool showMPI = settings.flag("Init:showMultipartonInteractions");
  if (showMPI) {
    os << "\n *-------  PYTHIA Multiparton Interactions Initialization  "
       << "---------* \n"
       << " |                                                        "
       << "          | \n";
    if (isNonDiff)
      os << " |                   sigmaNonDiffractive = " << fixed
         << setprecision(2) << setw(7) << sigmaND << " mb               | \n";
    else if (iDiffSys == 1)
      os << " |                          diffraction XB                "
         << "          | \n";
    else if (iDiffSys == 2)
      os << " |                          diffraction AX                "
         << "          | \n";
    else if (iDiffSys == 3)
      os << " |                          diffraction AXB               "
         << "          | \n";
    os << " |                                                        "
       << "          | \n";
  }

  // For diffraction need to cover range of diffractive masses.
  nStep     = (iDiffSys == 0) ? 1 : 5;
  eStepSize = (nStep < 2) ? 1.
            : log(mMaxPertDiff / mMinPertDiff) / (nStep - 1.);
  for (int iStep = 0; iStep < nStep; ++iStep) {

    // Update and output current diffractive mass and
    // fictitious Pomeron-proton cross section for normalization.
    if (nStep > 1) {
      eCM = mMinPertDiff * pow( mMaxPertDiff / mMinPertDiff,
            iStep / (nStep - 1.) );
      sCM = eCM * eCM;
      sigmaND = sigmaPomP * pow( eCM / mPomP, pPomP);
      if (showMPI) os << " |    diffractive mass = " << scientific
        << setprecision(3) << setw(9) << eCM << " GeV and sigmaNorm = "
        << fixed << setw(6) << sigmaND << " mb    | \n";
    }

    // Set current pT0 scale.
    pT0 = pT0Ref * pow(eCM / ecmRef, ecmPow);

    // The pT0 value may need to be decreased, if sigmaInt < sigmaND.
    double pT4dSigmaMaxBeg = 0.;
    for ( ; ; ) {

      // Derived pT kinematics combinations.
      pT20         = pT0*pT0;
      pT2min       = pTmin*pTmin;
      pTmax        = 0.5*eCM;
      pT2max       = pTmax*pTmax;
      pT20R        = RPT20 * pT20;
      pT20minR     = pT2min + pT20R;
      pT20maxR     = pT2max + pT20R;
      pT20min0maxR = pT20minR * pT20maxR;
      pT2maxmin    = pT2max - pT2min;

      // Provide upper estimate of interaction rate d(Prob)/d(pT2).
      upperEnvelope();

      // Setup binning in b for x-dependent matter profile.
      if (bProfile == 4) {
        sigmaIntWgt.resize(XDEP_BBIN);
        sigmaSumWgt.resize(XDEP_BBIN);
        bstepNow = XDEP_BSTEP;
      }

      // Integrate the parton-parton interaction cross section.
      pT4dSigmaMaxBeg = pT4dSigmaMax;
      jetCrossSection();

      // If the overlap-weighted cross section has not fallen below
      // cutoff, then increase bin size in b and reintegrate.
      while (bProfile == 4
        && sigmaIntWgt[XDEP_BBIN - 1] > XDEP_CUTOFF * sigmaInt) {
        bstepNow += XDEP_BSTEPINC;
        jetCrossSection();
      }

      // Sufficiently big SigmaInt or reduce pT0; maybe also pTmin.
      if (sigmaInt > SIGMASTEP * sigmaND) break;
      if (showMPI) os << fixed << setprecision(2) << " |    pT0 = "
        << setw(5) << pT0 << " gives sigmaInteraction = " << setw(7)
        << sigmaInt << " mb: rejected     | \n";
      if (pTmin > pT0) pTmin *= PT0STEP;
      pT0 *= PT0STEP;

      // Give up if pT0 and pTmin fall too low.
      if ( max(pT0, pTmin) < max(PT0MIN, Lambda3) ) {
        infoPtr->errorMsg("Error in MultipartonInteractions::init:"
          " failed to find acceptable pT0 and pTmin");
        infoPtr->setTooLowPTmin(true);
        return false;
      }
    }

    // Output for accepted pT0.
    if (showMPI) os << fixed << setprecision(2) << " |    pT0 = "
      << setw(5) << pT0 << " gives sigmaInteraction = "<< setw(7)
      << sigmaInt << " mb: accepted     | \n";

    // Calculate factor relating matter overlap and interaction rate.
    overlapInit();

    // Maximum violation relative to first estimate.
    sigmaMaxViol = max( sigmaMaxViol, pT4dSigmaMax / pT4dSigmaMaxBeg);

    // Save values calculated.
    if (nStep > 1) {
      pT0Save[iStep]          = pT0;
      pT4dSigmaMaxSave[iStep] = pT4dSigmaMax;
      pT4dProbMaxSave[iStep]  = pT4dProbMax;
      sigmaIntSave[iStep]     = sigmaInt;
      for (int j = 0; j <= 100; ++j) sudExpPTSave[iStep][j] = sudExpPT[j];
      zeroIntCorrSave[iStep]  = zeroIntCorr;
      normOverlapSave[iStep]  = normOverlap;
      kNowSave[iStep]         = kNow;
      bAvgSave[iStep]         = bAvg;
      bDivSave[iStep]         = bDiv;
      probLowBSave[iStep]     = probLowB;
      fracAhighSave[iStep]    = fracAhigh;
      fracBhighSave[iStep]    = fracBhigh;
      fracChighSave[iStep]    = fracBhigh;
      fracABChighSave[iStep]  = fracABChigh;
      cDivSave[iStep]         = cDiv;
      cMaxSave[iStep]         = cMax;
   }

  // End of loop over diffractive masses.
  }

  // Output details for x-dependent matter profile.
  if (bProfile == 4 && showMPI)
    os << " |                                              "
       << "                    | \n"
       << fixed << setprecision(2)
       << " |  x-dependent matter profile: a1 = " << a1 << ", "
       << "a0 = " << a0now * XDEP_SMB2FM << ", bStep = "
       << bstepNow << "  | \n";

  // End initialization printout.
  if (showMPI) os << " |                                              "
     << "                    | \n"
     << " *-------  End PYTHIA Multiparton Interactions Initialization"
     << "  -----* " << endl;

  // Amount of violation from upperEnvelope to jetCrossSection.
  if (sigmaMaxViol > 1.) {
    ostringstream osWarn;
    osWarn << "by factor " << fixed << setprecision(3) << sigmaMaxViol;
    infoPtr->errorMsg("Warning in MultipartonInteractions::init:"
      " maximum increased", osWarn.str());
  }

  // Reset statistics.
  SigmaMultiparton* dSigma;
  for (int i = 0; i < 4; ++i) {
    if      (i == 0) dSigma = &sigma2gg;
    else if (i == 1) dSigma = &sigma2qg;
    else if (i == 2) dSigma = &sigma2qqbarSame;
    else             dSigma = &sigma2qq;
    int nProc = dSigma->nProc();
    for (int iProc = 0; iProc < nProc; ++iProc)
      nGen[ dSigma->codeProc(iProc) ] = 0;
  }

  // Additional setup for x-dependent matter profile.
  if (bProfile == 4) {
    sigmaIntWgt.clear();
    sigmaSumWgt.clear();
  }
  // No preselection of sea/valence content and initialise a0.
  vsc1 = 0;
  vsc2 = 0;

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Reset impact parameter choice and update the CM energy.
// For diffraction also interpolate parameters to current CM energy.

void MultipartonInteractions::reset( ) {

  // Reset impact parameter choice.
  bIsSet      = false;
  bSetInFirst = false;

  // Update CM energy. Done if not diffraction and not new energy.
  eCM = infoPtr->eCM();
  sCM = eCM * eCM;
  if (nStep == 1 || abs( eCM / eCMsave - 1.) < ECMDEV) return;

  // Set fictitious Pomeron-proton cross section for diffractive system.
  sigmaND = sigmaPomP * pow( eCM / mPomP, pPomP);

  // Current interpolation point.
  eCMsave   = eCM;
  eStepSave = log(eCM / mMinPertDiff) / eStepSize;
  iStepFrom = max( 0, min( nStep - 2, int( eStepSave) ) );
  iStepTo   = iStepFrom + 1;
  eStepTo   = max( 0., min( 1., eStepSave - iStepFrom) );
  eStepFrom = 1. - eStepTo;

  // Update pT0 and combinations derived from it.
  pT0           = eStepFrom * pT0Save[iStepFrom]
                + eStepTo   * pT0Save[iStepTo];
  pT20          = pT0*pT0;
  pT2min        = pTmin*pTmin;
  pTmax         = 0.5*eCM;
  pT2max        = pTmax*pTmax;
  pT20R         = RPT20 * pT20;
  pT20minR      = pT2min + pT20R;
  pT20maxR      = pT2max + pT20R;
  pT20min0maxR  = pT20minR * pT20maxR;
  pT2maxmin     = pT2max - pT2min;

  // Update other parameters used in pT choice.
  pT4dSigmaMax  = eStepFrom * pT4dSigmaMaxSave[iStepFrom]
                + eStepTo   * pT4dSigmaMaxSave[iStepTo];
  pT4dProbMax   = eStepFrom * pT4dProbMaxSave[iStepFrom]
                + eStepTo   * pT4dProbMaxSave[iStepTo];
  sigmaInt      = eStepFrom * sigmaIntSave[iStepFrom]
                + eStepTo   * sigmaIntSave[iStepTo];
  for (int j = 0; j <= 100; ++j)
    sudExpPT[j] = eStepFrom * sudExpPTSave[iStepFrom][j]
                + eStepTo   * sudExpPTSave[iStepTo][j];

  // Update parameters related to the impact-parameter picture.
  zeroIntCorr   = eStepFrom * zeroIntCorrSave[iStepFrom]
                + eStepTo   * zeroIntCorrSave[iStepTo];
  normOverlap   = eStepFrom * normOverlapSave[iStepFrom]
                + eStepTo   * normOverlapSave[iStepTo];
  kNow          = eStepFrom * kNowSave[iStepFrom]
                + eStepTo   * kNowSave[iStepTo];
  bAvg          = eStepFrom * bAvgSave[iStepFrom]
                + eStepTo   * bAvgSave[iStepTo];
  bDiv          = eStepFrom * bDivSave[iStepFrom]
                + eStepTo   * bDivSave[iStepTo];
  probLowB      = eStepFrom * probLowBSave[iStepFrom]
                + eStepTo   * probLowBSave[iStepTo];
  fracAhigh     = eStepFrom * fracAhighSave[iStepFrom]
                + eStepTo   * fracAhighSave[iStepTo];
  fracBhigh     = eStepFrom * fracBhighSave[iStepFrom]
                + eStepTo   * fracBhighSave[iStepTo];
  fracChigh     = eStepFrom * fracChighSave[iStepFrom]
                + eStepTo   * fracChighSave[iStepTo];
  fracABChigh   = eStepFrom * fracABChighSave[iStepFrom]
                + eStepTo   * fracABChighSave[iStepTo];
  cDiv          = eStepFrom * cDivSave[iStepFrom]
                + eStepTo   * cDivSave[iStepTo];
  cMax          = eStepFrom * cMaxSave[iStepFrom]
                + eStepTo   * cMaxSave[iStepTo];

}

//--------------------------------------------------------------------------

// Select first = hardest pT in nondiffractive process.
// Requires separate treatment at low and high b values.

void MultipartonInteractions::pTfirst() {

  // Pick impact parameter and thereby interaction rate enhancement.
  // This is not used for the x-dependent matter profile, which
  // instead uses trial interactions.
  if (bProfile == 4) isAtLowB = false;
  else               overlapFirst();
  bSetInFirst = true;
  double WTacc;

  // At low b values evolve downwards with Sudakov.
  if (isAtLowB) {
    pT2 = pT2max;
    do {

      // Pick a pT using a quick-and-dirty cross section estimate.
      pT2 = fastPT2(pT2);

      // If fallen below lower cutoff then need to restart at top.
      if (pT2 < pT2min) {
        pT2 = pT2max;
        WTacc = 0.;

      // Else pick complete kinematics and evaluate cross-section correction.
      } else {
        WTacc = sigmaPT2scatter(true) / dSigmaApprox;
        if (WTacc > WTACCWARN) infoPtr->errorMsg("Warning in "
            "MultipartonInteractions::pTfirst: weight above unity");
      }
    
    // Loop until acceptable pT and acceptable kinematics.
    } while (WTacc < rndmPtr->flat() || !dSigmaDtSel->final2KinMPI());

  // At high b values make preliminary pT choice without Sudakov factor.
  } else {

    while (true) {
      do {
        pT2 = pT20min0maxR / (pT20minR + rndmPtr->flat() * pT2maxmin) - pT20R;
  
        // Evaluate upper estimate of cross section for this pT2 choice.
        dSigmaApprox = pT4dSigmaMax / pow2(pT2 + pT20R);
  
        // Pick complete kinematics and evaluate cross-section correction.
        WTacc = sigmaPT2scatter(true) / dSigmaApprox;
  
        // Evaluate and include Sudakov factor.
        if (bProfile != 4) WTacc *= sudakov( pT2, enhanceB);
      
        // Warn for weight above unity
        if (WTacc > WTACCWARN) infoPtr->errorMsg("Warning in "
            "MultipartonInteractions::pTfirst: weight above unity");

      // Loop until acceptable pT and acceptable kinematics.
      } while (WTacc < rndmPtr->flat() || !dSigmaDtSel->final2KinMPI());

      // For x-dependent matter profile, use trial interactions to
      // generate Sudakov, otherwise done.
      if (bProfile != 4) break;
      else {
        // Save details of the original hard interaction.
        pT2Save      = pT2;
        id1Save      = id1;
        id2Save      = id2;
        x1Save       = x1;
        x2Save       = x2;
        sHatSave     = sHat;
        tHatSave     = tHat;
        uHatSave     = uHat;
        alpSsave     = alpS;
        alpEMsave    = alpEM;
        pT2FacSave   = pT2Fac;
        pT2RenSave   = pT2Ren;
        xPDF1nowSave = xPDF1now;
        xPDF2nowSave = xPDF2now;
        // Save accepted kinematics and pointer to SigmaProcess.
        dSigmaDtSel->saveKin();
        dSigmaDtSelSave = dSigmaDtSel;
       
        // Put x1, x2 information into beam pointers to get correct
        // PDF rescaling in trial interaction (for hard process, can
        // be sea or valence, not companion).
        beamAPtr->append( 0, id1, x1);
        beamAPtr->xfISR( 0, id1, x1, pT2Fac * pT2Fac);
        vsc1 = beamAPtr->pickValSeaComp();
        beamBPtr->append( 0, id2, x2);
        beamBPtr->xfISR( 0, id2, x2, pT2Fac * pT2Fac);
        vsc2 = beamBPtr->pickValSeaComp();

        // Pick b according to O(b, x1, x2).
        double w1    = XDEP_A1 + a1 * log(1. / x1);
        double w2    = XDEP_A1 + a1 * log(1. / x2);
        double fac   = a02now * (w1 * w1 + w2 * w2);
        double expb2 = rndmPtr->flat();
        b2now  = - fac * log(expb2);
        bNow   = sqrt(b2now);
      
        // Enhancement factor for the hard process and overestimate
        // for fastPT2. Note that existing framework has a (1. / sigmaND)
        // present.
        enhanceB    = sigmaND / M_PI / fac * expb2;
        enhanceBmax = sigmaND / 2. / M_PI / a02now *
                      exp( -b2now / 2. / a2max );

        // Trial interaction with dummy event.
        Event evDummy;
        double pTtrial = pTnext(pTmax, pTmin, evDummy);
  
        // Restore beams.
        beamAPtr->clear();
        beamBPtr->clear();

        // Accept if fallen beneath factorisation scale.
        if (pTtrial < sqrt(pT2FacSave)) {
          // Restore previous values and original sigma.
          swap(pT2,      pT2Save);
          swap(pT2Fac,   pT2FacSave);
          swap(pT2Ren,   pT2RenSave);
          swap(id1,      id1Save);
          swap(id2,      id2Save);
          swap(x1,       x1Save);
          swap(x2,       x2Save);
          swap(sHat,     sHatSave);
          swap(tHat,     tHatSave);
          swap(uHat,     uHatSave);
          swap(alpS,     alpSsave);
          swap(alpEM,    alpEMsave);
          swap(xPDF1now, xPDF1nowSave);
          swap(xPDF2now, xPDF2nowSave);
          if (dSigmaDtSel == dSigmaDtSelSave) dSigmaDtSel->swapKin();
          else swap(dSigmaDtSel, dSigmaDtSelSave);

          // Accept.
          bIsSet = true;
          break;
        }
      } // if (bProfile == 4)
    } // while (true)

  // End handling for high b.
  }
  
}

//--------------------------------------------------------------------------

// Set up kinematics for first = hardest pT in nondiffractive process.

void MultipartonInteractions::setupFirstSys( Event& process) {

  // Last beam-status particles. Offset relative to normal beam locations.
  int sizeProc = process.size();
  int nBeams   = 3;
  for (int i = 3; i < sizeProc; ++i)
    if (process[i].statusAbs() < 20) nBeams = i + 1;
  int nOffset  = nBeams - 3;

  // Remove any partons of previous failed interactions.
  if (sizeProc > nBeams) {
    process.popBack( sizeProc - nBeams);
    process.initColTag();
  }

  // Entries 3 and 4, now to be added, come from 1 and 2.
  process[1 + nOffset].daughter1(3 + nOffset);
  process[2 + nOffset].daughter1(4 + nOffset);

  // Negate beam status, if not already done. (Case with offset beams.)
  process[1 + nOffset].statusNeg();
  process[2 + nOffset].statusNeg();

  // Loop over four partons and offset info relative to subprocess itself.
  int colOffset = process.lastColTag();
  for (int i = 1; i <= 4; ++i) {
    Particle parton = dSigmaDtSel->getParton(i);
    if (i <= 2) parton.status(-21);
    else        parton.status(23);
    if (i <= 2) parton.mothers( i + nOffset, 0);
    else        parton.mothers( 3 + nOffset, 4 + nOffset);
    if (i <= 2) parton.daughters( 5 + nOffset, 6 + nOffset);
    else        parton.daughters( 0, 0);
    int col = parton.col();
    if (col > 0) parton.col( col + colOffset);
    int acol = parton.acol();
    if (acol > 0) parton.acol( acol + colOffset);

    // Put the partons into the event record.
    process.append(parton);
  }

  // Set scale from which to begin evolution.
  process.scale(  sqrt(pT2Fac) );

  // Info on subprocess - specific to mimimum-bias events.
  string nameSub = dSigmaDtSel->name();
  int codeSub    = dSigmaDtSel->code();
  int nFinalSub  = dSigmaDtSel->nFinal();
  double pTMPI   = dSigmaDtSel->pTMPIFin();
  infoPtr->setSubType( iDiffSys, nameSub, codeSub, nFinalSub);
  if (iDiffSys == 0) infoPtr->setTypeMPI( codeSub, pTMPI, 0, 0,
    enhanceB / zeroIntCorr);

  // Further standard info on process.
  infoPtr->setPDFalpha( iDiffSys, id1, id2, x1, x2, xPDF1now, xPDF2now,
    pT2Fac, alpEM, alpS, pT2Ren, 0.);
  double m3    = dSigmaDtSel->m(3);
  double m4    = dSigmaDtSel->m(4);
  double theta = dSigmaDtSel->thetaMPI();
  double phi   = dSigmaDtSel->phiMPI();
  infoPtr->setKin( iDiffSys, id1, id2, x1, x2, sHat, tHat, uHat, sqrt(pT2),
    m3, m4, theta, phi);

}

//--------------------------------------------------------------------------

// Find whether to limit maximum scale of emissions.

bool MultipartonInteractions::limitPTmax( Event& event) {

  // User-set cases.
  if (pTmaxMatch == 1) return true;
  if (pTmaxMatch == 2) return false;

  // Always restrict SoftQCD processes.
  if (infoPtr->isNonDiffractive() || infoPtr->isDiffractiveA()
    || infoPtr->isDiffractiveB() || infoPtr->isDiffractiveC() ) return true;

  // Look if only quarks (u, d, s, c, b), gluons and photons in final state.
  bool onlyQGP1 = true;
  bool onlyQGP2 = true;
  int  n21      = 0;
  for (int i = 5; i < event.size(); ++i) {
    if (event[i].status() == -21) ++n21;
    else if (n21 == 0) {
      int idAbs = event[i].idAbs();
      if (idAbs > 5 && idAbs != 21 && idAbs != 22) onlyQGP1 = false;
    } else if (n21 == 2) {
      int idAbs = event[i].idAbs();
      if (idAbs > 5 && idAbs != 21 && idAbs != 22) onlyQGP2 = false;
    }
  }

  // If two hard interactions then limit if one only contains q/g/gamma.
  bool onlyQGP = (n21 == 2) ? (onlyQGP1 || onlyQGP2) : onlyQGP1;
  return (onlyQGP);
 
}

//--------------------------------------------------------------------------

// Select next pT in downwards evolution.

double MultipartonInteractions::pTnext( double pTbegAll, double pTendAll,
  Event& event) {

  // Initial values.
  bool   pickRescatter, acceptKin;
  double dSigmaScatter, dSigmaRescatter, WTacc;
  double pT2end = pow2( max(pTmin, pTendAll) );

  // With the x-dependent matter profile, and minimum bias or diffraction,
  // it is possible to reuse values that have been stored during the trial 
  // interactions for a slight speedup. 
  // bIsSet is false during trial interactions, counter 21 in case partonLevel 
  // is retried and counter 22 for the first pass through partonLevel.
  if (bProfile == 4 && bIsSet && bSetInFirst && infoPtr->getCounter(21) == 1
    && infoPtr->getCounter(22) == 1) {
    if (pT2Save < pT2end) return 0.;
    pT2      = pT2Save;
    pT2Fac   = pT2FacSave;
    pT2Ren   = pT2RenSave;
    id1      = id1Save;
    id2      = id2Save;
    x1       = x1Save;
    x2       = x2Save;
    sHat     = sHatSave;
    tHat     = tHatSave;
    uHat     = uHatSave;
    alpS     = alpSsave;
    alpEM    = alpEMsave;
    xPDF1now = xPDF1nowSave;
    xPDF2now = xPDF2nowSave;
    if (dSigmaDtSel == dSigmaDtSelSave) dSigmaDtSel->swapKin();
    else dSigmaDtSel = dSigmaDtSelSave;
    return sqrt(pT2);
  }

  // Do not allow rescattering while still FSR with global recoil.
  bool allowRescatterNow = allowRescatter;
  if (globalRecoilFSR && partonSystemsPtr->sizeOut(0) <= nMaxGlobalRecoilFSR)
    allowRescatterNow = false;

  // Initial pT2 value.
  pT2 = pow2(pTbegAll);

  // Find the set of already scattered partons on the two sides.
  if (allowRescatterNow) findScatteredPartons( event);

  // Pick a pT2 using a quick-and-dirty cross section estimate.
  do {
    do {
      pT2 = fastPT2(pT2);
      if (pT2 < pT2end) return 0.;

      // Initial values: no rescattering.
      i1Sel           = 0;
      i2Sel           = 0;
      dSigmaSum       = 0.;
      pickRescatter   = false;

      // Pick complete kinematics and evaluate interaction cross-section.
      dSigmaScatter   = sigmaPT2scatter(false);

      // Also cross section from rescattering if allowed.
      dSigmaRescatter = (allowRescatterNow) ? sigmaPT2rescatter( event) : 0.;

      // Normalize to dSigmaApprox, which was set in fastPT2 above.
      WTacc = (dSigmaScatter + dSigmaRescatter) / dSigmaApprox;
      if (WTacc > WTACCWARN) infoPtr->errorMsg("Warning in "
        "MultipartonInteractions::pTnext: weight above unity");

      // Idea suggested by Gosta Gustafson: increased screening in events
      // with large activity can be simulated by pT0_eff = sqrt(n) * pT0.
      if (enhanceScreening > 0) {
        int nSysNow     = infoPtr->nMPI() + 1;
        if (enhanceScreening == 2) nSysNow += infoPtr->nISR();
        double WTscreen = pow2( (pT2 + pT20) / (pT2 + nSysNow * pT20) );
        WTacc          *= WTscreen;
      }

      // x-dependent matter profile overlap weighting.
      if (bProfile == 4) {
        double w1   = XDEP_A1 + a1 * log(1. / x1);
        double w2   = XDEP_A1 + a1 * log(1. / x2);
        double fac  = a02now * (w1 * w1 + w2 * w2);
        // Correct enhancement factor and weight
        enhanceBnow = sigmaND / M_PI / fac * exp( - b2now / fac);
        double oWgt = enhanceBnow / enhanceBmax;
        if (oWgt > 1.0000000001) infoPtr->errorMsg("Warning in Multiparton"
          "Interactions::pTnext: overlap weight above unity");
        WTacc *= oWgt;
      }

      // Decide whether to keep the event based on weight.
    } while (WTacc < rndmPtr->flat());

    // When rescattering possible: new interaction or rescattering?
    if (allowRescatterNow) {
      pickRescatter = (i1Sel > 0 || i2Sel > 0);

      // Restore kinematics for selected scattering/rescattering.
      id1      = id1Sel;
      id2      = id2Sel;
      x1       = x1Sel;
      x2       = x2Sel;
      sHat     = sHatSel;
      tHat     = tHatSel;
      uHat     = uHatSel;
      sigma2Sel->sigma( id1, id2, x1, x2, sHat, tHat, uHat, alpS, alpEM,
        true, pickOtherSel);
    }

    // Pick one of the possible channels summed above.
    dSigmaDtSel = sigma2Sel->sigmaSel();
    if (sigma2Sel->swapTU()) swap( tHat, uHat);

    // Decide to keep event based on kinematics (normally always OK).
    // Rescattering: need to provide incoming four-vectors and masses.
    if (pickRescatter) {
      Vec4 p1Res = (i1Sel == 0) ? 0.5 * eCM * x1Sel * Vec4( 0., 0.,  1., 1.)
                                 : event[i1Sel].p();
      Vec4 p2Res = (i2Sel == 0) ? 0.5 * eCM * x2Sel * Vec4( 0., 0., -1., 1.)
                                   : event[i2Sel].p();
      double m1Res = (i1Sel == 0) ? 0. :  event[i1Sel].m();
      double m2Res = (i2Sel == 0) ? 0. :  event[i2Sel].m();
      acceptKin = dSigmaDtSel->final2KinMPI( i1Sel, i2Sel, p1Res, p2Res,
        m1Res, m2Res);
    // New interaction: already stored values enough.
    } else acceptKin = dSigmaDtSel->final2KinMPI();
  } while (!acceptKin);

  // Done.
  return sqrt(pT2);

}

//--------------------------------------------------------------------------

// Set up the kinematics of the 2 -> 2 scattering process,
// and store the scattering in the event record.

bool MultipartonInteractions::scatter( Event& event) {

  // Last beam-status particles. Offset relative to normal beam locations.
  int sizeProc = event.size();
  int nBeams   = 3;
  for (int i = 3; i < sizeProc; ++i)
    if (event[i].statusAbs() < 20) nBeams = i + 1;
  int nOffset  = nBeams - 3;

  // Loop over four partons and offset info relative to subprocess itself.
  int motherOffset = event.size();
  int colOffset = event.lastColTag();
  for (int i = 1; i <= 4; ++i) {
    Particle parton = dSigmaDtSel->getParton(i);
    if (i <= 2 ) parton.mothers( i + nOffset, 0);
    else parton.mothers( motherOffset, motherOffset + 1);
    if (i <= 2 ) parton.daughters( motherOffset + 2, motherOffset + 3);
    else parton.daughters( 0, 0);
    int col = parton.col();
    if (col > 0) parton.col( col + colOffset);
    int acol = parton.acol();
    if (acol > 0) parton.acol( acol + colOffset);

    // Put the partons into the event record.
    event.append(parton);
  }

  // Allow veto of MPI. If so restore event record to before scatter.
  if (canVetoMPI && userHooksPtr->doVetoMPIEmission(sizeProc, event)) {
    event.popBack(event.size() - sizeProc);
    return false;
  }

  // Store participating partons as a new set in list of all systems.
  int iSys = partonSystemsPtr->addSys();
  partonSystemsPtr->setInA(iSys, motherOffset);
  partonSystemsPtr->setInB(iSys, motherOffset + 1);
  partonSystemsPtr->addOut(iSys, motherOffset + 2);
  partonSystemsPtr->addOut(iSys, motherOffset + 3);
  partonSystemsPtr->setSHat(iSys, sHat);

  // Tag double rescattering graphs that annihilate one initial colour.
  bool annihil1 = false;
  bool annihil2 = false;
  if (i1Sel > 0 && i2Sel > 0) {
    if (event[motherOffset].col() == event[motherOffset + 1].acol()
      && event[motherOffset].col() > 0) annihil1 = true;
    if (event[motherOffset].acol() == event[motherOffset + 1].col()
      && event[motherOffset].acol() > 0) annihil2 = true;
  }

  // Beam remnant A: add scattered partons to list.
  BeamParticle& beamA = *beamAPtr;
  int iA = beamA.append( motherOffset, id1, x1);

  // Find whether incoming partons are valence or sea, so prepared for ISR.
  if (i1Sel == 0) {
    beamA.xfISR( iA, id1, x1, pT2);
    beamA.pickValSeaComp();

  // Remove rescattered parton from final state and change history.
  // Propagate existing colour labels throught graph.
  } else {
    beamA[iA].companion(-10);
    event[i1Sel].statusNeg();
    event[i1Sel].daughters( motherOffset, motherOffset);
    event[motherOffset].mothers( i1Sel, i1Sel);
    int colOld = event[i1Sel].col();
    if (colOld > 0) {
      int colNew = event[motherOffset].col();
      for (int i = motherOffset; i < motherOffset + 4; ++i) {
        if (event[i].col() == colNew) event[i].col( colOld);
        if (event[i].acol() == colNew) event[i].acol( colOld);
      }
    }
    int acolOld = event[i1Sel].acol();
    if (acolOld > 0) {
      int acolNew = event[motherOffset].acol();
      for (int i = motherOffset; i < motherOffset + 4; ++i) {
        if (event[i].col() == acolNew) event[i].col( acolOld);
        if (event[i].acol() == acolNew) event[i].acol( acolOld);
      }
    }
  }

  // Beam remnant B: add scattered partons to list.
  BeamParticle& beamB = *beamBPtr;
  int iB = beamB.append( motherOffset + 1, id2, x2);

  // Find whether incoming partons are valence or sea, so prepared for ISR.
  if (i2Sel == 0) {
    beamB.xfISR( iB, id2, x2, pT2);
    beamB.pickValSeaComp();

  // Remove rescattered parton from final state and change history.
  // Propagate existing colour labels throught graph.
  } else {
    beamB[iB].companion(-10);
    event[i2Sel].statusNeg();
    event[i2Sel].daughters( motherOffset + 1, motherOffset + 1);
    event[motherOffset + 1].mothers( i2Sel, i2Sel);
    int colOld = event[i2Sel].col();
    if (colOld > 0) {
      int colNew = event[motherOffset + 1].col();
      for (int i = motherOffset; i < motherOffset + 4; ++i) {
        if (event[i].col() == colNew) event[i].col( colOld);
        if (event[i].acol() == colNew) event[i].acol( colOld);
      }
    }
    int acolOld = event[i2Sel].acol();
    if (acolOld > 0) {
      int acolNew = event[motherOffset + 1].acol();
      for (int i = motherOffset; i < motherOffset + 4; ++i) {
        if (event[i].col() == acolNew) event[i].col( acolOld);
        if (event[i].acol() == acolNew) event[i].acol( acolOld);
      }
    }
  }

  // Annihilating colour in double rescattering requires relabelling
  // of one colour into the other in the whole preceding event.
  if (annihil1 || annihil2) {
    int colLeft = (annihil1) ? event[motherOffset].col()
                : event[motherOffset].acol();
    int mother1 = event[motherOffset].mother1();
    int mother2 = event[motherOffset + 1].mother1();
    int colLost = (annihil1)
                ? event[mother1].col() + event[mother2].acol() - colLeft
                : event[mother1].acol() + event[mother2].col() - colLeft;
    for (int i = 0; i < motherOffset; ++i) {
      if (event[i].col()  == colLost) event[i].col(  colLeft );
      if (event[i].acol() == colLost) event[i].acol( colLeft );
    }
  }

  // Store info on subprocess code and rescattered partons.
  int    codeMPI = dSigmaDtSel->code();
  double pTMPI   = dSigmaDtSel->pTMPIFin();
  if (iDiffSys == 0) infoPtr->setTypeMPI( codeMPI, pTMPI, i1Sel, i2Sel,
    enhanceBnow / zeroIntCorr);
  partonSystemsPtr->setPTHat(iSys, pTMPI);

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Determine constant in d(Prob)/d(pT2) < const / (pT2 + r * pT20)^2.

void MultipartonInteractions::upperEnvelope() {

  // Initially determine constant in jet cross section upper estimate
  // d(sigma_approx)/d(pT2) < const / (pT2 + r * pT20)^2.
  pT4dSigmaMax = 0.;
  
  // Loop thorough allowed pT range logarithmically evenly.
  for (int iPT = 0; iPT < 100; ++iPT) {
    double pT = pTmin * pow( pTmax/pTmin, 0.01 * (iPT + 0.5) );
    pT2       = pT*pT;
    pT2shift  = pT2 + pT20;
    pT2Ren    = pT2shift;
    pT2Fac    = (SHIFTFACSCALE) ? pT2shift : pT2;
    xT        = 2. * pT / eCM;

    // Evaluate parton density sums at x1 = x2 = xT.
    double xPDF1sumMax = (9./4.) * beamAPtr->xf(21, xT, pT2Fac);
    for (int id = 1; id <= nQuarkIn; ++id)
      xPDF1sumMax += beamAPtr->xf( id, xT, pT2Fac)
                   + beamAPtr->xf(-id, xT, pT2Fac);
    double xPDF2sumMax = (9./4.) * beamBPtr->xf(21, xT, pT2Fac);
    for (int id = 1; id <= nQuarkIn; ++id)
      xPDF2sumMax += beamBPtr->xf( id, xT, pT2Fac)
                   + beamBPtr->xf(-id, xT, pT2Fac);

    // Evaluate alpha_strong and _EM, matrix element and phase space volume.
    alpS  = alphaS.alphaS(pT2Ren);
    alpEM = alphaEM.alphaEM(pT2Ren);
    double dSigmaPartonApprox = CONVERT2MB * Kfactor * 0.5 * M_PI
      * pow2(alpS / pT2shift);
    double yMax = log(1./xT + sqrt(1./(xT*xT) - 1.));
    double volumePhSp = pow2(2. * yMax);
  
    // Final comparison to determine upper estimate.
    double dSigmaApproxNow = SIGMAFUDGE * xPDF1sumMax * xPDF2sumMax
      * dSigmaPartonApprox * volumePhSp;
    double pT4dSigmaNow = pow2(pT2 + pT20R) * dSigmaApproxNow;
    if ( pT4dSigmaNow > pT4dSigmaMax) pT4dSigmaMax = pT4dSigmaNow;
  }
  
  // Get wanted constant by dividing by the nondiffractive cross section.
  pT4dProbMax = pT4dSigmaMax / sigmaND;

}

//--------------------------------------------------------------------------

// Integrate the parton-parton interaction cross section,
// using stratified Monte Carlo sampling.
// Store result in pT bins for use as Sudakov form factors.

void MultipartonInteractions::jetCrossSection() {

  // Common factor from bin size in dpT2 / (pT2 + r * pT20)^2 and statistics.
  double sigmaFactor = (1. / pT20minR - 1. / pT20maxR) / (100. * nSample);
 
  // Reset overlap-weighted cross section for x-dependent matter profile.
  if (bProfile == 4) for (int bBin = 0; bBin < XDEP_BBIN; bBin++)
    sigmaIntWgt[bBin] = 0.;

  // Loop through allowed pT range evenly in dpT2 / (pT2 + r * pT20)^2.
  sigmaInt         = 0.;
  double dSigmaMax = 0.;
  sudExpPT[100]  = 0.;

  for (int iPT = 99; iPT >= 0; --iPT) {
    double sigmaSum = 0.;

    // Reset pT-binned overlap-weigted integration.
    if (bProfile == 4) for (int bBin = 0; bBin < XDEP_BBIN; bBin++)
      sigmaSumWgt[bBin] = 0.;
    
    // In each pT bin sample a number of random pT values.
    for (int iSample = 0; iSample < nSample; ++iSample) {
      double mappedPT2 = 1. - 0.01 * (iPT + rndmPtr->flat());
      pT2 = pT20min0maxR / (pT20minR + mappedPT2 * pT2maxmin) - pT20R;

      // Evaluate cross section dSigma/dpT2 in phase space point.
      double dSigma = sigmaPT2scatter(true);

      // Multiply by (pT2 + r * pT20)^2 to compensate for pT sampling. Sum.
      dSigma   *= pow2(pT2 + pT20R);
      sigmaSum += dSigma;
      if (dSigma > dSigmaMax) dSigmaMax = dSigma;

      // Overlap-weighted cross section for x-dependent matter profile.
      // Note that dSigma can be 0. when points are rejected.
      if (bProfile == 4 && dSigma > 0.) {
        double w1  = XDEP_A1 + a1 * log(1. / x1);
        double w2  = XDEP_A1 + a1 * log(1. / x2);
        double fac = XDEP_A0 * XDEP_A0 * (w1 * w1 + w2 * w2);
        double b   = 0.5 * bstepNow;
        for (int bBin = 0; bBin < XDEP_BBIN; bBin++) {
          double wgt = exp( - b * b / fac ) / fac / M_PI;
          sigmaSumWgt[bBin] += dSigma * wgt;
          b += bstepNow;
        }
      }
    }

    // Store total cross section and exponent of Sudakov.
    sigmaSum *= sigmaFactor;
    sigmaInt += sigmaSum;
    sudExpPT[iPT] = sudExpPT[iPT + 1] + sigmaSum / sigmaND;

    // Sum overlap-weighted cross section
    if (bProfile == 4) for (int bBin = 0; bBin < XDEP_BBIN; bBin++) {
      sigmaSumWgt[bBin] *= sigmaFactor;
      sigmaIntWgt[bBin] += sigmaSumWgt[bBin];
    }

  // End of loop over pT values.
  }

  // Update upper estimate of differential cross section. Done.
  if (dSigmaMax  > pT4dSigmaMax) {
    pT4dSigmaMax = dSigmaMax;
    pT4dProbMax  = dSigmaMax / sigmaND;
  }

}

//--------------------------------------------------------------------------

// Evaluate "Sudakov form factor" for not having a harder interaction
// at the selected b value, given the pT scale of the event.

double MultipartonInteractions::sudakov(double pT2sud, double enhance) {

  // Find bin the pT2 scale falls in.
  double xBin = (pT2sud - pT2min) * pT20maxR
    / (pT2maxmin * (pT2sud + pT20R));
  xBin = max(1e-6, min(100. - 1e-6, 100. * xBin) );
  int iBin = int(xBin);

  // Interpolate inside bin. Optionally include enhancement factor.
  double sudExp = sudExpPT[iBin] + (xBin - iBin)
    * (sudExpPT[iBin + 1] - sudExpPT[iBin]);
  return exp( -enhance * sudExp);
  
}

//--------------------------------------------------------------------------

// Pick a trial next pT, based on a simple upper estimate of the
// d(sigma)/d(pT2) spectrum.

double MultipartonInteractions::fastPT2( double pT2beg) {

  // Use d(Prob)/d(pT2) < pT4dProbMax / (pT2 + r * pT20)^2.
  double pT20begR       = pT2beg + pT20R;
  double pT4dProbMaxNow = pT4dProbMax * enhanceBmax;
  double pT2try         = pT4dProbMaxNow * pT20begR
    / (pT4dProbMaxNow - pT20begR * log(rndmPtr->flat())) - pT20R;

  // Save cross section associated with ansatz above. Done.
  dSigmaApprox = pT4dSigmaMax / pow2(pT2try + pT20R);
  return pT2try;

}

//--------------------------------------------------------------------------

// Calculate the actual cross section to decide whether fast choice is OK.
// Select flavours and kinematics for interaction at given pT.
// Slightly different treatment for first interaction and subsequent ones.

double MultipartonInteractions::sigmaPT2scatter(bool isFirst) {
 
  // Derive recormalization and factorization scales, amd alpha_strong/em.
  pT2shift = pT2 + pT20;
  pT2Ren   = pT2shift;
  pT2Fac   = (SHIFTFACSCALE) ? pT2shift : pT2;
  alpS  = alphaS.alphaS(pT2Ren);
  alpEM = alphaEM.alphaEM(pT2Ren);

  // Derive rapidity limits from chosen pT2.
  xT       = 2. * sqrt(pT2) / eCM;
  if (xT >= 1.) return 0.;
  xT2      = xT*xT;
  double yMax = log(1./xT + sqrt(1./xT2 - 1.));

  // Select rapidities y3 and y4 of the two produced partons.
  double y3 = yMax * (2. * rndmPtr->flat() - 1.);
  double y4 = yMax * (2. * rndmPtr->flat() - 1.);
  y = 0.5 * (y3 + y4);

  // Reject some events at large rapidities to improve efficiency.
  // (Works for baryons, not pions or Pomerons if they have hard PDF's.)
  double WTy = (hasBaryonBeams)
             ? (1. - pow2(y3/yMax)) * (1. - pow2(y4/yMax)) : 1.;
  if (WTy < rndmPtr->flat()) return 0.;

  // Failure if x1 or x2 exceed what is left in respective beam.
  x1 = 0.5 * xT * (exp(y3) + exp(y4));
  x2 = 0.5 * xT * (exp(-y3) + exp(-y4));
  if (isFirst) {
    if (x1 > 1. || x2 > 1.) return 0.;
  } else {
    if (x1 > beamAPtr->xMax() || x2 > beamBPtr->xMax()) return 0.;
  }
  tau = x1 * x2;

  // Begin evaluate parton densities at actual x1 and x2.
  double xPDF1[21];
  double xPDF1sum = 0.;
  double xPDF2[21];
  double xPDF2sum = 0.;

  // For first interaction use normal densities.
  if (isFirst) {
    for (int id = -nQuarkIn; id <= nQuarkIn; ++id) {
      if (id == 0) xPDF1[10] = (9./4.) * beamAPtr->xf(21, x1, pT2Fac);
      else xPDF1[id+10] = beamAPtr->xf(id, x1, pT2Fac);
      xPDF1sum += xPDF1[id+10];
    }
    for (int id = -nQuarkIn; id <= nQuarkIn; ++id) {
      if (id == 0) xPDF2[10] = (9./4.) * beamBPtr->xf(21, x2, pT2Fac);
      else xPDF2[id+10] = beamBPtr->xf(id, x2, pT2Fac);
      xPDF2sum += xPDF2[id+10];
    }
  
  // For subsequent interactions use rescaled densities.
  } else {
    for (int id = -nQuarkIn; id <= nQuarkIn; ++id) {
      if (id == 0) xPDF1[10] = (9./4.) * beamAPtr->xfMPI(21, x1, pT2Fac);
      else xPDF1[id+10] = beamAPtr->xfMPI(id, x1, pT2Fac);
      xPDF1sum += xPDF1[id+10];
    }
    for (int id = -nQuarkIn; id <= nQuarkIn; ++id) {
      if (id == 0) xPDF2[10] = (9./4.) * beamBPtr->xfMPI(21, x2, pT2Fac);
      else xPDF2[id+10] = beamBPtr->xfMPI(id, x2, pT2Fac);
      xPDF2sum += xPDF2[id+10];
    }
  }

  // Select incoming flavours according to actual PDF's.
  id1 = -nQuarkIn - 1;
  double temp = xPDF1sum * rndmPtr->flat();
  do { xPDF1now = xPDF1[(++id1) + 10]; temp -= xPDF1now; }
  while (temp > 0. && id1 < nQuarkIn);
  if (id1 == 0) id1 = 21;
  id2 = -nQuarkIn-1;
  temp = xPDF2sum * rndmPtr->flat();
  do { xPDF2now = xPDF2[(++id2) + 10]; temp -= xPDF2now;}
  while (temp > 0. && id2 < nQuarkIn);
  if (id2 == 0) id2 = 21;

  // Assign pointers to processes relevant for incoming flavour choice:
  // g + g, q + g, q + qbar (same flavour), q + q(bar) (the rest).
  // Factor 4./9. per incoming gluon to compensate for preweighting.
  SigmaMultiparton* sigma2Tmp;
  double gluFac = 1.;
  if (id1 == 21 && id2 == 21) {
    sigma2Tmp = &sigma2gg;
    gluFac = 16. / 81.;
  } else if (id1 == 21 || id2 == 21) {
    sigma2Tmp = &sigma2qg;
    gluFac = 4. / 9.;
  } else if (id1 == -id2) sigma2Tmp = &sigma2qqbarSame;
  else sigma2Tmp = &sigma2qq;

  // Prepare to generate differential cross sections.
  sHat        = tau * sCM;
  double root = sqrtpos(1. - xT2 / tau);
  tHat        = -0.5 * sHat * (1. - root);
  uHat        = -0.5 * sHat * (1. + root);

  // Evaluate cross sections, include possibility of K factor.
  // Use kinematics for two symmetrical configurations (tHat <-> uHat).
  // (Not necessary, but makes for better MC efficiency.)
  double dSigmaPartonCorr = Kfactor * gluFac
    * sigma2Tmp->sigma( id1, id2, x1, x2, sHat, tHat, uHat, alpS, alpEM);

  // Combine cross section, pdf's and phase space integral.
  double volumePhSp = pow2(2. * yMax) / WTy;
  double dSigmaScat = dSigmaPartonCorr * xPDF1sum * xPDF2sum * volumePhSp;

  // Dampen cross section at small pT values; part of formalism.
  // Use pT2 corrected for massive kinematics at this step.??
  // double pT2massive = dSigmaDtSel->pT2MPI();
  double pT2massive = pT2;
  dSigmaScat *= pow2( pT2massive / (pT2massive + pT20) );

  // Sum up total contribution for all scatterings and rescatterings.
  dSigmaSum  += dSigmaScat;

  // Save values for comparison with rescattering processes.
  i1Sel        = 0;
  i2Sel        = 0;
  id1Sel       = id1;
  id2Sel       = id2;
  x1Sel        = x1;
  x2Sel        = x2;
  sHatSel      = sHat;
  tHatSel      = tHat;
  uHatSel      = uHat;
  sigma2Sel    = sigma2Tmp;
  pickOtherSel = sigma2Tmp->pickedOther();

  // For first interaction: pick one of the possible channels summed above.
  if (isFirst) {
    dSigmaDtSel = sigma2Tmp->sigmaSel();
    if (sigma2Tmp->swapTU()) swap( tHat, uHat);
  }

  // Done.
  return dSigmaScat;
}

//--------------------------------------------------------------------------

// Find the partons that are allowed to rescatter.

void MultipartonInteractions::findScatteredPartons( Event& event) {

  // Reset arrays.
  scatteredA.resize(0);
  scatteredB.resize(0);
  double yTmp, probA, probB;

  // Loop though the event record and catch "final" partons.
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal() && (event[i].idAbs() <= nQuarkIn
  || event[i].id() == 21)) {
    yTmp = event[i].y();

    // Different strategies to determine which partons may rescatter.
    switch(rescatterMode) {

    // Case 0: step function at origin
    case 0:
      if ( yTmp > 0.) scatteredA.push_back( i);
      if (-yTmp > 0.) scatteredB.push_back( i);
      break;

    // Case 1: step function as ySepResc.
    case 1:
      if ( yTmp > ySepResc) scatteredA.push_back( i);
      if (-yTmp > ySepResc) scatteredB.push_back( i);
      break;

    // Case 2: linear rise from ySep - deltaY to ySep + deltaY.
    case 2:
      probA = 0.5 * (1. + ( yTmp - ySepResc) / deltaYResc);
      if (probA > rndmPtr->flat()) scatteredA.push_back( i);
      probB = 0.5 * (1. + (-yTmp - ySepResc) / deltaYResc);
      if (probB > rndmPtr->flat()) scatteredB.push_back( i);
      break;

    // Case 3: rise like (1/2) * ( 1 + tanh((y - ySep) / deltaY) ).
    // Use that (1/2) (1 + tanh(x)) = 1 / (1 + exp(-2x)).
    case 3:
      probA = 1. / (1. + exp(-2. * ( yTmp - ySepResc) / deltaYResc));
      if (probA > rndmPtr->flat()) scatteredA.push_back( i);
      probB = 1. / (1. + exp(-2. * (-yTmp - ySepResc) / deltaYResc));
      if (probB > rndmPtr->flat()) scatteredB.push_back( i);
      break;
 
    // Case 4 and undefined values: all partons can rescatter.
    default:
      scatteredA.push_back( i);
      scatteredB.push_back( i);
      break;

    // End of loop over partons. Done.
    }
  }

}

//--------------------------------------------------------------------------

// Rescattering contribution summed over all already scattered partons.
// Calculate the actual cross section to decide whether fast choice is OK.
// Select flavours and kinematics for interaction at given pT.

double MultipartonInteractions::sigmaPT2rescatter( Event& event) {
 
  // Derive xT scale from chosen pT2.
  xT       = 2. * sqrt(pT2) / eCM;
  if (xT >= 1.) return 0.;
  xT2      = xT*xT;

  //  Pointer to cross section and total rescatter contribution.
  SigmaMultiparton* sigma2Tmp;
  double dSigmaResc = 0.;

  // Normally save time by picking one random scattered parton from side A.
  int nScatA = scatteredA.size();
  int iScatA = -1;
  if (PREPICKRESCATTER && nScatA > 0) iScatA = min( nScatA - 1,
    int( rndmPtr->flat() * double(nScatA) ) );

  // Loop over all already scattered partons from side A.
  for (int iScat = 0; iScat < nScatA; ++iScat) {
    if (PREPICKRESCATTER && iScat != iScatA) continue;
    int iA         = scatteredA[iScat];
    int id1Tmp     = event[iA].id();
    
    // Calculate maximum possible sHat and check whether big enough.
    double x1Tmp   = event[iA].pPos() / eCM;
    double sHatMax = x1Tmp * beamBPtr->xMax() * sCM;
    if (sHatMax < 4. * pT2) continue;

    // Select rapidity separation between two produced partons.
    double dyMax   = log( sqrt(0.25 * sHatMax / pT2)
                   * (1. + sqrtpos(1. - 4. * pT2 / sHatMax)) );
    double dy      = dyMax * (2. * rndmPtr->flat() - 1.);

    // Reconstruct kinematical variables, especially x2.
    // Incoming c/b masses handled better if tau != x1 * x2.
    double m2Tmp   = event[iA].m2();
    double sHatTmp = m2Tmp + 4. * pT2 * pow2(cosh(dy));
    double x2Tmp   = (sHatTmp - m2Tmp) /(x1Tmp * sCM);
    double tauTmp  = sHatTmp / sCM;
    double root    = sqrtpos(1. - xT2 / tauTmp);
    double tHatTmp = -0.5 * sHatTmp * (1. - root);
    double uHatTmp = -0.5 * sHatTmp * (1. + root);

    // Begin evaluate parton densities at actual x2.
    double xPDF2[21];
    double xPDF2sum = 0.;
  
    // Use rescaled densities, with preweighting 9/4 for gluons.
    for (int id = -nQuarkIn; id <= nQuarkIn; ++id) {
      if (id == 0) xPDF2[10] = (9./4.) * beamBPtr->xfMPI(21, x2Tmp, pT2Fac);
      else xPDF2[id+10] = beamBPtr->xfMPI(id, x2Tmp, pT2Fac);
      xPDF2sum += xPDF2[id+10];
    }

    // Select incoming flavour according to actual PDF's.
    int id2Tmp = -nQuarkIn - 1;
    double temp = xPDF2sum * rndmPtr->flat();
    do { xPDF2now = xPDF2[(++id2Tmp) + 10]; temp -= xPDF2now;}
    while (temp > 0. && id2Tmp < nQuarkIn);
    if (id2Tmp == 0) id2Tmp = 21;

    // Assign pointers to processes relevant for incoming flavour choice:
    // g + g, q + g, q + qbar (same flavour), q + q(bar) (the rest).
    // Factor 4./9. for incoming gluon 2 to compensate for preweighting.
    if      (id1Tmp == 21 && id2Tmp == 21) sigma2Tmp = &sigma2gg;
    else if (id1Tmp == 21 || id2Tmp == 21) sigma2Tmp = &sigma2qg;
    else if (id1Tmp == -id2Tmp)            sigma2Tmp = &sigma2qqbarSame;
    else                                   sigma2Tmp = &sigma2qq;
    double gluFac = (id2Tmp == 21) ? 4. / 9. : 1.;

    // Evaluate cross sections, include possibility of K factor.
    // Use kinematics for two symmetrical configurations (tHat <-> uHat).
    // (Not necessary, but makes for better MC efficiency.)
    double dSigmaPartonCorr = Kfactor * gluFac
      * sigma2Tmp->sigma( id1Tmp, id2Tmp, x1Tmp, x2Tmp, sHatTmp, tHatTmp,
        uHatTmp, alpS, alpEM);

    // Combine cross section, pdf's and phase space integral.
    double volumePhSp = 4. *dyMax;
    double dSigmaCorr = dSigmaPartonCorr * xPDF2sum * volumePhSp;

    // Dampen cross section at small pT values; part of formalism.
    // Use pT2 corrected for massive kinematics at this step.
    //?? double pT2massive = dSigmaDtSel->pT2MPI();
    double pT2massive = pT2;
    dSigmaCorr *= pow2( pT2massive / (pT2massive + pT20) );

    // Compensate for prepicked rescattering if appropriate.
    if (PREPICKRESCATTER) dSigmaCorr *= nScatA;

    // Sum up total contribution for all scatterings or rescattering only.
    dSigmaSum  += dSigmaCorr;
    dSigmaResc += dSigmaCorr;

    // Determine whether current rescattering should be selected.
    if (dSigmaCorr > rndmPtr->flat() * dSigmaSum) {
      i1Sel        = iA;
      i2Sel        = 0;
      id1Sel       = id1Tmp;
      id2Sel       = id2Tmp;
      x1Sel        = x1Tmp;
      x2Sel        = x2Tmp;
      sHatSel      = sHatTmp;
      tHatSel      = tHatTmp;
      uHatSel      = uHatTmp;
      sigma2Sel    = sigma2Tmp;
      pickOtherSel = sigma2Tmp->pickedOther();
    }
  }

  // Normally save time by picking one random scattered parton from side B.
  int nScatB = scatteredB.size();
  int iScatB = -1;
  if (PREPICKRESCATTER && nScatB > 0) iScatB = min( nScatB - 1,
    int( rndmPtr->flat() * double(nScatB) ) );

  // Loop over all already scattered partons from side B.
  for (int iScat = 0; iScat < nScatB; ++iScat) {
    if (PREPICKRESCATTER && iScat != iScatB) continue;
    int iB         = scatteredB[iScat];
    int id2Tmp     = event[iB].id();
    
    // Calculate maximum possible sHat and check whether big enough.
    double x2Tmp   = event[iB].pNeg() / eCM;
    double sHatMax = beamAPtr->xMax() * x2Tmp * sCM;
    if (sHatMax < 4. * pT2) continue;

    // Select rapidity separation between two produced partons.
    double dyMax   = log( sqrt(0.25 * sHatMax / pT2)
                   * (1. + sqrtpos(1. - 4. * pT2 / sHatMax)) );
    double dy      = dyMax * (2. * rndmPtr->flat() - 1.);

    // Reconstruct kinematical variables, especially x1.
    // Incoming c/b masses handled better if tau != x1 * x2.
    double m2Tmp   = event[iB].m2();
    double sHatTmp = m2Tmp + 4. * pT2 * pow2(cosh(dy));
    double x1Tmp   = (sHatTmp - m2Tmp) /(x2Tmp * sCM);
    double tauTmp  = sHatTmp / sCM;
    double root    = sqrtpos(1. - xT2 / tauTmp);
    double tHatTmp = -0.5 * sHatTmp * (1. - root);
    double uHatTmp = -0.5 * sHatTmp * (1. + root);

    // Begin evaluate parton densities at actual x1.
    double xPDF1[21];
    double xPDF1sum = 0.;
  
    // Use rescaled densities, with preweighting 9/4 for gluons.
    for (int id = -nQuarkIn; id <= nQuarkIn; ++id) {
      if (id == 0) xPDF1[10] = (9./4.) * beamAPtr->xfMPI(21, x1Tmp, pT2Fac);
      else xPDF1[id+10] = beamAPtr->xfMPI(id, x1Tmp, pT2Fac);
      xPDF1sum += xPDF1[id+10];
    }

    // Select incoming flavour according to actual PDF's.
    int id1Tmp = -nQuarkIn - 1;
    double temp = xPDF1sum * rndmPtr->flat();
    do { xPDF1now = xPDF1[(++id1Tmp) + 10]; temp -= xPDF1now;}
    while (temp > 0. && id1Tmp < nQuarkIn);
    if (id1Tmp == 0) id1Tmp = 21;

    // Assign pointers to processes relevant for incoming flavour choice:
    // g + g, q + g, q + qbar (same flavour), q + q(bar) (the rest).
    // Factor 4./9. for incoming gluon 2 to compensate for preweighting.
    if      (id1Tmp == 21 && id2Tmp == 21) sigma2Tmp = &sigma2gg;
    else if (id1Tmp == 21 || id2Tmp == 21) sigma2Tmp = &sigma2qg;
    else if (id1Tmp == -id2Tmp)            sigma2Tmp = &sigma2qqbarSame;
    else                                   sigma2Tmp = &sigma2qq;
    double gluFac = (id1Tmp == 21) ? 4. / 9. : 1.;

    // Evaluate cross sections, include possibility of K factor.
    // Use kinematics for two symmetrical configurations (tHat <-> uHat).
    // (Not necessary, but makes for better MC efficiency.)
    double dSigmaPartonCorr = Kfactor * gluFac
      * sigma2Tmp->sigma( id1Tmp, id2Tmp, x1Tmp, x2Tmp, sHatTmp, tHatTmp,
        uHatTmp, alpS, alpEM);

    // Combine cross section, pdf's and phase space integral.
    double volumePhSp = 4. *dyMax;
    double dSigmaCorr = dSigmaPartonCorr * xPDF1sum * volumePhSp;

    // Dampen cross section at small pT values; part of formalism.
    // Use pT2 corrected for massive kinematics at this step.
    //?? double pT2massive = dSigmaDtSel->pT2MPI();
    double pT2massive = pT2;
    dSigmaCorr *= pow2( pT2massive / (pT2massive + pT20) );

    // Compensate for prepicked rescattering if appropriate.
    if (PREPICKRESCATTER) dSigmaCorr *= nScatB;

    // Sum up total contribution for all scatterings or rescattering only.
    dSigmaSum  += dSigmaCorr;
    dSigmaResc += dSigmaCorr;

    // Determine whether current rescattering should be selected.
    if (dSigmaCorr > rndmPtr->flat() * dSigmaSum) {
      i1Sel        = 0;
      i2Sel        = iB;
      id1Sel       = id1Tmp;
      id2Sel       = id2Tmp;
      x1Sel        = x1Tmp;
      x2Sel        = x2Tmp;
      sHatSel      = sHatTmp;
      tHatSel      = tHatTmp;
      uHatSel      = uHatTmp;
      sigma2Sel    = sigma2Tmp;
      pickOtherSel = sigma2Tmp->pickedOther();
    }
  }

  // Double rescatter: loop over already scattered partons from both sides.
  // As before, allow to use only one parton per side to speed up.
  if (allowDoubleRes) {
    for (int iScat1 = 0; iScat1 < nScatA; ++iScat1) {
      if (PREPICKRESCATTER && iScat1 != iScatA) continue;
      int iA           = scatteredA[iScat1];
      int id1Tmp       = event[iA].id();
      for (int iScat2 = 0; iScat2 < nScatB; ++iScat2) {
        if (PREPICKRESCATTER && iScat2 != iScatB) continue;
        int iB         = scatteredB[iScat2];
        int id2Tmp     = event[iB].id();
    
        // Calculate current sHat and check whether big enough.
        double sHatTmp = (event[iA].p() + event[iB].p()).m2Calc();
        if (sHatTmp < 4. * pT2) continue;

        // Reconstruct other kinematical variables. (x values not needed.)
        double x1Tmp   = event[iA].pPos() / eCM;
        double x2Tmp   = event[iB].pNeg() / eCM;
        double tauTmp  = sHatTmp / sCM;
        double root    = sqrtpos(1. - xT2 / tauTmp);
        double tHatTmp = -0.5 * sHatTmp * (1. - root);
        double uHatTmp = -0.5 * sHatTmp * (1. + root);

        // Assign pointers to processes relevant for incoming flavour choice:
        // g + g, q + g, q + qbar (same flavour), q + q(bar) (the rest).
        if      (id1Tmp == 21 && id2Tmp == 21) sigma2Tmp = &sigma2gg;
        else if (id1Tmp == 21 || id2Tmp == 21) sigma2Tmp = &sigma2qg;
        else if (id1Tmp == -id2Tmp)            sigma2Tmp = &sigma2qqbarSame;
        else                                   sigma2Tmp = &sigma2qq;

        // Evaluate cross sections, include possibility of K factor.
        // Use kinematics for two symmetrical configurations (tHat <-> uHat).
        // (Not necessary, but makes for better MC efficiency.)
        double dSigmaPartonCorr = Kfactor
          * sigma2Tmp->sigma( id1Tmp, id2Tmp, x1Tmp, x2Tmp, sHatTmp, tHatTmp,
            uHatTmp, alpS, alpEM);

        // Combine cross section and Jacobian tHat -> pT2
        // (with safety minvalue).
        double dSigmaCorr = dSigmaPartonCorr / max(ROOTMIN, root);
  
        // Dampen cross section at small pT values; part of formalism.
        // Use pT2 corrected for massive kinematics at this step.
        //?? double pT2massive = dSigmaDtSel->pT2MPI();
        double pT2massive = pT2;
        dSigmaCorr *= pow2( pT2massive / (pT2massive + pT20) );

        // Compensate for prepicked rescattering if appropriate.
        if (PREPICKRESCATTER) dSigmaCorr *= nScatA * nScatB;

        // Sum up total contribution for all scatterings or rescattering only.
        dSigmaSum  += dSigmaCorr;
        dSigmaResc += dSigmaCorr;

        // Determine whether current rescattering should be selected.
        if (dSigmaCorr > rndmPtr->flat() * dSigmaSum) {
          i1Sel        = iA;
          i2Sel        = iB;
          id1Sel       = id1Tmp;
          id2Sel       = id2Tmp;
          x1Sel        = x1Tmp;
          x2Sel        = x2Tmp;
          sHatSel      = sHatTmp;
          tHatSel      = tHatTmp;
          uHatSel      = uHatTmp;
          sigma2Sel    = sigma2Tmp;
          pickOtherSel = sigma2Tmp->pickedOther();
        }
      }
    }
  }

  // Done.
  return dSigmaResc;
}


//--------------------------------------------------------------------------

// Calculate factor relating matter overlap and interaction rate,
// i.e. k in  = k * overlap(b) (neglecting
// n_int = 0 corrections and energy-momentum conservation effects).

void MultipartonInteractions::overlapInit() {

  // Initial values for iteration. Step size of b integration.
  nAvg = sigmaInt / sigmaND;
  kNow = 0.5;
  int stepDir = 1;
  double deltaB = BSTEP;
  if (bProfile == 2) deltaB *= min( 0.5, 2.5 * coreRadius);
  if (bProfile == 3) deltaB *= max(1., pow(2. / expPow, 1. / expPow));
  
  // Further variables, with dummy initial values.
  double nNow           = 0.;
  double kLow           = 0.;
  double nLow           = 0.;
  double kHigh          = 0.;
  double nHigh          = 0.;
  double overlapNow     = 0.;
  double probNow        = 0.;
  double overlapInt     = 0.5;
  double probInt        = 0.;
  double probOverlapInt = 0.;
  double bProbInt       = 0.;
  normPi                = 1. / (2. * M_PI);

  // Subdivision into low-b and high-b region by interaction rate.
  bool pastBDiv = false;
  double overlapHighB = 0.;

  // For x-dependent matter profile, try to find a0 rather than k.
  // Existing framework is used, but with substitutions:
  //   a0 tuned according to Int( Pint(b), d^2b ) = sigmaND,
  //   nAvg = sigmaND, kNow = a0now, kLow = a0low, kHigh = a0high,
  //   nNow = probInt, nLow = probIntLow, nHigh = probIntHigh.
  double rescale2 = 1.;
  if (bProfile == 4) {
    nAvg = sigmaND;
    kNow = XDEP_A0 / 2.0;
  }

  // First close k into an interval by binary steps,
  // then find k by successive interpolation.
  do {
    if (stepDir == 1) kNow *= 2.;
    else if (stepDir == -1) kNow *= 0.5;
    else kNow = kLow + (nAvg - nLow) * (kHigh - kLow) / (nHigh - nLow);

    // Overlap trivial if no impact parameter dependence.
    if (bProfile <= 0 || bProfile > 4) {
      probInt        = 0.5 * M_PI * (1. - exp(-kNow));
      probOverlapInt = probInt / M_PI;
      bProbInt       = probInt;

      // Ratio of b-integrated k * overlap / (1 - exp( - k * overlap)).
      nNow = M_PI * kNow * overlapInt / probInt;

    // Else integrate overlap over impact parameter.
    } else if (bProfile < 4) {

      // Reset integrals.
      overlapInt     = (bProfile == 3) ? 0. : 0.5;
      probInt        = 0.;
      probOverlapInt = 0.;
      bProbInt       = 0.;
      pastBDiv       = false;
      overlapHighB   = 0.;

      // Step in b space.
      double b       = -0.5 * deltaB;
      double bArea   = 0.;
      do {
        b           += deltaB;
        bArea        = 2. * M_PI * b * deltaB;

        // Evaluate overlap at current b value.
        if (bProfile == 1) {
          overlapNow = normPi * exp( -b*b);
        } else if (bProfile == 2) {
          overlapNow = normPi * ( fracA * exp( -min(EXPMAX, b*b))
            + fracB * exp( -min(EXPMAX, b*b / radius2B)) / radius2B
            + fracC * exp( -min(EXPMAX, b*b / radius2C)) / radius2C );
        } else {
          overlapNow  = normPi * exp( -pow( b, expPow));
          overlapInt += bArea * overlapNow;
        }
        if (pastBDiv) overlapHighB += bArea * overlapNow;

        // Calculate interaction probability and integrate.
        probNow         = 1. - exp( -min(EXPMAX, M_PI * kNow * overlapNow));
        probInt        += bArea * probNow;
        probOverlapInt += bArea * overlapNow * probNow;
        bProbInt       += b * bArea * probNow;

        // Check when interaction probability has dropped sufficiently.
        if (!pastBDiv && probNow < PROBATLOWB) {
          bDiv     = b + 0.5 * deltaB;
          pastBDiv = true;
        }

      // Continue out in b until overlap too small.
      } while (b < 1. || b * probNow > BMAX);

      // Ratio of b-integrated k * overlap / (1 - exp( - k * overlap)).
      nNow = M_PI * kNow * overlapInt / probInt;

    // x-dependent matter profile.
    } else if (bProfile == 4) {
      rescale2  = pow2(kNow / XDEP_A0);
      probInt   = 0.;
      double b  = 0.5 * bstepNow;
      for (int bBin = 0; bBin < XDEP_BBIN; bBin++) {
        double bArea   = 2. * M_PI * b * bstepNow;
        double pIntNow = 1 - exp( -min(EXPMAX, sigmaIntWgt[bBin] / rescale2) );
        probInt += bArea * rescale2 * pIntNow;
        b += bstepNow;
      }
      nNow = probInt;
    }

    // Replace lower or upper limit of k.
    if (nNow < nAvg) {
      kLow = kNow;
      nLow = nNow;
      if (stepDir == -1) stepDir = 0;
    } else {
      kHigh = kNow;
      nHigh = nNow;
      if (stepDir == 1) stepDir = -1;
    }

  // Continue iteration until convergence.
  } while (abs(nNow - nAvg) > KCONVERGE * nAvg);

  // Save relevant final numbers for overlap values.
  if (bProfile >= 0 && bProfile < 4) {
    double avgOverlap  = probOverlapInt / probInt;
    zeroIntCorr = probOverlapInt / overlapInt;
    normOverlap = normPi * zeroIntCorr / avgOverlap;
    bAvg = bProbInt / probInt;

  // Values for x-dependent matter profile.
  } else if (bProfile == 4) {
    // bAvg        = Int(b * Pint(b), d2b)      / sigmaND.
    // zeroIntCorr = Int( * Pint(b), d2b) / sigmaInt.
    bAvg        = 0.;
    zeroIntCorr = 0.;
    double b    = 0.5 * bstepNow;
    for (int bBin = 0; bBin < XDEP_BBIN; bBin++) {
      double bArea   = 2. * M_PI * b * bstepNow;
      double pIntNow = 1. - exp( -min(EXPMAX, sigmaIntWgt[bBin] / rescale2) );
      bAvg          += sqrt(rescale2) * b * bArea * rescale2 * pIntNow;
      zeroIntCorr   += bArea * sigmaIntWgt[bBin] * pIntNow;
      b             += bstepNow;
    }
    bAvg        /= nNow;
    zeroIntCorr /= sigmaInt;

    // Other required values.
    a0now  = kNow;
    infoPtr->seta0MPI(a0now * XDEP_SMB2FM);
    a02now = a0now * a0now;
    double xMin = 2. * pTmin / infoPtr->eCM();
    a2max  = a0now * (XDEP_A1 + a1 * log(1. / xMin));
    a2max *= a2max;
  }

  // Relative rates for preselection of low-b and high-b region.
  // Other useful combinations for subsequent selection.
  if (bProfile > 0 && bProfile <= 3) {
    probLowB = M_PI * bDiv*bDiv;
    double probHighB = M_PI * kNow * overlapHighB;
    if (bProfile == 1) probHighB = M_PI * kNow * 0.5 * exp( -bDiv*bDiv);
    else if (bProfile == 2) {
      fracAhigh   = fracA * exp( -bDiv*bDiv);
      fracBhigh   = fracB * exp( -bDiv*bDiv / radius2B);
      fracChigh   = fracC * exp( -bDiv*bDiv / radius2C);
      fracABChigh = fracAhigh + fracBhigh + fracChigh;
      probHighB   = M_PI * kNow * 0.5 * fracABChigh;
    } else {
      cDiv = pow( bDiv, expPow);
      cMax = max(2. * expRev, cDiv);
    }
    probLowB /= (probLowB + probHighB);
  }

}

//--------------------------------------------------------------------------

// Pick impact parameter and interaction rate enhancement beforehand,
// i.e. before even the hardest interaction for minimum-bias events.

void MultipartonInteractions::overlapFirst() {

  // Trivial values if no impact parameter dependence.
  if (bProfile <= 0 || bProfile > 4) {
    bNow     = bAvg;
    enhanceB = zeroIntCorr;
    bIsSet   = true;
    isAtLowB = true;
    return;
  }

  // Preliminary choice between and inside low-b and high-b regions.
  double overlapNow = 0.;
  double probAccept = 0.;
  do {

    // Treatment in low-b region: pick b flat in area.
    if (rndmPtr->flat() < probLowB) {
      isAtLowB = true;
      bNow = bDiv * sqrt(rndmPtr->flat());

      // Evaluate overlap and from that acceptance probability.
      if (bProfile == 1) overlapNow = normPi * exp( -bNow*bNow);
      else if (bProfile == 2) overlapNow = normPi *
        ( fracA * exp( -bNow*bNow)
        + fracB * exp( -bNow*bNow / radius2B) / radius2B
        + fracC * exp( -bNow*bNow / radius2C) / radius2C );
      else overlapNow = normPi * exp( -pow( bNow, expPow));
      probAccept = 1. - exp( -min(EXPMAX, M_PI * kNow * overlapNow));

    // Treatment in high-b region: pick b according to overlap.
    } else {
      isAtLowB = false;

      // For simple and double Gaussian pick b according to exp(-b^2 / r^2).
      if (bProfile == 1) {
        bNow = sqrt(bDiv*bDiv - log(rndmPtr->flat()));
        overlapNow = normPi * exp( -min(EXPMAX, bNow*bNow));
      } else if (bProfile == 2) {
        double pickFrac = rndmPtr->flat() * fracABChigh;
        if (pickFrac < fracAhigh)
          bNow = sqrt(bDiv*bDiv - log(rndmPtr->flat()));
        else if (pickFrac < fracAhigh + fracBhigh)
          bNow = sqrt(bDiv*bDiv - radius2B * log(rndmPtr->flat()));
        else bNow = sqrt(bDiv*bDiv - radius2C * log(rndmPtr->flat()));
        overlapNow = normPi * ( fracA * exp( -min(EXPMAX, bNow*bNow))
          + fracB * exp( -min(EXPMAX, bNow*bNow / radius2B)) / radius2B
          + fracC * exp( -min(EXPMAX, bNow*bNow / radius2C)) / radius2C );

      // For exp( - b^expPow) transform to variable c = b^expPow so that
      // f(b) = b * exp( - b^expPow) -> f(c) = c^r * exp(-c) with r = expRev.
      // case hasLowPow: expPow < 2 <=> r > 0: preselect according to
      // f(c) < N exp(-c/2) and then accept with N' * c^r * exp(-c/2).
      } else if (hasLowPow) {
        double cNow, acceptC;
        do {
          cNow = cDiv - 2. * log(rndmPtr->flat());
          acceptC = pow(cNow / cMax, expRev) * exp( -0.5 * (cNow - cMax));
        } while (acceptC < rndmPtr->flat());
        bNow = pow( cNow, 1. / expPow);
        overlapNow = normPi * exp( -cNow);

      // case !hasLowPow: expPow >= 2 <=> - 1 < r < 0: preselect according to
      // f(c) < N exp(-c) and then accept with N' * c^r.
      } else {
        double cNow, acceptC;
        do {
          cNow = cDiv - log(rndmPtr->flat());
          acceptC = pow(cNow / cDiv, expRev);
        } while (acceptC < rndmPtr->flat());
        bNow = pow( cNow, 1. / expPow);
        overlapNow = normPi * exp( -cNow);
      }
      double temp = M_PI * kNow *overlapNow;
      probAccept = (1. - exp( -min(EXPMAX, temp))) / temp;
    }

  // Confirm choice of b value. Derive enhancement factor.
  } while (probAccept < rndmPtr->flat());

  // Same enhancement for hardest process and all subsequent MPI
  enhanceB = enhanceBmax = enhanceBnow = (normOverlap / normPi) * overlapNow;

  // Done.
  bIsSet = true;

}

//--------------------------------------------------------------------------

// Pick impact parameter and interaction rate enhancement afterwards,
// i.e. after a hard interaction is known but before rest of MPI treatment.

void MultipartonInteractions::overlapNext(Event& event, double pTscale) {

  // Default, valid for bProfile = 0. Also initial Sudakov.
  enhanceB = zeroIntCorr;
  if (bProfile <= 0 || bProfile > 4) return;

  // Alternative choices of event scale for Sudakov in (pT, b) space.
  if (bSelScale == 1) {
    vector mmT;
    for (int i = 5; i < event.size(); ++i) if (event[i].isFinal()) {
      mmT.push_back( event[i].m() + event[i].mT() );
      for (int j = int(mmT.size()) - 1; j > 0; --j)
        if (mmT[j] > mmT[j - 1]) swap( mmT[j], mmT[j - 1] );
    }
    pTscale = 0.5 * mmT[0];
    for (int j = 1; j < int(mmT.size()); ++j) pTscale += mmT[j] / (j + 1.);
  } else if (bSelScale == 2) pTscale = event.scale();
  double pT2scale = pTscale*pTscale;

  // Use trial interaction for x-dependent matter profile.
  if (bProfile == 4) {
    double pTtrial = 0.;
    do {
      // Pick b according to wanted O(b, x1, x2).
      double expb2 = rndmPtr->flat();
      double w1    = XDEP_A1 + a1 * log(1. / infoPtr->x1());
      double w2    = XDEP_A1 + a1 * log(1. / infoPtr->x2());
      double fac   = a02now * (w1 * w1 + w2 * w2);
      b2now  = - fac * log(expb2);
      bNow   = sqrt(b2now);

      // Enhancement factor for the hard process and overestimate
      // for fastPT2. Note that existing framework has a (1. / sigmaND)
      // present.
      enhanceB    = sigmaND / M_PI / fac * expb2;
      enhanceBmax = sigmaND / 2. / M_PI / a02now
                  * exp( -b2now / 2. / a2max );

      // Trial interaction. Keep going until pTtrial < pTscale.
      pTtrial = pTnext(pTmax, pTmin, event);
    } while (pTtrial > pTscale);
    bIsSet = true;
    return;
  }

  // Begin loop over pT-dependent rejection of b value.
  do {

    // Flat enhancement distribution for simple Gaussian.
    if (bProfile == 1) {
      double expb2 = rndmPtr->flat();
      // Same enhancement for hardest process and all subsequent MPI.
      enhanceB = enhanceBmax = enhanceBnow = normOverlap * expb2;
      bNow = sqrt( -log(expb2));

    // For double Gaussian go the way via b, according to each Gaussian.
    } else if (bProfile == 2) {
      double bType = rndmPtr->flat();
      double b2 = -log( rndmPtr->flat() );
      if (bType < fracA) ;
      else if (bType < fracA + fracB) b2 *= radius2B;
      else b2 *= radius2C;
      // Same enhancement for hardest process and all subsequent MPI.
      enhanceB = enhanceBmax = enhanceBnow = normOverlap *
        ( fracA * exp( -min(EXPMAX, b2))
        + fracB * exp( -min(EXPMAX, b2 / radius2B)) / radius2B
        + fracC * exp( -min(EXPMAX, b2 / radius2C)) / radius2C );
      bNow = sqrt(b2);

    // For exp( - b^expPow) transform to variable c = b^expPow so that
    // f(b) = b * exp( - b^expPow) -> f(c) = c^r * exp(-c) with r = expRev.
    // case hasLowPow: expPow < 2 <=> r > 0:
    // f(c) < r^r exp(-r) for c < 2r, < (2r)^r exp(-r-c/2) for c > 2r.
    } else if (bProfile == 3 && hasLowPow) {
      double cNow, acceptC;
      double probLowC = expRev / (expRev + pow(2., expRev) * exp( - expRev));
      do {
        if (rndmPtr->flat() < probLowC) {
          cNow = 2. * expRev * rndmPtr->flat();
          acceptC = pow( cNow / expRev, expRev) * exp(expRev - cNow);
        } else {
          cNow = 2. * (expRev - log( rndmPtr->flat() ));
          acceptC = pow(0.5 * cNow / expRev, expRev)
                  * exp(expRev - 0.5 * cNow);
        }
      } while (acceptC < rndmPtr->flat());
      // Same enhancement for hardest process and all subsequent MPI.
      enhanceB = enhanceBmax = enhanceBnow = normOverlap *exp(-cNow);
      bNow = pow( cNow, 1. / expPow);

    // case !hasLowPow: expPow >= 2 <=> - 1 < r < 0:
    // f(c) < c^r for c < 1,  f(c) < exp(-c) for c > 1.
    } else if (bProfile == 3 && !hasLowPow) {
      double cNow, acceptC;
      double probLowC = expPow / (2. * exp(-1.) + expPow);
      do {
        if (rndmPtr->flat() < probLowC) {
          cNow = pow( rndmPtr->flat(), 0.5 * expPow);
          acceptC = exp(-cNow);
        } else {
          cNow = 1. - log( rndmPtr->flat() );
          acceptC = pow( cNow, expRev);
        }
      } while (acceptC < rndmPtr->flat());
      // Same enhancement for hardest process and all subsequent MPI.
      enhanceB = enhanceBmax = enhanceBnow = normOverlap * exp(-cNow);
      bNow = pow( cNow, 1. / expPow);
    }

  // Evaluate "Sudakov form factor" for not having a harder interaction.
  } while (sudakov(pT2scale, enhanceB) < rndmPtr->flat());

  // Done.
  bIsSet = true;
}

//--------------------------------------------------------------------------

// Printe statistics on number of multiparton-interactions processes.

void MultipartonInteractions::statistics(bool resetStat, ostream& os) {
    
  // Header.
  os << "\n *-------  PYTHIA Multiparton Interactions Statistics  -----"
     << "---*\n"
     << " |                                                            "
     << " |\n"
     << " |  Note: excludes hardest subprocess if already listed above "
     << " |\n"
     << " |                                                            "
     << " |\n"
     << " | Subprocess                               Code |       Times"
     << " |\n"
     << " |                                               |            "
     << " |\n"
     << " |------------------------------------------------------------"
     << "-|\n"
     << " |                                               |            "
     << " |\n";

  // Loop over existing processes. Sum of all subprocesses.
  int numberSum = 0;
  for ( map::iterator iter = nGen.begin(); iter != nGen.end();
    ++iter) {
    int code = iter -> first;
    int number = iter->second;
    numberSum += number;
  
    // Find process name that matches code.
    string name = " ";
    bool foundName = false;
    SigmaMultiparton* dSigma;
    for (int i = 0; i < 4; ++i) {
      if      (i == 0) dSigma = &sigma2gg;
      else if (i == 1) dSigma = &sigma2qg;
      else if (i == 2) dSigma = &sigma2qqbarSame;
      else             dSigma = &sigma2qq;
      int nProc = dSigma->nProc();
      for (int iProc = 0; iProc < nProc; ++iProc)
      if (dSigma->codeProc(iProc) == code) {
        name = dSigma->nameProc(iProc);
        foundName = true;
      }
      if (foundName) break;
    }

    // Print individual process info.
    os << " | " << left << setw(40) << name << right << setw(5) << code
       << " | " << setw(11) << number << " |\n";
  }

  // Print summed process info.
  os << " |                                                            "
     << " |\n"
     << " | " << left << setw(45) << "sum" << right << " | " << setw(11)
       << numberSum  << " |\n";

    // Listing finished.
  os << " |                                               |            "
     << " |\n"
     << " *-------  End PYTHIA Multiparton Interactions Statistics ----"
     << "-*" << endl;

  // Optionally reset statistics contents.
  if (resetStat) resetStatistics();

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/HelicityMatrixElements.cc0000644000175000017500000023676412357054761020125 0ustar  sunsun// HelicityMatrixElements.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Philip Ilten, Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for physics classes
// used in tau decays.

#include "Pythia8/HelicityMatrixElements.h"

namespace Pythia8 {

//==========================================================================

// The HelicityMatrixElements class.

//--------------------------------------------------------------------------

// Initialize the helicity matrix element.

void HelicityMatrixElement::initPointers(ParticleData* particleDataPtrIn,
  Couplings* couplingsPtrIn) {

  particleDataPtr = particleDataPtrIn;
  couplingsPtr    = couplingsPtrIn;
  for(int i = 0; i <= 5; i++)
    gamma.push_back(GammaMatrix(i));

}

//--------------------------------------------------------------------------

// Initialize the channel for the helicity matrix element.

HelicityMatrixElement* HelicityMatrixElement::initChannel(
  vector& p) {

  pID.clear();
  pM.clear();
  for(int i = 0; i < static_cast(p.size()); i++) {
    pID.push_back(p[i].id());
    pM.push_back(p[i].m());
  }
  initConstants();
  return this;

}

//--------------------------------------------------------------------------

// Calculate a particle's decay matrix.

void HelicityMatrixElement::calculateD(vector& p) {
  
  // Reset the D matrix to zero.
  for (int i = 0; i < p[0].spinStates(); i++) {
    for (int j = 0; j < p[0].spinStates(); j++) {
        p[0].D[i][j] = 0;
    }
  }

  // Initialize the wave functions.
  initWaves(p);
  
  // Create the helicity vectors.
  vector h1(p.size(),0);
  vector h2(p.size(),0);
  
  // Call the recursive sub-method.
  calculateD(p, h1, h2, 0);

  // Normalize the decay matrix.
  p[0].normalize(p[0].D);

}

//--------------------------------------------------------------------------

// Recursive sub-method for calculating a particle's decay matrix.

void HelicityMatrixElement::calculateD(vector& p,
  vector& h1, vector& h2, unsigned int i) {

  if (i < p.size()) {
    for (h1[i] = 0; h1[i] < p[i].spinStates(); h1[i]++) {
        for (h2[i] = 0; h2[i] < p[i].spinStates(); h2[i]++) {
          calculateD(p, h1, h2, i+1);
        }
    }
  }
  else {
    p[0].D[h1[0]][h2[0]] += calculateME(h1) * conj(calculateME(h2)) *
        calculateProductD(p, h1, h2);
  }

}

//--------------------------------------------------------------------------

// Calculate a particle's helicity density matrix.

void HelicityMatrixElement::calculateRho(unsigned int idx,
  vector& p) {

  // Reset the rho matrix to zero.
  for (int i = 0; i < p[idx].spinStates(); i++) {
    for (int j = 0; j < p[idx].spinStates(); j++) {
        p[idx].rho[i][j] = 0;
    }
  }

  // Initialize the wave functions.
  initWaves(p);

  // Create the helicity vectors.
  vector h1(p.size(),0);
  vector h2(p.size(),0);

  // Call the recursive sub-method.
  calculateRho(idx, p, h1, h2, 0);

  // Normalize the density matrix.
  p[idx].normalize(p[idx].rho);

}

//--------------------------------------------------------------------------

// Recursive sub-method for calculating a particle's helicity density matrix.

void HelicityMatrixElement::calculateRho(unsigned int idx,
  vector& p, vector& h1, vector& h2,
  unsigned int i) {

  if (i < p.size()) {
    for (h1[i] = 0; h1[i] < p[i].spinStates(); h1[i]++) {
        for (h2[i] = 0; h2[i] < p[i].spinStates(); h2[i]++) {
          calculateRho(idx, p, h1, h2, i+1);
        }
    }
  }
  else {
    // Calculate rho from a hard process.
    if (p[1].direction < 0)
        p[idx].rho[h1[idx]][h2[idx]] += p[0].rho[h1[0]][h2[0]] *
          p[1].rho[h1[1]][h2[1]] * calculateME(h1)*conj(calculateME(h2)) *
          calculateProductD(idx, 2, p, h1, h2);
    // Calculate rho from a decay.
    else
        p[idx].rho[h1[idx]][h2[idx]] += p[0].rho[h1[0]][h2[0]] *
          calculateME(h1)*conj(calculateME(h2)) *
          calculateProductD(idx, 1, p, h1, h2);
    return;
  }

}

//--------------------------------------------------------------------------

// Calculate a decay's weight.

double HelicityMatrixElement::decayWeight(vector& p) {

  complex weight = complex(0,0);

  // Initialize the wave functions.
  initWaves(p);

  // Create the helicity vectors.
  vector h1(p.size(),0);
  vector h2(p.size(),0);
  
  // Call the recursive sub-method.
  decayWeight(p, h1, h2, weight, 0);

  return real(weight);

}

//--------------------------------------------------------------------------

// Recursive sub-method for calculating a decay's weight.

void HelicityMatrixElement::decayWeight(vector& p,
  vector& h1, vector& h2, complex& weight, unsigned int i) {

  if (i < p.size()) {
    for (h1[i] = 0; h1[i] < p[i].spinStates(); h1[i]++) {
        for (h2[i] = 0; h2[i] < p[i].spinStates(); h2[i]++) {
          decayWeight(p, h1, h2, weight, i+1);
        }
    }
  }
  else {
    weight += p[0].rho[h1[0]][h2[0]] * calculateME(h1) *
        conj(calculateME(h2)) * calculateProductD(p, h1, h2);
  }

}

//--------------------------------------------------------------------------

// Calculate the product of the decay matrices (hard process).

complex HelicityMatrixElement::calculateProductD(unsigned int idx,
  unsigned int start, vector& p,
  vector& h1, vector& h2) {

  complex answer(1,0);
  for (unsigned int i = start; i < p.size(); i++) {
    if (i != idx) {
        answer *= p[i].D[h1[i]][h2[i]];
    }
  }
  return answer;

}

//--------------------------------------------------------------------------

// Calculate the product of the decay matrices (decay process).

complex HelicityMatrixElement::calculateProductD(
  vector& p, vector& h1, vector& h2) {

  complex answer(1,0);
  for (unsigned int i = 1; i < p.size(); i++) {
    answer *= p[i].D[h1[i]][h2[i]];
  }
  return answer;

}

//--------------------------------------------------------------------------
  
// Initialize a fermion line.

void HelicityMatrixElement::setFermionLine(int position,
  HelicityParticle& p0, HelicityParticle& p1) {

  vector< Wave4 > u0, u1;
  
  // First particle is incoming and particle, or outgoing and anti-particle.
  if (p0.id()*p0.direction < 0) {
    pMap[position] = position; pMap[position+1] = position+1;
    for (int h = 0; h < p0.spinStates(); h++) u0.push_back(p0.wave(h));
    for (int h = 0; h < p1.spinStates(); h++) u1.push_back(p1.waveBar(h));
  }
  // First particle is outgoing and particle, or incoming and anti-particle.
  else {
    pMap[position] = position+1; pMap[position+1] = position;
    for (int h = 0; h < p0.spinStates(); h++) u1.push_back(p0.waveBar(h));
    for (int h = 0; h < p1.spinStates(); h++) u0.push_back(p1.wave(h));
  }
  u.push_back(u0); u.push_back(u1);

}

//--------------------------------------------------------------------------

// Return a fixed width Breit-Wigner.
  
complex HelicityMatrixElement::breitWigner(double s, double M, double G) {
  
  return (-M*M + complex(0, 1) * M * G) / (s - M*M + complex(0, 1) * M * G);
  
}

//--------------------------------------------------------------------------
 
// Return an s-wave BreitWigner.

complex HelicityMatrixElement::sBreitWigner(double m0, double m1, double s,
   double M, double G) {

  double gs = sqrtpos((s - pow2(m0+m1)) * (s - pow2(m0-m1))) / (2*sqrtpos(s));
  double gM = sqrtpos((M*M - pow2(m0+m1)) * (M*M - pow2(m0-m1))) / (2*M);
  return M*M / (M*M - s - complex(0,1)*G*M*M/sqrtpos(s)*(gs/gM));

}

//--------------------------------------------------------------------------

// Return a p-wave BreitWigner.

complex HelicityMatrixElement::pBreitWigner(double m0, double m1, double s,
  double M, double G) {

  double gs = sqrtpos((s - pow2(m0+m1)) * (s - pow2(m0-m1))) / (2*sqrtpos(s));
  double gM = sqrtpos((M*M - pow2(m0+m1)) * (M*M - pow2(m0-m1))) / (2*M);
  return M*M / (M*M - s - complex(0,1)*G*M*M/sqrtpos(s)*pow3(gs/gM));

}

//--------------------------------------------------------------------------

// Return a d-wave BreitWigner.

complex HelicityMatrixElement::dBreitWigner(double m0, double m1, double s,
  double M, double G) {

  double gs = sqrtpos((s - pow2(m0+m1)) * (s - pow2(m0-m1))) / (2*sqrtpos(s));
  double gM = sqrtpos((M*M - pow2(m0+m1)) * (M*M - pow2(m0-m1))) / (2*M);
  return M*M / (M*M - s - complex(0,1)*G*M*M/sqrtpos(s)*pow5(gs/gM));

}

//==========================================================================

// Helicity matrix element for two fermions -> W -> two fermions. This matrix
// element handles s-channel hard processes in addition to t-channel, assuming
// the first two particles are a fermion line and the second two particles
// are a fermion line. This matrix element is not scaled with respect to W
// propagator energy as currently this matrix element is used only for
// calculating helicity density matrices.

//--------------------------------------------------------------------------

// Initialize spinors for the helicity matrix element.

void HMETwoFermions2W2TwoFermions::initWaves(vector& p) {

  u.clear();
  pMap.resize(4);
  setFermionLine(0,p[0],p[1]);
  setFermionLine(2,p[2],p[3]);

}

//--------------------------------------------------------------------------

  // Return element for the helicity matrix element.

complex HMETwoFermions2W2TwoFermions::calculateME(vector h) {

  complex answer(0,0);
  for (int mu = 0; mu <= 3; mu++) {
    answer += (u[1][h[pMap[1]]] * gamma[mu] * (1 - gamma[5])
      * u[0][h[pMap[0]]]) * gamma[4](mu,mu) * (u[3][h[pMap[3]]]
      * gamma[mu] * (1 - gamma[5]) * u[2][h[pMap[2]]]);
  }
  return answer;

}

//==========================================================================

// Helicity matrix element for two fermions -> photon -> two fermions. This
// matrix element can be combined with the Z matrix element to provide full
// interference effects.
    
// p0Q: charge of the incoming fermion line
// p2Q: charge of the outgoing fermion line
// s: center of mass energy

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMETwoFermions2Gamma2TwoFermions::initWaves(
  vector& p) {

  u.clear();
  pMap.resize(4);
  setFermionLine(0, p[0], p[1]);
  setFermionLine(2, p[2], p[3]);
  s = max( 1., pow2(p[4].m()));
  p0Q = p[0].charge(); p2Q = p[2].charge();

}

//--------------------------------------------------------------------------

// Return element for the helicity matrix element.


complex HMETwoFermions2Gamma2TwoFermions::calculateME(vector h) {

  complex answer(0,0);
  for (int mu = 0; mu <= 3; mu++) {
    answer += (u[1][h[pMap[1]]] * gamma[mu] * u[0][h[pMap[0]]])
      * gamma[4](mu,mu) * (u[3][h[pMap[3]]] * gamma[mu] * u[2][h[pMap[2]]]);
  }
  return p0Q*p2Q * answer / s;

}

//==========================================================================

// Helicity matrix element for two fermions -> Z -> two fermions. This matrix
// element can be combined with the photon matrix element to provide full
// interference effects.

// Note that there is a double contraction in the Z matrix element, which can
// be very time consuming. If the two incoming fermions are oriented along
// the z-axis, their helicities must be opposite for a non-zero matrix element
// term. Consequently, this check is made to help speed up the matrix element.

// sin2W: sine of the Weinberg angle
// cos2W: cosine of the Weinberg angle
// zM: on-shell mass of the Z
// zG: on-shell width of the Z
// p0CA: axial coupling of particle 0 to the Z
// p2CA: axial coupling of particle 2 to the Z
// p0CV: vector coupling of particle 0 to the Z
// p2CV: vector coupling of particle 2 to the Z
// zaxis: true if the incoming fermions are oriented along the z-axis

//--------------------------------------------------------------------------

// Initialize the constant for the helicity matrix element.

void HMETwoFermions2Z2TwoFermions::initConstants() {

  // Set the Weinberg angle.
  sin2W = couplingsPtr->sin2thetaW();
  cos2W = couplingsPtr->cos2thetaW();
  // Set the on-shell Z mass and width.
  zG = particleDataPtr->mWidth(23);
  zM = particleDataPtr->m0(23);
  // Set the vector and axial couplings to the fermions.
  p0CA = couplingsPtr->af(abs(pID[0]));
  p2CA = couplingsPtr->af(abs(pID[2]));
  p0CV = couplingsPtr->vf(abs(pID[0]));
  p2CV = couplingsPtr->vf(abs(pID[2]));

}

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMETwoFermions2Z2TwoFermions::initWaves(vector& p) {

  vector< Wave4 > u4;
  u.clear();
  pMap.resize(4);
  setFermionLine(0, p[0], p[1]);
  setFermionLine(2, p[2], p[3]);
  u4.push_back(Wave4(p[2].p() + p[3].p()));
  u.push_back(u4);
  // Center of mass energy.
  s = max( 1., pow2(p[4].m()));
  // Check if incoming fermions are oriented along z-axis.
  zaxis = (p[0].pAbs() == fabs(p[0].pz())) &&
    (p[1].pAbs() == fabs(p[1].pz()));

}

//--------------------------------------------------------------------------

// Return element for helicity matrix element.

complex HMETwoFermions2Z2TwoFermions::calculateME(vector h) {

  complex answer(0,0);
  // Return zero if correct helicity conditions.
  if (h[0] == h[1] && zaxis) return answer;
  for (int mu = 0; mu <= 3; mu++) {
    for (int nu = 0; nu <= 3; nu++) {
        answer +=
          (u[1][h[pMap[1]]] * gamma[mu] * (p0CV - p0CA * gamma[5]) *
           u[0][h[pMap[0]]]) *
          (gamma[4](mu,nu) - gamma[4](mu,mu)*u[4][0](mu) *
           gamma[4](nu,nu) * u[4][0](nu) / (zM*zM)) *
          (u[3][h[pMap[3]]] * gamma[nu] * (p2CV - p2CA * gamma[5]) *
           u[2][h[pMap[2]]]);
    }
  }
  return answer / (16 * pow2(sin2W * cos2W) *
                     (s - zM*zM + complex(0, s*zG/zM)));

}

//==========================================================================

// Helicity matrix element for two fermions -> photon/Z -> two fermions. Full
// interference is obtained by combining the photon and Z helicity matrix
// elements.

// In general the initPointers and initChannel methods should not be
// redeclared.

//--------------------------------------------------------------------------

// Initialize the matrix element.

void HMETwoFermions2GammaZ2TwoFermions::initPointers(
  ParticleData* particleDataPtrIn, Couplings* couplingsPtrIn) {

  zHME.initPointers(particleDataPtrIn, couplingsPtrIn);
  gHME.initPointers(particleDataPtrIn, couplingsPtrIn);

}

//--------------------------------------------------------------------------

// Initialize the channel for the helicity matrix element.

  HelicityMatrixElement* HMETwoFermions2GammaZ2TwoFermions::initChannel(
    vector& p) {

    zHME.initChannel(p);
    zHME.initChannel(p);
    return this;

}

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMETwoFermions2GammaZ2TwoFermions::initWaves(
  vector& p) {

  zHME.initWaves(p);
  gHME.initWaves(p);

}

//--------------------------------------------------------------------------

// Return element for the helicity matrix element.

complex HMETwoFermions2GammaZ2TwoFermions::calculateME(vector h) {

  return zHME.calculateME(h) + gHME.calculateME(h);

}

//==========================================================================

// Helicity matrix element for Z -> two fermions.

// Helicity matrix element for Z -> two fermions. This matrix element is used
// when the production of the Z is from an unknown process.

// p2CA: axial coupling of particle 2 to the Z
// p2CV: vector coupling of particle 2 to the Z

//--------------------------------------------------------------------------

// Initialize the constant for the helicity matrix element.

void HMEZ2TwoFermions::initConstants() {
  
  // Set the vector and axial couplings to the fermions.
  p2CA = couplingsPtr->af(abs(pID[2]));
  p2CV = couplingsPtr->vf(abs(pID[2]));

}

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMEZ2TwoFermions::initWaves(vector& p) {

  u.clear();
  pMap.resize(4);
  // Initialize Z wave function.
  vector< Wave4 > u1;
  pMap[1] = 1;
  for (int h = 0; h < p[pMap[1]].spinStates(); h++)
    u1.push_back(p[pMap[1]].wave(h));
  u.push_back(u1);
  // Initialize fermion wave functions.
  setFermionLine(2, p[2], p[3]);

}

//--------------------------------------------------------------------------

// Return element for helicity matrix element.

complex HMEZ2TwoFermions::calculateME(vector h) {

  complex answer(0,0);
  for (int mu = 0; mu <= 3; mu++) {
    answer +=
      u[0][h[pMap[1]]](mu) * (u[2][h[pMap[3]]] * gamma[mu]
                              * (p2CV - p2CA * gamma[5]) *  u[1][h[pMap[2]]]);
  }
  return answer;
}

//==========================================================================
 
// Helicity matrix element for the decay of a CP even Higgs to two fermions.
// All SM and MSSM Higgses couple to fermions with a vertex factor of
// (pfCV - pfCA * gamma[5]) where pf indicates the type of fermion line. For
// simplicity for the SM and MSSM CP even Higgses pfCV is set to one, and
// pfCA to zero, as this matrix element is used only for calculating helicity
// density matrices.

// p2CA: in the SM and MSSM this coupling is zero
// p2CV: in the SM and MSSM this coupling is given by:
//     i * g_w * m_f / (2 * m_W)
//                               * -1 for the SM H
//                               * -sin(alpha) / sin(beta) for H^0 u-type
//                               * -cos(alpha) / cos(beta) for H^0 d-type
//                               * -cos(alpha) / sin(beta) for h^0 u-type
//                               *  sin(alpha) / cos(beta) for h^0 d-type

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMEHiggsEven2TwoFermions::initWaves(vector& p) {

  u.clear();
  pMap.resize(4);
  p2CA = 0; p2CV = 1;
  setFermionLine(2, p[2], p[3]);

}

//--------------------------------------------------------------------------
  
// Return element for the helicity matrix element.

complex HMEHiggsEven2TwoFermions::calculateME(vector h) {

  return (u[1][h[pMap[3]]] * (p2CV - p2CA * gamma[5]) * u[0][h[pMap[2]]]);

}

//==========================================================================

// Helicity matrix element for the decay of a CP odd Higgs to two fermions.
// See HMEHiggsEven2TwoFermions for more details. For the MSSM CP odd Higgs
// pfCA is set to one and pfCV is set to zero.

// p2CA: in the MSSM this coupling is given by:
//     -g_w * m_f / (2 * m_W)
//                            * cot(beta) for A^0 u-type
//                            * tan(beta) for A^0 d-type
// p2CV: in the MSSM this coupling is zero

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMEHiggsOdd2TwoFermions::initWaves(vector& p) {

  u.clear();
  pMap.resize(4);
  p2CA = 1; p2CV = 0;
  setFermionLine(2, p[2], p[3]);

}

//--------------------------------------------------------------------------
  
// Return element for the helicity matrix element.

complex HMEHiggsOdd2TwoFermions::calculateME(vector h) {

  return (u[1][h[pMap[3]]] * (p2CV - p2CA * gamma[5]) * u[0][h[pMap[2]]]);

}

//==========================================================================

// Helicity matrix element for the decay of a charged Higgs to two fermions.
// See HMEHiggsEven2TwoFermions for more details. For the MSSM charged Higgs
// pfCA is set to +/- one given an H^+/- and pfCV is set to one.

// p2CA: in the MSSM this coupling is given by:
//       i * g / (sqrt(8.) * m_W) * (m_d * tan(beta) + m_u * cot(beta))
// p2CV: in the MSSM this coupling is given by:
//       +/- i * g / (sqrt(8.) * m_W) * (m_d * tan(beta) - m_u * cot(beta))

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.

void HMEHiggsCharged2TwoFermions::initWaves(vector& p) {

  u.clear();
  pMap.resize(4);
  p2CV = 1;
  if (pID[3] == 15 || pID[3] == -16) p2CA = 1;
  else p2CA = -1;
  setFermionLine(2, p[2], p[3]);

}

//--------------------------------------------------------------------------
  
// Return element for the helicity matrix element.

complex HMEHiggsCharged2TwoFermions::calculateME(vector h) {

  return (u[1][h[pMap[3]]] * (p2CV - p2CA * gamma[5]) * u[0][h[pMap[2]]]);

}

//==========================================================================

// Helicity matrix element which provides an unpolarized helicity
// density matrix. This matrix element is used for unkown hard processes.
    
// Note that calculateRho is redefined for this special case, but that in
// general calculateRho should not be redefined.

//--------------------------------------------------------------------------

// Calculate a particle's helicity density matrix.

void HMEUnpolarized::calculateRho(unsigned int idx,
  vector& p) {

  for (int i = 0; i < p[idx].spinStates(); i++ ) {
    for (int j = 1; j < p[idx].spinStates(); j++) {
        if (i == j) p[idx].rho[i][j] = 1.0 /
                      static_cast(p[idx].spinStates());
        else p[idx].rho[i][j] = 0;
    }
  }

}

//==========================================================================

// Base class for all tau decay matrix elements. This class derives from
// the HelicityMatrixElement class and redefines some of the virtual functions.

// One new method, initHadronicCurrent is defined which initializes the
// hadronic current in the initWaves method. For each tau decay matrix element
// the hadronic current method must be redefined accordingly, but initWaves
// should not be redefined.

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.
void HMETauDecay::initWaves(vector& p) {

  u.clear();
  pMap.resize(p.size());
  setFermionLine(0, p[0], p[1]);
  initHadronicCurrent(p);

}

//--------------------------------------------------------------------------

// Return element for the helicity matrix element.
complex HMETauDecay::calculateME(vector h) {

  complex answer(0,0);
  for (int mu = 0; mu <= 3; mu++) {
    answer +=
        (u[1][h[pMap[1]]] * gamma[mu] * (1 - gamma[5]) * u[0][h[pMap[0]]])
        * gamma[4](mu,mu) * u[2][0](mu);
  }
  return answer;

}

//--------------------------------------------------------------------------

// Return the maximum decay weight for the helicity matrix element.

double HMETauDecay::decayWeightMax(vector& p) {

  // Determine the maximum on-diagonal element of rho.
  double on  = real(p[0].rho[0][0]) > real(p[0].rho[1][1]) ?
    real(p[0].rho[0][0]) : real(p[0].rho[1][1]);
  // Determine the maximum off-diagonal element of rho.
  double off = fabs(real(p[0].rho[0][1])) + fabs(imag(p[0].rho[0][1]));
  return  DECAYWEIGHTMAX * (on + off);

}

//--------------------------------------------------------------------------

// Calculate complex resonance weights given a phase and amplitude vector.

void HMETauDecay::calculateResonanceWeights(vector& phase,
  vector& amplitude, vector& weight) {

  for (unsigned int i = 0; i < phase.size(); i++)
    weight.push_back(amplitude[i] * (cos(phase[i]) +
                                       complex(0,1) * sin(phase[i])));

}

//==========================================================================
  
// Tau decay matrix element for tau decay into a single scalar meson.

// The maximum decay weight for this matrix element can be found analytically
// to be 4 * m_tau^2 * (m_tau^2 - m_meson^2). However, because m_tau >> m_meson
// for the relevant tau decay channels, this expression is approximated by
// m_tau^4.

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2Meson::initConstants() {

  DECAYWEIGHTMAX = 4*pow4(pM[0]);

}

//--------------------------------------------------------------------------

// Initialize the hadronic current for the helicity matrix element.

void HMETau2Meson::initHadronicCurrent(vector& p) {

  vector< Wave4 > u2;
  pMap[2] = 2;
  u2.push_back(Wave4(p[2].p()));
  u.push_back(u2);

}

//==========================================================================

// Tau decay matrix element for tau decay into two leptons. Because there is
// no hadronic current, but rather a leptonic current, the calculateME and
// initWaves methods must be redefined.

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2TwoLeptons::initConstants() {

  DECAYWEIGHTMAX = 16*pow4(pM[0]);

}

//--------------------------------------------------------------------------

// Initialize spinors for the helicity matrix element.

void HMETau2TwoLeptons::initWaves(vector& p) {

  u.clear();
  pMap.resize(4);
  setFermionLine(0,p[0],p[1]);
  setFermionLine(2,p[2],p[3]);

}

//--------------------------------------------------------------------------

// Return element for the helicity matrix element.

complex HMETau2TwoLeptons::calculateME(vector h) {

  complex answer(0,0);
  for (int mu = 0; mu <= 3; mu++) {
    answer += (u[1][h[pMap[1]]] * gamma[mu] * (1 - gamma[5])
      * u[0][h[pMap[0]]]) * gamma[4](mu,mu) * (u[3][h[pMap[3]]]
      * gamma[mu] * (1 - gamma[5]) * u[2][h[pMap[2]]]);
  }
  return answer;

}

//==========================================================================

// Tau decay matrix element for tau decay into two mesons through an
// intermediate vector meson. This matrix element is used for pi^0 + pi^-
// decays (rho resonances), K^0 + K^- decays (rho resonances), and eta + K^-
// decays (K^* resonances). Note that for the rho resonances the pi^0 + pi^-
// running width dominates while for the K^* resonances the pi^- + K^0 running
// width dominates.

// vecM: on-shell masses for the vector resonances
// vecG: on-shell widths for the vector resonances
// vecP: phases used to calculate vector resonance weights
// vecA: amplitudes used to calculate vector resonance weights
// vecW: vector resonance weights

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2TwoMesonsViaVector::initConstants() {

  // Clear the vectors from previous decays.
  vecM.clear(); vecG.clear(); vecP.clear(); vecA.clear(); vecW.clear();

  // Decay through K^* resonances (eta + K^- decay).
  if (abs(pID[2]) == 221) {
    DECAYWEIGHTMAX = 10;
    pM[2] = particleDataPtr->m0(211); pM[3] = particleDataPtr->m0(311);
    vecM.push_back(0.8921); vecM.push_back(1.700);
    vecG.push_back(0.0513); vecG.push_back(0.235);
    vecP.push_back(0);      vecP.push_back(M_PI);
    vecA.push_back(1);      vecA.push_back(0.038);
  }

  // Decay through rho resonances (pi^0 + pi^- and K^0 + K^- decays).
  else {
    if (abs(pID[2]) == 111)      DECAYWEIGHTMAX = 800;
    else if (abs(pID[2]) == 311) DECAYWEIGHTMAX = 6;
    pM[2] = particleDataPtr->m0(111); pM[3] = particleDataPtr->m0(211);
    vecM.push_back(0.7746); vecM.push_back(1.4080); vecM.push_back(1.700);
    vecG.push_back(0.1490); vecG.push_back(0.5020); vecG.push_back(0.235);
    vecP.push_back(0);      vecP.push_back(M_PI);   vecP.push_back(0);
    vecA.push_back(1.0);    vecA.push_back(0.167);  vecA.push_back(0.050);
  }
  calculateResonanceWeights(vecP, vecA, vecW);

}

//--------------------------------------------------------------------------

// Initialize the hadronic current for the helicity matrix element.

void HMETau2TwoMesonsViaVector::initHadronicCurrent(
  vector& p) {

  vector< Wave4 > u2;
  Wave4 u3(p[3].p() - p[2].p());
  Wave4 u4(p[2].p() + p[3].p());
  double s1 = m2(u3, u4);
  double s2 = m2(u4);
  complex sumBW = 0;
  for (unsigned int i = 0; i < vecW.size(); i++)
    sumBW += vecW[i] * pBreitWigner(pM[2], pM[3], s2, vecM[i], vecG[i]);
  u2.push_back((u3 - s1 / s2 * u4) * sumBW);
  u.push_back(u2);

}

//==========================================================================

// Tau decay matrix element for tau decay into two mesons through both
// intermediate vector and scalar mesons.

// scaC: scalar coupling constant
// scaM: on-shell masses for the scalar resonances
// scaG: on-shell widths for the scalar resonances
// scaP: phases used to calculate scalar resonance weights
// scaA: amplitudes used to calculate scalar resonance weights
// scaW: scalar resonance weights
// vecC: scalar coupling constant
// vecM: on-shell masses for the vector resonances
// vecG: on-shell widths for the vector resonances
// vecP: phases used to calculate vector resonance weights
// vecA: amplitudes used to calculate vector resonance weights
// vecW: vector resonance weights

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2TwoMesonsViaVectorScalar::initConstants() {

  DECAYWEIGHTMAX = 5400;
  // Clear the vectors from previous decays.
  scaM.clear(); scaG.clear(); scaP.clear(); scaA.clear(); scaW.clear();
  vecM.clear(); vecG.clear(); vecP.clear(); vecA.clear(); vecW.clear();
  // Scalar resonance parameters.
  scaC = 0.465;
  scaM.push_back(0.878);
  scaG.push_back(0.499);
  scaP.push_back(0);
  scaA.push_back(1);
  calculateResonanceWeights(scaP, scaA, scaW);
  // Vector resonance parameters.
  vecC = 1;
  vecM.push_back(0.89547); vecM.push_back(1.414);
  vecG.push_back(0.04619); vecG.push_back(0.232);
  vecP.push_back(0);       vecP.push_back(1.4399);
  vecA.push_back(1);       vecA.push_back(0.075);
  calculateResonanceWeights(vecP, vecA, vecW);

}

//--------------------------------------------------------------------------

// Initialize the hadronic current for the helicity matrix element.

void HMETau2TwoMesonsViaVectorScalar::initHadronicCurrent(
  vector& p) {

  vector< Wave4 > u2;
  Wave4 u3(p[3].p() - p[2].p());
  Wave4 u4(p[2].p() + p[3].p());
  double s1 = m2(u3,u4);
  double s2 = m2(u4);
  complex scaSumBW = 0; complex scaSumW = 0;
  complex vecSumBW = 0; complex vecSumW = 0; complex vecSumBWM = 0;
  for (unsigned int i = 0; i < scaW.size(); i++) {
    scaSumBW  += scaW[i] * sBreitWigner(pM[2], pM[3], s2, scaM[i], scaG[i]);
    scaSumW   += scaW[i];
  }
  for (unsigned int i = 0; i < vecW.size(); i++) {
    vecSumBW  += vecW[i] * pBreitWigner(pM[2], pM[3], s2, vecM[i], vecG[i]);
    vecSumBWM += vecW[i] * pBreitWigner(pM[2], pM[3], s2, vecM[i], vecG[i]) /
        pow2(vecM[i]);
    vecSumW   += vecW[i];
  }
  u2.push_back(vecC * (vecSumBW * u3 - s1 * vecSumBWM * u4) / vecSumW +
                 scaC * u4 * scaSumBW / scaSumW);
  u.push_back(u2);

}

//==========================================================================

// Tau decay matrix element for tau decay into three mesons. This matrix
// element provides a base class for all implemented three meson decays.

// mode: three meson decay mode of the tau
// initMode(): initialize the decay mode
// initResonances(): initialize the resonance constants
// s1, s2, s3, s4: center-of-mass energies
// q, q2, q3, q4: summed and individual hadronic momentum four-vectors
// a1BW: stored value of a1BreitWigner for speed
// a1PhaseSpace(s): phase space factor for the a1
// a1BreitWigner(s): Breit-Wigner for the a1
// T(m0, m1, s, M, G, W): sum weighted p-wave Breit-Wigners
// T(s, M, G, W): sum weighted fixed width Breit-Wigners
// F1(), F2(), F3(), F4(): sub-current form factors

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2ThreeMesons::initConstants() {
  
  initMode();
  initResonances();
  
}

//--------------------------------------------------------------------------

// Initialize the hadronic current for the helicity matrix element.

void HMETau2ThreeMesons::initHadronicCurrent(vector& p) {

  vector< Wave4 > u2;

  // Initialize the momenta.
  initMomenta(p);

  // Calculate the center of mass energies.
  s1 = m2(q);
  s2 = m2(q3 + q4);
  s3 = m2(q2 + q4);
  s4 = m2(q2 + q3);

  // Calculate the form factors.
  a1BW = a1BreitWigner(s1);
  complex f1   = F1();
  complex f2   = F2();
  complex f3   = F3();
  complex f4   = F4();

  // Calculate the hadronic current.
  Wave4 u3 = (f3 - f2) * q2 + (f1 - f3) * q3 + (f2 - f1) * q4;
  u3 = u3 - (u3 * gamma[4] * q / s1) * q;
  if (f4 != complex(0, 0))
    u3 = u3 + complex(0, 1) * f4 * epsilon(q2, q3, q4);
  u2.push_back(u3);
  u.push_back(u2);

}

//--------------------------------------------------------------------------

// Initialize the tau decay mode.

void HMETau2ThreeMesons::initMode() {

  if (abs(pID[2]) == 111 && abs(pID[3]) == 111 && abs(pID[4]) == 211)
    mode = Pi0Pi0Pim;
  else if (abs(pID[2]) == 211 && abs(pID[3]) == 211 && abs(pID[4]) == 211)
    mode = PimPimPip;
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 211 && abs(pID[4]) == 311)
    mode = Pi0PimK0b;
  else if (abs(pID[2]) == 211 && abs(pID[3]) == 211 && abs(pID[4]) == 321)
    mode = PimPipKm;
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 211 && abs(pID[4]) == 221)
    mode = Pi0PimEta;
  else if (abs(pID[2]) == 211 && abs(pID[3]) == 321 && abs(pID[4]) == 321)
    mode = PimKmKp;
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 311 && abs(pID[4]) == 321)
    mode = Pi0K0Km;
  else if (abs(pID[2]) == 130 && abs(pID[3]) == 211 && abs(pID[4]) == 310)
    mode = KlPimKs;
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 111 && abs(pID[4]) == 321)
    mode = Pi0Pi0Km;
  else if (abs(pID[2]) == 130 && abs(pID[3]) == 130 && abs(pID[4]) == 211)
    mode = KlKlPim;
  else if (abs(pID[2]) == 211 && abs(pID[3]) == 310 && abs(pID[4]) == 310)
    mode = PimKsKs;
  else if (abs(pID[2]) == 211 && abs(pID[3]) == 311 && abs(pID[4]) == 311)
    mode = PimK0bK0;
  else
    mode = Uknown;
}

//--------------------------------------------------------------------------
  
// Initialize the momenta for the helicity matrix element.
  
void HMETau2ThreeMesons::initMomenta(vector& p) {
  
  q = Wave4(p[2].p() + p[3].p() + p[4].p());
  // pi-, pi-, pi+ decay and pi0, pi0, pi- decay.
  if (mode == PimPimPip || mode == Pi0Pi0Pim) {
    q2 = Wave4(p[2].p()); q3 = Wave4(p[3].p()); q4 = Wave4(p[4].p());
  // K-, pi-, K+ decay.
  } else if (mode == PimKmKp) {
    q2 = Wave4(p[3].p()); q3 = Wave4(p[2].p()); q4 = Wave4(p[4].p());
  // K0, pi-, Kbar0 decay.
  } else if (mode == PimK0bK0) {
    q2 = Wave4(p[3].p()); q3 = Wave4(p[2].p()); q4 = Wave4(p[4].p());
  // K_S0, pi-, K_S0 decay.
  } else if (mode == PimKsKs) {
    q2 = Wave4(p[3].p()); q3 = Wave4(p[2].p()); q4 = Wave4(p[4].p());
  // K_L0, pi-, K_L0 decay.
  } else if (mode == KlKlPim) {
    q2 = Wave4(p[2].p()); q3 = Wave4(p[4].p()); q4 = Wave4(p[3].p());
  // K_S0, pi-, K_L0 decay.
  } else if (mode == KlPimKs) {
    q2 = Wave4(p[4].p()); q3 = Wave4(p[3].p()); q4 = Wave4(p[2].p());
  } // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km) {
    q2 = Wave4(p[4].p()); q3 = Wave4(p[2].p()); q4 = Wave4(p[3].p());
  } // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km) {
    q2 = Wave4(p[2].p()); q3 = Wave4(p[3].p()); q4 = Wave4(p[4].p());
  } // K-, pi-, pi+ decay.
  else if (mode == PimPipKm) {
    q2 = Wave4(p[4].p()); q3 = Wave4(p[2].p()); q4 = Wave4(p[3].p());
  } // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b) {
    q2 = Wave4(p[3].p()); q3 = Wave4(p[4].p()); q4 = Wave4(p[2].p());
  } // pi-, pi0, eta decay.
  else if (mode == Pi0PimEta) {
    q2 = Wave4(p[3].p()); q3 = Wave4(p[2].p()); q4 = Wave4(p[4].p());
  }

}

//--------------------------------------------------------------------------

// Return the phase space factor for the a1. Implements equation 3.16 of Z.
// Phys. C48 (1990) 445-452.

double HMETau2ThreeMesons::a1PhaseSpace(double s) {
  
  double piM  = 0.13957; // Mass of the charged pion.
  double rhoM = 0.773;   // Mass of the rho.
  if (s < pow2(3 * piM))
    return 0;
  else if (s < pow2(rhoM + piM)) {
    double sum = (s - 9 * piM * piM);
    return 4.1 * sum * sum * sum * (1 - 3.3 * sum + 5.8 * sum * sum);
  }
  else
    return s * (1.623 + 10.38 / s - 9.32 / (s * s) + 0.65 / (s * s * s));

}

//--------------------------------------------------------------------------

// Return the Breit-Wigner for the a1. Implements equation 3.18
// of Z. Phys. C48 (1990) 445-452.

complex HMETau2ThreeMesons::a1BreitWigner(double s) {

  double a1M = 1.251; // Mass of the a1.
  double a1G = 0.475; // Width of the a1.
  return a1M * a1M / (a1M * a1M - s - complex(0,1) * a1M * a1G
                      * a1PhaseSpace(s) / a1PhaseSpace(a1M * a1M));
  
}

//--------------------------------------------------------------------------

// Return summed weighted running p Breit-Wigner resonances.

complex HMETau2ThreeMesons::T(double m0, double m1, double s,
  vector &M, vector &G, vector &W) {

  complex num(0, 0);
  double  den(0);
  for (unsigned int i = 0; i < M.size(); i++) {
    num += W[i] * pBreitWigner(m0, m1, s, M[i], G[i]);
    den += W[i];
  }
  return num / den;

}

//--------------------------------------------------------------------------

// Return summed weighted fixed width Breit-Wigner resonances.

complex HMETau2ThreeMesons::T(double s, vector &M,
  vector &G, vector &W) {

  complex num(0, 0);
  double  den(0);
  for (unsigned int i = 0; i < M.size(); i++) {
    num += W[i] * breitWigner(s, M[i], G[i]);
    den += W[i];
  }
  return num / den;

}

//==========================================================================

// Tau decay matrix element for tau decay into three pions. This matrix element
// is taken from the Herwig++ implementation based on the CLEO fits.

// rhoM: on-shell masses for the rho resonances
// rhoG: on-shell widths for the rho resonances
// rhoPp: p-wave phase for the rho coupling to the a1
// rhoAp: p-wave amplitude for the rho coupling to the a1
// rhoPd: d-wave phase for the rho coupling to the a1
// rhoAd: d-wave amplitude for the rho coupling to the a1
// f0M: f0 on-shell mass
// f0G: f0 on-shell width
// f0P: phase for the coupling of the f0 to the a1
// f0A: amplitude for the coupling of the f0 to the a1
// f2M: f2 on-shell mass
// f2G: f2 on-shell width
// f2P: phase for the coupling of the f2 to the a1
// f2P: amplitude for the coupling of the f2 to the a1
// sigM: sigma on-shell mass
// sigG: sigma on-shell width
// sigP: phase for the coupling of the sigma to the a1
// sigA: amplitude for the coupling of the sigma to the a1

//--------------------------------------------------------------------------

// Initialize resonance constants for the helicity matrix element.

void HMETau2ThreePions::initResonances() {

  // Three charged pion decay.
  if (mode == PimPimPip) DECAYWEIGHTMAX = 6000;

  // Two neutral and one charged pion decay.
  else DECAYWEIGHTMAX = 3000;

  // Clear the vectors from previous decays.
  rhoM.clear(); rhoG.clear();
  rhoPp.clear(); rhoAp.clear(); rhoWp.clear();
  rhoPd.clear(); rhoAd.clear(); rhoWd.clear();

  // Rho parameters.
  rhoM.push_back(.7743);      rhoM.push_back(1.370);    rhoM.push_back(1.720);
  rhoG.push_back(.1491);      rhoG.push_back(.386);     rhoG.push_back(.250);
  rhoPp.push_back(0);         rhoPp.push_back(3.11018); rhoPp.push_back(0);
  rhoAp.push_back(1);         rhoAp.push_back(0.12);    rhoAp.push_back(0);
  rhoPd.push_back(-0.471239); rhoPd.push_back(1.66504); rhoPd.push_back(0);
  rhoAd.push_back(3.7e-07);   rhoAd.push_back(8.7e-07); rhoAd.push_back(0);

  // Scalar and tensor parameters.
  f0M  = 1.186;    f2M  = 1.275;   sigM = 0.860;
  f0G  = 0.350;    f2G  = 0.185;   sigG = 0.880;
  f0P  = -1.69646; f2P  = 1.75929; sigP = 0.722566;
  f0A  = 0.77;     f2A  = 7.1e-07; sigA = 2.1;

  // Calculate the weights from the phases and amplitudes.
  calculateResonanceWeights(rhoPp, rhoAp, rhoWp);
  calculateResonanceWeights(rhoPd, rhoAd, rhoWd);
  f0W  = f0A  * (cos(f0P)  + complex(0,1) * sin(f0P));
  f2W  = f2A  * (cos(f2P)  + complex(0,1) * sin(f2P));
  sigW = sigA * (cos(sigP) + complex(0,1) * sin(sigP));

}

//--------------------------------------------------------------------------

// Return the first form factor.

complex HMETau2ThreePions::F1() {

  complex answer(0,0);

  // Three charged pion decay.
  if (mode == PimPimPip) {
    for (unsigned int i = 0; i < rhoM.size(); i++) {
      answer += - rhoWp[i] * pBreitWigner(pM[3], pM[4], s2, rhoM[i], rhoG[i])
        - rhoWd[i] / 3.0 * pBreitWigner(pM[2], pM[4], s3, rhoM[i], rhoG[i])
        * (s2 - s4);
    }
    answer += -2.0 / 3.0 * (sigW * sBreitWigner(pM[2], pM[4], s3, sigM, sigG)
            + f0W * sBreitWigner(pM[2], pM[4], s3, f0M, f0G));
    answer += f2W * (0.5 * (s4 - s3)
            * dBreitWigner(pM[3], pM[4], s2, f2M, f2G)
            - 1.0 / (18 * s3) * (4 * pow2(pM[2]) - s3)
            * (s1 + s3 - pow2(pM[2]))
            * dBreitWigner(pM[2], pM[4], s3, f2M, f2G));
  }

  // Two neutral and one charged pion decay.
  else {
    for (unsigned int i = 0; i < rhoM.size(); i++) {
      answer += rhoWp[i] * pBreitWigner(pM[3], pM[4], s2, rhoM[i], rhoG[i])
        - rhoWd[i] / 3.0 * pBreitWigner(pM[2], pM[4], s3, rhoM[i], rhoG[i])
        * (s4 - s2 - pow2(pM[4]) + pow2(pM[2]));
    }
    answer += 2.0 / 3.0 * (sigW * sBreitWigner(pM[2], pM[3], s4, sigM, sigG)
      + f0W * sBreitWigner(pM[2], pM[3], s4, f0M, f0G));
    answer += f2W / (18 * s4) * (s1 - pow2(pM[4]) + s4)
      * (4 * pow2(pM[2]) - s4) * dBreitWigner(pM[2], pM[3], s4, f2M, f2G);
  }
  return a1BW * answer;

}

//--------------------------------------------------------------------------

// Return the second form factor.

complex HMETau2ThreePions::F2() {

  complex answer(0,0);

  // Three charged pion decay.
  if (mode == PimPimPip) {
    for (unsigned int i = 0; i  < rhoM.size(); i++) {
      answer += -rhoWp[i] * pBreitWigner(pM[2], pM[4], s3, rhoM[i], rhoG[i])
        - rhoWd[i] / 3.0 * pBreitWigner(pM[3], pM[4], s2, rhoM[i], rhoG[i])
        * (s3 - s4);
    }
    answer += -2.0 / 3.0 * (sigW * sBreitWigner(pM[3], pM[4], s2, sigM, sigG)
      + f0W * sBreitWigner(pM[3], pM[4], s2, f0M, f0G));
    answer += f2W * (0.5 * (s4 - s2)
      * dBreitWigner(pM[2], pM[4], s3, f2M, f2G)
      - 1.0 / (18 * s2) * (4 * pow2(pM[2]) - s2) * (s1 + s2 - pow2(pM[2]))
      * dBreitWigner(pM[3], pM[4], s2, f2M, f2G));
  }

  // Two neutral and one charged pion decay.
  else {
    for (unsigned int i = 0; i < rhoM.size(); i++) {
        answer += -rhoWp[i] / 3.0 *
          pBreitWigner(pM[2], pM[4], s3, rhoM[i], rhoG[i]) -
          rhoWd[i] * pBreitWigner(pM[3], pM[4], s2, rhoM[i], rhoG[i]) *
          (s4 - s3 - pow2(pM[4]) + pow2(pM[3]));
    }
    answer += 2.0 / 3.0 * (sigW * sBreitWigner(pM[2], pM[3], s4, sigM, sigG)
                             + f0W * sBreitWigner(pM[2], pM[3], s4, f0M, f0G));
    answer += f2W / (18 * s4) * (s1 - pow2(pM[4]) + s4) *
        (4 * pow2(pM[2]) - s4) * dBreitWigner(pM[2], pM[3], s4, f2M, f2G);
  }
  return -a1BW * answer;

}

//--------------------------------------------------------------------------

// Return the third form factor.

complex HMETau2ThreePions::F3() {

  complex answer(0,0);

  // Three charged pion decay.
  if (mode == PimPimPip) {
    for (unsigned int i = 0; i < rhoM.size(); i++) {
      answer += -rhoWd[i] * (1.0 / 3.0 * (s3 - s4)
        * pBreitWigner(pM[3], pM[4], s2, rhoM[i], rhoG[i]) - 1.0 / 3.0
        * (s2 - s4) * pBreitWigner(pM[2], pM[4], s3, rhoM[i], rhoG[i]));
    }
    answer += -2.0 / 3.0 * (sigW * sBreitWigner(pM[3], pM[4], s2, sigM, sigG)
      + f0W * sBreitWigner(pM[3], pM[4], s2, f0M, f0G));
    answer += 2.0 / 3.0 * (sigW * sBreitWigner(pM[2], pM[4], s3, sigM, sigG)
      + f0W * sBreitWigner(pM[2], pM[4], s3, f0M, f0G));
    answer += f2W * (-1.0 / (18 * s2) * (4 * pow2(pM[2]) - s2)
      * (s1 + s2 - pow2(pM[2])) * dBreitWigner(pM[3], pM[4], s2, f2M, f2G)
      + 1.0 / (18 * s3) * (4 * pow2(pM[2]) - s3) * (s1 + s3 - pow2(pM[2]))
      * dBreitWigner(pM[2], pM[4], s3, f2M, f2G));
  }

  // Two neutral and one charged pion decay.
  else {
    for (unsigned int i = 0; i < rhoM.size(); i++) {
      answer += rhoWd[i] * (-1.0 / 3.0 * (s4 - s3 - pow2(pM[4]) + pow2(pM[3]))
        * pBreitWigner(pM[3], pM[4], s2, rhoM[i], rhoG[i])
        + 1.0 / 3.0 * (s4 - s2 - pow2(pM[4]) + pow2(pM[2]))
        * pBreitWigner(pM[2], pM[4], s3, rhoM[i], rhoG[i]));
    }
    answer += -f2W / 2.0 * (s2 - s3)
      * dBreitWigner(pM[2], pM[3], s4, f2M, f2G);
  }
  return a1BW * answer;

}

//--------------------------------------------------------------------------

// Return the running width for the a1 (multiplied by a factor of a1M).

double HMETau2ThreePions::a1PhaseSpace(double s) {

  double picM = 0.1753; // (m_pi^- + m_pi^- + m_pi^+)^2
  double pinM = 0.1676; // (m_pi^0 + m_pi^0 + m_pi^-)^2
  double kM   = 0.496;  // K mass.
  double ksM  = 0.894;  // K^* mass.
  double picG = 0;      // Width contribution from three charged pions.
  double pinG = 0;      // Width contribution from two neutral one charged.
  double kG   = 0;      // Width contributions from s-wave K K^*.
  double piW  = pow2(0.2384)/1.0252088; // Overall weight factor.
  double kW   = pow2(4.7621);           // K K^* width weight factor.

  // Three charged pion width contribution.
  if (s < picM)
    picG = 0;
  else if (s < 0.823)
    picG = 5.80900 * pow3(s - picM) * (1.0 - 3.00980 * (s - picM) +
                                         4.5792 * pow2(s - picM));
  else
    picG = -13.91400 + 27.67900 * s - 13.39300 * pow2(s) + 3.19240 * pow3(s)
        - 0.10487 * pow4(s);

  // Two neutral and one charged pion width contribution.
  if (s < pinM)
    pinG = 0;
  else if (s < 0.823)
    pinG = 6.28450 * pow3(s - pinM) * (1.0 - 2.95950 * (s - pinM) +
                                         4.33550 * pow2(s - pinM));
  else
    pinG = -15.41100 + 32.08800 * s - 17.66600 * pow2(s) + 4.93550 * pow3(s)
        - 0.37498 * pow4(s);

  // K and K^* width contribution.
  if (s > pow2(ksM + kM))
    kG = 0.5 * sqrt((s - pow2(ksM + kM)) * (s - pow2(ksM - kM))) / s;
  return piW*(picG + pinG + kW*kG);

}

//--------------------------------------------------------------------------

// Return the Breit-Wigner for the a1.

complex HMETau2ThreePions::a1BreitWigner(double s) {

  double a1M = 1.331; // Mass of the a1.
  return a1M*a1M/(a1M*a1M - s - complex(0,1)*a1PhaseSpace(s));
  
}

//==========================================================================
  
// Tau decay matrix element for tau decay into three mesons with kaons.
// The form factors are taken from hep-ph/9503474.

// rhoMa(v): on-shell masses for the axial (vector) rho resonances
// rhoGa(v): widths for the axial (vector) rho resonances
// rhoWa(v): weights for the axial (vector) rho resonances
// kstarXa(v): on-shell masses, widths, and weights for the K* resonances
// k1Xa(b): on-shell masses, width, and weight for the K1 resonances,
//          the a constants are for K1 -> K* pi, K* -> K pi
//          the b constants are for K1 -> rho K, rho -> pi pi
// omegaX: on-shell masses, width, and weights for the omega reosnances
// kM:  kaon mass
// piM: charged pion mass
// piW: pion coupling, f_W

//--------------------------------------------------------------------------

// Initialize resonance constants for the helicity matrix element.

void HMETau2ThreeMesonsWithKaons::initResonances() {

  // K-, pi-, K+ decay.
  if (mode == PimKmKp) DECAYWEIGHTMAX = 130;
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0) DECAYWEIGHTMAX = 115;
  // K_S0, pi-, K_S0 and K_L0, pi-, K_L0 decay.
  else if (mode == PimKsKs || mode == KlKlPim) DECAYWEIGHTMAX = 230;
  // K_S0, pi-, K_L0 decay.
  else if (mode == KlPimKs) DECAYWEIGHTMAX = 230;
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km) DECAYWEIGHTMAX = 125;
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km) DECAYWEIGHTMAX = 2.5e4;
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm) DECAYWEIGHTMAX = 1.8e4;
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b) DECAYWEIGHTMAX = 3.9e4;
 
  // Clear the vectors from previous decays.
  rhoMa.clear();   rhoGa.clear();   rhoWa.clear();
  rhoMv.clear();   rhoGv.clear();   rhoWv.clear();
  kstarMa.clear(); kstarGa.clear(); kstarWa.clear();
  kstarMv.clear(); kstarGv.clear(); kstarWv.clear();
  k1Ma.clear();    k1Ga.clear();    k1Wa.clear();
  k1Mb.clear();    k1Gb.clear();    k1Wb.clear();
  omegaM.clear();  omegaG.clear();  omegaW.clear();

  // Rho parameters.
  rhoMa.push_back(0.773); rhoGa.push_back(0.145); rhoWa.push_back(1);
  rhoMa.push_back(1.370); rhoGa.push_back(0.510); rhoWa.push_back(-0.145);
  rhoMv.push_back(0.773); rhoGv.push_back(0.145); rhoWv.push_back(1);
  rhoMv.push_back(1.500); rhoGv.push_back(0.220); rhoWv.push_back(-6.5 / 26.0);
  rhoMv.push_back(1.750); rhoGv.push_back(0.120); rhoWv.push_back(-1.0 / 26.0);

  // Kstar parameters.
  kstarMa.push_back(0.892); kstarGa.push_back(0.050);
  kstarMa.push_back(1.412); kstarGa.push_back(0.227);
  kstarWa.push_back(1);
  kstarWa.push_back(-0.135);
  kstarMv.push_back(0.892); kstarGv.push_back(0.050);
  kstarMv.push_back(1.412); kstarGv.push_back(0.227);
  kstarMv.push_back(1.714); kstarGv.push_back(0.323);
  kstarWv.push_back(1);
  kstarWv.push_back(-6.5 / 26.0);
  kstarWv.push_back(-1.0 / 26.0);

  // K1 parameters.
  k1Ma.push_back(1.270); k1Ga.push_back(0.090); k1Wa.push_back(0.33);
  k1Ma.push_back(1.402); k1Ga.push_back(0.174); k1Wa.push_back(1);
  k1Mb.push_back(1.270); k1Gb.push_back(0.090); k1Wb.push_back(1);

  // Omega and phi parameters.
  omegaM.push_back(0.782); omegaG.push_back(0.00843); omegaW.push_back(1);
  omegaM.push_back(1.020); omegaG.push_back(0.00443); omegaW.push_back(0.05);
 
  // Kaon and pion parameters
  kM = 0.49765; piM = 0.13957; piW = 0.0942;
 
}
  
//--------------------------------------------------------------------------

// Return the first form factor.

complex HMETau2ThreeMesonsWithKaons::F1() {
  
  complex answer;
  // K-, pi-, K+ decay.
  if (mode == PimKmKp)
    answer = a1BW * T(piM, kM, s2, kstarMa, kstarGa, kstarWa) / 2.0;
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0)
    answer = a1BW * T(piM, kM, s2, kstarMa, kstarGa, kstarWa) / 2.0;
  // K_S0, pi-, K_S0 decay and K_L0, pi-, K_L0 decay.
  else if (mode == PimKsKs || mode == KlKlPim)
    answer = -a1BW * (T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
                      + T(piM, kM, s4, kstarMa, kstarGa, kstarWa)) / 2.0;
  // K_S0, pi-, K_L0 decay.
  else if (mode == KlPimKs)
    answer = a1BW * (T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
                      - T(piM, kM, s4, kstarMa, kstarGa, kstarWa)) / 2.0;
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km)
    answer = a1BW * (T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
                     - T(piM, kM, s4, kstarMa, kstarGa, kstarWa)) / 2.0;
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km)
    answer = T(s1, k1Ma, k1Ga, k1Wa)
      * T(piM, kM, s2, kstarMa, kstarGa, kstarWa);
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm)
    answer = T(s1, k1Mb, k1Gb, k1Wb)
      * T(piM, piM, s2, rhoMa, rhoGa, rhoWa);
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b)
    answer = T(s1, k1Ma, k1Ga, k1Wa)
      * (T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
         - T(piM, kM, s4, kstarMa, kstarGa, kstarWa));
  return -1.0 / 3.0 * answer;
}

//--------------------------------------------------------------------------

// Return the second form factor.

complex HMETau2ThreeMesonsWithKaons::F2() {
  
  complex answer;
  // K-, pi-, K+ decay.
  if (mode == PimKmKp)
    answer =  a1BW * T(piM, piM, s3, rhoMa, rhoGa, rhoWa) / 2.0;
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0)
    answer =  a1BW * T(piM, piM, s3, rhoMa, rhoGa, rhoWa) / 2.0;
  // K_S0, pi-, K_S0 decay and K_L0, pi-, K_L0 decay.
  else if (mode == PimKsKs || mode == KlKlPim)
    answer = a1BW * T(piM, kM, s4, kstarMa, kstarGa, kstarWa) / 2.0;
  // K_S0, pi-, K_L0 decay.
  else if (mode == KlPimKs)
    answer = a1BW * (2.0 * T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
                     + T(piM, kM, s4, kstarMa, kstarGa, kstarWa)) / 2.0;
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km)
    answer = a1BW * (2.0 * T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
                     + T(piM, kM, s4, kstarMa, kstarGa, kstarWa)) / 2.0;
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km)
    answer = T(s1, k1Ma, k1Ga, k1Wa)
      * T(piM, kM, s3, kstarMa, kstarGa, kstarWa);
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm)
    answer = T(s1, k1Ma, k1Ga, k1Wa)
      * T(piM, kM, s3, kstarMa, kstarGa, kstarWa);
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b)
    answer = 2.0 * T(s1, k1Mb, k1Gb, k1Wb)
      * T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
      + T(s1, k1Ma, k1Ga, k1Wa) * T(piM, kM, s4, kstarMa, kstarGa, kstarWa);
  return 1.0 / 3.0 * answer;

}

//--------------------------------------------------------------------------

// Return the fourth form factor.

complex HMETau2ThreeMesonsWithKaons::F4() {

  complex answer;
  // K-, pi-, K+ decay.
  if (mode == PimKmKp)
    answer = (sqrt(2.) - 1) * T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (sqrt(2.) * T(s3, omegaM, omegaG, omegaW)
         + T(piM, kM, s2, kstarMa, kstarGa, kstarWa));
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0)
    answer = -(sqrt(2.) - 1) * T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (sqrt(2.) * T(s3, omegaM, omegaG, omegaW)
         + T(piM, kM, s2, kstarMa, kstarGa, kstarWa));
  // K_S0, pi-, K_S0 decay and K_L0, pi-, K_L0 decay.
  else if (mode == PimKsKs || mode == KlKlPim)
    answer = (sqrt(2.) - 1) * T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
         - T(piM, kM, s4, kstarMa, kstarGa, kstarWa));
  // K_S0, pi-, K_L0 decay.
  else if (mode == KlPimKs)
    answer = -(sqrt(2.) - 1) * T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (2 * sqrt(2.) * T(s3, omegaM, omegaG, omegaW)
         + T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
         + T(piM, kM, s4, kstarMa, kstarGa, kstarWa));
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km)
    answer = -(sqrt(2.) - 1) * T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (T(piM, kM, s4, kstarMa, kstarGa, kstarWa)
         - T(piM, kM, s2, kstarMa, kstarGa, kstarWa));
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km)
    answer = T(piM, kM, s1, kstarMv, kstarGv, kstarWv)
      * (T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
         - T(piM, kM, s3, kstarMa, kstarGa, kstarWa));
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm)
    answer = -T(piM, kM, s1, kstarMv, kstarGv, kstarWv)
      * (T(piM, piM, s2, rhoMa, rhoGa, rhoWa)
         + T(piM, kM, s3, kstarMa, kstarGa, kstarWa));
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b)
    answer = T(piM, kM, s1, kstarMv, kstarGv, kstarWv)
      * (2.0 * T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
         + T(piM, kM, s2, kstarMa, kstarGa, kstarWa)
         + T(piM, kM, s4, kstarMa, kstarGa, kstarWa));
  return 1.0 / (8.0 * M_PI * M_PI * piW * piW) * answer;

}

//==========================================================================
  
// Tau decay matrix element for tau decay into three mesons. The form
// factors are taken from Comp. Phys. Com. 76 (1993) 361-380.

// rhoMa(v): on-shell masses for the axial (vector) rho resonances
// rhoGa(v): widths for the axial (vector) rho resonances
// rhoWa(v): weights for the axial (vector) rho resonances
// kstarX: on-shell masses, widths, and weights for the K* resonances
// k1X: on-shell masses, width, and weight for the K1 resonances
// kM:  kaon mass
// piM: charged pion mass
// piW: pion coupling, f_W

//--------------------------------------------------------------------------

// Initialize resonances for the helicity matrix element.

void HMETau2ThreeMesonsGeneric::initResonances() {

  // pi-, pi-, pi+ decay and pi0, pi0, pi- decay.
  if (mode == PimPimPip || mode == Pi0Pi0Pim) DECAYWEIGHTMAX = 1.3e4;
  // K-, pi-, K+ decay.
  else if (mode == PimKmKp) DECAYWEIGHTMAX = 330;
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0) DECAYWEIGHTMAX = 300;
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km) DECAYWEIGHTMAX = 40;
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km) DECAYWEIGHTMAX = 9.4e4;
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm) DECAYWEIGHTMAX = 9.0e3;
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b) DECAYWEIGHTMAX = 1.2e4;
  // pi-, pi0, eta decay.
  else if (mode == Pi0PimEta) DECAYWEIGHTMAX = 360;

  // Clear the vectors from previous decays.
  rhoMa.clear();   rhoGa.clear();   rhoWa.clear();
  rhoMv.clear();   rhoGv.clear();   rhoWv.clear();
  kstarM.clear();  kstarG.clear();  kstarW.clear();
  k1M.clear();     k1G.clear();     k1W.clear();

  // Rho parameters.
  rhoMa.push_back(0.773); rhoGa.push_back(0.145); rhoWa.push_back(1);
  rhoMa.push_back(1.370); rhoGa.push_back(0.510); rhoWa.push_back(-0.145);
  rhoMv.push_back(0.773); rhoGv.push_back(0.145); rhoWv.push_back(-26);
  rhoMv.push_back(1.5);   rhoGv.push_back(0.220); rhoWv.push_back(6.5);
  rhoMv.push_back(1.75);  rhoGv.push_back(0.120); rhoWv.push_back(1);

  // Kaon parameters.
  kstarM.push_back(0.892); kstarG.push_back(0.0513); kstarW.push_back(1);
  k1M.push_back(1.402);    k1G.push_back(0.174);     k1W.push_back(1);

  // Kaon and pion parameters
  kM = 0.49765; piM = 0.13957; piW = 0.0942;

}
  
//--------------------------------------------------------------------------

// Return the first form factor.

complex HMETau2ThreeMesonsGeneric::F1() {
  
  complex answer;
  // pi-, pi-, pi+ decay and pi0, pi0, pi- decay.
  if (mode == PimPimPip || mode == Pi0Pi0Pim)
    answer = a1BW * T(piM, piM, s2, rhoMa, rhoGa, rhoWa);
  // K-, pi-, K+ decay.
  else if (mode == PimKmKp)
    answer = -a1BW * T(piM, kM, s2, kstarM, kstarG, kstarW) / 3.0;
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0)
    answer = -a1BW * T(piM, kM, s2, kstarM, kstarG, kstarW) / 3.0;
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km)
    answer = 0;
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km)
    answer = T(s1, k1M, k1G, k1W) * T(piM, kM, s2, kstarM, kstarG, kstarW);
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm)
    answer = -T(s1, k1M, k1G, k1W) * T(piM, piM, s2, rhoMa, rhoGa, rhoWa)
           / 3.0;
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b)
    answer = 0;
  // pi-, pi0, eta decay.
  else if (mode == Pi0PimEta)
    answer = 0;
  return answer;

}

//--------------------------------------------------------------------------

// Return the second form factor.

complex HMETau2ThreeMesonsGeneric::F2() {
  
  complex answer;
  // pi-, pi-, pi+ decay and pi0, pi0, pi- decay.
  if (mode == PimPimPip || mode == Pi0Pi0Pim)
    answer =  -a1BW * T(piM, piM, s3, rhoMa, rhoGa, rhoWa);
  // K-, pi-, K+ decay.
  else if (mode == PimKmKp)
    answer = a1BW * T(piM, piM, s3, rhoMa, rhoGa, rhoWa) / 3.0;
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0)
    answer = a1BW * T(piM, piM, s3, rhoMa, rhoGa, rhoWa) / 3.0;
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km)
    answer = a1BW * T(piM, piM, s3, rhoMa, rhoGa, rhoWa);
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km)
    answer = -T(s1, k1M, k1G, k1W) * T(piM, kM, s3, kstarM, kstarG, kstarW);
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm)
    answer = T(s1, k1M, k1G, k1W)
      * T(piM, kM, s3, kstarM, kstarG, kstarW) / 3.0;
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b)
    answer = T(s1, k1M, k1G, k1W) * T(piM, piM, s3, rhoMa, rhoGa, rhoWa);
  // pi-, pi0, eta decay.
  else if (mode == Pi0PimEta)
    answer = 0;
  return answer;

}

//--------------------------------------------------------------------------

// Return the fourth form factor.

complex HMETau2ThreeMesonsGeneric::F4() {

  complex answer;
  // pi-, pi-, pi+ decay and pi0, pi0, pi- decay.
  if (mode == PimPimPip || mode == Pi0Pi0Pim)
    answer = 0;
  // K-, pi-, K+ decay.
  else if (mode == PimKmKp)
    answer = T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
         - 0.2 * T(piM, kM, s2, kstarM, kstarG, kstarW)) * (1.25);
  // K0, pi-, Kbar0 decay.
  else if (mode == PimK0bK0)
    answer = -T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * (T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
         - 0.2 * T(piM, kM, s2, kstarM, kstarG, kstarW)) * (1.25);
  // K-, pi0, K0 decay.
  else if (mode == Pi0K0Km)
    answer = 0;
  // pi0, pi0, K- decay.
  else if (mode == Pi0Pi0Km)
    answer = 0;
  // K-, pi-, pi+ decay.
  else if (mode == PimPipKm)
    answer = -T(piM, kM, s1, kstarM, kstarG, kstarW)
      * (T(piM, piM, s2, rhoMa, rhoGa, rhoWa)
         - 0.2 * T(piM, kM, s3, kstarM, kstarG, kstarW)) * (1.25);
  // pi-, Kbar0, pi0 decay.
  else if (mode == Pi0PimK0b)
    answer = 2.0 * T(piM, kM, s1, kstarM, kstarG, kstarW)
      * (T(piM, piM, s3, rhoMa, rhoGa, rhoWa)
         - 0.2 * T(piM, kM, s2, kstarM, kstarG, kstarW)) * (1.25);
  // pi-, pi0, eta decay.
  else if (mode == Pi0PimEta)
    answer = T(piM, piM, s1, rhoMv, rhoGv, rhoWv)
      * T(piM, piM, s4, rhoMa, rhoGa, rhoWa);
  return 1.0 / (4.0 * M_PI * M_PI * piW * piW) * answer;

}

//==========================================================================

// Tau decay matrix element for tau decay into two pions with a photons taken
// from Comp. Phys. Com. 76 (1993) 361-380. Because a photon is in the final
// state the matrix element is reimplented to handle the two spin states.

// F(s, M, G, W): form factor for resonance
// rhoM: on-shell mass of the rho resonances
// rhoG: width of the rho resonances
// rhoW: weight of the rho resonances
// omegaX: on-shell mass, width, and weight of the omega resonances
// piM: charged pion mass

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2TwoPionsGamma::initConstants() {

  DECAYWEIGHTMAX = 4e4;

  // Clear the vectors from previous decays.
  rhoM.clear();   rhoG.clear();   rhoW.clear();
  omegaM.clear(); omegaG.clear(); omegaW.clear();
  
  // Set parameters.
  rhoM.push_back(0.773);   rhoG.push_back(0.145);    rhoW.push_back(1);
  rhoM.push_back(1.7);     rhoG.push_back(0.26);     rhoW.push_back(-0.1);
  omegaM.push_back(0.782); omegaG.push_back(0.0085); omegaW.push_back(1);
  piM = 0.13957;
 
}

//--------------------------------------------------------------------------

// Initialize wave functions for the helicity matrix element.
void HMETau2TwoPionsGamma::initWaves(vector& p) {

  // Calculate the hadronic current.
  u.clear();
  pMap.resize(p.size());
  setFermionLine(0, p[0], p[1]);

  // Calculate the hadronic current.
  vector< Wave4 > u2;
  Wave4 q(p[2].p() + p[3].p() + p[4].p());
  Wave4 q2(p[2].p()), q3(p[3].p()), q4(p[4].p());
  double s1 = m2(q);
  double s2 = m2(q3 + q2);
  complex f = F(s1, rhoM, rhoG, rhoW) * F(0, rhoM, rhoG, rhoW)
    * F(s2, omegaM, omegaG, omegaW);
  double q4q2 = m2(q4, q2);
  double q4q3 = m2(q4, q3);
  double q3q2 = m2(q3, q2);
  for (int h = 0; h < 2; h++) {
    Wave4 e = p[2].wave(h);
    complex q4e = q4*gamma[4]*e;
    complex q3e = q3*gamma[4]*e;
    u2.push_back(f * (e * (piM*piM*q4q2 - q3q2*(q4q3 - q4q2))
                      - q3 * (q3e*q4q2 - q4e*q3q2)
                      + q2 * (q3e*q4q3 - q4e*(piM*piM + q3q2))));
  }
  u.push_back(u2);

}

//--------------------------------------------------------------------------

// Return element for the helicity matrix element.
complex HMETau2TwoPionsGamma::calculateME(vector h) {

  complex answer(0,0);
  for (int mu = 0; mu <= 3; mu++) {
    answer +=
        (u[1][h[pMap[1]]] * gamma[mu] * (1 - gamma[5]) * u[0][h[pMap[0]]])
        * gamma[4](mu,mu) * u[2][h[2]](mu);
  }
  return answer;

}

//--------------------------------------------------------------------------

// Return the form factor.
complex HMETau2TwoPionsGamma::F(double s, vector M, vector G,
                                vector W) {

  complex answer(0, 0);
  for (unsigned int i = 0; i < M.size(); i++)
    answer += W[i] / (M[i]*M[i] - s - complex(0, 1) * M[i] * G[i]);
  return answer;

}

//==========================================================================

// Tau decay matrix element for tau decay into pions using the Novosibirsk
// model of Comp. Phys. Com. 174 (2006) 818-835.

// G(i,s): G-factor for index 1, 2, or 3
// tX(q,q1,q2,q3,q4): combined resonance current
// a1D(s): a1 Breit-Wigner denominator
// rhoD(s): rho Breit-Wigner denominator
// sigD(s): sigma Breit-Wigner denominator
// omeD(s): omega Breit-Wigner denominator
// a1FormFactor(s): form factor for the a1 resonance
// rhoFormFactor1(2)(s): form factor for the rho resonance
// omeFormFactor(s): form factor for the omega resonance
// sigM: on-shell mass of the sigma resonance
// sigG: width of the sigma resonance
// sigA: amplitude of the sigma resonance
// sigP: phase of the sigma resonance
// sigW: weight of the sigma resonance (from amplitude and weight)
// omeX: mass, width, amplitude, phase, and weight of the omega resonance
// a1X: mass and width of the a1 resonance
// rhoX: mass and width of the rho resonance
// picM: charge pion mass
// pinM: neutral pion mass
// lambda2: a1 form factor cut-off

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2FourPions::initConstants() {

  if (abs(pID[3]) == 111) DECAYWEIGHTMAX = 5e8;
  else DECAYWEIGHTMAX = 5e9;
  pinM  = particleDataPtr->m0(111);
  picM  = particleDataPtr->m0(211);
  sigM = 0.8;     omeM = 0.782;   a1M  = 1.23; rhoM = 0.7761;
  sigG = 0.8;     omeG = 0.00841; a1G  = 0.45; rhoG = 0.1445;
  sigP = 0.43585; omeP = 0.0;
  sigA = 1.39987; omeA = 1.0;
  sigW = sigA*(cos(sigP)+complex(0,1)*sin(sigP));
  omeW = omeA*(cos(omeP)+complex(0,1)*sin(omeP));
  lambda2 = 1.2;

}

//--------------------------------------------------------------------------

// Initialize the hadronic current for the helicity matrix element.

void HMETau2FourPions::initHadronicCurrent(vector& p) {

  vector< Wave4 > u2;

  // Create pion momenta.
  Wave4 q(p[2].p() + p[3].p() + p[4].p()+ p[5].p());
  Wave4 q2(p[2].p()), q3(p[3].p()), q4(p[4].p()), q5(p[5].p());

  // Calculate the four pion system energy.
  double s = m2(q);

  // Create the hadronic current for the 3 neutral pion channel.
  if (abs(pID[3]) == 111)
    u2.push_back(G(1,s)*(t1(q,q3,q4,q5,q2) + t1(q,q3,q2,q5,q4) +
                         t1(q,q4,q3,q5,q2) + t1(q,q4,q2,q5,q3) +
                         t1(q,q2,q3,q5,q4) + t1(q,q2,q4,q5,q3) +
                         t2(q,q3,q5,q4,q2) + t2(q,q4,q5,q3,q2) +
                         t2(q,q2,q5,q4,q3) - t2(q,q5,q3,q4,q2) -
                         t2(q,q5,q4,q3,q2) - t2(q,q5,q2,q4,q3)));

  // Create the hadronic current for the 3 charged pion channel.
  else if (abs(pID[3]) == 211)
    u2.push_back(G(2,s)*(t1(q,q3,q5,q4,q2) + t1(q,q4,q5,q3,q2) +
                         t1(q,q3,q4,q5,q2) + t1(q,q4,q3,q5,q2) +
                         t1(q,q2,q4,q3,q5) + t1(q,q2,q3,q4,q5) +
                         t2(q,q2,q4,q3,q5) + t2(q,q2,q3,q4,q5) -
                         t2(q,q3,q2,q4,q5) - t2(q,q4,q2,q3,q5)) +
                 G(3,s)*(t3(q,q3,q5,q4,q2) + t3(q,q4,q5,q3,q2) -
                         t3(q,q3,q4,q5,q2) - t3(q,q4,q3,q5,q2) -
                         t3(q,q3,q2,q4,q5) - t3(q,q4,q2,q3,q5)));
  u.push_back(u2);

}

//--------------------------------------------------------------------------

// Return the first t-vector.

Wave4 HMETau2FourPions::t1(Wave4 &q, Wave4 &q1, Wave4 &q2,
                           Wave4 &q3, Wave4 &q4) {

  Wave4  a1Q(q2 + q3 + q4);
  Wave4 rhoQ(q3 + q4);
  double  a1S = m2(a1Q);
  double rhoS = m2(rhoQ);

  // Needed to match Herwig++.
  double gM = sqrtpos(rhoM*rhoM - 4*picM*picM) * (rhoM*rhoM - 4*picM*picM)
    / rhoM;
  double dm = (rhoFormFactor1(0) - rhoFormFactor1(rhoM*rhoM) +
                 rhoM*rhoM * rhoFormFactor2(rhoM*rhoM)) / gM;
  return - a1FormFactor(a1S) / (a1D(a1S) * rhoD(rhoS)) * pow2(a1M) *
    (rhoM*rhoM + rhoM*rhoG*dm) *
    (m2(q,a1Q) *  (m2(q3,a1Q) * q4 - m2(q4,a1Q) * q3) +
     (m2(q,q4) * m2(q1,q3) - m2(q,q3) * m2(q1,q4)) * a1Q);

}

//--------------------------------------------------------------------------

// Return the second t-vector.

Wave4 HMETau2FourPions::t2(Wave4 &q, Wave4 &/*q1*/, Wave4 &q2,
                           Wave4 &q3, Wave4 &q4) {

  Wave4  a1Q(q2 + q3 + q4);
  Wave4 sigQ(q3 + q4);
  double  a1S = m2(a1Q);
  double sigS = m2(sigQ);
  return sigW * a1FormFactor(a1S) / (a1D(a1S) * sigD(sigS)) *
    pow2(a1M) * pow2(sigM) * (m2(q,a1Q) * a1S * q2 - m2(q,q2) * a1S * a1Q);

}

//--------------------------------------------------------------------------

// Return the third t-vector.

Wave4 HMETau2FourPions::t3(Wave4 &q, Wave4 &q1, Wave4 &q2,
                           Wave4 &q3, Wave4 &q4) {
  Wave4 omeQ(q2 + q3 + q4);
  Wave4 rhoQ(q3 + q4);
  double omeS = m2(omeQ);
  double rhoS = m2(rhoQ);

  // Needed to match Herwig++.
  double gM = sqrtpos(rhoM*rhoM - 4*picM*picM) * (rhoM*rhoM - 4*picM*picM)
    / rhoM;
  double dm = (rhoFormFactor1(0) - rhoFormFactor1(rhoM*rhoM) +
                 rhoM*rhoM * rhoFormFactor2(rhoM*rhoM)) / gM;
  return omeW * omeFormFactor(omeS) / (omeD(omeS) * rhoD(rhoS)) *
    pow2(omeM) * (rhoM*rhoM + rhoM*rhoG*dm) *
    ((m2(q,q3) * m2(q1,q4) - m2(q,q4) * m2(q1,q3)) * q2 +
     (m2(q,q4) * m2(q1,q2) - m2(q,q2) * m2(q1,q4)) * q3 +
     (m2(q,q2) * m2(q1,q3) - m2(q,q3) * m2(q1,q2)) * q4);

}

//--------------------------------------------------------------------------
  
// Return the D function for the a1(1260).

complex HMETau2FourPions::a1D(double s) {

  // rG is defined as the running width.
  double rG = 0;

  // The rho and pion cut off thresholds defined in the fit.
  double piM = 0.16960;
  double rM = 0.83425;

  // Fit of width below three pion mass threshold.
  if (s < piM)
    rG = 0;

  // Fit of width below pion and rho mass threshold.
  else if (s < rM)
    rG = 0.003052*pow3(s - piM)*(1.0 + 151.088*(s - piM) +
                                 174.495*pow2(s - piM));

  // Fit of width above pion and rho mass threshold.
  else
    rG = 2.60817 - 2.47790*s + 0.66539*pow2(s) - 0.0678183*pow3(s) +
        1.66577*(s-1.23701)/s;
  return s - a1M*a1M + complex(0,1) * sqrtpos(s) * rG;

}

//--------------------------------------------------------------------------

// Return the D function for the rho(770).

complex HMETau2FourPions::rhoD(double s) {

  double gQ = sqrtpos(s - 4*picM*picM) * (s - 4*picM*picM) / sqrtpos(s);
  double gM = sqrtpos(rhoM*rhoM - 4*picM*picM) * (rhoM*rhoM - 4*picM*picM)
    / rhoM;
  double dm = (rhoFormFactor1(s) - rhoFormFactor1(rhoM*rhoM) -
                 (s - rhoM*rhoM) * rhoFormFactor2(rhoM*rhoM)) / gM;

  // Ensure complex part is zero below available channel.
  if (s < 4*picM*picM) gQ = 0;
  return s - rhoM*rhoM - rhoM*rhoG*dm + complex(0,1)*rhoM*rhoG*(gQ/gM);

}

//--------------------------------------------------------------------------

// Return the D function for the sigma(800) (just s-wave running width).

complex HMETau2FourPions::sigD(double s) {

  // Sigma decay to two neutral pions for three neutral pion channel.
  double piM = abs(pID[3]) == 111 ? pinM : picM;
  double gQ = sqrtpos(1.0 - 4*piM*piM/s);
  double gM = sqrtpos(1.0 - 4*piM*piM/(sigM*sigM));
  return s - sigM*sigM + complex(0,1)*sigM*sigG*gQ/gM;

}

//--------------------------------------------------------------------------

// Return the D function for the omega(782).

complex HMETau2FourPions::omeD(double s) {

  double g = 0;
  double q = sqrtpos(s);
  double x = q - omeM;

  // Fit of width given in TAUOLA.
  if (s < 1)
    g = 1 + 17.560*x + 141.110*pow2(x) + 894.884*pow3(x) + 4977.35*pow4(x) +
        7610.66*pow5(x) - 42524.4*pow6(x);
  else
    g = -1333.26 + 4860*q - 6000.81*pow2(q) + 2504.97*pow3(q);
  if (g < 0) g = 0;
  return s - omeM*omeM + complex(0,1)*omeM*omeG*g;

}

//--------------------------------------------------------------------------

// Return the form factor for the a1.

double HMETau2FourPions::a1FormFactor(double s) {

  return pow2((1.0 + a1M*a1M/lambda2) / (1.0 + s/lambda2));

}

//--------------------------------------------------------------------------

// Return the form factor for the rho(770) (equivalent to h(s) in TAUOLA).

double HMETau2FourPions::rhoFormFactor1(double s) {

  double f = 0.;
  if (s > 4. * picM * picM) {
    double thr = sqrtpos(1 - 4. * picM * picM / s);
    f = thr * log((1. + thr) / (1. - thr)) * (s - 4. * picM * picM) / M_PI;
  } else if (s < 0.0000001) f = -8. * picM * picM / M_PI;
  return f;

}

//--------------------------------------------------------------------------

// Return the form factor for the rho(770) (equivalent to h(s) derivative).

double HMETau2FourPions::rhoFormFactor2(double s) {

  double f = sqrtpos(1 - 4*picM*picM/s);
  if (s > 4*picM*picM)
    f = f / (M_PI * s) * (s*f + (2*picM*picM + s)*log((1 + f) / (1 - f)));
  else
    f = 0;
  return f;

}

//--------------------------------------------------------------------------

// Return the form factor for the omega(782).

double HMETau2FourPions::omeFormFactor(double /*s*/) {

  return 1.0;

}

//--------------------------------------------------------------------------

// Return the G-functions given in TAUOLA using a piece-wise fit.

double HMETau2FourPions::G(int i, double s) {

  // Break points for the fits.
  double s0(0), s1(0), s2(0), s3(0), s4(0), s5(0);

  // Parameters for the fits.
  double a1(0), b1(0);
  double a2(0), b2(0), c2(0), d2(0), e2(0);
  double a3(0), b3(0), c3(0), d3(0), e3(0);
  double a4(0), b4(0);
  double a5(0), b5(0);

  // Three neutral pion parameters.
  if (i == 1) {
    s0 = 0.614403;      s1 = 0.656264;  s2 = 1.57896;
    s3 = 3.08198;       s4 = 3.12825;   s5 = 3.17488;
    a1 = -23383.7;      b1 = 38059.2;
    a2 = 230.368;       b2 = -4.39368;  c2 = 687.002;
    d2 = -732.581;      e2 = 207.087;
    a3 = 1633.92;       b3 = -2596.21;  c3 = 1703.08;
    d3 = -501.407;      e3 = 54.5919;
    a4 = -2982.44;      b4 = 986.009;
    a5 = 6948.99;       b5 = -2188.74;
  }

  // Three charged pion parameters.
  else if (i == 2) {
    s0 = 0.614403;      s1 = 0.635161;  s2 = 2.30794;
    s3 = 3.08198;       s4 = 3.12825;   s5 = 3.17488;
    a1 = -54171.5;      b1 = 88169.3;
    a2 = 454.638;       b2 = -3.07152;  c2 = -48.7086;
    d2 = 81.9702;       e2 = -24.0564;
    a3 = -162.421;      b3 = 308.977;   c3 = -27.7887;
    d3 = -48.5957;      e3 = 10.6168;
    a4 = -2650.29;      b4 = 879.776;
    a5 = 6936.99;       b5 = -2184.97;
  }

  // Omega mediated three charged pion parameters.
  else if (i == 3) {
    s0 = 0.81364;       s1 = 0.861709;  s2 = 1.92621;
    s3 = 3.08198;       s4 = 3.12825;   s5 = 3.17488;
    a1 = -84888.9;      b1 = 104332;
    a2 = 2698.15;       b2 = -3.08302;  c2 = 1936.11;
    d2 = -1254.59;      e2 = 201.291;
    a3 = 7171.65;       b3 = -6387.9;   c3 = 3056.27;
    d3 = -888.63;       e3 = 108.632;
    a4 = -5607.48;      b4 = 1917.27;
    a5 = 26573; b5 = -8369.76;
  }

  // Return the appropriate fit.
  if (s < s0)
    return 0.0;
  else if (s < s1)
   return a1 + b1*s;
  else if (s < s2)
    return a2*pow(s,b2) + c2*pow2(s) + d2*pow3(s) + e2*pow4(s);
  else if (s < s3)
    return a3 + b3*s + c3*pow2(s) + d3*pow3(s) + e3*pow4(s);
  else if (s < s4)
    return a4 + b4*s;
  else if (s < s5)
    return a5 + b5*s;
  else
    return 0.0;

}

//==========================================================================

// Tau decay matrix element for tau decay into five pions using the model given
// in hep-ph/0602162v1.

// Ja(q,q1,q2,q3,q4,q5): current through rho and omega resonances
// Jb(q,q1,q2,q3,q4,q5): current through a1 and sigma resonances
// breitWigner(s,M,G): s-wave Breit-Wigner assuming massless products
// a1M: on-shell mass of the a1 resonance
// a1G: width of the a1 resonance
// rhoX: mass and width of the rho resonance
// omegaX: mass, width, and weight of the omega resonance
// sigmaX: mass, width, and weight of the sigma resonance

//--------------------------------------------------------------------------

// Initialize constants for the helicity matrix element.

void HMETau2FivePions::initConstants() {
  
  // pi-, pi-, pi+, pi+, pi- decay.
  if (abs(pID[2]) == 211 && abs(pID[3]) == 211 && abs(pID[4]) == 211 &&
      abs(pID[5]) == 211 && abs(pID[6]) == 211)
    DECAYWEIGHTMAX = 4e4;
  // pi+, pi-, pi0, pi-, pi0 decay.
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 111 && abs(pID[4]) == 211 &&
           abs(pID[5]) == 211 && abs(pID[6]) == 211)
    DECAYWEIGHTMAX = 1e7;
  // pi0, pi0, pi-, pi0, pi0 decay.
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 111 && abs(pID[4]) == 111 &&
           abs(pID[5]) == 111 && abs(pID[6]) == 211)
    DECAYWEIGHTMAX = 1e5;

  // Set resonances.
  a1M    = 1.260; a1G    = 0.400;
  rhoM   = 0.776; rhoG   = 0.150;
  omegaM = 0.782; omegaG = 0.0085; omegaW = 11.5;
  sigmaM = 0.800; sigmaG = 0.600;  sigmaW = 1;

}

//--------------------------------------------------------------------------

// Initialize the hadronic current for the helicity matrix element.

void HMETau2FivePions::initHadronicCurrent(vector& p) {

  vector< Wave4 > u2;

  Wave4 q(p[2].p() + p[3].p() + p[4].p() + p[5].p() + p[6].p());
  Wave4 q2(p[2].p()), q3(p[3].p()), q4(p[4].p()), q5(p[5].p()), q6(p[6].p());
  // pi-, pi-, pi+, pi+, pi- decay.
  if (abs(pID[2]) == 211 && abs(pID[3]) == 211 && abs(pID[4]) == 211 &&
      abs(pID[5]) == 211 && abs(pID[6]) == 211)
    u2.push_back(Jb(q, q2, q3, q5, q6, q4) + Jb(q, q4, q3, q5, q6, q2)
                 + Jb(q, q2, q4, q5, q6, q3) + Jb(q, q2, q3, q6, q5, q4)
                 + Jb(q, q4, q3, q6, q5, q2) + Jb(q, q2, q4, q6, q5, q3));
  // pi+, pi-, pi0, pi-, pi0 decay.
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 111 && abs(pID[4]) == 211 &&
           abs(pID[5]) == 211 && abs(pID[6]) == 211)
    u2.push_back(Ja(q, q6, q4, q2, q5, q3) + Ja(q, q6, q5, q2, q4, q3)
                 + Ja(q, q6, q4, q3, q5, q2) + Ja(q, q6, q5, q3, q4, q2)
                 + Jb(q, q4, q5, q6, q2, q3) + Jb(q, q2, q3, q4, q6, q5)
                 + Jb(q, q2, q3, q5, q6, q4));
  // pi0, pi0, pi-, pi0, pi0 decay.
  else if (abs(pID[2]) == 111 && abs(pID[3]) == 111 && abs(pID[4]) == 111 &&
           abs(pID[5]) == 111 && abs(pID[6]) == 211)
    u2.push_back(Jb(q, q2, q3, q6, q4, q5) + Jb(q, q5, q3, q6, q4, q2)
                 + Jb(q, q3, q4, q6, q2, q5) + Jb(q, q2, q4, q6, q3, q5)
                 + Jb(q, q2, q5, q6, q4, q3) + Jb(q, q4, q5, q6, q2, q3));

  u.push_back(u2);

}

//--------------------------------------------------------------------------
  
// Return the omega-rho hadronic current.
  
Wave4 HMETau2FivePions::Ja(Wave4 &q, Wave4 &q1, Wave4 &q2,
                           Wave4 &q3, Wave4 &q4, Wave4 &q5) {

  Wave4 j = epsilon(q1, q2, q3);
  return omegaW * (breitWigner(m2(q), a1M, a1G)
                   * breitWigner(m2(q1 + q2 + q3), omegaM, omegaG)
                   * breitWigner(m2(q4 + q5), rhoM, rhoG)
                   * epsilon(q4 - q5, j, q)
                   * (breitWigner(m2(q2 + q3), rhoM, rhoG)
                      + breitWigner(m2(q1 + q3), rhoM, rhoG)
                      + breitWigner(m2(q1 + q2), rhoM, rhoG)));

}

//--------------------------------------------------------------------------
  
// Return the a1-sigma hadronic current.
  
Wave4 HMETau2FivePions::Jb(Wave4 &q, Wave4 &q1, Wave4 &q2,
                           Wave4 &q3, Wave4 &q4, Wave4 &q5) {
  
  double s = m2(q);
  Wave4  a1Q = q1 + q2 + q3;
  double a1S = m2(a1Q);
  Wave4 j = (m2(q2, q1 - q3) / a1S * a1Q - q1 + q3)
    * breitWigner(m2(q1 + q3), rhoM, rhoG)
    + (m2(q1, q2 - q3) / a1S * a1Q - q2 + q3)
    * breitWigner(m2(q2 + q3), rhoM, rhoG);
  j = (j * gamma[4] * q / s) * q - j;
  return sigmaW * (breitWigner(s, a1M, a1G) * breitWigner(a1S, a1M, a1G)
                   * breitWigner(m2(q4 + q5), sigmaM, sigmaG) * j);
  
}

  complex HMETau2FivePions::breitWigner(double s, double M, double G) {

    return M * M / (M * M - s - complex(0, 1) * M * G);

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/Settings.cc0000644000175000017500000024472412357054763015266 0ustar  sunsun// Settings.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the Settings class.

#include "Pythia8/Settings.h"

// Allow string and character manipulation.
#include 

namespace Pythia8 {

//==========================================================================

// Settings class.
// This class contains flags, modes, parms and words used in generation.

//--------------------------------------------------------------------------

// Read in database from specific file.

bool Settings::init(string startFile, bool append, ostream& os) {

  // Don't initialize if it has already been done and not in append mode.
  if (isInit && !append) return true;
  int nError = 0;

  // List of files to be checked. Start with input file.
  vector files;
  files.push_back(startFile);

  // If nontrivial startfile path, then use that for other files as well.
  string pathName = "";
  if (startFile.rfind("/") != string::npos)
    pathName = startFile.substr(0, startFile.rfind("/") + 1);

  // Loop over files. Open them for read.
  for (int i = 0; i < int(files.size()); ++i) {
    const char* cstring = files[i].c_str();
    ifstream is(cstring);

    // Check that instream is OK.
    if (!is.good()) {
      os << "\n PYTHIA Error: settings file " << files[i]
         << " not found" << endl;
      return false;
    }

    // Read in one line at a time.
    string line;
    while ( getline(is, line) ) {

      // Get first word of a line, to interpret it as tag.
      istringstream getfirst(line);
      string tag;
      getfirst >> tag;

      // Skip ahead if not interesting. Only look for new files in startfile.
      if (tag != ".
      while (line.find(">") == string::npos) {
        string addLine;
        getline(is, addLine);
        line += " " + addLine;
      }
      
      // Remove extra blanks before an = sign.
      while (line.find(" =") != string::npos) line.erase( line.find(" ="), 1);

      // Add file also to be read.
      if (tag == " value = boolVectorAttributeValue( line, "default=");
        addFVec( name, value);
        
      // Check for occurence of an int vector and add to mvec map.
      } else if (tag == " value = intVectorAttributeValue( line, "default=");
        int minVal = intAttributeValue( line, "min=");
        int maxVal = intAttributeValue( line, "max=");
        addMVec( name, value, hasMin, hasMax, minVal, maxVal);
        
      // Check for occurence of a double vector and add to pvec map.
      } else if (tag == " value = doubleVectorAttributeValue( line, "default=");
        double minVal = doubleAttributeValue( line, "min=");
        double maxVal = doubleAttributeValue( line, "max=");
        addPVec( name, value, hasMin, hasMax, minVal, maxVal);
      }

    // End of loop over lines in input file and loop over files.
    };
  };

  // Set up default e+e- and pp tunes, if positive.
  int eeTune = mode("Tune:ee");
  if (eeTune > 0) initTuneEE( eeTune);
  int ppTune = mode("Tune:pp");
  if (ppTune > 0) initTunePP( ppTune);

  // Done.
  if (nError > 0) return false;
  isInit = true;
  return true;

}

//--------------------------------------------------------------------------

// Overwrite existing database by reading from specific file.

bool Settings::reInit(string startFile, ostream& os) {

  // Reset maps to empty.
  flags.clear();
  modes.clear();
  parms.clear();
  words.clear();
  fvecs.clear();
  mvecs.clear();
  pvecs.clear();

  // Then let normal init do the rest.
  isInit = false;
  return init(startFile, false, os);

}

//--------------------------------------------------------------------------

// Read in updates from a character string, like a line of a file.
// Is used by readString (and readFile) in Pythia.

bool Settings::readString(string line, bool warn, ostream& os) {

  // If empty line then done.
  if (line.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos) return true;

  // If first character is not a letter, then taken to be a comment line.
  string lineNow = line;
  int firstChar = lineNow.find_first_not_of(" \n\t\v\b\r\f\a");
  if (!isalpha(lineNow[firstChar])) return true;

  // Replace an equal sign by a blank to make parsing simpler.
  while (lineNow.find("=") != string::npos) {
    int firstEqual = lineNow.find_first_of("=");
    lineNow.replace(firstEqual, 1, " ");
  }

  // Get first word of a line.
  istringstream splitLine(lineNow);
  string name;
  splitLine >> name;

  // Replace two colons by one (:: -> :) to allow for such mistakes.
  while (name.find("::") != string::npos) {
    int firstColonColon = name.find_first_of("::");
    name.replace(firstColonColon, 2, ":");
  }
     
  // Check whether this is in the database.
  int inDataBase = 0;
  if      (isFlag(name)) inDataBase = 1;
  else if (isMode(name)) inDataBase = 2;
  else if (isParm(name)) inDataBase = 3;
  else if (isWord(name)) inDataBase = 4;
  else if (isFVec(name)) inDataBase = 5;
  else if (isMVec(name)) inDataBase = 6;
  else if (isPVec(name)) inDataBase = 7;

  // For backwards compatibility: multiple -> multiparton, MI -> MPI,
  // minBias -> nonDiffractive.
  if (inDataBase == 0) {
    bool retry = false;
    string nameLower = toLower(name);
    if (nameLower.find("multiple") != string::npos) {
      int firstMI = nameLower.find_first_of("multiple");
      name.replace(firstMI, 8, "Multiparton");
      retry = true;
    }
    if (!retry && nameLower.find("mi") != string::npos) {
      int firstMI = nameLower.find_first_of("mi");
      name.replace(firstMI, 2, "MPI");
      retry = true;
    }
    if (!retry && nameLower.find("minbias") != string::npos) {
      int firstMB = nameLower.find_first_of("minbias");
      name.replace(firstMB, 7, "nonDiffractive");
      retry = true;
    }
    if (retry) {
      if      (isFlag(name)) inDataBase = 1;
      else if (isMode(name)) inDataBase = 2;
      else if (isParm(name)) inDataBase = 3;
      else if (isWord(name)) inDataBase = 4;
      else if (isFVec(name)) inDataBase = 5;
      else if (isMVec(name)) inDataBase = 6;
      else if (isPVec(name)) inDataBase = 7;
    }
  }

  // Warn and done if not in database.
  if (inDataBase == 0) {
    if (warn) os << "\n PYTHIA Error: input string not found in settings"
      << " databases::\n   " << line << endl;
    readingFailedSave = true;
    return false;
  }

  // Find value. Warn if none found.
  string valueString;
  splitLine >> valueString;
  if (!splitLine) {
    if (warn) os << "\n PYTHIA Error: variable recognized, but its value"
      << " not meaningful:\n   " << line << endl;
    readingFailedSave = true;
    return false;
  }

  // Update flag map; allow many ways to say yes.
  if (inDataBase == 1) {
    bool value = boolString(valueString);
    flag(name, value);

  // Update mode map.
  } else if (inDataBase == 2) {
    istringstream modeData(valueString);
    int value;
    modeData >> value;
    if (!modeData) {
      if (warn) os << "\n PYTHIA Error: variable recognized, but its value"
        << " not meaningful:\n   " << line << endl;
      readingFailedSave = true;
      return false;
    }
    mode(name, value);
        
  // Update parm map.
  } else if (inDataBase == 3) {
    istringstream parmData(valueString);
    double value;
    parmData >> value;
    if (!parmData) {
      if (warn) os << "\n PYTHIA Error: variable recognized, but its value"
        << " not meaningful:\n   " << line << endl;
      readingFailedSave = true;
      return false;
    }
    parm(name, value);
        
  // Update word map.
  } else if (inDataBase == 4)  {
    word(name, valueString);
        
  // Update fvec map.
  } else if (inDataBase == 5) {
    istringstream fvecData(valueString);
    vector value(boolVectorAttributeValue(
      "value=\"" + valueString + "\"", "value="));
    if (!fvecData) {
      if (warn) os << "\n PYTHIA Error: variable recognized, but its value"
        << " not meaningful:\n   " << line << endl;
      readingFailedSave = true;
      return false;
    }
    fvec(name, value);

  // Update mvec map.
  } else if (inDataBase == 6) {
    istringstream mvecData(valueString);
    vector value(intVectorAttributeValue(
      "value=\"" + valueString + "\"", "value="));
    if (!mvecData) {
      if (warn) os << "\n PYTHIA Error: variable recognized, but its value"
        << " not meaningful:\n   " << line << endl;
      readingFailedSave = true;
      return false;
    }
    mvec(name, value);
        
  // Update pvec map.
  } else if (inDataBase == 7) {
    istringstream pvecData(valueString);
    vector value(doubleVectorAttributeValue(
      "value=\"" + valueString + "\"", "value="));
    if (!pvecData) {
      if (warn) os << "\n PYTHIA Error: variable recognized, but its value"
        << " not meaningful:\n   " << line << endl;
      readingFailedSave = true;
      return false;
    }
    pvec(name, value);
  }

  // Done.
  return true;
}

//--------------------------------------------------------------------------
 
// Write updates or everything to user-defined file.

bool Settings::writeFile(string toFile, bool writeAll) {

  // Open file for writing.
  const char* cstring = toFile.c_str();
  ofstream os(cstring);
  if (!os) {
    infoPtr->errorMsg("Error in Settings::writeFile:"
      " could not open file", toFile);
    return false;
  }

  // Hand over real work to next method.
  return writeFile( os, writeAll);

}

//--------------------------------------------------------------------------
 
// Write updates or everything to user-defined stream (or file).

bool Settings::writeFile(ostream& os, bool writeAll) {

  // Write simple header as comment.
  if (writeAll) os << "! List of all current PYTHIA ";
  else          os << "! List of all modified PYTHIA ";
  os << fixed << setprecision(3) << parm("Pythia:versionNumber")
     << " settings.\n";

  // Iterators for the flag, mode and parm tables.
  map::iterator flagEntry = flags.begin();
  map::iterator modeEntry = modes.begin();
  map::iterator parmEntry = parms.begin();
  map::iterator wordEntry = words.begin();
  map::iterator fvecEntry = fvecs.begin();
  map::iterator mvecEntry = mvecs.begin();
  map::iterator pvecEntry = pvecs.begin();

  // Loop while there is something left to do.
  while (flagEntry != flags.end() || modeEntry != modes.end()
      || parmEntry != parms.end() || wordEntry != words.end()
      || fvecEntry != fvecs.end() || mvecEntry != mvecs.end()
      || pvecEntry != pvecs.end() ) {

    // Check if a flag is next in lexigraphical order; if so print it.
    if ( flagEntry != flags.end()
      && ( modeEntry == modes.end() || flagEntry->first < modeEntry->first )
      && ( parmEntry == parms.end() || flagEntry->first < parmEntry->first )
      && ( wordEntry == words.end() || flagEntry->first < wordEntry->first )
      && ( fvecEntry == fvecs.end() || flagEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || flagEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || flagEntry->first < pvecEntry->first )
      ) {
      string state[2] = {"off", "on"};
      bool valNow = flagEntry->second.valNow;
      bool valDefault = flagEntry->second.valDefault;
      if ( writeAll || valNow != valDefault )
        os << flagEntry->second.name << " = " << state[valNow] << "\n";
      ++flagEntry;
     
    // Else check if mode is next, and if so print it.
    } else if ( modeEntry != modes.end()
      && ( parmEntry == parms.end() || modeEntry->first < parmEntry->first )
      && ( wordEntry == words.end() || modeEntry->first < wordEntry->first )
      && ( fvecEntry == fvecs.end() || modeEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || modeEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || modeEntry->first < pvecEntry->first )
      ) {
      int valNow = modeEntry->second.valNow;
      int valDefault = modeEntry->second.valDefault;
      if ( writeAll || valNow != valDefault )
        os << modeEntry->second.name << " = " << valNow << "\n";
      ++modeEntry;
      
    // Else check if parm is next, and if so print it;
    // fixed or scientific depending on value.
    } else if ( parmEntry != parms.end()
      && ( wordEntry == words.end() || parmEntry->first < wordEntry->first )
      && ( fvecEntry == fvecs.end() || parmEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || parmEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || parmEntry->first < pvecEntry->first )
      ) {
      double valNow = parmEntry->second.valNow;
      double valDefault = parmEntry->second.valDefault;
      if ( writeAll || valNow != valDefault ) {
        os  << parmEntry->second.name << " = ";
        if ( valNow == 0. ) os << fixed << setprecision(1);
        else if ( abs(valNow) < 0.001 ) os << scientific << setprecision(4);
        else if ( abs(valNow) < 0.1 ) os << fixed << setprecision(7);
        else if ( abs(valNow) < 1000. ) os << fixed << setprecision(5);
        else if ( abs(valNow) < 1000000. ) os << fixed << setprecision(3);
        else os << scientific << setprecision(4);
        os << valNow << "\n";
      }
      ++parmEntry;

    // Else check if word is next, and if so print it.
    } else  if ( wordEntry != words.end()
      && ( fvecEntry == fvecs.end() || wordEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || wordEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || wordEntry->first < pvecEntry->first )
      ) {
      string valNow = wordEntry->second.valNow;
      string valDefault = wordEntry->second.valDefault;
      if ( writeAll || valNow != valDefault )
        os << wordEntry->second.name << " = " << valNow << "\n";
      ++wordEntry;

    // Else check if fvec is next, and if so print it.
    } else if ( fvecEntry != fvecs.end()
      && ( mvecEntry == mvecs.end() || fvecEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || fvecEntry->first < pvecEntry->first )
      ) {
      string state[2] = {"off", "on"};
      vector valNow = fvecEntry->second.valNow;
      vector valDefault = fvecEntry->second.valDefault;
      if ( writeAll || valNow != valDefault ) {
        os  << fvecEntry->second.name << " = ";
        for (vector::iterator val = valNow.begin();
             val != --valNow.end(); ++val) os << state[*val] << ",";
        os << *(--valNow.end()) << "\n";
      }
      ++fvecEntry;

    // Else check if mvec is next, and if so print it.
    } else if ( mvecEntry != mvecs.end()
      && ( pvecEntry == pvecs.end() || mvecEntry->first < pvecEntry->first )
      ) {
      vector valNow = mvecEntry->second.valNow;
      vector valDefault = mvecEntry->second.valDefault;
      if ( writeAll || valNow != valDefault ) {
        os  << mvecEntry->second.name << " = ";
        for (vector::iterator val = valNow.begin();
             val != --valNow.end(); ++val) os << *val << ",";
        os << *(--valNow.end()) << "\n";
      }
      ++mvecEntry;

    // Else print pvec; fixed or scientific depending on value.
    } else {
      vector valNow = pvecEntry->second.valNow;
      vector valDefault = pvecEntry->second.valDefault;
      if ( writeAll || valNow != valDefault ) {
        os  << pvecEntry->second.name << " = ";
        for (vector::iterator val = valNow.begin();
             val != --valNow.end(); ++val) {
          if ( *val == 0. ) os << fixed << setprecision(1);
          else if ( abs(*val) < 0.001 ) os << scientific << setprecision(4);
          else if ( abs(*val) < 0.1 ) os << fixed << setprecision(7);
          else if ( abs(*val) < 1000. ) os << fixed << setprecision(5);
          else if ( abs(*val) < 1000000. ) os << fixed << setprecision(3);
          else os << scientific << setprecision(4);
          os << *val << ",";
        } os << *(--valNow.end()) << "\n";
      }
      ++pvecEntry;
    }
  } ;

  // Done.
  return true;
}

//--------------------------------------------------------------------------
 
// Print out table of database in lexigraphical order.

void Settings::list(bool doListAll,  bool doListString, string match,
  ostream& os) {

  // Table header; output for bool as off/on.
  if (doListAll)
    os << "\n *-------  PYTHIA Flag + Mode + Parm + Word + FVec + MVec + PVec "
       << "Settings (all)  ----------------------------------* \n";
  else if (!doListString)
    os << "\n *-------  PYTHIA Flag + Mode + Parm + Word + FVec + MVec + PVec "
       << "Settings (changes only)  -------------------------* \n" ;
  else
    os << "\n *-------  PYTHIA Flag + Mode + Parm + Word + FVec + MVec + PVec "
       << "Settings (with requested string) -----------------* \n" ;
  os << " |                                                           "
     << "                                                      | \n"
     << " | Name                                          |           "
     << "           Now |      Default         Min         Max | \n"
     << " |                                               |           "
     << "               |                                      | \n";
 
  // Convert input string to lowercase for match.
  match = toLower(match);
  if (match == "") match = "             ";

  // Iterators for the flag, mode and parm tables.
  map::iterator flagEntry = flags.begin();
  map::iterator modeEntry = modes.begin();
  map::iterator parmEntry = parms.begin();
  map::iterator wordEntry = words.begin();
  map::iterator fvecEntry = fvecs.begin();
  map::iterator mvecEntry = mvecs.begin();
  map::iterator pvecEntry = pvecs.begin();

  // Loop while there is something left to do.
  while (flagEntry != flags.end() || modeEntry != modes.end()
      || parmEntry != parms.end() || wordEntry != words.end()
      || fvecEntry != fvecs.end() || mvecEntry != mvecs.end()
      || pvecEntry != pvecs.end() ) {

    // Check if a flag is next in lexigraphical order; if so print it.
    if ( flagEntry != flags.end()
      && ( modeEntry == modes.end() || flagEntry->first < modeEntry->first )
      && ( parmEntry == parms.end() || flagEntry->first < parmEntry->first )
      && ( wordEntry == words.end() || flagEntry->first < wordEntry->first )
      && ( fvecEntry == fvecs.end() || flagEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || flagEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || flagEntry->first < pvecEntry->first )
      ) {
      string state[2] = {"off", "on"};
      bool valNow = flagEntry->second.valNow;
      bool valDefault = flagEntry->second.valDefault;
      if ( doListAll || (!doListString && valNow != valDefault)
        || (doListString && flagEntry->first.find(match) != string::npos) )
        os << " | " << setw(45) << left
           << flagEntry->second.name << " | " << setw(24) << right
           << state[valNow] << " | " << setw(12) << state[valDefault]
           << "                         | \n";
      ++flagEntry;
     
    // Else check if mode is next, and if so print it.
    } else if ( modeEntry != modes.end()
      && ( parmEntry == parms.end() || modeEntry->first < parmEntry->first )
      && ( wordEntry == words.end() || modeEntry->first < wordEntry->first )
      && ( fvecEntry == fvecs.end() || modeEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || modeEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || modeEntry->first < pvecEntry->first )
      ) {
      int valNow = modeEntry->second.valNow;
      int valDefault = modeEntry->second.valDefault;
      if ( doListAll || (!doListString && valNow != valDefault)
        || (doListString && modeEntry->first.find(match) != string::npos) ) {
        os << " | " << setw(45) << left
           << modeEntry->second.name << " | " << setw(24) << right
           << valNow << " | " << setw(12) << valDefault;
        if (modeEntry->second.hasMin)
          os << setw(12) << modeEntry->second.valMin;
        else os << "            ";
        if (modeEntry->second.hasMax)
          os << setw(12) << modeEntry->second.valMax;
        else os << "            ";
        os << " | \n";
      }
      ++modeEntry;
      
    // Else check if parm is next, and if so print it;
    // fixed or scientific depending on value.
    } else if ( parmEntry != parms.end()
      && ( wordEntry == words.end() || parmEntry->first < wordEntry->first )
      && ( fvecEntry == fvecs.end() || parmEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || parmEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || parmEntry->first < pvecEntry->first )
      ) {
      double valNow = parmEntry->second.valNow;
      double valDefault = parmEntry->second.valDefault;
      if ( doListAll || (!doListString && valNow != valDefault )
        || (doListString && parmEntry->first.find(match) != string::npos) ) {
        os << " | " << setw(45) << left
           << parmEntry->second.name << right << " |             ";
        for (int i = 0; i < 4; ++i) {
          if (i == 1) valNow = valDefault;
          if (i == 2) valNow = parmEntry->second.valMin;
          if (i == 3) valNow = parmEntry->second.valMax;
          if ( (i == 2 && !parmEntry->second.hasMin)
            || (i == 3 && !parmEntry->second.hasMax) )
            os << "            ";
          else if ( valNow == 0. )
            os << fixed << setprecision(1) << setw(12) << valNow;
          else if ( abs(valNow) < 0.001 )
            os << scientific << setprecision(4) << setw(12) << valNow;
          else if ( abs(valNow) < 0.1 )
            os << fixed << setprecision(7) << setw(12) << valNow;
          else if ( abs(valNow) < 1000. )
            os << fixed << setprecision(5) << setw(12) << valNow;
          else if ( abs(valNow) < 1000000. )
            os << fixed << setprecision(3) << setw(12) << valNow;
          else
            os << scientific << setprecision(4) << setw(12) << valNow;
          if (i == 0) os << " | ";
        }
        os << " | \n";
      }
      ++parmEntry;

    // Else check if word is next, and if so print it.
    } else  if ( wordEntry != words.end()
      && ( fvecEntry == fvecs.end() || wordEntry->first < fvecEntry->first )
      && ( mvecEntry == mvecs.end() || wordEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || wordEntry->first < pvecEntry->first )
      ) {
      string valNow = wordEntry->second.valNow;
      string valDefault = wordEntry->second.valDefault;
      int blankLeft = max(0, 60 - max(24, int(valNow.length()) )
        - max(12, int(valDefault.length()) ) );
      string blankPad( blankLeft, ' ');
      if ( doListAll || (!doListString && valNow != valDefault)
        || (doListString && wordEntry->first.find(match) != string::npos) )
        os << " | " << setw(45) << left
           << wordEntry->second.name << " | " << setw(24) << right
           << valNow << " | " << setw(12) << valDefault << blankPad
           << " | \n";
      ++wordEntry;

    // Else check if fvec is next, and if so print it.
    } else if ( fvecEntry != fvecs.end()
      && ( mvecEntry == mvecs.end() || fvecEntry->first < mvecEntry->first )
      && ( pvecEntry == pvecs.end() || fvecEntry->first < pvecEntry->first )
      ) {
      string state[2] = {"off", "on"};
      vector valsNow = fvecEntry->second.valNow;
      vector valsDefault = fvecEntry->second.valDefault;
      bool valNow(false), valDefault(false);
      if ( doListAll || (!doListString && valsNow != valsDefault )
        || (doListString && fvecEntry->first.find(match) != string::npos) ) {
        for (unsigned int i = 0; i < valsNow.size() || i < valsDefault.size();
             ++i) {
          if ( i == 0 )
            os << " | " << setw(45) << left
               << fvecEntry->second.name << right << " |             ";
          else
            os << " | " << setw(45) << " " << right << " |             ";
          for (int j = 0; j < 4; ++j) {
            if (i < valsNow.size()) valNow = valsNow[i];
            if (i < valsDefault.size()) valDefault = valsDefault[i];
            if (j == 1) valNow = valDefault;
            if ( (j == 0 && i >= valsNow.size())
                 || (j == 1 && i >= valsDefault.size()) || (j > 1) )
              os << "            ";
            else os << setw(12) << state[valNow];
            if (j == 0) os << " | ";
          }
          os << " | \n";
        }
      }
      ++fvecEntry;

    // Else check if mvec is next, and if so print it.
    } else if ( mvecEntry != mvecs.end()
      && ( pvecEntry == pvecs.end() || mvecEntry->first < pvecEntry->first )
      ) {
      vector valsNow = mvecEntry->second.valNow;
      vector valsDefault = mvecEntry->second.valDefault;
      int valNow(0), valDefault(0);
      if ( doListAll || (!doListString && valsNow != valsDefault )
        || (doListString && mvecEntry->first.find(match) != string::npos) ) {
        for (unsigned int i = 0; i < valsNow.size() || i < valsDefault.size();
             ++i) {
          if ( i == 0 )
            os << " | " << setw(45) << left
               << mvecEntry->second.name << right << " |             ";
          else
            os << " | " << setw(45) << " " << right << " |             ";
          for (int j = 0; j < 4; ++j) {
            if (i < valsNow.size()) valNow = valsNow[i];
            if (i < valsDefault.size()) valDefault = valsDefault[i];
            if (j == 1) valNow = valDefault;
            if (j == 2) valNow = mvecEntry->second.valMin;
            if (j == 3) valNow = mvecEntry->second.valMax;
            if ( (j == 0 && i >= valsNow.size())
                 || (j == 1 && i >= valsDefault.size())
                 || (j == 2 && !mvecEntry->second.hasMin)
                 || (j == 3 && !mvecEntry->second.hasMax) )
              os << "            ";
            else os << setw(12) << valNow;
            if (j == 0) os << " | ";
          }
          os << " | \n";
        }
      }
      ++mvecEntry;

    // Else print pvec; fixed or scientific depending on value.
    } else {
      vector valsNow = pvecEntry->second.valNow;
      vector valsDefault = pvecEntry->second.valDefault;
      double valNow(0), valDefault(0);
      if ( doListAll || (!doListString && valsNow != valsDefault )
        || (doListString && pvecEntry->first.find(match) != string::npos) ) {
        for (unsigned int i = 0; i < valsNow.size() || i < valsDefault.size();
             ++i) {
          if ( i == 0 )
            os << " | " << setw(45) << left
               << pvecEntry->second.name << right << " |             ";
          else
            os << " | " << setw(45) << " " << right << " |             ";
          for (int j = 0; j < 4; ++j) {
            if (i < valsNow.size()) valNow = valsNow[i];
            if (i < valsDefault.size()) valDefault = valsDefault[i];
            if (j == 1) valNow = valDefault;
            if (j == 2) valNow = pvecEntry->second.valMin;
            if (j == 3) valNow = pvecEntry->second.valMax;
            if ( (j == 0 && i >= valsNow.size())
                 || (j == 1 && i >= valsDefault.size())
                 || (j == 2 && !pvecEntry->second.hasMin)
                 || (j == 3 && !pvecEntry->second.hasMax) )
              os << "            ";
            else if ( valNow == 0. )
              os << fixed << setprecision(1) << setw(12) << valNow;
            else if ( abs(valNow) < 0.001 )
              os << scientific << setprecision(4) << setw(12) << valNow;
            else if ( abs(valNow) < 0.1 )
              os << fixed << setprecision(7) << setw(12) << valNow;
            else if ( abs(valNow) < 1000. )
              os << fixed << setprecision(5) << setw(12) << valNow;
            else if ( abs(valNow) < 1000000. )
              os << fixed << setprecision(3) << setw(12) << valNow;
            else
              os << scientific << setprecision(4) << setw(12) << valNow;
            if (j == 0) os << " | ";
          }
          os << " | \n";
        }
      }
      ++pvecEntry;

    }
  } ;

  // End of loop over database contents.
  os << " |                                                           "
     << "                                                      | \n"
     << " *-------  End PYTHIA Flag + Mode + Parm + Word + FVec + MVec + PVec "
     << "Settings  ------------------------------------* " << endl;

}

//--------------------------------------------------------------------------
 
// Reset all values to their defaults.

void Settings::resetAll() {

  // Loop through the flags table, resetting all entries.
  for (map::iterator flagEntry = flags.begin();
    flagEntry != flags.end(); ++flagEntry) {
    string name = flagEntry->first;
    resetFlag(name);
  }

  // Loop through the modes table, resetting all entries.
  for (map::iterator modeEntry = modes.begin();
    modeEntry != modes.end(); ++modeEntry) {
    string name = modeEntry->first;
    resetMode(name);
  }

  // Loop through the parms table, resetting all entries.
  for (map::iterator parmEntry = parms.begin();
    parmEntry != parms.end(); ++parmEntry) {
    string name = parmEntry->first;
    resetParm(name);
  }

  // Loop through the words table, resetting all entries.
  for (map::iterator wordEntry = words.begin();
    wordEntry != words.end(); ++wordEntry) {
    string name = wordEntry->first;
    resetWord(name);
  }

  // Loop through the fvecs table, resetting all entries.
  for (map::iterator fvecEntry = fvecs.begin();
    fvecEntry != fvecs.end(); ++fvecEntry) {
    string name = fvecEntry->first;
    resetFVec(name);
  }

  // Loop through the mvecs table, resetting all entries.
  for (map::iterator mvecEntry = mvecs.begin();
    mvecEntry != mvecs.end(); ++mvecEntry) {
    string name = mvecEntry->first;
    resetMVec(name);
  }

  // Loop through the pvecs table, resetting all entries.
  for (map::iterator pvecEntry = pvecs.begin();
    pvecEntry != pvecs.end(); ++pvecEntry) {
    string name = pvecEntry->first;
    resetPVec(name);
  }

}

//--------------------------------------------------------------------------
 
// Give back current value, with check that key exists.

bool Settings::flag(string keyIn) {
  if (isFlag(keyIn)) return flags[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::flag: unknown key", keyIn);
  return false;
}

int Settings::mode(string keyIn) {
  if (isMode(keyIn)) return modes[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::mode: unknown key", keyIn);
  return 0;
}

double Settings::parm(string keyIn) {
  if (isParm(keyIn)) return parms[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::parm: unknown key", keyIn);
  return 0.;
}

string Settings::word(string keyIn) {
  if (isWord(keyIn)) return words[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::word: unknown key", keyIn);
  return " ";
}

vector Settings::fvec(string keyIn) {
  if (isFVec(keyIn)) return fvecs[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::fvec: unknown key", keyIn);
  return vector(1, false);
}

vector Settings::mvec(string keyIn) {
  if (isMVec(keyIn)) return mvecs[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::mvec: unknown key", keyIn);
  return vector(1, 0);
}

vector Settings::pvec(string keyIn) {
  if (isPVec(keyIn)) return pvecs[toLower(keyIn)].valNow;
  infoPtr->errorMsg("Error in Settings::pvec: unknown key", keyIn);
  return vector(1, 0.);
}

//--------------------------------------------------------------------------

// Give back default value, with check that key exists.

bool Settings::flagDefault(string keyIn) {
  if (isFlag(keyIn)) return flags[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::flagDefault: unknown key", keyIn);
  return false;
}

int Settings::modeDefault(string keyIn) {
  if (isMode(keyIn)) return modes[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::modeDefault: unknown key", keyIn);
  return 0;
}

double Settings::parmDefault(string keyIn) {
  if (isParm(keyIn)) return parms[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::parmDefault: unknown key", keyIn);
  return 0.;
}

string Settings::wordDefault(string keyIn) {
  if (isWord(keyIn)) return words[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::wordDefault: unknown key", keyIn);
  return " ";
}

vector Settings::fvecDefault(string keyIn) {
  if (isFVec(keyIn)) return fvecs[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::fvecDefault: unknown key", keyIn);
  return vector(1, false);
}

vector Settings::mvecDefault(string keyIn) {
  if (isMVec(keyIn)) return mvecs[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::mvecDefault: unknown key", keyIn);
  return vector(1, 0);
}

vector Settings::pvecDefault(string keyIn) {
  if (isPVec(keyIn)) return pvecs[toLower(keyIn)].valDefault;
  infoPtr->errorMsg("Error in Settings::pvecDefault: unknown key", keyIn);
  return vector(1, 0.);
}

//--------------------------------------------------------------------------
 
// Get a map of entries whose names contain the string "match".

map Settings::getFlagMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map flagMap;
  // Loop over the flag map (using iterator).
  for (map::iterator flagEntry = flags.begin();
       flagEntry != flags.end(); ++flagEntry)
    if (flagEntry->first.find(match) != string::npos)
      flagMap[flagEntry->first] = flagEntry->second;
  return flagMap;
}

map Settings::getModeMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map modeMap;
  // Loop over the mode map (using iterator).
  for (map::iterator modeEntry = modes.begin();
       modeEntry != modes.end(); ++modeEntry)
    if (modeEntry->first.find(match) != string::npos)
      modeMap[modeEntry->first] = modeEntry->second;
  return modeMap;
}

map Settings::getParmMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map parmMap;
  // Loop over the parm map (using iterator).
  for (map::iterator parmEntry = parms.begin();
       parmEntry != parms.end(); ++parmEntry)
    if (parmEntry->first.find(match) != string::npos)
      parmMap[parmEntry->first] = parmEntry->second;
  return parmMap;
}

map Settings::getWordMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map wordMap;
  // Loop over the word map (using iterator).
  for (map::iterator wordEntry = words.begin();
       wordEntry != words.end(); ++wordEntry)
    if (wordEntry->first.find(match) != string::npos)
      wordMap[wordEntry->first] = wordEntry->second;
  return wordMap;
}

map Settings::getFVecMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map fvecMap;
  // Loop over the fvec map (using iterator).
  for (map::iterator fvecEntry = fvecs.begin();
       fvecEntry != fvecs.end(); ++fvecEntry)
    if (fvecEntry->first.find(match) != string::npos)
      fvecMap[fvecEntry->first] = fvecEntry->second;
  return fvecMap;
}

map Settings::getMVecMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map mvecMap;
  // Loop over the mvec map (using iterator).
  for (map::iterator mvecEntry = mvecs.begin();
       mvecEntry != mvecs.end(); ++mvecEntry)
    if (mvecEntry->first.find(match) != string::npos)
      mvecMap[mvecEntry->first] = mvecEntry->second;
  return mvecMap;
}

map Settings::getPVecMap(string match) {
  // Make the match string lower case. Start with an empty map.
  match = toLower(match);
  map pvecMap;
  // Loop over the pvec map (using iterator).
  for (map::iterator pvecEntry = pvecs.begin();
       pvecEntry != pvecs.end(); ++pvecEntry)
    if (pvecEntry->first.find(match) != string::npos)
      pvecMap[pvecEntry->first] = pvecEntry->second;
  return pvecMap;
}

//--------------------------------------------------------------------------
 
// Change current value, respecting limits.

void Settings::flag(string keyIn, bool nowIn) {
  string keyLower = toLower(keyIn);
  if (isFlag(keyIn)) flags[keyLower].valNow = nowIn;
  // Print:quiet  triggers a whole set of changes.
  if (keyLower == "print:quiet") printQuiet( nowIn);
}

void Settings:: mode(string keyIn, int nowIn) {
  if (isMode(keyIn)) {
    string keyLower = toLower(keyIn);
    Mode& modeNow = modes[keyLower];
    if (modeNow.hasMin && nowIn < modeNow.valMin)
      modeNow.valNow = modeNow.valMin;
    else if (modeNow.hasMax && nowIn > modeNow.valMax)
      modeNow.valNow = modeNow.valMax;
    else modeNow.valNow = nowIn;
    // Tune:ee and Tune:pp each trigger a whole set of changes.
    if (keyLower == "tune:ee") initTuneEE( modeNow.valNow);
    if (keyLower == "tune:pp") initTunePP( modeNow.valNow);
  }
}

void Settings::parm(string keyIn, double nowIn) {
  if (isParm(keyIn)) {
    Parm& parmNow = parms[toLower(keyIn)];
    if (parmNow.hasMin && nowIn < parmNow.valMin)
      parmNow.valNow = parmNow.valMin;
    else if (parmNow.hasMax && nowIn > parmNow.valMax)
      parmNow.valNow = parmNow.valMax;
    else parmNow.valNow = nowIn;
  }
}

void Settings::word(string keyIn, string nowIn) {
    if (isWord(keyIn)) words[toLower(keyIn)].valNow = nowIn;
}

void Settings::fvec(string keyIn, vector nowIn) {
  if (isFVec(keyIn)) {
    FVec& fvecNow = fvecs[toLower(keyIn)];
    fvecNow.valNow.clear();
    for(vector::iterator now = nowIn.begin();
        now != nowIn.end(); now++)
      fvecNow.valNow.push_back(*now);
  }
}

void Settings::mvec(string keyIn, vector nowIn) {
  if (isMVec(keyIn)) {
    MVec& mvecNow = mvecs[toLower(keyIn)];
    mvecNow.valNow.clear();
    for(vector::iterator now = nowIn.begin();
        now != nowIn.end(); now++) {
      if (mvecNow.hasMin && *now < mvecNow.valMin)
        mvecNow.valNow.push_back(mvecNow.valMin);
      else if (mvecNow.hasMax && *now > mvecNow.valMax)
        mvecNow.valNow.push_back(mvecNow.valMax);
      else mvecNow.valNow.push_back(*now);
    }
  }
}

void Settings::pvec(string keyIn, vector nowIn) {
  if (isPVec(keyIn)) {
    PVec& pvecNow = pvecs[toLower(keyIn)];
    pvecNow.valNow.clear();
    for(vector::iterator now = nowIn.begin();
        now != nowIn.end(); now++) {
      if (pvecNow.hasMin && *now < pvecNow.valMin)
        pvecNow.valNow.push_back(pvecNow.valMin);
      else if (pvecNow.hasMax && *now > pvecNow.valMax)
        pvecNow.valNow.push_back(pvecNow.valMax);
      else pvecNow.valNow.push_back(*now);
    }
  }
}

//--------------------------------------------------------------------------

// Change current value, disregarding limits.
  
void Settings::forceMode(string keyIn, int nowIn) {
  if (isMode(keyIn)) {
    string keyLower = toLower(keyIn);
    Mode& modeNow   = modes[keyLower];
    modeNow.valNow  = nowIn;
    // Tune:ee and Tune:pp each trigger a whole set of changes.
    if (keyLower == "tune:ee") initTuneEE( modeNow.valNow);
    if (keyLower == "tune:pp") initTunePP( modeNow.valNow);
  }
}

void Settings::forceParm(string keyIn, double nowIn) {
  if (isParm(keyIn)) parms[toLower(keyIn)].valNow = nowIn;
}

void Settings::forceMVec(string keyIn, vector nowIn) {
  if (isMVec(keyIn)) mvecs[toLower(keyIn)].valNow = nowIn;
}

void Settings::forcePVec(string keyIn, vector nowIn) {
  if (isPVec(keyIn)) pvecs[toLower(keyIn)].valNow = nowIn;
}

//--------------------------------------------------------------------------
     
// Restore current value to default.
 
void Settings::resetFlag(string keyIn) {
  if (isFlag(keyIn)) flags[toLower(keyIn)].valNow
    = flags[toLower(keyIn)].valDefault ;
}
  
void Settings::resetMode(string keyIn) {
  string keyLower = toLower(keyIn);
  if (isMode(keyIn)) modes[keyLower].valNow
    = modes[toLower(keyIn)].valDefault ;
  // For Tune:ee and Tune:pp must also restore variables involved in tunes.
  if (keyLower == "tune:ee") resetTuneEE();
  if (keyLower == "tune:pp") resetTunePP();
}

void Settings::resetParm(string keyIn) {
  if (isParm(keyIn)) parms[toLower(keyIn)].valNow
    = parms[toLower(keyIn)].valDefault ;
}

void Settings::resetWord(string keyIn) {
  if (isWord(keyIn)) words[toLower(keyIn)].valNow
    = words[toLower(keyIn)].valDefault ;
}

void Settings::resetFVec(string keyIn) {
  if (isFVec(keyIn)) fvecs[toLower(keyIn)].valNow
    = fvecs[toLower(keyIn)].valDefault ;
}

void Settings::resetMVec(string keyIn) {
  if (isMVec(keyIn)) mvecs[toLower(keyIn)].valNow
    = mvecs[toLower(keyIn)].valDefault ;
}

void Settings::resetPVec(string keyIn) {
  if (isPVec(keyIn)) pvecs[toLower(keyIn)].valNow
    = pvecs[toLower(keyIn)].valDefault ;
}

//--------------------------------------------------------------------------

// Regulate level of printout by overall change of settings.

void Settings::printQuiet(bool quiet) {

  // Switch off as much output as possible.
  if (quiet) {
    flag("Init:showProcesses",               false );
    flag("Init:showMultipartonInteractions", false );
    flag("Init:showChangedSettings",         false );
    flag("Init:showAllSettings",             false );
    flag("Init:showChangedParticleData",     false );
    flag("Init:showChangedResonanceData",    false );
    flag("Init:showAllParticleData",         false );
    mode("Init:showOneParticleData",             0 );
    mode("Next:numberCount",                     0 );
    mode("Next:numberShowLHA",                   0 );
    mode("Next:numberShowInfo",                  0 );
    mode("Next:numberShowProcess",               0 );
    mode("Next:numberShowEvent",                 0 );
  
  // Restore ouput settings to default.
  } else {
    resetFlag("Init:showProcesses");
    resetFlag("Init:showMultipartonInteractions");
    resetFlag("Init:showChangedSettings");
    resetFlag("Init:showAllSettings");
    resetFlag("Init:showChangedParticleData");
    resetFlag("Init:showChangedResonanceData");
    resetFlag("Init:showAllParticleData");
    resetMode("Init:showOneParticleData");
    resetMode("Next:numberCount");
    resetMode("Next:numberShowLHA");
    resetMode("Next:numberShowInfo");
    resetMode("Next:numberShowProcess");
    resetMode("Next:numberShowEvent");
  }

}

//--------------------------------------------------------------------------

// Restore all e+e- settings to their original values.

void Settings::resetTuneEE() {

  // Flavour composition. 
  resetParm("StringFlav:probStoUD");
  resetParm("StringFlav:probQQtoQ");
  resetParm("StringFlav:probSQtoQQ");
  resetParm("StringFlav:probQQ1toQQ0");
  resetParm("StringFlav:mesonUDvector");
  resetParm("StringFlav:mesonSvector");
  resetParm("StringFlav:mesonCvector");
  resetParm("StringFlav:mesonBvector");
  resetParm("StringFlav:etaSup");
  resetParm("StringFlav:etaPrimeSup");
  resetParm("StringFlav:popcornSpair");
  resetParm("StringFlav:popcornSmeson");
  resetFlag("StringFlav:suppressLeadingB");

  // String breaks: z.
  resetParm("StringZ:aLund");
  resetParm("StringZ:bLund");
  resetParm("StringZ:aExtraSquark");
  resetParm("StringZ:aExtraDiquark");
  resetParm("StringZ:rFactC");
  resetParm("StringZ:rFactB");

  // String breaks: pT.
  resetParm("StringPT:sigma");
  resetParm("StringPT:enhancedFraction");
  resetParm("StringPT:enhancedWidth");

  // FSR: strong coupling, IR cutoff.
  resetParm("TimeShower:alphaSvalue");
  resetMode("TimeShower:alphaSorder");
  resetFlag("TimeShower:alphaSuseCMW");
  resetParm("TimeShower:pTmin");
  resetParm("TimeShower:pTminChgQ");
 
}

//--------------------------------------------------------------------------

// Restore all pp settings to their original values.

void Settings::resetTunePP() {

  // PDF set.
  resetMode("PDF:pSet");
  resetFlag("PDF:useLHAPDF");

  // Hard matrix elements alpha_s value.
  resetParm("SigmaProcess:alphaSvalue");

  // Diffraction: cross sections and mass distributions.
  resetFlag("SigmaTotal:zeroAXB");
  resetFlag("SigmaDiffractive:dampen");
  resetParm("SigmaDiffractive:maxXB");
  resetParm("SigmaDiffractive:maxAX");
  resetParm("SigmaDiffractive:maxXX");
  resetParm("Diffraction:largeMassSuppress");

  // FSR: dipoles to beam, spin correlations.
  resetFlag("TimeShower:dampenBeamRecoil");
  resetFlag("TimeShower:phiPolAsym");

  // ISR: strong coupling, IR cutoff, coherence and spin correlations.
  resetParm("SpaceShower:alphaSvalue");
  resetMode("SpaceShower:alphaSorder");
  resetParm("SpaceShower:alphaSuseCMW");
  resetFlag("SpaceShower:samePTasMPI");
  resetParm("SpaceShower:pT0Ref");
  resetParm("SpaceShower:ecmRef");
  resetParm("SpaceShower:ecmPow");
  resetFlag("SpaceShower:rapidityOrder");
  resetFlag("SpaceShower:phiPolAsym");
  resetFlag("SpaceShower:phiIntAsym");

  // MPI: strong coupling, IR regularization, energy scaling.
  resetParm("MultipartonInteractions:alphaSvalue");
  resetParm("MultipartonInteractions:pT0Ref");
  resetParm("MultipartonInteractions:ecmRef");
  resetParm("MultipartonInteractions:ecmPow");
  resetMode("MultipartonInteractions:bProfile");
  resetParm("MultipartonInteractions:expPow");
  resetParm("MultipartonInteractions:a1");

  // Beam remnant parameters. 
  resetParm("BeamRemnants:primordialKTsoft");
  resetParm("BeamRemnants:primordialKThard");
  resetParm("BeamRemnants:halfScaleForKT");
  resetParm("BeamRemnants:halfMassForKT");
  resetParm("BeamRemnants:reconnectRange");
  
}

//--------------------------------------------------------------------------

// Set the values related to a tune of e+e- data,
// i.e. mainly for final-state radiation and hadronization.

void Settings::initTuneEE( int eeTune) {

  // Restore all e+e- settings to their original values.
  // Is first step for setting up a specific tune.
  if (eeTune != 0) resetTuneEE();

  // Old flavour and FSR defaults carried over from very old JETSET tune,
  // only with alphaS roughly tuned for "new" pT-ordered shower.
  if (eeTune == 1) {
    parm("StringFlav:probStoUD",        0.30  );
    parm("StringFlav:probQQtoQ",        0.10  );
    parm("StringFlav:probSQtoQQ",       0.40  );
    parm("StringFlav:probQQ1toQQ0",     0.05  );
    parm("StringFlav:mesonUDvector",    1.00  );
    parm("StringFlav:mesonSvector",     1.50  );
    parm("StringFlav:mesonCvector",     2.50  );
    parm("StringFlav:mesonBvector",     3.00  );
    parm("StringFlav:etaSup",           1.00  );
    parm("StringFlav:etaPrimeSup",      0.40  );
    parm("StringFlav:popcornSpair",     0.50  );
    parm("StringFlav:popcornSmeson",    0.50  );
    flag("StringFlav:suppressLeadingB", false );
    parm("StringZ:aLund",               0.30  );
    parm("StringZ:bLund",               0.58  );
    parm("StringZ:aExtraSquark",        0.00  );
    parm("StringZ:aExtraDiquark",       0.50  );
    parm("StringZ:rFactC",              1.00  );
    parm("StringZ:rFactB",              1.00  );
    parm("StringPT:sigma",              0.36  );
    parm("StringPT:enhancedFraction",   0.01  );
    parm("StringPT:enhancedWidth",      2.0   );
    parm("TimeShower:alphaSvalue",      0.137 );
    mode("TimeShower:alphaSorder",      1     );
    flag("TimeShower:alphaSuseCMW",     false );
    parm("TimeShower:pTmin",            0.5   );
    parm("TimeShower:pTminChgQ",        0.5   );
  }

  // Marc Montull's tune to particle composition at LEP1 (August 2007).
  else if (eeTune == 2) {
    parm("StringFlav:probStoUD",        0.22  );
    parm("StringFlav:probQQtoQ",        0.08  );
    parm("StringFlav:probSQtoQQ",       0.75  );
    parm("StringFlav:probQQ1toQQ0",     0.025 );
    parm("StringFlav:mesonUDvector",    0.5   );
    parm("StringFlav:mesonSvector",     0.6   );
    parm("StringFlav:mesonCvector",     1.5   );
    parm("StringFlav:mesonBvector",     2.5   );
    parm("StringFlav:etaSup",           0.60  );
    parm("StringFlav:etaPrimeSup",      0.15  );
    parm("StringFlav:popcornSpair",     1.0   );
    parm("StringFlav:popcornSmeson",    1.0   );
    flag("StringFlav:suppressLeadingB", false );   // kept fixed
    parm("StringZ:aLund",               0.76  );
    parm("StringZ:bLund",               0.58  );   // kept fixed
    parm("StringZ:aExtraSquark",        0.00  );   // kept fixed
    parm("StringZ:aExtraDiquark",       0.50  );   // kept fixed
    parm("StringZ:rFactC",              1.00  );   // kept fixed
    parm("StringZ:rFactB",              1.00  );   // kept fixed
    parm("StringPT:sigma",              0.36  );   // kept fixed
    parm("StringPT:enhancedFraction",   0.01  );   // kept fixed
    parm("StringPT:enhancedWidth",      2.0   );   // kept fixed
    parm("TimeShower:alphaSvalue",      0.137 );   // kept fixed
    mode("TimeShower:alphaSorder",      1     );   // kept fixed
    flag("TimeShower:alphaSuseCMW",     false );   // kept fixed
    parm("TimeShower:pTmin",            0.5   );   // kept fixed
    parm("TimeShower:pTminChgQ",        0.5   );   // kept fixed
  }

  // Full e+e- tune of flavours and FSR to LEP1 data within the
  // Rivet + Professor framework, by Hendrik Hoeth (June 2009).
  else if (eeTune == 3) {
    parm("StringFlav:probStoUD",        0.19  );
    parm("StringFlav:probQQtoQ",        0.09  );
    parm("StringFlav:probSQtoQQ",       1.00  );
    parm("StringFlav:probQQ1toQQ0",     0.027 );
    parm("StringFlav:mesonUDvector",    0.62  );
    parm("StringFlav:mesonSvector",     0.725 );
    parm("StringFlav:mesonCvector",     1.06  );
    parm("StringFlav:mesonBvector",     3.0   );
    parm("StringFlav:etaSup",           0.63  );
    parm("StringFlav:etaPrimeSup",      0.12  );
    parm("StringFlav:popcornSpair",     0.5   );   // kept fixed
    parm("StringFlav:popcornSmeson",    0.5   );   // kept fixed
    flag("StringFlav:suppressLeadingB", false );   // kept fixed
    parm("StringZ:aLund",               0.3   );   // kept fixed
    parm("StringZ:bLund",               0.8   );
    parm("StringZ:aExtraSquark",        0.00  );   // kept fixed
    parm("StringZ:aExtraDiquark",       0.50  );   // kept fixed
    parm("StringZ:rFactC",              1.00  );   // kept fixed
    parm("StringZ:rFactB",              0.67  );
    parm("StringPT:sigma",              0.304 );
    parm("StringPT:enhancedFraction",   0.01  );   // kept fixed
    parm("StringPT:enhancedWidth",      2.0   );   // kept fixed
    parm("TimeShower:alphaSvalue",      0.1383);
    mode("TimeShower:alphaSorder",      1     );   // kept fixed
    flag("TimeShower:alphaSuseCMW",     false );   // kept fixed
    parm("TimeShower:pTmin",            0.4   );   // kept fixed (near limit)
    parm("TimeShower:pTminChgQ",        0.4   );   // kept same as pTmin
  }

  // Full e+e- tune of flavours and FSR to LEP1 data, by Peter Skands
  // (September 2013). Note use of CMW convention for shower.
  else if (eeTune == 4) {
    parm("StringFlav:probStoUD",        0.21  );
    parm("StringFlav:probQQtoQ",        0.086 );
    parm("StringFlav:probSQtoQQ",       1.00  );
    parm("StringFlav:probQQ1toQQ0",     0.031 );
    parm("StringFlav:mesonUDvector",    0.45  );
    parm("StringFlav:mesonSvector",     0.60  );
    parm("StringFlav:mesonCvector",     0.95  );
    parm("StringFlav:mesonBvector",     3.0   );   // kept fixed
    parm("StringFlav:etaSup",           0.65  );
    parm("StringFlav:etaPrimeSup",      0.08  );
    parm("StringFlav:popcornSpair",     0.5   );   // kept fixed
    parm("StringFlav:popcornSmeson",    0.5   );   // kept fixed
    flag("StringFlav:suppressLeadingB", false );   // kept fixed
    parm("StringZ:aLund",               0.55  );
    parm("StringZ:bLund",               1.08  );
    parm("StringZ:aExtraSquark",        0.00  );   // kept fixed
    parm("StringZ:aExtraDiquark",       1.00  );
    parm("StringZ:rFactC",              1.00  );   // kept fixed
    parm("StringZ:rFactB",              0.85  );
    parm("StringPT:sigma",              0.305 );
    parm("StringPT:enhancedFraction",   0.01  );   // kept fixed
    parm("StringPT:enhancedWidth",      2.0   );   // kept fixed
    parm("TimeShower:alphaSvalue",      0.127 );
    mode("TimeShower:alphaSorder",      1     );   // kept fixed
    flag("TimeShower:alphaSuseCMW",     true  );
    parm("TimeShower:pTmin",            0.4   );
    parm("TimeShower:pTminChgQ",        0.4   );   // kept same as pTmin
  }

  // First e+e- tune by Nadine Fischer, using eeTune = 3 for flavour
  // composition (September 2013).
  else if (eeTune == 5) {
    parm("StringFlav:probStoUD",        0.19  );   // kept fixed
    parm("StringFlav:probQQtoQ",        0.09  );   // kept fixed
    parm("StringFlav:probSQtoQQ",       1.00  );   // kept fixed
    parm("StringFlav:probQQ1toQQ0",     0.027 );   // kept fixed
    parm("StringFlav:mesonUDvector",    0.62  );   // kept fixed
    parm("StringFlav:mesonSvector",     0.725 );   // kept fixed
    parm("StringFlav:mesonCvector",     1.06  );   // kept fixed
    parm("StringFlav:mesonBvector",     3.0   );   // kept fixed
    parm("StringFlav:etaSup",           0.63  );   // kept fixed
    parm("StringFlav:etaPrimeSup",      0.12  );   // kept fixed
    parm("StringFlav:popcornSpair",     0.5   );   // kept fixed
    parm("StringFlav:popcornSmeson",    0.5   );   // kept fixed
    flag("StringFlav:suppressLeadingB", false );   // kept fixed
    parm("StringZ:aLund",               0.386 );
    parm("StringZ:bLund",               0.977 );
    parm("StringZ:aExtraSquark",        0.00  );   // kept fixed
    parm("StringZ:aExtraDiquark",       0.940 );
    parm("StringZ:rFactC",              1.00  );   // kept fixed
    parm("StringZ:rFactB",              0.67  );   // kept fixed
    parm("StringPT:sigma",              0.286 );
    parm("StringPT:enhancedFraction",   0.01  );   // kept fixed
    parm("StringPT:enhancedWidth",      2.0   );   // kept fixed
    parm("TimeShower:alphaSvalue",      0.139 );
    mode("TimeShower:alphaSorder",      1     );   // kept fixed
    flag("TimeShower:alphaSuseCMW",     false );   // kept fixed
    parm("TimeShower:pTmin",            0.409 );
    parm("TimeShower:pTminChgQ",        0.409 );   // kept same as pTmin
  }

  // Second e+e- tune by Nadine Fischer, using eeTune = 3 for flavour
  // composition (September 2013).
  else if (eeTune == 6) {
    parm("StringFlav:probStoUD",        0.19  );   // kept fixed
    parm("StringFlav:probQQtoQ",        0.09  );   // kept fixed
    parm("StringFlav:probSQtoQQ",       1.00  );   // kept fixed
    parm("StringFlav:probQQ1toQQ0",     0.027 );   // kept fixed
    parm("StringFlav:mesonUDvector",    0.62  );   // kept fixed
    parm("StringFlav:mesonSvector",     0.725 );   // kept fixed
    parm("StringFlav:mesonCvector",     1.06  );   // kept fixed
    parm("StringFlav:mesonBvector",     3.0   );   // kept fixed
    parm("StringFlav:etaSup",           0.63  );   // kept fixed
    parm("StringFlav:etaPrimeSup",      0.12  );   // kept fixed
    parm("StringFlav:popcornSpair",     0.5   );   // kept fixed
    parm("StringFlav:popcornSmeson",    0.5   );   // kept fixed
    flag("StringFlav:suppressLeadingB", false );   // kept fixed
    parm("StringZ:aLund",               0.351 );
    parm("StringZ:bLund",               0.942 );
    parm("StringZ:aExtraSquark",        0.00  );   // kept fixed
    parm("StringZ:aExtraDiquark",       0.547 );
    parm("StringZ:rFactC",              1.00  );   // kept fixed
    parm("StringZ:rFactB",              0.67  );   // kept fixed
    parm("StringPT:sigma",              0.283 );
    parm("StringPT:enhancedFraction",   0.01  );   // kept fixed
    parm("StringPT:enhancedWidth",      2.0   );   // kept fixed
    parm("TimeShower:alphaSvalue",      0.139);
    mode("TimeShower:alphaSorder",      1     );   // kept fixed
    flag("TimeShower:alphaSuseCMW",     false );   // kept fixed
    parm("TimeShower:pTmin",            0.406 );
    parm("TimeShower:pTminChgQ",        0.406 );   // kept same as pTmin
  }

  // The Monash 2013 tune by Peter Skands, the e+e- part (January 2014).
  else if (eeTune == 7) {
    parm("StringFlav:probStoUD",        0.217 );
    parm("StringFlav:probQQtoQ",        0.081 );
    parm("StringFlav:probSQtoQQ",       0.915 );
    parm("StringFlav:probQQ1toQQ0",     0.0275);
    parm("StringFlav:mesonUDvector",    0.50  );
    parm("StringFlav:mesonSvector",     0.55  );
    parm("StringFlav:mesonCvector",     0.88  );
    parm("StringFlav:mesonBvector",     2.20  );
    parm("StringFlav:etaSup",           0.60  );
    parm("StringFlav:etaPrimeSup",      0.12  );
    parm("StringFlav:popcornSpair",     0.90  );
    parm("StringFlav:popcornSmeson",    0.50  );
    flag("StringFlav:suppressLeadingB", false );   // kept fixed
    parm("StringZ:aLund",               0.68  );
    parm("StringZ:bLund",               0.98  );
    parm("StringZ:aExtraSquark",        0.00  );   // kept fixed
    parm("StringZ:aExtraDiquark",       0.97  );
    parm("StringZ:rFactC",              1.32  );
    parm("StringZ:rFactB",              0.855 );
    parm("StringPT:sigma",              0.335 );
    parm("StringPT:enhancedFraction",   0.01  );   // kept fixed
    parm("StringPT:enhancedWidth",      2.0   );   // kept fixed
    parm("TimeShower:alphaSvalue",      0.1365);
    mode("TimeShower:alphaSorder",      1     );   // kept fixed
    flag("TimeShower:alphaSuseCMW",     false );   // kept fixed
    parm("TimeShower:pTmin",            0.5   );   // kept fixed
    parm("TimeShower:pTminChgQ",        0.5   );   // kept fixed
  }
  
}

//--------------------------------------------------------------------------

// Set the values related to a tune of pp/ppbar data,
// i.e. mainly for initial-state radiation and multiparton interactions.

void Settings::initTunePP( int ppTune) {

  // Restore all pp/ppbar settings to their original values.
  // Is first step for setting up a specific tune.
  if (ppTune != 0) resetTunePP();

  // Decide whether to use LHAPFD where possible.
  bool preferLHAPDF = flag("Tune:preferLHAPDF");

  // Old ISR and MPI defaults from early and primitive comparisons with data.
  if (ppTune == 1) {
    mode("PDF:pSet",                            2     );
    parm("SigmaProcess:alphaSvalue",            0.1265);
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             false );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         false );
    flag("TimeShower:phiPolAsym",               false );
    parm("SpaceShower:alphaSvalue",             0.127 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             true  );
    parm("SpaceShower:pT0Ref",                  2.2   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.16  );
    flag("SpaceShower:rapidityOrder",           false );
    flag("SpaceShower:phiPolAsym",              false );
    flag("SpaceShower:phiIntAsym",              false );
    parm("MultipartonInteractions:alphaSvalue", 0.127 );
    parm("MultipartonInteractions:pT0Ref",      2.15  );
    parm("MultipartonInteractions:ecmRef",      1800. );
    parm("MultipartonInteractions:ecmPow",      0.16  );
    mode("MultipartonInteractions:bProfile",    2     );
    parm("MultipartonInteractions:expPow",      1.0  );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.4   );
    parm("BeamRemnants:primordialKThard",       2.1   );
    parm("BeamRemnants:halfScaleForKT",         7.0   );
    parm("BeamRemnants:halfMassForKT",          2.0   );
    parm("BeamRemnants:reconnectRange",         2.5   );
  }
  
  // "Tune 1" simple first tune by Peter Skands to ISR and MPI, July 2009.
  else if (ppTune == 2) {
    mode("PDF:pSet",                            2     );
    parm("SigmaProcess:alphaSvalue",            0.1265);
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             false );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         false );
    flag("TimeShower:phiPolAsym",               false );
    parm("SpaceShower:alphaSvalue",             0.137 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           false );
    flag("SpaceShower:phiPolAsym",              false );
    flag("SpaceShower:phiIntAsym",              false );
    parm("MultipartonInteractions:alphaSvalue", 0.127 );
    parm("MultipartonInteractions:pT0Ref",      2.25  );
    parm("MultipartonInteractions:ecmRef",      1800. );
    parm("MultipartonInteractions:ecmPow",      0.24  );
    mode("MultipartonInteractions:bProfile",    1     );
    parm("MultipartonInteractions:expPow",      1.0  );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.5   );
    parm("BeamRemnants:primordialKThard",       2.0   );
    parm("BeamRemnants:halfScaleForKT",         1.0   );
    parm("BeamRemnants:halfMassForKT",          1.0   );
    parm("BeamRemnants:reconnectRange",         10.0  );
  }
  
  // Tune 2C, July 2010.
  else if (ppTune == 3) {
    mode("PDF:pSet",                            8     );
    parm("SigmaProcess:alphaSvalue",            0.135 );
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             false );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         true  );
    flag("TimeShower:phiPolAsym",               true  );
    parm("SpaceShower:alphaSvalue",             0.137 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           true  );
    flag("SpaceShower:phiPolAsym",              true  );
    flag("SpaceShower:phiIntAsym",              true  );
    parm("MultipartonInteractions:alphaSvalue", 0.135 );
    parm("MultipartonInteractions:pT0Ref",      2.32  );
    parm("MultipartonInteractions:ecmRef",      1800. );
    parm("MultipartonInteractions:ecmPow",      0.21  );
    mode("MultipartonInteractions:bProfile",    3     );
    parm("MultipartonInteractions:expPow",      1.6   );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.5   );
    parm("BeamRemnants:primordialKThard",       2.0   );
    parm("BeamRemnants:halfScaleForKT",         1.0   );
    parm("BeamRemnants:halfMassForKT",          1.0   );
    parm("BeamRemnants:reconnectRange",         3.0   );
  }
  
  // Tune 2M, July 2010.
  else if (ppTune == 4) {
    mode("PDF:pSet",                            4     );
    parm("SigmaProcess:alphaSvalue",            0.1265);
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             false );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         true  );
    flag("TimeShower:phiPolAsym",               true  );
    parm("SpaceShower:alphaSvalue",             0.130 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           true  );
    flag("SpaceShower:phiPolAsym",              true  );
    flag("SpaceShower:phiIntAsym",              true  );
    parm("MultipartonInteractions:alphaSvalue", 0.127 );
    parm("MultipartonInteractions:pT0Ref",      2.455 );
    parm("MultipartonInteractions:ecmRef",      1800. );
    parm("MultipartonInteractions:ecmPow",      0.26  );
    mode("MultipartonInteractions:bProfile",    3     );
    parm("MultipartonInteractions:expPow",      1.15  );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.5   );
    parm("BeamRemnants:primordialKThard",       2.0   );
    parm("BeamRemnants:halfScaleForKT",         1.0   );
    parm("BeamRemnants:halfMassForKT",          1.0   );
    parm("BeamRemnants:reconnectRange",         3.0   );
  }
 
  // Tune 4C, October 2010.
  else if (ppTune == 5) {
    mode("PDF:pSet",                            8     );
    parm("SigmaProcess:alphaSvalue",            0.135 );
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             true  );
    parm("SigmaDiffractive:maxXB",              65.0  );
    parm("SigmaDiffractive:maxAX",              65.0  );
    parm("SigmaDiffractive:maxXX",              65.0  );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         true  );
    flag("TimeShower:phiPolAsym",               true  );
    parm("SpaceShower:alphaSvalue",             0.137 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           true  );
    flag("SpaceShower:phiPolAsym",              true  );
    flag("SpaceShower:phiIntAsym",              true  );
    parm("MultipartonInteractions:alphaSvalue", 0.135 );
    parm("MultipartonInteractions:pT0Ref",      2.085 );
    parm("MultipartonInteractions:ecmRef",      1800. );
    parm("MultipartonInteractions:ecmPow",      0.19  );
    mode("MultipartonInteractions:bProfile",    3     );
    parm("MultipartonInteractions:expPow",      2.0   );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.5   );
    parm("BeamRemnants:primordialKThard",       2.0   );
    parm("BeamRemnants:halfScaleForKT",         1.0   );
    parm("BeamRemnants:halfMassForKT",          1.0   );
    parm("BeamRemnants:reconnectRange",         1.5   );
  }

  // Tune 4Cx, January 2011.
  else if (ppTune == 6) {
    mode("PDF:pSet",                            8     );
    parm("SigmaProcess:alphaSvalue",            0.135 );
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             true  );
    parm("SigmaDiffractive:maxXB",              65.0  );
    parm("SigmaDiffractive:maxAX",              65.0  );
    parm("SigmaDiffractive:maxXX",              65.0  );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         true  );
    flag("TimeShower:phiPolAsym",               true  );
    parm("SpaceShower:alphaSvalue",             0.137 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           true  );
    flag("SpaceShower:phiPolAsym",              true  );
    flag("SpaceShower:phiIntAsym",              true  );
    parm("MultipartonInteractions:alphaSvalue", 0.135 );
    parm("MultipartonInteractions:pT0Ref",      2.15  );
    parm("MultipartonInteractions:ecmRef",      1800. );
    parm("MultipartonInteractions:ecmPow",      0.19  );
    mode("MultipartonInteractions:bProfile",    4     );
    parm("MultipartonInteractions:expPow",      1.0   );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.5   );
    parm("BeamRemnants:primordialKThard",       2.0   );
    parm("BeamRemnants:halfScaleForKT",         1.0   );
    parm("BeamRemnants:halfMassForKT",          1.0   );
    parm("BeamRemnants:reconnectRange",         1.5   );
  }

  // Several ATLAS tunes in the A2 and AU2 series, see
  // ATLAS note ATL-PHYS-PUB-2012-003 (August 2012).
  else if (ppTune < 14) {
    parm("SigmaProcess:alphaSvalue",            0.135 );
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             true  );
    parm("SigmaDiffractive:maxXB",              65.0  );
    parm("SigmaDiffractive:maxAX",              65.0  );
    parm("SigmaDiffractive:maxXX",              65.0  );
    parm("Diffraction:largeMassSuppress",       2.0   );
    flag("TimeShower:dampenBeamRecoil",         true  );
    flag("TimeShower:phiPolAsym",               true  );
    parm("SpaceShower:alphaSvalue",             0.137 );
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  1800.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           false );
    flag("SpaceShower:phiPolAsym",              true  );
    flag("SpaceShower:phiIntAsym",              true  );
    parm("MultipartonInteractions:alphaSvalue", 0.135 );
    parm("MultipartonInteractions:ecmRef",      1800. );
    mode("MultipartonInteractions:bProfile",    4     );
    parm("MultipartonInteractions:expPow",      1.0   );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.5   );
    parm("BeamRemnants:primordialKThard",       2.0   );
    parm("BeamRemnants:halfScaleForKT",         1.0   );
    parm("BeamRemnants:halfMassForKT",          1.0   );

    // ATLAS MB tune A2-CTEQ6L1.
    if (ppTune == 7) {
      if (preferLHAPDF) {
        flag("PDF:useLHAPDF",                   true  );
        word("PDF:LHAPDFset",          "cteq6ll.LHpdf");
      } else mode("PDF:pSet",                   8     );
      parm("MultipartonInteractions:pT0Ref",    2.18  );
      parm("MultipartonInteractions:ecmPow",    0.22  );
      parm("MultipartonInteractions:a1",        0.06  );
      parm("BeamRemnants:reconnectRange",       1.55  );
    }

    // ATLAS MB tune A2-MSTW2008LO.
    else if (ppTune == 8) {
      if (preferLHAPDF) {
        flag("PDF:useLHAPDF",                   true  );
        word("PDF:LHAPDFset",  "MSTW2008lo68cl.LHgrid");
      } else mode("PDF:pSet",                   5     );
      parm("MultipartonInteractions:pT0Ref",    1.90  );
      parm("MultipartonInteractions:ecmPow",    0.30  );
      parm("MultipartonInteractions:a1",        0.03  );
      parm("BeamRemnants:reconnectRange",       2.28  );
    }

    // ATLAS UE tune AU2-CTEQ6L1.
    if (ppTune == 9) {
      if (preferLHAPDF) {
        flag("PDF:useLHAPDF",                   true  );
        word("PDF:LHAPDFset",          "cteq6ll.LHpdf");
      } else mode("PDF:pSet",                   8     );
      parm("MultipartonInteractions:pT0Ref",    2.13  );
      parm("MultipartonInteractions:ecmPow",    0.21  );
      parm("MultipartonInteractions:a1",        0.00  );
      parm("BeamRemnants:reconnectRange",       2.21  );
    }

    // ATLAS UE tune AU2-MSTW2008LO.
    else if (ppTune == 10) {
      if (preferLHAPDF) {
        flag("PDF:useLHAPDF",                   true  );
        word("PDF:LHAPDFset",  "MSTW2008lo68cl.LHgrid");
      } else mode("PDF:pSet",                   5     );
      parm("MultipartonInteractions:pT0Ref",    1.87  );
      parm("MultipartonInteractions:ecmPow",    0.28  );
      parm("MultipartonInteractions:a1",        0.01  );
      parm("BeamRemnants:reconnectRange",       5.32  );
    }

    // ATLAS UE tune AU2-CT10.
    else if (ppTune == 11) {
      flag("PDF:useLHAPDF",                     true  );
      word("PDF:LHAPDFset",              "CT10.LHgrid");
      parm("MultipartonInteractions:pT0Ref",    1.70  );
      parm("MultipartonInteractions:ecmPow",    0.16  );
      parm("MultipartonInteractions:a1",        0.10  );
      parm("BeamRemnants:reconnectRange",       4.67  );
    }

    // ATLAS UE tune AU2-MRST2007LO*.
    else if (ppTune == 12) {
      if (preferLHAPDF) {
        flag("PDF:useLHAPDF",                   true  );
        word("PDF:LHAPDFset",   "MRST2007lomod.LHgrid");
      } else mode("PDF:pSet",                   3     );
      parm("MultipartonInteractions:pT0Ref",    2.39  );
      parm("MultipartonInteractions:ecmPow",    0.24  );
      parm("MultipartonInteractions:a1",        0.01  );
      parm("BeamRemnants:reconnectRange",       1.76  );
    }

    // ATLAS UE tune AU2-MRST2007LO**.
    else if (ppTune == 13) {
      if (preferLHAPDF) {
        flag("PDF:useLHAPDF",                   true  );
        word("PDF:LHAPDFset",        "MRSTMCal.LHgrid");
      } else mode("PDF:pSet",                   4     );
      parm("MultipartonInteractions:pT0Ref",    2.57  );
      parm("MultipartonInteractions:ecmPow",    0.23  );
      parm("MultipartonInteractions:a1",        0.01  );
      parm("BeamRemnants:reconnectRange",       1.47  );
    }
  }
 
  // The Monash 2013 tune by Peter Skands, the pp part (January 2014).
  else if (ppTune == 14) {
    mode("PDF:pSet",                            13    );   // NNPDF
    parm("SigmaProcess:alphaSvalue",            0.130 );   // same as PDF
    flag("SigmaTotal:zeroAXB",                  true  );
    flag("SigmaDiffractive:dampen",             true  );
    parm("SigmaDiffractive:maxXB",              65.0  );
    parm("SigmaDiffractive:maxAX",              65.0  );
    parm("SigmaDiffractive:maxXX",              65.0  );
    parm("Diffraction:largeMassSuppress",       4.0   );
    flag("TimeShower:dampenBeamRecoil",         true  );
    flag("TimeShower:phiPolAsym",               true  );
    parm("SpaceShower:alphaSvalue",             0.1365);   // same as FSR
    mode("SpaceShower:alphaSorder",             1     );
    flag("SpaceShower:alphaSuseCMW",            false );
    flag("SpaceShower:samePTasMPI",             false );
    parm("SpaceShower:pT0Ref",                  2.0   );
    parm("SpaceShower:ecmRef",                  7000.0);
    parm("SpaceShower:ecmPow",                  0.0   );
    flag("SpaceShower:rapidityOrder",           true  );
    flag("SpaceShower:phiPolAsym",              true  );
    flag("SpaceShower:phiIntAsym",              true  );
    parm("MultipartonInteractions:alphaSvalue", 0.130 );   // same as PDF
    parm("MultipartonInteractions:pT0Ref",      2.28  );
    parm("MultipartonInteractions:ecmRef",      7000. );
    parm("MultipartonInteractions:ecmPow",      0.215 );
    mode("MultipartonInteractions:bProfile",    3     );
    parm("MultipartonInteractions:expPow",      1.85  );
    parm("MultipartonInteractions:a1",          0.15  );
    parm("BeamRemnants:primordialKTsoft",       0.9   );
    parm("BeamRemnants:primordialKThard",       1.8   );
    parm("BeamRemnants:halfScaleForKT",         1.5   );
    parm("BeamRemnants:halfMassForKT",          1.0   );
    parm("BeamRemnants:reconnectRange",         1.80   );
  }
 
}

//--------------------------------------------------------------------------

// Convert string to lowercase for case-insensitive comparisons.
// Also remove initial and trailing blanks, if any.

string Settings::toLower(const string& name) {

  // Copy string without initial and trailing blanks.
  if (name.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos) return "";
  int firstChar = name.find_first_not_of(" \n\t\v\b\r\f\a");
  int lastChar  = name.find_last_not_of(" \n\t\v\b\r\f\a");
  string temp   = name.substr( firstChar, lastChar + 1 - firstChar);

  // Convert to lowercase letter by letter.
  for (int i = 0; i < int(temp.length()); ++i) temp[i] = tolower(temp[i]);
  return temp;

}

//--------------------------------------------------------------------------

// Allow several alternative inputs for true/false.

bool Settings::boolString(string tag) {

  string tagLow = toLower(tag);
  return ( tagLow == "true" || tagLow == "1" || tagLow == "on"
  || tagLow == "yes" || tagLow == "ok" );

}

//--------------------------------------------------------------------------

// Extract XML value string following XML attribute.

string Settings::attributeValue(string line, string attribute) {

  if (line.find(attribute) == string::npos) return "";
  int iBegAttri = line.find(attribute);
  int iBegQuote = line.find("\"", iBegAttri + 1);
  int iEndQuote = line.find("\"", iBegQuote + 1);
  return line.substr(iBegQuote + 1, iEndQuote - iBegQuote - 1);

}

//--------------------------------------------------------------------------

// Extract XML bool value following XML attribute.

bool Settings::boolAttributeValue(string line, string attribute) {

  string valString = attributeValue(line, attribute);
  if (valString == "") return false;
  return boolString(valString);

}

//--------------------------------------------------------------------------

// Extract XML int value following XML attribute.

int Settings::intAttributeValue(string line, string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return 0;
  istringstream valStream(valString);
  int intVal;
  valStream >> intVal;
  return intVal;

}

//--------------------------------------------------------------------------

// Extract XML double value following XML attribute.

double Settings::doubleAttributeValue(string line, string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return 0.;
  istringstream valStream(valString);
  double doubleVal;
  valStream >> doubleVal;
  return doubleVal;

}

//--------------------------------------------------------------------------

// Extract XML bool vector value following XML attribute.

vector Settings::boolVectorAttributeValue(string line,
  string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return vector(1, false);
  vector vectorVal;
  size_t       stringPos(0);
  while (stringPos != string::npos) {
    stringPos = valString.find(",");
    istringstream  valStream(valString.substr(0, stringPos));
    valString = valString.substr(stringPos + 1);
    vectorVal.push_back(boolString(valStream.str()));
  }
  return vectorVal;

}

//--------------------------------------------------------------------------

// Extract XML int vector value following XML attribute.

vector Settings::intVectorAttributeValue(string line,
  string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return vector(1, 0);
  int         intVal;
  vector vectorVal;
  size_t      stringPos(0);
  while (stringPos != string::npos) {
    stringPos = valString.find(",");
    istringstream  valStream(valString.substr(0, stringPos));
    valString = valString.substr(stringPos + 1);
    valStream >> intVal;
    vectorVal.push_back(intVal);
  }
  return vectorVal;
  
}

//--------------------------------------------------------------------------

// Extract XML double vector value following XML attribute.

vector Settings::doubleVectorAttributeValue(string line,
  string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return vector(1, 0.);
  double         doubleVal;
  vector vectorVal;
  size_t         stringPos(0);
  while (stringPos != string::npos) {
    stringPos = valString.find(",");
    istringstream  valStream(valString.substr(0, stringPos));
    valString = valString.substr(stringPos + 1);
    valStream >> doubleVal;
    vectorVal.push_back(doubleVal);
  }
  return vectorVal;
  
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/History.cc0000644000175000017500000076663112357054761015133 0ustar  sunsun// History.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file is written by Stefan Prestel.
// Function definitions (not found in the header) for the
// Clustering and History classes.

#include "Pythia8/History.h"

namespace Pythia8 {

//==========================================================================

// The Clustering class.

//--------------------------------------------------------------------------

// Declaration of Clustering class
// This class holds information about one radiator, recoiler,
// emitted system.
// This class is a container class for History class use.

// print for debug
void Clustering::list() const {
  cout << " emt " << emitted
       << " rad " << emittor
       << " rec " << recoiler
       << " partner " << partner
       << " pTscale " << pTscale << endl;
}

//==========================================================================

// The History class.

// A History object represents an event in a given step in the CKKW-L
// clustering procedure. It defines a tree-like recursive structure,
// where the root node represents the state with n jets as given by
// the matrix element generator, and is characterized by the member
// variable mother being null. The leaves on the tree corresponds to a
// fully clustered paths where the original n-jets has been clustered
// down to the Born-level state. Also states which cannot be clustered
// down to the Born-level are possible - these will be called
// incomplete. The leaves are characterized by the vector of children
// being empty.

//--------------------------------------------------------------------------

// Number of trial emission to use for calculating the average number of
// emissions
const int History::NTRIAL = 1;

//--------------------------------------------------------------------------

// Declaration of History class
// The only constructor. Default arguments are used when creating
// the initial history node. The \a depth is the maximum number of
// clusterings requested. \a scalein is the scale at which the \a
// statein was clustered (should be set to the merging scale for the
// initial history node. \a beamAIn and beamBIn are needed to
// calcutate PDF ratios, \a particleDataIn to have access to the
// correct masses of particles. If \a isOrdered is true, the previous
// clusterings has been ordered. \a is the PDF ratio for this
// clustering (=1 for FSR clusterings). \a probin is the accumulated
// probabilities for the previous clusterings, and \ mothin is the
// previous history node (null for the initial node).

History::History( int depth,
         double scalein,
         Event statein,
         Clustering c,
         MergingHooks* mergingHooksPtrIn,
         BeamParticle beamAIn,
         BeamParticle beamBIn,
         ParticleData* particleDataPtrIn,
         Info* infoPtrIn,
         bool isOrdered = true,
         bool isStronglyOrdered = true,
         bool isAllowed = true,
         bool isNextInInput = true,
         double probin = 1.0,
         History * mothin = 0)
    : state(statein),
      mother(mothin),
      sumpath(0.0),
      sumGoodBranches(0.0),
      sumBadBranches(0.0),
      foundOrderedPath(false),
      foundStronglyOrderedPath(false),
      foundAllowedPath(false),
      foundCompletePath(false),
      scale(scalein),
      nextInInput(isNextInInput),
      prob(probin),
      clusterIn(c),
      iReclusteredOld(0),
      doInclude(true),
      mergingHooksPtr(mergingHooksPtrIn),
      beamA(beamAIn),
      beamB(beamBIn),
      particleDataPtr(particleDataPtrIn),
      infoPtr(infoPtrIn)
    {

  // Initialise beam particles
  setupBeams();
  // Update probability with PDF ratio
  if (mother && mergingHooksPtr->includeRedundant()) prob *= pdfForSudakov();

  // Minimal scalar sum of pT used in Herwig to choose history
  // Keep track of scalar PT
  if (mother) {
    double acoll = (mother->state[clusterIn.emittor].isFinal())
                   ? mergingHooksPtr->herwigAcollFSR()
                   : mergingHooksPtr->herwigAcollISR();
    sumScalarPT = mother->sumScalarPT + acoll*scale;
  } else
    sumScalarPT = 0.0;

  // Remember reclustered radiator in lower multiplicity state
  if ( mother ) iReclusteredOld = mother->iReclusteredNew;

  // Check if more steps should be taken.
  int nFinalP = 0;
  int nFinalW = 0;
  for ( int i = 0; i < int(state.size()); ++i )
    if ( state[i].isFinal() ) {
      if ( state[i].colType() != 0 )
        nFinalP++;
      if ( state[i].idAbs() == 24 )
        nFinalW++;
    }
  if ( mergingHooksPtr->doWClustering()
    && nFinalP == 2 && nFinalW == 0 ) depth = 0;

  // If this is not the fully clustered state, try to find possible
  // QCD clusterings.
  vector clusterings;
  if ( depth > 0 ) clusterings = getAllQCDClusterings();

  // If necessary, try to find possible EW clusterings.
  vector clusteringsEW;
  if ( depth > 0 && mergingHooksPtr->doWClustering() )
    clusteringsEW = getAllEWClusterings();
  if ( !clusteringsEW.empty() ) {
    clusterings.resize(0);
    clusterings.insert( clusterings.end(), clusteringsEW.begin(),
                        clusteringsEW.end() );
  }

  // If necessary, try to find possible SQCD clusterings.
  vector clusteringsSQCD;
  if ( depth > 0 && mergingHooksPtr->doSQCDClustering() )
    clusteringsSQCD = getAllSQCDClusterings();
  if ( !clusteringsSQCD.empty() )
    clusterings.insert( clusterings.end(), clusteringsSQCD.begin(),
                        clusteringsSQCD.end() );

  // If no clusterings were found, the recursion is done and we
  // register this node.
  if ( clusterings.empty() ) {
    // Multiply with hard process matrix element.
    prob *= hardProcessME(state);
    registerPath( *this, isOrdered, isStronglyOrdered, isAllowed, depth == 0 );
    return;
  }

  // Now we sort the possible clusterings so that we try the
  // smallest scale first.
  multimap sorted;
  for ( int i = 0, N = clusterings.size(); i < N; ++i ) {
    sorted.insert(make_pair(clusterings[i].pT(), &clusterings[i]));
  }

  for ( multimap::iterator it = sorted.begin();
  it != sorted.end(); ++it ) {

    // If this path is not strongly ordered and we already have found an
    // ordered path, then we don't need to continue along this path.
    bool stronglyOrdered = isStronglyOrdered;
    if ( mergingHooksPtr->enforceStrongOrdering()
      && ( !stronglyOrdered
         || ( mother && ( it->first <
                mergingHooksPtr->scaleSeparationFactor()*scale ) ))) {
      if ( onlyStronglyOrderedPaths()  ) continue;
      stronglyOrdered = false;
    }

    // Check if reclustering follows ordered sequence.
    bool ordered = isOrdered;
    if (  mergingHooksPtr->orderInRapidity()
      && mergingHooksPtr->orderHistories() ) {
      // Get new z value
      double z = getCurrentZ((*it->second).emittor,
                   (*it->second).recoiler,(*it->second).emitted);
      // Get z value of splitting that produced this state
      double zOld = (!mother) ? 0. : mother->getCurrentZ(clusterIn.emittor,
                       clusterIn.recoiler,clusterIn.emitted);
      // If this path is not ordered in pT and y, and we already have found
      // an ordered path, then we don't need to continue along this path.
      if ( !ordered || ( mother && (it->first < scale
         || it->first < pow(1. - z,2) / (z * (1. - zOld ))*scale ))) {
        if ( onlyOrderedPaths()  ) continue;
        ordered = false;
      }

    } else if ( mergingHooksPtr->orderHistories() ) {
      // If this path is not ordered in pT and we already have found an
      // ordered path, then we don't need to continue along this path, unless
      // we have not yet found an allowed path.
      if ( !ordered || ( mother && (it->first < scale) ) ) {
        if ( onlyOrderedPaths() && onlyAllowedPaths() ) continue;
        ordered = false;
      }
    }

    // Check if reclustered state should be disallowed.
    bool doCut = mergingHooksPtr->canCutOnRecState()
              || mergingHooksPtr->allowCutOnRecState();
    bool allowed = isAllowed;
    if (  doCut
      && mergingHooksPtr->doCutOnRecState(cluster(*it->second)) ) {
      if ( onlyAllowedPaths()  ) continue;
      allowed = false;
    }

    // Perform the clustering and recurse and construct the next
    // history node.
    children.push_back(new History(depth - 1,it->first,cluster(*it->second),
           *it->second, mergingHooksPtr, beamA, beamB, particleDataPtr,
           infoPtr, ordered, stronglyOrdered, allowed, true,
           prob*getProb(*it->second), this ));
  }
}

//--------------------------------------------------------------------------

// Function to project all possible paths onto only the desired paths.

bool History::projectOntoDesiredHistories() {
  // At the moment, only trim histories.
  return trimHistories();
}

//--------------------------------------------------------------------------

// In the initial history node, select one of the paths according to
// the probabilities. This function should be called for the initial
// history node.
// IN  trialShower*    : Previously initialised trialShower object,
//                       to perform trial showering and as
//                       repository of pointers to initialise alphaS
//     PartonSystems* : PartonSystems object needed to initialise
//                      shower objects
// OUT double         : (Sukadov) , (alpha_S ratios) , (PDF ratios)

double History::weightTREE(PartonLevel* trial, AlphaStrong * asFSR,
                  AlphaStrong * asISR, double RN) {

  if ( mergingHooksPtr->canCutOnRecState() && !foundAllowedPath ) {
    string message="Warning in History::weightTREE: No allowed history";
    message+=" found. Using disallowed history.";
    infoPtr->errorMsg(message);
  }
  if ( mergingHooksPtr->orderHistories() && !foundOrderedPath ) {
    string message="Warning in History::weightTREE: No ordered history";
    message+=" found. Using unordered history.";
    infoPtr->errorMsg(message);
  }
  if ( mergingHooksPtr->canCutOnRecState()
    && mergingHooksPtr->orderHistories()
    && !foundAllowedPath && !foundOrderedPath ) {
    string message="Warning in History::weightTREE: No allowed or ordered";
    message+=" history found.";
    infoPtr->errorMsg(message);
  }

  // Read alpha_S in ME calculation and maximal scale (eCM)
  double asME     = infoPtr->alphaS();
  double maxScale = (foundCompletePath) ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();
  // Select a path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  // Get weight.
  double asWeight  = 1.;
  double pdfWeight = 1.;

  // Do trial shower, calculation of alpha_S ratios, PDF ratios
  double wt    = selected->weightTree( trial, asME, maxScale,
                   selected->clusterIn.pT(), asFSR, asISR, asWeight,
                   pdfWeight );

  // MPI no-emission probability
  int njetsMaxMPI = mergingHooksPtr->nMinMPI();
  double mpiwt = selected->weightTreeEmissions( trial, -1, njetsMaxMPI,
                   maxScale );

  // Set hard process renormalisation scale to default Pythia value.
  bool resetScales = mergingHooksPtr->resetHardQRen();
  // For pure QCD dijet events, evaluate the coupling of the hard process at
  // a more reasonable pT, rather than evaluation \alpha_s at a fixed
  // arbitrary scale.
  if ( resetScales
    && mergingHooksPtr->getProcessString().compare("pp>jj") == 0) {
    // Reset to a running coupling. Here we choose FSR for simplicity.
    double newQ2Ren = pow2( selected->hardRenScale(selected->state) );
    double runningCoupling = (*asFSR).alphaS(newQ2Ren) / asME;
    asWeight *= pow2(runningCoupling);
  }

  // For prompt photon events, evaluate the coupling of the hard process at
  // a more reasonable pT, rather than evaluation \alpha_s at a fixed
  // arbitrary scale.
  if ( resetScales
    && mergingHooksPtr->getProcessString().compare("pp>aj") == 0) {
    // Reset to a running coupling. In prompt photon always ISR.
    double newQ2Ren = pow2( selected->hardRenScale(selected->state) );
    double runningCoupling =
      (*asISR).alphaS( newQ2Ren + pow(mergingHooksPtr->pT0ISR(),2) ) / asME;
    asWeight *= runningCoupling;
  }

  // Done
  return (wt*asWeight*pdfWeight*mpiwt);

}

//--------------------------------------------------------------------------

// Function to return weight of virtual correction and subtractive events
// for NL3 merging

double History::weightLOOP(PartonLevel* trial, double RN ) {

  if ( mergingHooksPtr->canCutOnRecState() && !foundAllowedPath ) {
    string message="Warning in History::weightLOOP: No allowed history";
    message+=" found. Using disallowed history.";
    infoPtr->errorMsg(message);
  }

  // Select a path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  // So far, no reweighting
  double wt = 1.;

  // Only reweighting with MPI no-emission probability
  double maxScale = (foundCompletePath) ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();
  int njetsMaxMPI = mergingHooksPtr->nMinMPI();
  double mpiwt = selected->weightTreeEmissions( trial, -1, njetsMaxMPI,
                   maxScale );
  wt = mpiwt;
  // Done
  return wt;
}

//--------------------------------------------------------------------------

// Function to calculate O(\alpha_s)-term of CKKWL-weight for NLO merging

double History::weightFIRST(PartonLevel* trial, AlphaStrong* asFSR,
                  AlphaStrong* asISR, double RN, Rndm* rndmPtr ) {

  // Read alpha_S in ME calculation and maximal scale (eCM)
  double asME   = infoPtr->alphaS();
  double muR      = mergingHooksPtr->muRinME();
  double maxScale = (foundCompletePath)
                  ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();

  // Pick path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  double nSteps = mergingHooksPtr->getNumberOfClusteringSteps(state);

  // Get the lowest order k-factor and add first two terms in expansion
  double kFactor = asME * mergingHooksPtr->k1Factor(nSteps);

  // If using Bbar, which includes a tree-level part, subtract an
  // additional one, i.e. the O(\as^0) contribution as well
  double wt = 1. + kFactor;

  // Calculate sum of O(alpha) terms
  wt += selected->weightFirst(trial,asME, muR, maxScale, asFSR, asISR,
          rndmPtr );

  // Get starting scale for trial showers.
  double startingScale = (selected->mother) ? state.scale() : infoPtr->eCM();

  // Count emissions: New variant
  // Generate true average, not only one-point
  bool fixpdf = true;
  bool fixas  = true;
  double nWeight1 = 0.;
  for(int i=0; i < NTRIAL; ++i) {
    // Get number of emissions
    vector unresolvedEmissionTerm = countEmissions( trial,
      startingScale, mergingHooksPtr->tms(), 2, asME, asFSR, asISR, 3,
      fixpdf, fixas );
    nWeight1 += unresolvedEmissionTerm[1];
  }

  wt += nWeight1/double(NTRIAL);

  // Done
  return wt;

}

//--------------------------------------------------------------------------

double History::weight_UMEPS_TREE(PartonLevel* trial, AlphaStrong * asFSR,
                  AlphaStrong * asISR, double RN) {
  // No difference to CKKW-L. Recycle CKKW-L function.
  return weightTREE( trial, asFSR, asISR, RN);
}

//--------------------------------------------------------------------------

// Function to return weight of virtual correction events for NLO merging

double History::weight_UMEPS_SUBT(PartonLevel* trial, AlphaStrong * asFSR,
                  AlphaStrong * asISR, double RN ) {

  // Read alpha_S in ME calculation and maximal scale (eCM)
  double asME     = infoPtr->alphaS();
  double maxScale = (foundCompletePath) ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();
  // Select a path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  // Get weight.
  double asWeight  = 1.;
  double pdfWeight = 1.;

  // Do trial shower, calculation of alpha_S ratios, PDF ratios
  double sudakov = selected->weightTree(trial, asME, maxScale,
                     selected->clusterIn.pT(), asFSR, asISR,
                     asWeight, pdfWeight);

  // MPI no-emission probability.
  int njetsMaxMPI = mergingHooksPtr->nMinMPI()+1;
  double mpiwt = selected->weightTreeEmissions( trial, -1, njetsMaxMPI,
                   maxScale );

  // Set hard process renormalisation scale to default Pythia value.
  bool resetScales = mergingHooksPtr->resetHardQRen();
  // For pure QCD dijet events, evaluate the coupling of the hard process at
  // a more reasonable pT, rather than evaluation \alpha_s at a fixed
  // arbitrary scale.
  if ( resetScales
    && mergingHooksPtr->getProcessString().compare("pp>jj") == 0) {
    // Reset to a running coupling. Here we choose FSR for simplicity.
    double newQ2Ren = pow2( selected->hardRenScale(selected->state) );
    double runningCoupling = (*asFSR).alphaS(newQ2Ren) / asME;
    asWeight *= pow(runningCoupling,2);
  }

  // For prompt photon events, evaluate the coupling of the hard process at
  // a more reasonable pT, rather than evaluation \alpha_s at a fixed
  // arbitrary scale.
  if ( resetScales
    && mergingHooksPtr->getProcessString().compare("pp>aj") == 0) {
    // Reset to a running coupling. In prompt photon always ISR.
    double newQ2Ren = pow2( selected->hardRenScale(selected->state) );
    double runningCoupling =
      (*asISR).alphaS( newQ2Ren + pow(mergingHooksPtr->pT0ISR(),2) ) / asME;
    asWeight *= runningCoupling;
  }

  // Done
  return (asWeight*pdfWeight*sudakov*mpiwt);

}

//--------------------------------------------------------------------------

double History::weight_UNLOPS_TREE(PartonLevel* trial, AlphaStrong * asFSR,
                  AlphaStrong * asISR, double RN) {

  // Read alpha_S in ME calculation and maximal scale (eCM)
  double asME     = infoPtr->alphaS();
  double maxScale = (foundCompletePath) ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();
  // Select a path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  // Get weight.
  double asWeight  = 1.;
  double pdfWeight = 1.;

  // Do trial shower, calculation of alpha_S ratios, PDF ratios
  double wt = selected->weightTree(trial, asME, maxScale,
                selected->clusterIn.pT(), asFSR, asISR, asWeight, pdfWeight);
  // MPI no-emission probability.
  int njetsMaxMPI = mergingHooksPtr->nMinMPI();
  double mpiwt = selected->weightTreeEmissions( trial, -1, njetsMaxMPI,
                   maxScale );

  // Set hard process renormalisation scale to default Pythia value.
  bool resetScales = mergingHooksPtr->resetHardQRen();
  // For pure QCD dijet events, evaluate the coupling of the hard process at
  // a more reasonable pT, rather than evaluation \alpha_s at a fixed
  // arbitrary scale.
  if ( resetScales
    && mergingHooksPtr->getProcessString().compare("pp>jj") == 0) {
    // Reset to a running coupling. Here we choose FSR for simplicity.
    double newQ2Ren = pow2( selected->hardRenScale(selected->state) );
    double runningCoupling = (*asFSR).alphaS(newQ2Ren) / asME;
    asWeight *= pow(runningCoupling,2);
  }

  // For prompt photon events, evaluate the coupling of the hard process at
  // a more reasonable pT, rather than evaluation \alpha_s at a fixed
  // arbitrary scale.
  if ( resetScales
    && mergingHooksPtr->getProcessString().compare("pp>aj") == 0) {
    // Reset to a running coupling. In prompt photon always ISR.
    double newQ2Ren = pow2( selected->hardRenScale(selected->state) );
    double runningCoupling =
      (*asISR).alphaS( newQ2Ren + pow(mergingHooksPtr->pT0ISR(),2) ) / asME;
    asWeight *= runningCoupling;
  }

  // Done
  return (wt*asWeight*pdfWeight*mpiwt);

}

//--------------------------------------------------------------------------

double History::weight_UNLOPS_LOOP(PartonLevel* trial, double RN ) {
  // No difference to default NL3
  return weightLOOP(trial, RN );
}

//--------------------------------------------------------------------------

double History::weight_UNLOPS_SUBT(PartonLevel* trial, AlphaStrong * asFSR,
                  AlphaStrong * asISR, double RN ) {

  // Select a path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();
  // So far, no reweighting
  double wt = 1.;

  // Read alpha_S in ME calculation and maximal scale (eCM)
  double asME     = infoPtr->alphaS();
  double maxScale = (foundCompletePath)
                  ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();

  // Only allow two clusterings if all intermediate states above the
  // merging scale.
  double nSteps = mergingHooksPtr->getNumberOfClusteringSteps(state);
  if ( nSteps == 2 && mergingHooksPtr->nRecluster() == 2
    && ( !foundCompletePath
      || !selected->allIntermediateAboveRhoMS( mergingHooksPtr->tms() )) ) {
    return 0.;
  }

  // Get weights: alpha_S ratios and PDF ratios
  double asWeight  = 1.;
  double pdfWeight = 1.;
  // Do trial shower, calculation of alpha_S ratios, PDF ratios
  double sudakov = selected->weightTree(trial, asME, maxScale,
                     selected->clusterIn.pT(), asFSR, asISR,
                     asWeight, pdfWeight);
  // MPI no-emission probability.
  int njetsMaxMPI = mergingHooksPtr->nMinMPI()+1;
  double mpiwt = selected->weightTreeEmissions( trial, -1, njetsMaxMPI,
                   maxScale );

  // Set weight
  wt = ( mergingHooksPtr->nRecluster() == 2 ) ? 1.
     : asWeight*pdfWeight*sudakov*mpiwt;

  // Done
  return wt;

}

//--------------------------------------------------------------------------

double History::weight_UNLOPS_SUBTNLO(PartonLevel* trial, double RN ) {

  // Select a path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();
  // So far, no reweighting
  double wt = 1.;
  // Only reweighting with MPI no-emission probability
  double maxScale = (foundCompletePath) ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();
  int njetsMaxMPI = mergingHooksPtr->nMinMPI()+1;
  double mpiwt = selected->weightTreeEmissions( trial, -1, njetsMaxMPI,
                   maxScale );
  wt = mpiwt;
  // Done
  return wt;

}

//--------------------------------------------------------------------------

// Function to calculate O(\alpha_s)-term of CKKWL-weight for NLO merging

double History::weight_UNLOPS_CORRECTION( int order, PartonLevel* trial,
                  AlphaStrong* asFSR, AlphaStrong* asISR,
                  double RN, Rndm* rndmPtr ) {

  // Already done if no correction should be calculated
  if ( order < 0 ) return 0.;

  // Read alpha_S in ME calculation and maximal scale (eCM)
  double asME   = infoPtr->alphaS();
  double muR      = mergingHooksPtr->muRinME();
  double maxScale = (foundCompletePath)
                  ? infoPtr->eCM()
                  : mergingHooksPtr->muFinME();

  // Pick path of clusterings
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  double nSteps = mergingHooksPtr->getNumberOfClusteringSteps(state);

  // Get the lowest order k-factor and add first two terms in expansion
  double kFactor = asME * mergingHooksPtr->k1Factor(nSteps);

  // If using Bbar, which includes a tree-level part, subtract an
  // additional one, i.e. the O(\as^0) contribution as well
  double wt = 1.;

  // If only O(\alpha_s^0)-term is to be calculated, done already.
  if ( order == 0 ) return wt;

  // Start by adding the O(\alpha_s^1)-term of the k-factor.
  wt += kFactor;

  // Calculate sum of O(\alpha_s^1)-terms of the ckkw-l weight WITHOUT
  // the O(\alpha_s^1)-term of the last no-emission probability.
  bool fixpdf = true;
  bool fixas  = true;
  // Get first term in expansion of alpha_s ratios.
  double wA   = selected->weightFirstALPHAS( asME, muR, asFSR, asISR );
  // Add logarithm from \alpha_s expansion to weight.
  wt         += (fixas) ? wA : 0.;
  // Generate true average, not only one-point.
  double nWeight = 0.;
  for ( int i=0; i < NTRIAL; ++i ) {
    // Get average number of emissions.
    double wE   = selected->weightFirstEmissions(trial,asME, maxScale,
      asFSR, asISR, fixpdf, fixas );
    // Add average number of emissions off reconstructed states to weight.
    nWeight    += wE;
    // Get first term in expansion of PDF ratios.
    double pscale = selected->clusterIn.pT();
    double wP   = selected->weightFirstPDFs(asME, maxScale, pscale, rndmPtr);
    // Add integral of DGLAP shifted PDF ratios from \alpha_s expansion to wt.
    nWeight    += (fixpdf) ? wP : 0.;
  }
  wt += nWeight/double(NTRIAL);

  // If O(\alpha_s^1)-term + O(\alpha_s^1)-term is to be calculated, done.
  if ( order == 1 ) return wt;

  // So far, no calculation of  O(\alpha_s^2)-term
  return 0.;

}

//--------------------------------------------------------------------------

// Function to set the state with complete scales for evolution.

void History::getStartingConditions( const double RN, Event& outState ) {

  // Select the history
  History *  selected = select(RN);

  // Set scales in the states to the scales pythia would have set
  selected->setScalesInHistory();

  // Copy the output state
  outState = state;

  // Set the scale of the lowest order process
  if (!selected->mother) {
    int nFinal = 0;
    for(int i=0; i < int(outState.size()); ++i)
      if (outState[i].isFinal()) nFinal++;
    if (nFinal <=2)
      outState.scale(mergingHooksPtr->muF());

      // Save information on last splitting, to allow the next
      // emission in the shower to have smaller rapidity with
      // respect to the last ME splitting
      // For hard process, use dummy values
      if (mergingHooksPtr->getNumberOfClusteringSteps(state) == 0) {
        infoPtr->zNowISR(0.5);
        infoPtr->pT2NowISR(pow(state[0].e(),2));
        infoPtr->hasHistory(true);
      // For incomplete process, try to use real values
      } else {
        infoPtr->zNowISR(selected->zISR());
        infoPtr->pT2NowISR(pow(selected->pTISR(),2));
        infoPtr->hasHistory(true);
      }

  } else {

    // Save information on last splitting, to allow the next
    // emission in the shower to have smaller rapidity with
    // respect to the last ME splitting
    infoPtr->zNowISR(selected->zISR());
    infoPtr->pT2NowISR(pow(selected->pTISR(),2));
    infoPtr->hasHistory(true);

  }

  // Save MPI starting scale
  if (mergingHooksPtr->getNumberOfClusteringSteps(state) == 0)
    mergingHooksPtr->muMI(infoPtr->eCM());
  else
    mergingHooksPtr->muMI(outState.scale());

}

//--------------------------------------------------------------------------

// Function to print the history that would be chosen from the number RN.

void History::printHistory( const double RN ) {
  History *  selected = select(RN);
  selected->printStates();
  // Done
}

//--------------------------------------------------------------------------

// Function to print the states in a history, starting from the hard process.

void History::printStates() {
  if ( !mother ) {
    state.list();
    return;
  }
  // Print.
  state.list();
  // Recurse
  mother->printStates();
  // Done
  return;
}

//--------------------------------------------------------------------------

// Function to set the state with complete scales for evolution.

bool History::getClusteredEvent( const double RN, int nSteps,
                Event& outState) {

  // Select history
  History *  selected = select(RN);
  // Set scales in the states to the scales pythia would have set
  // (Only needed if not done before in calculation of weights or
  //  setting of starting conditions)
  selected->setScalesInHistory();
  // If the history does not allow for nSteps clusterings (e.g. because the
  // history is incomplete), return false
  if (nSteps > selected->nClusterings()) return false;
  // Return event with nSteps-1 additional partons (i.e. recluster the last
  // splitting) and copy the output state
  outState = selected->clusteredState(nSteps-1);
  // Done.
  return true;

}

//--------------------------------------------------------------------------

bool History::getFirstClusteredEventAboveTMS( const double RN, int nDesired,
                Event& process, int& nPerformed, bool doUpdate ) {

  // Do reclustering (looping) steps. Remember process scale.
  int nTried  = nDesired - 1;
  // Get number of clustering steps.
  int nSteps   = select(RN)->nClusterings();
  // Set scales in the states to the scales pythia would have set.
  select(RN)->setScalesInHistory();

  // Recluster until reclustered event is above the merging scale.
  Event dummy = Event();
  do {
    // Initialise temporary output of reclustering.
    dummy.clear();
    dummy.init( "(hard process-modified)", particleDataPtr );
    dummy.clear();
    // Recluster once more.
    nTried++;
    // If reclustered event does not exist, exit.
    if ( !getClusteredEvent( RN, nSteps-nTried+1, dummy ) ) return false;
    if ( nTried >= nSteps ) break;
    // Continue loop if reclustered event has unresolved partons.
  } while ( mergingHooksPtr->rhoms( dummy, false) < mergingHooksPtr->tms() );

  // Update the hard process.
  if ( doUpdate ) process = dummy;

  // Failed to produce output state.
  if ( nTried > nSteps ) return false;

  nPerformed = nTried;
  if ( doUpdate ) {
    // Update to the actual number of steps.
    mergingHooksPtr->nReclusterSave = nPerformed;
    // Save MPI starting scale
    if (mergingHooksPtr->getNumberOfClusteringSteps(state) == 0)
      mergingHooksPtr->muMI(infoPtr->eCM());
    else
      mergingHooksPtr->muMI(state.scale());
  }

  // Done
  return true;

}

//--------------------------------------------------------------------------

// Calculate and return pdf ratio.

double History::getPDFratio( int side, bool forSudakov, bool useHardPDFs,
                    int flavNum, double xNum, double muNum,
                    int flavDen, double xDen, double muDen) {

  // Do nothing for e+e- beams
  if ( abs(flavNum) > 10 && flavNum != 21 ) return 1.0;
  if ( abs(flavDen) > 10 && flavDen != 21 ) return 1.0;

  // Now calculate PDF ratio if necessary
  double pdfRatio = 1.0;

  // Get mother and daughter pdfs
  double pdfNum = 0.0;
  double pdfDen = 0.0;

  // Use hard process PDFs (i.e. PDFs NOT used in ISR, FSR or MPI).
  if ( useHardPDFs ) {
    if (side == 1) {
      if (forSudakov)
        pdfNum = mother->beamA.xfHard( flavNum, xNum, muNum*muNum);
      else
        pdfNum = beamA.xfHard( flavNum, xNum, muNum*muNum);
      if (forSudakov)
        pdfDen = max(1e-10, beamA.xfHard( flavDen, xDen, muDen*muDen));
      else
        pdfDen = max(1e-10, beamA.xfHard( flavDen, xDen, muDen*muDen));
    } else {
      if (forSudakov)
        pdfNum = mother->beamB.xfHard( flavNum, xNum, muNum*muNum);
      else
        pdfNum = beamB.xfHard( flavNum, xNum, muNum*muNum);

      if (forSudakov)
        pdfDen = max(1e-10,beamB.xfHard( flavDen, xDen, muDen*muDen));
      else
        pdfDen = max(1e-10,beamB.xfHard( flavDen, xDen, muDen*muDen));
    }

  // Use rescaled PDFs in the presence of multiparton interactions
  } else {
    if (side == 1) {
      if (forSudakov)
        pdfNum = mother->beamA.xfISR(0, flavNum, xNum, muNum*muNum);
      else
        pdfNum = beamA.xfISR(0, flavNum, xNum, muNum*muNum);
      if (forSudakov)
        pdfDen = max(1e-10, beamA.xfISR(0, flavDen, xDen, muDen*muDen));
      else
        pdfDen = max(1e-10, beamA.xfISR(0, flavDen, xDen, muDen*muDen));

    } else {
      if (forSudakov)
        pdfNum = mother->beamB.xfISR(0, flavNum, xNum, muNum*muNum);
      else
        pdfNum = beamB.xfISR(0, flavNum, xNum, muNum*muNum);

      if (forSudakov)
        pdfDen = max(1e-10,beamB.xfISR(0, flavDen, xDen, muDen*muDen));
      else
        pdfDen = max(1e-10,beamB.xfISR(0, flavDen, xDen, muDen*muDen));
    }
  }

  // Return ratio of pdfs
  if ( pdfNum > 1e-15 && pdfDen > 1e-10 ) {
    pdfRatio *= pdfNum / pdfDen;
  } else if ( pdfNum < pdfDen ) {
    pdfRatio = 0.;
  } else if ( pdfNum > pdfDen ) {
    pdfRatio = 1.;
  }

  // Done
  return pdfRatio;

}

//--------------------------------------------------------------------------

/*--------------- METHODS USED FOR ONLY ONE PATH OF HISTORY NODES ------- */

// Function to set all scales in the sequence of states. This is a
// wrapper routine for setScales and setEventScales methods

void History::setScalesInHistory() {
  // Find correct links from n+1 to n states (mother --> child), as
  // needed for enforcing ordered scale sequences
  vector ident;
  findPath(ident);
  // Set production scales in the states to the scales pythia would
  // have set and enforce ordering
  setScales(ident,true);
  // Set the overall event scales to the scale of the last branching
  setEventScales();
}

//--------------------------------------------------------------------------

// Function to find the index (in the mother histories) of the
// child history, thus providing a way access the path from both
// initial history (mother == 0) and final history (all children == 0)
// IN vector : The index of each child in the children vector
//                  of the current history node will be saved in
//                  this vector
// NO OUTPUT

void History::findPath(vector& out) {

  // If the initial and final nodes are identical, return
  if (!mother && int(children.size()) < 1) return;
  // Find the child by checking the children vector for the perfomed
  // clustering
  int iChild=-1;
  if ( mother ) {
    int size = int(mother->children.size());
    // Loop through children and identify child chosen
    for ( int i=0; i < size; ++i) {
      if ( mother->children[i]->scale == scale
        && mother->children[i]->prob  == prob
        && equalClustering(mother->children[i]->clusterIn,clusterIn)) {
        iChild = i;
        break;
      }
    }
    // Save the index of the child in the children vector and recurse
    if (iChild >-1)
      out.push_back(iChild);
    mother->findPath(out);
  }
}

//--------------------------------------------------------------------------

// Functions to set the  parton production scales and enforce
// ordering on the scales of the respective clusterings stored in
// the History node:
// Method will start from lowest multiplicity state and move to
// higher states, setting the production scales the shower would
// have used.
// When arriving at the highest multiplicity, the method will switch
// and go back in direction of lower states to check and enforce
// ordering for unordered histories.
// IN vector : Vector of positions of the chosen child
//                  in the mother history to allow to move
//                  in direction initial->final along path
//    bool        : True: Move in direction low->high
//                       multiplicity and set production scales
//                  False: Move in direction high->low
//                       multiplicity and check and enforce
//                       ordering
// NO OUTPUT

void History::setScales( vector index, bool forward) {

  // First, set the scales of the hard process to the kinematial
  // limit (=s)
  if ( children.empty() && forward ) {
    // New "incomplete" configurations showered from mu
    if (!mother) {
      double scaleNew = 1.;

      if (mergingHooksPtr->incompleteScalePrescip()==0) {
        scaleNew = mergingHooksPtr->muF();
      } else if (mergingHooksPtr->incompleteScalePrescip()==1) {
        Vec4 pOut;
        pOut.p(0.,0.,0.,0.);
        for(int i=0; iincompleteScalePrescip()==2) {
        scaleNew = state[0].e();
      }

      scaleNew = max( mergingHooksPtr->pTcut(), scaleNew);

      state.scale(scaleNew);
      for(int i=3; i < int(state.size());++i)
        if (state[i].colType() != 0)
          state[i].scale(scaleNew);
    } else {
      // 2->2 with non-parton particles showered from eCM
      state.scale( state[0].e() );
      // Count final partons
      bool isLEP = ( state[3].isLepton() && state[4].isLepton() );
      int nFinal = 0;
      int nFinalPartons = 0;
      int nFinalPhotons = 0;
      for ( int i=0; i < int(state.size()); ++i ) {
        if ( state[i].isFinal() ) {
          nFinal++;
          if ( state[i].colType() != 0 ) nFinalPartons++;
          if ( state[i].id() == 22 )     nFinalPhotons++;
        }
      }
      bool isQCD = ( nFinal == 2 && nFinal == nFinalPartons );
      bool isPPh = ( nFinal == 2 && nFinalPartons == 1 && nFinalPhotons == 1);
      // If 2->2, purely partonic, set event scale to kinematic pT
      if ( !isLEP && ( isQCD || isPPh ) )
        state.scale( hardFacScale(state) );

    }
  }
  // Set all particle production scales, starting from lowest
  // multiplicity (final) state
  if (mother && forward) {
    // When choosing splitting scale, beware of unordered splittings:
    double scaleNew = 1.;
    if (mergingHooksPtr->unorderedScalePrescip() == 0) {
      // Use larger scale as common splitting scale for mother and child
      scaleNew = max( mergingHooksPtr->pTcut(), max(scale,mother->scale));
    } else if (mergingHooksPtr->unorderedScalePrescip() == 1) {
      // Use smaller scale as common splitting scale for mother and child
      if (scale < mother->scale)
        scaleNew *= max( mergingHooksPtr->pTcut(), min(scale,mother->scale));
      else
        scaleNew *= max( mergingHooksPtr->pTcut(), max(scale,mother->scale));
    }

    // Rescale the mother state partons to the clustering scales
    // that have been found along the path
    mother->state[clusterIn.emitted].scale(scaleNew);
    mother->state[clusterIn.emittor].scale(scaleNew);
    mother->state[clusterIn.recoiler].scale(scaleNew);

    // Find unchanged copies of partons in higher multiplicity states
    // and rescale those
    mother->scaleCopies(clusterIn.emitted, mother->state, scaleNew);
    mother->scaleCopies(clusterIn.emittor, mother->state, scaleNew);
    mother->scaleCopies(clusterIn.recoiler, mother->state, scaleNew);

    // Recurse
    mother->setScales(index,true);
  }

  // Now, check and correct ordering from the highest multiplicity
  // state backwards to all the clustered states
  if (!mother || !forward) {
    // Get index of child along the path
    int iChild = -1;
    if ( int(index.size()) > 0 ) {
      iChild = index.back();
      index.pop_back();
    }

    // Check that the reclustered scale is above the shower cut
    if (mother) {
      scale = max(mergingHooksPtr->pTcut(), scale);
    }
    // If this is NOT the 2->2 process, check and enforce ordering
    if (iChild != -1 && !children.empty()) {

      if (scale > children[iChild]->scale ) {
        if (mergingHooksPtr->unorderedScalePrescip() == 0) {
          // Use larger scale as common splitting scale for mother and child
          double scaleNew = max( mergingHooksPtr->pTcut(),
                              max(scale,children[iChild]->scale));
          // Enforce ordering in particle production scales
          for( int i = 0; i < int(children[iChild]->state.size()); ++i)
            if (children[iChild]->state[i].scale() == children[iChild]->scale)
              children[iChild]->state[i].scale(scaleNew);
          // Enforce ordering in saved clustering scale
          children[iChild]->scale = scaleNew;

        } else if ( mergingHooksPtr->unorderedScalePrescip() == 1) {
           // Use smaller scale as common splitting scale for mother & child
           double scaleNew = max(mergingHooksPtr->pTcut(),
                               min(scale,children[iChild]->scale));
           // Enforce ordering in particle production scales
           for( int i = 0; i < int(state.size()); ++i)
             if (state[i].scale() == scale)
               state[i].scale(scaleNew);
           // Enforce ordering in saved clustering scale
           scale = scaleNew;
        }
      // Just set the overall event scale to the minimal scale
      } else {
        double scalemin = state[0].e();
        for( int i = 0; i < int(state.size()); ++i)
          if (state[i].colType() != 0)
            scalemin = max(mergingHooksPtr->pTcut(),
                         min(scalemin,state[i].scale()));
        state.scale(scalemin);
        scale = max(mergingHooksPtr->pTcut(), scale);
      }
      //Recurse
      children[iChild]->setScales(index, false);
    }
  }

}

//--------------------------------------------------------------------------

// Function to find a particle in all higher multiplicity events
// along the history path and set its production scale to the input
// scale
// IN  int iPart       : Parton in refEvent to be checked / rescaled
//     Event& refEvent : Reference event for iPart
//     double scale    : Scale to be set as production scale for
//                       unchanged copies of iPart in subsequent steps

void History::scaleCopies(int iPart, const Event& refEvent, double rho) {

  // Check if any parton recently rescaled is found unchanged:
  // Same charge, colours in mother->state
  if ( mother ) {
    for( int i=0; i < mother->state.size(); ++i) {
      if ( ( mother->state[i].id()         == refEvent[iPart].id()
          && mother->state[i].colType()    == refEvent[iPart].colType()
          && mother->state[i].chargeType() == refEvent[iPart].chargeType()
          && mother->state[i].col()        == refEvent[iPart].col()
          && mother->state[i].acol()       == refEvent[iPart].acol() )
         ) {
        // Rescale the unchanged parton
        mother->state[i].scale(rho);
        // Recurse
         if (mother->mother)
          mother->scaleCopies( iPart, refEvent, rho );
       } // end if found unchanged parton case
    } // end loop over particle entries in event
  }
}

//--------------------------------------------------------------------------

// Functions to set the OVERALL EVENT SCALES [=state.scale()] to
// the scale of the last clustering
// NO INPUT
// NO OUTPUT

void History::setEventScales() {
  // Set the event scale to the scale of the last clustering,
  // except for the very lowest multiplicity state
  if (mother) {
    mother->state.scale(scale);
    // Recurse
    mother->setEventScales();
  }
}

//--------------------------------------------------------------------------

// Functions to return the z value of the last ISR splitting
// NO INPUT
// OUTPUT double : z value of last ISR splitting in history

double History::zISR() {

  // Do nothing for ME level state
  if (!mother) return 0.0;
  // Skip FSR splitting
  if (mother->state[clusterIn.emittor].isFinal()) return mother->zISR();
  // Calculate z
  int rad = clusterIn.emittor;
  int rec = clusterIn.recoiler;
  int emt = clusterIn.emitted;
  double z = (mother->state[rad].p() + mother->state[rec].p()
            - mother->state[emt].p()).m2Calc()
    / (mother->state[rad].p() + mother->state[rec].p()).m2Calc();
  // Recurse
  double znew = mother->zISR();
  // Update z
  if (znew > 0.) z = znew;

  return z;
}

//--------------------------------------------------------------------------

// Functions to return the z value of the last FSR splitting
// NO INPUT
// OUTPUT double : z value of last FSR splitting in history

double History::zFSR() {

  // Do nothing for ME level state
  if (!mother) return 0.0;
  // Skip ISR splitting
  if (!mother->state[clusterIn.emittor].isFinal()) return mother->zFSR();
  // Calculate z
  int rad = clusterIn.emittor;
  int rec = clusterIn.recoiler;
  int emt = clusterIn.emitted;
  // Construct 2->3 variables for FSR
  Vec4   sum = mother->state[rad].p() + mother->state[rec].p()
             + mother->state[emt].p();
  double m2Dip = sum.m2Calc();
  double x1 = 2. * (sum * mother->state[rad].p()) / m2Dip;
  double x3 = 2. * (sum * mother->state[emt].p()) / m2Dip;
  // Calculate z of splitting for FSR
  double z = x1/(x1+x3);
  // Recurse
  double znew = mother->zFSR();
  // Update z
  if (znew > 0.) z = znew;

  return z;
}

//--------------------------------------------------------------------------

// Functions to return the pT scale of the last FSR splitting
// NO INPUT
// OUTPUT double : pT scale of last FSR splitting in history

double History::pTISR() {
  // Do nothing for ME level state
  if (!mother) return 0.0;
  // Skip FSR splitting
  if (mother->state[clusterIn.emittor].isFinal()) return mother->pTISR();
  double pT = mother->state.scale();
  // Recurse
  double pTnew = mother->pTISR();
  // Update pT
  if (pTnew > 0.) pT = pTnew;

  return pT;
}

//--------------------------------------------------------------------------

// Functions to return the pT scale of the last FSR splitting
// NO INPUT
// OUTPUT double : pT scale of last FSR splitting in history

double History::pTFSR() {

  // Do nothing for ME level state
  if (!mother) return 0.0;
  // Skip ISR splitting
  if (!mother->state[clusterIn.emittor].isFinal()) return mother->pTFSR();
  double pT = mother->state.scale();
  // Recurse
  double pTnew = mother->pTFSR();
  // Update pT
  if (pTnew > 0.) pT = pTnew;
  return pT;
}

//--------------------------------------------------------------------------

// Function to return the depth of the history (i.e. the number of
// reclustered splittings)
// NO INPUT
// OUTPUT int  : Depth of history

int History::nClusterings() {
  if (!mother) return 0;
  int w = mother->nClusterings();
  w += 1;
  return w;
}

//--------------------------------------------------------------------------

// Functions to return the event after nSteps splittings of the 2->2 process
// Example: nSteps = 1 -> return event with one additional parton
// INPUT  int   : Number of splittings in the event,
//                as counted from core 2->2 process
// OUTPUT Event : event with nSteps additional partons

Event History::clusteredState(int nSteps) {

  // Save state
  Event outState = state;
  // As long as there are steps to do, recursively save state
  if (mother && nSteps > 0)
    outState = mother->clusteredState(nSteps - 1);
  // Done
  return outState;

}

//--------------------------------------------------------------------------

// Function to choose a path from all paths in the tree
// according to their splitting probabilities
// IN double    : Random number
// OUT History* : Leaf of history path chosen

History * History::select(double rnd) {

  // No need to choose if no paths have been constructed.
  if ( goodBranches.empty() && badBranches.empty() ) return this;

  // Choose amongst paths allowed by projections.
  double sum = 0.;
  map selectFrom;
  if ( !goodBranches.empty() ) {
    selectFrom = goodBranches;
    sum        = sumGoodBranches;
  } else {
    selectFrom = badBranches;
    sum        = sumBadBranches;
  }

  if (mergingHooksPtr->pickBySumPT()) {
    // Find index of history with minimal sum of scalar pT
    int nFinal = 0;
    for (int i=0; i < state.size(); ++i)
      if (state[i].isFinal())
        nFinal++;
    double iMin = 0.;
    double sumMin = (nFinal-2)*state[0].e();
    for ( map::iterator it = selectFrom.begin();
      it != selectFrom.end(); ++it ) {

      if (it->second->sumScalarPT < sumMin) {
        sumMin = it->second->sumScalarPT;
        iMin = it->first;
      }
    }
    // Choose history with smallest sum of scalar pT
    return selectFrom.lower_bound(iMin)->second;
  } else {
    // Choose history according to probability, be careful about upper bound
    if ( rnd != 1. ) {
      return selectFrom.upper_bound(sum*rnd)->second;
    } else {
      return selectFrom.lower_bound(sum*rnd)->second;
    }
  }
  // Done
}

//--------------------------------------------------------------------------

// Function to project paths onto desired paths.

bool History::trimHistories() {
  // Do nothing if no paths have been constructed.
  if ( paths.empty() ) return false;
  // Loop through all constructed paths. Check all removal conditions.
  for ( map::iterator it = paths.begin();
    it != paths.end(); ++it ) {
    // Check if history is allowed.
    if ( it->second->keep() && !it->second->keepHistory() )
      it->second->remove();
  }
  // Project onto desired / undesired branches.
  double sumold, sumnew, sumprob, mismatch;
  sumold = sumnew = sumprob = mismatch = 0.;
  // Loop through all constructed paths and store allowed paths.
  // Skip undesired paths.
  for ( map::iterator it = paths.begin();
    it != paths.end(); ++it ) {
    // Update index
    sumnew = it->first;
    if ( it->second->keep() ) {
      // Fill branches with allowed paths.
      goodBranches.insert( make_pair( sumnew - mismatch, it->second) );
      // Add probability of this path.
      sumGoodBranches = sumnew - mismatch;
    } else {
      // Update mismatch in probabilities resulting from not including this
      // path
      double mismatchOld = mismatch;
      mismatch += sumnew - sumold;
      // Fill branches with allowed paths.
      badBranches.insert( make_pair( mismatchOld + sumnew - sumold,
        it->second ) );
      // Add probability of this path.
      sumBadBranches = mismatchOld  + sumnew - sumold;
    }
    // remember index of this path in order to caclulate probability of
    // subsequent path.
    sumold = it->first;
  }
  // Done
  return !goodBranches.empty();
}

//--------------------------------------------------------------------------

// Function implementing checks on a paths, deciding if the path is valid.

bool History::keepHistory() {
  bool keepPath = true;
  // Tag unordered paths for removal.
  if ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
    || mergingHooksPtr->getProcessString().compare("pp>aj") == 0 ) {
    // Tag unordered paths for removal. Include scale of hard 2->2 process
    // into the ordering definition.
    double maxScale = hardFacScale(state);
    keepPath = isOrderedPath( maxScale );
  }

  //Done
  return keepPath;
}

//--------------------------------------------------------------------------

// Function to check if a path is ordered in evolution pT.

bool History::isOrderedPath( double maxscale ) {
  double newscale = clusterIn.pT();
  if ( !mother ) return true;
  bool ordered = mother->isOrderedPath(newscale);
  if ( !ordered || maxscale < newscale) return false;
  return ordered;
}

//--------------------------------------------------------------------------

// Function to check if all reconstucted states in a path pass the merging
// scale cut.

bool History::allIntermediateAboveRhoMS( double rhoms, bool good ) {
  // If one state below the merging scale has already been found, no need to
  // check further.
  if ( !good ) return false;
  // Check merging scale for states with more than 0 jets
  int nFinal = 0;
  for ( int i = 0; i < state.size(); ++i )
    if ( state[i].isFinal() && state[i].colType() != 0 )
      nFinal++;
  double rhoNew = (nFinal > 0 ) ? mergingHooksPtr->rhoms( state, false )
                : state[0].e();
  // Assume state from ME generator passes merging scale cut.
  if ( !mother ) return good;
  // Recurse.
  return good && mother->allIntermediateAboveRhoMS( rhoms, (rhoNew > rhoms) );
}

//--------------------------------------------------------------------------

// Function to check if any ordered paths were found (and kept).

bool History::foundAnyOrderedPaths() {
  //Do nothing if no paths were found
  if ( paths.empty() ) return false;
  double maxscale = infoPtr->eCM();
  // Loop through paths. Divide probability into ordered and unordered pieces.
  for ( map::iterator it = paths.begin();
    it != paths.end(); ++it )
    if ( it->second->isOrderedPath(maxscale) )
      return true;
  // Done
  return false;
}

//--------------------------------------------------------------------------

// For a full path, find the weight calculated from the ratio of
// couplings, the no-emission probabilities, and possible PDF
// ratios. This function should only be called for the last history
// node of a full path.
// IN  TimeShower : Already initialised shower object to be used as
//                  trial shower
//     double     : alpha_s value used in ME calculation
//     double     : Maximal mass scale of the problem (e.g. E_CM)
//     AlphaStrong: Initialised shower alpha_s object for FSR
//                  alpha_s ratio calculation
//     AlphaStrong: Initialised shower alpha_s object for ISR
//                  alpha_s ratio calculation (can be different from previous)

double History::weightTree(PartonLevel* trial, double as0, double maxscale,
  double pdfScale, AlphaStrong * asFSR, AlphaStrong * asISR,
  double& asWeight, double& pdfWeight) {

  // Use correct scale
  double newScale = scale;

  // For ME state, just multiply by PDF ratios
  if ( !mother ) {

    int sideRad = (state[3].pz() > 0) ? 1 :-1;
    int sideRec = (state[4].pz() > 0) ? 1 :-1;
    // Calculate PDF first leg
    if (state[3].colType() != 0) {
      // Find x value and flavour
      double x = 2.*state[3].e() / state[0].e();
      int flav = state[3].id();

      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // For initial parton, multiply by PDF ratio
      double ratio = getPDFratio(sideRad, false, false, flav, x, scaleNum,
                       flav, x, scaleDen);
      pdfWeight *= ratio;
    }

    // Calculate PDF ratio for second leg
    if (state[4].colType() != 0) {
      // Find x value and flavour
      double x = 2.*state[4].e() / state[0].e();
      int flav = state[4].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // For initial parton, multiply with PDF ratio
      double ratio = getPDFratio(sideRec, false, false, flav, x, scaleNum,
                       flav, x, scaleDen);
      pdfWeight *= ratio;
    }

    return 1.0;
  }

  // Remember new PDF scale n case true sclae should be used for un-ordered
  // splittings.
  double newPDFscale = newScale;
  if (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
    newPDFscale = clusterIn.pT();

  // Recurse
  double w = mother->weightTree(trial, as0, newScale, newPDFscale,
                       asFSR, asISR, asWeight, pdfWeight);

  // Do nothing for empty state
  if (state.size() < 3) return 1.0;
  // If up to now, trial shower was not successful, return zero
  if ( w < 1e-12 ) return 0.0;
  // Do trial shower on current state, return zero if not successful
  w *= doTrialShower(trial, 1, maxscale);
  if ( w < 1e-12 ) return 0.0;

  // Calculate alpha_s ratio for current state
  if ( asFSR && asISR ) {
    double asScale = pow2( newScale );
    if (mergingHooksPtr->unorderedASscalePrescip() == 1)
      asScale = pow2( clusterIn.pT() );
    bool FSR = mother->state[clusterIn.emittor].isFinal();
    double alphaSinPS = (FSR) ? (*asFSR).alphaS(asScale)
                      : (*asISR).alphaS(asScale
                                       + pow2(mergingHooksPtr->pT0ISR()) );
    asWeight *= alphaSinPS / as0;
  }

  // Calculate pdf ratios: Get both sides of event
  int inP = 3;
  int inM = 4;
  int sideP = (mother->state[inP].pz() > 0) ? 1 :-1;
  int sideM = (mother->state[inM].pz() > 0) ? 1 :-1;

  if ( mother->state[inP].colType() != 0 ) {
    // Find x value and flavour
    double x = getCurrentX(sideP);
    int flav = getCurrentFlav(sideP);
    // Find numerator scale
    double scaleNum = (children.empty())
                    ? hardFacScale(state)
                    : ( (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                      ? pdfScale : maxscale );
    double scaleDen = (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                    ? clusterIn.pT() : newScale;
    // Multiply PDF ratio
    double ratio = getPDFratio(sideP, false, false, flav, x, scaleNum,
                     flav, x, scaleDen);
    pdfWeight *= ratio;
  }

  if ( mother->state[inM].colType() != 0 ) {
    // Find x value and flavour
    double x = getCurrentX(sideM);
    int flav = getCurrentFlav(sideM);
    // Find numerator scale
    double scaleNum = (children.empty())
                    ? hardFacScale(state)
                    : ( (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                      ? pdfScale : maxscale );
    double scaleDen = (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                    ? clusterIn.pT() : newScale;
    // Multiply PDF ratio
    double ratio = getPDFratio(sideM, false, false, flav, x, scaleNum,
                     flav, x, scaleDen);
    pdfWeight *= ratio;
  }

  // Done
  return w;
}

//--------------------------------------------------------------------------

// Function to return the \alpha_s-ratio part of the CKKWL weight of a path.

double History::weightTreeALPHAS( double as0, AlphaStrong * asFSR,
  AlphaStrong * asISR ) {

  // For ME state, do nothing.
  if ( !mother ) return 1.;
  // Recurse
  double w = mother->weightTreeALPHAS( as0, asFSR, asISR );
  // Do nothing for empty state
  if (state.size() < 3) return w;

  // Calculate alpha_s ratio for current state
  if ( asFSR && asISR ) {
    double asScale = pow2( scale );
    if (mergingHooksPtr->unorderedASscalePrescip() == 1)
      asScale = pow2( clusterIn.pT() );
    bool FSR = mother->state[clusterIn.emittor].isFinal();
    double alphaSinPS = (FSR)
                ? (*asFSR).alphaS(asScale)
                : (*asISR).alphaS(asScale + pow2(mergingHooksPtr->pT0ISR()) );
    w *= alphaSinPS / as0;
  }

  // Done
  return w;
}

//--------------------------------------------------------------------------

// Function to return the PDF-ratio part of the CKKWL weight of a path.

double History::weightTreePDFs( double maxscale, double pdfScale ) {

  // Use correct scale
  double newScale = scale;

  // For ME state, just multiply by PDF ratios
  if ( !mother ) {

    double wt = 1.;
    int sideRad = (state[3].pz() > 0) ? 1 :-1;
    int sideRec = (state[4].pz() > 0) ? 1 :-1;

    // Calculate PDF first leg
    if (state[3].colType() != 0) {
      // Find x value and flavour
      double x = 2.*state[3].e() / state[0].e();
      int flav = state[3].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // For initial parton, multiply by PDF ratio
      wt *= getPDFratio(sideRad, false, false, flav, x, scaleNum, flav, x,
              scaleDen);
    }

    // Calculate PDF ratio for second leg
    if (state[4].colType() != 0) {
      // Find x value and flavour
      double x = 2.*state[4].e() / state[0].e();
      int flav = state[4].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // For initial parton, multiply with PDF ratio
      wt *= getPDFratio(sideRec, false, false, flav, x, scaleNum, flav, x,
              scaleDen);
    }

    return wt;
  }

  // Remember new PDF scale n case true sclae should be used for un-ordered
  // splittings.
  double newPDFscale = newScale;
  if ( mergingHooksPtr->unorderedPDFscalePrescip() == 1)
    newPDFscale = clusterIn.pT();

  // Recurse
  double w = mother->weightTreePDFs( newScale, newPDFscale );

  // Do nothing for empty state
  if (state.size() < 3) return w;

  // Calculate pdf ratios: Get both sides of event
  int inP = 3;
  int inM = 4;
  int sideP = (mother->state[inP].pz() > 0) ? 1 :-1;
  int sideM = (mother->state[inM].pz() > 0) ? 1 :-1;

  if ( mother->state[inP].colType() != 0 ) {
    // Find x value and flavour
    double x = getCurrentX(sideP);
    int flav = getCurrentFlav(sideP);
    // Find numerator scale
    double scaleNum = (children.empty())
                    ? hardFacScale(state)
                    : ( (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                      ? pdfScale : maxscale );
    double scaleDen = (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                    ? clusterIn.pT() : newScale;
    // Multiply PDF ratio
    double ratio = getPDFratio(sideP, false, false, flav, x, scaleNum,
                     flav, x, scaleDen);
    w *= ratio;
  }

  if ( mother->state[inM].colType() != 0 ) {
    // Find x value and flavour
    double x = getCurrentX(sideM);
    int flav = getCurrentFlav(sideM);
    // Find numerator scale
    double scaleNum = (children.empty())
                    ? hardFacScale(state)
                    : ( (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                      ? pdfScale : maxscale );
    double scaleDen = (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                    ? clusterIn.pT() : newScale;
    // Multiply PDF ratio
    double ratio = getPDFratio(sideM, false, false, flav, x, scaleNum,
                     flav, x, scaleDen);
    w *= ratio;
  }

  // Done
  return w;
}

//--------------------------------------------------------------------------

// Function to return the no-emission probability part of the CKKWL weight.

double History::weightTreeEmissions( PartonLevel* trial, int type,
  int njetMax, double maxscale ) {

  // Use correct scale
  double newScale = scale;
  // For ME state, just multiply by PDF ratios
  if ( !mother ) return 1.0;
  // Recurse
  double w = mother->weightTreeEmissions( trial, type, njetMax, newScale );
  // Do nothing for empty state
  if (state.size() < 3) return 1.0;
  // If up to now, trial shower was not successful, return zero
  if ( w < 1e-12 ) return 0.0;
  // If this node has too many jets, no not calculate no-emission probability.
  int njetNow = mergingHooksPtr->getNumberOfClusteringSteps( state) ;
  if (njetNow >= njetMax) return 1.0;
  // Do trial shower on current state, return zero if not successful
  w *= doTrialShower(trial, type, maxscale);
  if ( w < 1e-12 ) return 0.0;
  // Done
  return w;

}

//--------------------------------------------------------------------------

// Function to generate the O(\alpha_s)-term of the CKKWL-weight.

double History::weightFirst(PartonLevel* trial, double as0, double muR,
  double maxscale, AlphaStrong * asFSR, AlphaStrong * asISR, Rndm* rndmPtr ) {

  // Use correct scale
  double newScale = scale;

  if ( !mother ) {

    double weight = 0.;

    // Calculate PDF first leg
    if (state[3].colType() != 0) {
      // Find x value and flavour
      double x = 2.*state[3].e() / state[0].e();
      int flav = state[3].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // Monte Carlo integrand.
      double intPDF4 = monteCarloPDFratios(flav, x, scaleNum, scaleDen,
                         mergingHooksPtr->muFinME(), as0, rndmPtr);
      weight += intPDF4;
    }

    // Calculate PDF ratio for second leg
    if (state[4].colType() != 0) {
      // Find x value and flavour
      double x = 2.*state[4].e() / state[0].e();
      int flav = state[4].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // Monte Carlo integrand.
      double intPDF4 = monteCarloPDFratios(flav, x, scaleNum, scaleDen,
                         mergingHooksPtr->muFinME(), as0, rndmPtr);
      weight += intPDF4;
    }

    return weight;
  }

  // Recurse
  double w = mother->weightFirst(trial, as0, muR, newScale, asFSR, asISR,
               rndmPtr );

  // Do nothing for empty state
  if (state.size() < 3) return 0.0;

  // Find right scale
  double b = 1.;
  double asScale2 = newScale*newScale;
  int showerType = (mother->state[clusterIn.emittor].isFinal() ) ? 1 : -1;
  if (showerType == -1) {
    asScale2 += pow(mergingHooksPtr->pT0ISR(),2);
    b = 1.;
  }
  // Find summand beta_0 / 2 * ln(muR^2/t_i) due to as expansion.
  double NF = 4.;
  double BETA0 = 11. - 2./3.* NF;
  // For fixed \alpha_s in matrix element
  w += as0 / (2.*M_PI) * 0.5 * BETA0 * log( (muR*muR) / (b*asScale2) );

  // Count emissions: New variant
  // Generate true average, not only one-point.
  bool fixpdf = true;
  bool fixas  = true;
  double nWeight1 = 0.;
  double nWeight2 = 0.;

  for(int i=0; i < NTRIAL; ++i) {
    // Get number of emissions
    vector unresolvedEmissionTerm = countEmissions(trial, maxscale,
      newScale, 2, as0, asFSR, asISR, 3, fixpdf, fixas);
    nWeight1 += unresolvedEmissionTerm[1];
  }
  w += nWeight1/double(NTRIAL) + nWeight2/double(NTRIAL);

  // Calculate pdf ratios: Get both sides of event
  int inP = 3;
  int inM = 4;
  int sideP = (mother->state[inP].pz() > 0) ? 1 :-1;
  int sideM = (mother->state[inM].pz() > 0) ? 1 :-1;

  if ( mother->state[inP].colType() != 0 ) {
    // Find x value and flavour
    double x = getCurrentX(sideP);
    int flav = getCurrentFlav(sideP);
    // Find numerator scale
    double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
    // Monte Carlo integrand.
    double intPDF4 = monteCarloPDFratios(flav, x, scaleNum, newScale,
                       mergingHooksPtr->muFinME(), as0, rndmPtr);
    w += intPDF4;

  }

  if ( mother->state[inM].colType() != 0 ) {
    // Find x value and flavour
    double x = getCurrentX(sideM);
    int flav = getCurrentFlav(sideM);
    // Find numerator scale
    double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
    // Monte Carlo integrand.
    double intPDF4 = monteCarloPDFratios(flav, x, scaleNum, newScale,
                       mergingHooksPtr->muFinME(), as0, rndmPtr);
    w += intPDF4;

  }

  // Done
  return w;

}

//--------------------------------------------------------------------------

// Function to generate the O(\alpha_s)-term of the \alpha_s-ratios
// appearing in the CKKWL-weight.

double History::weightFirstALPHAS( double as0, double muR,
  AlphaStrong * asFSR, AlphaStrong * asISR ) {

  // Use correct scale
  double newScale = scale;
  // Done
  if ( !mother ) return 0.;
  // Recurse
  double w = mother->weightFirstALPHAS( as0, muR, asFSR, asISR );
  // Find right scale
  int showerType = (mother->state[clusterIn.emittor].isFinal() ) ? 1 : -1;
  double b = 1.;
  double asScale = pow2( newScale );
  if ( mergingHooksPtr->unorderedASscalePrescip() == 1 )
    asScale = pow2( clusterIn.pT() );
  if (showerType == -1) {
    asScale += pow2( mergingHooksPtr->pT0ISR() );
    b = 1.;
  }
  // Find summand beta_0 / 2 * ln(muR^2/t_i) due to as expansion.
  double NF = 4.;
  double BETA0 = 11. - 2./3.* NF;
  // For fixed \alpha_s in matrix element
  w += as0 / (2.*M_PI) * 0.5 * BETA0 * log( (muR*muR) / (b*asScale) );
  // Done
  return w;

}

//--------------------------------------------------------------------------

// Function to generate the O(\alpha_s)-term of the PDF-ratios
// appearing in the CKKWL-weight.

double History::weightFirstPDFs( double as0, double maxscale, double pdfScale,
  Rndm* rndmPtr ) {

  // Use correct scale
  double newScale = scale;

  if ( !mother ) {

    double wt = 0.;

    // Calculate PDF first leg
    if (state[3].colType() != 0) {
      // Find x value and flavour
      double x        = 2.*state[3].e() / state[0].e();
      int flav        = state[3].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // Monte Carlo integrand.
      wt += monteCarloPDFratios(flav, x, scaleNum, scaleDen,
                          mergingHooksPtr->muFinME(), as0, rndmPtr);
    }
    // Calculate PDF ratio for second leg
    if (state[4].colType() != 0) {
      // Find x value and flavour
      double x        = 2.*state[4].e() / state[0].e();
      int flav        = state[4].id();
      // Find numerator/denominator scale
      double scaleNum = (children.empty()) ? hardFacScale(state) : maxscale;
      double scaleDen = mergingHooksPtr->muFinME();
      // Monte Carlo integrand.
      wt += monteCarloPDFratios(flav, x, scaleNum, scaleDen,
                         mergingHooksPtr->muFinME(), as0, rndmPtr);
    }

    // Done
    return wt;
  }

  // Remember new PDF scale n case true sclae should be used for un-ordered
  // splittings.
  double newPDFscale = newScale;
  if (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
    newPDFscale      = clusterIn.pT();

  // Recurse
  double w = mother->weightFirstPDFs( as0, newScale, newPDFscale, rndmPtr);

  // Calculate pdf ratios: Get both sides of event
  int inP   = 3;
  int inM   = 4;
  int sideP = (mother->state[inP].pz() > 0) ? 1 :-1;
  int sideM = (mother->state[inM].pz() > 0) ? 1 :-1;

  if ( mother->state[inP].colType() != 0 ) {
    // Find x value and flavour
    double x        = getCurrentX(sideP);
    int flav        = getCurrentFlav(sideP);
    // Find numerator / denominator scales
    double scaleNum = (children.empty())
                    ? hardFacScale(state)
                    : ( (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                      ? pdfScale : maxscale );
    double scaleDen = (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                    ? clusterIn.pT() : newScale;
    // Monte Carlo integrand.
    w += monteCarloPDFratios(flav, x, scaleNum, scaleDen,
                        mergingHooksPtr->muFinME(), as0, rndmPtr);
  }

  if ( mother->state[inM].colType() != 0 ) {
    // Find x value and flavour
    double x        = getCurrentX(sideM);
    int flav        = getCurrentFlav(sideM);
    // Find numerator / denominator scales
    double scaleNum = (children.empty())
                    ? hardFacScale(state)
                    : ( (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                      ? pdfScale : maxscale );
    double scaleDen = (mergingHooksPtr->unorderedPDFscalePrescip() == 1)
                    ? clusterIn.pT() : newScale;
    // Monte Carlo integrand.
    w += monteCarloPDFratios(flav, x, scaleNum, scaleDen,
                        mergingHooksPtr->muFinME(), as0, rndmPtr);
  }

  // Done
  return w;

}


//--------------------------------------------------------------------------

// Function to generate the O(\alpha_s)-term of the no-emission
// probabilities appearing in the CKKWL-weight.

double History::weightFirstEmissions(PartonLevel* trial, double as0,
  double maxscale, AlphaStrong * asFSR, AlphaStrong * asISR,
  bool fixpdf, bool fixas ) {

  // Use correct scale
  double newScale = scale;
  if ( !mother ) return 0.0;
  // Recurse
  double w = mother->weightFirstEmissions(trial, as0, newScale, asFSR, asISR,
                                          fixpdf, fixas );
  // Do nothing for empty state
  if (state.size() < 3) return 0.0;
  // Generate true average.
  double nWeight1 = 0.;
  double nWeight2 = 0.;
  for(int i=0; i < NTRIAL; ++i) {
    // Get number of emissions
    vector unresolvedEmissionTerm = countEmissions(trial, maxscale,
      newScale, 2, as0, asFSR, asISR, 3, fixpdf, fixas);
    nWeight1 += unresolvedEmissionTerm[1];
  }

  w += nWeight1/double(NTRIAL) + nWeight2/double(NTRIAL);

  // Done
  return w;

}

//--------------------------------------------------------------------------

// Function to return the factorisation scale of the hard process in Pythia.

double History::hardFacScale(const Event& event) {
  // Declare output scale.
  double hardscale = 0.;
  // If scale should not be reset, done.
  if ( !mergingHooksPtr->resetHardQFac() ) return mergingHooksPtr->muF();
  // For pure QCD dijet events, calculate the hadronic cross section
  // of the hard process at the pT of the dijet system, rather than at fixed
  // arbitrary scale.
  if ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
    || mergingHooksPtr->getProcessString().compare("pp>aj") == 0 ) {
    // Find the mT in the hard sub-process.
    vector  mT;
    for ( int i=0; i < event.size(); ++i)
      if ( event[i].isFinal() && event[i].colType() != 0 )
        mT.push_back( abs(event[i].mT2()) );
    if ( int(mT.size()) != 2 )
      hardscale = infoPtr->QFac();
    else
      hardscale = sqrt( min( mT[0], mT[1] ) );
  } else {
    hardscale = infoPtr->QFac();
  }
  // Done
  return hardscale;
}

//--------------------------------------------------------------------------

// Function to return the factorisation scale of the hard process in Pythia.

double History::hardRenScale(const Event& event) {
  // Declare output scale.
  double hardscale = 0.;
  // If scale should not be reset, done.
  if ( !mergingHooksPtr->resetHardQRen() ) return mergingHooksPtr->muR();
  // For pure QCD dijet events, calculate the hadronic cross section
  // of the hard process at the pT of the dijet system, rather than at fixed
  // arbitrary scale.
  if ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
    || mergingHooksPtr->getProcessString().compare("pp>aj") == 0 ) {
    // Find the mT in the hard sub-process.
    vector  mT;
    for ( int i=0; i < event.size(); ++i)
      if ( event[i].isFinal()
        && ( event[i].colType() != 0 || event[i].id() == 22 ) )
        mT.push_back( abs(event[i].mT()) );
    if ( int(mT.size()) != 2 )
      hardscale = infoPtr->QRen();
    else
      hardscale = sqrt( mT[0]*mT[1] );
  } else {
    hardscale = infoPtr->QRen();
  }
  // Done
  return hardscale;
}

//--------------------------------------------------------------------------

// Perform a trial shower using the \a pythia object between
// maxscale down to this scale and return the corresponding Sudakov
// form factor.
// IN  trialShower : Shower object used as trial shower
//     double     : Maximum scale for trial shower branching
// OUT  0.0       : trial shower emission outside allowed pT range
//      1.0       : trial shower successful (any emission was below
//                  the minimal scale )

double History::doTrialShower( PartonLevel* trial, int type,
  double maxscaleIn, double minscaleIn ) {

  // Copy state to local process
  Event process        = state;
  // Set starting scale.
  double startingScale = maxscaleIn;
  // Careful when setting shower starting scale for pure QCD and prompt
  // photon case.
  if ( mergingHooksPtr->getNumberOfClusteringSteps(process) == 0
    && ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
      || mergingHooksPtr->getProcessString().compare("pp>aj") == 0 ) )
      startingScale = min( startingScale, hardFacScale(process) );

  // Set output.
  bool doVeto          = false;

  while ( true ) {

    // Reset trialShower object
    trial->resetTrial();
    // Construct event to be showered
    Event event = Event();
    event.init("(hard process-modified)", particleDataPtr);
    event.clear();

    // Reset process scale so that shower starting scale is correctly set.
    process.scale(startingScale);
    doVeto = false;

    // Get pT before reclustering
    double minScale = (minscaleIn > 0.) ? minscaleIn : scale;

    // If the maximal scale and the minimal scale coincide (as would
    // be the case for the corrected scales of unordered histories),
    // do not generate Sudakov
    if (minScale >= startingScale) break;

    // Find z and pT values at which the current state was formed, to
    // ensure that the showers can order the next emission correctly in
    // rapidity, if required.
    // NOT CORRECTLY SET FOR HIGHEST MULTIPLICITY STATE!
    double z = ( mergingHooksPtr->getNumberOfClusteringSteps(state) == 0
               || !mother )
             ? 0.5
             : mother->getCurrentZ(clusterIn.emittor,clusterIn.recoiler,
                 clusterIn.emitted);
    // Store z and pT values at which the current state was formed
    infoPtr->zNowISR(z);
    infoPtr->pT2NowISR(pow(startingScale,2));
    infoPtr->hasHistory(true);

    // Perform trial shower emission
    trial->next(process,event);
    // Get trial shower pT.
    double pTtrial   = trial->pTLastInShower();
    int typeTrial    = trial->typeLastInShower();

    // Clear parton systems.
    trial->resetTrial();

    // Get veto (merging) scale value
    double vetoScale  = (mother) ? 0. : mergingHooksPtr->tms();
    // Get merging scale in current event
    double tnow = mergingHooksPtr->tmsNow( event );

    // Done if evolution scale has fallen below minimum
    if ( pTtrial < minScale ) break;
    // Reset starting scale.
    startingScale = pTtrial;

    // Continue if this state is below the veto scale
    if ( tnow < vetoScale && vetoScale > 0. ) continue;

    // Retry if the trial emission was not allowed.
    if ( mergingHooksPtr->canVetoTrialEmission()
      && mergingHooksPtr->doVetoTrialEmission( process, event) ) continue;

    // Only consider allowed emissions for veto:
    // Only allow MPI for MPI no-emission probability.
    if ( type == -1 && typeTrial != 1 ) continue;
    // Only allow ISR or FSR for radiative no-emission probability.
    if ( type ==  1 && !(typeTrial == 2 || typeTrial >= 3) ) continue;

    // Veto event if trial pT was above the next nodal scale.
    if ( pTtrial > minScale ) doVeto = true;

    //// For last no-emission probability, veto event if the trial state
    //// is above the merging scale, i.e. in the matrix element region.
    //if ( !mother && tnow > vetoScale && vetoScale > 0. ) doVeto = true;

    // For 2 -> 2 pure QCD state, do not allow multiparton interactions
    // above the kinematical pT of the 2 -> 2 state.
    if ( type == -1
      && typeTrial == 1
      && mergingHooksPtr->getNumberOfClusteringSteps(process) == 0
      && ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
        || mergingHooksPtr->getProcessString().compare("pp>aj") == 0 )
      && pTtrial > hardFacScale(process) )
      return 0.0;

    // If pT of trial emission was in suitable range (trial shower
    // successful), return false
    if ( pTtrial < minScale ) doVeto = false;

    // Done
    break;

  }

  // Done
  return ( (doVeto) ? 0. : 1. );
}

//--------------------------------------------------------------------------

// Assume we have a vector of i elements containing indices into
// another vector with N elements. Update the indices so that all
// unique combinations (starting from 0,1,2,3, ...) are
// covered. Return false when all combinations have been ehausted.

bool History::updateind(vector & ind, int i, int N) {
  if ( i < 0 ) return false;
  if ( ++ind[i] < N ) return true;
  if ( !updateind(ind, i - 1, N - 1) ) return false;
  ind[i] = ind[i - 1] + 1;
  return true;
}

//--------------------------------------------------------------------------

// Return the expansion of the no-emission probability up to the Nth
// term. Optionally calculate the the terms using fixed alphaS
// and/or PDF ratios.
  
vector
History::countEmissions(PartonLevel* trial, double maxscale,
                        double minscale, int showerType, double as0,
                        AlphaStrong * asFSR, AlphaStrong * asISR, int N = 1,
                        bool fixpdf = true, bool fixas = true) {

  if ( N < 0 ) return vector();
  vector result(N+1);
  result[0] = 1.0;
  if ( N < 1 ) return result;
    
  // Copy state to local process
  Event process = state;

  double startingScale   = maxscale;
  // Careful when setting shower starting scale for pure QCD and prompt
  // photon case.
  if ( mergingHooksPtr->getNumberOfClusteringSteps(process) == 0
    && ( mergingHooksPtr->getProcessString().compare("pp>jj") == 0
      || mergingHooksPtr->getProcessString().compare("pp>aj") == 0 ) )
      startingScale = min( startingScale, hardFacScale(process) );

  vector wts;

  while ( true ) {
    // Reset trialShower object
    trial->resetTrial();
    // Construct event to be showered
    Event event = Event();
    event.init("(hard process-modified)", particleDataPtr);
    event.clear();

    // Reset process scale
    process.scale(startingScale);

    // If the maximal scale and the minimal scale coincide (as would
    // be the case for the corrected scales of unordered histories),
    // do not generate Sudakov
    if (minscale >= startingScale) return result;

    // Find z and pT values at which the current state was formed, to
    // ensure that the showers can order the next emission correctly in
    // rapidity, if required
    if ( mother ) {
      double z = ( mergingHooksPtr->getNumberOfClusteringSteps(state) == 0)
               ? 0.5
               : mother->getCurrentZ(clusterIn.emittor,clusterIn.recoiler,
                   clusterIn.emitted);
      // Store z and pT values at which the current state was formed
      infoPtr->zNowISR(z);
      infoPtr->pT2NowISR(pow(startingScale,2));
      infoPtr->hasHistory(true);
    }

    // Perform trial shower emission
    trial->next(process,event);

    // Get trial shower pT
    double pTtrial = trial->pTLastInShower();
    int typeTrial  = trial->typeLastInShower();

    // Clear parton systems.
    trial->resetTrial();

    // Get veto (merging) scale value
    double vetoScale  = (mother) ? 0. : mergingHooksPtr->tms();
    // Get merging scale in current event
    double tnow = mergingHooksPtr->tmsNow( event );

    // Save scale of current state.
    startingScale   = pTtrial;
    // If the scale of the current state is below the minimal scale, exit.
    if ( pTtrial < minscale ) break;
    // If this state is below the merging scale, do not count emission.
    if ( tnow < vetoScale && vetoScale > 0. ) continue;
    // Retry if the trial emission was not allowed.
    if ( mergingHooksPtr->canVetoTrialEmission()
      && mergingHooksPtr->doVetoTrialEmission( process, event) ) continue;

    // Check if a new emission should be generated, either because
    // the latest emission was not of the desired kind or if the
    // emission was above the minimal scale
    double alphaSinPS = as0;
    double pdfs = 1.0;
    // Initial state splittings.
    if ( (showerType == -1 || showerType == 2) && typeTrial == 2 ) {
      // Get weight to translate to alpha_s at fixed renormalisation scale.
      if ( fixas ) alphaSinPS = (*asISR).alphaS(pTtrial*pTtrial);
      // Get weight to translate to PDFs at fixed factorisation scale.
      if ( fixpdf )
        pdfs = pdfFactor( event, typeTrial, pTtrial,
                          mergingHooksPtr->muFinME() );
    // Final state splittings.
    } else if ( (showerType == 1 || showerType == 2) && typeTrial >= 3 ) {
      // Get weight to translate to alpha_s at fixed renormalisation scale.
      if ( fixas ) alphaSinPS = (*asFSR).alphaS(pTtrial*pTtrial);
      // Get weight to translate to PDFs at fixed factorisation scale. Needed
      // for final state splittings with initial state recoiler.
      if ( fixpdf )
        pdfs = pdfFactor( event, typeTrial, pTtrial,
                          mergingHooksPtr->muFinME() );
    }

    // Save weight correcting to emission generated with fixed scales.
    if ( typeTrial == 2 || typeTrial >= 3 )
      wts.push_back(as0/alphaSinPS*pdfs);

  }

  for ( int n = 1; n <= min(N, int(wts.size())); ++n ) {
    vector ind(N);
    for ( int i = 0; i < N; ++i ) ind[i] = i;
    do {
      double x = 1.0;
      for ( int j = 0; j < n; ++j ) x *= wts[ind[j]];
      result[n] += x;
    }  while ( updateind(ind, n - 1, wts.size()) );
    if ( n%2 ) result[n] *= -1.0;
  }

  // Done
  return result;
}

//--------------------------------------------------------------------------

// Function to integrate PDF ratios between two scales over x and t,
// where the PDFs are always evaluated at the lower t-integration limit

double History::monteCarloPDFratios(int flav, double x, double maxScale,
         double minScale, double pdfScale, double asME, Rndm* rndmPtr) {

  // Perform numerical integration for PDF ratios
  // Prefactor is as/2PI
  double factor = asME / (2.*M_PI);
  // Scale integration just produces a multiplicative logarithm
  factor *= log(maxScale/minScale);

  // For identical scales, done
  if (factor == 0.) return 0.;

  // Declare constants
  double CF = 4./3.;
  double CA = 3.;
  double NF = 4.;
  double TR = 1./2.;

  double integral = 0.;
  double RN = rndmPtr->flat();

  if (flav == 21) {
    double zTrial = pow(x,RN);
    integral  = -log(x) * zTrial *
                integrand(flav, x, pdfScale, zTrial);
    integral += 1./6.*(11.*CA - 4.*NF*TR)
              + 2.*CA*log(1.-x);
  } else {
    double zTrial = x + RN*(1. - x);
    integral  = (1.-x) *
                integrand(flav, x, pdfScale, zTrial);
    integral += 3./2.*CF
              + 2.*CF*log(1.-x);
  }

  // Done
  return (factor*integral);
}

/*--------------- METHODS USED FOR CONTRUCTION OF ALL HISTORIES --------- */

// Check if a ordered (and complete) path has been found in the
// initial node, in which case we will no longer be interested in
// any unordered paths.

bool History::onlyOrderedPaths() {
  if ( !mother || foundOrderedPath ) return foundOrderedPath;
  return  foundOrderedPath = mother->onlyOrderedPaths();
}

//--------------------------------------------------------------------------

// Check if a STRONGLY ordered (and complete) path has been found in the
// initial node, in which case we will no longer be interested in
// any unordered paths.

bool History::onlyStronglyOrderedPaths() {
  if ( !mother || foundStronglyOrderedPath ) return foundStronglyOrderedPath;
  return  foundStronglyOrderedPath = mother->onlyStronglyOrderedPaths();
}

//--------------------------------------------------------------------------

// Check if an allowed (according to user-criterion) path has been found in
// the initial node, in which case we will no longer be interested in
// any forbidden paths.

bool History::onlyAllowedPaths() {
  if ( !mother || foundAllowedPath ) return foundAllowedPath;
  return foundAllowedPath = mother->onlyAllowedPaths();
}

//--------------------------------------------------------------------------

// When a full path has been found, register it with the initial
// history node.
// IN  History : History to be registered as path
//     bool    : Specifying if clusterings so far were ordered
//     bool    : Specifying if path is complete down to 2->2 process
// OUT true if History object forms a plausible path (eg prob>0 ...)

bool History::registerPath(History & l, bool isOrdered,
       bool isStronglyOrdered, bool isAllowed, bool isComplete) {

  // We are not interested in improbable paths.
  if ( l.prob <= 0.0)
    return false;
  // We only register paths in the initial node.
  if ( mother ) return mother->registerPath(l, isOrdered,
                         isStronglyOrdered, isAllowed, isComplete);

  // Again, we are not interested in improbable paths.
  if ( sumpath == sumpath + l.prob )
    return false;
  if ( mergingHooksPtr->canCutOnRecState()
    && foundAllowedPath && !isAllowed )
    return false;
  if ( mergingHooksPtr->enforceStrongOrdering()
    && foundStronglyOrderedPath && !isStronglyOrdered )
    return false;
  if ( mergingHooksPtr->orderHistories()
    && foundOrderedPath && !isOrdered ) {
    // Prefer complete or allowed paths to ordered paths.
    if ( (!foundCompletePath && isComplete)
      || (!foundAllowedPath && isAllowed) ) ;
    else return false;
  }

  if ( foundCompletePath && !isComplete )
    return false;
  if ( !mergingHooksPtr->canCutOnRecState()
    && !mergingHooksPtr->allowCutOnRecState() )
    foundAllowedPath = true;

  if ( mergingHooksPtr->canCutOnRecState() && isAllowed && isComplete) {
    if ( !foundAllowedPath || !foundCompletePath ) {
      // If this is the first complete, allowed path, discard the
      // old, disallowed or incomplete ones.
      paths.clear();
      sumpath = 0.0;
    }
    foundAllowedPath = true;

  }

  if ( mergingHooksPtr->enforceStrongOrdering() && isStronglyOrdered
     && isComplete ) {
    if ( !foundStronglyOrderedPath || !foundCompletePath ) {
      // If this is the first complete, ordered path, discard the
      // old, non-ordered or incomplete ones.
      paths.clear();
      sumpath = 0.0;
    }
    foundStronglyOrderedPath = true;
    foundCompletePath = true;

  }

  if ( mergingHooksPtr->orderHistories() && isOrdered && isComplete ) {
    if ( !foundOrderedPath || !foundCompletePath ) {
      // If this is the first complete, ordered path, discard the
      // old, non-ordered or incomplete ones.
      paths.clear();
      sumpath = 0.0;
    }
    foundOrderedPath = true;
    foundCompletePath = true;

  }

  if ( isComplete ) {
    if ( !foundCompletePath ) {
      // If this is the first complete path, discard the old,
      // incomplete ones.
      paths.clear();
      sumpath = 0.0;
    }
    foundCompletePath = true;
  }

  // Remember, if this path is ordered, even if no ordering is required
  if ( isOrdered ) {
    foundOrderedPath = true;
  }

  // Index path by probability
  sumpath += l.prob;
  paths[sumpath] = &l;

  return true;
}

//--------------------------------------------------------------------------

// For the history-defining state (and if necessary interfering
// states), find all possible clusterings.
// NO INPUT
// OUT vector of all (rad,rec,emt) systems

vector History::getAllQCDClusterings() {
  vector ret;
  // Initialise vectors to keep track of position of partons in the
  // history-defining state
  vector  PosFinalPartn;
  vector  PosInitPartn;
  vector  PosFinalGluon;
  vector  PosFinalQuark;
  vector  PosFinalAntiq;
  vector  PosInitGluon;
  vector  PosInitQuark;
  vector  PosInitAntiq;

  // Search event record for final state particles and store these in
  // quark, anti-quark and gluon vectors
  for ( int i=0; i < state.size(); ++i )
    if ( state[i].isFinal() && state[i].colType() !=0 ) {
      // Store final partons
      if ( state[i].id() == 21 ) PosFinalGluon.push_back(i);
      else if ( state[i].idAbs() < 10 && state[i].id() > 0)
        PosFinalQuark.push_back(i);
      else if ( state[i].idAbs() < 10 && state[i].id() < 0)
        PosFinalAntiq.push_back(i);
    } else if (state[i].status() == -21 && state[i].colType() != 0 ) {
      // Store initial partons
      if ( state[i].id() == 21 ) PosInitGluon.push_back(i);
      else if ( state[i].idAbs() < 10 && state[i].id() > 0)
        PosInitQuark.push_back(i);
      else if ( state[i].idAbs() < 10 && state[i].id() < 0)
        PosInitAntiq.push_back(i);
    }

  // Get all clusterings for input state
  vector systems;
  systems = getQCDClusterings(state);
  ret.insert(ret.end(), systems.begin(), systems.end());
  systems.resize(0);

  // If valid clusterings were found, return
  if ( !ret.empty() ) return ret;
  // If no clusterings have been found until now, try to find
  // clusterings of diagrams that interfere with the current one
  // (i.e. change the colours of the current event slightly and run
  //  search again)
  else if ( ret.empty()
        && mergingHooksPtr->allowColourShuffling() ) {
    Event NewState = Event(state);
    // Start with changing final state quark colour
    for(int i = 0; i < int(PosFinalQuark.size()); ++i) {
      // Never change the hard process candidates
      if ( mergingHooksPtr->hardProcess.matchesAnyOutgoing(PosFinalQuark[i],
       NewState) )
        continue;
      int col = NewState[PosFinalQuark[i]].col();
      for(int j = 0; j < int(PosInitAntiq.size()); ++j) {
        // Now swap colours
        int acl = NewState[PosInitAntiq[j]].acol();
        if ( col == acl ) continue;
        NewState[PosFinalQuark[i]].col(acl);
        NewState[PosInitAntiq[j]].acol(col);
        systems = getQCDClusterings(NewState);
        if (!systems.empty()) {
          state = NewState;
          NewState.clear();
          ret.insert(ret.end(), systems.begin(), systems.end());
          systems.resize(0);
          return ret;
        }
      }
    }
    // Now change final state antiquark anticolour
    for(int i = 0; i < int(PosFinalAntiq.size()); ++i) {
      // Never change the hard process candidates
      if ( mergingHooksPtr->hardProcess.matchesAnyOutgoing(PosFinalAntiq[i],
       NewState) )
        continue;
      int acl = NewState[PosFinalAntiq[i]].acol();
      for(int j = 0; j < int(PosInitQuark.size()); ++j) {
        // Now swap colours
        int col = NewState[PosInitQuark[j]].col();
        if ( col == acl ) continue;
        NewState[PosFinalAntiq[i]].acol(col);
        NewState[PosInitQuark[j]].col(acl);
        systems = getQCDClusterings(NewState);
        if (!systems.empty()) {
          state = NewState;
          NewState.clear();
          ret.insert(ret.end(), systems.begin(), systems.end());
          systems.resize(0);
          return ret;
        }
      }
    }

    if ( !ret.empty() ) {
      string message="Warning in History::getAllQCDClusterings: Changed";
      message+=" colour structure to allow at least one clustering.";
      infoPtr->errorMsg(message);
    }

  }

  // Done
  return ret;
}

//--------------------------------------------------------------------------

// For one given state, find all possible clusterings.
// IN  Event : state to be investigated
// OUT vector of all (rad,rec,emt) systems in the state

vector History::getQCDClusterings( const Event& event) {
  vector ret;

  // Initialise vectors to keep track of position of partons in the
  // input event
  vector  PosFinalPartn;
  vector  PosInitPartn;

  vector  PosFinalGluon;
  vector  PosFinalQuark;
  vector  PosFinalAntiq;
  vector  PosInitGluon;
  vector  PosInitQuark;
  vector  PosInitAntiq;

  // Search event record for final state particles and store these in
  // quark, anti-quark and gluon vectors
  for (int i=0; i < event.size(); ++i)
    if ( event[i].isFinal() && event[i].colType() !=0 ) {
      // Store final partons
      PosFinalPartn.push_back(i);
      if ( event[i].id() == 21 ) PosFinalGluon.push_back(i);
      else if ( event[i].idAbs() < 10 && event[i].id() > 0)
        PosFinalQuark.push_back(i);
      else if ( event[i].idAbs() < 10 && event[i].id() < 0)
        PosFinalAntiq.push_back(i);
    } else if ( event[i].status() == -21 && event[i].colType() != 0 ) {
      // Store initial partons
      PosInitPartn.push_back(i);
      if ( event[i].id() == 21 ) PosInitGluon.push_back(i);
      else if ( event[i].idAbs() < 10 && event[i].id() > 0)
        PosInitQuark.push_back(i);
      else if ( event[i].idAbs() < 10 && event[i].id() < 0)
        PosInitAntiq.push_back(i);
    }

  int nFiGluon = int(PosFinalGluon.size());
  int nFiQuark = int(PosFinalQuark.size());
  int nFiAntiq = int(PosFinalAntiq.size());
  int nInGluon = int(PosInitGluon.size());
  int nInQuark = int(PosInitQuark.size());
  int nInAntiq = int(PosInitAntiq.size());

  vector systems;

  // Find rad + emt + rec systems:
  // (1) Start from gluon and find all (rad,rec,emt=gluon) triples
  for (int i = 0; i < nFiGluon; ++i) {
    int EmtGluon = PosFinalGluon[i];
    systems = findQCDTriple( EmtGluon, 2, event, PosFinalPartn, PosInitPartn);
    ret.insert(ret.end(), systems.begin(), systems.end());
    systems.resize(0);
  }

  // For more than one quark-antiquark pair in final state, check for
  // g -> qqbar splittings
  bool check_g2qq = true;
  if ( ( ( nInQuark + nInAntiq == 0 )
          && (nInGluon == 0)
          && (nFiQuark == 1) && (nFiAntiq == 1) )
    || ( ( nFiQuark + nFiAntiq == 0)
          && (nInQuark == 1) && (nInAntiq == 1) ) )
    check_g2qq = false;

  if ( check_g2qq ) {

    // (2) Start from quark and find all (rad,rec,emt=quark) triples
    //     ( when g -> q qbar occured )
    for( int i=0; i < nFiQuark; ++i) {
      int EmtQuark = PosFinalQuark[i];
      systems = findQCDTriple( EmtQuark,1,event, PosFinalPartn, PosInitPartn);
      ret.insert(ret.end(), systems.begin(), systems.end());
      systems.resize(0);
    }

    // (3) Start from anti-quark and find all (rad,rec,emt=anti-quark)
    //     triples ( when g -> q qbar occured )
    for( int i=0; i < nFiAntiq; ++i) {
      int EmtAntiq = PosFinalAntiq[i];
      systems = findQCDTriple( EmtAntiq,1,event, PosFinalPartn, PosInitPartn);
      ret.insert(ret.end(), systems.begin(), systems.end());
      systems.resize(0);
    }
  }

  return ret;
}

//--------------------------------------------------------------------------

// Function to construct (rad,rec,emt) triples from the event
// IN  int   : Position of Emitted in event record for which
//             dipoles should be constructed
//     int   : Colour topogy to be tested
//             1= g -> qqbar, causing 2 -> 2 dipole splitting
//             2= q(bar) -> q(bar) g && g -> gg,
//              causing a 2 -> 3 dipole splitting
//     Event : event record to be checked for ptential partners
// OUT vector of all allowed radiator+recoiler+emitted triples

vector History::findQCDTriple (int EmtTagIn, int colTopIn,
                      const Event& event,
                      vector PosFinalPartn,
                      vector  PosInitPartn ) {

  // Copy input parton tag
  int EmtTag = EmtTagIn;
  // Copy input colour topology tag
  // (1: g --> qqbar splitting present, 2:rest)
  int colTop = colTopIn;
    
  // Initialise FinalSize
  int FinalSize = int(PosFinalPartn.size());
  int InitSize = int(PosInitPartn.size());
  int Size = InitSize + FinalSize;

  vector clus;

  // Search final partons to find partons colour-connected to
  // event[EmtTag], choose radiator, then choose recoiler
  for ( int a = 0; a < Size; ++a ) {
    int i    = (a < FinalSize)? a : (a - FinalSize) ;
    int iRad = (a < FinalSize)? PosFinalPartn[i] : PosInitPartn[i];

    if ( event[iRad].col() == event[EmtTag].col()
      && event[iRad].acol() == event[EmtTag].acol() )
      continue;

    if (iRad != EmtTag ) {
      int pTdef = event[iRad].isFinal() ? 1 : -1;
      int sign = (a < FinalSize)? 1 : -1 ;

      // First colour topology: g --> qqbar. Here, emt & rad should
      // have same flavour (causes problems for gamma->qqbar).
      if (colTop == 1) {

        if ( event[iRad].id() == -sign*event[EmtTag].id() ) {
          int col = -1;
          int acl = -1;
          if (event[iRad].id() < 0) {
            col = event[EmtTag].acol();
            acl = event[iRad].acol();
          } else {
             col = event[EmtTag].col();
             acl = event[iRad].col();
          }
          // Recoiler
          int iRec     = 0;
          // Colour partner
          int iPartner = 0;

          if (col > 0) {
            // Find recoiler by colour
            iRec = FindCol(col,iRad,EmtTag,event,1,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }
            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }

            // Reset partner
            iPartner = 0;
            // Find recoiler by colour
            iRec = FindCol(col,iRad,EmtTag,event,2,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }
            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }
          }


          if (acl > 0) {

            // Reset partner
            iPartner = 0;
            // Find recoiler by colour
            iRec = FindCol(acl,iRad,EmtTag,event,1,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }
            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }

            // Reset partner
            iPartner = 0;
            // Find recoiler by colour
            iRec = FindCol(acl,iRad,EmtTag,event,2,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }
            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }
          }
        // Initial gluon splitting
        } else if ( event[iRad].id() == 21
                  &&(  event[iRad].col() == event[EmtTag].col()
                    || event[iRad].acol() == event[EmtTag].acol() )) {
          // For an initial state radiator, always set recoiler
          // to the other initial state parton (recoil is taken
          // by full remaining system, so this is just a
          // labelling for such a process)
          int RecInit  = 0;
          for(int l = 0; l < int(PosInitPartn.size()); ++l)
            if (PosInitPartn[l] != iRad) RecInit = PosInitPartn[l];

          // Find the colour connected partner
          // Find colour index of radiator before splitting
          int col = getRadBeforeCol(iRad, EmtTag, event);
          int acl = getRadBeforeAcol(iRad, EmtTag, event);

          // Find the correct partner: If a colour line has split,
          // the partner is connected to the radiator before the splitting
          // by a colour line (same reasoning for anticolour). The colour
          // that split is the colour appearing twice in the
          // radiator + emitted pair.
          // Thus, if we remove a colour index with the clustering,
          // we should look for a colour partner, else look for
          // an anticolour partner
          int colRemove = (event[iRad].col() == event[EmtTag].col())
                  ? event[iRad].col() : 0;

          int iPartner = 0;
          if (colRemove > 0 && col > 0)
            iPartner = FindCol(col,iRad,EmtTag,event,1,true)
                     + FindCol(col,iRad,EmtTag,event,2,true);
          else if (colRemove > 0 && acl > 0)
            iPartner = FindCol(acl,iRad,EmtTag,event,1,true)
                     + FindCol(acl,iRad,EmtTag,event,2,true);

          if ( allowedClustering( iRad, EmtTag, RecInit, iPartner, event ) ) {
            clus.push_back( Clustering(EmtTag, iRad, RecInit, iPartner,
                 pTLund(event[iRad],event[EmtTag],event[RecInit], pTdef) ));
              continue;
          }
        }

      // Second colour topology: Gluon emission

      } else {
        if ( (event[iRad].col() == event[EmtTag].acol())
           || (event[iRad].acol() == event[EmtTag].col())
           || (event[iRad].col() == event[EmtTag].col())
           || (event[iRad].acol() == event[EmtTag].acol()) ) {
          // For the rest, choose recoiler to have a common colour
          // tag with radiator, while not being the "Emitted"

          int col = -1;
          int acl = -1;

          if (event[iRad].isFinal() ) {

            if ( event[iRad].id() < 0) {
              acl = event[EmtTag].acol();
              col = event[iRad].col();
            } else if ( event[iRad].id() > 0 && event[iRad].id() < 10) {
              col = event[EmtTag].col();
              acl = event[iRad].acol();
            } else {
              col = event[iRad].col();
              acl = event[iRad].acol();
            }

            int iRec = 0;
            if (col > 0) {
              iRec = FindCol(col,iRad,EmtTag,event,1,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }

              iRec = FindCol(col,iRad,EmtTag,event,2,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }
            }


            if (acl > 0) {
              iRec = FindCol(acl,iRad,EmtTag,event,1,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }

              iRec = FindCol(acl,iRad,EmtTag,event,2,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }
            }

          } else {

            // For an initial state radiator, always set recoiler
            // to the other initial state parton (recoil is taken

            // by full remaining system, so this is just a
            // labelling for such a process)
            int RecInit = 0;
            int iPartner = 0;
            for(int l = 0; l < int(PosInitPartn.size()); ++l)
              if (PosInitPartn[l] != iRad) RecInit = PosInitPartn[l];

            // Find the colour connected partner
            // Find colour index of radiator before splitting
            col = getRadBeforeCol(iRad, EmtTag, event);
            acl = getRadBeforeAcol(iRad, EmtTag, event);

            // Find the correct partner: If a colour line has split,
            // the partner is connected to the radiator before the splitting
            // by a colour line (same reasoning for anticolour). The colour
            // that split is the colour appearing twice in the
            // radiator + emitted pair.
            // Thus, if we remove a colour index with the clustering,
            // we should look for a colour partner, else look for
            // an anticolour partner
            int colRemove = (event[iRad].col() == event[EmtTag].col())
                    ? event[iRad].col() : 0;
            iPartner = (colRemove > 0)
                     ?   FindCol(col,iRad,EmtTag,event,1,true)
                       + FindCol(col,iRad,EmtTag,event,2,true)
                     :   FindCol(acl,iRad,EmtTag,event,1,true)
                       + FindCol(acl,iRad,EmtTag,event,2,true);

            if ( allowedClustering( iRad, EmtTag, RecInit, iPartner, event)) {
              clus.push_back( Clustering(EmtTag, iRad, RecInit, iPartner,
                   pTLund(event[iRad],event[EmtTag],event[RecInit], pTdef)));

              continue;
            }
          }
        }
      }
    }
  }

  // Done
  return clus;
}

//--------------------------------------------------------------------------

// For the history-defining state (and if necessary interfering
// states), find all possible clusterings.
// NO INPUT
// OUT vector of all (rad,rec,emt) systems

vector History::getAllEWClusterings() {
  vector ret;

  // Get all clusterings for input state
  vector systems;
  systems = getEWClusterings(state);
  ret.insert(ret.end(), systems.begin(), systems.end());
  // Done
  return ret;
}

//--------------------------------------------------------------------------

// For one given state, find all possible clusterings.
// IN  Event : state to be investigated
// OUT vector of all (rad,rec,emt) systems in the state

vector History::getEWClusterings( const Event& event) {
  vector ret;

  // Initialise vectors to keep track of position of partons in the
  // input event
  vector  PosFinalPartn;
  vector  PosInitPartn;
  vector  PosFinalW;

  // Search event record for final state particles and store these in
  // quark, anti-quark and gluon vectors
  for ( int i=0; i < event.size(); ++i )
    if ( event[i].isFinal() && abs(event[i].colType()) == 1 ) {
      // Store final partons
      PosFinalPartn.push_back(i);
    } else if ( event[i].status() == -21 && abs(event[i].colType()) == 1 ) {
      // Store initial partons
      PosInitPartn.push_back(i);
    }
  // Search event record for final W
  for ( int i=0; i < event.size(); ++i )
    if ( event[i].isFinal() && event[i].idAbs() == 24 )
      PosFinalW.push_back( i );

  vector systems;
  // Find rad + emt + rec systems:
  // (1) Start from W boson and find all (rad,rec,emt=W) triples
  for ( int i = 0; i <  int(PosFinalW.size()); ++i ) {
    int EmtW = PosFinalW[i];
    systems = findEWTriple( EmtW, event, PosFinalPartn);
    ret.insert(ret.end(), systems.begin(), systems.end());
    systems.resize(0);
  }

  return ret;
}

//--------------------------------------------------------------------------

// Function to construct (rad,rec,emt) triples from the event
// IN  int   : Position of Emitted in event record for which
//             dipoles should be constructed
//     int   : Colour topogy to be tested
//             1= g -> qqbar, causing 2 -> 2 dipole splitting
//             2= q(bar) -> q(bar) g && g -> gg,
//              causing a 2 -> 3 dipole splitting
//     Event : event record to be checked for ptential partners
// OUT vector of all allowed radiator+recoiler+emitted triples

vector History::findEWTriple ( int EmtTagIn, const Event& event,
                      vector PosFinalPartn ) {
  // Copy input parton tag
  int EmtTag = EmtTagIn;
  // Copy input colour topology tag
  // (1: g --> qqbar splitting present, 2:rest)

  // Initialise FinalSize
  int FinalSize = int(PosFinalPartn.size());

  vector clus;

  // Search final partons to find partons colour-connected to
  // event[EmtTag], choose radiator, then choose recoiler
  for ( int a = 0; a < FinalSize; ++a ) {

    int iRad = PosFinalPartn[a];
    if (iRad != EmtTag ) {
      int pTdef = 1;
      // Find recoiler by flavour.
      int flavRad = event[iRad].id();
      int flavEmt = event[EmtTag].id();

      // Loop through final partons and try to find matching flavours.
      for ( int i = 0; i < FinalSize; ++i ) {
        int iRec = PosFinalPartn[i];
        if ( i != a && flavEmt > 0
          && event[iRec].id() == -flavRad - 1 )
          clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
               pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ) );
      }
    }
  }

  // Done
  return clus;
}

//--------------------------------------------------------------------------

// For the history-defining state (and if necessary interfering
// states), find all possible clusterings.
// NO INPUT
// OUT vector of all (rad,rec,emt) systems

vector History::getAllSQCDClusterings() {
  vector ret;

  // Get all clusterings for input state
  vector systems;
  systems = getSQCDClusterings(state);
  ret.insert(ret.end(), systems.begin(), systems.end());
  // Done
  return ret;
}

//--------------------------------------------------------------------------

// For one given state, find all possible clusterings.
// IN  Event : state to be investigated
// OUT vector of all (rad,rec,emt) systems in the state

vector History::getSQCDClusterings( const Event& event) {
  vector ret;

  // Initialise vectors to keep track of position of partons in the
  // input event
  vector  PosFinalPartn;
  vector  PosInitPartn;

  vector  PosFinalGluon;
  vector  PosFinalQuark;
  vector  PosFinalAntiq;
  vector  PosInitGluon;
  vector  PosInitQuark;
  vector  PosInitAntiq;

  // Search event record for final state particles and store these in
  // quark, anti-quark and gluon vectors
  for (int i=0; i < event.size(); ++i)
    if ( event[i].isFinal() && event[i].colType() !=0 ) {
      // Store final partons
      PosFinalPartn.push_back(i);
      if ( event[i].id() == 21 || event[i].id() == 1000021)
        PosFinalGluon.push_back(i);
      else if ( (event[i].idAbs() < 10 && event[i].id() > 0)
             || (event[i].idAbs() < 1000010 && event[i].idAbs() > 1000000
             && event[i].id() > 0)
             || (event[i].idAbs() < 2000010 && event[i].idAbs() > 2000000
             && event[i].id() > 0))
        PosFinalQuark.push_back(i);
      else if ( (event[i].idAbs() < 10 && event[i].id() < 0)
             || (event[i].idAbs() < 1000010 && event[i].idAbs() > 1000000
             && event[i].id() < 0)
             || (event[i].idAbs() < 2000010 && event[i].idAbs() > 2000000
             && event[i].id() < 0))
        PosFinalAntiq.push_back(i);
    } else if ( event[i].status() == -21 && event[i].colType() != 0 ) {
      // Store initial partons
      PosInitPartn.push_back(i);
      if ( event[i].id() == 21 || event[i].id() == 1000021)
        PosInitGluon.push_back(i);
      else if ( (event[i].idAbs() < 10 && event[i].id() > 0)
             || (event[i].idAbs() < 1000010 && event[i].idAbs() > 1000000
             && event[i].id() > 0)
             || (event[i].idAbs() < 2000010 && event[i].idAbs() > 2000000
             && event[i].id() > 0))
        PosInitQuark.push_back(i);
      else if ( (event[i].idAbs() < 10 && event[i].id() < 0)
             || (event[i].idAbs() < 1000010 && event[i].idAbs() > 1000000
             && event[i].id() < 0)
             || (event[i].idAbs() < 2000010 && event[i].idAbs() > 2000000
             && event[i].id() < 0))
        PosInitAntiq.push_back(i);
    }

  int nFiGluon = int(PosFinalGluon.size());
  int nFiQuark = int(PosFinalQuark.size());
  int nFiAntiq = int(PosFinalAntiq.size());
  int nInGluon = int(PosInitGluon.size());
  int nInQuark = int(PosInitQuark.size());
  int nInAntiq = int(PosInitAntiq.size());

  vector systems;

  // Find rad + emt + rec systems:
  // (1) Start from gluon and find all (rad,rec,emt=gluon) triples
  for (int i = 0; i < nFiGluon; ++i) {
    int EmtGluon = PosFinalGluon[i];
    systems = findSQCDTriple( EmtGluon, 2, event, PosFinalPartn, PosInitPartn);
    ret.insert(ret.end(), systems.begin(), systems.end());
    systems.resize(0);
  }

  // For more than one quark-antiquark pair in final state, check for
  // g -> qqbar splittings
  bool check_g2qq = true;
  if ( ( ( nInQuark + nInAntiq == 0 )
          && (nInGluon == 0)
          && (nFiQuark == 1) && (nFiAntiq == 1) )
    || ( ( nFiQuark + nFiAntiq == 0)
          && (nInQuark == 1) && (nInAntiq == 1) ) )
    check_g2qq = false;

  if ( check_g2qq ) {

    // (2) Start from quark and find all (rad,rec,emt=quark) triples
    //     ( when g -> q qbar occured )
    for( int i=0; i < nFiQuark; ++i) {
      int EmtQuark = PosFinalQuark[i];
      systems = findSQCDTriple( EmtQuark,1,event, PosFinalPartn, PosInitPartn);
      ret.insert(ret.end(), systems.begin(), systems.end());
      systems.resize(0);
    }

    // (3) Start from anti-quark and find all (rad,rec,emt=anti-quark)
    //     triples ( when g -> q qbar occured )
    for( int i=0; i < nFiAntiq; ++i) {
      int EmtAntiq = PosFinalAntiq[i];
      systems = findSQCDTriple( EmtAntiq,1,event, PosFinalPartn, PosInitPartn);
      ret.insert(ret.end(), systems.begin(), systems.end());
      systems.resize(0);
    }
  }

  return ret;
}

//--------------------------------------------------------------------------

// Function to construct (rad,rec,emt) triples from the event
// IN  int   : Position of Emitted in event record for which
//             dipoles should be constructed
//     int   : Colour topogy to be tested
//             1= g -> qqbar, causing 2 -> 2 dipole splitting
//             2= q(bar) -> q(bar) g && g -> gg,
//              causing a 2 -> 3 dipole splitting
//     Event : event record to be checked for ptential partners
// OUT vector of all allowed radiator+recoiler+emitted triples

vector History::findSQCDTriple (int EmtTagIn, int colTopIn,
                      const Event& event,
                      vector PosFinalPartn,
                      vector  PosInitPartn ) {

  // Copy input parton tag
  int EmtTag = EmtTagIn;
  // Copy input colour topology tag
  // (1: g --> qqbar splitting present, 2:rest)
  int colTop = colTopIn;

  // PDG numbering offset for squarks
  int offsetL = 1000000;
  int offsetR = 2000000;
    
  // Initialise FinalSize
  int FinalSize = int(PosFinalPartn.size());
  int InitSize = int(PosInitPartn.size());
  int Size = InitSize + FinalSize;

  vector clus;

  // Search final partons to find partons colour-connected to
  // event[EmtTag], choose radiator, then choose recoiler
  for ( int a = 0; a < Size; ++a ) {
    int i    = (a < FinalSize)? a : (a - FinalSize) ;
    int iRad = (a < FinalSize)? PosFinalPartn[i] : PosInitPartn[i];

    if ( event[iRad].col() == event[EmtTag].col()
      && event[iRad].acol() == event[EmtTag].acol() )
      continue;

    // Save radiator flavour.
    int radID = event[iRad].id();
    // Remember if radiator is BSM.
    bool isSQCDrad = (abs(radID) > offsetL);
    // Remember if emitted is BSM.
    bool isSQCDemt = (event[EmtTag].idAbs() > offsetL );

    if (iRad != EmtTag ) {
      int pTdef = event[iRad].isFinal() ? 1 : -1;
      int sign = (a < FinalSize)? 1 : -1 ;

      // Disalllow clusterings resulting in an initial state sQCD parton!
      int radBefID = getRadBeforeFlav(iRad,EmtTag,event);
      if ( pTdef == -1 && abs(radBefID) > offsetL ) continue;

      // First colour topology: g --> qqbar. Here, emt & rad should
      // have same flavour (causes problems for gamma->qqbar).
      if (colTop == 1) {

        int emtSign = (event[EmtTag].id() < 0) ? -1 : 1;

        // Final gluino splitting.
        bool finalSplitting = false;
        if ( abs(radID) < 10
          && radID == -sign*emtSign*(offsetL + event[EmtTag].idAbs()) )
          finalSplitting = true;
        if ( abs(radID) < 10
          && radID == -sign*emtSign*(offsetR + event[EmtTag].idAbs()) )
          finalSplitting = true;
        if ( abs(radID) > offsetL && abs(radID) < offsetL+10
          && radID == -sign*emtSign*( event[EmtTag].idAbs() - offsetL) )
          finalSplitting = true;
        if ( abs(radID) > offsetR && abs(radID) < offsetR+10
          && radID == -sign*emtSign*( event[EmtTag].idAbs() - offsetR) )
          finalSplitting = true;

        // Initial gluon splitting.
        bool initialSplitting = false;
        if ( radID == 21 && ( ( event[EmtTag].idAbs() > offsetL
                             && event[EmtTag].idAbs() < offsetL+10)
                           || ( event[EmtTag].idAbs() > offsetR
                             && event[EmtTag].idAbs() < offsetR+10) )
          && ( event[iRad].col() == event[EmtTag].col()
            || event[iRad].acol() == event[EmtTag].acol() ) )
          initialSplitting = true;

        if ( finalSplitting ) {

          int col = -1;
          int acl = -1;
          if ( radID < 0 && event[iRad].colType() == -1) {
            acl = event[EmtTag].acol();
            col = event[iRad].acol();
          } else if ( event[iRad].colType() == 1 ) {
            col = event[EmtTag].col();
            acl = event[iRad].col();
          }

          // Recoiler
          int iRec     = 0;
          // Colour partner
          int iPartner = 0;

          if (col > 0) {
            // Find recoiler by colour
            iRec = FindCol(col,iRad,EmtTag,event,1,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }

            // Not interested in pure QCD triples here.
            if ( !isSQCDrad && !isSQCDemt
              && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
              iRec = 0;

            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }

            // Reset partner
            iPartner = 0;
            // Find recoiler by colour
            iRec = FindCol(col,iRad,EmtTag,event,2,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }

            // Not interested in pure QCD triples here.
            if ( !isSQCDrad && !isSQCDemt
              && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
              iRec = 0;

            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }
          }

          if (acl > 0) {

            // Reset partner
            iPartner = 0;
            // Find recoiler by colour
            iRec = FindCol(acl,iRad,EmtTag,event,1,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }

            // Not interested in pure QCD triples here.
            if ( !isSQCDrad && !isSQCDemt
              && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
              iRec = 0;

            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }

            // Reset partner
            iPartner = 0;
            // Find recoiler by colour
            iRec = FindCol(acl,iRad,EmtTag,event,2,true);
            // In initial state splitting has final state colour partner,
            // Save both partner and recoiler
            if ( (sign < 0) && (event[iRec].isFinal()) ) {
              // Save colour recoiler
              iPartner = iRec;
              // Reset kinematic recoiler to initial state parton
              for(int l = 0; l < int(PosInitPartn.size()); ++l)
                if (PosInitPartn[l] != iRad) iRec = PosInitPartn[l];
            // For final state splittings, colour partner and recoiler are
            // identical
            } else {
              iPartner = iRec;
            }

            // Not interested in pure QCD triples here.
            if ( !isSQCDrad && !isSQCDemt
              && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
              iRec = 0;

            if ( iRec != 0 && iPartner != 0
             && allowedClustering( iRad, EmtTag, iRec, iPartner, event) ) {
              clus.push_back( Clustering(EmtTag, iRad, iRec, iPartner,
                   pTLund(event[iRad], event[EmtTag], event[iRec], pTdef) ));
              continue;
            }
          }
        // Initial gluon splitting
        } else if ( initialSplitting ) {

          // SM splittings already taken care of in findQCDTriple.
          if ( !isSQCDrad && !isSQCDemt ) continue;

          // For an initial state radiator, always set recoiler
          // to the other initial state parton (recoil is taken
          // by full remaining system, so this is just a
          // labelling for such a process)
          int RecInit  = 0;
          for(int l = 0; l < int(PosInitPartn.size()); ++l)
            if (PosInitPartn[l] != iRad) RecInit = PosInitPartn[l];

          // Find the colour connected partner
          // Find colour index of radiator before splitting
          int col = getRadBeforeCol(iRad, EmtTag, event);
          int acl = getRadBeforeAcol(iRad, EmtTag, event);

          // Find the correct partner: If a colour line has split,
          // the partner is connected to the radiator before the splitting
          // by a colour line (same reasoning for anticolour). The colour
          // that split is the colour appearing twice in the
          // radiator + emitted pair.
          // Thus, if we remove a colour index with the clustering,
          // we should look for a colour partner, else look for
          // an anticolour partner
          int colRemove = (event[iRad].col() == event[EmtTag].col())
                  ? event[iRad].col() : 0;

          int iPartner = 0;
          if (colRemove > 0 && col > 0)
            iPartner = FindCol(col,iRad,EmtTag,event,1,true)
                     + FindCol(col,iRad,EmtTag,event,2,true);
          else if (colRemove > 0 && acl > 0)
            iPartner = FindCol(acl,iRad,EmtTag,event,1,true)
                     + FindCol(acl,iRad,EmtTag,event,2,true);

          if ( allowedClustering( iRad, EmtTag, RecInit, iPartner, event ) ) {
            clus.push_back( Clustering(EmtTag, iRad, RecInit, iPartner,
                 pTLund(event[iRad],event[EmtTag],event[RecInit], pTdef) ));
              continue;
          }
        }

      // Second colour topology: Gluino emission

      } else {

        if ( (event[iRad].col() == event[EmtTag].acol())
           || (event[iRad].acol() == event[EmtTag].col())
           || (event[iRad].col() == event[EmtTag].col())
           || (event[iRad].acol() == event[EmtTag].acol()) ) {
          // For the rest, choose recoiler to have a common colour
          // tag with radiator, while not being the "Emitted"

          int col = -1;
          int acl = -1;

          if (event[iRad].isFinal() ) {

            if ( radID < 0 && event[iRad].colType() == -1) {
              acl = event[EmtTag].acol();
              col = event[iRad].col();
            } else if ( radID > 0 && event[iRad].colType() == 1 ) {
              col = event[EmtTag].col();
              acl = event[iRad].acol();
            } else {
              col = event[iRad].col();
              acl = event[iRad].acol();
            }

            int iRec = 0;
            if (col > 0) {
              iRec = FindCol(col,iRad,EmtTag,event,1,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              // Not interested in pure QCD triples here.
              if ( !isSQCDrad && !isSQCDemt
                && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
                iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }

              iRec = FindCol(col,iRad,EmtTag,event,2,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              // Not interested in pure QCD triples here.
              if ( !isSQCDrad && !isSQCDemt
                && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
                iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }
            }

            if (acl > 0) {
              iRec = FindCol(acl,iRad,EmtTag,event,1,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              // Not interested in pure QCD triples here.
              if ( !isSQCDrad && !isSQCDemt
                && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
                iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }

              iRec = FindCol(acl,iRad,EmtTag,event,2,true);
              if ( (sign < 0) && (event[iRec].isFinal()) ) iRec = 0;
              // Not interested in pure QCD triples here.
              if ( !isSQCDrad && !isSQCDemt
                && (event[iRec].idAbs() < 10 || event[iRec].id() == 21) )
                iRec = 0;
              if (iRec != 0
               && allowedClustering( iRad, EmtTag, iRec, iRec, event) ) {
                clus.push_back( Clustering(EmtTag, iRad, iRec, iRec,
                     pTLund(event[iRad],event[EmtTag],event[iRec], pTdef) ));
                continue;
              }
            }

          } else {

            // SM splittings already taken care of in findQCDTriple. Since
            // initial state splittings will not know if the true
            // colour-connected recoiler is a SM particle, any ISR splitting
            // of a SM particle will be included by findQCDTriple. To not
            // include the same splitting twice, continue for SM ISR radiator
            if ( !isSQCDrad || !isSQCDemt ) continue;

            // For an initial state radiator, always set recoiler
            // to the other initial state parton (recoil is taken
            // by full remaining system, so this is just a
            // labelling for such a process)
            int RecInit = 0;
            int iPartner = 0;
            for(int l = 0; l < int(PosInitPartn.size()); ++l)
              if (PosInitPartn[l] != iRad) RecInit = PosInitPartn[l];

            // Find the colour connected partner
            // Find colour index of radiator before splitting
            col = getRadBeforeCol(iRad, EmtTag, event);
            acl = getRadBeforeAcol(iRad, EmtTag, event);

            // Find the correct partner: If a colour line has split,
            // the partner is connected to the radiator before the splitting
            // by a colour line (same reasoning for anticolour). The colour
            // that split is the colour appearing twice in the
            // radiator + emitted pair.
            // Thus, if we remove a colour index with the clustering,
            // we should look for a colour partner, else look for
            // an anticolour partner
            int colRemove = (event[iRad].col() == event[EmtTag].col())
                    ? event[iRad].col() : 0;
            iPartner = (colRemove > 0)
                     ?   FindCol(col,iRad,EmtTag,event,1,true)
                       + FindCol(col,iRad,EmtTag,event,2,true)
                     :   FindCol(acl,iRad,EmtTag,event,1,true)
                       + FindCol(acl,iRad,EmtTag,event,2,true);

            if ( allowedClustering( iRad, EmtTag, RecInit, iPartner, event)) {
              clus.push_back( Clustering(EmtTag, iRad, RecInit, iPartner,
                   pTLund(event[iRad],event[EmtTag],event[RecInit], pTdef)));

              continue;
            }
          }
        }
      }
    }
  }

  // Done
  return clus;

}

//--------------------------------------------------------------------------

// Calculate and return the probability of a clustering.
// IN  Clustering : rad,rec,emt - System for which the splitting
//                  probability should be calcuated
// OUT splitting probability

double History::getProb(const Clustering & SystemIn) {

  // Get local copies of input system
  int Rad = SystemIn.emittor;
  int Rec = SystemIn.recoiler;
  int Emt = SystemIn.emitted;

  // Initialise shower probability
  double showerProb = 0.0;

  // If the splitting resulted in disallowed evolution variable,
  // disallow the splitting
  if (SystemIn.pT() <= 0.) return 0.;

  // Initialise all combinatorical factors
  double CF = 4./3.;
  double NC = 3.;
  // Flavour is known when reclustring, thus n_f=1
  double TR = 1./2.;

  // Split up in FSR and ISR
  bool isFSR = (state[Rad].isFinal() && state[Rec].isFinal());
  bool isFSRinREC = (state[Rad].isFinal() && !state[Rec].isFinal());
  bool isISR = !state[Rad].isFinal();

  // Check if this is the clustering 2->3 to 2->2.
  // If so, use weight for joined evolution
  int nFinal = 0;
  for(int i=0; i < state.size(); ++i)
    if (state[i].isFinal()) nFinal++;
  bool isLast = (nFinal == (mergingHooksPtr->hardProcess.nQuarksOut()
                           +mergingHooksPtr->hardProcess.nLeptonOut()+1));

  if (isISR) {
    // Find incoming particles

    int inP = 0;
    int inM = 0;
    for(int i=0;i< int(state.size()); ++i) {
      if (state[i].mother1() == 1) inP = i;
      if (state[i].mother1() == 2) inM = i;
    }
    // Construct dipole mass, eCM and sHat = x1*x2*s
    Vec4   sum     = state[Rad].p() + state[Rec].p() - state[Emt].p();
    double m2Dip = sum.m2Calc();
    double sHat = (state[inM].p() + state[inP].p()).m2Calc();
    // Energy fraction z=E_q1/E_qi in branch q(i)q(2) -> q(1)g(3)q(2)
    double z1 = m2Dip / sHat;
    // Virtuality of the splittings
    Vec4 Q1( state[Rad].p() - state[Emt].p() );
    Vec4 Q2( state[Rec].p() - state[Emt].p() );
    // Q^2 for emission off radiator line
    double Q1sq = -Q1.m2Calc();
    // pT^2 for emission off radiator line
    double pT1sq = pow(SystemIn.pT(),2);
    // Remember if massive particles involved: Mass corrections for
    // to g->QQ and Q->Qg splittings
    bool g2QQmassive = mergingHooksPtr->includeMassive()
        && state[Rad].id() == 21
        && ( (state[Emt].idAbs() >= 4 && state[Emt].idAbs() < 7)
          || (state[Emt].idAbs() > 1000000 && state[Emt].idAbs() < 1000010 )
          || (state[Emt].idAbs() > 2000000 && state[Emt].idAbs() < 2000010 ));
    bool Q2Qgmassive = mergingHooksPtr->includeMassive()
        && state[Emt].id() == 21
        && ( (state[Rad].idAbs() >= 4 && state[Rad].idAbs() < 7)
          || (state[Rad].idAbs() > 1000000 && state[Rad].idAbs() < 1000010 )
          || (state[Rad].idAbs() > 2000000 && state[Rad].idAbs() < 2000010 ));
    bool isMassive = mergingHooksPtr->includeMassive()
                    && ( g2QQmassive || Q2Qgmassive
                      || state[Emt].id() == 1000021);
    double m2Emt0 = pow(particleDataPtr->m0(state[Emt].id()),2);
    double m2Rad0 = pow(particleDataPtr->m0(state[Rad].id()),2);

    // Correction of virtuality for massive splittings
    if ( g2QQmassive)      Q1sq += m2Emt0;
    else if (Q2Qgmassive)  Q1sq += m2Rad0;

    // pT0 dependence!!!
    double pT0sq = pow(mergingHooksPtr->pT0ISR(),2);
    double Q2sq = -Q2.m2Calc();

    // Correction of virtuality of other splitting
    bool g2QQmassiveRec = mergingHooksPtr->includeMassive()
        && state[Rec].id() == 21
        && ( state[Emt].idAbs() >= 4 && state[Emt].idAbs() < 7);
    bool Q2QgmassiveRec = mergingHooksPtr->includeMassive()
        && state[Emt].id() == 21
        && ( state[Rec].idAbs() >= 4 && state[Rec].idAbs() < 7);
    double m2Rec0 = pow(particleDataPtr->m0(state[Rad].id()),2);
    if ( g2QQmassiveRec)      Q2sq += m2Emt0;
    else if (Q2QgmassiveRec)  Q2sq += m2Rec0;

    bool hasJoinedEvol = (state[Emt].id() == 21
                       || state[Rad].id() == state[Rec].id());

    // Initialise normalization factor multiplying the splitting
    // function numerator
    double fac = 1.;
    if ( mergingHooksPtr->pickByFull() || mergingHooksPtr->pickBySumPT()) {
      double facJoined  = ( Q2sq + pT0sq/(1.-z1) )
                        * 1./(Q1sq*Q2sq + pT0sq*sHat + pow(pT0sq/(1.-z1),2));
      double facSingle = mergingHooksPtr->nonJoinedNorm()*1./( pT1sq + pT0sq);

      fac = (hasJoinedEvol && isLast) ? facJoined : facSingle;

    } else if (mergingHooksPtr->pickByPoPT2()) {
      fac = 1./(pT1sq + pT0sq);
    } else {
      string message="Error in History::getProb: Scheme for calculating";
      message+=" shower splitting probability is undefined.";
      infoPtr->errorMsg(message);
    }

    // Calculate shower splitting probability:
    // Splitting functions*normalization*ME reweighting factors

    // Calculate branching probability for q -> q g
    if ( state[Emt].id() == 21 && state[Rad].id() != 21) {
      // Find splitting kernel
      double num = CF*(1. + pow(z1,2)) / (1.-z1);
      if (isMassive) num -= CF * z1 * (1.-z1) * (m2Rad0/pT1sq);

      // Find ME reweighting factor
      double meReweighting = 1.;
      // Find the number of final state coloured particles, apart
      // from those coming from the hard process
      int nCol = 0;
      for(int i=0; i < state.size(); ++i)
        if (state[i].isFinal() && state[i].colType() != 0
          && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,state) )
          nCol++;
      // For first splitting of single vector boson production,
      // apply ME corrections
      if (nCol == 1
       && int(mergingHooksPtr->hardProcess.hardIntermediate.size()) == 1) {
        double sH = m2Dip / z1;
        double tH = -Q1sq;
        double uH = Q1sq - m2Dip * (1. - z1) / z1;
        double misMatch = (uH*tH - (uH + tH)*pT0sq/(1.-z1)
                          + pow(pT0sq/(1.-z1),2) ) / (uH*tH);
        meReweighting *= (tH*tH + uH*uH + 2. * m2Dip * sH)
                       / (sH*sH + m2Dip*m2Dip);
        meReweighting *= misMatch;
      }
      // Multiply factors
      showerProb = num*fac*meReweighting;

    // Calculate branching probability for g -> g g
    } else if ( state[Emt].id() == 21 && state[Rad].id() == 21) {
      // Calculate splitting kernel
      double num = 2.*NC*pow2(1. - z1*(1.-z1)) / (z1*(1.-z1));

      // Include ME reweighting for higgs!!
      // Find ME reweighting factor
      double meReweighting = 1.;
      // Find the number of final state coloured particles, apart
      // from those coming from the hard process
      int nCol = 0;
      for(int i=0; i < state.size(); ++i)
        if (state[i].isFinal() && state[i].colType() != 0
          && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,state) )
          nCol++;
      // For first splitting of single vector boson production,
      // apply ME corrections
      if ( nCol == 1
       && mergingHooksPtr->getProcessString().compare("pp>h") == 0
       && int(mergingHooksPtr->hardProcess.hardIntermediate.size()) == 1 ) {
        double sH = m2Dip / z1;
        double tH = -Q1sq;
        double uH = Q1sq - m2Dip * (1. - z1) / z1;
        meReweighting *= 0.5
                       * (pow4(sH) + pow4(tH) + pow4(uH) + pow4(m2Dip))
                       / pow2(sH*sH - m2Dip * (sH - m2Dip));
      }

      // Multiply factors
      showerProb = num*fac*meReweighting;

    // Calculate branching probability for q -> g q
    } else if ( state[Emt].id() != 21 && state[Rad].id() != 21 ) {
      // Calculate splitting kernel
      double num = CF*(1. + pow2(1.-z1)) / z1;

      // Include ME reweighting for higgs!!
      // Find ME reweighting factor
      double meReweighting = 1.;
      // Find the number of final state coloured particles, apart
      // from those coming from the hard process
      int nCol = 0;
      for ( int i=0; i < state.size(); ++i )
        if ( state[i].isFinal() && state[i].colType() != 0
          && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,state) )
          nCol++;
      // For first splitting of single vector boson production,
      // apply ME corrections
      if (nCol == 1
       && mergingHooksPtr->getProcessString().compare("pp>h") == 0
       && int(mergingHooksPtr->hardProcess.hardIntermediate.size()) == 1) {
        double sH = m2Dip / z1;
        double uH = Q1sq - m2Dip * (1. - z1) / z1;
        meReweighting *= (sH*sH + uH*uH)
                       / (sH*sH + pow2(sH -m2Dip));
      }

      // Multiply factors
      showerProb = num*fac*meReweighting;

    // Calculate branching probability for g -> q qbar
    } else if ( state[Emt].id() != 21 && state[Rad].id() == 21 ) {
      // Calculate splitting kernel
      double num = TR * ( pow(z1,2) + pow(1.-z1,2) );
      if (isMassive) num += TR * 2.*z1*(1.-z1)*(m2Emt0/pT1sq);
      // Calculate ME reweighting factor
      double meReweighting = 1.;
      // Find the number of final state coloured particles, apart
      // from those coming from the hard process
      int nCol = 0;
      for ( int i=0; i < state.size(); ++i )
        if ( state[i].isFinal() && state[i].colType() != 0
         && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,state) )
          nCol++;
      // For first splitting of single vector boson production,
      // apply ME corrections
      if (nCol == 1
        && int(mergingHooksPtr->hardProcess.hardIntermediate.size()) == 1) {
        double sH = m2Dip / z1;
        double tH = -Q1sq;
        double uH = Q1sq - m2Dip * (1. - z1) / z1;
        swap( tH, uH);
        double misMatch = ( uH - pT0sq/(1.-z1) ) / uH;
        double me = (sH*sH + uH*uH + 2. * m2Dip * tH)
                  / (pow2(sH - m2Dip) + m2Dip*m2Dip);
        // Weight with me/overestimate
        meReweighting *= me;
        meReweighting *= misMatch;
      }
      // Multiply factors
      showerProb = num*fac*meReweighting;

    // Print error if no kernel calculated
    } else {
      string message = "Error in History::getProb: Splitting kernel"
        " undefined in ISR in clustering.";
      infoPtr->errorMsg(message);
    }

    // If corrected pT below zero in ISR, put probability to zero
    double m2Sister0 = pow(state[Emt].m0(),2);
    double pT2corr = (Q1sq - z1*(m2Dip + Q1sq)*(Q1sq + m2Sister0)/m2Dip);
    if (pT2corr < 0.) showerProb *= 1e-9;

    // If creating heavy quark by Q -> gQ then next need g -> Q + Qbar.
    // So minimum total mass2 is 4 * m2Sister, but use more to be safe.
    if ( state[Emt].id() == state[Rad].id()
       && ( state[Rad].idAbs() == 4 || state[Rad].idAbs() == 5 )) {
      double m2QQsister =  2.*4.*m2Sister0;
      double pT2QQcorr = Q1sq - z1*(m2Dip + Q1sq)*(Q1sq + m2QQsister)
                       / m2Dip;
      if (pT2QQcorr < 0.0) showerProb *= 1e-9;
    }

    if (mergingHooksPtr->includeRedundant()) {
      // Initialise the spacelike shower alpha_S
      AlphaStrong* asISR = mergingHooksPtr->AlphaS_ISR();
      double as = (*asISR).alphaS(pT1sq + pT0sq) / (2.*M_PI);
      // Multiply with alpha_S
      showerProb *= as;
    }

  // Done for ISR case, begin FSR case

  }  else if (isFSR || isFSRinREC) {

    // Construct dipole mass
    Vec4   sum     = state[Rad].p() + state[Rec].p() + state[Emt].p();
    double m2Dip = sum.m2Calc();
    // Construct 2->3 variables for FSR
    double x1 = 2. * (sum * state[Rad].p()) / m2Dip;
    double x2 = 2. * (sum * state[Rec].p()) / m2Dip;
    double prop1  = max(1e-12, 1. - x1);
    double prop2  = max(1e-12, 1. - x2);
    double x3     = max(1e-12, 2. - x1 - x2);
    // Energy fraction z=E_q1/E_qi in branch q(i)q(2) -> q(1)g(3)q(2)
    double z1 = x1/(x1 + x3);

    // Virtuality of the splittings
    Vec4 Q1( state[Rad].p() + state[Emt].p() );
    Vec4 Q2( state[Rec].p() + state[Emt].p() );

    // Q^2 for emission off radiator line
    double Q1sq = Q1.m2Calc();
    // pT^2 for emission off radiator line
    double pT1sq = pow(SystemIn.pT(),2);
    // Q^2 for emission off recoiler line
    double Q2sq = Q2.m2Calc();

    // Remember if radiator or recoiler is massive.
    bool isMassiveRad = ( state[Rad].idAbs() >= 4
                       && state[Rad].id() != 21 );
    bool isMassiveRec = ( state[Rec].idAbs() >= 4
                       && state[Rec].id() != 21 );
    // Correction of virtuality for massive splittings.
    double m2Rad0 = pow(particleDataPtr->m0(state[Rad].id()),2);
    double m2Rec0 = pow(particleDataPtr->m0(state[Rad].id()),2);
    if ( mergingHooksPtr->includeMassive() && isMassiveRad ) Q1sq -= m2Rad0;
    if ( mergingHooksPtr->includeMassive() && isMassiveRec ) Q2sq -= m2Rec0;

    // Initialise normalization factor multiplying the splitting
    // function numerator
    double fac = 1.;
    if ( mergingHooksPtr->pickByFull() || mergingHooksPtr->pickBySumPT()) {
      double facJoined = (1.-z1)/Q1sq * m2Dip/( Q1sq + Q2sq );
      double facSingle = mergingHooksPtr->fsrInRecNorm() * 1./ pT1sq;
      fac = (!isFSRinREC && isLast) ? facJoined : facSingle;
    } else if (mergingHooksPtr->pickByPoPT2()) {
      fac = 1. / pT1sq;
    } else {
      string message="Error in History::getProb: Scheme for calculating";
      message+=" shower splitting probability is undefined.";
      infoPtr->errorMsg(message);
    }
    // Calculate shower splitting probability:
    // Splitting functions*normalization*ME reweighting factors

    // Calculate branching probability for g -> g_1 g_2
    if ( state[Emt].id() == 21 && state[Rad].id() == 21) {
      // Calculate splitting kernel
      double num = 0.5* NC * (1. + pow3(z1)) / (1.-z1);
      // Multiply factors
      showerProb = num*fac;

    // Calculate branching probability for q -> q g with quark recoiler
    } else if ( state[Emt].id() == 21
             && state[Rad].id() != 21 && state[Rec].id() != 21) {
      // For a qqbar dipole in FSR, ME corrections exist and the
      // splitting function "z-weight" is set to 1.0 (only for 2->2 ??)
      double num = CF * 2./(1.-z1);
      // Find the number of final state coloured particles, apart
      // from those coming from the hard process
      int nCol = 0;
        for(int i=0; i < state.size(); ++i)
          if (state[i].isFinal() && state[i].colType() != 0
          && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,state) )
            nCol++;
      // Calculate splitting kernel
      if ( nCol > 3
        || int(mergingHooksPtr->hardProcess.hardIntermediate.size()) > 1)
        num = CF * (1. + pow2(z1)) /(1.-z1);
      // Calculate ME reweighting factor
      double meReweighting = 1.;
      // Correct if this is the process created by the first
      // FSR splitting of a 2->2 process
      if ( nCol == 3
        && int(mergingHooksPtr->hardProcess.hardIntermediate.size()) == 1 ) {
        // Calculate the ME reweighting factor
        double ShowerRate1       = 2./( x3 * prop2 );
        double meDividingFactor1 = prop1 / x3;
        double me                = (pow(x1,2) + pow(x2,2))/(prop1*prop2);
        meReweighting = meDividingFactor1 * me / ShowerRate1;
      }
      // Multiply factors
      showerProb = num*fac*meReweighting;

    // Calculate branching probability for q1 -> q2 w+- with quark recoiler
    } else if ( state[Emt].idAbs() == 24
             && state[Rad].id()    != 21 && state[Rec].id() != 21 ) {
      double m2W = state[Emt].p().m2Calc();
      double num = ( 3.*pow2(m2W / m2Dip)
                   + 2.* (m2W/m2Dip)*(x1 + x2)
                   + pow2(x1) + pow2(x2) ) / ( prop1*prop2 )
                 - (m2W/m2Dip) / pow2(prop1)
                 - (m2W/m2Dip) / pow2(prop2);
      // Multiply factors
      showerProb = num*fac;

    // Calculate branching probability for q -> q g with gluon recoiler
    } else if ( state[Emt].id() == 21 && state[Rad].id() != 21
      && state[Rec].id() == 21 ) {
      // For qg /qbarg dipoles, the splitting function is
      // calculated and not weighted by a ME correction factor
      // Shower splitting function
      double num = CF * (1. + pow2(z1)) / (1.-z1);
      showerProb = num*fac;

    // Calculate branching probability for g -> q qbar
    } else if ( state[Emt].id() != 21 ) {
      // Get flavour of quark / antiquark
      int flavour = state[Emt].id();
      // Get correct masses for the quarks
      // (needed to calculate splitting function?)
      double mFlavour = particleDataPtr->m0(flavour);
      // Get mass of quark/antiquark pair
      double mDipole = m(state[Rad].p(), state[Emt].p());
      // Factor determining if gluon decay was allowed
      double beta = sqrtpos( 1. - 4.*pow2(mFlavour)/pow2(mDipole) );
      // Shower splitting function
      double num = 0.5*TR * ( z1*z1 + (1.-z1)*(1.-z1) );
      if (beta <= 0.) beta = 0.;

      showerProb = num*fac*beta;

    // Print error if no kernel calculated
    } else {
      string message="Error in History::getProb: Splitting kernel undefined";
      message+=" in FSR clustering.";
      infoPtr->errorMsg(message);
    }

    if (mergingHooksPtr->includeRedundant()) {
      // Initialise the spacelike shower alpha_S
      AlphaStrong* asFSR = mergingHooksPtr->AlphaS_FSR();
      double as = (*asFSR).alphaS(pT1sq) / (2.*M_PI);
      // Multiply with alpha_S
      showerProb *= as;
    }

    // Done for FSR
  } else {
    string message="Error in History::getProb: Radiation could not be";
    message+=" interpreted as FSR or ISR.";
    infoPtr->errorMsg(message);
  }

  if (showerProb <= 0.) showerProb = 0.;

//  // Different coupling constants for qcd and ew splittings
//  if ( state[Emt].colType() != 0 ) {
//    AlphaStrong* asFSR = mergingHooksPtr->AlphaS_FSR();
//    double as = (*asFSR).alphaS(91.188*91.188) / (2.*M_PI);
//    showerProb *= as;
//  } else {
//    AlphaEM* aEMFSR = mergingHooksPtr->AlphaEM_FSR();
//    double aEM = (*aEMFSR).alphaEM(91.188*91.188) / (2.*M_PI);
//    showerProb *= aEM;
//  }

  // Done
  return showerProb;
}


//--------------------------------------------------------------------------

// Set up the beams (fill the beam particles with the correct
// current incoming particles) to allow calculation of splitting
// probability.
// For interleaved evolution, set assignments dividing PDFs into
// sea and valence content. This assignment is, until a history path
// is chosen and a first trial shower performed, not fully correct
// (since content is chosen form too high x and too low scale). The
// assignment used for reweighting will be corrected after trial
// showering

void History::setupBeams() {

  // Do nothing for empty event, possible if sequence of
  // clusterings was ill-advised in that it results in
  // colour-disconnected states
  if (state.size() < 4) return;
  // Do nothing for e+e- beams
  if ( state[3].colType() == 0 ) return;
  if ( state[4].colType() == 0 ) return;

  // Incoming partons to hard process are stored in slots 3 and 4.
  int inS = 0;
  int inP = 0;
  int inM = 0;
  for(int i=0;i< int(state.size()); ++i) {
    if (state[i].mother1() == 1) inP = i;
    if (state[i].mother1() == 2) inM = i;
  }

  // Save some info before clearing beams
  // Mothers of incoming partons companion code
  int motherPcompRes = -1;
  int motherMcompRes = -1;

  bool sameFlavP = false;
  bool sameFlavM = false;

  if (mother) {
    int inMotherP = 0;
    int inMotherM = 0;
    for(int i=0;i< int(mother->state.size()); ++i) {
      if (mother->state[i].mother1() == 1) inMotherP = i;
      if (mother->state[i].mother1() == 2) inMotherM = i;
    }
    sameFlavP = (state[inP].id() == mother->state[inMotherP].id());
    sameFlavM = (state[inM].id() == mother->state[inMotherM].id());

    motherPcompRes = (sameFlavP) ? beamA[0].companion() : -2;
    motherMcompRes = (sameFlavM) ? beamB[0].companion() : -2;
  }

  // Append the current incoming particles to the beam
  beamA.clear();
  beamB.clear();

  // Get energy of incoming particles
  double Ep = 2. * state[inP].e();
  double Em = 2. * state[inM].e();
    
  // If incoming partons are massive then recalculate to put them massless.
  if (state[inP].m() != 0. || state[inM].m() != 0.) {
    Ep = state[inP].pPos() + state[inM].pPos();
    Em = state[inP].pNeg() + state[inM].pNeg();
  }

  // Add incoming hard-scattering partons to list in beam remnants.
  double x1 = Ep / state[inS].m();
  beamA.append( inP, state[inP].id(), x1);
  double x2 = Em / state[inS].m();
  beamB.append( inM, state[inM].id(), x2);

  // Scale. For ME multiplicity history, put scale to mu_F
  // (since sea/valence quark content is chosen from this scale)
  double scalePDF = (mother) ? scale : infoPtr->QFac();
  // Find whether incoming partons are valence or sea. Store.
  // Can I do better, e.g. by setting the scale to the hard process
  // scale (= M_W) or by replacing one of the x values by some x/z??
  beamA.xfISR( 0, state[inP].id(), x1, scalePDF*scalePDF);
  if (!mother) {
    beamA.pickValSeaComp();
  }  else {
    beamA[0].companion(motherPcompRes);
  }
  beamB.xfISR( 0, state[inM].id(), x2, scalePDF*scalePDF);
  if (!mother) {
    beamB.pickValSeaComp();
  } else {
    beamB[0].companion(motherMcompRes);
  }

}

//--------------------------------------------------------------------------

// Calculate the PDF ratio used in the argument of the no-emission
// probability

double History::pdfForSudakov() {

  // Do nothing for e+e- beams
  if ( state[3].colType() == 0 ) return 1.0;
  if ( state[4].colType() == 0 ) return 1.0;

  // Check if splittings was ISR or FSR
  bool FSR = (   mother->state[clusterIn.emittor].isFinal()
             && mother->state[clusterIn.recoiler].isFinal());
  bool FSRinRec = (   mother->state[clusterIn.emittor].isFinal()
                  && !mother->state[clusterIn.recoiler].isFinal());

  // Done for pure FSR
  if (FSR) return 1.0;

  int iInMother = (FSRinRec)? clusterIn.recoiler : clusterIn.emittor;
  //  Find side of event that was reclustered
  int side = ( mother->state[iInMother].pz() > 0 ) ? 1 : -1;

  int inP = 0;
  int inM = 0;
  for(int i=0;i< int(state.size()); ++i) {
    if (state[i].mother1() == 1) inP = i;
    if (state[i].mother1() == 2) inM = i;
  }

  // Save mother id
  int idMother = mother->state[iInMother].id();
  // Find daughter position and id
  int iDau = (side == 1) ? inP : inM;
  int idDaughter = state[iDau].id();
  // Get mother x value
  double xMother = 2. * mother->state[iInMother].e() / mother->state[0].e();
  // Get daughter x value of daughter
  double xDaughter = 2.*state[iDau].e() / state[0].e(); // x1 before isr

  // Calculate pdf ratio
  double ratio = getPDFratio(side, true, false, idMother, xMother, scale,
                   idDaughter, xDaughter, scale);

  // For FSR with incoming recoiler, maximally return 1.0, as
  // is done in Pythia::TimeShower.
  // For ISR, return ratio
  return ( (FSRinRec)? min(1.,ratio) : ratio);
}

//--------------------------------------------------------------------------

// Calculate the hard process matrix element to include in the selection
// probability.

double History::hardProcessME( const Event& event ) {

  // Get hard process.
  string process = mergingHooksPtr->getProcessString();
  double result = 1.;

  if ( process.compare("pp>e+ve") == 0
    || process.compare("pp>e-ve~") == 0
    || process.compare("pp>LEPTONS,NEUTRINOS") == 0 ) {
    // Do nothing for incomplete process.
    int nFinal = 0;
    for ( int i=0; i < int(event.size()); ++i )
      if ( event[i].isFinal() ) nFinal++;
    if ( nFinal != 2 ) return 1.;
    // Get W-boson mass and width.
    double mW = particleDataPtr->m0(24);
    double gW = particleDataPtr->mWidth(24) / mW;
    // Get incoming particles.
    int inP = (event[3].pz() > 0) ? 3 : 4;
    int inM = (event[3].pz() > 0) ? 4 : 3;
    // Get outgoing particles.
    int outP = 0;
    for ( int i=0; i < int(event.size()); ++i ) {
      if ( event[i].isFinal() && event[i].px() > 0 ) outP = i;
    }
    // Get Mandelstam variables.
    double sH = (event[inP].p() + event[inM].p()).m2Calc();
    double tH = (event[inP].p() - event[outP].p()).m2Calc();
    double uH = - sH - tH;

    // Return kinematic part of matrix element.
    result = ( 1. + (tH - uH)/sH ) / ( pow2(sH - mW*mW) + pow2(sH*gW) );
  } else
    result = mergingHooksPtr->hardProcessME(event);

  return result;

}

//--------------------------------------------------------------------------

// Perform the clustering of the current state and return the
// clustered state.
// IN Clustering : rad,rec,emt triple to be clustered to two partons
// OUT clustered state

Event History::cluster( const Clustering & inSystem ) {

  // Initialise tags of particles to be changed
  int Rad = inSystem.emittor;
  int Rec = inSystem.recoiler;
  int Emt = inSystem.emitted;
  // Initialise eCM,mHat
  double eCM = state[0].e();
  // Flags for type of radiation
  int radType = state[Rad].isFinal() ? 1 : -1;
  int recType = state[Rec].isFinal() ? 1 : -1;

  // Construct the clustered event
  Event NewEvent = Event();
  NewEvent.init("(hard process-modified)", particleDataPtr);
  NewEvent.clear();
  // Copy all unchanged particles to NewEvent
  for (int i = 0; i < state.size(); ++i)
    if ( i != Rad && i != Rec && i != Emt )
      NewEvent.append( state[i] );

  // Copy all the junctions one by one
  for (int i = 0; i < state.sizeJunction(); ++i)
    NewEvent.appendJunction( state.getJunction(i) );
  // Find an appropriate scale for the hard process
  double mu = choseHardScale(state);
  // Initialise scales for new event
  NewEvent.saveSize();
  NewEvent.saveJunctionSize();
  NewEvent.scale(mu);
  NewEvent.scaleSecond(mu);

  // Set properties of radiator/recoiler after the clustering
  // Recoiler properties will be unchanged
  Particle RecBefore = Particle( state[Rec] );
  RecBefore.setEvtPtr(&NewEvent);
  RecBefore.daughters(0,0);
  // Find flavour of radiator before splitting
  int radID = getRadBeforeFlav(Rad, Emt, state);
  int recID = state[Rec].id();
  Particle RadBefore = Particle( state[Rad] );
  RadBefore.setEvtPtr(&NewEvent);
  RadBefore.id(radID);
  RadBefore.daughters(0,0);
  // Put dummy values for colours
  RadBefore.cols(RecBefore.acol(),RecBefore.col());

  // Reset status if the reclustered radiator is a resonance.
  if ( particleDataPtr->isResonance(radID) && radType == 1)
    RadBefore.status(state[Rad].status());

  // Put mass for radiator and recoiler
  double radMass = particleDataPtr->m0(radID);
  double recMass = particleDataPtr->m0(recID);
  if (radType == 1 ) RadBefore.m(radMass);
  else RadBefore.m(0.0);
  if (recType == 1 ) RecBefore.m(recMass);
  else RecBefore.m(0.0);

  // Construct momenta and  colours of clustered particles
  // ISR/FSR splittings are treated differently
  if ( radType + recType == 2 && state[Emt].idAbs() != 24 ) {
    // Clustering of final(rad)/final(rec) dipole splitting
    // Get eCM of (rad,rec,emt) triple
    Vec4   sum     = state[Rad].p() + state[Rec].p() + state[Emt].p();
    double eCMME   = sum.mCalc();

    // Define radiator and recoiler back-to-back in the dipole
    // rest frame [=(state[rad]+state[emt])+state[rec] rest frame]
    Vec4 Rad4mom;
    Vec4 Rec4mom;
    double mDsq   = pow2(eCMME);
    // If possible, keep the invariant mass of the radiator.
    double mRsq   = (radID == state[Rad].id() )
                  ? abs(state[Rad].p().m2Calc())
                  : pow2(particleDataPtr->m0(radID));
    double mSsq   = abs(state[Rec].p().m2Calc());
    double a = 0.5*sqrt(mDsq);
    double b = 0.25*(mRsq - mSsq) / a;
    double c = sqrt(pow2(a) + pow2(b) - 2.*a*b - mSsq);

    Rad4mom.p( 0., 0., c, a+b);
    Rec4mom.p( 0., 0.,-c, a-b);

    // Find boost from Rad4mom+Rec4mom rest frame to event cm frame
    Vec4 old1 = Vec4(state[Rad].p() + state[Emt].p());
    Vec4 old2 = Vec4(state[Rec].p());
    RotBstMatrix fromCM;
    fromCM.fromCMframe(old1, old2);
    // Transform momenta
    Rad4mom.rotbst(fromCM);
    Rec4mom.rotbst(fromCM);

    RadBefore.p(Rad4mom);
    RecBefore.p(Rec4mom);
    RadBefore.m(sqrt(mRsq));
    RecBefore.m(sqrt(mSsq));

  } else if ( radType + recType == 2 && state[Emt].idAbs() == 24 ) {
    // Clustering of final(rad)/final(rec) dipole splitting
    // Get eCM of (rad,rec,emt) triple
    Vec4   sum     = state[Rad].p() + state[Rec].p() + state[Emt].p();
    double eCMME   = sum.mCalc();

    // Define radiator and recoiler back-to-back in the dipole
    // rest frame [=(state[rad]+state[emt])+state[rec] rest frame]
    Vec4 Rad4mom;
    Vec4 Rec4mom;
    double mDsq   = pow2(eCMME);
    // If possible, keep the invariant mass of the radiator.
    double mRsq   = (radID == state[Rad].id() )
                  ? abs(state[Rad].p().m2Calc())
                  : pow2(particleDataPtr->m0(radID));
    double mSsq   = abs(state[Rec].p().m2Calc());
    double a = 0.5*sqrt(mDsq);
    double b = 0.25*(mRsq - mSsq) / a;
    double c = sqrt(pow2(a) + pow2(b) - 2.*a*b - mSsq);

    Rad4mom.p( 0., 0., c, a+b);
    Rec4mom.p( 0., 0.,-c, a-b);

    // Find boost from Rad4mom+Rec4mom rest frame to event cm frame
    Vec4 old1 = Vec4(state[Rad].p() + state[Emt].p());
    Vec4 old2 = Vec4(state[Rec].p());
    RotBstMatrix fromCM;
    fromCM.fromCMframe(old1, old2);
    // Transform momenta
    Rad4mom.rotbst(fromCM);
    Rec4mom.rotbst(fromCM);

    RadBefore.p(Rad4mom);
    RecBefore.p(Rec4mom);
    RadBefore.m(sqrt(mRsq));
    RecBefore.m(sqrt(mSsq));

  } else if ( radType + recType == 0 ) {
    // Clustering of final(rad)/initial(rec) dipole splitting
    // Get eCM of (rad,rec,emt) triple
    Vec4   sum     = state[Rad].p() + state[Rec].p() + state[Emt].p();
    double eCMME   = sum.mCalc();
    // Define radiator and recoiler back-to-back in the dipole
    // rest frame [=(state[rad]+state[emt])+state[rec] rest frame]
    Vec4 Rad4mom;
    Vec4 Rec4mom;
    double mDsq   = pow2(eCMME);
    // If possible, keep the invariant mass of the radiator.
    double mRsq   = (radID == state[Rad].id() )
                  ? abs(state[Rad].p().m2Calc())
                  : pow2(particleDataPtr->m0(radID));
    double mSsq   = abs(state[Rec].p().m2Calc());
    double a = 0.5*sqrt(mDsq);
    double b = 0.25*(mRsq - mSsq) / a;
    double c = sqrt(pow2(a) + pow2(b) - 2.*a*b - mSsq);

    Rad4mom.p( 0., 0., c, a+b);
    Rec4mom.p( 0., 0.,-c, a-b);

    // Find boost from Rad4mom+Rec4mom rest frame to event cm frame
    Vec4 old1 = Vec4(state[Rad].p() + state[Emt].p());
    Vec4 old2 = Vec4(state[Rec].p());
    RotBstMatrix fromCM;
    fromCM.fromCMframe(old1, old2);
    // Transform momenta
    Rad4mom.rotbst(fromCM);
    Rec4mom.rotbst(fromCM);

    // Rescale recoiler momentum
    Rec4mom = 2.*state[Rec].p() - Rec4mom;

    RadBefore.p(Rad4mom);
    RecBefore.p(Rec4mom);
    RadBefore.m(sqrt(mRsq));

    // Set mass of initial recoiler to zero
    RecBefore.m( 0.0 );

  } else {
    // Clustering of initial(rad)/initial(rec) dipole splitting
    // We want to cluster: Meaning doing the inverse of a process
    //            ( pDaughter + pRecoiler -> pOut )
    //        ==> ( pMother + pPartner -> pOut' + pSister )
    // produced by an initial state splitting. The matrix element
    // provides us with pMother, pPartner, pSister and pOut'
    Vec4 pMother( state[Rad].p() );
    Vec4 pSister( state[Emt].p() );
    Vec4 pPartner( state[Rec].p() );
    Vec4 pDaughter( 0.,0.,0.,0. );
    Vec4 pRecoiler( 0.,0.,0.,0. );

    // Find side that radiates event (mother moving in sign * p_z direction).
    int sign = (state[Rad].pz() > 0.) ? 1 : -1;

    // Find rotation by phi that would have been done for a
    // splitting daughter -> mother + sister
    double phi = pSister.phi();
    // Find rotation with -phi
    RotBstMatrix rot_by_mphi;
    rot_by_mphi.rot(0.,-phi);
    // Find rotation with +phi
    RotBstMatrix rot_by_pphi;
    rot_by_pphi.rot(0.,phi);

    // Transform pMother and outgoing momenta
    pMother.rotbst( rot_by_mphi );
    pSister.rotbst( rot_by_mphi );
    pPartner.rotbst( rot_by_mphi );
    for(int i=3; i< NewEvent.size(); ++i)
      NewEvent[i].rotbst( rot_by_mphi );

    // Get mother and partner x values
    // x1 after isr
    double x1 = 2. * pMother.e() / eCM;
    // x2 after isr
    double x2 = 2. * pPartner.e() / eCM;

    pDaughter.p( pMother - pSister);
    pRecoiler.p( pPartner );

    // Find boost from event cm frame to rest frame of
    // of-shell daughter + on-shell recoiler
    RotBstMatrix from_CM_to_DR;
    if (sign == 1)
      from_CM_to_DR.toCMframe(pDaughter, pRecoiler);
    else
      from_CM_to_DR.toCMframe(pRecoiler, pDaughter);

    // Transform all momenta
    pMother.rotbst( from_CM_to_DR );
    pPartner.rotbst( from_CM_to_DR );
    pSister.rotbst( from_CM_to_DR );
    for(int i=3; i< NewEvent.size(); ++i)
      NewEvent[i].rotbst( from_CM_to_DR );

    // Find theta angle between pMother and z-axis and undo
    // rotation that would have been done by shower
    double theta = pMother.theta();
    if ( pMother.px() < 0. ) theta *= -1.;
    if (sign == -1) theta += M_PI;


    // Find rotation by +theta
    RotBstMatrix rot_by_ptheta;
    rot_by_ptheta.rot(theta, 0.);

    // Transform all momenta
    pMother.rotbst( rot_by_ptheta );
    pPartner.rotbst( rot_by_ptheta );
    pSister.rotbst( rot_by_ptheta );
    for(int i=3; i< NewEvent.size(); ++i)
      NewEvent[i].rotbst( rot_by_ptheta );

    // Find z of the splitting
    Vec4 qDip( pMother - pSister);
    Vec4 qAfter(pMother + pPartner);
    Vec4 qBefore(qDip + pPartner);
    double z = qBefore.m2Calc() / qAfter.m2Calc();

    // Calculate new e_CM^2
    double x1New = z*x1; // x1 before isr
    double x2New = x2;   // x2 before isr
    double sHat = x1New*x2New*eCM*eCM;

    // Construct daughter and recoiler momenta
    pDaughter.p( 0., 0.,  sign*0.5*sqrt(sHat), 0.5*sqrt(sHat));
    pRecoiler.p( 0., 0., -sign*0.5*sqrt(sHat), 0.5*sqrt(sHat));

    // Find boost from current (daughter+recoiler rest frame)
    // frame to rest frame of daughter+unchanged recoiler to
    // recover the old x2 value
    RotBstMatrix from_DR_to_CM;
    from_DR_to_CM.bst( 0., 0., sign*( x1New - x2New ) / ( x1New + x2New ) );

    // Correct for momentum mismatch by transforming all momenta
    pMother.rotbst( from_DR_to_CM );
    pPartner.rotbst( from_DR_to_CM );
    pSister.rotbst( from_DR_to_CM );
    pDaughter.rotbst( from_DR_to_CM );
    pRecoiler.rotbst( from_DR_to_CM );
    for(int i=3; i< NewEvent.size(); ++i)
      NewEvent[i].rotbst( from_DR_to_CM );

    // Transform pMother and outgoing momenta
    pMother.rotbst( rot_by_pphi );
    pPartner.rotbst( rot_by_pphi );
    pSister.rotbst( rot_by_pphi );
    pDaughter.rotbst( rot_by_pphi );
    pRecoiler.rotbst( rot_by_pphi );
    for(int i=3; i< NewEvent.size(); ++i)
      NewEvent[i].rotbst( rot_by_pphi );

    // Set momenta of particles to be attached to new event record
    RecBefore.p( pRecoiler );
    RadBefore.p( pDaughter );
    if (RecBefore.pz() > 0.) RecBefore.mother1(1);
    else RecBefore.mother1(2);
    if (RadBefore.pz() > 0.) RadBefore.mother1(1);
    else RadBefore.mother1(2);

  }

  // Put some dummy production scales for RecBefore, RadBefore
  RecBefore.scale(mu);
  RadBefore.scale(mu);

  // Append new recoiler and find new radiator colour
  NewEvent.append(RecBefore);

  // Assign the correct colour to re-clustered radiator.
  // Keep old radiator colours for electroweak emission.
  int emtID = state[Emt].id();
  if ( emtID == 22 || emtID == 23 || abs(emtID) == 24 )
    RadBefore.cols( state[Rad].col(), state[Rad].acol() );
  // For QCD, carefully construct colour.
  else if ( !connectRadiator( RadBefore, radType, RecBefore, recType,
               NewEvent ) ) {
    // Could happen if previous clustering produced several colour
    // singlett subsystems in the event
    NewEvent.reset();
    return NewEvent;
  }

  // Build the clustered event
  Event outState = Event();
  outState.init("(hard process-modified)", particleDataPtr);
  outState.clear();

  // Copy system and incoming beam particles to outState
  for (int i = 0; i < 3; ++i)
    outState.append( NewEvent[i] );
  // Copy all the junctions one by one
  for (int i = 0; i < state.sizeJunction(); ++i)
    outState.appendJunction( state.getJunction(i) );
  // Initialise scales for new event
  outState.saveSize();
  outState.saveJunctionSize();
  outState.scale(mu);
  outState.scaleSecond(mu);
  bool radAppended = false;
  bool recAppended = false;
  int size = int(outState.size());
  // Save position of radiator in new event record
  int radPos = 0;

  // Append first incoming particle
  if ( RecBefore.mother1() == 1) {
    outState.append( RecBefore );
    recAppended = true;
  } else if ( RadBefore.mother1() == 1 ) {
    radPos = outState.append( RadBefore );
    radAppended = true;
  } else {
    // Find second incoming in input event
    int in1 = 0;
    for(int i=0; i < int(state.size()); ++i)
      if (state[i].mother1() == 1) in1 =i;
    outState.append( state[in1] );
    size++;
  }
  // Append second incoming particle
  if ( RecBefore.mother1() == 2) {
    outState.append( RecBefore );
    recAppended = true;
  } else if ( RadBefore.mother1() == 2 ) {
    radPos = outState.append( RadBefore );
    radAppended = true;
  } else {
    // Find second incoming in input event
    int in2 = 0;
    for(int i=0; i < int(state.size()); ++i)
      if (state[i].mother1() == 2) in2 =i;

    outState.append( state[in2] );
    size++;
  }

  // Append new recoiler if not done already
  if (!recAppended && !RecBefore.isFinal()) {
    recAppended = true;
    outState.append( RecBefore);
  }
  // Append new radiator if not done already
  if (!radAppended && !RadBefore.isFinal()) {
    radAppended = true;
    radPos = outState.append( RadBefore);
  }

  // Append intermediate particle
  // (careful not to append reclustered recoiler)
  // Append intermediate particle
  // (careful not to append reclustered recoiler)
  for (int i = 0; i < int(NewEvent.size()-1); ++i)
    if (NewEvent[i].status() == -22) outState.append( NewEvent[i] );
  // Append final state particles, resonances first
  for (int i = 0; i < int(NewEvent.size()-1); ++i)
    if (NewEvent[i].status() == 22) outState.append( NewEvent[i] );
  // Then start appending partons
  if (!radAppended && RadBefore.statusAbs() == 22)
    radPos = outState.append(RadBefore);
  if (!recAppended)
    outState.append(RecBefore);
  if (!radAppended && RadBefore.statusAbs() != 22)
    radPos = outState.append(RadBefore);
  // Then partons (not reclustered recoiler)
  for(int i = 0; i < int(NewEvent.size()-1); ++i)
    if ( NewEvent[i].status()  != 22
      && NewEvent[i].colType() != 0
      && NewEvent[i].isFinal())
      outState.append( NewEvent[i] );
  // Then the rest
  for(int i = 0; i < int(NewEvent.size()-1); ++i)
    if ( NewEvent[i].status() != 22
      && NewEvent[i].colType() == 0
      && NewEvent[i].isFinal() )
      outState.append( NewEvent[i]);

  // Find intermediate and respective daughters
  vector PosIntermediate;
  vector PosDaughter1;
  vector PosDaughter2;
  for(int i=0; i < int(outState.size()); ++i)
    if (outState[i].status() == -22) {
      PosIntermediate.push_back(i);
      int d1 = outState[i].daughter1();
      int d2 = outState[i].daughter2();
      // Find daughters in output state
      int daughter1 = FindParticle( state[d1], outState);
      int daughter2 = FindParticle( state[d2], outState);
      // If both daughters found, done
      // Else put first final particle as first daughter
      // and last final particle as second daughter
      if (daughter1 > 0)
        PosDaughter1.push_back( daughter1);
      else {
        daughter1 = 0;
        while(!outState[daughter1].isFinal() ) daughter1++;
        PosDaughter1.push_back( daughter1);
      }
      if (daughter2 > 0)
        PosDaughter2.push_back( daughter2);
      else {
        daughter2 = outState.size()-1;
        while(!outState[daughter2].isFinal() ) daughter2--;
        PosDaughter2.push_back( daughter2);
      }
    }
  // Set daughters and mothers
  for(int i=0; i < int(PosIntermediate.size()); ++i) {
    outState[PosIntermediate[i]].daughters(PosDaughter1[i],PosDaughter2[i]);
    outState[PosDaughter1[i]].mother1(PosIntermediate[i]);
    outState[PosDaughter2[i]].mother1(PosIntermediate[i]);
  }

  // Find range of final state partons
  int minParFinal = int(outState.size());
  int maxParFinal = 0;
  for(int i=0; i < int(outState.size()); ++i)
    if (outState[i].mother1() == 3 && outState[i].mother2() == 4) {
      minParFinal = min(i,minParFinal);
      maxParFinal = max(i,maxParFinal);
    }

  if (minParFinal == maxParFinal) maxParFinal = 0;
  outState[3].daughters(minParFinal,maxParFinal);
  outState[4].daughters(minParFinal,maxParFinal);

  // Update event properties
  outState.saveSize();
  outState.saveJunctionSize();

  // Almost there...
  // If an intermediate coloured parton exists which was directly
  // colour connected to the radiator before the splitting, and the
  // radiator before and after the splitting had only one colour, problems
  // will arise since the colour of the radiator will be changed, whereas
  // the intermediate parton still has the old colour. In effect, this
  // means that when setting up a event for trial showering, one colour will
  // be free.
  // Hence, check for an intermediate coloured triplet resonance has been
  // colour-connected to the "old" radiator.
  // Find resonance
  int iColRes = 0;
  if ( radType == -1 && state[Rad].colType() == 1) {
      // Find resonance connected to initial colour
      for(int i=0; i < int(state.size()); ++i)
        if ( i != Rad && i != Emt && i != Rec
          && state[i].status() == -22
          && state[i].col() == state[Rad].col() )
          iColRes = i;
  } else if ( radType == -1 && state[Rad].colType() == -1) {
      // Find resonance connected to initial anticolour
      for(int i=0; i < int(state.size()); ++i)
        if ( i != Rad && i != Emt && i != Rec
          && state[i].status() == -22
          && state[i].acol() == state[Rad].acol() )
          iColRes = i;
  } else if ( radType == 1 && state[Rad].colType() == 1) {
      // Find resonance connected to final state colour
      for(int i=0; i < int(state.size()); ++i)
        if ( i != Rad && i != Emt && i != Rec
          && state[i].status() == -22
          && state[i].col() == state[Rad].col() )
          iColRes = i;
  } else if ( radType == 1 && state[Rad].colType() == -1) {
      // Find resonance connected to final state anticolour
      for(int i=0; i < int(state.size()); ++i)
        if ( i != Rad && i != Emt && i != Rec
          && state[i].status() == -22
          && state[i].acol() == state[Rad].acol() )
          iColRes = i;
  }

  if (iColRes > 0) {
    // Now find this resonance in the reclustered state
    int iColResNow = FindParticle( state[iColRes], outState);

    // Find reclustered radiator colours
    int radCol = outState[radPos].col();
    int radAcl = outState[radPos].acol();
    // Find resonance radiator colours
    int resCol = outState[iColResNow].col();
    int resAcl = outState[iColResNow].acol();
    // Check if any of the reclustered radiators colours match the resonance
    bool matchesRes =  (radCol > 0
                          && ( radCol == resCol || radCol == resAcl))
                    || (radAcl > 0
                          && ( radAcl == resCol || radAcl == resAcl));

    // If a resonance has been found, but no colours match, change
    // the colour of the resonance
    if (!matchesRes && iColResNow > 0) {
      if ( radType == -1 && outState[radPos].colType() == 1)
        outState[iColResNow].col(radCol);
      else if ( radType ==-1 && outState[radPos].colType() ==-1)
        outState[iColResNow].acol(radAcl);
      else if ( radType == 1 && outState[radPos].colType() == 1)
        outState[iColResNow].col(radCol);
      else if ( radType == 1 && outState[radPos].colType() ==-1)
        outState[iColResNow].acol(radAcl);
    }


    // If a resonance has been found, but no colours match, and the position
    // of the resonance in the event record has been changed, update the
    // radiator mother
    if (!matchesRes && iColResNow > 0 && iColRes != iColResNow)
      outState[radPos].mother1(iColResNow);

  }

  // If event is not constructed properly, return false
  if ( !validEvent(outState) ) {
    outState.reset();
    return outState;
  }

  // Remember position of reclustered radiator in state
  iReclusteredNew = radPos;

  // Done
  return outState;
}

//--------------------------------------------------------------------------

// Function to get the flavour of the radiator before the splitting
// for clustering
// IN int  : Flavour of the radiator after the splitting
//    int  : Flavour of the emitted after the splitting
// OUT int : Flavour of the radiator before the splitting

int History::getRadBeforeFlav(const int RadAfter, const int EmtAfter,
      const Event& event) {

  int type = event[RadAfter].isFinal() ? 1 :-1;
  int emtID  = event[EmtAfter].id();
  int radID  = event[RadAfter].id();
  int emtCOL = event[EmtAfter].col();
  int radCOL = event[RadAfter].col();
  int emtACL = event[EmtAfter].acol();
  int radACL = event[RadAfter].acol();

  bool colConnected = ((type == 1) && ( (emtCOL !=0 && (emtCOL ==radACL))
                                     || (emtACL !=0 && (emtACL ==radCOL)) ))
                    ||((type ==-1) && ( (emtCOL !=0 && (emtCOL ==radCOL))
                                     || (emtACL !=0 && (emtACL ==radACL)) ));
  // QCD splittings
  // Gluon radiation
  if ( emtID == 21 )
    return radID;
  // Final state gluon splitting
  if ( type == 1 && emtID == -radID && !colConnected )
    return 21;
  // Initial state s-channel gluon splitting
  if ( type ==-1 && radID == 21 )
    return -emtID;
  // Initial state t-channel gluon splitting
  if ( type ==-1 && !colConnected
    && emtID != 21 && radID != 21 && abs(emtID) < 10 && abs(radID) < 10)
    return 21;

  // SQCD splittings
  int radSign = (radID < 0) ? -1 : 1;
  int offsetL = 1000000;
  int offsetR = 2000000;
  // Gluino radiation
  if ( emtID == 1000021 ) {
    // Gluino radiation combined with quark yields squark.
    if (abs(radID) < 10 ) {
      int offset = offsetL;
      // Check if righthanded squark present. If so, make the reclustered
      // squark match. Works for squark pair production + gluino emission.
      for (int i=0; i < int(event.size()); ++i)
        if ( event[i].isFinal()
          && event[i].idAbs() < offsetR+10 && event[i].idAbs() > offsetR)
          offset = offsetR;
      return radSign*(abs(radID)+offset);
    }
    // Gluino radiation combined with squark yields quark.
    if (abs(radID) > offsetL && abs(radID) < offsetL+10 )
      return radSign*(abs(radID)-offsetL);
    if (abs(radID) > offsetR && abs(radID) < offsetR+10 )
      return radSign*(abs(radID)-offsetR);
    // Gluino radiation off gluon yields gluino.
    if (radID == 21 ) return emtID;
  }

  int emtSign = (emtID < 0) ? -1 : 1;
  // Get PDG numbering offsets.
  int emtOffset = 0;
  if ( abs(emtID) > offsetL && abs(emtID) < offsetL+10 )
    emtOffset = offsetL;
  if ( abs(emtID) > offsetR && abs(emtID) < offsetR+10 )
    emtOffset = offsetR;
  int radOffset = 0;
  if ( abs(radID) > offsetL && abs(radID) < offsetL+10 )
    radOffset = offsetL;
  if ( abs(radID) > offsetR && abs(radID) < offsetR+10 )
    radOffset = offsetR;

  // Final state gluino splitting
  if ( type == 1 && !colConnected ) {
    // Emitted squark, radiating quark.
    if ( emtOffset > 0 && radOffset == 0
      && emtSign*(abs(emtID) - emtOffset) == -radID )
      return 1000021;
    // Emitted quark, radiating squark.
    if ( emtOffset == 0 && radOffset > 0
      && emtID == -radSign*(abs(radID) - radOffset) )
      return 1000021;
  }

  // Initial state s-channel gluino splitting
  if ( type ==-1 && radID == 1000021 ) {
    // Quark entering underlying hard process.
    if ( emtOffset > 0 ) return -emtSign*(abs(emtID) - emtOffset);
    // Squark entering underlying hard process.
    else return -emtSign*(abs(emtID) + emtOffset);
  }

  // Initial state t-channel gluino splitting.
  if ( type ==-1
    && ( (abs(emtID) > offsetL && abs(emtID) < offsetL+10)
      || (abs(emtID) > offsetR && abs(emtID) < offsetR+10))
    && ( (abs(radID) > offsetL && abs(radID) < offsetL+10)
      || (abs(radID) > offsetR && abs(radID) < offsetR+10))
    && emtSign*(abs(emtID)+emtOffset) == radSign*(abs(radID) - radOffset)
    && !colConnected ) {
    return 1000021;
  }

  // Electroweak splittings splittings
  // Photon / Z radiation: Calculate invariant mass of system
  double m2final = (event[RadAfter].p()+ event[EmtAfter].p()).m2Calc();

  if ( emtID == 22 || emtID == 23 ) return radID;
  // Final state Photon splitting
  if ( type == 1 && emtID == -radID && colConnected && sqrt(m2final) <= 10. )
    return 22;
  // Final state Photon splitting
  if ( type == 1 && emtID == -radID && colConnected && sqrt(m2final)  > 10. )
    return 23;
  // Initial state s-channel photon/ Z splitting
  if ( type ==-1 && (radID == 22 || radID == 23) )
    return -emtID;
  // Initial state t-channel photon / Z splitting: Always bookkeep as photon
  if ( type ==-1 && abs(emtID) < 10 && abs(radID) < 10 && colConnected )
    return 22;

  // W+ radiation
  // Final state W+ splitting
  if ( emtID == 24 && radID < 0 ) return radID + 1;
  if ( emtID == 24 && radID > 0 ) return radID + 1;

  // W- radiation
  // Final state W- splitting
  if ( emtID ==-24 && radID < 0 ) return radID - 1;
  if ( emtID ==-24 && radID > 0 ) return radID - 1;

  // Done.
  return 0;

}

//--------------------------------------------------------------------------

// Function to properly colour-connect the radiator to the rest of
// the event, as needed during clustering
// IN  Particle& : Particle to be connected
//     Particle  : Recoiler forming a dipole with Radiator
//     Event     : event to which Radiator shall be appended
// OUT true               : Radiator could be connected to the event
//     false              : Radiator could not be connected to the
//                          event or the resulting event was
//                          non-valid

bool History::connectRadiator( Particle& Radiator, const int RadType,
                      const Particle& Recoiler, const int RecType,
                      const Event& event ) {

  // Start filling radiator colour indices with dummy values
  Radiator.cols( -1, -1 );

  // Radiator should always be colour-connected to recoiler.
  // Three cases (rad = Anti-Quark, Quark, Gluon) to be considered
  if ( Radiator.colType() == -1 ) {
    // For final state antiquark radiator, the anticolour is fixed
    // by the final / initial state recoiler colour / anticolour
    if ( RadType + RecType == 2 )
      Radiator.cols( 0, Recoiler.col());
    else if ( RadType + RecType == 0 )
      Radiator.cols( 0, Recoiler.acol());
    // For initial state antiquark radiator, the anticolour is fixed
    // by the colour of the emitted gluon (which will be the
    // leftover anticolour of a final state particle or the leftover
    // colour of an initial state particle ( = the recoiler))
    else {
      // Set colour of antiquark radiator to zero
      Radiator.col( 0 );
      for (int i = 0; i < event.size(); ++i) {
        int col = event[i].col();
        int acl = event[i].acol();

        if ( event[i].isFinal()) {
          // Search for leftover anticolour in final / initial state
          if ( acl > 0 && FindCol(acl,i,0,event,1,true) == 0
              && FindCol(acl,i,0,event,2,true) == 0 )
            Radiator.acol(event[i].acol());
        } else {
          // Search for leftover colour in initial / final state
          if ( col > 0 && FindCol(col,i,0,event,1,true) == 0
              && FindCol(col,i,0,event,2,true) == 0 )
            Radiator.acol(event[i].col());
        }
      } // end loop over particles in event record
    }

  } else if ( Radiator.colType() == 1 ) {
    // For final state quark radiator, the colour is fixed
    // by the final / initial state recoiler anticolour / colour
    if ( RadType + RecType == 2 )
      Radiator.cols( Recoiler.acol(), 0);

    else if ( RadType + RecType == 0 )
      Radiator.cols( Recoiler.col(), 0);
    // For initial state quark radiator, the colour is fixed
    // by the anticolour of the emitted gluon (which will be the
    // leftover colour of a final state particle or the leftover
    // anticolour of an initial state particle ( = the recoiler))

    else {
      // Set anticolour of quark radiator to zero
      Radiator.acol( 0 );
      for (int i = 0; i < event.size(); ++i) {
        int col = event[i].col();
        int acl = event[i].acol();

        if ( event[i].isFinal()) {
          // Search for leftover colour in final / initial state
          if ( col > 0 && FindCol(col,i,0,event,1,true) == 0
              && FindCol(col,i,0,event,2,true) == 0)
            Radiator.col(event[i].col());
        } else {
          // Search for leftover anticolour in initial / final state
          if ( acl > 0 && FindCol(acl,i,0,event,1,true) == 0
              && FindCol(acl,i,0,event,2,true) == 0)
            Radiator.col(event[i].acol());
        }
      } // end loop over particles in event record

    } // end distinction between fsr / fsr+initial recoiler / isr

  } else if ( Radiator.colType() == 2 ) {
    // For a gluon radiator, one (anticolour) colour index is defined
    // by the recoiler colour (anticolour).
    // The remaining index is chosen to match the free index in the
    // event
    // Search for leftover colour (anticolour) in the final state
    for (int i = 0; i < event.size(); ++i) {
      int col = event[i].col();
      int acl = event[i].acol();
      int iEx = i;

      if ( event[i].isFinal()) {
        if ( col > 0 && FindCol(col,iEx,0,event,1,true) == 0
          && FindCol(col,iEx,0,event,2,true) == 0) {
          if (Radiator.status() < 0 ) Radiator.col(event[i].col());
          else Radiator.acol(event[i].col());
        }
        if ( acl > 0 && FindCol(acl,iEx,0,event,2,true) == 0
          && FindCol(acl,iEx,0,event,1,true) == 0 ) {
          if (Radiator.status() < 0 )  Radiator.acol(event[i].acol());
          else Radiator.col(event[i].acol());
        }
      } else {
        if ( col > 0 && FindCol(col,iEx,0,event,1,true) == 0
          && FindCol(col,iEx,0,event,2,true) == 0) {
          if (Radiator.status() < 0 ) Radiator.acol(event[i].col());
          else Radiator.col(event[i].col());
        }
        if ( acl > 0 && (FindCol(acl,iEx,0,event,2,true) == 0
          && FindCol(acl,iEx,0,event,1,true) == 0)) {
          if (Radiator.status() < 0 ) Radiator.col(event[i].acol());
          else Radiator.acol(event[i].acol());
        }
      }
    } // end loop over particles in event record
  } // end cases of different radiator colour type

  // If either colour or anticolour has not been set, return false
  if (Radiator.col() < 0 || Radiator.acol() < 0) return false;
  // Done
  return true;
}

//--------------------------------------------------------------------------

// Function to find a colour (anticolour) index in the input event
// IN  int col       : Colour tag to be investigated
//     int iExclude1 : Identifier of first particle to be excluded
//                     from search
//     int iExclude2 : Identifier of second particle to be excluded
//                     from  search
//     Event event   : event to be searched for colour tag
//     int type      : Tag to define if col should be counted as
//                      colour (type = 1) [->find anti-colour index
//                                         contracted with col]
//                      anticolour (type = 2) [->find colour index
//                                         contracted with col]
// OUT int           : Position of particle in event record
//                     contraced with col [0 if col is free tag]

int History::FindCol(int col, int iExclude1, int iExclude2,
            const Event& event, int type, bool isHardIn) {

  bool isHard = isHardIn;
  int index = 0;

  if (isHard) {
    // Search event record for matching colour & anticolour
    for(int n = 0; n < event.size(); ++n) {
      if ( n != iExclude1 && n != iExclude2
        && event[n].colType() != 0
        &&(   event[n].status() > 0          // Check outgoing
           || event[n].status() == -21) ) {  // Check incoming
         if ( event[n].acol() == col ) {
          index = -n;
          break;
        }
        if ( event[n].col()  == col ) {
          index =  n;
          break;
        }
      }
    }
  } else {

    // Search event record for matching colour & anticolour
    for(int n = 0; n < event.size(); ++n) {
      if (  n != iExclude1 && n != iExclude2
        && event[n].colType() != 0
        &&(   event[n].status() == 43        // Check outgoing from ISR
           || event[n].status() == 51        // Check outgoing from FSR
           || event[n].status() == -41       // first initial
           || event[n].status() == -42) ) {  // second initial
        if ( event[n].acol() == col ) {
          index = -n;
          break;
        }
        if ( event[n].col()  == col ) {
          index =  n;
          break;
        }
      }
    }
  }
  // if no matching colour / anticolour has been found, return false
  if ( type == 1 && index < 0) return abs(index);
  if ( type == 2 && index > 0) return abs(index);

  return 0;
}

//--------------------------------------------------------------------------

// Function to in the input event find a particle with quantum
// numbers matching those of the input particle
// IN  Particle : Particle to be searched for
//     Event    : Event to be searched in
// OUT int      : > 0 : Position of matching particle in event
//                < 0 : No match in event

int History::FindParticle( const Particle& particle, const Event& event,
  bool checkStatus ) {

  int index = -1;

  for ( int i = int(event.size()) - 1; i > 0; --i )
    if ( event[i].id()         == particle.id()
      && event[i].colType()    == particle.colType()
      && event[i].chargeType() == particle.chargeType()
      && event[i].col()        == particle.col()
      && event[i].acol()       == particle.acol()
      && event[i].charge()     == particle.charge() ) {
      index = i;
      break;
    }

  if ( checkStatus && event[index].status() != particle.status() )
    index = -1;

  return index;
}

//--------------------------------------------------------------------------

// Function to get the colour of the radiator before the splitting
// for clustering
// IN  int   : Position of the radiator after the splitting, in the event
//     int   : Position of the emitted after the splitting, in the event
//     Event : Reference event
// OUT int   : Colour of the radiator before the splitting

int History::getRadBeforeCol(const int rad, const int emt,
      const Event& event) {

  // Save type of splitting
  int type = (event[rad].isFinal()) ? 1 :-1;
  // Get flavour of radiator after potential clustering
  int radBeforeFlav = getRadBeforeFlav(rad,emt,event);
  // Get colours of the radiator before the potential clustering
  int radBeforeCol = -1;
  // Get reconstructed gluon colours
  if (radBeforeFlav == 21) {

    // Start with quark emissions in FSR
    if (type == 1 && event[emt].id() != 21) {
      radBeforeCol = (event[rad].col()  > 0)
                   ? event[rad].col() : event[emt].col();
    // Quark emissions in ISR
    } else if (type == -1 && event[emt].id() != 21) {
      radBeforeCol = (event[rad].col()  > 0)
                   ? event[rad].col() : event[emt].acol();
    //Gluon emissions in FSR
    } else if (type == 1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].acol())
                    ? event[rad].acol() : event[rad].col();
      radBeforeCol  = (event[rad].col()  == colRemove)
                    ? event[emt].col() : event[rad].col();
    //Gluon emissions in ISR
    } else if (type == -1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].col())
                    ? event[rad].col() : event[rad].acol();
      radBeforeCol  = (event[rad].col()  == colRemove)
                    ? event[emt].acol() : event[rad].col();
    }

  // Get reconstructed quark colours
  } else if ( radBeforeFlav != 21 && radBeforeFlav > 0) {

    // Quark emission in FSR
    if (type == 1 && event[emt].id() != 21) {
      // If radiating is a quark, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].acol())
                    ? event[rad].acol() : 0;
      radBeforeCol  = (event[rad].col()  == colRemove)
                    ? event[emt].col() : event[rad].col();
    //Gluon emissions in FSR
    } else if (type == 1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].acol())
                    ? event[rad].col() : 0;
      radBeforeCol  = (event[rad].col()  == colRemove)
                    ? event[emt].col() : event[rad].col();
    //Quark emissions in ISR
    } else if (type == -1 && event[emt].id() != 21) {
      // If emitted is a quark, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].col())
                    ? event[rad].col() : 0;
      radBeforeCol  = (event[rad].col()  == colRemove)
                    ? event[emt].acol() : event[rad].col();
    //Gluon emissions in ISR
    } else if (type == -1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].col())
                    ? event[rad].col() : 0;
      radBeforeCol  = (event[rad].col()  == colRemove)
                    ? event[emt].acol() : event[rad].col();
    }
  // Other particles are assumed uncoloured
  } else {
    radBeforeCol = 0;
  }

  return radBeforeCol;

}

//--------------------------------------------------------------------------

// Function to get the anticolour of the radiator before the splitting
// for clustering
// IN  int   : Position of the radiator after the splitting, in the event
//     int   : Position of the emitted after the splitting, in the event
//     Event : Reference event
// OUT int   : Anticolour of the radiator before the splitting

int History::getRadBeforeAcol(const int rad, const int emt,
      const Event& event) {

  // Save type of splitting
  int type = (event[rad].isFinal()) ? 1 :-1;
  // Get flavour of radiator after potential clustering

  int radBeforeFlav = getRadBeforeFlav(rad,emt,event);
  // Get colours of the radiator before the potential clustering
  int radBeforeAcl = -1;
  // Get reconstructed gluon colours
  if (radBeforeFlav == 21) {

    // Start with quark emissions in FSR
    if (type == 1 && event[emt].id() != 21) {
      radBeforeAcl = (event[rad].acol() > 0)
                   ? event[rad].acol() : event[emt].acol();
    // Quark emissions in ISR
    } else if (type == -1 && event[emt].id() != 21) {
      radBeforeAcl = (event[rad].acol() > 0)
                   ? event[rad].acol() : event[emt].col();
    //Gluon emissions in FSR
    } else if (type == 1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].acol())
                    ? event[rad].acol() : event[rad].col();
      radBeforeAcl  = (event[rad].acol() == colRemove)
                    ? event[emt].acol() : event[rad].acol();
    //Gluon emissions in ISR
    } else if (type == -1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].col())
                    ? event[rad].col() : event[rad].acol();
      radBeforeAcl  = (event[rad].acol() == colRemove)
                    ? event[emt].col() : event[rad].acol();
    }

  // Get reconstructed anti-quark colours
  } else if ( radBeforeFlav != 21 && radBeforeFlav < 0) {

    // Antiquark emission in FSR
    if (type == 1 && event[emt].id() != 21) {
      // If radiating is a antiquark, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].col() == event[emt].acol())
                    ? event[rad].acol() : 0;
      radBeforeAcl  = (event[rad].acol()  == colRemove)
                    ? event[emt].acol() : event[rad].acol();
    //Gluon emissions in FSR
    } else if (type == 1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].acol() == event[emt].col())
                    ? event[rad].acol() : 0;
      radBeforeAcl  = (event[rad].acol()  == colRemove)
                    ? event[emt].acol() : event[rad].acol();
    //Antiquark emissions in ISR
    } else if (type == -1 && event[emt].id() != 21) {
      // If emitted is an antiquark, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].acol() == event[emt].acol())
                    ? event[rad].acol() : 0;
      radBeforeAcl  = (event[rad].acol()  == colRemove)
                    ? event[emt].col() : event[rad].acol();
    //Gluon emissions in ISR
    } else if (type == -1 && event[emt].id() == 21) {
      // If emitted is a gluon, remove the repeated index, and take
      // the remaining indices as colour and anticolour
      int colRemove = (event[rad].acol() == event[emt].acol())
                    ? event[rad].acol() : 0;
      radBeforeAcl  = (event[rad].acol()  == colRemove)
                    ? event[emt].col() : event[rad].acol();
    }
  // Other particles are considered uncoloured
  } else {
    radBeforeAcl = 0;
  }

  return radBeforeAcl;

}

//--------------------------------------------------------------------------

  // Function to get the parton connected to in by a colour line
  // IN  int   : Position of parton for which partner should be found
  //     Event : Reference event
  // OUT int   : If a colour line connects the "in" parton with another
  //             parton, return the Position of the partner, else return 0

int History::getColPartner(const int in, const Event& event) {

  if (event[in].col() == 0) return 0;

  int partner = 0;
  // Try to find anticolour index first
  partner = FindCol(event[in].col(),in,0,event,1,true);
  // If no anticolour index has been found, try colour
  if (partner == 0)
   partner = FindCol(event[in].col(),in,0,event,2,true);

  return partner;

}

//--------------------------------------------------------------------------


  // Function to get the parton connected to in by an anticolour line
  // IN  int   : Position of parton for which partner should be found
  //     Event : Reference event
  // OUT int   : If an anticolour line connects the "in" parton with another
  //             parton, return the Position of the partner, else return 0

int History::getAcolPartner(const int in, const Event& event) {

  if (event[in].acol() == 0) return 0;

  int partner = 0;
  // Try to find colour index first
  partner = FindCol(event[in].acol(),in,0,event,2,true);
  // If no colour index has been found, try anticolour
  if (partner == 0)
   partner = FindCol(event[in].acol(),in,0,event,1,true);

  return partner;

}

//--------------------------------------------------------------------------

// Function to get the list of partons connected to the particle
// formed by reclusterinf emt and rad by colour and anticolour lines
// IN  int          : Position of radiator in the clustering
// IN  int          : Position of emitted in the clustering
//     Event        : Reference event
// OUT vector  : List of positions of all partons that are connected
//                    to the parton that will be formed
//                    by clustering emt and rad.

vector History::getReclusteredPartners(const int rad, const int emt,
  const Event& event) {

  // Save type
  int type = event[rad].isFinal() ? 1 : -1;
  // Get reclustered colours
  int radBeforeCol = getRadBeforeCol(rad, emt, event);
  int radBeforeAcl = getRadBeforeAcol(rad, emt, event);
  // Declare output
  vector partners;


  // Start with FSR clusterings
  if (type == 1) {

    for(int i=0; i < int(event.size()); ++i) {
      // Check all initial state partons
      if ( i != emt && i != rad
        && event[i].status() == -21
        && event[i].col() > 0
        && event[i].col() == radBeforeCol)
          partners.push_back(i);
      // Check all final state partons
      if ( i != emt && i != rad
        && event[i].isFinal()
        && event[i].acol() > 0
        && event[i].acol() == radBeforeCol)
          partners.push_back(i);
      // Check all initial state partons
      if ( i != emt && i != rad
        && event[i].status() == -21
        && event[i].acol() > 0
        && event[i].acol() == radBeforeAcl)
          partners.push_back(i);
      // Check all final state partons
      if ( i != emt && i != rad
        && event[i].isFinal()
        && event[i].col() > 0
        && event[i].col() == radBeforeAcl)
          partners.push_back(i);
    }
  // Start with ISR clusterings
  } else {

    for(int i=0; i < int(event.size()); ++i) {
      // Check all initial state partons
      if ( i != emt && i != rad
        && event[i].status() == -21
        && event[i].acol() > 0
        && event[i].acol() == radBeforeCol)
          partners.push_back(i);
      // Check all final state partons
      if ( i != emt && i != rad
        && event[i].isFinal()
        && event[i].col() > 0
        && event[i].col() == radBeforeCol)
          partners.push_back(i);
      // Check all initial state partons
      if ( i != emt && i != rad
        && event[i].status() == -21
        && event[i].col() > 0
        && event[i].col() == radBeforeAcl)
          partners.push_back(i);
      // Check all final state partons
      if ( i != emt && i != rad
        && event[i].isFinal()
        && event[i].acol() > 0
        && event[i].acol() == radBeforeAcl)
          partners.push_back(i);
    }

  }
  // Done
  return partners;
}

//--------------------------------------------------------------------------

// Function to extract a chain of colour-connected partons in
// the event
// IN     int          : Type of parton from which to start extracting a
//                       parton chain. If the starting point is a quark
//                       i.e. flavType = 1, a chain of partons that are
//                       consecutively connected by colour-lines will be
//                       extracted. If the starting point is an antiquark
//                       i.e. flavType =-1, a chain of partons that are
//                       consecutively connected by anticolour-lines
//                       will be extracted.
// IN      int         : Position of the parton from which a
//                       colour-connected chain should be derived
// IN      Event       : Refernence event
// IN/OUT  vector : Partons that should be excluded from the search.
// OUT     vector : Positions of partons along the chain
// OUT     bool        : Found singlet / did not find singlet

bool History::getColSinglet( const int flavType, const int iParton,
  const Event& event, vector& exclude, vector& colSinglet) {

  // If no possible flavour to start from has been found
  if (iParton < 0) return false;

  // If no further partner has been found in a previous iteration,
  // and the whole final state has been excluded, we're done
  if (iParton == 0) {

    // Count number of final state partons
    int nFinal = 0;
    for(int i=0; i < int(event.size()); ++i)
      if ( event[i].isFinal() && event[i].colType() != 0)
        nFinal++;

    // Get number of initial state partons in the list of
    // excluded partons
    int nExclude = int(exclude.size());
    int nInitExclude = 0;
    if (!event[exclude[2]].isFinal())
      nInitExclude++;
    if (!event[exclude[3]].isFinal())
      nInitExclude++;

    // If the whole final state has been considered, return
    if (nFinal == nExclude - nInitExclude)
      return true;
    else
      return false;

  }

  // Declare colour partner
  int colP = 0;
  // Save the colour partner
  colSinglet.push_back(iParton);
  // Remove the partner from the list
  exclude.push_back(iParton);
  // When starting out from a quark line, follow the colour lines
  if (flavType == 1)
    colP = getColPartner(iParton,event);
  // When starting out from an antiquark line, follow the anticolour lines
  else
    colP = getAcolPartner(iParton,event);

  // Do not count excluded partons twice
  for(int i = 0; i < int(exclude.size()); ++i)
    if (colP == exclude[i])
      return true;

  // Recurse
  return getColSinglet(flavType,colP,event,exclude,colSinglet);

}

//--------------------------------------------------------------------------

// Function to check that a set of partons forms a colour singlet
// IN  Event       : Reference event
// IN  vector : Positions of the partons in the set
// OUT bool        : Is a colour singlet / is not

bool History::isColSinglet( const Event& event,
  vector system ) {

  // Check if system forms a colour singlet
  for(int i=0; i < int(system.size()); ++i ) {
    // Match quark and gluon colours
    if ( system[i] > 0
      && (event[system[i]].colType() == 1
       || event[system[i]].colType() == 2) ) {
      for(int j=0; j < int(system.size()); ++j)
        // If flavour matches, remove both partons and continue
        if ( system[i] > 0
          && system[j] > 0
          && event[system[i]].col() == event[system[j]].acol()) {
          // Remove index and break
          system[i] = 0;
          system[j] = 0;
          break;
        }
    }
    // Match antiquark and gluon anticolours
    if ( system[i] > 0
      && (event[system[i]].colType() == -1
       || event[system[i]].colType() == 2) ) {
      for(int j=0; j < int(system.size()); ++j)
        // If flavour matches, remove both partons and continue
        if ( system[i] > 0
          && system[j] > 0
          && event[system[i]].acol() == event[system[j]].col()) {
          // Remove index and break
          system[i] = 0;
          system[j] = 0;
          break;
        }
    }

  }

  // The system is a colour singlet if for all colours,
  // an anticolour was found
  bool isColSing = true;
  for(int i=0; i < int(system.size()); ++i)
    if ( system[i] != 0 )
      isColSing = false;

  // Return
  return isColSing;


}

//--------------------------------------------------------------------------

// Function to check that a set of partons forms a flavour singlet
// IN  Event       : Reference event
// IN  vector : Positions of the partons in the set
// IN  int         : Flavour of all the quarks in the set, if
//                   all quarks in a set should have a fixed flavour
// OUT bool        : Is a flavour singlet / is not

bool History::isFlavSinglet( const Event& event,
  vector system, int flav) {

  // If a decoupled colour singlet has been found, check if this is also
  // a flavour singlet
  // Check that each quark matches an antiquark
  for(int i=0; i < int(system.size()); ++i)
    if ( system[i] > 0 ) {
      for(int j=0; j < int(system.size()); ++j) {
        // If flavour of outgoing partons matches,
        // remove both partons and continue.
        // Skip all bosons
        if ( event[i].idAbs() != 21
          && event[i].idAbs() != 22
          && event[i].idAbs() != 23
          && event[i].idAbs() != 24
          && system[i] > 0
          && system[j] > 0
          && event[system[i]].isFinal()
          && event[system[j]].isFinal()
          && event[system[i]].id() == -1*event[system[j]].id()) {
          // If we want to check if only one flavour of quarks
          // exists
          if (abs(flav) > 0 && event[system[i]].idAbs() != flav)
            return false;
          // Remove index and break
          system[i] = 0;
          system[j] = 0;
          break;
        }
        // If flavour of outgoing and incoming partons match,
        // remove both partons and continue.
        // Skip all bosons
        if ( event[i].idAbs() != 21
          && event[i].idAbs() != 22
          && event[i].idAbs() != 23
          && event[i].idAbs() != 24
          && system[i] > 0
          && system[j] > 0
          && ( ( !event[system[i]].isFinal() && event[system[j]].isFinal())
             ||( !event[system[j]].isFinal() && event[system[i]].isFinal()) )
          && event[system[i]].id() == event[system[j]].id()) {
          // If we want to check if only one flavour of quarks
          // exists
          if (abs(flav) > 0 && event[system[i]].idAbs() != flav)
            return false;
          // Remove index and break
          system[i] = 0;
          system[j] = 0;
          break;
        }

      }
    }

  // The colour singlet is a flavour singlet if for all quarks,
  // an antiquark was found
  bool isFlavSing = true;
  for(int i=0; i < int(system.size()); ++i)
    if ( system[i] != 0 )
      isFlavSing = false;

  // Return
  return isFlavSing;

}

//--------------------------------------------------------------------------

// Function to check if rad,emt,rec triple is allowed for clustering
// IN int rad,emt,rec : Positions (in event record) of the three
//                      particles considered for clustering
//    Event event     : Reference event
                 
bool History::allowedClustering( int rad, int emt, int rec, int partner,
                const Event& event ) {

  // Declare output
  bool allowed = true;

  // CONSTRUCT SOME PROPERTIES FOR LATER INVESTIGATION

  // Check if the triple forms a colour singlett
  bool isSing = isSinglett(rad,emt,partner,event);
  int type = (event[rad].isFinal()) ? 1 :-1;
  // Get flavour of radiator after potential clustering
  int radBeforeFlav = getRadBeforeFlav(rad,emt,event);
  // Get colours of the radiator before the potential clustering
  int radBeforeCol = getRadBeforeCol(rad,emt,event);
  int radBeforeAcl = getRadBeforeAcol(rad,emt,event);
  // Get colour partner of reclustered parton
  vector radBeforeColP = getReclusteredPartners(rad, emt, event);

  // Count coloured partons in hard process
  int nPartonInHard = 0;
  for(int i=0; i < int(event.size()); ++i)
    // Check all final state partons
    if ( event[i].isFinal()
      && event[i].colType() != 0
      && mergingHooksPtr->hardProcess.matchesAnyOutgoing(i, event) )
      nPartonInHard++;

  // Count coloured final state partons in event, excluding
  // rad, rec, emt and hard process
  int nPartons = 0;
  for(int i=0; i < int(event.size()); ++i)
    // Check all final state partons
    if ( i!=emt && i!=rad && i!=rec
      &&  event[i].isFinal()
      &&  event[i].colType() != 0
      && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i, event) )
      nPartons++;

  // Count number of initial state partons
  int nInitialPartons = 0;
  for(int i=0; i < int(event.size()); ++i)
    if ( event[i].status() == -21
      && event[i].colType() != 0 )
      nInitialPartons++;

  // Get number of non-charged final state particles
  int nFinalEW = 0;
  for(int i=0; i < int(event.size()); ++i)
    if ( event[i].isFinal()
      &&(  event[i].id() == 22
        || event[i].id() == 23
        || event[i].id() == 24
        ||(event[i].idAbs() > 10 && event[i].idAbs() < 20)
        ||(event[i].idAbs() > 10 && event[i].idAbs() < 20)
        ||(event[i].idAbs() > 1000010 && event[i].idAbs() < 1000020)
        ||(event[i].idAbs() > 2000010 && event[i].idAbs() < 2000020) ))
      nFinalEW++;

  // Check if event after potential clustering contains an even
  // number of quarks and/or antiquarks
  // (otherwise no electroweak vertex could be formed!)
  // Get number of final quarks
  int nFinalQuark = 0;
  // Get number of excluded final state quarks as well
  int nFinalQuarkExc = 0;
  for(int i=0; i < int(event.size()); ++i) {
    if (i !=rad && i != emt && i != rec) {
      if (event[i].isFinal() && abs(event[i].colType()) == 1 ) {
        if ( !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,event) )
          nFinalQuark++;
        else
          nFinalQuarkExc++;
      }
    }
  }

  // Add recoiler to number of final quarks
  if (event[rec].isFinal() && event[rec].isQuark()) nFinalQuark++;
  // Add radiator after clustering to number of final quarks
  if (event[rad].isFinal() && abs(radBeforeFlav) < 10) nFinalQuark++;

  // Get number of initial quarks
  int nInitialQuark = 0;
  if (type == 1) {
    if (event[rec].isFinal()) {
      if (event[3].isQuark()) nInitialQuark++;
      if (event[4].isQuark()) nInitialQuark++;
    } else {
      int iOtherIn = (rec == 3) ? 4 : 3;
      if (event[rec].isQuark()) nInitialQuark++;
      if (event[iOtherIn].isQuark()) nInitialQuark++;
    }
  } else {
    // Add recoiler to number of initial quarks
    if (event[rec].isQuark()) nInitialQuark++;
    // Add radiator after clustering to number of initial quarks
    if (abs(radBeforeFlav) < 10) nInitialQuark++;
  }

  // BEGIN CHECKING THE CLUSTERING

  // Do not allow clusterings that lead to a disallowed proton content.
  int proton[] = {1,2,3,4,5,21,22,23,24};
  bool isInProton = false;
  for(int i=0; i < 9; ++i)
    if (abs(radBeforeFlav) == proton[i]) isInProton = true;
  if (type == -1 && !isInProton) return false;

  // Check if colour is conserved
  vector unmatchedCol;
  vector unmatchedAcl;
  // Check all unmatched colours
  for ( int i = 0; i < event.size(); ++i)
    if ( i != emt && i != rad
      && (event[i].isFinal() || event[i].status() == -21)
      && event[i].colType() != 0 ) {

      int colP = getColPartner(i,event);
      int aclP = getAcolPartner(i,event);

      if (event[i].col() > 0
        && (colP == emt || colP == rad || colP == 0) )
        unmatchedCol.push_back(i);
      if (event[i].acol() > 0
        && (aclP == emt || aclP == rad || aclP == 0) )
        unmatchedAcl.push_back(i);

    }

  // If more than one colour or more than one anticolour are unmatched,
  // there is no way to make this clustering work
  if (int(unmatchedCol.size()) + int(unmatchedAcl.size()) > 2)
    return false;

  // If triple forms colour singlett, check that resulting state
  // matches hard core process
  if (isSing)
    allowed = false;
  if (isSing && (abs(radBeforeFlav)<10 && event[rec].isQuark()) )
    allowed = true;

  // Never recluster any outgoing partons of the core V -> qqbar' splitting!
  if ( mergingHooksPtr->hardProcess.matchesAnyOutgoing(emt,event) ) {
    // Check if any other particle could replace "emt" as part of the candidate
    // core process. If so, replace emt with the new candidate and allow the
    // clustering.
    bool canReplace = mergingHooksPtr->hardProcess.findOtherCandidates(emt,
                        event, true);
    if (canReplace) allowed = true;
    else allowed = false;
  }

  // Never allow clustering of any outgoing partons of the hard process
  // which would change the flavour of one of the hard process partons!
  if ( mergingHooksPtr->hardProcess.matchesAnyOutgoing(rad,event)
      && event[rad].id() != radBeforeFlav )
    allowed = false;

  // If only gluons in initial state and no quarks in final state,
  // reject (no electroweak vertex can be formed)
  if (nFinalEW != 0 && nInitialQuark == 0
    && nFinalQuark == 0 && nFinalQuarkExc == 0)
    allowed = false;

  if ( (nInitialQuark + nFinalQuark + nFinalQuarkExc)%2 != 0 )
    allowed = false;

  // Disallow final state splittings that lead to a purely gluonic final
  // state, while having a completely colour-connected initial state.
  // This means that the clustering is discarded if it does not lead to the
  // t-channel gluon needed to connect the final state to a qq~ initial state.
  // Here, partons excluded from clustering are not counted as possible
  // partners to form a t-channel gluon
  if (event[3].col() == event[4].acol()
    && event[3].acol() == event[4].col()
    && nFinalQuark == 0){
    // Careful if rad and rec are the only quarks in the final state, but
    // were both excluded from the list of final state quarks.
    int nTripletts = abs(event[rec].colType())
                   + abs(particleDataPtr->colType(radBeforeFlav));
    if (event[3].isGluon())                            allowed = false;
    else if (nTripletts != 2 && nFinalQuarkExc%2 == 0) allowed = false;
  }

  // No problems with gluon radiation
  if (event[emt].id() == 21)
    return allowed;

  // No problems with gluino radiation
  if (event[emt].id() == 1000021)
    return allowed;

  // Save all hard process candidates
  vector outgoingParticles;
  int nOut1 = int(mergingHooksPtr->hardProcess.PosOutgoing1.size());
  for ( int i=0; i < nOut1;  ++i ) {
    int iPos = mergingHooksPtr->hardProcess.PosOutgoing1[i];
    outgoingParticles.push_back(
                      mergingHooksPtr->hardProcess.state[iPos].id() );
  }
  int nOut2 = int(mergingHooksPtr->hardProcess.PosOutgoing2.size());
  for ( int i=0; i < nOut2; ++i ) {
    int iPos = mergingHooksPtr->hardProcess.PosOutgoing2[i];
    outgoingParticles.push_back(
                      mergingHooksPtr->hardProcess.state[iPos].id() );
  }

  // Start more involved checks. g -> q_1 qbar_1 splittings are
  // particularly problematic if more than one quark of the emitted
  // flavour is present.
  // Count number of initial quarks of radiator or emitted flavour
  vector iInQuarkFlav;
  for(int i=0; i < int(event.size()); ++i)
    // Check all initial state partons
    if ( i != emt && i != rad
      && event[i].status() == -21
      && event[i].idAbs() == event[emt].idAbs() )
      iInQuarkFlav.push_back(i);

  // Count number of final quarks of radiator or emitted flavour
  vector iOutQuarkFlav;
  for(int i=0; i < int(event.size()); ++i)
  // Check all final state partons
  if ( i != emt && i != rad
    && event[i].isFinal()
    && event[i].idAbs() == event[emt].idAbs() ) {

    // Loop through final state hard particles. If one matches, remove the
    // matching one, and do not count.
    bool matchOut = false;
    for (int j = 0; j < int(outgoingParticles.size()); ++j)
    if ( event[i].idAbs() == abs(outgoingParticles[j])) {
      matchOut = true;
      outgoingParticles[j] = 99;
    }
    if (!matchOut) iOutQuarkFlav.push_back(i);

  }

  // Save number of potentially dangerous quarks
  int nInQuarkFlav  = int(iInQuarkFlav.size());
  int nOutQuarkFlav = int(iOutQuarkFlav.size());

  // Easiest problem 0:
  // Radiator before splitting exactly matches the partner
  // after the splitting
  if ( event[partner].isFinal()
    && event[partner].id()   == 21
    && radBeforeFlav         == 21
    && event[partner].col()  == radBeforeCol
    && event[partner].acol() == radBeforeAcl)
    return false;

  // If there are no ambiguities in qqbar pairs, return
  if (nInQuarkFlav + nOutQuarkFlav == 0)
    return allowed;

  // Save all quarks and gluons that will not change colour
  vector gluon;
  vector quark;
  vector antiq;
  vector partons;
  for(int i=0; i < int(event.size()); ++i)
    // Check initial and final state partons
    if ( i!=emt && i!=rad
      && event[i].colType() != 0
      && (event[i].isFinal() || event[i].status() == -21) ) {
      // Save index
      partons.push_back(i);
      // Split into components
      if (event[i].colType() == 2)
        gluon.push_back(i);
      else if (event[i].colType() ==  1)
        quark.push_back(i);
      else if (event[i].colType() == -1)
        antiq.push_back(i);
    }

  // We split up the test of the g->qq splitting into final state
  // and initial state problems
  bool isFSRg2qq = ((type == 1) && (event[rad].id() == -1*event[emt].id()) );
  bool isISRg2qq = ((type ==-1) && (event[rad].id() ==    event[emt].id()) );

  // First check general things about colour connections
  // Check that clustering does not produce a gluon that is exactly
  // matched in the final state, or does not have any colour connections
  if ( (isFSRg2qq || isISRg2qq)
    && int(quark.size()) + int(antiq.size())
     + int(gluon.size()) > nPartonInHard ) {

      vector colours;
      vector anticolours;
      // Add the colour and anticolour of the gluon before the emission
      // to the list, bookkeep initial colour as final anticolour, and
      // initial anticolour as final colour
      if (type == 1) {
        colours.push_back(radBeforeCol);
        anticolours.push_back(radBeforeAcl);
      } else {
        colours.push_back(radBeforeAcl);
        anticolours.push_back(radBeforeCol);
      }
      // Now store gluon colours and anticolours.
      for(int i=0; i < int(gluon.size()); ++i)
        if (event[gluon[i]].isFinal()) {
          colours.push_back(event[gluon[i]].col());
          anticolours.push_back(event[gluon[i]].acol());
        } else {
          colours.push_back(event[gluon[i]].acol());
          anticolours.push_back(event[gluon[i]].col());
        }

      // Loop through colours and check if any match with
      // anticolours. If colour matches, remove from list
      for(int i=0; i < int(colours.size()); ++i)
        for(int j=0; j < int(anticolours.size()); ++j)
          if (colours[i] > 0 && anticolours[j] > 0
            && colours[i] == anticolours[j]) {
            colours[i] = 0;
            anticolours[j] = 0;
          }


      // If all gluon anticolours and all colours matched, disallow
      // the clustering
      bool allMatched = true;
      for(int i=0; i < int(colours.size()); ++i)
        if (colours[i] != 0)
          allMatched = false;
      for(int i=0; i < int(anticolours.size()); ++i)
        if (anticolours[i] != 0)
          allMatched = false;

      if (allMatched)
        return false;

      // Now add the colours of the hard process, and check if all
      // colours match.
      for(int i=0; i < int(quark.size()); ++i)
        if ( event[quark[i]].isFinal()
        && mergingHooksPtr->hardProcess.matchesAnyOutgoing(quark[i], event) )
          colours.push_back(event[quark[i]].col());

      for(int i=0; i < int(antiq.size()); ++i)
        if ( event[antiq[i]].isFinal()
        && mergingHooksPtr->hardProcess.matchesAnyOutgoing(antiq[i], event) )
          anticolours.push_back(event[antiq[i]].acol());

      // Loop through colours again and check if any match with
      // anticolours. If colour matches, remove from list
      for(int i=0; i < int(colours.size()); ++i)

        for(int j=0; j < int(anticolours.size()); ++j)
          if (colours[i] > 0 && anticolours[j] > 0
            && colours[i] == anticolours[j]) {
            colours[i] = 0;
            anticolours[j] = 0;
          }

      // Check if clustering would produce the hard process
      int nNotInHard = 0;
      for ( int i=0; i < int(quark.size()); ++i )
        if ( !mergingHooksPtr->hardProcess.matchesAnyOutgoing( quark[i],
              event) )
          nNotInHard++;
      for ( int i=0; i < int(antiq.size()); ++i )
        if ( !mergingHooksPtr->hardProcess.matchesAnyOutgoing( antiq[i],
              event) )
          nNotInHard++;
      for(int i=0; i < int(gluon.size()); ++i)
        if ( event[gluon[i]].isFinal() )
          nNotInHard++;
      if ( type == 1 )
          nNotInHard++;

      // If all colours are matched now, and since we have more quarks than
      // present in the hard process, disallow the clustering
      allMatched = true;
      for(int i=0; i < int(colours.size()); ++i)
        if (colours[i] != 0)
          allMatched = false;
      for(int i=0; i < int(anticolours.size()); ++i)
        if (anticolours[i] != 0)
          allMatched = false;

      if (allMatched && nNotInHard > 0)
        return false;

  }

  // FSR PROBLEMS

  if (isFSRg2qq && nInQuarkFlav + nOutQuarkFlav > 0) {

    // Easiest problem 1:
    // RECLUSTERED FINAL STATE GLUON MATCHES INITIAL STATE GLUON
    for(int i=0; i < int(gluon.size()); ++i) {
      if (!event[gluon[i]].isFinal()
        && event[gluon[i]].col()  == radBeforeCol
        && event[gluon[i]].acol() == radBeforeAcl)
        return false;
    }

    // Easiest problem 2:
    // RECLUSTERED FINAL STATE GLUON MATCHES FINAL STATE GLUON
    for(int i=0; i < int(gluon.size()); ++i) {
      if (event[gluon[i]].isFinal()
        && event[gluon[i]].col()  == radBeforeAcl
        && event[gluon[i]].acol() == radBeforeCol)
        return false;
    }

    // Easiest problem 3:
    // RECLUSTERED FINAL STATE GLUON MATCHES FINAL STATE Q-QBAR PAIR
    if ( int(radBeforeColP.size()) == 2
      && event[radBeforeColP[0]].isFinal()
      && event[radBeforeColP[1]].isFinal()
      && event[radBeforeColP[0]].id() == -1*event[radBeforeColP[1]].id() ) {

      // This clustering is allowed if there is no colour in the
      // initial state
      if (nInitialPartons > 0)
        return false;
    }

    // Next-to-easiest problem 1:
    // RECLUSTERED FINAL STATE GLUON MATCHES ONE FINAL STARE Q_1
    // AND ONE INITIAL STATE Q_1
    if ( int(radBeforeColP.size()) == 2
      && ((  event[radBeforeColP[0]].status() == -21
          && event[radBeforeColP[1]].isFinal())
        ||(  event[radBeforeColP[0]].isFinal()
          && event[radBeforeColP[1]].status() == -21))
      && event[radBeforeColP[0]].id() == event[radBeforeColP[1]].id() ) {

      // In principle, clustering this splitting can disconnect
      // the colour lines of a graph. However, the colours can be connected
      // again if a final or initial partons of the correct flavour exists.

      // Check which of the partners are final / initial
      int incoming = (event[radBeforeColP[0]].isFinal())
                   ? radBeforeColP[1] : radBeforeColP[0];
      int outgoing = (event[radBeforeColP[0]].isFinal())
                   ? radBeforeColP[0] : radBeforeColP[1];

      // Loop through event to find "recovery partons"
      bool clusPossible = false;
      for(int i=0; i < int(event.size()); ++i)
        if (  i != emt && i != rad
          &&  i != incoming && i != outgoing
          && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,event) ) {
          // Check if an incoming parton matches
          if ( event[i].status() == -21
            && (event[i].id() ==    event[outgoing].id()
              ||event[i].id() == -1*event[incoming].id()) )
          clusPossible = true;
          // Check if a final parton matches
          if ( event[i].isFinal()
            && (event[i].id() == -1*event[outgoing].id()
              ||event[i].id() ==    event[incoming].id()) )
          clusPossible = true;
        }

      // There can be a further complication: If e.g. in
      // t-channel photon exchange topologies, both incoming
      // partons are quarks, and form colour singlets with any
      // number of final state partons, at least try to
      // recluster as much as possible.
      // For this, check if the incoming parton
      // connected to the radiator is connected to a
      // colour and flavour singlet
      vector excludeIn1;
      for(int i=0; i < 4; ++i)
        excludeIn1.push_back(0);
      vector colSingletIn1;
      int flavIn1Type = (event[incoming].id() > 0) ? 1 : -1;
      // Try finding colour singlets
      bool isColSingIn1  = getColSinglet(flavIn1Type,incoming,event,
                             excludeIn1,colSingletIn1);
      // Check if colour singlet also is a flavour singlet
      bool isFlavSingIn1 = isFlavSinglet(event,colSingletIn1);

      // Check if the incoming parton not
      // connected to the radiator is connected to a
      // colour and flavour singlet
      int incoming2 = (incoming == 3) ? 4 : 3;
      vector excludeIn2;
      for(int i=0; i < 4; ++i)
        excludeIn2.push_back(0);
      vector colSingletIn2;
      int flavIn2Type = (event[incoming2].id() > 0) ? 1 : -1;
      // Try finding colour singlets
      bool isColSingIn2  = getColSinglet(flavIn2Type,incoming2,event,
                             excludeIn2,colSingletIn2);
      // Check if colour singlet also is a flavour singlet
      bool isFlavSingIn2 = isFlavSinglet(event,colSingletIn2);

      // If no "recovery clustering" is possible, reject clustering
      if (!clusPossible
        && (!isColSingIn1 || !isFlavSingIn1
         || !isColSingIn2 || !isFlavSingIn2))
        return false;

    }

    // Next-to-easiest problem 2:
    // FINAL STATE Q-QBAR CLUSTERING DISCONNECTS SINGLETT SUBSYSTEM WITH
    // FINAL STATE Q-QBAR PAIR FROM GRAPH

    // Prepare to check for colour singlet combinations of final state quarks
    // Start by building a list of partons to exclude when checking for
    // colour singlet combinations
    int flav = event[emt].id();
    vector exclude;
    exclude.push_back(emt);
    exclude.push_back(rad);
    exclude.push_back(radBeforeColP[0]);
    exclude.push_back(radBeforeColP[1]);
    vector colSinglet;
    // Now find parton from which to start checking colour singlets
    int iOther = -1;
    // Loop through event to find a parton of correct flavour
    for(int i=0; i < int(event.size()); ++i)
      // Check final state for parton equalling emitted flavour.
      // Exclude the colour system coupled to the clustering
      if ( i != emt
        && i != rad
        && i != radBeforeColP[0]
        && i != radBeforeColP[1]
        && event[i].isFinal() ) {
        // Stop if one parton of the correct flavour is found
        if (event[i].id() == flav) {
          iOther = i;
          break;
        }
      }
    // Save the type of flavour
    int flavType = (event[iOther].id() > 0) ? 1 : -1;
    // Try finding colour singlets
    bool isColSing = getColSinglet(flavType,iOther,event,exclude,colSinglet);
    // Check if colour singlet also is a flavour singlet
    bool isFlavSing = isFlavSinglet(event,colSinglet);

    // Check if the colour singlet is precisely contained in the hard process.
    // If so, then we're safe to recluster.
    bool isHardSys = true;
    for(int i=0; i < int(colSinglet.size()); ++i)
      isHardSys =
         mergingHooksPtr->hardProcess.matchesAnyOutgoing(colSinglet[i], event);

    // Nearly there...
    // If the decoupled colour singlet system is NOT contained in the hard
    // process, we need to check the whole final state.
    if (isColSing && isFlavSing && !isHardSys) {

      // In a final check, ensure that the final state does not only
      // consist of colour singlets that are also flavour singlets
      // of the identical (!) flavours
      // Loop through event and save all final state partons
      vector allFinal;
      for(int i=0; i < int(event.size()); ++i)
        if ( event[i].isFinal() )
          allFinal.push_back(i);

      // Check if all final partons form a colour singlet
      bool isFullColSing  = isColSinglet(event,allFinal);
      // Check if all final partons form a flavour singlet
      bool isFullFlavSing = isFlavSinglet(event,allFinal,flav);

      // If all final quarks are of identical flavour,
      // no possible clustering should be discriminated.
      // Otherwise, disallow
      if (!isFullColSing || !isFullFlavSing)
        return false;
    }
  }

  // ISR PROBLEMS

  if (isISRg2qq && nInQuarkFlav + nOutQuarkFlav > 0) {

    // Easiest problem 1:
    // RECLUSTERED INITIAL STATE GLUON MATCHES FINAL STATE GLUON
    for(int i=0; i < int(gluon.size()); ++i) {
      if (event[gluon[i]].isFinal()
        && event[gluon[i]].col()  == radBeforeCol
        && event[gluon[i]].acol() == radBeforeAcl)
        return false;
    }

    // Easiest problem 2:
    // RECLUSTERED INITIAL STATE GLUON MATCHES INITIAL STATE GLUON
    for(int i=0; i < int(gluon.size()); ++i) {
      if (event[gluon[i]].status() == -21
        && event[gluon[i]].acol()  == radBeforeCol
        && event[gluon[i]].col() == radBeforeAcl)
        return false;
    }

    // Next-to-easiest problem 1:
    // RECLUSTERED INITIAL STATE GLUON MATCHES FINAL STATE Q-QBAR PAIR
    if ( int(radBeforeColP.size()) == 2
      && event[radBeforeColP[0]].isFinal()
      && event[radBeforeColP[1]].isFinal()
      && event[radBeforeColP[0]].id() == -1*event[radBeforeColP[1]].id() ) {

      // In principle, clustering this splitting can disconnect
      // the colour lines of a graph. However, the colours can be connected
      // again if final state partons of the correct (anti)flavour, or
      // initial state partons of the correct flavour exist
      // Loop through event to check
      bool clusPossible = false;
      for(int i=0; i < int(event.size()); ++i)
        if ( i != emt && i != rad
          && i != radBeforeColP[0]
          && i != radBeforeColP[1]
          && !mergingHooksPtr->hardProcess.matchesAnyOutgoing(i,event) ) {
          if (event[i].status() == -21
            && ( event[radBeforeColP[0]].id() == event[i].id()
              || event[radBeforeColP[1]].id() == event[i].id() ))

            clusPossible = true;
          if (event[i].isFinal()
            && ( event[radBeforeColP[0]].id() == -1*event[i].id()
              || event[radBeforeColP[1]].id() == -1*event[i].id() ))
            clusPossible = true;
        }

      // There can be a further complication: If e.g. in
      // t-channel photon exchange topologies, both incoming
      // partons are quarks, and form colour singlets with any
      // number of final state partons, at least try to
      // recluster as much as possible.
      // For this, check if the incoming parton
      // connected to the radiator is connected to a
      // colour and flavour singlet
      int incoming1 = 3;
      vector excludeIn1;
      for(int i=0; i < 4; ++i)
        excludeIn1.push_back(0);
      vector colSingletIn1;
      int flavIn1Type = (event[incoming1].id() > 0) ? 1 : -1;
      // Try finding colour singlets
      bool isColSingIn1  = getColSinglet(flavIn1Type,incoming1,event,
                             excludeIn1,colSingletIn1);
      // Check if colour singlet also is a flavour singlet
      bool isFlavSingIn1 = isFlavSinglet(event,colSingletIn1);

      // Check if the incoming parton not
      // connected to the radiator is connected to a
      // colour and flavour singlet
      int incoming2 = 4;
      vector excludeIn2;
      for(int i=0; i < 4; ++i)
        excludeIn2.push_back(0);
      vector colSingletIn2;
      int flavIn2Type = (event[incoming2].id() > 0) ? 1 : -1;
      // Try finding colour singlets
      bool isColSingIn2  = getColSinglet(flavIn2Type,incoming2,event,
                             excludeIn2,colSingletIn2);
      // Check if colour singlet also is a flavour singlet
      bool isFlavSingIn2 = isFlavSinglet(event,colSingletIn2);

      // If no "recovery clustering" is possible, reject clustering
      if (!clusPossible
        && (!isColSingIn1 || !isFlavSingIn1
         || !isColSingIn2 || !isFlavSingIn2))
        return false;

    }

  }

  // Done
  return allowed;
}

//--------------------------------------------------------------------------

// Function to check if rad,emt,rec triple is results in
// colour singlet radBefore+recBefore
// IN int rad,emt,rec : Positions (in event record) of the three
//                      particles considered for clustering
//    Event event     : Reference event
                
bool History::isSinglett( int rad, int emt, int rec, const Event& event ) {

  int radCol = event[rad].col();
  int emtCol = event[emt].col();
  int recCol = event[rec].col();
  int radAcl = event[rad].acol();
  int emtAcl = event[emt].acol();
  int recAcl = event[rec].acol();
  int recType = event[rec].isFinal() ? 1 : -1;

  bool isSing = false;

  if ( ( recType == -1
       && radCol + emtCol == recCol && radAcl + emtAcl == recAcl)
    ||( recType == 1
       && radCol + emtCol == recAcl && radAcl + emtAcl == recCol) )
    isSing = true;

  return isSing;

}

//--------------------------------------------------------------------------

// Function to check if event is sensibly constructed: Meaning
// that all colour indices are contracted and that the charge in
// initial and final states matches
// IN  event : event to be checked
// OUT TRUE  : event is properly construced
//     FALSE : event not valid

bool History::validEvent( const Event& event ) {

  // Check if event is coloured
  bool validColour = true;
  for ( int i = 0; i < event.size(); ++i)
   // Check colour of quarks
   if ( event[i].isFinal() && event[i].colType() == 1
          // No corresponding anticolour in final state
       && ( FindCol(event[i].col(),i,0,event,1,true) == 0
          // No corresponding colour in initial state
         && FindCol(event[i].col(),i,0,event,2,true) == 0 )) {
     validColour = false;
     break;
   // Check anticolour of antiquarks
   } else if ( event[i].isFinal() && event[i].colType() == -1
          // No corresponding colour in final state
       && ( FindCol(event[i].acol(),i,0,event,2,true) == 0
          // No corresponding anticolour in initial state
         && FindCol(event[i].acol(),i,0,event,1,true) == 0 )) {
     validColour = false;
     break;
   // No uncontracted colour (anticolour) charge of gluons
   } else if ( event[i].isFinal() && event[i].colType() == 2
          // No corresponding anticolour in final state
       && ( FindCol(event[i].col(),i,0,event,1,true) == 0
          // No corresponding colour in initial state
         && FindCol(event[i].col(),i,0,event,2,true) == 0 )
          // No corresponding colour in final state
       && ( FindCol(event[i].acol(),i,0,event,2,true) == 0
          // No corresponding anticolour in initial state
         && FindCol(event[i].acol(),i,0,event,1,true) == 0 )) {
     validColour = false;
     break;
   }

  // Check charge sum in initial and final state
  bool validCharge = true;
  double initCharge = event[3].charge() + event[4].charge();
  double finalCharge = 0.0;
  for(int i = 0; i < event.size(); ++i)
    if (event[i].isFinal()) finalCharge += event[i].charge();
  if (abs(initCharge-finalCharge) > 1e-12) validCharge = false;

  return (validColour && validCharge);

}

//--------------------------------------------------------------------------

// Function to check whether two clusterings are identical, used
// for finding the history path in the mother -> children direction

bool History::equalClustering( Clustering clus1 , Clustering clus2 ) {
  return (  (clus1.emittor  == clus2.emittor)
         && (clus1.emitted  == clus2.emitted)
         && (clus1.recoiler == clus2.recoiler)
         && (clus1.partner  == clus2.partner)
         && (clus1.pT()    == clus2.pT()) );
}

//--------------------------------------------------------------------------

// Chose dummy scale for event construction. By default, choose
//     sHat     for 2->Boson(->2)+ n partons processes and
//     M_Boson  for 2->Boson(->)             processes

double History::choseHardScale( const Event& event ) const {

  // Get sHat
  double mHat = (event[3].p() + event[4].p()).mCalc();

  // Find number of final state particles and bosons
  int nFinal = 0;
  int nFinBos= 0;
  int nBosons= 0;
  double mBos = 0.0;
  for(int i = 0; i < event.size(); ++i)
    if ( event[i].isFinal() ) {
      nFinal++;
      // Remember final state unstable bosons
      if ( event[i].idAbs() == 23
        || event[i].idAbs() == 24 ) {
          nFinBos++;
          nBosons++;
          mBos += event[i].m();
      }
    } else if ( abs(event[i].status()) == 22
             && (  event[i].idAbs() == 23
                || event[i].idAbs() == 24 )) {
      nBosons++;
      mBos += event[i].m(); // Real mass
    }

  // Return averaged boson masses
  if ( nBosons > 0 && (nFinal + nFinBos*2) <= 3)
    return (mBos / double(nBosons));
  else return
    mHat;
}


//--------------------------------------------------------------------------

// If the state has an incoming hadron return the flavour of the
// parton entering the hard interaction. Otherwise return 0

int History::getCurrentFlav(const int side) const {
  int in = (side == 1) ? 3 : 4;
  return state[in].id();
}

//--------------------------------------------------------------------------

double History::getCurrentX(const int side) const {
  int in = (side == 1) ? 3 : 4;
  return ( 2.*state[in].e()/state[0].e() );
}

//--------------------------------------------------------------------------

double History::getCurrentZ(const int rad,
  const int rec, const int emt) const {

  int type = state[rad].isFinal() ? 1 : -1;
  double z = 0.;

  if (type == 1) {
    // Construct 2->3 variables for FSR
    Vec4   sum     = state[rad].p() + state[rec].p()
                   + state[emt].p();
    double m2Dip = sum.m2Calc();
    double x1 = 2. * (sum * state[rad].p()) / m2Dip;
    double x3 = 2. * (sum * state[emt].p()) / m2Dip;
    // Calculate z of splitting, different for FSR
    z = x1/(x1+x3);
  } else {
    // Construct momenta of dipole before/after splitting for ISR
    Vec4 qBR(state[rad].p() - state[emt].p() + state[rec].p());
    Vec4 qAR(state[rad].p() + state[rec].p());
    // Calculate z of splitting, different for ISR
    z = (qBR.m2Calc())/( qAR.m2Calc());
  }

  return z;

}

//--------------------------------------------------------------------------

// Function to compute "pythia pT separation" from Particle input

double History::pTLund(const Particle& RadAfterBranch,
              const Particle& EmtAfterBranch,
              const Particle& RecAfterBranch, int ShowerType) {

  // Save type: 1 = FSR pT definition, else ISR definition
  int Type   = ShowerType;
  // Calculate virtuality of splitting
  int sign = (Type==1) ? 1 : -1;
  Vec4 Q(RadAfterBranch.p() + sign*EmtAfterBranch.p());
  double Qsq = sign * Q.m2Calc();
  // Mass term of radiator: Consider all non-light quark or gluon radiators
  // massive partons.
  bool isMassive = ( RadAfterBranch.idAbs() >= 4
                  && RadAfterBranch.id() != 21 );
  double m2Rad   = ( mergingHooksPtr->includeMassive() && isMassive )
                 ? pow2( particleDataPtr->m0(RadAfterBranch.id()) ) : 0.;
  // Construct 2->3 variables for FSR
  Vec4   sum     = RadAfterBranch.p() + RecAfterBranch.p()
                 + EmtAfterBranch.p();
  double m2Dip = sum.m2Calc();
  double x1 = 2. * (sum * RadAfterBranch.p()) / m2Dip;
  double x3 = 2. * (sum * EmtAfterBranch.p()) / m2Dip;
  // Construct momenta of dipole before/after splitting for ISR
  Vec4 qBR(RadAfterBranch.p() - EmtAfterBranch.p() + RecAfterBranch.p());
  Vec4 qAR(RadAfterBranch.p() + RecAfterBranch.p());
  // Calculate z of splitting, different for FSR and ISR

  double z = (Type==1) ? x1/(x1+x3)
                     : (qBR.m2Calc())/( qAR.m2Calc());
  // Separation of splitting, different for FSR and ISR
  double pTpyth = (Type==1) ? z*(1.-z) : (1.-z);
  // pT^2 = separation*virtuality
  pTpyth *= (Qsq - sign*m2Rad);
  if ( pTpyth < 0. ) pTpyth = 0.;

  // Return pT
  return sqrt(pTpyth);
}

//--------------------------------------------------------------------------

// Function to return the position of the initial line before (or after)
// a single (!) splitting.

int History::posChangedIncoming(const Event& event, bool before) {

  // Check for initial state splittings.
  // Consider a splitting to exist if both mother and sister were found.
  // Find sister
  int iSister = 0;
  for (int i =0; i < event.size(); ++i)
    if (event[i].status() == 43) {
      iSister = i;
      break;
    }
  // Find mother
  int iMother = 0;
  if (iSister > 0) iMother = event[iSister].mother1();

  // Initial state splitting has been found.
  if (iSister > 0 && iMother > 0) {

    // Find flavour, mother flavour
    int flavSister  = event[iSister].id();
    int flavMother  = event[iMother].id();

    // Find splitting flavour
    int flavDaughter = 0;
    if ( abs(flavMother) < 21 && flavSister     == 21)
      flavDaughter = flavMother;
    else if ( flavMother     == 21 && flavSister     == 21)
      flavDaughter = flavMother;
    else if ( flavMother     == 21 && abs(flavSister) < 21)
      flavDaughter = -1*flavSister;
    else if ( abs(flavMother) < 21 && abs(flavSister) < 21)
      flavDaughter = 21;

    // Find initial state (!) daughter
    int iDaughter = 0;
    for (int i =0; i < event.size(); ++i)
      if ( !event[i].isFinal()
        && event[i].mother1() == iMother
        && event[i].id()      == flavDaughter )
        iDaughter = i;

    // Done for initial state splitting.
    if ( !before ) return iMother;
    else return iDaughter;

  }

  // Check for final state splittings with initial state recoiler.
  // Consider a splitting to exist if both mother and daughter were found.
  // Find new mother
  iMother = 0;
  for (int i =0; i < event.size(); ++i)
    if ( abs(event[i].status()) == 53 || abs(event[i].status()) == 54) {
      iMother = i;
      break;
    }
  // Find daughter
  int iDaughter = 0;
  if (iMother > 0) iDaughter = event[iMother].daughter1();

  // Done if final state splitting has been found.
  if (iDaughter > 0 && iMother > 0) {

    // Done for final state splitting.
    if ( !before ) return iMother;
    else return iDaughter;

  }

  // If no splitting has been found, return zero.
  return 0;

}

//--------------------------------------------------------------------------

// Function to give back the ratio of PDFs and PDF * splitting kernels needed
// to convert a splitting at scale pdfScale, chosen with running PDFs, to a
// splitting chosen with PDFs at a fixed scale mu. As needed to properly count
// emissions.

double History::pdfFactor( const Event& event, const int type,
  double pdfScale, double mu ) {

  double weight = 1.;

  // Final state splittings
  if (type >= 3) {

    // Find new mother
    int iMother = 0;
    for (int i =0; i < event.size(); ++i)
      if ( abs(event[i].status()) == 53 || abs(event[i].status()) == 54) {
        iMother = i;
        break;
      }
    int flavMother = event[iMother].id();

    // Done if no initial state recoiler was found
    if ( iMother == 0 ) return 1.;

    // Find daughter
    int iDaughter    = event[iMother].daughter1();
    int flavDaughter = event[iDaughter].id();

    // Find x values
    double xMother = 2.*event[iMother].e() / event[0].e();
    double xDaughter = 2.*event[iDaughter].e() / event[0].e();

    // Calculate PDF ratios

    int sideSplit = ( event[iMother].pz() > 0.) ? 1 : -1;
    double pdfDen1, pdfDen2, pdfNum1, pdfNum2;
    pdfDen1 = pdfDen2 = pdfNum1 = pdfNum2 = 1.;
    if ( sideSplit == 1 ) {
      // Find PDFs
      pdfDen1 = max(1e-15,beamA.xfISR(0, flavDaughter, xDaughter, pow2(mu)) );
      pdfNum1 = beamA.xfISR(0, flavDaughter, xDaughter, pow2(pdfScale) );
      pdfNum2 = beamA.xfISR(0, flavMother, xMother, pow2(mu) );
      pdfDen2 = max(1e-15,beamA.xfISR(0,flavMother, xMother, pow2(pdfScale)) );
    } else {
      // Find PDFs
      pdfDen1 = max(1e-15,beamB.xfISR(0, flavDaughter, xDaughter, pow2(mu)) );
      pdfNum1 = beamB.xfISR(0, flavDaughter, xDaughter, pow2(pdfScale) );
      pdfNum2 = beamB.xfISR(0, flavMother, xMother, pow2(mu) );
      pdfDen2 = max(1e-15,beamB.xfISR(0,flavMother, xMother, pow2(pdfScale)) );
    }

    // The magnitude of the PDF ratio in FSR is limited to one. If that was
    // the case, return one.
    if ( pdfDen2/pdfNum1 > 1. ) return 1.;

    // Calculate PDF weight to reweight emission to emission evaluated at
    // constant factorisation scale. No need to include the splitting kernel in
    // the weight, since it will drop out anyway.
    weight = (pdfNum1/pdfDen1) * (pdfNum2)/(pdfDen2);

  // Initial state splittings
  } else if (type == 2) {

    // Find sister
    int iSister = 0;
    for (int i =0; i < event.size(); ++i)
      if (event[i].status() == 43) {
        iSister = i;
        break;
      }
    int flavSister = event[iSister].id();

    // Find mother
    int iMother    = event[iSister].mother1();
    int flavMother = event[iMother].id();

    // Find splitting flavour
    int flavDaughter = 0;
    if ( abs(flavMother) < 21 && flavSister     == 21)
      flavDaughter = flavMother;
    else if ( flavMother     == 21 && flavSister     == 21)
      flavDaughter = flavMother;
    else if ( flavMother     == 21 && abs(flavSister) < 21)
      flavDaughter = -1*flavSister;
    else if ( abs(flavMother) < 21 && abs(flavSister) < 21)
      flavDaughter = 21;

    // Find x values
    double xMother = 2.*event[iMother].e() / event[0].e();

    // Find initial state (!) daughter
    int iDaughter = 0;
    for (int i =0; i < event.size(); ++i)
      if ( !event[i].isFinal()
        && event[i].mother1() == iMother
        && event[i].id()      == flavDaughter )
        iDaughter = i;
    double xDaughter = 2.*event[iDaughter].e() / event[0].e();

    // Calculate PDF weight to reweight emission to emission evaluated at
    // constant factorisation scale. No need to include the splitting kernel
    // in the weight, since it will drop out anyway.
    int sideSplit = ( event[iMother].pz() > 0.) ? 1 : -1;
    double ratio1 = getPDFratio( sideSplit, false, false, flavDaughter,
                      xDaughter, pdfScale, flavDaughter, xDaughter, mu );
    double ratio2 = getPDFratio( sideSplit, false, false, flavMother,
                      xMother, mu, flavMother, xMother, pdfScale );

    weight = ratio1*ratio2;

  // Do nothing for MPI
  } else {
    weight = 1.;
  }

  // Done
  return weight;
}

//--------------------------------------------------------------------------

// Function giving the product of splitting kernels and PDFs so that the
// resulting flavour is given by flav. This is used as a helper routine
// to dgauss

double History::integrand(int flav, double x, double scaleInt, double z) {

  // Declare constants
  double CF = 4./3.;
  double TR = 1./2.;
  double CA = 3.;

  double result = 0.;

  // Integrate NLL sudakov remainder
  if (flav==0) {

    AlphaStrong* as = mergingHooksPtr->AlphaS_ISR();
    double asNow = (*as).alphaS(z);
    result = 1./z *asNow*asNow* ( log(scaleInt/z) -3./2. );

  // Integrand for PDF ratios. Careful about factors if 1/z, since formulae
  // are expressed in terms if f(x,mu), while Pythia uses x*f(x,mu)!
  } else if (flav==21) {

    double measure1 = 1./(1. - z);
    double measure2 = 1.;

    double integrand1 =
      2.*CA
      * z * beamB.xf( 21,x/z,pow(scaleInt,2))
          / beamB.xf( 21,x,  pow(scaleInt,2))
    - 2.*CA;
    
    double integrand2 =
      // G -> G terms
      2.*CA  *((1. -z)/z + z*(1.-z))
      * beamB.xf( 21,x/z,pow(scaleInt,2))
      / beamB.xf( 21,x,  pow(scaleInt,2))
      // G -> Q terms
    + CF * ((1+pow(1-z,2))/z)
      *( beamB.xf(  1, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf( -1, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf(  2, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf( -2, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf(  3, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf( -3, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf(  4, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2))
       + beamB.xf( -4, x/z,pow(scaleInt,2))
       / beamB.xf( 21, x,  pow(scaleInt,2)) );

    // Done
    result = integrand1*measure1 + integrand2*measure2;

  } else {

    double measure1 = 1./(1. -z);
    double measure2 = 1.;

    // Q -> Q terms
    double integrand1 =
      CF * (1+pow(z,2))
      * beamB.xf( flav, x/z, pow(scaleInt,2))
      / beamB.xf( flav, x,   pow(scaleInt,2))
    - 2.*CF;

    // Q -> G terms
    double integrand2 =
    + TR * (pow(z,2) + pow(1-z,2))
      * beamB.xf( 21,   x/z, pow(scaleInt,2))
      / beamB.xf( flav, x,   pow(scaleInt,2));

    // Done
    result = measure1*integrand1 + measure2*integrand2;
  }

  return result;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/FragmentationSystems.cc0000644000175000017500000004453412357054761017647 0ustar  sunsun// FragmentationSystems.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// ColConfig, StringRegion and StringSystem classes.

#include "Pythia8/FragmentationSystems.h"

namespace Pythia8 {

//==========================================================================

// The ColConfig class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// A typical u/d constituent mass.
const double ColConfig::CONSTITUENTMASS = 0.325;

//--------------------------------------------------------------------------

// Initialize and save pointers.

void ColConfig::init(Info* infoPtrIn, Settings& settings,
  StringFlav* flavSelPtrIn) {

  // Save pointers.
  infoPtr       = infoPtrIn;
  flavSelPtr    = flavSelPtrIn;

  // Joining of nearby partons along the string.
  mJoin         = settings.parm("FragmentationSystems:mJoin");

  // For consistency ensure that mJoin is bigger than in StringRegion.
  mJoin         = max( mJoin, 2. * StringRegion::MJOIN);

  // Simplification of q q q junction topology to quark - diquark one.
  mJoinJunction = settings.parm("FragmentationSystems:mJoinJunction");
  mStringMin    = settings.parm("HadronLevel:mStringMin");

}

//--------------------------------------------------------------------------

// Insert a new colour singlet system in ascending mass order.
// Calculate its properties. Join nearby partons.

bool ColConfig::insert( vector& iPartonIn, Event& event) {

  // Find momentum and invariant mass of system, minus endpoint masses.
  Vec4 pSumIn;
  double mSumIn = 0.;
  bool hasJunctionIn = false;
  int  nJunctionLegs = 0;
  for (int i = 0; i < int(iPartonIn.size()); ++i) {
    if (iPartonIn[i] < 0) {
      hasJunctionIn = true;
      ++nJunctionLegs;
    } else {
      pSumIn += event[ iPartonIn[i] ].p();
      if (!event[ iPartonIn[i] ].isGluon())
        mSumIn += event[ iPartonIn[i] ].constituentMass();
    }
  }
  double massIn = pSumIn.mCalc();
  double massExcessIn = massIn - mSumIn;

  // Check for rare triple- and higher junction systems (like J-Jbar-J)
  if (nJunctionLegs >= 5) {
    infoPtr->errorMsg("Error in ColConfig::insert: "
      "junction topology too complicated; too many junction legs");
    return false;
  }
  // Check that junction systems have at least three legs.
  else if (nJunctionLegs > 0 && nJunctionLegs <= 2) {
    infoPtr->errorMsg("Error in ColConfig::insert: "
      "junction topology inconsistent; too few junction legs");
    return false;
  }

  // Check that momenta do not contain not-a-number.
  if (abs(massExcessIn) >= 0.);
  else {
    infoPtr->errorMsg("Error in ColConfig::insert: "
      "not-a-number system mass");
    return false;
  }

  // Identify closed gluon loop. Assign "endpoint" masses as light quarks.
  bool isClosedIn = (iPartonIn[0] >= 0 && event[ iPartonIn[0] ].col() != 0
    && event[ iPartonIn[0] ].acol() != 0 );
  if (isClosedIn) massExcessIn -= 2. * CONSTITUENTMASS;

  // For junction topology: join two nearby legs into a diquark.
  if (hasJunctionIn && joinJunction( iPartonIn, event, massExcessIn))
    hasJunctionIn = false;

  // Loop while > 2 partons left and hope of finding joining pair.
  bool hasJoined = true;
  while (hasJoined && iPartonIn.size() > 2) {

    // Look for the pair of neighbour partons (along string) with
    // the smallest invariant mass (subtracting quark masses).
    int iJoinMin = -1;
    double mJoinMin = 2. * mJoin;
    int nSize = iPartonIn.size();
    int nPair = (isClosedIn) ? nSize : nSize - 1;
    for (int i = 0; i < nPair; ++i) {
      // Keep three legs of junction separate.
      if (iPartonIn[i] < 0 || iPartonIn[(i + 1)%nSize] < 0) continue;
      Particle& parton1 = event[ iPartonIn[i] ];
      Particle& parton2 = event[ iPartonIn[(i + 1)%nSize] ];
      // Avoid joining non-partons, e.g. gluino/squark for R-hadron.
      if (!parton1.isParton() || !parton2.isParton()) continue;
      Vec4 pSumNow;
      pSumNow += (parton1.isGluon()) ? 0.5 * parton1.p() : parton1.p();
      pSumNow += (parton2.isGluon()) ? 0.5 * parton2.p() : parton2.p();
      double mJoinNow = pSumNow.mCalc();
      if (!parton1.isGluon()) mJoinNow -= parton1.m();
      if (!parton2.isGluon()) mJoinNow -= parton2.m();
      if (mJoinNow < mJoinMin) { iJoinMin = i; mJoinMin = mJoinNow; }
    }

    // If sufficiently nearby then join into one new parton.
    // Note: error sensitivity to mJoin indicates unstable precedure??
    hasJoined = false;
    if (mJoinMin < mJoin) {
      int iJoin1  = iPartonIn[iJoinMin];
      int iJoin2  = iPartonIn[(iJoinMin + 1)%nSize];
      int idNew   = (event[iJoin1].isGluon()) ? event[iJoin2].id()
                                              : event[iJoin1].id();
      int iMoth1  = min(iJoin1, iJoin2);
      int iMoth2  = max(iJoin1, iJoin2);
      // When g + q -> q flip to ensure that mother1 = q.
      if (event[iMoth1].id() == 21 && event[iMoth2].id() != 21)
        swap( iMoth1, iMoth2);
      int colNew  = event[iJoin1].col();
      int acolNew = event[iJoin2].acol();
      if (colNew == acolNew) {
        colNew    = event[iJoin2].col();
        acolNew   = event[iJoin1].acol();
      }
      Vec4 pNew   = event[iJoin1].p() + event[iJoin2].p();

      // Append joined parton to event record.
      int iNew = event.append( idNew, 73, iMoth1, iMoth2, 0, 0, 
        colNew, acolNew, pNew, pNew.mCalc() );

      // Displaced lifetime/vertex; mothers should be same but prefer quark.
      int iVtx = (event[iJoin1].isGluon()) ? iJoin2 : iJoin1;
      event[iNew].tau( event[iVtx].tau() );
      if (event[iVtx].hasVertex()) event[iNew].vProd( event[iVtx].vProd() );

      // Mark joined partons and reduce remaining system.
      event[iJoin1].statusNeg();
      event[iJoin2].statusNeg();
      event[iJoin1].daughter1(iNew);
      event[iJoin2].daughter1(iNew);
      if (iJoinMin == nSize - 1) iPartonIn[0] = iNew;
      else {
        iPartonIn[iJoinMin] = iNew;
        for (int i = iJoinMin + 1; i < nSize - 1; ++i)
          iPartonIn[i] = iPartonIn[i + 1];
      }
      iPartonIn.pop_back();

      // If joined,then loopback to look for more.
      hasJoined = true;
    }
  }

  // Store new colour singlet system at the end.
  singlets.push_back( ColSinglet(iPartonIn, pSumIn, massIn,
    massExcessIn, hasJunctionIn, isClosedIn) );

  // Now move around, so that smallest mass excesses come first.
  int iInsert = singlets.size() - 1;
  for (int iSub = singlets.size() - 2; iSub >= 0; --iSub) {
    if (massExcessIn > singlets[iSub].massExcess) break;
    singlets[iSub + 1] = singlets[iSub];
    iInsert = iSub;
  }
  if (iInsert < int(singlets.size()) - 1) singlets[iInsert] =
    ColSinglet(iPartonIn, pSumIn, massIn, massExcessIn,
    hasJunctionIn, isClosedIn);

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Join two legs of junction to a diquark for small invariant masses.
// Note: for junction system, iPartonIn points to structure
// (-code0) g...g.q0 (-code1) g...g.q1 (-code2) g...g.q2

bool ColConfig::joinJunction( vector& iPartonIn, Event& event,
  double massExcessIn) {

  // Find four-momentum and endpoint quarks and masses on the three legs.
  Vec4   pLeg[3];
  double mLeg[3] = { 0., 0., 0.};
  int    idAbsLeg[3];
  int leg = -1;
  for (int i = 0; i < int(iPartonIn.size()); ++ i) {
    if (iPartonIn[i] < 0) ++leg;
    else {
      pLeg[leg]    += event[ iPartonIn[i] ].p();
      mLeg[leg]     = event[ iPartonIn[i] ].m();
      idAbsLeg[leg] = event[ iPartonIn[i] ].idAbs();
    }
  }

  // Calculate invariant mass of three pairs, minus endpoint masses.
  double m01  = (pLeg[0] + pLeg[1]).mCalc() - mLeg[0] - mLeg[1];
  double m02  = (pLeg[0] + pLeg[2]).mCalc() - mLeg[0] - mLeg[2];
  double m12  = (pLeg[1] + pLeg[2]).mCalc() - mLeg[1] - mLeg[2];
  
  // Find lowest-mass pair not involving diquark.
  double mMin = mJoinJunction + 1.;
  int    legA = -1;
  int    legB = -1;
  if (m01 < mMin && idAbsLeg[0] < 9 && idAbsLeg[1] < 9) {
    mMin = m01;
    legA = 0;
    legB = 1;
  }
  if (m02 < mMin && idAbsLeg[0] < 9 && idAbsLeg[2] < 9) {
    mMin = m02;
    legA = 0;
    legB = 2;
  }
  if (m12 < mMin && idAbsLeg[1] < 9 && idAbsLeg[2] < 9) {
    mMin = m12;
    legA = 1;
    legB = 2;
  }
  int legC = 3 - legA - legB;

  // Nothing to do if no two legs have small invariant mass, and
  // system as a whole is above MiniStringFragmentation threshold.
  if (legA == -1 || (mMin > mJoinJunction && massExcessIn > mStringMin))
    return false;

  // Construct separate index arrays for the three legs.
  vector iLegA, iLegB, iLegC;
  leg = -1;
  for (int i = 0; i < int(iPartonIn.size()); ++ i) {
    if (iPartonIn[i] < 0) ++leg;
    else if( leg == legA) iLegA.push_back( iPartonIn[i] );
    else if( leg == legB) iLegB.push_back( iPartonIn[i] );
    else if( leg == legC) iLegC.push_back( iPartonIn[i] );
  }
 
  // First step: successively combine any gluons on the two legs.
  // (Presumably overkill; not likely to be (m)any extra gluons.)
  // (Do as successive binary joinings, so only need two mothers.)
  for (leg = 0; leg < 2; ++leg) {
    vector& iLegNow = (leg == 0) ? iLegA : iLegB;
    int sizeNow = iLegNow.size();
    for (int i = sizeNow - 2; i >= 0; --i) {
      int iQ = iLegNow.back();
      int iG = iLegNow[i];
      int colNew = (event[iQ].id() > 0) ? event[iG].col() : 0;
      int acolNew = (event[iQ].id() < 0) ? event[iG].acol() : 0;
      Vec4 pNew = event[iQ].p() + event[iG].p();
      int iNew = event.append( event[iQ].id(), 74, iQ, iG, 0, 0, 
        colNew, acolNew, pNew, pNew.mCalc() );

      // Mark joined partons and update iLeg end.
      event[iQ].statusNeg();
      event[iG].statusNeg();
      event[iQ].daughter1(iNew);
      event[iG].daughter1(iNew);
      iLegNow.back() = iNew;
    }
  }

  // Second step: combine two quarks into a diquark.
  int iQA     = iLegA.back();
  int iQB     = iLegB.back();
  int idQA    = event[iQA].id();
  int idQB    = event[iQB].id();
  int idNew   = flavSelPtr->makeDiquark( idQA, idQB );
  // Diquark colour is opposite to parton closest to junction on third leg.
  int colNew  = (idNew > 0) ? 0 : event[ iLegC[0] ].acol();
  int acolNew = (idNew > 0) ? event[ iLegC[0] ].col() : 0;
  Vec4 pNew   = pLeg[legA] + pLeg[legB];
  int iNew    = event.append( idNew, 74, min(iQA, iQB), max( iQA, iQB),
     0, 0, colNew, acolNew, pNew, pNew.mCalc() );
 
  // Mark joined partons and reduce remaining system.
  event[iQA].statusNeg();
  event[iQB].statusNeg();
  event[iQA].daughter1(iNew);
  event[iQB].daughter1(iNew);
  iPartonIn.resize(0);
  iPartonIn.push_back( iNew);
  for (int i = 0; i < int(iLegC.size()) ; ++i)
    iPartonIn.push_back( iLegC[i]);

  // Remove junction from event record list, identifying by colour.
  int iJun = -1;
  for (int i = 0; i < event.sizeJunction(); ++i)
    for (int j = 0; j < 3; ++ j)
      if ( event.colJunction(i,j) == max(colNew, acolNew) ) iJun = i;
  if (iJun >= 0) event.eraseJunction(iJun);

  // Done, having eliminated junction.
  return true;

}

//--------------------------------------------------------------------------

// Collect all partons of singlet to be consecutively ordered.

void ColConfig::collect(int iSub, Event& event, bool skipTrivial) {

  // Check that all partons have positive energy.
  for (int i = 0; i < singlets[iSub].size(); ++i) {
    int iNow = singlets[iSub].iParton[i];
    if (iNow > 0 && event[iNow].e() < 0.)
    infoPtr->errorMsg("Warning in ColConfig::collect: "
      "negative-energy parton encountered");
  }

  // Partons may already have been collected, e.g. at ministring collapse.
  if (singlets[iSub].isCollected) return;
  singlets[iSub].isCollected = true;

  // Check if partons already "by chance" happen to be ordered.
  bool inOrder = true;
  for (int i = 0; i < singlets[iSub].size() - 1; ++i) {
    int iFirst = singlets[iSub].iParton[i];
    if (iFirst < 0) continue;
    int iSecond = singlets[iSub].iParton[i + 1];
    if (iSecond < 0) iSecond = singlets[iSub].iParton[i + 2];
    if (iSecond != iFirst + 1) { inOrder = false; break;}
  }

  // Normally done if in order, but sometimes may need to copy anyway.
  if (inOrder && skipTrivial) return;
 
  // Copy down system. Update current partons.
  for (int i = 0; i < singlets[iSub].size(); ++i) {
    int iOld = singlets[iSub].iParton[i];
    if (iOld < 0) continue;
    int iNew = event.copy(iOld, 71);
    singlets[iSub].iParton[i] = iNew;
  }

  // Done.
}

//--------------------------------------------------------------------------

// Find to which singlet system a particle belongs.

int ColConfig::findSinglet(int i) {

  // Loop through all systems and all members in them.
  for (int iSub = 0; iSub < int(singlets.size()); ++iSub)
  for (int iMem = 0; iMem < singlets[iSub].size(); ++iMem)
    if (singlets[iSub].iParton[iMem] == i) return iSub;

  // Done without having found particle; return -1 = error code.
  return -1;
}

//--------------------------------------------------------------------------

// List all currently identified singlets.

void ColConfig::list(ostream& os) const {

  // Header. Loop over all individual singlets.
  os << "\n --------  Colour Singlet Systems Listing -------------------\n";
  for (int iSub = 0; iSub < int(singlets.size()); ++iSub) {

    // List all partons belonging to each singlet.
    os << " singlet " << iSub << " contains " ;
    for (int i = 0; i < singlets[iSub].size(); ++i)
      os << singlets[iSub].iParton[i] << " ";
    os << "\n";

  // Done.
  }
}
 
//==========================================================================

// The StringRegion class.

// Currently a number of simplifications, in particular ??
// 1) No popcorn baryon production.
// 2) Simplified treatment of pT in stepping and joining.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// If a string region is smaller thsan this it is assumed empty.
const double StringRegion::MJOIN = 0.1;

// Avoid division by zero.
const double StringRegion::TINY  = 1e-20;

//--------------------------------------------------------------------------

// Set up four-vectors for longitudinal and transverse directions.

void StringRegion::setUp(Vec4 p1, Vec4 p2, bool isMassless) {

  // Simple case: the two incoming four-vectors guaranteed massless.
  if (isMassless) {
 
    // Calculate w2, minimum value. Lightcone directions = input.
    w2 = 2. * (p1 * p2);
    if (w2 < MJOIN*MJOIN) {isSetUp = true; isEmpty = true; return;}
    pPos = p1;
    pNeg = p2;

  // Else allow possibility of masses for incoming partons (also gluons!).
  } else {

    // Generic four-momentum combinations.
    double m1Sq = p1 * p1;
    double m2Sq = p2 * p2;
    double p1p2 = p1 * p2;
    w2 = m1Sq + 2. * p1p2 + m2Sq;
    double rootSq = pow2(p1p2) - m1Sq * m2Sq;

    // If crazy kinematics (should not happen!) modify energies.
    if (w2 <= 0. || rootSq <= 0.) {
      if (m1Sq < 0.) m1Sq = 0.;
      p1.e( sqrt(m1Sq + p1.pAbs2()) );
      if (m2Sq < 0.) m2Sq = 0.;
      p2.e( sqrt(m2Sq + p2.pAbs2()) );
      p1p2 = p1 * p2;
      w2 = m1Sq + 2. * p1p2 + m2Sq;
      rootSq = pow2(p1p2) - m1Sq * m2Sq;
    }

    // If still small invariant mass then empty region (e.g. in gg system).
    if (w2 < MJOIN*MJOIN) {isSetUp = true; isEmpty = true; return;}

    // Find two lightconelike longitudinal four-vector directions.
    double root = sqrt( max(TINY, rootSq) );
    double k1 = 0.5 * ( (m2Sq + p1p2) / root - 1.);
    double k2 = 0.5 * ( (m1Sq + p1p2) / root - 1.);
    pPos = (1. + k1) * p1 - k2 * p2;
    pNeg = (1. + k2) * p2 - k1 * p1;
  }
  
  // Find two spacelike transverse four-vector directions.
  // Begin by picking two sensible trial directions.
  Vec4 eDiff = pPos / pPos.e() - pNeg / pNeg.e();
  double eDx = pow2( eDiff.px() );
  double eDy = pow2( eDiff.py() );
  double eDz = pow2( eDiff.pz() );
  if (eDx < min(eDy, eDz)) {
    eX = Vec4( 1., 0., 0., 0.);
    eY = (eDy < eDz) ? Vec4( 0., 1., 0., 0.) : Vec4( 0., 0., 1., 0.);
  } else if (eDy < eDz) {
    eX = Vec4( 0., 1., 0., 0.);
    eY = (eDx < eDz) ? Vec4( 1., 0., 0., 0.) : Vec4( 0., 0., 1., 0.);
  } else {
    eX = Vec4( 0., 0., 1., 0.);
    eY = (eDx < eDy) ? Vec4( 1., 0., 0., 0.) : Vec4( 0., 1., 0., 0.);
  }

  // Then construct orthogonal linear combinations.
  double pPosNeg = pPos * pNeg;
  double kXPos = eX * pPos / pPosNeg;
  double kXNeg = eX * pNeg / pPosNeg;
  double kXX = 1. / sqrt( 1. + 2. * kXPos * kXNeg * pPosNeg );
  double kYPos = eY * pPos / pPosNeg;
  double kYNeg = eY * pNeg / pPosNeg;
  double kYX = kXX * (kXPos * kYNeg + kXNeg * kYPos) * pPosNeg;
  double kYY = 1. / sqrt(1. + 2. * kYPos * kYNeg * pPosNeg - pow2(kYX));
  eX = kXX * (eX - kXNeg * pPos - kXPos * pNeg);
  eY = kYY * (eY - kYNeg * pPos - kYPos * pNeg - kYX * eX);

  // Done.
  isSetUp = true;
  isEmpty = false;

}

//--------------------------------------------------------------------------

// Project a four-momentum onto (x+, x-, px, py).

void StringRegion::project(Vec4 pIn) {

  // Perform projections by four-vector multiplication.
  xPosProj = 2. * (pIn * pNeg) / w2;
  xNegProj = 2. * (pIn * pPos) / w2;
  pxProj = - (pIn * eX);
  pyProj = - (pIn * eY);

}
 
//==========================================================================

// The StringSystem class.

//--------------------------------------------------------------------------

// Set up system from parton list.

void StringSystem::setUp(vector& iSys, Event& event) {

  // Figure out how big the system is. (Closed gluon loops?)
  sizePartons = iSys.size();
  sizeStrings = sizePartons - 1;
  sizeRegions = (sizeStrings * (sizeStrings + 1)) / 2;
  indxReg = 2 * sizeStrings + 1;
  iMax = sizeStrings - 1;

  // Reserve space for the required number of regions.
  system.clear();
  system.resize(sizeRegions);

  // Set up the lowest-lying regions.
  for (int i = 0; i < sizeStrings; ++i) {
    Vec4 p1 = event[ iSys[i] ].p();
    if ( event[ iSys[i] ].isGluon() ) p1 *= 0.5;
    Vec4 p2 = event[ iSys[i+1] ].p();
    if ( event[ iSys[i+1] ].isGluon() ) p2 *= 0.5;
    system[ iReg(i, iMax - i) ].setUp( p1, p2, false);
  }

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaHiggs.cc0000644000175000017500000023234212357054764015502 0ustar  sunsun// SigmaHiggs.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Part of code written by Marc Montull, CERN summer student 2007.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.
// Function definitions (not found in the header) for the
// Higgs simulation classes.

#include "Pythia8/SigmaHiggs.h"

namespace Pythia8 {

//==========================================================================

// Sigma1ffbar2H class.
// Cross section for f fbar -> H0 , H1, H2 or A3.
// (f is quark or lepton, H0 SM Higgs and H1, H2, A3 BSM Higgses ).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2H::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "f fbar -> H (SM)";
    codeSave = 901;
    idRes    = 25;
  }
  else if (higgsType == 1) {
    nameSave = "f fbar -> h0(H1)";
    codeSave = 1001;
    idRes    = 25;
  }
  else if (higgsType == 2) {
    nameSave = "f fbar -> H0(H2)";
    codeSave = 1021;
    idRes    = 35;
  }
  else if (higgsType == 3) {
    nameSave = "f fbar -> A0(A3)";
    codeSave = 1041;
    idRes    = 36;
  }

  // Find pointer to H0, H1, H2 or A3 depending on the value of idRes.
  HResPtr = particleDataPtr->particleDataEntryPtr(idRes);
  
  // Store H0, H1, H2 or A3 mass and width for propagator.
  mRes     = HResPtr->m0();
  GammaRes = HResPtr->mWidth();
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

}


//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma1ffbar2H::sigmaKin() {

  // Set up Breit-Wigner.
  double width = HResPtr->resWidth(idRes, mH);
  sigBW        = 4. * M_PI/ ( pow2(sH - m2Res) + pow2(mH * width) );

  // Width out only includes open channels.
  widthOut     = width * HResPtr->resOpenFrac(idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2H::sigmaHat() {

  // Calculate mass-dependent incoming width, including colour factor.
  int idAbs      = abs(id1);
  double widthIn = HResPtr->resWidthChan( mH, idAbs, -idAbs);
  if (idAbs < 9) widthIn /= 9.;

  // Done.
  return widthIn * sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2H::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idRes);
  
  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma1ffbar2H::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma1gg2H class.
// Cross section for g g -> H0, H1, H2 or A3 (H0 SM Higgs, H1, H2, A3 BSM).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1gg2H::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "g g -> H (SM)";
    codeSave = 902;
    idRes    = 25;
  }
  else if (higgsType == 1) {
    nameSave = "g g -> h0(H1)";
    codeSave = 1002;
    idRes    = 25;
  }
  else if (higgsType == 2) {
    nameSave = "g g -> H0(H2)";
    codeSave = 1022;
    idRes    = 35;
  }
  else if (higgsType == 3) {
    nameSave = "g g -> A0(A3)";
    codeSave = 1042;
    idRes    = 36;
  }

  // Find pointer to H0, H1, H2 or A3 depending on idRes.
  HResPtr = particleDataPtr->particleDataEntryPtr(idRes);

  // Store H0, H1, H2 or A3 mass and width for propagator.
  mRes     = HResPtr->m0();
  GammaRes = HResPtr->mWidth();
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1gg2H::sigmaKin() {

  // Incoming width for gluons, gives colour factor of 1/8 * 1/8.
  double widthIn  = HResPtr->resWidthChan( mH, 21, 21) / 64.;

  // Set up Breit-Wigner.
  double width    = HResPtr->resWidth(idRes, mH);
  double sigBW    = 8. * M_PI/ ( pow2(sH - m2Res) + pow2(mH * width) );

  // Width out only includes open channels.
  double widthOut = width * HResPtr->resOpenFrac(idRes);

  // Done.
  sigma = widthIn * sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1gg2H::setIdColAcol() {

  // Flavours trivial.
  setId( 21, 21, idRes);

  // Colour flow topology.
  setColAcol( 1, 2, 2, 1, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma1gg2H::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma1gmgm2H class.
// Cross section for gamma gamma -> H0, H1, H2 or H3.
// (H0 SM Higgs, H1, H2 and A3 BSM Higgses).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1gmgm2H::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "gamma gamma -> H (SM)";
    codeSave = 903;
    idRes    = 25;
  }
  else if (higgsType == 1) {
    nameSave = "gamma gamma -> h0(H1)";
    codeSave = 1003;
    idRes    = 25;
  }
  else if (higgsType == 2) {
    nameSave = "gamma gamma -> H0(H2)";
    codeSave = 1023;
    idRes    = 35;
  }
  else if (higgsType == 3) {
    nameSave = "gamma gamma -> A0(A3)";
    codeSave = 1043;
    idRes    = 36;
  }

  // Find pointer to H0, H1, H2 or A3.
  HResPtr = particleDataPtr->particleDataEntryPtr(idRes);

  // Store H0, H1, H2 or A3 mass and width for propagator.
  mRes     = HResPtr->m0();
  GammaRes = HResPtr->mWidth();
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1gmgm2H::sigmaKin() {

  // Incoming width for photons.
  double widthIn  = HResPtr->resWidthChan( mH, 22, 22);

  // Set up Breit-Wigner.
  double width    = HResPtr->resWidth(idRes, mH);
  double sigBW    = 8. * M_PI/ ( pow2(sH - m2Res) + pow2(mH * width) );

  // Width out only includes open channels.
  double widthOut = width * HResPtr->resOpenFrac(idRes);

  // Done.
  sigma = widthIn * sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1gmgm2H::setIdColAcol() {

  // Flavours trivial.
  setId( 22, 22, idRes);

  // Colour flow trivial.
  setColAcol( 0, 0, 0, 0, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma1gmgm2H::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2ffbar2HZ class.
// Cross section for f fbar -> H0 Z0, H1 Z0, H2 Z0 or A3 Z0.
// (H0 SM Higgs, H1, H2 and A3 BSM Higgses).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2HZ::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
     nameSave = "f fbar -> H0 Z0 (SM)";
     codeSave = 904;
     idRes    = 25;
     coup2Z   = 1.;
  }
  else if (higgsType == 1) {
    nameSave = "f fbar -> h0(H1) Z0";
    codeSave = 1004;
    idRes    = 25;
    coup2Z   = settingsPtr->parm("HiggsH1:coup2Z");
  }
  else if (higgsType == 2) {
    nameSave = "f fbar -> H0(H2) Z0";
    codeSave = 1024;
    idRes    = 35;
    coup2Z   = settingsPtr->parm("HiggsH2:coup2Z");
  }
  else if (higgsType == 3) {
    nameSave = "f fbar -> A0(A3) ZO";
    codeSave = 1044;
    idRes    = 36;
    coup2Z   = settingsPtr->parm("HiggsA3:coup2Z");
  }

  // Store Z0 mass and width for propagator. Common coupling factor.
  mZ           = particleDataPtr->m0(23);
  widZ         = particleDataPtr->mWidth(23);
  mZS          = mZ*mZ;
  mwZS         = pow2(mZ * widZ);
  thetaWRat    = 1. / (16. * couplingsPtr->sin2thetaW()
                 * couplingsPtr->cos2thetaW());

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idRes, 23);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2HZ::sigmaKin() {

  // Evaluate differential cross section.
  sigma0 = (M_PI / sH2) * 8. * pow2(alpEM * thetaWRat * coup2Z)
    * (tH * uH - s3 * s4 + 2. * sH * s4) / (pow2(sH - mZS) + mwZS);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2HZ::sigmaHat() {

  // Coupling a_f^2 + v_f^2 to s-channel Z0 and colour factor.
  int idAbs    = abs(id1);
  double sigma = sigma0 * couplingsPtr->vf2af2(idAbs);
  if (idAbs < 9) sigma /= 3.;

  // Secondary width for H0 and Z0 or H1 and Z0 or H2 and Z0 or A3 and Z0.
  sigma       *= openFracPair;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2HZ::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idRes, 23);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2ffbar2HZ::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // If not decay of Z0 created along with Higgs then done.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // Order so that fbar(1) f(2) -> H() f'(3) fbar'(4).
  int i1       = (process[3].id() < 0) ? 3 : 4;
  int i2       = 7 - i1;
  int i3       = process[6].daughter1();
  int i4       = process[6].daughter2();
  if (process[i3].id() < 0) swap( i3, i4);

  // Find left- and righthanded couplings of fermion pairs.
  int    idAbs = process[i1].idAbs();
  double liS   = pow2( couplingsPtr->lf(idAbs) );
  double riS   = pow2( couplingsPtr->rf(idAbs) );
  idAbs        = process[i3].idAbs();
  double lfS   = pow2( couplingsPtr->lf(idAbs) );
  double rfS   = pow2( couplingsPtr->rf(idAbs) );

  // Evaluate relevant four-products.
  double pp13  = process[i1].p() * process[i3].p();
  double pp14  = process[i1].p() * process[i4].p();
  double pp23  = process[i2].p() * process[i3].p();
  double pp24  = process[i2].p() * process[i4].p();

  // Weight and maximum.
  double wt    = (liS * lfS + riS * rfS) * pp13 * pp24
               + (liS * rfS + riS * lfS) * pp14 * pp23;
  double wtMax = (liS + riS) * (lfS + rfS) * (pp13 + pp14) * (pp23 + pp24);

  // Done.
  return wt / wtMax;

}

//==========================================================================

// Sigma2ffbar2HW class.
// Cross section for f fbar -> H0 W+-, H1 W+-, H2 W+- or A3 W+-.
// (H0 SM Higgs, H1, H2 and A3 BSM Higgses).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2HW::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "f fbar -> H0 W+- (SM)";
    codeSave = 905;
    idRes    = 25;
    coup2W   = 1.;
  }
  else if (higgsType == 1) {
    nameSave = "f fbar -> h0(H1) W+-";
    codeSave = 1005;
    idRes    = 25;
    coup2W   = settingsPtr->parm("HiggsH1:coup2W");
  }
  else if (higgsType == 2) {
    nameSave = "f fbar -> H0(H2) W+-";
    codeSave = 1025;
    idRes    = 35;
    coup2W   = settingsPtr->parm("HiggsH2:coup2W");
  }
  else if (higgsType == 3) {
    nameSave = "f fbar -> A0(A3) W+-";
    codeSave = 1045;
    idRes    = 36;
    coup2W   = settingsPtr->parm("HiggsA3:coup2W");
  }

  // Store W+- mass and width for propagator. Common coupling factor.
  mW              = particleDataPtr->m0(24);
  widW            = particleDataPtr->mWidth(24);
  mWS             = mW*mW;
  mwWS            = pow2(mW * widW);
  thetaWRat       = 1. / (4. * couplingsPtr->sin2thetaW());

  // Secondary open width fractions.
  openFracPairPos = particleDataPtr->resOpenFrac(idRes,  24);
  openFracPairNeg = particleDataPtr->resOpenFrac(idRes, -24);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2HW::sigmaKin() {

  //  Evaluate differential cross section.
  sigma0 = (M_PI / sH2) * 2. * pow2(alpEM * thetaWRat * coup2W)
    * (tH * uH - s3 * s4 + 2. * sH * s4) / (pow2(sH - mWS) + mwWS);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2HW::sigmaHat() {

  // CKM and colour factors.
  double sigma = sigma0;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Secondary width for H0 and W+-.
  int idUp     = (abs(id1)%2 == 0) ? id1 : id2;
  sigma       *= (idUp > 0) ? openFracPairPos : openFracPairNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2HW::setIdColAcol() {

  // Sign of outgoing W.
  int sign = 1 - 2 * (abs(id1)%2);
  if (id1 < 0) sign = -sign;
  setId( id1, id2, idRes, 24 * sign);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2ffbar2HW::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // If not decay of W+- created along with Higgs then done.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // Order so that fbar(1) f(2) -> H() f'(3) fbar'(4).
  int i1       = (process[3].id() < 0) ? 3 : 4;
  int i2       = 7 - i1;
  int i3       = process[6].daughter1();
  int i4       = process[6].daughter2();
  if (process[i3].id() < 0) swap( i3, i4);

  // Evaluate relevant four-products.
  double pp13  = process[i1].p() * process[i3].p();
  double pp14  = process[i1].p() * process[i4].p();
  double pp23  = process[i2].p() * process[i3].p();
  double pp24  = process[i2].p() * process[i4].p();

  // Weight and maximum.
  double wt    = pp13 * pp24;
  double wtMax = (pp13 + pp14) * (pp23 + pp24);

  // Done.
  return wt / wtMax;

}

//==========================================================================

// Sigma3ff2HfftZZ class.
// Cross section for f f' -> H f f' (Z0 Z0 fusion of SM or BSM Higgs).
// (H can be H0 SM or H1, H2, A3 from BSM).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3ff2HfftZZ::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "f f' -> H0 f f'(Z0 Z0 fusion) (SM)";
    codeSave = 906;
    idRes    = 25;
    coup2Z   = 1.;
  }
  else if (higgsType == 1) {
    nameSave = "f f' -> h0(H1) f f' (Z0 Z0 fusion)";
    codeSave = 1006;
    idRes    = 25;
    coup2Z  = settingsPtr->parm("HiggsH1:coup2Z");
  }
  else if (higgsType == 2) {
    nameSave = "f f' -> H0(H2) f f' (Z0 Z0 fusion)";
    codeSave = 1026;
    idRes    = 35;
    coup2Z  = settingsPtr->parm("HiggsH2:coup2Z");
  }
  else if (higgsType == 3) {
    nameSave = "f f' -> A0(A3) f f' (Z0 Z0 fusion)";
    codeSave = 1046;
    idRes    = 36;
    coup2Z  = settingsPtr->parm("HiggsA3:coup2Z");
  }

  // Common fixed mass and coupling factor.
  mZS = pow2( particleDataPtr->m0(23) );
  prefac = 0.25 * mZS * pow3( 4. * M_PI / (couplingsPtr->sin2thetaW()
           * couplingsPtr->cos2thetaW()) );

  // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma3ff2HfftZZ::sigmaKin() {

  // Required four-vector products.
  double pp12 = 0.5 * sH;
  double pp14 = 0.5 * mH * p4cm.pNeg();
  double pp15 = 0.5 * mH * p5cm.pNeg();
  double pp24 = 0.5 * mH * p4cm.pPos();
  double pp25 = 0.5 * mH * p5cm.pPos();
  double pp45 = p4cm * p5cm;

  // Propagator factors and two possible numerators.
  double prop = pow2( (2. * pp14 + mZS) * (2. * pp25 + mZS) );
  sigma1      = prefac * pp12 * pp45  / prop;
  sigma2      = prefac * pp15 * pp24  / prop;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma3ff2HfftZZ::sigmaHat() {

  // Flavour-dependent coupling factors for two incoming flavours.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  double lf1S  = pow2( couplingsPtr->lf(id1Abs) );
  double rf1S  = pow2( couplingsPtr->rf(id1Abs) );
  double lf2S  = pow2( couplingsPtr->lf(id2Abs) );
  double rf2S  = pow2( couplingsPtr->rf(id2Abs) );
  double c1    = lf1S * lf2S + rf1S * rf2S;
  double c2    = lf1S * rf2S + rf1S * lf2S;

  // Combine couplings and kinematics factors.
  double sigma = pow3(alpEM) * (c1 * sigma1 + c2 * sigma2) * pow2(coup2Z);

  // Secondary width for H0, H1, H2 or A3.
  sigma       *= openFrac;
  
  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3ff2HfftZZ::setIdColAcol() {

  // Trivial flavours: out = in.
  setId( id1, id2, idRes, id1, id2);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && abs(id2) < 9 && id1*id2 > 0)
                         setColAcol( 1, 0, 2, 0, 0, 0, 1, 0, 2, 0);
  else if (abs(id1) < 9 && abs(id2) < 9)
                         setColAcol( 1, 0, 0, 2, 0, 0, 1, 0, 0, 2);
  else if (abs(id1) < 9) setColAcol( 1, 0, 0, 0, 0, 0, 1, 0, 0, 0);
  else if (abs(id2) < 9) setColAcol( 0, 0, 1, 0, 0, 0, 0, 0, 1, 0);
  else                   setColAcol( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
  if ( (abs(id1) < 9 && id1 < 0) || (abs(id1) > 10 && id2 < 0) )
    swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma3ff2HfftZZ::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma3ff2HfftWW class.
// Cross section for f_1 f_2 -> H0 f_3 f_4 (W+ W- fusion of SM or BSM Higgs).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3ff2HfftWW::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "f_1 f_2 -> H0 f_3 f_4 (W+ W- fusion) (SM)";
    codeSave = 907;
    idRes    = 25;
    coup2W   = 1.;
  }
  else if (higgsType == 1) {
    nameSave = "f_1 f_2 -> h0(H1) f_3 f_4 (W+ W- fusion)";
    codeSave = 1007;
    idRes    = 25;
    coup2W   = settingsPtr->parm("HiggsH1:coup2W");
  }
  else if (higgsType == 2) {
    nameSave = "f_1 f_2 -> H0(H2) f_3 f_4 (W+ W- fusion)";
    codeSave = 1027;
    idRes    = 35;
    coup2W   = settingsPtr->parm("HiggsH2:coup2W");
  }
  else if (higgsType == 3) {
    nameSave = "f_1 f_2 -> A0(A3) f_3 f_4 (W+ W- fusion)";
    codeSave = 1047;
    idRes    = 36;
    coup2W   = settingsPtr->parm("HiggsA3:coup2W");
  }

  // Common fixed mass and coupling factor.
  mWS = pow2( particleDataPtr->m0(24) );
  prefac = mWS * pow3( 4. * M_PI / couplingsPtr->sin2thetaW() );

  // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma3ff2HfftWW::sigmaKin() {

  // Required four-vector products.
  double pp12  = 0.5 * sH;
  double pp14  = 0.5 * mH * p4cm.pNeg();
  double pp25  = 0.5 * mH * p5cm.pPos();
  double pp45  = p4cm * p5cm;

  // Cross section: kinematics part. Combine with couplings.
  double prop  = pow2( (2. * pp14 + mWS) * (2. * pp25 + mWS) );
  sigma0       = prefac * pp12 * pp45 * pow2(coup2W) / prop;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma3ff2HfftWW::sigmaHat() {

  // Some flavour combinations not possible.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if ( (id1Abs%2 == id2Abs%2 && id1 * id2 > 0)
    || (id1Abs%2 != id2Abs%2 && id1 * id2 < 0) ) return 0.;

  // Basic cross section. CKM factors for final states.
  double sigma = sigma0 * pow3(alpEM) * couplingsPtr->V2CKMsum(id1Abs)
    * couplingsPtr->V2CKMsum(id2Abs);

  // Secondary width for H0, H1, H2 or A3.
  sigma       *= openFrac;

  // Spin-state extra factor 2 per incoming neutrino.
  if (id1Abs == 12 || id1Abs == 14 || id1Abs == 16) sigma *= 2.;
  if (id2Abs == 12 || id2Abs == 14 || id2Abs == 16) sigma *= 2.;

  // Answer.
  return sigma;
 
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3ff2HfftWW::setIdColAcol() {

  // Pick out-flavours by relative CKM weights.
  id4 = couplingsPtr->V2CKMpick(id1);
  id5 = couplingsPtr->V2CKMpick(id2);
  setId( id1, id2, idRes, id4, id5);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && abs(id2) < 9 && id1*id2 > 0)
                         setColAcol( 1, 0, 2, 0, 0, 0, 1, 0, 2, 0);
  else if (abs(id1) < 9 && abs(id2) < 9)
                         setColAcol( 1, 0, 0, 2, 0, 0, 1, 0, 0, 2);
  else if (abs(id1) < 9) setColAcol( 1, 0, 0, 0, 0, 0, 1, 0, 0, 0);
  else if (abs(id2) < 9) setColAcol( 0, 0, 1, 0, 0, 0, 0, 0, 1, 0);
  else                   setColAcol( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
  if ( (abs(id1) < 9 && id1 < 0) || (abs(id1) > 10 && id2 < 0) )
    swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma3ff2HfftWW::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma3gg2HQQbar class.
// Cross section for g g -> H0 Q Qbar (Q Qbar fusion of SM or BSM Higgs).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3gg2HQQbar::initProc() {

  // Properties specific to Higgs state for the "g g -> H ttbar" process.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  if (higgsType == 0 && idNew == 6) {
    nameSave = "g g -> H t tbar (SM)";
    codeSave = 908;
    idRes    = 25;
    coup2Q   = 1.;
  }
  else if (higgsType == 1 && idNew == 6) {
    nameSave = "g g -> h0(H1) t tbar";
    codeSave = 1008;
    idRes    = 25;
    coup2Q   = settingsPtr->parm("HiggsH1:coup2u");
  }
  else if (higgsType == 2 && idNew == 6) {
    nameSave = "g g -> H0(H2) t tbar";
    codeSave = 1028;
    idRes    = 35;
    coup2Q   = settingsPtr->parm("HiggsH2:coup2u");
  }
  else if (higgsType == 3 && idNew == 6) {
    nameSave = "g g -> A0(A3) t tbar";
    codeSave = 1048;
    idRes    = 36;
    coup2Q   = settingsPtr->parm("HiggsA3:coup2u");
  }

  // Properties specific to Higgs state for the "g g -> H b bbar" process.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  if (higgsType == 0 && idNew == 5) {
    nameSave = "g g -> H b bbar (SM)";
    codeSave = 912;
    idRes    = 25;
    coup2Q   = 1.;
  }
  else if (higgsType == 1 && idNew == 5) {
    nameSave = "g g -> h0(H1) b bbar";
    codeSave = 1012;
    idRes    = 25;
    coup2Q   = settingsPtr->parm("HiggsH1:coup2d");
  }
  else if (higgsType == 2 && idNew == 5) {
    nameSave = "g g -> H0(H2) b bbar";
    codeSave = 1032;
    idRes    = 35;
    coup2Q   = settingsPtr->parm("HiggsH2:coup2d");
  }
  else if (higgsType == 3 && idNew == 5) {
    nameSave = "g g -> A0(A3) b bbar";
    codeSave = 1052;
    idRes    = 36;
    coup2Q   = settingsPtr->parm("HiggsA3:coup2d");
  }

  // Common mass and coupling factors.
  double mWS      = pow2(particleDataPtr->m0(24));
  prefac          = (4. * M_PI / couplingsPtr->sin2thetaW()) * pow2(4. * M_PI)
                  * 0.25 / mWS;

  // Secondary open width fraction.
  openFracTriplet = particleDataPtr->resOpenFrac(idRes, idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma3gg2HQQbar::sigmaKin() {

  // Running mass of heavy quark.
  double mQ2run = pow2( particleDataPtr->mRun(idNew, mH) );

  // Linear combination of p_Q and p_Qbar to ensure common mass.
  double mQ2  = m4 * m5;
  double epsi = 0.;
  if (m4 != m5) {
    double s45  = (p4cm + p5cm).m2Calc();
    mQ2       = 0.5 * (s4 + s5) - 0.25 * pow2(s4 - s5) / s45;
    epsi      = 0.5 * (s5 - s4) / s45;
  }

  // Set up kinematics: g(4) g(5) -> H(3) Q(1) Qbar(2) in outgoing sense.
  Vec4 pTemp[6];
  pTemp[4]   = Vec4( 0., 0., -0.5* mH, -0.5* mH);
  pTemp[5]   = Vec4( 0., 0.,  0.5* mH, -0.5* mH);
  pTemp[1]   = p4cm + epsi * (p4cm + p5cm);
  pTemp[2]   = p5cm - epsi * (p4cm + p5cm);
  pTemp[3]   = p3cm;

  // Four-product combinations.
  double z1  = pTemp[1] * pTemp[2];
  double z2  = pTemp[1] * pTemp[3];
  double z3  = pTemp[1] * pTemp[4];
  double z4  = pTemp[1] * pTemp[5];
  double z5  = pTemp[2] * pTemp[3];
  double z6  = pTemp[2] * pTemp[4];
  double z7  = pTemp[2] * pTemp[5];
  double z8  = pTemp[3] * pTemp[4];
  double z9  = pTemp[3] * pTemp[5];
  double z10 = pTemp[4] * pTemp[5];
       
  // Powers required as shorthand in matriz elements.
  double mQ4  = mQ2 * mQ2;
  double mQ6  = mQ2 * mQ4;
  double z1S  = z1 * z1;
  double z2S  = z2 * z2;
  double z3S  = z3 * z3;
  double z4S  = z4 * z4;
  double z5S  = z5 * z5;
  double z6S  = z6 * z6;
  double z7S  = z7 * z7;
  double z8S  = z8 * z8;
  double z9S  = z9 * z9;
  double z10S = z10 * z10;

  // Evaluate matriz elements for g + g -> Q + Qbar + H.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  double fm[9][9];
  fm[1][1] = 64*mQ6+16*mQ4*s3+32*mQ4*(z1+2*z2+z4+z9+2*
  z7+z5)+8*mQ2*s3*(-z1-z4+2*z7)+16*mQ2*(z2*z9+4*z2*
  z7+z2*z5-2*z4*z7-2*z9*z7)+8*s3*z4*z7-16*z2*z9*z7;
  fm[1][2] = 16*mQ6+8*mQ4*(-2*z1+z2-2*z3-2*z4-4*z10+z9-z8+2
  *z7-4*z6+z5)+8*mQ2*(-2*z1*z2-2*z2*z4-2*z2*z10+z2*z7-2*
  z2*z6-2*z3*z7+2*z4*z7+4*z10*z7-z9*z7-z8*z7)+16*z2*z7*(z4+
  z10);
  fm[1][3] = 16*mQ6-4*mQ4*s3+8*mQ4*(-2*z1+2*z2-2*z3-4*
  z4-8*z10+z9+z8-2*z7-4*z6+2*z5)-(4*mQ2*s3)*(z1+z4+z10
  +z6)+8*mQ2*(-2*z1*z2-2*z1*z10+z1*z9+z1*z8-2*z1*z5+z2S
  -4*z2*z4-5*z2*z10+z2*z8-z2*z7-3*z2*z6+z2*z5+z3*z9+2*z3*z7
  -z3*z5+z4*z8+2*z4*z6-3*z4*z5-5*z10*z5+z9*z8+z9*z6+z9*z5+
  z8*z7-4*z6*z5+z5S)-(16*z2*z5)*(z1+z4+z10+z6);
  fm[1][4] = 16*mQ6+4*mQ4*s3+16*mQ4*(-z1+z2-z3-z4+z10-
  z9-z8+2*z7+2*z6-z5)+4*mQ2*s3*(z1+z3+z4+z10+2*z7+2*z6
  )+8*mQ2*(4*z1*z10+4*z1*z7+4*z1*z6+2*z2*z10-z2*z9-z2*z8+
  4*z2*z7+4*z2*z6-z2*z5+4*z10*z5+4*z7*z5+4*z6*z5)-(8*s3*
  z1)*(z10+z7+z6)+16*z2*z5*(z10+z7+z6);
  fm[1][5] = 8*mQ4*(-2*z1-2*z4+z10-z9)+4*mQ2*(4*z1S-2*z1*
  z2+8*z1*z3+6*z1*z10-2*z1*z9+4*z1*z8+4*z1*z7+4*z1*z6+2*z1*
  z5+z2*z10+4*z3*z4-z3*z9+2*z3*z7+3*z4*z8-2*z4*z6+2*z4*z5-4
  *z10*z7+3*z10*z5-3*z9*z6+3*z8*z7-4*z7S+4*z7*z5)+8*(z1S
  *z9-z1S*z8-z1*z2*z7+z1*z2*z6+z1*z3*z9+z1*z3*z5-z1*z4*
  z8-z1*z4*z5+z1*z10*z9+z1*z9*z7+z1*z9*z6-z1*z8*z7-z2*z3*z7
  +z2*z4*z6-z2*z10*z7-z2*z7S+z3*z7*z5-z4*z10*z5-z4*z7*z5-
  z4*z6*z5);
  fm[1][6] = 16*mQ4*(-4*z1-z4+z9-z7)+4*mQ2*s3*(-2*z1-z4-
  z7)+16*mQ2*(-2*z1S-3*z1*z2-2*z1*z4-3*z1*z9-2*z1*z7-3*
  z1*z5-2*z2*z4-2*z7*z5)-8*s3*z4*z7+8*(-z1*z2*z9-2*z1*z2
  *z5-z1*z9S-z1*z9*z5+z2S*z7-z2*z4*z5+z2*z9*z7-z2*z7*z5
  +z4*z9*z5+z4*z5S);
  fm[1][7] = 8*mQ4*(2*z3+z4+3*z10+z9+2*z8+3*z7+6*z6)+2*mQ2*
  s3*(-2*z3-z4+3*z10+3*z7+6*z6)+4*mQ2*(4*z1*z10+4*z1*
  z7+8*z1*z6+6*z2*z10+z2*z9+2*z2*z8+6*z2*z7+12*z2*z6-8*z3*
  z7+4*z4*z7+4*z4*z6+4*z10*z5+4*z9*z7+4*z9*z6-8*z8*z7+4*z7*
  z5+8*z6*z5)+4*s3*(-z1*z10-z1*z7-2*z1*z6+2*z3*z7-z4*z7-
  z4*z6)+8*z2*(z10*z5+z9*z7+z9*z6-2*z8*z7+z7*z5+2*z6*z5);
  fm[1][8] = 8*mQ4*(2*z3+z4+3*z10+2*z9+z8+3*z7+6*z6)+2*mQ2*
  s3*(-2*z3-z4+2*z10+z7+2*z6)+4*mQ2*(4*z1*z10-2*z1*z9+
  2*z1*z8+4*z1*z7+8*z1*z6+5*z2*z10+2*z2*z9+z2*z8+4*z2*z7+8*
  z2*z6-z3*z9-8*z3*z7+2*z3*z5+2*z4*z9-z4*z8+4*z4*z7+4*z4*z6
  +4*z4*z5+5*z10*z5+z9S-z9*z8+2*z9*z7+5*z9*z6+z9*z5-7*z8*
  z7+2*z8*z5+2*z7*z5+10*z6*z5)+2*s3*(-z1*z10+z3*z7-2*z4*
  z7+z4*z6)+4*(-z1*z9S+z1*z9*z8-2*z1*z9*z5-z1*z8*z5+2*z2*
  z10*z5+z2*z9*z7+z2*z9*z6-2*z2*z8*z7+3*z2*z6*z5+z3*z9*z5+
  z3*z5S+z4*z9*z5-2*z4*z8*z5+2*z4*z5S);
  fm[2][2] = 16*mQ6+16*mQ4*(-z1+z3-z4-z10+z7-z6)+16*mQ2*(
  z3*z10+z3*z7+z3*z6+z4*z7+z10*z7)-16*z3*z10*z7;
  fm[2][3] = 16*mQ6+8*mQ4*(-2*z1+z2+2*z3-4*z4-4*z10-z9+z8-2
  *z7-2*z6+z5)+8*mQ2*(-2*z1*z5+4*z3*z10-z3*z9-z3*z8-2*z3*
  z7+2*z3*z6+z3*z5-2*z4*z5-2*z10*z5-2*z6*z5)+16*z3*z5*(z10+
  z6);
  fm[2][4] = 8*mQ4*(-2*z1-2*z3+z10-z8)+4*mQ2*(4*z1S-2*z1*
  z2+8*z1*z4+6*z1*z10+4*z1*z9-2*z1*z8+4*z1*z7+4*z1*z6+2*z1*
  z5+z2*z10+4*z3*z4+3*z3*z9-2*z3*z7+2*z3*z5-z4*z8+2*z4*z6-4
  *z10*z6+3*z10*z5+3*z9*z6-3*z8*z7-4*z6S+4*z6*z5)+8*(-z1S
  *z9+z1S*z8+z1*z2*z7-z1*z2*z6-z1*z3*z9-z1*z3*z5+z1*z4
  *z8+z1*z4*z5+z1*z10*z8-z1*z9*z6+z1*z8*z7+z1*z8*z6+z2*z3*
  z7-z2*z4*z6-z2*z10*z6-z2*z6S-z3*z10*z5-z3*z7*z5-z3*z6*
  z5+z4*z6*z5);
  fm[2][5] = 16*mQ4*z10+8*mQ2*(2*z1S+2*z1*z3+2*z1*z4+2*z1
  *z10+2*z1*z7+2*z1*z6+z3*z7+z4*z6)+8*(-2*pow3(z1)-2*z1S*z3-
  2*z1S*z4-2*z1S*z10-2*z1S*z7-2*z1S*z6-2*z1*z3*z4-
  z1*z3*z10-2*z1*z3*z6-z1*z4*z10-2*z1*z4*z7-z1*z10S-z1*
  z10*z7-z1*z10*z6-2*z1*z7*z6+z3S*z7-z3*z4*z7-z3*z4*z6+z3
  *z10*z7+z3*z7S-z3*z7*z6+z4S*z6+z4*z10*z6-z4*z7*z6+z4*
  z6S);
  fm[2][6] = 8*mQ4*(-2*z1+z10-z9-2*z7)+4*mQ2*(4*z1S+2*z1*
  z2+4*z1*z3+4*z1*z4+6*z1*z10-2*z1*z9+4*z1*z8+8*z1*z6-2*z1*
  z5+4*z2*z4+3*z2*z10+2*z2*z7-3*z3*z9-2*z3*z7-4*z4S-4*z4*
  z10+3*z4*z8+2*z4*z6+z10*z5-z9*z6+3*z8*z7+4*z7*z6)+8*(z1S
  *z9-z1S*z8-z1*z2*z7+z1*z2*z6+z1*z3*z9+z1*z3*z5+z1*z4*
  z9-z1*z4*z8-z1*z4*z5+z1*z10*z9+z1*z9*z6-z1*z8*z7-z2*z3*z7
  -z2*z4*z7+z2*z4*z6-z2*z10*z7+z3*z7*z5-z4S*z5-z4*z10*z5-
  z4*z6*z5);
  fm[2][7] = 8*mQ4*(z3+2*z4+3*z10+z7+2*z6)+4*mQ2*(-4*z1*z3-
  2*z1*z4-2*z1*z10+z1*z9-z1*z8-4*z1*z7-2*z1*z6+z2*z3+2*z2*
  z4+3*z2*z10+z2*z7+2*z2*z6-6*z3*z4-6*z3*z10-2*z3*z9-2*z3*
  z7-4*z3*z6-z3*z5-6*z4S-6*z4*z10-3*z4*z9-z4*z8-4*z4*z7-2
  *z4*z6-2*z4*z5-3*z10*z9-3*z10*z8-6*z10*z7-6*z10*z6+z10*z5
  +z9*z7-2*z8*z7-2*z8*z6-6*z7*z6+z7*z5-6*z6S+2*z6*z5)+4*(
  -z1S*z9+z1S*z8-2*z1*z2*z10-3*z1*z2*z7-3*z1*z2*z6+z1*
  z3*z9-z1*z3*z5+z1*z4*z9+z1*z4*z8+z1*z4*z5+z1*z10*z9+z1*
  z10*z8-z1*z9*z6+z1*z8*z6+z2*z3*z7-3*z2*z4*z7-z2*z4*z6-3*
  z2*z10*z7-3*z2*z10*z6-3*z2*z7*z6-3*z2*z6S-2*z3*z4*z5-z3
  *z10*z5-z3*z6*z5-z4S*z5-z4*z10*z5+z4*z6*z5);
  fm[2][8] = 8*mQ4*(z3+2*z4+3*z10+z7+2*z6)+4*mQ2*(-4*z1*z3-
  2*z1*z4-2*z1*z10-z1*z9+z1*z8-4*z1*z7-2*z1*z6+z2*z3+2*z2*
  z4+z2*z10-z2*z7-2*z2*z6-6*z3*z4-6*z3*z10-2*z3*z9+z3*z8-2*
  z3*z7-4*z3*z6+z3*z5-6*z4S-6*z4*z10-2*z4*z9-4*z4*z7-2*z4
  *z6+2*z4*z5-3*z10*z9-3*z10*z8-6*z10*z7-6*z10*z6+3*z10*z5-
  z9*z6-2*z8*z7-3*z8*z6-6*z7*z6+z7*z5-6*z6S+2*z6*z5)+4*(
  z1S*z9-z1S*z8-z1*z2*z7+z1*z2*z6-3*z1*z3*z5+z1*z4*z9-
  z1*z4*z8-3*z1*z4*z5+z1*z10*z9+z1*z10*z8-2*z1*z10*z5+z1*z9
  *z6+z1*z8*z7+z1*z8*z6-z2*z4*z7+z2*z4*z6-z2*z10*z7-z2*z10*
  z6-2*z2*z7*z6-z2*z6S-3*z3*z4*z5-3*z3*z10*z5+z3*z7*z5-3*
  z3*z6*z5-3*z4S*z5-3*z4*z10*z5-z4*z6*z5);
  fm[3][3] = 64*mQ6+16*mQ4*s3+32*mQ4*(z1+z2+2*z3+z8+z6
  +2*z5)+8*mQ2*s3*(-z1+2*z3-z6)+16*mQ2*(z2*z5-2*z3*
  z8-2*z3*z6+4*z3*z5+z8*z5)+8*s3*z3*z6-16*z3*z8*z5;
  fm[3][4] = 16*mQ4*(-4*z1-z3+z8-z6)+4*mQ2*s3*(-2*z1-z3-
  z6)+16*mQ2*(-2*z1S-3*z1*z2-2*z1*z3-3*z1*z8-2*z1*z6-3*
  z1*z5-2*z2*z3-2*z6*z5)-8*s3*z3*z6+8*(-z1*z2*z8-2*z1*z2
  *z5-z1*z8S-z1*z8*z5+z2S*z6-z2*z3*z5+z2*z8*z6-z2*z6*z5
  +z3*z8*z5+z3*z5S);
  fm[3][5] = 8*mQ4*(-2*z1+z10-z8-2*z6)+4*mQ2*(4*z1S+2*z1*
  z2+4*z1*z3+4*z1*z4+6*z1*z10+4*z1*z9-2*z1*z8+8*z1*z7-2*z1*
  z5+4*z2*z3+3*z2*z10+2*z2*z6-4*z3S-4*z3*z10+3*z3*z9+2*z3
  *z7-3*z4*z8-2*z4*z6+z10*z5+3*z9*z6-z8*z7+4*z7*z6)+8*(-z1S
  *z9+z1S*z8+z1*z2*z7-z1*z2*z6-z1*z3*z9+z1*z3*z8-z1*z3
  *z5+z1*z4*z8+z1*z4*z5+z1*z10*z8-z1*z9*z6+z1*z8*z7+z2*z3*
  z7-z2*z3*z6-z2*z4*z6-z2*z10*z6-z3S*z5-z3*z10*z5-z3*z7*
  z5+z4*z6*z5);
  fm[3][6] = 16*mQ6+4*mQ4*s3+16*mQ4*(-z1-z2+2*z3+2*z4+
  z10-z9-z8-z7-z6+z5)+4*mQ2*s3*(z1+2*z3+2*z4+z10+z7+z6
  )+8*mQ2*(4*z1*z3+4*z1*z4+4*z1*z10+4*z2*z3+4*z2*z4+4*z2*
  z10-z2*z5+4*z3*z5+4*z4*z5+2*z10*z5-z9*z5-z8*z5)-(8*s3*
  z1)*(z3+z4+z10)+16*z2*z5*(z3+z4+z10);
  fm[3][7] = 8*mQ4*(3*z3+6*z4+3*z10+z9+2*z8+2*z7+z6)+2*mQ2*
  s3*(z3+2*z4+2*z10-2*z7-z6)+4*mQ2*(4*z1*z3+8*z1*z4+4*
  z1*z10+2*z1*z9-2*z1*z8+2*z2*z3+10*z2*z4+5*z2*z10+2*z2*z9+
  z2*z8+2*z2*z7+4*z2*z6-7*z3*z9+2*z3*z8-8*z3*z7+4*z3*z6+4*
  z3*z5+5*z4*z8+4*z4*z6+8*z4*z5+5*z10*z5-z9*z8-z9*z6+z9*z5+
  z8S-z8*z7+2*z8*z6+2*z8*z5)+2*s3*(-z1*z10+z3*z7-2*z3*
  z6+z4*z6)+4*(-z1*z2*z9-2*z1*z2*z8+z1*z9*z8-z1*z8S+z2S
  *z7+2*z2S*z6+3*z2*z4*z5+2*z2*z10*z5-2*z2*z9*z6+z2*z8*z7
  +z2*z8*z6-2*z3*z9*z5+z3*z8*z5+z4*z8*z5);
  fm[3][8] = 8*mQ4*(3*z3+6*z4+3*z10+2*z9+z8+2*z7+z6)+2*mQ2*
  s3*(3*z3+6*z4+3*z10-2*z7-z6)+4*mQ2*(4*z1*z3+8*z1*z4+
  4*z1*z10+4*z2*z3+8*z2*z4+4*z2*z10-8*z3*z9+4*z3*z8-8*z3*z7
  +4*z3*z6+6*z3*z5+4*z4*z8+4*z4*z6+12*z4*z5+6*z10*z5+2*z9*
  z5+z8*z5)+4*s3*(-z1*z3-2*z1*z4-z1*z10+2*z3*z7-z3*z6-z4
  *z6)+8*z5*(z2*z3+2*z2*z4+z2*z10-2*z3*z9+z3*z8+z4*z8);
  fm[4][4] = 64*mQ6+16*mQ4*s3+32*mQ4*(z1+2*z2+z3+z8+2*
  z6+z5)+8*mQ2*s3*(-z1-z3+2*z6)+16*mQ2*(z2*z8+4*z2*
  z6+z2*z5-2*z3*z6-2*z8*z6)+8*s3*z3*z6-16*z2*z8*z6;
  fm[4][5] = 16*mQ6+8*mQ4*(-2*z1+z2-2*z3-2*z4-4*z10-z9+z8-4
  *z7+2*z6+z5)+8*mQ2*(-2*z1*z2-2*z2*z3-2*z2*z10-2*z2*z7+
  z2*z6+2*z3*z6-2*z4*z6+4*z10*z6-z9*z6-z8*z6)+16*z2*z6*(z3+
  z10);
  fm[4][6] = 16*mQ6-4*mQ4*s3+8*mQ4*(-2*z1+2*z2-4*z3-2*
  z4-8*z10+z9+z8-4*z7-2*z6+2*z5)-(4*mQ2*s3)*(z1+z3+z10
  +z7)+8*mQ2*(-2*z1*z2-2*z1*z10+z1*z9+z1*z8-2*z1*z5+z2S
  -4*z2*z3-5*z2*z10+z2*z9-3*z2*z7-z2*z6+z2*z5+z3*z9+2*z3*z7
  -3*z3*z5+z4*z8+2*z4*z6-z4*z5-5*z10*z5+z9*z8+z9*z6+z8*z7+
  z8*z5-4*z7*z5+z5S)-(16*z2*z5)*(z1+z3+z10+z7);
  fm[4][7] = 8*mQ4*(-z3-2*z4-3*z10-2*z9-z8-6*z7-3*z6)+2*mQ2
  *s3*(z3+2*z4-3*z10-6*z7-3*z6)+4*mQ2*(-4*z1*z10-8*z1*
  z7-4*z1*z6-6*z2*z10-2*z2*z9-z2*z8-12*z2*z7-6*z2*z6-4*z3*
  z7-4*z3*z6+8*z4*z6-4*z10*z5+8*z9*z6-4*z8*z7-4*z8*z6-8*z7*
  z5-4*z6*z5)+4*s3*(z1*z10+2*z1*z7+z1*z6+z3*z7+z3*z6-2*
  z4*z6)+8*z2*(-z10*z5+2*z9*z6-z8*z7-z8*z6-2*z7*z5-z6*z5);
  fm[4][8] = 8*mQ4*(-z3-2*z4-3*z10-z9-2*z8-6*z7-3*z6)+2*mQ2
  *s3*(z3+2*z4-2*z10-2*z7-z6)+4*mQ2*(-4*z1*z10-2*z1*z9
  +2*z1*z8-8*z1*z7-4*z1*z6-5*z2*z10-z2*z9-2*z2*z8-8*z2*z7-4
  *z2*z6+z3*z9-2*z3*z8-4*z3*z7-4*z3*z6-4*z3*z5+z4*z8+8*z4*
  z6-2*z4*z5-5*z10*z5+z9*z8+7*z9*z6-2*z9*z5-z8S-5*z8*z7-2
  *z8*z6-z8*z5-10*z7*z5-2*z6*z5)+2*s3*(z1*z10-z3*z7+2*z3
  *z6-z4*z6)+4*(-z1*z9*z8+z1*z9*z5+z1*z8S+2*z1*z8*z5-2*z2
  *z10*z5+2*z2*z9*z6-z2*z8*z7-z2*z8*z6-3*z2*z7*z5+2*z3*z9*
  z5-z3*z8*z5-2*z3*z5S-z4*z8*z5-z4*z5S);
  fm[5][5] = 16*mQ6+16*mQ4*(-z1-z3+z4-z10-z7+z6)+16*mQ2*(
  z3*z6+z4*z10+z4*z7+z4*z6+z10*z6)-16*z4*z10*z6;
  fm[5][6] = 16*mQ6+8*mQ4*(-2*z1+z2-4*z3+2*z4-4*z10+z9-z8-2
  *z7-2*z6+z5)+8*mQ2*(-2*z1*z5-2*z3*z5+4*z4*z10-z4*z9-z4*
  z8+2*z4*z7-2*z4*z6+z4*z5-2*z10*z5-2*z7*z5)+16*z4*z5*(z10+
  z7);
  fm[5][7] = 8*mQ4*(-2*z3-z4-3*z10-2*z7-z6)+4*mQ2*(2*z1*z3+
  4*z1*z4+2*z1*z10+z1*z9-z1*z8+2*z1*z7+4*z1*z6-2*z2*z3-z2*
  z4-3*z2*z10-2*z2*z7-z2*z6+6*z3S+6*z3*z4+6*z3*z10+z3*z9+
  3*z3*z8+2*z3*z7+4*z3*z6+2*z3*z5+6*z4*z10+2*z4*z8+4*z4*z7+
  2*z4*z6+z4*z5+3*z10*z9+3*z10*z8+6*z10*z7+6*z10*z6-z10*z5+
  2*z9*z7+2*z9*z6-z8*z6+6*z7S+6*z7*z6-2*z7*z5-z6*z5)+4*(-
  z1S*z9+z1S*z8+2*z1*z2*z10+3*z1*z2*z7+3*z1*z2*z6-z1*z3
  *z9-z1*z3*z8-z1*z3*z5-z1*z4*z8+z1*z4*z5-z1*z10*z9-z1*z10*
  z8-z1*z9*z7+z1*z8*z7+z2*z3*z7+3*z2*z3*z6-z2*z4*z6+3*z2*
  z10*z7+3*z2*z10*z6+3*z2*z7S+3*z2*z7*z6+z3S*z5+2*z3*z4
  *z5+z3*z10*z5-z3*z7*z5+z4*z10*z5+z4*z7*z5);
  fm[5][8] = 8*mQ4*(-2*z3-z4-3*z10-2*z7-z6)+4*mQ2*(2*z1*z3+
  4*z1*z4+2*z1*z10-z1*z9+z1*z8+2*z1*z7+4*z1*z6-2*z2*z3-z2*
  z4-z2*z10+2*z2*z7+z2*z6+6*z3S+6*z3*z4+6*z3*z10+2*z3*z8+
  2*z3*z7+4*z3*z6-2*z3*z5+6*z4*z10-z4*z9+2*z4*z8+4*z4*z7+2*
  z4*z6-z4*z5+3*z10*z9+3*z10*z8+6*z10*z7+6*z10*z6-3*z10*z5+
  3*z9*z7+2*z9*z6+z8*z7+6*z7S+6*z7*z6-2*z7*z5-z6*z5)+4*(
  z1S*z9-z1S*z8-z1*z2*z7+z1*z2*z6+z1*z3*z9-z1*z3*z8+3*
  z1*z3*z5+3*z1*z4*z5-z1*z10*z9-z1*z10*z8+2*z1*z10*z5-z1*z9
  *z7-z1*z9*z6-z1*z8*z7-z2*z3*z7+z2*z3*z6+z2*z10*z7+z2*z10*
  z6+z2*z7S+2*z2*z7*z6+3*z3S*z5+3*z3*z4*z5+3*z3*z10*z5+
  z3*z7*z5+3*z4*z10*z5+3*z4*z7*z5-z4*z6*z5);
  fm[6][6] = 64*mQ6+16*mQ4*s3+32*mQ4*(z1+z2+2*z4+z9+z7
  +2*z5)+8*mQ2*s3*(-z1+2*z4-z7)+16*mQ2*(z2*z5-2*z4*
  z9-2*z4*z7+4*z4*z5+z9*z5)+8*s3*z4*z7-16*z4*z9*z5;
  fm[6][7] = 8*mQ4*(-6*z3-3*z4-3*z10-2*z9-z8-z7-2*z6)+2*mQ2
  *s3*(-2*z3-z4-2*z10+z7+2*z6)+4*mQ2*(-8*z1*z3-4*z1*z4
  -4*z1*z10+2*z1*z9-2*z1*z8-10*z2*z3-2*z2*z4-5*z2*z10-z2*z9
  -2*z2*z8-4*z2*z7-2*z2*z6-5*z3*z9-4*z3*z7-8*z3*z5-2*z4*z9+
  7*z4*z8-4*z4*z7+8*z4*z6-4*z4*z5-5*z10*z5-z9S+z9*z8-2*z9
  *z7+z9*z6-2*z9*z5+z8*z7-z8*z5)+2*s3*(z1*z10-z3*z7+2*z4
  *z7-z4*z6)+4*(2*z1*z2*z9+z1*z2*z8+z1*z9S-z1*z9*z8-2*
  z2S*z7-z2S*z6-3*z2*z3*z5-2*z2*z10*z5-z2*z9*z7-z2*z9*z6+
  2*z2*z8*z7-z3*z9*z5-z4*z9*z5+2*z4*z8*z5);
  fm[6][8] = 8*mQ4*(-6*z3-3*z4-3*z10-z9-2*z8-z7-2*z6)+2*mQ2
  *s3*(-6*z3-3*z4-3*z10+z7+2*z6)+4*mQ2*(-8*z1*z3-4*z1*
  z4-4*z1*z10-8*z2*z3-4*z2*z4-4*z2*z10-4*z3*z9-4*z3*z7-12*
  z3*z5-4*z4*z9+8*z4*z8-4*z4*z7+8*z4*z6-6*z4*z5-6*z10*z5-z9
  *z5-2*z8*z5)+4*s3*(2*z1*z3+z1*z4+z1*z10+z3*z7+z4*z7-2*
  z4*z6)+8*z5*(-2*z2*z3-z2*z4-z2*z10-z3*z9-z4*z9+2*z4*z8);
  fm[7][7] = 72*mQ4*z10+18*mQ2*s3*z10+8*mQ2*(z1*z10+9*
  z2*z10+7*z3*z7+2*z3*z6+2*z4*z7+7*z4*z6+z10*z5+2*z9*z7+7*
  z9*z6+7*z8*z7+2*z8*z6)+2*s3*(-z1*z10-7*z3*z7-2*z3*z6-2
  *z4*z7-7*z4*z6)+4*z2*(z10*z5+2*z9*z7+7*z9*z6+7*z8*z7+2*z8
  *z6);
  fm[7][8] = 72*mQ4*z10+2*mQ2*s3*z10+4*mQ2*(2*z1*z10+
  10*z2*z10+7*z3*z9+2*z3*z8+14*z3*z7+4*z3*z6+2*z4*z9+7*z4*
  z8+4*z4*z7+14*z4*z6+10*z10*z5+z9S+7*z9*z8+2*z9*z7+7*z9*
  z6+z8S+7*z8*z7+2*z8*z6)+2*s3*(7*z1*z10-7*z3*z7-2*z3*
  z6-2*z4*z7-7*z4*z6)+2*(-2*z1*z9S-14*z1*z9*z8-2*z1*z8S
  +2*z2*z10*z5+2*z2*z9*z7+7*z2*z9*z6+7*z2*z8*z7+2*z2*z8*z6+
  7*z3*z9*z5+2*z3*z8*z5+2*z4*z9*z5+7*z4*z8*z5);
  fm[8][8] = 72*mQ4*z10+18*mQ2*s3*z10+8*mQ2*(z1*z10+z2
  *z10+7*z3*z9+2*z3*z8+7*z3*z7+2*z3*z6+2*z4*z9+7*z4*z8+2*z4
  *z7+7*z4*z6+9*z10*z5)+2*s3*(-z1*z10-7*z3*z7-2*z3*z6-2*
  z4*z7-7*z4*z6)+4*z5*(z2*z10+7*z3*z9+2*z3*z8+2*z4*z9+7*z4*
  z8);
  double fm99 = -4*mQ4*z10-mQ2*s3*z10+4*mQ2*(-z1*z10-z2*z10+
  z3*z7+z4*z6-z10*z5+z9*z6+z8*z7)+s3*(z1*z10-z3*z7-z4*z6
  )+2*z2*(-z10*z5+z9*z6+z8*z7);
  double fm910 = -4*mQ4*z10-mQ2*s3*z10+2*mQ2*(-2*z1*z10-2*z2*
  z10+2*z3*z9+2*z3*z7+2*z4*z6-2*z10*z5+z9*z8+2*z8*z7)+s3
  *(z1*z10-z3*z7-z4*z6)+2*(-z1*z9*z8-z2*z10*z5+z2*z8*z7+z3*
  z9*z5);
  double fmxx = -4*mQ4*z10-mQ2*s3*z10+2*mQ2*(-2*z1*z10-2*z2*
  z10+2*z4*z8+2*z4*z6+2*z3*z7-2*z10*z5+z9*z8+2*z9*z6)+s3
  *(z1*z10-z3*z7-z4*z6)+2*(-z1*z9*z8-z2*z10*z5+z2*z9*z6+z4*
  z8*z5);
  fm910 = 0.5*(fmxx+fm910);
  double fm1010 = -4*mQ4*z10-mQ2*s3*z10+4*mQ2*(-z1*z10-z2*z10+
  z3*z7+z4*z6-z10*z5+z9*z3+z8*z4)+s3*(z1*z10-z3*z7-z4*z6
  )+2*z5*(-z10*z2+z9*z3+z8*z4);
  fm[7][7] -= 2. * fm99;
  fm[7][8] -= 2. * fm910;
  fm[8][8] -= 2. * fm1010;
 
  // Propagators.
  double ss1 = (pTemp[1] + pTemp[3]).m2Calc() - mQ2;
  double ss2 = (pTemp[1] + pTemp[4]).m2Calc() - mQ2;
  double ss3 = (pTemp[1] + pTemp[5]).m2Calc() - mQ2;
  double ss4 = (pTemp[2] + pTemp[3]).m2Calc() - mQ2;
  double ss5 = (pTemp[2] + pTemp[4]).m2Calc() - mQ2;
  double ss6 = (pTemp[2] + pTemp[5]).m2Calc() - mQ2;
  double ss7 = sH;

  // Propagator combinations.
  double dz[9];
  dz[1]      = ss1 * ss6;
  dz[2]      = ss2 * ss6;
  dz[3]      = ss2 * ss4;
  dz[4]      = ss1 * ss5;
  dz[5]      = ss3 * ss5;
  dz[6]      = ss3 * ss4;
  dz[7]      = ss7 * ss1;
  dz[8]      = ss7 * ss4;

  // Colour factors.
  double clr[9][9];
  for (int i = 1; i < 4; ++i)
  for (int j = 1; j < 4; ++j) {
    clr[i][j]     = 16. / 3.;
    clr[i][j+3]   = -2. / 3.;
    clr[i+3][j]   = -2. / 3.;
    clr[i+3][j+3] = 16. / 3.;
  }
  for (int i = 1; i < 4; ++i)
  for (int j = 1; j < 3; ++j) {
    clr[i][j+6]   = -6.;
    clr[i+3][j+6] = 6.;
    clr[j+6][i]   = -6.;
    clr[j+6][i+3] = 6.;
  }
  for (int i = 1; i < 3; ++i)
  for (int j = 1; j < 3; ++j)
    clr[i+6][j+6] = 12.;
 
  // Produce final result: matrix elements * colours * propagators.
  double wtSum = 0.;
  for (int i = 1; i < 9; ++i)
  for (int j = i; j < 9; ++j) {
    double fac = (j == i) ? 4. : 8.;
    wtSum += fm[i][j] * fac * clr[i][j] / (dz[i] * dz[j]);
  }
  wtSum *= -1./256.;
  
  // Combine factors.
  sigma  = prefac * alpEM * pow2(alpS) * mQ2run * wtSum *pow2(coup2Q);

  // Secondary width for H, Q and Qbar (latter for top only).
  // (H can be H0 SM or H1, H2, A3 from BSM).
  sigma *= openFracTriplet;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3gg2HQQbar::setIdColAcol() {

  // Pick out-flavours by relative CKM weights.
  setId( id1, id2, idRes, idNew, -idNew);

  // Colour flow topologies.
  if (rndmPtr->flat() < 0.5) setColAcol( 1, 2, 2, 3, 0, 0, 1, 0, 0, 3);
  else                    setColAcol( 1, 2, 3, 1, 0, 0, 3, 0, 0, 2);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma3gg2HQQbar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma3qqbar2HQQbar class.
// Cross section for q qbar -> H0 Q Qbar (Q Qbar fusion of SM Higgs).
// REDUCE output and part of the rest courtesy Z. Kunszt,
// see Z. Kunszt, Nucl. Phys. B247 (1984) 339.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3qqbar2HQQbar::initProc() {

  // Properties specific to Higgs state for the "q qbar -> H ttbar" process.
  // (H can be H0 SM or H1, H2, A3 from BSM).
                
  if (higgsType == 0 && idNew == 6) {
    nameSave = "q qbar -> H t tbar (SM)";
    codeSave = 909;
    idRes    = 25;
    coup2Q   = 1.;
  }
  else if (higgsType == 1 && idNew == 6) {
    nameSave = "q qbar -> h0(H1) t tbar";
    codeSave = 1009;
    idRes    = 25;
    coup2Q   = settingsPtr->parm("HiggsH1:coup2u");
  }
  else if (higgsType == 2 && idNew == 6) {
    nameSave = "q qbar -> H0(H2) t tbar";
    codeSave = 1029;
    idRes    = 35;
    coup2Q   = settingsPtr->parm("HiggsH2:coup2u");
  }
  else if (higgsType == 3 && idNew == 6) {
    nameSave = "q qbar -> A0(A3) t tbar";
    codeSave = 1049;
    idRes    = 36;
    coup2Q   = settingsPtr->parm("HiggsA3:coup2u");
  }

 // Properties specific to Higgs state for the "q qbar -> H b bbar" process.
 // (H can be H0 SM or H1, H2, A3 from BSM).
  if (higgsType == 0 && idNew == 5) {
    nameSave = "q qbar -> H b bbar (SM)";
    codeSave = 913;
    idRes    = 25;
    coup2Q   = 1.;
  }
  else if (higgsType == 1 && idNew == 5) {
    nameSave = "q qbar -> h0(H1) b bbar";
    codeSave = 1013;
    idRes    = 25;
    coup2Q   = settingsPtr->parm("HiggsH1:coup2d");
  }
  else if (higgsType == 2 && idNew == 5) {
    nameSave = "q qbar -> H0(H2) b bbar";
    codeSave = 1033;
    idRes    = 35;
    coup2Q   = settingsPtr->parm("HiggsH2:coup2d");
  }
  else if (higgsType == 3 && idNew == 5) {
    nameSave = "q qbar -> A0(A3) b bbar";
    codeSave = 1053;
    idRes    = 36;
    coup2Q   = settingsPtr->parm("HiggsA3:coup2d");
  }

  // Common mass and coupling factors.
  double mWS      = pow2(particleDataPtr->m0(24));
  prefac          = (4. * M_PI / couplingsPtr->sin2thetaW()) * pow2(4. * M_PI)
                  * 0.25 / mWS;

  // Secondary open width fraction.
  openFracTriplet = particleDataPtr->resOpenFrac(idRes, idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate sigma(sHat), part independent of incoming flavour.

void Sigma3qqbar2HQQbar::sigmaKin() {

  // Running mass of heavy quark.
  double mQ2run = pow2( particleDataPtr->mRun(idNew, mH) );

  // Linear combination of p_Q and p_Qbar to ensure common mass.
  double mQ2  = m4 * m5;
  double epsi = 0.;
  if (m4 != m5) {
    double s45  = (p4cm + p5cm).m2Calc();
    mQ2       = 0.5 * (s4 + s5) - 0.25 * pow2(s4 - s5) / s45;
    epsi      = 0.5 * (s5 - s4) / s45;
  }

  // Set up kinematics: q(4) qbar(5) -> H(3) Q(1) Qbar(2) in outgoing sense.
  Vec4 pTemp[6];
  pTemp[4]   = Vec4( 0., 0., -0.5* mH, -0.5* mH);
  pTemp[5]   = Vec4( 0., 0.,  0.5* mH, -0.5* mH);
  pTemp[1]   = p4cm + epsi * (p4cm + p5cm);
  pTemp[2]   = p5cm - epsi * (p4cm + p5cm);
  pTemp[3]   = p3cm;

  // Four-product combinations.
  double z1  = pTemp[1] * pTemp[2];
  double z2  = pTemp[1] * pTemp[3];
  double z3  = pTemp[1] * pTemp[4];
  double z4  = pTemp[1] * pTemp[5];
  double z5  = pTemp[2] * pTemp[3];
  double z6  = pTemp[2] * pTemp[4];
  double z7  = pTemp[2] * pTemp[5];
  double z8  = pTemp[3] * pTemp[4];
  double z9  = pTemp[3] * pTemp[5];
  double z10 = pTemp[4] * pTemp[5];
       
  // Powers required as shorthand in matriz elements.
  double mQ4  = mQ2 * mQ2;

  // Evaluate matrix elements for q + qbar -> Q + Qbar + H.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  double a11 = -8.*mQ4*z10-2.*mQ2*s3*z10-(8.*mQ2)*(z2*z10+z3
  *z7+z4*z6+z9*z6+z8*z7)+2.*s3*(z3*z7+z4*z6)-(4.*z2)*(z9
  *z6+z8*z7);
  double a12 = -8.*mQ4*z10+4.*mQ2*(-z2*z10-z3*z9-2.*z3*z7-z4*z8-
  2.*z4*z6-z10*z5-z9*z8-z9*z6-z8*z7)+2.*s3*(-z1*z10+z3*z7
  +z4*z6)+2.*(2.*z1*z9*z8-z2*z9*z6-z2*z8*z7-z3*z9*z5-z4*z8*
  z5);
  double a22 = -8.*mQ4*z10-2.*mQ2*s3*z10-(8.*mQ2)*(z3*z9+z3*
  z7+z4*z8+z4*z6+z10*z5)+2.*s3*(z3*z7+z4*z6)-(4.*z5)*(z3
  *z9+z4*z8);
 
  // Propagators and propagator combinations.
  double ss1 = (pTemp[1] + pTemp[3]).m2Calc() - mQ2;
  double ss4 = (pTemp[2] + pTemp[3]).m2Calc() - mQ2;
  double ss7 = sH;
  double dz7 = ss7 * ss1;
  double dz8 = ss7 * ss4;

  // Produce final result: matrix elements * propagators.
  a11 /=  (dz7 * dz7);
  a12 /=  (dz7 * dz8);
  a22 /=  (dz8 * dz8);
  double wtSum = -(a11 + a22 + 2.*a12) * (8./9.);
  
  // Combine factors.
  sigma = prefac * alpEM * pow2(alpS) * mQ2run * wtSum * pow2(coup2Q);

  // Secondary width for H, Q and Qbar (latter for top only).
  // (H can be H0 SM or H1, H2, A3 from BSM).
  sigma *= openFracTriplet;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3qqbar2HQQbar::setIdColAcol() {

  // Pick out-flavours by relative CKM weights.
  setId( id1, id2, idRes, idNew, -idNew);

  // Colour flow topologies.
  if (id1 > 0) setColAcol( 1, 0, 0, 2, 0, 0, 1, 0, 0, 2);
  else         setColAcol( 0, 1, 2, 0, 0, 0, 2, 0, 0, 1);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma3qqbar2HQQbar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2qg2Hq class.
// Cross section for q g -> H q.
// (H can be H0 SM or H1, H2, A3 from BSM).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2Hq::initProc() {

  // Properties specific to Higgs state for the "c g -> H c" process.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  if (higgsType == 0 && idNew == 4) {
    nameSave = "c g -> H c (SM)";
    codeSave = 911;
    idRes    = 25;
  }
  else if (higgsType == 1 && idNew == 4) {
    nameSave = "c g -> h0(H1) c";
    codeSave = 1011;
    idRes    = 25;
  }
  else if (higgsType == 2 && idNew == 4) {
    nameSave = "c g -> H0(H2) c";
    codeSave = 1031;
    idRes    = 35;
  }
  else if (higgsType == 3 && idNew == 4) {
    nameSave = "c g -> A0(A3) c";
    codeSave = 1051;
    idRes    = 36;
  }

 // Properties specific to Higgs state for the "b g -> H b" process.
 // (H can be H0 SM or H1, H2, A3 from BSM).
 if (higgsType == 0 && idNew == 5) {
    nameSave = "b g -> H b (SM)";
    codeSave = 911;
    idRes    = 25;
  }
  else if (higgsType == 1 && idNew == 5) {
    nameSave = "b g -> h0(H1) b";
    codeSave = 1011;
    idRes    = 25;
  }
  else if (higgsType == 2 && idNew == 5) {
    nameSave = "b g -> H0(H2) b";
    codeSave = 1031;
    idRes    = 35;
  }
  else if (higgsType == 3 && idNew == 5) {
    nameSave = "b g -> A0(A3) b";
    codeSave = 1051;
    idRes    = 36;
  }

  // Standard parameters.
  m2W       = pow2( particleDataPtr->m0(24) );
  thetaWRat = 1. / (24. * couplingsPtr->sin2thetaW());
 
  // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idRes);

  
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qg2Hq::sigmaKin() {

  // Running mass provides coupling.
  double m2Run = pow2( particleDataPtr->mRun(idNew, mH) );

  // Cross section, including couplings and kinematics.
  sigma = (M_PI / sH2) * alpS * alpEM * thetaWRat * (m2Run/m2W)
    * (sH / (s4 - uH) + 2. * s4 * (s3 - uH) / pow2(s4 - uH)
      + (s4 - uH) / sH - 2. * s4 / (s4 - uH)
      + 2. * (s3 - uH)  * (s3 - s4 - sH) / ((s4 - uH) * sH) );

  // Include secondary width for H0, H1, H2 or A3. Done.
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2qg2Hq::sigmaHat() {

  // Check that specified flavour present.
  if (abs(id1) != idNew && abs(id2) != idNew) return 0.;
 
  // Answer.
  return sigma;

}


//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2Hq::setIdColAcol() {

  // Flavour set up for q g -> H0 q.
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, idRes, idq);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2qg2Hq::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2gg2Hglt class.
// Cross section for g g -> H g (H SM Higgs or BSM Higgs) via top loop.
// (H can be H0 SM or H1, H2, A3 from BSM).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2Hglt::initProc() {

  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "g g -> H g (SM; top loop)";
    codeSave = 914;
    idRes    = 25;
  }
  else if (higgsType == 1) {
    nameSave = "g g -> h0(H1) g (BSM; top loop)";
    codeSave = 1014;
    idRes    = 25;
  }
  else if (higgsType == 2) {
    nameSave = "g g -> H0(H2) g (BSM; top loop)";
    codeSave = 1034;
    idRes    = 35;
  }
  else if (higgsType == 3) {
    nameSave = "g g -> A0(A3) g (BSM; top loop)";
    codeSave = 1054;
    idRes    = 36;
  }
  
  // Normalization factor by g g -> H partial width.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  double mHiggs = particleDataPtr->m0(idRes);
  widHgg = particleDataPtr->resWidthChan(idRes, mHiggs, 21, 21);

   // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idRes);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2gg2Hglt::sigmaKin() {

  // Evaluate cross section. Secondary width for H0, H1, H2 or A3.
  sigma  = (M_PI / sH2) * (3. / 16.) * alpS * (widHgg / m3)
    * (sH2 * sH2 + tH2 * tH2 + uH2 * uH2 + pow4(s3))
    / (sH * tH * uH * s3);
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2Hglt::setIdColAcol() {

  // Flavour set up for g g -> H g trivial.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  setId( 21, 21, idRes, 21);

  // Colour flow topologies: random choice between two mirrors.
  if (rndmPtr->flat() < 0.5) setColAcol( 1, 2, 2, 3, 0, 0, 1, 3);
  else                    setColAcol( 1, 2, 3, 1, 0, 0, 3, 2);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2gg2Hglt::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2qg2Hqlt class.
// Cross section for q g -> H q (H SM or BSM Higgs) via top loop.
// (H can be H0 SM or H1, H2, A3 from BSM).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2Hqlt::initProc() {
  
  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "q g -> H q (SM; top loop)";
    codeSave = 915;
    idRes    = 25;
  }
  else if (higgsType == 1) {
    nameSave = "q g -> h0(H1) q (BSM; top loop)";
    codeSave = 1015;
    idRes    = 25;
  }
  else if (higgsType == 2) {
    nameSave = "q g -> H0(H2) q (BSM; top loop)";
    codeSave = 1035;
    idRes    = 35;
  }
  else if (higgsType == 3) {
    nameSave = "q g -> A0(A3) q (BSM; top loop)";
    codeSave = 1055;
    idRes    = 36;
  }

  // Normalization factor by g g -> H partial width.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  double mHiggs = particleDataPtr->m0(idRes);
  widHgg = particleDataPtr->resWidthChan(idRes, mHiggs, 21, 21);

  // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idRes);
  
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat, part independent of incoming flavour).

void Sigma2qg2Hqlt::sigmaKin() {

  // Evaluate cross section. Secondary width for H0, H1, H2 or A3.
  sigma  = (M_PI / sH2) * (1. / 12.) * alpS * (widHgg / m3)
    * (sH2 + uH2) / (-tH * s3);
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2Hqlt::setIdColAcol() {

  // Flavour set up for q g -> H q.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, idRes, idq);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2qg2Hqlt::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2qqbar2Hglt class.
// Cross section for q qbar -> H g (H SM or BSM Higgs) via top loop.
// (H can be H0 SM or H1, H2, A3 from BSM).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2Hglt::initProc() {
   
  // Properties specific to Higgs state.
  if (higgsType == 0) {
    nameSave = "q qbar -> H g (SM; top loop)";
    codeSave = 916;
    idRes    = 25;
  }
  else if (higgsType == 1) {
    nameSave = "q qbar -> h0(H1) g (BSM; top loop)";
    codeSave = 1016;
    idRes    = 25;
  }
  else if (higgsType == 2) {
    nameSave = "q qbar -> H0(H2) g (BSM; top loop)";
    codeSave = 1036;
    idRes    = 35;
  }
  else if (higgsType == 3) {
    nameSave = "q qbar -> A0(A3) g (BSM; top loop)";
    codeSave = 1056;
    idRes    = 36;
  }

  // Normalization factor by g g -> H partial width.
  // (H can be H0 SM or H1, H2, A3 from BSM).
  double mHiggs = particleDataPtr->m0(idRes);
  widHgg = particleDataPtr->resWidthChan(idRes, mHiggs, 21, 21);

  // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idRes);

  
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qqbar2Hglt::sigmaKin() {

  // Evaluate cross section. Secondary width for H0, H1, H2 or A3.
  sigma  = (M_PI / sH2) * (2. / 9.) * alpS * (widHgg / m3)
    * (tH2 + uH2) / (sH * s3);
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2Hglt::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idRes, 21);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 0, 0, 1, 2);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2qqbar2Hglt::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}


//==========================================================================

// Sigma1ffbar2Hchg class.
// Cross section for f fbar -> H+- (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2Hchg::initProc() {

  // Find pointer to H+-.
  HResPtr = particleDataPtr->particleDataEntryPtr(37);

  // Store H+- mass and width for propagator.
  mRes      = HResPtr->m0();
  GammaRes  = HResPtr->mWidth();
  m2Res     = mRes*mRes;
  GamMRat   = GammaRes / mRes;

  // Couplings.
  m2W       = pow2(particleDataPtr->m0(24));
  thetaWRat = 1. / (8. * couplingsPtr->sin2thetaW());
  tan2Beta  = pow2(settingsPtr->parm("HiggsHchg:tanBeta"));

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma1ffbar2Hchg::sigmaKin() {

  // Set up Breit-Wigner. Width out only includes open channels.
  sigBW    = 4. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  widthOutPos = HResPtr->resWidthOpen( 37, mH);
  widthOutNeg = HResPtr->resWidthOpen(-37, mH);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2Hchg::sigmaHat() {

  // Only allow generation-diagonal states.
  int id1Abs     = abs(id1);
  int id2Abs     = abs(id2);
  int idUp       = max(id1Abs, id2Abs);
  int idDn       = min(id1Abs, id2Abs);
  if (idUp%2 != 0 || idUp - idDn != 1) return 0.;

  // Calculate mass-dependent incoming width. Total cross section.
  double m2RunUp = pow2(particleDataPtr->mRun(idUp, mH));
  double m2RunDn = pow2(particleDataPtr->mRun(idDn, mH));
  double widthIn = alpEM * thetaWRat * (mH/m2W)
     * (m2RunDn * tan2Beta + m2RunUp / tan2Beta);
  int idUpChg    = (id1Abs%2 == 0) ? id1 : id2;
  double sigma   = (idUpChg > 0) ? widthIn * sigBW * widthOutPos
                                 : widthIn * sigBW * widthOutNeg;

  // Colour factor. Answer.
  if (idUp < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2Hchg::setIdColAcol() {

  // Charge of Higgs. Fill flavours.
  int idUpChg = (abs(id1)%2 == 0) ? id1 : id2;
  int idHchg  = (idUpChg > 0) ? 37 : -37;
  setId( id1, id2, idHchg);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma1ffbar2Hchg::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2qg2Hq class.
// Cross section for q g -> H+- q'.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2Hchgq::initProc() {

  // Standard parameters.
  m2W       = pow2( particleDataPtr->m0(24) );
  thetaWRat = 1. / (24. * couplingsPtr->sin2thetaW());
  tan2Beta  = pow2(settingsPtr->parm("HiggsHchg:tanBeta"));

  // Incoming flavour within same doublet. Uptype and downtype flavours.
  idOld     = (idNew%2 == 0) ? idNew - 1 : idNew + 1;
  idUp      = max(idOld, idNew);
  idDn      = min(idOld, idNew);

  // Secondary open width fraction.
  openFracPos = (idOld%2 == 0) ? particleDataPtr->resOpenFrac( 37,  idNew)
                               : particleDataPtr->resOpenFrac(-37,  idNew);
  openFracNeg = (idOld%2 == 0) ? particleDataPtr->resOpenFrac(-37, -idNew)
                               : particleDataPtr->resOpenFrac( 37, -idNew);
  
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qg2Hchgq::sigmaKin() {

  // Running masses provides coupling.
  double m2RunUp = pow2(particleDataPtr->mRun(idUp, mH));
  double m2RunDn = pow2(particleDataPtr->mRun(idDn, mH));

  // Cross section, including couplings and kinematics.
  sigma = (M_PI / sH2) * alpS * alpEM * thetaWRat
    * (m2RunDn * tan2Beta + m2RunUp / tan2Beta) / m2W
    * (sH / (s4 - uH) + 2. * s4 * (s3 - uH) / pow2(s4 - uH)
      + (s4 - uH) / sH - 2. * s4 / (s4 - uH)
      + 2. * (s3 - uH)  * (s3 - s4 - sH) / ((s4 - uH) * sH) );

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2qg2Hchgq::sigmaHat() {

  // Check that specified flavour present.
  if (abs(id1) != idOld && abs(id2) != idOld) return 0.;
 
  // Answer.
  return (id1 == idOld || id2 == idOld) ? sigma * openFracPos
                                        : sigma * openFracNeg;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2Hchgq::setIdColAcol() {

  // Flavour set up for q g -> H+- q'.
  int idq = (id2 == 21) ? id1 : id2;
  id3     = ( (idq > 0 && idOld%2 == 0) || (idq < 0 && idOld%2 != 0) )
            ? 37 : -37;
  id4     = (idq > 0) ? idNew : -idNew;
  setId( id1, id2, id3, id4);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2qg2Hchgq::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2ffbar2A3H12 class.
// Cross section for f fbar -> A0(H_3) h0(H_1) or A0(H_3) H0(H_2).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2A3H12::initProc() {

  // Set up whether h0(H_1) or H0(H_2).
  higgs12    = (higgsType == 1) ? 25 : 35;
  codeSave   = (higgsType == 1) ? 1081 : 1082;
  nameSave   = (higgsType == 1) ? "f fbar -> A0(H3) h0(H1)"
                                : "f fbar -> A0(H3) H0(H2)";
  coupZA3H12 = (higgsType == 1) ? settingsPtr->parm("HiggsA3:coup2H1Z")
                                : settingsPtr->parm("HiggsA3:coup2H2Z");

  // Standard parameters.
  double mZ  = particleDataPtr->m0(23);
  double GammaZ = particleDataPtr->mWidth(23);
  m2Z        = mZ * mZ;
  mGammaZ    = mZ * GammaZ;
  thetaWRat  = 1. / (4. * couplingsPtr->sin2thetaW()
             * couplingsPtr->cos2thetaW());

  // Secondary open width fraction.
  openFrac   = particleDataPtr->resOpenFrac(36, higgs12);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2ffbar2A3H12::sigmaKin() {

  // Common kinematics factora.
  sigma0 = (M_PI / sH2) * pow2(alpEM * thetaWRat * coupZA3H12)
    * (uH * tH - s3 * s4) / ( pow2(sH - m2Z) + pow2(mGammaZ) );

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2ffbar2A3H12::sigmaHat() {

  // Couplings for incoming flavour.
  int idAbs    = abs(id1);
  double lIn   = couplingsPtr->lf(idAbs);
  double rIn   = couplingsPtr->rf(idAbs);

  // Combine to total cross section. Colour factor.
  double sigma = (pow2(lIn) + pow2(rIn)) * sigma0 * openFrac;
  if (idAbs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2A3H12::setIdColAcol() {

  // Flavours trivial
  setId( id1, id2, 36, higgs12);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2ffbar2A3H12::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2ffbar2HchgH12 class.
// Cross section for f fbar -> H+- h0(H_1) or H+- H0(H_2).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2HchgH12::initProc() {

  // Set up whether h0(H_1) or H0(H_2).
  higgs12    = (higgsType == 1) ? 25 : 35;
  codeSave   = (higgsType == 1) ? 1083 : 1084;
  nameSave   = (higgsType == 1) ? "f fbar' -> H+- h0(H1)"
                                : "f fbar' -> H+- H0(H2)";
  coupWHchgH12 = (higgsType == 1) ? settingsPtr->parm("HiggsHchg:coup2H1W")
                                  : settingsPtr->parm("HiggsHchg:coup2H2W");

  // Standard parameters.
  double mW  = particleDataPtr->m0(24);
  double GammaW = particleDataPtr->mWidth(24);
  m2W        = mW * mW;
  mGammaW    = mW * GammaW;
  thetaWRat  = 1. / (2. * couplingsPtr->sin2thetaW());

  // Secondary open width fraction.
  openFracPos   = particleDataPtr->resOpenFrac( 37, higgs12);
  openFracNeg   = particleDataPtr->resOpenFrac(-37, higgs12);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2ffbar2HchgH12::sigmaKin() {

  // Common kinematics factora.
  sigma0 = 0.5 * (M_PI / sH2) * pow2(alpEM * thetaWRat * coupWHchgH12)
    * (uH * tH - s3 * s4) / ( pow2(sH - m2W) + pow2(mGammaW) );

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2ffbar2HchgH12::sigmaHat() {

  // Combine to total cross section. CKM and colour factor.
  int idUp = (abs(id1)%2 == 0) ? id1 : id2;
  double sigma = (idUp > 0) ? sigma0 * openFracPos : sigma0 * openFracNeg;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2HchgH12::setIdColAcol() {

  // Charge of Higgs. Fill flavours.
  int idUpChg = (abs(id1)%2 == 0) ? id1 : id2;
  int idHchg  = (idUpChg > 0) ? 37 : -37;
  setId( id1, id2, idHchg, higgs12);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2ffbar2HchgH12::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2ffbar2HposHneg class.
// Cross section for q g -> H+- q'.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2HposHneg::initProc() {

  // Standard parameters.
  double mZ = particleDataPtr->m0(23);
  double GammaZ = particleDataPtr->mWidth(23);
  m2Z       = mZ * mZ;
  mGammaZ   = mZ * GammaZ;
  thetaWRat = 1. / (4. * couplingsPtr->sin2thetaW()
            * couplingsPtr->cos2thetaW());

  // Charged Higgs coupling to gamma and Z0.
  eH        = -1.;
  lH        = -1. + 2. * couplingsPtr->sin2thetaW();

  // Secondary open width fraction.
  openFrac  = particleDataPtr->resOpenFrac(37, -37);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2ffbar2HposHneg::sigmaKin() {

  // Common kinematics factora.
  double preFac = M_PI * pow2(alpEM) * ((uH * tH - s3 * s4) / sH2);
  double propZ  = 1. / ( pow2(sH - m2Z) + pow2(mGammaZ) );
 
  // Separate parts for gamma*, interference and Z0.
  gamSig    = preFac * 2. * pow2(eH) / sH2;
  intSig    = preFac * 2. * eH * lH * thetaWRat * propZ * (sH - m2Z) / sH;
  resSig    = preFac * pow2(lH * thetaWRat) * propZ;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2ffbar2HposHneg::sigmaHat() {

  // Couplings for incoming flavour.
  int idAbs    = abs(id1);
  double eIn   = couplingsPtr->ef(idAbs);
  double lIn   = couplingsPtr->lf(idAbs);
  double rIn   = couplingsPtr->rf(idAbs);

  // Combine to total cross section. Colour factor.
  double sigma = (pow2(eIn) * gamSig + eIn * (lIn + rIn) * intSig
    + (pow2(lIn) + pow2(rIn)) * resSig) * openFrac;
  if (idAbs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2HposHneg::setIdColAcol() {

  // Flavours trivial
  setId( id1, id2, 37, -37);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma2ffbar2HposHneg::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaTotal.cc0000644000175000017500000005312212357054765015522 0ustar  sunsun// SigmaTotal.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the SigmaTotal class.

#include "Pythia8/SigmaTotal.h"

namespace Pythia8 {

//==========================================================================

// The SigmaTotal class.

// Formulae are taken from:
// G.A. Schuler and T. Sjostrand, Phys. Rev. D49 (1994) 2257,
//   Z. Phys. C73 (1997) 677
// which borrows some total cross sections from
// A. Donnachie and P.V. Landshoff, Phys. Lett. B296 (1992) 227.

// Implemented processes with their process number iProc:
// =  0 : p + p;     =  1 : pbar + p;
// =  2 : pi+ + p;   =  3 : pi- + p;     =  4 : pi0/rho0 + p;
// =  5 : phi + p;   =  6 : J/psi + p;
// =  7 : rho + rho; =  8 : rho + phi;   =  9 : rho + J/psi;
// = 10 : phi + phi; = 11 : phi + J/psi; = 12 : J/psi + J/psi.
// = 13 : Pom + p (preliminary).
// For now a neutron is treated like a proton.

//--------------------------------------------------------------------------
 
// Definitions of static variables.
// Note that a lot of parameters are hardcoded as const here, rather
// than being interfaced for public change, since any changes would
// have to be done in a globally consistent manner. Which basically
// means a rewrite/replacement of the whole class.

// Minimum threshold below which no cross sections will be defined.
const double SigmaTotal::MMIN  = 2.;

// General constants in total cross section parametrization:
// sigmaTot = X * s^epsilon + Y * s^eta (pomeron + reggeon).
const double SigmaTotal::EPSILON = 0.0808;
const double SigmaTotal::ETA     = -0.4525;
const double SigmaTotal::X[] = { 21.70, 21.70, 13.63, 13.63, 13.63,
  10.01, 0.970, 8.56, 6.29, 0.609, 4.62, 0.447, 0.0434};
const double SigmaTotal::Y[] = { 56.08, 98.39, 27.56, 36.02, 31.79,
  1.51, -0.146, 13.08, -0.62, -0.060, 0.030, -0.0028, 0.00028};

// Type of the two incoming hadrons as function of the process number:
// = 0 : p/n ; = 1 : pi/rho/omega; = 2 : phi; = 3 : J/psi.
const int SigmaTotal::IHADATABLE[] = { 0, 0, 1, 1, 1, 2, 3, 1, 1,
  1, 2, 2, 3};
const int SigmaTotal::IHADBTABLE[] = { 0, 0, 0, 0, 0, 0, 0, 1, 2,
  3, 2, 3, 3};

// Hadron-Pomeron coupling beta(t) = beta(0) * exp(b*t).
const double SigmaTotal::BETA0[] = { 4.658, 2.926, 2.149, 0.208};
const double SigmaTotal::BHAD[]  = {   2.3,   1.4,   1.4,  0.23};

// Pomeron trajectory alpha(t) = 1 + epsilon + alpha' * t
const double SigmaTotal::ALPHAPRIME = 0.25;

// Conversion coefficients = 1/(16pi) * (mb <-> GeV^2) * (G_3P)^n,
// with n = 0 elastic, n = 1 single and n = 2 double diffractive.
const double SigmaTotal::CONVERTEL = 0.0510925;
const double SigmaTotal::CONVERTSD = 0.0336;
const double SigmaTotal::CONVERTDD = 0.0084;

// Diffractive mass spectrum starts at m + MMIN0 and has a low-mass
// enhancement, factor cRes, up to around m + mRes0.
const double SigmaTotal::MMIN0 = 0.28;
const double SigmaTotal::CRES  = 2.0;
const double SigmaTotal::MRES0 = 1.062;

// Parameters and coefficients for single diffractive scattering.
const int SigmaTotal::ISDTABLE[] = { 0, 0, 1, 1, 1, 2, 3, 4, 5,
  6, 7, 8, 9};
const double SigmaTotal::CSD[10][8] = {
  { 0.213, 0.0, -0.47, 150., 0.213, 0.0, -0.47, 150., } ,
  { 0.213, 0.0, -0.47, 150., 0.267, 0.0, -0.47, 100., } ,
  { 0.213, 0.0, -0.47, 150., 0.232, 0.0, -0.47, 110., } ,
  { 0.213, 7.0, -0.55, 800., 0.115, 0.0, -0.47, 110., } ,
  { 0.267, 0.0, -0.46,  75., 0.267, 0.0, -0.46,  75., } ,
  { 0.232, 0.0, -0.46,  85., 0.267, 0.0, -0.48, 100., } ,
  { 0.115, 0.0, -0.50,  90., 0.267, 6.0, -0.56, 420., } ,
  { 0.232, 0.0, -0.48, 110., 0.232, 0.0, -0.48, 110., } ,
  { 0.115, 0.0, -0.52, 120., 0.232, 6.0, -0.56, 470., } ,
  { 0.115, 5.5, -0.58, 570., 0.115, 5.5, -0.58, 570.  } };

// Parameters and coefficients for double diffractive scattering.
const int SigmaTotal::IDDTABLE[] = { 0, 0, 1, 1, 1, 2, 3, 4, 5,
  6, 7, 8, 9};
const double SigmaTotal::CDD[10][9] = {
  { 3.11, -7.34,  9.71, 0.068, -0.42, 1.31, -1.37,  35.0,  118., } ,
  { 3.11, -7.10,  10.6, 0.073, -0.41, 1.17, -1.41,  31.6,   95., } ,
  { 3.12, -7.43,  9.21, 0.067, -0.44, 1.41, -1.35,  36.5,  132., } ,
  { 3.13, -8.18, -4.20, 0.056, -0.71, 3.12, -1.12,  55.2, 1298., } ,
  { 3.11, -6.90,  11.4, 0.078, -0.40, 1.05, -1.40,  28.4,   78., } ,
  { 3.11, -7.13,  10.0, 0.071, -0.41, 1.23, -1.34,  33.1,  105., } ,
  { 3.12, -7.90, -1.49, 0.054, -0.64, 2.72, -1.13,  53.1,  995., } ,
  { 3.11, -7.39,  8.22, 0.065, -0.44, 1.45, -1.36,  38.1,  148., } ,
  { 3.18, -8.95, -3.37, 0.057, -0.76, 3.32, -1.12,  55.6, 1472., } ,
  { 4.18, -29.2,  56.2, 0.074, -1.36, 6.67, -1.14, 116.2, 6532.  } };
const double SigmaTotal::SPROTON = 0.880;
  
// MBR parameters. Integration of MBR cross section.
const int    SigmaTotal::NINTEG = 1000;
const int    SigmaTotal::NINTEG2 = 40;
const double SigmaTotal::HBARC2 = 0.38938;
// MBR: form factor appoximation with two exponents, [FFB1,FFB2] = GeV^-2.
const double SigmaTotal::FFA1 = 0.9;
const double SigmaTotal::FFA2 = 0.1;
const double SigmaTotal::FFB1 = 4.6;
const double SigmaTotal::FFB2 = 0.6;

//--------------------------------------------------------------------------

// Store pointer to Info and initialize data members.

void SigmaTotal::init(Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn) {

  // Store pointers.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;

  // Normalization of central diffractive cross section.
  zeroAXB    = settings.flag("SigmaTotal:zeroAXB");
  sigAXB2TeV = settings.parm("SigmaTotal:sigmaAXB2TeV");

  // User-set values for cross sections.
  setTotal   = settings.flag("SigmaTotal:setOwn");
  sigTotOwn  = settings.parm("SigmaTotal:sigmaTot");
  sigElOwn   = settings.parm("SigmaTotal:sigmaEl");
  sigXBOwn   = settings.parm("SigmaTotal:sigmaXB");
  sigAXOwn   = settings.parm("SigmaTotal:sigmaAX");
  sigXXOwn   = settings.parm("SigmaTotal:sigmaXX");
  sigAXBOwn  = settings.parm("SigmaTotal:sigmaAXB");

  // User-set values to dampen diffractive cross sections.
  doDampen   = settings.flag("SigmaDiffractive:dampen");
  maxXBOwn   = settings.parm("SigmaDiffractive:maxXB");
  maxAXOwn   = settings.parm("SigmaDiffractive:maxAX");
  maxXXOwn   = settings.parm("SigmaDiffractive:maxXX");
  maxAXBOwn  = settings.parm("SigmaDiffractive:maxAXB");

  // User-set values for handling of elastic sacattering.
  setElastic = settings.flag("SigmaElastic:setOwn");
  bSlope     = settings.parm("SigmaElastic:bSlope");
  rho        = settings.parm("SigmaElastic:rho");
  lambda     = settings.parm("SigmaElastic:lambda");
  tAbsMin    = settings.parm("SigmaElastic:tAbsMin");
  alphaEM0   = settings.parm("StandardModel:alphaEM0");

  // Parameters for diffractive systems.
  sigmaPomP  = settings.parm("Diffraction:sigmaRefPomP");
  mPomP      = settings.parm("Diffraction:mRefPomP");
  pPomP      = settings.parm("Diffraction:mPowPomP");
  
  // Parameters for MBR model.
  PomFlux     = settings.mode("Diffraction:PomFlux");
  MBReps      = settings.parm("Diffraction:MBRepsilon");
  MBRalpha    = settings.parm("Diffraction:MBRalpha");
  MBRbeta0    = settings.parm("Diffraction:MBRbeta0");
  MBRsigma0   = settings.parm("Diffraction:MBRsigma0");
  m2min       = settings.parm("Diffraction:MBRm2Min");
  dyminSDflux = settings.parm("Diffraction:MBRdyminSDflux");
  dyminDDflux = settings.parm("Diffraction:MBRdyminDDflux");
  dyminCDflux = settings.parm("Diffraction:MBRdyminCDflux");
  dyminSD     = settings.parm("Diffraction:MBRdyminSD");
  dyminDD     = settings.parm("Diffraction:MBRdyminDD");
  dyminCD     = settings.parm("Diffraction:MBRdyminCD");
  dyminSigSD  = settings.parm("Diffraction:MBRdyminSigSD");
  dyminSigDD  = settings.parm("Diffraction:MBRdyminSigDD");
  dyminSigCD  = settings.parm("Diffraction:MBRdyminSigCD");

}

//--------------------------------------------------------------------------

// Function that calculates the relevant properties.

bool SigmaTotal::calc( int idA, int idB, double eCM) {

  // Derived quantities.
  alP2 = 2. * ALPHAPRIME;
  s0   = 1. / ALPHAPRIME;

  // Reset everything to zero to begin with.
  isCalc = false;
  sigTot = sigEl = sigXB = sigAX = sigXX = sigAXB = sigND = bEl = s
    = bA = bB = 0.;

  // Order flavour of incoming hadrons: idAbsA < idAbsB (restore later).
  int idAbsA = abs(idA);
  int idAbsB = abs(idB);
  bool swapped = false;
  if (idAbsA > idAbsB) {
    swap( idAbsA, idAbsB);
    swapped = true;
  }
  double sameSign = (idA * idB > 0);

  // Find process number.
  int iProc                                       = -1;
  if (idAbsA > 1000) {
    iProc                                         = (sameSign) ? 0 : 1;
  } else if (idAbsA > 100 && idAbsB > 1000) {
    iProc                                         = (sameSign) ? 2 : 3;
    if (idAbsA/10 == 11 || idAbsA/10 == 22) iProc = 4;
    if (idAbsA > 300) iProc                       = 5;
    if (idAbsA > 400) iProc                       = 6;
    if (idAbsA > 900) iProc                       = 13;
  } else if (idAbsA > 100) {
    iProc                                         = 7;
    if (idAbsB > 300) iProc                       = 8;
    if (idAbsB > 400) iProc                       = 9;
    if (idAbsA > 300) iProc                       = 10;
    if (idAbsA > 300 && idAbsB > 400) iProc       = 11;
    if (idAbsA > 400) iProc                       = 12;
  }
  if (iProc == -1) return false;

  // Primitive implementation of Pomeron + p.
  if (iProc == 13) {
    s      = eCM*eCM;
    sigTot = sigmaPomP * pow( eCM / mPomP, pPomP);
    sigND  = sigTot;
    isCalc = true;
    return true;
  }

  // Find hadron masses and check that energy is enough.
  // For mesons use the corresponding vector meson masses.
  int idModA = (idAbsA > 1000) ? idAbsA : 10 * (idAbsA/10) + 3;
  int idModB = (idAbsB > 1000) ? idAbsB : 10 * (idAbsB/10) + 3;
  double mA  = particleDataPtr->m0(idModA);
  double mB  = particleDataPtr->m0(idModB);
  if (eCM < mA + mB + MMIN) {
    infoPtr->errorMsg("Error in SigmaTotal::calc: too low energy");
    return false;
  }
  
  // Evaluate the total cross section.
  s           = eCM*eCM;
  double sEps = pow( s, EPSILON);
  double sEta = pow( s, ETA);
  sigTot      = X[iProc] * sEps + Y[iProc] * sEta;

  // Slope of hadron form factors.
  int iHadA = IHADATABLE[iProc];
  int iHadB = IHADBTABLE[iProc];
  bA        = BHAD[iHadA];
  bB        = BHAD[iHadB];
   
  // Elastic slope parameter and cross section.
  bEl   = 2.*bA + 2.*bB + 4.*sEps - 4.2;
  sigEl = CONVERTEL * pow2(sigTot) / bEl;

  // Lookup coefficients for single and double diffraction.
  int iSD = ISDTABLE[iProc];
  int iDD = IDDTABLE[iProc];
  double sum1, sum2, sum3, sum4;

  // Single diffractive scattering A + B -> X + B cross section.
  mMinXBsave      = mA + MMIN0;
  double sMinXB   = pow2(mMinXBsave);
  mResXBsave      = mA + MRES0;
  double sResXB   = pow2(mResXBsave);
  double sRMavgXB = mResXBsave * mMinXBsave;
  double sRMlogXB = log(1. + sResXB/sMinXB);
  double sMaxXB   = CSD[iSD][0] * s + CSD[iSD][1];
  double BcorrXB  = CSD[iSD][2] + CSD[iSD][3] / s;
  sum1  = log( (2.*bB + alP2 * log(s/sMinXB))
    / (2.*bB + alP2 * log(s/sMaxXB)) ) / alP2;
  sum2  = CRES * sRMlogXB / (2.*bB + alP2 * log(s/sRMavgXB) + BcorrXB) ;
  sigXB = CONVERTSD * X[iProc] * BETA0[iHadB] * max( 0., sum1 + sum2);

  // Single diffractive scattering A + B -> A + X cross section.
  mMinAXsave      = mB + MMIN0;
  double sMinAX   = pow2(mMinAXsave);
  mResAXsave      = mB + MRES0;
  double sResAX   = pow2(mResAXsave);
  double sRMavgAX = mResAXsave * mMinAXsave;
  double sRMlogAX = log(1. + sResAX/sMinAX);
  double sMaxAX   = CSD[iSD][4] * s + CSD[iSD][5];
  double BcorrAX  = CSD[iSD][6] + CSD[iSD][7] / s;
  sum1  = log( (2.*bA + alP2 * log(s/sMinAX))
    / (2.*bA + alP2 * log(s/sMaxAX)) ) / alP2;
  sum2  = CRES * sRMlogAX / (2.*bA + alP2 * log(s/sRMavgAX) + BcorrAX) ;
  sigAX = CONVERTSD * X[iProc] * BETA0[iHadA] * max( 0., sum1 + sum2);
 
  // Order single diffractive correctly.
  if (swapped) {
    swap( bB, bA);
    swap( sigXB, sigAX);
    swap( mMinXBsave, mMinAXsave);
    swap( mResXBsave, mResAXsave);
   }

  // Double diffractive scattering A + B -> X1 + X2 cross section.
  double y0min = log( s * SPROTON / (sMinXB * sMinAX) ) ;
  double sLog  = log(s);
  double Delta0 = CDD[iDD][0] + CDD[iDD][1] / sLog
    + CDD[iDD][2] / pow2(sLog);
  sum1 = (y0min * (log( max( 1e-10, y0min/Delta0) ) - 1.) + Delta0)/ alP2;
  if (y0min < 0.) sum1 = 0.;
  double sMaxXX = s * ( CDD[iDD][3] + CDD[iDD][4] / sLog
    + CDD[iDD][5] / pow2(sLog) );
  double sLogUp = log( max( 1.1, s * s0 / (sMinXB * sRMavgAX) ));
  double sLogDn = log( max( 1.1, s * s0 / (sMaxXX * sRMavgAX) ));
  sum2   = CRES * log( sLogUp / sLogDn ) * sRMlogAX / alP2;
  sLogUp = log( max( 1.1, s * s0 / (sMinAX * sRMavgXB) ));
  sLogDn = log( max( 1.1, s * s0 / (sMaxXX * sRMavgXB) ));
  sum3   = CRES * log(sLogUp / sLogDn) * sRMlogXB / alP2;
  double BcorrXX =  CDD[iDD][6] + CDD[iDD][7] / eCM + CDD[iDD][8] / s;
  sum4   = pow2(CRES) * sRMlogAX * sRMlogXB
    / max( 0.1, alP2 * log( s * s0 / (sRMavgAX * sRMavgXB) ) + BcorrXX);
  sigXX  = CONVERTDD * X[iProc] * max( 0., sum1 + sum2 + sum3 + sum4);

  // Central diffractive scattering A + B -> A + X + B, only p and pbar.
  mMinAXBsave = 1.;
  if ( (idAbsA == 2212 || idAbsA == 2112)
    && (idAbsB == 2212 || idAbsB == 2112) && !zeroAXB) {
    double sMinAXB = pow2(mMinAXBsave);
    double sRefAXB = pow2(2000.);
    sigAXB = sigAXB2TeV * pow( log(0.06 * s / sMinAXB), 1.5 )
           / pow( log(0.06 * sRefAXB / sMinAXB), 1.5 );
  }

  // Option with user-requested damping of diffractive cross sections.
  if (doDampen) {
    sigXB  = sigXB  * maxXBOwn  / (sigXB  + maxXBOwn);
    sigAX  = sigAX  * maxAXOwn  / (sigAX  + maxAXOwn);
    sigXX  = sigXX  * maxXXOwn  / (sigXX  + maxXXOwn);
    sigAXB = sigAXB * maxAXBOwn / (sigAXB + maxAXBOwn);
  }
  
  // Calculate cross sections in MBR model.
  if (PomFlux == 5) calcMBRxsecs(idA, idB, eCM);

  // Option with user-set values for total and partial cross sections.
  // (Is not done earlier since want diffractive slopes anyway.)
  double sigNDOwn = sigTotOwn - sigElOwn - sigXBOwn - sigAXOwn - sigXXOwn
                  - sigAXBOwn;
  double sigElMax = sigEl;
  if (setTotal && sigNDOwn > 0.) {
    sigTot   = sigTotOwn;
    sigEl    = sigElOwn;
    sigXB    = sigXBOwn;
    sigAX    = sigAXOwn;
    sigXX    = sigXXOwn;
    sigAXB   = sigAXBOwn;
    sigElMax = sigEl;

    // Sub-option to set elastic parameters, including Coulomb contribution.
    if (setElastic) {
      bEl      = bSlope;
      sigEl    = CONVERTEL * pow2(sigTot) * (1. + rho*rho) / bSlope;
      sigElMax = 2. * (sigEl * exp(-bSlope * tAbsMin)
               + alphaEM0 * alphaEM0 / (4. * CONVERTEL * tAbsMin) );
    }
  }
  
  // Inelastic nondiffractive by unitarity.
  sigND = sigTot - sigEl - sigXB - sigAX - sigXX - sigAXB;
  if (sigND < 0.) infoPtr->errorMsg("Error in SigmaTotal::init: "
    "sigND < 0");
  else if (sigND < 0.4 * sigTot) infoPtr->errorMsg("Warning in "
    "SigmaTotal::init: sigND suspiciously low");

  // Upper estimate of elastic, including Coulomb term, where appropriate.
  sigEl = sigElMax;

  // Done.
  isCalc = true;
  return true;

}

//--------------------------------------------------------------------------

// Calculate parameters in the MBR model.

bool SigmaTotal::calcMBRxsecs( int idA, int idB, double eCM) {

  // Local variables.
  double sigtot, sigel, sigsd, sigdd, sigdpe;
  
  // MBR parameters locally.
  double eps       = MBReps;
  double alph      = MBRalpha;
  double beta0gev  = MBRbeta0;
  double beta0mb   = beta0gev * sqrt(HBARC2);
  double sigma0mb  = MBRsigma0;
  double sigma0gev = sigma0mb/HBARC2;
  double a1        = FFA1;
  double a2        = FFA2;
  double b1        = FFB1;
  double b2        = FFB2;
  
  // Calculate total and elastic cross sections.
  double ratio;
  if (eCM <= 1800.0) {
    double sign = (idA * idB > 0);
    sigtot = 16.79 * pow(s, 0.104) + 60.81 * pow(s, -0.32)
           - sign * 31.68 * pow(s, -0.54);
    ratio  = 0.100 * pow(s, 0.06) + 0.421 * pow(s, -0.52)
           + sign * 0.160 * pow(s, -0.6);
  } else {
    double sigCDF = 80.03;
    double sCDF   = pow2(1800.);
    double sF     = pow2(22.);
    sigtot = sigCDF + ( pow2( log(s / sF)) - pow2( log(sCDF / sF)) )
            * M_PI / (3.7 / HBARC2);
    ratio  = 0.066 + 0.0119 * log(s);
  }
  sigel=sigtot*ratio;
  
  // Integrate SD, DD and DPE(CD) cross sections.
  // Each cross section is obtained from the ratio of two integrals:
  // the Regge cross section and the renormalized flux.
  double cflux, csig, c1, step, f;
  double dymin0 = 0.;
  
  // Calculate SD cross section.
  double dymaxSD = log(s / m2min);
  cflux          = pow2(beta0gev) / (16. * M_PI);
  csig           = cflux * sigma0mb;

  // SD flux.
  c1             = cflux;
  double fluxsd  = 0.;
  step           = (dymaxSD - dyminSDflux) / NINTEG;
  for (int i = 0; i < NINTEG; ++i) {
    double dy    = dyminSDflux + (i + 0.5) * step;
    f            = exp(2. * eps * dy) * ( (a1 / (b1 + 2. * alph * dy))
                 + (a2 / (b2 + 2. * alph * dy)) );
    f           *= 0.5 * (1. + erf( (dy - dyminSD) / dyminSigSD));
    fluxsd       = fluxsd + step * c1 * f;
  }
  if (fluxsd < 1.) fluxsd = 1.;

  // Regge cross section.
  c1             = csig * pow(s, eps);
  sigsd          = 0.;
  sdpmax         = 0.;
  step           = (dymaxSD - dymin0) / NINTEG;
  for (int i = 0; i < NINTEG; ++i) {
    double dy    = dymin0 + (i + 0.5) * step;
    f            = exp(eps * dy) * ( (a1 / (b1 + 2. * alph * dy))
                 + (a2 / (b2 + 2. * alph * dy)) );
    f           *= 0.5 * (1. + erf( (dy - dyminSD) / dyminSigSD));
    if (f > sdpmax) sdpmax = f;
    sigsd        = sigsd + step * c1 * f;
  }
  sdpmax        *= 1.01;
  sigsd         /= fluxsd;

  // Calculate DD cross section.
  // Note: dymaxDD = ln(s * s0 /mMin^4) with s0 = 1 GeV^2.
  double dymaxDD = log(s / pow2(m2min));
  cflux          = sigma0gev / (16. * M_PI);
  csig           = cflux * sigma0mb;

  // DD flux.
  c1             = cflux / (2. * alph);
  double fluxdd  = 0.;
  step           = (dymaxDD - dyminDDflux) / NINTEG;
  for (int i = 0; i < NINTEG; ++i) {
    double dy    = dyminDDflux + (i + 0.5) * step;
    f            = (dymaxDD - dy) * exp(2. * eps * dy)
                 * ( exp(-2. * alph * dy * exp(-dy))
                 - exp(-2. * alph * dy * exp(dy)) ) / dy;
    f           *= 0.5 * (1. + erf( (dy - dyminDD) / dyminSigDD));
    fluxdd       = fluxdd + step * c1 * f;
  }
  if (fluxdd < 1.) fluxdd = 1.;
  
  // Regge cross section.
  c1             = csig * pow(s, eps) / (2. * alph);
  ddpmax         = 0.;
  sigdd          = 0.;
  step           = (dymaxDD - dymin0) / NINTEG;
  for (int i = 0; i < NINTEG; ++i) {
    double dy    = dymin0 + (i + 0.5) * step;
    f            = (dymaxDD - dy) * exp(eps * dy)
                 * ( exp(-2. * alph * dy * exp(-dy))
                 - exp(-2. * alph * dy * exp(dy)) ) / dy;
    f           *= 0.5 * (1. + erf( (dy - dyminDD) / dyminSigDD));
    if (f > ddpmax) ddpmax = f;
    sigdd        = sigdd + step * c1 * f;
  }
  ddpmax        *= 1.01;
  sigdd         /= fluxdd;
  
  // Calculate DPE (CD) cross section.
  double dymaxCD = log(s / m2min);
  cflux          = pow4(beta0gev) / pow2(16. * M_PI);
  csig           = cflux * pow2(sigma0mb / beta0mb);
  double dy1, dy2, f1, f2, step2;
    
  // DPE flux.
  c1             = cflux;
  double fluxdpe = 0.;
  step           = (dymaxCD - dyminCDflux) / NINTEG;
  for (int i = 0; i < NINTEG; ++i) {
    double dy    = dyminCDflux + (i + 0.5) * step;
    f            = 0.;
    step2        = (dy - dyminCDflux) / NINTEG2;
    for (int j = 0; j < NINTEG2; ++j) {
      double yc  = -0.5 * (dy - dyminCDflux) + (j + 0.5) * step2;
      dy1        = 0.5 * dy - yc;
      dy2        = 0.5 * dy + yc;
      f1         = exp(2. * eps * dy1) * ( (a1 / (b1 + 2. * alph * dy1))
                 + (a2 / (b2 + 2. * alph * dy1)) );
      f2         = exp(2. * eps * dy2) * ( (a1 / (b1 + 2. * alph * dy2))
                 + (a2 / (b2 + 2. * alph * dy2)) );
      f1        *= 0.5 * (1. + erf( (dy1 - 0.5 * dyminCD)
                 / (dyminSigCD / sqrt(2.))) );
      f2        *= 0.5 * (1. + erf( (dy2 - 0.5 *dyminCD)
                 / (dyminSigCD / sqrt(2.))) );
      f         += f1 * f2 * step2;
    }
    fluxdpe     += step * c1 * f;
  }
  if (fluxdpe < 1.) fluxdpe = 1.;
  
  // Regge cross section.
  c1             = csig * pow(s, eps);
  sigdpe         = 0.;
  dpepmax        = 0;
  step           = (dymaxCD - dymin0) / NINTEG;
  for (int i = 0; i < NINTEG; ++i) {
    double dy    = dymin0 + (i + 0.5) * step;
    f            = 0.;
    step2        = (dy - dymin0) / NINTEG2;
    for (int j = 0; j < NINTEG2; ++j) {
      double yc  = -0.5 * (dy - dymin0) + (j + 0.5) * step2;
      dy1        = 0.5 * dy - yc;
      dy2        = 0.5 * dy + yc;
      f1         = exp(eps * dy1) * ( (a1 / (b1 + 2. * alph * dy1))
                 + (a2 / (b2 + 2. * alph * dy1)) );
      f2         = exp(eps * dy2) * ( (a1 / (b1 + 2. * alph * dy2))
                 + (a2 / (b2 + 2. * alph * dy2)) );
      f1        *= 0.5 * (1. + erf( (dy1 - 0.5 * dyminCD)
                 / (dyminSigCD / sqrt(2.))) );
      f2        *= 0.5 * (1. + erf( (dy2 - 0.5 * dyminCD)
                 /(dyminSigCD / sqrt(2.))) );
      f         += f1 * f2 * step2;
    }
    sigdpe      += step * c1 * f;
    if ( f > dpepmax) dpepmax = f;
  }
  dpepmax       *= 1.01;
  sigdpe        /= fluxdpe;
  
  // Diffraction done. Now calculate total inelastic cross section.
  sigND  = sigtot - (2. * sigsd + sigdd + sigel + sigdpe);
  sigTot = sigtot;
  sigEl  = sigel;
  sigAX  = sigsd;
  sigXB  = sigsd;
  sigXX  = sigdd;
  sigAXB = sigdpe;

  return true;
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/PartonDistributions.cc0000644000175000017500000023075012357054762017505 0ustar  sunsun// PartonDistributions.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the PDF, LHAPDF,
// GRV94L, CTEQ5L,  MSTWpdf, CTEQ6pdf, GRVpiL, PomFix, PomH1FitAB,
// PomH1Jets, Lepton and NNPDF classes.

#include "Pythia8/PartonDistributions.h"
#include "Pythia8/LHAPDFInterface.h"

namespace Pythia8 {
 
//==========================================================================

// Base class for parton distribution functions.

//--------------------------------------------------------------------------

// Resolve valence content for assumed meson. Possibly modified later.

void PDF::setValenceContent() {

  // Subdivide meson by flavour content.
  if (idBeamAbs < 100 || idBeamAbs > 1000) return;
  int idTmp1 = idBeamAbs/100;
  int idTmp2 = (idBeamAbs/10)%10;

  // Find which is quark and which antiquark.
  if (idTmp1%2 == 0) {
    idVal1 =  idTmp1;
    idVal2 = -idTmp2;
  } else {
    idVal1 =  idTmp2;
    idVal2 = -idTmp1;
  }
  if (idBeam < 0) {
    idVal1 = -idVal1;
    idVal2 = -idVal2;
  }

  // Special case for Pomeron, to start off.
  if (idBeamAbs == 990) {
    idVal1 =  1;
    idVal2 = -1;
  }
}

//--------------------------------------------------------------------------

// Standard parton densities.

double PDF::xf(int id, double x, double Q2) {

  // Need to update if flavour, x or Q2 changed.
  // Use idSav = 9 to indicate that ALL flavours are up-to-date.
  // Assume that flavour and antiflavour always updated simultaneously.
  if ( (abs(idSav) != abs(id) && idSav != 9) || x != xSav || Q2 != Q2Sav)
    {idSav = id; xfUpdate(id, x, Q2); xSav = x; Q2Sav = Q2;}

  // Baryon and nondiagonal meson beams: only p, pbar, pi+, pi- for now.
  if (idBeamAbs == 2212 || idBeamAbs == 211) {
    int idNow = (idBeam > 0) ? id : -id;
    int idAbs = abs(id);
    if (idNow ==  0 || idAbs == 21) return max(0., xg);
    if (idNow ==  1) return max(0., xd);
    if (idNow == -1) return max(0., xdbar);
    if (idNow ==  2) return max(0., xu);
    if (idNow == -2) return max(0., xubar);
    if (idNow ==  3) return max(0., xs);
    if (idNow == -3) return max(0., xsbar);
    if (idAbs ==  4) return max(0., xc);
    if (idAbs ==  5) return max(0., xb);
    if (idAbs == 22) return max(0., xgamma);
    return 0.;

  // Baryon beams: n and nbar by isospin conjugation of p and pbar.
  } else if (idBeamAbs == 2112) {
    int idNow = (idBeam > 0) ? id : -id;
    int idAbs = abs(id);
    if (idNow ==  0 || idAbs == 21) return max(0., xg);
    if (idNow ==  1) return max(0., xu);
    if (idNow == -1) return max(0., xubar);
    if (idNow ==  2) return max(0., xd);
    if (idNow == -2) return max(0., xdbar);
    if (idNow ==  3) return max(0., xs);
    if (idNow == -3) return max(0., xsbar);
    if (idAbs ==  4) return max(0., xc);
    if (idAbs ==  5) return max(0., xb);
    if (idAbs == 22) return max(0., xgamma);
    return 0.;

  // Diagonal meson beams: only pi0, Pomeron for now.
  } else if (idBeam == 111 || idBeam == 990) {
    int idAbs = abs(id);
    if (id ==  0 || idAbs == 21) return max(0., xg);
    if (id == idVal1 || id == idVal2) return max(0., xu);
    if (idAbs <=  2) return max(0., xubar);
    if (idAbs ==  3) return max(0., xs);
    if (idAbs ==  4) return max(0., xc);
    if (idAbs ==  5) return max(0., xb);
    if (idAbs == 22) return max(0., xgamma);
    return 0.;


  // Lepton beam.
  } else {
    if (id == idBeam ) return max(0., xlepton);
    if (abs(id) == 22) return max(0., xgamma);
    return 0.;
  }
   
}

//--------------------------------------------------------------------------

// Only valence part of parton densities.

double PDF::xfVal(int id, double x, double Q2) {

  // Need to update if flavour, x or Q2 changed.
  // Use idSav = 9 to indicate that ALL flavours are up-to-date.
  // Assume that flavour and antiflavour always updated simultaneously.
  if ( (abs(idSav) != abs(id) && idSav != 9) || x != xSav || Q2 != Q2Sav)
    {idSav = id; xfUpdate(id, x, Q2); xSav = x; Q2Sav = Q2;}

  // Baryon and nondiagonal meson beams: only p, pbar, n, nbar, pi+, pi-.
  if (idBeamAbs == 2212) {
    int idNow = (idBeam > 0) ? id : -id;
    if (idNow == 1) return max(0., xdVal);
    if (idNow == 2) return max(0., xuVal);
    return 0.;
  } else if (idBeamAbs == 2112) {
    int idNow = (idBeam > 0) ? id : -id;
    if (idNow == 1) return max(0., xuVal);
    if (idNow == 2) return max(0., xdVal);
    return 0.;
  } else if (idBeamAbs == 211) {
    int idNow = (idBeam > 0) ? id : -id;
    if (idNow == 2 || idNow == -1) return max(0., xuVal);
    return 0.;

  // Diagonal meson beams: only pi0, Pomeron for now.
  } else if (idBeam == 111 || idBeam == 990) {
    if (id == idVal1 || id == idVal2) return max(0., xuVal);
    return 0.;

  // Lepton beam.
  } else {
    if (id == idBeam) return max(0., xlepton);
    return 0.;
  }
   
}

//--------------------------------------------------------------------------

// Only sea part of parton densities.

double PDF::xfSea(int id, double x, double Q2) {

  // Need to update if flavour, x or Q2 changed.
  // Use idSav = 9 to indicate that ALL flavours are up-to-date.
  // Assume that flavour and antiflavour always updated simultaneously.
  if ( (abs(idSav) != abs(id) && idSav != 9) || x != xSav || Q2 != Q2Sav)
    {idSav = id; xfUpdate(id, x, Q2); xSav = x; Q2Sav = Q2;}

  // Hadron beams.
  if (idBeamAbs > 100) {
    int idNow = (idBeam > 0) ? id : -id;
    int idAbs = abs(id);
    if (idNow == 0 || idAbs == 21) return max(0., xg);
    if (idBeamAbs == 2212) {
      if (idNow ==  1) return max(0., xdSea);
      if (idNow == -1) return max(0., xdbar);
      if (idNow ==  2) return max(0., xuSea);
      if (idNow == -2) return max(0., xubar);
    } else if (idBeamAbs == 2112) {
      if (idNow ==  1) return max(0., xuSea);
      if (idNow == -1) return max(0., xubar);
      if (idNow ==  2) return max(0., xdSea);
      if (idNow == -2) return max(0., xdbar);
    } else {
      if (idAbs <=  2) return max(0., xuSea);
    }
    if (idNow ==  3) return max(0., xs);
    if (idNow == -3) return max(0., xsbar);
    if (idAbs ==  4) return max(0., xc);
    if (idAbs ==  5) return max(0., xb);
    if (idAbs == 22) return max(0., xgamma);
    return 0.;

  // Lepton beam.
  } else {
    if (abs(id) == 22) return max(0., xgamma);
    return 0.;
  }
   
}
 
//==========================================================================

// Interface to the LHAPDF library.

//--------------------------------------------------------------------------
 
// Define static member of the LHAPDF class.
  
map< int, pair > LHAPDF::initializedSets;

//--------------------------------------------------------------------------

// Static method to find the nSet number corresponding to a name and member.
// Returns -1 if no such LHAPDF set has been initialized.
 
int LHAPDF::findNSet(string setName, int member) {
  for (map >::const_iterator
       i = initializedSets.begin(); i != initializedSets.end(); ++i) {
    int    iSet    = i->first;
    string iName   = i->second.first;
    int    iMember = i->second.second;
    if (iName == setName && iMember == member) return iSet;
  }
  return -1;
}

//--------------------------------------------------------------------------
 
// Static method to return the lowest non-occupied nSet number.

int LHAPDF::freeNSet() {
  for (int iSet = 1; iSet <= int(initializedSets.size()); ++iSet) {
    if (initializedSets.find(iSet) == initializedSets.end()) return iSet;
  }
  return initializedSets.size() + 1;
}

//--------------------------------------------------------------------------

// Initialize a parton density function from LHAPDF.

void LHAPDF::init(string setName, int member, Info* infoPtr) {
  
  // Determine whether the pdf set contains the photon or not.
  // So far only MRST2004QED and  NNPDF2.3QED.
  if ( setName == "MRST2004qed.LHgrid"
    || setName == "NNPDF23_lo_as_0130_qed.LHgrid"
    || setName == "NNPDF23_lo_as_0130_qed_mem0.LHgrid"
    || setName == "NNPDF23_lo_as_0119_qed_mem0.LHgrid"
    || setName == "NNPDF23_lo_as_0130_qed_mem0.LHgrid"
    || setName == "NNPDF23_nlo_as_0119_qed_mc.LHgrid"
    || setName == "NNPDF23_nlo_as_0119_qed_mc_mem0.LHgrid"
    || setName == "NNPDF23_nnlo_as_0119_qed_mc.LHgrid"
    || setName == "NNPDF23_nnlo_as_0119_qed_mc_mem0.LHgrid" ) hasPhoton = true;
  else hasPhoton = false;
  
  // If already initialized then need not do anything further.
  pair initializedNameMember = initializedSets[nSet];
  string initializedSetName   = initializedNameMember.first;
  int    initializedMember    = initializedNameMember.second;
  if (setName == initializedSetName && member == initializedMember) return;

  // Initialize set. If first character is '/' then assume that name
  // is given with path, else not.
  if (setName[0] == '/') LHAPDFInterface::initPDFsetM( nSet, setName);
  else LHAPDFInterface::initPDFsetByNameM( nSet, setName);

  // Check that not dummy library was linked and put nSet negative.
  isSet = (nSet >= 0);
  if (!isSet) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from LHAPDF::init: "
      "you try to use LHAPDF but did not link it");
    else cout << " Error from LHAPDF::init: you try to use LHAPDF "
      << "but did not link it" << endl;
  }

  // Initialize member.
  LHAPDFInterface::initPDFM(nSet, member);

  // Do not collect statistics on under/overflow to save time and space.
  LHAPDFInterface::setPDFparm( "NOSTAT" );
  LHAPDFInterface::setPDFparm( "LOWKEY" );
  
  // Save values to avoid unnecessary reinitializations.
  if (nSet > 0) initializedSets[nSet] = make_pair(setName, member);

}

//--------------------------------------------------------------------------

// Allow optional extrapolation beyond boundaries.

void LHAPDF::setExtrapolate(bool extrapol) {

   LHAPDFInterface::setPDFparm( (extrapol) ? "EXTRAPOLATE" : "18" );

}

//--------------------------------------------------------------------------

// Give the parton distribution function set from LHAPDF.

void LHAPDF::xfUpdate(int , double x, double Q2) {

  // Let LHAPDF do the evaluation of parton densities.
  double Q = sqrt( max( 0., Q2));

  // Use special call if photon included in proton.
  if (hasPhoton) {
    LHAPDFInterface::evolvePDFPHOTONM( nSet, x, Q, xfArray, xPhoton);
  }
  // Else use default LHAPDF call.
  else {
    LHAPDFInterface::evolvePDFM( nSet, x, Q, xfArray);
    xPhoton=0.0;
  }

  // Update values.
  xg     = xfArray[6];
  xu     = xfArray[8];
  xd     = xfArray[7];
  xs     = xfArray[9];
  xubar  = xfArray[4];
  xdbar  = xfArray[5];
  xsbar  = xfArray[3];
  xc     = xfArray[10];
  xb     = xfArray[11];
  xgamma = xPhoton;

  // Subdivision of valence and sea.
  xuVal  = xu - xubar;
  xuSea  = xubar;
  xdVal  = xd - xdbar;
  xdSea  = xdbar;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

// Gives the GRV 94 L (leading order) parton distribution function set
// in parametrized form. Authors: M. Glueck, E. Reya and A. Vogt.
// Ref: M. Glueck, E. Reya and A. Vogt, Z.Phys. C67 (1995) 433.

void GRV94L::xfUpdate(int , double x, double Q2) {
 
  // Common expressions. Constrain Q2 for which parametrization is valid.
  double mu2  = 0.23;
  double lam2 = 0.2322 * 0.2322;
  double s    = (Q2 > mu2) ? log( log(Q2/lam2) / log(mu2/lam2) ) : 0.;
  double ds   = sqrt(s);
  double s2   = s * s;
  double s3   = s2 * s;
 
  // uv :
  double nu  =  2.284 + 0.802 * s + 0.055 * s2;
  double aku =  0.590 - 0.024 * s;
  double bku =  0.131 + 0.063 * s;
  double au  = -0.449 - 0.138 * s - 0.076 * s2;
  double bu  =  0.213 + 2.669 * s - 0.728 * s2;
  double cu  =  8.854 - 9.135 * s + 1.979 * s2;
  double du  =  2.997 + 0.753 * s - 0.076 * s2;
  double uv  = grvv (x, nu, aku, bku, au, bu, cu, du);

  // dv :
  double nd  =  0.371 + 0.083 * s + 0.039 * s2;
  double akd =  0.376;
  double bkd =  0.486 + 0.062 * s;
  double ad  = -0.509 + 3.310 * s - 1.248 * s2;
  double bd  =  12.41 - 10.52 * s + 2.267 * s2;
  double cd  =  6.373 - 6.208 * s + 1.418 * s2;
  double dd  =  3.691 + 0.799 * s - 0.071 * s2;
  double dv  = grvv (x, nd, akd, bkd, ad, bd, cd, dd);
  
  // udb :
  double alx =  1.451;
  double bex =  0.271;
  double akx =  0.410 - 0.232 * s;
  double bkx =  0.534 - 0.457 * s;
  double agx =  0.890 - 0.140 * s;
  double bgx = -0.981;
  double cx  =  0.320 + 0.683 * s;
  double dx  =  4.752 + 1.164 * s + 0.286 * s2;
  double ex  =  4.119 + 1.713 * s;
  double esx =  0.682 + 2.978 * s;
  double udb = grvw (x, s, alx, bex, akx, bkx, agx, bgx, cx,
    dx, ex, esx);

  // del :
  double ne  =  0.082 + 0.014 * s + 0.008 * s2;
  double ake =  0.409 - 0.005 * s;
  double bke =  0.799 + 0.071 * s;
  double ae  = -38.07 + 36.13 * s - 0.656 * s2;
  double be  =  90.31 - 74.15 * s + 7.645 * s2;
  double ce  =  0.;
  double de  =  7.486 + 1.217 * s - 0.159 * s2;
  double del = grvv (x, ne, ake, bke, ae, be, ce, de);
 
  // sb :
  double sts =  0.;
  double als =  0.914;
  double bes =  0.577;
  double aks =  1.798 - 0.596 * s;
  double as  = -5.548 + 3.669 * ds - 0.616 * s;
  double bs  =  18.92 - 16.73 * ds + 5.168 * s;
  double dst =  6.379 - 0.350 * s  + 0.142 * s2;
  double est =  3.981 + 1.638 * s;
  double ess =  6.402;
  double sb  = grvs (x, s, sts, als, bes, aks, as, bs, dst, est, ess);
 
  // cb :
  double stc =  0.888;
  double alc =  1.01;
  double bec =  0.37;
  double akc =  0.;
  double ac  =  0.;
  double bc  =  4.24  - 0.804 * s;
  double dct =  3.46  - 1.076 * s;
  double ect =  4.61  + 1.49  * s;
  double esc =  2.555 + 1.961 * s;
  double chm = grvs (x, s, stc, alc, bec, akc, ac, bc, dct, ect, esc);
 
  // bb :
  double stb =  1.351;
  double alb =  1.00;
  double beb =  0.51;
  double akb =  0.;
  double ab  =  0.;
  double bb  =  1.848;
  double dbt =  2.929 + 1.396 * s;
  double ebt =  4.71  + 1.514 * s;
  double esb =  4.02  + 1.239 * s;
  double bot = grvs (x, s, stb, alb, beb, akb, ab, bb, dbt, ebt, esb);
 
  // gl :
  double alg =  0.524;
  double beg =  1.088;
  double akg =  1.742 - 0.930 * s;
  double bkg =                     - 0.399 * s2;
  double ag  =  7.486 - 2.185 * s;
  double bg  =  16.69 - 22.74 * s  + 5.779 * s2;
  double cg  = -25.59 + 29.71 * s  - 7.296 * s2;
  double dg  =  2.792 + 2.215 * s  + 0.422 * s2 - 0.104 * s3;
  double eg  =  0.807 + 2.005 * s;
  double esg =  3.841 + 0.316 * s;
  double gl  = grvw (x, s, alg, beg, akg, bkg, ag, bg, cg,
    dg, eg, esg);

  // Update values
  xg    = gl;
  xu    = uv + 0.5*(udb - del);
  xd    = dv + 0.5*(udb + del);
  xubar = 0.5*(udb - del);
  xdbar = 0.5*(udb + del);
  xs    = sb;
  xsbar = sb;
  xc    = chm;
  xb    = bot;

  // Subdivision of valence and sea.
  xuVal = uv;
  xuSea = xubar;
  xdVal = dv;
  xdSea = xdbar;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}

//--------------------------------------------------------------------------

double GRV94L::grvv (double x, double n, double ak, double bk, double a,
   double b, double c, double d) {

  double dx = sqrt(x);
  return n * pow(x, ak) * (1. + a * pow(x, bk) + x * (b + c * dx)) *
    pow(1. - x, d);

}

//--------------------------------------------------------------------------

double GRV94L::grvw (double x, double s, double al, double be, double ak,
  double bk, double a, double b, double c, double d, double e, double es) {
 
  double lx = log(1./x);
  return (pow(x, ak) * (a + x * (b + x * c)) * pow(lx, bk) + pow(s, al)
    * exp(-e + sqrt(es * pow(s, be) * lx))) * pow(1. - x, d);

}

//--------------------------------------------------------------------------
  
double GRV94L::grvs (double x, double s, double sth, double al, double be,
  double ak, double ag, double b, double d, double e, double es) {
 
  if(s <= sth) {
    return 0.;
  } else {
    double dx = sqrt(x);
    double lx = log(1./x);
    return pow(s - sth, al) / pow(lx, ak) * (1. + ag * dx + b * x) *
      pow(1. - x, d) * exp(-e + sqrt(es * pow(s, be) * lx));
  }
 
}
 
//==========================================================================

// Gives the CTEQ 5 L (leading order) parton distribution function set
// in parametrized form. Parametrization by J. Pumplin.
// Ref: CTEQ Collaboration, H.L. Lai et al., Eur.Phys.J. C12 (2000) 375.

// The range of (x, Q) covered by this parametrization of the QCD
// evolved parton distributions is 1E-6 < x < 1, 1.1 GeV < Q < 10 TeV.
// In the current implementation, densities are frozen at borders.

void CTEQ5L::xfUpdate(int , double x, double Q2) {

  // Constrain x and Q2 to range for which parametrization is valid.
  double Q = sqrt( max( 1., min( 1e8, Q2) ) );
  x = max( 1e-6, min( 1.-1e-10, x) );

  // Derived kinematical quantities.
  double y = - log(x);
  double u = log( x / 0.00001);
  double x1 = 1. - x;
  double x1L = log(1. - x);
  double sumUbarDbar = 0.;

  // Parameters of parametrizations.
  const double Qmin[8] = { 0., 0., 0., 0., 0., 0., 1.3, 4.5};
  const double alpha[8] = { 0.2987216, 0.3407552, 0.4491863, 0.2457668,
    0.5293999, 0.3713141, 0.03712017, 0.004952010 };
  const double ut1[8] = { 4.971265, 2.612618, -0.4656819, 3.862583,
    0.1895615, 3.753257, 4.400772, 5.562568 };
  const double ut2[8] = { -1.105128, -1.258304e5, -274.2390, -1.265969,
    -3.069097, -1.113085, -1.356116, -1.801317 };
  const double am[8][9][3] = {
    // d.
    { {  0.5292616E+01, -0.2751910E+01, -0.2488990E+01 },
      {  0.9714424E+00,  0.1011827E-01, -0.1023660E-01 },
      { -0.1651006E+02,  0.7959721E+01,  0.8810563E+01 },
      { -0.1643394E+02,  0.5892854E+01,  0.9348874E+01 },
      {  0.3067422E+02,  0.4235796E+01, -0.5112136E+00 },
      {  0.2352526E+02, -0.5305168E+01, -0.1169174E+02 },
      { -0.1095451E+02,  0.3006577E+01,  0.5638136E+01 },
      { -0.1172251E+02, -0.2183624E+01,  0.4955794E+01 },
      {  0.1662533E-01,  0.7622870E-02, -0.4895887E-03 } },
    // u.
    { {  0.9905300E+00, -0.4502235E+00,  0.1624441E+00 },
      {  0.8867534E+00,  0.1630829E-01, -0.4049085E-01 },
      {  0.8547974E+00,  0.3336301E+00,  0.1371388E+00 },
      {  0.2941113E+00, -0.1527905E+01,  0.2331879E+00 },
      {  0.3384235E+02,  0.3715315E+01,  0.8276930E+00 },
      {  0.6230115E+01,  0.3134639E+01, -0.1729099E+01 },
      { -0.1186928E+01, -0.3282460E+00,  0.1052020E+00 },
      { -0.8545702E+01, -0.6247947E+01,  0.3692561E+01 },
      {  0.1724598E-01,  0.7120465E-02,  0.4003646E-04 } },
    // g.
    { {  0.1193572E+03, -0.3886845E+01, -0.1133965E+01 },
      { -0.9421449E+02,  0.3995885E+01,  0.1607363E+01 },
      {  0.4206383E+01,  0.2485954E+00,  0.2497468E+00 },
      {  0.1210557E+03, -0.3015765E+01, -0.1423651E+01 },
      { -0.1013897E+03, -0.7113478E+00,  0.2621865E+00 },
      { -0.1312404E+01, -0.9297691E+00, -0.1562531E+00 },
      {  0.1627137E+01,  0.4954111E+00, -0.6387009E+00 },
      {  0.1537698E+00, -0.2487878E+00,  0.8305947E+00 },
      {  0.2496448E-01,  0.2457823E-02,  0.8234276E-03 } },
    // ubar + dbar.
    { {  0.2647441E+02,  0.1059277E+02, -0.9176654E+00 },
      {  0.1990636E+01,  0.8558918E-01,  0.4248667E-01 },
      { -0.1476095E+02, -0.3276255E+02,  0.1558110E+01 },
      { -0.2966889E+01, -0.3649037E+02,  0.1195914E+01 },
      { -0.1000519E+03, -0.2464635E+01,  0.1964849E+00 },
      {  0.3718331E+02,  0.4700389E+02, -0.2772142E+01 },
      { -0.1872722E+02, -0.2291189E+02,  0.1089052E+01 },
      { -0.1628146E+02, -0.1823993E+02,  0.2537369E+01 },
      { -0.1156300E+01, -0.1280495E+00,  0.5153245E-01 } },
    // dbar/ubar.
    { { -0.6556775E+00,  0.2490190E+00,  0.3966485E-01 },
      {  0.1305102E+01, -0.1188925E+00, -0.4600870E-02 },
      { -0.2371436E+01,  0.3566814E+00, -0.2834683E+00 },
      { -0.6152826E+01,  0.8339877E+00, -0.7233230E+00 },
      { -0.8346558E+01,  0.2892168E+01,  0.2137099E+00 },
      {  0.1279530E+02,  0.1021114E+00,  0.5787439E+00 },
      {  0.5858816E+00, -0.1940375E+01, -0.4029269E+00 },
      { -0.2795725E+02, -0.5263392E+00,  0.1290229E+01 },
      {  0.0000000E+00,  0.0000000E+00,  0.0000000E+00 } },
    // sbar.
    { {  0.1580931E+01, -0.2273826E+01, -0.1822245E+01 },
      {  0.2702644E+01,  0.6763243E+00,  0.7231586E-02 },
      { -0.1857924E+02,  0.3907500E+01,  0.5850109E+01 },
      { -0.3044793E+02,  0.2639332E+01,  0.5566644E+01 },
      { -0.4258011E+01, -0.5429244E+01,  0.4418946E+00 },
      {  0.3465259E+02, -0.5532604E+01, -0.4904153E+01 },
      { -0.1658858E+02,  0.2923275E+01,  0.2266286E+01 },
      { -0.1149263E+02,  0.2877475E+01, -0.7999105E+00 },
      {  0.0000000E+00,  0.0000000E+00,  0.0000000E+00 } },
    // cbar.
    { { -0.8293661E+00, -0.3982375E+01, -0.6494283E-01 },
      {  0.2754618E+01,  0.8338636E+00, -0.6885160E-01 },
      { -0.1657987E+02,  0.1439143E+02, -0.6887240E+00 },
      { -0.2800703E+02,  0.1535966E+02, -0.7377693E+00 },
      { -0.6460216E+01, -0.4783019E+01,  0.4913297E+00 },
      {  0.3141830E+02, -0.3178031E+02,  0.7136013E+01 },
      { -0.1802509E+02,  0.1862163E+02, -0.4632843E+01 },
      { -0.1240412E+02,  0.2565386E+02, -0.1066570E+02 },
      {  0.0000000E+00,  0.0000000E+00,  0.0000000E+00 } },
    // bbar.
    { { -0.6031237E+01,  0.1992727E+01, -0.1076331E+01 },
      {  0.2933912E+01,  0.5839674E+00,  0.7509435E-01 },
      { -0.8284919E+01,  0.1488593E+01, -0.8251678E+00 },
      { -0.1925986E+02,  0.2805753E+01, -0.3015446E+01 },
      { -0.9480483E+01, -0.9767837E+00, -0.1165544E+01 },
      {  0.2193195E+02, -0.1788518E+02,  0.9460908E+01 },
      { -0.1327377E+02,  0.1201754E+02, -0.6277844E+01 },
      {  0.0000000E+00,  0.0000000E+00,  0.0000000E+00 },
      {  0.0000000E+00,  0.0000000E+00,  0.0000000E+00 } } };

  // Loop over 8 different parametrizations. Check if inside allowed region.
  for (int i = 0; i < 8; ++i) {
    double answer = 0.;
    if (Q > max(Qmin[i], alpha[i])) {

      // Evaluate answer.
      double tmp = log(Q / alpha[i]);
      double sb = log(tmp);
      double sb1 = sb - 1.2;
      double sb2 = sb1*sb1;
      double af[9];
      for (int j = 0; j < 9; ++j)
        af[j] = am[i][j][0] + sb1 * am[i][j][1] + sb2 * am[i][j][2];
      double part1 = af[1] * pow( y, 1. + 0.01 * af[4]) * (1. + af[8] * u);
      double part2 = af[0] * x1 + af[3] * x;
      double part3 = x * x1 * (af[5] + af[6] * x1 + af[7] * x * x1);
      double part4 = (ut2[i] < -100.) ? ut1[i] * x1L + af[2] * x1L
                   : ut1[i] * x1L + af[2] * log(x1 + exp(ut2[i]));
      answer       = x * exp( part1 + part2 + part3 + part4);
      answer      *= 1. - Qmin[i] / Q;
    }

    // Store results.
    if (i == 0) xd = x * answer;
    else if (i == 1) xu = x * answer;
    else if (i == 2) xg = x * answer;
    else if (i == 3) sumUbarDbar = x * answer;
    else if (i == 4) { xubar = sumUbarDbar / (1. + answer);
      xdbar = sumUbarDbar * answer / (1. + answer); }
    else if (i == 5) {xs = x * answer; xsbar = xs;}
    else if (i == 6) xc = x * answer;
    else if (i == 7) xb = x * answer;
  }

  // Subdivision of valence and sea.
  xuVal = xu - xubar;
  xuSea = xubar;
  xdVal = xd - xdbar;
  xdSea = xdbar;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

// The MSTWpdf class.
// MSTW 2008 PDF's, specifically the LO one.
// Original C++ version by Jeppe Andersen.
// Modified by Graeme Watt .

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of parton flavours, x and Q2 grid points,
// bins below c and b thresholds.
const int    MSTWpdf::np     = 12;
const int    MSTWpdf::nx     = 64;
const int    MSTWpdf::nq     = 48;
const int    MSTWpdf::nqc0   = 4;
const int    MSTWpdf::nqb0   = 14;
  
// Range of (x, Q2) grid.
const double MSTWpdf::xmin   = 1e-6;
const double MSTWpdf::xmax   = 1.0;
const double MSTWpdf::qsqmin = 1.0;
const double MSTWpdf::qsqmax = 1e9;

// Array of x values.
const double MSTWpdf::xxInit[65] = {0., 1e-6, 2e-6, 4e-6, 6e-6, 8e-6,
  1e-5, 2e-5, 4e-5, 6e-5, 8e-5, 1e-4, 2e-4, 4e-4, 6e-4, 8e-4,
  1e-3, 2e-3, 4e-3, 6e-3, 8e-3, 1e-2, 1.4e-2, 2e-2, 3e-2, 4e-2, 6e-2,
  8e-2, 0.10, 0.125, 0.15, 0.175, 0.20, 0.225, 0.25, 0.275, 0.30,
  0.325, 0.35, 0.375, 0.40, 0.425, 0.45, 0.475, 0.50, 0.525, 0.55,
  0.575, 0.60, 0.625, 0.65, 0.675, 0.70, 0.725, 0.75, 0.775, 0.80,
  0.825, 0.85, 0.875, 0.90, 0.925, 0.95, 0.975, 1.0 };

// Array of Q values.
const double MSTWpdf::qqInit[49] = {0., 1.0, 1.25, 1.5, 0., 0., 2.5, 3.2,
  4.0, 5.0, 6.4, 8.0, 10., 12., 0., 0., 26.0, 40.0, 64.0, 1e2, 1.6e2,
  2.4e2, 4e2, 6.4e2, 1e3, 1.8e3, 3.2e3, 5.6e3, 1e4, 1.8e4, 3.2e4, 5.6e4,
  1e5, 1.8e5, 3.2e5, 5.6e5, 1e6, 1.8e6, 3.2e6, 5.6e6, 1e7, 1.8e7, 3.2e7,
  5.6e7, 1e8, 1.8e8, 3.2e8, 5.6e8, 1e9 };

//--------------------------------------------------------------------------

// Initialize PDF: read in data grid from file and set up interpolation.

void MSTWpdf::init(int iFitIn, string xmlPath, Info* infoPtr) {

  // Choice of fit among possibilities. Counters and temporary variables.
  iFit = iFitIn;
  int i,n,m,k,l,j;
  double dtemp;

  // Variables used for initialising c_ij array:
  double f[np+1][nx+1][nq+1];
  double f1[np+1][nx+1][nq+1]; // derivative w.r.t. x
  double f2[np+1][nx+1][nq+1]; // derivative w.r.t. q
  double f12[np+1][nx+1][nq+1];// cross derivative
  double f21[np+1][nx+1][nq+1];// cross derivative
  int wt[16][16]={{1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0},
                  {0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0},
                  {-3,0,0,3,0,0,0,0,-2,0,0,-1,0,0,0,0},
                  {2,0,0,-2,0,0,0,0,1,0,0,1,0,0,0,0},
                  {0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0},
                  {0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0},
                  {0,0,0,0,-3,0,0,3,0,0,0,0,-2,0,0,-1},
                  {0,0,0,0,2,0,0,-2,0,0,0,0,1,0,0,1},
                  {-3,3,0,0,-2,-1,0,0,0,0,0,0,0,0,0,0},
                  {0,0,0,0,0,0,0,0,-3,3,0,0,-2,-1,0,0},
                  {9,-9,9,-9,6,3,-3,-6,6,-6,-3,3,4,2,1,2},
                  {-6,6,-6,6,-4,-2,2,4,-3,3,3,-3,-2,-1,-1,-2},
                  {2,-2,0,0,1,1,0,0,0,0,0,0,0,0,0,0},
                  {0,0,0,0,0,0,0,0,2,-2,0,0,1,1,0,0},
                  {-6,6,-6,6,-3,-3,3,3,-4,4,2,-2,-2,-2,-1,-1},
                  {4,-4,4,-4,2,2,-2,-2,2,-2,-2,2,1,1,1,1}};
  double xxd,d1d2,cl[16],x[16],d1,d2,y[5],y1[5],y2[5],y12[5];
  double mc2,mb2,eps=1e-6; // q^2 grid points at mc2+eps, mb2+eps
  
    // Select which data file to read for current fit.
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";
  string fileName = "  ";
  if (iFit == 1) fileName = "mrstlostar.00.dat";
  if (iFit == 2) fileName = "mrstlostarstar.00.dat";
  if (iFit == 3) fileName = "mstw2008lo.00.dat";
  if (iFit == 4) fileName = "mstw2008nlo.00.dat";

  // Open data file.
  ifstream data_file( (xmlPath + fileName).c_str() );
  if (!data_file.good()) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from MSTWpdf::init: "
      "did not find parametrization file ", fileName);
    else cout << " Error from MSTWpdf::init: "
      << "did not find parametrization file " << fileName << endl;
    isSet = false;
    return;
  }

  // Read distance, tolerance, heavy quark masses
  // and alphaS values from file.
  char comma;
  int nExtraFlavours;
  data_file.ignore(256,'\n');
  data_file.ignore(256,'\n');
  data_file.ignore(256,'='); data_file >> distance >> tolerance;
  data_file.ignore(256,'='); data_file >> mCharm;
  data_file.ignore(256,'='); data_file >> mBottom;
  data_file.ignore(256,'='); data_file >> alphaSQ0;
  data_file.ignore(256,'='); data_file >> alphaSMZ;
  data_file.ignore(256,'='); data_file >> alphaSorder >> comma >> alphaSnfmax;
  data_file.ignore(256,'='); data_file >> nExtraFlavours;
  data_file.ignore(256,'\n');
  data_file.ignore(256,'\n');
  data_file.ignore(256,'\n');

  // Use c and b quark masses for outlay of qq array.
  for (int iqq = 0; iqq < 49; ++iqq) qq[iqq] = qqInit[iqq];
  mc2=mCharm*mCharm;
  mb2=mBottom*mBottom;
  qq[4]=mc2;
  qq[5]=mc2+eps;
  qq[14]=mb2;
  qq[15]=mb2+eps;

  // Check that the heavy quark masses are sensible.
  if (mc2 < qq[3] || mc2 > qq[6]) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from MSTWpdf::init: "
      "invalid mCharm");
    else cout << " Error from MSTWpdf::init: invalid mCharm" << endl;
    isSet = false;
    return;
  }
  if (mb2 < qq[13] || mb2 > qq[16]) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from MSTWpdf::init: "
      "invalid mBottom");
    else cout << " Error from MSTWpdf::init: invalid mBottom" << endl;
    isSet = false;
    return;
  }

  // The nExtraFlavours variable is provided to aid compatibility
  // with future grids where, for example, a photon distribution
  // might be provided (cf. the MRST2004QED PDFs).
  if (nExtraFlavours < 0 || nExtraFlavours > 1) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from MSTWpdf::init: "
      "invalid nExtraFlavours");
    else cout << " Error from MSTWpdf::init: invalid nExtraFlavours" << endl;
    isSet = false;
    return;
  }

  // Now read in the grids from the grid file.
  for (n=1;n<=nx-1;n++)
    for (m=1;m<=nq;m++) {
      for (i=1;i<=9;i++)
        data_file >> f[i][n][m];
      if (alphaSorder==2) { // only at NNLO
        data_file >> f[10][n][m]; // = chm-cbar
        data_file >> f[11][n][m]; // = bot-bbar
      }
      else {
        f[10][n][m] = 0.; // = chm-cbar
        f[11][n][m] = 0.; // = bot-bbar
      }
      if (nExtraFlavours>0)
        data_file >> f[12][n][m];   // = photon
      else
        f[12][n][m] = 0.; // photon
      if (data_file.eof()) {
        if (infoPtr != 0) infoPtr->errorMsg("Error from MSTWpdf::init: "
          "failed to read in data file");
        else cout << " Error from MSTWpdf::init: failed to read in data file"
          << endl;
        isSet = false;
        return;
      }
    }
  
  // Check that ALL the file contents have been read in.
  data_file >> dtemp;
  if (!data_file.eof()) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from MSTWpdf::init: "
      "failed to read in data file");
    else cout << " Error from MSTWpdf::init: failed to read in data file"
      << endl;
    isSet = false;
    return;
  }
  
  // Close the datafile.
  data_file.close();
  
  // PDFs are identically zero at x = 1.
  for (i=1;i<=np;i++)
    for (m=1;m<=nq;m++)
      f[i][nx][m]=0.0;
  
  // Set up the new array in log10(x) and log10(qsq).
  for (i=1;i<=nx;i++)
    xx[i]=log10(xxInit[i]);
  for (m=1;m<=nq;m++)
    qq[m]=log10(qq[m]);
  
  // Now calculate the derivatives used for bicubic interpolation.
  for (i=1;i<=np;i++) {

    // Start by calculating the first x derivatives
    // along the first x value:
    for (m=1;m<=nq;m++) {
      f1[i][1][m]=polderivative1(xx[1],xx[2],xx[3],f[i][1][m],f[i][2][m],
        f[i][3][m]);
      // Then along the rest (up to the last):
      for (k=2;kpow(10.,qq[nqc0]) && qsqpow(10.,qq[nqb0]) && qsqxmax) return 0.;

  if (qsqqsqmax) {
    interpolate=0;
  }
  
  if (f==0) ip=1;
  else if (f>=1 && f<=5) ip=f+1;
  else if (f<=-1 && f>=-5) ip=-f+1;
  else if (f>=7 && f<=11) ip=f;
  else if (f==13) ip=12;
  else if (abs(f)==6 || f==12) return 0.;
  else return 0.;

  // Interpolation in log10(x), log10(qsq):
  xxx=log10(x);
  qqq=log10(qsq);

  if (interpolate==1) { // do usual interpolation
    parton_pdf=parton_interpolate(ip,xxx,qqq);
    if (f<=-1 && f>=-5) // antiquark = quark - valence
      parton_pdf -= parton_interpolate(ip+5,xxx,qqq);
  }
  else if (interpolate==-1) { // extrapolate to low Q^2
    
    if (x=-5) { // antiquark = quark - valence
        parton_pdf -= parton_extrapolate(ip+5,xxx,log10(qsqmin));
        parton_pdf1 -= parton_extrapolate(ip+5,xxx,log10(1.01*qsqmin));
      }
    }
    else { // do usual interpolation
      parton_pdf = parton_interpolate(ip,xxx,log10(qsqmin));
      parton_pdf1 = parton_interpolate(ip,xxx,log10(1.01*qsqmin));
      if (f<=-1 && f>=-5) { // antiquark = quark - valence
        parton_pdf -= parton_interpolate(ip+5,xxx,log10(qsqmin));
        parton_pdf1 -= parton_interpolate(ip+5,xxx,log10(1.01*qsqmin));
      }
    }
    // Calculate the anomalous dimension, dlog(xf)/dlog(qsq),
    // evaluated at qsqmin.  Then extrapolate the PDFs to low
    // qsq < qsqmin by interpolating the anomalous dimenion between
    // the value at qsqmin and a value of 1 for qsq << qsqmin.
    // If value of PDF at qsqmin is very small, just set
    // anomalous dimension to 1 to prevent rounding errors.
    if (fabs(parton_pdf) >= 1.e-5)
      anom = max(-2.5, (parton_pdf1-parton_pdf)/parton_pdf/0.01);
    else anom = 1.;
    parton_pdf = parton_pdf*pow(qsq/qsqmin,anom*qsq/qsqmin+1.-qsq/qsqmin);

  }
  else { // extrapolate outside PDF grid to low x or high Q^2
    parton_pdf = parton_extrapolate(ip,xxx,qqq);
    if (f<=-1 && f>=-5) // antiquark = quark - valence
      parton_pdf -= parton_extrapolate(ip+5,xxx,qqq);
  }

  return parton_pdf;
}

//--------------------------------------------------------------------------

// Interpolate PDF value inside data grid.

double MSTWpdf::parton_interpolate(int ip, double xxx, double qqq) {

  double g, t, u;
  int    n, m, l;

  n=locate(xx,nx,xxx); // 0: below xmin, nx: above xmax
  m=locate(qq,nq,qqq); // 0: below qsqmin, nq: above qsqmax

  t=(xxx-xx[n])/(xx[n+1]-xx[n]);
  u=(qqq-qq[m])/(qq[m+1]-qq[m]);

  // Assume PDF proportional to (1-x)^p as x -> 1.
  if (n==nx-1) {
    double g0=((c[ip][n][m][1][4]*u+c[ip][n][m][1][3])*u
    +c[ip][n][m][1][2])*u+c[ip][n][m][1][1]; // value at xx[n]
    double g1=((c[ip][n-1][m][1][4]*u+c[ip][n-1][m][1][3])*u
           +c[ip][n-1][m][1][2])*u+c[ip][n-1][m][1][1]; // value at xx[n-1]
    double p = 1.0;
    if (g0>0.0&&g1>0.0) p = log(g1/g0)/log((xx[n+1]-xx[n-1])/(xx[n+1]-xx[n]));
    if (p<=1.0) p=1.0;
    g=g0*pow((xx[n+1]-xxx)/(xx[n+1]-xx[n]),p);
  }

  // Usual interpolation.
  else {
    g=0.0;
    for (l=4;l>=1;l--) {
      g=t*g+((c[ip][n][m][l][4]*u+c[ip][n][m][l][3])*u
         +c[ip][n][m][l][2])*u+c[ip][n][m][l][1];
    }
  }

  return g;
}

//--------------------------------------------------------------------------

// Extrapolate PDF value outside data grid.


double MSTWpdf::parton_extrapolate(int ip, double xxx, double qqq) {

  double parton_pdf=0.;
  int n,m;

  n=locate(xx,nx,xxx); // 0: below xmin, nx: above xmax
  m=locate(qq,nq,qqq); // 0: below qsqmin, nq: above qsqmax
  
  if (n==0&&(m>0&&m1e-3 && f1>1e-3 ) { // if values are positive, keep them so
      f0=log(f0);
      f1=log(f1);
      parton_pdf=exp(f0+(f1-f0)/(xx[2]-xx[1])*(xxx-xx[1]));
    } else // otherwise just extrapolate in the value
      parton_pdf=f0+(f1-f0)/(xx[2]-xx[1])*(xxx-xx[1]);
    
  } if (n>0&&m==nq) { // if extrapolation into large q only
    
    double f0,f1;
    f0=parton_interpolate(ip,xxx,qq[nq]);
    f1=parton_interpolate(ip,xxx,qq[nq-1]);
    if ( f0>1e-3 && f1>1e-3 ) { // if values are positive, keep them so
      f0=log(f0);
      f1=log(f1);
      parton_pdf=exp(f0+(f0-f1)/(qq[nq]-qq[nq-1])*(qqq-qq[nq]));
    } else // otherwise just extrapolate in the value
      parton_pdf=f0+(f0-f1)/(qq[nq]-qq[nq-1])*(qqq-qq[nq]);
    
  } if (n==0&&m==nq) { // if extrapolation into large q AND small x
    
    double f0,f1;
    f0=parton_extrapolate(ip,xx[1],qqq);
    f1=parton_extrapolate(ip,xx[2],qqq);
    if ( f0>1e-3 && f1>1e-3 ) { // if values are positive, keep them so
      f0=log(f0);
      f1=log(f1);
      parton_pdf=exp(f0+(f1-f0)/(xx[2]-xx[1])*(xxx-xx[1]));
    } else // otherwise just extrapolate in the value
      parton_pdf=f0+(f1-f0)/(xx[2]-xx[1])*(xxx-xx[1]);
    
  }
  
  return parton_pdf;
}

//--------------------------------------------------------------------------

// Returns an integer j such that x lies inbetween xloc[j] and xloc[j+1].
// unit offset of increasing ordered array xloc assumed.
// n is the length of the array (xloc[n] highest element).

int MSTWpdf::locate(double xloc[],int n,double x) {
  int ju,jm,jl(0),j;
  ju=n+1;
  
  while (ju-jl>1) {
    jm=(ju+jl)/2; // compute a mid point.
    if ( x>= xloc[jm])
      jl=jm;
    else ju=jm;
  }
  if (x==xloc[1]) j=1;
  else if (x==xloc[n]) j=n-1;
  else j=jl;
  
  return j;
}

//--------------------------------------------------------------------------

// Returns the estimate of the derivative at x1 obtained by a polynomial
// interpolation using the three points (x_i,y_i).

double MSTWpdf::polderivative1(double x1, double x2, double x3, double y1,
  double y2, double y3) {

  return (x3*x3*(y1-y2)+2.0*x1*(x3*(-y1+y2)+x2*(y1-y3))+x2*x2*(-y1+y3)
          +x1*x1*(-y2+y3))/((x1-x2)*(x1-x3)*(x2-x3));

}

//--------------------------------------------------------------------------

// Returns the estimate of the derivative at x2 obtained by a polynomial
// interpolation using the three points (x_i,y_i).

double MSTWpdf::polderivative2(double x1, double x2, double x3, double y1,
  double y2, double y3) {

  return (x3*x3*(y1-y2)-2.0*x2*(x3*(y1-y2)+x1*(y2-y3))+x2*x2*(y1-y3)
          +x1*x1*(y2-y3))/((x1-x2)*(x1-x3)*(x2-x3));

}

//--------------------------------------------------------------------------

// Returns the estimate of the derivative at x3 obtained by a polynomial
// interpolation using the three points (x_i,y_i).

double MSTWpdf::polderivative3(double x1, double x2, double x3, double y1,
  double y2, double y3) {

  return (x3*x3*(-y1+y2)+2.0*x2*x3*(y1-y3)+x1*x1*(y2-y3)+x2*x2*(-y1+y3)
          +2.0*x1*x3*(-y2+y3))/((x1-x2)*(x1-x3)*(x2-x3));

}
 
//==========================================================================

// The CTEQ6pdf class.
// Code for handling CTEQ6L, CTEQ6L1, CTEQ66.00, CT09MC1, CT09MC2, (CT09MCS?).

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Stay away from xMin, xMax, Qmin, Qmax limits.
const double CTEQ6pdf::EPSILON = 1e-6;

// Assumed approximate power of small-x behaviour for interpolation.
const double CTEQ6pdf::XPOWER = 0.3;

//--------------------------------------------------------------------------

// Initialize PDF: read in data grid from file.

void CTEQ6pdf::init(int iFitIn, string xmlPath, Info* infoPtr) {

  // Choice of fit among possibilities.
  iFit = iFitIn;
  
  // Select which data file to read for current fit.
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";
  string fileName = "  ";
  if (iFit == 1) fileName = "cteq6l.tbl";
  if (iFit == 2) fileName = "cteq6l1.tbl";
  if (iFit == 3) fileName = "ctq66.00.pds";
  if (iFit == 4) fileName = "ct09mc1.pds";
  if (iFit == 5) fileName = "ct09mc2.pds";
  if (iFit == 6) fileName = "ct09mcs.pds";
  bool isPdsGrid = (iFit > 2);

  // Open data file.
  ifstream pdfgrid( (xmlPath + fileName).c_str() );
  if (!pdfgrid.good()) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from CTEQ6pdf::init: "
      "did not find parametrization file ", fileName);
    else cout << " Error from CTEQ6pdf::init: "
      << "did not find parametrization file " << fileName << endl;
    isSet = false;
    return;
  }

  // Read in common information.
  int    iDum;
  double orderTmp, nQTmp, qTmp, rDum;
  string line;
  getline( pdfgrid, line);
  getline( pdfgrid, line);
  getline( pdfgrid, line);
  istringstream is1(line);
  is1 >> orderTmp >> nQTmp >> lambda >> mQ[1] >> mQ[2] >> mQ[3]
     >> mQ[4] >> mQ[5] >> mQ[6];
  order  = int(orderTmp + 0.5);
  nQuark = int(nQTmp + 0.5);
  getline( pdfgrid, line);

  // Read in information for the .pds grid format.
  if (isPdsGrid) {
    getline( pdfgrid, line);
    istringstream is2(line);
    is2 >> iDum >> iDum >> iDum >> nfMx >> mxVal >> iDum;
    if (mxVal > 4) mxVal = 3;
    getline( pdfgrid, line);
    getline( pdfgrid, line);
    istringstream is3(line);
    is3 >> nX >> nT >> iDum >> nG >> iDum;
    for (int i = 0; i < nG + 2; ++i) getline( pdfgrid, line);
    getline( pdfgrid, line);
    istringstream is4(line);
    is4 >> qIni >> qMax;
    for (int iT = 0; iT <= nT; ++iT) {
      getline( pdfgrid, line);
      istringstream is5(line);
      is5 >> qTmp;
      tv[iT] = log( log( qTmp/lambda));
    }
    getline( pdfgrid, line);
    getline( pdfgrid, line);
    istringstream is6(line);
    is6 >> xMin >> rDum;
    int nPackX = 6;
    xv[0] = 0.;
    for (int iXrng = 0; iXrng < int( (nX + nPackX - 1) / nPackX); ++iXrng) {
      getline( pdfgrid, line);
      istringstream is7(line);
      for (int iX = nPackX * iXrng + 1; iX <= nPackX * (iXrng + 1); ++iX)
      if (iX <= nX) is7 >> xv[iX];
    }
  }

  // Read in information for the .tbl grid format.
  else {
    mxVal = 2;
    getline( pdfgrid, line);
    istringstream is2(line);
    is2 >> nX >> nT >> nfMx;
    getline( pdfgrid, line);
    getline( pdfgrid, line);
    istringstream is3(line);
    is3 >> qIni >> qMax;
    int    nPackT = 6;
    for (int iTrng = 0; iTrng < int( (nT + nPackT) / nPackT); ++iTrng) {
      getline( pdfgrid, line);
      istringstream is4(line);
      for (int iT = nPackT * iTrng; iT < nPackT * (iTrng + 1); ++iT)
      if (iT <= nT) {
        is4 >> qTmp;
        tv[iT] = log( log( qTmp / lambda) );
      }
    }
    getline( pdfgrid, line);
    getline( pdfgrid, line);
    istringstream is5(line);
    is5 >> xMin;
    int nPackX = 6;
    for (int iXrng = 0; iXrng < int( (nX + nPackX) / nPackX); ++iXrng) {
      getline( pdfgrid, line);
      istringstream is6(line);
      for (int iX = nPackX * iXrng; iX < nPackX * (iXrng + 1); ++iX)
      if (iX <= nX) is6 >> xv[iX];
    }
  }

  // Read in the grid proper.
  getline( pdfgrid, line);
  int nBlk  = (nX + 1) * (nT + 1);
  int nPts  = nBlk * (nfMx + 1 + mxVal);
  int nPack = (isPdsGrid) ? 6 : 5;
  for (int iRng = 0; iRng < int( (nPts + nPack - 1) / nPack); ++iRng) {
    getline( pdfgrid, line);
    istringstream is8(line);
    for (int i = nPack * iRng + 1; i <= nPack * (iRng + 1); ++i)
      if (i <= nPts) is8 >> upd[i];
  }

  // Initialize x grid mapped to x^0.3.
  xvpow[0] = 0.;
  for (int iX = 1; iX <= nX; ++iX)  xvpow[iX] = pow(xv[iX], XPOWER);

  // Set x and Q borders with some margin.
  xMinEps = xMin * (1. + EPSILON);
  xMaxEps = 1. - EPSILON;
  qMinEps = qIni * (1. + EPSILON);
  qMaxEps = qMax * (1. - EPSILON);

  // Initialize (x, Q) values of previous call.
  xLast = 0.;
  qLast = 0.;
 
}

//--------------------------------------------------------------------------

// Update PDF values.

void CTEQ6pdf::xfUpdate(int , double x, double Q2) {

  // Update using CTEQ6 routine, within allowed (x, q) range.
  double xEps = max( xMinEps, x);
  double qEps = max( qMinEps, min( qMaxEps, sqrtpos(Q2) ) );
  
  // Gluon:
  double glu  = xEps * parton6( 0, xEps, qEps);
  // Sea quarks (note wrong order u, d):
  double bot  = xEps * parton6( 5, xEps, qEps);
  double chm  = xEps * parton6( 4, xEps, qEps);
  double str  = xEps * parton6( 3, xEps, qEps);
  double usea = xEps * parton6(-1, xEps, qEps);
  double dsea = xEps * parton6(-2, xEps, qEps);
  // Valence quarks:
  double upv  = xEps * parton6( 1, xEps, qEps) - usea;
  double dnv  = xEps * parton6( 2, xEps, qEps) - dsea;

  // Transfer to Pythia notation.
  xg     = glu;
  xu     = upv + usea;
  xd     = dnv + dsea;
  xubar  = usea;
  xdbar  = dsea;
  xs     = str;
  xsbar  = str;
  xc     = chm;
  xb     = bot;
  xgamma = 0.;

  // Subdivision of valence and sea.
  xuVal  = upv;
  xuSea  = usea;
  xdVal  = dnv;
  xdSea  = dsea;

  // idSav = 9 to indicate that all flavours reset.
  idSav  = 9;

}

//--------------------------------------------------------------------------

// Returns the PDF value for parton of flavour iParton at x, q.

double CTEQ6pdf::parton6(int iParton, double x, double q) {

  // Put zero for large x. Parton table and interpolation variables.
  if (x > xMaxEps) return 0.;
  int    iP = (iParton > mxVal) ? -iParton : iParton;
  double ss = pow( x, XPOWER);
  double tt = log( log(q / lambda) );

  // Find location in grid.Skip if same as in latest call.
  if (x != xLast || q != qLast) {

    // Binary search in x grid.
    iGridX  = 0;
    iGridLX = -1;
    int ju  = nX + 1;
    int jm  = 0;
    while (ju - iGridLX > 1 && jm >= 0) {
      jm = (ju + iGridLX) / 2;
      if (x >= xv[jm]) iGridLX = jm;
      else ju = jm;
    }

    // Separate acceptable from unacceptable grid points.
    if      (iGridLX <= -1)     return 0.;
    else if (iGridLX == 0)      iGridX = 0;
    else if (iGridLX <= nX - 2) iGridX = iGridLX - 1;
    else if (iGridLX == nX - 1) iGridX = iGridLX - 2;
    else                        return 0.;

    // Expressions for interpolation in x Grid.
    if (iGridLX > 1 && iGridLX < nX - 1) {
      double svec1 = xvpow[iGridX];
      double svec2 = xvpow[iGridX+1];
      double svec3 = xvpow[iGridX+2];
      double svec4 = xvpow[iGridX+3];
      double s12   = svec1 - svec2;
      double s13   = svec1 - svec3;
      xConst[8]    = svec2 - svec3;
      double s24   = svec2 - svec4;
      double s34   = svec3 - svec4;
      xConst[6]    = ss - svec2;
      xConst[7]    = ss - svec3;
      xConst[0]    = s13 / xConst[8];
      xConst[1]    = s12 / xConst[8];
      xConst[2]    = s34 / xConst[8];
      xConst[3]    = s24 / xConst[8];
      double s1213 = s12 + s13;
      double s2434 = s24 + s34;
      double sdet  = s12 * s34 - s1213 * s2434;
      double tmp   = xConst[6] * xConst[7] / sdet;
      xConst[4]    = (s34 * xConst[6] - s2434 * xConst[7]) * tmp / s12;
      xConst[5]    = (s1213 * xConst[6] - s12 * xConst[7]) * tmp / s34;
    }

    // Binary search in Q grid.
    iGridQ  = 0;
    iGridLQ = -1;
    ju      = nT + 1;
    jm      = 0;
    while (ju - iGridLQ > 1 && jm >= 0) {
      jm = (ju + iGridLQ) / 2;
      if (tt >= tv[jm]) iGridLQ = jm;
      else ju = jm;
    }
    if      (iGridLQ == 0)      iGridQ = 0;
    else if (iGridLQ <= nT - 2) iGridQ = iGridLQ - 1;
    else                        iGridQ = nT - 3;

    // Expressions for interpolation in Q Grid.
    if (iGridLQ > 0 && iGridLQ < nT - 1) {
      double tvec1 = tv[iGridQ];
      double tvec2 = tv[iGridQ+1];
      double tvec3 = tv[iGridQ+2];
      double tvec4 = tv[iGridQ+3];
      double t12   = tvec1 - tvec2;
      double t13   = tvec1 - tvec3;
      tConst[8]    =   tvec2 - tvec3;
      double t24   = tvec2 - tvec4;
      double t34   = tvec3 - tvec4;
      tConst[6]    = tt - tvec2;
      tConst[7]    = tt - tvec3;
      double tmp1  = t12 + t13;
      double tmp2  = t24 + t34;
      double tdet  = t12 * t34 - tmp1 * tmp2;
      tConst[0]    = t13 / tConst[8];
      tConst[1]    = t12 / tConst[8];
      tConst[2]    = t34 / tConst[8];
      tConst[3]    = t24 / tConst[8];
      tConst[4]    = (t34 * tConst[6] - tmp2 * tConst[7]) / t12
                     * tConst[6] * tConst[7] / tdet;
      tConst[5]    = (tmp1 * tConst[6] - t12 * tConst[7]) / t34
                     * tConst[6] * tConst[7] / tdet;
    }

    // Save x and q values so do not have to redo same again.
    xLast = x;
    qLast = q;
  }

  // Jump to here if x and q are the same as for the last call.
  int jtmp = ( (iP + nfMx) * (nT + 1) + (iGridQ - 1) ) * (nX + 1) + iGridX + 1;

  // Interpolate in x space for four different q values.
  for(int it = 1; it <= 4; ++it) {
    int j1 = jtmp + it * (nX + 1);
    if (iGridX == 0) {
      double fij[5];
      fij[1] = 0.;
      fij[2] = upd[j1+1] * pow2(xv[1]);
      fij[3] = upd[j1+2] * pow2(xv[2]);
      fij[4] = upd[j1+3] * pow2(xv[3]);
      double fX = polint4F( &xvpow[0], &fij[1], ss);
      fVec[it] = (x > 0.) ? fX / pow2(x) : 0.;
    } else if (iGridLX==nX-1) {
      fVec[it] = polint4F( &xvpow[nX-3], &upd[j1], ss);
    } else {
      double sf2 = upd[j1+1];
      double sf3 = upd[j1+2];
      double g1  =  sf2 * xConst[0] - sf3 * xConst[1];
      double g4  = -sf2 * xConst[2] + sf3 * xConst[3];
      fVec[it]   = (xConst[4] * (upd[j1] - g1) + xConst[5] * (upd[j1+3] - g4)
                 + sf2 * xConst[7] - sf3 * xConst[6]) / xConst[8];
    }
  }

  // Interpolate in q space for x-interpolated values found above.
  double ff;
  if( iGridLQ <= 0 ) {
    ff = polint4F( &tv[0], &fVec[1], tt);
  } else if (iGridLQ >= nT - 1) {
    ff=polint4F( &tv[nT-3], &fVec[1], tt);
  } else {
    double tf2 = fVec[2];
    double tf3 = fVec[3];
    double g1  =  tf2 * tConst[0] - tf3 * tConst[1];
    double g4  = -tf2 * tConst[2] + tf3 * tConst[3];
    ff         = (tConst[4] * (fVec[1] - g1) + tConst[5] * (fVec[4] - g4)
               + tf2 * tConst[7] - tf3 * tConst[6]) / tConst[8];
  }

  // Done.
  return ff;
}

//--------------------------------------------------------------------------
  
// The POLINT4 routine is based on the POLINT routine from "Numerical Recipes",
// but assuming N=4, and ignoring the error estimation.
// Suggested by Z. Sullivan.

double CTEQ6pdf::polint4F(double xa[],double ya[],double x) {

  double y, h1, h2, h3, h4, w, den, d1, c1, d2, c2, d3, c3, cd1, cc1,
         cd2, cc2, dd1, dc1;

  h1  = xa[0] - x;
  h2  = xa[1] - x;
  h3  = xa[2] - x;
  h4  = xa[3] - x;

  w   = ya[1] - ya[0];
  den = w / (h1 - h2);
  d1  = h2 * den;
  c1  = h1 * den;

  w   = ya[2] - ya[1];
  den = w / (h2 - h3);
  d2  = h3 * den;
  c2  = h2 * den;
 
  w   = ya[3] - ya[2];
  den = w / (h3 - h4);
  d3  = h4 * den;
  c3  = h3 * den;

  w   = c2 - d1;
  den = w / (h1 - h3);
  cd1 = h3 * den;
  cc1 = h1 * den;

  w   = c3 - d2;
  den = w / (h2 - h4);
  cd2 = h4 * den;
  cc2 = h2 * den;

  w   = cc2 - cd1;
  den = w / (h1 - h4);
  dd1 = h4 * den;
  dc1 = h1 * den;

  if      (h3 + h4 < 0.) y = ya[3] + d3 + cd2 + dd1;
  else if (h2 + h3 < 0.) y = ya[2] + d2 + cd1 + dc1;
  else if (h1 + h2 < 0.) y = ya[1] + c2 + cd1 + dc1;
  else                   y = ya[0] + c1 + cc1 + dc1;

  return y;

}

//==========================================================================

// SA Unresolved proton: equivalent photon spectrum from
// V.M. Budnev, I.F. Ginzburg, G.V. Meledin and V.G. Serbo,
// Phys. Rept. 15 (1974/1975) 181.

// Constants:
const double ProtonPoint::ALPHAEM = 0.00729735;
const double ProtonPoint::Q2MAX   = 2.0;
const double ProtonPoint::Q20     = 0.71;
const double ProtonPoint::A       = 7.16;
const double ProtonPoint::B       = -3.96;
const double ProtonPoint::C       = 0.028;

//--------------------------------------------------------------------------

// Gives a generic Q2-independent equivalent photon spectrum.

void ProtonPoint::xfUpdate(int , double x, double /*Q2*/ ) {

  // Photon spectrum
  double tmpQ2Min = 0.88 * pow2(x);
  double phiMax = phiFunc(x, Q2MAX / Q20);
  double phiMin = phiFunc(x, tmpQ2Min / Q20);

  double fgm = 0;
  if (phiMax < phiMin && m_infoPtr != 0) {
    m_infoPtr->errorMsg("Error from ProtonPoint::xfUpdate: "
      "phiMax - phiMin < 0!");
  } else {
    // Corresponds to: x*f(x)
    fgm = (ALPHAEM / M_PI) * (1 - x) * (phiMax - phiMin);
  }

  // Update values
  xg     = 0.;
  xu     = 0.;
  xd     = 0.;
  xubar  = 0.;
  xdbar  = 0.;
  xs     = 0.;
  xsbar  = 0.;
  xc     = 0.;
  xb     = 0.;
  xgamma = fgm;

  // Subdivision of valence and sea.
  xuVal = 0.;
  xuSea = 0;
  xdVal = 0.;
  xdSea = 0;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}

//--------------------------------------------------------------------------

// Function related to Q2 integration.

double ProtonPoint::phiFunc(double x, double Q) {

  double tmpV = 1. + Q;
  double tmpSum1 = 0;
  double tmpSum2 = 0;
  for (int k=1; k<4; ++k) {
    tmpSum1 += 1. / (k * pow(tmpV, k));
    tmpSum2 += pow(B, k) / (k * pow(tmpV, k));
  }

  double tmpY = pow2(x) / (1 - x);
  double funVal = (1 + A * tmpY) * (-1.*log(tmpV / Q) + tmpSum1)
                + (1 - B) * tmpY / (4 * Q * pow(tmpV, 3))
                + C * (1 + tmpY/4.)* (log((tmpV - B)/tmpV) + tmpSum2);

  return funVal;

}
 
//==========================================================================

// Gives the GRV 1992 pi+ (leading order) parton distribution function set
// in parametrized form. Authors: Glueck, Reya and Vogt.
// Ref: M. Glueck, E. Reya and A. Vogt, Z. Phys. C53 (1992) 651.
// Allowed variable range: 0.25 GeV^2 < Q^2 < 10^8 GeV^2 and 10^-5 < x < 1.

void GRVpiL::xfUpdate(int , double x, double Q2) {
 
  // Common expressions. Constrain Q2 for which parametrization is valid.
  double mu2  = 0.25;
  double lam2 = 0.232 * 0.232;
  double s    = (Q2 > mu2) ? log( log(Q2/lam2) / log(mu2/lam2) ) : 0.;
  double s2   = s * s;
  double x1   = 1. - x;
  double xL   = -log(x);
  double xS   = sqrt(x);
 
  // uv, dbarv.
  double uv = (0.519 + 0.180 * s - 0.011 * s2) * pow(x, 0.499 - 0.027 * s)
    * (1. + (0.381 - 0.419 * s) * xS) * pow(x1, 0.367 + 0.563 * s);

  // g.
  double gl = ( pow(x, 0.482 + 0.341 * sqrt(s))
    * ( (0.678 + 0.877 * s - 0.175 * s2) + (0.338 - 1.597 * s) * xS
    + (-0.233 * s + 0.406 * s2) * x) + pow(s, 0.599)
    * exp(-(0.618 + 2.070 * s) + sqrt(3.676 * pow(s, 1.263) * xL) ) )
    * pow(x1, 0.390 + 1.053 * s);

  // sea: u, d, s.
  double ub = pow(s, 0.55) * (1. - 0.748 * xS + (0.313 + 0.935 * s) * x)
    * pow(x1, 3.359) * exp(-(4.433 + 1.301 * s) + sqrt((9.30 - 0.887 * s)
    * pow(s, 0.56) * xL) ) / pow(xL, 2.538 - 0.763 * s);

  // c.
  double chm = (s < 0.888) ? 0. : pow(s - 0.888, 1.02) * (1. + 1.008 * x)
    * pow(x1, 1.208 + 0.771 * s) * exp(-(4.40 + 1.493 * s)
    + sqrt( (2.032 + 1.901 * s) * pow(s, 0.39) * xL) );

  // b.
  double bot = (s < 1.351) ? 0. : pow(s - 1.351, 1.03)
    * pow(x1, 0.697 + 0.855 * s) * exp(-(4.51 + 1.490 * s)
    + sqrt( (3.056 + 1.694 * s) * pow(s, 0.39) * xL) );
 
  // Update values.
  xg    = gl;
  xu    = uv + ub;
  xd    = ub;
  xubar = ub;
  xdbar = uv + ub;
  xs    = ub;
  xsbar = ub;
  xc    = chm;
  xb    = bot;

  // Subdivision of valence and sea.
  xuVal = uv;
  xuSea = ub;
  xdVal = uv;
  xdSea = ub;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

// Pomeron PDF: simple Q2-independent parametrizations N x^a (1 - x)^b.

//--------------------------------------------------------------------------
 
// Calculate normalization factors once and for all.

void PomFix::init() {
 
  normGluon = GammaReal(PomGluonA + PomGluonB + 2.)
            / (GammaReal(PomGluonA + 1.) * GammaReal(PomGluonB + 1.));
  normQuark = GammaReal(PomQuarkA + PomQuarkB + 2.)
            / (GammaReal(PomQuarkA + 1.) * GammaReal(PomQuarkB + 1.));

}

//--------------------------------------------------------------------------

// Gives a generic Q2-independent Pomeron PDF.

void PomFix::xfUpdate(int , double x, double) {

  // Gluon and quark distributions.
  double gl = normGluon * pow(x, PomGluonA) * pow( (1. - x), PomGluonB);
  double qu = normQuark * pow(x, PomQuarkA) * pow( (1. - x), PomQuarkB);

  // Update values
  xg    = (1. - PomQuarkFrac) * gl;
  xu    = (PomQuarkFrac / (4. + 2. * PomStrangeSupp) ) * qu;
  xd    = xu;
  xubar = xu;
  xdbar = xu;
  xs    = PomStrangeSupp * xu;
  xsbar = xs;
  xc    = 0.;
  xb    = 0.;

  // Subdivision of valence and sea.
  xuVal = 0.;
  xuSea = xu;
  xdVal = 0.;
  xdSea = xd;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

// Pomeron PDF: the H1 2006 Fit A and Fit B Q2-dependent parametrizations.

//--------------------------------------------------------------------------

void PomH1FitAB::init( int iFit, string xmlPath, Info* infoPtr) {

  // Open files from which grids should be read in.
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";
  string         dataFile = "pomH1FitBlo.data";
  if (iFit == 1) dataFile = "pomH1FitA.data";
  if (iFit == 2) dataFile = "pomH1FitB.data";
  ifstream is( (xmlPath + dataFile).c_str() );
  if (!is.good()) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from PomH1FitAB::init: "
      "the H1 Pomeron parametrization file was not found");
    else cout << " Error from PomH1FitAB::init: "
      << "the H1 Pomeron parametrization file was not found" << endl;
    isSet = false;
    return;
  }

  // Lower and upper bounds. Bin widths for logarithmic spacing.
  nx    = 100;
  xlow  = 0.001;
  xupp  = 0.99;
  dx    = log(xupp / xlow) / (nx - 1.);
  nQ2   = 30;
  Q2low = 1.0;
  Q2upp = 30000.;
  dQ2   = log(Q2upp / Q2low) / (nQ2 - 1.);
 
  // Read in quark data grid.
  for (int i = 0; i < nx; ++i)
    for (int j = 0; j < nQ2; ++j)
      is >> quarkGrid[i][j];
  
  // Read in gluon data grid.
  for (int i = 0; i < nx; ++i)
    for (int j = 0; j < nQ2; ++j)
      is >> gluonGrid[i][j];

  // Check for errors during read-in of file.
  if (!is) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from PomH1FitAB::init: "
      "the H1 Pomeron parametrization files could not be read");
    else cout << " Error from PomH1FitAB::init: "
      << "the H1 Pomeron parametrization files could not be read" << endl;
    isSet = false;
    return;
  }

  // Done.
  isSet = true;
  return;
}

//--------------------------------------------------------------------------

void PomH1FitAB::xfUpdate(int , double x, double Q2) {

  // Retrict input to validity range.
  double xt  = min( xupp, max( xlow, x) );
  double Q2t = min( Q2upp, max( Q2low, Q2) );

  // Lower grid point and distance above it.
  double dlx  = log( xt / xlow) / dx;
  int i       = min( nx - 2,  int(dlx) );
  dlx        -= i;
  double dlQ2 = log( Q2t / Q2low) / dQ2;
  int j       = min( nQ2 - 2, int(dlQ2) );
  dlQ2       -= j;
 
  // Interpolate to derive quark PDF.
  double qu = (1. - dlx) * (1. - dlQ2) * quarkGrid[i][j]
            +       dlx  * (1. - dlQ2) * quarkGrid[i + 1][j]
            + (1. - dlx) *       dlQ2  * quarkGrid[i][j + 1]
            +       dlx  *       dlQ2  * quarkGrid[i + 1][j + 1];

  // Interpolate to derive gluon PDF.
  double gl = (1. - dlx) * (1. - dlQ2) * gluonGrid[i][j]
            +       dlx  * (1. - dlQ2) * gluonGrid[i + 1][j]
            + (1. - dlx) *       dlQ2  * gluonGrid[i][j + 1]
            +       dlx  *       dlQ2  * gluonGrid[i + 1][j + 1];

  // Update values.
  xg    = rescale * gl;
  xu    = rescale * qu;
  xd    = xu;
  xubar = xu;
  xdbar = xu;
  xs    = xu;
  xsbar = xu;
  xc    = 0.;
  xb    = 0.;

  // Subdivision of valence and sea.
  xuVal = 0.;
  xuSea = xu;
  xdVal = 0.;
  xdSea = xu;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

// Pomeron PDF: the H1 2007 Jets Q2-dependent parametrization.

//--------------------------------------------------------------------------

void PomH1Jets::init( string xmlPath, Info* infoPtr) {

  // Open files from which grids should be read in.
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";
  ifstream isg( (xmlPath + "pomH1JetsGluon.data").c_str() );
  ifstream isq( (xmlPath + "pomH1JetsSinglet.data").c_str() );
  ifstream isc( (xmlPath + "pomH1JetsCharm.data").c_str() );
  if (!isg.good() || !isq.good() || !isc.good()) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from PomH1Jets::init: "
      "the H1 Pomeron parametrization files were not found");
    else cout << " Error from PomH1Jets::init: "
      << "the H1 Pomeron parametrization files were not found" << endl;
    isSet = false;
    return;
  }

  // Read in x and Q grids. Do interpolation logarithmically in Q2.
  for (int i = 0; i < 100; ++i) {
    isg >> setw(13) >> xGrid[i];
  }
  for (int j = 0; j < 88; ++j) {
    isg >> setw(13) >> Q2Grid[j];
    Q2Grid[j] = log( Q2Grid[j] );
  }

  // Read in  gluon data grid.
  for (int j = 0; j < 88; ++j) {
    for (int i = 0; i < 100; ++i) {
      isg >> setw(13) >> gluonGrid[i][j];
    }
  }

  // Identical x and Q2 grid for singlet, so skip ahead.
  double dummy;
  for (int i = 0; i < 188; ++i) isq >> setw(13) >> dummy;

  // Read in singlet data grid.
  for (int j = 0; j < 88; ++j) {
    for (int i = 0; i < 100; ++i) {
      isq >> setw(13) >> singletGrid[i][j];
    }
  }

  // Identical x and Q2 grid for charm, so skip ahead.
  for (int i = 0; i < 188; ++i) isc >> setw(13) >> dummy;

  // Read in charm data grid.
  for (int j = 0; j < 88; ++j) {
    for (int i = 0; i < 100; ++i) {
      isc >> setw(13) >> charmGrid[i][j];
    }
  }

  // Check for errors during read-in of files.
  if (!isg || !isq || !isc) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from PomH1Jets::init: "
      "the H1 Pomeron parametrization files could not be read");
    else cout << " Error from PomH1Jets::init: "
      << "the H1 Pomeron parametrization files could not be read" << endl;
    isSet = false;
    return;
  }

  // Done.
  isSet = true;
  return;
}

//--------------------------------------------------------------------------

void PomH1Jets::xfUpdate(int , double x, double Q2) {

  // Find position in x array.
  double xLog = log(x);
  int    i    = 0;
  double dx   = 0.;
  if (xLog <= xGrid[0]);
  else if (xLog >= xGrid[99]) {
    i  = 98;
    dx = 1.;
  } else {
    while (xLog > xGrid[i]) ++i;
    --i;
    dx = (xLog - xGrid[i]) / (xGrid[i + 1] - xGrid[i]);
  }
 
  // Find position in y array.
  double Q2Log = log(Q2);
  int    j     = 0;
  double dQ2   = 0.;
  if (Q2Log <= Q2Grid[0]);
  else if (Q2Log >= Q2Grid[87]) {
    j   = 86;
    dQ2 = 1.;
  } else {
    while (Q2Log > Q2Grid[j]) ++j;
    --j;
    dQ2 = (Q2Log - Q2Grid[j]) / (Q2Grid[j + 1] - Q2Grid[j]);
  }
 
  // Interpolate to derive gluon PDF.
  double gl = (1. - dx) * (1. - dQ2) * gluonGrid[i][j]
            +       dx  * (1. - dQ2) * gluonGrid[i + 1][j]
            + (1. - dx) *       dQ2  * gluonGrid[i][j + 1]
            +       dx  *       dQ2  * gluonGrid[i + 1][j + 1];

  // Interpolate to derive singlet PDF. (Sum of u, d, s, ubar, dbar, sbar.)
  double sn = (1. - dx) * (1. - dQ2) * singletGrid[i][j]
            +       dx  * (1. - dQ2) * singletGrid[i + 1][j]
            + (1. - dx) *       dQ2  * singletGrid[i][j + 1]
            +       dx  *       dQ2  * singletGrid[i + 1][j + 1];

  // Interpolate to derive charm PDF. (Charge-square times c and cbar.)
  double ch = (1. - dx) * (1. - dQ2) * charmGrid[i][j]
            +       dx  * (1. - dQ2) * charmGrid[i + 1][j]
            + (1. - dx) *       dQ2  * charmGrid[i][j + 1]
            +       dx  *       dQ2  * charmGrid[i + 1][j + 1];

  // Update values.
  xg    = rescale * gl;
  xu    = rescale * sn / 6.;
  xd    = xu;
  xubar = xu;
  xdbar = xu;
  xs    = xu;
  xsbar = xu;
  xc    = rescale * ch * 9./8.;
  xb    = 0.;

  // Subdivision of valence and sea.
  xuVal = 0.;
  xuSea = xu;
  xdVal = 0.;
  xdSea = xd;

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}
 
//==========================================================================

// Gives electron (or muon, or tau) parton distribution.

// Constants: alphaEM(0), m_e, m_mu, m_tau.
const double Lepton::ALPHAEM = 0.00729735;
const double Lepton::ME      = 0.0005109989;
const double Lepton::MMU     = 0.10566;
const double Lepton::MTAU    = 1.77699;
 
void Lepton::xfUpdate(int id, double x, double Q2) {
 
  // Squared mass of lepton species: electron, muon, tau.
  if (!isInit) {
    double             mLep = ME;
    if (abs(id) == 13) mLep = MMU;
    if (abs(id) == 15) mLep = MTAU;
    m2Lep  = pow2( mLep );
    isInit = true;
  }

  // Electron inside electron, see R. Kleiss et al., in Z physics at
  // LEP 1, CERN 89-08, p. 34
  double xLog = log(max(1e-10,x));
  double xMinusLog = log( max(1e-10, 1. - x) );
  double Q2Log = log( max(3., Q2/m2Lep) );
  double beta = (ALPHAEM / M_PI) * (Q2Log - 1.);
  double delta = 1. + (ALPHAEM / M_PI) * (1.5 * Q2Log + 1.289868)
    + pow2(ALPHAEM / M_PI) * (-2.164868 * Q2Log*Q2Log
    + 9.840808 * Q2Log - 10.130464);
  double fPrel =  beta * pow(1. - x, beta - 1.) * sqrtpos( delta )
     - 0.5 * beta * (1. + x) + 0.125 * beta*beta * ( (1. + x)
     * (-4. * xMinusLog + 3. * xLog) - 4. * xLog / (1. - x) - 5. - x);

  // Zero distribution for very large x and rescale it for intermediate.
  if (x > 1. - 1e-10) fPrel = 0.;
  else if (x > 1. - 1e-7) fPrel *= pow(1000.,beta) / (pow(1000.,beta) - 1.);
  xlepton = x * fPrel;

  // Photon inside electron (one possible scheme - primitive).
  xgamma = (0.5 * ALPHAEM / M_PI) * Q2Log * (1. + pow2(1. - x));

  // idSav = 9 to indicate that all flavours reset.
  idSav = 9;

}

//==========================================================================

// The NNPDF class.
// Code for handling NNPDF2.3 QCD+QED LO
// Code provided by Juan Rojo and Stefano Carrazza.

//--------------------------------------------------------------------------
  
// Freeze PDFs below XMINGRID
const double NNPDF::fXMINGRID = 1e-9;

//--------------------------------------------------------------------------

// Initialize PDF: read in data grid from file.
  
void NNPDF::init(int iFitIn, string xmlPath, Info* infoPtr) {

  // Choice of fit among possibilities.
  iFit = iFitIn;
  
  // Select which data file to read for current fit.
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";
  string fileName = "  ";
  // NNPDF2.3 LO QCD+QED, for two values of alphas
  if (iFit == 1) fileName = "NNPDF23_lo_as_0130_qed_mem0.grid";
  if (iFit == 2) fileName = "NNPDF23_lo_as_0119_qed_mem0.grid";
  // NNPDF2.3 NLO QCD+QED
  if (iFit == 3) fileName = "NNPDF23_nlo_as_0119_qed_mc_mem0.grid";
  // NNPDF2.4 NLO QCD+QED
  if (iFit == 4) fileName = "NNPDF23_nnlo_as_0119_qed_mc_mem0.grid";

  // Open data file.
  fstream f;
  f.open( (xmlPath + fileName).c_str(),ios::in);
  if (f.fail()) {
    if (infoPtr != 0) infoPtr->errorMsg("Error from NNPDF::init: "
      "did not find data file ", fileName);
    else cout << "Error: cannot open file " << (xmlPath + fileName) << endl;
    isSet = false;
    return;
  }
  
  // Reading grid: removing header.
  string tmp;
  for (;;) {
    getline(f,tmp);
    if (tmp.find("NNPDF20intqed") != string::npos) {
      getline(f,tmp);
      break;
    }
  }

  // Get nx and x grid.
  f >> fNX;
  fXGrid = new double[fNX];
  for (int ix = 0; ix < fNX; ix++) f >> fXGrid[ix];
  fLogXGrid = new double[fNX];
  for (int ix = 0; ix < fNX; ix++) fLogXGrid[ix] = log(fXGrid[ix]);

  // Get nQ2 and Q2 grid (ignorming first value).
  f >> fNQ2;
  f >> tmp;
  fQ2Grid = new double[fNQ2];
  for (int iq = 0; iq < fNQ2; iq++) f >> fQ2Grid[iq];
  fLogQ2Grid = new double[fNQ2];
  for (int iq = 0; iq < fNQ2; iq++) fLogQ2Grid[iq] = log(fQ2Grid[iq]);

  // Prepare grid array.
  fPDFGrid = new double**[fNFL];
  for (int i = 0; i < fNFL; i++) {
    fPDFGrid[i] = new double*[fNX];
    for (int j = 0; j < fNX; j++) {
      fPDFGrid[i][j] = new double[fNQ2];
      for (int z = 0; z < fNQ2; z++) fPDFGrid[i][j][z] = 0.0;
    }
  }

  // Check values of number of grid entries.
  if (fNX<= 0 || fNX>100 || fNQ2<=0 || fNQ2>50) {
    cout << "Error in NNPDF::init, Invalid grid values" << endl
         << "fNX = " << fNX << endl << "fNQ2 = " << fNQ2 << endl
         << "fNFL = " <> tmp;
  for (int ix = 0; ix < fNX; ix++)
    for (int iq = 0; iq < fNQ2; iq++)
      for (int fl = 0; fl < fNFL; fl++)
        f >> fPDFGrid[fl][ix][iq];
  f.close();

  // Other vectors.
  fRes = new double[fNFL];

}

//--------------------------------------------------------------------------
  
void NNPDF::xfUpdate(int , double x, double Q2) {
    
  // Update using NNPDF routine, within allowed (x, q) range.
  xfxevolve(x,Q2);

  // Then transfer to Pythia8 notation.
  xg     = fRes[6];
  xu     = fRes[8];
  xd     = fRes[7];
  xubar  = fRes[4];
  xdbar  = fRes[5];
  xs     = fRes[9];
  xsbar  = fRes[3];
  xc     = fRes[10];
  xb     = fRes[11];
  xgamma = fRes[13];
  
  // Subdivision of valence and sea.
  xuVal  = xu - xubar;
  xuSea  = xubar;
  xdVal  = xd - xdbar;
  xdSea  = xdbar;
  
  // idSav = 9 to indicate that all flavours reset.
  idSav  = 9;
  
}

//--------------------------------------------------------------------------
  
void NNPDF::xfxevolve(double x, double Q2) {
    
  // Freeze outside x-Q2 grid.
  if (x < fXMINGRID || x > fXGrid[fNX-1]) {
    if (x < fXMINGRID)  x = fXMINGRID;
    if (x > fXGrid[fNX-1]) x = fXGrid[fNX-1];
  }
  if (Q2 < fQ2Grid[0] || Q2 > fQ2Grid[fNQ2-1]) {
    if (Q2 < fQ2Grid[0]) Q2 = fQ2Grid[0];
    if (Q2 > fQ2Grid[fNQ2-1]) Q2 = fQ2Grid[fNQ2-1];
  }
    
  // Find nearest points in the x-Q2 grid.
  int minx = 0;
  int maxx = fNX;
  while (maxx-minx > 1) {
    int midx = (minx+maxx)/2;
    if (x < fXGrid[midx]) maxx = midx;
    else minx = midx;
  }
  int ix = minx;
  int minq = 0;
  int maxq = fNQ2;
  while (maxq-minq > 1) {
    int midq = (minq+maxq)/2;
    if (Q2 < fQ2Grid[midq]) maxq = midq;
    else minq = midq;
  }
  int iq2 = minq;
  
  // Assign grid for interpolation. M,N -> order of polyN interpolation.
  int    ix1a[fM], ix2a[fN];
  double x1a[fM], x2a[fN];
  double ya[fM][fN];
  
  for (int i = 0; i < fM; i++) {
    if (ix+1 >= fM/2 && ix+1 <= (fNX-fM/2)) ix1a[i] = ix+1 - fM/2 + i;
    if (ix+1 < fM/2) ix1a[i] = i;
    if (ix+1 > (fNX-fM/2)) ix1a[i] = (fNX-fM) + i;
    // Check grids.
    if (ix1a[i] < 0 || ix1a[i] >= fNX) {
      cout << "Error in grids! i, ixia[i] = " << i << "\t" << ix1a[i] << endl;
      return;
    }
  }
  
  for (int j = 0; j < fN; j++) {
    if (iq2+1 >= fN/2 && iq2+1 <= (fNQ2-fN/2)) ix2a[j] = iq2+1 - fN/2 + j;
    if (iq2+1 < fN/2) ix2a[j] = j;
    if (iq2+1 > (fNQ2-fN/2)) ix2a[j] = (fNQ2-fN) + j;
    // Check grids.
    if (ix2a[j] < 0 || ix2a[j] >= fNQ2) {
      cout << "Error in grids! j, ix2a[j] = " << j << "\t" << ix2a[j] << endl;
      return;
    }
  }
  
  const double xch = 1e-1;
  double x1;
  if (x < xch) x1 = log(x);
  else x1 = x;
  double x2 = log(Q2);
  
  for (int ipdf = 0; ipdf < fNFL; ipdf++) {
    fRes[ipdf] = 0.0;
    for (int i = 0; i < fM; i++) {
      if (x < xch) x1a[i] = fLogXGrid[ix1a[i]];
      else         x1a[i] = fXGrid[ix1a[i]];
          
      for (int j = 0; j < fN; j++) {
        x2a[j] = fLogQ2Grid[ix2a[j]];
        ya[i][j] = fPDFGrid[ipdf][ix1a[i]][ix2a[j]];
      }
    }
  
    // 2D polynomial interpolation.
    double y = 0, dy = 0;
    polin2(x1a,x2a,ya,x1,x2,y,dy);
    fRes[ipdf] = y;
  }
  
}
 
//--------------------------------------------------------------------------

// 1D polynomial interpolation.

void NNPDF::polint(double xa[], double yal[], int n, double x,
  double& y, double& dy) {

  int ns = 0;
  double dif = abs(x-xa[0]);
  double c[fM > fN ? fM : fN];
  double d[fM > fN ? fM : fN];
  
  for (int i = 0; i < n; i++) {
    double dift = abs(x-xa[i]);
    if (dift < dif) {
      ns = i;
      dif = dift;
    }
    c[i] = yal[i];
    d[i] = yal[i];
  }
  y = yal[ns];
  ns--;
  for (int m = 1; m < n; m++) {
    for (int i = 0; i < n-m; i++) {
      double ho = xa[i]-x;
      double hp = xa[i+m]-x;
      double w = c[i+1]-d[i];
      double den = ho-hp;
      if (den == 0) {
        cout << "NNPDF::polint, failure" << endl;
        return;
      }
      den = w/den;
      d[i] = hp*den;
      c[i] = ho*den;
    }
    if (2*(ns+1) < n-m) dy = c[ns+1];
    else {
      dy = d[ns];
      ns--;
    }
    y+=dy;
  }
}

//--------------------------------------------------------------------------

// 2D polynomial interpolation.

void NNPDF::polin2(double x1al[], double x2al[], double yal[][fN],
  double x1, double x2, double& y, double& dy) {

  double yntmp[fN];
  double ymtmp[fM];

  for (int j = 0; j < fM; j++) {
    for (int k = 0; k < fN; k++) yntmp[k] = yal[j][k];
    polint(x2al,yntmp,fN,x2,ymtmp[j],dy);
  }
  polint(x1al,ymtmp,fM,x1,y,dy);
  
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/ResonanceWidths.cc0000644000175000017500000022676612357054763016574 0ustar  sunsun// ResonanceWidths.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for
// the ResonanceWidths class and classes derived from it.

#include "Pythia8/ParticleData.h"
#include "Pythia8/ResonanceWidths.h"
#include "Pythia8/PythiaComplex.h"

namespace Pythia8 {

//==========================================================================

// The ResonanceWidths class.
// Base class for the various resonances.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of points in integration direction for numInt routines.
const int    ResonanceWidths::NPOINT         = 100;

// The mass of a resonance must not be too small.
const double ResonanceWidths::MASSMIN        = 0.4;

// The sum of product masses must not be too close to the resonance mass.
const double ResonanceWidths::MASSMARGIN     = 0.1;

//--------------------------------------------------------------------------

// Initialize data members.
// Calculate and store partial and total widths at the nominal mass.

bool ResonanceWidths::init(Info* infoPtrIn, Settings* settingsPtrIn,
   ParticleData* particleDataPtrIn, Couplings* couplingsPtrIn) {

  // Save pointers.
  infoPtr         = infoPtrIn;
  settingsPtr     = settingsPtrIn;
  particleDataPtr = particleDataPtrIn;
  couplingsPtr    = couplingsPtrIn;

  // Perform any model dependent initialisations (pure dummy in base class).
  bool isInit = initBSM();
  
  // Minimal decaying-resonance width. Minimal phase space for meMode = 103.
  minWidth     = settingsPtr->parm("ResonanceWidths:minWidth");
  minThreshold = settingsPtr->parm("ResonanceWidths:minThreshold");

  // Pointer to particle species.
  particlePtr  = particleDataPtr->particleDataEntryPtr(idRes);
  if (particlePtr == 0) {
    infoPtr->errorMsg("Error in ResonanceWidths::init:"
      " unknown resonance identity code");
    return false;
  }

  // Generic particles should not have meMode < 100, but allow
  // some exceptions: not used Higgses and not used Technicolor.
  if (idRes == 35 || idRes == 36 || idRes == 37
    || idRes/1000000 == 3) isGeneric = false;

  // Resonance properties: antiparticle, mass, width
  hasAntiRes   = particlePtr->hasAnti();
  mRes         = particlePtr->m0();
  GammaRes     = particlePtr->mWidth();
  m2Res        = mRes*mRes;

  // A resonance cannot be too light, in particular not = 0.
  if (mRes < MASSMIN) {
    ostringstream idCode;
    idCode << idRes;
    infoPtr->errorMsg("Error in ResonanceWidths::init:"
      " resonance mass too small", "for id = " + idCode.str(), true);
    return false;
  }
 
  // For very narrow resonances assign fictitious small width.
  if (GammaRes < minWidth) GammaRes = 0.1 * minWidth;
  GamMRat      = (mRes == 0.) ? 0. : GammaRes / mRes;

  // Secondary decay chains by default all on.
  openPos      = 1.;
  openNeg      = 1.;

  // Allow option where on-shell width is forced to current value.
  // Disable for mixes gamma*/Z0/Z'0
  doForceWidth = particlePtr->doForceWidth();
  if (idRes == 23 && settingsPtr->mode("WeakZ0:gmZmode") != 2) 
    doForceWidth = false;
  if (idRes == 33 && settingsPtr->mode("Zprime:gmZmode") != 3) 
    doForceWidth = false;
  forceFactor  = 1.;

  // Check if we are supposed to do the width calculation
  // (can be false e.g. if SLHA decay table should take precedence instead).
  allowCalcWidth = isInit && allowCalc();
  if ( allowCalcWidth ) {
    // Initialize constants used for a resonance.
    initConstants();

    // Calculate various common prefactors for the current mass.
    mHat          = mRes;
    calcPreFac(true);
  }

  // Reset quantities to sum. Declare variables inside loop.
  double widTot = 0.;
  double widPos = 0.;
  double widNeg = 0.;
  int    idNow, idAnti;
  double openSecPos, openSecNeg;

  // Loop over all decay channels. Basic properties of channel.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    iChannel    = i;
    onMode      = particlePtr->channel(i).onMode();
    meMode      = particlePtr->channel(i).meMode();
    mult        = particlePtr->channel(i).multiplicity();
    widNow      = 0.;

    // Warn if not relevant meMode.
    if ( meMode < 0 || meMode > 103 || (isGeneric && meMode < 100) ) {
      infoPtr->errorMsg("Error in ResonanceWidths::init:"
        " resonance meMode not acceptable");
    }

    // Channels with meMode < 100 must be implemented in derived classes.
    if (meMode < 100 && allowCalcWidth) {
      
      // Read out information on channel: primarily use first two.
      id1       = particlePtr->channel(i).product(0);
      id2       = particlePtr->channel(i).product(1);
      id1Abs    = abs(id1);
      id2Abs    = abs(id2);
       
      // Order first two in descending order of absolute values.
      if (id2Abs > id1Abs) {swap( id1, id2); swap( id1Abs, id2Abs);}

      // Allow for third product to be treated in derived classes.
      if (mult > 2) {
        id3     = particlePtr->channel(i).product(2);
        id3Abs  = abs(id3);
        
        // Also order third into descending order of absolute values.
        if (id3Abs > id2Abs) {swap( id2, id3); swap( id2Abs, id3Abs);}
        if (id2Abs > id1Abs) {swap( id1, id2); swap( id1Abs, id2Abs);}
      }

      // Read out masses. Calculate two-body phase space.
      mf1       = particleDataPtr->m0(id1Abs);
      mf2       = particleDataPtr->m0(id2Abs);
      mr1       = pow2(mf1 / mHat);
      mr2       = pow2(mf2 / mHat);
      ps        = (mHat < mf1 + mf2 + MASSMARGIN) ? 0.
                : sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
      if (mult > 2) {
        mf3     = particleDataPtr->m0(id3Abs);
        mr3     = pow2(mf3 / mHat);
      }

      // Let derived class calculate width for channel provided.
      calcWidth(true);
    }

    // Channels with meMode >= 100 are calculated based on stored values.
    else widNow = GammaRes * particlePtr->channel(i).bRatio();
   
    // Find secondary open fractions of partial width.
    openSecPos  = 1.;
    openSecNeg  = 1.;
    if (widNow > 0.) for (int j = 0; j < mult; ++j) {
      idNow     = particlePtr->channel(i).product(j);
      idAnti    = (particleDataPtr->hasAnti(idNow)) ? -idNow : idNow;
      // Secondary widths not yet initialized for heavier states,
      // so have to assume unit open fraction there.
      if (idNow == 23 || abs(idNow) == 24 || idNow == 93 || abs(idNow) == 94
        || particleDataPtr->m0(abs(idNow)) < mRes) {
        openSecPos *= particleDataPtr->resOpenFrac(idNow);
        openSecNeg *= particleDataPtr->resOpenFrac(idAnti);
      }
    }

    // Store partial widths and secondary open fractions.
    particlePtr->channel(i).onShellWidth(widNow);
    particlePtr->channel(i).openSec( idRes, openSecPos);
    particlePtr->channel(i).openSec(-idRes, openSecNeg);

    // Update sum over all channnels and over open channels only.
    widTot     += widNow;
    if (onMode == 1 || onMode == 2) widPos += widNow * openSecPos;
    if (onMode == 1 || onMode == 3) widNeg += widNow * openSecNeg;
  }

  // If no decay channels are open then set particle stable and done.
  if (widTot < minWidth) {
    particlePtr->setMayDecay(false, false);
    particlePtr->setMWidth(0., false);
    for (int i = 0; i < particlePtr->sizeChannels(); ++i)
      particlePtr->channel(i).bRatio( 0., false);
    return true;
  }

  // Normalize branching ratios to unity.
  double bRatio;
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    bRatio      = particlePtr->channel(i).onShellWidth() / widTot;
    particlePtr->channel(i).bRatio( bRatio, false);
  }

  // Optionally force total width by rescaling of all partial ones.
  if (doForceWidth) {
    forceFactor = GammaRes / widTot;
    for (int i = 0; i < particlePtr->sizeChannels(); ++i)
      particlePtr->channel(i).onShellWidthFactor( forceFactor);
  }

  // Else update newly calculated partial width.
  else {
    particlePtr->setMWidth(widTot, false);
    GammaRes    = widTot;
  }

  // Updated width-to-mass ratio. Secondary widths for open.
  GamMRat       = GammaRes / mRes;
  openPos       = widPos / widTot;
  openNeg       = widNeg / widTot;

  // Clip wings of Higgses.
  bool isHiggs = (idRes == 25 || idRes == 35 ||idRes == 36 ||idRes == 37);
  bool clipHiggsWings = settingsPtr->flag("Higgs:clipWings");
  if (isHiggs && clipHiggsWings) {
    double mMinNow  = particlePtr->mMin();
    double mMaxNow  = particlePtr->mMax();
    double wingsFac = settingsPtr->parm("Higgs:wingsFac");
    double mMinWing = mRes - wingsFac * GammaRes;
    double mMaxWing = mRes + wingsFac * GammaRes;
    if (mMinWing > mMinNow) particlePtr->setMMinNoChange(mMinWing);
    if (mMaxWing < mMaxNow || mMaxNow < mMinNow)
      particlePtr->setMMaxNoChange(mMaxWing);
  }

  // Done.
  return true;
    
}

//--------------------------------------------------------------------------

// Calculate the total width and store phase-space-weighted coupling sums.

double ResonanceWidths::width(int idSgn, double mHatIn, int idInFlavIn,
  bool openOnly, bool setBR, int idOutFlav1, int idOutFlav2) {

  // Calculate various prefactors for the current mass.
  mHat          = mHatIn;
  idInFlav      = idInFlavIn;
  if (allowCalcWidth) calcPreFac(false);

  // Reset quantities to sum. Declare variables inside loop.
  double widSum = 0.;
  double mfSum, psOnShell;

  // Loop over all decay channels. Basic properties of channel.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    iChannel    = i;
    onMode      = particlePtr->channel(i).onMode();
    meMode      = particlePtr->channel(i).meMode();
    mult        = particlePtr->channel(i).multiplicity();

    // Initially assume vanishing branching ratio.
    widNow      = 0.;
    if (setBR) particlePtr->channel(i).currentBR(widNow);

    // Optionally only consider specific (two-body) decay channel.
    // Currently only used for Higgs -> q qbar, g g or gamma gamma.
    if (idOutFlav1 > 0 || idOutFlav2 > 0) {
      if (mult > 2) continue;
      if (particlePtr->channel(i).product(0) != idOutFlav1) continue;
      if (particlePtr->channel(i).product(1) != idOutFlav2) continue;
    }

    // Optionally only consider open channels.
    if (openOnly) {
      if (idSgn > 0 && onMode !=1 && onMode != 2) continue;
      if (idSgn < 0 && onMode !=1 && onMode != 3) continue;
    }

    // Channels with meMode < 100 must be implemented in derived classes.
    if (meMode < 100) {
           
      // Read out information on channel: primarily use first two.
      id1       = particlePtr->channel(i).product(0);
      id2       = particlePtr->channel(i).product(1);
      id1Abs    = abs(id1);
      id2Abs    = abs(id2);
       
      // Order first two in descending order of absolute values.
      if (id2Abs > id1Abs) {swap( id1, id2); swap( id1Abs, id2Abs);}

      // Allow for third product to be treated in derived classes.
      if (mult > 2) {
        id3     = particlePtr->channel(i).product(2);
        id3Abs  = abs(id3);
        
        // Also order third into descending order of absolute values.
        if (id3Abs > id2Abs) {swap( id2, id3); swap( id2Abs, id3Abs);}
        if (id2Abs > id1Abs) {swap( id1, id2); swap( id1Abs, id2Abs);}
      }

      // Read out masses. Calculate two-body phase space.
      mf1       = particleDataPtr->m0(id1Abs);
      mf2       = particleDataPtr->m0(id2Abs);
      mr1       = pow2(mf1 / mHat);
      mr2       = pow2(mf2 / mHat);
      ps        = (mHat < mf1 + mf2 + MASSMARGIN) ? 0.
                : sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
      if (mult > 2) {
        mf3     = particleDataPtr->m0(id3Abs);
        mr3     = pow2(mf3 / mHat);
      }

      // Let derived class calculate width for channel provided.
      calcWidth(false);
    }

    // Now on to meMode >= 100. First case: no correction at all.
    else if (meMode == 100)
      widNow    = GammaRes * particlePtr->channel(i).bRatio();

    // Correction by step at threshold.
    else if (meMode == 101) {
      mfSum     = 0.;
      for (int j = 0; j < mult; ++j) mfSum
               += particleDataPtr->m0( particlePtr->channel(i).product(j) );
      if (mfSum + MASSMARGIN < mHat)
        widNow  = GammaRes * particlePtr->channel(i).bRatio();
    }

    // Correction by a phase space factor for two-body decays.
    else if ( (meMode == 102 || meMode == 103) && mult == 2) {
      mf1       = particleDataPtr->m0( particlePtr->channel(i).product(0) );
      mf2       = particleDataPtr->m0( particlePtr->channel(i).product(1) );
      mr1       = pow2(mf1 / mHat);
      mr2       = pow2(mf2 / mHat);
      ps        = (mHat < mf1 + mf2 + MASSMARGIN) ? 0.
                : sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );
      mr1       = pow2(mf1 / mRes);
      mr2       = pow2(mf2 / mRes);
      psOnShell = (meMode == 102) ? 1. : max( minThreshold,
                  sqrtpos( pow2(1.- mr1 - mr2) - 4. * mr1 * mr2) );
      widNow = GammaRes * particlePtr->channel(i).bRatio() * ps / psOnShell;
    }
    
    // Correction by simple threshold factor for multibody decay.
    else if (meMode == 102 || meMode == 103) {
      mfSum  = 0.;
      for (int j = 0; j < mult; ++j) mfSum
               += particleDataPtr->m0( particlePtr->channel(i).product(j) );
      ps        = sqrtpos(1. - mfSum / mHat);
      psOnShell = (meMode == 102) ? 1. : max( minThreshold,
                  sqrtpos(1. - mfSum / mRes) );
      widNow = GammaRes * particlePtr->channel(i).bRatio() * ps / psOnShell;
    }

    // Optionally multiply by secondary widths.
    if (openOnly) widNow *= particlePtr->channel(i).openSec(idSgn);

    // Optionally include factor to force to fixed width.
    if (doForceWidth) widNow *= forceFactor;

    // Optionally multiply by current/nominal resonance mass??

    // Sum back up.
    widSum += widNow;

    // Optionally store partial widths for later decay channel choice.
    if (setBR) particlePtr->channel(i).currentBR(widNow);
  }

  // Done.
  return widSum;
  
}

//--------------------------------------------------------------------------

// Numerical integration of matrix-element in two-body decay,
// where one particle is described by a Breit-Wigner mass distribution.
// Normalization to unit integral if matrix element is unity
// and there are no phase-space restrictions.
 
double ResonanceWidths::numInt1BW(double mHatIn, double m1, double Gamma1,
  double mMin1, double m2, int psMode) {

  // Check that phase space is open for integration.
  if (mMin1 + m2 > mHatIn) return 0.;

  // Precalculate coefficients for Breit-Wigner selection.
  double s1       = m1 * m1;
  double mG1      = m1 * Gamma1;
  double mMax1    = mHatIn - m2;
  double atanMin1 = atan( (mMin1 * mMin1 - s1) / mG1 );
  double atanMax1 = atan( (mMax1 * mMax1 - s1) / mG1 );
  double atanDif1 = atanMax1 - atanMin1;
  double wtDif1   = atanDif1 / (M_PI * NPOINT);

  // Step size in atan-mapped variable.
  double xStep    = 1. / NPOINT;

  // Variables used in loop over integration points.
  double sum      = 0.;
  double mrNow2   = pow2(m2 / mHatIn);
  double xNow1, sNow1, mNow1, mrNow1, psNow, value;

  // Loop with first-particle mass selection.
  for (int ip1 = 0; ip1 < NPOINT; ++ip1) {
    xNow1         = xStep * (ip1 + 0.5);
    sNow1         = s1 + mG1 * tan(atanMin1 + xNow1 * atanDif1);
    mNow1         = min( mMax1, max( mMin1, sqrtpos(sNow1) ) );
    mrNow1        = pow2(mNow1 / mHatIn);

    // Evaluate value and add to sum. Different matrix elements.
    psNow         = sqrtpos( pow2(1. - mrNow1 - mrNow2)
                    - 4. * mrNow1 * mrNow2);
    value         = 1.;
    if      (psMode == 1) value = psNow;
    else if (psMode == 2) value = psNow * psNow;
    else if (psMode == 3) value = pow3(psNow);
    else if (psMode == 5) value = psNow
      * (pow2(1. - mrNow1 - mrNow2) + 8. * mrNow1 * mrNow2);
    else if (psMode == 6) value = pow3(psNow);
    sum          += value;

  // End of  loop over integration points. Overall normalization.
  }
  sum            *= wtDif1;
 
  // Done.
  return sum;
}

//--------------------------------------------------------------------------

// Numerical integration of matrix-element in two-body decay,
// where both particles are described by Breit-Wigner mass distributions.
// Normalization to unit integral if matrix element is unity
// and there are no phase-space restrictions.
 
double ResonanceWidths::numInt2BW(double mHatIn, double m1, double Gamma1,
  double mMin1, double m2, double Gamma2, double mMin2, int psMode) {

  // Check that phase space is open for integration.
  if (mMin1 + mMin2 >= mHatIn) return 0.;

  // Precalculate coefficients for Breit-Wigner selection.
  double s1       = m1 * m1;
  double mG1      = m1 * Gamma1;
  double mMax1    = mHatIn - mMin2;
  double atanMin1 = atan( (mMin1 * mMin1 - s1) / mG1 );
  double atanMax1 = atan( (mMax1 * mMax1 - s1) / mG1 );
  double atanDif1 = atanMax1 - atanMin1;
  double wtDif1   = atanDif1 / (M_PI * NPOINT);
  double s2       = m2 * m2;
  double mG2      = m2 * Gamma2;
  double mMax2    = mHatIn - mMin1;
  double atanMin2 = atan( (mMin2 * mMin2 - s2) / mG2 );
  double atanMax2 = atan( (mMax2 * mMax2 - s2) / mG2 );
  double atanDif2 = atanMax2 - atanMin2;
  double wtDif2   = atanDif2 / (M_PI * NPOINT);

  // If on-shell decay forbidden then split integration range
  // to ensure that low-mass region is not forgotten.
  bool mustDiv    = false;
  double mDiv1    = 0.;
  double atanDiv1 = 0.;
  double atanDLo1 = 0.;
  double atanDHi1 = 0.;
  double wtDLo1   = 0.;
  double wtDHi1   = 0.;
  double mDiv2    = 0.;
  double atanDiv2 = 0.;
  double atanDLo2 = 0.;
  double atanDHi2 = 0.;
  double wtDLo2   = 0.;
  double wtDHi2   = 0.;
  if (m1 + m2 > mHatIn) {
    mustDiv       = true;
    double tmpDiv = (mHatIn - m1 - m2) / (Gamma1 + Gamma2);
    mDiv1         = m1 + Gamma1 * tmpDiv;
    atanDiv1      = atan( (mDiv1 * mDiv1 - s1) / mG1 );
    atanDLo1      = atanDiv1 - atanMin1;
    atanDHi1      = atanMax1 - atanDiv1;
    wtDLo1        = atanDLo1 / (M_PI * NPOINT);
    wtDHi1        = atanDHi1 / (M_PI * NPOINT);
    mDiv2         = m2 + Gamma2 * tmpDiv;
    atanDiv2      = atan( (mDiv2 * mDiv2 - s2) / mG2 );
    atanDLo2      = atanDiv2 - atanMin2;
    atanDHi2      = atanMax2 - atanDiv2;
    wtDLo2        = atanDLo2 / (M_PI * NPOINT);
    wtDHi2        = atanDHi2 / (M_PI * NPOINT);
  }

  // Step size in atan-mapped variable.
  double xStep    = 1. / NPOINT;
  int nIter       = (mustDiv) ? 2 * NPOINT : NPOINT;

  // Variables used in loop over integration points.
  double sum      = 0.;
  double xNow1, sNow1, mNow1, mrNow1, xNow2, sNow2, mNow2, mrNow2, psNow,
         value;
  double wtNow1   = wtDif1;
  double wtNow2   = wtDif2;

  // Outer loop with first-particle mass selection.
  for (int ip1 = 0; ip1 < nIter; ++ip1) {
    if (!mustDiv) {
      xNow1       = xStep * (ip1 + 0.5);
      sNow1       = s1 + mG1 * tan(atanMin1 + xNow1 * atanDif1);
    } else if (ip1 < NPOINT) {
      xNow1       = xStep * (ip1 + 0.5);
      sNow1       = s1 + mG1 * tan(atanMin1 + xNow1 * atanDLo1);
      wtNow1      = wtDLo1;
    } else {
      xNow1       = xStep * (ip1 - NPOINT + 0.5);
      sNow1       = s1 + mG1 * tan(atanDiv1 + xNow1 * atanDHi1);
      wtNow1      = wtDHi1;
    }
    mNow1         = min( mMax1, max( mMin1, sqrtpos(sNow1) ) );
    mrNow1        = pow2(mNow1 / mHatIn);

    // Inner loop with second-particle mass selection.
    for (int ip2 = 0; ip2 < nIter; ++ip2) {
      if (!mustDiv) {
        xNow2     = xStep * (ip2 + 0.5);
        sNow2     = s2 + mG2 * tan(atanMin2 + xNow2 * atanDif2);
      } else if (ip2 < NPOINT) {
        xNow2     = xStep * (ip2 + 0.5);
        sNow2     = s2 + mG2 * tan(atanMin2 + xNow2 * atanDLo2);
        wtNow2    = wtDLo2;
      } else {
        xNow2     = xStep * (ip2 - NPOINT + 0.5);
        sNow2     = s2 + mG2 * tan(atanDiv2 + xNow2 * atanDHi2);
        wtNow2    = wtDHi2;
      }
      mNow2       = min( mMax2, max( mMin2, sqrtpos(sNow2) ) );
      mrNow2      = pow2(mNow2 / mHatIn);

      // Check that point is inside phase space.
      if (mNow1 + mNow2 > mHatIn) break;

      // Evaluate value and add to sum. Different matrix elements.
      psNow       = sqrtpos( pow2(1. - mrNow1 - mrNow2)
                    - 4. * mrNow1 * mrNow2);
      value       = 1.;
      if      (psMode == 1) value = psNow;
      else if (psMode == 2) value = psNow * psNow;
      else if (psMode == 3) value = pow3(psNow);
      else if (psMode == 5) value = psNow
        * (pow2(1. - mrNow1 - mrNow2) + 8. * mrNow1 * mrNow2);
      else if (psMode == 6) value = pow3(psNow);
      sum        += value * wtNow1 * wtNow2;

    // End of second and first loop over integration points.
    }
  }

  // Done.
  return sum;
}
 
//==========================================================================

// The ResonanceGmZ class.
// Derived class for gamma*/Z0 properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceGmZ::initConstants() {

  // Locally stored properties and couplings.
  gmZmode     = settingsPtr->mode("WeakZ0:gmZmode");
  thetaWRat   = 1. / (16. * couplingsPtr->sin2thetaW()
                * couplingsPtr->cos2thetaW());

  // The Z0copy with id = 93 is a pure Z0.
  if (idRes == 93) gmZmode = 2;

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceGmZ::calcPreFac(bool calledFromInit) {

  // Common coupling factors.
  alpEM       = couplingsPtr->alphaEM(mHat * mHat);
  alpS        = couplingsPtr->alphaS(mHat * mHat);
  colQ        = 3. * (1. + alpS / M_PI);
  preFac      = alpEM * thetaWRat * mHat / 3.;

  // When call for incoming flavour need to consider gamma*/Z0 mix.
  if (!calledFromInit) {

    // Couplings when an incoming fermion is specified; elso only pure Z0.
    ei2       = 0.;
    eivi      = 0.;
    vi2ai2    = 1.;
    int idInFlavAbs = abs(idInFlav);
    if (idInFlavAbs > 0 && idInFlavAbs < 19) {
      ei2     = couplingsPtr->ef2(idInFlavAbs);
      eivi    = couplingsPtr->efvf(idInFlavAbs);
      vi2ai2  = couplingsPtr->vf2af2(idInFlavAbs);
    }

    // Calculate prefactors for gamma/interference/Z0 terms.
    double sH = mHat * mHat;
    gamNorm   = ei2;
    intNorm   = 2. * eivi * thetaWRat * sH * (sH - m2Res)
              / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
    resNorm   = vi2ai2 * pow2(thetaWRat * sH)
              / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

    // Optionally only keep gamma* or Z0 term.
    if (gmZmode == 1) {intNorm = 0.; resNorm = 0.;}
    if (gmZmode == 2) {gamNorm = 0.; intNorm = 0.;}
  }

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceGmZ::calcWidth(bool calledFromInit) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Only contributions from three fermion generations, except top.
  if ( (id1Abs > 5 && id1Abs < 11) || id1Abs > 16 ) return;
  
  // At initialization only the pure Z0 should be considered.
  if (calledFromInit) {

    // Combine kinematics with colour factor and couplings.
    widNow  = preFac * ps * (couplingsPtr->vf2(id1Abs) * (1. + 2. * mr1)
            + couplingsPtr->af2(id1Abs) * ps*ps);
    if (id1Abs < 6) widNow *= colQ;
  }

  // When call for incoming flavour need to consider gamma*/Z0 mix.
  else {

    // Kinematical factors and couplings.
    double kinFacV  = ps * (1. + 2. * mr1);
    double ef2      = couplingsPtr->ef2(id1Abs) * kinFacV;
    double efvf     = couplingsPtr->efvf(id1Abs) * kinFacV;
    double vf2af2   = couplingsPtr->vf2(id1Abs) * kinFacV
                    + couplingsPtr->af2(id1Abs) * pow3(ps);
    
    // Relative outwidths: combine instate, propagator and outstate.
    widNow = gamNorm * ef2 + intNorm * efvf + resNorm * vf2af2;

    // Colour factor.
    if (id1Abs < 6) widNow *= colQ;
  }

}
 
//==========================================================================

// The ResonanceW class.
// Derived class for W+- properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceW::initConstants() {

  // Locally stored properties and couplings.
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceW::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = alpEM * thetaWRat * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceW::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Only contributions from three fermion generations, except top.
  if ( (id1Abs > 5 && id1Abs < 11) || id1Abs > 16 ) return;


  // Combine kinematics with colour factor and couplings.
  widNow    = preFac * ps
            * (1. - 0.5 * (mr1 + mr2) - 0.5 * pow2(mr1 - mr2));
  if (id1Abs < 6) widNow *= colQ * couplingsPtr->V2CKMid(id1Abs, id2Abs);

}
 
//==========================================================================

// The ResonanceTop class.
// Derived class for top/antitop properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceTop::initConstants() {

  // Locally stored properties and couplings.
  thetaWRat = 1. / (16. * couplingsPtr->sin2thetaW());
  m2W       = pow2(particleDataPtr->m0(24));

  // Extra coupling factors for t -> H+ + b.
  tanBeta   = settingsPtr->parm("HiggsHchg:tanBeta");
  tan2Beta  = tanBeta * tanBeta;
  mbRun     = particleDataPtr->mRun( 5, particleDataPtr->m0(6) );
 
}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceTop::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 1. - 2.5 * alpS / M_PI;
  preFac    = alpEM * thetaWRat * pow3(mHat) / m2W;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceTop::calcWidth(bool) {


  // Check that above threshold.
  if (ps == 0.) return;

  // Contributions from W + quark.
  if (id1Abs == 24 && id2Abs < 6) {
    widNow  = preFac * ps
            * ( pow2(1. - mr2) + (1. + mr2) * mr1 - 2. * mr1 * mr1 );

    // Combine with colour factor and CKM couplings.
    widNow *= colQ * couplingsPtr->V2CKMid(6, id2Abs);

  // Contributions from H+ + quark (so far only b).
  } else if (id1Abs == 37 && id2Abs == 5) {
    widNow  = preFac * ps * ( (1. + mr2 - mr1)
            * (pow2(mbRun / mHat) * tan2Beta + 1. / tan2Beta)
            + 4. * mbRun * mf2 / pow2(mHat) );
  }

}
 
//==========================================================================

// The ResonanceFour class.
// Derived class for fourth-generation properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceFour::initConstants() {

  // Locally stored properties and couplings.
  thetaWRat = 1. / (16. * couplingsPtr->sin2thetaW());
  m2W       = pow2(particleDataPtr->m0(24));

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceFour::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = (idRes < 9) ? 1. - 2.5 * alpS / M_PI : 1.;
  preFac    = alpEM * thetaWRat * pow3(mHat) / m2W;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceFour::calcWidth(bool) {

  // Only contributions from W + fermion.
  if (id1Abs != 24 || id2Abs > 18) return;

  // Check that above threshold. Kinematical factor.
  if (ps == 0.) return;
  widNow    = preFac * ps
            * ( pow2(1. - mr2) + (1. + mr2) * mr1 - 2. * mr1 * mr1 );

  // Combine with colour factor and CKM couplings.
  if (idRes < 9) widNow *= colQ * couplingsPtr->V2CKMid(idRes, id2Abs);

}
 
//==========================================================================

// The ResonanceH class.
// Derived class for SM and BSM Higgs properties.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Minimal mass for W, Z, top in integration over respective Breit-Wigner.
// Top constrainted by t -> W b decay, which is not seen in simple top BW.
const double ResonanceH::MASSMINWZ = 10.;
const double ResonanceH::MASSMINT  = 100.;

// Number of widths above threshold where B-W integration not needed.
const double ResonanceH::GAMMAMARGIN = 10.;

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceH::initConstants() {

  // Locally stored properties and couplings.
  useCubicWidth  = settingsPtr->flag("Higgs:cubicWidth");
  useRunLoopMass = settingsPtr->flag("Higgs:runningLoopMass");
  sin2tW         = couplingsPtr->sin2thetaW();
  cos2tW         = 1. - sin2tW;
  mT             = particleDataPtr->m0(6);
  mZ             = particleDataPtr->m0(23);
  mW             = particleDataPtr->m0(24);
  mHchg          = particleDataPtr->m0(37);
  GammaT         = particleDataPtr->mWidth(6);
  GammaZ         = particleDataPtr->mWidth(23);
  GammaW         = particleDataPtr->mWidth(24);

  // NLO corrections to SM Higgs width, rescaled to reference alpha_S value.
  useNLOWidths   = (higgsType == 0) && settingsPtr->flag("HiggsSM:NLOWidths");
  rescAlpS       = 0.12833 / couplingsPtr->alphaS(125. * 125.);
  rescColQ       = 1.;

  // Couplings to fermions, Z and W, depending on Higgs type.
  coup2d         = 1.;
  coup2u         = 1.;
  coup2l         = 1.;
  coup2Z         = 1.;
  coup2W         = 1.;
  coup2Hchg      = 0.;
  coup2H1H1      = 0.;
  coup2A3A3      = 0.;
  coup2H1Z       = 0.;
  coup2A3Z       = 0.;
  coup2A3H1      = 0.;
  coup2HchgW     = 0.;
  if (higgsType == 1) {
    coup2d       = settingsPtr->parm("HiggsH1:coup2d");
    coup2u       = settingsPtr->parm("HiggsH1:coup2u");
    coup2l       = settingsPtr->parm("HiggsH1:coup2l");
    coup2Z       = settingsPtr->parm("HiggsH1:coup2Z");
    coup2W       = settingsPtr->parm("HiggsH1:coup2W");
    coup2Hchg    = settingsPtr->parm("HiggsH1:coup2Hchg");
  } else if (higgsType == 2) {
    coup2d       = settingsPtr->parm("HiggsH2:coup2d");
    coup2u       = settingsPtr->parm("HiggsH2:coup2u");
    coup2l       = settingsPtr->parm("HiggsH2:coup2l");
    coup2Z       = settingsPtr->parm("HiggsH2:coup2Z");
    coup2W       = settingsPtr->parm("HiggsH2:coup2W");
    coup2Hchg    = settingsPtr->parm("HiggsH2:coup2Hchg");
    coup2H1H1    = settingsPtr->parm("HiggsH2:coup2H1H1");
    coup2A3A3    = settingsPtr->parm("HiggsH2:coup2A3A3");
    coup2H1Z     = settingsPtr->parm("HiggsH2:coup2H1Z");
    coup2A3Z     = settingsPtr->parm("HiggsA3:coup2H2Z");
    coup2A3H1    = settingsPtr->parm("HiggsH2:coup2A3H1");
    coup2HchgW   = settingsPtr->parm("HiggsH2:coup2HchgW");
  } else if (higgsType == 3) {
    coup2d       = settingsPtr->parm("HiggsA3:coup2d");
    coup2u       = settingsPtr->parm("HiggsA3:coup2u");
    coup2l       = settingsPtr->parm("HiggsA3:coup2l");
    coup2Z       = settingsPtr->parm("HiggsA3:coup2Z");
    coup2W       = settingsPtr->parm("HiggsA3:coup2W");
    coup2Hchg    = settingsPtr->parm("HiggsA3:coup2Hchg");
    coup2H1H1    = settingsPtr->parm("HiggsA3:coup2H1H1");
    coup2H1Z     = settingsPtr->parm("HiggsA3:coup2H1Z");
    coup2HchgW   = settingsPtr->parm("HiggsA3:coup2Hchg");
  }

  // Initialization of threshold kinematical factor by stepwise
  // numerical integration of H -> t tbar, Z0 Z0 and W+ W-.
  int psModeT  = (higgsType < 3) ? 3 : 1;
  int psModeWZ = (higgsType < 3) ? 5 : 6;
  mLowT        = max( 2.02 * MASSMINT, 0.5 * mT);
  mStepT       = 0.01 * (3. * mT - mLowT);
  mLowZ        = max( 2.02 * MASSMINWZ, 0.5 * mZ);
  mStepZ       = 0.01 * (3. * mZ - mLowZ);
  mLowW        = max( 2.02 * MASSMINWZ, 0.5 * mW);
  mStepW       = 0.01 * (3. * mW - mLowW);
  for (int i = 0; i <= 100; ++i) {
    kinFacT[i] = numInt2BW( mLowT + i * mStepT,
                 mT, GammaT, MASSMINT,  mT, GammaT, MASSMINT,  psModeT);
    kinFacZ[i] = numInt2BW( mLowZ + i * mStepZ,
                 mZ, GammaZ, MASSMINWZ, mZ, GammaZ, MASSMINWZ, psModeWZ);
    kinFacW[i] = numInt2BW( mLowW + i * mStepW,
                 mW, GammaW, MASSMINWZ, mW, GammaW, MASSMINWZ, psModeWZ);
  }

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceH::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = (alpEM / (8. * sin2tW)) * pow3(mHat) / pow2(mW);
  if (useNLOWidths) rescColQ = 3. * (1. + rescAlpS * alpS / M_PI) / colQ; 

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceH::calcWidth(bool) {

  // Widths of decays Higgs -> f + fbar.
  if ( id2Abs == id1Abs && ( (id1Abs > 0 && id1Abs < 7)
    || (id1Abs > 10 && id1Abs < 17) ) ) {
    kinFac = 0.;

    // Check that above threshold (well above for top). Kinematical factor.
    if ( (id1Abs != 6 && mHat > 2. * mf1 + MASSMARGIN)
      || (id1Abs == 6 && mHat > 3. * mT ) ) {
      // A0 behaves like beta, h0 and H0 like beta**3.
      kinFac = (higgsType < 3) ? pow3(ps) : ps;
    }

    // Top near or below threshold: interpolate in table.
    else if (id1Abs == 6 && mHat > mLowT) {
      double xTab = (mHat - mLowT) / mStepT;
      int    iTab = max( 0, min( 99, int(xTab) ) );
      kinFac      = kinFacT[iTab]
                  * pow( kinFacT[iTab + 1] / kinFacT[iTab], xTab - iTab);
    }

    // Coupling from mass and from BSM deviation from SM.
    double coupFac = pow2(particleDataPtr->mRun(id1Abs, mHat) / mHat);
    if (id1Abs < 7 && id1Abs%2 == 1) coupFac *= coup2d * coup2d;
    else if (id1Abs < 7)             coupFac *= coup2u * coup2u;
    else                             coupFac *= coup2l * coup2l;

    // Combine couplings and phase space with colour factor.
    widNow = preFac * coupFac * kinFac;
    if (id1Abs < 7) widNow *= colQ;
  }

  // Widths of decays Higgs -> g + g.
  else if (id1Abs == 21 && id2Abs == 21)
    widNow = preFac * pow2(alpS / M_PI) * eta2gg();

  // Widths of decays Higgs -> gamma + gamma.
  else if (id1Abs == 22 && id2Abs == 22)
    widNow = preFac * pow2(alpEM / M_PI) * 0.5 * eta2gaga();
 
  // Widths of decays Higgs -> Z0 + gamma0.
  else if (id1Abs == 23 && id2Abs == 22)
    widNow = preFac * pow2(alpEM / M_PI) * pow3(ps) * eta2gaZ();
    
  // Widths of decays Higgs (h0, H0) -> Z0 + Z0.
  else if (id1Abs == 23 && id2Abs == 23) {
    // If Higgs heavy use on-shell expression, else interpolation in table
    if (mHat > 3. * mZ) kinFac = (1.  - 4. * mr1 + 12. * mr1 * mr1) * ps;
    else if (mHat > mLowZ) {
      double xTab = (mHat - mLowZ) / mStepZ;
      int    iTab = max( 0, min( 99, int(xTab) ) );
      kinFac      = kinFacZ[iTab]
                  * pow( kinFacZ[iTab + 1] / kinFacZ[iTab], xTab - iTab );
    }
    else kinFac   = 0.;
    // Prefactor, normally rescaled to mRes^2 * mHat rather than mHat^3.
    widNow        = 0.25 * preFac * pow2(coup2Z) * kinFac;
    if (!useCubicWidth) widNow *= pow2(mRes / mHat);
  }
 
  // Widths of decays Higgs (h0, H0) -> W+ + W-.
  else if (id1Abs == 24 && id2Abs == 24) {
    // If Higgs heavy use on-shell expression, else interpolation in table.
    if (mHat > 3. * mW) kinFac = (1.  - 4. * mr1 + 12. * mr1 * mr1) * ps;
    else if (mHat > mLowW) {
      double xTab = (mHat - mLowW) / mStepW;
      int    iTab = max( 0, min( 99, int(xTab) ) );
      kinFac      = kinFacW[iTab]
                  * pow( kinFacW[iTab + 1] / kinFacW[iTab], xTab - iTab);
    }
    else kinFac   = 0.;
    // Prefactor, normally rescaled to mRes^2 * mHat rather than mHat^3.
    widNow        = 0.5 * preFac * pow2(coup2W) * kinFac;
    if (!useCubicWidth) widNow *= pow2(mRes / mHat);
  }
 
  // Widths of decays Higgs (H0) -> h0 + h0.
  else if (id1Abs == 25 && id2Abs == 25)
    widNow = 0.25 * preFac * pow4(mZ / mHat) * ps * pow2(coup2H1H1);
     
  // Widths of decays Higgs (H0) -> A0 + A0.
  else if (id1Abs == 36 && id2Abs == 36)
    widNow = 0.5 * preFac * pow4(mZ / mHat) * ps * pow2(coup2A3A3);
 
  // Widths of decays Higgs (A0) -> h0 + Z0.
  else if (id1Abs == 25 && id2Abs == 23)
    widNow = 0.5 * preFac * pow3(ps) * pow2(coup2H1Z);
 
  // Widths of decays Higgs (H0) -> A0 + Z0.
  else if (id1Abs == 36 && id2Abs == 23)
    widNow = 0.5 * preFac * pow3(ps) * pow2(coup2A3Z);
   
  // Widths of decays Higgs (H0) -> A0 + h0.
  else if (id1Abs == 36 && id2Abs == 25)
    widNow = 0.25 * preFac * pow4(mZ / mHat) * ps * pow2(coup2A3H1);
 
  // Widths of decays Higgs -> H+- + W-+.
  else if (id1Abs == 37 && id2Abs == 24)
    widNow = 0.5 * preFac * pow3(ps) * pow2(coup2HchgW);

  // NLO multiplicative factors for SM h0 (125 GeV) based on LHCXSWG
  // recommendations.
  if (useNLOWidths) {
    if      (id1Abs == 21 && id2Abs == 21) widNow *= 1.47 * pow2(rescAlpS);
    else if (id1Abs == 22 && id2Abs == 22) widNow *= 0.88;
    else if (id1Abs == 22 && id2Abs == 23) widNow *= 0.95;
    else if (id1Abs == 23 && id2Abs == 23) widNow *= 1.10;
    else if (id1Abs == 24 && id2Abs == 24) widNow *= 1.09;
    else if (id1Abs ==  5 && id2Abs ==  5) widNow *= 1.07  * rescColQ;
    else if (id1Abs ==  4 && id2Abs ==  4) widNow *= 0.937 * rescColQ;
    else if (id1Abs == 13 && id2Abs == 13) widNow *= 0.974;
    else if (id1Abs == 15 && id2Abs == 15) widNow *= 0.992;
  }

}

//--------------------------------------------------------------------------

// Sum up quark loop contributions in Higgs -> g + g.
// Note: running quark masses are used, unlike Pythia6 (not negligible shift).

double ResonanceH::eta2gg() {

  // Initial values.
  complex eta = complex(0., 0.);
  double  mLoop, epsilon, root, rootLog;
  complex phi, etaNow;

  // Loop over s, c, b, t quark flavours.
  for (int idNow = 3; idNow < 7; ++idNow) {
    mLoop   = (useRunLoopMass) ? particleDataPtr->mRun(idNow, mHat)
                               : particleDataPtr->m0(idNow);
    epsilon = pow2(2. * mLoop / mHat);

    // Value of loop integral.
    if (epsilon <= 1.) {
      root    = sqrt(1. - epsilon);
      rootLog = (epsilon < 1e-4) ? log(4. / epsilon - 2.)
                : log( (1. + root) / (1. - root) );
      phi     = complex( -0.25 * (pow2(rootLog) - pow2(M_PI)),
                0.5 * M_PI * rootLog );
    }
    else phi  = complex( pow2( asin(1. / sqrt(epsilon)) ), 0.);
  
    // Factors that depend on Higgs and flavour type.
    if (higgsType < 3) etaNow = -0.5 * epsilon
      * (complex(1., 0.) + (1. - epsilon) * phi);
    else etaNow = -0.5 * epsilon * phi;
    if (idNow%2 == 1) etaNow *= coup2d;
    else              etaNow *= coup2u;
    
    // Sum up contribution and return square of absolute value.
    eta += etaNow;
  }
  return (pow2(eta.real()) + pow2(eta.imag()));

}

//--------------------------------------------------------------------------

// Sum up quark, lepton, W+- and (for BSM) H+- loop contributions
// in Higgs -> gamma + gamma.

double ResonanceH::eta2gaga() {

  // Initial values.
  complex eta = complex(0., 0.);
  int     idNow;
  double  ef, mLoop, epsilon, root, rootLog;
  complex phi, etaNow;

  // Loop over s, c, b, t, mu, tau, W+-, H+- flavours.
  for (int idLoop = 0; idLoop < 8; ++idLoop) {
    if      (idLoop < 4) idNow = idLoop + 3;
    else if (idLoop < 6) idNow = 2 * idLoop + 5;
    else if (idLoop < 7) idNow = 24;
    else                 idNow = 37;
    if (idNow == 37 && higgsType == 0) continue;
 
    // Charge and loop integral parameter.
    ef      = (idNow < 20) ? couplingsPtr->ef(idNow) : 1.;
    mLoop   = (useRunLoopMass) ? particleDataPtr->mRun(idNow, mHat)
                               : particleDataPtr->m0(idNow);
    epsilon = pow2(2. * mLoop / mHat);

    // Value of loop integral.
    if (epsilon <= 1.) {
      root    = sqrt(1. - epsilon);
      rootLog = (epsilon < 1e-4) ? log(4. / epsilon - 2.)
                : log( (1. + root) / (1. - root) );
      phi     = complex( -0.25 * (pow2(rootLog) - pow2(M_PI)),
                0.5 * M_PI * rootLog );
    }
    else phi  = complex( pow2( asin(1. / sqrt(epsilon)) ), 0.);

    // Expressions for quarks and leptons that depend on Higgs type.
    if (idNow < 17) {
      if (higgsType < 3) etaNow = -0.5 * epsilon
        * (complex(1., 0.) + (1. - epsilon) * phi);
      else etaNow = -0.5 * epsilon * phi;
      if (idNow < 7 && idNow%2 == 1) etaNow *= 3. * pow2(ef) * coup2d;
      else if (idNow < 7 )           etaNow *= 3. * pow2(ef) * coup2u;
      else                           etaNow *=      pow2(ef) * coup2l;
    }

    // Expression for W+-.
    else if (idNow == 24) etaNow = (complex(0.5 + 0.75 * epsilon, 0.)
      + 0.75 * epsilon * (2. - epsilon) * phi) * coup2W;
 
    // Expression for H+-.
   else etaNow = (complex(epsilon, 0.) - epsilon * epsilon * phi)
     * pow2(mW / mHchg) * coup2Hchg;
    
    // Sum up contribution and return square of absolute value.
    eta       += etaNow;
  }
  return (pow2(eta.real()) + pow2(eta.imag()));

}

//--------------------------------------------------------------------------

// Sum up quark, lepton, W+- and (for BSM) H+- loop contributions
// in Higgs -> gamma + Z0.

double ResonanceH::eta2gaZ() {

  // Initial values.
  complex eta = complex(0., 0.);
  int     idNow;
  double  ef, vf, mLoop, epsilon, epsPrime, root, rootLog, asinEps;
  complex phi, psi, phiPrime, psiPrime, fXY, f1, etaNow;

  // Loop over s, c, b, t, mu , tau, W+-, H+- flavours.
  for (int idLoop = 0; idLoop < 7; ++idLoop) {
    if      (idLoop < 4) idNow = idLoop + 3;
    else if (idLoop < 6) idNow = 2 * idLoop + 5;
    else if (idLoop < 7) idNow = 24;
    else                 idNow = 37;

    // Electroweak charges and loop integral parameters.
    ef        = (idNow < 20) ? couplingsPtr->ef(idNow) : 1.;
    vf        = (idNow < 20) ? couplingsPtr->vf(idNow) : 0.;
    mLoop     = (useRunLoopMass) ? particleDataPtr->mRun(idNow, mHat)
                                 : particleDataPtr->m0(idNow);
    epsilon   = pow2(2. * mLoop / mHat);
    epsPrime  = pow2(2. * mLoop / mZ);

    // Value of loop integral for epsilon = 4 m^2 / sHat.
    if (epsilon <= 1.) {
      root    = sqrt(1. - epsilon);
      rootLog = (epsilon < 1e-4) ? log(4. / epsilon - 2.)
                : log( (1. + root) / (1. - root) );
      phi     = complex( -0.25 * (pow2(rootLog) - pow2(M_PI)),
                0.5 * M_PI * rootLog );
      psi     = 0.5 * root * complex( rootLog, -M_PI);
    } else {
      asinEps = asin(1. / sqrt(epsilon));
      phi     = complex( pow2(asinEps), 0.);
      psi     = complex( sqrt(epsilon - 1.) * asinEps, 0.);
    }

    // Value of loop integral for epsilonPrime = 4 m^2 / m_Z^2.
    if (epsPrime <= 1.) {
      root     = sqrt(1. - epsPrime);
      rootLog  = (epsPrime < 1e-4) ? log(4. / epsPrime - 2.)
                 : log( (1. + root) / (1. - root) );
      phiPrime = complex( -0.25 * (pow2(rootLog) - pow2(M_PI)),
                          0.5 * M_PI * rootLog );
      psiPrime = 0.5 * root * complex( rootLog, -M_PI);
    } else {
      asinEps  = asin(1. / sqrt(epsPrime));
      phiPrime = complex( pow2(asinEps), 0.);
      psiPrime = complex( sqrt(epsPrime - 1.) * asinEps, 0.);
    }

    // Combine the two loop integrals.
    fXY = (epsilon * epsPrime / (8. * pow2(epsilon - epsPrime)))
      * ( complex(epsilon - epsPrime, 0)
      + epsilon * epsPrime * (phi - phiPrime)
      + 2. * epsilon * (psi - psiPrime) );
    f1 = - (epsilon * epsPrime / (2. * (epsilon - epsPrime)))
      * (phi - phiPrime);

    // Expressions for quarks and leptons that depend on Higgs type.
    if (idNow < 17) {
      etaNow = (higgsType < 3) ? -fXY + 0.25 * f1 : 0.25 * f1;
      if (idNow < 7 && idNow%2 == 1) etaNow *= 3. * ef * vf * coup2d;
      else if (idNow < 7)         etaNow *= 3. * ef * vf * coup2u;
      else                     etaNow *=      ef * vf * coup2l;

    // Expression for W+-.
    } else if (idNow == 24) {
      double coef1  = 3. - sin2tW / cos2tW;
      double coefXY = (1. + 2. / epsilon) * sin2tW / cos2tW
        - (5. + 2. / epsilon);
      etaNow = -cos2tW * (coef1 * f1 + coefXY * fXY) * coup2W;

    // Expression for H+-.
    } else etaNow = (1. - 2. * sin2tW) * fXY * pow2(mW / mHchg)
      * coup2Hchg;
    
    // Sum up contribution and return square of absolute value.
    eta += etaNow;
  }
  return ( (pow2(eta.real()) + pow2(eta.imag())) / (sin2tW * cos2tW) );

}
 
//==========================================================================

// The ResonanceHchg class.
// Derived class for H+- properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceHchg::initConstants() {

  // Locally stored properties and couplings.
  useCubicWidth = settingsPtr->flag("Higgs:cubicWidth");
  thetaWRat     = 1. / (8. * couplingsPtr->sin2thetaW());
  mW            = particleDataPtr->m0(24);
  tanBeta       = settingsPtr->parm("HiggsHchg:tanBeta");
  tan2Beta      = tanBeta * tanBeta;
  coup2H1W      = settingsPtr->parm("HiggsHchg:coup2H1W");

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceHchg::calcPreFac(bool) {

  // Common coupling factors.
  alpEM         = couplingsPtr->alphaEM(mHat * mHat);
  alpS          = couplingsPtr->alphaS(mHat * mHat);
  colQ          = 3. * (1. + alpS / M_PI);
  preFac        = alpEM * thetaWRat * pow3(mHat) / pow2(mW);

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceHchg::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // H+- decay to fermions involves running masses.
  if (id1Abs < 17 && (id1Abs < 7 || id1Abs > 10)) {
    double mRun1   = particleDataPtr->mRun(id1Abs, mHat);
    double mRun2   = particleDataPtr->mRun(id2Abs, mHat);
    double mrRunDn = pow2(mRun1 / mHat);
    double mrRunUp = pow2(mRun2 / mHat);
    if (id1Abs%2 == 0) swap( mrRunDn, mrRunUp);

    // Width to fermions: couplings, kinematics, colour factor.
    widNow = preFac * max( 0., (mrRunDn * tan2Beta + mrRunUp / tan2Beta)
           * (1. - mrRunDn - mrRunUp) - 4. *mrRunDn * mrRunUp ) * ps;
    if (id1Abs < 7) widNow *= colQ;
  }

  // H+- decay to h0 + W+-.
  else if (id1Abs == 25 && id2Abs == 24)
    widNow    = 0.5 * preFac * pow3(ps) * pow2(coup2H1W);

}
 
//==========================================================================

// The ResonanceZprime class.
// Derived class for gamma*/Z0/Z'^0 properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceZprime::initConstants() {

  // Locally stored properties and couplings.
  gmZmode     = settingsPtr->mode("Zprime:gmZmode");
  sin2tW      = couplingsPtr->sin2thetaW();
  cos2tW      = 1. - sin2tW;
  thetaWRat   = 1. / (16. * sin2tW * cos2tW);

  // Properties of Z resonance.
  mZ          = particleDataPtr->m0(23);
  GammaZ      = particleDataPtr->mWidth(23);
  m2Z         = mZ*mZ;
  GamMRatZ    = GammaZ / mZ;

  // Ensure that arrays initially empty.
  for (int i = 0; i < 20; ++i) afZp[i] = 0.;
  for (int i = 0; i < 20; ++i) vfZp[i] = 0.;
  
  // Store first-generation axial and vector couplings.
  afZp[1]     = settingsPtr->parm("Zprime:ad");
  afZp[2]     = settingsPtr->parm("Zprime:au");
  afZp[11]    = settingsPtr->parm("Zprime:ae");
  afZp[12]    = settingsPtr->parm("Zprime:anue");
  vfZp[1]     = settingsPtr->parm("Zprime:vd");
  vfZp[2]     = settingsPtr->parm("Zprime:vu");
  vfZp[11]    = settingsPtr->parm("Zprime:ve");
  vfZp[12]    = settingsPtr->parm("Zprime:vnue");

  // Second and third generation could be carbon copy of this...
  if (settingsPtr->flag("Zprime:universality")) {
    for (int i = 3; i <= 6; ++i) {
      afZp[i]    = afZp[i-2];
      vfZp[i]    = vfZp[i-2];
      afZp[i+10] = afZp[i+8];
      vfZp[i+10] = vfZp[i+8];
    }

  // ... or could have different couplings.
  } else {
    afZp[3]   = settingsPtr->parm("Zprime:as");
    afZp[4]   = settingsPtr->parm("Zprime:ac");
    afZp[5]   = settingsPtr->parm("Zprime:ab");
    afZp[6]   = settingsPtr->parm("Zprime:at");
    afZp[13]  = settingsPtr->parm("Zprime:amu");
    afZp[14]  = settingsPtr->parm("Zprime:anumu");
    afZp[15]  = settingsPtr->parm("Zprime:atau");
    afZp[16]  = settingsPtr->parm("Zprime:anutau");
    vfZp[3]   = settingsPtr->parm("Zprime:vs");
    vfZp[4]   = settingsPtr->parm("Zprime:vc");
    vfZp[5]   = settingsPtr->parm("Zprime:vb");
    vfZp[6]   = settingsPtr->parm("Zprime:vt");
    vfZp[13]  = settingsPtr->parm("Zprime:vmu");
    vfZp[14]  = settingsPtr->parm("Zprime:vnumu");
    vfZp[15]  = settingsPtr->parm("Zprime:vtau");
    vfZp[16]  = settingsPtr->parm("Zprime:vnutau");
  }

  // Coupling for Z' -> W+ W-.
  coupZpWW    = settingsPtr->parm("Zprime:coup2WW");

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceZprime::calcPreFac(bool calledFromInit) {

  // Common coupling factors.
  alpEM       = couplingsPtr->alphaEM(mHat * mHat);
  alpS        = couplingsPtr->alphaS(mHat * mHat);
  colQ        = 3. * (1. + alpS / M_PI);
  preFac      = alpEM * thetaWRat * mHat / 3.;

  // When call for incoming flavour need to consider gamma*/Z0 mix.
  if (!calledFromInit) {

    // Couplings when an incoming fermion is specified; elso only pure Z'0.
    ei2       = 0.;
    eivi      = 0.;
    vai2      = 0.;
    eivpi     = 0.;
    vaivapi   = 0.,
    vapi2     = 1.;
    int idInFlavAbs = abs(idInFlav);
    if (idInFlavAbs > 0 && idInFlavAbs < 19) {
      double ei  = couplingsPtr->ef(idInFlavAbs);
      double ai  = couplingsPtr->af(idInFlavAbs);
      double vi  = couplingsPtr->vf(idInFlavAbs);
      double api = afZp[idInFlavAbs];
      double vpi = vfZp[idInFlavAbs];
      ei2     = ei * ei;
      eivi    = ei * vi;
      vai2    = vi * vi + ai * ai;
      eivpi   = ei * vpi;
      vaivapi = vi * vpi + ai * api;;
      vapi2   = vpi * vpi + api * api;
    }

    // Calculate prefactors for gamma/interference/Z0 terms.
    double sH     = mHat * mHat;
    double propZ  = sH / ( pow2(sH - m2Z) + pow2(sH * GamMRatZ) );
    double propZp = sH / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
    gamNorm   = ei2;
    gamZNorm  = 2. * eivi * thetaWRat * (sH - m2Z) * propZ;
    ZNorm     = vai2 * pow2(thetaWRat) * sH * propZ;
    gamZpNorm = 2. * eivpi * thetaWRat * (sH - m2Res) * propZp;
    ZZpNorm   = 2. * vaivapi * pow2(thetaWRat) * ((sH - m2Res) * (sH - m2Z)
              + sH * GamMRat * sH * GamMRatZ) * propZ * propZp;
    ZpNorm    = vapi2 * pow2(thetaWRat) * sH * propZp;

    // Optionally only keep some of gamma*, Z0 and Z' terms.
    if (gmZmode == 1) {gamZNorm = 0; ZNorm = 0.; gamZpNorm = 0.;
      ZZpNorm = 0.; ZpNorm = 0.;}
    if (gmZmode == 2) {gamNorm = 0.; gamZNorm = 0.; gamZpNorm = 0.;
      ZZpNorm = 0.; ZpNorm = 0.;}
    if (gmZmode == 3) {gamNorm = 0.; gamZNorm = 0.; ZNorm = 0.;
      gamZpNorm = 0.; ZZpNorm = 0.;}
    if (gmZmode == 4) {gamZpNorm = 0.; ZZpNorm = 0.; ZpNorm = 0.;}
    if (gmZmode == 5) {gamZNorm = 0.; ZNorm = 0.; ZZpNorm = 0.;}
    if (gmZmode == 6) {gamNorm = 0.; gamZNorm = 0.; gamZpNorm = 0.;}
  }

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceZprime::calcWidth(bool calledFromInit) {

  // Check that above threshold.
  if (ps == 0.) return;
  
  // At initialization only the pure Z'0 should be considered.
  if (calledFromInit) {

    // Contributions from three fermion generations.
    if ( id1Abs < 7 || (id1Abs > 10 && id1Abs < 17) ) {
      double apf = afZp[id1Abs];
      double vpf = vfZp[id1Abs];
      widNow = preFac * ps * (vpf*vpf * (1. + 2. * mr1)
             + apf*apf * ps*ps);
      if (id1Abs < 7) widNow *= colQ;

    // Contribution from Z'0 -> W^+ W^-.
    } else if (id1Abs == 24) {
      widNow = preFac * pow2(coupZpWW * cos2tW) * pow3(ps)
        * (1. + mr1*mr1 + mr2*mr2 + 10. * (mr1 + mr2 + mr1 * mr2));
    }
  }

  // When call for incoming flavour need to consider full mix.
  else {

    // Contributions from three fermion generations.
    if ( id1Abs < 7 || (id1Abs > 10 && id1Abs < 17) ) {

      // Couplings of gamma^*/Z^0/Z'^0  to final flavour
      double ef  = couplingsPtr->ef(id1Abs);
      double af  = couplingsPtr->af(id1Abs);
      double vf  = couplingsPtr->vf(id1Abs);
      double apf = afZp[id1Abs];
      double vpf = vfZp[id1Abs];

      // Combine couplings with kinematical factors.
      double kinFacA  = pow3(ps);
      double kinFacV  = ps * (1. + 2. * mr1);
      double ef2      = ef * ef * kinFacV;
      double efvf     = ef * vf * kinFacV;
      double vaf2     = vf * vf * kinFacV + af * af * kinFacA;
      double efvpf    = ef * vpf * kinFacV;
      double vafvapf  = vf * vpf * kinFacV + af * apf * kinFacA;
      double vapf2    = vpf * vpf * kinFacV + apf * apf * kinFacA;
    
      // Relative outwidths: combine instate, propagator and outstate.
      widNow = gamNorm * ef2 + gamZNorm * efvf + ZNorm * vaf2
             + gamZpNorm * efvpf + ZZpNorm * vafvapf + ZpNorm * vapf2;
      if (id1Abs < 7) widNow *= colQ;

    // Contribution from Z'0 -> W^+ W^-.
    } else if (id1Abs == 24) {
      widNow = ZpNorm * pow2(coupZpWW * cos2tW) * pow3(ps)
        * (1. + mr1*mr1 + mr2*mr2 + 10. * (mr1 + mr2 + mr1 * mr2));
    }
  }

}
 
//==========================================================================

// The ResonanceWprime class.
// Derived class for W'+- properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceWprime::initConstants() {

  // Locally stored properties and couplings.
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());
  cos2tW    = couplingsPtr->cos2thetaW();

  // Axial and vector couplings of fermions.
  aqWp      = settingsPtr->parm("Wprime:aq");
  vqWp      = settingsPtr->parm("Wprime:vq");
  alWp      = settingsPtr->parm("Wprime:al");
  vlWp      = settingsPtr->parm("Wprime:vl");

  // Coupling for W' -> W Z.
  coupWpWZ    = settingsPtr->parm("Wprime:coup2WZ");

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceWprime::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = alpEM * thetaWRat * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceWprime::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Decay to quarks involves colour factor and CKM matrix.
  if (id1Abs > 0 && id1Abs < 7) widNow
    = preFac * ps * 0.5 * ((vqWp*vqWp + aqWp * aqWp)
    + 6. * (vqWp*vqWp - aqWp * aqWp) * sqrt(mr1 *mr2))
    * (1. - 0.5 * (mr1 + mr2) - 0.5 * pow2(mr1 - mr2))
    * colQ * couplingsPtr->V2CKMid(id1Abs, id2Abs);

  // Decay to leptons simpler.
  else if (id1Abs > 10 && id1Abs < 17) widNow
    = preFac * ps * 0.5 * ((vlWp*vqWp + alWp * aqWp)
    + 6. * (vlWp*vqWp - alWp * aqWp) * sqrt(mr1 *mr2))
    * (1. - 0.5 * (mr1 + mr2) - 0.5 * pow2(mr1 - mr2));

  // Decay to W^+- Z^0.
  else if (id1Abs == 24 && id2Abs == 23) widNow
    = preFac * 0.25 * pow2(coupWpWZ) * cos2tW * (mr1 / mr2) * pow3(ps)
    * (1. + mr1*mr1 + mr2*mr2 + 10. * (mr1 + mr2 + mr1 * mr2));

}
 
//==========================================================================

// The ResonanceRhorizontal class.
// Derived class for R^0 (horizontal gauge boson) properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceRhorizontal::initConstants() {

  // Locally stored properties and couplings.
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceRhorizontal::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = alpEM * thetaWRat * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceRhorizontal::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // R -> f fbar. Colour factor for quarks.
  widNow    = preFac * ps * (2. - mr1 - mr2 - pow2(mr1 - mr2));
  if (id1Abs < 9) widNow *= colQ;

}
 
//==========================================================================

// The ResonanceExcited class.
// Derived class for excited-fermion properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceExcited::initConstants() {

  // Locally stored properties and couplings.
  Lambda        = settingsPtr->parm("ExcitedFermion:Lambda");
  coupF         = settingsPtr->parm("ExcitedFermion:coupF");
  coupFprime    = settingsPtr->parm("ExcitedFermion:coupFprime");
  coupFcol      = settingsPtr->parm("ExcitedFermion:coupFcol");
  sin2tW        = couplingsPtr->sin2thetaW();
  cos2tW        = 1. - sin2tW;

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceExcited::calcPreFac(bool) {

  // Common coupling factors.
  alpEM         = couplingsPtr->alphaEM(mHat * mHat);
  alpS          = couplingsPtr->alphaS(mHat * mHat);
  preFac        = pow3(mHat) / pow2(Lambda);

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceExcited::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // f^* -> f g.
  if (id1Abs == 21) widNow = preFac * alpS * pow2(coupFcol) / 3.;

  // f^* -> f gamma.
  else if (id1Abs == 22) {
    double chgI3 = (id2Abs%2 == 0) ? 0.5 : -0.5;
    double chgY  = (id2Abs < 9) ? 1. / 6. : -0.5;
    double chg   = chgI3 * coupF + chgY * coupFprime;
    widNow       = preFac * alpEM * pow2(chg) / 4.;
  }

  // f^* -> f Z^0.
  else if (id1Abs == 23) {
    double chgI3 = (id2Abs%2 == 0) ? 0.5 : -0.5;
    double chgY  = (id2Abs < 9) ? 1. / 6. : -0.5;
    double chg   = chgI3 * cos2tW * coupF - chgY * sin2tW * coupFprime;
    widNow       = preFac * (alpEM * pow2(chg) / (8. * sin2tW * cos2tW))
                 * ps*ps * (2. + mr1);
  }

  // f^* -> f' W^+-.
  else if (id1Abs == 24) widNow  = preFac * (alpEM * pow2(coupF)
                 / (16. * sin2tW)) * ps*ps * (2. + mr1);

}
 
//==========================================================================

// The ResonanceGraviton class.
// Derived class for excited Graviton properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceGraviton::initConstants() {

  // SMinBulk = off/on, use universal coupling (kappaMG)
  // or individual (Gxx) between graviton and SM particles.
  eDsmbulk   = settingsPtr->flag("ExtraDimensionsG*:SMinBulk");
  eDvlvl = false;
  if (eDsmbulk) eDvlvl = settingsPtr->flag("ExtraDimensionsG*:VLVL");
  kappaMG    = settingsPtr->parm("ExtraDimensionsG*:kappaMG");
  for (int i = 0; i < 27; ++i) eDcoupling[i] = 0.;
  double tmp_coup = settingsPtr->parm("ExtraDimensionsG*:Gqq");
  for (int i = 1; i <= 4; ++i)  eDcoupling[i] = tmp_coup;
  eDcoupling[5] = settingsPtr->parm("ExtraDimensionsG*:Gbb");
  eDcoupling[6] = settingsPtr->parm("ExtraDimensionsG*:Gtt");
  tmp_coup = settingsPtr->parm("ExtraDimensionsG*:Gll");
  for (int i = 11; i <= 16; ++i) eDcoupling[i] = tmp_coup;
  eDcoupling[21] = settingsPtr->parm("ExtraDimensionsG*:Ggg");
  eDcoupling[22] = settingsPtr->parm("ExtraDimensionsG*:Ggmgm");
  eDcoupling[23] = settingsPtr->parm("ExtraDimensionsG*:GZZ");
  eDcoupling[24] = settingsPtr->parm("ExtraDimensionsG*:GWW");
  eDcoupling[25] = settingsPtr->parm("ExtraDimensionsG*:Ghh");

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceGraviton::calcPreFac(bool) {

  // Common coupling factors.
  alpS          = couplingsPtr->alphaS(mHat * mHat);
  colQ          = 3. * (1. + alpS / M_PI);
  preFac        = mHat / M_PI;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceGraviton::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Widths to fermion pairs.
  if (id1Abs < 19) {
     widNow  = preFac * pow3(ps) * (1. + 8. * mr1 / 3.) / 320.;
     if (id1Abs < 9) widNow *= colQ;
      
  // Widths to gluon and photon pair.
  } else if (id1Abs == 21) {
    widNow = preFac / 20.;
  } else if (id1Abs == 22) {
    widNow = preFac / 160.;
     
  // Widths to Z0 Z0 and W+ W- pair.
  } else if (id1Abs == 23 || id1Abs == 24) {
    // Longitudinal W/Z only.
    if (eDvlvl) {
      widNow = preFac * pow(ps,5) / 480.;
    // Transverse W/Z contributions as well.
    } else {
      widNow  = preFac * ps * (13. / 12. + 14. * mr1 / 3. + 4. * mr1 * mr1)
              / 80.;
    }
    if (id1Abs == 23) widNow *= 0.5;

  // Widths to h h pair.
  } else if (id1Abs == 25) {
    widNow = preFac * pow(ps,5) / 960.;
  }

  // RS graviton coupling
  if (eDsmbulk) widNow *= 2. * pow2(eDcoupling[min( id1Abs, 26)] * mHat);
  else          widNow *= pow2(kappaMG * mHat / mRes);

}

//==========================================================================

// The ResonanceKKgluon class.
// Derived class for excited kk-gluon properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceKKgluon::initConstants() {

  // KK-gluon gv/ga couplings and interference.
  for (int i = 0; i < 10; ++i) { eDgv[i] = 0.; eDga[i] = 0.; }
  double tmp_gL = settingsPtr->parm("ExtraDimensionsG*:KKgqL");
  double tmp_gR = settingsPtr->parm("ExtraDimensionsG*:KKgqR");
  for (int i = 1; i <= 4; ++i) {
    eDgv[i] = 0.5 * (tmp_gL + tmp_gR);
    eDga[i] = 0.5 * (tmp_gL - tmp_gR);
  }
  tmp_gL = settingsPtr->parm("ExtraDimensionsG*:KKgbL");
  tmp_gR = settingsPtr->parm("ExtraDimensionsG*:KKgbR");
  eDgv[5] = 0.5 * (tmp_gL + tmp_gR); eDga[5] = 0.5 * (tmp_gL - tmp_gR);
  tmp_gL = settingsPtr->parm("ExtraDimensionsG*:KKgtL");
  tmp_gR = settingsPtr->parm("ExtraDimensionsG*:KKgtR");
  eDgv[6] = 0.5 * (tmp_gL + tmp_gR); eDga[6] = 0.5 * (tmp_gL - tmp_gR);
  interfMode    = settingsPtr->mode("ExtraDimensionsG*:KKintMode");

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceKKgluon::calcPreFac(bool calledFromInit) {

  // Common coupling factors.
  alpS          = couplingsPtr->alphaS(mHat * mHat);
  preFac        = alpS * mHat / 6;

  // When call for incoming flavour need to consider g*/gKK mix.
  if (!calledFromInit) {
    // Calculate prefactors for g/interference/gKK terms.
    int idInFlavAbs = abs(idInFlav);
    double sH = mHat * mHat;
    normSM   = 1;
    normInt  = 2. * eDgv[min(idInFlavAbs, 9)] * sH * (sH - m2Res)
              / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
    normKK   = ( pow2(eDgv[min(idInFlavAbs, 9)])
               + pow2(eDga[min(idInFlavAbs, 9)]) ) * sH * sH
              / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

    // Optionally only keep g* or gKK term.
    if (interfMode == 1) {normInt = 0.; normKK = 0.;}
    if (interfMode == 2) {normSM = 0.; normInt = 0.; normKK = 1.;}
  }

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceKKgluon::calcWidth(bool calledFromInit) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Widths to quark pairs.
  if (id1Abs > 9) return;

  if (calledFromInit) {
    widNow = preFac * ps * (pow2(eDgv[min(id1Abs, 9)]) * (1. + 2.*mr1)
                         +  pow2(eDga[min(id1Abs, 9)]) * (1. - 4.*mr1) );
  } else {
    // Relative outwidths: combine instate, propagator and outstate.
    widNow = normSM  * ps * (1. + 2. * mr1)
           + normInt * ps * eDgv[min(id1Abs, 9)] * (1. + 2. * mr1)
           + normKK  * ps * (pow2(eDgv[min(id1Abs, 9)]) * (1. + 2.*mr1)
                          +  pow2(eDga[min(id1Abs, 9)]) * (1. - 4.*mr1) );
    widNow *= preFac;
  }

}

//==========================================================================

// The ResonanceLeptoquark class.
// Derived class for leptoquark properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceLeptoquark::initConstants() {

  // Locally stored properties and couplings.
  kCoup      = settingsPtr->parm("LeptoQuark:kCoup");

  // Check that flavour info in decay channel is correctly set.
  int id1Now = particlePtr->channel(0).product(0);
  int id2Now = particlePtr->channel(0).product(1);
  if (id1Now < 1 || id1Now > 6) {
    infoPtr->errorMsg("Error in ResonanceLeptoquark::init:"
      " unallowed input quark flavour reset to u");
    id1Now   = 2;
    particlePtr->channel(0).product(0, id1Now);
  }
  if (abs(id2Now) < 11 || abs(id2Now) > 16) {
    infoPtr->errorMsg("Error in ResonanceLeptoquark::init:"
      " unallowed input lepton flavour reset to e-");
    id2Now   = 11;
    particlePtr->channel(0).product(1, id2Now);
  }

  // Set/overwrite charge and name of particle.
  bool changed  = particlePtr->hasChanged();
  int chargeLQ  = particleDataPtr->chargeType(id1Now)
                + particleDataPtr->chargeType(id2Now);
  particlePtr->setChargeType(chargeLQ);
  string nameLQ = "LQ_" + particleDataPtr->name(id1Now) + ","
                + particleDataPtr->name(id2Now);
  particlePtr->setNames(nameLQ, nameLQ + "bar");
  if (!changed) particlePtr->setHasChanged(false);

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceLeptoquark::calcPreFac(bool) {

  // Common coupling factors.
  alpEM         = couplingsPtr->alphaEM(mHat * mHat);
  preFac        = 0.25 * alpEM * kCoup * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceLeptoquark::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;
  
  // Width into lepton plus quark.
  if (id1Abs > 10 && id1Abs < 17 && id2Abs < 7) widNow = preFac * pow3(ps);

}
 
//==========================================================================

// The ResonanceNuRight class.
// Derived class for righthanded Majorana neutrino properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceNuRight::initConstants() {

  // Locally stored properties and couplings: righthanded W mass.
  thetaWRat = 1. / (768. * M_PI * pow2(couplingsPtr->sin2thetaW()));
  mWR       = particleDataPtr->m0(9900024);

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceNuRight::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = pow2(alpEM) * thetaWRat * pow5(mHat) / pow4(max(mHat, mWR));

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceNuRight::calcWidth(bool) {

  // Check that above threshold.
  if (mHat < mf1 + mf2 + mf3 + MASSMARGIN) return;

  // Coupling part of widths to l- q qbar', l- l'+ nu_lR' and c.c.
  widNow    = (id2Abs < 9 && id3Abs < 9)
            ? preFac * colQ * couplingsPtr->V2CKMid(id2, id3) : preFac;

  // Phase space corrections in decay. Must have y < 1.
  double x  = (mf1 + mf2 + mf3) / mHat;
  double x2 = x * x;
  double fx = 1. - 8. * x2 + 8. * pow3(x2) - pow4(x2)
            - 24. * pow2(x2) * log(x);
  double y  = min( 0.999, pow2(mHat / mWR) );
  double fy = ( 12. * (1. - y) * log(1. - y) + 12. * y - 6. * y*y
            - 2.* pow3(y) ) / pow4(y);
  widNow   *= fx * fy;

}
 
//==========================================================================

// The ResonanceZRight class.
// Derived class for Z_R^0 properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceZRight::initConstants() {

  // Locally stored properties and couplings: righthanded W mass.
  sin2tW    = couplingsPtr->sin2thetaW();
  thetaWRat = 1. / (48. * sin2tW  * (1. - sin2tW) * (1. - 2. * sin2tW) );

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceZRight::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = alpEM * thetaWRat * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceZRight::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Couplings to q qbar and l+ l-.
  double vf = 0.;
  double af = 0.;
  double symMaj = 1.;
  if (id1Abs < 9 && id1Abs%2 == 1) {
    af      = -1. + 2. * sin2tW;
    vf      = -1. + 4. * sin2tW / 3.;
  } else if (id1Abs < 9) {
    af      = 1. - 2. * sin2tW;
    vf      = 1. - 8. * sin2tW / 3.;
  } else if (id1Abs < 19 && id1Abs%2 == 1) {
    af      = -1. + 2. * sin2tW;
    vf      = -1. + 4. * sin2tW;
       
  // Couplings to nu_L nu_Lbar and nu_R nu_Rbar, both assumed Majoranas.
  } else if (id1Abs < 19) {
    af      = -2. * sin2tW;
    vf      = 0.;
    symMaj  = 0.5;
  } else {
    af      = 2. * (1. - sin2tW);
    vf      = 0.;
    symMaj  = 0.5;
  }

  // Width expression, including phase space and colour factor.
  widNow    = preFac * (vf*vf * (1. + 2. * mr1) + af*af * ps*ps) * ps
            * symMaj;
  if (id1Abs < 9) widNow *= colQ;

}
 
//==========================================================================

// The ResonanceWRight class.
// Derived class for W_R+- properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceWRight::initConstants() {

  // Locally stored properties and couplings.
  thetaWRat     = 1. / (12. * couplingsPtr->sin2thetaW());

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceWRight::calcPreFac(bool) {

  // Common coupling factors.
  alpEM     = couplingsPtr->alphaEM(mHat * mHat);
  alpS      = couplingsPtr->alphaS(mHat * mHat);
  colQ      = 3. * (1. + alpS / M_PI);
  preFac    = alpEM * thetaWRat * mHat;

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceWRight::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // Combine kinematics with colour factor and CKM couplings.
  widNow    = preFac * (1. - 0.5 * (mr1 + mr2) - 0.5 * pow2(mr1 - mr2))
            * ps;
  if (id1Abs < 9) widNow *= colQ * couplingsPtr->V2CKMid(id1Abs, id2Abs);

}
 
//==========================================================================

// The ResonanceHchgchgLeft class.
// Derived class for H++/H-- (left) properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceHchgchgLeft::initConstants() {

  // Read in Yukawa matrix for couplings to a lepton pair.
  yukawa[1][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHee");
  yukawa[2][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHmue");
  yukawa[2][2]  = settingsPtr->parm("LeftRightSymmmetry:coupHmumu");
  yukawa[3][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaue");
  yukawa[3][2]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaumu");
  yukawa[3][3]  = settingsPtr->parm("LeftRightSymmmetry:coupHtautau");
  
  // Locally stored properties and couplings.
  gL            = settingsPtr->parm("LeftRightSymmmetry:gL");
  vL            = settingsPtr->parm("LeftRightSymmmetry:vL");
  mW            = particleDataPtr->m0(24);

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceHchgchgLeft::calcPreFac(bool) {

  // Common coupling factors.
  preFac        = mHat / (8. * M_PI);

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceHchgchgLeft::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // H++-- width to a pair of leptons. Combinatorial factor of 2.
  if (id1Abs < 17 && id2Abs < 17) {
    widNow    = preFac * pow2(yukawa[(id1Abs-9)/2][(id2Abs-9)/2]) * ps;
    if (id2Abs != id1Abs) widNow *= 2.;
  }
      
  // H++-- width to a pair of lefthanded W's.
  else if (id1Abs == 24 && id2Abs == 24)
    widNow    = preFac * 0.5 * pow2(gL*gL * vL / mW)
              * (3. * mr1 + 0.25 / mr1 - 1.) * ps;

}
 
//==========================================================================

// The ResonanceHchgchgRight class.
// Derived class for H++/H-- (right) properties.

//--------------------------------------------------------------------------

// Initialize constants.

void ResonanceHchgchgRight::initConstants() {

  // Read in Yukawa matrix for couplings to a lepton pair.
  yukawa[1][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHee");
  yukawa[2][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHmue");
  yukawa[2][2]  = settingsPtr->parm("LeftRightSymmmetry:coupHmumu");
  yukawa[3][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaue");
  yukawa[3][2]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaumu");
  yukawa[3][3]  = settingsPtr->parm("LeftRightSymmmetry:coupHtautau");
  
  // Locally stored properties and couplings.
  idWR          = 9000024;
  gR            = settingsPtr->parm("LeftRightSymmmetry:gR");

}

//--------------------------------------------------------------------------

// Calculate various common prefactors for the current mass.

void ResonanceHchgchgRight::calcPreFac(bool) {

  // Common coupling factors.
  preFac        = mHat / (8. * M_PI);

}

//--------------------------------------------------------------------------

// Calculate width for currently considered channel.

void ResonanceHchgchgRight::calcWidth(bool) {

  // Check that above threshold.
  if (ps == 0.) return;

  // H++-- width to a pair of leptons. Combinatorial factor of 2.
  if (id1Abs < 17 && id2Abs < 17) {
    widNow    = preFac * pow2(yukawa[(id1Abs-9)/2][(id2Abs-9)/2]) * ps;
    if (id2Abs != id1Abs) widNow *= 2.;
  }
      
  // H++-- width to a pair of lefthanded W's.
  else if (id1Abs == idWR && id2Abs == idWR)
    widNow    = preFac * pow2(yukawa[(id1Abs-9)/2][(id2Abs-9)/2]) * ps;

}

//==========================================================================
 
} // end namespace Pythia8
pythia8-8.1.86.orig/src/Pythia.cc0000644000175000017500000022136612357054762014720 0ustar  sunsun// Pythia.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the Pythia class.

#include "Pythia8/Pythia.h"

// Access time information.
#include 

// Allow string and character manipulation.
#include 

namespace Pythia8 {

//==========================================================================

// The Pythia class.

//--------------------------------------------------------------------------

// The current Pythia (sub)version number, to agree with XML version.
const double Pythia::VERSIONNUMBERCODE = 8.186;

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maximum number of tries to produce parton level from given input.
const int Pythia::NTRY          = 10;

// Negative integer to denote that no subrun has been set.
const int Pythia::SUBRUNDEFAULT = -999;

//--------------------------------------------------------------------------
  
// Constructor.

Pythia::Pythia(string xmlDir, bool printBanner) {
    
  // Initial values for pointers to PDF's.
  useNewPdfA      = false;
  useNewPdfB      = false;
  useNewPdfHard   = false;
  useNewPdfPomA   = false;
  useNewPdfPomB   = false;
  pdfAPtr         = 0;
  pdfBPtr         = 0;
  pdfHardAPtr     = 0;
  pdfHardBPtr     = 0;
  pdfPomAPtr      = 0;
  pdfPomBPtr      = 0;

  // Initial values for pointers to Les Houches Event objects.
  doLHA           = false;
  useNewLHA       = false;
  lhaUpPtr        = 0;

  //Initial value for couplings pointer
  couplingsPtr    = &couplings;

  // Initial value for pointer to external decay handler.
  decayHandlePtr  = 0;

  // Initial value for pointer to user hooks.
  userHooksPtr    = 0;

  // Initial value for pointer to merging hooks.
  doMerging          = false;
  hasMergingHooks    = false;
  hasOwnMergingHooks = false;
  mergingHooksPtr    = 0;

  // Initial value for pointer to beam shape.
  useNewBeamShape = false;
  beamShapePtr    = 0;

  // Initial values for pointers to timelike and spacelike showers.
  useNewTimes     = false;
  useNewSpace     = false;
  timesDecPtr     = 0;
  timesPtr        = 0;
  spacePtr        = 0;

  // Find path to data files, i.e. xmldoc directory location.
  // Environment variable takes precedence, else use constructor input.
  xmlPath     = "";
  const char* PYTHIA8DATA = "PYTHIA8DATA";
  char* envPath = getenv(PYTHIA8DATA);
  if (envPath != 0 && *envPath != '\0') {
    int i = 0;
    while (*(envPath+i) != '\0') xmlPath += *(envPath+(i++));
  }
  else xmlPath = xmlDir;
  if (xmlPath[ xmlPath.length() - 1 ] != '/') xmlPath += "/";

  // Read in files with all flags, modes, parms and words.
  settings.initPtr( &info);
  string initFile = xmlPath + "Index.xml";
  isConstructed = settings.init( initFile);
  if (!isConstructed) {
    info.errorMsg("Abort from Pythia::Pythia: settings unavailable");
    return;
  }

  // Check that XML version number matches code version number.
  double versionNumberXML = parm("Pythia:versionNumber");
  isConstructed = (abs(versionNumberXML - VERSIONNUMBERCODE) < 0.0005);
  if (!isConstructed) {
    ostringstream errCode;
    errCode << fixed << setprecision(3) << ": in code " << VERSIONNUMBERCODE
            << " but in XML " << versionNumberXML;
    info.errorMsg("Abort from Pythia::Pythia: unmatched version numbers",
      errCode.str());
    return;
  }

  // Read in files with all particle data.
  particleData.initPtr( &info, &settings, &rndm, couplingsPtr);
  string dataFile = xmlPath + "ParticleData.xml";
  isConstructed = particleData.init( dataFile);
  if (!isConstructed) {
    info.errorMsg("Abort from Pythia::Pythia: particle data unavailable");
    return;
  }

  // Write the Pythia banner to output.
  if (printBanner) banner();

  // Not initialized until at the end of the init() call.
  isInit = false;
  info.addCounter(0);
 
}

//--------------------------------------------------------------------------
  
// Destructor.

Pythia::~Pythia() {

  // Delete the PDF's created with new.
  if (useNewPdfHard && pdfHardAPtr != pdfAPtr) delete pdfHardAPtr;
  if (useNewPdfHard && pdfHardBPtr != pdfBPtr) delete pdfHardBPtr;
  if (useNewPdfA) delete pdfAPtr;
  if (useNewPdfB) delete pdfBPtr;
  if (useNewPdfPomA) delete pdfPomAPtr;
  if (useNewPdfPomB) delete pdfPomBPtr;

  // Delete the Les Houches object created with new.
  if (useNewLHA) delete lhaUpPtr;

  // Delete the MergingHooks object created with new.
  if (hasOwnMergingHooks) delete mergingHooksPtr;

  // Delete the BeamShape object created with new.
  if (useNewBeamShape) delete beamShapePtr;

  // Delete the timelike and spacelike showers created with new.
  if (useNewTimes) delete timesPtr;
  if (useNewSpace) delete spacePtr;

}

//--------------------------------------------------------------------------

// Read in one update for a setting or particle data from a single line.

bool Pythia::readString(string line, bool warn) {

  // Check that constructor worked.
  if (!isConstructed) return false;

  // If empty line then done.
  if (line.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos) return true;

  // If first character is not a letter/digit, then taken to be a comment.
  int firstChar = line.find_first_not_of(" \n\t\v\b\r\f\a");
  if (!isalnum(line[firstChar])) return true;

  // Send on particle data to the ParticleData database.
  if (isdigit(line[firstChar]))
    return particleData.readString(line, warn);

  // Everything else sent on to Settings.
  return settings.readString(line, warn);

}

//--------------------------------------------------------------------------

// Read in updates for settings or particle data from user-defined file.

bool Pythia::readFile(string fileName, bool warn, int subrun) {

  // Check that constructor worked.
  if (!isConstructed) return false;

  // Open file for reading.
  const char* cstring = fileName.c_str();
  ifstream is(cstring);
  if (!is.good()) {
    info.errorMsg("Error in Pythia::readFile: did not find file", fileName);
    return false;
  }

  // Hand over real work to next method.
  return readFile( is, warn, subrun);

}

//--------------------------------------------------------------------------

// Read in updates for settings or particle data
// from user-defined stream (or file).

bool Pythia::readFile(istream& is, bool warn, int subrun) {

  // Check that constructor worked.
  if (!isConstructed) return false;

  // Read in one line at a time.
  string line;
  bool isCommented = false;
  bool accepted = true;
  int subrunNow = SUBRUNDEFAULT;
  while ( getline(is, line) ) {

    // Check whether entering, leaving or inside commented-commands section.
    int commentLine = readCommented( line);
    if      (commentLine == +1)  isCommented = true;
    else if (commentLine == -1)  isCommented = false;
    else if (isCommented) ;
   
    else {
      // Check whether entered new subrun.
      int subrunLine = readSubrun( line, warn);
      if (subrunLine >= 0) subrunNow = subrunLine;

      // Process the line if in correct subrun.
      if ( (subrunNow == subrun || subrunNow == SUBRUNDEFAULT)
         && !readString( line, warn) ) accepted = false;
    }

  // Reached end of input file.
  };
  return accepted;

}

//--------------------------------------------------------------------------

// Routine to pass in pointers to PDF's. Usage optional.

bool Pythia::setPDFPtr( PDF* pdfAPtrIn, PDF* pdfBPtrIn, PDF* pdfHardAPtrIn,
  PDF* pdfHardBPtrIn, PDF* pdfPomAPtrIn, PDF* pdfPomBPtrIn) {

  // Delete any PDF's created in a previous init call.
  if (useNewPdfHard && pdfHardAPtr != pdfAPtr) delete pdfHardAPtr;
  if (useNewPdfHard && pdfHardBPtr != pdfBPtr) delete pdfHardBPtr;
  if (useNewPdfA) delete pdfAPtr;
  if (useNewPdfB) delete pdfBPtr;
  if (useNewPdfPomA) delete pdfPomAPtr;
  if (useNewPdfPomB) delete pdfPomBPtr;

  // Reset pointers to be empty.
  useNewPdfA    = false;
  useNewPdfB    = false;
  useNewPdfHard = false;
  useNewPdfPomA = false;
  useNewPdfPomB = false;
  pdfAPtr       = 0;
  pdfBPtr       = 0;
  pdfHardAPtr   = 0;
  pdfHardBPtr   = 0;
  pdfPomAPtr    = 0;
  pdfPomBPtr    = 0;

  // Switch off external PDF's by zero as input.
  if (pdfAPtrIn == 0 && pdfBPtrIn == 0) return true;

  // The two PDF objects cannot be one and the same.
  if (pdfAPtrIn == pdfBPtrIn) return false;

  // Save pointers.
  pdfAPtr       = pdfAPtrIn;
  pdfBPtr       = pdfBPtrIn;

  // By default same pointers for hard-process PDF's.
  pdfHardAPtr   = pdfAPtrIn;
  pdfHardBPtr   = pdfBPtrIn;
  
  // Optionally allow separate pointers for hard process.
  if (pdfHardAPtrIn != 0 && pdfHardBPtrIn != 0) {
    if (pdfHardAPtrIn == pdfHardBPtrIn) return false;
    pdfHardAPtr = pdfHardAPtrIn;
    pdfHardBPtr = pdfHardBPtrIn;
  }
  
  // Optionally allow pointers for Pomerons in the proton.
  if (pdfPomAPtrIn != 0 && pdfPomBPtrIn != 0) {
    if (pdfPomAPtrIn == pdfPomBPtrIn) return false;
    pdfPomAPtr  = pdfPomAPtrIn;
    pdfPomBPtr  = pdfPomBPtrIn;
  }
  
  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Routine to initialize with the variable values of the Beams kind.

bool Pythia::init() {

  // Check that constructor worked.
  isInit = false;
  if (!isConstructed) {
    info.errorMsg("Abort from Pythia::init: constructor "
      "initialization failed");
    return false;
  }

  // Early readout, if return false or changed when no beams.
  doProcessLevel = settings.flag("ProcessLevel:all");

  // Check that changes in Settings and ParticleData have worked.
  if (settings.readingFailed()) {
    info.errorMsg("Abort from Pythia::init: some user settings "
      "did not make sense");
    return false;
  }
  if (particleData.readingFailed()) {
    info.errorMsg("Abort from Pythia::init: some user particle data "
      "did not make sense");
    return false;
  }

  // Begin initialization. Find which frame type to use.
  info.addCounter(1);
  frameType = mode("Beams:frameType");

  // Initialization with internal processes: read in and set values.
  if (frameType < 4 ) {
    doLHA     = false;
    boostType = frameType;
    idA       = mode("Beams:idA");
    idB       = mode("Beams:idB");
    eCM       = parm("Beams:eCM");
    eA        = parm("Beams:eA");
    eB        = parm("Beams:eB");
    pxA       = parm("Beams:pxA");
    pyA       = parm("Beams:pyA");
    pzA       = parm("Beams:pzA");
    pxB       = parm("Beams:pxB");
    pyB       = parm("Beams:pyB");
    pzB       = parm("Beams:pzB");
  
   // Initialization with a Les Houches Event File or an LHAup object.
  } else {
    doLHA     = true;
    boostType = 2;
    string lhef        = word("Beams:LHEF");
    string lhefHeader  = word("Beams:LHEFheader");
    bool   readHeaders = flag("Beams:readLHEFheaders");
    bool   skipInit    = flag("Beams:newLHEFsameInit");
    int    nSkipAtInit = mode("Beams:nSkipLHEFatInit");

    // For file input: renew file stream or (re)new Les Houches object.
    if (frameType == 4) {
      const char* cstring1 = lhef.c_str();
      if (useNewLHA && skipInit) lhaUpPtr->newEventFile(cstring1);
      else {
        if (useNewLHA) delete lhaUpPtr;
        // Header is optional, so use NULL pointer to indicate no value.
        const char* cstring2 = (lhefHeader == "void") ?
                               NULL : lhefHeader.c_str();
        lhaUpPtr   = new LHAupLHEF(cstring1, cstring2, readHeaders);
        useNewLHA  = true;
      }

      // Check that file was properly opened.
      if (!lhaUpPtr->fileFound()) {
        info.errorMsg("Abort from Pythia::init: "
          "Les Houches Event File not found");
        return false;
      }

    // For object input: at least check that not null pointer.
    } else {
      if (lhaUpPtr == 0) {
        info.errorMsg("Abort from Pythia::init: "
          "LHAup object not found");
        return false;
      }

      // LHAup object generic abort using fileFound() routine.
      if (!lhaUpPtr->fileFound()) {
        info.errorMsg("Abort from Pythia::init: "
          "LHAup initialisation error");
        return false;
      }
    }

    // Send in pointer to info. Store or replace LHA pointer in other classes.
    lhaUpPtr->setPtr( &info);
    processLevel.setLHAPtr( lhaUpPtr);

    // If second time around, only with new file, then simplify.
    // Optionally skip ahead a number of events at beginning of file.
    if (skipInit) {
      isInit = true;
      info.addCounter(2);
      if (nSkipAtInit > 0) lhaUpPtr->skipEvent(nSkipAtInit);
      return true;
    }

    // Set up values related to merging hooks.
    if (frameType == 4 || frameType == 5) {

      // Set up values related to CKKW-L merging.
      bool doUserMerging     = settings.flag("Merging:doUserMerging");
      bool doMGMerging       = settings.flag("Merging:doMGMerging");
      bool doKTMerging       = settings.flag("Merging:doKTMerging");
      bool doPTLundMerging   = settings.flag("Merging:doPTLundMerging");
      bool doCutBasedMerging = settings.flag("Merging:doCutBasedMerging");
      // Set up values related to unitarised CKKW merging
      bool doUMEPSTree       = settings.flag("Merging:doUMEPSTree");
      bool doUMEPSSubt       = settings.flag("Merging:doUMEPSSubt");
      // Set up values related to NL3 NLO merging
      bool doNL3Tree         = settings.flag("Merging:doNL3Tree");
      bool doNL3Loop         = settings.flag("Merging:doNL3Loop");
      bool doNL3Subt         = settings.flag("Merging:doNL3Subt");
      // Set up values related to unitarised NLO merging
      bool doUNLOPSTree      = settings.flag("Merging:doUNLOPSTree");
      bool doUNLOPSLoop      = settings.flag("Merging:doUNLOPSLoop");
      bool doUNLOPSSubt      = settings.flag("Merging:doUNLOPSSubt");
      bool doUNLOPSSubtNLO   = settings.flag("Merging:doUNLOPSSubtNLO");
      bool doXSectionEst     = settings.flag("Merging:doXSectionEstimate");
      doMerging = doUserMerging || doMGMerging || doKTMerging
        || doPTLundMerging || doCutBasedMerging || doUMEPSTree || doUMEPSSubt
        || doNL3Tree || doNL3Loop || doNL3Subt || doUNLOPSTree
        || doUNLOPSLoop || doUNLOPSSubt || doUNLOPSSubtNLO || doXSectionEst;

      // Set up MergingHooks object.
      bool inputMergingHooks = (mergingHooksPtr != 0);
      if (doMerging && !inputMergingHooks){
        if (hasOwnMergingHooks && mergingHooksPtr) delete mergingHooksPtr;
        mergingHooksPtr = new MergingHooks();
        hasOwnMergingHooks = true;
      }

      hasMergingHooks  = (mergingHooksPtr != 0);
      // Merging hooks required for merging. If no merging hooks pointer is
      // available, exit.
      if (doMerging && !hasMergingHooks) {
        info.errorMsg("Abort from Pythia::init: "
          "no merging hooks object has been provided");
        return false;
      } else if (doMerging) {
        string lhefIn = (frameType == 4) ? lhef : "";
        mergingHooksPtr->setLHEInputFile( lhefIn);
      }
      // Initialise counting of Les Houches Events significantly above the
      // merging scale.
      info.setCounter(41,0);
    }

    // Set LHAinit information (in some external program).
    if ( !lhaUpPtr->setInit()) {
      info.errorMsg("Abort from Pythia::init: "
        "Les Houches initialization failed");
      return false;
    }

    // Extract beams from values set in an LHAinit object.
    idA = lhaUpPtr->idBeamA();
    idB = lhaUpPtr->idBeamB();
    int idRenameBeams = settings.mode("LesHouches:idRenameBeams");
    if (abs(idA) == idRenameBeams) idA = 16;
    if (abs(idB) == idRenameBeams) idB = -16;
    if (idA == 0 || idB == 0) doProcessLevel = false;
    eA  = lhaUpPtr->eBeamA();
    eB  = lhaUpPtr->eBeamB();

    // Optionally skip ahead a number of events at beginning of file.
    if (nSkipAtInit > 0) lhaUpPtr->skipEvent(nSkipAtInit);
  }

  // Set up values related to user hooks.
  hasUserHooks     = (userHooksPtr != 0);
  doVetoProcess    = false;
  doVetoPartons    = false;
  retryPartonLevel = false;
  if (hasUserHooks) {
    userHooksPtr->initPtr( &info, &settings, &particleData, &rndm, &beamA,
      &beamB, &beamPomA, &beamPomB, couplingsPtr, &partonSystems, &sigmaTot);
    if (!userHooksPtr->initAfterBeams()) {
      info.errorMsg("Abort from Pythia::init: could not initialise UserHooks");
      return false;
    }
    doVetoProcess    = userHooksPtr->canVetoProcessLevel();
    doVetoPartons    = userHooksPtr->canVetoPartonLevel();
    retryPartonLevel = userHooksPtr->retryPartonLevel();
  }

  // Back to common initialization. Reset error counters.
  nErrEvent = 0;
  info.setTooLowPTmin(false);
  info.sigmaReset();

  // Initialize data members extracted from database.
  doPartonLevel    = settings.flag("PartonLevel:all");
  doHadronLevel    = settings.flag("HadronLevel:all");
  doDiffraction    = settings.flag("SoftQCD:all")
                  || settings.flag("SoftQCD:singleDiffractive")
                  || settings.flag("SoftQCD:doubleDiffractive")
                  || settings.flag("SoftQCD:centralDiffractive")
                  || settings.flag("SoftQCD:inelastic");
  doResDec         = settings.flag("ProcessLevel:resonanceDecays");
  doFSRinRes       = doPartonLevel && settings.flag("PartonLevel:FSR")
                  && settings.flag("PartonLevel:FSRinResonances");
  decayRHadrons    = settings.flag("RHadrons:allowDecay");
  doMomentumSpread = settings.flag("Beams:allowMomentumSpread");
  doVertexSpread   = settings.flag("Beams:allowVertexSpread");
  abortIfVeto      = settings.flag("Check:abortIfVeto");
  checkEvent       = settings.flag("Check:event");
  checkHistory     = settings.flag("Check:history");
  nErrList         = settings.mode("Check:nErrList");
  epTolErr         = settings.parm("Check:epTolErr");
  epTolWarn        = settings.parm("Check:epTolWarn");

  // Initialise merging hooks.
  if ( doMerging && (hasMergingHooks || hasOwnMergingHooks) )
    mergingHooksPtr->init( settings, &info, &particleData, &partonSystems );

  // Initialize the random number generator.
  if ( settings.flag("Random:setSeed") )
    rndm.init( settings.mode("Random:seed") );

  // Check that combinations of settings are allowed; change if not.
  checkSettings();

  // Initialize the SM couplings (needed to initialize resonances).
  couplingsPtr->init( settings, &rndm );

  // Initialize SLHA interface (including SLHA/BSM couplings).
  bool useSLHAcouplings = false;
  slhaInterface.setPtr( &info );
  slhaInterface.init( settings, &rndm, couplingsPtr, &particleData,
                      useSLHAcouplings );
  if (useSLHAcouplings) couplingsPtr = slhaInterface.couplingsPtr;

  // Reset couplingsPtr to the correct memory address.
  particleData.initPtr( &info, &settings, &rndm, couplingsPtr);
  if (hasUserHooks) userHooksPtr->initPtr( &info, &settings, &particleData,
    &rndm, &beamA, &beamB, &beamPomA, &beamPomB, couplingsPtr,
    &partonSystems, &sigmaTot);

  // Set headers to distinguish the two event listing kinds.
  int startColTag = settings.mode("Event:startColTag");
  process.init("(hard process)", &particleData, startColTag);
  event.init("(complete event)", &particleData, startColTag);

  // Final setup stage of particle data, notably resonance widths.
  particleData.initWidths( resonancePtrs);

  // Set up R-hadrons particle data, where relevant.
  rHadrons.init( &info, settings, &particleData, &rndm);

  // Set up objects for timelike and spacelike showers.
  if (timesDecPtr == 0 || timesPtr == 0) {
    TimeShower* timesNow = new TimeShower();
    if (timesDecPtr == 0) timesDecPtr = timesNow;
    if (timesPtr == 0) timesPtr = timesNow;
    useNewTimes = true;
  }
  if (spacePtr == 0) {
    spacePtr    = new SpaceShower();
    useNewSpace = true;
  }

  // Initialize showers, especially for simple showers in decays.
  timesPtr->initPtr( &info, &settings, &particleData, &rndm, couplingsPtr,
    &partonSystems, userHooksPtr, mergingHooksPtr);
  timesDecPtr->initPtr( &info, &settings, &particleData, &rndm, couplingsPtr,
    &partonSystems, userHooksPtr, mergingHooksPtr);
  spacePtr->initPtr( &info, &settings, &particleData, &rndm, couplingsPtr,
    &partonSystems, userHooksPtr, mergingHooksPtr);
  timesDecPtr->init( 0, 0);

  // Set up values related to beam shape.
  if (beamShapePtr == 0) {
    beamShapePtr    = new BeamShape();
    useNewBeamShape = true;
  }
  beamShapePtr->init( settings, &rndm);

  // Check that beams and beam combination can be handled.
  if (!checkBeams()) {
    info.errorMsg("Abort from Pythia::init: "
      "checkBeams initialization failed");
    return false;
  }

  // Do not set up beam kinematics when no process level.
  if (!doProcessLevel) boostType = 1;
  else {
    
    // Set up beam kinematics.
    if (!initKinematics()) {
      info.errorMsg("Abort from Pythia::init: "
        "kinematics initialization failed");
      return false;
    }

    // Set up pointers to PDFs.
    if (!initPDFs()) {
      info.errorMsg("Abort from Pythia::init: PDF initialization failed");
      return false;
    }
  
    // Set up the two beams and the common remnant system.
    StringFlav* flavSelPtr = hadronLevel.getStringFlavPtr();
    beamA.init( idA, pzAcm, eA, mA, &info, settings, &particleData, &rndm,
      pdfAPtr, pdfHardAPtr, isUnresolvedA, flavSelPtr);
    beamB.init( idB, pzBcm, eB, mB, &info, settings, &particleData, &rndm,
      pdfBPtr, pdfHardBPtr, isUnresolvedB, flavSelPtr);

    // Optionally set up new alternative beams for these Pomerons.
    if ( doDiffraction) {
      beamPomA.init( 990,  0.5 * eCM, 0.5 * eCM, 0., &info, settings,
        &particleData, &rndm, pdfPomAPtr, pdfPomAPtr, false, flavSelPtr);
      beamPomB.init( 990, -0.5 * eCM, 0.5 * eCM, 0., &info, settings,
        &particleData, &rndm, pdfPomBPtr, pdfPomBPtr, false, flavSelPtr);
    }
  }

  // Send info/pointers to process level for initialization.
  if ( doProcessLevel && !processLevel.init( &info, settings, &particleData,
    &rndm, &beamA, &beamB, couplingsPtr, &sigmaTot, doLHA, &slhaInterface,
    userHooksPtr, sigmaPtrs) ) {
    info.errorMsg("Abort from Pythia::init: "
      "processLevel initialization failed");
    return false;
  }

  // Alternatively only initialize resonance decays.
  if ( !doProcessLevel) processLevel.initDecays( &info, &particleData,
    &rndm, lhaUpPtr);

  // Send info/pointers to parton level for initialization.
  if ( doPartonLevel && doProcessLevel && !partonLevel.init( &info, settings,
    &particleData, &rndm, &beamA, &beamB, &beamPomA, &beamPomB, couplingsPtr,
    &partonSystems, &sigmaTot, timesDecPtr, timesPtr, spacePtr, &rHadrons,
    userHooksPtr, mergingHooksPtr, false) ) {
    info.errorMsg("Abort from Pythia::init: "
      "partonLevel initialization failed" );
    return false;
  }

  // Alternatively only initialize final-state showers in resonance decays.
  if ( !doProcessLevel || !doPartonLevel) partonLevel.init( &info, settings,
    &particleData, &rndm, 0, 0, 0, 0, couplingsPtr, &partonSystems, 0,
    timesDecPtr, 0, 0, &rHadrons, 0, 0, false);

  // Send info/pointers to parton level for trial shower initialization.
  if ( doMerging && !trialPartonLevel.init( &info, settings, &particleData,
      &rndm, &beamA, &beamB, &beamPomA, &beamPomB, couplingsPtr,
      &partonSystems, &sigmaTot, timesDecPtr, timesPtr, spacePtr, &rHadrons,
      NULL, mergingHooksPtr, true) ) {
    info.errorMsg("Abort from Pythia::init: "
      "trialPartonLevel initialization failed");
    return false;
  }

  // Initialise the merging wrapper class.
  if (doMerging ) merging.init( &settings, &info, &particleData, &rndm,
    &beamA, &beamB, mergingHooksPtr, &trialPartonLevel );

  // Send info/pointers to hadron level for initialization.
  // Note: forceHadronLevel() can come, so we must always initialize.
  if ( !hadronLevel.init( &info, settings, &particleData, &rndm,
    couplingsPtr, timesDecPtr, &rHadrons, decayHandlePtr,
    handledParticles) ) {
    info.errorMsg("Abort from Pythia::init: "
      "hadronLevel initialization failed");
    return false;
  }
   
  // Optionally check particle data table for inconsistencies.
  if ( settings.flag("Check:particleData") )
    particleData.checkTable( settings.mode("Check:levelParticleData") );

  // Optionally show settings and particle data, changed or all.
  bool showCS  = settings.flag("Init:showChangedSettings");
  bool showAS  = settings.flag("Init:showAllSettings");
  bool showCPD = settings.flag("Init:showChangedParticleData");
  bool showCRD = settings.flag("Init:showChangedResonanceData");
  bool showAPD = settings.flag("Init:showAllParticleData");
  int  show1PD = settings.mode("Init:showOneParticleData");
  bool showPro = settings.flag("Init:showProcesses");
  if (showCS)      settings.listChanged();
  if (showAS)      settings.listAll();
  if (show1PD > 0) particleData.list(show1PD);
  if (showCPD)     particleData.listChanged(showCRD);
  if (showAPD)     particleData.listAll();

  // Listing options for the next() routine.
  nCount       = settings.mode("Next:numberCount");
  nShowLHA     = settings.mode("Next:numberShowLHA");
  nShowInfo    = settings.mode("Next:numberShowInfo");
  nShowProc    = settings.mode("Next:numberShowProcess");
  nShowEvt     = settings.mode("Next:numberShowEvent");
  showSaV      = settings.flag("Next:showScaleAndVertex");
  showMaD      = settings.flag("Next:showMothersAndDaughters");

  // Succeeded.
  isInit = true;
  info.addCounter(2);
  if (useNewLHA && showPro) lhaUpPtr->listInit();
  return true;

}

//--------------------------------------------------------------------------

// Routine to initialize with CM energy.

bool Pythia::init( int idAin, int idBin, double eCMin) {

  // Set arguments in Settings database.
  settings.mode("Beams:idA",  idAin);
  settings.mode("Beams:idB",  idBin);
  settings.mode("Beams:frameType",  1);
  settings.parm("Beams:eCM", eCMin);
  
  // Send on to common initialization.
  return init();

}

//--------------------------------------------------------------------------

// Routine to initialize with two collinear beams,  energies specified.

bool Pythia::init( int idAin, int idBin, double eAin, double eBin) {

  // Set arguments in Settings database.
  settings.mode("Beams:idA",  idAin);
  settings.mode("Beams:idB",  idBin);
  settings.mode("Beams:frameType",  2);
  settings.parm("Beams:eA",      eAin);
  settings.parm("Beams:eB",      eBin);
  
  // Send on to common initialization.
  return init();

}

//--------------------------------------------------------------------------

// Routine to initialize with two beams specified by three-momenta.

bool Pythia::init( int idAin, int idBin, double pxAin, double pyAin,
  double pzAin, double pxBin, double pyBin, double pzBin) {

  // Set arguments in Settings database.
  settings.mode("Beams:idA",  idAin);
  settings.mode("Beams:idB",  idBin);
  settings.mode("Beams:frameType",  3);
  settings.parm("Beams:pxA",    pxAin);
  settings.parm("Beams:pyA",    pyAin);
  settings.parm("Beams:pzA",    pzAin);
  settings.parm("Beams:pxB",    pxBin);
  settings.parm("Beams:pyB",    pyBin);
  settings.parm("Beams:pzB",    pzBin);
  
  // Send on to common initialization.
  return init();

}

//--------------------------------------------------------------------------

// Routine to initialize when all info is given in a Les Houches Event File.

bool Pythia::init( string LesHouchesEventFile, bool skipInit) {

  // Set arguments in Settings database.
  settings.mode("Beams:frameType",              4);
  settings.word("Beams:LHEF", LesHouchesEventFile);
  settings.flag("Beams:newLHEFsameInit", skipInit);
  
  // Send on to common initialization.
  return init();

}

//--------------------------------------------------------------------------

// Routine to initialize when beam info is given in an LHAup object.

bool Pythia::init( LHAup* lhaUpPtrIn) {

  // Store LHAup object and set arguments in Settings database.
  setLHAupPtr( lhaUpPtrIn);
  settings.mode("Beams:frameType", 5);
  string lhaFileName = lhaUpPtr->getFileName();
  if (lhaFileName != "void") settings.word("Beams:LHEF", lhaFileName);
  
  // Send on to common initialization.
  return init();

}

//--------------------------------------------------------------------------

// Check that combinations of settings are allowed; change if not.

void Pythia::checkSettings() {

  // Double rescattering not allowed if ISR or FSR.
  if ((settings.flag("PartonLevel:ISR") || settings.flag("PartonLevel:FSR"))
    && settings.flag("MultipartonInteractions:allowDoubleRescatter")) {
    info.errorMsg("Warning in Pythia::checkSettings: "
        "double rescattering switched off since showering is on");
    settings.flag("MultipartonInteractions:allowDoubleRescatter", false);
  }

}

//--------------------------------------------------------------------------

// Check that beams and beam combination can be handled. Set up unresolved.

bool Pythia::checkBeams() {

  // Absolute flavours. If not to do process level then no check needed.
  int idAabs = abs(idA);
  int idBabs = abs(idB);
  if (!doProcessLevel) return true;

  // Neutrino beams always unresolved, charged lepton ones conditionally.
  bool isLeptonA  = (idAabs > 10 && idAabs < 17);
  bool isLeptonB  = (idBabs > 10 && idBabs < 17);
  bool isUnresLep = !settings.flag("PDF:lepton");
  isUnresolvedA   = isLeptonA && (idAabs%2 == 0 || isUnresLep);
  isUnresolvedB   = isLeptonB && (idBabs%2 == 0 || isUnresLep);

  // Lepton-lepton collisions OK (including neutrinos) if both (un)resolved.
  if (isLeptonA && isLeptonB && isUnresolvedA == isUnresolvedB) return true;

  // MBR model only implemented for pp/ppbar/pbarp collisions.
  int PomFlux     = settings.mode("Diffraction:PomFlux");
  if (PomFlux == 5) {
    bool ispp       = (idAabs == 2212 && idBabs == 2212);
    bool ispbarpbar = (idA == -2212 && idB == -2212);
    if (ispp && !ispbarpbar) return true;
    info.errorMsg("Error in Pythia::init: cannot handle this beam combination"
      " with PomFlux == 5");
    return false;
  }

  // Hadron-hadron collisions OK, with Pomeron counted as hadron.
  bool isHadronA = (idAabs == 2212) || (idAabs == 2112) || (idA == 111)
                || (idAabs == 211)  || (idA == 990);
  bool isHadronB = (idBabs == 2212) || (idBabs == 2112) || (idB == 111)
                || (idBabs == 211)  || (idB == 990);
  if (isHadronA && isHadronB) return true;

  // If no case above then failed.
  info.errorMsg("Error in Pythia::init: cannot handle this beam combination");
  return false;

}

//--------------------------------------------------------------------------

// Calculate kinematics at initialization. Store beam four-momenta.

bool Pythia::initKinematics() {

  // Find masses. Initial guess that we are in CM frame.
  mA       = particleData.m0(idA);
  mB       = particleData.m0(idB);
  betaZ    = 0.;
  gammaZ   = 1.;

  // Collinear beams not in CM frame: find CM energy.
  if (boostType == 2) {
    eA     = max(eA, mA);
    eB     = max(eB, mB);
    pzA    = sqrt(eA*eA - mA*mA);
    pzB    = -sqrt(eB*eB - mB*mB);
    pAinit = Vec4( 0., 0., pzA, eA);
    pBinit = Vec4( 0., 0., pzB, eB);
    eCM    = sqrt( pow2(eA + eB) - pow2(pzA + pzB) );

    // Find boost to rest frame.
    betaZ  = (pzA + pzB) / (eA + eB);
    gammaZ = (eA + eB) / eCM;
    if (abs(betaZ) < 1e-10) boostType = 1;
  }

  // Completely general beam directions: find CM energy.
  else if (boostType == 3) {
    eA     = sqrt( pxA*pxA + pyA*pyA + pzA*pzA + mA*mA);
    eB     = sqrt( pxB*pxB + pyB*pyB + pzB*pzB + mB*mB);
    pAinit = Vec4( pxA, pyA, pzA, eA);
    pBinit = Vec4( pxB, pyB, pzB, eB);
    eCM = (pAinit + pBinit).mCalc();

    // Find boost+rotation needed to move from/to CM frame.
    MfromCM.reset();
    MfromCM.fromCMframe( pAinit, pBinit);
    MtoCM = MfromCM;
    MtoCM.invert();
  }
 
  // Fail if CM energy below beam masses.
  if (eCM < mA + mB) {
    info.errorMsg("Error in Pythia::initKinematics: too low energy");
    return false;
  }

  // Set up CM-frame kinematics with beams along +-z axis.
  pzAcm    = 0.5 * sqrtpos( (eCM + mA + mB) * (eCM - mA - mB)
           * (eCM - mA + mB) * (eCM + mA - mB) ) / eCM;
  pzBcm    = -pzAcm;
  eA       = sqrt(mA*mA + pzAcm*pzAcm);
  eB       = sqrt(mB*mB + pzBcm*pzBcm);

  // If in CM frame then store beam four-vectors (else already done above).
  if (boostType != 2 && boostType != 3) {
    pAinit = Vec4( 0., 0., pzAcm, eA);
    pBinit = Vec4( 0., 0., pzBcm, eB);
  }

  // Store main info for access in process generation.
  info.setBeamA( idA, pzAcm, eA, mA);
  info.setBeamB( idB, pzBcm, eB, mB);
  info.setECM( eCM);

  // Must allow for generic boost+rotation when beam momentum spread.
  if (doMomentumSpread) boostType = 3;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Set up pointers to PDFs.

bool Pythia::initPDFs() {

  // Delete any PDF's created in a previous init call.
  if (useNewPdfHard) {
    if (pdfHardAPtr != pdfAPtr) {
      delete pdfHardAPtr;
      pdfHardAPtr = 0;
    }
    if (pdfHardBPtr != pdfBPtr) {
      delete pdfHardBPtr;
      pdfHardBPtr = 0;
    }
    useNewPdfHard = false;
  }
  if (useNewPdfA) {
    delete pdfAPtr;
    useNewPdfA    = false;
    pdfAPtr       = 0;
  }
  if (useNewPdfB) {
    delete pdfBPtr;
    useNewPdfB    = false;
    pdfBPtr       = 0;
  }
  if (useNewPdfPomA) {
    delete pdfPomAPtr;
    useNewPdfPomA = false;
    pdfPomAPtr    = 0;
  }
  if (useNewPdfPomB) {
    delete pdfPomBPtr;
    useNewPdfPomB = false;
    pdfPomBPtr    = 0;
  }

  // Set up the PDF's, if not already done.
  if (pdfAPtr == 0) {
    pdfAPtr     = getPDFPtr(idA);
    if (pdfAPtr == 0 || !pdfAPtr->isSetup()) {
      info.errorMsg("Error in Pythia::init: "
        "could not set up PDF for beam A");
      return false;
    }
    pdfHardAPtr = pdfAPtr;
    useNewPdfA  = true;
  }
  if (pdfBPtr == 0) {
    pdfBPtr     = getPDFPtr(idB);
    if (pdfBPtr == 0 || !pdfBPtr->isSetup()) {
      info.errorMsg("Error in Pythia::init: "
        "could not set up PDF for beam B");
      return false;
    }
    pdfHardBPtr = pdfBPtr;
    useNewPdfB  = true;
  }

  // Optionally set up separate PDF's for hard process.
  if (settings.flag("PDF:useHard") && useNewPdfA && useNewPdfB) {
    pdfHardAPtr = getPDFPtr(idA, 2);
    if (!pdfHardAPtr->isSetup()) return false;
    pdfHardBPtr = getPDFPtr(idB, 2);
    if (!pdfHardBPtr->isSetup()) return false;
    useNewPdfHard = true;
  }

  // Optionally set up Pomeron PDF's for diffractive physics.
  if ( doDiffraction) {
    if (pdfPomAPtr == 0) {
      pdfPomAPtr    = getPDFPtr(990);
      useNewPdfPomA = true;
    }
    if (pdfPomBPtr == 0) {
      pdfPomBPtr    = getPDFPtr(990);
      useNewPdfPomB = true;
    }
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Main routine to generate the next event, using internal machinery.

bool Pythia::next() {

  // Check that constructor worked.
  if (!isConstructed) return false;

  // Regularly print how many events have been generated.
  int nPrevious = info.getCounter(3);
  if (nCount > 0 && nPrevious > 0 && nPrevious%nCount == 0)
    cout << "\n Pythia::next(): " << nPrevious
         << " events have been generated " << endl;

  // Set/reset info counters specific to each event.
  info.addCounter(3);
  for (int i = 10; i < 13; ++i) info.setCounter(i);

  // Simpler option when no hard process, i.e. mainly hadron level.
  if (!doProcessLevel) {

    // Optionally fetch in resonance decays from LHA interface.
    if (doLHA && !processLevel.nextLHAdec( event)) {
      if (info.atEndOfFile()) info.errorMsg("Abort from Pythia::next:"
        " reached end of Les Houches Events File");
      return false;
    }

    // Reset info array (while event record contains data).
    info.clear();

    // Set correct energy for system.
    Vec4 pSum = 0.;
    for (int i = 1; i < event.size(); ++i)
      if (event[i].isFinal()) pSum += event[i].p();
    event[0].p( pSum );
    event[0].m( pSum.mCalc() );

    // Generate hadronization and decays.
    bool status = forceHadronLevel();
    if (status) info.addCounter(4);
    if (status && nPrevious < nShowEvt)  event.list(showSaV, showMaD);
    return status;
  }

  // Reset arrays.
  info.clear();
  process.clear();
  event.clear();
  partonSystems.clear();
  beamA.clear();
  beamB.clear();
  beamPomA.clear();
  beamPomB.clear();

  // Can only generate event if initialization worked.
  if (!isInit) {
    info.errorMsg("Abort from Pythia::next: "
      "not properly initialized so cannot generate events");
    return false;
  }

  // Pick beam momentum spread and beam vertex.
  if (doMomentumSpread || doVertexSpread) beamShapePtr->pick();

  // Recalculate kinematics when beam momentum spread.
  if (doMomentumSpread) nextKinematics();

  // Outer loop over hard processes; only relevant for user-set vetoes.
  for ( ; ; ) {

    info.addCounter(10);
    bool hasVetoed = false;

    // Provide the hard process that starts it off. Only one try.
    info.clear();
    process.clear();

    if ( !processLevel.next( process) ) {
      if (doLHA && info.atEndOfFile()) info.errorMsg("Abort from "
        "Pythia::next: reached end of Les Houches Events File");
      else info.errorMsg("Abort from Pythia::next: "
        "processLevel failed; giving up");
      return false;
    }

    info.addCounter(11);

    // Possibility for a user veto of the process-level event.
    if (doVetoProcess) {
      hasVetoed = userHooksPtr->doVetoProcessLevel( process);
      if (hasVetoed) {
        if (abortIfVeto) return false;
        continue;
      }
    }

    // Possibility to perform matrix element merging for this event.
    if (doMerging) {
      int veto = merging.mergeProcess( process );
      // Apply possible merging scale cut.
      if ( veto == -1 ) {
        hasVetoed = true;
        if (abortIfVeto) return false;
        continue;
      // Exit because of vanishing no-emission probability.
      } else if ( veto == 0 ) break;

      // Redo resonance decays after the merging, in case the resonance
      // structure has been changed because of reclusterings.
      if (veto == 2 && doResDec) processLevel.nextDecays( process);
    }

    // Possibility to stop the generation at this stage.
    if (!doPartonLevel) {
      boostAndVertex( true, true);
      processLevel.accumulate();
      info.addCounter(4);
      if (doLHA && nPrevious < nShowLHA) lhaUpPtr->listEvent();
      if (nPrevious < nShowInfo) info.list();
      if (nPrevious < nShowProc) process.list(showSaV, showMaD);
      return true;
    }

    // Save spare copy of process record in case of problems.
    Event processSave = process;
    int sizeMPI       = info.sizeMPIarrays();
    info.addCounter(12);
    for (int i = 14; i < 19; ++i) info.setCounter(i);

    // Allow up to ten tries for parton- and hadron-level processing.
    bool physical   = true;
    for (int iTry = 0; iTry < NTRY; ++iTry) {

      info.addCounter(14);
      physical  = true;
      hasVetoed = false;

      // Restore original process record if problems.
      if (iTry > 0) process = processSave;
      if (iTry > 0) info.resizeMPIarrays( sizeMPI);

      // Reset event record and (extracted partons from) beam remnants.
      event.clear();
      beamA.clear();
      beamB.clear();
      beamPomA.clear();
      beamPomB.clear();
      partonSystems.clear();

      // Parton-level evolution: ISR, FSR, MPI.
      if ( !partonLevel.next( process, event) ) {
        // Skip to next hard process for failure owing to deliberate veto,
        // or alternatively retry for the same hard process.
        hasVetoed = partonLevel.hasVetoed();
        if (hasVetoed) {
          if (retryPartonLevel) {
            --iTry;
            continue;
          }
          if (abortIfVeto) return false;
          break;
        }
        // Else make a new try for other failures.
        info.errorMsg("Error in Pythia::next: "
          "partonLevel failed; try again");
        physical = false;
        continue;
      }
      info.addCounter(15);

      // Possibility for a user veto of the parton-level event.
      if (doVetoPartons) {
        hasVetoed = userHooksPtr->doVetoPartonLevel( event);
        if (hasVetoed) {
          if (abortIfVeto) return false;
          break;
        }
      }

      // Boost to lab frame (before decays, for vertices).
      boostAndVertex( true, true);

      // Possibility to stop the generation at this stage.
      if (!doHadronLevel) {
        processLevel.accumulate();
        partonLevel.accumulate();
        // Optionally check final event for problems.
        if (checkEvent && !check()) {
          info.errorMsg("Abort from Pythia::next: "
            "check of event revealed problems");
          return false;
        }
        info.addCounter(4);
        if (doLHA && nPrevious < nShowLHA) lhaUpPtr->listEvent();
        if (nPrevious < nShowInfo) info.list();
        if (nPrevious < nShowProc) process.list(showSaV, showMaD);
        if (nPrevious < nShowEvt)  event.list(showSaV, showMaD);
        return true;
      }

      // Hadron-level: hadronization, decays.
      info.addCounter(16);
      if ( !hadronLevel.next( event) ) {
        info.errorMsg("Error in Pythia::next: "
          "hadronLevel failed; try again");
        physical = false;
        continue;
      }

      // If R-hadrons have been formed, then (optionally) let them decay.
      if (decayRHadrons && rHadrons.exist() && !doRHadronDecays()) {
        info.errorMsg("Error in Pythia::next: "
          "decayRHadrons failed; try again");
        physical = false;
        continue;
      }
      info.addCounter(17);
 
      // Optionally check final event for problems.
      if (checkEvent && !check()) {
        info.errorMsg("Error in Pythia::next: "
          "check of event revealed problems");
        physical = false;
        continue;
      }

      // Stop parton- and hadron-level looping if you got this far.
      info.addCounter(18);
      break;
    }

    // If event vetoed then to make a new try.
    if (hasVetoed)  {
      if (abortIfVeto) return false;
      continue;
    }

    // If event failed any other way (after ten tries) then give up.
    if (!physical) {
      info.errorMsg("Abort from Pythia::next: "
        "parton+hadronLevel failed; giving up");
      return false;
    }

    // Process- and parton-level statistics. Event scale.
    processLevel.accumulate();
    partonLevel.accumulate();
    event.scale( process.scale() );

    // End of outer loop over hard processes. Done with normal option.
    info.addCounter(13);
    break;
  }

  // List events.
  if (doLHA && nPrevious < nShowLHA) lhaUpPtr->listEvent();
  if (nPrevious < nShowInfo) info.list();
  if (nPrevious < nShowProc) process.list(showSaV,showMaD);
  if (nPrevious < nShowEvt)  event.list(showSaV, showMaD);

  // Done.
  info.addCounter(4);
  return true;

}

//--------------------------------------------------------------------------

// Generate only the hadronization/decay stage, using internal machinery.
// The "event" instance should already contain a parton-level configuration.

bool Pythia::forceHadronLevel(bool findJunctions) {

  // Can only generate event if initialization worked.
  if (!isInit) {
    info.errorMsg("Abort from Pythia::forceHadronLevel: "
      "not properly initialized so cannot generate events");
    return false;
  }

  // Check whether any junctions in system. (Normally done in ProcessLevel.)
  // Avoid it if there are no final-state coloured partons.
  if (findJunctions) {
    event.clearJunctions();
    for (int i = 0; i < event.size(); ++i)
    if (event[i].isFinal()
    && (event[i].col() != 0 || event[i].acol() != 0)) {
      processLevel.findJunctions( event);
      break;
    }
  }

  // Save spare copy of event in case of failure.
  Event spareEvent = event;
  
  // Allow up to ten tries for hadron-level processing.
  bool physical = true;
  for (int iTry = 0; iTry < NTRY; ++ iTry) {
    physical = true;

    // Check whether any resonances need to be handled at process level.
    if (doResDec) {
      process = event;
      processLevel.nextDecays( process);

      // Allow for showers if decays happened at process level.
      if (process.size() > event.size()) {
        if (doFSRinRes) {
          partonLevel.setupShowerSys( process, event);
          partonLevel.resonanceShowers( process, event, false);
        } else event = process;
      }
    }

    // Hadron-level: hadronization, decays.
    if (hadronLevel.next( event)) break;

    // If failure then warn, restore original configuration and try again.
    info.errorMsg("Error in Pythia::forceHadronLevel: "
      "hadronLevel failed; try again");
    physical = false;
    event    = spareEvent;
  }
   
  // Done for simpler option.
  if (!physical)  {
    info.errorMsg("Abort from Pythia::forceHadronLevel: "
      "hadronLevel failed; giving up");
    return false;
  }

  // Optionally check final event for problems.
  if (checkEvent && !check()) {
    info.errorMsg("Abort from Pythia::forceHadronLevel: "
      "check of event revealed problems");
    return false;
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Recalculate kinematics for each event when beam momentum has a spread.

void Pythia::nextKinematics() {

  // Read out momentum shift to give current beam momenta.
  pAnow = pAinit + beamShapePtr->deltaPA();
  pAnow.e( sqrt(pAnow.pAbs2() + mA * mA) );
  pBnow = pBinit + beamShapePtr->deltaPB();
  pBnow.e( sqrt(pBnow.pAbs2() + mB * mB) );

  // Construct CM frame kinematics.
  eCM   = (pAnow + pBnow).mCalc();
  pzAcm = 0.5 * sqrtpos( (eCM + mA + mB) * (eCM - mA - mB)
        * (eCM - mA + mB) * (eCM + mA - mB) ) / eCM;
  pzBcm = -pzAcm;
  eA    = sqrt(mA*mA + pzAcm*pzAcm);
  eB    = sqrt(mB*mB + pzBcm*pzBcm);

  // Set relevant info for other classes to use.
  info.setBeamA( idA, pzAcm, eA, mA);
  info.setBeamB( idB, pzBcm, eB, mB);
  info.setECM( eCM);
  beamA.newPzE( pzAcm, eA);
  beamB.newPzE( pzBcm, eB);

  // Set boost/rotation matrices from/to CM frame.
  MfromCM.reset();
  MfromCM.fromCMframe( pAnow, pBnow);
  MtoCM = MfromCM;
  MtoCM.invert();

}

//--------------------------------------------------------------------------

// Boost from CM frame to lab frame, or inverse. Set production vertex.

void Pythia::boostAndVertex( bool toLab, bool setVertex) {

  // Boost process from CM frame to lab frame.
  if (toLab) {
    if      (boostType == 2) process.bst(0., 0., betaZ, gammaZ);
    else if (boostType == 3) process.rotbst(MfromCM);

    // Boost nonempty event from CM frame to lab frame.
    if (event.size() > 0) {
      if      (boostType == 2) event.bst(0., 0., betaZ, gammaZ);
      else if (boostType == 3) event.rotbst(MfromCM);
    }

  // Boost process from lab frame to CM frame.
  } else {
    if      (boostType == 2) process.bst(0., 0., -betaZ, gammaZ);
    else if (boostType == 3) process.rotbst(MtoCM);

    // Boost nonempty event from lab frame to CM frame.
    if (event.size() > 0) {
      if      (boostType == 2) event.bst(0., 0., -betaZ, gammaZ);
      else if (boostType == 3) event.rotbst(MtoCM);
    }
  }

  // Set production vertex; assumes particles are in lab frame and at origin.
  if (setVertex && doVertexSpread) {
    Vec4 vertex = beamShapePtr->vertex();
    for (int i = 0; i < process.size(); ++i) process[i].vProd( vertex);
    for (int i = 0; i < event.size(); ++i) event[i].vProd( vertex);
  }

}

//--------------------------------------------------------------------------

// Perform R-hadron decays, either as part of normal evolution or forced.

bool Pythia::doRHadronDecays( ) {

  // Check if R-hadrons exist to be processed.
  if ( !rHadrons.exist() ) return true;

  // Do the R-hadron decay itself.
  if ( !rHadrons.decay( event) ) return false;

  // Perform showers in resonance decay chains.
  if ( !partonLevel.resonanceShowers( process, event, false) ) return false;

  // Subsequent hadronization and decays.
  if ( !hadronLevel.next( event) ) return false;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Print statistics on event generation.

void Pythia::stat() {

  // Read out settings for what to include.
  bool showPrL = settings.flag("Stat:showProcessLevel");
  bool showPaL = settings.flag("Stat:showPartonLevel");
  bool showErr = settings.flag("Stat:showErrors");
  bool reset   = settings.flag("Stat:reset");

  // Statistics on cross section and number of events.
  if (doProcessLevel) {
    if (showPrL) processLevel.statistics(false);
    if (reset)   processLevel.resetStatistics();
  }

  // Statistics from other classes, currently multiparton interactions.
  if (showPaL) partonLevel.statistics(false);
  if (reset)   partonLevel.resetStatistics();

  // Merging statistics.
  if (doMerging) merging.statistics();

  // Summary of which and how many warnings/errors encountered.
  if (showErr) info.errorStatistics();
  if (reset)   info.errorReset();

}

//--------------------------------------------------------------------------

// Print statistics on event generation - deprecated version.

void Pythia::statistics(bool all, bool reset) {

  // Statistics on cross section and number of events.
  if (doProcessLevel) processLevel.statistics(reset);

  // Statistics from other classes, e.g. multiparton interactions.
  if (all) partonLevel.statistics(reset);

  // Merging statistics.
  if (doMerging) merging.statistics();

  // Summary of which and how many warnings/errors encountered.
  info.errorStatistics();
  if (reset) info.errorReset();

}

//--------------------------------------------------------------------------

// Write the Pythia banner, with symbol and version information.

void Pythia::banner(ostream& os) {

  // Read in version number and last date of change.
  double versionNumber = settings.parm("Pythia:versionNumber");
  int versionDate = settings.mode("Pythia:versionDate");
  string month[12] = {"Jan", "Feb", "Mar", "Apr", "May", "Jun",
    "Jul", "Aug", "Sep", "Oct", "Nov", "Dec"};

  // Get date and time.
  time_t t = time(0);
  char dateNow[12];
  strftime(dateNow,12,"%d %b %Y",localtime(&t));
  char timeNow[9];
  strftime(timeNow,9,"%H:%M:%S",localtime(&t));
  
  os << "\n"
     << " *-------------------------------------------"
     << "-----------------------------------------* \n"
     << " |                                           "
     << "                                         | \n"
     << " |  *----------------------------------------"
     << "--------------------------------------*  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   PPP   Y   Y  TTTTT  H   H  III    A  "
     << "    Welcome to the Lund Monte Carlo!  |  | \n"
     << " |  |   P  P   Y Y     T    H   H   I    A A "
     << "    This is PYTHIA version " << fixed << setprecision(3)
     << setw(5) << versionNumber << "      |  | \n"
     << " |  |   PPP     Y      T    HHHHH   I   AAAAA"
     << "    Last date of change: " << setw(2) << versionDate%100
     << " " << month[ (versionDate/100)%100 - 1 ]
     << " " << setw(4) << versionDate/10000 <<  "  |  | \n"
     << " |  |   P       Y      T    H   H   I   A   A"
     << "                                      |  | \n"
     << " |  |   P       Y      T    H   H  III  A   A"
     << "    Now is " << dateNow << " at " << timeNow << "    |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   Torbjorn Sjostrand;  Department of As"
     << "tronomy and Theoretical Physics,      |  | \n"
     << " |  |      Lund University, Solvegatan 14A, S"
     << "E-223 62 Lund, Sweden;                |  | \n"
     << " |  |      phone: + 46 - 46 - 222 48 16; e-ma"
     << "il: torbjorn@thep.lu.se               |  | \n"
     << " |  |   Jesper Roy Christiansen;  Department "
     << "of Astronomy and Theoretical Physics, |  | \n"
     << " |  |      Lund University, Solvegatan 14A, S"
     << "E-223 62 Lund, Sweden;                |  | \n"
     << " |  |      e-mail: Jesper.Roy.Christiansen@th"
     << "ep.lu.se                              |  | \n"
     << " |  |   Nishita Desai;  Institut fuer Theoret"
     << "ische Physik,                         |  | \n"
     << " |  |     Universitaet Heidelberg, Philosophe"
     << "nweg 16, D-69120 Heidelberg, Germany; |  | \n"
     << " |  |      phone: +49 - 6221 54 9424; e-mail:"
     << " Nishita.Desai@cern.ch                |  | \n"
     << " |  |   Philip Ilten;  Massachusetts Institut"
     << "e of Technology,                      |  | \n"
     << " |  |      stationed at CERN, CH-1211 Geneva "
     << "23, Switzerland;                      |  | \n"
     << " |  |      e-mail: philten@cern.ch           "
     << "                                      |  | \n"
     << " |  |   Stephen Mrenna;  Computing Division, "
     << "Simulations Group,                    |  | \n"
     << " |  |      Fermi National Accelerator Laborat"
     << "ory, MS 234, Batavia, IL 60510, USA;  |  | \n"
     << " |  |      phone: + 1 - 630 - 840 - 2556; e-m"
     << "ail: mrenna@fnal.gov                  |  | \n"
     << " |  |   Stefan Prestel;  Theory Group, DESY, "
     << "                                      |  | \n"
     << " |  |      Notkestrasse 85, D-22607 Hamburg, "
     << "Germany;                              |  | \n"
     << " |  |      phone: + 49 - 40 - 8998-4250; e-ma"
     << "il: stefan.prestel@thep.lu.se         |  | \n"
     << " |  |   Peter Skands;  Theoretical Physics, C"
     << "ERN, CH-1211 Geneva 23, Switzerland;  |  | \n"
     << " |  |      phone: + 41 - 22 - 767 2447; e-mai"
     << "l: peter.skands@cern.ch               |  | \n"
     << " |  |   Stefan Ask; former author; e-mail: as"
     << "k.stefan@gmail.com                    |  | \n"
     << " |  |   Richard Corke; former author; e-mail:"
     << " r.corke@errno.net                    |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   The main program reference is the 'Br"
     << "ief Introduction to PYTHIA 8.1',      |  | \n"
     << " |  |   T. Sjostrand, S. Mrenna and P. Skands"
     << ", Comput. Phys. Comm. 178 (2008) 85   |  | \n"
     << " |  |   [arXiv:0710.3820]                    "
     << "                                      |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   The main physics reference is the 'PY"
     << "THIA 6.4 Physics and Manual',         |  | \n"
     << " |  |   T. Sjostrand, S. Mrenna and P. Skands"
     << ", JHEP05 (2006) 026 [hep-ph/0603175]. |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   An archive of program versions and do"
     << "cumentation is found on the web:      |  | \n"
     << " |  |   http://www.thep.lu.se/~torbjorn/Pythi"
     << "a.html                                |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   This program is released under the GN"
     << "U General Public Licence version 2.   |  | \n"
     << " |  |   Please respect the MCnet Guidelines f"
     << "or Event Generator Authors and Users. |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   Disclaimer: this program comes withou"
     << "t any guarantees.                     |  | \n"
     << " |  |   Beware of errors and use common sense"
     << " when interpreting results.           |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |   Copyright (C) 2014 Torbjorn Sjostrand"
     << "                                      |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  |                                        "
     << "                                      |  | \n"
     << " |  *----------------------------------------"
     << "--------------------------------------*  | \n"
     << " |                                           "
     << "                                         | \n"
     << " *-------------------------------------------"
     << "-----------------------------------------* \n" << endl;

}

//--------------------------------------------------------------------------

// Check for lines in file that mark the beginning of new subrun.

int Pythia::readSubrun(string line, bool warn, ostream& os) {

  // If empty line then done.
  int subrunLine = SUBRUNDEFAULT;
  if (line.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos)
    return subrunLine;

  // If first character is not a letter, then done.
  string lineNow = line;
  int firstChar = lineNow.find_first_not_of(" \n\t\v\b\r\f\a");
  if (!isalpha(lineNow[firstChar])) return subrunLine;

  // Replace an equal sign by a blank to make parsing simpler.
  while (lineNow.find("=") != string::npos) {
    int firstEqual = lineNow.find_first_of("=");
    lineNow.replace(firstEqual, 1, " ");
  }

  // Get first word of a line.
  istringstream splitLine(lineNow);
  string name;
  splitLine >> name;

  // Replace two colons by one (:: -> :) to allow for such mistakes.
  while (name.find("::") != string::npos) {
    int firstColonColon = name.find_first_of("::");
    name.replace(firstColonColon, 2, ":");
  }


  // Convert to lowercase.
  for (int i = 0; i < int(name.length()); ++i) name[i] = tolower(name[i]);

  // If no match then done.
  if (name != "main:subrun") return subrunLine;

  // Else find new subrun number and return it.
  splitLine >> subrunLine;
  if (!splitLine) {
    if (warn) os << "\n PYTHIA Warning: Main:subrun number not"
        << " recognized; skip:\n   " << line << endl;
    subrunLine = SUBRUNDEFAULT;
  }
  return subrunLine;

}

//--------------------------------------------------------------------------

// Check for lines in file that mark the beginning or end of commented section.
// Return +1 for beginning, -1 for end, 0 else.

int Pythia::readCommented(string line) {

  // If less than two nontrivial characters on line then done.
  if (line.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos) return 0;
  int firstChar = line.find_first_not_of(" \n\t\v\b\r\f\a");
  if (int(line.size()) < firstChar + 2) return 0;

  // If first two nontrivial characters are /* or */ then done.
  if (line.substr(firstChar, 2) == "/*") return +1;
  if (line.substr(firstChar, 2) == "*/") return -1;
  
  // Else done.
  return 0;

}

//--------------------------------------------------------------------------

// Check that the final event makes sense: no unknown id codes;
// charge and energy-momentum conserved.

bool Pythia::check(ostream& os) {

  // Reset.
  bool physical     = true;
  bool listVertices = false;
  bool listHistory  = false;
  bool listSystems  = false;
  bool listBeams    = false;
  iErrId.resize(0);
  iErrCol.resize(0);
  iErrEpm.resize(0);
  iErrNan.resize(0);
  iErrNanVtx.resize(0);
  Vec4 pSum;
  double chargeSum  = 0.;

  // Incoming beams counted with negative momentum and charge.
  if (doProcessLevel) {
    pSum      = - (event[1].p() + event[2].p());
    chargeSum = - (event[1].charge() + event[2].charge());

  // If no ProcessLevel then sum final state of process record.
  } else if (process.size() > 0) {
    pSum = - process[0].p();
    for (int i = 0; i < process.size(); ++i)
      if (process[i].isFinal()) chargeSum -= process[i].charge();

  // If process not filled, then use outgoing primary in event.
  } else {
    pSum = - event[0].p();
    for (int i = 1; i < event.size(); ++i)
      if (event[i].statusAbs() < 10 || event[i].statusAbs() == 23)
        chargeSum -= event[i].charge();
  }
  double eLab = abs(pSum.e());

  // Loop over particles in the event.
  for (int i = 0; i < event.size(); ++i) {

    // Look for any unrecognized particle codes.
    int id = event[i].id();
    if (id == 0 || !particleData.isParticle(id)) {
      ostringstream errCode;
      errCode << ", i = " << i << ", id = " << id;
      info.errorMsg("Error in Pythia::check: "
        "unknown particle code", errCode.str());
      physical = false;
      iErrId.push_back(i);

    // Check that colour assignments are the expected ones.
    } else {
      int colType = event[i].colType();
      int col     = event[i].col();
      int acol    = event[i].acol();
      if ( (colType ==  0 && (col  > 0 || acol  > 0))
        || (colType ==  1 && (col <= 0 || acol  > 0))
        || (colType == -1 && (col  > 0 || acol <= 0))
        || (colType ==  2 && (col <= 0 || acol <= 0)) ) {
        ostringstream errCode;
        errCode << ", i = " << i << ", id = " << id << " cols = " << col
                << " " << acol;
        info.errorMsg("Error in Pythia::check: "
          "incorrect colours", errCode.str());
        physical = false;
        iErrCol.push_back(i);
      }
    }

    // Look for particles with mismatched or not-a-number energy/momentum/mass.
    if (abs(event[i].px()) >= 0. && abs(event[i].py()) >= 0.
      && abs(event[i].pz()) >= 0.  && abs(event[i].e()) >= 0.
      && abs(event[i].m()) >= 0.) {
      if (abs(event[i].mCalc() - event[i].m()) > epTolErr * event[i].e()) {
        info.errorMsg("Error in Pythia::check: "
          "unmatched particle energy/momentum/mass");
        physical = false;
        iErrEpm.push_back(i);
      }
    } else {
      info.errorMsg("Error in Pythia::check: "
        "not-a-number energy/momentum/mass");
      physical = false;
      iErrNan.push_back(i);
    }

    // Look for particles with not-a-number vertex/lifetime.
    if (abs(event[i].xProd()) >= 0. && abs(event[i].yProd()) >= 0.
      && abs(event[i].zProd()) >= 0.  && abs(event[i].tProd()) >= 0.
      && abs(event[i].tau()) >= 0.) ;
    else {
      info.errorMsg("Error in Pythia::check: "
        "not-a-number vertex/lifetime");
      physical     = false;
      listVertices = true;
      iErrNanVtx.push_back(i);
    }

    // Add final-state four-momentum and charge.
    if (event[i].isFinal()) {
      pSum      += event[i].p();
      chargeSum += event[i].charge();
    }

  // End of particle loop.
  }

  // Check energy-momentum/charge conservation.
  double epDev = abs(pSum.e()) + abs(pSum.px()) + abs(pSum.py())
    + abs(pSum.pz());
  if (epDev > epTolErr * eLab) {
    info.errorMsg("Error in Pythia::check: energy-momentum not conserved");
    physical = false;
  } else if (epDev > epTolWarn * eLab) {
    info.errorMsg("Warning in Pythia::check: "
      "energy-momentum not quite conserved");
  }
  if (abs(chargeSum) > 0.1) {
    info.errorMsg("Error in Pythia::check: charge not conserved");
    physical = false;
  }

  // Check that beams and event records agree on incoming partons.
  // Only meaningful for resolved beams.
  if (info.isResolved())
  for (int iSys = 0; iSys < beamA.sizeInit(); ++iSys) {
    int eventANw  = partonSystems.getInA(iSys);
    int eventBNw  = partonSystems.getInB(iSys);
    int beamANw   = beamA[iSys].iPos();
    int beamBNw   = beamB[iSys].iPos();
    if (eventANw != beamANw || eventBNw != beamBNw) {
      info.errorMsg("Error in Pythia::check: "
        "event and beams records disagree");
      physical    = false;
      listSystems = true;
      listBeams   = true;
    }
  }

  // Check that mother and daughter information match for each particle.
  vector noMot;
  vector noDau;
  vector< pair > noMotDau;
  if (checkHistory) {

    // Loop through the event and check that there are beam particles.
    bool hasBeams = false;
    for (int i = 0; i < event.size(); ++i) {
      int status = event[i].status();
      if (abs(status) == 12) hasBeams = true;

      // Check that mother and daughter lists not empty where not expected to.
      vector mList = event[i].motherList();
      vector dList = event[i].daughterList();
      if (mList.size() == 0 && abs(status) != 11 && abs(status) != 12)
        noMot.push_back(i);
      if (dList.size() == 0 && status < 0 && status != -11)
        noDau.push_back(i);

      // Check that the particle appears in the daughters list of each mother.
      for (int j = 0; j < int(mList.size()); ++j) {
        if ( event[mList[j]].daughter1() <= i
          && event[mList[j]].daughter2() >= i ) continue;
        vector dmList = event[mList[j]].daughterList();
        bool foundMatch = false;
        for (int k = 0; k < int(dmList.size()); ++k)
        if (dmList[k] == i) {
          foundMatch = true;
          break;
        }
        if (!hasBeams && mList.size() == 1 && mList[0] == 0) foundMatch = true;
        if (!foundMatch) {
          bool oldPair = false;
          for (int k = 0; k < int(noMotDau.size()); ++k)
          if (noMotDau[k].first == mList[j] && noMotDau[k].second == i) {
            oldPair = true;
            break;
          }
          if (!oldPair) noMotDau.push_back( make_pair( mList[j], i) );
        }
      }

      // Check that the particle appears in the mothers list of each daughter.
      for (int j = 0; j < int(dList.size()); ++j) {
        if ( event[dList[j]].statusAbs() > 80
          && event[dList[j]].statusAbs() < 90
          && event[dList[j]].mother1() <= i
          && event[dList[j]].mother2() >= i) continue;
        vector mdList = event[dList[j]].motherList();
        bool foundMatch = false;
        for (int k = 0; k < int(mdList.size()); ++k)
        if (mdList[k] == i) {
          foundMatch = true;
          break;
        }
        if (!foundMatch) {
          bool oldPair = false;
          for (int k = 0; k < int(noMotDau.size()); ++k)
          if (noMotDau[k].first == i && noMotDau[k].second == dList[j]) {
            oldPair = true;
            break;
          }
          if (!oldPair) noMotDau.push_back( make_pair( i, dList[j]) );
        }
      }
    }

    // Warn if any errors were found.
    if (noMot.size() > 0 || noDau.size() > 0 || noMotDau.size() > 0) {
      info.errorMsg("Error in Pythia::check: "
        "mismatch in daughter and mother lists");
      physical    = false;
      listHistory = true;
    }
  }

  // Done for sensible events.
  if (physical) return true;

  // Print (the first few) flawed events: local info.
  if (nErrEvent < nErrList) {
    os << "\n PYTHIA erroneous event info: \n";
    if (iErrId.size() > 0) {
      os << " unknown particle codes in lines ";
      for (int i = 0; i < int(iErrId.size()); ++i)
        os << iErrId[i] << " ";
      os << "\n";
    }
    if (iErrCol.size() > 0) {
      os << " incorrect colour assignments in lines ";
      for (int i = 0; i < int(iErrCol.size()); ++i)
        os << iErrCol[i] << " ";
      os << "\n";
    }
    if (iErrEpm.size() > 0) {
      os << " mismatch between energy/momentum/mass in lines ";
      for (int i = 0; i < int(iErrEpm.size()); ++i)
        os << iErrEpm[i] << " ";
      os << "\n";
    }
    if (iErrNan.size() > 0) {
      os << " not-a-number energy/momentum/mass in lines ";
      for (int i = 0; i < int(iErrNan.size()); ++i)
        os << iErrNan[i] << " ";
      os << "\n";
    }
    if (iErrNanVtx.size() > 0) {
      os << " not-a-number vertex/lifetime in lines ";
      for (int i = 0; i < int(iErrNanVtx.size()); ++i)
        os << iErrNanVtx[i] << " ";
      os << "\n";
    }
    if (epDev > epTolErr * eLab) os << scientific << setprecision(3)
      << " total energy-momentum non-conservation = " << epDev << "\n";
    if (abs(chargeSum) > 0.1) os << fixed << setprecision(2)
      << " total charge non-conservation = " << chargeSum << "\n";
    if (noMot.size() > 0) {
      os << " missing mothers for particles ";
      for (int i = 0; i < int(noMot.size()); ++i) os << noMot[i] << " ";
      os << "\n";
    }
    if (noDau.size() > 0) {
      os << " missing daughters for particles ";
      for (int i = 0; i < int(noDau.size()); ++i) os << noDau[i] << " ";
      os << "\n";
    }
    if (noMotDau.size() > 0) {
      os << " inconsistent history for (mother,daughter) pairs ";
      for (int i = 0; i < int(noMotDau.size()); ++i)
        os << "(" << noMotDau[i].first << "," << noMotDau[i].second << ") ";
      os << "\n";
    }

    // Print (the first few) flawed events: standard listings.
    info.list();
    event.list(listVertices, listHistory);
    if (listSystems) partonSystems.list();
    if (listBeams) beamA.list();
    if (listBeams) beamB.list();
  }

  // Update error counter. Done also for flawed event.
  ++nErrEvent;
  return false;

}

//--------------------------------------------------------------------------

// Routine to set up a PDF pointer.

PDF* Pythia::getPDFPtr(int idIn, int sequence) {

  // Temporary pointer to be returned.
  PDF* tempPDFPtr = 0;

  // One option is to treat a Pomeron like a pi0.
  if (idIn == 990 && settings.mode("PDF:PomSet") == 2) idIn = 111;

  // Proton beam, normal choice. Also used for neutron.
  if ((abs(idIn) == 2212 || abs(idIn) == 2112) && sequence == 1) {
    int  pSet      = settings.mode("PDF:pSet");
    bool useLHAPDF = settings.flag("PDF:useLHAPDF");

    // Use internal sets.
    if (!useLHAPDF) {
      if      (pSet == 1) tempPDFPtr = new GRV94L(idIn);
      else if (pSet == 2) tempPDFPtr = new CTEQ5L(idIn);
      else if (pSet <= 6)
           tempPDFPtr = new MSTWpdf(idIn, pSet - 2, xmlPath, &info);
      else if (pSet <= 12)
           tempPDFPtr = new CTEQ6pdf(idIn, pSet - 6, xmlPath, &info);
      else tempPDFPtr = new NNPDF(idIn, pSet - 12, xmlPath, &info);
    }
    
    // Use sets from LHAPDF.
    else {
      string LHAPDFset    = settings.word("PDF:LHAPDFset");
      int    LHAPDFmember = settings.mode("PDF:LHAPDFmember");
      int nSet = LHAPDF::findNSet(LHAPDFset, LHAPDFmember);
      if (nSet == -1) nSet = LHAPDF::freeNSet();
      tempPDFPtr = new LHAPDF(idIn, LHAPDFset, LHAPDFmember, nSet, &info);

      // Optionally allow extrapolation beyond x and Q2 limits.
      tempPDFPtr->setExtrapolate( settings.flag("PDF:extrapolateLHAPDF") );
    }
  }

  // Proton beam, special choice for the hard process. Also neutron.
  else if (abs(idIn) == 2212 || abs(idIn) == 2112) {
    int  pSet      = settings.mode("PDF:pHardSet");
    bool useLHAPDF = settings.flag("PDF:useHardLHAPDF");

    // Use internal sets.
    if (!useLHAPDF) {
      if      (pSet == 1) tempPDFPtr = new GRV94L(idIn);
      else if (pSet == 2) tempPDFPtr = new CTEQ5L(idIn);
      else if (pSet <= 6)
           tempPDFPtr = new MSTWpdf(idIn, pSet - 2, xmlPath, &info);
      else if (pSet <= 12)
           tempPDFPtr = new CTEQ6pdf(idIn, pSet - 6, xmlPath, &info);
      else tempPDFPtr = new NNPDF(idIn, pSet - 12, xmlPath, &info);
    }
    
    // Use sets from LHAPDF.
    else {
      string LHAPDFset    = settings.word("PDF:hardLHAPDFset");
      int    LHAPDFmember = settings.mode("PDF:hardLHAPDFmember");
      int nSet = LHAPDF::findNSet(LHAPDFset, LHAPDFmember);
      if (nSet == -1) nSet = LHAPDF::freeNSet();
      tempPDFPtr = new LHAPDF(idIn, LHAPDFset, LHAPDFmember, nSet, &info);
 
     // Optionally allow extrapolation beyond x and Q2 limits.
      tempPDFPtr->setExtrapolate( settings.flag("PDF:extrapolateLHAPDF") );
    }
  }

  // Pion beam (or, in one option, Pomeron beam).
  else if (abs(idIn) == 211 || idIn == 111) {
    bool useLHAPDF = settings.flag("PDF:piUseLHAPDF");

    // Use internal sets.
    if (!useLHAPDF) {
      tempPDFPtr = new GRVpiL(idIn);
    }
    
    // Use sets from LHAPDF.
    else {
      string LHAPDFset    = settings.word("PDF:piLHAPDFset");
      int    LHAPDFmember = settings.mode("PDF:piLHAPDFmember");
      tempPDFPtr = new LHAPDF(idIn, LHAPDFset, LHAPDFmember, 1, &info);

      // Optionally allow extrapolation beyond x and Q2 limits.
      tempPDFPtr->setExtrapolate( settings.flag("PDF:extrapolateLHAPDF") );
    }
  }

  // Pomeron beam, if not treated like a pi0 beam.
  else if (idIn == 990) {
    int    pomSet  = settings.mode("PDF:PomSet");
    double rescale = settings.parm("PDF:PomRescale");

    // A generic Q2-independent parametrization.
    if (pomSet == 1) {
      double gluonA      = settings.parm("PDF:PomGluonA");
      double gluonB      = settings.parm("PDF:PomGluonB");
      double quarkA      = settings.parm("PDF:PomQuarkA");
      double quarkB      = settings.parm("PDF:PomQuarkB");
      double quarkFrac   = settings.parm("PDF:PomQuarkFrac");
      double strangeSupp = settings.parm("PDF:PomStrangeSupp");
      tempPDFPtr = new PomFix( 990, gluonA, gluonB, quarkA, quarkB,
        quarkFrac, strangeSupp);
    }
    
    // The H1 Q2-dependent parametrizations. Initialization requires files.
    else if (pomSet == 3 || pomSet == 4)
      tempPDFPtr = new PomH1FitAB( 990, pomSet - 2, rescale, xmlPath, &info);
    else if (pomSet == 5)
      tempPDFPtr = new PomH1Jets( 990, rescale, xmlPath, &info);
    else if (pomSet == 6)
      tempPDFPtr = new PomH1FitAB( 990, 3, rescale, xmlPath, &info);
  }

  // Lepton beam: neutrino, resolved charged lepton or unresolved ditto.
  else if (abs(idIn) > 10 && abs(idIn) < 17) {
    if (abs(idIn)%2 == 0) tempPDFPtr = new NeutrinoPoint(idIn);
    else if (settings.flag("PDF:lepton")) tempPDFPtr = new Lepton(idIn);
    else tempPDFPtr = new LeptonPoint(idIn);
  }

  // Failure for unrecognized particle.
  else tempPDFPtr = 0;
  
  // Done.
  return tempPDFPtr;
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaProcess.cc0000644000175000017500000013340212357054764016054 0ustar  sunsun// SigmaProcess.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// SigmaProcess class, and classes derived from it.

#include "Pythia8/SigmaProcess.h"

namespace Pythia8 {

//==========================================================================

// The SigmaProcess class.
// Base class for cross sections.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Conversion of GeV^{-2} to mb for cross section.
const double SigmaProcess::CONVERT2MB    = 0.389380;

// The sum of outgoing masses must not be too close to the cm energy.
const double SigmaProcess::MASSMARGIN    = 0.1;

// Parameters of momentum rescaling procedure: maximally allowed
// relative energy error and number of iterations.
const double SigmaProcess::COMPRELERR = 1e-10;
const int    SigmaProcess::NCOMPSTEP  = 10;

//--------------------------------------------------------------------------

// Perform simple initialization and store pointers.

void SigmaProcess::init(Info* infoPtrIn, Settings* settingsPtrIn,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn, BeamParticle* beamAPtrIn,
  BeamParticle* beamBPtrIn, Couplings* couplingsPtrIn,
  SigmaTotal* sigmaTotPtrIn, SLHAinterface* slhaInterfacePtrIn) {

  // Store pointers.
  infoPtr         = infoPtrIn;
  settingsPtr     = settingsPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  beamAPtr        = beamAPtrIn;
  beamBPtr        = beamBPtrIn;
  couplingsPtr    = couplingsPtrIn;
  sigmaTotPtr     = sigmaTotPtrIn;
  // Pointer to SLHA object allows semi-internal processes to access
  // SLHA blocks via getEntry() methods, see arXiv:1109.5852
  slhaPtr         = (slhaInterfacePtrIn != 0) ? &slhaInterfacePtrIn->slha : 0;

  // Read out some properties of beams to allow shorthand.
  idA             = (beamAPtr != 0) ? beamAPtr->id() : 0;
  idB             = (beamBPtr != 0) ? beamBPtr->id() : 0;
  mA              = (beamAPtr != 0) ? beamAPtr->m() : 0.;
  mB              = (beamBPtr != 0) ? beamBPtr->m() : 0.;
  isLeptonA       = (beamAPtr != 0) ? beamAPtr->isLepton() : false;
  isLeptonB       = (beamBPtr != 0) ? beamBPtr->isLepton() : false;
  hasLeptonBeams  = isLeptonA || isLeptonB;

  // K factor, multiplying resolved processes. (But not here for MPI.)
  Kfactor         = settingsPtr->parm("SigmaProcess:Kfactor");

  // Maximum incoming quark flavour.
  nQuarkIn        = settingsPtr->mode("PDFinProcess:nQuarkIn");

  // Medium heavy fermion masses set massless or not in ME expressions.
  mcME            = (settingsPtr->flag("SigmaProcess:cMassiveME"))
                  ? particleDataPtr->m0(4)  : 0.;
  mbME            = (settingsPtr->flag("SigmaProcess:bMassiveME"))
                  ? particleDataPtr->m0(5)  : 0.;
  mmuME           = (settingsPtr->flag("SigmaProcess:muMassiveME"))
                  ? particleDataPtr->m0(13) : 0.;
  mtauME          = (settingsPtr->flag("SigmaProcess:tauMassiveME"))
                  ? particleDataPtr->m0(15) : 0.;

  // Renormalization scale choice.
  renormScale1    = settingsPtr->mode("SigmaProcess:renormScale1");
  renormScale2    = settingsPtr->mode("SigmaProcess:renormScale2");
  renormScale3    = settingsPtr->mode("SigmaProcess:renormScale3");
  renormScale3VV  = settingsPtr->mode("SigmaProcess:renormScale3VV");
  renormMultFac   = settingsPtr->parm("SigmaProcess:renormMultFac");
  renormFixScale  = settingsPtr->parm("SigmaProcess:renormFixScale");

  // Factorization scale choice.
  factorScale1    = settingsPtr->mode("SigmaProcess:factorScale1");
  factorScale2    = settingsPtr->mode("SigmaProcess:factorScale2");
  factorScale3    = settingsPtr->mode("SigmaProcess:factorScale3");
  factorScale3VV  = settingsPtr->mode("SigmaProcess:factorScale3VV");
  factorMultFac   = settingsPtr->parm("SigmaProcess:factorMultFac");
  factorFixScale  = settingsPtr->parm("SigmaProcess:factorFixScale");

  // CP violation parameters for the BSM Higgs sector.
  higgsH1parity   = settingsPtr->mode("HiggsH1:parity");
  higgsH1eta      = settingsPtr->parm("HiggsH1:etaParity");
  higgsH2parity   = settingsPtr->mode("HiggsH2:parity");
  higgsH2eta      = settingsPtr->parm("HiggsH2:etaParity");
  higgsA3parity   = settingsPtr->mode("HiggsA3:parity");
  higgsA3eta      = settingsPtr->parm("HiggsA3:etaParity");

  // If BSM not switched on then H1 should have SM properties.
  if (!settingsPtr->flag("Higgs:useBSM")){
    higgsH1parity = 1;
    higgsH1eta    = 0.;
  }

}

//--------------------------------------------------------------------------

// Set up allowed flux of incoming partons.
// addBeam: set up PDF's that need to be evaluated for the two beams.
// addPair: set up pairs of incoming partons from the two beams.

bool SigmaProcess::initFlux() {

  // Reset arrays (in case of several init's in same run).
  inBeamA.clear();
  inBeamB.clear();
  inPair.clear();

  // Read in process-specific channel information.
  string fluxType = inFlux();

  // Case with g g incoming state.
  if (fluxType == "gg") {
    addBeamA(21);
    addBeamB(21);
    addPair(21, 21);
  }

  // Case with q g incoming state.
  else if (fluxType == "qg") {
    for (int i = -nQuarkIn; i <= nQuarkIn; ++i) {
      int idNow = (i == 0) ? 21 : i;
      addBeamA(idNow);
      addBeamB(idNow);
    }
    for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
    if (idNow != 0) {
      addPair(idNow, 21);
      addPair(21, idNow);
    }
  }

  // Case with q q', q qbar' or qbar qbar' incoming state.
  else if (fluxType == "qq") {
    for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
    if (idNow != 0) {
      addBeamA(idNow);
      addBeamB(idNow);
    }
    for (int id1Now = -nQuarkIn; id1Now <= nQuarkIn; ++id1Now)
    if (id1Now != 0)
    for (int id2Now = -nQuarkIn; id2Now <= nQuarkIn; ++id2Now)
    if (id2Now != 0)
      addPair(id1Now, id2Now);
  }

  // Case with q qbar' incoming state.
  else if (fluxType == "qqbar") {
    for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
    if (idNow != 0) {
      addBeamA(idNow);
      addBeamB(idNow);
    }
    for (int id1Now = -nQuarkIn; id1Now <= nQuarkIn; ++id1Now)
    if (id1Now != 0)
    for (int id2Now = -nQuarkIn; id2Now <= nQuarkIn; ++id2Now)
    if (id2Now != 0 && id1Now * id2Now < 0)
      addPair(id1Now, id2Now);
  }

  // Case with q qbar incoming state.
  else if (fluxType == "qqbarSame") {
    for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
    if (idNow != 0) {
      addBeamA(idNow);
      addBeamB(idNow);
    }
    for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
    if (idNow != 0)
      addPair(idNow, -idNow);
  }

  // Case with f f', f fbar', fbar fbar' incoming state.
  else if (fluxType == "ff") {
    // If beams are leptons then they are also the colliding partons.
    if ( isLeptonA && isLeptonB ) {
      addBeamA(idA);
      addBeamB(idB);
      addPair(idA, idB);
    // First beam is lepton and second is hadron.
    } else if ( isLeptonA ) {
      addBeamA(idA);
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamB(idNow);
        addPair(idA, idNow);
      }
    // First beam is hadron and second is lepton.
    } else if ( isLeptonB ) {
      addBeamB(idB);
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamA(idNow);
        addPair(idNow, idB);
      }
    // Hadron beams gives quarks.
    } else {
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamA(idNow);
        addBeamB(idNow);
      }
      for (int id1Now = -nQuarkIn; id1Now <= nQuarkIn; ++id1Now)
      if (id1Now != 0)
      for (int id2Now = -nQuarkIn; id2Now <= nQuarkIn; ++id2Now)
      if (id2Now != 0)
        addPair(id1Now, id2Now);
    }
  }

  // Case with f fbar' generic incoming state.
  else if (fluxType == "ffbar") {
    // If beams are leptons then also colliding partons.
    if (isLeptonA && isLeptonB && idA * idB < 0) {
      addBeamA(idA);
      addBeamB(idB);
      addPair(idA, idB);
    // Hadron beams gives quarks.
    } else {
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamA(idNow);
        addBeamB(idNow);
      }
      for (int id1Now = -nQuarkIn; id1Now <= nQuarkIn; ++id1Now)
      if (id1Now != 0)
      for (int id2Now = -nQuarkIn; id2Now <= nQuarkIn; ++id2Now)
      if (id2Now != 0 && id1Now * id2Now < 0)
        addPair(id1Now, id2Now);
    }
  }

  // Case with f fbar incoming state.
  else if (fluxType == "ffbarSame") {
    // If beams are antiparticle pair and leptons then also colliding partons.
    if ( idA + idB == 0 && isLeptonA ) {
      addBeamA(idA);
      addBeamB(idB);
      addPair(idA, idB);
    // Else assume both to be hadrons, for better or worse.
    } else {
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamA(idNow);
        addBeamB(idNow);
      }
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0)
        addPair(idNow, -idNow);
    }
  }

  // Case with f fbar' charged(+-1) incoming state.
  else if (fluxType == "ffbarChg") {
    // If beams are leptons then also colliding partons.
    if ( isLeptonA && isLeptonB && abs( particleDataPtr->chargeType(idA)
             + particleDataPtr->chargeType(idB) ) == 3 ) {
      addBeamA(idA);
      addBeamB(idB);
      addPair(idA, idB);
    // Hadron beams gives quarks.
    } else {
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamA(idNow);
        addBeamB(idNow);
      }
      for (int id1Now = -nQuarkIn; id1Now <= nQuarkIn; ++id1Now)
      if (id1Now != 0)
      for (int id2Now = -nQuarkIn; id2Now <= nQuarkIn; ++id2Now)
      if (id2Now != 0 && id1Now * id2Now < 0
        && (abs(id1Now) + abs(id2Now))%2 == 1) addPair(id1Now, id2Now);
    }
  }

  // Case with f gamma incoming state.
  else if (fluxType == "fgm") {
    // Fermion from incoming side A.
    if ( isLeptonA ) {
      addBeamA(idA);
      addPair(idA, 22);
    } else {
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamA(idNow);
        addPair(idNow, 22);
      }
    }
    // Fermion from incoming side B.
    if ( isLeptonB ) {
      addBeamB( idB);
      addPair(22, idB);
    } else {
      for (int idNow = -nQuarkIn; idNow <= nQuarkIn; ++idNow)
      if (idNow != 0) {
        addBeamB(idNow);
        addPair(22, idNow);
      }
    }
    // Photons in the beams.
    addBeamA(22);
    addBeamB(22);
  }

  // Case with gamma gamma incoming state.
  else if (fluxType == "ggm") {
    addBeamA(21);
    addBeamA(22);
    addBeamB(21);
    addBeamB(22);
    addPair(21, 22);
    addPair(22, 21);
  }

  // Case with gamma gamma incoming state.
  else if (fluxType == "gmgm") {
    addBeamA(22);
    addBeamB(22);
    addPair(22, 22);
  }

  // Unrecognized fluxType is bad sign. Else done.
  else {
    infoPtr->errorMsg("Error in SigmaProcess::initFlux: "
    "unrecognized inFlux type", fluxType);
    return false;
  }
  return true;

}

//--------------------------------------------------------------------------

// Convolute matrix-element expression(s) with parton flux and K factor.

double SigmaProcess::sigmaPDF() {

  // Evaluate and store the required parton densities.
  for (int j = 0; j < sizeBeamA(); ++j)
    inBeamA[j].pdf = beamAPtr->xfHard( inBeamA[j].id, x1Save, Q2FacSave);
  for (int j = 0; j < sizeBeamB(); ++j)
    inBeamB[j].pdf = beamBPtr->xfHard( inBeamB[j].id, x2Save, Q2FacSave);

  // Loop over allowed incoming channels.
  sigmaSumSave = 0.;
  for (int i = 0; i < sizePair(); ++i) {
    
    // Evaluate hard-scattering cross section. Include K factor.
    inPair[i].pdfSigma = Kfactor
                       * sigmaHatWrap(inPair[i].idA, inPair[i].idB);
    
    // Multiply by respective parton densities.
    for (int j = 0; j < sizeBeamA(); ++j)
    if (inPair[i].idA == inBeamA[j].id) {
      inPair[i].pdfA      = inBeamA[j].pdf;
      inPair[i].pdfSigma *= inBeamA[j].pdf;
      break;
    }
    for (int j = 0; j < sizeBeamB(); ++j)
    if (inPair[i].idB == inBeamB[j].id) {
      inPair[i].pdfB      = inBeamB[j].pdf;
      inPair[i].pdfSigma *= inBeamB[j].pdf;
      break;
    }

    // Sum for all channels.
    sigmaSumSave += inPair[i].pdfSigma;
  }
 
  // Done.
  return sigmaSumSave;

}

//--------------------------------------------------------------------------

// Select incoming parton channel and extract parton densities (resolved).

void SigmaProcess::pickInState(int id1in, int id2in) {

  // Multiparton interactions: partons already selected.
  if (id1in != 0 && id2in != 0) {
    id1 = id1in;
    id2 = id2in;
    return;
  }

  // Pick channel. Extract channel flavours and pdf's.
  double sigmaRand =  sigmaSumSave * rndmPtr->flat();
  for (int i = 0; i < sizePair(); ++i) {
    sigmaRand -= inPair[i].pdfSigma;
    if (sigmaRand <= 0.) {
      id1      = inPair[i].idA;
      id2      = inPair[i].idB;
      pdf1Save = inPair[i].pdfA;
      pdf2Save = inPair[i].pdfB;
      break;
    }
  }

}

//--------------------------------------------------------------------------

// Calculate incoming modified masses and four-vectors for matrix elements.

bool SigmaProcess::setupForMEin() {

  // Initially assume it will work out to set up modified kinematics.
  bool allowME = true;

  // Correct incoming c, b, mu and tau to be massive or not.
  mME[0] = 0.;
  int id1Tmp = abs(id1);
  if (id1Tmp ==  4) mME[0] = mcME;
  if (id1Tmp ==  5) mME[0] = mbME;
  if (id1Tmp == 13) mME[0] = mmuME;
  if (id1Tmp == 15) mME[0] = mtauME;
  mME[1] = 0.;
  int id2Tmp = abs(id2);
  if (id2Tmp ==  4) mME[1] = mcME;
  if (id2Tmp ==  5) mME[1] = mbME;
  if (id2Tmp == 13) mME[1] = mmuME;
  if (id2Tmp == 15) mME[1] = mtauME;

  // If kinematically impossible return to massless case, but set error.
  if (mME[0] + mME[1] >= mH) {
    mME[0] = 0.;
    mME[1] = 0.;
    allowME = false;
  }

  // Do incoming two-body kinematics for massless or massive cases.
  if (mME[0] == 0. && mME[1] == 0.) {
  pME[0] = 0.5 * mH * Vec4( 0., 0.,  1., 1.);
  pME[1] = 0.5 * mH * Vec4( 0., 0., -1., 1.);
  } else {
    double e0   = 0.5 * (mH * mH + mME[0] * mME[0] - mME[1] * mME[1]) / mH;
    double pz0  = sqrtpos(e0 * e0 - mME[0] * mME[0]);
    pME[0] = Vec4( 0., 0.,  pz0, e0);
    pME[1] = Vec4( 0., 0., -pz0, mH - e0);
  }

  // Done.
  return allowME;
  
}

//--------------------------------------------------------------------------

// Evaluate weight for W decay distribution in t -> W b -> f fbar b.

double SigmaProcess::weightTopDecay( Event& process, int iResBeg,
  int iResEnd) {

  // If not pair W d/s/b and mother t then return unit weight.
  if (iResEnd - iResBeg != 1) return 1.;
  int iW1  = iResBeg;
  int iB2  = iResBeg + 1;
  int idW1 = process[iW1].idAbs();
  int idB2 = process[iB2].idAbs();
  if (idW1 != 24) {
    swap(iW1, iB2);
    swap(idW1, idB2);
  }
  if (idW1 != 24 || (idB2 != 1 && idB2 != 3 && idB2 != 5)) return 1.;
  int iT   = process[iW1].mother1();
  if (iT <= 0 || process[iT].idAbs() != 6) return 1.;

  // Find sign-matched order of W decay products.
  int iF    = process[iW1].daughter1();
  int iFbar = process[iW1].daughter2();
  if (iFbar - iF != 1) return 1.;
  if (process[iT].id() * process[iF].id() < 0) swap(iF, iFbar);

  // Weight and maximum weight.
  double wt    = (process[iT].p() * process[iFbar].p())
               * (process[iF].p() * process[iB2].p());
  double wtMax = ( pow4(process[iT].m()) - pow4(process[iW1].m()) ) / 8.;

  // Done.
  return wt / wtMax;

}

//--------------------------------------------------------------------------

// Evaluate weight for Z0/W+- decay distributions in H -> Z0/W+ Z0/W- -> 4f
// and H -> gamma Z0 -> gamma f fbar.

double SigmaProcess::weightHiggsDecay( Event& process, int iResBeg,
  int iResEnd) {

  // If not pair Z0 Z0, W+ W- or gamma Z0 then return unit weight.
  if (iResEnd - iResBeg != 1) return 1.;
  int iZW1  = iResBeg;
  int iZW2  = iResBeg + 1;
  int idZW1 = process[iZW1].id();
  int idZW2 = process[iZW2].id();
  if (idZW1 < 0 || idZW2 == 22) {
    swap(iZW1, iZW2);
    swap(idZW1, idZW2);
  }
  if ( (idZW1 != 23 || idZW2 != 23) && (idZW1 != 24 || idZW2 != -24)
    && (idZW1 != 22 || idZW2 != 23) ) return 1.;

  // If mother is not Higgs then return unit weight.
  int iH  = process[iZW1].mother1();
  if (iH <= 0) return 1.;
  int idH = process[iH].id();
  if (idH != 25 && idH != 35 && idH !=36) return 1.;

  // H -> gamma Z0 -> gamma f fbar is 1 + cos^2(theta) in Z rest frame.
  if (idZW1 == 22) {
    int i5 = process[iZW2].daughter1();
    int i6 = process[iZW2].daughter2();
    double pgmZ = process[iZW1].p() * process[iZW2].p();
    double pgm5 = process[iZW1].p() * process[i5].p();
    double pgm6 = process[iZW1].p() * process[i6].p();
    return (pow2(pgm5) + pow2(pgm6)) / pow2(pgmZ);
  }

  // Parameters depend on Higgs type: H0(H_1), H^0(H_2) or A^0(H_3).
  int    higgsParity = higgsH1parity;
  double higgsEta    = higgsH1eta;
  if (idH == 35) {
    higgsParity      = higgsH2parity;
    higgsEta         = higgsH2eta;
  } else if (idH == 36) {
    higgsParity      = higgsA3parity;
    higgsEta         = higgsA3eta;
  }

  // Option with isotropic decays.
  if (higgsParity == 0) return 1.;

  // Maximum and initial weight.
  double wtMax = pow4(process[iH].m());
  double wt    = wtMax;

  // Find sign-matched order of Z0/W+- decay products.
  int i3 = process[iZW1].daughter1();
  int i4 = process[iZW1].daughter2();
  if (process[i3].id() < 0) swap( i3, i4);
  int i5 = process[iZW2].daughter1();
  int i6 = process[iZW2].daughter2();
  if (process[i5].id() < 0) swap( i5, i6);

  // Evaluate four-vector products and find masses..
  double p35  = 2. * process[i3].p() * process[i5].p();
  double p36  = 2. * process[i3].p() * process[i6].p();
  double p45  = 2. * process[i4].p() * process[i5].p();
  double p46  = 2. * process[i4].p() * process[i6].p();
  double p34  = 2. * process[i3].p() * process[i4].p();
  double p56  = 2. * process[i5].p() * process[i6].p();
  double mZW1 = process[iZW1].m();
  double mZW2 = process[iZW2].m();

  // For mixed CP states need epsilon product and gauge boson masses.
  double epsilonProd = 0.;
  if (higgsParity == 3) {
    double p[4][4];
    for (int i = 0; i < 4; ++i) {
      int         ii = i3;
      if (i == 1) ii = i4;
      if (i == 2) ii = i5;
      if (i == 3) ii = i6;
      p[i][0] = process[ii].e();
      p[i][1] = process[ii].px();
      p[i][2] = process[ii].py();
      p[i][3] = process[ii].pz();
    }
    epsilonProd
      = p[0][0]*p[1][1]*p[2][2]*p[3][3] - p[0][0]*p[1][1]*p[2][3]*p[3][2]
      - p[0][0]*p[1][2]*p[2][1]*p[3][3] + p[0][0]*p[1][2]*p[2][3]*p[3][1]
      + p[0][0]*p[1][3]*p[2][1]*p[3][2] - p[0][0]*p[1][3]*p[2][2]*p[3][1]
      - p[0][1]*p[1][0]*p[2][2]*p[3][3] + p[0][1]*p[1][0]*p[2][3]*p[3][2]
      + p[0][1]*p[1][2]*p[2][0]*p[3][3] - p[0][1]*p[1][2]*p[2][3]*p[3][0]
      - p[0][1]*p[1][3]*p[2][0]*p[3][2] + p[0][1]*p[1][3]*p[2][2]*p[3][0]
      + p[0][2]*p[1][0]*p[2][1]*p[3][3] - p[0][2]*p[1][0]*p[2][3]*p[3][1]
      - p[0][2]*p[1][1]*p[2][0]*p[3][3] + p[0][2]*p[1][1]*p[2][3]*p[3][0]
      + p[0][2]*p[1][3]*p[2][0]*p[3][1] - p[0][2]*p[1][3]*p[2][1]*p[3][0]
      - p[0][3]*p[1][0]*p[2][1]*p[3][2] + p[0][3]*p[1][0]*p[2][2]*p[3][1]
      + p[0][3]*p[1][1]*p[2][0]*p[3][2] - p[0][3]*p[1][1]*p[2][2]*p[3][0]
      - p[0][3]*p[1][2]*p[2][0]*p[3][1] + p[0][3]*p[1][2]*p[2][1]*p[3][0];
  }

  // Z0 Z0 decay: vector and axial couplings of two fermion pairs.
  if (idZW1 == 23) {
    double vf1 = couplingsPtr->vf(process[i3].idAbs());
    double af1 = couplingsPtr->af(process[i3].idAbs());
    double vf2 = couplingsPtr->vf(process[i5].idAbs());
    double af2 = couplingsPtr->af(process[i5].idAbs());
    double va12asym = 4. * vf1 * af1 * vf2 * af2
      / ( (vf1*vf1 + af1*af1) * (vf2*vf2 + af2*af2) );
    double etaMod = higgsEta / pow2( particleDataPtr->m0(23) );
    
    // Normal CP-even decay.
    if (higgsParity == 1) wt = 8. * (1. + va12asym) * p35 * p46
      + 8. * (1. - va12asym) * p36 * p45;

    // CP-odd decay (normal for A0(H_3)).
    else if (higgsParity == 2) wt = ( pow2(p35 + p46)
      + pow2(p36 + p45) - 2. * p34 * p56
      - 2. * pow2(p35 * p46 - p36 * p45) / (p34 * p56)
      + va12asym * (p35 + p36 - p45 - p46) * (p35 + p45 - p36 - p46) )
      / (1. +  va12asym);

    // Mixed CP states.
    else wt = 32. * ( 0.25 * ( (1. + va12asym) * p35 * p46
      + (1. - va12asym) * p36 * p45 ) - 0.5 * etaMod * epsilonProd
      * ( (1. + va12asym) * (p35 + p46) - (1. - va12asym) * (p36 + p45) )
      + 0.0625 * etaMod * etaMod * (-2. * pow2(p34 * p56)
      - 2. * pow2(p35 * p46 - p36 * p45)
      + p34 * p56 * (pow2(p35 + p46) + pow2(p36 + p45))
      + va12asym * p34 * p56 * (p35 + p36 - p45 - p46)
      * (p35 + p45 - p36 - p46) ) ) / ( 1. + 2. * etaMod * mZW1 * mZW2
      + 2. * pow2(etaMod * mZW1 * mZW2) * (1. + va12asym) );

  // W+ W- decay.
  } else if (idZW1 == 24) {
    double etaMod = higgsEta / pow2( particleDataPtr->m0(24) );
    
    // Normal CP-even decay.
    if (higgsParity == 1) wt = 16. * p35 * p46;

    // CP-odd decay (normal for A0(H_3)).
    else if (higgsParity == 2) wt = 0.5 * ( pow2(p35 + p46)
      + pow2(p36 + p45) - 2. * p34 * p56
      - 2. * pow2(p35 * p46 - p36 * p45) / (p34 * p56)
      + (p35 + p36 - p45 - p46) * (p35 + p45 - p36 - p46) );

    // Mixed CP states.
    else wt = 32. * ( 0.25 * 2. * p35 * p46
      - 0.5 * etaMod * epsilonProd * 2. * (p35 + p46)
      + 0.0625 * etaMod * etaMod * (-2. * pow2(p34 * p56)
      - 2. * pow2(p35 * p46 - p36 * p45)
      + p34 * p56 * (pow2(p35 + p46) + pow2(p36 + p45))
      + p34 * p56 * (p35 + p36 - p45 - p46) * (p35 + p45 - p36 - p46) ) )
      / ( 1. * 2. * etaMod * mZW1 * mZW2 + 2. * pow2(etaMod * mZW1 * mZW2) );
  }

  // Done.
  return wt / wtMax;

}

//==========================================================================

// The Sigma1Process class.
// Base class for resolved 2 -> 1 cross sections; derived from SigmaProcess.

//--------------------------------------------------------------------------

// Wrapper to sigmaHat, to (a) store current incoming flavours,
// (b) convert from GeV^-2 to mb where required, and
// (c) convert from |M|^2 to d(sigmaHat)/d(tHat) where required.

double Sigma1Process::sigmaHatWrap(int id1in, int id2in) {
  
  id1 = id1in;
  id2 = id2in;
  double sigmaTmp = sigmaHat();
  if (convertM2()) {
    sigmaTmp /= 2. * sH;
    // Convert 2 * pi * delta(p^2 - m^2) to Breit-Wigner with same area.
    int idTmp     = resonanceA();
    double mTmp   = particleDataPtr->m0(idTmp);
    double GamTmp = particleDataPtr->mWidth(idTmp);
    sigmaTmp *= 2. * mTmp * GamTmp / ( pow2(sH - mTmp * mTmp)
      + pow2(mTmp * GamTmp) );
  }
  if (convert2mb()) sigmaTmp *= CONVERT2MB;
  return sigmaTmp;

}

//--------------------------------------------------------------------------

// Input and complement kinematics for resolved 2 -> 1 process.

void Sigma1Process::store1Kin( double x1in, double x2in, double sHin) {

  // Default value only sensible for these processes.
  swapTU = false;

  // Incoming parton momentum fractions and sHat.
  x1Save = x1in;
  x2Save = x2in;
  sH     = sHin;
  mH     = sqrt(sH);
  sH2    = sH * sH;

  // Different options for renormalization scale, but normally sHat.
  Q2RenSave                        = renormMultFac * sH;
  if (renormScale1 == 2) Q2RenSave = renormFixScale;

  // Different options for factorization scale, but normally sHat.
  Q2FacSave                        = factorMultFac * sH;
  if (factorScale1 == 2) Q2FacSave = factorFixScale;

  // Evaluate alpha_strong and alpha_EM.
  alpS   = couplingsPtr->alphaS(Q2RenSave);
  alpEM  = couplingsPtr->alphaEM(Q2RenSave);

}

//--------------------------------------------------------------------------

// Calculate modified masses and four-vectors for matrix elements.

bool Sigma1Process::setupForME() {

  // Common initial-state handling.
  bool allowME = setupForMEin();

  // Final state trivial here.
  mME[2] = mH;
  pME[2] = Vec4( 0., 0., 0., mH);

  // Done.
  return allowME;

}

//==========================================================================

// The Sigma2Process class.
// Base class for resolved 2 -> 2 cross sections; derived from SigmaProcess.

//--------------------------------------------------------------------------

// Input and complement kinematics for resolved 2 -> 2 process.

void Sigma2Process::store2Kin( double x1in, double x2in, double sHin,
  double tHin, double m3in, double m4in, double runBW3in, double runBW4in) {

  // Default ordering of particles 3 and 4.
  swapTU   = false;

  // Incoming parton momentum fractions.
  x1Save   = x1in;
  x2Save   = x2in;

  // Incoming masses and their squares.
  bool masslessKin = (id3Mass() == 0) && (id4Mass() == 0);
  if (masslessKin) {
    m3     = 0.;
    m4     = 0.;
  } else {
    m3     = m3in;
    m4     = m4in;
  }
  mSave[3] = m3;
  mSave[4] = m4;
  s3       = m3 * m3;
  s4       = m4 * m4;

  // Standard Mandelstam variables and their squares.
  sH       = sHin;
  tH       = tHin;
  uH       = (masslessKin) ? -(sH + tH) : s3 + s4 - (sH + tH);
  mH       = sqrt(sH);
  sH2      = sH * sH;
  tH2      = tH * tH;
  uH2      = uH * uH;

  // The nominal Breit-Wigner factors with running width.
  runBW3   = runBW3in;
  runBW4   = runBW4in;

  // Calculate squared transverse momentum.
  pT2 = (masslessKin) ?  tH * uH / sH : (tH * uH - s3 * s4) / sH;

  // Special case: pick scale as if 2 -> 1 process in disguise.
  if (isSChannel()) {

    // Different options for renormalization scale, but normally sHat.
    Q2RenSave                        = renormMultFac * sH;
    if (renormScale1 == 2) Q2RenSave = renormFixScale;

    // Different options for factorization scale, but normally sHat.
    Q2FacSave                        = factorMultFac * sH;
    if (factorScale1 == 2) Q2FacSave = factorFixScale;

  // Normal case with "true" 2 -> 2.
  } else {

    // Different options for renormalization scale.
    if (masslessKin)            Q2RenSave = (renormScale2 < 4) ? pT2 : sH;
    else if (renormScale2 == 1) Q2RenSave = pT2 + min(s3, s4);
    else if (renormScale2 == 2) Q2RenSave = sqrt((pT2 + s3) * (pT2 + s4));
    else if (renormScale2 == 3) Q2RenSave = pT2 + 0.5 * (s3 + s4);
    else                        Q2RenSave = sH;
    Q2RenSave                            *= renormMultFac;
    if      (renormScale2 == 5) Q2RenSave = renormFixScale;

    // Different options for factorization scale.
    if (masslessKin)            Q2FacSave = (factorScale2 < 4) ? pT2 : sH;
    else if (factorScale2 == 1) Q2FacSave = pT2 + min(s3, s4);
    else if (factorScale2 == 2) Q2FacSave = sqrt((pT2 + s3) * (pT2 + s4));
    else if (factorScale2 == 3) Q2FacSave = pT2 + 0.5 * (s3 + s4);
    else                        Q2FacSave = sH;
    Q2FacSave                            *= factorMultFac;
    if      (factorScale2 == 5) Q2FacSave = factorFixScale;
  }

  // Evaluate alpha_strong and alpha_EM.
  alpS  = couplingsPtr->alphaS(Q2RenSave);
  alpEM = couplingsPtr->alphaEM(Q2RenSave);

}

//--------------------------------------------------------------------------

// As above, special kinematics for multiparton interactions.

void Sigma2Process::store2KinMPI( double x1in, double x2in,
  double sHin, double tHin, double uHin, double alpSin, double alpEMin,
  bool needMasses, double m3in, double m4in) {

  // Default ordering of particles 3 and 4.
  swapTU    = false;
 
  // Incoming x values.
  x1Save    = x1in;
  x2Save    = x2in;

  // Standard Mandelstam variables and their squares.
  sH        = sHin;
  tH        = tHin;
  uH        = uHin;
  mH        = sqrt(sH);
  sH2       = sH * sH;
  tH2       = tH * tH;
  uH2       = uH * uH;

  // Strong and electroweak couplings.
  alpS      = alpSin;
  alpEM     = alpEMin;

  // Assume vanishing masses. (Will be modified in final kinematics.)
  m3        = 0.;
  s3        = 0.;
  m4        = 0.;
  s4        = 0.;
  sHBeta    = sH;

  // Scattering angle.
  cosTheta  = (tH - uH) / sH;
  sinTheta  = 2. * sqrtpos( tH * uH ) / sH;

  // In some cases must use masses and redefine meaning of tHat and uHat.
  if (needMasses) {
    m3      = m3in;
    s3      = m3 * m3;
    m4      = m4in;
    s4      = m4 * m4;
    sHMass  = sH - s3 - s4;
    sHBeta  = sqrtpos(sHMass*sHMass - 4. * s3 * s4);
    tH      = -0.5 * (sHMass - sHBeta * cosTheta);
    uH      = -0.5 * (sHMass + sHBeta * cosTheta);
    tH2     = tH * tH;
    uH2     = uH * uH;
  }

  // pT2 with masses (at this stage) included.
  pT2Mass   = 0.25 * sHBeta * pow2(sinTheta);

}

//--------------------------------------------------------------------------

// Perform kinematics for a multiparton interaction, including a rescattering.

bool Sigma2Process::final2KinMPI( int i1Res, int i2Res, Vec4 p1Res, Vec4 p2Res,
  double m1Res, double m2Res) {

  // Have to set flavours and colours.
  setIdColAcol();

  // Check that masses of outgoing particles not too big.
  m3           = particleDataPtr->m0(idSave[3]);
  m4           = particleDataPtr->m0(idSave[4]);
  mH           = sqrt(sH);
  if (m3 + m4 + MASSMARGIN > mH) return false;
  s3           = m3 * m3;
  s4           = m4 * m4;

  // Do kinematics of the production; without or with masses.
  double e1In  = 0.5 * mH;
  double e2In  = e1In;
  double pzIn  = e1In;
  if (i1Res > 0 || i2Res > 0) {
    double s1  = m1Res * m1Res;
    double s2  = m2Res * m2Res;
    e1In       = 0.5 * (sH + s1 - s2) / mH;
    e2In       = 0.5 * (sH + s2 - s1) / mH;
    pzIn       = sqrtpos( e1In*e1In - s1 );
  }

  // Do kinematics of the decay.
  double e3    = 0.5 * (sH + s3 - s4) / mH;
  double e4    = 0.5 * (sH + s4 - s3) / mH;
  double pAbs  = sqrtpos( e3*e3 - s3 );
  phi          = 2. * M_PI * rndmPtr->flat();
  double pZ    = pAbs * cosTheta;
  pTFin        = pAbs * sinTheta;
  double pX    = pTFin * sin(phi);
  double pY    = pTFin * cos(phi);
  double scale = 0.5 * mH * sinTheta;

  // Fill particle info.
  int status1  = (i1Res == 0) ? -31 : -34;
  int status2  = (i2Res == 0) ? -31 : -34;
  parton[1]    = Particle( idSave[1], status1, 0, 0, 3, 4,
    colSave[1], acolSave[1],  0.,  0.,  pzIn, e1In, m1Res, scale);
  parton[2]    = Particle( idSave[2], status2, 0, 0, 3, 4,
    colSave[2], acolSave[2],  0.,  0., -pzIn, e2In, m2Res, scale);
  parton[3]    = Particle( idSave[3],      33, 1, 2, 0, 0,
    colSave[3], acolSave[3],  pX,  pY,    pZ,   e3,    m3, scale);
  parton[4]    = Particle( idSave[4],      33, 1, 2, 0, 0,
    colSave[4], acolSave[4], -pX, -pY,   -pZ,   e4,    m4, scale);

  // Boost particles from subprocess rest frame to event rest frame.
  // Normal multiparton interaction: only longitudinal boost.
  if (i1Res == 0 && i2Res == 0) {
    double betaZ = (x1Save - x2Save) / (x1Save + x2Save);
    for (int i = 1; i <= 4; ++i) parton[i].bst(0., 0., betaZ);
  // Rescattering: generic rotation and boost required.
  } else {
    RotBstMatrix M;
    M.fromCMframe( p1Res, p2Res);
    for (int i = 1; i <= 4; ++i) parton[i].rotbst(M);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Calculate modified masses and four-vectors for matrix elements.

bool Sigma2Process::setupForME() {

  // Common initial-state handling.
  bool allowME = setupForMEin();

  // Correct outgoing c, b, mu and tau to be massive or not.
  mME[2] = m3;
  int id3Tmp = abs(id3Mass());
  if (id3Tmp ==  4) mME[2] = mcME;
  if (id3Tmp ==  5) mME[2] = mbME;
  if (id3Tmp == 13) mME[2] = mmuME;
  if (id3Tmp == 15) mME[2] = mtauME;
  mME[3] = m4;
  int id4Tmp = abs(id4Mass());
  if (id4Tmp ==  4) mME[3] = mcME;
  if (id4Tmp ==  5) mME[3] = mbME;
  if (id4Tmp == 13) mME[3] = mmuME;
  if (id4Tmp == 15) mME[3] = mtauME;

  // If kinematically impossible turn to massless case, but set error.
  if (mME[2] + mME[3] >= mH) {
    mME[2] = 0.;
    mME[3] = 0.;
    allowME = false;
  }

  // Calculate scattering angle in subsystem rest frame.
  double sH34 = sqrtpos( pow2(sH - s3 - s4) - 4. * s3 * s4);
  double cThe = (tH - uH) / sH34;
  double sThe = sqrtpos(1. - cThe * cThe);

  // Setup massive kinematics with preserved scattering angle.
  double s3ME   = pow2(mME[2]);
  double s4ME   = pow2(mME[3]);
  double sH34ME = sqrtpos( pow2(sH - s3ME - s4ME) - 4. * s3ME * s4ME);
  double pAbsME = 0.5 * sH34ME / mH;

  // Normally allowed with unequal (or vanishing) masses.
  if (id3Tmp == 0 || id3Tmp != id4Tmp) {
    pME[2] = Vec4(  pAbsME * sThe, 0.,  pAbsME * cThe,
             0.5 * (sH + s3ME - s4ME) / mH);
    pME[3] = Vec4( -pAbsME * sThe, 0., -pAbsME * cThe,
             0.5 * (sH + s4ME - s3ME) / mH);

  // For equal (anti)particles (e.g. W+ W-) use averaged mass.
  } else {
    mME[2] = sqrtpos(0.5 * (s3ME + s4ME) - 0.25 * pow2(s3ME - s4ME) / sH);
    mME[3] = mME[2];
    pME[2] = Vec4(  pAbsME * sThe, 0.,  pAbsME * cThe, 0.5 * mH);
    pME[3] = Vec4( -pAbsME * sThe, 0., -pAbsME * cThe, 0.5 * mH);
  }

  // Done.
  return allowME;

}

//==========================================================================

// The Sigma3Process class.
// Base class for resolved 2 -> 3 cross sections; derived from SigmaProcess.

//--------------------------------------------------------------------------

// Input and complement kinematics for resolved 2 -> 3 process.

void Sigma3Process::store3Kin( double x1in, double x2in, double sHin,
  Vec4 p3cmIn, Vec4 p4cmIn, Vec4 p5cmIn, double m3in, double m4in,
  double m5in, double runBW3in, double runBW4in, double runBW5in) {

  // Default ordering of particles 3 and 4 - not relevant here.
  swapTU   = false;

  // Incoming parton momentum fractions.
  x1Save   = x1in;
  x2Save   = x2in;

  // Incoming masses and their squares.
  if (id3Mass() == 0 && id4Mass() == 0 && id5Mass() == 0) {
    m3     = 0.;
    m4     = 0.;
    m5     = 0.;
  } else {
    m3     = m3in;
    m4     = m4in;
    m5     = m5in;
  }
  mSave[3] = m3;
  mSave[4] = m4;
  mSave[5] = m5;
  s3       = m3 * m3;
  s4       = m4 * m4;
  s5       = m5 * m5;

  // Standard Mandelstam variables and four-momenta in rest frame.
  sH       = sHin;
  mH       = sqrt(sH);
  sH2      = sH * sH;
  p3cm     = p3cmIn;
  p4cm     = p4cmIn;
  p5cm     = p5cmIn;

  // The nominal Breit-Wigner factors with running width.
  runBW3   = runBW3in;
  runBW4   = runBW4in;
  runBW5   = runBW5in;

  // Special case: pick scale as if 2 -> 1 process in disguise.
  if (isSChannel()) {

    // Different options for renormalization scale, but normally sHat.
    Q2RenSave = renormMultFac * sH;
    if (renormScale1 == 2) Q2RenSave = renormFixScale;

    // Different options for factorization scale, but normally sHat.
    Q2FacSave = factorMultFac * sH;
    if (factorScale1 == 2) Q2RenSave = factorFixScale;

  // "Normal" 2 -> 3 processes, i.e. not vector boson fusion.
  } else if ( idTchan1() != 23 && idTchan1() != 24 && idTchan2() != 23
    && idTchan2() != 24 ) {
    double mT3S = s3 + p3cm.pT2();
    double mT4S = s4 + p4cm.pT2();
    double mT5S = s5 + p5cm.pT2();
    
    // Different options for renormalization scale.
    if      (renormScale3 == 1) Q2RenSave = min( mT3S, min(mT4S, mT5S) );
    else if (renormScale3 == 2) Q2RenSave = sqrt( mT3S * mT4S * mT5S
      / max( mT3S, max(mT4S, mT5S) ) );
    else if (renormScale3 == 3) Q2RenSave = pow( mT3S * mT4S * mT5S,
                                            1./3. );
    else if (renormScale3 == 4) Q2RenSave = (mT3S + mT4S + mT5S) / 3.;
    else                        Q2RenSave = sH;
    Q2RenSave                            *= renormMultFac;
    if      (renormScale3 == 6) Q2RenSave = renormFixScale;
    
    // Different options for factorization scale.
    if      (factorScale3 == 1) Q2FacSave = min( mT3S, min(mT4S, mT5S) );
    else if (factorScale3 == 2) Q2FacSave = sqrt( mT3S * mT4S * mT5S
      / max( mT3S, max(mT4S, mT5S) ) );
    else if (factorScale3 == 3) Q2FacSave = pow( mT3S * mT4S * mT5S,
                                            1./3. );
    else if (factorScale3 == 4) Q2FacSave = (mT3S + mT4S + mT5S) / 3.;
    else                        Q2FacSave = sH;
    Q2FacSave                            *= factorMultFac;
    if      (factorScale3 == 6) Q2FacSave = factorFixScale;

  // Vector boson fusion 2 -> 3 processes; recoils in positions 4 and 5.
  } else {
    double sV4   = pow2( particleDataPtr->m0(idTchan1()) );
    double sV5   = pow2( particleDataPtr->m0(idTchan2()) );
    double mT3S  = s3  + p3cm.pT2();
    double mTV4S = sV4 + p4cm.pT2();
    double mTV5S = sV5 + p5cm.pT2();

    // Different options for renormalization scale.
    if      (renormScale3VV == 1) Q2RenSave = max( sV4, sV5);
    else if (renormScale3VV == 2) Q2RenSave = sqrt( mTV4S * mTV5S );
    else if (renormScale3VV == 3) Q2RenSave = pow( mT3S * mTV4S * mTV5S,
                                              1./3. );
    else if (renormScale3VV == 4) Q2RenSave = (mT3S * mTV4S * mTV5S) / 3.;
    else                          Q2RenSave = sH;
    Q2RenSave                              *= renormMultFac;
    if      (renormScale3VV == 6) Q2RenSave = renormFixScale;
    
    // Different options for factorization scale.
    if      (factorScale3VV == 1) Q2FacSave = max( sV4, sV5);
    else if (factorScale3VV == 2) Q2FacSave = sqrt( mTV4S * mTV5S );
    else if (factorScale3VV == 3) Q2FacSave = pow( mT3S * mTV4S * mTV5S,
                                              1./3. );
    else if (factorScale3VV == 4) Q2FacSave = (mT3S * mTV4S * mTV5S) / 3.;
    else                          Q2FacSave = sH;
    Q2FacSave                              *= factorMultFac;
    if      (factorScale3VV == 6) Q2FacSave = factorFixScale;
  }

  // Evaluate alpha_strong and alpha_EM.
  alpS  = couplingsPtr->alphaS(Q2RenSave);
  alpEM = couplingsPtr->alphaEM(Q2RenSave);

}

//--------------------------------------------------------------------------

// Calculate modified masses and four-vectors for matrix elements.

bool Sigma3Process::setupForME() {

  // Common initial-state handling.
  bool allowME = setupForMEin();

  // Correct outgoing c, b, mu and tau to be massive or not.
  mME[2] = m3;
  int id3Tmp = abs(id3Mass());
  if (id3Tmp ==  4) mME[2] = mcME;
  if (id3Tmp ==  5) mME[2] = mbME;
  if (id3Tmp == 13) mME[2] = mmuME;
  if (id3Tmp == 15) mME[2] = mtauME;
  mME[3] = m4;
  int id4Tmp = abs(id4Mass());
  if (id4Tmp ==  4) mME[3] = mcME;
  if (id4Tmp ==  5) mME[3] = mbME;
  if (id4Tmp == 13) mME[3] = mmuME;
  if (id4Tmp == 15) mME[3] = mtauME;
  mME[4] = m5;
  int id5Tmp = abs(id5Mass());
  if (id5Tmp ==  4) mME[4] = mcME;
  if (id5Tmp ==  5) mME[4] = mbME;
  if (id5Tmp == 13) mME[4] = mmuME;
  if (id5Tmp == 15) mME[4] = mtauME;

  // If kinematically impossible turn to massless case, but set error.
  if (mME[2] + mME[3] + mME[4] >= mH) {
    mME[2] = 0.;
    mME[3] = 0.;
    mME[4] = 0.;
    allowME = false;
  }
  
  // Form new average masses if identical particles.
  if (id3Tmp != 0 && id4Tmp == id3Tmp && id5Tmp == id3Tmp) {
    double mAvg = (mME[2] + mME[3] + mME[4]) / 3.;
    mME[2] = mAvg;
    mME[3] = mAvg;
    mME[4] = mAvg;
  } else if (id3Tmp != 0 && id4Tmp == id3Tmp) {
    mME[2] = sqrtpos(0.5 * (pow2(mME[2]) + pow2(mME[3]))
           - 0.25 * pow2(pow2(mME[2]) - pow2(mME[3])) / sH);
    mME[3] = mME[2];
  } else if (id3Tmp != 0 && id5Tmp == id3Tmp) {
    mME[2] = sqrtpos(0.5 * (pow2(mME[2]) + pow2(mME[4]))
           - 0.25 * pow2(pow2(mME[2]) - pow2(mME[4])) / sH);
    mME[4] = mME[2];
  } else if (id4Tmp != 0 && id5Tmp == id4Tmp) {
    mME[3] = sqrtpos(0.5 * (pow2(mME[3]) + pow2(mME[4]))
           - 0.25 * pow2(pow2(mME[3]) - pow2(mME[4])) / sH);
    mME[4] = mME[2];
  }

  // Iterate rescaled three-momenta until convergence.
  double m2ME3 = pow2(mME[2]);
  double m2ME4 = pow2(mME[3]);
  double m2ME5 = pow2(mME[4]);
  double p2ME3 = p3cm.pAbs2();
  double p2ME4 = p4cm.pAbs2();
  double p2ME5 = p5cm.pAbs2();
  double p2sum = p2ME3 + p2ME4 + p2ME5;
  double eME3  = sqrt(m2ME3 + p2ME3);
  double eME4  = sqrt(m2ME4 + p2ME4);
  double eME5  = sqrt(m2ME5 + p2ME5);
  double esum  = eME3 + eME4 + eME5;
  double p2rat = p2ME3 / eME3 + p2ME4 / eME4 + p2ME5 / eME5;
  int iStep = 0;
  while ( abs(esum - mH) > COMPRELERR * mH && iStep < NCOMPSTEP ) {
    ++iStep;
    double compFac = 1. + 2. * (mH - esum) / p2rat;
    p2ME3 *= compFac;
    p2ME4 *= compFac;
    p2ME5 *= compFac;
    eME3   = sqrt(m2ME3 + p2ME3);
    eME4   = sqrt(m2ME4 + p2ME4);
    eME5   = sqrt(m2ME5 + p2ME5);
    esum   = eME3 + eME4 + eME5;
    p2rat  = p2ME3 / eME3 + p2ME4 / eME4 + p2ME5 / eME5;
  }

  // If failed convergence set error flag.
  if (abs(esum - mH) > COMPRELERR * mH) allowME = false;

  // Set up accepted kinematics.
  double totFac = sqrt( (p2ME3 + p2ME4 + p2ME5) / p2sum);
  pME[2] = totFac * p3cm;
  pME[2].e( eME3);
  pME[3] = totFac * p4cm;
  pME[3].e( eME4);
  pME[4] = totFac * p5cm;
  pME[4].e( eME5);

  // Done.
  return allowME;

}

//==========================================================================

// The SigmaLHAProcess class.
// Wrapper for Les Houches Accord external input; derived from SigmaProcess.
// Note: arbitrary subdivision into PhaseSpaceLHA and SigmaLHAProcess tasks.

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double SigmaLHAProcess::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Do nothing if decays present already at input.
  if (iResBeg < process.savedSizeValue()) return 1.;

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//--------------------------------------------------------------------------

// Set scale, alpha_strong and alpha_EM when not set.

void SigmaLHAProcess::setScale() {

  // If scale has not been set, then to set.
  double scaleLHA = lhaUpPtr->scale();
  if (scaleLHA < 0.) {

    // Final-state partons and their invariant mass.
    vector iFin;
    Vec4 pFinSum;
    for (int i = 3; i < lhaUpPtr->sizePart(); ++i)
    if (lhaUpPtr->mother1(i) == 1) {
      iFin.push_back(i);
      pFinSum += Vec4( lhaUpPtr->px(i), lhaUpPtr->py(i),
        lhaUpPtr->pz(i), lhaUpPtr->e(i) );
    }
    int nFin = iFin.size();
    sH       = pFinSum * pFinSum;
    mH       = sqrt(sH);
    sH2      = sH * sH;

    // If 1 final-state particle then use Sigma1Process logic.
    if (nFin == 1) {
      Q2RenSave                             = renormMultFac * sH;
      if (renormScale1 == 2) Q2RenSave      = renormFixScale;
      Q2FacSave                             = factorMultFac * sH;
      if (factorScale1 == 2) Q2FacSave      = factorFixScale;

    // If 2 final-state particles then use Sigma2Process logic.
    } else if (nFin == 2) {
      double s3  = pow2(lhaUpPtr->m(iFin[0]));
      double s4  = pow2(lhaUpPtr->m(iFin[1]));
      double pT2 = pow2(lhaUpPtr->px(iFin[0])) + pow2(lhaUpPtr->py(iFin[0]));
      if      (renormScale2 == 1) Q2RenSave = pT2 + min(s3, s4);
      else if (renormScale2 == 2) Q2RenSave = sqrt((pT2 + s3) * (pT2 + s4));
      else if (renormScale2 == 3) Q2RenSave = pT2 + 0.5 * (s3 + s4);
      else                        Q2RenSave = sH;
      Q2RenSave                            *= renormMultFac;
      if      (renormScale2 == 5) Q2RenSave = renormFixScale;
      if      (factorScale2 == 1) Q2FacSave = pT2 + min(s3, s4);
      else if (factorScale2 == 2) Q2FacSave = sqrt((pT2 + s3) * (pT2 + s4));
      else if (factorScale2 == 3) Q2FacSave = pT2 + 0.5 * (s3 + s4);
      else                        Q2FacSave = sH;
      Q2FacSave                            *= factorMultFac;
      if      (factorScale2 == 5) Q2FacSave = factorFixScale;

    // If 3 or more final-state particles then use Sigma3Process logic.
    } else {
      double mTSlow  = sH;
      double mTSmed  = sH;
      double mTSprod = 1.;
      double mTSsum  = 0.;
      for (int i = 0; i < nFin; ++i) {
        double mTSnow = pow2(lhaUpPtr->m(iFin[i]))
          + pow2(lhaUpPtr->px(iFin[i])) + pow2(lhaUpPtr->py(iFin[i]));
        if      (mTSnow < mTSlow) {mTSmed = mTSlow; mTSlow = mTSnow;}
        else if (mTSnow < mTSmed) mTSmed = mTSnow;
        mTSprod *= mTSnow;
        mTSsum  += mTSnow;
      }
      if      (renormScale3 == 1) Q2RenSave = mTSlow;
      else if (renormScale3 == 2) Q2RenSave = sqrt(mTSlow * mTSmed);
      else if (renormScale3 == 3) Q2RenSave = pow(mTSprod, 1. / nFin);
      else if (renormScale3 == 4) Q2RenSave = mTSsum / nFin;
      else                        Q2RenSave = sH;
      Q2RenSave                            *= renormMultFac;
      if      (renormScale3 == 6) Q2RenSave = renormFixScale;
      if      (factorScale3 == 1) Q2FacSave = mTSlow;
      else if (factorScale3 == 2) Q2FacSave = sqrt(mTSlow * mTSmed);
      else if (factorScale3 == 3) Q2FacSave = pow(mTSprod, 1. / nFin);
      else if (factorScale3 == 4) Q2FacSave = mTSsum / nFin;
      else                        Q2FacSave = sH;
      Q2FacSave                            *= factorMultFac;
      if      (factorScale3 == 6) Q2FacSave = factorFixScale;
    }
  }

  // If alpha_strong and alpha_EM have not been set, then set them.
  if (lhaUpPtr->alphaQCD() < 0.001) {
    double Q2RenNow = (scaleLHA < 0.) ? Q2RenSave : pow2(scaleLHA);
    alpS = couplingsPtr->alphaS(Q2RenNow);
  }
  if (lhaUpPtr->alphaQED() < 0.001) {
    double Q2RenNow = (scaleLHA < 0.) ? Q2RenSave : pow2(scaleLHA);
    alpEM = couplingsPtr->alphaEM(Q2RenNow);
  }

}

//--------------------------------------------------------------------------

// Obtain number of final-state partons from LHA object.

int SigmaLHAProcess::nFinal() const {

  // At initialization size unknown, so return 0.
  if (lhaUpPtr->sizePart() <= 0) return 0;

  // Sum up all particles that has first mother = 1.
  int nFin = 0;
  for (int i = 3; i < lhaUpPtr->sizePart(); ++i)
    if (lhaUpPtr->mother1(i) == 1) ++nFin;
  return nFin;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/ProcessLevel.cc0000644000175000017500000014460612357054762016071 0ustar  sunsun// ProcessLevel.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the ProcessLevel class.

#include "Pythia8/ProcessLevel.h"

namespace Pythia8 {
 
//==========================================================================

// The ProcessLevel class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Allow a few failures in final construction of events.
const int ProcessLevel::MAXLOOP = 5;

//--------------------------------------------------------------------------
  
// Destructor.

ProcessLevel::~ProcessLevel() {

  // Run through list of first hard processes and delete them.
  for (int i = 0; i < int(containerPtrs.size()); ++i)
    delete containerPtrs[i];

  // Run through list of second hard processes and delete them.
  for (int i = 0; i < int(container2Ptrs.size()); ++i)
    delete container2Ptrs[i];

}

//--------------------------------------------------------------------------

// Main routine to initialize generation process.

bool ProcessLevel::init( Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
  BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
  Couplings* couplingsPtrIn, SigmaTotal* sigmaTotPtrIn, bool doLHA,
  SLHAinterface* slhaInterfacePtrIn, UserHooks* userHooksPtrIn,
  vector& sigmaPtrs, ostream& os) {

  // Store input pointers for future use.
  infoPtr          = infoPtrIn;
  particleDataPtr  = particleDataPtrIn;
  rndmPtr          = rndmPtrIn;
  beamAPtr         = beamAPtrIn;
  beamBPtr         = beamBPtrIn;
  couplingsPtr     = couplingsPtrIn;
  sigmaTotPtr      = sigmaTotPtrIn;
  userHooksPtr     = userHooksPtrIn;
  slhaInterfacePtr = slhaInterfacePtrIn;

  // Send on some input pointers.
  resonanceDecays.init( infoPtr, particleDataPtr, rndmPtr);

  // Set up SigmaTotal. Store sigma_nondiffractive for future use.
  sigmaTotPtr->init( infoPtr, settings, particleDataPtr);
  int    idA = infoPtr->idA();
  int    idB = infoPtr->idB();
  double eCM = infoPtr->eCM();
  sigmaTotPtr->calc( idA, idB, eCM);
  sigmaND = sigmaTotPtr->sigmaND();

  // Options to allow second hard interaction and resonance decays.
  doSecondHard  = settings.flag("SecondHard:generate");
  doSameCuts    = settings.flag("PhaseSpace:sameForSecond");
  doResDecays   = settings.flag("ProcessLevel:resonanceDecays");
  startColTag   = settings.mode("Event:startColTag");

  // Second interaction not to be combined with biased phase space.
  if (doSecondHard && userHooksPtr != 0
  && userHooksPtr->canBiasSelection()) {
    infoPtr->errorMsg("Error in ProcessLevel::init: "
      "cannot combine second interaction with biased phase space");
    return false;
  }

  // Mass and pT cuts for two hard processes.
  mHatMin1      = settings.parm("PhaseSpace:mHatMin");
  mHatMax1      = settings.parm("PhaseSpace:mHatMax");
  if (mHatMax1 < mHatMin1) mHatMax1 = eCM;
  pTHatMin1     = settings.parm("PhaseSpace:pTHatMin");
  pTHatMax1     = settings.parm("PhaseSpace:pTHatMax");
  if (pTHatMax1 < pTHatMin1) pTHatMax1 = eCM;
  mHatMin2      = settings.parm("PhaseSpace:mHatMinSecond");
  mHatMax2      = settings.parm("PhaseSpace:mHatMaxSecond");
  if (mHatMax2 < mHatMin2) mHatMax2 = eCM;
  pTHatMin2     = settings.parm("PhaseSpace:pTHatMinSecond");
  pTHatMax2     = settings.parm("PhaseSpace:pTHatMaxSecond");
  if (pTHatMax2 < pTHatMin2) pTHatMax2 = eCM;
  
  // Check whether mass and pT ranges agree or overlap.
  cutsAgree     = doSameCuts;
  if (mHatMin2 == mHatMin1 && mHatMax2 == mHatMax1 && pTHatMin2 == pTHatMin1
      && pTHatMax2 == pTHatMax1) cutsAgree = true;
  cutsOverlap   = cutsAgree;
  if (!cutsAgree) {
    bool mHatOverlap = (max( mHatMin1, mHatMin2)
                      < min( mHatMax1, mHatMax2));
    bool pTHatOverlap = (max( pTHatMin1, pTHatMin2)
                       < min( pTHatMax1, pTHatMax2));
    if (mHatOverlap && pTHatOverlap) cutsOverlap = true;
  }

  // Set up containers for all the internal hard processes.
  SetupContainers setupContainers;
  setupContainers.init(containerPtrs, infoPtr, settings, particleDataPtr,
		       couplingsPtr);

  // Append containers for external hard processes, if any.
  if (sigmaPtrs.size() > 0) {
    for (int iSig = 0; iSig < int(sigmaPtrs.size()); ++iSig)
      containerPtrs.push_back( new ProcessContainer(sigmaPtrs[iSig],
      true) );
  }

  // Append single container for Les Houches processes, if any.
  if (doLHA) {
    SigmaProcess* sigmaPtr = new SigmaLHAProcess();
    containerPtrs.push_back( new ProcessContainer(sigmaPtr) );

    // Store location of this container, and send in LHA pointer.
    iLHACont = containerPtrs.size() - 1;
    containerPtrs[iLHACont]->setLHAPtr(lhaUpPtr);
  }

  // If no processes found then refuse to do anything.
  if ( int(containerPtrs.size()) == 0) {
    infoPtr->errorMsg("Error in ProcessLevel::init: "
      "no process switched on");
    return false;
  }

  // Check whether pT-based weighting in 2 -> 2 is requested.
  if (settings.flag("PhaseSpace:bias2Selection")) {
    bool bias2Sel = false;
    if (sigmaPtrs.size() == 0 && !doLHA && !doSecondHard) {
      bias2Sel = true;
      for (int i = 0; i < int(containerPtrs.size()); ++i) {
        if (containerPtrs[i]->nFinal() != 2) bias2Sel = false;
        int code = containerPtrs[i]->code();
        if (code > 100 && code < 110) bias2Sel = false;
      }
    }
    if (!bias2Sel) {
      infoPtr->errorMsg("Error in ProcessLevel::init: "
        "requested event weighting not possible");
      return false;
    }
  }

  // Check that SUSY couplings were indeed initialized where necessary.
  bool hasSUSY = false;
  for (int i = 0; i < int(containerPtrs.size()); ++i)
    if (containerPtrs[i]->isSUSY()) hasSUSY = true;

  // If SUSY processes requested but no SUSY couplings present
  if(hasSUSY && !couplingsPtr->isSUSY) {
    infoPtr->errorMsg("Error in ProcessLevel::init: "
      "SUSY process switched on but no SUSY couplings found");
    return false;
  }

  // Fill SLHA blocks SMINPUTS and MASS from PYTHIA SM parameter values.
  slhaInterfacePtr->pythia2slha(particleDataPtr);

  // Initialize each process.
  int numberOn = 0;
  for (int i = 0; i < int(containerPtrs.size()); ++i)
    if (containerPtrs[i]->init(true, infoPtr, settings, particleDataPtr,
      rndmPtr, beamAPtr, beamBPtr, couplingsPtr, sigmaTotPtr,
      &resonanceDecays, slhaInterfacePtr, userHooksPtr)) ++numberOn;

  // Sum maxima for Monte Carlo choice.
  sigmaMaxSum = 0.;
  for (int i = 0; i < int(containerPtrs.size()); ++i)
    sigmaMaxSum += containerPtrs[i]->sigmaMax();

  // Option to pick a second hard interaction: repeat as above.
  int number2On = 0;
  if (doSecondHard) {
    setupContainers.init2(container2Ptrs, settings);
    if ( int(container2Ptrs.size()) == 0) {
      infoPtr->errorMsg("Error in ProcessLevel::init: "
        "no second hard process switched on");
      return false;
    }
    for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
      if (container2Ptrs[i2]->init(false, infoPtr, settings, particleDataPtr,
        rndmPtr, beamAPtr, beamBPtr, couplingsPtr, sigmaTotPtr,
        &resonanceDecays, slhaInterfacePtr, userHooksPtr)) ++number2On;
    sigma2MaxSum = 0.;
    for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
      sigma2MaxSum += container2Ptrs[i2]->sigmaMax();
  }

  // Printout during initialization is optional.
  if (settings.flag("Init:showProcesses")) {

    // Construct string with incoming beams and for cm energy.
    string collision = "We collide " + particleDataPtr->name(idA)
      + " with " + particleDataPtr->name(idB) + " at a CM energy of ";
    string pad( 51 - collision.length(), ' ');

    // Print initialization information: header.
    os << "\n *-------  PYTHIA Process Initialization  ---------"
       << "-----------------*\n"
       << " |                                                   "
       << "               |\n"
       << " | " << collision << scientific << setprecision(3)
       << setw(9) << eCM << " GeV" << pad << " |\n"
       << " |                                                   "
       << "               |\n"
       << " |---------------------------------------------------"
       << "---------------|\n"
       << " |                                                   "
       << " |             |\n"
       << " | Subprocess                                    Code"
       << " |   Estimated |\n"
       << " |                                                   "
       << " |    max (mb) |\n"
       << " |                                                   "
       << " |             |\n"
       << " |---------------------------------------------------"
       << "---------------|\n"
       << " |                                                   "
       << " |             |\n";

    // Loop over existing processes: print individual process info.
    map sigmaMaxM;
    map nameM;
    for (int i = 0; i < int(containerPtrs.size()); ++i) {
      int code = containerPtrs[i]->code();
      nameM[code] = containerPtrs[i]->name();
      sigmaMaxM[code] = containerPtrs[i]->sigmaMax() > sigmaMaxM[code] ?
	containerPtrs[i]->sigmaMax() : sigmaMaxM[code];
    }
    for (map::iterator i = nameM.begin(); i != nameM.end(); ++i)
      os << " | " << left << setw(45) << i->second
	 << right << setw(5) << i->first << " | "
	 << scientific << setprecision(3) << setw(11)
	 << sigmaMaxM[i->first] << " |\n";

    // Loop over second hard processes, if any, and repeat as above.
    if (doSecondHard) {
      os << " |                                                   "
         << " |             |\n"
         << " |---------------------------------------------------"
         <<"---------------|\n"
         << " |                                                   "
         <<" |             |\n";
      sigmaMaxM.clear();
      nameM.clear();
      for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2) {
	int code = container2Ptrs[i2]->code();
	nameM[code] = container2Ptrs[i2]->name();
	sigmaMaxM[code] = container2Ptrs[i2]->sigmaMax() > sigmaMaxM[code] ?
	  container2Ptrs[i2]->sigmaMax() : sigmaMaxM[code];
      }
      for (map::iterator i2 = nameM.begin(); i2 != nameM.end();
	   ++i2)
	os << " | " << left << setw(45) << i2->second
	   << right << setw(5) << i2->first << " | "
	   << scientific << setprecision(3) << setw(11)
	   << sigmaMaxM[i2->first] << " |\n";
    }

    // Listing finished.
    os << " |                                                     "
       << "             |\n"
       << " *-------  End PYTHIA Process Initialization ----------"
       <<"-------------*" << endl;
  }

  // If sum of maxima vanishes then refuse to do anything.
  if ( numberOn == 0  || sigmaMaxSum <= 0.) {
    infoPtr->errorMsg("Error in ProcessLevel::init: "
      "all processes have vanishing cross sections");
    return false;
  }
  if ( doSecondHard && (number2On == 0  || sigma2MaxSum <= 0.) ) {
    infoPtr->errorMsg("Error in ProcessLevel::init: "
      "all second hard processes have vanishing cross sections");
    return false;
  }
  
  // If two hard processes then check whether some (but not all) agree.
  allHardSame  = true;
  noneHardSame = true;
  if (doSecondHard) {
    bool foundMatch = false;
    
    // Check for each first process if matched in second.
    for (int i = 0; i < int(containerPtrs.size()); ++i) {
      foundMatch = false;
      if (cutsOverlap)
      for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
        if (container2Ptrs[i2]->code() == containerPtrs[i]->code())
          foundMatch = true;
      containerPtrs[i]->isSame( foundMatch );
      if (!foundMatch)  allHardSame = false;
      if ( foundMatch) noneHardSame = false;
    }

    // Check for each second process if matched in first.
    for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2) {
      foundMatch = false;
      if (cutsOverlap)
      for (int i = 0; i < int(containerPtrs.size()); ++i)
        if (containerPtrs[i]->code() == container2Ptrs[i2]->code())
          foundMatch = true;
      container2Ptrs[i2]->isSame( foundMatch );
      if (!foundMatch)  allHardSame = false;
      if ( foundMatch) noneHardSame = false;
    }
  }

  // Concluding classification, including cuts.
  if (!cutsAgree) allHardSame = false;
  someHardSame = !allHardSame && !noneHardSame;

  // Reset counters for average impact-parameter enhancement.
  nImpact       = 0;
  sumImpactFac  = 0.;
  sum2ImpactFac = 0.;

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Main routine to generate the hard process.

bool ProcessLevel::next( Event& process) {

  // Generate the next event with two or one hard interactions.
  bool physical = (doSecondHard) ? nextTwo( process) : nextOne( process);

  // Check that colour assignments make sense.
  if (physical) physical = checkColours( process);

  // Done.
  return physical;
}

//--------------------------------------------------------------------------

// Generate (= read in) LHA input of resonance decay only.
  
bool ProcessLevel::nextLHAdec( Event& process) {
 
  // Read resonance decays from LHA interface.
  infoPtr->setEndOfFile(false);
  if (!lhaUpPtr->setEvent()) {
    infoPtr->setEndOfFile(true);
    return false;
  }

  // Store LHA output in standard event record format.
  containerLHAdec.constructDecays( process);

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Accumulate and update statistics (after possible user veto).
  
void ProcessLevel::accumulate() {

  // Increase number of accepted events.
  containerPtrs[iContainer]->accumulate();

  // Provide current generated cross section estimate.
  long   nTrySum    = 0;
  long   nSelSum    = 0;
  long   nAccSum    = 0;
  double sigmaSum   = 0.;
  double delta2Sum  = 0.;
  double sigSelSum  = 0.;
  double weightSum  = 0.;
  int    codeNow;
  long   nTryNow, nSelNow, nAccNow;
  double sigmaNow, deltaNow, sigSelNow, weightNow;
  map duplicate;
  for (int i = 0; i < int(containerPtrs.size()); ++i)
  if (containerPtrs[i]->sigmaMax() != 0.) {
    codeNow         = containerPtrs[i]->code();
    nTryNow         = containerPtrs[i]->nTried();
    nSelNow         = containerPtrs[i]->nSelected();
    nAccNow         = containerPtrs[i]->nAccepted();
    sigmaNow        = containerPtrs[i]->sigmaMC();
    deltaNow        = containerPtrs[i]->deltaMC();
    sigSelNow       = containerPtrs[i]->sigmaSelMC();
    weightNow       = containerPtrs[i]->weightSum();
    nTrySum        += nTryNow;
    nSelSum        += nSelNow;
    nAccSum        += nAccNow;
    sigmaSum       += sigmaNow;
    delta2Sum      += pow2(deltaNow);
    sigSelSum      += sigSelNow;
    weightSum      += weightNow;
    if (!doSecondHard) { 
      if (!duplicate[codeNow])
	infoPtr->setSigma( codeNow, containerPtrs[i]->name(),
	  nTryNow, nSelNow, nAccNow, sigmaNow, deltaNow, weightNow);
      else
      	infoPtr->addSigma( codeNow, nTryNow, nSelNow, nAccNow, sigmaNow,
      	  deltaNow);
      duplicate[codeNow] = true;
    }
  }

  // Normally only one hard interaction. Then store info and done.
  if (!doSecondHard) {
    double deltaSum = sqrtpos(delta2Sum);
    infoPtr->setSigma( 0, "sum", nTrySum, nSelSum, nAccSum, sigmaSum, deltaSum,
      weightSum);
    return;
  }

  // Increase counter for a second hard interaction.
  container2Ptrs[i2Container]->accumulate();

  // Update statistics on average impact factor.
  ++nImpact;
  sumImpactFac     += infoPtr->enhanceMPI();
  sum2ImpactFac    += pow2(infoPtr->enhanceMPI());

  // Cross section estimate for second hard process.
  double sigma2Sum  = 0.;
  double sig2SelSum = 0.;
  for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
  if (container2Ptrs[i2]->sigmaMax() != 0.) {
    nTrySum        += container2Ptrs[i2]->nTried();
    sigma2Sum      += container2Ptrs[i2]->sigmaMC();
    sig2SelSum     += container2Ptrs[i2]->sigmaSelMC();
  }

  // Average impact-parameter factor and error.
  double invN       = 1. / max(1, nImpact);
  double impactFac  = max( 1., sumImpactFac * invN);
  double impactErr2 = ( sum2ImpactFac * invN / pow2(impactFac) - 1.) * invN;
     
  // Cross section estimate for combination of first and second process.
  // Combine two possible ways and take average.
  double sigmaComb  = 0.5 * (sigmaSum * sig2SelSum + sigSelSum * sigma2Sum);
  sigmaComb        *= impactFac / sigmaND;
  if (allHardSame) sigmaComb *= 0.5;
  double deltaComb  = sqrtpos(2. / nAccSum + impactErr2) * sigmaComb;

  // Store info and done.
  infoPtr->setSigma( 0, "sum", nTrySum, nSelSum, nAccSum, sigmaComb, deltaComb,
    weightSum);
 
}

//--------------------------------------------------------------------------

// Print statistics on cross sections and number of events.

void ProcessLevel::statistics(bool reset, ostream& os) {

  // Special processing if two hard interactions selected.
  if (doSecondHard) {
    statistics2(reset, os);
    return;
  }
    
  // Header.
  os << "\n *-------  PYTHIA Event and Cross Section Statistics  ------"
     << "-------------------------------------------------------*\n"
     << " |                                                            "
     << "                                                     |\n"
     << " | Subprocess                                    Code |       "
     << "     Number of events       |      sigma +- delta    |\n"
     << " |                                                    |       "
     << "Tried   Selected   Accepted |     (estimated) (mb)   |\n"
     << " |                                                    |       "
     << "                            |                        |\n"
     << " |------------------------------------------------------------"
     << "-----------------------------------------------------|\n"
     << " |                                                    |       "
     << "                            |                        |\n";

  // Reset sum counters.
  long   nTrySum   = 0;
  long   nSelSum   = 0;
  long   nAccSum   = 0;
  double sigmaSum  = 0.;
  double delta2Sum = 0.;

  // Reset process maps.
  map nameM;
  map nTryM, nSelM, nAccM;
  map sigmaM, delta2M;
  vector lheContainerPtrs;

  // Loop over existing processes.
  for (int i = 0; i < int(containerPtrs.size()); ++i)
  if (containerPtrs[i]->sigmaMax() != 0.) {

    // Read info for process. Sum counters.
    nTrySum       += containerPtrs[i]->nTried();
    nSelSum       += containerPtrs[i]->nSelected();
    nAccSum       += containerPtrs[i]->nAccepted();
    sigmaSum      += containerPtrs[i]->sigmaMC();
    delta2Sum     += pow2(containerPtrs[i]->deltaMC());

    // Skip Les Houches containers.
    if (containerPtrs[i]->code() == 9999) {
      lheContainerPtrs.push_back(containerPtrs[i]);
      continue;
    }
    
    // Internal process info.
    int code = containerPtrs[i]->code();
    nameM[code]   = containerPtrs[i]->name();
    nTryM[code]  += containerPtrs[i]->nTried();
    nSelM[code]  += containerPtrs[i]->nSelected();
    nAccM[code]  += containerPtrs[i]->nAccepted();
    sigmaM[code] += containerPtrs[i]->sigmaMC();
    delta2M[code]+= pow2(containerPtrs[i]->deltaMC());
  }

  // Print internal process info.
  for (map::iterator i = nameM.begin(); i != nameM.end(); ++i) {
    int code = i->first;
    os << " | " << left << setw(45) << i->second
       << right << setw(5) << code << " | "
       << setw(11) << nTryM[code] << " " << setw(10) << nSelM[code] << " "
       << setw(10) << nAccM[code] << " | " << scientific << setprecision(3)
       << setw(11) << sigmaM[code] 
       << setw(11) << sqrtpos(delta2M[code]) << " |\n";
  }

  // Print Les Houches process info.
  for (int i = 0; i < int(lheContainerPtrs.size()); ++i) {
    ProcessContainer *ptr = lheContainerPtrs[i];
    os << " | " << left << setw(45) << ptr->name()
       << right << setw(5) << ptr->code() << " | "
       << setw(11) << ptr->nTried() << " " << setw(10) << ptr->nSelected() 
       << " " << setw(10) << ptr->nAccepted() << " | " << scientific 
       << setprecision(3) << setw(11) << ptr->sigmaMC() << setw(11) 
       << ptr->deltaMC() << " |\n";

    // Print subdivision by user code for Les Houches process.
    for (int j = 0; j < ptr->codeLHASize(); ++j)
      os << " |    ... whereof user classification code " << setw(10)
         << ptr->subCodeLHA(j) << " | " << setw(11) << ptr->nTriedLHA(j) 
         << " " << setw(10) << ptr->nSelectedLHA(j) << " " << setw(10) 
         << ptr->nAcceptedLHA(j) << " |                        | \n";
  }

  // Print summed process info.
  os << " |                                                    |       "
     << "                            |                        |\n"
     << " | " << left << setw(50) << "sum" << right << " | " << setw(11)
     << nTrySum << " " << setw(10) << nSelSum << " " << setw(10)
     << nAccSum << " | " << scientific << setprecision(3) << setw(11)
     << sigmaSum << setw(11) << sqrtpos(delta2Sum) << " |\n";

  // Listing finished.
  os << " |                                                            "
     << "                                                     |\n"
     << " *-------  End PYTHIA Event and Cross Section Statistics -----"
     << "-----------------------------------------------------*" << endl;

  // Optionally reset statistics contants.
  if (reset) resetStatistics();

}

//--------------------------------------------------------------------------

// Reset statistics on cross sections and number of events.

void ProcessLevel::resetStatistics() {

  for (int i = 0; i < int(containerPtrs.size()); ++i)
    containerPtrs[i]->reset();
  if (doSecondHard)
  for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
    container2Ptrs[i2]->reset();

}

//--------------------------------------------------------------------------

// Generate the next event with one interaction.
  
bool ProcessLevel::nextOne( Event& process) {
  
  // Update CM energy for phase space selection.
  double eCM = infoPtr->eCM();
  for (int i = 0; i < int(containerPtrs.size()); ++i)
    containerPtrs[i]->newECM(eCM);

  // Outer loop in case of rare failures.
  bool physical = true;
  for (int loop = 0; loop < MAXLOOP; ++loop) {
    if (!physical) process.clear();
    physical = true;

    // Loop over tries until trial event succeeds.
    for ( ; ; ) {

      // Pick one of the subprocesses.
      double sigmaMaxNow = sigmaMaxSum * rndmPtr->flat();
      int iMax = containerPtrs.size() - 1;
      iContainer = -1;
      do sigmaMaxNow -= containerPtrs[++iContainer]->sigmaMax();
      while (sigmaMaxNow > 0. && iContainer < iMax);

      // Do a trial event of this subprocess; accept or not.
      if (containerPtrs[iContainer]->trialProcess()) break;

      // Check for end-of-file condition for Les Houches events.
      if (infoPtr->atEndOfFile()) return false;
    }

    // Update sum of maxima if current maximum violated.
    if (containerPtrs[iContainer]->newSigmaMax()) {
      sigmaMaxSum = 0.;
      for (int i = 0; i < int(containerPtrs.size()); ++i)
        sigmaMaxSum += containerPtrs[i]->sigmaMax();
    }

    // Construct kinematics of acceptable process.
    containerPtrs[iContainer]->constructState();
    if ( !containerPtrs[iContainer]->constructProcess( process) )
      physical = false;

    // Do all resonance decays.
    if ( physical && doResDecays
      && !containerPtrs[iContainer]->decayResonances( process) )
      physical = false;

    // Add any junctions to the process event record list.
    if (physical) findJunctions( process);

    // Outer loop should normally work first time around.
    if (physical) break;
  }

  // Done.
  return physical;
}

//--------------------------------------------------------------------------

// Generate the next event with two hard interactions.
  
bool ProcessLevel::nextTwo( Event& process) {
  
  // Update CM energy for phase space selection.
  double eCM = infoPtr->eCM();
  for (int i = 0; i < int(containerPtrs.size()); ++i)
    containerPtrs[i]->newECM(eCM);
  for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
    container2Ptrs[i2]->newECM(eCM);

  // Outer loop in case of rare failures.
  bool physical = true;
  for (int loop = 0; loop < MAXLOOP; ++loop) {
    if (!physical) process.clear();
    physical = true;

    // Loop over both hard processes to find consistent common kinematics.
    for ( ; ; ) {
   
      // Loop internally over tries for hardest process until succeeds.
      for ( ; ; ) {

        // Pick one of the subprocesses.
        double sigmaMaxNow = sigmaMaxSum * rndmPtr->flat();
        int iMax = containerPtrs.size() - 1;
        iContainer = -1;
        do sigmaMaxNow -= containerPtrs[++iContainer]->sigmaMax();
        while (sigmaMaxNow > 0. && iContainer < iMax);
      
        // Do a trial event of this subprocess; accept or not.
        if (containerPtrs[iContainer]->trialProcess()) break;

        // Check for end-of-file condition for Les Houches events.
        if (infoPtr->atEndOfFile()) return false;
      }

      // Update sum of maxima if current maximum violated.
      if (containerPtrs[iContainer]->newSigmaMax()) {
        sigmaMaxSum = 0.;
        for (int i = 0; i < int(containerPtrs.size()); ++i)
          sigmaMaxSum += containerPtrs[i]->sigmaMax();
      }

      // Loop internally over tries for second hardest process until succeeds.
      for ( ; ; ) {

        // Pick one of the subprocesses.
        double sigma2MaxNow = sigma2MaxSum * rndmPtr->flat();
        int i2Max = container2Ptrs.size() - 1;
        i2Container = -1;
        do sigma2MaxNow -= container2Ptrs[++i2Container]->sigmaMax();
        while (sigma2MaxNow > 0. && i2Container < i2Max);
    
        // Do a trial event of this subprocess; accept or not.
        if (container2Ptrs[i2Container]->trialProcess()) break;
      }

      // Update sum of maxima if current maximum violated.
      if (container2Ptrs[i2Container]->newSigmaMax()) {
        sigma2MaxSum = 0.;
        for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
          sigma2MaxSum += container2Ptrs[i2]->sigmaMax();
      }

      // Pick incoming flavours (etc), needed for PDF reweighting.
      containerPtrs[iContainer]->constructState();
      container2Ptrs[i2Container]->constructState();

      // Check whether common set of x values is kinematically possible.
      double xA1      = containerPtrs[iContainer]->x1();
      double xB1      = containerPtrs[iContainer]->x2();
      double xA2      = container2Ptrs[i2Container]->x1();
      double xB2      = container2Ptrs[i2Container]->x2();
      if (xA1 + xA2 >= 1. || xB1 + xB2 >= 1.) continue;

      // Reset beam contents. Naive parton densities for second interaction.
      // (Subsequent procedure could be symmetrized, but would be overkill.)
      beamAPtr->clear();
      beamBPtr->clear();
      int    idA1     = containerPtrs[iContainer]->id1();
      int    idB1     = containerPtrs[iContainer]->id2();
      int    idA2     = container2Ptrs[i2Container]->id1();
      int    idB2     = container2Ptrs[i2Container]->id2();
      double Q2Fac1   = containerPtrs[iContainer]->Q2Fac();
      double Q2Fac2   = container2Ptrs[i2Container]->Q2Fac();
      double pdfA2Raw = beamAPtr->xf( idA2, xA2,Q2Fac2);
      double pdfB2Raw = beamBPtr->xf( idB2, xB2,Q2Fac2);

      // Remove partons in first interaction from beams.
      beamAPtr->append( 3, idA1, xA1);
      beamAPtr->xfISR( 0, idA1, xA1, Q2Fac1);
      beamAPtr->pickValSeaComp();
      beamBPtr->append( 4, idB1, xB1);
      beamBPtr->xfISR( 0, idB1, xB1, Q2Fac1);
      beamBPtr->pickValSeaComp();

      // Reevaluate pdf's for second interaction and weight by reduction.
      double pdfA2Mod = beamAPtr->xfMPI( idA2, xA2,Q2Fac2);
      double pdfB2Mod = beamBPtr->xfMPI( idB2, xB2,Q2Fac2);
      double wtPdfMod = (pdfA2Mod * pdfB2Mod) / (pdfA2Raw * pdfB2Raw);
      if (wtPdfMod < rndmPtr->flat()) continue;

      // Reduce by a factor of 2 for identical processes when others not,
      // and when in same phase space region.
      bool toLoop = false;
      if ( someHardSame && containerPtrs[iContainer]->isSame()
        && container2Ptrs[i2Container]->isSame()) {
        if (cutsAgree) {
          if (rndmPtr->flat() > 0.5) toLoop = true;
        } else {
        double mHat1 = containerPtrs[iContainer]->mHat();
        double pTHat1 = containerPtrs[iContainer]->pTHat();
        double mHat2 = container2Ptrs[i2Container]->mHat();
        double pTHat2 = container2Ptrs[i2Container]->pTHat();
        if (mHat1 > mHatMin2 && mHat1 < mHatMax2
           && pTHat1 > pTHatMin2 && pTHat1 < pTHatMax2
           && mHat2 > mHatMin1 && mHat2 < mHatMax1
           && pTHat2 > pTHatMin1 && pTHat2 < pTHatMax1
           && rndmPtr->flat() > 0.5) toLoop = true;
        }
      }
      if (toLoop) continue;

      // If come this far then acceptable event.
      break;
    }

    // Construct kinematics of acceptable processes.
    Event process2;
    process2.init( "(second hard)", particleDataPtr, startColTag);
    process2.initColTag();
    if ( !containerPtrs[iContainer]->constructProcess( process) )
      physical = false;
    if (physical && !container2Ptrs[i2Container]->constructProcess( process2,
      false) ) physical = false;

    // Do all resonance decays.
    if ( physical && doResDecays
      &&  !containerPtrs[iContainer]->decayResonances( process) )
      physical = false;
    if ( physical && doResDecays
      &&  !container2Ptrs[i2Container]->decayResonances( process2) )
      physical = false;

    // Append second hard interaction to normal process object.
    if (physical) combineProcessRecords( process, process2);

    // Add any junctions to the process event record list.
    if (physical) findJunctions( process);

    // Outer loop should normally work first time around.
    if (physical) break;
  }

  // Done.
  return physical;
}

//--------------------------------------------------------------------------

// Append second hard interaction to normal process object.
// Complication: all resonance decay chains must be put at the end.

void ProcessLevel::combineProcessRecords( Event& process, Event& process2) {

  // Find first event record size, excluding resonances.
  int nSize = process.size();
  int nHard = 5;
  while (nHard < nSize && process[nHard].mother1() == 3) ++nHard;

  // Save resonance products temporarily elsewhere.
  vector resProd;
  if (nSize > nHard) {
    for (int i = nHard; i < nSize; ++i) resProd.push_back( process[i] );
    process.popBack(nSize - nHard);
  }

  // Find second event record size, excluding resonances.
  int nSize2 = process2.size();
  int nHard2 = 5;
  while (nHard2 < nSize2 && process2[nHard2].mother1() == 3) ++nHard2;

  // Find amount of necessary position and colour offset for second process.
  int addPos  = nHard  - 3;
  int addCol  = process.lastColTag() - startColTag;

  // Loop over all particles (except beams) from second process.
  for (int i = 3; i < nSize2; ++i) {

    // Offset mother and daughter pointers and colour tags of particle.
    process2[i].offsetHistory( 2, addPos, 2, addPos);
    process2[i].offsetCol( addCol);

    // Append hard-process particles from process2 to process.
    if (i < nHard2) process.append( process2[i] );
  }

  // Reinsert resonance decay chains of first hard process.
  int addPos2 = nHard2 - 3;
  if (nHard < nSize) {

    // Offset daughter pointers of unmoved mothers.
    for (int i = 5; i < nHard; ++i)
      process[i].offsetHistory( 0, 0, nHard - 1, addPos2);
    
    // Modify history of resonance products when restoring.
    for (int i = 0; i < int(resProd.size()); ++i) {
      resProd[i].offsetHistory( nHard - 1, addPos2, nHard - 1, addPos2);
      process.append( resProd[i] );
    }
  }

  // Insert resonance decay chains of second hard process.
  if (nHard2 < nSize2) {
    int nHard3  = nHard + nHard2 - 3;
    int addPos3 = nSize - nHard;

    // Offset daughter pointers of second-process mothers.
    for (int i = nHard + 2; i < nHard3; ++i)
      process[i].offsetHistory( 0, 0, nHard3 - 1, addPos3);
    
    // Modify history of second-process resonance products and insert.
    for (int i = nHard2; i < nSize2; ++i) {
      process2[i].offsetHistory( nHard3 - 1, addPos3, nHard3 - 1, addPos3);
      process.append( process2[i] );
    }
  }

  // Store PDF scale for second interaction.
  process.scaleSecond( process2.scale() );

}

//--------------------------------------------------------------------------

// Add any junctions to the process event record list.
// Also check that do not doublebook if called repeatedly.

void ProcessLevel::findJunctions( Event& junEvent) {

  // Check all hard vertices for BNV
  for (int i = 1; i motherList   = junEvent.motherList(i);
    int iMot1 = motherList[0];
    vector sisterList = junEvent.daughterList(iMot1);
    
    // Check baryon number of vertex.
    int barSum = 0;
    map colVertex, acolVertex;
    
    // Loop over mothers (enter with crossed colors and negative sign).
    for (unsigned int indx = 0; indx < motherList.size(); indx++) {
      int iMot = motherList[indx];
      if ( abs(junEvent[iMot].colType()) == 1 )
        barSum -= junEvent[iMot].colType();
      else if ( abs(junEvent[iMot].colType()) == 3)
        barSum -= 2*junEvent[iMot].colType()/3;
      int col  = junEvent[iMot].acol();
      int acol  = junEvent[iMot].col();
      
      // If unmatched (so far), add end. Else erase matching parton.
      if (col > 0) {
        if (acolVertex.find(col) == acolVertex.end() ) colVertex[col] = iMot;
        else acolVertex.erase(col);
      } else if (col < 0) {
        if (colVertex.find(-col) == colVertex.end() ) acolVertex[-col] = iMot;
        else colVertex.erase(-col);
      }
      if (acol > 0) {
        if (colVertex.find(acol) == colVertex.end()) acolVertex[acol] = iMot;
        else colVertex.erase(acol);
      } else if (acol < 0) {
        if (acolVertex.find(-acol) == acolVertex.end())
             colVertex[-acol] = iMot;
        else acolVertex.erase(-acol);
      }
    }

    // Loop over sisters.
    for (unsigned int indx = 0; indx < sisterList.size(); indx++) {
      int iDau = sisterList[indx];
      if ( abs(junEvent[iDau].colType()) == 1 )
        barSum += junEvent[iDau].colType();
      else if ( abs(junEvent[iDau].colType()) == 3)
        barSum += 2*junEvent[iDau].colType()/3;
      int col  = junEvent[iDau].col();
      int acol  = junEvent[iDau].acol();
      
      // If unmatched (so far), add end. Else erase matching parton.
      if (col > 0) {
        if (acolVertex.find(col) == acolVertex.end() ) colVertex[col] = iDau;
        else acolVertex.erase(col);
      } else if (col < 0) {
        if (colVertex.find(-col) == colVertex.end() ) acolVertex[-col] = iDau;
        else colVertex.erase(-col);
      }
      if (acol > 0) {
        if (colVertex.find(acol) == colVertex.end()) acolVertex[acol] = iDau;
        else colVertex.erase(acol);
      } else if (acol < 0) {
        if (acolVertex.find(-acol) == acolVertex.end())
             colVertex[-acol] = iDau;
        else acolVertex.erase(-acol);
      }
    
    }

    // Skip if baryon number conserved in this vertex.
    if (barSum == 0) continue;

    // Check and skip any junctions that have already been added.
    for (int iJun = 0; iJun < junEvent.sizeJunction(); ++iJun) {
      // Remove the tags corresponding to each of the 3 existing junction legs.
      for (int j = 0; j < 3; ++j) {
        int colNow = junEvent.colJunction(iJun, j);
        if (junEvent.kindJunction(iJun) % 2 == 1) colVertex.erase(colNow);
        else acolVertex.erase(colNow);
      }
    }

    // Skip if no junction colors remain.
    if (colVertex.size() == 0 && acolVertex.size() == 0) continue;

    // If baryon number violated, is B = +1 or -1 (larger values not handled).
    int kindJun = 0;
    if (colVertex.size() == 3 && acolVertex.size() == 0) kindJun = 1;
    else if (colVertex.size() == 0 && acolVertex.size() == 3) kindJun = 2;
    else {
      infoPtr->errorMsg("Error in ProcessLevel::findJunctions: "
                        "N(unmatched (anti)colour tags) != 3");
      return;
    }

    // From now on, use colJun as shorthand for colVertex or acolVertex.
    map colJun = (kindJun == 1) ? colVertex : acolVertex;

    // Order so incoming tags appear first in colVec, outgoing tags last.
    vector colVec;
    for (map::iterator it = colJun.begin();
         it != colJun.end(); it++) {
      int col  = it->first;
      int iCol = it->second;
      for (unsigned int indx = 0; indx < motherList.size(); indx++) {
        if (iCol == motherList[indx]) {
          kindJun += 2;
          colVec.insert(colVec.begin(),col);
        }
      }
      if (colVec.size() == 0 || colVec[0] != col) colVec.push_back(col);
    }

    // Add junction with these tags.
    junEvent.appendJunction( kindJun, colVec[0], colVec[1], colVec[2]);

  }
  
}
//--------------------------------------------------------------------------

// Check that colours match up.

bool ProcessLevel::checkColours( Event& process) {

  // Variables and arrays for common usage.
  bool physical = true;
  bool match;
  int colType, col, acol, iPos, iNow, iNowA;
  vector colTags, colPos, acolPos;

  // Check that each particle has the kind of colours expected of it.
  for (int i = 0; i < process.size(); ++i) {
    colType = process[i].colType();
    col     = process[i].col();
    acol    = process[i].acol();
    if      (colType ==  0 && (col != 0 || acol != 0)) physical = false;
    else if (colType ==  1 && (col <= 0 || acol != 0)) physical = false;
    else if (colType == -1 && (col != 0 || acol <= 0)) physical = false;
    else if (colType ==  2 && (col <= 0 || acol <= 0)) physical = false;
    // Preparations for colour-sextet assignments
    // (colour,colour) = (colour,negative anticolour)
    else if (colType ==  3 && (col <= 0 || acol >= 0)) physical = false;
    else if (colType == -3 && (col >= 0 || acol <= 0)) physical = false;
    // All other cases
    else if (colType < -1 || colType > 3)              physical = false;

    // Add to the list of colour tags.
    if (col > 0) {
      match = false;
      for (int ic = 0; ic < int(colTags.size()) ; ++ic)
        if (col == colTags[ic]) match = true;
      if (!match) colTags.push_back(col);
    } else if (acol > 0) {
      match = false;
      for (int ic = 0; ic < int(colTags.size()) ; ++ic)
        if (acol == colTags[ic]) match = true;
      if (!match) colTags.push_back(acol);
    }
    // Colour sextets : map negative colour -> anticolour and vice versa
    else if (col < 0) {
      match = false;
      for (int ic = 0; ic < int(colTags.size()) ; ++ic)
        if (-col == colTags[ic]) match = true;
      if (!match) colTags.push_back(-col);
    } else if (acol < 0) {
      match = false;
      for (int ic = 0; ic < int(colTags.size()) ; ++ic)
        if (-acol == colTags[ic]) match = true;
      if (!match) colTags.push_back(-acol);
    }
  }

  // Warn and give up if particles did not have the expected colours.
  if (!physical) {
    infoPtr->errorMsg("Error in ProcessLevel::checkColours: "
      "incorrect colour assignment");
    return false;
  }

  // Remove (anti)colours coming from an (anti)junction.
  for (int iJun = 0; iJun < process.sizeJunction(); ++iJun) {
    for (int j = 0; j < 3; ++j) {
      int colJun = process.colJunction(iJun, j);
      for (int ic = 0; ic < int(colTags.size()) ; ++ic)
        if (colJun == colTags[ic]) {
          colTags[ic] = colTags[colTags.size() - 1];
          colTags.pop_back();
          break;
        }
    }
  }

  // Loop through all colour tags and find their positions (by sign).
  for (int ic = 0; ic < int(colTags.size()); ++ic) {
    col = colTags[ic];
    colPos.resize(0);
    acolPos.resize(0);
    for (int i = 0; i < process.size(); ++i) {
      if (process[i].col() == col || process[i].acol() == -col)
        colPos.push_back(i);
      if (process[i].acol() == col || process[i].col() == -col)
        acolPos.push_back(i);
    }

    // Trace colours back through decays; remove daughters.
    while (colPos.size() > 1) {
      iPos = colPos.size() - 1;
      iNow = colPos[iPos];
      if ( process[iNow].mother1() == colPos[iPos - 1]
        && process[iNow].mother2() == 0) colPos.pop_back();
      else break;
    }
    while (acolPos.size() > 1) {
      iPos = acolPos.size() - 1;
      iNow = acolPos[iPos];
      if ( process[iNow].mother1() == acolPos[iPos - 1]
        && process[iNow].mother2() == 0) acolPos.pop_back();
      else break;
    }

    // Now colour should exist in only 2 copies.
    if (colPos.size() + acolPos.size() != 2) physical = false;

    // If both colours or both anticolours then one mother of the other.
    else if (colPos.size() == 2) {
      iNow = colPos[1];
      if ( process[iNow].mother1() != colPos[0]
        && process[iNow].mother2() != colPos[0] ) physical = false;
    }
    else if (acolPos.size() == 2) {
      iNowA = acolPos[1];
      if ( process[iNowA].mother1() != acolPos[0]
        && process[iNowA].mother2() != acolPos[0] ) physical = false;
    }
    
    // If one of each then should have same mother(s), or point to beams.
    else {
      iNow  = colPos[0];
      iNowA = acolPos[0];
      if ( process[iNow].status() == -21 &&  process[iNowA].status() == -21 );
      else if ( (process[iNow].mother1() != process[iNowA].mother1())
             || (process[iNow].mother2() != process[iNowA].mother2()) )
        physical = false;
    }

  }

  // Error message if problem found. Done.
  if (!physical) infoPtr->errorMsg("Error in ProcessLevel::checkColours: "
                   "unphysical colour flow");
  return physical;
  
}

//--------------------------------------------------------------------------

// Print statistics when two hard processes allowed.

void ProcessLevel::statistics2(bool reset, ostream& os) {

  // Average impact-parameter factor and error.
  double invN          = 1. / max(1, nImpact);
  double impactFac     = max( 1., sumImpactFac * invN);
  double impactErr2    = ( sum2ImpactFac * invN / pow2(impactFac) - 1.) * invN;

  // Derive scaling factor to be applied to first set of processes.
  double sigma2SelSum  = 0.;
  int    n2SelSum      = 0;
  for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2) {
    sigma2SelSum      += container2Ptrs[i2]->sigmaSelMC();
    n2SelSum          += container2Ptrs[i2]->nSelected();
  }
  double factor1       = impactFac * sigma2SelSum / sigmaND;
  double rel1Err       = sqrt(1. / max(1, n2SelSum) + impactErr2);
  if (allHardSame) factor1 *= 0.5;

  // Derive scaling factor to be applied to second set of processes.
  double sigma1SelSum  = 0.;
  int    n1SelSum      = 0;
  for (int i = 0; i < int(containerPtrs.size()); ++i) {
    sigma1SelSum      += containerPtrs[i]->sigmaSelMC();
    n1SelSum          += containerPtrs[i]->nSelected();
  }
  double factor2       = impactFac * sigma1SelSum / sigmaND;
  if (allHardSame) factor2 *= 0.5;
  double rel2Err       = sqrt(1. / max(1, n1SelSum) + impactErr2);
    
  // Header.
  os << "\n *-------  PYTHIA Event and Cross Section Statistics  ------"
     << "--------------------------------------------------*\n"
     << " |                                                            "
     << "                                                |\n"
     << " | Subprocess                               Code |            "
     << "Number of events       |      sigma +- delta    |\n"
     << " |                                               |       Tried"
     << "   Selected   Accepted |     (estimated) (mb)   |\n"
     << " |                                               |            "
     << "                       |                        |\n"
     << " |------------------------------------------------------------"
     << "------------------------------------------------|\n"
     << " |                                               |            "
     << "                       |                        |\n"
     << " | First hard process:                           |            "
     << "                       |                        |\n"
     << " |                                               |            "
     << "                       |                        |\n";

  // Reset sum counters.
  long   nTrySum   = 0;
  long   nSelSum   = 0;
  long   nAccSum   = 0;
  double sigmaSum  = 0.;
  double delta2Sum = 0.;

  // Reset process maps.
  map nameM;
  map nTryM, nSelM, nAccM;
  map sigmaM, delta2M;

  // Loop over existing first processes.
  for (int i = 0; i < int(containerPtrs.size()); ++i)
  if (containerPtrs[i]->sigmaMax() != 0.) {

    // Read info for process. Sum counters.
    int code = containerPtrs[i]->code();
    nTrySum       += containerPtrs[i]->nTried();
    nSelSum       += containerPtrs[i]->nSelected();
    nAccSum       += containerPtrs[i]->nAccepted();
    sigmaSum      += containerPtrs[i]->sigmaMC() * factor1;
    delta2Sum     += pow2(containerPtrs[i]->deltaMC() * factor1);
    nameM[code]    = containerPtrs[i]->name();
    nTryM[code]   += containerPtrs[i]->nTried();
    nSelM[code]   += containerPtrs[i]->nSelected();
    nAccM[code]   += containerPtrs[i]->nAccepted();
    sigmaM[code]  += containerPtrs[i]->sigmaMC() * factor1;
    delta2M[code] += pow2(containerPtrs[i]->deltaMC() * factor1);
    delta2M[code] += pow2(containerPtrs[i]->sigmaMC() * factor1 * rel1Err);
  }

  // Print first process info.
  for (map::iterator i = nameM.begin(); i != nameM.end(); ++i) {
    int code = i->first;
    os << " | " << left << setw(40) << i->second
       << right << setw(5) << code << " | "
       << setw(11) << nTryM[code] << " " << setw(10) << nSelM[code] << " "
       << setw(10) << nAccM[code] << " | " << scientific << setprecision(3)
       << setw(11) << sigmaM[code] 
       << setw(11) << sqrtpos(delta2M[code]) << " |\n";
  }
  
  // Print summed info for first processes.
  delta2Sum       += pow2( sigmaSum * rel1Err );
  os << " |                                               |            "
     << "                       |                        |\n"
     << " | " << left << setw(45) << "sum" << right << " | " << setw(11)
     << nTrySum << " " << setw(10) << nSelSum << " " << setw(10)
     << nAccSum << " | " << scientific << setprecision(3) << setw(11)
     << sigmaSum << setw(11) << sqrtpos(delta2Sum) << " |\n";
 
  // Separation lines to second hard processes.
  os << " |                                               |            "
     << "                       |                        |\n"
     << " |------------------------------------------------------------"
     << "------------------------------------------------|\n"
     << " |                                               |            "
     << "                       |                        |\n"
     << " | Second hard process:                          |            "
     << "                       |                        |\n"
     << " |                                               |            "
     << "                       |                        |\n";

  // Reset sum counters.
  nTrySum   = 0;
  nSelSum   = 0;
  nAccSum   = 0;
  sigmaSum  = 0.;
  delta2Sum = 0.;

  // Reset process maps.
  nameM.clear();
  nTryM.clear();
  nSelM.clear(); 
  nAccM.clear();
  sigmaM.clear();
  delta2M.clear();

  // Loop over existing second processes.
  for (int i2 = 0; i2 < int(container2Ptrs.size()); ++i2)
  if (container2Ptrs[i2]->sigmaMax() != 0.) {

    // Read info for process. Sum counters.
    int code = container2Ptrs[i2]->code();
    nTrySum       += container2Ptrs[i2]->nTried();
    nSelSum       += container2Ptrs[i2]->nSelected();
    nAccSum       += container2Ptrs[i2]->nAccepted();
    sigmaSum      += container2Ptrs[i2]->sigmaMC() * factor2;
    delta2Sum     += pow2(container2Ptrs[i2]->deltaMC() * factor2);
    nameM[code]    = container2Ptrs[i2]->name();
    nTryM[code]   += container2Ptrs[i2]->nTried();
    nSelM[code]   += container2Ptrs[i2]->nSelected();
    nAccM[code]   += container2Ptrs[i2]->nAccepted();
    sigmaM[code]  += container2Ptrs[i2]->sigmaMC() * factor2;
    delta2M[code] += pow2(container2Ptrs[i2]->deltaMC() * factor2);
    delta2M[code] += pow2(container2Ptrs[i2]->sigmaMC() * factor2 * rel2Err);
  }

  // Print second process info.
  for (map::iterator i2 = nameM.begin(); i2 != nameM.end(); ++i2) {
    int code = i2->first;
    os << " | " << left << setw(40) << i2->second
       << right << setw(5) << code << " | "
       << setw(11) << nTryM[code] << " " << setw(10) << nSelM[code] << " "
       << setw(10) << nAccM[code] << " | " << scientific << setprecision(3)
       << setw(11) << sigmaM[code] 
       << setw(11) << sqrtpos(delta2M[code]) << " |\n";
  }

  // Print summed info for second processes.
  delta2Sum       += pow2( sigmaSum * rel2Err );
  os << " |                                               |            "
     << "                       |                        |\n"
     << " | " << left << setw(45) << "sum" << right << " | " << setw(11)
     << nTrySum << " " << setw(10) << nSelSum << " " << setw(10)
     << nAccSum << " | " << scientific << setprecision(3) << setw(11)
     << sigmaSum << setw(11) << sqrtpos(delta2Sum) << " |\n";

  // Print information on how the two processes were combined.
  os << " |                                               |            "
     << "                       |                        |\n"
     << " |------------------------------------------------------------"
     << "------------------------------------------------|\n"
     << " |                                                            "
     << "                                                |\n"
     << " | Uncombined cross sections for the two event sets were "
     << setw(10) << sigma1SelSum << " and " << sigma2SelSum << " mb, "
     << "respectively, combined  |\n"
     << " | using a sigma(nonDiffractive) of " << setw(10) << sigmaND
     << " mb and an impact-parameter enhancement factor of "
     << setw(10) << impactFac << ".   |\n";

  // Listing finished.
  os << " |                                                            "
     << "                                                |\n"
     << " *-------  End PYTHIA Event and Cross Section Statistics -----"
     << "------------------------------------------------*" << endl;

  // Optionally reset statistics contants.
  if (reset) resetStatistics();
     
}

//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/HiddenValleyFragmentation.cc0000644000175000017500000003464412357054761020551 0ustar  sunsun// HiddenValleyFragmentation.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// HiddenValleyFragmentation class and its helper classes.

#include "Pythia8/HiddenValleyFragmentation.h"

namespace Pythia8 {
 
//==========================================================================

// The HVStringFlav class is used to select HV-quark and HV-hadron flavours.

//--------------------------------------------------------------------------

// Initialize data members of the flavour generation.

void HVStringFlav::init(Settings& settings, Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr    = rndmPtrIn;

  // Read in data from Settings.
  nFlav      = settings.mode("HiddenValley:nFlav");
  probVector = settings.parm("HiddenValley:probVector");

}

//--------------------------------------------------------------------------

// Pick a new HV-flavour given an incoming one.

FlavContainer HVStringFlav::pick(FlavContainer& flavOld) {

  // Initial values for new flavour.
  FlavContainer flavNew;
  flavNew.rank = flavOld.rank + 1;

  // Pick new HV-flavour at random; keep track of sign.
  flavNew.id = 4900100 + min( 1 + int(nFlav * rndmPtr->flat()), nFlav);
  if (flavOld.id > 0) flavNew.id = -flavNew.id;
    
  // Done.
  return flavNew;

}

//--------------------------------------------------------------------------

// Combine two HV-flavours to produce an HV-hadron.
// This is simplified procedure, assuming only two HV mesons defined.

int HVStringFlav::combine(FlavContainer& flav1, FlavContainer& flav2) {

  // Positive and negative flavour. Note that with kinetic mixing
  // the Fv are really intended to represent qv, so remap.
  int idMeson = 0;
  int idPos =  max( flav1.id, flav2.id) - 4900000;
  int idNeg = -min( flav1.id, flav2.id) - 4900000;
  if (idPos < 20) idPos = 101;
  if (idNeg < 20) idNeg = 101;

  // Pick HV-meson code, spin either 0 or 1.
  if (idNeg == idPos)     idMeson =  4900111;
  else if (idPos > idNeg) idMeson =  4900211;
  else                    idMeson = -4900211;
  if (rndmPtr->flat() < probVector) idMeson += ((idMeson > 0) ? 2 : -2);

  // Done.
  return idMeson;

}
 
//==========================================================================

// The HVStringPT class is used to select pT in HV fragmentation.

//--------------------------------------------------------------------------

// Initialize data members of the string pT selection.

void HVStringPT::init(Settings& settings, ParticleData& particleData,
  Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr        = rndmPtrIn;

  // Parameter of the pT width. No enhancement, since this is finetuning.
  double sigmamqv  = settings.parm("HiddenValley:sigmamqv");
  double sigma     = sigmamqv * particleData.m0( 4900101);
  sigmaQ           = sigma / sqrt(2.);
  enhancedFraction = 0.;
  enhancedWidth    = 0.;

  // Parameter for pT suppression in MiniStringFragmentation.
  sigma2Had        = 2. * pow2( max( SIGMAMIN, sigma) );

}
 
//==========================================================================

// The HVStringZ class is used to select z in HV fragmentation.

//--------------------------------------------------------------------------

// Initialize data members of the string z selection.

void HVStringZ::init(Settings& settings, ParticleData& particleData,
  Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr  = rndmPtrIn;

  // Paramaters of Lund/Bowler symmetric fragmentation function.
  aLund    = settings.parm("HiddenValley:aLund");
  bmqv2    = settings.parm("HiddenValley:bmqv2");
  rFactqv  = settings.parm("HiddenValley:rFactqv");

  // Use qv mass to set scale of bEff = b * m^2;
  mqv2     = pow2( particleData.m0( 4900101) );
  bLund    = bmqv2 / mqv2;

  // Mass of qv meson used to set stop scale for fragmentation iteration.
  mhvMeson = particleData.m0( 4900111);

}

//--------------------------------------------------------------------------

// Generate the fraction z that the next hadron will take using Lund/Bowler.

double HVStringZ::zFrag( int , int , double mT2) {

  // Shape parameters of Lund symmetric fragmentation function.
  double bShape = bLund * mT2;
  double cShape = 1. + rFactqv * bmqv2;
  return zLund( aLund, bShape, cShape);

}

//==========================================================================

// The HiddenValleyFragmentation class.

//--------------------------------------------------------------------------

// Initialize and save pointers.

bool HiddenValleyFragmentation::init(Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn) {

  // Save pointers.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;

  // Check whether Hidden Valley fragmentation switched on, and SU(N).
  doHVfrag = settings.flag("HiddenValley:fragment");
  if (settings.mode("HiddenValley:Ngauge") < 2) doHVfrag = false;
  if (!doHVfrag) return false;

  // Several copies of qv may be needed. Taken to have same mass.
  nFlav = settings.mode("HiddenValley:nFlav");
  if (nFlav > 1) {
    int spinType = particleDataPtr->spinType(4900101);
    double m0    = particleDataPtr->m0(4900101);
    for (int iFlav = 2; iFlav <= nFlav; ++iFlav)
      particleDataPtr->addParticle( 4900100 + iFlav, "qv", "qvbar",
      spinType, 0, 0, m0);
  }
 
  // Hidden Valley meson mass used to choose hadronization mode.
  mhvMeson = particleDataPtr->m0(4900111);

  // Initialize the hvEvent instance of an event record.
  hvEvent.init( "(Hidden Valley fragmentation)", particleDataPtr);

  // Create HVStringFlav instance for HV-flavour selection.
  hvFlavSelPtr = new HVStringFlav();
  hvFlavSelPtr->init( settings, rndmPtr);

  // Create HVStringPT instance for pT selection in HV fragmentation.
  hvPTSelPtr = new HVStringPT();
  hvPTSelPtr->init( settings, *particleDataPtr, rndmPtr);

  // Create HVStringZ instance for z selection in HV fragmentation.
  hvZSelPtr = new HVStringZ();
  hvZSelPtr->init( settings, *particleDataPtr, rndmPtr);

  // Initialize auxiliary administrative class.
  hvColConfig.init(infoPtr, settings, hvFlavSelPtr);

  // Initialize HV-string and HV-ministring fragmentation.
  hvStringFrag.init(infoPtr, settings, particleDataPtr, rndmPtr,
    hvFlavSelPtr, hvPTSelPtr, hvZSelPtr);
  hvMinistringFrag.init(infoPtr, settings, particleDataPtr, rndmPtr,
    hvFlavSelPtr, hvPTSelPtr, hvZSelPtr);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Perform the fragmentation.

bool HiddenValleyFragmentation::fragment(Event& event) {

  // Reset containers for next event.
  hvEvent.reset();
  hvColConfig.clear();
  ihvParton.resize(0);

  // Extract HV-particles from event to hvEvent. Assign HV-colours.
  // Done if no HV-particles found.
  if (!extractHVevent(event)) return true;

  // Store found string system. Analyze its properties.
  if (!hvColConfig.insert(ihvParton, hvEvent)) return false;

  // Collect sequentially all partons in the HV subsystem.
  // Copy also if already in order, or else history tracing may fail.
  hvColConfig.collect(0, hvEvent, false);

  // Mass used to decide how to fragment system.
  mSys = hvColConfig[0].mass;

  // HV-string fragmentation when enough mass to produce >= 3 HV-mesons.
  if (mSys > 3.5 * mhvMeson) {
    if (!hvStringFrag.fragment( 0, hvColConfig, hvEvent)) return false;

  // HV-ministring fragmentation when enough mass to produce 2 HV-mesons.
  } else if (mSys > 2.1 * mhvMeson) {
    if (!hvMinistringFrag.fragment( 0, hvColConfig, hvEvent, true))
    return false;

  // If only enough mass for one HV-meson assume HV-glueballs emitted.
  } else if (!collapseToMeson()) return false;

  // Insert HV particles from hvEvent to event.
  insertHVevent(event);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Extract HV-particles from event to hvEvent. Assign HV-colours.

bool HiddenValleyFragmentation::extractHVevent(Event& event) {

  // Copy Hidden-Valley particles to special event record.
  for (int i = 0; i < event.size(); ++i) {
    int idAbs = event[i].idAbs();
    bool isHV = (idAbs > 4900000 && idAbs < 4900007)
             || (idAbs > 4900010 && idAbs < 4900017)
             || idAbs == 4900021 || idAbs == 4900101;
    if (isHV) {
      int iHV = hvEvent.append( event[i]);
      // Convert HV-gluons into normal ones so as to use normal machinery.
      if (event[i].id() ==  4900021) hvEvent[iHV].id(21);
      // Second mother points back to position in complete event;
      // otherwise construct the HV history inside hvEvent.
      hvEvent[iHV].mothers( 0, i);
      hvEvent[iHV].daughters( 0, 0);
      int iMother = event[i].mother1();
      for (int iHVM = 1; iHVM < hvEvent.size(); ++iHVM)
      if (hvEvent[iHVM].mother2() == iMother) {
        hvEvent[iHV].mother1( iHVM);
        if (hvEvent[iHVM].daughter1() == 0) hvEvent[iHVM].daughter1(iHV);
        else                                hvEvent[iHVM].daughter2(iHV);
      }
    }
  }

  // Done if no HV particles found.
  hvOldSize = hvEvent.size();
  if (hvOldSize == 1) return false;

  // Initial colour - anticolour parton pair.
  int colBeg = hvEvent.nextColTag();
  for (int iHV = 1; iHV < hvOldSize; ++iHV)
  if (hvEvent[iHV].mother1() == 0) {
    if (hvEvent[iHV].id() > 0) hvEvent[iHV].col( colBeg);
    else                       hvEvent[iHV].acol( colBeg);
  }

  // Then trace colours down to daughters; new colour if two daughters.
  for (int iHV = 1; iHV < hvOldSize; ++iHV) {
    int dau1 = hvEvent[iHV].daughter1();
    int dau2 = hvEvent[iHV].daughter2();
    if (dau1 > 0 && dau2 == 0)
      hvEvent[dau1].cols( hvEvent[iHV].col(), hvEvent[iHV].acol());
    else if (dau2 > 0) {
      int colHV  = hvEvent[iHV].col();
      int acolHV = hvEvent[iHV].acol();
      int colNew = hvEvent.nextColTag();
      if (acolHV == 0) {
        hvEvent[dau1].cols( colNew, 0);
        hvEvent[dau2].cols( colHV, colNew);
      } else if (colHV == 0) {
        hvEvent[dau1].cols( 0, colNew);
        hvEvent[dau2].cols( colNew, acolHV);
      // Temporary: should seek recoiling dipole end!??
      } else if (rndmPtr->flat() > 0.5) {
        hvEvent[dau1].cols( colHV, colNew);
        hvEvent[dau2].cols( colNew, acolHV);
      } else {
        hvEvent[dau1].cols( colNew, acolHV);
        hvEvent[dau2].cols( colHV, colNew);
      }
    }
  }

  // Pick up the colour end.
  int colNow = 0;
  for (int iHV = 1; iHV < hvOldSize; ++iHV)
  if (hvEvent[iHV].isFinal() && hvEvent[iHV].acol() == 0) {
    ihvParton.push_back( iHV);
    colNow = hvEvent[iHV].col();
  }
 
  // Trace colour by colour until reached anticolour end.
  while (colNow > 0) {
    for (int iHV = 1; iHV < hvOldSize; ++iHV)
    if (hvEvent[iHV].isFinal() && hvEvent[iHV].acol() == colNow) {
      ihvParton.push_back( iHV);
      colNow = hvEvent[iHV].col();
      break;
    }
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Collapse of light system to one HV-meson, by the emission of HV-glueballs.

bool HiddenValleyFragmentation::collapseToMeson() {

  // If too low mass then cannot do anything. Should not happen.
  if (mSys < 1.001 * mhvMeson) {
    infoPtr->errorMsg("Error in HiddenValleyFragmentation::collapseToMeson:"
      " too low mass to do anything");
    return false;
  }

  // Choose mass of collective HV-glueball states flat between limits.
  double mhvGlue = (0.001 + 0.998 * rndmPtr->flat()) * (mSys - mhvMeson);

  // Find momentum in rest frame, with isotropic "decay" angles.
  double pAbs = 0.5 * sqrtpos( pow2(mSys*mSys - mhvMeson*mhvMeson
    - mhvGlue*mhvGlue) - pow2(2. * mhvMeson * mhvGlue) ) / mSys;
  double pz   = (2 * rndmPtr->flat() - 1.) * pAbs;
  double pT   = sqrtpos( pAbs*pAbs - pz*pz);
  double phi  = 2. * M_PI * rndmPtr->flat();
  double px   = pT * cos(phi);
  double py   = pT * sin(phi);

  // Construct four-vectors and boost them to event frame.
  Vec4 phvMeson( px, py, pz, sqrt(mhvMeson*mhvMeson + pAbs*pAbs) );
  Vec4 phvGlue( -px, -py, -pz, sqrt(mhvGlue*mhvGlue + pAbs*pAbs) );
  phvMeson.bst( hvColConfig[0].pSum );
  phvGlue.bst(  hvColConfig[0].pSum );

  // Add produced particles to the event record.
  vector iParton = hvColConfig[0].iParton;
  int iFirst = hvEvent.append( 4900111, 82,  iParton.front(),
    iParton.back(), 0, 0, 0, 0, phvMeson, mhvMeson);
  int iLast  = hvEvent.append( 4900991, 82,  iParton.front(),
    iParton.back(), 0, 0, 0, 0, phvGlue, mhvGlue);

  // Mark original partons as hadronized and set their daughter range.
  for (int i = 0; i < int(iParton.size()); ++i) {
    hvEvent[ iParton[i] ].statusNeg();
    hvEvent[ iParton[i] ].daughters(iFirst, iLast);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Insert HV-particles from hvEvent to event.

bool HiddenValleyFragmentation::insertHVevent(Event& event) {

  // Offset for mother/daughter indices.
  hvNewSize = hvEvent.size();
  int nOffset = event.size() - hvOldSize;

  // Copy back HV-particles.
  int iNew, iMot1, iMot2, iDau1, iDau2;
  for (int iHV = hvOldSize; iHV < hvNewSize; ++iHV) {
    iNew = event.append( hvEvent[iHV]);

    // Restore HV-gluon codes. Do not keep HV-colours, to avoid confusion.
    if (hvEvent[iHV].id() == 21) event[iNew].id(4900021);
    event[iNew].cols( 0, 0);

    // Begin history construction.
    iMot1 = hvEvent[iHV].mother1();
    iMot2 = hvEvent[iHV].mother2();
    iDau1 = hvEvent[iHV].daughter1();
    iDau2 = hvEvent[iHV].daughter2();
    // Special mother for partons copied from event, else simple offset.
    // Also set daughters of mothers in original record.
    if (iMot1 > 0 && iMot1 < hvOldSize) {
      iMot1 = hvEvent[iMot1].mother2();
      event[iMot1].statusNeg();
      event[iMot1].daughter1(iNew);
    } else if (iMot1 > 0) iMot1 += nOffset;
    if (iMot2 > 0 && iMot2 < hvOldSize) {
      iMot2 = hvEvent[iMot2].mother2();
      event[iMot2].statusNeg();
      if (event[iMot2].daughter1() == 0) event[iMot2].daughter1(iNew);
      else                               event[iMot2].daughter2(iNew);
    } else if (iMot2 > 0) iMot2 += nOffset;
    if (iDau1 > 0) iDau1 += nOffset;
    if (iDau2 > 0) iDau2 += nOffset;
    event[iNew].mothers( iMot1, iMot2);
    event[iNew].daughters( iDau1, iDau2);
  }

  // Done.
  return true;

}
  
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/PythiaStdlib.cc0000644000175000017500000000250512357054762016052 0ustar  sunsun// PythiaStdlib.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the Gamma function.

#include "Pythia8/PythiaStdlib.h"

namespace Pythia8 {

//==========================================================================
 
// The Gamma function for real arguments, using the Lanczos approximation.
// Code based on http://en.wikipedia.org/wiki/Lanczos_approximation

double GammaCoef[9] = {
     0.99999999999980993,     676.5203681218851,   -1259.1392167224028,
      771.32342877765313,   -176.61502916214059,    12.507343278686905,
    -0.13857109526572012, 9.9843695780195716e-6, 1.5056327351493116e-7};

double GammaReal(double x) {

  // Reflection formula (recursive!) for x < 0.5.
  if (x < 0.5) return M_PI / (sin(M_PI * x) * GammaReal(1 - x));

  // Iterate through terms.
  double z = x - 1.;
  double gamma = GammaCoef[0];
  for (int i = 1; i < 9; ++i) gamma += GammaCoef[i] / (z + i);

  // Answer.
  double t = z + 7.5;
  gamma *= sqrt(2. * M_PI) * pow(t, z + 0.5) * exp(-t);
  return gamma;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/MergingHooks.cc0000644000175000017500000037340612357054761016060 0ustar  sunsun// MergingHooks.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// This file is written by Stefan Prestel.
// Function definitions (not found in the header) for the HardProcess and
// MergingHooks classes.

#include "Pythia8/MergingHooks.h"

namespace Pythia8 {
 
//==========================================================================

// The HardProcess class.

//--------------------------------------------------------------------------

// Declaration of hard process class
// This class holds information on the desired hard 2->2 process to be merged
// This class is a container class for History class use.

// Initialisation on the process string

void HardProcess::initOnProcess( string process, ParticleData* particleData) {
  state.init("(hard process)", particleData);
  translateProcessString(process);
}

//--------------------------------------------------------------------------

// Initialisation on the path to LHE file

void HardProcess::initOnLHEF( string LHEfile, ParticleData* particleData) {
  state.init("(hard process)", particleData);
  translateLHEFString(LHEfile);
}

//--------------------------------------------------------------------------

// Function to access the LHE file and read relevant information.
// The merging scale will be read from the +1 jet sample, called
//   LHEpath_1.lhe
// while the hard process will be read from
//   LHEpath_0.lhe
// Currently, only read from MadEvent- or Sherpa-generated LHE files
// is automatic, else the user is asked to supply the necessary
// information.

void HardProcess::translateLHEFString( string LHEpath){

  // Open path to LHEF and extract merging scale
  ifstream infile;
  infile.open( (char*)( LHEpath +"_0.lhe").c_str());

  // Check with ME generator has been used
  int iLine =0;
  int nLinesMax = 200;
  string lineGenerator;
  while( iLine < nLinesMax
        && lineGenerator.find("SHERPA", 0) == string::npos
        && lineGenerator.find("POWHEG-BOX", 0) == string::npos
        && lineGenerator.find("Pythia8", 0) == string::npos
        && lineGenerator.find("MadGraph", 0) == string::npos){
    iLine++;
    lineGenerator = " ";
    getline(infile,lineGenerator);
  }
  infile.close();

  vector  incom;
  vector  inter;
  vector  outgo;
  // Particle identifiers, ordered in such a way that e.g. the "u"
  // in a mu is not mistaken for an u quark
  int inParticleNumbers[] = {
        // Leptons
        -11,11,-12,12,-13,13,-14,14,-15,15,-16,16,
        // Jet container
        2212,2212,0,0,0,0,
        // Quarks
        -1,1,-2,2,-3,3,-4,4,-5,5,-6,6};

  string inParticleNamesSH[] = {
        // Leptons
        "-11","11","-12","12","-13","13","-14","14","-15","15","-16","16",
        // Jet container
        "-93","93","-90","90","-91","91",
        // Quarks
        "-1","1","-2","2","-3","3","-4","4","-5","5","-6","6"};
  string inParticleNamesMG[] =  {
        // Leptons
        "e+","e-","ve~","ve","mu+","mu-","vm~","vm","ta+","ta-","vt~","vt",
        // Jet container
        "p~","p","l+","l-","vl~","vl",
        // Quarks
        "d~","d","u~","u","s~","s","c~","c","b~","b","t~","t"};

  // Declare intermediate particle identifiers
  int interParticleNumbers[] = {
         // Electroweak gauge bosons
         22,23,-24,24,25,2400,
         // Top quarks
         -6,6,
         // Dummy index as back-up
         0,
         // All squarks
        -1000001,1000001,-1000002,1000002,-1000003,1000003,-1000004,1000004,
        -1000005,1000005,-1000006,1000006,-2000001,2000001,-2000002,2000002,
        -2000003,2000003,-2000004,2000004,-2000005,2000005,-2000006,2000006};
  // Declare names of intermediate particles
  string interParticleNamesMG[] = {
        // Electroweak gauge bosons
        "a","z","w-","w+","h","W",
         // Top quarks
         "t~","t",
        // Dummy index as back-up
        "xx",
         // All squarks
         "dl~","dl","ul~","ul","sl~","sl","cl~","cl","b1~","b1","t1~","t1",
         "dr~","dr","ur~","ur","sr~","sr","cr~","cr","b2~","b2","t2~","t2"};

  // Declare final state particle identifiers
  int outParticleNumbers[] = {
        // Leptons
        -11,11,-12,12,-13,13,-14,14,-15,15,-16,16,
        // Jet container and lepton containers
        2212,2212,0,0,0,0,1200,1100,5000,
        // Quarks
        -1,1,-2,2,-3,3,-4,4,-5,5,-6,6,
        // SM uncoloured bosons
        22,23,-24,24,25,2400,
        // Neutralino in SUSY
        1000022,
        // All squarks
        -1000001,1000001,-1000002,1000002,-1000003,1000003,-1000004,1000004,
        -1000005,1000005,-1000006,1000006,-2000001,2000001,-2000002,2000002,
        -2000003,2000003,-2000004,2000004,-2000005,2000005,-2000006,2000006};
  // Declare names of final state particles
  string outParticleNamesMG[] =  {
        // Leptons
        "e+","e-","ve~","ve","mu+","mu-","vm~","vm","ta+","ta-","vt~","vt",
        // Jet container and lepton containers
        "j~","j","l+","l-","vl~","vl","NEUTRINOS","LEPTONS","BQUARKS",
        // Quarks
        "d~","d","u~","u","s~","s","c~","c","b~","b","t~","t",
        // SM uncoloured bosons
        "a","z","w-","w+","h","W",
        // Neutralino in SUSY
        "n1",
        // All squarks
        "dl~","dl","ul~","ul","sl~","sl","cl~","cl","b1~","b1","t1~","t1",
        "dr~","dr","ur~","ur","sr~","sr","cr~","cr","b2~","b2","t2~","t2"};

  string outParticleNamesSH[] = {
        // Leptons
        "-11","11","-12","12","-13","13","-14","14","-15","15","-16","16",
        // Jet container and lepton containers
        "-93","93","-90","90","-91","91","0","0","0",
        // Quarks
        "-1","1","-2","2","-3","3","-4","4","-5","5","-6","6",
        // SM uncoloured bosons
        "22","23","-24","24","25","0",
        // Neutralino in SUSY
        "1000022",
        // All squarks
        "-1000001","1000001","-1000002","1000002","-1000003","1000003",
                   "-1000004","1000004",
        "-1000005","1000005","-1000006","1000006","-2000001","2000001",
                   "-2000002","2000002",
        "-2000003","2000003","-2000004","2000004","-2000005","2000005",
                   "-2000006","2000006"};

  // Declare size of particle name arrays
  int nIn   = 30;
  int nInt  = 33;
  int nOut  = 64;

  // Save type of the generator, in order to be able to extract
  // the tms definition
  int meGenType = (lineGenerator.find("MadGraph", 0) != string::npos) ? -1
              : (lineGenerator.find("SHERPA", 0) != string::npos)     ? -2
              : (lineGenerator.find("POWHEG-BOX", 0) != string::npos) ? -3
              : (lineGenerator.find("Pythia8", 0) != string::npos)    ? -4
              : 0;

  if (meGenType == -2){
    // Now read merging scale
    // Open path to LHEF and extract merging scale
    infile.open( (char*)( LHEpath +"_1.lhe").c_str());
    string lineTMS;
    while(lineTMS.find("NJetFinder ", 0) == string::npos){
      lineTMS = " ";
      getline(infile,lineTMS);
    }
    infile.close();
    lineTMS = lineTMS.substr(0,lineTMS.find(" 0.0 ",0));
    lineTMS = lineTMS.substr(lineTMS.find(" ", 0)+3,lineTMS.size());
    // Remove whitespaces
    while(lineTMS.find(" ", 0) != string::npos)
      lineTMS.erase(lineTMS.begin()+lineTMS.find(" ",0));
    // Replace d with e
    if ( lineTMS.find("d", 0) != string::npos)
      lineTMS.replace(lineTMS.find("d", 0),1,1,'e');
    tms = atof((char*)lineTMS.c_str());

    // Now read hard process
    // Open path to LHEF and extract hard process
    infile.open( (char*)( LHEpath +"_0.lhe").c_str());
    string line;
    while(line.find("Process", 0) == string::npos){
      line = " ";
      getline(infile,line);
    }
    infile.close();
    line = line.substr(line.find(" ",0),line.size());

    // Cut string into incoming and outgoing pieces
    vector  pieces;
    pieces.push_back( line.substr(0,line.find("->", 0)) );
    // Do not count additional final jets
    int end = (line.find("{", 0) != string::npos) ? line.find("{", 0)-2
            : line.size();
    pieces.push_back( line.substr(line.find("->", 0)+2, end) );

    // Get incoming particles
    for(int i=0; i < nIn; ++i) {
      for(int n = pieces[0].find(inParticleNamesSH[i], 0);
             n != int(string::npos);
             n = pieces[0].find(inParticleNamesSH[i], n)) {
        incom.push_back(inParticleNumbers[i]);
        pieces[0].erase(pieces[0].begin()+n,
                        pieces[0].begin()+n+inParticleNamesSH[i].size());
        n=0;
      }
    }
    // Get intermediate particles
    // If intermediates are still empty, fill intermediate with default value
    inter.push_back(0);
    // Get final particles
    for(int i=0; i < nOut; ++i) {
      for(int n = pieces[1].find(outParticleNamesSH[i], 0);
             n != int(string::npos);
             n = pieces[1].find(outParticleNamesSH[i], n)) {
        outgo.push_back(outParticleNumbers[i]);
        pieces[1].erase(pieces[1].begin()+n,
                        pieces[1].begin()+n+outParticleNamesSH[i].size());
        n=0;
      }
    }

  } else if (meGenType == -1 || meGenType == -3 || meGenType == -4){

    // Now read merging scale
    string lineTMS;

    if (meGenType == -1) {
      // Open path to LHEF and extract merging scale
      infile.open( (char*)( LHEpath +"_1.lhe").c_str());
      while(lineTMS.find("ktdurham", 0) == string::npos){
        lineTMS = " ";
        getline(infile,lineTMS);
      }
      lineTMS = lineTMS.substr(0,lineTMS.find("=",0));
      infile.close();
    } else {
      lineTMS = "30.";
    }

    // Remove whitespaces
    while(lineTMS.find(" ", 0) != string::npos)
      lineTMS.erase(lineTMS.begin()+lineTMS.find(" ",0));
    // Replace d with e
    if ( lineTMS.find("d", 0) != string::npos)
      lineTMS.replace(lineTMS.find("d", 0),1,1,'e');
    tms = atof((char*)lineTMS.c_str());

    // Now read hard process
    // Open path to LHEF and extract hard process
    infile.open( (char*)( LHEpath +"_0.lhe").c_str());
    string line;
    while(line.find("@1", 0) == string::npos){
      line = " ";
      getline(infile,line);
    }
    infile.close();
    line = line.substr(0,line.find("@",0));

    // Count number of resonances
    int appearances = 0;
    for(int n = line.find("(", 0); n != int(string::npos);
            n = line.find("(", n)) {
      appearances++;
      n++;
    }

    // Cut string in incoming, resonance+decay and outgoing pieces
    vector  pieces;
    for(int i =0; i < appearances;++i) {
      int n = line.find("(", 0);
      pieces.push_back(line.substr(0,n));
      line = line.substr(n+1,line.size());
    }
    // Cut last resonance from rest
    if (appearances > 0) {
      pieces.push_back( line.substr(0,line.find(")",0)) );
      pieces.push_back( line.substr(line.find(")",0)+1,line.size()) );
    }

    // If the string was not cut into pieces, i.e. no resonance was
    // required, cut string using '>' as delimiter
    if (pieces.empty() ){
      appearances = 0;
      for(int n = line.find(">", 0); n != int(string::npos);
              n = line.find(">", n)) {
        appearances++;
        n++;
      }

      // Cut string in incoming and outgoing pieces
      for(int i =0; i < appearances;++i) {
        int n = line.find(">", 0);
        pieces.push_back(line.substr(0,n));
        line = line.substr(n+1,line.size());
      }

      if (appearances == 1) pieces.push_back(line);
      if (appearances > 1) {
        pieces.push_back( line.substr(0,line.find(">",0)) );
        pieces.push_back( line.substr(line.find(">",0)+1,line.size()) );
      }
    }

    // Get incoming particles
    for(int i=0; i < nIn; ++i) {
      for(int n = pieces[0].find(inParticleNamesMG[i], 0);
             n != int(string::npos);
             n = pieces[0].find(inParticleNamesMG[i], n)) {
        incom.push_back(inParticleNumbers[i]);
        pieces[0].erase(pieces[0].begin()+n,
                        pieces[0].begin()+n+inParticleNamesMG[i].size());
        n=0;
      }
    }

    // Check intermediate resonances and decay products
    for(int i =1; i < int(pieces.size()); ++i){
      // Seperate strings into intermediate and outgoing, if not already done
      int k = pieces[i].find(">", 0);

      string intermediate = (pieces[i].find(">", 0) != string::npos) ?
                             pieces[i].substr(0,k) : "";
      string outgoing = (pieces[i].find(">", 0) != string::npos) ?
                         pieces[i].substr(k+1,pieces[i].size()) : pieces[i];

      // Get intermediate particles
      for(int j=0; j < nInt; ++j) {
        for(int n = intermediate.find(interParticleNamesMG[j], 0);
               n != int(string::npos);
               n = intermediate.find(interParticleNamesMG[j], n)) {
          inter.push_back(interParticleNumbers[j]);
          intermediate.erase(intermediate.begin()+n,
                      intermediate.begin()+n+interParticleNamesMG[j].size());
          n=0;
        }
      }

      // Get outgoing particles
      for(int j=0; j < nOut; ++j) {
        for(int n = outgoing.find(outParticleNamesMG[j], 0);
               n != int(string::npos);
               n = outgoing.find(outParticleNamesMG[j], n)) {
          outgo.push_back(outParticleNumbers[j]);
          outgoing.erase(outgoing.begin()+n,
                         outgoing.begin()+n+outParticleNamesMG[j].size());
          n=0;
        }
      }

      // For arbitrary or non-existing intermediate, remember zero for each
      // two outgoing particles, without bosons.
      if (inter.empty()) {

        // For final state bosons, bookkeep the final state boson as
        // intermediate as well.
        int nBosons = 0;
        for(int l=0; l < int(outgo.size()); ++l)
          if ( (abs(outgo[l]) > 20 && abs(outgo[l]) <= 25) || outgo[l] == 2400)
            nBosons++;

        int nZeros = (outgo.size() - nBosons)/2;
        for(int l=0; l < nZeros; ++l)
          inter.push_back(0);
      }

      // For final state bosons, bookkeep the final state boson as
      // intermediate as well.
      for(int l=0; l < int(outgo.size()); ++l)
        if ( (abs(outgo[l]) > 20 && abs(outgo[l]) <= 25) || outgo[l] == 2400)
          inter.push_back(outgo[l]);

    }

  } else {

    cout << "Reading of tms and hard process information from LHEF currently"
         << " only automated for MadEvent- or SHERPA-produced LHEF" << endl;
    int tempInt      = 0;
    cout << "Use default process pp -> e+ve + jets? (0:no / 1:yes): ";
    cin >> tempInt;
    cout << endl;

    if (tempInt == 0){
      tempInt = 0;
      double tempDouble  = 0.0;
      cout << "Please specify merging scale (kT Durham, in GeV): ";
      cin >> tempDouble;
      tms = tempDouble;
      cout << endl;
      cout << "Please specify first incoming particle ";
      cout << "(p+/p- = 2212, e- = 11, e+ = -11): ";
      cin >> tempInt;
      incom.push_back(tempInt);
      tempInt = 0;
      cout << endl;
      cout << "Please specify second incoming particle ";
      cout << "(p+/p- = 2212, e- = 11, e+ = -11): ";
      cin >> tempInt;
      incom.push_back(tempInt);
      tempInt = 0;
      cout << endl;
      cout << "Please specify intermediate particle, if any ";
      cout << "(0 for none, else PDG code): ";
      cin >> tempInt;
      inter.push_back(tempInt);
      cout << endl;
      do {
        tempInt = 0;
        cout << "Please specify outgoing particle ";
        cout << "(jet=2212, else PDG code, exit with 99): ";
        cin >> tempInt;
        if (tempInt != 99) outgo.push_back(tempInt);
      } while(tempInt != 99);
      cout << endl;
    } else {
      cout << "LHE file not produced by SHERPA or MG/ME - ";
      cout << "Using default process and tms" << endl;
      incom.push_back(2212);
      incom.push_back(2212);
      inter.push_back(24);
      outgo.push_back(-11);
      outgo.push_back(12);
      tms = 10.;
    }
  }

  // Now store incoming, intermediate and outgoing
  // Set intermediate tags
  for(int i=0; i < int(inter.size()); ++i)
    hardIntermediate.push_back(inter[i]);

  // Set the incoming particle tags
  if (incom.size() != 2)
    cout << "Only two incoming particles allowed" << endl;
  else {
    hardIncoming1 = incom[0];
    hardIncoming2 = incom[1];
  }

  // Remember final state bosons
  int nBosons = 0;
  for(int i=0; i < int(outgo.size()); ++i)
    if ( (abs(outgo[i]) > 20 && abs(outgo[i]) <= 25) || outgo[i] == 2400)
      nBosons++;
  // Remember b-quark container
  int nBQuarks = 0;
  for(int i=0; i < int(outgo.size()); ++i)
    if ( outgo[i] == 5000)
      nBQuarks++;
  // Remember jet container
  int nJets = 0;
  for(int i=0; i < int(outgo.size()); ++i)
    if ( outgo[i] == 2212)
      nJets++;
  // Remember lepton container
  int nLeptons = 0;
  for(int i=0; i < int(outgo.size()); ++i)
    if ( outgo[i] == 1100)
      nLeptons++;
  // Remember lepton container
  int nNeutrinos = 0;
  for(int i=0; i < int(outgo.size()); ++i)
    if ( outgo[i] == 1200)
      nNeutrinos++;
  int nContainers = nLeptons + nNeutrinos + nJets + nBQuarks;

  // Set final particle identifiers
  if ( (outgo.size() - nBosons - nContainers)%2 == 1) {
    cout << "Only even number of outgoing particles allowed" << endl;
    for(int i=0; i < int(outgo.size()); ++i)
      cout << outgo[i] << endl;
  } else {

    // Push back particles / antiparticles
    for(int i=0; i < int(outgo.size()); ++i)
      if (outgo[i] > 0
        && outgo[i] != 2212
        && outgo[i] != 5000
        && outgo[i] != 1100
        && outgo[i] != 1200
        && outgo[i] != 2400
        && outgo[i] != 1000022)
        hardOutgoing2.push_back( outgo[i]);
      else if (outgo[i] < 0)
        hardOutgoing1.push_back( outgo[i]);

    // Save final state W-boson container as particle
    for(int i=0; i < int(outgo.size()); ++i)
      if ( outgo[i] == 2400)
        hardOutgoing2.push_back( outgo[i]);

    // Push back jets, distribute evenly amongst particles / antiparticles
    // Push back majorana particles, distribute evenly
    int iNow = 0;
    for(int i=0; i < int(outgo.size()); ++i)
      if ( (outgo[i] == 2212
        || outgo[i] == 5000
        || outgo[i] == 1200
        || outgo[i] == 1000022)
        && iNow%2 == 0 ){
        hardOutgoing2.push_back( outgo[i]);
        iNow++;
      } else if ( (outgo[i] == 2212
               || outgo[i] == 5000
               || outgo[i] == 1100
               || outgo[i] == 1000022)
               && iNow%2 == 1 ){
        hardOutgoing1.push_back( outgo[i]);
        iNow++;
      }
  }

  // Done
}

//--------------------------------------------------------------------------

// Function to translate a string specitying the core process into the
// internal notation
// Currently, the input string has to be in MadEvent notation

void HardProcess::translateProcessString( string process){

  vector  incom;
  vector  inter;
  vector  outgo;
  // Particle identifiers, ordered in such a way that e.g. the "u"
  // in a mu is not mistaken for an u quark
  int inParticleNumbers[] = {
        // Leptons
        -11,11,-12,12,-13,13,-14,14,-15,15,-16,16,
        // Jet container
        2212,2212,0,0,0,0,
        // Quarks
        -1,1,-2,2,-3,3,-4,4,-5,5,-6,6};
  string inParticleNamesMG[] =  {
        // Leptons
        "e+","e-","ve~","ve","mu+","mu-","vm~","vm","ta+","ta-","vt~","vt",
        // Jet container
        "p~","p","l+","l-","vl~","vl",
        // Quarks
        "d~","d","u~","u","s~","s","c~","c","b~","b","t~","t"};

  // Declare intermediate particle identifiers
  int interParticleNumbers[] = {
         // Electroweak gauge bosons
         22,23,-24,24,25,2400,
         // Top quarks
         -6,6,
         // Dummy index as back-up
         0,
         // All squarks
        -1000001,1000001,-1000002,1000002,-1000003,1000003,-1000004,1000004,
        -1000005,1000005,-1000006,1000006,-2000001,2000001,-2000002,2000002,
        -2000003,2000003,-2000004,2000004,-2000005,2000005,-2000006,2000006};
  // Declare names of intermediate particles
  string interParticleNamesMG[] = {
        // Electroweak gauge bosons
        "a","z","w-","w+","h","W",
         // Top quarks
         "t~","t",
        // Dummy index as back-up
        "xx",
         // All squarks
         "dl~","dl","ul~","ul","sl~","sl","cl~","cl","b1~","b1","t1~","t1",
         "dr~","dr","ur~","ur","sr~","sr","cr~","cr","b2~","b2","t2~","t2"};

  // Declare final state particle identifiers
  int outParticleNumbers[] = {
        // Leptons
        -11,11,-12,12,-13,13,-14,14,-15,15,-16,16,
        // Jet container and lepton containers
        2212,2212,0,0,0,0,1200,1100,5000,
        // Quarks
        -1,1,-2,2,-3,3,-4,4,-5,5,-6,6,
        // SM uncoloured bosons
        22,23,-24,24,25,2400,
        // Neutralino in SUSY
        1000022,
        // All squarks
        -1000001,1000001,-1000002,1000002,-1000003,1000003,-1000004,1000004,
        -1000005,1000005,-1000006,1000006,-2000001,2000001,-2000002,2000002,
        -2000003,2000003,-2000004,2000004,-2000005,2000005,-2000006,2000006};
  // Declare names of final state particles
  string outParticleNamesMG[] =  {
        // Leptons
        "e+","e-","ve~","ve","mu+","mu-","vm~","vm","ta+","ta-","vt~","vt",
        // Jet container and lepton containers
        "j~","j","l+","l-","vl~","vl","NEUTRINOS","LEPTONS","BQUARKS",
        // Quarks
        "d~","d","u~","u","s~","s","c~","c","b~","b","t~","t",
        // SM uncoloured bosons
        "a","z","w-","w+","h","W",
        // Neutralino in SUSY
        "n1",
        // All squarks
        "dl~","dl","ul~","ul","sl~","sl","cl~","cl","b1~","b1","t1~","t1",
        "dr~","dr","ur~","ur","sr~","sr","cr~","cr","b2~","b2","t2~","t2"};

  // Declare size of particle name arrays
  int nIn   = 30;
  int nInt  = 33;
  int nOut  = 64;

  // Start mapping user-defined particles onto particle ids.
  //string fullProc = "pp>{blaa,124}LEPTONS,NEUTRINOS";
  string fullProc = process;

  // Find user-defined hard process content
  // Count number of user particles
  int nUserParticles = 0;
  for(int n = fullProc.find("{", 0); n != int(string::npos);
          n = fullProc.find("{", n)) {
    nUserParticles++;
    n++;
  }
  // Cut user-defined particles from remaining process
  vector  userParticleStrings;
  for(int i =0; i < nUserParticles;++i) {
    int n = fullProc.find("{", 0);
    userParticleStrings.push_back(fullProc.substr(0,n));
    fullProc = fullProc.substr(n+1,fullProc.size());
  }
  // Cut remaining process string from rest
  if (nUserParticles > 0)
    userParticleStrings.push_back(
      fullProc.substr( 0, fullProc.find("}",0) ) );
  // Remove curly brackets and whitespace
  for(int i =0; i < int(userParticleStrings.size());++i) {
    while(userParticleStrings[i].find("{", 0) != string::npos)
      userParticleStrings[i].erase(userParticleStrings[i].begin()
                                  +userParticleStrings[i].find("{", 0));
    while(userParticleStrings[i].find("}", 0) != string::npos)
      userParticleStrings[i].erase(userParticleStrings[i].begin()
                                  +userParticleStrings[i].find("}", 0));
    while(userParticleStrings[i].find(" ", 0) != string::npos)
      userParticleStrings[i].erase(userParticleStrings[i].begin()
                                  +userParticleStrings[i].find(" ", 0));
  }
  // Convert particle numbers in user particle to integers
  vectoruserParticleNumbers;
  if ( int(userParticleStrings.size()) > 1) {
    for( int i = 1; i < int(userParticleStrings.size()); ++i) {
      userParticleNumbers.push_back(
        atoi((char*)userParticleStrings[i].substr(
          userParticleStrings[i].find(",",0)+1,
          userParticleStrings[i].size()).c_str() ) );
    }
  }
  // Save remaining process string
  if (nUserParticles > 0)
    userParticleStrings.push_back(
      fullProc.substr(
        fullProc.find("}",0)+1, fullProc.size() ) );
  // Remove curly brackets and whitespace
  for( int i = 0; i < int(userParticleStrings.size()); ++i) {
    while(userParticleStrings[i].find("{", 0) != string::npos)
      userParticleStrings[i].erase(userParticleStrings[i].begin()
                                  +userParticleStrings[i].find("{", 0));
    while(userParticleStrings[i].find("}", 0) != string::npos)
      userParticleStrings[i].erase(userParticleStrings[i].begin()
                                  +userParticleStrings[i].find("}", 0));
    while(userParticleStrings[i].find(" ", 0) != string::npos)
      userParticleStrings[i].erase(userParticleStrings[i].begin()
                                  +userParticleStrings[i].find(" ", 0));
  }

  // Start mapping residual process string onto particle IDs.
  // Declare leftover process after user-defined particles have been converted
  string residualProc;
  if ( int(userParticleStrings.size()) > 1 )
    residualProc = userParticleStrings.front() + userParticleStrings.back();
  else
    residualProc = fullProc;

  // Remove comma separation
  while(residualProc.find(",", 0) != string::npos)
    residualProc.erase(residualProc.begin()+residualProc.find(",",0));

  // Count number of resonances
  int appearances = 0;
  for(int n = residualProc.find("(", 0); n != int(string::npos);
          n = residualProc.find("(", n)) {
    appearances++;
    n++;
  }

  // Cut string in incoming, resonance+decay and outgoing pieces
  vector  pieces;
  for(int i =0; i < appearances;++i) {
    int n = residualProc.find("(", 0);
    pieces.push_back(residualProc.substr(0,n));
    residualProc = residualProc.substr(n+1,residualProc.size());
  }
  // Cut last resonance from rest
  if (appearances > 0) {
    pieces.push_back( residualProc.substr(0,residualProc.find(")",0)) );
    pieces.push_back( residualProc.substr(
      residualProc.find(")",0)+1, residualProc.size()) );
  }

  // If the string was not cut into pieces, i.e. no resonance was
  // required, cut string using '>' as delimiter
  if (pieces.empty() ){
    appearances = 0;
    for(int n = residualProc.find(">", 0); n != int(string::npos);
            n = residualProc.find(">", n)) {
      appearances++;
      n++;
    }

    // Cut string in incoming and outgoing pieces
    for(int i =0; i < appearances;++i) {
      int n = residualProc.find(">", 0);
      pieces.push_back(residualProc.substr(0,n));
      residualProc = residualProc.substr(n+1,residualProc.size());
    }

    if (appearances == 1) pieces.push_back(residualProc);
    if (appearances > 1) {
      pieces.push_back( residualProc.substr(0,residualProc.find(">",0)) );
      pieces.push_back( residualProc.substr(
        residualProc.find(">",0)+1, residualProc.size()) );
    }
  }

  // Get incoming particles
  for(int i=0; i < nIn; ++i) {
    for(int n = pieces[0].find(inParticleNamesMG[i], 0);
           n != int(string::npos);
           n = pieces[0].find(inParticleNamesMG[i], n)) {
      incom.push_back(inParticleNumbers[i]);
      pieces[0].erase(pieces[0].begin()+n,
                      pieces[0].begin()+n+inParticleNamesMG[i].size());
      n=0;
    }
  }

  // Check intermediate resonances and decay products
  for(int i =1; i < int(pieces.size()); ++i){
    // Seperate strings into intermediate and outgoing, if not already done
    int k = pieces[i].find(">", 0);

    string intermediate = (pieces[i].find(">", 0) != string::npos) ?
                           pieces[i].substr(0,k) : "";
    string outgoing = (pieces[i].find(">", 0) != string::npos) ?
                       pieces[i].substr(k+1,pieces[i].size()) : pieces[i];

    // Get intermediate particles
    for(int j=0; j < nInt; ++j) {
      for(int n = intermediate.find(interParticleNamesMG[j], 0);
             n != int(string::npos);
             n = intermediate.find(interParticleNamesMG[j], n)) {
        inter.push_back(interParticleNumbers[j]);
        intermediate.erase(intermediate.begin()+n,
                    intermediate.begin()+n+interParticleNamesMG[j].size());
        n=0;
      }
    }

    // Get outgoing particles
    for(int j=0; j < nOut; ++j) {
      for(int n = outgoing.find(outParticleNamesMG[j], 0);
             n != int(string::npos);
             n = outgoing.find(outParticleNamesMG[j], n)) {
        outgo.push_back(outParticleNumbers[j]);
        outgoing.erase(outgoing.begin()+n,
                       outgoing.begin()+n+outParticleNamesMG[j].size());
        n=0;
      }
    }

    // For arbitrary or non-existing intermediate, remember zero for each
    // two outgoing particles, without bosons.
    if (inter.empty()) {

      // For final state bosons, bookkeep the final state boson as
      // intermediate as well.
      int nBosons = 0;
      for(int l=0; l < int(outgo.size()); ++l)
        if ( (abs(outgo[l]) > 20 && abs(outgo[l]) <= 25) || outgo[l] == 2400)
          nBosons++;

      int nZeros = (outgo.size() - nBosons)/2;
      for(int l=0; l < nZeros; ++l)
        inter.push_back(0);
    }

    // For final state bosons, bookkeep the final state boson as
    // intermediate as well.
    for(int l=0; l < int(outgo.size()); ++l)
      if ( (abs(outgo[l]) > 20 && abs(outgo[l]) <= 25) || outgo[l] == 2400)
        inter.push_back(outgo[l]);

  }

  // Now store incoming, intermediate and outgoing
  // Set intermediate tags
  for(int i=0; i < int(inter.size()); ++i)
    hardIntermediate.push_back(inter[i]);

  // Set the incoming particle tags
  if (incom.size() != 2)
    cout << "Only two incoming particles allowed" << endl;
  else {
    hardIncoming1 = incom[0];
    hardIncoming2 = incom[1];
  }

  // Now store final particle identifiers
  // Start with user-defined particles.
  for( int i = 0; i < int(userParticleNumbers.size()); ++i)
    if (userParticleNumbers[i] > 0) {
      hardOutgoing2.push_back( userParticleNumbers[i]);
      hardIntermediate.push_back(0);
      // For non-existing intermediate, remember zero.
    } else if (userParticleNumbers[i] < 0) {
      hardOutgoing1.push_back( userParticleNumbers[i]);
      // For non-existing intermediate, remember zero.
      hardIntermediate.push_back(0);
    }

  // Push back particles / antiparticles
  for(int i=0; i < int(outgo.size()); ++i)
    if (outgo[i] > 0
      && outgo[i] != 2212
      && outgo[i] != 5000
      && outgo[i] != 1100
      && outgo[i] != 1200
      && outgo[i] != 2400
      && outgo[i] != 1000022)
      hardOutgoing2.push_back( outgo[i]);
    else if (outgo[i] < 0)
      hardOutgoing1.push_back( outgo[i]);

  // Save final state W-boson container as particle
  for(int i=0; i < int(outgo.size()); ++i)
    if ( outgo[i] == 2400)
      hardOutgoing2.push_back( outgo[i]);

  // Push back jets, distribute evenly among particles / antiparticles
  // Push back majorana particles, distribute evenly
  int iNow = 0;
  for(int i=0; i < int(outgo.size()); ++i)
    if ( (outgo[i] == 2212
      || outgo[i] == 5000
      || outgo[i] == 1200
      || outgo[i] == 1000022)
      && iNow%2 == 0 ){
      hardOutgoing2.push_back( outgo[i]);
      iNow++;
    } else if ( (outgo[i] == 2212
             || outgo[i] == 5000
             || outgo[i] == 1100
             || outgo[i] == 1000022)
             && iNow%2 == 1 ){
      hardOutgoing1.push_back( outgo[i]);
      iNow++;
    }

  // Done
}

//--------------------------------------------------------------------------

// Function to check if the candidates stored in Pos1 and Pos2, together with
// a proposed candidate iPos are allowed.

bool HardProcess::allowCandidates(int iPos, vector Pos1,
  vector Pos2, const Event& event){

  bool allowed = true;

  // Find colour-partner of new candidate
  int type = (event[iPos].col() > 0) ? 1 : (event[iPos].acol() > 0) ? -1 : 0;

  if (type == 0) return true;

  if (type == 1){
    int col = event[iPos].col();
    int iPartner = 0;
    for(int i=0; i < int(event.size()); ++i)
      if ( i != iPos
        && (( event[i].isFinal() && event[i].acol() == col)
          ||( event[i].status() == -21 && event[i].col() == col) ))
      iPartner = i;

    vector partners;
    for(int i=0; i < int(event.size()); ++i)
      for(int j=0; j < int(Pos1.size()); ++j)
        if ( Pos1[j] != 0 && i != Pos1[j] && event[Pos1[j]].colType() != 0
        && (( event[i].isFinal() && event[i].col() == event[Pos1[j]].acol())
          ||( event[i].status() == -21
           && event[i].acol() == event[Pos1[j]].acol()) ))
         partners.push_back(i);

    // Never allow equal initial partners!
    if (event[iPartner].status() == -21){
      for(int i=0; i < int(partners.size()); ++i)
        if ( partners[i] == iPartner)
          allowed = false;
    }

  } else {
    int col = event[iPos].acol();
    int iPartner = 0;
    for(int i=0; i < int(event.size()); ++i)
      if ( i != iPos
        && (( event[i].isFinal() && event[i].col()  == col)
          ||(!event[i].isFinal() && event[i].acol() == col) ))
      iPartner = i;

    vector partners;
    for(int i=0; i < int(event.size()); ++i)
      for(int j=0; j < int(Pos2.size()); ++j)
        if ( Pos2[j] != 0 && i != Pos2[j] && event[Pos2[j]].colType() != 0
        && (( event[i].isFinal() && event[i].acol() == event[Pos2[j]].col())
          ||( event[i].status() == -21
           && event[i].col() == event[Pos2[j]].col()) ))
         partners.push_back(i);

    // Never allow equal initial partners!
    if (event[iPartner].status() == -21){
      for(int i=0; i < int(partners.size()); ++i){
        if ( partners[i] == iPartner)
          allowed = false;
      }
    }

  }

  return allowed;

}

//--------------------------------------------------------------------------

// Function to identify the hard subprocess in the current event

void HardProcess::storeCandidates( const Event& event, string process){

  // Store the reference event
  state.clear();
  state = event;

  // Local copy of intermediate bosons
  vector intermediates;
  for(int i =0; i < int(hardIntermediate.size());++i)
    intermediates.push_back( hardIntermediate[i]);

  // Local copy of outpoing partons
  vector outgoing1;
  for(int i =0; i < int(hardOutgoing1.size());++i)
    outgoing1.push_back( hardOutgoing1[i]);
  vector outgoing2;
  for(int i =0; i < int(hardOutgoing2.size());++i)
    outgoing2.push_back( hardOutgoing2[i]);

  // Clear positions of intermediate and outgoing particles
  PosIntermediate.resize(0);
  PosOutgoing1.resize(0);
  PosOutgoing2.resize(0);
  for(int i =0; i < int(hardIntermediate.size());++i)
    PosIntermediate.push_back(0);
  for(int i =0; i < int(hardOutgoing1.size());++i)
    PosOutgoing1.push_back(0);
  for(int i =0; i < int(hardOutgoing2.size());++i)
    PosOutgoing2.push_back(0);

  // For QCD dijet or e+e- > jets hard process, do not store any candidates,
  // as to not discrimintate clusterings
  if (  process.compare("pp>jj") == 0
    || process.compare("e+e->jj") == 0
    || process.compare("e+e->(z>jj)") == 0 ){
    for(int i =0; i < int(hardOutgoing1.size());++i)
      PosOutgoing1[i] = 0;
    for(int i =0; i < int(hardOutgoing2.size());++i)
      PosOutgoing2[i] = 0;
    // Done
    return;
  }

  // Initialise vector of particles that were already identified as
  // hard process particles
  vector iPosChecked;

  // If the hard process is specified only by containers, then add all
  // particles matching with the containers to the hard process.
  bool hasOnlyContainers = true;
  for(int i =0; i < int(hardOutgoing1.size());++i)
    if (  hardOutgoing1[i] != 1100
      && hardOutgoing1[i] != 1200
      && hardOutgoing1[i] != 5000)
      hasOnlyContainers = false;
  for(int i =0; i < int(hardOutgoing2.size());++i)
    if (  hardOutgoing2[i] != 1100
      && hardOutgoing2[i] != 1200
      && hardOutgoing2[i] != 5000)
      hasOnlyContainers = false;

  if (hasOnlyContainers){

    PosOutgoing1.resize(0);
    PosOutgoing2.resize(0);

    // Try to find all unmatched hard process leptons.
    // Loop through event to find outgoing lepton
    for(int i=0; i < int(event.size()); ++i){

      // Skip non-final particles
      if ( !event[i].isFinal() ) continue;

      // Skip all particles that have already been identified
      bool skip = false;
      for(int k=0; k < int(iPosChecked.size()); ++k){
        if (i == iPosChecked[k])
          skip = true;
      }
      if (skip) continue;

      for(int j=0; j < int(outgoing2.size()); ++j){

        // If the particle matches an outgoing neutrino, save it
        if ( outgoing2[j] == 1100
          && ( event[i].idAbs() == 11
            || event[i].idAbs() == 13
            || event[i].idAbs() == 15) ){
          PosOutgoing2.push_back(i);
          iPosChecked.push_back(i);
        }

        // If the particle matches an outgoing lepton, save it
        if ( outgoing2[j] == 1200
          && ( event[i].idAbs() == 12
            || event[i].idAbs() == 14
            || event[i].idAbs() == 16) ){
          PosOutgoing2.push_back(i);
          iPosChecked.push_back(i);
        }

        // If the particle matches an outgoing b-quark, save it
        if ( outgoing2[j] == 5000 && event[i].idAbs() == 5 ){
          PosOutgoing2.push_back(i);
          iPosChecked.push_back(i);
        }

      }

      // Skip all particles that have already been identified
      skip = false;
      for(int k=0; k < int(iPosChecked.size()); ++k){
        if (i == iPosChecked[k])
          skip = true;
      }
      if (skip) continue;

      for(int j=0; j < int(outgoing1.size()); ++j){

        // If the particle matches an outgoing neutrino, save it
        if ( outgoing1[j] == 1100
          && ( event[i].idAbs() == 11
            || event[i].idAbs() == 13
            || event[i].idAbs() == 15) ){
          PosOutgoing1.push_back(i);
          iPosChecked.push_back(i);
        }

        // If the particle matches an outgoing lepton, save it
        if ( outgoing1[j] == 1200
          && ( event[i].idAbs() == 12
            || event[i].idAbs() == 14
            || event[i].idAbs() == 16) ){
          PosOutgoing1.push_back(i);
          iPosChecked.push_back(i);
        }

        // If the particle matches an outgoing b-quark, save it
        if ( outgoing1[j] == 5000 && event[i].idAbs() == 5 ){
          PosOutgoing1.push_back(i);
          iPosChecked.push_back(i);
        }

      }
    }

    // Done
    return;
  }

  // Now begin finding candidates when not only containers are used.

  // First try to find final state bosons
  for(int i=0; i < int(intermediates.size()); ++i){

    // Do nothing if the intermediate boson is absent
    if (intermediates[i] == 0) continue;

    // Do nothing if this boson does not match any final state boson
    bool matchesFinalBoson = false;
    for(int j =0; j< int(outgoing1.size()); ++j){
      if ( intermediates[i] == outgoing1[j] )
        matchesFinalBoson = true;
    }
    for(int j =0; j< int(outgoing2.size()); ++j){
      if ( intermediates[i] == outgoing2[j] )
        matchesFinalBoson = true;
    }
    if (!matchesFinalBoson) continue;

    // Loop through event
    for(int j=0; j < int(event.size()); ++j) {

      // Skip all particles that have already been identified
      bool skip = false;
      for(int m=0; m < int(iPosChecked.size()); ++m)
        if (j == iPosChecked[m]) skip = true;
      if (skip) continue;

      // If the particle has a requested intermediate id, check if
      // if is a final state boson
      if ( (event[j].id() == intermediates[i])
        ||(event[j].idAbs() == 24 && intermediates[i] == 2400) ) {

        PosIntermediate[i] = j;
        intermediates[i] = 0;
        // Be careful only to replace one index at a time!
        bool indexSet = false;

        for(int k=0; k < int(outgoing1.size()); ++k) {
          if (event[j].id() == outgoing1[k] && !indexSet){
            PosOutgoing1[k] = j;
            outgoing1[k] = 99;
            indexSet = true;
          }
        }

        for(int k=0; k < int(outgoing2.size()); ++k) {
          if (event[j].id() == outgoing2[k] && !indexSet){
            PosOutgoing2[k] = j;
            outgoing2[k] = 99;
            indexSet = true;
          }
        }

        // Check for W-boson container
        for(int k=0; k < int(outgoing2.size()); ++k) {
          if (event[j].idAbs() == 24 && outgoing2[k] == 2400 && !indexSet ){
            PosOutgoing2[k] = j;
            outgoing2[k] = 99;
            indexSet = true;
          }
        }

        iPosChecked.push_back(j);

      }
    }
  }

  // Second try to find particles coupled to intermediate bosons
  for(int i=0; i < int(intermediates.size()); ++i){

    // Do nothing if the intermediate boson is absent
    if (intermediates[i] == 0) continue;

    // Loop through event
    for(int j=0; j < int(event.size()); ++j) {
      // If the particle has a requested intermediate id, check if
      // daughters are hard process particles
      if ( (event[j].id() == intermediates[i])
        ||(event[j].idAbs() == 24 && intermediates[i] == 2400) ) {
        // If this particle is a potential intermediate
        PosIntermediate[i] = j;
        intermediates[i] = 0;
        // If id's of daughters are good, store position
        int iPos1 = event[j].daughter1();
        int iPos2 = event[j].daughter2();

        // Loop through daughters to check if these contain some hard
        // outgoing particles
        for( int k=iPos1; k <= iPos2; ++k){
          int id = event[k].id();

          // Skip all particles that have already been identified
          bool skip = false;
          for(int m=0; m < int(iPosChecked.size()); ++m)
            if (k == iPosChecked[m]) skip = true;
          if (skip) continue;

          // Check if daughter is hard outgoing particle
          for(int l=0; l < int(outgoing2.size()); ++l)
            if ( outgoing2[l] != 99 ){
                // Found particle id
              if (id == outgoing2[l]
                // Found jet
                || (id > 0 && abs(id) < 10 && outgoing2[l] == 2212) ){
                // Store position
                PosOutgoing2[l] = k;
                // Remove the matched particle from the list
                outgoing2[l] = 99;
                iPosChecked.push_back(k);
                break;
              }

            }
 
          // Check if daughter is hard outgoing antiparticle
          for(int l=0; l < int(outgoing1.size()); ++l)
            if ( outgoing1[l] != 99 ){
                // Found particle id
              if (id == outgoing1[l]
                // Found jet
                || (id < 0 && abs(id) < 10 && outgoing1[l] == 2212) ){
                // Store position
                PosOutgoing1[l] = k;
                // Remove the matched particle from the list
                outgoing1[l] = 99;
                iPosChecked.push_back(k);
                break;
            }

          }

        } // End loop through daughters
      } // End if ids match
    } // End loop through event
  } // End loop though requested intermediates

  // If all outgoing particles were found, done
  bool done = true;
  for(int i=0; i < int(outgoing1.size()); ++i)
    if (outgoing1[i] != 99)
      done = false;
  for(int i=0; i < int(outgoing2.size()); ++i)
    if (outgoing2[i] != 99)
      done = false;
  // Return
  if (done) return;

  // Leptons not associated with resonance are allowed.
  // Try to find all unmatched hard process leptons.
  // Loop through event to find outgoing lepton
  for(int i=0; i < int(event.size()); ++i){
    // Skip non-final particles and final partons
    if ( !event[i].isFinal() || event[i].colType() != 0)
      continue;
    // Skip all particles that have already been identified
    bool skip = false;
    for(int k=0; k < int(iPosChecked.size()); ++k){
      if (i == iPosChecked[k])
        skip = true;
    }
    if (skip) continue;

    // Check if any hard outgoing leptons remain
    for(int j=0; j < int(outgoing2.size()); ++j){
      // Do nothing if this particle has already be found,
      // or if this particle is a jet or quark
      if (  outgoing2[j] == 99
        || outgoing2[j] == 2212
        || abs(outgoing2[j]) < 10)
        continue;

      // If the particle matches an outgoing lepton, save it
      if (  event[i].id() == outgoing2[j] ){
        PosOutgoing2[j] = i;
        outgoing2[j] = 99;
        iPosChecked.push_back(i);
      }
    }

    // Check if any hard outgoing antileptons remain
    for(int j=0; j < int(outgoing1.size()); ++j){
      // Do nothing if this particle has already be found,
      // or if this particle is a jet or quark
      if (  outgoing1[j] == 99
        || outgoing1[j] == 2212
        || abs(outgoing1[j]) < 10)
        continue;

      // If the particle matches an outgoing lepton, save it
      if (event[i].id() == outgoing1[j] ){
        PosOutgoing1[j] = i;
        outgoing1[j] = 99;
        iPosChecked.push_back(i);
      }
    }
  }

  multimap out2copy;
  for(int i=0; i < int(event.size()); ++i)
    for(int j=0; j < int(outgoing2.size()); ++j)
      // Do nothing if this particle has already be found,
      // or if this particle is a jet.
      if ( outgoing2[j] != 99
        && outgoing2[j] != 2212
        && ( abs(outgoing2[j]) < 10
          || (abs(outgoing2[j]) > 1000000 && abs(outgoing2[j]) < 1000010)
          || (abs(outgoing2[j]) > 2000000 && abs(outgoing2[j]) < 2000010)
          || abs(outgoing2[j]) == 1000021 )
        && event[i].isFinal()
        && event[i].id() == outgoing2[j] ){
        out2copy.insert(make_pair(j, i));
      }

  multimap out1copy;
  for(int i=0; i < int(event.size()); ++i)
    for(int j=0; j < int(outgoing1.size()); ++j)
      // Do nothing if this particle has already be found,
      // or if this particle is a jet.
      if ( outgoing1[j] != 99
        && outgoing1[j] != 2212
        && ( abs(outgoing1[j]) < 10
          || (abs(outgoing1[j]) > 1000000 && abs(outgoing1[j]) < 1000010)
          || (abs(outgoing1[j]) > 2000000 && abs(outgoing1[j]) < 2000010)
          || abs(outgoing2[j]) == 1000021 )
        && event[i].isFinal()
        && event[i].id() == outgoing1[j] ){
        out1copy.insert(make_pair(j, i));
      }

  if ( out1copy.size() >  out2copy.size()){

    // In case the index of the multimap is filled twice, make sure not to
    // arbitrarily overwrite set values.
    vector indexWasSet;
    for ( multimap::iterator it = out2copy.begin();
      it != out2copy.end(); ++it ) {
      if ( allowCandidates(it->second, PosOutgoing1, PosOutgoing2, event) ){

        // Skip all particles that have already been identified
        bool skip = false;
        for(int k=0; k < int(iPosChecked.size()); ++k)
          if (it->second == iPosChecked[k]) skip = true;
        // Skip all indices that have already been identified
        for(int k=0; k < int(indexWasSet.size()); ++k)
          if (it->first == indexWasSet[k]) skip = true;
        if (skip) continue;

        // Save parton
        PosOutgoing2[it->first] = it->second;
        // remove entry form lists
        outgoing2[it->first] = 99;
        iPosChecked.push_back(it->second);
        indexWasSet.push_back(it->first);
      }
    }

    indexWasSet.resize(0);
    for ( multimap::iterator it = out1copy.begin();
      it != out1copy.end(); ++it ) {
      if ( allowCandidates(it->second, PosOutgoing1, PosOutgoing2, event) ){

        // Skip all particles that have already been identified
        bool skip = false;
        for(int k=0; k < int(iPosChecked.size()); ++k)
          if (it->second == iPosChecked[k]) skip = true;
        // Skip all indices that have already been identified
        for(int k=0; k < int(indexWasSet.size()); ++k)
          if (it->first == indexWasSet[k]) skip = true;
        if (skip) continue;

        // Save parton
        PosOutgoing1[it->first] = it->second;
        // remove entry form lists
        outgoing1[it->first] = 99;
        iPosChecked.push_back(it->second);
        indexWasSet.push_back(it->first);
      }
    }

  } else {

    // In case the index of the multimap is filled twice, make sure not to
    // arbitraryly overwrite set values.
    vector indexWasSet;
    for ( multimap::iterator it = out1copy.begin();
      it != out1copy.end(); ++it ) {
      if ( allowCandidates(it->second, PosOutgoing1, PosOutgoing2, event) ){

        // Skip all particles that have already been identified
        bool skip = false;
        for(int k=0; k < int(iPosChecked.size()); ++k)
          if (it->second == iPosChecked[k]) skip = true;
        // Skip all indices that have already been identified
        for(int k=0; k < int(indexWasSet.size()); ++k)
          if (it->first == indexWasSet[k]) skip = true;
        if (skip) continue;

        // Save parton
        PosOutgoing1[it->first] = it->second;
        // remove entry form lists
        outgoing1[it->first] = 99;
        iPosChecked.push_back(it->second);
        indexWasSet.push_back(it->first);
      }
    }

    indexWasSet.resize(0);
    for ( multimap::iterator it = out2copy.begin();
      it != out2copy.end(); ++it ) {
      if ( allowCandidates(it->second, PosOutgoing1, PosOutgoing2, event) ){

        // Skip all particles that have already been identified
        bool skip = false;
        for(int k=0; k < int(iPosChecked.size()); ++k)
          if (it->second == iPosChecked[k]) skip = true;
        // Skip all indices that have already been identified
        for(int k=0; k < int(indexWasSet.size()); ++k)
          if (it->first == indexWasSet[k]) skip = true;
        if (skip) continue;

        // Save parton
        PosOutgoing2[it->first] = it->second;
        // remove entry form lists
        outgoing2[it->first] = 99;
        iPosChecked.push_back(it->second);
        indexWasSet.push_back(it->first);
      }
    }
  }

  // It sometimes happens that MadEvent does not put a
  // heavy coloured resonance into the LHE file, even if requested.
  // This means that the decay products of this resonance need to be
  // found separately.
  // Loop through event to find hard process (anti)quarks
  for(int i=0; i < int(event.size()); ++i){

    // Skip non-final particles and final partons
    if ( !event[i].isFinal() || event[i].colType() == 0)
      continue;

    // Skip all particles that have already been identified
    bool skip = false;
    for(int k=0; k < int(iPosChecked.size()); ++k){
      if (i == iPosChecked[k])
        skip = true;
    }
    if (skip) continue;

    // Check if any hard outgoing quarks remain
    for(int j=0; j < int(outgoing2.size()); ++j){
      // Do nothing if this particle has already be found,
      // or if this particle is a jet, lepton container or lepton
      if (  outgoing2[j] == 99
        || outgoing2[j] == 2212
        || abs(outgoing2[j]) > 10)
        continue;
      // If the particle matches an outgoing quark, save it
      if (event[i].id() == outgoing2[j]){
        // Save parton
        PosOutgoing2[j] = i;
        // remove entry form lists
        outgoing2[j] = 99;
        iPosChecked.push_back(i);
      }
    }

    // Check if any hard outgoing antiquarks remain
    for(int j=0; j < int(outgoing1.size()); ++j){
      // Do nothing if this particle has already be found,
      // or if this particle is a jet, lepton container or lepton
      if (  outgoing1[j] == 99
        || outgoing1[j] == 2212
        || abs(outgoing1[j]) > 10)
        continue;
      // If the particle matches an outgoing antiquark, save it
      if (event[i].id() == outgoing1[j]){
        // Save parton
        PosOutgoing1[j] = i;
        // Remove parton from list
        outgoing1[j] = 99;
        iPosChecked.push_back(i);
      }
    }
  }

  // Done
}

//--------------------------------------------------------------------------

// Function to check if the particle event[iPos] matches any of
// the stored outgoing particles of the hard subprocess

bool HardProcess::matchesAnyOutgoing(int iPos, const Event& event){

  // Match quantum numbers of any first outgoing candidate
  bool matchQN1 = false;
  // Match quantum numbers of any second outgoing candidate
  bool matchQN2 = false;
  // Match parton in the hard process,
  // or parton from decay of electroweak boson in hard process,
  // or parton from decay of electroweak boson from decay of top
  bool matchHP = false;

  // Check outgoing candidates
  for(int i=0; i < int(PosOutgoing1.size()); ++i)
    // Compare particle properties
    if ( event[iPos].id()         == state[PosOutgoing1[i]].id()
     && event[iPos].colType()    == state[PosOutgoing1[i]].colType()
     && event[iPos].chargeType() == state[PosOutgoing1[i]].chargeType()
     && ( ( event[iPos].col() > 0
         && event[iPos].col() == state[PosOutgoing1[i]].col())
       || ( event[iPos].acol() > 0
         && event[iPos].acol() == state[PosOutgoing1[i]].acol()))
     && event[iPos].charge()     == state[PosOutgoing1[i]].charge() )
      matchQN1 = true;

  // Check outgoing candidates
  for(int i=0; i < int(PosOutgoing2.size()); ++i)
    // Compare particle properties
    if ( event[iPos].id()         == state[PosOutgoing2[i]].id()
     && event[iPos].colType()    == state[PosOutgoing2[i]].colType()
     && event[iPos].chargeType() == state[PosOutgoing2[i]].chargeType()
     && ( ( event[iPos].col() > 0
         && event[iPos].col() == state[PosOutgoing2[i]].col())
       || ( event[iPos].acol() > 0
         && event[iPos].acol() == state[PosOutgoing2[i]].acol()))
     && event[iPos].charge()     == state[PosOutgoing2[i]].charge() )
      matchQN2 = true;

  // Check if maps to hard process:
  // Check that particle is in hard process
  if ( event[iPos].mother1()*event[iPos].mother2() == 12
      // Or particle has taken recoil from first splitting
      || (  event[iPos].status() == 44
         && event[event[iPos].mother1()].mother1()
           *event[event[iPos].mother1()].mother2() == 12 )
      // Or particle has on-shell resonace as mother
      || (  event[iPos].status() == 23
         && event[event[iPos].mother1()].mother1()
           *event[event[iPos].mother1()].mother2() == 12 )
      // Or particle has on-shell resonace as mother,
      // which again has and on-shell resonance as mother
      || (  event[iPos].status() == 23
         && event[event[iPos].mother1()].status() == -22
         && event[event[event[iPos].mother1()].mother1()].status() == -22
         && event[event[event[iPos].mother1()].mother1()].mother1()
           *event[event[event[iPos].mother1()].mother1()].mother2() == 12 ) )
      matchHP = true;

  // Done
  return ( matchHP && (matchQN1 || matchQN2) );

}


//--------------------------------------------------------------------------

// Function to check if instead of the particle event[iCandidate], another
// particle could serve as part of the hard process. Assumes that iCandidate
// is already stored as part of the hard process.

bool HardProcess::findOtherCandidates(int iPos, const Event& event,
    bool doReplace){

  // Return value
  bool foundCopy = false;

  // Save stored candidates' properties.
  int id  = event[iPos].id();
  int col = event[iPos].col();
  int acl = event[iPos].acol();

  // If the particle's mother is an identified intermediate resonance,
  // then do not attempt any replacement.
  int iMoth1 = event[iPos].mother1();
  int iMoth2 = event[iPos].mother2();
  if ( iMoth1 > 0 && iMoth2 == 0 ) {
    bool hasIdentifiedMother = false;
    for(int i=0; i < int(PosIntermediate.size()); ++i)
      // Compare particle properties
      if ( event[iMoth1].id()         == state[PosIntermediate[i]].id()
        && event[iMoth1].colType()    == state[PosIntermediate[i]].colType()
        && event[iMoth1].chargeType() == state[PosIntermediate[i]].chargeType()
        && event[iMoth1].col()        == state[PosIntermediate[i]].col()
        && event[iMoth1].acol()       == state[PosIntermediate[i]].acol()
        && event[iMoth1].charge()     == state[PosIntermediate[i]].charge() )
         hasIdentifiedMother = true;
    if(hasIdentifiedMother && event[iMoth1].id() != id) return false;
  }

  // Find candidate amongst the already stored ME process candidates.
  vector candidates1;
  vector candidates2;
  // Check outgoing candidates
  for(int i=0; i < int(PosOutgoing1.size()); ++i)
    // Compare particle properties
    if ( id  == state[PosOutgoing1[i]].id()
      && col == state[PosOutgoing1[i]].col()
      && acl == state[PosOutgoing1[i]].acol() )
      candidates1.push_back(i);
  // Check outgoing candidates
  for(int i=0; i < int(PosOutgoing2.size()); ++i)
    // Compare particle properties
    if ( id  == state[PosOutgoing2[i]].id()
      && col == state[PosOutgoing2[i]].col()
      && acl == state[PosOutgoing2[i]].acol() )
      candidates2.push_back(i);

  // If more / less than one stored candidate for iPos has been found, exit.
  if ( candidates1.size() + candidates2.size() != 1 ) return false;

  // Now check for other allowed candidates.
  map further1;
  for(int i=0; i < int(state.size()); ++i)
    for(int j=0; j < int(PosOutgoing1.size()); ++j)
      // Do nothing if this particle has already be found,
      // or if this particle is a jet, lepton container or lepton
      if ( state[i].isFinal()
        && i != PosOutgoing1[j]
        && state[PosOutgoing1[j]].id() == id
        && state[i].id() == id ){
        // Declare vector of already existing candiates.
        vector newPosOutgoing1;
        for(int k=0; k < int(PosOutgoing1.size()); ++k)
          if ( k != j ) newPosOutgoing1.push_back( PosOutgoing1[k] );
        // If allowed, remember replacment parton.
        if ( allowCandidates(i, newPosOutgoing1, PosOutgoing2, state) )
          further1.insert(make_pair(j, i));
      }

  // Now check for other allowed candidates.
  map further2;
  for(int i=0; i < int(state.size()); ++i)
    for(int j=0; j < int(PosOutgoing2.size()); ++j)
      // Do nothing if this particle has already be found,
      // or if this particle is a jet, lepton container or lepton
      if ( state[i].isFinal()
        && i != PosOutgoing2[j]
        && state[PosOutgoing2[j]].id() == id
        && state[i].id() == id ){
        // Declare vector of already existing candidates.
        vector newPosOutgoing2;
        for(int k=0; k < int(PosOutgoing2.size()); ++k)
          if ( k != j ) newPosOutgoing2.push_back( PosOutgoing2[k] );
        // If allowed, remember replacment parton.
        if ( allowCandidates(i, PosOutgoing1, newPosOutgoing2, state) )
          further2.insert(make_pair(j, i));
      }

  // Decide of a replacment candidate has been found.
  foundCopy = (doReplace)
            ? exchangeCandidates(candidates1, candidates2, further1, further2)
            : (further1.size() + further2.size() > 0);

  // Done
  return foundCopy;

}

//--------------------------------------------------------------------------

// Function to exchange hard process candidates.

bool HardProcess::exchangeCandidates( vector candidates1,
    vector candidates2, map further1, map further2) {

  int nOld1 = candidates1.size();
  int nOld2 = candidates2.size();
  int nNew1 = further1.size();
  int nNew2 = further2.size();
  bool exchanged = false;
  // Replace, if one-to-one correspondence exists.
  if ( nOld1 == 1 && nOld2 == 0 && nNew1 == 1 && nNew2 == 0){
    PosOutgoing1[further1.begin()->first] = further1.begin()->second;
    exchanged = true;
  } else if ( nOld1 == 0 && nOld2 == 1 && nNew1 == 0 && nNew2 == 1){
    PosOutgoing2[further2.begin()->first] = further2.begin()->second;
    exchanged = true;
  // Else simply swap with the first candidate.
  } else if ( nNew1 >  1 && nNew2 == 0 ) {
    PosOutgoing1[further1.begin()->first] = further1.begin()->second;
    exchanged = true;
  } else if ( nNew1 == 0 && nNew2 >  0 ) {
    PosOutgoing2[further2.begin()->first] = further2.begin()->second;
    exchanged = true;
  }

  // Done
  return exchanged;

}

//--------------------------------------------------------------------------

// Function to get the number of coloured final state partons in the
// hard process

int HardProcess::nQuarksOut(){
  int nFin =0;
  for(int i =0; i< int(hardOutgoing1.size()); ++i){
    if (hardOutgoing1[i] == 2212 || abs(hardOutgoing1[i]) < 10) nFin++;
  }
  for(int i =0; i< int(hardOutgoing2.size()); ++i){
    if (hardOutgoing2[i] == 2212 || abs(hardOutgoing2[i]) < 10) nFin++;
  }
  // For very loose hard process definition, check number of hard process
  // b-quarks explicitly.
  for(int i =0; i< int(hardOutgoing1.size()); ++i)
    if (hardOutgoing1[i] == 5000)
      for(int j =0; j< int(PosOutgoing1.size()); ++j)
        if (state[PosOutgoing1[j]].idAbs() == 5)
          nFin++;
  for(int i =0; i< int(hardOutgoing2.size()); ++i)
    if (hardOutgoing2[i] == 5000)
      for(int j =0; j< int(PosOutgoing2.size()); ++j)
        if (state[PosOutgoing2[j]].idAbs() == 5)
          nFin++;
  return nFin;
}

//--------------------------------------------------------------------------

// Function to get the number of uncoloured final state particles in the
// hard process

int HardProcess::nLeptonOut(){
  int nFin =0;
  for(int i =0; i< int(hardOutgoing1.size()); ++i){
    if (abs(hardOutgoing1[i]) > 10 && abs(hardOutgoing1[i]) < 20) nFin++;
    // Bookkeep MSSM neutralinos as leptons
    if (abs(hardOutgoing1[i]) == 1000022) nFin++;
    // Bookkeep sleptons as leptons
    if ( abs(hardOutgoing1[i]) == 1000011 || abs(hardOutgoing1[i]) == 2000011
      || abs(hardOutgoing1[i]) == 1000013 || abs(hardOutgoing1[i]) == 2000013
      || abs(hardOutgoing1[i]) == 1000015 || abs(hardOutgoing1[i]) == 2000015)
      nFin++;
  }
  for(int i =0; i< int(hardOutgoing2.size()); ++i){
    if (abs(hardOutgoing2[i]) > 10 && abs(hardOutgoing2[i]) < 20) nFin++;
    // Bookkeep MSSM neutralinos as leptons
    if (abs(hardOutgoing2[i]) == 1000022) nFin++;
    // Bookkeep sleptons as leptons
    if ( abs(hardOutgoing2[i]) == 1000011 || abs(hardOutgoing2[i]) == 2000011
      || abs(hardOutgoing2[i]) == 1000013 || abs(hardOutgoing2[i]) == 2000013
      || abs(hardOutgoing2[i]) == 1000015 || abs(hardOutgoing2[i]) == 2000015)
      nFin++;
  }

  // For very loose hard process definition, check number of hard process
  // lepton explicitly.
  // Check lepton / neutrino containers as leptons
  for(int i =0; i< int(hardOutgoing1.size()); ++i)
    if (hardOutgoing1[i] == 1100)
      for(int j =0; j< int(PosOutgoing1.size()); ++j)
        if (  abs(state[PosOutgoing1[j]].id()) == 11
          || abs(state[PosOutgoing1[j]].id()) == 13
          || abs(state[PosOutgoing1[j]].id()) == 15 )
          nFin++;
  for(int i =0; i< int(hardOutgoing2.size()); ++i)
    if (hardOutgoing2[i] == 1200)
      for(int j =0; j< int(PosOutgoing2.size()); ++j)
        if (  abs(state[PosOutgoing2[j]].id()) == 12
          || abs(state[PosOutgoing2[j]].id()) == 14
          || abs(state[PosOutgoing2[j]].id()) == 16 )
          nFin++;
  return nFin;
}

//--------------------------------------------------------------------------

// Function to get the number of uncoloured final state particles in the
// hard process

int HardProcess::nBosonsOut(){
  int nFin =0;
  for(int i =0; i< int(hardOutgoing1.size()); ++i){
    if (abs(hardOutgoing1[i]) > 20 && abs(hardOutgoing1[i]) <= 25) nFin++;
  }
  for(int i =0; i< int(hardOutgoing2.size()); ++i){
    if (abs(hardOutgoing2[i]) > 20 && abs(hardOutgoing2[i]) <= 25) nFin++;
    if ( hardOutgoing2[i] == 2400) nFin++;
  }
  return nFin;
}

//--------------------------------------------------------------------------

// Function to get the number of coloured initial state partons in the
// hard process

int HardProcess::nQuarksIn(){
  int nIn =0;
  if (hardIncoming1 == 2212 || abs(hardIncoming1) < 10) nIn++;
  if (hardIncoming2 == 2212 || abs(hardIncoming2) < 10) nIn++;
  return nIn;
}

//--------------------------------------------------------------------------

// Function to get the number of uncoloured initial state particles in the
// hard process

int HardProcess::nLeptonIn(){
  int nIn =0;
  if (abs(hardIncoming1) > 10 && abs(hardIncoming1) < 20) nIn++;
  if (abs(hardIncoming2) > 10 && abs(hardIncoming2) < 20) nIn++;
  return nIn;
}

//--------------------------------------------------------------------------

// Function to report if a resonace decay was found in the
// 2->2 hard sub-process in the current state

int HardProcess::hasResInCurrent(){
  for(int i =0; i< int(PosIntermediate.size()); ++i)
    if (PosIntermediate[i] == 0) return 0;
  // Do not count final state bosons as resonaces
  for(int i =0; i< int(PosIntermediate.size()); ++i){
    for(int j =0; j< int(PosOutgoing1.size()); ++j){
      if ( PosIntermediate[i] == PosOutgoing1[j] )
        return 0;
    }
    for(int j =0; j< int(PosOutgoing2.size()); ++j){
      if ( PosIntermediate[i] == PosOutgoing2[j] )
        return 0;
    }
  }
  return 1;
}

//--------------------------------------------------------------------------

// Function to report the number of resonace decays in the 2->2 sub-process
// of the  current state

int HardProcess::nResInCurrent(){
  int nRes = 0;
  for(int i =0; i< int(PosIntermediate.size()); ++i){
    if (PosIntermediate[i] != 0) {
      bool matchesFinalBoson = false;
      for(int j =0; j< int(PosOutgoing1.size()); ++j){
        if ( PosIntermediate[i] == PosOutgoing1[j] )
          matchesFinalBoson = true;
      }
      for(int j =0; j< int(PosOutgoing2.size()); ++j){
        if ( PosIntermediate[i] == PosOutgoing2[j] )
          matchesFinalBoson = true;
      }
      if (!matchesFinalBoson) nRes++;
    }
  }
  return nRes;
}

//--------------------------------------------------------------------------

// Function to report if a resonace decay was found in the
// 2->2 hard core process

bool HardProcess::hasResInProc(){

  for(int i =0; i< int(hardIntermediate.size()); ++i)
    if (hardIntermediate[i] == 0) return false;
  // Do not count final state bosons as resonaces
  for(int i =0; i< int(hardIntermediate.size()); ++i){
    for(int j =0; j< int(hardOutgoing1.size()); ++j){
      if ( hardIntermediate[i] == hardOutgoing1[j] )
        return false;
    }
    for(int j =0; j< int(hardOutgoing2.size()); ++j){
      if ( hardIntermediate[i] == hardOutgoing2[j] )
        return false;
    }
  }
  return true;
}

//--------------------------------------------------------------------------

// Function to print the hard process (for debug)

void HardProcess::list() const {
  cout << "   Hard Process: ";
  cout << " \t " << hardIncoming1 << " + " << hardIncoming2;
  cout << " \t -----> \t ";
  for(int i =0; i < int(hardIntermediate.size());++i)
    cout << hardIntermediate[i] << " ";
  cout << " \t -----> \t ";
  for(int i =0; i < int(hardOutgoing1.size());++i)
    cout << hardOutgoing1[i] << " ";
  for(int i =0; i < int(hardOutgoing2.size());++i)
    cout << hardOutgoing2[i] << " ";
  cout << endl;
}

//--------------------------------------------------------------------------

// Function to list the hard process candiates in the matrix element state
// (for debug)

void HardProcess::listCandidates() const {
  cout << "   Hard Process candidates: ";
  cout << " \t " << hardIncoming1 << " + " << hardIncoming2;
  cout << " \t -----> \t ";
  for(int i =0; i < int(PosIntermediate.size());++i)
    cout << PosIntermediate[i] << " ";
  cout << " \t -----> \t ";
  for(int i =0; i < int(PosOutgoing1.size());++i)
    cout << PosOutgoing1[i] << " ";
  for(int i =0; i < int(PosOutgoing2.size());++i)
    cout << PosOutgoing2[i] << " ";
  cout << endl;
}

//--------------------------------------------------------------------------

// Function to clear hard process information

void HardProcess::clear() {

  // Clear flavour of the first incoming particle
  hardIncoming1 = hardIncoming2 = 0;
  // Clear outgoing particles
  hardOutgoing1.resize(0);
  hardOutgoing2.resize(0);
  // Clear intermediate bosons in the hard 2->2
  hardIntermediate.resize(0);

  // Clear reference event
  state.clear();

  // Clear potential positions of outgoing particles in reference event
  PosOutgoing1.resize(0);
  PosOutgoing2.resize(0);
  // Clear potential positions of intermediate bosons in reference event
  PosIntermediate.resize(0);

  // Clear merging scale read from LHE file
  tms = 0.;

}

//==========================================================================

// The MergingHooks class.

//--------------------------------------------------------------------------

// Initialise MergingHooks class

void MergingHooks::init( Settings settings, Info* infoPtrIn,
  ParticleData* particleDataPtrIn, PartonSystems* partonSystemsPtrIn,
  ostream& os){

  // Save pointers
  infoPtr               = infoPtrIn;
  particleDataPtr       = particleDataPtrIn;
  partonSystemsPtr      = partonSystemsPtrIn;

  // Initialise AlphaS objects for reweighting
  double alphaSvalueFSR = settings.parm("TimeShower:alphaSvalue");
  int    alphaSorderFSR = settings.mode("TimeShower:alphaSorder");
  int    alphaSnfmax    = settings.mode("StandardModel:alphaSnfmax");
  int    alphaSuseCMWFSR= settings.flag("TimeShower:alphaSuseCMW");
  AlphaS_FSRSave.init(alphaSvalueFSR, alphaSorderFSR, alphaSnfmax,
    alphaSuseCMWFSR);
  double alphaSvalueISR = settings.parm("SpaceShower:alphaSvalue");
  int    alphaSorderISR = settings.mode("SpaceShower:alphaSorder");
  int    alphaSuseCMWISR= settings.flag("SpaceShower:alphaSuseCMW");
  AlphaS_ISRSave.init(alphaSvalueISR, alphaSorderISR, alphaSnfmax,
    alphaSuseCMWISR);

  // Initialise AlphaEM objects for reweighting
  int    alphaEMFSRorder = settings.mode("TimeShower:alphaEMorder");
  AlphaEM_FSRSave.init(alphaEMFSRorder, &settings);

  // Initialise merging switches
  doUserMergingSave      = settings.flag("Merging:doUserMerging");
  // Initialise automated MadGraph kT merging
  doMGMergingSave        = settings.flag("Merging:doMGMerging");
  // Initialise kT merging
  doKTMergingSave        = settings.flag("Merging:doKTMerging");
  // Initialise evolution-pT merging
  doPTLundMergingSave    = settings.flag("Merging:doPTLundMerging");
  // Initialise \Delta_R_{ij}, pT_i Q_{ij} merging
  doCutBasedMergingSave  = settings.flag("Merging:doCutBasedMerging");
  // Initialise exact definition of kT
  ktTypeSave             = settings.mode("Merging:ktType");

  // Initialise NL3 switches.
  doNL3TreeSave          = settings.flag("Merging:doNL3Tree");
  doNL3LoopSave          = settings.flag("Merging:doNL3Loop");
  doNL3SubtSave          = settings.flag("Merging:doNL3Subt");
  bool doNL3             = doNL3TreeSave || doNL3LoopSave || doNL3SubtSave;

  // Initialise UNLOPS switches.
  doUNLOPSTreeSave      =  settings.flag("Merging:doUNLOPSTree");
  doUNLOPSLoopSave      =  settings.flag("Merging:doUNLOPSLoop");
  doUNLOPSSubtSave      =  settings.flag("Merging:doUNLOPSSubt");
  doUNLOPSSubtNLOSave   =  settings.flag("Merging:doUNLOPSSubtNLO");
  bool doUNLOPS         = doUNLOPSTreeSave || doUNLOPSLoopSave
                       || doUNLOPSSubtSave || doUNLOPSSubtNLOSave;

  // Initialise UMEPS switches
  doUMEPSTreeSave      =  settings.flag("Merging:doUMEPSTree");
  doUMEPSSubtSave      =  settings.flag("Merging:doUMEPSSubt");
  nReclusterSave       =  settings.mode("Merging:nRecluster");
  nQuarksMergeSave     =  settings.mode("Merging:nQuarksMerge");
  bool doUMEPS         =  doUMEPSTreeSave || doUMEPSSubtSave;

  // Flag to only do phase space cut.
  doEstimateXSection   =  settings.flag("Merging:doXSectionEstimate");

  // Get core process from user input
  processSave           = settings.word("Merging:Process");

  // Clear hard process
  hardProcess.clear();

  // Initialise input event.
  inputEvent.init("(hard process)", particleDataPtr);
  doRemoveDecayProducts = settings.flag("Merging:mayRemoveDecayProducts");

  // Initialise the hard process
  if ( doMGMergingSave )
    hardProcess.initOnLHEF(lheInputFile, particleDataPtr);
  else
    hardProcess.initOnProcess(processSave, particleDataPtr);

  // Parameters for reconstruction of evolution scales
  includeMassiveSave        = settings.flag("Merging:includeMassive");
  enforceStrongOrderingSave = settings.flag("Merging:enforceStrongOrdering");
  scaleSeparationFactorSave = settings.parm("Merging:scaleSeparationFactor");
  orderInRapiditySave       = settings.flag("Merging:orderInRapidity");

  // Parameters for choosing history probabilistically
  nonJoinedNormSave     = settings.parm("Merging:nonJoinedNorm");
  fsrInRecNormSave      = settings.parm("Merging:fsrInRecNorm");
  pickByFullPSave       = settings.flag("Merging:pickByFullP");
  pickByPoPT2Save       = settings.flag("Merging:pickByPoPT2");
  includeRedundantSave  = settings.flag("Merging:includeRedundant");

  // Parameters for scale choices
  unorderedScalePrescipSave   =
    settings.mode("Merging:unorderedScalePrescrip");
  unorderedASscalePrescipSave =
    settings.mode("Merging:unorderedASscalePrescrip");
  unorderedPDFscalePrescipSave =
    settings.mode("Merging:unorderedPDFscalePrescrip");
  incompleteScalePrescipSave  =
    settings.mode("Merging:incompleteScalePrescrip");

  // Parameter for allowing swapping of one colour index while reclustering
  allowColourShufflingSave  =
    settings.flag("Merging:allowColourShuffling");

  // Parameters to allow setting hard process scales to default (dynamical)
  // Pythia values.
  resetHardQRenSave     =  settings.flag("Merging:usePythiaQRenHard");
  resetHardQFacSave     =  settings.flag("Merging:usePythiaQFacHard");

  // Parameters for choosing history by sum(|pT|)
  pickBySumPTSave       = settings.flag("Merging:pickBySumPT");
  herwigAcollFSRSave    = settings.parm("Merging:aCollFSR");
  herwigAcollISRSave    = settings.parm("Merging:aCollISR");

  // Information on the shower cut-off scale
  pT0ISRSave            = settings.parm("SpaceShower:pT0Ref");
  pTcutSave             = settings.parm("SpaceShower:pTmin");
  pTcutSave             = max(pTcutSave,pT0ISRSave);

  // Initialise CKKWL weight
  weightCKKWLSave = 1.;
  weightFIRSTSave = 0.;
  nMinMPISave = 100;
  muMISave = -1.;

  // Initialise merging scale
  tmsValueSave = 0.;
  tmsListSave.resize(0);

  kFactor0jSave         = settings.parm("Merging:kFactor0j");
  kFactor1jSave         = settings.parm("Merging:kFactor1j");
  kFactor2jSave         = settings.parm("Merging:kFactor2j");

  muFSave               = settings.parm("Merging:muFac");
  muRSave               = settings.parm("Merging:muRen");
  muFinMESave           = settings.parm("Merging:muFacInME");
  muRinMESave           = settings.parm("Merging:muRenInME");

  doWClusteringSave     = settings.flag("Merging:allowWClustering");
  doSQCDClusteringSave  = settings.flag("Merging:allowSQCDClustering");
  DparameterSave        = settings.parm("Merging:Dparameter");

  // Save merging scale on maximal number of jets
  if (  doKTMergingSave || doUserMergingSave || doPTLundMergingSave
    || doUMEPS ) {
    // Read merging scale (defined in kT) from input parameter.
    tmsValueSave    = settings.parm("Merging:TMS");
    nJetMaxSave     = settings.mode("Merging:nJetMax");
    nJetMaxNLOSave  = -1;
  } else if (doMGMergingSave) {
    // Read merging scale (defined in kT) from LHE file.
    tmsValueSave    = hardProcess.tms;
    nJetMaxSave     = settings.mode("Merging:nJetMax");
    nJetMaxNLOSave  = -1;
  } else if (doCutBasedMergingSave) {

    // Save list of cuts defining the merging scale.
    nJetMaxSave     = settings.mode("Merging:nJetMax");
    nJetMaxNLOSave  = -1;
    // Write tms cut values to list of cut values,
    // ordered by DeltaR_{ij}, pT_{i}, Q_{ij}.
    tmsListSave.resize(0);
    double drms     = settings.parm("Merging:dRijMS");
    double ptms     = settings.parm("Merging:pTiMS");
    double qms      = settings.parm("Merging:QijMS");
    tmsListSave.push_back(drms);
    tmsListSave.push_back(ptms);
    tmsListSave.push_back(qms);

  }

  if ( doNL3 || doUNLOPS || doEstimateXSection ) {
    tmsValueSave    = settings.parm("Merging:TMS");
    nJetMaxSave     = settings.mode("Merging:nJetMax");
    nJetMaxNLOSave  = settings.mode("Merging:nJetMaxNLO");
  }

  bool writeBanner =  doKTMergingSave || doMGMergingSave
                   || doUserMergingSave
                   || doNL3 || doUNLOPS || doUMEPS
                   || doPTLundMergingSave || doCutBasedMergingSave;

  if (!writeBanner) return;

  // Write banner
  os << "\n *------------------ MEPS Merging Initialization  ---------------"
     << "---*";
  os << "\n |                                                               "
     << "   |\n";
  if ( doKTMergingSave || doMGMergingSave || doUserMergingSave
    || doPTLundMergingSave || doCutBasedMergingSave )
    os << " | CKKW-L merge                                                  "
       << "   |\n"
       << " |"<< setw(34) << processSave << "  with up to"
       << setw(3) << nJetMaxSave << " additional jets |\n";
  else if ( doNL3 )
    os << " | NL3 merge                                                     "
       << "   |\n"
       << " |" << setw(31) << processSave << " with jets up to"
       << setw(3) << nJetMaxNLOSave << " correct to NLO |\n"
       << " | and up to" << setw(3) << nJetMaxSave
       << " additional jets included by CKKW-L merging at LO    |\n";
  else if ( doUNLOPS )
    os << " | UNLOPS merge                                                  "
       << "   |\n"
       << " |" << setw(31) << processSave << " with jets up to"
       << setw(3)<< nJetMaxNLOSave << " correct to NLO |\n"
       << " | and up to" << setw(3) << nJetMaxSave
       << " additional jets included by UMEPS merging at LO     |\n";
  else if ( doUMEPS )
    os << " | UMEPS merge                                                   "
       << "   |\n"
       << " |" << setw(34) << processSave << "  with up to"
       << setw(3) << nJetMaxSave << " additional jets |\n";

  if ( doKTMergingSave )
    os << " | Merging scale is defined in kT, with value ktMS = "
       << tmsValueSave << " GeV";
  else if ( doMGMergingSave )
    os << " | Perform automanted MG/ME merging \n"
       << " | Merging scale is defined in kT, with value ktMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUserMergingSave )
    os << " | Merging scale is defined by the user, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << "     |";
  else if ( doPTLundMergingSave )
    os << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doCutBasedMergingSave )
    os << " | Merging scale is defined by combination of Delta R_{ij}, pT_i "
       << "   |\n"
       << " | and Q_{ij} cut, with values                                   "
       << "   |\n"
       << " | Delta R_{ij,min} = "
       << setw(7) << scientific << setprecision(2) << tmsListSave[0]
       << "                                      |\n"
       << " | pT_{i,min}       = "
       << setw(6) << fixed << setprecision(1) << tmsListSave[1]
       << " GeV                                    |\n"
       << " | Q_{ij,min}       = "
       << setw(6) << fixed << setprecision(1) << tmsListSave[2]
       << " GeV                                    |";
  else if ( doNL3TreeSave )
    os << " | Generate tree-level O(alpha_s)-subtracted events              "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doNL3LoopSave )
    os << " | Generate virtual correction unit-weight events                "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doNL3SubtSave )
    os << " | Generate reclustered tree-level events                        "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUNLOPSTreeSave )
    os << " | Generate tree-level O(alpha_s)-subtracted events              "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUNLOPSLoopSave )
    os << " | Generate virtual correction unit-weight events                "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUNLOPSSubtSave )
    os << " | Generate reclustered tree-level events                        "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUNLOPSSubtNLOSave )
    os << " | Generate reclustered loop-level events                        "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUMEPSTreeSave )
    os << " | Generate tree-level events                                    "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";
  else if ( doUMEPSSubtSave )
    os << " | Generate reclustered tree-level events                        "
       << "   |\n"
       << " | Merging scale is defined by Lund pT, with value tMS = "
       << setw(6) << fixed << setprecision(1) << tmsValueSave << " GeV |";

  os << "\n |                                                               "
     << "   |";
  os << "\n *-------------- END MEPS Merging Initialization  ---------------"
     << "---*\n\n";

}

//--------------------------------------------------------------------------

// Function to check if emission should be rejected.

bool MergingHooks::doVetoEmission( const Event& event) {

  // Do nothing in trial showers, or after first step.
  if ( doIgnoreEmissionsSave ) return false;

  // Do nothing in CKKW-L
  if (  doUserMerging() || doMGMerging() || doKTMerging()
    ||  doPTLundMerging() || doCutBasedMerging() )
     return false;

  // For NLO merging, count and veto emissions above the merging scale
  bool veto = false;
  // Get number of clustering steps
  int nSteps  = getNumberOfClusteringSteps(event);
  // Get merging scale in current event
  double tnow = rhoms( event, false);

  // Get maximal number of additional jets
  int nJetMax = nMaxJets();
  // Always remove emissions above the merging scale for
  // samples containing reclusterings!
  if ( nRecluster() > 0 ) nSteps = max(1, min(nJetMax-2, 1));
  // Check veto condition
  if ( nSteps - 1 < nJetMax && nSteps >= 1 && tnow > tms() ) veto = true;

  // Do not veto if state already includes MPI.
  if ( infoPtr->nMPI() > 1 ) veto = false;

  // When performing NL3 merging of tree-level events, reset the
  // CKKWL weight.
  if ( veto && doNL3Tree() ) setWeightCKKWL(0.);

  // If the emission is allowed, do not check any further emissions
  if ( !veto ) doIgnoreEmissionsSave = true;

  // Done
  return veto;

}

//--------------------------------------------------------------------------

// Function to check if emission should be rejected.

bool MergingHooks::doVetoStep( const Event& process, const Event& event,
  bool doResonance ) {

  // Do nothing in trial showers, or after first step.
  if ( doIgnoreStepSave && !doResonance ) return false;

  // Do nothing in UMEPS or UNLOPS
  if ( doUMEPSTree() || doUMEPSSubt() || doUMEPSMerging() || doUNLOPSTree()
    || doUNLOPSLoop() || doUNLOPSSubt() || doUNLOPSSubtNLO()
    || doUNLOPSMerging() )
    return false;

  // Get number of clustering steps. If necessary, remove resonance
  // decay products first.
  int nSteps  = (doResonance) ? getNumberOfClusteringSteps(process)
              : getNumberOfClusteringSteps( bareEvent( process, false) );
  // Get maximal number of additional jets.
  int nJetMax = nMaxJets();
  // Get merging scale in current event.
  double tnow = tmsNow( event );

  // For non-resonant showers, simply check veto. If event should indeed be
  // vetoed, save the current pT and weights in case the veto needs to be
  // revoked.
  if ( !doResonance ) {

    // Store pT to check if veto needs to be revoked later.
    pTsave = infoPtr->pTnow();
    if ( nRecluster() == 1) nSteps--;

    // Check merging veto condition.
    bool veto = false;
    if ( nSteps > nMaxJetsNLO() && nSteps < nJetMax && tnow > tms() ) {
      // Set weight to zero if event should be vetoed.
      weightCKKWL1Save = 0.;
      // Save weight before veto, in case veto needs to be revoked.
      weightCKKWL2Save = getWeightCKKWL();
      // Reset stored weights.
      setWeightCKKWL(0.);
      veto = true;
    }

    // Done
    return veto;

  // For resonant showers, check if any previous veto should be revoked.
  // This means we treat showers off resonance decay products identical to
  // MPI: If a hard resonance emission has been produced, the event should
  // have been kept. Following this reasoning, it might be necessary to revoke
  // any previous veto.
  } else {

    // Initialise switch to revoke vetoing.
    bool revokeVeto = false;

    // Nothing to check if pTsave was not stored, i.e. no emission to
    // possibly veto was recorded.
    // Only allow revoking the veto for diboson processes, with resonant
    // electroweak bosons
    bool check =  (nHardInLeptons() == 0)&& (nHardOutLeptons() == 2)
               && (nHardOutPartons() == 2);

    // For current purpose only!!!
    check = false;

    // For hadronic resonance decays at hadron colliders, do not veto
    // events with a hard emission of the resonance decay products,
    // since such states are not included in the matrix element
    if ( pTsave > 0. && check ) {

      // Check how many resonance decay systems are allowed
      int nResNow = nResInCurrent();

      // Find systems really containing only emission off a resonance
      // decay
      vectorgoodSys;
      // Resonance decay systems are considered last, thus at the end of
      // the list
      int sysSize = partonSystemsPtr->sizeSys();
      for ( int i=0; i < nResNow; ++i ) {
        if ( partonSystemsPtr->sizeOut(sysSize - 1 - i) == 3 )
          goodSys.push_back(sysSize - 1 - i);
      }

      // Check the members of the resonance decay systems
      for ( int i=0; i < int(goodSys.size()); ++i ) {

        // Save the (three) members of the resonance decay system
        int iMem1 = partonSystemsPtr->getOut(goodSys[i],0);
        int iMem2 = partonSystemsPtr->getOut(goodSys[i],1);
        int iMem3 = partonSystemsPtr->getOut(goodSys[i],2);

        // Now find emitted gluon or gamma
        int iEmtGlue = ((event[iMem1].id() == 21) ? iMem1
                     : ((event[iMem2].id() == 21) ? iMem2
                       : ((event[iMem3].id() == 21) ? iMem3: 0)));
        int iEmtGamm = ((event[iMem1].id() == 22) ? iMem1
                     : ((event[iMem2].id() == 22) ? iMem2
                       : ((event[iMem3].id() == 22) ? iMem3: 0)));
        // Per system, only one emission
        int iEmt = (iEmtGlue != 0) ? iEmtGlue : iEmtGamm;

        int iRad = 0;
        int iRec = 0;
        if ( iEmt == iMem1 ) {
          iRad = (event[iMem2].mother1() != event[iMem2].mother2())
               ? iMem2 : iMem3;
          iRec = (event[iMem3].mother1() == event[iMem3].mother2())
               ? iMem3 : iMem2;
        } else if ( iEmt == iMem2 ) {
          iRad = (event[iMem1].mother1() != event[iMem1].mother2())
               ? iMem1 : iMem3;
          iRec = (event[iMem3].mother1() == event[iMem3].mother2())
               ? iMem3 : iMem1;
        } else {
          iRad = (event[iMem1].mother1() != event[iMem1].mother2())
               ? iMem1 : iMem2;
          iRec = (event[iMem2].mother1() == event[iMem2].mother2())
               ? iMem2 : iMem1;
        }

        double pTres = rhoPythia(event[iRad], event[iEmt], event[iRec], 1);

        // Revoke previous veto of last emission if a splitting of the
        // resonance produced a harder parton, i.e. we are inside the
        // PS region
        if ( pTres > pTsave ) {
          revokeVeto = true;
        // Do nothing (i.e. allow other first emission veto) for soft
        // splitting
        } else {
          revokeVeto = false;
        }
      // Done with one system
      }
    // Done with all systems
    }

    // Check veto condition
    bool veto = false;
    if ( revokeVeto && check ) {
      setWeightCKKWL(weightCKKWL2Save);
    } else if ( check ) {
      setWeightCKKWL(weightCKKWL1Save);
      if ( weightCKKWL1Save == 0. ) veto = true;
    }

    // Check veto condition.
    if ( !check && nSteps > nMaxJetsNLO() && nSteps < nJetMax && tnow > tms()){
      // Set stored weights to zero.
      setWeightCKKWL(0.);
      // Now allow veto.
      veto = true;
    }

    // If the emission is allowed, do not check any further emissions
    if ( !veto || !doIgnoreStepSave ) doIgnoreStepSave = true;

    // Done
    return veto;

  }

  // Done
  return false;

}

//--------------------------------------------------------------------------

// Return event stripped from decay products.

Event MergingHooks::bareEvent(const Event& inputEventIn,
  bool storeInputEvent ) {

  // Find and detach decay products.
  Event newProcess = Event();
  newProcess.init("(hard process-modified)", particleDataPtr);

  // If desired, store input event.
  if ( storeInputEvent ) {
    resonances.resize(0);
    inputEvent.clear();
    for (int i = 0; i < inputEventIn.size(); ++i)
      inputEvent.append( inputEventIn[i] );
    for (int i = 0; i < inputEventIn.sizeJunction(); ++i)
      inputEvent.appendJunction( inputEventIn.getJunction(i) );
    inputEvent.saveSize();
    inputEvent.saveJunctionSize();
  }

  // Now remove decay products.
  if ( doRemoveDecayProducts ) {

    // Add the beam and initial partons to the event record.
    for (int i = 0; i < inputEventIn.size(); ++ i) {
      if ( inputEventIn[i].mother1() > 4
        || inputEventIn[i].statusAbs() == 22
        || inputEventIn[i].statusAbs() == 23)
        break;
      newProcess.append(inputEventIn[i]);
    }

    // Add the intermediate particles to the event record.
    for (int i = 0; i < inputEventIn.size(); ++ i) {
      if (inputEventIn[i].mother1() > 4) break;
      if ( inputEventIn[i].status() == -22) {
        int j = newProcess.append(inputEventIn[i]);
        newProcess[j].statusPos();
        if ( storeInputEvent ) resonances.push_back( make_pair(j, i) );
        newProcess[j].daughters(0, 0);
      }
    }

    // Add remaining outgoing particles to the event record.
    for (int i = 0; i < inputEventIn.size(); ++ i) {
      if (inputEventIn[i].mother1() > 4) break;
      if ( inputEventIn[i].statusAbs() != 11
        && inputEventIn[i].statusAbs() != 12
        && inputEventIn[i].statusAbs() != 21
        && inputEventIn[i].statusAbs() != 22)
        newProcess.append(inputEventIn[i]);
    }

    // Update event colour tag to maximum in whole process.
    int maxColTag = 0;
    for (int i = 0; i < inputEventIn.size(); ++ i) {
      if ( inputEventIn[i].col() > maxColTag )
        maxColTag = inputEventIn[i].col();
      if ( inputEventIn[i].acol() > maxColTag )
        maxColTag = inputEventIn[i].acol();
    }
    newProcess.initColTag(maxColTag);

    // Copy junctions from process to newProcess.
    for (int i = 0; i < inputEventIn.sizeJunction(); ++i)
      newProcess.appendJunction( inputEventIn.getJunction(i));

    newProcess.saveSize();
    newProcess.saveJunctionSize();

  } else {
    newProcess = inputEventIn;
  }

  // Remember scale
  newProcess.scale( inputEventIn.scale() );

  // Done
  return newProcess;

}

//--------------------------------------------------------------------------

// Write event with decay products attached to argument. Only possible if an
// input event with decay producs had been stored before.

bool MergingHooks::reattachResonanceDecays(Event& process ) {

  // Now reattach the decay products.
  if ( doRemoveDecayProducts && inputEvent.size() > 0 ) {

    int sizeBef = process.size();
    // Vector of resonances for which the decay products were already attached.
    vector iAftChecked;
    // Reset daughters and status of intermediate particles.
    for ( int i = 0; i < int(resonances.size()); ++i ) {
      for (int j = 0; j < sizeBef; ++j ) {
        if ( j != resonances[i].first ) continue;

        int iOldDaughter1 = inputEvent[resonances[i].second].daughter1();
        int iOldDaughter2 = inputEvent[resonances[i].second].daughter2();

        // Get momenta in case of reclustering.
        int iHardMother      = resonances[i].second;
        Particle& hardMother = inputEvent[iHardMother];
        // Find current mother copy (after clustering).
        int iAftMother       = 0;
        for ( int k = 0; k < process.size(); ++k )
          if ( process[k].id() == inputEvent[resonances[i].second].id() ) {
            // Only attempt if decays of this resonance were not attached.
            bool checked = false;
            for ( int l = 0; l < int(iAftChecked.size()); ++l )
              if ( k == iAftChecked[l] )
                checked = true;
            if ( !checked ) {
              iAftChecked.push_back(k);
              iAftMother = k;
              break;
            }
          }

        Particle& aftMother  = process[iAftMother];

        // Resonance can have been moved by clustering,
        // so prepare to update colour and momentum information for system.
        int colBef  = hardMother.col();
        int acolBef = hardMother.acol();
        int colAft  = aftMother.col();
        int acolAft = aftMother.acol();
        RotBstMatrix M;
        M.bst( hardMother.p(), aftMother.p());

        // Attach resonance decay products.
        int iNewDaughter1 = 0;
        int iNewDaughter2 = 0;
        for ( int k = iOldDaughter1; k <= iOldDaughter2; ++k ) {
          if ( k == iOldDaughter1 )
            iNewDaughter1 = process.append(inputEvent[k] );
          else
            iNewDaughter2 = process.append(inputEvent[k] );
          process.back().statusPos();
          Particle& now = process.back();
          // Update colour and momentum information.
          if (now.col()  != 0 && now.col()  == colBef ) now.col(colAft);
          if (now.acol() != 0 && now.acol() == acolBef) now.acol(acolAft);
          now.rotbst( M);
          // Update vertex information.
          if (now.hasVertex()) now.vProd( aftMother.vDec() );
          // Update mothers.
          now.mothers(iAftMother,0);
        }

        process[iAftMother].daughters( iNewDaughter1, iNewDaughter2 );
        process[iAftMother].statusNeg();

        // Loop through event and attach remaining decays
        int iDec = 0;
        do {
          if ( process[iDec].isFinal() && process[iDec].canDecay()
            && process[iDec].mayDecay() && process[iDec].isResonance() ) {

            int iD1 = process[iDec].daughter1();
            int iD2 = process[iDec].daughter2();

            // Done if no daughters exist.
            if ( iD1 == 0 || iD2 == 0 ) continue;

            // Attach daughters.
            int iNewDaughter12 = 0;
            int iNewDaughter22 = 0;
            for ( int k = iD1; k <= iD2; ++k ) {
              if ( k == iD1 )
                iNewDaughter12 = process.append(inputEvent[k] );
              else
                iNewDaughter22 = process.append(inputEvent[k] );
              process.back().statusPos();
              Particle& now = process.back();
              // Update colour and momentum information.
              if (now.col() != 0 && now.col() == colBef ) now.col(colAft);
              if (now.acol()!= 0 && now.acol()== acolBef) now.acol(acolAft);
              now.rotbst( M);
              // Update vertex information.
              if (now.hasVertex()) now.vProd( process[iDec].vDec() );
              // Update mothers.
              now.mothers(iDec,0);
            }

            // Modify mother status and daughters.
            process[iDec].status(-22);
            process[iDec].daughters(iNewDaughter12, iNewDaughter22);

          // End of loop over all entries.
          }
        } while (++iDec < process.size());
      } // End loop over process entries.
    } // End loop over resonances.

    // Update event colour tag to maximum in whole process.
    int maxColTag = 0;
    for (int i = 0; i < process.size(); ++ i) {
      if (process[i].col() > maxColTag) maxColTag = process[i].col();
      if (process[i].acol() > maxColTag) maxColTag = process[i].acol();
    }
    process.initColTag(maxColTag);

  }

  // Done.
  return (doRemoveDecayProducts) ? inputEvent.size() > 0 : true;

}

//--------------------------------------------------------------------------

bool MergingHooks::isInHard( int iPos, const Event& event){

  // MPI not part of hard process
  if ( event[iPos].statusAbs() > 30 && event[iPos].statusAbs() < 40 )
    return false;
  // Beam remnants and hadronisation not part of hard process
  if ( event[iPos].statusAbs() > 60 )
    return false;

  // Still MPI: Check that the particle is not due to radiation off MPIs.
  // First get all intermediate MPI partons in the state.
  vector mpiParticlePos;
  mpiParticlePos.clear();
  for ( int i=0; i < event.size(); ++i )
    if ( event[i].statusAbs() > 30
      && event[i].statusAbs() < 40 )
      mpiParticlePos.push_back(i);
  // Disregard any parton iPos that has MPI ancestors.
  for ( int i=0; i < int(mpiParticlePos.size()); ++i)
    if ( event.isAncestor(iPos, mpiParticlePos[i]) )
      return false;

  // Disallow other systems.
  // Get sub-system of particles for iPos
  int iSys = partonSystemsPtr->getSystemOf(iPos, !event[iPos].isFinal() );
  if ( iSys > 0 ) {
    // Check all partons belonging to the same system as iPos. If any is
    // produced in MPI or has MPI ancestors, the whole system is not the
    // hard subprocess, i.e. iPos is not in the hard subprocess.
    int sysSize = partonSystemsPtr->sizeAll(iSys);
    for ( int i = 0; i < sysSize; ++i ) {
      int iPosNow = partonSystemsPtr->getAll( iSys, i );
      // MPI not part of hard process
      if ( event[iPosNow].statusAbs() > 30
        && event[iPosNow].statusAbs() < 40 )
        return false;
      // Disregard any parton iPos that has MPI ancestors.
      for ( int j=0; j < int(mpiParticlePos.size()); ++j)
        if ( event.isAncestor(iPosNow, mpiParticlePos[j]) )
          return false;
      // Beam remnants and hadronisation not part of hard process
      if ( event[iPosNow].statusAbs() > 60 )
        return false;
    }
  }

  // Check if any ancestor contains the hard incoming partons as daughters.
  // Begin loop to trace upwards from the daughter.
  bool containsInitialParton = false;
  int iUp = iPos;
  for ( ; ; ) {
    // If out of range then failed to find match.
    if (iUp <= 0 || iUp > event.size()) break;
    // If positive match then done.
    if ( iUp == 3 || iUp == 4 ) {
      containsInitialParton = true;
      break;
    }
    if ( event[iUp].mother1() == 1
      && (event[iUp].daughter1() == 3 || event[iUp].daughter2() == 3) ) {
      containsInitialParton = true;
      break;
    }
    if ( event[iUp].mother1() == 2
      && (event[iUp].daughter1() == 4 || event[iUp].daughter2() == 4) ) {
      containsInitialParton = true;
      break;
    }
    // If unique mother then keep on moving up the chain.
    iUp = event[iUp].mother1();
  }

  if ( !containsInitialParton ) return false;

  // Done
  return true;

}

//--------------------------------------------------------------------------

// Function to return the number of clustering steps for the current event

int MergingHooks::getNumberOfClusteringSteps(const Event& event){

  // Count the number of final state partons
  int nFinalPartons = 0;
  for ( int i=0; i < event.size(); ++i)
    if ( event[i].isFinal()
      && isInHard( i, event)
      && (event[i].isQuark() || event[i].isGluon()) )
      nFinalPartons++;

  // Count the number of final state leptons
  int nFinalLeptons = 0;
  for( int i=0; i < event.size(); ++i)
    if ( event[i].isFinal() && isInHard( i, event) && event[i].isLepton())
      nFinalLeptons++;

  // Add neutralinos to number of leptons
  for( int i=0; i < event.size(); ++i)
    if ( event[i].isFinal() && isInHard( i, event)
       && event[i].idAbs() == 1000022)
      nFinalLeptons++;

  // Add sleptons to number of leptons
  for( int i=0; i < event.size(); ++i)
    if ( event[i].isFinal() && isInHard( i, event)
       && (event[i].idAbs() == 1000011
        || event[i].idAbs() == 2000011
        || event[i].idAbs() == 1000013
        || event[i].idAbs() == 2000013
        || event[i].idAbs() == 1000015
        || event[i].idAbs() == 2000015) )
      nFinalLeptons++;

  // Count the number of final state electroweak bosons
  int nFinalBosons = 0;
  for( int i=0; i < event.size(); ++i)
    if ( event[i].isFinal() && isInHard( i, event)
      && ( event[i].idAbs() == 22
        || event[i].idAbs() == 23
        || event[i].idAbs() == 24
        || event[i].idAbs() == 25 ) )
      nFinalBosons++;

  // Save sum of all final state particles
  int nFinal = nFinalPartons + nFinalLeptons
             + 2*(nFinalBosons - nHardOutBosons() );

  // Return the difference to the core process outgoing particles
  return (nFinal - nHardOutPartons() - nHardOutLeptons() );

}

//--------------------------------------------------------------------------

// Function to check if event contains an emission not present in the hard
// process.

bool MergingHooks::isFirstEmission(const Event& event ) {

  // If the beam remnant treatment or hadronisation has already started, do
  // no veto.
  for ( int i=0; i < event.size(); ++i)
    if ( event[i].statusAbs() > 60 ) return false;

  // Count particle types
  int nFinalQuarks   = 0;
  int nFinalGluons   = 0;
  int nFinalLeptons  = 0;
  int nFinalBosons   = 0;
  int nFinalPhotons  = 0;
  int nFinal         = 0;
  for( int i=0; i < event.size(); ++i) {
    if (event[i].isFinal() && isInHard(i, event) ){
      if ( event[i].spinType() == 2 && event[i].colType() == 0)
        nFinalLeptons++;
      if ( event[i].id()    == 23
        || event[i].idAbs() == 24
        || event[i].id()    == 25)
        nFinalBosons++;
      if (  event[i].id()   == 22)
        nFinalPhotons++;
      if ( event[i].isQuark())
        nFinalQuarks++;
      if ( event[i].isGluon())
        nFinalGluons++;
      if ( !event[i].isDiquark() )
        nFinal++;
    }
  }

  // Return highest value if the event does not contain any final state
  // coloured particles.
  if (nFinalQuarks + nFinalGluons == 0) return false;

  // Use MergingHooks functions to get information on the hard process.
  int nLeptons      = nHardOutLeptons();

  // The state is already in the PS region if the number of leptons had been
  // increased bt QED splittings.
  if (nFinalLeptons > nLeptons) return false;

  // If the mumber of photons if larger than in the hard process, QED
  // radiation has pushed the state into the PS region.
  int nPhotons = 0;
  for(int i =0; i< int(hardProcess.hardOutgoing1.size()); ++i)
    if (hardProcess.hardOutgoing1[i] == 22)
      nPhotons++;
  for(int i =0; i< int(hardProcess.hardOutgoing2.size()); ++i)
    if (hardProcess.hardOutgoing2[i] == 22)
      nPhotons++;
  if (nFinalPhotons > nPhotons) return false;

  // Done
  return true;
}

//--------------------------------------------------------------------------

// Function to set the correct starting scales of the shower

// Set starting scales
bool MergingHooks::setShowerStartingScales( bool isTrial,
  bool doMergeFirstEmm, double& pTscaleIn, const Event& event,
  double& pTmaxFSRIn, bool& limitPTmaxFSRIn,
  double& pTmaxISRIn, bool& limitPTmaxISRIn,
  double& pTmaxMPIIn, bool& limitPTmaxMPIIn ) {

  // MPI treated differently in case of qcd djiet merging, since hard MPI
  // can be misidentified as hard process.
  bool isPureQCD = ( getProcessString().compare("pp>jj") == 0 );
  int nSteps     = getNumberOfClusteringSteps( bareEvent(event, false) );
  double scale   = event.scale();

  bool doRecluster = doUMEPSSubt() || doNL3Subt() || doUNLOPSSubt()
                  || doUNLOPSSubtNLO();

  // Set correct starting scales for trial showers.
  if ( isTrial ) {
    // Reset shower scales.
    pTmaxISRIn = pTmaxFSRIn = scale;
    if ( limitPTmaxISRIn ) pTmaxISRIn = min(scale,muF());
    if ( limitPTmaxFSRIn ) pTmaxFSRIn = min(scale,muF());
    // Reset MPI scale.
    if ( !isPureQCD ) pTmaxMPIIn = scale;
    else  pTmaxMPIIn = infoPtr->eCM();
    // Reset phase space limitation flags
    if ( pTscaleIn < infoPtr->eCM() ) {
      limitPTmaxISRIn = limitPTmaxFSRIn = true;
      if ( !isPureQCD ) limitPTmaxMPIIn = true;
      else limitPTmaxMPIIn = false;
    }
  }

  // Reset starting scales.
  if ( isPureQCD && doMergeFirstEmm ) {
    // Set correct shower starting scales.
    if ( nSteps == 0 && !doRecluster && pTscaleIn < infoPtr->eCM() ) {
      pTmaxMPIIn = infoPtr->eCM();
      limitPTmaxMPIIn = false;
    }
  }

  // Reset starting scales.
  if ( !isPureQCD && doMergeFirstEmm ) {
    // Set correct shower starting scales.
    if ( nSteps == 0 && !doRecluster ) {
      pTscaleIn = infoPtr->eCM();
      limitPTmaxMPIIn = false;
    }
    if ( limitPTmaxISRIn ) pTscaleIn = min(scale,muF());
    if ( limitPTmaxFSRIn ) pTscaleIn = min(scale,muF());
    pTmaxISRIn = pTmaxFSRIn = pTscaleIn;
    // Reset MPI starting scale. Standard treatment
    if ( pTscaleIn < infoPtr->eCM()
      &&  !(nSteps == 0 && !doRecluster
        && (limitPTmaxISRIn || limitPTmaxFSRIn)) ) {
      pTmaxMPIIn = pTscaleIn;
      limitPTmaxMPIIn = true;
    }
    if (doRecluster) {
      pTmaxMPIIn = muMI();
      limitPTmaxMPIIn = true;
    }
  }

  // Done
  return true;

}

//--------------------------------------------------------------------------

// Function to return the value of the merging scale function in the current
// event.

double MergingHooks::tmsNow( const Event& event ) {

  // Get merging scale in current event.
  double tnow = 0.;
  // Use KT/Durham merging scale definition.
  if ( doKTMerging()  || doMGMerging() )
    tnow = kTms(event);
  // Use Lund PT merging scale definition.
  else if ( doPTLundMerging() )
    tnow = rhoms(event, false);
  // Use DeltaR_{ij}, pT_i, Q_{ij} combination merging scale definition.
  else if ( doCutBasedMerging() )
    tnow = cutbasedms(event);
  // Use NLO merging (Lund PT) merging scale definition.
  else if ( doNL3Merging() )
    tnow = rhoms(event, false);
  // Use NLO merging (Lund PT) merging scale definition.
  else if ( doUNLOPSMerging() )
    tnow = rhoms(event, false);
  // Use UMEPS (Lund PT) merging scale definition.
  else if ( doUMEPSMerging() )
    tnow = rhoms(event, false);
  // Use user-defined merging scale.
  else
    tnow = tmsDefinition(event);
  // Return merging scale value. Done
  return tnow;
}

//--------------------------------------------------------------------------

// Function to check if the properties of the input particle should be
// checked against the cut-based merging scale defintion.

bool MergingHooks::checkAgainstCut( const Particle& particle){

  // Do not check uncoloured particles.
  if (particle.colType() == 0) return false;
  // By default, use u-, d-, c-, s- and b-quarks.
  if ( particle.idAbs() != 21 && particle.idAbs() > nQuarksMergeSave )
    return false;
  // Done
  return true;

}

//--------------------------------------------------------------------------

// Function to return the minimal kT in the event. If doKTMerging = true, this
// function will be used as a merging scale definition.

double MergingHooks::kTms(const Event& event) {

  // Only check first emission.
  if (!isFirstEmission(event)) return 0.;

  // Find all electroweak decayed bosons in the state.
  vector ewResonancePos;
  ewResonancePos.clear();
  for (int i=0; i < event.size(); ++i)
    if ( abs(event[i].status()) == 22
      && ( event[i].idAbs() == 22
        || event[i].idAbs() == 23
        || event[i].idAbs() == 24
        || event[i].idAbs() == 25
        || event[i].idAbs() == 6 ) )
      ewResonancePos.push_back(i);

  // Declare final parton vectors
  vector  FinalPartPos;
  FinalPartPos.clear();
  // Search inEvent record for final state partons.
  // Exclude decay products of ew resonance.
  for (int i=0; i < event.size(); ++i){
    if ( event[i].isFinal()
      && isInHard( i, event )
      && event[i].colType() != 0
      && checkAgainstCut(event[i]) ){
      bool isDecayProduct = false;
      for(int j=0; j < int(ewResonancePos.size()); ++j)
        if ( event.isAncestor(i, ewResonancePos[j]) )
          isDecayProduct = true;
      // Except for e+e- -> jets, do not check radiation in resonance decays.
      if ( !isDecayProduct
        || getProcessString().compare("e+e->jj") == 0
        || getProcessString().compare("e+e->(z>jj)") == 0 )
        FinalPartPos.push_back(i);
    }
  }

  // Find minimal Durham kT in event, using own function: Check
  // definition of separation
  int type = (event[3].colType() == 0
           && event[4].colType() == 0) ? -1 : ktTypeSave;
  // Find minimal kT
  double ktmin = event[0].e();
  for(int i=0; i < int(FinalPartPos.size()); ++i){
    double kt12  = ktmin;
    // Compute separation to the beam axis for hadronic collisions
    if (type == 1 || type == 2) {
      double temp = event[FinalPartPos[i]].pT();
      kt12 = min(kt12, temp);
    }
    // Compute separation to other final state jets
    for(int j=i+1; j < int(FinalPartPos.size()); ++j) {
      double temp = kTdurham( event[FinalPartPos[i]], event[FinalPartPos[j]],
                      type, DparameterSave);
      kt12 = min(kt12, temp);
    }
    // Keep the minimal Durham separation
    ktmin = min(ktmin,kt12);
  }

  // Return minimal Durham kT
  return ktmin;

}

//--------------------------------------------------------------------------

// Function to compute durham y separation from Particle input.

double MergingHooks::kTdurham(const Particle& RadAfterBranch,
  const Particle& EmtAfterBranch, int Type, double D ){

  // Declare return variable
  double ktdur;
  // Save 4-momenta of final state particles
  Vec4 jet1 = RadAfterBranch.p();
  Vec4 jet2 = EmtAfterBranch.p();

  if ( Type == -1) {
    // Get angle between jets for e+e- collisions, make sure that
    // -1 <= cos(theta) <= 1
    double costh;
    if (jet1.pAbs()*jet2.pAbs() <=0.) costh = 1.;
    else {
      costh = costheta(jet1,jet2);
    }
    // Calculate kt durham separation between jets for e+e- collisions
    ktdur = 2.0*min( pow(jet1.e(),2) , (pow(jet2.e(),2)) )*(1.0 - costh);
  } else if ( Type == 1 ){
    // Get delta_y for hadronic collisions:
    // Get mT of first jet
    double mT1sq = jet1.m2Calc() + jet1.pT2();
    double mT1 = 0.;
    if (mT1sq < 0) mT1 = - sqrt(-mT1sq);
    else mT1 = sqrt(mT1sq);
    // Get mT of second jet
    double mT2sq = jet2.m2Calc() + jet2.pT2();
    double mT2 = 0.;
    if (mT2sq < 0) mT2 = - sqrt(-mT2sq);
    else mT2 = sqrt(mT2sq);
    // Get rapidity of first jet
    double y1 = log( ( jet1.e() + abs(jet1.pz()) ) / mT1 );
    if (jet1.pz() < 0) y1 *= -1.;
    // Get rapidity of second jet
    double y2 = log( ( jet2.e() + abs(jet2.pz()) ) / mT2 );
    if (jet2.pz() < 0) y2 *= -1.;
    // Get delta_phi for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    double dPhi = acos( cosdPhi );
    // Calculate kT durham like fastjet,
    // but with rapidity instead of pseudo-rapidity
    ktdur = min( pow(pt1,2),pow(pt2,2) )
          * ( pow(y1-y2,2) + pow(dPhi,2) ) / pow(D,2);
  } else if ( Type == 2 ){

    // Get mT of first jet
    double mT1sq = jet1.m2Calc() + jet1.pT2();
    double mT1 = 0.;
    if (mT1sq < 0) mT1 = - sqrt(-mT1sq);
    else mT1 = sqrt(mT1sq);
    // Get mT of second jet
    double mT2sq = jet2.m2Calc() + jet2.pT2();
    double mT2 = 0.;
    if (mT2sq < 0) mT2 = - sqrt(-mT2sq);
    else mT2 = sqrt(mT2sq);
    // Get pseudo-rapidity of first jet
    double eta1 = log( ( sqrt(jet1.px()*jet1.px() + jet1.py()*jet1.py()
                            + jet1.pz()*jet1.pz())  + abs(jet1.pz()) ) / mT1);
    if (jet1.pz() < 0) eta1 *= -1.;
    // Get pseudo-rapidity of second jet
    double eta2 = log( ( sqrt(jet2.px()*jet2.px() + jet2.py()*jet2.py()
                            + jet2.pz()*jet2.pz())  + abs(jet2.pz()) ) / mT2);
    if (jet2.pz() < 0) eta2 *= -1.;

    // Get delta_phi and cos(Delta_phi) for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    double dPhi = acos( cosdPhi );
    // Calculate kT durham like fastjet
    ktdur = min( pow(pt1,2),pow(pt2,2) )
          * ( pow(eta1-eta2,2) + pow(dPhi,2) ) / pow(D,2);
  } else if ( Type == 3 ){
    // Get cosh(Delta_eta) for hadronic collisions
    double eta1 = 0.5*log( (jet1.e() + jet1.pz()) / (jet1.e() - jet1.pz()) );
    double eta2 = 0.5*log( (jet2.e() + jet2.pz()) / (jet2.e() - jet2.pz()) );
    double coshdEta = cosh( eta1 - eta2 );
    // Get delta_phi and cos(Delta_phi) for hadronic collisions
    double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
    double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
    double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
    // Calculate kT durham separation "SHERPA-like"
    ktdur = 2.0*min( pow(pt1,2),pow(pt2,2) )
          * ( coshdEta - cosdPhi ) / pow(D,2);
  } else {
    ktdur = 0.0;
  }
  // Return kT
  return sqrt(ktdur);
}

//--------------------------------------------------------------------------

// Find the minimal Lund pT between coloured partons in the input
// event. If doPTLundMerging = true, this function will be used as a merging
// scale definition.

double MergingHooks::rhoms( const Event& event, bool withColour){

  // Only check first emission.
  if (!isFirstEmission(event)) return 0.;

  // Find all electroweak decayed bosons in the state.
  vector ewResonancePos;
  ewResonancePos.clear();
  for (int i=0; i < event.size(); ++i)
    if ( abs(event[i].status()) == 22
      && ( event[i].idAbs() == 22
        || event[i].idAbs() == 23
        || event[i].idAbs() == 24
        || event[i].idAbs() == 25
        || event[i].idAbs() == 6 ) )
      ewResonancePos.push_back(i);

  // Declare final parton vectors
  vector  FinalPartPos;
  FinalPartPos.clear();
  // Search inEvent record for final state partons.
  // Exclude decay products of ew resonance.
  for (int i=0; i < event.size(); ++i){

    if ( event[i].isFinal()
      && isInHard( i, event )
      && event[i].colType() != 0
      && checkAgainstCut(event[i]) ){
      bool isDecayProduct = false;
      for(int j=0; j < int(ewResonancePos.size()); ++j)
        if ( event.isAncestor(i, ewResonancePos[j]) )
          isDecayProduct = true;
      // Except for e+e- -> jets, do not check radiation in resonance decays.
      if ( !isDecayProduct
        || getProcessString().compare("e+e->jj") == 0
        || getProcessString().compare("e+e->(z>jj)") == 0 )
        FinalPartPos.push_back(i);
    }
  }

  // Get index of first incoming
  int in1 = 0;
  for (int i=0; i < event.size(); ++i)
    if (abs(event[i].status()) == 41 ){
      in1 = i;
      break;
    }

  // Get index of second incoming
  int in2 = 0;
  for (int i=0; i < event.size(); ++i)
    if (abs(event[i].status()) == 42 ){
      in2 = i;
      break;
    }

  // If no incoming of the cascade are found, try incoming
  if (in1 == 0 || in2 == 0){
    // Find current incoming partons
    for(int i=3; i < int(event.size()); ++i){
      if ( !isInHard( i, event ) ) continue;
      if (event[i].mother1() == 1) in1 = i;
      if (event[i].mother1() == 2) in2 = i;
    }
  }

  // Find minimal pythia pt in event
  double ptmin = event[0].e();
  for(int i=0; i < int(FinalPartPos.size()); ++i){
    double pt12  = ptmin;
    // Compute pythia ISR separation i-jet and first incoming
    if (event[in1].colType() != 0) {
      double temp = rhoPythia( event[in1],
                      event[FinalPartPos[i]], event[in2], -1 );
      pt12 = min(pt12, temp);
    }

    // Compute pythia ISR separation i-jet and second incoming
    if ( event[in2].colType() != 0) {
      double temp = rhoPythia( event[in2],
                      event[FinalPartPos[i]], event[in1], -1 );
      pt12 = min(pt12, temp);
    }

    if (withColour) {
      // Compute pythia FSR separation between two jets,
      // with knowledge of colour connections
      for(int j=0; j < int(FinalPartPos.size()); ++j) {

        // Find recoiler in event
        if ( i!=j ){
          bool isHard = false;
          int radAcl = event[FinalPartPos[i]].acol();
          int radCol = event[FinalPartPos[i]].col();
          int emtAcl = event[FinalPartPos[j]].acol();
          int emtCol = event[FinalPartPos[j]].col();
          int iRec = -1;
          // Check in final state
          if (iRec <= 0 && radAcl > 0 && radAcl != emtCol)
            iRec = findColour(radAcl, FinalPartPos[i], FinalPartPos[j],
                     event,1, isHard);
          if (iRec <= 0 && radCol > 0 && radCol != emtAcl)
            iRec = findColour(radCol, FinalPartPos[i], FinalPartPos[j],
                     event,1, isHard);
          if (iRec <= 0 && emtAcl > 0 && emtAcl != radCol)
            iRec = findColour(emtAcl, FinalPartPos[i], FinalPartPos[j],
                     event,1, isHard);
          if (iRec <= 0 && emtCol > 0 && emtCol != radAcl)
            iRec = findColour(emtCol, FinalPartPos[i], FinalPartPos[j],
                     event,1, isHard);

          // Check in initial state
          if (iRec <= 0 && radAcl > 0 && radAcl != emtCol)
            iRec = findColour(radAcl, FinalPartPos[i], FinalPartPos[j],
                     event,2, isHard);
          if (iRec <= 0 && radCol > 0 && radCol != emtAcl)
            iRec = findColour(radCol, FinalPartPos[i], FinalPartPos[j],
                     event,2, isHard);
          if (iRec <= 0 && emtAcl > 0 && emtAcl != radCol)
            iRec = findColour(emtAcl, FinalPartPos[i], FinalPartPos[j],
                     event,2, isHard);
          if (iRec <= 0 && emtCol > 0 && emtCol != radAcl)
            iRec = findColour(emtCol, FinalPartPos[i], FinalPartPos[j],
                     event,2, isHard);

          if (iRec > 0) {
            double temp = rhoPythia( event[FinalPartPos[i]],
                                     event[FinalPartPos[j]],
                                     event[iRec], 1 );
            pt12 = min(pt12, temp);
          }
        }
      }

    } else {
      // Compute pythia FSR separation between two jets,
      // without any knowledge of colour connections
      for(int j=0; j < int(FinalPartPos.size()); ++j) {
        for(int k=0; k < int(FinalPartPos.size()); ++k) {
          // Allow any parton as recoiler
          if ( (i != j) && (i != k) && (j != k) ){

            double temp = 0.;
            // Only check splittings allowed by flavour, e.g.
            // only q -> qg and g -> qqbar
            temp = rhoPythia( event[FinalPartPos[i]],
                              event[FinalPartPos[j]],
                              event[FinalPartPos[k]], 1 );
            pt12 = min(pt12, temp);
          }
        }
      }

      // Compute pythia FSR separation between two jets, with initial recoiler
      // without any knowledge of colour connections
      if ( event[in1].colType() != 0 && event[in2].colType() != 0) {
        for(int j=0; j < int(FinalPartPos.size()); ++j) {
          // Allow both initial partons as recoiler
          if ( i != j ){
            // Check with first initial as recoiler
            double temp = rhoPythia( event[FinalPartPos[i]],
                                     event[FinalPartPos[j]],
                                     event[in1], 1 );
            pt12 = min(pt12, temp);
            // Check with second initial as recoiler
            temp        = rhoPythia( event[FinalPartPos[i]],
                                     event[FinalPartPos[j]],
                                     event[in2], 1 );
            pt12 = min(pt12, temp);
          }
        }
      }

    }
    // Reset minimal y separation
    ptmin = min(ptmin,pt12);
  }

  return ptmin;

}

//--------------------------------------------------------------------------

// Function to compute "pythia pT separation" from Particle input, as a helper
// for rhoms(...).

double MergingHooks::rhoPythia(const Particle& RadAfterBranch,
              const Particle& EmtAfterBranch,
              const Particle& RecAfterBranch, int ShowerType){

  // Save type: 1 = FSR pT definition, else ISR definition
  int Type   = ShowerType;
  // Calculate virtuality of splitting
  int sign = (Type==1) ? 1 : -1;
  Vec4 Q(RadAfterBranch.p() + sign*EmtAfterBranch.p());
  double Qsq = sign * Q.m2Calc();
  // Mass term of radiator
  double m2Rad = ( includeMassive()
               && abs(RadAfterBranch.id()) >= 4
               && abs(RadAfterBranch.id()) < 7)
               ? pow(particleDataPtr->m0(RadAfterBranch.id()), 2)
               : 0.;
  // Construct 2->3 variables for FSR
  Vec4   sum     = RadAfterBranch.p() + RecAfterBranch.p()
                 + EmtAfterBranch.p();
  double m2Dip = sum.m2Calc();
  double x1 = 2. * (sum * RadAfterBranch.p()) / m2Dip;
  double x3 = 2. * (sum * EmtAfterBranch.p()) / m2Dip;
  // Construct momenta of dipole before/after splitting for ISR
  Vec4 qBR(RadAfterBranch.p() - EmtAfterBranch.p() + RecAfterBranch.p());
  Vec4 qAR(RadAfterBranch.p() + RecAfterBranch.p());
  // Calculate z of splitting, different for FSR and ISR
  double z = (Type==1) ? x1/(x1+x3)
                     : (qBR.m2Calc())/( qAR.m2Calc());
  // Separation of splitting, different for FSR and ISR
  double pTpyth = (Type==1) ? z*(1.-z) : (1.-z);
  // pT^2 = separation*virtuality
  pTpyth *= (Qsq - sign*m2Rad);
  if (pTpyth < 0.) pTpyth = 0.;
  // Return pT
  return sqrt(pTpyth);
}

//--------------------------------------------------------------------------

// Function to find a colour (anticolour) index in the input event.
// Helper for rhoms
// IN  int col       : Colour tag to be investigated
//     int iExclude1 : Identifier of first particle to be excluded
//                     from search
//     int iExclude2 : Identifier of second particle to be excluded
//                     from  search
//     Event event   : event to be searched for colour tag
//     int type      : Tag to define if col should be counted as
//                      colour (type = 1) [->find anti-colour index
//                                         contracted with col]
//                      anticolour (type = 2) [->find colour index
//                                         contracted with col]
// OUT int           : Position of particle in event record
//                     contraced with col [0 if col is free tag]

int MergingHooks::findColour(int col, int iExclude1, int iExclude2,
      const Event& event, int type, bool isHardIn){

  bool isHard = isHardIn;
  int index = 0;

  if (isHard){
    // Search event record for matching colour & anticolour
    for(int n = 0; n < event.size(); ++n) {
      if ( n != iExclude1 && n != iExclude2
        && event[n].colType() != 0
        &&(   event[n].status() > 0          // Check outgoing
           || event[n].status() == -21) ) {  // Check incoming
         if ( event[n].acol() == col ) {
          index = -n;
          break;
        }
        if ( event[n].col()  == col ){
          index =  n;
          break;
        }
      }
    }
  } else {

    // Search event record for matching colour & anticolour
    for(int n = 0; n < event.size(); ++n) {
      if (  n != iExclude1 && n != iExclude2
        && event[n].colType() != 0
        &&(   event[n].status() == 43        // Check outgoing from ISR
           || event[n].status() == 51        // Check outgoing from FSR
           || event[n].status() == 52        // Check outgoing from FSR
           || event[n].status() == -41       // first initial
           || event[n].status() == -42) ) {  // second initial
        if ( event[n].acol() == col ) {
          index = -n;
          break;
        }
        if ( event[n].col()  == col ){
          index =  n;
          break;
        }
      }
    }
  }
  // if no matching colour / anticolour has been found, return false
  if ( type == 1 && index < 0) return abs(index);
  if ( type == 2 && index > 0) return abs(index);

  return 0;
}

//--------------------------------------------------------------------------

// Find the if the event passes the Delta R_{ij}, pT_{i} and Q_{ij} cuts on
// the matrix element, as needed for cut-based merging scale definition.

double MergingHooks::cutbasedms( const Event& event ){

  // Only check first emission.
  if (!isFirstEmission(event)) return -1.;

  // Save allowed final state particles
  vector partons;
  for( int i=0; i < event.size(); ++i) {
    if ( event[i].isFinal()
      && isInHard( i, event )
      && checkAgainstCut(event[i]) )
      partons.push_back(i);
  }

  // Declare overall veto
  bool doVeto = false;
  // Declare vetoes
  bool vetoPT  = false;
  bool vetoRjj = false;
  bool vetoMjj = false;
  // Declare cuts used in matrix element
  double pTjmin = pTiMS();
  double mjjmin = QijMS();
  double rjjmin = dRijMS();

  // Declare minimum values
  double minPT  = event[0].e();
  double minRJJ = 10.;
  double minMJJ = event[0].e();

  // Check matrix element cuts
  for( int i=0; i < int(partons.size()); ++i){
    // Save pT value
    minPT = min(minPT,event[partons[i]].pT());

    // Check two-parton cuts
    for( int j=0; j < int(partons.size()); ++j){
      if (i!=j){

        // Save delta R value
        minRJJ = min(minRJJ, deltaRij( event[partons[i]].p(),
              event[partons[j]].p()) );
        // Save delta R value
        minMJJ = min(minMJJ, ( event[partons[i]].p()
                              +event[partons[j]].p() ).mCalc() );

      }
    }
  // Done with cut evaluation
  }

  // Check if all partons are in the matrix element region
  if (minPT  > pTjmin) vetoPT  = true;
  if (minRJJ > rjjmin) vetoRjj = true;
  if (minMJJ > mjjmin) vetoMjj = true;

  // In the matrix element calculation, we have rejected the events if any of
  // the cuts had not been fulfilled,
  // i.e. we are in the matrix element domain if all cuts are fulfilled.
  // We veto any emission in the ME region.
  // Disregard the two-parton cuts if only one parton in the final state
  if (int(partons.size() == 1))
    doVeto = vetoPT;
  else
  // Veto if the combination of cuts would be in the ME region
    doVeto = vetoPT && vetoRjj && vetoMjj;

  // If event is above merging scale, veto
  if (doVeto) return 1.;

  // Else, do nothing
  return -1.;

}

//--------------------------------------------------------------------------

// Function to compute Delta R separation from 4-vector input.

double MergingHooks::deltaRij(Vec4 jet1, Vec4 jet2){

  // Declare return variable
  double deltaR = 0.;
  // Get delta_eta and cosh(Delta_eta) for hadronic collisions
  double eta1 = 0.5*log( (jet1.e() + jet1.pz()) / (jet1.e() - jet1.pz()) );
  double eta2 = 0.5*log( (jet2.e() + jet2.pz()) / (jet2.e() - jet2.pz()) );
  // Get delta_phi and cos(Delta_phi) for hadronic collisions
  double pt1 = sqrt( pow(jet1.px(),2) + pow(jet1.py(),2) );
  double pt2 = sqrt( pow(jet2.px(),2) + pow(jet2.py(),2) );
  double cosdPhi = ( jet1.px()*jet2.px() + jet1.py()*jet2.py() ) / (pt1*pt2);
  double dPhi = acos( cosdPhi );
  // Calculate kT durham like fastjet
  deltaR = sqrt(pow(eta1-eta2,2) + pow(dPhi,2));
  // Return kT
  return deltaR;
}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaLeptoquark.cc0000644000175000017500000002155412357054764016571 0ustar  sunsun// SigmaLeptoquark.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// leptoquark simulation classes.

#include "Pythia8/SigmaLeptoquark.h"

namespace Pythia8 {

//==========================================================================

// Sigma1ql2LeptoQuark class.
// Cross section for q l -> LQ (leptoquark state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ql2LeptoQuark::initProc() {

  // Store LQ mass and width for propagator.
  mRes     = particleDataPtr->m0(42);
  GammaRes = particleDataPtr->mWidth(42);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Yukawa coupling strength.
  kCoup    = settingsPtr->parm("LeptoQuark:kCoup");

  // Set pointer to particle properties and decay table.
  LQPtr    = particleDataPtr->particleDataEntryPtr(42);

  // Read out quark and lepton the LQ couples to.
  idQuark  = LQPtr->channel(0).product(0);
  idLepton = LQPtr->channel(0).product(1);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ql2LeptoQuark::sigmaKin() {

  // Incoming width for correct quark-lepton pair.
  widthIn  = 0.25 * alpEM * kCoup * mH;

  // Set up Breit-Wigner.
  sigBW    = 4. * M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat) for specific incoming flavours.

double Sigma1ql2LeptoQuark::sigmaHat() {

  // Identify whether correct incoming flavours.
  int idLQ = 0;
  if      (id1 ==  idQuark && id2 ==  idLepton) idLQ =  42;
  else if (id2 ==  idQuark && id1 ==  idLepton) idLQ =  42;
  else if (id1 == -idQuark && id2 == -idLepton) idLQ = -42;
  else if (id2 == -idQuark && id1 == -idLepton) idLQ = -42;
  if (idLQ == 0) return 0.;

  // Outgoing width and total sigma. Done.
  return widthIn * sigBW * LQPtr->resWidthOpen(idLQ, mH);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ql2LeptoQuark::setIdColAcol() {

  // Flavours.
  int idq  = (abs(id1) < 9) ? id1 : id2;
  int idLQ = (idq > 0) ? 42 : -42;
  setId( id1, id2, idLQ);

  // Colour flow topology.
  if (id1 == idq) setColAcol( 1, 0, 0, 0, 1, 0);
  else            setColAcol( 0, 0, 1, 0, 1, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2qg2LeptoQuarkl class.
// Cross section for q g -> LQ l (leptoquark state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2LeptoQuarkl::initProc() {

  // Store LQ mass and width for propagator.
  mRes     = particleDataPtr->m0(42);
  GammaRes = particleDataPtr->mWidth(42);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Yukawa coupling strength.
  kCoup    = settingsPtr->parm("LeptoQuark:kCoup");

  // Read out quark and lepton the LQ couples to.
  ParticleDataEntry* LQPtr = particleDataPtr->particleDataEntryPtr(42);
  idQuark  = LQPtr->channel(0).product(0);
  idLepton = LQPtr->channel(0).product(1);

   // Secondary open width fraction.
  openFracPos = LQPtr->resOpenFrac( 42);
  openFracNeg = LQPtr->resOpenFrac(-42);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qg2LeptoQuarkl::sigmaKin() {

  //  Evaluate cross section.
  sigma0 = (M_PI / sH2) * kCoup * (alpS * alpEM / 6.) * (-tH / sH)
    * (uH2 + s3 * s3) / pow2(uH - s3);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat) for specific incoming flavours.

double Sigma2qg2LeptoQuarkl::sigmaHat() {

  // Check that correct incoming flavour.
  if (abs(id1) != idQuark && abs(id2) != idQuark) return 0.;

  // Answer, with secondary width correction.
  double sigma = sigma0;
  sigma *= (id1 == idQuark || id2 == idQuark) ? openFracPos : openFracNeg;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2LeptoQuarkl::setIdColAcol() {

  // Flavour set up for q g -> H q.
  int idq = (id2 == 21) ? id1 : id2;
  int idLQ = (idq > 0) ? 42 : -42;
  int idlp = (idq > 0) ? -idLepton : idLepton;
  setId( id1, id2, idLQ, idlp);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 2, 0, 0, 0);
  else           setColAcol( 2, 1, 1, 0, 2, 0, 0, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2LQLQbar class.
// Cross section for g g -> LQ LQbar (leptoquark state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2LQLQbar::initProc() {

  // Store LQ mass and width for propagator.
  mRes     = particleDataPtr->m0(42);
  GammaRes = particleDataPtr->mWidth(42);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

   // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(42, -42);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2gg2LQLQbar::sigmaKin() {

  // Average outgoing masses and adjust kinematics accordingly.
  double delta = 0.25 * pow2(s3 - s4) / sH;
  double m2avg = 0.5 * (s3 + s4) - delta;
  double tHavg = tH - delta;
  double uHavg = uH - delta;

  //  Evaluate cross section. Secondary width for G*.
  sigma = (M_PI / sH2) * 0.5 * pow2(alpS)
    * ( 7. / 48. + 3. * pow2(uHavg - tHavg) / (16. * sH2) )
    * ( 1. + 2. * m2avg * tHavg / pow2(tHavg - m2avg)
    + 2. * m2avg * uHavg / pow2(uHavg - m2avg)
    + 4. * m2avg * m2avg / ((tHavg - m2avg) * (uHavg - m2avg)) );
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2LQLQbar::setIdColAcol() {

  // Flavours trivial.
  setId( 21, 21, 42, -42);

  // Colour flow topologies: random choice between two mirrors.
  if (rndmPtr->flat() < 0.5) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3);
  else                       setColAcol( 1, 2, 3, 1, 3, 0, 0, 2);

}

//==========================================================================

// Sigma2qqbar2LQLQbar class.
// Cross section for q qbar -> LQ LQbar (leptoquark state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2LQLQbar::initProc() {

  // Store LQ mass and width for propagator.
  mRes     = particleDataPtr->m0(42);
  GammaRes = particleDataPtr->mWidth(42);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Yukawa coupling strength.
  kCoup    = settingsPtr->parm("LeptoQuark:kCoup");

  // Read out quark and lepton the LQ couples to.
  ParticleDataEntry* LQPtr = particleDataPtr->particleDataEntryPtr(42);
  idQuark  = LQPtr->channel(0).product(0);

   // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(42, -42);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qqbar2LQLQbar::sigmaKin() {

  // Average outgoing masses and adjust kinematics accordingly.
  double delta = 0.25 * pow2(s3 - s4) / sH;
  double m2avg = 0.5 * (s3 + s4) - delta;
  double tHavg = tH - delta;
  double uHavg = uH - delta;

  // Evaluate cross section for quark of different flavour than LQ.
  sigmaDiff = (M_PI / sH2) * (pow2(alpS) / 9.)
    * ( sH * (sH - 4. * m2avg) - pow2(uHavg - tHavg) ) / sH2;

  // Evaluate cross section for quark of same flavour as LQ.
  sigmaSame = sigmaDiff + (M_PI / sH2) * (pow2(kCoup * alpEM) / 8.)
    * (-sH * tHavg - pow2(m2avg-tHavg)) / pow2(tHavg)
    + (M_PI / sH2) * (kCoup * alpEM * alpS / 18.) * ( (m2avg - tHavg)
    * (uHavg - tHavg) + sH * (m2avg + tHavg) ) / (sH * tHavg);

  // Open fraction.
  sigmaDiff *= openFrac;
  sigmaSame *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2LQLQbar::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 42, -42);

  // tH defined between f and LQ: must swap tHat <-> uHat if qbar q in.
  swapTU = (id1 < 0);

  // Colour flow topologies.
  if (id1 > 0) setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  else         setColAcol( 0, 2, 1, 0, 1, 0, 0, 2);

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/ParticleDecays.cc0000644000175000017500000012737012357054762016356 0ustar  sunsun// ParticleDecays.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// ParticleDecays class.

#include "Pythia8/ParticleDecays.h"

namespace Pythia8 {

//==========================================================================

// The ParticleDecays class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of times one tries to let decay happen (for 2 nested loops).
const int    ParticleDecays::NTRYDECAY   = 10;

// Number of times one tries to pick valid hadronic content in decay.
const int    ParticleDecays::NTRYPICK    = 100;

// Number of times one tries to pick decay topology.
const int    ParticleDecays::NTRYMEWT    = 1000;

// Maximal loop count in Dalitz decay treatment.
const int    ParticleDecays::NTRYDALITZ  = 1000;

// Minimal Dalitz pair mass this factor above threshold.
const double ParticleDecays::MSAFEDALITZ = 1.000001;

// These numbers are hardwired empirical parameters,
// intended to speed up the M-generator.
const double ParticleDecays::WTCORRECTION[11] = { 1., 1., 1.,
  2., 5., 15., 60., 250., 1250., 7000., 50000. };

//--------------------------------------------------------------------------

// Initialize and save pointers.

void ParticleDecays::init(Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
  Couplings* couplingsPtrIn, TimeShower* timesDecPtrIn,
  StringFlav* flavSelPtrIn, DecayHandler* decayHandlePtrIn,
  vector handledParticles) {

  // Save pointers to error messages handling and flavour generation.
  infoPtr         = infoPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  couplingsPtr    = couplingsPtrIn;
  flavSelPtr      = flavSelPtrIn;

  // Save pointer to timelike shower, as needed in some few decays.
  timesDecPtr     = timesDecPtrIn;

  // Save pointer for external handling of some decays.
  decayHandlePtr  = decayHandlePtrIn;
  
  // Set which particles should be handled externally.
  if (decayHandlePtr != 0)
  for (int i = 0; i < int(handledParticles.size()); ++i)
    particleDataPtr->doExternalDecay(handledParticles[i], true);

  // Safety margin in mass to avoid troubles.
  mSafety       = settings.parm("ParticleDecays:mSafety");

  // Lifetime and vertex rules for determining whether decay allowed.
  limitTau0     = settings.flag("ParticleDecays:limitTau0");
  tau0Max       = settings.parm("ParticleDecays:tau0Max");
  limitTau      = settings.flag("ParticleDecays:limitTau");
  tauMax        = settings.parm("ParticleDecays:tauMax");
  limitRadius   = settings.flag("ParticleDecays:limitRadius");
  rMax          = settings.parm("ParticleDecays:rMax");
  limitCylinder = settings.flag("ParticleDecays:limitCylinder");
  xyMax         = settings.parm("ParticleDecays:xyMax");
  zMax          = settings.parm("ParticleDecays:zMax");
  limitDecay    = limitTau0 || limitTau || limitRadius || limitCylinder;

  // B-Bbar mixing parameters.
  mixB          = settings.flag("ParticleDecays:mixB");
  xBdMix        = settings.parm("ParticleDecays:xBdMix");
  xBsMix        = settings.parm("ParticleDecays:xBsMix");

  // Suppression of extra-hadron momenta in semileptonic decays.
  sigmaSoft     = settings.parm("ParticleDecays:sigmaSoft");

  // Selection of multiplicity and colours in "phase space" model.
  multIncrease     = settings.parm("ParticleDecays:multIncrease");
  multIncreaseWeak = settings.parm("ParticleDecays:multIncreaseWeak");
  multRefMass      = settings.parm("ParticleDecays:multRefMass");
  multGoffset      = settings.parm("ParticleDecays:multGoffset");
  colRearrange     = settings.parm("ParticleDecays:colRearrange");

  // Minimum energy in system (+ m_q) from StringFragmentation.
  stopMass      = settings.parm("StringFragmentation:stopMass");

  // Parameters for Dalitz decay virtual gamma mass spectrum.
  sRhoDal       = pow2(particleDataPtr->m0(113));
  wRhoDal       = pow2(particleDataPtr->mWidth(113));

  // Allow showers in decays to qqbar/gg/ggg/gammagg.
  doFSRinDecays = settings.flag("ParticleDecays:FSRinDecays");
  doGammaRad    = settings.flag("ParticleDecays:allowPhotonRadiation");

  // Use standard decays or dedicated tau decay package
  sophisticatedTau = settings.mode("ParticleDecays:sophisticatedTau");

  // Initialize the dedicated tau decay handler.
  if (sophisticatedTau) tauDecayer.init(infoPtr, &settings,
    particleDataPtr, rndmPtr, couplingsPtr);

}

//--------------------------------------------------------------------------

// Decay a particle; main method.

bool ParticleDecays::decay( int iDec, Event& event) {

  // Check whether a decay is allowed, given the upcoming decay vertex.
  Particle& decayer = event[iDec];
  hasPartons  = false;
  keepPartons = false;
  if (limitDecay && !checkVertex(decayer)) return true;

  // Do not allow resonance decays (beyond handling capability).
  if (decayer.isResonance()) {
    infoPtr->errorMsg("Warning in ParticleDecays::decay: "
      "resonance left undecayed");
    return true;
  }

  // Fill the decaying particle in slot 0 of arrays.
  idDec = decayer.id();
  iProd.resize(0);
  idProd.resize(0);
  mProd.resize(0);
  iProd.push_back( iDec );
  idProd.push_back( idDec );
  mProd.push_back( decayer.m() );

  // Check for oscillations B0 <-> B0bar or B_s0 <-> B_s0bar.
  bool hasOscillated = (abs(idDec) == 511 || abs(idDec) == 531)
    ? oscillateB(decayer) : false;
  if (hasOscillated) {idDec = - idDec; idProd[0] = idDec;}

  // Particle data for decaying particle.
  decDataPtr = &decayer.particleDataEntry();

  // Optionally send on to external decay program.
  bool doneExternally = false;
  if (decDataPtr->doExternalDecay()) {
    pProd.resize(0);
    pProd.push_back(decayer.p());
    doneExternally = decayHandlePtr->decay(idProd, mProd, pProd,
      iDec, event);

    // If it worked, then store the decay products in the event record.
    if (doneExternally) {
      mult = idProd.size() - 1;
      int status = (hasOscillated) ? 94 : 93;
      for (int i = 1; i <= mult; ++i) {
        int iPos = event.append( idProd[i], status, iDec, 0, 0, 0,
        0, 0, pProd[i], mProd[i]);
        iProd.push_back( iPos);
      }

      // Also mark mother decayed and store daughters.
      event[iDec].statusNeg();
      event[iDec].daughters( iProd[1], iProd[mult]);
    }
  }
    
  // Check if the particle is tau and let the special tau decayer handle it.
  if (decayer.idAbs() == 15 && !doneExternally && sophisticatedTau) {
    doneExternally = tauDecayer.decay(iDec, event);
    if (doneExternally) return true;
  }

  // Now begin normal internal decay treatment.
  if (!doneExternally) {

    // Allow up to ten tries to pick a channel.
    if (!decDataPtr->preparePick(idDec, decayer.m())) return false;
    bool foundChannel = false;
    bool hasStored    = false;
    for (int iTryChannel = 0; iTryChannel < NTRYDECAY; ++iTryChannel) {

      // Remove previous failed channel.
      if (hasStored) event.popBack(mult);
      hasStored = false;

      // Pick new channel. Read out basics.
      DecayChannel& channel = decDataPtr->pickChannel();
      meMode = channel.meMode();
      keepPartons = (meMode > 90 && meMode <= 100);
      mult = channel.multiplicity();

      // Allow up to ten tries for each channel (e.g with different masses).
      bool foundMode = false;
      for (int iTryMode = 0; iTryMode < NTRYDECAY; ++iTryMode) {
        idProd.resize(1);
        mProd.resize(1);
        scale = 0.;
     
        // Extract and store the decay products in local arrays.
        hasPartons = false;
        for (int i = 0; i < mult; ++i) {
          int idNow = channel.product(i);
          int idAbs = abs(idNow);
          if ( idAbs < 10 || idAbs == 21 || idAbs == 81 || idAbs == 82
            || idAbs == 83 || (idAbs > 1000 && idAbs < 10000
            && (idAbs/10)%10 == 0) ) hasPartons = true;
          if (idDec < 0 && particleDataPtr->hasAnti(idNow)) idNow = -idNow;
          double mNow = particleDataPtr->mSel(idNow);
          idProd.push_back( idNow);
          mProd.push_back( mNow);
        }

        // Decays into partons usually translate into hadrons.
        if (hasPartons && !keepPartons && !pickHadrons()) continue;

        // Need to set colour flow if explicit decay to partons.
        cols.resize(0);
        acols.resize(0);
        for (int i = 0; i <= mult; ++i) {
          cols.push_back(0);
          acols.push_back(0);
        }
        if (hasPartons && keepPartons && !setColours(event)) continue;

        // Check that enough phase space for decay.
        if (mult > 1) {
          double mDiff = mProd[0];
          for (int i = 1; i <= mult; ++i) mDiff -= mProd[i];
          if (mDiff < mSafety) continue;
        }
  
        // End of inner trial loops. Check if succeeded or not.
        foundMode = true;
        break;
      }
      if (!foundMode) continue;
    
      // Store decay products in the event record.
      int status = (hasOscillated) ? 92 : 91;
      for (int i = 1; i <= mult; ++i) {
        int iPos = event.append( idProd[i], status, iDec, 0, 0, 0,
          cols[i], acols[i], Vec4(0., 0., 0., 0.), mProd[i], scale);
        iProd.push_back( iPos);
      }
      hasStored = true;

      // Pick mass of Dalitz decay. Temporarily change multiplicity.
      if ( (meMode == 11 || meMode == 12 || meMode == 13)
        && !dalitzMass() ) continue;

      // Do a decay, split by multiplicity.
      bool decayed = false;
      if      (mult == 1) decayed = oneBody(event);
      else if (mult == 2) decayed = twoBody(event);
      else if (mult == 3) decayed = threeBody(event);
      else                decayed = mGenerator(event);
      if (!decayed) continue;

      // Kinematics of gamma* -> l- l+ in Dalitz decay. Restore multiplicity.
      if (meMode == 11 || meMode == 12 || meMode == 13)
        dalitzKinematics(event);

      // End of outer trial loops.
      foundChannel = true;
      break;
    }

    // If the decay worked, then mark mother decayed and store daughters.
    if (foundChannel) {
      event[iDec].statusNeg();
      event[iDec].daughters( iProd[1], iProd[mult]);
  
    // Else remove unused daughters and return failure.
    } else {
      if (hasStored) event.popBack(mult);
      infoPtr->errorMsg("Error in ParticleDecays::decay: "
        "failed to find workable decay channel");
      return false;
    }

  // Now finished normal internal decay treatment.
  }

  // Set decay vertex when this is displaced.
  if (event[iDec].hasVertex() || event[iDec].tau() > 0.) {
    Vec4 vDec = event[iDec].vDec();
    for (int i = 1; i <= mult; ++i) event[iProd[i]].vProd( vDec );
  }

  // Set lifetime of daughters.
  for (int i = 1; i <= mult; ++i)
    event[iProd[i]].tau( event[iProd[i]].tau0() * rndmPtr->exp() );
  
  // In a decay explicitly to partons then optionally do a shower,
  // and always flag that partonic system should be fragmented.
  if (hasPartons && keepPartons && doFSRinDecays)
    timesDecPtr->shower( iProd[1], iProd.back(), event, mProd[0]);

  // Photon radiation implemented only for two-body decay to leptons.
  else if (doGammaRad && mult == 2 && event[iProd[1]].isLepton()
  && event[iProd[2]].isLepton())
    timesDecPtr->showerQED( iProd[1], iProd[2], event, mProd[0]);

  // For Hidden Valley particles also allow leptons to shower.
  else if (event[iDec].idAbs() > 4900000 && event[iDec].idAbs() < 5000000
  && doFSRinDecays && mult == 2 && event[iProd[1]].isLepton()) {
    event[iProd[1]].scale(mProd[0]);
    event[iProd[2]].scale(mProd[0]);
    timesDecPtr->shower( iProd[1], iProd.back(), event, mProd[0]);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Check whether a decay is allowed, given the upcoming decay vertex.

bool ParticleDecays::checkVertex(Particle& decayer) {

  // Check whether any of the conditions are not fulfilled.
  if (limitTau0 && decayer.tau0() > tau0Max) return false;
  if (limitTau && decayer.tau() > tauMax) return false;
  if (limitRadius && pow2(decayer.xDec()) + pow2(decayer.yDec())
    + pow2(decayer.zDec()) > pow2(rMax)) return false;
  if (limitCylinder && (pow2(decayer.xDec()) + pow2(decayer.yDec())
    > pow2(xyMax) || abs(decayer.zDec()) > zMax) ) return false;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Check for oscillations B0 <-> B0bar or B_s0 <-> B_s0bar.

bool ParticleDecays::oscillateB(Particle& decayer) {

  // Extract relevant information and decide.
  if (!mixB) return false;
  double xBmix   = (abs(decayer.id()) == 511) ? xBdMix : xBsMix;
  double tau     = decayer.tau();
  double tau0    = decayer.tau0();
  double probosc = pow2(sin(0.5 * xBmix * tau / tau0));
  return (probosc > rndmPtr->flat());

}

//--------------------------------------------------------------------------

// Do a one-body decay. (Rare; e.g. for K0 -> K0_short.)

bool ParticleDecays::oneBody(Event& event) {

  // References to the particles involved.
  Particle& decayer = event[iProd[0]];
  Particle& prod    = event[iProd[1]];
   
  // Set momentum and expand mother information.
  prod.p( decayer.p() );
  prod.m( decayer.m() );
  prod.mother2( iProd[0] );

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Do a two-body decay.

bool ParticleDecays::twoBody(Event& event) {

  // References to the particles involved.
  Particle& decayer = event[iProd[0]];
  Particle& prod1   = event[iProd[1]];
  Particle& prod2   = event[iProd[2]];

  // Masses.
  double m0   = mProd[0];
  double m1   = mProd[1];
  double m2   = mProd[2];

  // Energies and absolute momentum in the rest frame.
  if (m1 + m2 + mSafety > m0) return false;
  double e1   = 0.5 * (m0*m0 + m1*m1 - m2*m2) / m0;
  double e2   = 0.5 * (m0*m0 + m2*m2 - m1*m1) / m0;
  double pAbs = 0.5 * sqrtpos( (m0 - m1 - m2) * (m0 + m1 + m2)
    * (m0 + m1 - m2) * (m0 - m1 + m2) ) / m0;

  // When meMode = 2, for V -> PS2 + PS3 (V = vector, pseudoscalar),
  // need to check if production is PS0 -> PS1/gamma + V.
  int iMother = event[iProd[0]].mother1();
  int idSister = 0;
  if (meMode == 2) {
    if (iMother <= 0 || iMother >= iProd[0]) meMode = 0;
    else {
      int iDaughter1 = event[iMother].daughter1();
      int iDaughter2 = event[iMother].daughter2();
      if (iDaughter2 != iDaughter1 + 1) meMode = 0;
      else {
        int idMother = abs( event[iMother].id() );
        if (idMother <= 100 || idMother%10 !=1
          || (idMother/1000)%10 != 0) meMode = 0;
        else {
          int iSister = (iProd[0] == iDaughter1) ? iDaughter2 : iDaughter1;
          idSister = abs( event[iSister].id() );
          if ( (idSister <= 100 || idSister%10 !=1
            || (idSister/1000)%10 != 0) && idSister != 22) meMode = 0;
        }
      }
    }
  }

  // Begin loop over matrix-element corrections.
  double wtME, wtMEmax;
  int loop = 0;
  do {
    wtME = 1.;
    wtMEmax = 1.;
    ++loop;

    // Isotropic angles give three-momentum.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = pAbs * sinTheta * cos(phi);
    double pY       = pAbs * sinTheta * sin(phi);
    double pZ       = pAbs * cosTheta;

    // Fill four-momenta and boost them away from mother rest frame.
    prod1.p(  pX,  pY,  pZ, e1);
    prod2.p( -pX, -pY, -pZ, e2);
    prod1.bst( decayer.p(), decayer.m() );
    prod2.bst( decayer.p(), decayer.m() );

    // Matrix element for PS0 -> PS1 + V1 -> PS1 + PS2 + PS3 of form
    // cos**2(theta02) in V1 rest frame, and for PS0 -> gamma + V1
    // -> gamma + PS2 + PS3 of form sin**2(theta02).
    if (meMode == 2) {
      double p10 = decayer.p() * event[iMother].p();
      double p12 = decayer.p() * prod1.p();
      double p02 = event[iMother].p() * prod1.p();
      double s0  = pow2(event[iMother].m());
      double s1  = pow2(decayer.m());
      double s2  =  pow2(prod1.m());
      if (idSister != 22) wtME = pow2(p10 * p12 - s1 * p02);
      else wtME = s1 * (2. * p10 * p12 * p02 - s1 * p02*p02
        - s0 * p12*p12 - s2 * p10*p10 + s1 * s0 * s2);
      wtME = max( wtME, 1e-6 * s1*s1 * s0 * s2);
      wtMEmax = (p10*p10 - s1 * s0) * (p12*p12 - s1 * s2);
    }

    // Break out of loop if no sensible ME weight.
    if(loop > NTRYMEWT) {
      infoPtr->errorMsg("ParticleDecays::twoBody: "
        "caught in infinite ME weight loop");
      wtME = abs(wtMEmax);
    }

  // If rejected, try again with new invariant masses.
  } while ( wtME < rndmPtr->flat() * wtMEmax );

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Do a three-body decay (except Dalitz decays).

bool ParticleDecays::threeBody(Event& event) {

  // References to the particles involved.
  Particle& decayer = event[iProd[0]];
  Particle& prod1   = event[iProd[1]];
  Particle& prod2   = event[iProd[2]];
  Particle& prod3   = event[iProd[3]];

  // Mother and sum daughter masses. Fail if too close.
  double m0      = mProd[0];
  double m1      = mProd[1];
  double m2      = mProd[2];
  double m3      = mProd[3];
  double mSum    = m1 + m2 + m3;
  double mDiff   = m0 - mSum;
  if (mDiff < mSafety) return false;

  // Kinematical limits for 2+3 mass. Maximum phase-space weight.
  double m23Min  = m2 + m3;
  double m23Max  = m0 - m1;
  double p1Max   = 0.5 * sqrtpos( (m0 - m1 - m23Min) * (m0 + m1 + m23Min)
    * (m0 + m1 - m23Min) * (m0 - m1 + m23Min) ) / m0;
  double p23Max  = 0.5 * sqrtpos( (m23Max - m2 - m3) * (m23Max + m2 + m3)
    * (m23Max + m2 - m3) * (m23Max - m2 + m3) ) / m23Max;
  double wtPSmax = 0.5 * p1Max * p23Max;

  // Begin loop over matrix-element corrections.
  double wtME, wtMEmax, wtPS, m23, p1Abs, p23Abs;
  do {
    wtME     = 1.;
    wtMEmax  = 1.;

    // Pick an intermediate mass m23 flat in the allowed range.
    do {
      m23    = m23Min + rndmPtr->flat() * mDiff;

      // Translate into relative momenta and find phase-space weight.
      p1Abs  = 0.5 * sqrtpos( (m0 - m1 - m23) * (m0 + m1 + m23)
        * (m0 + m1 - m23) * (m0 - m1 + m23) ) / m0;
      p23Abs = 0.5 * sqrtpos( (m23 - m2 - m3) * (m23 + m2 + m3)
        * (m23 + m2 - m3) * (m23 - m2 + m3) ) / m23;
      wtPS   = p1Abs * p23Abs;

    // If rejected, try again with new invariant masses.
    } while ( wtPS < rndmPtr->flat() * wtPSmax );

    // Set up m23 -> m2 + m3 isotropic in its rest frame.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = p23Abs * sinTheta * cos(phi);
    double pY       = p23Abs * sinTheta * sin(phi);
    double pZ       = p23Abs * cosTheta;
    double e2       = sqrt( m2*m2 + p23Abs*p23Abs);
    double e3       = sqrt( m3*m3 + p23Abs*p23Abs);
    prod2.p(  pX,  pY,  pZ, e2);
    prod3.p( -pX, -pY, -pZ, e3);

    // Set up m0 -> m1 + m23 isotropic in its rest frame.
    cosTheta        = 2. * rndmPtr->flat() - 1.;
    sinTheta        = sqrt(1. - cosTheta*cosTheta);
    phi             = 2. * M_PI * rndmPtr->flat();
    pX              = p1Abs * sinTheta * cos(phi);
    pY              = p1Abs * sinTheta * sin(phi);
    pZ              = p1Abs * cosTheta;
    double e1       = sqrt( m1*m1 + p1Abs*p1Abs);
    double e23      = sqrt( m23*m23 + p1Abs*p1Abs);
    prod1.p( pX, pY, pZ, e1);

    // Boost 2 + 3 to the 0 rest frame.
    Vec4 p23( -pX, -pY, -pZ, e23);
    prod2.bst( p23, m23 );
    prod3.bst( p23, m23 );

    // Matrix-element weight for omega/phi -> pi+ pi- pi0.
    if (meMode == 1) {
      double p1p2 = prod1.p() * prod2.p();
      double p1p3 = prod1.p() * prod3.p();
      double p2p3 = prod2.p() * prod3.p();
      wtME = pow2(m1 * m2 * m3) - pow2(m1 * p2p3) - pow2(m2 * p1p3)
        - pow2(m3 * p1p2) + 2. * p1p2 * p1p3 * p2p3;
      wtMEmax = pow3(m0 * m0) / 150.;

    // Effective matrix element for nu spectrum in tau -> nu + hadrons.
    } else if (meMode == 21) {
      double x1 = 2. *  prod1.e() / m0;
      wtME = x1 * (3. - 2. * x1);
      double xMax = min( 0.75, 2. * (1. - mSum / m0) );
      wtMEmax = xMax * (3. - 2. * xMax);

    // Matrix element for weak decay (only semileptonic for c and b).
    } else if ((meMode == 22 || meMode == 23) && prod1.isLepton()) {
      wtME = m0 * prod1.e() * (prod2.p() * prod3.p());
      wtMEmax = min( pow4(m0) / 16., m0 * (m0 - m1 - m2) * (m0 - m1 - m3)
        * (m0 - m2 - m3) );

    // Effective matrix element for weak decay to hadrons (B -> D, D -> K).
    } else if (meMode == 22 || meMode == 23) {
      double x1 = 2. * prod1.pAbs() / m0;
      wtME = x1 * (3. - 2. * x1);
      double xMax = min( 0.75, 2. * (1. - mSum / m0) );
      wtMEmax = xMax * (3. - 2. * xMax);

    // Effective matrix element for gamma spectrum in B -> gamma + hadrons.
    } else if (meMode == 31) {
      double x1 = 2. * prod1.e() / m0;
      wtME = pow3(x1);
      double x1Max = 1. - pow2(mSum / m0);
      wtMEmax = pow3(x1Max);

    // Matrix-element weight for "onium" -> g + g + g or gamma + g + g.
    } else if (meMode == 92) {
      double x1 = 2. * prod1.e() / m0;
      double x2 = 2. * prod2.e() / m0;
      double x3 = 2. * prod3.e() / m0;
      wtME = pow2( (1. - x1) / (x2 * x3) ) + pow2( (1. - x2) / (x1 * x3) )
        + pow2( (1. - x3) / (x1 * x2) );
      wtMEmax = 2.;
      // For gamma + g + g require minimum mass for g + g system.
      if (prod1.id() == 22 && sqrt(1. - x1) * m0 < 2. * stopMass) wtME = 0.;
      if (prod2.id() == 22 && sqrt(1. - x2) * m0 < 2. * stopMass) wtME = 0.;
      if (prod3.id() == 22 && sqrt(1. - x3) * m0 < 2. * stopMass) wtME = 0.;
    }

  // If rejected, try again with new invariant masses.
  } while ( wtME < rndmPtr->flat() * wtMEmax );

  // Boost 1 + 2 + 3 to the current frame.
  prod1.bst( decayer.p(), decayer.m() );
  prod2.bst( decayer.p(), decayer.m() );
  prod3.bst( decayer.p(), decayer.m() );

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Do a multibody decay using the M-generator algorithm.

bool ParticleDecays::mGenerator(Event& event) {

  // Mother and sum daughter masses. Fail if too close or inconsistent.
  double m0      = mProd[0];
  double mSum    = mProd[1];
  for (int i = 2; i <= mult; ++i) mSum += mProd[i];
  double mDiff   = m0 - mSum;
  if (mDiff < mSafety) return false;
   
  // Begin setup of intermediate invariant masses.
  mInv.resize(0);
  for (int i = 0; i <= mult; ++i) mInv.push_back( mProd[i]);

  // Calculate the maximum weight in the decay.
  double wtPS, wtME, wtMEmax;
  double wtPSmax = 1. / WTCORRECTION[mult];
  double mMax    = mDiff + mProd[mult];
  double mMin    = 0.;
  for (int i = mult - 1; i > 0; --i) {
    mMax        += mProd[i];
    mMin        += mProd[i+1];
    double mNow  = mProd[i];
    wtPSmax     *= 0.5 * sqrtpos( (mMax - mMin - mNow) * (mMax + mMin + mNow)
                 * (mMax + mMin - mNow) * (mMax - mMin + mNow) ) / mMax;
  }

  // Begin loop over matrix-element corrections.
  do {
    wtME    = 1.;
    wtMEmax = 1.;

    // Begin loop to find the set of intermediate invariant masses.
    do {
      wtPS  = 1.;

      // Find and order random numbers in descending order.
      rndmOrd.resize(0);
      rndmOrd.push_back(1.);
      for (int i = 1; i < mult - 1; ++i) {
        double rndm = rndmPtr->flat();
        rndmOrd.push_back(rndm);
        for (int j = i - 1; j > 0; --j) {
          if (rndm > rndmOrd[j]) swap( rndmOrd[j], rndmOrd[j+1] );
          else break;
        }
      }
      rndmOrd.push_back(0.);
  
      // Translate into intermediate masses and find weight.
      for (int i = mult - 1; i > 0; --i) {
        mInv[i] = mInv[i+1] + mProd[i] + (rndmOrd[i-1] - rndmOrd[i]) * mDiff;
        wtPS   *= 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - mProd[i])
          * (mInv[i] + mInv[i+1] + mProd[i]) * (mInv[i] + mInv[i+1] - mProd[i])
          * (mInv[i] - mInv[i+1] + mProd[i]) ) / mInv[i];
      }

    // If rejected, try again with new invariant masses.
    } while ( wtPS < rndmPtr->flat() * wtPSmax );

    // Perform two-particle decays in the respective rest frame.
    pInv.resize(mult + 1);
    for (int i = 1; i < mult; ++i) {
      double pAbs = 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - mProd[i])
        * (mInv[i] + mInv[i+1] + mProd[i]) * (mInv[i] + mInv[i+1] - mProd[i])
        * (mInv[i] - mInv[i+1] + mProd[i]) ) / mInv[i];

      // Isotropic angles give three-momentum.
      double cosTheta = 2. * rndmPtr->flat() - 1.;
      double sinTheta = sqrt(1. - cosTheta*cosTheta);
      double phi      = 2. * M_PI * rndmPtr->flat();
      double pX       = pAbs * sinTheta * cos(phi);
      double pY       = pAbs * sinTheta * sin(phi);
      double pZ       = pAbs * cosTheta;

      // Calculate energies, fill four-momenta.
      double eHad     = sqrt( mProd[i]*mProd[i] + pAbs*pAbs);
      double eInv     = sqrt( mInv[i+1]*mInv[i+1] + pAbs*pAbs);
      event[iProd[i]].p( pX, pY, pZ, eHad);
      pInv[i+1].p( -pX, -pY, -pZ, eInv);
    }
  
    // Boost decay products to the mother rest frame.
    event[iProd[mult]].p( pInv[mult] );
    for (int iFrame = mult - 1; iFrame > 1; --iFrame)
      for (int i = iFrame; i <= mult; ++i)
        event[iProd[i]].bst( pInv[iFrame], mInv[iFrame]);

    // Effective matrix element for nu spectrum in tau -> nu + hadrons.
    if (meMode == 21 && event[iProd[1]].isLepton()) {
      double x1 = 2. * event[iProd[1]].e() / m0;
      wtME = x1 * (3. - 2. * x1);
      double xMax = min( 0.75, 2. * (1. - mSum / m0) );
      wtMEmax = xMax * (3. - 2. * xMax);

    // Effective matrix element for weak decay (only semileptonic for c and b).
    // Particles 4 onwards should be made softer explicitly?
    } else if ((meMode == 22 || meMode == 23) && event[iProd[1]].isLepton()) {
      Vec4 pRest = event[iProd[3]].p();
      for (int i = 4; i <= mult; ++i) pRest += event[iProd[i]].p();
      wtME = m0 * event[iProd[1]].e() * (event[iProd[2]].p() * pRest);
      for (int i = 4; i <= mult; ++i) wtME
        *= exp(- event[iProd[i]].pAbs2() / pow2(sigmaSoft) );
      wtMEmax = pow4(m0) / 16.;

    // Effective matrix element for weak decay to hadrons (B -> D, D -> K).
    } else if (meMode == 22 || meMode == 23) {
      double x1 = 2. * event[iProd[1]].pAbs() / m0;
      wtME = x1 * (3. - 2. * x1);
      double xMax = min( 0.75, 2. * (1. - mSum / m0) );
      wtMEmax = xMax * (3. - 2. * xMax);

    // Effective matrix element for gamma spectrum in B -> gamma + hadrons.
    } else if (meMode == 31) {
      double x1 = 2. * event[iProd[1]].e() / m0;
      wtME = pow3(x1);
      double x1Max = 1. - pow2(mSum / m0);
      wtMEmax = pow3(x1Max);
    }

  // If rejected, try again with new invariant masses.
  } while ( wtME < rndmPtr->flat() * wtMEmax );

  // Boost decay products to the current frame.
  pInv[1].p( event[iProd[0]].p() );
  for (int i = 1; i <= mult; ++i) event[iProd[i]].bst( pInv[1], mInv[1] );

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select mass of lepton pair in a Dalitz decay.

bool ParticleDecays::dalitzMass() {

  // Mother and sum daughter masses.
  double mSum1 = 0;
  for (int i = 1; i <= mult - 2; ++i) mSum1 += mProd[i];
  if (meMode == 13) mSum1 *= MSAFEDALITZ;
  double mSum2 = MSAFEDALITZ * (mProd[mult -1] + mProd[mult]);
  double mDiff = mProd[0] - mSum1 - mSum2;

  // Fail if too close or inconsistent.
  if (mDiff < mSafety) return false;
  if (idProd[mult - 1] + idProd[mult] != 0
    || mProd[mult - 1] != mProd[mult]) {
    infoPtr->errorMsg("Error in ParticleDecays::dalitzMass:"
    " inconsistent flavour/mass assignments");
    return false;
  }
  if ( meMode == 13 && (idProd[1] + idProd[2] != 0
    || mProd[1] != mProd[2]) ) {
    infoPtr->errorMsg("Error in ParticleDecays::dalitzMass:"
    " inconsistent flavour/mass assignments");
    return false;
  }

  // Case 1: one Dalitz pair.
  if (meMode == 11 || meMode == 12) {

    // Kinematical limits for gamma* squared mass.
    double sGamMin = pow2(mSum2);
    double sGamMax = pow2(mProd[0] - mSum1);
    // Select virtual gamma squared mass. Guessed form for meMode == 12.
    double sGam, wtGam;
    int loop = 0;
    do {
      if (++loop > NTRYDALITZ) return false;
      sGam = sGamMin * pow( sGamMax / sGamMin, rndmPtr->flat() );
      wtGam = (1. + 0.5 * sGamMin / sGam) *  sqrt(1. - sGamMin / sGam)
        * pow3(1. - sGam / sGamMax) * sRhoDal * (sRhoDal + wRhoDal)
        / ( pow2(sGam - sRhoDal) + sRhoDal * wRhoDal );
    } while ( wtGam < rndmPtr->flat() );

    // Store results in preparation for doing a one-less-body decay.
    --mult;
    mProd[mult] = sqrt(sGam);

  // Case 2: two Dalitz pairs.
  } else {

    // Kinematical limits for 1 + 2 and 3 + 4 gamma* masses.
    double s0 = pow2(mProd[0]);
    double s12Min = pow2(mSum1);
    double s12Max = pow2(mProd[0] - mSum2);
    double s34Min = pow2(mSum2);
    double s34Max = pow2(mProd[0] - mSum1);

    // Select virtual gamma squared masses. Guessed form for meMode == 13.
    double s12, s34, wt12, wt34, wtPAbs, wtAll;
    int loop = 0;
    do {
      if (++loop > NTRYDALITZ) return false;
      s12 = s12Min * pow( s12Max / s12Min, rndmPtr->flat() );
      wt12 = (1. + 0.5 * s12Min / s12) *  sqrt(1. - s12Min / s12)
        * sRhoDal * (sRhoDal + wRhoDal)
        / ( pow2(s12 - sRhoDal) + sRhoDal * wRhoDal );
      s34 = s34Min * pow( s34Max / s34Min, rndmPtr->flat() );
      wt34 = (1. + 0.5 * s34Min / s34) *  sqrt(1. - s34Min / s34)
        * sRhoDal * (sRhoDal + wRhoDal)
        / ( pow2(s34 - sRhoDal) + sRhoDal * wRhoDal );
      wtPAbs = sqrtpos( pow2(1. - (s12 + s34)/ s0)
        - 4. * s12 * s34 / (s0 * s0) );
      wtAll = wt12 * wt34 * pow3(wtPAbs);
      if (wtAll > 1.) infoPtr->errorMsg(
        "Error in ParticleDecays::dalitzMass: weight > 1");
    } while (wtAll < rndmPtr->flat());

    // Store results in preparation for doing a two-body decay.
    mult = 2;
    mProd[1] = sqrt(s12);
    mProd[2] = sqrt(s34);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Do kinematics of gamma* -> l- l+ in Dalitz decay.

bool ParticleDecays::dalitzKinematics(Event& event) {
 
  // Restore multiplicity.
  int nDal = (meMode < 13) ? 1 : 2;
  mult += nDal;

  // Loop over one or two lepton pairs.
  for (int iDal = 0; iDal < nDal; ++iDal) {
 
    // References to the particles involved.
    Particle& decayer = event[iProd[0]];
    Particle& prodA = (iDal == 0) ? event[iProd[mult - 1]]
      : event[iProd[1]];
    Particle& prodB = (iDal == 0) ? event[iProd[mult]]
      : event[iProd[2]];

    // Reconstruct required rotations and boosts backwards.
    Vec4 pDec    = decayer.p();
    int  iGam    = (meMode < 13) ? mult - 1 : 2 - iDal;
    Vec4 pGam    = event[iProd[iGam]].p();
    pGam.bstback( pDec, decayer.m() );
    double phiGam = pGam.phi();
    pGam.rot( 0., -phiGam);
    double thetaGam = pGam.theta();
    pGam.rot( -thetaGam, 0.);

    // Masses and phase space in gamma* rest frame.
    double mGam     = (meMode < 13) ? mProd[mult - 1] : mProd[2 - iDal];
    double mA       = prodA.m();
    double mB       = prodB.m();
    double mGamMin  = MSAFEDALITZ * (mA + mB);
    double mGamRat  = pow2(mGamMin / mGam);
    double pGamAbs  = 0.5 * sqrtpos( (mGam - mA - mB) * (mGam + mA + mB) );

    // Set up decay in gamma* rest frame, reference along +z axis.
    double cosTheta, cos2Theta;
    do {
      cosTheta      = 2. * rndmPtr->flat() - 1.;
      cos2Theta     = cosTheta * cosTheta;
    } while ( 1. + cos2Theta + mGamRat * (1. - cos2Theta)
      < 2. * rndmPtr->flat() );
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi      = 2. * M_PI * rndmPtr->flat();
    double pX       = pGamAbs * sinTheta * cos(phi);
    double pY       = pGamAbs * sinTheta * sin(phi);
    double pZ       = pGamAbs * cosTheta;
    double eA       = sqrt( mA*mA + pGamAbs*pGamAbs);
    double eB       = sqrt( mB*mB + pGamAbs*pGamAbs);
    prodA.p(  pX,  pY,  pZ, eA);
    prodB.p( -pX, -pY, -pZ, eB);

    // Boost to lab frame.
    prodA.bst( pGam, mGam);
    prodB.bst( pGam, mGam);
    prodA.rot( thetaGam, phiGam);
    prodB.rot( thetaGam, phiGam);
    prodA.bst( pDec, decayer.m() );
    prodB.bst( pDec, decayer.m() );
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Translate a partonic content into a set of actual hadrons.

bool ParticleDecays::pickHadrons() {

  // Find partonic decay products. Rest are known id's, mainly hadrons,
  // when necessary shuffled to beginning of idProd list.
  idPartons.resize(0);
  int nPartons = 0;
  int nKnown = 0;
  bool closedGLoop = false;
  for (int i = 1; i <= mult; ++i) {
    int idAbs = abs(idProd[i]);
    if ( idAbs < 9 || (idAbs > 1000 && idAbs < 10000 && (idAbs/10)%10 == 0)
      || idAbs == 81 || idAbs == 82 || idAbs == 83) {
      ++nPartons;
      idPartons.push_back(idProd[i]);
      if (idAbs == 83) closedGLoop = true;
    } else {
      ++nKnown;
      if (nPartons > 0) {
        idProd[nKnown] = idProd[i];
        mProd[nKnown] = mProd[i];
      }
    }
  }

  // Replace generic spectator flavour code by the actual one.
  for (int i = 0; i < nPartons; ++i) {
    int idPart = idPartons[i];
    int idNew = idPart;
    if (idPart == 81) {
      int idAbs = abs(idDec);
      if ( (idAbs/1000)%10 == 0 ) {
        idNew = -(idAbs/10)%10;
        if ((idAbs/100)%2 == 1) idNew = -idNew;
      } else if ( (idAbs/100)%10 >= (idAbs/10)%10 )
        idNew = 100 * ((idAbs/10)%100) + 3;
      else idNew = 1000 * ((idAbs/10)%10) + 100 * ((idAbs/100)%10) + 1;
      if (idDec < 0) idNew = -idNew;

    // Replace generic random flavour by a randomly selected one.
    } else if (idPart == 82 || idPart == 83) {
      double mFlav;
      do {
        int idDummy = -flavSelPtr->pickLightQ();
        FlavContainer flavDummy(idDummy, idPart - 82);
        do idNew = flavSelPtr->pick(flavDummy).id;
        while (idNew == 0);
        mFlav = particleDataPtr->constituentMass(idNew);
      } while (2. * mFlav + stopMass > mProd[0]);
    } else if (idPart == -82 || idPart == -83) {
      idNew = -idPartons[i-1];
    }
    idPartons[i] = idNew;
  }

  // Determine whether fixed multiplicity or to be selected at random.
  int nMin = max( 2, nKnown + nPartons / 2);
  if (meMode == 23) nMin = 3;
  if (meMode > 41 && meMode <= 50) nMin = meMode - 40;
  if (meMode > 51 && meMode <= 60) nMin = meMode - 50;
  int nFix = 0;
  if (meMode == 0) nFix = nMin;
  if (meMode == 11) nFix = 3;
  if (meMode == 12) nFix = 4;
  if (meMode > 61 && meMode <= 70) nFix = meMode - 60;
  if (meMode > 71 && meMode <= 80) nFix = meMode - 70;
  if (nFix > 0 && nKnown + nPartons/2 > nFix) return false;

  // Initial values for loop to set new hadronic content.
  int nFilled, nTotal, nNew, nSpec, nLeft;
  double mDiff;
  int nTry = 0;
  bool diquarkClash = false;
  bool usedChannel  = false;

  // Begin loop; interrupt if multiple tries fail.
  do {
    ++nTry;
    if (nTry > NTRYPICK) return false;

    // Initialize variables inside new try.
    nFilled = nKnown + 1;
    idProd.resize(nFilled);
    mProd.resize(nFilled);
    nTotal = nKnown;
    nSpec = 0;
    nLeft = nPartons;
    mDiff = mProd[0];
    for (int i = 1; i < nFilled; ++i) mDiff -= mProd[i];
    diquarkClash = false;
    usedChannel = false;

    // For weak decays collapse spectators to one particle.
    if ( (meMode == 22 || meMode == 23) && nLeft > 1) {
      FlavContainer flav1( idPartons[nPartons - 2] );
      FlavContainer flav2( idPartons[nPartons - 1] );
      int idHad;
      do idHad = flavSelPtr->combine( flav1, flav2);
      while (idHad == 0);
      double mHad = particleDataPtr->mSel(idHad);
      mDiff -= mHad;
      idProd.push_back( idHad);
      mProd.push_back( mHad);
      ++nFilled;
      nSpec = 1;
      nLeft -= 2;
    }

    // If there are partons left, then determine how many hadrons to pick.
    if (nLeft > 0) {

      // For B -> gamma + X use geometrical distribution.
      if (meMode == 31) {
        double geom = rndmPtr->flat();
        nTotal = 1;
        do {
          ++nTotal;
          geom *= 2.;
        } while (geom < 1. && nTotal < 10);

      // Calculate mass excess and from there average multiplicity.
      } else if (nFix == 0) {
        double multIncreaseNow = (meMode == 23)
          ? multIncreaseWeak : multIncrease;
        double mDiffPS = mDiff;
        for (int i = 0; i < nLeft; ++i)
          mDiffPS -= particleDataPtr->constituentMass( idPartons[i] );
        double average = 0.5 * (nKnown + nSpec) + 0.25 * nPartons
          + multIncreaseNow * log( max( 1.1, mDiffPS / multRefMass ) );
        if (closedGLoop) average += multGoffset;

        // Pick multiplicity according to Poissonian.
        double value = 1.;
        double sum = 1.;
        for (int nNow = nMin + 1; nNow <= 10; ++nNow) {
          value *= average / nNow;
          sum += value;
        }
        nTotal = nMin;
        value = 1.;
        sum *= rndmPtr->flat();
        sum -= value;
        if (sum > 0.) do {
          ++nTotal;
          value *= average / nTotal;
          sum -= value;
        } while (sum > 0. && nTotal < 10);

      // Alternatively predetermined multiplicity.
      } else {
        nTotal = nFix;
      }
      nNew = nTotal - nKnown - nSpec;

      // Set up ends of fragmented system, as copy of idPartons.
      flavEnds.resize(0);
      for (int i = 0; i < nLeft; ++i) {
        flavEnds.push_back( FlavContainer(idPartons[i]) );
        if (abs(idPartons[i]) > 100) flavSelPtr->assignPopQ( flavEnds[i] );
      }
    
      // Fragment off at random, but save nLeft/2 for final recombination.
      if (nNew > nLeft/2) {
        FlavContainer flavNew;
        int idHad;
        for (int i = 0; i < nNew - nLeft/2; ++i) {
          // When four quarks consider last one to be spectator.
          int iEnd = int( (nLeft - 1.) * rndmPtr->flat() );
          // Pick new flavour and form a new hadron.
          do {
            flavNew = flavSelPtr->pick( flavEnds[iEnd] );
            idHad = flavSelPtr->combine( flavEnds[iEnd], flavNew);
          } while (idHad == 0);
          // Store new hadron and endpoint flavour.
          idProd.push_back( idHad);
          flavEnds[iEnd].anti(flavNew);
        }
      }
      
      // When only two quarks left, combine to form final hadron.
      if (nLeft == 2) {
        int idHad;
        if ( abs(flavEnds[0].id) > 8 && abs(flavEnds[1].id) > 8)
          diquarkClash = true;
        else {
          do idHad = flavSelPtr->combine( flavEnds[0], flavEnds[1]);
          while (idHad == 0);
          idProd.push_back( idHad);
        }

      // If four quarks, decide how to pair them up.
      } else {
        int iEnd1 = 0;
        int iEnd2 = 1;
        int iEnd3 = 2;
        int iEnd4 = 3;
        if ( rndmPtr->flat() < colRearrange) iEnd2 = 3;
        int relColSign =
          ( (flavEnds[iEnd1].id > 0 && flavEnds[iEnd1].id < 9)
          || flavEnds[iEnd1].id < -10 ) ? 1 : -1;
        if ( (flavEnds[iEnd2].id < 0 && flavEnds[iEnd2].id > -9)
          || flavEnds[iEnd2].id > 10 ) relColSign *= -1;
        if (relColSign == 1) iEnd2 = 2;
        if (iEnd2 == 2) iEnd3 = 1;
        if (iEnd2 == 3) iEnd4 = 1;
        
        // Then combine to get final two hadrons.
        int idHad;
        if ( abs(flavEnds[iEnd1].id) > 8 && abs(flavEnds[iEnd2].id) > 8)
          diquarkClash = true;
        else {
          do idHad = flavSelPtr->combine( flavEnds[iEnd1], flavEnds[iEnd2]);
          while (idHad == 0);
          idProd.push_back( idHad);
        }
        if ( abs(flavEnds[iEnd3].id) > 8 && abs(flavEnds[iEnd4].id) > 8)
          diquarkClash = true;
        else {
          do idHad = flavSelPtr->combine( flavEnds[iEnd3], flavEnds[iEnd4]);
          while (idHad == 0);
          idProd.push_back( idHad);
        }
      }

      // Find masses of the new hadrons.
      for (int i = nFilled; i < int(idProd.size()) ; ++i) {
        double mHad = particleDataPtr->mSel(idProd[i]);
        mProd.push_back( mHad);
        mDiff -= mHad;
      }
    }

    // Optional: check that this decay mode is not explicitly defined.
    if ( (meMode > 61 && meMode <= 80) && mDiff > mSafety && !diquarkClash ) {
      int idMatch[10], idPNow;
      usedChannel = false;
      bool matched = false;
      // Loop through all channels. Done if not same multiplicity.
      for (int i = 0; i < decDataPtr->sizeChannels(); ++i) {
        DecayChannel& channel = decDataPtr->channel(i);
        if (channel.multiplicity() != nTotal) continue;
        for (int k = 0; k < nTotal; ++k) idMatch[k] = channel.product(k);
        // Match particles one by one until fail.
        // Do not distinguish K0/K0bar/K0short/K0long at this stage.
        for (int j = 0; j < nTotal; ++j) {
          matched = false;
          idPNow = idProd[j + 1];
          if (idPNow == -311 || idPNow == 130 || idPNow == 310) idPNow = 311;
          for (int k = 0; k < nTotal - j; ++k)
          if (idMatch[k] == idPNow || (idMatch[k] == -311 && idPNow == 311)) {
            // Compress list of unmatched when matching worked.
            idMatch[k] = idMatch[nTotal - 1 - j];
            matched = true;
            break;
          }
          if (!matched) break;
        }
        // If matching worked, then chosen channel to be rejected.
        if (matched) {usedChannel = true; break;}
      }
    }

  // Keep on trying until enough phase space and no clash.
  } while (mDiff < mSafety || diquarkClash || usedChannel);

  // Update particle multiplicity.
  mult = idProd.size() - 1;

  // For Dalitz decays shuffle Dalitz pair to the end of the list.
  if (meMode == 11 || meMode == 12) {
    int iL1 = 0;
    int iL2 = 0;
    for (int i = 1; i <= mult; ++i) {
      if (idProd[i] ==  11 || idProd[i] ==  13 || idProd[i] ==  15) iL1 = i;
      if (idProd[i] == -11 || idProd[i] == -13 || idProd[i] == -15) iL2 = i;
    }
    if (iL1 > 0 && iL2 > 0) {
      int idL1 = idProd[iL1];
      int idL2 = idProd[iL2];
      double mL1 = mProd[iL1];
      double mL2 = mProd[iL2];
      int iMove = 0;
      for (int i = 1; i <= mult; ++i) if (i != iL1 && i != iL2) {
        ++iMove;
        idProd[iMove] = idProd[i];
        mProd[iMove] = mProd[i];
      }
      idProd[mult - 1] = idL1;
      idProd[mult] = idL2;
      mProd[mult - 1] = mL1;
      mProd[mult] = mL2;
    }
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Set colour flow and scale in a decay explicitly to partons.

bool ParticleDecays::setColours(Event& event) {

  // Decay to q qbar (or qbar q).
  if (meMode == 91 && idProd[1] > 0 && idProd[1] < 9) {
    int newCol = event.nextColTag();
    cols[1] = newCol;
    acols[2] = newCol;
  } else if (meMode == 91 && idProd[1] < 0 && idProd[1] > -9) {
    int newCol = event.nextColTag();
    cols[2] = newCol;
    acols[1] = newCol;

  // Decay to g g.
  } else if (meMode == 91 && idProd[1] == 21) {
    int newCol1 = event.nextColTag();
    int newCol2 = event.nextColTag();
    cols[1] = newCol1;
    acols[1] = newCol2;
    cols[2] = newCol2;
    acols[2] = newCol1;

  // Decay to g g g.
  } else if (meMode == 92 && idProd[1] == 21 && idProd[2] == 21
    &&  idProd[3] == 21) {
    int newCol1 = event.nextColTag();
    int newCol2 = event.nextColTag();
    int newCol3 = event.nextColTag();
    cols[1] = newCol1;
    acols[1] = newCol2;
    cols[2] = newCol2;
    acols[2] = newCol3;
    cols[3] = newCol3;
    acols[3] = newCol1;

  // Decay to g g gamma: locate which is gamma.
  } else if (meMode == 92) {
    int iGlu1 = (idProd[1] == 21) ? 1 : 3;
    int iGlu2 = (idProd[2] == 21) ? 2 : 3;
    int newCol1 = event.nextColTag();
    int newCol2 = event.nextColTag();
    cols[iGlu1] = newCol1;
    acols[iGlu1] = newCol2;
    cols[iGlu2] = newCol2;
    acols[iGlu2] = newCol1;
   
  // Unknown decay mode means failure.
  } else return false;

  // Set maximum scale to be mass of decaying particle.
  scale = mProd[0];

  // Done.
  return true;
     
}

//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/RHadrons.cc0000644000175000017500000014213112357054763015173 0ustar  sunsun// RHadrons.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the RHadrons class.

#include "Pythia8/RHadrons.h"

namespace Pythia8 {
 
//==========================================================================

// The RHadrons class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

const int RHadrons::IDRHADSB[14] = {  1000512, 1000522, 1000532,
  1000542, 1000552, 1005113, 1005211, 1005213, 1005223, 1005311,
  1005313, 1005321, 1005323, 1005333 };

const int RHadrons::IDRHADST[14] = {  1000612, 1000622, 1000632,
  1000642, 1000652, 1006113, 1006211, 1006213, 1006223, 1006311,
  1006313, 1006321, 1006323, 1006333 };

// Gluino code and list of gluino R-hadron codes.
const int RHadrons::IDRHADGO[38] = {  1000993, 1009113, 1009213,
  1009223, 1009313, 1009323, 1009333, 1009413, 1009423, 1009433,
  1009443, 1009513, 1009523, 1009533, 1009543, 1009553, 1091114,
  1092114, 1092214, 1092224, 1093114, 1093214, 1093224, 1093314,
  1093324, 1093334, 1094114, 1094214, 1094224, 1094314, 1094324,
  1094334, 1095114, 1095214, 1095224, 1095314, 1095324, 1095334 };

// Allow a few tries for flavour selection since failure is allowed.
const int RHadrons::NTRYMAX = 10;

// Safety margin (in GeV) when constructing kinematics of system.
const double RHadrons::MSAFETY = 0.1;

// Maximal energy to borrow for gluon to insert on leg in to junction.
const double RHadrons::EGBORROWMAX = 4.;

//--------------------------------------------------------------------------

// Main routine to initialize R-hadron handling.

bool RHadrons::init( Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn) {

  // Store input pointers for future use.
  infoPtr          = infoPtrIn;
  particleDataPtr  = particleDataPtrIn;
  rndmPtr          = rndmPtrIn;

  // Flags and parameters related to R-hadron formation and decay.
  allowRH          = settings.flag("RHadrons:allow");
  maxWidthRH       = settings.parm("RHadrons:maxWidth");
  idRSb            = settings.mode("RHadrons:idSbottom");
  idRSt            = settings.mode("RHadrons:idStop");
  idRGo            = settings.mode("RHadrons:idGluino");
  setMassesRH      = settings.flag("RHadrons:setMasses");
  probGluinoballRH = settings.parm("RHadrons:probGluinoball");
  mOffsetCloudRH   = settings.parm("RHadrons:mOffsetCloud");
  mCollapseRH      = settings.parm("RHadrons:mCollapse");
  diquarkSpin1RH   = settings.parm("RHadrons:diquarkSpin1");

  // Check whether sbottom, stop or gluino should form R-hadrons.
  allowRSb         = allowRH && idRSb > 0
    && (particleDataPtr->mWidth(idRSb) < maxWidthRH);
  allowRSt         = allowRH && idRSt > 0
    && (particleDataPtr->mWidth(idRSt) < maxWidthRH);
  allowRGo         = allowRH && idRGo > 0
    && (particleDataPtr->mWidth(idRGo) < maxWidthRH);
  allowSomeR       = allowRSb || allowRSt || allowRGo;

  // Set nominal masses of sbottom R-mesons and R-baryons.
  if (allowRSb) {
    m0Sb = particleDataPtr->m0(idRSb);
    if (setMassesRH) {
      for (int i = 0; i < 14; ++i) {
        int idR = IDRHADSB[i];
        double m0RHad = m0Sb + mOffsetCloudRH;
        m0RHad += particleDataPtr->constituentMass( (idR%100)/10);
        if (i > 4)
        m0RHad += particleDataPtr->constituentMass( (idR%1000)/100 );
        particleDataPtr->m0( idR, m0RHad);
      }
    }

    // Set widths and lifetimes of sbottom R-hadrons.
    double mWidthRHad = particleDataPtr->mWidth(idRSb);
    double tau0RHad   = particleDataPtr->tau0(  idRSb);
    for (int i = 0; i < 14; ++i) {
      particleDataPtr->mWidth( IDRHADSB[i], mWidthRHad);
      particleDataPtr->tau0(   IDRHADSB[i],   tau0RHad);
    }
  }

  // Set nominal masses of stop R-mesons and R-baryons.
  if (allowRSt) {
    m0St = particleDataPtr->m0(idRSt);
    if (setMassesRH) {
      for (int i = 0; i < 14; ++i) {
        int idR = IDRHADST[i];
        double m0RHad = m0St + mOffsetCloudRH;
        m0RHad += particleDataPtr->constituentMass( (idR%100)/10);
        if (i > 4)
        m0RHad += particleDataPtr->constituentMass( (idR%1000)/100 );
        particleDataPtr->m0( idR, m0RHad);
      }
    }

    // Set widths and lifetimes of stop R-hadrons.
    double mWidthRHad = particleDataPtr->mWidth(idRSt);
    double tau0RHad   = particleDataPtr->tau0(  idRSt);
    for (int i = 0; i < 14; ++i) {
      particleDataPtr->mWidth( IDRHADST[i], mWidthRHad);
      particleDataPtr->tau0(   IDRHADST[i],   tau0RHad);
    }
  }

  // Set nominal masses of gluino R-glueballs, R-mesons and R-baryons.
  if (allowRGo) {
    m0Go = particleDataPtr->m0(idRGo);
    if (setMassesRH) {
      particleDataPtr->m0( IDRHADGO[0], m0Go + 2. * mOffsetCloudRH
        + particleDataPtr->constituentMass(21) );
      for (int i = 1; i < 38; ++i) {
        int idR = IDRHADGO[i];
        double m0RHad = m0Go + 2. * mOffsetCloudRH;
        m0RHad += particleDataPtr->constituentMass( (idR%1000)/100 );
        m0RHad += particleDataPtr->constituentMass( (idR%100)/10);
        if (i > 15)
        m0RHad += particleDataPtr->constituentMass( (idR%10000)/1000 );
        particleDataPtr->m0( idR, m0RHad);
      }
    }

    // Set widths and lifetimes of gluino R-hadrons.
    double mWidthRHad = particleDataPtr->mWidth(idRGo);
    double tau0RHad   = particleDataPtr->tau0(  idRGo);
    for (int i = 0; i < 38; ++i) {
      particleDataPtr->mWidth( IDRHADGO[i], mWidthRHad);
      particleDataPtr->tau0(   IDRHADGO[i],   tau0RHad);
    }
  }

  // Done.
  return true;

}
//--------------------------------------------------------------------------

// Check if a given particle can produce R-hadrons.

bool RHadrons::givesRHadron( int id) {
  if (allowRSb && abs(id) == idRSb) return true;
  if (allowRSt && abs(id) == idRSt) return true;
  if (allowRGo && id == idRGo) return true;
  return false;

}

//--------------------------------------------------------------------------

// Produce R-hadrons by fragmenting them off from existing strings.

bool RHadrons::produce( ColConfig& colConfig, Event& event) {

  // Check whether some sparticles are allowed to hadronize.
  if (!allowSomeR) return true;

  // Reset arrays and values.
  iBefRHad.resize(0);
  iCreRHad.resize(0);
  iRHadron.resize(0);
  iAftRHad.resize(0);
  isTriplet.resize(0);
  nRHad = 0;

  // Loop over event and identify hadronizing sparticles.
  for (int i = 0; i < event.size(); ++i)
   if (event[i].isFinal() && givesRHadron(event[i].id())) {
    iBefRHad.push_back(i);
    iCreRHad.push_back(i);
    iRHadron.push_back(0);
    iAftRHad.push_back(0);
    isTriplet.push_back(true);
  }
  nRHad = iRHadron.size();
  
  // Done if no hadronizing sparticles.
  if (nRHad == 0) return true;

  // Max two R-hadrons. Randomize order of processing.
  if (nRHad > 2) {
     infoPtr->errorMsg("Error in RHadrons::produce: "
       "cannot handle more than two R-hadrons");
     return false;
  }
  if (nRHad > 1 && rndmPtr->flat() > 0.5) swap( iBefRHad[0], iBefRHad[1]);

  // Split a system with both a sparticle and a junction.
  iBef = iBefRHad[0];
  iSys = colConfig.findSinglet( iBef);
  systemPtr = &colConfig[iSys];
  if (systemPtr->hasJunction && !splitOffJunction( colConfig, event)) {
    infoPtr->errorMsg("Error in RHadrons::produce: "
      "cannot handle system with junction");
    return false;
  }
  if (nRHad == 2) {
    iBef = iBefRHad[1];
    iSys = colConfig.findSinglet( iBefRHad[1]);
    systemPtr = &colConfig[iSys];
    if (systemPtr->hasJunction && !splitOffJunction( colConfig, event)) {
      infoPtr->errorMsg("Error in RHadrons::produce: "
        "cannot handle system with junction");
      return false;
    }
  }

  // Open up a closed gluon/gluino loop.
  iBef = iBefRHad[0];
  iSys = colConfig.findSinglet( iBef);
  systemPtr = &colConfig[iSys];
  if (systemPtr->isClosed && !openClosedLoop( colConfig, event)) {
    infoPtr->errorMsg("Error in RHadrons::produce: "
      "cannot open up closed gluon/gluino loop");
    return false;
  }
  if (nRHad == 2) {
    iBef = iBefRHad[1];
    iSys = colConfig.findSinglet( iBefRHad[1]);
    systemPtr = &colConfig[iSys];
    if (systemPtr->isClosed && !openClosedLoop( colConfig, event)) {
      infoPtr->errorMsg("Error in RHadrons::produce: "
        "cannot open up closed gluon/gluino loop");
      return false;
    }
  }

  // Split up a colour singlet system that should give two R-hadrons.
  if (nRHad == 2) {
    int iSys1 = colConfig.findSinglet( iBefRHad[0]);
    int iSys2 = colConfig.findSinglet( iBefRHad[1]);
    if (iSys2 == iSys1) {
      iSys = iSys1;
      systemPtr = &colConfig[iSys];
      if ( !splitSystem( colConfig, event) ) {
        infoPtr->errorMsg("Error in RHadrons::produce: "
          "failed to handle two sparticles in same system");
        return false;
      }
    }
  }
    
  // Loop over R-hadrons to be formed. Find its colour singlet system.
  for (iRHad = 0; iRHad < nRHad; ++iRHad) {
    iBef = iBefRHad[iRHad];
    iSys = colConfig.findSinglet( iBef);
    if (iSys < 0) {
      infoPtr->errorMsg("Error in RHadrons::produce: "
        "sparticle not in any colour singlet");
      return false;
    }
    systemPtr = &colConfig[iSys];

    // For now don't handle systems involving junctions or loops.
    if (systemPtr->hasJunction) {
      infoPtr->errorMsg("Error in RHadrons::produce: "
        "cannot handle system with junction");
      return false;
    }
    if (systemPtr->isClosed) {
      infoPtr->errorMsg("Error in RHadrons::produce: "
        "cannot handle closed colour loop");
      return false;
    }

    // Handle formation of R-hadron separately for gluino and squark.
    if (event[iBef].id() == idRGo) isTriplet[iRHad] = false;
    bool formed = (isTriplet[iRHad]) ? produceSquark( colConfig, event)
                                     : produceGluino( colConfig, event);
    if (!formed) return false;

  // End of loop over R-hadrons. Done.
  }
  return true;

}

//--------------------------------------------------------------------------

// Decay R-hadrons by resolving them into string systems and letting the
// heavy unstable particle decay as normal.

bool RHadrons::decay( Event& event) {

  // Loop over R-hadrons to decay.
  for (iRHad = 0; iRHad < nRHad; ++iRHad) {
    int    iRNow  = iRHadron[iRHad];
    int    iRBef  = iBefRHad[iRHad];
    int    idRHad = event[iRNow].id();
    double mRHad  = event[iRNow].m();
    double mRBef  = event[iRBef].m();
    int    iR0    = 0;
    int    iR2    = 0;

    // Find flavour content of squark or gluino R-hadron.
    pair idPair = (isTriplet[iRHad])
      ? fromIdWithSquark( idRHad) : fromIdWithGluino( idRHad);
    int id1 = idPair.first;
    int id2 = idPair.second;

    // Sharing of momentum: the squark/gluino should be restored
    // to original mass, but error if negative-mass spectators.
    double fracR = mRBef / mRHad;
    if (fracR >= 1.) {
      infoPtr->errorMsg("Error in RHadrons::decay: "
          "too low R-hadron mass for decay");
      return false;
    }

    // Squark: new colour needed in the breakup.
    if (isTriplet[iRHad]) {
      int colNew = event.nextColTag();
      int col    = (event[iRBef].col() != 0) ? colNew : 0;
      int acol   = (col == 0) ? colNew : 0;
      
      // Store the constituents of a squark R-hadron.
      iR0 = event.append( id1, 106, iRNow, 0, 0, 0, col, acol,
        fracR * event[iRNow].p(), fracR * mRHad, 0.);
      iR2 = event.append( id2, 106, iRNow, 0, 0, 0, acol, col,
        (1. - fracR) * event[iRNow].p(), (1. - fracR) * mRHad, 0.);

    // Gluino: set mass sharing between two spectators.
    } else {
      double m1Eff  = particleDataPtr->constituentMass(id1) + mOffsetCloudRH;
      double m2Eff  = particleDataPtr->constituentMass(id2) + mOffsetCloudRH;
      double frac1 = (1. - fracR) * m1Eff / ( m1Eff + m2Eff);
      double frac2 = (1. - fracR) * m2Eff / ( m1Eff + m2Eff);
   
      // Two new colours needed in the breakups.
      int col1 = event.nextColTag();
      int col2 = event.nextColTag();

      // Store the constituents of a gluino R-hadron.
      iR0 = event.append( idRGo, 106, iRNow, 0, 0, 0, col2, col1,
        fracR * event[iRNow].p(), fracR * mRHad, 0.);
      event.append( id1, 106, iRNow, 0, 0, 0, col1, 0,
        frac1 * event[iRNow].p(), frac1 * mRHad, 0.);
      iR2 = event.append( id2, 106, iRNow, 0, 0, 0, 0, col2,
        frac2 * event[iRNow].p(), frac2 * mRHad, 0.);
    }

    // Mark R-hadron as decayed and update history.
    event[iRNow].statusNeg();
    event[iRNow].daughters( iR0, iR2);
    iAftRHad[iRHad] = iR0;

    // Set secondary vertex for decay products, but no lifetime.
    Vec4 vDec = event[iRNow].vProd() + event[iRNow].tau()
              * event[iR0].p() / event[iR0].m();
    for (int iRd = iR0; iRd <= iR2; ++iRd) event[iRd].vProd( vDec);

  // End loop over R-hadron decays, based on velocity of squark.
  
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Split a system that contains both a sparticle and a junction.

bool RHadrons::splitOffJunction( ColConfig& colConfig, Event& event) {

  // Classify system into three legs, and find sparticle location.
  vector leg1, leg2, leg3;
  int iLegSP = 0;
  int iPosSP = 0;
  int iLeg = 0;
  int iPos = 0;
  for (int i = 0; i < systemPtr->size(); ++i) {
    ++iPos;
    int iP = systemPtr->iParton[i];
    if (iP < 0) {
      ++iLeg;
      iPos = -1;
    } else if (iLeg == 1) leg1.push_back( iP);
    else if   (iLeg == 2) leg2.push_back( iP);
    else if   (iLeg == 3) leg3.push_back( iP);
    if (iP == iBef) {
      iLegSP = iLeg;
      iPosSP = iPos;
    }
  }
  if (iLegSP == 0) return false;
  
  // Swap so leg 1 contains sparticle. If not innermost sparticle then
  // skip for now, and wait for this other (gluino!) to be split off.
  if      (iLegSP == 2) swap(leg2, leg1);
  else if (iLegSP == 3) swap(leg3, leg1);
  for (int i = 0; i < iPosSP; ++i)
    if (event[leg1[i]].id() != 21) return true;
 
  // No gluon between sparticle and junction: find kinetic energy of system.
  if (iPosSP == 0) {
    Vec4 pSP  = event[iBef].p();
    Vec4 pRec = 0.;
    for (int i = 0; i < int(leg2.size()); ++i) pRec += event[leg2[i]].p();
    for (int i = 0; i < int(leg3.size()); ++i) pRec += event[leg3[i]].p();
    double mSys  = (pSP + pRec).mCalc();
    double mSP   = pSP.mCalc();
    double mRec  = pRec.mCalc();
    double eKin  = mSys - mSP - mRec;

    // Insert new gluon that borrows part of kinetic energy.
    double mNewG  = EGBORROWMAX * eKin / (EGBORROWMAX + eKin) ;
    Vec4   pNewG  = (mNewG / mSys) * (pSP + pRec);
    int    newCol = event.nextColTag();
    bool   isCol  = (event[leg1.back()].col() > 0);
    int    colNG  = (isCol)? newCol :  event[iBef].acol();
    int    acolNG = (isCol) ? event[iBef].col() : newCol;
    int    iNewG  = event.append( 21, 101, iBef, 0, 0, 0, colNG, acolNG,
      pNewG, mNewG, 0.);
    leg1.insert( leg1.begin(), iNewG);
    ++iPosSP;

    // Boosts for remainder systems that gave up energy.
    double mNewSys = mSys - mNewG;
    double pAbsOld = 0.5 * sqrtpos( pow2(mSys*mSys - mSP*mSP - mRec*mRec)
                   - pow2(2. * mSP * mRec) ) / mSys;
    double pAbsNew = 0.5 * sqrtpos( pow2(mNewSys*mNewSys - mSP*mSP - mRec*mRec)
                   - pow2(2. * mSP * mRec) ) / mNewSys;
    RotBstMatrix MtoCM, MfromCM, MSP, MRec;
    MtoCM.toCMframe( pSP, pRec);
    MfromCM = MtoCM;
    MfromCM.invert();
    MSP = MtoCM;
    MSP.bst( 0., 0., -pAbsOld / sqrt(mSP * mSP + pAbsOld * pAbsOld));
    MSP.bst( 0., 0.,  pAbsNew / sqrt(mSP * mSP + pAbsNew * pAbsNew));
    MSP.rotbst( MfromCM);
    MRec = MtoCM;
    MRec.bst( 0., 0.,  pAbsOld / sqrt(mRec * mRec + pAbsOld * pAbsOld));
    MRec.bst( 0., 0., -pAbsNew / sqrt(mRec * mRec + pAbsNew * pAbsNew));
    MRec.rotbst( MfromCM);

    // Copy down recoling partons and boost their momenta.
    int iNewSP  = event.copy( iBef, 101);
    event[iNewSP].mother2(0);
    event[iBef].daughter1(iNewG);
    event[iNewSP].rotbst( MSP);
    leg1[iPosSP]   = iNewSP;
    if (iBefRHad[0] == iBef) iBefRHad[0] = iNewSP;
    else if (nRHad > 1 && iBefRHad[1] == iBef) iBefRHad[1] = iNewSP;
    iBef = iNewSP;
    for (int i = 0; i < int(leg2.size()); ++i) {
      int iCopy = event.copy( leg2[i], 101);
      event[iCopy].rotbst( MRec);
      if (iBefRHad[0] == leg2[i]) iBefRHad[0] = iCopy;
      else if (nRHad > 1 && iBefRHad[1] == leg2[i]) iBefRHad[1] = iCopy;
      leg2[i] = iCopy;
    }
    for (int i = 0; i < int(leg3.size()); ++i) {
      int iCopy = event.copy( leg3[i], 101);
      event[iCopy].rotbst( MRec);
      if (iBefRHad[0] == leg3[i]) iBefRHad[0] = iCopy;
      else if (nRHad > 1 && iBefRHad[1] == leg3[i]) iBefRHad[1] = iCopy;
      leg3[i]   = iCopy;
    }
 
  // Now always at least one gluon between sparticle and junction.
  }

  // Find gluon with largest energy in sparticle rest frame.
  int    iGspl = 0;
  double eGspl = event[leg1[0]].p() * event[iBef].p();
  for (int i = 1; i < iPosSP; ++i) {
    double eGnow = event[leg1[i]].p() * event[iBef].p();
    if (eGnow > eGspl) {
      iGspl = i;
      eGspl = eGnow;
    }
  }
  int iG = leg1[iGspl];
   
  // Split this gluon into a collinear quark.antiquark pair.
  int idNewQ = flavSelPtr->pickLightQ();
  int iNewQ  = event.append(  idNewQ, 101, iG, 0, 0, 0, event[iG].col(), 0,
    0.5 * event[iG].p(), 0.5 * event[iG].m(), 0.);
  int iNewQb = event.append( -idNewQ, 101, iG, 0, 0, 0, 0, event[iG].acol(),
    0.5 * event[iG].p(), 0.5 * event[iG].m(), 0.);
  event[iG].statusNeg();
  event[iG].daughters( iNewQ, iNewQb);
  if (event[leg1.back()].col() == 0) swap( iNewQ, iNewQb);

  // Collect two new systems after split.
  vector iNewSys1, iNewSys2;
  iNewSys1.push_back( iNewQb);
  for (int i = iGspl + 1; i < int(leg1.size()); ++i)
    iNewSys1.push_back( leg1[i]);
  iNewSys2.push_back( -10);
  for (int i = 0; i < iGspl; ++i) iNewSys2.push_back( leg1[i]);
  iNewSys2.push_back( iNewQ);
  iNewSys2.push_back( -11);
  for (int i = 0; i < int(leg2.size()); ++i) iNewSys2.push_back( leg2[i]);
  iNewSys2.push_back( -12);
  for (int i = 0; i < int(leg3.size()); ++i) iNewSys2.push_back( leg3[i]);

  // Remove old system and insert two new ones.
  colConfig.erase(iSys);
  colConfig.insert( iNewSys1, event);
  colConfig.insert( iNewSys2, event);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Open up a closed gluon/gluino loop.
  
bool RHadrons::openClosedLoop( ColConfig& colConfig, Event& event) {

  // Find gluon with largest energy in gluino rest frame.
  int    iGspl = -1;
  double eGspl = 0.;
  for (int i = 0; i < systemPtr->size(); ++i) {
    int  iGNow = systemPtr->iParton[i];
    if (event[iGNow].id() == 21) {
      double eGnow = event[iGNow].p() * event[iBef].p();
      if (eGnow > eGspl) {
        iGspl = i;
        eGspl = eGnow;
      }
    }
  }
  if (iGspl == -1) return false;
   
  // Split this gluon into a collinear quark.antiquark pair.
  int iG     = systemPtr->iParton[iGspl];
  int idNewQ = flavSelPtr->pickLightQ();
  int iNewQ  = event.append(  idNewQ, 101, iG, 0, 0, 0, event[iG].col(), 0,
    0.5 * event[iG].p(), 0.5 * event[iG].m(), 0.);
  int iNewQb = event.append( -idNewQ, 101, iG, 0, 0, 0, 0, event[iG].acol(),
    0.5 * event[iG].p(), 0.5 * event[iG].m(), 0.);
  event[iG].statusNeg();
  event[iG].daughters( iNewQ, iNewQb);
   
  // Order partons in new system. Note order of colour flow.
  int iNext = iGspl + 1;
  if (iNext == systemPtr->size()) iNext = 0;
  if (event[ systemPtr->iParton[iNext]].acol() != event[iNewQ].col())
    swap( iNewQ, iNewQb);
  vector iNewSys;
  iNewSys.push_back( iNewQ);
  for (int i = iGspl + 1; i < systemPtr->size(); ++i)
    iNewSys.push_back( systemPtr->iParton[i]);
  for (int i = 0; i < iGspl; ++i)
    iNewSys.push_back( systemPtr->iParton[i]);
  iNewSys.push_back( iNewQb);

  // Erase the old system and insert the new one instead.
  colConfig.erase(iSys);
  colConfig.insert( iNewSys, event);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Split a single colour singlet that contains two sparticles.
// To fix : if nLeg >= 3 && mMin large handle as in nLeg == 1??

bool RHadrons::splitSystem( ColConfig& colConfig, Event& event) {

  // First and second R-hadron mother. Number of legs in between.
  int iFirst  = -1;
  int iSecond = -1;
  for (int i = 0; i < int(systemPtr->size()); ++i) {
    int  iTmp   = systemPtr->iParton[i];
    if ( givesRHadron( event[iTmp].id()) ) {
      if (iFirst == -1) iFirst  = i;
      else              iSecond = i;
    }
  }
  int nLeg = iSecond - iFirst;

  // New flavour pair for breaking the string, and its mass.
  int    idNewQ = flavSelPtr->pickLightQ();
  double mNewQ  = particleDataPtr->constituentMass( idNewQ);
  vector iNewSys1, iNewSys2;

  // If sparticles are neighbours then need new q-qbar pair in between.
  if (nLeg == 1) {

    // The location of the two sparticles.
    int i1Old = systemPtr->iParton[iFirst];
    int i2Old = systemPtr->iParton[iSecond];

    // Take a fraction of momentum to give breakup quark pair.
    double mHat = (event[i1Old].p() + event[i2Old].p()).mCalc();
    double mMax = mHat - event[i1Old].m() - event[i2Old].m();
    if (mMax < 2. * (mNewQ + MSAFETY)) return false;
    double mEff = min( 2. * (mNewQ + mOffsetCloudRH), mMax - 2. * MSAFETY);
    double frac = mEff / mHat;
    Vec4   pEff = frac * (event[i1Old].p() + event[i2Old].p());
  
    // New kinematics by (1) go to same mHat with bigger masses, and
    // (2) rescale back down to original masses and reduced mHat.
    Vec4 p1New, p2New;
    if ( !newKin( event[i1Old].p(), event[i2Old].p(),
      event[i1Old].m() / (1. - frac), event[i2Old].m() / (1. - frac),
      p1New, p2New) ) return false;
    p1New *= 1. - frac;
    p2New *= 1. - frac;

    // Fill in new partons after branching, with correct colour/flavour sign.
    int i1New, i2New, i3New, i4New;
    int newCol = event.nextColTag();
    i1New = event.copy( i1Old, 101);
    if (event[i2Old].acol() == event[i1Old].col()) {
      i3New = event.append( -idNewQ, 101, i1Old, 0, 0, 0,
        0, event[i2Old].acol(), 0.5 * pEff, 0.5 * mEff, 0.);
      i2New = event.copy( i2Old, 101);
      event[i2New].acol( newCol);
      i4New = event.append(  idNewQ, 101, i2Old, 0, 0, 0,
        newCol, 0, 0.5 * pEff, 0.5 * mEff, 0.);
    } else {
      i3New = event.append(  idNewQ, 101, i1Old, 0, 0, 0,
        event[i2Old].col(), 0, 0.5 * pEff, 0.5 * mEff, 0.);
      i2New = event.copy( i2Old, 101);
      event[i2New].col( newCol);
      i4New = event.append( -idNewQ, 101, i2Old, 0, 0, 0,
        0, newCol, 0.5 * pEff, 0.5 * mEff, 0.);
    }

    // Modify momenta and history. For iBotCopyId tracing asymmetric
    // bookkeeping where one sparticle is radiator and the other recoiler.
    event[i1New].p( p1New);
    event[i2New].p( p2New);
    event[i1Old].daughters( i1New, i3New);
    event[i1New].mother2( 0);
    event[i2Old].daughters( i2New, i4New);
    event[i2New].mother2( 0);
    iBefRHad[0] = i1New;
    iBefRHad[1] = i2New;
 
    // Partons in the two new systems.
    for (int i = 0; i < iFirst; ++i)
      iNewSys1.push_back( systemPtr->iParton[i]);
    iNewSys1.push_back( i1New);
    iNewSys1.push_back( i3New);
    iNewSys2.push_back( i4New);
    iNewSys2.push_back( i2New);
    for (int i = iSecond + 1; i < int(systemPtr->size()); ++i)
      iNewSys2.push_back( systemPtr->iParton[i]);

  // If one gluon between sparticles then split it into a
  // collinear q-qbar pair.
  } else if (nLeg == 2) {

    // Gluon to be split and its two daughters.
    int iOld  = systemPtr->iParton[iFirst + 1];
    int i1New = event.append(  idNewQ, 101, iOld, 0, 0, 0,
      event[iOld].col(), 0, 0.5 * event[iOld].p(),
      0.5 * event[iOld].m(), 0.);
    int i2New = event.append( -idNewQ, 101, iOld, 0, 0, 0,
      0, event[iOld].acol(), 0.5 * event[iOld].p(),
      0.5 * event[iOld].m(), 0.);
    event[iOld].statusNeg();
    event[iOld].daughters( i1New, i2New);
     
    // Partons in the two new systems.
    if (event[systemPtr->iParton[iFirst]].col() == event[i2New].acol())
      swap( i1New, i2New);
    for (int i = 0; i <= iFirst; ++i)
      iNewSys1.push_back( systemPtr->iParton[i]);
    iNewSys1.push_back( i1New);
    iNewSys2.push_back( i2New);
    for (int i = iSecond; i < int(systemPtr->size()); ++i)
      iNewSys2.push_back( systemPtr->iParton[i]);

  // If several gluons between sparticles then find lowest-mass gluon pair
  // and replace it by a q-qbar pair.
  } else {

    // Find lowest-mass gluon pair and adjust effective quark mass.
    int    iMin  = 0;
    int    i1Old = 0;
    int    i2Old = 0;
    double mMin  = 1e20;
    for (int i = iFirst + 1; i < iSecond - 1; ++i) {
      int    i1Tmp = systemPtr->iParton[i];
      int    i2Tmp = systemPtr->iParton[i + 1];
      double mTmp  = (event[i1Tmp].p() + event[i2Tmp].p()).mCalc();
      if (mTmp < mMin) {
        iMin  = i;
        i1Old = i1Tmp;
        i2Old = i2Tmp;
        mMin  = mTmp;
      }
    }
    double mEff = min( mNewQ + mOffsetCloudRH, 0.4 * mMin);

    // New kinematics  by sharing mHat appropriately.
    Vec4 p1New, p2New;
    if ( !newKin( event[i1Old].p(), event[i2Old].p(),
      mEff, mEff, p1New, p2New, false) ) return false;

    // Insert new partons and update history.
    int i1New, i2New;
    if (event[systemPtr->iParton[0]].acol() == 0) {
      i1New = event.append( -idNewQ, 101, i1Old, 0, 0, 0,
        0, event[i1Old].acol(), p1New, mEff, 0.);
      i2New = event.append(  idNewQ, 101, i2Old, 0, 0, 0,
        event[i2Old].col(), 0, p2New, mEff, 0.);
    } else {
      i1New = event.append(  idNewQ, 101, i1Old, 0, 0, 0,
        event[i1Old].col(), 0, p1New, mEff, 0.);
      i2New = event.append( -idNewQ, 101, i2Old, 0, 0, 0,
        0, event[i2Old].acol(), p2New, mEff, 0.);
    }
    event[i1Old].statusNeg();
    event[i2Old].statusNeg();
    event[i1Old].daughters( i1New, 0);
    event[i2Old].daughters( i2New, 0);
     
    // Partons in the two new systems.
    for (int i = 0; i < iMin; ++i)
      iNewSys1.push_back( systemPtr->iParton[i]);
    iNewSys1.push_back( i1New);
    iNewSys2.push_back( i2New);
    for (int i = iMin + 2; i < int(systemPtr->size()); ++i)
      iNewSys2.push_back( systemPtr->iParton[i]);
  }

  // Erase the old system and insert the two new ones instead.
  colConfig.erase(iSys);
  colConfig.insert( iNewSys1, event);
  colConfig.insert( iNewSys2, event);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Produce a R-hadron from a squark and another string end.

bool RHadrons::produceSquark( ColConfig& colConfig, Event& event) {

  // Initial values.
  int    nBody  = 0;
  int    iRNow  = 0;
  int    iNewQ  = 0;
  int    iNewL  = 0;

  // Check at which end of the string the squark is located.
  int    idAbsTop = event[ systemPtr->iParton[0] ].idAbs();
  bool   sqAtTop  = (allowRSb && idAbsTop == idRSb)
                 || (allowRSt && idAbsTop == idRSt);

  // Copy down system consecutively from squark end.
  int    iBeg = event.size();
  iCreRHad[iRHad] = iBeg;
  if (sqAtTop) for (int i = 0; i < systemPtr->size(); ++i)
    event.copy( systemPtr->iParton[i], 102);
  else         for (int i = systemPtr->size() - 1; i >= 0; --i)
    event.copy( systemPtr->iParton[i], 102);
  int    iEnd = event.size() - 1;

  // Input flavours. From now on H = heavy and L = light string ends.
  int    idOldH = event[iBeg].id();
  int    idOldL = event[iEnd].id();

  // Pick new flavour to form R-hadron.
  FlavContainer flavOld( idOldH%10);
  int    idNewQ = flavSelPtr->pick(flavOld).id;
  int    idRHad = toIdWithSquark( idOldH, idNewQ);
  if (idRHad == 0) {
     infoPtr->errorMsg("Error in RHadrons::produceSquark: "
       "cannot form R-hadron code");
     return false;
  }

  // Target mass of R-hadron and z value of fragmentation function.
  double mRHad  = particleDataPtr->m0(idRHad) + event[iBeg].m()
                - ( (abs(idOldH) == idRSb) ? m0Sb : m0St );
  double z      = zSelPtr->zFrag( idOldH, idNewQ, mRHad*mRHad);

  // Basic kinematics of string piece where break is to occur.
  Vec4   pOldH  = event[iBeg].p();
  int    iOldL  = iBeg + 1;
  Vec4   pOldL  = event[iOldL].p();
  double mOldL  = event[iOldL].m();
  double mNewH  = mRHad / z;
  double sSys   = (pOldH + pOldL).m2Calc();
  double sRem   = (1. - z) * (sSys - mNewH*mNewH);
  double sMin   = pow2(mOldL + mCollapseRH);

  // If too low remaining mass in system then add one more parton to it.
  while ( ( sRem < sMin || sSys < pow2(mNewH + mOldL + MSAFETY) )
    && iOldL < iEnd ) {
    ++iOldL;
    pOldL      += event[iOldL].p();
    mOldL       = event[iOldL].m();
    sSys        = (pOldH + pOldL).m2Calc();
    sRem        = (1. - z) * (sSys - mNewH*mNewH);
    sMin        = pow2(mOldL + mCollapseRH);
  }

  // If enough mass then split off R-hadron and reduced system.
  if ( sRem > sMin && sSys > pow2(mNewH + mOldL + MSAFETY) ) {
    Vec4 pNewH, pNewL;
    if ( !newKin( pOldH, pOldL, mNewH, mOldL, pNewH, pNewL) ) {
      infoPtr->errorMsg("Error in RHadrons::produceSquark: "
       "failed to construct kinematics with reduced system");
      return false;
    }

    // Insert R-hadron with new momentum.
    iRNow       = event.append( idRHad, 104, iBeg, iOldL, 0, 0, 0, 0,
      z * pNewH, mRHad, 0.);
 
    // Reduced system with new string endpoint and modified recoiler.
    idNewQ      = -idNewQ;
    bool hasCol = (idNewQ > 0 && idNewQ < 10) || idNewQ < -10;
    int  col    = (hasCol) ? event[iOldL].acol() : 0;
    int  acol   = (hasCol) ? 0 : event[iOldL].col();
    iNewQ       = event.append( idNewQ, 105, iBeg, iOldL, 0, 0, col, acol,
      (1. - z) * pNewH, (1. - z) * mNewH, 0.);
    iNewL       = event.copy( iOldL, 105);
    event[iNewL].mothers( iBeg, iOldL);
    event[iNewL].p( pNewL);

    // Done with processing of split to R-hadron and reduced system.
    nBody = 3;
  }

  // Two-body final state: form light hadron from endpoint and new flavour.
  if (nBody == 0) {
    FlavContainer flav1( idOldL);
    FlavContainer flav2( -idNewQ);
    int iTry   = 0;
    int idNewL = flavSelPtr->combine( flav1, flav2);
    while (++iTry < NTRYMAX && idNewL == 0)
      idNewL = flavSelPtr->combine( flav1, flav2);
    if (idNewL == 0) {
       infoPtr->errorMsg("Error in RHadrons::produceSquark: "
         "cannot form light hadron code");
       return false;
    }
    double mNewL = particleDataPtr->mSel( idNewL);
    
    // Check that energy enough for light hadron and R-hadron.
    if ( sSys > pow2(mRHad + mNewL + MSAFETY) ) {
      Vec4 pRHad, pNewL;
      if ( !newKin( pOldH, pOldL, mRHad, mNewL, pRHad, pNewL) ) {
        infoPtr->errorMsg("Error in RHadrons::produceSquark: "
         "failed to construct kinematics for two-hadron decay");
        return false;
      }

      // Insert R-hadron and light hadron.
      iRNow = event.append( idRHad, 104, iBeg, iOldL, 0, 0, 0, 0,
        pRHad, mRHad, 0.);
      event.append( idNewL, 105, iBeg, iOldL, 0, 0, 0, 0,
        pNewL, mNewL, 0.);
   
      // Done for two-body case.
      nBody = 2;
    }
  }

  // Final case: for very low mass collapse to one single R-hadron.
  if (nBody == 0) {
    idRHad = toIdWithSquark( idOldH, idOldL);
    if (idRHad == 0) {
       infoPtr->errorMsg("Error in RHadrons::produceSquark: "
         "cannot form R-hadron code");
       return false;
    }

    // Insert R-hadron with new momentum.
    iRNow = event.append( idRHad, 104, iBeg, iOldL, 0, 0, 0, 0,
      systemPtr->pSum, systemPtr->mass, 0.);

    // Done with one-body case.
    nBody = 1;
  }
      
  // History bookkeeping: the R-hadron and processed partons.
  iRHadron[iRHad] = iRNow;
  int iLast = event.size() - 1;
  for (int i = iBeg; i <= iOldL; ++i) {
    event[i].statusNeg();
    event[i].daughters( iRNow, iLast);
  }

  // Remove old string system and, if needed, insert a new one.
  colConfig.erase(iSys);
  if (nBody == 3) {
    vector iNewSys;
    iNewSys.push_back( iNewQ);
    iNewSys.push_back( iNewL);
    for ( int i = iOldL + 1; i <= iEnd; ++i) iNewSys.push_back( i);
    colConfig.insert( iNewSys, event);
  }

  // Copy lifetime and vertex from sparticle to R-hadron.
  event[iRNow].tau( event[iBef].tau() );
  if (event[iBef].hasVertex()) event[iRNow].vProd( event[iBef].vProd() );
 
  // Done with production of a R-hadron from a squark.
  return true;

}

//--------------------------------------------------------------------------

// Produce a R-hadron from a gluino and two string ends (or a gluon).

bool RHadrons::produceGluino( ColConfig& colConfig, Event& event) {

  // Initial values.
  int    iGlui   = 0;
  int    idSave  = 0;
  int    idQLeap = 0;
  bool   isDiq1  = false;
  vector iSide1, iSide2, iSideTmp, iNewSys1, iNewSys2;
  Vec4   pGlui, pSide1, pSide2;

  // Decide whether to produce a gluinoball or not.
  bool isGBall = (rndmPtr->flat() < probGluinoballRH);
         
  // Extract one string system on either side of the gluino.
  for (int i = 0; i < systemPtr->size(); ++i) {
    int  iTmp   = systemPtr->iParton[i];
    if (iGlui == 0 && event[ iTmp ].id() == idRGo) {
      iGlui     = iTmp;
      pGlui     = event[ iTmp ].p();
    } else if (iGlui == 0) {
      iSideTmp.push_back( iTmp);
      pSide1   += event[ iTmp ].p();
    } else {
      iSide2.push_back( iTmp);
      pSide2   += event[ iTmp ].p();
    }
  }
      
  // Order sides from gluino outwards and with lowest relative mass first.
  for (int i = int(iSideTmp.size()) - 1; i >= 0; --i)
    iSide1.push_back( iSideTmp[i]);
  double m1H    = (pGlui + pSide1).mCalc() - event[ iSide1.back() ].m();
  double m2H    = (pGlui + pSide2).mCalc() - event[ iSide2.back() ].m();
  if (m2H < m1H) {
    swap( iSide1, iSide2);
    swap( pSide1, pSide2);
  }

  // Begin loop over two sides of gluino, with lowest relative mass first.
  for (int iSide = 1; iSide < 3; ++iSide) {

    // Begin processing of lower-mass string side.
    int    idRHad = 0;
    double mRHad  = 0.;
    int    nBody  = 0;
    int    iRNow  = 0;
    int    iNewQ  = 0;
    int    iNewL  = 0;
    int    statusRHad = 0;

    // Copy down system consecutively from gluino end.
    int    iBeg   = event.size();
    if (iSide == 1) {
      iCreRHad[iRHad] = iBeg;
      event.copy( iGlui, 102);
      for (int i = 0; i < int(iSide1.size()); ++i)
        event.copy( iSide1[i], 102);
    } else {
      event.copy( iGlui, 102);
      for (int i = 0; i < int(iSide2.size()); ++i)
        event.copy( iSide2[i], 102);
    }
    int    iEnd   = event.size() - 1;

    // Pick new flavour to help form R-hadron. Initial colour values.
    int    idOldL = event[iEnd].id();
    int    idNewQ = 21;
    if (!isGBall) {
      do {
        FlavContainer flavOld( idOldL);
        idNewQ = -flavSelPtr->pick(flavOld).id;
      } while (iSide == 2 && isDiq1 && abs(idNewQ) > 10);
      if (iSide == 1) isDiq1 = (abs(idNewQ) > 10);
    }
    bool   hasCol = (event[iEnd].col() > 0);
    int    colR   = 0;
    int    acolR  = 0;

    // Target intermediary mass or R-hadron mass.
    if (iSide == 1) {
      idSave      = idNewQ;
      idRHad      = (hasCol) ? 1009002 : -1009002;
      if (hasCol) colR  = event[iBeg].col();
      else        acolR = event[iBeg].acol();
      statusRHad  = 103;
      double mNewQ = particleDataPtr->constituentMass( idNewQ);
      if (isGBall) mNewQ *= 0.5;
      mRHad       = event[iBeg].m() + mOffsetCloudRH + mNewQ;
    } else {
      idRHad      = toIdWithGluino( idSave, idNewQ);
      if (idRHad == 0) {
         infoPtr->errorMsg("Error in RHadrons::produceGluino: "
           "cannot form R-hadron code");
         return false;
      }
      statusRHad  = 104;
      mRHad       = particleDataPtr->m0(idRHad) + event[iBeg].m() - m0Go;
    }
      
    // z value of fragmentation function.
    double z      = zSelPtr->zFrag( idRGo, idNewQ, mRHad*mRHad);

    // Basic kinematics of string piece where break is to occur.
    Vec4   pOldH  = event[iBeg].p();
    int    iOldL  = iBeg + 1;
    Vec4   pOldL  = event[iOldL].p();
    double mOldL  = event[iOldL].m();
    double mNewH  = mRHad / z;
    double sSys   = (pOldH + pOldL).m2Calc();
    double sRem   = (1. - z) * (sSys - mNewH*mNewH);
    double sMin   = pow2(mOldL + mCollapseRH);

    // If too low remaining mass in system then add one more parton to it.
    while ( ( sRem < sMin || sSys < pow2(mNewH + mOldL + MSAFETY) )
      && iOldL < iEnd ) {
      ++iOldL;
      pOldL      += event[iOldL].p();
      mOldL       = event[iOldL].m();
      sSys        = (pOldH + pOldL).m2Calc();
      sRem        = (1. - z) * (sSys - mNewH*mNewH);
      sMin        = pow2(mOldL + mCollapseRH);
    }

    // If enough mass then split off R-hadron and reduced system.
    if ( sRem > sMin && sSys > pow2(mNewH + mOldL + MSAFETY) ) {
      Vec4 pNewH, pNewL;
      if ( !newKin( pOldH, pOldL, mNewH, mOldL, pNewH, pNewL) ) {
        infoPtr->errorMsg("Error in RHadrons::produceGluino: "
         "failed to construct kinematics with reduced system");
        return false;
      }

      // Insert intermediary or R-hadron with new momentum, less colour.
      iRNow       = event.append( idRHad, statusRHad, iBeg, iOldL,
        0, 0, colR, acolR, z * pNewH, mRHad, 0.);
 
      // Reduced system with new string endpoint and modified recoiler.
      if (!isGBall) idNewQ = -idNewQ;
      int  colN   = (hasCol) ? 0 : event[iOldL].acol();
      int  acolN  = (hasCol) ? event[iOldL].col() : 0;
      iNewQ       = event.append( idNewQ, 105, iBeg, iOldL, 0, 0,
        colN, acolN, (1. - z) * pNewH, (1. - z) * mNewH, 0.);
      iNewL       = event.copy( iOldL, 105);
      event[iNewL].mothers( iBeg, iOldL);
      event[iNewL].p( pNewL);

      // Collect partons of new string system.
      if (iSide == 1) {
        iNewSys1.push_back( iNewQ);
        iNewSys1.push_back( iNewL);
        for ( int i = iOldL + 1; i <= iEnd; ++i) iNewSys1.push_back( i);
      } else {
        iNewSys2.push_back( iNewQ);
        iNewSys2.push_back( iNewL);
        for ( int i = iOldL + 1; i <= iEnd; ++i) iNewSys2.push_back( i);
      }

      // Done with processing of split to R-hadron and reduced system.
      nBody = 3;
    }

    // For side-1 low-mass glueball system reabsorb full momentum.
    if (nBody == 0 && isGBall && iSide == 1) {
      idQLeap    = event[iOldL].id();
      Vec4 pNewH = event[iBeg].p() + pOldL;

      // Insert intermediary R-hadron with new momentum, less colour.
      iRNow      = event.append( idRHad, statusRHad, iBeg, iEnd,
        0, 0, colR, acolR, pNewH, pNewH.mCalc(), 0.);
      nBody = 1;
    }
      
    // Two-body final state: form light hadron from endpoint and new flavour.
    // Also for side 2 if gluinoball formation gives quark from side 1.
    if (nBody == 0 && (!isGBall || (iSide == 2 && idQLeap != 0) )) {
      if (isGBall) idNewQ = -idQLeap;
      FlavContainer flav1( idOldL);
      FlavContainer flav2( -idNewQ);
      int iTry   = 0;
      int idNewL = flavSelPtr->combine( flav1, flav2);
      while (++iTry < NTRYMAX && idNewL == 0)
        idNewL = flavSelPtr->combine( flav1, flav2);
      if (idNewL == 0) {
         infoPtr->errorMsg("Error in RHadrons::produceGluino: "
           "cannot form light hadron code");
         return false;
      }
      double mNewL = particleDataPtr->mSel( idNewL);
    
      // Check that energy enough for light hadron and R-hadron.
      if ( sSys > pow2(mRHad + mNewL + MSAFETY) ) {
        Vec4 pRHad, pNewL;
        if ( !newKin( pOldH, pOldL, mRHad, mNewL, pRHad, pNewL) ) {
          infoPtr->errorMsg("Error in RHadrons::produceGluino: "
           "failed to construct kinematics for two-hadron decay");
          return false;
        }

        // Insert intermediary or R-hadron and light hadron.
        iRNow = event.append( idRHad, statusRHad, iBeg, iOldL, 0, 0,
          colR, acolR, pRHad, mRHad, 0.);
        event.append( idNewL, 105, iBeg, iOldL, 0, 0, 0, 0,
          pNewL, mNewL, 0.);
   
        // Done for two-body case.
        nBody   = 2;
        // For this case gluinoball should be handled as normal flavour.
        isGBall = false;
      }
    }

    // Final case: for very low mass collapse to one single R-hadron.
    if (nBody == 0 && (!isGBall || (iSide == 2 && idQLeap != 0) )) {
      if (isGBall) idSave = idQLeap;
      if (iSide == 1) idSave = idOldL;
      else            idRHad = toIdWithGluino( idSave, idOldL);
      if (idRHad == 0) {
         infoPtr->errorMsg("Error in RHadrons::produceGluino: "
           "cannot form R-hadron code");
         return false;
      }

      // Insert R-hadron with new momentum.
      iRNow = event.append( idRHad, statusRHad, iBeg, iOldL, 0, 0,
        colR, acolR, pOldH + pOldL, (pOldH + pOldL).mCalc(), 0.);

      // Done with one-body case.
      // Even if hoped-for, it was not possible to create a gluinoball.
      isGBall = false;
    }
      
    // History bookkeeping: the processed partons.
    int iLast = event.size() - 1;
    for (int i = iBeg; i <= iOldL; ++i) {
      event[i].statusNeg();
      event[i].daughters( iRNow, iLast);
    }

    // End of loop over two sides of the gluino.
    iGlui   = iRNow;
  }

  // History bookkeeping: insert R-hadron; delete old string system.
  if (iGlui == 0) {
     infoPtr->errorMsg("Error in RHadrons::produceGluino: "
           "could not handle gluinoball kinematics");
     return false;
  }
  iRHadron[iRHad] = iGlui;
  colConfig.erase(iSys);

  // Non-gluinoball: insert (up to) two new string systems.
  if (!isGBall) {
    if (iNewSys1.size() > 0) colConfig.insert( iNewSys1, event);
    if (iNewSys2.size() > 0) colConfig.insert( iNewSys2, event);

  // Gluinoball with enough energy in first string:
  // join two temporary gluons into one.
  } else if (idQLeap == 0) {
    int iG1   = iNewSys1[0];
    int iG2   = iNewSys2[0];
    int colG  = event[iG1].col()  + event[iG2].col();
    int acolG = event[iG1].acol() + event[iG2].acol();
    Vec4 pG   = event[iG1].p()    + event[iG2].p();
    int iG12  = event.append( 21, 107, iG1, iG2, 0, 0, colG, acolG,
      pG, pG.mCalc(), 0.);

    // Temporary gluons no longer needed, but new colour to avoid warnings.
    event[iG1].id( 21);
    event[iG2].id( 21);
    event[iG1].statusNeg();
    event[iG2].statusNeg();
    event[iG1].daughter1( iG12);
    event[iG2].daughter1( iG12);
    int colBridge = event.nextColTag();
    if (event[iG1].col() == 0) {
      event[iG1].col(  colBridge);
      event[iG2].acol( colBridge);
    } else {
      event[iG1].acol( colBridge);
      event[iG2].col(  colBridge);
    }

    // Form the remnant system from which the R-hadron has been split off.
    vector iNewSys12;
    for (int i = int(iNewSys1.size()) - 1; i > 0; --i)
      iNewSys12.push_back( iNewSys1[i]);
    iNewSys12.push_back( iG12);
    for (int i = 1; i < int(iNewSys2.size()); ++i)
      iNewSys12.push_back( iNewSys2[i]);
    colConfig.insert( iNewSys12, event);

  // Gluinoball where side 1 was fully eaten, and its flavour content
  // should leap over to the other side, to a gluon there.
  } else {
    int iG2   = iNewSys2[0];
    event[iG2].id( idQLeap);
    colConfig.insert( iNewSys2, event);
  }

  // Copy lifetime and vertex from sparticle to R-hadron.
  event[iGlui].tau( event[iBef].tau() );
  if (event[iBef].hasVertex()) event[iGlui].vProd( event[iBef].vProd() );
 
  // Done with production of a R-hadron from a gluino.
  return true;

}

//--------------------------------------------------------------------------

// Form a R-hadron code from a squark and a (di)quark code.
// First argument is the (anti)squark, second the (anti)(di)quark.

int RHadrons::toIdWithSquark( int id1, int id2) {

  // Check that physical combination; return 0 if not.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if (id2Abs < 10 && id1 > 0 && id2 > 0) return 0;
  if (id2Abs < 10 && id1 < 0 && id2 < 0) return 0;
  if (id2Abs > 10 && id1 > 0 && id2 < 0) return 0;
  if (id2Abs > 10 && id1 < 0 && id2 > 0) return 0;

  // Form R-hadron code. Flip sign for antisquark.
  bool isSt = (id1Abs == idRSt);
  int idRHad = 1000000;
  if (id2Abs < 10) idRHad += ((isSt) ? 600 : 500) + 10 * id2Abs + 2;
  else idRHad += ((isSt) ? 6000 : 5000) + 10 * (id2Abs/100) + id2Abs%10;
  if (id1 < 0) idRHad = -idRHad;

  // Done.
  return idRHad;

}

//--------------------------------------------------------------------------

// Resolve a R-hadron code into a squark and a (di)quark.
// Return a pair, where first is the squark and the second the (di)quark.

pair RHadrons::fromIdWithSquark( int idRHad) {

  // Find squark flavour content.
  int idLight = (abs(idRHad) - 1000000) / 10;
  int idSq    = (idLight < 100) ? idLight/10 : idLight/100;
  int id1     = (idSq == 6) ? idRSt : idRSb;
  if (idRHad < 0) id1 = -id1;

  // Find light (di)quark flavour content.
  int id2     =  (idLight < 100) ? idLight%10 : idLight%100;
  if (id2 > 10) id2 = 100 * id2 + abs(idRHad)%10;
  if ((id2 < 10 && idRHad > 0) || (id2 > 10 && idRHad < 0)) id2 = -id2;

  // Done.
  return make_pair( id1, id2);

}
 
//--------------------------------------------------------------------------

// Form a R-hadron code from two quark/diquark endpoints and a gluino.

int RHadrons::toIdWithGluino( int id1, int id2) {

  // Check that physical combination; return 0 if not. Handle gluinoball.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if (id1Abs == 21 && id2Abs == 21) return 1000993;
  int idMax  = max( id1Abs, id2Abs);
  int idMin  = min( id1Abs, id2Abs);
  if (idMin > 10) return 0;
  if (idMax > 10 && id1 > 0 && id2 < 0) return 0;
  if (idMax > 10 && id1 < 0 && id2 > 0) return 0;
  if (idMax < 10 && id1 > 0 && id2 > 0) return 0;
  if (idMax < 10 && id1 < 0 && id2 < 0) return 0;

  // Form R-meson code. Flip sign for antiparticle.
  int idRHad = 0;
  if (idMax < 10) {
    idRHad = 1009003 + 100 * idMax + 10 * idMin;
    if (idMin != idMax && idMax%2 == 1) {
      if (id1Abs == idMax && id1 > 0) idRHad = -idRHad;
      if (id2Abs == idMax && id2 > 0) idRHad = -idRHad;
    }
    if (idMin != idMax && idMax%2 == 0) {
      if (id1Abs == idMax && id1 < 0) idRHad = -idRHad;
      if (id2Abs == idMax && id2 < 0) idRHad = -idRHad;
    }

  // Form R-baryon code. Flip sign for antiparticle.
  } else {
    int idA = idMax/1000;
    int idB = (idMax/100)%10;
    int idC = idMin;
    if (idC > idB) swap( idB, idC);
    if (idB > idA) swap( idA, idB);
    if (idC > idB) swap( idB, idC);
    idRHad  = 1090004 + 1000 * idA + 100 * idB + 10 * idC;
    if (id1 < 0) idRHad = -idRHad;
  }

  // Done.
  return idRHad;

}

//--------------------------------------------------------------------------

// Resolve a R-hadron code into two quark/diquark endpoints (and a gluino).
// Return a pair, where first carries colour and second anticolour.

pair RHadrons::fromIdWithGluino( int idRHad) {

  // Find light flavour content of R-hadron.
  int idLight = (abs(idRHad) - 1000000) / 10;
  int id1, id2, idTmp, idA, idB, idC;

  // Gluinoballs: split g into d dbar or u ubar.
  if (idLight < 100) {
    id1 = (rndmPtr->flat() < 0.5) ? 1 : 2;
    id2 = -id1;

  // Gluino-meson: split into q + qbar.
  } else if (idLight < 1000) {
    id1 = (idLight / 10) % 10;
    id2 = -(idLight % 10);
    // Flip signs when first quark of down-type.
    if (id1%2 == 1) {
      idTmp = id1;
      id1   = -id2;
      id2   = -idTmp;
    }

  // Gluino-baryon: split to q + qq (diquark).
  // Pick diquark at random, except if c or b involved.
  } else {
    idA = (idLight / 100) % 10;
    idB = (idLight / 10) % 10;
    idC = idLight % 10;
    double rndmQ = 3. * rndmPtr->flat();
    if (idA > 3) rndmQ = 0.5;
    if (rndmQ < 1.) {
      id1 = idA;
      id2 = 1000 * idB + 100 * idC + 3;
      if (idB != idC && rndmPtr->flat() > diquarkSpin1RH) id2 -= 2;
    } else if (rndmQ < 2.) {
      id1 = idB;
      id2 = 1000 * idA + 100 * idC + 3;
      if (idA != idC && rndmPtr->flat() > diquarkSpin1RH) id2 -= 2;
    } else {
      id1 = idC;
      id2 = 1000 * idA + 100 * idB +3;
      if (idA != idB && rndmPtr->flat() > diquarkSpin1RH) id2 -= 2;
    }
  }

  // Flip signs for anti-R-hadron.
  if (idRHad < 0) {
    idTmp = id1;
    id1   = -id2;
    id2   = -idTmp;
  }

  // Done.
  return make_pair( id1, id2);

}
 
//--------------------------------------------------------------------------

// Construct modified four-vectors to match modified masses:
// minimal reshuffling of momentum along common axis.
// Note that last two arguments are used to provide output!

bool RHadrons::newKin( Vec4 pOld1, Vec4 pOld2, double mNew1, double mNew2,
  Vec4& pNew1, Vec4& pNew2, bool checkMargin) {

  // Squared masses in initial and final kinematics.
  double sSum   = (pOld1 + pOld2).m2Calc();
  double sOld1  = pOld1.m2Calc();
  double sOld2  = pOld2.m2Calc();
  double sNew1  = mNew1 * mNew1;
  double sNew2  = mNew2 * mNew2;

  // Check that kinematically possible.
  if (checkMargin && pow2(mNew1 + mNew2 + MSAFETY) > sSum) return false;

  // Transfer coefficients to give four-vectors with the new masses.
  double lamOld = sqrt( pow2(sSum - sOld1 - sOld2) - 4. * sOld1 * sOld2 );
  double lamNew = sqrt( pow2(sSum - sNew1 - sNew2) - 4. * sNew1 * sNew2 );
  double move1  = (lamNew * (sSum - sOld1 + sOld2)
                -  lamOld * (sSum - sNew1 + sNew2)) / (2. * sSum * lamOld);
  double move2  = (lamNew * (sSum + sOld1 - sOld2)
                -  lamOld * (sSum + sNew1 - sNew2)) / (2. * sSum * lamOld);
  
  // Construct final vectors. Done.
  pNew1 = (1. + move1) * pOld1 - move2 * pOld2;
  pNew2 = (1. + move2) * pOld2 - move1 * pOld1;
  return true;

}
 
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SusyLesHouches.cc0000644000175000017500000021020512357054765016401 0ustar  sunsun// SusyLesHouches.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

#include "Pythia8/SusyLesHouches.h"

// GZIP support.
#ifdef GZIPSUPPORT

// For GCC versions >= 4.6, can switch off shadow warnings.
#if (defined GZIPSUPPORT && ((__GNUC__ * 100) + __GNUC_MINOR__) >= 406)
#pragma GCC diagnostic ignored "-Wshadow"
#endif

// Boost includes.
#include "boost/iostreams/filtering_stream.hpp"
#include "boost/iostreams/filter/gzip.hpp"

// Switch shadow warnings back on.
#if (defined GZIPSUPPORT && ((__GNUC__ * 100) + __GNUC_MINOR__) >= 406)
#pragma GCC diagnostic warning "-Wshadow"
#endif

#endif // GZIPSUPPORT

namespace Pythia8 {

//==========================================================================

// The SusyLesHouches class.

//==========================================================================

// Main routine to read in SLHA and LHEF+SLHA files

int SusyLesHouches::readFile(string slhaFileIn, int verboseIn,
  bool useDecayIn) {

  // Copy inputs to local
  slhaFile    = slhaFileIn;
  verboseSav  = verboseIn;
  useDecay    = useDecayIn;

  // Check that input file is OK.
  int iFailFile=0;
  const char* cstring = slhaFile.c_str();

// Construct istream without gzip support.
#ifndef GZIPSUPPORT
  ifstream file(cstring);

// Construct istream with gzip support.
#else
  boost::iostreams::filtering_istream file;
  ifstream fileBase(cstring);

  // Pass along the 'good()' flag, so code elsewhere works unmodified.
  if (!fileBase.good()) file.setstate(ios_base::badbit);

  // Check filename ending to decide which filters to apply.
  else {
    const char *last = strrchr(cstring, '.');
    if (last && strncmp(last, ".gz", 3) == 0)
      file.push(boost::iostreams::gzip_decompressor());
    file.push(fileBase);
  }
#endif

  // Exit if input file not found. Else print file name.
  if (!file.good()) {
    message(2,"readFile",slhaFile+" not found",0);
    return -1;
    slhaRead=false;
  }
  if (verboseSav >= 3) {
    message(0,"readFile","parsing "+slhaFile,0);
    filePrinted = true;
  }

  // Array of particles read in.
  vector idRead;

  // Array of block names read in.
  vector processedBlocks;
  
  //Initial values for read-in variables.
  slhaRead=true;
  lhefRead=false;
  lhefSlha=false;
  bool foundSlhaTag = false;
  bool xmlComment   = false;
  bool decayPrinted = false;
  string line="";
  string blockIn="";
  string decay="";
  string comment="";
  string blockName="";
  string nameNow="";
  int idNow=0;
  double width=0.0;

  //Initialize line counter
  int iLine=0;

  // Read in one line at a time.
  while ( getline(file, line) ) {
    iLine++;

    //Rewrite string in lowercase
    for (unsigned int i=0;i") != string::npos) {
        xmlComment = false;
      }
      else if (xmlComment) continue;
      else if (line.find(" SLHA2 interoperability
  //Note: the mass basis is NOT mass-ordered in SLHA1, so be careful!
  //Here, the mass basis is hence by PDG code, not by mass-ordered value.

  if (stopmix.exists() && ! usqmix.exists() ) {
    //1000002 = ~uL, 1000004 = ~cL, 2000002 = ~uR, 2000004 = ~cR
    usqmix.set(1,1, 1.0);
    usqmix.set(2,2, 1.0);
    usqmix.set(4,4, 1.0);
    usqmix.set(5,5, 1.0);
    //Fill (1000006,2000006) sector from stopmix
    usqmix.set(3,3, stopmix(1,1));
    usqmix.set(3,6, stopmix(1,2));
    usqmix.set(6,3, stopmix(2,1));
    usqmix.set(6,6, stopmix(2,2));
  };
  if (sbotmix.exists() && ! dsqmix.exists() ) {
    //1000001 = ~dL, 1000003 = ~sL, 2000001 = ~dR, 2000003 = ~sR
    dsqmix.set(1,1, 1.0);
    dsqmix.set(2,2, 1.0);
    dsqmix.set(4,4, 1.0);
    dsqmix.set(5,5, 1.0);
    //Fill (1000005,2000005) sector from sbotmix
    dsqmix.set(3,3, sbotmix(1,1));
    dsqmix.set(3,6, sbotmix(1,2));
    dsqmix.set(6,3, sbotmix(2,1));
    dsqmix.set(6,6, sbotmix(2,2));
  };
  if (staumix.exists() && ! selmix.exists() ) {
    //1000011 = ~eL, 1000013 = ~muL, 2000011 = ~eR, 2000013 = ~muR
    selmix.set(1,1, 1.0);
    selmix.set(2,2, 1.0);
    selmix.set(4,4, 1.0);
    selmix.set(5,5, 1.0);
    //Fill (1000015,2000015) sector from staumix
    selmix.set(3,3, staumix(1,1));
    selmix.set(3,6, staumix(1,2));
    selmix.set(6,3, staumix(2,1));
    selmix.set(6,6, staumix(2,2));
  };
  if (! snumix.exists() && ! snsmix.exists()) {
    //1000012 = ~nu_e, 1000014 = ~nu_mu, 1000016 = ~nu_tau
    snumix.set(1,1, 1.0);
    snumix.set(2,2, 1.0);
    snumix.set(3,3, 1.0);
  };

  // Step 4) Check mass ordering and unitarity/orthogonality of mixing matrices

  // Check expected mass orderings
  if (mass.exists()) {
    // CP-even Higgs
    if (abs(mass(25)) > abs(mass(35))
        || (modsel(3) == 1 && abs(mass(35)) > abs(mass(45))) )
      message(0,"checkSpectrum","Note: Higgs sector is not mass-ordered",0);
    // CP-odd Higgs
    if (modsel(3) == 1 && abs(mass(36)) > abs(mass(46)))
      message(0,"checkSpectrum",
              "Note: CP-odd Higgs sector is not mass-ordered",0);
    // Neutralinos
    if (abs(mass(1000022)) > abs(mass(1000023))
        || abs(mass(1000023)) > abs(mass(1000025))
        || abs(mass(1000025)) > abs(mass(1000035))
        || (modsel(3) == 1 && abs(mass(1000035)) > abs(mass(1000045))) )
      message(0,"checkSpectrum","Note: Neutralino sector is not mass-ordered"
              ,0);
    // Charginos
    if (abs(mass(1000024)) > abs(mass(1000037))) 
      message(0,"checkSpectrum","Note: Chargino sector is not mass-ordered",0);
  }

  //NMIX
  if (nmix.exists()) {
    for (int i=1;i<=4;i++) {
      double cn1=0.0;
      double cn2=0.0;
      for (int j=1;j<=4;j++) {
        cn1 += pow(nmix(i,j),2);
        cn2 += pow(nmix(j,i),2);
      }
      if (abs(1.0-cn1) > 1e-3 || abs(1.0-cn2) > 1e-3) {
        ifail=2;
        message(2,"checkSpectrum","NMIX is not unitary (wrong format?)",0);
        break;
      }
    }
  }

  //VMIX, UMIX
  if (vmix.exists() && umix.exists()) {
    // First check for non-standard "madgraph" convention
    // (2,2) entry not given explicitly
    for (int i=1;i<=2;i++) {
      double cu1=0.0;
      double cu2=0.0;
      double cv1=0.0;
      double cv2=0.0;
      for (int j=1;j<=2;j++) {
        cu1 += pow(umix(i,j),2);
        cu2 += pow(umix(j,i),2);
        cv1 += pow(vmix(i,j),2);
        cv2 += pow(vmix(j,i),2);
      }
      if (abs(1.0-cu1) > 1e-3 || abs(1.0-cu2) > 1e-3) {
        cu1 += pow(umix(1,1),2);
        cu2 += pow(umix(1,1),2);
        if (abs(1.0-cu1) > 1e-3 || abs(1.0-cu2) > 1e-3) {
          ifail=max(1,ifail);
          message(2,"checkSpectrum","UMIX is not unitary (wrong format?)",0);
          break;
        } else {
          // Fix madgraph non-standard convention problem
          message(1,"checkSpectrum","UMIX is not unitary (repaired)",0);
          umix.set(2,2,umix(1,1));
        }
      }
      if (abs(1.0-cv1) > 1e-3 || abs(1.0-cv2) > 1e-3) {
        cv1 += pow(vmix(1,1),2);
        cv2 += pow(vmix(1,1),2);
        if (abs(1.0-cv1) > 1e-3 || abs(1.0-cv2) > 1e-3) {
          ifail=max(1,ifail);
          message(2,"checkSpectrum","VMIX is not unitary (wrong format?)",0);
          break;
        } else {
          // Fix madgraph non-standard convention problem
          message(1,"checkSpectrum","VMIX is not unitary (repaired)",0);
          vmix.set(2,2,vmix(1,1));
        }
      }
    }
    
  }

  //STOPMIX, SBOTMIX
  if (stopmix.exists() && sbotmix.exists()) {
    for (int i=1;i<=2;i++) {
      double ct1=0.0;
      double ct2=0.0;
      double cb1=0.0;
      double cb2=0.0;
      for (int j=1;j<=2;j++) {
        ct1 += pow(stopmix(i,j),2);
        ct2 += pow(stopmix(j,i),2);
        cb1 += pow(sbotmix(i,j),2);
        cb2 += pow(sbotmix(j,i),2);
      }
      if (abs(1.0-ct1) > 1e-3 || abs(1.0-ct2) > 1e-3) {
        ifail=-1;
        message(2,"checkSpectrum","STOPMIX is not unitary (wrong format?)",0);
        break;
      }
      if (abs(1.0-cb1) > 1e-3 || abs(1.0-cb2) > 1e-3) {
        ifail=-1;
        message(2,"checkSpectrum","SBOTMIX is not unitary (wrong format?)",0);
        break;
      }
    }
  }

  //STAUMIX
  if (staumix.exists()) {
    for (int i=1;i<=2;i++) {
      double ct1=0.0;
      double ct2=0.0;
      for (int j=1;j<=2;j++) {
        ct1 += pow(staumix(i,j),2);
        ct2 += pow(staumix(j,i),2);
      }
      if (abs(1.0-ct1) > 1e-3 || abs(1.0-ct2) > 1e-3) {
        ifail=-1;
        message(2,"checkSpectrum","STAUMIX is not unitary (wrong format?)",0);
        break;
      }
    }
  }

  //DSQMIX
  if (dsqmix.exists()) {
    for (int i=1;i<=6;i++) {
      double sr=0.0;
      double sc=0.0;
      for (int j=1;j<=6;j++) {
        sr += pow(dsqmix(i,j),2);
        sc += pow(dsqmix(j,i),2);
      }
      if (abs(1.0-sr) > 1e-3 || abs(1.0-sc) > 1e-3) {
        ifail=-1;
        message(2,"checkSpectrum","DSQMIX is not unitary (wrong format?)",0);
        break;
      }
    }
  }

  //USQMIX
  if (usqmix.exists()) {
    for (int i=1;i<=6;i++) {
      double sr=0.0;
      double sc=0.0;
      for (int j=1;j<=6;j++) {
        sr += pow(usqmix(i,j),2);
        sc += pow(usqmix(j,i),2);
      }
      if (abs(1.0-sr) > 1e-3 || abs(1.0-sc) > 1e-3) {
        ifail=-1;
        message(2,"checkSpectrum","USQMIX is not unitary (wrong format?)",0);
        break;
      }
    }
  }

  //SELMIX
  if (selmix.exists()) {
    for (int i=1;i<=6;i++) {
      double sr=0.0;
      double sc=0.0;
      for (int j=1;j<=6;j++) {
        sr += pow(selmix(i,j),2);
        sc += pow(selmix(j,i),2);
      }
      if (abs(1.0-sr) > 1e-3 || abs(1.0-sc) > 1e-3) {
        ifail=-1;
        message(2,"checkSpectrum","SELMIX is not unitary (wrong format?)",0);
        break;
      }
    }
  }  //NMSSM:
  if (modsel(3) == 1) {
    //NMNMIX
    if ( nmnmix.exists() ) {
      for (int i=1;i<=5;i++) {
        double cn1=0.0;
        double cn2=0.0;
        for (int j=1;j<=5;j++) {
          cn1 += pow(nmnmix(i,j),2);
          cn2 += pow(nmnmix(j,i),2);
        }
        if (abs(1.0-cn1) > 1e-3 || abs(1.0-cn2) > 1e-3) {
          ifail=-1;
          message(2,"checkSpectrum","NMNMIX is not unitary (wrong format?)",0);
          break;
        }
      }
    }
    else {
      ifail=-1;
      message(1,"checkSpectrum","MODSEL 3 = 1 (NMSSM) but no NMNMIX found",0);
    }
    //NMAMIX
    if ( nmamix.exists() ) {
      for (int i=1;i<=2;i++) {
        double cn1=0.0;
        for (int j=1;j<=3;j++) {
          cn1 += pow(nmamix(i,j),2);
        }
        if (abs(1.0-cn1) > 1e-3) {
          ifail=-1;
          message(2,"checkSpectrum","NMAMIX is not unitary (wrong format?)",0);
        }
      }
    }
    else {
      ifail=-1;
      message(1,"checkSpectrum","MODSEL 3 = 1 (NMSSM) but no NMAMIX found",0);
    }
    //NMHMIX
    if ( nmhmix.exists() ) {
      for (int i=1;i<=3;i++) {
        double cn1=0.0;
        double cn2=0.0;
        for (int j=1;j<=3;j++) {
          cn1 += pow(nmhmix(i,j),2);
          cn2 += pow(nmhmix(j,i),2);
        }
        if (abs(1.0-cn1) > 1e-3 || abs(1.0-cn2) > 1e-3) {
          ifail=-1;
          message(2,"checkSpectrum","NMHMIX is not unitary (wrong format?)",0);
        }
      }
    }
    else {
      ifail=-1;
      message(1,"checkSpectrum","MODSEL 3 = 1 (NMSSM) but no NMHMIX found",0);
    }
    //NMSSMRUN
    if (! nmssmrun.exists() ) {
      ifail=-1;
      message(2,"checkSpectrum","MODSEL 3 = 1 (NMSSM) but no NMSSMRUN found",
              0);
    }
  }
  
  //Check for documentation
  if (slhaRead && ! spinfo.exists(1)) spinfo.set(1,"unknown");
  if (slhaRead && ! spinfo.exists(2)) spinfo.set(2,"unknown");
  if (! slhaRead && ! spinfo.exists(1)) {
    spinfo.set(1,"DEFAULT");
    spinfo.set(2,"n/a");
  }

  //Give status
  if (ifail >= 2)
    message(0,"checkSpectrum","one or more serious problems were found");

  //Print Footer
  printFooter();

  //Return
  return ifail;
}

//--------------------------------------------------------------------------

// Check consistency of decay tables

int SusyLesHouches::checkDecays() {

  if (! headerPrinted) printHeader();
  int iFailDecays=0;
  
  // Loop over all particles read in
  for (int i = 0; i < int(decays.size()); ++i) {
    
    // Shorthand
    LHdecayTable decTab = decays[i];
    int idRes = decTab.getId();
    double width = decTab.getWidth();
    if (width <= 0.0 || decTab.size() == 0) continue;
    
    // Check sum of branching ratios and phase spaces
    double sum = 0.0;
    double absSum = 0.0;
    int decSize = decTab.size();
    for (int j = 0; j < decSize; ++j) {
      
      double brat = decTab.getBrat(j);
      
      // Check phase space
      if (abs(brat) > 0.0) {
        vector idDa = decTab.getIdDa(j);
        double massSum=abs(mass(idRes));
        for (int k=0; k";
          for (int jDa=0; jDa 1e-6) {
      message(1,"checkDecays","sum(BR) != 1");
      cout << " | offending particle: " << idRes << " sum(BR) = "
           << absSum << endl;
      iFailDecays = 2;
    }
    
  }
  // End of loop over particles. Done.
  
  return iFailDecays;

}

//--------------------------------------------------------------------------

// Simple utility to print messages, warnings, and errors

void SusyLesHouches::message(int level, string place,string themessage,
  int line) {
  if (verboseSav == 0) return;
  //Send normal messages and warnings to stdout, errors to stderr.
  ostream* outstream = &cerr;
  if (level <= 1) outstream = &cout;
  // if (level == 2) { *outstream << endl; }
  if (place != "") *outstream  <<  " | (SLHA::"+place+") ";
  else *outstream  <<  " | ";
  if (level == 1) *outstream <<  "Warning: ";
  if (level == 2) { *outstream  << "ERROR: "; }
  if (line != 0) *outstream <<  "line " << line << " - ";
  *outstream  <<  themessage  <<  endl;
  //  if (level == 2) *outstream  << endl;
  footerPrinted=false;
  return;
}

}

//==========================================================================





pythia8-8.1.86.orig/src/PartonLevel.cc0000644000175000017500000021255612357054762015716 0ustar  sunsun// PartonLevel.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the PartonLevel class.

#include "Pythia8/PartonLevel.h"

namespace Pythia8 {
 
//==========================================================================

// The PartonLevel class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maximum number of tries to produce parton level from given input.
const int PartonLevel::NTRY = 10;

//--------------------------------------------------------------------------

// Main routine to initialize the parton-level generation process.

bool PartonLevel::init( Info* infoPtrIn, Settings& settings,
  ParticleData* particleDataPtrIn, Rndm* rndmPtrIn,
  BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
  BeamParticle* beamPomAPtrIn, BeamParticle* beamPomBPtrIn,
  Couplings* couplingsPtrIn, PartonSystems* partonSystemsPtrIn,
  SigmaTotal* sigmaTotPtr, TimeShower* timesDecPtrIn, TimeShower* timesPtrIn,
  SpaceShower* spacePtrIn, RHadrons* rHadronsPtrIn, UserHooks* userHooksPtrIn,
  MergingHooks* mergingHooksPtrIn, bool useAsTrial ) {

  // Store input pointers and modes for future use.
  infoPtr            = infoPtrIn;
  particleDataPtr    = particleDataPtrIn;
  rndmPtr            = rndmPtrIn;
  beamAPtr           = beamAPtrIn;
  beamBPtr           = beamBPtrIn;
  beamHadAPtr        = beamAPtr;
  beamHadBPtr        = beamBPtr;
  beamPomAPtr        = beamPomAPtrIn;
  beamPomBPtr        = beamPomBPtrIn;
  couplingsPtr       = couplingsPtrIn;
  partonSystemsPtr   = partonSystemsPtrIn;
  timesDecPtr        = timesDecPtrIn;
  timesPtr           = timesPtrIn;
  spacePtr           = spacePtrIn;
  rHadronsPtr        = rHadronsPtrIn;
  userHooksPtr       = userHooksPtrIn;
  mergingHooksPtr    = mergingHooksPtrIn;

  // Min bias and diffraction processes need special treatment.
  bool doSQ          = settings.flag("SoftQCD:all")
                    || settings.flag("SoftQCD:inelastic");
  bool doND          = settings.flag("SoftQCD:nonDiffractive");
  bool doSD          = settings.flag("SoftQCD:singleDiffractive");
  bool doDD          = settings.flag("SoftQCD:doubleDiffractive");
  bool doCD          = settings.flag("SoftQCD:centralDiffractive");
  doNonDiff          =  doSQ || doND;
  doDiffraction      =  doSQ || doSD || doDD || doCD;

  // Separate low-mass (unresolved) and high-mass (perturbative) diffraction.
  mMinDiff           = settings.parm("Diffraction:mMinPert");
  mWidthDiff         = settings.parm("Diffraction:mWidthPert");
  pMaxDiff           = settings.parm("Diffraction:probMaxPert");
  if (mMinDiff > infoPtr->eCM()) doDiffraction = false;

  // Need MPI initialization for soft QCD processes, even if only first MPI.
  // But no need to initialize MPI if never going to use it.
  doMPI              = settings.flag("PartonLevel:MPI");
  doMPIMB            = doMPI;
  doMPISDA           = doMPI;
  doMPISDB           = doMPI;
  doMPICD            = doMPI;
  doMPIinit          = doMPI;
  if (doNonDiff || doDiffraction)        doMPIinit = true;
  if (!settings.flag("PartonLevel:all")) doMPIinit = false;

  // Initialise trial shower switch.
  doTrial            = useAsTrial;
  // Merging initialization.
  bool hasMergingHooks = (mergingHooksPtr != 0);
  canRemoveEvent       = !doTrial && hasMergingHooks
    && ( mergingHooksPtr->doCKKWLMerging() || mergingHooksPtr->doNL3Merging());
  canRemoveEmission    = !doTrial && hasMergingHooks
    && ( mergingHooksPtr->doUMEPSMerging() || mergingHooksPtr->doNL3Merging()
      || mergingHooksPtr->doUNLOPSMerging() );
  nTrialEmissions    = 1;
  pTLastBranch       = 0.0;
  typeLastBranch     = 0;

  // Flags for showers: ISR and FSR.
  doISR              = settings.flag("PartonLevel:ISR");
  bool FSR           = settings.flag("PartonLevel:FSR");
  bool FSRinProcess  = settings.flag("PartonLevel:FSRinProcess");
  bool interleaveFSR = settings.flag("TimeShower:interleave");
  doFSRduringProcess = FSR && FSRinProcess &&  interleaveFSR;
  doFSRafterProcess  = FSR && FSRinProcess && !interleaveFSR;
  doFSRinResonances  = FSR && settings.flag("PartonLevel:FSRinResonances");

  // Some other flags.
  doRemnants         = settings.flag("PartonLevel:Remnants");
  doSecondHard       = settings.flag("SecondHard:generate");
  earlyResDec        = settings.flag("PartonLevel:earlyResDec");

  // Allow R-hadron formation.
  allowRH            = settings.flag("RHadrons:allow");

  // Possibility to allow user veto during evolution.
  canVetoPT          = (userHooksPtr != 0)
                     ? userHooksPtr->canVetoPT()   : false;
  pTvetoPT           = (canVetoPT)
                     ? userHooksPtr->scaleVetoPT() : -1.;
  canVetoStep        = (userHooksPtr != 0)
                     ? userHooksPtr->canVetoStep() : false;
  nVetoStep          = (canVetoStep)
                     ? userHooksPtr->numberVetoStep() : -1;
  canVetoMPIStep     = (userHooksPtr != 0)
                     ? userHooksPtr->canVetoMPIStep() : false;
  nVetoMPIStep       = (canVetoMPIStep)
                     ? userHooksPtr->numberVetoMPIStep() : -1;
  canVetoEarly       = (userHooksPtr != 0)
                     ? userHooksPtr->canVetoPartonLevelEarly() : false;

  // Settings for vetoing of QCD emission for Drell-Yan weak boson production.
  vetoWeakJets       = settings.flag("WeakShower:vetoQCDjets");
  vetoWeakDeltaR2    = pow2(settings.parm("WeakShower:vetoWeakDeltaR"));

  // Possibility to set maximal shower scale in resonance decays.
  canSetScale        = (userHooksPtr != 0)
                     ? userHooksPtr->canSetResonanceScale() : false;

  // Possibility to reconnect specifically for resonance decays.
  canReconResSys     = (userHooksPtr != 0)
                     ? userHooksPtr->canReconnectResonanceSystems() : false;

  // Done with initialization only for FSR in resonance decays.
  if (beamAPtr == 0 || beamBPtr == 0) return true;

  // Flag if lepton beams, and if non-resolved ones. May change main flags.
  hasLeptonBeams     = ( beamAPtr->isLepton() || beamBPtr->isLepton() );
  hasPointLeptons    = ( hasLeptonBeams
    && (beamAPtr->isUnresolved() || beamBPtr->isUnresolved() ) );
  if (hasLeptonBeams) {
    doMPIMB          = false;
    doMPISDA         = false;
    doMPISDB         = false;
    doMPICD          = false;
    doMPIinit        = false;
  }
  if (hasPointLeptons) {
    doISR            = false;
    doRemnants       = false;
  }

  // Set info and initialize the respective program elements.
  timesPtr->init( beamAPtr, beamBPtr);
  if (doISR) spacePtr->init( beamAPtr, beamBPtr);
  doMPIMB  =  multiMB.init( doMPIinit, 0, infoPtr, settings, particleDataPtr,
    rndmPtr, beamAPtr, beamBPtr, couplingsPtr, partonSystemsPtr, sigmaTotPtr,
    userHooksPtr);
  if (doSD || doDD || doSQ) doMPISDA = multiSDA.init( doMPIinit, 1, infoPtr,
    settings, particleDataPtr, rndmPtr, beamAPtr, beamPomBPtr, couplingsPtr,
    partonSystemsPtr, sigmaTotPtr, userHooksPtr);
  if (doSD || doDD || doSQ) doMPISDB = multiSDB.init( doMPIinit, 2, infoPtr,
    settings, particleDataPtr, rndmPtr, beamPomAPtr, beamBPtr, couplingsPtr,
    partonSystemsPtr, sigmaTotPtr, userHooksPtr);
  if (doCD || doSQ) doMPICD = multiCD.init( doMPIinit, 3, infoPtr, settings,
    particleDataPtr, rndmPtr, beamPomAPtr, beamPomBPtr, couplingsPtr,
    partonSystemsPtr, sigmaTotPtr, userHooksPtr);
  remnants.init( infoPtr, settings, rndmPtr, beamAPtr, beamBPtr,
    partonSystemsPtr);
  resonanceDecays.init( infoPtr, particleDataPtr, rndmPtr);

  // Succeeded, or not.
  multiPtr       = &multiMB;
  if (doMPIinit && !doMPIMB) return false;
  if (doMPIinit && (doSD || doDD || doSQ) && (!doMPISDA || !doMPISDB))
     return false;
  if (doMPIinit && (doCD || doSQ) && !doMPICD) return false;
  if (!doMPIMB || !doMPISDA || !doMPISDB || !doMPICD) doMPI = false;
  return true;
}

//--------------------------------------------------------------------------

// Function to reset PartonLevel object for trial shower usage.

void PartonLevel::resetTrial() {

  // Clear input pointers.
  partonSystemsPtr->clear();
  beamAPtr->clear();
  beamBPtr->clear();
  beamHadAPtr->clear();
  beamHadBPtr->clear();
  beamPomAPtr->clear();
  beamPomBPtr->clear();

  // Clear last branching return values.
  pTLastBranch   = 0.0;
  typeLastBranch = 0;

}

//--------------------------------------------------------------------------

// Main routine to do the parton-level evolution.

bool PartonLevel::next( Event& process, Event& event) {

  // Current event classification.
  isResolved     = infoPtr->isResolved();
  isResolvedA    = isResolved;
  isResolvedB    = isResolved;
  isResolvedC    = isResolved;
  isDiffA        = infoPtr->isDiffractiveA();
  isDiffB        = infoPtr->isDiffractiveB();
  isDiffC        = infoPtr->isDiffractiveC();
  isDiff         = isDiffA || isDiffB || isDiffC;
  isCentralDiff  = isDiffC;
  isDoubleDiff   = isDiffA && isDiffB;
  isSingleDiff   = isDiff && !isDoubleDiff  && !isCentralDiff;
  isNonDiff      = infoPtr->isNonDiffractive();
  doVeto         = false;

  // nHardLoop counts how many hard-scattering subsystems are to be processed.
  // Almost always 1, but elastic and low-mass diffraction gives 0, while
  // double diffraction can give up to 2. Not to be confused with SecondHard.
  int nHardLoop  = 1;
  if (!isResolved) nHardLoop = (isDiff) ? decideResolvedDiff( process) : 0;

  // Handle unresolved subsystems. Done if no resolved ones.
  sizeProcess    = 0;
  sizeEvent      = 0;
  if (!isResolvedA || !isResolvedB || !isResolvedC) {
    bool physical = setupUnresolvedSys( process, event);
    if (!physical || nHardLoop == 0) return physical;
    sizeProcess  = process.size();
    sizeEvent    = event.size();
  }

  // Number of actual branchings.
  int nBranch        = 0;
  // Number of desired branchings, negative value means no restriction.
  int nBranchMax     = (doTrial) ? nTrialEmissions : -1;

  // Store merging weight.
  bool hasMergingHooks = (mergingHooksPtr != 0);
  if ( hasMergingHooks && canRemoveEvent )
    mergingHooksPtr->storeWeights(infoPtr->getWeightCKKWL());

  // Big outer loop to handle up to two systems (in double diffraction),
  // but normally one. (Not indented in following, but end clearly marked.)
  for (int iHardLoop = 1; iHardLoop <= nHardLoop; ++iHardLoop) {
    infoPtr->setCounter(20, iHardLoop);
    infoPtr->setCounter(21);

  // Classification of diffractive system: 1 = A, 2 = B, 3 = central.
  iDS = 0;
  if (isDiffA || isDiffB) iDS = (iHardLoop == 2 || !isResolvedA) ? 2 : 1;
  if (isDiffC) iDS = 3;

  // Process and event records can be out of step for diffraction.
  if (iHardLoop == 2) {
    sizeProcess = process.size();
    sizeEvent   = event.size();
    partonSystemsPtr->clear();
    if (event.lastColTag() > process.lastColTag())
      process.initColTag(event.lastColTag());
  }

  // If you need to restore then do not throw existing diffractive system.
  if (isDiff) {
    event.saveSize();
    event.saveJunctionSize();
   
    // Allow special treatment of diffractive systems.
    setupResolvedDiff( process);
  }

  // Prepare to do multiparton interactions; at new mass for diffraction.
  if (doMPIinit) multiPtr->reset();

  // Special case if nondiffractive: do hardest interaction.
  if (isNonDiff || isDiff) {
    multiPtr->pTfirst();
    multiPtr->setupFirstSys( process);
  }

  // Allow up to ten tries; failure possible for beam remnants.
  // Main cause: inconsistent colour flow at the end of the day.
  bool physical = true;
  int  nRad     = 0;
  for (int iTry = 0; iTry < NTRY; ++ iTry) {
    infoPtr->addCounter(21);
    for (int i = 22; i < 32; ++i) infoPtr->setCounter(i);

    // Reset flag, counters and max scales.
    physical   = true;
    nMPI       = (doSecondHard) ? 2 : 1;
    nISR       = 0;
    nFSRinProc = 0;
    nFSRinRes  = 0;
    nISRhard   = 0;
    nFSRhard   = 0;
    pTsaveMPI  = 0.;
    pTsaveISR  = 0.;
    pTsaveFSR  = 0.;

    // Identify hard interaction system for showers.
    setupHardSys( process, event);

    // Optionally check for a veto after the hardest interaction.
    if (canVetoMPIStep) {
      doVeto = userHooksPtr->doVetoMPIStep( 1, event);
      // Abort event if vetoed.
      if (doVeto) {
        if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
        return false;
      }
    }

    // Check matching of process scale to maximum ISR/FSR/MPI scales.
    double Q2Fac       = infoPtr->Q2Fac();
    double Q2Ren       = infoPtr->Q2Ren();
    bool limitPTmaxISR = (doISR)
      ? spacePtr->limitPTmax( event, Q2Fac, Q2Ren) : false;
    bool limitPTmaxFSR = (doFSRduringProcess)
      ? timesPtr->limitPTmax( event, Q2Fac, Q2Ren) : false;
    bool limitPTmaxMPI = (doMPI)  ? multiPtr->limitPTmax( event) : false;

    // Global recoil: reset counters and store locations of outgoing partons.
    timesPtr->prepareGlobal( event);
    bool isFirstTrial = true;

    // Set hard scale, maximum for showers and multiparton interactions.
    double pTscaleRad  = process.scale();
    double pTscaleMPI  = pTscaleRad;
    if (doSecondHard) {
      pTscaleRad       = max( pTscaleRad, process.scaleSecond() );
      pTscaleMPI       = min( pTscaleMPI, process.scaleSecond() );
    }
    double pTmaxMPI = (limitPTmaxMPI)  ? pTscaleMPI : infoPtr->eCM();
    double pTmaxISR = (limitPTmaxISR) ? spacePtr->enhancePTmax() * pTscaleRad
                                      : infoPtr->eCM();
    double pTmaxFSR = (limitPTmaxFSR) ? timesPtr->enhancePTmax() * pTscaleRad
                                      : infoPtr->eCM();

    // Potentially reset up starting scales for matrix element merging.
    if ( hasMergingHooks && (doTrial || canRemoveEvent || canRemoveEmission) )
      mergingHooksPtr->setShowerStartingScales( doTrial,
        (canRemoveEvent || canRemoveEmission), pTscaleRad, process, pTmaxFSR,
        limitPTmaxFSR, pTmaxISR, limitPTmaxISR, pTmaxMPI, limitPTmaxMPI );

    double pTmax    = max( pTmaxMPI, max( pTmaxISR, pTmaxFSR) );
    pTsaveMPI       = pTmaxMPI;
    pTsaveISR       = pTmaxISR;
    pTsaveFSR       = pTmaxFSR;
    // Prepare the classes to begin the generation.
    if (doMPI) multiPtr->prepare( event, pTmaxMPI);
    if (doISR) spacePtr->prepare( 0, event, limitPTmaxISR);
    if (doFSRduringProcess) timesPtr->prepare( 0, event, limitPTmaxFSR);
    if (doSecondHard && doISR) spacePtr->prepare( 1, event, limitPTmaxISR);
    if (doSecondHard && doFSRduringProcess) timesPtr->prepare( 1, event,
       limitPTmaxFSR);

    // Impact parameter has now been chosen, except for diffraction.
    if (!isDiff) infoPtr->setImpact( multiPtr->bMPI(),
      multiPtr->enhanceMPI(), true);
    // Set up initial veto scale.
    doVeto        = false;
    double pTveto = pTvetoPT;
    typeLatest    = 0;

    // Begin evolution down in pT from hard pT scale.
    do {
      infoPtr->addCounter(22);
      typeVetoStep = 0;
      nRad         =  nISR + nFSRinProc;

      // Find next pT value for FSR, MPI and ISR.
      // Order calls to minimize time expenditure.
      double pTgen = 0.;
      double pTtimes = (doFSRduringProcess)
        ? timesPtr->pTnext( event, pTmaxFSR, pTgen, isFirstTrial) : -1.;
      pTgen = max( pTgen, pTtimes);
      double pTmulti = (doMPI)
        ? multiPtr->pTnext( pTmaxMPI, pTgen, event) : -1.;
      pTgen = max( pTgen, pTmulti);
      double pTspace = (doISR)
        ? spacePtr->pTnext( event, pTmaxISR, pTgen, nRad) : -1.;
      double pTnow = max( pTtimes, max( pTmulti, pTspace));

      // Update information.
      infoPtr->setPTnow( pTnow);
      isFirstTrial = false;

      // Allow a user veto. Only do it once, so remember to change pTveto.
      if (pTveto > 0. && pTveto > pTnow) {
        pTveto = -1.;
        doVeto = userHooksPtr->doVetoPT( typeLatest, event);
        // Abort event if vetoed.
        if (doVeto) {
          if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
          return false;
        }
      }

      // Do a multiparton interaction (if allowed).
      if (pTmulti > 0. && pTmulti > pTspace && pTmulti > pTtimes) {
        infoPtr->addCounter(23);
        if (multiPtr->scatter( event)) {
          typeLatest = 1;
          ++nMPI;
          if (canVetoMPIStep && nMPI <= nVetoMPIStep) typeVetoStep = 1;

          // Update ISR and FSR dipoles.
          if (doISR)              spacePtr->prepare( nMPI - 1, event);
          if (doFSRduringProcess) timesPtr->prepare( nMPI - 1, event);
        }

        // Set maximal scales for next pT to pick.
        pTmaxMPI = pTmulti;
        pTmaxISR = min(pTmulti, pTmaxISR);
        pTmaxFSR = min(pTmulti, pTmaxFSR);
        pTmax    = pTmulti;
        nBranch++;
        pTLastBranch = pTmulti;
        typeLastBranch = 1;
      }

      // Do an initial-state emission (if allowed).
      else if (pTspace > 0. && pTspace > pTtimes) {
        infoPtr->addCounter(24);
        if (spacePtr->branch( event)) {
          typeLatest = 2;
          iSysNow = spacePtr->system();
          ++nISR;
          if (iSysNow == 0) ++nISRhard;
          if (canVetoStep && iSysNow == 0 && nISRhard <= nVetoStep)
            typeVetoStep = 2;

          // Update FSR dipoles.
          if (doFSRduringProcess) timesPtr->update( iSysNow, event,
            spacePtr->getHasWeaklyRadiated());
          nBranch++;
          pTLastBranch = pTspace;
          typeLastBranch = 2;

        // Rescatter: it is possible for kinematics to fail, in which
        //            case we need to restart the parton level processing.
        } else if (spacePtr->doRestart()) {
          physical = false;
          break;
        }

        // Set maximal scales for next pT to pick.
        pTmaxMPI = min(pTspace, pTmaxMPI);
        pTmaxISR = pTspace;
        pTmaxFSR = min(pTspace, pTmaxFSR);
        pTmax    = pTspace;
      }

      // Do a final-state emission (if allowed).
      else if (pTtimes > 0.) {
        infoPtr->addCounter(25);
        if (timesPtr->branch( event, true)) {
          typeLatest = 3;
          iSysNow = timesPtr->system();
          ++nFSRinProc;
          if (iSysNow == 0) ++nFSRhard;
          if (canVetoStep && iSysNow == 0 && nFSRhard <= nVetoStep)
            typeVetoStep = 3;

          // Update ISR dipoles.
          if (doISR) spacePtr->update( iSysNow, event,
            timesPtr->getHasWeaklyRadiated());
          nBranch++;
          pTLastBranch = pTtimes;
          typeLastBranch = 3;

        }

        // Set maximal scales for next pT to pick.
        pTmaxMPI = min(pTtimes, pTmaxMPI);
        pTmaxISR = min(pTtimes, pTmaxISR);
        pTmaxFSR = pTtimes;
        pTmax    = pTtimes;
      }

      // If no pT scales above zero then nothing to be done.
      else pTmax = 0.;
      
      // Check for double counting for Drell-Yan weak production.
      // Only look at the second emission.
      if ( (infoPtr->code() == 221 || infoPtr->code() == 222) &&
            nISRhard + nFSRhard == 2 && vetoWeakJets) {
        int id1 = event[partonSystemsPtr->getOut(0,0)].id();
        int id2 = event[partonSystemsPtr->getOut(0,1)].id();
        int id3 = event[partonSystemsPtr->getOut(0,2)].id();
        Vec4 p1 = event[partonSystemsPtr->getOut(0,0)].p();
        Vec4 p2 = event[partonSystemsPtr->getOut(0,1)].p();
        Vec4 p3 = event[partonSystemsPtr->getOut(0,2)].p();
        
        // Make sure id1 is weak boson, and check that there
        // only is a single weak boson and no photons.
        bool doubleCountEvent = true;
        if (abs(id1) == 24 || abs(id1) == 23) {
          if (abs(id2) > 21 || abs(id3) > 21)
            doubleCountEvent = false;
        } else if (abs(id2) == 24 || abs(id2) == 23) {
          swap(id1,id2);
          swap(p1,p2);
          if (abs(id3) > 21)
            doubleCountEvent = false;
        } else if ( abs(id3) == 24 || abs(id3) == 23) {
          swap(id1,id3);
          swap(p1,p3);
        }
        
        if (doubleCountEvent) {
          double d = p1.pT2();
          bool cut = true;
          if (p2.pT2() < d) {d = p2.pT2(); cut = false;}
          if (p3.pT2() < d) {d = p3.pT2(); cut = false;}
    
          // Check for angle between weak boson and quarks.
          // (require final state particle to be a fermion)
          if (abs(id2) < 20) {
            double dij = min(p1.pT2(),p2.pT2())
              * pow2(RRapPhi(p1,p2)) / vetoWeakDeltaR2;
            if (dij < d) {
              d = dij;
              cut = true;
            }
          }

          if (abs(id3) < 20) {
            double dij = min(p1.pT2(),p3.pT2())
              * pow2(RRapPhi(p1,p3)) / vetoWeakDeltaR2;
            if (dij < d) {
              d = dij;
              cut = true;
            }
          }
          
          // Check for angle between recoiler and radiator,
          // if it is a quark anti-quark pair
          // or if the recoiler is a gluon.
          if (abs(id2) == 21 || abs(id3) == 21 || id2 == - id3) {
            double dij = min(p2.pT2(),p3.pT2())
              * pow2(RRapPhi(p2,p3)) / vetoWeakDeltaR2;
            if (dij < d) {
              d = dij;
              cut = false;
            }
          }

          // Veto event if it does not belong to Drell-Yan production.
          if (cut) return false;
        }
      }

      // Optionally check for a veto after the first few interactions,
      // or after the first few emissions, ISR or FSR, in the hardest system.
      if (typeVetoStep == 1) {
        doVeto = userHooksPtr->doVetoMPIStep( nMPI, event);
      } else if (typeVetoStep > 1) {
        doVeto = userHooksPtr->doVetoStep( typeVetoStep, nISRhard,
          nFSRhard, event);
      }

      // Abort event if vetoed.
      if (doVeto) {
        if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
        return false;
      }

      // Keep on evolving until nothing is left to be done.
      if (typeLatest > 0 && typeLatest < 4)
        infoPtr->addCounter(25 + typeLatest);
      if (!isDiff) infoPtr->setPartEvolved( nMPI, nISR);

      // Handle potential merging veto.
      if ( canRemoveEvent && nISRhard + nFSRhard == 1 ){
        // Simply check, and possibly reset weights.
        mergingHooksPtr->doVetoStep( process, event );
      }

    // End loop evolution down in pT from hard pT scale.
    } while (pTmax > 0.  && (nBranchMax <= 0 || nBranch < nBranchMax) );

    // Do all final-state emissions if not already considered above.
    if (doFSRafterProcess && (nBranchMax <= 0 || nBranch < nBranchMax) ) {

      // Find largest scale for final partons.
      pTmax = 0.;
      for (int i = 0; i < event.size(); ++i)
        if (event[i].isFinal() && event[i].scale() > pTmax)
          pTmax = event[i].scale();
      pTsaveFSR = pTmax;

      // Prepare all subsystems for evolution.
      for (int iSys = 0; iSys < partonSystemsPtr->sizeSys(); ++iSys)
        timesPtr->prepare( iSys, event);

      // Set up initial veto scale.
      doVeto = false;
      pTveto = pTvetoPT;

      // Begin evolution down in pT from hard pT scale.
      do {
        infoPtr->addCounter(29);
        typeVetoStep = 0;
        double pTtimes = timesPtr->pTnext( event, pTmax, 0.);
        infoPtr->setPTnow( pTtimes);

        // Allow a user veto. Only do it once, so remember to change pTveto.
        if (pTveto > 0. && pTveto > pTtimes) {
          pTveto = -1.;
          doVeto = userHooksPtr->doVetoPT( 4, event);
          // Abort event if vetoed.
          if (doVeto) {
            if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
            return false;
          }
        }

        // Do a final-state emission (if allowed).
        if (pTtimes > 0.) {
          infoPtr->addCounter(30);
          if (timesPtr->branch( event, true)) {
            iSysNow = timesPtr->system();
            ++nFSRinProc;
            if (iSysNow == 0) ++nFSRhard;
            if (canVetoStep && iSysNow == 0 && nFSRhard <= nVetoStep)
            typeVetoStep = 4;

            nBranch++;
            pTLastBranch = pTtimes;
            typeLastBranch = 4;

          }
          pTmax = pTtimes;
        }
    
        // If no pT scales above zero then nothing to be done.
        else pTmax = 0.;

        // Optionally check for a veto after the first few emissions.
        if (typeVetoStep > 0) {
          doVeto = userHooksPtr->doVetoStep( typeVetoStep, nISRhard,
            nFSRhard, event);
          // Abort event if vetoed.
          if (doVeto) {
            if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
            return false;
          }
        }

        // Handle potential merging veto.
        if ( canRemoveEvent && nISRhard + nFSRhard == 1 ){
          // Simply check, and possibly reset weights.
          mergingHooksPtr->doVetoStep( process, event );
        }

        // Keep on evolving until nothing is left to be done.
        infoPtr->addCounter(31);

      } while (pTmax > 0.  && (nBranchMax <= 0 || nBranch < nBranchMax) );
    }

    // Handle veto after ISR + FSR + MPI, but before beam remnants
    // and resonance decays, e.g. for MLM matching.
    if (canVetoEarly && userHooksPtr->doVetoPartonLevelEarly( event)) {
      doVeto = true;
      if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
      return false;
    }

    // Perform showers in resonance decay chains before beams & reconnection.
    if (earlyResDec) {
      int oldSizeEvt = event.size();
      int oldSizeSys = partonSystemsPtr->sizeSys();
      if (nBranchMax <= 0 || nBranch < nBranchMax)
        doVeto = !resonanceShowers( process, event, true);
      // Abort event if vetoed.
      if (doVeto) return false;

      // Reassign new decay products to original system.
      for (int iSys = oldSizeSys; iSys < partonSystemsPtr->sizeSys(); ++iSys)
        for (int iOut = 0; iOut < partonSystemsPtr->sizeOut(iSys); ++iOut)
          partonSystemsPtr->addOut(0, partonSystemsPtr->getOut( iSys, iOut) );
      partonSystemsPtr->setSizeSys( oldSizeSys);

      // Perform decays and showers of W and Z emitted in shower.
      // To do:check if W/Z emission is on in ISR or FSR??
      if (!wzDecayShowers( event)) return false;

      // User hook to reconnect colours specifically in resonance decays.
      if (canReconResSys && !userHooksPtr->doReconnectResonanceSystems( 
        oldSizeEvt, event)) return false;
    }

    // Add beam remnants, including primordial kT kick and colour tracing.
    if (!doTrial && physical && doRemnants && !remnants.add( event))
      physical = false;

    // If no problems then done.
    if (physical) break;

    // Else restore and loop, but do not throw existing diffractive system.
    if (!isDiff) event.clear();
    else {
      event.restoreSize();
      event.restoreJunctionSize();
    }
    beamAPtr->clear();
    beamBPtr->clear();
    partonSystemsPtr->clear();

  // End loop over ten tries. Restore from diffraction. Hopefully it worked.
  }
  if (isDiff) leaveResolvedDiff( iHardLoop, process, event);
  if (!physical) return false;

  // End big outer loop to handle two systems in double diffraction.
  }

  // Perform showers in resonance decay chains after beams & reconnection.
  if (!earlyResDec) {
    int oldSizeEvt = event.size();
    if (nBranchMax <= 0 || nBranch < nBranchMax)
      doVeto = !resonanceShowers( process, event, true);
    // Abort event if vetoed.
    if (doVeto) return false;

    // Perform decays and showers of W and Z emitted in shower.
    // To do:check if W/Z emission is on in ISR or FSR??
    if (!wzDecayShowers( event)) return false;

    // User hook to reconnect colours specifically in resonance decays.
    if (canReconResSys && !userHooksPtr->doReconnectResonanceSystems( 
      oldSizeEvt, event)) return false;
  }

  // Store event properties. Not available for diffraction.
  if (!isDiff) infoPtr->setEvolution( pTsaveMPI, pTsaveISR, pTsaveFSR,
    nMPI, nISR, nFSRinProc, nFSRinRes);
  if (isDiff) {
    multiPtr->setEmpty();
    infoPtr->setImpact( multiPtr->bMPI(), multiPtr->enhanceMPI(), false);
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Decide which diffractive subsystems are resolved (= perturbative).

int PartonLevel::decideResolvedDiff( Event& process) {

  // Loop over two systems.
  int nHighMass = 0;
  int iDSmin    = (isDiffC) ? 3 : 1;
  int iDSmax    = (isDiffC) ? 3 : 2;
  for (int iDSnow = iDSmin; iDSnow <= iDSmax; ++iDSnow) {
    int iDiffMot = iDSnow + 2;

    // Only high-mass diffractive systems should be resolved.
    double mDiff = process[iDiffMot].m();
    bool isHighMass = ( mDiff > mMinDiff && rndmPtr->flat()
      < pMaxDiff * ( 1. - exp( -(mDiff - mMinDiff) / mWidthDiff ) ) );

    // Set outcome and done.
    if (isHighMass) ++nHighMass;
    if (iDSnow == 1) isResolvedA = isHighMass;
    if (iDSnow == 2) isResolvedB = isHighMass;
    if (iDSnow == 3) isResolvedC = isHighMass;
  }
  return nHighMass;

}

//--------------------------------------------------------------------------

// Set up an unresolved process, i.e. elastic or diffractive.

bool PartonLevel::setupUnresolvedSys( Event& process, Event& event) {

  // No hard scale in event.
  process.scale( 0.);

  // Copy particles from process to event.
  for (int i = 0; i < process.size(); ++ i) event.append( process[i]);

  // Loop to find diffractively excited beams.
  for (iDS = 1; iDS < 4; ++iDS)
  if ( (iDS == 1 && isDiffA && !isResolvedA)
    || (iDS == 2 && isDiffB && !isResolvedB)
    || (iDS == 3 && isDiffC && !isResolvedC) ) {
    int iBeam = iDS + 2;

    // Diffractive mass. Boost and rotation from diffractive system
    // rest frame, aligned along z axis, to event cm frame.
    double mDiff  = process[iBeam].m();
    double m2Diff = mDiff * mDiff;
    Vec4 pDiffA   = (iDS == 1) ? process[1].p()
                               : process[1].p() - process[3].p();
    Vec4 pDiffB   = (iDS == 2) ? process[2].p()
                               : process[2].p() - process[4].p();
    RotBstMatrix MtoCM;
    MtoCM.fromCMframe( pDiffA, pDiffB);

    // Beam Particle used for flavour content kicked out by Pomeron.
    // Randomize for central diffraction; misses closed gluon loop case.
    bool beamSideA = (iDS == 1 || (iDS == 3 && rndmPtr->flat() < 0.5));
    BeamParticle* beamPtr = (beamSideA) ? beamAPtr    : beamBPtr;
    if (iDS == 3) beamPtr = (beamSideA) ? beamPomAPtr : beamPomBPtr;

    // Pick quark or gluon kicked out and flavour subdivision.
    beamPtr->newValenceContent();
    bool gluonIsKicked = beamPtr->pickGluon(mDiff);
    int id1 = beamPtr->pickValence();
    int id2 = beamPtr->pickRemnant();

    // Find flavour masses. Scale them down if too big.
    double m1 = particleDataPtr->constituentMass(id1);
    double m2 = particleDataPtr->constituentMass(id2);
    if (m1 + m2 > 0.5 * mDiff) {
      double reduce = 0.5 * mDiff / (m1 + m2);
      m1 *= reduce;
      m2 *= reduce;
    }

    // If quark is kicked out, then trivial kinematics in rest frame.
    if (!gluonIsKicked) {
      double pAbs = sqrt( pow2(m2Diff - m1*m1 - m2*m2)
        - pow2(2. * m1 * m2) ) / (2. * mDiff);
      if (!beamSideA) pAbs = -pAbs;
      double e1 = (m2Diff + m1*m1 - m2*m2) / (2. * mDiff);
      double e2 = (m2Diff + m2*m2 - m1*m1) / (2. * mDiff);
      Vec4 p1( 0., 0., -pAbs, e1);
      Vec4 p2( 0., 0.,  pAbs, e2);

      // Boost and rotate to event cm frame.
      p1.rotbst( MtoCM);
      p2.rotbst( MtoCM);

      // Set colours.
      int col1, acol1, col2, acol2;
      if (particleDataPtr->colType(id1) == 1) {
        col1  = event.nextColTag();
        acol1 = 0;
        col2  = 0;
        acol2 = col1;
      } else {
        col1  = 0;
        acol1 = event.nextColTag();
        col2  = acol1;
        acol2 = 0;
      }
     // Update process colours to stay in step.
      process.nextColTag();
    
      // Store partons of diffractive system and mark system decayed.
      int iDauBeg = event.append( id1, 24, iBeam, 0, 0, 0, col1, acol1,
        p1, m1);
      int iDauEnd = event.append( id2, 63, iBeam, 0, 0, 0, col2, acol2,
        p2, m2);
      event[iBeam].statusNeg();
      event[iBeam].daughters(iDauBeg, iDauEnd);

    // If gluon is kicked out: share momentum between two remnants.
    } else {
      double m2Sys, zSys, pxSys, pySys, mTS1, mTS2;
      zSys = beamPtr->zShare(mDiff, m1, m2);

      // Provide relative pT kick in remnant. Construct (transverse) masses.
      pxSys = beamPtr->pxShare();
      pySys = beamPtr->pyShare();
      mTS1  = m1*m1 + pxSys*pxSys + pySys*pySys;
      mTS2  = m2*m2 + pxSys*pxSys + pySys*pySys;
      m2Sys = mTS1 / zSys + mTS2 / (1. - zSys);

      // Momentum of kicked-out massless gluon in diffractive rest frame.
      double pAbs  = (m2Diff - m2Sys) / (2. * mDiff);
      double pLRem = (beamSideA) ? pAbs : -pAbs;
      Vec4 pG(  0., 0., -pLRem, pAbs);
      Vec4 pRem(0., 0.,  pLRem, mDiff - pAbs);

      // Momenta of the two beam remnant flavours. (Lightcone p+ = m_diff!)
      double e1 = 0.5 * (zSys * mDiff + mTS1 / (zSys * mDiff));
      double pL1 = 0.5 * (zSys * mDiff - mTS1 / (zSys * mDiff));
      if (!beamSideA) pL1 = -pL1;
      Vec4 p1(pxSys, pySys, pL1, e1);
      Vec4 p2 = pRem - p1;
  
      // Boost and rotate to event cm frame. Improve precision.
      pG.rotbst( MtoCM);
      p1.rotbst( MtoCM);
      p2.rotbst( MtoCM);
      pG.e( pG.pAbs());

      // Set colours.
      int colG, acolG, col1, acol1, col2, acol2;
      if (particleDataPtr->colType(id1) == 1) {
        col1  = event.nextColTag();
        acol1 = 0;
        colG  = event.nextColTag();
        acolG = col1;
        col2  = 0;
        acol2 = colG;
      } else {
        col1  = 0;
        acol1 = event.nextColTag();
        colG  = acol1;
        acolG = event.nextColTag();
        col2  = acolG;
        acol2 = 0;
      }
      // Update process colours to stay in step.
      process.nextColTag();
      process.nextColTag();
             
      // Store partons of diffractive system and mark system decayed.
      int iDauBeg = event.append( 21, 24, iBeam, 0, 0, 0, colG, acolG, pG, 0.);
      event.append( id1, 63, iBeam, 0, 0, 0, col1, acol1, p1, m1);
      int iDauEnd = event.append( id2, 63, iBeam, 0, 0, 0, col2, acol2,
        p2, m2);
      event[iBeam].statusNeg();
      event[iBeam].daughters(iDauBeg, iDauEnd);
    }

  // End loop over beams. Done.
  }
  return true;

}

//--------------------------------------------------------------------------

// Set up the hard process(es), excluding subsequent resonance decays.

void PartonLevel::setupHardSys( Event& process, Event& event) {

  // Incoming partons to hard process are stored in slots 3 and 4.
  int inS = 0;
  int inP = 3;
  int inM = 4;

  // Mother and last entry of diffractive system. Offset.
  int iDiffMot = iDS + 2;
  int iDiffDau = process.size() - 1;
  int nOffset  = sizeEvent - sizeProcess;

  // Resolved diffraction means more entries.
  if (isDiff) {
    inS   = iDiffMot;
    inP   = iDiffDau - 3;
    inM   = iDiffDau - 2;

    // Diffractively excited particle described as Pomeron-hadron beams.
    event[inS].statusNeg();
    event[inS].daughters( inP - 2 + nOffset, inM - 2 + nOffset);
  }

  // If two hard interactions then find where second begins.
  int iBeginSecond = process.size();
  if (doSecondHard) {
    iBeginSecond = 5;
    while (process[iBeginSecond].status() != -21) ++iBeginSecond;
  }

  // If incoming partons are massive then recalculate to put them massless.
  if (process[inP].m() != 0. || process[inM].m() != 0.) {
    double pPos = process[inP].pPos() + process[inM].pPos();
    double pNeg = process[inP].pNeg() + process[inM].pNeg();
    process[inP].pz( 0.5 * pPos);
    process[inP].e(  0.5 * pPos);
    process[inP].m(  0.);
    process[inM].pz(-0.5 * pNeg);
    process[inM].e(  0.5 * pNeg);
    process[inM].m(  0.);
  }

  // Add incoming hard-scattering partons to list in beam remnants.
  double x1 = process[inP].pPos() / process[inS].m();
  beamAPtr->append( inP + nOffset, process[inP].id(), x1);
  double x2 = process[inM].pNeg() / process[inS].m();
  beamBPtr->append( inM + nOffset, process[inM].id(), x2);

  // Scale. Find whether incoming partons are valence or sea. Store.
  // When an x-dependent matter profile is used with nonDiffractive,
  // trial interactions mean that the valence/sea choice has already
  // been made and should be restored here.
  double scale = process.scale();
  int vsc1, vsc2;
  beamAPtr->xfISR( 0, process[inP].id(), x1, scale*scale);
  if (isNonDiff && (vsc1 = multiPtr->getVSC1()) != 0)
    (*beamAPtr)[0].companion(vsc1);
  else vsc1 = beamAPtr->pickValSeaComp();
  beamBPtr->xfISR( 0, process[inM].id(), x2, scale*scale);
  if (isNonDiff && (vsc2 = multiPtr->getVSC2()) != 0)
    (*beamBPtr)[0].companion(vsc2);
  else vsc2 = beamBPtr->pickValSeaComp();
  bool isVal1 = (vsc1 == -3);
  bool isVal2 = (vsc2 == -3);
  infoPtr->setValence( isVal1, isVal2);

  // Initialize info needed for subsequent sequential decays + showers.
  nHardDone = sizeProcess;
  iPosBefShow.resize( process.size() );
  fill( iPosBefShow.begin(), iPosBefShow.end(), 0);

  // Add the beam and hard subprocess partons to the event record.
  for (int i = sizeProcess; i < iBeginSecond; ++i) {
    if (process[i].mother1() > inM) break;
    int j = event.append(process[i]);
    iPosBefShow[i] = i;

    // Offset history if process and event not in step.
    if (nOffset != 0) {
      int iOrd = i - iBeginSecond + 7;
      if (iOrd == 1 || iOrd == 2)
        event[j].offsetHistory( 0, 0, 0, nOffset);
      else if (iOrd == 3 || iOrd == 4)
        event[j].offsetHistory( 0, nOffset, 0, nOffset);
      else if (iOrd == 5 || iOrd == 6)
        event[j].offsetHistory( 0, nOffset, 0, 0);
    }

    // Currently outgoing ones should not count as decayed.
    if (event[j].status() == -22) {
      event[j].statusPos();
      event[j].daughters(0, 0);
    }

    // Complete task of copying hard subsystem into event record.
    ++nHardDone;
  }

  // Store participating partons as first set in list of all systems.
  partonSystemsPtr->addSys();
  partonSystemsPtr->setInA(0, inP + nOffset);
  partonSystemsPtr->setInB(0, inM + nOffset);
  for (int i = inM + 1; i < nHardDone; ++i)
    partonSystemsPtr->addOut(0, i + nOffset);
  partonSystemsPtr->setSHat( 0,
    (event[inP + nOffset].p() + event[inM + nOffset].p()).m2Calc() );
  partonSystemsPtr->setPTHat( 0, scale);

  // Identify second hard process where applicable.
  // Since internally generated incoming partons are guaranteed massless.
  if (doSecondHard) {
    int inP2 = iBeginSecond;
    int inM2 = iBeginSecond + 1;

    // Add incoming hard-scattering partons to list in beam remnants.
    // Not valid if not in rest frame??
    x1 = process[inP2].pPos() / process[0].e();
    beamAPtr->append( inP2, process[inP2].id(), x1);
    x2 = process[inM2].pNeg() / process[0].e();
    beamBPtr->append( inM2, process[inM2].id(), x2);

    // Find whether incoming partons are valence or sea.
    scale = process.scaleSecond();
    beamAPtr->xfISR( 1, process[inP2].id(), x1, scale*scale);
    beamAPtr->pickValSeaComp();
    beamBPtr->xfISR( 1, process[inM2].id(), x2, scale*scale);
    beamBPtr->pickValSeaComp();

    // Add the beam and hard subprocess partons to the event record.
    for (int i = inP2; i < process.size(); ++ i) {
      int mother = process[i].mother1();
      if ( (mother > 2 && mother < inP2) || mother > inM2 ) break;
      event.append(process[i]);
      iPosBefShow[i] = i;

      // Currently outgoing ones should not count as decayed.
      if (event[i].status() == -22) {
        event[i].statusPos();
        event[i].daughters(0, 0);
      }

      // Complete task of copying hard subsystem into event record.
      ++nHardDone;
    }

    // Store participating partons as second set in list of all systems.
    partonSystemsPtr->addSys();
    partonSystemsPtr->setInA(1, inP2);
    partonSystemsPtr->setInB(1, inM2);
    for (int i = inM2 + 1; i < nHardDone; ++i)
      partonSystemsPtr->addOut(1, i);
    partonSystemsPtr->setSHat( 1,
      (event[inP2].p() + event[inM2].p()).m2Calc() );
    partonSystemsPtr->setPTHat( 1, scale);

  // End code for second hard process.
  }

  // Update event colour tag to maximum in whole process.
  int maxColTag = 0;
  for (int i = 0; i < process.size(); ++ i) {
    if (process[i].col() > maxColTag) maxColTag = process[i].col();
    if (process[i].acol() > maxColTag) maxColTag = process[i].acol();
  }
  event.initColTag(maxColTag);

  // Copy junctions from process to event.
  for (int iJun = 0; iJun < process.sizeJunction(); ++iJun) {
    // Resonance decay products may not have been copied from process to
    // event yet. If so, do not add junctions associated with decays yet.
    int kindJunction = process.kindJunction(iJun);
    bool doCopy = true;
    // For junction types <= 4, check if final-state legs were copied.
    if (kindJunction <= 4) {
      int iLegF1 = (kindJunction - 1) / 2;
      for (int iLeg = iLegF1; iLeg <= 2; ++iLeg) {
        bool colFound = false;
        for (int i = inM + 1; i < event.size(); ++i) {
          int col = (kindJunction % 2 == 1) ? event[i].col() : event[i].acol();
          if (col == process.colJunction(iJun,iLeg)) colFound = true;
        }
        if (!colFound) doCopy = false;
      }
    }
    if (doCopy) event.appendJunction( process.getJunction(iJun));
  }

  // Done.
}

//--------------------------------------------------------------------------

// Set up the event for subsequent resonance decays and showers.

void PartonLevel::setupShowerSys( Event& process, Event& event) {

  // Reset event record to only contain line 0.
  event.clear();
  event.append( process[0]);

  // Initialize info needed for subsequent sequential decays + showers.
  nHardDone = 1;
  iPosBefShow.resize( process.size());
  fill( iPosBefShow.begin(), iPosBefShow.end(), 0);

  // Add the hard subprocess partons to the event record.
  for (int i = 1; i < process.size(); ++i) {
    if (process[i].mother1() > 0) break;
    int j = event.append(process[i]);
    iPosBefShow[i] = i;

    // Currently outgoing ones should not count as decayed.
    if (event[j].status() == -22) {
      event[j].statusPos();
      event[j].daughters(0, 0);
    }

    // Complete task of copying hard subsystem into event record.
    ++nHardDone;
  }

  // Store participating partons as first set in list of all systems.
  partonSystemsPtr->clear();
  partonSystemsPtr->addSys();
  for (int i = 1; i < nHardDone; ++i) partonSystemsPtr->addOut(0, i);
  partonSystemsPtr->setSHat( 0, pow2(process[0].m()) );
  partonSystemsPtr->setPTHat( 0, 0.5 * process[0].m() );

  // Copy junctions from process to event.
  for (int iJun = 0; iJun < process.sizeJunction(); ++iJun) {
    // Resonance decay products may not have been copied from process to
    // event yet. If so, do not add junctions associated with decays yet.
    int kindJunction = process.kindJunction(iJun);
    bool doCopy = true;
    // For junction types <= 4, check if final-state legs were copied.
    if (kindJunction <= 4) {
      int iLegF1 = (kindJunction - 1) / 2;
      for (int iLeg = iLegF1; iLeg <= 2; ++iLeg) {
        bool colFound = false;
        for (int i = 1; i < event.size(); ++i) {
          int col = (kindJunction % 2 == 1) ? event[i].col() : event[i].acol();
          if (col == process.colJunction(iJun,iLeg)) colFound = true;
        }
        if (!colFound) doCopy = false;
      }
    }
    if (doCopy) event.appendJunction( process.getJunction(iJun));
  }
  
  // Done.
}

//--------------------------------------------------------------------------

// Resolved diffraction: replace full event with diffractive subsystem.

void PartonLevel::setupResolvedDiff( Event& process) {

  // Mother and last entry of diffractive system.
  int iDiffMot     = iDS + 2;
  int iDiffDau     = process.size() - 1;

  // Diffractively excited particle to be replaced by Pomeron-hadron beams
  // (or Pomeron-Pomeron beams for central diffraction).
  process[iDiffMot].statusNeg();
  process[iDiffMot].daughters( iDiffDau + 1, iDiffDau + 2);

  // Diffractive system mass.
  double mDiff   = process[iDiffMot].m();
  double m2Diff  = mDiff * mDiff;

  // Set up Pomeron-proton or Pomeron-Pomeron system as if it were
  // the complete collision. Set Pomeron "beam particle" massless.
  int idDiffA    = (iDS == 1) ? process[1].id() : 990;
  int idDiffB    = (iDS == 2) ? process[2].id() : 990;
  double mDiffA  = (iDS == 1) ? process[1].m() : 0.;
  double mDiffB  = (iDS == 2) ? process[2].m() : 0.;
  double m2DiffA = mDiffA * mDiffA;
  double m2DiffB = mDiffB * mDiffB;
  double eDiffA  = 0.5 * (m2Diff + m2DiffA - m2DiffB) / mDiff;
  double eDiffB  = 0.5 * (m2Diff + m2DiffB - m2DiffA) / mDiff;
  double pzDiff  = 0.5 * sqrtpos( pow2(m2Diff - m2DiffA - m2DiffB)
                 - 4. * m2DiffA * m2DiffB ) / mDiff;
  process.append( idDiffA, 13, iDiffMot, 0, 0, 0, 0, 0,
                   0., 0.,  pzDiff, eDiffA, mDiffA);
  process.append( idDiffB, 13, iDiffMot, 0, 0, 0, 0, 0,
                   0., 0., -pzDiff, eDiffB, mDiffB);

  // Reassign beam pointers to refer to subsystem effective beams.
  beamAPtr       = (iDS == 1) ? beamHadAPtr : beamPomAPtr;
  beamBPtr       = (iDS == 2) ? beamHadBPtr : beamPomBPtr;

  // Pretend that the diffractive system is the whole collision.
  eCMsave = infoPtr->eCM();
  infoPtr->setECM( mDiff);
  beamAPtr->newPzE(  pzDiff, eDiffA);
  beamBPtr->newPzE( -pzDiff, eDiffB);

  // Beams not found in normal slots 1 and 2.
  int beamOffset = (sizeEvent > 0) ? sizeEvent - 1 : 4;
       
  // Reassign beam pointers in other classes.
  timesPtr->reassignBeamPtrs( beamAPtr, beamBPtr, beamOffset);
  spacePtr->reassignBeamPtrs( beamAPtr, beamBPtr, beamOffset);
  remnants.reassignBeamPtrs(  beamAPtr, beamBPtr, iDS);

  // Reassign multiparton interactions pointer to right object.
  if      (iDS == 1) multiPtr = &multiSDA;
  else if (iDS == 2) multiPtr = &multiSDB;
  else               multiPtr = &multiCD;

}

//--------------------------------------------------------------------------

// Resolved diffraction: restore to original behaviour.

void PartonLevel::leaveResolvedDiff( int iHardLoop, Event& process,
  Event& event) {

  // Reconstruct boost and rotation to event cm frame.
  Vec4 pDiffA = (iDS == 1) ? process[1].p()
                           : process[1].p() - process[3].p();
  Vec4 pDiffB = (iDS == 2) ? process[2].p()
                           : process[2].p() - process[4].p();
  RotBstMatrix MtoCM;
  MtoCM.fromCMframe( pDiffA, pDiffB);

  // Perform rotation and boost on diffractive system.
  for (int i = sizeProcess; i < process.size(); ++i)
    process[i].rotbst( MtoCM);
  int iFirst = (iHardLoop == 1) ? 5 + sizeEvent - sizeProcess : sizeEvent;
  if(isDiffC)  iFirst = 6 + sizeEvent - sizeProcess;
  for (int i = iFirst; i < event.size(); ++i)
    event[i].rotbst( MtoCM);

  // Restore cm energy.
  infoPtr->setECM( eCMsave);
  beamAPtr->newPzE( event[1].pz(), event[1].e());
  beamBPtr->newPzE( event[2].pz(), event[2].e());

  // Restore beam pointers to incoming hadrons.
  beamAPtr = beamHadAPtr;
  beamBPtr = beamHadBPtr;

  // Reassign beam pointers in other classes.
  timesPtr->reassignBeamPtrs( beamAPtr, beamBPtr, 0);
  spacePtr->reassignBeamPtrs( beamAPtr, beamBPtr, 0);
  remnants.reassignBeamPtrs(  beamAPtr, beamBPtr, 0);

  // Restore multiparton interactions pointer to default object.
  multiPtr = &multiMB;

}

//--------------------------------------------------------------------------

// Handle showers in successive resonance decays.

bool PartonLevel::resonanceShowers( Event& process, Event& event,
  bool skipForR) {

  // Prepare to start over from beginning for R-hadron decays.
  if (allowRH) {
    if (skipForR) {
      nHardDoneRHad = nHardDone;
      inRHadDecay.resize(0);
      for (int i = 0; i < process.size(); ++i)
        inRHadDecay.push_back( false);
    } else nHardDone = nHardDoneRHad;
  }

  // Isolate next system to be processed, if anything remains.
  int nRes    = 0;
  int nFSRres = 0;
  // Number of desired branchings, negative value means no restriction.
  int nBranchMax = (doTrial) ? nTrialEmissions : -1;
  // Vector to tell which junctions have already been copied
  vector iJunCopied;

  while (nHardDone < process.size()) {
    ++nRes;
    int iBegin = nHardDone;

    // In first call (skipForR = true) skip over resonances
    // that should form R-hadrons, and their daughters.
    if (allowRH) {
      if (skipForR) {
        bool comesFromR = false;
        int iTraceUp = iBegin;
        do {
          if ( rHadronsPtr->givesRHadron(process[iTraceUp].id()) )
            comesFromR = true;
          iTraceUp = process[iTraceUp].mother1();
        } while (iTraceUp > 0 && !comesFromR);
        if (comesFromR) {
          inRHadDecay[iBegin] = true;
          ++nHardDone;
          continue;
        }

      // In optional second call (skipForR = false) process decay chains
      // inside R-hadrons.
      } else if (!inRHadDecay[iBegin]) {
        ++nHardDone;
        continue;
      }
    }

    // Mother in hard process and in complete event (after shower).
    int iHardMother      = process[iBegin].mother1();
    Particle& hardMother = process[iHardMother];
    int iBefMother       = iPosBefShow[iHardMother];
    int iAftMother       = event.iBotCopyId(iBefMother);
    // Possibly trace across intermediate R-hadron state.
    if (allowRH) {
      int iTraceRHadron    = rHadronsPtr->trace( iAftMother);
      if (iTraceRHadron > 0) iAftMother = iTraceRHadron;
    }
    Particle& aftMother  = event[iAftMother];

    // From now on mother counts as decayed.
    aftMother.statusNeg();

    // Mother can have been moved by showering (in any of previous steps),
    // so prepare to update colour and momentum information for system.
    int colBef  = hardMother.col();
    int acolBef = hardMother.acol();
    int colAft  = aftMother.col();
    int acolAft = aftMother.acol();
    RotBstMatrix M;
    M.bst( hardMother.p(), aftMother.p());

    // Extract next partons from hard event into normal event record.
    vector doCopyJun;
    for (int i = iBegin; i < process.size(); ++i) {
      if (process[i].mother1() != iHardMother) break;
      int iNow = event.append( process[i] );
      iPosBefShow[i] = iNow;
      Particle& now = event.back();

      // Currently outgoing ones should not count as decayed.
      if (now.status() == -22) {
        now.statusPos();
        now.daughters(0, 0);
      }
      
      // Update daughter and mother information.
      if (i == iBegin) event[iAftMother].daughter1( iNow);
      else             event[iAftMother].daughter2( iNow);
      now.mother1(iAftMother);

      // Check if this parton carries a junction color in hard event.
      for (int iJun = 0; iJun < process.sizeJunction(); ++iJun) {
        if (iJun >= int(doCopyJun.size())) doCopyJun.push_back(false);
        // Only consider junctions that can appear in decays.
        int kindJunction = process.kindJunction(iJun);
        if (kindJunction >= 5) continue;
        int col = (kindJunction % 2 == 1) ? now.col() : now.acol();
        int iLegF1 = (kindJunction - 1) / 2;
        for (int iLeg = iLegF1; iLeg <= 2; ++iLeg)
        if (col == process.colJunction(iJun,iLeg)) doCopyJun[iJun] = true;
      }
  
      // Update colour and momentum information.
      if (now.col() == colBef) now.col( colAft);
      if (now.acol() == acolBef) now.acol( acolAft);
      now.rotbst( M);

      // Update vertex information.
      if (now.hasVertex()) now.vProd( event[iAftMother].vDec() );

      // Complete task of copying next subsystem into event record.
      ++nHardDone;
    }
    int iEnd = nHardDone - 1;

    // Copy down junctions from hard event into normal event record.
    for (int iJun = 0; iJun < int(doCopyJun.size()); ++iJun) {
      // Check if this junction was already copied
      for (int jJun = 0; jJun < int(iJunCopied.size()); ++jJun)
        if (iJunCopied[jJun] == iJun) doCopyJun[iJun] = false;
      // Skip if not doing anything
      if (!doCopyJun[iJun]) continue;
      // Check for changed colors and update as necessary.
      Junction junCopy = process.getJunction(iJun);
      for (int iLeg = 0; iLeg <= 2; ++iLeg) {
        int colLeg = junCopy.col(iLeg);
        if (colLeg == colBef) junCopy.col(iLeg, colAft);
        if (colLeg == acolBef) junCopy.col(iLeg, acolAft);
      }
      event.appendJunction(junCopy);
      // Mark junction as copied (to avoid later recopying)
      iJunCopied.push_back(iJun);
    }

    // Reset pT of last branching
    pTLastBranch = 0.0;

    // Add new system, automatically with two empty beam slots.
    int iSys = partonSystemsPtr->addSys();
    partonSystemsPtr->setSHat(iSys, pow2(hardMother.m()) );
    partonSystemsPtr->setPTHat(iSys, 0.5 * hardMother.m() );
    
    // Loop over allowed range to find all final-state particles.
    for (int i = iPosBefShow[iBegin]; i <= iPosBefShow[iEnd]; ++i)
    if (event[i].isFinal()) partonSystemsPtr->addOut( iSys, i);

    // Do parton showers inside subsystem: maximum scale by mother mass.
    if (doFSRinResonances) {
      double pTmax = 0.5 * hardMother.m();
      if (canSetScale) pTmax
        = userHooksPtr->scaleResonance( iAftMother, event);
      nFSRhard     = 0;

      // Set correct scale for trial showers.
      if (doTrial) pTmax = process.scale();

      // Let prepare routine do the setup.
      timesDecPtr->prepare( iSys, event);

       // Number of actual branchings
      int nBranch = 0;

      // Set up initial veto scale.
      doVeto        = false;
      double pTveto = pTvetoPT;

      // Begin evolution down in pT from hard pT scale.
      do {
        typeVetoStep = 0;
        double pTtimes = timesDecPtr->pTnext( event, pTmax, 0.);

        // Allow a user veto. Only do it once, so remember to change pTveto.
        if (pTveto > 0. && pTveto > pTtimes) {
          pTveto = -1.;
          doVeto = userHooksPtr->doVetoPT( 5, event);
          // Abort event if vetoed.
          if (doVeto) return false;
        }

        // Do a final-state emission (if allowed).
        if (pTtimes > 0.) {
          if (timesDecPtr->branch( event)) {
            ++nFSRres;
            ++nFSRhard;
            if (canVetoStep && nFSRhard <= nVetoStep) typeVetoStep = 5;

            nBranch++;
            pTLastBranch = pTtimes;
            typeLastBranch = 5;

          }
          pTmax = pTtimes;
        }
    
        // If no pT scales above zero then nothing to be done.
        else pTmax = 0.;

        // Optionally check for a veto after the first few emissions.
        if (typeVetoStep > 0) {
          doVeto = userHooksPtr->doVetoStep( typeVetoStep, 0, nFSRhard,
            event);
          // Abort event if vetoed.
          if (doVeto) return false;
        }

        // Handle potential merging veto.
        if ( canRemoveEvent && nFSRhard == 1 ) {
          // Simply check, and possibly reset weights.
          mergingHooksPtr->doVetoStep( process, event, true );
        }

      // Keep on evolving until nothing is left to be done.
      } while (pTmax > 0.  && (nBranchMax <= 0 || nBranch < nBranchMax) );

    }

  // No more systems to be processed. Set total number of emissions.
  }
  if (skipForR) nFSRinRes = nFSRres;
  return true;

}

//--------------------------------------------------------------------------

// Perform decays and showers of W and Z emitted in shower.

bool PartonLevel::wzDecayShowers( Event& event) {

  // Identify W/Z produced by a parton shower.
  for (int iWZ = 0; iWZ < event.size(); ++iWZ)
  if (event[iWZ].isFinal()
    && (event[iWZ].id() == 23 || event[iWZ].idAbs() == 24) ) {
    int iWZtop = event[iWZ].iTopCopy();
    int typeWZ = 0;
    if (event[iWZtop].statusAbs() == 56) typeWZ = 1;
    if (event[iWZtop].statusAbs() == 47) typeWZ = 2;
    int sizeSave = event.size();

    // Map id_Z = 23 -> 93 and id_W = 24 -> 94, for separate decay settings.
    // Let W/Z resonance decay. Restore correct identity and status codes.
    if (typeWZ > 0) {
      int idSave     = event[iWZ].id();
      event[iWZ].id( (idSave > 0) ? idSave + 70 : idSave - 70);
      int statusSave = event[iWZ].status();
      resonanceDecays.next( event, iWZ);
      event[iWZ].id( idSave);
      if (event.size() - sizeSave != 2) return true;
      event[iWZ].status( -statusSave);
    }

    // FSR decays.
    if (typeWZ == 1) {

      // Identify fermion after W/Z emission.
      vector  iSisters = event[iWZtop].sisterList();
      if (iSisters.size() != 1) {
        infoPtr->errorMsg("Error in PartonLevel::wzDecayShowers: "
          "Not able to find a single sister particle");
        return false;
      }
      int iEmitter = iSisters[0];

      // Boosts to study decay in W/Z rest frame.
      RotBstMatrix MtoNew, MtoRest, MtoCM;
      MtoNew.bst( event[iWZtop].p(), event[iWZ].p());
      MtoRest.bstback( event[iWZ].p());
      MtoCM.bst( event[iWZ].p());

      // Emitter and recoiler in W/Z rest frame.
      Vec4 pEmitter = event[iEmitter].p();
      pEmitter.rotbst( MtoNew);
      pEmitter.rotbst( MtoRest);
      if (event[iWZtop + 1].statusAbs() != 52) {
        infoPtr->errorMsg("Error in PartonLevel::wzDecayShowers: "
          "Found wrong recoiler");
        return false;
      }
      Vec4 pRecoiler = event[iWZtop + 1].p();
      pRecoiler.rotbst( MtoNew);
      pRecoiler.rotbst( MtoRest);
      Vec4 pWZRest = event[iWZ].p();
      pWZRest.rotbst( MtoRest);

      // Always choose p4 as the particle and p5 as the anti-particle.
      Vec4 p4 = pEmitter;
      Vec4 p5 = pRecoiler;
      if (event[iEmitter].id() < 0) swap( p4, p5);

      // Decay daughters in W/Z rest frame.
      // Always choose pDec1 as the particle and p2Dec as the anti-particle.
      Vec4 pDec1 = event[sizeSave].p();
      Vec4 pDec2 = event[sizeSave + 1].p();
      if (event[sizeSave].id() < 0) swap( pDec1, pDec2);
      pDec1.rotbst( MtoRest);
      pDec2.rotbst( MtoRest);

      // Couplings.
      double li2, ri2, lf2, rf2;
      // Z couplings: make use of initial fermion polarization if set.
      if (event[iWZ].id() == 23) {
        li2 = pow2(couplingsPtr->lf( event[iEmitter].idAbs() ));
        ri2 = pow2(couplingsPtr->rf( event[iEmitter].idAbs() ));
        lf2 = pow2(couplingsPtr->lf( event[sizeSave].idAbs() ));
        rf2 = pow2(couplingsPtr->rf( event[sizeSave].idAbs() ));
        if ( abs( event[iEmitter].pol() + 1.) < 0.1) ri2 = 0.;
        if ( abs( event[iEmitter].pol() - 1.) < 0.1) li2 = 0.;
      // W couplings.
      } else {
        li2 = 1.;
        ri2 = 0.;
        lf2 = 1.;
        rf2 = 0.;
      }

      // Different needed kinematic variables.
      double sWZER = (p4 + pWZRest + p5).m2Calc();
      double x1    = 2. * p4 * (p4 + pWZRest + p5) / sWZER;
      double x2    = 2. * p5 * (p4 + pWZRest + p5) / sWZER;
      double x1s   = x1 * x1;
      double x2s   = x2 * x2;
      double m2Sel = pWZRest.m2Calc();
      double rWZER = m2Sel / sWZER;

      // Calculate constants needed in correction.
      double con[9];
      con[0] = 2. * m2Sel * (1.-x1) * ((x2s+1.-x1-x2) - rWZER * (1.-x2))
             * (li2 * lf2 + ri2 * rf2);
      con[1] = 2. * m2Sel * (1.-x2) * ((x1s+1.-x1-x2) - rWZER * (1.-x1))
             * (li2 * rf2 + ri2 * lf2);
      con[2] = 2. * m2Sel * (1.-x1) * ((x2s+1.-x1-x2) - rWZER * (1.-x2))
             * (li2 * rf2 + ri2 * lf2);
      con[3] = 2. * m2Sel * (1.-x2) * ((x1s+1.-x1-x2) - rWZER * (1.-x1))
             * (li2 * lf2 + ri2 * rf2);
      con[4] = m2Sel * sWZER * (1.-x1) * (1.-x2) * ((x1+x2-1.) + rWZER)
             * (li2 + ri2) * (lf2 + rf2);
      con[5] = -4. * (1.-x1) * (1.-x2) * (li2 + ri2) * (lf2 + rf2);
      con[6] = -4. * (1.-x1) * (1.-x2) * (li2 + ri2) * (lf2 + rf2);
      con[7] = 4. * (1.-x1) * ((1.-x1) - rWZER * (1.-x2))
             * (li2 + ri2) * (lf2 + rf2);
      con[8] = 4. * (1.-x2) * ((1.-x2) - rWZER * (1.-x1))
             * (li2 + ri2) * (lf2 + rf2);

      // Find maximum value: try pDec1 and pDec2 = -pDec1 along +-x, +-y, +-z.
      double wtMax  = 0.;
      double pAbs12 = pDec1.pAbs();
      for (int j = 0; j < 6; ++j) {
        Vec4 pDec1Test( 0., 0., 0., pDec1.e());
        Vec4 pDec2Test( 0., 0., 0., pDec2.e());
        if      (j == 0) { pDec1Test.px(  pAbs12);  pDec1Test.px( -pAbs12);}
        else if (j == 1) { pDec1Test.px( -pAbs12);  pDec1Test.px(  pAbs12);}
        else if (j == 2) { pDec1Test.py(  pAbs12);  pDec1Test.py( -pAbs12);}
        else if (j == 3) { pDec1Test.py( -pAbs12);  pDec1Test.py(  pAbs12);}
        else if (j == 4) { pDec1Test.pz(  pAbs12);  pDec1Test.pz( -pAbs12);}
        else if (j == 5) { pDec1Test.pz( -pAbs12);  pDec1Test.pz(  pAbs12);}

        // Evaluate matrix element and compare with current maximum.
        double p2p4Test = p4 * pDec1Test;
        double p3p4Test = p4 * pDec2Test;
        double p2p5Test = p5 * pDec1Test;
        double p3p5Test = p5 * pDec2Test;
        double testValues[9] = { p2p4Test, p2p5Test, p3p4Test, p3p5Test, 1.,
          p2p5Test * p3p4Test, p2p4Test * p3p5Test, p2p4Test * p3p4Test,
          p2p5Test * p3p5Test};
        double wtTest = 0.;
        for (int i = 0; i < 9; ++i) wtTest += con[i] * testValues[i];
        if (wtTest > wtMax) wtMax = wtTest;
      }

      // Multiply by four to ensure maximum is an overestimate.
      wtMax *= 4.;

      // Iterate with new angles until weighting succeeds.
      int nRot = -1;
      double wt = 0.;
      do {
        ++nRot;
        if (nRot > 0) {
          RotBstMatrix MrndmRot;
          MrndmRot.rot( acos(2. * rndmPtr->flat() - 1.),
            2. * M_PI * rndmPtr->flat());
          pDec1.rotbst(MrndmRot);
          pDec2.rotbst(MrndmRot);
        }

        // p2 is decay product, p3 is anti decay product,
        // p4 is dipole particle, p5 is dipole anti particle.
        // So far assumed that we always have qQ-dipole.
        double p2p4 = p4 * pDec1;
        double p3p4 = p4 * pDec2;
        double p2p5 = p5 * pDec1;
        double p3p5 = p5 * pDec2;

        // Calculate weight and compare with maximum weight.
        double wtValues[9] = { p2p4, p2p5, p3p4, p3p5, 1., p2p5 * p3p4,
          p2p4 * p3p5, p2p4 * p3p4, p2p5 * p3p5};
        wt =  0.;
        for (int i = 0; i < 9; ++i) wt += con[i] * wtValues[i];
        if (wt > wtMax || wt < 0.) {
          infoPtr->errorMsg("Error in PartonLevel::wzDecayShowers: "
          "wt bigger than wtMax or less than zero");
          return false;
        }
      } while (wt < wtMax * rndmPtr->flat());

      // If momenta rotated then store new ones.
      if (nRot > 0) {
        pDec1.rotbst( MtoCM);
        pDec2.rotbst( MtoCM);
        if (event[sizeSave].id() > 0) {
          event[sizeSave].p( pDec1);
          event[sizeSave + 1].p( pDec2);
        }
        else {
          event[sizeSave].p( pDec2);
          event[sizeSave + 1].p( pDec1);
        }
      }
    }

    // ISR decays.
    if (typeWZ == 2) {

      // Identify mother of W/Z emission.
      double iMother = event[iWZtop].mother1();

      // Boosts to study decay in W/Z rest frame.
      RotBstMatrix MtoNew, MtoRest, MtoCM;
      MtoNew.bst( event[iWZtop].p(), event[iWZ].p());
      MtoRest.bstback( event[iWZ].p());
      MtoCM.bst( event[iWZ].p());
        
      // Find recoiler.
      int iRecoiler;
      if (event[iMother + 1].statusAbs() == 42) iRecoiler = iMother + 1;
      else if (event[iMother - 1].statusAbs() == 42) iRecoiler = iMother - 1;
      else {
        infoPtr->errorMsg("Error in PartonLevel::wzDecayShowers: "
          "Found wrong recoiler");
        return false;
      }

      // Emitter and recoiler in W/Z rest frame.
      Vec4 pMother = event[iMother].p();
      pMother.rotbst( MtoNew);
      pMother.rotbst( MtoRest);
      Vec4 pRecoiler = event[iRecoiler].p();
      pRecoiler.rotbst( MtoNew);
      pRecoiler.rotbst( MtoRest);
      Vec4 pWZRest = event[iWZ].p();
      pWZRest.rotbst( MtoRest);
        
      // Always choose p1 as the particle and p2 as the anti-particle.
      // If no anti-particles just continue.
      Vec4 p1 = pMother;
      Vec4 p2 = pRecoiler;
      if (event[iMother].id() < 0) swap( p1, p2);

      // Decay daughters in W/Z rest frame.
      // Always choose pDec1 as the particle and p2Dec as the anti-particle.
      Vec4 pDec1 = event[sizeSave].p();
      Vec4 pDec2 = event[sizeSave + 1].p();
      if (event[sizeSave].id() < 0) swap( pDec1, pDec2);
      pDec1.rotbst( MtoRest);
      pDec2.rotbst( MtoRest);
        
      // Couplings.
      double li2, ri2, lf2, rf2;
      // Z couplings: make use of initial fermion polarization if set.
      if (event[iWZ].id() == 23) {
        li2 = pow2(couplingsPtr->lf( event[iMother].idAbs() ));
        ri2 = pow2(couplingsPtr->rf( event[iMother].idAbs() ));
        lf2 = pow2(couplingsPtr->lf( event[sizeSave].idAbs() ));
        rf2 = pow2(couplingsPtr->rf( event[sizeSave].idAbs() ));
        if ( abs( event[iMother].pol() + 1.) < 0.1) ri2 = 0.;
        if ( abs( event[iMother].pol() - 1.) < 0.1) li2 = 0.;
      // W couplings.
      } else {
        li2 = 1.;
        ri2 = 0.;
        lf2 = 1.;
        rf2 = 0.;
      }

      // Different needed kinematic variables.
      double s = (p1 + p2).m2Calc();
      double t = (p1-pWZRest).m2Calc();
      double u = (p2-pWZRest).m2Calc();
      double m2Sel = pWZRest.m2Calc();
      double m2Final = t + u + s - m2Sel;

      // Calculate constants needed in correction.
      double con[9];
      con[0] = 2. * m2Sel * (u * (1. - m2Final / t) + s)
        * (li2 * rf2 + ri2 * lf2);
      con[1] = 2. * m2Sel * (u * (1. - m2Final / t) + s)
        * (li2 * lf2 + ri2 * rf2);
      con[2] = 2. * m2Sel * (t * (1. - m2Final / u) + s)
        * (li2 * lf2 + ri2 * rf2);
      con[3] = 2. * m2Sel * (t * (1. - m2Final / u) + s)
        * (li2 * rf2 + ri2 * lf2);
      con[4] = m2Sel * m2Final * s * (li2 + ri2) * (lf2 + rf2);
      con[5] = -4. * m2Final * (li2 + ri2) * (lf2 + rf2);
      con[6] = -4. * m2Final * (li2 + ri2) * (lf2 + rf2);
      con[7] = 4. * (m2Final * u / t - m2Sel) * (li2 + ri2) * (lf2 + rf2);
      con[8] = 4. * (m2Final * t / u - m2Sel) * (li2 + ri2) * (lf2 + rf2);

      // Find maximum value: try pDec1 and pDec2 = -pDec1 along +-x, +-y, +-z.
      double wtMax  = 0.;
      double pAbs12 = pDec1.pAbs();
      for (int j = 0; j < 6; ++j) {
        Vec4 pDec1Test( 0., 0., 0., pDec1.e());
        Vec4 pDec2Test( 0., 0., 0., pDec2.e());
        if      (j == 0) { pDec1Test.px(  pAbs12);  pDec1Test.px( -pAbs12);}
        else if (j == 1) { pDec1Test.px( -pAbs12);  pDec1Test.px(  pAbs12);}
        else if (j == 2) { pDec1Test.py(  pAbs12);  pDec1Test.py( -pAbs12);}
        else if (j == 3) { pDec1Test.py( -pAbs12);  pDec1Test.py(  pAbs12);}
        else if (j == 4) { pDec1Test.pz(  pAbs12);  pDec1Test.pz( -pAbs12);}
        else if (j == 5) { pDec1Test.pz( -pAbs12);  pDec1Test.pz(  pAbs12);}
  
        // Evaluate matrix element and compare with current maximum.
        double p1p4Test = p1 * pDec1Test;
        double p1p5Test = p1 * pDec2Test;
        double p2p4Test = p2 * pDec1Test;
        double p2p5Test = p2 * pDec2Test;
        double testValues[9] = { p1p4Test, p1p5Test, p2p4Test, p2p5Test, 1.,
          p1p4Test * p2p5Test, p1p5Test * p2p4Test, p1p4Test * p1p5Test,
          p2p4Test * p2p5Test};
        double wtTest = 0.;
        for (int i = 0; i < 9; ++i) wtTest += con[i] * testValues[i];
        if (wtTest > wtMax) wtMax = wtTest;
      }
        
      // Multiply by four to ensure maximum is an overestimate.
      wtMax *= 4.;
        
      // Iterate with new angles until weighting succeeds.
      int nRot = -1;
      double wt = 0.;
      do {
        ++nRot;
        if (nRot > 0) {
          RotBstMatrix MrndmRot;
          MrndmRot.rot( acos(2. * rndmPtr->flat() - 1.),
            2. * M_PI * rndmPtr->flat());
          pDec1.rotbst(MrndmRot);
          pDec2.rotbst(MrndmRot);
        }
          
        // p2 is decay product, p3 is anti decay product,
        // p4 is dipole particle, p5 is dipole anti particle.
        // So far assumed that we always have qQ-dipole.
        double p1p4 = p1 * pDec1;
        double p1p5 = p1 * pDec2;
        double p2p4 = p2 * pDec1;
        double p2p5 = p2 * pDec2;

        // Calculate weight and compare with maximum weight.
        double wtValues[9] = { p1p4, p1p5, p2p4, p2p5, 1., p1p4 * p2p5,
          p1p5 * p2p4, p1p4 * p1p5, p2p4 * p2p5};
        wt =  0.;
        for (int i = 0; i < 9; ++i) wt += con[i] * wtValues[i];
        if (wt > wtMax || wt < 0.) {
          infoPtr->errorMsg("Error in PartonLevel::wzDecayShowers: "
            "wt bigger than wtMax or less than zero");
          return false;
        }
      } while (wt < wtMax * rndmPtr->flat());

      // If momenta rotated then store new ones.
      if (nRot > 0) {
        pDec1.rotbst( MtoCM);
        pDec2.rotbst( MtoCM);
        if (event[sizeSave].id() > 0) {
          event[sizeSave].p( pDec1);
          event[sizeSave + 1].p( pDec2);
        }
        else {
          event[sizeSave].p( pDec2);
          event[sizeSave + 1].p( pDec1);
        }
      }
    }

    // Add new system, automatically with two empty beam slots.
    if (typeWZ > 0) {
      // Maximum shower scale set by mother mass.
      double pTmax = 0.5 * event[iWZ].m();
      int iSys = partonSystemsPtr->addSys();
      partonSystemsPtr->setSHat(iSys, pow2(event[iWZ].m()) );
      partonSystemsPtr->setPTHat(iSys, pTmax );
      for (int i = sizeSave; i < event.size(); ++i)
        partonSystemsPtr->addOut( iSys, i);
        
      // Do parton showers inside subsystem.
      if (doFSRinResonances) {
          
        // Let prepare routine do the setup.
        timesDecPtr->prepare( iSys, event);
     
        // Begin evolution down in pT from hard pT scale.
        do {
          double pTtimes = timesDecPtr->pTnext( event, pTmax, 0.);
            
          // Do a final-state emission (if allowed).
          if (pTtimes > 0.) {
            timesDecPtr->branch( event);
            pTmax = pTtimes;
          }
    
          // If no pT scales above zero then nothing to be done.
          else pTmax = 0.;
    
          // Keep on evolving until nothing is left to be done.
        } while (pTmax > 0.);
      }
    }

  // End loop over event to find W/Z gauge bosons.
  }

  // Done.
  return true;

}
 
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/StandardModel.cc0000644000175000017500000005051712357054765016204 0ustar  sunsun// StandardModel.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the AlphaStrong class.

#include "Pythia8/StandardModel.h"

namespace Pythia8 {

//==========================================================================

// The AlphaStrong class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of iterations to determine Lambda from given alpha_s.
const int AlphaStrong::NITER           = 10;

// Masses: m_c, m_b, m_t, m_Z.
// Used for flavour thresholds and normalization scale.
const double AlphaStrong::MC           = 1.5;
const double AlphaStrong::MB           = 4.8;
const double AlphaStrong::MT           = 171.0;
const double AlphaStrong::MZ           = 91.188;

// Always evaluate running alpha_s above Lambda3 to avoid disaster.
// Safety margin picked to freeze roughly for alpha_s = 10.
const double AlphaStrong::SAFETYMARGIN1 = 1.07;
const double AlphaStrong::SAFETYMARGIN2 = 1.33;

// CMW factor for 3, 4, 5, and 6 flavours.
const double AlphaStrong::FACCMW3         = 1.661;
const double AlphaStrong::FACCMW4         = 1.618;
const double AlphaStrong::FACCMW5         = 1.569;
const double AlphaStrong::FACCMW6         = 1.513;

//--------------------------------------------------------------------------

// Initialize alpha_strong calculation by finding Lambda values etc.

void AlphaStrong::init( double valueIn, int orderIn, int nfmaxIn,
  bool useCMWIn) {

  // Order of alpha_s evaluation.Default values.
  valueRef = valueIn;
  order    = max( 0, min( 2, orderIn ) );
  nfmax    = max(5,min(6,nfmaxIn));
  useCMW   = useCMWIn;
  lastCallToFull = false;
  Lambda3Save = Lambda4Save = Lambda5Save = Lambda6Save = scale2Min = 0.;

  // Fix alpha_s.
  if (order == 0) {

  // First order alpha_s: match at flavour thresholds.
  } else if (order == 1) {
    Lambda5Save = MZ * exp( -6. * M_PI / (23. * valueRef) );
    Lambda6Save = Lambda5Save * pow(Lambda5Save/MT, 2./21.);
    Lambda4Save = Lambda5Save * pow(MB/Lambda5Save, 2./25.);
    Lambda3Save = Lambda4Save * pow(MC/Lambda4Save, 2./27.);

  // Second order alpha_s: iterative match at flavour thresholds.
  } else {
    // The one-loop coefficients: b1 / b0^2
    double b16 = 234. / 441.;
    double b15 = 348. / 529.;
    double b14 = 462. / 625.;
    double b13 = 576. / 729.;
    // The two-loop coefficients: b2 * b0 / b1^2
    double b26 = -36855. / 109512.;
    double b25 = 224687. / 242208.;
    double b24 = 548575. / 426888.;
    double b23 = 938709. / 663552.;

    double logScale, loglogScale, correction, valueIter;
    // Find Lambda_5 at m_Z.
    Lambda5Save = MZ * exp( -6. * M_PI / (23. * valueRef) );
    for (int iter = 0; iter < NITER; ++iter) {
      logScale    = 2. * log(MZ/Lambda5Save);
      loglogScale = log(logScale);
      correction  = 1. - b15 * loglogScale / logScale
        + pow2(b15 / logScale) * (pow2(loglogScale - 0.5) + b25 - 1.25);
      valueIter   = valueRef / correction;
      Lambda5Save = MZ * exp( -6. * M_PI / (23. * valueIter) );
    }

    // Find Lambda_6 at m_t.
    double logScaleT    = 2. * log(MT/Lambda5Save);
    double loglogScaleT = log(logScaleT);
    double valueT       = 12. * M_PI / (21. * logScaleT)
      * (1. - b16 * loglogScaleT / logScaleT
        + pow2(b16 / logScaleT) * (pow2(loglogScaleT - 0.5) + b26 - 1.25) );
    Lambda6Save         = Lambda5Save;
    for (int iter = 0; iter < NITER; ++iter) {
      logScale    = 2. * log(MT/Lambda6Save);
      loglogScale = log(logScale);
      correction  = 1. - b15 * loglogScale / logScale
        + pow2(b15 / logScale) * (pow2(loglogScale - 0.5) + b25 - 1.25);
      valueIter   = valueT / correction;
      Lambda6Save = MT * exp( -6. * M_PI / (21. * valueIter) );
    }

    // Find Lambda_4 at m_b.
    double logScaleB    = 2. * log(MB/Lambda5Save);
    double loglogScaleB = log(logScaleB);
    double valueB       = 12. * M_PI / (23. * logScaleB)
      * (1. - b15 * loglogScaleB / logScaleB
        + pow2(b15 / logScaleB) * (pow2(loglogScaleB - 0.5) + b25- 1.25) );
    Lambda4Save         = Lambda5Save;
    for (int iter = 0; iter < NITER; ++iter) {
      logScale    = 2. * log(MB/Lambda4Save);
      loglogScale = log(logScale);
      correction  = 1. - b14 * loglogScale / logScale
        + pow2(b14 / logScale) * (pow2(loglogScale - 0.5) + b24 - 1.25);
      valueIter   = valueB / correction;
      Lambda4Save = MB * exp( -6. * M_PI / (25. * valueIter) );
    }
    // Find Lambda_3 at m_c.
    double logScaleC    = 2. * log(MC/Lambda4Save);
    double loglogScaleC = log(logScaleC);
    double valueC       = 12. * M_PI / (25. * logScaleC)
      * (1. - b14 * loglogScaleC / logScaleC
        + pow2(b14 / logScaleC) * (pow2(loglogScaleC - 0.5) + b24 - 1.25) );
    Lambda3Save = Lambda4Save;
    for (int iter = 0; iter < NITER; ++iter) {
      logScale    = 2. * log(MC/Lambda3Save);
      loglogScale = log(logScale);
      correction  = 1. - b13 * loglogScale / logScale
        + pow2(b13 / logScale) * (pow2(loglogScale - 0.5) + b23 - 1.25);
      valueIter   = valueC / correction;
      Lambda3Save = MC * exp( -6. * M_PI / (27. * valueIter) );
    }
  }

  // Optionally rescale Lambda values by CMW factor.
  if (useCMW) {
    Lambda3Save *= FACCMW3;
    Lambda4Save *= FACCMW4;
    Lambda5Save *= FACCMW5;
    Lambda6Save *= FACCMW6;
  }

  // Impose SAFETYMARGINs to prevent getting too close to LambdaQCD.
  if (order == 1) scale2Min = pow2(SAFETYMARGIN1 * Lambda3Save);
  else if (order == 2) scale2Min = pow2(SAFETYMARGIN2 * Lambda3Save);

  // Save squares of mass and Lambda values as well.
  Lambda3Save2 = pow2(Lambda3Save);
  Lambda4Save2 = pow2(Lambda4Save);
  Lambda5Save2 = pow2(Lambda5Save);
  Lambda6Save2 = pow2(Lambda6Save);
  mc2          = pow2(MC);
  mb2          = pow2(MB);
  mt2          = pow2(MT);
  valueNow     = valueIn;
  scale2Now    = MZ * MZ;
  isInit       = true;

}

//--------------------------------------------------------------------------

// Calculate alpha_s value.

double AlphaStrong::alphaS( double scale2) {

  // Check for initialization and ensure minimal scale2 value.
  if (!isInit) return 0.;
  if (scale2 < scale2Min) scale2 = scale2Min;

  // If equal to old scale then same answer.
  if (scale2 == scale2Now && (order < 2 || lastCallToFull)) return valueNow;
  scale2Now      = scale2;
  lastCallToFull = true;

  // Fix alpha_s.
  if (order == 0) {
    valueNow = valueRef;
  
  // First order alpha_s: differs by mass region.
  } else if (order == 1) {
    if (scale2 > mt2 && nfmax >= 6)
         valueNow = 12. * M_PI / (21. * log(scale2/Lambda6Save2));
    else if (scale2 > mb2)
         valueNow = 12. * M_PI / (23. * log(scale2/Lambda5Save2));
    else if (scale2 > mc2)
         valueNow = 12. * M_PI / (25. * log(scale2/Lambda4Save2));
    else valueNow = 12. * M_PI / (27. * log(scale2/Lambda3Save2));
  
  // Second order alpha_s: differs by mass region.
  } else {
    double Lambda2, b0, b1, b2;
    if (scale2 > mt2 && nfmax >= 6) {
      Lambda2 = Lambda6Save2;
      b0      = 21.;
      b1      = 234. / 441.;
      b2      = -36855. / 109512.;
    } else if (scale2 > mb2) {
      Lambda2 = Lambda5Save2;
      b0      = 23.;
      b1      = 348. / 529.;
      b2      = 224687. / 242208.;
    } else if (scale2 > mc2) {
      Lambda2 = Lambda4Save2;
      b0      = 25.;
      b1      = 462. / 625.;
      b2      = 548575. / 426888.;
    } else {
      Lambda2 = Lambda3Save2;
      b0      = 27.;
      b1      = 64. / 81.;
      b2      = 938709. / 663552.;
    }
    double logScale    = log(scale2/Lambda2);
    double loglogScale = log(logScale);
    valueNow = 12. * M_PI / (b0 * logScale)
      * ( 1. - b1 * loglogScale / logScale
        + pow2(b1 / logScale) * (pow2(loglogScale - 0.5) + b2 - 1.25) );
  }

  // Done.
  return valueNow;

}

//--------------------------------------------------------------------------

// Calculate alpha_s value, but only use up to first-order piece.
// (To be combined with alphaS2OrdCorr.)

double  AlphaStrong::alphaS1Ord( double scale2) {

  // Check for initialization and ensure minimal scale2 value.
  if (!isInit) return 0.;
  if (scale2 < scale2Min) scale2 = scale2Min;

  // If equal to old scale then same answer.
  if (scale2 == scale2Now && (order < 2 || !lastCallToFull)) return valueNow;
  scale2Now      = scale2;
  lastCallToFull = false;

  // Fix alpha_S.
  if (order == 0) {
    valueNow = valueRef;
  
  // First/second order alpha_s: differs by mass region.
  } else {
    if (scale2 > mt2 && nfmax >= 6)
         valueNow = 12. * M_PI / (21. * log(scale2/Lambda6Save2));
    else if (scale2 > mb2)
         valueNow = 12. * M_PI / (23. * log(scale2/Lambda5Save2));
    else if (scale2 > mc2)
         valueNow = 12. * M_PI / (25. * log(scale2/Lambda4Save2));
    else valueNow = 12. * M_PI / (27. * log(scale2/Lambda3Save2));
  }

  // Done.
  return valueNow;
}

//--------------------------------------------------------------------------

// Calculates the second-order extra factor in alpha_s.
// (To be combined with alphaS1Ord.)

double AlphaStrong::alphaS2OrdCorr( double scale2) {

  // Check for initialization and ensure minimal scale2 value.
  if (!isInit) return 1.;
  if (scale2 < scale2Min) scale2 = scale2Min;

  // Only meaningful for second-order calculations.
  if (order < 2) return 1.;
  
  // Second order correction term: differs by mass region.
  double Lambda2, b1, b2;
  if (scale2 > mt2 && nfmax >= 6) {
    Lambda2 = Lambda6Save2;
    b1      = 234. / 441.;
    b2      = -36855. / 109512.;
  } else if (scale2 > mb2) {
    Lambda2 = Lambda5Save2;
    b1      = 348. / 529.;
    b2      = 224687. / 242208.;
  } else if (scale2 > mc2) {
    Lambda2 = Lambda4Save2;
    b1      = 462. / 625.;
    b2      = 548575. / 426888.;
  } else {
    Lambda2 = Lambda3Save2;
    b1      = 64. / 81.;
    b2      = 938709. / 663552.;
  }
  double logScale    = log(scale2/Lambda2);
  double loglogScale = log(logScale);
  return ( 1. - b1 * loglogScale / logScale
    + pow2(b1 / logScale) * (pow2(loglogScale - 0.5) + b2 - 1.25) );

}

//--------------------------------------------------------------------------

// muThres(2): tell what values of flavour thresholds are being used.

double AlphaStrong::muThres( int idQ) {
  int idAbs = abs(idQ);
  // Return the scale of each flavour threshold included in running.
  if (idAbs == 4) return MC;
  else if (idAbs == 5) return MB;
  else if (idAbs == 6 && nfmax >= 6) return MT;
  // Else return -1 (indicates no such threshold is included in running).
  return -1.;
}

double AlphaStrong::muThres2( int idQ) {
  int idAbs = abs(idQ);
  // Return the scale of each flavour threshold included in running.
  if (idAbs == 4) return mc2;
  else if (idAbs == 5) return mb2;
  else if (idAbs == 6 && nfmax >=6) return mt2;
  // Else return -1 (indicates no such threshold is included in running).
  return -1.;
}

//--------------------------------------------------------------------------

// facCMW: tells what values of the CMW factors are being used (if any).

double AlphaStrong::facCMW( int NFIn) {
  // Return unity if we are not doing CMW rescaling..
  if (!isInit || !useCMW) return 1.0;
  // Else return the NF-dependent value of the CMW rescaling factor.
  else if (NFIn <= 3) return FACCMW3;
  else if (NFIn == 4) return FACCMW4;
  else if (NFIn == 5) return FACCMW5;
  else return FACCMW6;
}

//==========================================================================

// The AlphaEM class.

//--------------------------------------------------------------------------

// Definitions of static variables.

// Z0 mass. Used for normalization scale.
const double AlphaEM::MZ         = 91.188;

// Effective thresholds for electron, muon, light quarks, tau+c, b.
const double AlphaEM::Q2STEP[5]  = {0.26e-6, 0.011, 0.25, 3.5, 90.};

// Running coefficients are sum charge2 / 3 pi in pure QED, here slightly
// enhanced for quarks to approximately account for QCD corrections.
const double AlphaEM::BRUNDEF[5] = {0.1061, 0.2122, 0.460, 0.700, 0.725};

//--------------------------------------------------------------------------

// Initialize alpha_EM calculation.

void AlphaEM::init(int orderIn, Settings* settingsPtr) {

  // Order. Read in alpha_EM value at 0 and m_Z, and mass of Z.
  order     = orderIn;
  alpEM0    = settingsPtr->parm("StandardModel:alphaEM0");
  alpEMmZ   = settingsPtr->parm("StandardModel:alphaEMmZ");
  mZ2       = MZ * MZ;

  // AlphaEM values at matching scales and matching b value.
  if (order <= 0) return;
  for (int i = 0; i < 5; ++i) bRun[i] = BRUNDEF[i];

  // Step down from mZ to tau/charm threshold.
  alpEMstep[4] = alpEMmZ / ( 1. + alpEMmZ * bRun[4]
    * log(mZ2 / Q2STEP[4]) );
  alpEMstep[3] = alpEMstep[4] / ( 1. - alpEMstep[4] * bRun[3]
    * log(Q2STEP[3] / Q2STEP[4]) );

  // Step up from me to light-quark threshold.
  alpEMstep[0] = alpEM0;
  alpEMstep[1] = alpEMstep[0] / ( 1. - alpEMstep[0] * bRun[0]
    * log(Q2STEP[1] / Q2STEP[0]) );
  alpEMstep[2] = alpEMstep[1] / ( 1. - alpEMstep[1] * bRun[1]
    * log(Q2STEP[2] / Q2STEP[1]) );

  // Fit b in range between light-quark and tau/charm to join smoothly.
  bRun[2] = (1./alpEMstep[3] - 1./alpEMstep[2])
    / log(Q2STEP[2] / Q2STEP[3]);

}

//--------------------------------------------------------------------------

// Calculate alpha_EM value

double AlphaEM::alphaEM( double scale2) {

  // Fix alphaEM; for order = -1 fixed at m_Z.
  if (order == 0)  return alpEM0;
  if (order <  0)  return alpEMmZ;

  // Running alphaEM.
  for (int i = 4; i >= 0; --i) if (scale2 > Q2STEP[i])
    return alpEMstep[i] / (1. - bRun[i] * alpEMstep[i]
      * log(scale2 / Q2STEP[i]) );
  return alpEM0;

}

//==========================================================================

// The CoupSM class.

//--------------------------------------------------------------------------

// Definitions of static variables: charges and axial couplings.
const double CoupSM::efSave[20] = { 0., -1./3., 2./3., -1./3., 2./3., -1./3.,
  2./3., -1./3., 2./3., 0., 0., -1., 0., -1., 0., -1., 0., -1., 0., 0.};
const double CoupSM::afSave[20] = { 0., -1., 1., -1., 1., -1., 1., -1., 1.,
  0., 0., -1., 1., -1., 1., -1., 1., -1., 1., 0.};

//--------------------------------------------------------------------------

// Initialize electroweak mixing angle and couplings, and CKM matrix elements.

void CoupSM::init(Settings& settings, Rndm* rndmPtrIn) {

  // Store input pointer;
  rndmPtr = rndmPtrIn;

  // Initialize the local AlphaStrong instance.
  double alphaSvalue  = settings.parm("SigmaProcess:alphaSvalue");
  int    alphaSorder  = settings.mode("SigmaProcess:alphaSorder");
  int    alphaSnfmax  = settings.mode("StandardModel:alphaSnfmax");
  alphaSlocal.init( alphaSvalue, alphaSorder, alphaSnfmax, false);

  // Initialize the local AlphaEM instance.
  int order = settings.mode("SigmaProcess:alphaEMorder");
  alphaEMlocal.init( order, &settings);

  // Read in electroweak mixing angle and the Fermi constant.
  s2tW    = settings.parm("StandardModel:sin2thetaW");
  c2tW    = 1. - s2tW;
  s2tWbar = settings.parm("StandardModel:sin2thetaWbar");
  GFermi  = settings.parm("StandardModel:GF");

  // Initialize electroweak couplings.
  for (int i = 0; i < 20; ++i) {
    vfSave[i]  = afSave[i] - 4. * s2tWbar * efSave[i];
    lfSave[i]  = afSave[i] - 2. * s2tWbar * efSave[i];
    rfSave[i]  =           - 2. * s2tWbar * efSave[i];
    ef2Save[i] = pow2(efSave[i]);
    vf2Save[i] = pow2(vfSave[i]);
    af2Save[i] = pow2(afSave[i]);
    efvfSave[i] = efSave[i] * vfSave[i];
    vf2af2Save[i] = vf2Save[i] + af2Save[i];
  }

  // Read in CKM matrix element values and store them.
  VCKMsave[1][1] = settings.parm("StandardModel:Vud");
  VCKMsave[1][2] = settings.parm("StandardModel:Vus");
  VCKMsave[1][3] = settings.parm("StandardModel:Vub");
  VCKMsave[2][1] = settings.parm("StandardModel:Vcd");
  VCKMsave[2][2] = settings.parm("StandardModel:Vcs");
  VCKMsave[2][3] = settings.parm("StandardModel:Vcb");
  VCKMsave[3][1] = settings.parm("StandardModel:Vtd");
  VCKMsave[3][2] = settings.parm("StandardModel:Vts");
  VCKMsave[3][3] = settings.parm("StandardModel:Vtb");

  // Also allow for the potential existence of a fourth generation.
  VCKMsave[1][4] = settings.parm("FourthGeneration:VubPrime");
  VCKMsave[2][4] = settings.parm("FourthGeneration:VcbPrime");
  VCKMsave[3][4] = settings.parm("FourthGeneration:VtbPrime");
  VCKMsave[4][1] = settings.parm("FourthGeneration:VtPrimed");
  VCKMsave[4][2] = settings.parm("FourthGeneration:VtPrimes");
  VCKMsave[4][3] = settings.parm("FourthGeneration:VtPrimeb");
  VCKMsave[4][4] = settings.parm("FourthGeneration:VtPrimebPrime");

  // Calculate squares of matrix elements.
  for(int i = 1; i < 5; ++i) for(int j = 1; j < 5; ++j)
    V2CKMsave[i][j] = pow2(VCKMsave[i][j]);
  
  // Sum VCKM^2_out sum for given incoming flavour, excluding top as partner.
  V2CKMout[1] = V2CKMsave[1][1] + V2CKMsave[2][1];
  V2CKMout[2] = V2CKMsave[1][1] + V2CKMsave[1][2] + V2CKMsave[1][3];
  V2CKMout[3] = V2CKMsave[1][2] + V2CKMsave[2][2];
  V2CKMout[4] = V2CKMsave[2][1] + V2CKMsave[2][2] + V2CKMsave[2][3];
  V2CKMout[5] = V2CKMsave[1][3] + V2CKMsave[2][3];
  V2CKMout[6] = V2CKMsave[3][1] + V2CKMsave[3][2] + V2CKMsave[3][3];
  V2CKMout[7] = V2CKMsave[1][4] + V2CKMsave[2][4];
  V2CKMout[8] = V2CKMsave[4][1] + V2CKMsave[4][2] + V2CKMsave[4][3];
  for (int i = 11; i <= 18; ++i) V2CKMout[i] = 1.;
 
}

//--------------------------------------------------------------------------

// Return CKM value for incoming flavours (sign irrelevant).

double CoupSM::VCKMid(int id1, int id2) {

  // Use absolute sign (want to cover both f -> f' W and f fbar' -> W).
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if (id1Abs == 0 || id2Abs == 0 || (id1Abs + id2Abs)%2 != 1) return 0.;

  // Ensure proper order before reading out from VCKMsave or lepton match.
  if (id1Abs%2 == 1) swap(id1Abs, id2Abs);
  if (id1Abs <= 8 && id2Abs <= 8) return VCKMsave[id1Abs/2][(id2Abs + 1)/2];
  if ( (id1Abs == 12 || id1Abs == 14 || id1Abs == 16 || id1Abs == 18)
    && id2Abs == id1Abs - 1 ) return 1.;
  
  // No more valid cases.
  return 0.;

}

//--------------------------------------------------------------------------

// Return squared CKM value for incoming flavours (sign irrelevant).

double CoupSM::V2CKMid(int id1, int id2) {

  // Use absolute sign (want to cover both f -> f' W and f fbar' -> W).
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if (id1Abs == 0 || id2Abs == 0 || (id1Abs + id2Abs)%2 != 1) return 0.;

  // Ensure proper order before reading out from V2CKMsave or lepton match.
  if (id1Abs%2 == 1) swap(id1Abs, id2Abs);
  if (id1Abs <= 8 && id2Abs <= 8) return V2CKMsave[id1Abs/2][(id2Abs + 1)/2];
  if ( (id1Abs == 12 || id1Abs == 14 || id1Abs == 16 || id1Abs == 18)
    && id2Abs == id1Abs - 1 ) return 1.;
  
  // No more valid cases.
  return 0.;

}

//--------------------------------------------------------------------------

// Pick an outgoing flavour for given incoming one, given CKM mixing.

int CoupSM::V2CKMpick(int id) {

  // Initial values.
  int idIn = abs(id);
  int idOut = 0;
  
  // Quarks: need to make random choice.
  if (idIn >= 1 && idIn <= 8) {
    double V2CKMrndm = rndmPtr->flat() * V2CKMout[idIn];
    if (idIn == 1) idOut = (V2CKMrndm < V2CKMsave[1][1]) ? 2 : 4;
    else if (idIn == 2) idOut = (V2CKMrndm < V2CKMsave[1][1]) ? 1
      : ( (V2CKMrndm < V2CKMsave[1][1] + V2CKMsave[1][2]) ? 3 : 5 );
    else if (idIn == 3) idOut = (V2CKMrndm < V2CKMsave[1][2]) ? 2 : 4;
    else if (idIn == 4) idOut = (V2CKMrndm < V2CKMsave[2][1]) ? 1
      : ( (V2CKMrndm < V2CKMsave[2][1] + V2CKMsave[2][2]) ? 3 : 5 );
    else if (idIn == 5) idOut = (V2CKMrndm < V2CKMsave[1][3]) ? 2 : 4;
    else if (idIn == 6) idOut = (V2CKMrndm < V2CKMsave[3][1]) ? 1
      : ( (V2CKMrndm < V2CKMsave[3][1] + V2CKMsave[3][2]) ? 3 : 5 );
    else if (idIn == 7) idOut = (V2CKMrndm < V2CKMsave[1][4]) ? 2 : 4;
    else if (idIn == 8) idOut = (V2CKMrndm < V2CKMsave[4][1]) ? 1
      : ( (V2CKMrndm < V2CKMsave[4][1] + V2CKMsave[4][2]) ? 3 : 5 );
  
  // Leptons: unambiguous.
  } else if (idIn >= 11 && idIn <= 18) {
    if (idIn%2 == 1) idOut = idIn + 1;
    else idOut             = idIn - 1;
  }

  // Done. Return with sign.
  return ( (id > 0) ? idOut : -idOut );

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/ParticleData.cc0000644000175000017500000021722412357054762016015 0ustar  sunsun// ParticleData.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// DecayChannel, ParticleDataEntry and ParticleData classes.

#include "Pythia8/ParticleData.h"
#include "Pythia8/ResonanceWidths.h"
#include "Pythia8/StandardModel.h"
#include "Pythia8/SusyResonanceWidths.h"

// Allow string and character manipulation.
#include 

namespace Pythia8 {

//==========================================================================

// DecayChannel class.
// This class holds info on a single decay channel.

//--------------------------------------------------------------------------

// Check whether id1 occurs anywhere in product list.

bool DecayChannel::contains(int id1) const {
  
  bool found1 = false;
  for (int i = 0; i < nProd; ++i) if (prod[i] == id1) found1 = true;
  return found1;

}

//--------------------------------------------------------------------------

// Check whether id1 and id2 occur anywhere in product list.
// iF ID1 == ID2 then two copies of this particle must be present.

bool DecayChannel::contains(int id1, int id2) const {
  
  bool found1 = false;
  bool found2 = false;
  for (int i = 0; i < nProd; ++i) {
    if (!found1 && prod[i] == id1) {found1 = true; continue;}
    if (!found2 && prod[i] == id2) {found2 = true; continue;}
  }
  return found1 && found2;

}

//--------------------------------------------------------------------------

// Check whether id1, id2 and id3 occur anywhere in product list.
// iF ID1 == ID2 then two copies of this particle must be present, etc.

bool DecayChannel::contains(int id1, int id2, int id3) const {
  
  bool found1 = false;
  bool found2 = false;
  bool found3 = false;
  for (int i = 0; i < nProd; ++i) {
    if (!found1 && prod[i] == id1) {found1 = true; continue;}
    if (!found2 && prod[i] == id2) {found2 = true; continue;}
    if (!found3 && prod[i] == id3) {found3 = true; continue;}
  }
  return found1 && found2 && found3;

}

//==========================================================================

// ParticleDataEntry class.
// This class holds info on a single particle species.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// A particle is invisible if it has neither strong nor electric charge,
// and is not made up of constituents that have it. Only relevant for
// long-lived particles. This list may need to be extended.
const int ParticleDataEntry::INVISIBLENUMBER = 50;
const int ParticleDataEntry::INVISIBLETABLE[50] = { 12, 14, 16, 18, 23, 25,
  32, 33, 35, 36, 39, 41,    1000012, 1000014, 1000016, 1000018, 1000022,
  1000023, 1000025, 1000035, 1000045, 1000039, 2000012, 2000014, 2000016,
  2000018, 4900012, 4900014, 4900016, 4900021, 4900022, 4900101, 4900102,
  4900103, 4900104, 4900105, 4900106, 4900107, 4900108, 4900111, 4900113,
  4900211, 4900213, 4900991, 5000039, 5100039, 9900012, 9900014, 9900016,
  9900023 };

// For some particles we know it is necessary to switch off width,
// although they do have one, so do not warn.
const int ParticleDataEntry::KNOWNNOWIDTH[3] = {10313, 10323, 10333};

// Particles with a read-in tau0 (in mm/c) below this mayDecay by default.
const double ParticleDataEntry::MAXTAU0FORDECAY = 1000.;

// Particles with a read-in m0 above this isResonance by default.
const double ParticleDataEntry::MINMASSRESONANCE = 20.;

// Narrow states are assigned nominal mass.
const double ParticleDataEntry::NARROWMASS       = 1e-6;

// Constituent quark masses (d, u, s, c, b, -, -, -, g).
const double ParticleDataEntry::CONSTITUENTMASSTABLE[10]
  = {0., 0.325, 0.325, 0.50, 1.60, 5.00, 0., 0., 0., 0.7};

//--------------------------------------------------------------------------

// Destructor: delete any ResonanceWidths object.

ParticleDataEntry::~ParticleDataEntry() {
  if (resonancePtr != 0) delete resonancePtr;
}

//--------------------------------------------------------------------------

// Set initial default values for some quantities.

void ParticleDataEntry::setDefaults() {

  // A particle is a resonance if it is heavy enough.
  isResonanceSave     = (m0Save > MINMASSRESONANCE);

  // A particle may decay if it is shortlived enough.
  mayDecaySave        = (tau0Save < MAXTAU0FORDECAY);

  // A particle by default has no external decays.
  doExternalDecaySave = false;

  // A particle is invisible if in current table of such.
  isVisibleSave = true;
  for (int i = 0; i < INVISIBLENUMBER; ++i)
    if (idSave == INVISIBLETABLE[i]) isVisibleSave = false;

  // Normally a resonance should not have width forced to fixed value.
  doForceWidthSave  = false;

  // Set up constituent masses.
  setConstituentMass();

  // No Breit-Wigner mass selection before initialized.
  modeBWnow = 0;

}

//--------------------------------------------------------------------------

// Find out if a particle is a hadron.
// Only covers normal hadrons, not e.g. R-hadrons.

bool ParticleDataEntry::isHadron() const {

  if (idSave <= 100 || (idSave >= 1000000 && idSave <= 9000000)
    || idSave >= 9900000) return false;
  if (idSave == 130 || idSave == 310) return true;
  if (idSave%10 == 0 || (idSave/10)%10 == 0 || (idSave/100)%10 == 0)
    return false;
  return true;

}

//--------------------------------------------------------------------------

// Find out if a particle is a meson.
// Only covers normal hadrons, not e.g. R-hadrons.

bool ParticleDataEntry::isMeson() const {

  if (idSave <= 100 || (idSave >= 1000000 && idSave <= 9000000)
    || idSave >= 9900000) return false;
  if (idSave == 130 || idSave == 310) return true;
  if (idSave%10 == 0 || (idSave/10)%10 == 0 || (idSave/100)%10 == 0
    || (idSave/1000)%10 != 0) return false;
  return true;

}

//--------------------------------------------------------------------------

// Find out if a particle is a baryon.
// Only covers normal hadrons, not e.g. R-hadrons.

bool ParticleDataEntry::isBaryon() const {

  if (idSave <= 1000 || (idSave >= 1000000 && idSave <= 9000000)
    || idSave >= 9900000) return false;
  if (idSave%10 == 0 || (idSave/10)%10 == 0 || (idSave/100)%10 == 0
    || (idSave/1000)%10 == 0) return false;
  return true;
  

}

//--------------------------------------------------------------------------

// Extract the heaviest (= largest id)  quark in a hadron.

int ParticleDataEntry::heaviestQuark(int idIn) const {

  if (!isHadron()) return 0;
  int hQ = 0;
  
  // Meson.
  if ( (idSave/1000)%10 == 0 ) {
    hQ = (idSave/100)%10;
    if (idSave == 130) hQ = 3;
    if (hQ%2 == 1) hQ = -hQ;

  // Baryon.
  } else hQ = (idSave/1000)%10;

  // Done.
  return (idIn > 0) ? hQ : -hQ;

}

//--------------------------------------------------------------------------

// Calculate three times baryon number, i.e. net quark - antiquark number.

int ParticleDataEntry::baryonNumberType(int idIn) const {

  // Quarks.
  if (isQuark()) return (idIn > 0) ? 1 : -1;

  // Diquarks
  if (isDiquark()) return (idIn > 0) ? 2 : -2;
  
  // Baryons.
  if (isBaryon()) return (idIn > 0) ? 3 : -3;

  // Done.
  return 0;

}

//--------------------------------------------------------------------------

// Prepare the Breit-Wigner mass selection by precalculating
// frequently-used expressions.

void ParticleDataEntry::initBWmass() {

  // Find Breit-Wigner mode for current particle.
  modeBWnow = particleDataPtr->modeBreitWigner;
  if ( m0Save < NARROWMASS ) mWidthSave = 0.;
  if ( mWidthSave < NARROWMASS || (mMaxSave > mMinSave
    && mMaxSave - mMinSave < NARROWMASS) ) modeBWnow = 0;
  if (modeBWnow == 0) return;

  // Find atan expressions to be used in random mass selection.
  if (modeBWnow < 3) {
    atanLow = atan( 2. * (mMinSave - m0Save) / mWidthSave );
    double atanHigh = (mMaxSave > mMinSave)
      ? atan( 2. * (mMaxSave - m0Save) / mWidthSave ) : 0.5 * M_PI;
    atanDif = atanHigh - atanLow;
  } else {
    atanLow = atan( (pow2(mMinSave) - pow2(m0Save))
      / (m0Save * mWidthSave) );
    double atanHigh = (mMaxSave > mMinSave)
      ? atan( (pow2(mMaxSave) - pow2(m0Save)) / (m0Save * mWidthSave) )
      : 0.5 * M_PI;
    atanDif = atanHigh - atanLow;
  }

  // Done if no threshold factor.
  if (modeBWnow%2 == 1) return;

  // Find average mass threshold for threshold-factor correction.
  double bRatSum = 0.;
  double mThrSum = 0;
  for (int i = 0; i < int(channels.size()); ++i)
  if (channels[i].onMode() > 0) {
    bRatSum += channels[i].bRatio();
    double mChannelSum = 0.;
    for (int j = 0; j < channels[i].multiplicity(); ++j)
      mChannelSum += particleDataPtr->m0( channels[i].product(j) );
    mThrSum += channels[i].bRatio() * mChannelSum;
  }
  mThr = (bRatSum == 0.) ? 0. : mThrSum / bRatSum;

  // Switch off Breit-Wigner if very close to threshold.
  if (mThr + NARROWMASS > m0Save) {
    modeBWnow = 0;
    bool knownProblem = false;
    for (int i = 0; i < 3; ++i) if (idSave == KNOWNNOWIDTH[i])
      knownProblem = true;
    if (!knownProblem) {
      ostringstream osWarn;
      osWarn << "for id = " << idSave;
      particleDataPtr->infoPtr->errorMsg("Warning in ParticleDataEntry::"
        "initBWmass: switching off width", osWarn.str(), true);
    }
  }

}

//--------------------------------------------------------------------------

// Function to give mass of a particle, either at the nominal value
// or picked according to a (linear or quadratic) Breit-Wigner.

double ParticleDataEntry::mSel() {

  // Nominal value. (Width check should not be needed, but just in case.)
  if (modeBWnow == 0 || mWidthSave < NARROWMASS) return m0Save;
  double mNow, m2Now;

  // Mass according to a Breit-Wigner linear in m.
  if (modeBWnow == 1) {
     mNow = m0Save + 0.5 * mWidthSave
       * tan( atanLow + atanDif * particleDataPtr->rndmPtr->flat() );

  // Ditto, but make Gamma proportional to sqrt(m^2 - m_threshold^2).
  } else if (modeBWnow == 2) {
    double mWidthNow, fixBW, runBW;
    double m0ThrS = m0Save*m0Save - mThr*mThr;
    do {
      mNow = m0Save + 0.5 * mWidthSave
        * tan( atanLow + atanDif * particleDataPtr->rndmPtr->flat() );
      mWidthNow = mWidthSave * sqrtpos( (mNow*mNow - mThr*mThr) / m0ThrS );
      fixBW = mWidthSave / (pow2(mNow - m0Save) + pow2(0.5 * mWidthSave));
      runBW = mWidthNow / (pow2(mNow - m0Save) + pow2(0.5 * mWidthNow));
    } while (runBW < particleDataPtr->rndmPtr->flat()
      * particleDataPtr->maxEnhanceBW * fixBW);
       
  // Mass according to a Breit-Wigner quadratic in m.
  } else if (modeBWnow == 3) {
    m2Now = m0Save*m0Save + m0Save * mWidthSave
      * tan( atanLow + atanDif * particleDataPtr->rndmPtr->flat() );
    mNow = sqrtpos( m2Now);
       
  // Ditto, but m_0 Gamma_0 -> m Gamma(m) with threshold factor as above.
  } else {
    double mwNow, fixBW, runBW;
    double m2Ref = m0Save * m0Save;
    double mwRef = m0Save * mWidthSave;
    double m2Thr = mThr * mThr;
    do {
      m2Now = m2Ref + mwRef * tan( atanLow + atanDif
        * particleDataPtr->rndmPtr->flat() );
      mNow = sqrtpos( m2Now);
      mwNow = mNow * mWidthSave
        * sqrtpos( (m2Now - m2Thr) / (m2Ref - m2Thr) );
      fixBW = mwRef / (pow2(m2Now - m2Ref) + pow2(mwRef));
      runBW = mwNow / (pow2(m2Now - m2Ref) + pow2(mwNow));
    } while (runBW < particleDataPtr->rndmPtr->flat()
      * particleDataPtr->maxEnhanceBW * fixBW);
  }

  // Done.
  return mNow;
}

//--------------------------------------------------------------------------

// Function to calculate running mass at given mass scale.

double ParticleDataEntry::mRun(double mHat) {

  // Except for six quarks return nominal mass.
  if (idSave > 6) return m0Save;
  double mQRun = particleDataPtr->mQRun[idSave];
  double Lam5  = particleDataPtr->Lambda5Run;

  // For d, u, s quarks start running at 2 GeV (RPP 2006 p. 505).
  if (idSave < 4) return mQRun * pow ( log(2. / Lam5)
    / log(max(2., mHat) / Lam5), 12./23.);

  // For c, b and t quarks start running at respective mass.
  return mQRun * pow ( log(mQRun / Lam5)
    / log(max(mQRun, mHat) / Lam5), 12./23.);

}

//--------------------------------------------------------------------------

// Rescale all branching ratios to assure normalization to unity.

void ParticleDataEntry::rescaleBR(double newSumBR) {

  // Sum up branching ratios. Find rescaling factor. Rescale.
  double oldSumBR = 0.;
  for ( int i = 0; i < int(channels.size()); ++ i)
    oldSumBR += channels[i].bRatio();
  double rescaleFactor = newSumBR / oldSumBR;
  for ( int i = 0; i < int(channels.size()); ++ i)
    channels[i].rescaleBR(rescaleFactor);

}

//--------------------------------------------------------------------------

// Prepare to pick a decay channel.

bool ParticleDataEntry::preparePick(int idSgn, double mHat, int idInFlav) {

  // Reset sum of allowed widths/branching ratios.
  currentBRSum = 0.;

  // For resonances the widths are calculated dynamically.
  if (isResonanceSave && resonancePtr != 0) {
    resonancePtr->widthStore(idSgn, mHat, idInFlav);
    for (int i = 0; i < int(channels.size()); ++i)
      currentBRSum += channels[i].currentBR();
    
  // Else use normal fixed branching ratios.
  } else {
    int onMode;
    double currentBRNow;
    for (int i = 0; i < int(channels.size()); ++i) {
      onMode = channels[i].onMode();
      currentBRNow = 0.;
      if ( idSgn > 0 && (onMode == 1 || onMode == 2) )
        currentBRNow = channels[i].bRatio();
      else if ( idSgn < 0 && (onMode == 1 || onMode == 3) )
        currentBRNow = channels[i].bRatio();
      channels[i].currentBR(currentBRNow);
      currentBRSum += currentBRNow;
    }
  }

  // Failure if no channels found with positive branching ratios.
  return (currentBRSum > 0.);

}

//--------------------------------------------------------------------------

// Pick a decay channel according to branching ratios from preparePick.

DecayChannel& ParticleDataEntry::pickChannel() {

  // Find channel in table.
  int size = channels.size();
  double rndmBR = currentBRSum * particleDataPtr->rndmPtr->flat();
  int i = -1;
  do rndmBR -= channels[++i].currentBR();
  while (rndmBR > 0. && i < size);

  // Emergency if no channel found. Done.
  if (i == size) i = 0;
  return channels[i];

}

//--------------------------------------------------------------------------

// Access methods stored in ResonanceWidths. Could have been
// inline in .h, except for problems with forward declarations.

void ParticleDataEntry::setResonancePtr(
  ResonanceWidths* resonancePtrIn) {
  if (resonancePtr == resonancePtrIn) return;
  if (resonancePtr != 0) delete resonancePtr;
  resonancePtr = resonancePtrIn;
}

void ParticleDataEntry::resInit(Info* infoPtrIn, Settings* settingsPtrIn,
  ParticleData* particleDataPtrIn, Couplings* couplingsPtrIn) {
  if (resonancePtr != 0) resonancePtr->init(infoPtrIn, settingsPtrIn,
  particleDataPtrIn, couplingsPtrIn);
}

double ParticleDataEntry::resWidth(int idSgn, double mHat, int idIn,
  bool openOnly, bool setBR) {
  return (resonancePtr != 0) ? resonancePtr->width( idSgn, mHat,
    idIn, openOnly, setBR) : 0.;
}

double ParticleDataEntry::resWidthOpen(int idSgn, double mHat, int idIn) {
  return (resonancePtr != 0) ? resonancePtr->widthOpen( idSgn, mHat, idIn)
  : 0.;
}

double ParticleDataEntry::resWidthStore(int idSgn, double mHat, int idIn) {
  return (resonancePtr != 0) ? resonancePtr->widthStore( idSgn, mHat, idIn)
  : 0.;
}

double ParticleDataEntry::resOpenFrac(int idSgn) {
  return (resonancePtr != 0) ? resonancePtr->openFrac(idSgn) : 1.;
}

double ParticleDataEntry::resWidthRescaleFactor() {
  return (resonancePtr != 0) ? resonancePtr->widthRescaleFactor() : 1.;
}

double ParticleDataEntry::resWidthChan(double mHat, int idAbs1,
  int idAbs2) {
  return (resonancePtr != 0) ? resonancePtr->widthChan( mHat, idAbs1,
    idAbs2) : 0.;
}

//--------------------------------------------------------------------------

// Constituent masses for (d, u, s, c, b) quarks and diquarks.
// Hardcoded in CONSTITUENTMASSTABLE so that they are not overwritten
// by mistake, and separated from the "normal" masses.
// Called both by setDefaults and setM0 so kept as separate method.
  
void ParticleDataEntry::setConstituentMass() {

  // Equate with the normal masses as default guess.
  constituentMassSave = m0Save;

  // Quark masses trivial. Also gluon mass.
  if (idSave < 6) constituentMassSave = CONSTITUENTMASSTABLE[idSave];
  if (idSave == 21) constituentMassSave = CONSTITUENTMASSTABLE[9];
 
  // Diquarks as simple sum of constituent quarks.
  if (idSave > 1000 && idSave < 10000 && (idSave/10)%10 == 0) {
    int id1 = idSave/1000;
    int id2 = (idSave/100)%10;
    if (id1 <6 && id2 < 6) constituentMassSave
      = CONSTITUENTMASSTABLE[id1] + CONSTITUENTMASSTABLE[id2];
  }

}

//==========================================================================

// ParticleData class.
// This class holds a map of all ParticleDataEntries,
// each entry containing info on a particle species.

//--------------------------------------------------------------------------

// Get data to be distributed among particles during setup.
// Note: this routine is called twice. Firstly from init(...), but
// the data should not be used at that point, so is likely overkill.
// Secondly, from initWidths, after user has had time to change.

void ParticleData::initCommon() {

  // Mass generation: fixed mass or linear/quadratic Breit-Wigner.
  modeBreitWigner = settingsPtr->mode("ParticleData:modeBreitWigner");

  // Maximum tail enhancement when adding threshold factor to Breit-Wigner.
  maxEnhanceBW    = settingsPtr->parm("ParticleData:maxEnhanceBW");
 
  // Find initial MSbar masses for five light flavours.
  mQRun[1]        = settingsPtr->parm("ParticleData:mdRun");
  mQRun[2]        = settingsPtr->parm("ParticleData:muRun");
  mQRun[3]        = settingsPtr->parm("ParticleData:msRun");
  mQRun[4]        = settingsPtr->parm("ParticleData:mcRun");
  mQRun[5]        = settingsPtr->parm("ParticleData:mbRun");
  mQRun[6]        = settingsPtr->parm("ParticleData:mtRun");

  // Find Lambda5 value to use in running of MSbar masses.
  double alphaSvalue = settingsPtr->parm("ParticleData:alphaSvalueMRun");
  AlphaStrong alphaS;
  alphaS.init( alphaSvalue, 1, 5, false);
  Lambda5Run = alphaS.Lambda5();

}

//--------------------------------------------------------------------------

// Initialize pointer for particles to the full database, the Breit-Wigners
// of normal hadrons and the ResonanceWidths of resonances. For the latter
// the order of initialization is essential to get secondary widths right.

void ParticleData::initWidths( vector resonancePtrs) {

  // Initialize some common data.
  initCommon();

  // Pointer to database and Breit-Wigner mass initialization for each
  // particle.
  ResonanceWidths* resonancePtr = 0;
  for (map::iterator pdtEntry = pdt.begin();
    pdtEntry != pdt.end(); ++pdtEntry) {
    ParticleDataEntry& pdtNow = pdtEntry->second;
    pdtNow.initBWmass();

    // Remove any existing resonances.
    resonancePtr = pdtNow.getResonancePtr();
    if (resonancePtr != 0) pdtNow.setResonancePtr(0);
  }

  // Begin set up new resonance objects.
  // Z0, W+- and top are almost always needed.
  resonancePtr = new ResonanceGmZ(23);
  setResonancePtr( 23, resonancePtr);
  resonancePtr = new ResonanceW(24);
  setResonancePtr( 24, resonancePtr);
  resonancePtr = new ResonanceTop(6);
  setResonancePtr(  6, resonancePtr);

  // Higgs in SM.
  if (!settingsPtr->flag("Higgs:useBSM")) {
    resonancePtr = new ResonanceH(0, 25);
    setResonancePtr( 25, resonancePtr);

  // Higgses in BSM.
  } else {
    resonancePtr = new ResonanceH(1, 25);
    setResonancePtr( 25, resonancePtr);
    resonancePtr = new ResonanceH(2, 35);
    setResonancePtr( 35, resonancePtr);
    resonancePtr = new ResonanceH(3, 36);
    setResonancePtr( 36, resonancePtr);
    resonancePtr = new ResonanceHchg(37);
    setResonancePtr( 37, resonancePtr);
  }

  // A fourth generation: b', t', tau', nu'_tau.
  resonancePtr = new ResonanceFour(7);
  setResonancePtr( 7, resonancePtr);
  resonancePtr = new ResonanceFour(8);
  setResonancePtr( 8, resonancePtr);
  resonancePtr = new ResonanceFour(17);
  setResonancePtr( 17, resonancePtr);
  resonancePtr = new ResonanceFour(18);
  setResonancePtr( 18, resonancePtr);

  // New gauge bosons: Z', W', R.
  resonancePtr = new ResonanceZprime(32);
  setResonancePtr( 32, resonancePtr);
  resonancePtr = new ResonanceWprime(34);
  setResonancePtr( 34, resonancePtr);
  resonancePtr = new ResonanceRhorizontal(41);
  setResonancePtr( 41, resonancePtr);

  // A leptoquark.
  resonancePtr = new ResonanceLeptoquark(42);
  setResonancePtr( 42, resonancePtr);

  // 93 = Z0copy and 94 = W+-copy used to pick decay channels
  // for W/Z production in parton showers.
  resonancePtr = new ResonanceGmZ(93);
  setResonancePtr( 93, resonancePtr);
  resonancePtr = new ResonanceW(94);
  setResonancePtr( 94, resonancePtr);

  // Supersymmetry
  //  - Squarks
  for(int i = 1; i < 7; i++){
    resonancePtr = new ResonanceSquark(1000000 + i);
    setResonancePtr( 1000000 + i, resonancePtr);
    resonancePtr = new ResonanceSquark(2000000 + i);
    setResonancePtr( 2000000 + i, resonancePtr);
  }

  //  - Sleptons and sneutrinos
  for(int i = 1; i < 7; i++){
    resonancePtr = new ResonanceSlepton(1000010 + i);
    setResonancePtr( 1000010 + i, resonancePtr);
    resonancePtr = new ResonanceSlepton(2000010 + i);
    setResonancePtr( 2000010 + i, resonancePtr);
  }

  // - Gluino
  resonancePtr = new ResonanceGluino(1000021);
  setResonancePtr( 1000021, resonancePtr);

  // - Charginos
  resonancePtr = new ResonanceChar(1000024);
  setResonancePtr( 1000024, resonancePtr);
  resonancePtr = new ResonanceChar(1000037);
  setResonancePtr( 1000037, resonancePtr);

  // - Neutralinos
  resonancePtr = new ResonanceNeut(1000022);
  setResonancePtr( 1000022, resonancePtr);
  resonancePtr = new ResonanceNeut(1000023);
  setResonancePtr( 1000023, resonancePtr);
  resonancePtr = new ResonanceNeut(1000025);
  setResonancePtr( 1000025, resonancePtr);
  resonancePtr = new ResonanceNeut(1000035);
  setResonancePtr( 1000035, resonancePtr);
  resonancePtr = new ResonanceNeut(1000045);
  setResonancePtr( 1000045, resonancePtr);

  // Excited quarks and leptons.
  for (int i = 1; i < 7; ++i) {
    resonancePtr = new ResonanceExcited(4000000 + i);
    setResonancePtr( 4000000 + i, resonancePtr);
  }
  for (int i = 11; i < 17; ++i) {
    resonancePtr = new ResonanceExcited(4000000 + i);
    setResonancePtr( 4000000 + i, resonancePtr);
  }

  // An excited graviton/gluon in extra-dimensional scenarios.
  resonancePtr = new ResonanceGraviton(5100039);
  setResonancePtr( 5100039, resonancePtr);
  resonancePtr = new ResonanceKKgluon(5100021);
  setResonancePtr( 5100021, resonancePtr);

  // A left-right-symmetric scenario with new righthanded neutrinos,
  // righthanded gauge bosons and doubly charged Higgses.
  resonancePtr = new ResonanceNuRight(9900012);
  setResonancePtr( 9900012, resonancePtr);
  resonancePtr = new ResonanceNuRight(9900014);
  setResonancePtr( 9900014, resonancePtr);
  resonancePtr = new ResonanceNuRight(9900016);
  setResonancePtr( 9900016, resonancePtr);
  resonancePtr = new ResonanceZRight(9900023);
  setResonancePtr( 9900023, resonancePtr);
  resonancePtr = new ResonanceWRight(9900024);
  setResonancePtr( 9900024, resonancePtr);
  resonancePtr = new ResonanceHchgchgLeft(9900041);
  setResonancePtr( 9900041, resonancePtr);
  resonancePtr = new ResonanceHchgchgRight(9900042);
  setResonancePtr( 9900042, resonancePtr);

  // Attach user-defined external resonances and do basic initialization.
  for (int i = 0; i < int(resonancePtrs.size()); ++i) {
    int idNow = resonancePtrs[i]->id();
    resonancePtrs[i]->initBasic(idNow);
    setResonancePtr( idNow, resonancePtrs[i]);
  }

  // Set up lists to order resonances in ascending mass.
  vector    idOrdered;
  vector m0Ordered;

  // Put Z0 and W+- first, since known to be SM and often off-shell.
  idOrdered.push_back(23);
  m0Ordered.push_back(m0(23));
  idOrdered.push_back(24);
  m0Ordered.push_back(m0(24));
  
  // Loop through particle table to find resonances.
  for (map::iterator pdtEntry = pdt.begin();
    pdtEntry != pdt.end(); ++pdtEntry) {
    ParticleDataEntry& pdtNow = pdtEntry->second;
    int idNow = pdtNow.id();

    // Set up a simple default object for uninitialized resonances.
    if (pdtNow.isResonance() && pdtNow.getResonancePtr() == 0) {
      resonancePtr = new ResonanceGeneric(idNow);
      setResonancePtr( idNow, resonancePtr);
    }

    // Insert resonances in ascending mass, to respect decay hierarchies.
    if (pdtNow.getResonancePtr() != 0 && idNow != 23 && idNow != 24) {
      double m0Now = pdtNow.m0();
      idOrdered.push_back(idNow);
      m0Ordered.push_back(m0Now);
      for (int i = int(idOrdered.size()) - 2; i > 1; --i) {
        if (m0Ordered[i] < m0Now) break;
        swap( idOrdered[i], idOrdered[i + 1]);
        swap( m0Ordered[i], m0Ordered[i + 1]);
      }
    }
  }

  // Initialize the resonances in ascending mass order. Reset mass generation.
  for (int i = 0; i < int(idOrdered.size()); ++i) {
    resInit( idOrdered[i]);
    ParticleDataEntry* pdtPtrNow = particleDataEntryPtr( idOrdered[i]);
    pdtPtrNow->initBWmass();
  }
  
}

//--------------------------------------------------------------------------

// Read in database from specific XML file (which may refer to others).

bool ParticleData::readXML(string inFile, bool reset) {

  // Normally reset whole database before beginning.
  if (reset) {pdt.clear(); isInit = false;}
 
  // List of files to be checked.
  vector files;
  files.push_back(inFile);

  // Loop over files. Open them for read.
  for (int i = 0; i < int(files.size()); ++i) {
    const char* cstring = files[i].c_str();
    ifstream is(cstring);

    // Check that instream is OK.
    if (!is.good()) {
      infoPtr->errorMsg("Error in ParticleData::readXML:"
        " did not find file", files[i]);
      return false;
    }

    // Read in one line at a time.
    particlePtr = 0;
    string line;
    while ( getline(is, line) ) {

      // Get first word of a line.
      istringstream getfirst(line);
      string word1;
      getfirst >> word1;
    
      // Check for occurence of a particle. Add any continuation lines.
      if (word1 == "") == string::npos) {
          string addLine;
          getline(is, addLine);
          line += addLine;
        }

        // Read in particle properties.
        int idTmp          = intAttributeValue( line, "id");
        string nameTmp     = attributeValue( line, "name");
        string antiNameTmp = attributeValue( line, "antiName");
        if (antiNameTmp == "") antiNameTmp = "void";
        int spinTypeTmp    = intAttributeValue( line, "spinType");
        int chargeTypeTmp  = intAttributeValue( line, "chargeType");
        int colTypeTmp     = intAttributeValue( line, "colType");
        double m0Tmp       = doubleAttributeValue( line, "m0");
        double mWidthTmp   = doubleAttributeValue( line, "mWidth");
        double mMinTmp     = doubleAttributeValue( line, "mMin");
        double mMaxTmp     = doubleAttributeValue( line, "mMax");
        double tau0Tmp     = doubleAttributeValue( line, "tau0");

        // Erase if particle already exists.
        if (isParticle(idTmp)) pdt.erase(idTmp);

        // Store new particle. Save pointer, to be used for decay channels.
        addParticle( idTmp, nameTmp, antiNameTmp, spinTypeTmp, chargeTypeTmp,
          colTypeTmp, m0Tmp, mWidthTmp, mMinTmp, mMaxTmp, tau0Tmp);
        particlePtr = particleDataEntryPtr(idTmp);
 
      // Check for occurence of a decay channel. Add any continuation lines.
      } else if (word1 == "") == string::npos) {
          string addLine;
          getline(is, addLine);
          line += addLine;
        }

        // Read in channel properties - products so far only as a string.
        int onMode      = intAttributeValue( line, "onMode");
        double bRatio   = doubleAttributeValue( line, "bRatio");
        int meMode      = intAttributeValue( line, "meMode");
        string products = attributeValue( line, "products");
 
        // Read in decay products from stream. Must have at least one.
        istringstream prodStream(products);
        int prod0 = 0; int prod1 = 0; int prod2 = 0; int prod3 = 0;
        int prod4 = 0; int prod5 = 0; int prod6 = 0; int prod7 = 0;
        prodStream >> prod0 >> prod1 >> prod2 >> prod3 >> prod4 >> prod5
                   >> prod6 >> prod7;
        if (prod0 == 0) {
          infoPtr->errorMsg("Error in ParticleData::readXML:"
            " incomplete decay channel", line);
          return false;
        }

        // Store new channel (if particle already known).
        if (particlePtr == 0) {
          infoPtr->errorMsg("Error in ParticleData::readXML:"
            " orphan decay channel", line);
          return false;
        }
        particlePtr->addChannel(onMode, bRatio, meMode, prod0, prod1,
          prod2, prod3, prod4, prod5, prod6, prod7);
    
      // Check for occurence of a file also to be read.
      } else if (word1 == "errorMsg("Error in ParticleData::readXML:"
            " skip unrecognized file name", line);
        } else files.push_back(file);
      }

    // End of loop over lines in input file and loop over files.
    };
  };

  // All particle data at this stage defines baseline original.
  if (reset) for (map::iterator pdtEntry
    = pdt.begin(); pdtEntry != pdt.end(); ++pdtEntry) {
    particlePtr = &pdtEntry->second;
    particlePtr->setHasChanged(false);
  }

  // Done.
  isInit = true;
  return true;

}

//--------------------------------------------------------------------------
 
// Print out complete database in numerical order as an XML file.

void ParticleData::listXML(string outFile) {

  // Convert file name to ofstream.
    const char* cstring = outFile.c_str();
    ofstream os(cstring);

  // Iterate through the particle data table.
  for (map::iterator pdtEntry
    = pdt.begin(); pdtEntry != pdt.end(); ++pdtEntry) {
    particlePtr = &pdtEntry->second;

    // Print particle properties.
    os << "id() << "\""
       << " name=\"" << particlePtr->name() << "\"";
    if (particlePtr->hasAnti())
      os << " antiName=\"" << particlePtr->name(-1) << "\"";
    os << " spinType=\"" << particlePtr->spinType() << "\""
       << " chargeType=\"" << particlePtr->chargeType() << "\""
       << " colType=\"" << particlePtr->colType() << "\"\n";
    // Pick format for mass and width based on mass value.
    double m0Now = particlePtr->m0();
    if (m0Now == 0 || (m0Now > 0.1 && m0Now < 1000.))
      os << fixed << setprecision(5);
    else  os << scientific << setprecision(3);
    os << "          m0=\"" << m0Now << "\"";
    if (particlePtr->mWidth() > 0.)
      os << " mWidth=\"" << particlePtr->mWidth() << "\""
         << " mMin=\"" << particlePtr->mMin() << "\""
         << " mMax=\"" << particlePtr->mMax() << "\"";
    if (particlePtr->tau0() > 0.) os << scientific << setprecision(5)
         << " tau0=\"" << particlePtr->tau0() << "\"";
    os << ">\n";

    // Loop through the decay channel table for each particle.
    if (particlePtr->sizeChannels() > 0) {
      for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
        const DecayChannel& channel = particlePtr->channel(i);
        int mult = channel.multiplicity();

        // Print decay channel properties.
        os << "  0)
          os << " meMode=\"" << channel.meMode() << "\"";
        os << " products=\"";
        for (int j = 0; j < mult; ++j) {
          os << channel.product(j);
          if (j < mult - 1) os << " ";
        }

        // Finish off line and loop over allowed decay channels.
        os  << "\"/>\n";
      }
    }
        
    // Finish off existing particle.
    os << "\n\n";

  }

}

//--------------------------------------------------------------------------

// Read in database from specific free format file.

bool ParticleData::readFF(string inFile, bool reset) {

  // Normally reset whole database before beginning.
  if (reset) {pdt.clear(); isInit = false;}

  // Open file for read and check that instream is OK.
  const char* cstring = inFile.c_str();
  ifstream is(cstring);
  if (!is.good()) {
    infoPtr->errorMsg("Error in ParticleData::readFF:"
      " did not find file", inFile);
    return false;
  }

  // Read in one line at a time.
  particlePtr = 0;
  string line;
  bool readParticle = false;
  while ( getline(is, line) ) {

    // Empty lines begins new particle.
    if (line.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos) {
      readParticle = true;
      continue;
    }
 
    // Prepare to use standard read from line.
    istringstream readLine(line);

    // Read in a line with particle information.
    if (readParticle) {

      // Properties to be read.
      int    idTmp;
      string nameTmp, antiNameTmp;
      int    spinTypeTmp, chargeTypeTmp, colTypeTmp;
      double m0Tmp, mWidthTmp, mMinTmp, mMaxTmp, tau0Tmp;
      string mayTmp;

      // Do the reading.
      readLine >> idTmp >> nameTmp >> antiNameTmp >> spinTypeTmp
               >> chargeTypeTmp >> colTypeTmp >> m0Tmp >> mWidthTmp
               >> mMinTmp >> mMaxTmp >> tau0Tmp;

      // Error printout if something went wrong.
      if (!readLine) {
        infoPtr->errorMsg("Error in ParticleData::readFF:"
          " incomplete particle", line);
        return false;
      }

      // Erase if particle already exists.
      if (isParticle(idTmp)) pdt.erase(idTmp);

      // Store new particle. Save pointer, to be used for decay channels.
      addParticle( idTmp, nameTmp, antiNameTmp, spinTypeTmp, chargeTypeTmp,
        colTypeTmp, m0Tmp, mWidthTmp, mMinTmp, mMaxTmp, tau0Tmp);
      particlePtr = particleDataEntryPtr(idTmp);
      readParticle = false;

    // Read in a line with decay channel information.
    } else {
       
      // Properties to be read.
      int    onMode = 0;
      double bRatio = 0.;
      int    meMode = 0;
      int prod0 = 0; int prod1 = 0; int prod2 = 0; int prod3 = 0;
      int prod4 = 0; int prod5 = 0; int prod6 = 0; int prod7 = 0;
  
      // Read in data from stream. Need at least one decay product.
      readLine >> onMode >> bRatio >> meMode >> prod0;
      if (!readLine) {
        infoPtr->errorMsg("Error in ParticleData::readFF:"
          " incomplete decay channel", line);
        return false;
      }
      readLine >> prod1 >> prod2 >> prod3 >> prod4 >> prod5
        >> prod6  >> prod7;

      // Store new channel.
      if (particlePtr == 0) {
        infoPtr->errorMsg("Error in ParticleData::readFF:"
          " orphan decay channel", line);
        return false;
      }
      particlePtr->addChannel(onMode, bRatio, meMode, prod0, prod1,
        prod2, prod3, prod4, prod5, prod6, prod7);

    }

  // End of while loop over lines in the file.
  }


  // Done.
  isInit = true;
  return true;
   
}

//--------------------------------------------------------------------------
  
// Print out complete database in numerical order as a free format file.

void ParticleData::listFF(string outFile) {

  // Convert file name to ofstream.
    const char* cstring = outFile.c_str();
    ofstream os(cstring);

  // Iterate through the particle data table.
  for (map::iterator pdtEntry
    = pdt.begin(); pdtEntry != pdt.end(); ++pdtEntry) {
    particlePtr = &pdtEntry->second;

    // Pick format for mass and width based on mass value.
    double m0Now = particlePtr->m0();
    if (m0Now == 0 || (m0Now > 0.1 && m0Now < 1000.))
      os << fixed << setprecision(5);
    else os << scientific << setprecision(3);

    // Print particle properties.
    os << "\n" << setw(8) << particlePtr->id() << "  "
       << left << setw(16) << particlePtr->name() << " "
       << setw(16) << particlePtr->name(-1) << "  "
       << right << setw(2) << particlePtr->spinType() << "  "
       << setw(2) << particlePtr->chargeType() << "  "
       << setw(2) << particlePtr->colType() << " "
       << setw(10) << particlePtr->m0() << " "
       << setw(10) << particlePtr->mWidth() << " "
       << setw(10) << particlePtr->mMin() << " "
       << setw(10) << particlePtr->mMax() << " "
       << scientific << setprecision(5)
       << setw(12) << particlePtr->tau0() << "\n";

    // Loop through the decay channel table for each particle.
    if (particlePtr->sizeChannels() > 0) {
      for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
        const DecayChannel& channel = particlePtr->channel(i);
        os << "               " << setw(6) << channel.onMode()
           << "  " << fixed << setprecision(7) << setw(10)
           << channel.bRatio() << "  "
           << setw(3) << channel.meMode() << " ";
        for (int j = 0; j < channel.multiplicity(); ++j)
          os << setw(8) << channel.product(j) << " ";
        os << "\n";
      }
    }

  }

}

//--------------------------------------------------------------------------

// Read in updates from a character string, like a line of a file.
// Is used by readString (and readFile) in Pythia.

  bool ParticleData::readString(string lineIn, bool warn, ostream& os) {

  // If empty line then done.
  if (lineIn.find_first_not_of(" \n\t\v\b\r\f\a") == string::npos) return true;

  // Take copy that will be modified.
  string line = lineIn;

  // If first character is not a digit then taken to be a comment.
  int firstChar = line.find_first_not_of(" \n\t\v\b\r\f\a");
  if (!isdigit(line[firstChar])) return true;

  // Replace colons and equal signs by blanks to make parsing simpler.
  for ( int j = 0; j < int(line.size()); ++ j)
     if (line[j] == ':' || line[j] == '=') line[j] = ' ';

  // Get particle id and property name.
  int    idTmp;
  string property;
  istringstream getWord(line);
  getWord >> idTmp >> property;
  property = toLower(property);
  
  // Check that valid particle.
  if ( (!isParticle(idTmp) && property  != "all" && property  != "new")
  || idTmp <= 0) {
    if (warn) os << "\n PYTHIA Error: input particle not found in Particle"
      << " Data Table:\n   " << lineIn << "\n";
    readingFailedSave = true;
    return false;
  }

  // Identify particle property and read + set its value, case by case.
  if (property == "name") {
    string nameTmp;
    getWord >> nameTmp;
    pdt[idTmp].setName(nameTmp);
    return true;
  }
  if (property == "antiname") {
    string antiNameTmp;
    getWord >> antiNameTmp;
    pdt[idTmp].setAntiName(antiNameTmp);
    return true;
  }
  if (property == "names") {
    string nameTmp, antiNameTmp;
    getWord >> nameTmp >> antiNameTmp;
    pdt[idTmp].setNames(nameTmp, antiNameTmp);
    return true;
  }
  if (property == "spintype") {
    int spinTypeTmp;
    getWord >> spinTypeTmp;
    pdt[idTmp].setSpinType(spinTypeTmp);
    return true;
  }
  if (property == "chargetype") {
    int chargeTypeTmp;
    getWord >> chargeTypeTmp;
    pdt[idTmp].setChargeType(chargeTypeTmp);
    return true;
  }
  if (property == "coltype") {
    int colTypeTmp;
    getWord >> colTypeTmp;
    pdt[idTmp].setColType(colTypeTmp);
    return true;
  }
  if (property == "m0") {
    double m0Tmp;
    getWord >> m0Tmp;
    pdt[idTmp].setM0(m0Tmp);
    return true;
  }
  if (property == "mwidth") {
    double mWidthTmp;
    getWord >> mWidthTmp;
    pdt[idTmp].setMWidth(mWidthTmp);
    return true;
  }
  if (property == "mmin") {
    double mMinTmp;
    getWord >> mMinTmp;
    pdt[idTmp].setMMin(mMinTmp);
    return true;
  }
  if (property == "mmax") {
    double mMaxTmp;
    getWord >> mMaxTmp;
    pdt[idTmp].setMMax(mMaxTmp);
    return true;
  }
  if (property == "tau0") {
    double tau0Tmp;
    getWord >> tau0Tmp;
    pdt[idTmp].setTau0(tau0Tmp);
    return true;
  }
  if (property == "isresonance") {
    string isresTmp;
    getWord >> isresTmp;
    bool isResonanceTmp = boolString(isresTmp);
    pdt[idTmp].setIsResonance(isResonanceTmp);
    return true;
  }
  if (property == "maydecay") {
    string mayTmp;
    getWord >> mayTmp;
    bool mayDecayTmp = boolString(mayTmp);
    pdt[idTmp].setMayDecay(mayDecayTmp);
    return true;
  }
  if (property == "doexternaldecay") {
    string extdecTmp;
    getWord >> extdecTmp;
    bool doExternalDecayTmp = boolString(extdecTmp);
    pdt[idTmp].setDoExternalDecay(doExternalDecayTmp);
    return true;
  }
  if (property == "isvisible") {
    string isvisTmp;
    getWord >> isvisTmp;
    bool isVisibleTmp = boolString(isvisTmp);
    pdt[idTmp].setIsVisible(isVisibleTmp);
    return true;
  }
  if (property == "doforcewidth") {
    string doforceTmp;
    getWord >> doforceTmp;
    bool doForceWidthTmp = boolString(doforceTmp);
    pdt[idTmp].setDoForceWidth(doForceWidthTmp);
    return true;
  }
   
  // Addition or complete replacement of a particle.
  if (property == "all" || property == "new") {

    // Default values for properties to be read.
    string nameTmp       = "void";
    string antiNameTmp   = "void";
    int    spinTypeTmp   = 0;
    int    chargeTypeTmp = 0;
    int    colTypeTmp    = 0;
    double m0Tmp         = 0.;
    double mWidthTmp     = 0.;
    double mMinTmp       = 0.;
    double mMaxTmp       = 0.;
    double tau0Tmp       = 0.;

    // Read in data from stream.
    getWord >> nameTmp >> antiNameTmp >> spinTypeTmp >> chargeTypeTmp
            >> colTypeTmp >> m0Tmp >> mWidthTmp >> mMinTmp >> mMaxTmp
            >> tau0Tmp;

    // To keep existing decay channels, only overwrite particle data.
    if (property == "all" && isParticle(idTmp)) {
      setAll( idTmp, nameTmp, antiNameTmp, spinTypeTmp, chargeTypeTmp,
        colTypeTmp, m0Tmp, mWidthTmp, mMinTmp, mMaxTmp, tau0Tmp);

    // Else start over completely from scratch.
    } else {
      if (isParticle(idTmp)) pdt.erase(idTmp);
      addParticle( idTmp, nameTmp, antiNameTmp, spinTypeTmp, chargeTypeTmp,
        colTypeTmp, m0Tmp, mWidthTmp, mMinTmp, mMaxTmp, tau0Tmp);
    }
    return true;
  }

  // Set onMode of all decay channels in one go.
  if (property == "onmode") {
      int    onMode = 0;
      string onModeIn;
      getWord >> onModeIn;
      // For onMode allow the optional possibility of Bool input.
      if (isdigit(onModeIn[0])) {
        istringstream getOnMode(onModeIn);
        getOnMode >> onMode;
      } else onMode = (boolString(onModeIn)) ? 1 : 0;
    for (int i = 0; i < pdt[idTmp].sizeChannels(); ++i)
      pdt[idTmp].channel(i).onMode(onMode);
    return true;
  }

  // Selective search for matching decay channels.
  int matchKind = 0;
  if (property == "offifany" || property == "onifany" ||
    property == "onposifany" || property == "onnegifany") matchKind = 1;
  if (property == "offifall" || property == "onifall" ||
    property == "onposifall" || property == "onnegifall") matchKind = 2;
  if (property == "offifmatch" || property == "onifmatch" ||
    property == "onposifmatch" || property == "onnegifmatch") matchKind = 3;
  if (matchKind > 0) {
    int onMode = 0;
    if (property == "onifany" || property == "onifall"
      || property == "onifmatch") onMode = 1;
    if (property == "onposifany" || property == "onposifall"
      || property == "onposifmatch") onMode = 2;
    if (property == "onnegifany" || property == "onnegifall"
      || property == "onnegifmatch") onMode = 3;

    // Read in particles to match.
    vector idToMatch;
    int idRead;
    for ( ; ; ) {
      getWord >> idRead;
      if (!getWord) break;
      idToMatch.push_back(abs(idRead));
    }
    int nToMatch = idToMatch.size();
  
    // Loop over all decay channels.
    for (int i = 0; i < pdt[idTmp].sizeChannels(); ++i) {
      int multi = pdt[idTmp].channel(i).multiplicity();

      // Look for any match at all.
      if (matchKind == 1) {
        bool foundMatch = false;
        for (int j = 0; j < multi; ++j) {
          int idNow =  abs(pdt[idTmp].channel(i).product(j));
          for (int k = 0; k < nToMatch; ++k)
          if (idNow == idToMatch[k]) {foundMatch = true; break;}
          if (foundMatch) break;
        }
        if (foundMatch) pdt[idTmp].channel(i).onMode(onMode);

      // Look for match of all products provided.
      } else {
        int nUnmatched = nToMatch;
        if (multi < nToMatch);
        else if (multi > nToMatch && matchKind == 3);
        else {
          vector idUnmatched;
          for (int k = 0; k < nToMatch; ++k)
            idUnmatched.push_back(idToMatch[k]);
          for (int j = 0; j < multi; ++j) {
            int idNow =  abs(pdt[idTmp].channel(i).product(j));
            for (int k = 0; k < nUnmatched; ++k)
            if (idNow == idUnmatched[k]) {
              idUnmatched[k] = idUnmatched[--nUnmatched];
              break;
            }
            if (nUnmatched == 0) break;
          }
        }
        if (nUnmatched == 0) pdt[idTmp].channel(i).onMode(onMode);
      }
    }
    return true;
  }

  // Rescale all branching ratios by common factor.
  if (property == "rescalebr") {
    double factor;
    getWord >> factor;
    pdt[idTmp].rescaleBR(factor);
    return true;
  }

  // Reset decay table in preparation for new input.
  if (property == "onechannel") pdt[idTmp].clearChannels();

  // Add or change a decay channel: get channel number and new property.
  if (property == "addchannel" || property == "onechannel"
    || isdigit(property[0])) {
    int channel;
    if (property == "addchannel" || property == "onechannel") {
      pdt[idTmp].addChannel();
      channel = pdt[idTmp].sizeChannels() - 1;
      property = "all";
    } else{
      istringstream getChannel(property);
      getChannel >> channel;
      getWord >> property;
      property = toLower(property);
    }

    // Check that channel exists.
    if (channel < 0 || channel >= pdt[idTmp].sizeChannels()) return false;
  
    // Find decay channel property and value, case by case.
    // At same time also do case where all should be replaced.
    if (property == "onmode" || property == "all") {
      int    onMode = 0;
      string onModeIn;
      getWord >> onModeIn;
      // For onMode allow the optional possibility of Bool input.
      if (isdigit(onModeIn[0])) {
        istringstream getOnMode(onModeIn);
        getOnMode >> onMode;
      } else onMode = (boolString(onModeIn)) ? 1 : 0;
      pdt[idTmp].channel(channel).onMode(onMode);
      if (property == "onmode") return true;
    }
    if (property == "bratio" || property == "all") {
      double bRatio;
      getWord >> bRatio;
      pdt[idTmp].channel(channel).bRatio(bRatio);
      if (property == "bratio") return true;
    }
    if (property == "memode" || property == "all") {
      int meMode;
      getWord >> meMode;
      pdt[idTmp].channel(channel).meMode(meMode);
      if (property == "memode") return true;
    }

    // Scan for products until end of line.
    if (property == "products" || property == "all") {
      int nProd = 0;
      for (int iProd = 0; iProd < 8; ++iProd) {
        int idProd;
        getWord >> idProd;
        if (!getWord) break;
        pdt[idTmp].channel(channel).product(iProd, idProd);
        ++nProd;
      }
      for (int iProd = nProd; iProd < 8; ++iProd)
        pdt[idTmp].channel(channel).product(iProd, 0);
      pdt[idTmp].channel(channel).multiplicity(nProd);
      return true;
    }

    // Rescale an existing branching ratio.
    if (property == "rescalebr") {
      double factor;
      getWord >> factor;
      pdt[idTmp].channel(channel).rescaleBR(factor);
      return true;
    }
  }

  // Return false if failed to recognize property.
  if (warn) os << "\n PYTHIA Error: input property not found in Particle"
    << " Data Table:\n   " << lineIn << "\n";
  readingFailedSave = true;
  return false;

}

//--------------------------------------------------------------------------
 
// Print out complete or changed table of database in numerical order.

void ParticleData::list(bool changedOnly, bool changedRes, ostream& os) {

  // Table header; output for bool as off/on.
  if (!changedOnly) {
    os << "\n --------  PYTHIA Particle Data Table (complete)  --------"
       << "------------------------------------------------------------"
       << "--------------\n \n";

  } else {
    os << "\n --------  PYTHIA Particle Data Table (changed only)  ----"
       << "------------------------------------------------------------"
       << "--------------\n \n";
  }
  os << "      id   name            antiName         spn chg col      m0"
     << "        mWidth      mMin       mMax       tau0    res dec ext "
     << "vis wid\n             no onMode   bRatio   meMode     products \n";

  // Iterate through the particle data table. Option to skip unchanged.
  int nList = 0;
  for (map::iterator pdtEntry
    = pdt.begin(); pdtEntry != pdt.end(); ++pdtEntry) {
    particlePtr = &pdtEntry->second;
    if ( !changedOnly || particlePtr->hasChanged() ||
      ( changedRes && particlePtr->getResonancePtr() != 0 ) ) {

      // Pick format for mass and width based on mass value.
      double m0Now = particlePtr->m0();
      if (m0Now == 0 || (m0Now > 0.1 && m0Now < 1000.))
        os << fixed << setprecision(5);
      else os << scientific << setprecision(3);

      // Print particle properties.
      ++nList;
      os << "\n" << setw(8) << particlePtr->id() << "  " << left;
      if (particlePtr->name(-1) == "void") 
        os << setw(33) << particlePtr->name() << "  ";
      else os << setw(16) << particlePtr->name() << " "
         << setw(16) << particlePtr->name(-1) << "  ";
      os << right << setw(2) << particlePtr->spinType() << "  "
         << setw(2) << particlePtr->chargeType() << "  "
         << setw(2) << particlePtr->colType() << " "
         << setw(10) << particlePtr->m0() << " "
         << setw(10) << particlePtr->mWidth() << " "
         << setw(10) << particlePtr->mMin() << " "
         << setw(10) << particlePtr->mMax() << " "
         << scientific << setprecision(5)
         << setw(12) << particlePtr->tau0() << "  " << setw(2)
         << particlePtr->isResonance() << "  " << setw(2)
         << (particlePtr->mayDecay() && particlePtr->canDecay())
         << "  " << setw(2) << particlePtr->doExternalDecay() << "  "
         << setw(2) << particlePtr->isVisible()<< "  "
         << setw(2) << particlePtr->doForceWidth() << "\n";

      // Loop through the decay channel table for each particle.
      if (particlePtr->sizeChannels() > 0) {
        for (int i = 0; i < int(particlePtr->sizeChannels()); ++i) {
          const DecayChannel& channel = particlePtr->channel(i);
          os << "          "  << setprecision(7)
             << setw(5) << i
             << setw(6) << channel.onMode()
             << fixed<< setw(12) << channel.bRatio()
             << setw(5) << channel.meMode() << " ";
          for (int j = 0; j < channel.multiplicity(); ++j)
            os << setw(8) << channel.product(j) << " ";
          os << "\n";
        }
      }
    }

  }

  // End of loop over database contents.
  if (changedOnly && nList == 0) os << "\n no particle data has been "
    << "changed from its default value \n";
  os << "\n --------  End PYTHIA Particle Data Table  -----------------"
     << "--------------------------------------------------------------"
     << "----------\n" << endl;

}

//--------------------------------------------------------------------------
 
// Print out partial table of database in input order.

void ParticleData::list(vector idList, ostream& os) {

  // Table header; output for bool as off/on.
  os << "\n --------  PYTHIA Particle Data Table (partial)  ---------"
     << "------------------------------------------------------------"
     << "--------------\n \n";
  os << "      id   name            antiName         spn chg col      m0"
     << "        mWidth      mMin       mMax       tau0    res dec ext "
     << "vis wid\n             no onMode   bRatio   meMode     products \n";

  // Iterate through the given list of input particles.
  for (int i = 0; i < int(idList.size()); ++i) {
    particlePtr = particleDataEntryPtr(idList[i]);

    // Pick format for mass and width based on mass value.
    double m0Now = particlePtr->m0();
    if (m0Now == 0 || (m0Now > 0.1 && m0Now < 1000.))
      os << fixed << setprecision(5);
    else os << scientific << setprecision(3);

    // Print particle properties.
    os << "\n" << setw(8) << particlePtr->id() << "  " << left;
    if (particlePtr->name(-1) == "void") 
      os << setw(33) << particlePtr->name() << "  ";
    else os << setw(16) << particlePtr->name() << " "
       << setw(16) << particlePtr->name(-1) << "  ";
    os << right << setw(2) << particlePtr->spinType() << "  "
       << setw(2) << particlePtr->chargeType() << "  "
       << setw(2) << particlePtr->colType() << " "
       << setw(10) << particlePtr->m0() << " "
       << setw(10) << particlePtr->mWidth() << " "
       << setw(10) << particlePtr->mMin() << " "
       << setw(10) << particlePtr->mMax() << " "
       << scientific << setprecision(5)
       << setw(12) << particlePtr->tau0() << "  " << setw(2)
       << particlePtr->isResonance() << "  " << setw(2)
       << (particlePtr->mayDecay() && particlePtr->canDecay())
       << "  " << setw(2) << particlePtr->doExternalDecay() << "  "
       << setw(2) << particlePtr->isVisible() << "  "
       << setw(2) << particlePtr->doForceWidth() << "\n";

    // Loop through the decay channel table for each particle.
    if (particlePtr->sizeChannels() > 0) {
      for (int j = 0; j < int(particlePtr->sizeChannels()); ++j) {
        const DecayChannel& channel = particlePtr->channel(j);
        os << "          "  << setprecision(7)
           << setw(5) << j
           << setw(6) << channel.onMode()
           << fixed<< setw(12) << channel.bRatio()
           << setw(5) << channel.meMode() << " ";
        for (int k = 0; k < channel.multiplicity(); ++k)
          os << setw(8) << channel.product(k) << " ";
        os << "\n";
      }
    }

  }

  // End of loop over database contents.
  os << "\n --------  End PYTHIA Particle Data Table  -----------------"
     << "--------------------------------------------------------------"
     << "----------\n" << endl;

}

//--------------------------------------------------------------------------
 
// Check that table makes sense: e.g. consistent names and mass ranges,
// that branching ratios sum to unity, that charge is conserved and
// that phase space is open in each channel.
// verbosity = 0: mimimal amount of checks, e.g. that no channels open.
//           = 1: further warning if individual channels closed
//                (except for resonances).
//           = 2:  also print branching-ratio-averaged threshold mass.
//      = 11, 12: as 1, 2, but include resonances in detailed checks.

void ParticleData::checkTable(int verbosity, ostream& os) {

  // Header.
  os << "\n --------  PYTHIA Check of Particle Data Table  ------------"
     <<"------\n\n";
  int nErr = 0;

  // Loop through all particles.
  for (map::iterator pdtEntry
  = pdt.begin(); pdtEntry != pdt.end(); ++pdtEntry) {
    particlePtr = &pdtEntry->second;
  
    // Extract some particle properties. Set some flags.
    int    idNow          = particlePtr->id();
    bool   hasAntiNow     = particlePtr->hasAnti();
    int    spinTypeNow    = particlePtr->spinType();
    int    chargeTypeNow  = particlePtr->chargeType();
    int    baryonTypeNow  = particlePtr->baryonNumberType();
    double m0Now          = particlePtr->m0();
    double mMinNow        = particlePtr->mMin();
    double mMaxNow        = particlePtr->mMax();
    double mWidthNow      = particlePtr->mWidth();
    double tau0Now        = particlePtr->tau0();
    bool   isResonanceNow = particlePtr->isResonance();
    bool   hasPrinted     = false;
    bool   studyCloser    = verbosity > 10 || !isResonanceNow;

    // Check that particle name consistent with charge information.
    string particleName = particlePtr->name(1);
    if (particleName.size() > 16) {
      os << " Warning: particle " << idNow << " has name " << particleName
         << " of length " << particleName.size() << "\n";
      hasPrinted = true;
      ++nErr;
    }
    int nPos = 0;
    int nNeg = 0;
    for (int i = 0; i < int(particleName.size()); ++i) {
      if (particleName[i] == '+') ++nPos;
      if (particleName[i] == '-') ++nNeg;
    }
    if ( (nPos > 0 && nNeg > 0) || ( nPos + nNeg > 0
      && 3 * (nPos - nNeg) != chargeTypeNow )) {
      os << " Warning: particle " << idNow << " has name " << particleName
         << " inconsistent with charge type " << chargeTypeNow << "\n";
      hasPrinted = true;
      ++nErr;
    }

    // Check that antiparticle name consistent with charge information.
    if (hasAntiNow) {
      particleName = particlePtr->name(-1);
      if (particleName.size() > 16) {
        os << " Warning: particle " << idNow << " has name " << particleName
           << " of length " << particleName.size() << "\n";
        hasPrinted = true;
        ++nErr;
      }
      nPos = 0;
      nNeg = 0;
      for (int i = 0; i < int(particleName.size()); ++i) {
        if (particleName[i] == '+') ++nPos;
        if (particleName[i] == '-') ++nNeg;
      }
      if ( (nPos > 0 && nNeg > 0) || ( nPos + nNeg > 0
        && 3 * (nPos - nNeg) != -chargeTypeNow )) {
        os << " Warning: particle " << -idNow << " has name "
           << particleName << " inconsistent with charge type "
           << -chargeTypeNow << "\n";
        hasPrinted = true;
        ++nErr;
      }
    }

    // Check that mass, mass range and width are consistent.
    if (particlePtr->useBreitWigner()) {
      if (mMinNow > m0Now) {
        os << " Error: particle " << idNow << " has mMin "
           << fixed << setprecision(5) << mMinNow
           << " larger than m0 " << m0Now << "\n";
        hasPrinted = true;
        ++nErr;
      }
      if (mMaxNow > mMinNow && mMaxNow < m0Now) {
        os << " Error: particle " << idNow << " has mMax "
           << fixed << setprecision(5) << mMaxNow
           << " smaller than m0 " << m0Now << "\n";
        hasPrinted = true;
        ++nErr;
      }
      if (mMaxNow > mMinNow && mMaxNow - mMinNow < mWidthNow) {
        os << " Warning: particle " << idNow << " has mMax - mMin "
           << fixed << setprecision(5) << mMaxNow - mMinNow
           << " smaller than mWidth " << mWidthNow << "\n";
        hasPrinted = true;
        ++nErr;
      }
    }

    // Check that particle does not both have width and lifetime.
    if (mWidthNow > 0. && tau0Now > 0.) {
      os << " Warning: particle " << idNow << " has both nonvanishing width "
         << scientific << setprecision(5) << mWidthNow << " and lifetime "
         << tau0Now << "\n";
      hasPrinted = true;
      ++nErr;
    }

    // Begin study decay channels.
    if (particlePtr->sizeChannels() > 0) {
 
      // Loop through all decay channels.
      double bRatioSum = 0.;
      double bRatioPos = 0.;
      double bRatioNeg = 0.;
      bool hasPosBR = false;
      bool hasNegBR = false;
      double threshMass = 0.;
      bool openChannel = false;
      for (int i = 0; i < particlePtr->sizeChannels(); ++i) {

        // Extract channel properties.
        int onMode = particlePtr->channel(i).onMode();
        double bRatio = particlePtr->channel(i).bRatio();
        int meMode = particlePtr->channel(i).meMode();
        int mult = particlePtr->channel(i).multiplicity();
        int prod[8];
        for (int j = 0; j < 8; ++j)
          prod[j] = particlePtr->channel(i).product(j);

        // Sum branching ratios. Include off-channels.
        if (onMode == 0 || onMode == 1) bRatioSum += bRatio;
        else if (onMode == 2) {bRatioPos += bRatio; hasPosBR = true;}
        else if (onMode == 3) {bRatioNeg += bRatio; hasNegBR = true;}

        // Error printout when unknown decay product code.
        for (int j = 0; j < 8; ++j) {
          if ( prod[j] != 0 && !isParticle(prod[j]) ) {
            os << " Error: unknown decay product for " << idNow
               << " -> " << prod[j] << "\n";
            hasPrinted = true;
            ++nErr;
            continue;
          }
        }

        // Error printout when no decay products or 0 interspersed.
        int nLast = 0;
        for (int j = 0; j < 8; ++j)
          if (prod[j] != 0) nLast = j + 1;
        if (mult == 0 || mult != nLast) {
          os << " Error: corrupted decay product list for "
             <<  particlePtr->id() << " -> ";
          for (int j = 0; j < 8; ++j) os << prod[j] << " ";
          os << "\n";
          hasPrinted = true;
          ++nErr;
          continue;
        }

        // Check charge conservation and open phase space in decay channel.
        int chargeTypeSum = -chargeTypeNow;
        int baryonTypeSum = -baryonTypeNow;
        double avgFinalMass = 0.;
        double minFinalMass = 0.;
        bool canHandle = true;
        for (int j = 0; j < mult; ++j) {
          chargeTypeSum += chargeType( prod[j] );
          baryonTypeSum += baryonNumberType( prod[j] );
          avgFinalMass += m0( prod[j] );
          minFinalMass += m0Min( prod[j] );
          if (prod[j] == 81 || prod[j] == 82 || prod[j] == 83)
            canHandle = false;
        }
        threshMass += bRatio * avgFinalMass;

        // Error printout when charge or baryon number not conserved.
        if (chargeTypeSum != 0 && canHandle) {
          os << " Error: 3*charge changed by " << chargeTypeSum
             << " in " << idNow << " -> ";
          for (int j = 0; j < mult; ++j) os << prod[j] << " ";
          os << "\n";
          hasPrinted = true;
          ++nErr;
          continue;
        }
        if ( baryonTypeSum != 0 && canHandle && particlePtr->isHadron() ) {
          os << " Error: 3*baryon number changed by " << baryonTypeSum
             << " in " << idNow << " -> ";
          for (int j = 0; j < mult; ++j) os << prod[j] << " ";
          os << "\n";
          hasPrinted = true;
          ++nErr;
          continue;
        }

        // Begin check that some matrix elements are used correctly.
        bool correctME = true;

        // Check matrix element mode 0: recommended not into partons.
        if (meMode == 0 && !isResonanceNow) {
          bool hasPartons = false;
          for (int j = 0; j < mult; ++j) {
            int idAbs = abs(prod[j]);
            if ( idAbs < 10 || idAbs == 21 || idAbs == 81 || idAbs == 82
            || idAbs == 83 || (idAbs > 1000 && idAbs < 10000
            && (idAbs/10)%10 == 0) ) hasPartons = true;
          }
          if (hasPartons) correctME = false;
        }

        // Check matrix element mode 1: rho/omega -> pi+ pi- pi0.
        bool useME1 = ( mult == 3 && spinTypeNow == 3 && idNow > 100
          && idNow < 1000
          && particlePtr->channel(i).contains(211, -211, 111) );
        if ( meMode == 1 && !useME1 ) correctME = false;
        if ( meMode != 1 &&  useME1 ) correctME = false;

        // Check matrix element mode 2: polarization in V -> PS + PS.
        bool useME2 = ( mult == 2 && spinTypeNow == 3  && idNow > 100
          && idNow < 1000 && spinType(prod[0]) == 1
          && spinType(prod[1]) == 1 );
        if ( meMode == 2 && !useME2 ) correctME = false;
        if ( meMode != 2 &&  useME2 ) correctME = false;

        // Check matrix element mode 11, 12 and 13: Dalitz decay with
        // one or more particles in addition to the lepton pair,
        // or double Dalitz decay.
        bool useME11 = ( mult == 3 && !isResonanceNow
          && (prod[1] == 11 || prod[1] == 13 || prod[1] == 15)
          && prod[2] == -prod[1] );
        bool useME12 = ( mult > 3 && !isResonanceNow
          && (prod[mult - 2] == 11 || prod[mult - 2] == 13
          || prod[mult - 2] == 15) && prod[mult - 1] == -prod[mult - 2] );
        bool useME13 = ( mult == 4 && !isResonanceNow
          && (prod[0] == 11 || prod[0] == 13) && prod[1] == -prod[0]
          && (prod[2] == 11 || prod[2] == 13) && prod[3] == -prod[2] );
        if (useME13) useME12 = false;
        if ( meMode == 11 && !useME11 ) correctME = false;
        if ( meMode != 11 &&  useME11 ) correctME = false;
        if ( meMode == 12 && !useME12 ) correctME = false;
        if ( meMode != 12 &&  useME12 ) correctME = false;
        if ( meMode == 13 && !useME13 ) correctME = false;
        if ( meMode != 13 &&  useME13 ) correctME = false;

        // Check matrix element mode 21: tau -> nu_tau hadrons.
        bool useME21 = (idNow == 15 && mult > 2 && prod[0] == 16
          && abs(prod[1]) > 100);
        if ( meMode == 21 && !useME21 ) correctME = false;
        if ( meMode != 21 &&  useME21 ) correctME = false;

        // Check matrix element mode 22, but only for semileptonic decay.
        // For a -> b c d require types u = 2, ubar = -2, d = 1, dbar = -1.
        if ( isLepton(prod[0]) && isLepton(prod[1]) ) {
          bool useME22 = false;
          int typeA = 0;
          int typeB = 0;
          int typeC = 0;
          if (particlePtr->isLepton()) {
            typeA = (idNow > 0) ? 1 + (idNow-1)%2 : -1 - (1-idNow)%2;
          } else if (particlePtr->isHadron()) {
            int hQ = particlePtr->heaviestQuark();
            // Special case: for B_c either bbar or c decays.
            if (idNow == 541 && heaviestQuark(prod[2]) == -5) hQ = 4;
            typeA = (hQ > 0) ? 1 + (hQ-1)%2 : -1 - (1-hQ)%2;
          }
          typeB = (prod[0] > 0) ? 1 + (prod[0]-1)%2 : -1 - (1-prod[0])%2;
          typeC = (prod[1] > 0) ? 1 + (prod[1]-1)%2 : -1 - (1-prod[1])%2;
          // Special cases.
          if ( (idNow == 130 || idNow == 310) && typeC * typeA < 0)
            typeA = -typeA;
          if (mult == 3 && idNow == 2112 && prod[2] == 2212)
            typeA = 3 - typeA;
          if (mult == 3 && idNow == 3222 && prod[2] == 3122)
            typeA = 3 - typeA;
          if (mult > 2 && typeC == typeA && typeB * typeC < 0
            && (typeB + typeC)%2 != 0) useME22 = true;
          if ( meMode == 22 && !useME22 ) correctME = false;
          if ( meMode != 22 &&  useME22 ) correctME = false;
        }

        // Check for matrix element mode 31.
        if (meMode == 31) {
          int nGamma = 0;
          for (int j = 0; j < mult; ++j) if (prod[j] == 22) ++nGamma;
          if (nGamma != 1) correctME = false;
        }

        // Check for unknown mode, or resonance-only mode.
        if ( !isResonanceNow && (meMode < 0 || (meMode > 2 && meMode <= 10)
          || (meMode > 13 && meMode <= 20) || (meMode > 23 && meMode <= 30)
          || (meMode > 31 && meMode <= 41) || meMode == 51 || meMode == 61
          || meMode == 71 || (meMode > 80 && meMode <= 90)
          || (!particlePtr->isOctetHadron() && meMode > 92) ) )
          correctME = false;

        // Print if incorrect matrix element mode.
        if ( !correctME ) {
          os << " Warning: meMode " << meMode << " used for "
             << idNow << " -> ";
          for (int j = 0; j < mult; ++j) os << prod[j] << " ";
          os << "\n";
          hasPrinted = true;
          ++nErr;
        }

        // Warning printout when no phase space for decay.
        if ( studyCloser && verbosity > 0  && canHandle && onMode > 0
          && particlePtr->m0Min() - minFinalMass < 0. ) {
          if (particlePtr->m0Max() - minFinalMass < 0.)
            os << " Error: decay never possible for ";
          else  os << " Warning: decay sometimes not possible for ";
          os << idNow << " -> ";
          for (int j = 0; j < mult; ++j) os << prod[j] << " ";
          os << "\n";
          hasPrinted = true;
          ++nErr;
        }

        // End loop over decay channels.
        if (onMode > 0 && bRatio > 0.) openChannel = true;
      }

      // Optional printout of threshold.
      if (verbosity%10 > 1 && particlePtr->useBreitWigner()) {
        threshMass /= bRatioSum;
        os << " Info: particle " << idNow << fixed << setprecision(5)
           << " has average mass threshold " << threshMass
           << " while mMin is " << mMinNow << "\n";
        hasPrinted = true;
      }
 
      // Error printout when no acceptable decay channels found.
      if (studyCloser && !openChannel) {
        os << " Error: no acceptable decay channel found for particle "
           << idNow << "\n";
        hasPrinted = true;
        ++nErr;
      }

      // Warning printout when branching ratios do not sum to unity.
      if (studyCloser && (!hasAntiNow || (!hasPosBR && !hasNegBR))
        && abs(bRatioSum + bRatioPos - 1.) > 1e-8) {
        os << " Warning: particle " << idNow  << fixed << setprecision(8)
           << " has branching ratio sum " << bRatioSum << "\n";
        hasPrinted = true;
        ++nErr;
      } else if (studyCloser && hasAntiNow
        && (abs(bRatioSum + bRatioPos - 1.) > 1e-8
        || abs(bRatioSum + bRatioNeg - 1.) > 1e-8)) {
        os << " Warning: particle " << idNow  << fixed << setprecision(8)
           << " has branching ratio sum " << bRatioSum + bRatioPos
           << " while its antiparticle has " << bRatioSum + bRatioNeg
           << "\n";
        hasPrinted = true;
        ++nErr;
      }

    // End study of decay channels and loop over particles.
    }
    if (hasPrinted) os << "\n";
  }

  // Final output. Done.
  os << " Total number of errors and warnings is " << nErr << "\n";
  os << "\n --------  End PYTHIA Check of Particle Data Table  --------"
     << "------\n" << endl;

}

//--------------------------------------------------------------------------

// Return the id of the sequentially next particle stored in table.
  
int ParticleData::nextId(int idIn) {

  // Return 0 for negative or unknown codes. Return first for 0.
  if (idIn < 0 || (idIn > 0 && !isParticle(idIn))) return 0;
  if (idIn == 0) return pdt.begin()->first;
  
  // Find pointer to current particle and step up. Return 0 if impossible.
  map::const_iterator pdtIn = pdt.find(idIn);
  if (pdtIn == pdt.end()) return 0;
  ++pdtIn;
  if (pdtIn == pdt.end()) return 0;
  return pdtIn->first;

}

//--------------------------------------------------------------------------

// Fractional width associated with open channels of one or two resonances.
   
double ParticleData::resOpenFrac(int id1In, int id2In, int id3In) {

  // Default value.
  double answer = 1.;
 
  // First resonance.
  if (isParticle(id1In)) answer  = pdt[abs(id1In)].resOpenFrac(id1In);
 
  // Possibly second resonance.
  if (isParticle(id2In)) answer *= pdt[abs(id2In)].resOpenFrac(id2In);
 
  // Possibly third resonance.
  if (isParticle(id3In)) answer *= pdt[abs(id2In)].resOpenFrac(id3In);

  // Done.
  return answer;

}

//--------------------------------------------------------------------------

// Extract XML value string following XML attribute.

string ParticleData::attributeValue(string line, string attribute) {

  if (line.find(attribute) == string::npos) return "";
  int iBegAttri = line.find(attribute);
  int iBegQuote = line.find("\"", iBegAttri + 1);
  int iEndQuote = line.find("\"", iBegQuote + 1);
  return line.substr(iBegQuote + 1, iEndQuote - iBegQuote - 1);

}

//--------------------------------------------------------------------------

// Extract XML bool value following XML attribute.

bool ParticleData::boolAttributeValue(string line, string attribute) {

  string valString = attributeValue(line, attribute);
  if (valString == "") return false;
  return boolString(valString);

}

//--------------------------------------------------------------------------

// Extract XML int value following XML attribute.

int ParticleData::intAttributeValue(string line, string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return 0;
  istringstream valStream(valString);
  int intVal;
  valStream >> intVal;
  return intVal;

}

//--------------------------------------------------------------------------

// Extract XML double value following XML attribute.

double ParticleData::doubleAttributeValue(string line, string attribute) {
  string valString = attributeValue(line, attribute);
  if (valString == "") return 0.;
  istringstream valStream(valString);
  double doubleVal;
  valStream >> doubleVal;
  return doubleVal;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaEW.cc0000644000175000017500000030366212357054763014757 0ustar  sunsun// SigmaEW.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// electroweak simulation classes (including photon processes).

#include "Pythia8/SigmaEW.h"

namespace Pythia8 {

//==========================================================================

// Sigma2qg2qgamma class.
// Cross section for q g -> q gamma.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qg2qgamma::sigmaKin() {

  // Calculate kinematics dependence.
  sigUS  = (1./3.) * (sH2 + uH2) / (-sH * uH);

  // Answer.
  sigma0 =  (M_PI/sH2) * alpS * alpEM * sigUS;

  }

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qg2qgamma::sigmaHat() {

  // Incoming flavour gives charge factor.
  int idNow    = (id2 == 21) ? id1 : id2;
  double eNow  = couplingsPtr->ef( abs(idNow) );
  return sigma0 * pow2(eNow);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2qgamma::setIdColAcol() {

  // Construct outgoing flavours.
  id3 = (id1 == 21) ? 22 : id1;
  id4 = (id2 == 21) ? 22 : id2;
  setId( id1, id2, id3, id4);

  // Colour flow topology. Swap if first is gluon, or when antiquark.
  setColAcol( 1, 0, 2, 1, 2, 0, 0, 0);
  if (id1 == 21) swapCol1234();
  if (id1 < 0 || id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2ggamma class.
// Cross section for q qbar -> g gamma.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2ggamma::sigmaKin() {

  // Calculate kinematics dependence.
  double sigTU = (8./9.) * (tH2 + uH2) / (tH * uH);

  // Answer.
  sigma0 = (M_PI/sH2) * alpS * alpEM * sigTU;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2ggamma::sigmaHat() {

  // Incoming flavour gives charge factor.
  double eNow  = couplingsPtr->ef( abs(id1) );
  return sigma0 * pow2(eNow);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2ggamma::setIdColAcol() {

  // Outgoing flavours trivial.
  setId( id1, id2, 21, 22);

  // One colour flow topology. Swap if first is antiquark.
  setColAcol( 1, 0, 0, 2, 1, 2, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2ggamma class.
// Cross section for g g -> g gamma.
// Proceeds through a quark box, by default using 5 massless quarks.

//--------------------------------------------------------------------------

// Initialize process, especially parton-flux object.
  
void Sigma2gg2ggamma::initProc() {

  // Maximum quark flavour in loop.
  int nQuarkLoop = settingsPtr->mode("PromptPhoton:nQuarkLoop");

  // Calculate charge factor from the allowed quarks in the box.
  chargeSum                       = - 1./3. + 2./3. - 1./3.;
  if (nQuarkLoop >= 4) chargeSum += 2./3.;
  if (nQuarkLoop >= 5) chargeSum -= 1./3.;
  if (nQuarkLoop >= 6) chargeSum += 2./3.;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat).

void Sigma2gg2ggamma::sigmaKin() {

  // Logarithms of Mandelstam variable ratios.
  double logST = log( -sH / tH );
  double logSU = log( -sH / uH );
  double logTU = log(  tH / uH );

  // Real and imaginary parts of separate amplitudes.
  double b0stuRe = 1. + (tH - uH) / sH * logTU
    + 0.5 * (tH2 + uH2) / sH2 * (pow2(logTU) + pow2(M_PI));
  double b0stuIm = 0.;
  double b0tsuRe = 1. + (sH - uH) / tH * logSU
    + 0.5 * (sH2 + uH2) / tH2 * pow2(logSU);
  double b0tsuIm = -M_PI * ( (sH - uH) / tH + (sH2 + uH2) / tH2 * logSU);
  double b0utsRe = 1. + (sH - tH) / uH * logST
    + 0.5 * (sH2 + tH2) / uH2 * pow2(logST);
  double b0utsIm = -M_PI * ( (sH - tH) / uH + (sH2 + tH2) / uH2 * logST);
  double b1stuRe = -1.;
  double b1stuIm = 0.;
  double b2stuRe = -1.;
  double b2stuIm = 0.;

  // Calculate kinematics dependence.
  double sigBox = pow2(b0stuRe) + pow2(b0stuIm) + pow2(b0tsuRe)
    + pow2(b0tsuIm) + pow2(b0utsRe) + pow2(b0utsIm) + 4. * pow2(b1stuRe)
    + 4. * pow2(b1stuIm) + pow2(b2stuRe) + pow2(b2stuIm);
  
  // Answer.
  sigma = (5. / (192. * M_PI * sH2)) * pow2(chargeSum)
    * pow3(alpS) * alpEM * sigBox;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2ggamma::setIdColAcol() {

  // Flavours and colours are trivial.
  setId( id1, id2, 21, 22);
  setColAcol( 1, 2, 2, 3, 1, 3, 0, 0);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2gammagamma class.
// Cross section for q qbar -> gamma gamma.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2gammagamma::sigmaKin() {

  // Calculate kinematics dependence.
  sigTU  = 2. * (tH2 + uH2) / (tH * uH);

  // Answer contains factor 1/2 from identical photons.
  sigma0 = (M_PI/sH2) * pow2(alpEM) * 0.5 * sigTU;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2gammagamma::sigmaHat() {

  // Incoming flavour gives charge and colour factors.
  double eNow   = couplingsPtr->ef( abs(id1) );
  double colFac = (abs(id1) < 9) ? 1. / 3. : 1.;
  return  sigma0 * pow4(eNow) * colFac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2gammagamma::setIdColAcol() {

  // Outgoing flavours trivial.
  setId( id1, id2, 22, 22);

  // No colours at all or one flow topology. Swap if first is antiquark.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2gammagamma class.
// Cross section for g g -> gamma gamma.
// Proceeds through a quark box, by default using 5 massless quarks.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2gammagamma::initProc() {

  // Maximum quark flavour in loop.
  int nQuarkLoop = settingsPtr->mode("PromptPhoton:nQuarkLoop");

  // Calculate charge factor from the allowed quarks in the box.
  charge2Sum                       = 1./9. + 4./9. + 1./9.;
  if (nQuarkLoop >= 4) charge2Sum += 4./9.;
  if (nQuarkLoop >= 5) charge2Sum += 1./9.;
  if (nQuarkLoop >= 6) charge2Sum += 4./9.;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat).

void Sigma2gg2gammagamma::sigmaKin() {

  // Logarithms of Mandelstam variable ratios.
  double logST = log( -sH / tH );
  double logSU = log( -sH / uH );
  double logTU = log(  tH / uH );

  // Real and imaginary parts of separate amplitudes.
  double b0stuRe = 1. + (tH - uH) / sH * logTU
    + 0.5 * (tH2 + uH2) / sH2 * (pow2(logTU) + pow2(M_PI));
  double b0stuIm = 0.;
  double b0tsuRe = 1. + (sH - uH) / tH * logSU
    + 0.5 * (sH2 + uH2) / tH2 * pow2(logSU);
  double b0tsuIm = -M_PI * ( (sH - uH) / tH + (sH2 + uH2) / tH2 * logSU);
  double b0utsRe = 1. + (sH - tH) / uH * logST
    + 0.5 * (sH2 + tH2) / uH2 * pow2(logST);
  double b0utsIm = -M_PI * ( (sH - tH) / uH + (sH2 + tH2) / uH2 * logST);
  double b1stuRe = -1.;
  double b1stuIm = 0.;
  double b2stuRe = -1.;
  double b2stuIm = 0.;

  // Calculate kinematics dependence.
  double sigBox = pow2(b0stuRe) + pow2(b0stuIm) + pow2(b0tsuRe)
    + pow2(b0tsuIm) + pow2(b0utsRe) + pow2(b0utsIm) + 4. * pow2(b1stuRe)
    + 4. * pow2(b1stuIm) + pow2(b2stuRe) + pow2(b2stuIm);

  // Answer contains factor 1/2 from identical photons.
  sigma = (0.5 / (16. * M_PI * sH2)) * pow2(charge2Sum)
    * pow2(alpS) * pow2(alpEM) * sigBox;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2gammagamma::setIdColAcol() {

  // Flavours and colours are trivial.
  setId( id1, id2, 22, 22);
  setColAcol( 1, 2, 2, 1, 0, 0, 0, 0);

}

//==========================================================================

// Sigma2ff2fftgmZ class.
// Cross section for f f' -> f f' via t-channel gamma*/Z0 exchange
// (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ff2fftgmZ::initProc() {

  // Store Z0 mass for propagator. Common coupling factor.
  gmZmode   = settingsPtr->mode("WeakZ0:gmZmode");
  mZ        = particleDataPtr->m0(23);
  mZS       = mZ*mZ;
  thetaWRat = 1. / (16. * couplingsPtr->sin2thetaW()
            * couplingsPtr->cos2thetaW());

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ff2fftgmZ::sigmaKin() {

  // Cross section part common for all incoming flavours.
  double sigma0 = (M_PI / sH2) * pow2(alpEM);

  // Kinematical functions for gamma-gamma, gamma-Z and Z-Z parts.
  sigmagmgm = sigma0 * 2. * (sH2 + uH2) / tH2;
  sigmagmZ  = sigma0 * 4. * thetaWRat * sH2 / (tH * (tH - mZS));
  sigmaZZ   = sigma0 * 2. * pow2(thetaWRat) * sH2 / pow2(tH - mZS);
  if (gmZmode == 1) {sigmagmZ = 0.; sigmaZZ = 0.;}
  if (gmZmode == 2) {sigmagmgm = 0.; sigmagmZ = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ff2fftgmZ::sigmaHat() {

  // Couplings for current flavour combination.
  int id1Abs = abs(id1);
  double  e1 = couplingsPtr->ef(id1Abs);
  double  v1 = couplingsPtr->vf(id1Abs);
  double  a1 = couplingsPtr->af(id1Abs);
  int id2Abs = abs(id2);
  double  e2 = couplingsPtr->ef(id2Abs);
  double  v2 = couplingsPtr->vf(id2Abs);
  double  a2 = couplingsPtr->af(id2Abs);
  
  // Distinguish same-sign and opposite-sign fermions.
  double epsi = (id1 * id2 > 0) ? 1. : -1.;

  // Flavour-dependent cross section.
  double sigma = sigmagmgm * pow2(e1 * e2)
    + sigmagmZ * e1 * e2 * (v1 * v2 * (1. + uH2 / sH2)
      + a1 * a2 * epsi * (1. - uH2 / sH2))
    + sigmaZZ * ((v1*v1 + a1*a1) * (v2*v2 + a2*a2) * (1. + uH2 / sH2)
      + 4. * v1 * a1 * v2 * a2 * epsi * (1. - uH2 / sH2));

  // Spin-state extra factor 2 per incoming neutrino.
  if (id1Abs == 12 || id1Abs == 14 || id1Abs == 16) sigma *= 2.;
  if (id2Abs == 12 || id2Abs == 14 || id2Abs == 16) sigma *= 2.;
 
  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ff2fftgmZ::setIdColAcol() {

  // Trivial flavours: out = in.
  setId( id1, id2, id1, id2);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && abs(id2) < 9 && id1*id2 > 0)
                         setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  else if (abs(id1) < 9 && abs(id2) < 9)
                         setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  else if (abs(id1) < 9) setColAcol( 1, 0, 0, 0, 1, 0, 0, 0);
  else if (abs(id2) < 9) setColAcol( 0, 0, 1, 0, 0, 0, 1, 0);
  else                   setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if ( (abs(id1) < 9 && id1 < 0) || (abs(id1) > 10 && id2 < 0) )
    swapColAcol();

}

//==========================================================================

// Sigma2ff2fftW class.
// Cross section for f_1 f_2 -> f_3 f_4 via t-channel W+- exchange
// (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ff2fftW::initProc() {

  // Store W+- mass for propagator. Common coupling factor.
  mW        = particleDataPtr->m0(24);
  mWS       = mW*mW;
  thetaWRat = 1. / (4. * couplingsPtr->sin2thetaW());

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ff2fftW::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * pow2(alpEM * thetaWRat)
    * 4. * sH2 / pow2(tH - mWS);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ff2fftW::sigmaHat() {

  // Some flavour combinations not possible.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if ( (id1Abs%2 == id2Abs%2 && id1 * id2 > 0)
    || (id1Abs%2 != id2Abs%2 && id1 * id2 < 0) ) return 0.;

  // Basic cross section.
  double sigma = sigma0;
  if (id1 * id2 < 0) sigma *= uH2 / sH2;

  // CKM factors for final states.
  sigma *= couplingsPtr->V2CKMsum(id1Abs) *  couplingsPtr->V2CKMsum(id2Abs);

  // Spin-state extra factor 2 per incoming neutrino.
  if (id1Abs == 12 || id1Abs == 14 || id1Abs == 16) sigma *= 2.;
  if (id2Abs == 12 || id2Abs == 14 || id2Abs == 16) sigma *= 2.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ff2fftW::setIdColAcol() {

  // Pick out-flavours by relative CKM weights.
  id3 = couplingsPtr->V2CKMpick(id1);
  id4 = couplingsPtr->V2CKMpick(id2);
  setId( id1, id2, id3, id4);

  // Colour flow topologies. Swap when antiquarks.
  if      (abs(id1) < 9 && abs(id2) < 9 && id1*id2 > 0)
                         setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  else if (abs(id1) < 9 && abs(id2) < 9)
                         setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  else if (abs(id1) < 9) setColAcol( 1, 0, 0, 0, 1, 0, 0, 0);
  else if (abs(id2) < 9) setColAcol( 0, 0, 1, 0, 0, 0, 1, 0);
  else                   setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if ( (abs(id1) < 9 && id1 < 0) || (abs(id1) > 10 && id2 < 0) )
    swapColAcol();

}


//==========================================================================

// Sigma2qq2QqtW class.
// Cross section for q q' -> Q q" via t-channel W+- exchange.
// Related to Sigma2ff2ffViaW class, but with massive matrix elements.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qq2QqtW::initProc() {

  // Process name.
  nameSave                 = "q q -> Q q (t-channel W+-)";
  if (idNew == 4) nameSave = "q q -> c q (t-channel W+-)";
  if (idNew == 5) nameSave = "q q -> b q (t-channel W+-)";
  if (idNew == 6) nameSave = "q q -> t q (t-channel W+-)";
  if (idNew == 7) nameSave = "q q -> b' q (t-channel W+-)";
  if (idNew == 8) nameSave = "q q -> t' q (t-channel W+-)";

  // Store W+- mass for propagator. Common coupling factor.
  mW        = particleDataPtr->m0(24);
  mWS       = mW*mW;
  thetaWRat = 1. / (4. * couplingsPtr->sin2thetaW());

  // Secondary open width fractions, relevant for top (or heavier).
  openFracPos = particleDataPtr->resOpenFrac(idNew);
  openFracNeg = particleDataPtr->resOpenFrac(-idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qq2QqtW::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * pow2(alpEM * thetaWRat) * 4. / pow2(tH - mWS);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qq2QqtW::sigmaHat() {

  // Some flavour combinations not possible.
  int id1Abs  = abs(id1);
  int id2Abs  = abs(id2);
  bool diff12 = (id1Abs%2 != id2Abs%2);
  if ( (!diff12 && id1 * id2 > 0)
    || ( diff12 && id1 * id2 < 0) ) return 0.;

  // Basic cross section.
  double sigma = sigma0;
  sigma *= (id1 * id2 > 0) ? sH * (sH - s3) : uH * (uH - s3);

  // Secondary width if t or tbar produced on either side.
  double openFrac1 = (id1 > 0) ? openFracPos : openFracNeg;
  double openFrac2 = (id2 > 0) ? openFracPos : openFracNeg;

  // CKM factors for final states; further impossible case.
  bool diff1N = (id1Abs%2 != idNew%2);
  bool diff2N = (id2Abs%2 != idNew%2);
  if (diff1N && diff2N)
    sigma *= ( couplingsPtr->V2CKMid(id1Abs, idNew) * openFrac1
             * couplingsPtr->V2CKMsum(id2Abs) + couplingsPtr->V2CKMsum(id1Abs)
             * couplingsPtr->V2CKMid(id2Abs, idNew) * openFrac2 );
  else if (diff1N)
    sigma *= couplingsPtr->V2CKMid(id1Abs, idNew) * openFrac1
             * couplingsPtr->V2CKMsum(id2Abs);
  else if (diff2N)
    sigma *= couplingsPtr->V2CKMsum(id1Abs)
             * couplingsPtr->V2CKMid(id2Abs, idNew) * openFrac2;
  else sigma = 0.;

  // Spin-state extra factor 2 per incoming neutrino.
  if (id1Abs == 12 || id1Abs == 14 || id1Abs == 16) sigma *= 2.;
  if (id2Abs == 12 || id2Abs == 14 || id2Abs == 16) sigma *= 2.;

  // Answer.
  return  sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qq2QqtW::setIdColAcol() {

  // For topologies like d dbar -> (t/c/u) (t/c/u)bar pick side.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  int side   = 1;
  if ( (id1Abs + idNew)%2 == 1 && (id2Abs + idNew)%2 == 1 ) {
    double prob1 = couplingsPtr->V2CKMid(id1Abs, idNew)
                   * couplingsPtr->V2CKMsum(id2Abs);
    prob1       *= (id1 > 0) ? openFracPos : openFracNeg;
    double prob2 = couplingsPtr->V2CKMid(id2Abs, idNew)
                   * couplingsPtr->V2CKMsum(id1Abs);
    prob2       *= (id2 > 0) ? openFracPos : openFracNeg;
    if (prob2 > rndmPtr->flat() * (prob1 + prob2)) side = 2;
  }
  else if ((id2Abs + idNew)%2 == 1) side = 2;

  // Pick out-flavours by relative CKM weights.
  if (side == 1) {
    // q q' -> t q" : correct order from start.
    id3 = (id1 > 0) ? idNew : -idNew;
    id4 = couplingsPtr->V2CKMpick(id2);
    setId( id1, id2, id3, id4);
  } else {
    // q q' -> q" t : stored as t q" so swap tHat <-> uHat.
    swapTU = true;
    id3 = couplingsPtr->V2CKMpick(id1);
    id4 = (id2 > 0) ? idNew : -idNew;
    setId( id1, id2, id4, id3);
  }

  // Colour flow topologies. Swap when antiquarks on side 1.
  if      (side == 1 && id1 * id2 > 0) setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  else if              (id1 * id2 > 0) setColAcol( 1, 0, 2, 0, 2, 0, 1, 0);
  else if (side == 1)                  setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  else                                 setColAcol( 1, 0, 0, 2, 0, 2, 1, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of W in top decay.

double Sigma2qq2QqtW::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // For top decay hand over to standard routine, else done.
  if (idNew == 6 && process[process[iResBeg].mother1()].idAbs() == 6)
       return weightTopDecay( process, iResBeg, iResEnd);
  else return 1.;

}

//==========================================================================

// Sigma1ffbar2gmZ class.
// Cross section for f fbar -> gamma*/Z0 (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2gmZ::initProc() {

  // Allow to pick only gamma* or Z0 part of full gamma*/Z0 expression.
  gmZmode     = settingsPtr->mode("WeakZ0:gmZmode");

  // Store Z0 mass and width for propagator.
  mRes        = particleDataPtr->m0(23);
  GammaRes    = particleDataPtr->mWidth(23);
  m2Res       = mRes*mRes;
  GamMRat     = GammaRes / mRes;
  thetaWRat   = 1. / (16. * couplingsPtr->sin2thetaW()
              * couplingsPtr->cos2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(23);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2gmZ::sigmaKin() {

  // Common coupling factors.
  double colQ = 3. * (1. + alpS / M_PI);

  // Reset quantities to sum. Declare variables in loop.
  gamSum = 0.;
  intSum = 0.;
  resSum = 0.;
  int    idAbs, onMode;
  double mf, mr, psvec, psaxi, betaf, ef2, efvf, vf2af2, colf;

  // Loop over all Z0 decay channels.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    idAbs = abs( particlePtr->channel(i).product(0) );

    // Only contributions from three fermion generations, except top.
    if ( (idAbs > 0 && idAbs < 6) || ( idAbs > 10 && idAbs < 17)) {
      mf = particleDataPtr->m0(idAbs);

      // Check that above threshold. Phase space.
      if (mH > 2. * mf + MASSMARGIN) {
        mr    = pow2(mf / mH);
        betaf = sqrtpos(1. - 4. * mr);
        psvec = betaf * (1. + 2. * mr);
        psaxi = pow3(betaf);

        // Combine phase space with couplings.
        ef2    = couplingsPtr->ef2(idAbs) * psvec;
        efvf   = couplingsPtr->efvf(idAbs) * psvec;
        vf2af2 = couplingsPtr->vf2(idAbs) * psvec
               + couplingsPtr->af2(idAbs) * psaxi;
        colf   = (idAbs < 6) ? colQ : 1.;

        // Store sum of combinations. For outstate only open channels.
        onMode = particlePtr->channel(i).onMode();
        if (onMode == 1 || onMode == 2) {
          gamSum += colf * ef2;
          intSum += colf * efvf;
          resSum += colf * vf2af2;
        }

      // End loop over fermions.
      }
    }
  }

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  gamProp = 4. * M_PI * pow2(alpEM) / (3. * sH);
  intProp = gamProp * 2. * thetaWRat * sH * (sH - m2Res)
          / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  resProp = gamProp * pow2(thetaWRat * sH)
          / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Optionally only keep gamma* or Z0 term.
  if (gmZmode == 1) {intProp = 0.; resProp = 0.;}
  if (gmZmode == 2) {gamProp = 0.; intProp = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2gmZ::sigmaHat() {

  // Combine gamma, interference and Z0 parts.
  int idAbs = abs(id1);
  double sigma = couplingsPtr->ef2(idAbs)    * gamProp * gamSum
               + couplingsPtr->efvf(idAbs)   * intProp * intSum
               + couplingsPtr->vf2af2(idAbs) * resProp * resSum;

  // Colour factor. Answer.
  if (idAbs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2gmZ::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 23);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for gamma*/Z0 decay angle.
  
double Sigma1ffbar2gmZ::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Z should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Couplings for in- and out-flavours.
  int idInAbs  = process[3].idAbs();
  double ei    = couplingsPtr->ef(idInAbs);
  double vi    = couplingsPtr->vf(idInAbs);
  double ai    = couplingsPtr->af(idInAbs);
  int idOutAbs = process[6].idAbs();
  double ef    = couplingsPtr->ef(idOutAbs);
  double vf    = couplingsPtr->vf(idOutAbs);
  double af    = couplingsPtr->af(idOutAbs);

  // Phase space factors. (One power of beta left out in formulae.)
  double mf    = process[6].m();
  double mr    = mf*mf / sH;
  double betaf = sqrtpos(1. - 4. * mr);

  // Coefficients of angular expression.
  double coefTran = ei*ei * gamProp * ef*ef + ei * vi * intProp * ef * vf
    + (vi*vi + ai*ai) * resProp * (vf*vf + pow2(betaf) * af*af);
  double coefLong = 4. * mr * ( ei*ei * gamProp * ef*ef
    + ei * vi * intProp * ef * vf + (vi*vi + ai*ai) * resProp * vf*vf );
  double coefAsym = betaf * ( ei * ai * intProp * ef * af
    + 4. * vi * ai * resProp * vf * af );

  // Flip asymmetry for in-fermion + out-antifermion.
  if (process[3].id() * process[6].id() < 0) coefAsym = -coefAsym;

  // Reconstruct decay angle and weight for it.
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);
  double wtMax = 2. * (coefTran + abs(coefAsym));
  double wt    = coefTran * (1. + pow2(cosThe))
     + coefLong * (1. - pow2(cosThe)) + 2. * coefAsym * cosThe;

  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma1ffbar2W class.
// Cross section for f fbar' -> W+- (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2W::initProc() {

  // Store W+- mass and width for propagator.
  mRes     = particleDataPtr->m0(24);
  GammaRes = particleDataPtr->mWidth(24);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(24);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2W::sigmaKin() {

  // Set up Breit-Wigner. Cross section for W+ and W- separately.
  double sigBW  = 12. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double preFac = alpEM * thetaWRat * mH;
  sigma0Pos     = preFac * sigBW * particlePtr->resWidthOpen(24, mH);
  sigma0Neg     = preFac * sigBW * particlePtr->resWidthOpen(-24, mH);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2W::sigmaHat() {

  // Secondary width for W+ or W-. CKM and colour factors.
  int idUp = (abs(id1)%2 == 0) ? id1 : id2;
  double sigma = (idUp > 0) ? sigma0Pos : sigma0Neg;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2W::setIdColAcol() {

  // Sign of outgoing W.
  int sign          = 1 - 2 * (abs(id1)%2);
  if (id1 < 0) sign = -sign;
  setId( id1, id2, 24 * sign);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for W decay angle.
  
double Sigma1ffbar2W::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // W should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Phase space factors.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
   
  // Sign of asymmetry.
  double eps    = (process[3].id() * process[6].id() > 0) ? 1. : -1.;

  // Reconstruct decay angle and weight for it.
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);
  double wtMax  = 4.;
  double wt     = pow2(1. + betaf * eps * cosThe) - pow2(mr1 - mr2);
 
  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma2ffbar2ffbarsgm class.
// Cross section f fbar -> gamma* -> f' fbar', for multiparton interactions.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2ffbarsgm::sigmaKin() {

  // Pick new flavour. Allow three leptons and five quarks.
  double colQ     = 1. + (alpS / M_PI);
  double flavWt   = 3. + colQ * 11. / 3.;
  double flavRndm = rndmPtr->flat() * flavWt;
  if (flavRndm < 3.) {
    if      (flavRndm < 1.) idNew = 11;
    else if (flavRndm < 2.) idNew = 13;
    else                    idNew = 15;
  } else {
    flavRndm = 3. * (flavRndm - 3.) / colQ;
    if      (flavRndm <  4.) idNew = 2;
    else if (flavRndm <  8.) idNew = 4;
    else if (flavRndm <  9.) idNew = 1;
    else if (flavRndm < 10.) idNew = 3;
    else                     idNew = 5;
  }
  double mNew  = particleDataPtr->m0(idNew);
  double m2New = mNew*mNew;

  // Calculate kinematics dependence. Give correct mass factors for
  // tHat, uHat defined as if massless kinematics, d(sigma)/d(Omega)
  // = beta (1 + cos^2(theta) + (1 - beta^2) sin^2(theta)).
  // Special case related to phase space form in multiparton interactions.
  double sigS = 0.;
  if (sH > 4. * m2New) {
    double beta = sqrt(1. - 4. * m2New / sH);
    sigS = beta * (2.* (tH2 + uH2) + 4. * (1. - beta * beta) * tH * uH)
      / sH2;
  }

  // Answer is proportional to number of outgoing flavours.
  sigma0 = (M_PI/sH2) * pow2(alpEM) * sigS * flavWt;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2ffbarsgm::sigmaHat() {

  // Charge and colour factors.
  double eNow  = couplingsPtr->ef( abs(id1) );
  double sigma = sigma0 * pow2(eNow);
  if (abs(id1) < 9) sigma /= 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2ffbarsgm::setIdColAcol() {

  // Set outgoing flavours.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && idNew < 9) setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  else if (abs(id1) < 9)         setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else if (idNew < 9)            setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else                           setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2ffbarsgmZ class.
// Cross section f fbar -> gamma*/Z0 -> f' fbar',
// i.e. gamma*/Z0 decay as part of the hard process.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2ffbarsgmZ::initProc() {

  // Allow to pick only gamma* or Z0 part of full gamma*/Z0 expression.
  gmZmode     = settingsPtr->mode("WeakZ0:gmZmode");

  // Store Z0 mass and width for propagator.
  mRes        = particleDataPtr->m0(23);
  GammaRes    = particleDataPtr->mWidth(23);
  m2Res       = mRes*mRes;
  GamMRat     = GammaRes / mRes;
  thetaWRat   = 1. / (16. * couplingsPtr->sin2thetaW()
              * couplingsPtr->cos2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(23);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2ffbarsgmZ::sigmaKin() {

  // Common coupling factor.
  colQ = 3. * (1. + alpS / M_PI);

  // Reset vectors and sums. Declare variables in loop.
  idVec.resize(0);
  gamT.resize(0);
  gamL.resize(0);
  intT.resize(0);
  intL.resize(0);
  intA.resize(0);
  resT.resize(0);
  resL.resize(0);
  resA.resize(0);
  gamSumT = 0.;
  gamSumL = 0.;
  intSumT = 0.;
  intSumL = 0.;
  intSumA = 0.;
  resSumT = 0.;
  resSumL = 0.;
  resSumA = 0.;
  int    onMode, idAbs;
  double mf, mr, betaf, ef, vf, af, colf, gamTf, gamLf, intTf, intLf,
         intAf, resTf, resLf, resAf;

  // Loop over all Z0 decay channels.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    onMode = particlePtr->channel(i).onMode();
    idAbs = abs( particlePtr->channel(i).product(0) );

    // Only contributions from three fermion generations, except top.
    if ( (onMode == 1 || onMode == 2) && ((idAbs > 0 && idAbs < 6)
      || ( idAbs > 10 && idAbs < 17)) ) {
      mf = particleDataPtr->m0(idAbs);

      // Check that channel above threshold. Phase space.
      if (mH > 2. * mf + MASSMARGIN) {
        mr    = pow2(mf / mH);
        betaf = sqrtpos(1. - 4. * mr);

        // Combine couplings (including colour) with phase space.
        ef    = couplingsPtr->ef(idAbs);
        vf    = couplingsPtr->vf(idAbs);
        af    = couplingsPtr->af(idAbs);
        colf  = (idAbs < 6) ? colQ : 1.;
        gamTf = colf * ef * ef * betaf;
        gamLf = gamTf * 4. * mr;
        intTf = colf * ef * vf * betaf;
        intLf = intLf * 4. * mr;
        intAf = colf * ef * af * betaf;
        resTf = colf * (vf * vf * betaf + af * af * pow3(betaf));
        resLf = colf * vf * vf * betaf * 4. * mr;
        resAf = colf * vf * af * betaf * 4.;

        // Store individual coplings and their sums.
        idVec.push_back(idAbs);
        gamT.push_back(gamTf);
        gamL.push_back(gamLf);
        intT.push_back(intTf);
        intL.push_back(intLf);
        intA.push_back(intAf);
        resT.push_back(resTf);
        resL.push_back(resLf);
        resA.push_back(resAf);
        gamSumT += gamTf;
        gamSumL += gamLf;
        intSumT += intTf;
        intSumL += intLf;
        intSumA += intAf;
        resSumT += resTf;
        resSumL += resLf;
        resSumA += resAf;

      // End loop over Z0 decay channels.
      }
    }
  }

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  gamProp = M_PI * pow2(alpEM) / sH2;
  intProp = gamProp * 2. * thetaWRat * sH * (sH - m2Res)
          / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  resProp = gamProp * pow2(thetaWRat * sH)
          / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Optionally only keep gamma* or Z0 term.
  if (gmZmode == 1) {intProp = 0.; resProp = 0.;}
  if (gmZmode == 2) {gamProp = 0.; intProp = 0.;}

  // Scattering angle in subsystem rest frame.
  cThe = (tH - uH) / sH;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2ffbarsgmZ::sigmaHat() {

  // Couplings for current in-flavour.
  int id1Abs = abs(id1);
  double ei  = couplingsPtr->ef(id1Abs);
  double vi  = couplingsPtr->vf(id1Abs);
  double ai  = couplingsPtr->af(id1Abs);

  // Coefficients of angular expression.
  double coefT = ei*ei * gamProp * gamSumT + ei*vi * intProp * intSumT
               + (vi*vi + ai*ai) * resProp * resSumT;
  double coefL = ei*ei * gamProp * gamSumL + ei*vi * intProp * intSumL
               + (vi*vi + ai*ai) * resProp * resSumL;
  double coefA = ei*ai * intProp * intSumA + vi*ai * resProp * resSumA;

  // Colour factor. Answer.
  double sigma = coefT * (1. + pow2(cThe)) + coefL * (1. - pow2(cThe))
               + 2. * coefA * cThe;
  if (id1Abs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2ffbarsgmZ::setIdColAcol() {

  // Couplings for chosen in-flavour.
  int id1Abs = abs(id1);
  double ei  = couplingsPtr->ef(id1Abs);
  double vi  = couplingsPtr->vf(id1Abs);
  double ai  = couplingsPtr->af(id1Abs);

  // Contribution from each allowed out-flavour.
  sigTLA.resize(0);
  for (int i = 0; i < int(idVec.size()); ++i) {
    double coefT = ei*ei * gamProp * gamT[i] + ei*vi * intProp * intT[i]
                 + (vi*vi + ai*ai) * resProp * resT[i];
    double coefL = ei*ei * gamProp * gamL[i] + ei*vi * intProp * intL[i]
                 + (vi*vi + ai*ai) * resProp * resL[i];
    double coefA = ei*ai * intProp * intA[i] + vi*ai * resProp * resA[i];
    double sigma = coefT * (1. + pow2(cThe)) + coefL * (1. - pow2(cThe))
                 + 2. * coefA * cThe;
    sigTLA.push_back(sigma);
  }

  // Pick outgoing flavours.
  int idNew = idVec[ rndmPtr->pick(sigTLA) ];
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && idNew < 9) setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  else if (abs(id1) < 9)         setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else if (idNew < 9)            setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else                           setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2ffbarsW class.
// Cross section f_1 fbar_2 -> W+- -> f_3 fbar_4,
// i.e. W decay as part of the hard process.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2ffbarsW::initProc() {

  // Store W+- mass and width for propagator.
  mRes     = particleDataPtr->m0(24);
  GammaRes = particleDataPtr->mWidth(24);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(24);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2ffbarsW::sigmaKin() {

  // Set up Breit-Wigner. Common sigmaHat cross section for W+ and W-.
  double sigBW  = 12. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double preFac = alpEM * thetaWRat * mH;
  sigma0        = preFac * sigBW * particlePtr->resWidthOpen(24, mH);

  // Convert to d(sigmaHat)/d(tHat). Fixed so integrates to sigmaHat.
  sigma0       *= 3. * uH2 / (sH2 * sH);

  // Pick a decay channel.
  if (!particlePtr->preparePick(24, mH)) {
    sigma0 = 0.;
    return;
  }
  DecayChannel& channel = particlePtr->pickChannel();
  id3New = channel.product(0);
  id4New = channel.product(1);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2ffbarsW::sigmaHat() {

  // Secondary width for W+-. CKM and colour factors.
  double sigma = sigma0;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2ffbarsW::setIdColAcol() {

  // Find sign of W and its decay products. Set outgoing flavours.
  int idUp  = (abs(id1)%2 == 0) ? id1 : id2;
  id3 = (idUp > 0) ? id3New : -id3New;
  id4 = (idUp > 0) ? id4New : -id4New;
  if (id1 * id3 < 0) swap(id3, id4);
  setId( id1, id2, id3, id4);

  // Colour flow topologies. Swap when antifermions in 1 and 3.
  if (abs(id1) < 9 && abs(id3) < 9) setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  else if (abs(id1) < 9)            setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else if (abs(id3) < 9)            setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else                              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2FFbarsgmZ class.
// Cross section f fbar -> gamma*/Z0 -> F Fbar.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2FFbarsgmZ::initProc() {

  // Process name.
  nameSave                 = "f fbar -> F Fbar (s-channel gamma*/Z0)";
  if (idNew == 4) nameSave = "f fbar -> c cbar (s-channel gamma*/Z0)";
  if (idNew == 5) nameSave = "f fbar -> b bbar (s-channel gamma*/Z0)";
  if (idNew == 6) nameSave = "f fbar -> t tbar (s-channel gamma*/Z0)";
  if (idNew == 7) nameSave = "f fbar -> b' b'bar (s-channel gamma*/Z0)";
  if (idNew == 8) nameSave = "f fbar -> t' t'bar (s-channel gamma*/Z0)";
  if (idNew == 15) nameSave = "f fbar -> tau+ tau- (s-channel gamma*/Z0)";
  if (idNew == 17) nameSave = "f fbar -> tau'+ tau'- (s-channel gamma*/Z0)";
  if (idNew == 18)
    nameSave   = "f fbar -> nu'_tau nu'bar_tau (s-channel gamma*/Z0)";

  // Allow to pick only gamma* or Z0 part of full gamma*/Z0 expression.
  gmZmode      = settingsPtr->mode("WeakZ0:gmZmode");

  // Store Z0 mass and width for propagator.
  mRes         = particleDataPtr->m0(23);
  GammaRes     = particleDataPtr->mWidth(23);
  m2Res        = mRes*mRes;
  GamMRat      = GammaRes / mRes;
  thetaWRat    = 1. / (16. * couplingsPtr->sin2thetaW()
                 * couplingsPtr->cos2thetaW());

  // Store couplings of F.
  ef           = couplingsPtr->ef(idNew);
  vf           = couplingsPtr->vf(idNew);
  af           = couplingsPtr->af(idNew);

  // Secondary open width fraction, relevant for top (or heavier).
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2FFbarsgmZ::sigmaKin() {

  // Check that above threshold.
  isPhysical     = true;
  if (mH < m3 + m4 + MASSMARGIN) {
    isPhysical   = false;
    return;
  }

  // Define average F, Fbar mass so same beta. Phase space.
  double s34Avg  = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  mr             = s34Avg / sH;
  betaf          = sqrtpos(1. - 4. * mr);

  // Final-state colour factor.
  double colF    = (idNew < 9) ? 3. * (1. + alpS / M_PI) : 1.;
 
  // Reconstruct decay angle so can reuse 2 -> 1 cross section.
  cosThe         = (tH - uH) / (betaf * sH);

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  gamProp = colF * M_PI * pow2(alpEM) / sH2;
  intProp = gamProp * 2. * thetaWRat * sH * (sH - m2Res)
          / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  resProp = gamProp * pow2(thetaWRat * sH)
          / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Optionally only keep gamma* or Z0 term.
  if (gmZmode == 1) {intProp = 0.; resProp = 0.;}
  if (gmZmode == 2) {gamProp = 0.; intProp = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2FFbarsgmZ::sigmaHat() {

  // Fail if below threshold.
  if (!isPhysical) return 0.;

  // Couplings for in-flavours.
  int idAbs       = abs(id1);
  double ei       = couplingsPtr->ef(idAbs);
  double vi       = couplingsPtr->vf(idAbs);
  double ai       = couplingsPtr->af(idAbs);

  // Coefficients of angular expression.
  double coefTran = ei*ei * gamProp * ef*ef + ei * vi * intProp * ef * vf
    + (vi*vi + ai*ai) * resProp * (vf*vf + pow2(betaf) * af*af);
  double coefLong = 4. * mr * ( ei*ei * gamProp * ef*ef
    + ei * vi * intProp * ef * vf + (vi*vi + ai*ai) * resProp * vf*vf );
  double coefAsym = betaf * ( ei * ai * intProp * ef * af
    + 4. * vi * ai * resProp * vf * af );

  // Combine gamma, interference and Z0 parts.
  double sigma    = coefTran * (1. + pow2(cosThe))
   + coefLong * (1. - pow2(cosThe)) + 2. * coefAsym * cosThe;

  // Top: corrections for closed decay channels.
  sigma *= openFracPair;

  // Initial-state colour factor. Answer.
  if (idAbs < 9) sigma /= 3.;
  return sigma;
   
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2FFbarsgmZ::setIdColAcol() {

  // Set outgoing flavours.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && idNew < 9) setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  else if (abs(id1) < 9)         setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else if (idNew < 9)            setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else                           setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of W in top decay.

double Sigma2ffbar2FFbarsgmZ::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // For top decay hand over to standard routine, else done.
  if (idNew == 6 && process[process[iResBeg].mother1()].idAbs() == 6)
       return weightTopDecay( process, iResBeg, iResEnd);
  else return 1.;

}

//==========================================================================

// Sigma2ffbar2FfbarsW class.
// Cross section f fbar' -> W+- -> F fbar".

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2FfbarsW::initProc() {

  // Process name.
  nameSave                 = "f fbar -> F fbar (s-channel W+-)";
  if (idNew == 4) nameSave = "f fbar -> c qbar (s-channel W+-)";
  if (idNew == 5) nameSave = "f fbar -> b qbar (s-channel W+-)";
  if (idNew == 6) nameSave = "f fbar -> t qbar (s-channel W+-)";
  if (idNew == 7) nameSave = "f fbar -> b' qbar (s-channel W+-)";
  if (idNew == 8) nameSave = "f fbar -> t' qbar (s-channel W+-)";
  if (idNew == 7 && idNew2 == 6)
    nameSave = "f fbar -> b' tbar (s-channel W+-)";
  if (idNew == 8 && idNew2 == 7)
    nameSave = "f fbar -> t' b'bar (s-channel W+-)";
  if (idNew == 15 || idNew == 16)
    nameSave = "f fbar -> tau nu_taubar (s-channel W+-)";
  if (idNew == 17 || idNew == 18)
    nameSave = "f fbar -> tau'  nu'_taubar (s-channel W+-)";

  // Store W+- mass and width for propagator.
  mRes      = particleDataPtr->m0(24);
  GammaRes  = particleDataPtr->mWidth(24);
  m2Res     = mRes*mRes;
  GamMRat   = GammaRes / mRes;
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

  // For t/t' want to use at least b mass.
  idPartner = idNew2;
  if ( (idNew == 6 || idNew == 8) && idNew2 == 0 ) idPartner = 5;

  // Sum of CKM weights for quarks.
  V2New     = (idNew < 9) ? couplingsPtr->V2CKMsum(idNew) : 1.;
  if (idNew2 != 0) V2New = couplingsPtr->V2CKMid(idNew, idNew2);

  // Secondary open width fractions, relevant for top or heavier.
  openFracPos = particleDataPtr->resOpenFrac( idNew, -idNew2);
  openFracNeg = particleDataPtr->resOpenFrac(-idNew,  idNew2);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2FfbarsW::sigmaKin() {

  // Check that above threshold.
  isPhysical    = true;
  if (mH < m3 + m4 + MASSMARGIN) {
    isPhysical  = false;
    return;
  }

  // Phase space factors.
  double mr1    = s3 / sH;
  double mr2    = s4 / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
 
  // Reconstruct decay angle so can reuse 2 -> 1 cross section.
  double cosThe = (tH - uH) / (betaf * sH);
 
  // Set up Breit-Wigner and in- and out-widths.
  double sigBW  = 9. * M_PI * pow2(alpEM * thetaWRat)
                / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Initial-state colour factor.
  double colF   = (idNew < 9) ? 3. * (1. + alpS / M_PI) * V2New : 1.;

  // Angular dependence.
  double wt     = pow2(1. + betaf * cosThe) - pow2(mr1 - mr2);

  // Temporary answer.
  sigma0        = sigBW * colF * wt;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2FfbarsW::sigmaHat() {

  // Fail if below threshold.
  if (!isPhysical) return 0.;

  // CKM and colour factors.
  double sigma = sigma0;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Correction for secondary width in top (or heavier) decay.
  int idSame = ((abs(id1) + idNew)%2 == 0) ? id1 : id2;
  sigma *= (idSame > 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;
   
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2FfbarsW::setIdColAcol() {

  // Set outgoing flavours.
  id3 = idNew;
  id4 = (idNew2 != 0) ? idNew2 : couplingsPtr->V2CKMpick(idNew);
  if (idNew%2 == 0) {
    int idInUp = (abs(id1)%2 == 0) ? id1 : id2;
    if (idInUp > 0) id4 = -id4;
    else            id3 = -id3;
  } else {
    int idInDn = (abs(id1)%2 == 1) ? id1 : id2;
    if (idInDn > 0) id4 = -id4;
    else            id3 = -id3;
  }
  setId( id1, id2, id3, id4);

  // Swap tHat and uHat for fbar' f -> F f".
  if (id1 * id3 < 0) swapTU = true;

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && idNew < 9) setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  else if (abs(id1) < 9)         setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else if (idNew < 9)            setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else                           setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapCol12();
  if (id3 < 0) swapCol34();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of W in top decay.

double Sigma2ffbar2FfbarsW::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // For top decay hand over to standard routine, else done.
  if (idNew == 6 && process[process[iResBeg].mother1()].idAbs() == 6)
       return weightTopDecay( process, iResBeg, iResEnd);
  else return 1.;

}

//==========================================================================

// Sigma2ffbargmZWgmZW class.
// Collects common methods for f fbar ->  gamma*/Z0/W+- gamma*/Z0/W-+.

//--------------------------------------------------------------------------

// Calculate and store internal products.

void Sigma2ffbargmZWgmZW::setupProd( Event& process, int i1, int i2,
  int i3, int i4, int i5, int i6) {

  // Store incoming and outgoing momenta,
  pRot[1] = process[i1].p();
  pRot[2] = process[i2].p();
  pRot[3] = process[i3].p();
  pRot[4] = process[i4].p();
  pRot[5] = process[i5].p();
  pRot[6] = process[i6].p();

  // Do random rotation to avoid accidental zeroes in HA expressions.
  bool smallPT = false;
  do {
    smallPT = false;
    double thetaNow = acos(2. * rndmPtr->flat() - 1.);
    double phiNow   = 2. * M_PI * rndmPtr->flat();
    for (int i = 1; i <= 6; ++i) {
      pRot[i].rot( thetaNow, phiNow);
      if (pRot[i].pT2() < 1e-4 * pRot[i].pAbs2()) smallPT = true;
    }
  } while (smallPT);

  // Calculate internal products.
  for (int i = 1; i < 6; ++i) {
    for (int j = i + 1; j <= 6; ++j) {
      hA[i][j] =
          sqrt( (pRot[i].e() - pRot[i].pz()) * (pRot[j].e() + pRot[j].pz())
        / pRot[i].pT2() ) * complex( pRot[i].px(), pRot[i].py() )
        - sqrt( (pRot[i].e() + pRot[i].pz()) * (pRot[j].e() - pRot[j].pz())
        / pRot[j].pT2() ) * complex( pRot[j].px(), pRot[j].py() );
      hC[i][j] = conj( hA[i][j] );
      if (i <= 2) {
        hA[i][j] *= complex( 0., 1.);
        hC[i][j] *= complex( 0., 1.);
      }
      hA[j][i] = - hA[i][j];
      hC[j][i] = - hC[i][j];
    }
  }

}

//--------------------------------------------------------------------------

// Evaluate the F function of Gunion and Kunszt.

complex Sigma2ffbargmZWgmZW::fGK(int j1, int j2, int j3, int j4, int j5,
  int j6) {
 
  return 4. * hA[j1][j3] * hC[j2][j6]
         * ( hA[j1][j5] * hC[j1][j4] + hA[j3][j5] * hC[j3][j4] );

}

//--------------------------------------------------------------------------

// Evaluate the Xi function of Gunion and Kunszt.

double Sigma2ffbargmZWgmZW::xiGK( double tHnow, double uHnow) {

  return - 4. * s3 * s4 + tHnow * (3. * tHnow + 4. * uHnow)
         + tHnow * tHnow * ( tHnow * uHnow / (s3 * s4)
           - 2. * (1. / s3 + 1./s4) * (tHnow + uHnow)
           + 2. * (s3 / s4 + s4 / s3) );

}

//--------------------------------------------------------------------------

// Evaluate the Xj function of Gunion and Kunszt.

double Sigma2ffbargmZWgmZW::xjGK( double tHnow, double uHnow) {

  return 8. * pow2(s3 + s4) - 8. * (s3 + s4) * (tHnow + uHnow)
         - 6. * tHnow * uHnow - 2. * tHnow * uHnow * ( tHnow * uHnow
           / (s3 * s4) - 2. * (1. / s3 + 1. / s4) * (tHnow + uHnow)
           + 2. * (s3 / s4 + s4 / s3) );

}

//==========================================================================

// Sigma2ffbar2gmZgmZ class.
// Cross section for f fbar -> gamma*/Z0 gamma*/Z0 (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2gmZgmZ::initProc() {

  // Allow to pick only gamma* or Z0 part of full gamma*/Z0 expression.
  gmZmode     = settingsPtr->mode("WeakZ0:gmZmode");

  // Store Z0 mass and width for propagator.
  mRes        = particleDataPtr->m0(23);
  GammaRes    = particleDataPtr->mWidth(23);
  m2Res       = mRes*mRes;
  GamMRat     = GammaRes / mRes;
  thetaWRat   = 1. / (16. * couplingsPtr->sin2thetaW()
                * couplingsPtr->cos2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(23);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2gmZgmZ::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * pow2(alpEM) * 0.5
    * ( (tH2 + uH2 + 2. * (s3 + s4) * sH) / (tH * uH)
    - s3 * s4 * (1./tH2 + 1./uH2) );

  // Common coupling factors at the resonance masses
  double alpEM3 = couplingsPtr->alphaEM(s3);
  double alpS3  = couplingsPtr->alphaS(s3);
  double colQ3  = 3. * (1. + alpS3 / M_PI);
  double alpEM4 = couplingsPtr->alphaEM(s4);
  double alpS4  = couplingsPtr->alphaS(s4);
  double colQ4  = 3. * (1. + alpS4 / M_PI);

  // Reset quantities to sum. Declare variables in loop.
  gamSum3 = 0.;
  intSum3 = 0.;
  resSum3 = 0.;
  gamSum4 = 0.;
  intSum4 = 0.;
  resSum4 = 0.;
  int    onMode;
  double mf, mr, psvec, psaxi, betaf, ef2, efvf, vf2af2, colf;

  // Loop over all Z0 decay channels.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    int idAbs = abs( particlePtr->channel(i).product(0) );

    // Only contributions from three fermion generations, except top.
    if ( (idAbs > 0 && idAbs < 6) || ( idAbs > 10 && idAbs < 17)) {
      mf     = particleDataPtr->m0(idAbs);
      onMode = particlePtr->channel(i).onMode();

      // First Z0: check that above threshold. Phase space.
      if (m3 > 2. * mf + MASSMARGIN) {
        mr    = pow2(mf / m3);
        betaf = sqrtpos(1. - 4. * mr);
        psvec = betaf * (1. + 2. * mr);
        psaxi  = pow3(betaf);

        // First Z0: combine phase space with couplings.
        ef2    = couplingsPtr->ef2(idAbs) * psvec;
        efvf   = couplingsPtr->efvf(idAbs) * psvec;
        vf2af2 = couplingsPtr->vf2(idAbs) * psvec
               + couplingsPtr->af2(idAbs) * psaxi;
        colf   = (idAbs < 6) ? colQ3 : 1.;

        // First Z0: store sum of combinations for open outstate channels.
        if (onMode == 1 || onMode == 2) {
          gamSum3 += colf * ef2;
          intSum3 += colf * efvf;
          resSum3 += colf * vf2af2;
        }
      }

      // Second Z0: check that above threshold. Phase space.
      if (m4 > 2. * mf + MASSMARGIN) {
        mr    = pow2(mf / m4);
        betaf = sqrtpos(1. - 4. * mr);
        psvec = betaf * (1. + 2. * mr);
        psaxi = pow3(betaf);

        // Second Z0: combine phase space with couplings.
        ef2    = couplingsPtr->ef2(idAbs) * psvec;
        efvf   = couplingsPtr->efvf(idAbs) * psvec;
        vf2af2 = couplingsPtr->vf2(idAbs) * psvec
               + couplingsPtr->af2(idAbs) * psaxi;
        colf   = (idAbs < 6) ? colQ4 : 1.;

        // Second Z0: store sum of combinations for open outstate channels.
        if (onMode == 1 || onMode == 2) {
          gamSum4 += colf * ef2;
          intSum4 += colf * efvf;
          resSum4 += colf * vf2af2;
        }
      }

    // End loop over fermions.
    }
  }

  // First Z0: calculate prefactors for gamma/interference/Z0 terms.
  gamProp3 = 4. * alpEM3 / (3. * M_PI * s3);
  intProp3 = gamProp3 * 2. * thetaWRat * s3 * (s3 - m2Res)
           / ( pow2(s3 - m2Res) + pow2(s3 * GamMRat) );
  resProp3 = gamProp3 * pow2(thetaWRat * s3)
           / ( pow2(s3 - m2Res) + pow2(s3 * GamMRat) );

  // First Z0: optionally only keep gamma* or Z0 term.
  if (gmZmode == 1) {intProp3 = 0.; resProp3 = 0.;}
  if (gmZmode == 2) {gamProp3 = 0.; intProp3 = 0.;}

  // Second Z0: calculate prefactors for gamma/interference/Z0 terms.
  gamProp4 = 4. * alpEM4 / (3. * M_PI * s4);
  intProp4 = gamProp4 * 2. * thetaWRat * s4 * (s4 - m2Res)
           / ( pow2(s4 - m2Res) + pow2(s4 * GamMRat) );
  resProp4 = gamProp4 * pow2(thetaWRat * s4)
           / ( pow2(s4 - m2Res) + pow2(s4 * GamMRat) );

  // Second Z0: optionally only keep gamma* or Z0 term.
  if (gmZmode == 1) {intProp4 = 0.; resProp4 = 0.;}
  if (gmZmode == 2) {gamProp4 = 0.; intProp4 = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2gmZgmZ::sigmaHat() {

  // Charge/2, left- and righthanded couplings for in-fermion.
  int idAbs = abs(id1);
  double ei = 0.5 * couplingsPtr->ef(idAbs);
  double li =       couplingsPtr->lf(idAbs);
  double ri =       couplingsPtr->rf(idAbs);

  // Combine left/right gamma, interference and Z0 parts for each Z0.
  double left3  = ei * ei * gamProp3 * gamSum3
                + ei * li * intProp3 * intSum3
                + li * li * resProp3 * resSum3;
  double right3 = ei * ei * gamProp3 * gamSum3
                + ei * ri * intProp3 * intSum3
                + ri * ri * resProp3 * resSum3;
  double left4  = ei * ei * gamProp4 * gamSum4
                + ei * li * intProp4 * intSum4
                + li * li * resProp4 * resSum4;
  double right4 = ei * ei * gamProp4 * gamSum4
                + ei * ri * intProp4 * intSum4
                + ri * ri * resProp4 * resSum4;

  // Combine left- and right-handed couplings for the two Z0's.
  double sigma = sigma0 * (left3 * left4 + right3 * right4);

  // Correct for the running-width Z0 propagators weight in PhaseSpace.
  sigma /= (runBW3 * runBW4);

  // Initial-state colour factor. Answer.
  if (idAbs < 9) sigma /= 3.;
  return  sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2gmZgmZ::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 23, 23);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate correlated decay flavours of the two gamma*/Z0.
// Unique complication, caused by gamma*/Z0 mix different left/right.

double Sigma2ffbar2gmZgmZ::weightDecayFlav( Event& process) {

  // Order so that fbar(1) f(2) -> f'(3) fbar'(4) f"(5) fbar"(6).
  i1 = (process[3].id() < 0) ? 3 : 4;
  i2 = 7 - i1;
  i3 = (process[7].id() > 0) ? 7 : 8;
  i4 = 15 - i3;
  i5 = (process[9].id() > 0) ? 9 : 10;
  i6 = 19 - i5;

  // Charge/2, left- and righthanded couplings for in- and out-fermions.
  int idAbs = process[i1].idAbs();
  double ei = 0.5 * couplingsPtr->ef(idAbs);
  double li =       couplingsPtr->lf(idAbs);
  double ri =       couplingsPtr->rf(idAbs);
  idAbs     = process[i3].idAbs();
  double e3  = 0.5 * couplingsPtr->ef(idAbs);
  double l3  =       couplingsPtr->lf(idAbs);
  double r3  =       couplingsPtr->rf(idAbs);
  idAbs      = process[i5].idAbs();
  double e4  = 0.5 * couplingsPtr->ef(idAbs);
  double l4  =       couplingsPtr->lf(idAbs);
  double r4  =       couplingsPtr->rf(idAbs);

  // Left- and righthanded couplings combined with propagators.
  c3LL = ei * ei * gamProp3 * e3 * e3
       + ei * li * intProp3 * e3 * l3
       + li * li * resProp3 * l3 * l3;
  c3LR = ei * ei * gamProp3 * e3 * e3
       + ei * li * intProp3 * e3 * r3
       + li * li * resProp3 * r3 * r3;
  c3RL = ei * ei * gamProp3 * e3 * e3
       + ei * ri * intProp3 * e3 * l3
       + ri * ri * resProp3 * l3 * l3;
  c3RR = ei * ei * gamProp3 * e3 * e3
       + ei * ri * intProp3 * e3 * r3
       + ri * ri * resProp3 * r3 * r3;
  c4LL = ei * ei * gamProp4 * e4 * e4
       + ei * li * intProp4 * e4 * l4
       + li * li * resProp4 * l4 * l4;
  c4LR = ei * ei * gamProp4 * e4 * e4
       + ei * li * intProp4 * e4 * r4
       + li * li * resProp4 * r4 * r4;
  c4RL = ei * ei * gamProp4 * e4 * e4
       + ei * ri * intProp4 * e4 * l4
       + ri * ri * resProp4 * l4 * l4;
  c4RR = ei * ei * gamProp4 * e4 * e4
       + ei * ri * intProp4 * e4 * r4
       + ri * ri * resProp4 * r4 * r4;

  // Flavour weight and maximum.
  flavWt = (c3LL + c3LR) * (c4LL + c4LR) + (c3RL + c3RR) * (c4RL + c4RR);
  double flavWtMax = (c3LL + c3LR + c3RL + c3RR) * (c4LL + c4LR + c4RL + c4RR);

  // Done.
  return flavWt / flavWtMax;

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of the two gamma*/Z0.

double Sigma2ffbar2gmZgmZ::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Two resonance decays, but with common weight.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // Set up four-products and internal products.
  setupProd( process, i1, i2, i3, i4, i5, i6);

  // Flip tHat and uHat if first incoming is fermion.
  double tHres   = tH;
  double uHres   = uH;
  if (process[3].id() > 0) swap( tHres, uHres);

  // Kinematics factors (norm(x) = |x|^2).
  double fGK135 = norm( fGK( 1, 2, 3, 4, 5, 6) / tHres
                      + fGK( 1, 2, 5, 6, 3, 4) / uHres );
  double fGK145 = norm( fGK( 1, 2, 4, 3, 5, 6) / tHres
                      + fGK( 1, 2, 5, 6, 4, 3) / uHres );
  double fGK136 = norm( fGK( 1, 2, 3, 4, 6, 5) / tHres
                      + fGK( 1, 2, 6, 5, 3, 4) / uHres );
  double fGK146 = norm( fGK( 1, 2, 4, 3, 6, 5) / tHres
                      + fGK( 1, 2, 6, 5, 4, 3) / uHres );
  double fGK253 = norm( fGK( 2, 1, 5, 6, 3, 4) / tHres
                      + fGK( 2, 1, 3, 4, 5, 6) / uHres );
  double fGK263 = norm( fGK( 2, 1, 6, 5, 3, 4) / tHres
                      + fGK( 2, 1, 3, 4, 6, 5) / uHres );
  double fGK254 = norm( fGK( 2, 1, 5, 6, 4, 3) / tHres
                      + fGK( 2, 1, 4, 3, 5, 6) / uHres );
  double fGK264 = norm( fGK( 2, 1, 6, 5, 4, 3) / tHres
                      + fGK( 2, 1, 4, 3, 6, 5) / uHres );

  // Weight and maximum.
  double wt     = c3LL * c4LL * fGK135 + c3LR * c4LL * fGK145
                + c3LL * c4LR * fGK136 + c3LR * c4LR * fGK146
                + c3RL * c4RL * fGK253 + c3RR * c4RL * fGK263
                + c3RL * c4RR * fGK254 + c3RR * c4RR * fGK264;
  double wtMax  = 16. * s3 * s4 * flavWt
    * ( (tHres*tHres + uHres*uHres + 2. * sH * (s3 + s4)) / (tHres * uHres)
      - s3 * s4 * (1. / (tHres*tHres) + 1. / (uHres*uHres)) );

  // Done.
  return wt / wtMax;

}

//==========================================================================

// Sigma2ffbar2ZW class.
// Cross section for f fbar' -> Z0 W+- (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2ZW::initProc() {

  // Store W+- mass and width for propagator.
  mW   = particleDataPtr->m0(24);
  widW = particleDataPtr->mWidth(24);
  mWS  = mW*mW;
  mwWS = pow2(mW * widW);

  // Left-handed couplings for up/nu- and down/e-type quarks.
  lun   = (hasLeptonBeams) ? couplingsPtr->lf(12) : couplingsPtr->lf(2);
  lde   = (hasLeptonBeams) ? couplingsPtr->lf(11) : couplingsPtr->lf(1);

  // Common weak coupling factor.
  sin2thetaW = couplingsPtr->sin2thetaW();
  cos2thetaW = couplingsPtr->cos2thetaW();
  thetaWRat  = 1. / (4. * cos2thetaW);
  cotT       = sqrt(cos2thetaW / sin2thetaW);
  thetaWpt   = (9. - 8. * sin2thetaW) / 4.;
  thetaWmm   = (8. * sin2thetaW - 6.) / 4.;

  // Secondary open width fractions.
  openFracPos = particleDataPtr->resOpenFrac(23,  24);
  openFracNeg = particleDataPtr->resOpenFrac(23, -24);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2ffbar2ZW::sigmaKin() {

  // Evaluate cross section, as programmed by Merlin Kole (after tidying),
  // based on Brown, Sahdev, Mikaelian, Phys Rev. D20 (1979) 1069.
  /*
  double resBW  = 1. / (pow2(sH - mWS) + mwWS);
  double prefac = 12.0 * M_PI * pow2(alpEM) / (sH2 * 8. * sin2thetaW);
  double temp1  = tH * uH - s3 * s4;
  double temp2  = temp1 / (s3 * s4);
  double temp3  = (s3 + s4) / sH;
  double temp4  = s3 * s4 / sH;
  double partA  = temp2 * (0.25 - 0.5 * temp3
    + (pow2(s3 + s4) + 8. * s3 * s4)/(4. * sH2) )
    + (s3 + s4)/(s3 * s4) * (sH/2. - s3 - s4 + pow2(s3 - s4)/(2. * sH));
  double partB1 = lun * (0.25 * temp2 * (1. - temp3 - 4. * temp4 / tH)
    + ((s3 + s4)/(2. * s3 * s4)) * (sH - s3 - s4 + 2. * s3 * s4 / tH) );
  double partB2 = lde * ( 0.25 * temp2 * (1.- temp3 - 4. * temp4 / uH)
    + ((s3 + s4)/(2. * s3 * s4)) * (sH - s3 - s4 + 2. * s3 * s4 / uH) );
  double partE = 0.25 * temp2 + 0.5 *(s3 + s4) / temp4;
  sigma0 = prefac * (pow2(cotT) * sH2 * resBW * partA
    + 2.* sH * cotT * resBW * (sH - mWS) * (partB2 - partB1)
    + pow2(lun - lde) * partE + pow2(lde) * temp1/uH2
    + pow2(lun) * temp1/tH2 + 2. * lun * lde * sH * (s3 + s4) / (uH * tH));
  */

  // Evaluate cross section. Expression from EHLQ, with bug fix,
  // but can still give negative cross section so suspect.
  double resBW  = 1. / (pow2(sH - mWS) + mwWS);
  sigma0  = (M_PI / sH2) * 0.5 * pow2(alpEM / sin2thetaW);
  sigma0 *= sH * resBW * (thetaWpt * pT2 + thetaWmm * (s3 + s4))
    + (sH - mWS) * resBW * sH * (pT2 - s3 - s4) * (lun / tH - lde / uH)
    + thetaWRat * sH * pT2 * ( lun*lun / tH2 + lde*lde / uH2 )
    + 2. * thetaWRat * sH * (s3 + s4) * lun * lde / (tH * uH);
  // Need to protect against negative cross sections at times.
  sigma0 = max(0., sigma0);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2ZW::sigmaHat() {

  // CKM and colour factors.
  double sigma = sigma0;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Corrections for secondary widths in Z0 and W+- decays.
  int idUp = (abs(id1)%2 == 0) ? id1 : id2;
  sigma *= (idUp > 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2ZW::setIdColAcol() {

  // Sign of outgoing W.
  int sign = 1 - 2 * (abs(id1)%2);
  if (id1 < 0) sign = -sign;
  setId( id1, id2, 23, 24 * sign);

  // tHat is defined between (f, W-) or (fbar, W+),
  // so OK for u/ubar on side 1, but must swap tHat <-> uHat if d/dbar.
  if (abs(id1)%2 == 1) swapTU = true;

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for Z0 and W+- decay angles.

double Sigma2ffbar2ZW::weightDecay( Event& process, int iResBeg, int iResEnd) {

  // Two resonance decays, but with common weight.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // Order so that fbar(1) f(2) -> f'(3) fbar'(4) f"(5) fbar"(6)
  // with f' fbar' from W+- and f" fbar" from Z0 (note flip Z0 <-> W+-).
  int i1 = (process[3].id() < 0) ? 3 : 4;
  int i2 = 7 - i1;
  int i3 = (process[9].id() > 0) ? 9 : 10;
  int i4 = 19 - i3;
  int i5 = (process[7].id() > 0) ? 7 : 8;
  int i6 = 15 - i5;

  // Set up four-products and internal products.
  setupProd( process, i1, i2, i3, i4, i5, i6);

  // Swap tHat and uHat if incoming fermion is downtype.
  double tHres   = tH;
  double uHres   = uH;
  if (process[i2].id()%2 == 1) swap( tHres, uHres);

  //  Couplings of incoming (anti)fermions and outgoing from Z0.
  int idAbs     = process[i1].idAbs();
  double ai     = couplingsPtr->af(idAbs);
  double li1    = couplingsPtr->lf(idAbs);
  idAbs         = process[i2].idAbs();
  double li2    = couplingsPtr->lf(idAbs);
  idAbs         = process[i5].idAbs();
  double l4     = couplingsPtr->lf(idAbs);
  double r4     = couplingsPtr->rf(idAbs);

  // W propagator/interference factor.
  double Wint   = cos2thetaW * (sH - mWS) / (pow2(sH - mWS) + mwWS);

  // Combinations of couplings and kinematics (norm(x) = |x|^2).
  double aWZ    = li2 / tHres - 2. * Wint * ai;
  double bWZ    = li1 / uHres + 2. * Wint * ai;
  double fGK135 = norm( aWZ * fGK( 1, 2, 3, 4, 5, 6)
                      + bWZ * fGK( 1, 2, 5, 6, 3, 4) );
  double fGK136 = norm( aWZ * fGK( 1, 2, 3, 4, 6, 5)
                      + bWZ * fGK( 1, 2, 6, 5, 3, 4) );
  double xiT    = xiGK( tHres, uHres);
  double xiU    = xiGK( uHres, tHres);
  double xjTU   = xjGK( tHres, uHres);

  // Weight and maximum weight.
  double wt     = l4*l4 * fGK135 + r4*r4 * fGK136;
  double wtMax  = 4. * s3 * s4 * (l4*l4 + r4*r4)
                * (aWZ * aWZ * xiT + bWZ * bWZ * xiU + aWZ * bWZ * xjTU);

  // Done.
  return wt / wtMax;

}

//==========================================================================

// Sigma2ffbar2WW class.
// Cross section for f fbar -> W- W+ (f is quark or lepton).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2WW::initProc() {

  // Store Z0 mass and width for propagator. Common coupling factor.
  mZ           = particleDataPtr->m0(23);
  widZ         = particleDataPtr->mWidth(23);
  mZS          = mZ*mZ;
  mwZS         = pow2(mZ * widZ);
  thetaWRat    = 1. / (4. * couplingsPtr->sin2thetaW());

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(24, -24);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2ffbar2WW::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 =  (M_PI / sH2) * pow2(alpEM);

  // Z0 propagator and gamma*/Z0 interference.
  double Zprop   = sH2 / (pow2(sH - mZS) + mwZS);
  double Zint    = Zprop * (1. - mZS / sH);

  // Common coupling factors (g = gamma*, Z = Z0, f = t-channel fermion).
  cgg            = 0.5;
  cgZ            = thetaWRat * Zint;
  cZZ            = 0.5 * pow2(thetaWRat) * Zprop;
  cfg            = thetaWRat;
  cfZ            = pow2(thetaWRat) * Zint;
  cff            = pow2(thetaWRat);

  // Kinematical functions.
  double rat34   = sH * (2. * (s3 + s4) + pT2) / (s3 * s4);
  double lambdaS = pow2(sH - s3 - s4) - 4. * s3 * s4;
  double intA    = (sH - s3 - s4) * rat34 / sH;
  double intB    = 4. * (s3 + s4 - pT2);
  gSS            = (lambdaS * rat34 + 12. * sH * pT2) / sH2;
  gTT            = rat34 + 4. * sH * pT2 / tH2;
  gST            = intA + intB / tH;
  gUU            = rat34 + 4. * sH * pT2 / uH2;
  gSU            = intA + intB / uH;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2WW::sigmaHat() {
 
  // Flavour-specific couplings.
  int idAbs = abs(id1);
  double ei = couplingsPtr->ef(idAbs);
  double vi = couplingsPtr->vf(idAbs);
  double ai = couplingsPtr->af(idAbs);

  // Combine, with different cases for up- and down-type in-flavours.
  double sigma = sigma0;
  sigma *= (idAbs%2 == 1)
    ? (cgg * ei*ei + cgZ * ei * vi + cZZ * (vi*vi + ai*ai)) * gSS
      + (cfg * ei + cfZ * (vi + ai)) * gST + cff * gTT
    : (cgg * ei*ei + cgZ * ei * vi + cZZ * (vi*vi + ai*ai)) * gSS
      - (cfg * ei + cfZ * (vi + ai)) * gSU + cff * gUU;

  // Initial-state colour factor. Correction for secondary widths. Answer.
  if (idAbs < 9) sigma /= 3.;
  sigma *= openFracPair;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2WW::setIdColAcol() {

  // Always order W- W+, i.e. W- first.
  setId( id1, id2, -24, 24);

  // tHat is defined between (f, W-) or (fbar, W+),
  if (id1 < 0) swapTU = true;

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for W+ and W- decay angles.
  
double Sigma2ffbar2WW::weightDecay( Event& process, int iResBeg, int iResEnd) {

  // Two resonance decays, but with common weight.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // Order so that fbar(1) f(2) -> f'(3) fbar'(4) f"(5) fbar"(6).
  // with f' fbar' from W- and f" fbar" from W+.
  int i1 = (process[3].id() < 0) ? 3 : 4;
  int i2 = 7 - i1;
  int i3 = (process[7].id() > 0) ? 7 : 8;
  int i4 = 15 - i3;
  int i5 = (process[9].id() > 0) ? 9 : 10;
  int i6 = 19 - i5;

  // Set up four-products and internal products.
  setupProd( process, i1, i2, i3, i4, i5, i6);

  // tHat and uHat of fbar f -> W- W+ opposite to previous convention.
  double tHres   = uH;
  double uHres   = tH;

  //  Couplings of incoming (anti)fermion.
  int idAbs     = process[i1].idAbs();
  double ai     = couplingsPtr->af(idAbs);
  double li     = couplingsPtr->lf(idAbs);
  double ri     = couplingsPtr->rf(idAbs);

  // gamma*/Z0 propagator/interference factor.
  double Zint   = mZS * (sH - mZS) / (pow2(sH - mZS) + mwZS);

  // Combinations of couplings and kinematics (norm(x) = |x|^2).
  double dWW    = (li * Zint + ai) / sH;
  double aWW    = dWW + 0.5 * (ai + 1.) / tHres;
  double bWW    = dWW + 0.5 * (ai - 1.) / uHres;
  double cWW    = ri * Zint / sH;
  double fGK135 = norm( aWW * fGK( 1, 2, 3, 4, 5, 6)
                      - bWW * fGK( 1, 2, 5, 6, 3, 4) );
  double fGK253 = norm( cWW * ( fGK( 2, 1, 5, 6, 3, 4)
                              - fGK( 2, 1, 3, 4, 5, 6) ) );
  double xiT    = xiGK( tHres, uHres);
  double xiU    = xiGK( uHres, tHres);
  double xjTU   = xjGK( tHres, uHres);

  // Weight and maximum weight.
  double wt     = fGK135 + fGK253;
  double wtMax  = 4. * s3 * s4
                * ( aWW * aWW * xiT + bWW * bWW * xiU - aWW * bWW * xjTU
                  + cWW * cWW * (xiT + xiU - xjTU) );

  // Done.
  return wt / wtMax;
}

//==========================================================================

// Sigma2ffbargmZggm class.
// Collects common methods for f fbar -> gamma*/Z0 g/gamma and permutations.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbargmZggm::initProc() {

  // Allow to pick only gamma* or Z0 part of full gamma*/Z0 expression.
  gmZmode     = settingsPtr->mode("WeakZ0:gmZmode");

  // Store Z0 mass and width for propagator.
  mRes        = particleDataPtr->m0(23);
  GammaRes    = particleDataPtr->mWidth(23);
  m2Res       = mRes*mRes;
  GamMRat     = GammaRes / mRes;
  thetaWRat   = 1. / (16. * couplingsPtr->sin2thetaW()
                * couplingsPtr->cos2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(23);

}

//--------------------------------------------------------------------------

// Evaluate sum of flavour couplings times phase space.

void Sigma2ffbargmZggm::flavSum() {

  // Coupling factors for Z0 subsystem.
  double alpSZ = couplingsPtr->alphaS(s3);
  double colQZ = 3. * (1. + alpSZ / M_PI);

  // Reset quantities to sum. Declare variables in loop.
  gamSum = 0.;
  intSum = 0.;
  resSum = 0.;
  int    onMode;
  double mf, mr, psvec, psaxi, betaf, ef2, efvf, vf2af2, colf;

  // Loop over all Z0 decay channels.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    int idAbs = abs( particlePtr->channel(i).product(0) );

    // Only contributions from three fermion generations, except top.
    if ( (idAbs > 0 && idAbs < 6) || ( idAbs > 10 && idAbs < 17)) {
      mf = particleDataPtr->m0(idAbs);

      // Check that above threshold. Phase space.
      if (m3 > 2. * mf + MASSMARGIN) {
        mr    = pow2(mf / m3);
        betaf = sqrtpos(1. - 4. * mr);
        psvec = betaf * (1. + 2. * mr);
        psaxi = pow3(betaf);

        // Combine phase space with couplings.
        ef2    = couplingsPtr->ef2(idAbs) * psvec;
        efvf   = couplingsPtr->efvf(idAbs) * psvec;
        vf2af2 = couplingsPtr->vf2(idAbs) * psvec
               + couplingsPtr->af2(idAbs) * psaxi;
        colf   = (idAbs < 6) ? colQZ : 1.;

        // Store sum of combinations. For outstate only open channels.
        onMode = particlePtr->channel(i).onMode();
        if (onMode == 1 || onMode == 2) {
          gamSum += colf * ef2;
          intSum += colf * efvf;
          resSum += colf * vf2af2;
        }

      // End loop over fermions.
      }
    }
  }

  // Done. Return values in gamSum, intSum and resSum.

}

//--------------------------------------------------------------------------

// Calculate common parts of gamma/interference/Z0 propagator terms.
  
void Sigma2ffbargmZggm::propTerm() {

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  gamProp = 4. * alpEM / (3. * M_PI * s3);
  intProp = gamProp * 2. * thetaWRat * s3 * (s3 - m2Res)
          / ( pow2(s3 - m2Res) + pow2(s3 * GamMRat) );
  resProp = gamProp * pow2(thetaWRat * s3)
          / ( pow2(s3 - m2Res) + pow2(s3 * GamMRat) );

  // Optionally only keep gamma* or Z0 term.
  if (gmZmode == 1) {intProp = 0.; resProp = 0.;}
  if (gmZmode == 2) {gamProp = 0.; intProp = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate weight for gamma*/Z0 decay angle.
  
double Sigma2ffbargmZggm::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Z should sit in entry 5 and one more parton in entry 6.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // In an outgoing sense fermions are labelled f(1) fbar(2) f'(3) fbar'(4)
  // where f' fbar' come from gamma*/Z0 decay.
  int i1, i2;
  int i3 = (process[7].id() > 0) ? 7 : 8;
  int i4 = 15 - i3;

  // Order so that fbar(1) f(2) -> gamma*/Z0 g/gamma.
  if (process[3].idAbs() < 20 && process[4].idAbs() < 20) {
    i1 = (process[3].id() < 0) ? 3 : 4;
    i2 = 7 - i1;

  // Order so that f(2)/fbar(1)  g/gamma -> f(1)/fbar(2) f'(3) gamma*/Z0.
  } else if (process[3].idAbs() < 20) {
    i1 = (process[3].id() < 0) ? 3 : 6;
    i2 = 9 - i1;
  } else {
    i1 = (process[4].id() < 0) ? 4 : 6;
    i2 = 10 - i1;
  }

  // Charge/2, left- and righthanded couplings for in- and out-fermion.
  int id1Abs   = process[i1].idAbs();
  double ei    = 0.5 * couplingsPtr->ef(id1Abs);
  double li    =       couplingsPtr->lf(id1Abs);
  double ri    =       couplingsPtr->rf(id1Abs);
  int id3Abs   = process[i3].idAbs();
  double ef    = 0.5 * couplingsPtr->ef(id3Abs);
  double lf    =       couplingsPtr->lf(id3Abs);
  double rf    =       couplingsPtr->rf(id3Abs);

  // Combinations of left/right for in/out, gamma*/interference/Z0.
  double clilf = ei*ei * gamProp * ef*ef + ei*li * intProp * ef*lf
               + li*li * resProp * lf*lf;
  double clirf = ei*ei * gamProp * ef*ef + ei*li * intProp * ef*rf
               + li*li * resProp * rf*rf;
  double crilf = ei*ei * gamProp * ef*ef + ei*ri * intProp * ef*lf
               + ri*ri * resProp * lf*lf;
  double crirf = ei*ei * gamProp * ef*ef + ei*ri * intProp * ef*rf
               + ri*ri * resProp * rf*rf;

  // Evaluate four-vector products.
  double p13   = process[i1].p() * process[i3].p();
  double p14   = process[i1].p() * process[i4].p();
  double p23   = process[i2].p() * process[i3].p();
  double p24   = process[i2].p() * process[i4].p();

  // Calculate weight and its maximum.
  double wt    = (clilf + crirf) * (p13*p13 + p24*p24)
               + (clirf + crilf) * (p14*p14 + p23*p23) ;
  double wtMax = (clilf + clirf + crilf + crirf)
               * (pow2(p13 + p14) + pow2(p23 + p24));
 
  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma2qqbar2gmZg class.
// Cross section for q qbar -> gamma*/Z0 g.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2gmZg::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM * alpS)
    * (2./9.) * (tH2 + uH2 + 2. * sH * s3) / (tH * uH);

  // Calculate flavour sums for final state.
  flavSum();

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  propTerm();

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2gmZg::sigmaHat() {

  // Combine gamma, interference and Z0 parts.
  int idAbs    = abs(id1);
  double sigma = sigma0
               * ( couplingsPtr->ef2(idAbs)    * gamProp * gamSum
                 + couplingsPtr->efvf(idAbs)   * intProp * intSum
                 + couplingsPtr->vf2af2(idAbs) * resProp * resSum);

  // Correct for the running-width Z0 propagater weight in PhaseSpace.
  sigma       /= runBW3;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2gmZg::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 23, 21);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 0, 0, 1, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qg2gmZq class.
// Cross section for q g -> gamma*/Z0 q.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qg2gmZq::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM * alpS)
    * (1./12.) * (sH2 + uH2 + 2. * tH * s3) / (-sH * uH);

  // Calculate flavour sums for final state.
  flavSum();

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  propTerm();

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qg2gmZq::sigmaHat() {

  // Combine gamma, interference and Z0 parts.
  int idAbs    = (id2 == 21) ? abs(id1) : abs(id2);
  double sigma = sigma0
               * ( couplingsPtr->ef2(idAbs)    * gamProp * gamSum
                 + couplingsPtr->efvf(idAbs)   * intProp * intSum
                 + couplingsPtr->vf2af2(idAbs) * resProp * resSum);

  // Correct for the running-width Z0 propagater weight in PhaseSpace.
  sigma       /= runBW3;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2gmZq::setIdColAcol() {

  // Flavour set up for q g -> gamma*/Z0 q.
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, 23, idq);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2gmZgm class.
// Cross section for f fbar -> gamma*/Z0 gamma.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2gmZgm::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM*alpEM)
    * 0.5 * (tH2 + uH2 + 2. * sH * s3) / (tH * uH);

  // Calculate flavour sums for final state.
  flavSum();

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  propTerm();


}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2gmZgm::sigmaHat() {

  // Combine gamma, interference and Z0 parts.
  int idAbs    = abs(id1);
  double sigma = sigma0 * couplingsPtr->ef2(idAbs)
               * ( couplingsPtr->ef2(idAbs)    * gamProp * gamSum
                 + couplingsPtr->efvf(idAbs)   * intProp * intSum
                 + couplingsPtr->vf2af2(idAbs) * resProp * resSum);

  // Correct for the running-width Z0 propagater weight in PhaseSpace.
  sigma       /= runBW3;

  // Colour factor. Answer.
  if (idAbs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2gmZgm::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 23, 22);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2fgm2gmZf class.
// Cross section for f gamma -> gamma*/Z0 f'.

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2fgm2gmZf::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM*alpEM)
    * 0.5 * (sH2 + uH2 + 2. * tH * s3) / (- sH * uH);

  // Calculate flavour sums for final state.
  flavSum();

  // Calculate prefactors for gamma/interference/Z0 cross section terms.
  propTerm();

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2fgm2gmZf::sigmaHat() {

  // Combine gamma, interference and Z0 parts.
  int idAbs    = (id2 == 22) ? abs(id1) : abs(id2);
  double sigma = sigma0 * couplingsPtr->ef2(idAbs)
               * ( couplingsPtr->ef2(idAbs)    * gamProp * gamSum
                 + couplingsPtr->efvf(idAbs)   * intProp * intSum
                 + couplingsPtr->vf2af2(idAbs) * resProp * resSum);

  // Correct for the running-width Z0 propagater weight in PhaseSpace.
  sigma         /= runBW3;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2fgm2gmZf::setIdColAcol() {

  // Flavour set up for q gamma -> gamma*/Z0 q.
  int idq = (id2 == 22) ? id1 : id2;
  setId( id1, id2, 23, idq);

  // tH defined between f and f': must swap tHat <-> uHat if q gamma in.
  swapTU = (id2 == 22);

  // Colour flow topologies. Swap when antiquarks.
  if      (abs(id1) < 9) setColAcol( 1, 0, 0, 0, 0, 0, 1, 0);
  else if (abs(id2) < 9) setColAcol( 0, 0, 1, 0, 0, 0, 1, 0);
  else                   setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbarWggm class.
// Collects common methods for f fbar -> W+- g/gamma and permutations.

//--------------------------------------------------------------------------

// Evaluate weight for W+- decay angle.
  
double Sigma2ffbarWggm::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // W should sit in entry 5 and one more parton in entry 6.
  if (iResBeg != 5 || iResEnd != 6) return 1.;

  // In an outgoing sense fermions are labelled f(1) fbar(2) f'(3) fbar'(4)
  // where f' fbar' come from W+- decay.
  int i1, i2;
  int i3 = (process[7].id() > 0) ? 7 : 8;
  int i4 = 15 - i3;

  // Order so that fbar(1) f(2) -> W+- g/gamma.
  if (process[3].idAbs() < 20 && process[4].idAbs() < 20) {
    i1 = (process[3].id() < 0) ? 3 : 4;
    i2 = 7 - i1;

  // Order so that f(2)/fbar(1)  g/gamma -> f(1)/fbar(2) f'(3) W+-.
  } else if (process[3].idAbs() < 20) {
    i1 = (process[3].id() < 0) ? 3 : 6;
    i2 = 9 - i1;
  } else {
    i1 = (process[4].id() < 0) ? 4 : 6;
    i2 = 10 - i1;
  }

  // Evaluate four-vector products.
  double p13 = process[i1].p() * process[i3].p();
  double p14 = process[i1].p() * process[i4].p();
  double p23 = process[i2].p() * process[i3].p();
  double p24 = process[i2].p() * process[i4].p();

  // Calculate weight and its maximum.
  double wt    = pow2(p13) + pow2(p24);
  double wtMax = pow2(p13 + p14) + pow2(p23 + p24);
 
  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma2qqbar2Wg class.
// Cross section for q qbar' -> W+- g.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2Wg::initProc() {

  // Secondary open width fractions, relevant for top (or heavier).
  openFracPos = particleDataPtr->resOpenFrac(24);
  openFracNeg = particleDataPtr->resOpenFrac(-24);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2Wg::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM * alpS / couplingsPtr->sin2thetaW())
    * (2./9.) * (tH2 + uH2 + 2. * sH * s3) / (tH * uH);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2Wg::sigmaHat() {

  // CKM factor. Secondary width for W+ or W-.
  double sigma = sigma0 * couplingsPtr->V2CKMid(abs(id1), abs(id2));
  int idUp     = (abs(id1)%2 == 0) ? id1 : id2;
  sigma       *= (idUp > 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2Wg::setIdColAcol() {

  // Sign of outgoing W.
  int sign = 1 - 2 * (abs(id1)%2);
  if (id1 < 0) sign = -sign;
  setId( id1, id2, 24 * sign, 21);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 0, 0, 1, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qg2Wq class.
// Cross section for q g -> W+- q'.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2Wq::initProc() {

  // Secondary open width fractions, relevant for top (or heavier).
  openFracPos = particleDataPtr->resOpenFrac(24);
  openFracNeg = particleDataPtr->resOpenFrac(-24);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qg2Wq::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM * alpS / couplingsPtr->sin2thetaW())
    * (1./12.) * (sH2 + uH2 + 2. * tH * s3) / (-sH * uH);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qg2Wq::sigmaHat() {

  // CKM factor. Secondary width for W+ or W-.
  int idAbs    = (id2 == 21) ? abs(id1) : abs(id2);
  double sigma = sigma0 * couplingsPtr->V2CKMsum(idAbs);
  int idUp     = (id2 == 21) ? id1 : id2;
  if (idAbs%2 == 1) idUp = -idUp;
  sigma       *= (idUp > 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2Wq::setIdColAcol() {

  // Sign of outgoing W. Flavour of outgoing quark.
  int idq           = (id2 == 21) ? id1 : id2;
  int sign          = 1 - 2 * (abs(idq)%2);
  if (idq < 0) sign = -sign;
  id4 = couplingsPtr->V2CKMpick(idq);

  // Flavour set up for q g -> W q.
  setId( id1, id2, 24 * sign, id4);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2Wgm class.
// Cross section for f fbar' -> W+- gamma.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2Wgm::initProc() {

  // Secondary open width fractions, relevant for top (or heavier).
  openFracPos = particleDataPtr->resOpenFrac(24);
  openFracNeg = particleDataPtr->resOpenFrac(-24);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2Wgm::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM*alpEM / couplingsPtr->sin2thetaW())
    * 0.5 * (tH2 + uH2 + 2. * sH * s3) / (tH * uH);
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2Wgm::sigmaHat() {

  // Extrafactor different for e nu and q qbar' instate.
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  double chgUp = (id1Abs > 10) ? 0. : 2./3.;
  double sigma = sigma0 * pow2( chgUp - tH / (tH + uH) );

  // CKM and colour factors. Secondary width for W+ or W-.
  if (id1Abs < 9) sigma *= couplingsPtr->V2CKMid(id1Abs, id2Abs) / 3.;
  int idUp     = (abs(id1)%2 == 0) ? id1 : id2;
  sigma       *= (idUp > 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2Wgm::setIdColAcol() {

  // Sign of outgoing W.
  int sign          = 1 - 2 * (abs(id1)%2);
  if (id1 < 0) sign = -sign;
  setId( id1, id2, 24 * sign, 22);

  // tH defined between (f,W-) or (fbar',W+).
  swapTU = (sign * id1 > 0);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2fgm2Wf class.
// Cross section for f gamma -> W+- f'.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2fgm2Wf::initProc() {

  // Secondary open width fractions, relevant for top (or heavier).
  openFracPos = particleDataPtr->resOpenFrac(24);
  openFracNeg = particleDataPtr->resOpenFrac(-24);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2fgm2Wf::sigmaKin() {

  // Cross section part common for all incoming flavours.
  sigma0 = (M_PI / sH2) * (alpEM*alpEM / couplingsPtr->sin2thetaW())
    * 0.5 * (sH2 + uH2 + 2. * tH * s3) / (pT2 * s3 - sH * uH);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2fgm2Wf::sigmaHat() {

  // Extrafactor dependent on charge of incoming fermion.
  int idAbs     = (id2 == 22) ? abs(id1) : abs(id2);
  double charge = (idAbs > 10) ? 1. : ( (idAbs%2 == 1) ? 1./3. : 2./3. );
  double sigma  = sigma0 * pow2( charge  - sH / (sH + uH) );

  // CKM factor. Secondary width for W+ or W-.
  sigma        *= couplingsPtr->V2CKMsum(idAbs);
  int idUp      = (id2 == 22) ? id1 : id2;
  if (idAbs%2 == 1) idUp = -idUp;
  sigma        *= (idUp > 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2fgm2Wf::setIdColAcol() {

  // Sign of outgoing W. Flavour of outgoing fermion.
  int idq           = (id2 == 22) ? id1 : id2;
  int sign          = 1 - 2 * (abs(idq)%2);
  if (idq < 0) sign = -sign;
  id4 = couplingsPtr->V2CKMpick(idq);

  // Flavour set up for q gamma -> W q.
  setId( id1, id2, 24 * sign, id4);

  // tH defined between f and f': must swap tHat <-> uHat if q gamma in.
  swapTU = (id2 == 22);

  // Colour flow topologies. Swap when antiquarks.
  if      (abs(id1) < 9) setColAcol( 1, 0, 0, 0, 0, 0, 1, 0);
  else if (abs(id2) < 9) setColAcol( 0, 0, 1, 0, 0, 0, 1, 0);
  else                   setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2gmgm2ffbar class.
// Cross section for gamma gamma -> l lbar.

//--------------------------------------------------------------------------

// Initialize process wrt flavour.

void Sigma2gmgm2ffbar::initProc() {

  // Process name.
  nameSave = "gamma gamma -> f fbar";
  if (idNew ==  1) nameSave = "gamma gamma -> q qbar (uds)";
  if (idNew ==  4) nameSave = "gamma gamma -> c cbar";
  if (idNew ==  5) nameSave = "gamma gamma -> b bbar";
  if (idNew ==  6) nameSave = "gamma gamma -> t tbar";
  if (idNew == 11) nameSave = "gamma gamma -> e+ e-";
  if (idNew == 13) nameSave = "gamma gamma -> mu+ mu-";
  if (idNew == 15) nameSave = "gamma gamma -> tau+ tau-";

  // Generate massive phase space, except for u+d+s.
  idMass = 0;
  if (idNew > 3) idMass = idNew;

  // Charge and colour factor.
  ef4 = 1.;
  if (idNew == 1) ef4 = 3. * (pow4(2./3.) + 2. * pow4(1./3.));
  if (idNew == 4 || idNew == 6) ef4 = 3. * pow4(2./3.);
  if (idNew == 5) ef4 = 3. * pow4(1./3.);

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gmgm2ffbar::sigmaKin() {

  // Pick current flavour for u+d+s mix by e_q^4 weights.
  if (idNew == 1) {
    double rId = 18. * rndmPtr->flat();
    idNow = 1;
    if (rId > 1.)  idNow = 2;
    if (rId > 17.) idNow = 3;
    s34Avg = pow2(particleDataPtr->m0(idNow));
  } else {
    idNow = idNew;
    s34Avg = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  }

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  double tHQ    = -0.5 * (sH - tH + uH);
  double uHQ    = -0.5 * (sH + tH - uH);
  double tHQ2   = tHQ * tHQ;
  double uHQ2   = uHQ * uHQ;

  // Calculate kinematics dependence.
  if (sH < 4. * s34Avg) sigTU = 0.;
  else sigTU = 2. * (tHQ * uHQ - s34Avg * sH)
    * (tHQ2 + uHQ2 + 2. * s34Avg * sH) / (tHQ2 * uHQ2);

  // Answer.
  sigma = (M_PI / sH2) * pow2(alpEM) * ef4 * sigTU * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gmgm2ffbar::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idNow, -idNow);

  // Colour flow in singlet state.
  if (idNow < 10) setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else            setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SpaceShower.cc0000644000175000017500000027700612357054765015712 0ustar  sunsun// SpaceShower.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// SpaceShower class.

#include "Pythia8/SpaceShower.h"

namespace Pythia8 {

//==========================================================================

// The SpaceShower class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Leftover companion can give PDF > 0 at small Q2 where other PDF's = 0,
// and then one can end in infinite loop of impossible kinematics.
const int    SpaceShower::MAXLOOPTINYPDF = 10;

// Minimal allowed c and b quark masses, for flavour thresholds.
const double SpaceShower::MCMIN          = 1.2;
const double SpaceShower::MBMIN          = 4.0;

// Switch to alternative (but equivalent) backwards evolution for
// g -> Q Qbar (Q = c or b) when below QTHRESHOLD * mQ2.
const double SpaceShower::CTHRESHOLD     = 2.0;
const double SpaceShower::BTHRESHOLD     = 2.0;

// Renew evaluation of PDF's when the pT2 step is bigger than this
// (in addition to initial scale and c and b thresholds.)
const double SpaceShower::EVALPDFSTEP    = 0.1;

// Lower limit on PDF value in order to avoid division by zero.
const double SpaceShower::TINYPDF        = 1e-10;

// Lower limit on estimated evolution rate, below which stop.
const double SpaceShower::TINYKERNELPDF  = 1e-6;

// Lower limit on pT2, below which branching is rejected.
const double SpaceShower::TINYPT2        = 0.25e-6;

// No attempt to do backwards evolution of a heavy (c or b) quark
// if evolution starts at a scale pT2 < HEAVYPT2EVOL * mQ2.
const double SpaceShower::HEAVYPT2EVOL   = 1.1;

// No attempt to do backwards evolution of a heavy (c or b) quark
// if evolution starts at a  x > HEAVYXEVOL * x_max, where
// x_max is the largest possible x value for a g -> Q Qbar branching.
const double SpaceShower::HEAVYXEVOL     = 0.9;
  
// When backwards evolution Q -> g + Q creates a heavy quark Q,
// an earlier branching g -> Q + Qbar will restrict kinematics
// to  M_{Q Qbar}^2 > EXTRASPACEQ * 4 m_Q^2. (Smarter to be found??)
const double SpaceShower::EXTRASPACEQ    = 2.0;

// Never pick pT so low that alphaS is evaluated too close to Lambda_3.
const double SpaceShower::LAMBDA3MARGIN  = 1.1;

// Do not warn for large PDF ratios at small pT2 scales.
const double SpaceShower::PT2MINWARN = 1.;

// Cutoff for f_e^e at x < 1 - 10^{-10} to be used in z selection.
// Note: the x_min quantity come from 1 - x_max.
const double SpaceShower::LEPTONXMIN     = 1e-10;
const double SpaceShower::LEPTONXMAX     = 1. - 1e-10;

// Stop l -> l gamma evolution slightly above m2l.
const double SpaceShower::LEPTONPT2MIN   = 1.2;

// Enhancement of l -> l gamma trial rate to compensate imperfect modelling.
const double SpaceShower::LEPTONFUDGE    = 10.;

// Overestimation extra factor for t-channel weak ME corrections.
const double SpaceShower::WEAKPSWEIGHT = 5.;

// Overestimation extra factors by branching type
const double SpaceShower::HEADROOMQ2G = 1.35;
const double SpaceShower::HEADROOMQ2Q = 1.15;
const double SpaceShower::HEADROOMG2Q = 1.35;
const double SpaceShower::HEADROOMG2G = 1.35;

//--------------------------------------------------------------------------

// Initialize alphaStrong, alphaEM and related pTmin parameters.

void SpaceShower::init( BeamParticle* beamAPtrIn,
  BeamParticle* beamBPtrIn) {

  // Store input pointers for future use.
  beamAPtr        = beamAPtrIn;
  beamBPtr        = beamBPtrIn;

  // Main flags to switch on and off branchings.
  doQCDshower     = settingsPtr->flag("SpaceShower:QCDshower");
  doQEDshowerByQ  = settingsPtr->flag("SpaceShower:QEDshowerByQ");
  doQEDshowerByL  = settingsPtr->flag("SpaceShower:QEDshowerByL");
  doWeakShower    = settingsPtr->flag("SpaceShower:WeakShower");

  // Matching in pT of hard interaction to shower evolution.
  pTmaxMatch      = settingsPtr->mode("SpaceShower:pTmaxMatch");
  pTdampMatch     = settingsPtr->mode("SpaceShower:pTdampMatch");
  pTmaxFudge      = settingsPtr->parm("SpaceShower:pTmaxFudge");
  pTmaxFudgeMPI   = settingsPtr->parm("SpaceShower:pTmaxFudgeMPI");
  pTdampFudge     = settingsPtr->parm("SpaceShower:pTdampFudge");

  // Optionally force emissions to be ordered in rapidity/angle.
  doRapidityOrder = settingsPtr->flag("SpaceShower:rapidityOrder");

  // Charm, bottom and lepton mass thresholds.
  mc              = max( MCMIN, particleDataPtr->m0(4));
  mb              = max( MBMIN, particleDataPtr->m0(5));
  m2c             = pow2(mc);
  m2b             = pow2(mb);

  // Parameters of scale choices.
  renormMultFac     = settingsPtr->parm("SpaceShower:renormMultFac");
  factorMultFac     = settingsPtr->parm("SpaceShower:factorMultFac");
  useFixedFacScale  = settingsPtr->flag("SpaceShower:useFixedFacScale");
  fixedFacScale2    = pow2(settingsPtr->parm("SpaceShower:fixedFacScale"));

  // Parameters of alphaStrong generation.
  alphaSvalue     = settingsPtr->parm("SpaceShower:alphaSvalue");
  alphaSorder     = settingsPtr->mode("SpaceShower:alphaSorder");
  alphaSnfmax     = settingsPtr->mode("StandardModel:alphaSnfmax");
  alphaSuseCMW    = settingsPtr->flag("SpaceShower:alphaSuseCMW");
  alphaS2pi       = 0.5 * alphaSvalue / M_PI;
  
  // Initialize alpha_strong generation.
  alphaS.init( alphaSvalue, alphaSorder, alphaSnfmax, alphaSuseCMW);
  
  // Lambda for 5, 4 and 3 flavours.
  Lambda5flav     = alphaS.Lambda5();
  Lambda4flav     = alphaS.Lambda4();
  Lambda3flav     = alphaS.Lambda3();
  Lambda5flav2    = pow2(Lambda5flav);
  Lambda4flav2    = pow2(Lambda4flav);
  Lambda3flav2    = pow2(Lambda3flav);
 
  // Regularization of QCD evolution for pT -> 0. Can be taken
  // same as for multiparton interactions, or be set separately.
  useSamePTasMPI  = settingsPtr->flag("SpaceShower:samePTasMPI");
  if (useSamePTasMPI) {
    pT0Ref        = settingsPtr->parm("MultipartonInteractions:pT0Ref");
    ecmRef        = settingsPtr->parm("MultipartonInteractions:ecmRef");
    ecmPow        = settingsPtr->parm("MultipartonInteractions:ecmPow");
    pTmin         = settingsPtr->parm("MultipartonInteractions:pTmin");
  } else {
    pT0Ref        = settingsPtr->parm("SpaceShower:pT0Ref");
    ecmRef        = settingsPtr->parm("SpaceShower:ecmRef");
    ecmPow        = settingsPtr->parm("SpaceShower:ecmPow");
    pTmin         = settingsPtr->parm("SpaceShower:pTmin");
  }

  // Calculate nominal invariant mass of events. Set current pT0 scale.
  sCM             = m2( beamAPtr->p(), beamBPtr->p());
  eCM             = sqrt(sCM);
  pT0             = pT0Ref * pow(eCM / ecmRef, ecmPow);

  // Restrict pTmin to ensure that alpha_s(pTmin^2 + pT_0^2) does not blow up.
  double pTminAbs = sqrtpos(pow2(LAMBDA3MARGIN) * Lambda3flav2 / renormMultFac
                  - pT0*pT0);
  if (pTmin < pTminAbs) {
    pTmin         = pTminAbs;
    ostringstream newPTmin;
    newPTmin << fixed << setprecision(3) << pTmin;
    infoPtr->errorMsg("Warning in SpaceShower::init: pTmin too low",
                      ", raised to " + newPTmin.str() );
    infoPtr->setTooLowPTmin(true);
  }

  // Parameters of alphaEM generation.
  alphaEMorder    = settingsPtr->mode("SpaceShower:alphaEMorder");

  // Initialize alphaEM generation.
  alphaEM.init( alphaEMorder, settingsPtr);
 
  // Parameters of QED evolution.
  pTminChgQ       = settingsPtr->parm("SpaceShower:pTminchgQ");
  pTminChgL       = settingsPtr->parm("SpaceShower:pTminchgL");

  // Derived parameters of QCD evolution.
  pT20            = pow2(pT0);
  pT2min          = pow2(pTmin);
  pT2minChgQ      = pow2(pTminChgQ);
  pT2minChgL      = pow2(pTminChgL);

  // Parameters of weak evolution.
  weakMode           = settingsPtr->mode("SpaceShower:weakShowerMode");
  pTweakCut          = settingsPtr->parm("SpaceShower:pTminWeak");
  pT2weakCut         = pow2(pTweakCut);
  weakEnhancement    = settingsPtr->parm("WeakShower:enhancement");
  singleWeakEmission = settingsPtr->flag("WeakShower:singleEmission");
  vetoWeakJets       = settingsPtr->flag("WeakShower:vetoWeakJets");
  vetoWeakDeltaR2    = pow2(settingsPtr->parm("weakShower:vetoWeakDeltaR"));

  // Various other parameters.
  doMEcorrections    = settingsPtr->flag("SpaceShower:MEcorrections");
  doMEafterFirst     = settingsPtr->flag("SpaceShower:MEafterFirst");
  doPhiPolAsym       = settingsPtr->flag("SpaceShower:phiPolAsym");
  doPhiIntAsym       = settingsPtr->flag("SpaceShower:phiIntAsym");
  strengthIntAsym    = settingsPtr->parm("SpaceShower:strengthIntAsym");
  nQuarkIn           = settingsPtr->mode("SpaceShower:nQuarkIn");

  // Z0 and W+- properties needed for weak showers.
  mZ                 = particleDataPtr->m0(23);
  gammaZ             = particleDataPtr->mWidth(23);
  thetaWRat          = 1. / (16. * coupSMPtr->sin2thetaW()
                       * coupSMPtr->cos2thetaW());
  mW                 = particleDataPtr->m0(24);
  gammaW             = particleDataPtr->mWidth(24);

  // Possibility of two predetermined hard emissions in event.
  doSecondHard       = settingsPtr->flag("SecondHard:generate");

  // Optional dampening at small pT's when large multiplicities.
  enhanceScreening
    = settingsPtr->mode("MultipartonInteractions:enhanceScreening");
  if (!useSamePTasMPI) enhanceScreening = 0;

  // Possibility to allow user veto of emission step.
  canVetoEmission    = (userHooksPtr != 0)
                     ? userHooksPtr->canVetoISREmission() : false;

  // Default values for the weak shower.
  hasWeaklyRadiated  = false;
  weakMaxWt          = 1.;

}

//--------------------------------------------------------------------------

// Find whether to limit maximum scale of emissions.
// Also allow for dampening at factorization or renormalization scale.

bool SpaceShower::limitPTmax( Event& event, double Q2Fac, double Q2Ren) {

  // Find whether to limit pT. Begin by user-set cases.
  bool dopTlimit = false;
  dopTlimit1 = dopTlimit2 = false;
  if      (pTmaxMatch == 1) dopTlimit = dopTlimit1 = dopTlimit2 = true;
  else if (pTmaxMatch == 2) dopTlimit = dopTlimit1 = dopTlimit2 = false;

  // Always restrict SoftQCD processes.
  else if (infoPtr->isNonDiffractive() || infoPtr->isDiffractiveA()
    || infoPtr->isDiffractiveB() || infoPtr->isDiffractiveC() )
    dopTlimit = dopTlimit1 = dopTlimit2 = true;
   
  // Look if any quark (u, d, s, c, b), gluon or photon in final state.
  else {
    int n21 = 0;
    for (int i = 5; i < event.size(); ++i) {
      if (event[i].status() == -21) ++n21;
      else if (n21 == 0) {
        int idAbs = event[i].idAbs();
        if (idAbs <= 5 || idAbs == 21 || idAbs == 22) dopTlimit1 = true;
      } else if (n21 == 2) {
        int idAbs = event[i].idAbs();
        if (idAbs <= 5 || idAbs == 21 || idAbs == 22) dopTlimit2 = true;
      }
    }
    dopTlimit = (doSecondHard) ? (dopTlimit1 && dopTlimit2) : dopTlimit1;
  }

  // Dampening at factorization or renormalization scale; only for hardest.
  dopTdamp   = false;
  pT2damp    = 0.;
  if ( !dopTlimit1 && (pTdampMatch == 1 || pTdampMatch == 2) ) {
    dopTdamp = true;
    pT2damp  = pow2(pTdampFudge) * ((pTdampMatch == 1) ? Q2Fac : Q2Ren);
  }

  // Done.
  return dopTlimit;
 
}

//--------------------------------------------------------------------------

// Prepare system for evolution; identify ME.
// Routine may be called after multiparton interactions, for a new subystem.

void SpaceShower::prepare( int iSys, Event& event, bool limitPTmaxIn) {

  // Reset W/Z radiation flag and counters at first call for new event.
  if (iSys == 0) {
    nRadA.clear();
    nRadB.clear();
    hasWeaklyRadiated = false;
  }

  // Find positions of incoming colliding partons.
  int in1 = partonSystemsPtr->getInA(iSys);
  int in2 = partonSystemsPtr->getInB(iSys);

  // Rescattered partons cannot radiate.
  bool canRadiate1 = !(event[in1].isRescatteredIncoming());
  bool canRadiate2 = !(event[in2].isRescatteredIncoming());

  // Reset dipole-ends list for first interaction. Also resonances.
  if (iSys == 0) dipEnd.resize(0);
  if (iSys == 0) idResFirst  = 0;
  if (iSys == 1) idResSecond = 0;

  // Find matrix element corrections for system.
  int MEtype = findMEtype( iSys, event, false);

  // In case of DPS overwrite limitPTmaxIn by saved value.
  if (doSecondHard && iSys == 0) limitPTmaxIn = dopTlimit1;
  if (doSecondHard && iSys == 1) limitPTmaxIn = dopTlimit2;

  // Maximum pT scale for dipole ends.
  double pTmax1 = (limitPTmaxIn) ? event[in1].scale() : eCM;
  double pTmax2 = (limitPTmaxIn) ? event[in2].scale() : eCM;
  if ( limitPTmaxIn && (iSys == 0 || (iSys == 1 && doSecondHard)) ) {
    pTmax1 *= pTmaxFudge;
    pTmax2 *= pTmaxFudge;
  } else if (limitPTmaxIn && iSys > 0) {
    pTmax1 *= pTmaxFudgeMPI;
    pTmax2 *= pTmaxFudgeMPI;
  }

  // Find dipole ends for QCD radiation.
  // Note: colour type can change during evolution, so book also if zero.
  if (doQCDshower) {
    int colType1 = event[in1].colType();
    if (canRadiate1) dipEnd.push_back( SpaceDipoleEnd( iSys,  1,
      in1, in2, pTmax1, colType1, 0, 0, MEtype, canRadiate2) );
    int colType2 = event[in2].colType();
    if (canRadiate2) dipEnd.push_back( SpaceDipoleEnd( iSys,  2,
      in2, in1, pTmax2, colType2, 0, 0, MEtype, canRadiate1) );
  }

  // Find dipole ends for QED radiation.
  // Note: charge type can change during evolution, so book also if zero.
  if (doQEDshowerByQ || doQEDshowerByL) {
    int chgType1 = ( (event[in1].isQuark() && doQEDshowerByQ)
      || (event[in1].isLepton() && doQEDshowerByL) )
      ? event[in1].chargeType() : 0;
    // Special: photons have charge zero, but can evolve (only off Q for now)
    if (event[in1].id() == 22 && doQEDshowerByQ) chgType1 = 22 ;
    if (canRadiate1) dipEnd.push_back( SpaceDipoleEnd( iSys, -1,
      in1, in2, pTmax1, 0, chgType1, 0, MEtype, canRadiate2) );
    int chgType2 = ( (event[in2].isQuark() && doQEDshowerByQ)
      || (event[in2].isLepton() && doQEDshowerByL) )
      ? event[in2].chargeType() : 0;
    // Special: photons have charge zero, but can evolve (only off Q for now)
    if (event[in2].id() == 22 && doQEDshowerByQ) chgType2 = 22 ;
    if (canRadiate2) dipEnd.push_back( SpaceDipoleEnd( iSys, -2,
      in2, in1, pTmax2, 0, chgType2, 0, MEtype, canRadiate1) );
  }

  // Find dipole ends for weak radiation. No right-handed W emission.
  // Currently leptons are not allow to emit W bosons and only
  // emissions from the hard process are included.
  if (doWeakShower && iSys == 0) {

    // Determine what type of 2 -> 2 process it is.
    int MEtypeWeak = findMEtype( iSys, event, true);
    if (MEtypeWeak == 201 || MEtypeWeak == 202 || MEtypeWeak == 203 ||
        MEtypeWeak == 206 || MEtypeWeak == 207 || MEtypeWeak == 208) {

      // Nonidentical incoming flavours.
      if (event[in1].id() != event[in2].id()) {
        if (event[in1].id() == event[in1 + 2].id()) tChannel = true;
        else if (event[in2].id() == event[in1 + 2].id()) tChannel = false;
        // No quark matches the outgoing, choose randomly.
        else tChannel = (rndmPtr->flat() < 0.5);
      // In case of same quark flavours, choose randomly.
      } else tChannel = (rndmPtr->flat() < 0.5);
    }

    // Set up weak dipole ends for first incoming parton.
    int weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
    if (event[in1].idAbs() < 20) event[in1].pol(weakPol);
    if (canRadiate1) {
      if ( (weakMode == 0 || weakMode == 1) && weakPol == -1
        && event[in1].isQuark() )
        dipEnd.push_back( SpaceDipoleEnd( iSys, 1, in1, in2, pTmax1,
          0, 0, 1, MEtypeWeak, canRadiate2, weakPol) );
      if ( (weakMode == 0 || weakMode == 2)
        && (event[in1].isQuark() || event[in1].isLepton()) )
        dipEnd.push_back( SpaceDipoleEnd( iSys, 1, in1, in2, pTmax1,
          0, 0, 2, MEtypeWeak + 5, canRadiate2, weakPol) );
    }

    // Set up weak dipole ends for second incoming parton.
    if (event[in1].id() != - event[in2].id())
      weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
    if (event[in2].idAbs() < 20) event[in2].pol(weakPol);
    if (canRadiate2) {
      if ( (weakMode == 0 || weakMode == 1) && weakPol == -1
        && event[in2].isQuark())
        dipEnd.push_back( SpaceDipoleEnd( iSys, 2, in2, in1, pTmax2,
          0, 0, 1, MEtypeWeak, canRadiate1, weakPol) );
      if ( (weakMode == 0 || weakMode == 2) &&
        (event[in2].isQuark() || event[in2].isLepton()) )
        dipEnd.push_back( SpaceDipoleEnd( iSys, 2, in2, in1, pTmax2,
          0, 0, 2, MEtypeWeak + 5, canRadiate1, weakPol) );
    }
  }

  // Store the z and pT2 values of the last previous splitting
  // when an event history has already been constructed.
  if (iSys == 0 && infoPtr->hasHistory()) {
    double zNow   = infoPtr->zNowISR();
    double pT2Now = infoPtr->pT2NowISR();
    for (int iDipEnd = 0; iDipEnd < int(dipEnd.size()); ++iDipEnd) {
      dipEnd[iDipEnd].zOld = zNow;
      dipEnd[iDipEnd].pT2Old = pT2Now;
      ++dipEnd[iDipEnd].nBranch;
    }
  }

}

//--------------------------------------------------------------------------
 
// Select next pT in downwards evolution of the existing dipoles.

double SpaceShower::pTnext( Event& event, double pTbegAll, double pTendAll,
  int nRadIn) {

  // Current cm energy, in case it varies between events.
  sCM           = m2( beamAPtr->p(), beamBPtr->p());
  eCM           = sqrt(sCM);
  pTbegRef      = pTbegAll;

  // Starting values: no radiating dipole found.
  nRad          = nRadIn;
  double pT2sel = pow2(pTendAll);
  iDipSel       = 0;
  iSysSel       = 0;
  dipEndSel     = 0;

  // Loop over all possible dipole ends.
  for (int iDipEnd = 0; iDipEnd < int(dipEnd.size()); ++iDipEnd) {
    iDipNow        = iDipEnd;
    dipEndNow      = &dipEnd[iDipEnd];
    iSysNow        = dipEndNow->system;
    dipEndNow->pT2 = 0.;
    double pTbegDip = min( pTbegAll, dipEndNow->pTmax );

    // Check whether dipole end should be allowed to shower.
    double pT2begDip = pow2(pTbegDip);
    if (pT2begDip > pT2sel && ( dipEndNow->colType != 0
      || dipEndNow->chgType != 0 || dipEndNow->weakType != 0) ) {
      double pT2endDip = 0.;

      // Determine lower cut for evolution, for QCD or QED (q or l).
      if (dipEndNow->colType != 0)
        pT2endDip = max( pT2sel, pT2min );
      else if (abs(dipEndNow->weakType) != 0)
        pT2endDip = max( pT2sel, pT2weakCut);
      else if (abs(dipEndNow->chgType) != 3 && dipEndNow->chgType != 0)
        pT2endDip = max( pT2sel, pT2minChgQ );
      else
        pT2endDip = max( pT2sel, pT2minChgL );

      // Find properties of dipole and radiating dipole end.
      sideA        = ( abs(dipEndNow->side) == 1 );
      BeamParticle& beamNow = (sideA) ? *beamAPtr : *beamBPtr;
      BeamParticle& beamRec = (sideA) ? *beamBPtr : *beamAPtr;
      iNow         = beamNow[iSysNow].iPos();
      iRec         = beamRec[iSysNow].iPos();
      idDaughter   = beamNow[iSysNow].id();
      xDaughter    = beamNow[iSysNow].x();
      x1Now        = (sideA) ? xDaughter : beamRec[iSysNow].x();
      x2Now        = (sideA) ? beamRec[iSysNow].x() : xDaughter;

      // Note dipole mass correction when recoiler is a rescatter.
      m2Rec        = (dipEndNow->normalRecoil) ? 0. : event[iRec].m2();
      m2Dip        = x1Now * x2Now * sCM + m2Rec;

      // Now do evolution in pT2, for QCD, QED or weak.
      if (pT2begDip > pT2endDip) {
        if (dipEndNow->colType != 0)       pT2nextQCD( pT2begDip, pT2endDip);
        else if (dipEndNow->chgType != 0 || idDaughter == 22)
          pT2nextQED( pT2begDip, pT2endDip);
        else if (dipEndNow->weakType != 0) pT2nextWeak( pT2begDip, pT2endDip);
      
        // Update if found larger pT than current maximum.
        if (dipEndNow->pT2 > pT2sel) {
          pT2sel    = dipEndNow->pT2;
          iDipSel   = iDipNow;
          iSysSel   = iSysNow;
          dipEndSel = dipEndNow;
        }
      }
    }
  // End loop over dipole ends.
  }

  // Return nonvanishing value if found pT is bigger than already found.
  return (dipEndSel == 0) ? 0. : sqrt(pT2sel);
}

//--------------------------------------------------------------------------

// Evolve a QCD dipole end.

void SpaceShower::pT2nextQCD( double pT2begDip, double pT2endDip) {

  // Some properties and kinematical starting values.
  BeamParticle& beam = (sideA) ? *beamAPtr : *beamBPtr;
  bool   isGluon     = (idDaughter == 21);
  bool   isValence   = beam[iSysNow].isValence();
  int    MEtype      = dipEndNow->MEtype;
  double pT2         = pT2begDip;
  double xMaxAbs     = beam.xMax(iSysNow);
  double zMinAbs     = xDaughter / xMaxAbs;
  if (xMaxAbs < 0.) {
    infoPtr->errorMsg("Warning in SpaceShower::pT2nextQCD: "
    "xMaxAbs negative");
    return;
  }

  // Starting values for handling of massive quarks (c/b), if any.
  double idMassive   = 0;
  if ( abs(idDaughter) == 4 ) idMassive = 4;
  if ( abs(idDaughter) == 5 ) idMassive = 5;
  bool   isMassive   = (idMassive > 0);
  double m2Massive   = 0.;
  double mRatio      = 0.;
  double zMaxMassive = 1.;
  double m2Threshold = pT2;

  // Evolution below scale of massive quark or at large x is impossible.
  if (isMassive) {
    m2Massive = (idMassive == 4) ? m2c : m2b;
    if (pT2 < HEAVYPT2EVOL * m2Massive) return;
    mRatio = sqrt( m2Massive / m2Dip );
    zMaxMassive = (1. -  mRatio) / ( 1. +  mRatio * (1. -  mRatio) );
    if (xDaughter > HEAVYXEVOL * zMaxMassive * xMaxAbs) return;
  
    // Find threshold scale below which only g -> Q + Qbar will be allowed.
    m2Threshold = (idMassive == 4) ? min( pT2, CTHRESHOLD * m2c)
      : min( pT2, BTHRESHOLD * m2b);
  }
  
  // Variables used inside evolution loop. (Mainly dummy starting values.)
  int    nFlavour       = 3;
  double b0             = 4.5;
  double Lambda2        = Lambda3flav2;
  double pT2minNow      = pT2endDip;
  int    idMother       = 0;
  int    idSister       = 0;
  double z              = 0.;
  double zMaxAbs        = 0.;
  double zRootMax       = 0.;
  double zRootMin       = 0.;
  double g2gInt         = 0.;
  double q2gInt         = 0.;
  double q2qInt         = 0.;
  double g2qInt         = 0.;
  double g2Qenhance     = 0.;
  double xPDFdaughter   = 0.;
  double xPDFmother[21] = {0.};
  double xPDFgMother    = 0.;
  double xPDFmotherSum  = 0.;
  double kernelPDF      = 0.;
  double xMother        = 0.;
  double wt             = 0.;
  double Q2             = 0.;
  double mSister        = 0.;
  double m2Sister       = 0.;
  double pT2corr        = 0.;
  double pT2PDF         = pT2;
  bool   needNewPDF     = true;

  // Begin evolution loop towards smaller pT values.
  int    loopTinyPDFdau = 0;
  bool   hasTinyPDFdau  = false;
  do {
    wt = 0.;

    // Bad sign if repeated looping with small daughter PDF, so fail.
    // (Example: if all PDF's = 0 below Q_0, except for c/b companion.)
    if (hasTinyPDFdau) ++loopTinyPDFdau;
    if (loopTinyPDFdau > MAXLOOPTINYPDF) {
      infoPtr->errorMsg("Warning in SpaceShower::pT2nextQCD: "
      "small daughter PDF");
      return;
    }

    // Initialize integrals of splitting kernels and evaluate parton
    // densities at the beginning. Reinitialize after long evolution
    // in pT2 or when crossing c and b flavour thresholds.
    if (needNewPDF || pT2 < EVALPDFSTEP * pT2PDF) {
      pT2PDF        = pT2;
      hasTinyPDFdau = false;

      // Determine overestimated z range; switch at c and b masses.
      if (pT2 > m2b) {
        nFlavour  = 5;
        pT2minNow = max( m2b, pT2endDip);
        b0        = 23./6.;
        Lambda2   = Lambda5flav2;
      } else if (pT2 > m2c) {
        nFlavour  = 4;
        pT2minNow = max( m2c, pT2endDip);
        b0        = 25./6.;
        Lambda2   = Lambda4flav2;
      } else {
        nFlavour  = 3;
        pT2minNow = pT2endDip;
        b0        = 27./6.;
        Lambda2   = Lambda3flav2;
      }
      // A change of renormalization scale expressed by a change of Lambda.
      Lambda2    /= renormMultFac;
      zMaxAbs     = 1. - 0.5 * (pT2minNow / m2Dip) *
        ( sqrt( 1. + 4. * m2Dip / pT2minNow ) - 1. );
      if (isMassive) zMaxAbs = min( zMaxAbs, zMaxMassive);

      // Go to another z range with lower mass scale if current is closed.
      if (zMinAbs > zMaxAbs) {
        if (nFlavour == 3 || (idMassive == 4 && nFlavour == 4)
          || idMassive == 5) return;
        pT2 = (nFlavour == 4) ? m2c : m2b;
        continue;
      }

      // Parton density of daughter at current scale.
      pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
      xPDFdaughter = beam.xfISR(iSysNow, idDaughter, xDaughter, pdfScale2);
      if (xPDFdaughter < TINYPDF) {
        xPDFdaughter  = TINYPDF;
        hasTinyPDFdau = true;
      }

      // Integrals of splitting kernels for gluons: g -> g, q -> g.
      if (isGluon) {
        g2gInt = HEADROOMG2G * 6. 
          * log(zMaxAbs * (1.-zMinAbs) / (zMinAbs * (1.-zMaxAbs)));
        if (doMEcorrections) g2gInt *= calcMEmax(MEtype, 21, 21);
        q2gInt = HEADROOMQ2G * (16./3.) 
          * (1./sqrt(zMinAbs) - 1./sqrt(zMaxAbs));
        if (doMEcorrections) q2gInt *= calcMEmax(MEtype, 1, 21);

        // Parton density of potential quark mothers to a g.
        xPDFmotherSum = 0.;
        for (int i = -nQuarkIn; i <= nQuarkIn; ++i) {
          if (i == 0) {
            xPDFmother[10] = 0.;
          } else {
            xPDFmother[i+10] = beam.xfISR(iSysNow, i, xDaughter, pdfScale2);
            xPDFmotherSum += xPDFmother[i+10];
          }
        }

        // Total QCD evolution coefficient for a gluon.
        kernelPDF = g2gInt + q2gInt * xPDFmotherSum / xPDFdaughter;

      // For valence quark only need consider q -> q g branchings.
      // Introduce an extra factor sqrt(z) to smooth bumps.
      } else if (isValence) {
        zRootMin = (1. + sqrt(zMinAbs)) / (1. - sqrt(zMinAbs));
        zRootMax = (1. + sqrt(zMaxAbs)) / (1. - sqrt(zMaxAbs));
        q2qInt = (8./3.) * log( zRootMax / zRootMin );
        if (doMEcorrections) q2qInt *= calcMEmax(MEtype, 1, 1);
        kernelPDF = q2qInt;

      // Integrals of splitting kernels for quarks: q -> q, g -> q.
      } else {
        q2qInt = HEADROOMQ2Q * (8./3.) 
          * log( (1. - zMinAbs) / (1. - zMaxAbs) );
        if (doMEcorrections) q2qInt *= calcMEmax(MEtype, 1, 1);
        g2qInt = HEADROOMG2Q * 0.5 * (zMaxAbs - zMinAbs);
        if (doMEcorrections) g2qInt *= calcMEmax(MEtype, 21, 1);

        // Increase estimated upper weight for g -> Q + Qbar.
        if (isMassive) {
          if (alphaSorder == 0) g2Qenhance = log(pT2/m2Massive)
            / log(m2Threshold/m2Massive);
          else {
            double m2log = log( m2Massive / Lambda2);
            g2Qenhance = log( log(pT2/Lambda2) / m2log )
              / log( log(m2Threshold/Lambda2) / m2log );
          }
          g2qInt *= g2Qenhance;
        }

        // Parton density of a potential gluon mother to a q.
        xPDFgMother = beam.xfISR(iSysNow, 21, xDaughter, pdfScale2);

        // Total QCD evolution coefficient for a quark.
        kernelPDF = q2qInt + g2qInt * xPDFgMother / xPDFdaughter;
      }

      // End evaluation of splitting kernels and parton densities.
      needNewPDF = false;
    }
    if (kernelPDF < TINYKERNELPDF) return;

    // Pick pT2 (in overestimated z range), for one of three different cases.
    // Assume form alphas(pT0^2 + pT^2) * dpT^2/(pT0^2 + pT^2).
    double Q2alphaS;

    // Fixed alpha_strong.
    if (alphaSorder == 0) {
      pT2 = (pT2 + pT20) * pow( rndmPtr->flat(),
        1. / (alphaS2pi * kernelPDF)) - pT20;

    // First-order alpha_strong.
    } else if (alphaSorder == 1) {
      pT2 = Lambda2 * pow( (pT2 + pT20) / Lambda2,
        pow(rndmPtr->flat(), b0 / kernelPDF) ) - pT20;

    // For second order reject by second term in alpha_strong expression.
    } else {
      do {
        pT2 = Lambda2 * pow( (pT2 + pT20) / Lambda2,
          pow(rndmPtr->flat(), b0 / kernelPDF) ) - pT20;
        Q2alphaS = renormMultFac * max( pT2 + pT20,
          pow2(LAMBDA3MARGIN) * Lambda3flav2);
      } while (alphaS.alphaS2OrdCorr(Q2alphaS) < rndmPtr->flat()
        && pT2 > pT2minNow);
    }

    // Check for pT2 values that prompt special action.

    // If fallen into b threshold region, force g -> b + bbar.
    if (idMassive == 5 && pT2 < m2Threshold) {
      pT2nearQCDthreshold( beam, m2Massive, m2Threshold, xMaxAbs,
        zMinAbs, zMaxMassive );
      return;

    // If crossed b threshold, continue evolution from this threshold.
    } else if (nFlavour == 5 && pT2 < m2b) {
      needNewPDF = true;
      pT2 = m2b;
      continue;

    // If fallen into c threshold region, force g -> c + cbar.
    } else if (idMassive == 4 && pT2 < m2Threshold) {
      pT2nearQCDthreshold( beam, m2Massive, m2Threshold, xMaxAbs,
        zMinAbs, zMaxMassive );
      return;

    // If crossed c threshold, continue evolution from this threshold.
    } else if (nFlavour == 4 && pT2 < m2c) {
      needNewPDF = true;
      pT2 = m2c;
      continue;

    // Abort evolution if below cutoff scale, or below another branching.
    } else if (pT2 < pT2endDip) return;

    // Select z value of branching to g, and corrective weight.
    if (isGluon) {
      // g -> g (+ g).
      if (rndmPtr->flat() * kernelPDF < g2gInt) {
        idMother = 21;
        idSister = 21;
        z = 1. / ( 1. + ((1. - zMinAbs) / zMinAbs) * pow( (zMinAbs *
          (1. - zMaxAbs)) / (zMaxAbs * (1. - zMinAbs)), rndmPtr->flat() ) );
        wt = pow2( 1. - z * (1. - z));
        // Account for headroom factor used to enhance trial probability
        wt /= HEADROOMG2G;
      } else {
      // q -> g (+ q): also select flavour.
        double temp = xPDFmotherSum * rndmPtr->flat();
        idMother = -nQuarkIn - 1;
        do { temp -= xPDFmother[(++idMother) + 10]; }
        while (temp > 0. && idMother < nQuarkIn);
        idSister = idMother;
        z = (zMinAbs * zMaxAbs) / pow2( sqrt(zMinAbs) + rndmPtr->flat()
          * ( sqrt(zMaxAbs)- sqrt(zMinAbs) ));
        wt = 0.5 * (1. + pow2(1. - z)) * sqrt(z)
          * xPDFdaughter / xPDFmother[idMother + 10];
        // Account for headroom factor used to enhance trial probability
        wt /= HEADROOMQ2G;
      }

    // Select z value of branching to q, and corrective weight.
    // Include massive kernel corrections for c and b quarks.
    } else {
      // q -> q (+ g).
      if (isValence || rndmPtr->flat() * kernelPDF < q2qInt) {
        idMother = idDaughter;
        idSister = 21;
        // Valence more peaked at large z.
        if (isValence) {
          double zTmp = zRootMin * pow(zRootMax / zRootMin, rndmPtr->flat() );
          z = pow2( (1. - zTmp) / (1. + zTmp) );
        } else {
          z = 1. - (1. - zMinAbs) * pow( (1. - zMaxAbs) / (1. - zMinAbs),
            rndmPtr->flat() );
        }
        if (!isMassive) {
          wt = 0.5 * (1. + pow2(z));
        } else {
        //?? Bug?? should be 2 more for massive part??
        //  wt = 0.5 * (1. + pow2(z) - z * pow2(1.-z) * m2Massive / pT2);
          wt = 0.5 * (1. + pow2(z)) - z * pow2(1.-z) * m2Massive / pT2;
        }
        if (isValence) wt *= sqrt(z);
        // Account for headroom factor for sea quarks
        else wt /= HEADROOMQ2Q;
      // g -> q (+ qbar).
      } else {
        idMother = 21;
        idSister = - idDaughter;
        z = zMinAbs + rndmPtr->flat() * (zMaxAbs - zMinAbs);
        if (!isMassive) {
          wt = (pow2(z) + pow2(1.-z)) * xPDFdaughter / xPDFgMother;
        } else {
          wt = (pow2(z) + pow2(1.-z) + 2. * z * (1.-z) * m2Massive / pT2)
            * xPDFdaughter / (xPDFgMother * g2Qenhance) ;
        }
        // Account for headroom factor for gluons
        wt /= HEADROOMG2Q;
      }
    }

    // Derive Q2 and x of mother from pT2 and z.
    Q2      = pT2 / (1. - z);
    xMother = xDaughter / z;
    // Correction to x for massive recoiler from rescattering.
    if (!dipEndNow->normalRecoil) {
      if (sideA) xMother += (m2Rec / (x2Now * sCM)) * (1. / z - 1.);
      else       xMother += (m2Rec / (x1Now * sCM)) * (1. / z - 1.);
    }
    if (xMother > xMaxAbs) { wt = 0.; continue; }

    // Forbidden emission if outside allowed z range for given pT2.
    mSister = particleDataPtr->m0(idSister);
    m2Sister = pow2(mSister);
    pT2corr = Q2 - z * (m2Dip + Q2) * (Q2 + m2Sister) / m2Dip;
    if (pT2corr < TINYPT2) { wt = 0.; continue; }

    // Optionally veto emissions not ordered in rapidity (= angle).
    if ( doRapidityOrder && dipEndNow->nBranch > 0
      && pT2 > pow2( (1. - z) / (z * (1. - dipEndNow->zOld)) )
      * dipEndNow->pT2Old ) { wt = 0.; continue; }

    // If creating heavy quark by Q -> g + Q then next need g -> Q + Qbar.
    // So minimum total mass2 is 4 * m2Sister, but use more to be safe.
    if ( isGluon && ( abs(idMother) == 4 || abs(idMother) == 5 )) {
      double m2QQsister =  EXTRASPACEQ * 4. * m2Sister;
      double pT2QQcorr = Q2 - z * (m2Dip + Q2) * (Q2 + m2QQsister) / m2Dip;
      if (pT2QQcorr < TINYPT2) { wt = 0.; continue; }
    }

    // Evaluation of ME correction.
    if (doMEcorrections) wt *= calcMEcorr(MEtype, idMother, idDaughter,
      m2Dip, z, Q2, m2Sister) / calcMEmax(MEtype, idMother, idDaughter);

    // Optional dampening of large pT values in first radiation.
    if (dopTdamp && iSysNow == 0 && MEtype == 0 && nRad == 0)
      wt *= pT2damp / (pT2 + pT2damp);

    // Idea suggested by Gosta Gustafson: increased screening in events
    // with large activity can be simulated by pT0_eff = sqrt(n) * pT0.
    if (enhanceScreening == 2) {
      int nSysNow     = infoPtr->nMPI() + infoPtr->nISR() + 1;
      double WTscreen = pow2( (pT2 + pT20) / (pT2 + nSysNow * pT20) );
      wt             *= WTscreen;
    }

    // Evaluation of new daughter and mother PDF's.
    pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
    double xPDFdaughterNew = max ( TINYPDF,
      beam.xfISR(iSysNow, idDaughter, xDaughter, pdfScale2) );
    double xPDFmotherNew =
      beam.xfISR(iSysNow, idMother, xMother, pdfScale2);
    wt *= xPDFmotherNew / xPDFdaughterNew;

    // Check that valence step does not cause problem.
    if (wt > 1. && pT2 > PT2MINWARN) infoPtr->errorMsg("Warning in "
      "SpaceShower::pT2nextQCD: weight above unity");

  // Iterate until acceptable pT (or have fallen below pTmin).
  } while (wt < rndmPtr->flat()) ;

  // Save values for (so far) acceptable branching.
  dipEndNow->store( idDaughter,idMother, idSister, x1Now, x2Now, m2Dip,
    pT2, z, xMother, Q2, mSister, m2Sister, pT2corr);

}

//--------------------------------------------------------------------------

// Evolve a QCD dipole end near threshold, with g -> Q + Qbar enforced.
// Note: No explicit Sudakov factor formalism here. Instead use that
// df_Q(x, pT2) = (alpha_s/2pi) * (dT2/pT2) * ((gluon) * (splitting)).
// This implies that effects of Q -> Q + g are neglected in this range.

void SpaceShower::pT2nearQCDthreshold( BeamParticle& beam,
  double m2Massive, double m2Threshold, double xMaxAbs,
  double zMinAbs, double zMaxMassive) {

  // Initial values, to be used in kinematics and weighting.
  double Lambda2       = (abs(idDaughter) == 4) ? Lambda4flav2 : Lambda5flav2;
  Lambda2             /= renormMultFac;
  double logM2Lambda2  = (alphaSorder > 0) ? log( m2Massive / Lambda2 ) : 1.;
  pdfScale2 = (useFixedFacScale) ? fixedFacScale2
    : factorMultFac * m2Threshold;
  double xPDFmotherOld = beam.xfISR(iSysNow, 21, xDaughter, pdfScale2);

  // Variables used inside evolution loop. (Mainly dummy start values.)
  int    loop    = 0;
  double wt      = 0.;
  double pT2     = 0.;
  double z       = 0.;
  double Q2      = 0.;
  double pT2corr = 0.;
  double xMother = 0.;

  // Begin loop over tries to find acceptable g -> Q + Qbar branching.
  do {
    wt = 0.;

    // Check that not caught in infinite loop with impossible kinematics.
    if (++loop > 100) {
      infoPtr->errorMsg("Error in SpaceShower::pT2nearQCDthreshold: "
        "stuck in loop");
      return;
    }

    // Pick dpT2/pT2 in range [m2Massive,thresholdRatio * m2Massive].
    pT2 = m2Massive * pow( m2Threshold / m2Massive, rndmPtr->flat() );

    // Pick z flat in allowed range.
    z = zMinAbs + rndmPtr->flat() * (zMaxMassive - zMinAbs);

    // Check that kinematically possible choice.
    Q2 = pT2 / (1.-z) - m2Massive;
    pT2corr = Q2 - z * (m2Dip + Q2) * (Q2 + m2Massive) / m2Dip;
    if (pT2corr < TINYPT2) continue;
    
    // Correction factor for running alpha_s. (Only first order for now.)
    wt = (alphaSorder > 0) ? logM2Lambda2 / log( pT2 / Lambda2 ) : 1.;

    // Correction factor for splitting kernel.
    wt *= pow2(z) + pow2(1.-z) + 2. * z * (1.-z) * m2Massive / pT2;

    // x, including correction for massive recoiler from rescattering.
    xMother = xDaughter / z;
    if (!dipEndNow->normalRecoil) {
      if (sideA) xMother += (m2Rec / (x2Now * sCM)) * (1. / z - 1.);
      else       xMother += (m2Rec / (x1Now * sCM)) * (1. / z - 1.);
    }
    if (xMother > xMaxAbs) { wt = 0.; continue; }

    // Correction factor for gluon density.
    pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
    double xPDFmotherNew = beam.xfISR(iSysNow, 21, xMother, pdfScale2);
    wt *= xPDFmotherNew / xPDFmotherOld;

  // Iterate until acceptable pT and z.
  } while (wt < rndmPtr->flat()) ;

  // Save values for (so far) acceptable branching.
  double mSister = (abs(idDaughter) == 4) ? mc : mb;
  dipEndNow->store( idDaughter, 21, -idDaughter, x1Now, x2Now, m2Dip,
    pT2, z, xMother, Q2, mSister, pow2(mSister), pT2corr);

}

//--------------------------------------------------------------------------

// Evolve a QED dipole end.

void SpaceShower::pT2nextQED( double pT2begDip, double pT2endDip) {

  // Type of dipole and starting values.
  BeamParticle& beam  = (sideA) ? *beamAPtr : *beamBPtr;
  bool   isLeptonBeam = beam.isLepton();
  int    MEtype       = dipEndNow->MEtype;
  bool   isPhoton     = (idDaughter == 22);
  double pT2          = pT2begDip;
  double m2Lepton     = (isLeptonBeam) ? pow2(beam.m()) : 0.;
  if (isLeptonBeam && pT2begDip < m2Lepton) return;

  // Currently no f -> gamma branching implemented for lepton beams
  if (isPhoton && isLeptonBeam) return;

  // alpha_em at maximum scale provides upper estimate.
  double alphaEMmax  = alphaEM.alphaEM(renormMultFac * pT2begDip);
  double alphaEM2pi  = alphaEMmax / (2. * M_PI);

  // Maximum x of mother implies minimum z = xDaughter / xMother.
  double xMaxAbs  = (isLeptonBeam) ? LEPTONXMAX : beam.xMax(iSysNow);
  double zMinAbs  = xDaughter / xMaxAbs;
  if (xMaxAbs < 0.) {
    infoPtr->errorMsg("Warning in SpaceShower::pT2nextQED: "
    "xMaxAbs negative");
    return;
  }

  // Maximum z from minimum pT and, for lepton, from minimum x_gamma.
  double zMaxAbs = 1. - 0.5 * (pT2endDip / m2Dip) *
    ( sqrt( 1. + 4. * m2Dip / pT2endDip ) - 1. );
  if (isLeptonBeam) {
    double zMaxLepton = xDaughter / (xDaughter + LEPTONXMIN);
    if (zMaxLepton < zMaxAbs) zMaxAbs = zMaxLepton;
  }
  if (zMaxAbs < zMinAbs) return;

  // Variables used inside evolution loop. (Mainly dummy start values.)
  int    idMother = 0;
  int    idSister = 22;
  double z        = 0.;
  double xMother  = 0.;
  double wt       = 0.;
  double Q2       = 0.;
  double mSister  = 0.;
  double m2Sister = 0.;
  double pT2corr  = 0.;
  
  // QED evolution of fermions
  if (!isPhoton) {

    // Integrals of splitting kernels for fermions: f -> f. Use 1 + z^2 < 2.
    // Ansatz f(z) = 2 / (1 - z), with + 2 / (z - xDaughter) for lepton.
    double f2fInt  = 0.;
    double f2fIntA = 2. * log( (1. - zMinAbs) / (1. - zMaxAbs) );
    double f2fIntB = 0.;
    if (isLeptonBeam) {
      f2fIntB      = 2. * log( (zMaxAbs - xDaughter) / (zMinAbs - xDaughter) );
      f2fInt       = f2fIntA + f2fIntB;
    } else f2fInt  = pow2(dipEndNow->chgType / 3.) * f2fIntA;
    
    // Upper estimate for evolution equation, including fudge factor.
    if (doMEcorrections) f2fInt *= calcMEmax(MEtype, 1, 1);
    double kernelPDF = alphaEM2pi * f2fInt;
    double fudge = (isLeptonBeam) ? LEPTONFUDGE * log(m2Dip/m2Lepton) : 1.;
    kernelPDF *= fudge;
    if (kernelPDF < TINYKERNELPDF) return;
    
    // Begin evolution loop towards smaller pT values.
    do {
      
      // Pick pT2 (in overestimated z range).
      // For l -> l gamma include extrafactor 1 / ln(pT2 / m2l) in evolution.
      double shift = pow(rndmPtr->flat(), 1. / kernelPDF);
      if (isLeptonBeam) pT2 = m2Lepton * pow( pT2 / m2Lepton, shift);
      else              pT2 = pT2 * shift;
      
      // Abort evolution if below cutoff scale, or below another branching.
      if (pT2 < pT2endDip) return;
      if (isLeptonBeam && pT2 < LEPTONPT2MIN * m2Lepton) return;
      
      // Select z value of branching f -> f + gamma, and corrective weight.
      idMother = idDaughter;
      wt = 1.;
      if (isLeptonBeam) {
        if (f2fIntA > rndmPtr->flat() * (f2fIntA + f2fIntB)) {
          z = 1. - (1. - zMinAbs)
            * pow( (1. - zMaxAbs) / (1. - zMinAbs), rndmPtr->flat() );
        } else {
          z = xDaughter + (zMinAbs - xDaughter)
            * pow( (zMaxAbs - xDaughter) / (zMinAbs - xDaughter),
                  rndmPtr->flat() );
        }
        wt *= (z - xDaughter) / (1. - xDaughter);
      } else {
        z = 1. - (1. - zMinAbs)
          * pow( (1. - zMaxAbs) / (1. - zMinAbs), rndmPtr->flat() );
      }
      wt *= 0.5 * (1. + pow2(z));
      
      // Derive Q2 and x of mother from pT2 and z.
      Q2      = pT2 / (1. - z);
      xMother = xDaughter / z;
      // Correction to x for massive recoiler from rescattering.
      if (!dipEndNow->normalRecoil) {
        if (sideA) xMother += (m2Rec / (x2Now * sCM)) * (1. / z - 1.);
        else       xMother += (m2Rec / (x1Now * sCM)) * (1. / z - 1.);
      }
      if (xMother > xMaxAbs) { wt = 0.; continue; }
      
      // Forbidden emission if outside allowed z range for given pT2.
      mSister  = 0.;
      m2Sister = 0.;
      pT2corr  = Q2 - z * (m2Dip + Q2) * (Q2 + m2Sister) / m2Dip;
      if (pT2corr < TINYPT2) { wt = 0.; continue; }
      
      // Correct by ln(pT2 / m2l) and fudge factor.
      if (isLeptonBeam) wt *= log(pT2 / m2Lepton) / fudge;
      
      // Evaluation of ME correction.
      if (doMEcorrections) wt *= calcMEcorr(MEtype, idMother, idDaughter,
         m2Dip, z, Q2, m2Sister) / calcMEmax(MEtype, idMother, idDaughter);

      // Extra QED correction for f fbar -> W+- gamma. Debug??
      if (doMEcorrections && MEtype == 1 && idDaughter == idMother
        && ( (iSysNow == 0 && idResFirst  == 24)
          || (iSysNow == 1 && idResSecond == 24) ) ) {
        double tHe  = -Q2;
        double uHe  = Q2 - m2Dip * (1. - z) / z;
        double chg1 = abs(dipEndNow->chgType / 3.);
        double chg2 = 1. - chg1;
        wt *= pow2(chg1 * uHe - chg2 * tHe)
          / ( (tHe + uHe) * (pow2(chg1) * uHe + pow2(chg2) * tHe) );
      }

      // Optional dampening of large pT values in first radiation.
      if (dopTdamp && iSysNow == 0 && MEtype == 0 && nRad == 0)
        wt *= pT2damp / (pT2 + pT2damp);

      // Correct to current value of alpha_EM.
      double alphaEMnow = alphaEM.alphaEM(renormMultFac * pT2);
      wt *= (alphaEMnow / alphaEMmax);
      
      // Evaluation of new daughter and mother PDF's.
      pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
      double xPDFdaughterNew = max ( TINYPDF,
        beam.xfISR(iSysNow, idDaughter, xDaughter, pdfScale2) );
      double xPDFmotherNew   =
        beam.xfISR(iSysNow, idMother, xMother, pdfScale2);
      wt *= xPDFmotherNew / xPDFdaughterNew;

    // Iterate until acceptable pT (or have fallen below pTmin).
    } while (wt < rndmPtr->flat()) ;
  }

  // QED evolution of photons (so far only for hadron beams).
  else {
    
    // Initial values
    int    nFlavour       = 3;
    double kernelPDF      = 0.0;
    double xPDFdaughter   = 0.;
    double xPDFmother[21] = {0.};
    double xPDFmotherSum  = 0.0;
    double pT2PDF         = pT2;
    double pT2minNow      = pT2endDip;
    bool   needNewPDF     = true;

    // Begin evolution loop towards smaller pT values.
    int    loopTinyPDFdau = 0;
    bool   hasTinyPDFdau  = false;
    do {
      wt = 0.;
      
      // Bad sign if repeated looping with small daughter PDF, so fail.
      if (hasTinyPDFdau) ++loopTinyPDFdau;
      if (loopTinyPDFdau > MAXLOOPTINYPDF) {
        infoPtr->errorMsg("Warning in SpaceShower::pT2nextQED: "
                          "small daughter PDF");
        return;
      }

      // Initialize integrals of splitting kernels and evaluate parton
      // densities at the beginning. Reinitialize after long evolution
      // in pT2 or when crossing c and b flavour thresholds.
      if (needNewPDF || pT2 < EVALPDFSTEP * pT2PDF) {

        pT2PDF        = pT2;
        hasTinyPDFdau = false;

        // Determine overestimated z range; switch at c and b masses.
        if (pT2 > m2b && nQuarkIn >= 5) {
          nFlavour  = 5;
          pT2minNow = max( m2b, pT2endDip);
        } else if (pT2 > m2c && nQuarkIn >= 4) {
          nFlavour  = 4;
          pT2minNow = max( m2c, pT2endDip);
        } else {
          nFlavour  = 3;
          pT2minNow = pT2endDip;
        }
        
        // Compute upper z limit
        zMaxAbs = 1. - 0.5 * (pT2minNow / m2Dip) *
          ( sqrt( 1. + 4. * m2Dip / pT2minNow ) - 1. );

        // Parton density of daughter at current scale.
        pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
        xPDFdaughter = beam.xfISR(iSysNow, idDaughter, xDaughter, pdfScale2);
        if (xPDFdaughter < TINYPDF) {
          xPDFdaughter  = TINYPDF;
          hasTinyPDFdau = true;
        }
        
        // Integral over f -> gamma f splitting kernel.
        // Normalized so: 4/3 aS/2pi P(z) -> eq^2 * aEM/2pi P(z).
        // (Charge-weighting happens below.)
        double q2gInt = 4. * (1./sqrt(zMinAbs) - 1./sqrt(zMaxAbs));
        
        // Charge-weighted Parton density of potential quark mothers.
        xPDFmotherSum = 0.;
        for (int i = -nFlavour; i <= nFlavour; ++i) {
          if (i == 0) {
            xPDFmother[10] = 0.;
          } else {
            xPDFmother[i+10] = pow2((abs(i+1) % 2 + 1)/3.0)
              * beam.xfISR(iSysNow, i, xDaughter, pdfScale2);
            xPDFmotherSum += xPDFmother[i+10];
          }
        }
        
        // Total QED evolution coefficient for a photon.
        kernelPDF = q2gInt * xPDFmotherSum / xPDFdaughter;
        
        // End evaluation of splitting kernels and parton densities.
        needNewPDF = false;
      }
      if (kernelPDF < TINYKERNELPDF) return;
      
      // Select pT2 for next trial branching
      pT2 *= pow( rndmPtr->flat(), 1. / (alphaEM2pi * kernelPDF));

      // If crossed b threshold, continue evolution from this threshold.
      if (nFlavour == 5 && pT2 < m2b) {
        needNewPDF = true;
        pT2 = m2b;
        continue;
      }

      // If crossed c threshold, continue evolution from this threshold.
      else if (nFlavour == 4 && pT2 < m2c) {
        needNewPDF = true;
        pT2 = m2c;
        continue;
      }

      // Abort evolution if below cutoff scale, or below another branching.
      else if (pT2 < pT2endDip) return;

      // Select flavour for trial branching
      double temp = xPDFmotherSum * rndmPtr->flat();
      idMother = -nQuarkIn - 1;
      do {
        temp -= xPDFmother[(++idMother) + 10];
      } while (temp > 0. && idMother < nQuarkIn);

      // Sister is same as mother, but can have m2 > 0
      idSister = idMother;
      mSister = particleDataPtr->m0(idSister);
      m2Sister = pow2(mSister);
      
      // Select z for trial branching
      z = (zMinAbs * zMaxAbs) / pow2( sqrt(zMinAbs) + rndmPtr->flat()
                                      * ( sqrt(zMaxAbs)- sqrt(zMinAbs) ));
      
      // Trial weight: splitting kernel
      wt = 0.5 * (1. + pow2(1. - z)) * sqrt(z);
      
      // Trial weight: running alpha_EM
      double alphaEMnow = alphaEM.alphaEM(renormMultFac * pT2);
      wt *= (alphaEMnow / alphaEMmax);
      
      // Derive Q2 and x of mother from pT2 and z
      Q2      = pT2 / (1. - z);
      xMother = xDaughter / z;
      // Correction to x for massive recoiler from rescattering.
      if (!dipEndNow->normalRecoil) {
        if (sideA) xMother += (m2Rec / (x2Now * sCM)) * (1. / z - 1.);
        else       xMother += (m2Rec / (x1Now * sCM)) * (1. / z - 1.);
      }
      
      // Compute pT2corr
      pT2corr  = Q2 - z * (m2Dip + Q2) * (Q2 + m2Sister) / m2Dip;
      if (pT2corr < TINYPT2) { wt = 0.; continue; }
      
      // If creating heavy quark by Q -> gamma + Q then next g -> Q + Qbar.
      // So minimum total mass2 is 4 * m2Sister, but use more to be safe.
      if ( abs(idMother) == 4 || abs(idMother) == 5 ) {
        double m2QQsister =  EXTRASPACEQ * 4. * m2Sister;
        double pT2QQcorr = Q2 - z * (m2Dip + Q2) * (Q2 + m2QQsister) / m2Dip;
        if (pT2QQcorr < TINYPT2) { wt = 0.; continue; }
      }
      
      // Optional dampening of large pT values in first radiation.
      if (dopTdamp && iSysNow == 0 && MEtype == 0 && nRad == 0)
        wt *= pT2damp / (pT2 + pT2damp);

      // Evaluation of new daughter PDF
      pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
      double xPDFdaughterNew = beam.xfISR(iSysNow, idDaughter, xDaughter,
        pdfScale2);
      if (xPDFdaughterNew < TINYPDF) {
        xPDFdaughterNew = TINYPDF;
      }

      // Evaluation of new charge-weighted mother PDF
      double xPDFmotherNew = pow2( (abs(idMother+1) % 2 + 1)/3.0 )
        * beam.xfISR(iSysNow, idMother, xMother, pdfScale2);
      
      // Trial weight: divide out old pdf ratio
      wt *= xPDFdaughter / xPDFmother[idMother + 10];
      
      // Trial weight: new pdf ratio
      wt *= xPDFmotherNew / xPDFdaughterNew;

    // Iterate until acceptable pT (or have fallen below pTmin).
    } while (wt < rndmPtr->flat()) ;
  }

  // Save values for (so far) acceptable branching.
  dipEndNow->store( idDaughter, idMother, idSister, x1Now, x2Now, m2Dip,
    pT2, z, xMother, Q2, mSister, m2Sister, pT2corr);

}

//--------------------------------------------------------------------------

void SpaceShower::pT2nextWeak( double pT2begDip, double pT2endDip) {

  // Type of dipole and starting values.
  BeamParticle& beam  = (sideA) ? *beamAPtr : *beamBPtr;
  bool   isLeptonBeam = beam.isLepton();
  bool   isValence    = beam[iSysNow].isValence();
  int    MEtype       = dipEndNow->MEtype;
  double pT2          = pT2begDip;
  double m2Lepton = (isLeptonBeam) ? pow2(beam.m()) : 0.;
  if (isLeptonBeam && pT2begDip < m2Lepton) return;

  // alpha_em at maximum scale provides upper estimate.
  double alphaEMmax  = alphaEM.alphaEM(pT2begDip);
  double alphaEM2pi  = alphaEMmax / (2. * M_PI);
  
  // Maximum x of mother implies minimum z = xDaughter / xMother.
  double xMaxAbs  = (isLeptonBeam) ? LEPTONXMAX : beam.xMax(iSysNow);
  double zMinAbs  = xDaughter / xMaxAbs;
  if (xMaxAbs < 0.) {
    infoPtr->errorMsg("Warning in SpaceShower::pT2nextWeak: "
    "xMaxAbs negative");
    return;
  }
  
  // Maximum z from minimum pT and, for lepton, from minimum x_gamma.
  double zMaxAbs = 1. - 0.5 * (pT2endDip / m2Dip) *
    ( sqrt( 1. + 4. * m2Dip / pT2endDip ) - 1. );
  if (isLeptonBeam) {
    double zMaxLepton = xDaughter / (xDaughter + LEPTONXMIN);
    if (zMaxLepton < zMaxAbs) zMaxAbs = zMaxLepton;
  }
  if (zMaxAbs < zMinAbs) return;
  
  // Variables used inside evolution loop. (Mainly dummy start values.)
  int    idMother = 0;
  int    idSister = 0;
  // Check whether emission of W+, W- or Z0.
  if (dipEndNow->weakType == 1) {
    idSister = (idDaughter > 0) ? -24 : 24;
    if (abs(idDaughter) % 2 == 1) idSister = -idSister;
  } else if (dipEndNow->weakType == 2) idSister = 23;
  double z        = 0.;
  double xMother  = 0.;
  double wt       = 0.;
  double Q2       = 0.;
  double mSister  = particleDataPtr->mSel(idSister);
  double m2Sister = pow2(mSister);
  double pT2corr  = 0.;

  // Find maximum z due to massive sister.
  // Still need to prove that this actually is an overestimate.
  double mRatio   = mSister/ sqrt(m2Dip);
  double m2R1     = 1. + pow2(mRatio);
  double zMaxMassive =  1. / (m2R1 + pT2endDip/m2Dip);
  if (zMaxMassive < zMaxAbs) zMaxAbs = zMaxMassive;
  if (zMaxAbs < zMinAbs) return;

  // Weak evolution of fermions.
  // Integrals of splitting kernels for fermions: f -> f.
  // Old ansatz f(z) = 2 / (1 - z), with + 2 / (z - xDaughter) for lepton.
  // New Ansatz f(z) = (1 + (1+r^2)^2) / (1 - z * (1 + r^2)).
  // This should always be an overestimate for massive emissions.
  // Not yet implemented correctly for lepton beam.
  double f2fInt   = 0.;
  double f2fIntA  = (1. + pow2(zMaxAbs * m2R1)) / m2R1
    * log( (1. - m2R1 * zMinAbs) / (1. - m2R1 * zMaxAbs) );
  double f2fIntB  = 0.;
  double zRootMin = (1. + sqrt(m2R1 * zMinAbs)) / (1. - sqrt(m2R1 * zMinAbs));
  double zRootMax = (1. + sqrt(m2R1 * zMaxAbs)) / (1. - sqrt(m2R1 * zMaxAbs));
  if (isLeptonBeam) {
    f2fIntB      = 2. * log( (zMaxAbs - xDaughter) / (zMinAbs - xDaughter) );
    f2fInt       = f2fIntA + f2fIntB;
  } else if (isValence)
    f2fInt = (1. + pow2(zMaxAbs) * pow2(m2R1))/ sqrt(m2R1)
      * log( zRootMax / zRootMin );
  else
    f2fInt  =  f2fIntA;

  // Calculate the weak coupling: separate for left- and right-handed fermions.
  double weakCoupling = 0;
  if (dipEndNow->weakType == 1)
    weakCoupling = 2. * alphaEM2pi / (4. * coupSMPtr->sin2thetaW());
  else if (dipEndNow->weakType == 2 && dipEndNow->weakPol == -1)
     weakCoupling = alphaEM2pi * thetaWRat
       * pow2(2. * coupSMPtr->lf( abs(idDaughter) ));
  else
     weakCoupling = alphaEM2pi * thetaWRat
       * pow2(2. * coupSMPtr->rf(abs(idDaughter) ));
  
  // Find the possible mothers for a W emission. So far quarks only.
  vector possibleMothers;
  if (abs(idDaughter) % 2 == 0) {
    possibleMothers.push_back(1);
    possibleMothers.push_back(3);
    possibleMothers.push_back(5);
  } else {
    possibleMothers.push_back(2);
    possibleMothers.push_back(4);
  }
  if (idDaughter < 0)
    for (unsigned int i = 0;i < possibleMothers.size();i++)
      possibleMothers[i] = - possibleMothers[i];
  
  // Check if daughter estimate is 0, return in that case.
  // Only write warning if u, d or g is the daughter.
  pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2begDip;
  double xPDFdaughter = beam.xfISR(iSysNow, idDaughter, xDaughter, pdfScale2);
  if (xPDFdaughter < TINYPDF) {
    if (abs(idDaughter) == 1 || abs(idDaughter) == 2 || abs(idDaughter) == 21)
      infoPtr->errorMsg("Warning in SpaceShower::pT2nextWeak: "
                        "very small PDF");
    return;
  }

  // PDF and CKM upper estimate needed for W emission.
  double overEstimatePDFCKM = 0.;
  if (dipEndNow->weakType == 1) {
    for (unsigned int i = 0; i < possibleMothers.size(); i++)
      overEstimatePDFCKM += coupSMPtr->V2CKMid(idDaughter, possibleMothers[i])
        * beam.xfISR(iSysNow, possibleMothers[i], xDaughter, pdfScale2)
        / xPDFdaughter;
  }
  if (dipEndNow->weakType == 2) overEstimatePDFCKM = 1.;

  // Upper estimate for evolution equation, including fudge factor.
  if (doMEcorrections) f2fInt *= calcMEmax(MEtype, 1, 1);
  double kernelPDF = weakCoupling * f2fInt * weakEnhancement;
  
  // PDF and CKM overestimate.
  kernelPDF *= overEstimatePDFCKM;
  double fudge = (isLeptonBeam) ? LEPTONFUDGE * log(m2Dip/m2Lepton) : 1.;
  kernelPDF *= fudge;
  if (kernelPDF < TINYKERNELPDF) return;

  // Begin evolution loop towards smaller pT values.
  do {

    // Pick pT2 (in overestimated z range).
    // For l -> l gamma include extrafactor 1 / ln(pT2 / m2l) in evolution.
    double shift = pow(rndmPtr->flat(), 1. / kernelPDF);
    if (isLeptonBeam) pT2 = m2Lepton * pow( pT2 / m2Lepton, shift);
    else              pT2 = pT2 * shift;

    // Abort evolution if below cutoff scale, or below another branching.
    if (pT2 < pT2endDip) return;
    if (isLeptonBeam && pT2 < LEPTONPT2MIN * m2Lepton) return;

    // Abort evolution if below mass treshold.
    if (pT2 < HEAVYPT2EVOL * pow2(particleDataPtr->m0(idDaughter))) return;

    // Set the id for the mother particle to be equal to the daughter
    // particle. This is correct for Z, and it will later be changed for W.
    idMother = idDaughter;

    // Select z value of branching f -> f + Z/W, and corrective weight.
    wt = 1.0;
    if (isLeptonBeam) {
      if (f2fIntA > rndmPtr->flat() * (f2fIntA + f2fIntB)) {
        z = 1. - (1. - zMinAbs)
          * pow( (1. - zMaxAbs) / (1. - zMinAbs), rndmPtr->flat() );
      } else {
        z = xDaughter + (zMinAbs - xDaughter)
          * pow( (zMaxAbs - xDaughter) / (zMinAbs - xDaughter),
                 rndmPtr->flat() );
      }
      wt *= (z - xDaughter) / (1. - xDaughter);
    } else if (isValence) {
      // Valence more peaked at large z.
      double zTmp = zRootMin * pow(zRootMax / zRootMin, rndmPtr->flat() );
      z = pow2( (1. - zTmp) / (1. + zTmp) ) / m2R1;
      wt *= sqrt(z);
    } else {
      z = (1. - (1. - zMinAbs * m2R1) * pow( (1. - zMaxAbs * m2R1)
        / (1. - zMinAbs * m2R1), rndmPtr->flat() ) ) / m2R1;
    }
    wt *= (1. + pow2(z * m2R1)) / (1. + pow2(zMaxAbs * m2R1));
   
    // Derive Q2 and x of mother from pT2 and z.
    Q2      = pT2 / (1. - z);
    xMother = xDaughter / z;

    // Correction to x for massive recoiler from rescattering.
    if (!dipEndNow->normalRecoil) {
      if (sideA) xMother += (m2Rec / (x2Now * sCM)) * (1. / z - 1.);
      else       xMother += (m2Rec / (x1Now * sCM)) * (1. / z - 1.);
    }
    if (xMother > xMaxAbs) { wt = 0.; continue; }

    // Forbidden emission if outside allowed z range for given pT2.
    pT2corr  = Q2 - z * (m2Dip + Q2) * (Q2 + m2Sister) / m2Dip;
    if (pT2corr < TINYPT2) { wt = 0.; continue; }

    // Correct by ln(pT2 / m2l) and fudge factor.
    if (isLeptonBeam) wt *= log(pT2 / m2Lepton) / fudge;
    
    // Evaluation of ME correction.
    if (doMEcorrections) wt *= calcMEcorr(MEtype, idMother, idDaughter,
      m2Dip, z, Q2, m2Sister) / calcMEmax(MEtype, idMother, idDaughter);
    
    // Optional dampening of large pT values in first radiation.
    // Allow damping also for corrected matrix elements
    if (dopTdamp && iSysNow == 0  && nRad == 0)
      wt *= pT2damp / (pT2 + pT2damp);

    // Correct to current value of alpha_EM.
    double alphaEMnow = alphaEM.alphaEM(pT2);
    wt *= (alphaEMnow / alphaEMmax);
    
    // Evaluation of new daughter and mother PDF's for Z.
    pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
    double xPDFdaughterNew = max ( TINYPDF,
      beam.xfISR(iSysNow, idDaughter, xDaughter, pdfScale2) );
    if (dipEndNow->weakType == 2) {
      double xPDFmotherNew
        = beam.xfISR(iSysNow, idMother, xMother, pdfScale2);
      wt *= xPDFmotherNew / xPDFdaughterNew;
    }
    
    // Evaluation of daughter and mother PDF's for W.
    if (dipEndNow->weakType == 1) {
      double valPDFCKM[3] = {0.};
      double sumPDFCKM    = 0.;
      for (unsigned int i = 0; i < possibleMothers.size(); i++) {
        valPDFCKM[i] = coupSMPtr->V2CKMid(idDaughter,possibleMothers[i])
          * beam.xfISR(iSysNow, possibleMothers[i], xMother, pdfScale2)
          / xPDFdaughterNew;
        sumPDFCKM += valPDFCKM[i];
      }
      wt *= sumPDFCKM / overEstimatePDFCKM;
      
      // Choose id for mother in case of W.
      double pickId    = sumPDFCKM * rndmPtr->flat();
      int iId    = -1;
      int pmSize = possibleMothers.size();
      do    pickId -= valPDFCKM[++iId];
      while (pickId > 0. && iId < pmSize);
      idMother = possibleMothers[iId];
    }

    // Warn if too big weight.
    if (wt > 1.) infoPtr->errorMsg("Warning in SpaceShower::pT2nextWeak: "
      "weight is above unity.");

    // Iterate until acceptable pT (or have fallen below pTmin).
  } while (wt < rndmPtr->flat()) ;
  
  // Save values for (so far) acceptable branching.
  dipEndNow->store( idDaughter, idMother, idSister, x1Now, x2Now, m2Dip,
                    pT2, z, xMother, Q2, mSister, m2Sister, pT2corr);

}

//--------------------------------------------------------------------------

// Kinematics of branching.
// Construct mother -> daughter + sister, with recoiler on other side.

bool SpaceShower::branch( Event& event) {

  // Side on which branching occured.
  int side          = abs(dipEndSel->side);
  double sideSign   = (side == 1) ? 1. : -1.;

  // Read in flavour and colour variables.
  int iDaughter     = partonSystemsPtr->getInA(iSysSel);
  int iRecoiler     = partonSystemsPtr->getInB(iSysSel);
  if (side == 2) swap(iDaughter, iRecoiler);
  int idDaughterNow = dipEndSel->idDaughter;
  int idMother      = dipEndSel->idMother;
  int idSister      = dipEndSel->idSister;
  int idRecoiler    = event[iRecoiler].id();
  int colDaughter   = event[iDaughter].col();
  int acolDaughter  = event[iDaughter].acol();

  // Recoil parton may be rescatterer, requiring special processing.
  bool normalRecoil = dipEndSel->normalRecoil;
  int iRecoilMother = event[iRecoiler].mother1();

  // Read in kinematical variables.
  double x1         = dipEndSel->x1;
  double x2         = dipEndSel->x2;
  double xMo        = dipEndSel->xMo;
  double m2         = dipEndSel->m2Dip;
  double m          = sqrt(m2);
  double pT2        = dipEndSel->pT2;
  double z          = dipEndSel->z;
  double Q2         = dipEndSel->Q2;
  double mSister    = dipEndSel->mSister;
  double m2Sister   = dipEndSel->m2Sister;
  double pT2corr    = dipEndSel->pT2corr;
  double x1New      = (side == 1) ? xMo : x1;
  double x2New      = (side == 2) ? xMo : x2;

  // Read in MEtype:
  int MEtype        = dipEndSel->MEtype;

  // Rescatter: kinematics may fail; use the rescatterFail flag to tell
  //            parton level to try again.
  rescatterFail     = false;

  // Construct kinematics of mother, sister and recoiler in old rest frame.
  // Normally both mother and recoiler are taken massless.
  double eNewRec, pzNewRec, pTbranch, pzMother;
  if (normalRecoil) {
    eNewRec         = 0.5 * (m2 + Q2) / m;
    pzNewRec        = -sideSign * eNewRec;
    pTbranch        = sqrt(pT2corr) * m2 / ( z * (m2 + Q2) );
    pzMother        = sideSign * 0.5 * m * ( (m2 - Q2) / ( z * (m2 + Q2) )
                    + (Q2 + m2Sister) / m2 );
  // More complicated kinematics when recoiler not massless. May fail.
  } else {
    m2Rec           = event[iRecoiler].m2();
    double s1Tmp    = m2 + Q2 - m2Rec;
    double s3Tmp    = m2 / z - m2Rec;
    double r1Tmp    = sqrt(s1Tmp * s1Tmp + 4. * Q2 * m2Rec);
    eNewRec         = 0.5 * (m2 + m2Rec + Q2) / m;
    pzNewRec        = -sideSign * 0.5 * r1Tmp / m;
    double pT2br    = Q2 * s3Tmp * (m2 / z - m2 - Q2)
      - m2Sister * s1Tmp * s3Tmp - m2Rec * pow2(Q2 + m2Sister);
    if (pT2br <= 0.) return false;
    pTbranch        = sqrt(pT2br) / r1Tmp;
    pzMother        = sideSign * (m * s3Tmp
      - eNewRec * (m2 / z - Q2 - m2Rec - m2Sister)) / r1Tmp;
  }
  // Common final kinematics steps for both normal and rescattering.
  double eMother    = sqrt( pow2(pTbranch) + pow2(pzMother) );
  double pzSister   = pzMother + pzNewRec;
  double eSister    = sqrt( pow2(pTbranch) + pow2(pzSister) + m2Sister );
  Vec4 pMother( pTbranch, 0., pzMother, eMother );
  Vec4 pSister( pTbranch, 0., pzSister, eSister );
  Vec4 pNewRec(       0., 0., pzNewRec, eNewRec );

  // Current event and subsystem size.
  int eventSizeOld  = event.size();
  int systemSizeOld = partonSystemsPtr->sizeAll(iSysSel);

  // Save properties to be restored in case of user-hook veto of emission.
  int beamOff1 = 1 + beamOffset;
  int beamOff2 = 2 + beamOffset;
  int ev1Dau1V = event[beamOff1].daughter1();
  int ev2Dau1V = event[beamOff2].daughter1();
  vector statusV, mother1V, mother2V, daughter1V, daughter2V;

  // Check if the first emission shoild be checked for removal
  bool canMergeFirst = (mergingHooksPtr != 0)
                     ? mergingHooksPtr->canVetoEmission() : false;
  if (canVetoEmission || canMergeFirst || doWeakShower) {
    for ( int iCopy = 0; iCopy < systemSizeOld; ++iCopy) {
      int iOldCopy    = partonSystemsPtr->getAll(iSysSel, iCopy);
      statusV.push_back( event[iOldCopy].status());
      mother1V.push_back( event[iOldCopy].mother1());
      mother2V.push_back( event[iOldCopy].mother2());
      daughter1V.push_back( event[iOldCopy].daughter1());
      daughter2V.push_back( event[iOldCopy].daughter2());
    }
  }

  // Take copy of existing system, to be given modified kinematics.
  // Incoming negative status. Rescattered also negative, but after copy.
  for ( int iCopy = 0; iCopy < systemSizeOld; ++iCopy) {
    int iOldCopy    = partonSystemsPtr->getAll(iSysSel, iCopy);
    int statusOld   = event[iOldCopy].status();
    int statusNew   = (iOldCopy == iDaughter
      || iOldCopy == iRecoiler) ? statusOld : 44;
    int iNewCopy    = event.copy(iOldCopy, statusNew);
    if (statusOld < 0) event[iNewCopy].statusNeg();
  }

  // Define colour flow in branching.
  // Default corresponds to f -> f + gamma.
  int colMother     = colDaughter;
  int acolMother    = acolDaughter;
  int colSister     = 0;
  int acolSister    = 0;
  if (idSister == 22 || idSister == 23 || abs(idSister) == 24) ;
  // q -> q + g and 50% of g -> g + g; need new colour.
  else if (idSister == 21 && ( (idMother > 0 && idMother < 9)
  || (idMother == 21 && rndmPtr->flat() < 0.5) ) ) {
    colMother       = event.nextColTag();
    colSister       = colMother;
    acolSister      = colDaughter;
  // qbar -> qbar + g and other 50% of g -> g + g; need new colour.
  } else if (idSister == 21) {
    acolMother      = event.nextColTag();
    acolSister      = acolMother;
    colSister       = acolDaughter;
  // q -> g + q.
  } else if (idDaughterNow == 21 && idMother > 0) {
    colMother       = colDaughter;
    acolMother      = 0;
    colSister       = acolDaughter;
  // qbar -> g + qbar
  } else if (idDaughterNow == 21) {
    acolMother      = acolDaughter;
    colMother       = 0;
    acolSister      = colDaughter;
  // g -> q + qbar.
  } else if (idDaughterNow > 0 && idDaughterNow < 9) {
    acolMother      = event.nextColTag();
    acolSister      = acolMother;
  // g -> qbar + q.
  } else if (idDaughterNow < 0 && idDaughterNow > -9) {
    colMother       = event.nextColTag();
    colSister       = colMother;
  // q -> gamma + q.
  } else if (idDaughterNow == 22 && idMother > 0) {
    colMother       = event.nextColTag();
    colSister       = colMother;
   // qbar -> gamma + qbar.
  } else if (idDaughterNow == 22) {
    acolMother      = event.nextColTag();
    acolSister      = acolMother;
  }

  // Indices of partons involved. Add new sister.
  int iMother       = eventSizeOld + side - 1;
  int iNewRecoiler  = eventSizeOld + 2 - side;
  int iSister       = event.append( idSister, 43, iMother, 0, 0, 0,
     colSister, acolSister, pSister, mSister, sqrt(pT2) );

  // References to the partons involved.
  Particle& daughter    = event[iDaughter];
  Particle& mother      = event[iMother];
  Particle& newRecoiler = event[iNewRecoiler];
  Particle& sister      = event.back();

  // Replace old by new mother; update new recoiler.
  mother.id( idMother );
  mother.status( -41);
  mother.cols( colMother, acolMother);
  mother.p( pMother);
  if (mother.idAbs() == 21 || mother.idAbs() == 22) mother.pol(9);
  newRecoiler.status( (normalRecoil) ? -42 : -46 );
  newRecoiler.p( pNewRec);
  if (!normalRecoil) newRecoiler.m( event[iRecoiler].m() );

  // Update mother and daughter pointers; also for beams.
  daughter.mothers( iMother, 0);
  mother.daughters( iSister, iDaughter);
  if (iSysSel == 0) {
    event[beamOff1].daughter1( (side == 1) ? iMother : iNewRecoiler );
    event[beamOff2].daughter1( (side == 2) ? iMother : iNewRecoiler );
  }

  // Special checks to set weak particles status equal to 47.
  if (sister.idAbs() == 23 || sister.idAbs() == 24) sister.status(47);

  // Find boost to old rest frame.
  RotBstMatrix Mtot;
  if (normalRecoil) Mtot.bst(0., 0., (x2 - x1) / (x1 + x2) );
  else if (side == 1)
       Mtot.toCMframe( event[iDaughter].p(), event[iRecoiler].p() );
  else Mtot.toCMframe( event[iRecoiler].p(), event[iDaughter].p() );

  // Initially select phi angle of branching at random.
  double phi = 2. * M_PI * rndmPtr->flat();

  // Evaluate coefficient of azimuthal asymmetry from gluon polarization.
  findAsymPol( event, dipEndSel);
  int    iFinPol = dipEndSel->iFinPol;
  double cPol    = dipEndSel->asymPol;
  double phiPol  = (iFinPol == 0) ? 0. : event[iFinPol].phi();

  // If interference: try to match sister (anti)colour to final state.
  int    iFinInt = 0;
  double cInt    = 0.;
  double phiInt  = 0.;
  if (doPhiIntAsym) {
    for (int i = 0; i < partonSystemsPtr->sizeOut(iSysSel); ++ i) {
      int iOut = partonSystemsPtr->getOut(iSysSel, i);
      if ( (acolSister != 0 && event[iOut].col() == acolSister)
        || (colSister != 0 && event[iOut].acol() == colSister) )
        iFinInt = iOut;
    }
    if (iFinInt != 0) {
      // Boost final-state parton to current frame of new kinematics.
      Vec4 pFinTmp = event[iFinInt].p();
      pFinTmp.rotbst(Mtot);
      double theFin = pFinTmp.theta();
      if (side == 2) theFin = M_PI - theFin;
      double theSis = pSister.theta();
      if (side == 2) theSis = M_PI - theSis;
      cInt = strengthIntAsym * 2. * theSis * theFin
           / (pow2(theSis) + pow2(theFin));
      phiInt = event[iFinInt].phi();
    }
  }

  // Bias phi distribution for polarization and interference.
  if (iFinPol != 0 || iFinInt != 0) {
    double cPhiPol, cPhiInt, weight;
    do {
      phi     = 2. * M_PI * rndmPtr->flat();
      weight  = 1.;
      if (iFinPol !=0 ) {
        cPhiPol = cos(phi - phiPol);
        weight *= ( 1. + cPol * (2. * pow2(cPhiPol) - 1.) )
          / ( 1. + abs(cPol) );
      }
      if (iFinInt !=0 ) {
        cPhiInt = cos(phi - phiInt);
        weight *= (1. - cInt) * (1. - cInt * cPhiInt)
          / (1. + pow2(cInt) - 2. * cInt * cPhiInt);
      }
    } while (weight < rndmPtr->flat());
  }

  // Include rotation -phi on boost to old rest frame.
  Mtot.rot(0., -phi);

  // Find boost from old rest frame to event cm frame.
  RotBstMatrix MfromRest;
  // The boost to the new rest frame.
  Vec4 sumNew       = pMother + pNewRec;
  double betaX      = sumNew.px() / sumNew.e();
  double betaZ      = sumNew.pz() / sumNew.e();
  MfromRest.bst( -betaX, 0., -betaZ);
  // Alignment of  radiator + recoiler to +- z axis, and rotation +phi.
  // Note: with spacelike (E < 0) recoiler p'_x_mother < 0 can happen!
  pMother.rotbst(MfromRest);
  double theta = pMother.theta();
  if (pMother.px() < 0.) theta = -theta;
  if (side == 2) theta += M_PI;
  MfromRest.rot(-theta, phi);
  // Boost to radiator + recoiler in event cm frame.
  if (normalRecoil) {
    MfromRest.bst( 0., 0., (x1New - x2New) / (x1New + x2New) );
  } else if (side == 1) {
    Vec4 pMotherWanted( 0., 0.,  0.5 * eCM * x1New, 0.5 * eCM * x1New);
    MfromRest.fromCMframe( pMotherWanted, event[iRecoiler].p() );

  } else {
    Vec4 pMotherWanted( 0., 0., -0.5 * eCM * x2New, 0.5 * eCM * x2New);
    MfromRest.fromCMframe( event[iRecoiler].p(), pMotherWanted );
  }
  Mtot.rotbst(MfromRest);

  // ME correction for weak emissions in the t-channel.
  double wt;
  if (MEtype == 201 || MEtype == 202 || MEtype == 203 ||
      MEtype == 206 || MEtype == 207 || MEtype == 208) {

    // Start by finding the correct outgoing particles
    // to use in the ME correction.
    Vec4 pA0     = mother.p();
    Vec4 pB      = newRecoiler.p();
    bool sideRad = (abs(side) == 1);
    Vec4 p1      = event[5].p();
    Vec4 p2      = event[6].p();
    int id1      = event[5].id();
    int id2      = event[6].id();
    if (!tChannel) {swap(p1,p2); swap(id1,id2);}
    if (!sideRad)  {swap(p1,p2); swap(id1,id2);}

    // Rotate with -phi to keep correct for the later +phi rotation.
    p1.rot(0., -phi);
    p2.rot(0., -phi);

    // Calculate the actual weight.
    wt = calcMEcorrWeak(MEtype, m2, z, pT2, pA0, pB,
      event[iDaughter].p(), event[iRecoiler].p(), p1, p2, sister.p());
    if (wt > weakMaxWt) {
      weakMaxWt = wt;
      infoPtr->errorMsg("Warning in SpaceShower::Branch: "
                        "weight is above unity for weak emission.");
    }

    // If weighting fails then restore event record to state before emission.
    if (wt < rndmPtr->flat()) {
      event.popBack( event.size() - eventSizeOld);
      event[beamOff1].daughter1( ev1Dau1V);
      event[beamOff2].daughter1( ev2Dau1V);
      for ( int iCopy = 0; iCopy < systemSizeOld; ++iCopy) {
        int iOldCopy = partonSystemsPtr->getAll(iSysSel, iCopy);
        event[iOldCopy].status( statusV[iCopy]);
        event[iOldCopy].mothers( mother1V[iCopy], mother2V[iCopy]);
        event[iOldCopy].daughters( daughter1V[iCopy], daughter2V[iCopy]);
      }
      return false;
    }
  }

  // Perform cumulative rotation/boost operation.
  // Mother, recoiler and sister from old rest frame to event cm frame.
  mother.rotbst(MfromRest);
  newRecoiler.rotbst(MfromRest);
  sister.rotbst(MfromRest);
  // The rest from (and to) event cm frame.
  for ( int i = eventSizeOld + 2; i < eventSizeOld + systemSizeOld; ++i)
    event[i].rotbst(Mtot);

  // Remove double counting. Only implemented for QCD hard processes
  // and for the first emission.
  if (infoPtr->nISR() + infoPtr->nFSRinProc() == 0
      && infoPtr->code() > 110 && infoPtr->code() < 130
      && MEtype >= 200 && MEtype < 210 && vetoWeakJets) {
   
    // Find outgoing particles.
    int iP1 = event[5].daughter1();
    int iP2 = event[6].daughter1();
    Vec4 pP1 = event[iP1].p();
    Vec4 pP2 = event[iP2].p();
    
    // Set start pT2 as pT2 of emitted particle and therefore no cut.
    double d = sister.pT2();
    bool cut = false;
    
    if (pP1.pT2() < d) {d = pP1.pT2(); cut = true;}
    if (pP2.pT2() < d) {d = pP2.pT2(); cut = true;}
    
    // Check for angle between weak boson and quarks
    // (require final state particle to be a fermion).
    if (event[iP1].idAbs() < 20) {
      double dij = min(pP1.pT2(),sister.pT2())
        * pow2(RRapPhi(pP1,sister.p()))/vetoWeakDeltaR2;
      if (dij < d) {
        d = dij;
        cut = false;
      }
    }

    if (event[iP2].idAbs() < 20) {
       double dij = min(pP2.pT2(),sister.pT2())
         * pow2(RRapPhi(pP2,sister.p()))/vetoWeakDeltaR2;
      if (dij < d) {
        d = dij;
        cut = false;
      }
    }
    
    // Check for angle between recoiler and radiator, if quark anti-quark pair,
    // or if the recoiler is a gluon.
    if (event[iP1].idAbs() == 21 || event[iP2].idAbs() == 21 ||
        event[iP1].id() == - event[iP2].id()) {
      double dij = min(pP1.pT2(),pP2.pT2())
        * pow2(RRapPhi(pP1,pP2))/vetoWeakDeltaR2;
      if (dij < d) {
        d = dij;
        cut = true;
      }
    }

    // Clean up event if the emission should be removed.
    if (cut) {
      event.popBack( event.size() - eventSizeOld);
      event[beamOff1].daughter1( ev1Dau1V);
      event[beamOff2].daughter1( ev2Dau1V);
      for ( int iCopy = 0; iCopy < systemSizeOld; ++iCopy) {
        int iOldCopy = partonSystemsPtr->getAll(iSysSel, iCopy);
        event[iOldCopy].status( statusV[iCopy]);
        event[iOldCopy].mothers( mother1V[iCopy], mother2V[iCopy]);
        event[iOldCopy].daughters( daughter1V[iCopy], daughter2V[iCopy]);
      }
      return false;
    }
  }

  // Allow veto of branching. If so restore event record to before emission.
  if ( (canVetoEmission
    && userHooksPtr->doVetoISREmission(eventSizeOld, event, iSysSel))
    || (canMergeFirst
    && mergingHooksPtr->doVetoEmission( event )) ) {
    event.popBack( event.size() - eventSizeOld);
    event[beamOff1].daughter1( ev1Dau1V);
    event[beamOff2].daughter1( ev2Dau1V);
    for ( int iCopy = 0; iCopy < systemSizeOld; ++iCopy) {
      int iOldCopy = partonSystemsPtr->getAll(iSysSel, iCopy);
      event[iOldCopy].status( statusV[iCopy]);
      event[iOldCopy].mothers( mother1V[iCopy], mother2V[iCopy]);
      event[iOldCopy].daughters( daughter1V[iCopy], daughter2V[iCopy]);
    }
    return false;
  }

  // Update list of partons in system; adding newly produced one.
  partonSystemsPtr->setInA(iSysSel, eventSizeOld);
  partonSystemsPtr->setInB(iSysSel, eventSizeOld + 1);
  for (int iCopy = 2; iCopy < systemSizeOld; ++iCopy)
    partonSystemsPtr->setOut(iSysSel, iCopy - 2, eventSizeOld + iCopy);
  partonSystemsPtr->addOut(iSysSel, eventSizeOld + systemSizeOld);
  partonSystemsPtr->setSHat(iSysSel, m2 / z);
  
  // Add dipoles for  q -> g q, where the daughter is the gluon.
  if (idDaughter == 21 && idMother != 21) {
    if (doQEDshowerByQ) {
      dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
         iNewRecoiler, pT2, 0, mother.chargeType(), 0, 0, normalRecoil) );
    }
    if (doWeakShower && iSysSel == 0) {
      int MEtypeNew = 203;
      if (idRecoiler == 21) MEtypeNew = 201;
      if (idRecoiler == idMother) MEtypeNew = 202;
      // If original was a Drell-Yan, keep as Drell-Yan.
      if( event[3].id() == - event[4].id()) MEtypeNew = 200;
      int weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
      event[iMother].pol(weakPol);
      if ((weakMode == 0 || weakMode == 1) && weakPol == -1)
        dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
         iNewRecoiler, pT2, 0, 0, 1, MEtypeNew, normalRecoil, weakPol) );
      if (weakMode == 0 || weakMode == 2)
        dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
         iNewRecoiler, pT2, 0, 0, 2, MEtypeNew + 5, normalRecoil, weakPol) );
    }
  }

  // Add dipoles for q -> q gamma, where the daughter is the gamma.
  if (idDaughter == 22 && idMother != 22) {
    if (doQCDshower && mother.colType() != 0) {
      dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
        iNewRecoiler, pT2, mother.colType(), 0, 0, 0, normalRecoil) );
    }
    if (doQEDshowerByQ && mother.chargeType() != 3) {
      dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
        iNewRecoiler, pT2, 0, mother.chargeType(), 0, 0, normalRecoil) );
    }
    if (doQEDshowerByL && mother.chargeType() == 3) {
      dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
         iNewRecoiler, pT2, 0, mother.chargeType(), 0, 0, normalRecoil) );
    }
    if (doWeakShower && iSysSel == 0) {
      int MEtypeNew = 203;
      if (idRecoiler == 21) MEtypeNew = 201;
      if (idRecoiler == idMother) MEtypeNew = 202;
      // If original was a Drell-Yan, keep as Drell-Yan.
      if( event[3].id() == - event[4].id()) MEtypeNew = 200;
      int weakPol = (rndmPtr->flat() > 0.5) ? -1 : 1;
      event[iMother].pol(weakPol);
      if ((weakMode == 0 || weakMode == 1) && weakPol == -1)
        dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
         iNewRecoiler, pT2, 0, 0, 1, MEtypeNew, normalRecoil, weakPol) );
      if (weakMode == 0 || weakMode == 2)
        dipEnd.push_back( SpaceDipoleEnd( iSysSel, side, iMother,
          iNewRecoiler, pT2, 0, 0, 2, MEtypeNew + 5, normalRecoil, weakPol) );
    }
  }

  // dipEnd array may have expanded and been moved, so regenerate dipEndSel.
  dipEndSel = &dipEnd[iDipSel];

  // Set flag to tell that a weak emission has happened.
  if (dipEndSel->weakType != 0) hasWeaklyRadiated = true;
  
  // Update list of QCD emissions in side A and B in given iSysSel
  // This is used to veto jets in W/z events.
  while (iSysSel >= int(nRadA.size()) || iSysSel >= int(nRadB.size())) {
    nRadA.push_back(0);
    nRadB.push_back(0);
  }
  if (dipEndSel->colType != 0 && side == 1) ++nRadA[iSysSel];
  else if (dipEndSel->colType != 0) ++nRadB[iSysSel];

  // Update info on radiating dipole ends (QCD, QED or weak).
  for (int iDip = 0; iDip < int(dipEnd.size()); ++iDip)
  if ( dipEnd[iDip].system == iSysSel) {
    if (abs(dipEnd[iDip].side) == side) {
      dipEnd[iDip].iRadiator = iMother;
      dipEnd[iDip].iRecoiler = iNewRecoiler;
      if (dipEnd[iDip].colType  != 0)
        dipEnd[iDip].colType = mother.colType();
      else if (dipEnd[iDip].chgType != 0) {
        dipEnd[iDip].chgType = 0;
        if ( (mother.isQuark() && doQEDshowerByQ)
          || (mother.isLepton() && doQEDshowerByL) )
          dipEnd[iDip].chgType = mother.chargeType();
      }
      else if (dipEnd[iDip].weakType != 0) {
        // Kill weak dipole if mother becomes gluon / photon.
        if (!(mother.isLepton() || mother.isQuark()))
          dipEnd[iDip].weakType = 0;
        if (singleWeakEmission && hasWeaklyRadiated)
          dipEnd[iDip].weakType = 0;
      }

      // Kill ME corrections after first emission for everything
      // but weak showers.
      if (dipEnd[iDip].weakType == 0) dipEnd[iDip].MEtype = 0;
      
    // Update info on recoiling dipole ends (QCD or QED).
    } else {
      dipEnd[iDip].iRadiator = iNewRecoiler;
      dipEnd[iDip].iRecoiler = iMother;
      // Optionally also kill recoiler ME corrections after first emission.
      if (!doMEafterFirst && dipEnd[iDip].weakType == 0)
        dipEnd[iDip].MEtype = 0;
      // Remove weak dipoles if we only want a single emission.
      if (dipEnd[iDip].weakType != 0 && singleWeakEmission
        && hasWeaklyRadiated) dipEnd[iDip].weakType = 0;
    }
  }

  // Set polarisation of mother for weak emissions.
  if (dipEndSel->weakType != 0) mother.pol(dipEndSel->weakPol);

  // Update info on beam remnants.
  BeamParticle& beamNow = (side == 1) ? *beamAPtr : *beamBPtr;
  double xNew = (side == 1) ? x1New : x2New;
  beamNow[iSysSel].update( iMother, idMother, xNew);
  // Redo choice of companion kind whenever new flavour.
  if (idMother != idDaughterNow) {
    pdfScale2 = (useFixedFacScale) ? fixedFacScale2 : factorMultFac * pT2;
    beamNow.xfISR( iSysSel, idMother, xNew, pdfScale2);
    beamNow.pickValSeaComp();
  }
  BeamParticle& beamRec = (side == 1) ? *beamBPtr : *beamAPtr;
  beamRec[iSysSel].iPos( iNewRecoiler);

  // Store branching values of current dipole. (For rapidity ordering.)
  ++dipEndSel->nBranch;
  dipEndSel->pT2Old = pT2;
  dipEndSel->zOld   = z;

  // Update history if recoiler rescatters.
  if (!normalRecoil)
    event[iRecoilMother].daughters( iNewRecoiler, iNewRecoiler);

  // Start list of rescatterers that force changed kinematics.
  vector iRescatterer;
  for ( int i = 0; i < systemSizeOld - 2; ++i) {
    int iOutNew = partonSystemsPtr->getOut( iSysSel, i);
    if (!event[iOutNew].isFinal()) iRescatterer.push_back(iOutNew);
  }

  // Start iterate over list of such rescatterers.
  int iRescNow = -1;
  while (++iRescNow < int(iRescatterer.size())) {

    // Identify partons that induce or are affected by rescatter shift.
    // In following Old is before change of kinematics, New after,
    // Out scatterer in outstate and In in instate of another system.
    // Daughter sequence is (iOutOld ->) iOutNew -> iInNew -> iInOld.
    int iOutNew    = iRescatterer[iRescNow];
    int iInOld     = event[iOutNew].daughter1();
    int iSysResc   = partonSystemsPtr->getSystemOf(iInOld, true);

    // Copy incoming partons of rescattered system and hook them up.
    int iOldA      = partonSystemsPtr->getInA(iSysResc);
    int iOldB      = partonSystemsPtr->getInB(iSysResc);
    bool rescSideA = event[iOldA].isRescatteredIncoming();
    int statusNewA = (rescSideA) ? -45 : -42;
    int statusNewB = (rescSideA) ? -42 : -45;
    int iNewA      = event.copy(iOldA, statusNewA);
    int iNewB      = event.copy(iOldB, statusNewB);

    // Copy outgoing partons of rescattered system and hook them up.
    int eventSize  = event.size();
    int sizeOutAB  = partonSystemsPtr->sizeOut(iSysResc);
    int iOldAB, statusOldAB, iNewAB;
    for (int iOutAB = 0; iOutAB < sizeOutAB; ++iOutAB) {
      iOldAB       = partonSystemsPtr->getOut(iSysResc, iOutAB);
      statusOldAB  = event[iOldAB].status();
      iNewAB       = event.copy(iOldAB, 44);
      // Status could be negative for parton that rescatters in its turn.
      if (statusOldAB < 0) {
        event[iNewAB].statusNeg();
        iRescatterer.push_back(iNewAB);
      }
    }

    // Hook up new outgoing with new incoming parton.
    int iInNew     = (rescSideA) ? iNewA : iNewB;
    event[iOutNew].daughters( iInNew, iInNew);
    event[iInNew].mothers( iOutNew, iOutNew);

    // Rescale recoiling incoming parton for correct invariant mass.
    event[iInNew].p( event[iOutNew].p() );
    double momFac  = (rescSideA)
                   ? event[iInOld].pPos() / event[iInNew].pPos()
                   : event[iInOld].pNeg() / event[iInNew].pNeg();
    int iInRec     = (rescSideA) ? iNewB : iNewA;

    // Rescatter: A previous boost may cause the light cone momentum of a
    //            rescattered parton to change sign. If this happens, tell
    //            parton level to try again.
    if (momFac < 0.0) {
      infoPtr->errorMsg("Warning in SpaceShower::branch: "
      "change in lightcone momentum sign; retrying parton level");
      rescatterFail = true;
      return false;
    }
    event[iInRec].rescale4( momFac);

    // Boost outgoing partons to new frame of incoming.
    RotBstMatrix MmodResc;
    MmodResc.toCMframe(  event[iOldA].p(), event[iOldB].p());
    MmodResc.fromCMframe(event[iNewA].p(), event[iNewB].p());
    for (int iOutAB = 0; iOutAB < sizeOutAB; ++iOutAB)
      event[eventSize + iOutAB].rotbst(MmodResc);

    // Update list of partons in system.
    partonSystemsPtr->setInA(iSysResc, iNewA);
    partonSystemsPtr->setInB(iSysResc, iNewB);
    for (int iCopy = 0; iCopy < sizeOutAB; ++iCopy)
      partonSystemsPtr->setOut(iSysResc, iCopy, eventSize + iCopy);

    // Update info on radiating dipole ends (QCD or QED).
    for (int iDip = 0; iDip < int(dipEnd.size()); ++iDip)
    if ( dipEnd[iDip].system == iSysResc) {
      bool sideAnow = (abs(dipEnd[iDip].side) == 1);
      dipEnd[iDip].iRadiator = (sideAnow) ? iNewA : iNewB;
      dipEnd[iDip].iRecoiler = (sideAnow) ? iNewB : iNewA;
    }

    // Update info on beam remnants.
    BeamParticle& beamResc = (rescSideA) ? *beamAPtr : *beamBPtr;
    beamResc[iSysResc].iPos( iInNew);
    beamResc[iSysResc].p( event[iInNew].p() );
    beamResc[iSysResc].scaleX( 1. / momFac  );
    BeamParticle& beamReco = (rescSideA) ? *beamBPtr : *beamAPtr;
    beamReco[iSysResc].iPos( iInRec);
    beamReco[iSysResc].scaleX( momFac);

  // End iterate over list of rescatterers.
  }

  // Check that beam momentum not used up by rescattered-system boosts.
  if (beamAPtr->xMax(-1) < 0.0 || beamBPtr->xMax(-1) < 0.0) {
    infoPtr->errorMsg("Warning in SpaceShower::branch: "
      "used up beam momentum; retrying parton level");
    rescatterFail = true;
    return false;
  }

  // Done without any errors.
  return true;

}

//--------------------------------------------------------------------------

// Find class of ME correction.

  int SpaceShower::findMEtype( int iSys, Event& event, bool weakRadiation) {

  // Default values and no action.
  int MEtype = 0;
  if (!doMEcorrections) return MEtype;

  // Identify systems producing a single resonance.
  if (partonSystemsPtr->sizeOut( iSys) == 1 && !weakRadiation) {
    int idIn1 = event[partonSystemsPtr->getInA(iSys)].id();
    int idIn2 = event[partonSystemsPtr->getInA(iSys)].id();
    int idRes = event[partonSystemsPtr->getOut(iSys, 0)].id();
    if (iSys == 0) idResFirst  = abs(idRes);
    if (iSys == 1) idResSecond = abs(idRes);
      
    // f + fbar -> vector boson.
    if ( (idRes == 23 || abs(idRes) == 24 || idRes == 32
       || idRes == 33 || abs(idRes) == 34 || abs(idRes) == 41)
       && abs(idIn1) < 20 && abs(idIn2) < 20 ) MEtype = 1;
      
    // g + g, gamma + gamma  -> Higgs boson.
    if ( (idRes == 25 || idRes == 35 || idRes == 36)
      && ( ( idIn1 == 21 && idIn2 == 21 )
        || ( idIn1 == 22 && idIn2 == 22 ) ) ) MEtype = 2;
    
    // f + fbar  -> Higgs boson.
    if ( (idRes == 25 || idRes == 35 || idRes == 36)
      && abs(idIn1) < 20 && abs(idIn2) < 20 ) MEtype = 3;
  }

  // Weak ME corrections.
  if (weakRadiation) {
    if (event[3].id() == -event[4].id()
     || event[event[3].daughter1()].idAbs() == 24 || infoPtr->nFinal() != 2)
         MEtype = 200;
    else if (event[3].idAbs() == 21 || event[4].idAbs() == 21) MEtype = 201;
    else if (event[3].id() == event[4].id()) MEtype = 202;
    else MEtype = 203;
  }
  
  // Done.
  return MEtype;

}

//--------------------------------------------------------------------------

// Provide maximum of expected ME weight; for preweighting of evolution.

double SpaceShower::calcMEmax( int MEtype, int idMother, int idDaughterIn) {

  // Main non-unity case: g(gamma) f -> V f'.
  if (MEtype == 1 && idMother > 20 && idDaughterIn < 20) return 3.;

  // Added a case for t-channel W/Z exchange, since the PS is not an
  // overestimate. This does not help fully, but it should only be small
  // pT quarks / gluons that break the overscattering.
  if ( MEtype == 201 || MEtype == 202 || MEtype == 203
    || MEtype == 206 || MEtype == 207 || MEtype == 208) return WEAKPSWEIGHT;

  // Default.
  return 1.;

}

//--------------------------------------------------------------------------

// Provide actual ME weight for current branching.
// Note: currently ME corrections are only allowed for first branching
// on each side, so idDaughter is essentially known and checks overkill.

double SpaceShower::calcMEcorr(int MEtype, int idMother, int idDaughterIn,
  double M2, double z, double Q2, double m2Sister) {

  // Convert to Mandelstam variables. Sometimes may need to swap later.
  double sH = M2 / z;
  double tH = -Q2;
  double uH = Q2 - M2 * (1. - z) / z;
  int idMabs = abs(idMother);
  int idDabs = abs(idDaughterIn);

  // Corrections for f + fbar -> s-channel vector boson.
  if (MEtype == 1) {
    if (idMabs < 20 && idDabs < 20) {
      return (tH*tH + uH*uH + 2. * M2 * sH) / (sH*sH + M2*M2);
    } else if (idDabs < 20) {
      // g(gamma) f -> V f': -Q2 = (p_g - p_f')^2 in PS while
      // tHat = (p_f - p_f')^2 in ME so need to swap tHat <-> uHat.
      swap( tH, uH);
      return (sH*sH + uH*uH + 2. * M2 * tH) / (pow2(sH - M2) + M2*M2);
    }

  // Corrections for g + g -> Higgs boson.
  } else if (MEtype == 2) {
    if (idMabs < 20 && idDabs > 20) {
      return (sH*sH + uH*uH) / (sH*sH + pow2(sH - M2));
    } else if (idDabs > 20) {
      return 0.5 * (pow4(sH) + pow4(tH) + pow4(uH) + pow4(M2))
        / pow2(sH*sH - M2 * (sH - M2));
    }

  // Corrections for f + fbar -> Higgs boson (f = b mainly).
  } else if (MEtype == 3) {
    if (idMabs < 20 && idDabs < 20) {
      // The PS and ME answers agree for f fbar -> H g/gamma.
      return 1.;
    } else if (idDabs < 20) {
      // Need to swap tHat <-> uHat, cf. vector-boson production above.
      swap( tH, uH);
      return (sH*sH + uH*uH + 2. * (M2 - uH) * (M2 - sH))
             / (pow2(sH - M2) + M2*M2);
    }

  // Corrections for f -> f' + W/Z (s-channel).
  } else if (MEtype == 200 || MEtype == 205) {
    // Need to redo calculations of uH since we now emit a massive particle.
    uH += m2Sister;
    double wtME = (uH*uH + tH*tH + 2 * sH * (m2Sister + M2)) / (uH*tH)
      - M2 * m2Sister * (1/(tH*tH) + 1/(uH*uH));
    double wtPS =  (sH*sH + pow2(M2 + m2Sister)) / (tH*uH);
    return wtME / wtPS;
  } else if (MEtype == 201 || MEtype == 202 || MEtype == 203 ||
             MEtype == 206 ||  MEtype == 207 || MEtype == 208)
    return calcMEmax(MEtype, 0, 0);

  // Default.
  return 1.;

}

//--------------------------------------------------------------------------

// Provide actual ME weight for current branching for weak t-channel emissions.

double SpaceShower::calcMEcorrWeak(int MEtype, double m2, double z,
  double pT2, Vec4 pMother, Vec4 pB, Vec4 pDaughter,
  Vec4 pB0, Vec4 p1, Vec4 p2, Vec4 pSister) {
 
  // Find daughter four-momentum in current frame.
  Vec4 pA = pMother - pSister;
  
  // Scale outgoing vectors to conserve energy / momentum.
  double scaleFactor2 = (pA + pB).m2Calc() / (p1 + p2).m2Calc();
  double scaleFactor  = sqrt(scaleFactor2);
  RotBstMatrix rot2to2frame;
  rot2to2frame.bstback(p1 + p2);
  p1.rotbst(rot2to2frame);
  p2.rotbst(rot2to2frame);
  p1 *= scaleFactor;
  p2 *= scaleFactor;
 
  // Find 2 to 2 rest frame for incoming particles.
  // This is done before one of the two are made virtual (Q^2 mass).
  RotBstMatrix rot2to2frameInc;
  rot2to2frameInc.bstback(pDaughter + pB0);
  pDaughter.rotbst(rot2to2frameInc);
  pB0.rotbst(rot2to2frameInc);
  double sHat = (p1 + p2).m2Calc();
  double tHat = (p1 - pDaughter).m2Calc();
  double uHat = (p1 - pB0).m2Calc();
  
  // Calculate the weak t-channel correction.
  double m2R1 = 1. + pSister.m2Calc() / m2;
  double wt = 4. * sHat / (pMother + pB).m2Calc() * pT2 * ( 1. - z * m2R1)
    / (1. + pow2(z * m2R1)) / (1.-z);
  if (MEtype == 201 || MEtype == 206)
    wt *= weakShowerMEs.getTchanneluGuGZME(pMother, pB, p2, pSister, p1)
        / weakShowerMEs.getTchanneluGuGME(sHat, tHat, uHat);
  else if (MEtype == 202 || MEtype == 207)
    wt *= weakShowerMEs.getTchannelududZME(pMother, pB, pSister, p2, p1)
        / weakShowerMEs.getTchanneluuuuME(sHat, tHat, uHat);
  else if (MEtype == 203 || MEtype == 208)
     wt *= weakShowerMEs.getTchannelududZME(pMother, pB, pSister, p2, p1)
         / weakShowerMEs.getTchannelududME(sHat, tHat, uHat);

  // Split of ME into an ISR part and FSR part.
  wt *= (pSister + p1).m2Calc() / ( (pSister + p1).m2Calc()
      + abs((-pMother + pSister).m2Calc()) );
  
  // Remove the addition weight that was used to get an overestimate.
  wt /= calcMEmax(MEtype, 0, 0);
  
  return wt;
}

//--------------------------------------------------------------------------

// Find coefficient of azimuthal asymmetry from gluon polarization.

void SpaceShower::findAsymPol( Event& event, SpaceDipoleEnd* dip) {

  // Default is no asymmetry. Only gluons are studied.
  dip->iFinPol   = 0;
  dip->asymPol   = 0.;
  int iRad       = dip->iRadiator;
  if (!doPhiPolAsym || dip->idDaughter != 21) return;

  // At least two particles in final state, whereof at least one coloured.
  int systemSizeOut = partonSystemsPtr->sizeOut( iSysSel);
  if (systemSizeOut < 2) return;
  bool foundColOut  = false;
  for (int ii = 0; ii < systemSizeOut; ++ii) {
    int i = partonSystemsPtr->getOut( iSysSel, ii);
    if (event[i].col() != 0 || event[i].acol() != 0) foundColOut = true;
  }
  if (!foundColOut) return;

  // Check if granddaughter in final state of hard scattering.
  // (May need to trace across carbon copies to find granddaughters.)
  // If so, only accept 2 -> 2 scatterings with gg or qq in final state.
  int iGrandD1 = event[iRad].daughter1();
  int iGrandD2 = event[iRad].daughter2();
  bool traceCopy = false;
  do {
    traceCopy = false;
    if (iGrandD1 > 0 && iGrandD2 == iGrandD1) {
      iGrandD1 = event[iGrandD2].daughter1();
      iGrandD2 = event[iGrandD2].daughter2();
      traceCopy = true;
    }
  } while (traceCopy);
  int statusGrandD1 = event[ iGrandD1 ].statusAbs();
  bool isHardProc  = (statusGrandD1 == 23 || statusGrandD1 == 33);
  if (isHardProc) {
    if (iGrandD2 != iGrandD1 + 1) return;
    if (event[iGrandD1].isGluon() && event[iGrandD2].isGluon());
    else if (event[iGrandD1].isQuark() && event[iGrandD2].isQuark());
    else return;
  }
  dip->iFinPol = iGrandD1;

  // Coefficient from gluon production.
  if (dip->idMother == 21) dip->asymPol = pow2( (1. - dip->z)
    / (1. - dip->z * (1. - dip->z) ) );
  else dip->asymPol = 2. * (1. - dip->z) / (1. + pow2(1. - dip->z) );

  // Coefficients from gluon decay. Put z = 1/2 for hard process.
  double zDau  = (isHardProc) ? 0.5 : dip->zOld;
  if (event[iGrandD1].isGluon()) dip->asymPol *= pow2( (1. - zDau)
    / (1. - zDau * (1. - zDau) ) );
  else  dip->asymPol *= -2. * zDau *( 1. - zDau )
    / (1. - 2. * zDau * (1. - zDau) );

}

//--------------------------------------------------------------------------

// Remove weak dipoles if FSR already emitted a W/Z
// and only a single weak emission is permited.

void SpaceShower::update(int , Event &, bool hasWeakRad) {

  if (hasWeakRad && singleWeakEmission)
    for (int i = 0; i < int(dipEnd.size()); i++)
      if (dipEnd[i].weakType != 0) dipEnd[i].weakType = 0;
  if (hasWeakRad) hasWeaklyRadiated = true;

}

//-------------------------------------------------------------------------

// Print the list of dipoles.

void SpaceShower::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA SpaceShower Dipole Listing  -------------- \n"
     << "\n    i  syst  side   rad   rec       pTmax  col  chg   ME rec \n"
     << fixed << setprecision(3);
  
  // Loop over dipole list and print it.
  for (int i = 0; i < int(dipEnd.size()); ++i)
  os << setw(5) << i << setw(6) << dipEnd[i].system
     << setw(6) << dipEnd[i].side << setw(6) << dipEnd[i].iRadiator
     << setw(6) << dipEnd[i].iRecoiler << setw(12) << dipEnd[i].pTmax
     << setw(5) << dipEnd[i].colType << setw(5) << dipEnd[i].chgType
     << setw(5) << dipEnd[i].MEtype << setw(4)
     << dipEnd[i].normalRecoil << "\n";

  // Done.
  os << "\n --------  End PYTHIA SpaceShower Dipole Listing  ----------"
     << endl;
  

}

//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/SigmaExtraDim.cc0000644000175000017500000032333212357054763016155 0ustar  sunsun// SigmaExtraDim.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Author: Stefan Ask for the *LED* routines.
// Function definitions (not found in the header) for the
// extra-dimensional simulation classes.

#include "Pythia8/SigmaExtraDim.h"

namespace Pythia8 {

//==========================================================================

// ampLedS (amplitude) method for LED graviton tree level exchange.
// Based on Eq. (8) in JHEP 1105 (2011) 092, arXiv:1101.4919.

complex ampLedS(double x, double n, double L, double M) {
  
  complex cS(0., 0.);
  if (n <= 0) return cS;

  // Constants.
  double exp1 = n - 2;
  double exp2 = n + 2;
  double rC = sqrt(pow(M_PI,n)) * pow(L,exp1)
            / (GammaReal(n/2.) * pow(M,exp2));

  // Base functions, F1 and F2.
  complex I(0., 1.);
  if (x < 0) {
    double sqrX = sqrt(-x);
    if (int(n) % 2 == 0) {
      cS = -log(fabs(1 - 1/x));
    } else {
      cS = (2.*atan(sqrX) - M_PI)/sqrX;
    }
  } else if ((x > 0) && (x < 1)) {
    double sqrX = sqrt(x);
    if (int(n) % 2 == 0) {
      cS = -log(fabs(1 - 1/x)) - M_PI*I;
    } else {
      double rat = (sqrX + 1)/(sqrX - 1);
      cS = log(fabs(rat))/sqrX - M_PI*I/sqrX;
    }
  } else if (x > 1){
    double sqrX = sqrt(x);
    if (int(n) % 2 == 0) {
      cS = -log(fabs(1 - 1/x));
    } else {
      double rat = (sqrX + 1)/(sqrX - 1);
      cS = log(fabs(rat))/sqrX;
    }
  }
  
  // Recursive part.
  int nL;
  int nD;
  if (int(n) % 2 == 0) {
    nL = int(n/2.);
    nD = 2;
  } else {
    nL = int((n + 1)/2.);
    nD = 1;
  }
  for (int i=1; i G* (excited graviton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1gg2GravitonStar::initProc() {

  // Store G* mass and width for propagator.
  idGstar  = 5100039;
  mRes     = particleDataPtr->m0(idGstar);
  GammaRes = particleDataPtr->mWidth(idGstar);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // SMinBulk = off/on, use universal coupling (kappaMG)
  // or individual (Gxx) between graviton and SM particles.
  eDsmbulk   = settingsPtr->flag("ExtraDimensionsG*:SMinBulk");
  eDvlvl = false;
  if (eDsmbulk) eDvlvl = settingsPtr->flag("ExtraDimensionsG*:VLVL");
  kappaMG    = settingsPtr->parm("ExtraDimensionsG*:kappaMG");
  for (int i = 0; i < 27; ++i) eDcoupling[i] = 0.;
  double tmPcoup = settingsPtr->parm("ExtraDimensionsG*:Gqq");
  for (int i = 1; i <= 4; ++i)  eDcoupling[i] = tmPcoup;
  eDcoupling[5] = settingsPtr->parm("ExtraDimensionsG*:Gbb");
  eDcoupling[6] = settingsPtr->parm("ExtraDimensionsG*:Gtt");
  tmPcoup = settingsPtr->parm("ExtraDimensionsG*:Gll");
  for (int i = 11; i <= 16; ++i) eDcoupling[i] = tmPcoup;
  eDcoupling[21] = settingsPtr->parm("ExtraDimensionsG*:Ggg");
  eDcoupling[22] = settingsPtr->parm("ExtraDimensionsG*:Ggmgm");
  eDcoupling[23] = settingsPtr->parm("ExtraDimensionsG*:GZZ");
  eDcoupling[24] = settingsPtr->parm("ExtraDimensionsG*:GWW");
  eDcoupling[25] = settingsPtr->parm("ExtraDimensionsG*:Ghh");

  // Set pointer to particle properties and decay table.
  gStarPtr = particleDataPtr->particleDataEntryPtr(idGstar);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1gg2GravitonStar::sigmaKin() {

  // Incoming width for gluons.
  double widthIn  = mH / (160. * M_PI);

  // RS graviton coupling
  if (eDsmbulk) widthIn *= 2. * pow2(eDcoupling[21] * mH);
  else          widthIn *= pow2(kappaMG * mH / mRes);

  // Set up Breit-Wigner. Width out only includes open channels.
  double sigBW    = 5. * M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double widthOut = gStarPtr->resWidthOpen(idGstar, mH);

  // Modify cross section in wings of peak. Done.
  sigma           = widthIn * sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1gg2GravitonStar::setIdColAcol() {

  // Flavours trivial.
  setId( 21, 21, idGstar);

  // Colour flow topology.
  setColAcol( 1, 2, 2, 1, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for G* decay angle.
// SA: Angle dist. for decay G* -> W/Z/h, based on
// Phys.Rev. D65 (2002) 075008, [arXiv:hep-ph/0103308v3]
  
double Sigma1gg2GravitonStar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // G* should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Phase space factors. Reconstruct decay angle.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);

  // Default is isotropic decay.
  double wt     = 1.;

  // Angular weight for g + g -> G* -> f + fbar.
  if (process[6].idAbs() < 19) {
    wt = 1. - pow4(cosThe);

  // Angular weight for g + g -> G* -> g + g or gamma + gamma.
  } else if (process[6].id() == 21 || process[6].id() == 22) {
    wt = (1. + 6. * pow2(cosThe) + pow4(cosThe)) / 8.;

  // Angular weight for g + g -> G* -> Z + Z or W + W.
  } else if (process[6].id() == 23 || process[6].id() == 24) {
    double beta2 = pow2(betaf);
    double cost2 = pow2(cosThe);
    double cost4 = pow2(cost2);
    wt = pow2(beta2 - 2.)*(1. - 2.*cost2 + cost4);
    // Longitudinal W/Z only.
    if(eDvlvl) {
      wt /= 4.;
    // Transverse W/Z contributions as well.
    } else {
      double beta4 = pow2(beta2);
      double beta8 = pow2(beta4);
      wt += 2.*pow2(beta4 - 1.)*beta4*cost4;
      wt += 2.*pow2(beta2 - 1.)*(1. - 2.*beta4*cost2 + beta8*cost4);
      wt += 2.*(1. + 6.*beta4*cost2 + beta8*cost4);
      wt += 8.*(1. - beta2)*(1. - cost4);
      wt /= 18.;
    }

  // Angular weight for g + g -> G* -> h + h
  } else if (process[6].id() == 25) {
    double beta2 = pow2(betaf);
    double cost2 = pow2(cosThe);
    double cost4 = pow2(cost2);
    wt = pow2(beta2 - 2.)*(1. - 2.*cost2 + cost4);
    wt /= 4.;
  }
  
  // Done.
  return wt;

}

//==========================================================================

// Sigma1ffbar2GravitonStar class.
// Cross section for f fbar -> G* (excited graviton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2GravitonStar::initProc() {

  // Store G* mass and width for propagator.
  idGstar  = 5100039;
  mRes     = particleDataPtr->m0(idGstar);
  GammaRes = particleDataPtr->mWidth(idGstar);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // SMinBulk = off/on, use universal coupling (kappaMG)
  // or individual (Gxx) between graviton and SM particles.
  eDsmbulk   = settingsPtr->flag("ExtraDimensionsG*:SMinBulk");
  eDvlvl = false;
  if (eDsmbulk) eDvlvl = settingsPtr->flag("ExtraDimensionsG*:VLVL");
  kappaMG    = settingsPtr->parm("ExtraDimensionsG*:kappaMG");
  for (int i = 0; i < 27; ++i) eDcoupling[i] = 0.;
  double tmPcoup = settingsPtr->parm("ExtraDimensionsG*:Gqq");
  for (int i = 1; i <= 4; ++i)  eDcoupling[i] = tmPcoup;
  eDcoupling[5] = settingsPtr->parm("ExtraDimensionsG*:Gbb");
  eDcoupling[6] = settingsPtr->parm("ExtraDimensionsG*:Gtt");
  tmPcoup = settingsPtr->parm("ExtraDimensionsG*:Gll");
  for (int i = 11; i <= 16; ++i) eDcoupling[i] = tmPcoup;
  eDcoupling[21] = settingsPtr->parm("ExtraDimensionsG*:Ggg");
  eDcoupling[22] = settingsPtr->parm("ExtraDimensionsG*:Ggmgm");
  eDcoupling[23] = settingsPtr->parm("ExtraDimensionsG*:GZZ");
  eDcoupling[24] = settingsPtr->parm("ExtraDimensionsG*:GWW");
  eDcoupling[25] = settingsPtr->parm("ExtraDimensionsG*:Ghh");

  // Set pointer to particle properties and decay table.
  gStarPtr = particleDataPtr->particleDataEntryPtr(idGstar);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2GravitonStar::sigmaKin() {

  // Incoming width for fermions, disregarding colour factor.
  double widthIn  = mH / (80. * M_PI);

  // Set up Breit-Wigner. Width out only includes open channels.
  double sigBW    = 5. * M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double widthOut = gStarPtr->resWidthOpen(idGstar, mH);

  // Modify cross section in wings of peak. Done.
  sigma0          = widthIn * sigBW * widthOut * sH / m2Res;
}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part dependent of incoming flavour.

double Sigma1ffbar2GravitonStar::sigmaHat() {
  
  double sigma = sigma0;

  // RS graviton coupling
  if (eDsmbulk) sigma *= 2. * pow2(eDcoupling[min( abs(id1), 26)] * mH);
  else          sigma *= pow2(kappaMG * mH / mRes);

  // If initial quarks, 1/N_C
  if (abs(id1) < 9) sigma /= 3.;
  
  return sigma;
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2GravitonStar::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idGstar);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for G* decay angle.
// SA: Angle dist. for decay G* -> W/Z/h, based on
// Phys.Rev. D65 (2002) 075008, [arXiv:hep-ph/0103308v3]

double Sigma1ffbar2GravitonStar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // G* should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Phase space factors. Reconstruct decay angle.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);

  // Default is isotropic decay.
  double wt     = 1.;

  // Angular weight for f + fbar -> G* -> f + fbar.
  if (process[6].idAbs() < 19) {
    wt = (1. - 3. * pow2(cosThe) + 4. * pow4(cosThe)) / 2.;

  // Angular weight for f + fbar -> G* -> g + g or gamma + gamma.
  } else if (process[6].id() == 21 || process[6].id() == 22) {
    wt = 1. - pow4(cosThe);

  // Angular weight for f + fbar -> G* -> Z + Z or W + W.
  }  else if (process[6].id() == 23 || process[6].id() == 24) {
    double beta2 = pow2(betaf);
    double cost2 = pow2(cosThe);
    double cost4 = pow2(cost2);
    wt = pow2(beta2 - 2.)*cost2*(1. - cost2);
    // Longitudinal W/Z only.
    if (eDvlvl) {
      wt /= 4.;
    // Transverse W/Z contributions as well.
    } else {
      wt += pow2(beta2 - 1.)*cost2*(1. - cost2);
      wt += 2.*(1. - cost4);
      wt += (1. - beta2)*(1. - 3.*cost2 + 4.*cost4);
      wt /= 8.;
    }

  // Angular weight for f + fbar -> G* -> h + h
  } else if (process[6].id() == 25) {
    double beta2 = pow2(betaf);
    double cost2 = pow2(cosThe);
    wt = pow2(beta2 - 2.)*cost2*(1. - cost2);
    wt /= 4.;
  }
 
  // Done.
  return wt;

}

//==========================================================================

// Sigma1qqbar2KKgluonStar class.
// Cross section for q qbar -> g^*/KK-gluon^* (excited KK-gluon state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1qqbar2KKgluonStar::initProc() {

  // Store kk-gluon* mass and width for propagator.
  idKKgluon = 5100021;
  mRes      = particleDataPtr->m0(idKKgluon);
  GammaRes  = particleDataPtr->mWidth(idKKgluon);
  m2Res     = mRes*mRes;
  GamMRat   = GammaRes / mRes;

  // KK-gluon gv/ga couplings and interference.
  for (int i = 0; i < 10; ++i) { eDgv[i] = 0.; eDga[i] = 0.; }
  double tmPgL = settingsPtr->parm("ExtraDimensionsG*:KKgqL");
  double tmPgR = settingsPtr->parm("ExtraDimensionsG*:KKgqR");
  for (int i = 1; i <= 4; ++i) {
    eDgv[i] = 0.5 * (tmPgL + tmPgR);
    eDga[i] = 0.5 * (tmPgL - tmPgR);
  }
  tmPgL = settingsPtr->parm("ExtraDimensionsG*:KKgbL");
  tmPgR = settingsPtr->parm("ExtraDimensionsG*:KKgbR");
  eDgv[5] = 0.5 * (tmPgL + tmPgR); eDga[5] = 0.5 * (tmPgL - tmPgR);
  tmPgL = settingsPtr->parm("ExtraDimensionsG*:KKgtL");
  tmPgR = settingsPtr->parm("ExtraDimensionsG*:KKgtR");
  eDgv[6] = 0.5 * (tmPgL + tmPgR); eDga[6] = 0.5 * (tmPgL - tmPgR);
  interfMode    = settingsPtr->mode("ExtraDimensionsG*:KKintMode");

  // Set pointer to particle properties and decay table.
  gStarPtr = particleDataPtr->particleDataEntryPtr(idKKgluon);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1qqbar2KKgluonStar::sigmaKin() {

  // Incoming width for fermions.
  double widthIn  = alpS * mH * 4 / 27;
  double widthOut = alpS * mH / 6;

  // Loop over all decay channels.
  sumSM  = 0.;
  sumInt = 0.;
  sumKK  = 0.;

  for (int i = 0; i < gStarPtr->sizeChannels(); ++i) {
    int idAbs = abs( gStarPtr->channel(i).product(0) );

    // Only contributions quarks.
    if ( idAbs > 0 && idAbs <= 6 ) {
      double mf = particleDataPtr->m0(idAbs);

      // Check that above threshold. Phase space.
      if (mH > 2. * mf + MASSMARGIN) {
        double mr    = pow2(mf / mH);
        double beta  = sqrtpos(1. - 4. * mr);
      
        // Store sum of combinations. For outstate only open channels.
        int onMode = gStarPtr->channel(i).onMode();
        if (onMode == 1 || onMode == 2) {
          sumSM  += beta * (1. + 2. * mr);
          sumInt += beta * eDgv[min(idAbs, 9)] * (1. + 2. * mr);
          sumKK  += beta * (pow2(eDgv[min(idAbs, 9)]) * (1. + 2.*mr)
                          + pow2(eDga[min(idAbs, 9)]) * (1. - 4.*mr));
        }
      }
    }
  }

  // Set up Breit-Wigner. Width out only includes open channels.
  sigSM  = widthIn * 12. * M_PI *  widthOut / sH2;
  sigInt = 2. * sigSM * sH * (sH - m2Res)
         / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  sigKK  = sigSM * sH2 / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );

  // Optionally only keep g* or gKK term.
  if (interfMode == 1) {sigInt = 0.; sigKK = 0.;}
  if (interfMode == 2) {sigSM  = 0.; sigInt = 0.;}

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part dependent of incoming flavour.

double Sigma1qqbar2KKgluonStar::sigmaHat() {

  // RS graviton coupling.
  double sigma = sigSM * sumSM
               + eDgv[min(abs(id1), 9)] * sigInt * sumInt
               + ( pow2(eDgv[min(abs(id1), 9)])
                 + pow2(eDga[min(abs(id1), 9)]) ) * sigKK * sumKK;

  return sigma;
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1qqbar2KKgluonStar::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idKKgluon);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 2);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for KK-gluon* decay angle (based on ffbar2gmZ).
  
double Sigma1qqbar2KKgluonStar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // g* should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Couplings for in- and out-flavours (alpS already included).
  int idInAbs  = process[3].idAbs();
  double vi    = eDgv[min(idInAbs, 9)];
  double ai    = eDga[min(idInAbs, 9)];
  int idOutAbs = process[6].idAbs();
  double vf    = eDgv[min(idOutAbs, 9)];
  double af    = eDga[min(idOutAbs, 9)];

  // Phase space factors. (One power of beta left out in formulae.)
  double mf    = process[6].m();
  double mr    = mf*mf / sH;
  double betaf = sqrtpos(1. - 4. * mr);

  // Coefficients of angular expression.
  double coefTran = sigSM + vi * sigInt * vf
    + (vi*vi + ai*ai) * sigKK * (vf*vf + pow2(betaf) * af*af);
  double coefLong = 4. * mr * ( sigSM + vi * sigInt * vf
                              + (vi*vi + ai*ai) * sigKK * vf*vf );
  double coefAsym = betaf * ( ai * sigInt * af
    + 4. * vi * ai * sigKK * vf * af );

  // Flip asymmetry for in-fermion + out-antifermion.
  if (process[3].id() * process[6].id() < 0) coefAsym = -coefAsym;

  // Reconstruct decay angle and weight for it.
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);
  double wtMax = 2. * (coefTran + abs(coefAsym));
  double wt    = coefTran * (1. + pow2(cosThe))
     + coefLong * (1. - pow2(cosThe)) + 2. * coefAsym * cosThe;

  // Done.
  return (wt / wtMax);
}

//==========================================================================

// Sigma2gg2GravitonStarg class.
// Cross section for g g -> G* g (excited graviton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2GravitonStarg::initProc() {

  // Store G* mass and width for propagator.
  idGstar  = 5100039;
  mRes     = particleDataPtr->m0(idGstar);
  GammaRes = particleDataPtr->mWidth(idGstar);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Overall coupling strength kappa * m_G*.
  kappaMG  = settingsPtr->parm("ExtraDimensionsG*:kappaMG");

   // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idGstar);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2gg2GravitonStarg::sigmaKin() {

  //  Evaluate cross section. Secondary width for G*.
  sigma = (3. * pow2(kappaMG) * alpS) / (32. * sH * m2Res)
    * ( pow2(tH2 + tH * uH + uH2) / (sH2 * tH * uH)
    + 2. * (tH2 / uH + uH2 / tH) / sH + 3. * (tH / uH + uH / tH)
    + 2. * (sH / uH + sH/tH) + sH2 / (tH * uH) );
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2GravitonStarg::setIdColAcol() {

  // Flavours trivial.
  setId( 21, 21, idGstar, 21);

  // Colour flow topologies: random choice between two mirrors.
  if (rndmPtr->flat() < 0.5) setColAcol( 1, 2, 2, 3, 0, 0, 1, 3);
  else                    setColAcol( 1, 2, 3, 1, 0, 0, 3, 2);

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles: currently G* assumed isotropic.
  
double Sigma2gg2GravitonStarg::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // No equations for G* decay so assume isotropic.
  return 1.;

}

//==========================================================================

// Sigma2qg2GravitonStarq class.
// Cross section for q g -> G* q (excited graviton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2GravitonStarq::initProc() {

  // Store G* mass and width for propagator.
  idGstar  = 5100039;
  mRes     = particleDataPtr->m0(idGstar);
  GammaRes = particleDataPtr->mWidth(idGstar);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Overall coupling strength kappa * m_G*.
  kappaMG  = settingsPtr->parm("ExtraDimensionsG*:kappaMG");

   // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idGstar);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qg2GravitonStarq::sigmaKin() {

  //  Evaluate cross section. Secondary width for G*.
  sigma = -(pow2(kappaMG) * alpS) / (192. * sH * m2Res )
    * ( 4. * (sH2 + uH2) / (tH * sH) + 9. * (sH + uH) / sH + sH / uH
    + uH2 / sH2 + 3. * tH * (4. + sH / uH + uH / sH) / sH
    + 4. * tH2 * (1. / uH + 1. / sH) / sH + 2. * tH2 * tH / (uH * sH2) );
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2GravitonStarq::setIdColAcol() {

  // Flavour set up for q g -> H q.
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, idGstar, idq);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles: currently G* assumed isotropic.
  
double Sigma2qg2GravitonStarq::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // No equations for G* decay so assume isotropic.
  return 1.;

}

//==========================================================================

// Sigma2qqbar2GravitonStarg class.
// Cross section for q qbar -> G* g (excited graviton state).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2GravitonStarg::initProc() {

  // Store G* mass and width for propagator.
  idGstar  = 5100039;
  mRes     = particleDataPtr->m0(idGstar);
  GammaRes = particleDataPtr->mWidth(idGstar);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Overall coupling strength kappa * m_G*.
  kappaMG  = settingsPtr->parm("ExtraDimensionsG*:kappaMG");

   // Secondary open width fraction.
  openFrac = particleDataPtr->resOpenFrac(idGstar);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma2qqbar2GravitonStarg::sigmaKin() {

  // Evaluate cross section. Secondary width for G*.
  sigma = (pow2(kappaMG) * alpS) / (72. * sH * m2Res)
    * ( 4. * (tH2 + uH2) / sH2 + 9. * (tH + uH) / sH
    + (tH2 / uH + uH2 / tH) / sH + 3. * (4. + tH / uH + uH/ tH)
    + 4. * (sH / uH + sH / tH) + 2. * sH2 / (tH * uH) );
  sigma *= openFrac;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2GravitonStarg::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idGstar, 21);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 0, 0, 1, 2);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles: currently G* assumed isotropic.
  
double Sigma2qqbar2GravitonStarg::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // No equations for G* decay so assume isotropic.
  return 1.;

}

//==========================================================================

// NOAM: Sigma2ffbar2TEVffbar class.
// Cross section for, f fbar -> gammaKK/ZKK -> F Fbar.
// Process provided by N. Hod et al. and is described in arXiv:XXXX.YYYY

//--------------------------------------------------------------------------

// Initialize process.

void Sigma2ffbar2TEVffbar::initProc() {

  // Process name.
  if (idNew == 1) nameSave = "f fbar -> d dbar (s-channel gamma_KK/Z_KK)";
  if (idNew == 2) nameSave = "f fbar -> u ubar (s-channel gamma_KK/Z_KK)";
  if (idNew == 3) nameSave = "f fbar -> s sbar (s-channel gamma_KK/Z_KK)";
  if (idNew == 4) nameSave = "f fbar -> c cbar (s-channel gamma_KK/Z_KK)";
  if (idNew == 5) nameSave = "f fbar -> b bbar (s-channel gamma_KK/Z_KK)";
  if (idNew == 6) nameSave = "f fbar -> t tbar (s-channel gamma_KK/Z_KK)";
  if (idNew == 11) nameSave = "f fbar -> e+ e- (s-channel gamma_KK/Z_KK)";
  if (idNew == 12) nameSave = "f fbar -> nue nuebar (s-channel gamma_KK/Z_KK)";
  if (idNew == 13) nameSave = "f fbar -> mu+ mu- (s-channel gamma_KK/Z_KK)";
  if (idNew == 14) nameSave
    = "f fbar -> numu numubar (s-channel gamma_KK/Z_KK)";
  if (idNew == 15) nameSave = "f fbar -> tau+ tau- (s-channel gamma_KK/Z_KK)";
  if (idNew == 16) nameSave
    = "f fbar -> nutau nutaubar (s-channel gamma_KK/Z_KK)";

  // Allow to pick only gamma* or Z0 part of full gamma*/Z0 expression.
  gmZmode = settingsPtr->mode("ExtraDimensionsTEV:gmZmode");
  
  // Pick number of KK excitations
  nexcitationmax  = (int)settingsPtr->parm("ExtraDimensionsTEV:nMax");
  
  // Initialize the widths of the KK propogators.
  // partial width of the KK photon
  wgmKKFactor = 0.;
  // total width of the KK photon
  wgmKKn      = 0.;
  // will be proportional to "wZ0" + ttbar addition
  wZKKn       = 0.;

  // Store Z0 mass and width for propagator.
  wZ0 = particleDataPtr->mWidth(23);
  mRes  = particleDataPtr->m0(23);
  m2Res = mRes*mRes;

  // Store the top mass for the ttbar width calculations
  mTop  = particleDataPtr->m0(6);
  m2Top = mTop*mTop;

  // Store the KK mass parameter, equivalent to the mass of the first KK
  // excitation: particleDataPtr->m0(5000023);
  mStar = (double)settingsPtr->parm("ExtraDimensionsTEV:mStar");
  
  // Get alphaEM - relevant for the calculation of the widths
  alphaemfixed = settingsPtr->parm("StandardModel:alphaEM0");
  
  // initialize imaginari number
  mI = complex(0.,1.);

  // Sum all partial widths of the KK photon except for the ttbar channel
  // which is handeled afterwards seperately
  if (gmZmode>=0 && gmZmode<=5) {
    for (int i=1 ; i<17 ; i++) {
      if (i==7) { i=11; }
      // skip the ttbar decay and add its contribution later
      if (i==6) { continue; }
      if (i<9) {
        wgmKKFactor += ( (alphaemfixed / 6.) * 4.
                    * couplingsPtr->ef(i) * couplingsPtr->ef(i) * 3. );
      }
      else {
        wgmKKFactor += (alphaemfixed / 6.) * 4.
                    * couplingsPtr->ef(i) * couplingsPtr->ef(i);
      }
    }
  }
  
  // Get the helicity-couplings of the Z0 to all the fermions except top
  gMinusF  = ( couplingsPtr->t3f(idNew) - couplingsPtr->ef(idNew)
           * couplingsPtr->sin2thetaW() )
           / sqrt( couplingsPtr->sin2thetaW()*couplingsPtr->cos2thetaW() );
  gPlusF   = -1. * couplingsPtr->ef(idNew) * couplingsPtr->sin2thetaW()
           / sqrt( couplingsPtr->sin2thetaW() * couplingsPtr->cos2thetaW() );
  // Get the helicity-couplings of the Z0 to the top quark
  gMinusTop  = ( couplingsPtr->t3f(6) - couplingsPtr->ef(6)
             * couplingsPtr->sin2thetaW() )
             / sqrt( couplingsPtr->sin2thetaW()*couplingsPtr->cos2thetaW() );

  gPlusTop   = -1. * couplingsPtr->ef(6) * couplingsPtr->sin2thetaW()
             / sqrt( couplingsPtr->sin2thetaW() * couplingsPtr->cos2thetaW() );
  // calculate the constant factor of the unique ttbar decay width
  ttbarwFactorA = pow2(gMinusTop) + pow2(gPlusTop);
  ttbarwFactorB = 6.*gMinusTop*gPlusTop - pow2(gMinusTop) - pow2(gPlusTop);

  // Secondary open width fraction, relevant for top (or heavier).
  openFracPair = 1.;
  if ((idNew >=6 && idNew <=8) || idNew == 17 || idNew == 18)
    openFracPair = particleDataPtr->resOpenFrac(idNew, -idNew);

}

//--------------------------------------------------------------------------

// For improving the phase-space sampling (there can be 2 resonances)

int Sigma2ffbar2TEVffbar::resonanceB() {

  return 23;

}

//--------------------------------------------------------------------------

// For improving the phase-space sampling (there can be 2 resonances)

int Sigma2ffbar2TEVffbar::resonanceA() {

  if (gmZmode>=3) {
    phaseSpacemHatMin  = settingsPtr->parm("PhaseSpace:mHatMin");
    phaseSpacemHatMax  = settingsPtr->parm("PhaseSpace:mHatMax");
    double mResFirstKKMode = sqrt(pow2(particleDataPtr->m0(23)) + pow2(mStar));
    if (mResFirstKKMode/2. <= phaseSpacemHatMax
        || 3*mResFirstKKMode/2. >= phaseSpacemHatMin) { return 5000023; }
    else { return 23; }
  // no KK terms at all
  } else { return 23; }

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2ffbar2TEVffbar::sigmaKin() {

  // Check that above threshold.
  isPhysical     = true;
  if (mH < m3 + m4 + MASSMARGIN) {
    isPhysical   = false;
    return;
  }

  // Define average F, Fbar mass so same beta. Phase space.
  double s34Avg  = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  mr             = s34Avg / sH;
  betaf          = sqrtpos(1. - 4. * mr);

  // Reconstruct decay angle so can reuse 2 -> 1 cross section.
  cosThe         = (tH - uH) / (betaf * sH);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2ffbar2TEVffbar::sigmaHat() {

  // Fail if below threshold.
  if (!isPhysical) return 0.;

  // Couplings for in/out-flavours.
  int idAbs = abs(id1);

  // The couplings of the Z0 to the fermions for in/out flavors
  gMinusf  = ( couplingsPtr->t3f(idAbs) - couplingsPtr->ef(idAbs)
               * couplingsPtr->sin2thetaW() )
           / sqrt( couplingsPtr->sin2thetaW()*couplingsPtr->cos2thetaW() );
  gPlusf   = -1. * couplingsPtr->ef(idAbs)*couplingsPtr->sin2thetaW()
           / sqrt( couplingsPtr->sin2thetaW()*couplingsPtr->cos2thetaW() );

  // Initialize the some values
  helicityME2 = 0.;
  coefAngular = 0.;
  gf=0.;
  gF=0.;
  gammaProp = complex(0.,0.);
  resProp   = complex(0.,0.);
  gmPropKK  = complex(0.,0.);
  ZPropKK   = complex(0.,0.);
  totalProp = complex(0.,0.);

  // Sum all initial and final helicity states this corresponds to an
  // unpolarized beams and unmeasured polarization final-state
  for (double helicityf=-0.5 ; helicityf<=0.5 ; helicityf++) {
    for (double helicityF=-0.5 ; helicityF<=0.5 ; helicityF++) {
          // the couplings for the initial-final helicity configuration
      gF = (helicityF == +0.5) ? gMinusF : gPlusF;
      gf = (helicityf == +0.5) ? gMinusf : gPlusf;
      // 0=SM gmZ,  1=SM gm,  2=SM Z,  3=SM+KK gmZ,  4=KK gm,  5=KK Z
      switch(gmZmode) {
        // SM photon and Z0 only
        case 0:
          gammaProp = couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew)/sH;
          resProp   = gf*gF/( sH - m2Res + mI*sH*(wZ0/mRes) );
          break;
        // SM photon only
        case 1:
          gammaProp = couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew)/sH;
          break;
        // SM Z0 only
        case 2:
          resProp   = gf*gF/( sH - m2Res + mI*sH*(wZ0/mRes) );
          break;
        // KK photon and Z
        case 3:
          gammaProp = couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew)/sH;
          resProp   = gf*gF/( sH - m2Res + mI*sH*(wZ0/mRes) );
          ZPropKK   = complex(0.,0.);
          gmPropKK  = complex(0.,0.);
                  // Sum all KK excitations contributions
          for(int nexcitation = 1; nexcitation <= nexcitationmax;
            nexcitation++) {
            mZKKn   = sqrt(m2Res + pow2(mStar * nexcitation));
            m2ZKKn  = m2Res + pow2(mStar * nexcitation);
            mgmKKn  = mStar * nexcitation;
            m2gmKKn = (mStar*nexcitation)*(mStar*nexcitation);
            // calculate the width of the n'th excitation of the KK Z
            // (proportional to the Z0 width + ttbar partial width)
            ttbarwZKKn = 2.*(alphaemfixed*3./6.)*mZKKn
                        * sqrt(1.-4.*m2Top/m2ZKKn)
                        * (ttbarwFactorA+(m2Top/m2ZKKn)*ttbarwFactorB);
            wZKKn       = 2.*wZ0*mZKKn/mRes+ttbarwZKKn;
            // calculate the width of the n'th excitation of the
            // KK photon
            ttbarwgmKKn = 2.*(alphaemfixed*3./6.)*mgmKKn
                        * sqrt(1.-4.*m2Top/m2gmKKn)
                        * 2.*pow2(couplingsPtr->ef(6))*(1.+2.*(m2Top/m2gmKKn));
            wgmKKn       = wgmKKFactor*mgmKKn+ttbarwgmKKn;
            // the propogators
            gmPropKK += (2.*couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew))
                      / (sH-m2gmKKn+mI*sH*wgmKKn/mgmKKn);
            ZPropKK  += (2.*gf*gF)/(sH-m2ZKKn+mI*sH*wZKKn/mZKKn );
          }
          break;
        // SM photon and Z0 with KK photon only
        case 4:
          gammaProp = couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew)/sH;
          resProp   = gf*gF/( sH - m2Res + mI*sH*(wZ0/mRes) );
          gmPropKK  = complex(0.,0.);
          for (int nexcitation = 1; nexcitation <= nexcitationmax;
            nexcitation++ ) {
            mgmKKn  = mStar * nexcitation;
            m2gmKKn = (mStar*nexcitation)*(mStar*nexcitation);

            ttbarwgmKKn = 2.*(alphaemfixed*3./6.)*mgmKKn
                        * sqrt(1.-4.*m2Top/m2gmKKn)
                        * 2.*pow2(couplingsPtr->ef(6))
                        * (1.+2.*(m2Top/m2gmKKn));
            wgmKKn         = wgmKKFactor*mgmKKn+ttbarwgmKKn;
            gmPropKK += (2.*couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew))
                      / (sH-m2gmKKn+mI*sH*wgmKKn/mgmKKn);
          }
          break;
        // SM photon and Z0 with KK Z only
        case 5:
          gammaProp = couplingsPtr->ef(idAbs)*couplingsPtr->ef(idNew)/sH;
          resProp   = gf*gF/( sH - m2Res + mI*sH*(wZ0/mRes) );
          ZPropKK   = complex(0.,0.);
          for (int nexcitation = 1; nexcitation <= nexcitationmax;
            nexcitation++ ) {
            mZKKn   = sqrt(m2Res + pow2(mStar * nexcitation));
            m2ZKKn  = m2Res + pow2(mStar * nexcitation);

            ttbarwZKKn = 2.*(alphaemfixed*3./6.)*mZKKn
                          * sqrt(1.-4.*m2Top/m2ZKKn)
                          * (ttbarwFactorA+(m2Top/m2ZKKn)*ttbarwFactorB);
            wZKKn       = 2.*wZ0*mZKKn/mRes+ttbarwZKKn;
            ZPropKK    += (2.*gf*gF)/(sH-m2ZKKn+mI*sH*wZKKn/mZKKn );
          }
          break;
        default: break;
      // end run over initial and final helicity states
      }
          
          // sum all contributing amplitudes
      totalProp = gammaProp + resProp + ZPropKK + gmPropKK;
          
          // angular distribution for the helicity configuration
      coefAngular = 1. + 4. * helicityF * helicityf * cosThe;
          
          // the squared helicity matrix element
      helicityME2 += real(totalProp*conj(totalProp))*pow2(coefAngular);
    }
  }

  // calculate the coefficient of the squared helicity matrix element.
  coefTot = (2./sH) * 2*M_PI * pow2(alpEM)/(4.*sH) * pow2(sH)/4.;

  // the full squared helicity matrix element.
  double sigma = helicityME2 * coefTot;

  // Top: corrections for closed decay channels.
  sigma *= openFracPair;

  // Initial-state colour factor. Answer.
  if (idAbs < 9) sigma /= 3.;

  // Final-state colour factor. Answer.
  if (idNew < 9) sigma *= 3.*(1.+alpS/M_PI);

  return sigma;
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2TEVffbar::setIdColAcol() {

  // Set outgoing flavours.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9 && idNew < 9) setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  else if (abs(id1) < 9)         setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else if (idNew < 9)            setColAcol( 0, 0, 0, 0, 1, 0, 0, 1);
  else                           setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles of W in top decay.

double Sigma2ffbar2TEVffbar::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // For top decay hand over to standard routine, else done.
  if (idNew == 6 && process[process[iResBeg].mother1()].idAbs() == 6)
       return weightTopDecay( process, iResBeg, iResEnd);
  else return 1.;

}
                
//==========================================================================

// Sigma2gg2LEDUnparticleg class.
// Cross section for g g -> U/G g (real graviton emission in
// large extra dimensions or unparticle emission).

//--------------------------------------------------------------------------

void Sigma2gg2LEDUnparticleg::initProc() {
  
  // Init model parameters.
  eDidG    = 5000039;
  if (eDgraviton) {
    eDspin     = (settingsPtr->flag("ExtraDimensionsLED:GravScalar")) ? 0 : 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 0.5 * eDnGrav + 1;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:MD");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
    eDcf       = settingsPtr->parm("ExtraDimensionsLED:c");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsUnpart:CutOffMode");
  }
  
  // The A(dU) or S'(n) value.
  double tmpAdU = 0;
  if (eDgraviton) {
    tmpAdU  = 2 * M_PI * sqrt( pow(M_PI, double(eDnGrav)) )
            / GammaReal(0.5 * eDnGrav);
    if (eDspin == 0) {  // Scalar graviton
      tmpAdU *= sqrt( pow(2., double(eDnGrav)) );
      eDcf   *= eDcf;
    }
  } else {
    tmpAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
  }

  // Cross section related constants
  // and ME dependent powers of lambda / LambdaU.
  double tmpExp   = eDdU - 2;
  double tmpLS    = pow2(eDLambdaU);
  eDconstantTerm = tmpAdU / (2 * 16 * pow2(M_PI) * tmpLS * pow(tmpLS,tmpExp));
  if (eDgraviton) {
    eDconstantTerm /= tmpLS;
  } else if (eDspin == 0) {
    eDconstantTerm *= pow2(eDlambda) / tmpLS;
  } else {
    eDconstantTerm = 0;
    infoPtr->errorMsg("Error in Sigma2gg2LEDUnparticleg::initProc: "
                      "Incorrect spin value (turn process off)!");
  }

}

//--------------------------------------------------------------------------

void Sigma2gg2LEDUnparticleg::sigmaKin() {

  // Set graviton mass.
  mG        = m3;
  mGS       = mG*mG;

  // Set mandelstam variables and ME expressions.
  if (eDgraviton) {

    double A0 = 1/sH;
    if (eDspin == 0) {  // Scalar graviton
      double tmpTerm1 = uH + tH;
      double tmpTerm2 = uH + sH;
      double tmpTerm3 = tH + sH;
      double T0 = pow(tmpTerm1,4) + pow(tmpTerm2,4) + pow(tmpTerm3,4)
                + 12. * sH * tH * uH * mGS;
      eDsigma0 = eDcf * A0 * T0 / (sH2 * tH * uH);
    } else {
      double xH = tH/sH;
      double yH = mGS/sH;
      double xHS = pow2(xH);
      double yHS = pow2(yH);
      double xHC = pow(xH,3);
      double yHC = pow(yH,3);
      double xHQ = pow(xH,4);
      double yHQ = pow(yH,4);
      
      double T0 = 1/(xH*(yH-1-xH));
      double T1 = 1 + 2*xH + 3*xHS + 2*xHC + xHQ;
      double T2 = -2*yH*(1 + xHC);
      double T3 = 3*yHS*(1 + xHS);
      double T4 = -2*yHC*(1 + xH);
      double T5 = yHQ;
      
      eDsigma0 = A0 * T0 *( T1 + T2 + T3 + T4 + T5 );
    }

  } else if (eDspin == 0) {
    
    double A0  = 1/pow2(sH);
    double sHQ = pow(sH,4);
    double tHQ = pow(tH,4);
    double uHQ = pow(uH,4);

    eDsigma0 = A0 * (pow(mGS,4) + sHQ + tHQ + uHQ) / (sH * tH * uH);

  }

  // Mass measure, (m^2)^(d-2).
  double tmpExp = eDdU - 2;
  eDsigma0 *= pow(mGS, tmpExp);

  // Constants.
  eDsigma0 *= eDconstantTerm;

}

//--------------------------------------------------------------------------

double Sigma2gg2LEDUnparticleg::sigmaHat() {

  // Mass spectrum weighting.
  double sigma = eDsigma0 / runBW3;

  // SM couplings...
  if (eDgraviton) {
    sigma *= 16 * M_PI * alpS * 3 / 16;
  } else if (eDspin == 0) {
    sigma *= 6 * M_PI * alpS;
  }

  // Truncate sH region or use form factor.
  // Form factor uses either pythia8 renormScale2
  // or E_jet in cms.
  if (eDcutoff == 1) {
    if (sH > pow2(eDLambdaU) ) { sigma *= pow(eDLambdaU,4)/pow2(sH); }
  } else if ( (eDgraviton && (eDspin == 2))
           && ((eDcutoff == 2) || (eDcutoff == 3)) ) {
    double tmPmu = sqrt(Q2RenSave);
    if (eDcutoff == 3) tmPmu = (sH + s4 - s3) / (2 * mH);
    double tmPformfact = tmPmu / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    sigma *= 1 / (1 + pow(tmPformfact, tmPexp));
  }
  
  return sigma;
}

//--------------------------------------------------------------------------

void Sigma2gg2LEDUnparticleg::setIdColAcol() {

 // Flavours trivial.
  setId( 21, 21, eDidG, 21);

  // Colour flow topologies: random choice between two mirrors.
  if (rndmPtr->flat() < 0.5) setColAcol( 1, 2, 2, 3, 0, 0, 1, 3);
  else                    setColAcol( 1, 2, 3, 1, 0, 0, 3, 2);

}

//==========================================================================

// Sigma2qg2LEDUnparticleq class.
// Cross section for q g -> U/G q (real graviton emission in
// large extra dimensions or unparticle emission).

//--------------------------------------------------------------------------

void Sigma2qg2LEDUnparticleq::initProc() {
  
  // Init model parameters.
  eDidG    = 5000039;
  if (eDgraviton) {
    eDspin     = (settingsPtr->flag("ExtraDimensionsLED:GravScalar")) ? 0 : 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 0.5 * eDnGrav + 1;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:MD");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
    eDgf       = settingsPtr->parm("ExtraDimensionsLED:g");
    eDcf       = settingsPtr->parm("ExtraDimensionsLED:c");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsUnpart:CutOffMode");
  }

  // The A(dU) or S'(n) value.
  double tmpAdU = 0;
  if (eDgraviton) {
    tmpAdU  = 2 * M_PI * sqrt( pow(M_PI, double(eDnGrav)) )
            / GammaReal(0.5 * eDnGrav);
    // Scalar graviton
    if (eDspin == 0) {
      tmpAdU *= 2. * sqrt( pow(2., double(eDnGrav)) );
      eDcf   *= 4. * eDcf / pow2(eDLambdaU);
      double tmpExp = 2. * double(eDnGrav) / (double(eDnGrav) + 2.);
      eDgf   *= eDgf / pow(2. * M_PI, tmpExp);
    }
  } else {
    tmpAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
  }

  // Cross section related constants
  // and ME dependent powers of lambda / LambdaU.
  double tmpExp   = eDdU - 2;
  double tmpLS    = pow2(eDLambdaU);
  eDconstantTerm = tmpAdU / (2 * 16 * pow2(M_PI) * tmpLS * pow(tmpLS,tmpExp));
  if (eDgraviton && (eDspin == 2)) {
    eDconstantTerm /= tmpLS;
  } else if (eDspin == 1) {
    eDconstantTerm *= pow2(eDlambda);
  } else if (eDspin == 0) {
    eDconstantTerm *= pow2(eDlambda);
  } else {
    eDconstantTerm = 0;
    infoPtr->errorMsg("Error in Sigma2qg2LEDUnparticleq::initProc: "
                      "Incorrect spin value (turn process off)!");
  }


}

//--------------------------------------------------------------------------

void Sigma2qg2LEDUnparticleq::sigmaKin() {

  // Set graviton mass.
  mG        = m3;
  mGS       = mG*mG;

  // Set mandelstam variables and ME expressions.
  if (eDgraviton) {

    double A0 = 1/sH;
    // Scalar graviton
    if (eDspin == 0) {
      A0 /= sH;
      double T0 = -(uH2 + pow2(mGS)) / (sH * tH);
      double T1 = -(tH2 + sH2)/ uH;
      eDsigma0 = A0 * (eDgf * T0 + eDcf * T1);
    } else {
      double xH = tH/sH;
      double yH = mGS/sH;
      double x2H = xH/(yH - 1 - xH);
      double y2H = yH/(yH - 1 - xH);
      double x2HS = pow2(x2H);
      double y2HS = pow2(y2H);
      double x2HC = pow(x2H,3);
      double y2HC = pow(y2H,3);
      
      double T0 = -(yH - 1 - xH);
      double T20 = 1/(x2H*(y2H-1-x2H));
      double T21 = -4*x2H*(1 + x2H)*(1 + 2*x2H + 2*x2HS);
      double T22 = y2H*(1 + 6*x2H + 18*x2HS + 16*x2HC);
      double T23 = -6*y2HS*x2H*(1+2*x2H);
      double T24 = y2HC*(1 + 4*x2H);
      
      eDsigma0 = A0 * T0 * T20 * ( T21 + T22 + T23 + T24 );
    }

  } else if (eDspin == 1) {
    
    double A0  = 1/pow2(sH);
    double tmpTerm1 = tH - mGS;
    double tmpTerm2 = sH - mGS;

    eDsigma0 = A0 * (pow2(tmpTerm1) + pow2(tmpTerm2)) / (sH*tH);

  } else if (eDspin == 0) {
    
    double A0  = 1/pow2(sH);
    // Sign correction by Tom
    eDsigma0 = A0 * (pow2(tH) + pow2(mGS)) / (sH*uH);

  }

  // Mass measure, (m^2)^(d-2).
  double tmpExp = eDdU - 2;
  eDsigma0 *= pow(mGS, tmpExp);

  // Constants.
  eDsigma0 *= eDconstantTerm;

}

//--------------------------------------------------------------------------

double Sigma2qg2LEDUnparticleq::sigmaHat() {

  // Mass spactrum weighting.
  double sigma = eDsigma0 /runBW3;

  // SM couplings...
  if (eDgraviton) {
    sigma *= 16 * M_PI * alpS / 96;
  } else if (eDspin == 1) {
    sigma *= - 4 * M_PI * alpS / 3;
  } else if (eDspin == 0) {
    sigma *= - 2 * M_PI * alpS / 3;
  }

  // Truncate sH region or use form factor.
  // Form factor uses either pythia8 renormScale2
  // or E_jet in cms.
  if (eDcutoff == 1) {
    if (sH > pow2(eDLambdaU) ) { sigma *= pow(eDLambdaU,4)/pow2(sH); }
  } else if ( (eDgraviton && (eDspin == 2))
           && ((eDcutoff == 2) || (eDcutoff == 3)) ) {
    double tmPmu = sqrt(Q2RenSave);
    if (eDcutoff == 3) tmPmu = (sH + s4 - s3) / (2 * mH);
    double tmPformfact = tmPmu / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    sigma *= 1 / (1 + pow(tmPformfact, tmPexp));
  }
  
  return sigma;
}

//--------------------------------------------------------------------------

void Sigma2qg2LEDUnparticleq::setIdColAcol() {

  // Flavour set up for q g -> G* q.
  int idq = (id2 == 21) ? id1 : id2;
  setId( id1, id2, eDidG, idq);

  // tH defined between f and f': must swap tHat <-> uHat if q g in.
  swapTU = (id2 == 21);

  // Colour flow topologies. Swap when antiquarks.
  if (id2 == 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else           setColAcol( 2, 1, 1, 0, 0, 0, 2, 0);
  if (idq < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2LEDUnparticleg class.
// Cross section for q qbar -> U/G g (real graviton emission in
// large extra dimensions or unparticle emission).

//--------------------------------------------------------------------------

void Sigma2qqbar2LEDUnparticleg::initProc() {
  
  // Init model parameters.
  eDidG    = 5000039;
  if (eDgraviton) {
    eDspin     = (settingsPtr->flag("ExtraDimensionsLED:GravScalar")) ? 0 : 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 0.5 * eDnGrav + 1;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:MD");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
    eDgf       = settingsPtr->parm("ExtraDimensionsLED:g");
    eDcf       = settingsPtr->parm("ExtraDimensionsLED:c");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsUnpart:CutOffMode");
  }

  // The A(dU) or S'(n) value.
  double tmpAdU = 0;
  if (eDgraviton) {
    tmpAdU  = 2 * M_PI * sqrt( pow(M_PI, double(eDnGrav)) )
            / GammaReal(0.5 * eDnGrav);
    // Scalar graviton
    if (eDspin == 0) {
      tmpAdU *= 2. * sqrt( pow(2., double(eDnGrav)) );
      eDcf   *= 4. * eDcf / pow2(eDLambdaU);
      double tmpExp = 2. * double(eDnGrav) / (double(eDnGrav) + 2.);
      eDgf   *= eDgf / pow(2. * M_PI, tmpExp);
    }
  } else {
    tmpAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
  }

  // Cross section related constants
  // and ME dependent powers of lambda / LambdaU.
  double tmpExp   = eDdU - 2;
  double tmpLS    = pow2(eDLambdaU);
  eDconstantTerm = tmpAdU / (2 * 16 * pow2(M_PI) * tmpLS * pow(tmpLS,tmpExp));
  if (eDgraviton && (eDspin == 2)) {
    eDconstantTerm /= tmpLS;
  } else if (eDspin == 1) {
    eDconstantTerm *= pow2(eDlambda);
  } else if (eDspin == 0) {
    eDconstantTerm *= pow2(eDlambda);
  } else {
    eDconstantTerm = 0;
    infoPtr->errorMsg("Error in Sigma2qqbar2LEDUnparticleg::initProc: "
                      "Incorrect spin value (turn process off)!");
  }

}

//--------------------------------------------------------------------------

void Sigma2qqbar2LEDUnparticleg::sigmaKin() {

  // Set graviton mass.
  mG        = m3;
  mGS       = mG*mG;

  // Set mandelstam variables and ME expressions.
  if (eDgraviton) {

    double A0 = 1/sH;
    // Scalar graviton
    if (eDspin == 0) {
      A0 /= sH;
      double tmpTerm1 = uH + tH;
      double T0 = (2. * mGS * sH + pow2(tmpTerm1)) / (uH * tH);
      double T1 = (tH2 + uH2) / sH;
      eDsigma0 = A0 * (eDgf * T0 + eDcf * T1);
    } else {
      double xH = tH/sH;
      double yH = mGS/sH;
      double xHS = pow2(xH);
      double yHS = pow2(yH);
      double xHC = pow(xH,3);
      double yHC = pow(yH,3);
      
      double T0 = 1/(xH*(yH-1-xH));
      double T1 = -4*xH*(1 + xH)*(1 + 2*xH + 2*xHS);
      double T2 = yH*(1 + 6*xH + 18*xHS + 16*xHC);
      double T3 = -6*yHS*xH*(1+2*xH);
      double T4 = yHC*(1 + 4*xH);
      
      eDsigma0 = A0 * T0 *( T1 + T2 + T3 + T4 );
    }

  } else if (eDspin == 1) {
    
    double A0  = 1/pow2(sH);
    double tmpTerm1 = tH - mGS;
    double tmpTerm2 = uH - mGS;

    eDsigma0 = A0 * (pow2(tmpTerm1) + pow2(tmpTerm2)) / (tH * uH);
    
  } else if (eDspin == 0) {
    
    double A0  = 1/pow2(sH);
    
    eDsigma0 = A0 * (pow2(sH) - pow2(mGS)) / (tH * uH);
    
  }

  // Mass measure, (m^2)^(d-2).
  double tmpExp = eDdU - 2;
  eDsigma0 *= pow(mGS, tmpExp);

  // Constants.
  eDsigma0 *= eDconstantTerm;

}

//--------------------------------------------------------------------------

double Sigma2qqbar2LEDUnparticleg::sigmaHat() {

  // Mass spactrum weighting.
  double sigma = eDsigma0 /runBW3;

  // SM couplings...
  if (eDgraviton) {
    sigma *= 16 * M_PI * alpS / 36;
  } else if (eDspin == 1) {
    sigma *= 4 * M_PI * 8 * alpS / 9;
  } else if (eDspin == 0) {
    sigma *= 4 * M_PI * 4 * alpS / 9;
  }

  // Truncate sH region or use form factor.
  // Form factor uses either pythia8 renormScale2
  // or E_jet in cms.
  if (eDcutoff == 1) {
    if (sH > pow2(eDLambdaU) ) { sigma *= pow(eDLambdaU,4)/pow2(sH); }
  } else if ( (eDgraviton && (eDspin == 2))
           && ((eDcutoff == 2) || (eDcutoff == 3)) ) {
    double tmPmu = sqrt(Q2RenSave);
    if (eDcutoff == 3) tmPmu = (sH + s4 - s3) / (2 * mH);
    double tmPformfact = tmPmu / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    sigma *= 1 / (1 + pow(tmPformfact, tmPexp));
  }
  
  return sigma;
}

//--------------------------------------------------------------------------

void Sigma2qqbar2LEDUnparticleg::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, eDidG, 21);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 2, 0, 0, 1, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2LEDUnparticleZ class.
// Cross section for f fbar -> U/G Z (real LED graviton or unparticle
// emission).

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// FIXRATIO:
// Ratio between the two possible coupling constants of the spin-2 ME.
// A value different from one give rise to an IR divergence which makes
// the event generation very slow, so this values is fixed to 1 until
// investigated further.
const double Sigma2ffbar2LEDUnparticleZ::FIXRATIO = 1.;

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDUnparticleZ::initProc() {

  // Init model parameters.
  eDidG        = 5000039;
  if (eDgraviton) {
    eDspin     = 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 0.5 * eDnGrav + 1;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:MD");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDratio    = FIXRATIO;
    //         = settingsPtr->parm("ExtraDimensionsUnpart:ratio");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsUnpart:CutOffMode");
  }

  // Store Z0 mass and width for propagator.
  mZ        = particleDataPtr->m0(23);
  widZ      = particleDataPtr->mWidth(23);
  mZS       = mZ*mZ;
  mwZS      = pow2(mZ * widZ);

  // Init spin-2 parameters
  if ( eDspin != 2 ){
    eDgraviton = false;
    eDlambdaPrime = 0;
  } else if (eDgraviton) {
    eDlambda = 1;
    eDratio = 1;
    eDlambdaPrime = eDlambda;
  } else {
    eDlambdaPrime = eDratio * eDlambda;
  }

  // The A(dU) or S'(n) value
  double tmpAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
    * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));

  if (eDgraviton) {
    tmpAdU  = 2 * M_PI * sqrt( pow(M_PI, double(eDnGrav)) )
            / GammaReal(0.5 * eDnGrav);
  }

  // Standard 2 to 2 cross section related constants
  double tmpTerm1 = 1/(2 * 16 * pow2(M_PI));
  double tmpLS    = pow2(eDLambdaU);

  // Spin dependent constants from ME.
  double tmpTerm2 = 0;
  if ( eDspin == 0 ) {
    tmpTerm2 = 2 * pow2(eDlambda);
  } else if (eDspin == 1) {
    tmpTerm2 = 4 * pow2(eDlambda);
  } else if (eDspin == 2) {
    tmpTerm2 = pow2(eDlambda)/(4 * 3 * tmpLS);
  }

  // Unparticle phase space related
  double tmpExp2 = eDdU - 2;
  double tmpTerm3 = tmpAdU / (tmpLS * pow(tmpLS, tmpExp2));

  // All in total
  eDconstantTerm = tmpTerm1 * tmpTerm2 * tmpTerm3;

}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDUnparticleZ::sigmaKin() {

  // Set graviton mass and some powers of mandelstam variables
  mU        = m3;
  mUS       = mU*mU;

  sHS = pow2(sH);
  tHS = pow2(tH);
  uHS = pow2(uH);
  tHC = pow(tH,3);
  uHC = pow(uH,3);
  tHQ = pow(tH,4);
  uHQ = pow(uH,4);
  tHuH = tH+uH;

  // Evaluate (m**2, t, u) part of differential cross section.
  // Extra 1/sHS comes from standard 2 to 2 cross section
  // phase space factors.

  if ( eDspin == 0 ) {
    
    double A0 = 1/sHS;
    double T1 = - sH/tH - sH/uH;
    double T2 = - (1 - mZS/tH)*(1 - mUS/tH);
    double T3 = - (1 - mZS/uH)*(1 - mUS/uH);
    double T4 = 2*(1 - mUS/tH)*(1 - mUS/uH);

    eDsigma0 = A0 * ( T1 + T2 + T3 + T4);
    
  } else if ( eDspin == 1 ) {
    
    double A0 = 1/sHS;
    double T1 = 0.5 * (tH/uH + uH/tH);
    double T2 =  pow2(mZS + mUS)/(tH * uH);
    double T3 = - 0.5 * mUS * (mZS/tHS + mZS/uHS) ;
    double T4 = - (mZS+mUS)*(1/tH + 1/uH);
    
    eDsigma0 = A0 * ( T1 + T2 + T3 + T4 );

  } else if ( eDspin == 2 ) {

    double A0   = 1 / ( sHS * uHS * tHS * pow2(sH-mZS) );
    double F0 = 2*tHS*uHS*( 16*pow(mZS,3) +  mUS*(7*tHS + 12*tH*uH + 7*uHS)
              - 3*(3*tHC + 11*tHS*uH + 11*tH*uHS + 3*uHC)
              + 6*pow(mZS,2)*(7*mUS - 2*tHuH) + mZS*(14*pow(mUS,2)
              - 15*tHS - 44*tH*uH - 15*uHS + 2*mUS*tHuH) );
    double F2 = 2*tHS*uHS*tHuH*( -8*pow(mZS,2)*tHuH
              + 4*mZS*(tHS + 3*tH*uH + uHS)
              + 3*(tHC + 5*tHS*uH + 5*tH*uHS + uHC) );
    double F4 = -2*tHS*uHS*pow(tHuH,3)*(tHS + uHS - mZS*tHuH);

    double G0 = 4*tH*uH*( 6*pow(mZS,3)*(mUS - tH - uH)*tHuH
              + pow(mZS,2)*( 9*tHC + 7*tHS*uH + 7*tH*uHS + 9*uHC
              + 15*pow2(mUS)*tHuH - 2*mUS*(12*tHS + 19*tH*uH + 12*uHS) )
              + tH*uH*( 6*pow(mUS,3) - 9*pow(mUS,2)*tHuH - mUS*(tHS
              + 12*tH*uH + uHS) + 6*(tHC + 6*tHS*uH + 6*tH*uHS + uHC) )
              + mZS*(-3*tHQ + 25*tHC*uH + 58*tHS*uHS + 25*tH*uHC
              - 3*uHQ + 6*pow(mUS,3)*tHuH
              - pow(mUS,2)*(15*tHS + 2*tH*uH + 15*uHS) + 2*mUS*(6*tHC
              - 11*tHS*uH - 11*tH*uHS + 6*uHC)) );
    double G2 = -4*tHS*uHS*tHuH*( -10*pow2(mZS)*tHuH + 2*mZS*(3*tHS
              + 7*tH*uH + 3*uHS) + 3*(tHC + 5*tHS*uH + 5*tH*uHS + uHC) );
    double G4 = -2*F4;

    double H0 = 24*pow(mZS,3)*tH*uH*pow2(-mUS + tHuH)
              - 6*pow(mZS,2)*tH*uH*( -9*pow(mUS,3) + 24*pow(mUS,2)*tHuH
              - mUS*(21*tHS + 38*tH*uH + 21*uHS)
              + 2*(3*tHC + 5*tHS*uH + 5*tH*uHS + 3*uHC) )
              - mZS*( 3*pow(mUS,4)*(tHS - 12*tH*uH + uHS)
              - 2*tH*uH*pow2(tHuH)*(6*tHS - 29*tH*uH + 6*uHS)
              - 6*pow(mUS,3)*(tHC - 16*tHS*uH - 16*tH*uHS + uHC)
              + 54*mUS*tH*uH*(tHC + tHS*uH + tH*uHS + uHC)
              + pow2(mUS)*(3*tHQ - 102*tHC*uH - 166*tHS*uHS
              - 102*tH*uHC + 3*uHQ) )
              + tH*uH*( 6*pow(mUS,5) - 18*pow(mUS,4)*tHuH
              - 12*pow(mUS,2)*pow(tHuH,3)
              + 3*pow(mUS,3)*(7*tHS + 12*tH*uH + 7*uHS)
              - 18*tH*uH*(tHC + 5*tHS*uH + 5*tH*uHS + uHC)
              + mUS*(3*tHQ + 32*tHC*uH + 78*tHS*uHS + 32*tH*uHC + 3*uHQ) );
    double H2 = 2*tHS*uHS*pow2(tHuH)*( -12*pow2(mZS) + 8*mZS*tHuH
              + 3*(tHS + 4*tH*uH + uHS) );
    double H4 = F4;

    eDsigma0 = A0*( F0 + 1/mUS*F2 + 1/pow2(mUS)*F4
             + eDratio*(G0 + 1/mUS*G2 + 1/pow2(mUS)*G4)
             + pow2(eDratio)*(H0 + 1/mUS*H2 + 1/pow2(mUS)*H4) );

  } else {
    
    eDsigma0 = 0;
  
  }

}

//--------------------------------------------------------------------------

double Sigma2ffbar2LEDUnparticleZ::sigmaHat() {

  // Electroweak couplings.
  int idAbs    = abs(id1);
  // Note: 1/2 * (g_L^2 + g_R^2) = (g_v^2 + g_a^2)
  double facEWS  = 4 * M_PI * alpEM
                   / (couplingsPtr->sin2thetaW() * couplingsPtr->cos2thetaW())
                   * ( 0.25 * 0.25 * couplingsPtr->vf2af2(idAbs) );

  // Mass Spectrum, (m^2)^(d-2)
  double tmpExp = eDdU - 2;
  double facSpect = pow(mUS, tmpExp);

  // Total cross section
  double sigma = eDconstantTerm * facEWS * facSpect * eDsigma0;
  
  // If f fbar are quarks (1/N_c)
  if (idAbs < 9) sigma /= 3.;

  // Related to mass spactrum weighting.
  sigma /= runBW3;

  // Truncate sH region or use form factor.
  // Form factor uses either pythia8 renormScale2
  // or E_jet in cms.
  if (eDcutoff == 1) {
    if (sH > pow2(eDLambdaU) ) { sigma *= pow(eDLambdaU,4)/pow2(sH); }
  } else if (eDgraviton && ((eDcutoff == 2) || (eDcutoff == 3))) {
    double tmPmu = sqrt(Q2RenSave);
    if (eDcutoff == 3) tmPmu = (sH + s4 - s3) / (2 * mH);
    double tmPformfact = tmPmu / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    sigma *= 1 / (1 + pow(tmPformfact, tmPexp));
  }

  return sigma;

}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDUnparticleZ::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, eDidG, 23);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}
  
//==========================================================================

// Sigma2ffbar2LEDUnparticlegamma class.
// Cross section for f fbar -> U/G gamma (real LED graviton or unparticle
// emission).

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// FIXRATIO:
// Ratio between the two possible coupling constants of the spin-2 ME.
// A value different from one give rise to an IR divergence which makes
// the event generation very slow, so this values is fixed to 1 until
// investigated further.
const double Sigma2ffbar2LEDUnparticlegamma::FIXRATIO = 1.;

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDUnparticlegamma::initProc() {

  // WARNING: Keep in mind that this class uses the photon limit
  //          of the Z+G/U ME code. This might give rise to some
  //          confusing things, e.g. mZ = particleDataPtr->m0(22);
  
  // Init model parameters.
  eDidG        = 5000039;
  if (eDgraviton) {
    eDspin     = 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 0.5 * eDnGrav + 1;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:MD");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDratio    = FIXRATIO;
    //         = settingsPtr->parm("ExtraDimensionsUnpart:ratio");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsUnpart:CutOffMode");
  }

  // Store Z0 mass.
  mZ        = particleDataPtr->m0(22);
  mZS       = mZ*mZ;

  // Init spin-2 parameters
  if ( eDspin != 2 ){
    eDgraviton = false;
    eDlambdaPrime = 0;
  } else if (eDgraviton) {
    eDlambda = 1;
    eDratio = 1;
    eDlambdaPrime = eDlambda;
  } else {
    eDlambdaPrime = eDratio * eDlambda;
  }

  // The A(dU) or S'(n) value
  double tmpAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
    * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));

  if (eDgraviton) {
    tmpAdU  = 2 * M_PI * sqrt( pow(M_PI, double(eDnGrav)) )
            / GammaReal(0.5 * eDnGrav);
  }

  // Standard 2 to 2 cross section related constants
  double tmpTerm1 = 1/(2 * 16 * pow2(M_PI));
  double tmpLS    = pow2(eDLambdaU);

  // Spin dependent constants from ME.
  double tmpTerm2 = 0;
  if ( eDspin == 0 ) {
    tmpTerm2 = 2 * pow2(eDlambda);
  } else if (eDspin == 1) {
    tmpTerm2 = 4 * pow2(eDlambda);
  } else if (eDspin == 2) {
    tmpTerm2 = pow2(eDlambda)/(4 * 3 * tmpLS);
  }

  // Unparticle phase space related
  double tmpExp2 = eDdU - 2;
  double tmpTerm3 = tmpAdU / (tmpLS * pow(tmpLS, tmpExp2));

  // All in total
  eDconstantTerm = tmpTerm1 * tmpTerm2 * tmpTerm3;

}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDUnparticlegamma::sigmaKin() {

  // Set graviton mass and some powers of mandelstam variables
  mU        = m3;
  mUS       = mU*mU;

  sHS = pow2(sH);
  tHS = pow2(tH);
  uHS = pow2(uH);
  tHC = pow(tH,3);
  uHC = pow(uH,3);
  tHQ = pow(tH,4);
  uHQ = pow(uH,4);
  tHuH = tH+uH;

  // Evaluate (m**2, t, u) part of differential cross section.
  // Extra 1/sHS comes from standard 2 to 2 cross section
  // phase space factors.

  if ( eDspin == 0 ) {
    
    double A0 = 1/sHS;
    double T1 = - sH/tH - sH/uH;
    double T2 = - (1 - mZS/tH)*(1 - mUS/tH);
    double T3 = - (1 - mZS/uH)*(1 - mUS/uH);
    double T4 = 2*(1 - mUS/tH)*(1 - mUS/uH);
    
    eDsigma0 = A0 * ( T1 + T2 + T3 + T4);
    
  } else if ( eDspin == 1 ) {
    
    double A0 = 1/sHS;
    double T1 = 0.5 * (tH/uH + uH/tH);
    double T2 =  pow2(mZS + mUS)/(tH * uH);
    double T3 = - 0.5 * mUS * (mZS/tHS + mZS/uHS) ;
    double T4 = - (mZS+mUS)*(1/tH + 1/uH);
    
    eDsigma0 = A0 * ( T1 + T2 + T3 + T4 );

  } else if ( eDspin == 2 ) {

    double A0 = 1 / ( sHS * uHS * tHS * pow2(sH-mZS) );
    double F0 = 2*tHS*uHS*( 16*pow(mZS,3) +  mUS*(7*tHS + 12*tH*uH + 7*uHS)
              - 3*(3*tHC + 11*tHS*uH + 11*tH*uHS + 3*uHC)
              + 6*pow(mZS,2)*(7*mUS - 2*tHuH) + mZS*(14*pow(mUS,2)
              - 15*tHS - 44*tH*uH - 15*uHS + 2*mUS*tHuH) );
    double F2 = 2*tHS*uHS*tHuH*( -8*pow(mZS,2)*tHuH
              + 4*mZS*(tHS + 3*tH*uH + uHS)
              + 3*(tHC + 5*tHS*uH + 5*tH*uHS + uHC) );
    double F4 = -2*tHS*uHS*pow(tHuH,3)*(tHS + uHS - mZS*tHuH);

    double G0 = 4*tH*uH*( 6*pow(mZS,3)*(mUS - tH - uH)*tHuH
              + pow(mZS,2)*( 9*tHC + 7*tHS*uH + 7*tH*uHS + 9*uHC
              + 15*pow2(mUS)*tHuH - 2*mUS*(12*tHS + 19*tH*uH + 12*uHS) )
              + tH*uH*( 6*pow(mUS,3) - 9*pow(mUS,2)*tHuH
              - mUS*(tHS + 12*tH*uH + uHS)
              + 6*(tHC + 6*tHS*uH + 6*tH*uHS + uHC) )
              + mZS*(-3*tHQ + 25*tHC*uH + 58*tHS*uHS + 25*tH*uHC
              - 3*uHQ + 6*pow(mUS,3)*tHuH
              - pow(mUS,2)*(15*tHS + 2*tH*uH + 15*uHS)
              + 2*mUS*(6*tHC - 11*tHS*uH - 11*tH*uHS + 6*uHC)) );
    double G2 = -4*tHS*uHS*tHuH*( -10*pow2(mZS)*tHuH
              + 2*mZS*(3*tHS + 7*tH*uH + 3*uHS)
              + 3*(tHC + 5*tHS*uH + 5*tH*uHS + uHC) );
    double G4 = -2*F4;

    double H0 = 24*pow(mZS,3)*tH*uH*pow2(-mUS + tHuH)
              - 6*pow(mZS,2)*tH*uH*( -9*pow(mUS,3) + 24*pow(mUS,2)*tHuH
              - mUS*(21*tHS + 38*tH*uH + 21*uHS)
              + 2*(3*tHC + 5*tHS*uH + 5*tH*uHS + 3*uHC) )
              - mZS*( 3*pow(mUS,4)*(tHS - 12*tH*uH + uHS)
              - 2*tH*uH*pow2(tHuH)*(6*tHS - 29*tH*uH + 6*uHS)
              - 6*pow(mUS,3)*(tHC - 16*tHS*uH - 16*tH*uHS + uHC)
              + 54*mUS*tH*uH*(tHC + tHS*uH + tH*uHS + uHC)
              + pow2(mUS)*(3*tHQ - 102*tHC*uH - 166*tHS*uHS
              - 102*tH*uHC + 3*uHQ) )
              + tH*uH*( 6*pow(mUS,5) - 18*pow(mUS,4)*tHuH
              - 12*pow(mUS,2)*pow(tHuH,3)
              + 3*pow(mUS,3)*(7*tHS + 12*tH*uH + 7*uHS)
              - 18*tH*uH*(tHC + 5*tHS*uH + 5*tH*uHS + uHC)
              + mUS*(3*tHQ + 32*tHC*uH + 78*tHS*uHS + 32*tH*uHC + 3*uHQ) );
    double H2 = 2*tHS*uHS*pow2(tHuH)*( -12*pow2(mZS) + 8*mZS*tHuH
              + 3*(tHS + 4*tH*uH + uHS) );
    double H4 = F4;

    eDsigma0 = A0*( F0 + 1/mUS*F2 + 1/pow2(mUS)*F4
             + eDratio*(G0 + 1/mUS*G2 + 1/pow2(mUS)*G4)
             + pow2(eDratio)*(H0 + 1/mUS*H2 + 1/pow2(mUS)*H4) );

  } else {
    
    eDsigma0 = 0;
  
  }

}

//--------------------------------------------------------------------------

double Sigma2ffbar2LEDUnparticlegamma::sigmaHat() {

  // Electroweak couplings..
  int idAbs    = abs(id1);
  double facEWS = 4 * M_PI * alpEM * couplingsPtr->ef2(idAbs);

  // Mass Spectrum, (m^2)^(d-2)
  double tmpExp = eDdU - 2;
  double facSpect = pow(mUS, tmpExp);

  // Total cross section
  double sigma = eDconstantTerm * facEWS * facSpect * eDsigma0;

  // If f fbar are quarks
  if (idAbs < 9) sigma /= 3.;

  // Related to mass spactrum weighting.
  sigma /= runBW3;

  // Truncate sH region or use form factor.
  // Form factor uses either pythia8 renormScale2
  // or E_jet in cms.
  if (eDcutoff == 1) {
    if (sH > pow2(eDLambdaU) ) { sigma *= pow(eDLambdaU,4)/pow2(sH); }
  } else if (eDgraviton && ((eDcutoff == 2) || (eDcutoff == 3))) {
    double tmPmu = sqrt(Q2RenSave);
    if (eDcutoff == 3) tmPmu = (sH + s4 - s3) / (2 * mH);
    double tmPformfact = tmPmu / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    sigma *= 1 / (1 + pow(tmPformfact, tmPexp));
  }

  return sigma;

}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDUnparticlegamma::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, eDidG, 22);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2ffbar2LEDgammagamma class.
// Cross section for f fbar -> (LED G*/U*) -> gamma gamma
// (virtual graviton/unparticle exchange).

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDgammagamma::initProc() {
  
  // Init model parameters.
  if (eDgraviton) {
    eDspin     = 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 2;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
    eDlambda   = 1;
    eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDnegInt   = 0;
  }

  // Model dependent constants.
  if (eDgraviton) {
    eDlambda2chi = 4*M_PI;
    if (eDnegInt == 1) eDlambda2chi *= -1.;
  } else {
    double tmPAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
    double tmPdUpi = eDdU * M_PI;
    eDlambda2chi = pow2(eDlambda) * tmPAdU / (2 * sin(tmPdUpi));
  }

  // Model parameter check (if not applicable, sigma = 0).
  // Note: SM contribution still generated.
  if ( !(eDspin==0 || eDspin==2) ) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2ffbar2LEDgammagamma::initProc: "
                      "Incorrect spin value (turn process off)!");
  } else if ( !eDgraviton && (eDdU >= 2)) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2ffbar2LEDgammagamma::initProc: "
                      "This process requires dU < 2 (turn process off)!");
  }

}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDgammagamma::sigmaKin() {

  // Mandelstam variables.
  double sHS = pow2(sH);
  double sHQ = pow(sH, 4);
  double tHS = pow2(tH);
  double uHS = pow2(uH);

  // Form factor.
  double tmPeffLambdaU = eDLambdaU;
  if (eDgraviton && ((eDcutoff == 2) || (eDcutoff == 3))) {
    double tmPffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    double tmPformfact = 1 + pow(tmPffterm, tmPexp);
    tmPeffLambdaU *= pow(tmPformfact,0.25);
  }

  // ME from spin-0 and spin-2 unparticles
  // including extra 1/sHS from 2-to-2 phase space.
  if (eDspin == 0) {
    double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
    double tmPexp = 2 * eDdU - 1;
    eDterm1 = pow(tmPsLambda2,tmPexp);
    eDterm1 /= sHS;
  } else {
    eDterm1 = (uH / tH + tH / uH);
    eDterm1 /= sHS;
    double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
    double tmPexp = eDdU;
    eDterm2 = pow(tmPsLambda2,tmPexp) * (uHS + tHS) / sHS;
    eDterm2 /= sHS;
    tmPexp = 2 * eDdU;
    eDterm3 = pow(tmPsLambda2,tmPexp) * tH * uH * (uHS + tHS) / sHQ;
    eDterm3 /= sHS;
  }

}

//--------------------------------------------------------------------------

double Sigma2ffbar2LEDgammagamma::sigmaHat() {

  // Incoming fermion flavor.
  int idAbs      = abs(id1);

  // Couplings and constants.
  // Note: ME already contain 1/2 for identical
  //       particles in the final state.
  double sigma = 0;
  if (eDspin == 0) {
    sigma = pow2(eDlambda2chi) * eDterm1 / 8;
  } else {
    double tmPe2Q2 = 4 * M_PI * alpEM * couplingsPtr->ef2(idAbs);
    double tmPdUpi = eDdU * M_PI;
    sigma = pow2(tmPe2Q2) * eDterm1
          - tmPe2Q2 * eDlambda2chi * cos(tmPdUpi) * eDterm2
          + pow2(eDlambda2chi) * eDterm3 / 4;
  }

  // dsigma/dt, 2-to-2 phase space factors.
  sigma /= 16 * M_PI;

  // If f fbar are quarks.
  if (idAbs < 9) sigma /= 3.;

  return sigma;
}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDgammagamma::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, 22, 22);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2LEDgammagamma class.
// Cross section for g g -> (LED G*/U*) -> gamma gamma
// (virtual graviton/unparticle exchange).

//--------------------------------------------------------------------------

void Sigma2gg2LEDgammagamma::initProc() {

  // Init model parameters.
  if (eDgraviton) {
    eDspin     = 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 2;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
  }

  // Model dependent constants.
  if (eDgraviton) {
    eDlambda2chi = 4 * M_PI;

  } else {
    double tmPAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
    double tmPdUpi = eDdU * M_PI;
    eDlambda2chi = pow2(eDlambda) * tmPAdU / (2 * sin(tmPdUpi));
  }

  // Model parameter check (if not applicable, sigma = 0).
  if ( !(eDspin==0 || eDspin==2) ) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2gg2LEDgammagamma::initProc: "
                      "Incorrect spin value (turn process off)!");
  } else if ( !eDgraviton && (eDdU >= 2)) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2gg2LEDgammagamma::initProc: "
                      "This process requires dU < 2 (turn process off)!");
  }

}

//--------------------------------------------------------------------------

void Sigma2gg2LEDgammagamma::sigmaKin() {
  
  // Mandelstam variables.
  double sHS = pow2(sH);
  double sHQ = pow(sH, 4);
  double tHQ = pow(tH, 4);
  double uHQ = pow(uH, 4);

  // Form factor.
  double tmPeffLambdaU = eDLambdaU;
  if (eDgraviton && ((eDcutoff == 2) || (eDcutoff == 3))) {
    double tmPffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    double tmPformfact = 1 + pow(tmPffterm, tmPexp);
    tmPeffLambdaU *= pow(tmPformfact,0.25);
  }

  // ME from spin-0 and spin-2 unparticles.
  if (eDspin == 0) {
    double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
    double tmPexp = 2 * eDdU;
    eDsigma0 = pow(tmPsLambda2,tmPexp);
  } else {
    double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
    double tmPexp = 2 * eDdU;
    eDsigma0 = pow(tmPsLambda2,tmPexp) * (uHQ + tHQ) / sHQ;
  }

  // extra 1/sHS from 2-to-2 phase space.
  eDsigma0 /= sHS;

}

//--------------------------------------------------------------------------

double Sigma2gg2LEDgammagamma::sigmaHat() {

  // Couplings and constants.
  // Note: ME already contain 1/2 for identical
  //       particles in the final state.
  double sigma = eDsigma0;
  if (eDspin == 0) {
    sigma *= pow2(eDlambda2chi) / 256;
  } else {
    sigma *= pow2(eDlambda2chi) / 32;
  }

  // dsigma/dt, 2-to-2 phase space factors.
  sigma /= 16 * M_PI;

  return sigma;
}

//--------------------------------------------------------------------------

void Sigma2gg2LEDgammagamma::setIdColAcol() {

  // Flavours trivial.
  setId( 21, 21, 22, 22);

  // Colour flow topologies.
  setColAcol( 1, 2, 2, 1, 0, 0, 0, 0);

}

//==========================================================================

// Sigma2ffbar2LEDllbar class.
// Cross section for f fbar -> (LED G*/U*) -> l lbar
// (virtual graviton/unparticle exchange).
// Does not include t-channel contributions relevant for e^+e^- to e^+e^-

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDllbar::initProc() {
  
  // Init model parameters.
  if (eDgraviton) {
    eDspin     = 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 2;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
    eDlambda   = 1;
    eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
    eDnxx      = settingsPtr->mode("ExtraDimensionsUnpart:gXX");
    eDnxy      = settingsPtr->mode("ExtraDimensionsUnpart:gXY");
    eDnegInt   = 0;
  }

  eDmZ  = particleDataPtr->m0(23);
  eDmZS = eDmZ * eDmZ;
  eDGZ  = particleDataPtr->mWidth(23);
  eDGZS = eDGZ * eDGZ;

  // Model dependent constants.
  if (eDgraviton) {
    eDlambda2chi = 4*M_PI;
    if (eDnegInt == 1) eDlambda2chi *= -1.;
  } else {
    double tmPAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
    double tmPdUpi = eDdU * M_PI;
    eDlambda2chi = pow2(eDlambda) * tmPAdU / (2 * sin(tmPdUpi));
  }

  // Model parameter check (if not applicable, sigma = 0).
  // Note: SM contribution still generated.
  if ( !(eDspin==1 || eDspin==2) ) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2ffbar2LEDllbar::initProc: "
                      "Incorrect spin value (turn process off)!");
  } else if ( !eDgraviton && (eDdU >= 2)) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2ffbar2LEDllbar::initProc: "
                      "This process requires dU < 2 (turn process off)!");
  }

}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDllbar::sigmaKin() {

  // Mandelstam variables.
  double tHS = pow2(tH);
  double uHS = pow2(uH);
  double tHC = pow(tH,3);
  double uHC = pow(uH,3);
  double tHQ = pow(tH,4);
  double uHQ = pow(uH,4);

  // Form factor.
  double tmPeffLambdaU = eDLambdaU;
  if (eDgraviton && ((eDcutoff == 2) || (eDcutoff == 3))) {
    double tmPffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    double tmPformfact = 1 + pow(tmPffterm, tmPexp);
    tmPeffLambdaU *= pow(tmPformfact,0.25);
  }

  // ME from spin-1 and spin-2 unparticles
  eDdenomPropZ = pow2(sH - eDmZS) + eDmZS * eDGZS;
  eDrePropZ = (sH - eDmZS) / eDdenomPropZ;
  eDimPropZ = -eDmZ * eDGZ / eDdenomPropZ;
  eDrePropGamma = 1 / sH;
  if (eDspin == 1) {
    double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
    double tmPexp = eDdU - 2;
    eDabsMeU  = eDlambda2chi * pow(tmPsLambda2,tmPexp)
              / pow2(tmPeffLambdaU);
  } else {
    double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
    double tmPexp = eDdU - 2;
    double tmPA = -eDlambda2chi * pow(tmPsLambda2,tmPexp)
                 / (8 * pow(tmPeffLambdaU,4));
    eDabsAS = pow2(tmPA);
    eDreA   = tmPA * cos(M_PI * eDdU);
    eDreABW = tmPA * ((sH - eDmZS) * cos(M_PI * eDdU) + eDmZ * eDGZ
            * sin(M_PI * eDdU)) / eDdenomPropZ;
    eDpoly1 = tHQ + uHQ - 6*tHC*uH - 6*tH*uHC + 18*tHS*uHS;
    double tmPdiffUT = uH - tH;
    eDpoly2 = pow(tmPdiffUT,3);
    eDpoly3 = tHC - 3*tHS*uH - 3*tH*uHS + uHC;
  }

}

//--------------------------------------------------------------------------

double Sigma2ffbar2LEDllbar::sigmaHat() {

  // Incoming fermion flavor.
  int idAbs      = abs(id1);

  // Couplings and constants.
  // Qq = couplingsPtr->ef(idAbs), quark, i.e. id > 0.
  // Ql = couplingsPtr->ef(11), electron.
  double tmPe2QfQl = 4 * M_PI * alpEM * couplingsPtr->ef(idAbs)
                      * couplingsPtr->ef(11);
  double tmPgvq = 0.25 * couplingsPtr->vf(idAbs);
  double tmPgaq = 0.25 * couplingsPtr->af(idAbs);
  double tmPgLq = tmPgvq  + tmPgaq;
  double tmPgRq = tmPgvq  - tmPgaq;
  double tmPgvl = 0.25 * couplingsPtr->vf(11);
  double tmPgal = 0.25 * couplingsPtr->af(11);
  double tmPgLl = tmPgvl  + tmPgal;
  double tmPgRl = tmPgvl  - tmPgal;
  double tmPe2s2c2 = 4 * M_PI * alpEM
    / (couplingsPtr->sin2thetaW() * couplingsPtr->cos2thetaW());
     
  // LL, RR, LR, RL  couplings.
  vector tmPcoupZ;
  tmPcoupZ.push_back(tmPe2s2c2 * tmPgLq * tmPgLl);
  tmPcoupZ.push_back(tmPe2s2c2 * tmPgRq * tmPgRl);
  tmPcoupZ.push_back(tmPe2s2c2 * tmPgRq * tmPgLl);
  tmPcoupZ.push_back(tmPe2s2c2 * tmPgLq * tmPgRl);
  vector tmPcoupU;
  if (eDnxx == 1) {
    // LL
    tmPcoupU.push_back(-1);
    // RR
    tmPcoupU.push_back(-1);
  } else if (eDnxx == 2) {
    // LL
    tmPcoupU.push_back(0);
    // RR
    tmPcoupU.push_back(0);
  } else {
    // LL
    tmPcoupU.push_back(1);
    // RR
    tmPcoupU.push_back(1);
  }
  if (eDnxy == 1) {
    // RL
    tmPcoupU.push_back(-1);
    // LR
    tmPcoupU.push_back(-1);
  } else if (eDnxy == 2) {
    // RL
    tmPcoupU.push_back(0);
    // LR
    tmPcoupU.push_back(0);
  } else {
    // RL
    tmPcoupU.push_back(1);
    // LR
    tmPcoupU.push_back(1);
  }
  
  // Matrix elements
  double tmPMES = 0;
  if (eDspin == 1) {

    for (unsigned int i = 0; illbar) = 3 * sigma(ffbar->eebar)
  sigma *= 3.;

  return sigma;
}

//--------------------------------------------------------------------------

void Sigma2ffbar2LEDllbar::setIdColAcol() {

  double tmPrand = rndmPtr->flat();
  // Flavours trivial.
  if (tmPrand < 0.33333333) {      setId( id1, id2, 11, -11); }
  else if (tmPrand < 0.66666667) { setId( id1, id2, 13, -13); }
  else {                            setId( id1, id2, 15, -15); }

  // tH defined between f and f': must swap tHat <-> uHat if id1 is fbar.
  swapTU = (id2 > 0);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2gg2LEDllbar class.
// Cross section for g g -> (LED G*/U*) -> l lbar
// (virtual graviton/unparticle exchange).

//--------------------------------------------------------------------------

void Sigma2gg2LEDllbar::initProc() {

  // Init model parameters.
  if (eDgraviton) {
    eDspin     = 2;
    eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
    eDdU       = 2;
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
    eDlambda   = 1;
    eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
    eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");
  } else {
    eDspin     = settingsPtr->mode("ExtraDimensionsUnpart:spinU");
    eDdU       = settingsPtr->parm("ExtraDimensionsUnpart:dU");
    eDLambdaU  = settingsPtr->parm("ExtraDimensionsUnpart:LambdaU");
    eDlambda   = settingsPtr->parm("ExtraDimensionsUnpart:lambda");
  }

  // Model dependent constants.
  if (eDgraviton) {
    eDlambda2chi = 4 * M_PI;

  } else {
    double tmPAdU = 16 * pow2(M_PI) * sqrt(M_PI) / pow(2. * M_PI, 2. * eDdU)
      * GammaReal(eDdU + 0.5) / (GammaReal(eDdU - 1.) * GammaReal(2. * eDdU));
    double tmPdUpi = eDdU * M_PI;
    eDlambda2chi = pow2(eDlambda) * tmPAdU / (2 * sin(tmPdUpi));
  }

  // Model parameter check (if not applicable, sigma = 0).
  if ( !(eDspin==2) ) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2gg2LEDllbar::initProc: "
                      "Incorrect spin value (turn process off)!");
  } else if ( !eDgraviton && (eDdU >= 2)) {
    eDlambda2chi = 0;
    infoPtr->errorMsg("Error in Sigma2gg2LEDllbar::initProc: "
                      "This process requires dU < 2 (turn process off)!");
  }

}

//--------------------------------------------------------------------------

void Sigma2gg2LEDllbar::sigmaKin() {

  // Form factor.
  double tmPeffLambdaU = eDLambdaU;
  if (eDgraviton && ((eDcutoff == 2) || (eDcutoff == 3))) {
    double tmPffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaU);
    double tmPexp = double(eDnGrav) + 2;
    double tmPformfact = 1 + pow(tmPffterm, tmPexp);
    tmPeffLambdaU *= pow(tmPformfact,0.25);
  }

  // ME from spin-2 unparticle.
  double tmPsLambda2 = sH / pow2(tmPeffLambdaU);
  double tmPexp = eDdU - 2;
  double tmPA = -eDlambda2chi * pow(tmPsLambda2,tmPexp)
               / (8 * pow(tmPeffLambdaU,4));
  eDsigma0 = 4 * pow2(tmPA) * uH * tH * (pow2(uH) + pow2(tH));

  // extra 1/sHS from 2-to-2 phase space.
  eDsigma0 /= 16 * M_PI * pow2(sH);

  // sigma(ffbar->llbar) = 3 * sigma(ffbar->eebar)
  eDsigma0 *= 3.;

}

//--------------------------------------------------------------------------

void Sigma2gg2LEDllbar::setIdColAcol() {

  double tmPrand = rndmPtr->flat();
  // Flavours trivial.
  if (tmPrand < 0.33333333) {      setId( 21, 21, 11, -11); }
  else if (tmPrand < 0.66666667) { setId( 21, 21, 13, -13); }
  else {                            setId( 21, 21, 15, -15); }

  // Colour flow topologies.
  setColAcol( 1, 2, 2, 1, 0, 0, 0, 0);

}

//==========================================================================

// Sigma2gg2LEDgg class.
// Cross section for g g -> (LED G*) -> g g.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2LEDgg::initProc() {

  // Read model parameters.
  eDopMode   = settingsPtr->mode("ExtraDimensionsLED:opMode");
  eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
  eDMD       = settingsPtr->parm("ExtraDimensionsLED:MD");
  eDLambdaT  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
  eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
  eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
  eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gg2LEDgg::sigmaKin() {

  // Get S(x) values for G amplitude.
  complex sS(0., 0.);
  complex sT(0., 0.);
  complex sU(0., 0.);
  if (eDopMode == 0) {
    sS = ampLedS( sH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sT = ampLedS( tH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sU = ampLedS( uH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
  } else {
    // Form factor.
    double effLambda = eDLambdaT;
    if ((eDcutoff == 2) || (eDcutoff == 3)) {
      double ffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaT);
      double exp    = double(eDnGrav) + 2.;
      double formfa = 1. + pow(ffterm, exp);
      effLambda *= pow(formfa,0.25);
    }
    sS = 4.*M_PI/pow(effLambda,4);
    sT = 4.*M_PI/pow(effLambda,4);
    sU = 4.*M_PI/pow(effLambda,4);
    if (eDnegInt == 1) {
      sS *= -1.;
      sT *= -1.;
      sU *= -1.;
    }
  }

  // Calculate kinematics dependence.
  double sH3 = sH*sH2;
  double tH3 = tH*tH2;
  double uH3 = uH*uH2;
  
  sigTS  = (128. * pow2(M_PI) * pow2(alpS)) * (9./4.)
         * (tH2 / sH2 + 2. * tH / sH + 3. + 2. * sH / tH + sH2 / tH2)
         + 24.*M_PI*alpS*( (sH3/tH + tH2 + 3.*(sH*tH + sH2))*sS.real()
                         + (tH3/sH + sH2 + 3.*(tH*sH + tH2))*sT.real())
         + pow2(uH2)*( 4.*real(sS*conj(sS)) + sS.real()*sT.real()
                     + sS.imag()*sT.imag() + 4.*real(sT*conj(sT)));


  sigUS  = (128. * pow2(M_PI) * pow2(alpS)) * (9./4.)
         * (uH2 / sH2 + 2. * uH / sH + 3. + 2. * sH / uH + sH2 / uH2)
         + 24.*M_PI*alpS*( (sH3/uH + uH2 + 3.*(sH*uH + sH2))*sS.real()
                         + (uH3/sH + sH2 + 3.*(uH*sH + uH2))*sU.real())
         + pow2(tH2)*( 4.*real(sS*conj(sS)) + sS.real()*sU.real()
                     + sS.imag()*sU.imag() + 4.*real(sU*conj(sU)));

  sigTU  = (128. * pow2(M_PI) * pow2(alpS)) * (9./4.)
         * (tH2 / uH2 + 2. * tH / uH + 3. + 2. * uH / tH + uH2 / tH2)
         + 24.*M_PI*alpS*( (tH3/uH + uH2 + 3.*(tH*uH + tH2))*sT.real()
                         + (uH3/tH + tH2 + 3.*(uH*tH + uH2))*sU.real())
         + pow2(sH2)*( 4.*real(sT*conj(sT)) + sT.real()*sU.real()
                     + sT.imag()*sU.imag() + 4.*real(sU*conj(sU)));

  sigSum = sigTS + sigUS + sigTU;

  // Answer contains factor 1/2 from identical gluons.
  sigma  = 0.5 * sigSum / (128. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2LEDgg::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, 21, 21);

  // Three colour flow topologies, each with two orientations.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 4, 4, 3);
  else if (sigRand < sigTS + sigUS)
                       setColAcol( 1, 2, 3, 1, 3, 4, 4, 2);
  else                 setColAcol( 1, 2, 3, 4, 1, 4, 3, 2);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2gg2LEDqqbar class.
// Cross section for g g -> (LED G*) -> q qbar.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2LEDqqbar::initProc() {

  // Read number of quarks to be considered in massless approximation
  // as well as model parameters.
  nQuarkNew  = settingsPtr->mode("ExtraDimensionsLED:nQuarkNew");
  eDopMode   = settingsPtr->mode("ExtraDimensionsLED:opMode");
  eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
  eDMD       = settingsPtr->parm("ExtraDimensionsLED:MD");
  eDLambdaT  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
  eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
  eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
  eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gg2LEDqqbar::sigmaKin() {

  // Get S(x) values for G amplitude.
  complex sS(0., 0.);
  complex sT(0., 0.);
  complex sU(0., 0.);
  if (eDopMode == 0) {
    sS = ampLedS( sH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sT = ampLedS( tH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sU = ampLedS( uH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
  } else {
    // Form factor.
    double effLambda = eDLambdaT;
    if ((eDcutoff == 2) || (eDcutoff == 3)) {
      double ffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaT);
      double exp    = double(eDnGrav) + 2.;
      double formfa = 1. + pow(ffterm, exp);
      effLambda *= pow(formfa,0.25);
    }
    sS = 4.*M_PI/pow(effLambda,4);
    sT = 4.*M_PI/pow(effLambda,4);
    sU = 4.*M_PI/pow(effLambda,4);
    if (eDnegInt == 1) {
      sS *= -1.;
      sT *= -1.;
      sU *= -1.;
    }
  }

  // Pick new flavour.
  idNew = 1 + int( nQuarkNew * rndmPtr->flat() );
  mNew  = particleDataPtr->m0(idNew);
  m2New = mNew*mNew;
  
  // Calculate kinematics dependence.
  sigTS = 0.;
  sigUS = 0.;
  if (sH > 4. * m2New) {
    double tH3 = tH*tH2;
    double uH3 = uH*uH2;
    sigTS = (16. * pow2(M_PI) * pow2(alpS))
          * ((1./6.) * uH / tH - (3./8.) * uH2 / sH2)
          - 0.5 * M_PI * alpS * uH2 * sS.real()
          + (3./16.) * uH3 * tH * real(sS*conj(sS));
    sigUS = (16. * pow2(M_PI) * pow2(alpS))
          * ((1./6.) * tH / uH - (3./8.) * tH2 / sH2)
          - 0.5 * M_PI * alpS * tH2 * sS.real()
          + (3./16.) * tH3 * uH * real(sS*conj(sS));
  }
  sigSum = sigTS + sigUS;

  // Answer is proportional to number of outgoing flavours.
  sigma  = nQuarkNew * sigSum / (16. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2LEDqqbar::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, idNew, -idNew);

  // Two colour flow topologies.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3);
  else                 setColAcol( 1, 2, 3, 1, 3, 0, 0, 2);

}

//==========================================================================

// Sigma2qg2LEDqg class.
// Cross section for q g -> (LED G*) -> q g.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2LEDqg::initProc() {

  // Read model parameters.
  eDopMode   = settingsPtr->mode("ExtraDimensionsLED:opMode");
  eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
  eDMD       = settingsPtr->parm("ExtraDimensionsLED:MD");
  eDLambdaT  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
  eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
  eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
  eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qg2LEDqg::sigmaKin() {

  // Get S(x) values for G amplitude.
  complex sS(0., 0.);
  complex sT(0., 0.);
  complex sU(0., 0.);
  if (eDopMode == 0) {
    sS = ampLedS( sH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sT = ampLedS( tH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sU = ampLedS( uH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
  } else {
    // Form factor.
    double effLambda = eDLambdaT;
    if ((eDcutoff == 2) || (eDcutoff == 3)) {
      double ffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaT);
      double exp    = double(eDnGrav) + 2.;
      double formfa = 1. + pow(ffterm, exp);
      effLambda *= pow(formfa,0.25);
    }
    sS = 4.*M_PI/pow(effLambda,4);
    sT = 4.*M_PI/pow(effLambda,4);
    sU = 4.*M_PI/pow(effLambda,4);
    if (eDnegInt == 1) {
      sS *= -1.;
      sT *= -1.;
      sU *= -1.;
    }
  }

  // Calculate kinematics dependence.
  double sH3 = sH*sH2;
  double uH3 = uH*uH2;
  sigTS  = (16. * pow2(M_PI) * pow2(alpS))
         * (uH2 / tH2 - (4./9.) * uH / sH)
         + (4./3.) * M_PI * alpS * uH2 * sT.real()
         - 0.5 * uH3 * sH * real(sT*conj(sT));
  sigTU  = (16. * pow2(M_PI) * pow2(alpS))
         * (sH2 / tH2 - (4./9.) * sH / uH)
         + (4./3.) * M_PI * alpS * sH2 * sT.real()
         - 0.5 * sH3 * uH * real(sT*conj(sT));
  sigSum = sigTS + sigTU;

  // Answer.
  sigma  = sigSum / (16. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2LEDqg::setIdColAcol() {

  // Outgoing = incoming flavours.
  setId( id1, id2, id1, id2);

  // Two colour flow topologies. Swap if first is gluon, or when antiquark.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 0, 2, 1, 3, 0, 2, 3);
  else                 setColAcol( 1, 0, 2, 3, 2, 0, 1, 3);
  if (id1 == 21) swapCol1234();
  if (id1 < 0 || id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qq2LEDqq class.
// Cross section for q q(bar)' -> (LED G*) -> q q(bar)'

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qq2LEDqq::initProc() {

  // Read model parameters.
  eDopMode   = settingsPtr->mode("ExtraDimensionsLED:opMode");
  eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
  eDMD       = settingsPtr->parm("ExtraDimensionsLED:MD");
  eDLambdaT  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
  eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
  eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
  eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qq2LEDqq::sigmaKin() {

  // Get S(x) values for G amplitude.
  complex sS(0., 0.);
  complex sT(0., 0.);
  complex sU(0., 0.);
  if (eDopMode == 0) {
    sS = ampLedS( sH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sT = ampLedS( tH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sU = ampLedS( uH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
  } else {
    // Form factor.
    double effLambda = eDLambdaT;
    if ((eDcutoff == 2) || (eDcutoff == 3)) {
      double ffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaT);
      double exp    = double(eDnGrav) + 2.;
      double formfa = 1. + pow(ffterm, exp);
      effLambda *= pow(formfa,0.25);
    }
    sS = 4.*M_PI/pow(effLambda,4);
    sT = 4.*M_PI/pow(effLambda,4);
    sU = 4.*M_PI/pow(effLambda,4);
    if (eDnegInt == 1) {
      sS *= -1.;
      sT *= -1.;
      sU *= -1.;
    }
  }

  // Calculate kinematics dependence for different terms.
  sigT   = (4./9.) * (sH2 + uH2) / tH2;
  sigU   = (4./9.) * (sH2 + tH2) / uH2;
  sigTU  = - (8./27.) * sH2 / (tH * uH);
  sigST  = - (8./27.) * uH2 / (sH * tH);
  // Graviton terms.
  sigGrT1 = funLedG(tH, uH) * real(sT*conj(sT)) / 8.;
  sigGrT2 = funLedG(tH, sH) * real(sT*conj(sT)) / 8.;
  sigGrU  = funLedG(uH, tH) * real(sU*conj(sU)) / 8.;
  sigGrTU = (8./9.) * M_PI * alpS * sH2
          * ((4.*uH + tH)*sT.real()/uH + (4.*tH + uH)*sU.real()/tH)
          + (sT.real()*sU.real() + sT.imag()*sU.imag())
          * (4.*tH + uH)*(4.*uH + tH) * sH2 / 48.;
  sigGrST = (8./9.) * M_PI * alpS * uH2
          * ((4.*tH + sH)*sS.real()/tH + (4.*sH + tH)*sT.real()/sH)
          + (sS.real()*sT.real() + sS.imag()*sT.imag())
          * (4.*sH + tH)*(4.*tH + sH) * uH2 / 48.;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qq2LEDqq::sigmaHat() {

  // Combine cross section terms; factor 1/2 when identical quarks.
  if (id2 ==  id1) {
    sigSum  = (16. * pow2(M_PI) * pow2(alpS)) * (sigT + sigU + sigTU)
            + sigGrT1 + sigGrU + sigGrTU;
    sigSum *= 0.5;
  } else if (id2 == -id1) {
    sigSum = (16. * pow2(M_PI) * pow2(alpS)) * (sigT + sigST)
           + sigGrT2 + sigGrST;
  } else {
    sigSum = 16. * pow2(M_PI) * pow2(alpS) * sigT + sigGrT1;
  }

  // Answer.
  return sigSum / (16. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qq2LEDqq::setIdColAcol() {

  // Outgoing = incoming flavours.
  setId( id1, id2, id1, id2);

  // Colour flow topologies. Swap when antiquarks.
  double sigTtot = sigT + sigGrT2;
  double sigUtot = sigU + sigGrU;
  if (id1 * id2 > 0)  setColAcol( 1, 0, 2, 0, 2, 0, 1, 0);
  else                setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
  if (id2 == id1 && (sigTtot + sigUtot) * rndmPtr->flat() > sigTtot)
                      setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2LEDgg class.
// Cross section for q qbar -> (LED G*) -> g g.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2LEDgg::initProc() {

  // Read model parameters.
  eDopMode   = settingsPtr->mode("ExtraDimensionsLED:opMode");
  eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
  eDMD       = settingsPtr->parm("ExtraDimensionsLED:MD");
  eDLambdaT  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
  eDnegInt   = settingsPtr->mode("ExtraDimensionsLED:NegInt");
  eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
  eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qqbar2LEDgg::sigmaKin() {

  // Get S(x) values for G amplitude.
  complex sS(0., 0.);
  complex sT(0., 0.);
  complex sU(0., 0.);
  if (eDopMode == 0) {
    sS = ampLedS( sH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sT = ampLedS( tH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sU = ampLedS( uH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
  } else {
    // Form factor.
    double effLambda = eDLambdaT;
    if ((eDcutoff == 2) || (eDcutoff == 3)) {
      double ffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaT);
      double exp    = double(eDnGrav) + 2.;
      double formfa = 1. + pow(ffterm, exp);
      effLambda *= pow(formfa,0.25);
    }
    sS = 4.*M_PI/pow(effLambda,4);
    sT = 4.*M_PI/pow(effLambda,4);
    sU = 4.*M_PI/pow(effLambda,4);
    if (eDnegInt == 1) {
      sS *= -1.;
      sT *= -1.;
      sU *= -1.;
    }
  }

  // Calculate kinematics dependence.
  double tH3 = tH*tH2;
  double uH3 = uH*uH2;
  sigTS  = (16. * pow2(M_PI) * pow2(alpS))
         * ((1./6.) * uH / tH - (3./8.) * uH2 / sH2)
         - 0.5 * M_PI * alpS * uH2 * sS.real()
         + (3./16.) * uH3 * tH * real(sS*conj(sS));
  sigUS  = (16. * pow2(M_PI) * pow2(alpS))
         * ((1./6.) * tH / uH - (3./8.) * tH2 / sH2)
         - 0.5 * M_PI * alpS * tH2 * sS.real()
         + (3./16.) * tH3 * uH * real(sS*conj(sS));

  sigSum = sigTS + sigUS;

  // Answer contains factor 1/2 from identical gluons.
  sigma  = (64./9.) * 0.5 * sigSum / (16. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2LEDgg::setIdColAcol() {

  // Outgoing flavours trivial.
  setId( id1, id2, 21, 21);

  // Two colour flow topologies. Swap if first is antiquark.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 0, 0, 2, 1, 3, 3, 2);
  else                 setColAcol( 1, 0, 0, 2, 3, 2, 1, 3);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2LEDqqbarNew class.
// Cross section q qbar -> (LED G*) -> q' qbar'.

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2LEDqqbarNew::initProc() {

  // Read number of quarks to be considered in massless approximation
  // as well as model parameters.
  nQuarkNew  = settingsPtr->mode("ExtraDimensionsLED:nQuarkNew");
  eDopMode   = settingsPtr->mode("ExtraDimensionsLED:opMode");
  eDnGrav    = settingsPtr->mode("ExtraDimensionsLED:n");
  eDMD       = settingsPtr->parm("ExtraDimensionsLED:MD");
  eDLambdaT  = settingsPtr->parm("ExtraDimensionsLED:LambdaT");
  eDcutoff   = settingsPtr->mode("ExtraDimensionsLED:CutOffMode");
  eDtff      = settingsPtr->parm("ExtraDimensionsLED:t");

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2qqbar2LEDqqbarNew::sigmaKin() {

  // Get S(x) values for G amplitude.
  complex sS(0., 0.);
  complex sT(0., 0.);
  complex sU(0., 0.);
  if (eDopMode == 0) {
    sS = ampLedS( sH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sT = ampLedS( tH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
    sU = ampLedS( uH/pow2(eDLambdaT), eDnGrav, eDLambdaT, eDMD);
  } else {
    // Form factor.
    double effLambda = eDLambdaT;
    if ((eDcutoff == 2) || (eDcutoff == 3)) {
      double ffterm = sqrt(Q2RenSave) / (eDtff * eDLambdaT);
      double exp    = double(eDnGrav) + 2.;
      double formfa = 1. + pow(ffterm, exp);
      effLambda *= pow(formfa,0.25);
    }
    sS = 4.*M_PI/pow(effLambda,4);
    sT = 4.*M_PI/pow(effLambda,4);
    sU = 4.*M_PI/pow(effLambda,4);
  }

  // Pick new flavour.
  idNew = 1 + int( nQuarkNew * rndmPtr->flat() );
  mNew  = particleDataPtr->m0(idNew);
  m2New = mNew*mNew;

  // Calculate kinematics dependence.
  sigS                      = 0.;
  if (sH > 4. * m2New) {
    sigS = (16. * pow2(M_PI) * pow2(alpS))
         * (4./9.) * (tH2 + uH2) / sH2
         + funLedG(sH, tH) * real(sS*conj(sS)) / 8.;
  }
  // Answer is proportional to number of outgoing flavours.
  sigma = nQuarkNew * sigS / (16. * M_PI * sH2);

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2LEDqqbarNew::setIdColAcol() {

  // Set outgoing flavours ones.
  id3 = (id1 > 0) ? idNew : -idNew;
  setId( id1, id2, id3, -id3);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/PhaseSpace.cc0000644000175000017500000042135212357054762015473 0ustar  sunsun// PhaseSpace.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// PhaseSpace and PhaseSpace2to2tauyz classes.

#include "Pythia8/PhaseSpace.h"

namespace Pythia8 {

//==========================================================================

// The PhaseSpace class.
// Base class for phase space generators.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of trial maxima around which maximum search is performed.
const int    PhaseSpace::NMAXTRY        = 2;

// Number of three-body trials in phase space optimization.
const int    PhaseSpace::NTRY3BODY      = 20;

// Maximum cross section increase, just in case true maximum not found.
const double PhaseSpace::SAFETYMARGIN   = 1.05;

// Small number to avoid division by zero.
const double PhaseSpace::TINY           = 1e-20;

// Fraction of total weight that is shared evenly between all shapes.
const double PhaseSpace::EVENFRAC       = 0.4;

// Two cross sections with a small relative error are assumed same.
const double PhaseSpace::SAMESIGMA      = 1e-6;

// Do not include resonances peaked too far outside allowed mass region.
const double PhaseSpace::WIDTHMARGIN    = 20.;

// Special optimization treatment when two resonances at almost same mass.
const double PhaseSpace::SAMEMASS       = 0.01;

// Minimum phase space left when kinematics constraints are combined.
const double PhaseSpace::MASSMARGIN     = 0.01;

// When using Breit-Wigners in 2 -> 2 raise maximum weight estimate.
const double PhaseSpace::EXTRABWWTMAX   = 1.25;

// Size of Breit-Wigner threshold region, for mass selection biasing.
const double PhaseSpace::THRESHOLDSIZE  = 3.;

// Step size in optimal-mass search, for mass selection biasing.
const double PhaseSpace::THRESHOLDSTEP  = 0.2;

// Minimal rapidity range for allowed open range (in 2 -> 3).
const double PhaseSpace::YRANGEMARGIN  = 1e-6;

// Cutoff for f_e^e at x < 1 - 10^{-10} to be used in phase space selection.
// Note: the ...MIN quantities come from 1 - x_max or 1 - tau_max.
const double PhaseSpace::LEPTONXMIN     = 1e-10;
const double PhaseSpace::LEPTONXMAX     = 1. - 1e-10;
const double PhaseSpace::LEPTONXLOGMIN  = log(1e-10);
const double PhaseSpace::LEPTONXLOGMAX  = log(1. - 1e-10);
const double PhaseSpace::LEPTONTAUMIN   = 2e-10;

// Safety to avoid division with unreasonably small value for z selection.
const double PhaseSpace::SHATMINZ       = 1.;

// Regularization for small pT2min in z = cos(theta) selection.
const double PhaseSpace::PT2RATMINZ     = 0.0001;

// These numbers are hardwired empirical parameters,
// intended to speed up the M-generator.
const double PhaseSpace::WTCORRECTION[11] = { 1., 1., 1.,
  2., 5., 15., 60., 250., 1250., 7000., 50000. };

// MBR: form factor appoximation with two exponents, [FFB1,FFB2] = GeV-2.
const double PhaseSpace::FFA1 = 0.9;
const double PhaseSpace::FFA2 = 0.1;
const double PhaseSpace::FFB1 = 4.6;
const double PhaseSpace::FFB2 = 0.6;

//--------------------------------------------------------------------------

// Perform simple initialization and store pointers.

void PhaseSpace::init(bool isFirst, SigmaProcess* sigmaProcessPtrIn,
  Info* infoPtrIn, Settings* settingsPtrIn, ParticleData* particleDataPtrIn,
  Rndm* rndmPtrIn, BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn,
  Couplings* couplingsPtrIn, SigmaTotal* sigmaTotPtrIn,
  UserHooks* userHooksPtrIn) {

  // Store input pointers for future use.
  sigmaProcessPtr = sigmaProcessPtrIn;
  infoPtr         = infoPtrIn;
  settingsPtr     = settingsPtrIn;
  particleDataPtr = particleDataPtrIn;
  rndmPtr         = rndmPtrIn;
  beamAPtr        = beamAPtrIn;
  beamBPtr        = beamBPtrIn;
  couplingsPtr    = couplingsPtrIn;
  sigmaTotPtr     = sigmaTotPtrIn;
  userHooksPtr    = userHooksPtrIn;

  // Some commonly used beam information.
  idA             = beamAPtr->id();
  idB             = beamBPtr->id();
  mA              = beamAPtr->m();
  mB              = beamBPtr->m();
  eCM             = infoPtr->eCM();
  s               = eCM * eCM;

  // Flag if lepton beams, and if non-resolved ones.
  hasLeptonBeams  = ( beamAPtr->isLepton() || beamBPtr->isLepton() );
  hasPointLeptons = ( hasLeptonBeams
    && (beamAPtr->isUnresolved() || beamBPtr->isUnresolved() ) );

  // Standard phase space cuts.
  if (isFirst || settingsPtr->flag("PhaseSpace:sameForSecond")) {
    mHatGlobalMin      = settingsPtr->parm("PhaseSpace:mHatMin");
    mHatGlobalMax      = settingsPtr->parm("PhaseSpace:mHatMax");
    pTHatGlobalMin     = settingsPtr->parm("PhaseSpace:pTHatMin");
    pTHatGlobalMax     = settingsPtr->parm("PhaseSpace:pTHatMax");

  // Optionally separate phase space cuts for second hard process.
  } else {
    mHatGlobalMin      = settingsPtr->parm("PhaseSpace:mHatMinSecond");
    mHatGlobalMax      = settingsPtr->parm("PhaseSpace:mHatMaxSecond");
    pTHatGlobalMin     = settingsPtr->parm("PhaseSpace:pTHatMinSecond");
    pTHatGlobalMax     = settingsPtr->parm("PhaseSpace:pTHatMaxSecond");
  }

  // Cutoff against divergences at pT -> 0.
  pTHatMinDiverge      = settingsPtr->parm("PhaseSpace:pTHatMinDiverge");

  // When to use Breit-Wigners.
  useBreitWigners      = settingsPtr->flag("PhaseSpace:useBreitWigners");
  minWidthBreitWigners = settingsPtr->parm("PhaseSpace:minWidthBreitWigners");

  // Whether generation is with variable energy.
  doEnergySpread       = settingsPtr->flag("Beams:allowMomentumSpread");

  // Flags for maximization information and violation handling.
  showSearch           = settingsPtr->flag("PhaseSpace:showSearch");
  showViolation        = settingsPtr->flag("PhaseSpace:showViolation");
  increaseMaximum      = settingsPtr->flag("PhaseSpace:increaseMaximum");

  // Know whether a Z0 is pure Z0 or admixed with gamma*.
  gmZmodeGlobal        = settingsPtr->mode("WeakZ0:gmZmode");

  // Flags if user should be allowed to reweight cross section.
  canModifySigma   = (userHooksPtr != 0)
                   ? userHooksPtr->canModifySigma() : false;
  canBiasSelection = (userHooksPtr != 0)
                   ? userHooksPtr->canBiasSelection() : false;

  // Parameters for simplified reweighting of 2 -> 2 processes.
  canBias2Sel      = settingsPtr->flag("PhaseSpace:bias2Selection");
  bias2SelPow      = settingsPtr->parm("PhaseSpace:bias2SelectionPow");
  bias2SelRef      = settingsPtr->parm("PhaseSpace:bias2SelectionRef");

  // Possibility to recalculate mass for Les Houches input.
  mRecalculate     = settingsPtr->parm("LesHouches:mRecalculate");

  // Default event-specific kinematics properties.
  x1H             = 1.;
  x2H             = 1.;
  m3              = 0.;
  m4              = 0.;
  m5              = 0.;
  s3              = m3 * m3;
  s4              = m4 * m4;
  s5              = m5 * m5;
  mHat            = eCM;
  sH              = s;
  tH              = 0.;
  uH              = 0.;
  pTH             = 0.;
  theta           = 0.;
  phi             = 0.;
  runBW3H         = 1.;
  runBW4H         = 1.;
  runBW5H         = 1.;

  // Default cross section information.
  sigmaNw         = 0.;
  sigmaMx         = 0.;
  sigmaPos        = 0.;
  sigmaNeg        = 0.;
  newSigmaMx      = false;
  biasWt          = 1.;

}

//--------------------------------------------------------------------------

// Allow for nonisotropic decays when ME's available.

void PhaseSpace::decayKinematics( Event& process) {

  // Identify sets of sister partons.
  int iResEnd = 4;
  for (int iResBeg = 5; iResBeg < process.size(); ++iResBeg) {
    if (iResBeg <= iResEnd) continue;
    iResEnd = iResBeg;
    while ( iResEnd < process.size() - 1
      && process[iResEnd + 1].mother1() == process[iResBeg].mother1()
      && process[iResEnd + 1].mother2() == process[iResBeg].mother2() )
      ++iResEnd;

    // Check that at least one of them is a resonance.
    bool hasRes = false;
    for (int iRes = iResBeg; iRes <= iResEnd; ++iRes)
      if ( !process[iRes].isFinal() ) hasRes = true;
    if ( !hasRes ) continue;

    // Evaluate matrix element and decide whether to keep kinematics.
    double decWt = sigmaProcessPtr->weightDecay( process, iResBeg, iResEnd);
    if (decWt < 0.) infoPtr->errorMsg("Warning in PhaseSpace::decay"
      "Kinematics: negative angular weight");
    if (decWt > 1.) infoPtr->errorMsg("Warning in PhaseSpace::decay"
      "Kinematics: angular weight above unity");
    while (decWt < rndmPtr->flat() ) {

      // Find resonances for which to redo decay angles.
      for (int iRes = iResBeg; iRes < process.size(); ++iRes) {
        if ( process[iRes].isFinal() ) continue;
        int iResMother = iRes;
        while (iResMother > iResEnd)
          iResMother = process[iResMother].mother1();
        if (iResMother < iResBeg) continue;

        // Do decay of this mother isotropically in phase space.
        decayKinematicsStep( process, iRes);

      // End loop over resonance decay chains.
      }

      // Ready to allow new test of matrix element.
      decWt = sigmaProcessPtr->weightDecay( process, iResBeg, iResEnd);
      if (decWt < 0.) infoPtr->errorMsg("Warning in PhaseSpace::decay"
        "Kinematics: negative angular weight");
      if (decWt > 1.) infoPtr->errorMsg("Warning in PhaseSpace::decay"
        "Kinematics: angular weight above unity");
    }

  // End loop over sets of sister resonances/partons.
  }

}

//--------------------------------------------------------------------------

// Reselect decay products momenta isotropically in phase space.
// Does not redo secondary vertex position!

void PhaseSpace::decayKinematicsStep( Event& process, int iRes) {

   // Multiplicity and mother mass and four-momentum.
   int    i1   = process[iRes].daughter1();
   int    mult = process[iRes].daughter2() + 1 - i1;
   double m0   = process[iRes].m();
   Vec4   pRes = process[iRes].p();

  // Description of two-body decays as simple special case.
  if (mult == 2) {

    // Products and product masses.
    int    i2   = i1 + 1;
    double m1t  = process[i1].m();
    double m2t  = process[i2].m();

    // Energies and absolute momentum in the rest frame.
    double e1   = 0.5 * (m0*m0 + m1t*m1t - m2t*m2t) / m0;
    double e2   = 0.5 * (m0*m0 + m2t*m2t - m1t*m1t) / m0;
    double p12  = 0.5 * sqrtpos( (m0 - m1t - m2t) * (m0 + m1t + m2t)
      * (m0 + m1t - m2t) * (m0 - m1t + m2t) ) / m0;

    // Pick isotropic angles to give three-momentum.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi12    = 2. * M_PI * rndmPtr->flat();
    double pX       = p12 * sinTheta * cos(phi12);
    double pY       = p12 * sinTheta * sin(phi12);
    double pZ       = p12 * cosTheta;

    // Fill four-momenta in mother rest frame and then boost to lab frame.
    Vec4 p1(  pX,  pY,  pZ, e1);
    Vec4 p2( -pX, -pY, -pZ, e2);
    p1.bst( pRes );
    p2.bst( pRes );

    // Done for two-body decay.
    process[i1].p( p1 );
    process[i2].p( p2 );
    return;
  }

  // Description of three-body decays as semi-simple special case.
  if (mult == 3) {

    // Products and product masses.
    int    i2      = i1 + 1;
    int    i3      = i2 + 1;
    double m1t     = process[i1].m();
    double m2t     = process[i2].m();
    double m3t     = process[i3].m();
    double mDiff   = m0 - (m1t + m2t + m3t);

    // Kinematical limits for 2+3 mass. Maximum phase-space weight.
    double m23Min  = m2t + m3t;
    double m23Max  = m0 - m1t;
    double p1Max   = 0.5 * sqrtpos( (m0 - m1t - m23Min)
      * (m0 + m1t + m23Min) * (m0 + m1t - m23Min)
      * (m0 - m1t + m23Min) ) / m0;
    double p23Max  = 0.5 * sqrtpos( (m23Max - m2t - m3t)
      * (m23Max + m2t + m3t) * (m23Max + m2t - m3t)
      * (m23Max - m2t + m3t) ) / m23Max;
    double wtPSmax = 0.5 * p1Max * p23Max;

    // Pick an intermediate mass m23 flat in the allowed range.
    double wtPS, m23, p1Abs, p23Abs;
    do {
      m23 = m23Min + rndmPtr->flat() * mDiff;

      // Translate into relative momenta and find phase-space weight.
      p1Abs  = 0.5 * sqrtpos( (m0 - m1t - m23) * (m0 + m1t + m23)
        * (m0 + m1t - m23) * (m0 - m1t + m23) ) / m0;
      p23Abs = 0.5 * sqrtpos( (m23 - m2t - m3t) * (m23 + m2t + m3t)
        * (m23 + m2t - m3t) * (m23 - m2t + m3t) ) / m23;
      wtPS   = p1Abs * p23Abs;

    // If rejected, try again with new invariant masses.
    } while ( wtPS < rndmPtr->flat() * wtPSmax );

    // Set up m23 -> m2 + m3 isotropic in its rest frame.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phi23    = 2. * M_PI * rndmPtr->flat();
    double pX       = p23Abs * sinTheta * cos(phi23);
    double pY       = p23Abs * sinTheta * sin(phi23);
    double pZ       = p23Abs * cosTheta;
    double e2       = sqrt( m2t*m2t + p23Abs*p23Abs);
    double e3       = sqrt( m3t*m3t + p23Abs*p23Abs);
    Vec4 p2(  pX,  pY,  pZ, e2);
    Vec4 p3( -pX, -pY, -pZ, e3);

    // Set up 0 -> 1 + 23 isotropic in its rest frame.
    cosTheta        = 2. * rndmPtr->flat() - 1.;
    sinTheta        = sqrt(1. - cosTheta*cosTheta);
    phi23           = 2. * M_PI * rndmPtr->flat();
    pX              = p1Abs * sinTheta * cos(phi23);
    pY              = p1Abs * sinTheta * sin(phi23);
    pZ              = p1Abs * cosTheta;
    double e1       = sqrt( m1t*m1t + p1Abs*p1Abs);
    double e23      = sqrt( m23*m23 + p1Abs*p1Abs);
    Vec4 p1( pX, pY, pZ, e1);

    // Boost 2 + 3 to the 0 rest frame and then boost to lab frame.
    Vec4 p23( -pX, -pY, -pZ, e23);
    p2.bst( p23 );
    p3.bst( p23 );
    p1.bst( pRes );
    p2.bst( pRes );
    p3.bst( pRes );

    // Done for three-body decay.
    process[i1].p( p1 );
    process[i2].p( p2 );
    process[i3].p( p3 );
    return;
  }

  // Do a multibody decay using the M-generator algorithm.

  // Set up masses and four-momenta in a vector, with mother in slot 0.
  vector mProd;
  mProd.push_back( m0);
  for (int i = i1; i <= process[iRes].daughter2(); ++i)
    mProd.push_back( process[i].m() );
  vector pProd;
  pProd.push_back( pRes);

  // Sum of daughter masses.
  double mSum    = mProd[1];
  for (int i = 2; i <= mult; ++i) mSum += mProd[i];
  double mDiff   = m0 - mSum;
   
  // Begin setup of intermediate invariant masses.
  vector mInv;
  for (int i = 0; i <= mult; ++i) mInv.push_back( mProd[i]);

  // Calculate the maximum weight in the decay.
  double wtPSmax = 1. / WTCORRECTION[mult];
  double mMaxWT  = mDiff + mProd[mult];
  double mMinWT  = 0.;
  for (int i = mult - 1; i > 0; --i) {
    mMaxWT      += mProd[i];
    mMinWT      += mProd[i+1];
    double mNow  = mProd[i];
    wtPSmax *= 0.5 * sqrtpos( (mMaxWT - mMinWT - mNow)
      * (mMaxWT + mMinWT + mNow) * (mMaxWT + mMinWT - mNow)
      * (mMaxWT - mMinWT + mNow) ) / mMaxWT;
  }

  // Begin loop to find the set of intermediate invariant masses.
  vector rndmOrd;
  double wtPS;
  do {
    wtPS  = 1.;

    // Find and order random numbers in descending order.
    rndmOrd.resize(0);
    rndmOrd.push_back(1.);
    for (int i = 1; i < mult - 1; ++i) {
      double rndm = rndmPtr->flat();
      rndmOrd.push_back(rndm);
      for (int j = i - 1; j > 0; --j) {
        if (rndm > rndmOrd[j]) swap( rndmOrd[j], rndmOrd[j+1] );
        else break;
      }
    }
    rndmOrd.push_back(0.);
  
    // Translate into intermediate masses and find weight.
    for (int i = mult - 1; i > 0; --i) {
      mInv[i] = mInv[i+1] + mProd[i] + (rndmOrd[i-1] - rndmOrd[i]) * mDiff;
      wtPS   *= 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - mProd[i])
        * (mInv[i] + mInv[i+1] + mProd[i]) * (mInv[i] + mInv[i+1] - mProd[i])
        * (mInv[i] - mInv[i+1] + mProd[i]) ) / mInv[i];
    }

  // If rejected, try again with new invariant masses.
  } while ( wtPS < rndmPtr->flat() * wtPSmax );

  // Perform two-particle decays in the respective rest frame.
  vector pInv;
  pInv.resize(mult + 1);
  for (int i = 1; i < mult; ++i) {
    double p12 = 0.5 * sqrtpos( (mInv[i] - mInv[i+1] - mProd[i])
      * (mInv[i] + mInv[i+1] + mProd[i]) * (mInv[i] + mInv[i+1] - mProd[i])
      * (mInv[i] - mInv[i+1] + mProd[i]) ) / mInv[i];

    // Isotropic angles give three-momentum.
    double cosTheta = 2. * rndmPtr->flat() - 1.;
    double sinTheta = sqrt(1. - cosTheta*cosTheta);
    double phiLoc   = 2. * M_PI * rndmPtr->flat();
    double pX       = p12 * sinTheta * cos(phiLoc);
    double pY       = p12 * sinTheta * sin(phiLoc);
    double pZ       = p12 * cosTheta;

    // Calculate energies, fill four-momenta.
    double eHad     = sqrt( mProd[i]*mProd[i] + p12*p12);
    double eInv     = sqrt( mInv[i+1]*mInv[i+1] + p12*p12);
    pProd.push_back( Vec4( pX, pY, pZ, eHad) );
    pInv[i+1].p( -pX, -pY, -pZ, eInv);
  }
  pProd.push_back( pInv[mult] );
  
  // Boost decay products to the mother rest frame and on to lab frame.
  pInv[1] = pProd[0];
  for (int iFrame = mult - 1; iFrame > 0; --iFrame)
    for (int i = iFrame; i <= mult; ++i) pProd[i].bst(pInv[iFrame]);

  // Done for multibody decay.
  for (int i = 1; i < mult; ++i)
    process[i1 + i - 1].p( pProd[i] );
  return;

}

//--------------------------------------------------------------------------

// Determine how 3-body phase space should be sampled.

void PhaseSpace::setup3Body() {

  // Check for massive t-channel propagator particles.
  int idTchan1    = abs( sigmaProcessPtr->idTchan1() );
  int idTchan2    = abs( sigmaProcessPtr->idTchan2() );
  mTchan1         = (idTchan1 == 0) ? pTHatMinDiverge
                                    : particleDataPtr->m0(idTchan1);
  mTchan2         = (idTchan2 == 0) ? pTHatMinDiverge
                                    : particleDataPtr->m0(idTchan2);
  sTchan1         = mTchan1 * mTchan1;
  sTchan2         = mTchan2 * mTchan2;

  // Find coefficients of different pT2 selection terms. Mirror choice.
  frac3Pow1       = sigmaProcessPtr->tChanFracPow1();
  frac3Pow2       = sigmaProcessPtr->tChanFracPow2();
  frac3Flat       = 1. - frac3Pow1 - frac3Pow2;
  useMirrorWeight = sigmaProcessPtr->useMirrorWeight();

}

//--------------------------------------------------------------------------

// Determine how phase space should be sampled.

bool PhaseSpace::setupSampling123(bool is2, bool is3, ostream& os) {

  // Optional printout.
  if (showSearch) os <<  "\n PYTHIA Optimization printout for "
    << sigmaProcessPtr->name() << "\n \n" << scientific << setprecision(3);

  // Check that open range in tau (+ set tauMin, tauMax).
  if (!limitTau(is2, is3)) return false;

  // Reset coefficients and matrices of equation system to solve.
  int binTau[8], binY[8], binZ[8];
  double vecTau[8], matTau[8][8], vecY[8], matY[8][8], vecZ[8], matZ[8][8];
  for (int i = 0; i < 8; ++i) {
    tauCoef[i] = 0.;
    yCoef[i]   = 0.;
    zCoef[i]   = 0.;
    binTau[i]  = 0;
    binY[i]    = 0;
    binZ[i]    = 0;
    vecTau[i]  = 0.;
    vecY[i]    = 0.;
    vecZ[i]    = 0.;
    for (int j = 0; j < 8; ++j) {
      matTau[i][j] = 0.;
      matY[i][j]   = 0.;
      matZ[i][j]   = 0.;
    }
  }
  sigmaMx  = 0.;
  sigmaNeg = 0.;
  
  // Number of used coefficients/points for each dimension: tau, y, c.
  nTau = (hasPointLeptons) ? 1 : 2;
  nY   = (hasPointLeptons) ? 1 : 5;
  nZ   = (is2) ? 5 : 1;

  // Identify if any resonances contribute in s-channel.
  idResA = sigmaProcessPtr->resonanceA();
  if (idResA != 0) {
     mResA = particleDataPtr->m0(idResA);
     GammaResA = particleDataPtr->mWidth(idResA);
     if (mHatMin > mResA + WIDTHMARGIN * GammaResA || (mHatMax > 0.
       && mHatMax < mResA - WIDTHMARGIN * GammaResA) ) idResA = 0;
  }
  idResB = sigmaProcessPtr->resonanceB();
  if (idResB != 0) {
     mResB = particleDataPtr->m0(idResB);
     GammaResB = particleDataPtr->mWidth(idResB);
     if (mHatMin > mResB + WIDTHMARGIN * GammaResB || (mHatMax > 0.
       && mHatMax < mResB - WIDTHMARGIN * GammaResB) ) idResB = 0;
  }
  if (idResA == 0 && idResB != 0) {
    idResA = idResB;
    mResA = mResB;
    GammaResA = GammaResB;
    idResB = 0;
  }

  // More sampling in tau if resonances in s-channel.
  if (idResA !=0 && !hasPointLeptons) {
    nTau += 2;
    tauResA = mResA * mResA / s;
    widResA = mResA * GammaResA / s;
  }
  if (idResB != 0 && !hasPointLeptons) {
    nTau += 2;
    tauResB = mResB * mResB / s;
    widResB = mResB * GammaResB / s;
  }
  
  // More sampling in tau (and different in y) if incoming lepton beams.
  if (hasLeptonBeams && !hasPointLeptons) ++nTau;

  // Special case when both resonances have same mass.
  sameResMass = false;
  if (idResB != 0 && abs(mResA - mResB) < SAMEMASS * (GammaResA + GammaResB))
    sameResMass = true;
    
  // Default z value and weight required for 2 -> 1. Number of dimensions.
  z = 0.;
  wtZ = 1.;
  int nVar = (is2) ? 3 : 2;

  // Initial values, to be modified later.
  tauCoef[0] = 1.;
  yCoef[1]   = 0.5;
  yCoef[2]   = 0.5;
  zCoef[0]   = 1.;

  // Step through grid in tau. Set limits on y and z generation.
  for (int iTau = 0; iTau < nTau; ++iTau) {
    double posTau = 0.5;
    if (sameResMass && iTau > 1 && iTau < 6) posTau = (iTau < 4) ? 0.4 : 0.6;
    selectTau( iTau, posTau, is2);
    if (!limitY()) continue;
    if (is2 && !limitZ()) continue;

    // Step through grids in y and z.
    for (int iY = 0; iY < nY; ++iY) {
      selectY( iY, 0.5);
      for (int iZ = 0; iZ < nZ; ++iZ) {
        if (is2) selectZ( iZ, 0.5);
        double sigmaTmp = 0.;

        // 2 -> 1: calculate cross section, weighted by phase-space volume.
        if (!is2 && !is3) {
          sigmaProcessPtr->set1Kin( x1H, x2H, sH);
          sigmaTmp = sigmaProcessPtr->sigmaPDF();
          sigmaTmp *= wtTau * wtY;

        // 2 -> 2: calculate cross section, weighted by phase-space volume
        // and Breit-Wigners for masses
        } else if (is2) {
          sigmaProcessPtr->set2Kin( x1H, x2H, sH, tH, m3, m4,
            runBW3H, runBW4H);
          sigmaTmp = sigmaProcessPtr->sigmaPDF();
          sigmaTmp *= wtTau * wtY * wtZ * wtBW;

        // 2 -> 3: repeat internal 3-body phase space several times and
        // keep maximal cross section, weighted by phase-space volume
        // and Breit-Wigners for masses
        } else if (is3) {
          for (int iTry3 = 0; iTry3 < NTRY3BODY; ++iTry3) {
            if (!select3Body()) continue;
            sigmaProcessPtr->set3Kin( x1H, x2H, sH, p3cm, p4cm, p5cm,
              m3, m4, m5, runBW3H, runBW4H, runBW5H);
            double sigmaTry = sigmaProcessPtr->sigmaPDF();
            sigmaTry *= wtTau * wtY * wt3Body * wtBW;
            if (sigmaTry > sigmaTmp) sigmaTmp = sigmaTry;
          }
        }

        // Allow possibility for user to modify cross section. (3body??)
        if (canModifySigma) sigmaTmp
           *= userHooksPtr->multiplySigmaBy( sigmaProcessPtr, this, false);
        if (canBiasSelection) sigmaTmp
           *= userHooksPtr->biasSelectionBy( sigmaProcessPtr, this, false);
        if (canBias2Sel) sigmaTmp *= pow( pTH / bias2SelRef, bias2SelPow);

        // Check if current maximum exceeded.
        if (sigmaTmp > sigmaMx) sigmaMx = sigmaTmp;

        // Optional printout. Protect against negative cross sections.
        if (showSearch) os << " tau =" << setw(11) << tau << "  y ="
          << setw(11) << y << "  z =" << setw(11) << z
          << "  sigma =" << setw(11) << sigmaTmp << "\n";
        if (sigmaTmp < 0.) sigmaTmp = 0.;

        // Sum up tau cross-section pieces in points used.
        if (!hasPointLeptons) {
          binTau[iTau]      += 1;
          vecTau[iTau]      += sigmaTmp;
          matTau[iTau][0]   += 1. / intTau0;
          matTau[iTau][1]   += (1. / intTau1) / tau;
          if (idResA != 0) {
            matTau[iTau][2] += (1. / intTau2) / (tau + tauResA);
            matTau[iTau][3] += (1. / intTau3)
              * tau / ( pow2(tau - tauResA) + pow2(widResA) );
          }
          if (idResB != 0) {
            matTau[iTau][4] += (1. / intTau4) / (tau + tauResB);
            matTau[iTau][5] += (1. / intTau5)
              * tau / ( pow2(tau - tauResB) + pow2(widResB) );
          }
          if (hasLeptonBeams) matTau[iTau][nTau - 1] += (1. / intTau6)
              * tau / max( LEPTONTAUMIN, 1. - tau);
        }

        // Sum up y cross-section pieces in points used.
        if (!hasPointLeptons) {
          binY[iY]      += 1;
          vecY[iY]      += sigmaTmp;
          matY[iY][0]   += (yMax / intY0) / cosh(y);
          matY[iY][1]   += (yMax / intY12) * (y + yMax);
          matY[iY][2]   += (yMax / intY12) * (yMax - y);
          if (!hasLeptonBeams) {
            matY[iY][3] += (yMax / intY34) * exp(y);
            matY[iY][4] += (yMax / intY34) * exp(-y);
          } else {
            matY[iY][3] += (yMax / intY56)
              / max( LEPTONXMIN, 1. - exp( y - yMax) );
            matY[iY][4] += (yMax / intY56)
              / max( LEPTONXMIN, 1. - exp(-y - yMax) );
          }
        }

        // Integrals over z expressions at tauMax, to be used below.
        if (is2) {
          double p2AbsMax   = 0.25 * (pow2(tauMax * s - s3 - s4)
            - 4. * s3 * s4) / (tauMax * s);
          double zMaxMax    = sqrtpos( 1. - pT2HatMin / p2AbsMax );
          double zPosMaxMax = max(ratio34, unity34 + zMaxMax);
          double zNegMaxMax = max(ratio34, unity34 - zMaxMax);
          double intZ0Max   = 2. * zMaxMax;
          double intZ12Max  = log( zPosMaxMax / zNegMaxMax);
          double intZ34Max  = 1. / zNegMaxMax - 1. / zPosMaxMax;
  
          // Sum up z cross-section pieces in points used.
          binZ[iZ]    += 1;
          vecZ[iZ]    += sigmaTmp;
          matZ[iZ][0] += 1.;
          matZ[iZ][1] += (intZ0Max / intZ12Max) / zNeg;
          matZ[iZ][2] += (intZ0Max / intZ12Max) / zPos;
          matZ[iZ][3] += (intZ0Max / intZ34Max) / pow2(zNeg);
          matZ[iZ][4] += (intZ0Max / intZ34Max) / pow2(zPos);
        }

      // End of loops over phase space points.
      }
    }
  }

  // Fail if no non-vanishing cross sections.
  if (sigmaMx <= 0.) {
    sigmaMx = 0.;
    return false;
  }

  // Solve respective equation system for better phase space coefficients.
  if (!hasPointLeptons) solveSys( nTau, binTau, vecTau, matTau, tauCoef);
  if (!hasPointLeptons) solveSys( nY, binY, vecY, matY, yCoef);
  if (is2)              solveSys( nZ, binZ, vecZ, matZ, zCoef);
  if (showSearch) os << "\n";

  // Provide cumulative sum of coefficients.
  tauCoefSum[0] = tauCoef[0];
    yCoefSum[0] =   yCoef[0];
    zCoefSum[0] =   zCoef[0];
  for (int i = 1; i < 8; ++ i) {
    tauCoefSum[i] = tauCoefSum[i - 1] + tauCoef[i];
      yCoefSum[i] =   yCoefSum[i - 1] +   yCoef[i];
      zCoefSum[i] =   zCoefSum[i - 1] +   zCoef[i];
  }
  // The last element should be > 1 to be on safe side in selection below.
  tauCoefSum[nTau - 1] = 2.;
    yCoefSum[nY   - 1] = 2.;
    zCoefSum[nZ   - 1] = 2.;
  
  
  // Begin find two most promising maxima among same points as before.
  int iMaxTau[NMAXTRY + 2], iMaxY[NMAXTRY + 2], iMaxZ[NMAXTRY + 2];
  double sigMax[NMAXTRY + 2];
  int nMax = 0;

  // Scan same grid as before in tau, y, z.
  for (int iTau = 0; iTau < nTau; ++iTau) {
    double posTau = 0.5;
    if (sameResMass && iTau > 1 && iTau < 6) posTau = (iTau < 4) ? 0.4 : 0.6;
    selectTau( iTau, posTau, is2);
    if (!limitY()) continue;
    if (is2 && !limitZ()) continue;
    for (int iY = 0; iY < nY; ++iY) {
      selectY( iY, 0.5);
      for (int iZ = 0; iZ < nZ; ++iZ) {
        if (is2) selectZ( iZ, 0.5);
        double sigmaTmp = 0.;

        // 2 -> 1: calculate cross section, weighted by phase-space volume.
        if (!is2 && !is3) {
          sigmaProcessPtr->set1Kin( x1H, x2H, sH);
          sigmaTmp = sigmaProcessPtr->sigmaPDF();
          sigmaTmp *= wtTau * wtY;

        // 2 -> 2: calculate cross section, weighted by phase-space volume
        // and Breit-Wigners for masses
        } else if (is2) {
          sigmaProcessPtr->set2Kin( x1H, x2H, sH, tH, m3, m4,
            runBW3H, runBW4H);
          sigmaTmp = sigmaProcessPtr->sigmaPDF();
          sigmaTmp *= wtTau * wtY * wtZ * wtBW;

        // 2 -> 3: repeat internal 3-body phase space several times and
        // keep maximal cross section, weighted by phase-space volume
        // and Breit-Wigners for masses
        } else if (is3) {
          for (int iTry3 = 0; iTry3 < NTRY3BODY; ++iTry3) {
            if (!select3Body()) continue;
            sigmaProcessPtr->set3Kin( x1H, x2H, sH, p3cm, p4cm, p5cm,
              m3, m4, m5, runBW3H, runBW4H, runBW5H);
            double sigmaTry = sigmaProcessPtr->sigmaPDF();
            sigmaTry *= wtTau * wtY * wt3Body * wtBW;
            if (sigmaTry > sigmaTmp) sigmaTmp = sigmaTry;
          }
        }

        // Allow possibility for user to modify cross section. (3body??)
        if (canModifySigma) sigmaTmp
           *= userHooksPtr->multiplySigmaBy( sigmaProcessPtr, this, false);
        if (canBiasSelection) sigmaTmp
           *= userHooksPtr->biasSelectionBy( sigmaProcessPtr, this, false);
        if (canBias2Sel) sigmaTmp *= pow( pTH / bias2SelRef, bias2SelPow);

        // Optional printout. Protect against negative cross section.
        if (showSearch) os << " tau =" << setw(11) << tau << "  y ="
          << setw(11) << y << "  z =" << setw(11) << z
          << "  sigma =" << setw(11) << sigmaTmp << "\n";
        if (sigmaTmp < 0.) sigmaTmp = 0.;

        // Check that point is not simply mirror of already found one.
        bool mirrorPoint = false;
        for (int iMove = 0; iMove < nMax; ++iMove)
          if (abs(sigmaTmp - sigMax[iMove]) < SAMESIGMA
            * (sigmaTmp + sigMax[iMove])) mirrorPoint = true;

        // Add to or insert in maximum list. Only first two count.
        if (!mirrorPoint) {
          int iInsert = 0;
          for (int iMove = nMax - 1; iMove >= -1; --iMove) {
            iInsert = iMove + 1;
            if (iInsert == 0 || sigmaTmp < sigMax[iMove]) break;
            iMaxTau[iMove + 1] = iMaxTau[iMove];
            iMaxY[iMove + 1] = iMaxY[iMove];
            iMaxZ[iMove + 1] = iMaxZ[iMove];
            sigMax[iMove + 1] = sigMax[iMove];
          }
          iMaxTau[iInsert] = iTau;
          iMaxY[iInsert] = iY;
          iMaxZ[iInsert] = iZ;
          sigMax[iInsert] = sigmaTmp;
          if (nMax < NMAXTRY) ++nMax;
        }

      // Found two most promising maxima.
      }
    }
  }
  if (showSearch) os << "\n";

  // Read out starting position for search.
  sigmaMx = sigMax[0];
  int beginVar = (hasPointLeptons) ? 2 : 0;
  for (int iMax = 0; iMax < nMax; ++iMax) {
    int iTau = iMaxTau[iMax];
    int iY = iMaxY[iMax];
    int iZ = iMaxZ[iMax];
    double tauVal = 0.5;
    double yVal = 0.5;
    double zVal = 0.5;
    int iGrid;
    double varVal, varNew, deltaVar, marginVar, sigGrid[3];

    // Starting point and step size in parameter space.
    for (int iRepeat = 0; iRepeat < 2; ++iRepeat) {
      // Run through (possibly a subset of) tau, y and z.
      for (int iVar = beginVar; iVar < nVar; ++iVar) {
        if (iVar == 0) varVal = tauVal;
        else if (iVar == 1) varVal = yVal;
        else varVal = zVal;
        deltaVar = (iRepeat == 0) ? 0.1
          : max( 0.01, min( 0.05, min( varVal - 0.02, 0.98 - varVal) ) );
        marginVar = (iRepeat == 0) ? 0.02 : 0.002;
        int moveStart = (iRepeat == 0 && iVar == 0) ? 0 : 1;
        for (int move = moveStart; move < 9; ++move) {
 
          // Define new parameter-space point by step in one dimension.
          if (move == 0) {
            iGrid = 1;
            varNew = varVal;
          } else if (move == 1) {
            iGrid = 2;
            varNew = varVal + deltaVar;
          } else if (move == 2) {
            iGrid = 0;
            varNew = varVal - deltaVar;
          } else if (sigGrid[2] >= max( sigGrid[0], sigGrid[1])
            && varVal + 2. * deltaVar < 1. - marginVar) {
            varVal += deltaVar;
            sigGrid[0] = sigGrid[1];
            sigGrid[1] = sigGrid[2];
            iGrid = 2;
            varNew = varVal + deltaVar;
          } else if (sigGrid[0] >= max( sigGrid[1], sigGrid[2])
            && varVal - 2. * deltaVar > marginVar) {
            varVal -= deltaVar;
            sigGrid[2] = sigGrid[1];
            sigGrid[1] = sigGrid[0];
            iGrid = 0;
            varNew = varVal - deltaVar;
          } else if (sigGrid[2] >= sigGrid[0]) {
            deltaVar *= 0.5;
            varVal += deltaVar;
            sigGrid[0] = sigGrid[1];
            iGrid = 1;
            varNew = varVal;
          } else {
            deltaVar *= 0.5;
            varVal -= deltaVar;
            sigGrid[2] = sigGrid[1];
            iGrid = 1;
            varNew = varVal;
          }
 
          // Convert to relevant variables and find derived new limits.
          bool insideLimits = true;
          if (iVar == 0) {
            tauVal = varNew;
            selectTau( iTau, tauVal, is2);
            if (!limitY()) insideLimits = false;
            if (is2 && !limitZ()) insideLimits = false;
            if (insideLimits) {
              selectY( iY, yVal);
              if (is2) selectZ( iZ, zVal);
            }
          } else if (iVar == 1) {
            yVal = varNew;
            selectY( iY, yVal);
          } else if (iVar == 2) {
            zVal = varNew;
            selectZ( iZ, zVal);
          }

          // Evaluate cross-section.
          double sigmaTmp = 0.;
          if (insideLimits) {

            // 2 -> 1: calculate cross section, weighted by phase-space volume.
            if (!is2 && !is3) {
              sigmaProcessPtr->set1Kin( x1H, x2H, sH);
              sigmaTmp = sigmaProcessPtr->sigmaPDF();
              sigmaTmp *= wtTau * wtY;

            // 2 -> 2: calculate cross section, weighted by phase-space volume
            // and Breit-Wigners for masses
            } else if (is2) {
              sigmaProcessPtr->set2Kin( x1H, x2H, sH, tH, m3, m4,
                runBW3H, runBW4H);
              sigmaTmp = sigmaProcessPtr->sigmaPDF();
              sigmaTmp *= wtTau * wtY * wtZ * wtBW;
  
            // 2 -> 3: repeat internal 3-body phase space several times and
            // keep maximal cross section, weighted by phase-space volume
            // and Breit-Wigners for masses
            } else if (is3) {
              for (int iTry3 = 0; iTry3 < NTRY3BODY; ++iTry3) {
                if (!select3Body()) continue;
                sigmaProcessPtr->set3Kin( x1H, x2H, sH, p3cm, p4cm, p5cm,
                  m3, m4, m5, runBW3H, runBW4H, runBW5H);
                double sigmaTry = sigmaProcessPtr->sigmaPDF();
                sigmaTry *= wtTau * wtY * wt3Body * wtBW;
                if (sigmaTry > sigmaTmp) sigmaTmp = sigmaTry;
              }
            }

            // Allow possibility for user to modify cross section.
            if (canModifySigma) sigmaTmp
              *= userHooksPtr->multiplySigmaBy( sigmaProcessPtr, this, false);
            if (canBiasSelection) sigmaTmp
              *= userHooksPtr->biasSelectionBy( sigmaProcessPtr, this, false);
            if (canBias2Sel) sigmaTmp *= pow( pTH / bias2SelRef, bias2SelPow);

            // Optional printout. Protect against negative cross section.
            if (showSearch) os << " tau =" << setw(11) << tau << "  y ="
              << setw(11) << y << "  z =" << setw(11) << z
              << "  sigma =" << setw(11) << sigmaTmp << "\n";
            if (sigmaTmp < 0.) sigmaTmp = 0.;
          }

          // Save new maximum. Final maximum.
          sigGrid[iGrid] = sigmaTmp;
          if (sigmaTmp > sigmaMx) sigmaMx = sigmaTmp;
        }
      }
    }
  }
  sigmaMx *= SAFETYMARGIN;
  sigmaPos = sigmaMx;

  // Optional printout.
  if (showSearch) os << "\n Final maximum = "  << setw(11) << sigmaMx << endl;

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Select a trial kinematics phase space point.
// Note: by In is meant the integral over the quantity multiplying
// coefficient cn. The sum of cn is normalized to unity.

bool PhaseSpace::trialKin123(bool is2, bool is3, bool inEvent, ostream& os) {

  // Allow for possibility that energy varies from event to event.
  if (doEnergySpread) {
    eCM       = infoPtr->eCM();
    s         = eCM * eCM;

    // Find shifted tauRes values.
    if (idResA !=0 && !hasPointLeptons) {
      tauResA = mResA * mResA / s;
      widResA = mResA * GammaResA / s;
    }
    if (idResB != 0 && !hasPointLeptons) {
      tauResB = mResB * mResB / s;
      widResB = mResB * GammaResB / s;
    }
  }

  // Choose tau according to h1(tau)/tau, where
  // h1(tau) = c0/I0 + (c1/I1) * 1/tau
  // + (c2/I2) / (tau + tauResA)
  // + (c3/I3) * tau / ((tau - tauResA)^2 + widResA^2)
  // + (c4/I4) / (tau + tauResB)
  // + (c5/I5) * tau / ((tau - tauResB)^2 + widResB^2)
  // + (c6/I6) * tau / (1 - tau).
  if (!limitTau(is2, is3)) return false;
  int iTau = 0;
  if (!hasPointLeptons) {
    double rTau = rndmPtr->flat();
    while (rTau > tauCoefSum[iTau]) ++iTau;
  }
  selectTau( iTau, rndmPtr->flat(), is2);

  // Choose y according to h2(y), where
  // h2(y) = (c0/I0) * 1/cosh(y)
  // + (c1/I1) * (y-ymin) + (c2/I2) * (ymax-y)
  // + (c3/I3) * exp(y) + (c4/i4) * exp(-y) (for hadron; for lepton instead)
  // + (c5/I5) * 1 / (1 - exp(y-ymax)) + (c6/I6) * 1 / (1 - exp(ymin-y)).
  if (!limitY()) return false;
  int iY = 0;
  if (!hasPointLeptons) {
    double rY = rndmPtr->flat();
    while (rY > yCoefSum[iY]) ++iY;
  }
  selectY( iY, rndmPtr->flat());

  // Choose z = cos(thetaHat) according to h3(z), where
  // h3(z) = c0/I0 + (c1/I1) * 1/(A - z) + (c2/I2) * 1/(A + z)
  // + (c3/I3) * 1/(A - z)^2 + (c4/I4) * 1/(A + z)^2,
  // where A = 1 + 2*(m3*m4/sH)^2 (= 1 for massless products).
  if (is2) {
    if (!limitZ()) return false;
    int iZ = 0;
    double rZ = rndmPtr->flat();
    while (rZ > zCoefSum[iZ]) ++iZ;
    selectZ( iZ, rndmPtr->flat());
  }
   
  // 2 -> 1: calculate cross section, weighted by phase-space volume.
  if (!is2 && !is3) {
    sigmaProcessPtr->set1Kin( x1H, x2H, sH);
    sigmaNw  = sigmaProcessPtr->sigmaPDF();
    sigmaNw *= wtTau * wtY;

  // 2 -> 2: calculate cross section, weighted by phase-space volume
  // and Breit-Wigners for masses
  } else if (is2) {
    sigmaProcessPtr->set2Kin( x1H, x2H, sH, tH, m3, m4, runBW3H, runBW4H);
    sigmaNw  = sigmaProcessPtr->sigmaPDF();
    sigmaNw *= wtTau * wtY * wtZ * wtBW;

  // 2 -> 3: also sample internal 3-body phase, weighted by
  // 2 -> 1 phase-space volume and Breit-Wigners for masses
  } else if (is3) {
    if (!select3Body()) sigmaNw = 0.;
    else {
      sigmaProcessPtr->set3Kin( x1H, x2H, sH, p3cm, p4cm, p5cm,
         m3, m4, m5, runBW3H, runBW4H, runBW5H);
      sigmaNw  = sigmaProcessPtr->sigmaPDF();
      sigmaNw *= wtTau * wtY * wt3Body * wtBW;
    }
  }

  // Allow possibility for user to modify cross section.
  if (canModifySigma) sigmaNw
    *= userHooksPtr->multiplySigmaBy( sigmaProcessPtr, this, inEvent);
  if (canBiasSelection) sigmaNw
    *= userHooksPtr->biasSelectionBy( sigmaProcessPtr, this, inEvent);
  if (canBias2Sel) sigmaNw *= pow( pTH / bias2SelRef, bias2SelPow);

  // Check if maximum violated.
  newSigmaMx = false;
  if (sigmaNw > sigmaMx) {
    infoPtr->errorMsg("Warning in PhaseSpace2to2tauyz::trialKin: "
      "maximum for cross section violated");

    // Violation strategy 1: increase maximum (always during initialization).
    if (increaseMaximum || !inEvent) {
      double violFact = SAFETYMARGIN * sigmaNw / sigmaMx;
      sigmaMx = SAFETYMARGIN * sigmaNw;
      newSigmaMx = true;
      if (showViolation) {
        if (violFact < 9.99) os << fixed;
        else                 os << scientific;
        os << " PYTHIA Maximum for " << sigmaProcessPtr->name()
           << " increased by factor " << setprecision(3) << violFact
           << " to " << scientific << sigmaMx << endl;
      }

    // Violation strategy 2: weight event (done in ProcessContainer).
    } else if (showViolation && sigmaNw > sigmaPos) {
      double violFact = sigmaNw / sigmaMx;
      if (violFact < 9.99) os << fixed;
      else                 os << scientific;
      os << " PYTHIA Maximum for " << sigmaProcessPtr->name()
         << " exceeded by factor " << setprecision(3) << violFact << endl;
      sigmaPos = sigmaNw;
    }
  }

  // Check if negative cross section.
  if (sigmaNw < sigmaNeg) {
    infoPtr->errorMsg("Warning in PhaseSpace2to2tauyz::trialKin:"
      " negative cross section set 0", "for " +  sigmaProcessPtr->name() );
    sigmaNeg = sigmaNw;

    // Optional printout of (all) violations.
    if (showViolation) os << " PYTHIA Negative minimum for "
      << sigmaProcessPtr->name() << " changed to " << scientific
      << setprecision(3) << sigmaNeg << endl;
  }
  if (sigmaNw < 0.) sigmaNw = 0.;

  // Set event weight, where relevant.
  biasWt = (canBiasSelection) ? userHooksPtr->biasedSelectionWeight() : 1.;
  if (canBias2Sel) biasWt /= pow( pTH / bias2SelRef, bias2SelPow);

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Find range of allowed tau values.

bool PhaseSpace::limitTau(bool is2, bool is3) {

  // Trivial reply for unresolved lepton beams.
  if (hasPointLeptons) {
    tauMin = 1.;
    tauMax = 1.;
    return true;
  }

  // Requirements from allowed mHat range.
  tauMin = sHatMin / s;
  tauMax = (mHatMax < mHatMin) ? 1. : min( 1., sHatMax / s);

  // Requirements from allowed pT range and masses.
  if (is2 || is3) {
    double mT3Min = sqrt(s3 + pT2HatMin);
    double mT4Min = sqrt(s4 + pT2HatMin);
    double mT5Min = (is3) ? sqrt(s5 + pT2HatMin) : 0.;
    tauMin = max( tauMin, pow2(mT3Min + mT4Min + mT5Min) / s);
  }
  
  // Check that there is an open range.
  return (tauMax > tauMin);
}

//--------------------------------------------------------------------------

// Find range of allowed y values.

bool PhaseSpace::limitY() {

  // Trivial reply for unresolved lepton beams.
  if (hasPointLeptons) {
    yMax = 1.;
    return true;
  }

  // Requirements from selected tau value.
  yMax = -0.5 * log(tau);

  // For lepton beams requirements from cutoff for f_e^e.
  double yMaxMargin = (hasLeptonBeams) ? yMax + LEPTONXLOGMAX : yMax;

  // Check that there is an open range.
  return (yMaxMargin > 0.);
}

//--------------------------------------------------------------------------

// Find range of allowed z = cos(theta) values.

bool PhaseSpace::limitZ() {

  // Default limits.
  zMin = 0.;
  zMax = 1.;

  // Requirements from pTHat limits.
  zMax = sqrtpos( 1. - pT2HatMin / p2Abs );
  if (pTHatMax > pTHatMin) zMin = sqrtpos( 1. - pT2HatMax / p2Abs );
 
  // Check that there is an open range.
  return (zMax > zMin);
}

//--------------------------------------------------------------------------

// Select tau according to a choice of shapes.

void PhaseSpace::selectTau(int iTau, double tauVal, bool is2) {

  // Trivial reply for unresolved lepton beams.
  if (hasPointLeptons) {
    tau = 1.;
    wtTau = 1.;
    sH = s;
    mHat = sqrt(sH);
    if (is2) {
      p2Abs = 0.25 * (pow2(sH - s3 - s4) - 4. * s3 * s4) / sH;
      pAbs = sqrtpos( p2Abs );
    }
    return;
  }

  // Contributions from s-channel resonances.
  double tRatA = 0.;
  double aLowA = 0.;
  double aUppA = 0.;
  if (idResA !=0) {
    tRatA = ((tauResA + tauMax) / (tauResA + tauMin)) * (tauMin / tauMax);
    aLowA = atan( (tauMin - tauResA) / widResA);
    aUppA = atan( (tauMax - tauResA) / widResA);
  }
  double tRatB = 0.;
  double aLowB = 0.;
  double aUppB = 0.;
  if (idResB != 0) {
    tRatB = ((tauResB + tauMax) / (tauResB + tauMin)) * (tauMin / tauMax);
    aLowB = atan( (tauMin - tauResB) / widResB);
    aUppB = atan( (tauMax - tauResB) / widResB);
  }
 
  // Contributions from 1 / (1 - tau)  for lepton beams.
  double aLowT = 0.;
  double aUppT = 0.;
  if (hasLeptonBeams) {
    aLowT = log( max( LEPTONTAUMIN, 1. - tauMin) );
    aUppT = log( max( LEPTONTAUMIN, 1. - tauMax) );
    intTau6 = aLowT - aUppT;
  }

  // Select according to 1/tau or 1/tau^2.
  if (iTau == 0) tau = tauMin * pow( tauMax / tauMin, tauVal);
  else if (iTau == 1) tau = tauMax * tauMin
    / (tauMin + (tauMax - tauMin) * tauVal);

  // Select according to 1 / (1 - tau) for lepton beams.
  else if (hasLeptonBeams && iTau == nTau - 1)
    tau = 1. - exp( aUppT + intTau6 * tauVal );

  // Select according to 1 / (tau * (tau + tauRes)) or
  // 1 / ((tau - tauRes)^2 + widRes^2) for resonances A and B.
  else if (iTau == 2) tau = tauResA * tauMin
    / ((tauResA + tauMin) * pow( tRatA, tauVal) - tauMin);
  else if (iTau == 3) tau = tauResA + widResA
    * tan( aLowA + (aUppA - aLowA) * tauVal);
  else if (iTau == 4) tau = tauResB * tauMin
    / ((tauResB + tauMin) * pow( tRatB, tauVal) - tauMin);
  else if (iTau == 5) tau = tauResB + widResB
    * tan( aLowB + (aUppB - aLowB) * tauVal);

  // Phase space weight in tau.
  intTau0 = log( tauMax / tauMin);
  intTau1 = (tauMax - tauMin) / (tauMax * tauMin);
  double invWtTau = (tauCoef[0] / intTau0) + (tauCoef[1] / intTau1) / tau;
  if (idResA != 0) {
    intTau2 = -log(tRatA) / tauResA;
    intTau3 = (aUppA - aLowA) / widResA;
    invWtTau += (tauCoef[2] / intTau2) / (tau + tauResA)
      + (tauCoef[3] / intTau3) * tau / ( pow2(tau - tauResA) + pow2(widResA) );
  }
  if (idResB != 0) {
    intTau4 = -log(tRatB) / tauResB;
    intTau5 = (aUppB - aLowB) / widResB;
    invWtTau += (tauCoef[4] / intTau4) / (tau + tauResB)
      + (tauCoef[5] / intTau5) * tau / ( pow2(tau - tauResB) + pow2(widResB) );
  }
  if (hasLeptonBeams)
    invWtTau += (tauCoef[nTau - 1] / intTau6)
      * tau / max( LEPTONTAUMIN, 1. - tau);
  wtTau = 1. / invWtTau;

  // Calculate sHat and absolute momentum of outgoing partons.
  sH = tau * s;
  mHat = sqrt(sH);
  if (is2) {
    p2Abs = 0.25 * (pow2(sH - s3 - s4) - 4. * s3 * s4) / sH;
    pAbs = sqrtpos( p2Abs );
  }

}

//--------------------------------------------------------------------------

// Select y according to a choice of shapes.

void PhaseSpace::selectY(int iY, double yVal) {

  // Trivial reply for unresolved lepton beams.
  if (hasPointLeptons) {
    y = 0.;
    wtY = 1.;
    x1H = 1.;
    x2H = 1.;
    return;
  }

  // For lepton beams skip options 3&4 and go straight to 5&6.
  if (hasLeptonBeams && iY > 2) iY += 2;

  // Standard expressions used below.
  double expYMax = exp( yMax );
  double expYMin = exp(-yMax );
  double atanMax = atan( expYMax );
  double atanMin = atan( expYMin );
  double aUppY = (hasLeptonBeams)
    ? log( max( LEPTONXMIN, LEPTONXMAX / tau - 1. ) ) : 0.;
  double aLowY = LEPTONXLOGMIN;

  // 1 / cosh(y).
  if (iY == 0) y = log( tan( atanMin + (atanMax - atanMin) * yVal ) );

  // y - y_min or mirrored y_max - y.
  else if (iY <= 2) y = yMax * (2. * sqrt(yVal) - 1.);
  
  // exp(y) or mirrored exp(-y).
  else if (iY <= 4) y = log( expYMin + (expYMax - expYMin) * yVal );

  // 1 / (1 - exp(y - y_max)) or mirrored 1 / (1 - exp(y_min - y)).
  else y = yMax - log( 1. + exp(aLowY + (aUppY - aLowY) * yVal) );

  // Mirror two cases.
  if (iY == 2 || iY == 4 || iY == 6) y = -y;

  // Phase space integral in y.
  intY0  = 2. * (atanMax - atanMin);
  intY12 = 0.5 * pow2(2. * yMax);
  intY34 = expYMax - expYMin;
  intY56 = aUppY - aLowY;
  double invWtY = (yCoef[0] / intY0) / cosh(y)
     + (yCoef[1] / intY12) * (y + yMax) + (yCoef[2] / intY12) * (yMax - y);
  if (!hasLeptonBeams) invWtY
    += (yCoef[3] / intY34) * exp(y)     + (yCoef[4] / intY34) * exp(-y);
  else invWtY
    += (yCoef[3] / intY56) / max( LEPTONXMIN, 1. - exp( y - yMax) )
    +  (yCoef[4] / intY56) / max( LEPTONXMIN, 1. - exp(-y - yMax) );
  wtY = 1. / invWtY;

  // Calculate x1 and x2.
  x1H = sqrt(tau) * exp(y);
  x2H = sqrt(tau) * exp(-y);
}

//--------------------------------------------------------------------------

// Select z = cos(theta) according to a choice of shapes.
// The selection is split in the positive- and negative-z regions,
// since a pTmax cut can remove the region around z = 0.

void PhaseSpace::selectZ(int iZ, double zVal) {

  // Mass-dependent dampening of pT -> 0 limit.
  ratio34 = max(TINY, 2. * s3 * s4 / pow2(sH));
  unity34 = 1. + ratio34;
  double ratiopT2 = 2. * pT2HatMin / max( SHATMINZ, sH);
  if (ratiopT2 < PT2RATMINZ) ratio34 = max( ratio34, ratiopT2);

  // Common expressions in z limits.
  double zPosMax = max(ratio34, unity34 + zMax);
  double zNegMax = max(ratio34, unity34 - zMax);
  double zPosMin = max(ratio34, unity34 + zMin);
  double zNegMin = max(ratio34, unity34 - zMin);

  // Flat in z.
  if (iZ == 0) {
    if (zVal < 0.5) z = -(zMax + (zMin - zMax) * 2. * zVal);
    else z = zMin + (zMax - zMin) * (2. * zVal - 1.);

  // 1 / (unity34 - z).
  } else if (iZ == 1) {
    double areaNeg = log(zPosMax / zPosMin);
    double areaPos = log(zNegMin / zNegMax);
    double area = areaNeg + areaPos;
    if (zVal * area < areaNeg) {
      double zValMod = zVal * area / areaNeg;
      z = unity34 - zPosMax * pow(zPosMin / zPosMax, zValMod);
    } else {
      double zValMod = (zVal * area - areaNeg)/ areaPos;
      z = unity34 - zNegMin * pow(zNegMax / zNegMin, zValMod);
    }

  // 1 / (unity34 + z).
  } else if (iZ == 2) {
    double areaNeg = log(zNegMin / zNegMax);
    double areaPos = log(zPosMax / zPosMin);
    double area = areaNeg + areaPos;
    if (zVal * area < areaNeg) {
      double zValMod = zVal * area / areaNeg;
      z = zNegMax * pow(zNegMin / zNegMax, zValMod) - unity34;
    } else {
      double zValMod = (zVal * area - areaNeg)/ areaPos;
      z = zPosMin * pow(zPosMax / zPosMin, zValMod) - unity34;
    }

  // 1 / (unity34 - z)^2.
  } else if (iZ == 3) {
    double areaNeg = 1. / zPosMin - 1. / zPosMax;
    double areaPos = 1. / zNegMax - 1. / zNegMin;
    double area = areaNeg + areaPos;
    if (zVal * area < areaNeg) {
      double zValMod = zVal * area / areaNeg;
      z = unity34 - 1. / (1./zPosMax + areaNeg * zValMod);
    } else {
      double zValMod = (zVal * area - areaNeg)/ areaPos;
      z = unity34 - 1. / (1./zNegMin + areaPos * zValMod);
    }

  // 1 / (unity34 + z)^2.
  } else if (iZ == 4) {
    double areaNeg = 1. / zNegMax - 1. / zNegMin;
    double areaPos = 1. / zPosMin - 1. / zPosMax;
    double area = areaNeg + areaPos;
    if (zVal * area < areaNeg) {
      double zValMod = zVal * area / areaNeg;
      z = 1. / (1./zNegMax - areaNeg * zValMod) - unity34;
    } else {
      double zValMod = (zVal * area - areaNeg)/ areaPos;
      z = 1. / (1./zPosMin - areaPos * zValMod) - unity34;
    }
  }

  // Safety check for roundoff errors. Combinations with z.
  if (z < 0.) z = min(-zMin, max(-zMax, z));
  else z = min(zMax, max(zMin, z));
  zNeg = max(ratio34, unity34 - z);
  zPos = max(ratio34, unity34 + z);

  // Phase space integral in z.
  double intZ0 = 2. * (zMax - zMin);
  double intZ12 = log( (zPosMax * zNegMin) / (zPosMin * zNegMax) );
  double intZ34 = 1. / zPosMin - 1. / zPosMax + 1. / zNegMax
    - 1. / zNegMin;
  wtZ = mHat * pAbs / ( (zCoef[0] / intZ0) + (zCoef[1] / intZ12) / zNeg
    + (zCoef[2] / intZ12) / zPos + (zCoef[3] / intZ34) / pow2(zNeg)
    + (zCoef[4] / intZ34) / pow2(zPos) );

  // Calculate tHat and uHat. Also gives pTHat.
  double sH34 = -0.5 * (sH - s3 - s4);
  tH  = sH34 + mHat * pAbs * z;
  uH  = sH34 - mHat * pAbs * z;
  pTH = sqrtpos( (tH * uH - s3 * s4) / sH);

}

//--------------------------------------------------------------------------

// Select three-body phase space according to a cylindrically based form
// that can be chosen to favour low pT based on the form of propagators.

bool PhaseSpace::select3Body() {

  // Upper and lower limits of pT choice for 4 and 5.
  double m35S = pow2(m3 + m5);
  double pT4Smax = 0.25 * ( pow2(sH - s4 - m35S) - 4. * s4 * m35S ) / sH;
  if (pTHatMax > pTHatMin) pT4Smax = min( pT2HatMax, pT4Smax);
  double pT4Smin = pT2HatMin;
  double m34S = pow2(m3 + m4);
  double pT5Smax = 0.25 * ( pow2(sH - s5 - m34S) - 4. * s5 * m34S ) / sH;
  if (pTHatMax > pTHatMin) pT5Smax = min( pT2HatMax, pT5Smax);
  double pT5Smin = pT2HatMin;

  // Check that pT ranges not closed.
  if ( pT4Smax < pow2(pTHatMin + MASSMARGIN) ) return false;
  if ( pT5Smax < pow2(pTHatMin + MASSMARGIN) ) return false;

  // Select pT4S according to c0 + c1/(M^2 + pT^2) + c2/(M^2 + pT^2)^2.
  double pTSmaxProp = pT4Smax + sTchan1;
  double pTSminProp = pT4Smin + sTchan1;
  double pTSratProp = pTSmaxProp / pTSminProp;
  double pTSdiff    = pT4Smax - pT4Smin;
  double rShape     = rndmPtr->flat();
  double pT4S       = 0.;
  if (rShape < frac3Flat) pT4S = pT4Smin + rndmPtr->flat() * pTSdiff;
  else if (rShape < frac3Flat + frac3Pow1) pT4S = max( pT2HatMin,
    pTSminProp * pow( pTSratProp, rndmPtr->flat() ) - sTchan1 );
  else pT4S = max( pT2HatMin, pTSminProp * pTSmaxProp
    / (pTSminProp + rndmPtr->flat()* pTSdiff) - sTchan1 );
  double wt4 = pTSdiff / ( frac3Flat
    + frac3Pow1 * pTSdiff / (log(pTSratProp) * (pT4S + sTchan1))
    + frac3Pow2 * pTSminProp * pTSmaxProp / pow2(pT4S + sTchan1) );

  // Select pT5S according to c0 + c1/(M^2 + pT^2) + c2/(M^2 + pT^2)^2.
  pTSmaxProp  = pT5Smax + sTchan2;
  pTSminProp  = pT5Smin + sTchan2;
  pTSratProp  = pTSmaxProp / pTSminProp;
  pTSdiff     = pT5Smax - pT5Smin;
  rShape      = rndmPtr->flat();
  double pT5S = 0.;
  if (rShape < frac3Flat) pT5S = pT5Smin + rndmPtr->flat() * pTSdiff;
  else if (rShape < frac3Flat + frac3Pow1) pT5S = max( pT2HatMin,
    pTSminProp * pow( pTSratProp, rndmPtr->flat() ) - sTchan2 );
  else pT5S = max( pT2HatMin, pTSminProp * pTSmaxProp
    / (pTSminProp + rndmPtr->flat()* pTSdiff) - sTchan2 );
  double wt5 = pTSdiff / ( frac3Flat
    + frac3Pow1 * pTSdiff / (log(pTSratProp) * (pT5S + sTchan2))
    + frac3Pow2 * pTSminProp * pTSmaxProp / pow2(pT5S + sTchan2) );

  // Select azimuthal angles and check that third pT in range.
  double phi4 = 2. * M_PI * rndmPtr->flat();
  double phi5 = 2. * M_PI * rndmPtr->flat();
  double pT3S = max( 0., pT4S + pT5S + 2. * sqrt(pT4S * pT5S)
    * cos(phi4 - phi5) );
  if ( pT3S < pT2HatMin || (pTHatMax > pTHatMin && pT3S > pT2HatMax) )
    return false;

  // Calculate transverse masses and check that phase space not closed.
  double sT3 = s3 + pT3S;
  double sT4 = s4 + pT4S;
  double sT5 = s5 + pT5S;
  double mT3 = sqrt(sT3);
  double mT4 = sqrt(sT4);
  double mT5 = sqrt(sT5);
  if ( mT3 + mT4 + mT5 + MASSMARGIN > mHat ) return false;

  // Select rapidity for particle 3 and check that phase space not closed.
  double m45S = pow2(mT4 + mT5);
  double y3max = log( ( sH + sT3 - m45S + sqrtpos( pow2(sH - sT3 - m45S)
    - 4 * sT3 * m45S ) ) / (2. * mHat * mT3) );
  if (y3max < YRANGEMARGIN) return false;
  double y3    = (2. * rndmPtr->flat() - 1.) * (1. -  YRANGEMARGIN) * y3max;
  double pz3   = mT3 * sinh(y3);
  double e3    = mT3 * cosh(y3);

  // Find momentum transfers in the two mirror solutions (in 4-5 frame).
  double pz45  = -pz3;
  double e45   = mHat - e3;
  double sT45  = e45 * e45 - pz45 * pz45;
  double lam45 = sqrtpos( pow2(sT45 - sT4 - sT5) - 4. * sT4 * sT5 );
  if (lam45 < YRANGEMARGIN * sH) return false;
  double lam4e = sT45 + sT4 - sT5;
  double lam5e = sT45 + sT5 - sT4;
  double tFac  = -0.5 * mHat / sT45;
  double t1Pos = tFac * (e45 - pz45) * (lam4e - lam45);
  double t1Neg = tFac * (e45 - pz45) * (lam4e + lam45);
  double t2Pos = tFac * (e45 + pz45) * (lam5e - lam45);
  double t2Neg = tFac * (e45 + pz45) * (lam5e + lam45);
 
  // Construct relative mirror weights and make choice.
  double wtPosUnnorm = 1.;
  double wtNegUnnorm = 1.;
  if (useMirrorWeight) {
    wtPosUnnorm  = 1./ pow2( (t1Pos - sTchan1) * (t2Pos - sTchan2) );
    wtNegUnnorm  = 1./ pow2( (t1Neg - sTchan1) * (t2Neg - sTchan2) );
  }
  double wtPos   = wtPosUnnorm / (wtPosUnnorm + wtNegUnnorm);
  double wtNeg   = wtNegUnnorm / (wtPosUnnorm + wtNegUnnorm);
  double epsilon = (rndmPtr->flat() < wtPos) ? 1. : -1.;
 
  // Construct four-vectors in rest frame of subprocess.
  double px4 = sqrt(pT4S) * cos(phi4);
  double py4 = sqrt(pT4S) * sin(phi4);
  double px5 = sqrt(pT5S) * cos(phi5);
  double py5 = sqrt(pT5S) * sin(phi5);
  double pz4 = 0.5 * (pz45 * lam4e + epsilon * e45 * lam45) / sT45;
  double pz5 = pz45 - pz4;
  double e4  = sqrt(sT4 + pz4 * pz4);
  double e5  = sqrt(sT5 + pz5 * pz5);
  p3cm       = Vec4( -(px4 + px5), -(py4 + py5), pz3, e3);
  p4cm       = Vec4( px4, py4, pz4, e4);
  p5cm       = Vec4( px5, py5, pz5, e5);

  // Total weight to associate with kinematics choice.
  wt3Body    = wt4 * wt5 * (2. * y3max) / (128. * pow3(M_PI) * lam45);
  wt3Body   *= (epsilon > 0.) ? 1. / wtPos : 1. / wtNeg;
  
  // Cross section of form |M|^2/(2 sHat) dPS_3 so need 1/(2 sHat).
  wt3Body   /= (2. * sH);
 
  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Solve linear equation system for better phase space coefficients.
  
void PhaseSpace::solveSys( int n, int bin[8], double vec[8],
  double mat[8][8], double coef[8], ostream& os) {

  // Optional printout.
  if (showSearch) {
    os << "\n Equation system: " << setw(5) << bin[0];
    for (int j = 0; j < n; ++j) os << setw(12) << mat[0][j];
    os << setw(12) << vec[0] << "\n";
    for (int i = 1; i < n; ++i) {
      os << "                  " << setw(5) << bin[i];
      for (int j = 0; j < n; ++j) os << setw(12) << mat[i][j];
      os << setw(12) << vec[i] << "\n";
    }
  }

  // Local variables.
  double vecNor[8], coefTmp[8];
  for (int i = 0; i < n; ++i) coefTmp[i] = 0.;

  // Check if equation system solvable.
  bool canSolve = true;
  for (int i = 0; i < n; ++i) if (bin[i] == 0) canSolve = false;
  double vecSum = 0.;
  for (int i = 0; i < n; ++i) vecSum += vec[i];
  if (abs(vecSum) < TINY) canSolve = false;

  // Solve to find relative importance of cross-section pieces.
  if (canSolve) {
    for (int i = 0; i < n; ++i) vecNor[i] = max( 0.1, vec[i] / vecSum);
    for (int k = 0; k < n - 1; ++k) {
      for (int i = k + 1; i < n; ++i) {
        if (abs(mat[k][k]) < TINY) {canSolve = false; break;}
        double ratio = mat[i][k] / mat[k][k];
        vec[i] -= ratio * vec[k];
        for (int j = k; j < n; ++j) mat[i][j] -= ratio * mat[k][j];
      }
      if (!canSolve) break;
    }
    if (canSolve) {
      for (int k = n - 1; k >= 0; --k) {
        for (int j = k + 1; j < n; ++j) vec[k] -= mat[k][j] * coefTmp[j];
        coefTmp[k] = vec[k] / mat[k][k];
      }
    }
  }

  // Share evenly if failure.
  if (!canSolve) for (int i = 0; i < n; ++i) {
    coefTmp[i] = 1.;
    vecNor[i] = 0.1;
    if (vecSum > TINY) vecNor[i] = max(0.1, vec[i] / vecSum);
  }

  // Normalize coefficients, with piece shared democratically.
  double coefSum = 0.;
  vecSum = 0.;
  for (int i = 0; i < n; ++i) {
    coefTmp[i] = max( 0., coefTmp[i]);
    coefSum += coefTmp[i];
    vecSum += vecNor[i];
  }
  if (coefSum > 0.) for (int i = 0; i < n; ++i) coef[i] = EVENFRAC / n
    + (1. - EVENFRAC) * 0.5 * (coefTmp[i] / coefSum + vecNor[i] / vecSum);
  else for (int i = 0; i < n; ++i) coef[i] = 1. / n;

  // Optional printout.
  if (showSearch) {
    os << " Solution:             ";
    for (int i = 0; i < n; ++i) os << setw(12) << coef[i];
    os << "\n";
  }
}

//--------------------------------------------------------------------------

// Setup mass selection for one resonance at a time - part 1.

void PhaseSpace::setupMass1(int iM) {

  // Identity for mass seletion; is 0 also for light quarks (not yet selected).
  if (iM == 3) idMass[iM] = abs(sigmaProcessPtr->id3Mass());
  if (iM == 4) idMass[iM] = abs(sigmaProcessPtr->id4Mass());
  if (iM == 5) idMass[iM] = abs(sigmaProcessPtr->id5Mass());

  // Masses and widths of resonances.
  if (idMass[iM] == 0) {
    mPeak[iM]  = 0.;
    mWidth[iM] = 0.;
    mMin[iM]   = 0.;
    mMax[iM]   = 0.;
  } else {
    mPeak[iM]  = particleDataPtr->m0(idMass[iM]);
    mWidth[iM] = particleDataPtr->mWidth(idMass[iM]);
    mMin[iM]   = particleDataPtr->mMin(idMass[iM]);
    mMax[iM]   = particleDataPtr->mMax(idMass[iM]);
    // gmZmode == 1 means pure photon propagator; set at lower mass limit.
    if (idMass[iM] == 23 && gmZmode == 1) mPeak[iM] = mMin[iM];
  }

  // Mass and width combinations for Breit-Wigners.
  sPeak[iM]    = mPeak[iM] * mPeak[iM];
  useBW[iM]    = useBreitWigners && (mWidth[iM] > minWidthBreitWigners);
  if (!useBW[iM]) mWidth[iM] = 0.;
  mw[iM]       = mPeak[iM] * mWidth[iM];
  wmRat[iM]    = (idMass[iM] == 0 || mPeak[iM] == 0.)
               ? 0. : mWidth[iM] / mPeak[iM];

  // Simple Breit-Wigner range, upper edge to be corrected subsequently.
  if (useBW[iM]) {
    mLower[iM] = mMin[iM];
    mUpper[iM] = mHatMax;
  }

}

//--------------------------------------------------------------------------

// Setup mass selection for one resonance at a time - part 2.

void PhaseSpace::setupMass2(int iM, double distToThresh) {

  // Store reduced Breit-Wigner range.
  if (mMax[iM] > mMin[iM]) mUpper[iM] = min( mUpper[iM], mMax[iM]);
  sLower[iM]     = mLower[iM] * mLower[iM];
  sUpper[iM]     = mUpper[iM] * mUpper[iM];

  // Prepare to select m3 by BW + flat + 1/s_3.
  // Determine relative coefficients by allowed mass range.
  if (distToThresh > THRESHOLDSIZE) {
    fracFlat[iM] = 0.1;
    fracInv[iM]  = 0.1;
  } else if (distToThresh > - THRESHOLDSIZE) {
    fracFlat[iM] = 0.25 - 0.15 * distToThresh / THRESHOLDSIZE;
    fracInv [iM] = 0.15 - 0.05 * distToThresh / THRESHOLDSIZE;
  } else {
   fracFlat[iM]  = 0.4;
   fracInv[iM]   = 0.2;
  }

  // For gamma*/Z0: increase 1/s_i part and introduce 1/s_i^2 part.
  fracInv2[iM]   = 0.;
  if (idMass[iM] == 23 && gmZmode == 0) {
    fracFlat[iM] *= 0.5;
    fracInv[iM]  = 0.5 * fracInv[iM] + 0.25;
    fracInv2[iM] = 0.25;
  } else if (idMass[iM] == 23 && gmZmode == 1) {
    fracFlat[iM] = 0.1;
    fracInv[iM]  = 0.4;
    fracInv2[iM] = 0.4;
  }

  // Normalization integrals for the respective contribution.
  atanLower[iM]  = atan( (sLower[iM] - sPeak[iM])/ mw[iM] );
  atanUpper[iM]  = atan( (sUpper[iM] - sPeak[iM])/ mw[iM] );
  intBW[iM]      = atanUpper[iM] - atanLower[iM];
  intFlat[iM]    = sUpper[iM] - sLower[iM];
  intInv[iM]     = log( sUpper[iM] / sLower[iM] );
  intInv2[iM]    = 1./sLower[iM] - 1./sUpper[iM];

}

//--------------------------------------------------------------------------

// Select Breit-Wigner-distributed or fixed masses.
  
void PhaseSpace::trialMass(int iM) {

  // References to masses to be set.
  double& mSet = (iM == 3) ? m3 : ( (iM == 4) ? m4 : m5 );
  double& sSet = (iM == 3) ? s3 : ( (iM == 4) ? s4 : s5 );

  // Distribution for m_i is BW + flat + 1/s_i + 1/s_i^2.
  if (useBW[iM]) {
    double pickForm = rndmPtr->flat();
    if (pickForm > fracFlat[iM] + fracInv[iM] + fracInv2[iM])
      sSet = sPeak[iM] + mw[iM] * tan( atanLower[iM]
           + rndmPtr->flat() * intBW[iM] );
    else if (pickForm > fracInv[iM] + fracInv2[iM])
      sSet = sLower[iM] + rndmPtr->flat() * (sUpper[iM] - sLower[iM]);
    else if (pickForm > fracInv2[iM])
      sSet = sLower[iM] * pow( sUpper[iM] / sLower[iM], rndmPtr->flat() );
    else sSet = sLower[iM] * sUpper[iM]
      / (sLower[iM] + rndmPtr->flat() * (sUpper[iM] - sLower[iM]));
    mSet = sqrt(sSet);

  // Else m_i is fixed at peak value.
  } else {
    mSet = mPeak[iM];
    sSet = sPeak[iM];
  }

}

//--------------------------------------------------------------------------

// Naively a fixed-width Breit-Wigner is used to pick the mass.
// Here come the correction factors for
// (i) preselection according to BW + flat in s_i + 1/s_i + 1/s_i^2,
// (ii) reduced allowed mass range,
// (iii) running width, i.e. m0*Gamma0 -> s*Gamma0/m0.
// In the end, the weighted distribution is a running-width BW.
  
double PhaseSpace::weightMass(int iM) {

  // Reference to mass and to Breit-Wigner weight to be set.
  double& sSet   = (iM == 3) ? s3 : ( (iM == 4) ? s4 : s5 );
  double& runBWH = (iM == 3) ? runBW3H : ( (iM == 4) ? runBW4H : runBW5H );

  // Default weight if no Breit-Wigner.
  runBWH = 1.;
  if (!useBW[iM]) return 1.;
  
  // Weight of generated distribution.
  double genBW  = (1. - fracFlat[iM] - fracInv[iM] - fracInv2[iM])
      * mw[iM] / ( (pow2(sSet - sPeak[iM]) + pow2(mw[iM])) * intBW[iM])
      + fracFlat[iM] / intFlat[iM] + fracInv[iM] / (sSet * intInv[iM])
      + fracInv2[iM] / (sSet*sSet * intInv2[iM]);

  // Weight of distribution with running width in Breit-Wigner.
  double mwRun = sSet * wmRat[iM];
  runBWH = mwRun / (pow2(sSet - sPeak[iM]) + pow2(mwRun)) / M_PI;

  // Done.
  return (runBWH / genBW);

}

//==========================================================================

// PhaseSpace2to1tauy class.
// 2 -> 1 kinematics for normal subprocesses.

//--------------------------------------------------------------------------

// Set limits for resonance mass selection.

bool PhaseSpace2to1tauy::setupMass() {

  // Treat Z0 as such or as gamma*/Z0
  gmZmode         = gmZmodeGlobal;
  int gmZmodeProc = sigmaProcessPtr->gmZmode();
  if (gmZmodeProc >= 0) gmZmode = gmZmodeProc;

  // Mass limits for current resonance.
  int idRes = abs(sigmaProcessPtr->resonanceA());
  int idTmp = abs(sigmaProcessPtr->resonanceB());
  if (idTmp > 0) idRes = idTmp;
  double mResMin = (idRes == 0) ? 0. : particleDataPtr->mMin(idRes);
  double mResMax = (idRes == 0) ? 0. : particleDataPtr->mMax(idRes);

  // Compare with global mass limits and pick tighter of them.
  mHatMin = max( mResMin, mHatGlobalMin);
  sHatMin = mHatMin*mHatMin;
  mHatMax = eCM;
  if (mResMax > mResMin) mHatMax = min( mHatMax, mResMax);
  if (mHatGlobalMax > mHatGlobalMin) mHatMax = min( mHatMax, mHatGlobalMax);
  sHatMax = mHatMax*mHatMax;

  // Default Breit-Wigner weight.
  wtBW = 1.;

  // Fail if mass window (almost) closed.
  return (mHatMax > mHatMin + MASSMARGIN);

}

//--------------------------------------------------------------------------

// Construct the four-vector kinematics from the trial values.

bool PhaseSpace2to1tauy::finalKin() {

  // Particle masses; incoming always on mass shell.
  mH[1] = 0.;
  mH[2] = 0.;
  mH[3] = mHat;

  // Incoming partons along beam axes. Outgoing has sum of momenta.
  pH[1] = Vec4( 0., 0., 0.5 * eCM * x1H, 0.5 * eCM * x1H);
  pH[2] = Vec4( 0., 0., -0.5 * eCM * x2H, 0.5 * eCM * x2H);
  pH[3] = pH[1] + pH[2];

  // Done.
  return true;
}

//==========================================================================

// PhaseSpace2to2tauyz class.
// 2 -> 2 kinematics for normal subprocesses.

//--------------------------------------------------------------------------

// Set up for fixed or Breit-Wigner mass selection.
  
bool PhaseSpace2to2tauyz::setupMasses() {

  // Treat Z0 as such or as gamma*/Z0
  gmZmode         = gmZmodeGlobal;
  int gmZmodeProc = sigmaProcessPtr->gmZmode();
  if (gmZmodeProc >= 0) gmZmode = gmZmodeProc;

  // Set sHat limits - based on global limits only.
  mHatMin = mHatGlobalMin;
  sHatMin = mHatMin*mHatMin;
  mHatMax = eCM;
  if (mHatGlobalMax > mHatGlobalMin) mHatMax = min( eCM, mHatGlobalMax);
  sHatMax = mHatMax*mHatMax;

  // Masses and widths of resonances.
  setupMass1(3);
  setupMass1(4);

  // Reduced mass range when two massive particles.
  if (useBW[3]) mUpper[3] -= (useBW[4]) ? mMin[4] : mPeak[4];
  if (useBW[4]) mUpper[4] -= (useBW[3]) ? mMin[3] : mPeak[3];

  // If closed phase space then unallowed process.
  bool physical = true;
  if (useBW[3] && mUpper[3] < mLower[3] + MASSMARGIN) physical = false;
  if (useBW[4] && mUpper[4] < mLower[4] + MASSMARGIN) physical = false;
  if (!useBW[3] && !useBW[4] && mHatMax < mPeak[3] + mPeak[4] + MASSMARGIN)
    physical = false;
  if (!physical) return false;

  // If either particle is massless then need extra pTHat cut.
  pTHatMin   = pTHatGlobalMin;
  if (mPeak[3] < pTHatMinDiverge || mPeak[4] < pTHatMinDiverge)
    pTHatMin = max( pTHatMin, pTHatMinDiverge);
  pT2HatMin  = pTHatMin * pTHatMin;
  pTHatMax   = pTHatGlobalMax;
  pT2HatMax  = pTHatMax * pTHatMax;

  // Prepare to select m3 by BW + flat + 1/s_3.
  if (useBW[3]) {
    double distToThreshA = (mHatMax - mPeak[3] - mPeak[4]) * mWidth[3]
      / (pow2(mWidth[3]) + pow2(mWidth[4]));
    double distToThreshB = (mHatMax - mPeak[3] - mMin[4]) / mWidth[3];
    double distToThresh = min( distToThreshA, distToThreshB);
    setupMass2(3, distToThresh);
  }

  // Prepare to select m4 by BW + flat + 1/s_4.
  if (useBW[4]) {
    double distToThreshA = (mHatMax - mPeak[3] - mPeak[4]) * mWidth[4]
      / (pow2(mWidth[3]) + pow2(mWidth[4]));
    double distToThreshB = (mHatMax - mMin[3] - mPeak[4]) / mWidth[4];
    double distToThresh = min( distToThreshA, distToThreshB);
    setupMass2(4, distToThresh);
  }

  // Initialization masses. Special cases when constrained phase space.
  m3 = (useBW[3]) ? min(mPeak[3], mUpper[3]) : mPeak[3];
  m4 = (useBW[4]) ? min(mPeak[4], mUpper[4]) : mPeak[4];
  if (m3 + m4 + THRESHOLDSIZE * (mWidth[3] + mWidth[4]) + MASSMARGIN
    > mHatMax) {
    if (useBW[3] && useBW[4]) physical = constrainedM3M4();
    else if (useBW[3]) physical = constrainedM3();
    else if (useBW[4]) physical = constrainedM4();
  }
  s3 = m3*m3;
  s4 = m4*m4;

  // Correct selected mass-spectrum to running-width Breit-Wigner.
  // Extra safety margin for maximum search.
  wtBW = 1.;
  if (useBW[3]) wtBW *= weightMass(3) * EXTRABWWTMAX;
  if (useBW[4]) wtBW *= weightMass(4) * EXTRABWWTMAX;

  // Done.
  return physical;
  
}


//--------------------------------------------------------------------------

// Select Breit-Wigner-distributed or fixed masses.
  
bool PhaseSpace2to2tauyz::trialMasses() {

  // By default vanishing cross section.
  sigmaNw = 0.;
  wtBW = 1.;

  // Pick m3 and m4 independently.
  trialMass(3);
  trialMass(4);

  // If outside phase space then reject event.
  if (m3 + m4 + MASSMARGIN > mHatMax) return false;

  // Correct selected mass-spectrum to running-width Breit-Wigner.
  if (useBW[3]) wtBW *= weightMass(3);
  if (useBW[4]) wtBW *= weightMass(4);

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Construct the four-vector kinematics from the trial values.

bool PhaseSpace2to2tauyz::finalKin() {

  // Assign masses to particles assumed massless in matrix elements.
  int id3 = sigmaProcessPtr->id(3);
  int id4 = sigmaProcessPtr->id(4);
  if (idMass[3] == 0) { m3 = particleDataPtr->m0(id3); s3 = m3*m3; }
  if (idMass[4] == 0) { m4 = particleDataPtr->m0(id4); s4 = m4*m4; }

  // Sometimes swap tHat <-> uHat to reflect chosen final-state order.
  if (sigmaProcessPtr->swappedTU()) {
    swap(tH, uH);
    z = -z;
  }

  // Check that phase space still open after new mass assignment.
  if (m3 + m4 + MASSMARGIN > mHat) {
    infoPtr->errorMsg("Warning in PhaseSpace2to2tauyz::finalKin: "
      "failed after mass assignment");
    return false;
  }
  p2Abs = 0.25 * (pow2(sH - s3 - s4) - 4. * s3 * s4) / sH;
  pAbs = sqrtpos( p2Abs );

  // Particle masses; incoming always on mass shell.
  mH[1] = 0.;
  mH[2] = 0.;
  mH[3] = m3;
  mH[4] = m4;

  // Incoming partons along beam axes.
  pH[1] = Vec4( 0., 0., 0.5 * eCM * x1H, 0.5 * eCM * x1H);
  pH[2] = Vec4( 0., 0., -0.5 * eCM * x2H, 0.5 * eCM * x2H);

  // Outgoing partons initially in collision CM frame along beam axes.
  pH[3] = Vec4( 0., 0.,  pAbs, 0.5 * (sH + s3 - s4) / mHat);
  pH[4] = Vec4( 0., 0., -pAbs, 0.5 * (sH + s4 - s3) / mHat);

  // Then rotate and boost them to overall CM frame.
  theta = acos(z);
  phi = 2. * M_PI * rndmPtr->flat();
  betaZ = (x1H - x2H)/(x1H + x2H);
  pH[3].rot( theta, phi);
  pH[4].rot( theta, phi);
  pH[3].bst( 0., 0., betaZ);
  pH[4].bst( 0., 0., betaZ);
  pTH = pAbs * sin(theta);

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Special choice of m3 and m4 when mHatMax push them off mass shell.
// Vary x in expression m3 + m4 = mHatMax - x * (Gamma3 + Gamma4).
// For each x try to put either 3 or 4 as close to mass shell as possible.
// Maximize BW_3 * BW_4 * beta_34, where latter approximate phase space.

bool PhaseSpace2to2tauyz::constrainedM3M4() {

  // Initial values.
  bool foundNonZero = false;
  double wtMassMax = 0.;
  double m3WtMax = 0.;
  double m4WtMax = 0.;
  double xMax = (mHatMax - mLower[3] - mLower[4]) / (mWidth[3] + mWidth[4]);
  double xStep = THRESHOLDSTEP * min(1., xMax);
  double xNow = 0.;
  double wtMassXbin, wtMassMaxOld, m34, mT34Min, wtMassNow,
    wtBW3Now, wtBW4Now, beta34Now;
 
  // Step through increasing x values.
  do {
    xNow += xStep;
    wtMassXbin = 0.;
    wtMassMaxOld = wtMassMax;
    m34 = mHatMax - xNow * (mWidth[3] + mWidth[4]);

    // Study point where m3 as close as possible to on-shell.
    m3 = min( mUpper[3], m34 - mLower[4]);
    if (m3 > mPeak[3]) m3 = max( mLower[3], mPeak[3]);
    m4 = m34 - m3;
    if (m4 < mLower[4]) {m4 = mLower[4]; m3 = m34 - m4;}

    // Check that inside phase space limit set by pTmin.
    mT34Min = sqrt(m3*m3 + pT2HatMin) + sqrt(m4*m4 + pT2HatMin);
    if (mT34Min < mHatMax) {

      // Breit-Wigners and beta factor give total weight.
      wtMassNow = 0.;
      if (m3 > mLower[3] && m3 < mUpper[3] && m4 > mLower[4]
        && m4 < mUpper[4]) {
        wtBW3Now = mw[3] / ( pow2(m3*m3 - sPeak[3]) + pow2(mw[3]) );
        wtBW4Now = mw[4] / ( pow2(m4*m4 - sPeak[4]) + pow2(mw[4]) );
        beta34Now = sqrt( pow2(mHatMax*mHatMax - m3*m3 - m4*m4)
          - pow2(2. * m3 * m4) ) / (mHatMax*mHatMax);
        wtMassNow = wtBW3Now * wtBW4Now * beta34Now;
      }

      // Store new maximum, if any.
      if (wtMassNow > wtMassXbin) wtMassXbin = wtMassNow;
      if (wtMassNow > wtMassMax) {
        foundNonZero = true;
        wtMassMax = wtMassNow;
        m3WtMax = m3;
        m4WtMax = m4;
      }
    }

    // Study point where m4 as close as possible to on-shell.
    m4 = min( mUpper[4], m34 - mLower[3]);
    if (m4 > mPeak[4]) m4 = max( mLower[4], mPeak[4]);
    m3 = m34 - m4;
    if (m3 < mLower[3]) {m3 = mLower[3]; m4 = m34 - m3;}

    // Check that inside phase space limit set by pTmin.
    mT34Min = sqrt(m3*m3 + pT2HatMin) + sqrt(m4*m4 + pT2HatMin);
    if (mT34Min < mHatMax) {

      // Breit-Wigners and beta factor give total weight.
      wtMassNow = 0.;
      if (m3 > mLower[3] && m3 < mUpper[3] && m4 > mLower[4]
        && m4 < mUpper[4]) {
        wtBW3Now = mw[3] / ( pow2(m3*m3 - sPeak[3]) + pow2(mw[3]) );
        wtBW4Now = mw[4] / ( pow2(m4*m4 - sPeak[4]) + pow2(mw[4]) );
        beta34Now = sqrt( pow2(mHatMax*mHatMax - m3*m3 - m4*m4)
          - pow2(2. * m3 * m4) ) / (mHatMax*mHatMax);
        wtMassNow = wtBW3Now * wtBW4Now * beta34Now;
      }

      // Store new maximum, if any.
      if (wtMassNow > wtMassXbin) wtMassXbin = wtMassNow;
      if (wtMassNow > wtMassMax) {
        foundNonZero = true;
        wtMassMax = wtMassNow;
        m3WtMax = m3;
        m4WtMax = m4;
      }
    }

  // Continue stepping if increasing trend and more x range available.
  } while ( (!foundNonZero || wtMassXbin > wtMassMaxOld)
    && xNow < xMax - xStep);

  // Restore best values for subsequent maximization. Return.
  m3 = m3WtMax;
  m4 = m4WtMax;
  return foundNonZero;

}

//--------------------------------------------------------------------------

// Special choice of m3 when mHatMax pushes it off mass shell.
// Vary x in expression m3 = mHatMax - m4 - x * Gamma3.
// Maximize BW_3 * beta_34, where latter approximate phase space.

bool PhaseSpace2to2tauyz::constrainedM3() {

  // Initial values.
  bool foundNonZero = false;
  double wtMassMax = 0.;
  double m3WtMax = 0.;
  double mT4Min = sqrt(m4*m4 + pT2HatMin);
  double xMax = (mHatMax - mLower[3] - m4) / mWidth[3];
  double xStep = THRESHOLDSTEP * min(1., xMax);
  double xNow = 0.;
  double wtMassNow, mT34Min, wtBW3Now, beta34Now;
 
  // Step through increasing x values; gives m3 unambiguously.
  do {
    xNow += xStep;
    wtMassNow = 0.;
    m3 = mHatMax - m4 - xNow * mWidth[3];

    // Check that inside phase space limit set by pTmin.
    mT34Min = sqrt(m3*m3 + pT2HatMin) + mT4Min;
    if (mT34Min < mHatMax) {

      // Breit-Wigner and beta factor give total weight.
      wtBW3Now = mw[3] / ( pow2(m3*m3 - sPeak[3]) + pow2(mw[3]) );
      beta34Now = sqrt( pow2(mHatMax*mHatMax - m3*m3 - m4*m4)
        - pow2(2. * m3 * m4) ) / (mHatMax*mHatMax);
      wtMassNow = wtBW3Now * beta34Now;

      // Store new maximum, if any.
      if (wtMassNow > wtMassMax) {
        foundNonZero = true;
        wtMassMax = wtMassNow;
        m3WtMax = m3;
      }
    }
     
  // Continue stepping if increasing trend and more x range available.
  } while ( (!foundNonZero || wtMassNow > wtMassMax)
    && xNow < xMax - xStep);

  // Restore best value for subsequent maximization. Return.
  m3 = m3WtMax;
  return foundNonZero;

}

//--------------------------------------------------------------------------

// Special choice of m4 when mHatMax pushes it off mass shell.
// Vary x in expression m4 = mHatMax - m3 - x * Gamma4.
// Maximize BW_4 * beta_34, where latter approximate phase space.

bool PhaseSpace2to2tauyz::constrainedM4() {

  // Initial values.
  bool foundNonZero = false;
  double wtMassMax = 0.;
  double m4WtMax = 0.;
  double mT3Min = sqrt(m3*m3 + pT2HatMin);
  double xMax = (mHatMax - mLower[4] - m3) / mWidth[4];
  double xStep = THRESHOLDSTEP * min(1., xMax);
  double xNow = 0.;
  double wtMassNow, mT34Min, wtBW4Now, beta34Now;
 
  // Step through increasing x values; gives m4 unambiguously.
  do {
    xNow += xStep;
    wtMassNow = 0.;
    m4 = mHatMax - m3 - xNow * mWidth[4];

    // Check that inside phase space limit set by pTmin.
    mT34Min = mT3Min + sqrt(m4*m4 + pT2HatMin);
    if (mT34Min < mHatMax) {

      // Breit-Wigner and beta factor give total weight.
      wtBW4Now = mw[4] / ( pow2(m4*m4 - sPeak[4]) + pow2(mw[4]) );
      beta34Now = sqrt( pow2(mHatMax*mHatMax - m3*m3 - m4*m4)
        - pow2(2. * m3 * m4) ) / (mHatMax*mHatMax);
      wtMassNow = wtBW4Now * beta34Now;
 
      // Store new maximum, if any.
      if (wtMassNow > wtMassMax) {
        foundNonZero = true;
        wtMassMax = wtMassNow;
        m4WtMax = m4;
      }
    }
 
  // Continue stepping if increasing trend and more x range available.
  } while ( (!foundNonZero || wtMassNow > wtMassMax)
    && xNow < xMax - xStep);

  // Restore best value for subsequent maximization.
  m4 = m4WtMax;
  return foundNonZero;

}

//==========================================================================

// PhaseSpace2to2elastic class.
// 2 -> 2 kinematics set up for elastic scattering.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maximum positive/negative argument for exponentiation.
const double PhaseSpace2to2elastic::EXPMAX = 50.;

// Conversion coefficients = 1/(16pi) * (mb <-> GeV^2).
const double PhaseSpace2to2elastic::CONVERTEL = 0.0510925;

//--------------------------------------------------------------------------

// Form of phase space sampling already fixed, so no optimization.
// However, need to read out relevant parameters from SigmaTotal.

bool PhaseSpace2to2elastic::setupSampling() {

  // Find maximum = value of cross section.
  sigmaNw    = sigmaProcessPtr->sigmaHatWrap();
  sigmaMx    = sigmaNw;

  // Squared and outgoing masses of particles.
  s1         = mA * mA;
  s2         = mB * mB;
  m3         = mA;
  m4         = mB;

  // Elastic slope.
  bSlope     = sigmaTotPtr->bSlopeEl();
 
  // Determine maximum possible t range.
  lambda12S  = pow2(s - s1 - s2) - 4. * s1 * s2 ;
  tLow       = - lambda12S / s;
  tUpp       = 0.;

  // Production model with Coulomb corrections need more parameters.
  useCoulomb =  settingsPtr->flag("SigmaTotal:setOwn")
             && settingsPtr->flag("SigmaElastic:setOwn");
  if (useCoulomb) {
    sigmaTot = sigmaTotPtr->sigmaTot();
    rho      = settingsPtr->parm("SigmaElastic:rho");
    lambda   = settingsPtr->parm("SigmaElastic:lambda");
    tAbsMin  = settingsPtr->parm("SigmaElastic:tAbsMin");
    phaseCst = settingsPtr->parm("SigmaElastic:phaseConst");
    alphaEM0 = settingsPtr->parm("StandardModel:alphaEM0");

    // Relative rate of nuclear and Coulombic parts in trials.
    tUpp     = -tAbsMin;
    sigmaNuc = CONVERTEL * pow2(sigmaTot) * (1. + rho*rho) / bSlope
             * exp(-bSlope * tAbsMin);
    sigmaCou = (useCoulomb) ?
               pow2(alphaEM0) / (4. * CONVERTEL * tAbsMin) : 0.;
    signCou  = (idA == idB) ? 1. : -1.;

  // Dummy values.
  } else {
    sigmaNuc = sigmaNw;
    sigmaCou = 0.;
  }

  // Calculate coefficient of generation.
  tAux       = exp( max(-EXPMAX, bSlope * (tLow - tUpp)) ) - 1.;

  return true;

}

//--------------------------------------------------------------------------

// Select a trial kinematics phase space point. Perform full
// Monte Carlo acceptance/rejection at this stage.

bool PhaseSpace2to2elastic::trialKin( bool, bool ) {

  // Allow for possibility that energy varies from event to event.
  if (doEnergySpread) {
    eCM       = infoPtr->eCM();
    s         = eCM * eCM;
    lambda12S = pow2(s - s1 - s2) - 4. * s1 * s2 ;
    tLow      = - lambda12S / s;
    tAux      = exp( max(-EXPMAX, bSlope * (tLow - tUpp)) ) - 1.;
  }

  // Select t according to exp(bSlope*t).
  if (!useCoulomb || sigmaNuc > rndmPtr->flat() * (sigmaNuc + sigmaCou))
   tH = tUpp + log(1. + tAux * rndmPtr->flat()) / bSlope;

 // Select t according to 1/t^2.
  else tH = tLow * tUpp / (tUpp + rndmPtr->flat() * (tLow - tUpp));

  // Correction factor for ratio full/simulated.
  if (useCoulomb) {
    double sigmaN   = CONVERTEL * pow2(sigmaTot) * (1. + rho*rho)
                    * exp(bSlope * tH);
    double alpEM    = couplingsPtr->alphaEM(-tH);
    double sigmaC   = pow2(alpEM) / (4. * CONVERTEL * tH*tH);
    double sigmaGen = 2. * (sigmaN + sigmaC);
    double form2    = pow4(lambda/(lambda - tH));
    double phase    = signCou * alpEM
                    * (-phaseCst - log(-0.5 * bSlope * tH));
    double sigmaCor = sigmaN + pow2(form2) * sigmaC
      - signCou * alpEM * sigmaTot * (form2 / (-tH))
      *  exp(0.5 * bSlope * tH) * (rho * cos(phase) + sin(phase));
    sigmaNw         = sigmaMx * sigmaCor / sigmaGen;
  }

  // Careful reconstruction of scattering angle.
  double tRat       = s * tH / lambda12S;
  double cosTheta   = min(1., max(-1., 1. + 2. * tRat ) );
  double sinTheta   = 2. * sqrtpos( -tRat * (1. + tRat) );
  theta             = asin( min(1., sinTheta));
  if (cosTheta < 0.) theta = M_PI - theta;

  return true;

}

//--------------------------------------------------------------------------

// Construct the four-vector kinematics from the trial values.

bool PhaseSpace2to2elastic::finalKin() {

  // Particle masses.
  mH[1] = mA;
  mH[2] = mB;
  mH[3] = m3;
  mH[4] = m4;

  // Incoming particles along beam axes.
  pAbs = 0.5 * sqrtpos(lambda12S) / eCM;
  pH[1] = Vec4( 0., 0.,  pAbs, 0.5 * (s + s1 - s2) / eCM);
  pH[2] = Vec4( 0., 0., -pAbs, 0.5 * (s + s2 - s1) / eCM);

  // Outgoing particles initially along beam axes.
  pH[3] = Vec4( 0., 0.,  pAbs, 0.5 * (s + s1 - s2) / eCM);
  pH[4] = Vec4( 0., 0., -pAbs, 0.5 * (s + s2 - s1) / eCM);

  // Then rotate them
  phi = 2. * M_PI * rndmPtr->flat();
  pH[3].rot( theta, phi);
  pH[4].rot( theta, phi);

  // Set some further info for completeness.
  x1H = 1.;
  x2H = 1.;
  sH = s;
  uH = 2. * (s1 + s2) - sH - tH;
  mHat = eCM;
  p2Abs = pAbs * pAbs;
  betaZ = 0.;
  pTH = pAbs * sin(theta);

  // Done.
  return true;

}

//==========================================================================

// PhaseSpace2to2diffractive class.
// 2 -> 2 kinematics set up for diffractive scattering.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of tries to find acceptable (m^2, t) set.
const int PhaseSpace2to2diffractive::NTRY = 500;

// Maximum positive/negative argument for exponentiation.
const double PhaseSpace2to2diffractive::EXPMAX = 50.;

// Safety margin so sum of diffractive masses not too close to eCM.
const double PhaseSpace2to2diffractive::DIFFMASSMARGIN = 0.2;

//--------------------------------------------------------------------------

// Form of phase space sampling already fixed, so no optimization.
// However, need to read out relevant parameters from SigmaTotal.

bool PhaseSpace2to2diffractive::setupSampling() {

  // Pomeron flux parametrization, and parameters of some options.
  PomFlux      = settingsPtr->mode("Diffraction:PomFlux");
  epsilonPF    = settingsPtr->parm("Diffraction:PomFluxEpsilon");
  alphaPrimePF = settingsPtr->parm("Diffraction:PomFluxAlphaPrime");
  
  // Find maximum = value of cross section.
  sigmaNw = sigmaProcessPtr->sigmaHatWrap();
  sigmaMx = sigmaNw;

  // Masses of particles and minimal masses of diffractive states.
  m3ElDiff = (isDiffA) ? sigmaTotPtr->mMinXB()  : mA;
  m4ElDiff = (isDiffB) ? sigmaTotPtr->mMinAX()  : mB;
  s1 = mA * mA;
  s2 = mB * mB;
  s3 = pow2( m3ElDiff);
  s4 = pow2( m4ElDiff);

  // Determine maximum possible t range and coefficient of generation.
  lambda12 = sqrtpos( pow2( s - s1 - s2) - 4. * s1 * s2 );
  lambda34 = sqrtpos( pow2( s - s3 - s4) - 4. * s3 * s4 );
  double tempA = s - (s1 + s2 + s3 + s4) + (s1 - s2) * (s3 - s4) / s;
  double tempB = lambda12 *  lambda34 / s;
  double tempC = (s3 - s1) * (s4 - s2) + (s1 + s4 - s2 - s3)
    * (s1 * s4 - s2 * s3) / s;
  tLow  = -0.5 * (tempA + tempB);
  tUpp  = tempC / tLow;

  // Default for all parametrization-specific parameters.
  cRes = sResXB = sResAX = sProton = bMin = bSlope = bSlope1 = bSlope2
       = probSlope1 = xIntPF = xtCorPF = mp24DL = coefDL = tAux
       = tAux1 = tAux2 = 0.;

  // Schuler&Sjostrand: parameters of low-mass-resonance enhancement.
  if (PomFlux == 1) {
    cRes = sigmaTotPtr->cRes();
    sResXB = pow2( sigmaTotPtr->mResXB());
    sResAX = pow2( sigmaTotPtr->mResAX());
    sProton = sigmaTotPtr->sProton();

    // Schuler&Sjostrand: lower limit diffractive slope.
    if      (!isDiffB) bMin = sigmaTotPtr->bMinSlopeXB();
    else if (!isDiffA) bMin = sigmaTotPtr->bMinSlopeAX();
    else               bMin = sigmaTotPtr->bMinSlopeXX();
    tAux = exp( max(-EXPMAX, bMin * (tLow - tUpp)) ) - 1.;

  // Bruni&Ingelman: relative weight of two diffractive slopes.
  } else if (PomFlux == 2) {
    bSlope1     = 8.0;
    probSlope1  = 6.38 * ( exp(max(-EXPMAX, bSlope1 * tUpp))
                -  exp(max(-EXPMAX, bSlope1 * tLow)) ) / bSlope1;
    bSlope2     = 3.0;
    double pS2  = 0.424 * ( exp(max(-EXPMAX, bSlope2 * tUpp))
                -  exp(max(-EXPMAX, bSlope2 * tLow)) ) / bSlope2;
    probSlope1 /= probSlope1 + pS2;
    tAux1 = exp( max(-EXPMAX, bSlope1 * (tLow - tUpp)) ) - 1.;
    tAux2 = exp( max(-EXPMAX, bSlope2 * (tLow - tUpp)) ) - 1.;

  // Streng&Berger (RapGap): diffractive slope, power of mass spectrum.
  } else if (PomFlux == 3) {
    bSlope        = 4.7;
    double xPowPF = 1. - 2. * (1. + epsilonPF);
    xIntPF        = 2. * (1. + xPowPF);
    xtCorPF       = 2. * alphaPrimePF;
    tAux          = exp( max(-EXPMAX, bSlope  * (tLow - tUpp)) ) - 1.;

  // Donnachie&Landshoff (RapGap):  power of mass spectrum.
  } else if (PomFlux == 4) {
    mp24DL        = 4. * pow2(particleDataPtr->m0(2212));
    double xPowPF = 1. - 2. * (1. + epsilonPF);
    xIntPF        = 2. * (1. + xPowPF);
    xtCorPF       = 2. * alphaPrimePF;
    // Upper estimate of t dependence, for preliminary choice.
    coefDL               = 0.85;
    tAux1                = 1. / pow3(1. - coefDL * tLow);
    tAux2                = 1. / pow3(1. - coefDL * tUpp);

  // MBR model.
  } else if (PomFlux == 5) {
    eps        = settingsPtr->parm("Diffraction:MBRepsilon");
    alph       = settingsPtr->parm("Diffraction:MBRalpha");
    alph2      = alph * alph;
    m2min      = settingsPtr->parm("Diffraction:MBRm2Min");
    dyminSD    = settingsPtr->parm("Diffraction:MBRdyminSD");
    dyminDD    = settingsPtr->parm("Diffraction:MBRdyminDD");
    dyminSigSD = settingsPtr->parm("Diffraction:MBRdyminSigSD");
    dyminSigDD = settingsPtr->parm("Diffraction:MBRdyminSigDD");
    
    // Max f(dy) for Von Neumann method, from SigmaTot.
    sdpmax= sigmaTotPtr->sdpMax();
    ddpmax= sigmaTotPtr->ddpMax();
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select a trial kinematics phase space point. Perform full
// Monte Carlo acceptance/rejection at this stage.

bool PhaseSpace2to2diffractive::trialKin( bool, bool ) {

  // Allow for possibility that energy varies from event to event.
  if (doEnergySpread) {
    eCM       = infoPtr->eCM();
    s         = eCM * eCM;
    lambda12 = sqrtpos( pow2( s - s1 - s2) - 4. * s1 * s2 );
    lambda34 = sqrtpos( pow2( s - s3 - s4) - 4. * s3 * s4 );
    double tempA = s - (s1 + s2 + s3 + s4) + (s1 - s2) * (s3 - s4) / s;
    double tempB = lambda12 *  lambda34 / s;
    double tempC = (s3 - s1) * (s4 - s2) + (s1 + s4 - s2 - s3)
      * (s1 * s4 - s2 * s3) / s;
    tLow  = -0.5 * (tempA + tempB);
    tUpp  = tempC / tLow;
    if (PomFlux == 1) {
      tAux = exp( max(-EXPMAX, bMin * (tLow - tUpp)) ) - 1.;
    } else if (PomFlux == 2) {
      tAux1 = exp( max(-EXPMAX, bSlope1 * (tLow - tUpp)) ) - 1.;
      tAux2 = exp( max(-EXPMAX, bSlope2 * (tLow - tUpp)) ) - 1.;
    } else if (PomFlux == 3) {
      tAux          = exp( max(-EXPMAX, bSlope  * (tLow - tUpp)) ) - 1.;
    } else if (PomFlux == 4) {
      tAux1                = 1. / pow3(1. - coefDL * tLow);
      tAux2                = 1. / pow3(1. - coefDL * tUpp);
    }
  }

  // Loop over attempts to set up masses and t consistently.
  for (int loop = 0; ; ++loop) {
    if (loop == NTRY) {
      infoPtr->errorMsg("Error in PhaseSpace2to2diffractive::trialKin: "
        " quit after repeated tries");
      return false;
    }
  
    // Schuler and Sjostrand:
    if (PomFlux == 1) {
 
      // Select diffractive mass(es) according to dm^2/m^2.
      m3 = (isDiffA) ? m3ElDiff * pow( max(mA, eCM - m4ElDiff) / m3ElDiff,
        rndmPtr->flat()) : m3ElDiff;
      m4 = (isDiffB) ? m4ElDiff * pow( max(mB, eCM - m3ElDiff) / m4ElDiff,
        rndmPtr->flat()) : m4ElDiff;
      if (m3 + m4 + DIFFMASSMARGIN >= eCM) continue;
      s3 = m3 * m3;
      s4 = m4 * m4;

      // Additional mass factors, including resonance enhancement.
      if (isDiffA && !isDiffB) {
        double facXB = (1. - s3 / s)
          * (1. + cRes * sResXB / (sResXB + s3));
        if (facXB < rndmPtr->flat() * (1. + cRes)) continue;
      } else if (isDiffB && !isDiffA) {
        double facAX = (1. - s4 / s)
          * (1. + cRes * sResAX / (sResAX + s4));
        if (facAX < rndmPtr->flat() * (1. + cRes)) continue;
      } else {
        double facXX = (1. - pow2(m3 + m4) / s)
          * (s * sProton / (s * sProton + s3 * s4))
          * (1. + cRes * sResXB / (sResXB + s3))
          * (1. + cRes * sResAX / (sResAX + s4));
        if (facXX < rndmPtr->flat() * pow2(1. + cRes)) continue;
      }

      // Select t according to exp(bMin*t) and correct to right slope.
      tH = tUpp + log(1. + tAux * rndmPtr->flat()) / bMin;
      double bDiff = 0.;
      if (isDiffA && !isDiffB) bDiff = sigmaTotPtr->bSlopeXB(s3) - bMin;
      else if (!isDiffA) bDiff = sigmaTotPtr->bSlopeAX(s4) - bMin;
      else bDiff = sigmaTotPtr->bSlopeXX(s3, s4) - bMin;
      bDiff = max(0., bDiff);
      if (exp( max(-EXPMAX, bDiff * (tH - tUpp)) ) < rndmPtr->flat()) continue;
  
    // Bruni and Ingelman:
    } else if (PomFlux == 2) {
 
      // Select diffractive mass(es) according to dm^2/m^2.
      m3 = (isDiffA) ? m3ElDiff * pow( max(mA, eCM - m4ElDiff) / m3ElDiff,
        rndmPtr->flat()) : m3ElDiff;
      m4 = (isDiffB) ? m4ElDiff * pow( max(mB, eCM - m3ElDiff) / m4ElDiff,
        rndmPtr->flat()) : m4ElDiff;
      if (m3 + m4 + DIFFMASSMARGIN >= eCM) continue;
      s3 = m3 * m3;
      s4 = m4 * m4;

      // Select t according to exp(bSlope*t) with two possible slopes.
      tH = (rndmPtr->flat() < probSlope1)
         ? tUpp + log(1. + tAux1 * rndmPtr->flat()) / bSlope1
         : tUpp + log(1. + tAux2 * rndmPtr->flat()) / bSlope2;
 
    // Streng and Berger et al. (RapGap):
    } else if (PomFlux == 3) {

      // Select diffractive mass(es) according to dm^2/(m^2)^(1 + 2 epsilon).
      m3 = m3ElDiff;
      m4 = m4ElDiff;
      if (isDiffA) {
        double s3MinPow = pow( m3ElDiff, xIntPF );
        double s3MaxPow = pow( max(mA, eCM - m4ElDiff), xIntPF );
        m3 = pow( s3MinPow + rndmPtr->flat() * (s3MaxPow - s3MinPow),
                  1. / xIntPF );
      }
      if (isDiffB) {
        double s4MinPow = pow( m4ElDiff, xIntPF );
        double s4MaxPow = pow( max(mB, eCM - m3ElDiff), xIntPF );
        m4 = pow( s4MinPow + rndmPtr->flat() * (s4MaxPow - s4MinPow),
                  1. / xIntPF );
      }
      if (m3 + m4 + DIFFMASSMARGIN >= eCM) continue;
      s3 = m3 * m3;
      s4 = m4 * m4;
 
      // Select t according to exponential and weigh by x_P^(2 alpha' |t|).
      tH = tUpp + log(1. + tAux * rndmPtr->flat()) / bSlope;
      if ( isDiffA && pow( s3 / s, xtCorPF * abs(tH) ) < rndmPtr->flat() )
        continue;
      if ( isDiffB && pow( s4 / s, xtCorPF * abs(tH) ) < rndmPtr->flat() )
        continue;
 
    // Donnachie and Landshoff (RapGap):
    } else if (PomFlux == 4) {

      // Select diffractive mass(es) according to dm^2/(m^2)^(1 + 2 epsilon).
      m3 = m3ElDiff;
      m4 = m4ElDiff;
      if (isDiffA) {
        double s3MinPow = pow( m3ElDiff, xIntPF );
        double s3MaxPow = pow( max(mA, eCM - m4ElDiff), xIntPF );
        m3 = pow( s3MinPow + rndmPtr->flat() * (s3MaxPow - s3MinPow),
                  1. / xIntPF );
      }
      if (isDiffB) {
        double s4MinPow = pow( m4ElDiff, xIntPF );
        double s4MaxPow = pow( max(mB, eCM - m3ElDiff), xIntPF );
        m4 = pow( s4MinPow + rndmPtr->flat() * (s4MaxPow - s4MinPow),
                  1. / xIntPF );
      }
      if (m3 + m4 + DIFFMASSMARGIN >= eCM) continue;
      s3 = m3 * m3;
      s4 = m4 * m4;
 
      // Select t according to power and weigh by x_P^(2 alpha' |t|).
      tH = - (1. / pow( tAux1 + rndmPtr->flat() * (tAux2 - tAux1), 1./3.)
         - 1.) / coefDL;
      double wDL = pow2( (mp24DL - 2.8 * tH) / (mp24DL - tH) )
                 / pow4( 1. - tH / 0.7);
      double wMX = 1. / pow4( 1. - coefDL * tH);
      if (wDL < rndmPtr->flat() * wMX) continue;
      if ( isDiffA && pow( s3 / s, xtCorPF * abs(tH) ) < rndmPtr->flat() )
        continue;
      if ( isDiffB && pow( s4 / s, xtCorPF * abs(tH) ) < rndmPtr->flat() )
        continue;

    // MBR model:
    } else if (PomFlux == 5) {
      m3 = mA;
      m4 = mB;
      double xi, P, yRnd, dy;
      
      // MBR double diffractive.
      if (isDiffA && isDiffB) {
        dymin0 = 0.;
        dymax  = log(s/pow2(m2min));
        
        // Von Neumann method to generate dy, uses ddpmax from SigmaTot.
        do {
          dy = dymin0 + (dymax - dymin0) * rndmPtr->flat();
          P  = (dymax - dy) * exp(eps*dy) * ( exp(-2. * alph * dy * exp(-dy))
             - exp(-2. * alph * dy * exp(dy)) ) / dy;
          // Suppress smaller gap, smooth transition to non-diffractive.
          P *= 0.5 * (1 + erf( ( dy - dyminDD) / dyminSigDD ) );
          if (P > ddpmax) {
            ostringstream osWarn;
            osWarn << "ddpmax = " << scientific << setprecision(3)
                   << ddpmax << " " << P << " " << dy << endl;
            infoPtr->errorMsg("Warning in PhaseSpace2to2diffractive::"
              "trialKin for double diffraction:", osWarn.str());
          }
          yRnd = ddpmax * rndmPtr->flat();
        } while (yRnd > P);
        
        double y0max = (dymax - dy)/2.;
        double y0min = -y0max;
        double y0    = y0min + (y0max - y0min) * rndmPtr->flat();
        am1          = sqrt( eCM * exp( -y0 - dy/2. ) );
        am2          = sqrt( eCM * exp(  y0 - dy/2. ) );
        
        // Generate 4-momentum transfer, t from exp.
        double b = 2. * alph * dy;
        tUpp     = -exp( -dy );
        tLow     = -exp( dy );
        tAux     = exp( b * (tLow - tUpp) ) - 1.;
        t        = tUpp + log(1. + tAux * rndmPtr->flat()) / b;
        m3       = am1;
        m4       = am2;
        tH       = t;
        
      // MBR single diffractive.
      } else if (isDiffA || isDiffB) {
        dymin0 = 0.;
        dymax  = log(s/m2min);

        // Von Neumann method to generate dy, uses sdpmax from SigmaTot.
        do {
          dy = dymin0 + (dymax - dymin0) * rndmPtr->flat();
          P  = exp(eps * dy) * ( (FFA1 / (FFB1 + 2. * alph * dy) )
             + (FFA2 / (FFB2 + 2. * alph * dy) ) );
          // Suppress smaller gap.
          P *= 0.5 * (1. + erf( (dy - dyminSD) / dyminSigSD) );
          if (P > sdpmax) {
            ostringstream osWarn;
            osWarn << "sdpmax = " << scientific << setprecision(3)
                   << sdpmax << " " << P << " " << dy << endl;
            infoPtr->errorMsg("Warning in PhaseSpace2to2diffractive::"
              "trialKin for single diffraction:", osWarn.str());
          }
          yRnd = sdpmax * rndmPtr->flat();
        } while (yRnd > P);
        xi  = exp( -dy );
        amx = sqrt( xi * s );
        
        // Generate 4-momentum transfer, t. First exponent, then FF*exp.
        double tmin = -s1 * xi * xi / (1 - xi);
        do {
          t          = tmin + log(1. - rndmPtr->flat());
          double pFF = (4. * s1 - 2.8 * t) / ( (4. * s1 - t)
                     * pow2(1. - t / 0.71) );
          P          = pow2(pFF) * exp(2. * alph * dy * t);
          yRnd       = exp(t) * rndmPtr->flat();
        } while (yRnd > P);
        if(isDiffA) m3 = amx;
        if(isDiffB) m4 = amx;
        tH = t;
      }
    
      // End of MBR model code.
      s3 = m3 * m3;
      s4 = m4 * m4;
    }

    // Check whether m^2 and t choices are consistent.
    lambda34 = sqrtpos( pow2( s - s3 - s4) - 4. * s3 * s4 );
    double tempA = s - (s1 + s2 + s3 + s4) + (s1 - s2) * (s3 - s4) / s;
    double tempB = lambda12 *  lambda34 / s;
    double tempC = (s3 - s1) * (s4 - s2) + (s1 + s4 - s2 - s3)
      * (s1 * s4 - s2 * s3) / s;
    double tLowNow = -0.5 * (tempA + tempB);
    double tUppNow = tempC / tLowNow;
    if (tH < tLowNow || tH > tUppNow) continue;
    
    // Careful reconstruction of scattering angle.
    double cosTheta = min(1., max(-1., (tempA + 2. * tH) / tempB));
    double sinTheta = 2. * sqrtpos( -(tempC + tempA * tH + tH * tH) )
      / tempB;
    theta = asin( min(1., sinTheta));
    if (cosTheta < 0.) theta = M_PI - theta;

    // Found acceptable kinematics, so no more looping. Done
    break;
  }
  return true;

}

//--------------------------------------------------------------------------

// Construct the four-vector kinematics from the trial values.

bool PhaseSpace2to2diffractive::finalKin() {

  // Particle masses; incoming always on mass shell.
  mH[1] = mA;
  mH[2] = mB;
  mH[3] = m3;
  mH[4] = m4;

  // Incoming particles along beam axes.
  pAbs = 0.5 * lambda12 / eCM;
  pH[1] = Vec4( 0., 0.,  pAbs, 0.5 * (s + s1 - s2) / eCM);
  pH[2] = Vec4( 0., 0., -pAbs, 0.5 * (s + s2 - s1) / eCM);

  // Outgoing particles initially along beam axes.
  pAbs = 0.5 * lambda34 / eCM;
  pH[3] = Vec4( 0., 0.,  pAbs, 0.5 * (s + s3 - s4) / eCM);
  pH[4] = Vec4( 0., 0., -pAbs, 0.5 * (s + s4 - s3) / eCM);

  // Then rotate them
  phi = 2. * M_PI * rndmPtr->flat();
  pH[3].rot( theta, phi);
  pH[4].rot( theta, phi);

  // Set some further info for completeness (but Info can be for subprocess).
  x1H   = 1.;
  x2H   = 1.;
  sH    = s;
  uH    = s1 + s2 + s3 + s4 - sH - tH;
  mHat  = eCM;
  p2Abs = pAbs * pAbs;
  betaZ = 0.;
  pTH   = pAbs * sin(theta);

  // Done.
  return true;

}

//==========================================================================

// PhaseSpace2to3diffractive class.
// 2 -> 3 kinematics set up for central diffractive scattering.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of tries to find acceptable (m^2, t1, t2) set.
const int PhaseSpace2to3diffractive::NTRY = 500;
const int PhaseSpace2to3diffractive::NINTEG2 = 40;

// Maximum positive/negative argument for exponentiation.
const double PhaseSpace2to3diffractive::EXPMAX = 50.;

// Minimal mass of central diffractive system.
const double PhaseSpace2to3diffractive::DIFFMASSMIN = 0.8;

// Safety margin so sum of diffractive masses not too close to eCM.
const double PhaseSpace2to3diffractive::DIFFMASSMARGIN = 0.2;

//--------------------------------------------------------------------------

// Set up for phase space sampling.

bool PhaseSpace2to3diffractive::setupSampling() {
  
  // Pomeron flux parametrization, and parameters of some options.
  PomFlux      = settingsPtr->mode("Diffraction:PomFlux");
  epsilonPF    = settingsPtr->parm("Diffraction:PomFluxEpsilon");
  alphaPrimePF = settingsPtr->parm("Diffraction:PomFluxAlphaPrime");
  
  // Find maximum = value of cross section.
  sigmaNw      = sigmaProcessPtr->sigmaHatWrap();
  sigmaMx      = sigmaNw;

  // Squared masses of particles and minimal mass of diffractive states.
  s1           = mA * mA;
  s2           = mB * mB;
  m5min        = sigmaTotPtr->mMinAXB();
  s5min        = m5min * m5min;

  // Loop over two cases: s4 = (X + B)^2 and s3 = (A + X)^2.
  for (int i = 0; i < 2; ++i) {
    s3 = (i == 0) ? s1 : pow2(mA + m5min);
    s4 = (i == 0) ? pow2(mB + m5min) : s2;

    // Determine maximum possible t range and coefficient of generation.
    double lambda12 = sqrtpos( pow2( s - s1 - s2) - 4. * s1 * s2 );
    double lambda34 = sqrtpos( pow2( s - s3 - s4) - 4. * s3 * s4 );
    double tempA    = s - (s1 + s2 + s3 + s4) + (s1 - s2) * (s3 - s4) / s;
    double tempB    = lambda12 *  lambda34 / s;
    double tempC    = (s3 - s1) * (s4 - s2) + (s1 + s4 - s2 - s3)
                    * (s1 * s4 - s2 * s3) / s;
    tLow[i]         = -0.5 * (tempA + tempB);
    tUpp[i]         = tempC / tLow[i];
  }
  s3 = s1;
  s4 = s2;

  // Default for all parametrization-specific parameters.
  bSlope1 = bSlope2 = bSlope = xIntPF = xIntInvPF = xtCorPF = mp24DL
    = coefDL = 0.;
  for (int i = 0; i < 2; ++i)
    bMin[i] = tAux[i] = probSlope1[i] = tAux1[i] = tAux2[i] = 0.;
  
  // Schuler&Sjostrand: lower limit diffractive slope.
  if (PomFlux == 1) {
    bMin[0] = sigmaTotPtr->bMinSlopeAX();
    tAux[0] = exp( max(-EXPMAX, bMin[0] * (tLow[0] - tUpp[0])) ) - 1.;
    bMin[1] = sigmaTotPtr->bMinSlopeXB();
    tAux[1] = exp( max(-EXPMAX, bMin[1] * (tLow[1] - tUpp[1])) ) - 1.;

  // Bruni&Ingelman: relative weight of two diffractive slopes.
  } else if (PomFlux == 2) {
    bSlope1     = 8.0;
    bSlope2     = 3.0;
    for (int i = 0; i < 2; ++i) {
      probSlope1[i]  = 6.38 * ( exp(max(-EXPMAX, bSlope1 * tUpp[i]))
                     -  exp(max(-EXPMAX, bSlope1 * tLow[i])) ) / bSlope1;
      double pS2     = 0.424 * ( exp(max(-EXPMAX, bSlope2 * tUpp[i]))
                     -  exp(max(-EXPMAX, bSlope2 * tLow[i])) ) / bSlope2;
      probSlope1[i] /= probSlope1[i] + pS2;
      tAux1[i] = exp( max(-EXPMAX, bSlope1 * (tLow[i] - tUpp[i])) ) - 1.;
      tAux2[i] = exp( max(-EXPMAX, bSlope2 * (tLow[i] - tUpp[i])) ) - 1.;
    }

  // Streng&Berger (RapGap): diffractive slope, power of mass spectrum.
  } else if (PomFlux == 3) {
    bSlope        = 4.7;
    double xPowPF = 1. - 2. * (1. + epsilonPF);
    xIntPF        = 1. + xPowPF;
    xIntInvPF     = 1. / xIntPF;
    xtCorPF       = 2. * alphaPrimePF;
    tAux[0]       = exp( max(-EXPMAX, bSlope  * (tLow[0] - tUpp[0])) ) - 1.;
    tAux[1]       = exp( max(-EXPMAX, bSlope  * (tLow[1] - tUpp[1])) ) - 1.;

  // Donnachie&Landshoff (RapGap):  power of mass spectrum.
  } else if (PomFlux == 4) {
    mp24DL        = 4. * pow2(particleDataPtr->m0(2212));
    double xPowPF = 1. - 2. * (1. + epsilonPF);
    xIntPF        = 1. + xPowPF;
    xIntInvPF     = 1. / xIntPF;
    xtCorPF       = 2. * alphaPrimePF;
    // Upper estimate of t dependence, for preliminary choice.
    coefDL        = 0.85;
    tAux1[0]      = 1. / pow3(1. - coefDL * tLow[0]);
    tAux2[0]      = 1. / pow3(1. - coefDL * tUpp[0]);
    tAux1[1]      = 1. / pow3(1. - coefDL * tLow[1]);
    tAux2[1]      = 1. / pow3(1. - coefDL * tUpp[1]);

  // Setup for the MBR model.
  } else if (PomFlux == 5) {
    epsMBR        = settingsPtr->parm("Diffraction:MBRepsilon");
    alphMBR       = settingsPtr->parm("Diffraction:MBRalpha");
    m2minMBR      = settingsPtr->parm("Diffraction:MBRm2Min");
    dyminMBR      = settingsPtr->parm("Diffraction:MBRdyminCD");
    dyminSigMBR   = settingsPtr->parm("Diffraction:MBRdyminSigCD");
    dyminInvMBR   = sqrt(2.) / dyminSigMBR;
    // Max f(dy) for Von Neumann method, dpepmax from SigmaTot.
    dpepmax       = sigmaTotPtr->dpepMax();
  }

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Select a trial kinematics phase space point. Perform full
// Monte Carlo acceptance/rejection at this stage.

bool PhaseSpace2to3diffractive::trialKin( bool, bool ) {

  // Allow for possibility that energy varies from event to event.
  if (doEnergySpread) {
    eCM       = infoPtr->eCM();
    s         = eCM * eCM;
    for (int i = 0; i < 2; ++i) {
      s3 = (i == 0) ? s1 : pow2(mA + m5min);
      s4 = (i == 0) ? pow2(mB + m5min) : s2;
      double lambda12 = sqrtpos( pow2( s - s1 - s2) - 4. * s1 * s2 );
      double lambda34 = sqrtpos( pow2( s - s3 - s4) - 4. * s3 * s4 );
      double tempA    = s - (s1 + s2 + s3 + s4) + (s1 - s2) * (s3 - s4) / s;
      double tempB    = lambda12 *  lambda34 / s;
      double tempC    = (s3 - s1) * (s4 - s2) + (s1 + s4 - s2 - s3)
                      * (s1 * s4 - s2 * s3) / s;
      tLow[i]         = -0.5 * (tempA + tempB);
      tUpp[i]         = tempC / tLow[i];
    }
    s3 = s1;
    s4 = s2;
    if (PomFlux == 1) {
      tAux[0] = exp( max(-EXPMAX, bMin[0] * (tLow[0] - tUpp[0])) ) - 1.;
      tAux[1] = exp( max(-EXPMAX, bMin[1] * (tLow[1] - tUpp[1])) ) - 1.;
    } else if (PomFlux == 2) {
      for (int i = 0; i < 2; ++i) {
        tAux1[i] = exp( max(-EXPMAX, bSlope1 * (tLow[i] - tUpp[i])) ) - 1.;
        tAux2[i] = exp( max(-EXPMAX, bSlope2 * (tLow[i] - tUpp[i])) ) - 1.;
      }
    } else if (PomFlux == 3) {
      tAux[0]       = exp( max(-EXPMAX, bSlope  * (tLow[0] - tUpp[0])) ) - 1.;
      tAux[1]       = exp( max(-EXPMAX, bSlope  * (tLow[1] - tUpp[1])) ) - 1.;
    } else if (PomFlux == 4) {
      tAux1[0]      = 1. / pow3(1. - coefDL * tLow[0]);
      tAux2[0]      = 1. / pow3(1. - coefDL * tUpp[0]);
      tAux1[1]      = 1. / pow3(1. - coefDL * tLow[1]);
      tAux2[1]      = 1. / pow3(1. - coefDL * tUpp[1]);
    }
  }

  // Trivial kinematics of incoming hadrons.
  double lambda12 = sqrtpos( pow2( s - s1 - s2) - 4. * s1 * s2 );
  pAbs            = 0.5 * lambda12 / eCM;
  p1.p( 0., 0.,  pAbs, 0.5 * (s + s1 - s2) / eCM);
  p2.p( 0., 0., -pAbs, 0.5 * (s + s2 - s1) / eCM);
  
  // Loop over attempts to set up mass, t1, t2 consistently.
  for (int loop = 0; ; ++loop) {
    if (loop == NTRY) {
      infoPtr->errorMsg("Error in PhaseSpace2to3diffractive::trialKin: "
      " quit after repeated tries");
      return false;
    }
    double xi1 = 0.;
    double xi2 = 0.;
    double tVal[2] = { 0., 0.};
  
    // Schuler and Sjostrand:
    if (PomFlux == 1) {
 
      // Select mass according to dxi_1/xi_1 * dxi_2/xi_2 * (1 - m^2/s).
      do {
        xi1 = pow( s5min / s, rndmPtr->flat());
        xi2 = pow( s5min / s, rndmPtr->flat());
        s5 = xi1 * xi2 * s;
      } while (s5 < s5min || xi1 * xi2 > rndmPtr->flat());
      if (mA + mB + sqrt(s5) + DIFFMASSMARGIN >= eCM) continue;

      // Select t according to exp(bMin*t) and correct to right slope.
      bool tryAgain = false;
      for (int i = 0; i < 2; ++i) {
        tVal[i] = tUpp[i] + log(1. + tAux[i] * rndmPtr->flat()) / bMin[i];
        double bDiff = (i == 0) ? sigmaTotPtr->bSlopeAX(s2 + xi1 * s)
                                : sigmaTotPtr->bSlopeXB(s1 + xi2 * s);
        bDiff = max(0., bDiff - bMin[i]);
        if (exp( max(-EXPMAX, bDiff * (tVal[i] - tUpp[i])) )
          < rndmPtr->flat()) tryAgain = true;
      }
      if (tryAgain) continue;

    // Bruni and Ingelman:
    } else if (PomFlux == 2) {
 
      // Select mass according to dxi_1/xi_1 * dxi_2/xi_2.
      do {
        xi1 = pow( s5min / s, rndmPtr->flat());
        xi2 = pow( s5min / s, rndmPtr->flat());
        s5 = xi1 * xi2 * s;
      } while (s5 < s5min);
      if (mA + mB + sqrt(s5) + DIFFMASSMARGIN >= eCM) continue;

      // Select t according to exp(bSlope*t) with two possible slopes.
      for (int i = 0; i < 2; ++i)
        tVal[i] = (rndmPtr->flat() < probSlope1[i])
                ? tUpp[i] + log(1. + tAux1[i] * rndmPtr->flat()) / bSlope1
                : tUpp[i] + log(1. + tAux2[i] * rndmPtr->flat()) / bSlope2;
 
    // Streng and Berger et al. (RapGap):
    } else if (PomFlux == 3) {

      // Select mass by dxi_1 * dxi_2 / (xi_1 * xi_2)^(1 + 2 epsilon).
      double sMinPow = pow( s5min / s, xIntPF);
      do {
        xi1 = pow( sMinPow + rndmPtr->flat() * (1. - sMinPow), xIntInvPF );
        xi2 = pow( sMinPow + rndmPtr->flat() * (1. - sMinPow), xIntInvPF );
        s5 = xi1 * xi2 * s;
      } while (s5 < s5min);
      if (mA + mB + sqrt(s5) + DIFFMASSMARGIN >= eCM) continue;

      // Select t according to exponential and weigh by x_P^(2 alpha' |t|).
      bool tryAgain = false;
      for (int i = 0; i < 2; ++i) {
        tVal[i] = tUpp[i] + log(1. + tAux[i] * rndmPtr->flat()) / bSlope;
        double xi = (i == 0) ? xi1 : xi2;
        if ( pow( xi, xtCorPF * abs(tVal[i]) ) < rndmPtr->flat() )
          tryAgain = true;
      }
      if (tryAgain) continue;
 
    // Donnachie and Landshoff (RapGap):
    } else if (PomFlux == 4) {
 
      // Select mass by dxi_1 * dxi_2 / (xi_1 * xi_2)^(1 + 2 epsilon).
      double sMinPow = pow( s5min / s, xIntPF);
      do {
        xi1 = pow( sMinPow + rndmPtr->flat() * (1. - sMinPow), xIntInvPF );
        xi2 = pow( sMinPow + rndmPtr->flat() * (1. - sMinPow), xIntInvPF );
        s5 = xi1 * xi2 * s;
      } while (s5 < s5min);
      if (mA + mB + sqrt(s5) + DIFFMASSMARGIN >= eCM) continue;
 
      // Select t according to power and weigh by x_P^(2 alpha' |t|).
      bool tryAgain = false;
      for (int i = 0; i < 2; ++i) {
        tVal[i] = - (1. / pow( tAux1[i] + rndmPtr->flat()
                * (tAux2[i] - tAux1[i]), 1./3.) - 1.) / coefDL;
        double wDL = pow2( (mp24DL - 2.8 * tVal[i]) / (mp24DL - tVal[i]) )
                   / pow4( 1. - tVal[i] / 0.7);
        double wMX = 1. / pow4( 1. - coefDL * tVal[i]);
        if (wDL < rndmPtr->flat() * wMX) tryAgain = true;
        double xi = (i == 0) ? xi1 : xi2;
        if ( pow( xi, xtCorPF * abs(tVal[i]) ) < rndmPtr->flat() )
          tryAgain = true;
      }
      if (tryAgain) continue;

    // The MBR model (PomFlux == 5).
    } else {
      double dymin0 = 0.;
      double dymax  = log(s/m2minMBR);
      double f1, f2, step2, dy, yc, ycmin, ycmax, dy1, dy2,
             P, P1, P2, yRnd, yRnd1, yRnd2;
    
      // Von Neumann method to generate dy, uses dpepmax from SigmaTot.
      do {
        dy    = dymin0 + (dymax - dymin0) * rndmPtr->flat();
        P     = 0.;
        step2 = (dy - dymin0) / NINTEG2;
        for (int j = 0; j < NINTEG2 ; ++j) {
          yc  = -(dy - dymin0) / 2. + (j + 0.5) * step2;
          dy1 = 0.5 * dy - yc;
          dy2 = 0.5 * dy + yc;
          f1  = exp(epsMBR * dy1) * ( (FFA1 / (FFB1 + 2. * alphMBR * dy1) )
              + (FFA2 / (FFB2 + 2. * alphMBR * dy1) ) );
          f2  = exp(epsMBR * dy2) * ( (FFA1 / (FFB1 + 2. * alphMBR * dy2) )
              + (FFA2 / (FFB2 + 2. * alphMBR * dy2) ) );
          f1 *= 0.5 * (1. + erf( (dy1 - 0.5 * dyminMBR) * dyminInvMBR ));
          f2 *= 0.5 * (1. + erf( (dy2 - 0.5 * dyminMBR) * dyminInvMBR ));
          P  += f1 * f2 * step2;
        }
        if (P > dpepmax) {
          ostringstream osWarn;
          osWarn << "dpepmax = " << scientific << setprecision(3)
                 << dpepmax << " " << P << " " << dy << endl;
          infoPtr->errorMsg("Warning in PhaseSpace2to2diffractive::"
            "trialKin for central diffraction:", osWarn.str());
        }
        yRnd = dpepmax * rndmPtr->flat();
      
        // Generate dyc.
        ycmax = (dy - dymin0) / 2.;
        ycmin = -ycmax;
        yc    = ycmin + (ycmax - ycmin) * rndmPtr->flat();
      
        // xi1, xi2 from dy and dy0.
        dy1 = 0.5 * dy + yc;
        dy2 = 0.5 * dy - yc;
        P1  = 0.5 * (1. + erf( (dy1 - 0.5 * dyminMBR) * dyminInvMBR ));
        P2  = 0.5 * (1. + erf( (dy2 - 0.5 * dyminMBR) * dyminInvMBR ));
        yRnd1 = rndmPtr->flat();
        yRnd2 = rndmPtr->flat();
      } while( !(yRnd < P && yRnd1 < P1 && yRnd2 < P2) );
      xi1 = exp( -dy1 );
      xi2 = exp( -dy2 );
    
      // Generate t1 at vertex1. First exponent, then FF*exp.
      double tmin  = -s1 * xi1 * xi1 / (1. - xi1);
      do {
        t1         = tmin + log(1. - rndmPtr->flat());
        double pFF = (4. * s1 - 2.8 * t1) / ( (4. * s1 - t1)
                   * pow2(1. - t1 / 0.71));
        P          = pow2(pFF) * exp(2. * alphMBR * dy1 * t1);
        yRnd       = exp(t1) * rndmPtr->flat();
      } while (yRnd > P);

      // Generate t2 at vertex2. First exponent, then FF*exp.
      tmin         = -s2 * xi2 * xi2 / (1. - xi2);
      do {
        t2         = tmin + log(1. - rndmPtr->flat());
        double pFF = (4. * s2 - 2.8 * t2) / ((4. * s2 - t2)
                   * pow2(1. - t2 / 0.71));
        P          = pow2(pFF) * exp(2. * alphMBR * dy2 * t2);
        yRnd       = exp(t2) * rndmPtr->flat();
      } while (yRnd > P);
    }

    // Checks and kinematics construction four first options.
    double pz3 = 0.;
    double pz4 = 0.;
    double pT3 = 0.;
    double pT4 = 0.;
    if (PomFlux < 5) {

      // Check whether m^2 (i.e. xi) and t choices are consistent.
      bool tryAgain   = false;
      for (int i = 0; i < 2; ++i) {
        double sx1 = (i == 0) ? s1 : s2;
        double sx2 = (i == 0) ? s2 : s1;
        double sx3 = sx1;
        double sx4 = (i == 0) ? s2 + xi1 * s : s1 + xi2 * s;
        if (sqrt(sx3) + sqrt(sx4) + DIFFMASSMARGIN > eCM) tryAgain = true;
        double lambda34 = sqrtpos( pow2( s - sx3 - sx4) - 4. * sx3 * sx4 );
        double tempA    = s - (sx1 + sx2 + sx3 + sx4)
                        + (sx1 - sx2) * (sx3 - sx4) / s;
        double tempB    = lambda12 * lambda34 / s;
        double tempC    = (sx3 - sx1) * (sx4 - sx2) + (sx1 + sx4 - sx2 - sx3)
                        * (sx1 * sx4 - sx2 * sx3) / s;
        double tLowNow  = -0.5 * (tempA + tempB);
        double tUppNow  = tempC / tLowNow;
        if (tVal[i] < tLowNow || tVal[i] > tUppNow) tryAgain = true;
        if (tryAgain) break;

        // Careful reconstruction of scattering angle.
        double cosTheta = min(1., max(-1., (tempA + 2. * tVal[i]) / tempB));
        double sinTheta = 2. * sqrtpos( -(tempC + tempA * tVal[i]
                        + tVal[i] * tVal[i]) ) / tempB;
        theta           = asin( min(1., sinTheta));
        if (cosTheta < 0.) theta = M_PI - theta;
        double pAbs34   = 0.5 * lambda34 / eCM;
        if (i == 0) {
          pz3   =  pAbs34 * cos(theta);
          pT3   =  pAbs34 * sin(theta);
        } else {
          pz4   = -pAbs34 * cos(theta);
          pT4   =  pAbs34 * sin(theta);
        }
      }
      if (tryAgain) continue;
      t1        = tVal[0];
      t2        = tVal[1];

    // Kinematics construction in the MBR model.
    } else {
      pz3       =  pAbs * (1. - xi1);
      pz4       = -pAbs * (1. - xi2);
      pT3       =  sqrt( (1. - xi1) * abs(t1) - s1 * pow2(xi1) );
      pT4       =  sqrt( (1. - xi2) * abs(t2) - s2 * pow2(xi2) );
    }

    // Common final steps of kinematics.
    double phi3 = 2. * M_PI * rndmPtr->flat();
    double phi4 = 2. * M_PI * rndmPtr->flat();
    p3.p( pT3 * cos(phi3), pT3 * sin(phi3), pz3,
          sqrt(pz3 * pz3 + pT3 * pT3 + s1) );
    p4.p( pT4 * cos(phi4), pT4 * sin(phi4), pz4,
          sqrt(pz4 * pz4 + pT4 * pT4 + s2) );
    
    // Central dissociated system, from Pomeron-Pomeron 4 vectors.
    p5   = (p1 - p3) + (p2 - p4);
    mHat = p5.mCalc();
    
    // If acceptable diffractive mass then no more looping.
    if (mHat > DIFFMASSMIN) break;
  }
  return true;
  
}

//--------------------------------------------------------------------------

// Construct the four-vector kinematics from the trial values.

bool PhaseSpace2to3diffractive::finalKin() {
  
  // Particle four-momenta and masses.
  pH[1] = p1;
  pH[2] = p2;
  pH[3] = p3;
  pH[4] = p4;
  pH[5] = p5;
  mH[1] = mA;
  mH[2] = mB;
  mH[3] = mA;
  mH[4] = mB;
  mH[5] = mHat;
  
  // Set some further info for completeness (but Info can be for subprocess).
  x1H   = 1.;
  x2H   = 1.;
  sH    = s;
  tH    = (p1 - p3).m2Calc();
  uH    = (p2 - p4).m2Calc();
  mHat  = eCM;
  p2Abs = pAbs * pAbs;
  betaZ = 0.;
  // Store average pT of three final particles for documentation.
  pTH   = (p3.pT() + p4.pT() + p5.pT()) / 3.;
  
  // Done.
  return true;

}

//==========================================================================

// PhaseSpace2to3tauycyl class.
// 2 -> 3 kinematics for normal subprocesses.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Number of Newton-Raphson iterations of kinematics when masses introduced.
const int PhaseSpace2to3tauycyl::NITERNR = 5;

//--------------------------------------------------------------------------

// Set up for fixed or Breit-Wigner mass selection.
  
bool PhaseSpace2to3tauycyl::setupMasses() {

  // Treat Z0 as such or as gamma*/Z0
  gmZmode         = gmZmodeGlobal;
  int gmZmodeProc = sigmaProcessPtr->gmZmode();
  if (gmZmodeProc >= 0) gmZmode = gmZmodeProc;

  // Set sHat limits - based on global limits only.
  mHatMin   = mHatGlobalMin;
  sHatMin   = mHatMin*mHatMin;
  mHatMax   = eCM;
  if (mHatGlobalMax > mHatGlobalMin) mHatMax = min( eCM, mHatGlobalMax);
  sHatMax   = mHatMax*mHatMax;

  // Masses and widths of resonances.
  setupMass1(3);
  setupMass1(4);
  setupMass1(5);

  // Reduced mass range - do not make it as fancy as in two-body case.
  if (useBW[3]) mUpper[3] -= (mPeak[4] + mPeak[5]);
  if (useBW[4]) mUpper[4] -= (mPeak[3] + mPeak[5]);
  if (useBW[5]) mUpper[5] -= (mPeak[3] + mPeak[4]);

  // If closed phase space then unallowed process.
  bool physical = true;
  if (useBW[3] && mUpper[3] < mLower[3] + MASSMARGIN) physical = false;
  if (useBW[4] && mUpper[4] < mLower[4] + MASSMARGIN) physical = false;
  if (useBW[5] && mUpper[5] < mLower[5] + MASSMARGIN) physical = false;
  if (!useBW[3] && !useBW[4] && !useBW[5] && mHatMax < mPeak[3]
    + mPeak[4] + mPeak[5] + MASSMARGIN) physical = false;
  if (!physical) return false;

  // No extra pT precautions in massless limit - assumed fixed by ME's.
  pTHatMin  = pTHatGlobalMin;
  pT2HatMin = pTHatMin * pTHatMin;
  pTHatMax  = pTHatGlobalMax;
  pT2HatMax = pTHatMax * pTHatMax;

  // Prepare to select m3 by BW + flat + 1/s_3.
  if (useBW[3]) {
    double distToThreshA = (mHatMax - mPeak[3] - mPeak[4] - mPeak[5])
      * mWidth[3] / (pow2(mWidth[3]) + pow2(mWidth[4]) + pow2(mWidth[5]));
    double distToThreshB = (mHatMax - mPeak[3] - mMin[4] - mMin[5])
      / mWidth[3];
    double distToThresh = min( distToThreshA, distToThreshB);
    setupMass2(3, distToThresh);
  }

  // Prepare to select m4 by BW + flat + 1/s_3.
  if (useBW[4]) {
    double distToThreshA = (mHatMax - mPeak[3] - mPeak[4] - mPeak[5])
      * mWidth[4] / (pow2(mWidth[3]) + pow2(mWidth[4]) + pow2(mWidth[5]));
    double distToThreshB = (mHatMax - mPeak[4] - mMin[3] - mMin[5])
      / mWidth[4];
    double distToThresh = min( distToThreshA, distToThreshB);
    setupMass2(4, distToThresh);
  }

  // Prepare to select m5 by BW + flat + 1/s_3.
  if (useBW[5]) {
    double distToThreshA = (mHatMax - mPeak[3] - mPeak[4] - mPeak[5])
      * mWidth[5] / (pow2(mWidth[3]) + pow2(mWidth[4]) + pow2(mWidth[5]));
    double distToThreshB = (mHatMax - mPeak[5] - mMin[3] - mMin[4])
      / mWidth[5];
    double distToThresh = min( distToThreshA, distToThreshB);
    setupMass2(5, distToThresh);
  }

  // Initialization masses. For now give up when constrained phase space.
  m3 = (useBW[3]) ? min(mPeak[3], mUpper[3]) : mPeak[3];
  m4 = (useBW[4]) ? min(mPeak[4], mUpper[4]) : mPeak[4];
  m5 = (useBW[5]) ? min(mPeak[5], mUpper[5]) : mPeak[5];
  if (m3 + m4 + m5 + MASSMARGIN > mHatMax) physical = false;
  s3 = m3*m3;
  s4 = m4*m4;
  s5 = m5*m5;

  // Correct selected mass-spectrum to running-width Breit-Wigner.
  // Extra safety margin for maximum search.
  wtBW = 1.;
  if (useBW[3]) wtBW *= weightMass(3) * EXTRABWWTMAX;
  if (useBW[4]) wtBW *= weightMass(4) * EXTRABWWTMAX;
  if (useBW[5]) wtBW *= weightMass(5) * EXTRABWWTMAX;

  // Done.
  return physical;

}

//--------------------------------------------------------------------------

// Select Breit-Wigner-distributed or fixed masses.
  
bool PhaseSpace2to3tauycyl::trialMasses() {

  // By default vanishing cross section.
  sigmaNw = 0.;
  wtBW = 1.;

  // Pick m3, m4 and m5 independently.
  trialMass(3);
  trialMass(4);
  trialMass(5);

  // If outside phase space then reject event.
  if (m3 + m4 + m5 + MASSMARGIN > mHatMax) return false;

  // Correct selected mass-spectrum to running-width Breit-Wigner.
  if (useBW[3]) wtBW *= weightMass(3);
  if (useBW[4]) wtBW *= weightMass(4);
  if (useBW[5]) wtBW *= weightMass(5);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Construct the four-vector kinematics from the trial values.

bool PhaseSpace2to3tauycyl::finalKin() {

  // Assign masses to particles assumed massless in matrix elements.
  int id3 = sigmaProcessPtr->id(3);
  int id4 = sigmaProcessPtr->id(4);
  int id5 = sigmaProcessPtr->id(5);
  if (idMass[3] == 0) { m3 = particleDataPtr->m0(id3); s3 = m3*m3; }
  if (idMass[4] == 0) { m4 = particleDataPtr->m0(id4); s4 = m4*m4; }
  if (idMass[5] == 0) { m5 = particleDataPtr->m0(id5); s5 = m5*m5; }

  // Check that phase space still open after new mass assignment.
  if (m3 + m4 + m5 + MASSMARGIN > mHat) {
    infoPtr->errorMsg("Warning in PhaseSpace2to3tauycyl::finalKin: "
      "failed after mass assignment");
    return false;
  }

  // Particle masses; incoming always on mass shell.
  mH[1] = 0.;
  mH[2] = 0.;
  mH[3] = m3;
  mH[4] = m4;
  mH[5] = m5;

  // Incoming partons along beam axes.
  pH[1] = Vec4( 0., 0., 0.5 * eCM * x1H, 0.5 * eCM * x1H);
  pH[2] = Vec4( 0., 0., -0.5 * eCM * x2H, 0.5 * eCM * x2H);

  // Begin three-momentum rescaling to compensate for masses.
  if (idMass[3] == 0 || idMass[4] == 0 || idMass[5] == 0) {
    double p3S = p3cm.pAbs2();
    double p4S = p4cm.pAbs2();
    double p5S = p5cm.pAbs2();
    double fac = 1.;
    double e3, e4, e5, value, deriv;
  
    // Iterate rescaling solution five times, using Newton-Raphson.
    for (int i = 0; i < NITERNR; ++i) {
      e3    = sqrt(s3 + fac * p3S);
      e4    = sqrt(s4 + fac * p4S);
      e5    = sqrt(s5 + fac * p5S);
      value = e3 + e4 + e5 - mHat;
      deriv = 0.5 * (p3S / e3 + p4S / e4 + p5S / e5);
      fac  -= value / deriv;
    }

    // Rescale momenta appropriately.
    double facRoot = sqrt(fac);
    p3cm.rescale3( facRoot );
    p4cm.rescale3( facRoot );
    p5cm.rescale3( facRoot );
    p3cm.e( sqrt(s3 + fac * p3S) );
    p4cm.e( sqrt(s4 + fac * p4S) );
    p5cm.e( sqrt(s5 + fac * p5S) );
  }

  // Outgoing partons initially in collision CM frame along beam axes.
  pH[3] = p3cm;
  pH[4] = p4cm;
  pH[5] = p5cm;

  // Then boost them to overall CM frame
  betaZ = (x1H - x2H)/(x1H + x2H);
  pH[3].rot( theta, phi);
  pH[4].rot( theta, phi);
  pH[3].bst( 0., 0., betaZ);
  pH[4].bst( 0., 0., betaZ);
  pH[5].bst( 0., 0., betaZ);

  // Store average pT of three final particles for documentation.
  pTH = (p3cm.pT() + p4cm.pT() + p5cm.pT()) / 3.;

  // Done.
  return true;
}

//==========================================================================

// The PhaseSpace2to3yyycyl class.
// Phase space for 2 -> 3 QCD processes, 1 + 2 -> 3 + 4 + 5 set up in
// y3, y4, y5, pT2_3, pT2_5, phi_3 and phi_5, and with R separation cut.
// Note: here cout is used for output, not os. Change??

//--------------------------------------------------------------------------

//  Sample the phase space of the process.

bool PhaseSpace2to3yyycyl::setupSampling() {

  // Phase space cuts specifically for 2 -> 3 QCD processes.
  pTHat3Min            = settingsPtr->parm("PhaseSpace:pTHat3Min");
  pTHat3Max            = settingsPtr->parm("PhaseSpace:pTHat3Max");
  pTHat5Min            = settingsPtr->parm("PhaseSpace:pTHat5Min");
  pTHat5Max            = settingsPtr->parm("PhaseSpace:pTHat5Max");
  RsepMin              = settingsPtr->parm("PhaseSpace:RsepMin");
  R2sepMin             = pow2(RsepMin);

  // If both beams are baryons then softer PDF's than for mesons/Pomerons.
  hasBaryonBeams = ( beamAPtr->isBaryon() && beamBPtr->isBaryon() );

  // Work with massless partons.
  for (int i = 0; i < 6; ++i) mH[i] = 0.;
  
  // Constrain to possible cuts at current CM energy and check consistency.
  pT3Min = pTHat3Min;
  pT3Max = pTHat3Max;
  if (pT3Max < pT3Min) pT3Max = 0.5 * eCM;
  pT5Min = pTHat5Min;
  pT5Max = pTHat5Max;
  if (pT5Max < pT5Min) pT5Max = 0.5 * eCM;
  if (pT5Max > pT3Max || pT5Min > pT3Min || pT3Min + 2. * pT5Min > eCM) {
    infoPtr->errorMsg("Error in PhaseSpace2to3yyycyl::setupSampling: "
    "inconsistent pT limits in 3-body phase space");
    return false;
  }

  // Loop over some configurations where cross section could be maximal.
  // In all cases all sum p_z = 0, for maximal PDF weights.
  // Also pT3 and R45 are minimal, while pT5 may vary.
  sigmaMx = 0.;
  double pT5EffMax = min( pT5Max, 0.5 * pT3Min / cos(0.5 * RsepMin) );
  double pT3EffMin = max( pT3Min, 2.0 * pT5Min * cos(0.5 * RsepMin) ) ;
  double sinhR = sinh(0.5 * RsepMin);
  double coshR = cosh(0.5 * RsepMin);
  for (int iStep = 0; iStep < 120; ++iStep) {

    // First kind: |phi4 - phi5| = R, all p_z = 0, i.e. separation in phi.
    if (iStep < 10) {
      pT3   = pT3EffMin;
      pT5   = pT5Min * pow( pT5EffMax / pT5Min, iStep / 9.);
      double pTRat    = pT5 / pT3;
      double sin2Rsep = pow2( sin(RsepMin) );
      double cosPhi35 = - cos(RsepMin) * sqrtpos(1. - sin2Rsep
        * pow2(pTRat)) - sin2Rsep * pTRat;
      cosPhi35 = max( cosPhi35, cos(M_PI - 0.5 * RsepMin) );
      double sinPhi35 = sqrt(1. - pow2(cosPhi35));
      pT4   = sqrt( pow2(pT3) + pow2(pT5) + 2. * pT3 * pT5 * cosPhi35);
      p3cm  = pT3 * Vec4( 1., 0., 0., 1.);
      p4cm  = Vec4(-pT3 - pT5 * cosPhi35, -pT5 * sinPhi35, 0., pT4);
      p5cm  = pT5 * Vec4( cosPhi35, sinPhi35, 0., 1.);

    // Second kind: |y4 - y5| = R, phi4 = phi5, i.e. separation in y.
    } else {
      pT5   = pT5Min * pow( pT5Max / pT5Min, iStep%10 / 9. );
      pT3   = max( pT3Min, 2. * pT5);
      pT4   = pT3 - pT5;
      p4cm  = pT4 * Vec4( -1., 0.,  sinhR, coshR );
      p5cm  = pT5 * Vec4( -1., 0., -sinhR, coshR );
      y3    = -1.2 + 0.2 * (iStep/10);
      p3cm  = pT3 * Vec4( 1., 0., sinh(y3), cosh(y3));
      betaZ = (p3cm.pz() + p4cm.pz() + p5cm.pz())
            / (p3cm.e()  + p4cm.e()  + p5cm.e());
      p3cm.bst( 0., 0., -betaZ);
      p4cm.bst( 0., 0., -betaZ);
      p5cm.bst( 0., 0., -betaZ);
    }

    // Find cross section in chosen phase space point.
    pInSum = p3cm + p4cm + p5cm;
    x1H   = pInSum.e() /  eCM;
    x2H   = x1H;
    sH    = pInSum.m2Calc();
    sigmaProcessPtr->set3Kin( x1H, x2H, sH, p3cm, p4cm, p5cm,
      0., 0., 0., 1., 1., 1.);
    sigmaNw = sigmaProcessPtr->sigmaPDF();

    // Multiply by Jacobian.
    double flux  = 1. /(8. * pow2(sH) * pow5(2. * M_PI));
    double pTRng = pow2(M_PI)
      * pow4(pT3) * (1./pow2(pT3Min) - 1./pow2(pT3Max))
      * pow2(pT5) * 2.* log(pT5Max/pT5Min);
    double yRng  = 8. * log(eCM / pT3) * log(eCM / pT4) * log(eCM / pT5);
    sigmaNw *= SAFETYMARGIN * flux * pTRng * yRng;
   
    // Update to largest maximum.
    if (showSearch && sigmaNw > sigmaMx) cout << "\n New sigmamax is "
      << scientific << setprecision(3) << sigmaNw << " for x1 = " << x1H
      << " x2 = " << x2H << " sH = " << sH << endl << " p3 = " << p3cm
      << " p4 = " << p4cm << " p5 = " << p5cm;
    if (sigmaNw > sigmaMx) sigmaMx = sigmaNw;
  }
  sigmaPos = sigmaMx;

  // Done.
  return true;
}

//--------------------------------------------------------------------------

//  Sample the phase space of the process.

bool PhaseSpace2to3yyycyl::trialKin(bool inEvent, bool) {

  // Allow for possibility that energy varies from event to event.
  if (doEnergySpread) {
    eCM   = infoPtr->eCM();
    s     = eCM * eCM;
  }
  sigmaNw = 0.;
  
  // Constrain to possible cuts at current CM energy and check consistency.
  pT3Min = pTHat3Min;
  pT3Max = pTHat3Max;
  if (pT3Max < pT3Min) pT3Max = 0.5 * eCM;
  pT5Min = pTHat5Min;
  pT5Max = pTHat5Max;
  if (pT5Max < pT5Min) pT5Max = 0.5 * eCM;
  if (pT5Max > pT3Max || pT5Min > pT3Min || pT3Min + 2. * pT5Min > eCM) {
    infoPtr->errorMsg("Error in PhaseSpace2to3yyycyl::trialKin: "
    "inconsistent pT limits in 3-body phase space");
    return false;
  }

  // Pick pT3 according to d^2(pT3)/pT3^4 and pT5 to d^2(pT5)/pT5^2.
  pT3    = pT3Min * pT3Max / sqrt( pow2(pT3Min) +
    rndmPtr->flat() * (pow2(pT3Max) - pow2(pT3Min)) );
  pT5Max = min(pT5Max, pT3);
  if (pT5Max < pT5Min) return false;
  pT5    = pT5Min * pow( pT5Max / pT5Min, rndmPtr->flat() );

  // Pick azimuthal angles flat and reconstruct pT4, between pT3 and pT5.
  phi3   = 2. * M_PI * rndmPtr->flat();
  phi5   = 2. * M_PI * rndmPtr->flat();
  pT4    = sqrt( pow2(pT3) + pow2(pT5) + 2. * pT3 * pT5 * cos(phi3 - phi5) );
  if (pT4 > pT3 || pT4 < pT5) return false;
  phi4   = atan2( -(pT3 * sin(phi3) + pT5 * sin(phi5)),
                  -(pT3 * cos(phi3) + pT5 * cos(phi5)) );

  // Pick rapidities flat in allowed ranges.
  y3Max  = log(eCM / pT3);
  y4Max  = log(eCM / pT4);
  y5Max  = log(eCM / pT5);
  y3     = y3Max * (2. * rndmPtr->flat() - 1.);
  y4     = y4Max * (2. * rndmPtr->flat() - 1.);
  y5     = y5Max * (2. * rndmPtr->flat() - 1.);

  // Reject some events at large rapidities to improve efficiency.
  // (Works for baryons, not pions or Pomerons if they have hard PDF's.)
  double WTy = (hasBaryonBeams) ? (1. - pow2(y3/y3Max))
             * (1. - pow2(y4/y4Max)) * (1. - pow2(y5/y5Max)) : 1.;
  if (WTy < rndmPtr->flat()) return false;

  // Check that any pair separated more then RsepMin in (y, phi) space.
  dphi   = abs(phi3 - phi4);
  if (dphi > M_PI) dphi = 2. * M_PI - dphi;
  if (pow2(y3 - y4) + pow2(dphi) < R2sepMin) return false;
  dphi   = abs(phi3 - phi5);
  if (dphi > M_PI) dphi = 2. * M_PI - dphi;
  if (pow2(y3 - y5) + pow2(dphi) < R2sepMin) return false;
  dphi   = abs(phi4 - phi5);
  if (dphi > M_PI) dphi = 2. * M_PI - dphi;
  if (pow2(y4 - y5) + pow2(dphi) < R2sepMin) return false;

  // Reconstruct all four-vectors.
  pH[3]  = pT3 * Vec4( cos(phi3), sin(phi3), sinh(y3), cosh(y3) );
  pH[4]  = pT4 * Vec4( cos(phi4), sin(phi4), sinh(y4), cosh(y4) );
  pH[5]  = pT5 * Vec4( cos(phi5), sin(phi5), sinh(y5), cosh(y5) );
  pInSum = pH[3] + pH[4] + pH[5];

  // Check that x values physical and sHat in allowed range.
  x1H    = (pInSum.e() + pInSum.pz()) /  eCM;
  x2H    = (pInSum.e() - pInSum.pz()) /  eCM;
  if (x1H >= 1. || x2H >= 1.) return false;
  sH     = pInSum.m2Calc();
  if ( sH < pow2(mHatGlobalMin) ||
    (mHatGlobalMax > mHatGlobalMin && sH > pow2(mHatGlobalMax)) )
    return false;

  // Boost four-vectors to rest frame of collision.
  betaZ  = (x1H - x2H)/(x1H + x2H);
  p3cm   = pH[3];    p3cm.bst( 0., 0., -betaZ);
  p4cm   = pH[4];    p4cm.bst( 0., 0., -betaZ);
  p5cm   = pH[5];    p5cm.bst( 0., 0., -betaZ);

  // Find cross section in chosen phase space point.
  sigmaProcessPtr->set3Kin( x1H, x2H, sH, p3cm, p4cm, p5cm,
    0., 0., 0., 1., 1., 1.);
  sigmaNw = sigmaProcessPtr->sigmaPDF();

  // Multiply by Jacobian. Correct for rejection of large rapidities.
  double flux  = 1. /(8. * pow2(sH) * pow5(2. * M_PI));
  double yRng  = 8. * y3Max * y4Max * y5Max;
  double pTRng = pow2(M_PI)
    * pow4(pT3) * (1./pow2(pT3Min) - 1./pow2(pT3Max))
    * pow2(pT5) * 2.* log(pT5Max/pT5Min);
  sigmaNw *= flux * yRng * pTRng / WTy;

  // Allow possibility for user to modify cross section.
  if (canModifySigma) sigmaNw
    *= userHooksPtr->multiplySigmaBy( sigmaProcessPtr, this, inEvent);
  if (canBiasSelection) sigmaNw
    *= userHooksPtr->biasSelectionBy( sigmaProcessPtr, this, inEvent);
  if (canBias2Sel) sigmaNw *= pow( pTH / bias2SelRef, bias2SelPow);

  // Check if maximum violated.
  newSigmaMx = false;
  if (sigmaNw > sigmaMx) {
    infoPtr->errorMsg("Warning in PhaseSpace2to3yyycyl::trialKin: "
      "maximum for cross section violated");

    // Violation strategy 1: increase maximum (always during initialization).
    if (increaseMaximum || !inEvent) {
      double violFact = SAFETYMARGIN * sigmaNw / sigmaMx;
      sigmaMx = SAFETYMARGIN * sigmaNw;
      newSigmaMx = true;
      if (showViolation) {
        if (violFact < 9.99) cout << fixed;
        else                 cout << scientific;
        cout << " PYTHIA Maximum for " << sigmaProcessPtr->name()
             << " increased by factor " << setprecision(3) << violFact
             << " to " << scientific << sigmaMx << endl;
      }

    // Violation strategy 2: weight event (done in ProcessContainer).
    } else if (showViolation && sigmaNw > sigmaPos) {
      double violFact = sigmaNw / sigmaMx;
      if (violFact < 9.99) cout << fixed;
      else                 cout << scientific;
      cout << " PYTHIA Maximum for " << sigmaProcessPtr->name()
           << " exceeded by factor " << setprecision(3) << violFact << endl;
      sigmaPos = sigmaNw;
    }
  }

  // Check if negative cross section.
  if (sigmaNw < sigmaNeg) {
    infoPtr->errorMsg("Warning in PhaseSpace2to3yyycyl::trialKin:"
      " negative cross section set 0", "for " +  sigmaProcessPtr->name() );
    sigmaNeg = sigmaNw;

    // Optional printout of (all) violations.
    if (showViolation) cout << " PYTHIA Negative minimum for "
      << sigmaProcessPtr->name() << " changed to " << scientific
      << setprecision(3) << sigmaNeg << endl;
  }
  if (sigmaNw < 0.) sigmaNw = 0.;


  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Construct the final kinematics of the process: not much left

bool PhaseSpace2to3yyycyl::finalKin() {

  // Work with massless partons.
  for (int i = 0; i < 6; ++i) mH[i] = 0.;

  // Ibncoming partons to collision.
  pH[1] = 0.5 * (pInSum.e() + pInSum.pz()) * Vec4( 0., 0.,  1., 1.);
  pH[2] = 0.5 * (pInSum.e() - pInSum.pz()) * Vec4( 0., 0., -1., 1.);

  // Some quantities meaningless for 2 -> 3. pT devined as average value.
  tH    = 0.;
  uH    = 0.;
  pTH = (pH[3].pT() + pH[4].pT() + pH[5].pT()) / 3.;
  theta = 0.;
  phi   = 0.;

  return true;
}


//==========================================================================

// The PhaseSpaceLHA class.
// A derived class for Les Houches events.
// Note: arbitrary subdivision into PhaseSpaceLHA and SigmaLHAProcess tasks.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// LHA convention with cross section in pb forces conversion to mb.
const double PhaseSpaceLHA::CONVERTPB2MB  = 1e-9;

//--------------------------------------------------------------------------

// Find maximal cross section for comparison with internal processes.

bool PhaseSpaceLHA::setupSampling() {

  // Find which strategy Les Houches events are produced with.
  strategy = lhaUpPtr->strategy();
  stratAbs = abs(strategy);
  if (strategy == 0 || stratAbs > 4) {
    ostringstream stratCode;
    stratCode << strategy;
    infoPtr->errorMsg("Error in PhaseSpaceLHA::setupSampling: unknown "
      "Les Houches Accord weighting stategy", stratCode.str());
    return false;
  }

  // Number of contributing processes.
  nProc = lhaUpPtr->sizeProc();

  // Loop over all processes. Read out maximum and cross section.
  xMaxAbsSum = 0.;
  xSecSgnSum = 0.;
  int    idPr;
  double xMax, xSec, xMaxAbs;
  for (int iProc = 0 ; iProc < nProc; ++iProc) {
    idPr = lhaUpPtr->idProcess(iProc);
    xMax = lhaUpPtr->xMax(iProc);
    xSec = lhaUpPtr->xSec(iProc);

    // Check for inconsistencies between strategy and stored values.
    if ( (strategy == 1 || strategy == 2) && xMax < 0.) {
      infoPtr->errorMsg("Error in PhaseSpaceLHA::setupSampling: "
        "negative maximum not allowed");
      return false;
    }
    if ( ( strategy == 2 || strategy == 3) && xSec < 0.) {
      infoPtr->errorMsg("Error in PhaseSpaceLHA::setupSampling: "
        "negative cross section not allowed");
      return false;
    }

    // Store maximal cross sections for later choice.
    if      (stratAbs == 1) xMaxAbs = abs(xMax);
    else if (stratAbs  < 4) xMaxAbs = abs(xSec);
    else                    xMaxAbs = 1.;
    idProc.push_back( idPr );
    xMaxAbsProc.push_back( xMaxAbs );

    // Find sum and convert to mb.
    xMaxAbsSum += xMaxAbs;
    xSecSgnSum += xSec;
  }
  sigmaMx  = xMaxAbsSum * CONVERTPB2MB;
  sigmaSgn = xSecSgnSum * CONVERTPB2MB;

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Construct the next process, by interface to Les Houches class.

bool PhaseSpaceLHA::trialKin( bool, bool repeatSame ) {
  
  // Must select process type in some cases.
  int idProcNow = 0;
  if (repeatSame) idProcNow = idProcSave;
  else if (stratAbs <= 2) {
    double xMaxAbsRndm = xMaxAbsSum * rndmPtr->flat();
    int iProc = -1;
    do    xMaxAbsRndm -= xMaxAbsProc[++iProc];
    while (xMaxAbsRndm > 0. && iProc < nProc - 1);
    idProcNow = idProc[iProc];
  }
  
  // Generate Les Houches event. Return if fail (= end of file).
  bool physical = lhaUpPtr->setEvent(idProcNow, mRecalculate);
  if (!physical) return false;

  // Find which process was generated.
  int    idPr = lhaUpPtr->idProcess();
  int    iProc = 0;
  for (int iP = 0; iP < int(idProc.size()); ++iP)
    if (idProc[iP] == idPr) iProc = iP;
  idProcSave = idPr;

  // Extract cross section and rescale according to strategy.
  double wtPr = lhaUpPtr->weight();
  if      (stratAbs ==  1) sigmaNw = wtPr * CONVERTPB2MB
    * xMaxAbsSum / xMaxAbsProc[iProc];
  else if (stratAbs ==  2) sigmaNw = (wtPr / abs(lhaUpPtr->xMax(iProc)))
    * sigmaMx;
  else if (strategy ==  3) sigmaNw = sigmaMx;
  else if (strategy == -3 && wtPr > 0.) sigmaNw =  sigmaMx;
  else if (strategy == -3)              sigmaNw = -sigmaMx;
  else if (stratAbs ==  4) sigmaNw = wtPr * CONVERTPB2MB;

  // Set x scales.
  x1H = lhaUpPtr->x1();
  x2H = lhaUpPtr->x2();

  // Done.
  return true;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/Analysis.cc0000644000175000017500000011660212357054760015237 0ustar  sunsun// Analysis.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// Sphericity, Thrust, ClusJet, CellJet and SlowJet classes.

#include "Pythia8/Analysis.h"
#include "Pythia8/FJcore.h"

namespace Pythia8 {

//==========================================================================

// Sphericity class.
// This class finds sphericity-related properties of an event.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Minimum number of particles to perform study.
const int    Sphericity::NSTUDYMIN     = 2;

// Maximum number of times that an error warning will be printed.
const int    Sphericity::TIMESTOPRINT  = 1;

// Assign mimimum squared momentum in weight to avoid division by zero.
const double Sphericity::P2MIN         = 1e-20;

// Second eigenvalue not too low or not possible to find eigenvectors.
const double Sphericity::EIGENVALUEMIN = 1e-10;

//--------------------------------------------------------------------------
 
// Analyze event.

bool Sphericity::analyze(const Event& event, ostream& os) {

  // Initial values, tensor and counters zero.
  eVal1 = eVal2 = eVal3 = 0.;
  eVec1 = eVec2 = eVec3 = 0.;
  double tt[4][4];
  for (int j = 1; j < 4; ++j)
  for (int k = j; k < 4; ++k) tt[j][k] = 0.;
  int nStudy = 0;
  double denom = 0.;

  // Loop over desired particles in the event.
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal()) {
    if (select >  2 &&  event[i].isNeutral() ) continue;
    if (select == 2 && !event[i].isVisible() ) continue;
    ++nStudy;

    // Calculate matrix to be diagonalized. Special cases for speed.
    double pNow[4];
    pNow[1] = event[i].px();
    pNow[2] = event[i].py();
    pNow[3] = event[i].pz();
    double p2Now = pNow[1]*pNow[1] + pNow[2]*pNow[2] + pNow[3]*pNow[3];
    double pWeight = 1.;
    if (powerInt == 1) pWeight = 1. / sqrt(max(P2MIN, p2Now));
    else if (powerInt == 0) pWeight = pow( max(P2MIN, p2Now), powerMod);
    for (int j = 1; j < 4; ++j)
    for (int k = j; k < 4; ++k) tt[j][k] += pWeight * pNow[j] * pNow[k];
    denom += pWeight * p2Now;
  }

  // Very low multiplicities (0 or 1) not considered.
  if (nStudy < NSTUDYMIN) {
    if (nFew < TIMESTOPRINT) os << " PYTHIA Error in " <<
    "Sphericity::analyze: too few particles" << endl;
    ++nFew;
    return false;
  }

  // Normalize tensor to trace = 1.
  for (int j = 1; j < 4; ++j)
  for (int k = j; k < 4; ++k) tt[j][k] /= denom;
 
  // Find eigenvalues to matrix (third degree equation).
  double qCoef = ( tt[1][1] * tt[2][2] + tt[1][1] * tt[3][3]
    + tt[2][2] * tt[3][3] - pow2(tt[1][2]) - pow2(tt[1][3])
    - pow2(tt[2][3]) ) / 3. - 1./9.;
  double qCoefRt = sqrt( -qCoef);
  double rCoef = -0.5 * ( qCoef + 1./9. + tt[1][1] * pow2(tt[2][3])
    + tt[2][2] * pow2(tt[1][3]) + tt[3][3] * pow2(tt[1][2])
    - tt[1][1] * tt[2][2] * tt[3][3] )
    + tt[1][2] * tt[1][3] * tt[2][3] + 1./27.;
  double pTemp = max( min( rCoef / pow3(qCoefRt), 1.), -1.);
  double pCoef = cos( acos(pTemp) / 3.);
  double pCoefRt = sqrt( 3. * (1. - pow2(pCoef)) );
  eVal1 = 1./3. + qCoefRt * max( 2. * pCoef,  pCoefRt - pCoef);
  eVal3 = 1./3. + qCoefRt * min( 2. * pCoef, -pCoefRt - pCoef);
  eVal2 = 1. - eVal1 - eVal3;

  // Begin find first and last eigenvector.
  for (int iVal = 0; iVal < 2; ++iVal) {
    double eVal = (iVal == 0) ? eVal1 : eVal3;

    // If all particles are back-to-back then simpleminded third axis.
    if (iVal > 0 && eVal2 < EIGENVALUEMIN) {
      if ( abs(eVec1.pz()) > 0.5) eVec3 = Vec4( 1., 0., 0., 0.);
      else                        eVec3 = Vec4( 0., 0., 1., 0.);
      eVec3 -= dot3( eVec1, eVec3) * eVec1;
      eVec3 /= eVec3.pAbs();
      eVec2  = cross3( eVec1, eVec3);
      return true;
    }

    // Set up matrix to diagonalize.
    double dd[4][4];
    for (int j = 1; j < 4; ++j) {
      dd[j][j] = tt[j][j] - eVal;
      for (int k = j + 1; k < 4; ++k) {
        dd[j][k] = tt[j][k];
        dd[k][j] = tt[j][k];
      }
    }

    // Find largest = pivotal element in matrix.
    int jMax = 0;
    int kMax = 0;
    double ddMax = 0.;
    for (int j = 1; j < 4; ++j)
    for (int k = 1; k < 4; ++k)
    if (abs(dd[j][k]) > ddMax) {
      jMax = j;
      kMax = k;
      ddMax = abs(dd[j][k]);
    }

    // Subtract one row from the other two; find new largest element.
    int jMax2 = 0;
    ddMax = 0.;
    for (int j = 1; j < 4; ++j)
    if ( j != jMax) {
      double pivot = dd[j][kMax] / dd[jMax][kMax];
      for (int k = 1; k < 4; ++k) {
        dd[j][k] -= pivot * dd[jMax][k];
        if (abs(dd[j][k]) > ddMax) {
          jMax2 = j;
          ddMax = abs(dd[j][k]);
        }
      }
    }

    // Construct eigenvector. Normalize to unit length; sign irrelevant.
    int k1 = kMax + 1; if (k1 > 3) k1 -= 3;
    int k2 = kMax + 2; if (k2 > 3) k2 -= 3;
    double eVec[4];
    eVec[k1]   = -dd[jMax2][k2];
    eVec[k2]   =  dd[jMax2][k1];
    eVec[kMax] = (dd[jMax][k1] * dd[jMax2][k2]
      - dd[jMax][k2] * dd[jMax2][k1]) / dd[jMax][kMax];
    double length = sqrt( pow2(eVec[1]) + pow2(eVec[2])
      + pow2(eVec[3]) );
 
    // Store eigenvectors.
    if (iVal == 0) eVec1 = Vec4( eVec[1] / length,
      eVec[2] / length, eVec[3] / length, 0.);
    else eVec3 = Vec4( eVec[1] / length,
      eVec[2] / length, eVec[3] / length, 0.);
  }

  // Middle eigenvector is orthogonal to the other two; sign irrelevant.
  eVec2 = cross3( eVec1, eVec3);

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Provide a listing of the info.
  
void Sphericity::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA Sphericity Listing  -------- \n";
  if (powerInt !=2) os << "      Nonstandard momentum power = "
     << fixed << setprecision(3) << setw(6) << power << "\n";
  os << "\n  no     lambda      e_x       e_y       e_z \n";

  // The three eigenvalues and eigenvectors.
  os << setprecision(5);
  os << "   1" << setw(11) << eVal1 << setw(11) << eVec1.px()
     << setw(10) << eVec1.py() << setw(10) << eVec1.pz() << "\n";
  os << "   2" << setw(11) << eVal2 << setw(11) << eVec2.px()
     << setw(10) << eVec2.py() << setw(10) << eVec2.pz() << "\n";
  os << "   3" << setw(11) << eVal3 << setw(11) << eVec3.px()
     << setw(10) << eVec3.py() << setw(10) << eVec3.pz() << "\n";

  // Listing finished.
  os << "\n --------  End PYTHIA Sphericity Listing  ----" << endl;

}


//==========================================================================

// Thrust class.
// This class finds thrust-related properties of an event.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Minimum number of particles to perform study.
const int    Thrust::NSTUDYMIN    = 2;

// Maximum number of times that an error warning will be printed.
const int    Thrust::TIMESTOPRINT = 1;

// Major not too low or not possible to find major axis.
const double Thrust::MAJORMIN     = 1e-10;

//--------------------------------------------------------------------------
 
// Analyze event.

bool Thrust::analyze(const Event& event, ostream& os) {

  // Initial values and counters zero.
  eVal1 = eVal2 = eVal3 = 0.;
  eVec1 = eVec2 = eVec3 = 0.;
  int nStudy = 0;
  vector pOrder;
  Vec4 pSum, nRef, pPart, pFull, pMax;

  // Loop over desired particles in the event.
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal()) {
    if (select >  2 &&  event[i].isNeutral() ) continue;
    if (select == 2 && !event[i].isVisible() ) continue;
    ++nStudy;

    // Store momenta. Use energy component for absolute momentum.
    Vec4 pNow = event[i].p();
    pNow.e(pNow.pAbs());
    pSum += pNow;
    pOrder.push_back(pNow);
  }

  // Very low multiplicities (0 or 1) not considered.
  if (nStudy < NSTUDYMIN) {
    if (nFew < TIMESTOPRINT) os << " PYTHIA Error in " <<
    "Thrust::analyze: too few particles" << endl;
    ++nFew;
    return false;
  }

  // Try all combinations of reference vector orthogonal to two particles.
  for (int i1 = 0; i1 < nStudy - 1; ++i1)
  for (int i2 = i1 + 1; i2 < nStudy; ++i2) {
    nRef = cross3( pOrder[i1], pOrder[i2]);
    nRef /= nRef.pAbs();
    pPart = 0.;

    // Add all momenta with sign; two choices for each reference particle.
    for (int i = 0; i < nStudy; ++i) if (i != i1 && i != i2) {
      if (dot3(pOrder[i], nRef) > 0.) pPart += pOrder[i];
      else                            pPart -= pOrder[i];
    }
    for (int j = 0; j < 4; ++j) {
      if      (j == 0) pFull = pPart + pOrder[i1] + pOrder[i2];
      else if (j == 1) pFull = pPart + pOrder[i1] - pOrder[i2];
      else if (j == 2) pFull = pPart - pOrder[i1] + pOrder[i2];
      else             pFull = pPart - pOrder[i1] - pOrder[i2];
      pFull.e(pFull.pAbs());
      if (pFull.e() > pMax.e()) pMax = pFull;
    }
  }

  // Maximum gives thrust axis and value.
  eVal1 = pMax.e() / pSum.e();
  eVec1 = pMax / pMax.e();
  eVec1.e(0.);

  // Subtract momentum along thrust axis.
  double pAbsSum = 0.;
  for (int i = 0; i < nStudy; ++i) {
    pOrder[i] -= dot3( eVec1, pOrder[i]) * eVec1;
    pOrder[i].e(pOrder[i].pAbs());
    pAbsSum += pOrder[i].e();
  }
    
  // Simpleminded major and minor axes if too little transverse left.
  if (pAbsSum < MAJORMIN * pSum.e()) {
    if ( abs(eVec1.pz()) > 0.5) eVec2 = Vec4( 1., 0., 0., 0.);
    else                        eVec2 = Vec4( 0., 0., 1., 0.);
    eVec2 -= dot3( eVec1, eVec2) * eVec1;
    eVec2 /= eVec2.pAbs();
    eVec3  = cross3( eVec1, eVec2);
    return true;
  }

  // Try all reference vectors orthogonal to one particles.
  pMax = 0.;
  for (int i1 = 0; i1 < nStudy; ++i1) {
    nRef = cross3( pOrder[i1], eVec1);
    nRef /= nRef.pAbs();
    pPart = 0.;

    // Add all momenta with sign; two choices for each reference particle.
    for (int i = 0; i < nStudy; ++i) if (i != i1) {
      if (dot3(pOrder[i], nRef) > 0.) pPart += pOrder[i];
      else                            pPart -= pOrder[i];
    }
    pFull = pPart + pOrder[i1];
    pFull.e(pFull.pAbs());
    if (pFull.e() > pMax.e()) pMax = pFull;
    pFull = pPart - pOrder[i1];
    pFull.e(pFull.pAbs());
    if (pFull.e() > pMax.e()) pMax = pFull;
  }

  // Maximum gives major axis and value.
  eVal2 = pMax.e() / pSum.e();
  eVec2 = pMax / pMax.e();
  eVec2.e(0.);

  // Orthogonal direction gives minor axis, and from there value.
  eVec3 = cross3( eVec1, eVec2);
  pAbsSum = 0.;
  for (int i = 0; i < nStudy; ++i)
    pAbsSum += abs( dot3(eVec3, pOrder[i]) );
  eVal3 = pAbsSum / pSum.e();

   // Done.
  return true;

}

//--------------------------------------------------------------------------

// Provide a listing of the info.
  
void Thrust::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA Thrust Listing  ------------ \n"
     << "\n          value      e_x       e_y       e_z \n";

  // The thrust, major and minor values and related event axes.
  os << setprecision(5);
  os << " Thr" << setw(11) << eVal1 << setw(11) << eVec1.px()
     << setw(10) << eVec1.py() << setw(10) << eVec1.pz() << "\n";
  os << " Maj" << setw(11) << eVal2 << setw(11) << eVec2.px()
     << setw(10) << eVec2.py() << setw(10) << eVec2.pz() << "\n";
  os << " Min" << setw(11) << eVal3 << setw(11) << eVec3.px()
     << setw(10) << eVec3.py() << setw(10) << eVec3.pz() << "\n";

  // Listing finished.
  os << "\n --------  End PYTHIA Thrust Listing  --------" << endl;

}

//==========================================================================

// SingleClusterJet class.
// Simple helper class to ClusterJet for a jet and its contents.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Assign minimal pAbs to avoid division by zero.
const double SingleClusterJet::PABSMIN  = 1e-10;

//--------------------------------------------------------------------------
 
// Distance measures between two SingleClusterJet objects.

double dist2Fun(int measure, const SingleClusterJet& j1,
  const SingleClusterJet& j2) {

  // JADE distance.
  if (measure == 2) return 2. * j1.pJet.e() * j2.pJet.e()
    * (1. - dot3( j1.pJet, j2.pJet) / (j1.pAbs * j2.pAbs) );

  // Durham distance.
  if (measure == 3) return 2. * pow2( min( j1.pJet.e(), j2.pJet.e() ) )
    * (1. - dot3( j1.pJet, j2.pJet) / (j1.pAbs * j2.pAbs) );

  // Lund distance; "default".
  return (j1.pAbs * j2.pAbs - dot3( j1.pJet, j2.pJet))
    * 2. * j1.pAbs * j2.pAbs / pow2(j1.pAbs + j2.pAbs);

}

//==========================================================================

// ClusterJet class.
// This class performs a jet clustering according to different
// distance measures: Lund, JADE or Durham.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Maximum number of times that an error warning will be printed.
const int    ClusterJet::TIMESTOPRINT   = 1;

// Assume the pi+- mass for all particles, except the photon, in one option.
const double ClusterJet::PIMASS        = 0.13957;

// Assign minimal pAbs to avoid division by zero.
const double ClusterJet::PABSMIN        = 1e-10;

// Initial pT/m preclustering scale as fraction of clustering one.
const double ClusterJet::PRECLUSTERFRAC = 0.1;

// Step with which pT/m is reduced if preclustering gives too few jets.
const double ClusterJet::PRECLUSTERSTEP = 0.8;

//--------------------------------------------------------------------------
 
// Analyze event.

bool ClusterJet::analyze(const Event& event, double yScaleIn,
  double pTscaleIn, int nJetMinIn, int nJetMaxIn, ostream& os) {

  // Input values. Initial values zero.
  yScale  = yScaleIn;
  pTscale = pTscaleIn;
  nJetMin = nJetMinIn;
  nJetMax = nJetMaxIn;
  particles.resize(0);
  jets.resize(0);
  Vec4 pSum;
  distances.clear();

  // Loop over desired particles in the event.
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal()) {
    if (select >  2 &&  event[i].isNeutral() ) continue;
    if (select == 2 && !event[i].isVisible() ) continue;

    // Store them, possibly with modified mass => new energy.
    Vec4 pTemp = event[i].p();
    if (massSet == 0 || massSet == 1) {
      double mTemp = (massSet == 0 || event[i].id() == 22)
        ? 0. : PIMASS;
      double eTemp = sqrt(pTemp.pAbs2() + pow2(mTemp));
      pTemp.e(eTemp);
    }
    particles.push_back( SingleClusterJet(pTemp, i) );
    pSum += pTemp;
  }

  // Very low multiplicities not considered.
  nParticles = particles.size();
  if (nParticles < nJetMin) {
    if (nFew < TIMESTOPRINT) os << " PYTHIA Error in " <<
    "ClusterJet::analyze: too few particles" << endl;
    ++nFew;
    return false;
  }

  // Squared maximum distance in GeV^2 for joining.
  double p2Sum = pSum.m2Calc();
  dist2Join = max( yScale * p2Sum, pow2(pTscale));
  dist2BigMin = 2. * max( dist2Join, p2Sum);

  // Do preclustering if desired and possible.
  if (doPrecluster && nParticles > nJetMin + 2) {
    precluster();
    if (doReassign) reassign();
  }

  // If no preclustering: each particle is a starting jet.
  else for (int i = 0; i < nParticles; ++i) {
    jets.push_back( SingleClusterJet(particles[i]) );
    particles[i].daughter = i;
  }
 
  // Begin iteration towards fewer jets.
  for ( ; ; ) {
 
    // Find the two closest jets.
    double dist2Min = dist2BigMin;
    int jMin = 0;
    int kMin = 0;
    for (int j = 0; j < int(jets.size()) - 1; ++j)
    for (int k = j + 1; k < int(jets.size()); ++k) {
      double dist2 = dist2Fun( measure, jets[j], jets[k]);
      if (dist2 < dist2Min) {
        dist2Min = dist2;
        jMin = j;
        kMin = k;
      }
    }

    // Stop if no pair below cut and not more jets than allowed.
    if ( dist2Min > dist2Join
      && (nJetMax < nJetMin || int(jets.size()) <= nJetMax) ) break;
    
    // Stop if reached minimum allowed number of jets. Else continue.
    if (int(jets.size()) <= nJetMin) break;

    // Join two closest jets.
    jets[jMin].pJet         += jets[kMin].pJet;
    jets[jMin].pAbs          = max( PABSMIN, jets[jMin].pJet.pAbs());
    jets[jMin].multiplicity += jets[kMin].multiplicity;
    for (int i = 0; i < nParticles; ++i)
    if (particles[i].daughter == kMin) particles[i].daughter = jMin;

    // Save the last 5 distances.
    distances.push_front(dist2Min);
    if (distances.size() > 5) distances.pop_back();

    // Move up last jet to empty slot to shrink list.
    jets[kMin]               = jets.back();
    jets.pop_back();
    int iEnd                 = jets.size();
    for (int i = 0; i < nParticles; ++i)
    if (particles[i].daughter == iEnd) particles[i].daughter = kMin;

    // Do reassignments of particles to nearest jet if desired.
    if (doReassign) reassign();
  }

  // Order jets in decreasing energy.
  for (int j = 0; j < int(jets.size()) - 1; ++j)
  for (int k = int(jets.size()) - 1; k > j; --k)
  if (jets[k].pJet.e() > jets[k-1].pJet.e()) {
    swap( jets[k], jets[k-1]);
    for (int i = 0; i < nParticles; ++i) {
      if (particles[i].daughter == k) particles[i].daughter = k-1;
      else if (particles[i].daughter == k-1) particles[i].daughter = k;
    }
  }

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Precluster nearby particles to save computer time.
  
void ClusterJet::precluster() {

  // Begin iteration over preclustering scale.
  distPre = PRECLUSTERFRAC * sqrt(dist2Join) / PRECLUSTERSTEP;
  for ( ; ;) {
    distPre *= PRECLUSTERSTEP;
    dist2Pre = pow2(distPre);
    for (int i = 0; i < nParticles; ++i) {
      particles[i].daughter   = -1;
      particles[i].isAssigned = false;
    }

    // Sum up low-momentum region. Jet if enough momentum.
    Vec4 pCentral;
    int multCentral = 0;
    for (int i = 0; i < nParticles; ++i)
    if (particles[i].pAbs < 2. * distPre) {
      pCentral    += particles[i].pJet;
      multCentral += particles[i].multiplicity;
      particles[i].isAssigned = true;
    }
    if (pCentral.pAbs() > 2. * distPre) {
      jets.push_back( SingleClusterJet(pCentral) );
      jets.back().multiplicity = multCentral;
      for (int i = 0; i < nParticles; ++i)
      if (particles[i].isAssigned) particles[i].daughter = 0;
    }

    // Find fastest remaining particle until none left.
    for ( ; ;) {
      int iMax = -1;
      double pMax = 0.;
      for (int i = 0; i < nParticles; ++i)
      if ( !particles[i].isAssigned && particles[i].pAbs > pMax) {
        iMax = i;
        pMax = particles[i].pAbs;
      }
      if (iMax == -1) break;
 
      // Sum up precluster around it according to distance function.
      Vec4 pPre;
      int multPre = 0;
      int nRemain = 0;
      for (int i = 0; i < nParticles; ++i)
      if ( !particles[i].isAssigned) {
        double dist2 = dist2Fun( measure, particles[iMax],
          particles[i]);
        if (dist2 < dist2Pre) {
          pPre += particles[i].pJet;
          ++multPre;
          particles[i].isAssigned = true;
          particles[i].daughter   = jets.size();
        } else ++nRemain;
      }
      jets.push_back( SingleClusterJet(pPre) );
      jets.back().multiplicity = multPre;

      // Decide whether sensible starting configuration or iterate.
      if (int(jets.size()) + nRemain < nJetMin) break;
    }
    if (int(jets.size()) >= nJetMin) break;
  }

}

//--------------------------------------------------------------------------

// Reassign particles to nearest jet to correct misclustering.
  
void ClusterJet::reassign() {
 
  // Reset clustered momenta.
  for (int j = 0; j < int(jets.size()); ++j) {
    jets[j].pTemp        = 0.;
    jets[j].multiplicity = 0;
  }

  // Loop through particles to find closest jet.
  for (int i = 0; i < nParticles; ++i) {
    particles[i].daughter = -1;
    double dist2Min = dist2BigMin;
    int jMin = 0;
    for (int j = 0; j < int(jets.size()); ++j) {
      double dist2 = dist2Fun( measure, particles[i], jets[j]);
      if (dist2 < dist2Min) {
        dist2Min = dist2;
        jMin = j;
      }
    }
    jets[jMin].pTemp += particles[i].pJet;
    ++jets[jMin].multiplicity;
    particles[i].daughter = jMin;
  }

  // Replace old by new jet momenta.
  for (int j = 0; j < int(jets.size()); ++j) {
    jets[j].pJet = jets[j].pTemp;
    jets[j].pAbs =  max( PABSMIN, jets[j].pJet.pAbs());
  }

  // Check that no empty clusters after reassignments.
  for ( ;  ; ) {

    // If no empty jets then done.
    int jEmpty = -1;
    for (int j = 0; j < int(jets.size()); ++j)
      if (jets[j].multiplicity == 0) jEmpty = j;
    if (jEmpty == -1) return;

    // Find particle assigned to jet with largest distance to it.
    int iSplit = -1;
    double dist2Max = 0.;
    for (int i = 0; i < nParticles; ++i) {
      int j = particles[i].daughter;
      double dist2 = dist2Fun( measure, particles[i], jets[j]);
      if (dist2 > dist2Max) {
        iSplit = i;
        dist2Max = dist2;
      }
    }

    // Let this particle form new jet and subtract off from existing.
    int jSplit         = particles[iSplit].daughter;
    jets[jEmpty]       = SingleClusterJet( particles[iSplit].pJet );
    jets[jSplit].pJet -=  particles[iSplit].pJet;
    jets[jSplit].pAbs  =  max( PABSMIN,jets[jSplit].pJet.pAbs());
    particles[iSplit].daughter = jEmpty;
    --jets[jSplit].multiplicity;
  }

}

//--------------------------------------------------------------------------

// Provide a listing of the info.
  
void ClusterJet::list(ostream& os) const {

  // Header.
  string method = (measure == 1) ? "Lund pT"
        : ( (measure == 2) ? "JADE m" : "Durham kT" ) ;
  os << "\n --------  PYTHIA ClusterJet Listing, " << setw(9) <<  method
     << " =" << fixed << setprecision(3) << setw(7) << sqrt(dist2Join)
     << " GeV  --- \n \n  no  mult      p_x        p_y        p_z    "
     << "     e          m \n";

  // The jets.
  for (int i = 0; i < int(jets.size()); ++i) {
    os << setw(4) << i << setw(6) << jets[i].multiplicity << setw(11)
       << jets[i].pJet.px() << setw(11) << jets[i].pJet.py()
       << setw(11) << jets[i].pJet.pz() << setw(11)
       << jets[i].pJet.e() << setw(11) << jets[i].pJet.mCalc()
       << "\n";
  }

  // Listing finished.
  os << "\n --------  End PYTHIA ClusterJet Listing  ---------------"
     << "--------" << endl;
}

//==========================================================================

// CellJet class.
// This class performs a cone jet search in (eta, phi, E_T) space.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Minimum number of particles to perform study.
const int CellJet::TIMESTOPRINT = 1;

//--------------------------------------------------------------------------
 
// Analyze event.

bool CellJet::analyze(const Event& event, double eTjetMinIn,
  double coneRadiusIn, double eTseedIn, ostream& ) {

  // Input values. Initial values zero.
  eTjetMin   = eTjetMinIn;
  coneRadius = coneRadiusIn;
  eTseed     = eTseedIn;
  jets.resize(0);
  vector cells;

  // Loop over desired particles in the event.
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal()) {
    if (select >  2 &&  event[i].isNeutral() ) continue;
    if (select == 2 && !event[i].isVisible() ) continue;

    // Find particle position in (eta, phi, pT) space.
    double etaNow = event[i].eta();
    if (abs(etaNow) > etaMax) continue;
    double phiNow = event[i].phi();
    double pTnow  = event[i].pT();
    int iEtaNow   = max(1, min( nEta, 1 + int(nEta * 0.5
      * (1. + etaNow / etaMax) ) ) );
    int iPhiNow   = max(1, min( nPhi, 1 + int(nPhi * 0.5
      * (1. + phiNow / M_PI) ) ) );
    int iCell     = nPhi * iEtaNow + iPhiNow;

    // Add pT to cell already hit or book a new cell.
    bool found = false;
    for (int j = 0; j < int(cells.size()); ++j) {
      if (iCell == cells[j].iCell) {
        found = true;
        ++cells[j].multiplicity;
        cells[j].eTcell += pTnow;
        continue;
      }
    }
    if (!found) {
      double etaCell = (etaMax / nEta) * (2 * iEtaNow - 1 - nEta);
      double phiCell = (M_PI / nPhi) * (2 * iPhiNow - 1 - nPhi);
      cells.push_back( SingleCell( iCell, etaCell, phiCell, pTnow, 1) );
    }
  }

  // Smear true bin content by calorimeter resolution.
  if (smear > 0 && rndmPtr != 0)
  for (int j = 0; j < int(cells.size()); ++j) {
    double eTeConv = (smear < 2) ? 1. : cosh( cells[j].etaCell );
    double eBef = cells[j].eTcell * eTeConv;
    double eAft = 0.;
    do eAft = eBef + resolution * sqrt(eBef) * rndmPtr->gauss();
    while (eAft < 0 || eAft > upperCut * eBef);
    cells[j].eTcell = eAft / eTeConv;
  }

  // Remove cells below threshold for seed or for use at all.
  for (int j = 0; j < int(cells.size()); ++j) {
    if (cells[j].eTcell < eTseed)    cells[j].canBeSeed = false;
    if (cells[j].eTcell < threshold) cells[j].isUsed    = true;
  }

  // Find seed cell: the one with highest pT of not yet probed ones.
  for ( ; ; ) {
    int jMax = 0;
    double eTmax = 0.;
    for (int j = 0; j < int(cells.size()); ++j)
    if (cells[j].canBeSeed && cells[j].eTcell > eTmax) {
      jMax = j;
      eTmax = cells[j].eTcell;
    }

    // If too small cell eT then done, else start new trial jet.
    if (eTmax < eTseed) break;
    double etaCenterNow = cells[jMax].etaCell;
    double phiCenterNow = cells[jMax].phiCell;
    double eTjetNow     = 0.;

    //  Sum up unused cells within required distance of seed.
    for (int j = 0; j < int(cells.size()); ++j) {
      if (cells[j].isUsed) continue;
      double dEta = abs( cells[j].etaCell - etaCenterNow );
      if (dEta > coneRadius) continue;
      double dPhi = abs( cells[j].phiCell - phiCenterNow );
      if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
      if (dPhi > coneRadius) continue;
      if (pow2(dEta) + pow2(dPhi) > pow2(coneRadius)) continue;
      cells[j].isAssigned = true;
      eTjetNow += cells[j].eTcell;
    }

    // Reject cluster below minimum ET.
    if (eTjetNow < eTjetMin) {
      cells[jMax].canBeSeed = false;
      for (int j = 0; j < int(cells.size()); ++j)
        cells[j].isAssigned = false;

    // Else find new jet properties.
    } else {
      double etaWeightedNow = 0.;
      double phiWeightedNow = 0.;
      int multiplicityNow   = 0;
      Vec4 pMassiveNow;
      for (int j = 0; j < int(cells.size()); ++j)
      if (cells[j].isAssigned) {
        cells[j].canBeSeed  = false;
        cells[j].isUsed     = true;
        cells[j].isAssigned = false;
        etaWeightedNow += cells[j].eTcell * cells[j].etaCell;
        double phiCell = cells[j].phiCell;
        if (abs(phiCell - phiCenterNow) > M_PI)
          phiCell += (phiCenterNow > 0.) ? 2. * M_PI : -2. * M_PI;
        phiWeightedNow  += cells[j].eTcell * phiCell;
        multiplicityNow += cells[j].multiplicity;
        pMassiveNow     += cells[j].eTcell * Vec4(
           cos(cells[j].phiCell),  sin(cells[j].phiCell),
          sinh(cells[j].etaCell), cosh(cells[j].etaCell) );
      }
      etaWeightedNow /= eTjetNow;
      phiWeightedNow /= eTjetNow;

      // Bookkeep new jet, in decreasing ET order.
      jets.push_back( SingleCellJet( eTjetNow, etaCenterNow, phiCenterNow,
        etaWeightedNow, phiWeightedNow, multiplicityNow, pMassiveNow) );
      for (int i = int(jets.size()) - 1; i > 0; --i) {
        if (jets[i-1].eTjet > jets[i].eTjet) break;
        swap( jets[i-1], jets[i]);
      }
    }
  }

  // Done.
  return true;
}

//--------------------------------------------------------------------------

// Provide a listing of the info.
  
void CellJet::list(ostream& os) const {

  // Header.
  os << "\n --------  PYTHIA CellJet Listing, eTjetMin = "
     << fixed << setprecision(3) << setw(8) << eTjetMin
     << ", coneRadius = " << setw(5) << coneRadius
     << "  ------------------------------ \n \n  no    "
     << " eTjet  etaCtr  phiCtr   etaWt   phiWt mult      p_x"
     << "        p_y        p_z         e          m \n";

  // The jets.
  for (int i = 0; i < int(jets.size()); ++i) {
    os << setw(4) << i << setw(10) << jets[i].eTjet << setw(8)
       << jets[i].etaCenter << setw(8) << jets[i].phiCenter << setw(8)
       << jets[i].etaWeighted << setw(8) << jets[i].phiWeighted
       << setw(5) << jets[i].multiplicity << setw(11)
       << jets[i].pMassive.px() << setw(11) << jets[i].pMassive.py()
       << setw(11) << jets[i].pMassive.pz() << setw(11)
       << jets[i].pMassive.e() << setw(11)
       << jets[i].pMassive.mCalc() << "\n";
  }

  // Listing finished.
  os << "\n --------  End PYTHIA CellJet Listing  ------------------"
     << "-------------------------------------------------"
     << endl;
}

//==========================================================================

// SlowJet class.
// This class performs clustering in (y, phi, pT) space.

//--------------------------------------------------------------------------
 
// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Minimum number of particles to perform study.
const int    SlowJet::TIMESTOPRINT = 1;

// Assume the pi+- mass for all particles, except the photon, in one option.
const double SlowJet::PIMASS       = 0.13957;

// Small number to avoid division by zero.
const double SlowJet::TINY         = 1e-20;

//--------------------------------------------------------------------------
 
// Set up list of particles to analyze, and initial distances.

bool SlowJet::setup(const Event& event) {

  // Initial values zero.
  clusters.resize(0);
  jets.resize(0);
  jtSize = 0;

  // Loop over final particles in the event.
  Vec4   pTemp;
  double mTemp, pT2Temp, mTTemp, yTemp, phiTemp;
  for (int i = 0; i < event.size(); ++i)
  if (event[i].isFinal()) {

    // Always apply selection options for visible or charged particles.
    if      (chargedOnly &&  event[i].isNeutral() ) continue;
    else if (visibleOnly && !event[i].isVisible() ) continue;

    // Normally use built-in selection machinery.
    if (noHook) {

      // Pseudorapidity cut to describe detector range.
      if (cutInEta    && abs(event[i].eta()) > etaMax) continue;
     
      // Optionally modify mass and energy.
      pTemp = event[i].p();
      mTemp = event[i].m();
      if (modifyMass) {
        mTemp = (massSet == 0 || event[i].id() == 22) ? 0. : PIMASS;
        pTemp.e( sqrt(pTemp.pAbs2() + mTemp*mTemp) );
      }
    
    // Alternatively pass info to SlowJetHook for decision.
    // User can also modify pTemp and mTemp.
    } else {
      pTemp = event[i].p();
      mTemp = event[i].m();
      if ( !sjHookPtr->include( i, event, pTemp, mTemp) ) continue;
    }

    // Store particle momentum, including some derived quantities.
    pT2Temp  = max( TINY*TINY, pTemp.pT2());
    mTTemp  = sqrt( mTemp*mTemp + pT2Temp);
    yTemp   = (pTemp.pz() > 0)
            ? log( max( TINY, pTemp.e() + pTemp.pz() ) / mTTemp )
            : log( mTTemp / max( TINY, pTemp.e() - pTemp.pz() ) );
    phiTemp = pTemp.phi();
    clusters.push_back( SingleSlowJet(pTemp, pT2Temp, yTemp, phiTemp, i) );
  }
  origSize = clusters.size();

  // Done here for FJcore machinery.
  if (useFJcore) return true;

  // Resize arrays to store distances between clusters.
  clSize = origSize;
  clLast = clSize - 1;
  diB.resize(clSize);
  dij.resize(clSize * (clSize - 1) / 2);

  // Loop through particles and find distance to beams.
  for (int i = 0; i < clSize; ++i) {
    if (isAnti)    diB[i] = 1. / clusters[i].pT2;
    else if (isKT) diB[i] = clusters[i].pT2;
    else           diB[i] = 1.;

    // Loop through pairs and find relative distance.
    for (int j = 0; j < i; ++j) {
      dPhi = abs( clusters[i].phi - clusters[j].phi );
      if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
      dijTemp = (useStandardR)
              ? (pow2( clusters[i].y - clusters[j].y) + dPhi*dPhi) / R2
         : 2. * (cosh( clusters[i].y - clusters[j].y) - cos(dPhi)) / R2 ;
      if (isAnti)    dijTemp /= max(clusters[i].pT2, clusters[j].pT2);
      else if (isKT) dijTemp *= min(clusters[i].pT2, clusters[j].pT2);
      dij[i*(i-1)/2 + j] = dijTemp;

    // End of original-particle loops.
    }
  }

  // Find first particle pair to join.
  findNext();

  // Done.
  return true;

}

//--------------------------------------------------------------------------
 
// Do one recombination step, possibly giving a jet.

bool SlowJet::doStep() {

  // Fail if using FJcore or if no possibility to take a step.
  if (useFJcore) return false;
  if (clSize == 0) return false;

  // When distance to beam is smallest the cluster is promoted to jet.
  if (jMin == -1) {

    // Store new jet if its pT is above pTMin.
    if (clusters[iMin].pT2 > pT2jetMin) {
      jets.push_back( SingleSlowJet(clusters[iMin]) );
      ++jtSize;

      // Order jets in decreasing pT.
      for (int i = jtSize - 1; i > 0; --i) {
        if (jets[i].pT2 < jets[i-1].pT2) break;
        swap( jets[i], jets[i-1]);
      }
    }
  }

  // When distance between two clusters is smallest they are joined.
  else {

    // Add iMin cluster to jMin.
    clusters[jMin].p  += clusters[iMin].p;
    clusters[jMin].pT2 = max( TINY*TINY, clusters[jMin].p.pT2());
    double mTTemp  = sqrt(clusters[jMin].p.m2Calc() + clusters[jMin].pT2);
    clusters[jMin].y = (clusters[jMin].p.pz() > 0)
      ? log( max( TINY, clusters[jMin].p.e() + clusters[jMin].p.pz() )
      / mTTemp ) : log( mTTemp
      / max( TINY, clusters[jMin].p.e() - clusters[jMin].p.pz() ) );
    clusters[jMin].phi = clusters[jMin].p.phi();
    clusters[jMin].mult += clusters[iMin].mult;
    clusters[jMin].idx.insert(clusters[iMin].idx.begin(),
                              clusters[iMin].idx.end());

    // Update distances for and to new jMin.
    if (isAnti)    diB[jMin] = 1. / clusters[jMin].pT2;
    else if (isKT) diB[jMin] = clusters[jMin].pT2;
    else           diB[jMin] = 1.;
    for (int i = 0; i < clSize; ++i) if (i != jMin && i != iMin) {
      dPhi = abs( clusters[i].phi - clusters[jMin].phi );
      if (dPhi > M_PI) dPhi = 2. * M_PI - dPhi;
      dijTemp = (useStandardR)
              ? (pow2( clusters[i].y - clusters[jMin].y) + dPhi*dPhi) / R2
         : 2. * (cosh( clusters[i].y - clusters[jMin].y) - cos(dPhi)) / R2 ;
      if (isAnti)    dijTemp /= max(clusters[i].pT2, clusters[jMin].pT2);
      else if (isKT) dijTemp *= min(clusters[i].pT2, clusters[jMin].pT2);
      if (i < jMin) dij[jMin*(jMin-1)/2 + i] = dijTemp;
      else          dij[i*(i-1)/2 + jMin]    = dijTemp;
    }
  }

  // Move up last cluster and distances to vacated position iMin.
  if (iMin < clLast) {
    clusters[iMin] = clusters[clLast];
    diB[iMin] = diB[clLast];
    for (int j = 0; j < iMin; ++j)
      dij[iMin*(iMin-1)/2 + j] = dij[clLast*(clLast-1)/2 + j];
    for (int j = iMin + 1; j < clLast; ++j)
      dij[j*(j-1)/2 + iMin] = dij[clLast*(clLast-1)/2 + j];
  }
    
  // Shrink cluster list by one.
  clusters.pop_back();
  --clSize;
  --clLast;

  // Find next cluster pair to join.
  findNext();

  // Done.
  return true;

}

//--------------------------------------------------------------------------

// Provide a listing of the info.
  
void SlowJet::list(bool listAll, ostream& os) const {

  // Header.
  if (useFJcore) os << "\n --  PYTHIA SlowJet(fjcore) Listing, p = ";
  else           os << "\n --  PYTHIA SlowJet(native) Listing, p = ";
  os << setw(2) << power << ", R = " << fixed << setprecision(3) << setw(5)
     << R << ", pTjetMin =" << setw(8) << pTjetMin << ", etaMax = "
     << setw(6) << etaMax << "  -- \n \n   no      pTjet      y       phi"
     << "   mult      p_x        p_y        p_z         e          m \n";

  // The jets.
  for (int i = 0; i < jtSize; ++i) {
    os << setw(5) << i << setw(11) << sqrt(jets[i].pT2) << setw(9)
       << jets[i].y << setw(9) << jets[i].phi << setw(6)
       << jets[i].mult << setw(11) << jets[i].p.px() << setw(11)
       << jets[i].p.py() << setw(11) << jets[i].p.pz() << setw(11)
       << jets[i].p.e() << setw(11) << jets[i].p.mCalc() << "\n";
  }

  // Optionally list also clusters not yet jets.
  if (listAll && clSize > 0) {
    os << " --------  Below this line follows remaining clusters,"
       << " still pT-unordered  -------------------\n";
    for (int i = 0; i < clSize; ++i) {
      os << setw(5) << i + jtSize << setw(11) << sqrt(clusters[i].pT2)
         << setw(9) << clusters[i].y << setw(9) << clusters[i].phi
         << setw(6) << clusters[i].mult << setw(11) << clusters[i].p.px()
         << setw(11) << clusters[i].p.py() << setw(11) << clusters[i].p.pz()
         << setw(11) << clusters[i].p.e() << setw(11)
         << clusters[i].p.mCalc() << "\n";
    }
  }

  // Listing finished.
  os << "\n --------  End PYTHIA SlowJet Listing  ------------------"
     << "--------------------------------------" << endl;

}

//--------------------------------------------------------------------------

// Find next cluster pair to join.
  
void SlowJet::findNext() {

  // Find smallest of diB, dij.
  if (clSize > 0) {
    iMin =  0;
    jMin = -1;
    dMin = diB[0];
    for (int i = 1; i < clSize; ++i) {
      if (diB[i] < dMin) {
        iMin = i;
        jMin = -1;
        dMin = diB[i];
      }
      for (int j = 0; j < i; ++j) {
        if (dij[i*(i-1)/2 + j] < dMin) {
          iMin = i;
          jMin = j;
          dMin = dij[i*(i-1)/2 + j];
        }
      }
    }

  // If no clusters left then instead default values.
  } else {
    iMin = -1;
    jMin = -1;
    dMin = 0.;
  }

}

//--------------------------------------------------------------------------
  
// Use FJcore interface to perform clustering.
  
bool SlowJet::clusterFJ() {

  // Read in input configuration of particles.
  vector inFJ;
  for (int i = 0; i < int(clusters.size()); ++i) {
    inFJ.push_back( fjcore::PseudoJet( clusters[i].p.px(),
      clusters[i].p.py(),  clusters[i].p.pz(),  clusters[i].p.e() ) );
    set::iterator idxTmp = clusters[i].idx.begin();
    inFJ[i].set_user_index( *idxTmp);
  }

  // Create a jet definition = jet algorithm + radius parameter.
  fjcore::JetAlgorithm  jetAlg = fjcore::cambridge_algorithm;
  if (isAnti)           jetAlg = fjcore::antikt_algorithm;
  if (isKT)             jetAlg = fjcore::kt_algorithm;
  fjcore::JetDefinition jetDef( jetAlg, R);

  // Run the jet clustering with the above jet definition.
  fjcore::ClusterSequence clust_seq( inFJ, jetDef);

  // Get the resulting jets above pTmin, ordered in pT.
  vector outFJ
    = sorted_by_pt( clust_seq.inclusive_jets( pTjetMin) );

  // Store the FJcore output in the standard SlowJet format.
  Vec4   pTemp;
  double pT2Temp, yTemp, phiTemp;
  for (int i = 0; i < int(outFJ.size()); ++i) {
    pTemp = Vec4( outFJ[i].px(), outFJ[i].py(), outFJ[i].pz(), outFJ[i].e() );
    pT2Temp = outFJ[i].pt2();
    yTemp   = outFJ[i].rap();
    phiTemp = outFJ[i].phi_std();
    jets.push_back( SingleSlowJet(pTemp, pT2Temp, yTemp, phiTemp, 0) );

    // Also find constituents of jet.
    jets[i].idx.clear();
    vector constFJ = outFJ[i].constituents();
    for (int j = 0; j < int(constFJ.size()); ++j)
      jets[i].idx.insert( constFJ[j].user_index() );
    jets[i].mult = constFJ.size();
  }

  // Set counters and some dummy (for FJcore) information.
  clSize = 0;
  clLast = 0;
  jtSize = outFJ.size();
  iMin   = -1;
  jMin   = -1;
  dMin   = 0.;

  // Done.
  return true;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SigmaSUSY.cc0000644000175000017500000027236412357054765015255 0ustar  sunsun// SigmaSUSY.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// supersymmetry simulation classes.

#include "Pythia8/SigmaSUSY.h"

namespace Pythia8 {
  
//==========================================================================

// Sigma2SUSY
// An intermediate class for SUSY 2 -> 2 with nontrivial decay angles.

//--------------------------------------------------------------------------

double Sigma2SUSY::weightDecay( Event& process, int iResBeg, int iResEnd) {

  // Do nothing if decays present already at input.

  // Identity of mother of decaying resonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For Higgs decay hand over to standard routine.
  if (idMother == 25 || idMother == 35 || idMother == 36)
    return weightHiggsDecay( process, iResBeg, iResEnd);

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // For Neutralino(i) decay hand over to standard routine.
  if ( settingsPtr->flag("SUSYResonance:3BodyMatrixElement")
    && (idMother == 1000023 || idMother == 1000025 || idMother == 1000035) ) {

    // Nj -> Ni f fbar
    if (iResEnd - iResBeg != 2) return(1.0);
    int iW1  = iResBeg;
    int iF   = iResBeg + 1;
    int iFbar= iResBeg + 2;
    int iT   = process[iW1].mother1();
    if( iT <= 0 ) return(1.0);
    int idDau= process[iW1].idAbs();

    // Neutralino decays to charginos not yet implemented
    if (idDau == 1000024 || idDau == 1000037 ) return(1.0);
    if (idDau != 1000022 && idDau != 1000023 && idDau != 1000025
      && idDau != 1000035 ) {
      return(1.0);
    } else {
      if( process[iF].idAbs() != process[iFbar].idAbs() ) return(1.0);
      int idmo = -1; int iddau = -1;
      switch (idMother) {
        case 1000023: idmo = 2; break;
        case 1000025: idmo = 3; break;
        case 1000035: idmo = 4; break;
      }
      switch (idDau) {
        case 1000022: iddau = 1; break;
        case 1000023: iddau = 2; break;
        case 1000025: iddau = 3; break;
      }
      if( idmo<0 || iddau<0 ) return(1.0);
      
      Sigma2qqbar2chi0chi0 localDecay(idmo,iddau,0);
      localDecay.init(infoPtr, settingsPtr, particleDataPtr,NULL,NULL,
                      NULL,couplingsPtr);
      localDecay.initProc();
      localDecay.alpEM = 1;
      localDecay.id1 = process[iF].id();
      localDecay.id2 = process[iFbar].id();
      double xm3 = process[iT].m();
      double xm4 = process[iW1].m();
      localDecay.m3 = xm3;
      localDecay.m4 = xm4;
      localDecay.s3 = xm3*xm3;
      localDecay.s4 = xm4*xm4;
      localDecay.sH = (process[iF].p()+process[iFbar].p()).m2Calc();
      localDecay.sH2 = pow2(localDecay.sH);
      localDecay.tH = (process[iF].p()-process[iT].p()).m2Calc();
      localDecay.uH = localDecay.s3+localDecay.s4-localDecay.tH-localDecay.sH;
      localDecay.sigmaKin();
      double wt = -localDecay.sigmaHat();
      // Estimate maximum weight by sampling kinematic extremes
      // Case I:  neutralino(i) at rest
      localDecay.sH = pow2(xm4-xm3);
      localDecay.tH = 0.5*(localDecay.s3+localDecay.s4-localDecay.sH);
      localDecay.uH = localDecay.tH;
      localDecay.sigmaKin();
      double wtmax = -localDecay.sigmaHat();
      // Case II:  fermion at rest
      localDecay.sH = 0;
      localDecay.tH = localDecay.s3;
      localDecay.uH = localDecay.s3+localDecay.s4-localDecay.tH-localDecay.sH;
      localDecay.sigmaKin();
      wtmax += -localDecay.sigmaHat();
      // Case III: antifermion at rest
      localDecay.uH = localDecay.s3;
      localDecay.tH = localDecay.s3+localDecay.s4-localDecay.tH-localDecay.sH;
      localDecay.sigmaKin();
      wtmax += -localDecay.sigmaHat();
      return(wt/wtmax);
    }
  }
  
  // Else done.
  return 1.;

}
  
//==========================================================================

// Sigma2qqbar2chi0chi0
// Cross section for gaugino pair production: neutralino pair

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2chi0chi0::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Construct name of process.
  nameSave = "q qbar' -> " + particleDataPtr->name(id3) + " "
    + particleDataPtr->name(id4);

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3, id4);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2chi0chi0::sigmaKin() {

  // Common flavour-independent factor.
  sigma0 = M_PI /3.0/ sH2 / pow2(coupSUSYPtr->sin2W) * pow2(alpEM)
    * openFracPair;

  // Auxiliary factors for use below
  ui       = uH - s3;
  uj       = uH - s4;
  ti       = tH - s3;
  tj       = tH - s4;
  double sV= sH - pow2(coupSUSYPtr->mZpole);
  double d = pow2(sV) + pow2(coupSUSYPtr->mZpole * coupSUSYPtr->wZpole);
  propZ    = complex( sV / d, coupSUSYPtr->mZpole * coupSUSYPtr->wZpole / d);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2chi0chi0::sigmaHat() {

  // Only allow quark-antiquark incoming states
  if (id1*id2 >= 0) {
    return 0.0;
  }
  
  // Only allow incoming states with sum(charge) = 0
  if ((id1+id2) % 2 != 0) {
    return 0.0;
  }

  if(id1<0) swapTU = true;
  
  // Shorthands
  int idAbs1    = abs(id1);
  int idAbs2    = abs(id2);

  // Flavour-dependent kinematics-dependent couplings.
  complex QuLL(0.0),QtLL(0.0),QuRR(0.0),QtRR(0.0);
  complex QuLR(0.0),QtLR(0.0),QuRL(0.0),QtRL(0.0);

  double *LqqZloc;
  double *RqqZloc;
 
  int iAdd=0;

  if( idAbs1 > 10 && idAbs1 < 17 ) {
    LqqZloc = coupSUSYPtr->LllZ;
    RqqZloc = coupSUSYPtr->RllZ;
    iAdd+=10;
  } else {
    LqqZloc = coupSUSYPtr->LqqZ;
    RqqZloc = coupSUSYPtr->RqqZ;
  }

  // s-channel Z couplings
  if (idAbs1 == idAbs2) {
    QuLL = LqqZloc[idAbs1-iAdd] * coupSUSYPtr->OLpp[id3chi][id4chi]
         * propZ / 2.0;
    QtLL = LqqZloc[idAbs1-iAdd] * coupSUSYPtr->ORpp[id3chi][id4chi]
         * propZ / 2.0;
    QuRR = RqqZloc[idAbs1-iAdd] * coupSUSYPtr->ORpp[id3chi][id4chi]
         * propZ / 2.0;
    QtRR = RqqZloc[idAbs1-iAdd] * coupSUSYPtr->OLpp[id3chi][id4chi]
         * propZ / 2.0;
  }

  // Flavour indices
  int ifl1 = (idAbs1+1-iAdd) / 2;
  int ifl2 = (idAbs2+1-iAdd) / 2;

  complex (*LsddXloc)[4][6];
  complex (*RsddXloc)[4][6];
  complex (*LsuuXloc)[4][6];
  complex (*RsuuXloc)[4][6];
  if( idAbs1 > 10 && idAbs1 < 17 ) {
    LsddXloc = coupSUSYPtr->LsllX;
    RsddXloc = coupSUSYPtr->RsllX;
    LsuuXloc = coupSUSYPtr->LsvvX;
    RsuuXloc = coupSUSYPtr->RsvvX;
  } else {
    LsddXloc = coupSUSYPtr->LsddX;
    RsddXloc = coupSUSYPtr->RsddX;
    LsuuXloc = coupSUSYPtr->LsuuX;
    RsuuXloc = coupSUSYPtr->RsuuX;
  }

  // Add t-channel squark flavour sums to QmXY couplings
  for (int ksq=1; ksq<=6; ksq++) {

    // squark id and squark-subtracted u and t

    int idsq;
    idsq=((ksq+2)/3)*1000000 + 2*((ksq-1) % 3) + (idAbs1+1) % 2 + 1;
    idsq+=iAdd;

    double msq2    = pow(particleDataPtr->m0(idsq),2);
    double usq     = uH - msq2;
    double tsq     = tH - msq2;
    
    complex Lsqq1X3;
    complex Lsqq1X4;
    complex Lsqq2X3;
    complex Lsqq2X4;
    complex Rsqq1X3;
    complex Rsqq1X4;
    complex Rsqq2X3;
    complex Rsqq2X4;

    // Couplings
    Lsqq1X3 = LsuuXloc[ksq][ifl1][id3chi];
    Lsqq1X4 = LsuuXloc[ksq][ifl1][id4chi];
    Lsqq2X3 = LsuuXloc[ksq][ifl2][id3chi];
    Lsqq2X4 = LsuuXloc[ksq][ifl2][id4chi];
    Rsqq1X3 = RsuuXloc[ksq][ifl1][id3chi];
    Rsqq1X4 = RsuuXloc[ksq][ifl1][id4chi];
    Rsqq2X3 = RsuuXloc[ksq][ifl2][id3chi];
    Rsqq2X4 = RsuuXloc[ksq][ifl2][id4chi];
    if (idAbs1 % 2 != 0) {
      Lsqq1X3 = LsddXloc[ksq][ifl1][id3chi];
      Lsqq1X4 = LsddXloc[ksq][ifl1][id4chi];
      Lsqq2X3 = LsddXloc[ksq][ifl2][id3chi];
      Lsqq2X4 = LsddXloc[ksq][ifl2][id4chi];
      Rsqq1X3 = RsddXloc[ksq][ifl1][id3chi];
      Rsqq1X4 = RsddXloc[ksq][ifl1][id4chi];
      Rsqq2X3 = RsddXloc[ksq][ifl2][id3chi];
      Rsqq2X4 = RsddXloc[ksq][ifl2][id4chi];
    }

    // QuXY
    QuLL += conj(Lsqq1X4)*Lsqq2X3/usq;
    QuRR += conj(Rsqq1X4)*Rsqq2X3/usq;
    QuLR += conj(Lsqq1X4)*Rsqq2X3/usq;
    QuRL += conj(Rsqq1X4)*Lsqq2X3/usq;

    // QtXY
    QtLL -= conj(Lsqq1X3)*Lsqq2X4/tsq;
    QtRR -= conj(Rsqq1X3)*Rsqq2X4/tsq;
    QtLR += conj(Lsqq1X3)*Rsqq2X4/tsq;
    QtRL += conj(Rsqq1X3)*Lsqq2X4/tsq;

  }

  // Overall factor multiplying each coupling; multiplied at the end as fac^2
  double fac = (1.0-coupSUSYPtr->sin2W);
  if(abs(id3)==abs(id4)) fac *= sqrt(2.); // for identical final particles

  // Compute matrix element weight
  double weight = 0;
  double facLR = uH*tH - s3*s4;
  double facMS = m3*m4*sH;

  // Average over separate helicity contributions
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += norm(QuLL) * ui * uj + norm(QtLL) * ti * tj
    + 2 * real(conj(QuLL) * QtLL) * facMS;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += norm(QtRR) * ti * tj + norm(QuRR) * ui * uj
    + 2 * real(conj(QuRR) * QtRR) * facMS;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += norm(QuRL) * ui * uj + norm(QtRL) * ti * tj
    + real(conj(QuRL) * QtRL) * facLR;
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += norm(QuLR) * ui * uj + norm(QtLR) * ti * tj
    + real(conj(QuLR) * QtLR) * facLR;

  double colorFactor = ( idAbs1 > 10 && idAbs1 < 17 ) ? 3.0 : 1.0;

  // Cross section, including colour factor.
  double sigma = sigma0 * weight / pow2(fac) * colorFactor;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2chi0chi0::setIdColAcol() {

  // Set flavours.
  setId( id1, id2, id3, id4);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2charchi0
// Cross section for gaugino pair production: neutralino-chargino

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2charchi0::sigmaKin() {

  // Common flavour-independent factor.
  
  sigma0 = M_PI / sH2 / 3.0 / pow2(coupSUSYPtr->sin2W) * pow2(alpEM) ;
  sigma0 /= 2.0 * (1 - coupSUSYPtr->sin2W) ;

  // Auxiliary factors for use below
  ui        = uH - s3;
  uj        = uH - s4;
  ti        = tH - s3;
  tj        = tH - s4;
  double sW = sH - pow2(coupSUSYPtr->mWpole);
  double d  = pow2(sW) + pow2(coupSUSYPtr->mWpole * coupSUSYPtr->wWpole);
  propW     = complex( sW / d, coupSUSYPtr->mWpole * coupSUSYPtr->wWpole / d);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2charchi0::sigmaHat() {

  // Only allow particle-antiparticle incoming states
  if (id1*id2 >= 0) {
    return 0.0;
  }
  
  // Only allow incoming states with sum(charge) = final state
  if (abs(id1) % 2 == abs(id2) % 2) return 0.0;
  int isPos  = (id3chi > 0 ? 1 : 0);
  if (id1 < 0 && id1 > -19 && abs(id1) % 2 == 1-isPos ) return 0.0;
  else if (id1 > 0 && id1 < 19 && abs(id1) % 2 == isPos ) return 0.0;

  // Flavour-dependent kinematics-dependent couplings.
  int idAbs1  = abs(id1);
  int iChar = abs(id3chi);
  int iNeut = abs(id4chi);
  
  complex QuLL(0.0),QtLL(0.0),QuRR(0.0),QtRR(0.0);
  complex QuLR(0.0),QtLR(0.0),QuRL(0.0),QtRL(0.0);
  
  // Calculate everything from udbar -> ~chi+ ~chi0 template process
  int iAdd=0;
  complex (*LudWloc)[4];
  complex (*LsddXloc)[4][6];
  complex (*RsddXloc)[4][6];
  complex (*LsuuXloc)[4][6];
  complex (*RsuuXloc)[4][6];
  complex (*LsduXloc)[4][3];
  complex (*RsduXloc)[4][3];
  complex (*LsudXloc)[4][3];
  complex (*RsudXloc)[4][3];
  if( idAbs1 > 10 && idAbs1 < 17 ) {
    iAdd+=10;
    LudWloc  = coupSUSYPtr->LlvW;
    LsddXloc = coupSUSYPtr->LsllX;
    RsddXloc = coupSUSYPtr->RsllX;
    LsuuXloc = coupSUSYPtr->LsvvX;
    RsuuXloc = coupSUSYPtr->RsvvX;
    LsduXloc = coupSUSYPtr->LslvX;
    RsduXloc = coupSUSYPtr->RslvX;
    LsudXloc = coupSUSYPtr->LsvlX;
    RsudXloc = coupSUSYPtr->RsvlX;
  } else {
    LudWloc  = coupSUSYPtr->LudW;
    LsddXloc = coupSUSYPtr->LsddX;
    RsddXloc = coupSUSYPtr->RsddX;
    LsuuXloc = coupSUSYPtr->LsuuX;
    RsuuXloc = coupSUSYPtr->RsuuX;
    LsduXloc = coupSUSYPtr->LsduX;
    RsduXloc = coupSUSYPtr->RsduX;
    LsudXloc = coupSUSYPtr->LsudX;
    RsudXloc = coupSUSYPtr->RsudX;
  }

  // u dbar , ubar d : do nothing
  // dbar u , d ubar : swap 1<->2 and t<->u
  int iGu = (abs(id1)-iAdd)/2;
  int iGd = (abs(id2)+1-iAdd)/2;
  if (idAbs1 % 2 != 0) {
    swapTU = true;
    iGu = (abs(id2)-iAdd)/2;
    iGd = (abs(id1)+1-iAdd)/2;
  }

  // s-channel W contribution
  QuLL = conj(LudWloc[iGu][iGd])
    * conj(coupSUSYPtr->OL[iNeut][iChar])
    * propW / sqrt(2.0);
  QtLL = conj(LudWloc[iGu][iGd])
    * conj(coupSUSYPtr->OR[iNeut][iChar])
    * propW / sqrt(2.0);

  // Add t-channel squark flavour sums to QmXY couplings
  for (int jsq=1; jsq<=6; jsq++) {

    int idsu=((jsq+2)/3)*1000000 + 2*((jsq-1) % 3) + 2 +iAdd;
    int idsd=((jsq+2)/3)*1000000 + 2*((jsq-1) % 3) + 1 +iAdd;
    double msd2 = pow(particleDataPtr->m0(idsd),2);
    double msu2 = pow(particleDataPtr->m0(idsu),2);
    double tsq  = tH - msd2;
    double usq  = uH - msu2;

    QuLL += conj(LsuuXloc[jsq][iGu][iNeut])
      * conj(LsudXloc[jsq][iGd][iChar])/usq;
    QuLR += conj(LsuuXloc[jsq][iGu][iNeut])
      * conj(RsudXloc[jsq][iGd][iChar])/usq;
    QuRR += conj(RsuuXloc[jsq][iGu][iNeut])
      * conj(RsudXloc[jsq][iGd][iChar])/usq;
    QuRL += conj(RsuuXloc[jsq][iGu][iNeut])
      * conj(LsudXloc[jsq][iGd][iChar])/usq;

    QtLL -= conj(LsduXloc[jsq][iGu][iChar])
      * LsddXloc[jsq][iGd][iNeut]/tsq;
    QtRR -= conj(RsduXloc[jsq][iGu][iChar])
      * RsddXloc[jsq][iGd][iNeut]/tsq;
    QtLR += conj(LsduXloc[jsq][iGu][iChar])
      * RsddXloc[jsq][iGd][iNeut]/tsq;
    QtRL += conj(RsduXloc[jsq][iGu][iChar])
      * LsddXloc[jsq][iGd][iNeut]/tsq;
  }

  // Compute matrix element weight
  double weight = 0;

  // Average over separate helicity contributions
  // (if swapped, swap ha, hb if computing polarized cross sections)
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += norm(QuLL) * ui * uj + norm(QtLL) * ti * tj
    + 2 * real(conj(QuLL) * QtLL) * m3 * m4 * sH;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += norm(QtRR) * ti * tj + norm(QuRR) * ui * uj
    + 2 * real(conj(QuRR) * QtRR) * m3 * m4 * sH;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += norm(QuRL) * ui * uj + norm(QtRL) * ti * tj
    + real(conj(QuRL) * QtRL) * (uH * tH - s3 * s4);
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += norm(QuLR) * ui * uj + norm(QtLR) * ti * tj
    + real(conj(QuLR) * QtLR) * (uH * tH - s3 * s4);

  double colorFactor = ( idAbs1 > 10 && idAbs1 < 17 ) ? 3.0 : 1.0;

  // Cross section, including colour factor.
  double sigma = sigma0 * weight * colorFactor;

  // Answer.
  return sigma;

}

//==========================================================================

// Sigma2qqbar2charchar
// Cross section for gaugino pair production: chargino-chargino

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2charchar::sigmaKin() {

  // Common flavour-independent factor.
  sigma0 = M_PI / 3.0 / sH2 / pow2(coupSUSYPtr->sin2W) * pow2(alpEM) ;

  // Auxiliary factors for use below
  ui       = uH - s3;
  uj       = uH - s4;
  ti       = tH - s3;
  tj       = tH - s4;
  double sV= sH - pow2(coupSUSYPtr->mZpole);
  double d = pow2(sV) + pow2(coupSUSYPtr->mZpole * coupSUSYPtr->wZpole);
  propZ    = complex( sV / d, coupSUSYPtr->mZpole * coupSUSYPtr->wZpole / d);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2charchar::sigmaHat() {

  // Only allow quark-antiquark incoming states
  if (id1*id2 >= 0) return 0.0;
  
  // Only allow incoming states with sum(charge) = 0
  if ((id1+id2) % 2 != 0) return 0.0;
  
  //if (id1 > 0 || id1==-1 || id1==-3 || id1==-5) return 0.0;
  //if (id1 < 0 || id1==1 || id1==3 || id1==5) return 0.0;
  
  swapTU = (id1 < 0 ? true : false);

  // Flavour-dependent kinematics-dependent couplings.
  int idAbs1    = abs(id1);
  int idAbs2    = abs(id2);
  int i3        = abs(id3chi);
  int i4        = abs(id4chi);
  
  // Flavour-dependent kinematics-dependent couplings.
  complex QuLL(0.0),QtLL(0.0),QuRR(0.0),QtRR(0.0);
  complex QuLR(0.0),QtLR(0.0),QuRL(0.0),QtRL(0.0);

  double *LqqZloc;
  double *RqqZloc;
  complex (*LsduXloc)[4][3];
  complex (*RsduXloc)[4][3];
  complex (*LsudXloc)[4][3];
  complex (*RsudXloc)[4][3];
 
  int iShift(0);
  if( idAbs1 > 10 && idAbs1 < 17 ) {
    iShift+=10;
    LqqZloc = coupSUSYPtr->LllZ;
    RqqZloc = coupSUSYPtr->RllZ;
    LsduXloc = coupSUSYPtr->LslvX;
    RsduXloc = coupSUSYPtr->RslvX;
    LsudXloc = coupSUSYPtr->LsvlX;
    RsudXloc = coupSUSYPtr->RsvlX;
  } else {
    LqqZloc = coupSUSYPtr->LqqZ;
    RqqZloc = coupSUSYPtr->RqqZ;
    LsduXloc = coupSUSYPtr->LsduX;
    RsduXloc = coupSUSYPtr->RsduX;
    LsudXloc = coupSUSYPtr->LsudX;
    RsudXloc = coupSUSYPtr->RsudX;
  }

  // Add Z/gamma* for same-flavour in-quarks
  if (idAbs1 == idAbs2) {
    
    QuLL = -LqqZloc[idAbs1-iShift]*conj(coupSUSYPtr->ORp[i3][i4]);
    QtLL = -LqqZloc[idAbs1-iShift]*conj(coupSUSYPtr->OLp[i3][i4]);
    QuRR = -RqqZloc[idAbs1-iShift]*conj(coupSUSYPtr->OLp[i3][i4]);
    QtRR = -RqqZloc[idAbs1-iShift]*conj(coupSUSYPtr->ORp[i3][i4]);

    QuLL *= propZ / 2.0 / (1.0-coupSUSYPtr->sin2W);
    QtLL *= propZ / 2.0 / (1.0-coupSUSYPtr->sin2W);
    QuRR *= propZ / 2.0 / (1.0-coupSUSYPtr->sin2W);
    QtRR *= propZ / 2.0 / (1.0-coupSUSYPtr->sin2W);
  
    // s-channel gamma* (only for same-type charginos)
    if (i3 == i4) {
    
      // Charge of in-particles
      double q    = particleDataPtr->chargeType(idAbs1)/3.0;
      QuLL += q * coupSUSYPtr->sin2W / sH;
      QuRR += q * coupSUSYPtr->sin2W / sH;
      QtLL += q * coupSUSYPtr->sin2W / sH;
      QtRR += q * coupSUSYPtr->sin2W / sH;
    
    }
  }

  int iG1    = (abs(id1)+1-iShift)/2;
  int iG2    = (abs(id2)+1-iShift)/2;

  // Add t- or u-channel squark flavour sums to QmXY couplings
  for (int ksq=1; ksq<=6; ksq++) {
    
    if(id1 % 2 == 0) {

      // u-channel diagrams only
      // up-type incoming; u-channel ~d
      
      int idsd    = ((ksq+2)/3)*1000000 + 2*((ksq-1) % 3) + 1;
      idsd       +=iShift;
      double msq  = particleDataPtr->m0(idsd);
      double ufac = 2.0 * (uH - pow2(msq));

      //u-ubar -> chi-chi+
      QuLL += LsduXloc[ksq][iG2][i3]
            * conj(LsduXloc[ksq][iG1][i4]) / ufac;
      QuRR += RsduXloc[ksq][iG2][i3]
            * conj(RsduXloc[ksq][iG1][i4]) / ufac;
      QuLR += RsduXloc[ksq][iG2][i3]
            * conj(LsduXloc[ksq][iG1][i4]) / ufac;
      QuRL += LsduXloc[ksq][iG2][i3]
            * conj(RsduXloc[ksq][iG1][i4]) / ufac;

    }else{
      // t-channel diagrams only;
      // down-type incoming; t-channel ~u

      int idsu    = ((ksq+2)/3)*1000000 + 2*((ksq-1) % 3) + 2;
      idsu       += iShift;
      double msq  = particleDataPtr->m0(idsu);
      double tfac = 2.0 * (tH - pow2(msq));

      //d-dbar -> chi-chi+
      QtLL -= LsudXloc[ksq][iG1][i3]
            * conj(LsudXloc[ksq][iG2][i4]) / tfac;
      QtRR -= RsudXloc[ksq][iG1][i3]
            * conj(RsudXloc[ksq][iG2][i4]) / tfac;
      QtLR += LsudXloc[ksq][iG1][i3]
            * conj(RsudXloc[ksq][iG2][i4]) / tfac;
      QtRL += RsudXloc[ksq][iG1][i3]
            * conj(LsudXloc[ksq][iG2][i4]) / tfac;

    }
  }
   // Compute matrix element weight
   double weight = 0;

  // Average over separate helicity contributions
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += norm(QuLL) * ui * uj + norm(QtLL) * ti * tj
    + 2 * real(conj(QuLL) * QtLL) * m3 * m4 * sH;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += norm(QtRR) * ti * tj + norm(QuRR) * ui * uj
    + 2 * real(conj(QuRR) * QtRR) * m3 * m4 * sH;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += norm(QuRL) * ui * uj + norm(QtRL) * ti * tj
    + real(conj(QuRL) * QtRL) * (uH * tH - s3 * s4);
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += norm(QuLR) * ui * uj + norm(QtLR) * ti * tj
    + real(conj(QuLR) * QtLR) * (uH * tH - s3 * s4);

  double colorFactor = ( idAbs1 > 10 && idAbs1 < 17 ) ? 3.0 : 1.0;

  // Cross section, including colour factor.
  double sigma = sigma0 * weight * colorFactor;

  // Answer.
  return sigma;

}

//==========================================================================

// Sigma2qgchi0squark
// Cross section for gaugino-squark production: neutralino-squark

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2chi0squark::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Construct name of process.
  if (id4 % 2 == 0) {
    nameSave = "q g -> " + particleDataPtr->name(id3) + " "
      + particleDataPtr->name(id4) + " + c.c. (q=u,c)";
  }
  else {
    nameSave = "q g -> " + particleDataPtr->name(id3) + " "
      + particleDataPtr->name(id4) + " + c.c. (q=d,s,b)";
  }

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3, id4);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qg2chi0squark::sigmaKin() {

  // Common flavour-independent factor.
  // tmp: alphaS = 0.1 for counter-checks
  sigma0 = M_PI / sH2 / coupSUSYPtr->sin2W * alpEM * alpS
    * openFracPair;

  // Auxiliary factors for use below
  ui       = uH - s3;
  uj       = uH - s4;
  ti       = tH - s3;
  tj       = tH - s4;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qg2chi0squark::sigmaHat() {

  // Antiquark -> antisquark
  int idq = id1;
  if (id1 == 21 || id1 == 22) idq = id2;
  if (idq < 0) {
    id4 = -abs(id4);
  } else {
    id4 = abs(id4);
  }

  // tmp: only allow incoming quarks on side 1
  //  if (id1 < 0 || id1 == 21) return 0.0;

  // Generation index
  int iGq = (abs(idq)+1)/2;

  // Only accept u(bar) -> ~u(bar) and d(bar) -> ~d(bar)
  if (particleDataPtr->chargeType(idq) != particleDataPtr->chargeType(id4))
    return 0.0;
  
  // Couplings
  complex LsqqX, RsqqX;
  if (idq % 2 == 0) {
    LsqqX = coupSUSYPtr->LsuuX[id4sq][iGq][id3chi];
    RsqqX = coupSUSYPtr->RsuuX[id4sq][iGq][id3chi];
  }
  else {
    LsqqX = coupSUSYPtr->LsddX[id4sq][iGq][id3chi];
    RsqqX = coupSUSYPtr->RsddX[id4sq][iGq][id3chi];
  }

  // Prefactors : swap u and t if gq instead of qg
  double fac1, fac2;
  if (idq == id1) {
    fac1 = -ui/sH + 2.0 * ( uH*tH - s4*s3 )/sH/tj;
    fac2 = ti/tj * ( (tH + s4)/tj + (ti - uj)/sH );
  } else {
    fac1 = -ti/sH + 2.0 * ( uH*tH - s4*s3 )/sH/uj;
    fac2 = ui/uj * ( (uH + s4)/uj + (ui - tj)/sH );
  }

  // Compute matrix element weight
  double weight = 0.0;

  // Average over separate helicity contributions
  // (for qbar g : ha -> -ha )
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += fac2 * norm(LsqqX) / 2.0;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += fac2 * norm(RsqqX) / 2.0;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += fac2 * norm(RsqqX) / 2.0 + fac1 * norm(RsqqX);
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += fac2 * norm(LsqqX) / 2.0 + fac1 * norm(LsqqX);

  double sigma = sigma0 * weight;
  if (abs(idq) < 9) sigma /= 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2chi0squark::setIdColAcol() {

  // Set flavours.
  setId( id1, id2, id3, (id1*id2 > 0 ? abs(id4) : -abs(id4)));

  // Colour flow topology. Swap if first is gluon, or when antiquark.
  if (id1 != 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else setColAcol( 1, 2, 2, 0, 0, 0, 1, 0);
  if (id1*id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qg2charsquark
// Cross section for gaugino-squark production: chargino-squark

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2charsquark::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Construct name of process.
  if (id4 % 2 == 0) {
    nameSave = "q g -> " + particleDataPtr->name(id3) + " "
      + particleDataPtr->name(id4) + " + c.c. (q=d,s,b)";
  }
  else {
    nameSave = "q g -> " + particleDataPtr->name(id3) + " "
      + particleDataPtr->name(id4) + " + c.c. (q=u,c)";
  }

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3Sav, id4Sav);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qg2charsquark::sigmaHat() {

  // Antiquark -> antisquark
  int idq = (id1 == 21) ? id2 : id1;
  if (idq > 0) {
    id3 = id3Sav;
    id4 = id4Sav;
  } else {
    id3 = -id3Sav;
    id4 = -id4Sav;
  }

  // Only accept u(bar) -> ~d(bar) and d(bar) -> ~u(bar)
  if (particleDataPtr->chargeType(idq) == particleDataPtr->chargeType(id4))
    return 0.0;
  
  // Generation index
  int iGq = (abs(idq)+1)/2;

  // Couplings
  complex LsqqX, RsqqX;
  if (idq % 2 == 0) {
    LsqqX = coupSUSYPtr->LsduX[id4sq][iGq][id3chi];
    RsqqX = coupSUSYPtr->RsduX[id4sq][iGq][id3chi];
  }
  else {
    LsqqX = coupSUSYPtr->LsduX[id4sq][iGq][id3chi];
    RsqqX = coupSUSYPtr->RsduX[id4sq][iGq][id3chi];
  }

  // Prefactors : swap u and t if gq instead of qg
  double fac1, fac2;
  if (idq == id1) {
    fac1 = -ui/sH + 2.0 * ( uH*tH - s4*s3 )/sH/tj;
    fac2 = ti/tj * ( (tH + s4)/tj + (ti - uj)/sH );
  } else {
    fac1 = -ti/sH + 2.0 * ( uH*tH - s4*s3 )/sH/uj;
    fac2 = ui/uj * ( (uH + s4)/uj + (ui - tj)/sH );
  }

  // Compute matrix element weight
  double weight = 0.0;

  // Average over separate helicity contributions
  // (a, b refers to qg configuration)
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += fac2 * norm(LsqqX) / 2.0;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += fac2 * norm(RsqqX) / 2.0;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += fac2 * norm(RsqqX) / 2.0 + fac1 * norm(RsqqX);
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += fac2 * norm(LsqqX) / 2.0 + fac1 * norm(LsqqX);

  double sigma = sigma0 * weight;
  if (abs(idq) < 9) sigma /= 3.;

  // Answer.
  return sigma * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2charsquark::setIdColAcol() {

  // Set flavours.
  if (id1 > 0 && id2 > 0) {
    setId( id1, id2, id3Sav, id4Sav);
  } else {
    setId( id1, id2,-id3Sav,-id4Sav);
  }

  // Colour flow topology. Swap if first is gluon, or when antiquark.
  if (id1 != 21) setColAcol( 1, 0, 2, 1, 0, 0, 2, 0);
  else setColAcol( 1, 2, 2, 0, 0, 0, 1, 0);
  if (id1 < 0 || id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qq2squarksquark
// Cross section for squark-squark production

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qq2squarksquark::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Extract mass-ordering indices
  iGen3 = 3*(abs(id3Sav)/2000000) + (abs(id3Sav)%10+1)/2;
  iGen4 = 3*(abs(id4Sav)/2000000) + (abs(id4Sav)%10+1)/2;

  // Is this a ~u_i ~d_j fial state or ~d_i ~d_j, ~u_i ~u_j
  if (abs(id3Sav) % 2 == abs(id4Sav) % 2) isUD = false;
  else isUD = true;

  // Derive name
  nameSave = "q q' -> "+particleDataPtr->name(abs(id3Sav))+" "
    +particleDataPtr->name(abs(id4Sav))+" + c.c.";

  // Count 5 neutralinos in NMSSM
  nNeut = (coupSUSYPtr->isNMSSM ? 5 : 4);

  // Store mass squares of all possible internal propagator lines
  m2Glu     = pow2(particleDataPtr->m0(1000021));
  m2Neut.resize(nNeut+1);
  for (int iNeut=1;iNeut<=nNeut;iNeut++) {
    m2Neut[iNeut] = pow2(particleDataPtr->m0(coupSUSYPtr->idNeut(iNeut)));
  }
  m2Char.resize(3);
  m2Char[1] = pow2(particleDataPtr->m0(coupSUSYPtr->idChar(1)));
  m2Char[2] = pow2(particleDataPtr->m0(coupSUSYPtr->idChar(2)));
  
  // Set sizes of some arrays to be used below
  tNeut.resize(nNeut+1);
  uNeut.resize(nNeut+1);
  tChar.resize(3);
  uChar.resize(3);

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3Sav, id4Sav);
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qq2squarksquark::sigmaKin() {

  // Weak mixing
  double xW = coupSUSYPtr->sin2W;

  // pi/sH2
  double comFacHat = M_PI/sH2 * openFracPair;

  // Channel-dependent but flavor-independent pre-factors
  sigmaNeut     = comFacHat * pow2(alpEM) / pow2(xW) / pow2(1-xW);
  sigmaGlu      = comFacHat * 2.0 * pow2(alpS) / 9.0;
  if (isUD) {
    sigmaChar     = comFacHat * pow2(alpEM) / 4.0 / pow2(xW);
    sigmaCharNeut = comFacHat * pow2(alpEM) / 3.0 / pow2(xW) / (1-xW);
    sigmaCharGlu  = comFacHat * 4.0 * alpEM * alpS / 9.0 / xW;
    sigmaNeutGlu  = 0.0;
  } else {
    sigmaChar     = 0.0;
    sigmaCharNeut = 0.0;
    sigmaCharGlu  = 0.0;
    sigmaNeutGlu  = comFacHat * 8.0 * alpEM * alpS / 9.0 / xW/(1-xW);
  }

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qq2squarksquark::sigmaHat() {

  // In-pair must be same-sign
  if (id1 * id2 < 0) return 0.0;
  
  // Check correct charge sum
  if (isUD && abs(id1) %2 == abs(id2) % 2) return 0.0;
  if (!isUD && abs(id1) % 2 != abs(id2) % 2) return 0.0;
  if (!isUD && abs(id1) % 2 != abs(id3Sav) % 2) return 0.0;

  // Coded sigma is for ud -> ~q~q'. Swap t and u for du -> ~q~q'.
  swapTU = (isUD && abs(id1) % 2 == 0);
  int    idIn1A = (swapTU) ? abs(id2) : abs(id1);
  int    idIn2A = (swapTU) ? abs(id1) : abs(id2);

  // Auxiliary factors for use below
  tGlu     = tH - m2Glu;
  uGlu     = uH - m2Glu;
  for (int i=1; i<= nNeut; i++) {
    tNeut[i] = tH - m2Neut[i];
    uNeut[i] = uH - m2Neut[i];
    if (isUD && i <= 2) {
      tChar[i] = tH - m2Char[i];
      uChar[i] = uH - m2Char[i];
    }
  }

  // Generation indices of incoming particles
  int iGen1 = (abs(idIn1A)+1)/2;
  int iGen2 = (abs(idIn2A)+1)/2;

  // Initial values for pieces used for color-flow selection below
  sumCt = 0.0;
  sumCu = 0.0;
  sumNt = 0.0;
  sumNu = 0.0;
  sumGt = 0.0;
  sumGu = 0.0;
  sumInterference = 0.0;

  // Common factor for LR and RL contributions
  double facTU =  uH*tH-s3*s4;

  // Case A) Opposite-isospin: qq' -> ~d~u
  if ( isUD ) {

    // t-channel Charginos
    for (int k=1;k<=2;k++) {

      // Skip if only including gluinos
      if (settingsPtr->flag("SUSY:qq2squarksquark:onlyQCD")) continue;
      
      for (int l=1;l<=2;l++) {

        // kl-dependent factor for LL and RR contributions
        double facMS = sH*sqrt(m2Char[k]*m2Char[l]);

        // Note: Ckl defined as in [Boz07] with sigmaChar factored out
        // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
        complex Ckl[3][3];
        Ckl[1][1] = facMS
          * coupSUSYPtr->LsudX[iGen4][iGen2][k]
          * conj(coupSUSYPtr->LsduX[iGen3][iGen1][k])
          * conj(coupSUSYPtr->LsudX[iGen4][iGen2][l])
          * coupSUSYPtr->LsduX[iGen3][iGen1][l];
        Ckl[1][2] = facTU
          * coupSUSYPtr->RsudX[iGen4][iGen2][k]
          * conj(coupSUSYPtr->LsduX[iGen3][iGen1][k])
          * conj(coupSUSYPtr->RsudX[iGen4][iGen2][l])
          * coupSUSYPtr->LsduX[iGen3][iGen1][l];
        Ckl[2][1] = facTU
          * coupSUSYPtr->LsudX[iGen4][iGen2][k]
          * conj(coupSUSYPtr->RsduX[iGen3][iGen1][k])
          * conj(coupSUSYPtr->LsudX[iGen4][iGen2][l])
          * coupSUSYPtr->RsduX[iGen3][iGen1][l];
        Ckl[2][2] = facMS
          * coupSUSYPtr->RsudX[iGen4][iGen2][k]
          * conj(coupSUSYPtr->RsduX[iGen3][iGen1][k])
          * conj(coupSUSYPtr->RsudX[iGen4][iGen2][l])
          * coupSUSYPtr->RsduX[iGen3][iGen1][l];

        // Add to sum of t-channel charginos
        sumCt += sigmaChar * real(Ckl[1][1] + Ckl[1][2] + Ckl[2][1]
               + Ckl[2][2]) / tChar[k] / tChar[l];

      }
    }
    
    // u-channel Neutralinos
    for (int k=1;k<=nNeut;k++) {

      // Skip if only including gluinos
      if (settingsPtr->flag("SUSY:qq2squarksquark:onlyQCD")) continue;
      
      for (int l=1;l<=nNeut;l++) {

        // kl-dependent factor for LL, RR contributions
        double facMS = sH*sqrt(m2Neut[k]*m2Neut[l]);

        // Note: Nkl defined as in [Boz07] with sigmaNeut factored out
        // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
        complex Nkl[3][3];
        Nkl[1][1] = facMS
          * conj(coupSUSYPtr->LsuuX[iGen4][iGen1][k])
          * conj(coupSUSYPtr->LsddX[iGen3][iGen2][k])
          * coupSUSYPtr->LsuuX[iGen4][iGen1][l]
          * coupSUSYPtr->LsddX[iGen3][iGen2][l];
        Nkl[1][2] = facTU
          * conj(coupSUSYPtr->LsuuX[iGen4][iGen1][k])
          * conj(coupSUSYPtr->RsddX[iGen3][iGen2][k])
          * coupSUSYPtr->LsuuX[iGen4][iGen1][l]
          * coupSUSYPtr->RsddX[iGen3][iGen2][l];
        Nkl[2][1] =  facTU
          * conj(coupSUSYPtr->RsuuX[iGen4][iGen1][k])
          * conj(coupSUSYPtr->LsddX[iGen3][iGen2][k])
          * coupSUSYPtr->RsuuX[iGen4][iGen1][l]
          * coupSUSYPtr->LsddX[iGen3][iGen2][l];
        Nkl[2][2] =  facMS
          * conj(coupSUSYPtr->RsuuX[iGen4][iGen1][k])
          * conj(coupSUSYPtr->RsddX[iGen3][iGen2][k])
          * coupSUSYPtr->RsuuX[iGen4][iGen1][l]
          * coupSUSYPtr->RsddX[iGen3][iGen2][l];

        // Add to sum of u-channel neutralinos
        sumNu += sigmaNeut / uNeut[k] / uNeut[l]
          * real(Nkl[1][1] + Nkl[1][2] + Nkl[2][1] + Nkl[2][2]);
                
      }
    }

    // u-channel gluino
    // Note: Gij defined as in [Boz07] with sigmaGlu factored out
    // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
    double Gij[3][3];
    Gij[1][1] = norm(coupSUSYPtr->LsuuG[iGen4][iGen1]
                * coupSUSYPtr->LsddG[iGen3][iGen2]);
    Gij[1][2] = norm(coupSUSYPtr->LsuuG[iGen4][iGen1]
                * coupSUSYPtr->RsddG[iGen3][iGen2]);
    Gij[2][1] = norm(coupSUSYPtr->RsuuG[iGen4][iGen1]
                * coupSUSYPtr->LsddG[iGen3][iGen2]);
    Gij[2][2] = norm(coupSUSYPtr->RsuuG[iGen4][iGen1]
                * coupSUSYPtr->RsddG[iGen3][iGen2]);
    Gij[1][1] *= sH*m2Glu;
    Gij[1][2] *= facTU;
    Gij[2][1] *= facTU;
    Gij[2][2] *= sH*m2Glu;
    // Sum over polarizations
    sumGu += sigmaGlu * (Gij[1][1] + Gij[1][2] + Gij[2][1] + Gij[2][2])
      / pow2(uGlu);

    // chargino-neutralino interference
    for (int k=1;k<=2;k++) {
      for (int l=1;l<=nNeut;l++) {

        // Skip if only including gluinos
        if (settingsPtr->flag("SUSY:qq2squarksquark:onlyQCD")) continue;

        // Note: CNkl defined as in [Boz07] with pi/sH2 factored out
        // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
        double CNkl[3][3];
        CNkl[1][1] = real(coupSUSYPtr->LsudX[iGen4][iGen2][k]
                          * conj(coupSUSYPtr->LsduX[iGen3][iGen1][k])
                          * coupSUSYPtr->LsuuX[iGen4][iGen1][l]
                          * coupSUSYPtr->LsddX[iGen3][iGen2][l]);
        CNkl[1][2] = real(coupSUSYPtr->RsudX[iGen4][iGen2][k]
                          * conj(coupSUSYPtr->LsduX[iGen3][iGen1][k])
                          * coupSUSYPtr->LsuuX[iGen4][iGen1][l]
                          * coupSUSYPtr->RsddX[iGen3][iGen2][l]);
        CNkl[2][1] = real(coupSUSYPtr->LsudX[iGen4][iGen2][k]
                          * conj(coupSUSYPtr->RsduX[iGen3][iGen1][k])
                          * coupSUSYPtr->RsuuX[iGen4][iGen1][l]
                          * coupSUSYPtr->LsddX[iGen3][iGen2][l]);
        CNkl[2][2] = real(coupSUSYPtr->RsudX[iGen4][iGen2][k]
                          * conj(coupSUSYPtr->RsduX[iGen3][iGen1][k])
                          * coupSUSYPtr->RsuuX[iGen4][iGen1][l]
                          * coupSUSYPtr->RsddX[iGen3][iGen2][l]);
        CNkl[1][1] *= sH*sqrt(m2Char[k]*m2Neut[l]);
        CNkl[1][2] *= uH*tH-s3*s4;
        CNkl[2][1] *= uH*tH-s3*s4;
        CNkl[2][2] *= sH*sqrt(m2Char[k]*m2Neut[l]);
        // Sum over polarizations
        sumInterference += sigmaCharNeut * (CNkl[1][1] + CNkl[1][2]
                         + CNkl[2][1] + CNkl[2][2]) / tChar[k] / uNeut[l];
      }
    }

    // chargino-gluino interference
    for (int k=1;k<=2;k++) {

      // Skip if only including gluinos
      if (settingsPtr->flag("SUSY:qq2squarksquark:onlyQCD")) continue;
        
      // Note: CGk defined as in [Boz07] with sigmaCharGlu factored out
      // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
      double CGk[3][3];
      CGk[1][1] = real(coupSUSYPtr->LsudX[iGen4][iGen2][k]
                       * conj(coupSUSYPtr->LsduX[iGen3][iGen1][k])
                       * conj(coupSUSYPtr->LsuuG[iGen4][iGen1])
                       * conj(coupSUSYPtr->LsddG[iGen3][iGen2]));
      CGk[1][2] = real(coupSUSYPtr->RsudX[iGen4][iGen2][k]
                       * conj(coupSUSYPtr->LsduX[iGen3][iGen1][k])
                       * conj(coupSUSYPtr->LsuuG[iGen4][iGen1])
                       * conj(coupSUSYPtr->RsddG[iGen3][iGen2]));
      CGk[2][1] = real(coupSUSYPtr->LsudX[iGen4][iGen2][k]
                       * conj(coupSUSYPtr->RsduX[iGen3][iGen1][k])
                       * conj(coupSUSYPtr->RsuuG[iGen4][iGen1])
                       * conj(coupSUSYPtr->LsddG[iGen3][iGen2]));
      CGk[2][2] = real(coupSUSYPtr->RsudX[iGen4][iGen2][k]
                       * conj(coupSUSYPtr->RsduX[iGen3][iGen1][k])
                       * conj(coupSUSYPtr->RsuuG[iGen4][iGen1])
                       * conj(coupSUSYPtr->RsddG[iGen3][iGen2]));
      CGk[1][1] *= sH*sqrt(m2Glu*m2Char[k]);
      CGk[1][2] *= uH*tH-s3*s4;
      CGk[2][1] *= uH*tH-s3*s4;
      CGk[2][2] *= sH*sqrt(m2Glu*m2Char[k]);
      // Sum over polarizations
      sumInterference += sigmaGlu * (CGk[1][1] + CGk[1][2] + CGk[2][1]
        + CGk[2][2]) / uGlu / tChar[k];
    }
  }

  // Case B) Same-isospin: qq' -> ~d~d , ~u~u
  else {

    // t-channel + u-channel Neutralinos + t/u interference
    for (int k=1;k<=nNeut;k++) {

      // Skip if only including gluinos
      if (settingsPtr->flag("SUSY:qq2squarksquark:onlyQCD")) continue;

      for (int l=1;l<=nNeut;l++) {

        // kl-dependent factor for LL and RR contributions
        double facMS = sH * particleDataPtr->m0(coupSUSYPtr->idNeut(k))
          * particleDataPtr->m0(coupSUSYPtr->idNeut(l));

        // Note: Nxkl defined as in [Boz07] with sigmaNeut factored out
        // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
        complex NTkl[3][3], NUkl[3][3], NTUkl[3][3];
        NTkl[1][1] = facMS
          * conj(coupSUSYPtr->getLsqqX(iGen4,idIn2A,k))
          * conj(coupSUSYPtr->getLsqqX(iGen3,idIn1A,k))
          * coupSUSYPtr->getLsqqX(iGen4,idIn2A,l)
          * coupSUSYPtr->getLsqqX(iGen3,idIn1A,l);
        NTkl[1][2] = facTU
          * conj(coupSUSYPtr->getRsqqX(iGen4,idIn2A,k))
          * conj(coupSUSYPtr->getLsqqX(iGen3,idIn1A,k))
          * coupSUSYPtr->getRsqqX(iGen4,idIn2A,l)
          * coupSUSYPtr->getLsqqX(iGen3,idIn1A,l);
        NTkl[2][1] = facTU
          * conj(coupSUSYPtr->getLsqqX(iGen4,idIn2A,k))
          * conj(coupSUSYPtr->getRsqqX(iGen3,idIn1A,k))
          * coupSUSYPtr->getLsqqX(iGen4,idIn2A,l)
          * coupSUSYPtr->getRsqqX(iGen3,idIn1A,l);
        NTkl[2][2] = facMS
          * conj(coupSUSYPtr->getRsqqX(iGen4,idIn2A,k))
          * conj(coupSUSYPtr->getRsqqX(iGen3,idIn1A,k))
          * coupSUSYPtr->getRsqqX(iGen4,idIn2A,l)
          * coupSUSYPtr->getRsqqX(iGen3,idIn1A,l);
        NUkl[1][1] = facMS
          * conj(coupSUSYPtr->getLsqqX(iGen3,idIn2A,k))
          * conj(coupSUSYPtr->getLsqqX(iGen4,idIn1A,k))
          * coupSUSYPtr->getLsqqX(iGen3,idIn2A,l)
          * coupSUSYPtr->getLsqqX(iGen4,idIn1A,l);
        NUkl[1][2] = facTU
          * conj(coupSUSYPtr->getRsqqX(iGen3,idIn2A,k))
          * conj(coupSUSYPtr->getLsqqX(iGen4,idIn1A,k))
          * coupSUSYPtr->getRsqqX(iGen3,idIn2A,l)
          * coupSUSYPtr->getLsqqX(iGen4,idIn1A,l);
        NUkl[2][1] = facTU
          * conj(coupSUSYPtr->getLsqqX(iGen3,idIn2A,k))
          * conj(coupSUSYPtr->getRsqqX(iGen4,idIn1A,k))
          * coupSUSYPtr->getLsqqX(iGen3,idIn2A,l)
          * coupSUSYPtr->getRsqqX(iGen4,idIn1A,l);
        NUkl[2][2] = facMS
          * conj(coupSUSYPtr->getRsqqX(iGen3,idIn2A,k))
          * conj(coupSUSYPtr->getRsqqX(iGen4,idIn1A,k))
          * coupSUSYPtr->getRsqqX(iGen3,idIn2A,l)
          * coupSUSYPtr->getRsqqX(iGen4,idIn1A,l);
        NTUkl[1][1] = facMS
          * real( conj(coupSUSYPtr->getLsqqX(iGen4,idIn2A,k))
                  * conj(coupSUSYPtr->getLsqqX(iGen3,idIn1A,k))
                  * coupSUSYPtr->getLsqqX(iGen3,idIn2A,l)
                  * coupSUSYPtr->getLsqqX(iGen4,idIn1A,l) );
        NTUkl[1][2] = facTU
          * real( conj(coupSUSYPtr->getRsqqX(iGen4,idIn2A,k))
                  * conj(coupSUSYPtr->getLsqqX(iGen3,idIn1A,k))
                  * coupSUSYPtr->getRsqqX(iGen3,idIn2A,l)
                  * coupSUSYPtr->getLsqqX(iGen4,idIn1A,l) );
        NTUkl[2][1] = facTU
          * real( conj(coupSUSYPtr->getLsqqX(iGen4,idIn2A,k))
                  * conj(coupSUSYPtr->getRsqqX(iGen3,idIn1A,k))
                  * coupSUSYPtr->getLsqqX(iGen3,idIn2A,l)
                  * coupSUSYPtr->getRsqqX(iGen4,idIn1A,l) );
        NTUkl[2][2] = facMS
          * real( conj(coupSUSYPtr->getRsqqX(iGen4,idIn2A,k))
                  * conj(coupSUSYPtr->getRsqqX(iGen3,idIn1A,k))
                  * coupSUSYPtr->getRsqqX(iGen3,idIn2A,l)
                  * coupSUSYPtr->getRsqqX(iGen4,idIn1A,l) );
          
        // Add to sums
        sumNt += sigmaNeut / tNeut[k] / tNeut[l]
          * real(NTkl[1][1] + NTkl[1][2] + NTkl[2][1] + NTkl[2][2]);
        sumNu += sigmaNeut / uNeut[k] / uNeut[l]
          * real(NUkl[1][1] + NUkl[1][2] + NUkl[2][1] + NUkl[2][2]);
        sumInterference += 2.0 / 3.0 * sigmaNeut
          * real(NTUkl[1][1] + NTUkl[1][2] + NTUkl[2][1] + NTUkl[2][2])
          / tNeut[k] / uNeut[l];
      }

      // Neutralino / Gluino interference

      // k-dependent factor for LL and RR contributions
      double facMS = sH * particleDataPtr->m0(coupSUSYPtr->idNeut(k))
        * particleDataPtr->m0(1000021);
      
      // Note: Nxkl defined as in [Boz07] with sigmaNeutGlu factored out
      // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
      complex NGA[3][3], NGB[3][3];
      NGA[1][1] = facMS
        * real( conj(coupSUSYPtr->getLsqqX(iGen4,idIn2A,k))
                * conj(coupSUSYPtr->getLsqqX(iGen3,idIn1A,k))
                * conj(coupSUSYPtr->getLsqqG(iGen3,idIn2A))
                * conj(coupSUSYPtr->getLsqqG(iGen4,idIn1A)) );
      NGA[1][2] = facTU
        * real( conj(coupSUSYPtr->getRsqqX(iGen4,idIn2A,k))
                * conj(coupSUSYPtr->getLsqqX(iGen3,idIn1A,k))
                * conj(coupSUSYPtr->getLsqqG(iGen3,idIn2A))
                * conj(coupSUSYPtr->getRsqqG(iGen4,idIn1A)) );
      NGA[2][1] = facTU
        * real( conj(coupSUSYPtr->getLsqqX(iGen4,idIn2A,k))
                * conj(coupSUSYPtr->getRsqqX(iGen3,idIn1A,k))
                * conj(coupSUSYPtr->getRsqqG(iGen3,idIn2A))
                * conj(coupSUSYPtr->getLsqqG(iGen4,idIn1A)) );
      NGA[2][2] = facMS
        * real( conj(coupSUSYPtr->getRsqqX(iGen4,idIn2A,k))
                * conj(coupSUSYPtr->getRsqqX(iGen3,idIn1A,k))
                * conj(coupSUSYPtr->getRsqqG(iGen3,idIn2A))
                * conj(coupSUSYPtr->getRsqqG(iGen4,idIn1A)) );
      NGB[1][1] = facMS
        * real( conj(coupSUSYPtr->getLsqqX(iGen3,idIn2A,k))
                * conj(coupSUSYPtr->getLsqqX(iGen4,idIn1A,k))
                * conj(coupSUSYPtr->getLsqqG(iGen4,idIn2A))
                * conj(coupSUSYPtr->getLsqqG(iGen3,idIn1A)) );
      NGB[1][2] = facMS
        * real( conj(coupSUSYPtr->getRsqqX(iGen3,idIn2A,k))
                * conj(coupSUSYPtr->getLsqqX(iGen4,idIn1A,k))
                * conj(coupSUSYPtr->getRsqqG(iGen4,idIn2A))
                * conj(coupSUSYPtr->getLsqqG(iGen3,idIn1A)) );
      NGB[2][1] = facMS
        * real( conj(coupSUSYPtr->getLsqqX(iGen3,idIn2A,k))
                * conj(coupSUSYPtr->getRsqqX(iGen4,idIn1A,k))
                * conj(coupSUSYPtr->getLsqqG(iGen4,idIn2A))
                * conj(coupSUSYPtr->getRsqqG(iGen3,idIn1A)) );
      NGB[2][2] = facMS
        * real( conj(coupSUSYPtr->getRsqqX(iGen3,idIn2A,k))
                * conj(coupSUSYPtr->getRsqqX(iGen4,idIn1A,k))
                * conj(coupSUSYPtr->getRsqqG(iGen4,idIn2A))
                * conj(coupSUSYPtr->getRsqqG(iGen3,idIn1A)) );

      // Add to sums
      sumInterference += sigmaNeutGlu *
        ( real(NGA[1][1] + NGA[1][2] + NGA[2][1] + NGA[2][2])
        / tNeut[k] / uGlu
        + real(NGB[1][1] + NGB[1][2] + NGB[2][1] + NGB[2][2])
        / uNeut[k] / tGlu );
    }
    
    // t-channel + u-channel Gluinos + t/u interference

    // factor for LL and RR contributions
    double facMS = sH * m2Glu;

    // Note: GT, GU defined as in [Boz07] with sigmaGlu factored out
    // [1][1] = LL, [1][2] = LR, [2][1] = RL, [2][2] = RR
    complex GT[3][3], GU[3][3], GTU[3][3];
    GT[1][1] = facMS
      * norm(coupSUSYPtr->getLsqqG(iGen4,idIn2A)
      * coupSUSYPtr->getLsqqG(iGen3,idIn1A));
    GT[1][2] = facTU
      * norm(coupSUSYPtr->getRsqqG(iGen4,idIn2A)
      * coupSUSYPtr->getLsqqG(iGen3,idIn1A));
    GT[2][1] = facTU
      * norm(coupSUSYPtr->getLsqqG(iGen4,idIn2A)
      * coupSUSYPtr->getRsqqG(iGen3,idIn1A));
    GT[2][2] = facMS
      * norm(coupSUSYPtr->getRsqqG(iGen4,idIn2A)
      * coupSUSYPtr->getRsqqG(iGen3,idIn1A));
    GU[1][1] = facMS
      * norm(coupSUSYPtr->getLsqqG(iGen3,idIn2A)
      * coupSUSYPtr->getLsqqG(iGen4,idIn1A));
    GU[1][2] = facTU
      * norm(coupSUSYPtr->getLsqqG(iGen3,idIn2A)
      * coupSUSYPtr->getRsqqG(iGen4,idIn1A));
    GU[2][1] = facTU
      * norm(coupSUSYPtr->getRsqqG(iGen3,idIn2A)
      * coupSUSYPtr->getLsqqG(iGen4,idIn1A));
    GU[2][2] = facMS
      * norm(coupSUSYPtr->getRsqqG(iGen3,idIn2A)
      * coupSUSYPtr->getRsqqG(iGen4,idIn1A));

    GTU[1][1] = facMS
      * real(coupSUSYPtr->getLsqqG(iGen3,idIn1A)
             * coupSUSYPtr->getLsqqG(iGen4,idIn2A)
             * conj(coupSUSYPtr->getLsqqG(iGen3,idIn2A))
             * conj(coupSUSYPtr->getLsqqG(iGen4,idIn1A)) );

    GTU[1][2] = facTU
      * real(coupSUSYPtr->getLsqqG(iGen3,idIn1A)
             * coupSUSYPtr->getRsqqG(iGen4,idIn2A)
             * conj(coupSUSYPtr->getRsqqG(iGen3,idIn2A))
             * conj(coupSUSYPtr->getLsqqG(iGen4,idIn1A)) );

    GTU[2][1] = facTU
      * real(coupSUSYPtr->getRsqqG(iGen3,idIn1A)
             * coupSUSYPtr->getLsqqG(iGen4,idIn2A)
             * conj(coupSUSYPtr->getLsqqG(iGen3,idIn2A))
             * conj(coupSUSYPtr->getRsqqG(iGen4,idIn1A)) );

    GTU[2][2] = facMS
      * real(coupSUSYPtr->getRsqqG(iGen3,idIn1A)
             * coupSUSYPtr->getRsqqG(iGen4,idIn2A)
             * conj(coupSUSYPtr->getRsqqG(iGen3,idIn2A))
             * conj(coupSUSYPtr->getRsqqG(iGen4,idIn1A)) );
 
    // Add to sums
    sumGt += sigmaGlu * real(GT[1][1] + GT[1][2] + GT[2][1] + GT[2][2])
      / pow2(tGlu) ;
    sumGu += sigmaGlu * real(GU[1][1] + GU[1][2] + GU[2][1] + GU[2][2])
      / pow2(uGlu) ;
    sumInterference += - 2.0 / 3.0 * sigmaGlu
      * real(GTU[1][1] + GTU[1][2] + GTU[2][1] + GTU[2][2])
      / tGlu / uGlu;

  }

  // Cross section
  double sigma = sumNt + sumNu + sumCt + sumCu + sumGt + sumGu
    + sumInterference;

  // Identical particles?
  if (id3Sav == id4Sav) sigma /= 2.0;

  // Return answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qq2squarksquark::setIdColAcol() {

  // Set flavours.
  if (id1 > 0 && id2 > 0) {
    setId( id1, id2, id3Sav, id4Sav);
  } else {
    // 1,2 -> -3,-4
    setId( id1, id2,-id3Sav,-id4Sav);
  }

  // Coded sigma is for ud -> ~q~q'. Swap t and u for du -> ~q~q'.
  swapTU = (isUD && abs(id1) % 2 == 0);

  // Select colour flow topology
  // Recompute contributions to this particular in- out- flavour combination
  sigmaHat();
  // A: t-channel neutralino, t-channel chargino, or u-channel gluino
  double sumA  = sumNt + sumCt + sumGu;
  double sumAB = sumNt + sumNu + sumCt + sumCu + sumGt + sumGu;
  if (swapTU) sumA = sumAB - sumA;
  setColAcol( 1, 0, 2, 0, 1, 0, 2, 0);
  // B: t-channel gluino or u-channel neutralino
  if (rndmPtr->flat()*sumAB > sumA) setColAcol( 1, 0, 2, 0, 2, 0, 1, 0);

  // Switch to anti-colors if antiquarks
  if (id1 < 0 || id2 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2squarkantisquark
// Cross section for qqbar-initiated squark-antisquark production

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2squarkantisquark::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Is this a ~u_i ~d*_j, ~d_i ~u*_j final state or ~d_i ~d*_j, ~u_i ~u*_j
  if (abs(id3Sav) % 2 == abs(id4Sav) % 2) isUD = false;
  else isUD = true;

  // Extract isospin and mass-ordering indices
  if(isUD && abs(id3Sav)%2 == 1){
    iGen3 = 3*(abs(id4Sav)/2000000) + (abs(id3Sav)%10+1)/2;
    iGen4 = 3*(abs(id3Sav)/2000000) + (abs(id4Sav)%10+1)/2;
  }
  else {
    iGen3 = 3*(abs(id3Sav)/2000000) + (abs(id3Sav)%10+1)/2;
    iGen4 = 3*(abs(id4Sav)/2000000) + (abs(id4Sav)%10+1)/2;
  }

  // Derive name
  nameSave = "q qbar' -> "+particleDataPtr->name(abs(id3Sav))+" "+
    particleDataPtr->name(-abs(id4Sav));
  if (isUD && abs(id3Sav) != abs(id4Sav)) nameSave +=" + c.c.";

  // Count 5 neutralinos in NMSSM
  nNeut = (coupSUSYPtr->isNMSSM ? 5 : 4);

  // Store mass squares of all possible internal propagator lines
  m2Glu     = pow2(particleDataPtr->m0(1000021));
  m2Neut.resize(nNeut+1);
  for (int iNeut=1;iNeut<=nNeut;iNeut++)
    m2Neut[iNeut] = pow2(particleDataPtr->m0(coupSUSYPtr->idNeut(iNeut)));
  
  // Set sizes of some arrays to be used below
  tNeut.resize(nNeut+1);
  uNeut.resize(nNeut+1);

  // Shorthand for Weak mixing
  xW = coupSUSYPtr->sin2W;

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3Sav, id4Sav);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2squarkantisquark::sigmaKin() {

  // Z/W propagator
  if (! isUD) {
    double sV= sH - pow2(coupSUSYPtr->mZpole);
    double d = pow2(sV) + pow2(coupSUSYPtr->mZpole * coupSUSYPtr->wZpole);
    propZW   = complex( sV / d, coupSUSYPtr->mZpole * coupSUSYPtr->wZpole / d);
  } else {
    double sV= sH - pow2(coupSUSYPtr->mWpole);
    double d = pow2(sV) + pow2(coupSUSYPtr->mWpole * coupSUSYPtr->wWpole);
    propZW   = complex( sV / d, coupSUSYPtr->mWpole * coupSUSYPtr->wWpole / d);
  }

  // Flavor-independent pre-factors
  double comFacHat = M_PI/sH2 * openFracPair;

  sigmaEW       = comFacHat * pow2(alpEM);
  sigmaGlu      = comFacHat * 2.0 * pow2(alpS) / 9.0;
  sigmaEWG      = comFacHat * 8.0 * alpEM * alpS / 9.0;

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2squarkantisquark::sigmaHat() {

  // In-pair must be opposite-sign
  if (id1 * id2 > 0) return 0.0;
  
  // Check correct charge sum
  if (isUD && abs(id1) %2 == abs(id2) % 2) return 0.0;
  if (!isUD && abs(id1) % 2 != abs(id2) % 2) return 0.0;

  // Check if using QCD diagrams only
  bool onlyQCD = settingsPtr->flag("SUSY:qqbar2squarkantisquark:onlyQCD");

  // Coded UD sigma is for udbar -> ~u~d'*. Swap t<->u for dbaru -> ~u~d'*.
  swapTU = (isUD && abs(id1) % 2 != 0);

  // Coded QQ sigma is for qqbar -> ~q~q*. Swap t<->u for qbarq -> ~q~q*.
  if (!isUD && id1 < 0) swapTU = true;

  // Generation indices of incoming particles
  int idIn1A = (swapTU) ? abs(id2) : abs(id1);
  int idIn2A = (swapTU) ? abs(id1) : abs(id2);
  int iGen1  = (idIn1A+1)/2;
  int iGen2  = (idIn2A+1)/2;

  // Auxiliary factors for use below
  tGlu     = tH - m2Glu;
  uGlu     = uH - m2Glu;
  for (int i=1; i<= nNeut; i++) {
    tNeut[i] = tH - m2Neut[i];
    uNeut[i] = uH - m2Neut[i];
  }

  // Initial values for pieces used for color-flow selection below
  sumColS   = 0.0;
  sumColT   = 0.0;
  sumInterference = 0.0;

  // Common factor for LR and RL contributions
  double facTU =  uH*tH-s3*s4;

  // Case A) Opposite-isospin: udbar -> ~u~d*
  if ( isUD ) {

    // s-channel W contribution (only contributes to LL helicities)
    if ( !onlyQCD ) {
      sumColS += sigmaEW / 16.0 / pow2(xW) / pow2(1.0-xW)
        * norm(conj(coupSUSYPtr->LudW[iGen1][iGen2])
               * coupSUSYPtr->LsusdW[iGen3][iGen4]) * facTU
        * norm(propZW);
    }

    // t-channel gluino contributions
    double GT[3][3];
    double facLR = m2Glu * sH;
    // LL, LR, RL, RR
    GT[1][1] = facTU * norm(conj(coupSUSYPtr->LsddG[iGen4][iGen2])
                            *coupSUSYPtr->LsuuG[iGen3][iGen1]);
    GT[1][2] = facLR * norm(conj(coupSUSYPtr->RsddG[iGen4][iGen2])
                            *coupSUSYPtr->LsuuG[iGen3][iGen1]);
    GT[2][1] = facLR * norm(conj(coupSUSYPtr->LsddG[iGen4][iGen2])
                            *coupSUSYPtr->RsuuG[iGen3][iGen1]);
    GT[2][2] = facTU * norm(conj(coupSUSYPtr->RsddG[iGen4][iGen2])
                            *coupSUSYPtr->RsuuG[iGen3][iGen1]);
    // leading color flow for t-channel gluino is annihilation-like
    sumColS += sigmaGlu / pow2(tGlu)
      * (GT[1][1] + GT[1][2] + GT[2][1] + GT[2][2]);
      
    // W-Gluino interference (only contributes to LL helicities)
    if ( !onlyQCD ) {
      sumColS += sigmaEWG / 4.0 / xW / (1-xW)
        * real(conj(coupSUSYPtr->LsuuG[iGen3][iGen1])
               * coupSUSYPtr->LsddG[iGen4][iGen2]
               * conj(coupSUSYPtr->LudW[iGen1][iGen2])
               * coupSUSYPtr->LsusdW[iGen3][iGen4]) * facTU
        / tGlu * sqrt(norm(propZW));
    }

    // t-channel neutralinos
    // NOT YET IMPLEMENTED !

  }

  // Case B) Same-isospin: qqbar -> ~d~d* , ~u~u*
  else {
    
    double eQ  = (idIn1A % 2 == 0) ? 2./3. : 1./3. ;
    double eSq = (abs(id3Sav) % 2 == 0) ? 2./3. : 1./3. ;

    // s-channel gluon (strictly flavor-diagonal)
    if (abs(id3Sav) == abs(id4Sav) && abs(id1) == abs(id2)) {
      // Factor 2 since contributes to both ha != hb helicities
      sumColT += 2. * sigmaGlu * facTU / pow2(sH);
    }

    // t-channel gluino (only for in-isospin = out-isospin).
    if (eQ == eSq) {
      // Sum over helicities.
      double GT[3][3];
      double facLR = sH * m2Glu;
      GT[1][1] = facTU * norm(coupSUSYPtr->getLsqqG(iGen3,idIn1A)
                              * conj(coupSUSYPtr->getLsqqG(iGen4,idIn2A)));
      GT[1][2] = facLR * norm(coupSUSYPtr->getLsqqG(iGen3,idIn1A)
                              * conj(coupSUSYPtr->getRsqqG(iGen4,idIn2A)));
      GT[2][1] = facLR * norm(coupSUSYPtr->getRsqqG(iGen3,idIn1A)
                              * conj(coupSUSYPtr->getLsqqG(iGen4,idIn2A)));
      GT[2][2] = facTU * norm(coupSUSYPtr->getRsqqG(iGen3,idIn1A)
                              * conj(coupSUSYPtr->getRsqqG(iGen4,idIn2A)));
      // Add contribution to color topology: S
      sumColS += sigmaGlu / pow2(tGlu)
        * ( GT[1][1] + GT[1][2] + GT[2][1] + GT[2][2]);
      
      // gluon-gluino interference (strictly flavor-diagonal)
      if (abs(id3Sav) == abs(id4Sav) && abs(id1) == abs(id2)) {
        double GG11, GG22;
        GG11 = - facTU * 2./3.
             * real( conj(coupSUSYPtr->getLsqqG(iGen3,idIn1A))
             * coupSUSYPtr->getLsqqG(iGen4,idIn2A));
        GG22 = - facTU * 2./3.
             * real( conj(coupSUSYPtr->getRsqqG(iGen3,idIn1A))
             * coupSUSYPtr->getRsqqG(iGen4,idIn2A));
        // Sum over two contributing helicities
        sumInterference += sigmaGlu / sH / tGlu
          * ( GG11 + GG22 );
      }

    }

    // Skip the rest if only including QCD diagrams
    if (onlyQCD) return sumColT+sumColS+sumInterference;

    // s-channel photon (strictly flavor-diagonal) and Z/gamma interference
    if (abs(id3Sav) == abs(id4Sav) && abs(id1) == abs(id2)) {

      // gamma
      // Factor 2 since contributes to both ha != hb helicities
      sumColS += 2. * pow2(eQ) * pow2(eSq) * sigmaEW * facTU / pow2(sH);

      // Z/gamma interference
      double CsqZ = real(coupSUSYPtr->LsusuZ[iGen3][iGen4]
                         + coupSUSYPtr->RsusuZ[iGen3][iGen4]);
      if (abs(id3Sav)%2 != 0) CsqZ = real(coupSUSYPtr->LsdsdZ[iGen3][iGen4]
                                          + coupSUSYPtr->RsdsdZ[iGen3][iGen4]);
      sumColS += eQ * eSq * sigmaEW * facTU / 2.0 / xW / (1.-xW)
        * sqrt(norm(propZW)) / sH * CsqZ
        * (coupSUSYPtr->LqqZ[idIn1A] + coupSUSYPtr->LqqZ[idIn2A]);
      
      // Gluino/gamma interference (only for same-isospin)
      if (eQ == eSq) {
        double CsqG11 = real(conj(coupSUSYPtr->LsuuG[iGen3][iGen1])
                             *coupSUSYPtr->LsuuG[iGen4][iGen2]);
        double CsqG22 = real(conj(coupSUSYPtr->RsuuG[iGen3][iGen1])
                             *coupSUSYPtr->RsuuG[iGen4][iGen2]);
        if (id3Sav%2 != 0) {
          CsqG11 = real(conj(coupSUSYPtr->LsddG[iGen3][iGen1])
                        *coupSUSYPtr->LsddG[iGen4][iGen2]);
          CsqG22 = real(conj(coupSUSYPtr->RsddG[iGen3][iGen1])
                        *coupSUSYPtr->RsddG[iGen4][iGen2]);
        }
        sumColS += eQ * eSq * sigmaEWG * facTU
          * (CsqG11 + CsqG22) / sH / tGlu;
      }
    }
    
    // s-channel Z (only for q flavor = qbar flavor)
    if (abs(id1) == abs(id2)) {
      double CsqZ = norm(coupSUSYPtr->LsusuZ[iGen3][iGen4]
                         + coupSUSYPtr->RsusuZ[iGen3][iGen4]);
      if (abs(id3Sav)%2 != 0) CsqZ = norm(coupSUSYPtr->LsdsdZ[iGen3][iGen4]
                                          + coupSUSYPtr->RsdsdZ[iGen3][iGen4]);
      sumColS += sigmaEW * facTU / 16.0 / pow2(xW) / pow2(1.0-xW)
        * norm(propZW) * CsqZ * ( pow2(coupSUSYPtr->LqqZ[idIn1A])
        + pow2(coupSUSYPtr->RqqZ[idIn1A]) );

      // Z/gluino interference (only for in-isospin = out-isospin)
      if (eQ == eSq) {
        double GZ11 = real(conj(coupSUSYPtr->getLsqqG(iGen3,idIn1A))
                           *coupSUSYPtr->getLsqqG(iGen4,idIn2A)
                           *(coupSUSYPtr->getLsqsqZ(id3Sav,id4Sav)
                             +coupSUSYPtr->getRsqsqZ(id3Sav,id4Sav)))
          *coupSUSYPtr->LqqZ[idIn1A];
        double GZ22 = real(conj(coupSUSYPtr->getRsqqG(iGen3,idIn1A))
                           *coupSUSYPtr->getRsqqG(iGen4,idIn2A)
                           *(coupSUSYPtr->getLsqsqZ(id3Sav,id4Sav)
                             +coupSUSYPtr->getRsqsqZ(id3Sav,id4Sav)))
          *coupSUSYPtr->RqqZ[idIn1A];
        sumColS += sigmaEWG * facTU / 4.0 / xW / (1.-xW)
          * ( GZ11 + GZ22 ) * sqrt(norm(propZW)) / tGlu;
      }
    }
    
    // t-channel neutralinos
    // NOT YET IMPLEMENTED !
    
  }

  // Cross section
  double sigma = sumColS + sumColT + sumInterference;

  // Return answer.
  return sigma;
  
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2squarkantisquark::setIdColAcol() {

  // Check if charge conjugate final state?
  isCC = false;
  if (isUD && ( (id1-1)%2 < 0 || (id2-1)%2 < 0 )) isCC = true;
  
  //check if charge conjugate
  id3 = (isCC) ? -id3Sav : id3Sav;
  id4 = (isCC) ? -id4Sav : id4Sav;

  // Set flavours.
  setId( id1, id2, id3, id4);

  // Coded UD sigma is for udbar -> ~u~d'*. Swap t<->u for dbaru -> ~u~d'*.
  // Coded QQ sigma is for qqbar -> ~q~q*. Swap t<->u for qbarq -> ~q~q*.
  if (isUD) {
    swapTU = (abs(id1) % 2 != 0);
  } else {
    swapTU = (id1 < 0);
  }

  // Select colour flow topology
  // Recompute individual contributions to this in-out flavour combination
  sigmaHat();
  double R = rndmPtr->flat();
  double fracS = sumColS / (sumColS + sumColT) ;
  // S: color flow as in S-channel singlet
  if (R < fracS) {
    setColAcol( 1, 0, 0, 1, 2, 0, 0, 2);
    if (swapTU) setColAcol( 0, 1, 1, 0, 2, 0, 0, 2);
  }
  // T: color flow as in T-channel singlet
  else {
    setColAcol( 1, 0, 0, 2, 1, 0, 0, 2);
    if (swapTU) setColAcol( 0, 1, 2, 0, 2, 0, 0, 1);
  }

  if (isCC) swapColAcol();

}

//==========================================================================

// Sigma2gg2squarkantisquark
// Cross section for gg-initiated squark-antisquark production

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2squarkantisquark::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Process Name
  nameSave = "g g -> "+particleDataPtr->name(abs(id3Sav))+" "
    +particleDataPtr->name(-abs(id4Sav));

  // Squark pole mass
  m2Sq = pow2(particleDataPtr->m0(id3Sav));
  
  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3Sav, id4Sav);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2gg2squarkantisquark::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  // tHSq = tHat - m_squark^2; uHSq = uHat - m_squark^2.
  //  double s34Avg = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  double tHSq    = -0.5 * (sH - tH + uH);
  double uHSq    = -0.5 * (sH + tH - uH);
  // ! (NEED TO CHECK THAT THESE APPLIED CORRECTLY BELOW)   !
  // ! (PRELIMINARY CROSS-CHECKS WITH PYTHIA 6 COME OUT OK) !

  // Helicity-independent prefactor
  double comFacHat = M_PI/sH2 * pow2(alpS) / 128.0
    * ( 24.0 * (1.0 - 2*tHSq*uHSq/sH2) - 8.0/3.0 );

  // Helicity-dependent factors
  sigma = 0.0;
  for (int ha=-1;ha<=1;ha += 2) {
    for (int hb=-1;hb<=1;hb += 2) {
      // Divide by 4 for helicity average
      sigma += comFacHat / 4.0
        * ( (1.0-ha*hb)
            - 2.0 * sH*m2Sq/tHSq/uHSq
            * ( 1.0 - ha*hb - sH*m2Sq/tHSq/uHSq));
    }
  }

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2squarkantisquark::setIdColAcol() {

  // Set flavours.
  setId( id1, id2, id3Sav, id4Sav);

  // Set color flow (random for now)
  double R = rndmPtr->flat();
  if (R < 0.5) setColAcol( 1, 2, 2, 3, 1, 0, 0, 3);
  else setColAcol( 1, 2, 3, 1, 3, 0, 0, 2);

}

//==========================================================================

// Sigma2qg2squarkgluino
// Cross section for squark-gluino production

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qg2squarkgluino::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Derive name
  nameSave = "q g -> "+particleDataPtr->name(abs(id3Sav))+" gluino + c.c.";

  // Final-state mass squares
  m2Glu     = pow2(particleDataPtr->m0(1000021));
  m2Sq      = pow2(particleDataPtr->m0(id3Sav));

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3Sav, 1000021);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qg2squarkgluino::sigmaKin() {
  
  // Common pre-factor
  comFacHat = (M_PI / sH2) * pow2(alpS) * 0.5 * openFracPair;

  // Invariants (still with Pythia 6 sign convention)
  double tGlu = m2Glu-tH;
  double uGlu = m2Glu-uH;
  double tSq  = m2Sq-tH;
  double uSq  = m2Sq-uH;

  // Color flow A: quark color annihilates with anticolor of g
  sigmaA = 0.5*4./9.* tGlu/sH + (tGlu*sH+2.*m2Glu*tSq)/pow2(tGlu) -
    ( (sH-m2Sq+m2Glu)*(-tSq)-sH*m2Glu )/sH/(-tGlu)
    + 0.5*1./2.*( tSq*(tH+2.*uH+m2Glu)-tGlu*(sH-2.*tSq)
                  + (-uGlu)*(tH+m2Glu+2.*m2Sq) )/2./tGlu/uSq;
  // Color flow B: quark and gluon colors iterchanged
  sigmaB =     4./9.*(-uGlu)*(uH+m2Sq)/pow2(uSq)
    + 1./18.* (sH*(uH+m2Glu) + 2.*(m2Sq-m2Glu)*uGlu)/sH/(-uSq)
    + 0.5*4./9.*tGlu/sH
    + 0.5*1./2.*(tSq*(tH+2.*uH+m2Glu)-tGlu*(sH-2.*tSq)
                 + (-uGlu)*(tH+m2Glu+2.*m2Sq))/2./tGlu/uSq;

}

//--------------------------------------------------------------------------

double Sigma2qg2squarkgluino::sigmaHat() {

  // Check whether right incoming flavor
  int idQA = (id1 == 21) ? id2 : id1;
  int idSq = (abs(id3) == 10000021) ? id4 : id3;

  // Check for charge conservation
  if(idQA%2 != idSq%2) return 0.0;

  int idQ = (abs(idQA)+1)/2;
  idSq = 3 * (id3Sav / 2000000) + (id3Sav % 10 + 1)/2;

  double mixingFac;
  if(abs(idQA) % 2 == 1)
    mixingFac = norm(coupSUSYPtr->LsddG[idSq][idQ])
              + norm(coupSUSYPtr->RsddG[idSq][idQ]);
  else
    mixingFac = norm(coupSUSYPtr->LsuuG[idSq][idQ])
              + norm(coupSUSYPtr->RsuuG[idSq][idQ]);

  return mixingFac * comFacHat * (sigmaA + sigmaB);
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qg2squarkgluino::setIdColAcol() {

  // Check if charge conjugate final state?
  int idQ = (id1 == 21) ? id2 : id1;
  id3 = (idQ > 0) ? id3Sav : -id3Sav;
  id4 = 1000021;
  
  // Set flavors
  setId( id1, id2, id3, id4);

  // Select color flow A or B (see above)
  // Recompute individual contributions to this in-out flavour combination
  sigmaHat();
  double R = rndmPtr->flat()*(sigmaA+sigmaB);
  if (idQ == id1) {
    setColAcol(1,0,2,1,3,0,2,3);
    if (R > sigmaA) setColAcol(1,0,2,3,2,0,1,3);
  } else {
    setColAcol(2,1,1,0,3,0,2,3);
    if (R > sigmaB) setColAcol(2,3,1,0,2,0,1,3);
  }
  if (idQ < 0) swapColAcol();

  // Use reflected kinematics if gq initial state
  if (id1 == 21) swapTU = true;

}

//==========================================================================

// Sigma2gg2gluinogluino
// Cross section for gluino pair production from gg initial states
// (validated against Pythia 6)

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2gg2gluinogluino::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(1000021, 1000021);
  
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat) - no incoming flavour dependence.

void Sigma2gg2gluinogluino::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  // tHG = tHat - m_gluino^2; uHG = uHat - m_gluino^2.
  double s34Avg = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;
  double tHG    = -0.5 * (sH - tH + uH);
  double uHG    = -0.5 * (sH + tH - uH);
  double tHG2   = tHG * tHG;
  double uHG2   = uHG * uHG;

  // Calculate kinematics dependence.
  sigTS  = (tHG * uHG - 2. * s34Avg * (tHG + 2. * s34Avg)) / tHG2
         + (tHG * uHG + s34Avg * (uHG - tHG)) / (sH * tHG);
  sigUS  = (tHG * uHG - 2. * s34Avg * (uHG + 2. * s34Avg)) / uHG2
         + (tHG * uHG + s34Avg * (tHG - uHG)) / (sH * uHG);
  sigTU  = 2. * tHG * uHG / sH2 + s34Avg * (sH - 4. * s34Avg)
         / (tHG * uHG);
  sigSum = sigTS + sigUS + sigTU;
    
  // Answer contains factor 1/2 from identical gluinos.
  sigma  = (M_PI / sH2) * pow2(alpS) * (9./4.) * 0.5 * sigSum
         * openFracPair;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2gg2gluinogluino::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, 1000021, 1000021);

  // Three colour flow topologies, each with two orientations.
  double sigRand = sigSum * rndmPtr->flat();
  if (sigRand < sigTS) setColAcol( 1, 2, 2, 3, 1, 4, 4, 3);
  else if (sigRand < sigTS + sigUS)
                       setColAcol( 1, 2, 3, 1, 3, 4, 4, 2);
  else                 setColAcol( 1, 2, 3, 4, 1, 4, 3, 2);
  if (rndmPtr->flat() > 0.5) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2gluinogluino
// Cross section for gluino pair production from qqbar initial states
// (validated against Pythia 6 for SLHA1 case)

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2gluinogluino::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(1000021, 1000021);

}

//--------------------------------------------------------------------------

// Begin evaluate d(sigmaHat)/d(tHat); flavour-independent part.

void Sigma2qqbar2gluinogluino::sigmaKin() {

  // Modified Mandelstam variables for massive kinematics with m3 = m4.
  // tHG = tHat - m_gluino^2; uHG = uHat - m_gluino^2.
  // (Note: tHG and uHG defined with opposite sign wrt Pythia 6)
  tHG    = -0.5 * (sH - tH + uH);
  uHG    = -0.5 * (sH + tH - uH);
  tHG2   = tHG * tHG;
  uHG2   = uHG * uHG;
  s34Avg = 0.5 * (s3 + s4) - 0.25 * pow2(s3 - s4) / sH;

  // s-channel gluon contribution (only used if id1 == -id2)
  //   = Qss/s^2 in  including 2N*(N^2-1)/N^2 color factor.
  sigS   = 16./3. * (tHG2 + uHG2 + 2. * s34Avg * sH) / sH2;

}

//--------------------------------------------------------------------------


// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2gluinogluino::sigmaHat() {

  // Only allow quark-antiquark incoming states
  if (id1 * id2 > 0) return 0.0;
  
  // In-pair must both be up-type or both down-type
  if ((id1+id2) % 2 != 0) return 0.0;

  // Flavor indices for the incoming quarks
  int iQA = (abs(id1)+1)/2;
  int iQB = (abs(id2)+1)/2;

  // Use up- or down-type squark-quark-gluino couplings
  complex LsqqG[7][4];
  complex RsqqG[7][4];
  for (int iSq=1; iSq<=6; ++iSq) {
    for (int iQ=1; iQ<=3; ++iQ) {
      if (abs(id1) % 2 == 1) {
        LsqqG[iSq][iQ] = coupSUSYPtr->LsddG[iSq][iQ];
        RsqqG[iSq][iQ] = coupSUSYPtr->RsddG[iSq][iQ];
      }
      else {
        LsqqG[iSq][iQ] = coupSUSYPtr->LsuuG[iSq][iQ];
        RsqqG[iSq][iQ] = coupSUSYPtr->RsuuG[iSq][iQ];
      }
    }
  }

  // sigHel contains (-1, 1), (1,-1), (-1,-1), ( 1, 1)
  // divided by 4 for helicity average
  vector sigHel;
  for (int iHel=0; iHel <4; ++iHel) sigHel.push_back(0.);

  // S-channel gluon contributions: only if id1 == -id2 (so iQA == iQB)
  if (abs(id1) == abs(id2)) {
    // S-channel squared
    sigHel[0] += sigS;
    sigHel[1] += sigS;
  }

  // T, U, and S/T/U interferences
  for (int iSq=1; iSq<=6; ++iSq) {
    int    idSq = ((iSq+2)/3)*1000000 + 2*((iSq-1)%3) + abs(id1-1) % 2 + 1;
    double mSq2 = pow2(particleDataPtr->m0(idSq));
    // Modified Mandelstam variables for massive kinematics with m3 = m4.
    // tHG = tHat - m_gluino^2; uHG = uHat - m_gluino^2.
    double tHsq = tHG + s34Avg - mSq2;
    double uHsq = uHG + s34Avg - mSq2;
    
    // ST and SU interferences: only if id1 == -id2 (so iQA == iQB)
    // incl 2N*(N^2 - 1)/N^2 color factor (note: original reference
    //  was missing a factor 2 on the color factor here.)
    if ( abs(id1) == abs(id2) ) {
      double Qst1 = 16./3. * norm(LsqqG[iSq][iQA]) * (s34Avg * sH + tHG2);
      double Qsu1 = 16./3. * norm(LsqqG[iSq][iQA]) * (s34Avg * sH + uHG2);
      double Qst2 = 16./3. * norm(RsqqG[iSq][iQA]) * (s34Avg * sH + tHG2);
      double Qsu2 = 16./3. * norm(RsqqG[iSq][iQA]) * (s34Avg * sH + uHG2);
      double sigL = (Qst1 / tHsq + Qsu1 / uHsq) / sH;
      double sigR = (Qst2 / tHsq + Qsu2 / uHsq) / sH;
      sigHel[0] += sigL;
      sigHel[1] += sigR;
    }
    
    // T, U, and TU interferences
    for (int jSq=1; jSq<=6; ++jSq) {
      int    idSqJ = ((jSq+2)/3)*1000000 + 2*((jSq-1)%3) + abs(id1-1) % 2 + 1;
      double mSqJ2 = pow2(particleDataPtr->m0(idSqJ));
      // Modified Mandelstam variables for massive kinematics with m3 = m4.
      // tHG = tHat - m_gluino^2; uHG = uHat - m_gluino^2.
      double tHsqJ = tHG + s34Avg - mSqJ2;
      double uHsqJ = uHG + s34Avg - mSqJ2;
      
      double Q11 = real(LsqqG[iSq][iQA] * conj(LsqqG[iSq][iQB])
                        * conj(LsqqG[jSq][iQA]) * LsqqG[jSq][iQB]);
      double Q12 = real(LsqqG[iSq][iQA] * conj(RsqqG[iSq][iQB])
                        * conj(LsqqG[jSq][iQA]) * RsqqG[jSq][iQB]);
      double Q21 = real(RsqqG[iSq][iQA] * conj(LsqqG[iSq][iQB])
                        * conj(RsqqG[jSq][iQA]) * LsqqG[jSq][iQB]);
      double Q22 = real(RsqqG[iSq][iQA] * conj(RsqqG[iSq][iQB])
                        * conj(RsqqG[jSq][iQA]) * RsqqG[jSq][iQB]);

      double Qtt11 = 64./27. * Q11 * tHG2;
      double Qtt12 = 64./27. * Q12 * tHG2;
      double Qtt21 = 64./27. * Q21 * tHG2;
      double Qtt22 = 64./27. * Q22 * tHG2;
      
      double Quu11 = 64./27. * Q11 * uHG2;
      double Quu12 = 64./27. * Q12 * uHG2;
      double Quu21 = 64./27. * Q21 * uHG2;
      double Quu22 = 64./27. * Q22 * uHG2;

      double Qtu11 = 16./27. * Q11 * (s34Avg * sH);
      double Qtu12 = 16./27. * Q12 * (s34Avg * sH - tHG * uHG);
      double Qtu21 = 16./27. * Q21 * (s34Avg * sH - tHG * uHG);
      double Qtu22 = 16./27. * Q22 * (s34Avg * sH);
      
      // Cross sections for each helicity configuration (incl average fac 1/4)
      sigHel[0] += Qtt11 / tHsq / tHsqJ
        + Quu11 / uHsq / uHsqJ
        + Qtu11 / tHsq / uHsqJ;
      sigHel[1] += Qtt22 / tHsq / tHsqJ
        + Quu22 / uHsq / uHsqJ
        + Qtu22 / tHsq / uHsqJ;
      sigHel[2] += Qtt12 / tHsq / tHsqJ
        + Quu12 / uHsq / uHsqJ
        + Qtu12 / tHsq / uHsqJ;
      sigHel[3] += Qtt21 / tHsq / tHsqJ
        + Quu21 / uHsq / uHsqJ
        + Qtu21 / tHsq / uHsqJ;
        
    }

  }

  // Sum helicity contributions
  double sigSum = sigHel[0] + sigHel[1] + sigHel[2] + sigHel[3];

  // Return 0 if all terms vanish, else compute and return cross section
  if ( sigSum <= 0. ) return 0.0;

  // Answer
  double sigma  = (M_PI / 8. / sH2) * pow2(alpS) * sigSum * openFracPair;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2gluinogluino::setIdColAcol() {

  // Flavours are trivial.
  setId( id1, id2, 1000021, 1000021);

  // Two colour flow topologies. Swap if first is antiquark.
  if (rndmPtr->flat() < 0.5) setColAcol( 1, 0, 0, 2, 1, 3, 3, 2);
  else                    setColAcol( 1, 0, 0, 2, 3, 2, 1, 3);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma1qq2antisquark
// R-parity violating squark production

//--------------------------------------------------------------------------

// Initialise process

void Sigma1qq2antisquark::initProc(){

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  //Construct name of the process from lambda'' couplings

  nameSave = "q q' -> " + coupSUSYPtr->getName(idRes)+"* + c.c";
  codeSave = 2000 + 10*abs(idRes)/1000000 + abs(idRes)%10;
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma1qq2antisquark::sigmaKin() {

  // Check if at least one RPV coupling non-zero
  if(!coupSUSYPtr->isUDD) {
    sigBW = 0.0;
    return;
  }

  mRes = particleDataPtr->m0(abs(idRes));
  GammaRes = particleDataPtr->mWidth(abs(idRes));
  m2Res = pow2(mRes);
    
  sigBW        = sH * GammaRes/ ( pow2(sH - m2Res) + pow2(mRes * GammaRes) );
  sigBW       *= 2.0/3.0/mRes;

  // Width out only includes open channels.
  widthOut     = GammaRes * particleDataPtr->resOpenFrac(id3);
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma1qq2antisquark::sigmaHat() {

  // Only allow (anti)quark-(anti)quark incoming states
  if (id1*id2 <= 0) return 0.0;

  // Generation indices
  int iA = (abs(id1)+1)/2;
  int iB = (abs(id2)+1)/2;

  //Covert from pdg-code to ~u_i/~d_i basis
  bool idown = (abs(idRes)%2 == 1) ? true : false;
  int iC = (abs(idRes)/1000000 == 2)
         ? (abs(idRes)%10+1)/2 + 3: (abs(idRes)%10+1)/2;

  // UDD structure
  if (abs(id1)%2 == 0 && abs(id2)%2 == 0) return 0.0;
  if (abs(id1)%2 == 1 && abs(id2)%2 == 1 && idown) return 0.0;
  if ((abs(id1) + abs(id2))%2 == 1 && !idown) return 0.0;

  double sigma = 0.0;

  if(!idown){
   // d_i d_j --> ~u*_k
    for(int isq = 1; isq <=3; isq++){
      // Loop over R-type squark contributions
      sigma += pow2(coupSUSYPtr->rvUDD[isq][iA][iB])
        * norm(coupSUSYPtr->Rusq[iC][isq+3]);
    }
  }else{
    // u_i d_j --> d*_k
    // Pick the correct coupling for d-u in-state
    if(abs(id1)%2==1){
      iA = (abs(id2)+1)/2;
      iB = (abs(id1)+1)/2;
    }
    for(int isq = 1; isq <= 3; isq++){
      // Loop over R-type squark contributions
      sigma += pow2(coupSUSYPtr->rvUDD[iA][iB][isq])
        * norm(coupSUSYPtr->Rdsq[iC][isq+3]);
    }
  }

  sigma *= sigBW;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1qq2antisquark::setIdColAcol() {

  // Set flavours.
  if(id1 < 0 && id2 < 0 ) setId( id1, id2, idRes);
  else setId( id1, id2, -idRes);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 2, 0, 0, 3);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}


//==========================================================================


// Sigma2qqbar2chi0gluino
// Cross section for gaugino pair production: neutralino-gluino

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2chi0gluino::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Construct name of process.
  nameSave = "q qbar' -> " + particleDataPtr->name(id3) + " "
    + particleDataPtr->name(id4);

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3, id4);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2chi0gluino::sigmaKin() {

  // Common flavour-independent factor.
  sigma0 = M_PI * 4.0 / 9.0/ sH2 / coupSUSYPtr->sin2W * alpEM * alpS
    * openFracPair;

  // Auxiliary factors for use below
  ui       = uH - s3;
  uj       = uH - s4;
  ti       = tH - s3;
  tj       = tH - s4;
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2chi0gluino::sigmaHat() {

  // Only allow quark-antiquark incoming states
  if (id1*id2 >= 0) return 0.0;
  
  // In-pair must both be up-type or both down-type
  if ((id1+id2) % 2 != 0) return 0.0;

  // Swap T and U if antiquark-quark instead of quark-antiquark
  if (id1<0) swapTU = true;
  
  // Shorthands
  int idAbs1    = abs(id1);
  int idAbs2    = abs(id2);

  // Flavour-dependent kinematics-dependent couplings.
  complex QuLL(0.0),QtLL(0.0),QuRR(0.0),QtRR(0.0);
  complex QuLR(0.0),QtLR(0.0),QuRL(0.0),QtRL(0.0);

  // Flavour indices
  int ifl1 = (idAbs1+1) / 2;
  int ifl2 = (idAbs2+1) / 2;

  complex (*LsddXloc)[4][6];
  complex (*RsddXloc)[4][6];
  complex (*LsuuXloc)[4][6];
  complex (*RsuuXloc)[4][6];
  LsddXloc = coupSUSYPtr->LsddX;
  RsddXloc = coupSUSYPtr->RsddX;
  LsuuXloc = coupSUSYPtr->LsuuX;
  RsuuXloc = coupSUSYPtr->RsuuX;

  // Add t-channel squark flavour sums to QmXY couplings
  for (int ksq=1; ksq<=6; ksq++) {

    // squark id and squark-subtracted u and t

    int idsq;
    idsq=((ksq+2)/3)*1000000 + 2*((ksq-1) % 3) + (idAbs1+1) % 2 + 1;

    double msq2    = pow(particleDataPtr->m0(idsq),2);
    double usq     = uH - msq2;
    double tsq     = tH - msq2;
    
    complex Lsqq1X4;
    complex Lsqq2X4;
    complex Rsqq1X4;
    complex Rsqq2X4;

    complex Lsqq1G;
    complex Rsqq1G;
    complex Lsqq2G;
    complex Rsqq2G;

    // Couplings
    Lsqq1X4 = LsuuXloc[ksq][ifl1][id4chi];
    Lsqq2X4 = LsuuXloc[ksq][ifl2][id4chi];
    Rsqq1X4 = RsuuXloc[ksq][ifl1][id4chi];
    Rsqq2X4 = RsuuXloc[ksq][ifl2][id4chi];

    Lsqq1G = coupSUSYPtr->LsuuG[ksq][ifl1];
    Rsqq1G = coupSUSYPtr->RsuuG[ksq][ifl1];
    Lsqq2G = coupSUSYPtr->LsuuG[ksq][ifl2];
    Rsqq2G = coupSUSYPtr->RsuuG[ksq][ifl2];

    if (idAbs1 % 2 != 0) {
      Lsqq1X4 = LsddXloc[ksq][ifl1][id4chi];
      Lsqq2X4 = LsddXloc[ksq][ifl2][id4chi];
      Rsqq1X4 = RsddXloc[ksq][ifl1][id4chi];
      Rsqq2X4 = RsddXloc[ksq][ifl2][id4chi];

      Lsqq1G = coupSUSYPtr->LsddG[ksq][ifl1];
      Rsqq1G = coupSUSYPtr->RsddG[ksq][ifl1];
      Lsqq2G = coupSUSYPtr->LsddG[ksq][ifl2];
      Rsqq2G = coupSUSYPtr->RsddG[ksq][ifl2];
    }

    // QuXY
    QuLL += conj(Lsqq1X4)*Lsqq2G/usq;
    QuRR += conj(Rsqq1X4)*Rsqq2G/usq;
    QuLR += conj(Lsqq1X4)*Rsqq2G/usq;
    QuRL += conj(Rsqq1X4)*Lsqq2G/usq;
    
    // QtXY
    QtLL -= conj(Lsqq1G)*Lsqq2X4/tsq;
    QtRR -= conj(Rsqq1G)*Rsqq2X4/tsq;
    QtLR += conj(Lsqq1G)*Rsqq2X4/tsq;
    QtRL += conj(Rsqq1G)*Lsqq2X4/tsq;

  }

  // Overall factor multiplying coupling
  double fac = (1.0-coupSUSYPtr->sin2W);

  // Compute matrix element weight
  double weight = 0;
  double facLR = uH*tH - s3*s4;
  double facMS = m3*m4*sH;

  // Average over separate helicity contributions
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += norm(QuLL) * ui * uj + norm(QtLL) * ti * tj
    + 2 * real(conj(QuLL) * QtLL) * facMS;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += norm(QtRR) * ti * tj + norm(QuRR) * ui * uj
    + 2 * real(conj(QuRR) * QtRR) * facMS;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += norm(QuRL) * ui * uj + norm(QtRL) * ti * tj
    + real(conj(QuRL) * QtRL) * facLR;
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += norm(QuLR) * ui * uj + norm(QtLR) * ti * tj
    + real(conj(QuLR) * QtLR) * facLR;

  // Cross section, including colour factor.
  double sigma = sigma0 * weight / fac;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2chi0gluino::setIdColAcol() {

  // Set flavours.
  setId( id1, id2, id3, id4);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 2, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2chargluino
// Cross section for gaugino pair production: chargino-gluino

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2chargluino::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Construct name of process.
  nameSave = "q qbar' -> " + particleDataPtr->name(id3) + " "
    + particleDataPtr->name(id4) + " + c.c";

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3, id4);

}

//--------------------------------------------------------------------------
// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2chargluino::sigmaKin() {

  // Common flavour-independent factor.
  
  sigma0 = M_PI / sH2 * 4.0 / 9.0 / coupSUSYPtr->sin2W * alpEM * alpS ;
  sigma0 /= 2.0 * (1 - coupSUSYPtr->sin2W) ;

  // Auxiliary factors for use below
  ui        = uH - s3;
  uj        = uH - s4;
  ti        = tH - s3;
  tj        = tH - s4;
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2chargluino::sigmaHat() {

  // Only allow particle-antiparticle incoming states
  if (id1*id2 >= 0) return 0.0;
  
  // Only allow incoming states with sum(charge) = final state
  if (abs(id1) % 2 == abs(id2) % 2) return 0.0;
  int isPos  = (id4chi > 0 ? 1 : 0);
  if (id1 < 0 && id1 > -19 && abs(id1) % 2 == 1-isPos ) return 0.0;
  else if (id1 > 0 && id1 < 19 && abs(id1) % 2 == isPos ) return 0.0;

  // Flavour-dependent kinematics-dependent couplings.
  int idAbs1  = abs(id1);
  int iChar = abs(id4chi);
  
  complex QuLL(0.0),QtLL(0.0),QuRR(0.0),QtRR(0.0);
  complex QuLR(0.0),QtLR(0.0),QuRL(0.0),QtRL(0.0);
  
  // Calculate everything from udbar -> ~chi+ ~chi0 template process
  complex LsddGl;
  complex RsddGl;
  complex LsuuGl;
  complex RsuuGl;
  complex (*LsduXloc)[4][3];
  complex (*RsduXloc)[4][3];
  complex (*LsudXloc)[4][3];
  complex (*RsudXloc)[4][3];

  LsduXloc = coupSUSYPtr->LsduX;
  RsduXloc = coupSUSYPtr->RsduX;
  LsudXloc = coupSUSYPtr->LsudX;
  RsudXloc = coupSUSYPtr->RsudX;
  
  // u dbar , ubar d : do nothing
  // dbar u , d ubar : swap 1<->2 and t<->u
  int iGu = abs(id1)/2;
  int iGd = (abs(id2)+1)/2;
  if (idAbs1 % 2 != 0) {
    swapTU = true;
    iGu = abs(id2)/2;
    iGd = (abs(id1)+1)/2;
  }

  // Add t-channel squark flavour sums to QmXY couplings
  for (int jsq=1; jsq<=6; jsq++) {

    int idsu=((jsq+2)/3)*1000000 + 2*((jsq-1) % 3) + 2 ;
    int idsd=((jsq+2)/3)*1000000 + 2*((jsq-1) % 3) + 1 ;
    
    LsddGl = coupSUSYPtr->LsddG[jsq][iGd];
    RsddGl = coupSUSYPtr->RsddG[jsq][iGd];
    LsuuGl = coupSUSYPtr->LsuuG[jsq][iGu];
    RsuuGl = coupSUSYPtr->RsuuG[jsq][iGu];

    double msd2 = pow(particleDataPtr->m0(idsd),2);
    double msu2 = pow(particleDataPtr->m0(idsu),2);
    double tsq  = tH - msd2;
    double usq  = uH - msu2;

    QuLL += conj(LsuuGl) * conj(LsudXloc[jsq][iGd][iChar])/usq;
    QuLR += conj(LsuuGl) * conj(RsudXloc[jsq][iGd][iChar])/usq;
    QuRR += conj(RsuuGl) * conj(RsudXloc[jsq][iGd][iChar])/usq;
    QuRL += conj(RsuuGl) * conj(LsudXloc[jsq][iGd][iChar])/usq;

    QtLL -= conj(LsduXloc[jsq][iGu][iChar]) * LsddGl/tsq;
    QtRR -= conj(RsduXloc[jsq][iGu][iChar]) * RsddGl/tsq;
    QtLR += conj(LsduXloc[jsq][iGu][iChar]) * RsddGl/tsq;
    QtRL += conj(RsduXloc[jsq][iGu][iChar]) * LsddGl/tsq;
  }

  // Compute matrix element weight
  double weight = 0;

  // Average over separate helicity contributions
  // (if swapped, swap ha, hb if computing polarized cross sections)
  // LL (ha = -1, hb = +1) (divided by 4 for average)
  weight += norm(QuLL) * ui * uj + norm(QtLL) * ti * tj
    + 2 * real(conj(QuLL) * QtLL) * m3 * m4 * sH;
  // RR (ha =  1, hb = -1) (divided by 4 for average)
  weight += norm(QtRR) * ti * tj + norm(QuRR) * ui * uj
    + 2 * real(conj(QuRR) * QtRR) * m3 * m4 * sH;
  // RL (ha =  1, hb =  1) (divided by 4 for average)
  weight += norm(QuRL) * ui * uj + norm(QtRL) * ti * tj
    + real(conj(QuRL) * QtRL) * (uH * tH - s3 * s4);
  // LR (ha = -1, hb = -1) (divided by 4 for average)
  weight += norm(QuLR) * ui * uj + norm(QtLR) * ti * tj
    + real(conj(QuLR) * QtLR) * (uH * tH - s3 * s4);

  // Cross section, including colour factor.
  double sigma = sigma0 * weight;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

void Sigma2qqbar2chargluino::setIdColAcol() {

  // Set flavours.
  setId( id1, id2, id3, id4);

  // Colour flow topologies. Swap when antiquarks.
  setColAcol( 1, 0, 0, 2, 1, 2, 0, 0);
  if (id1 < 0) swapColAcol();

}

//==========================================================================

// Sigma2qqbar2sleptonantislepton
// Cross section for qqbar-initiated slepton-antislepton production

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2qqbar2sleptonantislepton::initProc() {

  //Typecast to the correct couplings
  coupSUSYPtr = (CoupSUSY*) couplingsPtr;

  // Is this a ~u_i ~d*_j, ~d_i ~u*_j final state or ~d_i ~d*_j, ~u_i ~u*_j
  if (abs(id3Sav) % 2 == abs(id4Sav) % 2) isUD = false;
  else isUD = true;

  // Derive name
  nameSave = "q qbar' -> "+particleDataPtr->name(abs(id3Sav))+" "+
    particleDataPtr->name(-abs(id4Sav));
  if (isUD) nameSave +=" + c.c.";

  // Extract isospin and mass-ordering indices

  if(isUD && abs(id3Sav)%2 == 0) {
    // Make sure iGen3 is always slepton and iGen4 is always sneutrino
    iGen3 = 3*(abs(id4Sav)/2000000) + (abs(id4Sav)%10+1)/2;
    iGen4 = 3*(abs(id3Sav)/2000000) + (abs(id3Sav)%10+1)/2;
  }
  else {
    iGen3 = 3*(abs(id3Sav)/2000000) + (abs(id3Sav)%10+1)/2;
    iGen4 = 3*(abs(id4Sav)/2000000) + (abs(id4Sav)%10+1)/2;
  }

  // Count 5 neutralinos in NMSSM
  nNeut = (coupSUSYPtr->isNMSSM ? 5 : 4);

  // Store mass squares of all possible internal propagator lines;
  // retained for future extension to leptonic initial states
  m2Neut.resize(nNeut+1);
  for (int iNeut=1;iNeut<=nNeut;iNeut++)
    m2Neut[iNeut] = pow2(particleDataPtr->m0(coupSUSYPtr->idNeut(iNeut)));
  
  // Set sizes of some arrays to be used below
  tNeut.resize(nNeut+1);
  uNeut.resize(nNeut+1);

  // Shorthand for Weak mixing
  xW = coupSUSYPtr->sin2W;

  // Secondary open width fraction.
  openFracPair = particleDataPtr->resOpenFrac(id3Sav, id4Sav);

}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), part independent of incoming flavour.

void Sigma2qqbar2sleptonantislepton::sigmaKin() {

  // Z/W propagator
  if (! isUD) {
    double sV= sH - pow2(coupSUSYPtr->mZpole);
    double d = pow2(sV) + pow2(coupSUSYPtr->mZpole * coupSUSYPtr->wZpole);
    propZW   = complex( sV / d, coupSUSYPtr->mZpole * coupSUSYPtr->wZpole / d);
  } else {
    double sV= sH - pow2(coupSUSYPtr->mWpole);
    double d = pow2(sV) + pow2(coupSUSYPtr->mWpole * coupSUSYPtr->wWpole);
    propZW   = complex( sV / d, coupSUSYPtr->mWpole * coupSUSYPtr->wWpole / d);
  }

  // Flavor-independent pre-factors
  double comFacHat = M_PI/sH2 * openFracPair;

  sigmaEW       = comFacHat * pow2(alpEM);
}

//--------------------------------------------------------------------------

// Evaluate d(sigmaHat)/d(tHat), including incoming flavour dependence.

double Sigma2qqbar2sleptonantislepton::sigmaHat() {

  // In-pair must be opposite-sign
  if (id1 * id2 > 0) return 0.0;
  
  // Check correct charge sum
  if (isUD && abs(id1) %2 == abs(id2) % 2) return 0.0;
  if (!isUD && abs(id1) % 2 != abs(id2) % 2) return 0.0;

  // No RH sneutrinos
  if ( (abs(id3)%2 == 0 && abs(id3) > 2000000)
       || (abs(id4)%2 == 0 && abs(id4) > 2000000) ) return 0.0;

  // Coded UD sigma is for udbar -> ~v~l'*. Swap t<->u for dbaru -> ~l~v*.
  swapTU = (isUD && abs(id1) % 2 != 0);

  // Coded QQ sigma is for qqbar -> ~l~l*. Swap t<->u for qbarq -> ~l~l*.
  if (!isUD && id1 < 0) swapTU = true;

  // Generation indices of incoming particles
  int idIn1A = (swapTU) ? abs(id2) : abs(id1);
  int idIn2A = (swapTU) ? abs(id1) : abs(id2);
  int iGen1  = (idIn1A+1)/2;
  int iGen2  = (idIn2A+1)/2;

  // Auxiliary factors for use below
  for (int i=1; i<= nNeut; i++) {
    tNeut[i] = tH - m2Neut[i];
    uNeut[i] = uH - m2Neut[i];
  }

  double eQ  = (idIn1A % 2 == 0) ? 2./3. : -1./3. ;
  double eSl = (abs(id3Sav) % 2 == 0) ? 0. : -1. ;

  // Initial values for pieces used for color-flow selection below
  sumColS   = 0.0;
  sumColT   = 0.0;
  sumInterference = 0.0;

  // Common factor for LR and RL contributions
  double facTU =  uH*tH-s3*s4;
  
  // Opposite-isospin: udbar -> ~l~v*
  if ( isUD ) {

    // s-channel W contribution (only contributes to LL helicities)
    sumColS = sigmaEW / 32.0 / pow2(xW) / pow2(1.0-xW)
      * norm(conj(coupSUSYPtr->LudW[iGen1][iGen2])
             * coupSUSYPtr->LslsvW[iGen3][iGen4]) * facTU * norm(propZW);
  }

  double CslZ;

  // s-channel Z/photon and interference
  if (abs(id1) == abs(id2)) {

    CslZ = real(coupSUSYPtr->LslslZ[iGen3][iGen4]
                       + coupSUSYPtr->RslslZ[iGen3][iGen4]);
    if (abs(id3)%2 == 0)
      CslZ = real(coupSUSYPtr->LsvsvZ[iGen3][iGen4]
                  + coupSUSYPtr->RsvsvZ[iGen3][iGen4]);

    // gamma
    // Factor 2 since contributes to both ha != hb helicities
    sumColS += (abs(CslZ) > 0.0) ? 2. * pow2(eQ) * pow2(eSl) * sigmaEW
      * facTU / pow2(sH) : 0.0;
      
    // Z/gamma interference
    sumInterference += eQ * eSl * sigmaEW * facTU / 2.0 / xW / (1.-xW)
      * sqrt(norm(propZW)) / sH * CslZ
      * (coupSUSYPtr->LqqZ[idIn1A] + coupSUSYPtr->RqqZ[idIn1A]);
    
    // s-channel Z

    CslZ = norm(coupSUSYPtr->LslslZ[iGen3][iGen4]
                + coupSUSYPtr->RslslZ[iGen3][iGen4]);
    if (abs(id3Sav)%2 == 0)
      CslZ = norm(coupSUSYPtr->LsvsvZ[iGen3][iGen4]
                  + coupSUSYPtr->RsvsvZ[iGen3][iGen4]);

    sumColS += sigmaEW * facTU / 16.0 / pow2(xW) / pow2(1.0-xW)
      * norm(propZW) * CslZ
      * ( pow2(coupSUSYPtr->LqqZ[idIn1A]) + pow2(coupSUSYPtr->RqqZ[idIn1A]) );
  }

  // Cross section
  double sigma = sumColS + sumColT + sumInterference;

  // Colour average
  if(abs(id1) < 10) sigma /= 3.0;

  // Add cc term
  if(isUD) sigma *= 2.0;

  // Return answer.
  return sigma;
  
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2qqbar2sleptonantislepton::setIdColAcol() {

  // Set flavours.
  int iSl, iSv;
  if( isUD ){
    iSl = (abs(id3)%2 == 0) ? abs(id3) : abs(id4);
    iSv = (abs(id3)%2 == 0) ? abs(id4) : abs(id3);
    if ((id1%2 + id2%2 ) > 0)
      setId( id1, id2, -iSl, iSv);
    else
      setId( id1, id2, iSl, -iSv);
  }
  else
    setId( id1, id2, abs(id3), -abs(id4));

  setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  if (id1 < 0 ) swapColAcol();

}

//==========================================================================

} // end namespace Pythia8

pythia8-8.1.86.orig/src/SigmaLeftRightSym.cc0000644000175000017500000006366112357054764017030 0ustar  sunsun// SigmaLeftRightSym.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// left-right-symmetry simulation classes.

#include "Pythia8/SigmaLeftRightSym.h"

namespace Pythia8 {

//==========================================================================

// Sigma1ffbar2ZRight class.
// Cross section for f fbar -> Z_R^0 (righthanded gauge boson).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2ZRight::initProc() {

  // Store Z_R mass and width for propagator.
  idZR     = 9900023;
  mRes     = particleDataPtr->m0(idZR);
  GammaRes = particleDataPtr->mWidth(idZR);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;
  sin2tW   = couplingsPtr->sin2thetaW();

  // Set pointer to particle properties and decay table.
  ZRPtr    = particleDataPtr->particleDataEntryPtr(idZR);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2ZRight::sigmaKin() {

  // Set up Breit-Wigner. Width out only includes open channels.
  double sigBW    = 12. * M_PI/ ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double widthOut = ZRPtr->resWidthOpen(idZR, mH);

  // Prefactor for incoming widths. Combine. Done.
  double preFac   = alpEM * mH / ( 48. * sin2tW * (1. - sin2tW)
                  * (1. - 2. * sin2tW) );
  sigma0          = preFac * sigBW * widthOut;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2ZRight::sigmaHat() {

  // Vector and axial couplings of incoming fermion pair.
  int    idAbs = abs(id1);
  double af = 0.;
  double vf = 0.;
  if (idAbs < 9 && idAbs%2 == 1) {
    af      = -1. + 2. * sin2tW;
    vf      = -1. + 4. * sin2tW / 3.;
  } else if (idAbs < 9) {
    af      = 1. - 2. * sin2tW;
    vf      = 1. - 8. * sin2tW / 3.;
  } else if (idAbs < 19 && idAbs%2 == 1) {
    af      = -1. + 2. * sin2tW;
    vf      = -1. + 4. * sin2tW;
  }

  // Colour factor. Answer.
  double sigma = (vf*vf + af*af) * sigma0;
  if (idAbs < 9) sigma /= 3.;
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2ZRight::setIdColAcol() {

  // Flavours trivial.
  setId( id1, id2, idZR);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for Z_R decay angle.
  
double Sigma1ffbar2ZRight::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Z_R should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Couplings for in- and out-flavours.
  double ai, vi, af, vf;
  int idInAbs   = process[3].idAbs();
  if (idInAbs < 9 && idInAbs%2 == 1) {
    ai          = -1. + 2. * sin2tW;
    vi          = -1. + 4. * sin2tW / 3.;
  } else if (idInAbs < 9) {
    ai          = 1. - 2. * sin2tW;
    vi          = 1. - 8. * sin2tW / 3.;
  } else {
    ai          = -1. + 2. * sin2tW;
    vi          = -1. + 4. * sin2tW;
  }
  int idOutAbs = process[6].idAbs();
  if (idOutAbs < 9 && idOutAbs%2 == 1) {
    af          = -1. + 2. * sin2tW;
    vf          = -1. + 4. * sin2tW / 3.;
  } else if (idOutAbs < 9) {
    af          = 1. - 2. * sin2tW;
    vf          = 1. - 8. * sin2tW / 3.;
  } else {
    af          = -1. + 2. * sin2tW;
    vf          = -1. + 4. * sin2tW;
  }

  // Phase space factors. Reconstruct decay angle.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);

  // Angular weight and its maximum.
  double wt1    = (vi*vi + ai*ai) * (vf*vf + af*af * betaf*betaf);
  double wt2    = (1. - betaf*betaf) * (vi*vi + ai*ai) * vf*vf;
  double wt3    = betaf * 4. * vi * ai * vf * af;
  if (process[3].id() * process[6].id() < 0) wt3 = -wt3;
  double wt     = wt1 * (1. + cosThe*cosThe) + wt2 * (1. - cosThe*cosThe)
                + 2. * wt3 * cosThe;
  double wtMax  = 2. * (wt1 + abs(wt3));

  // Done.
  return wt / wtMax;

}

//==========================================================================

// Sigma1ffbar2WRight class.
// Cross section for f fbar' -> W_R^+- (righthanded gauge boson).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ffbar2WRight::initProc() {

  // Store W_R^+- mass and width for propagator.
  idWR     = 9900024;
  mRes     = particleDataPtr->m0(idWR);
  GammaRes = particleDataPtr->mWidth(idWR);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;
  thetaWRat = 1. / (12. * couplingsPtr->sin2thetaW());

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(idWR);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma1ffbar2WRight::sigmaKin() {

  // Common coupling factors.
  double colQ   = 3. * (1. + alpS / M_PI);

  // Reset quantities to sum. Declare variables inside loop.
  double widOutPos = 0.;
  double widOutNeg = 0.;
  int    id1Now, id2Now, id1Abs, id2Abs, id1Neg, id2Neg, onMode;
  double widNow, widSecPos, widSecNeg, mf1, mf2, mr1, mr2, kinFac;

  // Loop over all W_R^+- decay channels.
  for (int i = 0; i < particlePtr->sizeChannels(); ++i) {
    id1Now      = particlePtr->channel(i).product(0);
    id2Now      = particlePtr->channel(i).product(1);
    id1Abs      = abs(id1Now);
    id2Abs      = abs(id2Now);

    // Check that above threshold. Phase space.
    mf1 = particleDataPtr->m0(id1Abs);
    mf2 = particleDataPtr->m0(id2Abs);
    if (mH > mf1 + mf2 + MASSMARGIN) {
      mr1    = pow2(mf1 / mH);
      mr2    = pow2(mf2 / mH);
      kinFac = (1. - 0.5 * (mr1 + mr2) - 0.5 * pow2(mr1 - mr2))
             * sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2 );

      // Combine kinematics with colour factor and CKM couplings.
      widNow = kinFac;
      if (id1Abs < 9) widNow *= colQ * couplingsPtr->V2CKMid(id1Abs, id2Abs);
 
      // Secondary width from top and righthanded neutrino decay.
      id1Neg    = (id1Abs < 19) ? -id1Now : id1Abs;
      id2Neg    = (id2Abs < 19) ? -id2Now : id2Abs;
      widSecPos = particleDataPtr->resOpenFrac(id1Now, id2Now);
      widSecNeg = particleDataPtr->resOpenFrac(id1Neg, id2Neg);

      // Add weight for channels on for all, W_R^+ and W_R^-, respectively.
      onMode = particlePtr->channel(i).onMode();
      if (onMode == 1 || onMode == 2) widOutPos += widNow * widSecPos;
      if (onMode == 1 || onMode == 3) widOutNeg += widNow * widSecNeg;

    // End loop over fermions.
    }
  }

  // Set up Breit-Wigner. Cross section for W_R^+ and W_R^- separately.
  double sigBW = 12. * M_PI * pow2(alpEM * thetaWRat) * sH
               / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  sigma0Pos = sigBW * widOutPos;
  sigma0Neg = sigBW * widOutNeg;

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ffbar2WRight::sigmaHat() {

  // Secondary width for W_R^+ or W_R^-. CKM and colour factors.
  int idUp = (abs(id1)%2 == 0) ? id1 : id2;
  double sigma = (idUp > 0) ? sigma0Pos : sigma0Neg;
  if (abs(id1) < 9) sigma *= couplingsPtr->V2CKMid(abs(id1), abs(id2)) / 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ffbar2WRight::setIdColAcol() {

  // Sign of outgoing W_R.
  int sign          = (abs(id1)%2 == 0) ? 1 : -1;
  if (id1 < 0) sign = -sign;
  setId( id1, id2, idWR * sign);

  // Colour flow topologies. Swap when antiquarks.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for W_R decay angle.
  
double Sigma1ffbar2WRight::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // W_R should sit in entry 5.
  if (iResBeg != 5 || iResEnd != 5) return 1.;

  // Phase space factors.
  double mr1    = pow2(process[6].m()) / sH;
  double mr2    = pow2(process[7].m()) / sH;
  double betaf  = sqrtpos( pow2(1. - mr1 - mr2) - 4. * mr1 * mr2);
   
  // Sign of asymmetry.
  double eps    = (process[3].id() * process[6].id() > 0) ? 1. : -1.;

  // Reconstruct decay angle and weight for it.
  double cosThe = (process[3].p() - process[4].p())
    * (process[7].p() - process[6].p()) / (sH * betaf);
  double wtMax  = 4.;
  double wt     = pow2(1. + betaf * eps * cosThe) - pow2(mr1 - mr2);
 
  // Done.
  return (wt / wtMax);

}

//==========================================================================

// Sigma1ll2Hchgchg class.
// Cross section for l l -> H_L^++-- or H_R^++-- (doubly charged Higgs).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma1ll2Hchgchg::initProc() {

  // Set process properties: H_L^++-- or H_R^++--.
  if (leftRight == 1) {
    idHLR    = 9900041;
    codeSave = 3121;
    nameSave = "l l -> H_L^++--";
  } else {
    idHLR    = 9900042;
    codeSave = 3141;
    nameSave = "l l -> H_R^++--";
  }

  // Read in Yukawa matrix for couplings to a lepton pair.
  yukawa[1][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHee");
  yukawa[2][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHmue");
  yukawa[2][2]  = settingsPtr->parm("LeftRightSymmmetry:coupHmumu");
  yukawa[3][1]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaue");
  yukawa[3][2]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaumu");
  yukawa[3][3]  = settingsPtr->parm("LeftRightSymmmetry:coupHtautau");

  // Store H_L/R mass and width for propagator.
  mRes     = particleDataPtr->m0(idHLR);
  GammaRes = particleDataPtr->mWidth(idHLR);
  m2Res    = mRes*mRes;
  GamMRat  = GammaRes / mRes;

  // Set pointer to particle properties and decay table.
  particlePtr = particleDataPtr->particleDataEntryPtr(idHLR);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma1ll2Hchgchg::sigmaHat() {

  // Initial state must consist of two identical-sign leptons.
  if (id1 * id2 < 0) return 0.;
  int id1Abs = abs(id1);
  int id2Abs = abs(id2);
  if (id1Abs != 11 && id1Abs != 13 && id1Abs != 15) return 0.;
  if (id2Abs != 11 && id2Abs != 13 && id2Abs != 15) return 0.;

  // Set up Breit-Wigner, inwidth and outwidth.
  double sigBW  = 8. * M_PI / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double widIn  = pow2(yukawa[(id1Abs-9)/2][(id2Abs-9)/2])
                * mH / (8. * M_PI);
  int idSgn     = (id1 < 0) ? idHLR : -idHLR;
  double widOut = particlePtr->resWidthOpen( idSgn, mH);

  // Answer.
  return widIn * sigBW * widOut;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma1ll2Hchgchg::setIdColAcol() {

  // Sign of outgoing H_L/R.
  int idSgn     = (id1 < 0) ? idHLR : -idHLR;
  setId( id1, id2, idSgn);

  // No colours whatsoever.
  setColAcol( 0, 0, 0, 0, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for H_L/R sequential decay angles.
  
double Sigma1ll2Hchgchg::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);
 
  // Else isotropic decay.
  return 1.;

}

//==========================================================================

// Sigma2lgm2Hchgchgl class.
// Cross section for l gamma -> H_L^++-- l or H_R^++-- l
// (doubly charged Higgs).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2lgm2Hchgchgl::initProc() {

  // Set process properties: H_L^++-- or H_R^++-- and e/mu/tau.
  idHLR        = (leftRight == 1) ? 9900041 : 9900042;
  codeSave     = (leftRight == 1) ? 3122 : 3142;
  if (idLep == 13) codeSave += 2;
  if (idLep == 15) codeSave += 4;
  if      (codeSave == 3122) nameSave = "l^+- gamma -> H_L^++-- e^-+";
  else if (codeSave == 3123) nameSave = "l^+- gamma -> H_L^++-- mu^-+";
  else if (codeSave == 3124) nameSave = "l^+- gamma -> H_L^++-- tau^-+";
  else if (codeSave == 3142) nameSave = "l^+- gamma -> H_R^++-- e^-+";
  else if (codeSave == 3143) nameSave = "l^+- gamma -> H_R^++-- mu^-+";
  else                       nameSave = "l^+- gamma -> H_R^++-- tau^-+";

  // Read in relevantYukawa matrix for couplings to a lepton pair.
  if (idLep == 11) {
    yukawa[1]  = settingsPtr->parm("LeftRightSymmmetry:coupHee");
    yukawa[2]  = settingsPtr->parm("LeftRightSymmmetry:coupHmue");
    yukawa[3]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaue");
  } else if (idLep == 13) {
    yukawa[1]  = settingsPtr->parm("LeftRightSymmmetry:coupHmue");
    yukawa[2]  = settingsPtr->parm("LeftRightSymmmetry:coupHmumu");
    yukawa[3]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaumu");
  } else {
    yukawa[1]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaue");
    yukawa[2]  = settingsPtr->parm("LeftRightSymmmetry:coupHtaumu");
    yukawa[3]  = settingsPtr->parm("LeftRightSymmmetry:coupHtautau");
  }

  // Secondary open width fractions.
  openFracPos  = particleDataPtr->resOpenFrac( idHLR);
  openFracNeg  = particleDataPtr->resOpenFrac(-idHLR);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2lgm2Hchgchgl::sigmaHat() {

  // Initial state must consist of a lepton and a photon.
  int idIn     = (id2 == 22) ? id1 : id2;
  int idInAbs  = abs(idIn);
  if (idInAbs != 11 && idInAbs != 13 && idInAbs != 15) return 0.;

  // Incoming squared lepton mass.
  double s1    = pow2( particleDataPtr->m0(idInAbs) );
  
  // Kinematical expressions.
  double smm1  = 8. * (sH + tH - s3) * (sH + tH - 2. * s3 - s1 - s4)
               / pow2(uH - s3);
  double smm2  = 2. * ( (2. * s3 - 3. * s1) * s4 + (s1 - 2. * s4) * tH
               - (tH - s4) * sH ) / pow2(tH - s4);
  double smm3  = 2. * ( (2. * s3 - 3. * s4 + tH) * s1
               - (2. * s1 - s4 + tH) * sH ) / pow2(sH - s1);
  double smm12 = 4. * ( (2. * s1 - s4 - 2. * s3 + tH) * sH
               + (tH - 3. * s3 - 3. * s4) * tH + (2. * s3 - 2. * s1
               + 3. * s4) * s3 ) / ( (uH - s3) * (tH - s4) );
  double smm13 = -4. * ( (tH + s1 - 2. * s4) * tH - (s3 + 3. * s1 - 2. * s4)
               * s3 + (s3 + 3. * s1 + tH) * sH - pow2(tH - s3 + sH) )
               / ( (uH - s3) * (sH - s1) );
  double smm23 = -4. * ( (s1 - s4 + s3) * tH - s3*s3 + s3 * (s1 + s4)
               - 3. * s1 * s4 - (s1 - s4 - s3 + tH) * sH)
               / ( (sH - s1) * (tH - s4) );
  double sigma = alpEM * pow2(sH / (sH - s1) ) * (smm1 + smm2 + smm3
               + smm12 + smm13 + smm23) / (4. * sH2);

  // Lepton Yukawa and secondary widths.
  sigma       *= pow2(yukawa[(idInAbs-9)/2]);
  sigma       *= (idIn < 0) ? openFracPos : openFracNeg;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2lgm2Hchgchgl::setIdColAcol() {

  // Sign of outgoing H_L/R.
  int idIn     = (id2 == 22) ? id1 : id2;
  int idSgn    = (idIn < 0) ? idHLR : -idHLR;
  int idOut    = (idIn < 0) ? idLep : -idLep;
  setId( id1, id2, idSgn, idOut);

  // tHat is defined between incoming lepton and outgoing Higgs.
  if (id1 == 22) swapTU = true;

  // No colours whatsoever.
  setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);

}

//--------------------------------------------------------------------------

// Evaluate weight for H_L/R sequential decay angles.
  
double Sigma2lgm2Hchgchgl::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);
 
  // Else isotropic decay.
  return 1.;

}

//==========================================================================

// Sigma3ff2HchgchgfftWW class.
// Cross section for  f_1 f_2 -> H_(L/R)^++-- f_3 f_4 (W+- W+- fusion).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma3ff2HchgchgfftWW::initProc() {

  // Set process properties: H_L^++-- or H_R^++--.
  if (leftRight == 1) {
    idHLR      = 9900041;
    codeSave   = 3125;
    nameSave   = "f_1 f_2 -> H_L^++-- f_3 f_4 (W+- W+- fusion)";
  } else {
    idHLR      = 9900042;
    codeSave   = 3145;
    nameSave   = "f_1 f_2 -> H_R^++-- f_3 f_4 (W+- W+- fusion)";
  }

  // Common fixed mass and coupling factor.
  double mW    = particleDataPtr->m0(24);
  double mWR   = particleDataPtr->m0(9900024);
  mWS          = (leftRight == 1) ? pow2(mW) : pow2(mWR);
  double gL    = settingsPtr->parm("LeftRightSymmmetry:gL");
  double gR    = settingsPtr->parm("LeftRightSymmmetry:gR");
  double vL    = settingsPtr->parm("LeftRightSymmmetry:vL");
  prefac       = (leftRight == 1) ? pow2(pow4(gL) * vL)
                                  : 2. * pow2(pow3(gR) * mWR);
  // Secondary open width fractions.
  openFracPos  = particleDataPtr->resOpenFrac( idHLR);
  openFracNeg  = particleDataPtr->resOpenFrac(-idHLR);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), part independent of incoming flavour.

void Sigma3ff2HchgchgfftWW::sigmaKin() {

  // Required four-vector products.
  double pp12  = 0.5 * sH;
  double pp14  = 0.5 * mH * p4cm.pNeg();
  double pp15  = 0.5 * mH * p5cm.pNeg();
  double pp24  = 0.5 * mH * p4cm.pPos();
  double pp25  = 0.5 * mH * p5cm.pPos();
  double pp45  = p4cm * p5cm;

  // Cross section: kinematics part. Combine with couplings.
  double propT = 1. / ( (2. * pp14 + mWS) * (2. * pp25 + mWS) );
  double propU = 1. / ( (2. * pp24 + mWS) * (2. * pp15 + mWS) );
  sigma0TU     = prefac * pp12 * pp45 * pow2(propT + propU);
  sigma0T      = prefac * pp12 * pp45 * 2. * pow2(propT);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma3ff2HchgchgfftWW::sigmaHat() {

  // Do not allow creation of righthanded neutrinos for H_R.
  int id1Abs   = abs(id1);
  int id2Abs   = abs(id2);
  if ( leftRight == 2 && (id1Abs > 10 || id2Abs > 10) ) return 0.;

  // Many flavour combinations not possible because of charge.
  int chg1     = (( id1Abs%2 == 0 && id1 > 0)
               || (id1Abs%2 == 1 && id1 < 0) ) ? 1 : -1;
  int chg2     = (( id2Abs%2 == 0 && id2 > 0)
               || (id2Abs%2 == 1 && id2 < 0) ) ? 1 : -1;
  if (abs(chg1 + chg2) != 2) return 0.;

  // Basic cross section. CKM factors for final states.
  double sigma = (id2 == id1 && id1Abs > 10) ? sigma0TU : sigma0T;
  sigma       *= couplingsPtr->V2CKMsum(id1Abs)
               * couplingsPtr->V2CKMsum(id2Abs);

  // Secondary width for H0.
  sigma       *= (chg1 + chg2 == 2) ? openFracPos : openFracNeg;

  // Spin-state extra factor 2 per incoming neutrino.
  if (id1Abs == 12 || id1Abs == 14 || id1Abs == 16) sigma *= 2.;
  if (id2Abs == 12 || id2Abs == 14 || id2Abs == 16) sigma *= 2.;

  // Answer.
  return sigma;
 
}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma3ff2HchgchgfftWW::setIdColAcol() {

  // Pick out-flavours by relative CKM weights.
  int id1Abs   = abs(id1);
  int id2Abs   = abs(id2);
  id4          = couplingsPtr->V2CKMpick(id1);
  id5          = couplingsPtr->V2CKMpick(id2);

  // Find charge of Higgs .
  id3 = (( id1Abs%2 == 0 && id1 > 0) || (id1Abs%2 == 1 && id1 < 0) )
      ? idHLR : -idHLR;
  setId( id1, id2, id3, id4, id5);

  // Colour flow topologies. Swap when antiquarks.
  if (id1Abs < 9 && id2Abs < 9 && id1*id2 > 0)
                       setColAcol( 1, 0, 2, 0, 0, 0, 1, 0, 2, 0);
  else if (id1Abs < 9 && id2Abs < 9)
                       setColAcol( 1, 0, 0, 2, 0, 0, 1, 0, 0, 2);
  else if (id1Abs < 9) setColAcol( 1, 0, 0, 0, 0, 0, 1, 0, 0, 0);
  else if (id2Abs < 9) setColAcol( 0, 0, 1, 0, 0, 0, 0, 0, 1, 0);
  else                 setColAcol( 0, 0, 0, 0, 0, 0, 0, 0, 0, 0);
  if ( (id1Abs < 9 && id1 < 0) || (id1Abs > 10 && id2 < 0) )
    swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for decay angles.

double Sigma3ff2HchgchgfftWW::weightDecay( Event& process, int iResBeg,
  int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);

  // Else done.
  return 1.;

}

//==========================================================================

// Sigma2ffbar2HchgchgHchgchg class.
// Cross section for f fbar -> H_(L/R)^++ H_(L/R)^-- (doubly charged Higgs).

//--------------------------------------------------------------------------

// Initialize process.
  
void Sigma2ffbar2HchgchgHchgchg::initProc() {

  // Set process properties: H_L^++ H_L^-- or H_R^++ H_R^--.
  if (leftRight == 1) {
    idHLR      = 9900041;
    codeSave   = 3126;
    nameSave   = "f fbar -> H_L^++ H_L^--";
  } else {
    idHLR      = 9900042;
    codeSave   = 3146;
    nameSave   = "f fbar -> H_R^++ H_R^--";
  }

  // Read in Yukawa matrix for couplings to a lepton pair.
  yukawa[1][1] = settingsPtr->parm("LeftRightSymmmetry:coupHee");
  yukawa[2][1] = settingsPtr->parm("LeftRightSymmmetry:coupHmue");
  yukawa[2][2] = settingsPtr->parm("LeftRightSymmmetry:coupHmumu");
  yukawa[3][1] = settingsPtr->parm("LeftRightSymmmetry:coupHtaue");
  yukawa[3][2] = settingsPtr->parm("LeftRightSymmmetry:coupHtaumu");
  yukawa[3][3] = settingsPtr->parm("LeftRightSymmmetry:coupHtautau");

  // Electroweak parameters.
  mRes         = particleDataPtr->m0(23);
  GammaRes     = particleDataPtr->mWidth(23);
  m2Res        = mRes*mRes;
  GamMRat      = GammaRes / mRes;
  sin2tW       = couplingsPtr->sin2thetaW();
  preFac       = (1. - 2. * sin2tW) / ( 8. * sin2tW * (1. - sin2tW) );

  // Open fraction from secondary widths.
  openFrac     = particleDataPtr->resOpenFrac( idHLR, -idHLR);

}

//--------------------------------------------------------------------------

// Evaluate sigmaHat(sHat), including incoming flavour dependence.

double Sigma2ffbar2HchgchgHchgchg::sigmaHat() {

  // Electroweak couplings to gamma^*/Z^0.
  int    idAbs   = abs(id1);
  double ei      = couplingsPtr->ef(idAbs);
  double vi      = couplingsPtr->vf(idAbs);
  double ai      = couplingsPtr->af(idAbs);

  // Part via gamma^*/Z^0 propagator. No Z^0 coupling to H_R.
  double resProp = 1. / ( pow2(sH - m2Res) + pow2(sH * GamMRat) );
  double sigma   = 8. * pow2(alpEM) * ei*ei / sH2;
  if (leftRight == 1) sigma += 8. * pow2(alpEM)
    * (2. * ei * vi * preFac * (sH - m2Res) * resProp / sH
    + (vi * vi + ai * ai) * pow2(preFac) * resProp);

  // Part via t-channel lepton + interference; sum over possibilities.
  if (idAbs == 11 || idAbs == 13 || idAbs == 15) {
    double yuk2Sum;
    if (idAbs == 11) yuk2Sum
      = pow2(yukawa[1][1]) + pow2(yukawa[2][1]) + pow2(yukawa[3][1]);
    else if (idAbs == 13) yuk2Sum
      = pow2(yukawa[2][1]) + pow2(yukawa[2][2]) + pow2(yukawa[3][2]);
    else yuk2Sum
      = pow2(yukawa[3][1]) + pow2(yukawa[3][2]) + pow2(yukawa[3][3]);
    yuk2Sum /= 4. * M_PI;
    sigma   += 8. * alpEM * ei * yuk2Sum / (sH * tH)
      + 4. * pow2(yuk2Sum) / tH2;
    if (leftRight == 1) sigma += 8. * alpEM * (vi + ai) * yuk2Sum
      * preFac * (sH - m2Res) * resProp / tH;
  }

  // Common kinematical factor. Colour factor.
  sigma *= M_PI * (tH * uH - s3 * s4) / sH2;
  if (idAbs < 9) sigma /= 3.;

  // Answer.
  return sigma;

}

//--------------------------------------------------------------------------

// Select identity, colour and anticolour.

void Sigma2ffbar2HchgchgHchgchg::setIdColAcol() {

  // Outgoing flavours trivial.
  setId( id1, id2, idHLR, -idHLR);

  // tHat is defined between incoming fermion and outgoing H--.
  if (id1 > 0) swapTU = true;

  // No colours at all or one flow topology. Swap if first is antiquark.
  if (abs(id1) < 9) setColAcol( 1, 0, 0, 1, 0, 0, 0, 0);
  else              setColAcol( 0, 0, 0, 0, 0, 0, 0, 0);
  if (id1 < 0) swapColAcol();

}

//--------------------------------------------------------------------------

// Evaluate weight for H_L/R sequential decay angles.
  
double Sigma2ffbar2HchgchgHchgchg::weightDecay( Event& process,
  int iResBeg, int iResEnd) {

  // Identity of mother of decaying reseonance(s).
  int idMother = process[process[iResBeg].mother1()].idAbs();

  // For top decay hand over to standard routine.
  if (idMother == 6)
    return weightTopDecay( process, iResBeg, iResEnd);
 
  // Else isotropic decay.
  return 1.;

}

//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/FragmentationFlavZpT.cc0000644000175000017500000007356612357054761017535 0ustar  sunsun// FragmentationFlavZpT.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// StringFlav, StringZ and StringPT classes.

#include "Pythia8/FragmentationFlavZpT.h"

namespace Pythia8 {

//==========================================================================

// The StringFlav class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Offset for different meson multiplet id values.
const int StringFlav::mesonMultipletCode[6]
  = { 1, 3, 10003, 10001, 20003, 5};

// Clebsch-Gordan coefficients for baryon octet and decuplet are
// fixed once and for all, so only weighted sum needs to be edited.
// Order: ud0 + u, ud0 + s, uu1 + u, uu1 + d, ud1 + u, ud1 + s.
const double StringFlav::baryonCGOct[6]
  = { 0.75, 0.5, 0., 0.1667, 0.0833, 0.1667};
const double StringFlav::baryonCGDec[6]
  = { 0.,  0.,  1., 0.3333, 0.6667, 0.3333};

//--------------------------------------------------------------------------

// Initialize data members of the flavour generation.

void StringFlav::init(Settings& settings, Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr         = rndmPtrIn;

  // Basic parameters for generation of new flavour.
  probQQtoQ       = settings.parm("StringFlav:probQQtoQ");
  probStoUD       = settings.parm("StringFlav:probStoUD");
  probSQtoQQ      = settings.parm("StringFlav:probSQtoQQ");
  probQQ1toQQ0    = settings.parm("StringFlav:probQQ1toQQ0");

  // Parameters derived from above.
  probQandQQ      = 1. + probQQtoQ;
  probQandS       = 2. + probStoUD;
  probQandSinQQ   = 2. + probSQtoQQ * probStoUD;
  probQQ1corr     = 3. * probQQ1toQQ0;
  probQQ1corrInv  = 1. / probQQ1corr;
  probQQ1norm     = probQQ1corr / (1. + probQQ1corr);

  // Spin parameters for combining two quarks to a diquark.
  vector pQQ1tmp = settings.pvec("StringFlav:probQQ1toQQ0join");
  for (int i = 0; i < 4; ++i) 
    probQQ1join[i] = 3. * pQQ1tmp[i] / (1. + 3. * pQQ1tmp[i]);

  // Parameters for normal meson production.
  for (int i = 0; i < 4; ++i) mesonRate[i][0] = 1.;
  mesonRate[0][1] = settings.parm("StringFlav:mesonUDvector");
  mesonRate[1][1] = settings.parm("StringFlav:mesonSvector");
  mesonRate[2][1] = settings.parm("StringFlav:mesonCvector");
  mesonRate[3][1] = settings.parm("StringFlav:mesonBvector");

  // Parameters for L=1 excited-meson production.
  mesonRate[0][2] = settings.parm("StringFlav:mesonUDL1S0J1");
  mesonRate[1][2] = settings.parm("StringFlav:mesonSL1S0J1");
  mesonRate[2][2] = settings.parm("StringFlav:mesonCL1S0J1");
  mesonRate[3][2] = settings.parm("StringFlav:mesonBL1S0J1");
  mesonRate[0][3] = settings.parm("StringFlav:mesonUDL1S1J0");
  mesonRate[1][3] = settings.parm("StringFlav:mesonSL1S1J0");
  mesonRate[2][3] = settings.parm("StringFlav:mesonCL1S1J0");
  mesonRate[3][3] = settings.parm("StringFlav:mesonBL1S1J0");
  mesonRate[0][4] = settings.parm("StringFlav:mesonUDL1S1J1");
  mesonRate[1][4] = settings.parm("StringFlav:mesonSL1S1J1");
  mesonRate[2][4] = settings.parm("StringFlav:mesonCL1S1J1");
  mesonRate[3][4] = settings.parm("StringFlav:mesonBL1S1J1");
  mesonRate[0][5] = settings.parm("StringFlav:mesonUDL1S1J2");
  mesonRate[1][5] = settings.parm("StringFlav:mesonSL1S1J2");
  mesonRate[2][5] = settings.parm("StringFlav:mesonCL1S1J2");
  mesonRate[3][5] = settings.parm("StringFlav:mesonBL1S1J2");

  // Store sum over multiplets for Monte Carlo generation.
  for (int i = 0; i < 4; ++i) mesonRateSum[i]
    = mesonRate[i][0] + mesonRate[i][1] + mesonRate[i][2]
    + mesonRate[i][3] + mesonRate[i][4] + mesonRate[i][5];

  // Parameters for uubar - ddbar - ssbar meson mixing.
  for (int spin = 0; spin < 6; ++spin) {
    double theta;
    if      (spin == 0) theta = settings.parm("StringFlav:thetaPS");
    else if (spin == 1) theta = settings.parm("StringFlav:thetaV");
    else if (spin == 2) theta = settings.parm("StringFlav:thetaL1S0J1");
    else if (spin == 3) theta = settings.parm("StringFlav:thetaL1S1J0");
    else if (spin == 4) theta = settings.parm("StringFlav:thetaL1S1J1");
    else                theta = settings.parm("StringFlav:thetaL1S1J2");
    double alpha = (spin == 0) ? 90. - (theta + 54.7) : theta + 54.7;
    alpha *= M_PI / 180.;
    // Fill in (flavour, spin)-dependent probability of producing
    // the lightest or the lightest two mesons of the nonet.
    mesonMix1[0][spin] = 0.5;
    mesonMix2[0][spin] = 0.5 * (1. + pow2(sin(alpha)));
    mesonMix1[1][spin] = 0.;
    mesonMix2[1][spin] = pow2(cos(alpha));
  }

  // Additional suppression of eta and etaPrime.
  etaSup      = settings.parm("StringFlav:etaSup");
  etaPrimeSup = settings.parm("StringFlav:etaPrimeSup");

  // Sum of baryon octet and decuplet weights.
  decupletSup = settings.parm("StringFlav:decupletSup");
  for (int i = 0; i < 6; ++i) baryonCGSum[i]
    = baryonCGOct[i] + decupletSup * baryonCGDec[i];

  // Maximum SU(6) weight for ud0, ud1, uu1 types.
  baryonCGMax[0] = max( baryonCGSum[0], baryonCGSum[1]);
  baryonCGMax[1] = baryonCGMax[0];
  baryonCGMax[2] = max( baryonCGSum[2], baryonCGSum[3]);
  baryonCGMax[3] = baryonCGMax[2];
  baryonCGMax[4] = max( baryonCGSum[4], baryonCGSum[5]);
  baryonCGMax[5] = baryonCGMax[4];

  // Popcorn baryon parameters.
  popcornRate    = settings.parm("StringFlav:popcornRate");
  popcornSpair   = settings.parm("StringFlav:popcornSpair");
  popcornSmeson  = settings.parm("StringFlav:popcornSmeson");
  
  // Suppression of leading (= first-rank) baryons.
  suppressLeadingB = settings.flag("StringFlav:suppressLeadingB");
  lightLeadingBSup = settings.parm("StringFlav:lightLeadingBSup");
  heavyLeadingBSup = settings.parm("StringFlav:heavyLeadingBSup");

  // Begin calculation of derived parameters for baryon production.

  // Enumerate distinguishable diquark types (in diquark first is popcorn q).
  enum Diquark {ud0, ud1, uu1, us0, su0, us1, su1, ss1};

  // Maximum SU(6) weight by diquark type.
  double barCGMax[8];
  barCGMax[ud0] = baryonCGMax[0];
  barCGMax[ud1] = baryonCGMax[4];
  barCGMax[uu1] = baryonCGMax[2];
  barCGMax[us0] = baryonCGMax[0];
  barCGMax[su0] = baryonCGMax[0];
  barCGMax[us1] = baryonCGMax[4];
  barCGMax[su1] = baryonCGMax[4];
  barCGMax[ss1] = baryonCGMax[2];

  // Diquark SU(6) survival = Sum_quark (quark tunnel weight) * SU(6).
  double dMB[8];
  dMB[ud0] = 2. * baryonCGSum[0] + probStoUD * baryonCGSum[1];
  dMB[ud1] = 2. * baryonCGSum[4] + probStoUD * baryonCGSum[5];
  dMB[uu1] = baryonCGSum[2] + (1. + probStoUD) * baryonCGSum[3];
  dMB[us0] = (1. + probStoUD) * baryonCGSum[0] + baryonCGSum[1];
  dMB[su0] = dMB[us0];
  dMB[us1] = (1. + probStoUD) * baryonCGSum[4] + baryonCGSum[5];
  dMB[su1] = dMB[us1];
  dMB[ss1] = probStoUD * baryonCGSum[2] + 2. * baryonCGSum[3];
  for (int i = 1; i < 8; ++i) dMB[i] = dMB[i] / dMB[0];

  // Tunneling factors for diquark production; only half a pair = sqrt.
  double probStoUDroot    = sqrt(probStoUD);
  double probSQtoQQroot   = sqrt(probSQtoQQ);
  double probQQ1toQQ0root = sqrt(probQQ1toQQ0);
  double qBB[8];
  qBB[ud1] = probQQ1toQQ0root;
  qBB[uu1] = probQQ1toQQ0root;
  qBB[us0] = probSQtoQQroot;
  qBB[su0] = probStoUDroot * probSQtoQQroot;
  qBB[us1] = probQQ1toQQ0root * qBB[us0];
  qBB[su1] = probQQ1toQQ0root * qBB[su0];
  qBB[ss1] = probStoUDroot * pow2(probSQtoQQroot) * probQQ1toQQ0root;

  // spin * (vertex factor) * (half-tunneling factor above).
  double qBM[8];
  qBM[ud1] = 3. * qBB[ud1];
  qBM[uu1] = 6. * qBB[uu1];
  qBM[us0] = probStoUD * qBB[us0];
  qBM[su0] = qBB[su0];
  qBM[us1] = probStoUD * 3. * qBB[us1];
  qBM[su1] = 3. * qBB[su1];
  qBM[ss1] = probStoUD * 6. * qBB[ss1];

  // Combine above two into total diquark weight for q -> B Bbar.
  for (int i = 1; i < 8; ++i) qBB[i] = qBB[i] * qBM[i];

  // Suppression from having strange popcorn meson.
  qBM[us0] *= popcornSmeson;
  qBM[us1] *= popcornSmeson;
  qBM[ss1] *= popcornSmeson;

  // Suppression for a heavy quark of a diquark to fit into a baryon
  // on the other side of popcorn meson: (0) s/u for q -> B M;
  // (1) s/u for rank 0 diquark su -> M B; (2) ditto for s -> c/b.
  double uNorm = 1. + qBM[ud1] + qBM[uu1] + qBM[us0] + qBM[us1];
  scbBM[0] = (2. * (qBM[su0] + qBM[su1]) + qBM[ss1]) / uNorm;
  scbBM[1] = scbBM[0] * popcornSpair * qBM[su0] / qBM[us0];
  scbBM[2] = (1. + qBM[ud1]) * (2. + qBM[us0]) / uNorm;

  // Include maximum of Clebsch-Gordan coefficients.
  for (int i = 1; i < 8; ++i) dMB[i] *= qBM[i];
  for (int i = 1; i < 8; ++i) qBM[i] *= barCGMax[i] / barCGMax[0];
  for (int i = 1; i < 8; ++i) qBB[i] *= barCGMax[i] / barCGMax[0];

  // Popcorn fraction for normal diquark production.
  double qNorm = uNorm * popcornRate / 3.;
  double sNorm = scbBM[0] * popcornSpair;
  popFrac = qNorm * (1. + qBM[ud1] + qBM[uu1] + qBM[us0] + qBM[us1]
    + sNorm * (qBM[su0] + qBM[su1] + 0.5 * qBM[ss1])) / (1. +  qBB[ud1]
    + qBB[uu1] + 2. * (qBB[us0] + qBB[us1]) + 0.5 * qBB[ss1]);

  // Popcorn fraction for rank 0 diquarks, depending on number of s quarks.
  popS[0] = qNorm * qBM[ud1] / qBB[ud1];
  popS[1] = qNorm * 0.5 * (qBM[us1] / qBB[us1]
    + sNorm * qBM[su1] / qBB[su1]);
  popS[2] = qNorm * sNorm * qBM[ss1] / qBB[ss1];

  // Recombine diquark weights to flavour and spin ratios. Second index:
  // 0 = s/u popcorn quark ratio.
  // 1, 2 = s/u ratio for vertex quark if popcorn quark is u/d or s.
  // 3 = q/q' vertex quark ratio if popcorn quark is light and = q.
  // 4, 5, 6 = (spin 1)/(spin 0) ratio for su, us and ud.

  // Case 0: q -> B B.
  dWT[0][0] = (2. * (qBB[su0] + qBB[su1]) + qBB[ss1])
    / (1. + qBB[ud1] + qBB[uu1] + qBB[us0] + qBB[us1]);
  dWT[0][1] = 2. * (qBB[us0] + qBB[us1]) / (1. + qBB[ud1] + qBB[uu1]);
  dWT[0][2] = qBB[ss1] / (qBB[su0] + qBB[su1]);
  dWT[0][3] = qBB[uu1] / (1. + qBB[ud1] + qBB[uu1]);
  dWT[0][4] = qBB[su1] / qBB[su0];
  dWT[0][5] = qBB[us1] / qBB[us0];
  dWT[0][6] = qBB[ud1];

  // Case 1: q -> B M B.
  dWT[1][0] = (2. * (qBM[su0] + qBM[su1]) + qBM[ss1])
    / (1. + qBM[ud1] + qBM[uu1] + qBM[us0] + qBM[us1]);
  dWT[1][1] = 2. * (qBM[us0] + qBM[us1]) / (1. + qBM[ud1] + qBM[uu1]);
  dWT[1][2] = qBM[ss1] / (qBM[su0] + qBM[su1]);
  dWT[1][3] = qBM[uu1] / (1. + qBM[ud1] + qBM[uu1]);
  dWT[1][4] = qBM[su1] / qBM[su0];
  dWT[1][5] = qBM[us1] / qBM[us0];
  dWT[1][6] = qBM[ud1];
  
  // Case 2: qq -> M B; diquark inside chain.
  dWT[2][0] = (2. * (dMB[su0] + dMB[su1]) + dMB[ss1])
    / (1. + dMB[ud1] + dMB[uu1] + dMB[us0] + dMB[us1]);
  dWT[2][1] = 2. * (dMB[us0] + dMB[us1]) / (1. + dMB[ud1] + dMB[uu1]);
  dWT[2][2] = dMB[ss1] / (dMB[su0] + dMB[su1]);
  dWT[2][3] = dMB[uu1] / (1. + dMB[ud1] + dMB[uu1]);
  dWT[2][4] = dMB[su1] / dMB[su0];
  dWT[2][5] = dMB[us1] / dMB[us0];
  dWT[2][6] = dMB[ud1];

}

//--------------------------------------------------------------------------

// Pick a new flavour (including diquarks) given an incoming one.

FlavContainer StringFlav::pick(FlavContainer& flavOld) {

  // Initial values for new flavour.
  FlavContainer flavNew;
  flavNew.rank = flavOld.rank + 1;

  // For original diquark assign popcorn quark and whether popcorn meson.
  int idOld = abs(flavOld.id);
  if (flavOld.rank == 0 && idOld > 1000) assignPopQ(flavOld);

  // Diquark exists, to be forced into baryon now.
  bool doOldBaryon    = (idOld > 1000 && flavOld.nPop == 0);
  // Diquark exists, but do meson now.
  bool doPopcornMeson = flavOld.nPop > 0;
  // Newly created diquark gives baryon now, antibaryon later.
  bool doNewBaryon    = false;

  // Choose whether to generate a new meson or a new baryon.
  if (!doOldBaryon && !doPopcornMeson && probQandQQ * rndmPtr->flat() > 1.) {
    doNewBaryon = true;
    if ((1. + popFrac) * rndmPtr->flat() > 1.) flavNew.nPop = 1;
  }

  // Optional suppression of first-rank baryon.
  if (flavOld.rank == 0 && doNewBaryon && suppressLeadingB) {
    double leadingBSup = (idOld < 4) ? lightLeadingBSup : heavyLeadingBSup;
    if (rndmPtr->flat() > leadingBSup) {
      doNewBaryon = false;
      flavNew.nPop = 0;
    }
  }

  // Single quark for new meson or for baryon where diquark already exists.
  if (!doPopcornMeson && !doNewBaryon) {
    flavNew.id = pickLightQ();
    if ( (flavOld.id > 0 && flavOld.id < 9) || flavOld.id < -1000 )
      flavNew.id = -flavNew.id;

    // Done for simple-quark case.
    return flavNew;
  }

  // Case: 0 = q -> B B, 1 = q -> B M B, 2 = qq -> M B.
  int iCase = flavNew.nPop;
  if (flavOld.nPop == 1) iCase = 2;

  // Flavour of popcorn quark (= q shared between B and Bbar).
  if (doNewBaryon) {
    double sPopWT = dWT[iCase][0];
    if (iCase == 1) sPopWT *= scbBM[0] * popcornSpair;
    double rndmFlav = (2. + sPopWT) * rndmPtr->flat();
    flavNew.idPop = 1;
    if (rndmFlav > 1.) flavNew.idPop = 2;
    if (rndmFlav > 2.) flavNew.idPop = 3;
  } else flavNew.idPop = flavOld.idPop;
  
  // Flavour of vertex quark.
  double sVtxWT = dWT[iCase][1];
  if (flavNew.idPop >= 3) sVtxWT = dWT[iCase][2];
  if (flavNew.idPop > 3) sVtxWT *= 0.5 * (1. + 1./dWT[iCase][4]);
  double rndmFlav = (2. + sVtxWT) * rndmPtr->flat();
  flavNew.idVtx = 1;
  if (rndmFlav > 1.) flavNew.idVtx = 2;
  if (rndmFlav > 2.) flavNew.idVtx = 3;

  // Special case for light flavours, possibly identical.
  if (flavNew.idPop < 3 && flavNew.idVtx < 3) {
    flavNew.idVtx = flavNew.idPop;
    if (rndmPtr->flat() > dWT[iCase][3]) flavNew.idVtx = 3 - flavNew.idPop;
  }

  // Pick 2 * spin + 1.
  int spin = 3;
  if (flavNew.idVtx != flavNew.idPop) {
    double spinWT = dWT[iCase][6];
    if (flavNew.idVtx == 3) spinWT = dWT[iCase][5];
    if (flavNew.idPop >= 3) spinWT = dWT[iCase][4];
    if ((1. + spinWT) * rndmPtr->flat() < 1.) spin = 1;
  }

  // Form outgoing diquark. Done.
  flavNew.id = 1000 * max(flavNew.idVtx, flavNew.idPop)
    + 100 * min(flavNew.idVtx, flavNew.idPop) + spin;
  if ( (flavOld.id < 0 && flavOld.id > -9) || flavOld.id > 1000 )
    flavNew.id = -flavNew.id;
  return flavNew;

}

//--------------------------------------------------------------------------

// Combine two flavours (including diquarks) to produce a hadron.
// The weighting of the combination may fail, giving output 0.

int StringFlav::combine(FlavContainer& flav1, FlavContainer& flav2) {

  // Recognize largest and smallest flavour.
  int id1Abs = abs(flav1.id);
  int id2Abs = abs(flav2.id);
  int idMax = max(id1Abs, id2Abs);
  int idMin = min(id1Abs, id2Abs);
 
  // Construct a meson.
  if (idMax < 9 || idMin > 1000) {

    // Popcorn meson: use only vertex quarks. Fail if none.
    if (idMin > 1000) {
      id1Abs = flav1.idVtx;
      id2Abs = flav2.idVtx;
      idMax = max(id1Abs, id2Abs);
      idMin = min(id1Abs, id2Abs);
      if (idMin == 0) return 0;
    }

    // Pick spin state and preliminary code.
    int flav = (idMax < 3) ? 0 : idMax - 2;
    double rndmSpin = mesonRateSum[flav] * rndmPtr->flat();
    int spin = -1;
    do rndmSpin -= mesonRate[flav][++spin];
    while (rndmSpin > 0.);
    int idMeson = 100 * idMax + 10 * idMin + mesonMultipletCode[spin];

    // For nondiagonal mesons distinguish particle/antiparticle.
    if (idMax != idMin) {
      int sign = (idMax%2 == 0) ? 1 : -1;
      if ( (idMax == id1Abs && flav1.id < 0)
        || (idMax == id2Abs && flav2.id < 0) ) sign = -sign;
      idMeson *= sign;

    // For light diagonal mesons include uubar - ddbar - ssbar mixing.
    } else if (flav < 2) {
      double rMix = rndmPtr->flat();
      if      (rMix < mesonMix1[flav][spin]) idMeson = 110;
      else if (rMix < mesonMix2[flav][spin]) idMeson = 220;
      else                                   idMeson = 330;
      idMeson += mesonMultipletCode[spin];

      // Additional suppression of eta and eta' may give failure.
      if (idMeson == 221 && etaSup < rndmPtr->flat()) return 0;
      if (idMeson == 331 && etaPrimeSup < rndmPtr->flat()) return 0;
    }

    // Finished for mesons.
    return idMeson;
  }

  // SU(6) factors for baryon production may give failure.
  int idQQ1 = idMax / 1000;
  int idQQ2 = (idMax / 100) % 10;
  int spinQQ = idMax % 10;
  int spinFlav = spinQQ - 1;
  if (spinFlav == 2 && idQQ1 != idQQ2) spinFlav = 4;
  if (idMin != idQQ1 && idMin != idQQ2) spinFlav++;
  if (baryonCGSum[spinFlav] < rndmPtr->flat() * baryonCGMax[spinFlav])
    return 0;

  // Order quarks to form baryon. Pick spin.
  int idOrd1 = max( idMin, max( idQQ1, idQQ2) );
  int idOrd3 = min( idMin, min( idQQ1, idQQ2) );
  int idOrd2 = idMin + idQQ1 + idQQ2 - idOrd1 - idOrd3;
  int spinBar = (baryonCGSum[spinFlav] * rndmPtr->flat()
    < baryonCGOct[spinFlav]) ? 2 : 4;
  
  // Distinguish Lambda- and Sigma-like.
  bool LambdaLike = false;
  if (spinBar == 2 && idOrd1 > idOrd2 && idOrd2 > idOrd3) {
    LambdaLike = (spinQQ == 1);
    if (idOrd1 != idMin && spinQQ == 1) LambdaLike = (rndmPtr->flat() < 0.25);
    else if (idOrd1 != idMin)           LambdaLike = (rndmPtr->flat() < 0.75);
  }

  // Form baryon code and return with sign.
  int idBaryon = (LambdaLike)
    ? 1000 * idOrd1 + 100 * idOrd3 + 10 * idOrd2 + spinBar
    : 1000 * idOrd1 + 100 * idOrd2 + 10 * idOrd3 + spinBar;
   return (flav1.id > 0) ? idBaryon : -idBaryon;

}

//--------------------------------------------------------------------------

// Assign popcorn quark inside an original (= rank 0) diquark.

void StringFlav::assignPopQ(FlavContainer& flav) {

  // Safety check that intended to do something.
  int idAbs = abs(flav.id);
  if (flav.rank > 0 || idAbs < 1000) return;

  // Make choice of popcorn quark.
  int id1 = (idAbs/1000)%10;
  int id2 = (idAbs/100)%10;
  double pop2WT = 1.;
       if (id1 == 3) pop2WT = scbBM[1];
  else if (id1 >  3) pop2WT = scbBM[2];
       if (id2 == 3) pop2WT /= scbBM[1];
  else if (id2 >  3) pop2WT /= scbBM[2];
  // Agrees with Patrik code, but opposite to intention??
  flav.idPop = ((1. + pop2WT) * rndmPtr->flat() > 1.) ? id2 : id1;
  flav.idVtx = id1 + id2 - flav.idPop;

  // Also determine if to produce popcorn meson.
  flav.nPop = 0;
  double popWT = popS[0];
  if (id1 == 3) popWT = popS[1];
  if (id2 == 3) popWT = popS[2];
  if (idAbs%10 == 1) popWT *= sqrt(probQQ1toQQ0);
  if ((1. + popWT) * rndmPtr->flat() > 1.) flav.nPop = 1;
  
}

//--------------------------------------------------------------------------

// Combine two quarks to produce a diquark.
// Normally according to production composition, but nonvanishing idHad
// means diquark from known hadron content, so use SU(6) wave fucntion.

int StringFlav::makeDiquark(int id1, int id2, int idHad) {

  // Initial values.
  int idMin = min( abs(id1), abs(id2));
  int idMax = max( abs(id1), abs(id2));
  int spin = 1;

  // Select spin of diquark formed from two valence quarks in proton.
  // (More hadron cases??)
  if (abs(idHad) == 2212 || abs(idHad) == 2112) {
    if (idMin == 1 && idMax == 2 && rndmPtr->flat() < 0.75) spin = 0;

  // Else select spin of diquark according to assumed spin-1 suppression.
  } else if (idMin != idMax) {
    if (rndmPtr->flat() > probQQ1join[min(idMax,5) - 2]) spin = 0;
  }

  // Combined diquark code.
  int idNewAbs = 1000 * idMax + 100 * idMin + 2 * spin + 1;
  return (id1 > 0) ? idNewAbs : -idNewAbs;

}
 
//==========================================================================

// The StringZ class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// When a or c are close to special cases, default to these.
const double StringZ::CFROMUNITY = 0.01;
const double StringZ::AFROMZERO  = 0.02;
const double StringZ::AFROMC     = 0.01;

// Do not take exponent of too large or small number.
const double StringZ::EXPMAX     = 50.;

//--------------------------------------------------------------------------

// Initialize data members of the string z selection.

void StringZ::init(Settings& settings, ParticleData& particleData,
  Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr       = rndmPtrIn;

  // c and b quark masses.
  mc2           = pow2( particleData.m0(4));
  mb2           = pow2( particleData.m0(5));

  // Paramaters of Lund/Bowler symmetric fragmentation function.
  aLund         = settings.parm("StringZ:aLund");
  bLund         = settings.parm("StringZ:bLund");
  aExtraSQuark  = settings.parm("StringZ:aExtraSQuark");
  aExtraDiquark = settings.parm("StringZ:aExtraDiquark");
  rFactC        = settings.parm("StringZ:rFactC");
  rFactB        = settings.parm("StringZ:rFactB");
  rFactH        = settings.parm("StringZ:rFactH");

  // Flags and parameters of nonstandard Lund fragmentation functions.
  useNonStandC  = settings.flag("StringZ:useNonstandardC");
  useNonStandB  = settings.flag("StringZ:useNonstandardB");
  useNonStandH  = settings.flag("StringZ:useNonstandardH");
  aNonC         = settings.parm("StringZ:aNonstandardC");
  aNonB         = settings.parm("StringZ:aNonstandardB");
  aNonH         = settings.parm("StringZ:aNonstandardH");
  bNonC         = settings.parm("StringZ:bNonstandardC");
  bNonB         = settings.parm("StringZ:bNonstandardB");
  bNonH         = settings.parm("StringZ:bNonstandardH");

  // Flags and parameters of Peterson/SLAC fragmentation function.
  usePetersonC  = settings.flag("StringZ:usePetersonC");
  usePetersonB  = settings.flag("StringZ:usePetersonB");
  usePetersonH  = settings.flag("StringZ:usePetersonH");
  epsilonC      = settings.parm("StringZ:epsilonC");
  epsilonB      = settings.parm("StringZ:epsilonB");
  epsilonH      = settings.parm("StringZ:epsilonH");

  // Parameters for joining procedure.
  stopM         = settings.parm("StringFragmentation:stopMass");
  stopNF        = settings.parm("StringFragmentation:stopNewFlav");
  stopS         = settings.parm("StringFragmentation:stopSmear");

}

//--------------------------------------------------------------------------

// Generate the fraction z that the next hadron will take,
// using either Lund/Bowler or, for heavy, Peterson/SLAC functions.
// Note: for a heavy new coloured particle we assume pT negligible.

double StringZ::zFrag( int idOld, int idNew, double mT2) {

  // Find if old or new flavours correspond to diquarks.
  int idOldAbs = abs(idOld);
  int idNewAbs = abs(idNew);
  bool isOldSQuark = (idOldAbs == 3);
  bool isNewSQuark = (idNewAbs == 3);
  bool isOldDiquark = (idOldAbs > 1000 && idOldAbs < 10000);
  bool isNewDiquark = (idNewAbs > 1000 && idNewAbs < 10000);

  // Find heaviest quark in fragmenting parton/diquark.
  int idFrag = idOldAbs;
  if (isOldDiquark) idFrag = max( idOldAbs / 1000, (idOldAbs / 100) % 10);
  
  // Use Peterson where explicitly requested for heavy flavours.
  if (idFrag == 4 && usePetersonC) return zPeterson( epsilonC);
  if (idFrag == 5 && usePetersonB) return zPeterson( epsilonB);
  if (idFrag >  5 && usePetersonH) {
    double epsilon = epsilonH * mb2 / mT2;
    return zPeterson( epsilon);
  }

  // Nonstandard a and b values implemented for heavy flavours.
  double aNow = aLund;
  double bNow = bLund;
  if (idFrag == 4 && useNonStandC) {
    aNow = aNonC;
    bNow = bNonC;
  } else if (idFrag == 5 && useNonStandB) {
    aNow = aNonB;
    bNow = bNonB;
  } else if (idFrag >  5 && useNonStandH) {
    aNow = aNonH;
    bNow = bNonH;
  }

  // Shape parameters of Lund symmetric fragmentation function.
  double aShape = aNow;
  if (isOldSQuark)  aShape += aExtraSQuark;
  if (isOldDiquark) aShape += aExtraDiquark;
  double bShape = bNow * mT2;
  double cShape = 1.;
  if (isOldSQuark)  cShape -= aExtraSQuark;
  if (isNewSQuark)  cShape += aExtraSQuark;
  if (isOldDiquark) cShape -= aExtraDiquark;
  if (isNewDiquark) cShape += aExtraDiquark;
  if (idFrag == 4) cShape += rFactC * bNow * mc2;
  if (idFrag == 5) cShape += rFactB * bNow * mb2;
  if (idFrag >  5) cShape += rFactH * bNow * mT2;
  return zLund( aShape, bShape, cShape);

}

//--------------------------------------------------------------------------

// Generate a random z according to the Lund/Bowler symmetric
// fragmentation function f(z) = (1 -z)^a * exp(-b/z) / z^c.
// Normalized so that f(z_max) = 1  it can also be written as
// f(z) = exp( a * ln( (1 - z) / (1 - z_max) ) + b * (1/z_max - 1/z)
//           + c * ln(z_max/z) ).

double StringZ::zLund( double a, double b, double c) {

  // Special cases for c = 1, a = 0 and a = c.
  bool cIsUnity = (abs( c - 1.) < CFROMUNITY);
  bool aIsZero = (a < AFROMZERO);
  bool aIsC = (abs(a - c) < AFROMC);

  // Determine position of maximum.
  double zMax;
  if (aIsZero) zMax = (c > b) ? b / c : 1.;
  else if (aIsC) zMax = b / (b + c);
  else { zMax = 0.5 * (b + c - sqrt( pow2(b - c) + 4. * a * b)) / (c - a);
         if (zMax > 0.9999 && b > 100.) zMax = min(zMax, 1. - a / b); }
        
  // Subdivide z range if distribution very peaked near either endpoint.
  bool peakedNearZero = (zMax < 0.1);
  bool peakedNearUnity = (zMax > 0.85 && b > 1.);

  // Find integral of trial function everywhere bigger than f.
  // (Dummy start values.)
  double fIntLow = 1.;
  double fIntHigh = 1.;
  double fInt = 2.;
  double zDiv = 0.5;
  double zDivC = 0.5;
  // When z_max is small use that f(z)
  //   < 1     for z < z_div = 2.75 * z_max,
  //   < (z_div/z)^c for z > z_div (=> logarithm for c = 1, else power).
  if (peakedNearZero) {
    zDiv = 2.75 * zMax;
    fIntLow = zDiv;
    if (cIsUnity) fIntHigh = -zDiv * log(zDiv);
    else { zDivC = pow( zDiv, 1. - c);
           fIntHigh = zDiv * (1. - 1./zDivC) / (c - 1.);}
    fInt = fIntLow + fIntHigh;
  // When z_max large use that f(z)
  //   < exp( b * (z - z_div) ) for z < z_div with z_div messy expression,
  //   < 1   for z > z_div.
  // To simplify expressions the integral is extended to z =  -infinity.
  } else if (peakedNearUnity) {
    double rcb = sqrt(4. + pow2(c / b));
    zDiv = rcb - 1./zMax - (c / b) * log( zMax * 0.5 * (rcb + c / b) );
    if (!aIsZero) zDiv += (a/b) * log(1. - zMax);
    zDiv = min( zMax, max(0., zDiv));
    fIntLow = 1. / b;
    fIntHigh = 1. - zDiv;
    fInt = fIntLow + fIntHigh;
  }

  // Choice of z, preweighted for peaks at low or high z. (Dummy start values.)
  double z = 0.5;
  double fPrel = 1.;
  double fVal = 1.;
  do {
    // Choice of z flat good enough for distribution peaked in the middle;
    // if not this z can be reused as a random number in general.
    z = rndmPtr->flat();
    fPrel = 1.;
    // When z_max small use flat below z_div and 1/z^c above z_div.
    if (peakedNearZero) {
      if (fInt * rndmPtr->flat() < fIntLow) z = zDiv * z;
      else if (cIsUnity) {z = pow( zDiv, z); fPrel = zDiv / z;}
      else { z = pow( zDivC + (1. - zDivC) * z, 1. / (1. - c) );
             fPrel = pow( zDiv / z, c); }
    // When z_max large use exp( b * (z -z_div) ) below z_div
    // and flat above it.
    } else if (peakedNearUnity) {
      if (fInt * rndmPtr->flat() < fIntLow) {
        z = zDiv + log(z) / b;
        fPrel = exp( b * (z - zDiv) );
      } else z = zDiv + (1. - zDiv) * z;
    }

    // Evaluate actual f(z) (if in physical range) and correct.
    if (z > 0 && z < 1) {
      double fExp = b * (1. / zMax - 1. / z)+ c * log(zMax / z);
      if (!aIsZero) fExp += a * log( (1. - z) / (1. - zMax) );
      fVal = exp( max( -EXPMAX, min( EXPMAX, fExp) ) ) ;
    } else fVal = 0.;
  } while (fVal < rndmPtr->flat() * fPrel);

  // Done.
  return z;

}

//--------------------------------------------------------------------------

// Generate a random z according to the Peterson/SLAC formula
// f(z) = 1 / ( z * (1 - 1/z - epsilon/(1-z))^2 )
//      = z * (1-z)^2 / ((1-z)^2 + epsilon * z)^2.

double StringZ::zPeterson( double epsilon) {

  double z, fVal;

  // For large epsilon pick z flat and reject,
  // knowing that 4 * epsilon * f(z) < 1 everywhere.
  if (epsilon > 0.01) {
    do {
      z = rndmPtr->flat();
      fVal = 4. * epsilon * z * pow2(1. - z)
        / pow2( pow2(1. - z) + epsilon * z);
    } while (fVal < rndmPtr->flat());
    return z;
  }
  
  // Else split range, using that 4 * epsilon * f(z)
  //   < 4 * epsilon / (1 - z)^2 for 0 < z < 1 - 2 * sqrt(epsilon)
  //   < 1                       for 1 - 2 * sqrt(epsilon) < z < 1
  double epsRoot = sqrt(epsilon);
  double epsComb = 0.5 / epsRoot - 1.;
  double fIntLow = 4. * epsilon * epsComb;
  double fInt = fIntLow + 2. * epsRoot;
  do {
    if (rndmPtr->flat() * fInt < fIntLow) {
      z = 1. - 1. / (1. + rndmPtr->flat() * epsComb);
      fVal = z * pow2( pow2(1. - z) / (pow2(1. - z) + epsilon * z) );
    } else {
      z = 1. - 2. * epsRoot * rndmPtr->flat();
      fVal = 4. * epsilon * z * pow2(1. - z)
        / pow2( pow2(1. - z) + epsilon * z);
    }
  } while (fVal < rndmPtr->flat());
  return z;

}
 
//==========================================================================

// The StringPT class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// To avoid division by zero one must have sigma > 0.
const double StringPT::SIGMAMIN     = 0.2;

//--------------------------------------------------------------------------

// Initialize data members of the string pT selection.

void StringPT::init(Settings& settings,  ParticleData& , Rndm* rndmPtrIn) {

  // Save pointer.
  rndmPtr        = rndmPtrIn;

  // Parameters of the pT width and enhancement.
  double sigma     = settings.parm("StringPT:sigma");
  sigmaQ           = sigma / sqrt(2.);
  enhancedFraction = settings.parm("StringPT:enhancedFraction");
  enhancedWidth    = settings.parm("StringPT:enhancedWidth");

  // Parameter for pT suppression in MiniStringFragmentation.
  sigma2Had        = 2. * pow2( max( SIGMAMIN, sigma) );
  
}

//--------------------------------------------------------------------------

// Generate Gaussian pT such that  =  = sigma^2 = width^2/2,
// but with small fraction multiplied up to a broader spectrum.

pair StringPT::pxy() {

  double sigma = sigmaQ;
  if (rndmPtr->flat() < enhancedFraction) sigma *= enhancedWidth;
  pair gauss2 = rndmPtr->gauss2();
  return pair(sigma * gauss2.first, sigma * gauss2.second);

}
  
//==========================================================================

} // end namespace Pythia8
pythia8-8.1.86.orig/src/SusyCouplings.cc0000644000175000017500000012412512357054765016307 0ustar  sunsun// SusyCouplings.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// Main authors of this file: N. Desai, P. Skands
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Function definitions (not found in the header) for the
// supersymmetric couplings class.

#include "Pythia8/ParticleData.h"
#include "Pythia8/SusyCouplings.h"

namespace Pythia8 {

//==========================================================================

// The CoupSUSY class.

//--------------------------------------------------------------------------

// Constants: could be changed here if desired, but normally should not.
// These are of technical nature, as described for each.

// Allow verbose printout for debug purposes.
  const bool CoupSUSY::DBSUSY = false;

//--------------------------------------------------------------------------

// Initialize SM+SUSY couplings (only performed once).

void CoupSUSY::initSUSY (SusyLesHouches* slhaPtrIn, Info* infoPtrIn,
    ParticleData* particleDataPtrIn, Settings* settingsPtrIn) {

  // Save pointers.
  infoPtr         = infoPtrIn;
  slhaPtr         = slhaPtrIn;
  settingsPtr     = settingsPtrIn;
  particleDataPtr = particleDataPtrIn;
  
  // Only initialize SUSY parts if SUSY is actually switched on
  if (!slhaPtr->modsel.exists()) return;

  // Is NMSSM switched on?
  isNMSSM = (slhaPtr->modsel(3) != 1 ? false : true);
  settingsPtr->flag("SLHA:NMSSM",isNMSSM);
  int nNeut = (isNMSSM ? 5 : 4);
  int nChar = 2;

  // Initialize pole masses
  mZpole    = particleDataPtr->m0(23);
  wZpole    = particleDataPtr->mWidth(23);
  mWpole    = particleDataPtr->m0(24);
  wWpole    = particleDataPtr->mWidth(24);
  
  // Running masses and weak mixing angle
  // (default to pole values if no running available)
  mW        = mWpole;
  mZ        = mZpole;
  sin2W     = sin2thetaW();

  if (settingsPtr->mode("SUSY:sin2thetaWMode") == 3) {
    // Possibility to force on-shell sin2W definition, mostly intended for
    // cross-checks
    sin2W     = 1.0 - pow(mW/mZ,2);
  } else if (settingsPtr->mode("SUSY:sin2thetaWMode") == 2){
    // Possibility to use running sin2W definition, derived from gauge
    // couplings in running SLHA blocks (normally defined at SUSY scale)
    if(slhaPtr->gauge.exists(1) && slhaPtr->gauge.exists(2)
       && slhaPtr->hmix.exists(3)) {
      double gp=slhaPtr->gauge(1);
      double g =slhaPtr->gauge(2);
      double v =slhaPtr->hmix(3);
      mW      = g * v / 2.0;
      mZ      = sqrt(pow(gp,2)+pow(g,2)) * v / 2.0;
      //double tan2W   = pow2(gp)/pow2(g);
      //if (DBSUSY) cout << " tan2W = " << tan2W << endl;
      sin2W   = pow2(gp)/(pow2(g)+pow2(gp));
    } else {
      infoPtr->errorMsg("Warning in CoupSUSY::initSUSY: Block GAUGE"
        " not found or incomplete; using sin(thetaW) at mZ");
    }
  }

  // Overload the SM value of sin2thetaW
  s2tW = sin2W;

  sinW = sqrt(sin2W);
  cosW = sqrt(1.0-sin2W);

  // Tan(beta)
  // By default, use the running one in HMIX (if not found, use MINPAR)

  if(slhaPtr->hmix.exists(2))
    tanb = slhaPtr->hmix(2);
  else{
    tanb = slhaPtr->minpar(3);
    infoPtr->errorMsg("Warning in CoupSUSY::initSUSY: Block HMIX"
      " not found or incomplete; using MINPAR tan(beta)");
  }
  cosb = sqrt( 1.0 / (1.0 + tanb*tanb) );
  sinb = sqrt( max(0.0, 1.0 - cosb*cosb));

  double beta = acos(cosb);
  
  // Verbose output
  if (DBSUSY) {
    cout << " sin2W(Q) = " << sin2W << "  mW(Q) = " << mW
         << "  mZ(Q) = " << mZ << endl;
    cout << " vev(Q) = " << slhaPtr->hmix(3) << " tanb(Q) = " << tanb
         << endl;
    for (int i=1;i<=3;i++) {
      for (int j=1;j<=3;j++) {
        cout << " VCKM  [" << i << "][" << j << "] = "
             << scientific << setw(10) << VCKMgen(i,j) << endl;
      }
    }
  }
  
  // Higgs sector
  if(slhaPtr->alpha.exists()) {
    alphaHiggs = slhaPtr->alpha();
  }
  // If RPV, assume alpha = asin(RVHMIX(1,2)) (ignore Higgs-Sneutrino mixing)
  else if (slhaPtr->modsel(4) == 1) {
    alphaHiggs = asin(slhaPtr->rvhmix(1,2));
    infoPtr->errorMsg("Info from CoupSUSY::initSUSY:","Extracting angle"
      " alpha from RVHMIX", true);
  } else {
    infoPtr->errorMsg("Info from CoupSUSY::initSUSY:","Block ALPHA"
      " not found; using alpha = beta.", true);
    // Define approximate alpha by simple SM limit
    alphaHiggs = atan(tanb);
  }

  if(slhaPtr->hmix.exists(1) && slhaPtr->hmix.exists(4)){
    muHiggs = slhaPtr->hmix(1);
    mAHiggs = sqrt(slhaPtr->hmix(4));
  } else if (slhaPtr->rvamix.exists()){
    mAHiggs = particleDataPtr->m0(36);
    muHiggs = 0.0;
    infoPtr->errorMsg("Warning from CoupSUSY::initSUSY: Block HMIX"
      " not found or incomplete","; setting mu = 0.");
  } else{
    infoPtr->errorMsg("Warning from CoupSUSY::initSUSY: Block HMIX"
      " not found or incomplete","; setting mu = mA = 0.");
    muHiggs = 0.0;
    mAHiggs = 0.0;
  }

  // Pass SLHA input to 2HDM sector

  double sba = sin(beta-alphaHiggs);
  double cba = cos(beta-alphaHiggs);
  double cosa = cos(alphaHiggs);
  double sina = sin(alphaHiggs);

  // h0
  settingsPtr->parm("HiggsH1:coup2d", -sina/cosb);
  settingsPtr->parm("HiggsH1:coup2u",  cosa/sinb);
  settingsPtr->parm("HiggsH1:coup2l", cosa/sinb);
  settingsPtr->parm("HiggsH1:coup2Z", sba);
  settingsPtr->parm("HiggsH1:coup2W", sba);
  // H0
  settingsPtr->parm("HiggsH2:coup2d", cosa/cosb);
  settingsPtr->parm("HiggsH2:coup2u", sina/sinb);
  settingsPtr->parm("HiggsH2:coup2l", sina/sinb);
  settingsPtr->parm("HiggsH2:coup2Z", cba);
  settingsPtr->parm("HiggsH2:coup2W", cba);
  settingsPtr->parm("HiggsH2:coup2H1Z", 0.0);
  settingsPtr->parm("HiggsH2:coup2HchgW", sba);
  // A0
  settingsPtr->parm("HiggsA3:coup2d", tanb);
  settingsPtr->parm("HiggsA3:coup2u", cosb/sinb);
  settingsPtr->parm("HiggsA3:coup2l", cosb/sinb);
  settingsPtr->parm("HiggsA3:coup2Z", 0.0);
  settingsPtr->parm("HiggsA3:coup2W", 0.0);
  settingsPtr->parm("HiggsA3:coup2H1Z", cba);
  settingsPtr->parm("HiggsA3:coup2H2Z", sba);
  settingsPtr->parm("HiggsA3:coup2HchgW", 1.0);
  
  // H^+
  settingsPtr->parm("HiggsHchg:tanBeta", tanb);
  settingsPtr->parm("HiggsHchg:coup2H1W", cba);
  settingsPtr->parm("HiggsHchg:coup2H2W", sba);
  
  // Triple higgs couplings
  
  double cbpa = cos(beta+alphaHiggs);
  double sbpa = sin(beta+alphaHiggs);
  
  settingsPtr->parm("HiggsH1:coup2Hchg", cos(2*beta)*sbpa + 2*pow2(cosW)*sba);
  settingsPtr->parm("HiggsH2:coup2Hchg", -cos(2*beta)*cbpa + 2*pow2(cosW)*cba);
  settingsPtr->parm("HiggsH2:coup2H1H1", 2*sin(2*alphaHiggs)*sbpa
    - cos(2*alphaHiggs)*cbpa);
  settingsPtr->parm("HiggsH2:coup2A3A3", -cos(2*beta)*cbpa);
  settingsPtr->parm("HiggsH2:coup2A3H1", 0.0);
  settingsPtr->parm("HiggsA3:coup2H1H1", 0.0);
  settingsPtr->parm("HiggsA3:coup2Hchg", 0.0);
  
  // Shorthand for squark mixing matrices
  LHmatrixBlock<6> Ru(slhaPtr->usqmix);
  LHmatrixBlock<6> Rd(slhaPtr->dsqmix);
  LHmatrixBlock<6> imRu(slhaPtr->imusqmix);
  LHmatrixBlock<6> imRd(slhaPtr->imdsqmix);
  
  // Construct ~g couplings
  for (int i=1; i<=6; i++) {
    for (int j=1; j<=3; j++) {
      LsddG[i][j] = complex( Rd(i,j)  ,  imRd(i,j));
      RsddG[i][j] = complex(-Rd(i,j+3), -imRd(i,j+3));
      LsuuG[i][j] = complex( Ru(i,j)  ,  imRu(i,j));
      RsuuG[i][j] = complex(-Ru(i,j+3), -imRu(i,j+3));

      if (DBSUSY) {
        cout << " Lsddg  [" << i << "][" << j << "] = "
             << scientific << setw(10) << LsddG[i][j]
             << " RsddG  [" << i << "][" << j  << "] = "
             << scientific << setw(10) << RsddG[i][j] << endl;
        cout << " Lsuug  [" << i << "][" << j << "] = "
             << scientific << setw(10) << LsuuG[i][j]
             << " RsuuG  [" << i << "][" << j  << "] = "
             << scientific << setw(10) << RsuuG[i][j] << endl;
      }
    }
  }

  // Construct qqZ couplings
  for (int i=1 ; i<=6 ; i++) {
    
    // q[i] q[i] Z (def with extra factor 2 compared to [Okun])
    LqqZ[i] = af(i) - 2.0*ef(i)*sin2W ;
    RqqZ[i] =       - 2.0*ef(i)*sin2W ;

    // tmp: verbose output
    if (DBSUSY) {
      cout << " LqqZ  [" << i << "][" << i << "] = "
           << scientific << setw(10) << LqqZ[i]
           << " RqqZ  [" << i << "][" << i  << "] = "
           << scientific << setw(10) << RqqZ[i] << endl;
    }
  }

  // Construct ~q~qZ couplings
  for (int i=1 ; i<=6 ; i++) {

    // Squarks can have off-diagonal couplings as well
    for (int j=1 ; j<=6 ; j++) {
      
      // ~d[i] ~d[j] Z
      LsdsdZ[i][j] = 0.0;
      RsdsdZ[i][j] = 0.0;
      for (int k=1;k<=3;k++) {
        complex Rdik  = complex(Rd(i,k),  imRd(i,k)  );
        complex Rdjk  = complex(Rd(j,k),  imRd(j,k)  );
        complex Rdik3 = complex(Rd(i,k+3),imRd(i,k+3));
        complex Rdjk3 = complex(Rd(j,k+3),imRd(j,k+3));
        LsdsdZ[i][j] += LqqZ[1] * (Rdik*conj(Rdjk));
        RsdsdZ[i][j] += RqqZ[1] * (Rdik3*conj(Rdjk3));
      }
      
      // ~u[i] ~u[j] Z
      LsusuZ[i][j] = 0.0;
      RsusuZ[i][j] = 0.0;
      for (int k=1;k<=3;k++) {
        complex Ruik  = complex(Ru(i,k)  ,imRu(i,k)  );
        complex Rujk  = complex(Ru(j,k)  ,imRu(j,k)  );
        complex Ruik3 = complex(Ru(i,k+3),imRu(i,k+3));
        complex Rujk3 = complex(Ru(j,k+3),imRu(j,k+3));
        LsusuZ[i][j] += LqqZ[2] * (Ruik*conj(Rujk));
        RsusuZ[i][j] += RqqZ[2] * (Ruik3*conj(Rujk3));
      }
      
      // tmp: verbose output
      if (DBSUSY) {
        if (max(abs(LsdsdZ[i][j]),abs(RsdsdZ[i][j])) > 1e-6) {
          cout << " LsdsdZ[" << i << "][" << j << "] = "
               << scientific << setw(10) << LsdsdZ[i][j]
               << " RsdsdZ[" << i << "][" << j << "] = "
               << scientific << setw(10) << RsdsdZ[i][j] << endl;
        }
        if (max(abs(LsusuZ[i][j]),abs(RsusuZ[i][j]))> 1e-6) {
          cout << " LsusuZ[" << i << "][" << j << "] = "
               << scientific << setw(10) << LsusuZ[i][j]
               << " RsusuZ[" << i << "][" << j << "] = "
               << scientific << setw(10) << RsusuZ[i][j] << endl;
        }
      }
    }
  }

  LHmatrixBlock<6> Rsl(slhaPtr->selmix);
  LHmatrixBlock<3> Rsv(slhaPtr->snumix);
  
  // In RPV, the slepton mixing matrices include Higgs bosons
  // Here we just extract the entries corresponding to the slepton PDG codes
  // I.e., slepton-Higgs mixing is not supported.

  // Charged sleptons
  if (slhaPtr->modsel(4) >= 1 && slhaPtr->rvlmix.exists()) {
    for (int i=1; i<=6; ++i)
      for (int j=1; j<=6; ++j)
        Rsl.set(i,j,slhaPtr->rvlmix(i+1,j+2));
    // Check for Higgs-slepton mixing in RVLMIX
    bool hasCrossTerms = false;
    for (int i=2; i<=7; ++i)
      for (int j=1; j<=2; ++j)
        if (abs(slhaPtr->rvlmix(i,j)) > 1e-5) {
          hasCrossTerms = true;
          break;
        }
    if (hasCrossTerms)
      infoPtr->errorMsg("Warning from CoupSUSY::initSUSY: "
                        "slepton-Higgs mixing not supported in PYTHIA");
  }

  // Neutral sleptons
  if (slhaPtr->modsel(4) >= 1 && slhaPtr->rvhmix.exists()) {
    for (int i=1; i<=3; ++i)
      for (int j=1; j<=3; ++j)
        Rsv.set(i,j,slhaPtr->rvhmix(i+2,j+2));
    // Check for Higgs-sneutrino mixing in RVHMIX
    bool hasCrossTerms = false;
    for (int i=3; i<=7; ++i)
      for (int j=1; j<=2; ++j)
        if (abs(slhaPtr->rvhmix(i,j)) > 1e-5) {
          hasCrossTerms = true;
          break;
        }
    if (hasCrossTerms)
      infoPtr->errorMsg("Warning from CoupSUSY::initSUSY: "
                        "sneutrino-Higgs mixing not supported in PYTHIA");
  }

  if(DBSUSY){
    cout<<"Rsl"<modsel(4) >= 1 && slhaPtr->rvnmix.exists()) {
      ni1=complex( slhaPtr->rvnmix(i+3,4), 0.0 );
      ni2=complex( slhaPtr->rvnmix(i+3,5), 0.0 );
      ni3=complex( slhaPtr->rvnmix(i+3,6), 0.0 );
      ni4=complex( slhaPtr->rvnmix(i+3,7), 0.0 );
      ni5=complex( 0.0, 0.0);
    }
   else if (!isNMSSM) {
      ni1=complex( slhaPtr->nmix(i,1), slhaPtr->imnmix(i,1) );
      ni2=complex( slhaPtr->nmix(i,2), slhaPtr->imnmix(i,2) );
      ni3=complex( slhaPtr->nmix(i,3), slhaPtr->imnmix(i,3) );
      ni4=complex( slhaPtr->nmix(i,4), slhaPtr->imnmix(i,4) );
      ni5=complex( 0.0, 0.0);
    } else {
      ni1=complex( slhaPtr->nmnmix(i,1), slhaPtr->imnmnmix(i,1) );
      ni2=complex( slhaPtr->nmnmix(i,2), slhaPtr->imnmnmix(i,2) );
      ni3=complex( slhaPtr->nmnmix(i,3), slhaPtr->imnmnmix(i,3) );
      ni4=complex( slhaPtr->nmnmix(i,4), slhaPtr->imnmnmix(i,4) );
      ni5=complex( slhaPtr->nmnmix(i,5), slhaPtr->imnmnmix(i,5) );
    }
    
    // Change to positive mass convention
    complex iRot( 0., 1.);
    if (slhaPtr->mass(idNeut(i)) < 0.) {
      ni1 *= iRot;
      ni2 *= iRot;
      ni3 *= iRot;
      ni4 *= iRot;
      ni5 *= iRot;
    }
    
    // ~chi0 [i] ~chi0 [j] Z : loop over [j]
    for (int j=1; j<=nNeut; j++) {
      
      // neutralino [j] higgsino components
      complex nj3, nj4;
      if (slhaPtr->modsel(4) >= 1 && slhaPtr->rvnmix.exists()) {
        nj3=complex( slhaPtr->rvnmix(i+3,6), 0.0 );
        nj4=complex( slhaPtr->rvnmix(i+3,7), 0.0 );
      }
      else if (!isNMSSM) {
        nj3=complex( slhaPtr->nmix(j,3), slhaPtr->imnmix(j,3) );
        nj4=complex( slhaPtr->nmix(j,4), slhaPtr->imnmix(j,4) );
      } else {
        nj3=complex( slhaPtr->nmnmix(j,3), slhaPtr->imnmnmix(j,3) );
        nj4=complex( slhaPtr->nmnmix(j,4), slhaPtr->imnmnmix(j,4) );
      }
      // Change to positive mass convention
      if (slhaPtr->mass(idNeut(j)) < 0.) {
        nj3 *= iRot;
        nj4 *= iRot;
      }
      
      // ~chi0 [i] ~chi0 [j] Z : couplings
      OLpp[i][j] = -0.5 * ni3 * conj(nj3) + 0.5 * ni4 * conj(nj4);
      ORpp[i][j] = 0.5 * conj(ni3) * nj3 - 0.5 * conj(ni4) * nj4;
      
      // tmp: verbose output
      if (DBSUSY) {
        cout << " OL''  [" << i << "][" << j << "] = "
             << scientific << setw(10) << OLpp[i][j]
             << " OR''  [" << i << "][" << j << "] = "
             << scientific << setw(10) << ORpp[i][j] << endl;
      }
        
    }
    
    // ~chi0 [i] ~chi+ [j] W : loop over [j]
    for (int j=1; j<=nChar; j++) {
      
      // Chargino mixing
      complex uj1, uj2, vj1, vj2;
      if (slhaPtr->modsel(4)<1 || !slhaPtr->rvumix.exists()) {
        uj1=complex( slhaPtr->umix(j,1), slhaPtr->imumix(j,1) );
        uj2=complex( slhaPtr->umix(j,2), slhaPtr->imumix(j,2) );
        vj1=complex( slhaPtr->vmix(j,1), slhaPtr->imvmix(j,1) );
        vj2=complex( slhaPtr->vmix(j,2), slhaPtr->imvmix(j,2) );
      }
      // RPV: ignore lepton-chargino mixing
      else {
        uj1=complex( slhaPtr->rvumix(j+3,4), 0.0 );
        uj2=complex( slhaPtr->rvumix(j+3,5), 0.0 );
        vj1=complex( slhaPtr->rvvmix(j+3,4), 0.0 );
        vj2=complex( slhaPtr->rvvmix(j+3,5), 0.0 );
      }

      // ~chi0 [i] ~chi+ [j] W : couplings
      OL[i][j] = -1.0/sqrt(2.0)*ni4*conj(vj2)+ni2*conj(vj1);
      OR[i][j] = 1.0/sqrt(2.0)*conj(ni3)*uj2+conj(ni2)*uj1;
      
      // tmp: verbose output
      if (DBSUSY) {
        cout << " OL    [" << i << "][" << j << "] = "
             << scientific << setw(10) << OL[i][j]
             << " OR    [" << i << "][" << j << "] = "
             << scientific << setw(10) << OR[i][j] << endl;
      }
    }


    // ~qqX couplings
    // Quark Charges
    double ed  = -1.0/3.0;
    double T3d = -0.5;
    double eu  =  2.0/3.0;
    double T3u =  0.5;
    
    // Loop over quark [k] generation
    for (int k=1;k<=3;k++) {
      
      // Set quark masses
      // Initial guess 0,0,0,mc,mb,mt with the latter from the PDT
      double mu = particleDataPtr->m0(2*k);
      double md = particleDataPtr->m0(2*k-1);
      if (k == 1) { mu=0.0 ; md=0.0; }
      if (k == 2) { md=0.0 ; mu=0.0; }
      
      // Compute running mass from Yukawas and vevs if possible.
      if (slhaPtr->yd.exists() && slhaPtr->hmix.exists(3)) {
        double ykk=slhaPtr->yd(k,k);
        double v1=slhaPtr->hmix(3)/sqrt(1+pow(tanb,2));
        if (ykk > 0.0) md = ykk * v1 / sqrt(2.0) ;
      }
      if (slhaPtr->yu.exists() && slhaPtr->hmix.exists(3)) {
        double ykk=slhaPtr->yu(k,k);
        double v2=slhaPtr->hmix(3)/sqrt(1.0+1.0/pow(tanb,2));
        if (ykk > 0.0) mu = ykk * v2 / sqrt(2.0) ;
      }
      
      // tmp: verbose output
      if (DBSUSY) {
        cout  <<  " Gen = " << k << " mu = " << mu << " md = " << md
              << " yUU,DD = " << slhaPtr->yu(k,k) << ","
              << slhaPtr->yd(k,k) << endl;
      }
      
      // Loop over squark [j] flavour
      for (int j=1;j<=6;j++) {
        
        // Squark mixing
        complex Rdjk  = complex(Rd(j,k),  imRd(j,k)  );
        complex Rdjk3 = complex(Rd(j,k+3),imRd(j,k+3));
        complex Rujk  = complex(Ru(j,k),  imRu(j,k)  );
        complex Rujk3 = complex(Ru(j,k+3),imRu(j,k+3));
        
        // ~d[j] d[k] ~chi0[i]
        // Changed according to new notation
        LsddX[j][k][i] = ((ed-T3d)*sinW*ni1 + T3d*cosW*ni2)*conj(Rdjk)
          + md*cosW*ni3*conj(Rdjk3)/2.0/mW/cosb;
        RsddX[j][k][i] = -ed*sinW*conj(ni1)*conj(Rdjk3)
          + md*cosW*conj(ni3)*conj(Rdjk)/2.0/mW/cosb;

        // ~u[j] u[k] ~chi0[i]
        LsuuX[j][k][i] = ((eu-T3u)*sinW*ni1 + T3u*cosW*ni2)*conj(Rujk)
          + mu*cosW*ni4*conj(Rujk3)/2.0/mW/sinb;
        RsuuX[j][k][i] = -eu*sinW*conj(ni1)*conj(Rujk3)
          + mu*cosW*conj(ni4)*conj(Rujk)/2.0/mW/sinb;

        if (DBSUSY) {
          if (abs(LsddX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " LsddX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << LsddX[j][k][i] << endl;
          }
          if (abs(RsddX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " RsddX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << RsddX[j][k][i] << endl;
          }
          if (abs(LsuuX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " LsuuX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << LsuuX[j][k][i] << endl;
          }
          if (abs(RsuuX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " RsuuX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << RsuuX[j][k][i] << endl;
          }
        }
      }
    }

    // Start slepton couplings
    // Lepton Charges
    double el  = -1.0;
    double T3l = -0.5;
    double ev  =  0.0;
    double T3v =  0.5;

    // Need to define lepton mass
    for (int k=1;k<=3;k++) {
      // Set lepton masses
      double ml(0.0);
      if(k==3) ml = particleDataPtr->m0(15);

      for(int j=1;j<=6;j++){
        LsllX[j][k][i] = 0;
        RsllX[j][k][i] = 0;
        LsvvX[j][k][i] = 0;
        RsvvX[j][k][i] = 0;

        // ~l[j] l[k] ~chi0[i]
        // Changed according to new notation
        LsllX[j][k][i] = ((el-T3l)*sinW*ni1 + T3l*cosW*ni2)*Rsl(j,k)
          + ml*cosW*ni3/2.0/mW/cosb*Rsl(j,k+3);
        RsllX[j][k][i] = -el*sinW*conj(ni1)*Rsl(j,k+3)
          + ml*cosW*conj(ni3)/2.0/mW/cosb*Rsl(j,k);

        if(j<3 && j==k){
          // No sneutrino mixing; only left handed
          // ~v[j] v[k] ~chi0[i]
          LsvvX[j][k][i] = ((ev-T3v)*sinW*ni1 + T3v*cosW*ni2);
        }

        if (DBSUSY) {
          if (abs(LsllX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " LsllX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << LsllX[j][k][i] << endl;
          }
          if (abs(RsllX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " RsllX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << RsllX[j][k][i] << endl;
          }
          if (abs(LsvvX[j][k][i]) > 1e-6) {
            // tmp: verbose output
            cout << " LsvvX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << LsvvX[j][k][i] << endl;
          }
        }
      }
    }
  }
  
  // RPV: check for lepton-chargino mixing (not supported)
  if (slhaPtr->modsel(4) >= 1 && slhaPtr->rvumix.exists()) {
    bool hasCrossTerms = false;
    for (int i=1; i<=3; ++i)
      for (int j=4; j<=5; ++j)
        if (abs(slhaPtr->rvumix(i,j)) > 1e-5
            || abs(slhaPtr->rvvmix(i,j)) > 1e-5) {
          hasCrossTerms = true;
          break;
        }
    if (hasCrossTerms)
      infoPtr->errorMsg("Warning from CoupSUSY::initSUSY: "
                        "Lepton-Chargino mixing not supported in PYTHIA");
  }

  // Construct ~chi+ couplings
  // sqrt(2)
  double rt2 = sqrt(2.0);

  for (int i=1;i<=nChar;i++) {
    
    // Ui1, Ui2, Vi1, Vi2
    complex ui1,ui2,vi1,vi2;
    ui1=complex( slhaPtr->umix(i,1), slhaPtr->imumix(i,1) );
    ui2=complex( slhaPtr->umix(i,2), slhaPtr->imumix(i,2) );
    vi1=complex( slhaPtr->vmix(i,1), slhaPtr->imvmix(i,1) );
    vi2=complex( slhaPtr->vmix(i,2), slhaPtr->imvmix(i,2) );
    
    // ~chi+ [i] ~chi- [j] Z : loop over [j]
    for (int j=1; j<=nChar; j++) {
      
      // Chargino mixing
      complex uj1, uj2, vj1, vj2;
      uj1=complex( slhaPtr->umix(j,1), slhaPtr->imumix(j,1) );
      uj2=complex( slhaPtr->umix(j,2), slhaPtr->imumix(j,2) );
      vj1=complex( slhaPtr->vmix(j,1), slhaPtr->imvmix(j,1) );
      vj2=complex( slhaPtr->vmix(j,2), slhaPtr->imvmix(j,2) );
      
      // ~chi+ [i] ~chi- [j] Z : couplings
      OLp[i][j] = -vi1*conj(vj1) - 0.5*vi2*conj(vj2)
        + ( (i == j) ? sin2W : 0.0);
      ORp[i][j] = -conj(ui1)*uj1 - 0.5*conj(ui2)*uj2
        + ( (i == j) ? sin2W : 0.0);
      
      if (DBSUSY) {
        // tmp: verbose output
        cout << " OL'   [" << i << "][" << j << "] = "
             << scientific << setw(10) << OLp[i][j]
             << " OR'   [" << i << "][" << j << "] = "
             << scientific << setw(10) << ORp[i][j] << endl;
      }
    }
    
    // Loop over quark [l] flavour
    for (int l=1;l<=3;l++) {
      
      // Set quark [l] masses
      // Initial guess 0,0,0,mc,mb,mt with the latter from the PDT
      double mul = particleDataPtr->m0(2*l);
      double mdl = particleDataPtr->m0(2*l-1);
      if (l == 1 || l == 2) { mul=0.0 ; mdl=0.0; }
      
      // Compute running mass from Yukawas and vevs if possible.
      if (slhaPtr->yd.exists() && slhaPtr->hmix.exists(3)) {
        double yll=slhaPtr->yd(l,l);
        double v1=slhaPtr->hmix(3)/sqrt(1+pow(tanb,2));
        if (yll > 0.0) mdl = yll * v1 / sqrt(2.0) ;
      }
      if (slhaPtr->yu.exists() && slhaPtr->hmix.exists(3)) {
        double yll=slhaPtr->yu(l,l);
        double v2=slhaPtr->hmix(3)/sqrt(1.0+1.0/pow(tanb,2));
        if (yll > 0.0) mul = yll * v2 / sqrt(2.0) ;
      }
      
      // Loop over squark [j] flavour
      for (int j=1;j<=6;j++) {

        // Loop over off-diagonal quark [k] generation
        for (int k=1;k<=3;k++) {

          // Set quark [k] masses
          // Initial guess 0,0,0,0,mb,mt with the latter from the PDT
          double muk = particleDataPtr->m0(2*k);
          double mdk = particleDataPtr->m0(2*k-1);
          if (k == 1) { muk=0.0 ; mdk=0.0; }
          if (k == 2) { mdk=0.0 ; muk=0.0; }
      
          // Compute running mass from Yukawas and vevs if possible.
          if (slhaPtr->yd.exists() && slhaPtr->hmix.exists(3)) {
            double ykk=slhaPtr->yd(k,k);
            double v1=slhaPtr->hmix(3)/sqrt(1+pow(tanb,2));
            if (ykk > 0.0) mdk = ykk * v1 / sqrt(2.0) ;
          }
          if (slhaPtr->yu.exists() && slhaPtr->hmix.exists(3)) {
            double ykk=slhaPtr->yu(k,k);
            double v2=slhaPtr->hmix(3)/sqrt(1.0+1.0/pow(tanb,2));
            if (ykk > 0.0) muk = ykk * v2 / sqrt(2.0) ;
          }

          // CKM matrix (use Pythia one if no SLHA)
          // (NB: could also try input one if no running one found, but
          // would then need to compute from Wolfenstein)
          complex Vlk=VCKMgen(l,k);
          complex Vkl=VCKMgen(k,l);
          if (slhaPtr->vckm.exists()) {
            Vlk=complex(slhaPtr->vckm(l,k),slhaPtr->imvckm(l,k));
            Vkl=complex(slhaPtr->vckm(k,l),slhaPtr->imvckm(k,l));
          }
      
          // Squark mixing
          complex Rdjk  = complex(Rd(j,k),  imRd(j,k)  );
          complex Rdjk3 = complex(Rd(j,k+3),imRd(j,k+3));
          complex Rujk  = complex(Ru(j,k),  imRu(j,k)  );
          complex Rujk3 = complex(Ru(j,k+3),imRu(j,k+3));

          
          // ~d[j] u[l] ~chi+[i]
          LsduX[j][l][i] += (ui1*conj(Rdjk)
                             - mdk*ui2*conj(Rdjk3)/rt2/mW/cosb)*Vlk;
          RsduX[j][l][i] -= mul*conj(vi2)*Vlk*conj(Rdjk)/rt2/mW/sinb;

          // ~u[j] d[l] ~chi+[i]
          LsudX[j][l][i] += (conj(vi1)*Rujk
                             - muk*conj(vi2)*Rujk3/rt2/mW/sinb)*Vkl;
          RsudX[j][l][i] -= mdl*ui2*Vkl*Rujk/rt2/mW/cosb;

        }

        if (DBSUSY) {
          if (max(abs(LsduX[j][l][i]),abs(RsduX[j][l][i])) > 1e-6) {
            // tmp: verbose output
            cout << " LsduX[" << j << "][" << l << "][" << i << "] = "
                 << scientific << setw(10) << LsduX[j][l][i];
            cout << " RsduX[" << j << "][" << l << "][" << i << "] = "
                 << scientific << setw(10) << RsduX[j][l][i] << endl;
          }
          if (max(abs(LsudX[j][l][i]),abs(RsudX[j][l][i])) > 1e-6) {
            // tmp: verbose output
            cout << " LsudX[" << j << "][" << l << "][" << i << "] = "
                 << scientific << setw(10) << LsudX[j][l][i];
            cout << " RsudX[" << j << "][" << l << "][" << i << "] = "
                 << scientific << setw(10) << RsudX[j][l][i] << endl;
          }
        }
      }
    }

    // Loop over slepton [j] flavour
    for (int j=1;j<=6;j++) {
      for (int k=1;k<=3;k++) {
        
        LslvX[j][k][i] = 0.0;
        RslvX[j][k][i] = 0.0;
        LsvlX[j][k][i] = 0.0;
        RsvlX[j][k][i] = 0.0;

        // Set lepton [k] masses
        double ml = 0.0;
        if (k == 3) ml = particleDataPtr->m0(15);
        
        if(j==k || j==k+3){ // No lepton mixing
          
          // ~l[j] v[l] ~chi+[i]
          LslvX[j][k][i] += ui1- ml*ui2/rt2/mW/cosb;
          RslvX[j][k][i] -= ml*conj(vi2)/rt2/mW/sinb;
          
          // ~v[j] l[l] ~chi+[i]
          if(j<=3){ // No right handed sneutrinos
            LsvlX[j][k][i] += conj(vi1) - ml*conj(vi2)/rt2/mW/sinb;
          }
        }

        if (DBSUSY) {
          if (max(abs(LslvX[j][k][i]),abs(RslvX[j][k][i])) > 1e-6) {
            // tmp: verbose output
            cout << " LslvX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << LslvX[j][k][i];
            cout << " RslvX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << RslvX[j][k][i] << endl;
          }
          if (max(abs(LsvlX[j][k][i]),abs(RsvlX[j][k][i])) > 1e-6) {
            // tmp: verbose output
            cout << " LsvlX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << LsvlX[j][k][i];
            cout << " RsvlX[" << j << "][" << k << "][" << i << "] = "
                 << scientific << setw(10) << RsvlX[j][k][i] << endl;
          }
        }
      }
    }
  }

  // SLHA2 compatibility
  // Check whether scalar particle masses are ordered
  bool orderedQ = true;
  bool orderedL = true;
  for (int j=1;j<=5;j++) {
    if (particleDataPtr->m0(idSlep(j+1)) < particleDataPtr->m0(idSlep(j)))
      orderedL  = false;
    if (particleDataPtr->m0(idSup(j+1)) < particleDataPtr->m0(idSup(j)))
      orderedQ  = false;
    if (particleDataPtr->m0(idSdown(j+1)) m0(idSdown(j)))
      orderedQ  = false;
  }

  // If ordered, change sparticle labels to mass-ordered enumeration
  for (int i=1;i<=6;i++) {
    ostringstream indx;
    indx << i;
    string uName = "~u_"+indx.str();
    string dName = "~d_"+indx.str();
    string lName = "~e_"+indx.str();
    ParticleDataEntry* pdePtr;
    if (orderedQ) {
      pdePtr = particleDataPtr->particleDataEntryPtr(idSup(i));
      pdePtr->setNames(uName,uName+"bar");
      pdePtr = particleDataPtr->particleDataEntryPtr(idSdown(i));
      pdePtr->setNames(dName,dName+"bar");
    }
    if (orderedL) {
      pdePtr = particleDataPtr->particleDataEntryPtr(idSlep(i));
      pdePtr->setNames(lName,lName+"bar");
    }
  }

  // Shorthand for RPV couplings
  // The input LNV lambda couplings
  LHtensor3Block<3> rvlle(slhaPtr->rvlamlle);
  // The input LNV lambda' couplings
  LHtensor3Block<3> rvlqd(slhaPtr->rvlamlqd);
  // The input BNV lambda'' couplings
  LHtensor3Block<3> rvudd(slhaPtr->rvlamudd);

  isLLE = false;
  isLQD = false;
  isUDD = false;

  // Symmetry properties
  if(rvlle.exists()){
    isLLE = true;
    for(int i=1;i<=3;i++){
      for(int j=i;j<=3;j++){
        //lambda(i,j,k)=-lambda(j,i,k)
        for(int k=1;k<=3;k++){
          if(i==j){
            rvLLE[i][j][k] = 0.0;
          }else{
            rvLLE[i][j][k] = rvlle(i,j,k);
            rvLLE[j][i][k] = -rvlle(i,j,k);
          }
        }
      }
    }
  }

  if(rvlqd.exists()){
    isLQD=true;
    for(int i=1;i<=3;i++){
      for(int j=1;j<=3;j++){
        for(int k=1;k<=3;k++){
            rvLQD[i][j][k] = rvlqd(i,j,k);
        }
      }
    }
  }
  
  //lambda''(k,j,i)=-lambda''(k,i,j)

  if(rvudd.exists()){
    isUDD = true;
    for(int i=1;i<=3;i++){
      for(int j=i;j<=3;j++){
        for(int k=1;k<=3;k++){
          if(i==j){
            rvUDD[k][i][j] = 0.0;
          }else{
            rvUDD[k][i][j] = rvudd(k,i,j);
            rvUDD[k][j][i] = -rvudd(k,i,j);
          }
        }
      }
    }
  }
  
  if(DBSUSY){
    for(int i=1;i<=3;i++){
      for(int j=1;j<=3;j++){
        for(int k=1;k<=3;k++){
          if(rvlle.exists())
            cout<<"LambdaLLE["< 0 ) ? 1 : -1;
  iSup = abs(iSup);
  if      (iSup ==  1) id =  1000002;
  else if (iSup ==  2) id =  1000004;
  else if (iSup ==  3) id =  1000006;
  else if (iSup ==  4) id =  2000002;
  else if (iSup ==  5) id =  2000004;
  else if (iSup ==  6) id =  2000006;
  return sgn*id;
}

//--------------------------------------------------------------------------

// Return sdown flavour codes

int CoupSUSY::idSdown(int iSdown) {

  int id = 0;
  int sgn = ( iSdown > 0 ) ? 1 : -1;
  iSdown = abs(iSdown);
  if      (iSdown ==  1) id =  1000001;
  else if (iSdown ==  2) id =  1000003;
  else if (iSdown ==  3) id =  1000005;
  else if (iSdown ==  4) id =  2000001;
  else if (iSdown ==  5) id =  2000003;
  else if (iSdown ==  6) id =  2000005;
  return sgn*id;
}

//--------------------------------------------------------------------------

// Function to return slepton flavour codes

int CoupSUSY::idSlep(int iSlep) {

  int id = 0;
  int sgn = ( iSlep > 0 ) ? 1 : -1;
  iSlep = abs(iSlep);
  if      (iSlep ==  1) id =  1000011;
  else if (iSlep ==  2) id =  1000013;
  else if (iSlep ==  3) id =  1000015;
  else if (iSlep ==  4) id =  2000011;
  else if (iSlep ==  5) id =  2000013;
  else if (iSlep ==  6) id =  2000015;
  return sgn*id;
}

//--------------------------------------------------------------------------

// Return a particle name, given the PDG code.

string CoupSUSY::getName(int pdgCode) {

  // Absolute value and corresponding SM code
  int codeA = abs(pdgCode);
  int idSM  = codeA % 1000000;

  // Name
  string name;

  // Flag to indicate whether SLHA1 or SLHA2
  bool slha1 = false;

  // SM particles
  if (codeA == idSM) {
    // Neutrinos
    if (!slhaPtr->upmns.exists()) slha1=true;
    if (codeA == 12) name = (slha1) ? "nu_e" : "nu_1";
    if (codeA == 14) name = (slha1) ? "nu_mu" : "nu_2";
    if (codeA == 16) name = (slha1) ? "nu_tau" : "nu_3";
  }

  // Squarks
  else if ( idSM <= 6) {
    // up squarks
    if (idSM % 2 == 0) {
      // If SLHA1, return old PDG names
      if (slhaPtr->stopmix.exists()) slha1 = true;
      if (codeA == 1000002) name = (slha1) ? "~u_L" : "~u_1";
      if (codeA == 1000004) name = (slha1) ? "~c_L" : "~u_2";
      if (codeA == 1000006) name = (slha1) ? "~t_1" : "~u_3";
      if (codeA == 2000002) name = (slha1) ? "~u_R" : "~u_4";
      if (codeA == 2000004) name = (slha1) ? "~c_R" : "~u_5";
      if (codeA == 2000006) name = (slha1) ? "~t_2" : "~u_6";
    }
    // down squarks
    else {
      // If SLHA1, return old PDG names
      if (slhaPtr->sbotmix.exists()) slha1 = true;
      if (codeA == 1000001) name = (slha1) ? "~d_L" : "~d_1";
      if (codeA == 1000003) name = (slha1) ? "~s_L" : "~d_2";
      if (codeA == 1000005) name = (slha1) ? "~b_1" : "~d_3";
      if (codeA == 2000001) name = (slha1) ? "~d_R" : "~d_4";
      if (codeA == 2000003) name = (slha1) ? "~s_R" : "~d_5";
      if (codeA == 2000005) name = (slha1) ? "~b_2" : "~d_6";
    }
    if (pdgCode < 0) name += "bar";
  }

  // Sleptons
  else if ( idSM <= 19 ) {

    // Sneutrinos
   if (idSM % 2 == 0) {
      // If SLHA1, return old PDG names
      if (slhaPtr->staumix.exists()) slha1 = true;
      if (codeA == 1000012) name = (slha1) ? "~nu_eL" : "~nu_1";
      if (codeA == 1000014) name = (slha1) ? "~nu_muL" : "~nu_2";
      if (codeA == 1000016) name = (slha1) ? "~nu_tauL" : "~nu_3";
      if (codeA == 2000012) name = (slha1) ? "~nu_eR" : "~nu_4";
      if (codeA == 2000014) name = (slha1) ? "~nu_muR" : "~nu_5";
      if (codeA == 2000016) name = (slha1) ? "~nu_tauR" : "~nu_6";
      if (pdgCode < 0) name += "bar";
    }
    // charged sleptons
    else {
      // If SLHA1, return old PDG names
      if (slhaPtr->staumix.exists()) slha1 = true;
      if (codeA == 1000011) name = (slha1) ? "~e_L" : "~e_1";
      if (codeA == 1000013) name = (slha1) ? "~mu_L" : "~e_2";
      if (codeA == 1000015) name = (slha1) ? "~tau_1" : "~e_3";
      if (codeA == 2000011) name = (slha1) ? "~e_R" : "~e_4";
      if (codeA == 2000013) name = (slha1) ? "~mu_R" : "~e_5";
      if (codeA == 2000015) name = (slha1) ? "~tau_2" : "~e_6";
      if (pdgCode < 0) name += "-";
      else name += "+";
    }
  }

  else if (codeA == 1000021) name = "~g";
  else if (codeA == 1000022) name = "~chi_10";
  else if (codeA == 1000023) name = "~chi_20";
  else if (codeA == 1000024) name = (pdgCode > 0) ? "~chi_1+" : "~chi_1-";
  else if (codeA == 1000025) name = "~chi_30";
  else if (codeA == 1000035) name = "~chi_40";
  else if (codeA == 1000037) name = (pdgCode > 0) ? "~chi_2+" : "~chi_2-";

  return name;

}

//--------------------------------------------------------------------------

// Return neutralino code; zero if not a neutralino

int CoupSUSY::typeNeut(int idPDG) {
  int type = 0;
  int idAbs = abs(idPDG);
  if(idAbs == 1000022) type = 1;
  else if(idAbs == 1000023) type = 2;
  else if(idAbs == 1000025) type = 3;
  else if(idAbs == 1000035) type = 4;
  else if(isNMSSM && idAbs == 1000045) type = 5;
  return type;

}

//--------------------------------------------------------------------------

// Check whether particle is a Chargino

int CoupSUSY::typeChar(int idPDG) {
  int type = 0;
  if(abs(idPDG) == 1000024) type = 1;
  else if (abs(idPDG) == 1000037)type = 2;
  return type;
}

//==========================================================================

} // end namespace Pythia8



pythia8-8.1.86.orig/GUIDELINES0000644000175000017500000001105212357054722013720 0ustar  sunsun
               MCNET GUIDELINES

      for Event Generator Authors and Users


    PREAMBLE

This generator has been developed as part of an academic research
project and is the result of many years of work by the authors.
Proper academic recognition is a requirement for its continued
development.

The components of the program have been developed to work together
as a coherent physics framework. We believe that the creation of
separately maintained forks or piecewise distribution of individual
parts would diminish their scientific value.

The authors are convinced that software development in a scientific
context requires full availability of all source code, to further
progress and to allow local modifications to meet the specific
requirements of the individual user.

Therefore we have decided to release this program under the
GNU General Public License (GPL) version 2. This ensures
that the source code will be available to you and grants you the
freedom to use and modify the program. You can redistribute your
modified versions as long as you retain the GPL and respect existing
copyright notices (see the file 'COPYING' for details).

By using the GPL, we entrust you with considerable freedom and expect
you to use it wisely, since the GPL does not address the issues in
the first two paragraphs. To remedy this shortcoming, we have
formulated the following guidelines relevant for the distribution
and usage of event generator software in an academic setting.


    GUIDELINES

1) The integrity of the program should be respected.
    -------------------------------------------------

1.1) Suspected bugs and proposed fixes should be reported back to the
    original authors to be considered for inclusion in the standard
    distribution.  No independently developed and maintained forks
    should be created as long as the original authors actively work on
    the program.

1.2) The program should normally be redistributed in its entirety.
    When there are special reasons, an agreement should be sought with
    the original authors to redistribute only specific parts. This
    should be arranged such that the redistributed parts remain
    updated in step with the standard distribution.

1.3) Any changes in the code must be clearly marked in the source
   (reason, author, date) and documented. If any modified version is
   redistributed it should be stated at the point of distribution
   (download link) that it has been modified and why.

1.4) If a significant part of the code is used by another program,
    this should be clearly specified in that program's documentation and
    stated at its point of distribution.

1.5) Copyright information and references may not be removed.
    Copyright-related program messages may not be altered and must be
    printed even if only a part of the program is used. Adding further
    messages specifying any modifications is encouraged.


2) The program and its physics should be properly cited when used for
    academic publications
    ------------------------------------------------------------------

2.1) The main software reference as designated by the program authors
    should always be cited.

2.2) In addition, the original literature on which the program is based
    should be cited to the extent that it is of relevance for a study,
    applying the same threshold criteria as for other literature.

2.3) When several programs are combined, they should all be mentioned,
    commensurate with their importance for the physics study at hand.

2.4) To make published results reproducible, the exact versions of the
    codes that were used and any relevant program and parameter
    modifications should be spelled out.


    POSTSCRIPT

The copyright license of the software is the GPL v2 alone, therefore
the above guidelines are not legally binding. However, we reserve the
right to criticize offenders. The guidelines should always be combined
with common sense, for interpretation and for issues not covered.
Enquiries regarding the guidelines and related issues are encouraged
and should be directed to the authors of the program.

Please note that the program, including all its code and documentation,
is intended for academic use and is delivered "as is" to be used at 
your own risk, without any guarantees.

----------------------------------------------------------------------

These guidelines were edited by Nils Lavesson and David Grellscheid
for the MCnet collaboration, which has approved and agreed to respect
them.  MCnet is a Marie Curie Research Training Network funded under
Framework Programme 6 contract MRTN-CT-2006-035606.

pythia8-8.1.86.orig/COPYING0000644000175000017500000004325412357054674013417 0ustar  sunsun                    GNU GENERAL PUBLIC LICENSE
                       Version 2, June 1991

 Copyright (C) 1989, 1991 Free Software Foundation, Inc.,
 51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA
 Everyone is permitted to copy and distribute verbatim copies
 of this license document, but changing it is not allowed.

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any particular circumstance, the balance of the section is intended to
apply and the section as a whole is intended to apply in other
circumstances.

It is not the purpose of this section to induce you to infringe any
patents or other property right claims or to contest validity of any
such claims; this section has the sole purpose of protecting the
integrity of the free software distribution system, which is
implemented by public license practices.  Many people have made
generous contributions to the wide range of software distributed
through that system in reliance on consistent application of that
system; it is up to the author/donor to decide if he or she is willing
to distribute software through any other system and a licensee cannot
impose that choice.

This section is intended to make thoroughly clear what is believed to
be a consequence of the rest of this License.

  8. If the distribution and/or use of the Program is restricted in
certain countries either by patents or by copyrighted interfaces, the
original copyright holder who places the Program under this License
may add an explicit geographical distribution limitation excluding
those countries, so that distribution is permitted only in or among
countries not thus excluded.  In such case, this License incorporates
the limitation as if written in the body of this License.

  9. The Free Software Foundation may publish revised and/or new versions
of the General Public License from time to time.  Such new versions will
be similar in spirit to the present version, but may differ in detail to
address new problems or concerns.

Each version is given a distinguishing version number.  If the Program
specifies a version number of this License which applies to it and "any
later version", you have the option of following the terms and conditions
either of that version or of any later version published by the Free
Software Foundation.  If the Program does not specify a version number of
this License, you may choose any version ever published by the Free Software
Foundation.

  10. If you wish to incorporate parts of the Program into other free
programs whose distribution conditions are different, write to the author
to ask for permission.  For software which is copyrighted by the Free
Software Foundation, write to the Free Software Foundation; we sometimes
make exceptions for this.  Our decision will be guided by the two goals
of preserving the free status of all derivatives of our free software and
of promoting the sharing and reuse of software generally.

                            NO WARRANTY

  11. BECAUSE THE PROGRAM IS LICENSED FREE OF CHARGE, THERE IS NO WARRANTY
FOR THE PROGRAM, TO THE EXTENT PERMITTED BY APPLICABLE LAW.  EXCEPT WHEN
OTHERWISE STATED IN WRITING THE COPYRIGHT HOLDERS AND/OR OTHER PARTIES
PROVIDE THE PROGRAM "AS IS" WITHOUT WARRANTY OF ANY KIND, EITHER EXPRESSED
OR IMPLIED, INCLUDING, BUT NOT LIMITED TO, THE IMPLIED WARRANTIES OF
MERCHANTABILITY AND FITNESS FOR A PARTICULAR PURPOSE.  THE ENTIRE RISK AS
TO THE QUALITY AND PERFORMANCE OF THE PROGRAM IS WITH YOU.  SHOULD THE
PROGRAM PROVE DEFECTIVE, YOU ASSUME THE COST OF ALL NECESSARY SERVICING,
REPAIR OR CORRECTION.

  12. IN NO EVENT UNLESS REQUIRED BY APPLICABLE LAW OR AGREED TO IN WRITING
WILL ANY COPYRIGHT HOLDER, OR ANY OTHER PARTY WHO MAY MODIFY AND/OR
REDISTRIBUTE THE PROGRAM AS PERMITTED ABOVE, BE LIABLE TO YOU FOR DAMAGES,
INCLUDING ANY GENERAL, SPECIAL, INCIDENTAL OR CONSEQUENTIAL DAMAGES ARISING
OUT OF THE USE OR INABILITY TO USE THE PROGRAM (INCLUDING BUT NOT LIMITED
TO LOSS OF DATA OR DATA BEING RENDERED INACCURATE OR LOSSES SUSTAINED BY
YOU OR THIRD PARTIES OR A FAILURE OF THE PROGRAM TO OPERATE WITH ANY OTHER
PROGRAMS), EVEN IF SUCH HOLDER OR OTHER PARTY HAS BEEN ADVISED OF THE
POSSIBILITY OF SUCH DAMAGES.

                     END OF TERMS AND CONDITIONS

            How to Apply These Terms to Your New Programs

  If you develop a new program, and you want it to be of the greatest
possible use to the public, the best way to achieve this is to make it
free software which everyone can redistribute and change under these terms.

  To do so, attach the following notices to the program.  It is safest
to attach them to the start of each source file to most effectively
convey the exclusion of warranty; and each file should have at least
the "copyright" line and a pointer to where the full notice is found.

    
    Copyright (C)   

    This program is free software; you can redistribute it and/or modify
    it under the terms of the GNU General Public License as published by
    the Free Software Foundation; either version 2 of the License, or
    (at your option) any later version.

    This program is distributed in the hope that it will be useful,
    but WITHOUT ANY WARRANTY; without even the implied warranty of
    MERCHANTABILITY or FITNESS FOR A PARTICULAR PURPOSE.  See the
    GNU General Public License for more details.

    You should have received a copy of the GNU General Public License along
    with this program; if not, write to the Free Software Foundation, Inc.,
    51 Franklin Street, Fifth Floor, Boston, MA 02110-1301 USA.

Also add information on how to contact you by electronic and paper mail.

If the program is interactive, make it output a short notice like this
when it starts in an interactive mode:

    Gnomovision version 69, Copyright (C) year name of author
    Gnomovision comes with ABSOLUTELY NO WARRANTY; for details type `show w'.
    This is free software, and you are welcome to redistribute it
    under certain conditions; type `show c' for details.

The hypothetical commands `show w' and `show c' should show the appropriate
parts of the General Public License.  Of course, the commands you use may
be called something other than `show w' and `show c'; they could even be
mouse-clicks or menu items--whatever suits your program.

You should also get your employer (if you work as a programmer) or your
school, if any, to sign a "copyright disclaimer" for the program, if
necessary.  Here is a sample; alter the names:

  Yoyodyne, Inc., hereby disclaims all copyright interest in the program
  `Gnomovision' (which makes passes at compilers) written by James Hacker.

  , 1 April 1989
  Ty Coon, President of Vice

This General Public License does not permit incorporating your program into
proprietary programs.  If your program is a subroutine library, you may
consider it more useful to permit linking proprietary applications with the
library.  If this is what you want to do, use the GNU Lesser General
Public License instead of this License.
pythia8-8.1.86.orig/README0000644000175000017500000002546012357054757013245 0ustar  sunsun
   BASIC INSTALLATION

1) Once you have unpacked your tarball into a new (sub)directory,
   the first step is to run the "configure" script. If you accept the
   default compiler options, and plan to run PYTHIA 8 standalone, you
   only have to type "./configure". This will create the file config.mk.
   Actually, running this script by hand is optional since "make" will
   run "configure" anyway, but possible errors in the paths will be
   less clearly visible.

2) Type "gmake" or "make". This will create an archive library.
   On Linux systems gmake and make are usually equivalent. For others,
   in case of doubt, use gmake. This applies below as well.

3) The library should now be ready for use. To study some examples,
   go to the "examples" subdirectory. The README file in that
   subdirectory contain further instructions how executables can
   be built and run.

4) At any time, typing "gmake clean" will remove all files related to
   the library compilation, including the library itself, but it will
   not reset the configure selections. With "gmake distclean" additionally
   the configure selection is reset, and many other temporary files are
   removed. Output files you may have created during your test runs are
   not affected. (A "gmake clean" is also available in the examples
   subdirectory, see the README there.)

----------------------------------------------------------------------

   ADVANCED INSTALLATION

1) If you want to set various compilation options, or prepare the
   linking to the HepMC external library then the "configure" script
   will have to do more work. There are two different ways to
   accomplish this.

1.1)  You can use command-line arguments to set up the desired library
     links. The possible options are:
     --help : prints a brief summary of the options described here.
     --enable-debug : turns on debugging flags and turns off optimization.
         (This makes program execution much slower. If you later want to
         switch optimization back on you have to rerun configure without
         this option, since default is to allow optimization.)
     --enable-shared : turns on shared-library creation,
         in addition to the archive libraries always built.
     --enable-64bits : turns on 64 bits compilation flag
         (is automatic on many 64-bit installations, but just in case).
     --lcgplatform=name : allows you to specify the platform assumed for
         compilation, which also affects the assumed location of the
         libraries below; default is x86_64-slc5-gcc43-opt while other
         supported values for name include slc4_ia32_gcc34,
         slc4_amd64_gcc34 and slc3_ia32_gcc323 (deprecated).
     --installdir=name : absolute path to a directory where the compiled
         library and header file directories will be copied, by a
         "gmake install" command subsequent to the "gmake" one.
         Note that the files in the current working directory are kept.
     --prefix=name : equivalent alternative to --installdir=name.
     --datadir=name : absolute path to a directory where the xmldoc
         data directory will be copied, by a "gmake install" command
         subsequent to the "gmake" one. Defaults to the same as
         --installdir=name if not set separately.
     --with-hepmc=path : the path to your local copy of the HepMC library.
         You must use version 2.06 (or later). If the path does not
         contain the version number you will be warned about it.
     --with-hepmcversion=v : a simpler alternative to the above, valid
         if you are using the CERN AFS LCG external area.
     --enable-gzip     : enable support for gzipped LHE file reading
     --with-boost=path   see GZIP SUPPORT section below for
     --with-zlib=path    further details
     There also are a few environment variables that you can set to
     force the configuration process or add flags:
     USRCXXFLAGS : to add flags. Use this variable to add -fPIC to the
         compilation flags for the static libraries
     USRLDFLAGSSHARED : to add flags to the shared library build command
     USRSHAREDSUFFIX : to force shared libraries suffix to be like this
         (default on MacOSX is dylib).

1.2) If you want to use the external HepMC from some different location,
     or it is more convenient to put the paths directly into the script,
     then you have to edit the "configure" file by hand before you run
     it. Search in the "configure" file for
       HEPMCLOCATION
     and provide the paths where you have the respective libraries
     installed on your local platform.

   Information on the selected paths is stored in the files config.mk,
   examples/config.sh and examples/config.csh when you run "./configure".

1.3) The CC and FC global environment variables can be set to specify
   the C++ and Fortran 77/90 compilers, otherwise set in
   configure and examples/configure.

2) If you want to change the version of HepMC, you have to
   rerun the script "configure" with relevant options, then type "make"
   to recompile the library hepmcinterface. If you tried already to run
   examples with previous versions, pay attention to the environment
   variable LD_LIBRARY_PATH (see README in examples).

   Hints on how to install HepMC from scratch can be found in the
   separate README.HepMC file.

3) If you have two CPUs or cores on your computer then using the -j2
   option on make/gmake may speed up compilation.

4) Necessary data are automatically loaded when you use the default
   PYTHIA installation directory structure and run the main programs in
   the examples subdirectory. However, in the general case, you must
   provide the path to the .xml files, originally stored in the xmldoc
   directory, where default settings and particle data are found. This
   can be done in two ways.

4.1) You can set the environment variable PYTHIA8DATA to contain the
     location of the xmldoc directory. In the csh and tcsh shells this
     could e.g. be
       setenv PYTHIA8DATA /home/myname/pythia81xx/xmldoc
     while in other shells it could be
       export PYTHIA8DATA=/home/myname/pythia81xx/xmldoc
     where xx is the subversion number.
     Recall that environment variables set locally are only defined in
     the current instance of the shell. The above lines should go into
     your .cshrc and .bashrc files, respectively, if you want a more
     permanent assignment.

4.2) You can provide the path as argument to the Pythia constructor in
     your main program, e.g.
       Pythia pythia("/home/myname/pythia81xx/xmldoc");
     where again xx is the subversion number.

   When PYTHIA8DATA is set it takes precedence, else the path in the
   constructor is used, else one defaults to the ../xmldoc directory.

----------------------------------------------------------------------

   COMPILING PROGRAMS AGAINST PYTHIA 8

Generally compiling programs against the PYTHIA 8 libraries requires
that the PYTHIA 8 header and library directories be specified via the
usual -I and -L compiler flags, and that at least the -lpythia8 option
be provided to link against the main Pythia8 library.

Extra compiler flags will be needed if you are making use of PYTHIA 8's
HepMC, LHAPDF, FastJet, and gzipped LHEF features. To make this simpler,
and so that an identical compilation recipe can be used with different
builds of PYTHIA (e.g. for inclusion in shared Makefiles), a pythia8-config
script will be installed into $prefix/bin by the "make install" build
target. A typical usage of this script is as follows:

g++ myprog.cc -o myprog `pythia8-config --cppflags --libs`

The --cppflags option to this script makes pythia8-config write out
the necessary -I flags corresponding to the installed headers, and
--libs adds the required -L and -l flags. If gzip support is enabled,
flags for its extra Boost/zlib dependencies will be automatically
included.

Adding an extra --hepmc flag will additionally include the required
flags for building with HepMC support. Adding --lhapdf will _disable_
the inclusion of the lhapdfdummy library to avoid link-time clashing
with  LHAPDF itself. FastJet and LHAPDF provide their own *-config
scripts, so compiling a complex program which uses PYTHIA 8 with HepMC
and LHAPDF support, and which makes use of FastJet, can use a compilation
command similar to this:

g++ myprog.cc -o myprog `pythia8-config --cppflags --libs --hepmc --lhapdf` \
  `lhapdf-config --cppflags --ldflags` `fastjet-config --cxxflags --libs`

The pythia8-config script may also be used at runtime to generate the
data directory environment variable if needed, e.g.:

PYTHIA8DATA=`pythia8-config --xmldoc` ./myprog

----------------------------------------------------------------------

   GZIP SUPPORT (experimental)

The '--enable-gzip' options turns on support for the reading of
gzipped LHE files. It relies upon Boost and zlib to function, and
the locations of these must be set with the '--with-boost=boost_path'
and '--with-zlib=zlib_path' options. Specifically, it requires (note
that .so should be replaced with .dylib for Mac OS X):
  boost_path/include/boost/iostreams/ (with the appropriate files
                                       in this directory)
  boost_path/lib/libboost_iostreams.so (or boost_path/lib64/...)
  zlib_path/libz.so
The zlib library may not be necessary when linking against PYTHIA
using shared libraries.

Note that when compiling a final PYTHIA executable, these libraries
must also be included, e.g.:
  -Lboost_path/lib -lboost_iostreams -Lzlib_path -lz
This is done automatically for the examples in the 'examples' and
'rootexamples' directories when gzip support is enabled.

When running the executable, if the Boost and zlib libraries are
in a non-standard directory, the LD_LIBRARY_PATH (DYLD_LIBRARY_PATH
for Mac OS X) must be set to include these directories, e.g. in a
bash-type shell:
  export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:boost_path/lib:zlib_path

Gzip support currently switches off the '-Wshadow' compiler option
to avoid the possibility of a large number of warning messages.

----------------------------------------------------------------------

   FOR WINDOWS USERS

The Makefile.msc file is intended for use on Win32/NMAKE systems with
the  Microsoft Visual C/C++ compiler. This alternative installation
is not the development platform, however, and therefore not as well
tested. Not all parts of the above installation procedure are the same,
so some experimentation may be required. A few suggestions are found
in the the separate README.Win32 file.

----------------------------------------------------------------------

   LEARN MORE

To learn more about the current program:

A) A brief self-contained introduction is found in the
   htmldoc/pythia8100.pdf file.

B) Details can be found by opening a web browser on the
   htmldoc/Welcome.html file, and then navigating among the pages
   in the index there.

----------------------------------------------------------------------
pythia8-8.1.86.orig/CODINGSTYLE0000644000175000017500000003650712357054674014076 0ustar  sunsunCoding Style

This file is only intended for contributors of code to Pythia 8. 
As a normal user you need not read it.

A reasonably consistent coding style enhances readability and 
understanding of code, so do take the time to make new code 
blend smoothly with the existing structure. That said, complete
consistency is impossible, and style must always come second to
content. So any rules should be applied with common sense. 

Remember to update the xmldoc documentation in parallel with the 
code updates. The xml rules are provided after the coding rules.

-----------------------------------------------------------------------

For the Pythia8 code some principles have been used, some by
deliberate decision, while others evolved organically. 
An incomplete list is as follows.

 1. Use existing files to get a feel for the general outlay. 
    (Especially the "core" files that have set the standard for
    later writing, e.g. Pythia, Event, or Basics.)  

 2. Use standard C++, in a clear and consistent manner. Do not 
    show off by using special tricks that only experts will 
    appreciate. Do not use any experimental language features. 

 3. English is the only allowed language (for comments, variable
    names, etc.).

 4. Lines should be at most 79 characters long, so that they do 
    not overflow when opened in an 80 characters wide text editor
    window. This number includes any trailing blanks, another
    "feature" that should be avoided. 
 
 5. Never make code dependent on the presence of external libraries.
    Some libraries, like LHAPDF and HepMC are already interfaced,
    but only in well-defined non-critical manners. If you want to
    include interfaces to new libraries, or modify the existing ones,
    you should bring it up for open discussion beforehand.

 6. The underscore "character" should be avoided as far as possible;
    it makes code difficult to read. See also point 24. Currently it 
    is only used in headers, for #ifndef Pythia8_filename_H. 

 7. Extra code used for debugging purposes, or left behind from
    the development process, even if commented out, should be
    removed from the public version. Feel free to save your own 
    private versions where such code is available.

 8. Begin each code file with 
// (filename) is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.
    to establish the legal structure. Follow that with specific
    information on authorship of the particular file, where relevant,
    and a very brief summary of the contents. After that follow with
    #include and other preprocessor commands and namespace Pythia8 {, 
    before the actual code. 

 9. Use lines  
//==========================================================================
    to separate classes from each other, and from top and bottom 
    material of a file, that does not belong to a class.

10. Use lines
//--------------------------------------------------------------------------
    for smaller subdivisions than above. Specifically, in .cc files,
    insert it between the different methods that belong to the same
    class. 

11. Blank lines should be used to separate the code into suitable
    chunks of statements that belong together. Never use two or
    more blank lines consecutively, however.

12. Begin each code chunk with one or more comment lines that 
    explains the purpose of this chunk. Do not overdo documentation,
    however: the purpose is to provide overview, not clutter.
 
13. Comment lines may also precede a particularly crucial statement
    inside a code chunk, without the need for a blank line before.

14. Do not add comments on the same line as a statement:
       a = b + c;   // No comment here!  

15. Write comments in terms of (cryptic but) correct English, with
    relevant punctuation.

16. Do not use /* .... */ : not for code because all such code 
    should have been removed in the first place (point 7), and not 
    for comments since intent is more obvious if all comment lines
    begin with //.
  
17. Indent two further steps for each new logical substructure
    (loops, conditional statements, etc.). The namespace {, public:
    and private: are exceptions to this rule, requiring no extra
    indentation. 

18. Do not use tabs for formatting; it may give a mess when read by 
    another user. 

19. Use exactly one space to separate logical structures and operators:
    if (a == b) then {
    If readibility can be improved by lining up nearby statements then
    this is allowed to take precedence, however:
    int    iNew = 0;
    double pm   = 0.;
 
20. One area of inconsistency is whether a blank is used after ( or not:
    void status(int statusIn) {statusSave = statusIn;}
    virtual void set1Kin( double x1in, double x2in, double sHin);
    If there is a thought, it is that for short constructions a blank
    tends to unnecessarily break up the structure, while for longer ones
    such breaks are necessary to gain overview. Similarly ( ( may often
    be used to give better structure than ((.

21. Allow several statements on the same line in header files, since
    operations here should be simple and short. Avoid it in .cc files,
    where one may want to more carefully study the logical structure,
    and could more easily miss statements that way.

22. Do not use pointers more than you absolutely need to. For most usage
    a reference is much nicer, but unfortunetely it cannot be saved.
    If you need a pointer, have its name end with Ptr, so it is easily
    recognized. In declarations the * goes with the pointer type:
    Info* infoPtr;  
    rather than e.g. Info *infoPtr. 

23. Class names should begin with a capital letter, whereas instances of
    this class begin lowercase. Also methods and local variable names 
    should begin lowercase. Only static const VARIABLENAME are given in 
    uppercase throughout. 

24. Use capitalization inside a word to help reading, e.g.
    pAbs, toCMframe, useNewBeamShape, skipInit.
    Descriptive names are helpful, but don't make them longer than 
    they have to (thisVariableSumsAllDiagonalMatrixElements is better
    replaced by sumDiag).

25. It is useful if index names begin with an i (or j, k if several 
    are needed) and sizes with an n.
 
26. Pick ++i instead of i++, unless the latter is intentional.
    Recall that ++i is updated at the point it is encountered, 
    while i++ implies it need only be updated after other operations
    have taken place, which can be confusing.

27. Use int for all integers, except where potential overflow warrants
    long, and avoid unsigned integers. 

28. Use double for all real variables.

29. Use the Pythia complex type for all complex variables, defined by
    typedef std::complex complex;
    in PythiaComplex.h

30. Use the Pythia Vec4 class for four-vectors.

31. Use string for all text, except when C++ leaves you no option but
    to use char or char*, e.g. for the name of a file to be opened.

32. Use the Boolean operators &&, || and !, not the alternative old
    cleartext "and", "or" and "not".

33. Do not use cast notation where function style is possible,
    i.e. int i = int(r); rather than int i = (int)r;.

34. Do not use typedef (except in point 29 above). 

35. Units of GeV for energies and mm for distances are implicit,
    with c = 1 so the same units can be used for momentum, mass 
    and time.

36. If an expression needs to be split over lines, let the new line
    begin with an operator, so that the reason for several lines is 
    apparent:
    double sum = a + b + c + d
               + e + f + g;
    alternatively
    double sum = a + b + c + d
      + e + f + g;
    (i.e. lined-up or indented-two-steps, whatever is most convenient). 

37. Be very restrictive with output from your methods. Some limited
    initialization info may be relevant, but desist if you can.
    During running printing should either be located in special methods 
    that the user has to call explicitly (with ostream& os = cout as 
    last argument) or, for error messages, make use of the 
    Info::errorMsg(..) method.

38. No global variables. It should be possible to have several 
    instances of Pythia running without any risk of interference
    between them. 

39. Do not have a { on a line of its own, but allow a lone } at
    the very end of the conditions/loops (or, for longer pieces of 
    code, at the end of each conditions case):
    if (isCharged) {
      statements;
    } else {
      more statements; 
    } 

40. Use the standard constant M_PI for the value of pi = 3.141592...

41. Use pow2(double), pow3(double), pow4(double), pow5(double) and 
    pow6(double) for small positive integer powers, since the standard
    pow(double, double) can be very slow for such operations.

42. The event record, both the process and event ones, are always 
    passed as references rather than pointers. This allows notation 
    like event[i].p() rather than (*eventPtr)[i].p(); note that 
    eventPtr[i]->p() is not allowed C++ notation. 

43. Use standard names for some of the other class instances, like
    infoPtr, particleDataPtr, rndmPtr, beamAPtr, beamBPtr, couplingsPtr,
    partonSystemsPtr, userHooksPtr, etc..The Settings database is normally
    only interrogated during initializations, so is usually passad as
    reference settings rather than pointer settingsPtr.

44. Only use == and != for comparisons between two pointers,  
    or a pointer and 0. Thus comparisons like (Xptr > 0) are forbidden.

-----------------------------------------------------------------------

Remember to update the xmldoc documentation in parallel with the 
code updates. All the details should make it directly into the 
respective webpage, with UpdateHistory.xml only giving a very 
brief summary. (This is different from Pythia 6, where the update
notes had to be complete.)

The xml notes are not intended to be read by users, who instead will
access the html and php equivalents. The translation from xml to 
html and php is done with a specially written conversion program.
This program is not distributed with the code, to avoid abuse by 
users, but will be run from time to time. The program handles a set
of new tags, and additionally you can use many standard html ones,
which are passed on without any action. 

Outlined below is the set of xml tags in current use, that are 
covered by a translation program. Also a few other open issues.

We try to stick with xml rules, e.g. ... for pair
and  for single (=combined begin+end). Note that the parsing 
of the conversion program assumes a "sensible" layout of the text. 

A) Standard html concepts:

       a top-level header;

       a subheader;

       a subsubheader;

       a subsubsubheader;

       a new line;

       a new paragraph;

         an ordered list, with 
      1.  items;

           a bulleted list, with 
        •  items;

        •  an item in an ordered or bulleted list;

           a definition list (used for references);

           a definition term in a definition list;

           a definition text in a definition list;
 boldface;
 italics - will be used for typesetting formulae so avoid for text;
 inline computer code (teletype font);

           a piece of code, with linebreaks as formatted (teletype font); 
 anchor;
 : only used in Welcome.xml;
 : only used in Welcome.xml;
... only used in Index.xml;
 and  around SaveSettings dialog box.

B) New concepts for simple markup (no interactivity):
 a large chunk of text, 
    stored as one single xml file;
 text to be displayed on a separate line, centered if possible 
    (a poor man's equation), maybe typeset in italics ();
 inline variant of above;
 text begun on new line, in boldface;
 text begun, no linebreak, in boldface;
 name of a program file (new paragraph, boldface);
 information on a specific class,
    specifically the class creation command form;
 explanation of a class method;
 a class method to be listed closely
    together with the previous one, since they belong together;
 an argument of 
    the class creation or another method in the class, optionally 
    with a default value:
 further explanation of an 
    allowed option of an argument.   

C) New concepts for user interaction in php files (but no interactivity 
in html):
 
    reference to an article; replaced by [...] and anchor;
 
    anchor among local pages; automatically fills with file type and
    target="page";
 
    anchor from Index.xml to other files; automatically fills with 
    file type and target="page";
 
    a switch to be used in the event generation; in php shown with 
    radio buttons to pick on (= yes, true) or off (= no, false), 
    written to file as a line with name = value; 

    ditto but no interactivity;

    an integer value to be used in the event generation; in php
    shown as a dialogue box where an integer can be typed in, and
    written to file as a line with name = value; the min and max values 
    are optional; 

    an integer value to be used in the event generation; unlike modeopen 
    above there is a fixed set of 
    a discrete set of options for a , see above;

    ditto but no interactivity;

    a double-precision value to be used in the event generation; in php
    shown as a dialogue box where a real number can be typed in, and
    written to file as a line with name = value; the min and max values 
    are optional; 

    ditto but no interactivity;

    a character string, without blanks, to be used in the event generation
    mainly for file names; in php shown as a dialogue box where text can be 
    typed in, and written to file as a line with name = value;

    ditto but no interactivity;

D) New concepts that could one day be made interactive, but currently 
are not:

    the properties of a particle, most of which are optional;

    the properties of a decay channel; this tag can only appear inside a
    ... block; the meMode field is optional; the
    products appear as a blank-separated list.
pythia8-8.1.86.orig/phpdoc/0000755000175000017500000000000012357054757013633 5ustar  sunsunpythia8-8.1.86.orig/phpdoc/BeamShape.php0000644000175000017500000001060412357553536016171 0ustar  sunsun

Beam Shape






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          Beam Shape
           
 
The ";?>Beam Parameters 
page explains how you can set a momentum spread of the two incoming 
beams, and a spread and offset for the location of the interaction 
vertex. The spread is based on a simple parametrization in terms of 
independent Gaussians, however, which is likely to be too primitive 
for realistic applications. 
 

           
It is therefore possible to define your own class, derived from the 
BeamShape base class, and hand it in to Pythia with the 
";?> 
pythia.setBeamShapePtr( BeamShape*) method. 
Below we describe what such a class has to do. An explicit toy example 
is shown in main23.cc. 
 

           
The BeamShape base class has a very simple structure. 
It only has two main virtual methods. The first, init(), is 
used for initialization. The second, pick(), selects 
beam momentum and production vertex in the current event. 
 


          BeamShape::BeamShape()   
          
   
virtual BeamShape::~BeamShape()   
          
the constructor and destructor do not need to do anything. 
   
 


          virtual void BeamShape::init( Settings& settings, Rndm* rndmPtrIn)   
          
the base-class method simply reads in the relevant values stored 
in the Settings data base, and saves a pointer to the 
random-number generator. You are free to write your own 
derived initialization routine, or use the existing one. In the 
latter case you can then give your own modified interpretation 
to the beam spread parameters defined there. 

          The two flags Beams:allowMomentumSpread and 
Beams:allowVertexSpread should not be tampered with, 
however. These are checked elsewhere to determine whether the beam 
shape should be set or not, whereas the other momentum-spread 
and vertex-spread parameters are local to this class. 
   
 


          virtual void BeamShape::pick()   
          
this method is the key one to supply in the derived class. Here you 
are free to pick whatever parametrization you desire for beam momenta 
and vertex position, including correlations between the two. 
At the end of the day, you should set a few protected 
double numbers: 

          deltaPxA, deltaPyA, deltaPzA for the three-momentum 
shift of the first incoming beam, relative to the nominal values; 

          deltaPxB, deltaPyB, deltaPzB for the three-momentum 
shift of the second incoming beam, relative to the nominal values; 

          vertexX, vertexY, vertexZ, vertexT for the 
production-vertex position and time. 

          As usual, momentum is given in GeV, and space and time in mm, 
with c = 1. 
   
 


          Vec4 BeamShape::deltaPA()   
          
   
Vec4 BeamShape::deltaPB()   
          
read out the three-momentum shifts for beams A and B that were set by 
pick(). The energy components are put to zero at this stage, 
since they are most conveniently calculated after the original and the 
shift three-momenta have been added. 
   
 


          Vec4 BeamShape::vertex()   
          
read out the production-vertex position and time that were set by 
pick(). 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/ASecondHardProcess.php0000644000175000017500000006152512357553536020026 0ustar  sunsun

A Second Hard Process






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          A Second Hard Process
           
 
When you have selected a set of hard processes for hadron beams, the 
";?>multiparton interactions 
framework can add further interactions to build up a realistic 
underlying event. These further interactions can come from a wide 
variety of processes, and will occasionally be quite hard. They 
do represent a realistic random mix, however, which means one cannot 
predetermine what will happen. Occasionally there may be cases 
where one wants to specify also the second hard interaction rather 
precisely. The options on this page allow you to do precisely that. 
 


          SecondHard:generate  On
Off
   (default = off)
          
Generate two hard scatterings in a collision between hadron beams. 
The hardest process can be any combination of internal processes, 
available in the normal ";?>process 
selection machinery, or external input. Here you must further 
specify which set of processes to allow for the second hard one, see 
the following. 
   
 

          Process Selection
           
 
In principle the whole ";?>process 
selection allowed for the first process could be repeated 
for the second one. However, this would probably be overkill. 
Therefore here a more limited set of prepackaged process collections 
are made available, that can then be further combined at will. 
Since the description is almost completely symmetric between the 
first and the second process, you always have the possibility 
to pick one of the two processes according to the complete list 
of possibilities. 
 

           
Here comes the list of allowed sets of processes, to combine at will: 
 


          SecondHard:TwoJets  On
Off
   (default = off)
          
Standard QCD 2 → 2 processes involving gluons and 
d, u, s, c, b quarks. 
   
 


          SecondHard:PhotonAndJet  On
Off
   (default = off)
          
A prompt photon recoiling against a quark or gluon jet. 
 


          SecondHard:TwoPhotons  On
Off
   (default = off)
          
Two prompt photons recoiling against each other. 
 


          SecondHard:Charmonium  On
Off
   (default = off)
          
Production of charmonium via colour singlet and colour octet channels. 
 


          SecondHard:Bottomonium  On
Off
   (default = off)
          
Production of bottomonium via colour singlet and colour octet channels. 
 


          SecondHard:SingleGmZ  On
Off
   (default = off)
          
Scattering q qbar → gamma^*/Z^0, with full interference 
between the gamma^* and Z^0. 
   
 


          SecondHard:SingleW  On
Off
   (default = off)
          
Scattering q qbar' → W^+-. 
   
 


          SecondHard:GmZAndJet  On
Off
   (default = off)
          
Scattering q qbar → gamma^*/Z^0 g and 
q g → gamma^*/Z^0 q. 
   
 


          SecondHard:WAndJet  On
Off
   (default = off)
          
Scattering q qbar' → W^+- g and 
q g → W^+- q'. 
   
 


          SecondHard:TopPair  On
Off
   (default = off)
          
Production of a top pair, either via QCD processes or via an 
intermediate gamma^*/Z^0 resonance. 
   
 


          SecondHard:SingleTop  On
Off
   (default = off)
          
Production of a single top, either via a t- or 
an s-channel W^+- resonance. 
   
 

           
A further process collection comes with a warning flag: 
 


          SecondHard:TwoBJets  On
Off
   (default = off)
          
The q qbar → b bbar and g g → b bbar processes. 
These are already included in the TwoJets sample above, 
so it would be double-counting to include both, but we assume there 
may be cases where the b subsample will be of special interest. 
This subsample does not include flavour-excitation or gluon-splitting 
contributions to the b rate, however, so, depending 
on the topology if interest, it may or may not be a good approximation. 
   
 

          Cuts and scales
           
 
The second hard process obeys exactly the same selection rules for 
";?>phase space cuts and 
";?>couplings and scales 
as the first one does. Specifically, a pTmin cut for 
2 → 2 processes would apply to the first and the second hard 
process alike, and ballpark half of the time the second could be 
generated with a larger pT than the first. (Exact numbers 
depending on the relative shape of the two cross sections.) That is, 
first and second is only used as an administrative distinction between 
the two, not as a physics ordering one. 
 

           
Optionally it is possible to pick the mass and pT 
";?>phase space cuts separately for 
the second hard interaction. The main application presumably would 
be to allow a second process that is softer than the first, but still 
hard. But one is also free to make the second process harder than the 
first, if desired. So long as the two pT (or mass) ranges 
overlap the ordering will not be the same in all events, however. 
 

          Cross-section calculation
           
 
As an introduction, a brief reminder of Poissonian statistics. 
Assume a stochastic process in time, for now not necessarily a 
high-energy physics one, where the probability for an event to occur 
at any given time is independent of what happens at other times. 
Then the probability for n events to occur in a finite 
time interval is 

           
P_n = <n>^n exp(-<n>) / n! 

           
where <n> is the average number of events. If this 
number is small we can approximate exp(-<n>) = 1 , 
so that P_1 = <n> and 
P_2 = <n>^2 / 2 = P_1^2 / 2. 
 

           
Now further assume that the events actually are of two different 
kinds a and b, occurring independently of each 
other, such that <n> = <n_a> + <n_b>. 
It then follows that the probability of having one event of type 
a (or b) and nothing else is 
P_1a = <n_a> (or P_1b = <n_b>). 
From 

           
P_2 = (<n_a> + <n_b>)^2 / 2 = (P_1a + P_1b)^2 / 2 = 
(P_1a^2 + 2 P_1a P_1b + P_1b^2) / 2 

           
it is easy to read off that the probability to have exactly two 
events of kind a and none of b is 
P_2aa = P_1a^2 / 2 whereas that of having one a 
and one b is P_2ab = P_1a P_1b. Note that the 
former, with two identical events, contains a factor 1/2 
while the latter, with two different ones, does not. If viewed 
in a time-ordered sense, the difference is that the latter can be 
obtained two ways, either first an a and then a b 
or else first a b and then an a. 
 

           
To translate this language into cross-sections for high-energy 
events, we assume that interactions can occur at different pT 
values independently of each other inside inelastic nondiffractive 
(sometimes equated with "minbias") events. Then the above probabilities 
translate into 
P_n = sigma_n / sigma_ND where sigma_ND is the 
total nondiffractive cross section. Again we want to assume that 
exp(-<n>) is close to unity, i.e. that the total 
hard cross section above pTmin is much smaller than 
sigma_ND. The hard cross section is dominated by QCD 
jet production, and a reasonable precaution is to require a 
pTmin of at least 20 GeV at LHC energies. 
(For 2 → 1 processes such as 
q qbar → gamma^*/Z^0 (→ f fbar) one can instead make a 
similar cut on mass.) Then the generic equation 
P_2 = P_1^2 / 2 translates into 
sigma_2/sigma_ND = (sigma_1 / sigma_ND)^2 / 2 or 
sigma_2 = sigma_1^2 / (2 sigma_ND). 
 

           
Again different processes a, b, c, ... contribute, 
and by the same reasoning we obtain 
sigma_2aa = sigma_1a^2 / (2 sigma_ND), 
sigma_2ab = sigma_1a sigma_1b / sigma_ND, 
and so on. 
 

           
There is one important correction to this picture: all collisions 
do no occur under equal conditions. Some are more central in impact 
parameter, others more peripheral. This leads to a further element of 
variability: central collisions are likely to have more activity 
than the average, peripheral less. Integrated over impact 
parameter standard cross sections are recovered, but correlations 
are affected by a "trigger bias" effect: if you select for events 
with a hard process you favour events at small impact parameter 
which have above-average activity, and therefore also increased 
chance for further interactions. (In PYTHIA this is the origin 
of the "pedestal effect", i.e. that events with a hard interaction 
have more underlying activity than the level found in minimum-bias 
events.) 
 

           
When you specify a matter overlap profile in the multiparton-interactions 
scenario, such an enhancement/depletion factor f_impact is 
chosen event-by-event and can be averaged during the course of the run. 
As an example, the double Gaussian form used in Tune A gives 
approximately <f_impact> = 2.5. In general, the more 
uneven the distribution the higher the <f_impact>. 
Also the pT0 parameter value has an impact, even if it is 
less important over a realistic range of values, although it implies 
that <f_impact> is energy-dependent. The origin of this 
effect is as follows. A lower pT0 implies more MPI activity 
at all impact parameters, so that the nondiffractive cross section 
sigma_ND increases, or equivalently the proton size. But if 
sigma_ND is fixed by data then the input radius of the matter 
overlap profile (not explicitly specified but implicitly adjusted at 
initialization) has to be shrunk  so that the output value can stay 
constant. This means that the proton matter is more closely packed and 
therefore <f_impact> goes up. 
 
 

           
The above equations therefore have to be modified to 
sigma_2aa = <f_impact> sigma_1a^2 / (2 sigma_ND), 
sigma_2ab = <f_impact> sigma_1a sigma_1b / sigma_ND. 
Experimentalists often instead use the notation 
sigma_2ab = sigma_1a sigma_1b / sigma_eff, 
from which we see that PYTHIA "predicts" 
sigma_eff = sigma_ND / <f_impact>. 
When the generation of multiparton interactions is switched off it is 
not possible to calculate <f_impact> and therefore 
it is set to unity. 
 

           
When this recipe is to be applied to calculate 
actual cross sections, it is useful to distinguish three cases, 
depending on which set of processes are selected to study for 
the first and second interaction. 
 

           
(1) The processes a for the first interaction and 
b for the second one have no overlap at all. 
For instance, the first could be TwoJets and the 
second TwoPhotons. In that case, the two interactions 
can be selected independently, and cross sections tabulated 
for each separate subprocess in the two above classes. At the 
end of the run, the cross sections in a should be multiplied 
by <f_impact> sigma_1b / sigma_ND to bring them to 
the correct overall level, and those in b by 
<f_impact> sigma_1a / sigma_ND. 
  

           
(2) Exactly the same processes a are selected for the 
first and second interaction. In that case it works as above, 
with a = b, and it is only necessary to multiply by an 
additional factor 1/2. A compensating factor of 2 
is automatically obtained for picking two different subprocesses, 
e.g. if TwoJets is selected for both interactions, 
then the combination of the two subprocesses q qbar → g g 
and g g → g g can trivially be obtained two ways. 
  

           
(3) The list of subprocesses partly but not completely overlap. 
For instance, the first process is allowed to contain a 
or c and the second b or c, where 
there is no overlap between a and b. Then, 
when an independent selection for the first and second interaction 
both pick one of the subprocesses in c, half of those 
events have to be thrown, and the stored cross section reduced 
accordingly. Considering the four possible combinations of first 
and second process, this gives a 

           
sigma'_1 = sigma_1a + sigma_1c * (sigma_2b + sigma_2c/2) / 
(sigma_2b + sigma_2c) 

           
with the factor 1/2 for the sigma_1c sigma_2c term. 
At the end of the day, this sigma'_1 should be multiplied 
by the normalization factor 

           
f_1norm = <f_impact> (sigma_2b + sigma_2c) / sigma_ND 

           
here without a factor 1/2 (or else it would have been 
double-counted). This gives the correct 

           
(sigma_2b + sigma_2c) * sigma'_1 = sigma_1a * sigma_2b 
+ sigma_1a * sigma_2c + sigma_1c * sigma_2b + sigma_1c * sigma_2c/2 

           
The second interaction can be handled in exact analogy. 
 

           
For the considerations above it is assumed that the phase space cuts 
are the same for the two processes. It is possible to set the mass and 
transverse momentum cuts differently, however. This changes nothing 
for processes that already are different. For two collisions of the 
same type it is partly a matter of interpretation what is intended. 
If we consider the case of the same process in two non-overlapping 
phase space regions, most likely we want to consider them as 
separate processes, in the sense that we expect a factor 2 relative 
to Poissonian statistics from either of the two hardest processes 
populating either of the two phase space regions. In total we are 
therefore lead to adopt the same strategy as in case (3) above: 
only in the overlapping part of the two allowed phase space regions 
could two processes be identical and thus appear with a 1/2 factor, 
elsewhere the two processes are never identical and do not 
include the 1/2 factor. We reiterate, however, that the case of 
partly but not completely overlapping phase space regions for one and 
the same process is tricky, and not to be used without prior 
deliberation. 
 

           
The listing obtained with the pythia.statistics() 
already contain these corrections factors, i.e. cross sections 
are for the occurrence of two interactions of the specified kinds. 
There is not a full tabulation of the matrix of all the possible 
combinations of a specific first process together with a specific 
second one (but the information is there for the user to do that, 
if desired). Instead pythia.statistics() shows this 
matrix projected onto the set of processes and associated cross 
sections for the first and the second interaction, respectively. 
Up to statistical fluctuations, these two sections of the 
pythia.statistics() listing both add up to the same 
total cross section for the event sample. 
 

           
There is a further special feature to be noted for this listing, 
and that is the difference between the number of "selected" events 
and the number of "accepted" ones. Here is how that comes about. 
Originally the first and second process are selected completely 
independently. The generation (in)efficiency is reflected in the 
different number of initially tried events for the first and second 
process, leading to the same number of selected events. While 
acceptable on their own, the combination of the two processes may 
be unacceptable, however. It may be that the two processes added 
together use more energy-momentum than kinematically allowed, or, 
even if not, are disfavoured when the PYTHIA approach to provide 
correlated parton densities is applied. Alternatively, referring 
to case (3) above, it may be because half of the events should 
be thrown for identical processes. Taken together, it is these 
effects that reduced the event number from "selected" to "accepted". 
(A further reduction may occur if a 
";?>user hook rejects some events.) 
 

           
It is allowed to use external Les Houches Accord input for the 
hardest process, and then pick an internal one for the second hardest. 
In this case PYTHIA does not have access to your thinking concerning 
the external process, and cannot know whether it overlaps with the 
internal or not. (External events q qbar' → e+ nu_e could 
agree with the internal W ones, or be a W' resonance 
in a BSM scenario, to give one example.) Therefore the combined cross 
section is always based on the scenario (1) above. Corrections for 
correlated parton densities are included also in this case, however. 
That is, an external event that takes a large fraction of the incoming 
beam momenta stands a fair chance of being rejected when it has to be 
combined with another hard process. For this reason the "selected" and 
"accepted" event numbers are likely to disagree. 
 

           
In the cross section calculation above, the sigma'_1 
cross sections are based on the number of accepted events, while 
the f_1norm factor is evaluated based on the cross sections 
for selected events. That way the suppression by correlations 
between the two processes does not get to be double-counted. 
 

           
The pythia.statistics() listing contains two final 
lines, indicating the summed cross sections sigma_1sum and 
sigma_2sum for the first and second set of processes, at 
the "selected" stage above, plus information on the sigma_ND 
and <f_impact> used. The total cross section 
generated is related to this by 

           
<f_impact> * (sigma_1sum * sigma_2sum / sigma_ND) * 
(n_accepted / n_selected) 

           
 with an additional factor of 1/2 for case 2 above. 
 

           
The error quoted for the cross section of a process is a combination 
in quadrature of the error on this process alone with the error on 
the normalization factor, including the error on 
<f_impact>. As always it is a purely statistical one 
and of course hides considerably bigger systematic uncertainties. 
 

          Event information
           
 
Normally the process event record only contains the 
hardest interaction, but in this case also the second hardest 
is stored there. If both of them are 2 → 2 ones, the 
first would be stored in lines 3 - 6 and the second in 7 - 10. 
For both, status codes 21 - 29 would be used, as for a hardest 
process. Any resonance decay chains would occur after the two 
main processes, to allow normal parsing. The beams in 1 and 2 
only appear in one copy. This structure is echoed in the 
full event event record. 
 

           
Most of the properties accessible by the 
";?>pythia.info 
methods refer to the first process, whether that happens to be the 
hardest or not. The code and pT scale of the second process 
are accessible by the info.codeMPI(1) and 
info.pTMPI(1), however. 
 

           
The sigmaGen() and sigmaErr() methods provide 
the cross section and its error for the event sample as a whole, 
combining the information from the two hard processes as described 
above. In particular, the former should be used to give the 
weight of the generated event sample. The statistical error estimate 
is somewhat cruder and gives a larger value than the 
subprocess-by-subprocess one  employed in 
pythia.statistics(), but this number is 
anyway less relevant, since systematical errors are likely to dominate. 
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/ElectroweakProcesses.php0000644000175000017500000005562112357553536020510 0ustar  sunsun

Electroweak Processes






SETTINGS SAVED TO FILE

          "; }
else {
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          "; }
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?>


          
 

          Electroweak Processes
           
 
This page contains processes involving Prompt-photon, gamma^*/Z^0 
and W^+- production, plus a few with t-channel boson 
exchange. 
 

          Prompt photon processes
           
 
This group collects the processes where one or two photons are 
produced by the hard process. Additional sources of photons 
include parton showers and hadron decays. A pT cut 
is required to stay away from the unphysical low-pT region. 
An eikonalized description, intended to be valid at all pT, 
is included as part of the multiparton-interactions framework. 
 


          PromptPhoton:all  On
Off
   (default = off)
          
Common switch for the group of all prompt photon processes, 
as listed separately in the following. 
   
 


          PromptPhoton:qg2qgamma  On
Off
   (default = off)
          
Scattering q g → q gamma. 
Code 201. 
   
 


          PromptPhoton:qqbar2ggamma  On
Off
   (default = off)
          
Scattering q qbar → g gamma. 
Code 202. 
   
 


          PromptPhoton:gg2ggamma  On
Off
   (default = off)
          
Scattering g g → g gamma. 

          Note: This is a box graph. The full quark-mass dependence 
in the loop leads to very complicated expressions. The current 
implementation is based on assuming five massless quarks (see below), 
and thus is questionable at small (pT < m_b) or large 
(pT > m_t) transverse momenta. 
Code 203. 
   
 


          PromptPhoton:ffbar2gammagamma  On
Off
   (default = off)
          
Scattering q qbar → gamma gamma. 
Code 204. 
   
 


          PromptPhoton:gg2gammagamma  On
Off
   (default = off)
          
Scattering g g → gamma gamma. 

          Note: This is a box graph. The full quark-mass dependence 
in the loop leads to very complicated expressions. The current 
implementation is based on assuming five massless quarks (see below), 
and thus is questionable at small (pT < m_b) or large 
(pT > m_t) transverse momenta. 
Code 205. 
   
 


          PromptPhoton:nQuarkLoop       (default = 5; minimum = 3; maximum = 6)
          
Number of quark flavours included in the box graphs responsible for 
g g → g gamma and g g→ gamma gamma processes. 
Owing to the complexity if the massive expressions, quarks are treated 
as massless. The default value should be applicable in the range of 
transverse momenta above the b mass but below the t one. 
   
 

          Weak boson processes
           
 
Under this heading we group processes involving the production 
of a single electroweak gauge boson, i.e. a gamma^*/Z^0 
or a W^+-, or a pair of them, or one of them in 
combination with a parton. Since the three sets are partly 
conflicting, each is associated with its own group flag. 
In addition, t-channel exchange of such a boson 
between two fermions form a separate group. 
 

           
There is one flag that can be used to influence the gamma^*/Z^0 
structure in all the processes below where it is produced, unless 
otherwise stated. 


          WeakZ0:gmZmode      (default = 0; minimum = 0; maximum = 2)
          
Choice of full gamma^*/Z^0 structure or not in relevant 
processes. 

          
0 : full gamma^*/Z^0 structure,  with interference included.
          
1 : full gamma^*/Z^0 structure,  with interference included.
          
2 : full gamma^*/Z^0 structure,  with interference included.
          

          Note: irrespective of the option used, the particle produced 
will always be assigned code 23 for Z^0, and open decay channels 
is purely dictated by what is set for the Z^0. 
 

          Boson exchange
           
 
The two processes in this subgroup is included as part of the 
multiparton-interactions framework. 
 


          WeakBosonExchange:all  On
Off
   (default = off)
          
Common switch for the group of gamma^*/Z^0 
or W^+- exchange between two fermions. 
   
 


          WeakBosonExchange:ff2ff(t:gmZ)  On
Off
   (default = off)
          
Scattering f f' → f f' via           gamma^*/Z^0           
t-channel exchange, with full interference 
between the gamma^* and Z^0. 
Code 211. 
   
 


          WeakBosonExchange:ff2ff(t:W)  On
Off
   (default = off)
          
Scattering f_1 f_2 → f_3 f_4 via           W^+-           
t-channel exchange. 
Code 212. 
   
 

          Single boson
           
 


          WeakSingleBoson:all  On
Off
   (default = off)
          
Common switch for the group of a single gamma^*/Z^0 
or W^+- production. 
   
 


          WeakSingleBoson:ffbar2gmZ  On
Off
   (default = off)
          
Scattering f fbar → gamma^*/Z^0, with full interference 
between the gamma^* and Z^0. 
Code 221. 
   
 


          WeakSingleBoson:ffbar2W  On
Off
   (default = off)
          
Scattering f fbar' → W^+-. 
Code 222. 
   
 


          WeakSingleBoson:ffbar2ffbar(s:gm)  On
Off
   (default = off)
          
Scattering f fbar → gamma^* → f' fbar'. Subset of 
process 221, but written as a 2 → 2 process, so that 
pT can be used as ordering variable, e.g. in multiparton 
interactions. Hardcoded for the final state being either of the 
five quark flavours or three lepton ones. Not included in the 
WeakSingleBoson:all set, but included in the 
multiparton-interactions framework. 
Code 223. 
   
 


          WeakSingleBoson:ffbar2ffbar(s:gmZ)  On
Off
   (default = off)
          
Scattering f fbar → gamma^*/Z^0 → f' fbar'. Equivalent 
to process 221, but written as a 2 → 2 process, so that 
pT could be used as cut or ordering variable. Final-state 
flavour selection is based on the Z^0 allowed decay modes, 
and the WeakZ0:gmZmode options are implemented. 
Not included in the WeakSingleBoson:all set. 
Code 224. 
   
 


          WeakSingleBoson:ffbar2ffbar(s:W)  On
Off
   (default = off)
          
Scattering f_1 fbar_2 → W+- → f_3 f_4. Almost equivalent 
to process 222, but written as a 2 → 2 process, so that 
pT could be used as cut or ordering variable. Final-state 
flavour selection is based on the W allowed decay modes. 
There are two simplifications relative to the implementation in 
process 222. Firstly, it is not possible to set different decay modes 
for the W^+ and the W^-; instead the allowed 
W^+ ones will be used throughout, with charge conjugation 
for the W^-. Secondly, quark mass corrections are neglected 
in the decay angular distribution. 
Not included in the WeakSingleBoson:all set. 
Code 225. 
   
 

          Boson pair
           
 
Note that, in the decay of the two vector bosons produced by an 
f fbar → V V process, the full four-fermion correlations 
from the leading-order f fbar → V V → 4f matrix elements 
are included [Gun86] (with some extensions by the authors). 
The matrix elements are provided in the double-resonant approach, i.e. 
excludes graph like 
f fbar → V → f fbar → f fbar V → 4f. 
 


          WeakDoubleBoson:all  On
Off
   (default = off)
          
Common switch for the group of pair production of gamma^*/Z^0 
and W^+-. 
   
  


          WeakDoubleBoson:ffbar2gmZgmZ  On
Off
   (default = off)
          
Scattering f fbar' → gamma^*/Z^0 gamma^*/Z^0. 
Code 231. 
   
 


          WeakDoubleBoson:ffbar2ZW  On
Off
   (default = off)
          
Scattering f fbar' → Z^0 W^+-. Note that here the 
gamma^* contribution is not (currently) included. 
Code 232. 
   
  


          WeakDoubleBoson:ffbar2WW  On
Off
   (default = off)
          
Scattering f fbar → W^+ W^-. 
Code 233. 
   
 

          Boson and parton
           
 


          WeakBosonAndParton:all  On
Off
   (default = off)
          
Common switch for the group of production of a single electroweak 
gauge boson, i.e. a gamma^*/Z^0 or a W^+-, in 
association with a parton, i.e. a quark, gluon, photon or lepton. 
These processes give first-order corrections to the ones in the 
WeakSingleBoson class, and both sets cannot be used 
simultaneously without unphysical double-counting. The current class 
should only be used to study the high-pT tail of the 
gauge-boson production processes (for LHC applications at least 
pT > 20 GeV), while the ones in WeakSingleBoson 
should be used for inclusive production. 
   
  


          WeakBosonAndParton:qqbar2gmZg  On
Off
   (default = off)
          
Scattering q qbar → gamma^*/Z^0 g. 
Code 241. 
   
  


          WeakBosonAndParton:qg2gmZq  On
Off
   (default = off)
          
Scattering q g → gamma^*/Z^0 q . 
Code 242. 
   
  


          WeakBosonAndParton:ffbar2gmZgm  On
Off
   (default = off)
          
Scattering f fbar → gamma^*/Z^0 gamma. 
Code 243. 
   
  


          WeakBosonAndParton:fgm2gmZf  On
Off
   (default = off)
          
Scattering f gamma →  gamma^*/Z^0 f. 
Code 244. 
   
  


          WeakBosonAndParton:qqbar2Wg  On
Off
   (default = off)
          
Scattering q qbar → W^+- g. 
Code 251. 
   
  


          WeakBosonAndParton:qg2Wq  On
Off
   (default = off)
          
Scattering q g → W^+- q. 
Code 252. 
   
  


          WeakBosonAndParton:ffbar2Wgm  On
Off
   (default = off)
          
Scattering f fbar → W^+- gamma. 
Code 253. 
   
  


          WeakBosonAndParton:fgm2Wf  On
Off
   (default = off)
          
Scattering f gamma → W^+- f. 
Code 254. 
   
 

           Photon Collision Processes
           
 
A few electroweak two-photon production processes are available. 
To use them, photon PDFs have to be defined for the incoming 
beam particles. For proton beams an appropriate set would be 
MRST QED 2004 [Mar05], available in the LHAPDF library. 
 


          PhotonCollision:all  On
Off
   (default = off)
          
Common switch for the group of six processes presented below. 
   
 


          PhotonCollision:gmgm2qqbar  On
Off
   (default = off)
          
Scatterings gamma gamma → q qbar, where q 
is a light quark (u, d, s) . 
Code 261. 
   
 


          PhotonCollision:gmgm2ccbar  On
Off
   (default = off)
          
Scattering gamma gamma → c cbar. 
Code 262. 
   
 


          PhotonCollision:gmgm2bbbar  On
Off
   (default = off)
          
Scattering gamma gamma → b bbar. 
Code 263. 
   
 


          PhotonCollision:gmgm2ee  On
Off
   (default = off)
          
Scattering gamma gamma → e+ e-. 
Code 264. 
   
 


          PhotonCollision:gmgm2mumu  On
Off
   (default = off)
          
Scattering gamma gamma → mu+ mu-. 
Code 265. 
   
 


          PhotonCollision:gmgm2tautau  On
Off
   (default = off)
          
Scattering gamma gamma → tau+ tau-. 
Code 266. 
   
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/EventRecord.php0000644000175000017500000006621412357553536016574 0ustar  sunsun

The Event Record






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          The Event Record
           
 
A Pythia instance contains two members of the 
Event class. The one called process provides 
a brief summary of the main steps of the hard process, while the 
one called event contains the full history. The 
user would normally interact mainly with the second one, so 
we will exemplify primarily with that one. 
 

           
The Event class to first approximation is a vector of 
Particles, so that it can expand to fit the current 
event size. The index operator is overloaded, so that e.g. 
event[i] corresponds to the i'th particle 
of the object event. Thus event[i].id() 
returns the identity of the i'th particle, and so on. 
Therefore the methods of the 
";?>Particle class 
are at least as essential as those of the Event class 
itself. 
 

           
As used inside PYTHIA, some conventions are imposed on the structure 
of the event record. Entry 0 of the vector<Particle> 
is used to represent the event as a whole, with its total four-momentum 
and invariant mass, but does not form part of the event history. 
Lines 1 and 2 contains the two incoming beams, and only from here on 
history tracing works as could be expected. That way unassigned mother 
and daughter indices can be put 0 without ambiguity. Depending on the 
task at hand, a loop may therefore start at index 1 rather than 0 
without any loss. Specifically, for translation to other event record 
formats such as HepMC [Dob01], where the first index is 1, the 
Pythia entry 0 definitely ought to be skipped in order to minimize the 
danger of indexing errors. 
 

           
In the following we will list the methods available. 
Only a few of them have a function to fill in normal user code. 
 

          Basic output methods
           
 
Some methods are available to read out information on the 
current event record: 
 


          Particle& Event::operator[](int i)   
          
   
const Particle& Event::operator[](int i)   
          
returns a (const) reference to the i'th particle 
in the event record, which can be used to get (or set) all the 
";?>properties of this particle. 
   
 


          Particle& Event::front()   
          
   
Particle& Event::at(int i)   
          
   
Particle& Event::back()   
          
   
returns a reference to the zeroth, i'th or last particle 
in the event record, as an alternative to the methods above. 
 


          int Event::size()   
          
The event size, i.e. the size of the vector<Particle>. 
Thus valid particles, to be accessed by the above indexing operator, 
are stored in the range 0 <= i < size(). See comment 
above about the (ir)relevance of entry 0. 
   
 


          void Event::list()   
          
   
void Event::list(ostream& os)   
          
   
void Event::list(bool showScaleAndVertex, bool showMothersAndDaughters = false)   
          
   
void Event::list(bool showScaleAndVertex, bool showMothersAndDaughters, ostream& os)   
          
Provide a listing of the whole event, i.e. of the 
vector<Particle>. The methods with fewer arguments 
call the final one with the respective default values, and are 
non-inlined so they can be used in a debugger. The basic identity 
code, status, mother, daughter, colour, four-momentum and mass data 
are always given, but the methods can also be called with a few 
optional arguments for further information: 

          argument showScaleAndVertex  (default = false) :  optionally give a 
second line for each particle, with the production scale (in GeV), 
the particle polarization (dimensionless), the production vertex 
(in mm or mm/c) and the invariant lifetime (also in mm/c). 
   

          argument showMothersAndDaughters  (default = false) :  
gives a list of all daughters and mothers of a particle, as defined by 
the motherList(i) and daughterList(i) methods 
described below. It is mainly intended for debug purposes. 
   

          argument os  (default = cout) :  a reference to the ostream 
object to which the event listing will be directed. 
   
 
   
 

           
Each Particle has two mother and two daughter indices. 
These may be used to encode zero, one, two or more mothers/daughters, 
depending on the combination of values and status code, according to 
well-defined ";?>rules. The 
two methods below can do this job easier for you. 
 


          vector<int> Event::motherList(int i)   
          
returns a vector of all the mother indices of the particle at index 
i. This list is empty for entries 0, 1 and 2, 
i.e. the "system" in line 0 is not counted as part of the history. 
Normally the list contains one or two mothers, but it can also be more, 
e.g. in string fragmentation the whole fragmenting system is counted 
as mothers to the primary hadrons. Many particles may have the same 
motherList. Mothers are listed in ascending order. 
   
 


          vector<int> Event::daughterList(int i)   
          
returns a vector of all the daughter indices of the particle at index 
i. This list is empty for a particle that did 
not decay (or, if the evolution is stopped early enough, a parton 
that did not branch), while otherwise it can contain a list of 
varying length, from one to many. For the two incoming beam particles, 
all shower initiators and beam remnants are counted as daughters, 
with the one in slot 0 being the one leading up to the hardest 
interaction. The "system" in line 0 does not have any daughters, 
i.e. is not counted as part of the history. Many partons may have the 
same daughterList. Daughters are listed in ascending order. 
   
 


          int Event::statusHepMC(int i)   
          
returns the status code according to the HepMC conventions agreed in 
February 2009. This convention does not preserve the full information 
provided by the internal PYTHIA status code, as obtained by 
Particle::status(), but comes reasonably close. 
The allowed output values are: 

             

          • 0 : an empty entry, with no meaningful information and therefore 
to be skipped unconditionally (should not occur in PYTHIA);
            •  

          • 1 : a final-state particle, i.e. a particle that is not decayed 
further by the generator (may also include unstable particles that 
are to be decayed later, as part of the detector simulation);
            •  

          • 2 : a decayed Standard Model hadron or tau or mu lepton, excepting 
virtual intermediate states thereof (i.e. the particle must undergo 
a normal decay, not e.g. a shower branching);
            •  

          • 3 : a documentation entry (not used in PYTHIA);
            •  

          • 4 : an incoming beam particle;
            •  

          • 11 - 200 : an intermediate (decayed/branched/...) particle that does 
not fulfill the criteria of status code 2, with a generator-dependent 
classification of its nature; in PYTHIA the absolute value of the normal 
status code is used.
            •  

           
   
 

          Further output methods
           
 
The above methods are the main ones that a normal user would make 
frequent use of. There are some further methods that also could come 
in handy, in the exploration of the history of an event, but where 
the outcome is not always obvious if one is not familiar with the 
detailed structure of an event record. 
 


          int Event::iTopCopy(int i)   
          
   
int Event::iBotCopy(int i)   
          
are used to trace carbon copies of the particle at index i up 
to its top mother or down to its bottom daughter. If there are no such 
carbon copies, i itself will be returned. A carbon copy is 
when the "same" particle appears several times in the event record, but 
with changed momentum owing to recoil effects. 
   
 


          int Event::iTopCopyId(int i)   
          
   
int Event::iBotCopyId(int i)   
          
also trace top mother and bottom daughter, but do not require carbon 
copies, only that one can find an unbroken chain, of mothers or daughters, 
with the same flavour id code. When it encounters ambiguities, 
say a g → g g branching or a u u → u u 
hard scattering, it will stop the tracing and return the current position. 
It can be confused by nontrivial flavour changes, e.g. a hard process 
u d → d u by W^+- exchange will give the wrong 
answer. These methods therefore are of limited use for common particles, 
in particular for the gluon, but should work well for "rare" particles. 
   
 


          vector<int> Event::sisterList(int i)   
          
returns a vector of all the sister indices of the particle at index 
i, i.e. all the daughters of the first mother, except the 
particle itself. 
   
 


          vector<int> Event::sisterListTopBot(int i, bool widenSearch = true)   
          
returns a vector of all the sister indices of the particle at index 
i, tracking up and back down through carbon copies 
if required. That is, the particle is first traced up with 
iTopCopy() before its mother is found, and then all 
the particles in the daughterList() of this mother are 
traced down with iBotCopy(), omitting the original 
particle itself. Any non-final particles are removed from the list. 
Should this make the list empty the search criterion is widened so that 
all final daughters are allowed, not only carbon-copy ones. That is, 
starting from the top mother, all its daughters are found, except for 
the traced-up one, and then all their daughters, and so on. This can 
produce quite extensive and rather useless output, notably when tracing 
parton showers. A second argument false inhibits the second 
step, and increases the risk that an empty list is returned. A typical 
example of this is for ISR cascades, e.g. e → e gamma where 
the photon may not have any obvious sister in the final state if the 
bottom copy of the photon is an electron that annihilates and thus is 
not part of the final state. 
   
 


          bool Event::isAncestor(int i, int iAncestor)   
          
traces the particle i upwards through mother, grandmother, 
and so on, until either iAncestor is found or the top of 
the record is reached. Normally one unique mother is required, 
as is the case e.g. in decay chains or in parton showers, so that 
e.g. the tracing through a hard scattering would not work. For 
hadronization, first-rank hadrons are identified with the respective 
string endpoint quark, which may be useful e.g. for b physics, 
while higher-rank hadrons give false. Currently also 
ministrings that collapsed to one single hadron and junction topologies 
give false. 
   
 

           
One data member in an Event object is used to keep track 
of the largest col() or acol() colour tag set 
so far, so that new ones do not clash. 
 


          Event:startColTag       (default = 100; minimum = 0; maximum = 1000)
          
This sets the initial colour tag value used, so that the first one 
assigned is startColTag + 1, etc. The Les Houches accord 
[Boo01] suggests this number to be 500, but 100 works equally 
well. 
   
 


          void Event::initColTag(int colTag = 0)   
          
forces the current colour tag value to be the larger of the input 
colTag and the above Event:startColTag 
values. 
   
 


          int Event::lastColTag()   
          
returns the current maximum colour tag. 
   
 


          int Event::nextColTag()   
          
increases the current maximum colour tag by one and returns this 
new value. This method is used whenever a new colour tag is needed. 
   
 

           
Many event properties are accessible via the Info class, 
";?>see here. Since they are used 
directly in the event generation, a few are stored directly in the 
Event class, however. 
 


          void Event::scale( double scaleIn)   
          
   
double Event::scale()   
          
set or get the scale (in GeV) of the hardest process in the event. 
Matches the function of the scale variable in the 
";?>Les Houches Accord. 
   
 


          void Event::scaleSecond( double scaleSecondIn)   
          
   
double Event::scaleSecond()   
          
set or get the scale (in GeV) of a second hard process in the event, 
in those cases where such a one 
";?>has been requested. 
   
 

          Constructors and modifications of the event record
           
  
Although you would not normally need to create your own 
Event instance, there may be times where that 
could be convenient. The typical example would be if you want to 
create a new event record that is the sum of a few different ones, 
e.g. if you want to simulate pileup events. There may also be cases 
where you want to add one or a few particles to an existing event 
record. 
 


          Event::Event(int capacity = 100)   
          
creates an empty event record, but with a reserved size 
capacity for the Particle vector. 
   
 


          Event& Event::operator=(const Event& oldEvent)   
          
copies the input event record. 
   
 


          Event& Event::operator+=(const Event& addEvent)   
          
appends an event to an existing one. For the appended particles 
mother, daughter and colour tags are shifted to make a consistent 
record. The zeroth particle of the appended event is not copied, 
but the zeroth particle of the combined event is updated to the 
full energy-momentum content. 
   
 


          void Event::init(string headerIn = "", ParticleData* particleDataPtrIn = 0, int startColTagIn = 100)   
          
initializes colour, the pointer to the particle database, and the 
header specification used for the event listing. We remind that a 
Pythia object contains two event records 
process and event. Thus one may e.g. 
call either  pythia.process.list() or 
pythia.event.list(). To distinguish those two rapidly 
at visual inspection, the "Pythia Event Listing" header 
is printed out differently, in one case adding 
"(hard process)" and in the other 
"(complete event)". When += is used to 
append an event, the modified event is printed with 
"(combination of several events)" as a reminder. 
   
 


          void Event::clear()   
          
empties event record. Specifically the Particle vector 
size is reset to zero. 
   
 


          void Event::reset()   
          
empties the event record, as clear() above, but then 
fills the zero entry of the Particle vector with the 
pseudoparticle used to represent the event as a whole. At this point 
the pseudoparticle is not assigned any momentum or mass. 
   
 


          void Event::popBack(int n = 1)   
          
removes the last n particle entries; must be a positive 
number. History (and other) information of remaning entries is 
untouched, and so may be internally inconsistent. 
   
 


          void Event::remove(int iFirst, int iLast)   
          
removes particles in the range between indices iFirst 
and iLast, including the endpoints. History (and other) 
information of remaning entries is untouched, and so may be internally 
inconsistent. 
   
 


          bool Event::undoDecay(int i)   
          
removes the decay chain of the particle i and thus restores 
it to its undecayed state. It is only intended for "normal" particle 
decay chains, and will return false in other cases, notably if 
the particle is coloured. The procedure would not work if non-local 
momentum shifts have been performed, such as with a Bose-Einstein 
shift procedure (or for a dipole shower recoiler). The history 
information of the remaining particles, many of which may have new 
indices, is updated to be internally consistent. 
   
 


          int Event::append(Particle entryIn)   
          
appends a particle to the bottom of the event record and 
returns the index of this position. 
   
 


          int Event::append(int id, int status, int mother1, int mother2, int daughter1, int daughter2, int col, int acol, double px, double py, double pz,  double e, double m = 0., double scale = 0., double pol = 9.)   
          
appends a particle to the bottom of the event record and 
returns the index of this position; 
";?>see here for the meaning 
of the various particle properties. 
   
 


          int Event::append(int id, int status, int mother1, int mother2, int daughter1, int daughter2, int col, int acol, Vec4 p, double m = 0., double scale = 0., double pol = 9.)   
          
appends a particle to the bottom of the event record and 
returns the index of this position, as above but with four-momentum 
as a Vec4. 
   
 


          int Event::append(int id, int status, int col, int acol, double px, double py, double pz, double e, double m = 0., double scale = 0., double pol = 9.)   
          
   
int Event::append(int id, int status, int col, int acol, Vec4 p, double m = 0., double scale = 0., double pol = 9.)   
          
appends a particle to the bottom of the event record and 
returns the index of this position, as above but with vanishing 
(i.e. zero) mother and daughter indices. 
   
 


          int Event::setEvtPtr(int iSet = -1)   
          
send in the this pointer of the current Event 
itself to the particle iSet, by default the most recently 
appended particle. Also generates a pointer to the 
ParticleDataEntry object of the identity code of the particle. 
   
 


          int Event::copy(int iCopy, int newStatus = 0)   
          
copies the existing particle in entry iCopy to the 
bottom of the event record and returns the index of this position. 
By default, i.e. with newStatus = 0, everything is 
copied precisely as it is, which means that history information 
has to be modified further by hand to make sense. With a positive 
newStatus, the new copy is set up to be the daughter of 
the old, with status code newStatus, while the status 
code of iCopy is negated. With a negative 
newStatus, the new copy is instead set up to be the 
mother of iCopy. An attempt to copy an out-of-range 
entry will return -1. 
   
 


          void Event::restorePtrs()   
          
each particle in the event record has a pointer to the event itself 
and another to the particle species it belongs to. The latter pointer 
is automatically set/changed whenever the particle identity is 
set/changed by one of the normal methods. Of course the pointer values 
are specific to the memory locations of the current run, and so it has 
no sense to save them if events are written to file. Should you use some 
persistency scheme that bypasses the normal methods when the event is 
read back in, you can use restorePtrs() afterwards to set 
these pointers appropriately. 
   
 

           
A few methods exist to rotate and boost events. These derive from the 
";?>Vec4 methods, and affect both the 
momentum and the vertex (position) components of all particles. 
 


          void Event::rot(double theta, double phi)   
          
rotate all particles in the event by this polar and azimuthal angle 
(expressed in radians). 
   
 


          void Event::bst(double betaX, double betaY, double betaZ)   
          
   
void Event::bst(double betaX, double betaY, double betaZ, double gamma)   
          
   
void Event::bst(const Vec4& vec)   
          
boost all particles in the event by this three-vector. 
Optionally you may provide the gamma value as a fourth argument, 
which may help avoid roundoff errors for big boosts. You may alternatively 
supply a Vec4 four-vector, in which case the boost vector 
becomes beta = p/E. 
   
 


          void Event::rotbst(const RotBstMatrix& M)   
          
rotate and boost by the combined action encoded in the 
";?>RotBstMatrix M. 
   
 

          The Junction Class
           
 
The event record also contains a vector of junctions, which often 
is empty or else contains only a very few per event. Methods are 
available to add further junctions or query the current junction list. 
This is only for the expert user, however, and is not discussed 
further here, but only the main points. 
 

           
A junction stores the properties associated with a baryon number that 
is fully resolved, i.e. where three different colour indices are 
involved. There are two main applications, 

             

          1. baryon beams, where at least two valence quarks are kicked out, 
and so the motion of the baryon number is nontrivial;
            2.  

          2. baryon-number violating processes, e.g. in SUSY with broken 
R-parity.
            3.  

           
Information on junctions is set, partly in the process generation, 
partly in the beam remnants machinery, and used by the fragmentation 
routines, but the normal user does not have to know the details. 
 

           
For each junction, information is stored on the kind of junction, and 
on the three (anti)colour indices that are involved in the junction. 
The possibilities foreseen are: 

             

          • kind = 1 : incoming colourless particle to three 
outgoing colours (e.g. baryon beam remnant or 
neutralino → q q q);
            •  

          • kind = 2 : incoming colourless particle to three 
outgoing anticolours;
            •  

          • kind = 3 : one incoming anticolour (stored first) 
and two outgoing  colours (e.g. antisquark decaying to two quarks, or 
  gluino decay to three quarks);
            •  

          • kind = 4 : one incoming colour (stored first) and two 
outgoing anticolours (e.g. squark decaying to two antiquarks, or 
  gluino decaying to three antiquarks);
            •  

          • kind = 5 : two incoming anticolours (stored first) 
and one outgoing colour (e.g. resonant squark production through RPV);
            •  

          • kind = 6 : two incoming colours (stored first) 
and one outgoing anticolour (e.g. resonant antisquark production 
  through RPV); 

            •  

           
The odd (even) kind codes corresponds to a +1 (-1) change in 
baryon number across the junction. 
 

           
The kind and colour information in the list of junctions can be set 
or read with methods of the Event class, but are not of 
common interest and so not described here. 
 

           
A listing of current junctions can be obtained with the 
listJunctions() method. 
  

          Subsystems
           
 
Separate from the event record as such, but closely tied to it is the 
";?>PartonSystems class, 
which mainly stores the parton indices of incoming and outgoing partons, 
classified by collision subsystem. Such information is needed to 
interleave multiparton interactions, initial-state showers and final-state 
showers, and append beam remnants. It could also be used in other places. 
It is intended to be accessed only by experts, such as implementors of 
";?>new showering models. 
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/SemiInternalResonances.php0000644000175000017500000003174412357553536020767 0ustar  sunsun

Semi-Internal Resonances






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Semi-Internal Resonances
           
 
The introduction of a new ";?> 
semi-internal process may also involve a new particle, 
not currently implemented in PYTHIA. Often it is then enough to 
use the ";?>standard machinery 
to introduce a new particle (id:all = ...) and new 
decay channels (id:addChannel = ...). By default this 
only allows you to define a fixed total width and fixed branching 
ratios. Using ";?>meMode 
values 100 or bigger provides the possibility of a very 
simple threshold behaviour. 
 

           
If you want to have complete freedom, however, there are two 
ways to go. One is that you make the resonance decay part of the 
hard process itself, either using the 
";?>Les Houches interface or 
a semi-internal process. The other is for you to create a new 
ResonanceWidths object, where you write the code 
needed for a calculation of the partial width of a particular 
channel. 
 

           
Here we will explain what is involved in setting up a resonance. 
Should you actually go ahead with this, it is strongly recommended 
to use an existing resonance as a template, to get the correct 
structure. There also exists a sample main program, 
main22.cc, that illustrates how you could combine 
a new process and a new resonance. 
 

           
There are three steps involved in implementing a new resonance: 

          1) providing the standard particle information, as already 
outlined above (id:all = ..., 
id:addChannel = ...), except that now branching 
ratios need not be specified, since they anyway will be overwritten 
by the dynamically calculated values. 

          2) writing the class that calculates the partial widths. 

          3) handing in a pointer to an instance of this class to PYTHIA. 

          We consider the latter two aspects in turn. 
 

          The ResonanceWidths Class
           
 
The resonance-width calculation has to be encoded in a new class. 
The relevant code could either be put before the main program in the 
same file, or be stored separately, e.g. in a matched pair 
of .h and .cc files. The latter may be more 
convenient, in particular if the calculations are lengthy, or 
likely to be used in many different runs, but of course requires 
that these additional files are correctly compiled and linked. 
 

           
The class has to be derived  from the ResonanceWidths 
base class. It can implement a number of methods. The constructor 
and the calcWidth ones are always needed, while others 
are for convenience. Much of the administrative machinery is handled 
by methods in the base class. 
 

          Thus, in particular, you must implement expressions for all 
possible final states, whether switched on in the current run or not, 
since all contribute to the total width needed in the denominator of 
the Breit-Wigner expression. Then the methods in the base class take 
care of selecting only allowed channels where that is required, and 
also of including effects of closed channels in secondary decays. 
These methods can be accessed indirectly via the 
";?>res... 
methods of the normal 
";?>particle database. 
 

           
A constructor for the derived class obviously must be available. 
Here you are quite free to allow a list of arguments, to set 
the parameters of your model. The constructor must call the 
base-class initBasic(idResIn) method, where the argument 
idResIn is the PDG-style identity code you have chosen 
for the new resonance. When you create several related resonances 
as instances of the same class you would naturally make 
idResIn an argument of the constructor; for the 
PYTHIA classes this convention is used also in cases when it is 
not needed. 

          The initBasic(...) method will 
hook up the ResonanceWidths object with the corresponding 
entry in the generic particle database, i.e. with the normal particle 
information you set up in point 1) above. It will store, in base-class 
member variables, a number of quantities that you later may find useful: 

          idRes : the identity code you provide; 

          hasAntiRes : whether there is an antiparticle; 

          mRes : resonance mass; 

          GammaRes resonance width; 

          m2Res : the squared mass; 

          GamMRat : the ratio of width to mass. 
 

           
A destructor is only needed if you plan to delete the resonance 
before the natural end of the run, and require some special behaviour 
at that point. If you call such a destructor you will leave a pointer 
dangling inside the Pythia object you gave it in to, 
if that still exists. 
 


          void ResonanceWidths::initConstants()   
          
is called once during initialization, and can then be used to set up 
further parameters specific to this particle species, such as couplings, 
and perform calculations that need not be repeated for each new event, 
thereby saving time. This method needs not be implemented. 
   
 


          void ResonanceWidths::calcPreFac(bool calledFromInit = false)   
          
is called once a mass has been chosen for the resonance, but before 
a specific final state is considered. This routine can therefore 
be used to perform calculations that otherwise might have to be repeated 
over and over again in calcWidth below. It is optional 
whether you want to use this method, however, or put 
everything in calcWidth(). 

          The optional argument will have the value true when 
the resonance is initialized, and then be false throughout 
the event generation, should you wish to make a distinction. 
In PYTHIA such a distinction is made for gamma^*/Z^0 and 
gamma^*/Z^0/Z'^0, owing to the necessity of a special 
description of interference effects, but not for other resonances. 

          In addition to the base-class member variables already described 
above, mHat contains the current mass of the resonance. 
At initialization this agrees with the nominal mass mRes, 
but during the run it will not (in general). 
   
 


          void ResonanceWidths::calcWidth(bool calledFromInit = false)   
          
is the key method for width calculations and returns a partial width 
value, as further described below. It is called for a specific 
final state, typically in a loop over all allowed final states, 
subsequent to the calcPreFac(...) call above. 
Information on the final state is stored in a number of base-class 
variables, for you to use in your calculations: 

          iChannel : the channel number in the list of 
possible decay channels; 

          mult : the number of decay products; 

          id1, id2, id3 : the identity code of up to the first 
three decay products, arranged in descending order of the absolute value 
of the identity code; 

          id1Abs, id2Abs, id3Abs : the absolute value of the 
above three identity codes; 

          mHat : the current resonance mass, which is the same 
as in the latest calcPreFac(...) call; 

          mf1, mf2, mf3 : masses of the above decay products; 

          mr1, mr2, mr3 : squared ratio of the product masses 
to the resonance mass; 

          ps : is only meaningful for two-body decays, where it 
gives the phase-space factor 
ps = sqrt( (1. - mr1 - mr2)^2 - 4. * mr1 * mr2 ); 

          In two-body decays the third slot is zero for the above properties. 
Should there be more than three particles in the decay, you would have 
to take care of the subsequent products yourself, e.g. using 

          particlePtr->decay[iChannel].product(j); 

          to extract the j'th decay products (with 
j = 0 for the first, etc.). Currently we are not aware 
of any such examples. 

          The base class also contains methods for alpha_em and 
alpha_strong evaluation, and can access many standard-model 
couplings; see the existing code for examples. 

          The result of your calculation should be stored in 

          widNow : the partial width of the current channel, 
expressed in GeV. 
   
 


          double ResonanceWidths::widthChan( double mHat, int idAbs1, int idAbs2)   
          
is not normally used. In PYTHIA the only exception is Higgs decays, 
where it is used to define the width (except for colour factors) 
associated with a specific incoming/outgoing state. It allows the 
results of some loop expressions to be pretabulated. 
   
 


          bool ResonanceWidths::allowCalc()   
          
can normally be left dummy (and then always returns true) but 
can optionally be used to determine whether to force dynamical width 
calculation to be switched off (return false). 
An example is provided by the 
SUSYResonanceWidths class, in which the implementation of 
this method checks for the existence of SLHA decay tables for the 
particular resonance in question, and checks if those tables should be 
given precedence over the internal width calculation. 
   
 


          bool ResonanceWidths::initBSM()   
          
can normally be left dummy, but for advanced implementations it 
provides a possibility to initialize data members of the derived class 
at a very early stage during initialization, before any of the other 
members are called. An example is 
provided by the SUSYResonanceWidths class, in which 
an internal pointer to a derived Couplings class must be 
(re)set before any of the other methods are used. A return value of 
false can be used to signal that this 
initialization step failed. 
   
 

          Access to resonance widths
           
 
Once you have implemented a class, it is straightforward to 
make use of it in a run. Assume you have written a new class 
MyResonance, which inherits from 
ResonanceWidths. You then create an instance of 
this class and hand it in to a pythia object with 

           
      ResonanceWidths* myResonance = new MyResonance(); 
      pythia.setResonancePtr( myResonance); 

           
If you have several resonances you can repeat the procedure any number 
of times. When pythia.init(...) is called these resonances 
are initialized along with all the internal resonances, and treated in 
exactly the same manner. See also the ";?>Program 
Flow 
description. 
 

           
If the code should be of good quality and general usefulness, 
it would be simple to include it as a permanently available process 
in the standard program distribution. The final step of that integration 
ought to be left for the PYTHIA authors, but basically all that is 
needed is to add one line in 
ParticleData::initResonances, where one creates an 
instance of the resonance in the same way as for the resonances already 
there. In addition, the particle data and decay table for the new 
resonance has to be added to the permanent 
";?>particle database, and the code itself 
to include/ResonanceWidths.h and 
src/ResonanceWidths.cc. 
 


 
 
pythia8-8.1.86.orig/phpdoc/LesHouchesAccord.php0000644000175000017500000012751512357553536017534 0ustar  sunsun

Les Houches Accord






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          Les Houches Accord
           
 
The Les Houches Accord (LHA) for user processes [Boo01] is the 
standard way to input parton-level information from a 
matrix-elements-based generator into PYTHIA. The conventions for 
which information should be stored has been defined in a Fortran context, 
as two commonblocks. Here a C++ equivalent is defined, as a single class. 
The most common application is to read input from a Les Houches Event File 
(LHEF) [Alw06], but it is also possible to have a runtime 
interface to another program.


           
A "no-beams" extension, currently not part of the standard, has been 
implemented. In this case only one part of a complete event is studied, 
and so no meaningful beam information can be set. The prime example is
to study the decay properties of a resonance, where a parton-level decay
chain is provided as input, and then showers and nadronization should be
added. Another example would be where a given partonic configuration 
would be hadronized, without any previous showers. See further below and 
in the ";?>Hadron-Level Standalone 
description.
 

           
The LHAup class is a base class, containing reading and 
printout functions, plus two pure virtual functions, one to set 
initialization information and one to set information on each new event. 
Derived classes have to provide these two virtual functions to do 
the actual work. The existing derived classes are for reading information 
from a Les Houches Event File, from the respective Fortran 
commonblocks, or from PYTHIA 8 itself. 
 

           
You are free to write your own derived classes, using the rules and 
methods to be described below. Normally, pointers to objects of such 
derived classes should be handed in with the 
";?>Pythia::init( LHAup*) 
method. However, with the LHEF format a filename can replace the 
pointer, see further below. 
 

           
Let us now describe the methods at your disposal to do the job. 
 


          LHAup::LHAup( int strategy = 3)   
          
the base class constructor takes the choice of mixing/weighting 
strategy as optional input argument, and calls setStrategy, 
see below. It also reserves some space for processes and particles. 
   
 


          virtual LHAup::~LHAup()   
          
the destructor does not need to do anything. 
   
 


          void LHAup::setPtr(Info* infoPtr)   
          
this method only sets the pointer that allows some information 
to be accessed, and is automatically called by 
Pythia::init(...). 
   
 

          Initialization
           
 
The LHAup class stores information equivalent to the 
/HEPRUP/ commonblock, as required to initialize the event 
generation chain. The main difference is that the vector container 
now allows a flexible number of subprocesses to be defined. For the 
rest, names have been modified, since the 6-character-limit does not 
apply, and variables have been regrouped for clarity, but nothing 
fundamental is changed. 
 


          virtual bool LHAup::setInit()   
          
this pure virtual method has to be implemented in the derived class, 
to set relevant information when called. It should return false if it 
fails to set the info. In the no-beams extension this method need not
do anything, since by default strategy 3 is chosen and the rest is set
vanishing, but the method must exist.
   
 

           
Inside setInit(), such information can be set by the following 
methods: 


          void LHAup::setBeamA( int identity, double energy, int pdfGroup = 0, int pdfSet = 0)   
          
   
void LHAup::setBeamB( int identity, double energy, int pdfGroup = 0, int pdfSet = 0)   
          
sets the properties of the first and second incoming beam, respectively 
(cf. the Fortran IDBMUP(1), EBMUP(i), PDFGUP(i), PDFSUP(i), 
with i 1 or 2). These numbers can be used to tell which PDF 
sets were used when the hard process was generated, while the normal 
";?>PDF Selection is used for the further 
event generation in PYTHIA. 
   
 


          void LHAup::setStrategy( int strategy)   
          
sets the event weighting and cross section strategy. The default, 
provided in the class constructor, is 3, which is the natural value 
e.g. for an LHEF. 

          argument strategy   :  
chosen strategy (cf. IDWTUP; see [Sjo06] 
section 9.9.1 for extensive comments). 

          argumentoption  1 :  events come with non-negative weight, given in units 
of pb, with an average that converges towards the cross section of the 
process. PYTHIA is in charge of the event mixing, i.e. for each new 
try decides which process should be generated, and then decides whether 
is should be kept, based on a comparison with xMax. 
Accepted events therefore have unit weight.   

          argumentoption  -1 :  as option 1, except that cross sections can now be 
negative and events after unweighting have weight +-1. You can use 
";?>Info::weight() 
to find the weight of the current event. A correct event mixing requires 
that a process that can take both signs should be split in two, one limited 
to positive or zero and the other to negative or zero values, with 
xMax chosen appropriately for the two.   

          argumentoption  2 :  events come with non-negative weight, in unspecified 
units, but such that xMax can be used to unweight the events 
to unit weight. Again PYTHIA is in charge of the event mixing. 
The total cross section of a process is stored in 
xSec.   

          argumentoption  -2 :  as option 2, except that cross sections can now be 
negative and events after unweighting have weight +-1. As for option -1 
processes with indeterminate sign should be split in two.   

          argumentoption  3 :  events come with unit weight, and are thus accepted 
as is. The total cross section of the process is stored in 
xSec.   

          argumentoption  -3 :  as option 3, except that events now come with weight 
+-1. Unlike options -1 and -2 processes with indeterminate sign need not be 
split in two, unless you intend to mix with internal PYTHIA processes 
(see below).   

          argumentoption  4 :  events come with non-negative weight, given in units 
of pb, with an average that converges towards the cross section of the 
process, like for option 1. No attempt is made to unweight the events, 
however, but all are generated in full, and retain their original weight. 
For consistency with normal PYTHIA units, the weight stored in 
Info::weight() has been converted to mb, however. 
   

          argumentoption  -4 :  as option 4, except that events now can come 
either with positive or negative weights.   

          Note 1: if several processes have already been mixed and 
stored in a common event file, either LHEF or some private format, it 
would be problematical to read back events in a different order. Since it 
is then not feasible to let PYTHIA pick the next process type, strategies 
+-1 and +-2 would not work. Instead strategy 3 would be the recommended 
choice, or -3 if negative-weight events are required. 

          Note 2: it is possible to switch on internally implemented 
processes and have PYTHIA mix these with LHA ones according to their relative 
cross sections for strategies +-1, +-2 and 3. It does not work for strategy 
-3 unless the positive and negative sectors of the cross sections are in 
separate subprocesses (as must always be the case for -1 and -2), since 
otherwise the overall mixture of PYTHIA and LHA processes will be off. 
Mixing is not possible for strategies +-4, since the weighting procedure 
is not specified by the standard. (For instance, the intention may be to 
have events biased towards larger pT values in some particular 
functional form.) 
   
   
 


          void LHAup::addProcess( int idProcess, double xSec, double xErr, double xMax)   
          
sets info on an allowed process (cf. LPRUP, XSECUP, XERRUP, 
XMAXUP). 
Each new call will append one more entry to the list of processes. 
The choice of strategy determines which quantities are mandatory: 
xSec for strategies +-2 and +-3, 
xErr never, and 
xMax for strategies +-1 and +-2. 
   
 

          Note: PYTHIA does not make active use of the (optional) 
xErr values, but calculates a statistical cross section 
error based on the spread of event-to-event weights. This should work 
fine for strategy options +-1, but not for the others. Specifically, 
for options +-2 and +-3 the weight spread may well vanish, and anyway 
is likely to be an underestimate of the true error. If the author of the 
LHA input information does provide error information you may use that - 
this information is displayed at initialization. If not, then a relative 
error decreasing like 1/sqrt(n_acc), where n_acc 
is the number of accepted events, should offer a reasonable estimate. 
 


          void LHAup::setXSec( int i, double xSec)   
          
update the xSec value of the i'th process 
added with addProcess method (i.e. i runs 
from 0 through sizeProc() - 1, see below). 
   
 


          void LHAup::setXErr( int i, double xErr)   
          
update the xErr value of the i'th process 
added with addProcess method. 
   
 


          void LHAup::setXMax( int i, double xMax)   
          
update the xMax value of the i'th process 
added with addProcess method. 
   
 


          void LHAup::setInfoHeader(string &key, string &val)   
          
set the header key to have value val. 
This is a wrapper function to the 
";?>Info::setHeader function that 
should be used in any classes derived from LHAup. 
   
 

           
Information is handed back by the following methods 
(that normally you would not need to touch): 


          int LHAup::idBeamA()   
          
   
int LHAup::idBeamB()   
          
   
double LHAup::eBeamA()   
          
   
double LHAup::eBeamB()   
          
   
int LHAup::pdfGroupBeamA()   
          
   
int LHAup::pdfGroupBeamB()   
          
   
int LHAup::pdfSetBeamA()   
          
   
int LHAup::pdfSetBeamB()   
          
for the beam properties. 
   


          int LHAup::strategy()   
          
for the strategy choice. 
   


          int LHAup::sizeProc()   
          
for the number of subprocesses. 
   


          int LHAup::idProcess(i)   
          
   
double LHAup::xSec(i)   
          
   
double LHAup::xErr(i)   
          
   
double LHAup::xMax(i)   
          
for process i in the range 0 <= i < 
sizeProc(). 
 
   


          double LHAup::xSecSum()   
          
   
double LHAup::xErrSum()   
          
the sum of the cross sections and errors (the latter added quadratically). 
Note that cross section errors are only meaningful for strategies +-3. 
   
 


          void LHAup::listInit(ostream& os = cout)   
          
prints the above initialization information. This method is 
automatically called from Pythia::init(...), 
so would normally not need to be called directly by the user. 
   
 

           
 
 

          Event input
           
 
The LHAup class also stores information equivalent to the 
/HEPEUP/ commonblock, as required to hand in the next 
parton-level configuration for complete event generation. The main 
difference is that the vector container now allows a flexible number 
of partons to be defined. For the rest, names have been modified, 
since the 6-character-limit does not apply, and variables have been 
regrouped for clarity, but nothing fundamental is changed. 
 

           
The LHA standard is based on Fortran arrays beginning with 
index 1, and mother information is defined accordingly. In order to 
be compatible with this convention, the zeroth line of the C++ particle 
array is kept empty, so that index 1 also here corresponds to the first 
particle. One small incompatibility is that the sizePart() 
method returns the full size of the particle array, including the 
empty zeroth line, and thus is one larger than the true number of 
particles (NUP). 
 


          virtual bool LHAup::setEvent(int idProcess = 0, double mRecalculate = -1.)   
          
this pure virtual method has to be implemented in the derived class, 
to set relevant information when called. For strategy options +-1 
and +-2 the input idProcess value specifies which process 
that should be generated, while idProcess is irrelevant 
for strategies +-3 and +-4. The mRecalculate input alllows 
an optional recalculation of the mass from the four-momentum, see 
LesHouches::mRecalculate below. The method should return 
false if it fails to set the info, i.e. normally that the supply of 
events in a file is exhausted. If so, no event is generated, and 
Pythia::next() returns false. You can then interrogate 
";?>Info::atEndOfFile() 
to confirm that indeed the failure is caused in this method, and decide 
to break out of the event generation loop. 
 

           
Inside a normal setEvent(...) call, information can be set 
by the following methods: 


          void LHAup::setProcess( int idProcess, double weight, double scale, double alphaQED, double alphaQCD)   
          
tells which kind of process occurred, with what weight, at what scale, 
and which alpha_EM and alpha_strong were used 
(cf. IDPRUP, XWTGUP, SCALUP, AQEDUP, AQCDUP). This method 
also resets the size of the particle list, and adds the empty zeroth 
line, so it has to be called before the addParticle method below. 
   


          void LHAup::addParticle( int id, int status, int mother1, int mother2, int colourTag1, int colourTag2, double p_x, double p_y, double p_z, double e, double m, double tau, double spin, double scale)   
          
gives the properties of the next particle handed in (cf. IDUP, ISTUP, 
MOTHUP(1,..), MOTHUP(2,..), ICOLUP(1,..), ICOLUP(2,..),  PUP(J,..), 
VTIMUP, SPINUP; while scale is a new optional property, 
see further below) . 
   
 

           
Information is handed back by the following methods: 


          int LHAup::idProcess()   
          
process number. 
   
 


          double LHAup::weight()   
          
Note that the weight stored in Info::weight() as a rule 
is not the same as the above weight(): the method here gives 
the value before unweighting while the one in info gives 
the one after unweighting and thus normally is 1 or -1. Only with strategy 
options +-3 and +-4 would the value in info be the same as 
here, except for a conversion from pb to mb for +-4. 
   
 


          double LHAup::scale()   
          
   
double LHAup::alphaQED()   
          
   
double LHAup::alphaQCD()   
          
scale and couplings at that scale. 
   
 


          int LHAup::sizePart()   
          
the size of the particle array, which is one larger than the number 
of particles in the event, since the zeroth entry is kept empty 
(see above). 
   
 


          int LHAup::id(int i)   
          
   
int LHAup::status(int i)   
          
   
int LHAup::mother1(int i)   
          
   
int LHAup::mother2(int i)   
          
   
int LHAup::col1(int i)   
          
   
int LHAup::col2(int i)   
          
   
double LHAup::px(int i)   
          
   
double LHAup::py(int i)   
          
   
double LHAup::pz(int i)   
          
   
double LHAup::e(int i)   
          
   
double LHAup::m(int i)   
          
   
double LHAup::tau(int i)   
          
   
double LHAup::spin(int i)   
          
   
double LHAup::scale(int i)   
          
for particle i in the range 
0 <= i < sizePart(). (But again note that 
i = 0 is an empty line, so the true range begins at 1.) 
   
 

           
From the information in the event record it is possible to set 
the flavour and x values of the initiators 


          void LHAup::setIdX(int id1, int id2, double x1, double x2)   
          
   
 

           
This information is returned by the methods 


          int LHAup::id1()   
          
   
int LHAup::id2()   
          
   
double LHAup::x1()   
          
   
double LHAup::x2()   
          
   
 

           
In the LHEF description [Alw06] an extension to 
include information on the parton densities of the colliding partons 
is suggested. This optional further information can be set by 


          void LHAup::setPdf( int id1pdf, int id2pdf, double x1pdf, double x2pdf, double scalePDF, double pdf1, double pdf2, bool pdfIsSet)   
          
which gives the flavours , the x and the Q scale 
(in GeV) at which the parton densities x*f_i(x, Q) have been 
evaluated. The last argument is normally true. 
   
 

           
This information is returned by the methods 


          bool LHAup::pdfIsSet()   
          
   
int LHAup::id1pdf()   
          
   
int LHAup::id2pdf()   
          
   
double LHAup::x1pdf()   
          
   
double LHAup::x2pdf()   
          
   
double LHAup::scalePDF()   
          
   
double LHAup::pdf1()   
          
   
double LHAup::pdf2()   
          
where the first one tells whether this optional information has been set 
for the current event. (setPdf(...) must be called after the 
setProcess(...) call of the event for this to work.) 
Note that the flavour and x values usually but not always 
agree with those obtained by the same methods without pdf 
in their names, see explanation in the 
";?>Event Information description. 
   
 

           
As a further, currently completely non-standard feature, it is also 
possible to read in the separate scale values of all final particles. 
Currently such information should appear as a line begun by a single 
hashtag character (#) and then sequentially the scale value of all 
particles with status 1. Such scale values could be used e.g. to 
restrict the maximum scale for shower evolutions for each parton 
separately. This information is returned by the method 
double LHAup::scale(int i). When no such information 
has been read from the LHEF, the scale defaults to -1. 
 

           


          void LHAup::listEvent(ostream& os = cout)   
          
prints the above information for the current event.  In cases where the 
LHAup object is not available to the user, the 
Pythia::LHAeventList(ostream& os = cout) method can 
be used, which is a wrapper for the above. 
   
 


          virtual bool LHAup::skipEvent(int nSkip)   
          
skip ahead nSkip events in the Les Houches generation 
sequence, without doing anything further with them. Mainly 
intended for debug purposes, e.g. when an event at a known 
location in a Les Houches Event File is causing problems. 
Will return false if operation fails, specifically if the 
end of an LHEF has been reached. The implementation in the base class 
simply executes setEvent() the requested number of times. 
The derived LHAupLHEF class (see below) only uses the 
setNewEventLHEF(...) part of its setEvent() 
method, and other derived classes could choose other shortcuts. 
   
 

           
The LHA expects the decay of resonances to be included as part of the 
hard process, i.e. if unstable particles are produced in a process then 
their decays are also described. This includes Z^0, W^+-, H^0 
and other short-lived particles in models beyond the Standard Model. 
Should this not be the case then PYTHIA will perform the decays of all 
resonances it knows how to do, in the same way as for internal processes. 
Note that you will be on slippery ground if you then restrict the decay of 
these resonances to specific allowed channels since, if this is not what 
was intended, you will obtain the wrong cross section and potentially the 
wrong mix of different event types. (Since the original intention is 
unknown, the cross section will not be corrected for the fraction of 
open channels, i.e. the procedure used for internal processes is not 
applied in this case.) 
 

           
Even if PYTHIA can select resonance decay modes according to its 
internal tables, there is normally no way for it to know which 
decay angular correlations should exist in the simulated process. 
Therefore almost all decays are isotropic. The exceptions are Higgs and 
top decays, in the decay chains H → WW/ZZ → f fbar f' fbar' 
and t → b W → b f fbar, where the process-independent 
correlations implemented for internal processes are used. If part of 
the decay chain has already been set, however (e.g. H → WW/ZZ 
or t → b W), then decay is still isotropic. 
 

           
There are two settings available for event input. 
 


          LesHouches:idRenameBeams       (default = 1000022; minimum = 0)
          
PYTHIA only implements a certain number of incoming beam particles.
Specifically it needs to have PDFs for every composite particle to
be used. Sometimes exotic beam particles are used, e.g. when a 
neutralino is supposed to be the Dark Matter particle and therefore
neutralino pairs can collide and annihilate. Such a particle identity
code, picked by this mode, is mapped onto an incoming tau neutrino 
beam (or antineutrino for the second beam), to bring it to a familiar 
situation. The trick cannot be used for composite particles, nor for 
a pair of different particles. 
   
 


          LesHouches:setLifetime      (default = 1; minimum = 0; maximum = 2)
          
handling of the decay time information stored in VTIMUP 
when the Les Houches event record is stored into the PYTHIA 
process one. The reason is that some matrix-element 
generators (like POWHEG) do not set decay times, so that it is up to 
PYTHIA to make that selection. This is particularly important for 
the tau lepton. 

          
0 :  all decay times are taken from the Les Houches input.  
          
1 :  the decay time of tau leptons is generated  like for internal PYTHIA taus, whereas all other decay times  are taken from the Les Houches input.  
          
2 :  all decay times are generated by PYTHIA, thus  completely disregarding the Les Houches values. This option could  go wrong in BSM scenarios with long-lived particles, if PYTHIA  has not been provided with the information to select those lifetimes  correctly.  
          
 

           
There is also one parameter that can be used to modify the setting 
of event information, if implemented in the derived class. It is 
prompted by an unforeseen choice made in some programs (like CalcHEP) 
of storing the nominal mass of a particle species rather than the 
mass of the current member of that species. This is likely to 
induce energy-momentum nonconservation when the event is further 
processed. 
 


          LesHouches:mRecalculate      (default = -1.)
          
Does not have any effect by default, or more generally when it is negative. 
If it is positive then all particles with an input mass above this 
value will have the mass recalculated and reset from the four-momentum, 
m^2 = E^2 - p^2. Obviously such a step is problematic 
numerically for light particles, so it should only be used for the 
programs and particles where it is needed. Thus the value ought to be 
at least 10 GeV, so that only massive particles like W^+-, 
Z^0 and t are affected. 
   
 

          An interface to Les Houches Event Files
           
 
The LHEF standard [Alw06] specifies a format where a single file 
packs initialization and event information. This has become the most 
frequently used procedure to process external parton-level events in 
Pythia. Therefore a special 
";?>Pythia::init(fileName) 
initialization option exists, where the LHEF name is provided as input. 
Internally this name is then used to create an instance of the derived 
class LHAupLHEF, which can do the job of reading an LHEF. 


           
The two key compulsory parts of an LHEF is the initialization information
stored in an init block, enclosed by a matching <init>
- </init> pair of lines, and the event input, with each 
event enclosed by a matching <event> - 
</event> pair of lines. In the case of the no-beams 
extension the init block may be empty, but the <init>
and </init> lines must be included for the file parsing
to work as expected. It is also possible to have a non-empty init block, 
with the beams assigned code 0, and optionally a number of specified 
"processes".
 

           
The LHEF reader can also read in and store header blocks. By default 
this option is switched on, but may be controlled through the 
";?>Beams:readLHEFheaders flag if 
necessary. The information can later be read out through the 
";?>Info class for further processing. 
Due to the non-standard nature of the information in these blocks they 
are stored whole, and PYTHIA itself makes no further attempt to process 
their meaning. 
 

           
Because Les Houches Event files tend not to adhere strictly to XML 
conventions, to consistently read in header information, certain 
choices must be made. The primary goal is to make as much information 
available as possible. First, information sitting directly in the 
<header> block is stored under the key "base". Second, the tags 
starting and ending each sub block must be on their own line. Finally, 
the contents of comment blocks, <!-- -->, are still stored. The 
header keys are formed hierarchically from the names of the header 
blocks. This behaviour is illustrated in the following example: 

           
  <header> 
    BaseA 
    <hblock1> 
      1A 
      <hblock11> 
        11A <hblock111> 
        </hblock111> 11B 
      </hblock11> 
      1B 
    </hblock1> 
    <hblock2> 
      2A 
      <!-- 2B --> 
    </hblock2> 
    BaseB 
  </header> 

           
which would lead to the following information being stored in the 
";?>Info class: 

           
  
           Key Value 
           
  
           
    base 
    BaseA
          BaseB          		 
  
           
  
           
    hblock1 
    1A
          1B          		 
  
           
  
           
    hblock1.hblock11 
    11A <hblock111>
          </hblock111> 11B          		 
  
           
  
           
    hblock2 
    2A
          <!-- 2B -->          		 
  
           

           

           

           
Normally the LHEF would be in uncompressed format, and thus human-readable 
if opened in a text editor. A possibility to read gzipped files has 
been added, based on the Boost and zlib libraries, which therefore 
have to be linked appropriately in order for this option to work. 
See the README file in the main directory for details 
on how to do this. 
 

           
An example how to generate events from an LHEF is found in 
main11.cc. Note the use of 
Info::atEndOfFile() to find out when the whole 
LHEF has been processed. 
 

           
To allow the sequential use of several event files the 
Pythia::init(...) method has an optional second argument: 
Pythia::init(fileName, bool skipInit = false). 
If called with this argument true then there will be no 
initialization, except that the existing LHAupLHEF class 
instance will be deleted and replaced by ones pointing to the new file. 
It is assumed (but never checked) that the initialization information is 
identical, and that the new file simply contains further events of 
exactly the same kind as the previous one. An example of this possibility, 
and the option to mix with internal processes, is found in 
main12.cc. A variant, based on input in a command file, 
is given in main13.cc. 
 

           
In C++, real numbers are printed with an 'E' to denote the exponent part, 
e.g. 1.23E+04, and are read in accordingly. Other languages may use other 
letters, e.g. Fortran allows either 'E' or 'D'. A file using 
the latter convention would not be readable by the standard routines. 
In case you have such an "incorrectly formatted" file, a conversion to 
a new corrected file could be done e.g. using sed, as a 
one-line command 

           
  sed -e 's/\([0-9]\.\{0,1\}\)[dD]\([+-]\{0,1\}[0-9]\)/\1E\2/g' old.lhe > new.lhe 

           
This replaces a 'd' or 'D' with an 'E' only when it occurs in the combination 

          
(digit) ('.' or absent) ('d' or 'D') ('+', '-' or absent) (digit) 

          It will work on all parts of the file, also inside a 
<header>...</header> block. For conversion only 
inside the <init>...</init> and 
<event>...</event> blocks, create a file 
convert.sed containing 

           
  /<init>/,/<\/init>/bconv 
  /<event>/,/<\/event>/bconv 
  b 
  :conv 
  s/\([0-9]\.\{0,1\}\)[dD]\([+-]\{0,1\}[0-9]\)/\1E\2/g 

           
and run it with 

           
  sed -f convert.sed old.lhe > new.lhe 

           
 

           
The workhorses of the LHAupLHEF class are three methods 
found in the base class, so as to allow them to be reused in other 
contexts. Specifically, it allows derived classes where one parton-level 
configuration can be reused several times, e.g. in the context of 
matrix-element-to-parton-shower matching (example in preparation). 
Also two small utility routines. 
 


          bool LHAup::setInitLHEF(ifstream& is, bool readHeaders = false)   
          
read in and set all required initialization information from the 
specified stream. With second argument true it will also read and store 
header information, as described above. Return false if it fails. 
   
 


          bool LHAup::setNewEventLHEF(ifstream& is)   
          
read in event information from the specified stream into a staging area 
where it can be reused by setOldEventLHEF. 
   
 


          bool LHAup::setOldEventLHEF()   
          
store the event information from the staging area into the normal 
location. Thus a single setNewEventLHEF call can be 
followed by several setOldEventLHEF ones, so as to 
process the same configuration several times. This method currently 
only returns true, i.e. any errors should be caught by the preceding 
setNewEventLHEF call. 
   
 


          bool LHAup::fileFound()   
          
always returns true in the base class, but in LHAupLHEF 
it returns false if the LHEF provided in the constructor is not 
found and opened correctly. 
   
 


          void LHAup::setInfoHeader(const string &key, const string &val)   
          
is used to send header information on to the Info class. 
   
 

           
A few other methods, most of them derived from the base class, 
streamlines file opening and closing, e.g. if several LHE files are 
to be read consecutively, without the need for a complete 
reinitialization. This presupposes that the events are of the same 
kind, only split e.g. to limit file sizes. 
 


          bool LHAup::newEventFile(const char* fileIn)   
          
close current event input file/stream and open a new one, to 
continue reading events of the same kind as before. 
   
 


          istream* LHAup::openFile(const char *fn, ifstream &ifs)   
          
   
void LHAup::closeFile(istream *&is, ifstream &ifs)   
          
open and close a file, also gzip files, where an intermediate 
decompression layer is needed. 
   
 


          void LHAupLHEF::closeAllFiles()   
          
close main event file (LHEF) and, if present, separate header file. 
   
  

          A runtime Fortran interface
           
 
The runtime Fortran interface requires linking to an external Fortran 
code. In order to avoid problems with unresolved external references 
when this interface is not used, the code has been put in a separate 
LHAFortran.h file, that is not included in any of the 
other library files. Instead it should be included in the 
user-supplied main program, together with the implementation of two 
methods below that call the Fortran program to do its part of the job. 
 

           
The LHAupFortran class derives from LHAup. 
It reads initialization and event information from the LHA standard 
Fortran commonblocks, assuming these commonblocks behave like two 
extern "C" struct named heprup_ and 
hepeup_. (Note the final underscore, to match how the 
gcc compiler internally names Fortran files.) 
 

           
The instantiation does not require any arguments. 
 

           
The user has to supply implementations of the fillHepRup() 
and fillHepEup() methods, that is to do the actual calling 
of the external Fortran routines that fill the HEPRUP and 
HEPEUP commonblocks. The translation of this information to 
the C++ structure is provided by the existing setInit() and 
setEvent() code. 
 

           
Up to and including version 8.125 the LHAupFortran class 
was used to construct a runtime interface to PYTHIA 6.4. This was 
convenient in the early days of PYTHIA 8 evolution, when this program 
did not yet contain hard-process generation, and the LHEF standard 
did not yet exist. Nowadays it is more of a bother, since a full 
cross-platform support leads to many possible combinations. Therefore 
this support has been removed, but can still be recuperated from 
previous code versions, in a reduced form up to version 8.176. 
 

          Methods for LHEF output
           
 
The main objective of the LHAup class is to feed information 
from an external program into PYTHIA. It can be used to export information 
as well, however. Specifically, there are four routines in the base class 
that can be called to write a Les Houches Event File. These should be 
called in sequence in order to build up the proper file structure. 
 


          bool LHAup::openLHEF(string filename)   
          
Opens a file with the filename indicated, and writes a header plus a brief 
comment with date and time information. 
   
 


          bool LHAup::initLHEF()   
          
Writes initialization information to the file above. Such information should 
already have been set with the methods described in the "Initialization" 
section above. 
   
 


          bool LHAup::eventLHEF(bool verbose = true)   
          
Writes event information to the file above. Such information should 
already have been set with the methods described in the "Event input" 
section above. This call should be repeated once for each event to be 
stored. By default the event information is lined up in columns. 
To save space, the alternative verbose = false only 
leaves a single blank between the information fields. 
   
 


          bool LHAup::closeLHEF(bool updateInit = false)   
          
Writes the closing tag and closes the file. Optionally, if 
updateInit = true, this routine will reopen the file from 
the beginning, rewrite the same header as openLHEF() did, 
and then call initLHEF() again to overwrite the old 
information. This is especially geared towards programs, such as PYTHIA 
itself, where the cross section information is not available at the 
beginning of the run, but only is obtained by Monte Carlo integration 
in parallel with the event generation itself. Then the 
setXSec( i, xSec), setXErr( i, xSec) and 
setXMax( i, xSec) can be used to update the relevant 
information before closeLHEF is called. 

          Warning: overwriting the beginning of a file without 
upsetting anything is a delicate operation. It only works when the new 
lines require exactly as much space as the old ones did. Thus, if you add 
another process in between, the file will be corrupted. 
   
 


          string LHAup::getFileName()   
          
Return the name of the LHE file above.
   
 

          PYTHIA 8 output to an LHEF
           
 
The above methods could be used by any program to write an LHEF. 
For PYTHIA 8 to do this, a derived class already exists, 
LHAupFromPYTHIA8. In order for it to do its job, 
it must gain access to the information produced by PYTHIA, 
specifically the process event record and the 
generic information stored in info. Therefore, if you 
are working with an instance pythia of the 
Pythia class, you have to instantiate 
LHAupFromPYTHIA8 with pointers to the 
process and info objects of 
pythia: 

          LHAupFromPYTHIA8 myLHA(&pythia.process, &pythia.info); 
 

           
The method setInit() should be called to store the 
pythia initialization information in the LHA object, 
and setEvent() to store event information. 
Furthermore, updateSigma() can be used at the end 
of the run to update cross-section information, cf. 
closeLHEF(true) above. An example how the 
generation, translation and writing methods should be ordered is 
found in main20.cc. 
 

           
Currently there are some limitations, that could be overcome if 
necessary. Firstly, you may mix many processes in the same run, 
but the cross-section information stored in info only 
refers to the sum of them all, and therefore they are all classified 
as a common process 9999. Secondly, you should generate your events 
in the CM frame of the collision, since this is the assumed frame of 
stored Les Houches events, and no boosts have been implemented 
for the case that Pythia::process is not in this frame. 
 

           
The LHEF standard is the agreed format to store the particles of a 
hard process, as input to generators, whereas output of final states 
is normally handled using the ";?>HepMC 
standard. It is possible to use LHEF also here, however. It requires 
that the above initialization is replaced by 

          LHAupFromPYTHIA8 myLHA(&pythia.event, &pythia.info); 

           i.e. that process is replaced by event. 
In addition, the PartonLevel:all = off command found in 
main20.cc obviously must be removed if one wants to 
obtain complete events. 
  


"?>


          

          




 
 
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pythia8-8.1.86.orig/phpdoc/HiggsProcesses.php0000644000175000017500000021456512357553536017310 0ustar  sunsun

Higgs Processes






SETTINGS SAVED TO FILE

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else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Higgs Processes
           
 
This page documents Higgs production within and beyond the Standard Model 
(SM and BSM for short). This includes several different processes and, 
for the BSM scenarios, a large set of parameters that would only be fixed 
within a more specific framework such as MSSM. Some choices can be made 
irrespective of the particular model: 
 


          Higgs:cubicWidth  On
Off
   (default = off)
          
The partial width of a Higgs particle to a pair of gauge bosons, 
W^+ W^- or Z^0 Z^0, depends cubically on the 
Higgs mass. When selecting the Higgs according to a Breit-Wigner, 
so that the actual mass mHat does not agree with the 
nominal m_Higgs one, an ambiguity arises which of the 
two to use [Sey95]. The default is to use a linear 
dependence on mHat, i.e. a width proportional to 
m_Higgs^2 * mHat, while on gives a 
mHat^3 dependence. This does not affect the widths to 
fermions, which only depend linearly on mHat. 
This flag is used both for SM and BSM Higgs bosons. 
   
 


          Higgs:runningLoopMass  On
Off
   (default = on)
          
The partial width of a Higgs particle to a pair of gluons or photons, 
or a gamma Z^0 pair, proceeds in part through quark loops, 
mainly b and t. There is some ambiguity what kind 
of masses to use. Default is running MSbar ones, but alternatively 
fixed pole masses are allowed (as was standard in PYTHIA 6), which 
typically gives a noticeably higher cross section for these channels. 
(For a decay to a pair of fermions, such as top, the running mass is 
used for couplings and the fixed one for phase space.) 
   
 


          Higgs:clipWings  On
Off
   (default = on)
          
The Breit-Wigner shape of a Higgs is nontrivial, owing to the rapid 
width variation with the mass of a Higgs. This implies that a Higgs 
of low nominal mass may still acquire a non-negligible high-end tail. 
The validity of the calculation may be questioned in these wings. 
With this option on, the Higgs:wingsFac value is used to 
cut away the wings. 

          Warning: with this option on, the allowed mass range is 
shrunk, but never widened. This can lead to inconsistencies if a run 
consists of several subruns with different Higgs masses. The 
id:mMin and id:mMax values should therefore be 
reset (e.g. to the defaults 50. and 0.) when id:m0 is 
changed. 
   
 


          Higgs:wingsFac      (default = 50.; minimum = 0.)
          
With Higgs:clipWings on, all Higgs masses which deviate 
from the nominal one by more than Higgs:wingsFac 
times the nominal width are forbidden. This is achieved by setting 
the mMin and mMax values of the Higgs states 
at initialization. These changes never  allow a wider range than already 
set by the user, alternatively by the current default values, see 
warning above. 
   
 

           
One setting is specific to the Standard Model: 
 


          HiggsSM:NLOWidths  On
Off
   (default = on)
          
The partial width of the SM Higgs particle are multiplied by the 
respective factors needed to bring the LO widths encoded in PYTHIA 
to the NLO ones recommended by the LHCXSWG. The multiplicative 
factors have been derived for a 125 GeV Higgs, but should apply for a 
reasonable mass range around that value. 
   


          Standard-Model Higgs, basic processes
           
 
This section provides the standard set of processes that can be 
run together to provide a reasonably complete overview of possible 
production channels for a single SM Higgs. 
The main parameter is the choice of Higgs mass, which can be set in the 
normal ParticleData database; thereafter the properties 
within the SM are essentially fixed. 
 


          HiggsSM:all  On
Off
   (default = off)
          
Common switch for the group of Higgs production within the Standard Model. 
   
 


          HiggsSM:ffbar2H  On
Off
   (default = off)
          
Scattering f fbar → H^0, where f sums over available 
flavours except top. Related to the mass-dependent Higgs point coupling 
to fermions, so at hadron colliders the bottom contribution will 
dominate. 
Code 901. 
   
 


          HiggsSM:gg2H  On
Off
   (default = off)
          
Scattering g g → H^0 via loop contributions primarily from 
top. 
Code 902. 
   
 


          HiggsSM:gmgm2H  On
Off
   (default = off)
          
Scattering gamma gamma → H^0 via loop contributions primarily 
from top and W. 
Code 903. 
   
 


          HiggsSM:ffbar2HZ  On
Off
   (default = off)
          
Scattering f fbar → H^0 Z^0 via s-channel Z^0 
exchange. 
Code 904. 
   
 


          HiggsSM:ffbar2HW  On
Off
   (default = off)
          
Scattering f fbar → H^0 W^+- via s-channel 
W^+- exchange. 
Code 905. 
   
 


          HiggsSM:ff2Hff(t:ZZ)  On
Off
   (default = off)
          
Scattering f f' → H^0 f f' via Z^0 Z^0 fusion. 
Code 906. 
   
 


          HiggsSM:ff2Hff(t:WW)  On
Off
   (default = off)
          
Scattering f_1 f_2 → H^0 f_3 f_4 via W^+ W^- fusion. 
Code 907. 
   
 


          HiggsSM:gg2Httbar  On
Off
   (default = off)
          
Scattering g g → H^0 t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 908. 
   
 


          HiggsSM:qqbar2Httbar  On
Off
   (default = off)
          
Scattering q qbar → H^0 t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 909. 
   
 

          Standard-Model Higgs, further processes
           
 
A number of further production processes has been implemented, that 
are specializations of some of the above ones to the high-pT 
region. The sets therefore could not be used simultaneously 
without unphysical double-counting, as further explained below. 
They are not switched on by the HiggsSM:all flag, but 
have to be switched on for each separate process after due consideration. 
 

           
The first three processes in this section are related to the Higgs 
point coupling to fermions, and so primarily are of interest for 
b quarks. It is here useful to begin by reminding that 
a process like b bbar → H^0 implies that a b/bbar 
is taken from each incoming hadron, leaving behind its respective 
antiparticle. The initial-state showers will then add one 
g → b bbar branching on either side, so that effectively 
the process becomes g g → H0 b bbar. This would be the 
same basic process as the g g → H^0 t tbar one used for top. 
The difference is that (a) no PDF's are defined for top and 
(b) the shower approach would not be good enough to provide sensible 
kinematics for the H^0 t tbar subsystem. By contrast, owing 
to the b being much lighter than the Higgs, multiple 
gluon emissions must be resummed for b, as is done by PDF's 
and showers, in order to obtain a sensible description of the total 
production rate,  when the b quarks predominantly are produced 
at small pT values. 
 


          HiggsSM:qg2Hq  On
Off
   (default = off)
          
Scattering q g → H^0 q. This process gives first-order 
corrections to the f fbar → H^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → H^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → H^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 911. 
 
   


          HiggsSM:gg2Hbbbar  On
Off
   (default = off)
          
Scattering g g → H^0 b bbar. This process is yet one order 
higher of the b bbar → H^0 and b g → H^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 912. 
   
 


          HiggsSM:qqbar2Hbbbar  On
Off
   (default = off)
          
Scattering q qbar → H^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 913. 
   
 

           
The second set of processes are predominantly first-order corrections 
to the g g → H^0 process, again dominated by the top loop. 
We here only provide the kinematical expressions obtained in the 
limit that the top quark goes to infinity, but scaled to the 
finite-top-mass coupling in g g → H^0. (Complete loop 
expressions are available e.g. in PYTHIA 6.4 but are very lengthy.) 
This provides a reasonably accurate description for "intermediate" 
pT values, but fails when the pT scale approaches 
the top mass. 
  


          HiggsSM:gg2Hg(l:t)  On
Off
   (default = off)
          
Scattering g g → H^0 g via loop contributions primarily 
from top. 
Code 914. 
   
  


          HiggsSM:qg2Hq(l:t)  On
Off
   (default = off)
          
Scattering q g → H^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsSM:qg2Hq 
process above, with its direct fermion-to-Higgs coupling. 
Code 915. 
   
  


          HiggsSM:qqbar2Hg(l:t)  On
Off
   (default = off)
          
Scattering q qbar → H^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → H^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 916. 
   
 

          Beyond-the-Standard-Model Higgs, introduction
           
 
Further Higgs multiplets arise in a number of scenarios. We here 
concentrate on the MSSM scenario with two Higgs doublets, but with 
flexibility enough that also other two-Higgs-doublet scenarios could 
be represented by a suitable choice of parameters. Conventionally the 
Higgs states are labeled h^0, H^0, A^0 and H^+-. 
If the scalar and pseudocalar states mix the resulting states are 
labeled H_1^0, H_2^0, H_3^0. In process names and parameter 
explanations both notations will be used, but for settings labels 
we have adapted the shorthand hybrid notation H1 for 
h^0(H_1^0), H2 for H^0(H_2^0) and 
A3 for A^0(H_3^0). (Recall that the 
Settings database does not distinguish upper- and lowercase 
characters, so that the user has one thing less to worry about, but here 
it causes problems with h^0 vs. H^0.) We leave the issue 
of mass ordering between H^0 and A^0 open, and thereby 
also that of H_2^0 and H_3^0. 
 


          Higgs:useBSM  On
Off
   (default = off)
          
Master switch to initialize and use the two-Higgs-doublet states. 
If off, only the above SM Higgs processes can be used, with couplings 
as predicted in the SM. If on, only the below BSM Higgs processes can 
be used, with couplings that can be set freely, also found further down 
on this page. 
   
 

          Beyond-the-Standard-Model Higgs, basic processes
           
 
This section provides the standard set of processes that can be 
run together to provide a reasonably complete overview of possible 
production channels for a single neutral Higgs state in a two-doublet 
scenarios such as MSSM. The list of processes for neutral states closely 
mimics the one found for the SM Higgs. Some of the processes 
vanish for a pure pseudoscalar A^0, but are kept for flexibility 
in cases of mixing with the scalar h^0 and H^0 states, 
or for use in the context of non-MSSM models. This should work well to 
represent e.g. that a small admixture of the "wrong" parity would allow 
a process such as q qbar → A^0 Z^0, which otherwise is 
forbidden. However, note that the loop integrals e.g. for 
g g → h^0/H^0/A^0 are hardcoded to be for scalars for the 
former two particles and for a pseudoscalar for the latter one, 
so absolute rates would not be correctly represented in the case of 
large scalar/pseudoscalar mixing. 
 


          HiggsBSM:all  On
Off
   (default = off)
          
Common switch for the group of Higgs production beyond the Standard Model, 
as listed below. 
   
 

          1) h^0(H_1^0) processes
           
 


          HiggsBSM:allH1  On
Off
   (default = off)
          
Common switch for the group of h^0(H_1^0) production processes. 
   
 


          HiggsBSM:ffbar2H1  On
Off
   (default = off)
          
Scattering f fbar → h^0(H_1^0), where f sums over 
available flavours except top. 
Code 1001. 
   
 


          HiggsBSM:gg2H1  On
Off
   (default = off)
          
Scattering g g → h^0(H_1^0) via loop contributions primarily 
from top. 
Code 1002. 
   
 


          HiggsBSM:gmgm2H1  On
Off
   (default = off)
          
Scattering gamma gamma → h^0(H_1^0) via loop contributions 
primarily from top and W. 
Code 1003. 
   
 


          HiggsBSM:ffbar2H1Z  On
Off
   (default = off)
          
Scattering f fbar → h^0(H_1^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1004. 
   
 


          HiggsBSM:ffbar2H1W  On
Off
   (default = off)
          
Scattering f fbar → h^0(H_1^0) W^+- via s-channel 
W^+- exchange. 
Code 1005. 
   
 


          HiggsBSM:ff2H1ff(t:ZZ)  On
Off
   (default = off)
          
Scattering f f' → h^0(H_1^0) f f' via Z^0 Z^0 fusion. 
Code 1006. 
   
 


          HiggsBSM:ff2H1ff(t:WW)  On
Off
   (default = off)
          
Scattering f_1 f_2 → h^0(H_1^0) f_3 f_4 via W^+ W^- 
fusion. 
Code 1007. 
   
 


          HiggsBSM:gg2H1ttbar  On
Off
   (default = off)
          
Scattering g g → h^0(H_1^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1008. 
   
 


          HiggsBSM:qqbar2H1ttbar  On
Off
   (default = off)
          
Scattering q qbar → h^0(H_1^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1009. 
 
 

          2) H^0(H_2^0) processes
           
 


          HiggsBSM:allH2  On
Off
   (default = off)
          
Common switch for the group of H^0(H_2^0) production processes. 
   
 


          HiggsBSM:ffbar2H2  On
Off
   (default = off)
          
Scattering f fbar → H^0(H_2^0), where f sums over 
available flavours except top. 
Code 1021. 
   
 


          HiggsBSM:gg2H2  On
Off
   (default = off)
          
Scattering g g → H^0(H_2^0) via loop contributions primarily 
from top. 
Code 1022. 
   
 


          HiggsBSM:gmgm2H2  On
Off
   (default = off)
          
Scattering gamma gamma → H^0(H_2^0) via loop contributions 
primarily from top and W. 
Code 1023. 
   
 


          HiggsBSM:ffbar2H2Z  On
Off
   (default = off)
          
Scattering f fbar → H^0(H_2^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1024. 
   
 


          HiggsBSM:ffbar2H2W  On
Off
   (default = off)
          
Scattering f fbar → H^0(H_2^0) W^+- via s-channel 
W^+- exchange. 
Code 1025. 
   
 


          HiggsBSM:ff2H2ff(t:ZZ)  On
Off
   (default = off)
          
Scattering f f' → H^0(H_2^0) f f' via Z^0 Z^0 fusion. 
Code 1026. 
   
 


          HiggsBSM:ff2H2ff(t:WW)  On
Off
   (default = off)
          
Scattering f_1 f_2 → H^0(H_2^0) f_3 f_4 via W^+ W^- 
fusion. 
Code 1027. 
   
 


          HiggsBSM:gg2H2ttbar  On
Off
   (default = off)
          
Scattering g g → H^0(H_2^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1028. 
   
 


          HiggsBSM:qqbar2H2ttbar  On
Off
   (default = off)
          
Scattering q qbar → H^0(H_2^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1029. 
 

          3) A^0(H_3^0) processes
           
 


          HiggsBSM:allA3  On
Off
   (default = off)
          
Common switch for the group of A^0(H_3^0) production processes. 
   
 


          HiggsBSM:ffbar2A3  On
Off
   (default = off)
          
Scattering f fbar → A^0(H_3^0), where f sums over 
available flavours except top. 
Code 1041. 
   
 


          HiggsBSM:gg2A3  On
Off
   (default = off)
          
Scattering g g → A^0(A_3^0) via loop contributions primarily 
from top. 
Code 1042. 
   
 


          HiggsBSM:gmgm2A3  On
Off
   (default = off)
          
Scattering gamma gamma → A^0(A_3^0) via loop contributions 
primarily from top and W. 
Code 1043. 
   
 


          HiggsBSM:ffbar2A3Z  On
Off
   (default = off)
          
Scattering f fbar → A^0(A_3^0) Z^0 via s-channel 
Z^0 exchange. 
Code 1044. 
   
 


          HiggsBSM:ffbar2A3W  On
Off
   (default = off)
          
Scattering f fbar → A^0(A_3^0) W^+- via s-channel 
W^+- exchange. 
Code 1045. 
   
 


          HiggsBSM:ff2A3ff(t:ZZ)  On
Off
   (default = off)
          
Scattering f f' → A^0(A_3^0) f f' via Z^0 Z^0 fusion. 
Code 1046. 
   
 


          HiggsBSM:ff2A3ff(t:WW)  On
Off
   (default = off)
          
Scattering f_1 f_2 → A^0(A_3^0) f_3 f_4 via W^+ W^- 
fusion. Code 1047. 
   
 


          HiggsBSM:gg2A3ttbar  On
Off
   (default = off)
          
Scattering g g → A^0(A_3^0) t tbar via t tbar fusion 
(or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1048. 
   
 


          HiggsBSM:qqbar2A3ttbar  On
Off
   (default = off)
          
Scattering q qbar → A^0(A_3^0) t tbar via t tbar 
fusion (or, alternatively put, Higgs radiation off a top line). 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1049. 
 

          4) H+- processes
           
 


          HiggsBSM:allH+-  On
Off
   (default = off)
          
Common switch for the group of H^+- production processes. 
   
 


          HiggsBSM:ffbar2H+-  On
Off
   (default = off)
          
Scattering f fbar' → H^+-, where f, fbar' sums over 
available incoming flavours. Since couplings are assumed 
generation-diagonal, in practice this means c sbar → H^+ 
and s cbar → H^-. 
Code 1061. 
   
 


          HiggsBSM:bg2H+-t  On
Off
   (default = off)
          
Scattering b g → H^+ tbar. At hadron colliders this is the 
dominant process for single-charged-Higgs production. 
Code 1062. 
   
 

          5) Higgs-pair processes
           
 


          HiggsBSM:allHpair  On
Off
   (default = off)
          
Common switch for the group of Higgs pair-production processes. 
   
 


          HiggsBSM:ffbar2A3H1  On
Off
   (default = off)
          
Scattering f fbar → A^0(H_3) h^0(H_1). 
Code 1081. 
   
 


          HiggsBSM:ffbar2A3H2  On
Off
   (default = off)
          
Scattering f fbar → A^0(H_3) H^0(H_2). 
Code 1082. 
   
 


          HiggsBSM:ffbar2H+-H1  On
Off
   (default = off)
          
Scattering f fbar → H^+- h^0(H_1). 
Code 1083. 
   
 


          HiggsBSM:ffbar2H+-H2  On
Off
   (default = off)
          
Scattering f fbar → H^+- H^0(H_2). 
Code 1084. 
   
 


          HiggsBSM:ffbar2H+H-  On
Off
   (default = off)
          
Scattering f fbar → H+ H-. 
Code 1085. 
   
 

          Beyond-the-Standard-Model Higgs, further processes
           
 
This section mimics the above section on "Standard-Model Higgs, 
further processes", i.e. it contains higher-order corrections 
to the processes already listed. The two sets therefore could not 
be used simultaneously without unphysical double-counting. 
They are not controlled by any group flag, but have to be switched 
on for each separate process after due consideration. We refer to 
the standard-model description for a set of further comments on 
the processes. 
 

          1) h^0(H_1^0) processes
           
 


          HiggsBSM:qg2H1q  On
Off
   (default = off)
          
Scattering q g → h^0 q. This process gives first-order 
corrections to the f fbar → h^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → h^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → h^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1011. 
   
 


          HiggsBSM:gg2H1bbbar  On
Off
   (default = off)
          
Scattering g g → h^0 b bbar. This process is yet one order 
higher of the b bbar → h^0 and b g → h^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1012. 
   
 


          HiggsBSM:qqbar2H1bbbar  On
Off
   (default = off)
          
Scattering q qbar → h^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1013. 
   
  


          HiggsBSM:gg2H1g(l:t)  On
Off
   (default = off)
          
Scattering g g → h^0 g via loop contributions primarily 
from top. 
Code 1014. 
   
  


          HiggsBSM:qg2H1q(l:t)  On
Off
   (default = off)
          
Scattering q g → h^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1015. 
   
  


          HiggsBSM:qqbar2H1g(l:t)  On
Off
   (default = off)
          
Scattering q qbar → h^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → h^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1016. 
   
 

          2) H^0(H_2^0) processes
           
 


          HiggsBSM:qg2H2q  On
Off
   (default = off)
          
Scattering q g → H^0 q. This process gives first-order 
corrections to the f fbar → H^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → H^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → H^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1031. 
   
 


          HiggsBSM:gg2H2bbbar  On
Off
   (default = off)
          
Scattering g g → H^0 b bbar. This process is yet one order 
higher of the b bbar → H^0 and b g → H^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1032. 
   
 


          HiggsBSM:qqbar2H2bbbar  On
Off
   (default = off)
          
Scattering q qbar → H^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1033. 
   
  


          HiggsBSM:gg2H2g(l:t)  On
Off
   (default = off)
          
Scattering g g → H^0 g via loop contributions primarily 
from top. 
Code 1034. 
   
  


          HiggsBSM:qg2H2q(l:t)  On
Off
   (default = off)
          
Scattering q g → H^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1035. 
   
  


          HiggsBSM:qqbar2H2g(l:t)  On
Off
   (default = off)
          
Scattering q qbar → H^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → H^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1036. 
   
 

          3) A^0(H_3^0) processes
           
 


          HiggsBSM:qg2A3q  On
Off
   (default = off)
          
Scattering q g → A^0 q. This process gives first-order 
corrections to the f fbar → A^0 one above, and should only be 
used to study  the high-pT tail, while f fbar → A^0 
should be used for inclusive production. Only the dominant c 
and b contributions are included, and generated separately 
for technical reasons. Note that another first-order process would be 
q qbar → A^0 g, which is not explicitly implemented here, 
but is obtained from showering off the lowest-order process. It does not 
contain any b at large pT, however, so is less 
interesting for many applications. 
Code 1051. 
   
 


          HiggsBSM:gg2A3bbbar  On
Off
   (default = off)
          
Scattering g g → A^0 b bbar. This process is yet one order 
higher of the b bbar → A^0 and b g → A^0 b chain, 
where now two quarks should be required above some large pT 
threshold. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1052. 
   
 


          HiggsBSM:qqbar2A3bbbar  On
Off
   (default = off)
          
Scattering q qbar → A^0 b bbar via an s-channel 
gluon, so closely related to the previous one, but typically less 
important owing to the smaller rate of (anti)quarks relative to 
gluons. 
Warning: unfortunately this process is rather slow, owing to a 
lengthy cross-section expression and inefficient phase-space selection. 
Code 1053. 
   
  


          HiggsBSM:gg2A3g(l:t)  On
Off
   (default = off)
          
Scattering g g → A^0 g via loop contributions primarily 
from top. 
Code 1054. 
   
  


          HiggsBSM:qg2A3q(l:t)  On
Off
   (default = off)
          
Scattering q g → A^0 q via loop contributions primarily 
from top. Not to be confused with the HiggsBSM:qg2H1q 
process above, with its direct fermion-to-Higgs coupling. 
Code 1055. 
   
  


          HiggsBSM:qqbar2A3g(l:t)  On
Off
   (default = off)
          
Scattering q qbar → A^0 g via an s-channel gluon 
and loop contributions primarily from top. Is strictly speaking a 
"new" process, not directly derived from g g → A^0, and 
could therefore be included in the standard mix without double-counting, 
but is numerically negligible. 
Code 1056. 
   
 

          Parameters for Beyond-the-Standard-Model Higgs production and decay
           
 
This section offers a big flexibility to set couplings of the various 
Higgs states to fermions and gauge bosons, and also to each other. 
The intention is that, for scenarios like MSSM, you should use standard 
input from the ";?>SUSY Les Houches 
Accord, rather than having to set it all yourself. In other cases, 
however, the freedom is there for you to use. Kindly note that some 
of the internal calculations of partial widths from the parameters provided 
do not include mixing between the scalar and pseudoscalar states. 
 

           
Masses would be set in the ParticleData database, 
while couplings are set below. When possible, the couplings of the Higgs 
states are normalized to the corresponding coupling within the SM. 
When not, their values within the MSSM are indicated, from which 
it should be straightforward to understand what to use instead. 
The exception is some couplings that vanish also in the MSSM, where the 
normalization has been defined in close analogy with nonvanishing ones. 
Some parameter names are asymmetric but crossing can always be used, 
i.e. the coupling for A^0 → H^0 Z^0 obviously is also valid 
for H^0 → A^0 Z^0 and Z^0 → H^0 A^0. 
Note that couplings usually appear quadratically in matrix elements. 
 


          HiggsH1:coup2d      (default = 1.)
          
The h^0(H_1^0) coupling to down-type quarks. 
   
 


          HiggsH1:coup2u      (default = 1.)
          
The h^0(H_1^0) coupling to up-type quarks. 
   
 


          HiggsH1:coup2l      (default = 1.)
          
The h^0(H_1^0) coupling to (charged) leptons. 
   
 


          HiggsH1:coup2Z      (default = 1.)
          
The h^0(H_1^0) coupling to Z^0. 
   
 


          HiggsH1:coup2W      (default = 1.)
          
The h^0(H_1^0) coupling to W^+-. 
   
 


          HiggsH1:coup2Hchg      (default = 0.)
          
The h^0(H_1^0) coupling to H^+- (in loops). 
Is sin(beta - alpha) + cos(2 beta) sin(beta + alpha) / 
(2 cos^2theta_W) in the MSSM. 
   
 


          HiggsH2:coup2d      (default = 1.)
          
The H^0(H_2^0) coupling to down-type quarks. 
   
 


          HiggsH2:coup2u      (default = 1.)
          
The H^0(H_2^0) coupling to up-type quarks. 
   
 


          HiggsH2:coup2l      (default = 1.)
          
The H^0(H_2^0) coupling to (charged) leptons. 
   
 


          HiggsH2:coup2Z      (default = 1.)
          
The H^0(H_2^0) coupling to Z^0. 
   
 


          HiggsH2:coup2W      (default = 1.)
          
The H^0(H_2^0) coupling to W^+-. 
   
 


          HiggsH2:coup2Hchg      (default = 0.)
          
The H^0(H_2^0) coupling to H^+- (in loops). 
Is cos(beta - alpha) + cos(2 beta) cos(beta + alpha) / 
(2 cos^2theta_W) in the MSSM. 
   
 


          HiggsH2:coup2H1H1      (default = 1.)
          
The H^0(H_2^0) coupling to a h^0(H_1^0) pair. 
Is cos(2 alpha) cos(beta + alpha) - 2 sin(2 alpha) 
sin(beta + alpha) in the MSSM. 
   
 


          HiggsH2:coup2A3A3      (default = 1.)
          
The H^0(H_2^0) coupling to an A^0(H_3^0) pair. 
Is cos(2 beta) cos(beta + alpha) in the MSSM. 
   
 


          HiggsH2:coup2H1Z      (default = 0.)
          
The H^0(H_2^0) coupling to a h^0(H_1^0) Z^0 pair. 
Vanishes in the MSSM. 
   
 


          HiggsH2:coup2A3H1      (default = 0.)
          
The H^0(H_2^0) coupling to an A^0(H_3^0) h^0(H_1^0) pair. 
Vanishes in the MSSM. 
   
 


          HiggsH2:coup2HchgW      (default = 0.)
          
The H^0(H_2^0) coupling to a H^+- W-+ pair. 
Is sin(beta - alpha) in the MSSM. 
   
 


          HiggsA3:coup2d      (default = 1.)
          
The A^0(H_3^0) coupling to down-type quarks. 
   
 


          HiggsA3:coup2u      (default = 1.)
          
The A^0(H_3^0) coupling to up-type quarks. 
   
 


          HiggsA3:coup2l      (default = 1.)
          
The A^0(H_3^0) coupling to (charged) leptons. 
   
 


          HiggsA3:coup2H1Z      (default = 1.)
          
The A^0(H_3^0) coupling to a h^0(H_1^0) Z^0 pair. 
Is cos(beta - alpha) in the MSSM. 
   
 


          HiggsA3:coup2H2Z      (default = 1.)
          
The A^0(H_3^0) coupling to a H^0(H_2^0) Z^0 pair. 
Is sin(beta - alpha) in the MSSM. 
   
 


          HiggsA3:coup2Z      (default = 0.)
          
The A^0(H_3^0) coupling to Z^0. 
Vanishes in the MSSM. 
   
 


          HiggsA3:coup2W      (default = 0.)
          
The A^0(H_3^0) coupling to W^+-. 
Vanishes in the MSSM. 
   
 


          HiggsA3:coup2H1H1      (default = 0.)
          
The A^0(H_3^0) coupling to a h^0(H_1^0) pair. 
Vanishes in the MSSM. 
   
 


          HiggsA3:coup2Hchg      (default = 0.)
          
The A^0(H_3^0) coupling to H^+-. 
Vanishes in the MSSM. 
   
 


          HiggsA3:coup2HchgW      (default = 1.)
          
The A^0(H_3^0) coupling to a H^+- W-+ pair. 
Is 1 in the MSSM. 
   
 


          HiggsHchg:tanBeta      (default = 5.)
          
The tan(beta) value, which leads to an enhancement of the 
H^+- coupling to down-type fermions and suppression to 
up-type ones. The same angle also appears in many other places, 
but this particular parameter is only used for the charged-Higgs case. 
   
 


          HiggsHchg:coup2H1W      (default = 1.)
          
The H^+- coupling to a h^0(H_1^0) W^+- pair. 
Is cos(beta - alpha) in the MSSM. 
   
 


          HiggsHchg:coup2H2W      (default = 0.)
          
The H^+- coupling to a H^0(H_2^0) W^+- pair. 
Is sin(beta - alpha) in the MSSM. 
   
 

           
Another set of parameters are not used in the production stage but 
exclusively for the description of angular distributions in decays. 
 


          HiggsH1:parity      (default = 1; minimum = 0; maximum = 3)
          
possibility to modify angular decay correlations in the decay of a 
h^0(H_1) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 

          
0 : 
          
1 : assuming the h^0(H_1) is a pure scalar  (CP-even), as in the MSSM.
          
2 : assuming the h^0(H_1) is a pure pseudoscalar  (CP-odd).
          
3 : assuming the h^0(H_1) is a mixture of the two,  including the CP-violating interference term. The parameter  eta, see below, sets the strength of the CP-odd admixture,  with the interference term being proportional to eta  and the CP-odd one to eta^2.
          
 


          HiggsH1:etaParity      (default = 0.)
          
The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
   
 


          HiggsH2:parity      (default = 1; minimum = 0; maximum = 3)
          
possibility to modify angular decay correlations in the decay of a 
H^0(H_2) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 

          
0 : 
          
1 : assuming the H^0(H_2) is a pure scalar  (CP-even), as in the MSSM.
          
2 : assuming the H^0(H_2) is a pure pseudoscalar  (CP-odd).
          
3 : assuming the H^0(H_2) is a mixture of the two,  including the CP-violating interference term. The parameter  eta, see below, sets the strength of the CP-odd admixture,  with the interference term being proportional to eta  and the CP-odd one to eta^2.
          
 


          HiggsH2:etaParity      (default = 0.)
          
The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
   
 


          HiggsA3:parity      (default = 2; minimum = 0; maximum = 3)
          
possibility to modify angular decay correlations in the decay of a 
A^0(H_3) decay Z^0 Z^0 or W^+ W^- to four 
fermions. Currently it does not affect the partial width of the 
channels, which is only based on the above parameters. 

          
0 : 
          
1 : assuming the A^0(H_3) is a pure scalar  (CP-even).
          
2 : assuming the A^0(H_3) is a pure pseudoscalar  (CP-odd), as in the MSSM.
          
3 : assuming the A^0(H_3) is a mixture of the two,  including the CP-violating interference term. The parameter  eta, see below, sets the strength of the CP-odd admixture,  with the interference term being proportional to eta  and the CP-odd one to eta^2.
          
 


          HiggsA3:etaParity      (default = 0.)
          
The eta value of CP-violation in the 
HiggsSM:parity = 3 option. 
   
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/LeftRightSymmetryProcesses.php0000644000175000017500000003455212357553536021705 0ustar  sunsun

Left-Right-Symmetry Processes






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Left-Right-Symmetry Processes
           
 
At current energies, the world is left-handed, i.e. the Standard Model 
contains an SU(2)_L group. Left-right symmetry at some larger 
scale implies the need for an SU(2)_R group. Thus the particle 
content is expanded by right-handed Z_R^0 and W_R^+- 
and right-handed neutrinos. The Higgs fields have to be in a triplet 
representation, leading to doubly-charged Higgs particles, one set for 
each of the two SU(2) groups. Also the number of neutral and 
singly-charged Higgs states is increased relative to the Standard Model, 
but a search for the lowest-lying states of this kind is no different 
from e.g. the freedom already accorded by the MSSM Higgs scenarios. 
 

           
PYTHIA implements the scenario of [Hui97]. 
 

           
The W_R^+- has been implemented as a simple copy of the 
ordinary W^+-, with the exception that it couples to 
right-handed neutrinos instead of the ordinary left-handed ones. 
Thus the standard CKM matrix is used in the quark sector, and the 
same vector and axial coupling strengths, leaving only the mass as 
free parameter. The Z_R^0 implementation (without interference 
with the photon or the ordinary Z^0) allows decays both to 
left- and right-handed neutrinos, as well as other fermions, according 
to one specific model ansatz. Obviously both the W_R^+- 
and the Z_R^0 descriptions are  likely to be simplifications, 
but provide a starting point. 
 

           
For the doubly-charged Higgs bosons, the main decay modes implemented are 
H_L^++ → W_L^+ W_L^+, l_i^+ l_j^+  (i, j generation 
indices) and H_R^++ → W_R^+ W_R^+, l_i^+ l_j^+. 
 

           
The right-handed neutrinos can be allowed to decay further. Assuming them 
to have a mass below that of W_R^+-, they decay to three-body 
states via a virtual W_R^+-, nu_Rl → l+- f fbar', 
where both lepton charges are allowed owing to the Majorana character 
of the neutrinos. If there is a significant mass splitting, also 
sequential decays nu_Rl → l+- l'-+  nu'_Rl are allowed. 
Currently the decays are isotropic in phase space. If the neutrino 
masses are close to or above the W_R^ ones, this description 
has to be substituted by a sequential decay via a real W_R^ 
(not implemented, but actually simpler to do than the one here). 
 
 

          Production processes
           
 
A few different production processes have been implemented, which normally 
would not overlap and therefore could be run together. 
 


          LeftRightSymmmetry:all  On
Off
   (default = off)
          
Common switch for the group of implemented processes within a 
left-right-symmetric scenario. 
   
 


          LeftRightSymmmetry:ffbar2ZR  On
Off
   (default = off)
          
Scatterings f fbar → Z_R^0. 
Code 3101. 
   
 


          LeftRightSymmmetry:ffbar2WR  On
Off
   (default = off)
          
Scatterings . 
Code 3102. 
   
 


          LeftRightSymmmetry:ll2HL  On
Off
   (default = off)
          
Scatterings l_i l_j → H_L^--. 
Code 3121. 
   
 


          LeftRightSymmmetry:lgm2HLe  On
Off
   (default = off)
          
Scatterings l_i gamma → H_L^-- e^+. 
Code 3122. 
   
 


          LeftRightSymmmetry:lgm2HLmu  On
Off
   (default = off)
          
Scatterings l_i gamma → H_L^-- mu^+. 
Code 3123. 
   
 


          LeftRightSymmmetry:lgm2HLtau  On
Off
   (default = off)
          
Scatterings l_i gamma → H_L^-- tau^+. 
Code 3124. 
   
 


          LeftRightSymmmetry:ff2HLff  On
Off
   (default = off)
          
Scatterings f_1 f_2 → H_L^-- f_3 f_4 via WW fusion. 
Code 3125. 
   
 


          LeftRightSymmmetry:ffbar2HLHL  On
Off
   (default = off)
          
Scatterings f fbar →  H_L^++ H_L^--. 
Code 3126. 
   
 


          LeftRightSymmmetry:ll2HR  On
Off
   (default = off)
          
Scatterings l_i l_j → H_R^--. 
Code 3141. 
   
 


          LeftRightSymmmetry:lgm2HRe  On
Off
   (default = off)
          
Scatterings l_i gamma → H_R^-- e^+. 
Code 3142. 
   
 


          LeftRightSymmmetry:lgm2HRmu  On
Off
   (default = off)
          
Scatterings l_i gamma → H_R^-- mu^+. 
Code 3143. 
   
 


          LeftRightSymmmetry:lgm2HRtau  On
Off
   (default = off)
          
Scatterings l_i gamma → H_R^-- tau^+. 
Code 3144. 
   
 


          LeftRightSymmmetry:ff2HRff  On
Off
   (default = off)
          
Scatterings f_1 f_2 → H_R^-- f_3 f_4 via WW fusion. 
Code 3145. 
   
 


          LeftRightSymmmetry:ffbar2HRHR  On
Off
   (default = off)
          
Scatterings f fbar →  H_R^++ H_R^--. 
Code 3146. 
   
 

          Parameters
           
 
The basic couplings of the model are 
 


          LeftRightSymmmetry:gL      (default = 0.64; minimum = 0.0)
          
lefthanded coupling g_L = e / sin(theta). 
   
 


          LeftRightSymmmetry:gR      (default = 0.64; minimum = 0.0)
          
righthanded coupling g_R, assumed the same as g_L. 
   
 


          LeftRightSymmmetry:vL      (default = 5.; minimum = 0.0)
          
vacuum expectation value v_L (in GeV) for the left-triplet. 
   
 

           
The corresponding vacuum expectation value v_R is assumed 
given by v_R = sqrt(2) M_WR / g_R and is not stored explicitly. 
 

           
The Yukawa couplings of a lepton pair to a H^--, assumed the 
same for H_L^-- and H_R^--, is described by a symmetric 
3-by-3 matrix. The default matrix is dominated by the diagonal elements 
and especially by the tau tau one. 
 


          LeftRightSymmmetry:coupHee      (default = 0.1; minimum = 0.0)
          
Yukawa coupling for H^-- → e- e-. 
   
 


          LeftRightSymmmetry:coupHmue      (default = 0.01; minimum = 0.0)
          
Yukawa coupling for H^-- → mu- e-. 
   
 


          LeftRightSymmmetry:coupHmumu      (default = 0.1; minimum = 0.0)
          
Yukawa coupling for H^-- → mu- mu-. 
   
 


          LeftRightSymmmetry:coupHtaue      (default = 0.01; minimum = 0.0)
          
Yukawa coupling for H^-- → tau- e-. 
   
 


          LeftRightSymmmetry:coupHtaumu      (default = 0.01; minimum = 0.0)
          
Yukawa coupling for H^-- → tau- mu-. 
   
 


          LeftRightSymmmetry:coupHtautau      (default = 0.3; minimum = 0.0)
          
Yukawa coupling for H^-- → tau- tau-. 
   
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/NewGaugeBosonProcesses.php0000644000175000017500000005730112357553536020743 0ustar  sunsun

New-Gauge-Boson Processes






SETTINGS SAVED TO FILE

          "; }
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          "; }
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          New-Gauge-Boson Processes
           
 
This page contains the production of new Z'^0 and 
W'^+- gauge bosons, e.g. within the context of a new 
U(1) or SU(2) gauge group, and also a 
(rather speculative) horizontal gauge boson R^0. 
Left-right-symmetry scenarios also contain new gauge bosons, 
but are described 
";?>separately. 
  

          Z'^0
           
   
This group only contains one subprocess, with the full 
gamma^*/Z^0/Z'^0 interference structure for couplings 
to fermion pairs. It is possible to pick only a subset, e.g, only 
the pure Z'^0 piece. No higher-order processes are 
available explicitly, but the ISR showers contain automatic 
matching to the Z'^0 + 1 jet matrix elements, as for 
the corresponding gamma^*/Z^0 process. 
   


          NewGaugeBoson:ffbar2gmZZprime  On
Off
   (default = off)
          
Scattering f fbar →Z'^0. 
Code 3001. 
   
 


          Zprime:gmZmode      (default = 0; minimum = 0; maximum = 6)
          
Choice of full gamma^*/Z^0/Z'^0 structure or not in 
the above process. Note that, with the Z'^0 part switched 
off, this process is reduced to what already exists among 
electroweak processes, 
so those options are here only for crosschecks. 

          
0 : full gamma^*/Z^0/Z'^0 structure,  with interference included.
          
1 : full gamma^*/Z^0/Z'^0 structure,  with interference included.
          
2 : full gamma^*/Z^0/Z'^0 structure,  with interference included.
          
3 : full gamma^*/Z^0/Z'^0 structure,  with interference included.
          
4 : only the gamma^*/Z^0 contribution,  including interference.
          
5 : only the gamma^*/Z'^0 contribution,  including interference.
          
6 : only the Z^0/Z'^0 contribution,  including interference.
          

          Note: irrespective of the option used, the particle produced 
will always be assigned code 32 for Z'^0, and open decay channels 
is purely dictated by what is set for the Z'^0. 
 

           
The couplings of the Z'^0 to quarks and leptons can 
either be assumed universal, i.e. generation-independent, or not. 
In the former case eight numbers parametrize the vector and axial 
couplings of down-type quarks, up-type quarks, leptons and neutrinos, 
respectively. Depending on your assumed neutrino nature you may 
want to restrict your freedom in that sector, but no limitations 
are enforced by the program. The default corresponds to the same 
couplings as that of the Standard Model Z^0, with axial 
couplings a_f = +-1 and vector couplings 
v_f = a_f - 4 e_f sin^2(theta_W), with 
sin^2(theta_W) = 0.23. Without universality 
the same eight numbers have to be set separately also for the 
second and the third generation. The choice of fixed axial and 
vector couplings implies a resonance width that increases linearly 
with the Z'^0 mass. 
 

           
By a suitable choice of the parameters, it is possible to simulate 
just about any imaginable Z'^0 scenario, with full 
interference effects in cross sections and decay angular 
distributions and generation-dependent couplings; the default values 
should mainly be viewed as placeholders. The conversion 
from the coupling conventions in a set of different Z'^0 
models in the literature to those used in PYTHIA is described in
[Cio08].
 


          Zprime:universality  On
Off
   (default = on)
          
If on then you need only set the first-generation couplings 
below, and these are automatically also used for the second and 
third generation. If off, then couplings can be chosen separately 
for each generation. 
   
 

           
Here are the couplings always valid for the first generation, 
and normally also for the second and third by trivial analogy: 
 


          Zprime:vd      (default = -0.693)
          
vector coupling of d quarks. 
   
 


          Zprime:ad      (default = -1.)
          
axial coupling of d quarks. 
   
 


          Zprime:vu      (default = 0.387)
          
vector coupling of u quarks. 
   
 


          Zprime:au      (default = 1.)
          
axial coupling of u quarks. 
   
 


          Zprime:ve      (default = -0.08)
          
vector coupling of e leptons. 
   
 


          Zprime:ae      (default = -1.)
          
axial coupling of e leptons. 
   
 


          Zprime:vnue      (default = 1.)
          
vector coupling of nu_e neutrinos. 
   
 


          Zprime:anue      (default = 1.)
          
axial coupling of nu_e neutrinos. 
   
 

           
Here are the further couplings that are specific for 
a scenario with Zprime:universality switched off: 
 


          Zprime:vs      (default = -0.693)
          
vector coupling of s quarks. 
   
 


          Zprime:as      (default = -1.)
          
axial coupling of s quarks. 
   
 


          Zprime:vc      (default = 0.387)
          
vector coupling of c quarks. 
   
 


          Zprime:ac      (default = 1.)
          
axial coupling of c quarks. 
   
 


          Zprime:vmu      (default = -0.08)
          
vector coupling of mu leptons. 
   
 


          Zprime:amu      (default = -1.)
          
axial coupling of mu leptons. 
   
 


          Zprime:vnumu      (default = 1.)
          
vector coupling of nu_mu neutrinos. 
   
 


          Zprime:anumu      (default = 1.)
          
axial coupling of nu_mu neutrinos. 
   
 


          Zprime:vb      (default = -0.693)
          
vector coupling of b quarks. 
   
 


          Zprime:ab      (default = -1.)
          
axial coupling of b quarks. 
   
 


          Zprime:vt      (default = 0.387)
          
vector coupling of t quarks. 
   
 


          Zprime:at      (default = 1.)
          
axial coupling of t quarks. 
   
 


          Zprime:vtau      (default = -0.08)
          
vector coupling of tau leptons. 
   
 


          Zprime:atau      (default = -1.)
          
axial coupling of tau leptons. 
   
 


          Zprime:vnutau      (default = 1.)
          
vector coupling of nu_tau neutrinos. 
   
 


          Zprime:anutau      (default = 1.)
          
axial coupling of nu_tau neutrinos. 
   
 

           
The coupling to the decay channel Z'^0 → W^+ W^- is 
more model-dependent. By default it is therefore off, but can be 
switched on as follows. Furthermore, we have left some amount of 
freedom in the choice of decay angular correlations in this 
channel, but obviously alternative shapes could be imagined. 
 


          Zprime:coup2WW      (default = 0.; minimum = 0.)
          
the coupling Z'^0 → W^+ W^- is taken to be this number 
times m_W^2 / m_Z'^2 times the Z^0 → W^+ W^- 
coupling. Thus a unit value corresponds to the 
Z^0 → W^+ W^- coupling, scaled down by a factor 
m_W^2 / m_Z'^2, and gives a Z'^0 partial 
width into this channel that again increases linearly. If you 
cancel this behaviour, by letting Zprime:coup2WW be 
proportional to m_Z'^2 / m_W^2, you instead obtain a 
partial width that goes like the fifth power of the Z'^0 
mass. These two extremes correspond to the "extended gauge model" 
and the "reference model", respectively, of [Alt89]. 
Note that this channel only includes the pure Z' part, 
while f fbar → gamma^*/Z^*0 → W^+ W^- is available 
as a separate electroweak process. 
   
 


          Zprime:anglesWW      (default = 0.; minimum = 0.; maximum = 1.)
          
in the decay chain Z'^0 → W^+ W^- →f_1 fbar_2 f_3 fbar_4 
the decay angular distributions is taken to be a mixture of two 
possible shapes. This parameter gives the fraction that is distributed 
as in Higgs h^0 → W^+ W^- (longitudinal bosons), 
with the remainder (by default all) is taken to be the same as for 
Z^0 → W^+ W^- (a mixture of transverse and longitudinal 
bosons). 
   
 

           
A massive Z'^0 is also likely to decay into Higgs bosons 
and potentially into other now unknown particles. Such possibilities 
clearly are quite model-dependent, and have not been included 
for now. 
 

          W'^+-
           
   
The W'^+- implementation is less ambitious than the 
Z'^0. Specifically, while indirect detection of a 
Z'^0 through its interference contribution is 
a possible discovery channel in lepton colliders, there is no 
equally compelling case for W^+-/W'^+- interference 
effects being of importance for discovery, and such interference 
has therefore not been implemented for now. Related to this, a 
Z'^0 could appear on its own in a new U(1) group, 
while W'^+- would have to sit in a SU(2) group 
and thus have a Z'^0 partner that is likely to be found 
first. Only one process is implemented but, like for the 
W^+-, the ISR showers contain automatic matching to the 
W'^+- + 1 jet matrix elements. 
 


          NewGaugeBoson:ffbar2Wprime  On
Off
   (default = off)
          
Scattering f fbar' → W'^+-. 
Code 3021. 
   
 

           
The couplings of the W'^+- are here assumed universal, 
i.e. the same for all generations. One may set vector and axial 
couplings freely, separately for the q qbar' and the 
l nu_l decay channels. The defaults correspond to the 
V - A structure and normalization of the Standard Model 
W^+-, but can be changed to simulate a wide selection 
of models. One limitation is that, for simplicity, the same 
Cabibbo--Kobayashi--Maskawa quark mixing matrix is assumed as for 
the standard W^+-. Depending on your assumed neutrino 
nature you may want to restrict your freedom in the lepton sector, 
but no limitations are enforced by the program. 
 


          Wprime:vq      (default = 1.)
          
vector coupling of quarks. 
   
 


          Wprime:aq      (default = -1.)
          
axial coupling of quarks. 
   
 


          Wprime:vl      (default = 1.)
          
vector coupling of leptons. 
   
 


          Wprime:al      (default = -1.)
          
axial coupling of leptons. 
   
 

           
The coupling to the decay channel W'^+- → W^+- Z^0 is 
more model-dependent, like for Z'^0 → W^+ W^- described 
above. By default it is therefore off, but can be 
switched on as follows. Furthermore, we have left some amount of 
freedom in the choice of decay angular correlations in this 
channel, but obviously alternative shapes could be imagined. 
 


          Wprime:coup2WZ      (default = 0.; minimum = 0.)
          
the coupling W'^0 → W^+- Z^0 is taken to be this number 
times m_W^2 / m_W'^2 times the W^+- → W^+- Z^0 
coupling. Thus a unit value corresponds to the 
W^+- → W^+- Z^0 coupling, scaled down by a factor 
m_W^2 / m_W'^2, and gives a W'^+- partial 
width into this channel that increases linearly with the 
W'^+- mass. If you cancel this behaviour, by letting 
Wprime:coup2WZ be proportional to m_W'^2 / m_W^2, 
you instead obtain a partial width that goes like the fifth power 
of the W'^+- mass. These two extremes correspond to the 
"extended gauge model" and the "reference model", respectively, 
of [Alt89]. 
   
 


          Wprime:anglesWZ      (default = 0.; minimum = 0.; maximum = 1.)
          
in the decay chain W'^+- → W^+- Z^0 →f_1 fbar_2 f_3 fbar_4 
the decay angular distributions is taken to be a mixture of two 
possible shapes. This parameter gives the fraction that is distributed 
as in Higgs H^+- → W^+- Z^0 (longitudinal bosons), 
with the remainder (by default all) is taken to be the same as for 
W^+- → W^+- Z^0 (a mixture of transverse and longitudinal 
bosons). 
   
 

           
A massive W'^+- is also likely to decay into Higgs bosons 
and potentially into other now unknown particles. Such possibilities 
clearly are quite model-dependent, and have not been included 
for now. 
 

          R^0
           
   
The R^0 boson (particle code 41) represents one possible 
scenario for a horizontal gauge boson, i.e. a gauge boson 
that couples between the generations, inducing processes like 
s dbar → R^0 → mu^- e^+. Experimental limits on 
flavour-changing neutral currents forces such a boson to be fairly 
heavy. In spite of being neutral the antiparticle is distinct from 
the particle: one carries a net positive generation number and 
the other a negative one. This particular model has no new 
parameters beyond the R^0 mass. Decays are assumed isotropic. 
For further details see [Ben85]. 
   


          NewGaugeBoson:ffbar2R0  On
Off
   (default = off)
          
Scattering f_1 fbar_2 → R^0 → f_3 fbar_4, where 
f_1 and fbar_2 are separated by +- one 
generation and similarly for f_3 and fbar_4. 
Thus possible final states are e.g. d sbar, u cbar 
s bbar, c tbar, e- mu+ and 
mu- tau+. 
Code 3041. 
   
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/Glossary.php0000644000175000017500000000730612357553536016154 0ustar  sunsun

Glossary






SETTINGS SAVED TO FILE

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?>


          
 

          Glossary
           
 

           
 

          BR
           

          Beam Remnants; not much used since it may be confused with 
Branching Ratio
           
 

          BSM
           

          Beyond-the-Standard-Model physics, as a generic term for anything 
not contained within the SM
           
 

          FSR
           

          Final-State Radiation, implemented in terms of timelike showers
           
 

          LHA
           

          Les Houches Accord for user processes, describing which process-level 
information should be stored to allow further showering and hadronization 
of "skeleton" hard processes
           
 

          LHAPDF
           

          Les Houches Accord Parton Distribution Functions, originally a standard 
format for defining PDF's and later a library with such PDF's
           
 

          LHEF
           

          Les Houches Event File(s), a file format for storing LHA process and 
event information
           
 

          ISR
           

          Initial-State Radiation, implemented in terms of spacelike showers
           
 

          MPI
           

          Multiparton Interactions, i.e. several (more or less) independent 
parton-parton subcollisions as part of a hadron-hadron event (previously 
called MI for multiple interactions)
           
 

          MSSM
           

          Minimal Supersymmetric extension of the Standard Model
           
 

          PDF
           

          Parton Distribution Function (alternatively Parton Density 
Function)
           
 

          PDG code
           

          a scheme for assigning unique integers, particle identity codes, 
to known and hypothetical particles; code rules and tables are published 
in the RPP (see below).
           
 

          pileup
           

          several hadron-hadron collisions in a bunch crossing; not to 
be confused with MPI
           
 

          RPP
           

          Review of Particle Physics, the biannual review by the ParticleData Group 
(PDG) from which many Standard-Model parameter values and much particle data 
has been taken (but, given the poor data on many hadron resonances, a lot of 
extra (guess)work is needed)
           
 

          setting
           

          collectively used to denote all the boolean flag, 
integer mode, double-precision parm 
and string word variables that can be set by the user 
to steer the behaviour of a run; normally particle data are considered 
separately but clearly are closely related
           
 

          SLHA
           

          SUSY Les Houches Accord for interchange of mass and coupling information 
in SUSY scenarios, via a well-defined file format
           
 

          SM
           

          the Standard Model of particle physics
           
 

          SUSY
           

          SUperSYmmetry
           
 

          units
           

          Normal PYTHIA input, internal operations and output is based on a set of 
standard units, such as: 

          GeV for all energies, momenta and masses, always with c = 1; 

          mm for all distances and mm/c for all times, 
so that again they match for c = 1; 

          mb for all cross sections (but input or output via the Les Houches 
Accord takes into account that the unit there is pb) 

           
 

           
 


 
 
pythia8-8.1.86.orig/phpdoc/Tunes.php0000644000175000017500000004450712357553536015453 0ustar  sunsun

Tunes






SETTINGS SAVED TO FILE

          "; }
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          "; }
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?>


 

          Tunes
           
 
Since some physics aspects cannot be derived from first principles, 
this program contains many parameters that represent a true 
uncertainty in our understanding of nature. Particularly afflicted 
are the areas of hadronization and multiparton interactions, which both 
involve nonperturbative QCD physics. 
 

           
Technically, PYTHIA  parameters can be varied independently of each 
other, but the physical requirement of a sensible description of a set 
of data leads to correlations and anticorrelations between the 
parameters. Hence the need to produce tunes, not of one parameter at 
a time, but simultaneously for a group of them. A well-known (separate) 
such example is parton densities, where combined tunes to a wide range 
of data have been produced, that can then be obtained prepackaged. 
 

           
Given the many PYTHIA parameters to be tuned, it is convenient to 
divide the task into subtasks. Firstly, if we assume jet universality, 
hadronization and final-state parton showers should be tuned to 
e^+e^- annihilation data, notably from LEP1, since this 
offers the cleanest environment. Secondly, with such parameters fixed, 
hadron collider data should be studied to pin down multiparton interactions 
and other further aspects, such as initial-state radiation. Ideally this 
would be done separately for diffractive and non-diffractive events, 
although it is not possible to have a clean separation. (Thirdly 
would come anything else, such as physics with photon beams, which 
involve further parameters, but that is beyond the current scope.) 
 

           
The first step in this program has now been taken, with a tune to LEP1 
data by Hendrik Hoeth, using the Rivet + Professor framework. Starting 
with version 8.125 it defines the default values for hadronization 
parameters and timelike showers. 
 

           
The situation is more complicated for hadronic interactions in general 
and multiparton interactions in particular, where PYTHIA 8 is more 
different from PYTHIA 6, and therefore more work is needed. Specifically, 
it is not possible to "port" a PYTHIA 6 tune to PYTHIA 8. 
 

           
A first simple tune, appropriately called "Tune 1", became default 
starting with version 8.127. It was noted, in particular by Hendrik 
Hoeth, that this tune had a tension between parameters needed to 
describe minimum-bias and underlying-event activity. Therefore some 
further physics features were introduced in the code itself 
[Cor10a], which were made default as of 8.140. This version 
also included two new tunes, 2C and 2M, based on the CTEQ 6L1 and the 
MRST LO** PDF sets, respectively. These have been made by hand, as a 
prequel to complete Professor-style tunings. 
 

           
The very first data to come out of the LHC showed a higher rapidity 
plateau than predicted for current PYTHIA 6 tunes, also for the lower 
energies. This may suggest some tension in the data. Two alternatives, 
3C and 3M, were produced by a few brute-force changes of 2C and 2M. 
These were introduced in 8.140, but discontinued in 8.145 in favour of 
the new 4C tune, that is based on a more serious study of some early 
LHC data, see [Cor10a]. Following the comparative studies in 
[Buc11], which independently confirmed a reasonable agreement 
with LHC data, tune 4C was made the default as of 8.150. A variant is 
tune 4Cx, where the Gaussian matter profile has an x-dependent 
width [Cor11]. 
 

           
Several ATLAS tunes have now been included, obtained with different PDFs 
and with different emphasis on minimum-bias and underlying-event data 
[ATL12]. These typically require LHAPDF to be linked, but this 
can be avoided in cases where the same PDF set is implemented internally. 
 

           
Central diffraction is a recent addition to the "soft QCD" process palette, 
and is thus not yet included in tunes; indeed its cross section is actively 
zeroed. You can switch it back on after you have selected your tune, 
with SigmaTotal:zeroAXB = off. But note that, since the 
total cross section is assumed unchanged, the nondiffractive cross section 
is reduced and thus also the MPI machinery affected, even if effects 
should not be big (for a small central diffractive cross section). 
 

           
Note that comparisons with data also require that other aspects agree, 
such as that decay chains are stopped at an agreed-on level. For instance, 
in the ATLAS tunes all particles with a lifetime above 10 mm 
are considered stable, ParticleDecays:limitTau0 = on, 
ParticleDecays:tau0Max = 10. We have chosen not to 
include this as part of the tune settings itself, since the tune as 
such could still be used with any other choice of stable and 
unstable particles. 
 

           
Further comparisons have been posted on the 
MCPLOTS pages. 
They have been produced with help of the 
Rivet package 
[Buc10]. 
 

           
In the future we hope to see further PYTHIA 8 tunes appear. Like with 
parton distributions, there is likely to be several tunes, because 
different sets of data will pull in different directions, by imperfections 
in the model or in the data, and by differences in the chosen 
tuning strategies. We therefore propose to collect some of these tunes 
here, in a prepackaged form. Of course, in all cases it is a matter 
of setting values for parameters already defined elsewhere, so the 
tunes offer no new functionality, only a more convenient setup. 
 

           
You should be aware that the evolution of the program will not guarantee 
complete backwards compatibility between versions. Most obviously this 
concerns bug fixes. But also for some other major changes, like the 
introduction of the new diffractive machinery, the default behaviour 
of old tunes has been changed retroactively. (Which should be fine for 
diffraction, since previous tunes were not based on data strongly 
influenced by diffraction.) 
 

           
The setup of the tunes is special, in that the choice of a tune forces 
the change of several different flags, modes and parameters. Furthermore 
a design principle has been that it should be possible to start out 
from a tune and then change a few of its settings. This gives power 
and flexibility at the expense of requiring a more careful ordering 
of commands. We therefore here sketch the order in which operations 
are carried out. 

             

          1. The constructor of a Pythia instance will read in 
all settings, and initialize them with their default values. 

            2.  

          2. At the end of this operation, the Tune:ee and 
Tune:pp modes (see further below) are checked. If either 
of them are positive the methods Settings::initTuneEE(...) 
and Settings::initTunePP(...), respectively, are called 
to overwrite the whole collection of settings in the relevant tune. 
Zero (or negative) means that nothing will be done. 

            3.  

          3. After the Pythia constructor all the relevant values 
for the default tune(s) have thus been set up. 

            4.  

          4. You as a user can now start to overwrite the values at will, 
using Pythia::readFile(...) to read a configuration file, 
or a list of Pythia::readString(...) commands, 
or the lower-level Settings methods. All changes 
are made in the order in which the commands are encountered during 
the execution. A given variable can be changed multiparton times, 
but it is the latest change that sets the current value. 

            5.  

          5. The two Tune:ee and Tune:pp modes can also 
be changed in exactly the same way as described for all other settings 
above. Unique for them, however, is that when one of them is encountered 
it also initiates a call to the initTuneEE(...) or 
initTunePP(...) method, respectively. In such cases all 
settings affected by the e^+e^- or pp/ppbar tune 
are first reset to the default values (the -1 options) 
and thereafter the relevant tune is set up. 

            6.  

          6. It is possible to mix commands of type 4 and 5 in any order; it 
is always the last change that counts. That is, any changes you have 
made to variables of a tune before a Tune:ee or 
Tune:pp command are overwritten by it, while variables 
you set after will overwrite the tune values. As a rule, 
therefore, you want to begin with the tune choice, and thereafter 
modify only a small part of its settings. 

            7.  

          7. Needless to say, the flexibility can lead to unwanted setups if 
you do not exercise some discipline. It is therefore recommended that 
you always check the listing obtained with 
Pythia::settings.listChanged() to confirm that the 
final set of changes is the intended one. 

            8.  

           
 


          Tune:ee      (default = 0; minimum = -1; maximum = 7)
          
Choice of tune to e^+e^- data, mainly for the hadronization 
and timelike-showering aspects of PYTHIA. You should study the 
Settings::initTuneEE(...) method to find exactly which 
are the settings for the respective tune. 

          
-1 : reset all values that are affected by any of the  e^+e^- tunes to the default values. This option can be used  on its own, but is also automatically used as a first step for either  of the positive tune values below, to undo the effect of previous tune  settings.  
          
0 : no values are overwritten during the initial setup,  step 2 above. Note that changing to 0 in the user code  has no effect; if you want to restore the individual settings you  should instead use -1.  
          
1 : the original PYTHIA 8 parameter set, based on some  very old flavour studies (with JETSET around 1990) and a simple tune  of alpha_strong to three-jet shapes to the new  pT-ordered shower. These were the default values before  version 8.125.  
          
2 : a tune by Marc Montull to the LEP 1 particle  composition, as published in the RPP (August 2007). No related (re)tune  to event shapes has been performed, however.  
          
3 : a tune to a wide selection of LEP1 data by Hendrik  Hoeth within the Rivet + Professor framework, both to hadronization and  timelike-shower parameters (June 2009). These are the default values  starting from version 8.125, so currently there is no need for this  option.  
          
4 : a tune to LEP data by Peter Skands, by hand, both  to hadronization and timelike-shower parameters (September 2013).  Note the use of the CMW convention for the shower alpha_s  scale.  
          
5 : first tune to LEP data by Nadine Fischer  (September 2013), based on the default flavour-composition  parameters. Input is event shapes (ALEPH and DELPHI),  identified particle spectra (ALEPH), multiplicities (PDG),  and B hadron fragmentation functions (ALEPH).  
          
6 : second tune to LEP data by Nadine Fischer  (September 2013). Similar to the first one, but event shapes  are weighted up significantly, and multiplicites not included.  
          
7 : the Monash 2013 tune by Peter Skands Ska14, to both e^+e^- and pp/pbarp data. Should be combined with Tune:pp = 14. 
          
 


          Tune:preferLHAPDF  On
Off
   (default = on)
          
Tunes made by experimental collaborations typically use the LHAPDF 
package to obtain their PDF values, and so PYTHIA has to be linked 
accordingly. For PDFs implemented natively in PYTHIA it is possible 
to use the respective tunes, without having to link to LHAPDF, if you 
set Tune:preferLHAPDF = off before the 
Tune:pp choice. 
   
 


          Tune:pp      (default = 5; minimum = -1; maximum = 14)
          
Choice of tune to pp/ppbar data, mainly for the 
initial-state-radiation, multiparton-interactions and  beam-remnants 
aspects of PYTHIA. Note that the previous crude (non-)tunes 
3C and 3M are removed as of 8.145, superseded by the 4C tune. 
You should study the Settings::initTunePP(...) method 
to find exactly which are the settings for the respective tune. 

          
-1 : reset all values that are affected by any of the  pp/ppbar tunes to the default values. This option can be used  on its own, but is also automatically used as a first step for either  of the positive tune values below, to undo the effect of previous tune  settings.  
          
0 : no values are overwritten during the initial setup,  step 2 above. Note that changing to 0 in the user code  has no effect; if you want to restore the individual settings you  should instead use -1.  
          
1 : default used up to version 8.126, based on  some early and primitive comparisons with data.  
          
2 : "Tune 1", default in 8.127 - 8.139, based on some  data comparisons by Peter Skands. Largely but not wholly overlaps  with the default option 0.  
          
3 : "Tune 2C", introduced with 8.140 Cor10a.  It uses the CTEQ 6L1 PDF, and is intended to give good agreement with  much of the published CDF data.  
          
4 : "Tune 2M", introduced with 8.140 Cor10a.  It is uses the MRST LO** PDF, which has a momentum sum somewhat above  unity, which is compensated by a smaller alpha_s than in the  previous tune. Again it is intended to give good agreement with much of  the published CDF data.  
          
5 : "Tune 4C", new tune, introduced with 8.145  Cor10a. Starts out from tune 2C, but with a reduced cross  section for diffraction, plus modified multiparton interactions parameters  to give a higher and more rapidly increasing charged pseudorapidity  plateau, for better agreement with some early key LHC numbers.  See also the comparative study in Buc11.  
          
6 : "Tune 4Cx", based on tune 4C, but using the x-dependent  matter profile, MultipartonInteractions:bProfile = 4 and an  increased MultipartonInteractions:pT0Ref Cor11.  
          
7 : "ATLAS MB Tune A2-CTEQ6L1", a minimum-bias tune based  on tune 4Cx, but without rapidity-ordered spacelike emissions  ATL12. Uses CTEQ 6L1, by default  from LHAPDF.  
          
8 : "ATLAS MB Tune A2-MSTW2008LO", as above,  but uses MSTW 2008 LO, by default from LHAPDF.  
          
9 : "ATLAS UE Tune AU2-CTEQ6L1", an underlying-event tune  based on tune 4Cx, but without rapidity-ordered spacelike emissions  ATL12. Uses CTEQ 6L1, by default from LHAPDF.  
          
10 : "ATLAS UE Tune AU2-MSTW2008LO", as above,  but uses MSTW 2008 LO, by default from LHAPDF.  
          
11 : "ATLAS UE Tune AU2-CT10", as above,  but uses CT 10, which is not currently implemented in PYTHIA,  so you must link LHAPDF.  
          
12 : "ATLAS UE Tune AU2-MRST2007LO*", as above,  but uses MRST 2007 LO*, by default from LHAPDF.  
          
13 : "ATLAS UE Tune AU2-MRST2007LO**", as above,  but uses MRST 2007 LO**, by default from LHAPDF.  
          
14 : the Monash 2013 tune by Peter Skands Ska14, to both e^+e^- and pp/pbarp data. Should be combined with Tune:ee = 7. 
          
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/EventInformation.php0000644000175000017500000010142112357553536017631 0ustar  sunsun

Event Information






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Event Information
           
 
The Info class collects various one-of-a-kind information, 
some relevant for all events and others for the current event. 
An object info is a public member of the Pythia 
class, so if you e.g. have declared Pythia pythia, the 
Info methods can be accessed by 
pythia.info.method(). Most of this is information that 
could also be obtained e.g. from the event record, but is here more 
directly available. It is primarily intended for processes generated 
internally in PYTHIA, but many of the methods would work also for 
events fed in via the Les Houches Accord. 
 

          List information
           
 


          void Info::list()   
          
a listing of most of the information set for the current event. 
   
 

          The beams
           
 


          int Info::idA()   
          
   
int Info::idB()   
          
the identities of the two beam particles. 
   
 


          double Info::pzA()   
          
   
double Info::pzB()   
          
the longitudinal momenta of the two beam particles. 
   
 


          double Info::eA()   
          
   
double Info::eB()   
          
the energies of the two beam particles. 
   
 


          double Info::mA()   
          
   
double Info::mB()   
          
the masses of the two beam particles. 
   
 


          double Info::eCM()   
          
   
double Info::s()   
          
the CM energy and its square for the two beams. 
   
 

          Initialization
           
 


          bool Info::tooLowPTmin()   
          
normally false, but true if the proposed pTmin scale was too low 
in timelike or spacelike showers, or in multiparton interactions. In the 
former case the pTmin is raised to some minimal value, in the 
latter the initialization fails (it is impossible to obtain a minijet 
cross section bigger than the nondiffractive one by reducing 
pTmin). 
   
 

          The event type
           
 


          string Info::name()   
          
   
int Info::code()   
          
the name and code of the process that occurred. 
   
 


          int Info::nFinal()   
          
the number of final-state partons in the hard process. 
   
 


          bool Info::isResolved()   
          
are beam particles resolved, i.e. were PDF's used for the process? 
   
 


          bool Info::isDiffractiveA()   
          
   
bool Info::isDiffractiveB()   
          
is either beam diffractively excited? 
   
 


          bool Info::isDiffractiveC()   
          
is there central diffraction (a.k.a. double Pomeron exchange)? 
   
 


          bool Info::isNonDiffractive()   
          
is the process the SoftQCD:nonDiffractive one, 
i.e. corresponding to the full inelastic nondiffractive part of the 
total cross section. (Note that a hard process, say Z^0 
production, normally is nondiffractive, but this is not what we 
aim at here, and so the method would return false, 
unless the Z^0 had been generated as part of the MPI 
machinery for the SoftQCD:nonDiffractive component.) 
   
 


          bool Info::isMinBias()   
          
the same as above, retained for backwards compatibility, but to 
be removed in PYTHIA 8.2. 
   
 


          bool Info::isLHA()   
          
has the process been generated from external Les Houches Accord 
information? 
   
 


          bool Info::atEndOfFile()   
          
true if a linked Les Houches class refuses to return any further 
events, presumably because it has reached the end of the file from 
which events have been read in. 
   
 


          bool Info::hasSub()   
          
does the process have a subprocess classification? 
Currently only true for nondiffractive and Les Houches events, where 
it allows the hardest collision to be identified. 
   
 


          string Info::nameSub()   
          
   
int Info::codeSub()   
          
   
int Info::nFinalSub()   
          
the name, code and number of final-state partons in the subprocess 
that occurred when hasSub() is true. For a minimum-bias event 
the code would always be 101, while codeSub() 
would vary depending on the actual hardest interaction, e.g. 111 for 
g g → g g. For a Les Houches event the code would 
always be 9999, while codeSub() would be the external 
user-defined classification code. The methods below would also provide 
information for such particular subcollisions. 
   
 

          Hard process initiators
           
 
The methods in this sections refer to the two initial partons of the 
hard 2 → n process (diffraction excluded; see below). 
 


          int Info::id1()   
          
   
int Info::id2()   
          
the identities of the two partons coming in to the hard process. 
   
 


          double Info::x1()   
          
   
double Info::x2()   
          
x fractions of the two partons coming in to the hard process. 
   
 


          double Info::y()   
          
   
double Info::tau()   
          
rapidity and scaled mass-squared of the hard-process subsystem, as 
defined by the above x values. 
   
 


          bool Info::isValence1()   
          
   
bool Info::isValence2()   
          
true if the two hard incoming partons have been picked 
to belong to the valence piece of the parton-density distribution, 
else false. Should be interpreted with caution. 
Information is not set if you switch off parton-level processing. 
   
 

          Hard process parton densities and scales
           
 
The methods in this section refer to the partons for which parton 
densities have been defined, in order to calculate the cross section 
of the hard process (diffraction excluded; see below). 
 

           
These partons would normally agree with the 
ones above, the initiators of the 2 → n process, but it 
does not have to be so. Currently the one counterexample is POWHEG 
events [Ali10]. Here the original hard process could be 
2 → (n-1). The NLO machinery at times would add an 
initial-state branching to give a 2 → n process with a 
changed initial state. In that case the values in this section 
refer to the original 2 → (n-1) state and the initiator 
ones above to the complete2 → n process. The 
Info::list() printout will contain a warning in such cases. 
 

           
For external events in the Les Houches format, the pdf information 
is obtained from the optional #pdf line. When this 
information is absent, the parton identities and x values agree 
with the initiator ones above, while the pdf values are unknown and 
therefore set to vanish. The alpha_s and alpha_em 
values are part of the compulsory information. The factorization and 
renormalization scales are both equated with the one compulsory scale 
value in the Les Houches standard, except when a #pdf 
line provides the factorization scale separately. If alpha_s, 
alpha_em or the compulsory scale value are negative at input 
then new values are defined as for internal processes. 
 


          int Info::id1pdf()   
          
   
int Info::id2pdf()   
          
the identities of the two partons for which parton density values 
are defined. 
   
 


          double Info::x1pdf()   
          
   
double Info::x2pdf()   
          
x fractions of the two partons for which parton density values 
are defined. 
   
 


          double Info::pdf1()   
          
   
double Info::pdf2()   
          
parton densities x*f(x,Q^2) evaluated for the two incoming 
partons; could be used e.g. for reweighting purposes in conjunction 
with the idpdf, xpdf and QFac 
methods. Events obtained from external programs or files may not 
contain this information and, if so, 0 is returned. 
   
 


          double Info::QFac()   
          
   
double Info::Q2Fac()   
          
the Q or Q^2 factorization scale at which the 
densities were evaluated. 
   
 


          double Info::alphaS()   
          
   
double Info::alphaEM()   
          
the alpha_strong and alpha_electromagnetic values used 
for the hard process. 
   
 


          double Info::QRen()   
          
   
double Info::Q2Ren()   
          
the Q or Q^2 renormalization scale at which 
alpha_strong and alpha_electromagnetic were evaluated. 
   
 


          double Info::scalup()   
          
returns the stored SCALUP value for Les Houches events, 
and else zero. It may agree with both the QFac() and 
QRen() values, as explained above. However, to repeat, 
should the input SCALUP scale be negative, separate positive 
factorization and renormalization scales are calculated and set as for 
internally generated events. Furthermore, when PDF info is supplied for 
the Les Houches event, the factorization scale is set by this PDF info 
(scalePDF), which can disagree with SCALUP. 
   
 

          Hard process kinematics
           
 
The methods in this section provide info on the kinematics of the hard 
processes, with special emphasis on 2 → 2 (diffraction excluded; 
see below). 
 


          double Info::mHat()   
          
   
double Info::sHat()   
          
the invariant mass and its square for the hard process. 
   
 


          double Info::tHat()   
          
   
double Info::uHat()   
          
the remaining two Mandelstam variables; only defined for 2 → 2 
processes. 
   
 


          double Info::pTHat()   
          
   
double Info::pT2Hat()   
          
transverse momentum and its square in the rest frame of a 2 → 2 
processes. 
   
 


          double Info::m3Hat()   
          
   
double Info::m4Hat()   
          
the masses of the two outgoing particles in a 2 → 2 processes. 
   
 


          double Info::thetaHat()   
          
   
double Info::phiHat()   
          
the polar and azimuthal scattering angles in the rest frame of 
a 2 → 2 process. 
   
 

          Diffraction
           
 
Information on the primary elastic or 
";?>diffractive process 
(A B → A B, X1 B, A X2, X1 X2, A X B) can be obtained with 
the methods in the "Hard process kinematics" section above. The 
variables here obviously are s, t, u, ... rather than 
sHat, tHat, uHat, ..., but the method names remain to avoid 
unnecessary duplication. Most other methods are irrelevant for a 
primary elastic/diffractive process. 
 

          Central diffraction A B → A X B is a 2 → 3 
process, and therefore most of the 2 → 2 variables are 
no longer relevant. The tHat() and uHat() 
methods instead return the two t values at the A → A 
and B → B vertices, and pTHat() the average 
transverse momentum of the three outgoing "particles", while 
thetaHat() and phiHat() are undefined. 
 

           
While the primary interaction does not contain a hard process, 
the diffractive subsystems can contain them, but need not. 
Specifically, double diffraction can contain two separate hard 
subprocesses, which breaks the methods above. Most of them have been 
expanded with an optional argument to address properties of diffractive 
subsystems. This argument can take four values: 

             

          • 0 : default argument, used for normal nondiffractive events or 
the primary elastic/diffractive process (see above); 

          • 1 : the X1 system in single diffraction 
A B → X1 B or double diffraction A B → X1 X2; 

          • 2 : the X2 system in single diffraction 
A B → A X2 or double diffraction A B → X1 X2; 

          • 3 : the X system in central diffraction 
A B → A X B. 

           
The argument is defined for all of the methods in the three sections above, 
"Hard process initiators", "Hard process parton densities and scales" and 
"Hard process kinematics", with the exception of the isValence 
methods. Also the four final methods of "The event type" section, the 
...Sub() methods, take this argument. But recall that they 
will only provide meaningful answers, firstly if there is a system of the 
requested type, and secondly if there is a hard subprocess in this system. 
A simple check for this is that id1() has to be nonvanishing. 
The methods below this section do not currently provide information 
specific to diffractive subsystems, e.g. the MPI information is not 
bookkept in such cases. 
 

          Event weight and activity
           
 


          double Info::weight()   
          
weight assigned to the current event. Is normally 1 and thus 
uninteresting. However, there are several cases where one may have 
nontrivial event weights. These weights must the be used e.g. when 
filling histograms. 

          (i) In the ";?> 
PhaseSpace:increaseMaximum = off default strategy, 
an event with a differential cross-section above the assumed one 
(in a given phase-space point) is assigned a weight correspondingly 
above unity. This should happen only very rarely, if at all, and so 
could normally be disregarded. 

          (ii) The ";?>User Hooks class offers 
the possibility to bias the selection of phase space points, which 
means that events come with a compensating weight, stored here. 

          (iii) For Les Houches events some strategies allow negative weights, 
which then after unweighting lead to events with weight -1. There are 
also Les Houches strategies where no unweighting is done, so events 
come with a weight. Specifically, for strategies +4 and 
-4, the event weight is in units of pb. (Internally in mb, 
but converted at output.) 
   
 


          double Info::weightSum()   
          
Sum of weights accumulated during the run. For unweighted events this 
agrees with the number of generated events. In order to obtain 
histograms normalized "per event", at the end of a run, histogram 
contents should be divided by this weight. (And additionally 
divided by the bin width.) Normalization to cross section also 
required multiplication by sigmaGen() below. 
   
 


          int Info::lhaStrategy()   
          
normally 0, but if Les Houches events are input then it gives the 
event weighting strategy, see 
";?>Les Houches Accord. 
   
 


          int Info::nISR()   
          
   
int Info::nFSRinProc()   
          
   
int Info::nFSRinRes()   
          
the number of emissions in the initial-state showering, in the final-state 
showering excluding resonance decays, and in the final-state showering 
inside resonance decays, respectively. 
   
 


          double Info::pTmaxMPI()   
          
   
double Info::pTmaxISR()   
          
   
double Info::pTmaxFSR()   
          
Maximum pT scales set for MPI, ISR and FSR, given the 
process type and scale choice for the hard interactions. The actual 
evolution will run down from these scales. 
   
 


          double Info::pTnow()   
          
The current pT scale in the combined MPI, ISR and FSR evolution. 
Useful for classification in ";?>user hooks, 
but not once the event has been evolved. 
   
 


          double Info::mergingWeight()   
          
combined leading-order merging weight assigned to the current event, if 
tree-level multi-jet merging (i.e. 
 CKKW-L or 
 UMEPS merging) is attempted. 
If tree-level multi-jet merging is performed, all histograms should be 
filled with this weight, as discussed in 
  CKKW-L Merging and 
  UMEPS Merging. 
   
 


          double Info::mergingWeightNLO()   
          
combined NLO merging weight assigned to the current event, if 
NLO multi-jet merging (i.e. 
 NL3 or 
 UNLOPS merging) is attempted. 
If NLO multi-jet merging is performed, all histograms should be filled 
with this weight, as discussed in 
  NLO Merging. 
   
 

          Multiparton interactions
           
 
As already noted, these methods do not make sense for diffractive 
topologies, and should not be used there. Partly this is physics, 
but mainly it is for technical reasons, e.g. that double diffraction 
involves two separate systems that would have to be bookkept as such. 
 


          double Info::a0MPI()   
          
The value of a0 when an x-dependent matter profile is used, 
MultipartonInteractions:bProfile = 4. 
   
 


          double Info::bMPI()   
          
The impact parameter b assumed for the current collision when 
multiparton interactions are simulated. Is not expressed in any physical 
size (like fm), but only rescaled so that the average should be unity 
for minimum-bias events (meaning less than that for events with hard 
processes). 
   
 


          double Info::enhanceMPI()   
          
The choice of impact parameter implies an enhancement or depletion of 
the rate of subsequent interactions, as given by this number. Again 
the average is normalized be unity for minimum-bias events (meaning 
more than that for events with hard processes). 
   
 


          int Info::nMPI()   
          
The number of hard interactions in the current event. Is 0 for elastic 
and diffractive events, and else at least 1, with more possible from 
multiparton interactions. 
   
 


          int Info::codeMPI(int i)   
          
   
double Info::pTMPI(int i)   
          
the process code and transverse momentum of the i'th 
subprocess, with i in the range from 0 to 
nMPI() - 1. The values for subprocess 0 is redundant with 
information already provided above. 
   
 


          int Info::iAMPI(int i)   
          
   
int Info::iBMPI(int i)   
          
are normally zero. However, if the i'th subprocess is 
a rescattering, i.e. either or both incoming partons come from the 
outgoing state of previous scatterings, they give the position in the 
event record of the outgoing-state parton that rescatters. 
iAMPI and iBMPI then denote partons coming from 
the first or second beam, respectively. 
   
 


          double Info::eMPI(int i)   
          
The enhancement or depletion of the rate of the i'th 
subprocess. Is primarily of interest for the 
MultipartonInteractions:bProfile = 4 option, where the 
size of the proton depends on the x values of the colliding 
partons. Note that eMPI(0) = enhanceMPI(). 
   
 

          Cross sections
           
 
Here are the currently available methods related to the event sample 
as a whole, for the default value i = 0, and otherwise for 
the specific process code provided as argument. This is the number 
obtained with Info::code(), while the further subdivision 
given by Info::codeSub() is not bookkept. While continuously 
updated during the run, it is recommended only to study these properties 
at the end of the event generation, when the full statistics is available. 
The individual process results are not available if 
";?>a second hard process has been 
chosen, but can be gleaned from the pythia.stat() output. 
 


          vector<int> Info::codesHard()   
          
returns a vector with all the process codes set up for the current run, 
i.e. the valid nonzero arguments for the five methods below. 
   



          string Info::nameProc(int i = 0)   
          
returns the process name for process code i.
   
 


          long Info::nTried(int i = 0)   
          
   
long Info::nSelected(int i = 0)   
          
   
long Info::nAccepted(int i = 0)   
          
the total number of tried phase-space points, selected hard processes 
and finally accepted events, summed over all allowed processes 
(i = 0) or for the given process. 
The first number is only intended for a study of the phase-space selection 
efficiency. The last two numbers usually only disagree if the user introduces 
some veto during the event-generation process; then the former is the number 
of acceptable events found by PYTHIA and the latter the number that also 
were approved by the user. If you set ";?>a 
second hard process there may also be a mismatch. 
   
 


          double Info::sigmaGen(int i = 0)   
          
   
double Info::sigmaErr(int i = 0)   
          
the estimated cross section and its estimated error, 
summed over all allowed processes (i = 0) or for the given 
process, in units of mb. The numbers refer to the accepted event sample 
above, i.e. after any user veto. 
   
 

          Loop counters
           
 
Mainly for internal/debug purposes, a number of loop counters from 
various parts of the program are stored in the Info class, 
so that one can keep track of how the event generation is progressing. 
This may be especially useful in the context of the 
";?>User Hooks facility. 
 


          int Info::getCounter(int i)   
          
the method that gives you access to the value of the various loop 
counters. 

          argument i   :  the counter number you want to access: 

          argumentoption  0 - 9 :  counters that refer to the run as a whole, 
i.e. are set 0 at the beginning of the run and then only can increase. 
   

          argumentoption  0 :  the number of successful constructor calls for the 
Pythia class (can only be 0 or 1). 
   

          argumentoption  1 :  the number of times a Pythia::init(...) 
call has been begun. 
   

          argumentoption  2 :  the number of times a Pythia::init(...) 
call has been completed successfully. 
   

          argumentoption  3 :  the number of times a Pythia::next() 
call has been begun. 
   

          argumentoption  4 :  the number of times a Pythia::next() 
call has been completed successfully. 
   

          argumentoption  10 - 19 :  counters that refer to each individual event, 
and are reset and updated in the top-level Pythia::next() 
method. 
   

          argumentoption  10 :  the number of times the selection of a new hard 
process has been begun. Normally this should only happen once, unless a 
user veto is set to abort the current process and try a new one. 
   

          argumentoption  11 :  the number of times the selection of a new hard 
process has been completed successfully. 
   

          argumentoption  12 :  as 11, but additionally the process should 
survive any user veto and go on to the parton- and hadron-level stages. 
   

          argumentoption  13 :  as 11, but additionally the process should 
survive the parton- and hadron-level stage and any user cuts. 
   

          argumentoption  14 :  the number of times the loop over parton- and 
hadron-level processing has begun for a hard process. Is reset each 
time counter 12 above is reached. 
   

          argumentoption  15 :  the number of times the above loop has successfully 
completed the parton-level step. 
   

          argumentoption  16 :  the number of times the above loop has successfully 
completed the checks and user vetoes after the parton-level step. 
   

          argumentoption  17 :  the number of times the above loop has successfully 
completed the hadron-level step. 
   

          argumentoption  18 :  the number of times the above loop has successfully 
completed the checks and user vetoes after the hadron-level step. 
   

          argumentoption  20 - 39 :  counters that refer to a local part of the 
individual event, and are reset at the beginning of this part. 
   

          argumentoption  20 :  the current system being processed in 
PartonLevel::next(). Is almost always 1, but for double 
diffraction the two diffractive systems are 1 and 2, respectively. 
   

          argumentoption  21 :  the number of times the processing of the 
current system (see above) has begun. 
   

          argumentoption  22 :  the number of times a step has begun in the 
combined MPI/ISR/FSR evolution downwards in pT 
for the current system. 
   

          argumentoption  23 :  the number of times MPI has been selected for the 
downwards step above. 
   

          argumentoption  24 :  the number of times ISR has been selected for the 
downwards step above. 
   

          argumentoption  25 :  the number of times FSR has been selected for the 
downwards step above. 
   

          argumentoption  26 :   the number of times MPI has been accepted as the 
downwards step above, after the vetoes. 
   

          argumentoption  27 :   the number of times ISR has been accepted as the 
downwards step above, after the vetoes. 
   

          argumentoption  28 :   the number of times FSR has been accepted as the 
downwards step above, after the vetoes. 
   

          argumentoption  29 :  the number of times a step has begun in the 
separate (optional) FSR evolution downwards in pT 
for the current system. 
   

          argumentoption  30 :  the number of times FSR has been selected for the 
downwards step above. 
   

          argumentoption  31 :   the number of times FSR has been accepted as the 
downwards step above, after the vetoes. 
   

          argumentoption  40 - 49 :  counters that are unused (currently), and 
that therefore are free to use, with the help of the two methods below. 
   
   
   
 


          void Info::setCounter(int i, int value = 0)   
          
set the above counters to a given value. Only to be used by you 
for the unassigned counters 40 - 49. 

          argument i   :  the counter number, see above. 
   

          argument value  (default = 0) :  set the counter to this number; 
normally the default value is what you want. 
   
   
 


          void Info::addCounter(int i, int value = 0)   
          
increase the above counters by a given amount. Only to be used by you 
for the unassigned counters 40 - 49. 

          argument i   :  the counter number, see above. 
   

          argument value  (default = 1) :  increase the counter by this amount; 
normally the default value is what you want. 
   
   
 

          Parton shower history
           
 
The following methods are mainly intended for internal use, 
e.g. for matrix-element matching. 
 


          void Info::hasHistory(bool hasHistoryIn)   
          
   
bool Info::hasHistory()   
          
set/get knowledge whether the likely shower history of an event 
has been traced. 
   
 


          void Info::zNowISR(bool zNowIn)   
          
   
double Info::zNowISR()   
          
set/get value of z in latest ISR branching. 
   
 


          void Info::pT2NowISR(bool pT2NowIn)   
          
   
double Info::pT2NowISR()   
          
set/get value of pT^2 in latest ISR branching. 
   
 

          Header information
           
 
A simple string key/value store, mainly intended for accessing 
information that is stored in the header block of Les Houches Event 
(LHE) files. In principle, any LHAup derived class can set 
this header information, which can then be read out later. Although the 
naming convention is arbitrary, in practice, it is dictated by the 
XML-like format of LHE files, see ";?> 
Les Houches Accord for more details. 
 


          string Info::header(string key)   
          
return the header named key 
   
 


          vector <string> Info::headerKeys()   
          
return a vector of all header key names 
   
 


          void Info::setHeader(string key, string val)   
          
set the header named key with the contents of val 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/MatchingAndMerging.php0000644000175000017500000002174012357553536020035 0ustar  sunsun

Matching and Merging






SETTINGS SAVED TO FILE

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          Matching and Merging
           
 
Starting from a Born-level leading-order (LO) process, higher orders 
can be included in various ways. The three basic approaches would be 

             

          • A formal order-by-order perturbative calculation, in each order 
higher including graphs both with one particle more in the final 
state and with one loop more in the intermediate state. This is 
accurate to the order of the calculation, but gives no hint of 
event structures beyond that, with more particles in the final state. 
Today next-to-leading order (NLO) is standard, while 
next-to-next-to-leading order (NNLO) is coming. This approach 
thus is limited to few orders, and also breaks down in soft and 
collinear regions, which makes it unsuitable for matching to 
hadronization. 

            •  

          • Real emissions to several higher orders, but neglecting the 
virtual/loop corrections that should go with it at any given order. 
Thereby it is possible to allow for topologies with a large and 
varying number of partons, at the prize of not being accurate to any 
particular order. The approach also opens up for doublecounting, 
and as above breaks down in soft and colliner regions. 

            •  

          • The parton shower provides an approximation to higher orders, 
both real and virtual contributions for the emission of arbitrarily 
many particles. As such it is less accurate than either of the two 
above, at least for topologies of well separated partons, but it 
contains a physically sensible behaviour in the soft and collinear 
limits, and therefore matches well onto the hadronization stage. 

            •  

           
Given the pros and cons, much of the effort in recent years has 
involved the development of different prescriptions to combine 
the methods above in various ways. 
 

           
The common traits of all combination methods are that matrix elements 
are used to describe the production of hard and well separated 
particles, and parton showers for the production of soft or collinear 
particles. What differs between the various approaches that have been 
proposed are which matrix elements are being used, how doublecounting 
is avoided, and how the transition from the hard to the soft regime 
is handled. These combination methods are typically referred to as 
"matching" or "merging" algorithms. There is some confusion about 
the distinction between the two terms, and so we leave it to the 
inventor/implementor of a particular scheme to choose and motivate 
the name given to that scheme. 
 

           
PYTHIA comes with methods, to be described next, that implement 
or support several different kind of algorithms. The field is 
open-ended, however: any external program can feed in 
";?>Les Houches events that 
PYTHIA subsequently showers, adds multiparton interactions to, 
and hadronizes. These events afterwards can be reweighted and 
combined in any desired way. The maximum pT of the shower 
evolution is set by the Les Houches scale, on the one 
hand, and by the values of the SpaceShower:pTmaxMatch, 
TimeShower:pTmaxMatch and other parton-shower settings, 
on the other. Typically it is not possible to achieve perfect 
matching this way, given that the PYTHIA pT evolution 
variables are not likely to agree with the variables used for cuts 
in the external program. Often one can get close enough with simple 
means but, for an improved matching, 
";?>User Hooks can be inserted to control 
the steps taken on the way, e.g. to veto those parton shower branchings 
that would doublecount emissions included in the matrix elements. 
 

           
Zooming in from the "anything goes" perspective, the list of relevent 
approaches actively supported is as follows. 

             
 

          • For many/most resonance decays the first branching in the shower is 
merged with first-order matrix elements [Ben87, Nor01]. This 
means that the emission rate is accurate to NLO, similarly to the POWHEG 
strategy (see below), but built into the 
";?>timelike showers. 
The angular orientation of the event after the first emission is only 
handled by the parton shower kinematics, however. Needless to say, 
this formalism is precisely what is tested by Z^0 decays at 
LEP1, and it is known to do a pretty good job there. 

            •  
 

          • Also the ";?>spacelike showers 
contain a correction to first-order matrix elements, but only for the 
one-body-final-state processes 
q qbar → gamma^*/Z^0/W^+-/h^0/H^0/A0/Z'0/W'+-/R0 
[Miu99] and g g → h^0/H^0/A0, and only to 
leading order. That is, it is equivalent to the POWHEG formalism for 
the real emission, but the prefactor "cross section normalization" 
is LO rather than NLO. Therefore this framework is less relevant, 
and has been superseded the following ones. 

            •  
 

          • The POWHEG strategy [Nas04] provides a cross section 
accurate to NLO. The hardest emission is constructed with unit 
probability, based on the ratio of the real-emission matrix element 
to the Born-level cross section, and with a Sudakov factor derived 
from this ratio, i.e. the philosophy introduced in [Ben87]. 

            While POWHEG is a generic strategy, the POWHEG BOX 
[Ali10] is an explicit framework, within which several 
processes are available. The code required for merging the PYTHIA 
showers with POWHEG input can be found in examples/main31,
and is further described on a 
";?>separate page. 

            •  
 

          • The other traditional approach for NLO calculations is the 
MC@NLO one [Fri02]. In it the shower emission probability, 
without its Sudakov factor, is subtracted from the real-emission 
matrix element to regularize divergences. It therefore requires a 
analytic knowledge of the way the shower populates phase space. 
Currently there is no MC@NLO implementation for PYTHIA 8, but one is 
in preparation by Paolo Torrielli and Stefano Frixione, for the 
aMC@NLO program [Fre11]. The global-recoil option of the 
PYTHIA final-state shower has been constructed in anticipation of 
its use for the above-mentioned subtraction. 

            •  
 

          • Multi-jet merging in the CKKW-L approach [Lon01] 
is directly available. Its implementation, relevant parameters 
and test programs are documented on a 
";?>separate page. 

            •  
 

          • Multi-jet matching in the MLM approach [Man02, Man07] 
is also available, either based on the ALPGEN or on the Madgraph 
variant, and with input events either from ALPGEN or from 
Madgraph. For details see 
";?>separate page. 

            •  
 

          • Unitarised matrix element + parton shower merging (UMEPS) 
is directly available. Its implementation, relevant parameters 
and test programs are documented on a 
";?>separate page. 

            •  
 

          • Next-to-leading order multi-jet merging (in the NL3 and UNLOPS approaches) 
is directly available. Its implementation, relevant parameters 
and test programs are documented on a 
";?>separate page. 

            •  
 

           
 
 


 
 
pythia8-8.1.86.orig/phpdoc/ProcessSelection.php0000644000175000017500000001675312357553536017643 0ustar  sunsun

Process Selection






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          Process Selection
           
 
There is no way PYTHIA could contain all processes of interest, 
neither in terms of potential physics topics nor in terms of 
high-multiplicity final states. What exists is a reasonably 
complete setup of all 2 → 1 and 2 → 2 
processes within the Standard Model, plus some examples of 
processes beyond that, again for low multiplicities. Combined with 
the PYTHIA parton showers, this should be enough to get a flying 
start in the study of many physics scenarios. 
Other processes could be fed in via the 
";?>Les Houches Accord 
or be implemented as a 
";?>Semi-Internal Process. 
In the latter case the existing processes would act as obvious 
templates. 
 

           
By default all processes are switched off. You should switch on 
those you want to simulate. This may be done at two (occasionally 
three) levels, either for each individual process or for a group of 
processes. That is, a process is going to be generated either if its 
own flag or its group flag is on. There is no built-in construction 
to switch on a group and then switch off a few of its members. 
 

           
Each process is assigned an integer code. This code is not used in 
the internal administration of events (so having the same code for 
two completely different processes would not be a problem), but only 
intended to allow a simpler user separation of different processes. 
Also the process name is available, as a string. 
 

           
To ease navigation, the list of processes has been split into several 
separate pages, by main topic. The classification is hopefully 
intuitive, but by no means unambiguous. For instance, essentially 
all processes involve QCD, so the "QCD processes" are the ones that 
only involve QCD. (And also that is not completely true, once one 
includes all that may happen in multiparton interactions.) On these 
separate pages also appear the settings that are completely local 
to that particular process class, but not the ones that have a 
broader usage. 
 

          ";?>QCD Processes
           
 
QCD processes fall in two main categories: soft and hard. The soft ones 
contain elastic, diffractive and "minimum-bias" events, together 
covering the total cross section. Hard processes are the normal 
2 → 2 ones, including charm and bottom production. 

          Reserved code range: 101 - 199. 
 

          ";?>Electroweak Processes
           
 
Prompt-photon, gamma^*/Z^0 and W^+- production, 
plus a few processes with t-channel boson exchange. 

          Reserved code range: 201 - 299. 
 

          ";?>Onia Processes
           
 
Colour singlet and octet production of charmonium and bottomonium. 

          Reserved code range: 401 - 499 for charmonium and 
501 - 599 for bottomonium. 
 

          ";?>Top Processes
           
 
Top production, singly or doubly. 

          Reserved code range: 601 - 699. 
 

          ";?>Fourth-Generation 
Processes
           
 
Production of hypothetical fourth-generation fermions. 

          Reserved code range: 801 - 899. 
 

          ";?>Higgs Processes
           
 
Higgs production, within or beyond the Standard Model. 
See section on Left-Right-Symmetry processes for doubly charged Higgs bosons. 

          Reserved code range: 901 - 999 for a Standard Model Higgs 
and 1001 - 1199 for MSSM Higgs bosons. 
 

          ";?>SUSY Processes
           
 
Production of supersymmetric particles, currently barely begun. 

          Reserved code range: 1001 - 2999. (Whereof 1001 - 1199 
for Higgs bosons; see above.) 
 

          ";?>New-Gauge-Boson 
Processes
           
 
Production of new gauge bosons such as Z' and W'. 

          Reserved code range: 3001 - 3099. 
 

          ";?>Left-Right-Symmetry 
Processes
           
 
Production of righthanded Z_R and W_R bosons and of 
doubly charged Higgs bosons. 

          Reserved code range: 3101 - 3199. 
 

          ";?>Leptoquark Processes
           
 
Production of a simple scalar leptoquark state. 

          Reserved code range: 3201 - 3299. 
 

          ";?>Compositeness Processes
           
 
Production of excited fermion states and contact-interaction modification 
to interactions between fermions (excluding technicolor; see below). 

          Reserved code range: 4001 - 4099. 
 

          Technicolor Processes
           
 
Production of technicolor particles and modifications of QCD processes 
by technicolor interactions. Does not exist yet. 

          Reserved code range: 4101 - 4199. 
 

          ";?>Hidden Valley Processes
           
A scenario for the pair production of new particles with couplings 
under a new gauge group, with invisible gauge bosons. Radiation of 
these gauge bosons is included in the standard final-state parton 
shower. 

          Reserved code range: 4901 - 4999. 
 

          ";?>Extra-Dimensional 
Processes
           
 
A vast area, here represented by the production of a Randall-Sundrum 
excited graviton state and a Kaluza-Klein gluon, a Kaluza-Klein tower 
of gamma/Z^0 excitations in one TeV^- sized extra dimension, 
several Large Extra Dimension processes, and a few related Unparticle 
processes. 

          Reserved code range: 5001 - 5099. 
 


 
 
 
pythia8-8.1.86.orig/phpdoc/Frontpage.php0000644000175000017500000001701012357553536016267 0ustar  sunsun

Front






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          PYTHIA 8
           
 

          Welcome to PYTHIA - The Lund Monte Carlo!
           
 

           
PYTHIA 8 is the successor to PYTHIA 6, rewritten from scratch in C++. 
With the release of PYTHIA 8.1 it now becomes the official "current" 
PYTHIA version, although PYTHIA 6.4 will be supported in  parallel 
with it for some time to come. Specifically, the new version has not 
yet been enough tested and tuned for it to have reached the same level 
of reliability as the older one. This testing will only happen if 
people begin to work with the program, however, which is why we 
encourage a gradual transition to the new version, starting now. 
There are some new physics features in PYTHIA 8.1, that would make 
use of it more attractive, but also some topics still missing, where 
6.4 would have to be used. Further, many obsolete features will not 
be carried over, so for some backwards compatibility studies again 
6.4 would be the choice. 
 

          Documentation
           
 
On these webpages you will find the up-to-date manual for PYTHIA 8.1. 
Use the left-hand index to navigate this documentation of program 
elements, especially of all possible program settings. All parameters 
are provided with sensible default values, however, so you need only 
change those of relevance to your particular study, such as choice of 
beams, processes and phase space cuts. The pages also contain a fairly 
extensive survey of all methods available to the user, e.g. to study 
the produced events. What is lacking on these webpages is an overview, 
on the one hand, and an in-depth physics description, on the other. 
 

           
The overview can be found in the attached PDF file 

          A Brief Introduction 
to PYTHIA 8.1 

          T. Sjöstrand, S. Mrenna and P. Skands, 
Comput. Phys. Comm. 178 (2008) 852 [arXiv:0710.3820]. 

          You are strongly recommended to read this summary when you 
start out to learn how to use PYTHIA 8.1. Note that some details 
have changed since the 8.100 version described there. 
 

           
For the physics description we refer to the complete 

          PYTHIA 6.4 Physics and Manual 

          T. Sjöstrand, S. Mrenna and P. Skands, JHEP05 (2006) 026, 

          which in detail describes the physics (largely) implemented also in 
PYTHIA 8, and also provides a more extensive bibliography than found 
here. 
 

           
When you use PYTHIA 8.1, you should therefore cite both, e.g. like 

          T. Sjöstrand, S. Mrenna and P. Skands, JHEP05 (2006) 026, 
Comput. Phys. Comm. 178 (2008) 852. 
 

           
Furthermore, a separate 

           
PYTHIA 8 Worksheet, 

          also an attached PDF file, offers a practical introduction to 
using the generator. It has been developed for and used at a few 
summer schools, with minor variations, but is also suited for 
self-study. 
 

          Authors
           
 

           
Torbjörn Sjöstrand
           
Department of Astronomy and Theoretical Physics, Lund University, 
Sölvegatan 14A, SE-223 62 Lund, Sweden
           
phone: + 46 - 46 - 222 48 16, e-mail: torbjorn@thep.lu.se 
 

           
Jesper Roy Christiansen
           
Department of Astronomy and Theoretical Physics, Lund University, 
Sölvegatan 14A, SE-223 62 Lund, Sweden
           
e-mail: Jesper.Roy.Christiansen@thep.lu.se 
 

           
Nishita Desai
           
Institut für Theoretische Physik, Universität Heidelberg, 
Philosophenweg 16, D-69120 Heidelberg, Germany
           
phone: +49 - 6221 54 9424, e-mail: Nishita.Desai@cern.ch 
 

           
Philip Ilten
           
Massachusetts Institute of Technology, 
stationed at CERN, CH-1211 Geneva 23, Switzerland
           
e-mail: philten@cern.ch 
 

           
Stephen Mrenna
           
Computing Division, Simulations Group, 
Fermi National Accelerator Laboratory, 
MS 234, Batavia, IL 60510, USA
           
phone: + 1 - 630 - 840 - 2556, e-mail: mrenna@fnal.gov 
 

           
Stefan Prestel
           
Theory Group, DESY, Notkestrasse 85, D-22607 Hamburg, Germany
           
phone: + 49 - 40 - 8998-4250, e-mail: stefan.prestel@thep.lu.se 
 

           
Peter Skands
           
Theoretical Physics, CERN, CH-1211 Geneva 23, Switzerland
           
phone: + 41 - 22 - 767 2447, e-mail: peter.skands@cern.ch 
 

          Former authors
           
 

          Stefan Ask, e-mail: ask.stefan@gmail.com 
 

          Richard Corke, e-mail: r.corke@errno.net 
 

          Further contributions
           
 
Makefiles, configure scripts and HepMC interface by Mikhail Kirsanov. 

          Conversion of XML files to PHP ones by Ben Lloyd. 

          Simple Makefile for Win32/NMAKE by Bertrand Bellenot. 

          Extended Higgs sector partly implemented by Marc Montull. 

          Parts of charm and bottom decay tables courtesy DELPHI and 
LHCb collaborations. 

          Tunes and comparisons with data, based on Rivet and Professor, 
by Hendrik Hoeth. 

          Text and code on the use of ROOT in conjunction with PYTHIA 
by Rene Brun, Andreas Morsch and Axel Naumann. 

          Code and data for MRST/MSTW PDFs by Robert Thorne and 
Graeme Watt. 

          Code and data for the CTEQ/CT PDFs by Joey Huston 
and colleagues. 

          Help with implementing new proton PDFs by Tomas Kasemets. 

          Code and data for Pomeron PDFs by H1 collaboration and 
especially Paul Newman. 

          Help with implementing new Pomeron fluxes and PDFs by 
Sparsh Navin. 

          The new Hidden Valley code developed together with Lisa Carloni. 

          Code for a Kaluza-Klein electroweak gauge boson provided by 
Noam Hod and Mark Sutton. 

          Code for equivalent photon flux around an unresolved proton by 
Oystein Alvestad. 

          The MBR diffractive model and central diffraction by 
Robert Ciesielski. 

          2012 branching ratios for most light hadrons, and the tau lepton, 
by Anil Pratap Singh. 

          The pythia8-config script has been contributed by 
Andy Buckley, along with many other helpful suggestions. 

          Code and data for several of the NNPDF2.3 QCD+QED sets provided by 
Juan Rojo and Stefano Carrazza. 

          The fjcore code from FastJet provided by Matteo Cacciari, 
Gavin Salam and Gregory Soyez. 
 

          Note: in several cases modifications have been made to 
the original code, in order to integrate it with PYTHIA. In these cases 
the blame for any mistakes has to rest with the regular authors. 
 

          Licence
           
 
PYTHIA 8 is licensed under the 
GNU General Public Licence 
version 2. 

          Please respect the 
MCnet Guidelines 
for Event Generator Authors and Users. 
 

           
The program and the documentation is 
Copyright © 2014 Torbjörn Sjöstrand 
  
 


 
 
pythia8-8.1.86.orig/phpdoc/WeakShowers.php0000644000175000017500000003027712357553536016616 0ustar  sunsun

Weak Showers






SETTINGS SAVED TO FILE

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          Weak Showers
           
 
The emission of W^+- and Z^0 gauge bosons off fermions 
is intended to be an integrated part of the initial- and final-state 
radiation frameworks, and is fully interleaved with QCD and QED emissions. 
It is a new and still not fully explored feature, however, and therefore 
it is off by default. The weak-emission machinery is described in detail 
in [Chr14]; here we only bring up some of the most relevant 
points for using this machinery. 
 

           
In QCD and QED showers the real and virtual corrections are directly 
related with each other, which means that the appropriate Sudakov factors 
can be directly obtained as a by-product of the real-emission evolution. 
This does not hold for W^+-, owing to the flavour-changing 
character of emissions, so-called Bloch-Nordsieck violations. These 
effects are not expected to be large, but they are not properly included, 
since our evolution framework makes no distinction in this respect 
between QCD, QED or weak emissions. Another restriction is that there 
is no simulation of the full gamma^*/Z^0 interference: at low 
masses the QED shower involves a pure gamma^* component, 
whereas the weak shower generates a pure Z^0. 
 

           
The non-negligible W/Z masses have a considerable impact 
both on the matrix elements and on the phase space for their emission. 
The shower on its own is not set up to handle those aspects with a 
particularly good accuracy. Therefore the weak shower emissions are 
always matched to the matrix element for emission off a f fbar 
weak dipole, or some other 2 → 3 matrix element that resembles 
the topology at hand. Even if the match may not be perfect, at least the 
main features should be caught that way. Notably, the correction procedure 
is used throughout the shower, not only for the emission closest to the 
hard 2 → 2 process. In such extended applications, emission 
rates are normalized to the invariant mass of the dipole at 
the time of the weak emission, i.e. discounting the energy change by 
previous QCD/QED emissions. 
 

           
Also the angular distribution in the 
subsequent V = W^+-/Z^0 decay is matched to the matrix element 
expression for f fbar → f fbar V → f fbar f' fbar' (FSR) 
and f fbar → g^* V → g^* f' fbar' (ISR). Afterwards the 
f' fbar' system undergoes showers and hadronization just like 
any W^+-/Z^0 decay products would. 
 

           
Special for the weak showers is that couplings are different for left- and 
righthanded fermions. With incoming unpolarized beams this should average out, 
at least so long as only one weak emission occurs. In the case of several 
weak emissions off the same fermion the correlation between them will carry 
a memory of the fermion helicity. Such a memory is retained for the 
affected dipole end, and is reflected in the Particle::pol() 
property, it being +1 (-1) for fermions considered 
righthanded (lefthanded), and 0 for the bulk where no choice has been 
made. 
 

           Most events will not contain a W^+-/Z^0 emission at all, 
which means that dedicated generator studies of weak emissions can 
become quite  inefficient. In a shower framework it is not 
straightforward to force  such emissions to happen without biasing 
the event sample in some respect. An option is available to enhance 
the emission rate artificially, but it is then the responsibility of 
the user to correct the cross section accordingly, and not to pick an 
enhancement so big that the probability for more than one emission is 
non-negligible. (It is not enough to assign an event weight 
1/e^n where e is the enhancement factor 
and n is the number of emitted gauge bosons. This still 
misses to account for the change in phase space for late emissions by 
the effect of earlier ones, or equivalently for the unwanted change in 
the Sudakov form factor. See [Lon12a] for a detailed discussion 
and possible solutions.) 
 

           
Another enhancement probability is to only allow some specific 
W^+-/Z^0 decay modes. By default the shower is inclusive, 
since it should describe all that can happen with unit probability. 
This also holds even if the W^+- and Z^0 produced 
in the hard process have been restricted to specific decay channels. 
The trick that allows this is that two new "aliases" have been produced, 
a Zcopy with identity code 93 and a Wcopy with 
code 94. These copies are used specifically to bookkeep decay channels 
open for W^+-/Z^0 bosons produced in the shower. For the rest 
they are invisible, i.e. you will not find these codes in event listings, 
but only the regular 23 and 24 ones. The identity code duplication allows 
the selection of specific decay modes for 93 and 94, i.e. for only the 
gauge bosons produced in the shower. As above it is here up to the user 
to reweight the event to compensate for the bias introduced, and to watch 
out for possible complications. In this case there is no kinematics bias, 
but one would miss out on topologies where a not-selected decay channel 
could be part of the background to the selected one, notably when more 
than one gauge boson is produced. 
 

           
Note that the common theme is that a bias leads to an event-specific 
weight, since each event is unique. It also means that the cross-section 
information obtained e.g. by Pythia::stat() is misleading, 
since it has not been corrected for such weights. This is different from 
biases in a predetermined hard process, where the net reduction in cross 
section can be calculated once and for all at initialization, and events 
generated with unit weight thereafter. 
 

           
The weak shower introduces a possible doublecounting problem. Namely that it 
is now possible to produce weak bosons in association with jets from two 
different channels, Drell-Yan weak production with QCD emissions and QCD 
hard process with a weak emission. A method, built on a classification of 
each event with the kT jet algorithm, is used to remove the 
doublecounting. Specifically, consider a tentative final state consisting 
of a W/Z and two jets. Based on the principle that the shower 
emission ought to be softer than the hard emission, the emission of a 
hard W/Z should be vetoed in a QCD event, and that of two hard 
jets in a Drell-Yan event. The dividing criterion is this whether the 
first clustering step involves the W/Z or not. It is suggested 
to turn this method on only if you simulate both Drell-Yan weak production 
and QCD hard production with a weak shower. Do not turn on the veto 
algorithm if you only intend to generate one of the two processes. 
 

          variables
           
 
Below are listed the variables related to the weak shower and common to both 
the initial- and final-state radiation. For variables only related to the 
initial-state radiation (e.g. to turn the weak shower on for ISR) see 
";?>Spacelike Showers and for 
final-state radiation see 
";?>Timelike Showers. 
 


          WeakShower:enhancement      (default = 1.; minimum = 1.; maximum = 1000.)
          
Enhancement factor for the weak shower. This is used to increase the 
statistics of weak shower emissions. Remember afterwards to correct for 
the additional weak emissions (i.e. divide the rate of weak emissions by 
the same factor). 
   
 


          WeakShower:singleEmission  On
Off
   (default = off)
          
This parameter allows to stop the weak shower after a single emission. 

          If on, only a single weak emission is allowed. 

          If off, an unlimited number of weak emissions possible. 
   
 


          WeakShower:vetoWeakJets  On
Off
   (default = off)
          
There are two ways to produce weak bosons in association with jets, namely 
Drell-Yan weak production with QCD radiation and QCD hard process with weak 
radiation. In order to avoid double counting between the two production 
channels, a veto procedure built on the kT jet algorithm is 
implemented in the evolution starting from a 2 → 2 QCD process, 
process codes in the range 111 - 129. The veto algorithm finds the first 
cluster step, and if it does not involve a weak boson the radiation of 
the weak boson is vetoed when WeakShower:vetoWeakJets is on. 
Note that this flag does not affect other internal or external processes, 
only the 111 - 129 ones. For the Drell-Yan process the same veto algorithm 
is used, but this time the event should be vetoed if the first clustering 
does contain a weak boson, see WeakShower:vetoQCDjets below. 
   
 


          WeakShower:vetoQCDjets  On
Off
   (default = off)
          
This flag vetoes some QCD emission for Drell-Yan weak production to avoid 
doublecounting with weak emission in QCD hard processes. For more 
information see WeakShower:vetoWeakJets above. Note that 
this flag only affects the process codes 221 and 222, i.e. the main 
built-in processes for gamma^*/Z^0/W^+- production, and not 
other internal or external processes. 
   
 


          WeakShower:vetoWeakDeltaR      (default = 0.6; minimum = 0.1; maximum = 2.)
          
The delta R parameter used in the kT clustering for 
the veto algorithm used to avoid double counting. Relates to the relative 
importance given to ISR and FSR emissionbs. 
   
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/ResonanceDecays.php0000644000175000017500000005417112357553536017421 0ustar  sunsun

Resonance Decays






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Resonance Decays
           
 
The ResonanceDecays class performs the sequential decays of 
all resonances formed in the hard process. Note the important distinction 
between "resonances" and other "particles" made in PYTHIA. 

             

          •  
The list of resonances contains gamma^*/Z^0, W^+-, top, 
the Higgs, and essentially all new particles of Beyond-the-Standard-Model 
physics: further Higgs bosons, sfermions, gauginos, techniparticles, and 
so on. The partial widths to different decay channels are perturbatively 
calculable, given the parameters of the respective model, and branching 
ratios may be allowed to vary across a (reasonably broad) resonance peak. 
Usually resonances are short-lived, and therefore it makes sense to consider 
their decays immediately after the primary hard process has been set up. 
Furthermore, in several cases the decay angular distributions are encoded 
as part of the specific process, e.g. the W decays differently in 
f fbar → W^+-, f fbar → W^+ W^- and 
h^0 → W^+ W^- . All of these particles are (in PYTHIA) only 
produced as part of the hard process itself, i.e. they are not produced 
in showers or hadronization processes. Therefore the restriction to 
specific decay channels can be consistently taken into account as a 
corresponding reduction in the cross section of a process. Finally, note 
that all of these resonances have an on-shell mass above 20 GeV, with the 
exception of some hypothetical weakly interacting and stable particles 
such as the gravitino. 

            •  

          •  
The other particles include normal hadrons and the Standard-Model leptons, 
including the tau^+-. These can be produced in the normal 
hadronization and decay description, which involve unknown nonperturbative 
parameters and multistep chains that cannot be predicted beforehand: 
a hard process like g g → g g can develop a shower with a 
g → b bbar branching, where the b hadronizes to a 
B^0bar that oscillates to a B^0 that decays to a 
tau^+. Therefore any change of branching ratios - most of which 
are determined from data rather than from first principles anyway - 
will not be taken into account in the cross section of a process. 
Exceptions exist, but most particles in this class are made to decay 
isotropically. Finally, note that all of these particles have a mass 
below 20 GeV. 

            •  

           
 
There is one ambiguous case in this classification, namely the photon. 
The gamma^*/Z^0 combination contains a low-mass peak when 
produced in a hard process. On the other hand, photons can participate 
in shower evolution, and therefore a photon originally assumed 
massless can be assigned an arbitrarily high mass when it is allowed 
to branch into a fermion pair. In some cases this could lead to 
double-counting, e.g. between processes such as 
f fbar → (gamma^*/Z^0) (gamma^*/Z^0), 
f fbar → (gamma^*/Z^0) gamma and 
f fbar → gamma gamma. Here it make sense to limit the 
lower mass allowed for the gamma^*/Z^0 combination, 
in 23:mMin, to be the same as the upper limit allowed 
for an off-shell photon in the shower evolution, in 
TimeShower:mMaxGamma. By default this matching is done 
at 10 GeV. 
 

           
In spite of the above-mentioned differences, the resonances and the 
other particles are all stored in one common 
";?>particle data table, so as to offer a 
uniform interface to ";?>setting and 
getting properties such as name, mass, charge and decay modes, 
also for the ";?>particle properties 
in the event record. Some methods are specific to resonances, however, 
in particular for the calculation of partial widths and thereby of 
branching ratio. For resonances these can be calculated dynamically, 
set up at initialization for the nominal mass and then updated to the 
current mass when these are picked according to a Breit-Wigner resonance 
shape. 
 

          Resonance Decays and Cross Sections
           
 
As already hinted above, you have the possibility to set the allowed 
decay channels of resonances, see 
";?>Particle Data Scheme description. 
For instance, if you study the process q qbar → H^0 Z^0 
you could specify that the Z^0 should decay only to 
lepton pairs, the H^0 only to W^+ W^-, the 
W^+ only to a muon and a neutrino, while the W^- 
can decay to anything. Unfortunately there are limits to the 
flexibility: you cannot set a resonance to have different properties 
in different places of a process, e.g. if instead 
H^0 → Z^0 Z^0 in the above process then the three 
Z^0's would all obey the same rules. 
 

           
The restrictions on the allowed final states of a process is directly 
reflected in the cross section of it. That is, if some final states 
are excluded then the cross section is reduced accordingly. Such 
restrictions are built up recursively in cases of sequential decay 
chains. The restrictions are also reflected in the compositions of 
those events that actually do get to be generated. For instance, 
the relative rates of H^0 → W^+ W^- and 
H^0 → Z^0 Z^0 are shifted when the allowed sets of 
W^+- and Z^0 decay channels are changed. 
 

           
We remind that only those particles that Pythia treat as resonances 
enjoy this property, and only those that are considered as part of the 
hard process and its associated resonance decays. 
 

           
There is one key restriction on resonances: 


          ResonanceWidths:minWidth      (default = 1e-20; minimum = 1e-30)
          
Minimal allowed width of a resonance, in GeV. If the width falls below 
this number the resonance is considered stable and will not be allowed 
to decay. This is mainly intended as a technical parameter, to avoid 
disasters in cases where no open decay channels exists at all. It could 
be used for real-life decisions as well, however, but then typically 
would have to be much bigger than the default value. Special caution 
would be needed if coloured resonance particles were made stable, since 
the program would not necessarily know how to hadronize them, and 
therefore fail at that stage. 
   
 

           
In spite of this technical parameter choice, it is possible to set 
a lifetime for a resonance, and thereby to obtain displaced vertices. 
If a resonance is allowed to decay it will do so, irrespective of 
the location of the decay vertex. This is unlike 
";?>normal particle decays, 
where it is possible to define some region around the primary 
vertex within which all decays should happen, with particles 
leaving that region considered stable. The logic is that resonances 
as a rule are too short-lived for secondary vertices, 
so if you pick a scenario with a long-lived but unstable resonance 
it is because you want to study secondary vertices. 
How to interface those decays to a detector simulation program then 
is another story, to be solved separately. Do note that a special 
treatment is needed for coloured long-lived resonances, that form 
";?>R-hadrons, and where charge and flavour 
may change between the production and decay vertices. 
 

          Special properties and methods for resonances
           
 
The method ParticleData::isResonance(id) allows you to 
query whether a given particle species is considered a resonance or not. 
You can also change the default value of this flag in the normal way, 
e.g. pythia.readString("id:isResonance = true"). 


           
Resonances come in two kinds.

             

          •  
The standard built-in ones include Z^0, W^+-, 
t, h^0, and many more. These have explicit decay-widths 
formulae encoded, in classes derived from the 
";?>ResonanceWidths 
base class. The formulae are used, e.g., to calculate all the partial 
widths as a function of the resonance masses you choose, and at 
initialization the existing total width values are overwritten.
This is especially convenient for hypothetical states, like a Z', 
where the mass is not known and therefore routinely changed. Often the
partial widths are associated with parameters that can be changed by the 
user, e.g. for MSSM Higgs states.

            •  

          •   
If a resonance does not have a class of its own, with hardcoded equations 
for all relevant partial widths, then a simpler object will be created 
at initialization. This object will take the total width and branching 
ratios as is (with the optional variations explained in the next section).
When you set a particle to be a resonance, and do not provide any
class to go with its width calculations, this is where it will end up.

            •  

           

Sometimes experimentalists want to modify the physical width of a 
resonance, to understand how sensitive analyses are to this width, 
if at all. For the second, simpler kind of resonances, the  
id:mWidth can be changed right away, but for the first
kind any change will be overwritten at initialization. To circumvent
this problem, the id:doForceWidth flag can be changed from
the default off to on. Then the width stored 
in id:mWidth is strictly used to describe the Breit-Wigner 
of the resonance. Partial widths are still recalculated to set the
mass-dependent branching ratios, but then uniformly rescaled to the
requested total width. The width can also run across the lineshape, 
so that it deviates from the nominal one in the wings of the
Breit-Wigner.


           
For processes that contain interference terms between resonances, 
notably gamma^*/Z^0 or gamma^*/Z^0/Z'^0, it is not
obvious how these contributions should be modified consistently. 
Therefore it is necessary to set WeakZ0:gmZmode = 2
or Zprime:gmZmode = 3, to have a pure Z^0 or 
Z'^0, respectively, for width forcing to be allowed in 
these cases.  


           
A warning is that the different processes have cross sections
that rescale in different ways when the resonance width is varied.
This depends on them not having been implemented in a guaranteed
uniform way. To illustrate the point, consider the case of an
s-channel resonance, where the cross section dependence 
on the width can be written as 

          
sigmaHat(sHat) = constant * Gamma_in * Gamma_out 
/ ((sHat - m^2)^2 + m^2 * Gamma^2)

          
Here the doForceWidth = on option ensures that the 
Gamma in the denominator is rescaled by some factor 
k relative to the natural width, but does not guarantee
that Gamma_in and Gamma_out are rescaled as well.
If all three are rescaled by the same factor k, as they
should, then the integrated cross section also scales like k, 
assuming that the peak is reasonably narrow, so that the variation 
of PDF's across the Breit-Wigner can be neglected. This is the case 
for some processes. But in others either or both of the production 
and decay vertices can have been hardcoded, based on the coupling 
structure, and thus not scale with k. If only 
Gamma_out scales with k, say,  the cross section 
remains (approximately) constant, and if neither scales the cross 
section will even go like 1/k. Such obvious normalization
imperfections have to be corrected by hand.
 

           
Mainly for internal usage, the 
";?>ParticleData contain 
some special methods that are only meaningful for resonances: 

             

          • resInit(...) to initialize a resonance, possibly 
including a recalculation of the nominal width to match the nominal 
mass;
            •  

          • resWidth(...) to calculate the partial and total widths 
at the currently selected mass;
            •  

          • resWidthOpen(...) to calculate the partial and total 
widths of those channels left open by user switches, at the currently 
selected mass;
            •  

          • resWidthStore(...) to calculate the partial and total 
widths of those channels left open by user switches, at the currently 
selected mass, and store those as input for a subsequent selection of 
decay channel;
            •  

          • resOpenFrac(...) to return the fraction of the total 
width that is open by the decay channel selection made by users (based on 
the choice of ";?>onMode 
for the various decay channels, recursively calculated for sequential 
decays);
            •  

          • resWidthRescaleFactor(...) returns the factor by which 
the internally calculated PYTHIA width has to be rescaled to give the 
user-enforced width;
            •  

          • resWidthChan(...) to return the width for one particular 
channel (currently only used for Higgs decays, to obtain instate coupling 
from outstate width).
            •  

           
These methods actually provide an interface to the classes derived from 
the ResonanceWidths base class, to describe various 
resonances. 
  

          Modes for Matrix Element Processing
           
 
The meMode() value for a decay mode is used to specify 
";?>nonisotropic decays or the conversion of 
a parton list into a set of hadrons in some channels of normal 
particles. For resonances it can also take a third function, namely 
to describe how the branching ratios and widths of a resonance should 
be rescaled as a function of the current mass of the decaying resonance. 
The rules are especially useful when new channels are added to an 
existing particle, or a completely new resonance added. 
 

             

          • 0 : channels for which hardcoded partial-width expressions are 
expected to exist in the derived class of the respective resonance. 
Should no such code exist then the partial width defaults to zero. 

            •  

          • 1 - 99 : same as 0, but normally not used for resonances.
            •  

          • 100 : calculate the partial width of the channel from its stored 
branching ratio times the stored total width. This value remains unchanged 
when the resonance fluctuates in mass. Specifically there are no 
threshold corrections. That is, if the resonance fluctuates down in 
mass, to below the nominal threshold, it is assumed that one of the 
daughters could also fluctuate down to keep the channel open. (If not, 
there may be problems later on.) 

            •  

          • 101 : calculate the partial width of the channel from its stored 
branching ratio times the stored total width. Multiply by a step threshold, 
i.e. the channel is switched off when the sum of the daughter on-shell 
masses is above the current mother mass.
            •  

          • 102 : calculate the partial width of the channel from its stored 
branching ratio times the stored total width. Multiply by a smooth 
threshold factor 
beta = sqrt( (1 - m_1^2/m_2 - m_2^2/m^2)^2 - 4 m_1^2 m_2^2/m^4) 
for two-body decays and sqrt(1 - Sum_i m_i / m) for multibody 
ones. The former correctly encodes the size of the phase space but 
misses out on any nontrivial matrix-element behaviour, while the latter 
obviously is a very crude simplification of the correct phase-space 
expression. Specifically, it is thereby assumed that the stored branching 
ratio and total width did not take into account such a factor.
            •  

          • 103 : use the same kind of behaviour and threshold factor as for 
102 above, but assume that such a threshold factor has been used when 
the default branching ratio and total width were calculated, so that one 
should additionally divide by the on-shell threshold factor. Specifically, 
this will give back the stored branching ratios for on-shell mass, 
unlike the 102 option. To avoid division by zero, or in general 
unreasonably big rescaling factors, a lower limit 
minThreshold (see below) on the value of the on-shell 
threshold factor is imposed. (In cases where a big rescaling is 
intentional, code 102 would be more appropriate.) 
            •  

           
 


          ResonanceWidths:minThreshold      (default = 0.1; minimum = 0.01)
          
Used uniquely for meMode = 103 to set the minimal value 
assumed for the threshold factor, 
sqrt( (1 - m_1^2/m_2 - m_2^2/m^2)^2 - 4 m_1^2 m_2^2/m^4) 
for two-body decays and sqrt(1 - Sum_i m_i / m) for multibody 
ones. Thus the inverse of this number sets an upper limit for how 
much the partial width of a channel can increase from the on-shell 
value to the value for asymptotically large resonance masses. Is mainly 
intended as a safety measure, to avoid unintentionally large rescalings. 
   
 

           
All of these meMode's may coexist for the same resonance. 
This would be the case e.g. if you want to add a few new channels to an 
already existing resonance, where the old partial widths come hardcoded 
while the new ones are read in from an external file. The typical example 
would be an MSSM Higgs sector, where partial widths to SM particles are 
already encoded, meMode = 0, while decay rates to sparticles 
are read in from some external calculation and maybe would be best 
approximated by using meMode = 103. Indeed the default 
particle table in PYTHIA uses 103 for all channels that are expected 
to be provided by external input. 
 

           
Some further clarification may be useful. At initialization the existing 
total width and on-shell branching ratios will be updated. For channels 
with meMode < 100 the originally stored branching ratios 
are irrelevant, since the existing code will anyway be used to calculate 
the partial widths from scratch. For channels with meMode = 100 
or bigger, instead the stored branching ratio is used together with the 
originally stored total width to define the correct on-shell partial width. 
The sum of partial widths then gives the new total width, and from there 
new branching ratios are defined. 
 

           
In these operations the original sum of branching ratios need not be 
normalized to unity. For instance, you may at input have a stored total 
width of 1 GeV and a sum of branching ratios of 2. After initialization 
the width will then have been changed to 2 GeV and the sum of branching 
ratios rescaled to unity. This might happen e.g. if you add a few channels 
to an existing resonance, without changing the branching ratios of the 
existing channels or the total width of the resonance. 
 

           
In order to simulate the Breit-Wigner shape correctly, it is important 
that all channels that contribute to the total width are included in the 
above operations. This must be kept separate from the issue of which 
channels you want to have switched on for a particular study, to be 
considered next. 
  

           
 
In the event-generation process, when an off-shell resonance mass has been 
selected, the width and branching ratios are re-evaluated for this new mass. 
At this stage also the effects of restrictions on allowed decay modes are 
taken into account, as set by the onMode switch for each 
separate decay channel. Thus a channel may be on or off, with different 
choices of open channels between the particle and its antiparticle. 
In addition, even when a channel is on, the decay may be into another 
resonance with its selection of allowed channels. It is these kinds of 
restrictions that lead to the Gamma_out possibly being 
smaller than Gamma_tot.  As a reminder, the Breit-Wigner for 
decays behaves like Gamma_out / ((s - m^2)^2 + s * Gamma_tot^2), 
where the width in the numerator is only to those channels being studied, 
but the one in the denominator to all channels of the particle. These 
ever-changing numbers are not directly visible to the user, but are only 
stored in a work area. 
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/StandardModelParameters.php0000644000175000017500000004705112357553536021117 0ustar  sunsun

Standard-Model Parameters






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Standard-Model Parameters
           
 

          The strong coupling
           
 
The AlphaStrong class is used to provide a first- or 
second-order running alpha_strong (or, trivially, a 
zeroth-order fixed one). Formulae are the standard ones found in 
[Yao06]. The second-order expression used, eq. (9.5), 
may be somewhat different in other approaches (with differences 
formally of higher order), so do not necessarily expect perfect 
agreement, especially not at small Q^2 scales. The starting 
alpha_strong value is defined at the M_Z mass scale. 
The Lambda values are matched at the c, b 
and t flavour thresholds, 
such that alpha_strong is continuous. 
For second-order matching an approximate iterative method is used. 
 

           
For backwards compatibility, 
the following global switch determines whether 5- or 6-flavour running 
will be used above the t threshold: 


          StandardModel:alphaSnfmax      (default = 6; minimum = 5; maximum = 6)
          

          
5 : Use 5-flavour running for all scales above the  b flavour threshold (old default).
          
6 : Use 6-flavour running above the t threshold  (new default).
          
  

           
Since we allow alpha_strong to vary separately for 
hard processes, timelike showers, spacelike showers and  multiparton 
interactions, all other relevant values are set in each of these classes. 
The default behaviour is everywhere first-order running. 
 

           
The alpha_strong calculation is initialized by 
init( value, order, nfmax), where value 
is the alpha_strong value at M_Z, order 
is the order of the running, 0, 1 or 2, and nfmax 
is the highest number of flavours to include in the running. Thereafter 
the value can be calculated by alphaS(scale2), where 
scale2 is the Q^2 scale in GeV^2. 
 

           
For applications inside shower programs, a second-order alpha_s 
value can be obtained as the product of the two functions 
alphaS1Ord(scale2) and alphaS2OrdCorr(scale2), 
where the first gives a simple first-order running (but with the 
second-order Lambda) and the second the correction factor, 
below unity, for the second-order terms. This allows a compact handling 
of evolution equations. 
 

           
Resummation arguments [Cat91] show that a set of 
universal QCD corrections can be absorbed in coherent parton showers by 
applying the so-called CMW rescaling of the MSbar value of 
Lambda_QCD. This can be accomplished via a fourth (optional) 
boolean argument to init( value, order, nfmax, useCMW), 
with default value useCMW = false. When set to 
true, the translation amounts to an N_F-dependent 
rescaling of Lambda_QCD, relative to its MSbar value, by 
a factor 1.661 for NF=3, 1.618 for NF=4, 1.569 for NF=5, 
and 1.513 for NF=6. When using this option, 
be aware that the original CMW arguments were derived using two-loop running 
and that the CMW rescaling may need be taken into account in the context of 
matrix-element matching. Note also that this option has only been made 
available for timelike and spacelike showers, not for hard processes. 
  

          The electromagnetic coupling
           
 
The AlphaEM class is used to generate a running 
alpha_em. The input StandardModel:alphaEMmZ 
value at the M_Z mass is matched to a low-energy behaviour 
with running starting at the electron mass threshold. The matching 
is done by fitting an effective running coefficient in the region 
between the light-quark threshold and the charm/tau threshold. This 
procedure is approximate, but good enough for our purposes. 
 

           
Since we allow alpha_em to vary separately for 
hard processes, timelike showers, spacelike showers and  multiparton 
interactions, the choice between using a fixed or a running 
alpha_em can be made in each of these classes. 
The default behaviour is everywhere first-order running. 
The actual values assumed at zero momentum transfer and 
at M_Z are only set here, however. 
 


          StandardModel:alphaEM0      (default = 0.00729735; minimum = 0.0072973; maximum = 0.0072974)
          
The alpha_em value at vanishing momentum transfer 
(and also below m_e). 
   
 


          StandardModel:alphaEMmZ      (default = 0.00781751; minimum = 0.00780; maximum = 0.00783)
          
The alpha_em value at the M_Z mass scale. 
Default is taken from [Yao06]. 
   
 

           
The alpha_em calculation is initialized by 
init(order), where order is the order of 
the running, 0 or 1, with -1 a special option to use the fix value 
provided at M_Z.   Thereafter the value can be 
calculated by alphaEM(scale2), where 
scale2 is the Q^2 scale in GeV^2. 
 

          The electroweak couplings
           
 
There are two degrees of freedom that can be set, related to the 
electroweak mixing angle: 
 


          StandardModel:sin2thetaW      (default = 0.2312; minimum = 0.225; maximum = 0.240)
          
The sine-squared of the weak mixing angle, as used in all Z^0 
and W^+- masses and couplings, except for the vector couplings 
of fermions to the Z^0, see below. Default is the MSbar value 
from [Yao06]. 
   
 


          StandardModel:sin2thetaWbar      (default = 0.2315; minimum = 0.225; maximum = 0.240)
          
The sine-squared of the weak mixing angle, as used to derive the vector 
couplings of fermions to the Z^0, in the relation 
v_f = a_f - 4 e_f sin^2(theta_W)bar. Default is the 
effective-angle value from [Yao06]. 
   
 

           
The Fermi constant is not much used in the currently coded matrix elements, 
since it is redundant, but it is available: 
 


          StandardModel:GF      (default = 1.16637e-5; minimum = 1.0e-5; maximum = 1.3e-5)
          
The Fermi coupling constant, in units of GeV^-2. 
   
 

          The quark weak-mixing matrix
           
 
The absolute values of the Cabibbo-Kobayashi-Maskawa matrix elements are 
set by the following nine real values taken from [Yao06] - 
currently the CP-violating phase is not taken into account in this 
parametrization. It is up to the user to pick a consistent unitary 
set of new values whenever changes are made. 
 


          StandardModel:Vud      (default = 0.97383; minimum = 0.973; maximum = 0.975)
          
The V_ud CKM matrix element. 
   
 


          StandardModel:Vus      (default = 0.2272; minimum = 0.224; maximum = 0.230)
          
The V_us CKM matrix element. 
   
 


          StandardModel:Vub      (default = 0.00396; minimum = 0.0037; maximum = 0.0042)
          
The V_ub CKM matrix element. 
   
 


          StandardModel:Vcd      (default = 0.2271; minimum = 0.224; maximum = 0.230)
          
The V_cd CKM matrix element. 
   
 


          StandardModel:Vcs      (default = 0.97296; minimum = 0.972; maximum = 0.974)
          
The V_cs CKM matrix element. 
   
 


          StandardModel:Vcb      (default = 0.04221; minimum = 0.0418; maximum = 0.0426)
          
The V_cb CKM matrix element. 
   
 


          StandardModel:Vtd      (default = 0.00814; minimum = 0.006; maximum = 0.010)
          
The V_td CKM matrix element. 
   
 


          StandardModel:Vts      (default = 0.04161; minimum = 0.039; maximum = 0.043)
          
The V_ts CKM matrix element. 
   
 


          StandardModel:Vtb      (default = 0.9991; minimum = 0.99907; maximum = 0.9992)
          
The V_tb CKM matrix element. 
   
 

          The CoupSM class
           
 
The ";?>Pythia class contains a 
public instance coupSM of the CoupSM class. 
This class contains one instance each of the AlphaStrong 
and AlphaEM classes, and additionally stores the weak couplings 
and the quark mixing matrix mentioned above. This class is used especially 
in the calculation of cross sections and resonance widths, but could also 
be used elsewhere. Specifically, as already mentioned, there are separate 
AlphaStrong and AlphaEM instances for timelike 
and spacelike showers and for multiparton interactions, while weak couplings 
and the quark mixing matrix are only stored here. With the exception of the 
first two methods below, which are for internal use, the subsequent ones 
could also be used externally. 
 


          CoupSM::CoupSM()   
          
the constructor does nothing. Internal. 
   
 


          void CoupSM::init(Settings& settings, Rndm* rndmPtr)   
          
this is where the AlphaStrong and AlphaEM 
instances are initialized, and weak couplings and the quark mixing matrix 
are read in and set. This is based on the values stored on this page and 
among the ";?>Couplings and Scales. 
Internal. 
   
 


          double CoupSM::alphaS(double scale2)   
          
the alpha_strong value at the quadratic scale scale2. 
   
 


          double CoupSM::alphaS1Ord(double scale2)   
          
a first-order overestimate of the full second-order alpha_strong 
value at the quadratic scale scale2. 
   
 


          double CoupSM::alphaS2OrdCorr(double scale2)   
          
a multiplicative correction factor, below unity, that brings the 
first-order overestimate above into agreement with the full second-order 
alpha_strong value at the quadratic scale scale2. 
   
 


          double CoupSM::Lambda3()   
          
   
double CoupSM::Lambda4()   
          
   
double CoupSM::Lambda5()   
          
the three-, four-, and five-flavour Lambda scale. 
   
 


          double CoupSM::alphaEM(double scale2)   
          
the alpha_em value at the quadratic scale scale2. 
   
 


          double CoupSM::sin2thetaW()   
          
   
double CoupSM::cos2thetaW()   
          
the sine-squared and cosine-squared of the weak mixing angle, as used in 
the gauge-boson sector. 
   
 


          double CoupSM::sin2thetaWbar()   
          
the sine-squared of the weak mixing angle, as used to derive the vector 
couplings of fermions to the Z^0. 
   
 


          double CoupSM::GF()   
          
the Fermi constant of weak decays, in GeV^-2. 
   
 


          double CoupSM::ef(int idAbs)   
          
the electrical charge of a fermion, by the absolute sign of the PDF code, 
i.e. idAbs must be in the range between 1 and 18. 
   
 


          double CoupSM::vf(int idAbs)   
          
   
double CoupSM::af(int idAbs)   
          
the vector and axial charges of a fermion, by the absolute sign of the PDF 
code (a_f = +-1, v_f = a_f - 4. * sin2thetaWbar * e_f). 
   
 


          double CoupSM::t3f(int idAbs)   
          
   
double CoupSM::lf(int idAbs)   
          
   
double CoupSM::rf(int idAbs)   
          
the weak isospin, left- and righthanded charges of a fermion, by the 
absolute sign of the PDF code (t^3_f = a_f/2, l_f = (v_f + a_f)/2, 
r_f = (v_f - a_f)/2; you may find other conventions in the literature 
that differ by a factor of 2). 
   
 


          double CoupSM::ef2(int idAbs)   
          
   
double CoupSM::vf2(int idAbs)   
          
   
double CoupSM::af2(int idAbs)   
          
   
double CoupSM::efvf(int idAbs)   
          
   
double CoupSM::vf2af2(int idAbs)   
          
common quadratic combinations of the above couplings: 
e_f^2, v_f^2, a_f^2, e_f * v_f, v_f^2 + a_f^2. 
   
 


          double CoupSM::VCKMgen(int genU, int genD)   
          
   
double CoupSM::V2CKMgen(int genU, int genD)   
          
the CKM mixing element,or the square of it, for 
up-type generation index genU 
(1 = u, 2 = c, 3 = t, 4 = t') and 
down-type generation index genD 
(1 = d, 2 = s, 3 = b, 4 = b'). 
   
 


          double CoupSM::VCKMid(int id1, int id2)   
          
   
double CoupSM::V2CKMid(int id1, int id2)   
          
the CKM mixing element,or the square of it, for 
flavours id1 and id2, both in the 
range from -18 to +18. The sign is here not 
checked (so it can be used both for u + dbar → W+ 
and u → d + W+, say), but impossible flavour combinations 
evaluate to zero. The neutrino sector is numbered by flavor 
eigenstates, so there is no mixing in the lepton-neutrino system. 
   
 


          double CoupSM::V2CKMsum(int id)   
          
the sum of squared CKM mixing element that a given flavour can couple to, 
excluding the top quark and fourth generation. Is close to unity 
for the first two generations. Returns unity for the lepton-neutrino 
sector. 
   
 


          int CoupSM::V2CKMpick(int id)   
          
picks a random CKM partner quark or lepton (with the same sign as 
id) according to the respective squared elements, again 
excluding the top quark and fourth generation from the list of 
possibilities. Unambiguous choice for the lepton-neutrino sector. 
   
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/ExtraDimensionalProcesses.php0000644000175000017500000014320612357553536021506 0ustar  sunsun

Extra-Dimensional Processes






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
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?>


          
 

          Extra-Dimensional Processes
           
 
Scenarios with extra dimensions (ED) allow a multitude of processes. 
Currently three different categories of processes are implemented. 
The first involves the production of excited Kaluza Klein states 
within so-called Randall-Sundrum (RS) scenarios, the second is 
related to resonance production in TeV-1 sized extra dimensions 
and the third relates to phenomena from large extra dimensions (LED). 
Due to the close relation between the LED model and a so-called 
unparticle model, similar unparticle processes are also kept in this 
section. 
 

          Randall-Sundrum Resonances, production processes
           
 
The graviton (G*) and gluon (KKgluon*) resonance states are assigned 
PDG code 5100039 and 5100021 respectively. The G* processes are 
described in [Bij01] and the KKgluon* process in [Ask11]. 
Decays into fermion and boson pairs are handled with the correct 
angular distributions, while subsequent decays are handled 
isotropically. 
 

           
There are two lowest-order processes that together normally 
should be sufficient for a simulation of G^* production. 
 


          ExtraDimensionsG*:all  On
Off
   (default = off)
          
Common switch for the group of lowest-order G^* production 
processes, i.e. the two ones below. 
   
 


          ExtraDimensionsG*:gg2G*  On
Off
   (default = off)
          
Scatterings g g → G^*. 
Code 5001. 
   
 


          ExtraDimensionsG*:ffbar2G*  On
Off
   (default = off)
          
Scatterings f fbar → G^*. 
Code 5002. 
   
 

           
In addition there are three first-order processes included. These 
are of less interest, but can be used for dedicated studies of the 
high-pT tail of G^* production. As usual, it would 
be double counting to include the lowest-order and first-order 
processes simultaneously. Therefore the latter ones are not included 
with the ExtraDimensionsG*:all = on option. In this set 
of processes all decay angles are assumed isotropic. 
 


          ExtraDimensionsG*:gg2G*g  On
Off
   (default = off)
          
Scatterings g g → G^* g. 
Code 5003. 
   
 


          ExtraDimensionsG*:qg2G*q  On
Off
   (default = off)
          
Scatterings q g → G^* q. 
Code 5004. 
   
 


          ExtraDimensionsG*:qqbar2G*g  On
Off
   (default = off)
          
Scatterings q qbar → G^* g. 
Code 5005. 
   
 

           
There is also one process for the production of a gluon resonance. 
 


          ExtraDimensionsG*:qqbar2KKgluon*  On
Off
   (default = off)
          
Scatterings q qbar → g^*/KKgluon^*. 
Code 5006. 
   
 

          Randall-Sundrum Resonances, parameters
           
 
In the above scenario the main free parameters are the masses, which 
are set as usual. In addition there are the following coupling parameters. 
The coupling kappaMG follows the conventions in [Bij01], 
where as the flavour dependent couplings follow the conventions used in 
[Dav01]. 
 


          ExtraDimensionsG*:SMinBulk  On
Off
   (default = off)
          
Parameter to choose between the two scenarios: 
off, SM on the TeV brane (common kappaMG coupling); 
on, SM in the ED bulk (flavour dependent couplings). 
This parameter is only relevant for the lowest-order graviton 
(G*) processes, where as the first-order processes 
corresponds to the off scenario. 
   
 


          ExtraDimensionsG*:VLVL  On
Off
   (default = on)
          
Parameter to specify Z/W coupling scenario: 
off, usual Z/W boson couplings; 
on, coupling only to longitudinal Z/W bosons. 
In both cases the GZZ and GWW values are used 
and this parameter is only relevant when SMinBulk = on. 
The formulas for longitudinal bosons should be appropriate up to 
O(m_V/E_V) corrections. 
   
 


          ExtraDimensionsG*:kappaMG      (default = 0.054; minimum = 0.0)
          
dimensionless coupling, which enters quadratically in all on-shell
partial widths of the G^*. Is 
kappa m_G* = sqrt(2) x_1 k / Mbar_Pl, 
where x_1 = 3.83 is the first zero of the J_1 Bessel 
function and Mbar_Pl is the modified Planck mass. 
In width and cross section calculations, kappa is fixed by 
the on-shell G^* mass and kappaMG, i.e.
kappaMG scales with the off-shell G^* mass.
   
 


          ExtraDimensionsG*:Gll      (default = 0.0; minimum = 0.0)
          
Coupling between graviton and leptons. 
   
 


          ExtraDimensionsG*:Gqq      (default = 0.0; minimum = 0.0)
          
Coupling between graviton and light quarks. 
   
 


          ExtraDimensionsG*:Gbb      (default = 0.0; minimum = 0.0)
          
Coupling between graviton and bottom quark. 
   
 


          ExtraDimensionsG*:Gtt      (default = 0.001; minimum = 0.0)
          
Coupling between graviton and top quark. 
   
 


          ExtraDimensionsG*:Ggg      (default = 0.000013; minimum = 0.0)
          
Coupling between graviton and gluon. 
   
 


          ExtraDimensionsG*:Ggmgm      (default = 0.000013; minimum = 0.0)
          
Coupling between graviton and gamma. 
   
 


          ExtraDimensionsG*:GZZ      (default = 0.001; minimum = 0.0)
          
Coupling between graviton and Z boson. 
   
 


          ExtraDimensionsG*:GWW      (default = 0.001; minimum = 0.0)
          
Coupling between graviton and W boson. 
   
 


          ExtraDimensionsG*:Ghh      (default = 0.001; minimum = 0.0)
          
Coupling between graviton and Higgs bosons. 
   
 


          ExtraDimensionsG*:KKgqR      (default = -0.2)
          
Coupling between KK-gluon and a right-handed light quark. 
   
 


          ExtraDimensionsG*:KKgqL      (default = -0.2)
          
Coupling between KK-gluon and a left-handed light quark. 
   
 


          ExtraDimensionsG*:KKgbR      (default = -0.2)
          
Coupling between KK-gluon and a right-handed bottom quark. 
   
 


          ExtraDimensionsG*:KKgbL      (default = 1.0)
          
Coupling between KK-gluon and a left-handed bottom quark. 
   
 


          ExtraDimensionsG*:KKgtR      (default = 4.0)
          
Coupling between KK-gluon and a right-handed top quark. 
   
 


          ExtraDimensionsG*:KKgtL      (default = 1.0)
          
Coupling between KK-gluon and a left-handed top quark. 
   
 


          ExtraDimensionsG*:KKintMode      (default = 0; minimum = 0; maximum = 2)
          
Choice of full g^*/KK-gluon^* structure or not in relevant 
processes. 

          
0 : full g^*/KK-gluon^* structure, with  interference included.
          
1 : full g^*/KK-gluon^* structure, with  interference included.
          
2 : full g^*/KK-gluon^* structure, with  interference included.
          
 

          TeV^-1 Sized Extra Dimension, production processes
           
 
This section contains a processes involving the production 
of electroweak KK gauge bosons, i.e. gamma_{KK}/Z_{KK}, 
in one TeV^-1 sized extra dimension. The process is described 
in [Bel10] and allows for individual final states to be 
specified. 
 


          ExtraDimensionsTEV:ffbar2ddbar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → d dbar , 
Code 5061. 
   
 


          ExtraDimensionsTEV:ffbar2uubar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → u ubar , 
Code 5062. 
   
 


          ExtraDimensionsTEV:ffbar2ssbar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → s sbar , 
Code 5063. 
   
 


          ExtraDimensionsTEV:ffbar2ccbar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → c cbar , 
Code 5064. 
   
 


          ExtraDimensionsTEV:ffbar2bbbar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → b bbar , 
Code 5065. 
   
 


          ExtraDimensionsTEV:ffbar2ttbar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → t tbar , 
Code 5066. 
   
 


          ExtraDimensionsTEV:ffbar2e+e-  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → e+ e- , 
Code 5071. 
   
 


          ExtraDimensionsTEV:ffbar2nuenuebar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → nue nuebar , 
Code 5072. 
   
 


          ExtraDimensionsTEV:ffbar2mu+mu-  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → mu+ mu- , 
Code 5073. 
   
 


          ExtraDimensionsTEV:ffbar2numunumubar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → numu numubar , 
Code 5074. 
   
 


          ExtraDimensionsTEV:ffbar2tau+tau-  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → tau+ tau- , 
Code 5075. 
   
 


          ExtraDimensionsTEV:ffbar2nutaunutaubar  On
Off
   (default = off)
          
Scatterings f fbar → (gamma_{KK}/Z_{KK}) → nutau nutaubar , 
Code 5076. 
   
 

          TeV^-1 Sized Extra Dimension, parameters
           
 
Irrespective of the parameter options used, the particle produced, 
gamma_{KK}/Z_{KK}, will always be assigned code 5000023. 
 


          ExtraDimensionsTEV:gmZmode      (default = 3; minimum = 0; maximum = 5)
          
Choice of full gamma_{KK}/Z_{KK} structure or not in relevant 
processes. 

          
0 : full gamma_{SM}/Z_{SM} structure, with  interference included.
          
1 : full gamma_{SM}/Z_{SM} structure, with  interference included.
          
2 : full gamma_{SM}/Z_{SM} structure, with  interference included.
          
3 : full gamma_{KK}/Z_{KK} structure, with  interference included.
          
4 : only pure gamma_{KK} contribution, with  SM interference included.
          
5 : only pure Z_{KK} contribution, with SM  interference included.
          
 


          ExtraDimensionsTEV:nMax      (default = 10; minimum = 1; maximum = 100)
          
The number of included KK excitations. 
   
 


          ExtraDimensionsTEV:mStar      (default = 4000.0; minimum = 1000.0)
          
The KK mass m^*, given by the inverse of the single extra 
dimension radius. 
   
 

          Large Extra Dimensions, production processes
           
 
The LED graviton, where the KK-modes normally are summed and do not 
give rise to phenomena individually, is assigned PDG code 5000039. 
The graviton emission and virtual graviton exchange processes use 
the same implementation as the corresponding unparticle processes, 
which are all described in [Ask10]. It is also possible to 
generate monojet events from scalar graviton emission as described 
in [Azu05], by turning on the option GravScalar. 
 

           
Note: As discussed in [Ask09], for the graviton or 
unparticle emission processes the underlying Breit-Wigner mass 
distribution should be matched to the graviton mass spectrum in order 
to achieve an optimal MC efficiency. 
 

           
The following lowest order graviton emission processes are available. 
 


          ExtraDimensionsLED:monojet  On
Off
   (default = off)
          
Common switch for the group of lowest-order G jet emission 
processes, i.e. the three ones below. 
   
 


          ExtraDimensionsLED:gg2Gg  On
Off
   (default = off)
          
Scatterings g g → G g. 
Code 5021. 
   
 


          ExtraDimensionsLED:qg2Gq  On
Off
   (default = off)
          
Scatterings q g → G q. 
Code 5022. 
   
 


          ExtraDimensionsLED:qqbar2Gg  On
Off
   (default = off)
          
Scatterings q qbar → G g. 
Code 5023. 
   
 


          ExtraDimensionsLED:ffbar2GZ  On
Off
   (default = off)
          
Scatterings f fbar → G Z. 
Code 5024. 
   
 


          ExtraDimensionsLED:ffbar2Ggamma  On
Off
   (default = off)
          
Scatterings f fbar → G gamma. This process corresponds 
to the photon limit of the G Z process, as described in 
[Ask09]. 
Code 5025. 
   
 

           
The following LED processes with virtual graviton exchange are 
available. 
 


          ExtraDimensionsLED:ffbar2gammagamma  On
Off
   (default = off)
          
Scatterings f fbar → (LED G*) → gamma gamma. If the 
graviton contribution is zero, the results corresponds to the 
SM contribution, i.e. equivalent to 
PromptPhoton:ffbar2gammagamma. 
Code 5026. 
   
 


          ExtraDimensionsLED:gg2gammagamma  On
Off
   (default = off)
          
Scatterings g g → (LED G*) → gamma gamma. 
Code 5027. 
   
 


          ExtraDimensionsLED:ffbar2llbar  On
Off
   (default = off)
          
Scatterings f fbar → (LED G*) → l l , where 
l is a charged lepton. If the graviton contribution 
is zero, the results corresponds to the SM contribution, i.e. 
similar to WeakSingleBoson:ffbar2gmZ. Does not 
include t-channel amplitude relevant for e^+e^- to e^+e^- 
and no K-factor is used. 
Code 5028. 
   
 


          ExtraDimensionsLED:gg2llbar  On
Off
   (default = off)
          
Scatterings g g → (LED G*) → l l. 
Code 5029. 
   
 

           
Dijet production including graviton exchange is also available, using 
the same effective theory approach as the LED G exchange processes 
above or including more detailed amplitudes in accordance with 
[Fra11]. In case of the latter, the value of LambdaT 
is used as the value of the cut-off scale Lambda. For this 
reason the dijet processes only relates to the LED model and no 
unparticle versions are available. The processes are grouped together 
like their HardQCD equivalents and should therefore converge 
to the same results in the limit of an insignificant graviton 
contribution. 
 

           
Warning: These LED dijets processes are still being validated. 
 


          ExtraDimensionsLED:dijets  On
Off
   (default = off)
          
Common switch for the group of lowest-order jet jet 
production processes with graviton exchange, i.e. the six ones 
below. 
   
 


          ExtraDimensionsLED:gg2DJgg  On
Off
   (default = off)
          
Scatterings g g → (LED G*) → g g. 
Code 5030. 
   
 


          ExtraDimensionsLED:gg2DJqqbar  On
Off
   (default = off)
          
Scatterings g g → (LED G*) → q qbar. Number of 
outgoing flavours specified by nQuarkNew parameter 
below. 
Code 5031. 
   
 


          ExtraDimensionsLED:qg2DJqg  On
Off
   (default = off)
          
Scatterings q g → (LED G*) → q g and 
qbar g → (LED G*) → qbar g. 
Code 5032. 
   
 


          ExtraDimensionsLED:qq2DJqq  On
Off
   (default = off)
          
Scatterings q q(bar)' → (LED G*) → q q(bar)'. 
Including q and qbar of same or different 
flavours, but the outgoing flavours equals the incoming ones. 
Code 5033. 
   
 


          ExtraDimensionsLED:qqbar2DJgg  On
Off
   (default = off)
          
Scatterings q qbar → (LED G*) → g g. 
Code 5034. 
   
 


          ExtraDimensionsLED:qqbar2DJqqbarNew  On
Off
   (default = off)
          
Scatterings q qbar → (LED G*) → q' qbar'. Number of 
outgoing flavours specified by nQuarkNew parameter below. 
Code 5035. 
   
 

          Large Extra Dimensions, parameters
           
 


          ExtraDimensionsLED:GravScalar  On
Off
   (default = off)
          
Allow the monojet processes to produce scalar graviton emission 
instead of the default tensor one. The scalar option is according 
to the processes described in [Azu05] and includes two 
coupling constants below. 
   
 


          ExtraDimensionsLED:n       (default = 2; minimum = 1)
          
Number of extra dimensions. 
   
 


          ExtraDimensionsLED:MD      (default = 2000.; minimum = 100.0)
          
Fundamental scale of gravity in D = 4 + n dimensions. 
   
 


          ExtraDimensionsLED:LambdaT      (default = 2000.; minimum = 100.0)
          
Ultraviolet cutoff parameter for the virtual graviton exchange processes. 
   
 


          ExtraDimensionsLED:NegInt      (default = 0; minimum = 0; maximum = 1)
          
Allows to change sign of the interference terms in the graviton exchange 
processes, common in connection to using the Hewett convention 
Hew99. 

          
0 : 
          
1 : 
          
 


          ExtraDimensionsLED:CutOffMode      (default = 0; minimum = 0; maximum = 3)
          
Options for when the hard scale of the process (e.g. sHat) 
approaches or exceed the scale of validity of the low energy effective 
theory (e.g. M_D). Note: Option 1 only concerns the 
graviton emission processes and the form factor is currently not available 
for the scalar graviton processes. 

          
0 : Do nothing, i.e. all values of sHat contribute.  
          
1 : Truncate contributing sHat region  (Ask09).
          
2 : Truncate contributing sHat region  (Ask09).
          
3 : Truncate contributing sHat region  (Ask09).
          
 


          ExtraDimensionsLED:t      (default = 1.; minimum = 0.001)
          
Form factor parameter. 
   
 


          ExtraDimensionsLED:g      (default = 1.0; minimum = 0.0)
          
Coupling related to scalar graviton emission. 
   
 


          ExtraDimensionsLED:c      (default = 1.0; minimum = 0.0)
          
Coupling related to scalar graviton emission. 
   
 


          ExtraDimensionsLED:nQuarkNew       (default = 3; minimum = 0; maximum = 5)
          
Number of allowed outgoing new quark flavours in the above 
q qbar → (LED G*) → q' qbar' and 
g g → (LED G*) → q' qbar' 
processes. Similar to HardQCD:nQuarkNew for the QCD processes. 
   
 


          ExtraDimensionsLED:opMode       (default = 0; minimum = 0; maximum = 1)
          
Options to specify S function for LED dijet amplitudes. 

          option  0 : Use detailed amplitude, as described in [Fra11]. 
   

          option  1 : Use conventional LambdaT parametrization, 
like the other LED processes.   
   
 

          Unparticles, production processes
           
 
As mentioned above, the similar unparticle and graviton processes 
share the same implementations. The unparticle processes, however, 
only use the dedicated unparticle parameters below. The unparticle 
is also assigned the PDG code 5000039 and is therefore called 
Graviton in the event record. The graviton and unparticle 
emission as well as virtual graviton and unparticle exchange processes 
are described in [Ask10]. 
 

           
Note: As discussed in [Ask09], for the graviton or 
unparticle emission processes the underlying Breit-Wigner mass 
distribution should be matched to the graviton mass spectrum in order 
to achieve an optimal MC efficiency. 
 

           
The following unparticle emission processes are available. 
 


          ExtraDimensionsUnpart:monojet  On
Off
   (default = off)
          
Common switch for the group of lowest-order U jet emission 
processes, i.e. the three ones below. 
   
 


          ExtraDimensionsUnpart:gg2Ug  On
Off
   (default = off)
          
Scatterings g g → U g. 
Code 5045. 
   
 


          ExtraDimensionsUnpart:qg2Uq  On
Off
   (default = off)
          
Scatterings q g → U q. 
Code 5046. 
   
 


          ExtraDimensionsUnpart:qqbar2Ug  On
Off
   (default = off)
          
Scatterings q qbar → U g. 
Code 5047. 
   
 


          ExtraDimensionsUnpart:ffbar2UZ  On
Off
   (default = off)
          
Scatterings f fbar → U Z. 
Code 5041. 
   
 


          ExtraDimensionsUnpart:ffbar2Ugamma  On
Off
   (default = off)
          
Scatterings f fbar → U gamma. This process corresponds 
to the photon limit of the U Z process, as described in 
[Ask09]. 
Code 5042. 
   
 

           
The following processes with virtual unparticle exchange are available. 
 


          ExtraDimensionsUnpart:ffbar2gammagamma  On
Off
   (default = off)
          
Scatterings f fbar → (U*) → gamma gamma. If the unparticle 
contribution is zero in the spin-2 case, the results corresponds to 
the SM contribution, i.e. equivalent to 
PromptPhoton:ffbar2gammagamma. 
Code 5043. 
   
 


          ExtraDimensionsUnpart:gg2gammagamma  On
Off
   (default = off)
          
Scatterings g g → (U*) → gamma gamma. 
Code 5044. 
   
 


          ExtraDimensionsUnpart:ffbar2llbar  On
Off
   (default = off)
          
Scatterings f fbar → (U*) → l lbar , where 
l is a charged lepton. If the unparticle contribution 
is zero, the results corresponds to the SM contribution, i.e. 
similar to WeakSingleBoson:ffbar2gmZ. Does not 
include t-channel amplitude relevant for e^+e^- to e^+e^- 
and no K-factor is used. 
Code 5048. 
   
 


          ExtraDimensionsUnpart:gg2llbar  On
Off
   (default = off)
          
Scatterings g g → (U*) → l lbar. 
Code 5049. 
   
 

          Unparticles, parameters
           
 


          ExtraDimensionsUnpart:spinU       (default = 2; minimum = 0; maximum = 2)
          
Unparticle spin. 
   
 


          ExtraDimensionsUnpart:dU      (default = 1.4; minimum = 1.0)
          
Scale dimension parameter. 
   
 


          ExtraDimensionsUnpart:LambdaU      (default = 2000.; minimum = 100.0)
          
Unparticle renormalization scale. 
   
 


          ExtraDimensionsUnpart:lambda      (default = 1.0; minimum = 0.0)
          
Unparticle coupling to the SM fields. 
   
 


          ExtraDimensionsUnpart:ratio      (default = 1.0; minimum = 1.0; maximum = 1.0)
          
Ratio, lambda'/lambda, between the two possible coupling constants 
of the spin-2 ME. Warning: A ratio value different from one 
give rise to an IR divergence which makes the event generation very slow, so 
this values is fixed to ratio = 1 for the moment. 
   
 


          ExtraDimensionsUnpart:CutOffMode      (default = 0; minimum = 0; maximum = 1)
          
Options for when the hard scale of the process (e.g. sHat) 
approaches or exceed the scale of validity of the low energy effective 
theory (Lambda_U). This mode only concerns the unparticle 
emission processes. 

          
0 : Do nothing, i.e. all values of sHat  contribute.
          
1 : Truncate contributing sHat region  (Ask09).
          
 


          ExtraDimensionsUnpart:gXX      (default = 0; minimum = 0; maximum = 2)
          
Chiral unparticle couplings, gXX = gLL = gRR. Only relevant 
for lepton production from spin-1 unparticle exchange. 

          
0 : 
          
1 : 
          
2 : 
          
 


          ExtraDimensionsUnpart:gXY      (default = 0; minimum = 0; maximum = 2)
          
Chiral unparticle couplings, gXY = gLR = gRL. Only relevant 
for lepton production from spin-1 unparticle exchange. 

          
0 : 
          
1 : 
          
2 : 
          
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/Diffraction.php0000644000175000017500000007040112357553536016575 0ustar  sunsun

Diffraction






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Diffraction
           
 

          Introduction
           
 
Diffraction is not well understood, and several alternative approaches 
have been proposed. Here we follow a fairly conventional Pomeron-based 
one, in the Ingelman-Schlein spirit [Ing85], 
but integrated to make full use of the standard PYTHIA machinery 
for multiparton interactions, parton showers and hadronization 
[Nav10,Cor10a]. This is the approach pioneered in the PomPyt 
program by Ingelman and collaborators [Ing97]. 
 

           
For ease of use (and of modelling), the Pomeron-specific parts of the 
generation are subdivided into three sets of parameters that are rather 
independent of each other: 

          (i) the total, elastic and diffractive cross sections are 
parametrized as functions of the CM energy, or can be set by the user 
to the desired values, see the 
";?>Total Cross Sections page; 

          (ii) once it has been decided to have a diffractive process, 
a Pomeron flux parametrization is used to pick the mass of the 
diffractive system(s) and the t of the exchanged Pomeron, 
see below; 

          (iii) a diffractive system of a given mass is classified either 
as low-mass unresolved, which gives a simple low-pT string 
topology, or as high-mass resolved, for which the full machinery of 
multiparton interactions and parton showers are applied, making use of 
";?>Pomeron PDFs. 

          The parameters related to multiparton interactions, parton showers 
and hadronization are kept the same as for normal nondiffractive events, 
with only one exception. This may be questioned, especially for the 
multiparton interactions, but we do not believe that there are currently 
enough good diffractive data that would allow detailed separate tunes. 
  

           
The above subdivision may not represent the way "physics comes about". 
For instance, the total diffractive cross section can be viewed as a 
convolution of a Pomeron flux with a Pomeron-proton total cross section. 
Since neither of the two is known from first principles there will be 
a significant amount of ambiguity in the flux factor. The picture is 
further complicated by the fact that the possibility of simultaneous 
further multiparton interactions ("cut Pomerons") will screen the rate of 
diffractive systems. In the end, our set of parameters refers to the 
effective description that emerges out of these effects, rather than 
to the underlying "bare" parameters. 
  

           
In the event record the diffractive system in the case of an excited 
proton is denoted p_diffr, code 9902210, whereas 
a central diffractive system is denoted rho_diffr, 
code 9900110. Apart from representing the correct charge and baryon 
numbers, no deeper meaning should be attributed to the names. 
 

          Pomeron flux
           
 
As already mentioned above, the total diffractive cross section is fixed 
by a default energy-dependent parametrization or by the user, see the 
";?>Total Cross Sections page. 
Therefore we do not attribute any significance to the absolute 
normalization of the Pomeron flux. The choice of Pomeron flux model 
still will decide on the mass spectrum of diffractive states and the 
t spectrum of the Pomeron exchange. 
 


          Diffraction:PomFlux      (default = 1; minimum = 1; maximum = 5)
          
Parametrization of the Pomeron flux f_Pom/p( x_Pom, t). 

          
1 : Schuler and Sjöstrand Sch94: based on a  critical Pomeron, giving a mass spectrum roughly like dm^2/m^2;  a mass-dependent exponential t slope that reduces the rate  of low-mass states; partly compensated by a very-low-mass (resonance region)  enhancement. Is currently the only one that contains a separate  t spectrum for double diffraction (along with MBR) and  separate parameters for pion beams.
          
2 : Bruni and Ingelman Bru93: also a critical  Pomeron giving close to dm^2/m^2,  with a t distribution  the sum of two exponentials. The original model only covers single  diffraction, but is here expanded by analogy to double and central  diffraction.
          
3 : a conventional Pomeron description, in the RapGap  manual Jun95 attributed to Berger et al. and Streng  Ber87a, but there (and here) with values updated to a  supercritical Pomeron with epsilon > 0 (see below),  which gives a stronger peaking towards low-mass diffractive states,  and with a mass-dependent (the alpha' below) exponential  t slope. The original model only covers single diffraction,  but is here expanded by analogy to double and central diffraction.  
          
4 : a conventional Pomeron description, attributed to  Donnachie and Landshoff Don84, again with supercritical Pomeron,  with the same two parameters as option 3 above, but this time with a  power-law t distribution. The original model only covers single  diffraction, but is here expanded by analogy to double and central  diffraction.
          
5 :  the MBR (Minimum Bias Rockefeller) simulation of  (anti)proton-proton interactions Cie12. The event  generation follows a renormalized-Regge-theory model, successfully tested  using CDF data. The simulation includes single and double diffraction,  as well as the central diffractive (double-Pomeron exchange) process (106).  Only p p, pbar p and p pbar beam combinations  are allowed for this option. Several parameters of this model are listed  below. 
          
 

           
In options 3 and 4 above, the Pomeron Regge trajectory is 
parametrized as 

           
alpha(t) = 1 + epsilon + alpha' t 

           
The epsilon and alpha' parameters can be set 
separately: 
 


          Diffraction:PomFluxEpsilon      (default = 0.085; minimum = 0.02; maximum = 0.15)
          
The Pomeron trajectory intercept epsilon above. For technical 
reasons epsilon > 0 is necessary in the current implementation. 
 


          Diffraction:PomFluxAlphaPrime      (default = 0.25; minimum = 0.1; maximum = 0.4)
          
The Pomeron trajectory slope alpha' above. 
 

           
When option 5 is selected, the following parameters of the MBR model 
[Cie12] are used: 
 


          Diffraction:MBRepsilon      (default = 0.104; minimum = 0.02; maximum = 0.15)
          


          Diffraction:MBRalpha      (default = 0.25; minimum = 0.1; maximum = 0.4)
          
the parameters of the Pomeron trajectory. 
   
 


          Diffraction:MBRbeta0      (default = 6.566; minimum = 0.0; maximum = 10.0)
          


          Diffraction:MBRsigma0      (default = 2.82; minimum = 0.0; maximum = 5.0)
          
the Pomeron-proton coupling, and the total Pomeron-proton cross section. 
   
 


          Diffraction:MBRm2Min      (default = 1.5; minimum = 0.0; maximum = 3.0)
          
the lowest value of the mass squared of the dissociated system. 
   



          Diffraction:MBRdyminSDflux      (default = 2.3; minimum = 0.0; maximum = 5.0)
          


          Diffraction:MBRdyminDDflux      (default = 2.3; minimum = 0.0; maximum = 5.0)
          


          Diffraction:MBRdyminCDflux      (default = 2.3; minimum = 0.0; maximum = 5.0)
          
the minimum width of the rapidity gap used in the calculation of 
Ngap(s) (flux renormalization). 
   
 


          Diffraction:MBRdyminSD      (default = 2.0; minimum = 0.0; maximum = 5.0)
          


          Diffraction:MBRdyminDD      (default = 2.0; minimum = 0.0; maximum = 5.0)
          


          Diffraction:MBRdyminCD      (default = 2.0; minimum = 0.0; maximum = 5.0)
          
the minimum width of the rapidity gap used in the calculation of cross 
sections, i.e. the parameter dy_S, which suppresses the cross 
section at low dy (non-diffractive region). 
   
 


          Diffraction:MBRdyminSigSD      (default = 0.5; minimum = 0.001; maximum = 5.0)
          


          Diffraction:MBRdyminSigDD      (default = 0.5; minimum = 0.001; maximum = 5.0)
          


          Diffraction:MBRdyminSigCD      (default = 0.5; minimum = 0.001; maximum = 5.0)
          
the parameter sigma_S, used for the cross section suppression at 
low dy (non-diffractive region). 
   
 

          Separation into low and high masses
           
 
Preferably one would want to have a perturbative picture of the 
dynamics of Pomeron-proton collisions, like multiparton interactions 
provide for proton-proton ones. However, while PYTHIA by default 
will only allow collisions with a CM energy above 10 GeV, the 
mass spectrum of diffractive systems will stretch to down to 
the order of 1.2 GeV. It would not be feasible to attempt a 
perturbative description there. Therefore we do offer a simpler 
low-mass description, with only longitudinally stretched strings, 
with a gradual switch-over to the perturbative picture for higher 
masses. The probability for the latter picture is parametrized as 

           
P_pert = P_max ( 1 - exp( (m_diffr - m_min) / m_width ) ) 

           
which vanishes for the diffractive system mass 
m_diffr < m_min, and is 1 - 1/e = 0.632 for 
m_diffr = m_min + m_width, assuming P_max = 1. 
 


          Diffraction:mMinPert      (default = 10.; minimum = 5.)
          
The abovementioned threshold mass m_min for phasing in a 
perturbative treatment. If you put this parameter to be bigger than 
the CM energy then there will be no perturbative description at all, 
but only the older low-pt description. 
   
 


          Diffraction:mWidthPert      (default = 10.; minimum = 0.)
          
The abovementioned threshold width m_width. 
   
 


          Diffraction:probMaxPert      (default = 1.; minimum = 0.; maximum = 1.)
          
The abovementioned maximum probability P_max.. Would 
normally be assumed to be unity, but a somewhat lower value could 
be used to represent a small nonperturbative component also at 
high diffractive masses. 
   
 

          Low-mass diffraction
           
 
When an incoming hadron beam is diffractively excited, it is modeled 
as if either a valence quark or a gluon is kicked out from the hadron. 
In the former case this produces a simple string to the leftover 
remnant, in the latter it gives a hairpin arrangement where a string 
is stretched from one quark in the remnant, via the gluon, back to the 
rest of the remnant. The latter ought to dominate at higher mass of 
the diffractive system. Therefore an approximate behaviour like 

           
P_q / P_g = N / m^p 

           
is assumed. 
 


          Diffraction:pickQuarkNorm      (default = 5.0; minimum = 0.)
          
The abovementioned normalization N for the relative quark 
rate in diffractive systems. 
   
 


          Diffraction:pickQuarkPower      (default = 1.0)
          
The abovementioned mass-dependence power p for the relative 
quark rate in diffractive systems. 
   
 

           
When a gluon is kicked out from the hadron, the longitudinal momentum 
sharing between the the two remnant partons is determined by the 
same parameters as above. It is plausible that the primordial 
kT may be lower than in perturbative processes, however: 
 


          Diffraction:primKTwidth      (default = 0.5; minimum = 0.)
          
The width of Gaussian distributions in p_x and p_y 
separately that is assigned as a primordial kT to the two 
beam remnants when a gluon is kicked out of a diffractive system. 
   
 


          Diffraction:largeMassSuppress      (default = 2.; minimum = 0.)
          
The choice of longitudinal and transverse structure of a diffractive 
beam remnant for a kicked-out gluon implies a remnant mass 
m_rem distribution (i.e. quark plus diquark invariant mass 
for a baryon beam) that knows no bounds. A suppression like 
(1 - m_rem^2 / m_diff^2)^p is therefore introduced, where 
p is the diffLargeMassSuppress parameter. 
   
 

          High-mass diffraction
           
 
The perturbative description need to use parton densities of the 
Pomeron. The options are described in the page on 
";?>PDF Selection. The standard 
perturbative multiparton interactions framework then provides 
cross sections for parton-parton interactions. In order to 
turn these cross section into probabilities one also needs an 
ansatz for the Pomeron-proton total cross section. In the literature 
one often finds low numbers for this, of the order of 2 mb. 
These, if taken at face value, would give way too much activity 
per event. There are ways to tame this, e.g. by a larger pT0 
than in the normal pp framework. Actually, there are many reasons 
to use a completely different set of parameters for MPI in 
diffraction than in pp collisions, especially with respect to the 
impact-parameter picture, see below. A lower number in some frameworks 
could alternatively be regarded as a consequence of screening, with 
a larger "bare" number. 
 

           
For now, however, an attempt at the most general solution would 
carry too far, and instead we patch up the problem by using a 
larger Pomeron-proton total cross section, such that average 
activity makes more sense. This should be viewed as the main 
tunable parameter in the description of high-mass diffraction. 
It is to be fitted to diffractive event-shape data such as the average 
charged multiplicity. It would be very closely tied to the choice of 
Pomeron PDF; we remind that some of these add up to less than unit 
momentum sum in the Pomeron, a choice that also affect the value 
one ends up with. Furthermore, like with hadronic cross sections, 
it is quite plausible that the Pomeron-proton cross section increases 
with energy, so we have allowed for a power-like dependence on the 
diffractive mass. 
 


          Diffraction:sigmaRefPomP      (default = 10.; minimum = 2.; maximum = 40.)
          
The assumed Pomeron-proton effective cross section, as used for 
multiparton interactions in diffractive systems. If this cross section 
is made to depend on the mass of the diffractive system then the above 
value refers to the cross section at the reference scale, and 

           
sigma_PomP(m) = sigma_PomP(m_ref) * (m / m_ref)^p 

           
where m is the mass of the diffractive system, m_ref 
is the reference mass scale Diffraction:mRefPomP below and 
p is the mass-dependence power Diffraction:mPowPomP. 
Note that a larger cross section value gives less MPI activity per event. 
There is no point in making the cross section too big, however, since 
then pT0 will be adjusted downwards to ensure that the 
integrated perturbative cross section stays above this assumed total 
cross section. (The requirement of at least one perturbative interaction 
per event.) 
   
 


          Diffraction:mRefPomP      (default = 100.0; minimum = 1.)
          
The mRef reference mass scale introduced above. 
   
 


          Diffraction:mPowPomP      (default = 0.0; minimum = 0.0; maximum = 0.5)
          
The p mass rescaling pace introduced above. 
   
 

           
Also note that, even for a fixed CM energy of events, the diffractive 
subsystem will range from the abovementioned threshold mass 
m_min to the full CM energy, with a variation of parameters 
such as pT0 along this mass range. Therefore multiparton 
interactions are initialized for a few different diffractive masses, 
currently five, and all relevant parameters are interpolated between 
them to obtain the behaviour at a specific diffractive mass. 
Furthermore, A B → X B and A B → A X are 
initialized separately, to allow for different beams or PDF's on the 
two sides. These two aspects mean that initialization of MPI is 
appreciably slower when perturbative high-mass diffraction is allowed. 
 

           
Diffraction tends to be peripheral, i.e. occur at intermediate impact 
parameter for the two protons. That aspect is implicit in the selection 
of diffractive cross section. For the simulation of the Pomeron-proton 
subcollision it is the impact-parameter distribution of that particular 
subsystem that should rather be modeled. That is, it also involves 
the transverse coordinate space of a Pomeron wavefunction. The outcome 
of the convolution therefore could be a different shape than for 
nondiffractive events. For simplicity we allow the same kind of 
options as for nondiffractive events, except that the 
bProfile = 4 option for now is not implemented. 
 


          Diffraction:bProfile      (default = 1; minimum = 0; maximum = 3)
          
Choice of impact parameter profile for the incoming hadron beams. 

          
0 : 
          
1 : a simple Gaussian matter distribution;  no free parameters.
          
2 : a double Gaussian matter distribution,  with the two free parameters coreRadius and  coreFraction.
          
3 : an overlap function, i.e. the convolution of  the matter distributions of the two incoming hadrons, of the form  exp(- b^expPow), where expPow is a free  parameter.
          
 


          Diffraction:coreRadius      (default = 0.4; minimum = 0.1; maximum = 1.)
          
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a radius that is a factor 
coreRadius smaller than the rest. 
   
 


          Diffraction:coreFraction      (default = 0.5; minimum = 0.; maximum = 1.)
          
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a fraction coreFraction 
of the matter content of the hadron. 
   
 


          Diffraction:expPow      (default = 1.; minimum = 0.4; maximum = 10.)
          
When bProfile = 3 it gives the power of the assumed overlap 
shape exp(- b^expPow). Default corresponds to a simple 
exponential drop, which is not too dissimilar from the overlap 
obtained with the standard double Gaussian parameters. For 
expPow = 2 we reduce to the simple Gaussian, bProfile = 1, 
and for expPow → infinity to no impact parameter dependence 
at all, bProfile = 0. For small expPow the program 
becomes slow and unstable, so the min limit must be respected. 
   
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/UMEPSMerging.php0000644000175000017500000002662212357553536016555 0ustar  sunsun 


UMEPS Merging






SETTINGS SAVED TO FILE

          "; }
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          "; }
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?>


          
 

          Unitarised Matrix Element + Parton Shower Merging
           
 
Pythia offers the possibility to use the unitarised matrix element + parton 
shower merging scheme, as presented in [Lon12]. Unitarised ME+PS 
merging (UMEPS) allows for a consistent inclusion of tree-level multi-parton 
matrix elements into Pythia, and prevents potential changes in the inclusive 
production cross section. This makes it theoretically more appealing than 
CKKW-L merging. As in CKKW-L, UMEPS merging requires the user to supply Les 
Houches Event File input. 
 

           
UMEPS is different from other tree-level merging schemes in that it contains 
events with negative weights. These are generated by constructing 
parts of no-emission probabilities by reweighted higher-multiplicity 
samples [Lon12]. The main philosophy of UMEPS is "subtract what you 
add", meaning that in order to ensure the stability of the inclusive cross 
section, one has to counter the inclusion of additional tree-level matrix 
elements by "subtraction terms". 
 

           The scheme closely reflects how unitarity 
is achieved in a non-merged shower, and indeed explicitly enforces the 
cancellations that are implicitly happening in a non-merged shower. This makes 
very low merging scale values possible. 
 

           
The usage of UMEPS is illustrated in the sample main program 
main86.cc, together with the input file 
main86.cmnd. 
 

           
Unitarised merging is heavily indebted to CKKW-L merging, and shares many 
settings with CKKW-L. In particular, 

           
          The hard process 
(Merging:Process)needs to be defined 
exactly as in CKKW-L (see Defining the hard process in the 
";?>CKKW-L documentation). 

           
          The merging scale value 
(Merging:TMS) has to be set. 

           
          The maximal number of additional partons 
Merging:nJetMax has to be set. 
 

           
UMEPS further shares the switches listed under the sections "Matrix 
element merging and HepMC output for RIVET" and "Further 
variables" in  the ";?>CKKW-L 
documentation with CKKW-L merging. Also, all 
MergingHooks routines that allow for user interference in 
CKKW-L merging are also usable for UMEPS -- with the exception of a 
user-defined merging scale. 
Currently, UMEPS is only implemented for a merging scale defined 
by the minimal Pythia evolution pT value between sets of radiator, emitted 
and recoiler partons. This is no fundamental limitation of the method, and 
will possibly be lifted in the future. Since this merging scale definition is 
not completely obvious, UMEPS also shares the 
Merging:enforceCutOnLHE switch with CKKW-L. In this way, it 
is possible to use LHE files that are regularised only with weak cuts as 
input, while the merging machinery imposes the stronger merging scale cut 
automatically. This means that no merging scale implementation is required 
from the user side, but also means that it is the user's responsibility to 
ensure that the cuts used for generating input LHE files are always looser 
than the cut given by the merging scale value Merging:TMS. 
 


           

          UMEPS merging with main86.cc
           
 
The UMEPS procedure is illustrated in the sample main program 
main86.cc (with the input card main86.cmnd). This 
program produces HepMC events [Dob01], that can be histogrammed (e.g. 
using RIVET [Buc10]), or used as input for a detector simulation. If 
the user is not familiar with HepMC analysis tools, it is possible to instead 
use Pythia's histogramming routines. For this, remove the lines referring to 
HepMC, and histogram events as illustrated (for CKKW-L) for the histogram 
histPTFirstSum in main84.cc, i.e. using 
weight*normhepmc as weight. 
 

           
In principle, no changes to main86.cc are necessary. Instead, all 
settings can be transferred to main86.cc through an input file. 
The input LHE files are also part of the (command line) input of 
main86.cc. Note  that the sample program assumes that LHE file 
names are of the form name_tree_#nAdditionalJets.lhe. If you want to 
e.g. use the LHE files that are shipped with the Pythia distribution, you can 
execute main86.exe with the command 

           
./main86.exe ./main86.cmnd ./w_production ./myhepmc.hepmc 

           
 
Since main86.cc is currently the "front-end" for UMEPS merging, 
we will briefly discuss this sample program in the following. 
 

          Inputs
           
 
In its current form, main86.cc uses separate tree-level LHE files 
for different numbers of additional partons as input. If e.g. UMEPS merging 
for W-boson + up to two additional partons is to be performed, three LHE files 
(for W+zero, W+one, W+two partons) are required. The configurations in the 
input files should be regularised with inclusive (i.e. weak) cuts. The actual 
"merging scale cut" will be handled internally. If e.g. 
Merging:TMS = 15 is the desired merging scale value, 
it is acceptable 
to regularise the matrix element calculation for Higgs+jets events at the LHC 
with the loose cuts pTjet = 5 GeV, 
 ΔRjetA jetB = 0.01 and 
 QjetA jetB = 5 GeV. 
 

           
All input settings are handed to main86.cc in the form of an 
input file. This input file has to contain 

           
          The number of desired events 
(Main:numberOfEvents) 

           
          The hard process 
(Merging:Process) 

           
          The merging scale value 
(Merging:TMS) 

           
          The maximal number of additional partons 
(Merging:nJetMax). 
 

           
Other settings are of course allowed. However, please refrain from adding 
switches that are used to invoke other merging schemes (e.g. 
Merging:doKTMerging) into the input file, since this can 
cause problems. 
 
 

          Program flow
           
 
The sample program starts by estimating the cross section for samples with 
different jet multiplicities. For this, the switch 
Merging:doXSectionEstimate is invoked together with the merging 
scale definition of Merging:doUMEPSTree, which corresponds to the 
minimal Pythia evolution pT value. We will come back to the latter switch 
below. All showering, multiparton interactions and hadronisation is, for speed 
reasons, switched off when estimating the cross section, since the hard cross 
section estimate would not be influenced by the event evolution anyway. 
 

           
After the hard cross sections are known (including the application of the 
merging scale cut), the first part of the UMEPS events is generated by 
using the following switch. 
 


          Merging:doUMEPSTree  On
Off
   (default = off)
          
Reweight events according to the UMEPS prescription for tree-level 
configurations. 
   
 

           
The weight generated by the UMEPS procedure can be accessed by using the 
function  double Info::mergingWeight(). 
When printing (or histogramming) merged events, this weight, multiplied 
with the estimated cross section for the current sample, should be 
used as event weight (or to fill histogram bins). 
 

           
After this first part is complete, the outcome is an addition of reweighted 
tree-level samples. To restore the inclusive cross section (i.e. that the 
cross section after merging corresponds to the cross section of the hard 
process, without any additional jets), it is necessary to subtract samples. 
Parton shower unitarity leads to the conclusion that "resolved" and 
"unresolved" corrections always cancel between states that contain an 
additional resolved jet, and states in which we "integrate over" the phase 
space of the additional jet. 
main86.cc makes this cancellation explicit by producing 
(correctly weighted) counter events by switching on 
 


          Merging:doUMEPSSubt  On
Off
   (default = off)
          
Reweight events according to the UMEPS prescription of reweighted, 
integrated configurations. Please note that, in order for this to work 
smoothly, the switch Merging:doUMEPSTree has to be turned off. 
   
 

           The integration is achieved internally, and the number of desired 
integrations (which is always one for UMEPS counter events) is set by 
 


          Merging:nRecluster       (default = 0; minimum = 0)
          
Number of hard partons to integrate out in the UMEPS procedure. 
   
 

           Again, the weight generated by the UMEPS procedure can be accessed by 
using the function  double Info::mergingWeight(). This 
weight, multiplied with the cross section of the current sample, and 
multiplied by -1, should then be used as event weight (or to fill 
histogram bins). 
 

           
Before returning, main86.cc prints the merged cross section 
after UMEPS merging. 
 
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/files/0000755000175000017500000000000012357054750014726 5ustar  sunsunpythia8-8.1.86.orig/phpdoc/PhaseSpaceCuts.php0000644000175000017500000006050412357553536017223 0ustar  sunsun

Phase Space Cuts






SETTINGS SAVED TO FILE

          "; }
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          "; }
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?>


          
 

          Phase Space Cuts
           
 
PhaseSpace is base class for all hard-process phase-space 
generators, either generic 2 → 1 or 2 → 2 ones, 
or specialized ones like for elastic and diffractive scattering. 
 

           
In it, it is possible to constrain the kinematics of most processes. 
(Exceptions are "soft physics", i.e. minimum bias, elastic and 
diffractive processes. The Coulomb singularity for elastic scatterings, 
if simulated, is ";?>handled separately.) 
These constraints apply in the rest frame of the hard subprocess, and 
topologies normally would be changed e.g. by subsequent showering 
activity. The cross section of a process is adjusted to only 
correspond to the allowed phase space. 
 

           
The more particles in the final state, the more cuts could be applied. 
Here we have tried to remain with the useful minimum, however. More 
generic possibilities could be handled by the 
";?>user hooks facility. 
 

          Cuts in all processes
           
 


          PhaseSpace:mHatMin      (default = 4.; minimum = 0.)
          
The minimum invariant mass. 
   
 


          PhaseSpace:mHatMax      (default = -1.)
          
The maximum invariant mass. 
A value below mHatMin means there is no upper limit. 
   
 

          Cuts in 2 → 1 processes
           
 
When a resonance id is produced, the 
";?>mMin(id) and 
";?>mMax(id) 
methods restrict the allowed mass range 
of this resonance. Therefore the allowed range is chosen to be the 
overlap of this range and the mHatMin to 
mHatMax range above. Most resonances by default have no 
upper mass limit, so effects mainly concern the lower limit. 
Should there be no overlap between the two ranges then the process 
will be switched off. 
 

          Cuts in 2 → 2 processes
           
 


          PhaseSpace:pTHatMin      (default = 0.; minimum = 0.)
          
The minimum invariant pT. 
   
 


          PhaseSpace:pTHatMax      (default = -1.)
          
The maximum invariant pT. 
A value below pTHatMin means there is no upper limit. 
   
 


          PhaseSpace:pTHatMinDiverge      (default = 1.; minimum = 0.5)
          
Extra pT cut to avoid the divergences of some processes 
in the limit pT → 0. Specifically, if either or both 
produced particles have a mass below pTHatMinDiverge 
then pT is limited from below by the larger of 
pTHatMin and pTHatMinDiverge. 
   
 


          PhaseSpace:useBreitWigners  On
Off
   (default = on)
          
Allows masses to be selected according to Breit-Wigner shapes in 
2 → 2 processes, whenever particles have been declared 
with a nonvanishing width above the threshold below. In those cases 
also the limits below will be used for the mass selection. For 
2 → 1 processes the Breit-Wigner shape is part of the 
cross section itself, and therefore always included. 
   
 


          PhaseSpace:minWidthBreitWigners      (default = 0.01; minimum = 1e-6)
          
The minimum width a resonance must have for the mass to be dynamically 
selected according to a Breit-Wigner shape, within the limits set below. 
Only applies when useBreitWigners is on; else the nominal 
mass value is always used. 
   
 

           
For a particle with a Breit-Wigner shape selected, according to the 
rules above and to the rules of the particle species itself, the 
";?>mMin(id) and 
";?>mMax(id) 
methods restrict the allowed mass range of the particle, just like for 
the 2 → 1  processes. 
 

          Cuts in 2 → 3 processes
           
 
There are two main classes of 2 → 3 processes. One is the 
processes such as WW/ZZ-fusion Higgs production, i.e. 
q q → q q H, where there are no special singularities 
associated with two partons in the final state being collinear, 
or even for pT → 0. For this class, no further cuts 
have been introduced than those already available for 2 → 2 
processes. Specifically, for now all three are restricted exactly the 
same way by pTHatMin and pTHatMax. As above, 
Breit-Wigner mass ranges can be restricted. 
 

           
The other 2 → 3 event class is QCD processes, such as 
g g → g g g. Here the soft and collinear singularities 
play a major role, and the phase space generation and cuts have 
been adapted to this. For this class, an alternative set of cuts 
is used, as outlined in the following. First of all the three 
outgoing partons are ordered in falling pT, i.e. 
pT_3 > pT_4 > pT_5 (where the labeling 3, 4, 5 of the outgoing 
partons is random, i.e. unrelated to the order specified in the 
process name). The allowed ranges of pT_3 and pT_5 
can be specified, but obviously pT_3max >= pT_5max and 
pT_3min >= pT_5min. The pT_4 is not constrained 
explicitly, but is constructed from the vector sum of pT_3 
and pT_5, subject to the constraint that it has to lie 
between the two in magnitude. While the pT cuts take care 
of singularities collinear with the incoming beams, it is also 
necessary to handle final-state singularities, when two outgoing 
partons become collinear. This is done by requiring a minimal 
separation in R, where 
R^2 = (Delta eta)^2 + (Delta phi)^2. 
Finally, a note about efficiency. The QCD 2 → 3 phase space 
is not set up to explicitly include mHat as one of the basic 
variables. Such a cut is only done after a phase space point is already 
selected, which means that a narrow mass choice will slow down the 
program appreciably. Also narrow pT_3 and pT_5 bins 
are likely to give inefficient generation, if it gives rise to 
significant indirect restrictions on pT_4. 
 


          PhaseSpace:pTHat3Min      (default = 10.; minimum = 0.)
          
The minimum invariant pT of the highest-pT parton in 
QCD 2 → 3 processes. 
   
 


          PhaseSpace:pTHat3Max      (default = -1.)
          
The maximum invariant pT of the highest-pT parton in 
QCD 2 → 3 processes 
A value below pTHat3Min means there is no upper limit. 
   
 


          PhaseSpace:pTHat5Min      (default = 10.; minimum = 0.)
          
The minimum invariant pT of the lowest-pT parton in 
QCD 2 → 3 processes. 
   
 


          PhaseSpace:pTHat5Max      (default = -1.)
          
The maximum invariant pT of the lowest-pT parton in 
QCD 2 → 3 processes 
A value below pTHat5Min means there is no upper limit. 
   
 


          PhaseSpace:RsepMin      (default = 1.)
          
The minimum separation R in (eta, phi) space between 
any two outgoing partons in QCD 2 → 3 processes. 
   
 
 

          Cuts for a second hard process
           
 
If you use the machinery that allows the generation of a specified 
";?>second hard process then, 
by default, the same phase space cuts will be used for it as listed 
above. Optionally, however, you may use a second set of cuts, as 
described here. In this context "first" and "second" is merely a 
technical distinction; you are welcome e.g. to pick pT ranges 
such that the second interaction always has a larger pT than 
the first. 
 


          PhaseSpace:sameForSecond  On
Off
   (default = on)
          
By default use the same cuts for a second hard process as for the 
first. If off then instead use the mass and pT 
cuts below, where relevant. (The other cuts above still remain the same.) 
   
 


          PhaseSpace:mHatMinSecond      (default = 4.; minimum = 0.)
          
The minimum invariant mass for a second interaction, if separate. 
   
 


          PhaseSpace:mHatMaxSecond      (default = -1.)
          
The maximum invariant mass for a second interaction, if separate. 
A value below mHatMin means there is no upper limit. 
   
 


          PhaseSpace:pTHatMinSecond      (default = 0.; minimum = 0.)
          
The minimum invariant pT for a second interaction, if separate. 
   
 


          PhaseSpace:pTHatMaxSecond      (default = -1.)
          
The maximum invariant pT for a second interaction, if separate. 
A value below pTHatMin means there is no upper limit. 
   
 

          Generation strategy and documentation
           
 
During the initialization stage a simplified function is found, 
that is intended to be above the true cross-section behaviour 
over the whole of phase space. It is chosen to be easily integrable 
and invertible. That way a trial phase space point can be selected 
according this simple function, and then be accepted by the ratio of 
true to the simple function. For a good efficiency the ratio should be 
close to unity,  yet never above it. This constrains the absolute 
normalization of the simple function. The initial search may fail to 
find the phase space point where the true-to-simple ratio is maximal, 
however. This then can lead to subsequent maximum violations, where the 
ratio is above unity. Two alternative strategies are implemented to 
handle such situations, see below. 
 


          PhaseSpace:showSearch  On
Off
   (default = off)
          
Possibility to print information on the search for phase-space 
coefficients that (in a multichannel approach) provides an analytical 
upper envelope of the differential cross section, and the 
corresponding upper estimate of the cross section. Of interest 
for crosschecks by expert users only. 
   
 


          PhaseSpace:showViolation  On
Off
   (default = off)
          
Possibility to print information whenever the assumed maximum 
differential cross section of a process is violated, i.e. when 
the initial maximization procedure did not find the true maximum. 
Also, should negative cross sections occur, print whenever a more 
negative value is encountered. 
   
 


          PhaseSpace:increaseMaximum  On
Off
   (default = off)
          
Strategy for handling cases where a larger cross section is 
obtained during the event generation than was assumed at initialization, 
i.e. when a violation occurs. 

          off:each event comes with a weight, which normally is unity 
(as a consequence of the acceptance/rejection step), and is found in 
";?>Info::weight(). 
For events which exceed the maximum instead the true-to-simple ratio 
is stored as event weight, which then is above unity. If the user so 
wishes this weight can then be carried along when event properties are 
histogrammed. Since normally such violations should be rare and not 
too much above unity one could expect most users to ignore such issues 
be default. Should maximum violations turn out to be frequent (visible 
in the ";?>Pythia::statistics() 
output) the option exists to use the information. 

          on:the maximum is increased whenever it is exceeded. Thus 
events generated after this point will be "correctly" distributed, 
while ones generated previously obviously then have had too high a 
relative weight. If violations occur early on and/or are small this 
strategy should do a good job of correcting to the desired phase-space 
distribution. This strategy may be more convenient for the normal user, 
who would not wish to worry about event weights. It does have the 
disadvantage that the raised maximum introduces an extra amount of 
"history memory" to the generation sequence, so that it becomes less 
easy to save-and-restore the ";?>random-number 
state for debugging purposes. 
   
 

          Reweighting of 2 → 2 processes
           
 
Events normally come with unit weight, i.e. are distributed across 
the allowed phase space region according to the appropriate differential 
cross sections. Sometimes it may be convenient to have an uneven 
distribution of events. The classical example here is that many cross 
sections drop off with transverse momentum pT, such that few 
events are generated at large pT scales. If one wants to 
plot the pT cross section, and all that comes with it, the 
statistical error will then degrade with increasing pT 
where fewer events end up. 
 

           
One solution is to split the full pT range into several 
separate subranges, where the events of each subsample obtains a 
different overall normalization. Specifically, if you generate a 
comparable number of events in each pT bin, such that 
larger pT bins are oversampled, these bins come with a 
correspondingly reduced overall weight, that needs to be taken into 
account when the bins are combined. The other is to have a continuously 
increasing oversampling of events at larger pT scales, which 
is compensated by a continuously decreasing weight for the event. 
 

           
Both of these solutions are supported. Specifically, for 
2 → 2 processes, the pTHat scale offers a 
convenient classification of the event. (Of course, two events 
starting out from the same pTHat scale will experience 
different parton shower evolutions, etc., and may therefore look 
quite different at the end.) The two cuts 
PhaseSpace:pTHatMin and PhaseSpace:pTHatMax 
therefore offers a way to slice a pT range into subranges, 
see e.g. main08.cc. Alternatively the 
";?>User Hooks machinery offers the 
possibility for you to define your own reweighting of phase space 
sampling, with a corresponding event weight, with 
UserHooks::canBiasSelection and related methods. 
 

           
As a simplified option, we here offer the possibility to bias the 
2 → 2 sampling by a power of pTHat, then with 
events having a weight the inverse of this. This fast track will only 
work under a number of strict conditions, implemented to reduce the 
risk of abuse. (Whereas a UserHooks setup can be more 
flexible.) Specifically it will work if only high-pT 
2 → 2 processes already implemented in PYTHIA are requested, 
notably the HardQCD ones. That is, you cannot mix with 
2 → 1 or 2 → 3 processes, nor with external 
processes (notably Les Houches input) or SoftQCD ones, 
and  you cannot use the option to define a 
";?>second hard process in 
the same event. Furthermore you have to be careful about the choice 
of PhaseSpace:pTHatMin, since a pTHat = 0 
event would come with an infinite weight. 
 


          PhaseSpace:bias2Selection  On
Off
   (default = off)
          
Possibility to switch on a biased phase space sampling, 
with compensatingly weighted events, for 2 → 2 processes. 
Can only be used under the specific conditions explained in 
the paragraph above; under other conditions the initialization 
will abort. 
   
 


          PhaseSpace:bias2SelectionPow      (default = 4.; minimum = 0.; maximum = 10.)
          
If the above flag is on, then a 2 → 2 process at a scale 
pTHat will be oversampled in phase space by an amount 
(pTHat/pTRef)^pow, where you set the power pow 
here. Events are assigned a compensating 
";?>weight the inverse of this, 
i.e. Info::weight() will return (pTRef/pTHat)^pow. 
This weight should then be used in the histogramming of event properties. 
The final overall normalization also involves the 
Info::weightSum() value. 
   
 


          PhaseSpace:bias2SelectionRef      (default = 10.; minimum = 1.)
          
The reference scale pTRef introduced above, such that events 
with this pTHat obtain unit weight in the reweighting procedure. 
The value of this parameter has no impact on the final result of the 
reweighting procedure, but is only there for convenience, i.e. to 
give "reasonably-sized" weights. 
   
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/HiddenValleyProcesses.php0000644000175000017500000010667612357553536020622 0ustar  sunsun

Hidden Valley Processes






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
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?>


          
 

          Hidden Valley Processes
           
 
This Hidden Valley (HV) scenario has been developed specifically 
to allow the study of visible consequences of radiation in a 
hidden sector, by recoil effect. A key aspect is therefore that 
the normal timelike showering machinery has been expanded with a 
third kind of radiation, in addition to the QCD and QED ones. 
These three kinds of radiation are fully interleaved, i.e. 
evolution occurs in a common pT-ordered sequence. 
The scenario is described in [Car10]. Furthermore 
hadronization in the hidden sector has been implemented. 
Three main scenarios for production into and decay out of the 
hidden sector can be compared, in each case either for an 
Abelian or a non-Abelian gauge group in the HV. For further details 
see [Car11]. 
 

          Particle content and properties
           
 
For simplicity we assume that the HV contains an unbroken SU(N) 
gauge symmetry. This is used in the calculation of production cross 
sections. These could be rescaled by hand for other gauge groups. 
  


          HiddenValley:Ngauge       (default = 3; minimum = 1)
          
is U(1) for Ngauge = 1, is SU(N) if 
Ngauge > 1. Note that pair production cross sections 
contains a factor of Ngauge for new particles 
in the fundamental representation of this group. 
   
 

           
A minimal HV particle content has been introduced. Firstly, there is 
a set of 12 particles that mirrors the Standard Model flavour 
structure, and is charged under both the SM and the HV symmetry groups. 
Each new particle couples flavour-diagonally to a corresponding SM 
state, and has the same SM charge and colour, but in addition is in 
the fundamental representation of the HV colour, as follows: 

          Dv, identity 4900001, partner to the normal 
d quark; 

          Uv, identity 4900002, partner to the normal 
u quark; 

          Sv, identity 4900003, partner to the normal 
s quark; 

          Cv, identity 4900004, partner to the normal 
c quark; 

          Bv, identity 4900005, partner to the normal 
b quark; 

          Tv, identity 4900006, partner to the normal 
t quark; 

          Ev, identity 4900011, partner to the normal 
e lepton; 

          nuEv, identity 4900012, partner to the normal 
nue neutrino; 

          MUv, identity 4900013, partner to the normal 
mu lepton; 

          nuMUv, identity 4900014, partner to the normal 
numu neutrino; 

          TAUv, identity 4900015, partner to the normal 
tau lepton; 

          nuTAUv, identity 4900016, partner to the normal 
nutau neutrino. 

          Collectively we will refer to these states as Fv; 
note, however, that they need not be fermions themselves. 
 

           
In addition the model contains the HV gauge particle, either 
a HV-gluon or a HV-photon, but not both; see Ngauge 
above: 

          gv, identity 4900021, is the massless 
gauge boson of the HV SU(N) group; 

          gammav, identity 4900022,  is the massless 
gauge boson of the HV U(1) group. 
 

           
Finally, for the basic HV scenario, there is a new massive particle 
with only HV charge sitting in the fundamental representation of the 
HV gauge group: 

          qv, identity 4900101. 
 

          The typical scenario would be for pair production of one of the 
states presented first above, e.g. g g → Dv Dvbar. 
Such a Dv can radiate gluons and photons like an SM quark, 
but in addition HV-gluons or HV-photons in a similar fashion. 
Eventually the Dv will decay like Dv → d + qv. 
The strength of this decay is not set as such, but is implicit in 
your choice of width for the Dv state. Thereafter the 
d and qv can radiate further within their 
respective sectors. The qv, gv or gammav 
are invisible, so their fate need not be considered further. 
 

           
While not part of the standard scenario, as an alternative there is 
also a kind of Z' resonance: 

          Zv, identity 4900023, a boson that can couple 
both to pairs of Standard Model fermions and to qv qvbar 
pairs. Mass, total width and branching ratios can be set as convenient. 

          This opens up for alternative processes 
l^+l^-, q qbar → Zv → qv qvbar. 
 

           
The possibility of a leakage back from the hidden sector will be 
considered in the Hadronization section below. For the U(1) 
case the gammav acquires a mass and can decay back to a 
Standard-Model fermion pair, while the qv remains invisible. 
The SU(N) alternative remains unbroken, so confinement holds 
and the gv is massless. A string like 
qv - gv - ... - gv - qvbar can break by the production of 
new qv - qvbar pairs, which will produce qv-qvbar 
mesons. It would be possible to build a rather sophisticated hidden 
sector by trivial extensions of the HV flavour content. For now, 
however, the qv can be duplicated in up to eight copies 
with the same properties except for the flavour charge. These are 
assigned codes 4900101 - 4900108. This gives a total of 64 possible 
lowest-lying mesons. We also include a duplication of that, into two 
multiplets, corresponding to the pseudoscalar and vector mesons of 
QCD. For now, again, these are assumed to have the same mass and 
other properties. Only the flavour-diagonal ones can decay back into 
the Standard-Model sector, however, while the rest remains in the 
hidden sector. It is therefore only necessary to distinguish a few 
states: 

          pivDiag, identity 4900111, a flavour-diagonal 
HV-meson with spin 0 that can decay back into the Standard-Model sector; 

          rhovDiag, identity 4900113, a flavour-diagonal 
HV-meson with spin 1 that can decay back into the Standard-Model sector; 

          pivUp, identity 4900211, an off-diagonal 
HV-meson with spin 0 that is stable and invisible, with an antiparticle 
pivDn with identity -4900211; the particle is 
the one where the code of the flavour is larger than that of the 
antiflavour; 

          rhovUp, identity 4900213, an off-diagonal 
HV-meson with spin 1 that is stable and invisible, with an antiparticle 
rhovDn with identity -4900213; again the particle is 
the one where the code of the flavour is larger than that of the 
antiflavour; 

          ggv, identity 4900991, is only rarely used, 
to handle cases where it is kinematically impossible to produce an 
HV-meson on shell, and it therefore is assumed to de-excite by the 
emission of invisible gv-gv  v-glueball bound states. 
 

           
Only the spin of the HV-gluon or HV-photon is determined unambiguously 
to be unity, for the others you can make your choice. 
  


          HiddenValley:spinFv      (default = 1; minimum = 0; maximum = 2)
          
The spin of the HV partners of the SM fermions, e.g. 
Dv, Uv, Ev and nuEv. 

          
0 : 
          
1 : 
          
2 : 
          
  


          HiddenValley:spinqv      (default = 0; minimum = 0; maximum = 1)
          
The spin of qv when the Fv (the HV partners of 
the SM fermions) have spin 1/2. (While, if they have spin 0 or 1, 
the qv spin is fixed at 1/2.) 

          
0 : 
          
1 : 
          
 


          HiddenValley:kappa      (default = 1.)
          
If the Fv have spin 1 then their production 
cross section depends on the presence of anomalous magnetic dipole 
moment, i.e. of a kappa different from unity. For other spins 
this parameter is not used. 
   
 


          HiddenValley:doKinMix  On
Off
   (default = off)
          
allow kinematic mixing or not. 
   
 


          HiddenValley:kinMix      (default = 1.)
          
strength of kinetic mixing. 
   
  

           
You should set the Fv and qv masses appropriately, 
with the latter smaller than the former two to allow decays. 
When U(1) hadronization is switched on, you need to set the 
gammav mass and decay modes. For SU(N) hadronization 
the HV-meson masses should be set to match the qv ones. 
The simplest is to assume that m_qv defines a constituent 
mass, so that  m_HVmeson = 2 m_qv. The hvMesonDiag 
decay modes also need to be set. 
 

          Production processes
           
   


          HiddenValley:all  On
Off
   (default = off)
          
Common switch for the group of all hard Hidden Valley processes, 
as listed separately in the following. 
   
   


          HiddenValley:gg2DvDvbar  On
Off
   (default = off)
          
Pair production g g → Dv Dvbar. 
Code 4901. 
   
   


          HiddenValley:gg2UvUvbar  On
Off
   (default = off)
          
Pair production g g → Uv Uvbar. 
Code 4902. 
   
   


          HiddenValley:gg2SvSvbar  On
Off
   (default = off)
          
Pair production g g → Sv Svbar. 
Code 4903. 
   
   


          HiddenValley:gg2CvCvbar  On
Off
   (default = off)
          
Pair production g g → Cv Cvbar. 
Code 4904. 
   
   


          HiddenValley:gg2BvBvbar  On
Off
   (default = off)
          
Pair production g g → Bv Bvbar. 
Code 4905. 
   
   


          HiddenValley:gg2TvTvbar  On
Off
   (default = off)
          
Pair production g g → Tv Tvbar. 
Code 4906. 
   
   


          HiddenValley:qqbar2DvDvbar  On
Off
   (default = off)
          
Pair production q qbar → Dv Dvbar 
via intermediate gluon. 
Code 4911. 
   
   


          HiddenValley:qqbar2UvUvbar  On
Off
   (default = off)
          
Pair production q qbar → Uv Uvbar 
via intermediate gluon. 
Code 4912. 
   
   


          HiddenValley:qqbar2SvSvbar  On
Off
   (default = off)
          
Pair production q qbar → Sv Svbar 
via intermediate gluon. 
Code 4913. 
   
   


          HiddenValley:qqbar2CvCvbar  On
Off
   (default = off)
          
Pair production q qbar → Cv Cvbar 
via intermediate gluon. 
Code 4914. 
   
   


          HiddenValley:qqbar2BvBvbar  On
Off
   (default = off)
          
Pair production q qbar → Bv Bvbar 
via intermediate gluon. 
Code 4915. 
   
   


          HiddenValley:qqbar2TvTvbar  On
Off
   (default = off)
          
Pair production q qbar → Tv Tvbar 
via intermediate gluon. 
Code 4916. 
   
   


          HiddenValley:ffbar2DvDvbar  On
Off
   (default = off)
          
Pair production f fbar → Dv Dvbar 
via intermediate gamma*/Z^*. 
Code 4921. 
   
   


          HiddenValley:ffbar2UvUvbar  On
Off
   (default = off)
          
Pair production f fbar → Uv Uvbar 
via intermediate gamma*/Z^*. 
Code 4922. 
   
   


          HiddenValley:ffbar2SvSvbar  On
Off
   (default = off)
          
Pair production f fbar → Sv Svbar 
via intermediate gamma*/Z^*. 
Code 4923. 
   
   


          HiddenValley:ffbar2CvCvbar  On
Off
   (default = off)
          
Pair production f fbar → Cv Cvbar 
via intermediate gamma*/Z^*. 
Code 4924. 
   
   


          HiddenValley:ffbar2BvBvbar  On
Off
   (default = off)
          
Pair production f fbar → Bv Bvbar 
via intermediate gamma*/Z^*. 
Code 4925. 
   
   


          HiddenValley:ffbar2TvTvbar  On
Off
   (default = off)
          
Pair production f fbar → Tv Tvbar 
via intermediate gamma*/Z^*. 
Code 4926. 
   
   


          HiddenValley:ffbar2EvEvbar  On
Off
   (default = off)
          
Pair production f fbar → Ev Evbar 
via intermediate gamma*/Z^*. 
Code 4931. 
   
   


          HiddenValley:ffbar2nuEvnuEvbar  On
Off
   (default = off)
          
Pair production f fbar → nuEv nuEvbar 
via intermediate gamma*/Z^*. 
Code 4932. 
   
     


          HiddenValley:ffbar2MUvMUvbar  On
Off
   (default = off)
          
Pair production f fbar → MUv MUvbar 
via intermediate gamma*/Z^*. 
Code 4933. 
   
   


          HiddenValley:ffbar2nuMUvnuMUvbar  On
Off
   (default = off)
          
Pair production f fbar → nuMUv nuMUvbar 
via intermediate gamma*/Z^*. 
Code 4934. 
   
 


          HiddenValley:ffbar2TAUvTAUvbar  On
Off
   (default = off)
          
Pair production f fbar → TAUv TAUvbar 
via intermediate gamma*/Z^*. 
Code 4935. 
   
   


          HiddenValley:ffbar2nuTAUvnuTAUvbar  On
Off
   (default = off)
          
Pair production f fbar → nuTAUv nuTAUvbar 
via intermediate gamma*/Z^*. 
Code 4936. 
   
   


          HiddenValley:ffbar2Zv  On
Off
   (default = off)
          
Production f fbar → Zv where Zv is a generic 
resonance that couples both SM fermion pairs and a qv qvbar 
pair. Not part of the framework of the above processes, but as an 
alternative. Code 4941. 
   
 

          Timelike showers
           
 
One key point of this HV scenario is that radiation off the 
HV-charged particles is allowed. This is done by the standard 
final-state showering machinery. (HV particles are not produced 
in initial-state radiation.) All the (anti)particles Fv 
and qv have one (negative) unit of HV charge. That is, 
radiation closely mimics the one in QCD. Both QCD, QED and HV 
radiation are interleaved in one common sequence of decreasing 
emission pT scales. Each radiation kind defines a set of 
dipoles, usually spanned between a radiating parton and its recoil 
partner, such that the invariant mass of the pair is not changed 
when a radiation occurs. This need not follow from trivial colour 
assignments, but is often obvious. For instance,  in a decay 
Qv → q + qv the QCD dipole is between the q and 
the hole after Qv, but qv becomes the recoiler 
should a radiation occur, while the role of q and qv 
is reversed for HV radiation. 
 

          This also includes matrix-element corrections for a number 
of decay processes, with colour, spin and mass effects included 
[Nor01]. They were calculated within the context of the 
particle content of the MSSM, however, which does not include spin 1 
particles with unit colour charge. In such cases spin 0 is assumed 
instead. By experience, the main effects come from mass and colour 
flow anyway, so this is not a bad approximation. (Furthermore the 
MSSM formulae allow for gamma_5 factors from wave 
functions or vertices; these are even less important.) 
 

          An emitted gv can branch in its turn, 
gv → gv + gv. This radiation may affect momenta 
in the visible sector by recoil effect, but this is a minor 
effect relative to the primary emission of the gv. 
 


          HiddenValley:FSR  On
Off
   (default = off)
          
switch on final-state shower of gv or gammav 
in a HV production process. 
   
 


          HiddenValley:alphaFSR      (default = 0.1; minimum = 0.0)
          
fixed alpha scale of gv/gammav emission; corresponds to 
alpha_strong of QCD or alpha_em of QED. For 
shower branchings such as Dv → Dv + gv the coupling is 
multiplied by C_F = (N^2 - 1) / (2 * N) for an 
SU(N) group and for gv → gv + gv by N. 
   
 


          HiddenValley:pTminFSR      (default = 0.4; minimum = 0.1)
          
lowest allowed pT of emission. Chosen with same default 
as in normal QCD showers. 
   
 

          Hadronization
           
 
By default the HV particles with no Standard Model couplings 
are not visible. Their presence can only be deduced by the 
observation of missing (transverse) momentum in the event as a 
whole. In the current implementation it is possible to simulate 
two different scenarios where activity can leak back from the 
hidden sector. 
 

           
The first possibility is relevant for the U(1) scenario. 
The U(1) group may be broken, so that the gammav 
acquires a mass. Furthermore, the gammav may have a 
small mixing angle with the normal photon, or with some Z' 
state or other mediator, and may thus decay back into Standard 
Model particles. The qv still escapes undetected; 
recall that there is no confinement in the U(1) option. 
 

           
In order to enable this machinery two commands are necessary, 
4900022:m0 = ... to set the  gammav mass 
to the desired value, and 4900022:onMode = on to enable 
gammav decays. The default gammav decay 
table contains all Standard Model fermion-antifermion pairs, 
except top, with branching ratios in proportion to their coupling 
to the photon, whenever the production channel is allowed by 
kinematics. This table could easily be tailored to more specific 
models and needs. For instance, for a mass below 1 - 2 GeV, it 
would make sense to construct a table of exclusive hadronic decay 
channels rather than go the way via a hadronizing quark pair. 
 

           
The gammav are expected to decay so rapidly that no 
secondary vertex will be detectable. However, it is possible to 
set 4900022:tau0 to a finite lifetime (in mm) that 
will be used to create separated secondary vertices. 
 

           
The second, more interesting, possibility is relevant for the 
SU(N) scenarios. Here the gauge group remains unbroken, i.e. 
gv is massless, and the partons are confined. Like in 
QCD, the HV-partons can therefore be arranged in one single 
HV-colour-ordered chain, with a qv in one end, a 
qvbar in the other, and a varying number of 
gv in between. Each event will only contain (at most) 
one such string, (i) since perturbative branchings 
gv → qv qvbar have been neglected, as is a reasonable 
approximation for QCD, and (ii) since HV-colours are assigned in the 
N_C → infinity limit, just like in the handling of 
string fragmentation in QCD. The HV-string can then fragment by the 
nonperturbative creation of qv qvbar pairs, leading to 
the formation of HV-mesons along the string, each with its 
qv from one vertex and its qvbar from 
the neighbouring one. 
 

           
Since, so far, we have only assumed there to be one qv 
species, all produced qv qvbar HV-mesons are of the 
same flavour-diagonal species. Such an HV-meson can decay back to 
the normal sector, typically by whatever mediator particle allowed 
production in the first place. In this framework the full energy put 
into the HV sector will leak back to the normal one. To allow more 
flexibility, an ad hoc possibility of n_Flav different 
qv species is introduced. For now they are all assumed 
to have the same mass and other properties, but distinguished by 
some flavour-like property. Only the flavour-diagonal ones can decay, 
meaning that only a fraction (approximately) 1/n_Flav of the 
HV-energy leaks back, while the rest remains in the hidden sector. 
 

           
This scenario contains more parameters than the first one, for the 
U(1) group. They can be subdivided into two sets. One is 
related to particle properties, both for qv and for the 
two different kinds of HV-mesons, here labeled 4900111 and 4900113 
for the diagonal ones, and +-4900211 and +-4900213 for the 
off-diagonal ones. It makes sense to set the HV-meson masses to be 
twice the qv one, as in a simple constituent mass context. 
Furthermore the hvMesonDiag decay modes need to be set up. 
Like with the 
gammav in the U(1) option, the default decay table 
is based on the branching ratios of an off-shell photon. 
 

           
The second set are fragmentation parameters that extend or replace 
the ones used in normal string fragmentation. Some of them are not 
encoded in the same way as normally, however, but rather scale as 
the qv mass is changed, so as to keep a sensible default 
behaviour. This does not mean that deviations from this set should 
not be explored, or that other scaling rules could be preferred 
within alternative scenarios. These parameters are as follows. 
 


          HiddenValley:fragment  On
Off
   (default = off)
          
switch on string fragmentation of the HV partonic system. 
Only relevant for SU(N) scenarios. 
   
   


          HiddenValley:nFlav       (default = 1; minimum = 1; maximum = 8)
          
number of different flavours assumed to exist in the hadronization 
description, leading to approximately 1/n_Flav of the 
produced HV-mesons being flavour-diagonal and capable to decay back 
to Standard Model particles. 
   
   


          HiddenValley:probVector      (default = 0.75; minimum = 0.; maximum = 1.)
          
fraction of HV-mesons that are assigned spin 1 (vector), with the 
remainder spin 0 (pseudoscalar). Assuming the qv have 
spin 1/2 and the mass splitting is small, spin counting 
predicts that 3/4 of the mesons should have spin 1. 
   
 


          HiddenValley:aLund      (default = 0.3; minimum = 0.0; maximum = 2.0)
          
The a parameter of the Lund symmetric fragmentation function. 
See the normal ";?>fragmentation 
function description for the shape of this function.   
 


          HiddenValley:bmqv2      (default = 0.8; minimum = 0.2; maximum = 2.0)
          
The b parameter of the Lund symmetric fragmentation function, 
multiplied by the square of the qv mass. This scaling ensures 
that the fragmentation function keeps the same shape when the 
qv mass is changed (neglecting transverse momenta). 
   
 


          HiddenValley:rFactqv      (default = 1.0; minimum = 0.0; maximum = 2.0)
          
r_qv, i.e. the Bowler correction factor to the Lund symmetric 
fragmentation function, which could be made weaker or stronger than 
its natural value. 
   
 


          HiddenValley:sigmamqv      (default = 0.5; minimum = 0.0)
          
the width sigma of transverse momenta in the HV fragmentation 
process, normalized to the qv mass. This ensures that 
sigma scales proportionately to m_qv. 
See the normal ";?>fragmentation 
pT description for conventions for factors of 2. 
   
  


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/HepMCInterface.php0000644000175000017500000002154512357553536017127 0ustar  sunsun

HepMC Interface






SETTINGS SAVED TO FILE

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          HepMC Interface
           
 
An interface to the HepMC [Dob01] standard event record 
format has been provided by M. Kirsanov. To use it, the relevant 
libraries need to be linked, as explained in the README 
and README.HepMC files. Only version 2.06 (or later) 
of HepMC is supported as of 1 January 2013, by agreement with the 
LHC experimental community. 
 

           
The (simple) procedure to translate PYTHIA 8 events into HepMC ones 
is illustrated in the main41.cc, main42.cc 
main61.cc and main62.cc 
main programs. At the core is a call to the 

           
HepMC::Pythia8ToHepMC::fill_next_event( pythia, hepmcevt, ievnum = -1) 

           
which takes a reference of the generator object and uses it, on the one 
hand, to read out and convert the event record in pythia.event 
and, on the other hand, to extract and store parton-density (PDF), 
cross section and other information for the hard subprocess from 
pythia.info. There is also an alternative form that 
does not requires access to the full pythia object, 
but only the event record, at the expense of a reduced information 
storage, see below. 
 

           
While PYTHIA always stores momenta in units of GeV, with c = 1, 
HepMC nowadays can be built either for MeV or GeV as default, a choice 
that can then be overridden on an event-by-event basis, see e.g. the 
main41.cc code. When filling the HepMC event record, PYTHIA 
will convert to the unit specified for the current HepMC event record. 
 

           
Also for length units there are choices, and again the PYTHIA interface 
will convert to the units set for the HepMC event record. Here the mm 
choice of PYTHIA seems to be shared by most other programs, and is 
HepMC default. 
 

           
The status code is now based on the new standard introduced for HepMC 2.05, 
see the ";?>Event::statusHepMC(...) 
conversion routine for details. 
 

           
The current values from pythia.info.sigmaGen() and 
pythia.info.sigmaErr() are stored for each event, 
multiplied by 10^9 to convert from mb to pb. Note that 
PYTHIA improves its accuracy by Monte Carlo integration in the course 
of the run, so the values associated with the last generated event 
should be the most accurate ones. If events also come with a dimensional 
weight, like in some Les Houches strategies, this weight is in units of pb. 
 

          The public methods
           
 
Here comes a complete list of all public methods of the 
Pythia8ToHepMC class in the HepMC 
(not Pythia8!) namespace. 
 


          Pythia8ToHepMC::Pythia8ToHepMC()   
          
   
virtual Pythia8ToHepMC::~Pythia8ToHepMC()   
          
the constructor and destructor take no arguments. 
   
 


          bool Pythia8ToHepMC::fill_next_event( Pythia8::Pythia& pythia, GenEvent* evt, int ievnum = -1)   
          
convert a Pythia event to a HepMC one. 
Will return true if succeeded. 

          argument pythia   :  
the input Pythia generator object, from which both the 
event and other information can be obtained. 
   

          argument evt   :  
the output GenEvt event, in its standard form. 
   

          argument iev   :  
set the event number of the current event. If negative then the 
internal event number is used, which is incremented by one for 
each new event. 
   
   
 


          bool Pythia8ToHepMC::fill_next_event( Pythia8::Event& pyev, GenEvent* evt, int ievnum = -1, Pythia8::Info* pyinfo = 0, Pythia8::Settings* pyset = 0)   
          
convert a Pythia event to a HepMC one. 
Will return true if succeeded. 

          argument pyev   :  
the input Pythia event that is to be converted to HepMC 
format. 
   

          argument evt   :  
the output GenEvt event, in its standard form. 
   

          argument iev   :  
set the event number of the current event. If negative then the 
internal event number is used, which is incremented by one for 
each new event. 
   

          argument pyinfo   :  
pointer to the Pythia Info object, which is used to 
extract PFD values, and process and cross section information. 
Without such a pointer this information therefore cannot be stored, 
i.e. it is equivalent to the three set_store methods 
below being set false. 
   

          argument pyset   :  
pointer to the Pythia Settings object, which is used to 
decide whether hadronization is carried out, and therefore whether 
to warn about unhadronized partons. Without such a pointer the 
set_free_parton_warnings method below uniquely controls 
the behaviour. 
   
   
 

           
The following paired methods can be used to set and get the status of 
some switches that modify the behaviour of the conversion routine. 
The set methods have the same default input values as 
the internal initialization ones, so that a call without an argument 
(re)stores the default. 
 


          void Pythia8ToHepMC::set_print_inconsistency(bool b = true)   
          
   
bool Pythia8ToHepMC::print_inconsistency()   
          
print a warning line, on cerr, when inconsistent mother 
and daughter information is encountered. 
   
 


          void Pythia8ToHepMC::set_free_parton_warnings(bool b = true)   
          
   
bool Pythia8ToHepMC::free_parton_warnings()   
          
check and print a warning line when unhadronized gluons or quarks are 
encountered in the event record. Does not apply when Pythia hadronization 
is switched off. Default is to do this check. 
   
 


          void Pythia8ToHepMC::set_crash_on_problem(bool b = false)   
          
   
bool Pythia8ToHepMC::crash_on_problem()   
          
if problems (like the free partons above) are encountered then the run 
is interrupted by an exit(1) command. Default is not to crash. 
   
 


          void Pythia8ToHepMC::set_convert_gluon_to_0(bool b = false)   
          
   
bool Pythia8ToHepMC::convert_gluon_to_0()   
          
the normal gluon identity code 21 is used also when parton density 
information is stored, unless this optional argument is set true to 
have gluons represented by a 0. This choice does not affect the 
normal event record, where a gluon is always 21. 
   
 


          void Pythia8ToHepMC::set_store_pdf(bool b = true)   
          
   
bool Pythia8ToHepMC::store_pdf()   
          
for each event store information on the two incoming flavours, their 
x values and common factorization scale, and the values of the two 
parton distributions, xf(x,Q). 
   
 


          void Pythia8ToHepMC::set_store_proc(bool b = true)   
          
   
bool Pythia8ToHepMC::store_proc()   
          
for each event store information on the Pythia process code, the 
renormalization scale, and alpha_em and alpha_s 
values used for the hard process. 
   
 


          void Pythia8ToHepMC::set_store_xsec(bool b = true)   
          
   
bool Pythia8ToHepMC::store_xsec()   
          
for each event store information on the Pythia cross section and its error, 
in pb, and the event weight. If events also come with a dimensional weight, 
like in some Les Houches strategies, this weight is in units of pb. 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/UserHooks.php0000644000175000017500000015103712357553536016274 0ustar  sunsun

User Hooks






SETTINGS SAVED TO FILE

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?>


 

          User Hooks
           
 
Sometimes it may be convenient to step in during the generation 
process: to modify the built-in cross sections, to veto undesirable 
events or simply to collect statistics at various stages of the 
evolution. There is a base class UserHooks that gives 
you this access at a few selected places. This class in itself does 
nothing; the idea is that you should write your own derived class 
for your task. One simple derived class (SuppressSmallPT) 
comes with the program, mainly as illustration, and the 
main10.cc program provides a complete (toy) example how 
a derived class could be set up and used. 
 

           
There are eight sets of routines, that give you different kinds of 
freedom. They are, in no particular order: 

          (i) Ones that give you access to the event record in between 
the process-level and parton-level steps, or in between the 
parton-level and hadron-level ones. You can study the event record 
and decide whether to veto this event. 

          (ii) Ones that allow you to set a scale at which the combined 
parton-level MPI+ISR+FSR downwards evolution in pT is 
temporarily interrupted, so the event can be studied and either 
vetoed or allowed to continue the evolution. 

          (iii) Ones that allow you to to study the event after the first 
few ISR/FSR emissions, or first few MPI, so the event can be vetoed 
or allowed to continue the evolution. 

          (iv) Ones that allow you to study the latest initial- or 
final-state emission and veto that emission, without vetoing the 
event as a whole. 

          (v) Ones that give you access to the properties of the trial 
hard process, so that you can modify the internal Pythia cross section, 
alternatively the phase space sampling, by your own correction factors. 

          (vi) Ones that allow you to reject the decay sequence of resonances 
at the process level. 

          (vii) Ones that let you set the scale of shower evolution, 
specifically for matching in resonance decays. 

          (viii) Ones that allow colour reconnection, notably in connection 
with resonance decays.

          They are described further in the following numbered subsections. 
 

           
All the possibilities above can be combined freely and also be combined 
with the standard flags. An event would then survive only if it survived 
each of the possible veto methods. There are no hidden interdependencies 
in this game, but of course some combinations may not be particularly 
meaningful. For instance, if you set PartonLevel:all = off 
then the doVetoPT(...) and doVetoPartonLevel(...) 
locations in the code are not even reached, so they would never be called. 
 

           
The effect of the vetoes of types (i), (ii) and (iii) can be studied 
in the output of the 
";?>Pythia::statistics() 
method. The "Selected" column represents the number of events that were 
found acceptable by the internal Pythia machinery, whereas the "Accepted" 
one are the events that also survived the user cuts. The cross section 
is based on the latter number, and so is reduced by the amount associated 
by the vetoed events. Also type (v) modifies the cross section, while 
types (iv), (vi) and (vii) do not. 
 

           
A warning. When you program your own derived class, do remember that you 
must exactly match the arguments of the base-class methods you overload. 
If not, your methods will be considered as completely new ones, and 
compile without any warnings, but not be used inside Pythia. 
So, at the debug stage, do insert some suitable print statements to check 
that the new methods are called (and do what they should). 
 

          The basic components
           
 
For a derived UserHooks class to be called during the 
execution, a pointer to an object of this class should be handed in 
with the 

          ";?> 
Pythia::setUserHooksPtr( UserHooks*) 

          method. The first step therefore is to construct your own derived 
class, of course. This must contain a constructor and a destructor. The 
initPtr method comes "for free", and is set up without 
any intervention from you. 
 


          UserHooks::UserHooks()   
          
   
virtual UserHooks::~UserHooks()   
          
The constructor and destructor do not need to do anything. 
   
 


          void UserHooks::initPtr( Info* infoPtr, Settings* settingsPtr, ParticleData* particleDataPtr, Rndm* rndmPtr, BeamParticle* beamAPtr, BeamParticle* beamBPtr, BeamParticle* beamPomAPtr, BeamParticle* beamPomBPtr, CoupSM* coupSMPtr, PartonSystems* partonSystemsPtr, SigmaTotal* sigmaTotPtr)   
          
this (non-virtual) method is automatically called during the 
initialization stage to set several useful pointers, and to set up 
the workEvent below. The corresponding objects can 
later be used to extract some useful information. 

          ";?>Info: 
general event and run information, including some loop counters. 

          ";?>Settings: 
the settings used to determine the character of the run. 

          ";?>ParticleData: 
the particle data used in the event record 
(including workEvent below). 

          ";?>Rndm: the random number 
generator, that you could also use in your code. 

          ";?>BeamParticle: 
the beamAPtr and beamBPtr beam particles 
contain info on partons extracted from the two incoming beams, 
on the PDFs used, and more. In cases when diffraction is simulated, 
also special Pomeron beams beamPomAPtr and 
beamPomBPtr are introduced, for the Pomerons residing 
inside the respective proton. 

          ";?>CoupSM: 
Standard Model couplings. 

          ";?>PartonSystems: 
the list of partons that belong to each individual subcollision system. 

          ";?>SigmaTotal: 
total/elastic/diffractive cross section parametrizations. 
   
 

           
Next you overload the desired methods listed in the sections below. 
These often come in pairs or triplets, where the first must return 
true for the last method to be called. This latter method typically 
hands you a reference to the event record, which you then can use to 
decide whether or not to veto. Often the event record can be quite 
lengthy and difficult to overview. The following methods and data member 
can then come in handy. 
 


          void UserHooks::omitResonanceDecays(const Event& process, bool finalOnly = false)   
          
is a protected method that you can make use of in your own methods to 
extract a simplified list of the hard process, where all resonance decay 
chains are omitted. Intended for the can/doVetoProcessLevel 
routines. Note that the normal process-level generation does include 
resonance decays. That is, if a top quark is produced in the hard process, 
then also decays such as t → b W+, W+ → u dbar will be 
generated and stored in process. 
The omitResonanceDecays 
routine will take the input process and copy it to 
workEvent (see below), minus the resonance decay chains. 
All particles produced in the hard process, such as the top, will be 
considered final-state ones, with positive status and no daughters, 
just as it is before resonances are allowed to decay. 

          (In the PartonLevel routines, these decay chains will 
initially not be copied from process to event. 
Instead the combined MPI, ISR and FSR evolution is done with the top 
above as final particle. Only afterwards will the resonance decay chains 
be copied over, with kinematics changes reflecting those of the top, and 
showers in the decays carried out.) 

          For the default finalOnly = false the beam particles 
and incoming partons are retained, so the event looks like a normal 
event record up to the point of resonance decays, with a normal history 
setup. 

          With finalOnly = true only the final-state partons 
are retained in the list. It therefore becomes similar in functionality 
to the subEvent method below, with the difference that 
subEvent counts the decay products of the resonances 
as the final state, whereas here the resonances themselves are the 
final state. Since the history has been removed in this option, 
mother1() and mother2() return 0, while 
daughter1() and daughter2() both return the 
index of the same parton in the original event record. 
   
 


          void UserHooks::subEvent(const Event& event, bool isHardest = true)   
          
is a protected method that you can make use of in your own methods to 
extract a brief list of the current partons of interest, with all 
irrelevant ones omitted. It is primarily intended to track the evolution 
at the parton level, notably the shower evolution of the hardest 
(i.e. first) interaction. 

          For the default isHardest = true only the outgoing partons 
from the hardest interaction (including the partons added to it by ISR and 
FSR) are extracted, as relevant e.g. for doVetoPT( iPos, event) 
with iPos = 0 - 4. With isHardest = false instead 
the outgoing partons of the latest "subprocess" are extracted, as relevant 
when iPos = 5, where it corresponds to the outgoing partons 
in the currently considered decay. 

          The method also works at the process level, but there simply extracts 
all final-state partons in the event, and thus offers no extra functionality. 

          The result is stored in workEvent below. Since the 
history has been removed, mother1() and mother2() 
return 0, while daughter1() and daughter2() both 
return the index of the same parton in the original event record 
(event; possibly process), so that you can 
trace the full history, if of interest. 
   
 


          Event UserHooks::workEvent   
          
This protected class member contains the outcome of the above 
omitResonanceDecays(...) and 
subEvent(...) methods. Alternatively you can use it for 
whatever temporary purposes you wish. You are free to use standard 
operations, e.g. to boost the event to its rest frame before analysis, 
or remove particles that should not be analyzed. 
The workEvent can also be sent on to a 
";?>jet clustering algorithm. 
 

          (i) Interrupt between the main generation levels
           
 


          virtual bool UserHooks::initAfterBeams()   
          
This routine is called by Pythia::init(), after the beams have been 
set up, but before any other initialisation. Therefore, at this stage, 
it is still possible to modify settings (apart from 
Beams:*) and particle data. This is mainly intended 
to be used in conjunction with Les Houches Event files, where 
headers are read in during beam initialisation, see the header 
functions in the ";?>Info class. 
In the base class this method returns true. By returning false, 
PYTHIA initialisation will be aborted. 
   
 


          virtual bool UserHooks::canVetoProcessLevel()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoProcessLevel(...) 
will be called immediately after a hard process (and associated 
resonance decays) has been selected and stored in the 
";?>process event record. 

          At this stage, the process record typically contains 
the two beams in slots 1 and 2, the two incoming partons to the hard 
process in slots 3 and 4, the N (usually 1, 2 or 3) primary produced 
particles in slots 5 through 4 + N, and thereafter recursively the 
resonance decay chains, if any. Use the method 
omitResonanceDecays(...) if you want to skip these 
decay chains. There are exceptions to this structure, 
for ";?>soft QCD processes (where 
the partonic process may not yet have been selected at this stage), 
and when ";?>a second hard process has 
been requested (where two hard processes are bookkept). In general 
it is useful to begin the development work by listing a few 
process records, to clarify what the structure is for 
the cases of interest. 
   
 


          virtual bool UserHooks::doVetoProcessLevel(Event& process)   
          
can optionally be called, as described above. You can study the 
process event record of the hard process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

          Warning: Normally you should not modify the process 
event record. However, for some matrix-element-matching procedures it may 
become unavoidable. If so, be very careful, since there are many pitfalls. 
Only to give one example: if you modify the incoming partons then also 
the information stored in the beam particles may need to be modified. 

          Note: the above veto is different from setting the flag 
";?>PartonLevel:all = off. 
Also in the latter case the event generation will stop after the process 
level, but an event generated up to this point is considered perfectly 
acceptable. It can be studied and it contributes to the cross section. 
That is, PartonLevel:all = off is intended for simple studies 
of hard processes, where one can save a lot of time by not generating 
the rest of the story. By contrast, the doVetoProcessLevel() 
method allows you to throw away uninteresting events at an early stage 
to save time, but those events that do survive the veto are allowed to 
develop into complete final states (unless flags have been set otherwise). 
   
 


          virtual bool UserHooks::canVetoPartonLevel()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoPartonLevel(...) 
will be called immediately after the parton level has been generated 
and stored in the ";?>event 
event record. Thus showers, multiparton interactions and beam remnants 
have been set up, but hadronization and decays have not yet been 
performed. This is already a fairly complete event, possibly with quite 
a complex parton-level history. Therefore it is usually only meaningful 
to study the hardest interaction, e.g. using subEvent(...) 
introduced above, or fairly generic properties, such as the parton-level 
jet structure. 
   
 


          virtual bool UserHooks::doVetoPartonLevel(const Event& event)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

          Note: the above veto is different from setting the flag 
";?>HadronLevel:all = off. 
Also in the latter case the event generation will stop after the parton 
level, but an event generated up to this point is considered perfectly 
acceptable. It can be studied and it contributes to the cross section. 
That is, HadronLevel:all = off is intended for simple 
studies of complete partonic states, where one can save time by not 
generating the complete hadronic final state. By contrast, the 
doVetoPartonLevel() method allows you to throw away 
uninteresting events to save time that way, but those events that 
do survive the veto are allowed to develop into complete final states 
(unless flags have been set otherwise). 
   
 


          virtual bool UserHooks::canVetoPartonLevelEarly()   
          
is very similar to canVetoPartonLevel() above, except 
that the chance to veto appears somewhat earlier in the generation 
chain, after showers and multiparton interactions, but before the 
beam remnants and resonance decays have been added. It is therefore 
somewhat more convenient for many matrix element strategies, where 
the primordial kT added along with the beam remnants should 
not be included. 
   
 


          virtual bool UserHooks::doVetoPartonLevelEarly(const Event& event)   
          
is very similar to doVetoPartonLevel(...) above, but 
the veto can be done earlier, as described for 
canVetoPartonLevelEarly(). 
 

          (ii) Interrupt during the parton-level evolution, at a 
pT scale
           
 
During the parton-level evolution, multiparton interactions (MPI), 
initial-state radiation (ISR) and final-state radiation (FSR) 
are normally evolved downwards in 
one interleaved evolution sequence of decreasing pT values. 
For some applications, e.g  matrix-element-matching approaches, it 
may be convenient to stop the evolution temporarily when the "hard" 
emissions have been considered, but before continuing with the more 
time-consuming soft activity. Based on these hard partons one can make 
a decision whether the event at all falls in the intended event class, 
e.g. has the "right" number of parton-level jets. If yes then, as for 
the methods above, the evolution will continue all the way up to a 
complete event. Also as above, if no, then the event will not be 
considered in the final cross section. 
 

           
Recall that the new or modified partons resulting from a MPI, ISR or FSR 
step are always appended to the end of the then-current event record. 
Previously existing partons are not touched, except for the 
";?>status, mother and daughter 
values, which are updated to reflect the modified history. It is 
therefore straightforward to find the partons associated with the most 
recent occurrence. 

          An MPI results in four new partons being appended, two incoming 
and two outgoing ones. 

          An ISR results in the whole affected system being copied down, 
with one of the two incoming partons being replaced by a new one, and 
one more outgoing parton. 

          An FSR results in three new partons, two that come from the 
branching and one that takes the recoil. 

          The story becomes more messy when rescattering is allowed as part 
of the MPI machinery. Then there will not only be a new system, as 
outlined above, but additionally some existing systems will undergo 
cascade effects, and be copied down with changed kinematics. 
 

           
In this subsection we outline the possibility to interrupt at a given 
pT scale, in the next to interrupt after a given number of 
emissions. 
 


          virtual bool UserHooks::canVetoPT()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoPT(...) will 
interrupt the downward evolution at scaleVetoPT(). 
 


          virtual double UserHooks::scaleVetoPT()   
          
In the base class this method returns 0. You should redefine it 
to return the pT scale at which you want to study the event. 
   
 


          virtual bool UserHooks::doVetoPT(int iPos, const Event& event)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

          argument iPos   :  is the position/status when the routine is 
called, information that can help you decide your course of action: 

          argumentoption  0 :  when no MPI, ISR or FSR occurred above the veto scale; 
   

          argumentoption  1 :  when inside the interleaved MPI + ISR + FSR evolution, 
after an MPI process; 
   

          argumentoption  2 :  when inside the interleaved MPI + ISR + FSR evolution, 
after an ISR emission; 
   

          argumentoption  3 :  when inside the interleaved MPI + ISR + FSR evolution, 
after an FSR emission; 
   

          argumentoption  4 :  for the optional case where FSR is deferred from the 
interleaved evolution and only considered separately afterward (then 
alternative 3 would never occur); 
   

          argumentoption  5 :  is for subsequent resonance decays, and is called once 
for each decaying resonance in a chain such as 
t → b W, W → u dbar. 
   
   

          argument event   :  the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", and also those from further multiparton interactions. 
This may not be desirable for comparisons with matrix-element calculations. 
You may want to make use of the subEvent(...) method below to 
obtain a simplified event record workEvent. 
   
   
 

          (iii) Interrupt during the parton-level evolution, after a step
           
 
These options are closely related to the ones above in section (ii), so 
we do not repeat the introduction, nor the possibilities to study the 
event record, also by using subEvent(...) and 
workEvent. 
What is different is that the methods in this section give access to the 
event as it looks like after each of the first few steps in the downwards 
evolution, irrespective of the pT scales of these branchings. 
Furthermore, it is here assumed that the focus normally is on the hardest 
subprocess, so that ISR/FSR emissions associated with additional MPI's 
are not considered. For MPI studies, however, a separate simpler 
alternative is offered to consider the event after a given number 
of interactions. 
 


          virtual bool UserHooks::canVetoStep()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoStep(...) will 
interrupt the downward ISR and FSR evolution the first 
numberVetoStep() times. 
 


          virtual int UserHooks::numberVetoStep()   
          
Returns the number of steps n each of ISR and FSR, for the 
hardest interaction, that you want to be able to study. That is, 
the method will be called after the first n ISR emissions, 
irrespective of the number of FSR ones at the time, and after the 
first n FSR emissions, irrespective of the number of ISR ones. 
The number of steps defaults to the first one only, but you are free 
to pick another value. Note that double diffraction is handled as two 
separate Pomeron-proton collisions, and thus has two sequences of 
emissions. 
   
 


          virtual bool UserHooks::doVetoStep(int iPos, int nISR, int nFSR, const Event& event)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

          argument iPos   :  is the position/status when the routine is 
called, information that can help you decide your course of action. 
Agrees with options 2 - 5 of the doVetoPT(...) routine 
above, while options 0 and 1 are not relevant here. 
   

          argument nISR   :  is the number of ISR emissions in the hardest 
process so far. For resonance decays, iPos = 5, it is 0. 
   

          argument nFSR   :  is the number of FSR emissions in the hardest 
process so far. For resonance decays, iPos = 5, it is the 
number of emissions in the currently studied system. 
   

          argument event   :  the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", and also those from further multiparton interactions. 
This may not be desirable for comparisons with matrix-element calculations. 
You may want to make use of the subEvent(...) method above to 
obtain a simplified event record. 
   
   
 


          virtual bool UserHooks::canVetoMPIStep()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoMPIStep(...) will 
interrupt the downward MPI evolution the first 
numberVetoMPIStep() times. 
 


          virtual int UserHooks::numberVetoMPIStep()   
          
Returns the number of steps in the MPI evolution that you want to be 
able to study, right after each new step has been taken and the 
subcollision has been added to the event record. The number of steps 
defaults to the first one only, but you are free to pick another value. 
Note that the hardest interaction of an events counts as the first 
multiparton interaction. For most hard processes it thus at the first 
step offers nothing not available with the VetoProcessLevel 
functionality above. For the minimum-bias and diffractive systems the 
hardest interaction is not selected at the process level, however, so 
there a check after the first multiparton interaction offers new 
functionality. Note that double diffraction is handled as two separate 
Pomeron-proton collisions, and thus has two sequences of interactions. 
Also, if you have set up a second hard process then a check is made 
after these first two, and the first interaction coming from the MPI 
machinery would have sequence number 3. 
   
 


          virtual bool UserHooks::doVetoMPIStep(int nMPI, const Event& event)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the event, true, or let 
it continue to evolve, false. If you veto, then this event is not 
counted among the accepted ones, and does not contribute to the estimated 
cross section. The Pytha::next() method will begin a 
completely new event, so the vetoed event will not appear in the 
output of Pythia::next(). 

          argument nMPI   :  is the number of MPI subprocesses has occurred 
so far. 
   

          argument event   :  the event record contains a list of all partons 
generated so far, also including intermediate ones not part of the 
"current final state", e.g. leftovers from the ISR and FSR evolution 
of previously generated systems. The most recently added one has not 
had time to radiate, of course. 
   
   
 

          (iv) Veto emissions
           
 
The methods in this group are intended to allow the veto of an emission 
in ISR, FSR or MPI, without affecting the evolution in any other way. 
If an emission is vetoed, the event record is "rolled back" to the 
way it was before the emission occurred, and the evolution in pT 
is continued downwards from the rejected value. The decision can be 
based on full knowledge of the kinematics of the shower branching or MPI. 
 

           
To identify where shower emissions originated, the ISR/FSR veto 
routines are passed the system from which the radiation occurred, according 
to the Parton Systems class (see ";?>Advanced 
Usage). Note, however, that inside the veto routines only the event 
record has been updated; all other information, including the Parton 
Systems, reflects the event before the shower branching or MPI has 
taken place. 
 


          virtual bool UserHooks::canVetoISREmission()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoISREmission(...) 
will interrupt the initial-state shower immediately after each 
emission and allow that emission to be vetoed. 
 


          virtual bool UserHooks::doVetoISREmission( int sizeOld, const Event& event, int iSys)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the emission, true, or 
not, false. If you veto, then the latest emission is removed from 
the event record. In either case the evolution of the shower will 
continue from the point where it was left off. 

          argument sizeOld   :  is the size of the event record before the 
latest emission was added to it. It will also become the new size if 
the emission is vetoed. 
   

          argument event   :  the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent emission, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the emission 
these entries will be removed, and the history info in the remaining 
partons will be restored to a state as if the emission had never occurred. 
   

          argument iSys   :  the system where the radiation occurs, according 
to Parton Systems. 
   
   
 


          virtual bool UserHooks::canVetoFSREmission()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoFSREmission(...) 
will interrupt the final-state shower immediately after each 
emission and allow that emission to be vetoed. 
 


          virtual bool UserHooks::doVetoFSREmission( int sizeOld, const Event& event, int iSys, bool inResonance = false)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the emission, true, or 
not, false. If you veto, then the latest emission is removed from 
the event record. In either case the evolution of the shower will 
continue from the point where it was left off. 

          argument sizeOld   :  is the size of the event record before the 
latest emission was added to it. It will also become the new size if 
the emission is vetoed. 
   

          argument event   :  the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent emission, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the emission 
these entries will be removed, and the history info in the remaining 
partons will be restored to a state as if the emission had never occurred. 
   

          argument iSys   :  the system where the radiation occurs, according 
to Parton Systems. 
   

          argument inResonance   :  true if the emission takes 
place in a resonance decay, subsequent to the hard process. 
   
   
 


          virtual bool UserHooks::canVetoMPIEmission()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoMPIEmission(...) 
will interrupt the MPI machinery immediately after each multiparton 
interaction and allow it to be vetoed. 
 


          virtual bool UserHooks::doVetoMPIEmission( int sizeOld, const Event& event)   
          
can optionally be called, as described above. You can study, but not 
modify, the event event record of the partonic process. 
Based on that you can decide whether to veto the MPI, true, or 
not, false. If you veto, then the latest MPI is removed from 
the event record. In either case the interleaved evolution will 
continue from the point where it was left off. 

          argument sizeOld   :  is the size of the event record before the 
latest MPI was added to it. It will also become the new size if 
the MPI is vetoed. 
   

          argument event   :  the event record contains a list of all partons 
generated so far. Of special interest are the ones associated with the 
most recent MPI, which are stored in entries from sizeOld 
through event.size() - 1 inclusive. If you veto the MPI 
these entries will be removed. 
   
   
 

          (v) Modify cross-sections or phase space sampling
           
 
This section addresses two related but different topics. In both 
cases the sampling of events in phase space is modified, so that 
some regions are more populated while others are depleted. 
In the first case, this is assumed to be because the physical 
cross section should be modified relative to the built-in Pythia 
form. Therefore not only the relative population of phase space 
is changed, but also the integrated cross section of the process. 
In the second case the repopulation is only to be viewed as a 
technical trick to sample some phase-space regions better, so as 
to reduce the statistical error. There each event instead obtains 
a compensating weight, the inverse of the differential cross section 
reweighting factor, in such a way that the integrated cross section 
is unchanged. Below these two cases are considered separately, 
but note that they share many points. 
 


          virtual bool UserHooks::canModifySigma()   
          
In the base class this method returns false. If you redefine it 
to return true then the method multiplySigmaBy(...) will 
allow you to modify the cross section weight assigned to the current 
event. 
   
 


          virtual double UserHooks::multiplySigmaBy( const SigmaProcess* sigmaProcessPtr, const PhaseSpace* phaseSpacePtr, bool inEvent)   
          
when called this method should provide the factor by which you want to 
see the cross section weight of the current event modified. If you 
return unity then the normal cross section is obtained. Note that, unlike 
the methods above, these modifications do not lead to a difference between 
the number of "selected" events and the number of "accepted" ones, 
since the modifications occur already before the "selected" level. 
The integrated cross section of a process is modified, of course. 
Note that the cross section is only modifiable for normal hard processes. 
It does not affect the cross section in further multiparton interactions, 
nor in elastic/diffractive/minimum-bias events. 

          argument sigmaProcessPtr, phaseSpacePtr   : : 
what makes this routine somewhat tricky to write is that the 
hard-process event has not yet been constructed, so one is restricted 
to use the information available in the phase-space and cross-section 
objects currently being accessed. Which of their  methods are applicable 
depends on the process, in particular the number of final-state particles. 
The multiplySigmaBy code in UserHooks.cc 
contains explicit instructions about which methods provide meaningful 
information, and so offers a convenient starting point. 
   

          argument inEvent   : : this flag is true when the method is 
called from within the event-generation machinery and false 
when it is called at the initialization stage of the run, when the 
cross section is explored to find a maximum for later Monte Carlo usage. 
Cross-section modifications should be independent of this flag, 
for consistency, but if  multiplySigmaBy(...) is used to 
collect statistics on the original kinematics distributions before cuts, 
then it is important to be able to exclude the initialization stage 
from comparisons. 
   
   
 

           
One derived class is supplied as an example how this facility can be used 
to reweight cross sections in the same spirit as is done with QCD cross 
sections for the minimum-bias/underlying-event description: 
 

          class   SuppressSmallPT : public UserHooks   
          
suppress small-pT production for 2 → 2 processes 
only, while leaving other processes unaffected. The basic suppression 
factor is pT^4 / ((k*pT0)^2 + pT^2)^2, where pT 
refers to the current hard subprocess and pT0 is the same 
energy-dependent dampening scale as used for 
";?>multiparton interactions. 
This class contains canModifySigma() and 
multiplySigmaBy() methods that overload the base class ones. 
 


          SuppressSmallPT::SuppressSmallPT( double pT0timesMPI = 1., int numberAlphaS = 0, bool useSameAlphaSasMPI = true)   
          
 The optional arguments of the constructor provides further variability. 

          argument pT0timesMPI   :  
corresponds to the additional factor k in the above formula. 
It is by default equal to 1 but can be used to explore deviations from 
the expected value. 
   

          argument numberAlphaS   :  
if this number n is bigger than the default 0, the 
corresponding number of alpha_strong factors is also 
reweighted from the normal renormalization scale to a modified one, 
i.e. a further suppression factor 
( alpha_s((k*pT0)^2 + Q^2_ren) / alpha_s(Q^2_ren) )^n 
is introduced. 
   

          argument useSameAlphaSasMPI   :  
regulates which kind of new alpha_strong value is evaluated 
for the numerator in the above expression. It is by default the same 
as set for multiparton interactions (i.e. same starting value at 
M_Z and same order of running), but if false 
instead the one for hard subprocesses. The denominator 
alpha_s(Q^2_ren) is always the value used for the "original", 
unweighted cross section. 
   
   
 

           
The second main case of the current section involves three methods, 
as follows. 
 


          virtual bool UserHooks::canBiasSelection()   
          
In the base class this method returns false. If you redefine it 
to return true then the method biasSelectionBy(...) will 
allow you to modify the phase space sampling, with a compensating 
event weight, such that the cross section is unchanged. You cannot 
combine this kind of reweighting with the selection of 
";?>a second hard process. 
   
 


          virtual double UserHooks::biasSelectionBy( const SigmaProcess* sigmaProcessPtr, const PhaseSpace* phaseSpacePtr, bool inEvent)   
          
when called this method should provide the factor by which you want to 
see the phase space sampling of the current event modified. Events are 
assigned a weight being the inverse of this, such that the integrated 
cross section of a process is unchanged. Note that the selection 
is only modifiable for normal hard processes. It does not affect the 
selection in further multiparton interactions, nor in 
elastic/diffractive/minimum-bias events. 

          argument sigmaProcessPtr, phaseSpacePtr   : : 
what makes this routine somewhat tricky to write is that the 
hard-process event has not yet been constructed, so one is restricted 
to use the information available in the phase-space and cross-section 
objects currently being accessed. Which of their  methods are applicable 
depends on the process, in particular the number of final-state particles. 
The biasSelectionBy code in UserHooks.cc 
contains explicit instructions about which methods provide meaningful 
information, and so offers a convenient starting point. 
   

          argument inEvent   : : this flag is true when the method is 
called from within the event-generation machinery and false 
when it is called at the initialization stage of the run, when the 
cross section is explored to find a maximum for later Monte Carlo usage. 
Cross-section modifications should be independent of this flag, 
for consistency, but if biasSelectionBy(...) is used to 
collect statistics on the original kinematics distributions before cuts, 
then it is important to be able to exclude the initialization stage 
from comparisons. 
   
   
 


          virtual double UserHooks::biasedSelectionWeight()   
          
Returns the weight you should assign to the event, to use e.g. when 
you histogram results. It is the exact inverse of the weight you 
used to modify the phase-space sampling, a weight that must be stored 
in the selBias member variable, such that this routine 
can return 1/selBias. The weight is also returned by the 
Info::weight() method, which may be more convenient to use. 
   
 

          (vi) Reject the decay sequence of resonances
           
 
Resonance decays are performed already at the process level, as 
an integrated second step of the hard process itself. One reason is 
that the matrix element of many processes encode nontrivial decay 
angular distributions. Another is to have equivalence with Les Houches 
input, where resonance decays typically are provided from the onset. 
The methods in this section allow you to veto that decay sequence and 
try a new one. Unlike the veto of the whole process-level step, 
in point (i), the first step of the hard process is retained, i.e. 
where the resonances are produced. For this reason the cross section 
is not affected here but, depending on context, you may want to introduce 
your own counters to check how often a new set of decay modes and 
kinematics is selected, and correct accordingly. 
 

          The main method below is applied after all decays. For the production 
of a t tbar pair this typically means after four decays, 
namely those of the t, the tbar, the W+ 
and the W-. If Les Houches events are processed, the rollback 
is to the level of the originally read events. For top, that might mean 
either to the tops, or to the W bosons, or no rollback at all, 
depending on how the process generation was set up. 
 


          virtual bool UserHooks::canVetoResonanceDecays()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doVetoResonanceDecays(...) 
will be called immediately after the resonance decays have been 
selected and stored in the process event record, 
as described above for canVetoProcessLevel(). 
   
 


          virtual bool UserHooks::doVetoResonanceDecays(Event& process)   
          
can optionally be called, as described above. You can study the 
process event record of the hard process. 
Based on that you can decide whether to reject the sequence of 
resonance decays that was not already fixed by the production step 
of the hard process (which can vary depending on how a process has 
been set up, see above). If you veto, then a new resonance decay 
sequence is selected, but the production step remains unchanged. 
The cross section remains unaffected by this veto, for better or worse. 

          Warning: Normally you should not modify the process 
event record. However, as an extreme measure, parts or the complete decay 
chain could be overwritten. If so, be very careful. 
   
  

          (vii) Modify scale in shower evolution
           
 
The choice of maximum shower scale in resonance decays is normally not a 
big issue, since the shower here is expected to cover the full phase 
space. In some special cases a matching scheme is intended, where hard 
radiation is covered by matrix elements, and only softer by showers. The 
below two methods support such an approach. Note that the two methods 
are not used in the TimeShower class itself, but when 
showers are called from the PartonLevel generation. Thus 
user calls directly to TimeShower are not affected. 
 


          virtual bool UserHooks::canSetResonanceScale()   
          
In the base class this method returns false. If you redefine it 
to return true then the method scaleResonance(...) 
will set the initial scale of downwards shower evolution. 
   
 


          virtual double UserHooks::scaleResonance( int iRes, const Event& event)   
          
can optionally be called, as described above. You should return the maximum 
scale, in GeV, from which the shower evolution will begin. The base class 
method returns 0, i.e. gives no shower evolution at all. 
You can study, but not modify, the event event record 
of the partonic process to check which resonance is decaying, and into what. 

          argument iRes   :  is the location in the event record of the 
resonance that decayed to the particles that now will shower. 
   

          argument event   :  the event record contains a list of all partons 
generated so far, specifically the decaying resonance and its immediate 
decay products. 
   
   
  

          (viii) Allow colour reconnection
          

PYTHIA contains only a limites set of possibilities for 
";?>colour reconnection, and none of them 
are geared specifically towards rapidly decaying resonances. Notably,
with the default 
";?>PartonLevel:earlyResDec = off,
resonances will only decay after colour reconnection has already been
considered. Thus a coloured parton like the top may be reconnected
but, apart from this external connection with the rest of the event,
the top decay products undergo no colour reconnection. 
For PartonLevel:earlyResDec = on the resonance will decay 
earlier, and thus the decay products may undergo reconnections, but not
necessarily by models that are specifically geared towards this kind of 
events. For tryout purposes, a user hook can be called directly after the 
resonance decays, and there modify the colour flow. This holds whether the 
resonance decay is handled early or late, but is especially appropriate
for the latter default possibility. While intended specifically for 
resonance decays, alternatively it is possible to switch off the built-in 
colour reconnection and here implement your own reconnection model 
for the whole event.



          virtual bool UserHooks::canReconnectResonanceSystems()   
          
In the base class this method returns false. If you redefine it 
to return true then the method doReconnectResonanceSystems(...) 
will be called immediately after the resonance decays and their
associated final-state showers have been added to the event record.
   
 


          virtual bool UserHooks::doReconnectResonanceSystems(int oldSizeEvent, Event& event)   
          
can optionally be called, as described above, to reconnect colours
in the event. The method should normally return true, but false if the 
colour-reconnected event is unphysical and to be rejected. 
(If this is likely to happen, having a safety copy to restore to
is a good idea, so that false can be avoided to the largest extent 
possible.)

          argument oldSizeEvent   :  the size of the event record before 
resonance decay products and their associated final-state showers
have been added to the event. Can thus be used to easily separate 
the resonance-decay partons from those in the rest of the event.
   

          argument event   :  the event record contains a list of all particles 
generated so far. You are allowed to freely modify this record, but with
freedom comes responsibility. Firstly, it is only meaningful to modify
the colour indices of final-state (at the time) partons; all other event
properties had better be left undisturbed. Secondly, it is up to you to
ensure that the new colour topology is meaningful, e.g. that no gluon
has obtained the same colour as anticolour index and thereby forms
a singlet on its own.  
   
   
 
 


 
 
pythia8-8.1.86.orig/phpdoc/ParticleDataScheme.php0000644000175000017500000021353212357553536020033 0ustar  sunsun

The Particle Data Scheme






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          The Particle Data Scheme
           
 
The particle data scheme may take somewhat longer to understand than 
the settings one. In particular the set of methods to access information 
is rather more varied, to allow better functionality for advanced usage. 
However, PYTHIA does come with a sensible default set of particle 
properties and decay tables. Thus there is no need to learn any of the 
methods on this page to get going. Only when you perceive a specific need 
does it make sense to learn the basics. 
 

           
The central section on this page is the Operation one. The preceding 
sections are there mainly to introduce the basic structure and the set 
of properties that can be accessed. The subsequent sections provide a 
complete listing of the existing public methods, which most users 
probably will have little interaction with. 
 

          Databases
           
 
The management of particle data is based on three classes: 

             

          • ParticleData, which is the top-level class, with 
methods that can be used to interrogate all particle data. It contains 
a map of PDG particle identity numbers [Yao06] onto the relevant 
ParticleDataEntry objects,
            •  

          • ParticleDataEntry, which stores the relevant information 
on an individual particle species, and
            •  

          • DecayChannel, which stores info on one particular decay 
mode of a particle.
            •  
 

           
The objects of these classes together form a database that is 
continuously being used as the program has to assign particle masses, 
select decay modes, etc. 
 

           
Each Pythia object has a public member 
particleData of the ParticleData class. 
Therefore you access the particle data methods as 
pythia.particleData.command(argument), 
assuming that pythia is an instance of the 
Pythia class. Further, for some of the most frequent user 
tasks, Pythia methods have been defined, so that 
pythia.command(argument) 
would work, see further below. 
 

           
A fundamental difference between the particle data classes and the 
settings ones is that the former are accessed regularly during the 
event generation process, as a new particle is produced and its mass 
need to be set, e.g., while the latter are mainly/only used 
at the initialization stage. Nevertheless, it is not a good idea to 
change data in either of them in mid-run, since this may lead to 
inconsistencies. 
 

          Stored properties for particles
           
 
The main properties stored for each particle are as follows. 
Different ways to set and get these properties will be described 
further down. 
 

             
 

          • name: a character string with the name of the 
particle. Particle and antiparticle names are stored separately, 
with void returned when no antiparticle exists.
            •  
 

          • spinType: the spin type, of the form 2 s + 1, 
with special code 0 for entries of unknown or indeterminate spin.
            •  
 

          • chargeType: three times the charge (to make it an 
integer).
            •  
 

          • colType: the colour type, with 0 uncoloured, 1 triplet, 
-1 antitriplet and 2 octet. (A preliminary implementation of colour 
  sextets, available since version 8.150, further uses 3 for a sextet 
  and -3 for an antisextet.) 
            •  
 

          • m0: the nominal mass m_0 (in GeV).
            •  
 

          • mWidth: the width Gamma of the Breit-Wigner 
distribution (in GeV).
            •  
 

          • mMin: the lower limit of the allowed mass range 
generated by the Breit-Wigner (in GeV). Has no meaning for particles 
without width, and would typically be 0 there.
            •  
 

          • mMax: the upper limit of the allowed mass range 
generated by the Breit-Wigner (in GeV). If mMax < mMin then 
no upper limit is imposed. Has no meaning for particles without width, 
and would typically be 0 there.
            •  
 

          • tau0: the nominal proper lifetime tau_0 
(in mm/c).
            •  
 

          • isResonance: a flag telling whether a particle species 
is considered as a resonance or not. Here 
";?>"resonance" is used as shorthand 
for any massive particle where the decay process should be counted as part 
of the hard process itself, and thus be performed before showers and other 
event aspects are added. Restrictions on allowed decay channels is also 
directly reflected in the cross section of simulated processes, while 
those of normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances.
            •  
 

          • mayDecay: a flag telling whether a particle species 
may decay or not, offering the main user switch. Whether a given particle 
of this kind then actually will decay also depends on it having allowed 
decay channels, and on other flags for 
";?>particle decays 
(or ";?>resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays.
            •  
 

          • doExternalDecays: a flag telling whether a particle 
should be handled by an external decay package or not, with the latter 
default. Can be manipulated as described on this page, but should 
normally not be. Instead the 
";?>Pythia::decayPtr(...) 
method should be provided with the list of relevant particles.
            •  
 

          • isVisible: a flag telling whether a particle species 
is to be considered as visible in a detector or not, as used e.g. in 
analysis routines. By default this includes neutrinos and a few BSM 
particles (gravitino, sneutrinos, neutralinos) that have neither strong 
nor electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector.
            •  
 

          • doForceWidth: a flag applicable only for resonances 
(see isResonance above), whereby it is possible to force 
resonances to retain their assigned width, whatever that is, see 
";?>Resonance Decays for details.
            •  
 

           
 

          Stored properties for decays
           
 
An unstable particle has a decay table consisting of one or more 
decay channel. The following properties are stored for each such channel. 
Again different ways to set and get these properties will be described 
further down. 

             
 

          • onMode: integer code for use or not of channel,
             
0 if a channel is off,
             
1 if on,
             
2 if on for a particle but off for an antiparticle,
             
3 if on for an antiparticle but off for a particle.
             
If a particle is its own antiparticle then 2 is on and 3 off 
but, of course, for such particles it is much simpler and safer 
to use only 1 and 0.
             
The 2 and 3 options can be used e.g. to encode CP violation in 
B decays, or to let the W's in a q qbar → W^+ W^- 
process decay in different channels. 
            •  
 

          • bRatio: the branching ratio of the channel 
(with some reservations for resonances, see meMode 
below).
            •  
 

          • meMode: the mode of processing this channel, possibly 
with matrix elements; see the 
";?>particle decays and 
";?>resonance decays 
descriptions for the list of possibilities. 
Notably the default code 0 for a particle means pure phase space 
decays according to the given branching ratios, while for a resonance 
it means that code exists for the dynamic calculations of partial 
widths and thereby branching ratios as a function of the resonance mass 
(which is done e.g. at initialization based on the mass set by the user). 
Then codes 1 - 99 are reserved for various matrix-element-improved 
ordinary particle decays, and 100 - 103 for resonances where the 
partial width of a given channel is calculated from the total width 
and the stored branching ratio. Thus, to enforce a new branching ratio 
for a resonance channel (with its own partial-width calculation code) 
it is not sufficient only to change the bRatio but also 
to set e.g. meMode = 100. 
            •  
 

          • multiplicity: the number of decay products of the 
channel. Can be at most 8.
            •  
 

          • product(i): the identity code of the decay products, 
where i runs between 0 and 
multiplicity - 1. Trailing positions are filled with 0. 

            •  
 

           
 

          Operation
           
 
The normal flow of the particle data operations is: 
 

             
 

          1.  
When a Pythia object pythia is created, the 
pythia.particleData member is asked to scan the 
ParticleData.xml file. 
 

             
All lines beginning with <particle are scanned for 
information on a particle species, and all lines beginning with 
<channel are assumed to contain a decay channel of the 
enclosing particle. In both cases XML syntax is used, with attributes 
used to identify the stored properties, and with omitted properties 
defaulting back to 0 where meaningful. The particle and channel 
information may be split over several lines, up to the > endtoken. 
The format of a <particle tag is: 

             
    <particle id="..." name="..." antiName="..." spinType="..." chargeType="..." colType="..." 
       m0="..." mWidth="..." mMin="..." mMax="..." tau0="..."> 
    </particle> 

             
where the fields are the properties already introduced above. 
Note that isResonance, mayDecay, 
doExternalDecay, isVisible and 
doForceWidth are not set here, but are provided with 
default values by the rules described above. Once initialized, also 
these latter properties can be changed, see below.
             
 
The format of  a <channel> tag is: 

             
    <channel onMode="..." bRatio="..." meMode="..." products="..." /> 

             
again see properties above. The products are given as a blank-separated 
list of id codes. 

            Important: the values in the .xml file should not 
be changed, except by the PYTHIA authors. Any changes should be done 
with the help of the methods described below. 

            2.  
 

          2.  
             
Between the creation of the Pythia object and the 
init call for it, you may use the methods of the 
ParticleData class to modify some of the default values. 
Several different approaches can be chosen for this. 
 

             
a) Inside your main program you can directly set values with 

             
    pythia.readString(string); 

             
where both the variable name and the value are contained inside 
the character string, separated by blanks and/or a =, e.g. 

             
    pythia.readString("111:mayDecay = off"); 

             
switches off the decays of the pi^0.
             
 
The particle id (> 0) and the property to be changed must be given, 
separated by a colon.
             
 
The allowed properties are: name, antiName, 
spinType, chargeType, colType, 
m0, mWidth, mMin, 
mMax, tau0, isResonance, 
mayDecay, doExternalDecay, 
isVisible and doForceWidth. All of these 
names are case-insensitive. Names that do not match an existing 
variable are ignored.
             
 
Strings beginning with a non-alphanumeric character, like # or !, 
are assumed to be comments and are not processed at all. For 
bool values, the following notation may be used 
interchangeably: true = on = yes = ok = 1, while everything 
else gives false (including but not limited to 
false, off, no and 
0). 
 

             
Particle data often comes in sets of closely related information. 
Therefore some properties expect the value to consist of several 
numbers. These can then be separated by blanks (or by commas). 
A simple example is names, which expects both the 
name and antiname to be given. A more interesting one is the 
all property, 

             
    id:all = name antiName spinType chargeType colType m0 mWidth mMin mMax tau0 

             
where all the current information on the particle itself is replaced, 
but any decay channels are kept unchanged. Using new instead 
of all also removes any previous decay channels. 
If the string contains fewer fields than expected the trailing 
properties are set to vanish ("void", 0 or 0.). Note that such a 
truncated string should not be followed by a comment, since this 
comment would then be read in as if it contained the missing properties. 
The truncation can be done anywhere, specifically a string with only 
id:new defines a new "empty" particle. 
As before, isResonance, mayDecay, 
doExternalDecay, isVisible and 
doForceWidth are (re)set to their default values, and 
would have to be changed separately if required. 
 

             
A further command is rescaleBR, which rescales each of the 
existing branching ratios with a common factor, such that their new 
sum is the provided value. This may be a first step towards adding 
new decay channels, see further below. 
 

             
Alternatively the id code may be followed by another integer, 
which then gives the decay channel number. This then has to be 
followed by the property specific to this channel, either 
onMode, bRatio, meMode or 
products. In the latter case all the products of 
the channel should be given: 

             
    id:channel:products =  product1 product2 .... 

             
The line will be scanned until the end of the line, or until a 
non-number word is encountered, or until the maximum allowed number 
of eight products is encountered, whichever happens first. (Thus the 
multiplicity of a decay channel need not be input; it is automatically 
calculated from the products list.) It is also possible to replace all 
the properties of a channel in a similar way: 

             
    id:channel:all = onMode bRatio meMode product1 product2 .... 

             
To add a new channel at the end, use 

             
    id:addChannel = onMode bRatio meMode product1 product2 .... 

             
 

             
It is currently not possible to remove a channel selectively, but 
setting its branching ratio vanishing is as effective. If you want to 
remove all existing channels and force decays into one new channel 
you can use 

             
    id:oneChannel = onMode bRatio meMode product1 product2 .... 

             
 A first oneChannel command could be followed by 
several subsequent addChannel ones, to build 
up a completely new decay table for an existing particle. 
 

             
When adding new channels or changing branching ratios in general, 
note that, once a particle is to be decayed, the sum of branching 
ratios is always rescaled to unity. Beforehand, rescaleBR 
may be used to rescale an existing branching ratio by the given factor. 
 

             
There are a few commands that will study all the decay channels of the 
given particle, to switch them on or off as desired. The 

             
    id:onMode = onMode 

             
will set the onMode property of all channels to the 
desired value. The 

             
    id:offIfAny   = product1 product2 .... 
    id:onIfAny    = product1 product2 .... 
    id:onPosIfAny = product1 product2 .... 
    id:onNegIfAny = product1 product2 .... 

             
will set the onMode 0, 1, 2 or 3, respectively, for all 
channels which contain any of the enumerated products, where the matching 
to these products is done without distinction of particles and 
antiparticles. Note that "Pos" and "Neg" 
are slightly misleading since it refers to the particle and antiparticle 
of the id species rather than charge, but should still be 
simpler to remember and understand than alternative notations. 
Correspondingly 

             
    id:offIfAll   = product1 product2 .... 
    id:onIfAll    = product1 product2 .... 
    id:onPosIfAll = product1 product2 .... 
    id:onNegIfAll = product1 product2 .... 

             
will set the onMode 0, 1, 2 or 3, respectively, for all 
channels which contain all of the enumerated products, again without 
distinction of particles and antiparticles. If the same product appears 
twice in the list it must also appear twice in the decay channel, and 
so on. The decay channel is allowed to contain further particles, 
beyond the product list. By contrast, 

             
    id:offIfMatch   = product1 product2 .... 
    id:onIfMatch    = product1 product2 .... 
    id:onPosIfMatch = product1 product2 .... 
    id:onPosIfMatch = product1 product2 .... 

             
requires the decay-channel multiplicity to agree with that of the product 
list, but otherwise works as the onIfAll/offIfAll methods. 
 

             
Note that the action of several of the commands depends on the order 
in which they are executed, as one would logically expect. For instance, 
id:oneChannel removes all decay channels of id 
and thus all previous changes in this decay table, while subsequent 
additions or changes would still take effect. Another example would be that 
23:onMode = off followed by 23:onIfAny = 1 2 3 4 5 
would let the Z^0 decay to quarks, while no decays would be 
allowed if the order were to be reversed. 
 

             
b) The Pythia readString(string) method actually 
does not do changes itself, but sends on the string either to the 
ParticleData class or to the Settings one, 
depending on whether the string begins with a digit or a letter. 
If desired, it is possible to communicate directly with the corresponding 
ParticleData method: 

             
    pythia.particleData.readString("111:mayDecay = off"); 
    pythia.particleData.readString("15:2:products = 16 -211"); 

             
In this case, changes intended for Settings would not be 
understood. 
 

             
c) Underlying this are commands for all the individual properties in 
the ParticleData class, one for each. These are 
further described below. Thus, an example now reads 

             
    pythia.particleData.mayDecay(111, false); 

             
Boolean values should here be given as true or 
false. 
 

             
d) A simpler and more useful way is to collect all your changes 
in a separate file, with one line per change, e.g. 

             
    111:mayDecay = off 

             
The file can be read by the 

             
    pythia.readFile(fileName); 

             
method, where fileName is a string, e.g. 
pythia.readFile("main.cmnd") (or an istream 
instead of a fileName). Each line is processed as 
described for the string in 2a). This file can freely mix commands to 
the Settings and ParticleData classes. 

            3.  
 

          3.  
             
A routine reInit(fileName) is provided, and can be used to 
zero the particle data table and reinitialize it from scratch. 
Such a call might be useful if several subruns are to be made with 
widely different particle data - normally the maps are only built 
from scratch once, namely when the Pythia() object is 
created. Also, there is no other possibility to restore the default 
values, unlike for the settings. 

            4.  
 

          4.  
             
You may at any time obtain a listing of all the particle data by calling 

             
    pythia.particleData.listAll(); 

             
The listing is by increasing id number. It shows the basic 
quantities introduced above. Some are abbreviated in the header to fit on 
the lines: spn = spinType, chg = chargeType, 
col = colType, res = isResonance, 
dec = mayDecay && canDecay (the latter checks that decay 
channels have been defined), ext = doExternalDecay, 
vis = isVisible and wid = doForceWidth.
             
 
To list only those particles that were changed (one way or another, the 
listing will not tell what property or decay channel was changed), instead use 

             
    pythia.particleData.listChanged(); 

             
(This info is based on a further hasChanged flag of a particle 
or a channel, set true whenever any of the changing methods are 
used. It is possible to manipulate this value, but this is not recommended.) 
By default the internal initialization of the widths of resonances such as 
gamma^*/Z^0, W^+-, t/tbar, H^0 do not count as changes; if you want 
to list also those changes instead call listChanged(true). 

             
 
To list only one particle, give its id code as argument to 
the list(...) function.. To list a restricted set of particles, 
give in their id codes to list(...) as a 
vector<int>. 

            5.  
 

          5.  
             
For wholesale changes of particle properties all available data can be 
written out, edited, and then read back in again. These methods are 
mainly intended for expert users. You can choose between two alternative 
syntaxes. 
 

             
a) XML syntax, using the <particle and 
<channel lines already described. You use the method 
particleData.listXML(fileName) to produce such an XML 
file and particleData.readXML(fileName) to read it back 
in after editing. 
 

             
b) Fixed/free format, using exactly the same information as illustrated 
for the <particle and <channel lines 
above, but now without any tags. This means that all information fields 
must be provided (if there is no antiparticle then write 
void), in the correct order (while the order is irrelevant 
with XML syntax), and all on one line. Information is written out in 
properly lined-up columns, but the reading is done using free format, 
so fields need only be separated by at least one blank. Each new particle 
is supposed to be separated by (at least) one blank line, whereas no 
blank lines are allowed between the particle line and the subsequent 
decay channel lines, if any.  You use the method 
particleData.listFF(fileName) to produce such a fixed/free 
file and particleData.readFF(fileName) to read it back 
in after editing. 
 

             
As an alternative to the readXML and readFF 
methods you can also use the 
particleData.reInit(fileName, xmlFormat) method, where 
xmlFormat = true (default) corresponds to reading an XML 
file and xmlFormat = false to a fixed/free format one. 
 

             
To check that the new particle and decay tables makes sense, you can use 
the particleData.checkTable() method, either directly or by 
switching it on among the standard 
";?>error checks. 

            6.  
 

           
 

          The public methods
           
 
In the following we present briefly the public methods in the three 
classes used to build up the particle database. The order 
is top-down, i.e from the full table of all particles to a single 
particle to a single channel. 
Note that these methods usually are less elegant and safe than the 
input methods outlined above. If you use any of these methods, it is 
likely to be the ones in the full database, i.e. the first ones to be 
covered in the following. 
 

           
For convenience, we have grouped related input and output methods 
together. It should be obvious from the context which is which: 
the input is of type void and has an extra last argument, 
namely is the input value, while the output method returns a 
quantity of the expected type. 
 

          The ParticleData methods
           
 


          ParticleData::ParticleData()   
          
the constructor has no arguments and does not do anything. Internal. 
   
 


          void ParticleData::initPtr(Info* infoPtr, Settings* settingsPtrIn, Rndm* rndmPtrIn, CoupSM* coupSMPtrIn)   
          
initialize pointers to a few other classes. Internal. 
   
 


          bool ParticleData::init(string startFile = "../xmldoc/ParticleData.xml")   
          
read in an XML-style file with particle data and initialize the 
particle data tables accordingly. This command is executed 
in the Pythia constructor, i.e. is mainly for 
internal use. 

          argument startFile  (default = ../xmldoc/ParticleData.xml) :  
the name of the data file to be read. When called from the 
Pythia constructor the directory is provided by the 
";?>PYTHIA8DATA 
environment variable, if set, else by the argument of this constructor, 
which has the default value "../xmldoc". 
   
   
 


          bool ParticleData::reInit(string startFile, bool xmlFormat = true)   
          
overwrite the existing database by reading from the specified file. 
Unlike init above this method is not called by the 
Pythia constructor, but is entirely intended for users 
who want to replace the existing particle data with their own. 

          argument startFile   : the path and name of file to be read. 
   

          argument xmlFormat   : if true read the same kind of XML-style file 
as used by init, if not use an alternative "free format" 
file (i.e. without any XML tags, but with well-defined rules 
specifying in which order properties are stored). 
   
   
 


          void ParticleData::initWidths( vector<ResonanceWidths*> resonancePtrs)   
          
initialize Breit-Wigner shape parameters for all particles, 
and the detailed handling of resonances, i.e. particles with 
perturbatively calculable partial widths, which can be used to 
obtain a mass-dependent Breit-Wigner and a dynamic choice of 
decay channels. Called from Pythia::init(). 
   
 


          bool ParticleData::readXML(string inFile, bool reset = true)   
          
   
void ParticleData::listXML(string outFile)   
          
read in XML-style data from a file or write it out to a file. For the 
former one can also decide whether to reset all particles to scratch, 
or only overwrite those particles in the file. The former method is 
used by init and reInit above. 
   
 


          bool ParticleData::readFF(string inFile, bool reset = true)   
          
   
void ParticleData::listFF(string outFile)   
          
read in free-format-style data from a file or write it out to a file. 
For the former one can also decide whether to reset all particles to 
scratch, or only overwrite those particles in the file. The former 
method is used by reInit above. 
   
 


          bool ParticleData::readString(string line, bool warn = true, ostream& os = cout)   
          
read in a string and interpret is as a new or changed particle data. 
The possibilities are extensively described above. It is normally 
used indirectly, via Pythia::readString(...) and 
Pythia::readFile(...). 

          argument line   :  
the string to be interpreted as an instruction. 
   

          argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the particle does not exist in the database. 
   

          argument os  (default = cout) :  
stream for error printout. 
   

          Note: the method returns false if it fails to 
make sense out of the input string. 
   
 


          void ParticleData::listAll(ostream& os = cout)   
          
   
void ParticleData::listChanged(ostream& os = cout)   
          
   
void ParticleData::listChangedAndRes(ostream& os = cout)   
          
   
void ParticleData::list(bool changedOnly = false, bool changedRes = true, ostream& os = cout)   
          
methods intended to present a listing of particle data in a readable 
format. The first three are special cases of the fourth. The first 
lists all particle data, the second only data for those particles that 
were changed after the original creation of the particle data table. 
Resonances are a special case since they can get their data changed 
by being linked to an object that does the calculation of branching 
ratios. The second method does not count such resonances as changed, 
whereas the third does and thus lists all resonances. 
   
 


          void ParticleData::list(int idList, ostream& os = cout)   
          
   
void ParticleData::list(vector<int> idList, ostream& os = cout)   
          
list particle data for one single particle, with the identity code as 
input, or for a set of particles, with an input vector of identity codes. 
   
 


          void ParticleData::checkTable(ostream& os = cout)   
          
   
void ParticleData::checkTable(int verbosity, ostream& os = cout)   
          
check that the particle decay table makes sense, especially for decays. 

          argument verbosity   :  level of checks. 0 is only minimal, 
e.g. if a particle has no open decay channels. 1, which is the level 
of the first method, provides warning if any individual channel is 
closed, except for resonances. 2 also prints the 
branching-ratio-averaged threshold mass. 11 and 12 are like 1 and 2, 
but also include resonances in the detailed checks. 
   
   
 


          void ParticleData::addParticle(int id, string name = " ", int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   
          
   
void ParticleData::addParticle(int id, string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   
          
add a particle to the decay table; in the first form a particle which is 
its own antiparticle, in the second where a separate antiparticle exists. 
   
 


          void ParticleData::setAll(int id, string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0.,double tau0 = 0.)   
          
change all the properties of the particle associated with a given 
identity code. 
   
 


          bool ParticleData::isParticle(int id)   
          
query whether the particle data table contains the particle of the 
identity code. 
   
 


          int ParticleData::nextId(int id)   
          
return the identity code of the sequentially next particle stored in table. 
   
 


          bool ParticleData::hasAnti(int id)   
          
bool whether a distinct antiparticle exists or not. Is true if an 
antiparticle name has been set (and is different from 
void). 
   
 


          void ParticleData::name(int id, string name)   
          
   
void ParticleData::antiName(int id, string antiName)   
          
   
void ParticleData::names(int id, string name, string antiName)   
          
   
string ParticleData::name(int id)   
          
particle and antiparticle names are stored separately, the sign of 
id determines which of the two is returned, with 
void used to indicate the absence of an antiparticle. 
   
 


          void ParticleData::spinType(int id, int spinType)   
          
   
int ParticleData::spinType(int id)   
          
the spin type, of the form 2 s + 1, with special code 0 
for entries of unknown or indeterminate spin. 
   
 


          void ParticleData::chargeType(int id, int chargeType)   
          
   
int ParticleData::chargeType(int id)   
          
three times the charge (to make it an integer), taking into account 
the sign of id. 
   
 


          double ParticleData::charge(int id)   
          
the electrical charge of a particle, equal to 
chargeType(id)/3. 
   
 


          void ParticleData::colType(int id, int colType)   
          
   
int ParticleData::colType(int id)   
          
the colour type, with 0 uncoloured, 1 triplet, -1 antitriplet and 2 
octet, taking into account the sign of id. 
   
 


          void ParticleData::m0(int id, double m0)   
          
   
double ParticleData::m0(int id)   
          
the nominal mass m_0 (in GeV). 
   
 


          void ParticleData::mWidth(int id, double mWidth)   
          
   
double ParticleData::mWidth(int id)   
          
the width Gamma of the Breit-Wigner distribution (in GeV). 
   
 


          void ParticleData::mMin(int id, double mMin)   
          
   
double ParticleData::mMin(int id)   
          
the lower limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). Has no meaning for particles without width, and would 
typically be 0 there. 
   
 


          void ParticleData::mMax(int id, double mMax)   
          
   
double ParticleData::mMax(int id)   
          
the upper limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). If mMax < mMin then no upper limit is imposed. 
Has no meaning for particles without width, and would typically 
be 0 there. 
   
 


          double ParticleData::m0Min(int id)   
          
similar to mMin() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


          double ParticleData::m0Max(int id)   
          
similar to mMax() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


          void ParticleData::tau0(int id, double tau0)   
          
   
double ParticleData::tau0(int id)   
          
the nominal proper lifetime tau_0 (in mm/c). 
   
 


          void ParticleData::isResonance(int id, bool isResonance)   
          
   
bool ParticleData::isResonance(int id)   
          
a flag telling whether a particle species are considered as a resonance 
or not. Here ";?>"resonance" 
is used as shorthand for any massive particle 
where the decay process should be counted as part of the hard process 
itself, and thus be performed before showers and other event aspects 
are added. Restrictions on allowed decay channels is also directly 
reflected in the cross section of simulated processes, while those of 
normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances. 
   
 


          void ParticleData::mayDecay(int id, bool mayDecay)   
          
   
bool ParticleData::mayDecay(int id)   
          
a flag telling whether a particle species may decay or not, offering 
the main user switch. Whether a given particle of this kind then actually 
will decay also depends on it having allowed decay channels, and on 
other flags for ";?>particle decays 
(or ";?>resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays. 
   
 


          void ParticleData::doExternalDecays(int id, bool doExternalDecays)   
          
   
bool ParticleData::doExternalDecay(int id)   
          
a flag telling whether a particle should be handled by an external 
decay package or not, with the latter default. Can be manipulated as 
described on this page, but should normally not be. Instead the 
";?>pythia.decayPtr 
method should be provided with the list of relevant particles. 
   
 


          void ParticleData::isVisible(int id, bool isVisible)   
          
   
bool ParticleData::isVisible(int id)   
          
a flag telling whether a particle species is to be considered as 
visible in a detector or not, as used e.g. in analysis routines. 
By default this includes neutrinos and a few BSM particles 
(gravitino, sneutrinos, neutralinos) that have neither strong nor 
electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector. 
   
 


          void ParticleData::doForceWidth(int id, bool doForceWidth)   
          
   
bool ParticleData::doForceWidth(int id)   
          
a flag applicable only for resonances (see isResonance above), 
whereby it is possible to force resonances to retain their assigned widths, 
whatever that is, see ";?>Resonance Decays 
for details. The normal behaviour is false, i.e. the width 
is based on hardcoded calculations whenever available. 
   
 


          void ParticleData::hasChanged(int id, bool hasChanged)   
          
   
bool ParticleData::hasChanged(int id)   
          
keep track of whether the data for a particle has been changed 
in any respect between initialization and the current status. 
Is used e.g. by the listChanged method to determine 
which particles to list. 
   
 


          bool ParticleData::useBreitWigner(int id)   
          
tells whether a particle will have a Breit-Wigner mass distribution or 
not. Is determined by an internal logic based on the particle width and 
on the value of the 
";?>ParticleData:modeBreitWigner 
switch. 
   
 


          double ParticleData::constituentMass(int id)   
          
is the constituent mass for a quark, hardcoded as 
m_u = m_d = 0.325, m_s = 0.50, m_c = 1.60 
and m_b = 5.0 GeV, for a diquark the sum of quark constituent 
masses, and for everything else the same as the ordinary mass. 
   
 


          double ParticleData::mSel(int id)   
          
returns a mass distributed according to a truncated Breit-Wigner, 
with parameters as described here. Is equal to m0(id) for 
particles without width. 
   
 


          double ParticleData::mRun(int id, double mH)   
          
calculate the running mass of species id when probed at a 
hard mass scale of mH. Only applied to obtain the 
running quark masses; for all other particle the normal fixed mass 
is used. 
   
 


          bool ParticleData::canDecay(int id)   
          
true for a particle with at least one decay channel defined. 
   
 


          bool ParticleData::isLepton(int id)   
          
true for a lepton or an antilepton (including neutrinos). 
   
 


          bool ParticleData::isQuark(int id)   
          
true for a quark or an antiquark. 
   
 


          bool ParticleData::isGluon(int id)   
          
true for a gluon. 
   
 


          bool ParticleData::isDiquark(int id)   
          
true for a diquark or antidiquark. 
   
 


          bool ParticleData::isParton()   
          
true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
   
 


          bool ParticleData::isHadron(int id)   
          
true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
   
 


          bool ParticleData::isMeson(int id)   
          
true for a meson. 
   
 


          bool ParticleData::isBaryon(int id)   
          
true for a baryon or antibaryon. 
   
 


          bool ParticleData::isOctetHadron(int id)   
          
true for an intermediate hadron-like state with a colour octet charge 
as used in the colour octet model for 
";?>onia production. 
   
 


          int ParticleData::heaviestQuark(int id)   
          
extracts the heaviest quark or antiquark, i.e. one with largest 
id number, for a hadron. 
   
 


          int ParticleData::baryonNumberType(int id)   
          
is 1 for a quark, 2 for a diquark, 3 for a baryon, the same with a 
minus sign for antiparticles, and else zero. 
   
 


          void ParticleData::rescaleBR(int id, double newSumBR = 1.)   
          
rescales all partial branching ratios by a common factor, such that 
the sum afterward becomes newSumBR. 
   
 


          void setResonancePtr(int id, ResonanceWidths* resonancePtr)   
          
set a pointer for a particle kind to a ResonanceWidths object. 
This is done, from inside ParticleData::initWidths, only for 
resonances, i.e. for particles such as Z^0, W^+-, top, 
Higgs, and new unstable states beyond the Standard Model. The presence 
of such an object will allow a more dynamic calculation of partial and 
total widths, as illustrated by the following methods. 
   
 


          void ParticleData::resInit(int id)   
          
initialize the treatment of a resonance. 
   
 


          double ParticleData::resWidth(int id, double mHat, int idInFlav = 0, bool openOnly = false, bool setBR = false)   
          
calculate the total with for a resonance of a given current mass, 
optionally including coupling to incoming flavour state (consider 
the gamma*/Z^0 combination), optionally excluding decay 
channels that have been closed by the user, and optionally storing 
the results in the normal decay table. 
   
 


          double ParticleData::resWidthOpen(int id, double mHat, int idInFlav = 0)   
          
special case of resWidth, where only open channels are 
included, but results are not stored in the normal decay table. 
   
 


          double ParticleData::resWidthStore(int id, double mHat, int idInFlav = 0)   
          
special case of resWidth, where only open channels are 
included, and results are stored in the normal decay table. 
   
 


          double ParticleData::resOpenFrac(int id1, int id2 = 0, int id3 = 0)   
          
calculate the fraction of the full branching ratio that is left 
open by the user choice of allowed decay channels. Can be applied 
to a final state with up to three resonances. Since the procedure 
is multiplicative, it would be easy to generalize also to more. 
   
 


          double ParticleData::resWidthRescaleFactor(int id)   
          
the factor used to rescale all partial widths in case the total 
width is being forced to a specific value by the user. 
   
 


          double ParticleData::resWidthChan(int id, double mHat, int idAbs1 = 0, int idAbs2 = 0)   
          
special case to calculate one final-state width; currently only used 
for Higgs decay to q qbar, g g or 
gamma gamma. 
   
 


          ParticleDataEntry* ParticleData::particleDataEntryPtr(int id)   
          
returns a pointer to the ParticleDataEntry object. 
The methods in the next section can then be used to manipulate 
this object. 
   
  

          The ParticleDataEntry methods
           
 
Most of the methods that can be applied to a single 
ParticleDataEntry object are almost identical with 
those used above for the ParticleData, except 
that the id argument is no longer needed to find 
the right entry in the table. By and large, this makes direct 
access to the ParticleDataEntry methods superfluous. 
There are a few methods that are unique to each class, however. 
Furthermore, to avoid some naming ambiguities, many methods that 
set values begin with set. 
 


          ParticleDataEntry::ParticleDataEntry(int id = 0, string name = " ", int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   
          
   
ParticleDataEntry::ParticleDataEntry(int id, string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0., double tau0 = 0.)   
          
there are two alternative constructors, that both expect the 
properties of a particle as input. The first assumes that there 
is only one particle, the latter that there is a 
particle-antiparticle pair (but if the antiparticle name is 
void one reverts back to the particle-only case). 
   
 


          ParticleDataEntry::~ParticleDataEntry   
          
the destructor is needed to delete any ResonanceWidths 
objects that have been created and linked to the respective particle. 
   
 


          void ParticleDataEntry::setDefaults()   
          
initialize some particle flags with default values, e.g. whether 
a particle is a resonance, may decay, or is visible. Is called from the 
constructors and from setAll. 
   
 


          void ParticleDataEntry::initPtr(ParticleData* particleDataPtrIn)   
          
initialize pointer back to the whole database (so that masses of 
decay products can be accessed, e.g.). 
   
 


          void ParticleDataEntry::setAll( string name, string antiName, int spinType = 0, int chargeType = 0, int colType = 0, double m0 = 0., double mWidth = 0., double mMin = 0., double mMax = 0.,double tau0 = 0.)   
          
change all the properties of the particle associated with a given 
identity code. 
   
 


          int ParticleDataEntry::id()   
          
the PDG identity code. 
   
 


          bool ParticleDataEntry::hasAnti()   
          
tell whether a separate antiparticle exists. 
   
 


          void ParticleDataEntry::setName(string name)   
          
   
void ParticleDataEntry::setAntiName(string antiName)   
          
   
void ParticleDataEntry::setNames(string name, string antiName)   
          
   
string ParticleDataEntry::name(int id = 1)   
          
set or get the particle or antiparticle name. Only the sign of 
id is needed to distinguish particle/antiparticle. 
   
 


          void ParticleDataEntry::setSpinType(int spinType)   
          
   
int ParticleDataEntry::spinType()   
          
set or get the particle spin type, i.e. 2 s + 1, or 0 in some 
special cases. 
   
 


          void ParticleDataEntry::setChargeType(int chargeType)   
          
   
int ParticleDataEntry::chargeType(int id = 1)   
          
   
double ParticleDataEntry::charge(int id = 1)   
          
set or get the particle charge type, i.e. three times the charge, 
or the charge itself. Only the sign of id is needed 
to distinguish particle/antiparticle. 
   
 


          void ParticleDataEntry::setColType(int colType)   
          
   
int ParticleDataEntry::colType(int id = 1)   
          
set or get the particle colour type, 0 for singlet, 1 for triplet, 
-1 for antitriplet, 2 for octet. Only the sign of id 
is needed to distinguish particle/antiparticle. 
   
 


          void ParticleDataEntry::setM0(double m0)   
          
   
double ParticleDataEntry::m0()   
          
the nominal mass m_0 (in GeV). 
   
 


          void ParticleDataEntry::setMWidth(double mWidth)   
          
   
double ParticleDataEntry::mWidth()   
          
the width Gamma of the Breit-Wigner distribution (in GeV). 
   
 


          void ParticleDataEntry::setMMin(double mMin)   
          
   
double ParticleDataEntry::mMin()   
          
the lower limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). Has no meaning for particles without width, and would 
typically be 0 there. 
   
 


          void ParticleDataEntry::setMMax(double mMax)   
          
   
double ParticleDataEntry::mMax()   
          
the upper limit of the allowed mass range generated by the Breit-Wigner 
(in GeV). If mMax < mMin then no upper limit is imposed. 
Has no meaning for particles without width, and would typically 
be 0 there. 
   
 


          double ParticleDataEntry::m0Min()   
          
similar to mMin() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


          double ParticleDataEntry::m0Max()   
          
similar to mMax() above, except that for particles with 
no width the m0(id) value is returned. 
   
 


          void ParticleDataEntry::setTau0(double tau0)   
          
   
double ParticleDataEntry::tau0()   
          
the nominal proper lifetime tau_0 (in mm/c). 
   
 


          void ParticleDataEntry::setIsResonance(bool isResonance)   
          
   
bool ParticleDataEntry::isResonance()   
          
a flag telling whether a particle species are considered as a resonance 
or not. Here ";?>"resonance" 
is used as shorthand for any massive particle 
where the decay process should be counted as part of the hard process 
itself, and thus be performed before showers and other event aspects 
are added. Restrictions on allowed decay channels is also directly 
reflected in the cross section of simulated processes, while those of 
normal hadrons and other light particles are not. 
In practice, it is reserved for states above the b bbar 
bound systems in mass, i.e. for W, Z, t, Higgs states, 
supersymmetric states and (most?) other states in any new theory. 
All particles with m0 above 20 GeV are by default 
initialized to be considered as resonances. 
   
 


          void ParticleDataEntry::setMayDecay(bool mayDecay)   
          
   
bool ParticleDataEntry::mayDecay()   
          
a flag telling whether a particle species may decay or not, offering 
the main user switch. Whether a given particle of this kind then actually 
will decay also depends on it having allowed decay channels, and on 
other flags for ";?>particle decays 
(or ";?>resonance decays). 
All particles with tau0 below 1000 mm are 
by default initialized to allow decays. 
   
 


          void ParticleDataEntry::setDoExternalDecays(bool doExternalDecays)   
          
   
bool ParticleDataEntry::doExternalDecay()   
          
a flag telling whether a particle should be handled by an external 
decay package or not, with the latter default. Can be manipulated as 
described on this page, but should normally not be. Instead the 
";?>pythia.decayPtr 
method should be provided with the list of relevant particles. 
   
 


          void ParticleDataEntry::setIsVisible(bool isVisible)   
          
   
bool ParticleDataEntry::isVisible()   
          
a flag telling whether a particle species is to be considered as 
visible in a detector or not, as used e.g. in analysis routines. 
By default this includes neutrinos and a few BSM particles 
(gravitino, sneutrinos, neutralinos) that have neither strong nor 
electromagnetic charge, and are not made up of constituents that 
have it. The value of this flag is only relevant if a particle is 
long-lived enough actually to make it to a detector. 
   
 


          void ParticleDataEntry::setDoForceWidth(bool doForceWidth)   
          
   
bool ParticleDataEntry::doForceWidth()   
          
a flag applicable only for resonances (see isResonance above), 
whereby it is possible to force resonances to retain their assigned widths, 
whatever that is, see ";?>Resonance Decays 
for details. The normal behaviour is false, i.e. the width 
is based on hardcoded calculations whenever available. 
   
 


          void ParticleDataEntry::setHasChanged(bool hasChanged)   
          
   


          void ParticleDataEntry::hasChanged(bool hasChanged)   
          
keep track of whether the data for a particle has been changed 
in any respect between initialization and the current status. 
Is used e.g. by the ParticleData::listChanged method 
to determine which particles to list. 
   
 


          void ParticleDataEntry::initBWmass()   
          
Prepare the Breit-Wigner mass selection by precalculating 
frequently-used expressions. 
   
 


          double ParticleDataEntry::constituentMass()   
          
is the constituent mass for a quark, hardcoded as 
m_u = m_d = 0.325, m_s = 0.50, m_c = 1.60 
and m_b = 5.0 GeV, for a diquark the sum of quark constituent 
masses, and for everything else the same as the ordinary mass. 
   
 


          double ParticleDataEntry::mSel()   
          
give the mass of a particle, either at the nominal value 
or picked according to a (linear or quadratic) Breit-Wigner. 
   
 


          double ParticleDataEntry::mRun(double mH)   
          
calculate the running quark mass at a hard scale mH. 
For other particles the on-shell mass is given. 
   
 


          bool ParticleDataEntry::useBreitWigner()   
          
tells whether a particle will have a Breit-Wigner mass distribution or 
not. Is determined by an internal logic based on the particle width and 
on the value of the ";?> 
ParticleData:modeBreitWigner switch. 
   
 


          bool ParticleDataEntry::canDecay(int id)   
          
true for a particle with at least one decay channel defined. 
   
 


          bool ParticleDataEntry::isLepton()   
          
true for a lepton or an antilepton (including neutrinos). 
   
 


          bool ParticleDataEntry::isQuark()   
          
true for a quark or an antiquark. 
   
 


          bool ParticleDataEntry::isGluon()   
          
true for a gluon. 
   
 


          bool ParticleDataEntry::isDiquark()   
          
true for a diquark or antidiquark. 
   
 


          bool ParticleDataEntry::isParton()   
          
true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
   
 


          bool ParticleDataEntry::isHadron()   
          
true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
   
 


          bool ParticleDataEntry::isMeson()   
          
true for a meson. 
   
 


          bool ParticleDataEntry::isBaryon()   
          
true for a baryon or antibaryon. 
   
 


          bool ParticleDataEntry::isOctetHadron()   
          
true for an intermediate hadron-like state with a colour octet charge 
as used in the colour octet model for 
";?>onia production. 
   
 


          int ParticleDataEntry::heaviestQuark(int id)   
          
extracts the heaviest quark or antiquark, i.e. one with largest 
id number, for a hadron. Only the sign of the input 
argument is relevant. 
   
 


          int ParticleDataEntry::baryonNumberType(int id)   
          
is 1 for a quark, 2 for a diquark, 3 for a baryon, the same with a 
minus sign for antiparticles, and else zero. Only the sign of the 
input argument is relevant. 
   
 


          void ParticleDataEntry::clearChannels()   
          
resets to an empty decay table. 
   
 


          void ParticleDataEntry::addChannel(int onMode = 0, double bRatio = 0., int meMode = 0, int prod0 = 0, int prod1 = 0, int prod2 = 0, int prod3 = 0, int prod4 = 0, int prod5 = 0, int prod6 = 0,  int prod7 = 0,)   
          
adds a decay channel with up to 8 products. 
   
 


          int ParticleDataEntry::sizeChannels()   
          
returns the number of decay channels for a particle. 
   
 


          DecayChannel& ParticleDataEntry::channel(int i)   
          
   
const DecayChannel& ParticleDataEntry::channel(int i)   
          
gain access to a specified channel in the decay table. 
   
 


          void ParticleDataEntry::rescaleBR(double newSumBR = 1.)   
          
rescales all partial branching ratios by a common factor, such that 
the sum afterward becomes newSumBR. 
   
 


          bool ParticleDataEntry::preparePick(int idSgn, double mHat = 0., int idInFlav = 0)   
          
prepare to pick a decay channel. 
   
 


          DecayChannel& ParticleDataEntry::pickChannel()   
          
pick a decay channel according to branching ratios from 
preparePick. 
   
 


          void ParticleDataEntry::setResonancePtr(ResonanceWidths* resonancePtr)   
          
   
ResonanceWidths* ParticleDataEntry::getResonancePtr()   
          
set or get a pointer to an object that can be used for dynamic calculation 
of partial and total resonance widths. Here a resonance is a particle 
such as top, Z^0, W^+-, Higgs, and new unstable states 
beyond the Standard Model. 
   
 


          void ParticleDataEntry::resInit(Info* infoPtrIn, Settings* settingsPtrIn, ParticleData* particleDataPtrIn, CoupSM* coupSMPtrIn)   
          
initialize the treatment of a resonance. 
   
 


          double ParticleDataEntry::resWidth(int idSgn, double mHat, int idInFlav = 0, bool openOnly = false, bool setBR = false)   
          
calculate the total with for a resonance of a given current mass, 
optionally including coupling to incoming flavour state (consider 
the gamma*/Z^0 combination), optionally excluding decay 
channels that have been closed by the user, and optionally storing 
the results in the normal decay table. For the first argument only 
the sign is relevant. 
   
 


          double ParticleDataEntry::resWidthOpen(int idSgn, double mHat, int idInFlav = 0)   
          
special case of resWidth, where only open channels are 
included, but results are not stored in the normal decay table. 
   
 


          double ParticleDataEntry::resWidthStore(int idSgn, double mHat, int idInFlav = 0)   
          
special case of resWidth, where only open channels are 
included, and results are stored in the normal decay table. 
   
 


          double ParticleDataEntry::resOpenFrac(int idSgn)   
          
calculate the fraction of the full branching ratio that is left 
open by the user choice of allowed decay channels. 
   
 


          double ParticleDataEntry::resWidthRescaleFactor()   
          
the factor used to rescale all partial widths in case the total 
width is being forced to a specific value by the user. 
   
 


          double ParticleDataEntry::resWidthChan(double mHat, int idAbs1 = 0, int idAbs2 = 0)   
          
special case to calculate one final-state width; currently only used 
for Higgs decay to q qbar, g g or 
gamma gamma. 
   
 

          The DecayChannel methods
           
 
The properties stored in an individual decay channel can be set or get 
by the methods in this section. 
 


          DecayChannel::DecayChannel(int onMode = 0, double bRatio = 0., int meMode = 0, int prod0 = 0, int prod1 = 0, int prod2 = 0, int prod3 = 0, int prod4 = 0, int prod5 = 0, int prod6 = 0, int prod7 = 0)   
          
the constructor for a decay channel. Internal. 
   
 


          void DecayChannel::onMode(int onMode)   
          
   
int DecayChannel::onMode()   
          
set or get the onMode of a decay channel,
           
0 if a channel is off,
           
1 if on,
           
2 if on for a particle but off for an antiparticle,
           
3 if on for an antiparticle but off for a particle.
           
If a particle is its own antiparticle then 2 is on and 3 off 
but, of course, for such particles it is much simpler and safer 
to use only 1 and 0.
           
The 2 and 3 options can be used e.g. to encode CP violation in 
B decays, or to let the W's in a q qbar → W^+ W^- 
process decay in different channels. 
   
 


          void DecayChannel::bRatio(double bRatio, bool countAsChanged = true)   
          
   
double DecayChannel::bRatio()   
          
set or get the branching ratio of the channel. Second argument only 
for internal use. 
   
 


          void DecayChannel::rescaleBR(double fac)   
          
multiply the current branching ratio by fac. 
   
 


          void DecayChannel::meMode(int meMode)   
          
   
int DecayChannel::meMode()   
          
set or get the mode of processing this channel, possibly with matrix 
elements (see the ";?>particle decays 
and ";?>resonance decays descriptions). 
   
 


          void DecayChannel::multiplicity(int multiplicity)   
          
   
int DecayChannel::multiplicity()   
          
set or get the number of decay products in a channel, at most 8. 
(Is normally not to be set by hand, since it is automatically 
updated whenever the products list is changed.) 
   
 


          void DecayChannel::product(int i, int product)   
          
   
int DecayChannel::product(int i)   
          
set or get a list of the decay products, 8 products 0 <= i < 8, 
with trailing unused ones set to 0. 
   
 


          void DecayChannel::setHasChanged(bool hasChanged)   
          
   
bool DecayChannel::hasChanged()   
          
used for internal purposes, to know which decay modes have been changed. 
   
 


          bool DecayChannel::contains(int id1)   
          
   
bool DecayChannel::contains(int id1, int id2)   
          
   
bool DecayChannel::contains(int id1, int id2, int id3)   
          
find if the decay product list contains the one, two or three particle 
identities provided. If the same code is repeated then so must it be in 
the products list. Matching also requires correct sign. 
   
 


          void DecayChannel::currentBR(double currentBR)   
          
   
double DecayChannel::currentBR()   
          
set or get the current branching ratio, taking into account on/off 
switches and dynamic width for resonances. For internal use. 
   
 


          void DecayChannel::onShellWidth(double onShellWidth)   
          
   
double DecayChannel::onShellWidth()   
          
set or get the current partial width of the channel; intended for 
resonances where the widths are recalculated based on the current 
resonance mass. For internal use. 
   
 


          void DecayChannel::onShellWidthFactor(double factor)   
          
multiply the current partial width by factor. 
   
 


          void DecayChannel::openSec(int idSgn, double openSecIn)   
          
   
double DecayChannel::openSec(nt idSgn)   
          
set or get the fraction of secondary open widths, separately for 
positive and negative particles. For internal use. 
   
 


 
 
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Program Classes






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
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?>


 

          Program Classes
           
 
The complete PYTHIA 8 package contains 
";?>a multitude of classes. 
There is no reason to describe all of them, with all of their 
methods, since most should not be touched by a normal user. 
Nevertheless some of the crucial ones are described in detail, 
as a help not only to advanced users but also to developers. 
We here provide a quick reference (still incomplete) which 
classes you can find described where on these pages. Normally 
you have to scroll down to find the details, since the top of 
the page contains information of more general interest. 
 

           

           
 

           
Class 
Reference 
Comment 

           
 

           
BeamShape 
";?>Beam Shape 
vertex and beam momentum spread 

           
 

           
CellJet 
";?>Event Analysis 
jet cone clustering analysis, intended for hadron collider 
topologies 

           
 

           
ClusterJet 
";?>Event Analysis 
jet clustering analysis, intended for e^+e^- 
collider topologies 

           
 

           
CoupSM 
";?>Standard Model Parameters 
couplings and mixing matrices 

           
 

           
CoupSUSY 
";?>SUSY Les Houches Accord 
compute and store SUSY couplings, using input from SusyLesHouches 

           
 

           
DecayChannel 
";?>Particle Data Scheme 
the properties of a single decay channel of  particle species 

           
 

           
Event 
";?>Event Record 
the complete event record 

           
 

           
HepMC::Pythia8ToHepMC 
";?>HepMC Interface 
convert a PYTHIA event record to the HepMC format 

           
 

           
Hist 
";?>Histograms 
a primitive built-in histogramming package 

           
 

           
Info 
";?>Event Information 
various one-of-a-kind information on the current event 

           
 

           
LHAPDFInterface 
";?>Parton Distributions 
use PDF sets from the LHAPDF library 

           
 

           
LHAup 
";?>Les Houches Accord 
base class for Les Houches external hard-event input 

           
 

           
Particle 
";?>Particle Properties 
the properties of a particle in the event record 

           
 

           
ParticleData 
";?>Particle Data Scheme 
the database of particle species properties 

           
 

           
ParticleDataEntry 
";?>Particle Data Scheme 
the properties of a particle species 

           
 

           
PDF 
";?>Parton Distributions 
base class for all PDFs 

           
 

           
Pythia 
";?>Program Flow 
the top-level class, that drives the generation process 

           
 

           
ResonanceWidths 
";?>Semi-Internal Resonances 
base class for all resonance-width treatment 

           
 

           
Rndm 
";?>RandomNumbers 
a primitive built-in histogramming package 

           
 

           
RotBstMatrix 
";?>Four-Vectors 
rotation and boosts of four-vectors 

           
 

           
Settings 
";?>Settings Scheme 
the database that regulates the behaviour of the program 

           
 

           
SigmaProcess 
";?>Semi-Internal Processes 
base class for all hard-process cross sections 

           
 

           
SlowJet 
";?>Event Analysis 
simple jet clustering using the kT, anti-kT or 
Cambridge/Aachen algorithms. 

           
 

           
SpaceShower 
";?>Implement New Showers 
spacelike, i..e. initial-state showers 

           
 

           
Sphericity 
";?>Event Analysis 
sphericity analysis of events 

           
 

           
SusyLesHouches 
";?>SUSY Les Houches Accord 
reading in of SLHA information 

           
 

           
Thrust 
";?>Event Analysis 
thrust analysis of events 

           
 

           
TimeShower 
";?>Implement New Showers 
timelike, i..e. final-state showers 

           
 

           
UserHooks 
";?>User Hooks 
get access to some steps of the generation process 

           
 

           
Vec4 
";?>Four-Vectors 
four-vectors 

           
 

           
 
";?> 
 

           
 

           
 
";?> 
 

           
 

           
 

           
You can also access an extensive list of the public 
";?>methods in these classes, 
which compensates for the brevity of the current page. 
 
 
pythia8-8.1.86.orig/phpdoc/CompositenessProcesses.php0000644000175000017500000004476512357553536021105 0ustar  sunsun

Compositeness Processes






SETTINGS SAVED TO FILE

          "; }
else {
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          "; }
}
?>


 

          Compositeness Processes
           
 
Compositeness scenarios may give rise to sharp resonances of excited 
quarks and leptons. An excited copy of the first generation is 
implemented, consisting of spin 1/2 particles. The possibility of 
contact interactions between SM fermions is also implemented in the 
context of 2 → 2 quark or fermion-lepton scattering. 
 

           
Related to excited fermions, the current implementation contains gauge 
interaction production by quark-gluon fusion or lepton-photon fusion 
and contact interaction production by quark-quark or quark-antiquark 
scattering. For both the 2 → 1 and 2 → 2 processes 
a non-trivial angular dependence is included in the decay, however, 
only decays into gauge bosons are supported, i.e. not decays through 
contact interactions. In additions to the compositeness scale and couplings 
listed below, you are expected to change the excited-fermion masses in 
accordance with what is desired. See [Bau90] for conventions. 
 

           
The contact interactions are implemented according to [Eic83]. 
The processes include the SM contributions as well as interference. 
For this reason the processes below converge toward the SM equivalents 
when the contact interaction contributions are close to zero, e.g. 
HardQCD:qq2qq and HardQCD:qqbar2qqbarNew in 
the case of quark scattering. 
 

          Excited fermions, production processes
           
 
A few different production processes have been implemented, which normally 
would not overlap and therefore could be run together. 
 


          ExcitedFermion:all  On
Off
   (default = off)
          
Common switch for the group of implemented processes that produce an 
excited fermion. 
   
 


          ExcitedFermion:dg2dStar  On
Off
   (default = off)
          
Scatterings d g → d^*. 
Code 4001. 
   
 


          ExcitedFermion:ug2uStar  On
Off
   (default = off)
          
Scatterings u g → u^*. 
Code 4002. 
   
 


          ExcitedFermion:sg2sStar  On
Off
   (default = off)
          
Scatterings s g → s^*. 
Code 4003. 
   
 


          ExcitedFermion:cg2cStar  On
Off
   (default = off)
          
Scatterings c g → c^*. 
Code 4004. 
   
 


          ExcitedFermion:bg2bStar  On
Off
   (default = off)
          
Scatterings b g → b^*. 
Code 4005. 
   
 


          ExcitedFermion:egm2eStar  On
Off
   (default = off)
          
Scatterings e gamma → e^*. 
Code 4011. 
   
 


          ExcitedFermion:mugm2muStar  On
Off
   (default = off)
          
Scatterings mu gamma → mu^*. 
Code 4013. 
   
 


          ExcitedFermion:taugm2tauStar  On
Off
   (default = off)
          
Scatterings tau gamma → tau^*. 
Code 4015. 
   
 


          ExcitedFermion:qq2dStarq  On
Off
   (default = off)
          
Scatterings q q(bar) → d^* q(bar). 
Code 4021. 
   
 


          ExcitedFermion:qq2uStarq  On
Off
   (default = off)
          
Scatterings q q(bar) → u^* q(bar). 
Code 4022. 
   
 


          ExcitedFermion:qq2sStarq  On
Off
   (default = off)
          
Scatterings q q(bar) → s^* q(bar). 
Code 4023. 
   
 


          ExcitedFermion:qq2cStarq  On
Off
   (default = off)
          
Scatterings q q(bar) → c^* q(bar). 
Code 4024. 
   
 


          ExcitedFermion:qq2bStarq  On
Off
   (default = off)
          
Scatterings q q(bar) → b^* q(bar). 
Code 4025. 
   
 


          ExcitedFermion:qqbar2eStare  On
Off
   (default = off)
          
Scatterings q qbar → e^*+- e^-+. 
Code 4031. 
   
 


          ExcitedFermion:qqbar2nueStarnue  On
Off
   (default = off)
          
Scatterings q qbar → nu_e^* nu_ebar. 
Code 4032. 
   
 


          ExcitedFermion:qqbar2muStarmu  On
Off
   (default = off)
          
Scatterings q qbar → mu^*+- mu^-+. 
Code 4033. 
   
 


          ExcitedFermion:qqbar2numuStarnumu  On
Off
   (default = off)
          
Scatterings q qbar → nu_mu^* nu_mubar. 
Code 4034. 
   
 


          ExcitedFermion:qqbar2tauStartau  On
Off
   (default = off)
          
Scatterings q qbar → tau^*+- tau^-+. 
Code 4035. 
   
 


          ExcitedFermion:qqbar2nutauStarnutau  On
Off
   (default = off)
          
Scatterings q qbar → nu_tau^* nu_taubar. 
Code 4036. 
   
 

          Excited fermions, parameters
           
 
The basic couplings of the model are 
 


          ExcitedFermion:Lambda      (default = 1000.; minimum = 100.)
          
Compositeness scale Lambda in GeV. 
   
 


          ExcitedFermion:coupF      (default = 1.0; minimum = 0.0)
          
Strength f of the SU(2) coupling. 
   
 


          ExcitedFermion:coupFprime      (default = 1.0; minimum = 0.0)
          
Strength f' of the U(1) coupling. 
   
 


          ExcitedFermion:coupFcol      (default = 1.0; minimum = 0.0)
          
Strength f_c of the SU(3) coupling. 
   
 

          Contact interactions, production processes
           
 
The processes including contact interactions are 
 


          ContactInteractions:QCqq2qq  On
Off
   (default = off)
          
Scatterings q q → q q including contact interactions. 
Code 4201. 
   
 


          ContactInteractions:QCqqbar2qqbar  On
Off
   (default = off)
          
Scatterings q qbar → q' qbar' including contact interactions. 
Code 4202. 
   
 


          ContactInteractions:QCffbar2eebar  On
Off
   (default = off)
          
Scatterings f fbar → e- e+ including contact interactions. 
Code 4203. 
   
 


          ContactInteractions:QCffbar2mumubar  On
Off
   (default = off)
          
Scatterings f fbar → mu- mu+ including contact interactions. 
Code 4204. 
   
 


          ContactInteractions:QCffbar2tautaubar  On
Off
   (default = off)
          
Scatterings f fbar → tau- tau+ including contact interactions. 
Code 4205. 
   
 

          Contact interactions, parameters
           
 


          ContactInteractions:nQuarkNew       (default = 3; minimum = 0; maximum = 5)
          
Number of allowed outgoing new quark flavours in the above 
q qbar → q' qbar' process. Similar to HardQCD:nQuarkNew 
for the QCD processes. 
   
 


          ContactInteractions:Lambda      (default = 1000.; minimum = 100.)
          
Compositeness scale Lambda in GeV. Its overall normalization 
is largely a matter of convention. The choice made here for the 
q qbar → l- l+ processes is such that the pure contact 
interaction part of the left-left interactions (i.e. disregarding 
gamma^*, Z^0 and interference terms) has the form 
d(sigmaHat)/d(tHat) = pi * uHat^2 / (3 * sHat^2 * Lambda^4). 
The corresponding part of the q qbar → q' qbar' cross section 
is a factor 3 larger from colour. 
   
 


          ContactInteractions:etaLL      (default = 0; minimum = -1; maximum = 1)
          
Helicity parameter. 

          
1 : 
          
0 : 
          
-1 : 
          
 


          ContactInteractions:etaRR      (default = 0; minimum = -1; maximum = 1)
          
Helicity parameter. 

          
1 : 
          
0 : 
          
-1 : 
          
 


          ContactInteractions:etaLR      (default = 0; minimum = -1; maximum = 1)
          
Helicity parameter. 

          
1 : 
          
0 : 
          
-1 : 
          
 


"?>


          

          




 
 
 
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pythia8-8.1.86.orig/phpdoc/ParticleDecays.php0000644000175000017500000006104512357553536017245 0ustar  sunsun

Particle Decays






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Particle Decays
           
 
The ParticleDecays class performs the sequential decays of 
all unstable hadrons produced in the string fragmentation stage, 
i.e. up to and including b hadrons and their decay products, 
such as the tau lepton. It is not to be used for the decay of 
more massive ";?>resonances, such as top, 
Z^0 or SUSY, where decays must be performed already at the 
ProcessLevel of the event generation. 
 

           
The decay description essentially copies the one present in 
PYTHIA since many years, but with some improvements, e.g. in the decay 
tables and the number of decay models available. Recently a more 
sophisticated handling of tau decays has also been introduced. 
Some issues may need further polishing. 
 

          Variables determining whether a particle decays
           
 
Before a particle is actually decayed, a number of checks are made. 
 

           
(i) Decay modes must have been defined for the particle kind; 
tested by the canDecay() method of Event 
(and ParticleData). 
 

           
(ii) The main switch for allowing this particle kind to decay must 
be on; tested by the mayDecay() method of Event 
(and ParticleData). 
 

           
(iii) Particles may be requested to have a nominal proper lifetime 
tau0 below a threshold. 
 


          ParticleDecays:limitTau0  On
Off
   (default = off)
          
When on, only particles with tau0 < tau0Max are decayed. 
   
 


          ParticleDecays:tau0Max      (default = 10.; minimum = 0.)
          
The above tau0Max, expressed in mm/c. 
   
 

           
(iv) Particles may be requested to have an actual proper lifetime 
tau below a threshold. 
 


          ParticleDecays:limitTau  On
Off
   (default = off)
          
When on, only particles with tau < tauMax are decayed. 
   
 


          ParticleDecays:tauMax      (default = 10.; minimum = 0.)
          
The above tauMax, expressed in mm/c.
           
In order for this and the subsequent tests to work, a tau 
is selected and stored for each particle, whether in the end it 
decays or not. (If each test would use a different temporary 
tau it would lead to inconsistencies.) 
   
 

           
(v) Particles may be requested to decay within a given distance 
of the origin. 
 


          ParticleDecays:limitRadius  On
Off
   (default = off)
          
When on, only particles with a decay within a radius r < rMax 
are decayed. There is assumed to be no magnetic field or other 
detector effects. 
   
 


          ParticleDecays:rMax      (default = 10.; minimum = 0.)
          
The above rMax, expressed in mm. 
   
 

           
(vi) Particles may be requested to decay within a given cylindrical 
volume around the origin. 
 


          ParticleDecays:limitCylinder  On
Off
   (default = off)
          
When on, only particles with a decay within a volume limited by 
rho = sqrt(x^2 + y^2) < xyMax and |z| < zMax 
are decayed. There is assumed to be no magnetic field or other 
detector effects. 
   
 


          ParticleDecays:xyMax      (default = 10.; minimum = 0.)
          
The above xyMax, expressed in mm. 
   
 


          ParticleDecays:zMax      (default = 10.; minimum = 0.)
          
The above zMax, expressed in mm. 
   
 

          Mixing
           
 


          ParticleDecays:mixB  On
Off
   (default = on)
          
Allow or not B^0 - B^0bar and B_s^0 - B_s^0bar mixing. 
   
 


          ParticleDecays:xBdMix      (default = 0.776; minimum = 0.74; maximum = 0.81)
          
The mixing parameter x_d = Delta(m_B^0)/Gamma_B^0 in the 
B^0 - B^0bar system. (Default from RPP2006.) 
   
 


          ParticleDecays:xBsMix      (default = 26.05; minimum = 22.0; maximum = 30.0)
          
The mixing parameter x_s = Delta(m_B_s^0)/Gamma_B_s^0 in the 
B_s^0 - B_s^0bar system. (Delta-m from CDF hep-ex-0609040, 
Gamma from RPP2006.) 
   
 

          Tau decays
           
 
A new machinery has been introduced to handle tau lepton decays, 
with helicity information related to the production process and with 
the form of the hadronic current fitted to data. It is largely based 
on the corresponding Herwig++ implementation [Gre07], with 
some input from Tauola [Jad90]. A short summary can be found in 
[Ilt12], while the complete writeup is in [Ilt14].
 

           
For taus in external processes, interfaced with Les Houches 
Accord information available, e.g. via Les Houches Event Files (LHEF), 
the new machinery interprets the SPINUP number for tau leptons 
as giving their helicity, and decays them accordingly. The only exceptions 
are when a specific polarization is forced by the user (see below), 
which then overrides the SPINUP value, or when SPINUP has the special 
value 9 (unpolarized). In the latter case, PYTHIA defaults back to 
attempting to determine the helicity structure from the production 
process, in the same way as for internal processes. 
 

           
This new machinery is on by default, but it is possible to revert to 
the simpler old decay handling, e.g. to study differences. Furthermore 
the spin tracing framework does not yet cover all possibilities; notably 
it cannot handle taus coming from SUSY decay chains 
(except via LHEF), so it makes sense 
to switch off the new machinery in such instances, for speed reasons if 
nothing else. In case only one tau mother species is undefined, the 
polarization involved can be set by hand. 
 


          ParticleDecays:sophisticatedTau      (default = 1; minimum = 0; maximum = 3)
          
Choice of tau decay model. 

          
0 : old decay model, with isotropic decays.  When reading LHEF files, the SPINUP digit will be ignored.
          
1 : sophisticated decays where tau polarization is  calculated from the tau production mechanism.  When reading LHEF files, the SPINUP digit will be used.  
          
2 : sophisticated decays as above, but additionally tau  polarization is set to ParticleDecaus:tauPolarization for  taus produced from ParticleDecays:tauMother.  When reading LHEF files, this overrides the SPINUP digit.  
          
3 : sophisticated decays where tau polarization is set  to ParticleDecaus:tauPolarization for all tau decays.  When reading LHEF files, this overrides the SPINUP digit.  
          

          Note: options 2 and 3, 
to force a specific tau polarization, only affect the decay 
of the tau. The angular distribution of the tau itself, 
given by its production, is not modified by these options. If you want, e.g., 
a righthanded W, or a SUSY decay chain, the kinematics should 
be handled by the corresponding cross section class(es), supplemented by 
the resonance decay one(s). The options here could then still be used 
to ensure the correct polarization at the tau decay stage. 
 


          ParticleDecays:tauPolarization      (default = 0; minimum = -1.; maximum = 1.)
          
Polarization of the tau when mode 2 or 3 of 
ParticleDecays:sophisticatedTau is selected. 
   
 


          ParticleDecays:tauMother       (default = 0; minimum = 0)
          
Mother of the tau for forced polarization when mode 2 of 
ParticleDecays:sophisticatedTau is selected. You should give the 
positive identity code; to the extent an antiparticle exists it will 
automatically obtain the inverse polarization. 
   
 

          QED radiation
           
 
So far PYTHIA does not have any generic machinery for handling QED radiation 
in normal particle decays. In order to include this, a program like Photos 
[Bar94, Dav10] could be used as an afterburner. In a few cases, 
however, the existing shower machinery can be used also here: for 
two-body decays to a lepton pair (l^+ l^- or l^+- nu_l). 
Such decays are mediated by gamma^*/Z^0/W^+- exchange, for 
which PYTHIA does have an existing machinery that can be applied, 
including first-order matrix-element corrections for the first (hardest) 
photon emission. 
 


          ParticleDecays:allowPhotonRadiation  On
Off
   (default = off)
          
Allow or not photon radiations in decays to a lepton pair, see above. 

          Note: The current default is to have radiation switched off, 
in order to avoid double-counting of emissions if you link to an external 
QED-radiation program, as is the norm in many collaborations. 
   
 

          Other variables
           
 


          ParticleDecays:mSafety      (default = 0.0005; minimum = 0.; maximum = 0.01)
          
Minimum mass difference required between the decaying mother mass 
and the sum of the daughter masses, kept as a safety margin to avoid 
numerical problems in the decay generation. 
   
 


          ParticleDecays:sigmaSoft      (default = 0.5; minimum = 0.2; maximum = 2.)
          
In semileptonic decays to more than one hadron, such as 
B → nu l D pi, decay products after the first three are 
dampened in momentum by an explicit weight factor 
exp(-p^2/sigmaSoft^2), where p is the 
three-momentum in the rest frame of the decaying particle. 
This takes into account that such further particles come from the 
fragmentation of the spectator parton and thus should be soft. 
   
 

           
When a decay mode is defined in terms of a partonic content, a random 
multiplicity (and a random flavour set) of hadrons is to be picked, 
especially for some charm and bottom decays. This is done according to 
a Poissonian distribution, for n_p normal particles and 
n_q quarks the average value is chosen as 

           
  n_p/ 2 + n_q/4 + multIncrease * ln ( mDiff / multRefMass) 

           
with mDiff the difference between the decaying particle mass 
and the sum of the normal-particle masses and the constituent quark masses. 
For gluon systems multGoffset offers and optional additional 
term to the multiplicity. The lowest possible multiplicity is 
n_p + n_q/2 (but at least 2) and the highest possible 10. 
If the picked hadrons have a summed mass above that of the mother a 
new try is made, including a new multiplicity. These constraints 
imply that the actual average multiplicity does not quite agree with 
the formula above. 
 


          ParticleDecays:multIncrease      (default = 4.; minimum = 2.; maximum = 6.)
          
The above multIncrease parameter, except for 
meMode = 23. 
   
 


          ParticleDecays:multIncreaseWeak      (default = 2.5; minimum = 1.; maximum = 4.)
          
The above multIncrease parameter, specifically for 
meMode = 23. Here the weak decay implies that only the 
virtual W mass should contribute to the production of new particles, 
rather than the full meson mass. 
   
 


          ParticleDecays:multRefMass      (default = 0.7; minimum = 0.2; maximum = 2.0)
          
The above multRefMass parameter. 
   
 


          ParticleDecays:multGoffset      (default = 0.5; minimum = 0.0; maximum = 2.0)
          
The above multGoffset parameter. 
   
 


          ParticleDecays:colRearrange      (default = 0.5; minimum = 0.; maximum = 1.0)
          
When a decay is given as a list of four partons to be turned into 
hadrons (primarily for modes 41 - 80)  it is assumed that they are 
listed in pairs, as a first and a second colour singlet, which could 
give rise to separate sets of hadrons. Here colRearrange is 
the probability that this original assignment is not respected, and 
default corresponds to no memory of this original colour topology. 
   
 


          ParticleDecays:FSRinDecays  On
Off
   (default = true)
          
When a particle decays to q qbar, g g, g g g 
or gamma g g, with meMode > 90, allow or not a 
shower to develop from it, before the partonic system is hadronized. 
(The typical example is Upsilon decay.) 
   
 
In addition, some variables defined for string fragmentation and for 
flavour production are used also here. 
  

          Modes for Matrix Element Processing
           
 
Some decays can be treated better than what pure phase space allows, 
by reweighting with appropriate matrix elements. In others a partonic 
content has to be converted to a set of hadrons. The presence of such 
corrections is signaled by a nonvanishing meMode() value 
for a decay mode in the ";?>particle 
data table. The list of allowed possibilities almost agrees with the 
PYTHIA 6 ones, but several obsolete choices have been removed, 
a few new introduced, and most have been moved for better consistency. 
Here is the list of currently allowed meMode() codes: 

             

          •   0 : pure phase space of produced particles ("default"); 
input of partons is allowed and then the partonic content is 
converted into the minimal number of hadrons (i.e. one per 
parton pair, but at least two particles in total)
            •  

          •   1 : omega and phi → pi+ pi- pi0
            •  

          •   2 : polarization in V → PS + PS (V = vector, 
PS = pseudoscalar), when V is produced by 
PS → PS + V or PS → gamma + V
            •  

          •  11 : Dalitz decay into one particle, in addition to the 
lepton pair (also allowed to specify a quark-antiquark pair that 
should collapse to a single hadron)
            •  

          •  12 : Dalitz decay into two or more particles in addition 
to the lepton pair
            •  

          •  13 : double Dalitz decay into two lepton pairs
            •  

          •  21 : decay to phase space, but weight up neutrino_tau spectrum 
in tau decay
            •  

          •  22 : weak decay; if there is a quark spectator system it collapses to 
one hadron; for leptonic/semileptonic decays the V-A matrix element 
is used, for hadronic decays simple phase space
            •  

          •  23 : as 22, but require at least three particles in decay
            •  

          •  31 : decays of type B → gamma X, very primitive simulation where 
X is given in terms of its flavour content, the X multiplicity is picked 
according to a geometrical distribution with average number 2, and 
the photon energy spectrum is weighted up relative to pure phase space
            •  

          •  42 - 50 : turn partons into a random number of hadrons, picked according 
to a Poissonian with average value as described above, but at least 
code - 40 and at most 10, and then distribute then in pure 
phase space; make a new try with another multiplicity if the sum of daughter 
masses exceed the mother one 
            •  

          •  52 - 60 : as 42 - 50, with multiplicity between code - 50 
and 10, but avoid already explicitly listed non-partonic channels
            •  

          •  62 - 70 : as 42 - 50, but fixed multiplicity code - 60
            •  

          •  72 - 80 : as 42 - 50, but fixed multiplicity code - 70, 
and avoid already explicitly listed non-partonic channels
            •  

          •  91 : decay to q qbar or g g, which should shower 
and hadronize
            •  

          •  92 : decay onium to g g g or g g gamma 
(with matrix element), which should shower and hadronize
            •  

          •  100 - : reserved for the description of partial widths of 
";?>resonances
            •  

           
 
Three special decay product identity codes are defined. 

             

          • 81: remnant flavour. Used for weak decays of c and b hadrons, where the 
c or b quark decays and the other quarks are considered as a spectator 
remnant in this decay. In practice only used for baryons with multiple 
c and b quarks, which presumably would never be used, but have simple 
(copied) just-in-case decay tables. Assumed to be last decay product.
            •  

          • 82: random flavour, picked by the standard fragmentation flavour 
machinery, used to start a sequence of hadrons, for matrix element 
codes in 41 - 80. Assumed to be first decay product, with -82 as second 
and last. Where multiplicity is free to be picked it is selected as for 
normal quarkonic systems. Currently unused.
            •  

          • 83: as for 82, with matched pair 83, -83 of decay products. The 
difference is that here the pair is supposed to come from a closed gluon 
loop (e.g. eta_c → g g) and so have a somewhat higher average 
multiplicity than the simple string assumed for 82, see the 
ParticleDecays:multGoffset parameter above.
            •  

           
 


"?>


          





 
 
 
pythia8-8.1.86.orig/phpdoc/Bibliography.php0000644000175000017500000003331112357553536016757 0ustar  sunsun

Bibliography






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

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pythia8-8.1.86.orig/phpdoc/MadGraph5Processes.php0000644000175000017500000001507112357553536020006 0ustar  sunsun

MadGraph 5 Processes






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          MadGraph 5 Processes
           
 
By far the easiest way to implement new processes into PYTHIA 8 is 
by using the matrix-element generator MadGraph 5. This program has 
an option to output the results of a matrix-element calculation 
as a set of PYTHIA 8 C++ classes (plus further auxiliary code), 
that can then be linked and used as 
";?>semi-internal processes, 
meaning they are handled identically with normal internal ones. 
This way, MadGraph 5 can be used to implement processes from 
any model that can be written in  terms of a Lagrangian. Any 
2 → 1, 2 → 2 and 2 → 3 processes 
can be implemented, the limit being set by the absence of efficient 
phase space generator algorithms for higher multiplicities in 
PYTHIA. Features such as s-channel resonances are 
automatically implemented in the process classes.  Besides the process 
library and necessary model files, also an example main program is 
generated for each set of processes, which can be easily modified to 
perform the desired analyses. 
 

           
In order to create a PYTHIA 8 process library with MadGraph 5, first 
download the MadGraph 5 package from 
 
https://launchpad.net/madgraph5, and untar the package. You can 
then specify the location of your pythia81xx directory 
in the file input/mg5_configuration.txt: 

          pythia8_path = ./pythia81xx 

          The location can be either relative (to the directory 
MadGraph5_v_x_x_x/.) or absolute. 
 

           
For any model that is already implemented in the MadGraph 5 package, 
you can directly use the model. Start the MadGraph 5 interface 
bin/mg5, and do: 

           
import model model_name 
generate your_process_in_mg5_syntax 
add process your_next_process_in_mg5_syntax 
... 
output pythia8 [path_to_pythia81xx_directory] 

           
 

           
For examples of MG5 process syntax, please see 
http://madgraph.phys.ucl.ac.be/EXAMPLES/example_mg5.html 
or type help generate. If you specified the path to the 
pythia81xx directory in the mg5_configuration 
file, you do not need to enter it in the output command. 
 

           
If your preferred model is found on the FeynRules model wiki page, 
http://feynrules.irmp.ucl.ac.be/wiki/ModelDatabaseMainPage, 
download the UFO (Universal FeynRules Output) tar file for the model, 
untar in the models/ directory, and use as above. 
 

           
If you want to implement a new model which has not yet been implemented, 
you can do this either using the Mathematica package FeynRules (see 
 
http://feynrules.irmp.ucl.ac.be/) or directly edit the UFO model 
files of the most similar model in the models/ directory. 
 

           
The resulting output from the output pythia8 command is: 

             

          • A process directory Processes_modelname with the 
model information and the files needed for all processes defined for 
this model, placed in the pythia81xx main directory. 
The model files are Parameters_modelname.h/cc and 
HelAmps_modelname.h/cc, and the process files for each 
process class (with the same mass, spin and color of the initial/final 
state particles) are called Sigma_modelname_processname.h/cc. 
The directory also contains a makefile and a model parameter 
file param_card_modelname.dat.
            •  

          • An example main program in the directory examples/ 
(in the pythia81xx main directory) called 
main_modelname_N.cc and a corresponding makefile 
Makefile_modelname_N. This main program links in the 
process classes in the process directory described above. To run the 
example main program, just go to the examples/ 
directory and run 

            make -f Makefile_modelname_N 

            or run launch directly inside the MadGraph 5 
command line interface.
            •  

           
 

           
Note that in order for PYTHIA 8 to be able to automatically decay any 
new particles, it is necessary to specify the branching ratios of the 
particles in the param_card file, see 
[Ska04,Alw07] for details. 
 

           
For further technical details, please see the MadGraph 5 release paper 
[Alw11] and the 
";?>semi-internal processes page. 
 

           
Of course, as with MadGraph 4, MadGraph 5 can also output 
files of parton-level events according to the 
";?>LHEF standard, 
that can be read in and processed further by PYTHIA 8. 
The advantage is that then the MadGraph 5 phase space generator 
can be used, which opens up for processes with more than three 
particles in the final state. The disadvantages are that it is less 
easy to mix and match with existing PYTHIA processes, and that one 
needs to regenerate and store large LHEF files for different 
kinematics cuts or parameter values. 
 

           
Please cite the MadGraph 5 release paper [Alw11] if you use 
MadGraph 5 to generate process libraries for PYTHIA 8. 
 


 
 
pythia8-8.1.86.orig/phpdoc/SUSYLesHouchesAccord.php0000644000175000017500000004747512357553536020266 0ustar  sunsun

SUSY Les Houches Accord






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          SUSY Les Houches Accord
           
 
The PYTHIA 8 program does not contain an internal spectrum calculator 
(a.k.a. RGE package) to provide supersymmetric couplings, mixing angles, 
masses and branching ratios. Thus the SUSY Les Houches Accord (SLHA) 
[Ska04][All08] is the only way of 
inputting SUSY models, and SUSY processes (see 
the ";?>SUSYProcesses page) 
cannot be run unless such an input has taken place. 
 

           
The SLHA input format can also be extended for use with more general BSM 
models, beyond SUSY. Information specific to  how to use the SLHA 
interface for generic BSM models is collected below, 
under Using SLHA for generic BSM Models, with 
more elaborate explanations and examples in [Des11]. 
 

           
Most of the SUSY implementation in PYTHIA 8 is compatible with both the 
SLHA1 [Ska04] and SLHA2 [All08] 
conventions (with some limitations for the NMSSM 
in the latter case). Internally, PYTHIA 8 uses the 
SLHA2 conventions and translates SLHA1 input to these when necessary. 
See the section on SUSY Processes and [Des11] for more 
information. Note that PYTHIA assumes that a spectrum is either fully SHLA1 
or fully SLHA2 compliant. Mixing of the two standards is discouraged, as 
this can lead to ambiguities and inconsistencies. 
 

           
When reading LHEF files, Pythia automatically looks for SLHA information 
between <slha>...</slha> tags in the header of such 
files. When running Pythia without LHEF input (or if reading an LHEF 
file that does not contain SLHA information in the header), a separate 
file containing SLHA information may be specified using 
SLHA:file (see below). 
 

           
Normally the LHEF would be in uncompressed format, and thus human-readable 
if opened in a text editor. A possibility to read gzipped files has 
been added, based on the Boost and zlib libraries, which therefore 
have to be linked appropriately in order for this option to work. 
See the README file in the main directory for details 
on how to do this. 
 

           
Finally, the SLHA input capability can of course also be used to input 
SLHA-formatted MASS and DECAY tables for 
other particles, such as the Higgs boson, furnishing a less 
sophisticated but more universal complement to the 
standard PYTHIA 8-specific methods for inputting such information (for the 
latter, see the section on ";?>Particle Data 
and the ";?>scheme to modify it). This 
may at times not be desirable, so a few options can be used to curb the right 
of SLHA to overwrite particle data. 
Conversely, it is sometimes useful to allow the user to modify 
eg a mass parameter relative to its value in the SLHA spectrum. 
This is normally not permitted (the SLHA spectrum is normally self-consistent 
and should not be modified), but an option for allowing it is provided. 
 

           
The reading-in of information from SLHA or LHEF files is handled by the 
SusyLesHouches class, while the subsequent calculation of 
derived quantities of direct application to SUSY processes is done in the 
CoupSUSY, SigmaSUSY, 
and SUSYResonanceWidths classes. 
 

          Sanity Checks
           
 
As an aid for basic validation, some checks and ranges are imposed 
 on SLHA input during initialization, as follows: 

             

          • Several parameters (SLHA:keepSM, minMassSM, 
and SLHA:allowUserOverride) provide some safety against 
unintentionally overwriting PYTHIA's Standard-Model information. 
These parameters can be altered to hand over more or less control to the SLHA 
interface. In particular, 
a lot of mass and decay-table information may be included by default in some 
SLHA files, without it being the explicit intention of the user to overwrite 
the corresponding PYTHIA information. The default 
values of the SLHA safety parameters have been chosen so as to eliminate 
at least the most obvious causes of Garbage In Garbage Out. 
(E.g., there is usually no reason to modify the masses of well-measured SM 
particles, like the W and Z bosons, nor to replace their sophisticated 
internal decay treatments by the simplified isotropic treatment used for 
SLHA DECAY tables.) 

            •  

          • For SLHA SUSY spectra, the interface checks  the mass-ordering of the 
Higgs, Neutralino, and  Chargino sectors, and the unitarity/orthogonality 
of the mixing matrices. It also performs some additional self-consistency 
checks on whether the correct SLHA BLOCKs for the given SUSY model have been 
included, and whether all required entries have been defined. 

            •  

          • If MASS or DECAY information for a particle has been changed by SLHA 
input, the following sanity checks will be carried out. The particle will 
be declared stable unless there is at least one on-shell decay channel open 
(regardless of the presence of any DECAY information). In particular, 
massless particles will always be declared stable. A lower cutoff is imposed 
on the Breit-Wigner shape of the particle, requiring its mass to remain above 
the sum of masses for the lightest decay channel. Subject to that constraint, 
the lower cutoff will normally be placed at 5 times the width (so that the 
default gives a decent sampling of the shape), but the user is allowed to 
use the mMin parameter to choose a larger sampling range if so 
desired (still subject to the on-shell constraint). 

            •  

          • For each decay channel in an SLHA DECAY table, PYTHIA will checks the 
available phase space. If the channel is on shell (sum of daughter masses is 
less than mass of decaying particle), then the threshold dependence is given 
by SLHA:meMode. If the channel is off shell, then an 
meMode of 100 is always used. As a further protection against 
GIGO, if the channel appears to be physically impossible (defined as requiring 
fluctuations of more than more than 100 times the effective combined widths), 
it is switched of and a warning message is printed. 

            •  

          • DECAY table branching fractions are always interpreted as positive. 
However, a negative sign for one or more channels can be given, and will 
then be interpreted to mean that the corresponding channel(s) should be 
switched off for the current run. This furnishes a simple way to switch 
SLHA DECAY channels on and off while preserving the sum of branching 
fractions equal to unity. 

            •  

           
Note that these sanity checks will not catch all possible cases of 
Garbage In Garbage Out, so human verification of the input files is always a 
good idea, as is taking a look at any warnings or error messages printed by 
the SLHA interface during initialization. It is ultimately up to the user to 
ensure that sensible input is being given. 
 

          SLHA Switches and Parameters
           
 

          mode   SLHA:readFrom   
 (default = 1; minimum = 0; maximum = 2)
          
Controls from where SLHA information is read. 

          option  0 : is not read at all. Useful when SUSY is not simulated 
and normal particle properties should not be overwritten.   

          option  1 : read in from the <slha>...</slha> 
block of a LHEF, if such a file is read during initialization, and else 
from the SLHA:file below.   

          option  2 : read in from the SLHA:file below.   
   
 


          SLHA:file       (default = void)
          
Name of an SLHA (or LHEF) file containing the SUSY/BSM model definition, 
spectra, and (optionally) decay tables. Default void 
signals that no such file has been assigned. 
   
 


          SLHA:keepSM  On
Off
   (default = on)
          
Some programs write SLHA output also for SM particles where normally 
one would not want to have masses and decay modes changed unwittingly. 
Therefore, by default, known SM particles are ignored in SLHA files. 
To be more specific, particle data for identity codes in the ranges 
1 - 24 and 81 - 999,999 are ignored. Notably this includes Z^0, 
W^+- and t. The SM Higgs is modified by the SLHA input, 
as is other codes in the range 25 - 80 and 1,000,000 - . If you 
switch off this flag then also SM particles are modified by SLHA input. 
   
 


          SLHA:minMassSM      (default = 100.0)
          
This parameter provides an alternative possibility to ignore SLHA input 
for all particles with identity codes below 1,000,000 (which mainly 
means SM particle, but also includes e.g. the Higgs bosons in 
two-Higgs-doublet scenarios) whose default masses in PYTHIA lie below 
some threshold value, given by this parameter. The default value of 
100.0 allows SLHA input to modify the top quark, but not, e.g., the 
Z^0 and W^+- bosons. 
   
 


          SLHA:allowUserOverride  On
Off
   (default = off)
          
Flag to set whether the user is allowed to modify the parameters read 
from an SLHA spectrum. Is normally kept off to preserve the 
internal self-consistency of SLHA spectra. If this flag is switched 
on, the mass values read from the SLHA block MASS are 
allowed to be modified by the user, using PYTHIA's standard 
readString and related methods. 
   
 

          SLHA DECAY Tables
           
 
In addition to SUSY spectra, the SLHA also defines a set of conventions for 
decay tables. These are not restricted to SUSY models, but can be used for 
arbitrary particles, either in combination with or independently of 
the SUSY parts of the Accord. The settings in this section control whether and 
how PYTHIA will make use of such tables. See also the comments under 
sanity checks above. 

          Note: the PYTHIA SLHA interface is limited to at most 
1→8 decays. 
 


          SLHA:useDecayTable  On
Off
   (default = on)
          
Switch to choose whether to read in SLHA DECAY tables or not. 
If this switch is set to off, PYTHIA will ignore any decay tables found 
in the SLHA file, and all decay widths will be calculated internally by 
PYTHIA. If switched on, SLHA decay tables will be read in, and will 
then supersede PYTHIA's internal calculations, with PYTHIA only 
computing the decays for particles for which no SLHA decay table is 
found. (To set a particle stable, you may either omit an SLHA 
DECAY table for it and then 
use PYTHIA's internal id:MayDecay switch for that 
particle, or you may include an SLHA DECAY table for it, 
with the width set explicitly to zero.) 
   
 

          mode   SLHA:meMode   
 (default = 100; minimum = 100; maximum = 103)
          
This value specifies how threshold, off-shell, and phase-space 
weighting effects for SLHA decay channels should be treated, using the same 
numbering scheme as for ";?>resonances. 
The default (100) is to use the branching fraction given in the SLHA 
DECAY tables without any modifications. The 
corresponding partial widths remain unchanged 
when the resonance fluctuates in mass. Specifically there are no 
threshold corrections. That is, if the resonance fluctuates down in 
mass, to below the nominal threshold for some decay mode, 
it is assumed that one of the 
daughters could also fluctuate down to keep the channel open. (If not, 
there may be problems later on.) 
Alternative options (with values 101+) documented under 
";?>resonances allow for some flexibility to 
apply threshold factors expressing the closing of the on-shell phase space 
when the daughter masses approach or exceed the parent one. 
Note that modes that are extremely far off shell 
(defined as needing a fluctuation of more than 100 times the 
root-sum-square of the widths of the mother and daughter particles) 
will always be assigned meMode = 100 and should be 
switched off by hand if so desired. 
It is up 
to the user to ensure that the final behaviour is consistent with what 
is desired (and/or to apply suitable post facto reweightings). 
Plotting the generator-level resonance and decay-product mass 
distributions (and e.g., mass differences), effective branching 
fractions, etc, may be of assistance to validate the behaviour of the 
program. 
   
 

          Internal SLHA Variables
           
 

          mode   SLHA:verbose   
 (default = 1; minimum = 0; maximum = 3)
          
Controls amount of text output written by the SLHA interface, with a 
value of 0 corresponding to the most quiet mode. 
   
 
The following variables are used internally by PYTHIA as local copies 
of SLHA information. User changes will generally have no effect, since 
these variables will be reset by the SLHA reader during initialization. 
 


          SLHA:NMSSM  On
Off
   (default = off)
          
Corresponds to SLHA block MODSEL entry 3. 
   
 
 

          Using SLHA for generic BSM Models
           
 

           
Using the QNUMBERS extension [Alw07], the SLHA 
can also be used to define new particles, with arbitrary quantum 
numbers. This already serves as a useful way to introduce new 
particles and can be combined with MASS and 
DECAY tables in the usual 
way, to generate isotropically distributed decays or even chains of 
such decays. (If you want something better than isotropic, sorry, you'll 
have to do some actual work ...) 

           
 

           
A more advanced further option is to make use of the possibility 
in the SLHA to include user-defined blocks with arbitrary 
names and contents. Obviously, standalone 
PYTHIA 8 does not know what to do with such information. However, it 
does not throw it away either, but instead stores the contents of user 
blocks as strings, which can be read back later, with the user 
having full control over the format used to read the individual entries. 

           
 

           
The contents of both standard and user-defined SLHA blocks can be accessed 
in any class inheriting from PYTHIA 8's SigmaProcess 
class (i.e., in particular, from any semi-internal process written by 
a user), through its SLHA pointer, slhaPtr, by using the 
following methods: 

           
bool slhaPtr->getEntry(string blockName, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, int jndx, double& val); 
bool slhaPtr->getEntry(string blockName, int indx, int jndx, int kndx, double& val); 

           

           
 

           
This particular example assumes that the user wants to read the 
entries (without index, indexed, matrix-indexed, or 3-tensor-indexed, 
respectively) in the user-defined block blockName, 
and that it should be interpreted as 
a double. The last argument is templated, and hence if 
anything other than a double is desired to be read, the 
user has only to give the last argument a different type. 
If anything went wrong (i.e., the block doesn't 
exist, or it doesn't have an entry with that index, or that entry 
can't be read as a double), the method returns false; true 
otherwise. This effectively allows to input completely arbitrary 
parameters using the SLHA machinery, with the user having full control 
over names and conventions. Of course, it is then the user's 
responsibility to ensure complete consistency between the names and 
conventions used in the SLHA input, and those assumed in any 
user-written semi-internal process code. 

           
 

           
Note that PYTHIA 8 always initializes at least 
the SLHA blocks MASS and SMINPUTS, starting from its internal 
SM parameters and particle data table values (updated to take into 
account user modifications). These blocks can therefore be accessed 
using the slhaPtr->getEntry() methods even in the absence 
of SLHA input. 
Note: in the SMINPUTS block, PYTHIA outputs physically correct 
(i.e., measured) values of GF, m_Z, and 
alpha_EM(m_Z). However, if one attempts to compute, e.g., 
the W mass, at one loop from these quantities, a value of 79 GeV results, 
with a corresponding value for the weak mixing angle. We advise to 
instead take the physically measured W mass from block MASS, and 
recompute the EW parameters as best suited for the application at hand. 

           
 


"?>


          

          




 
 
 
 
pythia8-8.1.86.orig/phpdoc/TimelikeShowers.php0000644000175000017500000014616012357553536017471 0ustar  sunsun

Timelike Showers






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
     

          Timelike Showers
           
 
The PYTHIA algorithm for timelike final-state showers is based on 
the article [Sjo05], where a transverse-momentum-ordered 
evolution scheme is introduced, with the extension to fully interleaved 
evolution covered in [Cor10a]. This algorithm is influenced by 
the previous mass-ordered algorithm in PYTHIA [Ben87] and by 
the dipole-emission formulation in Ariadne [Gus86]. From the 
mass-ordered algorithm it inherits a merging procedure for first-order 
gluon-emission matrix elements in essentially all two-body decays 
in the standard model and its minimal supersymmetric extension 
[Nor01]. 
 

           
The normal user is not expected to call TimeShower directly, 
but only have it called from Pythia. Some of the parameters 
below, in particular TimeShower:alphaSvalue, would be of 
interest for a tuning exercise, however. 
 

          Main variables
           
 
Often the maximum scale of the FSR shower evolution is understood from the 
context. For instance, in a resonance decay half the resonance mass sets an 
absolute upper limit. For a hard process in a hadronic collision the choice 
is not as unique. Here the ";?>factorization 
scale has been chosen as the maximum evolution scale. This would be 
the pT for a 2 → 2 process, supplemented by mass terms 
for massive outgoing particles. For some special applications we do allow 
an alternative. 
 


          TimeShower:pTmaxMatch      (default = 1; minimum = 0; maximum = 2)
          
Way in which the maximum shower evolution scale is set to match the 
scale of the hard process itself. 

          
0 : (i) if the final state of the hard process  (not counting subsequent resonance decays) contains at least one quark  (u, d, s, c ,b), gluon or photon then pT_max  is chosen to be the factorization scale for internal processes  and the scale value for Les Houches input;  (ii) if not, emissions are allowed to go all the way up to  the kinematical limit (i.e. to half the dipole mass).  This option agrees with the corresponding one for  spacelike showers. There the  reasoning is that in the former set of processes the ISR  emission of yet another quark, gluon or photon could lead to  double-counting, while no such danger exists in the latter case.  The argument is less compelling for timelike showers, but could  be a reasonable starting point.  
          
1 : always use the factorization scale for an internal  process and the scale value for Les Houches input,  i.e. the lower value. This should avoid double-counting, but  may leave out some emissions that ought to have been simulated.  (Also known as wimpy showers.)  
          
2 : always allow emissions up to the kinematical limit  (i.e. to half the dipole mass). This will simulate all possible event  topologies, but may lead to double-counting.  (Also known as power showers.)  
          

          Note 1: as enumerated in the text, these options take effect 
both for internal and external processes. Whether a particular option 
makes sense depends on the context. For instance, if events for the same 
basic process to different orders are to be matched, then option 1 would 
be a reasonable first guess. But in more sophisticated descriptions 
option 2 could be combined with UserHooks vetoes on 
emissions that would lead to double-counting, using more flexible 
phase space boundaries. Further details are found in the 
Matching and Merging description, 
with an example in examples/main31. 
Option 0, finally, may be most realistic when only Born-level processes 
are involved, possibly in combination with a nonzero 
TimeShower:pTdampMatch. 

          Note 2: These options only apply to the hard interaction. 
If a "second hard" process is present, the two are analyzed and 
set separately for the default 0 option, while both are affected 
the same way for non-default options 1 and 2. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of each process itself. The options 
also assume that you use interleaved evolution, so that FSR is in direct 
competition with ISR for the hardest emission. If you already 
generated a number of ISR partons at low pT, it would not 
make sense to have a later FSR shower up to the kinematical limit 
for all of them. 

          Note 3: Recall that resonance decays are not affected by 
this mode, but that showers there are always set to fill the full phase 
space, often with built-in matrix-element-matching that give a NLO 
accuracy. A modification of this behaviour would require you to 
work with UserHooks. 
 


          TimeShower:pTmaxFudge      (default = 1.0; minimum = 0.25; maximum = 2.0)
          
In cases where the above pTmaxMatch rules would imply 
that pT_max = pT_factorization, pTmaxFudge 
introduces a multiplicative factor f such that instead 
pT_max = f * pT_factorization. Only applies to the hardest 
interaction in an event, and a "second hard" if there is such a one, 
cf. below. It is strongly suggested that f = 1, but variations 
around this default can be useful to test this assumption. 

          Note:Scales for resonance decays are not affected, but can 
be set separately by ";?>user hooks. 
   
 


          TimeShower:pTmaxFudgeMPI      (default = 1.0; minimum = 0.25; maximum = 2.0)
          
A multiplicative factor f such that 
pT_max = f * pT_factorization, as above, but here for the 
non-hardest interactions (when multiparton interactions are allowed). 
   
 


          TimeShower:pTdampMatch      (default = 0; minimum = 0; maximum = 2)
          
These options only take effect when a process is allowed to radiate up 
to the kinematical limit by the above pTmaxMatch choice, 
and no matrix-element corrections are available. Then, in many processes, 
the fall-off in pT will be too slow by one factor of pT^2. 
That is, while showers have an approximate dpT^2/pT^2 shape, often 
it should become more like dpT^2/pT^4 at pT values above 
the scale of the hard process. This argument is more obvious and relevant 
for ISR, where emissions could go the the kinematical limit, whereas they 
are constrained by the respective dipole mass for FSR. Nevertheless this 
matching option is offered for FSR to have a (semi-)symmetric description. 
Note that a dampening factor is applied to all dipoles in the final state 
of the hard process, which is somewhat different from the ISR implementation. 

          
0 : emissions go up to the kinematical limit,  with no special dampening.  
          
1 : emissions go up to the kinematical limit,  but dampened by a factor k^2 Q^2_fac/(pT^2 + k^2 Q^2_fac),  where Q_fac is the factorization scale and k is a  multiplicative fudge factor stored in pTdampFudge below.  
          
2 : emissions go up to the kinematical limit,  but dampened by a factor k^2 Q^2_ren/(pT^2 + k^2 Q^2_ren),  where Q_ren is the renormalization scale and k is a  multiplicative fudge factor stored in pTdampFudge below.  
          

          Note: These options only apply to the hard interaction. 
Specifically, a "second hard" interaction would not be affected. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of the process itself. 
 


          TimeShower:pTdampFudge      (default = 1.0; minimum = 0.25; maximum = 4.0)
          
In cases 1 and 2 above, where a dampening is imposed at around the 
factorization or renormalization scale, respectively, this allows the 
pT scale of dampening of radiation by a half to be shifted 
by this factor relative to the default Q_fac or Q_ren. 
This number ought to be in the neighbourhood of unity, but variations 
away from this value could do better in some processes. 
   
 

           
The amount of QCD radiation in the shower is determined by 


          TimeShower:alphaSvalue      (default = 0.1383; minimum = 0.06; maximum = 0.25)
          
The alpha_strong value at scale M_Z^2. The default 
value corresponds to a crude tuning to LEP data, to be improved. 
   
 

           
The actual value is then regulated by the running to the scale 
pT^2, at which the shower evaluates alpha_strong. 
 


          TimeShower:alphaSorder      (default = 1; minimum = 0; maximum = 2)
          
Order at which alpha_strong runs, 

          
0 : zeroth order, i.e. alpha_strong is kept  fixed.
          
1 : zeroth order, i.e. alpha_strong is kept  fixed.
          
2 : second order. Since other parts of the code do  not go to second order there is no strong reason to use this option,  but there is also nothing wrong with it.
          
 

           
The CMW rescaling of Lambda_QCD (see the section on 
";?>StandardModelParameters) 
can be applied to the alpha_strong values used for 
timelike showers. Note that tunes using this option need lower values of 
alpha_strong(m_Z^2) than tunes that do not. 


          TimeShower:alphaSuseCMW  On
Off
   (default = false)
          

          option  false : Do not apply the CMW rescaling.    

          option  true : Apply the CMW rescaling, increasing 
 Lambda_QCD for timelike showers by a factor roughly 1.6. 
   
   
 

           
QED radiation is regulated by the alpha_electromagnetic 
value at the pT^2 scale of a branching. 
  


          TimeShower:alphaEMorder      (default = 1; minimum = -1; maximum = 1)
          
The running of alpha_em. 

          
1 : first-order running, constrained to agree with  StandardModel:alphaEMmZ at the Z^0 mass.  
          
0 : zeroth order, i.e. alpha_em is kept  fixed at its value at vanishing momentum transfer.
          
-1 : zeroth order, i.e. alpha_em is kept  fixed, but at StandardModel:alphaEMmZ, i.e. its value  at the Z^0 mass.  
          
 

           
The natural scale for couplings, and PDFs for dipoles stretching out 
to the beam remnants, is pT^2. To explore uncertainties it 
is possibly to vary around this value, however, in analogy with what 
can be done for ";?>hard processes. 
 


          TimeShower:renormMultFac      (default = 1.; minimum = 0.1; maximum = 10.)
          
The default pT^2 renormalization scale is multiplied by 
this prefactor. For QCD this is equivalent to a change of 
Lambda^2 in the opposite direction, i.e. to a change of 
alpha_strong(M_Z^2) (except that flavour thresholds 
remain at fixed scales). 
   
 


          TimeShower:factorMultFac      (default = 1.; minimum = 0.1; maximum = 10.)
          
The default pT^2 factorization scale is multiplied by 
this prefactor. 
   
  

           
The rate of radiation if divergent in the pT → 0 limit. Here, 
however, perturbation theory is expected to break down. Therefore an 
effective pT_min cutoff parameter is introduced, below which 
no emissions are allowed. The cutoff may be different for QCD and QED 
radiation off quarks, and is mainly a technical parameter for QED 
radiation off leptons. 
 


          TimeShower:pTmin      (default = 0.4; minimum = 0.1; maximum = 2.0)
          
Parton shower cut-off pT for QCD emissions. 
   
 


          TimeShower:pTminChgQ      (default = 0.4; minimum = 0.1; maximum = 2.0)
          
Parton shower cut-off pT for photon coupling to coloured particle. 
   
 


          TimeShower:pTminChgL      (default = 1e-6; minimum = 1e-10; maximum = 2.0)
          
Parton shower cut-off pT for pure QED branchings. 
Assumed smaller than (or equal to) pTminChgQ. 
   
 

           
Shower branchings gamma → f fbar, where f is a 
quark or lepton, in part compete with the hard processes involving 
gamma^*/Z^0 production. In order to avoid overlap it makes 
sense to correlate the maximum gamma mass allowed in showers 
with the minimum gamma^*/Z^0 mass allowed in hard processes. 
In addition, the shower contribution only contains the pure 
gamma^* contribution, i.e. not the Z^0 part, so 
the mass spectrum above 50 GeV or so would not be well described. 
 


          TimeShower:mMaxGamma      (default = 10.0; minimum = 0.001; maximum = 5000.0)
          
Maximum invariant mass allowed for the created fermion pair in a 
gamma → f fbar branching in the shower. 
   
 

          Interleaved evolution
           
 
Multiparton interactions (MPI) and initial-state showers (ISR) are 
always interleaved, as follows. Starting from the hard interaction, 
the complete event is constructed by a set of steps. In each step 
the pT scale of the previous step is used as starting scale 
for a downwards evolution. The MPI and ISR components each make 
their respective Monte Carlo choices for the next lower pT 
value. The one with larger pT is allowed to carry out its 
proposed action, thereby modifying the conditions for the next steps. 
This is relevant since the two components compete for the energy 
contained in the beam remnants: both an interaction and an emission 
take away some of the energy, leaving less for the future. The end 
result is a combined chain of decreasing pT values, where 
ones associated with new interactions and ones with new emissions 
are interleaved. 
 

           
There is no corresponding requirement for final-state radiation (FSR) 
to be interleaved. Such an FSR emission does not compete directly for 
beam energy (but see below), and also can be viewed as occurring after 
the other two components in some kind of time sense. Interleaving is 
allowed, however, since it can be argued that a high-pT FSR 
occurs on shorter time scales than a low-pT MPI, say. 
Backwards evolution of ISR is also an example that physical time 
is not the only possible ordering principle, but that one can work 
with conditional probabilities: given the partonic picture at a 
specific pT resolution scale, what possibilities are open 
for a modified picture at a slightly lower pT scale, either 
by MPI, ISR or FSR? Complete interleaving of the three components also 
offers advantages if one aims at matching to higher-order matrix 
elements above some given scale. 
 


          TimeShower:interleave  On
Off
   (default = on)
          
If on, final-state emissions are interleaved in the same 
decreasing-pT chain as multiparton interactions and initial-state 
emissions. If off, final-state emissions are only addressed after the 
multiparton interactions and initial-state radiation have been considered. 
   
 

           
As an aside, it should be noted that such interleaving does not affect 
showering in resonance decays, such as a Z^0. These decays are 
only introduced after the production process has been considered in full, 
and the subsequent FSR is carried out inside the resonance, with 
preserved resonance mass. 
 

           
One aspect of FSR for a hard process in hadron collisions is that often 
colour dipoles are formed between a scattered parton and a beam remnant, 
or rather the hole left behind by an incoming partons. If such holes 
are allowed as dipole ends and take the recoil when the scattered parton 
undergoes a branching then this translates into the need to take some 
amount of remnant energy also in the case of FSR, i.e. the roles of 
ISR and FSR are not completely decoupled. The energy taken away is 
bookkept by increasing the x value assigned to the incoming 
scattering parton, and a reweighting factor 
x_new f(x_new, pT^2) / x_old f(x_old, pT^2) 
in the emission probability ensures that not unphysically large 
x_new values are reached. Usually such x changes are 
small, and they can be viewed as a higher-order effect beyond the 
accuracy of the leading-log initial-state showers. 
 

           
This choice is not unique, however. As an alternative, if nothing else 
useful for cross-checks, one could imagine that the FSR is completely 
decoupled from the ISR and beam remnants. 
 


          TimeShower:allowBeamRecoil  On
Off
   (default = on)
          
If on, the final-state shower is allowed to borrow energy from 
the beam remnants as described above, thereby changing the mass of the 
scattering subsystem. If off, the partons in the scattering subsystem 
are constrained to borrow energy from each other, such that the total 
four-momentum of the system is preserved. This flag has no effect 
on resonance decays, where the shower always preserves the resonance 
mass, cf. the comment above about showers for resonances never being 
interleaved. 
   
 


          TimeShower:dampenBeamRecoil  On
Off
   (default = on)
          
When beam recoil is allowed there is still some ambiguity how far 
into the beam end of the dipole that emission should be allowed. 
It is dampened in the beam region, but probably not enough. 
When on an additional suppression factor 
4 pT2_hard / (4 pT2_hard + m2) is multiplied on to the 
emission probability. Here pT_hard is the transverse momentum 
of the radiating parton and m the off-shell mass it acquires 
by the branching, m2 = pT2/(z(1-z)). Note that 
m2 = 4 pT2_hard is the kinematical limit for a scattering 
at 90 degrees without beam recoil. 
   
 

          Global recoil
           
 
The final-state algorithm is based on dipole-style recoils, where 
one single parton takes the full recoil of a branching. This is unlike 
the initial-state algorithm, where the complete already-existing 
final state shares the recoil of each new emission. As an alternative, 
also the final-state algorithm contains an option where the recoil 
is shared between all partons in the final state. Thus the radiation 
pattern is unrelated to colour correlations. This is especially 
convenient for some matching algorithms, like MC@NLO, where a full 
analytic knowledge of the shower radiation pattern is needed to avoid 
double-counting. (The pT-ordered shower is described in 
[Sjo05], and the corrections for massive radiator and recoiler 
in [Nor01].) 
 

           
Technically, the radiation pattern is most conveniently represented 
in the rest frame of the final state of the hard subprocess. Then, for 
each parton at a time, the rest of the final state can be viewed as 
a single effective parton. This "parton" has a fixed invariant mass 
during the emission process, and takes the recoil without any changed 
direction of motion. The momenta of the individual new recoilers are 
then obtained by a simple common boost of the original ones. 
 

           
This alternative approach will miss out on the colour coherence 
phenomena. Specifically, with the whole subcollision mass as "dipole" 
mass, the phase space for subsequent emissions is larger than for 
the normal dipole algorithm. The phase space difference grows as 
more and more gluons are created, and thus leads to a way too steep 
multiplication of soft gluons. Therefore the main application is 
for the first one or few emissions of the shower, where a potential 
overestimate of the emission rate is to be corrected for anyway, 
by matching to the relevant matrix elements. Thereafter, subsequent 
emissions should be handled as before, i.e. with dipoles spanned 
between nearby partons. Furthermore, only the first (hardest) 
subcollision is handled with global recoils, since subsequent MPI's 
would not be subject to matrix element corrections anyway. 
 

           
In order for the mid-shower switch from global to local recoils 
to work, colours are traced and bookkept just as for normal showers; 
it is only that this information is not used in those steps where 
a global recoil is requested. (Thus, e.g., a gluon is still bookkept 
as one colour and one anticolour dipole end, with half the charge 
each, but with global recoil those two ends radiate identically.) 
 


          TimeShower:globalRecoil  On
Off
   (default = off)
          
Alternative approach as above, where all final-state particles share 
the recoil of an emission. 

          If off, then use the standard dipole-recoil approach. 

          If on, use the alternative global recoil, but only for the first 
interaction, and only while the number of particles in the final state 
is at most TimeShower:nMaxGlobalRecoil before the 
branching. 
   
   


          TimeShower:nMaxGlobalRecoil       (default = 2; minimum = 1)
          
Represents the maximum number of particles in the final state for which 
the next final-state emission can be performed with the global recoil 
strategy. This number counts all particles, whether they are 
allowed to radiate or not, e.g. also Z^0. Also partons 
created by initial-state radiation emissions counts towards this sum, 
as part of the interleaved evolution. Without interleaved evolution 
this option would not make sense, since then a varying and large 
number of partons could already have been created by the initial-state 
radiation before the first final-state one, and then there is not 
likely to be any matrix elements available for matching. 
   
 

           
Two variations of the scheme outlined above are also available, 
(motivated by comparative studies within aMC@NLO). These studies indicate 
that global recoils should be used as sparsely as possible, in order to 
retain desirable features of the radiation pattern produced with the local 
recoil prescription. 
 


          TimeShower:globalRecoilMode      (default = 0; minimum = 0; maximum = 2)
          
Choice which splittings are produced with the global recoil approach. 

          
0 : Global recoil mode as outlined above, i.e. using global  recoils until the number of final state particles exceeds  TimeShower:nMaxGlobalRecoil.
          
1 : Global recoil only for the first branching of  final state legs that have an ancestor in the hard process, and  if the maximal number of branchings generated according to the global  recoil scheme (see TimeShower:nMaxGlobalBranch below) has  not yet been reached.
          
2 : Global recoil only if the first branching in  the whole evolution is a timelike splitting of a parton in an  event with Born-like kinematics (i.e.\ an S-event).  The impact of global recoils should be minimal in this case.  This option is only sensible for interleaved evolution.  
          
 


          TimeShower:nMaxGlobalBranch       (default = -1)
          
The maximum number of splittings in the final state for which 
the next final-state emission can be performed with the global recoil 
strategy. This number has to be set if TimeShower:globalRecoilMode = 1 
 or TimeShower:globalRecoilMode = 2 
   
 


          TimeShower:nPartonsInBorn       (default = -1)
          
The number of partons for Born-like phase space points. This number needs 
to be set if a different treatment of S-events (with Born-like kinematics) 
and H-events (with real-emission kinematics) is desired. This number has 
to be set if TimeShower:globalRecoilMode = 2. 
   
 


          TimeShower:limitPTmaxGlobal  On
Off
   (default = off)
          
If on, limit the maximal pT produced in branchings in the global recoil scheme 
exactly as in the default (local) scheme. This means that the mass of the 
splitting dipole will set an upper bound for the pT of an emission. 
To be more explicit, this disallows emissions with pT larger than 
min{μstart 2, mD2/4}, 
with mD2 = 
(√ (pr 
+ps)2 -m0,s)2 
- m0,r2 , where 
the shower starting scale is μstart (i.e. SCALUP when 
reading LHE files, and  Info.QFac() otherwise), r the 
radiating parton, and s the recoiling particle that would have been 
used in the local recoil scheme. This option is only used if wimpy showers are 
enabled. 
   
 

           
The global-recoil machinery does not work well with rescattering in the 
MPI machinery, since then the recoiling system is not uniquely defined. 
MultipartonInteractions:allowRescatter = off by default, 
so this is not a main issue. If both options are switched on, 
rescattering will only be allowed to kick in after the global recoil 
has ceased to be active, i.e. once the nMaxGlobalRecoil 
limit has been exceeded. This should not be a major conflict, 
since rescattering is mainly of interest at later stages of the 
downwards pT evolution. 
 

           
Further, it is strongly recommended to set 
TimeShower:MEcorrections = off (not default!), i.e. not 
to correct the emission probability to the internal matrix elements. 
The internal ME options do not cover any cases relevant for a multibody 
recoiler anyway, so no guarantees are given what prescription would 
come to be used. Instead, without ME corrections,  a process-independent 
emission rate is obtained, and  ";?>user hooks 
can provide the desired process-specific rejection factors. 
  

          Radiation off octet onium states
           
 
In the current implementation, charmonium and bottomonium production 
can proceed either through colour singlet or colour octet mechanisms, 
both of them implemented in terms of 2 → 2 hard processes 
such as g g → (onium) g. 
In the former case the state does not radiate and the onium therefore 
is produced in isolation, up to normal underlying-event activity. In 
the latter case the situation is not so clear, but it is sensible to 
assume that a shower can evolve. (Assuming, of course, that the 
transverse momentum of the onium state is sufficiently high that 
radiation is of relevance.) 
 

           
There could be two parts to such a shower. Firstly a gluon (or even a 
quark, though less likely) produced in a hard 2 → 2 process 
can undergo showering into many gluons, whereof one branches into the 
heavy-quark pair. Secondly, once the pair has been produced, each quark 
can radiate further gluons. This latter kind of emission could easily 
break up a semibound quark pair, but might also create a new semibound 
state where before an unbound pair existed, and to some approximation 
these two effects should balance in the onium production rate. 
The showering "off an onium state" as implemented here therefore should 
not be viewed as an accurate description of the emission history 
step by step, but rather as an effective approach to ensure that the 
octet onium produced "in the hard process" is embedded in a realistic 
amount of jet activity. 
Of course both the isolated singlet and embedded octet are likely to 
be extremes, but hopefully the mix of the two will strike a reasonable 
balance. However, it is possible that some part of the octet production 
occurs in channels where it should not be accompanied by (hard) radiation. 
Therefore reducing the fraction of octet onium states allowed to radiate 
is a valid variation to explore uncertainties. 
 

           
If an octet onium state is chosen to radiate, the simulation of branchings 
is based on the assumption that the full radiation is provided by an 
incoherent sum of radiation off the quark and off the antiquark of the 
onium state. Thus the splitting kernel is taken to be the normal 
q → q g one, multiplied by a factor of two. Obviously this is 
a simplification of a more complex picture, averaging over factors pulling 
in different directions. Firstly, radiation off a gluon ought 
to be enhanced by a factor 9/4 relative to a quark rather than the 2 
now used, but this is a minor difference. Secondly, our use of the 
q → q g branching kernel is roughly equivalent to always 
following the harder gluon in a g → g g branching. This could 
give us a bias towards producing too hard onia. A soft gluon would have 
little phase space to branch into a heavy-quark pair however, so the 
bias may not be as big as it would seem at first glance. Thirdly, 
once the gluon has branched into a quark pair, each quark carries roughly 
only half of the onium energy. The maximum energy per emitted gluon should 
then be roughly half the onium energy rather than the full, as it is now. 
Thereby the energy of radiated gluons is exaggerated, i.e. onia become too 
soft. So the second and the third points tend to cancel each other. 
 

           
Finally, note that the lower cutoff scale of the shower evolution depends 
on the onium mass rather than on the quark mass, as it should be. Gluons 
below the octet-onium scale should only be part of the octet-to-singlet 
transition. 
 


          TimeShower:octetOniumFraction      (default = 1.; minimum = 0.; maximum = 1.)
          
Allow colour-octet charmonium and bottomonium states to radiate gluons. 
0 means that no octet-onium states radiate, 1 that all do, with possibility 
to interpolate between these two extremes. 
   
 


          TimeShower:octetOniumColFac      (default = 2.; minimum = 0.; maximum = 4.)
          
The colour factor used used in the splitting kernel for those octet onium 
states that are allowed to radiate, normalized to the q → q g 
splitting kernel. Thus the default corresponds to twice the radiation 
off a quark. The physically preferred range would be between 1 and 9/4. 
   
  

          Weak showers
           
 
The emission of weak gauge bosons is an integrated part of the initial- 
and final-state radiation, see ";?>Weak Showers. 
The following settings are those specifically related to the final-state 
weak radiation, while common settings are found in the 
";?>Weak Showers description. 
 


          TimeShower:weakShower  On
Off
   (default = off)
          
Allow a weak shower, yes or no. 
   
 


          TimeShower:weakShowerMode      (default = 0; minimum = 0; maximum = 2)
          
Determine which branchings are allowed. 

          
0 :  both W^+- and Z^0 branchings.  
          
1 :  both W^+- and Z^0 branchings.  
          
2 :  both W^+- and Z^0 branchings.  
          
 


                (default = 1.0; minimum = 0.1; maximum = 2.0)
          
Parton shower cut-off pT for weak branchings. 
   
 

          Further variables
           
 
There are several possibilities you can use to switch on or off selected 
branching types in the shower, or in other respects simplify the shower. 
These should normally not be touched. Their main function is for 
cross-checks. 
 


          TimeShower:QCDshower  On
Off
   (default = on)
          
Allow a QCD shower, i.e. branchings q → q g, 
g → g g and g → q qbar; on/off = true/false. 
   
 


          TimeShower:nGluonToQuark       (default = 5; minimum = 0; maximum = 5)
          
Number of allowed quark flavours in g → q qbar branchings 
(phase space permitting). A change to 4 would exclude 
g → b bbar, etc. 
   
 


          TimeShower:weightGluonToQuark      (default = 1; minimum = 1; maximum = 8)
          
Different options to assign kinematics distributions and weights 
for g → q qbar branchings, notably for charm and bottom 
quarks. These options also have the corresponding effect on 
gamma → f fbar branchings.
Notation: r_q = m_q^2/m_qq^2, beta = sqrt(1 - 4r_q), with 
m_q the quark mass and m_qq the q qbar pair 
invariant mass. The scale factor k is described below, 
TimeShower:scaleGluonToQuark.

          
1 : same splitting kernel (1/2) (z^2 + (1-z)^2) for  massive as massless quarks, only with an extra beta phase  space factor.
          
2 : a splitting kernel  (beta/2) (z^2 + (1-z)^2 + 8r_q z(1-z)).
          
3 : a splitting kernel z^2 + (1-z)^2 + 8r_q z(1-z), normalized so that the z-integrated rate is (beta/3) (1 + r/2).
          
4 : same as 3, but additionally a suppression factor (1 - m_qq^2/m_dipole^2)^3, which reduces the rate of high-mass  q qbar pairs.
          
5 : same as 1, but reweighted to an alpha_s(k m_qq^2) rather than the normal alpha_s(pT^2).
          
6 : same as 2, but reweighted to an alpha_s(k m_qq^2) rather than the normal alpha_s(pT^2).
          
7 : same as 3, but reweighted to an alpha_s(k m_qq^2) rather than the normal alpha_s(pT^2).
          
8 : same as 4, but reweighted to an alpha_s(k m_qq^2) rather than the normal alpha_s(pT^2).
          
 


          TimeShower:scaleGluonToQuark      (default = 1.0; minimum = 0.25; maximum = 1.0)
          
Extra scale parameter k for TimeShower:weightGluonToQuark
options 5 - 8. Comes on top of TimeShower:renormMultFac, which
affects alpha_s(pT^2) alike.
   



          TimeShower:QEDshowerByQ  On
Off
   (default = on)
          
Allow quarks to radiate photons, i.e. branchings q → q gamma; 
on/off = true/false. 
   
 


          TimeShower:QEDshowerByL  On
Off
   (default = on)
          
Allow leptons to radiate photons, i.e. branchings l → l gamma; 
on/off = true/false. 
   
 


          TimeShower:QEDshowerByGamma  On
Off
   (default = on)
          
Allow photons to branch into lepton or quark pairs, i.e. branchings 
gamma → l+ l- and gamma → q qbar; 
on/off = true/false. 
   
 


          TimeShower:nGammaToQuark       (default = 5; minimum = 0; maximum = 5)
          
Number of allowed quark flavours in gamma → q qbar branchings 
(phase space permitting). A change to 4 would exclude 
g → b bbar, etc. 
   
 


          TimeShower:nGammaToLepton       (default = 3; minimum = 0; maximum = 3)
          
Number of allowed lepton flavours in gamma → l+ l- branchings 
(phase space permitting). A change to 2 would exclude 
gamma → tau+ tau-, and a change to 1 also 
gamma → mu+ mu-. 
   
 


          TimeShower:MEcorrections  On
Off
   (default = on)
          
Use of matrix element corrections where available; on/off = true/false. 
   
 


          TimeShower:MEafterFirst  On
Off
   (default = on)
          
Use of matrix element corrections also after the first emission, 
for dipole ends of the same system that did not yet radiate. 
Only has a meaning if MEcorrections above is 
switched on. 
   
 


          TimeShower:phiPolAsym  On
Off
   (default = on)
          
Azimuthal asymmetry induced by gluon polarization; on/off = true/false. 
   
 


          TimeShower:recoilToColoured  On
Off
   (default = on)
          
In the decays of coloured resonances, say t → b W, it is not 
possible to set up dipoles with matched colours. Originally the 
b radiator therefore has W as recoiler, and that 
choice is unique. Once a gluon has been radiated, however, it is 
possible either to have the unmatched colour (inherited by the gluon) 
still recoiling against the W (off), or else 
let it recoil against the b also for this dipole 
(on). Before version 8.160 the former was the only 
possibility, which could give unphysical radiation patterns. It is 
kept as an option to check backwards compatibility. The same issue 
exists for QED radiation, but obviously is less significant. Consider 
the example W → e nu, where originally the nu 
takes the recoil. In the old (off) scheme the nu 
would remain recoiler, while in the new (on) instead 
each newly emitted photon becomes the new recoiler. 
   
 


          TimeShower:useFixedFacScale  On
Off
   (default = off)
          
Allow the possibility to use a fixed factorization scale, set by 
the parm below. This option is unphysical and only 
intended for toy-model and debug studies. 
   
 


          TimeShower:fixedFacScale      (default = 100.; minimum = 1.)
          
The fixed factorization scale, in GeV, that would be used in the 
evaluation of parton densities if the flag above is on. 
   
 


"?>


          

          




 
 
pythia8-8.1.86.orig/phpdoc/EventAnalysis.php0000644000175000017500000013171312357553536017136 0ustar  sunsun

Event Analysis






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Event Analysis
           
 

          Introduction
           
 
The routines in this section are intended to be used to analyze 
event properties. As such they are not part of the main event 
generation chain, but can be used in comparisons between Monte 
Carlo events and real data. They are rather free-standing, but 
assume that input is provided in the PYTHIA 8 
Event format, and use a few basic facilities such 
as four-vectors. Their ordering is mainly by history; for current 
LHC applications the final one, SlowJet, is of 
special interest. 
 

           
In addition to the methods presented here, there is also the 
possibility to make use of ";?>external 
jet finders . 
 

          Sphericity
           
 
The standard sphericity tensor is 

           
    S^{ab} = (sum_i p_i^a p_i^b) / (sum_i p_i^2) 

           
where the sum i runs over the particles in the event, 
a, b = x, y, z, and p without such an index is 
the absolute size of the three-momentum . This tensor can be 
diagonalized to find eigenvalues and eigenvectors. 
 

           
The above tensor can be generalized by introducing a power 
r, such that 

           
    S^{ab} = (sum_i p_i^a p_i^b p_i^{r-2}) / (sum_i p_i^r) 

           
In particular, r = 1 gives a linear dependence on momenta 
and thus a collinear safe definition, unlike sphericity. 
 

           
To do sphericity analyses you have to set up a Sphericity 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 


          Sphericity::Sphericity(double power = 2., int select = 2)   
          
create a sphericity analysis object, where 

          argument power  (default = 2.) :  
is the power r defined above, i.e. 

          argumentoption  2. : gives Sphericity, and   

          argumentoption  1. : gives the linear form.   
   

          argument select  (default = 2) :  
tells which particles are analyzed, 

          argumentoption  1 : all final-state particles,   

          argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() 
particle method), and 
   

          argumentoption  3 : only charged final-state particles.   
   
   
 


          bool Sphericity::analyze( const Event& event, ostream& os = cout)   
          
perform a sphericity analysis, where 

          argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

          argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

          If the routine returns false the 
analysis failed, e.g. if too few particles are present to analyze. 
   
 

           
After the analysis has been performed, a few methods are available 
to return the result of the analysis of the latest event: 
 


          double Sphericity::sphericity()   
          
gives the sphericity (or equivalent if r is not 2), 
   
 


          double Sphericity::aplanarity()   
          
gives the aplanarity (with the same comment), 
   
 


          double Sphericity::eigenValue(int i)   
          
gives one of the three eigenvalues for i = 1, 2 or 3, in 
descending order, 
   
 


          Vec4 Sphericity::eventAxis(i)   
          
gives the matching normalized eigenvector, as a Vec4 
with vanishing time/energy component. 
   
 


          void Sphericity::list(ostream& os = cout)   
          
provides a listing of the above information. 
   
 

           
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 


          int Sphericity::nError()   
          
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

          Thrust
           
 
Thrust is obtained by varying the thrust axis so that the longitudinal 
momentum component projected onto it is maximized, and thrust itself is 
then defined as the sum of absolute longitudinal momenta divided by 
the sum of absolute momenta. The major axis is found correspondingly 
in the plane transverse to thrust, and the minor one is then defined 
to be transverse to both. Oblateness is the difference between the major 
and the minor values. 
 

           
The calculation of thrust is more computer-time-intensive than e.g. 
linear sphericity, introduced above, and has no specific advantages except 
historical precedent. In the PYTHIA 6 implementation the search was 
sped up at the price of then not being guaranteed to hit the absolute 
maximum. The current implementation studies all possibilities, but at 
the price of being slower, with time consumption for an event with 
n particles growing like n^3. 
 

           
To do thrust analyses you have to set up a Thrust 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 


          Thrust::Thrust(int select = 2)   
          
create a thrust analysis object, where 

          argument select  (default = 2) :  
tells which particles are analyzed, 

          argumentoption  1 : all final-state particles,   

          argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() 
particle method), and 
   

          argumentoption  3 : only charged final-state particles.   
   
   
 


          bool Thrust::analyze( const Event& event, ostream& os = cout)   
          
perform a thrust analysis, where 

          argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

          argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

          If the routine returns false the 
analysis failed, e.g. if too few particles are present to analyze. 
   
 

           
After the analysis has been performed, a few methods are available 
to return the result of the analysis of the latest event: 
 


          double Thrust::thrust()   
          
   
double Thrust::tMajor()   
          
   
double Thrust::tMinor()   
          
   
double Thrust::oblateness()   
          
gives the thrust, major, minor and oblateness values, respectively, 
   
 


          Vec4 Thrust::eventAxis(int i)   
          
gives the matching normalized event-axis vectors, for i = 1, 2 or 3 
corresponding to thrust, major or minor, as a Vec4 with 
vanishing time/energy component. 
   
 


          void Thrust::list(ostream& os = cout)   
          
provides a listing of the above information. 
   
 

           
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 


          int Thrust::nError()   
          
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

          ClusterJet
           
 
ClusterJet (a.k.a. LUCLUS and 
PYCLUS) is a clustering algorithm of the type used for 
analyses of e^+e^- events, see the PYTHIA 6 manual. All 
visible particles in the events are clustered into jets. A few options 
are available for some well-known distance measures. Cutoff 
distances can either be given in terms of a scaled quadratic quantity 
like y = pT^2/E^2 or an unscaled linear one like pT. 
 

           
Note that we have deliberately chosen not to include the e^+e^- 
equivalents of the Cambridge/Aachen and anti-kRT algorithms. 
These tend to be good at clustering the densely populated (in angle) 
cores of jets, but less successful for the sparsely populated transverse 
regions, where many jets may come to consist of a single low-momentum 
particle. In hadron collisions such jets could easily be disregarded, 
while in e^+e^- annihilation all particles derive back from the 
hard process. 
 

           
To do jet finding analyses you have to set up a ClusterJet 
instance, and then feed in events to it, one at a time. The results 
for the latest event are available as output from a few methods. 
 


          ClusterJet::ClusterJet(string measure = "Lund", int select = 2, int massSet = 2, bool precluster = false, bool reassign = false)   
          
create a ClusterJet instance, where 

          argument measure  (default = "Lund") : distance measure, 
to be provided as a character string (actually, only the first character 
is necessary) 

          argumentoption  "Lund" : the Lund pT distance, 
   

          argumentoption  "JADE" : the JADE mass distance, and 
   

          argumentoption  "Durham" : the Durham kT measure. 
   
   

          argument select  (default = 2) :  
tells which particles are analyzed, 

          argumentoption  1 : all final-state particles,   

          argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), and 
   

          argumentoption  3 : only charged final-state particles.   
   

          argument massSet  (default = 2) : masses assumed for the particles 
used in the analysis 

          argumentoption  0 : all massless,   

          argumentoption  1 : photons are massless while all others are 
assigned the pi+- mass, and 
   

          argumentoption  2 : all given their correct masses.   
   

          argument precluster  (default = false) :  
perform or not a early preclustering step, where nearby particles 
are lumped together so as to speed up the subsequent normal clustering. 
   

          argument reassign  (default = false) :  
reassign all particles to the nearest jet each time after two jets 
have been joined. 
   
   
 


          ClusterJet::analyze( const Event& event, double yScale, double pTscale, int nJetMin = 1, int nJetMax = 0, ostream& os = cout)   
          
performs a jet finding analysis, where 

          argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

          argument yScale   :  
is the cutoff joining scale, below which jets are joined. Is given 
in quadratic dimensionless quantities. Either yScale 
or pTscale must be set nonvanishing, and the larger of 
the two dictates the actual value. 
   

          argument pTscale   :  
is the cutoff joining scale, below which jets are joined. Is given 
in linear quantities, such as pT or m depending on 
the measure used, but always in units of GeV. Either yScale 
or pTscale must be set nonvanishing, and the larger of 
the two dictates the actual value. 
   

          argument nJetMin  (default = 1) :  
the minimum number of jets to be reconstructed. If used, it can override 
the yScale and pTscale values. 
   

          argument nJetMax  (default = 0) :  
the maximum number of jets to be reconstructed. Is not used if below 
nJetMin. If used, it can override the yScale 
and pTscale values. Thus e.g. 
nJetMin = nJetMax = 3 can be used to reconstruct exactly 
3 jets. 
   

          argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

          If the routine returns false the analysis failed, 
e.g. because the number of particles was smaller than the minimum number 
of jets requested. 
   
 

           
After the analysis has been performed, a few ClusterJet 
class methods are available to return the result of the analysis: 
 


          int ClusterJet::size()   
          
gives the number of jets found, with jets numbered 0 through 
size() - 1. 
   
 


          Vec4 ClusterJet::p(int i)   
          
gives a Vec4 corresponding to the four-momentum defined by 
the sum of all the contributing particles to the i'th jet. 
   
 


          int ClusterJet::mult(int i)   
          
the number of particles that have been clustered into the i'th jet. 
   
 


          int ClusterJet::jetAssignment(int i)   
          
gives the index of the jet that the particle i of the event 
record belongs to, 
   
 


          void ClusterJet::list(ostream& os = cout)   
          
provides a listing of the reconstructed jets. 
   
 


          int ClusterJet::distanceSize()   
          
the number of most recent clustering scales that have been stored 
for readout with the next method. Normally this would be five, 
but less if fewer clustering steps occurred. 
   
 


          double ClusterJet::distance(int i)   
          
clustering scales, with distance(0) being the most 
recent one, i.e. normally the highest, up to distance(4) 
being the fifth most recent. That is, with n being the final 
number of jets, ClusterJet::size(), the scales at which 
n+1 jets become n, n+2 become n+1, 
and so on till n+5 become n+4. Nonexisting clustering 
scales are returned as zero. The physical interpretation of a scale is 
as provided by the respective distance measure (Lund, JADE, Durham). 
   
 

           
There is also one method that returns information accumulated for all 
the events analyzed so far. 
 


          int ClusterJet::nError()   
          
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

          CellJet
           
 
CellJet (a.k.a. PYCELL) is a simple cone jet 
finder in the UA1 spirit, see the PYTHIA 6 manual. It works in an 
(eta, phi, eT) space, where eta is pseudorapidity, 
phi azimuthal angle and eT transverse energy. 
It will draw cones in R = sqrt(Delta-eta^2 + Delta-phi^2) 
around seed cells. If the total eT inside the cone exceeds 
the threshold, a jet is formed, and the cells are removed from further 
analysis. There are no split or merge procedures, so later-found jets 
may be missing some of the edge regions already used up by previous 
ones. Not all particles in the event are assigned to jets; leftovers 
may be viewed as belonging to beam remnants or the underlying event. 
It is not used by any experimental collaboration, but is closely 
related to the more recent and better theoretically motivated 
anti-kT algorithm [Cac08]. 
 

           
To do jet finding analyses you have to set up a CellJet 
instance, and then feed in events to it, one at a time. Especially note 
that, if you want to use the options where energies are smeared in 
order so emulate detector imperfections, you must hand in an external 
random number generator, preferably the one residing in the 
Pythia class. The results for the latest event are 
available as output from a few methods. 
 


          CellJet::CellJet(double etaMax = 5., int nEta = 50, int nPhi = 32, int select = 2, int smear = 0, double resolution = 0.5, double upperCut = 2., double threshold = 0., Rndm* rndmPtr = 0)   
          
create a CellJet instance, where 

          argument etaMax  (default = 5.) :  
the maximum +-pseudorapidity that the detector is assumed to cover. 
   

          argument nEta  (default = 50) :  
the number of equal-sized bins that the +-etaMax range 
is assumed to be divided into. 
   

          argument nPhi  (default = 32) :  
the number of equal-sized bins that the phi range 
+-pi is assumed to be divided into. 
   

          argument select  (default = 2) :  
tells which particles are analyzed, 

          argumentoption  1 : all final-state particles,   

          argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), 
and   

          argumentoption  3 : only charged final-state particles.   
   

          argument smear  (default = 0) :  
strategy to smear the actual eT bin by bin, 

          argumentoption  0 : no smearing,   

          argumentoption  1 : smear the eT according to a Gaussian 
with width resolution * sqrt(eT), with the Gaussian truncated 
at 0 and upperCut * eT,   

          argumentoption  2 : smear the e = eT * cosh(eta) according 
to a Gaussian with width resolution * sqrt(e), with the 
Gaussian truncated at 0 and upperCut * e.   
   

          argument resolution  (default = 0.5) :  
see above. 
   

          argument upperCut  (default = 2.) :  
see above. 
   

          argument threshold  (default = 0 GeV) :  
completely neglect all bins with an eT < threshold. 
   

          argument rndmPtr  (default = 0) :  
the random-number generator used to select the smearing described 
above. Must be handed in for smearing to be possible. If your 
Pythia class instance is named pythia, 
then &pythia.rndm would be the logical choice. 
   
   
 


          bool CellJet::analyze( const Event& event, double eTjetMin = 20., double coneRadius = 0.7, double eTseed = 1.5, ostream& os = cout)   
          
performs a jet finding analysis, where 

          argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

          argument eTjetMin  (default = 20. GeV) :  
is the minimum transverse energy inside a cone for this to be 
accepted as a jet. 
   

          argument coneRadius  (default = 0.7) :  
 is the size of the cone in (eta, phi) space drawn around 
the geometric center of the jet. 
   

          argument eTseed  (default = 1.5 GeV) :  
the minimum eT in a cell for this to be acceptable as 
the trial center of a jet. 
   

          argument os  (default = cout) :  is the output stream for 
error messages. (The method does not rely on the Info 
machinery for error messages.) 
   

          If the routine returns false the analysis failed, 
but currently this is not foreseen ever to happen. 
   
 

           
After the analysis has been performed, a few CellJet 
class methods are available to return the result of the analysis: 
 


          int CellJet::size()   
          
gives the number of jets found, with jets numbered 0 through 
size() - 1, 
   
 


          double CellJet::eT(i)   
          
gives the eT of the i'th jet, where jets have been 
ordered with decreasing eT values, 
   
 


          double CellJet::etaCenter(int i)   
          
   
double CellJet::phiCenter(int i)   
          
gives the eta and phi coordinates of the geometrical 
center of the i'th jet, 
   
 


          double CellJet::etaWeighted(int i)   
          
   
double CellJet::phiWeighted(int i)   
          
gives the eta and phi coordinates of the 
eT-weighted center of the i'th jet, 
   
 


          int CellJet::multiplicity(int i)   
          
gives the number of particles clustered into the i'th jet, 
   
 


          Vec4 CellJet::pMassless(int i)   
          
gives a Vec4 corresponding to the four-momentum defined 
by the eT and the weighted center of the i'th jet, 
   
 


          Vec4 CellJet::pMassive(int i)   
          
gives a Vec4 corresponding to the four-momentum defined by 
the sum of all the contributing cells to the i'th jet, where 
each cell contributes a four-momentum as if all the eT is 
deposited in the center of the cell, 
   
 


          double CellJet::m(int i)   
          
gives the invariant mass of the i'th jet, defined by the 
pMassive above, 
   
 


          void CellJet::list()   
          
provides a listing of the above information (except pMassless, 
for reasons of space). 
   
 

           
There is also one method that returns information accumulated for all 
the events analyzed so far. 


          int CellJet::nError()   
          
tells the number of times analyze(...) failed to analyze 
events, i.e. returned false. 
   
 

          SlowJet
           
 
SlowJet is a simple program for doing jet finding according 
to either of the kT, anti-kT, and Cambridge/Aachen 
algorithms, in a cylindrical coordinate frame. The name is obviously 
an homage to the FastJet program [Cac06, Cac12]. 
That package contains many more algorithms, with many more options, 
and, above all, is much faster. Therefore SlowJet 
is not so much intended for massive processing of data or Monte Carlo 
files as for simple first tests. Nevertheless, within the advertised 
capabilities of SlowJet, it has been checked to find 
identically the same jets as FastJet. The time consumption 
typically is around or below that to generate an LHC pp event 
in the first place, so is not prohibitive. But the time rises rapidly 
for large multiplicities, so obviously SlowJet can not 
be used for tricks like distributing a dense grid of pseudoparticles 
to be able to define jet areas, like FastJet can, and also 
not for events with much pileup or other noise. 
 

           
The recent introduction of fjcore, containing the core 
functionality of FastJet in a very much smaller package, 
has changed the conditions. It now is possible (even encouraged by the 
authors) to distribute the two fjcore files as part of the 
PYTHIA package. Therefore the SlowJet class doubles as a 
convenient front end to fjcore, managing the conversion 
back and forth between PYTHIA and FastJet variables. Some 
applications may still benefit from using the native codes, but the default 
now is to let SlowJet call on fjcore for the 
jet finding. 
 

           
The first step is to decide which particles should be included in the 
analysis, and with what four-momenta. The SlowJet constructor 
allows to pick a maximum pseudorapidity defined by the extent of the 
assumed detector, to pick among some standard options of which particles 
to analyze, and to allow for some standard mass assumptions, like that 
all charged particles have the pion mass. Obviously this is only a 
restricted set of possibilities. 
 

           
Full flexibility can be obtained by deriving from the base class 
SlowJetHook to write your own include method. 
This will be presented with one final-state particle at a time, and 
should return true for those particles that should be 
analyzed. It is also possible to return modified four-momenta and masses, 
to take into account detector smearing effects or particle identity 
misassignments, but you must respect E^2 - p^2 = m^2. 
 

           
Alternatively you can modify the event record itself, or a copy of it 
(if you want to keep the original intact). For instance, only final 
particles are considered in the analysis, i.e. particles with positive 
status code, so negative status code should then be assigned to those 
particles that you do not want to see analyzed. Again four-momenta and 
masses can be modified, subject to E^2 - p^2 = m^2. 
 

           
The jet reconstructions is then based on sequential recombination with 
progressive removal, using the E recombination scheme. To be 
more specific, the algorithm works as follows. 

             

          1. Each particle to be analyzed defines an original cluster. It has a 
well-defined four-momentum and mass at input. From this information the 
triplet (pT, y, phi) is calculated, i.e. the transverse momentum, 
rapidity and azimuthal angle of the cluster.
            2.  

          2. Define distance measures of all clusters i to the beam 

            d_iB = pT_i^2p
             
and of all pairs (i,j) relative to each other 

            d_ij = min( pT_i^2p, pT_j^2p) DeltaR_ij^2 / R^2 
             
where 

            DeltaR_ij^2 = (y_i - y_j)^2 + (phi_i - phi_j)^2.
             
The jet algorithm is determined by the user-selected p value, 
where p = -1 corresponds to the anti-kT one, 
p = 0 to the Cambridge/Aachen one and p = 1 to the 
kT one. Also R is chosen by the user, to give an 
approximate measure of the size of jets. However, note that jets need 
not have a circular shape in (y, phi) space, so R 
can not straight off be interpreted as a jet radius.
            3.  

          3. Find the smallest of all d_iB and d_ij.
            4.  

          4. If this is a d_iB then cluster i is removed from 
the clusters list and instead added to the jets list. 
Optionally, a pTjetMin requirement is imposed, where only 
clusters with pT > pTjetMin are added to the jets list. 
If so, some of the analyzed particles will not be part of any final 
jet.
            5.  

          5. If instead the smallest measure is a d_ij then the 
four-momenta of the i and j clusters are added 
to define a single new cluster. Convert this four-momentum to a new 
(pT, y, phi) triplet and update the list of d_iB 
and d_ij.
            6.  

          6. Return to step 3 until no clusters remain.
            7.  

           
 

           
To do jet finding analyses you first have to set up a SlowJet 
instance, where the arguments of the constructor specifies the details 
of the subsequent analyses. Thereafter you can feed in events to it, 
one at a time, and have them analyzed by the analyze method. 
Information on the resulting jets can be extracted by a few different methods. 
The minimal procedure only requires one call per event to do the analysis. 
We will begin by presenting it, and only afterwards some extensions. 
 


          SlowJet::SlowJet(int power, double R, double pTjetMin = 0., double etaMax = 25., int select = 2, int massSet = 2, SlowJetHook* sjHookPtr = 0, bool useFJcore = true, bool useStandardR = true)   
          
create a SlowJet instance, where 

          argument power   :  
tells (half) the power of the transverse-momentum dependence of the 
distance measure, 

          argumentoption  -1 : the anti-kT algorithm,   

          argumentoption  0 : the Cambridge/Aachen algorithm, and   

          argumentoption  1 : the kT algorithm.   
   

          argument R   :  
the R size parameter, which is crudely related to the radius of 
the jet cone in (y, phi) space around the center of the jet. 
   

          argument pTjetMin  (default = 0.0 GeV) :  
the minimum transverse momentum required for a cluster 
to become a jet. By default all clusters become jets, and therefore 
all analyzed particles are assigned to a jet. 
For comparisons with perturbative QCD, however, it is only meaningful 
to consider jets with a significant pT. 
   

          argument etaMax  (default = 25.) :  
the maximum +-pseudorapidity that the detector is assumed to cover. 
If you pick a value above 20 there is assumed to be full coverage 
(obviously only meaningful for theoretical studies). 
   

          argument select  (default = 2) :  
tells which particles are analyzed, 

          argumentoption  1 : all final-state particles,   

          argumentoption  2 : all observable final-state particles, 
i.e. excluding neutrinos and other particles without strong or 
electromagnetic interactions (the isVisible() particle 
method), 
and   

          argumentoption  3 : only charged final-state particles.   
   

          argument massSet  (default = 2) : masses assumed for the particles 
used in the analysis 

          argumentoption  0 : all massless,   

          argumentoption  1 : photons are massless while all others are 
assigned the pi+- mass, and 
   

          argumentoption  2 : all given their correct masses.   
   

          argument sjHookPtr  (default = 0) :  
gives the possibility to send in your own selection routine for which 
particles should be part of the analysis; see further below on the 
SlowJetHook class. If this pointer is sent in nonzero, 
etaMax and massSet are disregarded, 
and select only gives the basic selection, to which 
the user can add further requirements. 
   

          argument useFJcore  (default = true) : choice of code used for finding 
the jets. Does not affect the outcome of the analysis, but only the speed, 
and some more specialized options. 

          argumentoption  true : use the fjcore package of 
FastJet 3.0.5. 
   

          argumentoption  false : use the native SlowJet implementation, 
which gives a slower jet finding, but allows some extra options of 
step-by-step jet joining. 
   
   

          argument useStandardR  (default = true) : definition of R 
distance between two jets. This switch is only meaningful for 
useFJcore = false; within the fjcore package 
the standard option below is always used. 

          argumentoption  true : standard, as described above, 
DeltaR_ij^2 = (y_i - y_j)^2 + (phi_i - phi_j)^2. 
   

          argumentoption  false : alternative, 
DeltaR_ij^2 = 2 (cosh(y_i - y_j) - cos(phi_i - phi_j)), 
which corresponds to the rim of the "deformed cone" giving a constant 
invariant mass between the two partons considered (for fixed 
masses and transverse momenta). 
   
   
   
 


          bool SlowJet::analyze( const Event& event)   
          
performs a jet finding analysis, where 

          argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

          If the routine returns false the analysis failed, 
but currently this is not foreseen ever to happen. 
   
 

           
After the analysis has been performed, a few SlowJet 
class methods are available to return the result of the analysis: 
 


          int SlowJet::sizeOrig()   
          
gives the original number of particles (and thus clusters) that the 
analysis starts with. 
   
 


          int SlowJet::sizeJet()   
          
gives the number of jets found, with jets numbered 0 through 
sizeJet() - 1, and ordered in terms of decreasing 
transverse momentum values w.r.t. the beam axis, 
   
 


          double SlowJet::pT(i)   
          
gives the transverse momentum pT of the i'th jet, 
   
 


          double SlowJet::y(int i)   
          
   
double SlowJet::phi(int i)   
          
gives the rapidity y and azimuthal angle phi 
of the center of the i'th jet (defined by the vector sum 
of constituent four-momenta), 
   
 


          Vec4 SlowJet::p(int i)   
          
   
double SlowJet::m(int i)   
          
gives a Vec4 corresponding to the four-momentum 
sum of the particles assigned to the i'th jet, and 
the invariant mass of this four-vector, 
   
 


          int SlowJet::multiplicity(int i)   
          
gives the number of particles clustered into the i'th jet, 
   
 


          vector<int> SlowJet::constituents(int i)   
          
gives a list of the indices of the particles that have been 
clustered into the i'th jet, 
   
 


          vector<int> SlowJet::clusConstituents(int i)   
          
gives a list of the indices of the particles that have been 
clustered into the i'th cluster, at the current stage of 
the clustering process,  
   
 


          int SlowJet::jetAssignment(int i)   
          
gives the index of the jet that the particle i of the event 
record belongs to, or -1 if there is no jet containing particle 
i, 
   
 


          void SlowJet::removeJet(int i)   
          
removes the i'th jet, 
   
 


          void SlowJet::list()   
          
provides a listing of the basic jet information from above. 
   
 

           
These are the basic methods. For more sophisticated usage 
it is possible to trace the clustering, one step at a time. 
It requires the native jet finding code, useFJcore = false 
in the constructor. If so, the setup method should be used 
to read in the event and find the initial smallest distance. Each subsequent 
doStep will then do one cluster joining and find the new 
smallest distance. You can therefore interrogate which clusters will be 
joined next before the joining actually is performed. Alternatively you 
can take several steps in one go, or take steps down to a predetermined 
number of jets plus remaining clusters. 
 


          bool SlowJet::setup( const Event& event)   
          
selects the particles to be analyzed, calculates initial distances, 
and finds the initial smallest distance. 

          argument event   : is an object of the Event class, 
most likely the pythia.event one. 
   

          If the routine returns false the setup failed, 
but currently this is not foreseen ever to happen. 
   
 


          bool SlowJet::doStep()   
          
do the next step of the clustering. This can either be that two 
clusters are joined to one, or that a cluster is promoted to a jet 
(which is discarded if its pT value is below 
pTjetMin). 

          The routine will only return false if there are no 
clusters left, or if useFJcore = true. 
   
 


          bool SlowJet::doNSteps(int nStep)   
          
calls the doStep() method nStep times, 
if possible. Will return false if the list of clusters 
is emptied before then. The stored jet information is still perfectly 
fine; it is only the number of steps that is wrong. Will also return 
false if useFJcore = true. 
   
 


          bool SlowJet::stopAtN(int nStop)   
          
calls the doStep() method until a total of nStop 
jet and cluster objects remain. Will return false if this 
is not possible, specifically if the number of objects already is smaller 
than nStop when the method is called. The stored jet and 
cluster information is still perfectly fine; it only does not have the 
expected multiplicity. Will also return false if 
useFJcore = true. 
   
 


          int SlowJet::sizeAll()   
          
gives the total current number of jets and clusters. The jets are 
numbered 0 through sizeJet() - 1, while the clusters 
are numbered sizeJet() through sizeAll() - 1. 
(Internally jets and clusters are represented by two separate arrays, 
but are here presented in one flat range.) Note that the jets are ordered 
in decreasing pT, while the clusters are not ordered. 
When useFJcore = true there are no intermediate steps, and 
thus the number of clusters is zero (after jet finding). 
   
 

           
With this extension, the methods double pT(int i), 
double y(int i), double phi(int i), 
Vec4 p(int i), double m(int i) and 
int multiplicity(int i) can be used as before. 
Furthermore, list() generalizes 
 


          void SlowJet::list(bool listAll = false, ostream& os = cout)   
          
provides a listing of the above information. 

          argument listAll   :  lists both jets and clusters if true, 
else only jets. 
   
   
  

           
Three further methods can be used to check what will happen next. 
 


          int SlowJet::iNext()   
          
   
int SlowJet::jNext()   
          
   
double SlowJet::dNext()   
          
if the next step is to join two clusters, then the methods give 
the (i,j, d_ij) values, if instead to promote 
a cluster to a jet then (i, -1, d_iB). 
If no clusters remain then (-1, -1, 0.). Note that 
the cluster numbers are offset as described above, i.e. they begin at 
sizeJet(), which of course easily could be subtracted off. 
Also note that the jet and cluster lists are (moderately) reshuffled 
in each new step. When useFJcore = true there are no 
intermediate steps, and thus these methods do not return meaningul 
information. 
   
  

           
Finally, and separately, the SlowJetHook class can be used 
for a more smart selection of which particles to include in the analysis. 
For instance, isolated and/or high-pT muons, electrons and 
photons should presumably be identified separately at an early stage, 
and then not clustered to jets. 
  

           
Technically, it works like with ";?>User Hooks. 
That is, PYTHIA contains the base class. You write a derived class. 
In the main program you create an instance of this class, and hand it 
in to SlowJet; in this case already as part of the 
constructor. 
 

           
The following methods should be defined in your derived class. 
 


          SlowJetHook::SlowJetHook()   
          
   
virtual SlowJetHook::~SlowJetHook()   
          
the constructor and destructor need not do anything, and if so you 
need not write your own destructor. 
   
 


          virtual bool SlowJetHook::include(int iSel, const Event& event, Vec4& pSel, double& mSel)   
          
is the main method that you will need to write. It will be called 
once for each final-state particle in an event, subject to the 
value of the select switch in the SlowJet 
constructor. The value select = 2 may be convenient 
since then you do not need to remove e.g. neutrinos yourself, but 
use select = 1 for full control. The method should then 
return true if you want to see particle included in the 
jet clustering, and false if not. 

          argument iSel   : is the index in the event record of the 
currently studied particle. 
   

          argument event   : is an object of the Event class, 
most likely the pythia.event one, where the currently 
studied particle is found. 
   

          argument pSel   :  is at input the four-momentum of the 
currently studied particle. You can change the values, e.g. to take 
into account energy smearing in the detector, to define the initial 
cluster value, without corrupting the event record itself. 
   

          argument mSel   :  is at input the mass of the currently studied 
particle. You can change the value, e.g. to take into account 
particle misidentification, to define the initial cluster value, 
without corrupting the event record itself. Note that the changes of 
pSel and mSel must be coordinated such that 
E^2 - p^2 = m^2 holds. 
   
   
 

           
It is also possible to define further methods of your own. 
One such could e.g. be called directly in the main program before the 
analyze method is called, to identify and bookkeep 
some event properties you may not want to reanalyze for each 
individual particle. 
 


 
 
pythia8-8.1.86.orig/phpdoc/PartonDistributions.php0000644000175000017500000001637312357553536020403 0ustar  sunsun

Parton Distributions






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          Parton Distributions
           
 
The parton distributions file contains the PDF class. 
PDF is the base class, from which specific PDF 
classes are derived. 
 

           
The choice of which PDF to use is made by settings in the 
Pythia class, see ";?>here. 
These settings also allow to access all the proton PDF's available in the 
LHAPDF library [Wha05]. Thus there is no need for a normal user 
to study the PDF class. The structure must only be understood 
when interfacing new PDF's, e.g. ones not yet found in LHAPDF. 
 

          The PDF base class
           
 
PDF defines the interface that all PDF classes should respect. 
The constructor requires the incoming beam species to be given: 
even if used for a proton PDF, one needs to know whether the beam 
is actually an antiproton. This is one of the reasons why Pythia 
always defines two PDF objects in an event, one for each beam. 
 

           
Once a PDF object has been constructed, call it pdf, 
the main method is pdf.xf( id, x, Q2), which returns 
x*f_id(x, Q2), properly taking into account whether the beam 
is an antiparticle or not. 
 

           
Whenever the xf member is called with a new flavour, x 
or Q^2, the xfUpdate member is called to do the actual 
updating. This routine may either update that particular flavour or all 
flavours at this (x, Q^2) point. (In the latter case the saved 
id value idSav should be set to 9.) The choice is 
to be made by the producer of a given set, based on what he/she deems most 
effective, given that sometimes only one flavour need be evaluated, and 
about equally often all flavours are needed at the same x and 
Q^2. Anyway, the latest value is always kept in memory. This is 
the other reason why Pythia has one separate PDF 
object for each beam, so that values at different x can be kept 
in memory. 
 

           
Two further public methods are xfVal( id, x, Q2) and 
xfSea( id, x, Q2). These are simple variants whereby 
the quark distributions can be subdivided into a valence and a sea part. 
If these are not directly accessible in the parametrization, one can 
make the simplified choices u_sea = ubar_sea, u_val = u_tot - u_sea, 
and correspondingly for d. (Positivity will always be guaranteed 
at output.) The xfUpdate method should also take care of 
updating this information. 
 

           
A method setExtrapolate(bool) allows you to switch between 
freezing parametrizations  at the x and Q^2 boundaries 
(false) or extrapolating them outside the boundaries 
(true). This method is only implemented for the LHAPDF class 
below. If you implement a new PDF you are free to use this method, but it 
would be smarter to hardcode the desired limiting behaviour. 
 

          Derived classes
           
 
There is only one pure virtual method, xfUpdate, that 
therefore must be implemented in any derived class. A reasonable 
number of such classes come with the program: 
 

           
For protons: 

             

          • LHAPDFinterface provides an interface to the 
LHAPDF library[Wha05].
            •  

          • GRV94L gives the GRV 94 L parametrization 
[Glu95].
            •  

          • CTEQ5L gives the CTEQ 5 L parametrization 
[Lai00].
            •  

          • MSTWpdf gives the four distributions of the 
MRST/MSTW group that have been implemented.
            •  

          • CTEQ6pdf gives the six distributions of the 
CTEQ/CT group that have been implemented.
            •  

          • NNPDF gives four distributions from the NNPDF 2.3 
QCD+QED sets that have been implemented.
            •  

           
The current default is CTEQ 5L, which has been used in most studies 
to date. 
 

           
For charged pions: 

             

          • GRVpiL gives the GRV 1992 pi+ parametrization.
            •  

           
 

           
For Pomerons (used to describe diffraction): 

             

          • PomFix gives a simple but flexible 
Q2-independent parametrization.
            •  

          • PomH1FitAB gives the H1 2006 Fit A and Fit B 
parametrizations.
            •  

          • PomH1Jets gives the H1 2007 Jets parametrization.
            •  

           
 

           
For charged leptons (e, mu, tau): 

             

          • Lepton gives a QED parametrization [Kle89]. 
In QED there are not so many ambiguities, so here one set should be 
enough. On the other hand, there is the problem that the 
lepton-inside-lepton pdf is integrably divergent for x → 1, 
which gives numerical problems. Like in PYTHIA 6, the pdf is therefore 
made to vanish for x > 1 - 10^{-10}, and scaled up in the range 
1 - 10^{-7} < x < 1 - 10^{-10} in such a way that the 
total area under the pdf is preserved.
            •  

          • LeptonPoint gives the trivial distribution of a 
pointlike (i.e. unresolved) charged lepton.
            •  

           
 

           
For neutrinos: 

             

          • NeutrinoPoint is the only method, so there is no choice. 
Analogously to LeptonPoint it gives the distribution of a 
pointlike (i.e. unresolved) neutrino. A difference, however, is that 
neutrinos always are lefthanded, so there is no need to average over 
incoming spin states. Since the PYTHIA formalism assumes unpolarized 
beams, and thus implicitly includes a 1/2 for incoming fermions, the 
NeutrinoPoint PDF is normalized to 2 rather than 1 
to compensate for this.
            •  

           
 

           
There is another method, isSetup(), that returns the 
base-class boolean variable isSet. This variable is 
initially true, but could be set false if the 
setup procedure of a PDF failed, e.g. if the user has chosen an unknown 
PDF set. 
 

           
The MRST/MSTW, CTEQ/CT, NNPDF and H1 PDF routines are based on the 
interpolation in (x, Q) grids. The grid files are stored in the 
xmldoc subdirectory, like settings and particle data. 
Only PDF sets that will be used are read in during the initialization 
stage. 
 


 
 
pythia8-8.1.86.orig/phpdoc/SUSYProcesses.php0000644000175000017500000005776212357553536017056 0ustar  sunsun

SUSY Processes






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          SUSY
           

           
Here is collected processes involving supersymmetric particle 
production, with the exception of the (extended) Higgs sector. 
Since the number of separate but closely related processes is so big, 
there will not be switches for each separate process but only for a 
reasonable set of subgroups. However, the general switches 
SUSY:idA and SUSY:idB,valternatively 
vectors SUSY:idVecA and SUSY:idVecB, 
may be used in conjunction with any of these groups to provide 
some additional flexibility to concentrate on processes involving 
only specific (s)particle final states, see below. 

           
 

           
Most of the SUSY implementation in PYTHIA 8 has been written by 
N. Desai and is documented in [Des11]. Please give due 
credit to external contributions to PYTHIA 8, such as this one, by 
including the original work in your list of references when using this 
implementation. The cross section formulae are mostly taken from 
[Boz07] and [Fuk11]. 

           
 

          Since the implementation of SUSY processes was only recently 
completed [Des11], case-by-case validations against other codes 
are still recommended. A set of default validations have 
already been carried out by the authors, comparing to 
the PYTHIA 6 SUSY implementation and to the XSUSY code, 
using an sps1a spectrum. Explicit 
validations of the non-trivial SLHA2-specific extensions have 
generally not been carried out yet, with the exception of the R-parity 
violating single-sparticle production cross sections. Please report 
the results of any user validations you may carry out to the authors. 

           
 

          Important Note on SLHA: 
In order to simulate SUSY processes it is required to read in the 
couplings and masses relevant for the scenario to be studied. This 
is done with the help of the SUSY Les Houches Accord (SLHA), including 
the SLHA2 extensions and generalizations. (Internally, the SLHA2 
conventions are used. SLHA1 spectra are automatically translated into 
SLHA2 notation during initialization.) The 
reading of a relevant SLHA file must be set up, as described 
on ";?>the SLHA page. 
Attempting to generate SUSY processes without a properly initialized 
SLHA spectrum is strongly discouraged and may lead to unexpected 
results. Always check for warnings and errors reported by the SLHA 
reader during the initialization stage. 
 

          SUSY Processes
           
 

          Note 1: Decays of SUSY particles are described 
separately below. 
 

          Note 2: One special possibility is that the gluino or 
some squark(s) are sufficiently long-lived to hadronize. See 
";?>the R-hadrons page for further details. 
 

          Note 3: lepton- and photon-initial states are not yet available. 
Only quark/gluon-initiated 2 → 2 and 2 → 1 (RPV) 
processes have been implemented. 
 

          Note 4: cross sections will be correctly folded with open 
branching fractions of cascade decays, but at present any difference between 
particle and antiparticle decay tables is not taken into account. This 
possibility will be included in a future update. 
 


          SUSY:all  On
Off
   (default = off)
          
Common switch for production of supersymmetric particles, i.e. 
particles with R-parity -1. 
   
 


          SUSY:idA       (default = 0; minimum = 0)
          
Option to limit the sum over possible outgoing states in SUSY 
2 → 2 processes to ones including a specific particle 
identity code. The default corresponds to summing over all possible 
indices. A non-zero value of SUSY:idA selects only processes 
that contain the state corresponding to that particular particle identity 
code in the fundamental 2 → 2 scattering process (summed 
over particle/antiparticle). It is the user's responsibility to ensure 
that (a subset of) the processes to be simulated actually include this 
particle at the 2 → 2 level; thus, asking for the lightest 
neutralino (code 1000021) to be present in a squark-squark production 
process will give no match. 
   
 


          SUSY:idB       (default = 0; minimum = 0)
          
As for SUSY:idA, but requires an additional particle 
with PDG code SUSY:idB to be present in the 2 → 2 
process. Thus, using  SUSY:idA and  SUSY:idB 
a specific subprocess can be selected. Again only the absolute sign is 
used, i.e. the summation over particle and antiparticle is retained. 
Also the order of SUSY:idA and SUSY:idB is 
irrelevant; since both possible orderings are checked for a match 
with the two outgoing particles. (Although not recommended, should 
SUSY:idA be zero and SUSY:idB nonzero 
a match is searched for just like in the normal case with 
SUSY:idA nonzero and SUSY:idB zero.) 
   
 


          SUSY:idVecA       (default = 0; minimum = 0)
          
As for SUSY:idA, but as a vector of PDG codes. 
(Character-string input of such vectors should be as a 
comma-separated list, without any blanks.) Thus, it selects only 
processes that have a final-state particle corresponding to one 
of the identity codes in this vector. Note that, to activate this, 
SUSY:idA must be equal to zero; if not then the match 
to SUSY:idA takes precedence. 
   
 


          SUSY:idVecB       (default = 0; minimum = 0)
          
As for SUSY:idB, but as a vector of PDG codes. 
(Character-string input of such vectors should be as a 
comma-separated list, without any blanks.) As above, to activate this, 
SUSY:idB must be equal to zero; if not then the match to 
SUSY:idB takes precedence. For the matching, either of 
SUSY:idA and SUSY:idVecA may be combined with 
either of SUSY:idB and SUSY:idVecB. 
As above one of the two outgoing SUSY particles must match one of the 
particles in SUSY:id(Vec)A and the other one of the 
particles in SUSY:id(Vec)B when both are nonzero. 
   
 


          SUSY:sin2thetaWMode      (default = 2; minimum = 1; maximum = 3)
          
The value of sin2(thetaW) should be taken from 

          
1 : SM value, defined at M_Z, taken from  PYTHIA's StandardModel:sin2thetaW parameter.
          
2 : SUSY value, defined at M_SUSY, derived from the  running gauge couplings in BLOCK GAUGE in the SLHA  file. Note: if no such block is present in the input file, this option  will default back to option 1 above, i.e., the SM value.
          
3 : Pole value, defined by 1 - M_W^2/M_Z^2,  using the pole masses stored in the SLHA BLOCK MASS, or,  alternatively, PYTHIA's internal pole masses if no such block is  present.
          
 

          Gluino Pair Production
           
 


          SUSY:gg2gluinogluino  On
Off
   (default = off)
          
Pair production of gluinos by gluon-gluon initial states. 
   
 


          SUSY:qqbar2gluinogluino  On
Off
   (default = off)
          
Pair production of gluinos by quark-antiquark annihilation and 
t-channel squark exchange.  The cross section 
expression follows [Fuk11] and include the possibility 
of non-minimal flavour violation through misalignment of quarks with 
squarks. Only the MFV case has been explicitly validated. 
   
 

          Associated Squark-Gluino Production
           
 


          SUSY:qg2squarkgluino  On
Off
   (default = off)
          
Associated production of a squark with a gluino. The cross section 
expression follows [Fuk11] and include the possibility 
of non-minimal flavour violation through misalignment of quarks with 
squarks. Only the MFV case has been explicitly validated. 
   
 

          Squark Pair Production
           
 


          SUSY:gg2squarkantisquark  On
Off
   (default = off)
          
Pair production of a scalar quark together with a scalar antiquark by 
gluon annihilation via s-channel gluon exchange, t- and 
u-channel squark exchange, and the direct 4-point coupling. 
The cross section expression follows [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 


          SUSY:qqbar2squarkantisquark  On
Off
   (default = off)
          
Pair production of a scalar quark together with a scalar antiquark 
by quark-antiquark annihilation. 
For same-isospin ~q~q* production (i.e., ~u~u*, 
~u~c*, ...), the s-channel gluon, photon, and 
Z and t-channel gluino contributions have so far 
been implemented (i.e., the t-channel neutralino contributions 
are neglected). For opposite-isospin ~q~q* production 
(~u~d*, ~u~s*, ...), the s-channel W 
and t-channel gluino contributions have been implemented 
(i.e., the t-channel neutralino contributions are neglected). 
The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
(Note to PYTHIA 6 users: 
in older PYTHIA 6 versions, a bug caused the ~t1~t2* cross to be 
overcounted by a factor of 2. Starting from version 6.4.24, that 
generator now agrees with the implementation here.) 
   
 


          SUSY:qqbar2squarkantisquark:onlyQCD  On
Off
   (default = off)
          
When switched on this flag switches off all but the 
s-channel gluon contribution in the 
calculation of same-isospin squark-antisquark production cross 
sections. Intended for reference only. For the most 
accurate physics simulation, leave this flag in the off 
position. 
   
 


          SUSY:qq2squarksquark  On
Off
   (default = off)
          
Pair production of scalar quarks (squark-squark and its charge 
conjugate process; for squark-antisquark production see above) 
by t- and u-channel gluino, neutralino, and 
chargino exchange. The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
(Note to PYTHIA 6 users: PYTHIA 6 only included the gluino exchange 
contribution, which typically dominates due to the size of the strong 
coupling; for counterchecks, 
the flag SUSY:qq2squarksquark:onlyQCD 
below can be switched on to eliminate the chargino and neutralino 
contributions.) 
   
 


          SUSY:qq2squarksquark:onlyQCD  On
Off
   (default = off)
          
When switched on this flag causes the t- or 
u-channel neutralino and chargino contributions to be 
ignored in the calculation of squark pair production cross sections. 
Intended for reference only. For the most accurate physics simulation, 
leave this flag in the off position. 
   
 

          Neutralino and Chargino Pair Production
           
 


          SUSY:qqbar2chi0chi0  On
Off
   (default = off)
          
Pair production of neutralinos by quark-antiquark annihilation. With 
four neutralino species this gives ten separate processes, codes 
1201 - 1210. The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 


          SUSY:qqbar2chi+-chi0  On
Off
   (default = off)
          
Associated chargino-neutralino production by quark-antiquark 
annihilation. With four neutralino species, two chargino ones, and 
maintaining charge conjugate processes separate, this gives 16 
separate processes, codes 1221 - 1236. The cross section expressions 
follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 


          SUSY:qqbar2chi+chi-  On
Off
   (default = off)
          
Pair production of charginos by quark-antiquark annihilation. With 
two chargino species and maintaining mutually charge conjugate 
processes separate, this gives four separate processes, codes 
1241 - 1244. The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 

          Associated Neutralino/Chargino + Squark/Gluino Production
           
 


          SUSY:qg2chi0squark  On
Off
   (default = off)
          
Pair production of neutralinos from quark-gluon initial states. 
The cross section expressions follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 


          SUSY:qg2chi+-squark  On
Off
   (default = off)
          
Associated chargino-squark production from quark-gluon initial states. 
annihilation. The cross section expressions 
follow [Boz07]. 
Only the MFV case has been explicitly validated. 
   
 


          SUSY:qqbar2chi0gluino  On
Off
   (default = off)
          
Associated neutralino-gluino production by quark-antiquark 
annihilation. 
The cross section expressions follow 
[Fuk11]. Only the MFV case has been explicitly validated. 
   
 


          SUSY:qqbar2chi+-gluino  On
Off
   (default = off)
          
Associated chargino-gluino production by quark-antiquark 
annihilation. The cross section expressions follow 
[Fuk11]. Only the MFV case has been explicitly 
validated. (Note to PYTHIA 6 users: small differences between 
this implementation and PYTHIA 6 arise due 
to slightly different treatments of the weak mixing angle, 
which is fixed in PYTHIA 6, while it is computed from the SLHA input 
in PYTHIA 8; see SUSY:sin2thetaWMode above.) 
   
 

          Slepton Production
           


          SUSY:qqbar2sleptonantislepton  On
Off
   (default = off)
          
Pair production of slepton-antislepton via s-channel W, Z and gamma 
exchange.  Includes both charged sleptons and sneutrinos but right 
handed sneutrinos currently not supported. 
   
 
 

          R-parity violating squark production
           
 


          SUSY:qq2antisquark  On
Off
   (default = off)
          
Resonant squark production via R-parity violating UDD couplings. The 
couplings must be input using the SLHA2 structure. 
   
 
 

          Decays of SUSY Particles
           
 
Based on the parameters read in from the SLHA, PYTHIA 8 will normally 
compute the decay modes of SUSY particles automatically, using the 
SusyResonanceDecays class(es). Essentially all tree-level 
2-body decays in the MSSM 
have been implemented this way, excepting so far only those involving 
Higgs bosons (either in the in- or out-state) or gravitinos. 
Available channels so far include: 

             

          • ~q → q + ~chi
            •  

          • ~q → ~q + W/Z
            •  

          • ~q → q + q (RPV UDD)
            •  

          • ~q → l + q (RPV LQD)
            •  

          • ~g → ~q + q
            •  

          • ~chi → ~chi + Z/W
            •  

          • ~chi → ~q + q
            •  

          • ~chi → ~l/~nu + l/nu
            •  

          • ~chi0 → q + q + q (RPV UDD)
            •  

          • ~l/~nu → l/nu + ~chi
            •  

          • ~l/~nu → ~l/~nu + W/Z
            •  

           
All channels are still undergoing validation, so this 
implementation should be considered preliminary. 
Still missing but to be included in a forthcoming update 
are: 3-body decays of charginos (via RPV), and 2-body decays of squarks and 
gauginos with Higgs as one of the decay products. 
 
Some 3-body decays have been implemented with Matrix Element weighting. 
In particular, those for a neutralino to a lighter neutralino and a 
fermion pair can be enabled. 
 


          SUSYResonance:3BodyMatrixElement  On
Off
   (default = off)
          
When "on", the spin-averaged, squared matrix element is used 
to sample the phase space for resonance decay.  Currently, only 
possible for a heavy neutralino decay to a light neutralino 
and a fermion-antifermion pair. 
   
 
 


"?>


          

          




 
 
 
pythia8-8.1.86.orig/phpdoc/HadronLevelStandalone.php0000644000175000017500000003242212357553536020562 0ustar  sunsun

Hadron-Level Standalone






SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


          
 

          Hadron-Level Standalone
           
 
The Les Houches Accord allows external process-level configurations 
to be fed in, for subsequent parton-level and hadron-level generation 
to be handled internally by PYTHIA. There is no correspondingly 
standardized interface if you have external events that have also 
been generated through the parton-level stage, so that only the 
hadron-level remains to be handled. A non-standard way to achieve this 
exists, however, and can be useful both for real applications and 
for various tests of the hadronization model on its own. 
 

           
The key trick is to set the flag ProcessLevel:all = off. 
When pythia.next() is called it then does not try to 
generate a hard process. Since there are no beams, it is also not 
possible to perform the normal PartonLevel step. 
(It is still possible to generate final-state radiation, but this 
is not automatic. It would have to be done by hand, using the 
pythia.forceTimeShower(...) method, before 
pythia.next() is called.) 
Thus only the HadronLevel methods are 
called, to take the current content of the event record stored in 
pythia.event as a starting point for any hadronization 
and decays that are allowed by the normal parameters of this step. 
Often the input would consist solely of partons grouped into colour 
singlets, but also (colour-singlet) particles are allowed. 
 

           
To set up all the parameters, a pythia.init() call has 
to be used, without any arguments. In brief, the structure of the 
main program therefore should be something like 

           
  Pythia pythia;                               // Declare generator. 
  Event& event = pythia.event                  // Convenient shorthand. 
  pythia.readString("ProcessLevel:all = off"); // The trick! 
  pythia.init();                               // Initialization. 
  for (int iEvent = 0; iEvent < nEvent; ++iEvent) { 
    // Insert filling of event here! 
    pythia.next();                             // Do the hadron level. 
  } 

           
Of course this should be supplemented by analysis of events, error checks, 
and so on, as for a normal PYTHIA run. The unique aspect is how to fill 
the event inside the loop, before pythia.next() 
is called. 
 

          Input configuration
           
 
To set up a new configuration the first step is to throw away the current 
one, with event.reset(). This routine will also reserve 
the zeroth entry in the even record to represent the event as a whole. 
 

           
With the event.append(...) methods a new entry is added at the 
bottom of the current record, i.e. the first time it is called entry 
number 1 is filled, and so on. The append  method basically 
exists in four variants, either without or with history information, 
and with four-momentum provided either as a Vec4 four-vector 
or as four individual components: 

           
  append( id, status, col, acol, p, m) 
  append( id, status, col, acol, px, py, pz, e, m) 
  append( id, status, mother1, mother2, daughter1, daughter2, col, acol, p, m) 
  append( id, status, mother1, mother2, daughter1, daughter2, col, acol, px, py, pz, e, m) 

           
The methods return the index at which the entry has been stored, 
but normally you would not use this feature. 
 

           
You can find descriptions of the input variables 
";?>here. 
The PDG particle code id and the Les Houches Accord colour 
col and anticolour acol tags must be set 
correctly. The four-momentum and mass have to be provided in units of GeV; 
if you omit the mass it defaults to 0. 
 

           
Outgoing particles that should hadronize should be given status code 23. 
Often this is the only status code you need. You could e.g. also fill in 
incoming partons with -21 and intermediate ones with -22, if you so wish. 
Usually the choice of status codes is not crucial, so long as you recall 
that positive numbers correspond to particles that are still around, while 
negative numbers denote ones that already hadronized or decayed. However, 
so as not to run into contradictions with the internal PYTHIA checks 
(when Check:event = on), or with external formats such as 
HepMC, we do recommend the above codes. When pythia.next() 
is called the positive-status particles that hadronize/decay get the sign 
of the status code flipped to negative but the absolute value is retained. 
The new particles are added with normal PYTHIA status codes. 
 

           
For normal hadronization/decays in pythia.next() the 
history encoded in the mother and daughter indices is not used. 
Therefore the first two append methods, which set all these 
indices vanishing, should suffice. The subsequent hadronization/decays 
will still be properly documented. 
 

           
The exception is when you want to include junctions in your string 
topology, i.e. have three string pieces meet. Then you must insert in 
your event record the (decayed) particle that is the reason for the 
presence of a junction, e.g. a baryon beam remnant from which several 
valence quarks have been kicked out, or a neutralino that underwent a 
baryon-number-violating decay. This particle must have as daughters 
the three partons that together carry the baryon number. 
  

           
The sample program in main21.cc illustrates how you can work 
with this facility, both for simple parton configurations and for more 
complicated ones with junctions. 
 

           
As an alternative to setting up a topology with the methods above, 
a ";?>Les Houches Event File (LHEF) 
can also provide the configurations, using the "no-beams" extension. 
For parsing reasons the <init> and 
</init> tags need to be present as two separate 
lines, but there need not be anything between them. If there is,
then the beam identities should be picked to be 0. A standard
<LesHouchesEvents version="1.0"> line must also
be at the top of the file. For the rest only the 
<event>....</event> blocks need to be present, 
one for each event. You should select Beams:frameType = 4
and provide the file name in Beams:LHEF, but setting  
ProcessLevel:all = off here is superfluous since the  
absence of beams is enough to make this apparent. Needless to say, an 
externally linked LHAup class works as well as an LHEF, 
with Beams:frameType = 5. 
 

           
The event information to store in the LHEF, or provide by the 
LHAup, is essentially the same as above. The only 
difference is in status codes: outgoing particles should have 1 
instead of 23, and intermediate resonances 2 instead of -22. 
Incoming partons, if any, are -1 instead of -21. 
 

          Extensions to resonance decays
           
 
With the above scheme, pythia.next() will generate 
hadronization, i.e. string fragmentation and subsequent decays of 
normal unstable particles. Alternatively it could be used to
decay ";?>resonances, i.e. 
W, Z, top, Higgs, SUSY and other massive particles. 
 

           
The default when a resonance is encountered is to decay it, let the 
decay products shower, and finally hadronize the partons. Should a
decay sequence already be provided at input, this sequence will 
be used as input for the showers, which are handled consecutively,
followed by hadronization. Thus, a Higgs could be provided alone, 
or decaying to a pair of W bosons, or the same with the 
W's decaying further to fermion pairs. Needless to say,
correct process-specific angular correlations in decays should not 
be expected when the process is unspecified.  


           
If you do not want resonances to decay then you can use the 
ProcessLevel:resonanceDecays = off setting.
If instead you want them to decay but not shower, you can 
use either PartonLevel:FSR = off or 
PartonLevel:FSRinResonances = off. A warning here 
is that, generally, it is not a good idea to provide a part of the
shower history but not all, e.g.  Z^0 → q qbar g:
it is not straightforward to avoid doublecouning or other problems
within this simpler alternative to a full-scale event generation.
 

           
The input configuration has to follow the rules described above, 
i.e. ProcessLevel:all = off should be set for internal 
input, but is not necessary for LHEF input. It is possible to combine 
several resonances, and other coloured or uncoloured particles into 
the same event. Partonic daughters of resonances would then shower, 
but other partons not. It may be possible to fool the program, 
however, since this is not a fully tested core functionality, 
so don't combine wildly if there is no reason to.

 

          Repeated hadronization or decay
           
 
An alternative approach is possible with the 
pythia.forceHadronLevel() routine. This method does 
a call to the HadronLevel methods, irrespective of the 
value of the HadronLevel:all flag. If you hadronize 
externally generated events it is equivalent to a 
pythia.next() call with 
ProcessLevel:all = off. 
 

           
This method truly sticks to the hadron level, and thus cannot handle 
resonance decays.
 

           
The similarity of names indicates that 
pythia.forceTimeShower( int iBeg, int iEnd, double pTmax, 
int nBranchMax = 0) is intended to belong to the same set of 
work-by-hand methods. Here iBeg and iEnd 
give the range of partons that should be allowed to shower, 
pTmax the maximum pT scale of emissions, 
and a nonzero nBranchMax a maximum number of allowed 
branchings. Additionally, a scale has to be set for each 
parton that should shower, which requires an additional final argument 
to the append methods above. This scale limits the maximum 
pT allowed for each parton, in addition to the global 
pTmax. When not set the scale defaults to 0, meaning no 
radiation for that parton. 
 

           
The real application instead is for repeated hadronization of the same 
PYTHIA process- and parton-level event. This may for some studies 
help to save time, given that these two first step are more 
time-consuming than the hadronization one. 
 

           
For repeated hadronization you should first generate an event as usual, 
but with HadronLevel:all = off. This event you can save 
in a temporary copy, e.g. Event savedEvent = pythia.event. 
Inside a loop you copy back with pythia.event = savedEvent, 
and call pythia.forceHadronLevel() to obtain a new 
hadronization history. 
 

           
A more limited form of repetition is if you want to decay a given kind 
of particle repeatedly, without having to generate the rest of the event 
anew. This could be the case e.g. in B physics applications. 
Then you can use the pythia.moreDecays() method, which 
decays all particles in the event record that have not been decayed 
but should have been done so. The 
pythia.particleData.mayDecay( id, false/true) method 
may be used to switch off/on the decays of a particle species 
id, so that it is not decayed in the 
pythia.next() call but only inside a loop over a number of 
tries. 
 

           
Between each loop the newly produced decay products must be 
removed and the decayed particle status restored to undecayed. 
The former is simple, since the new products are appended to the 
end of the event record: event.saveSize() saves the 
initial size of the event record, and event.restoreSize() 
can later be used repeatedly to restore this original size, which means 
that the new particles at the end are thrown away. The latter is more 
complicated, and requires the user to identify the positions of all 
particles of the species and restore a positive status code with 
event[i].statusPos(). 
 

           
The main15.cc program illustrates both these methods, 
i.e. either repeated hadronization or repeated decay of PYTHIA 
events. 
 


 
 
pythia8-8.1.86.orig/phpdoc/SaveSettings.php0000644000175000017500000002115512357553536016766 0ustar  sunsun

Save Settings









SETTINGS SAVED TO FILE

          "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

          "; }
}
?>


 

          Save Settings
           
 
The information on this webpage is only valid if you access the PHP 
dynamic webpages via a web browser, and does not apply to the static 
HTML equivalents. With PHP, all of the settings in the PYTHIA program 
are represented by radio buttons or fill-in boxes, that makes it easy 
for you to  construct a file with your desired changes. This file can 
then be read into PYTHIA by your main program to steer the whole run. 
 

          Basic instructions
           
 
The functionality of the PHP option is described in the following. 
 

           

           

          ";

if($_POST["resetval"] == 1)
{
  //DELETE OLD FILE ON RESET
  unlink($_POST["rmfile"]);
}

if (!$_POST["filename"])
{
  echo "Please choose a (temporary) file name:
          ";
  echo "";
  echo "";
  echo "";
  echo "";
}
else if ($_POST["filename"] != "")
{
  $filename = $_POST["filename"];
  $filepath = "files/".$_POST["filename"];
  $filecheck = file_exists($filepath);
  
  if(($_POST["finish"] == 1) || ($_GET["returning"] == 1))
    {
      $filecheck = 0;
      $fileopen = 1;
    }
  
  if ($filecheck == 1)
    {
      echo "File in use.. choose again:
          ";
      echo "
          ";
      echo "";
      echo "";
      echo "
          ";
    }
  else
    {
      if(!$_POST["finish"])
	{
	  echo "Filename chosen:  "; 
          echo $_POST["filename"];
          echo "
          ";
	  echo "";
	  echo "
          ";
	  echo "";
	  echo "";
	  echo "";
	  echo "
          ";
	  echo "";
	  echo "";
	  echo "";
	  echo "";
	  echo "
          ";
	}
      if($fileopen != 1)
	{
	  //CREATE & OPEN FILE & CHANGE PERMISSIONS TO 666
	  $handle = fopen($filepath, 'w');
	  chmod($filepath, 0666);
	  fclose($handle);

	}
      if ($_POST["finish"])
	{
	  echo "
        • Right Click to Save Target: ".$filename."
          ";
	  echo "
          ";
	  echo "";
	  echo "";
	  echo "";
	  echo "";
	  echo "
          ";
	}
    }
}

echo "
          • ";

?>
 
 

             
 

          •  
To begin with, you must specify a (temporary) file name in the 
box above. If the filename already exists on the server, you will be 
requested to pick a new name.
            •  
 

          •  
Once you have Submitted your filename, you can browse through the 
pages and make your selections. The values currently selected when you 
load the page are the default values.
            •  
 

          •  
When you have finished making your changes to a particular page, 
you must click on Save Settings at the bottom of 
the page. This will write the changes to your temporary file. If you make 
a mistake, just repeat the procedure for that category again.
             
 

          •  
When you have finished all the changes you need, return to this page 
and click Finish File.
            •  
 

          •  
You will then get up a link, that you are asked to right-click 
with your mouse (or equivalent).
            •  
 

          •  
In the menu that appears, pick the option Save Link As 
(or equivalent).
            •  
 

          •  
You will now get up a file browser, for you to pick and Save 
the location and file name (the latter by default the same as the 
temporary file name).
            •  
 

          •  
At any time, if you click the RESET button, your temporary 
file will be erased and you can start anew.
            •  
 

          •  
Before you use a file, be sure to check it visually to confirm 
that you saved what you intended to. Minor corrections are easily made 
in a text editor. 

            •  
 

           
 

           

          Supplementary notes
           
 
 
The documentation files exist in three versions. 

             
 

          1.  
As a set of .xml files, in the xmldoc/ 
subdirectory. These are the master copies that no user ever should 
touch, but that are used to generate the variants below.
            2.  
 

          2.  
As a set of .html files, in the htmldoc/ 
subdirectory. You can open your own locally installed copy of the 
Welcome.html file in your web browser and thereafter 
navigate among all the pages. You can learn which parameters are free 
to be changed, but not change anything, except by brute-force 
cut-and-paste to a file of your own.
            3.  
 

          3.  
As a set of .php files, in the phpdoc/ 
subdirectory. For these files to provide the functionality described 
above they have to accessed via a webserver. The one where you have 
your homepage should work fine. Alternatively you can use pages already 
available on another server.
            4.  
 

           
 

           
A few further comments about the operation of the PHP option: 

             
 

          •  
To set up the PHP files on your webserver, you have to install the whole 
phpdoc/ subdirectory there. In addition to the 
.php code this includes a few more files, plus a 
subdirectory named files where the temporary files 
are stored. This subdirectory must have public write access to work 
(chmod a+w files if not).
            •  
 

          •  
The "temporary" files stored in files actually remain 
unless the RESET button is used. The good news is that this makes 
it possible to recover a file that otherwise might be lost. The bad 
news is that the files directory may need to be cleaned 
up from time to time. (But typically the files are pretty small, so 
this should not be a major problem.)
            •  
 

          •  
When you click the Save Settings button on the bottom of a page 
all changed settings are written on the temporary file in the format 

             
name-of-flag/mode/parameter/word = value 

             
with one variable per line. Thereafter all the settings on the page 
are restored to their default values.
            •  
 

          •  
You can return to a page to do some further changes and save those. 
If you change the same parameter twice, it is the last value that 
counts. (Both values are stored in the file, with the more recent 
lower down, and then PYTHIA does the changes sequentially.) However 
remember that unchanged values are not stored, so if you want to 
restore some default value it may be simpler to edit the file 
afterwards.
            •  
 

          •  
The changeable flags/modes/parameters/words are mainly in the 
"Setup Run Tasks" section of the index, but a few (less 
frequently used ones) can also be found lower down, in the 
"Study Output" and "Link to Other Programs" pages. 
 

          •  
It is not (yet) possible to modify particle data within the PHP-based 
setup approach. This is a more difficult task, since e.g. the 
modifications one may want to do in a decay table can be quite 
interrelated. 
 


 
 
 
pythia8-8.1.86.orig/phpdoc/BeamRemnants.php0000644000175000017500000005116312357553536016725 0ustar  sunsun

Beam Remnants






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Beam Remnants
             
 

            Introduction
             
 
The BeamParticle class contains information on all partons 
extracted from a beam (so far). As each consecutive multiparton interaction 
defines its respective incoming parton to the hard scattering a 
new slot is added to the list. This information is modified when 
the backwards evolution of the spacelike shower defines a new 
initiator parton. It is used, both for the multiparton interactions 
and the spacelike showers, to define rescaled parton densities based 
on the x and flavours already extracted, and to distinguish 
between valence, sea and companion quarks. Once the perturbative 
evolution is finished, further beam remnants are added to obtain a 
consistent set of flavours. The current physics framework is further 
described in [Sjo04]. 
 

             
The introduction of ";?>rescattering 
in the multiparton interactions framework further complicates the 
processing of events. Specifically, when combined with showers, 
the momentum of an individual parton is no longer uniquely associated 
with one single subcollision. Nevertheless the parton is classified 
with one system, owing to the technical and administrative complications 
of more complete classifications. Therefore the addition of primordial 
kT to the subsystem initiator partons does not automatically 
guarantee overall pT conservation. Various tricks are used to 
minimize the mismatch, with a brute force shift of all parton 
pT's as a final step. 
 

             
Much of the above information is stored in a vector of 
ResolvedParton objects, which each contains flavour and 
momentum information, as well as valence/companion information and more. 
The BeamParticle method list() shows the 
contents of this vector, mainly for debug purposes. 
 

             
The BeamRemnants class takes over for the final step 
of adding primordial kT to the initiators and remnants, 
assigning the relative longitudinal momentum sharing among the 
remnants, and constructing the overall kinematics and colour flow. 
This step couples the two sides of an event, and could therefore 
not be covered in the BeamParticle class, which only 
considers one beam at a time. 
 

             
The methods of these classes are not intended for general use, 
and so are not described here. 
 

             
In addition to the parameters described on this page, note that the 
choice of ";?>parton densities is made 
in the Pythia class. Then pointers to the pdf's are handed 
on to BeamParticle at initialization, for all subsequent 
usage. 
 

            Primordial kT
             
 
The primordial kT of initiators of hard-scattering subsystems 
are selected according to Gaussian distributions in p_x and 
p_y separately. The widths of these distributions are chosen 
to be dependent on the hard scale of the central process and on the mass 
of the whole subsystem defined by the two initiators: 

             
sigma = (sigma_soft * Q_half + sigma_hard * Q) / (Q_half + Q) 
  * m / (m_half + m) 

             
Here Q is the hard-process renormalization scale for the 
hardest process and the pT scale for subsequent multiparton 
interactions, m the mass of the system, and 
sigma_soft, sigma_hard, Q_half and 
m_half parameters defined below. Furthermore each separately 
defined beam remnant has a distribution of width sigma_remn, 
independently of kinematical variables. 
 


            BeamRemnants:primordialKT  On
Off
   (default = on)
            
Allow or not selection of primordial kT according to the 
parameter values below. 
   
 


            BeamRemnants:primordialKTsoft      (default = 0.5; minimum = 0.)
            
The width sigma_soft in the above equation, assigned as a 
primordial kT to initiators in the soft-interaction limit. 
   
 


            BeamRemnants:primordialKThard      (default = 2.0; minimum = 0.)
            
The width sigma_hard in the above equation, assigned as a 
primordial kT to initiators in the hard-interaction limit. 
   
 


            BeamRemnants:halfScaleForKT      (default = 1.; minimum = 0.)
            
The scale Q_half in the equation above, defining the 
half-way point between hard and soft interactions. 
   
 


            BeamRemnants:halfMassForKT      (default = 1.; minimum = 0.)
            
The scale m_half in the equation above, defining the 
half-way point between low-mass and high-mass subsystems. 
(Kinematics construction can easily fail if a system is assigned 
a primordial kT value higher than its mass, so the 
mass-dampening is intended to reduce some troubles later on.) 
   
 


            BeamRemnants:primordialKTremnant      (default = 0.4; minimum = 0.)
            
The width sigma_remn, assigned as a primordial kT 
to beam-remnant partons. 
   
 

             
A net kT imbalance is obtained from the vector sum of the 
primordial kT values of all initiators and all beam remnants. 
This quantity is compensated by a shift shared equally between 
all partons, except that the dampening factor m / (m_half + m) 
is again used to suppress the role of small-mass systems. 
 

             
Note that the current sigma definition implies that 
<pT^2> = <p_x^2>+ <p_y^2> = 2 sigma^2. 
It thus cannot be compared directly with the sigma 
of nonperturbative hadronization, where each quark-antiquark 
breakup corresponds to <pT^2> = sigma^2 and only 
for hadrons it holds that <pT^2> = 2 sigma^2. 
The comparison is further complicated by the reduction of 
primordial kT values by the overall compensation mechanism. 
 


            BeamRemnants:rescatterRestoreY  On
Off
   (default = off)
            
Is only relevant when ";?>rescattering 
is switched on in the multiparton interactions scenario. For a normal 
interaction the rapidity and mass of a system is preserved when 
primordial kT is introduced, by appropriate modification of the 
incoming parton momenta. Kinematics construction is more complicated for 
a rescattering, and two options are offered. Differences between these 
can be used to explore systematic uncertainties in the rescattering 
framework.
             
The default behaviour is to keep the incoming rescattered parton as is, 
but to modify the unrescattered incoming parton so as to preserve the 
invariant mass of the system. Thereby the rapidity of the rescattering 
is modified.
             
The alternative is to retain the rapidity (and mass) of the rescattered 
system when primordial kT is introduced. This is made at the 
expense of a modified longitudinal momentum of the incoming rescattered 
parton, so that it does not agree with the momentum it ought to have had 
by the kinematics of the previous interaction.
             
For a double rescattering, when both incoming partons have already scattered, 
there is no obvious way to retain the invariant mass of the system in the 
first approach, so the second is always used. 
   
 

            Colour flow
             
 
The colour flows in the separate subprocesses defined in the 
multiparton-interactions scenario are tied together via the assignment 
of colour flow in the beam remnant. This is not an unambiguous 
procedure, but currently no parameters are directly associated with it. 
However, a simple "minimal" procedure of colour flow only via the beam 
remnants does not result in a scenario in 
agreement with data, notably not a sufficiently steep rise of 
<pT>(n_ch). The true origin of this behaviour and the 
correct mechanism to reproduce it remains one of the big unsolved issues 
at the borderline between perturbative and nonperturbative QCD. 
As a simple attempt, an additional step is introduced, wherein the gluons 
of a lower-pT system are merged with the ones in a higher-pT one. 
 


            BeamRemnants:reconnectColours  On
Off
   (default = on)
            
Allow or not a system to be merged with another one. 
   
 


            BeamRemnants:reconnectRange      (default = 10.0; minimum = 0.; maximum = 10.)
            
A system with a hard scale pT can be merged with one of a 
harder scale with a probability that is 
pT0_Rec^2 / (pT0_Rec^2 + pT^2), where 
pT0_Rec is reconnectRange times pT0, 
the latter being the same energy-dependent dampening parameter as 
used for multiparton interactions. 
Thus it is easy to merge a low-pT system with any other, 
but difficult to merge two high-pT ones with each other. 
   
 

             
The procedure is used iteratively. Thus first the reconnection probability 
P = pT0_Rec^2 / (pT0_Rec^2 + pT^2) of the lowest-pT 
system is found, and gives the probability for merger with the 
second-lowest one. If not merged, it is tested with the third-lowest one, 
and so on. For the m'th higher system the reconnection 
probability thus becomes (1 - P)^(m-1) P. That is, there is 
no explicit dependence on the higher pT scale, but implicitly 
there is via the survival probability of not already having been merged 
with a lower-pT system. Also note that the total reconnection 
probability for the lowest-pT system in an event with n 
systems becomes 1 - (1 - P)^(n-1). Once the fate of the 
lowest-pT system has been decided, the second-lowest is considered 
with respect to the ones above it, then the third-lowest, and so on. 
 

             
Once it has been decided which systems should be joined, the actual merging 
is carried out in the opposite direction. That is, first the hardest 
system is studied, and all colour dipoles in it are found (including to 
the beam remnants, as defined by the holes of the incoming partons). 
Next each softer system to be merged is studied in turn. Its gluons are, 
in decreasing pT order, inserted on the colour dipole i,j 
that gives the smallest (p_g p_i)(p_g p_j)/(p_i p_j), i.e. 
minimizes the "disturbance" on the existing dipole, in terms of 
pT^2 or Lambda measure (string length). The insertion 
of the gluon means that the old dipole is replaced by two new ones. 
Also the (rather few) quark-antiquark pairs that can be traced back to 
a gluon splitting are treated in close analogy with the gluon case. 
Quark lines that attach directly to the beam remnants cannot be merged 
but are left behind. 
 

             
The joining procedure can be viewed as a more sophisticated variant of 
the one introduced already in [Sjo87]. Clearly it is ad hoc. 
It hopefully captures some elements of truth. The lower pT scale 
a system has the larger its spatial extent and therefore the larger its 
overlap with other systems. It could be argued that one should classify 
individual initial-state partons by pT rather than the system 
as a whole. However, for final-state radiation, a soft gluon radiated off 
a hard parton is actually produced at late times and therefore probably 
less likely to reconnect. In the balance, a classification by system 
pT scale appears sensible as a first try. 
 

             
Note that the reconnection is carried out before resonance decays are 
considered. Colour inside a resonance therefore is not reconnected. 
This is a deliberate choice, but certainly open to discussion and 
extensions at a later stage, as is the rest of this procedure. 
 

            Further variables
             
 


            BeamRemnants:maxValQuark       (default = 3; minimum = 0; maximum = 5)
            
The maximum valence quark kind allowed in acceptable incoming beams, 
for which multiparton interactions are simulated. Default is that hadrons 
may contain u, d and s quarks, 
but not c and b ones, since sensible 
kinematics has not really been worked out for the latter. 
   
 


            BeamRemnants:companionPower       (default = 4; minimum = 0; maximum = 4)
            
When a sea quark has been found, a companion antisea quark ought to be 
nearby in x. The shape of this distribution can be derived 
from the gluon mother distribution convoluted with the 
g → q qbar splitting kernel. In practice, simple solutions 
are only feasible if the gluon shape is assumed to be of the form 
g(x) ~ (1 - x)^p / x, where p is an integer power, 
the parameter above. Allowed values correspond to the cases programmed. 

             
Since the whole framework is approximate anyway, this should be good 
enough. Note that companions typically are found at small Q^2, 
if at all, so the form is supposed to represent g(x) at small 
Q^2 scales, close to the lower cutoff for multiparton interactions. 
   
 

             
When assigning relative momentum fractions to beam-remnant partons, 
valence quarks are chosen according to a distribution like 
(1 - x)^power / sqrt(x). This power is given below 
for quarks in mesons, and separately for u and d 
quarks in the proton, based on the approximate shape of low-Q^2 
parton densities. The power for other baryons is derived from the 
proton ones, by an appropriate mixing. The x of a diquark 
is chosen as the sum of its two constituent x values, and can 
thus be above unity. (A common rescaling of all remnant partons and 
particles will fix that.) An additional enhancement of the diquark 
momentum is obtained by its x value being rescaled by the 
valenceDiqEnhance factor. 
 


            BeamRemnants:valencePowerMeson      (default = 0.8; minimum = 0.)
            
The abovementioned power for valence quarks in mesons. 
   
 


            BeamRemnants:valencePowerUinP      (default = 3.5; minimum = 0.)
            
The abovementioned power for valence u quarks in protons. 
   
 


            BeamRemnants:valencePowerDinP      (default = 2.0; minimum = 0.)
            
The abovementioned power for valence d quarks in protons. 
   
 


            BeamRemnants:valenceDiqEnhance      (default = 2.0; minimum = 0.5; maximum = 10.)
            
Enhancement factor for valence diquarks in baryons, relative to the 
simple sum of the two constituent quarks. 
   
 


            BeamRemnants:allowJunction  On
Off
   (default = on)
            
The off option is intended for debug purposes only, as 
follows. When more than one valence quark is kicked out of a baryon 
beam, as part of the multiparton interactions scenario, the subsequent 
hadronization is described in terms of a junction string topology. 
This description involves a number of technical complications that 
may make the program more unstable. As an alternative, by switching 
this option off, junction configurations are rejected (which gives 
an error message that the remnant flavour setup failed), and the 
multiparton interactions and showers are redone until a 
junction-free topology is found. 
   
 


"?>


            

            




 
 
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pythia8-8.1.86.orig/phpdoc/POWHEGMerging.php0000644000175000017500000001700412357553536016647 0ustar  sunsun

POWHEG Merging






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            POWHEG Merging
             
 
POWHEG [Nas04] in its character is very much like a parton shower, 
with a Sudakov factor arising from the ordering of emissions. Both 
POWHEG-BOX [Ali10] and PYTHIA are based on a combined evolution 
of ISR and FSR in pT-related "hardness" variables, and thus are 
kindred spirits. The hardness definitions differ, however. Frequently we 
will therefore need to distinguish between POWHEG-hardness and 
PYTHIA-hardness in the following. 


             
The simplest merging solution, of continuing the PYTHIA shower at the LHA 
scale hardness where POWHEG leaves off, is obtained if you 
set SpaceShower:pTmaxMatch = 1 and 
TimeShower:pTmaxMatch = 1. But then mismatches are bound to 
happen: some regions may be doublecounted, while others may not be counted 
at all. Depending on the choice of hardness, such mismatches might be small. 
  

             
There are no guarantees, however, so a (hopefully) more accurate merging
scheme is coded up in the examples/main31 files. Here we would 
like to discuss the (POWHEG-specific) input settings for 
main31.cc, and attempt to give some recommendations on how to 
use the main program to perform a matching of POWHEG-BOX with PYTHIA 8. 
The main source of documentation is main31.cmnd, however. 
 

             
POWHEG-BOX inputs contain Born-like events (with no resolved emission) and 
Real-type events (containing an additional parton). The mismatch between 
POWHEG-hardness and PYTHIA-hardness can be minimised if the PYTHIA shower 
knows 

            a) The POWHEG-hardness criterion (through which the separation of Born- 
and Real-like events is defined), and 

            b) The POWHEG-hardness value (which separates Born- and Real-like 
events). 

            If these definitions are known, then 
PYTHIA can fill missing phase space regions through vetoed showering: let 
the shower sweep over the full phase space, using its PYTHIA-hardness 
ordering, and use the POWHEG-hardness to veto those emissions that POWHEG 
should already have covered. This is only possible since the 
POWHEG-hardness criterion and the shower ordering criterion are very 
similar. In the more general case a truncated showering would be needed
[Nas04]. 
 

             
For vetoed showering, it is necessary to define the POWHEG-hardness criterion 
in main31.cc. In the presence of multiple partons, the definition 
quickly becomes complicated, and allows for different choices. Similar 
decisions have already been made in the implementation of POWHEG, one example 
being the choice in defining which "hardness value" is transferred as 
POWHEG-hardness, e.g. by deciding if the "singular regions" of the FKS or the 
CS approach are used. If the POWHEG-hardness definition were to be changed,
or extended to more objects, the main31.cc code would need to
be modified accordingly.  
 

             
main31.cc is designed to be very flexible, and allows access 
to many possible choices. However, this flexibility means that many parameters 
can be changed, potentially leading to confusion. Thus, recommendations might 
prove helpful. All mistakes and inaccuracies rest with the author. 
 

             
We recommend the usage of vetoed showers. This means using 

                      POWHEG:veto = 1 

             
This means that PYTHIA will sweep over the full phase space, and apply a veto 
on parton shower emissions for which the POWHEG-hardness separation between 
radiator and emission is above the POWHEG-hardness value of the current input 
event. The variation POWHEG:veto = 0 can be used to assess 
how much phase space is under- or double-counted. 


             
To define the POWHEG-hardness criterion, use 

                      POWHEG:pTdef = 1 

             
Other values can be used by experts to assess variations. 


             
Both POWHEG-BOX and PYTHIA 8 generate emissions through a parton shower 
step, meaning that both programs have a clear definition of a radiator 
that emits particles, which is very similar (if not identical). 
To fix the ambiguity if the radiator or the emitted particle should be 
called "the emission", use 

                      POWHEG:emitted = 0 

             
More complicated choices can be used by experts. For instance, use 
POWHEG:emitted = 2 to check the POWHEG-hardness of both 
radiator and emitted. 


             
To exhaustively fix the criterion by which to veto parton shower 
emissions, it is important to decide which partons/parton pairs 
are used to calculate the POWHEG hardness of a PYTHIA 8 emission. 
The minimal and recommended choice is 

                      POWHEG:pTemt = 0 

             
This means that only the POWHEG hardness w.r.t the radiating leg is 
checked, and recoil effects are neglected. This prescription should be 
very similar to how a hardness value is assigned to a Real-type event 
in the POWHEG-BOX, since in the (implementation of FKS in the) POWHEG-BOX, 
initial state splittings only have singular regions with the radiating 
initial state parton, and final state splittings only have singular 
regions w.r.t the radiating final state line. Other choices of 
POWHEG:pTemt are available. A warning is that the impact of 
changes can be huge, particularly for inputs with many jets. Other choices 
therefore should only be made by experts, and a high degree of caution 
is advised. 
 

             
It is furthermore necessary to decide on a value of the hardness criterion. 
POWHEG-BOX transfers this value in the SCALUP member of 
Les Houches Events, and we recommend using this value by setting 

                      POWHEG:pThard = 0 

             
As a variation, in order to estimate the uncertainty due this choice of 
POWHEG-hardness definition, it can be useful to also check 
POWHEG:pThard = 2. This will recalculate the POWHEG-hardness 
value as promoted in [Ole12]. 
 

             
Finally, you need to decide how many emissions the vetoed shower should 
check after an allowed emission has been constructed. If the hardness 
definitions in POWHEG-BOX and PYTHIA 8 where identical, all checking could 
be stopped after the first allowed PS emission. To be prudent, we 
recommend setting 

                      POWHEG:vetoCount = 3 

             
which will then check up to three allowed emissions. Higher values of 
POWHEG:vetoCount have not lead to visible differences 
for the processes which have been tested.  



 
 
pythia8-8.1.86.orig/phpdoc/PDFSelection.php0000644000175000017500000007524112357553536016633 0ustar  sunsun

PDF Selection






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            PDF Selection
             
 
This page contains five subsections. The first deals with how to 
pick  the parton distribution set for protons, including from LHAPDF, 
to be used for all proton and antiproton beams. The second is a special 
option that allows a separate PDF set to be used for the hard process 
only, while the first choice would still apply to everything else. 
The third and fourth give access to pion and Pomeron PDF's, respectively, 
the latter being used to describe diffractive systems. 
The fifth gives the possibility to switch off the lepton 
"parton density". More information on PDF classes is found 
";?>here. 
 

            Parton densities for protons
             
 
The selection of parton densities is made once and then is propagated 
through the program. It is essential to make an informed choice, 
for several reasons [Kas10]: 

            Warning 1: the choice of PDF set affects a number of 
properties of events. A change of PDF therefore requires a complete 
retuning e.g.  of the multiparton-interactions model for minimum-bias and 
underlying events. 

            Warning 2: People often underestimate the differences 
between different sets on the market. The sets for the same order are 
constructed to behave more or less similarly at large x and 
Q^2, while the multiparton interactions are dominated by the 
behaviour in the region of small x and Q^2. A good 
PDF parametrization ought to be sensible down to x = 10^-6 
(x = 10^-7) and Q^2 = 1 GeV^2 for Tevatron (LHC) 
applications. Unfortunately there are distributions on the market that 
completely derail in that region. The main51.cc and 
main52.cc programs in the examples 
subdirectory provide some examples of absolutely minimal sanity checks 
before a new PDF set is put in production. 

            Warning 3: NLO and LO sets tend to have quite different 
behaviours, e.g. NLO ones have less gluons at small x, which then is 
compensated by positive corrections in the NLO matrix elements. 
Therefore do not blindly assume that an NLO tune has to be better than 
an LO one when combined with the LO matrix elements in PYTHIA. There are 
explicit examples where such thinking can lead you down the wrong alley, 
especially if you study low-pT physics. In the list below you 
should therefore be extra cautious when using set 6 or set 9. 
 

             
The simplest option is to pick one 
of the distributions available internally: 
 


            PDF:pSet      (default = 2; minimum = 1; maximum = 16)
            
Parton densities to be used for proton beams (and, by implication, 
antiproton ones): 

            
1 : GRV 94L, LO alpha_s(M_Z) = 0.128  (this set is out of date, but retained for historical comparisons).
            
2 : CTEQ 5L, LO alpha_s(M_Z) = 0.127  (this set is also out of date, but not badly so, and many tunes  are based on it).
            
3 : MRST LO* (2007),  NLO alpha_s(M_Z) = 0.12032.
            
4 : MRST LO** (2008),  NLO alpha_s(M_Z) = 0.11517.
            
5 : MSTW 2008 LO (central member),  LO alpha_s(M_Z) = 0.13939.
            
6 : MSTW 2008 NLO (central member),  NLO alpha_s(M_Z) = 0.12018 (NLO, see Warning 3 above).
            
7 : MSTW 2008 NLO (central member),  NLO alpha_s(M_Z) = 0.12018 (NLO, see Warning 3 above).
            
8 : MSTW 2008 NLO (central member),  NLO alpha_s(M_Z) = 0.12018 (NLO, see Warning 3 above).
            
9 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180 (NLO, see Warning 3 above).
            
10 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180 (NLO, see Warning 3 above).
            
11 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180 (NLO, see Warning 3 above).
            
12 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180 (NLO, see Warning 3 above).
            
13 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.130. 
            
14 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.119. 
            
15 : NNPDF2.3 QCD+QED NLO alpha_s(M_Z) = 0.119. 
            
16 : NNPDF2.3 QCD+QED NNLO alpha_s(M_Z) = 0.119.  
            

            Note: the alpha_s(M_Z) values and the order of the 
running in the description above is purely informative, and does not 
affect any other parts of the program. Instead you have the freedom to 
set alpha_s(M_Z) value and running separately for 
";?>hard processes 
(including resonance decays), 
";?>multiparton interactions, 
";?>initial-state radiation, and 
";?>final-state radiation. 
 

             
This is a reasonably complete list of recent LO fits, both 
ones within the normal LO context and ones with modifications for better 
matching to event generators. In addition two older sets are 
included for backwards reference (most studies to date are based on 
CTEQ 5L). If you link to the 
LHAPDF 
library [Wha05] you get access to a much wider selection. 

            Warning 1: owing to previous problems with the behaviour 
of PDF's beyond the x and Q^2 boundaries of a set, 
you should only use LHAPDF version 5.3.0 or later. 

            Warning 2: the behaviour of the LHAPDF sets need not be 
identical with the implementation found in PYTHIA. Specifically we 
are aware of the following points that may influence a comparison. 

            (a) CTEQ 5L in PYTHIA is the parametrization, in LHAPDF the grid 
interpolation. 

            (b) MRST LO* and LO** in PYTHIA is based on an updated edition, 
where one makes use of the expanded MSTW grid format, while LHAPDF 
is based on the original smaller grid. 

            (c) The CTEQ 6 and CT09MC sets in PYTHIA are frozen at the 
boundaries of the grid, by recommendation of the authors, while 
LHAPDF also offers an option with a smooth extrapolation outside 
the grid boundaries. 
 


            PDF:useLHAPDF  On
Off
   (default = off)
            
If off then the choice of proton PDF is based on PDF:pSet 
above. If on then it is instead based on the choice of 
PDF:LHAPDFset and PDF:LHAPDFmember below. 

            Note: in order for this option to work you must have 
compiled PYTHIA appropriately and have set the LHAPATH 
environment variable to provide the data-files directory of your local 
LHAPDF installation. See the README file in the examples 
directory for further instructions. 
   
 


            PDF:LHAPDFset       (default = MRST2004FF4lo.LHgrid)
            
Name of proton PDF set from LHAPDF to be used. You have to choose 
from the 
 
list of available sets. Examples of some fairly recent ones 
(but still less recent than found above) would be 
cteq61.LHpdf, cteq61.LHgrid, cteq6l.LHpdf, cteq6ll.LHpdf, 
MRST2004nlo.LHpdf, MRST2004nlo.LHgrid, MRST2004nnlo.LHgrid and 
MRST2004FF3lo.LHgrid. If you pick a LHpdf set it will require some 
calculation the first time it is called. 

            Technical note: if you provide a name beginning with a 
slash (/) it is assumed you want to provide the full file path and then 
initPDFsetM(name) is called, else the correct path is assumed 
already set and initPDFsetByNameM(name) is called. 
   
 


            PDF:LHAPDFmember       (default = 0; minimum = 0)
            
Further choice of a specific member from the set picked above. Member 0 
should normally correspond to the central value, with higher values 
corresponding to different error PDF's somewhat off in different 
directions. You have to check from set to set which options are open. 

            Note: you can only use one member in a run, so if you 
want to sweep over many members you either have to do many separate 
runs or, as a simplification, save the 
";?>pdf weights at the hard scattering 
and do an offline reweighting of events. 
   
 


            PDF:extrapolateLHAPDF  On
Off
   (default = off)
            
Parton densities have a guaranteed range of validity in x 
and Q^2, and what should be done beyond that range usually is 
not explained by the authors of PDF sets. Nevertheless these boundaries 
very often are exceeded, e.g. minimum-bias studies at LHC may sample 
x values down to 10^-8, while many PDF sets stop 
already at 10^-5. The default behaviour is then that the 
PDF's are frozen at the boundary, i.e. xf(x,Q^2) is fixed at 
its value at x_min for all values x < x_min, 
and so on. This is a conservative approach. Alternatively, if you 
switch on extrapolation, then parametrizations will be extended beyond 
the boundaries, by some prescription. In some cases this will provide a 
more realistic answer, in others complete rubbish. Another problem is 
that some of the PDF-set codes will write a warning message anytime the 
limits are exceeded, thus swamping your output file. Therefore you should 
study a set seriously before you run it with this switch on. 
   
 

             
If you want to use PDF's not found in LHAPDF, or you want to interface 
LHAPDF another way, you have full freedom to use the more generic 
";?>interface options. 
 

            Parton densities for protons in the hard process
             
 
The above options provides a PDF set that will be used everywhere: 
for the hard process, the parton showers and the multiparton interactions 
alike. As already mentioned, therefore a change of PDF should be 
accompanied by a complete retuning of the whole MPI framework, 
and maybe more. There are cases where one may want to explore 
different PDF options for the hard process, but would not want to touch 
the rest. If several different sets are to be compared, a simple 
reweighting based on the ";?>originally 
used flavour, x, Q^2 and PDF values may offer the 
best route. The options in this section allow a choice of the PDF set 
for the hard process alone, while the choice made in the previous section 
would still be used for everything else. The hardest interaction 
of the minimum-bias process is part of the multiparton-interactions 
framework and so does not count as a hard process here. 
 

             
Of course it is inconsistent to use different PDF's in different parts 
of an event, but if the x and Q^2 ranges mainly accessed 
by the components are rather different then the contradiction would not be 
too glaring. Furthermore, since standard PDF's are one-particle-inclusive 
we anyway have to 'invent' our own PDF modifications to handle configurations 
where more than one parton is kicked out of the proton [Sjo04]. 
 

             
The PDF choices that can be made are the same as above, so we do not 
repeat the detailed discussion. 
 


            PDF:useHard  On
Off
   (default = off)
            
If on then select a separate PDF set for the hard process, using the 
variables below. If off then use the same PDF set for everything, 
as already chosen above. 
   
 


            PDF:pHardSet      (default = 2; minimum = 1; maximum = 16)
            
Parton densities to be used for proton beams (and, by implication, 
antiproton ones): 

            
1 : GRV 94L, LO alpha_s(M_Z) = 0.128  (out of date).
            
2 : CTEQ 5L, LO alpha_s(M_Z) = 0.127  (slightly out of date; many tunes are based on it).
            
3 : MRST LO* (2007),  NLO alpha_s(M_Z) = 0.12032.
            
4 : MRST LO** (2008),  NLO alpha_s(M_Z) = 0.11517.
            
5 : MSTW 2008 LO (central member),  LO alpha_s(M_Z) = 0.13939.
            
6 : MSTW 2008 NLO (central member),  LO alpha_s(M_Z) = 0.12018.
            
7 : MSTW 2008 NLO (central member),  LO alpha_s(M_Z) = 0.12018.
            
8 : MSTW 2008 NLO (central member),  LO alpha_s(M_Z) = 0.12018.
            
9 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180.
            
10 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180.
            
11 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180.
            
12 : CTEQ66.00 (NLO, central member),  NLO alpha_s(M_Z) = 0.1180.
            
13 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.130. 
            
14 : NNPDF2.3 QCD+QED LO alpha_s(M_Z) = 0.119. 
            
15 : NNPDF2.3 QCD+QED NLO alpha_s(M_Z) = 0.119. 
            
16 : NNPDF2.3 QCD+QED NNLO alpha_s(M_Z) = 0.119.  
            
 


            PDF:useHardLHAPDF  On
Off
   (default = off)
            
If off then the choice of proton PDF is based on hardpPDFset 
above. If on then it is instead based on the choice of 
hardLHAPDFset and hardLHAPDFmember below. 
Note that if you want to use LHAPDF here, and you also use LHAPDF 
for the "normal" PDF set, then LHAPDF must have been compiled so as to 
handle (at least) two concurrent sets, with the configure statement 
--with-max-num-pdfsets=2. 
   
 


            PDF:hardLHAPDFset       (default = MRST2004FF4lo.LHgrid)
            
Name of proton PDF set from LHAPDF to be used. 
   
 


            PDF:hardLHAPDFmember       (default = 0; minimum = 0)
            
Further choice of a specific member from the set picked above. 
   
 

             
Note that there is no separate equivalent of the 
PDF:extrapolateLHAPDF flag specifically for the hard 
PDF. Since LHAPDF only has one global flag for extrapolation or not, 
the choice for the normal PDF's also applies to the hard ones. 
 

            Parton densities for pions
             
 
The parton densities of the pion are considerably less well known than 
those of the proton. There are only rather few sets on the market, 
and none particularly recent. Only one comes built-in, but others can 
be accessed from LHAPDF. Input parametrizations are for the pi+. 
From this the pi- is obtained by charge conjugation and the 
pi0 from averaging (half the pions have d dbar 
valence quark content, half u ubar. 
 

             
Much of the switches are taken over from the proton case, with obvious 
modifications; therefore the description is briefer. Currently we have 
not seen the need to allow separate parton densities for hard processes. 
When using LHAPDF the PDF:extrapolateLHAPDF switch of the 
proton also applies to pions. 
  


            PDF:piSet      (default = 1; minimum = 1; maximum = 1)
            
Internal parton densities that can be used for pion beams, currently with 
only one choice. 

            
1 : 
            
 


            PDF:piUseLHAPDF  On
Off
   (default = off)
            
If off then the choice of proton PDF is based on PDF:piSet 
above. If on then it is instead based on the choice of 
PDF:piLHAPDFset and PDF:piLHAPDFmember below. 
   
 


            PDF:piLHAPDFset       (default = OWPI.LHgrid)
            
Name of pion PDF set from LHAPDF to be used. You have to choose from the 
 
list of available sets. 
   
 


            PDF:piLHAPDFmember       (default = 0; minimum = 0)
            
Further choice of a specific member from the set picked above. 
   
 

            Parton densities for Pomerons
             
 
The Pomeron is introduced in the description of diffractive events, 
i.e. a diffractive system is viewed as a Pomeron-proton collision at a 
reduced CM energy. Here the PDF's are even less well known. 
Most experimental parametrizations are NLO, which makes them less 
well suited for Monte Carlo applications. Furthermore note that 
the momentum sum is arbitrarily normalized to a non-unity value. 
 


            PDF:PomSet      (default = 6; minimum = 1; maximum = 6)
            
Parton densities that can be used for Pomeron beams. 

            
1 : Q^2-independent parametrizations  xf(x) = N_ab x^a (1 - x)^b, where N_ab ensures  unit momentum sum. The a and b parameters can be  set separately for the gluon and the quark distributions. The  momentum fraction of gluons and quarks can be freely mixed, and  production of s quarks can be suppressed relative to  that of d and u ones, with antiquarks as likely  as quarks. See further below how to set the six parameters of this  approach.  
            
2 : pi0 distributions, as specified in the  section above.  
            
3 : the H1 2006 Fit A NLO Q^2-dependent  parametrization, based on a tune to their data H1P06,  rescaled by the factor PomRescale below.  
            
4 : the H1 2006 Fit B NLO Q^2-dependent  parametrization, based on a tune to their data H1P06,  rescaled by the factor PomRescale below.  
            
5 : the H1 2007 Jets NLO Q^2-dependent  parametrization, based on a tune to their data H1P07,  rescaled by the factor PomRescale below.  
            
6 : the H1 2006 Fit B LO Q^2-dependent  parametrization, based on a tune to their data H1P06,  rescaled by the factor PomRescale below.  
            
 


            PDF:PomGluonA      (default = 0.; minimum = -0.5; maximum = 2.)
            
the parameter a in the ansatz xg(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 


            PDF:PomGluonB      (default = 3.; minimum = 0.; maximum = 10.)
            
the parameter b in the ansatz xg(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 


            PDF:PomQuarkA      (default = 0.; minimum = -0.5; maximum = 2.)
            
the parameter a in the ansatz xq(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 


            PDF:PomQuarkB      (default = 3.; minimum = 0.; maximum = 10.)
            
the parameter b in the ansatz xq(x) = N_ab x^a (1 - x)^b 
for option 1 above. 
   
 


            PDF:PomQuarkFrac      (default = 0.2; minimum = 0.; maximum = 1.)
            
the fraction of the Pomeron momentum carried by quarks 
for option 1 above, with the rest carried by gluons. 
   
 


            PDF:PomStrangeSupp      (default = 0.5; minimum = 0.; maximum = 1.)
            
the suppression of the s quark density relative to that of the 
d and u ones for option 1 above. 
   
 


            PDF:PomRescale      (default = 1.0; minimum = 0.5; maximum = 5.0)
            
Rescale the four H1 fits above by this uniform factor, e.g. to bring 
up their momentum sum to around unity. By default all three have 
a momentum sum of order 0.5, suggesting that a factor around 2.0 
should be used. You can use examples/main51.cc to get 
a more precise value. Note that also other parameters in the 
";?>diffraction framework may need to 
be retuned when this parameter is changed. 
   
 

            Parton densities for leptons
             
 
For electrons/muons/taus there is no need to choose between different 
parametrizations, since only one implementation is available, and 
should be rather uncontroversial (apart from some technical details). 
However, insofar as e.g. e^+ e^- data often are corrected 
back to a world without any initial-state photon radiation, it is 
useful to have a corresponding option available here. 
 


            PDF:lepton  On
Off
   (default = on)
            
Use parton densities for lepton beams or not. If off the colliding 
leptons carry the full beam energy, if on part of the energy is 
radiated away by initial-state photons. In the latter case the 
initial-state showers will generate the angles and energies of the 
set of photons that go with the collision. In addition one collinear 
photon per beam carries any leftover amount of energy not described 
by shower emissions. If the initial-state showers are switched off 
these collinear photons will carry the full radiated energy. 
   
 

             
Neutrinos are always taken pointlike. Do note that the phase space 
selection machinery currently does not allow one resolved and one 
unresolved beam. For lepton-neutrino collisions to work you must 
therefore set PDF:lepton = off. 
 

            Incoming parton selection
             
 
There is one useful degree of freedom to restrict the set of incoming 
quark flavours for hard processes. It does not change the PDF's as such, 
only which quarks are allowed to contribute to the hard-process cross 
sections. Note that separate but similarly named modes are available 
for multiparton interactions and spacelike showers. 
 


            PDFinProcess:nQuarkIn       (default = 5; minimum = 0; maximum = 5)
            
Number of allowed incoming quark flavours in the beams; a change 
to 4 would thus exclude b and bbar as incoming 
partons, etc. 
   
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/ProgramMethods.php0000644000175000017500000044120312357553536017302 0ustar  sunsun

Program Methods






            Program Methods
            

This is an alphabetical index of all methods that are documented elsewhere
on these pages, beginning with the few methods that do not belong to a class.
Many of them are only intended for experts, while undocumented ones are only for code authors.

            

            


            
Return type
Method name
Documentation page

            


            
 
AlpgenHooks(...)
Alpgen Event Interface

            


            
friend double
cosphi(...)
Four-Vectors

            


            
friend double
cosphi(...)
Four-Vectors

            


            
friend double
costheta(...)
Four-Vectors

            


            
friend double
cross3(...)
Four-Vectors

            


            
friend double
dot3(...)
Four-Vectors

            


            
PDF*
getPDFPtr(...)
Program Flow

            


            
bool
initAfterBeams()
Alpgen Event Interface

            


            
friend double
m(...)
Four-Vectors

            


            
double
m(...)
Particle Properties

            


            
friend double
m2(...)
Four-Vectors

            


            
double
m2(...)
Particle Properties

            


            
friend ostream&
operator<<(...)
Four-Vectors

            


            
friend ostream&
operator<<(...)
Four-Vectors

            


            
friend Vec4
operator*(...)
Four-Vectors

            


            
friend Vec4
operator*(...)
Four-Vectors

            


            
friend double
operator*(...)
Four-Vectors

            


            
friend Hist
operator*(...)
Histograms

            


            
friend Hist
operator*(...)
Histograms

            


            
friend Hist
operator*(...)
Histograms

            


            
friend Vec4
operator+(...)
Four-Vectors

            


            
friend Hist
operator+(...)
Histograms

            


            
friend Hist
operator+(...)
Histograms

            


            
friend Hist
operator+(...)
Histograms

            


            
friend Vec4
operator-(...)
Four-Vectors

            


            
friend Hist
operator-(...)
Histograms

            


            
friend Hist
operator-(...)
Histograms

            


            
friend Hist
operator-(...)
Histograms

            


            
friend Vec4
operator/(...)
Four-Vectors

            


            
friend Hist
operator/(...)
Histograms

            


            
friend Hist
operator/(...)
Histograms

            


            
friend Hist
operator/(...)
Histograms

            


            
friend ostream&
operator<<(...)
Histograms

            


            
ParticleDataEntry&
particleDataEntry()
Particle Properties

            


            
friend double
phi(...)
Four-Vectors

            


            
friend double
phi(...)
Four-Vectors

            


            
friend double
REtaPhi(...)
Four-Vectors

            


            
friend double
RRapPhi(...)
Four-Vectors

            


            
void
setResonancePtr(...)
Particle Data Scheme

            


            
friend void
table(...)
Histograms

            


            
friend void
table(...)
Histograms

            


            
friend double
theta(...)
Four-Vectors

            


            
 
AlpgenPar::AlpgenPar(...)
Alpgen Event Interface

            


            
double
AlpgenPar::getParam(...)
Alpgen Event Interface

            


            
int
AlpgenPar::getParamAsInt(...)
Alpgen Event Interface

            


            
bool
AlpgenPar::haveParam(...)
Alpgen Event Interface

            


            
bool
AlpgenPar::parse(...)
Alpgen Event Interface

            


            
 
BeamShape::BeamShape()
Beam Shape

            


            
Vec4
BeamShape::deltaPA()
Beam Shape

            


            
Vec4
BeamShape::deltaPB()
Beam Shape

            


            
virtual void
BeamShape::init(...)
Beam Shape

            


            
virtual void
BeamShape::pick()
Beam Shape

            


            
Vec4
BeamShape::vertex()
Beam Shape

            


            
virtual
BeamShape::~BeamShape()
Beam Shape

            


            
bool
CellJet::analyze(...)
Event Analysis

            


            
 
CellJet::CellJet(...)
Event Analysis

            


            
double
CellJet::eT(...)
Event Analysis

            


            
double
CellJet::etaCenter(...)
Event Analysis

            


            
double
CellJet::etaWeighted(...)
Event Analysis

            


            
void
CellJet::list()
Event Analysis

            


            
double
CellJet::m(...)
Event Analysis

            


            
int
CellJet::multiplicity(...)
Event Analysis

            


            
int
CellJet::nError()
Event Analysis

            


            
double
CellJet::phiCenter(...)
Event Analysis

            


            
double
CellJet::phiWeighted(...)
Event Analysis

            


            
Vec4
CellJet::pMassive(...)
Event Analysis

            


            
Vec4
CellJet::pMassless(...)
Event Analysis

            


            
int
CellJet::size()
Event Analysis

            


            
 
ClusterJet::analyze(...)
Event Analysis

            


            
 
ClusterJet::ClusterJet(...)
Event Analysis

            


            
double
ClusterJet::distance(...)
Event Analysis

            


            
int
ClusterJet::distanceSize()
Event Analysis

            


            
int
ClusterJet::jetAssignment(...)
Event Analysis

            


            
void
ClusterJet::list(...)
Event Analysis

            


            
int
ClusterJet::mult(...)
Event Analysis

            


            
int
ClusterJet::nError()
Event Analysis

            


            
Vec4
ClusterJet::p(...)
Event Analysis

            


            
int
ClusterJet::size()
Event Analysis

            


            
double
CoupSM::af(...)
Standard Model Parameters

            


            
double
CoupSM::af2(...)
Standard Model Parameters

            


            
double
CoupSM::alphaEM(...)
Standard Model Parameters

            


            
double
CoupSM::alphaS(...)
Standard Model Parameters

            


            
double
CoupSM::alphaS1Ord(...)
Standard Model Parameters

            


            
double
CoupSM::alphaS2OrdCorr(...)
Standard Model Parameters

            


            
double
CoupSM::cos2thetaW()
Standard Model Parameters

            


            
 
CoupSM::CoupSM()
Standard Model Parameters

            


            
double
CoupSM::ef(...)
Standard Model Parameters

            


            
double
CoupSM::ef2(...)
Standard Model Parameters

            


            
double
CoupSM::efvf(...)
Standard Model Parameters

            


            
double
CoupSM::GF()
Standard Model Parameters

            


            
void
CoupSM::init(...)
Standard Model Parameters

            


            
double
CoupSM::Lambda3()
Standard Model Parameters

            


            
double
CoupSM::Lambda4()
Standard Model Parameters

            


            
double
CoupSM::Lambda5()
Standard Model Parameters

            


            
double
CoupSM::lf(...)
Standard Model Parameters

            


            
double
CoupSM::rf(...)
Standard Model Parameters

            


            
double
CoupSM::sin2thetaW()
Standard Model Parameters

            


            
double
CoupSM::sin2thetaWbar()
Standard Model Parameters

            


            
double
CoupSM::t3f(...)
Standard Model Parameters

            


            
double
CoupSM::V2CKMgen(...)
Standard Model Parameters

            


            
double
CoupSM::V2CKMid(...)
Standard Model Parameters

            


            
int
CoupSM::V2CKMpick(...)
Standard Model Parameters

            


            
double
CoupSM::V2CKMsum(...)
Standard Model Parameters

            


            
double
CoupSM::VCKMgen(...)
Standard Model Parameters

            


            
double
CoupSM::VCKMid(...)
Standard Model Parameters

            


            
double
CoupSM::vf(...)
Standard Model Parameters

            


            
double
CoupSM::vf2(...)
Standard Model Parameters

            


            
double
CoupSM::vf2af2(...)
Standard Model Parameters

            


            
double
DecayChannel::bRatio()
Particle Data Scheme

            


            
void
DecayChannel::bRatio(...)
Particle Data Scheme

            


            
bool
DecayChannel::contains(...)
Particle Data Scheme

            


            
bool
DecayChannel::contains(...)
Particle Data Scheme

            


            
bool
DecayChannel::contains(...)
Particle Data Scheme

            


            
double
DecayChannel::currentBR()
Particle Data Scheme

            


            
void
DecayChannel::currentBR(...)
Particle Data Scheme

            


            
 
DecayChannel::DecayChannel(...)
Particle Data Scheme

            


            
bool
DecayChannel::hasChanged()
Particle Data Scheme

            


            
int
DecayChannel::meMode()
Particle Data Scheme

            


            
void
DecayChannel::meMode(...)
Particle Data Scheme

            


            
int
DecayChannel::multiplicity()
Particle Data Scheme

            


            
void
DecayChannel::multiplicity(...)
Particle Data Scheme

            


            
int
DecayChannel::onMode()
Particle Data Scheme

            


            
void
DecayChannel::onMode(...)
Particle Data Scheme

            


            
double
DecayChannel::onShellWidth()
Particle Data Scheme

            


            
void
DecayChannel::onShellWidth(...)
Particle Data Scheme

            


            
void
DecayChannel::onShellWidthFactor(...)
Particle Data Scheme

            


            
void
DecayChannel::openSec(...)
Particle Data Scheme

            


            
double
DecayChannel::openSec(...)
Particle Data Scheme

            


            
void
DecayChannel::product(...)
Particle Data Scheme

            


            
int
DecayChannel::product(...)
Particle Data Scheme

            


            
void
DecayChannel::rescaleBR(...)
Particle Data Scheme

            


            
void
DecayChannel::setHasChanged(...)
Particle Data Scheme

            


            
virtual bool
DecayHandler::decay(...)
External Decays

            


            
int
Event::append(...)
Event Record

            


            
int
Event::append(...)
Event Record

            


            
int
Event::append(...)
Event Record

            


            
int
Event::append(...)
Event Record

            


            
int
Event::append(...)
Event Record

            


            
Particle&
Event::at(...)
Event Record

            


            
Particle&
Event::back()
Event Record

            


            
void
Event::bst(...)
Event Record

            


            
void
Event::bst(...)
Event Record

            


            
void
Event::bst(...)
Event Record

            


            
void
Event::clear()
Event Record

            


            
int
Event::copy(...)
Event Record

            


            
vector<int>
Event::daughterList(...)
Event Record

            


            
 
Event::Event(...)
Event Record

            


            
Particle&
Event::front()
Event Record

            


            
int
Event::iBotCopy(...)
Event Record

            


            
int
Event::iBotCopyId(...)
Event Record

            


            
void
Event::init(...)
Event Record

            


            
void
Event::initColTag(...)
Event Record

            


            
bool
Event::isAncestor(...)
Event Record

            


            
int
Event::iTopCopy(...)
Event Record

            


            
int
Event::iTopCopyId(...)
Event Record

            


            
int
Event::lastColTag()
Event Record

            


            
void
Event::list()
Event Record

            


            
void
Event::list(...)
Event Record

            


            
void
Event::list(...)
Event Record

            


            
void
Event::list(...)
Event Record

            


            
vector<int>
Event::motherList(...)
Event Record

            


            
int
Event::nextColTag()
Event Record

            


            
Event&
Event::operator+=(...)
Event Record

            


            
Event&
Event::operator=(...)
Event Record

            


            
Particle&
Event::operator[](...)
Event Record

            


            
const Particle&
Event::operator[](...)
Event Record

            


            
void
Event::popBack(...)
Event Record

            


            
void
Event::remove(...)
Event Record

            


            
void
Event::reset()
Event Record

            


            
void
Event::restorePtrs()
Event Record

            


            
void
Event::rot(...)
Event Record

            


            
void
Event::rotbst(...)
Event Record

            


            
double
Event::scale()
Event Record

            


            
void
Event::scale(...)
Event Record

            


            
double
Event::scaleSecond()
Event Record

            


            
void
Event::scaleSecond(...)
Event Record

            


            
int
Event::setEvtPtr(...)
Event Record

            


            
vector<int>
Event::sisterList(...)
Event Record

            


            
vector<int>
Event::sisterListTopBot(...)
Event Record

            


            
int
Event::size()
Event Record

            


            
int
Event::statusHepMC(...)
Event Record

            


            
bool
Event::undoDecay(...)
Event Record

            


            
void
Hist::book(...)
Histograms

            


            
void
Hist::fill(...)
Histograms

            


            
double
Hist::getBinContent(...)
Histograms

            


            
int
Hist::getEntries()
Histograms

            


            
 
Hist::Hist()
Histograms

            


            
 
Hist::Hist(...)
Histograms

            


            
 
Hist::Hist(...)
Histograms

            


            
 
Hist::Hist(...)
Histograms

            


            
void
Hist::name(...)
Histograms

            


            
void
Hist::null()
Histograms

            


            
Hist&
Hist::operator*=(...)
Histograms

            


            
Hist&
Hist::operator*=(...)
Histograms

            


            
Hist&
Hist::operator*=(...)
Histograms

            


            
Hist&
Hist::operator+=(...)
Histograms

            


            
Hist&
Hist::operator+=(...)
Histograms

            


            
Hist&
Hist::operator-=(...)
Histograms

            


            
Hist&
Hist::operator-=(...)
Histograms

            


            
Hist&
Hist::operator/=(...)
Histograms

            


            
Hist&
Hist::operator=(...)
Histograms

            


            
bool
Hist::sameSize(...)
Histograms

            


            
void
Hist::table(...)
Histograms

            


            
void
Hist::table(...)
Histograms

            


            
void
Hist::takeLog(...)
Histograms

            


            
void
Hist::takeSqrt()
Histograms

            


            
double
Info::a0MPI()
Event Information

            


            
void
Info::addCounter(...)
Event Information

            


            
double
Info::alphaEM()
Event Information

            


            
double
Info::alphaS()
Event Information

            


            
bool
Info::atEndOfFile()
Event Information

            


            
double
Info::bMPI()
Event Information

            


            
int
Info::code()
Event Information

            


            
int
Info::codeMPI(...)
Event Information

            


            
vector<int>
Info::codesHard()
Event Information

            


            
int
Info::codeSub()
Event Information

            


            
double
Info::eA()
Event Information

            


            
double
Info::eB()
Event Information

            


            
double
Info::eCM()
Event Information

            


            
double
Info::eMPI(...)
Event Information

            


            
double
Info::enhanceMPI()
Event Information

            


            
int
Info::getCounter(...)
Event Information

            


            
bool
Info::hasHistory()
Event Information

            


            
void
Info::hasHistory(...)
Event Information

            


            
bool
Info::hasSub()
Event Information

            


            
string
Info::header(...)
Event Information

            


            
vector <string>
Info::headerKeys()
Event Information

            


            
int
Info::iAMPI(...)
Event Information

            


            
int
Info::iBMPI(...)
Event Information

            


            
int
Info::id1()
Event Information

            


            
int
Info::id1pdf()
Event Information

            


            
int
Info::id2()
Event Information

            


            
int
Info::id2pdf()
Event Information

            


            
int
Info::idA()
Event Information

            


            
int
Info::idB()
Event Information

            


            
bool
Info::isDiffractiveA()
Event Information

            


            
bool
Info::isDiffractiveB()
Event Information

            


            
bool
Info::isDiffractiveC()
Event Information

            


            
bool
Info::isLHA()
Event Information

            


            
bool
Info::isMinBias()
Event Information

            


            
bool
Info::isNonDiffractive()
Event Information

            


            
bool
Info::isResolved()
Event Information

            


            
bool
Info::isValence1()
Event Information

            


            
bool
Info::isValence2()
Event Information

            


            
int
Info::lhaStrategy()
Event Information

            


            
void
Info::list()
Event Information

            


            
double
Info::m3Hat()
Event Information

            


            
double
Info::m4Hat()
Event Information

            


            
double
Info::mA()
Event Information

            


            
double
Info::mB()
Event Information

            


            
double
Info::mergingWeight()
Event Information

            


            
double
Info::mergingWeightNLO()
Event Information

            


            
double
Info::mHat()
Event Information

            


            
long
Info::nAccepted(...)
Event Information

            


            
string
Info::name()
Event Information

            


            
string
Info::nameProc(...)
Event Information

            


            
string
Info::nameSub()
Event Information

            


            
int
Info::nFinal()
Event Information

            


            
int
Info::nFinalSub()
Event Information

            


            
int
Info::nFSRinProc()
Event Information

            


            
int
Info::nFSRinRes()
Event Information

            


            
int
Info::nISR()
Event Information

            


            
int
Info::nMPI()
Event Information

            


            
long
Info::nSelected(...)
Event Information

            


            
long
Info::nTried(...)
Event Information

            


            
double
Info::pdf1()
Event Information

            


            
double
Info::pdf2()
Event Information

            


            
double
Info::phiHat()
Event Information

            


            
double
Info::pT2Hat()
Event Information

            


            
double
Info::pT2NowISR()
Event Information

            


            
void
Info::pT2NowISR(...)
Event Information

            


            
double
Info::pTHat()
Event Information

            


            
double
Info::pTmaxFSR()
Event Information

            


            
double
Info::pTmaxISR()
Event Information

            


            
double
Info::pTmaxMPI()
Event Information

            


            
double
Info::pTMPI(...)
Event Information

            


            
double
Info::pTnow()
Event Information

            


            
double
Info::pzA()
Event Information

            


            
double
Info::pzB()
Event Information

            


            
double
Info::Q2Fac()
Event Information

            


            
double
Info::Q2Ren()
Event Information

            


            
double
Info::QFac()
Event Information

            


            
double
Info::QRen()
Event Information

            


            
double
Info::s()
Event Information

            


            
double
Info::scalup()
Event Information

            


            
void
Info::setCounter(...)
Event Information

            


            
void
Info::setHeader(...)
Event Information

            


            
double
Info::sHat()
Event Information

            


            
double
Info::sigmaErr(...)
Event Information

            


            
double
Info::sigmaGen(...)
Event Information

            


            
double
Info::tau()
Event Information

            


            
double
Info::tHat()
Event Information

            


            
double
Info::thetaHat()
Event Information

            


            
bool
Info::tooLowPTmin()
Event Information

            


            
double
Info::uHat()
Event Information

            


            
double
Info::weight()
Event Information

            


            
double
Info::weightSum()
Event Information

            


            
double
Info::x1()
Event Information

            


            
double
Info::x1pdf()
Event Information

            


            
double
Info::x2()
Event Information

            


            
double
Info::x2pdf()
Event Information

            


            
double
Info::y()
Event Information

            


            
double
Info::zNowISR()
Event Information

            


            
void
Info::zNowISR(...)
Event Information

            


            
void
LHAup::addParticle(...)
Les Houches Accord

            


            
void
LHAup::addProcess(...)
Les Houches Accord

            


            
double
LHAup::alphaQCD()
Les Houches Accord

            


            
double
LHAup::alphaQED()
Les Houches Accord

            


            
void
LHAup::closeFile(...)
Les Houches Accord

            


            
bool
LHAup::closeLHEF(...)
Les Houches Accord

            


            
int
LHAup::col1(...)
Les Houches Accord

            


            
int
LHAup::col2(...)
Les Houches Accord

            


            
double
LHAup::e(...)
Les Houches Accord

            


            
double
LHAup::eBeamA()
Les Houches Accord

            


            
double
LHAup::eBeamB()
Les Houches Accord

            


            
bool
LHAup::eventLHEF(...)
Les Houches Accord

            


            
bool
LHAup::fileFound()
Les Houches Accord

            


            
string
LHAup::getFileName()
Les Houches Accord

            


            
int
LHAup::id(...)
Les Houches Accord

            


            
int
LHAup::id1()
Les Houches Accord

            


            
int
LHAup::id1pdf()
Les Houches Accord

            


            
int
LHAup::id2()
Les Houches Accord

            


            
int
LHAup::id2pdf()
Les Houches Accord

            


            
int
LHAup::idBeamA()
Les Houches Accord

            


            
int
LHAup::idBeamB()
Les Houches Accord

            


            
int
LHAup::idProcess()
Les Houches Accord

            


            
int
LHAup::idProcess(...)
Les Houches Accord

            


            
bool
LHAup::initLHEF()
Les Houches Accord

            


            
 
LHAup::LHAup(...)
Les Houches Accord

            


            
void
LHAup::listEvent(...)
Les Houches Accord

            


            
void
LHAup::listInit(...)
Les Houches Accord

            


            
double
LHAup::m(...)
Les Houches Accord

            


            
int
LHAup::mother1(...)
Les Houches Accord

            


            
int
LHAup::mother2(...)
Les Houches Accord

            


            
bool
LHAup::newEventFile(...)
Les Houches Accord

            


            
istream*
LHAup::openFile(...)
Les Houches Accord

            


            
bool
LHAup::openLHEF(...)
Les Houches Accord

            


            
double
LHAup::pdf1()
Les Houches Accord

            


            
double
LHAup::pdf2()
Les Houches Accord

            


            
int
LHAup::pdfGroupBeamA()
Les Houches Accord

            


            
int
LHAup::pdfGroupBeamB()
Les Houches Accord

            


            
bool
LHAup::pdfIsSet()
Les Houches Accord

            


            
int
LHAup::pdfSetBeamA()
Les Houches Accord

            


            
int
LHAup::pdfSetBeamB()
Les Houches Accord

            


            
double
LHAup::px(...)
Les Houches Accord

            


            
double
LHAup::py(...)
Les Houches Accord

            


            
double
LHAup::pz(...)
Les Houches Accord

            


            
double
LHAup::scale()
Les Houches Accord

            


            
double
LHAup::scale(...)
Les Houches Accord

            


            
double
LHAup::scalePDF()
Les Houches Accord

            


            
void
LHAup::setBeamA(...)
Les Houches Accord

            


            
void
LHAup::setBeamB(...)
Les Houches Accord

            


            
virtual bool
LHAup::setEvent(...)
Les Houches Accord

            


            
void
LHAup::setIdX(...)
Les Houches Accord

            


            
void
LHAup::setInfoHeader(...)
Les Houches Accord

            


            
void
LHAup::setInfoHeader(...)
Les Houches Accord

            


            
virtual bool
LHAup::setInit()
Les Houches Accord

            


            
bool
LHAup::setInitLHEF(...)
Les Houches Accord

            


            
bool
LHAup::setNewEventLHEF(...)
Les Houches Accord

            


            
bool
LHAup::setOldEventLHEF()
Les Houches Accord

            


            
void
LHAup::setPdf(...)
Les Houches Accord

            


            
void
LHAup::setProcess(...)
Les Houches Accord

            


            
void
LHAup::setPtr(...)
Les Houches Accord

            


            
void
LHAup::setStrategy(...)
Les Houches Accord

            


            
void
LHAup::setXErr(...)
Les Houches Accord

            


            
void
LHAup::setXMax(...)
Les Houches Accord

            


            
void
LHAup::setXSec(...)
Les Houches Accord

            


            
int
LHAup::sizePart()
Les Houches Accord

            


            
int
LHAup::sizeProc()
Les Houches Accord

            


            
virtual bool
LHAup::skipEvent(...)
Les Houches Accord

            


            
double
LHAup::spin(...)
Les Houches Accord

            


            
int
LHAup::status(...)
Les Houches Accord

            


            
int
LHAup::strategy()
Les Houches Accord

            


            
double
LHAup::tau(...)
Les Houches Accord

            


            
double
LHAup::weight()
Les Houches Accord

            


            
double
LHAup::x1()
Les Houches Accord

            


            
double
LHAup::x1pdf()
Les Houches Accord

            


            
double
LHAup::x2()
Les Houches Accord

            


            
double
LHAup::x2pdf()
Les Houches Accord

            


            
double
LHAup::xErr(...)
Les Houches Accord

            


            
double
LHAup::xErrSum()
Les Houches Accord

            


            
double
LHAup::xMax(...)
Les Houches Accord

            


            
double
LHAup::xSec(...)
Les Houches Accord

            


            
double
LHAup::xSecSum()
Les Houches Accord

            


            
virtual
LHAup::~LHAup()
Les Houches Accord

            


            
bool
LHAupAlpgen::addResonances()
Alpgen Event Interface

            


            
 
LHAupAlpgen::LHAupAlpgen(...)
Alpgen Event Interface

            


            
bool
LHAupAlpgen::rescaleMomenta()
Alpgen Event Interface

            


            
void
LHAupLHEF::closeAllFiles()
Les Houches Accord

            


            
virtual bool
MergingHooks::canCutOnRecState()
C K K W L Merging

            


            
virtual double
MergingHooks::dampenIfFailCuts(...)
C K K W L Merging

            


            
virtual bool
MergingHooks::doCutOnRecState(...)
C K K W L Merging

            


            
virtual double
MergingHooks::hardProcessME(...)
C K K W L Merging

            


            
 
MergingHooks::MergingHooks()
C K K W L Merging

            


            
int
MergingHooks::nHardInLeptons()
C K K W L Merging

            


            
int
MergingHooks::nHardInPartons()
C K K W L Merging

            


            
int
MergingHooks::nHardOutLeptons()
C K K W L Merging

            


            
int
MergingHooks::nHardOutPartons()
C K K W L Merging

            


            
int
MergingHooks::nMaxJets()
C K K W L Merging

            


            
int
MergingHooks::nResInCurrent()
C K K W L Merging

            


            
double
MergingHooks::tms()
C K K W L Merging

            


            
virtual double
MergingHooks::tmsDefinition(...)
C K K W L Merging

            


            
virtual
MergingHooks::~MergingHooks()
C K K W L Merging

            


            
int
Particle::acol()
Particle Properties

            


            
void
Particle::bst(...)
Particle Properties

            


            
void
Particle::bst(...)
Particle Properties

            


            
void
Particle::bst(...)
Particle Properties

            


            
void
Particle::bst(...)
Particle Properties

            


            
void
Particle::bstback(...)
Particle Properties

            


            
void
Particle::bstback(...)
Particle Properties

            


            
bool
Particle::canDecay()
Particle Properties

            


            
double
Particle::charge()
Particle Properties

            


            
int
Particle::chargeType()
Particle Properties

            


            
int
Particle::col()
Particle Properties

            


            
void
Particle::cols(...)
Particle Properties

            


            
int
Particle::colType()
Particle Properties

            


            
double
Particle::constituentMass()
Particle Properties

            


            
int
Particle::daughter1()
Particle Properties

            


            
int
Particle::daughter2()
Particle Properties

            


            
void
Particle::daughters(...)
Particle Properties

            


            
bool
Particle::doExternalDecay()
Particle Properties

            


            
double
Particle::e()
Particle Properties

            


            
double
Particle::eCalc()
Particle Properties

            


            
double
Particle::eT()
Particle Properties

            


            
double
Particle::eT2()
Particle Properties

            


            
double
Particle::eta()
Particle Properties

            


            
bool
Particle::hasVertex()
Particle Properties

            


            
int
Particle::iBotCopy()
Particle Properties

            


            
int
Particle::iBotCopyId()
Particle Properties

            


            
int
Particle::id()
Particle Properties

            


            
int
Particle::idAbs()
Particle Properties

            


            
void
Particle::index()
Particle Properties

            


            
bool
Particle::isAncestor(...)
Particle Properties

            


            
bool
Particle::isCharged()
Particle Properties

            


            
bool
Particle::isDiquark()
Particle Properties

            


            
bool
Particle::isFinal()
Particle Properties

            


            
bool
Particle::isGluon()
Particle Properties

            


            
bool
Particle::isHadron()
Particle Properties

            


            
bool
Particle::isLepton()
Particle Properties

            


            
bool
Particle::isNeutral()
Particle Properties

            


            
bool
Particle::isParton()
Particle Properties

            


            
bool
Particle::isQuark()
Particle Properties

            


            
bool
Particle::isRescatteredIncoming()
Particle Properties

            


            
bool
Particle::isResonance()
Particle Properties

            


            
bool
Particle::isVisible()
Particle Properties

            


            
int
Particle::iTopCopy()
Particle Properties

            


            
int
Particle::iTopCopyId()
Particle Properties

            


            
double
Particle::m()
Particle Properties

            


            
double
Particle::m0()
Particle Properties

            


            
double
Particle::m2()
Particle Properties

            


            
double
Particle::m2Calc()
Particle Properties

            


            
bool
Particle::mayDecay()
Particle Properties

            


            
double
Particle::mCalc()
Particle Properties

            


            
double
Particle::mMax()
Particle Properties

            


            
double
Particle::mMin()
Particle Properties

            


            
int
Particle::mother1()
Particle Properties

            


            
int
Particle::mother2()
Particle Properties

            


            
void
Particle::mothers(...)
Particle Properties

            


            
double
Particle::mSel()
Particle Properties

            


            
double
Particle::mT()
Particle Properties

            


            
double
Particle::mT2()
Particle Properties

            


            
double
Particle::mWidth()
Particle Properties

            


            
string
Particle::name()
Particle Properties

            


            
string
Particle::nameWithStatus()
Particle Properties

            


            
void
Particle::offsetCol(...)
Particle Properties

            


            
void
Particle::offsetHistory(...))
Particle Properties

            


            
Particle&
Particle::operator=(...)
Particle Properties

            


            
Vec4
Particle::p()
Particle Properties

            


            
void
Particle::p(...)
Particle Properties

            


            
double
Particle::pAbs()
Particle Properties

            


            
double
Particle::pAbs2()
Particle Properties

            


            
 
Particle::Particle()
Particle Properties

            


            
 
Particle::Particle(...)
Particle Properties

            


            
 
Particle::Particle(...)
Particle Properties

            


            
 
Particle::Particle(...)
Particle Properties

            


            
double
Particle::phi()
Particle Properties

            


            
double
Particle::pNeg()
Particle Properties

            


            
double
Particle::pol()
Particle Properties

            


            
double
Particle::pPos()
Particle Properties

            


            
double
Particle::pT()
Particle Properties

            


            
double
Particle::pT2()
Particle Properties

            


            
double
Particle::px()
Particle Properties

            


            
double
Particle::py()
Particle Properties

            


            
double
Particle::pz()
Particle Properties

            


            
void
Particle::rescale3(...)
Particle Properties

            


            
void
Particle::rescale4(...)
Particle Properties

            


            
void
Particle::rescale5(...)
Particle Properties

            


            
void
Particle::rot(...)
Particle Properties

            


            
void
Particle::rotbst(...)
Particle Properties

            


            
double
Particle::scale()
Particle Properties

            


            
void
Particle::setEvtPtr(...)
Particle Properties

            


            
void
Particle::setPDEPtr(...)
Particle Properties

            


            
vector<int>
Particle::sisterList(...)
Particle Properties

            


            
int
Particle::spinType()
Particle Properties

            


            
int
Particle::status()
Particle Properties

            


            
int
Particle::statusAbs()
Particle Properties

            


            
void
Particle::statusCode(...)
Particle Properties

            


            
int
Particle::statusHepMC()
Particle Properties

            


            
void
Particle::statusNeg()
Particle Properties

            


            
void
Particle::statusPos()
Particle Properties

            


            
double
Particle::tau()
Particle Properties

            


            
double
Particle::tau0()
Particle Properties

            


            
double
Particle::tDec()
Particle Properties

            


            
double
Particle::theta()
Particle Properties

            


            
double
Particle::thetaXZ()
Particle Properties

            


            
double
Particle::tProd()
Particle Properties

            


            
bool
Particle::undoDecay()
Particle Properties

            


            
Vec4
Particle::vDec()
Particle Properties

            


            
Vec4
Particle::vProd()
Particle Properties

            


            
void
Particle::vProd(...)
Particle Properties

            


            
double
Particle::xDec()
Particle Properties

            


            
double
Particle::xProd()
Particle Properties

            


            
double
Particle::y()
Particle Properties

            


            
double
Particle::yDec()
Particle Properties

            


            
double
Particle::yProd()
Particle Properties

            


            
double
Particle::zDec()
Particle Properties

            


            
double
Particle::zProd()
Particle Properties

            


            
void
ParticleData::addParticle(...)
Particle Data Scheme

            


            
void
ParticleData::addParticle(...)
Particle Data Scheme

            


            
void
ParticleData::antiName(...)
Particle Data Scheme

            


            
int
ParticleData::baryonNumberType(...)
Particle Data Scheme

            


            
bool
ParticleData::canDecay(...)
Particle Data Scheme

            


            
double
ParticleData::charge(...)
Particle Data Scheme

            


            
void
ParticleData::chargeType(...)
Particle Data Scheme

            


            
int
ParticleData::chargeType(...)
Particle Data Scheme

            


            
void
ParticleData::checkTable(...)
Particle Data Scheme

            


            
void
ParticleData::checkTable(...)
Particle Data Scheme

            


            
void
ParticleData::colType(...)
Particle Data Scheme

            


            
int
ParticleData::colType(...)
Particle Data Scheme

            


            
double
ParticleData::constituentMass(...)
Particle Data Scheme

            


            
bool
ParticleData::doExternalDecay(...)
Particle Data Scheme

            


            
void
ParticleData::doExternalDecays(...)
Particle Data Scheme

            


            
void
ParticleData::doForceWidth(...)
Particle Data Scheme

            


            
bool
ParticleData::doForceWidth(...)
Particle Data Scheme

            


            
bool
ParticleData::hasAnti(...)
Particle Data Scheme

            


            
void
ParticleData::hasChanged(...)
Particle Data Scheme

            


            
bool
ParticleData::hasChanged(...)
Particle Data Scheme

            


            
int
ParticleData::heaviestQuark(...)
Particle Data Scheme

            


            
bool
ParticleData::init(...)
Particle Data Scheme

            


            
void
ParticleData::initPtr(...)
Particle Data Scheme

            


            
void
ParticleData::initWidths(...)
Particle Data Scheme

            


            
bool
ParticleData::isBaryon(...)
Particle Data Scheme

            


            
bool
ParticleData::isDiquark(...)
Particle Data Scheme

            


            
bool
ParticleData::isGluon(...)
Particle Data Scheme

            


            
bool
ParticleData::isHadron(...)
Particle Data Scheme

            


            
bool
ParticleData::isLepton(...)
Particle Data Scheme

            


            
bool
ParticleData::isMeson(...)
Particle Data Scheme

            


            
bool
ParticleData::isOctetHadron(...)
Particle Data Scheme

            


            
bool
ParticleData::isParticle(...)
Particle Data Scheme

            


            
bool
ParticleData::isParton()
Particle Data Scheme

            


            
bool
ParticleData::isQuark(...)
Particle Data Scheme

            


            
void
ParticleData::isResonance(...)
Particle Data Scheme

            


            
bool
ParticleData::isResonance(...)
Particle Data Scheme

            


            
void
ParticleData::isVisible(...)
Particle Data Scheme

            


            
bool
ParticleData::isVisible(...)
Particle Data Scheme

            


            
void
ParticleData::list(...)
Particle Data Scheme

            


            
void
ParticleData::list(...)
Particle Data Scheme

            


            
void
ParticleData::list(...)
Particle Data Scheme

            


            
void
ParticleData::listAll(...)
Particle Data Scheme

            


            
void
ParticleData::listChanged(...)
Particle Data Scheme

            


            
void
ParticleData::listChangedAndRes(...)
Particle Data Scheme

            


            
void
ParticleData::listFF(...)
Particle Data Scheme

            


            
void
ParticleData::listXML(...)
Particle Data Scheme

            


            
void
ParticleData::m0(...)
Particle Data Scheme

            


            
double
ParticleData::m0(...)
Particle Data Scheme

            


            
double
ParticleData::m0Max(...)
Particle Data Scheme

            


            
double
ParticleData::m0Min(...)
Particle Data Scheme

            


            
void
ParticleData::mayDecay(...)
Particle Data Scheme

            


            
bool
ParticleData::mayDecay(...)
Particle Data Scheme

            


            
void
ParticleData::mMax(...)
Particle Data Scheme

            


            
double
ParticleData::mMax(...)
Particle Data Scheme

            


            
void
ParticleData::mMin(...)
Particle Data Scheme

            


            
double
ParticleData::mMin(...)
Particle Data Scheme

            


            
double
ParticleData::mRun(...)
Particle Data Scheme

            


            
double
ParticleData::mSel(...)
Particle Data Scheme

            


            
void
ParticleData::mWidth(...)
Particle Data Scheme

            


            
double
ParticleData::mWidth(...)
Particle Data Scheme

            


            
void
ParticleData::name(...)
Particle Data Scheme

            


            
string
ParticleData::name(...)
Particle Data Scheme

            


            
void
ParticleData::names(...)
Particle Data Scheme

            


            
int
ParticleData::nextId(...)
Particle Data Scheme

            


            
 
ParticleData::ParticleData()
Particle Data Scheme

            


            
ParticleDataEntry*
ParticleData::particleDataEntryPtr(...)
Particle Data Scheme

            


            
bool
ParticleData::readFF(...)
Particle Data Scheme

            


            
bool
ParticleData::readString(...)
Particle Data Scheme

            


            
bool
ParticleData::readXML(...)
Particle Data Scheme

            


            
bool
ParticleData::reInit(...)
Particle Data Scheme

            


            
void
ParticleData::rescaleBR(...)
Particle Data Scheme

            


            
void
ParticleData::resInit(...)
Particle Data Scheme

            


            
double
ParticleData::resOpenFrac(...)
Particle Data Scheme

            


            
double
ParticleData::resWidth(...)
Particle Data Scheme

            


            
double
ParticleData::resWidthChan(...)
Particle Data Scheme

            


            
double
ParticleData::resWidthOpen(...)
Particle Data Scheme

            


            
double
ParticleData::resWidthRescaleFactor(...)
Particle Data Scheme

            


            
double
ParticleData::resWidthStore(...)
Particle Data Scheme

            


            
void
ParticleData::setAll(...)
Particle Data Scheme

            


            
void
ParticleData::spinType(...)
Particle Data Scheme

            


            
int
ParticleData::spinType(...)
Particle Data Scheme

            


            
void
ParticleData::tau0(...)
Particle Data Scheme

            


            
double
ParticleData::tau0(...)
Particle Data Scheme

            


            
bool
ParticleData::useBreitWigner(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::addChannel(...)
Particle Data Scheme

            


            
int
ParticleDataEntry::baryonNumberType(...)
Particle Data Scheme

            


            
bool
ParticleDataEntry::canDecay(...)
Particle Data Scheme

            


            
DecayChannel&
ParticleDataEntry::channel(...)
Particle Data Scheme

            


            
const DecayChannel&
ParticleDataEntry::channel(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::charge(...)
Particle Data Scheme

            


            
int
ParticleDataEntry::chargeType(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::clearChannels()
Particle Data Scheme

            


            
int
ParticleDataEntry::colType(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::constituentMass()
Particle Data Scheme

            


            
bool
ParticleDataEntry::doExternalDecay()
Particle Data Scheme

            


            
bool
ParticleDataEntry::doForceWidth()
Particle Data Scheme

            


            
ResonanceWidths*
ParticleDataEntry::getResonancePtr()
Particle Data Scheme

            


            
bool
ParticleDataEntry::hasAnti()
Particle Data Scheme

            


            
void
ParticleDataEntry::hasChanged(...)
Particle Data Scheme

            


            
int
ParticleDataEntry::heaviestQuark(...)
Particle Data Scheme

            


            
int
ParticleDataEntry::id()
Particle Data Scheme

            


            
void
ParticleDataEntry::initBWmass()
Particle Data Scheme

            


            
void
ParticleDataEntry::initPtr(...)
Particle Data Scheme

            


            
bool
ParticleDataEntry::isBaryon()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isDiquark()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isGluon()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isHadron()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isLepton()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isMeson()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isOctetHadron()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isParton()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isQuark()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isResonance()
Particle Data Scheme

            


            
bool
ParticleDataEntry::isVisible()
Particle Data Scheme

            


            
double
ParticleDataEntry::m0()
Particle Data Scheme

            


            
double
ParticleDataEntry::m0Max()
Particle Data Scheme

            


            
double
ParticleDataEntry::m0Min()
Particle Data Scheme

            


            
bool
ParticleDataEntry::mayDecay()
Particle Data Scheme

            


            
double
ParticleDataEntry::mMax()
Particle Data Scheme

            


            
double
ParticleDataEntry::mMin()
Particle Data Scheme

            


            
double
ParticleDataEntry::mRun(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::mSel()
Particle Data Scheme

            


            
double
ParticleDataEntry::mWidth()
Particle Data Scheme

            


            
string
ParticleDataEntry::name(...)
Particle Data Scheme

            


            
 
ParticleDataEntry::ParticleDataEntry(...)
Particle Data Scheme

            


            
 
ParticleDataEntry::ParticleDataEntry(...)
Particle Data Scheme

            


            
DecayChannel&
ParticleDataEntry::pickChannel()
Particle Data Scheme

            


            
bool
ParticleDataEntry::preparePick(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::rescaleBR(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::resInit(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::resOpenFrac(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::resWidth(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::resWidthChan(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::resWidthOpen(...)
Particle Data Scheme

            


            
double
ParticleDataEntry::resWidthRescaleFactor()
Particle Data Scheme

            


            
double
ParticleDataEntry::resWidthStore(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setAll(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setAntiName(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setChargeType(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setColType(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setDefaults()
Particle Data Scheme

            


            
void
ParticleDataEntry::setDoExternalDecays(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setDoForceWidth(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setHasChanged(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setIsResonance(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setIsVisible(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setM0(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setMayDecay(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setMMax(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setMMin(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setMWidth(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setName(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setNames(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setResonancePtr(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setSpinType(...)
Particle Data Scheme

            


            
void
ParticleDataEntry::setTau0(...)
Particle Data Scheme

            


            
int
ParticleDataEntry::sizeChannels()
Particle Data Scheme

            


            
int
ParticleDataEntry::spinType()
Particle Data Scheme

            


            
double
ParticleDataEntry::tau0()
Particle Data Scheme

            


            
bool
ParticleDataEntry::useBreitWigner()
Particle Data Scheme

            


            
 
ParticleDataEntry::~ParticleDataEntry
Particle Data Scheme

            


            
void AlpgenPar::void
printParams()
Alpgen Event Interface

            


            
bool
Pythia8ToHepMC::convert_gluon_to_0()
HepMC Interface

            


            
bool
Pythia8ToHepMC::crash_on_problem()
HepMC Interface

            


            
bool
Pythia8ToHepMC::fill_next_event(...)
HepMC Interface

            


            
bool
Pythia8ToHepMC::fill_next_event(...)
HepMC Interface

            


            
bool
Pythia8ToHepMC::free_parton_warnings()
HepMC Interface

            


            
bool
Pythia8ToHepMC::print_inconsistency()
HepMC Interface

            


            
 
Pythia8ToHepMC::Pythia8ToHepMC()
HepMC Interface

            


            
void
Pythia8ToHepMC::set_convert_gluon_to_0(...)
HepMC Interface

            


            
void
Pythia8ToHepMC::set_crash_on_problem(...)
HepMC Interface

            


            
void
Pythia8ToHepMC::set_free_parton_warnings(...)
HepMC Interface

            


            
void
Pythia8ToHepMC::set_print_inconsistency(...)
HepMC Interface

            


            
void
Pythia8ToHepMC::set_store_pdf(...)
HepMC Interface

            


            
void
Pythia8ToHepMC::set_store_proc(...)
HepMC Interface

            


            
void
Pythia8ToHepMC::set_store_xsec(...)
HepMC Interface

            


            
bool
Pythia8ToHepMC::store_pdf()
HepMC Interface

            


            
bool
Pythia8ToHepMC::store_proc()
HepMC Interface

            


            
bool
Pythia8ToHepMC::store_xsec()
HepMC Interface

            


            
virtual
Pythia8ToHepMC::~Pythia8ToHepMC()
HepMC Interface

            


            
CoupSM
Pythia::coupSM
Program Flow

            


            
Event
Pythia::event
Program Flow

            


            
bool
Pythia::flag(...)
Program Flow

            


            
bool
Pythia::forceHadronLevel(...)
Program Flow

            


            
bool
Pythia::forceRHadronDecays()
Program Flow

            


            
int
Pythia::forceTimeShower(...)
Program Flow

            


            
Info
Pythia::info
Program Flow

            


            
bool
Pythia::init()
Program Flow

            


            
bool
Pythia::init(...)
Program Flow

            


            
bool
Pythia::init(...)
Program Flow

            


            
bool
Pythia::init(...)
Program Flow

            


            
bool
Pythia::init(...)
Program Flow

            


            
bool
Pythia::init(...)
Program Flow

            


            
void
Pythia::LHAeventList(...)
Program Flow

            


            
bool
Pythia::LHAeventSkip(...)
Program Flow

            


            
int
Pythia::mode(...)
Program Flow

            


            
bool
Pythia::moreDecays()
Program Flow

            


            
bool
Pythia::next()
Program Flow

            


            
double
Pythia::parm(...)
Program Flow

            


            
ParticleData
Pythia::particleData
Program Flow

            


            
PartonSystems
Pythia::partonSystems
Program Flow

            


            
Event
Pythia::process
Program Flow

            


            
 
Pythia::Pythia(...)
Program Flow

            


            
bool
Pythia::readFile(...)
Program Flow

            


            
bool
Pythia::readFile(...)
Program Flow

            


            
bool
Pythia::readFile(...)
Program Flow

            


            
bool
Pythia::readFile(...)
Program Flow

            


            
bool
Pythia::readString(...)
Program Flow

            


            
Rndm
Pythia::rndm
Program Flow

            


            
bool
Pythia::setBeamShapePtr(...)
Program Flow

            


            
bool
Pythia::setDecayPtr(...)
Program Flow

            


            
bool
Pythia::setLHAupPtr(...)
Program Flow

            


            
bool
Pythia::setPDFPtr(...)
Program Flow

            


            
bool
Pythia::setResonancePtr(...)
Program Flow

            


            
bool
Pythia::setRndmEnginePtr(...)
Program Flow

            


            
bool
Pythia::setShowerPtr(...)
Program Flow

            


            
bool
Pythia::setSigmaPtr(...)
Program Flow

            


            
Settings
Pythia::settings
Program Flow

            


            
bool
Pythia::setUserHooksPtr(...)
Program Flow

            


            
SusyLesHouches
Pythia::slha
Program Flow

            


            
void
Pythia::stat()
Program Flow

            


            
void
Pythia::statistics(...)
Program Flow

            


            
void
Pythia::statistics(...)
Event Statistics

            


            
string
Pythia::word(...)
Program Flow

            


            
 
Pythia::~Pythia
Program Flow

            


            
bool
ResonanceWidths::allowCalc()
Semi Internal Resonances

            


            
void
ResonanceWidths::calcPreFac(...)
Semi Internal Resonances

            


            
void
ResonanceWidths::calcWidth(...)
Semi Internal Resonances

            


            
bool
ResonanceWidths::initBSM()
Semi Internal Resonances

            


            
void
ResonanceWidths::initConstants()
Semi Internal Resonances

            


            
double
ResonanceWidths::widthChan(...)
Semi Internal Resonances

            


            
bool
Rndm::dumpState(...)
Random Numbers

            


            
double
Rndm::exp()
Random Numbers

            


            
double
Rndm::flat()
Random Numbers

            


            
double
Rndm::gauss()
Random Numbers

            


            
pair<double, double>
Rndm::gauss2()
Random Numbers

            


            
void
Rndm::init(...)
Random Numbers

            


            
int
Rndm::pick(...)
Random Numbers

            


            
bool
Rndm::readState(...)
Random Numbers

            


            
 
Rndm::Rndm()
Random Numbers

            


            
 
Rndm::Rndm(...)
Random Numbers

            


            
bool
Rndm::rndmEnginePtr(...)
Random Numbers

            


            
double
Rndm::xexp()
Random Numbers

            


            
virtual double
RndmEngine::flat()
Random Numbers

            


            
void
RotBstMatrix::bst(...)
Four-Vectors

            


            
void
RotBstMatrix::bst(...)
Four-Vectors

            


            
void
RotBstMatrix::bst(...)
Four-Vectors

            


            
void
RotBstMatrix::bstback(...)
Four-Vectors

            


            
double
RotBstMatrix::deviation()
Four-Vectors

            


            
void
RotBstMatrix::fromCMframe(...)
Four-Vectors

            


            
void
RotBstMatrix::invert()
Four-Vectors

            


            
RotBstMatrix&
RotBstMatrix::operator=(...)
Four-Vectors

            


            
void
RotBstMatrix::reset()
Four-Vectors

            


            
void
RotBstMatrix::rot(...)
Four-Vectors

            


            
void
RotBstMatrix::rot(...)
Four-Vectors

            


            
void
RotBstMatrix::rotbst(...);
Four-Vectors

            


            
 
RotBstMatrix::RotBstMatrix()
Four-Vectors

            


            
 
RotBstMatrix::RotBstMatrix(...)
Four-Vectors

            


            
void
RotBstMatrix::toCMframe(...)
Four-Vectors

            


            
void
Settings::addFlag(...)
Settings Scheme

            


            
void
Settings::addFVec(...)
Settings Scheme

            


            
void
Settings::addMode(...)
Settings Scheme

            


            
void
Settings::addMVec(...)
Settings Scheme

            


            
void
Settings::addParm(...)
Settings Scheme

            


            
void
Settings::addPVec(...)
Settings Scheme

            


            
void
Settings::addWord(...)
Settings Scheme

            


            
bool
Settings::flag(...)
Settings Scheme

            


            
void
Settings::flag(...)
Settings Scheme

            


            
bool
Settings::flagDefault(...)
Settings Scheme

            


            
void
Settings::forceMode(...)
Settings Scheme

            


            
void
Settings::forceMVec(...)
Settings Scheme

            


            
void
Settings::forceParm(...)
Settings Scheme

            


            
void
Settings::forcePVec(...)
Settings Scheme

            


            
vector<bool>
Settings::fvec(...)
Settings Scheme

            


            
void
Settings::fvec(...)
Settings Scheme

            


            
vector<bool>
Settings::fvecDefault(...)
Settings Scheme

            


            
map
Settings::getFlagMap(...)
Settings Scheme

            


            
map
Settings::getFVecMap(...)
Settings Scheme

            


            
map
Settings::getModeMap(...)
Settings Scheme

            


            
map
Settings::getMVecMap(...)
Settings Scheme

            


            
map
Settings::getParmMap(...)
Settings Scheme

            


            
map
Settings::getPVecMap(...)
Settings Scheme

            


            
map
Settings::getWordMap(...)
Settings Scheme

            


            
bool
Settings::init(...)
Settings Scheme

            


            
bool
Settings::initPtr(...)
Settings Scheme

            


            
bool
Settings::isFlag(...)
Settings Scheme

            


            
bool
Settings::isFVec(...)
Settings Scheme

            


            
bool
Settings::isMode(...)
Settings Scheme

            


            
bool
Settings::isMVec(...)
Settings Scheme

            


            
bool
Settings::isParm(...)
Settings Scheme

            


            
bool
Settings::isPVec(...)
Settings Scheme

            


            
bool
Settings::isWord(...)
Settings Scheme

            


            
void
Settings::list(...)
Settings Scheme

            


            
void
Settings::listAll(...)
Settings Scheme

            


            
void
Settings::listChanged(...)
Settings Scheme

            


            
int
Settings::mode(...)
Settings Scheme

            


            
void
Settings::mode(...)
Settings Scheme

            


            
int
Settings::modeDefault(...)
Settings Scheme

            


            
vector<int>
Settings::mvec(...)
Settings Scheme

            


            
void
Settings::mvec(...)
Settings Scheme

            


            
vector<int>
Settings::mvecDefault(...)
Settings Scheme

            


            
double
Settings::parm(...)
Settings Scheme

            


            
void
Settings::parm(...)
Settings Scheme

            


            
double
Settings::parmDefault(...)
Settings Scheme

            


            
vector<double>
Settings::pvec(...)
Settings Scheme

            


            
void
Settings::pvec(...)
Settings Scheme

            


            
vector<double>
Settings::pvecDefault(...)
Settings Scheme

            


            
bool
Settings::readString(...)
Settings Scheme

            


            
bool
Settings::reInit(...)
Settings Scheme

            


            
void
Settings::resetAll()
Settings Scheme

            


            
void
Settings::resetFlag(...)
Settings Scheme

            


            
void
Settings::resetFVec(...)
Settings Scheme

            


            
void
Settings::resetMode(...)
Settings Scheme

            


            
void
Settings::resetMVec(...)
Settings Scheme

            


            
void
Settings::resetParm(...)
Settings Scheme

            


            
void
Settings::resetPVec(...)
Settings Scheme

            


            
void
Settings::resetWord(...)
Settings Scheme

            


            
 
Settings::Settings()
Settings Scheme

            


            
string
Settings::word(...)
Settings Scheme

            


            
void
Settings::word(...)
Settings Scheme

            


            
string
Settings::wordDefault(...)
Settings Scheme

            


            
bool
Settings::writeFile(...)
Settings Scheme

            


            
bool
Settings::writeFile(...)
Settings Scheme

            


            
int
SigmaProcess::code()
Semi Internal Processes

            


            
bool
SigmaProcess::convert2mb()
Semi Internal Processes

            


            
bool
SigmaProcess::convertM2()
Semi Internal Processes

            


            
int
SigmaProcess::gmZmode()
Semi Internal Processes

            


            
int
SigmaProcess::id3Mass()
Semi Internal Processes

            


            
int
SigmaProcess::id4Mass()
Semi Internal Processes

            


            
int
SigmaProcess::id5Mass()
Semi Internal Processes

            


            
int
SigmaProcess::idSChannel()
Semi Internal Processes

            


            
int
SigmaProcess::idTchan1()
Semi Internal Processes

            


            
int
SigmaProcess::idTchan2()
Semi Internal Processes

            


            
string
SigmaProcess::inFlux()
Semi Internal Processes

            


            
void
SigmaProcess::initProc()
Semi Internal Processes

            


            
int
SigmaProcess::isQCD3body()
Semi Internal Processes

            


            
bool
SigmaProcess::isSChannel()
Semi Internal Processes

            


            
string
SigmaProcess::name()
Semi Internal Processes

            


            
int
SigmaProcess::resonanceA()
Semi Internal Processes

            


            
int
SigmaProcess::resonanceB()
Semi Internal Processes

            


            
void
SigmaProcess::setIdColAcol()
Semi Internal Processes

            


            
bool
SigmaProcess::setupForME()
Semi Internal Processes

            


            
double
SigmaProcess::sigmaHat()
Semi Internal Processes

            


            
void
SigmaProcess::sigmaKin()
Semi Internal Processes

            


            
double
SigmaProcess::tChanFracPow1()
Semi Internal Processes

            


            
double
SigmaProcess::tChanFracPow2()
Semi Internal Processes

            


            
bool
SigmaProcess::useMirrorWeight()
Semi Internal Processes

            


            
double
SigmaProcess::weightDecay(...)
Semi Internal Processes

            


            
double
SigmaProcess::weightDecayFlav(...)
Semi Internal Processes

            


            
bool
SlowJet::analyze(...)
Event Analysis

            


            
vector<int>
SlowJet::clusConstituents(...)
Event Analysis

            


            
vector<int>
SlowJet::constituents(...)
Event Analysis

            


            
double
SlowJet::dNext()
Event Analysis

            


            
bool
SlowJet::doNSteps(...)
Event Analysis

            


            
bool
SlowJet::doStep()
Event Analysis

            


            
int
SlowJet::iNext()
Event Analysis

            


            
int
SlowJet::jetAssignment(...)
Event Analysis

            


            
int
SlowJet::jNext()
Event Analysis

            


            
void
SlowJet::list()
Event Analysis

            


            
void
SlowJet::list(...)
Event Analysis

            


            
double
SlowJet::m(...)
Event Analysis

            


            
int
SlowJet::multiplicity(...)
Event Analysis

            


            
Vec4
SlowJet::p(...)
Event Analysis

            


            
double
SlowJet::phi(...)
Event Analysis

            


            
double
SlowJet::pT(...)
Event Analysis

            


            
void
SlowJet::removeJet(...)
Event Analysis

            


            
bool
SlowJet::setup(...)
Event Analysis

            


            
int
SlowJet::sizeAll()
Event Analysis

            


            
int
SlowJet::sizeJet()
Event Analysis

            


            
int
SlowJet::sizeOrig()
Event Analysis

            


            
 
SlowJet::SlowJet(...)
Event Analysis

            


            
bool
SlowJet::stopAtN(...)
Event Analysis

            


            
double
SlowJet::y(...)
Event Analysis

            


            
virtual bool
SlowJetHook::include(...)
Event Analysis

            


            
 
SlowJetHook::SlowJetHook()
Event Analysis

            


            
virtual
SlowJetHook::~SlowJetHook()
Event Analysis

            


            
virtual bool
SpaceShower::branch(...)
Implement New Showers

            


            
bool
SpaceShower::doRestart()
Implement New Showers

            


            
virtual double
SpaceShower::enhancePTmax()
Implement New Showers

            


            
bool
SpaceShower::getHasWeaklyRadiated()
Implement New Showers

            


            
virtual void
SpaceShower::init(...)
Implement New Showers

            


            
void
SpaceShower::initPtr(...)
Implement New Showers

            


            
virtual bool
SpaceShower::limitPTmax(...)
Implement New Showers

            


            
virtual void
SpaceShower::list(...)
Implement New Showers

            


            
virtual void
SpaceShower::prepare(...)
Implement New Showers

            


            
virtual double
SpaceShower::pTnext(...)
Implement New Showers

            


            
 
SpaceShower::SpaceShower()
Implement New Showers

            


            
int
SpaceShower::system()
Implement New Showers

            


            
virtual void
SpaceShower::update(...)
Implement New Showers

            


            
virtual
SpaceShower::~SpaceShower()
Implement New Showers

            


            
bool
Sphericity::analyze(...)
Event Analysis

            


            
double
Sphericity::aplanarity()
Event Analysis

            


            
double
Sphericity::eigenValue(...)
Event Analysis

            


            
Vec4
Sphericity::eventAxis(...)
Event Analysis

            


            
void
Sphericity::list(...)
Event Analysis

            


            
int
Sphericity::nError()
Event Analysis

            


            
double
Sphericity::sphericity()
Event Analysis

            


            
 
Sphericity::Sphericity(...)
Event Analysis

            


            
 
SuppressSmallPT::SuppressSmallPT(...)
User Hooks

            


            
bool
Thrust::analyze(...)
Event Analysis

            


            
Vec4
Thrust::eventAxis(...)
Event Analysis

            


            
void
Thrust::list(...)
Event Analysis

            


            
int
Thrust::nError()
Event Analysis

            


            
double
Thrust::oblateness()
Event Analysis

            


            
double
Thrust::thrust()
Event Analysis

            


            
 
Thrust::Thrust(...)
Event Analysis

            


            
double
Thrust::tMajor()
Event Analysis

            


            
double
Thrust::tMinor()
Event Analysis

            


            
virtual bool
TimeShower::branch(...)
Implement New Showers

            


            
double
TimeShower::enhancePTmax()
Implement New Showers

            


            
bool
TimeShower::getHasWeaklyRadiated()
Implement New Showers

            


            
virtual void
TimeShower::init(...)
Implement New Showers

            


            
void
TimeShower::initPtr(...)
Implement New Showers

            


            
virtual bool
TimeShower::limitPTmax(...)
Implement New Showers

            


            
virtual void
TimeShower::list(...)
Implement New Showers

            


            
virtual void
TimeShower::prepare(...)
Implement New Showers

            


            
virtual void
TimeShower::prepareGlobal(...)
Implement New Showers

            


            
double
TimeShower::pTLastInShower()
Implement New Showers

            


            
virtual double
TimeShower::pTnext(...)
Implement New Showers

            


            
virtual bool
TimeShower::rescatterPropogateRecoil(...)
Implement New Showers

            


            
virtual void
TimeShower::rescatterUpdate(...)
Implement New Showers

            


            
virtual int
TimeShower::shower(...)
Implement New Showers

            


            
virtual int
TimeShower::showerQED(...)
Implement New Showers

            


            
int
TimeShower::system()
Implement New Showers

            


            
 
TimeShower::TimeShower()
Implement New Showers

            


            
virtual void
TimeShower::update(...)
Implement New Showers

            


            
virtual
TimeShower::~TimeShower()
Implement New Showers

            


            
virtual double
UserHooks::biasedSelectionWeight()
User Hooks

            


            
virtual double
UserHooks::biasSelectionBy(...)
User Hooks

            


            
virtual bool
UserHooks::canBiasSelection()
User Hooks

            


            
virtual bool
UserHooks::canModifySigma()
User Hooks

            


            
virtual bool
UserHooks::canReconnectResonanceSystems()
User Hooks

            


            
virtual bool
UserHooks::canSetResonanceScale()
User Hooks

            


            
virtual bool
UserHooks::canVetoFSREmission()
User Hooks

            


            
virtual bool
UserHooks::canVetoISREmission()
User Hooks

            


            
virtual bool
UserHooks::canVetoMPIEmission()
User Hooks

            


            
virtual bool
UserHooks::canVetoMPIStep()
User Hooks

            


            
virtual bool
UserHooks::canVetoPartonLevel()
User Hooks

            


            
virtual bool
UserHooks::canVetoPartonLevelEarly()
User Hooks

            


            
virtual bool
UserHooks::canVetoProcessLevel()
User Hooks

            


            
virtual bool
UserHooks::canVetoPT()
User Hooks

            


            
virtual bool
UserHooks::canVetoResonanceDecays()
User Hooks

            


            
virtual bool
UserHooks::canVetoStep()
User Hooks

            


            
virtual bool
UserHooks::doReconnectResonanceSystems(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoFSREmission(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoISREmission(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoMPIEmission(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoMPIStep(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoPartonLevel(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoPartonLevelEarly(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoProcessLevel(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoPT(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoResonanceDecays(...)
User Hooks

            


            
virtual bool
UserHooks::doVetoStep(...)
User Hooks

            


            
virtual bool
UserHooks::initAfterBeams()
User Hooks

            


            
void
UserHooks::initPtr(...)
User Hooks

            


            
virtual double
UserHooks::multiplySigmaBy(...)
User Hooks

            


            
virtual int
UserHooks::numberVetoMPIStep()
User Hooks

            


            
virtual int
UserHooks::numberVetoStep()
User Hooks

            


            
void
UserHooks::omitResonanceDecays(...)
User Hooks

            


            
virtual double
UserHooks::scaleResonance(...)
User Hooks

            


            
virtual double
UserHooks::scaleVetoPT()
User Hooks

            


            
void
UserHooks::subEvent(...)
User Hooks

            


            
 
UserHooks::UserHooks()
User Hooks

            


            
Event
UserHooks::workEvent
User Hooks

            


            
virtual
UserHooks::~UserHooks()
User Hooks

            


            
void
Vec4::bst(...)
Four-Vectors

            


            
void
Vec4::bst(...)
Four-Vectors

            


            
void
Vec4::bst(...)
Four-Vectors

            


            
void
Vec4::bst(...)
Four-Vectors

            


            
void
Vec4::bstback(...)
Four-Vectors

            


            
void
Vec4::bstback(...)
Four-Vectors

            


            
double
Vec4::e()
Four-Vectors

            


            
void
Vec4::e(...)
Four-Vectors

            


            
double
Vec4::eT()
Four-Vectors

            


            
double
Vec4::eT2()
Four-Vectors

            


            
double
Vec4::eta()
Four-Vectors

            


            
void
Vec4::flip3()
Four-Vectors

            


            
void
Vec4::flip4()
Four-Vectors

            


            
double
Vec4::m2Calc()
Four-Vectors

            


            
double
Vec4::mCalc()
Four-Vectors

            


            
Vec4&
Vec4::operator*=(...)
Four-Vectors

            


            
Vec4&
Vec4::operator+=(...)
Four-Vectors

            


            
Vec4
Vec4::operator-()
Four-Vectors

            


            
Vec4&
Vec4::operator-=(...)
Four-Vectors

            


            
Vec4&
Vec4::operator/=(...)
Four-Vectors

            


            
Vec4&
Vec4::operator=(...)
Four-Vectors

            


            
Vec4&
Vec4::operator=(...)
Four-Vectors

            


            
void
Vec4::p(...)
Four-Vectors

            


            
void
Vec4::p(...)
Four-Vectors

            


            
double
Vec4::pAbs()
Four-Vectors

            


            
double
Vec4::pAbs2()
Four-Vectors

            


            
double
Vec4::phi()
Four-Vectors

            


            
double
Vec4::pNeg()
Four-Vectors

            


            
double
Vec4::pPos()
Four-Vectors

            


            
double
Vec4::pT()
Four-Vectors

            


            
double
Vec4::pT2()
Four-Vectors

            


            
double
Vec4::px()
Four-Vectors

            


            
void
Vec4::px(...)
Four-Vectors

            


            
double
Vec4::py()
Four-Vectors

            


            
void
Vec4::py(...)
Four-Vectors

            


            
double
Vec4::pz()
Four-Vectors

            


            
void
Vec4::pz(...)
Four-Vectors

            


            
double
Vec4::rap()
Four-Vectors

            


            
void
Vec4::rescale3(...)
Four-Vectors

            


            
void
Vec4::rescale4(...)
Four-Vectors

            


            
void
Vec4::reset()
Four-Vectors

            


            
void
Vec4::rot(...)
Four-Vectors

            


            
void
Vec4::rotaxis(...)
Four-Vectors

            


            
void
Vec4::rotaxis(...)
Four-Vectors

            


            
void
Vec4::rotbst(...)
Four-Vectors

            


            
double
Vec4::theta()
Four-Vectors

            


            
double
Vec4::thetaXZ()
Four-Vectors

            


            
 
Vec4::Vec4(...)
Four-Vectors

            


            
 
Vec4::Vec4(...)
Four-Vectors

            


            


pythia8-8.1.86.orig/phpdoc/ParticleData.php0000644000175000017500000236040012357553536016705 0ustar  sunsun

Particle Data






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Particle Data
             
 
The structure and operation of the particle data table is described 
";?>here. That page 
also describes how default data properties can be changed. The 
current page provides the actual default values. 
 

            Main settings
             
 
Apart from the data itself, the particle data table only contains 
a few aspects that are available to change: 
 


            ParticleData:modeBreitWigner      (default = 4; minimum = 0; maximum = 4)
            
Selection of particle masses when the mSel(id) is called 
to provide a new mass: 

            
0 :   mass is fixed at the nominal m_0 value.  
            
1 :   particles registered as having a mass width are given a mass  in the range m_min < m < m_max, according  to a truncated nonrelativistic Breit-Wigner, i.e. linear in m.  
            
2 :   as above, except that the width is made mass-dependent:  Gamma = Gamma_0 * sqrt( (m^2 - m_thr^2) / (m_0^2 - m_thr^2) )  where m is the current mass, m_0 the nominal one and  m_thr is the mass threshold, given by the sum of the nominal  masses of the decay products. In order to decouple production and decay  the threshold is defined as the branching-ratio-weighted average over  all allowed decay channels.  
            
3 :   particles registered as having a mass width are given a mass  in the range m_min < m < m_max, according  to a truncated relativistic Breit-Wigner, i.e. quadratic in m.  
            
4 :   as 3, but the width is modified as for 2, and the current mass is used  for its phase-space prefactor, i.e. m_0 Gamma_0 → m Gamma(m).  
            

            Note: this mode only applies to normal hadronic 
resonances like the rho. The more massive states of the 
isResonance() type, like Z^0 or top, are 
considered separately. 
 


            ParticleData:maxEnhanceBW      (default = 2.5; minimum = 1.; maximum = 5.)
            
The modifications in options 2 and 4 above enhance the large-mass tail 
of the Breit-Wigner distributions (the mass spectrum develops a dm/m divergence). 
However, we expect form factors to dampen this tail at masses some distance 
above the nominal one, so cut off the rise by requiring the actual 
Breit-Wigner weight not to be more than a factor  maxEnhanceBW 
above the one obtained with options 1 or 3, respectively. This also 
opens up for a simpler technical handling of mass selection in options 
2 and 4, by using standard hit-and-miss Monte Carlo. 
   
 

             
Since running masses are only calculated for the six quark flavours, 
e.g. to obtain couplings to the Higgs boson(s), there is not an entry 
in the normal tables for each particles, but only the six MSbar mass 
values below, used as starting point for the running. In addition you 
can pick an alpha_s(M_Z), which is converted into a first-order 
five-flavour Lambda that is used to determine the rate of the running. 
(Without any match to four flavours below m_b; if desired, this 
can be fixed by slightly shifted default mass values, since the routines 
never should be called below the m_b scale anyway.) 
 


            ParticleData:mdRun      (default = 0.006; minimum = 0.003; maximum = 0.008)
            
the d quark MSbar mass at 2 GeV scale. 
   
 


            ParticleData:muRun      (default = 0.003; minimum = 0.001; maximum = 0.006)
            
the u quark MSbar mass at 2 GeV scale. 
   
 


            ParticleData:msRun      (default = 0.095; minimum = 0.060; maximum = 0.150)
            
the s quark MSbar mass at 2 GeV scale. 
   
 


            ParticleData:mcRun      (default = 1.25; minimum = 1.00; maximum = 1.50)
            
the c quark MSbar mass at the mass scale itself. 
   
 


            ParticleData:mbRun      (default = 4.20; minimum = 4.00; maximum = 4.50)
            
the b quark MSbar mass at the mass scale itself. 
   
 


            ParticleData:mtRun      (default = 165.0; minimum = 150.0; maximum = 175.0)
            
the t quark MSbar mass at the mass scale itself. 
   
 


            ParticleData:alphaSvalueMRun      (default = 0.125; minimum = 0.10; maximum = 0.20)
            
the alpha_s(M_Z) value used to define the rate at which MSbar 
masses run. 
   
 

            Comments on the data
             
 
Much of the current data has been updated based on the 2012 Review of Particle 
Physics [Ber12], while some is still based on the 2006 RPP 
[Yao06]. All known particle masses, widths and lifetimes 
have been set accordingly, while most not-yet-measured particles are kept at 
their values from PYTHIA 6. Decay channels and their branching 
ratios remain a major worry: many particles do not have one single solidly 
measured branching ratio, and many further do not have known branching 
ratios that add up to (the neighbourhood of) unity. 
 

             
Uncertainties are especially big for the scalar, pseudovector and tensor 
L = 1 multiplets available in PYTHIA. We note that 
some distributions become better described when these multiplets are 
included in the generation, while others become worse. It is tempting to 
associate this lackluster performance with the primitive knowledge. 
Not even the multiplets themselves are particularly well known. 
It used to be that the a_0(980) and f_0(980) 
were considered to be members of the scalar multiplet. Nowadays they are 
commonly assumed to be either four-quark states or of some other exotic 
character. This means that the PYTHIA 8 PDG particle codes 
have been changed for these particles, relative to what was used in 
PYTHIA 6 based on previous PDG editions. Specifically their 
numbers are now in the 9000000 series, and they have been replaced in the 
scalar multiplet by a_0(1450) and f_0(1370). 
 

             
For charm and bottom mesons the jungle of partial measurements makes 
it very difficult to construct fully consistent sets of decay channels. 
This part of the program has not yet been brought up to date to the 
2006 RPP. Instead the LHCb decay tables (for EvtGen, but without 
using the EvtGen matrix-element machinery) and the DELPHI tune for 
PYTHIA 6 is being used. (This also includes a few non-c/b 
hadrons that only occur in the c/b decay tables.) This has the 
advantage that many tests have been made for consistency, but the 
disadvantage that it is not always in agreement with the latest 
measurements of some specific decay channels. The decays based 
on the LHCb tables (with some modifications) are 411, 421, 431, 441, 
445, 511, 521, 531, 541, 3124, 4122, 4124, 5122, 10441, 10443, 13122, 
14122, 20443, 23122, 30313, 30323, 30443, 33122, 100113, 100213, 100441, 
100443, 100553, 9000111, 9000211. Correspondingly the decays based on 
the DELPHI tables are 415, 425, 435, 515, 525, 535, 4132, 4232, 4332, 
5132, 5232 and 5332. 
 

            The data itself
             
 
Here comes the default particle data used in the program. Do not touch. 
The meaning of the various properties and the format used are explained 
";?>here and the 
meMode codes ";?>here. 
 

            particle: id="0" name="void" spinType="0" chargeType="0" colType="0" 
          m0="0.00000" 
 

            particle: id="1" name="d" antiName="dbar" spinType="2" chargeType="-1" colType="1" 
          m0="0.33000" 
 

            particle: id="2" name="u" antiName="ubar" spinType="2" chargeType="2" colType="1" 
          m0="0.33000" 
 

            particle: id="3" name="s" antiName="sbar" spinType="2" chargeType="-1" colType="1" 
          m0="0.50000" 
 

            particle: id="4" name="c" antiName="cbar" spinType="2" chargeType="2" colType="1" 
          m0="1.50000" 
 

            particle: id="5" name="b" antiName="bbar" spinType="2" chargeType="-1" colType="1" 
          m0="4.80000" 
 

            particle: id="6" name="t" antiName="tbar" spinType="2" chargeType="2" colType="1" 
          m0="171.00000" mWidth="1.40000" mMin="86.00000" mMax="0.00000" 
 
                  channel: onMode="1" bRatio="0.0000300" products="24 1" 
 
                  channel: onMode="1" bRatio="0.0017650" products="24 3" 
 
                  channel: onMode="1" bRatio="0.9982050" products="24 5" 
 
                  channel: onMode="0" bRatio="0.0000000" products="37 5" 
 

            particle: id="7" name="b'" antiName="b'bar" spinType="2" chargeType="-1" colType="1" 
          m0="400.00000" 
 
                  channel: onMode="1" bRatio="0.0000000" products="-24 2" 
 
                  channel: onMode="1" bRatio="0.0000000" products="-24 4" 
 
                  channel: onMode="1" bRatio="0.0000000" products="-24 6" 
 
                  channel: onMode="1" bRatio="1.0000000" products="-24 8" 
 

            particle: id="8" name="t'" antiName="t'bar" spinType="2" chargeType="2" colType="1" 
          m0="400.00000" 
 
                  channel: onMode="1" bRatio="0.0000000" products="24 1" 
 
                  channel: onMode="1" bRatio="0.0000000" products="24 3" 
 
                  channel: onMode="1" bRatio="0.0000000" products="24 5" 
 
                  channel: onMode="1" bRatio="1.0000000" products="24 7" 
 

            particle: id="11" name="e-" antiName="e+" spinType="2" chargeType="-3" colType="0" 
          m0="5.110e-04" 
 

            particle: id="12" name="nu_e" antiName="nu_ebar" spinType="2" chargeType="0" colType="0" 
          m0="0.00000" 
 

            particle: id="13" name="mu-" antiName="mu+" spinType="2" chargeType="-3" colType="0" 
          m0="0.10566" tau0="6.58654e+05" 
 
                  channel: onMode="1" bRatio="1.0000000" meMode="22" products="-12 11 14" 
 

            particle: id="14" name="nu_mu" antiName="nu_mubar" spinType="2" chargeType="0" colType="0" 
          m0="0.00000" 
 

            particle: id="15" name="tau-" antiName="tau+" spinType="2" chargeType="-3" colType="0" 
          m0="1.77682" tau0="8.71100e-02" 
 
                  channel: onMode="1" bRatio="0.1076825" meMode="1521" products="16 -211" 
 
                  channel: onMode="1" bRatio="0.0069601" meMode="1521" products="16 -321" 
 
                  channel: onMode="1" bRatio="0.1772832" meMode="1531" products="16 11 -12" 
 
                  channel: onMode="1" bRatio="0.1731072" meMode="1531" products="16 13 -14" 
 
                  channel: onMode="1" bRatio="0.2537447" meMode="1532" products="16 111 -211" 
 
                  channel: onMode="1" bRatio="0.0015809" meMode="1532" products="16 311 -321" 
 
                  channel: onMode="1" bRatio="0.0001511" meMode="1532" products="16 221 -321" 
 
                  channel: onMode="1" bRatio="0.0083521" meMode="1533" products="16 -211 -311" 
 
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"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/UpdateHistory.php0000644000175000017500000042324212357553536017156 0ustar  sunsun

Update History






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Update History
             
 
These update notes describe major updates relative to the baseline 
PYTHIA 8.100 version. However, they are less extensive than the 
corresponding update notes for PYTHIA 6. On the other hand, 
whereas the PYTHIA 6 manual is a static document, the PYTHIA 8 
html/php pages are kept up to date for each subversion. 
 


             
Important note:version 8.160 does introduce some elements of 
backwards incompatibility. Specifically, "multiple interactions", 
abbreviated MI, has been renamed "multiparton interactions", MPI. 
This affects many parts of the code and documentation. Also some 
features are deprecated, although remaining until the end of the 
8.1xx version series. 
 
 

            Main news by version
             
 

               
 

            • 8.105: 24 February 2008 

                 
 

              • New option to initialize with arbitrary beam directions
                 
pythia.init( idA, idB, pxA, pyA, pzA, pxB, pyB, pzB)
                •  
 

              • Added capability to set ";?>beam energy spread 
and beam vertex. 

                 
Warning: as a consequence, the old Beams group of 
settings has been moved to BeamRemnants, and 
Beams is now instead used for machine beam parameters. 
Therefore also some Main settings of this character have been 
regrouped, as follows: 

                 

                 8.100 setting   has been moved to  
                 

                 Main:idA           
     Beams:idA          
                 

                 Main:idB           
     Beams:idB          
                 

                 Main:inCMframe     
     (Beams:frameType)  
                 

                 Main:eCM           
     Beams:eCM          
                 

                 Main:eA            
     Beams:eA           
                 

                 Main:eB            
     Beams:eB           
                 

                 Main:LHEF          
     Beams:LHEF         
                 

                •  
 

              • The forceHadronLevel() method introduced for standalone 
hadronization.
                •  
 

              • main15.cc illustrated how either full hadronization or 
only decays of some particles can be looped over for the rest of the 
event retained.
                •  
 

              • The LHAevnt and LHAinit classes have been 
joined into a new LHAup one, with new options that allow 
the writing of a Les Houches Event File.
                •  
 

              • The SusyLesHouches class updated to handle 
SLHA version 2.
                •  
 

              • Updated HepMC conversion routine.
                •  
 

              • The static ErrorMsg class has been removed and 
its functionality moved into the non-static Info class, 
in the renamed Info file.
                •  
 

              • Further reduction of the use of static, with related code changes. 
This should allow to have several almost independent Pythia 
instances. Some static classes still remain, however, notably for 
random number generation and particle properties.
                •  
 

              • Limited capability to use two different Pythia instances 
for signal + pileup event generation, see main19.cc for an 
example.
                •  
 

              • In the Event class the = and 
=+ methods have been overloaded to allow the copying 
or appending of event records. Illustrated in main19.cc.
                •  
 

              • The html and php page formatting improved with 
cascading style sheets.
                •  
 

              • Several minor improvements and new options, including updated configure 
scripts.
                •  
 

               

              •  
 

            • 8.108: 1 May 2008 

                 
 

              • Correction in the event record, so that the beam particles in line 
1 and 2 do not have any mother according to the motherList 
method. Previously the "system" entry in line 0 was counted as their 
mother, which gave rise to an unexpected extra vertex in the conversion 
to the HepMC format.
                •  
 

              • Support for HepMC version 1 is removed, to simplify the code and 
reflect the evolution of the field.
                •  
 

              • Status codes are stored in HepMC only as 1 for existing and 2 for 
decayed or fragmented particles (whereas previously the original PYTHIA 
codes were used for the latter).
                •  
 

              • Parton densities are stored in HepMC as xf(x,Q^2) 
rather than the f(x,Q^2) used in (some) previous versions.
                •  
 

              • The SusyLesHouches class has been updated so that reading is fully 
compatible with the SLHA2 standard. 
                •  
 

              • Improved handling of the Higgs width, relevant for massive and thereby 
broad resonance shapes.
                •  
 

              • The matrix elements for neutralino pair production have now been 
completed and checked.
                •  
 

              • Ensure that alpha_strong does not blow up, by introducing 
a minimal scale somewhat above Lambda_3 (roughly where 
alpha_strong = 10).
                •  
 

              • New methods isValence1() and isValence2() 
in the Info class.
                •  
 

              • Protection against division by zero in calculation of decay vertex 
(for zero-mass gluons with zero lifetime, where there should be no 
displacement).
                •  
 

              • A new compilation option -Wshadow is introduced and 
code is rewritten at all places where this option gave warnings.
                •  
 

              • Minor library correction to allow compilation with gcc 4.3.0.
                •  
 

               

              •  
 

            • 8.114: 22 October 2008 

                 
 

              • New rescattering description operational (but still experimental) 
for the case that FSR is not interleaved, but saved until after MPI, 
ISR and beam remnants have been handled. This involves much new code 
in several classes.
                •  
 

              • A new class PartonSystems is introduced to 
keep track of which partons in the event record belong to which 
subcollision system, plus some further information on each subsystem. 
It takes over functionality previously found as part of the 
Event class, but leaves room for future growth.
                •  
 

              • Add optional model, wherein an increased pT0 turnoff scale 
for MPI and ISR is used for above-average active events, i.e. events that 
already have several MPI's or ISR emissions.
                •  
 

              • Freeze GRV 94L distribution at small Q^2 to avoid blowup.
                •  
 

              • The pythia.readFile(...) method can now alternatively take 
an istream as argument instead of a filename.
                •  
 

              • Minor bug correction in PartonLevel.cc; the bug could 
(rarely) give a segmentation fault.
                •  
 

               

              •  
 

            • 8.120: 10 March 2009 

                 
 

              • New rescattering description further developed, but not yet 
recommended for normal usage.
                •  
 

              • Include new processes for Large Extra Dimensions and Unparticles, 
contributed by Stefan Ask. New test program main28.cc 
illustrates.
                •  
 

              • Include further SUSY processes: neutralino-chargino and 
chargino-chargino pairs. The processes should be valid also 
in the case of non-minimal flavour violation and/or CP violation. 
Expanded machinery to keep track of SUSY parameters.
                •  
 

              • Include backwards evolution of incoming photon as part of the 
SpaceShower initial-state radiation description. This 
allows you to simulate hard collisions where one of the incoming 
partons is a photon. New test program main43.cc 
illustrates.
                •  
 

              • Allow separate mass and transverse momentum cuts when two hard 
subprocesses are generated in the same event.
                •  
 

              • The default value for the border between short- and long-lived 
particles has been changed from 1 mm to 10 mm, to better conform with 
LHC standards, see  ";?>here. 
The default is still to let all unstable particles decay.
                •  
 

              • New ISR matrix-element correction to f → f gamma 
in single W production.
                •  
 

              • New method Event::statusHepMC returns the status 
code according to the HepMC conventions agreed in February 2009. 
The interface to HepMC now writes out status according to this 
convention.
                •  
 

              • Add capability to link to FastJet, with expanded configure script 
and Makefile, and with main61.cc as new example.
                •  
 

              • Update of Makefile.msc, with added support for latest 
Visual C++ Express edition and use of regexp to check nmake version.
                •  
 

              • Update of LHAFortran.h and 
Pythia6Interface.h, to make the interface to Fortran 
routines work also under Windows. (Thanks to Anton Karneyeu.) 
 

              • Updated and expanded worksheet.
                •  
 

              • The manual pages in the xmldoc directory, and thereby 
also those of the htmldoc and phpdoc 
directories, have been significantly updated and expanded. In particular, 
in many places the class of each method is explicitly shown, as well as 
the type of the return value and of the arguments. This upgrade is not 
yet completed, but already covers the more relevant sections. 
                •  
 

              • The unary minus operator in the Vec4() returns a 
reference to a four-vector with all components negated, but leaves 
the original four-vector unchanged. Previously the four-vector itself 
was flipped.
                •  
 

              • The pPlus() and pMinus() methods of a 
four-vector and an event-record particle are renamed pPos() 
and pNeg(), respectively.
                •  
 

              • Include a further loop in ProcessLevel, so that a new 
process is generated in case of failures of a less severe nature.
                •  
 

              • Introduce warning message for unexpected meMode in 
ResonanceWidths.
                •  
 

              • Les Houches event reading framework has been rearranged for 
more flexibility. Some bugs corrected. Specifically, when scale 
is not set (scale = -1. in the Les Houches standard), 
PYTHIA did not attempt to set this scale itself, which typically 
lead to there not being any ISR or FSR. Now the 
";?>rules for normal 
1-, 2- and 3-body final states are applied, with a trivial 
extension of the 3-body rules for higher multiplicities.
                •  
 

              • Correct bug in the handling of parton densities, whereby it was 
not possible to switch to a new set, once a first initialization 
had been done.
                •  
 

              • Correct bugs when several Pythia::init initialization 
calls are made in the same run, specifically in the case that pointers 
to external processes have been handed in. 
 

              • Changes in main03.cmnd and main04.cmnd 
so that some nonstandard options are commented out rather than active. 
Related comments inserted also in some other .cmnd files, 
but there without any change in program execution.
                •  
 

              • A few further minor bug fixes.
                •  
 

              • Update year to 2009.
                •  
 

               

              •  
 

            • 8.125: 16 June 2009 

                 
 

              • Hadronization and timelike-shower parameter default values updated 
according to a tune to LEP1 data by Hendrik Hoeth, using the 
Rivet + Professor framework.
                •  
 

              • Many further SUSY production processes. SLHA readin expanded to cover 
also masses and decay modes. Example main22.cc updated, while 
main33.cc now superfluous and removed. 
                •  
 

              • Also further processes for extra dimensions.
                •  
 

              • Stefan Ask joins as coauthor.
                •  
 

              • The TimeShower::shower(...) method has gained 
a new argument, that forces the shower evolution to stop after 
a given number of branchings. A new method 
TimeShower::pTLastInShower() permits the last evolution 
pT to be read out. These extensions can be useful 
for matching studies. 

                •  
 

              • New optional argument isInterleaved added to 
TimeShower::branch(...). Is false by default, but 
true when called from the parton level for interleaved evolution 
of several parton systems, optionally also with ISR and MPI.
                •  
 

              • New methods UserHooks::canSetResonanceScale() 
and UserHooks:scaleResonance(...) allows an optional 
user choice of the maximum shower scale in resonance decays.
                •  
 

              • A new method SpaceShower::doRestart() has been 
added, to help distinguish cases when a 
SpaceShower::branch(...) failure forces a complete 
restart of the evolution from ones where only the intended 
current branching has been vetoed. 
 

              • When multiparton interactions are initialized, it is now 
possible to reduce both pT0 and pTmin 
if necessary to find a valid solution where 
sigma_jet > sigma_nondiffractive. Previously 
only the former would be reduced, which could lead to 
infinite loops if too large a pTmin was used. 
Thanks to Sami Kama for pointing out the problem. 

                •  
 

              • The rescattering machinery is now essentially completed, and can 
be used also by others than the authors. For now, however, it can only 
be recommended for dedicated studies, not e.g. for generic tunes. 

                •  
 

              • Timelike and spacelike showers, and beam remnant handling, 
are modified to handle rescattering partons. Specifically, a new machinery 
is introduced to trace the recoils from the combination of rescattering 
with showers and primordial kT. Can assign space- or timelike 
virtualities to intermediate particles to have energy and momentum 
conserved locally. This affects the PartonLevel, 
MultipartonInteractions, TimeShower, 
SpaceShower and BeamRemnants classes. 
Further details to appear in the upcoming article on rescattering. 
(Another change is a reversal to pre-8.114 order for non-interleaved FSR, 
wherein also FSR is treated before beam remnants are attached.) 

                •  
 

              • Four new status codes introduced, as part of the rescattering 
description: 

                45 : incoming rescattered parton, with changed kinematics owing 
to ISR in the mother system (cf. status 34); 

                46 : incoming copy of recoiler when this is a rescattered parton 
(cf. status 42); 

                54 : copy of a recoiler, when in the initial state of a different 
system from the radiator; 

                55 : copy of a recoiler, when in the final state of a different 
system from the radiator. 

                •  
 

              • New method Info::tooLowPTmin() can tell whether the 
pTmin scales for showers or multiparton interactions are too low. 

                •  
 

              • Pion beams allowed, both pi^+, pi^- and 
pi^0. New machinery for the latter, where the valence 
flavour content is chosen to be either d dbar or 
u ubar for each new event. One internal pion PDF 
implemented, with others from LHAPDF.
                •  
 

              • Treatment of Pomeron-proton collisions begun.
                •  
 

              • Phase-space handling of hard processes and multiparton interactions 
slightly expanded to better allow for harder PDF's than proton ones, 
e.g. for Pomerons.
                •  
 

              • The program documentation has been expanded with an 
alphabetical index of all methods that are described on the 
webpages, see the ";?>Program Methods 
page. Also other sections of the documentation have been 
updated and expanded, including the worksheet.
                •  
 

              • Several list methods have been made 
const. For the listing of events two new methods 
have been added, Event::list() and 
Event::list(bool showScaleAndVertex, 
bool showMothersAndDaughters = false), 
that correspond to special cases of the general method.
                •  
 

              • A new method Pythia::LHAeventSkip(int nSkip) 
permits a skip-ahead of the reading of external Les Houches 
Events, without the necessity to generate the intervening 
nSkip events in full. Makes use of the new 
LHAup::skipEvent(int nSkip) method to perform 
the operations. Mainly intended for debug purposes. 
 

              • The ClusterJet jet finder now saves the last 
five clustering scales. Also a minor bug fix. Thanks to Nils 
Lavesson for this contribution.
                •  
 

              • The Particle::m2() method now returns a negative 
number when the stored mass m is negative, as used to 
indicate spacelike virtualities. Also the 
Particle::eCalc(), Particle::mT() and 
Particle::mT2() methods have been modified. 

                •  
 

              • The << method to print our a four-vector has 
been expanded with a fifth number, the invariant length, with a minus 
sign for spacelike vectors, and provided within brackets to allow 
a simple visual distinction.
                •  
 

              • New methods Rndm::dumpState(string fileName) and 
Rndm::readState(string fileName) allows to write or 
read the state of the random number generator to or from a binary file. 

                •  
 

              • New method double GammaReal(double x) returns the 
value of the Gamma function for arbitrary real argument. 
Some cross sections for extra-dimensional processes rewritten to 
make use of it. 

                •  
 

              • New example program main29.cc shows how 
to set up a fictitious process of a heavy system decaying 
to two particles or partons, with decays traced to stable 
particles, as relevant for astroparticle applications.
                •  
 

              • Main programs that illustrate the HepMC interface have 
been updated to use version 2.04, including units and excluding 
deprecated output formats.
                •  
 

              • The main32.cc example extended also to handle 
Les Houches Event Files.
                •  
 

              • The Makefile has been modified so that "make clean" only 
removes the current compilation and library files, while 
"make distclean" gives a more extensive reset and cleanup. 
Thanks to Nils Lavesson for this contribution. Some other 
minor Makefile corrections.
                •  
 

              • Several main programs that use the 
Main:timesToShow mode have been corrected so as 
not to crash if this is set to zero. Also some other cosmetics 
changes in main programs that do not affect the running.
                •  
 

              • Bug correction, in that previously a veto with user hooks 
was not propagated from parton showers inside resonance decays. 

                •  
 

              • Minor bug fix in TimeShower for kinematics with 
unequal beam-particle masses.
                •  
 

              • Bug fix so that PartonLevel:MPI = off also works for 
minimum-bias events.
                •  
 

              • Minor bug fix in the impact-parameter selection of multiparton 
interactions. Thanks to Sami Kama for pointing it out.
                •  
 

              • String fragmentation for junction topology protected against 
numerical instability in boost.
                •  
 

              • Bug correction in the handling of particle decays to partons, 
where the scale of the partons was set before the partons had been 
added to some arrays, leading to indexation out of bounds. 
Thanks to Vladislav Burylov for discovering this bug. 

                •  
 

              • Bug correction in the handling of particles with inhibited decay, 
where the decay vertex would be too far displaced, which could lead to 
infinite loop. Thanks to Sami Kama for debugging this. 
                •  
 

              • Check to avoid infinite loop in matrix-element handling of 
two-body decays.
                •  
 

              • Bug correction to avoid infinite loops in Dalitz decay treatment. 
Some changes in the decay handling logic to allow a new try when the 
decay of a particle fails.
                •  
 

              • Minor correction, so the pointer to the Info class 
is set also for user-written classes derived from LHAup. 

                •  
 

              • Correction for typo in the matrix element of the 
Sigma3ff2HchgchgfftWW class, for doubly charged Higgs 
production. Thanks to Merlin Kole for spotting it.
                •  
 

              • Updated colour bookkeeping in junction-antijunction annihilation 
avoids later problems in Pythia::check(). 
                •  
 

              • Minor updates of the Makefile.msc file to work with 
Visual Studio 2008. Thanks to David Bailey for these modifications.
                •  
 

              • Ensure that nInit in the BeamParticle 
class is set also for unresolved lepton beams.
                •  
 

              • The VetoEvolution class, derived from 
UserHooks, is obsolete and has been removed.
                •  
 

               

              •  
 

            • 8.130: 15 September 2009 

                 
 

              • New machinery that allows multiparton interactions inside diffractive 
systems. Also new optional Pomeron flux factors and Pomeron PDFs. 
New page on ";?>diffraction added, where 
further details are collected. Still not tuned, so to be used with 
caution.
                •  
 

              • Make Peter Skands' "Tune 1" parameters for ISR and MPI default. 
The older simpler tune is still available as an option, see 
";?>Tune:pp. 

                •  
 

              • New possible choices for a second hard process: charmonium, 
bottomonium, top pair and single top.
                •  
 

              • New code for pair production of generic colour-triplet scalar, 
fermion or vector. Largely written by Johan Bijnens, partly recycling 
existing code.
                •  
 

              • Add user hooks possibility to veto event after a given number 
of multiparton interactions.
                •  
 

              • Add instructions how PYTHIA 8 can be used from inside ROOT. 
Thanks to Andreas Morsch for providing the text and Rene Brun 
for a simple example.
                •  
 

              • The main21.cc example extended with an option 
for a single-particle gun.
                •  
 

              • Improvements and bug fixes in rescattering framework.
                •  
 

              • New method Hist::table(string fileName) provides a 
more direct way to print a two-column table of histogram contents 
into a file than the current Hist::table(ostream& os = cout). 
 
                •  
 

              • Modify reading of external files so that a line only consisting of 
control characters counts as empty, the same way as a line only consisting 
of blanks already did. This includes carriage return, tabs and a few more, 
the ones represented by \n \t \v \b \r \f \a. Applies to 
Les Houches Event files, settings files and particle data files. 
                •  
 

              • Fix it so that the read-in of a Les Houches Event File for the 
hardest process can be combined with the facility to select a specified 
second hard process.
                •  
 

              • New empty base class method LHAup::fileFound() 
allows the derived class LHAupLHEF to signal more 
clearly that a failed initialization is caused by a failure to open 
the desired file. 
                •  
 

              • Check that a pointer to an LHAup object has been set 
in Pythia::LHAeventList() and 
Pythia::LHAeventSkip(...) calls.
                •  
 

              • Updated configure and Makefile, e.g. to build shared libraries 
on Mac OS X.
                •  
 

              • The options with a direct link to hard-process generation 
in PYTHIA 6 has been removed. It is hardly ever used but 
complicates the build structure. (Owing to its usefulness for some 
debug work, it was reinstated in a limited form in version 8.135. 
Thus main51.cc now contains the complete interface, 
previously in separate files, and commented-out lines in 
examples/Makefile suggest how PYTHIA 6 could be linked.) 

                •  
 

              • New argument to Info::errorMsg(...) allows to 
show all error messages of a specific kind rather than only the 
first one, e.g. for initialization.
                •  
 

              • Correction in decay table of righthanded Majorana neutrinos. 
Thanks to Arnaud Ferrari and Vladimir Savinov.
                •  
 

              • Correction in expressions in the manual for H^+- couplings 
to an h^0, H^0 or A^0 and a W^+-. 
Thanks to Rikard Enberg.
                •  
 

              • Fix for accessing uninitialized memory, caused by accessing the 
daughters of the incoming beams before these daughters actually existed. 
Thanks to David Bailey and Sami Kama. 

                •  
 

              • Uninitialized photon PDF inside the proton could give crazy results 
for processes with incoming photons. Thanks to Adam Davison.
                •  
 

              • Bug fix such that finite lifetimes can be set also for particles 
produced in the hard process. To exemplify, the bug affected 
tau leptons produced in Z^0 and W^+- 
decays. Thanks to Troels Petersen.
                •  
 

              • Bug fix in TimeShower, that beamOffset 
could remain uninitialized. Thanks to Sami Kama.
                •  
 

              • Minor correction to resonance decays: fail if the allowed mass 
range of a Breit-Wigner resonance is a small fraction of the total 
area under the resonance curve.
                •  
 

              • Correction when all three valence quarks were kicked out from a 
proton and could give false messages that beam momentum had been 
used up.
                •  
 

              • Clarify status codes needed for hadron-level standalone runs in 
order to avoid error messages, and modify the main21.cc 
example accordingly. 
                •  
 

              • Minor corrections in the processes for extra dimensions.
                •  
 

              • Some other minor additions to existing facilities 
and minor bug fixes.
                •  
 

               

              •  
 

            • 8.135: 10 January 2010 

                 
 

              • All usage of static member methods inside Pythia8 has now been 
eliminated. This simplifies for you to have several simultaneous 
Pythia instances that are run with different conditions. 
The three main classes affected by this are the Settings 
and ParticleData databases and the Rndm 
random-number generator. You can no longer address the methods of these 
classes directly, but have to address them via the settings, 
particleData and rndm instances in the 
respective Pythia object. Also some other smaller pieces 
of code are affected, e.g. Standard Model and SUSY couplings 
(the latter in new files). 

                Note 1: The documentation has been updated accordingly 
on these webpages, but the "A Brief Introduction to PYTHIA 8.1" 
still refers to the old behaviour of version 8.100. 

                Note 2: the interface to the external LHAPDF library remains 
static, since LHAPDF is written in Fortran and thus by definition 
static. 

                Note 3: if you want to have momentum smearing in 
CellJet you now need to send in a pointer to a 
random-number generator. 

                •  
 

              • Ten new proton PDF sets are made available internally: 
MRST LO* (2007), MRST LO** (2008), MSTW 2008 LO (central member), 
MSTW 2008 NLO (central member), CTEQ6L, CTEQ6L1, CTEQ6.6 (NLO, 
central member), CT09MC1, CT09MC2, and CT09MCS, see 
";?>PDF Selection. The Pomeron PDF data 
files have been renamed for consistency. Thanks to Tomas Kasemets 
for help with this [Kas10]. 

                •  
 

              • New parameters TimeShower:pTmaxFudgeMPI and 
SpaceShower:pTmaxFudgeMPI introduced, to give the same 
functionality for multiparton interactions that 
TimeShower:pTmaxFudge and SpaceShower:pTmaxFudge 
do for the hardest.
                •  
 

              • A few extensions of the UserHooks framework. 
New methods UserHooks:canVetoISREmission() and 
UserHooks::doVetoISREmission(...) allows the latest 
initial-state emission to be studied before being finalized, 
with the possibility to veto it. 
Similarly Userhooks:canVetoFSREmission() and 
UserHooks::doVetoFSREmission(...) can be used to 
veto the latest final-state emission.
                •  
 

              • A number of loop counters have been introduced in the 
Info class, that offers some further information on 
the progress of the event generation, for use e.g. in conjunction 
with the UserHooks facility.
                •  
 

              • The Pythia::initTunes(...) method is made public, so that 
it can be called before the normal call from Pythia::init(...). 
That way it is possible to start out from a given tune and change a few 
of the parameters. 

                •  
 

              • Bug corrected in LHAFortran.h for hard-process input 
from Fortran commonblock. This did not work properly when the input 
was used in combination with a second hard process generated internally. 
Thanks to Mikhail Kirsanov and Roberto Chierici. 
 

              • Insertion of missing initialization of isInit in the 
Settings and ParticleData constructors, and 
nInit for BeamParticle. 
Thanks to Leif Lönnblad.
                •  
 

              • Updated Makefile.msc for Windows users.
                •  
 

              • Fix of some non-optimal use of booleans, that give warnings on 
a Windows compiler. Thanks to Anton Karneyeu.
                •  
 

              • New options for the ";?> 
SUSY Les Houches Accord such that, by default, 
particle and decay data are not overwritten for known Standard Model 
particles (including Z^0, W^+- and t, 
but excluding the Higgs).
                •  
 

              • Bug fix in SusyLesHouches, where the reading of SLHA 
information embedded in an LHEF would not stop at the end of the header 
section.
                •  
  

              • Bug correction for undefined secondary widths where decay products 
together are heavier than the mother. Also unit default secondary width 
values in the DecayChannel constructor.
                •  
  

              • Documentation updated, including change of current year to 2010.
                •  
 

               

              •  
 

            • 8.140: 16 July 2010 

                
 

              • Four new draft ";?>tunes available.
                •  
 

              • Introduction of a new scenario for production of Hidden-Valley 
particles, and interleaved showering in the QCD and HV sectors, see 
the new ";?>Hidden Valleys 
description. A longer physics writeup is available [Car10]. 

                •  
 

              • Implementation of 2 → 3 phase space selection intended 
for QCD processes with massless partons. A new set of matching 
";?>phase space cut parameters. 
The ";?>ten different QCD 2 → 3 
processes have been implemented making use of this new 
possibility, so far without a complete handling of possible colour 
flows, however.
                •  
 

              • New processes have been added for 
";?>contact interactions in 
q q → q q and q qbar → q qbar scattering.
                •  
 

              • A process has been added for TeV^-1 Sized 
";?>Extra Dimensions, which 
involves the electroweak KK gauge bosons, i.e. gamma_{KK}/Z_{KK}, 
in one TeV^-1 sized extra dimension; see main30.cc for 
an example. This scenario is described in [Bel10]. Thanks to 
Noam Hod and coworkers for contributing this code.
                •  
 

              • In the Randall-Sundrum extra-dimensional scenario a new option has 
been added where SM fields can exist in the bulk rather than only on 
a brane. (Still under development.) Furthermore production of a 
Kaluza-Klein gluon state has been added, and the  main28.cc 
test program extended.
                •  
 

              • The scenario for monojets in Large Extra Dimensions has been expanded 
with an alternative for scalar graviton exchange instead of tensor one. 

                •  
 

              • New parameters for maximum scale of 
";?>timelike showers, 
TimeShower:pTmaxMatch, and the dampening of hard radiation, 
TimeShower:pTdampMatch and TimeShower:pTdampFudge, 
by analogy with corresponding ones for spacelike showers. Also new method 
TimeShower:limitPTmax(...) to implement alternative procedures. 
For dipoles stretched to the beam the new switch 
TimeShower:dampenBeamRecoil allows to dampen radiation 
close to the beam direction, with a changed default behaviour.
                •  
 

              • Azimuthal anisotropies from coherence arguments have been introduced 
for the spacelike parton showers, see SpaceShower:phiIntAsym 
and SpaceShower:strengthIntAsym. 
Also azimuthal anisotropies from gluon polarization have been introduced 
for the spacelike parton showers, see SpaceShower:phiPolAsym, 
and updated for timelike parton showers, see 
TimeShower:phiPolAsym.
                •  
 

              • Improvements for the matching to POWHEG LHEF-style input illustrated 
by the new main71.cc example. See also [Cor10].
                •  
 

              • A set of new processes gamma gamma → f fbar, with f 
quarks or leptons. Code for equivalent photon flux around an unresolved 
proton, with more to come. Thanks to Oystein Alvestad. 

                •  
 

              • A new option has been included to dampen the growth of the diffractive 
cross sections, see ";?>Total Cross 
Sections.
                •  
 

              • A new method virtual int SigmaProcess::idSChannel() 
has been introduced. If overloaded to return a nonzero value then a 
2 → n process will appear listed as a 
2 → 1 → n one. 
That is, an intermediate resonance with the requested identity will be 
inserted in the event record, even without appearing in the calculation 
of the matrix element proper. Thanks to Noam Hod for idea and code.
                •  
 

              • A new method SigmaProcess::convertM2() has been introduced 
to optionally allow the SigmaProcess::sigmaHat() to return 
the squared matrix element rather than d(sigmaHat)/d(tHat) for 
 2 → 2  processes. Furthermore kinematics is stored in the new 
mME and pME vectors for alternative cross 
section encodings.
                •  
 

              • Different encoding of the f fbar → Z W cross section, 
contributed by Merlin Kole, based on the cross section of 
Brown, Sahdev and Mikaelian. Gives a distinctly different cross section 
than the previous based on EHLQ (including their bug fix). 
In particular the problem with negative cross sections is now fixed.
                •  
 

              • Minor updates: pass xmlPath to new MSTW and CTEQ PDFs; 
reset beams earlier to give cleaner documentation.
                •  
 

              • The H1 Fit B LO parametrization to the Pomeron PDF has been included, 
and made new default for Pomerons. Thanks to Paul Newman for providing 
the data files.
                •  
 

              • Three changes, in principle unrelated, but with the common objective 
to make the generation of a given event depend only on the values 
determined during the initialization stage and on the state of the 
random-number generator when the event is begun. The new default 
should ensure a reproducible stop-and-restart behaviour, convenient 
for debug purposes. Thanks to Michael Schmelling for stressing the 
desire for such a behaviour. 

                (i) Introduction of a new option ";?> 
PhaseSpace:increaseMaximum that allows to switch between 
two strategies for handling the (hopefully rare) cases when the 
assumed maximum of the cross section function is exceeded during the 
event generation, with a changed default behaviour. In the old 
default the maximum could be increased if it was exceeded during the run, 
thereby introducing a memory of the previously generated events. 

                (ii) Updated handling of random numbers with Gaussian distributions. 
The gauss() method now only generates one value at a time. 
Instead the new gauss2() method returns a pair of Gauss 
numbers, with related time savings. In the old approach one Gaussian 
number could be buffered, which introduced a memory. 

                (iii) Minor bug fix in MiniStringFragmentation, where 
the popcorn baryon state was not reset for each new system, again 
giving a (flawed) memory.
                •  
 

              • New directory rootexample with a simple code example 
how to use ROOT for histogramming in PYTHIA runs. See 
";?>ROOT Usage for details. Thanks to Rene Brun. 

                •  
 

              • In the HepMCinterface the checks for unhadronized 
quarks and gluons are not performed if hadronization has been switched 
off.
                •  
 

              • The UserHooks::initPtr(...) has been expanded so that 
pointers to more classes (beam particles, random number, couplings, etc.) 
are sent in, thereby increasing the scope of possible user-written code. 
Also, the UserHooks::doVetoProcessLevel(Event& process) 
now allows the process event record to be modified, 
even if it is not recommended. The new Info::pTnow() 
method returns the current pT scale of the combined MPI, ISR 
and FSR evolution, which can be useful for some user hooks decisions. 

                •  
 

              • Histograms of the Hist class can now be booked 
with up to 1000 bins, instead of the previous maximum 100. All bins 
can be written to file, but the line-printer style printing will join 
nearby bins so at most 100 are printed, as before.  
                •  
 

              • Updated configure and Makefile 
to allow 64-bit compilation and more options. Thanks to Mikhail Kirsanov, 
Rene Brun and Fons Rademakers.
                •  
 

              • Bug fix in ProcessLevel for colour flow checks of 
junctions. Enables the decay of a neutralino to three quarks, e.g. 
Thanks to Nils-Erik Bomark.
                •  
 

              • Bug fixes in TimeShower, where recoil partners in resonance 
decays of coloured particles, and recoil partners in QED dipoles when beams 
are not allowed to take a recoil, might not be correctly identified. 
                •  
 

              • Bug fix in SpaceShower: when used with a fixed 
alpha_strong, the threshold enhancement factor of 
g → Q Qbar became undefined. Thanks to Stefan Prestel.
                •  
 

              • Bug fix in initialization of resonance widths, where the 
minWidth parameter could be used uninitialized, 
occasionally resulting in strange initialization problems when 
kinematics needs to force at least one resonance to be off-shell.
                •  
 

              • Minor updates of main06.cc, main10.cc 
and main23.cc.
                •  
 

              • Bug fix in mother pointer of multiparton interactions in 
diffractive systems.
                •  
 

               

              •  
 

            • 8.142: 15 August 2010 

                 
 

              • The strategy for setting up tune values has been changed. 
Previously the Tune:ee and Tune:pp 
settings were only interpreted during the 
Pythia::init(...) stage. Now they are interpreted 
as soon as they are read. Specifically this means that it is 
possible to override any of the tune parameters by putting new 
commands below Tune:ee and Tune:pp 
in the Pythia::readFile(...) configuration file 
or in the list of Pythia::readString(...) commands. 

                As a consequence of this change, the public 
Pythia::initTunes(...) method has been replaced by 
two private Settings::initTuneEE(...) and 
Settings::initTunePP(...) methods. 

                If Tune:ee or Tune:pp are 
nonvanishing by default, then the corresponding tune variables 
are set also from the Pythia constructor, before any 
user changes are possible. Currently this is not relevant. 

                •  
 

              • Bug fix in the setup of the Tune:pp = 5 and 
= 6 options, which meant that diffractive cross 
sections were not reduced as advertised.
                •  
 

              • The default value of MultipartonInteractions:pT0Ref 
has been slightly reduced so as to give a somewhat improved 
default description. It is not intended as a replacement for the 
specific tunes, however.
                •  
 

              • Some comparisons between tunes and data, obtained with the 
Rivet package, have been posted on 
 
http://home.thep.lu.se/~richard/pythia81/. 
Further improvements can be expected from future Professor-based 
tunes. The current set of 2C, 2M, 3C and 3M "draft tunes" have 
deliberately been chosen different also to explore a range of 
possibilities. One not visible in the plots is the fraction 
of single and double diffractive events in the inelastic cross 
section. This is 32% in 2C and 2M, while it was reduced to 
21% in 3C and 3M, and a recent ATLAS study (ATLAS-CONF-2010-048) 
would suggest 28+-4%.
                •  
 

              • Minor changes in TimeShower and 
SpaceShower, as protection if the c or 
b masses are set small.
                •  
 

              • Bug fix in SpaceShower, for case when phi 
angle selection is biased to take into account interference effects. 

                •  
 

              • The SigmaProcess::convertM2() method now has 
been implemented also for 2 → 1 processes, so that it is 
possible to provide the squared matrix element instead of 
sigmaHat for semi-internal processes. A fixed-width 
Breit-Wigner is also inserted, since the matrix element is supposed 
not to include it.
                •  
 

              • New method SigmaProcess::setupForME() does an 
extended conversion from the internal kinematics to an almost 
equivalent one, better adapted to the mass conventions of matrix-element 
calculation programs, such as massive incoming b quarks. 
New flags allow to determine whether the c, b, 
mu and tau should be considered massless or not 
in the calculations.
                •  
 

              • Two new friend methods table of the Hist 
class allow to print a table with three columns, the first for the 
(common!) x values and the other two for the respective 
histogram values. A new method takeSqrt for the square 
root of histogram bin contents. 

                •  
 

               

              •  
 

            • 8.145: 10 November 2010 

                 
 

              • Couplings is defined in StandardModel.h 
as a derived class of coupSM and has only one extra flag: 
isSUSY to check presence of extra couplings.Changed all 
pointers CoupSM* to Couplings* and removed 
explicit references to CoupSUSY*. The coupSUSY 
object is only initialised if SUSY couplings are present. The new pointer 
couplingsPtr points either to only SM couplings or SM+SUSY 
couplings based on SLHA data.
                •  
 

              • New files SusyResonanceWidths.h/cc contains the 
SusyResonanceWidths class, which inherits from 
ResonanceWidths but typecasts the couplingsPtr 
to (CoupSUSY*) coupSUSYPtr.  This is the base class for 
all SUSY resonances. It contains the ResonanceSquark class 
for all squark decays. A new flag SLHA:useDecayTable 
to check if internal widths should be overwritten by those read in 
via SLHA.
                •  
 

              • Added new functionality to SusyLesHouches for read-in 
of generic user blocks in the SLHA format, along with methods to 
extract parameters from them with typecasting controlled by the user. 
Intended for use with user-written semi-internal processes.
                •  
 

              • Added Sigma1qq2antisquark cross section.
                •  
 

              • Some new flags and modes in the SUSY and 
SLHA series offer further functionality.
                •  
 

              • Several further changes as a consequence of the upgrade of the SUSY 
machinery.
                •  
 

              • Bug/typo fixes in rotation matrices for SUSY couplings and for the 
processes qqbar2squarkantisquark, 
qq2squarksquark and more.
                •  
 

              • Improved handling of colour junctions. Added new example program 
main72.cc, to illustrate read-in of color junction 
structures via LHEF (main72.lhe). The example used is SUSY 
with RPV.
                •  
 

              • New Tune 4C introduced as Tune:pp = 5. The more crude 
(non-)tunes 3C and 3M are removed.
                •  
 

              • New methods Settings::getFlagMap(...), 
Settings::getModeMap(...), 
Settings::getParmMap(...) and 
Settings::getWordMap(...) allows to return a map of all 
settings of the respective type that contain a specific string 
in its name. 

                •  
 

              • Improved description of excited g^*/KK-gluon^* production 
in the Sigma1qqbar2KKgluonStar and 
ResonanceKKgluon classes.
                •  
 

              • Possibility added to let Hidden-Valley gamma_v have 
a nonzero mass and decay by mixing with the ordinary photon. 
Still experimental.
                •  
 

              • Minor bug fix in handling of three-body phase space.
                •  
 

              • Minor correction in Sigma2ffbar2TEVffbar class.
                •  
 

              • Bug fix for decays of W' to a pair of heavy fermions when 
gV != gA. Thanks to M. Chizhov, see arXiv:0705.3944. 
                •  
 

              • Restore the older EHLQ-based encoding of the f fbar → Z W 
cross section, which was changed in version 8.140, since comparisons 
with Madgraph gives much better agreement with it than with the 
expression of Brown, Sahdev and Mikaelian.
                •  
 

              • The HepMCInterface now also stores colour flow 
information for coloured particles.
                •  
 

              • Pointer to Couplings made available for particle 
decays.
                •  
 

              • Minor update in main61.cc for more elegant usage 
of FastJet, as suggested by Gregory Soyez.
                •  
 

               

              •  
 

            • 8.150: 20 April 2011 

                 
 

              • Tune 4C is made default. It is based on first comparisons with 
LHC data [Cor10a], and has also been checked independently 
[Buc11] to give reasonable agreement with many distributions. 

                •  
 

              • The description of tau lepton decays has been significantly 
enhanced, to include helicity information related to the production 
process and hadronic currents fitted to data. A complete writeup is 
in preparation, while a summary can be found in [Ilt12]. 
A new flag is introduced to revert to the old behaviour, for 
cross-checks, see ";?>Particle Decays. 
The new tau decay machinery is on by default. 

                •  
 

              • A new option MultipartonInteractions:bProfile = 4 has 
been introduced for the impact-parameter profile of protons in the 
";?>Multiparton Interactions 
framework, wherein low-x partons are spread over a larger area 
than high-x ones, see [Cor11]. A new method 
Info::eMPI(i) gives back the enhancement factor related to 
the i'th interaction. The impact-parameter profile can now 
be selected separately for ";?>diffraction, 
but without a bProfile = 4 option. 

                •  
 

              • The possibility of "hadronization" in the 
";?>Hidden Valley sector 
has been added as a new option HiddenValley:fragment = on. 
This is based on a copy of the standard string fragmentation framework, 
but with the option of a completely separate "flavour" sector, and 
separately tunable longitudinal fragmentation functions and transverse 
momenta. For now only a simple flavour scenario is provided, where 
flavour-diagonal mesons can decay back into the normal visible sector 
while off-diagonal ones remain hidden. A writeup of the model is in 
preparation [Car11]. Also some further Hidden Valley options 
have been added.
                •  
 

              • Included possibility in TimeShower for QCD dipoles to 
have an adjustable normalization factor, via the new 
bool isFlexible and double flexFactor 
properties of class TimeDipoleEnd. This flexibility is used 
to treat radiation off colour topologies with epsilon tensors, in 
particular colour junctions which have all their partons in the 
final state. (An example is the BNV-SUSY decay ~chi0→uds.) For 
such topologies, the new treatment in PYTHIA 8 is that a 
half-strength dipole is spanned between all combinations of 
final-state quarks. For junctions with an incoming (anti)colour line (such 
as in the BNV-SUSY decay ~t*→cb), a full-strength dipole is 
instead spanned between the two daughters, with no radiation from the 
decaying object (in its CM). As will be described in a forthcoming 
paper with N. Desai, this should give the 
closest possible correspondence to the radiation patterns exhibited 
by higher-order matrix elements for this type of process.
                •  
 

              • Corrected harmless bugs in ProcessLevel::findJunctions 
which caused junctions of types 3 and 4 (i.e., junctions with 1 
incoming color tag) to sometimes be incorrectly classified as types 
1 and 2 (with all color tags outgoing), respectively. 
Since the parity (even/odd) of the junction kind was still correct, 
however, this did not cause any problems at the hadronization 
stage.
                •  
 

              • The junction-finder in ProcessLevel::findJunctions 
has been made more stable, and the following ordering of the color 
tags returned by Event::endColJunction(iJun, iLeg)  is 
now enforced: for junction kinds 3 and 4 (one tag 
incoming), iLeg = 0 will return the 
incoming tag, while for kinds 5 and 6 (two tags incoming), 
iLeg = 0 and iLeg = 1 will return the 
incoming tags. Apart from this ordering, the color tags are 
ordered in ascending color tag number.
                •  
 

              • Declarations of friend functions moved to sit outside the class 
it befriends. Thanks to Axel Naumann for pointing out the incorrect 
previous construction.
                •  
 

              • The rootexample subdirectory becomes 
rootexamples as the old example is split into two, 
with improved documentation to clarify usage. Thanks to Axel Naumann 
and Bernhard Meirose for the new code.
                •  
 

              • In the Les Houches Event File machinery, input type has been 
changed from ifstream to istream for more 
flexibility.
                •  
 

              • R-hadron  handling is largely implemented, see the 
";?>R-hadrons page, although some aspects 
still need polishing. A new class RHadrons takes 
care of the hadronization and decay. Particle data have been added 
for R-hadrons containing a gluino, stop or sbottom, but could 
alternatively be used for other long-lived coloured particles. 
Thanks to Bernhard Meirose for support. 

                •  
 

              • Calculations of SUSY decay widths included by 
  N. Desai, contained in the new source 
files SusyResonanceWidth.cc 
  and .h. Validation and addition of more modes is still in 
  progress, so this implementation should be considered preliminary 
  for now. For a list of available modes, see 
  the ";?>SUSY Processes page. 

                •  
 

              • A first implementation of the SLHA-based QNUMBERS interface for 
  defining new exotic particles has been 
  included. See [Alw07] and 
  the ";?>SUSY Les Houches Accord 
  page. 
                •  
 

              • Read-in of LHEF events containing Baryon Number Violating vertices 
  has been included, using colour junctions, see 
  the ";?>Event Record page. The advanced 
  shower model taking into account the full colour structure of such 
  events, developed by N. Desai and described above, 
  is turned on by default in such events. 
  Several test cases were used to 
  validate this implementation, but it is possible that problems could 
  still exist for some cases. Feedback is welcome. Thanks to 
  the MadGraph authors for providing several test cases.
                •  
 

              • Some first steps taken to allow events containing colour sextets, 
  e.g., from semi-internal processes or LHEF interfaces, and/or from 
  SLHA DECAY tables. New 
  colType codes 3 and -3 are introduced to describe 
  sextets and antisextets, respectively. The state of the current 
  implementation is that hard processes containing such states can be 
  read in and decays generated (via DECAY tables). Parton 
  showers can be added, but the sextets themselves do not, as yet, 
  shower, and any undecayed sextets remaining at the hadronization 
  stage would lead to unpredictable problems if hadronization is 
  switched on. Thanks to J. Alwall for help with testing 
  this implementation. 

                •  
 

              • The functionality of the SLHA SUSY/BSM interface (see 
  the ";?>SUSY Les Houches page) has been 
  extended so that copies of all BLOCKs are now stored 
  internally as 
  strings, regardless of whether they correspond to "official" SLHA 
  blocks or not. Their contents can subsequently be queried by a set 
  of new templated member functions of the 
  class SusyLesHouches. Available query functions so far 
  include 
  
                template <class T> bool getEntry(string, T&);, 
  
                template <class T> bool getEntry(string, int, T&);, 
  
                template <class T> bool getEntry(string, int, int, T&); 
  , and 
  
                template <class T> bool getEntry(string, int, 
  int, int, T&);, 
  
                where the type of 
  the argument used in the call determines how to read the block 
  entries. Thus, if an LHEF, SLHA, or other card file is read in by 
  PYTHIA, the contents of any BLOCK in that file can 
  subsequently be queried run-time using these functions. This is 
  used, e.g., in the new interface between MADGRAPH 5 and PYTHIA 
  8. Thanks to the MADGRAPH team, and to J. Alwall in particular, for 
  help and debug on this new implementation. 

                •  
 

               

              •  
 

            • 8.153: 10 August 2011 

                 
 

              • The setup of tunes has been modified, see the 
";?>Tunes page for details. Specifically 
the Tune:ee and Tune:pp modes have 
acquired a new option -1 for a forced restore to the 
default values of all settings used in the respective kind of 
tunes.
                •  
 

              • The code for handling multiparton interactions in the scenario with 
an x-dependent width of the Gaussian matter profile 
[Cor11], has been improved and updated. Tune 4Cx, which 
is based on this option, has been added as a further tune option.
                •  
 

              • A possibility to bias the phase-space selection has been added, 
whereby some phase space regions can be oversampled, which is 
compensated by assigning a weight to each event. 
A new set of methods have been added to the UserHooks 
class to allow users to program how to bias the selection.
                •  
 

              • New options added so that matrix-element corrections can be 
switched off after the first branching in ISR or FSR.
                •  
 

              • Some new Info methods have been added to store 
information on latest ISR branching.  The SpaceShower 
class has also been corrected so that the latest z = 1/2 
when not defined by history. This avoids undefined values for 
azimuthal asymmetries. Thanks to Stefan Prestel for finding and 
sorting out this problem.
                •  
 

              • The Pythia::forceHadronLevel() method now takes 
an argument that optionally means that existing junction information 
is not overwritten. Thanks to Leif Lönnblad for pointing out 
the usefulness of this.
                •  
 

              • For particle decays to a varying number of hadrons the multiplicity 
increase with mass has been somewhat reduced, and especially for 
meMode = 23 a separate even slower increase has been 
introduced.
                •  
 

              • New possibility to force the tau polarization.
                •  
 

              • Bug fix for the special case in which events containing SUSY 
particles are generated without proper initialization of SUSY decays. 
This can happen, e.g., if events containing SUSY particles are read 
in via external LHEF files, if those files do not contain readable 
SLHA spectra in their headers. In this case, a failed attempt to 
generate sparticle decays with ill-defined couplings previously 
led to crashes. The program now reverts to the old behaviour, 
based on static decay tables, in such cases, with the default 
being to decay all sparticles to gravitino + particle. An error 
message stating that the full SUSY treatment has been switched 
off and why is also issued. Thanks to N. Desai for this fix.
                •  
 

              • The R-hadron machinery has been completed.
                •  
 

              • Minor change in timelike showers: gluons which fall below the 
pTmin cutoff by the correction for mass effects are now 
eliminated, while previously they were kept. This reduces the 
number of gluons somewhat, but has no significant effects on the 
hadronic final state. (Prompted by R-hadron studies, where big mass 
effects else give bothersome low-energy gluons.)
                •  
 

              • Corrected typos in two of the Upsilon wave function matrix 
elements, Bottomonium:OUpsilon3P08 and 
Bottomonium:Ochib03P01. Thanks to Beate Heinemann for 
pointing it out.
                •  
 

              • Implemented f* decay angle in f f → f f* processes, 
and fixed some bugs for the same process. Thanks to Piyali Banerjee 
for tests.
                •  
 

              • Introduce possibility to separate production channels for 
TeV-sized extra dimensions, and a small code correction. Thanks to 
Noam Hod for code contribution.
                •  
 

              • Bug fix for neutrino beams: since neutrinos are always lefthanded 
there should be a factor 2 in the cross section, relative to charged 
leptons, from the non-need to average over incoming spin states. This 
is now fixed by introducing a new PDF class NeutrinoPoint 
for (unresolved) neutrinos, with normalization 2 rather than 1 for 
charged leptons. Thanks to Ryosuke Sato.
                •  
 

              • Bug fix for some (rarely used) particle settings, which could not 
be changed by users because they were read too early. Thanks to 
Andrew Altheimer and Gustaaf Brooijmans.
                •  
 

              • Bug fix in handling of tau decays, where setting of 
decay vertices could write outside memory. Thanks to Steven Schramm.
                •  
 

              • Minor expansion of the BeamParticle constructor.
                •  
 

              • Minor bug fix in CTEQ 6L for uninitialized variables.
                •  
 

              • Minor bug fix in fragmentation flavour combination to hadron.
                •  
 

              • Some updates of the documentation, including new pages on 
MadGraph 5 as a generator for semi-internal processes (thanks to 
Johan Alwall) and on RIVET interfacing.
                •  
  

              • Minor improvements of ROOT- and HepMC-related code and documentation.
                •  
 

              • Some cleanup of code.
                •  
 

               

              •  
 

            • 8.157: 10 November 2011 

                 
 
Stefan Prestel joins as new member of the PYTHIA author team. 
He is mainly working on matching/merging issues, and has contributed 
the CKKW-L machinery mentioned below. 
 

              • Merging capabilities according to the CKKW-L scheme [Lon11] 
have been added, see the new 
";?>Matrix Element Merging 
page. It involves new classes to reconstruct and select how a 
matrix-element-generated partonic configuration could have been obtained 
by the PYTHIA evolution, and to perform trial showers (using a new 
copy of the normal parton-level machinery) that introduce the appropriate 
Sudakov suppression factors. New examples to illustrate various 
common tasks are found in main81.cc, main82.cc, 
main83.cc and main84.cc.
                •  
 

              • The main71.cc program is now generalised for reading 
in arbitrary POWHEG LHE files, to implement a smooth matching between NLO 
matrix elements and the PYTHIA parton showers. Cuts are made on both 
ISR and FSR emissions, while previously only ISR was covered. The key 
assumptions are the pT definitions used for ISR and FSR, but several 
further options are available, as documented in the main71.cmnd 
file. Work is still ongoing to pick the best default options. 
                •  
 

              • Several expansions of the UserHooks class. 
For both doVetoFSREmission and doVetoISREmission 
a new argument iSys labels the system within which the 
radiation occurs. For doVetoFSREmission a further argument 
inResonance distinguishes FSR in resonance 
decays from that in the hard process itself. New methods 
canVetoMPIEmission and doVetoMPIEmission 
have been added to veto multiparton interactions in the same way as 
FSR and ISR. In biasSelectionBy at times incorrect values 
for inEvent has been corrected. Also some systematization 
of the use of const.
                •  
 

              • A new model for hadron scattering is introduced, still at an early 
stage and therefore more intended for internal development than for the 
normal user. The basic idea is that a high-energy pp collision 
involves the fragmentation of multiparton strings that overlap in space 
(and time). Also the produced hadrons therefore initially overlap, and 
there is a strong likelihood that hadrons can scatter against each other 
until the system has expanded sufficiently. This can e.g. increase the 
transverse momentum of heavier hadrons at the expense of lighter ones. 

                •  
 

              • A new jet finder SlowJet offers simple access to the 
inclusive kT, anti-kT, and Cambridge/Aachen 
algorithms in a cylindrical coordinate frame. The jet reconstruction 
is then based on sequential recombination with progressive removal, 
using the E recombination scheme. The minimalistic 
SlowJet code is much slower than FastJet 
[Cac06], and contains less options, but reconstructs the same 
jets if run under identical conditions. For details see the 
";?>Event Analysis page.
                •  
 

              • Starting in gcc 4.6, it is possible to switch off specific warnings 
around specific blocks of code. Although version 4.6 is some way off 
from being commonly found, this option has now been introduced to switch 
off -Wshadow warnings in HepMCInterface.cc. 
For other compilers, or earlier versions of gcc, the old behaviour 
is retained.
                •  
 

              • Support for reading in gzipped LHEFs has been added in the 
LesHouches and SusyLesHouches classes. 
This also affects configure and Makefiles. 
Unless explicitly enabled, it should not affect anything. 
If enabled, it relies on the Boost and zlib libraries to function, 
so paths to these must be set appropriately, see the 
README file for details. The Boost header files can 
give very many shadow warnings, so -Wshadow is disabled 
if gzip support is enabled, as described above.
                •  
 

              • Introduce use of the HEPMC_HAS_UNITS environment 
variable in the HepMCInterface.cc and main32.cc 
codes to automatically check whether GeV and mm can be set as relevant 
units. If yes, then it is set in main32.cc. If no, 
a conversion from GeV to MeV is done explicitly in 
HepMCInterface.cc. Note that, for early HepMC versions, 
this means a change of behaviour. Thanks to Andy Buckley.
                •  
 

              • A new method Info::lhaStrategy() returns the 
Les Houches event weighting strategy where relevant, and 0 where not. 
For the strategies +-4 the event weight and sum, 
Info::weight() and Info::weightSum(), 
is now in units of pb at output, as it should be at input. 
(While internally mb is used.)
                •  
 

              • New flag Check:abortIfVeto allows the user to 
resume control over execution in case of a veto in the event 
generation process.
                •  
 

              • New method Event::at(i) returns reference to 
i'th particle in the event record.
                •  
 

              • Introduce the Fermi constant as one of the Standard Model 
parameters.
                •  
 

              • Included automatic pre-initialization of SLHA blocks MASS and 
SMINPUTS using PYTHIA's SM parameters and particle data table 
values.
                •  
 

              • SUSY: added sleptons (and sneutrinos) as resonances. 
Corrected 2-body decay widths of gluinos, squarks and gauginos. 
Added sleptonic decay modes to gaugino decays. 
Implemented 2-body decays of sleptons (and sneutrinos) 
into sleptons/leptons/gauginos. Corrected slepton couplings (they 
now look exactly like squark couplings, using a 6x6 slepton mixing 
matrix).
                •  
 

              • New parameter Diffraction:probMaxPert introduce to 
give more flexibility in transition from a nonperturbative to a 
perturbative description of a diffractive system.
                •  
 

              • Bug corrected in SigmaEW.cc, for the process 
WeakSingleBoson:ffbar2ffbar(s:gm). Previously, all outgoing 
quark flavours in this process were erroneously assigned ID code 5 
(b quarks). This has now been corrected so the proper ratios are 
obtained, with u : c : d : s : b = 4 : 4 : 1 : 1 : 1, 
according to the squared quark charges.
                •  
   

              • Changes in FragmentationSystems and 
StringFragmentation to reject systems with three or more 
interconnected junctions. This may happen in baryon-number-violating 
scenarios in pp collisions, if both of the beam baryon junctions are 
resolved and get connected via an antijunction created by a 
hard-process BNV vertex. In principle, this could be addressed by an 
extension of the existing junction fragmentation framework. However, 
since it happens rarely, for the time being an error message is printed 
and the fragmentation restarted. 

                •  
 

              • Change in Event::copy to safeguard against attempting 
to copy out-of-range entries. An attempt to copy a non-existing entry 
will now return -1.
                •  
 

              • Bug fix in the machinery for the user to force the setting of 
tau polarization.
                •  
 

              • Bug fix in the initial search for a maximum of the process 
cross section (only affecting rare cases).
                •  
 

              • Corrected angular decay distributions for two compositeness 
processes, Sigma2qq2qStarq and 
Sigma2qqbar2lStarlbar.
                •  
    

              • Extra check in HiddenValleyFragmentation to make sure 
that pointers which have not been assigned with new are not 
deleted.
                •  
 

              • Some further minor changes.
                •  
 

               

              •  
 

            • 8.160: 23 January 2012 

                 
 

              • The older term "multiple interactions" has been replaced by the 
new standard "multiparton interactions" one, and correspondingly the 
abbreviation MI by MPI. This affects everything: settings, class and 
method names, documentation, etc. It therefore becomes necessary to 
rewrite user code. However, so as to keep the immediate effort at a 
reasonable level, the old settings names are kept as aliases. Thus 
PartonLevel:MI and PartonLevel:MPI are 
equivalent, and similarly MultipleInteractions:pT0Ref 
and MultipartonInteractions:pT0Ref. Should you be using 
methods such as double Info::pTMI(int i) you need to 
edit the code, however. All the example/main* files 
have been updated accordingly.
                •  
 

              • A new option Beams:frameType = 5 has been added 
for the case where an external generator should provide LHA process 
information. The new Pythia::setLHAupPtr(...) method 
should then be used to link in this generator. The new switch 
Beams:newLHEFsameInit can be used to tell that a new 
LHEF should be used, but without the need for a new initialization. 
With these two changes, all the different ways of initializing 
can be covered by the Pythia::init() call with no 
arguments. The various init(...)options with arguments 
are deprecated and will be removed for PYTHIA 8.2.
                •  
 

              •  The Pythia::stat() method, with no arguments, 
replaces Pythia::statistics(...), although the latter 
remains as a deprecated alternative.
                •  
 

              • New settings Init:..., Next:..., 
and Stat:... can be used to steer some details of 
the operation of the Pythia::init(), 
Pythia::next() and  Pythia::stat(), 
respectively. In particular it affects the amount of printout 
at the various stages of operation. See 
";?>here for further details. 
This change involves several code changes, but in documentation 
rather than physics. Most of the Main:... settings 
are deprecated as a consequence.
                •  
 

              • The sample main programs in the examples subdirectory 
have been updated. This includes a change to the new favoured 
methods and settings outlined above, plus some update of the 
physics contents. Some of the examples have been combined, 
some others have been added (e.g. for R-hadrons), and as a consequence 
some renumbering has been made. See the modified list of 
";?>sample main programs for 
the new status. In particular note that (the new) main61.cc 
allows streamlined input and output in HepMC, like main42.cc 
(previously main32.cc), but additionally links to LHAPDF. 
                •  
 

              • The examples/configure script has new optional argument 
--with-pythia8. It can be used to set the new 
PYTHIA8LOCATION environment variable, which then is used 
in examples/Makefile to give the path to the PYTHIA 
library. Thereby it becomes possible to relocate (parts of) the 
examples directory and still obtain the correct path. 
Thanks to Mikhail Kirsanov.
                •  
 

              • Polarization information has been included as a new 
Particle property, that can be set by 
void pol(double polIn) and obtained by 
double pol(). Default value is 9., 
in agreement with the Les Houches standard. Event listings have 
been expanded to optionally display this information. Currently 
polarization is not used internally.
                •  
 

              • The matrix element merging machinery has been modified as follows. 

                - Improved handling of the hard process, so that MadGraph5-produced 
LHE files do not produce problems (sometimes, the choices of MG4 on what 
to put into a LHEF have changed in MG5). 

                - Improved handling of colour for easier handling of states with 
many quarks (the code has been tested for states with up to 5 
q qbar pairs and some gluons). 

                - Improved checking which clusterings are allowed. Now, clusterings 
should immediately be rejected if they lead to unphysical states, 
without the need to explicitly construct these states. This was needed 
to get t tbar production, VBF and some simple SUSY processes 
running with reasonable generality. 

                - Improved handling of incomplete histories. Now there is an 
additional switch allowing code to try to swap some colours when fewer 
clusterings than requested have been found. 

                •  
 

              • Updates in the handling of graviton resonances in scenarios with 
extra dimensions. 

                - Now all G decays have correct angular distribution, which was not 
the case before for W/Z decays. 

                - Added the possibility for G to only couple to longitudinal 
W/Z bosons, which affects both the width and angular distributions. 

                - Added decays to Higgs pairs, G → hh. 

                •  
 

              • Bug fix in the findJunctions() function in 
ProcessLevel.cc. Changes introduced in version 
8.145 (to allow for junctions in baryon-number-violating 
processes) did not correctly handle the remapping of color 
tags that can be applied when adding beam remnants to events with 
multiparton interactions. A simpler and more stable algorithm is 
now applied for the simplest cases, with the more complex one only 
invoked for cases such as BNV, which are normally considered before 
remnants are added, hence avoiding this particular problem. Also some 
other changes in the handling of junction, including a safeguard to 
reject systems with three or more interconnected junctions.
                •  
 

              • Bug fix and updates to the SLHA interface. Possibility of infinite 
loop during ProcessLevel::initSLHA corrected. Modifications 
to SusyLesHouches to allow interpretation of SLHA1 spectra 
with R-parity violation. Rather than reject spectra that do not conform 
fully to the SLHA2 standard for RPV, the interface will now first look 
for SLHA1 mixing matrices and attempt to translate those into SLHA2 ones 
if possible. In this case, warnings that the expected SLHA2 blocks were 
not found will be printed. It is up to the user to check that the 
derived SLHA2 information is correct. Corresponding additions to 
SusyCouplings.cc to extract mixing-matrix information 
from the relevant SLHA2 RPV blocks when RPV is switched on.
                •  
 

              • Updated SLHA example main24.cmnd to use new example 
spectrum, cmssm.spc, corresponding to CMSSM point 
10.1.1, obtained with SOFTSUSY 3.3.0. Thanks to B. Allanach for 
providing the new spectrum file.
                •  
 

              • A new include/FastJet3.h header file simplifies 
interfacing of FastJet to Pythia. For details see documentation in 
the file itself. Thanks to Gavin Salam for this contribution.
                •  
 

              • The handling of diffraction has been made more flexible. 
Specifically the "total" Pomeron-proton cross section can now be made 
to depend on the mass of the diffractive system. This does not affect 
the diffractive cross section in pp collisions, which is set separately, 
but is used in the MPI machinery to affect the average number of 
interactions per Pomeron-proton collision. Furthermore, the allowed 
range for some parameters has been expanded. Thanks to Robert 
Ciesielski.
                •  
 

              • New method Pythia::forceTimeShower(...) can be used to 
generate a single final-state cascade from a set of partons, without 
any knowledge of prior history. This is mainly intended for toy studies. 
The meaning of the ProcessLevel:all switch has been modified 
so that this parton-level function is available, but not any others 
at this level. 

                •  
 

              • ATLAS tune A2 now included. Thanks to Deepak Kar for 
providing it.
                •  
 

              • Change in the handling of recoils of timelike showers in resonance 
decays, in cases of coloured resonances such as t → b W. In 
the first step the W always acts as recoiler to the b, 
but in subsequent step previously the W remained as recoiler to 
one dipole, while now all QCD-radiating partons recoil against another 
coloured parton. The old behaviour could give a (small) unphysical spike 
of radiation collinear with the colourless recoiler in the subsequent 
emissions (while the pattern of the first was and remains correct). 
The old behaviour can be recovered for checks, see 
TimeShower:recoilToColoured. 
Thanks to Yevgeny Kats for pointing out this issue (previously noted 
for Pythia 6 by several persons). 

                •  
 

              • Bug fixes for rootexamples/Makefile and restoration 
of some deleted information in rootexamples/README. 
Thanks to Axel Naumann and Bernhard Meirose.
                •  
 

              • Bug fix, so that displaced vertices are possible in resonance 
decay chains. Thanks to Daniel Blackburn and Andy Buckley for 
pointing this out.
                •  
 

              • Bug fix for Info counter 2.
                •  
 

              • Bug fix so that sextet quarks now are read in correctly from 
Les Houches Event files; previously the (anti)colours were set 
to 0.
                •  
 

              • Year updated to 2012 in copyright statements etc.
                •  
 

              • Reformatting to reduce the number of code lines with more 
than 79 characters.
                •  
 

              • Pythia::initSLHA() moved from public 
to private. 

                •  
 

              • Remove warning message when tau polarization is set by hand.
                •  
 

              • Several minor changes to reduce the number of warnings issued 
by the clang compiler. The origin of some warnings remains unclear 
so those remain to track down (could also be compiler bugs; note that 
we discuss warnings, not errors). Thanks to Randy MacLeod for bringing 
this up.
                •  
 

              • The worksheet has been updated to be in step with Pythia 8.160.
                •  
 

              • Several other minor corrections in the code and documentation.
                •  
 

               

              •  
 

            • 8.162: 12 March 2012 

                 
 

              • A new option allows for several partons to share the recoil in 
final-state radiation, see";?>Timelike 
Showers. It is mainly intended to be used in the context of 
matching to matrix elements, and so only to be used in the first 
few branchings.
                •  
 

              • Several new processes for LED dijet production, see 
";?>Extra Dimensions.
                •  
 

              • Small update of the Sigma2ffbar2LEDllbar and 
Sigma2ffbar2LEDgammagamma LED processes.
                •  
 

              • New Sigma2QCffbar2llbar 
";?>contact interaction 
process.
                •  
 

              • Inclusion of a new method in the 
";?>matrix-element merging 
framework to influence the construction of histories, e.g. to already 
in the construction of histories disallow paths that fail the 
2 → 2 cuts.
                •  
 

              • Further minor updates of the matrix-element merging code, 
mainly for improved clarity.
                •  
 

              • Minor bug fix in the handling of beam and event information fed 
in from an LHAup instance.
                •  
 

              • Minor bug fix for potential crashes from uninitialized variables 
for the merging machinery when merging is not used.
                •  
 

              • Updated History class for matrix element merging, 
also avoiding some compiler warnings.
                •  
 

              • Bug fixes in the handling of correlated mass choices in resonance 
decays, such as H → Z^*0 Z^*0.
                •  
 

              • Bug fix when the process-level execution is switched off, 
where Info::isResolved() could be called before its 
value was initialized. Thanks to Christian Pulvermacher 
for finding this.
                •  
 

              • Corrected matrix-element expression for mass selection in 
A^0 → Z^*0 Z^*0 and A^0 → W^*+ W^*-.
                •  
 

              • SM Higgs mass updated to 125 GeV and default width and branching 
ratios modified accordingly. Minor technical improvements of width 
calculation.
                •  
 

              • The usage of nested classes has been removed from 
SusyLesHouches, since it could give compilation errors 
on some platforms. The new class names begin with LH 
and all classes have been put inside the Pythia8 
namespace.
                •  
 

              • Minor Makefile updates. Thanks to Mikhail Kirsanov.
                •  
 

              • Minor changes to avoid some clang compiler warnings on the 
Mac OS X platform.
                •  
 

               

              •  
 

            • 8.163: 27 March 2012 

                 
 

              • New methods in the 
";?>Info class, 
id1pdf(), id2pdf(), x1pdf() 
and x2pdf(), to denote the partons for which parton 
distribution values have been defined. Previously this was assumed 
to agree with the incoming partons to the hard process, the same 
methods without the pdf qualifier. However, now the 
POWHEG approach offers a counterexample. Also the reading and 
handling of Les Houches (and other) events, and the interface 
to HepMC, has been modified accordingly. 

                •  
 

              • The decay of Higgs and top resonances read in from Les Houches 
Event files is now performed with angular correlations as for 
internal processes. LHE files should normally contain all process-specific 
resonance decay chains and, if not, decays are made isotropic. 
The H → WW/ZZ → f fbar f' fbar' and 
t → b W → b f fbar correlations are process-independent, 
however, and thus can be handled internally. If part of the decay 
chain has already been set, e.g. H → WW/Z> or 
t → b W, then the subsequent decays are still isotropic.
                •  
 

              • Updated instructions how to link to HepMC, 
in README.HepMC.
                •  
 

              • Bug fix in the turn-on of resolved diffraction for low 
CM energies. Thanks to Erwin Visser.
                •  
 

              • Bug fix in the handling of string junctions at very high energies, 
caused by numerical errors. Thanks to Erwin Visser.
                •  
 

              • Some other small changes, mainly aesthetics.
                •  
 

               

              •  
 

            • 8.165: 8 May 2012 

                 
 

              • The MBR (Minimum Bias Rockefeller) model for single, double and 
central diffraction [Cie12] is included as new option 
";?>Diffraction:PomFlux = 5. 
It is specifically intended for p p and pbar p 
interactions, and is currently the only option that also supports 
central diffraction. Thus the basic machinery for Central Diffraction 
(a.k.a. Double Pomeron Exchange) has now been implemented. 
See examples/main04.cc for an example. 
Thanks to Robert Ciesielski for contributing the new code. 

                •  
 

              • For a tau lepton in an external process, by default the 
SPINUP number in the Les Houches Accord now is interpreted as giving 
the tau helicity, and is used for its decay.
                •  
 

              • A tau coming from a W now defaults to being purely 
lefthanded when neither of the existing matrix elements apply.
                •  
 

              • Decay mode t → H+ b included as an option.
                •  
 

              • Four ATLAS tunes have been implemented as options for 
Tune:pp: A2-minbias-mstw2008lo, AU2-cteq6l1, AU2-mstw2008lo, 
and AU2-ct10. The new flag Tune:preferLHAPDF can be used 
to switch between the LHAPDF and the internal implementation of a 
PDF set, in cases where both are available.
                •  
 

              • Reorder libraries in examples/Makefile, specifically 
move LIBGZIP so that it is properly linked when used. 
Thanks to Erik Schnetter.
                •  
 

              • Minor modification so that LHAPDF can be used for PDFs in the hard 
process, with one of the built-in PDFs for the rest, even if LHAPDF is 
compiled so as to handle only one concurrent PDF set.
                •  
 

              • Bug fix, that ParticleDecays:mixB = off did not 
switch off B0 - B0bar and Bs0 - Bs0bar mixing. 
Thanks to James Catmore.
                •  
 

              • Bug fix for the handling of gluon polarization of initial-state 
radiation, where an anisotropic azimuthal distribution was inadvertently 
generated in some 2 → 1 processes. The update also includes 
always setting the second daughter zero for the two partons coming in to 
a hard 2 → 1 process. Thanks to Antonio Policicchio.
                •  
 

              • Bug fix, that the setting of the number of user hooks MPI steps did 
not use UserHooks::canVetoMPIStep() properly.
                •  
 

              • Some other small changes, mainly documentation and aesthetics.
                •  
 

               

              •  
 

            • 8.170: 21 September 2012 

                 
 

              • Streamline default behaviour and options for choice of GeV or MeV 
for output to the HepMC event format, see 
";?>HepMC Interface. 
Also set the mass of HepMC particles explicitly, rather than having 
it calculated implicitly. Thanks to James Monk and Andy Buckley.
                •  
 

              • The tau decay machinery has been further augmented with 
matrix elements and form factors for a variety of decay modes, such 
that all modes with a branching ratio above 0.1% are fully modeled. 
Several new classes and methods have been added to this end, 
Also, a tau pair coming from a Z^0 decay is now 
handled by assuming the Z^0 to be unpolarized when neither 
of the existing matrix elements apply. Taus coming from B baryons are 
handed as for B mesons.
                •  
 

              • Flavour violating decays have been added to the squark, gluino, 
neutralino and chargino decay tables.
                •  
 

              • Extend the UserHooks::subEvent(...) method so that it 
also works passably at the process level. Also new option for 
UserHooks::omitResonanceDecays(...).
                •  
 

              • New methods UserHooks::canVetoPartonLevelEarly() 
and UserHooks::doVetoPartonLevelEarly( const Event&) 
are intended to be used the same way as the existing ones without 
Early in their names, but allow veto right after 
the ISR + FSR + MPI evolution, before beam remnants are added and 
resonance decays are considered.
                •  
 

              • Central diffraction now available for all 
";?>PomFlux 
options, not only the MBR model. This has been constructed by analogy 
with the respective assumptions made for single diffraction, but 
includes some arbitrariness. Therefore the cross section is left 
easily rescaleable and, for backwards compatibility with tunes 
that does not contain it, easily possible to switch off, see 
the ";?>relevant section. 

                •  
 

              • Reading of ALPGEN parameter and event files has been added, 
see ";?>ALPGEN and MLM Merging. 

                •  
 

              • MLM matching has been added, as a first step for ALPGEN events, 
see ";?>ALPGEN and MLM Merging. 

                •  
 

              • The CKKW-L merging machinery has been upgraded in a number of respects. 

                - More thorough treatment of pp>bb~e+e-veve~ with 
additional b-jets. 

                - Corrected hard mu_r and mu_f choices for 
dijet and prompt photon. 

                - More ways to define a hard process, e.g. with the LEPTONS and 
NEUTRINO tags. The merging will understand LHE files for mixed processes 
(e.g. W+ and W- production together). 

                - More merging scale definitions. 

                - More freedom to generate all possible histories. 

                - Internal check (and cut) on Les Houches events in 
Pythia::mergeProcess if merging scale value of the events 
is below the value given to Pythia by setting Merging::TMS. 

                •  
 

              • It now works to have R-parity violating decays of R-hadrons, 
i.e. baryon number violation in a vertex displaced from the primary 
one.
                •  
 

              • The documentation of diffractive processes by the 
";?>Info 
methods has been expanded and corrected. This also include the 
list() method.
                •  
 

              • Particle masses and widths have been updated to agree with the 
2012 RPP values [Ber12]. Thanks to Piotr Zyla for data file 
and James Catmore for program to update the PYTHIA tables from this 
input.
                •  
 

              • New methods jetAssignment and removeJet 
added to the SlowJet class.
                •  
 

              • Introduce angular correlation in decay chain 
H → gamma Z0 → gamma f fbar. Thanks to Tim Barklow and 
Michael Peskin.
                •  
 

              • Introduce simple way to bias the selection of 2 → 2 
processes towards larger pT values, with a compensatingly 
decreasing event weight, see 
";?>Phase Space Cuts. Only offers a 
subset of the possibilities allowed by UserHooks, 
but simpler to use. The main08.cc program has been 
expanded to illustrate this possibility, and also expanded to 
include low-pT subsamples.
                •  
 

              • The two remaining non-NLO tunes from [ATL12] are now 
included.
                •  
 

              • The ";?>Info methods 
nTried, nSelected, nAccepted, sigmaGen and 
SigmaErr now takes the code of an individual process 
as an optional argument.
                •  
 

              • It is now possible to generate resonance decays, followed by 
showers and hadronization, without having them associated with any 
specific process. This is part of an expanded 
";?>Hadron-Level Standalone 
machinery, as before triggered by ProcessLevel = off, 
but additionally requiring Standalone:allowResDec = on. 
Input can either be directly into the event 
event record or via a (simplified) Les Houches Event File.
                •  
 

              • New configure script options --installdir, 
--prefix and --datadir can be used to set the 
location(s) to which the library, header and data directories 
will be copied by a make install subsequent to the 
make. Thanks to Mikhail Kirsanov.
                •  
 

              • Fix charge in antiparticle name when particle read in from SLHA 
file. Thanks to Johan Alwall.
                •  
 

              • Pointers now only compared with == and != (not e.g. > 0), to avoid 
warnings in gcc 4.7.
                •  
 

              • New check that version number of the code matches that of the 
XML files. If not, no events can be generated. Thanks to James Monk 
for suggestion.
                •  
  

              • New check that mother and daughter indices have been set to give 
a consistent event history. Can be switched on/off with the new 
Check:history flag.
                •  
 

              • A new method LHAup::newEventFile has been added to 
switch to reading in events from another LHE file without having to 
reinitialize the whole class. Lower-level routines like 
openFile and closeFile have been added to 
handle correct order of operations also when an intermediate gzip 
decompression step is involved.
                •  
 

              • LHAup::eventLHEF() can now be called with an optional 
argument false, to make event files somewhat smaller by 
reducing the amount of blanks.
                •  
 

              • A new mode Beams:nSkipLHEFatInit introduced to 
skip ahead the first few events in a Les Houches Event File (cf. the 
LHAup::skipEvent(nSkip) method).
                •  
 

              • Introduce a new pair of user hooks that can be used to reject 
the sequence of hard-process resonance decays, without rejecting 
the production of the primary resonances.
                •  
 

              • The possibility of separate multiplicative prefactors to the 
renormalization and factorization default pT^2 scale has been 
introduced for both timelike and spacelike showers.
                •  
 

              • Bug fixes in history information for R-hadron production, which also 
fixes HepMC conversion in this case.
                •  
 

              • Bug corrected in SigmaSusy.cc, for chargino+neutralino 
production. Indexing error for incoming quark states in the process 
Sigma2qqbar2charchi0, resulted in incorrect CKM factors.
                •  
 

              • Corrected a bug in SusyLesHouches.cc, for NMSSM spectra. 
The unitarity check on the neutralino mixing matrix was faulty, leading 
to erroneous messages about unitarity violations and SUSY being switched 
off.
                •  
 

              • Bug fixes in the handling of resolved and unresolved diffractive events. 
Thanks to Robert Ciesielski for debug.
                •  
 

              • Do not set up FSR dipoles for 2 → 1 processes.
                •  
 

              • Check that some channel open for resonance decays. Also further 
check whether resonance decay treatment should be invoked.
                •  
 

              • Bug fix in reading of particle names from SLHA input.
                •  
 

              • Change mass, width and decay mode(s) of D*_s(10431). Thanks to 
Michal Petran.
                •  
 

              • Bug fix in leptoquark production (lepton sign in 
q g → LQ l).
                •  
 

              • New argument added to SpaceShower::reassignBeamPtrs 
for diffractive event processing, as already available for 
TimeShower.
                •  
 

              • Do not write warnings in SpaceShower for weights 
above unity if the evolution scale is below 1 GeV^2.
                •  
 

              • Add default values for member variables in some constructors, 
and some related changes for AlphaStrong code.
                •  
 

              • Warn if negative-energy parton in hadronization.
                •  
 

              • The MPI pT values assumed in the beam remnant setting 
of primordial kT and colour reconnection probability were 
incorrect for diffractive events.
                •  
 

              • The arrays with MPI information were not reset when parton or 
hadron level fails and a new try is made. Only affected few events.
                •  
 

              • MPI statistics can not yet be accumulated for diffractive events, 
and therefore the relevant routine is no longer called.
                •  
 

              • Bug fix in the double parton scattering suppression from 
energy-momentum conservation.
                •  
 

              • Outgoing proton masses were not set in the event record for 
elastic scattering (but kinematics handling was correct).
                •  
 

              • Bug fixes in the identification and documentation of junctions, 
previously leading to some unnecessarily rejected events. Also 
other improvements leading to fewer errors.
                •  
 

              • Slightly increased values for FragmentationSystems:mJoin and 
StringFragmentation::FACSTOPMASS to reduce failure rate, without 
noticeably affecting event properties.
                •  
 

              • The Les Houches cross section error is now taken into account 
in the final Pythia error for strategies +-3.  New methods 
LHAup::xSecSum() and LHAup::xErrSum() 
provide the necessary information. 

                •  
 

              • When a tau pair comes from a massless photon, in dipole shower 
evolution, for the decay description the mother photon is reassigned 
to have the sum of the tau momenta.
                •  
 

              • Minor change in initialization sequence for user hooks, 
to allow for more flexibility.
                •  
 

              • Do not print warnings when multiparton interaction weights are 
only slightly above unity.
                •  
 

              • Do not write warnings for three known particles that are so close 
to threshold that widths are switched off to avoid trouble.
                •  
 

              • Some minor typographical changes.
                •  
 

               

              •  
 

            • 8.175: 18 February 2013 

                 
 

              • Richard Corke and Stefan Ask leave as active authors, and have 
new e-mail addresses.
                •  
 

              • Jesper Roy Christiansen and Philip Ilten join as new authors.
                •  
 

              • A severe bug found and corrected in the handling of junction 
fragmentation. For some string topologies it could lead to parts of 
partonic systems mainly aligned along the beam axis to obtain an 
effective tilt, thereby giving rise to a pair of opposing jets that 
should not be there. The bug was an unfortunate side consequence 
of the improvement of junction handling introduced in version 8.170, 
and do not affect versions prior to that. To the largest extent 
possible, it is recommended to avoid this version. Potential errors 
are likely to be most relevant for processes at low pT, 
whereas processes that already have a large scale proportionately 
are less affected. Sincere apologies, and thanks to Hannes Jung for 
discovering it.
                •  
 

              • The initialization is aborted when the user tries to change 
the value of a non-existing variable in the Settings or 
ParticleData databases, and it becomes impossible to generate events. 
This may be rather brutal, as opposed to the former policy of 
ignoring such commands (except for a warning), but avoids that 
the user wastes time on a run that is likely not to give the wanted 
results. Thanks to Gavin Salam for stressing this point.
                •  
 

              •  Major updates of the merging code. CKKW-L code is made more flexible, 
and now includes additional options to facilitate merging of additional 
jets in MSSM processes. Unitarised ME+PS merging (UMEPS) is introduced 
as a new merging scheme for tree-level input. An example main program 
for UMEPS is  added. UMEPS is documented in the new section 
";?>UMEPS Merging. 
NLO merging methods are now functional. Two NLO merging schemes are 
implemented: NL3 and unitarised NLO+PS merging (UNLOPS), 
both of which are illustrated with example main programs. NLO merging 
is documented in ";?>NLO Merging. 

                •  
 

              • The machinery for the MLM-style matching of jets has been 
expanded to cover input either from ALPGEN, as before, or from 
Madgraph (or other LHEF input), and expanded to cover either a 
matching algorithm based on the one in ALPGEN or the one in Madgraph. 
See ";?>Jet Matching for 
details.
                •  
 

              • Neutrons and antineutrons are now allowed as incoming 
beam particles. The neutron PDF is derived from the chosen proton 
PDF by simple isospin conjugation, and total/elastic/diffractive 
cross sections are assumed the same as for protons.
                •  
 

              • Update in Pythia.cc, to allow user to override 
SLHA mass values by hand, controlled by the new flag 
SLHA:allowUserOverride. This was motivated by people 
wanting to be able to read in a base SLHA spectrum and then quickly 
scan over particular mass values manually. Corresponding documentation 
update in SUSYLesHouchesAccord.xml.
                •  
 

              • Updates to the ResonanceWidths and 
SUSYResonanceWidths classes, to merge common 
initialization steps into the base class. Corresponding documentation 
update in SemiInternalResonances.xml. Also some cosmetic 
changes in SUSYResonanceWidths to improve conformity 
with CODINGSTYLE rules.
                •  
 

              • The SlowJet jet finder is updated with an option 
for an alternative R separation based on 
cosh(Delta y)-cos(Delta phi).
                •  
 

              • Statistics information on the separate subprocesses among 
the Les Houches external input is improved.
                •  
 

              • The sophisticated tau decay machinery has been expanded so that 
it can also handle production of taus in hypothetical 
lepton-number-violating processes, such as H0 → tau+ mu-. 

                •  
 

              • Branching ratios for most light hadrons, and the tau lepton, 
have been updated to agree with the 2012 Review of Particle Physics 
[Ber12], by Anil Pratap Singh.
                •  
 

              • Photon radiation can now be included in leptonic two-body decays 
of hadrons by setting the new switch 
ParticleDecays:allowPhotonRadiation = on. 
The lower shower cutoff TimeShower:pTminChgL has been 
reduced so as to let the simulated photon spectrum extend to lower 
energies. 

                •  
 

              • A new switch MultipartonInteractions:bSelScale has 
been introduced, to determine the relevant mass or pT scale 
of an event for the selection of impact parameter in the MPI 
framework. In spite of a changed default behaviour (the old being 
option 3), practical consequences are small for most processes. 

                •  
 

              • The new UserHooks::retryPartonLevel() method can be 
overloaded, so that the same hard process is reused for a new try 
on the parton level, rather than being rejected completely. 
Thanks to Christian Bauer for suggestion.
                •  
 

              • A new method Event::undoDecay(int i) can be used 
to remove the daughters of a particle, and further descendents. 
Does not work for removing the daughters of a parton.
                •  
 

              • The interface to HepMC has been updated. In particular 
the support for old version has been removed, thereby allowing 
significant simplifications. The list of methods to set and get the 
behaviour of the conversion routine has also been updated. The 
set_event_scale method now stores the renormalization 
scale (rather than the pT stored previously). 
The examples main41, main42, 
main61, main62 and main84 
have been updated accordingly.
                •  
 

              • Four new methods to interrogate the default values of the 
four different kinds of settings.
                •  
 

              • The Vec4 class has been expanded with methods to 
return true rapidity or pseudorapidity, and the R distance 
in (y, phi) or (eta, phi) cylindrical coordinates. 
Thanks to Andy Buckley.
                •  
 

              • The copy and = constructors of the Pythia class 
are made private so that compilers will block use of them. 
Thanks to Andy Buckley.
                •  
 

              • New option of the Pythia constructor, to omit 
the banner printout where necessary. Also new master switch 
Print:quiet to switch off most runtime program 
messages. Thanks to Andy Buckley.
                •  
 

              • Updates in the machinery that restores all affected values 
to their defaults before setting a new tune.
                •  
 

              • A new Vect class has been introduced for the 
";?>Settings database. 
It can be used to store a vector of double-precision real values. 

                •  
 

              • Three new groupings of existing QCD processes: 
SoftQCD:inelastic, HardQCD:hardccbar 
and HardQCD:hardbbbar. 
                •  
 

              • New possibility to set the a and b parameters 
of the Lund fragmentation function separately for heavy flavour. 
Especially the b is expected to be universal, but 
Aurelien Martens and Eli Ben-Haim have found improved fits by 
relaxing this condition, so we formalize this possibility without 
recommeding it.
                •  
 

              • Method Pythia::getPDFPtr is made public so it can 
be used also outside the Pythia class to access PDF 
sets. Internally the PDF bookkeeping is modified to allow for 
the simultaneous handling of several PDF sets. Thanks to 
Mathias Ritzmann for providing code changes.
                •  
 

              • It is now possible to read the separate scale values of all 
outgoing particles, if this info is stored as a single line in 
an LHEF, begun by a single hashtag character. This is currently 
nonstandard and may evolve.
                •  
 

              • Some improvements to the install targets code in the 
Makefile and error detection in 
examples/configure. Thanks to Mikhail Kirsanov.
                •  
 

              • The CC and FC global environment variables can be set to specify 
the C++ and Fortran 77/90 compilers, otherwise set in 
configure and examples/configure. 
Thanks to Mikhail Kirsanov.
                •  
 

              • Check of shell choice in configure removed. 
Thanks to Andy Buckley.
                •  
 

              • Minor modifications in the Makefile and text for Root examples, 
relevant if shared libraries are used.
                •  
 

              • Previously the whole std namespace has been made 
available in PythiaStdlib.h. Now this behaviour has 
been replaced by the already-existing alternative, where only a 
part of std is made available, and only inside the 
Pythia8 namespace. Thus user code does not become 
reliant on the choices in PYTHIA. Some related smaller code 
rearrangements. Thanks to Andy Buckley.
                •  
 

              • When the "second hard" machinery is used to set two hard processes, 
the old behaviour for the SpaceShower:pTmaxMatch = 0 and 
TimeShower:pTmaxMatch = 0 options was to use the combined 
final state of the two processes to decide what pT_max 
scale to use. This could have unexpected consequences. Now each process 
is analyzed separately, and therefore has a separate scale. Also 
for MultipartonInteractions:pTmaxMatch = 0 the two 
interactions now are analyzed separately. It is then enough that 
one of them should limit pT_max of subsequent MPI's for 
such a restriction to be imposed. Thanks to Monika Jindal for 
discovering this bug.
                •  
 

              • The TimeShower:pTdampMatch option had no effect if 
switched on, since some code was missing. The manual description 
of it and the more relevant SpaceShower:pTdampMatch 
has been updated.
                •  
 

              • One minor bug fix and some corrections to make the code compile 
on Windows/VisualC++-2010. A simple error function parametrization 
has been added to PhaseSpace.h and 
SigmaTotal.h, to be uncommented in case 
erf(x) is not available by default. Thanks to Guy Barrand 
for providing the information.
                •  
 

              • Break a closed dependency loop between ParticleData.h 
and ResonanceWidths.h. Thanks to Andreas Schaelicke and 
Andy Buckley.
                •  
 

              • In the examples/mainXX.cc programs, class instances 
that have been created with a new are explicitly 
deleted at the end of the run. Useful if trying to track 
memory leaks.
                •  
 

              • Bug fix for R-parity violating decays of R-hadrons, to treat the 
special case of sequential resonance decays after the RPV one. 
Thanks to Mariangela Lisanti for pointing out this bug.
                •  
 

              • Changed the maximum allowed value for Tune:pp. 
Thanks to Yevgeny Kats.
                •  
 

              • Bug fix in the z-value weight for QED ISR emissions.
                •  
 

              • Some destructors moved for improved consistency.
                •  
 

              • Constants DEBUG renamed DBSUSY in the 
SusyCouplings and SusyResonanceWidths 
classes to avoid confusion. Thanks to Guy Barrand.
                •  
 

              • Many typos corrected and some other minor improvements of the 
online documentation.
                •  
 

              • The year has been updated to 2013 in files.
                •  
 

               

              •  
 

            • 8.176: 18 April 2013 

                 
 

              • Introduce weak shower, whereby W^+- and Z^0 
gauge bosons can be produced interleaved with ordinary QCD and 
QED emissions. Currently only available for final-state radiation, 
and off by default, see 
";?>Timelike Showers. 
A new status code 56 denotes W^+- and Z^0 gauge 
bosons produced by the FSR parton showers.
                •  
 

              • The gauge bosons produced by showers decay at the end of the 
parton-level step. New identity codes 93 for a Zcopy 
and 94 for a Wcopy can be used to set the decay modes 
of shower-produced gauge bosons separately from hard-process ones, 
but do not appear in event listings.
                •  
 

              • The Particle class has been updated with a pointer 
to the mother Event class, replacing the previous pointer 
to the ParticleData class. Thereby several old methods 
in the Event class can obtain new equivalents for the 
Particle one. That is, a call event.method(i) 
instead can be written event[i].method(). The duplicated 
methods are statusHepMC, iTopCopy, 
iBotCopy, iTopCopyId, iBotCopyId, 
motherList, daughterList, sisterList, 
isAncestor and undoDecay. Omitted is 
sisterListTopBot, while sisterList obtains an 
optional argument. A new method index is introduced. 
The now redundant Event class methods will be removed in 
PYTHIA version 8.2. Thanks to Andy Buckley for suggestion. 

                •  
 

              • The initialization of SUSY couplings and particle data has been 
moved from the Pythia and ProcessLevel classes 
to a new dedicated SLHAinterface class.
                •  
 

              • Some SUSY 3-body decays have been implemented with Matrix Element 
weighting.
                •  
 

              • New method Info::scalup() returns the Les Houches 
SCALUP variable. This method is now used instead of 
QFac() in main31.cc, to set maximal scale for 
shower radiation in case that the event contains no POWHEG emission, and 
thereby sidesteps a potential bug when PDF information is provided in the 
Les Houches Event File. Also some default values have been changed in 
main31.cmnd. Thanks to James Monk.
                •  
 

              • New parameter LesHouches:mRecalculate can be used to 
prompt the recalculation of a particle mass from its four-momentum. 
This may be required for Les Houches input events where the nominal 
mass of the particle species is stored in the mass slot, rather than 
the actual mass of the current particle, as foreseen.
                •  
 

              • Extra checks that tracing of junctions in particular and partonic 
colour singlets in general are only performed when the event record 
contains coloured unhadronized partons. Thanks to James Catmore.
                •  
 

              • Minor correction related to GZIP support. Thanks to James Monk.
                •  
 

              • Recalculate the phase space of diffractive processes for each event 
when variable beam energies are allowed. Thanks to Oldrich Kepka for 
finding the bug.
                •  
 

              • Fix a bug whereby a gluon in diffractive systems would obtain a 
light-quark mass.
                •  
 

              • The Pythia::check() method can also check that each 
particle obeys E^2 - p^2 = m^2 (within numerical precision). 
Speed up the checks on mother-daughter history by streamlining the 
handling of simple cases.
                •  
 

               

              •  
 

            • 8.180: 20 September 2013 

                 
 

              • Nishita Desai joins as new author.
                •  
 

              • All the header files include/*.h have been moved to 
include/Pythia8/*.h to better comply with conventions 
in other libraries (* = generic name). Thus also all 
code lines #include "*.h" that refer to PYTHIA files 
have been changed to #include "Pythia8/*.h". Thanks to 
Andy Buckley for suggestion.
                •  
 

              • The class that converts PYTHIA events to the HepMC format 
is renamed from I_Pythia8 to Pythia8ToHepMC, 
the files where the class resides from HepMCInterface.h/.cc 
to Pythia8ToHepMC.h/.cc, and the subdirectory of the 
.cc file from hepmcinterface to 
pythia8tohepmc. This clarifies the role of the class 
and avoids potential future name clashes with other interfaces. 
Makefiles and example main runs have been modified accordingly. 
Thanks to Andy Buckley.
                •  
 

              • The configure/Makefile step has been extended such that a 
bin/pythia8-config script is constructed, to simplify 
subsequent linking of PYTHIA 8 and other libraries to your main 
program. See the README file for further instructions, 
the new "Compling programs against PYTHIA 8" section. 
Thanks to Andy Buckley for code and text.
                •  
 

              • The "minbias" event class has been renamed into the 
(inelastic) "nondiffractive" one, since the "minbias" denomination 
should be reserved for an experimental procedure. Needless to say, 
also the separation into diffraction or not could be made by 
experimental procedures, but here it is more generally accepted that 
there is an underlying theoretical description that takes precedence 
in cases of conflict. Thus the SoftQCD:minBias flag 
has been remaned SoftQCD:nonDiffractive, and the 
Info::isMinBias() method has been renamed 
Info::isNonDiffractive(). The old names have been retained 
as alternatives for now. Thanks to Andy Buckley.
                •  
 

              • Four PDF sets have been added from the NNPDF2.3 QCD+QED family: 
the central sets for LO with alpha_s(M_Z) = 0.130, 
LO with alpha_s(M_Z) = 0.119, NLO with alpha_s(M_Z) = 0.119, 
and NNLO with alpha_s(M_Z) = 0.119. 
Thanks to Juan Rojo and Stefano Carrazza for providing the code.
                •  
 

              • The fjcore version 3.0.5 code from FastJet 
has been included with the PYTHIA distribution. SlowJet now 
by default becomes a front end to fjcore, but the old 
behaviour is retained as an option. The new approach is faster, 
but the older one still offers a few extra possibilities. Note that 
the new useFJcore argument to the SlowJet 
constructor has been included as a new last-but-one argument, 
since the last one is likely to be used much more infrequently 
and logically depends on the value set for useFJcore. 
Thanks to Matteo Cacciari, Gavin Salam and Gregory Soyez for making 
the fjcore code freely distributable.
                •  
 

              • New method constituents(i) in FastJet 
returns a vector with the indices of the particles belonging to the 
i'th jet.
                •  
 

              • The global recoil option for final-state showers has been extended 
with a few more options to improve possibility for matching to 
output from other programs, such as aMC@NLO.
                •  
 

              • Further extensions of the weak-showering machinery, but still 
experimental. Now also includes W/Z emission in the initial 
state.
                •  
 

              • Introduce new qqbar option for 
SigmaProcess::inFlux() and update documentation.
                •  
 

              • Improve the description of meMode for resonances 
and illustrate how to force specific Higgs branching ratios in 
main16.cmnd.
                •  
 

              • Added two previously missing SUSY processes for associated 
production of a gluino with a neutralino or chargino: 
SUSY:qqbar2chi0gluino and 
SUSY:qqbar2chi+-gluino, using the cross section 
expressions in [Fuk11]. Validated against PYTHIA 6 and 
XSUSY.
                •  
 

              • Added direct slepton production from q qbar annihilation, 
SUSY:qqbar2sleptonantislepton. Validated against 
PYTHIA 6.
                •  
 

              • Corrected some slepton and squark EW couplings in 
SusyCouplings.
                •  
 

              • Generalized the cross section formulae for 
SUSY:qg2squarkgluino to the case of non-minimal flavor 
violation, using the expressions in [Fuk11]. Validated 
against PYTHIA 6 and XSUSY. The new implementation is compatible 
with both SLHA2 and SLHA1, whereas the older was only compatible 
with SLHA1.
                •  
 

              • Generalized the cross section formulae for 
SUSY:qqbar2gluinogluino to the case of non-minimal 
flavour violation, using the expressions in [Fuk11]. 
(Also corrected a factor 2 in that paper on the color factor for 
st and su interference terms.) The new 
implementation is compatible with both SLHA2 and SLHA1, whereas 
the older was only compatible with SLHA1.
                •  
 

              • Changed the default meMode for SLHA DECAY modes to 100, 
to allow off-shell decays. Enabled the user to choose a different 
meMode if desired, via a new mode, SLHA:meMode. 
If values different from 100 are selected (e.g., 103), modes that are 
extremely far off shell (defined as needing a fluctuation of more than 
100 times the root-sum-square of the widths of the mother and daughter 
particles) will still default back to 100, though the user may of course 
still switch them off if so desired. Added documentation about this in 
SusyLesHouchesAccord.xml. Deleted the parameter 
SLHA:minDecayDeltaM, which would prevent the possibility 
of off-shell decays unless set to a large negative value.
                •  
 

              • Added calculation of decay lengths to SLHA DECAY modes.
                •  
 

              • Updated documentation of SUSY processes and SLHA-related 
parameters. Additional reference to the new cross sections included in 
the bibliography.
                •  
 

              • Allow six-flavour running of alpha_s above the top threshold, 
and implement option with CMW rescaling of the Lambda values, for use 
in coherent showers.
                •  
 

              • The merging code has been updated, with corrected handling of massive 
partons. This amends problems in tt̄, and makes clusterings of 
massive emissions W, Z, ~g possible. The bookkeeping for the hard 
process has been upgraded to accommodate more general BSM processes. The 
treatment of incomplete histories has been upgraded, so that histories which 
allow for at least one clustering will be used in the unitarisation. Also, 
states that do not allow for any clustering will not be subject to the 
(internal, optional) cut on the input events any longer, to guarantee full 
phase space coverage. This is important for processes for which a 
non-negligible fraction of states lead to incomplete histories, e.g. 
tt̄W production. Further, functionality for reclustering 
FSR off SUSY particles has been added. A new setting allows more easily 
to switch between 4-flavour and 5-flavour merging schemes.
                •  
 

              • The main85.cc - main88.cc have obtained 
support for zipped LHE input files, and have nicer printing of the 
inclusive cross section at the end.
                •  
 

              • Introduced new mode LesHouches:setLifetime so that 
the lifetime information in Les Houches input can be replaced by 
the standard PYTHIA selection procedure. By default this is applied to 
tau leptons, since some matrix-element generators do not set 
this lifetime. Thanks to James Monk and Thorsten Kuhl.
                •  
 

              • A new examples/main46.cc illustrates how to write a 
ProMC file with PYTHIA events. Thanks to Sergei Chekanov.
                •  
 

              • The Vect class has been renamed PVec 
and a new MVec class has been introduced along the same 
lines, see the ";?>Settings database. 
They can be used to store a vector of double-precision real or integer 
values, respectively, i.e. of parms or modes, hence the names. 
Thanks to Abram Krislock.
                •  
 

              • Two new vectors of integers SUSY:idVecA and 
SUSY:idVecB have been introduced to allow a more flexible 
selection of final states in SUSY processes, see the 
";?>SUSY process selection page. 
The selection machinery has been expanded to cope. 
Thanks to Abram Krislock.
                •  
 

              • New switch PartonLevel:earlyResDec to give 
first simple option where resonances are allowed ro decay before 
colour reconnection and beam remnants are added.
                •  
 

              • Renamed the mass(...) methods to mSel(...) 
in the Particle, ParticleData and 
ParticleDataEntry classes, to avoid users mistaking 
Particle::mass() for Particle::m().
                •  
 

              • Fixed a missing (unused) argument in some derived classes when 
the mRecalculate parameter was introduced in Les Houches 
code in version 8.176.
                •  
 

              • Removed several unused class variables from header files, based 
on new compiler information.
                •  
 

              • Fixed a bug in Sigma2ffbar2HposHneg, where 
int(...) was used instead of abs.(...). 
Thanks to Vittorio Zecca.
                •  
 

              • Fixed missing re-initialization of Breit-Wigner mass generation 
parameters for externally set new resonance widths. 
Thanks to Vittorio Zecca.
                •  
 

              • Fixed several places where division by zero or adressing of 
arrays out-of-bounds could occur. While some were trivial, others 
revealed underlying errors, notably in the handling of some SUSY 
processes and resonances. New checks against unphysical SLHA input 
have been implemented. Also some bug fixes in the new weak-shower 
ISR component, the sphericity analysis, the event undo-decay option, 
and more. Thanks to Vittorio Zecca.
                •  
 

              • Bug fix in the tau decay description for decay chains like 
H0 → A0 A0 → 4 tau, caused by an erroneous assignment of 
the number of spin states. Thanks to Brock Tweedie.
                •  
 

              • Add setting of some TimeShower variables that might 
remain uninitialized. Thanks to Christian Pulvermacher. 

                •  
 

              • Extra check in TimeShower for incoming massive 
particles, where a recalculation of kinematics to an equivalent 
massless case could give a slightly negative effective dipole mass 
(with endpoint masses subtracted). Thanks to Paolo Torrielli. 

                •  
 

              • Updated manual on how to implement new showers, mainly detailing 
new optional method arguments. Thanks to Mathias Ritzmann. 

                •  
 

              • Corrected bug in SigmaSUSY which caused flavour violating 
slepton production (for R-parity conserving cases too).
                •  
 

              • Corrected bug in SusyCouplings where tan(beta) 
was not read from LHA file for RPV spectrum.
                •  
 

              • Modified the contact interaction term normalization of the 
f fbar → l lbar process to agree with the one used in 
PYTHIA 6. Documentation of the ContactInteractions:Lambda 
updated to reflect this. Thanks to Daniel Hayden.
                •  
 

              • Introduced copy constroctor for the Event class.
                •  
 

              • Reset the Higgs mass range when its mass is changed in 
examples/main14.cc.
                •  
 

              • Remove obsolete examples/main91.cc and associated 
Makefile code. 

                •  
 

              • Catch cases where junction topologies are sent to the ministring 
machinery, which is not set up to handle it, and therefore could 
give segmentation faults. Very rare.
                •  
 

               

              •  
 

            • 8.183: 23 January 2014 

                 
 

              • A potentially severe bug has been found in version 8.180, 
in that by mistake the SpaceShower:vetoWeakJets, 
SpaceShower:dopTDampMass, TimeShower:dopTDampMass 
were given a default on value rather than off. 
Its main effect is to reduce the emission of two or more hard 
jets for processes 221 and 222, i.e. gamma^*/Z^0/W^+- 
production: implicitly it thereby also softens the pT 
spectrum of the gauge boson. Other processes should be unaffected.

                •  
 

              • The emission of W and Z weak gauge bosons in 
ISR and FSR parton showers is now fully implemented [Chr14]. 
Note extra optional arguments for a few TimeShower and 
SpaceShower methods.
                •  
 

              • The worksheet, intended to help beginners get going, has been
updated and expanded. Notably with new exercises on CKKW-L merging 
and Higgs production and decay. Also some new comments on platform 
requirements and how to meet them. An examples/main80 
program has been added for the merging exercise.
                •  
 
 

              • The LO PDF sets in the NNPDF2.3 QCD+QED family are now valid down to 
Q^2 = 1 GeV^2, the NLO and NNLO sets are positive definite, 
and all go down to x = 10^-9. Grid file names have been updated 
to agree with the LHAPDF ones. New main54.cc test program. 
Thanks to Juan Rojo and Stefano Carrazza for the updates.
                •  
 

              • Three new ";?>e^+e^- tunes to some 
LEP data, one by Peter Skands and two by Nadine Fischer. Also the
more comprehensive ";?>Monash 2013 tune 
[Ska14], which covers both e^+e^- and 
pp/pbarp data.
                •  


              • Some moderate changes in the merging machinery, as follows.
Added the D-parameter of the kT measure as an input. Added 
flag to not remove states with incomplete histories from NLO input 
(normally, these are taken from tree-level samples instead). This is 
necessary for a correct treatment of inputs with "diagram subtraction", 
as is e.g. needed for the definition of p p → tW.
Updated the bookkeeping of the hard process in the merging again, so
that the "hard process candidates" are not switched around too often.
Updated the main files with proper header for the standard
access( string, F_OK) function.
                •  
 

              • Changed status code for partons in the hardest interaction of
the SoftQCD processes, from being in the 30'ies range
to being in the 20'ies range. Thus a nondiffractive event is always
set to have one 20'ies hard interaction. Diffractive events can have
zero, one or two hard interactions, the latter possible only for 
double diffraction. A low-mass diffractive system need not contain
any perturbative interaction, but a nonperturbatively kicked-out
quark or gluon is defined by the new 24 status code.
                •  
 

              • New flag HiggsSM:NLOWidths, on by default, enables
rescaling of the internal PYTHIA partial widths of the SM Higgs 
to the values recommended by the LHCXSWG.
                •  
 

              • New possibility to pick a fixed factorization scale for ISR 
(and also for FSR) for debug purposes.
                •  
 

              • New processes for s-channel exchange of a gamma^*/Z^0 
or W^+-, written as 2 → 2 processes, whereas the 
already existing processes separate production and decay of a resonance. 

                •  
 

              • New parameter StringZ:aExtraSQuark allows an optional 
softening in hadronization for strange quarks.
                •  
 

              • New method vector<int> Info::codesHard() returns a 
vector of the hard-process codes set up for current run.
                •  
 

              • New optional extra argument for the Hist::table methods 
allow output of underflow and overflow. Thanks to Mathias Ritzmann.
                •  
 

              • Two extra safety checks for the Event class. 
Thanks to Mathias Ritzmann.
                •  
 

              • Allow a leptoquark also to couple to the top quark. Thanks to 
Katherine Leney.
                •  


              • Updated problematic return statement in JetMatching.h.
Thanks to Simon de Visscher.
                •  
 

              • New addresses for Nishita Desai and Philip Ilten.
                •  
 

              • Changes in TimeShower, (Susy)ResonanceWidths, 
SigmaProcess and other classes to avoid undefined variables. 
Thanks to Vittorio Zecca.
                •  


              • Major cleanup of code and documentation files: replace tabs, remove 
blank characters at the end of code lines, keep one blank character at the
end of documentation lines, restrict to a maximum of 79 characters per line
wherever feasible, and update year to 2014.
                • 
 

               

              •  
 

            • 8.185: 15 March 2014 

                 


              • Bug found in the handling of ISR in diffractive systems,  whereby the 
maximal scale of shower emissions was set to  the mass of the diffractive 
system, rather than the pT of the hardest interaction. This bug 
was introduced in version 8.183, when the status code of the hardest MPI 
was changed, and notably gave too many high-pT particles, and 
also a bit too high multiplicity. In versions up to and including 8.180, 
instead the pT of the second MPI was not strictly limited by the 
pT of the first, which also gave an overestimate, but smaller.
                •  
 

              • Added the FxFx matching and shower-kT matching schemes as new options,
see ";?>Jet Matching. Still under validation,
though. Part of the new code is contributed by Simon de Visscher.
                • 


              • A number of minor improvements of the merging machineries for 
increased flexibility, including removed hardcoded maximum number of jets, 
updated bookkeeping to allow for a event-by-event definition of the 
hard process for merging, removed incomplete histories warning, small 
change in mass treatment for reclustering, and more. Also removed internal 
setting of K factors for main88.cc.
                •  


              • New documentation on the 
";?>POWHEG Merging implemented in 
examples/main31.cc.
                •  


              • Higgs particle names (re)simplified to MSSM standard. New 
SLHAInterface code added to reset the names appropriately 
(SLHA2 conventions) when in the NMSSM, CPV or RPV scenarios. PDG codes 
45 and 46 reserved as placeholders for further Higgs states.
                • 
 

              • SUSY decay channels now have meMode = 0, except those to 
Gravitinos, for which no code has been implemented (they stay 103). 
By default, the width of SUSY particles is formally set to 1.0,  but all 
decay channels start out with zero branching fractions. The proper BRs 
should then be calculated by PYTHIA, and/or read in via SLHA decay tables,
and/or set by hand by the user.
                •  


              • Expanded SLHA input support for NMSSM type models, plus a few 
further minor SUSY improvements and fixes.
                •  


              • Significant extensions to the 
";?>charmonium and bottomonium 
machineries, as follows.

                Many more colour-octet states, according to a new labelling 
convention 9 9 n_Q n_state n_r n_L n_J, where n_Q is 
the flavour of the state (4 or 5),  n_state is 0 for 3S1, 
1  for 1S0 and 2  for 3PJ states, while n_r, n_L 
and n_J are the same as in the PDG convention. They are
assigned masses 10 MeV above the respective colour singlet state.

                Data on processes which only differ by the radial excitation 
number n_r are grouped into vectors for on/off switches 
and long-dinstance matrix elements, but share the same process code
and short-distance matrix elements. This grouping involves some upgrades 
to the cross section bookkeeping machinery.

                Matrix elements for 3DJ processes are now implemented.

                The mass splitting between all colour octet and singlet state pairs 
can be set by one common parameter.

                •  


              • Introduce new switch TimeShower:weightGluonToQuark that 
allows a few alternative approaches to set the g → q qbar 
branching rate, notably for heavy quarks, and similarly for 
gamma → f fbar. Associated scale-setting freedom regulated
by new TimeShower:scaleGluonToQuark parameter.

                •  


              • New/improved capabilities to accept LesHouches input of events
without any incoming beams, e.g. for resonances with decay chains, 
where PYTHIA should add showers and hadronization, see
";?>Les Houches Accord and 
";?>Hadron-Level Standalone.
The Standalone:allowResDec switch is removed and its 
functionality largely taken over by the 
ProcessLevel:resonanceDecays one.
                •  


              • New possibility to comment out a section of lines in a command file,
when read in by Pythia::readFile(...). The first line of 
the commented section should begin by /* and the last
begin by */. Best is to keep them on separate lines,
optionally followed by comments, but no commands.
                •  
 

              • A new FVec class has been introduced to store a vector 
of flags, see the ";?>Settings database.

                •  


              • Minor update in configure to be used by
pythia8-config. Thanks to Andy Buckley.
                •  


              • Minor update in the configure options for FastJet.
                •  


              • Minor update of the Monash 2013 tune.
                •  


              • In the joining of nearby partons, q + g → q , 
in preparation of the hadronization step, it is ensured that the quark 
mother is listed as mother1(), even when this is not the
order of the mothers in the event record.
                •  


              • The histogram table printing routines have acquired a new argument
that allows the x value at the beginning of each bin to be
printed, instead of the midpoint one.
                •  
 

              • Implement (some of the) functionality of the doForceWidth 
switch for resonances, that has been missing so far, and improve the
documentation thereof. Thanks to Xiaohu Sun.
                •  


              • Update some of the hadron-level code to handle several
junction-antijunction topologies in a single event.
                •  


              • Bug fix for MPI's with an x-dependent impact parameter profile
(bProfile = 4) and the factorization scale of a hard process as 
the maximal scale (pTmaxMatch = 1), that this maximum was not
respected, so that an MPI could be harder than the hard process.  
Thanks to Stefano Camarda.
                •  


              • A few minor bug fixes in the new weak-shower machinery.
                •  


              • Minor fix in the setting of the pointer of a particle data entry to 
the full particle data table.
                •  


              • Some other minor fixes.
                •  
 

               

              •  
 

            • 8.186: 8 July 2014 

                 


              • A new user hook to help experimentation with colour reconnection,
in particular in relation to resonance decays.
                •  


              • New set of parameters StringFlav:probQQ1toQQ0join,
used to pick diquark spin when two already produced quarks are to be
joined into a diquark.
                •  


              • Possibility to map the bookkeeping of exotic unresolved incoming 
beams in Les Houches event files onto neutrino beams, see
LesHouches:idRenameBeams. Primarily intended for dark matter 
annihilation. Thanks to Leila Ali Cavasonza and Jiang-Hao Yu.

                •  


              • A correction to the graviton (G^*) + parton hard processes 
(5003-5005) to account for off-shell G^* production. 
The previous formula assumed the graviton was on-shell and could 
greatly overestimate the low-mass tail of the G^*.
                •  


              • Bug fixes in examples/JetMatching.h, for uninitialized
boolean, and number of partons to match for heavy flavour handling. 
The former bug was introduced with the new matching schemes in version
8.185 and affected matching to ALPGEN, since no events were rejected.
Thanks to Chris Brust.
                •  


              • Differentiate the reading of ALPGEN masses, so that vanishing 
c or b masses in ALPGEN are not unwittingly used
where inappropriate. Also protect the c and b masses 
from being set too low in TimeShower and 
SpaceShower, so that flavour thresholds are not messed up.
                •  


              • Reduce number of maximum violation warnings in SpaceShower 
by leaving some headroom for branching weights.
                •  


              • Bug fix that hasVetoed in Pythia.cc was not
reset correctly in some specific cases. Thanks to Christian Bauer and
Calvin Berggren.
                •  


              • Bug fix in PartonLevel.cc where a reference could become invalid.
Thanks to Thomas Rössler.
                •  


              • Improvements and bug fixes in junction handling.
                •  


              • Bug fix to not reuse colour indices in double diffraction.
                •  


              • Bug fix in the calculation of the average mass threshold of 
open decay channels of a resonance. Reduced 
ResonanceWidths::MASSMIN parameter value.
                •  


              • Correct typo in left-right symmetry documentation. Thanks to 
Nady Bakhet.
                •  


              • Some other minor fixes. Thanks to Pere Mato for two of them.
                •  


               

              •  

             
 


 
 
pythia8-8.1.86.orig/phpdoc/RIVETusage.php0000644000175000017500000000713712357553536016271 0ustar  sunsun

RIVET usage






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            RIVET usage
             
 
RIVET is a toolkit for 
the validation of Monte Carlo event generators [Buc10]. It 
contains the results of many experimental analyses, so that generator 
output can easily be compared to data, as well as providing a framework to 
implement your own analyses.  Although using PYTHIA with RIVET is not 
officially supported, some helpful hints are given below. The full RIVET 
manual is available online. 
 


             

            Using PYTHIA with RIVET
             
The following assumes that you already have RIVET installed. Instructions 
for this may be found 
 
here. 
 


             
Events are passed from PYTHIA to RIVET using the HepMC format. PYTHIA must 
be compiled with HepMC support, using the same version of HepMC used when 
compiling RIVET. This is setup through the PYTHIA configure 
script e.g. 

             
  ./configure --with-hepmc=/path/to/HepMC --with-hepmcversion=HepMC.version.number 

             
The PYTHIA library itself does not need to be recompiled. 
 


             
The examples/main42.cc sample program can then be used to 
generate events in HepMC format (which examples/main61.cc 
and examples/main62.cc extends by allowing LHAPDF usage 
and subruns). When in the examples directory, the main program 
can be built and used as follows 

             
  make main42 
  ./main42 main42.cmnd main42.hepmc 

             
The first argument is the input file which provides the options for event 
generation, while the second is the output file where the HepMC events 
should be written. 
 


             
This HepMC file may now be read and processed by RIVET 

             
  rivet --analysis=ANALYSIS_NAME main42.hepmc 

             
where ANALYSIS_NAME is a 
built-in RIVET 
analysis, or one you have created yourself. The output of RIVET is in 
the form of .aida files, containing the histograms for the 
analysis, which can be processed further with RIVET (see the 
 
RIVET documentation for more details). 
 


             
The above examples requires that (potentially large) HepMC events are stored 
to disk before being read by RIVET. It is possible, instead, to pass the 
events directly to RIVET as they are produced by using a FIFO 
pipe. This is done with the mkfifo command 

             
  mkfifo my_fifo 
  ./main42.exe main42.cmnd my_fifo & 
  rivet --analysis=ANALYSIS_NAME my_fifo 

             
Note that main42 is run in the background. 
 


 
 
pythia8-8.1.86.orig/phpdoc/pythia32.gif0000644000175000017500000000337512357054755015773 0ustar  sunsunGIF89a  çÿ	



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pythia8-8.1.86.orig/phpdoc/AdvancedUsage.php0000644000175000017500000002736012357553536017045 0ustar  sunsun

Advanced Usage






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Advanced Usage
             
 
On this page we collect information on a number of classes that 
the normal user would not encounter. There are cases where the 
information is essential, however, for instance to 
";?>implement your own showers. 
 

            The subsystems
             
 
One aspect that complicates administration is that an event 
can contain several subsystems, each consisting of one MPI and its 
associated ISR and FSR. To first approximation these systems are 
assumed to evolve independently, but to second they are connected by 
the interleaved evolution, and potentially by rescattering effects. 
The partons of a given subsystem therefore do not have to be stored 
consecutively. 
 

             
The PartonSystems class is primarily used to keep track 
of the current positions of all partons belonging to each system, 
represented by the index iPos for a parton stored in the 
event-record slot event[iPos]. With "all" we mean the 
currently defined two incoming partons, or none for a resonance decay, 
and the current set of outgoing partons, but with all ISR and FSR 
intermediate-state partons omitted. That is, it stores all partons 
that could be subject to some action in the next step of the 
combined MPI/ISR/FSR/BR description. As a special case, an outgoing 
parton is stored even if it undergoes a rescattering, and thus no 
longer belongs to the final state proper. 
 

             
The partonSystems instance of PartonSystems 
class is a public member of the Pythia top-level class, 
but is also available as a pointer partonSystemsPtr in 
various PartonLevel classes, e.g. inside the current 
instances of the TimeShower and SpaceShower 
classes. 
 

             
A number of PartonSystems methods can be used to set or 
get information on the subsystems: 

               

            • clear() resets all the contents in preparation for the 
next event. 

            • addSys() add a new (initially empty) subsystem to the 
current list and return its index iSys in the list, 
where index 0 is the hardest subcollision and so on. 

            • sizeSys() the number of separate subsystems.
              •  

            • setInA(iSys, iPos), setInB(iSys, iPos) store position 
iPos of the incoming parton from beam A or beam B to the 
iSys'th subcollision. These values are 0 initially, and 
should so remain if there are no beams, such as in resonance decays. 

              •  

            • addOut(iSys, iPos) store position iPos 
of a new outgoing parton in the iSys'th subcollision, 
by appending it at the end of the current vector, with beginning in 
slot 0.
              •  

            • setOut(iSys, iMem, iPos) store position iPos 
in the iMem'th slot in the vector of outgoing partons in the 
iSys'th subcollision. Here iMem must be in 
the range already constructed by addOut calls. 
              •  

            • replace(iSys, iPosOld, iPosNew) replace the existing 
incoming or outgoing parton position iPosOld by 
iPosNew in the iSys'th subcollision.
              •  

            • setSHat(iSys, sHat) set the invariant squared mass 
sHat of the iSys'th subcollision.
              •  

            • hasInAB(iSys) true if an incoming parton has been set 
for beam A or beam B (and hence should have been set for both) in the 
iSys'th subcollision, else false.
              •  

            • getInA(iSys), getInB(iSys) the position iPos 
of the incoming parton from beam A or beam B to the iSys'th 
subcollision.
              •  

            • sizeOut(iSys) the number of outgoing partons 
in the iSys'th subcollision.
              •  

            • getOut(iSys, iMem) the position iPos 
of an outgoing parton in the iSys'th subcollision, 
with the iMem range limited by sizeOut(iSys). 
These partons are not guaranteed to appear in any particular order. 
              •  

            • sizeAll(iSys) the total number of incoming and outgoing 
partons in the iSys'th subcollision.
              •  

            • getAll(iSys, iMem) the position iPos 
of an incoming or outgoing parton in the iSys'th subcollision. 
In case there are beams it gives same as getInA(iSys)  and 
 getInB(iSys) for indices 0 and 1, and thereafter agrees with 
getOut(iSys, iMem) offset two positions. If there are no 
beams it is identical with getOut(iSys, iMem).
              •  

            • getSHat(iSys) the invariant squared mass 
sHat of the iSys'th subcollision.
              •  

            • list() print a listing of all the system information, 
except for the sHat values.
              •  

             
 

             
New systems are created from the hard process and by the MPI, not from 
any of the other components. Both FSR and ISR modify the position 
of partons, however. Since an FSR or ISR branching typically implies 
a new state with one more parton than before, an outgoing parton must 
be added to the system. Furthermore, in a branching, several existing 
partons may also be moved to new slots, including the incoming beam ones. 
In a FSR 1 → 2 branching it is irrelevant which parton position 
you let overwrite the existing slot and which is added to the end of 
the system. 
 

             
The system information must be kept up-to-date. Both the MPI, ISR, FSR and 
BR descriptions make extensive use of the existing information. As an 
example, the introduction of primordial kT in the beam remnants 
will fail if the information on which final-state partons belong to which 
system is out-of-date. The introduction of rescattering as part of the 
MPI framework adds further complications, where an outgoing parton of one 
subsystem may be the incoming one of another system. This part of the code 
is still under development. 
 

             
Currently the system information is kept throughout the continued 
history of the event. Specifically, resonance decays create new systems, 
appended to the existing ones. This could be useful during the 
hadronization stage, to collect the partons that belong to a resonance 
with preserved mass when a small string collapses to one particle, 
but is not yet used for that. 
 

            The beams
             
   
The different subsystems are tied together by them sharing the same 
initial beam particles, and thereby being restricted by energy-momentum 
and flavour conservation issues. The information stored in the two 
beam particles, here called beamA and beamB, 
is therefore as crucial to keep correct as the above subsystem list. 
 

             
Both beam objects are of the BeamParticle class. 
Each such object contains a vector with the partons extracted from it. 
The number of such partons, beamX.size() (X = A or B), 
of course is the same as the above number of subsystems in the event 
record. (The two diverge at the BR step, where further beam remnants 
are added to the beams without corresponding to new subsystems.) 
The individual partons are accessed by an overloaded indexing 
operator to a vector of ResolvedParton objects. The 
iPos() property corresponds to the iPos 
one above, i.e. providing the position in the main event record of 
a parton. In particular, 
beamA[iSys].iPos() = partonSystemsPtr->getInA(iSys) and 
beamB[iSys].iPos() = partonSystemsPtr->getInB(iSys). 
Whereas thus the indices of the two incoming partons to a subsystem 
are stored in two places, the ones of the outgoing partons only 
appear in the system part of the PartonSystems class. 
 

             
Just as the subsystems in PartonSystems must be updated, 
so must the information in the two BeamParticle's, e.g. 
with methodsbeamX[iSys].iPos( iPosIn) when an incoming 
parton is replaced by a new one in line iPosIn. Furthermore 
the new parton identity should be set by beamX[iSys].id( idIn) 
and the new x energy-momentum fraction by 
beamX[iSys].x( xIn). The three can be combined in one go 
by beamX[iSys].update( iPosIn, idIn, xIn). 
 

             
To be specific, it is assumed that, at each step, the two incoming 
partons are moving along the +-z axis and are massless. 
Since the event is constructed in the c.m. frame of the incoming 
beams this implies that x = 2 E / E_cm. 
If the x values are not defined accordingly or not kept 
up-to-date the BR treatment will not conserve energy-momentum. 
  

             
In return, the BeamParticle objects give access to some 
useful methods. The beamX.xf( id, x, Q2) returns the 
standard PDF weight x f_id(x, Q^2). More interestingly, 
beamX.xfISR( iSys, id, x, Q2) returns the modified weight 
required when several subsystems have to share the energy and flavours. 
Thus iSys is added as an extra argument, and the momentum 
already assigned to the other subsystems is not available for evolution, 
i.e. the maximal x is correspondingly smaller than unity. 
Also flavour issues are handled in a similar spirit. 
  

             
An additional complication is that a parton can be either valence or 
sea, and in the latter case the BR treatment also distinguishes 
companion quarks, i.e. quark-antiquark pairs that are assumed to 
come from the same original g → q qbar branching, whether 
perturbative or not. This can be queried either with the 
beamX[iSys].companion() method, for detailed information, 
or with the beamX[iSys].isValence(), 
beamX[iSys].isUnmatched() and 
beamX[iSys].isCompanion() methods for yes/no answers 
whether a parton is valence, unmatched sea or matched sea. 
This choice should affect the ISR evolution; e.g., a valence quark 
cannot be constructed back to come from a gluon. 
  

             
To keep this info up-to-date, the beamX.pickValSeaComp() 
method should be called whenever a parton of a new flavour has been 
picked in the ISR backwards evolution, but not if the flavour has not 
been changed, since then one should not be allowed to switch back and 
forth between the same quark being considered as valence or as sea. 
Since the pickValSeaComp() method makes use of the 
current parton-density values, it should be preceded by a call 
to beamX.xfISR( iSys, id, x, Q2), where the values in 
the call are the now finally accepted ones for the newly-found mother. 
(Such a call is likely to have been made before, during the evolution, 
but is not likely to be the most recent one, i.e. still in memory, and 
therefore had better be redone.) 
      


 
 
pythia8-8.1.86.orig/phpdoc/CouplingsAndScales.php0000644000175000017500000004656412357553536020103 0ustar  sunsun

Couplings and Scales






SETTINGS SAVED TO FILE

            "; }
else {
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            "; }
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?>


 

            Couplings and Scales
             
 
Here is collected some possibilities to modify the scale choices 
of couplings and parton densities for all internally implemented 
hard processes. This is based on them all being derived from the 
SigmaProcess base class. The matrix-element coding is 
also used by the multiparton-interactions machinery, but there with a 
separate choice of alpha_strong(M_Z^2) value and running, 
and separate PDF scale choices. Also, in 2 → 2 and 
2 → 3 processes where resonances are produced, their 
couplings and thereby their Breit-Wigner shapes are always evaluated 
with the resonance mass as scale, irrespective of the choices below. 
 

            Couplings and K factor
             
 
The size of QCD cross sections is mainly determined by 


            SigmaProcess:alphaSvalue      (default = 0.1265; minimum = 0.06; maximum = 0.25)
            
The alpha_strong value at scale M_Z^2. 
   
 

             
The actual value is then regulated by the running to the Q^2 
renormalization scale, at which alpha_strong is evaluated 


            SigmaProcess:alphaSorder      (default = 1; minimum = 0; maximum = 2)
            
Order at which alpha_strong runs, 

            
0 : zeroth order, i.e. alpha_strong is kept  fixed.
            
1 : zeroth order, i.e. alpha_strong is kept  fixed.
            
2 : second order. Since other parts of the code do  not go to second order there is no strong reason to use this option,  but there is also nothing wrong with it.
            
 

             
QED interactions are regulated by the alpha_electromagnetic 
value at the Q^2 renormalization scale of an interaction. 


            SigmaProcess:alphaEMorder      (default = 1; minimum = -1; maximum = 1)
            
The running of alpha_em used in hard processes. 

            
1 : first-order running, constrained to agree with  StandardModel:alphaEMmZ at the Z^0 mass.  
            
0 : zeroth order, i.e. alpha_em is kept  fixed at its value at vanishing momentum transfer.
            
-1 : zeroth order, i.e. alpha_em is kept  fixed, but at StandardModel:alphaEMmZ, i.e. its value  at the Z^0 mass.  
            
 

             
In addition there is the possibility of a global rescaling of 
cross sections (which could not easily be accommodated by a 
changed alpha_strong, since alpha_strong runs) 


            SigmaProcess:Kfactor      (default = 1.0; minimum = 0.5; maximum = 4.0)
            
Multiply almost all cross sections by this common fix factor. Excluded 
are only unresolved processes, where cross sections are better 
";?>set directly, and 
multiparton interactions, which have a separate K factor 
";?>of their own. 
This degree of freedom is primarily intended for hadron colliders, and 
should not normally be used for e^+e^- annihilation processes. 
   
 

            Renormalization scales
             
 
The Q^2 renormalization scale can be chosen among a few different 
alternatives, separately for 2 → 1, 2 → 2 and two 
different kinds of 2 → 3 processes. In addition a common 
multiplicative factor may be imposed. 
  


            SigmaProcess:renormScale1      (default = 1; minimum = 1; maximum = 2)
            
The Q^2 renormalization scale for 2 → 1 processes. 
The same options also apply for those 2 → 2 and 
2 → 3 processes that have been specially marked as 
proceeding only through an s-channel resonance, by the 
isSChannel() virtual method of SigmaProcess. 

            
1 : the squared invariant mass, i.e. sHat.  
            
2 : fix scale set in SigmaProcess:renormFixScale  below.  
            
   


            SigmaProcess:renormScale2      (default = 2; minimum = 1; maximum = 5)
            
The Q^2 renormalization scale for 2 → 2 processes. 

            
1 : the smaller of the squared transverse masses of the two  outgoing particles, i.e. min(mT_3^2, mT_4^2) =  pT^2 + min(m_3^2, m_4^2).  
            
2 : the geometric mean of the squared transverse masses of  the two outgoing particles, i.e. mT_3 * mT_4 =  sqrt((pT^2 + m_3^2) * (pT^2 + m_4^2)).  
            
3 : the arithmetic mean of the squared transverse masses of  the two outgoing particles, i.e. (mT_3^2 + mT_4^2) / 2 =  pT^2 + 0.5 * (m_3^2 + m_4^2). Useful for comparisons  with PYTHIA 6, where this is the default.  
            
4 : squared invariant mass of the system,  i.e. sHat. Useful for processes dominated by  s-channel exchange.  
            
5 : fix scale set in SigmaProcess:renormFixScale  below.  
            
   


            SigmaProcess:renormScale3      (default = 3; minimum = 1; maximum = 6)
            
The Q^2 renormalization scale for "normal" 2 → 3 
processes, i.e excepting the vector-boson-fusion processes below. 
Here it is assumed that particle masses in the final state either match 
or are heavier than that of any t-channel propagator particle. 
(Currently only g g / q qbar → H^0 Q Qbar processes are 
implemented, where the "match" criterion holds.) 

            
1 : the smaller of the squared transverse masses of the three  outgoing particles, i.e. min(mT_3^2, mT_4^2, mT_5^2).  
            
2 : the geometric mean of the two smallest squared transverse  masses of the three outgoing particles, i.e.  sqrt( mT_3^2 * mT_4^2 * mT_5^2 / max(mT_3^2, mT_4^2, mT_5^2) ).  
            
3 : the geometric mean of the squared transverse masses of the  three outgoing particles, i.e. (mT_3^2 * mT_4^2 * mT_5^2)^(1/3).  
            
4 : the arithmetic mean of the squared transverse masses of  the three outgoing particles, i.e. (mT_3^2 + mT_4^2 + mT_5^2)/3.  
            
5 : squared invariant mass of the system,  i.e. sHat.  
            
6 : fix scale set in SigmaProcess:renormFixScale  below.  
            
  


            SigmaProcess:renormScale3VV      (default = 3; minimum = 1; maximum = 6)
            
The Q^2 renormalization scale for 2 → 3 
vector-boson-fusion processes, i.e. f_1 f_2 → H^0 f_3 f_4 
with Z^0 or W^+-  t-channel propagators. 
Here the transverse masses of the outgoing fermions do not reflect the 
virtualities of the exchanged bosons. A better estimate is obtained 
by replacing the final-state fermion masses by the vector-boson ones 
in the definition of transverse masses. We denote these combinations 
mT_Vi^2 = m_V^2 + pT_i^2. 

            
1 : the squared mass m_V^2 of the exchanged  vector boson.  
            
2 : the geometric mean of the two propagator virtuality  estimates, i.e. sqrt(mT_V3^2 * mT_V4^2).  
            
3 : the geometric mean of the three relevant squared  transverse masses, i.e. (mT_V3^2 * mT_V4^2 * mT_H^2)^(1/3).  
            
4 : the arithmetic mean of the three relevant squared  transverse masses, i.e. (mT_V3^2 + mT_V4^2 + mT_H^2)/3.  
            
5 : squared invariant mass of the system,  i.e. sHat.  
            
6 : fix scale set in SigmaProcess:renormFixScale  below.  
            
 


            SigmaProcess:renormMultFac      (default = 1.; minimum = 0.1; maximum = 10.)
            
The Q^2 renormalization scale for 2 → 1, 
2 → 2 and 2 → 3 processes is multiplied by 
this factor relative to the scale described above (except for the options 
with a fix scale). Should be use sparingly for 2 → 1 processes. 
   
 


            SigmaProcess:renormFixScale      (default = 10000.; minimum = 1.)
            
A fix Q^2 value used as renormalization scale for 
2 → 1, 2 → 2 and 2 → 3 processes 
in some of the options above. 
   
 

            Factorization scales
             
 
Corresponding options exist for the Q^2 factorization scale 
used as argument in PDF's. Again there is a choice of form for 
2 → 1, 2 → 2 and 2 → 3 processes 
separately. For simplicity we have let the numbering of options agree, 
for each event class separately, between normalization and factorization 
scales, and the description has therefore been slightly shortened. The 
default values are not necessarily the same, however. 
  


            SigmaProcess:factorScale1      (default = 1; minimum = 1; maximum = 2)
            
The Q^2 factorization scale for 2 → 1 processes. 
The same options also apply for those 2 → 2 and 
2 → 3 processes that have been specially marked as 
proceeding only through an s-channel resonance. 

            
1 : the squared invariant mass, i.e. sHat.  
            
2 : fix scale set in SigmaProcess:factorFixScale  below.  
            
 


            SigmaProcess:factorScale2      (default = 1; minimum = 1; maximum = 5)
            
The Q^2 factorization scale for 2 → 2 processes. 

            
1 : the smaller of the squared transverse masses of the two  outgoing particles.  
            
2 : the geometric mean of the squared transverse masses of  the two outgoing particles.  
            
3 : the arithmetic mean of the squared transverse masses of  the two outgoing particles. Useful for comparisons with PYTHIA 6, where  this is the default.  
            
4 : squared invariant mass of the system,  i.e. sHat. Useful for processes dominated by  s-channel exchange.  
            
5 : fix scale set in SigmaProcess:factorFixScale  below.  
            
   


            SigmaProcess:factorScale3      (default = 2; minimum = 1; maximum = 6)
            
The Q^2 factorization scale for "normal" 2 → 3 
processes, i.e excepting the vector-boson-fusion processes below. 

            
1 : the smaller of the squared transverse masses of the three  outgoing particles.  
            
2 : the geometric mean of the two smallest squared transverse  masses of the three outgoing particles.  
            
3 : the geometric mean of the squared transverse masses of the  three outgoing particles.  
            
4 : the arithmetic mean of the squared transverse masses of  the three outgoing particles.  
            
5 : squared invariant mass of the system,  i.e. sHat.  
            
6 : fix scale set in SigmaProcess:factorFixScale  below.  
            
  


            SigmaProcess:factorScale3VV      (default = 2; minimum = 1; maximum = 6)
            
The Q^2 factorization scale for 2 → 3 
vector-boson-fusion processes, i.e. f_1 f_2 → H^0 f_3 f_4 
with Z^0 or W^+-  t-channel propagators. 
Here we again introduce the combinations mT_Vi^2 = m_V^2 + pT_i^2 
as replacements for the normal squared transverse masses of the two 
outgoing quarks. 

            
1 : the squared mass m_V^2 of the exchanged  vector boson.  
            
2 : the geometric mean of the two propagator virtuality  estimates.  
            
3 : the geometric mean of the three relevant squared  transverse masses.  
            
4 : the arithmetic mean of the three relevant squared  transverse masses.  
            
5 : squared invariant mass of the system,  i.e. sHat.  
            
6 : fix scale set in SigmaProcess:factorFixScale  below.  
            
 


            SigmaProcess:factorMultFac      (default = 1.; minimum = 0.1; maximum = 10.)
            
The Q^2 factorization scale for 2 → 1, 
2 → 2 and 2 → 3 processes is multiplied by 
this factor relative to the scale described above (except for the options 
with a fix scale). Should be use sparingly for 2 → 1 processes. 
   
 


            SigmaProcess:factorFixScale      (default = 10000.; minimum = 1.)
            
A fix Q^2 value used as factorization scale for 2 → 1, 
2 → 2 and 2 → 3 processes in some of the options 
above. 
   
 


"?>


            





 
 
pythia8-8.1.86.orig/phpdoc/RandomNumberSeed.php0000644000175000017500000000571412357553536017544 0ustar  sunsun

Random-Number Seed






SETTINGS SAVED TO FILE

            "; }
else {
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            "; }
}
?>


            
 

            Random-Number Seed
             
 
The seed of the random number generator can be set as follows: 
 


            Random:setSeed  On
Off
   (default = off)
            
Indicates whether a user-set seed should be used every time the 
Pythia::init routine is called. If off, the random number 
generator is initialized with its default seed at the beginning 
of the run, and never again. If on, each new Pythia::init 
call (should several be made in the same run) results in the random 
number being re-initialized, thereby possibly starting over with the 
same sequence, if you do not watch out. 
   
 


            Random:seed       (default = -1; maximum = 900000000)
            
The seed to be used, if setSeed is on.
             
A negative value gives the default seed,
             
a value 0 gives a random seed based on the time, and
             
a value between 1 and 900,000,000 a unique different random number 
sequence. 
   
 

             
For more on random numbers see ";?>here. 
This includes methods to save and restore the state of the generator, 
and some preprogrammed methods to generate non-uniform random numbers. 
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/CKKWLMerging.php0000644000175000017500000020767512357553536016550 0ustar  sunsun 


CKKW-L Merging






SETTINGS SAVED TO FILE

            "; }
else {
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            "; }
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?>


            
 

            CKKW-L Merging
             
 
CKKW-L merging [Lon01] allows for a consistent merging of parton 
showers with 
matrix elements to include multiple well-separated partons. The 
algorithm implemented  in PYTHIA is described in [Lon11]. To 
perform matrix element merging,  the user has to supply LHE 
files [Alw07] for the hard process  and the corresponding 
process with up to N additional jets. 
 

             The usage of the merging procedure is illustrated in a few 
example main  programs 
(main81.cc, main82.cc, 
main83.cc, main84.cc and main85.cc, 
together with the input files main81.cmnd, 
main82.cmnd, main84.cmnd and 
main85.cmnd). These examples should of course only serve 
as  an illustration, and as such will not make use of the merging in 
all  possible ways. For full generality, the example programs link to 
LHAPDF,  FastJet and HepMC. Of course the user is welcome to  remove 
these dependencies. To remove the FastJet dependence, the functions 
calculating example observables have to be deleted. Removing the 
LHAPDF  dependence requires changing the cmnd input files to choose an 
inbuilt PDF,  as outlined in the 
PDF documentation.  The 
HepMC dependence can be removed by erasing the code allowing for HepMC 
output. 
 

             Please note that a detailed tutorial on merging in Pythia is available 
from 
 
http://home.thep.lu.se/~torbjorn/pythia8/mergingworksheet8160.pdf. 
 

             Three very short LHE files (w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe, w+_production_lhc_2.lhe) 
are included in the distribution. These files are not intended for 
physics  studies, but only serve as input for the example main 
programs. For  realistic studies, the user has to supply LHE files. 
 

             In the generation of LHE files, the value of the factorisation 
scale used in  the PDFs is not important, since the cross section will 
be multiplied by ratios  of PDFs to adjust to the PYTHIA starting 
scales. The same is true for the  renormalisation scale (and starting 
value αs(MZ))  used to evaluate 
αs. Coupling and scale choices by the user 
will be transferred to the merging routines. 
 

             Multi-jet events can suffer from infrared divergences in the 
calculation. Sensible matrix element generator (MEG) outputs should not 
contain phase space points in which the calculation is ill-defined, meaning 
infrared regions need to be removed by cuts. This is most conveniently done 
by disallowing the MEG to produce partons below a 
minimal parton-parton separation in a certain jet algorithm. Using 
dedicated cuts to regularise MEG output is of course possible as well. Any 
regularisation criterion defines the matrix element region: The parts of 
phase space in which the fixed order calculation is considered valid and 
preferable to the parton shower. Matrix element merging is combining 
MEG events in the matrix element region with parton shower events in regions 
outside the regularisation cut (often called parton shower region). Because 
the regularisation cut defines a boundary between the matrix element 
and parton shower regions, i.e. the regions to be merged into one inclusive 
sample, it is usually called  merging scale . Since many different 
cut choices may regularise the MEG calculation, many different merging scale 
definitions are possible. A few standard choices are listed below, as well as 
documentation on how to use a user-defined cut criterion. In combining matrix 
element and parton shower regions, the CKKW-L prescription tries to minimise 
the dependence on the merging scale. This can only be achieved if the 
combination of MEG events and parton shower populates the whole phase space. 
Additional cuts on the partons in the LHEF generation should hence be 
avoided as much as possible, meaning that the merging scale cut should always 
pose a more stringent cut than all other cuts on the partons. Of course, if 
the hard process itself is divergent, cuts need to be made. However, this 
should be chosen in such a way as to not exclude regions that will be 
available to the matrix elements with additional jets. An example is QCD 
di-jet production with additional jets: Say the 2 → 2 process is 
regularised with a pTmin cut of pTminCut = 100 GeV, and 
the 2 - >3 sample is regularised with a kTmin-cut of 
kTminCut = 50 GeV. This would mean that when reclustering 
the  emission in the 2 → 3 sample, we could end up with a 
pT value pTminNow of the 2 → 2 configuration with 
pTminCut > pTminNow, which is excluded in the 
2 → 2 sample. Thus, the 2 → 3 sample will include a 
Sudakov factor  not included in the 2 → 2 sample, resulting 
in merging scale  dependencies. Such dependencies can be avoided if 
the additional cuts on the hard process are minimal. 
 

             Of course, additional cuts on electroweak particles are 
allowed. These  should be the same for all samples with 
 0 <= n <= N  additional partons. 
 

             If it is not possible to generate LHE files with minimal cuts, 
the user can choose to use the MergingHooks structures in 
order to decide how much influence to attribute to parton shower 
histories in which the reclustered lowest multiplicity process does 
not pass the matrix element cuts. This is  described below. 
 

             When generating LHE files, we advise against putting 
unstable  particles (e.g. massive gauge bosons) in the final state. 
Rather, specify a  resonance by its decay products, e.g. if Les Houches 
events for the pp → Z + jets → e+e- + jets process 
are desired, generate the matrix element events with the Z decay 
included. From a physical  point of view, on-shell final massive gauge 
bosons should not be considered  part of a hard process, since only 
the boson decay products will be detectable.  Furthermore, 
non-narrow-width approximation contributions are not present if  the 
ME generator only produces on-shell bosons. Interference effects 
between  different production channels for the decay products would 
also be neglected.  These points seem an unnecessary restriction on 
the accuracy of the ME  calculation.  In addition, there is a 
technical reason for this strategy. Since  some matrix element 
generators choose to put additional information on  intermediate 
bosons into Les Houches events, depending on if they pass a certain 
criterion (e.g. being close to the mass shell), without exact 
knowledge of this  criterion, the only feasible way of bookkeeping the 
hard process is by  identifying outgoing decay products. 
 

             Despite these considerations, (massive) gauge bosons in the final state 
are allowed in the hard process definition. This is useful particularly for 
Higgs physics, when different decays of the Higgs boson need to be simulated 
after the LHEF generation. 
 

             For all merging purposes, processes with different charge of 
outgoing leptons are considered different processes. That means 
e.g. that e+νe+ jets and 
e-ν̄e + jets 
are considered independent processes. If the user wishes to generate 
distributions including effects of more than one  process, merged 
samples for all independent processes should be generated  separately 
and added afterwards. Alternatively, to combine simple processes, 
combined LHE files can be used in conjunction with flexible containers (see 
below). 
 

             When the matrix element merging is used to produce HepMC 
[Dob01] files to be analysed  with RIVET [Buc10], 
special care  needs to taken in how the cross section is read by RIVET 
(see below). 
 

             To specify the merging conditions, additionally information on 
the merging scale value and the functional definition of the merging 
scale is needed. A few  standard definitions of merging scales are 
available. We hope this makes the user interface less cumbersome. 
 

             Different choices intrinsic to the CKKW-L merging procedure might 
be relevant for the user as well. The base 
class MergingHooks gives the user the opportunity to 
define the functional form of the merging scale.  In the following, 
the usage of the merging machinery to consistently include LHE files 
with additional jets into PYTHIA  will be discussed. 
 


             

            Merging scale definitions
             
 

             The quickest way to include processes with additional jets is to 
produce LHE files with one of the standard ways to define the merging 
scale. Three standard ways to define a merging scale (minimal kT, 
minimal evolution pT and by three cuts) are implemented. All of these 
prescriptions are equivalent - different definitions have only been introduced 
for the convenience of users, who might be limited by which cuts can be used 
in the generation of LHE files. Below, we describe how to switch on and use 
these different merging scale definitions. 
 

            Merging with merging scale defined in kT:
             
 


            Merging:doKTMerging  On
Off
   (default = off)
            
If the additional jets in the LHE files have been regulated by 
a kT cut, the user can supply the merging scale definition by 
setting this flag to on. kT here and below means cutting on 
Durham kT for e+e-  collisions, and cutting on 
longitudinally invariant kT for hadronic  collisions. Please note 
that this particular merging scale definition will check kT between 
all pairs of u,d,c,s,b,g partons. 
   
 

             
Currently, the name longitudinally invariant kT is used 
for a few jet recombination algorithms with slightly different 
jet measures. A specific form can be chosen by setting the switch 
 


            Merging:ktType      (default = 1; minimum = 1; maximum = 3)
            
Precise functional definition of longitudinally 
invariant kT. For e+e- collisions, Durham kT is 
always defined by the square root of min{ 2*min[  
Ei2, Ej2] * [ 1 - 
cosθij] }, so that this switch will have no effect. 

            
1 :  Longitudinally invariant kT is defined by  the  square root of the minimum of minimal jet kinematic pT  (pTkin,min2 = min{ pT,i2 }   ) and pTlon,min2 =  min{ min[ pT,i2, pT,j2] *   [ (Δyij)2 +  (Δφij)2 ] / D2 } , i.e.  kT = min{ √pTkin,min2,   √pTlon,min2 } for hadronic collisions. Note  that the true rapidity of partons is used.  
            
2 : Longitudinally invariant kT is defined by  the  square root of the minimum of minimal jet kinematic pT  (pTkin,min2 = min{ pT,i2   } ) and pTlon,min2 =  min{ min[ pT,i2,  pT,j2] * [  (Δηij)2 +  (Δφij)2 ] / D2 }, i.e.  kT = min{ √pTkin,min2,   √pTlon,min2 }  for hadronic collisions. Note that the pseudorapidity of partons is used.  
            
3 :  Longitudinally invariant kT is defined by  the  square root of the minimum of minimal jet kinematic pT  (pTkin,min2 = min{ pT,i2   } ) and  pTlon,min2 =  min{ min[ pT,i2,  pT,j2] * [ cosh(Δηij) -  cos(Δφij) ] / D2 } ,  i.e.  kT = min{ √pTkin,min2  , √pTlon,min2 }  for hadronic collisions.  
            
 


            Merging:Dparameter      (default = 1.0)
            
The value of the D parameter needed in the definition of 
longitudinally invariant kT separation.
   
 


            Merging:nJetMax       (default = 0; minimum = 0)
            
Maximal number of additional jets in the matrix element 
   
 


            Merging:TMS      (default = 0.0)
            
The value of the merging scale. The name is inspired by the scale in 
evolution equations, which is often called 't', and the suffix 'MS' stands 
for merging  scale.  In the particular case of kT-merging, this 
would be the value of the kT-cut  in GeV. For any merging scale 
definition, this input is considered the actual value of the merging 
scale. 
   
 


            Merging:Process       (default = void)
            
The string specifying the hard core process, in MG4/ME notation. 
   
 

             
If e.g. W + jets merging should be performed, set this to 
pp>e+ve (without white spaces or  quotation marks). 
This string may contain resonances in the MG/ME notation, e.g. for merging 
pp→Z W+→q q̄ e+νe + jets, 
the string pp>(z>jj)(w+>e+ve) would be applicable. 
 

             
A lot more flexible hard process definitions are possible. To not dwell too 
much on these details here, we will come back to the process string at the end 
of this section. 
 
 


            Merging:doMGMerging  On
Off
   (default = off)
            
Even easier, but highly non-general, is to perform the merging with 
MadGraph/MadEvent-produced LHE files, with a merging scale defined by 
a kT cut.  For this, set this switch to on. The merging scale 
value will be read from  the +1 jet LHE file by searching for the 
string ktdurham, and  extracting the value from  
value  = ktdurham. Also, the hard  process will be read from 
the +0 jet LHE file, from the line containing  the string @1 
(the tag specifying the first process in the  MadGraph process card). 
For this to work, PYTHIA should be initialised on LHE files called 
NameOfYourLesHouchesFile_0.lhe (+0 jet sample) and 
NameOfYourLesHouchesFile_1.lhe (+1 jet sample) and the 
same naming convention for LHE files with two or more additional jets. 
Since for this option, the merging scale value is read from the 
LHEF, no merging scale value needs to be supplied by setting  
Merging:TMS .  Also, the hard process is read from LHEF, the 
input Merging::Process does not have to be defined. 
However, the maximal number of merged jets still has to be supplied by 
setting Merging:nJetMax. 
   
 
 

            Merging with merging scale defined in Pythia evolution pT:
             
 
If the LHE file has been regularised by cutting on the minimal Pythia 
evolution pT in the state, this can also be used as a merging scale 
right away. For this, change the switch 
 


            Merging:doPTLundMerging  On
Off
   (default = off)
            
The merging scale is then defined by finding the minimal Pythia evolution 
pT between sets of radiator, emitted and recoiler partons. For this 
particular merging scale definition, u,d,c,s,b,g are considered 
partons. The Pythia evolution pT of a single three-parton set is 
defined by 

             
pTevol = zijk(1-zijk) 
   Qij2 for FSR, where i is the radiating 
   parton, j is the emitted parton and k is the recoiler, 
   and 
    Qij2 = 
      (pi + pj)2 , and 
   zijk = 
      xi,jk / (xi,jk + xj,ik) with 
   xi,jk = 
      2 pi (pi + pj + pk) 
        / (pi + pj + pk)2  

             
pTevol = (1-zijk) 
   Qij2 for ISR, where i is the radiating 
   parton, j is the emitted parton and k is the second 
   initial state parton, and 
    Qij2 = 
     -(pi - pj)2 , and 
   zijk = 
     (pi - pj + pk)2 
   / (pi + pk)2 . 
 

             
When using this option, the merging scale is defined by the minimum 
pTevol for all combinations of three partons in the event, 
irrespective of flavour or colour-connections. The merging scale value will 
be read from the Merging:TMS parameter, so that this needs to be 
set just as in the case of the kT-merging prescription. Of course you 
will also need to set Merging:Process and the maximal number of 
additional matrix element jets Merging:nJetMax. 
   
 

            Merging with merging scale defined by a combination of cuts:
             
 
It is possible to regularise QCD divergences in a LHE file by applying cuts 
to the kinematical pT of jets (pTi), combined 
with a cut on  ΔRij between jets and a cut on 
invariant mass  Qij of jet pairs. The combination of 
these standard cuts can also serve as a merging scale. For this, use this 
setting 
 


            Merging:doCutBasedMerging  On
Off
   (default = off)
            
This switch will use cuts on (pTi), 
 ΔRij  and 
 Qij to define when parton shower emissions are allowed. 
Please note for this particular merging scale definition, only light jets 
(u,d,c,s,g) are checked. 
   
 

             
The values of the cuts will then be read from 
 


            Merging:QijMS      (default = 0.0)
            
The value of the invariant mass cut  Qij of pairs of final 
state partons used in the matrix element generation. 
   
 


            Merging:pTiMS      (default = 0.0)
            
The value of the minimal transverse momentum cut  pTi on 
final state partons, as used in the matrix element generation. 
   
 


            Merging:dRijMS      (default = 0.0)
            
The value of the minimal  ΔRij separation between 
pairs of final state partons used in the matrix element generation, where 
 ΔRij2 = (Δyij)2 + 
(Δφij)2. 
   
 

             
With knowledge of these values, and Merging:doCutBasedMerging, 
Pythia will use these cuts as a separation between matrix element phase space 
and parton shower region. If e.g. the Les Houches Events have been generated 
with the cuts  ΔRij = 0.1 , 
pTi= 20 GeV and  Qij = 40 GeV, set 
Merging:QijMS=40., 
Merging:pTjMS=20., 
Merging:dRijMS=0.1 to perform a cut-based merging. Of course 
you will also need to set Merging:Process and the 
maximal number of additional matrix element jets 
Merging:nJetMax. 
 

            Les Houches events outside the matrix element region
             
 

             
Before continuing, we would like to point out that in general, the user 
should make sure that the events in the Les Houches file are actually 
calculated using the regularisation cut definition and value(s) supplied to 
Pythia as merging scale definition and value(s). However, if LH files with 
a large number of events and loose merging scale cuts are available, it 
might be useful to choose a higher merging scale value, e.g. for merging 
scale variations as part of uncertainty assessments. If CKKW-L merging is 
enabled, Pythia will by default check if events read from Les Houches file 
are in the matrix element region as defined by the merging scale definition 
and merging scale value. Events outside the matrix element region will be 
discarded. This will lead to warnings of the form "Les Houches Event 
fails merging scale cut. Cut by rejecting event". These warnings 
should, in this case, rather be regarded as information. 
To change the default behaviour, use the flag 
 


            Merging:enforceCutOnLHE  On
Off
   (default = on)
            
This will check if the events read from LHE file are in the matrix element 
region as defined by the merging scale definition and value(s). If on, LHE 
input outside the matrix element region will be rejected. If off, every 
event is assumed to pass the merging scale cut. 
   
 

            Defining the hard process
             
 
To perform CKKW-L matrix element merging, the user has to decide on a hard 
process, and communicate this choice to Pythia. This is done by setting the 
input Merging:Process 
  

             
For single processes in the Standard Model or the MSSM, MG4/ME notation is 
applicable. However, for some purposes, using a single simple process 
string is not satisfactory. Mixed W+ and W- events 
in a single LHE file is a common example. For this case, it would of course 
be perfectly allowed to perform twice, once for W+ production and 
once for W- production, and then add the results. Nevertheless, it 
seems reasonable to alleviate difficulties by allowing for less restrictive 
hard process definitions. Two generalisations of the process tag are 
available: Containers and user-defined particle tags. The syntax of these 
settings is described below. 
 

             
In case you want multiple processes in a LHE file to be treated on equal 
footing (e.g. W+ + jets and 
W- + jets), you should use flexible containers do 
specify the hard process. So far, we allow the use of the containers 
LEPTONS, NEUTRINOS, BQUARKS. If you 
use these containers, the hard process definition is relatively flexible, 
meaning that Pythia will attempt a merging of QCD jets for each event in 
the LHE file, and assume that all particles matching one of the containers 
are products of the hard process. This is best explained by examples. 
If you want to have both pp → e+ νe + jets 
and pp → e- ν̄e + jets events in a single 
file, you can set Merging:Process=pp>LEPTONS,NEUTRINOS as hard 
process (note that for readability, you are allowed to use commata to separate 
container names). Combining e.g. the processes 
pp → e+ νe and 
pp → μ+ νμ is possible with the hard process 
definition pp>LEPTONS,NEUTRINOS. 
 

             
For maximal flexibility, the definition of the hard process by these 
containers does not mean that each Les Houches event needs to contain 
particles to match each container. It is enough if one container is matched. 
This means that with the string pp>LEPTONS,NEUTRINOS, you can 
immediately process pp → e+ e-  events mixed with 
pp → e+ νe events, since particles matching at 
least one container can be found in both cases. Another example for the usage 
of containers is mixing pp → e+ νe and 
pp → tt̄ → e+ νe e- ν̄e 
  bb̄. This can be accommodated by the hard process string 
Merging:Process=pp>LEPTONS,NEUTRINOS,BQUARKS. 
 

             
There is however a conceptual limitation to containers: The hard process 
definition is necessary to ensure that when constructing lower multiplicity 
states (that will be used to calculate the correct merging weight), the 
structure of the hard process will be preserved. If e.g. we want the hard 
process to be pp → Z → bb̄ , we should ensure that 
the lowest multiplicity state contains a colour-singlet bb̄-pair. When 
reconstructing intermediate lower multiplicity states from multi-jet matrix 
elements, we should thus always be able to find at least one bb̄-pair. By 
mixing different processes in a LHE file, this requirement might already be 
violated at the level of Les Houches events. Flexible containers cannot give 
strong conditions which flavours should be preserved in the construction of 
the hard process. In order to avoid non-sensible results, it is hence  
assumed that all particles matching any of the containers will be part 
of the lowest multiplicity process. This implies that if you decide to use the 
BQUARKS container, all b-quarks in the LHE file will be 
interpreted as hard process particles, and never as additional radiation. 
 

             
Another way to specify the hard process particles is to explicitly define the 
particle names and identifiers. This is necessary if the matrix element 
merging in Pythia does not contain the particles of interest. To make sure 
that the hard process is still treated correctly, it is possible to define 
particles in the process string. If you e.g. want the hard process to contain 
a particle "zeta~" with PDG identifier "12345", produced in proton collisions, 
you have to include a user-defined particle tag by setting the process string 
to pp>{zeta~,12345}. The  user-defined particle is enclosed in 
curly brackets, with syntax 
{particle_name,particle_identifier}, where "particle_name" 
and "particle_identifier" are the particle name and particle identifier used 
for this particle in the input LHE file. User-defined particles are only 
allowed in the final state. You are free to fix user-defined particles with 
more common ones, as long as user-defined particles are put before more common 
particles in the process string. This means that if you e.g. wanted the hard 
process to contain a graviton in association with a positron and an 
electron-neutrino, you have to define the hard process as 
pp>{G,39}e+ve. 
 

             
Below you can find a list of particles predefined in the merging. If you wish 
to include a hard process with different final state particles, you may use 
the "curly bracket notation" outlined above. 
 

             
The set of incoming particles us limited to: 
e- (electron), e+ (positron), mu- 
(muon), mu+ (antimuon), p (proton, container to 
hold all initial state coloured particles),  p~ (identical to 
p container). 
 

             
The following intermediate particles are allowed: 
a (photon), z (Z boson), 
w- (W- boson), w+ (W+ boson), 
h (scalar Higgs boson), W (container to hold both 
W- and W+ boson), t (top quark), 
t~ (anti-top), 
dl, dl~, ul, ul~, 
sl, sl~, cl, cl~, 
b1, b1~, t1, t1~, 
dr, dr~, ur, ur~, 
sr, sr~, cr, cr~, 
b2, b2~, t2, t2~ 
(all MSSM squarks). 
 

             
We have pre-defined the outgoing particles: 
e+, e-, ve~, 
ve, mu+, mu-, 
vm~, vm, ta+, ta-, 
vt~, vt (all SM leptons and neutrinos), 
j~ (container to hold all final state coloured particles), 
j (container to hold all final state coloured particles), 
NEUTRINOS (container to hold all final state neutrinos and 
anti-neutrinos), LEPTONS (container to hold all final state 
leptons and anti-leptons), BQUARKS (container to hold final 
state b-quarks), d~, d, u~, 
u, s~, s, c~, 
c, b~, b, t~, 
t (all SM quarks), a, z, 
w-, w+ (all SM electro-weak bosons), 
h (scalar Higgs boson), W (container to hold both 
W- and W+ boson), n1 (MSSM neutralino), 
dl~, dl, ul~, ul, 
sl~, sl, cl~, cl, 
b1~, b1, t1~, t1, 
dr~, dr, ur~, ur, 
sr~, sr, cr~, cr, 
b2~, b2, t2~, t2 
(all MSSM squarks). Other outgoing particles are possible if you use the 
"curly bracket notation" described earlier. 
 


             

            Histogramming the events
             
After the event has been processed, histograms for observables of interest 
need to be filled. In order to achieve good statistical accuracy for all jet 
multiplicities and all subprocesses contributing to one jet multiplicity, 
generally a fixed number of unit-weighted events is read from each Les 
Houches Event file. To then arrive at the correct prediction, for each of 
these events, histogram bins should be filled with the corresponding cross 
section, or weighted with unit weight and normalised at the end to 
the generated cross section for each jet multiplicity separately. 
 

             Still another, even more important, event weight that has to 
applied on an  event-by-event basis is the CKKW-L-weight. This 
corrective weight is the main  outcome of the merging procedure and 
includes the correct no-emission  probabilities, PDF weights and 
αs factors. This means that the merging 
implementation will generate weighted events. The CKKW-L-weight can be 
accessed by the following function: 
 

             double Info::mergingWeight()   
             
Returns the CKKW-L weight for the current event. 
 

             Note that to avoid confusion, this function does not include the 
the weight of a phase space point (given 
by Info::weight()). This weight will differ from 
unity when reading in weighted Les Houches events. In this case, the 
full weight with which to fill histogram bins is 
Info::mergingWeight() * Info::weight(). 
 

             Finally, to arrive at a correct relative normalisation of the 
contributions from different number of additional jets in the matrix 
element, each histogram should be rescaled with the accepted cross 
section given by 
Info::sigmaGen(). The accepted cross section includes 
the  effect of vetoes generating Sudakov form factors for the matrix 
elements, and  is in general only known after the run. 
 

             This final step can of course be skipped if the accepted cross 
section had been estimated before the histogramming run, and  histogram 
bins had instead been filled with the weight 
Info::mergingWeight() * σest(number of 
additional jets in current ME sample). This is the way HepMC 
events should be weighted to produce correct relative weights of 
events (see below, and particularly examine the example programs 
main84.cc and main85.cc). 
 

             Examples how to use these options are given in main81.cc 
(kT merging), main84.cc (automatic MG/ME merging 
for RIVET usage), and main85.cc (HepMC output for RIVET usage). 
 


             

            Merging with user-defined merging scale function
             
 

             For all other merging scale definitions, the procedure is 
slightly more  complicated, since the user has to write a small piece 
of code defining the  merging scale. To allow for a user defined 
procedure, set the input 
 


            Merging:doUserMerging  On
Off
   (default = off)
            
General user defined merging on/off. 
   
 

             
Then, set 
the Merging:nJetMax, Merging:TMS 
and Merging:Process input as before. 
 

             Since during execution, PYTHIA needs to evaluate the merging 
scale with the  definition of the user, the user interface is designed 
in a way similar to the 
UserHooks strategy. The class controlling the merging 
scale  definition is called MergingHooks. 
 

            Initialisation
             
 

             To initialise the merging with user-defined merging scale, we 
should construct a class derived from MergingHooks, with 
a constructor and destructor 
 

             


            MergingHooks::MergingHooks()   
            
   


            virtual MergingHooks::~MergingHooks()   
            
   
The constructor and destructor do not need to do anything. 
 

             For the class to be called during execution, a pointer to an 
object of the class should be handed in with the 

             
Pythia::setMergingHooksPtr( MergingHooks*) method. 
 
An examples of this procedure are given in main82.cc. 
 

            Defining a merging scale
             
 

             Then, in the spirit of the UserHooks class, the user 
needs to  supply the process to be merged by defining a methods to 
evaluate the merging scale variable. 
 


            virtual double MergingHooks::tmsDefinition(const Event& event)   
            
This method will have to calculate the value of the merging scale 
defined in  some variable from the input event record. An example of 
such a function is  given in main82.cc. 
   
 

             The base class MergingHooks contains many functions 
giving  information on the hard process, to make the definition of the 
merging scale as easy as possible: 
 


            int MergingHooks::nMaxJets()   
            
Return the maximum number of additional jets to be merged. 
   
 


            int MergingHooks::nHardOutPartons()   
            
Returns the number of outgoing partons in the hard core process. 
   
 


            int MergingHooks::nHardOutLeptons()   
            
Returns the number of outgoing leptons in the hard core process. 
   
 


            int MergingHooks::nHardInPartons()   
            
Returns the number of incoming partons in the hard core process. 
   
 


            int MergingHooks::nHardInLeptons()   
            
Returns the number of incoming leptons in the hard core process. 
   
 


            int MergingHooks::nResInCurrent()   
            
The number of resonances in the hard process reconstructed from the 
current event. If e.g. the ME configuration was 
pp → (w+→e+ve)(z → mu+mu-)jj, and the ME generator put 
both intermediate bosons into the LHE file, this will return 2. 
   
 


            double MergingHooks::tms()   
            
 Returns the value used as the merging scale. 
   
 

             Filling output histograms for the event then proceeds along the 
lines described above in "Histogramming the events". 
 

             The full procedure is outlined in main82.cc. Special 
care needs to be  taken when the output is stored in the form of HepMC 
files for RIVET usage. 
 

            Defining a cut on lowest jet multiplicity events
             
 

             It can sometimes happen that when generating LHE files, a fairly 
restrictive cut has been used when generating the lowest multiplicity 
matrix element  configurations. Then, it can happen that states that 
are (in the generation of a parton shower history) constructed by 
reclustering from higher multiplicity  configurations, do not pass 
this matrix element cut. 
 

             Consider as an example  pure QCD dijet merging, when up to one 
additional jet should be merged.  Three-jet matrix element 
configurations for which the reclustered two-jet state does not pass 
the cuts applied to the two-jet matrix element would never have  been 
produced by showering the two-jet matrix element. This means that the 
three-jet matrix element includes regions of phase space that would 
never have  been populated by the parton shower. Thus, since the 
matrix element phase space is larger than the shower phase space, 
merging scale dependencies are expected.  A priori, this is not 
troublesome, since the aim of matrix element merging is  to include 
regions of phase space outside the range of the parton shower 
approximation into the shower. An example is the inclusion of 
configurations  with only unordered histories. 
 

             Clearly, if the parton shower phase space is very constrained by 
applying  stringent cuts to the two-jet matrix element, merging scale 
dependencies can  become sizable, as was e.g. seen in [Lon11] 
when forcing shower emissions to be ordered both in the evolution 
variable and in rapidity. To  influence the effect of large phase 
space differences for shower emissions and matrix element 
configurations due to LHEF generation cuts, the user has to  write a 
small piece of code overwriting method 
 


            virtual double MergingHooks::dampenIfFailCuts(const Event& event)   
            
multiplicity  reclustered state as an input Event. From this input 
event, the user can then check if matrix element cuts are 
fulfilled. The return value will be internally multiplied to the 
CKKW-L weight of the current event. Thus, if the user wishes  to 
suppress contributions not passing particular cuts, a number smaller 
than  unity can be returned. 
   
 

             Note that this method gives the user access to the lowest 
multiplicity state,  which ( e.g. in the case of incomplete histories) 
does not have to be a 2 → 2 configuration. Also, changing the 
weight of the current event by  hand is of course a major intervention 
in the algorithm, and should be  considered very carefully. Generally, 
if this facility would have to be used extensively, it is certainly 
preferable to be less restrictive when applying  additional, 
non-merging-scale-related cuts to the matrix element. 
 

             An example how to force a cut on lowest multiplicity reclustered 
states for pure QCD matrix element configurations is given by 
main83.cc (to be used with e.g. main82.cmnd). 
 

            Influencing the construction of all possible histories
             
 

             Even more powerful - and dangerous - is influencing the construction 
of histories directly. This should only be attempted by expert users. If you 
believe manipulations completely unavoidable, we advise you to take great care 
when redefining the following functions. 
 


            virtual bool MergingHooks::canCutOnRecState()   
            
In the base class this method returns false. If you redefine it 
to return true then the method doCutOnRecState(...) 
will be called for each reclustered state encountered in the generation of 
all possible histories of the matrix element state. 
   
 


            virtual bool MergingHooks::doCutOnRecState(const Event& event)   
            
This routine will be supplied internally with every possible reclustered 
event that can be reached by reclustering any number of partons in 
the matrix element input state. The new, reclustered, states can then be 
analysed. If the method returns false, the history to which the state belongs 
will be treated as if it were unordered, i.e. this path will only be chosen 
if no other histories are available. In this way, the number of histories 
not fulfilling the user criterion will be minimised. 
   
 

             
Clearly, these methods are highly intrusive. It could e.g. happen that no 
history is allowed, which would make merging impossible. One example where 
this method could be useful is if cuts on the core 2 → 2 
processes have to be checked, and the method 
MergingHooks::dampenIfFailCuts(const Event& event) is not 
sufficiently effective. 
 

            Defining the hard process matrix element
             
 

             The MergingHooks class also allows the expert user to define the matrix 
element of the hard process, by defining the method 
 


            virtual double MergingHooks::hardProcessME(const Event& inEvent)   
            
This routine will be supplied internally with the reconstructed 
lowest-multiplicity event. From this, it is possible to calculate the squared 
matrix element of the hard process, by using the information stored in the 
event record. The function should return a double value that 
corresponds to the matrix element at the phase space point given by the input 
event record. This number will then be multiplied to the product of splitting 
functions that define the probability of the current path of the parton 
shower history. In this way, the hard process configuration can be taken into 
account when choosing the parton shower history, which is, internally, used 
to generate the "merging weight". 
   
 

             The inclusion of the hard process matrix element into the choice 
of histories becomes relevant when the hard process matrix element has very 
strong phase space dependencies. QCD dijet cross sections for example strongly 
depend on the transverse momentum of the jets. So far, the authors have not 
encountered any changes upon inclusion of the full hard process matrix 
element, even for the QCD dijet case. 
 


             

            Matrix element merging and HepMC output for RIVET
             
 
Examples how to produce matrix element merged events to be analysed 
with RIVET are given by main84.cc and main85.cc. 
 

             The main issue is that the output of separate RIVET runs can not 
in general be combined. To perform a matrix element merging, we 
however need to runs over  different LHE files. The solution to this 
problem (so far) is to only perform  one RIVET run for all matrix 
elements, i.e. print the events for all ME parton  multiplicities, 
with the correct weights, to a single HepMC file. Since the correct 
weight includes the cross section of the different samples after 
Sudakov vetoes --- which is not a priori known --- the cross sections 
have to be  estimated in a test run, before the actual production run 
is performed. Finally, the cross section of the last event in the 
HepMC file has to be taken as the  full merged cross section 
sigma_merge = Sum_{i=0}^N Sum_{j=0}*^{nEvents} 
sigma_est(i)*wckkwl(j). 
 

             This procedure is outlined in main84.cc. 
 
Input LHE files with only very inclusive cuts pose further difficulties. For 
such files (which were already addressed under the heading Les Houches 
events outside the matrix element region), the cross section after 
the merging scale cut is not known before the cut is performed. Using Pythia's 
UserHooks facilities, it is possible to produce a valid estimate 
of the cross section after cuts. This however entails a careful cut definition 
by the user, which might become cumbersome for some in-built merging scale 
definitions. A reasonable alternative is using the switch 
 


            Merging:doXSectionEstimate  On
Off
   (default = off)
            
If on, estimate cross section after merging scale cut. This switch has to be 
used in conjunction with a merging scale definition (e.g. 
Merging:doPTLundMerging = on). Then, this merging scale 
definition will be used as a cut on the input events. After the requested 
number of Monte Carlo events, the cross section after the cut can be extracted 
by inferring the Info::sigmaGen() method, and the number of 
accepted events by using Info::nAccepted() 
   
 

             
This switch also relies on knowledge on how many partons a LHE file should 
contain. This is important for real-emission kinematics in the case of 
NLO merging. The number of (additional) partons in a LHE file can be set with 
 


            Merging:nRequested       (default = -1; minimum = -1)
            
Exact number of additional jets requested for a particular LHE file. If 
a file should for example only contain W+ g g  events, 
this switch should be set to "2" for this LHE file. For NLO merging 
schemes (see ";?>NLO Merging), this number has to 
be set. 
   
 

             
The usage of these switches to obtain the necessary cross section estimate is 
illustrated in main85.cc. The example main85.cc 
program is intended as a "front-end" for CKKW-L merging in Pythia8, so we will 
discuss the program briefly. main85.cc should be used together 
with an input file (like main85.cmnd). The executable should be 
invoked with three arguments: the input file, the "name" of the input LHE 
files, and the name of the output HepMC event file. To use the LHE files that 
are shipped with the Pythia distribution, a valid usage would be 

             
./main85.exe ./main85.cmnd ./w_production ./myhepmc.hepmc 

             
If you want to use other input LHE files, note 
that main85.cc assumes the naming 
convention name_tree_#nAdditionalJets.lhe. All settings can 
be included though the input file, so that main85.cc does not 
have to be changed explicitly. main85.cc first switches off 
showers, multiparton interactions and hadronisation, and estimates the cross 
sections (after enforcing the merging scale cut) of samples for different 
numbers of additional jets. Then, showers, MPI and hadronisation are switched 
on again, and the CKKW-L merging procedure is performed. Events will be read 
in a decreasing sequence of jet multiplicities, which also means that e.g. 
events with two additional partons in the LHE file will be printed to the 
HepMC file before events with one additional parton. 
 


             

            Further variables
             
 
For more advanced manipulations of the merging machinery, all 
parameter  changes that were investigated in [Lon11] are 
supplied. Please  check [Lon11] for a detailed discussion of 
the switches. 
 

             These switches allow enthusiastic users to perform a systematic 
assessment of the merging prescription. Apart from this, we advise the 
non-expert user to keep the default values. 
 


            Merging:nQuarksMerge       (default = 5; minimum = 2; maximum = 5)
            
This switch controls which quarks flavours (labelled by PDG id's) are 
considered additional partons. If e.g. set to 4, then u-, d-, c- and s-quarks 
will be merged, while b-quarks will not be considered in the merging 
(corresponding to a 4-flavour merging scheme). We advise caution when 
changing this number. In particular, please ensure that the allowed flavour 
for additional partons in the input LHE file does not exceed this value, since 
unnecessary double-counting might occur otherwise. 
   
 


            Merging:includeMassive  On
Off
   (default = on)
            
If on, use the correct massive evolution variable and massive 
splitting kernels in the reconstruction and picking of parton shower 
histories of the matrix  element. If off, reconstruct evolution 
scales, kinematics and splitting kernels  as if all partons were 
massless. 
   
 


            Merging:enforceStrongOrdering  On
Off
   (default = off)
            
If on, preferably pick parton shower histories of the matrix element 
which  have strongly ordered consecutive splittings, i.e. paths in 
which consecutive reclustered evolution scales are separated by a 
user-defined factor. 
   
 


            Merging:scaleSeparationFactor      (default = 1.0; minimum = 1.0; maximum = 10.0)
            
The factor by which scales should differ to be classified as strongly 
ordered. 
   
 


            Merging:orderInRapidity  On
Off
   (default = off)
            
If on, preferably pick parton shower histories of the matrix element 
with  consecutive splittings ordered in rapidity and pT. 
   
 


            Merging:pickByFullP  On
Off
   (default = on)
            
If on, pick parton shower histories of the matrix element by the full 
shower  splitting kernels, including potential ME corrections and 
Jacobians from joined evolution measures. 
   
 


            Merging:pickByPoPT2  On
Off
   (default = off)
            
If on, pick parton shower histories of the matrix element by the 
shower  splitting kernels divided by the evolution pT. 
   
 


            Merging:pickBySumPT  On
Off
   (default = off)
            
If on, exclusively pick parton shower histories of the matrix element 
for which have the smallest sum of scalar evolution pT for 
consecutive splittings has been calculated. 
   
 


            Merging:includeRedundant  On
Off
   (default = off)
            
If on, then also include PDF ratios and αs 
factors in the  splitting probabilities used for picking a parton shower 
history of the matrix  element, when picking histories by the full shower 
splitting probability. As argued in  [Lon11], this should not 
be done since a reweighting with PDF ratios and αs 
factors will be performed. However, it can give useful insight in how 
sensitive the results  are to the prescription on how to choose PS 
histories. 
   
 


            Merging:nonJoinedNorm      (default = 1.0; minimum = 0.0; maximum = 10.0)
            
Normalisation factor with which to multiply splitting probability for 
splittings without joined evolution equation. 
   
 


            Merging:fsrInRecNorm      (default = 1.0; minimum = 0.0; maximum = 10.0)
            
Normalisation factor with which to multiply splitting probability for 
final state splittings with an initial state recoiler. 
   
 


            Merging:aCollFSR      (default = 1.0; minimum = 0.0; maximum = 10.0)
            
Factor with which to multiply the scalar pT of a final state 
splitting, when choosing the history by the smallest sum of scalar 
pT. Default value taken from Herwig++ [Tul09]. 
   
 


            Merging:aCollISR      (default = 0.9; minimum = 0.0; maximum = 10.0)
            
Factor with which to multiply the scalar pT of an initial state 
splitting, when choosing the history by the smallest sum of scalar 
pT. Default value taken from Herwig++ [Tul09]. 
   
 


            Merging:unorderedScalePrescrip      (default = 0; minimum = 0; maximum = 1)
            
When the parton shower history of the matrix element contains a 
sequence of splittings which are not ordered in evolution pT 
(called an unordered history), this sequence is interpreted as a combined 
emission. Then, a decision on which starting scale for trial emissions 
off reconstructed states in this sequence of unordered splittings has 
to be made. Two options are available: 

            
0 :  Use larger of the two reconstructed (unordered)  scales as  starting scale.  
            
1 :  Use smaller of the two reconstructed (unordered)  scales as  starting scale.  
            
 


            Merging:unorderedASscalePrescrip      (default = 1; minimum = 0; maximum = 1)
            
Prescription which scale to use to evaluate αs 
weight for  splittings in a sequence of splittings which are not ordered 
in evolution pT. 

            
0 :  Use the combined splitting scale as argument in  αs, for both splittings.  
            
1 :  Use the true reconstructed scale  as as argument in  αs, for each splitting separately.  
            
 


            Merging:unorderedPDFscalePrescrip      (default = 0; minimum = 0; maximum = 1)
            
Prescription which scale to use to evaluate ratios of parton distributions 
for splittings in a sequence of splittings which are not ordered 
in evolution pT. 

            
0 :  Use the combined splitting scale as argument in PDF ratios,  for both splittings.  
            
1 :  Use the true reconstructed scale as argument in PDF  ratios, for each splitting separately.  
            
 


            Merging:incompleteScalePrescrip      (default = 0; minimum = 0; maximum = 2)
            
When no complete parton shower history (i.e. starting from a 
2 → 2 process)  for a matrix element with additional jets 
can be found, such a configuration is said to have an incomplete history. 
Since in incomplete histories, not all  shower starting scales are 
determined by clusterings, a prescription for setting the starting scale 
of trial showers in incomplete histories is needed. Three options are 
provided. 

            
0 :  Use factorisation scale as shower starting scale  for  incomplete histories.  
            
1 :  Use sHat as shower starting scale for  incomplete histories.  
            
2 :  Use s as shower starting scale for  incomplete histories.  
            
 


            Merging:allowColourShuffling  On
Off
   (default = off)
            
If on, this will allow the algorithm to swap one colour index in the state, 
when trying to find all possible clusterings, if no clustering has been 
found, but more clusterings had been requested. In this way, some incomplete 
histories can be avoided. Generally, we advise the non-expert user to not 
touch this switch, because a slight change in the colour structure can change 
the radiation pattern. To however study the sensitivity of the predictions on 
these effects, allowing for colour reshuffling can be useful. 
   
 


            Merging:usePythiaQRenHard  On
Off
   (default = on)
            
If on, this will allow the algorithm to use a dynamical renormalisation scale 
to evaluate the strong couplings of the core hard process in dijet and 
prompt photon events. 
This means that the value of αs used as coupling 
of the hard process in the matrix element generation will be replaced with 
a running coupling evaluated at the geometric mean of the squared transverse 
masses of the two outgoing particles, as is the default prescription in 
Pythia. 
   
 


            Merging:usePythiaQFacHard  On
Off
   (default = on)
            
If on, this will allow the algorithm to use a dynamical factorisation scale 
to evaluate parton distributions associated with the hadronic cross section 
of the core hard process in dijet and prompt photon events. 
In the calculation of PDF ratios as part of the CKKW-L weight of an event, 
parton distributions that should be evaluated at the scale of the core 
2 - >2 process will be evaluated using the dynamical factorisation scale 
Pythia would attribute to this process. This means that the hard process 
factorisation scale is set to the smaller of the squared transverse masses 
of the two outgoing particles. 
   
 


            Merging:mayRemoveDecayProducts  On
Off
   (default = off)
            
Remove products of resonances in the hard process, in case Pythia generates 
decay products before merging. This makes merging possible even for an 
indeterminate final state, if Pythia itself has produced the decay products. 
The merging methods will instead be invoked on the "non-decayed" event, 
thus removing the limitation to only one decay channel when performing 
the merging. 
This switch is necessary e.g. for slepton pair production in association with 
additional QCD jets, if the input LHE file contains the resonant sleptons, 
and Pythia decides on a decay according to the branching fractions read from 
SLHA input. 
   
 


            Merging:allowSQCDClustering  On
Off
   (default = off)
            
Allow clustering of gluon emission off squarks. 
   
 


            Merging:allowWClustering  On
Off
   (default = off)
            
Allow clustering of W boson, if interpreted as a final state emission. This 
switch should not be used until electro-weak showers become available. 
   
 


"?>


            

            




 
 
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Index






SETTINGS SAVED TO FILE

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?>


            
 
Pythia logo 
 

            PYTHIA 8 Index
             
 

            Program Overview
             
 
Frontpage
             
Program Flow
             
Settings Scheme
             
Particle Data Scheme
             
Program Files
             
Program Classes
             
Program Methods
             
Sample Main Programs
             
 

            Setup Run Tasks
             
 
Save Settings
             
Main-Program Settings
             
Beam Parameters
             
Random-Number Seed
             
PDF Selection
             
Master Switches
             
Process Selection
             
  --   
QCD
             
  --   
Electroweak
             
  --   
Onia
             
  --   
Top
             
  --   
Fourth Generation
             
  --   
Higgs
             
  --   
SUSY
             
  --   
New Gauge Bosons
             
  --   
Left-Right Symmetry
             
  --   
Leptoquark
             
  --   
Compositeness
             
  --   
Hidden Valleys
             
  --   
Extra Dimensions
             
A Second Hard Process
             
Phase Space Cuts
             
Couplings and Scales
             
Standard-Model Parameters
             
Total Cross Sections
             
Resonance Decays
             
Timelike Showers
             
Spacelike Showers
             
Weak Showers
             
Multiparton Interactions
             
Beam Remnants
             
Diffraction
             
Fragmentation
             
Flavour Selection
             
Particle Decays
             
R-hadrons
             
Bose-Einstein Effects
             
Hadron Scattering
             
Particle Data
             
Error Checks
             
Tunes
             

";?>
 

            Study Output
             
 
Four-Vectors
             
Particle Properties
             
Event Record
             
Event Information
             
Event Statistics
             
Event Analysis
             
Histograms
             
Advanced Usage
             

";?>
 

            Link to Other Programs
             
 
Les Houches Accord
             
SUSY Les Houches Accord
             
HepMC Interface
             
Semi-Internal Processes
             
Semi-Internal Resonances
             
MadGraph 5 Processes
             
Alpgen Event Interface
             
Matching and Merging
             
  --   
POWHEG Merging
             
  --   
CKKW-L Merging
             
  --   
Jet Matching
             
  --   
UMEPS Merging
             
  --   
NLO Merging
             
User Hooks
             
Hadron-Level Standalone
             
External Decays
             
Beam Shape
             
Parton Distributions
             
Jet Finders
             
Random Numbers
             
Implement New Showers
             
RIVET usage
             
ROOT usage
             

";?>
 

            Reference Materiel
             
 
Update History
             
Bibliography
             
Glossary
             
Version 
 

            Separate documents
             
 
Brief Introduction
             
Worksheet 
 


 
 
pythia8-8.1.86.orig/phpdoc/SettingsScheme.php0000644000175000017500000005746412357553536017310 0ustar  sunsun

The Settings Scheme






SETTINGS SAVED TO FILE

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?>



            The Settings Scheme
             
 
The Settings class keeps track of all the flags, modes, 
parameters and words used during the event generation. As such, it 
serves all the Pythia program elements from one central 
repository. Accessing it allows the user to modify the generator 
behaviour. 
 

             
Each Pythia object has a public member settings 
of the Settings class. Therefore you access the 
settings methods as pythia.settings.command(argument), 
assuming that pythia is an instance of the Pythia 
class. Further, for the most frequent user tasks, Pythia 
methods have been defined, so that pythia.command(argument) 
would work, see further below. 
 

             
The central section on this page is the Operation one. The preceding 
concepts section is there mainly to introduce the basic structure and 
the set of properties that can be accessed. The subsequent sections 
provide a complete listing of the existing public methods, which most 
users probably will have little interaction with. 
 

            Concepts
             
 
We distinguish seven kinds of user-modifiable variables, by the way 
they have to be stored: 

               

            1. Flags are on/off switches, and are stored as bool.
              2.  

            2. Modes corresponds to a finite enumeration of separate options, 
and are stored as int.
              3.  

            3. Parameters take a continuum of values, and are stored as 
double. The shorthand notation parm is used in the C++ 
code and XML tags.
              4.  

            4. Words are simple character strings and are stored as 
string. No blanks or double quotation marks (") may 
appear inside a word, the former to simplify parsing of an input file 
and the latter not to cause conflicts with XML attribute delimiters. 
Currently the main application is to store file names.
              5.  

            5. Vectors of flags take a variable length, and are stored as 
vector<bool>. The shorthand notation fvec is used 
in the C++ code and XML tags. When the vector is input as a string, 
all the values have to be given as a comma-separated list with no blanks, 
to simplify parsing.
              6.  

            6. Vectors of modes take a variable length, and are stored as 
vector<int>. The shorthand notation mvec is used 
in the C++ code and XML tags. When the vector is input as a string, 
all the values have to be given as a comma-separated list with no blanks, 
to simplify parsing.
              7.  

            7. Vectors of parameters take a variable length and for each element 
a continuum of values, and are stored as vector<double>. 
The shorthand notation pvec is used in the C++ code and XML tag. 
When the vector is input as a string, all the values have to be given 
as a comma-separated list with no blanks, to simplify parsing.
              8.  

             
Note that all shorthands have been chosen four letters long. 
 

             
In general, each variable stored in Settings is associated 
with four kinds of information: 

               

            • The variable name, of the form class:name 
(or file:name, usually these agree), e.g. 
TimeShower:pTmin. The class/file part usually identifies 
the .xml file where the variable is defined, and the part of 
the program where it is used, but such a connection cannot be strictly 
upheld, since e.g. the same variable may be used in a few different 
cases (even if most of them are not).
              •  

            • The default value, set in the original declaration, and intended 
to represent a reasonable choice.
              •  

            • The current value, which differs from the default when the user so 
requests.
              •  

            • An allowed range of values, represented by meaningful 
minimum and maximum values. This has no sense for a flag,
an fvec or a word (and is not used there), is 
usually rather well-defined for a mode or mvec, 
but less so for a parm or pvec. Often the allowed 
range exaggerates the degree of our current knowledge, so as not to restrict 
too much what the user can do. One may choose not to set the lower or 
upper limit, in which case the range is open-ended.
              •  

             
 

             
Technically, the Settings class is implemented with the 
help of seven separate maps, one for each kind of variable, with the 
variable name used as key. 
 

            Operation
             
     
The normal flow of setting values is: 
 

               
 

               
            1.  
When a Pythia object pythia is created, 
the member pythia.settings is asked to scan the files 
listed in the Index.xml file in the xmldoc 
subdirectory. 
 

               
In all of the files scanned, lines beginning with 
<flag, <mode, <parm, 
<word, <fvec, <mvec or 
<pvec are identified, and the information on such a line 
is used to define a new flag, mode, parameter, word, or vector of flags, 
modes or parameters. To exemplify, consider a line 

               
<parm name="TimeShower:pTmin" default="0.5" min="0.1" max="2.0"> 

               
which appears in the TimeShower.xml file, and there 
defines a parameter TimeShower:pTmin with default value 
0.5 GeV and allowed variation in the range 0.1 - 2.0 GeV. The min 
and max values are optional. 

              Important: the values in the .xml files should 
not be changed, except by the PYTHIA authors. Any changes should be 
done with the help of the methods described below. 

              2.  
 

               
            2.  
Between the creation of the Pythia object and the 
init call for it, you may use several alternative 
methods to modify some of the default values. The same variable 
can be changed several times. If so, it is the last read value 
that counts. The two special 
";?>Tune:ee and 
";?>Tune:pp modes and the 
";?>Print:quiet flag 
are expanded to change several settings in one go, but these obey 
the same ordering rules. 
 

               
a) Inside your main program you can directly set values with 

               
    pythia.readString(string) 

               
where both the variable name and the value are contained inside 
the character string, separated by blanks and/or a =, e.g. 

               
    pythia.readString("TimeShower:pTmin = 1.0"); 

               
The match of the name to the database is case-insensitive. Names 
that do not match an existing variable are ignored. A warning is 
printed, however. Strings beginning with a non-alphanumeric character, 
like # or !, are assumed to be comments and are not processed at all. 
Values below the minimum or above the maximum are set at 
the respective border. For bool values, the following 
notation may be used interchangeably: 
true = on = yes = ok = 1, while everything else gives 
false (including but not limited to 
false, off, no and 0).
               
 

               
b) The Pythia readString(string) method 
actually does not do changes itself, but sends on the string either 
to the Settings class or to ParticleData. 
The former holds if the string begins with a letter, the latter 
if it begins with a digit. If desired, it is possible to communicate 
directly with the corresponding Settings method: 

               
    pythia.settings.readString("TimeShower:pTmin = 1.0"); 

               
In this case, changes intended for ParticleData 
would not be understood. 
 

               
c) Underlying the settings.readString(string) method are 
the settings-type-sensitive commands in the Settings, that 
are split by names containing flag, mode, 
parm or word. Thus, the example now reads 

               
    pythia.settings.parm("TimeShower:pTmin", 1.0); 

               
Such a form could be convenient e.g. if a parameter is calculated 
at the beginning of the main program, and thus is available as a 
variable rather than as a character string. 
Note that Boolean values must here be given as true or 
false i.e. there is less flexibility than with the 
previous methods. 
 

               
At the same level, there are several different methods available. 
These are included in the full description below, but normally the user 
should have no need for them. 
 

               
d) A simpler and more useful way is to collect all your changes 
in a separate file, with one line per change, e.g. 

               
    TimeShower:pTmin = 1.0 

               
Each line is read in as a string and processed with the methods already 
introduced. 
 
The file can be read by the 

               
    pythia.readFile(fileName); 

               
method (or an istream instead of a fileName). 
The file can freely mix commands to the Settings and 
ParticleData classes, and so is preferable. Lines with 
settings are handled by calls to the 
pythia.settings.readString(string) method. 
 

               
A file can make use of two extra features that are not available with the 
readString(...) method. One is the possibility to provide 
information for several distinct ";?>subruns.  
The other is the possibility to comment out a section of lines in the file. 
The first line of the commented section should then begin by /* 
and the last begin by */. This is reminiscent of the convention
used in C++ and other languages, but is not as powerful, in that it is not
possible to comment in or out parts of lines. It is only the first two 
non-blank characters of a line that are checked for a match, and a line
beginning with */ is counted as part of the commented section.  
To avoid mistakes it is best to keep /* and */ 
on lines of their own, optionally followed by comments, but not by commands.

              3.  
 

               
            3.  
In the pythia.init(...) call, many of the various other program 
elements are initialized, making use of the current values in the database. 
Once initialized, the common Settings database is likely not 
consulted again by these routines. It is therefore not productive to do 
further changes in mid-run: at best nothing changes, at worst you may 
set up inconsistencies. 
 

               
A routine reInit(fileName) is provided, and can be used to 
zero all the maps and reinitialize them from scratch. Such a call might be 
useful if several subruns are to be made with widely different parameter 
sets - normally the maps are only built from scratch once, namely when the 
Pythia() object is created. A more economical alternative is 
offered by resetAll(), however, which sets all variables back 
to their default values. 

              4.  
 

               
            4.  
You may at any time obtain a listing of all variables in the 
database by calling 

               
    pythia.settings.listAll(); 

               
The listing is strictly alphabetical, which at least means that names 
from the same file are kept together, but otherwise may not be so 
well-structured: important and unimportant ones will appear mixed. 
A more relevant alternative is 

               
    pythia.settings.listChanged(); 

               
where you will only get those variables that differ from their 
defaults. Or you can use 

               
    pythia.settings.list("string"); 

               
where only those variables with names that contain the string 
(case-insensitive match) are listed. Thus, with a string 
shower, the shower-related variables would be shown. 

              5.  
 

               
            5.  
The above listings are in a tabular form that cannot be read 
back in. Assuming you want to save all changed settings (maybe because 
you read in changes from several files), you can do that by calling 

               
    pythia.settings.writeFile(fileName); 

               
This file could then directly be read in by 
readFile(fileName) in a subsequent (identical) run. 
Some variants of this command are listed below. 

              6.  

             
 

            Methods
             
 
The complete list of methods and arguments is as follows. Most of the 
ones of interest to the user have already been mentioned above. 
Others can be used, but the same functionality is better achieved 
by higher-level routines. Some are part of the internal machinery, 
and should not be touched by user. 
 

             
Note that there is no Settings::readFile(...) method. 
The intention is that you should use Pythia::readFile(...). 
It parses and decides which individual lines should be sent on to 
Settings::readString(...). 
 


            Settings::Settings()   
            
the constructor, which takes no arguments. Internal. 
   
 


            bool Settings::initPtr(Info* infoPtrIn)   
            
initialize pointer to error-message database. Internal. 
   
 


            bool Settings::init(string startFile = "../xmldoc/Index.xml", bool append = false, ostream& os = cout)   
            
read in the settings database. 

            argument startFile  (default = "../xmldoc/Index.xml") :  
read in the settings from all the files listed in this file, and 
assumed to be located in the same subdirectory. 
   

            argument append  (default = false) :  
By default nothing is done if the method has already been called once. 
If true the further settings read in are added to the current database. 
   

            argument os  (default = cout) :  
stream for error printout. 
   

            Note: The method returns false if it fails. 
   
 


            bool Settings::reInit(string startFile = "../xmldoc/Index.xml", ostream& os = cout)   
            
overwrite the existing database. 

            argument startFile  (default = "../xmldoc/Index.xml") :  
read in the settings from all the files listed in this file, and 
assumed to be located in the same subdirectory. 
   

            argument os  (default = cout) :  
stream for error printout. 
   

            Note: The method returns false if it fails. 
   
 


            bool Settings::readString(string line, bool warn = true, ostream& os = cout)   
            
read in a string, and change the relevant quantity in the database. 
It is normally used indirectly, via 
Pythia::readString(...) and 
Pythia::readFile(...). 

            argument line   :  
the string to be interpreted as an instruction. 
   

            argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. 
   

            argument os  (default = cout) :  
stream for error printout. 
   

            Note: the method returns false if it fails to 
make sense out of the input string. 
   
 


            bool Settings::writeFile(string toFile, bool writeAll = false)   
            
   
bool Settings::writeFile(ostream& os = cout, bool writeAll = false)   
            
write current settings to a file or to an ostream. 

            argument toFile, os   :  
file or stream on which settings are written. 
   

            argument writeAll  (default = false) :  
normally only settings that have been changed are written, 
but if true then all settings are output. 
   

            Note: the method returns false if it fails. 
   
 


            void Settings::listAll(ostream& os = cout)   
            
   
void Settings::listChanged(ostream& os = cout)   
            
   
void Settings::list(string match, ostream& os = cout)   
            
list all or changed settings, or a group of them. 

            argument match   :  
list all those settings where the name contains 
the match (sub)string (case-insensitive). 
   

            argument os  (default = cout) :  
output stream for the listing. 
   
   
 


            void Settings::resetAll()   
            
reset all current values to their defaults. 
   
 


            bool Settings::isFlag(string key)   
            
   
bool Settings::isMode(string key)   
            
   
bool Settings::isParm(string key)   
            
   
bool Settings::isWord(string key)   
            
   
bool Settings::isFVec(string key)   
            
   
bool Settings::isMVec(string key)   
            
   
bool Settings::isPVec(string key)   
            
return true if an entry of the given name and kind 
exists, else false. 
   
 


            void Settings::addFlag(string key, bool default)   
            
   
void Settings::addMode(string key, int default, bool hasMin, bool hasMax, int min, int max)   
            
   
void Settings::addParm(string key, double default, bool hasMin, bool hasMax, double min, double max)   
            
   
void Settings::addWord(string key, string default)   
            
   
void Settings::addFVec(string key, vector<bool> default)   
            
   
void Settings::addMVec(string key, vector<int> default, bool hasMin, bool hasMax, int min, int max)   
            
   
void Settings::addPVec(string key, vector<double> default, bool hasMin, bool hasMax, double min, double max)   
            
add an entry of the respective kind to the database. The name and default 
value(s) always has to be supplied, for Mode, Parm, 
MVec and PVec additionally if lower and/or 
upper limits are to be imposed and, if so, what those limit are. 
   
 


            bool Settings::flag(string key)   
            
   
int Settings::mode(string key)   
            
   
double Settings::parm(string key)   
            
   
string Settings::word(string key)   
            
   
vector<bool> Settings::fvec(string key)   
            
   
vector<int> Settings::mvec(string key)   
            
   
vector<double> Settings::pvec(string key)   
            
return the current value(s) of the respective setting. If the name 
does not exist in the database, a value false, 
0, 0., " ", or a 
vector of length 1 and value false, 0 or 
0., respectively, is returned. 
   
 


            bool Settings::flagDefault(string key)   
            
   
int Settings::modeDefault(string key)   
            
   
double Settings::parmDefault(string key)   
            
   
string Settings::wordDefault(string key)   
            
   
vector<bool> Settings::fvecDefault(string key)   
            
   
vector<int> Settings::mvecDefault(string key)   
            
   
vector<double> Settings::pvecDefault(string key)   
            
return the default value(s) of the respective setting. If the name 
does not exist in the database, a value false, 
0, 0., " ", or a 
vector of length 1 and value false, 0 or 
0., respectively, is returned. 
   
 


            map Settings::getFlagMap(string match)   
            
   
map Settings::getModeMap(string match)   
            
   
map Settings::getParmMap(string match)   
            
   
map Settings::getWordMap(string match)   
            
   
map Settings::getFVecMap(string match)   
            
   
map Settings::getMVecMap(string match)   
            
   
map Settings::getPVecMap(string match)   
            
return a map of all settings of the respective type that contain the 
string "match" in its name. 
   
 


            void Settings::flag(string key, bool now)   
            
   
void Settings::mode(string key, int now)   
            
   
void Settings::parm(string key, double now)   
            
   
void Settings::word(string key, string now)   
            
   
void Settings::fvec(string key, vector<bool> now)   
            
   
void Settings::mvec(string key, vector<int> now)   
            
   
void Settings::pvec(string key, vector<double> now)   
            
change the current value(s) of the respective setting to the provided 
new value(s). If lower or upper limits have been set, input values 
outside the allowed range are reinterpreted as being a the nearest 
limit. 
   
 


            void Settings::forceMode(string key, int now)   
            
   
void Settings::forceParm(string key, double now)   
            
   
void Settings::forceMVec(string key, vector<int> now)   
            
   
void Settings::forcePVec(string key, vector<double> now)   
            
as above, but do not check lower and upper limits, so that the current 
value(s) can be put outside the intended borders. 
   
 


            void Settings::resetFlag(string key)   
            
   
void Settings::resetMode(string key)   
            
   
void Settings::resetParm(string key)   
            
   
void Settings::resetWord(string key)   
            
   
void Settings::resetFVec(string key)   
            
   
void Settings::resetMVec(string key)   
            
   
void Settings::resetPVec(string key)   
            
reset the current value to the default one. 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/AlpgenEventInterface.php0000644000175000017500000003721012357553536020377 0ustar  sunsun 


ALPGEN Event Interface






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            ALPGEN Event Interface
             
 
This manual page describes the ALPGEN [Man03] event interface 
for PYTHIA8.   While future versions of 
ALPGEN will be able to write out events in LHEF format, previous 
versions always output events in an ALPGEN native format (a combination 
of a ".unw" and a "_unw.par" file). The ALPGEN component of this code 
contains a reader for this native format (for unweighted events), as 
well as parameter reading for both ALPGEN native and LHE file formats. 
The reader was designed to work together with an implementation of 
the ALPGEN-style parton-jet matching JetMatchingAlpgen 
described on the ";?>Jet Matching 
page. However, it will also work with a implementation of the 
Madgraph-style [Alw11] parton-jet matching 
JetMatchingMadgraph also described on the 
";?>Jet Matching page. 
A sensible choice of JetMatching parameters is needed 
when using ALPGEN files with Madgraph-style matching and vice versa. 
 

             
It should be noted that all the functionality described here is provided 
through external routines, and therefore the presence of these features is 
dependent on the main program being used. This structure allows for the 
easy extensibility of the merging scheme. The files of interest are located 
in the examples/ subdirectory: 

               

            •  
GeneratorInput.h : provides three classes for the reading of 
ALPGEN event and parameter files. LHAupAlpgen is an 
";?>LHAup derived 
class for reading in ALPGEN native format event files. 
AlpgenPar is a class for the parsing of ALPGEN parameter 
files, making the information available through a simple interface. 
AlpgenHooks is a 
";?>UserHooks derived class that 
provides the Alpgen:* options, described below. Further 
technical details of these classes are given at the end of this manual 
page. 

              •  

            •  
main32.cc, main32.cmnd : a sample main program and card 
file showing the usage of previous file and an MLM UserHooks 
class. In combination, it reads in a sample ALPGEN (or Madgraph) event file 
while performing the MLM merging procedure as implemented in ALPGEN 
(or as in Madgraph). Some commented-out sets of options are provided 
in the card file, which can be activated to try different merging setups. 

              •  

            •  
main32.unw, main32_unw.par : an ALPGEN format event and 
parameter file containing 100 W + 3 jet events. It is not feasible 
to package large event files with the PYTHIA distribution, but this 
sample is enough to show the different components in action. 

              •  

             
 

            ALPGEN main options
             
 
These following options are provided by the AlpgenHooks class, 
which must be loaded for this functionality to be present 
 

             
ALPGEN event files that have been written out in LHEF format should be 
read in through the normal LHEF machinery 
(see ";?>Beam Parameters). Files in 
ALPGEN's native format, instead, may be processed using the 
Alpgen:file option below. When using this option, the 
ALPGEN parameter file is stored in the PYTHIA Info object under the key 
AlpgenPar, see the "Header information" section of the 
";?>Event Information manual page for 
more details. Processes not implemented by the PYTHIA 6 interface 
supplied with ALPGEN are also not implemented here. 
 

             
When reading in ALPGEN native event files, some momenta are shifted by 
the file reader to ensure energy-momentum conservation. The magnitude of 
these shifts should be small (around the MeV level in the worst case) 
and warnings will be produced if they are above a set threshold. A large 
number of warnings may signify unexpected behaviour and should 
potentially be investigated. It is also known that certain event 
classes, for example an event with both light and heavy b 
quarks may give rise to these warnings. 
 

             
The ALPGEN file reader supports the reading of the event and parameter 
files in gzip format with file extensions ".unw.gz" and "_unw.par.gz" 
respectively. This requires the use of external libraries, however, and 
the README file in the main directory contains instructions 
on how to enable this. 
 

             
All other Alpgen:* options apply to both LHE and native 
file formats, and include options to guide the MLM merging procedure 
based on the parameters that are read in with the events file. 
 


            Alpgen:file       (default = void)
            
This option is used to read in ALPGEN format event files. Using this option 
overrides any previously set beam options inside PYTHIA. The path to the 
files, not including any file extension, should be provided e.g. for input 
files input_unw.par and input.unw, the value 
input should be used. 
   
 


            Alpgen:setLightMasses  On
Off
   (default = off)
            
When switched on, c and b quark masses provided 
by ALPGEN are set in the PYTHIA 
";?>particle database. 
Since ALPGEN may set these two masses to vanish, the parton shower
programs have been provided with some protection, but other parts of
the code may not be as fortunate. You should therefore only switch on 
this option if you know what you are doing.
   
 


            Alpgen:setHeavyMasses  On
Off
   (default = on)
            
When switched on, t, Z, W and H 
masses provided by ALPGEN are set in the PYTHIA 
";?>particle database. 
   
 


            Alpgen:setMLM  On
Off
   (default = on)
            
When switched on, the merging parameters (see below) are set according to 
the ALPGEN hard process cuts: 

               

            •  JetMatching:eTjetMin = min(ptjmin + 5., 1.2 * ptjmin), 
              •  

            •  JetMatching:coneRadius = drjmin, 

            •  JetMatching:etaJetMax = etajmax. 

             
where the ptjmin, drjmin and 
etajmax are the incoming ALPGEN parameters. Note that any 
existing values of these parameters are overwritten. 
   
 


            Alpgen:setNjet  On
Off
   (default = on)
            
When switched on, the JetMatching:nJet parameter (see below) 
is set to the incoming njet ALPGEN parameter. Note that any 
existing value of this parameter is overwritten. 
   
 

            Class information
             
 
Some more technical information about the different classes is given 
below. For clarity, some limited information on certain private methods 
is provided. 
 

            LHAupAlpgen
             
 
This class is derived from the 
";?>LHAup base class, and 
uses the standard machinery to pass initialisation and event data to 
PYTHIA. These standard functions are not documented here. The complete 
parameter file is stored in the PYTHIA Info object, if given, under the 
key AlpgenPar. 
 


            LHAupAlpgen::LHAupAlpgen(const char *baseFNin, Info *infoPtrIn = NULL)   
            
The constructor for the class takes the base filename for the ALPGEN 
format files (without file extensions) and optionally a pointer to a 
PYTHIA Info class, used for warning/error message printing and for 
storing the ALPGEN parameter file. The event and 
parameter files are opened immediately, with the AlpgenPar 
class, described below, used to parse the parameter file. 
   
 


            bool LHAupAlpgen::addResonances()   
            
This is a private method used when an event is read in. The information 
read from the event file does not always contain a complete listing of 
all particles and four-momenta, and so various details must be 
reconstructed. Exactly which details are filled in can vary based on the 
ALPGEN process in question. 
   
 


            bool LHAupAlpgen::rescaleMomenta()   
            
This is another private method used when an event is read in. 
It shuffles and rescales momenta in an event to ensure energy-momentum 
conservation.  First, pT is made to balance by splitting any 
imbalance between all outgoing particles with their energies also 
scaled. Second, the e/pZ of the two incoming particles are 
scaled to balance the outgoing particles. Finally, any intermediate 
resonances are recalculated from their decay products. 
   
 

            AlpgenPar
             
 
This class parses an ALPGEN parameter file and makes the information 
available through a simple interface. The information is stored 
internally in key/value (string/double) format. All lines prior to: 

              ************** run parameters 
             
are ignored, and in the general case, a line e.g. 

              10   3.00000000000000        ! njets
             
would be stored with key "njets" and value "3.0". The following lines 
are special cases where the line may be split or the key translated: 

             
  3 ! hard process code 
  0.000   4.700 174.300  80.419  91.188 120.000 ! mc,mb,mt,mw,mz,mh 
  912.905 0.0914176   ! Crosssection +- error (pb) 
  100 29787.4  ! unwtd events, lum (pb-1) Njob= 2 

             
In the first line, the key "hard process code" is translated to 
"hpc". In the second, the mass values are split and each given an entry 
in the internal store. In the third, the cross section and cross section 
error are stored under the keys "xsecup" and "xerrup" respectively. 
Finally, the number of events and luminosity are stored under the keys 
"nevent" and "lum" respectively. In the event that a duplicate key is 
present, with differing values, the stored value is overwritten and a 
warning given. 
 


            AlpgenPar::AlpgenPar(Info *infoPtrIn = NULL)   
            
The constructor does nothing except for store the PYTHIA Info 
pointer, if given. This is used for warning/error message printing. 
   
 


            bool AlpgenPar::parse(const string paramStr)   
            
This method parses an ALPGEN parameter file. The parameter file is 
passed as a single string, mainly intended to be read out from the 
PYTHIA Info object using the header information methods. 
   
 


            bool AlpgenPar::haveParam(const string &paramIn)   
            
Method to check if a parameter with key paramIn is present. 
Returns true if present, else false. 
   
 


            double AlpgenPar::getParam(const string &paramIn)   
            
   
int AlpgenPar::getParamAsInt(const string &paramIn)   
            
Return the parameter with key paramIn as a double or 
integer. The presence of a parameter should have already been checked 
using the haveParam() function above. If the parameter is 
not present, 0 is returned. 
   
 


            void AlpgenPar::void printParams()   
            
Method to print a list of stored parameters. 
   
 

            AlpgenHooks
             
 
This ";?>UserHooks derived class 
provides all the Alpgen:* options. It is provided as a 
UserHooks class such that the code works regardless of whether ALPGEN 
native or LHE file formats are used. It is declared with virtual 
inheritance so that it may be combine with other UserHooks classes, see 
the "Combining UserHooks" section below. 
 


            AlpgenHooks(Pythia &pythia)   
            
The constructor takes a PYTHIA object as input, so that the beam 
parameter settings can be overridden if the Alpgen:file 
option is given. If this is the case, an LHAupAlpgen 
instance is automatically created and passed to PYTHIA. 
   
 


            bool initAfterBeams()   
            
This is the only UserHooks method that is overridden. It is called 
directly after PYTHIA has initialised the beams, and therefore the 
header information should be present in the PYTHIA Info object. The 
AlpgenPar class is used to parse ALPGEN parameters, if 
present, which are then used to set further PYTHIA settings. 
   
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/GUIDELINES0000644000175000017500000001105212357054750015176 0ustar  sunsun
               MCNET GUIDELINES

      for Event Generator Authors and Users


    PREAMBLE

This generator has been developed as part of an academic research
project and is the result of many years of work by the authors.
Proper academic recognition is a requirement for its continued
development.

The components of the program have been developed to work together
as a coherent physics framework. We believe that the creation of
separately maintained forks or piecewise distribution of individual
parts would diminish their scientific value.

The authors are convinced that software development in a scientific
context requires full availability of all source code, to further
progress and to allow local modifications to meet the specific
requirements of the individual user.

Therefore we have decided to release this program under the
GNU General Public License (GPL) version 2. This ensures
that the source code will be available to you and grants you the
freedom to use and modify the program. You can redistribute your
modified versions as long as you retain the GPL and respect existing
copyright notices (see the file 'COPYING' for details).

By using the GPL, we entrust you with considerable freedom and expect
you to use it wisely, since the GPL does not address the issues in
the first two paragraphs. To remedy this shortcoming, we have
formulated the following guidelines relevant for the distribution
and usage of event generator software in an academic setting.


    GUIDELINES

1) The integrity of the program should be respected.
    -------------------------------------------------

1.1) Suspected bugs and proposed fixes should be reported back to the
    original authors to be considered for inclusion in the standard
    distribution.  No independently developed and maintained forks
    should be created as long as the original authors actively work on
    the program.

1.2) The program should normally be redistributed in its entirety.
    When there are special reasons, an agreement should be sought with
    the original authors to redistribute only specific parts. This
    should be arranged such that the redistributed parts remain
    updated in step with the standard distribution.

1.3) Any changes in the code must be clearly marked in the source
   (reason, author, date) and documented. If any modified version is
   redistributed it should be stated at the point of distribution
   (download link) that it has been modified and why.

1.4) If a significant part of the code is used by another program,
    this should be clearly specified in that program's documentation and
    stated at its point of distribution.

1.5) Copyright information and references may not be removed.
    Copyright-related program messages may not be altered and must be
    printed even if only a part of the program is used. Adding further
    messages specifying any modifications is encouraged.


2) The program and its physics should be properly cited when used for
    academic publications
    ------------------------------------------------------------------

2.1) The main software reference as designated by the program authors
    should always be cited.

2.2) In addition, the original literature on which the program is based
    should be cited to the extent that it is of relevance for a study,
    applying the same threshold criteria as for other literature.

2.3) When several programs are combined, they should all be mentioned,
    commensurate with their importance for the physics study at hand.

2.4) To make published results reproducible, the exact versions of the
    codes that were used and any relevant program and parameter
    modifications should be spelled out.


    POSTSCRIPT

The copyright license of the software is the GPL v2 alone, therefore
the above guidelines are not legally binding. However, we reserve the
right to criticize offenders. The guidelines should always be combined
with common sense, for interpretation and for issues not covered.
Enquiries regarding the guidelines and related issues are encouraged
and should be directed to the authors of the program.

Please note that the program, including all its code and documentation,
is intended for academic use and is delivered "as is" to be used at 
your own risk, without any guarantees.

----------------------------------------------------------------------

These guidelines were edited by Nils Lavesson and David Grellscheid
for the MCnet collaboration, which has approved and agreed to respect
them.  MCnet is a Marie Curie Research Training Network funded under
Framework Programme 6 contract MRTN-CT-2006-035606.

pythia8-8.1.86.orig/phpdoc/NLOMerging.php0000644000175000017500000013765012357553536016320 0ustar  sunsun 


NLO Merging






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            NLO Merging
             
 
Pythia offers two NLO merging approaches. Both of these methods have been 
presented in [Lon13]. The goal of NLO merging is to extend tree-level 
multi-jet merging methods to next-to-leading order accuracy in QCD, for every 
available jet multiplicity. If for example NLO calculations for Higgs + 0 jet, 
Higgs + 1 jet and Higgs + 2 jets were available, NLO merging allows to 
simultaneously describe 0-, 1- and 2-jet observables with NLO accuracy. 
Further jets can, depending on additional tree-level input, be described by 
additional tree-level matrix elements. In the example, it would be possible to 
achieve NLO accuracy for 0-, 1- and 2-jet observables, tree-level accuracy 
for 3-, 4- and 5-jet configurations, and use the parton shower approximation 
for events with more than five jets. 
 

             The two NLO merging methods implemented in Pythia are called 
NL3 (for Nils Lavesson + Leif Lönnblad) and UNLOPS 
(for unitarised 
NLO+PS merging). Both of these schemes require Les Houches Event File input 
that is generated by tree-level or NLO matrix element generators. Currently, 
Pythia requires NLO input generated within the POWHEG framework. The 
generation of sensible input will be discussed below. The two NLO merging 
methods are illustrated in the sample main programs main87.cc 
(introducing NL3 ) and main88.cc (introducing UNLOPS). 
Before describing these programs, we would like to outline the differences 
between the two approaches. 
 

             NL3 is a generalisation of ";?>CKKW-L 
tree-level merging. The main 
idea of NL3 is to start from CKKW-L-reweighted multi-jet 
merging, and replace the 
αsn+0- and 
αsn+1-terms by the NLO result of POWHEG. 
This "replacement" means that we subtract the 
αsn+0- and 
αsn+1-terms from the CKKW-L-reweighted 
tree-level samples, and add another sample -- the POWHEG input. 
All "higher orders" are unchanged w.r.t. CKKW-L. 
We have implemented the 
"inclusive" scheme of [Lon13] in Pythia. This means that the POWHEG 
input will contain contributions for hard, resolved real emission jets, which 
are already taken care of by higher-multiplicity samples in CKKW-L. Thus, 
explicit phase space subtractions are also included. The sample program 
main87.cc, together with the input file main87.cmnd, 
illustrates the procedure. 
 

             UNLOPS is a generalisation of the 
";?>UMEPS multi-jet merging scheme. 
Since UMEPS is already slightly more complicated than 
CKKW-L, this makes UNLOPS more complicated than NL3. The basic idea 
however remains the same: Start from a tree-level merging scheme (in this case 
UMEPS), remove all undesirable αsn+0- and 
αsn+1-terms from this result, and add 
back the "correct" description via POWHEG input samples. Again, since the 
"inclusive" scheme of [Lon13] was implemented in Pythia, it is 
necessary to handle explicit phase space subtractions. Similar to 
UMEPS, UNLOPS further ensures that the lowest-multiplicity cross section 
is given by the NLO result. This means that the UMEPS philosophy of "subtract 
what you add" needs to be extended to multi-leg NLO inputs. 
 

             UNLOPS is a theoretically more appealing definition of NLO merging than 
NL3, and should thus be considered the preferred choice. However, 
we believe it valuable to include both methods into Pythia, so that the 
variation of NLO merged results due to different NLO merging schemes can be 
studied in situ. Furthermore, NLO merging can be outlined more pedagogically 
when starting from NL3. The two NLO merging methods share parts of 
code with CKKW-L and UMEPS, and correspondingly share many input settings 
with these schemes. In particular, 

             
          The hard process 
(Merging:Process) needs to be defined 
exactly as in CKKW-L (see Defining the hard process in the 
";?>CKKW-L documentation). 

             
          The merging scale value 
(Merging:TMS) has to be set. 

             
          The maximal number of additional partons in 
tree-level events (Merging:nJetMax) has to be set. 
 

             All settings listed under the sections "Matrix element 
merging and HepMC output for RIVET" and "Further 
variables" in  the ";?>CKKW-L 
documentation can be accessed in NLO merging as well. Furthermore, 
the Merging:nRecluster switch (see the 
";?>UMEPS documentation) is important. 
 
Also, all MergingHooks routines that allow for user 
interference in CKKW-L merging are also usable for NLO merging -- with the 
exception of a user-defined merging scale. The NLO merging schemes currently 
implemented in Pythia do not allow for a merging scale definition that 
differs from the parton shower evolution variable. Since this merging scale 
definition is not completely obvious, the NLO merging schemes also share the 
Merging:enforceCutOnLHE switch with CKKW-L. In this way, it 
is possible to use LHE files that are regularised only with weak cuts as 
input, while the merging machinery imposes the stronger merging scale cut 
automatically. This means that no merging scale implementation is required 
from the user side, but also means that it is the user's responsibility to 
ensure that the cuts used for generating input LHE files are always looser 
than the cut given by the merging scale value Merging:TMS. This 
will lead to warnings of the form "Les Houches Event fails merging scale 
cut. Cut by rejecting event". These warning should rather be regarded 
as information. An example of inclusive matrix element generation cuts would 
be pTjet = 5 GeV, ΔRjetA jetB = 
0.01 and QjetA jetB = 5 GeV, if NLO merging with a 
desired merging scale value of Merging:TMS = 15 is attempted for 
Higgs + jets events at the LHC. 
 

             In the following, we will first describe the generation of NLO input 
samples, and list input settings for NLO merging in Pythia. Then, we will 
examine the sample main programs main87.cc and 
main88.cc, which implement NL3 and UNLOPS merging, 
respectively. 
 


             

            Inputs for NLO merging
             
 
The NLO merging schemes in Pythia currently require Les Houches Event File 
input. To perform a merging with up to M additional partons described 
by tree-level matrix elements, and with up to N ≤ M-1 additional 
partons at NLO accuracy, the user needs to supply 

             
          LHE files for 0... M additional 
partons, taken from a tree-level matrix element generator, and 

             
          LHE files for 0... N additional 
partons, taken from a POWHEG NLO generator. 

             All input files need to be regularised, if they contain additional 
partons. Large files with fairly inclusive (i.e. loose) cuts are recommended. 
The input LHE files should further be generated with fixed renormalisation 
and factorisation scales. (In the POWHEG-BOX program, this means using the 
settings runningscales 0, btlscalereal 1, btlscalect 1, 
ckkwscalup 0. Some older processes in the POWHEG-BOX program need the 
input runningscale 0 instead of runningscales 0.) 
 

             When attempting NLO merging, the following Pythia settings are relevant. 
 


            Merging:nJetMaxNLO       (default = 0; minimum = 0)
            
The maximal number of additional jets for which NLO event samples are 
supplied by the user. 
   
 


            Merging:muFac      (default = -1.0)
            
The fixed factorisation scale used in the hard process cross section, 
as needed to 
generate the leading-order weight, in case the factorisation scale cannot 
be inferred from Les Houches event input. (This is the case for files that 
have been generated with the POWHEG-BOX program, since this program prints 
the transverse momentum scale of the real emission into the LH events.). 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
If wimpy showers (see ";?>Timelike Showers and 
";?>Spacelike Showers) are used together 
with multi-jet merging, then this scale further sets the 
parton shower starting scale (μQ) for the core hard 
process. 
   
 


            Merging:muRen      (default = -1.0)
            
The fixed renormalisation scale used in the hard process cross section, 
as needed to 
generate the leading-order weight, in case the renormalisation scale cannot 
be inferred from Les Houches event input. (As mentioned above, this is the 
case for files generated with the POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
   
 


            Merging:muFacInME      (default = -1.0)
            
The fixed factorisation scale used in the matrix element calculation. This 
information is needed if factorisation scale variations in NLO merged results 
are attempted. Depending on the matrix element generator, it might not be 
possible to infer the factorisation scale from Les Houches event input, and 
thus, setting an explicit value is required. (As mentioned above, this is the 
case for files generated with the POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
   
 


            Merging:muRenInME      (default = -1.0)
            
The fixed renormalisation scale used in the matrix element calculation. This 
information is needed if renormalisation scale variations in NLO merged 
results are attempted, for the same reason as factorisation scales might be 
required. (As mentioned above, this is the case for files generated with the 
POWHEG-BOX program.) 
If the value is not set, the SCALUP variable of the current LH 
event will be used instead. 
   
 

             All further settings will be discussed while examining the sample main 
programs. 
 


             

            NL3 merging with main87.cc
             
 
NL3-style NLO merging in Pythia is illustrated by the sample 
main program main87.cc. This program works together with an input 
file (e.g. main87.cmnd) for Pythia settings, and requires LHE 
input files that follow the naming convention 
name_tree_#nAdditionalJets.lhe (tree-level samples) and 
name_powheg_#nAdditionalJets.lhe (POWHEG NLO samples). 
main87.cc produces HepMC event output [Dob01], which can 
be used for analysis (e.g. using RIVET [Buc10]), or as input for 
detector simulations. For users not familiar with HepMC output, it is of 
course possible remove the HepMC code in the sample program, and use Pythia's 
histogramming routines instead. Histograms should then be filled as indicated 
for the histPTFirstSum histograms in main84.cc, i.e. 
using weightNLO*normhepmc. 
 

             If the user only wants to change the number of requested events 
(Main:numberOfEvents), the hard process 
(Merging:Process), the merging scale value 
(Merging:TMS) and the maximal number of additional tree-level or 
NLO-accuracte jets (Merging:nJetMax and 
Merging:nJetMaxNLO, respectively), and HepMC output is desired, 
then there is no need to change the main87.cc code. The input 
LHE files are also part of the (command line) input for 
main87.exe. The default settings in main87.cmnd 
are intended to work with the (very short) sample LHEF inputs 
(w_production_tree_0.lhe, w_production_tree_1.lhe, 
w_production_tree_2.lhe and w_production_powheg_0.lhe, 
w_production_powheg_1.lhe). For these input files, the 
main87.exe executable can be run with the command 

             
./main87.exe main87.cmnd w_production myhepmc.hepmc 

             to produce a file myhepmc.hepmc of NLO merged HepMC event output. All 
mandatory Pythia input settngs have been outlined earlier. Please refrain from 
adding input switches than invoke any other merging scheme (e.g. e.g. 
Merging:doKTMerging) into the input file that you want to use in 
conjunction with main87.cc. 
 

             In the following, we will explain main87.cc in depth. Users 
who are willing to accept the default choices do not need to know all details, 
but are still encouraged to read further. 
 

            Program flow
             
 
main87.cc can be divided into four steps: 

                      1. Estimate the cross section for 
tree-level and NLO samples after the merging scale cut. 

                      2. Produce reweighted tree-level 
     events, which do not contain αs0- 
     and αs1-terms. 

                      3. Add POWHEG NLO events. 

                      4. Subtract phase space points with an 
     extra (real-emission) jet above the merging scale from the POWHEG result, 
     since such configurations have already been taken into account by 
     processing other samples. 
 

             The first step is necessary to produce the correct weights for HepMC 
output events. The estimation of tree-level cross sections after the merging 
scale cut is generated by invoking the switch 
Merging:doXSectionEstimate together with 
Merging:doNL3Tree. In this configuration, the latter switch will 
only act to define the merging scale.  After the tree-level cross sections 
have been estimated, main87.cc estimates the NLO cross sections 
after application of the merging scale cut, by inferring 
Merging:doXSectionEstimate together with 
Merging:doNL3Loop. Again, in this configuration, the latter 
switch only acts as the merging scale definition. When generating the 
estimates, all showering, multiparton interactions and hadronisation is 
turned off to not unnecessarily waste processor time. 
For all estimates, is further mandatory to set the value of 
Merging:nRequested to the jet multiplicity of the current event 
sample (e.g. to "2" for a sample containing W + 2 jet events). This is 
necessary in order to correctly apply the merging scale cut. POWHEG 
NLO input files for W + 1 jet e.g. contain W + 1 jet and W + 2 jet (i.e. real 
emission) kinematics. However, the merging scale cut aims at 
regularising the "underlying Born" configuration (i.e. the W + 1 states in our 
example). Setting Merging:nRequested = 1 for the  W + 1 jet 
POWHEG sample ensures that even for real-emission (W + 2 jet) kinematics, the 
merging scale cut is applied to W + 1 jet states. 
 

             After the cross section estimation step, main87.cc proceeds 
to perform the actual merging. Before explaining this part, we would like to 
make some comments about K-factors. 
 

             main87.cc is prepared to use 
fixed K-factors to rescale the weight of tree-level events. This rescaling 
does not affect the NLO accuracy of the method, and was investigated in 
[Lon13]. By default, main87.cc does not use K-factors. 
However, if the user wants to include K-factors, this can be done by using 
the following input settings. 
 


            Merging:kFactor0j      (default = 1.0)
            
The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
zero-jet tree-level events. 
   
 


            Merging:kFactor1j      (default = 1.0)
            
The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
one-jet tree-level events. 
   
 


            Merging:kFactor2j      (default = 1.0)
            
The k-Factor used to rescale the tree-level (i.e. CKKW-L or UMEPS) part of 
two-jet tree-level events. 
   
 

             If the variables k0, k1, k2 in main87.cc are set 
to non-unity values, K-factors will be applied. The K-factor 
of highest jet multiplicity will then be used 
to also rescale tree-level samples with a number of additional jets 
beyond the number of the highest-multiplicity real-emission sample. If we, for 
example, attempt an NLO merging of W+0 jet and W+1 jet 
at NLO accuracy, and with W+≤4 jets at tree-level accuracy, then 
Merging:kFactor2j is used to rescale the W+2 jet, 
W+3 jets and W+4 jets tree-level samples. We recommend to 
not include a K-factor rescaling of the tree-level samples. 
 
 

             Let us turn to the production of NLO merged events. The first step in 
the procedure is to generate reweighted tree-level samples. This is 
implemented by using the following switch. 
 


            Merging:doNL3Tree  On
Off
   (default = off)
            
This switch will allow the generation of the weight that should be applied to 
tree-level events in the NL3 merging scheme. Please note that, in 
order for this to work smoothly, the switch Merging:doNL3Loop and 
the switch Merging:doNL3Subt have to be turned off. As for the 
estimation of cross sections, it is mandatory to set 
the correct value of Merging:nRequested. 
   
 

             
The weight of tree-level events can be accessed by calling the function 
double Info::mergingWeightNLO(). When printing 
(or histogramming) NLO merged events, this weight, multiplied with the 
estimated cross section of the current event sample, should be used as event 
weight (or weight of histogram bins). For Merging:doNL3Tree = on, 
the weight double Info::mergingWeightNLO() contains the 
CKKW-L weight, subtracted, if necessary, by 
αs0- and 
αs1-terms. This weight can become 
negative. As an example, imagine we attempt an NLO merging of W + 0 jet and 
W + 1 jet at NLO accuracy, and with  W + 2 jets at tree-level accuracy. 
This weight will then be 

               Info::mergingWeightNLO() = CKKW-L-weight for zero jets 
 - αs0-terms 
 - αs1-terms 
 for events in the zero-jet sample, 

               Info::mergingWeightNLO() = CKKW-L-weight for one jet 
 - αs0-terms 
 - αs1-terms 
 for events in the one-jet sample, and 

               Info::mergingWeightNLO() = CKKW-L-weight for two jets  
for events in the two-jet sample. 
 

             After the tree-level events have been reweighted, main87.cc 
will move on to process the POWHEG NLO input. This is done by switching to the 
following flag. 
 


            Merging:doNL3Loop  On
Off
   (default = off)
            
This switch will allow the processing of POWHEG NLO events in the 
NL3 merging scheme. Please note that, in order for this to work 
smoothly, the switch Merging:doNL3Tree and the switch 
Merging:doNL3Subt have to be turned off. As for the estimation 
of cross sections, it is mandatory to set the correct value of 
Merging:nRequested. 
   
 

             
Also in this case, the NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doNL3Loop = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 
After the processing of POWHEG NLO events, main87.cc continues 
by generating explicit phase space subtractions. This is facilitated by the 
following switch. 
 


            Merging:doNL3Subt  On
Off
   (default = off)
            
This switch will allow the processing of tree-level events, to produce 
explicit phase space subtractions in the NL3 merging scheme. 
Please note that, in order for this to work smoothly, the switch 
Merging:doNL3Tree and the switch 
Merging:doNL3Loop have to be turned off. As for the estimation 
of cross sections, it is mandatory to set the correct value of 
Merging:nRequested. Furthermore, it is necessary to set the 
value of Merging:nRecluster to one. 
   
 

             These contributions are necessary because we have implemented 
the "inclusive 
scheme" of [Lon13] in Pythia. The benefit of this scheme is the user 
does not have to intrusively change the POWHEG-BOX program to implement very 
particular cuts. Let us explain this comment with an example (a more detailed 
explanation of the idea is given in Appendix A.2 of [Lon13]). When 
generating W + 0 jet events with the POWHEG-BOX program, the output LHE files 
will contain W  + 1 jet real emission events. Some of these events will 
contain a jet above the merging scale. However, in NLO merging methods, such 
configurations have already been included by a separate W + 1 jet sample. 
Thus, to avoid counting such events twice, we have to remove the 
configurations from the POWHEG-BOX output. We choose to remove such events 
by explicit subtraction. 
 

             
As always, the NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doNL3Subt = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 

             After these steps, all necessary events for NL3 merging have 
been produced. main87.cc finishes by returning the 
NL3-merged total cross section. 
 
 


             

            UNLOPS merging with main88.cc
             
 
UNLOPS-style NLO merging in Pythia is illustrated by the sample 
main program main88.cc, which relies on an input file (e.g. 
main88.cmnd) for Pythia settings. As for all merging methods in 
Pythia, main88.cc requires LHE input files. To use 
main88.cc without any changes, these input files should follow 
the naming convention name_tree_#nAdditionalJets.lhe (for tree-level 
samples) and name_powheg_#nAdditionalJets.lhe (for POWHEG NLO 
samples). main88.cc produces HepMC event output, which can e.g. 
be analysed with RIVET, or used as input for detector simulations. 
For users not familiar with HepMC output, it is of course possible remove 
the HepMC code in the sample program, and use Pythia's histogramming routines 
instead. Histograms should then be filled as indicated for the 
histPTFirstSum histograms in main84.cc, i.e. using 
weightNLO*normhepmc. 
 

             As for NL3, it is not necessary to change 
main88.cc if the user is only interested in changing standard 
settings. Thus, if the user only wants to change the number of requested 
events (Main:numberOfEvents), the hard process 
(Merging:Process), the merging scale value 
(Merging:TMS) and the maximal number of additional tree-level or 
NLO-accuracte jets (Merging:nJetMax and 
Merging:nJetMaxNLO, respectively), and HepMC output is desired, 
then there is no need to change the main88.cc code. The input 
LHE files are also part of the (command line) input for 
main88.exe. The default settings in main88.cmnd 
are intended to work with the (very short) sample LHEF inputs 
(w_production_tree_0.lhe, w_production_tree_1.lhe, 
w_production_tree_2.lhe and w_production_powheg_0.lhe, 
w_production_powheg_1.lhe). For these input files, the 
main88.exe executable can be run with the command 

             
./main88.exe main88.cmnd w_production myhepmc.hepmc 

             to produce a file myhepmc.hepmc of UNLOPS merged HepMC event output. 
Please refrain from adding input switches than invoke any other merging 
scheme (e.g. Merging:doKTMerging) into the input file that you 
want to use in conjunction with main88.cc. 
 

             In the following, we will explain main88.cc in depth. To 
not be overly repetitive, we will at times refer to the relevant parts in the 
discussion of main87.cc. Users who are willing to accept the 
default choices do not need to know all details, but are still encouraged to 
read further. 
 

            Program flow
             
 
main88.cc can be divided into five steps: 

                      1. Estimate the cross section for 
tree-level and NLO samples after the merging scale cut. 

                      2. Produce reweighted tree-level 
     events, which do not contain αs0- 
     and αs1-terms. 

                      3. Add POWHEG NLO events. 

                      4. Subtract integrated, reweighted 
     tree-level events, to ensure that the inclusive NLO cross section remains 
     intact upon inclusion of multi-jet tree-level events. 

                      5. Subtract integrated POWHEG NLO 
     events, to ensure that the inclusive NLO cross section remains 
     intact upon inclusion of multi-jet tree-level events. 
 

             The estimation of cross sections after the application of the merging 
scale cut is nearly identical to the first step in main87.cc, and 
we refer to the first paragraph of the "Program flow" discussion for 
main87.cc for details. For main88.cc, the flags 
Merging:doUNLOPSTree or Merging:doUNLOPSLoop supply 
the merging scale definition used in the cross section estimation. 
 

             After the cross section estimation step, main88.cc proceeds 
to perform the actual NLO merging. The discussion of K-factors given in the 
NL3 section (i.e. of Merging:kFactor0j, 
Merging:kFactor1j and Merging:kFactor2j) also 
applies to main88.cc. Although UNLOPS is considerably more stable 
than NL3 upon changing the K-factors, we do not recommend the 
use of K-factors. 
 

             The production of UNLOPS-merged events with main88.cc starts 
by generating reweighted tree-level events. The processing of tree-level 
events can be invoked by setting the following flag. 
 


            Merging:doUNLOPSTree  On
Off
   (default = off)
            
This switch will allow the generation of the weight that should be applied to 
tree-level events in the UNLOPS merging scheme. Please note that, in 
order for this to work smoothly, the switches 
Merging:doUNLOPSLoop, Merging:doUNLOPSSubt and 
Merging:doUNLOPSSubtNLO have to be turned off. As for the 
estimation of cross sections, it is mandatory to set 
the correct value of Merging:nRequested. 
   
 

             
The weight of tree-level events is returned by the function 
double Info::mergingWeightNLO(). When printing 
(or histogramming) NLO merged events, this weight, multiplied with the 
estimated cross section of the current event sample, should be used as event 
weight (or weight of histogram bins). For 
Merging:doUNLOPSTree = on, 
the weight double Info::mergingWeightNLO() contains the 
UMEPS weight, subtracted, if necessary, by 
αs0- and 
αs1-terms. This weight can become 
negative. As an example, assume that we attempt an UNLOPS merging of W + 0 jet 
and W + 1 jet at NLO accuracy, and with  W + 2 jets at tree-level accuracy. 
This weight will then be 

               Info::mergingWeightNLO() = UMEPS-weight for one jet 
 - αs0-terms 
 - αs1-terms 
 for events in the one-jet sample, and 

               Info::mergingWeightNLO() = UMEPS-weight for two jets  
for events in the two-jet sample. 
 

             After reweighted tree-level events have been generated, 
main88.cc processes the POWHEG NLO input files. This is 
facilitated by the following switch. 
 


            Merging:doUNLOPSLoop  On
Off
   (default = off)
            
This switch will allow the processing of POWHEG NLO events in the 
UNLOPS merging scheme. Please note that, in order for this to work 
smoothly, the switches Merging:doUNLOPSTree, 
Merging:doUNLOPSSubt and Merging:doUNLOPSSubtNLO 
have to be turned off. As for the estimation of cross sections, it is 
mandatory to set the correct value of 
Merging:nRequested. 
   
 

             
The NLO merging weight of the events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doUNLOPSLoop = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 

             
After processing the POWHEG NLO events, main88.cc continues 
by generating the reweighted subtraction terms of UMEPS. This part is 
implemented by setting the following flag. 
 


            Merging:doUNLOPSSubt  On
Off
   (default = off)
            
This switch will allow the processing of tree-level events, to produce UMEPS 
subtraction terms for the UNLOPS merging scheme. Please note 
that, in order for this to work smoothly, the switches 
Merging:doUNLOPSTree, Merging:doUNLOPSLoop and 
Merging:doUNLOPSSubtNLO have to be turned off. 
As for the estimation of cross sections, it is mandatory to set the 
correct value of Merging:nRequested. Furthermore, it is necessary 
to set the value of Merging:nRecluster to one. 
   
 

            By using this switch, main88.cc ensures that the inclusive 
cross section is preserved. At variance with UMEPS however, the event weight 
contains the UMEPS weight, subtracted, if necessary, by 
αs+0- and 
αs1-terms. Otherwise, 
αsn+0- and 
αsn+1-terms of the UMEPS procedure would 
be introduced, although our goal is to describe all 
αsn+0- and 
αsn+1-terms by n-jet POWHEG input. 
The weight of these integrated, subtractive tree-level events is, as always, 
returned by the function double Info::mergingWeightNLO(). 
When printing (or histogramming) NLO merged events, this weight, multiplied 
with the estimated cross section of the current event sample, and with  
-1, should be used 
as event weight (or weight of histogram bins). As for the case of tree-level 
events in UNLOPS, this weight can become negative. 
For the example given before, i.e. attempting an UNLOPS merging of 
W + 0 jet and  W + 1 jet at NLO accuracy, and with 
W + 2 jets at tree-level accuracy, this weight will be 

               Info::mergingWeightNLO() = UMEPS-weight for the integrated 
 one-jet sample - αs0-terms 
 - αs1-terms 
 for events in the integrated one-jet sample, and 

               Info::mergingWeightNLO() = UMEPS-weight for the integrated 
 two-jet sample 
for events in the integrated two-jet sample. 
 

            This choice of weights already 
incorporates the fact that we have implemented the "inclusive scheme" of 
[Lon13], meaning that the "explicit phase space subtractions" of 
NL3 are (partially) included though these weights. 
 

             To ensure that the NLO inclusive cross section is unchanged, UNLOPS 
further requires the introduction of another sample. If POWHEG NLO events with 
one or more jets are included, it is necessary to subtract these samples 
in an integrated form. In main88.cc, this is done by setting the 
following flag. 
 


            Merging:doUNLOPSSubtNLO  On
Off
   (default = off)
            
This switch will allow the processing of POWHEG NLO events, to produce NLO 
subtraction terms for the UNLOPS merging scheme. Please note 
that, in order for this to work smoothly, the switches 
Merging:doUNLOPSTree, Merging:doUNLOPSLoop and 
Merging:doUNLOPSSubt have to be turned off. 
As for the estimation of cross sections, it is mandatory to set the 
correct value of Merging:nRequested. Furthermore, it is necessary 
to set the value of Merging:nRecluster to one. 
   
 

             This sample also provides some "explicit phase space subtractions" of 
NL3, which are necessary because we implemented the 
"inclusive scheme" of [Lon13]. Let us again look at the example of 
UNLOPS merging of W + 0 jet and W + 1 jet at NLO accuracy. 
The integrated  W + 1 jet NLO events, which are produced by the setting 
Merging:doUNLOPSSubtNLO = on, contain a tree-level part. This 
part will exactly cancel the real-emission events with one jet above the 
merging scale in the  W + 0 jet NLO events. 
 

             
The NLO merging weight of these "integrated" events can be accessed by 
calling the function double Info::mergingWeightNLO(). This 
weight should also be used when printing (or histogramming) events. 
For Merging:doUNLOPSSubtNLO = on, 
the weight double Info::mergingWeightNLO() is either one or 
zero (see Appendix E in [Lon13]). 
 

             After these five steps (estimation of cross sections, tree-level 
processing, POWHEG processing, integrated tree-level processing, 
integrated POWHEG processing) we have produced a UNLOPS-merged HepMC 
event file. main88.cc finishes by returning the 
UNLOPS-merged total cross section. 
 
 


             

            NLO merging and "exclusive" NLO inputs
             
 
Currently, both sample main programs for NLO merging (main87.cc 
and main88.cc) are intended for "inclusive" POWHEG input. 
Inclusive input means that all real emission phase space points are included 
in the POWHEG output files. In order to avoid double counting with 
higher-multiplicity matrix elements, it is then necessary remove phase space 
points with too many jets from the real-emission configurations. 
This can be done by introducing explicit phase space subtractions. Another 
way of removing the undesired configurations is by implementing a cut in the 
NLO generator. This is not a completely trivial task, since it is necessary 
to ensure numerical stability and the correct cancellation of (finite) dipole 
regularisation terms. One way of producing such exclusive NLO output is by 
setting the (tree-level) real-emission matrix element in the NLO generator to 
zero if the real-emission phase space point contains too many jets above the 
merging scale. This will however not be numerically stable for too low merging 
scale values. 
 

             We should be very clear that using exclusive NLO input is not 
recommended, since it requires hacking the NLO generator.  Only for the expert 
user, we briefly summarise the necessary changes for using exclusive 
NLO input. 
 

             For the moment, assume that the NLO input has been produced in an 
"exclusive" way. This input can then be processed by some trivial changes in 
main87.cc: estimate the cross section for tree-level and NLO 
samples after the merging scale cut, still using inclusive NLO 
samples, remove the last part of main87.cc, i.e. the part that 
produces explicit phase space subtractions, and use the exclusive NLO files as 
input files for the processing of "POWHEG NLO files". 
 

             The changes to main88.cc (implementing UNLOPS) are slightly 
more complicated. This is the case because the weights of integrated 
tree-level samples change when using exclusive input, as can be seen in 
Appendix D in [Lon13]. The correct weights can be produced by Pythia 
by using the following flag. 
 


            Merging:doUNLOPSTilde  On
Off
   (default = off)
            
This flag allows the UNLOPS machinery to produce the event weights if 
exclusive NLO input is used for the merging. This flag should be set to "on" 
directly after the cross section estimates have been produced. 
   
 

             Then, it is necessary to add code for processing another sample to 
main88.cc, since when using exclusive inputs, it is also 
necessary to enforce two integrations on tree-level events (the 
"↑"-contributions in Appendix D of [Lon13]). This can be 
achieved by adding the following code at the end of main88.cc. 

             

             
  cout << endl << endl << endl; 
  cout << "Shower subtractive events" << endl; 
 
  // Switch on processing of counter-events. 
  pythia.settings.flag("Merging:doUNLOPSTree",false); 
  pythia.settings.flag("Merging:doUNLOPSLoop",false); 
  pythia.settings.flag("Merging:doUNLOPSSubt",true); 
  pythia.settings.flag("Merging:doUNLOPSSubtNLO",false); 
  pythia.settings.mode("Merging:nRecluster",2); 
 
  nMaxCT         = nMaxNLO+1; 
  njetcounterCT  = nMaxCT; 
  iPathSubt      = iPath + "_tree"; 
 
  while(njetcounterCT >= 2){ 
 
    // From njet, choose LHE file 
    stringstream in; 
    in   << "_" << njetcounterCT << ".lhe"; 
    string LHEfile = iPathSubt + in.str(); 
 
    cout << endl << endl << endl 
         << "Start subtractive treatment for " << njetcounterCT << " jets\n" 
         << "Recluster at least 2 times" << endl; 
 
    pythia.readString("Beams:frameType = 4"); 
    pythia.settings.word("Beams:LHEF", LHEfile); 
    pythia.settings.mode("Merging:nRequested", njetcounterCT); 
    pythia.init(); 
    // Remember position in vector of cross section estimates. 
    int iNow = sizeLO-1-njetcounterCT; 
 
    // Start generation loop 
    for( int iEvent=0; iEvent < nEvent; ++iEvent ){ 
 
      // Generate next event 
      if( !pythia.next() ) { 
        if( pythia.info.atEndOfFile() ) break; 
        else continue; 
      } 
 
      // Get event weight(s). 
      double weightNLO  = pythia.info.mergingWeightNLO(); 
      double evtweight  = pythia.info.weight(); 
      weightNLO        *= evtweight; 
      // Do not print zero-weight events. 
      if ( weightNLO == 0. ) continue; 
 
      // Construct new empty HepMC event. 
      HepMC::GenEvent* hepmcevt = new HepMC::GenEvent(); 
      // Get correct cross section from previous estimate. 
      double normhepmc = -1*xsecLO[iNow] / nAcceptLO[iNow]; 
      // Set hepmc event weight. 
      hepmcevt->weights().push_back(weightNLO*normhepmc); 
      // Fill HepMC event. 
      ToHepMC.fill_next_event( pythia, hepmcevt ); 
      // Add the weight of the current event to the cross section. 
      sigmaTotal += weightNLO*normhepmc; 
      errorTotal += pow2(weightNLO*normhepmc); 
      // Report cross section to hepmc. 
      HepMC::GenCrossSection xsec; 
      xsec.set_cross_section( sigmaTotal*1e9, pythia.info.sigmaErr()*1e9 ); 
      hepmcevt->set_cross_section( xsec ); 
      // Write the HepMC event to file. Done with it. 
      ascii_io << hepmcevt; 
      delete hepmcevt; 
 
    } // end loop over events to generate 
 
    // print cross section, errors 
    pythia.stat(); 
 
    // Restart with ME of a reduced the number of jets 
    if( njetcounterCT > 2 ) 
      njetcounterCT--; 
    else 
      break; 
 
  } 

             



            

            Further variables
            

More advanced manipulations of the merging machinery are of
course possible, and additional switches can be found at
the end of the ";?>CKKW-L
tree-level merging documentation. Here, we only document
switches that only apply to NLO merging. 



            Merging:allowIncompleteHistoriesInReal  On
Off
   (default = off)
            
If switched on, this will allow to keep states with incomplete parton
shower histories (i.e. states that cannot be projected onto an allowed
underlying Born process) in the real contributions of an NLO input sample. By
default, such configurations will instead be included through
higher-multiplicity tree-level matrix elements. However, NLO input samples
can contain a significant number of such configurations if Diagram Subtraction
(DS) techniques had been applied. In order not to change the DS scheme, it
is important not to remove incomplete histories from the real-emission
contribution. Note that furthermore, if this switch turned on, you will
have to ensure yourself that no double-counting between states with incomplete
histories will occur between NLO samples and higher-multiplicity tree-level
samples. This might for example entail using the MergingHooks 
facilities, and the function 
double MergingHooks::dampenIfFailCuts(const Event& event)" in
particular.
  
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/ImplementNewShowers.php0000644000175000017500000007066012357553536020333 0ustar  sunsun

Implement New Showers






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Implement New Showers
             
 
In case you want to replace the PYTHIA initial- and final-state 
showers by your own, it is possible but not trivial. The point is 
that multiparton interactions (MPI), initial-state radiation (ISR) and 
final-state radiation (FSR) in general appear in one single 
interleaved sequence of decreasing pT values. Therefore 
shower replacements would have to be able to play the game by such 
rules, as we will outline further below. Of course, this still 
leaves the field open exactly how to define what to mean by 
pT, how to handle recoil effects, how the colour flow is 
affected, and so on, so there is certainly room for alternative 
showers. A first example of a shower implemented within the PYTHIA 
context is VINCIA. 
 

             
For the moment we assume you want to keep the MPI part of the story 
unchanged, and make use of the existing beam-remnants (BR) machinery. 
If you want to replace both MPI, ISR, FSR and BR then you had better 
replace the whole PartonLevel module of the code. 
If, in addition, you want to produce your own hard processes, 
then you only need the 
";?>hadron-level standalone 
part of the machinery. 
 

             
In order to write replacement codes for ISR and/or FSR it is useful 
to be aware of which information has to be shared between the 
different components, and which input/output structure is required 
of the relevant methods. For details, nothing beats studying the 
existing code. However, here we provide an overview, that should 
serve as a useful introduction. 
 

             
It should be noted that we here primarily address the problem in 
its full generality, with interleaved MPI, ISR and FSR. There exists 
an option TimeShower:interleave = off where only 
MPI and ISR would be interleaved and FSR be considered after these 
two, but still before BR. Most of the aspects described here would 
apply also for that case. By contrast, resonance decays are only 
considered after all the four above components, and timelike 
showers in those decays would never be interleaved with anything 
else, so are much simpler to administrate. 
 

             
Therefore the ";?> 
pythia.setShowerPtr( timesDecPtr, timesPtr, spacePtr) 
method allows two separate pointers to be set to instances of 
derived TimeShower classes. The first is only required 
to handle decays, say of Z^0 or Upsilon, with no 
dependence on beam remnants or ISR. The second, as well as 
spacePtr, has to handle the interleaved evolution of MPI, 
ISR and FSR. Therefore you are free to implement only the first, and 
let the PYTHIA default showers take care of the latter two. But, if 
you wanted to, you could also set timesDecPtr = 0 and 
only provide a timesPtr, or only a spacePtr. 
If your timelike shower does both cases, the first two pointers 
can agree. The only tiny point to take into account then is that 
init( beamAPtr, beamBPtr) is called twice, a first time 
to timesDecPtr with beam pointers 0, and a second time 
to timesPtr with nonvanishing beam pointers. 
 

            The event record and associated information
             
 
Obviously the main place for sharing information is the event 
record, specifically the Event event member of 
Pythia, passed around as a reference. It is 
assumed you already studied how it works, so here we only draw 
attention to a few aspects of special relevance. 
 

             
One basic principle is that existing partons should not be 
overwritten. Instead new partons should be created, even when a 
parton only receives a slightly shifted momentum and for the rest 
stays the same. Such "carbon copies" by final-state branchings 
should be denoted by both daughter indices of the original parton 
pointing to the copy, and both mother indices of the copy to the 
original. If the copy instead is intended to represent an earlier 
step, e.g. in ISR backwards evolution, the role of mothers and 
daughters is interchanged. The 
event.copy( iCopy, newStatus) 
routine can take care of this tedious task; the sign of 
newStatus tells the program which case to assume. 
 

             
To make the event record legible it is essential that the 
";?>status codes 
are selected appropriately to represent the reason why each new 
parton is added to the record. Also remember to change the 
status of a parton to be negative whenever an existing parton 
is replaced by a set of new daughter partons. 
 

             
Another important parton property is scale(), 
which does not appear in the normal event listing, but only 
if you use the extended 
Event:listScaleAndVertex = on option. 
This property is supposed to represent the production scale 
(in GeV) of a parton. In the current FSR and ISR algorithms 
it is used to restrict from above the allowed pT 
values for branchings of this particular parton. 
Beam remnants and other partons that should not radiate are 
assigned scale 0. 
 

             
Auxiliary to the event record proper is the 
";?>PartonSystems 
class, that keep track of which partons belong together in the 
same scattering subsystem. This information must be kept up-to-date 
during the shower evolution. 
 

             
For initial-state showers it is also necessary to keep track of 
the partonic content extracted from the beams. This information 
is stored in the 
";?>BeamParticle 
class. 
 

            The TimeShower interface
             
 
If you want to replace the TimeShower class this would 
involve replacing the virtual methods among the following ones. 
 


            TimeShower::TimeShower()   
            
The constructor does not need to do anything. 
   
 


            virtual TimeShower::~TimeShower()   
            
The destructor does not need to do anything. 
   
 


            void TimeShower::initPtr(Info* infoPtr, Settings* settingsPtr, ParticleData* particleDataPtr, Rndm* rndmPtr, CoupSM* coupSMPtr, PartonSystems* partonSystemsPtr, UserHooks* userHooksPtr)   
            
This method only imports pointers to standard facilities, 
and is not virtual. 
   
 


            virtual void TimeShower::init( BeamParticle* beamAPtrIn = 0, BeamParticle* beamBPtrIn = 0)   
            
You have to store your local copy of the pointers to these objects, 
since they have to be used during the generation, as explained above. 
The pointers could be zero; e.g. a local copy of TimeShower 
is created to handle showers in decays such as Upsilon → q qbar 
from inside the ParticleDecays class. This is also the 
place to do initialization of whatever parameters you plan to use, 
e.g. by reading in them from a user-accessible database like the 
Settings one. 
   
 


            virtual bool TimeShower::limitPTmax( Event& event, double Q2Fac = 0.,  double Q2Ren = 0.)   
            
The question is whether the FSR should be allowed to occur at larger 
scales than the hard process it surrounds. This is process-dependent, 
as illustrated below for the the analogous 
SpaeShower::limitPTmax(...) method, although the two 
kinds of radiation need not have to be modeled identically. 
The TimeShower:pTmaxMatch switch allows you to force the 
behaviour among three options, but you may replace by your own logic. 

            The internal PYTHIA implementation also allows intermediate options, 
where emissions can go up to the kinematical limit but be dampened above 
the factorization or renormalization scale. Therefore the (square of the) 
latter two are provided as optional input parameters. 
   
 


            double TimeShower::enhancePTmax()   
            
Relative to the default pT_max evolution scale of the process, 
it may still be convenient to vary the matching slightly for the hardest 
interaction in an event, to probe the sensitivity to such details. The 
base-class implementation returns the value of the 
TimeShower:pTmaxFudge parameter. 
   
 


            virtual int TimeShower::shower( int iBeg, int iEnd, Event& event, double pTmax, int nBranchMax = 0)   
            
This is an all-in-one call for shower evolution, and as such cannot be 
used for the normal interleaved evolution, where only the routines below 
are used. It also cannot be used in resonance decays that form part of 
the hard process, since there the 
";?>user hooks insert a potential 
veto step. Currently this routine is therefore only used in the 
hadron-level decays, e.g. Upsilon → g g g. 

            iBeg and iEnd is the position of the 
first and last parton of a separate system, typically produced by a 
resonance decay. Such a system only evolves in isolation, and in 
particular does not relate to the beams. 

            The pTmax value sets the maximum scale for evolution, 
but normally you would restrict that further for each individual 
parton based on its respective scale value. 

            The nBranchMax value, if positive, gives the maximum 
number of allowed branchings in the call, as useful for matching studies. 

            The routine is expected to return the number of FSR branchings that 
were generated, but only for non-critical statistics purposes. 

            Since the real action typically is delegated to the routines 
below, it may well be that the existing code need not be replaced. 
   
 


            virtual int TimeShower::showerQED( int iBeg, int iEnd, Event& event, double pTmax)   
            
This is a further simplified version of the shower 
method above. Currently it only handles the emission of photons 
in the decay of a hadron into a pair of leptons, either a charged 
lepton-antilepton or a lepton-neutrino pair. It is properly matched 
to the matrix element in the decay via a virtual photon or 
W^+-, respectively. It is called as part of such decays 
if ParticleDecays:allowPhotonRadiation = on, which is 
not the default value. 
   
 


            double TimeShower::pTLastInShower()   
            
Can be used to return the pT evolution scale of the last 
branching in the cascade generated with the above 
shower(...) method. Is to be set in the internal 
pTLastInShower variable, and should be 0 if there 
were no branchings. Can be useful for matching studies. 
   
 


            virtual void TimeShower::prepareGlobal( Event& event)   
            
This method resets some counters and extracts the locations of 
outgoing partons, in preparation of using the optional global recoil 
scheme. Unlike prepare(...) below it is only called 
once during the parton-level evolution, since it only relates to 
the hardest interaction. Is probably of no use to most people. 
 


            virtual void TimeShower::prepare( int iSys, Event& event, bool limitPTmaxIn = true)   
            
This method is called immediately after a new interaction (or the 
products of a resonance decay) has been added, and should then be used 
to prepare the subsystem of partons for subsequent evolution. In 
the current code this involves identifying all colour and charge 
dipole ends: the position of radiating and recoiling partons, maximum 
pT scales, possible higher-order matrix elements matchings 
to apply, and so on. 

            The iSys parameter specifies which parton system 
is to be prepared. It is used to extract the set of partons to be 
treated, with rules as described in the above section on subsystems. 
Specifically, the first two partons represent the incoming state, 
or are 0 for resonance decays unrelated to the beams, while the 
rest are not required to be in any particular order. 

            The limitPTmaxIn switch conveys the choice made 
on maximum scale for the dipole-ends evolution associated with the 
hard interaction of the event (while scales for subsequent MPIs by 
default are set to respect pT ordering). If true 
then this scale is set by the user choice options, 
see the TimeShower::limitPTmax method above, 
while if false emissions are allowed to go up to the 
kinematical limit. For the two-hard-interactions scenario, the two 
class variables dopTlimit1 and dopTlimit2 
instead convey the choice made. 
   
 


            virtual void TimeShower::rescatterUpdate( int iSys, Event& event)   
            
This method is called immediately after rescattering in the description 
of multiparton interactions. Thus the information on one or several 
systems is out-of-date, while that of the others is unchanged. 
We do not provide the details here, since we presume few implementors 
of new showers will want to touch the technicalities involved 
in obtaining a description of rescattering. 
   
 


            virtual void TimeShower::update( int iSys, Event& event, bool hasWeakRad = false)   
            
This method is called immediately after a spacelike branching in the 
iSys'th subsystem. Thus the information for that system is 
out-of-date, while that of the others is unchanged. If you want, you are 
free to throw away all information for the affected subsystem and call 
prepare( iSys, event) to create new one. Alternatively 
you may choose only to update the information that has changed. The 
optional final argument is used to signal if a weak radiation has 
occured in the spacelike evolution, which might be used to switch off 
the timelike weak emissions. 
   
 


            virtual double TimeShower::pTnext( Event& event, double pTbegAll, double pTendAll, bool isFirstTrial = false)   
            
This is the main driver routine for the downwards evolution. A new 
pT is to be selected based on the current information set up 
by the routines above, and along with that a branching parton or dipole. 
The pTbegAll scale is the maximum scale allowed, from which 
the downwards evolution should be begun (usually respecting the maximum 
scale of each individual parton). If no emission is found above 
pTendAll (and above the respective shower cutoff scales) 
then 0. should be returned and no emissions will be allowed. 
Both scales can vary from one event to the next: if a scale has 
already been selected for MPI or ISR it makes no sense to look for 
a scale smaller than that from FSR, since it would not be able to 
compete, so pTendAll is set correspondingly. As it happens, 
FSR is tried before ISR and MPI in the interleaved evolution, 
but this is an implementation detail that could well change. 

            Typically the implementation of this routine would be to set 
up a loop over all possible radiating objects (dipoles, dipole ends, ...), 
for each pick its possible branching scale and then pick the one 
with largest scale as possible winner. At this stage no branching should 
actually be carried out, since MPI, ISR and FSR still have to be compared 
to assign the winner. 

            The isFirstTrial is true only for the 
very first emission, and is currently used in the global recoil option.
   
 


            virtual bool TimeShower::branch( Event& event, bool isInterleaved = false)   
            
This method will be called once FSR has won the competition with 
MPI and ISR to do the next branching. The candidate branching found 
in the previous step should here be carried out in full. The 
pre-branching partons should get a negative status code and new 
replacement ones added to the end of the event record. Also the 
subsystem information should be updated, and possibly also the 
beams. 

            Should some problem be encountered in this procedure, e.g. if 
some not-previously-considered kinematics requirement fails, it is 
allowed to return false to indicate that no branching 
could be carried out. 

            Normally the optional isInterleaved argument would 
not be of interest. It can be used to separate resonance decays, false, 
from the interleaved evolution together with MPI and ISR, true. 
More precisely, it separates calls to the timesDecPtr 
and the timesPtr instances. 
   
 


            virtual bool TimeShower::rescatterPropogateRecoil( Event& event, Vec4& pNew)   
            
This method is only called if rescattering is switched on in the 
description of multiparton interactions. It then propagates a recoil 
from a timelike branching to internal lines that connect systems. 
As for rescatterUpdate above, this is not likely to be 
of interest to most implementors of new showers. 
   
 


            int TimeShower::system()   
            
This method is not virtual. If a branching is constructed by the 
previous routine this tiny method should be able to return the number 
of the selected subsystem iSysSel where it occurred, 
so that the spacelike shower can be told which system to update, 
if necessary. Therefore iSysSel must be set in 
branch (or already in pTnext). 
   
 


            bool TimeShower::getHasWeaklyRadiated()   
            
This method is not virtual. It is used to tell whether a weak gauge 
boson has been emitted in the shower evolution. 
   
 


            virtual void TimeShower::list( ostream& os = cout)   
            
This method is not at all required. In the current implementation it 
outputs a list of all the dipole ends, with information on the 
respective dipole. The routine is not called anywhere in the public 
code, but has been inserted at various places during the 
development/debug phase. 
   
    

            The SpaceShower interface
             
 
If you want to replace the SpaceShower class this would 
involve replacing the virtual methods in the following. You will find 
that much of the story reminds of TimeShower above, and 
actually some cut-and-paste of text is involved. In some respects the 
description is simpler, since there are no special cases for resonance 
decays and non-interleaved evolution. Thus there is no correspondence 
to the TimeShower::shower(...) routine. 
 


            SpaceShower::SpaceShower()   
            
The constructor does not need to do anything. 
   
 


            virtual SpaceShower::~SpaceShower()   
            
Also the destructor does not need to do anything. 
   
 


            void SpaceShower::initPtr(Info* infoPtrIn, Settings* settingsPtrIn, ParticleData* particleDataPtrIn, Rndm* rndmPtrIn, CoupSM* coupSMPtrIn, PartonSystems* partonSystemsPtrIn, UserHooks* userHooksPtrIn, MergingHooks* mergingHooksPtrIn = 0)   
            
This method only imports pointers to standard facilities, 
and is not virtual. 
   
 


            virtual void SpaceShower::init(BeamParticle* beamAPtrIn, BeamParticle* beamBPtrIn)   
            
You have to store your local copy of the pointers to these objects, 
since they have to be used during the generation, as explained above. 
This is also the place to do initialization of whatever parameters 
you plan to use, e.g. by reading in them from a user-accessible 
database like the Settings one. 
   
 


            virtual bool SpaceShower::limitPTmax( Event& event, double Q2Fac = 0.,  double Q2Ren = 0.)   
            
The question is whether the ISR should be allowed to occur at larger 
scales than the hard process it surrounds. This is process-dependent. 
For instance, if the hard process is Z^0 production we know 
that ISR should be allowed to go right up to the kinematical limit. 
If it is a 2 → 2 QCD process the ISR should not exceed 
the scale of the hard process, since if so one would double-count. 
The SpaceShower:pTmaxMatch switch allows you to force the 
behaviour, or else to program your own logic. The current default 
implementation limits pT whenever the final state contains 
a quark (except top), gluon or photon, since then the danger of 
double-counting is there. You may replace by your own logic, or leave as is. 

            The internal PYTHIA implementation also allows intermediate options, 
where emissions can go up to the kinematical limit but be dampened above 
the factorization or renormalization scale. Therefore the (square of the) 
latter two are provided as optional input parameters. 
   
 


            virtual double SpaceShower::enhancePTmax()   
            
When the above method limits pT_max to the scale of the process, 
it may still be convenient to vary the matching slightly for the hardest 
interaction in an event, to probe the sensitivity to such details. The 
base-class implementation returns the value of the 
SpaceShower:pTmaxFudge parameter. 
   
 


            virtual void SpaceShower::prepare( int iSys, Event& event, bool limitPTmaxIn = true)   
            
This method is called immediately after a new interaction has been 
added, and should then be used to prepare the subsystem of partons 
for subsequent evolution. In the current code this involves identifying 
the colour and charge dipole ends: the position of radiating and recoiling 
partons, maximum pT scales, and possible higher-order matrix 
elements matchings to apply. Depending on what you have in mind you may 
choose to store slightly different quantities. You have to use the 
subsystem information described above to find the positions of the two 
incoming partons (and the outgoing ones) of the system, and from there 
the scales at which they were produced. 

             The limitPTmax input agrees with the output of the 
previous method for the hardest process, and is always true for 
subsequent MPI, since there an unlimited pT for sure 
would lead to double-counting. 
   
 


            virtual void SpaceShower::update( int iSys, Event& event, bool hasWeakRad = false)   
            
This method is called immediately after a timelike branching in the 
iSys'th subsystem. Thus the information for that system may 
be out-of-date, and to be updated. For the standard PYTHIA showers 
this routine does not need to do anything, but that may be different 
in another implementation. The optional final argument is used to signal 
if a weak radiation has occured in the timelike evolution, which might be 
used to switch off the spacelike weak emissions. 
   
 


            virtual double SpaceShower::pTnext( Event& event, double pTbegAll, double pTendAll, int nRadIn = -1)   
            
This is the main driver routine for the downwards evolution. A new 
pT is to be selected based on the current information set up 
by the routines above, and along with that a branching parton or dipole. 
The pTbegAll scale is the maximum scale allowed, from which 
the downwards evolution should be begun (usually respecting the maximum 
scale of each individual parton). If no emission is found above 
pTendAll (and above the respective shower cutoff scales) 
then 0. should be returned and no emissions will be allowed. 
Both scales can vary from one event to the next: if a scale has 
already been selected for MPI or ISR it makes no sense to look for 
a scale smaller than that from FSR, since it would not be able to 
compete, so pTendAll is set correspondingly. As it happens, 
FSR is tried before ISR and MPI in the interleaved evolution, 
but this is an implementation detail that could well change. 

            Typically the implementation of this routine would be to set 
up a loop over all possible radiating objects (dipoles, dipole ends, ...), 
for each pick its possible branching scale and then pick the one 
with largest scale as possible winner. At this stage no branching should 
actually be carried out, since MPI, ISR and FSR still have to be compared 
to assign the winner. 

            The input nRadIn provides the total number of 
ISR and FSR emissions already generated in the event, and so allows a 
special treatment for the very first emission, if desired. 
   
 


            virtual bool SpaceShower::branch( Event& event)   
            
This method will be called once ISR has won the competition with 
MPI and FSR to do the next branching. The candidate branching found 
in the previous step should here be carried out in full. The 
pre-branching partons should get a negative status code and new 
replacement ones added to the end of the event record. Also the 
subsystem information should be updated, and possibly also the 
beams. 

            Should some problem be encountered in this procedure, e.g. if 
some not-previously-considered kinematics requirement fails, it is 
allowed to return false to indicate that no branching 
could be carried out. Also a complete restart of the parton-level 
description may be necessary, see doRestart() below. 
   
 


            int SpaceShower::system()   
            
This method is not virtual. If a branching is constructed by the 
previous routine this tiny method should be able to return the number 
of the selected subsystem iSysSel where it occurred, 
so that the spacelike shower can be told which system to update, 
if necessary. Therefore iSysSel must be set in 
branch (or already in pTnext). 
   
 


            bool SpaceShower::doRestart()   
            
This method is not virtual. If branch(...) above fails 
to construct a branching, and the conditions are such that the whole 
parton-level description should be restarted, then it should return 
true, else not. Currently only the rescattering description can give 
this kind of failures, and so the internal rescatterFail 
boolean must be set true when this should happen, and else false. 
   
 


            bool SpaceShower::getHasWeaklyRadiated()   
            
This method is not virtual. It is used to tell whether a weak gauge 
boson has been emitted in the shower evolution. 
   
 


            virtual void SpaceShower::list( ostream& os = cout)   
            
This method is not at all required. In the current implementation it 
outputs a list of all the dipole ends, with information on the 
respective dipole. The routine is not called anywhere in the public 
code, but has been inserted at various places during the 
development/debug phase. 
   
    


 
 
pythia8-8.1.86.orig/phpdoc/Version.php0000644000175000017500000000271012357553536015770 0ustar  sunsun

Version






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Version
             
 
The settings on this page should not be changed by the ordinary user, 
but appear here for documentation purposes, and so that they can 
form part of the standard databases and be queried accordingly. 
 

            parm   Pythia:versionNumber   
 (default = 8.186)
            
Version and subversion number, with three significant decimals. 
   
 

            mode   Pythia:versionDate   
 (default = 20140708)
            
Last date of change of current (sub)version, in format yyyymmdd. 
   
 


 
 
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pythia8-8.1.86.orig/phpdoc/COPYING0000644000175000017500000004310312357054747014666 0ustar  sunsun		    GNU GENERAL PUBLIC LICENSE
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pythia8-8.1.86.orig/phpdoc/Histograms.php0000644000175000017500000003445512357553536016476 0ustar  sunsun

Histograms






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


     

            Histograms
             
 
The Hist class gives a simple implementation of 
one-dimensional histograms, useful for quick-and-dirty testing, 
without the need to link to more sophisticated packages. 
For this reason it is used in many of the 
";?>sample main programs 
found in the examples subdirectory. 
 

            Basic principles
             
 
We here provide a simple overview of what is involved. 
As a first step you need to declare a histogram, with name, 
title, number of bins and x range (from, to). 

             
   Hist ZpT( "Z0 pT spectrum", 100, 0., 100.); 

             
Alternatively you can first declare it and later define it: 

             
   Hist ZpT; 
   ZpT.book( "Z0 pT spectrum", 100, 0., 100.); 

             
 
Once declared, its contents can be added by repeated calls to 
fill, 

             
   ZpT.fill( 22.7, 1.); 

             
where the first argument is the x value and the second the 
weight. Since the weight defaults to 1 the last argument could have 
been omitted in this case. 
 

             
A set of overloaded operators have been defined, so that histograms 
can be added, subtracted, divided or multiplied by each other. Then the 
contents are modified accordingly bin by bin. Thus the relative 
deviation between two histograms data and 
theory can be found as 

             
  diff = (data - theory) / (data + theory); 

             
assuming that diff, data and theory 
have been booked with the same number of bins and x range. That 
responsibility rests on the user; some checks are made for compatibility, 
but not enough to catch all possible mistakes. 
 

             
Also overloaded operations with double real numbers are available. 
Again these four operations are defined bin by bin, i.e. the 
corresponding amount is added to, subtracted from, multiplied by or 
divided by each bin. The double number can come before or after the 
histograms, with obvious results. Thus the inverse of a histogram 
result is given by 1. / result. 
The two kind of operations can be combined, e.g. 

             
  allpT = ZpT + 2. * WpT 

             
Finally, also the +=, -+, *=, /= are overloaded, with 
the right-hand side being either a histogram or a real number. 
 

            Output format
             
 

             
A histogram can be printed by making use of the overloaded << 
operator, e.g.: 

             
   cout << ZpT; 

             
The printout format is inspired by the old HBOOK one. To understand 
how to read this format, consider the simplified example 

             
                                     
        3.50*10^ 2  9 
        3.00*10^ 2  X   7 
        2.50*10^ 2  X  1X 
        2.00*10^ 2  X6 XX 
        1.50*10^ 2  XX5XX 
        1.00*10^ 2  XXXXX 
        0.50*10^ 2  XXXXX 
 
          Contents 
            *10^ 2  31122 
            *10^ 1  47208 
            *10^ 0  79373 
 
          Low edge  -- 
            *10^ 1  10001 
            *10^ 0  05050 

             
The key feature is that the Contents and 
Low edge have to be read vertically. For instance, 
the first bin has the contents 
3 * 10^2 + 4 * 10^1 + 7 * 10^0 = 347. Correspondingly, 
the other bins have contents 179, 123, 207 and 283. The first bin 
stretches from -(1 * 10^1 + 0 * 10^0) = -10 to the 
beginning of the second bin, at -(0 * 10^1 + 5 * 10^0) = -5. 
 

             
The visual representation above the contents give a simple impression 
of the shape. An X means that the contents are filled up 
to this level, a digit in the topmost row the fraction to which the 
last level is filled. So the 9 of the first column indicates this bin 
is filled 9/10 of the way from 3.00*10^2 = 300 to 
3.50*10^2 = 350, i.e. somewhere close to 345, 
or more precisely in the range 342.5 to 347.5. 
 

             
The printout also provides some other information, such as the 
number of entries, i.e. how many times the histogram has been filled, 
the total weight inside the histogram, the total weight in underflow 
and overflow, and the mean value and root-mean-square width (disregarding 
underflow and overflow). The mean and width assumes that all the 
contents is in the middle of the respective bin. This is especially 
relevant when you plot a integer quantity, such as a multiplicity. 
Then it makes sense to book with limits that are half-integers, e.g. 

             
   Hist multMPI( "number of multiparton interactions", 20, -0.5, 19.5); 

             
so that the bins are centered at 0, 1, 2, ..., respectively.  This also 
avoids ambiguities which bin gets to be filled if entries are 
exactly at the border between two bins. Also note that the 
fill( xValue) method automatically performs a cast 
to double precision where necessary, i.e. xValue 
can be an integer. 
 

            The methods
             
 
We here collect a more complete and formal overview of the methods. 
    


            Hist::Hist()   
            
declare a histogram, but does not define it. 
   
 


            Hist::Hist(string title, int numberOfBins, double xMin, double xMax)   
            
declare and define a histogram, where 

            argument title   :  
is a string with the title of the histogram at output, 
   

            argument numberOfBins   :  
is the number of bin the x range will be subdivided into, 
limited to be at most 1000, 
   

            argument xMin   :  
is the lower edge of the histogram, 
   

            argument xMax   :  
is the upper edge of the histogram. 
   
   
    


            Hist::Hist(const Hist& h)   
            
creates an identical copy of the histogram in the argument, 
including bin contents. 
   
    


            Hist::Hist(string title, const Hist& h)   
            
creates an identical copy of the histogram in the argument, 
including bin contents, except that a new title is provided 
as first argument. 
   
    


            Hist& Hist::operator=(const Hist& h)   
            
copies all properties of the histogram in the argument, 
except that the original histogram title is retained. 
   
 


            void Hist::book(string title, int numberOfBins, double xMin, double xMax)   
            
define a histogram that previously was only declared; 
see above for the meaning of the arguments. 
   
 


            void Hist::name(string title)   
            
change the title of a histogram, but keep other properties unchanged. 
   
 


            void Hist::null()   
            
reset bin contents, but keep other histogram properties unchanged. 
   
 


            void Hist::fill(double xValue, double weight)   
            
fill the histogram, where 

            argument xValue   :  
is the x position where the filling should occur, and 
   

            argument weight  (default = 1.) :  
is the amount of weight to be added at this x value. 
   
   
 


            friend ostream& operator<<(ostream& os, const Hist& h)   
            
appends a simple histogram printout (see above for format) to the 
ostream, while leaving the histogram object itself 
unchanged. At most 100 columns are allowed to be displayed. 
If the number of bins is larger than 100 then the contents of 
adjacent bins are added to give the value in each column. (Two by two 
up to 200 bins, three by three up to 300, and so on, with the very 
last column possibly summing fewer rows than the others.) 
   
 


            void Hist::table(ostream& os = cout, bool printOverUnder = false, bool xMidBin = true)   
            
   
void Hist::table(string fileName, bool printOverUnder = false, bool xMidBin = true)   
            
print a two-column table, where the first column gives the center of 
each bin and the second one the corresponding bin contents. The table 
may be useful for plotting e.g. with Gnuplot. 

            The desired output stream or file name can be provided as argument. 
The former is more flexible (e.g., it allows easy append to an existing 
file), whereas the latter is simpler for the case that each histogram 
should be a file of its own. 

            An optional printOverUnder = true argument allows also 
underflow and overflow contents to be printed. (The arbitrary x 
coordinates for these are placed as if corresponding to same-size bins 
just below or above the regular histogram bins.) 

            An optional xMidBin = false argument will have the
x value at the beginning of each bin printed, rather than the
default midpoint value.
   
 


            friend void table(const Hist& h1, const Hist& h2, ostream& os = cout, bool printOverUnder = false, bool xMidBin = true)   
            
   
friend void table(const Hist& h1, const Hist& h2, string fileName, bool printOverUnder = false, bool xMidBin = true)   
            
print a three-column table, where the first column gives the center of 
each bin and the second and third ones the corresponding bin contents 
of the two histograms. Only works if the two histograms have the same 
x axis (within a tiny tolerance), else nothing will be done. 
The optional last two arguments allows also underflow and overflow 
contents to be printed, and the x to refer to the beginning
of the bin rather than the center; see above. 
   
 


            double Hist::getBinContent(int iBin)   
            
return the value in bin iBin, ranging from 1 through 
numberOfBins, with 0 for underflow and 
numberOfBins + 1 for overflow. 
   
 


            int Hist::getEntries()   
            
return the number of entries, i.e. the number of time that 
fill(...) has been called. 
   
 


            bool Hist::sameSize(const Hist& h)   
            
checks that the number of bins and upper and lower limits are the 
same as in the histogram in the argument. 
   
 


            void Hist::takeLog(bool tenLog = true)   
            
by default take 10-logarithm of current contents bin by bin. With 
optional argument false instead take e-logarithm 
of contents bin by bin. If to be used, then right before the 
histogram is output. 
   
 


            void Hist::takeSqrt()   
            
take square root of current contents bin by bin, with negative contents 
set to zero. 
   
 


            Hist& Hist::operator+=(const Hist& h)   
            
   
Hist& Hist::operator-=(const Hist& h)   
            
adds or subtracts the current histogram by the contents of the 
histogram in the argument if sameSize(...) is true, 
else does nothing. 
   
 


            Hist& Hist::operator*=(const Hist& h)   
            
   
Hist& Hist::operator/=(const Hist& h)   
            
multiplies or divides the current histogram by the contents of the 
histogram in the argument if sameSize(...) is true, 
else does nothing. 
   
 


            Hist& Hist::operator+=(double f)   
            
   
Hist& Hist::operator-=(double f)   
            
adds or subtracts each bin content by the common offset f. 
   
 


            Hist& Hist::operator*=(double f)   
            
   
Hist& Hist::operator*=(double f)   
            
multiplies or divides each bin content by the common factor f. 
   
 


            friend Hist operator+(double f, const Hist& h1)   
            
   
friend Hist operator+(const Hist& h1, double f)   
            
   
friend Hist operator+(const Hist& h1, const Hist h2)   
            
add a constant to a histogram or two histograms to each other, bin by bin. 
   
 


            friend Hist operator-(double f, const Hist& h1)   
            
   
friend Hist operator-(const Hist& h1, double f)   
            
   
friend Hist operator-(const Hist& h1, const Hist h2)   
            
subtract a histogram from a constant, a constant from a histogram, 
or two histograms from each other, bin by bin. 
   
 


            friend Hist operator*(double f, const Hist& h1)   
            
   
friend Hist operator*(const Hist& h1, double f)   
            
   
friend Hist operator*(const Hist& h1, const Hist h2)   
            
multiply a constant by a histogram or two histograms by each other, 
bin by bin. 
   
 


            friend Hist operator/(double f, const Hist& h1)   
            
   
friend Hist operator/(const Hist& h1, double f)   
            
   
friend Hist operator/(const Hist& h1, const Hist h2)   
            
divide a constant by a histogram, a histogram by a constant, 
or two histograms by each other, bin by bin. 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/JetMatching.php0000644000175000017500000010531512357553536016545 0ustar  sunsun 


Jet Matching






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Jet Matching
             
 
This manual page describes the parton-jet matching interfaces for 
PYTHIA8. In this approach, usually referred to as MLM matching 
[Man02, Man07], the final jets after parton-shower evolution 
and jet clustering are matched to the original partons. The event is 
accepted if a reasonable match is found, and rejected if not. The 
rejection step in an approximate way introduces a Sudakov form factor 
on to the hard processes. Notably the parton shower should not generate 
an emission that would doublecount hard activity already included in 
the matrix-element description. Within this general ansatz, different 
technical solutions can be adopted. We provide two alternatives, one 
based on the algorithm used in ALPGEN [Man03], and another on 
the one used in Madgraph [Alw11], both reimplemented from 
scratch here. The main points of these two algorithms are outlined 
further down on this page. 
 

            We also allow for two alternative sources of external events, 
one in the ALPGEN native format and one in the Madgraph LHEF-based one. 
All four combinations of input format and matching style are 
implemented. In the following it is therefore important to keep 
the two aspects apart, whenever the ALPGEN and Madgraph labels 
are used. 
 

            Currently all the files of interest are located in the 
examples/ subdirectory: 

               

            • JetMatching.h contains the machinery for the 
parton-jet matching, in the two JetMatchingAlpgen 
and JetMatchingMadgraph classes. 

              •  

            • GeneratorInput.h contains three classes for the 
reading of ALPGEN event and parameter files, and one for the reading 
of Madgraph parameters. 

              •  

            • CombineMatchingInput.h contains three classes that 
combine the reading of events with the matching of them. 

              •  

            •  
main32.cc, main32.cmnd : a sample main program and card 
file showing the usage of the previous files/classes. 

              •  

             
 

            Event input source
             
 
External sources of partons are used in the parton-jet matching 
process. The source of the partons has been separated from the 
implementation of the matching algorithm. By default, PYTHIA8 
contains a machinery to process Les Houches Event Files (LHEFs) 
as described on the 
";?>Les Houches Accord 
and ";?>Beam Parameters 
pages. Madgraph5 adheres to this format, but also contains some further 
non-standardized information that can be used. The parsing of the native 
ALPGEN file format is described on the 
";?>Alpgen Event Interface page. 
 

            Commonly, the source of external partons also contains information 
about how a particular type of matching algorithm should be employed. 
This information is handled by the AlpgenPar class for 
ALPGEN files, and MadgraphPar for LHEFs. 
The user can choose to set default matching parameters using the 
";?>Alpgen:setMLM 
flag for ALPGEN files. For LHEFs, instead, the setting of default 
parameters is controlled with the JetMatching:setMad flag: 
 


            JetMatching:setMad  On
Off
   (default = on)
            
When enabled, the merging parameters are set according to the values 
in the LHEF header. Specifically, the header must set the 
ickkw, xqcut, maxjetflavor 
and alpsfact values, and ickkw must be nonzero. 
Note that these labels are Madgraph-specific. For other programs 
with LHEF output, or for Madgraph files lacking this information, 
these parameters should be set by the user (or one can rely on the 
default values). The following parameters (described below) must then 
be specified: 

               

            •  JetMatching:doMerge = ickkw, 
              •  

            •  JetMatching:qCut = xqcut, 
              •  

            •  JetMatching:nQmatch = maxjetflavor, 
              •  

            •  JetMatching:clFact = alpsfact.  
              •  

             
With this flag on, the values from the LHEF for these parameters take 
precedence over other values. 
   
 

             Jet Matching parameters 
             
 
A class JetMatching, derived from UserHooks, is 
used to define the basic structure of a parton-jet matching algorithm. 
Two versions are implemented here, based on the FORTRAN code provided 
by the ALPGEN and Madgraph packages, respectively: 
JetMatchingAlpgen and JetMatchingMadgraph. 
The matching parameters are defined with the JetMatching:* 
keyword. 
 

             Scheme and Usage 
             
 


            JetMatching:merge  On
Off
   (default = off)
            
Master switch to activate parton-jet matching. 
When off, all external events are accepted (unless they 
are rejected due to weighting or event processing problems). 
   
 


            JetMatching:scheme      (default = 1; minimum = 1; maximum = 2)
            
The parton-jet MLM-style matching scheme. 

            
1 :  The one inspired by the Madgraph matching code,  here implemented in the JetMatchingMadgraph class.
            
2 :  The one inspired by the ALPGEN matching code,  here implemented in the JetMatchingAlpgen class.
            
 

            Jet algorithm
             
 
The choice of jet algorithm and associated parameters can be adjusted with 
the settings below. The PYTHIA8 internal CellJet and 
SlowJet routines are used for jet finding.  See the 
";?>Event Analysis page for more details. 
 


            JetMatching:jetAlgorithm      (default = 1; minimum = 1; maximum = 2)
            
The choice of jet algorithm to use when merging against hard partons. 
Currently, only SlowJet with the kT algorithm (and 
useStandardR = false) is supported for Madgraph-style 
matching, while there is full freedom for the ALPGEN-style matching. 

            
1 : 
            
2 : 
            
 


            JetMatching:slowJetPower      (default = -1; minimum = -1; maximum = 1)
            
The power to use in the SlowJet algorithm. 

            
-1 : 
            
0 : 
            
1 : 
            
 


            JetMatching:nEta      (default = 100; minimum = 50)
            
Specific to the CellJet algorithm, the number of bins 
in pseudorapidity. 
 
 
 
Specific to the CellJet algorithm, the number of bins in phi. 
 
 
 
Specific to the CellJet algorithm, the minimum eT 
for a cell to be acceptable as the trial center of a jet. 
 
 
 
Specific to the CellJet algorithm, cells with 
eT < eTthreshold are completely neglected by the jet algorithm. 
 
 

            Merging parameters
             
 
The following options are the three main parameters for the merging 
procedure. Although here they are in principle free parameters, they should 
be heavily influenced by the hard process generation cuts. 
These values can be set automatically based on the information in the 
ALPGEN file or LHEF. 
 
 
For the CellJet algorithm, this gives the minimum transverse 
energy inside a cone for a jet to be accepted. For the SlowJet 
algorithm, this is instead the minimum transverse momentum required for a 
cluster to be accepted as a jet. For Madgraph-style matching, this 
parameter should match the qCut parameter described later. 
 
 
 
For the CellJet algorithm, this gives the size of the cone 
in (eta, phi) space drawn around the geometric center of the jet. 
For the SlowJet algorithm, this gives the R parameter. 
 
 
 
For both jet algorithms, this defines the maximum pseudorapidity that 
the detector is assumed to cover. In this context, however, it is tied 
to the phase space region in which partons have been generated. 
For the Alpgen-style matching, particles within 
etaJetMax + coneRadius are passed to the jet algorithm, 
with only jets within etaJetMax retained in the merging. 
For the Madgraph-style matching, only particles within etaJetMax 
are used. 
 
 

            Exclusive mode
             
 
The following settings determine whether clustered jets which do not 
match an original hard parton are allowed. They are typically permitted 
in the highest jet multiplicity sample, where the parton shower may 
produce extra hard jets, without risk of double counting. Any 
extra jet produced by the shower must be softer than any matched light 
jet, or else the event is vetoed. 
 
 
Exclusive or inclusive merging. 

            
0 :   The merging is run in inclusive mode. All partons must match jets, but  additional jets are allowed, provided they are not harder than the  matched jets.  
            
1 :   The merging is run in exclusive mode.  All partons must match jets,  and no additional jets are allowed.  
            
2 :   If nJet < nJetMax, then the merging is run in exclusive  mode, otherwise it is run in inclusive mode. For Madgraph-style matching,  this is checked on an event-by-event basis, which is useful when an LHEF  contains a "soup" of partonic multiplicities.  If nJetMax < 0 or nJet < 0, then the  algorithm defaults to exclusive mode.  
            
 


            JetMatching:nJet      (default = -1; minimum = -1)
            
When JetMatching:exclusive = 2, nJet indicates 
the minimum number of additional light jets in the incoming process. 
This value may be set automatically. 
             
 
 
When JetMatching:exclusive = 2, nJetMax is used to 
indicate the maximum number of jets that will be matched. 
 
 

            Jet matching
             
 
The following parameters control the criteria for matching a clustered jet 
to a hard parton. 
 
 
Controls which particles are clustered by the jet algorithm. 

            
1 :   This option explicitly disallows top quarks, leptons and photons. All other  particle types are passed to the jet algorithm.  
            
2 :   No extra particles are disallowed.  
            
 

             Alpgen-specific parameters 
             
 


            JetMatching:jetMatch      (default = 1; minimum = 1; maximum = 2)
            
Criteria for matching a clustered jet to a parton. 

            
1 :   This option can be used with both the CellJet and  SlowJet algorithms. The delta R between each parton  and jet is taken, and the minimal value compared against  coneMatchLight * coneRadius for light jets or  coneMatchHeavy * coneRadiusHeavy for heavy jets.  Note that by default coneRadiusHeavy = coneRadius, see below.  If below this value, the parton and jet are considered to match.  With CellJet, the delta R measure is in  (eta, phi), while with SlowJet it is in  (y, phi).  
            
2 :   This option can only be used with the SlowJet algorithm.  The hard partons are inserted into the parton level event as "ghost"  particles, but at the correct (y, phi) position. If this  particle is then clustered into a jet, it is considered a match.  
            
 


            JetMatching:coneMatchLight      (default = 1.5; minimum = 0.1)
            
The coneMatchLight parameter used when 
JetMatching:jetMatch = 1. 
   
 


            JetMatching:coneRadiusHeavy      (default = -1.0)
            
The coneRadiusHeavy parameter used when 
JetMatching:jetMatch = 1. When assigned a negative value, 
the value of JetMatching:coneRadius is used. 
   
 


            JetMatching:coneMatchHeavy      (default = 1.0; minimum = 0.1)
            
The coneMatchHeavy parameter used when 
JetMatching:jetMatch = 1. 
   
 

            Madgraph-specific parameters 
             



            JetMatching:doShowerKt  On
Off
   (default = off)
            
This switch changes the merging prescription to the shower-kT matching scheme 
outlined in [Alw08]. This scheme differs from "classical" MLM jet 
matching with respect to when the matching veto is checked. The shower-kT 
scheme considers already immediately after the first shower emission if an 
event should be discarded. A detailed comparison of the "classical" MLM 
prescription (e.g. Madgraph-style matching with 
JetMatching:doShowerKt = off) and the shower-kT scheme are 
in preparation. 
   
  


            JetMatching:qCut      (default = 10.0; minimum = 0.0)
            
kT scale for merging shower products into jets. 
   
 


            JetMatching:nQmatch      (default = 5; minimum = 3; maximum = 6)
            
Controls the treatment of heavy quarks. 

            
5 :   All quarks (except top) are treated as light quarks for matching.  
            
4 :   Bottom quarks are treated separately.  Currently, they are unmatched.  
            
 


            JetMatching:clFact      (default = 1.0)
            
The clFact parameter determines how jet-to parton matching 
is done. A match is defined as a squared cluster scale that equals: 

            |clFact| * qCut for inclusive mode, 

            |clFact| * max(qCut,min(pT(parton))) 
for exclusive mode, clFact ≥ 0, or 

            |clFact| * min(kT(parton)) for exclusive mode, 
clFact < 0. 
   


             
A preliminary implementation of the FxFx prescription for combining multiple 
NLO calculations [Fre12] is available. We would like to stress that 
this implementation is still undergoing validation. FxFx merging with aMC@NLO 
shares most parameters with the leading-order (MadGraph-style) MLM 
prescriptions and can be activated by using the three additional settings 
below. 
 


            JetMatching:doFxFx  On
Off
   (default = off)
            
If turned on, then FxFx merging with aMC@NLO inputs is performed. Note that 
this requires event samples that are specifically generated for this task. 
   
 

            mode   JetMatching:nPartonsNow   
 (default = -1)
            
The number of partons in Born-like events for the current input LHEF. If 
the current sample e.g. contains pp → e+e- + 2 partons 
Born-like configurations, and pp → e+e- + 3 partons 
Real-emission-type events, then JetMatching:nPartonsNow = 2 
applies. 
   
 


            JetMatching:qCutME      (default = 10.0)
            
The cut applied to regulate multi-jet matrix elements. Note that this cut can 
differ from the matching scale. 
   
 

            Alpgen-style parton-jet matching and merging
             
 
This section describes the Alpgen-style MLM merging algorithm for PYTHIA8. 
The most common reference to the algorithm is [Man02]. In many 
respects, however, the implementation provided in the ALPGEN package should 
be considered the official description of the MLM merging procedure. 
Although designed primarily to work with events generated with ALPGEN, it 
can in principle also be used with events from a different source. This 
should not be done without thought, however, and it is up to the user to 
understand the details of the algorithm and the implications of using a 
different hard process generator. 
 

             
First, either the CellJet or SlowJet jet 
algorithm is chosen. Both of these algorithms have an R and 
an etaMax parameter. In addition, CellJet has an 
eTmin and SlowJet has a pTmin parameter. 
These are the primary three parameters of the merging procedure, and in 
practice are set dependent on the cuts applied to the matrix element (ME) 
generation. We stress that the merging procedure is not tied to the 
geometry of a specific physical detector, but only to the match between 
the original partons and the resulting jets, using standard jet algorithms 
in the phase space region where partons have been generated. 
 

             
ME samples with different jet multiplicities are run through the event 
generator, and the generation interrupted after parton showers have been 
applied, but before resonance decays and beam remnants have been 
processed. Note in particular that top quarks will not yet be decayed, 
which may lead to slight differences with the PYTHIA 6 interface included 
with the ALPGEN package. In what follows, the hardness measure of 
jets/partons is taken to be eT when CellJet 
is used and pT when SlowJet is used. The hard 
system (ignoring all MPI systems) is then analysed: 

               
  
            •  
    The particles in the original matrix element process are sorted into 
    light partons, heavy partons and other particles. For backwards 
    compatibility, a light parton is defined as the set (d, u, s, c, 
    b, g) with zero mass. A heavy parton is defined as the set 
    (c, b, t) with non-zero mass. 
  
              •  
  
            •  
    All particles not originating from the heavy partons or other 
    particles are passed to the jet algorithm and clustered. 
  
              •  
  
            •  
    Clustered jets are matched to the light partons in the original ME 
    process. There are two different methods which can be used: 
    
                 
      
              •  
        Method 1: The following is done for each parton, in order 
        of decreasing hardness. The delta R between the parton 
        and all jets is calculated and the smallest value taken. If 
        this is less than the jet R parameter, possibly 
        multiplied by a constant, the jet and parton are considered to 
        match, and the jet is removed from further consideration. 
        Note that for CellJet the delta R measure 
        is in (eta, phi), while for SlowJet, it is 
        in (y, phi). 
      
                •  
      
              •  
        Method 2: This method is only possible when using the 
        SlowJet algorithm. Before the clustering is performed, 
        extremely soft "ghost" particles are added to the event at the 
        (y, phi) coordinates of the original matrix element 
        partons. If such a particle is clustered into a jet, the parton 
        and jet are considered to match. The idea of "ghost" particles 
        was originally introduced by FastJet as a way to measure jet 
        areas [Cac06] and should not affect clustering with an 
        infrared-safe jet algorithm. 
      
                •  
    
               
  
            •  
    If there is a light ME parton remaining which has not been matched 
    to a jet, then the event is vetoed. If all ME partons have been 
    matched to a jet, but there are still some extra jets remaining, 
    then two options are possible: 
    
                 
      
              •  
        Exclusive mode: the event is vetoed. This is typically used when 
        there are ME samples with higher jet multiplicities, which would 
        fill in the extra jets. 
      
                •  
      
              •  
        Inclusive mode: the event is retained if the extra jets are softer 
        than the softest matched jet. This is typically used when 
        there is no ME sample with higher jet multiplicity, so the parton 
        shower should be allowed to give extra jets. 
    
               
  
              •  
  
            •  
    All particles originating from the heavy partons are passed to the 
    jet algorithm and clustered. 
  
              •  
  
            •  
    The clustered jets are again matched to the original partons, but 
    there is no requirement for a match to be present; all matched jets 
    are immediately discarded. The matching procedure is much the same 
    as for light partons, but with two differences when delta R 
    matching is used. First, a different R parameter than that 
    used by the jet algorithm may optionally be given. Second, all jets 
    that are within the given radius of the parton are matched, not 
    just the one with the smallest delta R measure. If there 
    are still extra jets remaining then in exclusive mode the event is 
    immediately vetoed, while in inclusive mode the event is retained if 
    the extra jets are softer than the softest light matched jet. 
  
              •  

             
 

             
Some different options are provided, specified further above in the 
parameters section. These are set so that, by default, the algorithm 
closely follows the official MLM interface provided in the ALPGEN package. 
 

             
All vetoing of events is done through the usual 
";?>User Hooks machinery, and is 
therefore already taken into account in the cross section. In the output 
from ";?>Pythia::stat(), 
the difference between the "Selected" and "Accepted" columns gives the 
number of events that have not survived the vetoing procedure. It is 
still the responsibility of the user to add together the results from 
runs with different jet multiplicities. In the simplest case, when 
ALPGEN input is used and the hard process parameters are used to guide 
the merging procedure, it is enough to set the 
JetMatching:nJetMax parameter. 
 

            Madgraph-style parton-jet Merging and Matching
             
 

             
This section describes the Madgraph-style parton-jet matching algorithm 
for PYTHIA8. 
 

             
First, the kT jet algorithm is applied using the PYTHIA8 
SlowJet implementation. The useStandardR = false 
is used, ie. the (delta R)^2 separation is defined as 
2 (cosh(delta y) - cos(delta phi)) rather than the more common 
(delta y)^2 + delta phi)^2. The R, etaMax, 
and a pTmin parameters are specified. By default, R = 1 
and pTmin = qCut . It is not recommended to change these. 
These should match the algorithm parameters used in the Madgraph 
Matrix Element (ME) generation. 
 

             
ME samples with different jet multiplicities are run through the event 
generator, and the generation is interrupted after parton showers have 
been applied, but before resonance decays and beam remnants have been 
processed. In what follows, the hardness measure of jets/partons is taken 
to be kT relative to qCut. 
The hard system (ignoring all MPI systems) is analyzed: 

               
  
            •  
    The hard partons in the original matrix element process, provided by 
    the LHEF, are sorted into light partons, heavy partons and other 
    particles. A heavy parton is defined by the 
    JetMatching:nQmatch or by the maxjetflavor 
    value in the LHEF. nQmatch refers to the absolute value of 
    the quark PDG identity code. 
  
              •  
  
            •  
    All partons arising from the parton shower are sorted based on their 
    motherhood. A showered parton arising from a heavy parton or "other" 
    parton classified in the previous step is not passed to the jet 
    algorithm. All other partons are clustered into light jets. 
  
              •  
  
            •  It is checked whether there are "too few" or "too many" light jets. 
    If the number of light jets is less than the number of light partons 
    defined by nQmatch, the event is vetoed. If the number is 
    larger, the event is vetoed only in exclusive mode (defined below). 
  
              •  
  
            •  In exclusive mode, the number of jets matches the number of light 
    partons. In inclusive mode, the jets are re-clustered until the number 
    of jets equals the number of light partons. Next, each light hard 
    parton is clustered, one at a time, with the jets until a match is found. 
    A match is defined as a squared cluster scale that equals: 
    
                 
      
              • |clFact| * qCut for inclusive mode,
                •  
      
              • |clFact| * max(qCut,min(pT(parton))) 
         for exclusive mode, clFact ≥ 0, or
                •  
      
              • |clFact| * min(kT(parton)) for exclusive 
         mode, clFact < 0.
                •  
    
               
    If no match is found, the event is vetoed. When a parton 
    matches a jet, the jet is removed from the collection, and 
    the process continues. The process terminates when all partons 
    are matched to a jet, or a parton is unmatched. 
  
              •  
  
            •  
    All particles originating from the heavy partons are not used. 
  
              •  

             
In exclusive mode, it is expected that ME samples with higher parton 
multiplicity are available to fill the phase space above qCut. 
The inclusive mode is when there are no such samples, and the parton 
shower is used to fill the phase space. 
 

             
Some different options are provided, specified further above. These 
are set so that, by default, the algorithm closely follows the 
FORTRAN interface ME2Pythia provided in the Madgraph 
package. 
 

             
All vetoing of events is done through the usual 
";?>User Hooks machinery, and is 
therefore already taken into account in the cross section. In the output 
from ";?>Pythia::stat(), 
the difference between the "Selected" and "Accepted" columns gives the 
number of events that have not survived the vetoing procedure. It is 
still the responsibility of the user to add together the results from 
runs with different jet multiplicities. In the simplest case, when 
the hard process parameters are used to guide the merging procedure, 
events will be matched in the exclusive mode. 
 

             
  

            A note on combining UserHooks
             
 
As have been noted above, the matching is implemented using classes 
derived from the ";?>UserHooks 
class, thereby gaining access to the event generation process at the 
relevant locations. For native ALPGEN files, which do not adhere to 
the Les Houches standards, it is also necessary to intervene with 
a UserHooks-derived  AlpgenHooks to handle 
the extraction and setting of relevant extra information. 
 

             
One must then combine multiple UserHooks classes, 
such that the functionality of both is present. A prerequisite 
is that the different UserHooks classes should be 
declared with virtual inheritance, e.g. 

             
  class JetMatching : virtual public UserHooks 

             
Without this option, when combining two UserHooks-derived 
classes, two copies of the base UserHooks class would be 
created, leading to ambiguities. 
 

             
The two first classes in CombineMatchingInput.h combine 
ALPGEN input with the two different matching schemes, e.g. for the first 

             
class JetMatchingAlpgenInputAlpgen : public AlpgenHooks, 
  public JetMatchingAlpgen { 
public: 
  // Constructor and destructor. 
  JetMatchingAlpgenInputAlpgen(Pythia& pythia) : AlpgenHooks(pythia), 
    JetMatchingAlpgen() { } 
  ~JetMatchingAlpgenInputAlpgen() {} 
  // Initialisation. 
  virtual bool initAfterBeams() { 
    if (!AlpgenHooks::initAfterBeams()) return false; 
    if (!JetMatchingAlpgen::initAfterBeams()) return false; 
    return true; 
  } 
  // Process level vetos. 
  virtual bool canVetoProcessLevel() { 
    return JetMatchingAlpgen::canVetoProcessLevel(); 
  } 
  .... 
}; 

             
This class inherits from both AlpgenHooks and 
JetMatchingAlpgen. Any functions which are present 
in both classes should be overridden with a function that calls 
the different parent methods in the desired order. In the 
above example, the only shared methods are the constructor and 
initAfterBeams(). 
 


"?>


            





 
 
pythia8-8.1.86.orig/phpdoc/MasterSwitches.php0000644000175000017500000003502412357553536017314 0ustar  sunsun

Master Switches






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Master Switches
             
 
Sometimes it may be convenient to omit certain aspects of the event 
generation chain. This cannot be motivated in a full-blown production 
run, but can often be convenient for own understanding and for 
debug purposes. The flags on this page allow just that. 
 

             
The event generation is subdivided into three levels: the process 
level, the parton level and the hadron level, and flags are grouped 
accordingly. 
 

            Process Level
             
 
The ProcessLevel class administrates the initial step of 
the event generation, wherein the basic process is selected. Currently 
this is done either using some of the internal processes, or with 
Les Houches Accord input. 
 

             
There could not be a complete event without an initial process, so 
it would not be a normal action to switch off this step. Furthermore, 
without a process set, it is also not possible to carry out the tasks 
on the parton level. It is still possible, however, to hadronize 
a parton-level configuration provided by some external program. 
 


            ProcessLevel:all  On
Off
   (default = on)
            
If off, do not attempt to carry out any generation at all on the 
process level. For the parton level only final-state radiation 
is possible, using the Pythia::forceTimeShower(...) method. 
Do allow parton configurations stored in the event record to hadronize 
and hadrons to decay, however, as set by the HadronLevel 
switches. Further details are found 
";?>here. 
   
 

             
For ProcessLevel:all = on one part of the event generation 
on this level may be switched off individually: 
 


            ProcessLevel:resonanceDecays  On
Off
   (default = on)
            
Master switch to allow resonance decays; on/off = true/false. 
Normal hadrons and leptons do not count as resonances, so this is 
aimed specifically towards Z^0, W^+-, t, h^0 and similar 
objects beyond the Standard Model. Do not use this option if you 
may produce coloured resonances and intend to allow hadronization, 
since currently the program would not know how to handle this. 
   
 

             
It is possible to stop the generation immediately after the basic 
process has been selected, see PartonLevel:all below. 
 

            PartonLevel
             
 
The PartonLevel class administrates the middle step of the 
event generation, i.e. the evolution from an input (hard) process from 
ProcessLevel, containing a few partons only, to a complete 
parton-level configuration to be handed on to HadronLevel. 
This step involves the application of initial- and final-state radiation, 
multiparton interactions and the structure of beam remnants. 
 


            PartonLevel:all  On
Off
   (default = on)
            
If off then stop the generation after the hard process has been 
generated, but before the parton-level and hadron-level steps. 
The process record is filled, but the event 
one is then not. 
   
 

             
For PartonLevel:all = on some parts of the event generation 
on this level may be switched off individually: 
 


            PartonLevel:MPI  On
Off
   (default = on)
            
Master switch for multiparton interactions; on/off = true/false. 
Further options are found ";?>here. 
   
 


            PartonLevel:ISR  On
Off
   (default = on)
            
Master switch for initial-state radiation; on/off = true/false. 
Further options are found ";?>here. 
   
 


            PartonLevel:FSR  On
Off
   (default = on)
            
Master switch for final-state radiation; on/off = true/false. 
Further options are found ";?>here. 
If you leave this switch on, the following two switches allow 
more detailed control to switch off only parts of the showers. 
   
 


            PartonLevel:FSRinProcess  On
Off
   (default = on)
            
Switch for final-state radiation in association with the hard process 
itself; on/off = true/false. In addition PartonLevel:FSR 
must be on for these emissions to occur. 
   
 


            PartonLevel:FSRinResonances  On
Off
   (default = on)
            
Master switch for final-state radiation in any resonance decays 
subsequent to the hard process itself; on/off = true/false. In addition 
PartonLevel:FSR must be on for these emissions to occur. 
   
 


            PartonLevel:earlyResDec  On
Off
   (default = off)
            
If on then do resonance decays early, before beam handling including 
colour reconnection. If off then decays are done afterwards, and so 
are unaffected by colour reconnection. The early-decay option is still 
primitive, for some first studies. Eventually the choice should be 
made individually for each resonance based on lifetime (and the 
environment). 
   
 

             
Switching off all the above MPI/ISR/FSR switches is not equivalent 
to setting PartonLevel:all = off. In the former case a 
minimal skeleton of parton-level operations are carried out, such as 
tying together the scattered partons with the beam remnants into colour 
singlets, and storing this information in the event record. 
It is therefore possible to go on and hadronize the event, if desired. 
In the latter case no operations at all are carried out on the 
parton level, and therefore it is also not possible to go on to the 
hadron level. 
 


            PartonLevel:Remnants  On
Off
   (default = on)
            
Master switch for addition of beam remnants; on/off = true/false. 
Only intended for very special applications, and cannot be used to 
generate complete events. Specifically, unlike the other switches above, 
the program will complain and possibly crash unlike you also set 
HadronLevel:all = off and Check:event = off. 
   
 

             
It is possible to stop the generation immediately after the parton level 
has been set up, see HadronLevel:all below. 
 

            HadronLevel
             
 
The HadronLevel class administrates the final step of the 
event generation, wherein the partonic configuration from 
PartonLevel is hadronized, including string fragmentation 
and secondary decays. 
 

             
Most of the code in this class itself deals with subdividing the partonic 
content of the event into separate colour singlets, that can be 
treated individually by the string fragmentation machinery. When a 
junction and an antijunction are directly connected, it also breaks 
the string between the two, so that the topology can be reduced back 
to two separate one-junction systems, while still preserving the 
expected particle flow in the junction-junction string region(s). 
 


            HadronLevel:all  On
Off
   (default = on)
            
If off then stop the generation after the hard process and 
parton-level activity has been generated, but before the 
hadron-level steps. 
   
 

             
For HadronLevel:all = on some parts of the event generation 
on this level may be switched off individually: 
 


            HadronLevel:Hadronize  On
Off
   (default = on)
            
Master switch for hadronization; on/off = true/false. 
Further options are found ";?>here. 
   
 


            HadronLevel:Decay  On
Off
   (default = on)
            
Master switch for decays; on/off = true/false. 
Further options are found ";?>here. 
   
 


            HadronLevel:BoseEinstein  On
Off
   (default = off)
            
Master switch for the simulation of Bose-Einstein effects; 
on/off = true/false. Further options are found 
";?>here. 
   
 

            Printing
             
 


            Print:quiet  On
Off
   (default = off)
            
Can be set on to avoid the printing during program execution, to the 
largest extent possible. This flag acts by setting the relevant values 
for Init:showProcesses, 
Init:showMultipartonInteractions, 
Init:showChangedSettings, 
Init:showAllSettings, 
Init:showChangedParticleData, 
Init:showChangedResonanceData, 
Init:showAllParticleData, 
Init:showOneParticleData, 
Next:numberCount, 
Next:numberShowLHA, 
Next:numberShowInfo, 
Next:numberShowProcess, and 
Next:numberShowEvent. 
The change is to off or 0 for Print:quiet = off, 
and restores to the respective default value for = on. 
Those changes take effect immediately, so individual settings can be 
changed afterwards. 
   
 
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/QCDProcesses.php0000644000175000017500000005470712357553536016656 0ustar  sunsun

QCD Processes






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            QCD Processes
             
 
This section is subdivided into soft and hard QCD processes, with 
open charm and bottom production set aside as a special part of the 
latter, and three-jet topologies as a special subset. Kindly note 
that there is a considerable amount of overlap between the soft and 
hard process classes, so that you are likely to double-count 
if you include both in a run. 
 

            Soft QCD processes
             
 
As a rule, the processes in this class should not be mixed with 
the simulation of other processes. All by themselves, they are 
intended to represent the total cross section of hadron collisions, 
with the exception of the "rare processes" that one wishes to study 
separately. In particular, jet physics at all scales occurs as part 
of the minimum-bias description. 
 

             
We here use the "minimum bias" expression as a shorthand for 
inelastic, nondiffractive events. Strictly speaking, "minimum bias" 
represents an experimental procedure of accepting "everything", with 
some non-universal cuts to exclude elastic and diffractive topologies. 
In practice, the experimental minimum-bias sample may then contain 
some contamination of what is in PYTHIA classified as diffractive, 
especially (high-mass) double diffractive. 
 

             
Some options to modify these cross sections are found on the 
";?>Total Cross Sections page. 
 


            SoftQCD:all  On
Off
   (default = off)
            
Common switch for the group of all soft QCD processes, 
as listed separately in the following. 
   
 


            SoftQCD:nonDiffractive  On
Off
   (default = off)
            
The inelastic nondiffrative part of the total cross section, i.e. 
what would often be called the "minimum-bias component". 
The formalism is based on an ";?> 
eikonalized description of all the hard QCD processes, so 
includes them in combination with low-pT events. 
Code 101.
             
Since the current description is handled by the multiparton-interactions 
machinery as part of the parton-level processing, no hard process at 
all is defined at the process-level part of the event generation. 
Fortunately, in this case a special 
";?>codeSub() 
method provides information on the first, i.e. hardest, subprocess 
selected by the multiparton-interactions machinery. 

            Note: this flag was precviously named 
SoftQCD:minBias, since it is almost equivalent to 
the minimum-bias component of the total cross section. It has invited 
some confusion, however, since "minimum-bias" usually refers to the 
experimental procedure, while "(inelastic) non-diffractive" better 
relates to the way events are generated in the program code. 
(Although also what separates diffractive from nondiffractive physics 
can be a matter of definition.)  For backwards compatibility the 
SoftQCD:minBias name can be used as an alternative to 
SoftQCD:nonDiffractive for some time yet. 
   
 


            SoftQCD:elastic  On
Off
   (default = off)
            
Elastic scattering A B → A B. 
Code 102. It is possible to include ";?> 
Coulomb corrections, but by default this is off. 
   
 


            SoftQCD:singleDiffractive  On
Off
   (default = off)
            
Single diffractive scattering A B → X B and 
A B → A X. See page on ";?> 
Diffraction for details. Codes 103 and 104. 
   
 


            SoftQCD:doubleDiffractive  On
Off
   (default = off)
            
Double diffractive scattering A B → X_1 X_2. 
See page on ";?>Diffraction 
for details. Code 105. 
   
 


            SoftQCD:centralDiffractive  On
Off
   (default = off)
            
Central diffractive scattering A B → A X B 
(a.k.a. double-Pomeron exchange, DPE). See pages on 
";?>Total Cross Sections 
and on ";?>Diffraction for details. 
In particular note the SigmaTotal:zeroAXB flag, 
which is off in most tunes, and that therefore would need to 
be reset to on after the selection of a tune (even the default one). 
Code 106. 
   
 


            SoftQCD:inelastic  On
Off
   (default = off)
            
All of the above processes, except for elastic. Codes 101, 
103, 104, 105 and 106. 
   
 

            Hard QCD processes
             
 
This group contains the processes for QCD jet production above 
some minimum pT threshold. The pT_min cut cannot be put 
too low, or else unreasonably large jet cross sections will be obtained. 
This is because the divergent perturbative QCD cross section is used 
in this process group, without any regularization modifications. 
An eikonalized description, intended to be valid at all pT, 
is instead included as part of the multiparton-interactions framework, 
specifically in SoftQCD:nonDiffractive above. 

            Warning 1: you must remember to set the 
PhaseSpace:pTHatMin value if you use any of these 
processes; there is no sensible default. 

            Warning 2: you must not mix processes from the 
SoftQCD and HardQCD process groups, since 
this is likely to lead to double-counting. 
   


            HardQCD:all  On
Off
   (default = off)
            
Common switch for the group of all hard QCD processes, 
as listed separately in the following. 
   
 


            HardQCD:gg2gg  On
Off
   (default = off)
            
Scatterings g g → g g. 
Code 111. 
   
 


            HardQCD:gg2qqbar  On
Off
   (default = off)
            
Scatterings g g → q qbar, where q by default 
is a light quark (u, d, s) (see below). 
Code 112. 
   
 


            HardQCD:qg2qg  On
Off
   (default = off)
            
Scatterings q g → q g and qbar g → qbar g. 
Code 113. 
   
 


            HardQCD:qq2qq  On
Off
   (default = off)
            
Scatterings q q' → q q', q qbar' → q qbar', 
qbar qbar' → qbar qbar', where q' and q 
may agree, but the outgoing flavours equals the incoming ones 
Code 114. 
   
 


            HardQCD:qqbar2gg  On
Off
   (default = off)
            
Scatterings q qbar → g g. 
Code 115. 
   
 


            HardQCD:qqbar2qqbarNew  On
Off
   (default = off)
            
Scatterings q qbar → q' qbar', where q' 
by default is a light quark (u, d, s) (see below). 
Code 116. 
   
 


            HardQCD:nQuarkNew       (default = 3; minimum = 0; maximum = 5)
            
Number of allowed outgoing new quark flavours in the above 
g g → q qbar and q qbar → q' qbar' processes, 
where quarks are treated as massless in the matrix-element expressions 
(but correctly in the phase space). It is thus assumed that c cbar 
and b bbar are added separately with masses taken into account, 
using the processes below. A change to 4 would also include c cbar 
in the massless approximation, etc. In order to avoid double-counting 
the processes below should then not be used simultaneously. 
   
 

            Hard QCD processes: heavy-flavour subset
             
 
These processes form a natural part of the above class, but can 
also be generated separately. Formally the heavy-quark mass makes 
these matrix elements finite in the pT → 0 limit, but at 
high energies one may still question the validity of the expressions 
at low pT values, like for the other hard-QCD processes. 
Also as above, an eikonalized description, intended to be valid at all 
pT, is included as part of the multiparton-interactions framework. 

            Note that the processes below only represent the "tip of the iceberg" 
of charm and bottom production at high energies, where flavour excitation 
and shower branchings provide major additional sources. All these sources 
come together in the descriptions offered by 
SoftQCD:nonDiffractive and HardQCD:all. 
 


            HardQCD:gg2ccbar  On
Off
   (default = off)
            
Scatterings g g → c cbar. 
Code 121. 
   
 


            HardQCD:qqbar2ccbar  On
Off
   (default = off)
            
Scatterings q qbar → c cbar. 
Code 122. 
   
 


            HardQCD:hardccbar  On
Off
   (default = off)
            
Sum of the previous two event types. 
Codes 121 and 122. 
   
 


            HardQCD:gg2bbbar  On
Off
   (default = off)
            
Scatterings g g → b bbar. 
Code 123. 
   
 


            HardQCD:qqbar2bbbar  On
Off
   (default = off)
            
Scatterings q qbar → b bbar. 
Code 124. 
   
 


            HardQCD:hardbbbar  On
Off
   (default = off)
            
Sum of the previous two event types. 
Codes 123 and 124. 
   
 

            Hard QCD three-parton processes
             
 
Three-parton final states are generated by showers off two-parton 
processes. Topologies then cannot be specified beforehand, beyond 
what is provided by the two-parton hard process. For some checks 
it may be convenient to have access to the dedicated three-parton 
final states, which is what this set of processes allows. 
Cross sections have been taken from [Ber81]. 

            Note that the processes in this section are  not 
affected by the HardQCD:all switch. In fact, it would 
be double-counting to include both the HardQCD:all and 
the HardQCD:3parton processes in a run or study. 

            Warning: this section is still incomplete, e.g. the 
selection of colour flow is very simple, and so it should only 
be used with caution. 
   


            HardQCD:3parton  On
Off
   (default = off)
            
Common switch for the group of all hard QCD processes with three 
partons in the final state, as listed separately in the following. 
   
 


            HardQCD:gg2ggg  On
Off
   (default = off)
            
Scatterings g g → g g g. 
Code 131. 
   
 


            HardQCD:qqbar2ggg  On
Off
   (default = off)
            
Scatterings q qbar → g g g. 
Code 132. 
   
 


            HardQCD:qg2qgg  On
Off
   (default = off)
            
Scatterings q g → q g g and qbar g → qbar g g. 
Code 133. 
   
 


            HardQCD:qq2qqgDiff  On
Off
   (default = off)
            
Scatterings q q' → q q' g, q qbar' → q qbar' g, 
and qbar qbar' → qbar qbar' g. 
Code 134. 
   
 


            HardQCD:qq2qqgSame  On
Off
   (default = off)
            
Scatterings q q → q q g and 
qbar qbar → qbar qbar g 
(q qbar → q qbar g scatterings are considered separately 
below, see HardQCD:qqbar2qqbargSame). 
Code 135. 
   
 


            HardQCD:qqbar2qqbargDiff  On
Off
   (default = off)
            
Scatterings q qbar → q' qbar' g, where q' 
by default is a light quark (u, d, s) 
(see HardQCD:nQuarkNew above). 
Code 136. 
   
 


            HardQCD:qqbar2qqbargSame  On
Off
   (default = off)
            
Scatterings q qbar → q qbar g. 
Code 137. 
   
 


            HardQCD:gg2qqbarg  On
Off
   (default = off)
            
Scatterings g g → q qbar g, where q by 
default is a light quark (u, d, s) 
(see HardQCD:nQuarkNew above). 
Code 138. 
   
 


            HardQCD:qg2qqqbarDiff  On
Off
   (default = off)
            
Scatterings q g → q q' qbar' and 
qbar g → qbar qbar' q', where q' 
by default is a light quark (u, d, s) 
(see HardQCD:nQuarkNew above). 
Code 139. 
   
 


            HardQCD:qg2qqqbarSame  On
Off
   (default = off)
            
Scatterings q g → q q qbar and 
qbar g → qbar qbar q. 
Code 140. 
   
 
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/SpacelikeShowers.php0000644000175000017500000007570412357553536017633 0ustar  sunsun

Spacelike Showers






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Spacelike Showers
             
 
The PYTHIA algorithm for spacelike initial-state showers is 
based on the article [Sjo05], where a 
transverse-momentum-ordered backwards evolution scheme is introduced, 
with the extension to fully interleaved evolution covered in 
[Cor10a]. 
This algorithm is a further development of the virtuality-ordered one 
presented in [Sj085], with matching to first-order matrix 
element for Z^0, W^+- and Higgs (in the 
m_t → infinity limit) production as introduced in 
[Miu99]. 
 

             
The normal user is not expected to call SpaceShower 
directly, but only have it called from Pythia, 
via PartonLevel. Some of the parameters below, 
in particular SpaceShower:alphaSvalue, 
would be of interest for a tuning exercise, however. 
 

            Main variables
             
 
The maximum pT to be allowed in the shower evolution is 
related to the nature of the hard process itself. It involves a 
delicate balance between not double-counting and not leaving any 
gaps in the coverage. The best procedure may depend on information 
only the user has: how the events were generated and mixed (e.g. with 
Les Houches Accord external input), and how they are intended to be 
used. Therefore a few options are available, with a sensible default 
behaviour. 
 


            SpaceShower:pTmaxMatch      (default = 0; minimum = 0; maximum = 2)
            
Way in which the maximum shower evolution scale is set to match the 
scale of the hard process itself. 

            
0 : (i) if the final state of the hard process  (not counting subsequent resonance decays) contains at least one quark  (u, d, s, c ,b), gluon or photon then pT_max  is chosen to be the factorization scale for internal processes  and the scale value for Les Houches input;  (ii) if not, emissions are allowed to go all the way up to  the kinematical limit.  The reasoning is that in the former set of processes the ISR  emission of yet another quark, gluon or photon could lead to  double-counting, while no such danger exists in the latter case.  
            
1 : always use the factorization scale for an internal  process and the scale value for Les Houches input,  i.e. the lower value. This should avoid double-counting, but  may leave out some emissions that ought to have been simulated.  (Also known as wimpy showers.)  
            
2 : always allow emissions up to the kinematical limit.  This will simulate all possible event topologies, but may lead to  double-counting.  (Also known as power showers.)  
            

            Note 1: Some processes contain matrix-element matching 
to the first emission; this is the case notably for single 
gamma^*/Z^0, W^+- and H^0 production. Then default 
and option 2 give the correct result, while option 1 should never 
be used. 

            Note 2: as enumerated in the text, these options take effect 
both for internal and external processes. Whether a particular option 
makes sense depends on the context. For instance, if events for the same 
basic process to different orders are to be matched, then option 1 would 
be a reasonable first guess. Note, however, that a program like the 
POWHEG BOX uses a pT definition for ISR and FSR that does not 
quite agree with the PYTHIA evolution scale, and thus there will be some 
amount of mismatch. In more sophisticated descriptions, therefore, 
option 2 could be combined with UserHooks vetoes on emissions 
that would lead to double-counting, using more flexible phase space 
boundaries. Further details are found in the 
Matching and Merging description, 
with an example in examples/main31. 
Option 0, finally, may be most realistic when only Born-level 
processes are involved, possibly in combination with a nonzero 
SpaceShower:pTdampMatch. The rules used for avoiding 
double-counting are not foolproof, however. As an example, for the 
t-channel process gamma gamma → e^+ e^- its pT 
scale is the plausible upper shower limit, with only dampened emissions 
above it. But the initial state is not checked and, had only incoming 
quarks and gluons been taken into account, only the s-channel 
process q qbar → gamma^*/Z^0 → e^+ e^- would have 
been possible, where indeed the whole phase space should be populated. 
So this is erroneously used, giving too much emissions. 

            Note 3: These options only apply to the hard interaction. 
If a "second hard" process is present, the two are analyzed and 
set separately for the default 0 option, while both are affected 
the same way for non-default options 1 and 2. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of each process itself. 
 


            SpaceShower:pTmaxFudge      (default = 1.0; minimum = 0.25; maximum = 2.0)
            
In cases where the above pTmaxMatch rules would imply 
that pT_max = pT_factorization, pTmaxFudge 
introduces a multiplicative factor f such that instead 
pT_max = f * pT_factorization. Only applies to the hardest 
interaction in an event, and a "second hard" if there is such a one, 
cf. below. It is strongly suggested that f = 1, but variations 
around this default can be useful to test this assumption. 
   
 


            SpaceShower:pTmaxFudgeMPI      (default = 1.0; minimum = 0.25; maximum = 2.0)
            
A multiplicative factor f such that 
pT_max = f * pT_factorization, as above, but here for the 
non-hardest interactions (when multiparton interactions are allowed). 
   
 


            SpaceShower:pTdampMatch      (default = 0; minimum = 0; maximum = 2)
            
These options only take effect when a process is allowed to radiate up 
to the kinematical limit by the above pTmaxMatch choice, 
and no matrix-element corrections are available. Then, in many processes, 
the fall-off in pT will be too slow by one factor of pT^2. 
That is, while showers have an approximate dpT^2/pT^2 shape, often 
it should become more like dpT^2/pT^4 at pT values above 
the scale of the hard process. Whether this actually is the case 
depends on the particular process studied, e.g. if t-channel 
gluon exchange is likely to dominate. If so, the options below could 
provide a reasonable high-pT behaviour without requiring 
higher-order calculations. 

            
0 : emissions go up to the kinematical limit,  with no special dampening.  
            
1 : emissions go up to the kinematical limit,  but dampened by a factor k^2 Q^2_fac/(pT^2 + k^2 Q^2_fac),  where Q_fac is the factorization scale and k is a  multiplicative fudge factor stored in pTdampFudge below.  
            
2 : emissions go up to the kinematical limit,  but dampened by a factor k^2 Q^2_ren/(pT^2 + k^2 Q^2_ren),  where Q_ren is the renormalization scale and k is a  multiplicative fudge factor stored in pTdampFudge below.  
            

            Note: These options only apply to the hard interaction. 
Specifically, a "second hard" interaction would not be affected. 
Emissions off subsequent multiparton interactions are always constrained 
to be below the factorization scale of the process itself. 
 


            SpaceShower:pTdampFudge      (default = 1.0; minimum = 0.25; maximum = 4.0)
            
In cases 1 and 2 above, where a dampening is imposed at around the 
factorization or renormalization scale, respectively, this allows the 
pT scale of dampening of radiation by a half to be shifted 
by this factor relative to the default Q_fac or Q_ren. 
This number ought to be in the neighbourhood of unity, but variations 
away from this value could do better in some processes. 
   
 

             
The amount of QCD radiation in the shower is determined by 


            SpaceShower:alphaSvalue      (default = 0.137; minimum = 0.06; maximum = 0.25)
            
The alpha_strong value at scale M_Z^2. 
Default value is picked equal to the one used in CTEQ 5L. 
   
 

             
The actual value is then regulated by the running to the scale 
pT^2, at which it is evaluated 


            SpaceShower:alphaSorder      (default = 1; minimum = 0; maximum = 2)
            
Order at which alpha_strong runs, 

            
0 : zeroth order, i.e. alpha_strong is kept  fixed.
            
1 : zeroth order, i.e. alpha_strong is kept  fixed.
            
2 : second order. Since other parts of the code do  not go to second order there is no strong reason to use this option,  but there is also nothing wrong with it.
            
 

             
The CMW rescaling of Lambda_QCD (see the section on 
";?>StandardModelParameters) 
can be applied to the alpha_strong values used for spacelike showers. 
Note that tunes using this option need lower values of 
alpha_strong(m_Z^2) than tunes that do not. 


            SpaceShower:alphaSuseCMW  On
Off
   (default = false)
            

            option  false : Do not apply the CMW rescaling.    

            option  true : Apply the CMW rescaling, increasing 
Lambda_QCD for spacelike showers by a factor roughly 1.6. 
   
   
 

             
QED radiation is regulated by the alpha_electromagnetic 
value at the pT^2 scale of a branching. 
  


            SpaceShower:alphaEMorder      (default = 1; minimum = -1; maximum = 1)
            
The running of alpha_em. 

            
1 : first-order running, constrained to agree with  StandardModel:alphaEMmZ at the Z^0 mass.  
            
0 : zeroth order, i.e. alpha_em is kept  fixed at its value at vanishing momentum transfer.
            
-1 : zeroth order, i.e. alpha_em is kept  fixed, but at StandardModel:alphaEMmZ, i.e. its value  at the Z^0 mass.  
            
 

             
The natural scale for couplings and PDFs is pT^2. To explore 
uncertainties it is possibly to vary around this value, however, in 
analogy with what can be done for 
";?>hard processes. 
 


            SpaceShower:renormMultFac      (default = 1.; minimum = 0.1; maximum = 10.)
            
The default pT^2 renormalization scale is multiplied by 
this prefactor. For QCD this is equivalent to a change of 
Lambda^2 in the opposite direction, i.e. to a change of 
alpha_strong(M_Z^2) (except that flavour thresholds 
remain at fixed scales). Below, when pT^2 + pT_0^2 is used 
as scale, it is this whole expression that is multiplied by the prefactor. 
   
 


            SpaceShower:factorMultFac      (default = 1.; minimum = 0.1; maximum = 10.)
            
The default pT^2 factorization scale is multiplied by 
this prefactor. 
   
 

             
There are two complementary ways of regularizing the small-pT 
divergence, a sharp cutoff and a smooth dampening. These can be 
combined as desired but it makes sense to coordinate with how the 
same issue is handled in multiparton interactions. 
 


            SpaceShower:samePTasMPI  On
Off
   (default = off)
            
Regularize the pT → 0 divergence using the same sharp cutoff 
and smooth dampening parameters as used to describe multiparton interactions. 
That is, the MultipartonInteractions:pT0Ref, 
MultipartonInteractions:ecmRef, 
MultipartonInteractions:ecmPow and 
MultipartonInteractions:pTmin parameters are used to regularize 
all ISR QCD radiation, rather than the corresponding parameters below. 
This is a sensible physics ansatz, based on the assumption that colour 
screening effects influence both MPI and ISR in the same way. Photon 
radiation is regularized separately in either case. 

            Warning: if a large pT0 is picked for multiparton 
interactions, such that the integrated interaction cross section is 
below the nondiffractive inelastic one, this pT0 will 
automatically be scaled down to cope. Information on such a rescaling 
does NOT propagate to SpaceShower, however. 
   
 

             
The actual pT0 parameter used at a given CM energy scale, 
ecmNow, is obtained as 

             
    pT0 = pT0(ecmNow) = pT0Ref * (ecmNow / ecmRef)^ecmPow 

             
where pT0Ref, ecmRef and ecmPow are the 
three parameters below. 
 


            SpaceShower:pT0Ref      (default = 2.0; minimum = 0.5; maximum = 10.0)
            
Regularization of the divergence of the QCD emission probability for 
pT → 0 is obtained by a factor pT^2 / (pT0^2 + pT^2), 
and by using an alpha_s(pT0^2 + pT^2). An energy dependence 
of the pT0 choice is introduced by the next two parameters, 
so that pT0Ref is the pT0 value for the reference 
cm energy, pT0Ref = pT0(ecmRef). 
   
 


            SpaceShower:ecmRef      (default = 1800.0; minimum = 1.)
            
The ecmRef reference energy scale introduced above. 
   
 


            SpaceShower:ecmPow      (default = 0.0; minimum = 0.; maximum = 0.5)
            
The ecmPow energy rescaling pace introduced above. 
   
 


            SpaceShower:pTmin      (default = 0.2; minimum = 0.1; maximum = 10.0)
            
Lower cutoff in pT, below which no further ISR branchings 
are allowed. Normally the pT0 above would be used to 
provide the main regularization of the branching rate for 
pT → 0, in which case pTmin is used  mainly for 
technical reasons. It is possible, however, to set pT0Ref = 0 
and use pTmin to provide a step-function regularization, 
or to combine them in intermediate approaches. Currently pTmin 
is taken to be energy-independent. 
   
 


            SpaceShower:pTminChgQ      (default = 0.5; minimum = 0.01)
            
Parton shower cut-off pT for photon coupling to a coloured 
particle. 
   
 


            SpaceShower:pTminChgL      (default = 0.0005; minimum = 0.0001)
            
Parton shower cut-off mass for pure QED branchings. 
Assumed smaller than (or equal to) pTminChgQ. 
   
 


            SpaceShower:rapidityOrder  On
Off
   (default = off)
            
Force emissions, after the first,  to be ordered in rapidity, 
i.e. in terms of decreasing angles in a backwards-evolution sense. 
Could be used to probe sensitivity to unordered emissions. 
Only affects QCD emissions. 
   
  

            Weak showers
             
 
The emission of weak gauge bosons is an integrated part of the initial- 
and final-state radiation, see ";?>Weak Showers. 
The following settings are those specifically related to the initial-state 
weak radiation, while common settings are found in the 
";?>Weak Showers description. 
 


            SpaceShower:weakShower  On
Off
   (default = off)
            
Allow a weak shower, yes or no. 
   
 


            SpaceShower:weakShowerMode       (default = 0; minimum = 0; maximum = 2)
            
Determine which branchings are allowed. 

            option  0 :  both W^+- and Z^0 branchings. 
   

            option  1 :  only W^+- branchings.    

            option  2 :  only Z^0 branchings.    
   
 


                  (default = 1.0; minimum = 0.1; maximum = 2.0)
            
Parton shower cut-off pT for weak branchings. 
 

            Further variables
             
 
These should normally not be touched. Their only function is for 
cross-checks. 
 

             
There are three flags you can use to switch on or off selected 
branchings in the shower: 
 


            SpaceShower:QCDshower  On
Off
   (default = on)
            
Allow a QCD shower; on/off = true/false. 
   
 


            SpaceShower:QEDshowerByQ  On
Off
   (default = on)
            
Allow quarks to radiate photons; on/off = true/false. 
   
 


            SpaceShower:QEDshowerByL  On
Off
   (default = on)
            
Allow leptons to radiate photons; on/off = true/false. 
   
 

             
There are some further possibilities to modify the shower: 
 


            SpaceShower:MEcorrections  On
Off
   (default = on)
            
Use of matrix element corrections; on/off = true/false. 
   
 


            SpaceShower:MEafterFirst  On
Off
   (default = on)
            
Use of matrix element corrections also after the first emission, 
for dipole ends of the same system that did not yet radiate. 
Only has a meaning if MEcorrections above is 
switched on. 
   
 


            SpaceShower:phiPolAsym  On
Off
   (default = on)
            
Azimuthal asymmetry induced by gluon polarization; on/off = true/false. 
   
 


            SpaceShower:phiIntAsym  On
Off
   (default = on)
            
Azimuthal asymmetry induced by interference; on/off = true/false. 
   
 


            SpaceShower:strengthIntAsym      (default = 0.7; minimum = 0.; maximum = 0.9)
            
Size of asymmetry induced by interference. Natural value of order 0.5; 
expression would blow up for a value of 1. 
   
 


            SpaceShower:nQuarkIn       (default = 5; minimum = 0; maximum = 5)
            
Number of allowed quark flavours in g → q qbar branchings, 
when kinematically allowed, and thereby also in incoming beams. 
Changing it to 4 would forbid g → b bbar, etc. 
   
 


            SpaceShower:useFixedFacScale  On
Off
   (default = off)
            
Allow the possibility to use a fixed factorization scale, set by 
the parm below. This option is unphysical and only 
intended for toy-model and debug studies. 
   
 


            SpaceShower:fixedFacScale      (default = 100.; minimum = 1.)
            
The fixed factorization scale, in GeV, that would be used in the 
evaluation of parton densities if the flag above is on. 
   
 

            Technical notes
             
 
Almost everything is equivalent to the algorithm in [1]. Minor changes 
are as follows. 

               

            •  
It is now possible to have a second-order running alpha_s, 
in addition to fixed or first-order running. 

              •  

            •  
The description of heavy flavour production in the threshold region 
has been modified, so as to be more forgiving about mismatches 
between the c/b  masses used in Pythia relative to those 
used in a respective PDF parametrization. The basic idea is that, 
in the threshold region of a heavy quark Q, Q = c/b, 
the effect of subsequent Q → Q g branchings is negligible. 
If so, then 

               
   f_Q(x, pT2) = integral_mQ2^pT2  dpT'2/pT'2 * alpha_s(pT'2)/2pi 
      * integral P(z) g(x', pT'2) delta(x - z x') 

               
so use this to select the pT2 of the g → Q Qbar 
branching. In the old formalism the same kind of behaviour should 
be obtained, but by a cancellation of a 1/f_Q that diverges 
at the threshold and a Sudakov that vanishes. 

               
The strategy therefore is that, once pT2 < f * mQ2, with 
f a parameter of the order of 2, a pT2 is chosen 
like dpT2/pT2 between mQ2 and f * mQ2, a 
nd a z flat in the allowed range. Thereafter acceptance 
is based on the product of three factors, representing the running 
of alpha_strong, the splitting kernel (including the mass term) 
and the gluon density weight. At failure, a new pT2 is chosen 
in the same  range, i.e. is not required to be lower since no Sudakov 
is involved. 

              •  

            •  
The QED algorithm now allows for hadron beams with non-zero photon 
content. The backwards-evolution of a photon in a hadron is identical 
to that of a gluon, with CF → eq^2 and CA → 0. 
Note that this will only work in conjunction with parton distributions 
that explicitly include photons as part of the hadron structure, such 
as the NNPDF2.3 QCD+QED sets. The possibility of a fermion 
backwards-evolving to a photon has not yet been included, nor has 
photon backwards-evolution in lepton beams. 

              •  

             
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/FlavourSelection.php0000644000175000017500000006676512357553536017653 0ustar  sunsun

Flavour Selection






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Flavour Selection
             
 
The StringFlav class handles the choice of a new flavour 
in the fragmentation process, and the production of a new hadron 
from a set of input flavours. It is mainly used by the string 
fragmentation machinery (including ministrings), but also e.g. 
in some particle decays and for some beam-remnant cases. The basic 
concepts are in agreement with [And83]. The baryon-sector 
implementation is based on the MSTJ(12)=3 option of 
PYTHIA 6, i.e. new SU(6) weights scheme with at most one popcorn meson. 
 

             
The relative production rates of different particle species is 
influenced by the parameters below. Some have only an impact on 
one specific quantity, but most directly or indirectly have 
consequences for many observables. Therefore the values to use have 
to be viewed in the context of a complete ";?>tune. 
 

            New flavours
             
 
The main parameters of the selection of a new flavour are 
 


            StringFlav:probStoUD      (default = 0.19; minimum = 0.0; maximum = 1.0)
            
the suppression of s quark production relative to ordinary 
u or d one. 
   
 


            StringFlav:probQQtoQ      (default = 0.09; minimum = 0.0; maximum = 1.0)
            
the suppression of diquark production relative to quark production, 
i.e. of baryon relative to meson production. 
   
 


            StringFlav:probSQtoQQ      (default = 1.00; minimum = 0.0; maximum = 1.0)
            
the suppression of strange diquark production relative to light 
diquark production, over and above the one already given by 
probStoU. 
   
  


            StringFlav:probQQ1toQQ0      (default = 0.027; minimum = 0.0; maximum = 1.0)
            
the suppression of spin 1 diquark production relative to spin 0 one, 
apart from the factor of 3 enhancement of spin 1 from counting the 
number of states. 
   



            StringFlav:probQQ1toQQ0join      (default = 0.5,0.7,0.9,1.0; minimum = 0.0; maximum = 1.0)
            
when two already produced quarks are to be combined to a diquark,
e.g. in the junction framework, these numbers give the suppression 
of spin 1 diquark production relative to spin 0 one, apart from the 
factor of 3 enhancement of spin 1 from counting the number of states.
The four components give the suppression when the heaviest quark is
u/d, s, c or b, respectively.
These parameters are seldom used and currently not constrained by any 
data, so very much a guesswork.
   
 

            Standard-meson production
             
 
The bulk of the particle production corresponds to the lowest-lying 
pseudoscalar and vector multiplets. Their production rates are 
determined by the parameters in this section. 
 

             
For a given set of flavours, produced according to the probabilities 
outlined above, the ratio of vector-to-pseudocalar meson production 
is described by the parameters below. 
The maximum allowed rate for each case has been set according to 
spin-counting rules, but we expect the real rates to be lower, 
especially for lighter mesons, owing to the vector-pseudoscalar 
mass splitting. 
 


            StringFlav:mesonUDvector      (default = 0.62; minimum = 0.; maximum = 3.)
            
the relative production ratio vector/pseudoscalar for light 
(u, d) mesons. 
   


            StringFlav:mesonSvector      (default = 0.725; minimum = 0.; maximum = 3.)
            
the relative production ratio vector/pseudoscalar for strange mesons. 
   


            StringFlav:mesonCvector      (default = 1.06; minimum = 0.; maximum = 3.)
            
the relative production ratio vector/pseudoscalar for charm mesons. 
   


            StringFlav:mesonBvector      (default = 3.0; minimum = 0.; maximum = 3.)
            
the relative production ratio vector/pseudoscalar for bottom mesons. 
   
 

             
Inside each light-quark meson nonet, an octet-singlet mixing angle 
describes the mixing of the two flavour-diagonal isoscalar = 0 states. 
(For terminology and details see [Yao06], chapter 14 on the 
quark model.) 
This angle is needed to specify the probability for such a q qbar 
state to project onto a specific meson. More transparent formulae are 
obtained by introducing the angle alpha = theta + 54.7 degrees: 

             
   f  = (uubar + ddbar)/sqrt(2) * sin(alpha) + ssbar * cos(alpha)
             
   f' = (uubar + ddbar)/sqrt(2) * cos(alpha) - ssbar * sin(alpha) 

             
 


            StringFlav:thetaPS      (default = -15.; minimum = -90.; maximum = 90.)
            
gives the mixing angle theta_PS in the pseudoscalar meson sector 
(which is rather poorly determined), expressed in degrees. 
Here f is associated with eta' and f' with 
eta. (This standard but counterintuitive choice is fixed up 
in the code by replacing alpha → 90^0 - alpha so that 
eta ↔ eta'; relative signs do not matter since we are 
interested in probabilities only.) 
   
 


            StringFlav:thetaV      (default = 36.; minimum = -90.; maximum = 90.)
            
gives the mixing angle theta_V in the vector meson sector 
(which is somewhat better determined), expressed in degrees. 
Here f is associated with omega and f' 
with phi. 
   
 

             
Further, the simple model overestimates the production of eta 
and, in particular, eta' mesons, which can be rectified by 
 


            StringFlav:etaSup      (default = 0.63; minimum = 0.; maximum = 1.)
            
the additional suppression of eta production, multiplying the 
normal production probability. Thus 0 means no eta at all 
are produced, while 1 means full rate. 
   
 


            StringFlav:etaPrimeSup      (default = 0.12; minimum = 0.; maximum = 1.)
            
the additional suppression of eta' production, multiplying the 
normal production probability. Thus 0 means no eta' at all 
are produced, while 1 means full rate. 
   
 

            Excited-meson production
             
 
Several excited mesons, ie. with radial or orbital excitations, have been 
observed at non-negligible production rates. Extrapolated to all states 
a fair fraction of all particle production might proceed through such 
states. There are big uncertainties, however, since these excited 
mesons in many cases are extremely poorly known. This also means that 
the modeling of their production and decay is very primitive, and 
even that the inclusion of the production of such states may lead to a 
degraded agreement with data. Currently the default is that all such 
production is switched off. 
 

             
Parameters are provided to switch them on. By demand, this machinery 
has been made more flexible than in the past. Therefore one parameter is 
provided for each combination of heaviest flavour 
(u/d, s, c or b) and 
multiplet produced. In each case the production rate is normalized to 
that of the lowest-lying pseudoscalar of the same flavour content, as for 
the vector-meson rates introduced above. The multiplets available are the 
four obtained for one unit of orbital angular momentum, in the 
nonrelativistic classification. Using J to denote the sum of 
quark spin S and orbital angular momentum L, i.e. what 
would normally be called the spin of the meson, one has: 

               

            • a pseudovector multiplet with L=1, S=0, J=1;
              •  

            • a scalar multiplet with L=1, S=1, J=0;
              •  

            • a pseudovector multiplet with L=1, S=1, J=1;
              •  

            • a tensor multiplet with L=1, S=1, J=2.
              •  

             
 
The maximum allowed rate for each case has been set according to 
spin-counting rules, but we expect the real rates to be significantly 
lower, owing to mass suppression. 
 


            StringFlav:mesonUDL1S0J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for light (u, d) mesons. 
   
 


            StringFlav:mesonUDL1S1J0      (default = 0.0; minimum = 0.; maximum = 1.)
            
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for light (u, d) mesons. 
   
 


            StringFlav:mesonUDL1S1J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for light (u, d) mesons. 
   
 


            StringFlav:mesonUDL1S1J2      (default = 0.0; minimum = 0.; maximum = 5.)
            
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for light (u, d) mesons. 
   
 


            StringFlav:mesonSL1S0J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for strange mesons. 
   
 


            StringFlav:mesonSL1S1J0      (default = 0.0; minimum = 0.; maximum = 1.)
            
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for strange mesons. 
   
 


            StringFlav:mesonSL1S1J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for strange mesons. 
   
 


            StringFlav:mesonSL1S1J2      (default = 0.0; minimum = 0.; maximum = 5.)
            
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for strange mesons. 
   
 


            StringFlav:mesonCL1S0J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for charm mesons. 
   
 


            StringFlav:mesonCL1S1J0      (default = 0.0; minimum = 0.; maximum = 1.)
            
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for charm mesons. 
   
 


            StringFlav:mesonCL1S1J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for charm mesons. 
   
 


            StringFlav:mesonCL1S1J2      (default = 0.0; minimum = 0.; maximum = 5.)
            
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for charm mesons. 
   
 


            StringFlav:mesonBL1S0J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=0,J=1)/pseudoscalar 
for bottom mesons. 
   
 


            StringFlav:mesonBL1S1J0      (default = 0.0; minimum = 0.; maximum = 1.)
            
the relative scalar production ratio 
(L=1,S=1,J=0)/pseudoscalar 
for bottom mesons. 
   
 


            StringFlav:mesonBL1S1J1      (default = 0.0; minimum = 0.; maximum = 3.)
            
the relative pseudovector production ratio 
(L=1,S=1,J=1)/pseudoscalar 
for bottom mesons. 
   
 


            StringFlav:mesonBL1S1J2      (default = 0.0; minimum = 0.; maximum = 5.)
            
the relative tensor production ratio 
(L=1,S=1,J=2)/pseudoscalar 
for bottom mesons. 
   
 

             
In addition, an octet-singlet mixing angle is needed for each multiplet, 
as for the pseudoscalar and vector multiplets above. Only for the 
tensor multiplet does any determination exist; for the other multiplets 
default has been chose so that ssbar does not mix with the light 
quarks, and so that the ssbar state is the heavier of the two. 
 


            StringFlav:thetaL1S0J1      (default = 35.3; minimum = -90.; maximum = 90.)
            
gives the mixing angle theta in the (L=1,S=0,J=1) 
pseudovector meson sector, expressed in degrees. 
   
 


            StringFlav:thetaL1S1J0      (default = 35.3; minimum = -90.; maximum = 90.)
            
gives the mixing angle theta in the (L=1,S=1,J=0) 
scalar meson sector, expressed in degrees. 
   
 


            StringFlav:thetaL1S1J1      (default = 35.3; minimum = -90.; maximum = 90.)
            
gives the mixing angle theta in the (L=1,S=1,J=1) 
pseudovector meson sector, expressed in degrees. 
   
 


            StringFlav:thetaL1S1J2      (default = 28.0; minimum = -90.; maximum = 90.)
            
gives the mixing angle theta in the (L=1,S=1,J=2) 
tensor meson sector, expressed in degrees. 
   
 

            Baryon production
             
 
The relative rate of baryon production is mainly given by the quark 
and diquark production parameters above, plus SU(6) Clebsch-Gordans. 
The one modifiable parameter related to these coefficients is 
 


            StringFlav:decupletSup      (default = 1.0; minimum = 0.0; maximum = 1.0)
            
the suppression, relative to default SU(6) factors, of decuplet 
baryon production. Default corresponds to no suppression, while 0 
corresponds to no decuplet production at all. 
   
 

             
In addition, if popcorn production is allowed, wherein a set of mesons 
(M) may be produced in between the baryon (B) and 
the antibaryon (Bbar), a set of further parameters is introduced. 
Currently only the simplest scenario is implemented, wherein at most 
one intermediate meson may be produced. 
 


            StringFlav:popcornRate      (default = 0.5; minimum = 0.; maximum = 2.0)
            
gives the relative rates of B Bbar and B M Bbar 
production, roughly as 

             
Prob(B M Bbar) / (Prob(B Bbar) + Prob(B M Bbar)) = 
popcornRate / (0.5 + popcornRate) 

             
(the complete expression depends on all the quark and diquark production 
parameters and is therefore not so useful). 
   
 


            StringFlav:popcornSpair      (default = 0.5; minimum = 0.; maximum = 1.0)
            
extra suppression for having an s sbar pair shared between 
the B and Bbar in a B M Bbar configuration. 
   
 


            StringFlav:popcornSmeson      (default = 0.5; minimum = 0.; maximum = 1.0)
            
extra suppression for having a strange meson M in a 
B M Bbar configuration. 
   
 

             
Finally, there are some indications that leading-baryon production 
may be further suppressed. A proper description should probably be 
based on a suppression of early production times [Ede97], 
but we here only implement a simpler version where production near 
the end of a string, as defined by rank, is suppressed. The more 
detailed studies suggest that leading c and b baryon 
production will be less suppressed, so we leave it open to set 
light- and heavy-baryon suppression separately. 
 


            StringFlav:suppressLeadingB  On
Off
   (default = off)
            
Suppress leading-baryon production. 

            option  off : No suppression.   

            option  on : Suppress the production of a diquark in the string 
breaking closest to a quark end of a string, by either of the factors 
below. This suppresses the production of first-rank baryons by the same 
amount. Indirectly also the second-rank and, if popcorn production is 
switched on, third-rank (anti)baryon production is affected.    
   
  


            StringFlav:lightLeadingBSup      (default = 0.5; minimum = 0.; maximum = 1.0)
            
extra suppression of leading-baryon production for a light-quark 
jet, i.e. d, u or s, when 
suppressLeadingB = on. Thus 0 means no leading-baryon 
production at all, while 1 means full rate. 
   
  


            StringFlav:heavyLeadingBSup      (default = 0.9; minimum = 0.; maximum = 1.0)
            
extra suppression of leading-baryon production for a heavy-quark 
jet, i.e. c or b, when 
suppressLeadingB = on. Thus 0 means no leading-baryon 
production at all, while 1 means full rate. 
   
   


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/TotalCrossSections.php0000644000175000017500000003754112357553536020162 0ustar  sunsun

Total Cross Sections






SETTINGS SAVED TO FILE

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            Total Cross Sections
             
 
The SigmaTotal class returns the total, elastic, diffractive 
and nondiffractive cross sections in hadronic collisions, and also the 
slopes of the d(sigma)/dt distributions. Most of the parametrizations 
used are from [Sch94, Sch97] which borrows some of the total cross 
sections from [Don92]. If you use the MBR (Minimum Bias Rockefeller) 
model [Cie12], Diffraction:PomFlux = 5, this model 
contains its own parametrizations of all cross sections in p p 
and pbar p collisions. 
 

             
There are strong indications that the currently implemented diffractive 
cross section parametrizations, which should be in reasonable agreement 
with data at lower energies, overestimate the diffractive rate at larger 
values. If you wish to explore this (or other) aspect, it is possible to 
override the cross section values in two different ways. The first offers 
(almost) complete freedom, but needs to be defined separately for each 
CM energy, while the second introduces a simpler parametrized damping. 
The two cannot be combined. Furthermore the Coulomb term for elastic 
scattering, which by default is off, can be switched on. 
 

             
The allowed combinations of incoming particles are p + p, 
pbar + p, pi+ + p, pi- + p, 
pi0/rho0 + p, phi + p, J/psi + p, 
rho + rho, rho + phi, rho + J/psi, 
phi + phi, phi + J/psi, J/psi + J/psi. 
The strong emphasis on vector mesons is related to the description 
of gamma + p and gamma + gamma interactions in a 
Vector Dominance Model framework (which will not be available for some 
time to come, so this is a bit of overkill). Nevertheless, the sections 
below, with allowed variations, are mainly intended to make sense for 
p + p. 
 

            Central diffraction
             
 
Central diffraction (CD), a.k.a. double Pomeron exchange (DPE), was not 
part of the framework in [Sch94]. It has now been added for 
multiparticle states, i.e. excluding the resonance region below 1 GeV 
mass, as well as other exclusive states, but only for p p or 
pbar p. It uses the same proton-Pomeron vertex as in single 
diffraction, twice, to describe x_Pomeron and t spectra. 
This fixes the energy dependence, which has been integrated and 
parametrized. The absolute normalization has been left open, however. 
Furthermore, since CD has not been included in previous tunes to data, 
a special flag is available to reproduce the old behaviour (with due 
complications when one does not want to do this). 
 


            SigmaTotal:sigmaAXB2TeV      (default = 1.5; minimum = 0.)
            
The CD cross section for p p and pbar p collisions, 
normalized to its value at 2 TeV CM energy, expressed in mb. The energy 
dependence is then parametrized, and behaves roughly like 
ln^1.5(s). Is used for the options 
Diffraction:PomFlux = 1 - 4, while the MBR model 
(= 5) has its own parametrization. 
   
 


            SigmaTotal:zeroAXB  On
Off
   (default = off)
            
several existing ";?>tunes do not include CD. 
An inclusion of a nonvanishing CD cross section directly affects 
the nondiffractive phenomenology (even if not dramatically), and so 
this flag is used to switch off the CD cross section in such tunes. 
You can switch it back on after the selection of a tune, if you 
so wish. This option has no effect for the MBR model 
(Diffraction:PomFlux = 5), where the CD cross section 
has been included from the onset. 
   
 

            Set cross sections
             
 


            SigmaTotal:setOwn  On
Off
   (default = off)
            
Allow a user to set own cross sections by hand; on/off = true/false. 
   
 

             
When SigmaTotal:setOwn = on, the user is expected to set 
values for the corresponding cross sections: 
 


            SigmaTotal:sigmaTot      (default = 80.; minimum = 0.)
            
Total cross section in mb. 
   
 


            SigmaTotal:sigmaEl      (default = 20.; minimum = 0.)
            
Elastic cross section in mb. 
   
 


            SigmaTotal:sigmaXB      (default = 8.; minimum = 0.)
            
Single Diffractive cross section A + B → X + B in mb. 
   
 


            SigmaTotal:sigmaAX      (default = 8.; minimum = 0.)
            
Single Diffractive cross section A + B → A + X in mb. 
   
 


            SigmaTotal:sigmaXX      (default = 4.; minimum = 0.)
            
Double Diffractive cross section A + B → X_1 + X_2 in mb. 
   
 


            SigmaTotal:sigmaAXB      (default = 1.; minimum = 0.)
            
Central Diffractive cross section A + B → A + X + B in mb. 
   
 

             
Note that the total cross section subtracted by the elastic and various 
diffractive ones gives the inelastic nondiffractive cross section, 
which therefore is not set separately. If this cross section evaluates 
to be negative the internal parametrizations are used instead of the 
ones here. However, since the nondiffractive inelastic cross section 
is what makes up the minimum-bias event class, and plays a major role 
in the description of multiparton interactions, it is important that a 
consistent set is used. 
 

            Dampen diffractive cross sections
             
 
As already noted, unitarization effects may dampen the rise of diffractive 
cross sections relative to the default parametrizations. The settings 
here allows one way to introduce a dampening, which is used in some 
of the existing ";?>tunes. 
 


            SigmaDiffractive:dampen  On
Off
   (default = no)
            
Allow a user to dampen diffractive cross sections; on/off = true/false. 
   
 

             
When SigmaDiffractive:dampen = on, the three diffractive 
cross sections are damped so that they never can exceed the respective 
values below. Specifically, if the standard parametrization gives 
the cross section sigma_old(s) and a fixed sigma_max 
is set, the actual cross section becomes sigma_new(s) 
= sigma_old(s) * sigma_max / (sigma_old(s) + sigma_max). 
This reduces to sigma_old(s) at low energies and to 
sigma_max at high ones. Note that the asymptotic value 
is approached quite slowly, however. 
 


            SigmaDiffractive:maxXB      (default = 15.; minimum = 0.)
            
The above sigma_max for A + B → X + B in mb. 
   
 


            SigmaDiffractive:maxAX      (default = 15.; minimum = 0.)
            
The above sigma_max for A + B → A + X in mb. 
   
 


            SigmaDiffractive:maxXX      (default = 15.; minimum = 0.)
            
The above sigma_max for A + B → X_1 + X_2 in mb. 
   
 


            SigmaDiffractive:maxAXB      (default = 3.; minimum = 0.)
            
The above sigma_max for A + B → A + X + B in mb. 
   
 

             
As above, a reduced diffractive cross section automatically translates 
into an increased nondiffractive one, such that the total (and elastic) 
cross section remains fixed. 
 
  

            Set elastic cross section
             
 

             
In the above option the t slopes are based on the internal 
parametrizations. In addition there is no Coulomb-term contribution 
to the elastic (or total) cross section, which of course becomes 
infinite if this contribution is included. If you have switched on 
SigmaTotal:setOwn you can further switch on a machinery 
to include the Coulomb term, including interference with the conventional 
strong-interaction Pomeron one [Ber87]. Then the elastic cross 
section is no longer taken from SigmaTotal:sigmaEl but 
derived from the parameters below and SigmaTotal:sigmaTot, 
using the optical theorem. The machinery is only intended to be used for 
p p and pbar p collisions. The description of 
diffractive events, and especially their slopes, remains unchanged. 
 


            SigmaElastic:setOwn  On
Off
   (default = no)
            
Allow a user to set parameters for the normalization and shape of the 
elastic cross section the by hand; yes/no = true/false. 
   
 


            SigmaElastic:bSlope      (default = 18.; minimum = 0.)
            
the slope b of the strong-interaction term exp(bt), 
in units of GeV^-2. 
   
 


            SigmaElastic:rho      (default = 0.13; minimum = -1.; maximum = 1.)
            
the ratio of the real to the imaginary parts of the nuclear scattering 
amplitude. 
   
 


            SigmaElastic:lambda      (default = 0.71; minimum = 0.1; maximum = 2.)
            
the main parameter of the electric form factor 
G(t) = lambda^2 / (lambda + |t|)^2, in units of GeV^2. 
   
 


            SigmaElastic:tAbsMin      (default = 5e-5; minimum = 1e-10)
            
since the Coulomb contribution is infinite a lower limit on 
|t| must be set to regularize the divergence, 
in units of GeV^2. 
   
 


            SigmaElastic:phaseConst      (default = 0.577)
            
The Coulomb term is taken to contain a phase factor 
exp(+- i alpha phi(t)), with + for p p and - for 
pbar p, where phi(t) = - phaseConst - ln(-B t/2). 
This constant is model dependent [Cah82]. 
   
 


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pythia8-8.1.86.orig/phpdoc/MainProgramSettings.php0000644000175000017500000006567512357553536020323 0ustar  sunsun

Main-Program and Related Settings






SETTINGS SAVED TO FILE

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            Main-Program and Related Settings
             
 

            Introduction
             
 
The main program is up to the user to write. However, 
";?>sample main programs 
are provided. In one such class of programs, key settings of the run 
are read in from a "cards file". For experimental collaborations 
this is actually the most common way to run a program like PYTHIA. 
The commands in such a file may be of two types
             
(a) instructions directly to Pythia, like which 
processes to generate, and
             
(b) instructions to the main program for what it should do, 
like how many events to generate, and how many events should 
be listed.
             
In principle these two kinds could be kept completely separate. 
However, to make life simpler, a number of useful main-program 
settings are defined on this page, so that they are recognized by 
the Settings machinery. They can thus be put among 
the other cards without distinction. It is up to you to decide which 
ones, if any, you actually want to use when you write your main program. 
 

             
To further reduce the necessary amount of main-program code, some of 
the tasks that you can steer from your main program can also be done 
internally. This in particular relates to some information printing. 
To give an example, the Main:numberToList mode can be 
used by you in your main program to decide to list a few of the 
generated events, whereas Next:numberListEvent is used 
internally in a pythia.next() call to do such a listing 
automatically. Ultimately, in both cases, a 
pythia.event.list() call is the one that generates 
the listing, explicitly in the main program in the former case, 
implicitly called from pythia.next() in the latter. 
 

             
The settings names on this page thus fall into four main groups 

               

            • Init:... denote actions that automatically may be 
taken during the pythia.init() call.
              •  

            • Next:... denote actions that automatically may be 
taken during the pythia.next() call.
              •  

            • Stat:... denote actions that automatically may be 
taken during the pythia.stat() call.
              •  

            • Main:... denote actions that you yourself 
have the freedom to make use of in your main program.
              •  

             
The use of several of the Main:... options is deprecated 
in favour of the other possibilities. 
 

             
The Main:... options works like this. Once you have used 
the pythia.readFile(fileName) method to read in the cards 
file, where the values have been set, you can interrogate the 
Settings database to make the values available in your 
main program. A slight complication is that you need to use a different 
Settings method for each of the four possible return types 
that you want to extract. To save some typing the same method names are 
found directly in the Pythia class, and just send on to the 
Settings ones to do the job, e.g. 

             
  bool   showCS = pythia.flag("Main:showChangedSettings"); 
  int    nEvent = pythia.mode("Main:numberOfEvents"); 
  double spare1 = pythia.parm("Main:spareParm1"); 
  string file   = pythia.word("Main:allSettingsFile"); 

             
 

            Main-program settings
             
 
The settings in this section must be under the control of the 
user, i.e. there are no internal equivalents. 
 


            Main:numberOfEvents       (default = 1000; minimum = 0)
            
The number of events to be generated. 
   
 


            Main:timesAllowErrors       (default = 10)
            
Allow this many times that pythia.next() returns false, 
i.e. that an event is flawed, before aborting the run. 
   
 

            Initialization settings
             
 


            Init:showProcesses  On
Off
   (default = on)
            
Print a list of all processes that will be simulated, with 
their estimated cross section maxima, as used for the 
subsequent Monte Carlo selection. Also print corresponding 
Les Houches initialization data, where relevant. 
   
 


            Init:showMultipartonInteractions  On
Off
   (default = on)
            
Print initialization information for the multiparton interactions 
machinery. 
   
 


            Init:showChangedSettings  On
Off
   (default = on)
            
Print a list of the changed flag/mode/parameter/word settings. 
   
 


            Init:showAllSettings  On
Off
   (default = off)
            
Print a list of all flag/mode/parameter/word settings. 
Warning: this will be a long list. 
   
 


            Init:showChangedParticleData  On
Off
   (default = on)
            
Print a list of particle and decay data for those particles 
that were changed (one way or another). 
   
 


            Init:showChangedResonanceData  On
Off
   (default = off)
            
In the previous listing also include the resonances that are 
initialized at the beginning of a run and thus get new particle 
data, even if these may well agree with the default ones. 
Warning: this will be a rather long list. 
   
 


            Init:showAllParticleData  On
Off
   (default = off)
            
Print a list of all particle and decay data. 
Warning: this will be a long list. 
   
 


            Init:showOneParticleData       (default = 0; minimum = 0)
            
Print particle and decay data for the particle with this particular 
identity code. Default means that no particle is printed. 
   
 


            Main:showChangedSettings  On
Off
   (default = on)
            
Deprecated. Print a list of the changed flag/mode/parameter/word settings. 
   
 


            Main:showAllSettings  On
Off
   (default = off)
            
Deprecated. Print a list of all flag/mode/parameter/word settings. 
Warning: this will be a long list. 
   
 


            Main:showChangedParticleData  On
Off
   (default = off)
            
Deprecated. Print a list of particle and decay data for those particles 
that were changed (one way or another). 
   
 


            Main:showChangedResonanceData  On
Off
   (default = off)
            
Deprecated. In the previous listing also include the resonances that are 
initialized at the beginning of a run and thus get new particle 
data, even if these may well agree with the default ones. 
Warning: this will be a rather long list. 
   
 


            Main:showAllParticleData  On
Off
   (default = off)
            
Deprecated. Print a list of all particle and decay data. 
Warning: this will be a long list. 
   
 


            Main:showOneParticleData       (default = 0; minimum = 0)
            
Deprecated. Print particle and decay data for the particle with this 
particular identity code. Default means that no particle is printed. 
   
 


            Main:writeChangedSettings  On
Off
   (default = off)
            
Write a file with the changed flag/mode/parameter/word settings, in 
a format appropriate to be read in at the beginning of a new 
run, using the pythia.readFile(fileName) method. 
   
 


            Main:changedSettingsFile       (default = currentSettings.cmnd)
            
The name of the file to which the changed flag/mode/parameter/word 
settings are written if Main:writeChangedSettings 
is on. 
   
 


            Main:writeAllSettings  On
Off
   (default = off)
            
Write a file with all flag/mode/parameter/word settings, in 
a format appropriate to be read in at the beginning of a new 
run, using the pythia.readFile(fileName) method. 
   
 


            Main:allSettingsFile       (default = allSettings.cmnd)
            
The name of the file to which a flag/mode/parameter/word 
settings are written if Main:writeAllSettings 
is on. 
   
 

            Event-generation settings
             
 


            Next:numberCount       (default = 1000; minimum = 0)
            
Print a line telling how many events have been generated so far, 
once every numberCount events. If set zero then no 
lines are ever printed. 
 


            Next:numberShowLHA       (default = 1; minimum = 0)
            
The number of events to list the Les Houches input information for, 
where relevant. 
   
 


            Next:numberShowInfo       (default = 1; minimum = 0)
            
The number of events to list the Info information for, 
where relevant. 
   
 


            Next:numberShowProcess       (default = 1; minimum = 0)
            
The number of events to list the process record for, 
where relevant. 
   
 


            Next:numberShowEvent       (default = 1; minimum = 0)
            
The number of events to list the event record for, 
where relevant. 
   
 


            Next:showScaleAndVertex  On
Off
   (default = off)
            
In addition to the normal information in the listing of the 
process and event records, a second line 
per particle provides information on the production scale, 
particle polarization and production vertex. 
   
 


            Next:showMothersAndDaughters  On
Off
   (default = off)
            
In addition to the normal information in the listing of the 
process and event records, further lines 
list all the mothers and daughters of each particle. 
   
 


            Main:numberToList       (default = 2; minimum = 0)
            
Deprecated. The number of events to list. 
   
 


            Main:timesToShow       (default = 50; minimum = 0)
            
Deprecated. Print the number of events generated so far, this many times, 
i.e. once every numberOfEvents/numberToShow events. 
   
 

            Statistics
             
 


            Stat:showProcessLevel  On
Off
   (default = on)
            
Print the available statistics on number of generated events and 
cross sections, where relevant. 
   
 


            Stat:showPartonLevel  On
Off
   (default = off)
            
Print the available statistics on number and types of multiparton 
interactions, where relevant. 
   
 


            Stat:showErrors  On
Off
   (default = on)
            
Print the available statistics on number and types of 
aborts, errors and warnings. 
   
 


            Stat:reset  On
Off
   (default = off)
            
Reset the statistics of the above three kinds. The default is that 
all stored statistics information is unaffected by the 
pythia.stat() call. Counters are automatically reset 
in each new pythia.init() call, however, so the only time 
the reset option makes a difference is if stat() 
is called several times in a (sub)run. 
   
 


            Main:showAllStatistics  On
Off
   (default = off)
            
Print all available statistics or only the minimal set at the end 
of the run. 
   
 

            Subruns
             
 
You can use ";?>subruns to carry out 
several tasks in the same run. In that case you will need repeated 
instances of the first setting below in your command file, and could 
additionally use the second and third as well. 
 


            Main:subrun       (default = -999; minimum = 0)
            
The number of the current subrun, a non-negative integer, put as 
first line in a section of lines to be read for this particular subrun. 
   
 


            Main:LHEFskipInit  On
Off
   (default = off)
            
If you read several Les Houches Event Files that you want to see 
considered as one single combined event sample you can set this flag 
on after the first subrun to skip (most of) the 
(re-)initialization step. 
   
 


            Main:numberOfSubruns       (default = 0)
            
The number of subruns you intend to use in your current run. 
Unlike the two settings above, Pythia itself will not 
interpret this number, but you could e.g. have a loop in your main 
program to loop over subruns from 0 through 
numberOfSubruns - 1. 
   
 

            Spares
             
 
For currently unforeseen purposes, a few dummy settings are made 
available here. The user can set the desired value in a "cards file" 
and then use that value in the main program as desired. 
 


            Main:spareFlag1  On
Off
   (default = off)
            
   
 


            Main:spareFlag2  On
Off
   (default = off)
            
   
 


            Main:spareFlag3  On
Off
   (default = off)
            
   
 


            Main:spareMode1       (default = 0)
            
   
 


            Main:spareMode2       (default = 0)
            
   
 


            Main:spareMode3       (default = 0)
            
   
 


            Main:spareParm1      (default = 0.)
            
   
 


            Main:spareParm2      (default = 0.)
            
   
 


            Main:spareParm3      (default = 0.)
            
   
 


            Main:spareWord1       (default = void)
            
   
 


            Main:spareWord2       (default = void)
            
   
 


            Main:spareWord3       (default = void)
            
   
 


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pythia8-8.1.86.orig/phpdoc/ProgramFiles.php0000644000175000017500000004273512357553536016750 0ustar  sunsun

Program Files






SETTINGS SAVED TO FILE

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            Program Files
             
 
The code is subdivided into a set of files, mainly by physics 
task. Each file typically contains one main class, but often 
with a few related helper classes that are not used elsewhere in 
the program. Normally the files come in pairs. 

               

            • A header file, .h in the include 
subdirectory, where the public interface of the class is declared, 
and inline methods are defined.
              •  

            • A source code file, .cc in the src 
subdirectory, where most of the methods are implemented.
              •  

             
During compilation, related dependency files, .d, and 
compiled code, .o are created in the tmp 
subdirectory. 
 

             
In part the .xml documentation files in the 
xmldoc subdirectory have matching names, but the match 
is broken by the desire to group topics more by user interaction than 
internal operation. On these pages the function of the different code 
files is summarized. Currently, each .xml file is also 
translated into an .html one in the 
htmldoc subdirectory, to allow easy viewing of the 
contents in a web browser, and an .php one in 
phpdoc, for more sophisticated interactivity 
if that subdirectory is installed on a web server. 
 

             
Here is the current list of files, ordered alphabetically, with a brief 
description of contents. 
 

            file   Analysis   
            
contains routines to analyze events. Currently it can do sphericity, 
thrust, Lund/Jade/Durham jet clustering, cone-jet finding, and the 
kT, anti-kT and Cambridge/Aachen algorithms for 
hadron colliders. 
   
 

            file   Basics   
            
contains some basic facilities of general use: a random number 
generator Rndm, a four-vector class Vec4, and a 
histogram class Hist. 
   
 

            file   BeamParticle   
            
contains information on all partons extracted from one of the two 
beams. Defines modified parton distributions accordingly during the 
showering and multiparton interactions processing, thereby extending on 
the one-particle-inclusive distributions defined by the previous class. 
Finds the internal structure for a beam remnant. 
   
 

            file   BeamRemnants   
            
adds primordial kT to the set of hard subsystems, 
and combines these subsystems with the two beam remnants to provide 
the overall energy-momentum picture. Also ties together all the 
colour lines into consistent singlets. 
   
 

            file   BeamShape   
            
generates momentum spread of beams, and spread of collision vertex 
position. 
   
 

            file   BoseEinstein   
            
provides a simple method to impose Bose-Einstein correlations on 
pairs of identical mesons. 
   
 

            file   Event   
            
contains the event record, which basically is a vector of particles. 
This file also contains the Particle class, used by 
Event. Pythia uses two Event 
objects, one for the process-level record (process) and 
one for the complete event (event). 
   
 

            file   FJcore   
            
contains the external FJcore package, providing the coure functionality 
of the FastJet jet fiding package 
   
 

            file   FragmentationFlavZpT   
            
contains the classes for describing the fragmentation steps in 
flavour and in longitudinal and transverse momentum. 
   
 

            file   FragmentationSystems   
            
defines some containers of parton systems, for use in 
the fragmentation routines. 
   
 

            file   HadronLevel   
            
turns the parton-level event above into a set of outgoing particles, 
by applying string fragmentation (with special treatment for low-mass 
systems) and secondary decays, and optionally Bose-Einstein corrections. 
   
 

            file   HadronScatter   
            
contains the beginning of a machinery for final state hadronic 
rescattering. 
   
 

            file   HelicityBasics   
            
basic classes for the handling of helicities in tau lepton decays. 
   
 

            file   HelicityMatrixElements   
            
helicity-dependent decay matrix elements for the tau lepton. 
   
 

            file   HiddenValleyFragmentation   
            
hadronization in models with a hidden sector that contains an unbroken 
SU(N), which gives confinement. The model and code is largely 
derived from the normal fragmentation classes. 
   
 

            file   History   
            
methods to reconstruct the imagined shower history of a 
matrix-element-generated multiparton configuration, as part of 
the CKKW-L matrix element merging. 
   
 

            file   Info   
            
is a simple container that gives access to some information on the 
nature of the current process, such as Mandelstam variables. 
Also contains a small database for errors and warnings encountered 
during program execution. 
   
 

            file   LesHouches   
            
gives the possibility to feed in parton configurations for the 
subsequent event generation. One base class is defined, with containers 
for initialization and event information, that can be read from 
Pythia. Derived classes allow for a few different cases. 
   
 

            file   LHAFortran   
            
is a header file only, for a class derived from the above LesHouches 
one, to be used for runtime interfacing to Fortran programs, such as 
PYTHIA 6. 
   
 

            file   LHAPDFInterface   
            
is a header file only, with interfaces to the key LHAPDF routines, 
as needed for a runtime interface. There is a file 
lhapdfdummy/LHAPDFdummy.cc with matching dummy 
implementations, however. This file is used to build a separate 
liblhapdfdummy library, to be linked when the LHAPDF 
library is not used, so as to avoid problems with undefined references. 
   
 

            file   Merging   
            
Wpapper class to interface matrix element merging schemes with Pythia. 
   
 

            file   MergingHooks   
            
intercede in the normal shower evolution to construct the relevant 
Sudakov form factor suppressions as part of the CKKW-L matrix element 
merging. 
   
 

            file   MiniStringFragmentation   
            
performs string fragmentation in cases where the colour singlet 
subsystem mass is so small that one or at most two primary hadrons 
should be produced from it. 
   
 

            file   MultipartonInteractions   
            
performs multiparton interactions. 
   
 

            file   ParticleData   
            
contains a database of all necessary particle data (masses, names, ..) 
and decay channels. 
   
 

            file   ParticleDecays   
            
performs the decays of all normal unstable hadrons and leptons, i.e. 
in mass up to and including b bbar systems. It is not 
intended for decays of electroweak resonances, like Z^0. 
   
 

            file   PartonDistributions   
            
contains parton distribution functions for the proton and electron. 
Currently very simple, with only two p parametrizations 
and one e ditto available, but it is possible to link in 
external sets. 
   
 

            file   PartonLevel   
            
turns the (hard) process above into a complete set of partons, by 
adding initial- and final-state radiation, multiparton 
interactions, and beam remnants. 
   
 

            file   PartonSystems   
            
keeps track of which partons belong to which partonic subsystem, 
i.e. one of the multiparton (semi)hard interactions with associated 
showers. 
   
 

            file   PhaseSpace   
            
selects a point in phase space for the hard-process generation, 
optimized separately for each process to give improved Monte Carlo 
efficiency. 
   
 

            file   ProcessContainer   
            
packages the information on a given subprocess, combining the 
phase-space selection and cross-section evaluation machineries 
with some statistics information. Also sets up the list of processes 
to be studied in a run. 
   
 

            file   ProcessLevel   
            
handles the generation of the (hard) process that sets the character 
of the event. This involves either using internally implemented 
processes or linking to Les Houches information. The latter can 
be by runtime interfaces or by reading in a file. This step also 
includes resonance decays. 
   
 

            file   Pythia   
            
is the main class, that administrates the whole event generation 
process by making use of all the others classes. Objects of most 
other classes reside (directly or indirectly) inside Pythia, 
so only a Pythia object needs to be explicitly instantiated 
and addressed   by the user. 
   
 

            file   Pythia8ToHepMC   
            
contains an interface to convert the PYTHIA 8 event record into the 
HepMC format. The Pythia8ToHepMC.cc file is located in 
the subdirectory pythia8tohepmc and is used to build a 
separate libpythia8tohepmc library. 
   
 

            file   PythiaComplex   
            
is only a .h file, containing a typedef for 
double precision complex numbers. 
   
 

            file   PythiaStdlib   
            
contains most of the Stdlib headers used in PYTHIA 8, 
with using directives. It defines M_PI if 
this is not already done. Also a few simple inline methods: 
pow2(x), pow3(x), pow4(x), 
pow5(x) and pow6(x) for small integer 
powers, and sqrtpos(x) where a max(0., x) 
ensures that one does not take the square root of a negative number. 
Also non-inlined GammaReal(x) for the Gamma 
function value of a real argument. 
   
 

            file   ResonanceDecays   
            
decays resonances as part of the hard-process stage, in many cases 
(but not all) including angular correlations between the decay products. 
   
 

            file   ResonanceWidths   
            
encodes some properties of resonances, in particular the dynamic 
calculation of widths. 
   
 

            file   RHadrons   
            
handles the production and decay of hadrons formed by long-lived 
gluinos, stops or sbottoms. 
   
 

            file   Settings   
            
contains a database of all flags, modes, parameters and words that 
determine the performance of the generator. Initial values are obtained 
from the contents of the .xml files, but these values can 
then be changed by the user. 
   
 

            file   SigmaCompositeness   
            
contains the cross sections and matrix elements for production of 
some particles in compositeness scenarios, specifically excited 
fermions. 
   
 

            file   SigmaEW   
            
contains the cross sections and matrix elements for electroweak 
processes involving photons, Z^0's and W^+-'s. 
   
 

            file   SigmaExtraDim   
            
contains the cross sections and matrix elements for processes in 
scenarios involving extra dimensions. 
   
 

            file   SigmaGeneric   
            
contains the cross sections and matrix elements for some generic 
processes, to be used as building blocks for a few BSM scenarios. 
   
 

            file   SigmaHiggs   
            
contains the cross sections and matrix elements for Higgs production. 
   
 

            file   SigmaLeftRightSym   
            
contains the cross sections and matrix elements for particle production 
in left-right-symmetry scenarios, specifically righthanded Z 
and W bosons and doubly-charged Higgs bosons. 
   
 

            file   SigmaLeptoquark   
            
contains the cross sections and matrix elements for leptoquark production. 
   
 

            file   SigmaNewGaugeBosons   
            
contains the cross sections and matrix elements for a Z'^0, 
a W^+- and a horizontal gauge boson R^0. 
   
 

            file   SigmaOnia   
            
contains the cross sections and matrix elements for charmonium and 
bottomonium production. 
   
 

            file   SigmaProcess   
            
contains the base class and derived classes for the evaluation of 
different matrix elements. Also keeps track of allowed incoming 
parton configurations and their cross sections, including parton 
densities. In order to keep this file from becoming too big, actual 
cross sections are found in several separate files of derived classes: 
SigmaQCD, SigmaEW, SigmaOnia, 
SigmaHiggs, SigmaSUSY, 
SigmaNewGaugeBosons, SigmaLeftRightSym, 
SigmaLeptoquark, SigmaCompositeness, 
SigmaExtraDim and SigmaGeneric. 
   
 

            file   SigmaQCD   
            
contains the cross sections and matrix elements for soft and hard 
QCD processes. 
   
 

            file   SigmaSUSY   
            
contains the cross sections and matrix elements for Supersymmetric 
processes. 
   
 

            file   SigmaTotal   
            
contains parametrizations of total, elastic and diffractive hadronic 
cross sections. 
   
 

            file   SLHAinterface   
            
handles the communication between the SusyLesHouches 
classes and Pythia. 
   
 

            file   SpaceShower   
            
performs spacelike initial-state transverse-momentum-ordered 
shower evolution. 
   
 

            file   StandardModel   
            
contains the running alpha_strong, with Lambda 
matching at flavour thresholds, the running alpha_em, 
CKM mixing matrices, and a few other parameters such as 
sin^2(theta_W). 
   
 

            file   StringFragmentation   
            
performs string fragmentation of a given set of partons. 
   
 

            file   SusyCouplings   
            
stores the various couplings used for SUSY cross sections and 
decays, as calculated from input e.g. based on the SUSY Les Houches 
Accord. 
   
 

            file   SusyLesHouches   
            
contains information on SUSY parameters and particle data as specified 
by the SUSY Les Houches Accord. 
   
 

            file   SusyResonanceWidths   
            
encodes some properties of supersymmetric resonances, similar to 
what ResonanceWidths does for other resonances. 
   
 

            file   TauDecays   
            
the main routines for handling tau lepton decays with helicity 
information. 
   
 

            file   TimeShower   
            
performs timelike final-state transverse-momentum-ordered 
shower evolution. 
   
 

            file   UserHooks   
            
Provides a way for a user to study the event at a few intermediate 
stages of evolution, to reject the event as a whole or to modify 
its cross-section weight. 
   
 

            file   WeakShowerMEs   
            
provides some matrix elements used for ME corrections of W 
and Z weak gauge boson emission in both initial- and final-state 
parton showers. 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/HadronScattering.php0000644000175000017500000002013012357553536017576 0ustar  sunsun

Hadron Scattering






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
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?>


 

            Hadron Scattering
             
 
A simple hadron scattering model. It is intended to take into account 
that the overlap of multiple strings at low transverse dimensions 
is likely to lead to some collective effects, not unlike those 
observed in heavy-ion collisions, even if not quite as pronounced. 
Specifically, it is assumed that the hadrons produced can scatter 
against each other on the way out, before the fragmenting system 
has had time to expand enough that the hadrons get free. Thereby 
heavier particles are shifted to higher transverse momenta, at the 
expense of the lighter ones. 
 

            Warning: This is still at an experimental level, 
and should not be used unless you know what you are doing. 
 


            HadronScatter:scatter  On
Off
   (default = off)
            
Master flag for hadron scattering. 
   
 


            HadronScatter:afterDecay  On
Off
   (default = off)
            
Perform hadron scattering before or after first round of decays, 
involving very short-lived particles like the rho. 
The default is to perform scattering directly after the 
string fragmentation, before any decays. 
   
 


            HadronScatter:allowDecayProd  On
Off
   (default = off)
            
Allow two hadrons with same parent hadron to scatter. 
   
 


            HadronScatter:scatterRepeat  On
Off
   (default = off)
            
Allow hadrons which have already scattered to scatter again. 
Even if switched on, the same pair can not scatter off each 
other twice. 
   
 

            Hadron selection
             
 


            HadronScatter:hadronSelect      (default = 0; minimum = 0; maximum = 0)
            
Probability that a hadron is soft enough to scatter. 
(A high-pT hadron presumably being part of a jet, 
and thus produced away from the high-particle-density region 
at small transverse dimensions.) 

            
0 :   P = N exp(-pT^2 / 2 / sigma^2) /    ( (1 - k) exp(-pT^2 / 2 / sigma^2) + k pT0^p / (pT0^2 + pT^2)^(p/2),   with sigma = 2 StringPT:sigma and pT0 the same as that  used in MultipartonInteractions.  
            
 


            HadronScatter:N      (default = 1.0; minimum = 0.01; maximum = 1.0)
            
N parameter as above. 
   


            HadronScatter:k      (default = 1.0; minimum = 0.01; maximum = 1.0)
            
k parameter as above. 
   


            HadronScatter:p      (default = 6; minimum = 2; maximum = 30)
            
p parameter as above. 
   
 

            Scattering probability
             
 


            HadronScatter:scatterProb      (default = 0; minimum = 0; maximum = 2)
            
Probability for a pair of hadrons to scatter. 

            
0 : All hadrons scatter with probability  j max(0, 1 - dR^2 / rMax^2). Angular distribution  is picked flat in cos(theta).
            
1 : As option 0, above, but only pi-pi,  pi-K and pi-p scatterings are considered.  
            
2 : Only pi-pi, pi-K and  pi-p scatterings are considered, with probability  given by (1 - exp(-j sigEl)) max(0, 1 - dR^2 / rMax^2).  The elastic cross sections and angular distributions are taken  from the partial-wave distributions.  
            
 


            HadronScatter:j      (default = 0.5; minimum = 0.0; maximum = 10.0)
            
j parameter as above. 
   


            HadronScatter:rMax      (default = 0.5; minimum = 0.1; maximum = 2.0)
            
rMax parameter as above. 
   
 


            HadronScatter:tile  On
Off
   (default = off)
            
Use tiling in (eta, phi) to reduce number of pairwise tests. 
   
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/RandomNumbers.php0000644000175000017500000001451112357553536017121 0ustar  sunsun

Random Numbers






SETTINGS SAVED TO FILE

            "; }
else {
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            "; }
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?>


            
     

            Random Numbers
             
 
This page describes the random-number generator in PYTHIA and 
how it can be replaced by an external one. 
  

            Internal random numbers
             
 
The Rndm class generates random numbers, using the 
Marsaglia-Zaman-Tsang algorithm [Mar90]. 
 

             
Random numbers R uniformly distributed in 
0 < R < 1 are obtained with 

             
   Rndm::flat(); 

             
There are also methods to generate according to an exponential, to 
x * exp(-x), to a Gaussian, or picked among a set of 
possibilities, which make use of flat(). 
 

             
If the random number generator is not initialized before, it will be 
so the first time it is asked to generate a random number, and then 
with the default seed, 19780503. This means that, by default, all runs 
will use identically the same random number sequence. This is 
convenient for debugging purposes, but dangerous if you intend to 
run several "identical" jobs to boost statistics. You can initialize, 
or reinitialize, with your own choice of seed with a 

             
   Rndm::init(seed); 

             
Here values 0 < seed < 900 000 000 gives so many 
different random number sequences, while seed = 0 will call 
the Stdlib time(0) function to provide a "random" 
seed, and seed < 0 will revert back to 
the default seed. 
 

             
The Pythia class defines ";?>a 
flag and a mode, that allows the seed to be set in 
the Pythia::init call. That would be the standard way for a 
user to pick the random number sequence in a run. 
 

            External random numbers
             
 
RndmEngine is a base class for the external handling of 
random-number generation. The user-written derived class is called 
if a pointer to it has been handed in with the 
pythia.rndmEnginePtr() method. Since the default 
Marsaglia-Zaman-Tsang algorithm is quite good, chances are that any 
replacement would be a step down, but this may still be required by 
consistency with other program elements in big experimental frameworks. 
 

             
There is only one pure virtual method in RndmEngine, to 
generate one random number flat in the range between 0 and 1: 

             
  virtual double flat() = 0; 

             
Note that methods for initialization are not provided in the base 
class, in part since input parameters may be specific to the generator 
used, in part since initialization can as well be taken care of 
externally to the Pythia code. 
 

             
An example illustrating how to run with an external random number 
generator is provided in main23.cc. 
 

            The methods
             
 
We here collect a more complete and formal overview of the methods. 
    


            Rndm::Rndm()   
            
construct a random number generator, but does not initialize it. 
   
    


            Rndm::Rndm(int seed)   
            
construct a random number generator, and initialize it for the 
given seed number. 
   
    


            bool Rndm::rndmEnginePtr( RndmEngine* rndmPtr)   
            
pass in pointer for external random number generation. 
   
    


            void Rndm::init(int seed = 0)   
            
initialize, or reinitialize, the random number generator for the given 
seed number. Not necessary if the seed was already set in the constructor. 
   
    


            double Rndm::flat()   
            
generate next random number uniformly between 0 and 1. 
   
    


            double Rndm::exp()   
            
generate random numbers according to exp(-x). 
   
    


            double Rndm::xexp()   
            
generate random numbers according to x exp(-x). 
   
    


            double Rndm::gauss()   
            
generate random numbers according to exp(-x^2/2). 
   
    


            pair<double, double> Rndm::gauss2()   
            
generate a pair of random numbers according to 
exp( -(x^2 + y^2) / 2). Is faster than two calls 
to gauss(). 
   
    


            int Rndm::pick(const vector& prob)   
            
pick one option among vector of (positive) probabilities. 
   
    


            bool Rndm::dumpState(string fileName)   
            
save the current state of the random number generator to a binary 
file. This involves two integers and 100 double-precision numbers. 
Intended for debug purposes. Note that binary files may be 
platform-dependent and thus not transportable. 
   
    


            bool Rndm::readState(string fileName)   
            
set the state of the random number generator by reading in a binary 
file saved by the above command. Comments as above. 
   
    


            virtual double RndmEngine::flat()   
            
if you want to construct an external random number generator 
(or generator interface) then you must implement this method 
in your class derived from the RndmEningen base class, 
to give a random number between 0 and 1. 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/TopProcesses.php0000644000175000017500000001122112357553536016771 0ustar  sunsun

Top Processes






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Top Processes
             
 
Different ways to produce top quarks, singly or in pairs. 
 


            Top:all  On
Off
   (default = off)
            
Common switch for the group of top production. 
   
 


            Top:gg2ttbar  On
Off
   (default = off)
            
Scatterings g g → t tbar. 
Code 601. 
   
 


            Top:qqbar2ttbar  On
Off
   (default = off)
            
Scatterings q qbar → t tbar by gluon exchange. 
Code 602. 
   
 


            Top:qq2tq(t:W)  On
Off
   (default = off)
            
Scatterings q q' → t q'' by t-channel exchange 
of a W^+- boson. 
Code 603. 
   
 


            Top:ffbar2ttbar(s:gmZ)  On
Off
   (default = off)
            
Scatterings f fbar → t tbar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 604. 
   
 


            Top:ffbar2tqbar(s:W)  On
Off
   (default = off)
            
Scatterings f fbar' → t q'' by s-channel exchange 
of a W^+- boson. 
Code 605. 
   
 


            Top:gmgm2ttbar  On
Off
   (default = off)
            
Scatterings gamma gamma → t tbar. 
Code 606. 
   
 

             
By default top always decays to a W and a down-type quark. 
It is possible to switch on the t → H+ b decay mode. 
Note that its partial width is calculated using the tan(beta) 
value stored in HiggsHchg:tanBeta, so that it can be used 
without having to read in a SUSY parameter file. For the H+ to 
decay also Higgs:useBSM = on is necessary. 
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/FourVectors.php0000644000175000017500000004272312357553536016634 0ustar  sunsun

Four-Vectors






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            "; }
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?>


            
 

            Four-Vectors
             
 
The Vec4 class gives a simple implementation of four-vectors. 
The member function names are based on the assumption that these 
represent four-momentum vectors. Thus one can get or set 
p_x, p_y, p_z and e, but not x, y, z 
or t. This is only a matter of naming, however; a 
Vec4 can equally well be used to store a space-time 
four-vector. 
  

             
The Particle object contains a Vec4 p that 
stores the particle four-momentum, and another Vec4 vProd 
for the production vertex. For the latter the input/output method 
names are adapted to the space-time character rather than the normal 
energy-momentum one. Thus a user would not normally access the 
Vec4 classes directly, but only via the methods of the 
Particle class, 
see ";?>Particle Properties. 
 

             
Nevertheless you are free to use the PYTHIA four-vectors, e.g. as 
part of some simple analysis code based directly on the PYTHIA output, 
say to define the four-vector sum of a set of particles. But note that 
this class was never set up to allow complete generality, only  to 
provide the operations that are of use inside PYTHIA. There is no 
separate class for three-vectors, since such can easily be represented 
by four-vectors where the fourth component is not used. 
 

             
Four-vectors have the expected functionality: they can be created, 
copied, added, multiplied, rotated, boosted, and manipulated in other 
ways. Operator overloading is implemented where reasonable. Properties 
can be read out, not only the components themselves but also for derived 
quantities such as absolute momentum and direction angles. 
 

            Constructors and basic operators
             
 
A few methods are available to create or copy a four-vector: 
 


            Vec4::Vec4(double x = 0., double y = 0., double z = 0., double t = 0.)   
            
creates a four-vector, by default with all components set to 0. 
   
 


            Vec4::Vec4(const Vec4& v)   
            
creates a four-vector copy of the input four-vector. 
   
 


            Vec4& Vec4::operator=(const Vec4& v)   
            
copies the input four-vector. 
   
 


            Vec4& Vec4::operator=(double value)   
            
gives a  four-vector with all components set to value. 
   
 

            Member methods for input
             
 
The values stored in a four-vector can be modified in a few different 
ways: 
 


            void Vec4::reset()   
            
sets all components to 0. 
   
 


            void Vec4::p(double pxIn, double pyIn, double pzIn, double eIn)   
            
sets all components to their input values. 
   
 


            void Vec4::p(Vec4 pIn)   
            
sets all components equal to those of the input four-vector. 
   
 


            void Vec4::px(double pxIn)   
            
   
void Vec4::py(double pyIn)   
            
   
void Vec4::pz(double pzIn)   
            
   
void Vec4::e(double eIn)   
            
sets the respective component to the input value. 
   
 

            Member methods for output
             
 
A number of methods provides output of basic or derived quantities: 
 


            double Vec4::px()   
            
   
double Vec4::py()   
            
   
double Vec4::pz()   
            
   
double Vec4::e()   
            
gets the respective component. 
   
 


            double Vec4::mCalc()   
            
   
double Vec4::m2Calc()   
            
the (squared) mass, calculated from the four-vectors. 
If m^2 < 0 the mass is given with a minus sign, 
-sqrt(-m^2).  Note the possible loss of precision 
in the calculation of E^2 - p^2; for particles the 
correct mass is stored separately to avoid such problems. 
   
 


            double Vec4::pT()   
            
   
double Vec4::pT2()   
            
the (squared) transverse momentum. 
   
 


            double Vec4::pAbs()   
            
   
double Vec4::pAbs2()   
            
the (squared) absolute momentum. 
   
 


            double Vec4::eT()   
            
   
double Vec4::eT2()   
            
the (squared) transverse energy, 
eT = e * sin(theta) = e * pT / pAbs. 
   
 


            double Vec4::theta()   
            
the polar angle, in the range 0 through 
pi. 
   
 


            double Vec4::phi()   
            
the azimuthal angle, in the range -pi through pi. 
   
 


            double Vec4::thetaXZ()   
            
the angle in the xz plane, in the range -pi through 
pi, with 0 along the +z axis. 
   
 


            double Vec4::pPos()   
            
   
double Vec4::pNeg()   
            
the combinations E+-p_z.   
 


            double Vec4::rap()   
            
   
double Vec4::eta()   
            
true rapidity y and pseudorapidity eta. 
   
 

            Friend methods for output
             
 
There are also some friend methods that take one, two 
or three four-vectors as argument. Several of them only use the 
three-vector part of the four-vector. 
 


            friend ostream& operator<<(ostream&, const Vec4& v)   
            
writes out the values of the four components of a Vec4 and, 
within brackets, a fifth component being the invariant length of the 
four-vector, as provided by mCalc() above, and it all 
ended with a newline. 
   
 


            friend double m(const Vec4& v1, const Vec4& v2)   
            
   
friend double m2(const Vec4& v1, const Vec4& v2)   
            
the (squared) invariant mass. 
   
 


            friend double dot3(const Vec4& v1, const Vec4& v2)   
            
the three-product. 
   
 


            friend double cross3(const Vec4& v1, const Vec4& v2)   
            
the cross-product. 
   
 


            friend double theta(const Vec4& v1, const Vec4& v2)   
            
   
friend double costheta(const Vec4& v1, const Vec4& v2)   
            
the (cosine) of the opening angle between the vectors, 
in the range 0 through pi. 
   
 


            friend double phi(const Vec4& v1, const Vec4& v2)   
            
   
friend double cosphi(const Vec4& v1, const Vec4& v2)   
            
the (cosine) of the azimuthal angle between the vectors around the 
z axis, in the range 0 through pi. 
   
 


            friend double phi(const Vec4& v1, const Vec4& v2, const Vec4& v3)   
            
   
friend double cosphi(const Vec4& v1, const Vec4& v2, const Vec4& v3)   
            
the (cosine) of the azimuthal angle between the first two vectors 
around the direction of the third, in the range 0 through pi. 
   
 


            friend double RRapPhi(const Vec4& v1, const Vec4& v2)   
            
   
friend double REtaPhi(const Vec4& v1, const Vec4& v2)   
            
the R distance measure, in (y, phi) or 
(eta, phi) cylindrical coordinates, i.e. 
R^2 = (y_1 - y_2)^2 + (phi_1 - phi_2)^2 and equivalent. 
   
 

            Operations with four-vectors
             
 
Of course one should be able to add, subtract and scale four-vectors, 
and more: 
 


            Vec4 Vec4::operator-()   
            
return a vector with flipped sign for all components, while leaving 
the original vector unchanged. 
   
 


            Vec4& Vec4::operator+=(const Vec4& v)   
            
add a four-vector to an existing one. 
   
 


            Vec4& Vec4::operator-=(const Vec4& v)   
            
subtract a four-vector from an existing one. 
   
 


            Vec4& Vec4::operator*=(double f)   
            
multiply all four-vector components by a real number. 
   
 


            Vec4& Vec4::operator/=(double f)   
            
divide all four-vector components by a real number. 
   
 


            friend Vec4 operator+(const Vec4& v1, const Vec4& v2)   
            
add two four-vectors. 
   
 


            friend Vec4 operator-(const Vec4& v1, const Vec4& v2)   
            
subtract two four-vectors. 
   
 


            friend Vec4 operator*(double f, const Vec4& v)   
            
   
friend Vec4 operator*(const Vec4& v, double f)   
            
multiply a four-vector by a real number. 
   
 


            friend Vec4 operator/(const Vec4& v, double f)   
            
divide a four-vector by a real number. 
   
 


            friend double operator*(const Vec4& v1, const Vec4 v2)   
            
four-vector product. 
   
 

             
There are also a few related operations that are normal member methods: 
 


            void Vec4::rescale3(double f)   
            
multiply the three-vector components by f, but keep the 
fourth component unchanged. 
   
 


            void Vec4::rescale4(double f)   
            
multiply all four-vector components by f. 
   
 


            void Vec4::flip3()   
            
flip the sign of the three-vector components, but keep the 
fourth component unchanged. 
   
 


            void Vec4::flip4()   
            
flip the sign of all four-vector components. 
   
 

            Rotations and boosts
             
 
A common task is to rotate or boost four-vectors. In case only one 
four-vector is affected the operation may be performed directly on it. 
However, in case many particles are affected, the helper class 
RotBstMatrix can be used to speed up operations. 
 


            void Vec4::rot(double theta, double phi)   
            
rotate the three-momentum with the polar angle theta 
and the azimuthal angle phi. 
   
 


            void Vec4::rotaxis(double phi, double nx, double ny, double nz)   
            
rotate the three-momentum with the azimuthal angle phi 
around the direction defined by the (n_x, n_y, n_z) 
three-vector. 
   
 


            void Vec4::rotaxis(double phi, Vec4& n)   
            
rotate the three-momentum with the azimuthal angle phi 
around the direction defined by the three-vector part of n. 
   
 


            void Vec4::bst(double betaX, double betaY, double betaZ)   
            
boost the four-momentum by beta = (beta_x, beta_y, beta_z). 
   
 


            void Vec4::bst(double betaX, double betaY, double betaZ, double gamma)   
            
boost the four-momentum by beta = (beta_x, beta_y, beta_z), 
where the gamma = 1/sqrt(1 - beta^2) is also input to allow 
better precision when beta is close to unity. 
   
 


            void Vec4::bst(const Vec4& p)   
            
boost the four-momentum by beta = (p_x/E, p_y/E, p_z/E). 
   
 


            void Vec4::bst(const Vec4& p, double m)   
            
boost the four-momentum by beta = (p_x/E, p_y/E, p_z/E), 
where the gamma = E/m is also calculated from input to allow 
better precision when beta is close to unity. 
   
 


            void Vec4::bstback(const Vec4& p)   
            
boost the four-momentum by beta = (-p_x/E, -p_y/E, -p_z/E). 
   
 


            void Vec4::bstback(const Vec4& p, double m)   
            
boost the four-momentum by beta = (-p_x/E, -p_y/E, -p_z/E), 
where the gamma = E/m is also calculated from input to allow 
better precision when beta is close to unity. 
   
 


            void Vec4::rotbst(const RotBstMatrix& M)   
            
perform a combined rotation and boost; see below for a description 
of the RotBstMatrix. 
   
 

             
For a longer sequence of rotations and boosts, and where several 
Vec4 are to be rotated and boosted in the same way, 
a more efficient approach is to define a RotBstMatrix, 
which forms a separate auxiliary class. You can build up this 
4-by-4 matrix by successive calls to the methods of the class, 
such that the matrix encodes the full sequence of operations. 
The order in which you do these calls must agree with the imagined 
order in which the rotations/boosts should be applied to a 
four-momentum, since in general the operations do not commute. 
 


            RotBstMatrix::RotBstMatrix()   
            
creates a diagonal unit matrix, i.e. one that leaves a four-vector 
unchanged. 
   
 


            RotBstMatrix::RotBstMatrix(const RotBstMatrix& Min)   
            
creates a copy of the input matrix. 
   
 


            RotBstMatrix& RotBstMatrix::operator=(const RotBstMatrix4& Min)   
            
copies the input matrix. 
   
 


            void RotBstMatrix::rot(double theta = 0., double phi = 0.)   
            
rotate by this polar and azimuthal angle. 
   
 


            void RotBstMatrix::rot(const Vec4& p)   
            
rotate so that a vector originally along the +z axis becomes 
parallel with p. More specifically, rotate by -phi, 
theta and phi, with angles defined by p. 
   
 


            void RotBstMatrix::bst(double betaX = 0., double betaY = 0., double betaZ = 0.)   
            
boost by this beta vector. 
   
 


            void RotBstMatrix::bst(const Vec4&)   
            
   
void RotBstMatrix::bstback(const Vec4&)   
            
boost with a beta = p/E or beta = -p/E, respectively. 
   
 


            void RotBstMatrix::bst(const Vec4& p1, const Vec4& p2)   
            
boost so that p_1 is transformed to p_2. It is assumed 
that the two vectors obey p_1^2 = p_2^2. 
   
 


            void RotBstMatrix::toCMframe(const Vec4& p1, const Vec4& p2)   
            
boost and rotate to the rest frame of p_1 and p_2, 
with p_1 along the +z axis. 
   
 


            void RotBstMatrix::fromCMframe(const Vec4& p1, const Vec4& p2)   
            
rotate and boost from the rest frame of p_1 and p_2, 
with p_1 along the +z axis, to the actual frame of 
p_1 and p_2, i.e. the inverse of the above. 
   
 


            void RotBstMatrix::rotbst(const RotBstMatrix& Min);   
            
combine the current matrix with another one. 
   
 


            void RotBstMatrix::invert()   
            
invert the matrix, which corresponds to an opposite sequence and sign 
of rotations and boosts. 
   
 


            void RotBstMatrix::reset()   
            
reset to no rotation/boost; i.e. the default at creation. 
   
 


            double RotBstMatrix::deviation()   
            
crude estimate how much a matrix deviates from the unit matrix: 
the sum of the absolute values of all non-diagonal matrix elements 
plus the sum of the absolute deviation of the diagonal matrix 
elements from unity. 
   
 


            friend ostream& operator<<(ostream&, const RotBstMatrix& M)   
            
writes out the values of the sixteen components of a 
RotBstMatrix, on four consecutive lines and 
ended with a newline. 
   
 


 
 
pythia8-8.1.86.orig/phpdoc/ExternalDecays.php0000644000175000017500000001006712357553536017262 0ustar  sunsun

External Decays






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            External Decays
             
 
DecayHandler is a base class for the external handling of 
decays. It is intended for normal particle decays, primarily 
B mesons and tau, and cannot be used to redirect 
decays of heavy resonances like t or Z^0. 
The user-written derived class is called if a pointer to it has 
been given with the 
";?>pythia.decayPtr() 
method, where it also is specified which particles it will be called for. 
This particle information is accessible with the 
";?>doExternalDecay() 
method. 
 

             
There is only one pure virtual method in DecayHandler, 
to do the decay: 


            virtual bool DecayHandler::decay(vector<int>& idProd, vector<double>& mProd, vector<Vec4>& pProd, int iDec, const Event& event)   
            
where 

            argument idProd   :  is a list of particle PDG identity codes, 
   

            argument mProd   :  is a list of their respective masses (in GeV), and 
   

            argument pProd   :  is a list of their respective four-momenta. 
   
   
 

             
At input, these vectors each have size one, so that idProd[0], 
mProd[0] and pProd[0] contain information on the 
particle that is to be decayed. At output, the vectors should have 
increased by the addition of all the decay products. Even if initially 
defined in the rest frame of the mother, the products should have been 
boosted so that their four-momenta add up to the pProd[0] of 
the decaying particle. 
 

             
Should it be of interest to know the prehistory of the decaying 
particle, e.g. to set some helicity information affecting the 
decay angular distribution, the full event record is available 
read-only, with info in which slot iDec the decaying particle 
is stored. 
 

             
The routine should return true if it managed the decay and 
false otherwise, in which case Pythia will try 
to do the decay itself. This e.g. means you can choose to do some decay 
channels yourself, and leave others to Pythia. To avoid 
double-counting, the channels you want to handle should be switched off 
in the Pythia particle database. In the beginning of the 
external decay method you should then return 
false with a probability given by the sum of the branching 
ratios for those channels you do not want to handle yourself. 
 

             
Note that the decay vertex is always set by Pythia, and that 
B-Bbar oscillations have already been taken into account, 
if they were switched on. Thus idProd[0] may be the opposite 
of event[iDec].id(), where the latter provides the code at 
production. 
 

             
A sample test program is available in main17.cc, providing 
a simple example of how to use this facility. 
 


 
 
pythia8-8.1.86.orig/phpdoc/EventStatistics.php0000644000175000017500000001574412357553536017512 0ustar  sunsun

Event Statistics






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Event Statistics
             
 
At the end of the run you will want to write out the final statistics 
on number of events generated, the corresponding cross sections and 
the number of errors encountered. This is done either with the 
pythia.stat() method or the pythia.statistics() 
one, assuming pythia is an instance of the 
Pythia class.The former method is steered entirely by 
settings values, see ";?>here. 
The latter, deprecated one instead takes two arguments: 
  


            void Pythia::statistics(bool all = false, bool reset = false)   
            
write out statistics on cross sections and errors. This is based on 
calls to the methods below, for the two kinds of information. 

            argument all   :  
if true it allows a more extensive listing than the default 
one, see multiparton-interactions statistics below. 
   

            argument reset   :  if true it implies that all counters, 
e.g on events generated and errors experienced, are reset to zero whenever 
the routine is called. The default instead is that all stored 
statistics information is unaffected by the call. 
Counters are automatically reset in each new Pythia::init() 
call, however, so the only time the reset option makes a 
difference is if statistics(...) is called several times 
in a (sub)run. 
   
   
 

            Cross-section statistics
             
 
The ProcessLevel::statistics() method cannot be accessed 
directly, but only via the Pythia::stat() and 
Pythia::statistics(...) calls above. 
When called it will loop over the list of existing processes, and for 
each write out name, code, the number of tried, selected and accepted 
events, the cross section and the estimated error on the latter. 
The three different event numbers are related to the Monte Carlo method 
used, whereby an initial upper estimate of the cross section is used to 
select a large number of trial phase-space points, whereof then not all 
survive. Rejections are normally done by the internal machinery, but can 
also be obtained by ";?>user hooks. 
Therefore: 

               

            • tried events reflect the original number of 
phase-space points probed, as part of the upper estimate;
              •  

            • selected events correspond to those that survive 
the internal Monte-Carlo selection procedure;
              •  

            • accepted events are those that also survive 
the additional user cuts.
              •  

             
In most runs there would be no user hooks implemented, and then the 
numbers of selected and of accepted events will agree. Aborted events 
(see below) usually appear in the selected statistics but not in the 
accepted one. 
 

             
For Les Houches events the total cross section will be correctly 
displayed; however the (optional) error value will not be used, so that 
the reported error will be smaller than the correct statistical ones, 
and often vanish completely. Furthermore, while the number of events 
is shown for each user process, the cross section is only for the sum 
of them. 
 

            Error messages
             
 
When Pythia is run, errors may occur, and give rise to warning messages. 
These may be of varying severity, as follows: 

               

            • Abort means things went seriously wrong, and the 
initialization or event generation failed. In the former case it is 
not possible to generate events at all, in the latter the current 
event is flawed and should be skipped. In either case the respective 
method, Pythia::init() or Pythia::next(), 
then also returns the value false. There are occasions 
where an abort may be deliberate, such as when a file of Les Houches 
Events is read and the end of the file is reached.
              •  

            • Error normally is less severe. Typically the program will 
back up one step and try again. There are cases where this is not possible, 
in particular during the initialization and the generation of a hard 
process, and then the error may be followed by an abort as a direct 
consequence (with two separate messages).
              •  

            • Warning is even less severe. In some cases the program will 
try again, with  good chances of success, in others no measure at all 
need to be taken.
              •  

             
 

             
The error messages is handled by a small part of the Info 
class. It is handed any abort, error or warning messages during the event 
generation phase, and will store each distinct message, with a counter 
for how many times it is issued. Thus it is possible to limit the number 
of identical messages issued, currently hardcoded so that each kind of 
error message is only printed once 
(static const int TIMESTOPRINT = 1). 
This can be overridden by the calling routine, so that all messages of 
this kind are shown, which is particularly relevant for the 
initialization  stage. 
The summary table printed by Pythia::statistics() 
provides a table with all the different messages issued, in 
alphabetical order, with the total number of times each was generated. 
 

            Multiparton-interactions statistics
             
 
If you call Pythia::statistics(true), i.e. with the first 
optional argument true, also statistics on multiparton 
interactions is printed, comprising a list of all allowed subprocesses 
with how many times each of them has been generated. For the nondiffractive 
process this also includes the hardest interaction, while else the 
hardest process is excluded from the statistics. (This is because 
the hardest process is of the same character and generated by the same 
machinery in the former case but not in the latter. Also, for the 
former case only, the standard statistics listing only lists 
nondiffractive as one single process, i.e. does not further specify 
the character of the hardest subprocess, so there is not any overlap 
between the two.) 
 


 
 
pythia8-8.1.86.orig/phpdoc/ParticleProperties.php0000644000175000017500000011542212357553536020170 0ustar  sunsun

Particle Properties






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Particle Properties
             
 
A Particle corresponds to one entry/slot in the 
event record. Its properties therefore is a mix of ones belonging 
to a particle-as-such, like its identity code or four-momentum, 
and ones related to the event-as-a-whole, like which mother it has. 
 

             
What is stored for each particle is 

               

            • the identity code,
              •  

            • the status code,
              •  

            • two mother indices,
              •  

            • two daughter indices,
              •  

            • a colour and an anticolour index,
              •  

            • the four-momentum and mass,
              •  

            • the scale at which the particle was produced (optional),
              •  

            • the polarization/spin/helicity of the particle (optional),
              •  

            • the production vertex and proper lifetime (optional),
              •  

            • a pointer to the particle kind in the particle data table, and
              •  

            • a pointer to the event the particle belongs to.
              •  

             
From these, a number of further quantities may be derived. 
 

            Basic output methods
             
 
The following member functions can be used to extract the most important 
information: 
 


            int Particle::id()   
            
the identity of a particle, according to the PDG particle codes 
[Yao06]. 
   
 


            int Particle::status()   
            
status code. The status code includes information on how a particle was 
produced, i.e. where in the program execution it was inserted into the 
event record, and why. It also tells whether the particle is still present 
or not. It does not tell how a particle disappeared, whether by a decay, 
a shower branching, a hadronization process, or whatever, but this is 
implicit in the status code of its daughter(s). The basic scheme is: 

               

            • status = +- (10 * i + j)
              •  

            •  +          : still remaining particles
              •  

            •  -          : decayed/branched/fragmented/... and not remaining
              •  

            •  i =  1 - 9 : stage of event generation inside PYTHIA
              •  

            •  i = 10 -19 : reserved for future expansion
              •  

            •  i >= 20    : free for add-on programs
              •  

            •  j = 1 - 9  : further specification
              •  

             
In detail, the list of used or foreseen status codes is: 

               

            • 11 - 19 : beam particles
              •  
  
                 
  
              • 11 : the event as a whole
                •  
  
              • 12 : incoming beam
                •  
  
              • 13 : incoming beam-inside-beam (e.g. gamma 
           inside e)
                •  
  
              • 14 : outgoing elastically scattered
                •  
  
              • 15 : outgoing diffractively scattered
                •  
  
               

            • 21 - 29 : particles of the hardest subprocess
              •  
  
                 
  
              • 21 : incoming
                •  
  
              • 22 : intermediate (intended to have preserved mass)
                •  
  
              • 23 : outgoing
                •  
  
              • 24 : outgoing, nonperturbatively kicked out in diffraction
                •  
  
               

            • 31 - 39 : particles of subsequent subprocesses
              •  
  
                 
  
              • 31 : incoming
                •  
  
              • 32 : intermediate (intended to have preserved mass)
                •  
  
              • 33 : outgoing
                •  
  
              • 34 : incoming that has already scattered
                •  
  
               

            • 41 - 49 : particles produced by initial-state-showers
              •  
  
                 
  
              • 41 : incoming on spacelike main branch
                •  
  
              • 42 : incoming copy of recoiler
                •  
  
              • 43 : outgoing produced by a branching
                •  
  
              • 44 : outgoing shifted by a branching
                •  
  
              • 45 : incoming rescattered parton, with changed kinematics 
           owing to ISR in the mother system (cf. status 34)
                •  
  
              • 46 : incoming copy of recoiler when this is a rescattered 
           parton (cf. status 42)
                •  
  
              • 47 : a W or Z gauge boson produced in the 
           shower evolution
                •  
  
               

            • 51 - 59 : particles produced by final-state-showers
              •  
  
                 
  
              • 51 : outgoing produced by parton branching
                •  
  
              • 52 : outgoing copy of recoiler, with changed momentum
                •  
  
              • 53 : copy of recoiler when this is incoming parton, 
           with changed momentum
                •  
  
              • 54 : copy of a recoiler, when in the initial state of a 
           different system from the radiator
                •  
  
              • 55 : copy of a recoiler, when in the final state of a 
           different system from the radiator
                •  
  
              • 56 : a W or Z gauge boson produced in a 
           shower branching (special case of 51)
                •  
  
               

            • 61 - 69 : particles produced by beam-remnant treatment
              •  
  
                 
  
              • 61 : incoming subprocess particle with primordial kT 
           included
                •  
  
              • 62 : outgoing subprocess particle with primordial kT 
           included
                •  
  
              • 63 : outgoing beam remnant
                •  
  
               

            • 71 - 79 : partons in preparation of hadronization process
              •  
  
                 
  
              • 71 : copied partons to collect into contiguous colour singlet
                •  
  
              • 72 : copied recoiling singlet when ministring collapses to 
           one hadron and momentum has to be reshuffled
                •  
  
              • 73 : combination of very nearby partons into one
                •  
  
              • 74 : combination of two junction quarks (+ nearby gluons) 
           to a diquark
                •  
  
              • 75 : gluons split to decouple a junction-antijunction pair
                •  
  
              • 76 : partons with momentum shuffled to decouple a 
           junction-antijunction pair 
                •  
  
              • 77 : temporary opposing parton when fragmenting first two 
           strings in to junction (should disappear again)
                •  
  
              • 78 : temporary combined diquark end when fragmenting last 
           string in to junction (should disappear again)
                •  
  
               

            • 81 - 89 : primary hadrons produced by hadronization process
              •  
  
                 
  
              • 81 : from ministring into one hadron
                •  
  
              • 82 : from ministring into two hadrons
                •  
  
              • 83, 84 : from normal string (the difference between the two 
           is technical, whether fragmented off from the top of the 
           string system or from the bottom, useful for debug only)
                •  
  
              • 85, 86 : primary produced hadrons in junction fragmentation of 
           the first two string legs in to the junction, 
           in order of treatment
                •  
  
               

            • 91 - 99 : particles produced in decay process, or by Bose-Einstein 
  effects
              •  
  
                 
  
              • 91 : normal decay products
                •  
  
              • 92 : decay products after oscillation B0 ↔ B0bar or 
           B_s0 ↔ B_s0bar
                •  
  
              • 93, 94 : decay handled by external program, normally 
           or with oscillation
                •  
  
              • 99 : particles with momenta shifted by Bose-Einstein effects 
           (not a proper decay, but bookkept as an 1 → 1 such, 
           happening after decays of short-lived resonances but before 
           decays of longer-lived particles)
                •  
  
               

            • 101 - 109 : particles in the handling of R-hadron production and 
  decay, i.e. long-lived (or stable) particles containing a very heavy 
  flavour
              •  
  
                 
  
              • 101 : when a string system contains two such long-lived particles, 
            the system is split up by the production of a new q-qbar 
            pair (bookkept as decay chains that seemingly need not conserve 
            flavour etc., but do when considered together)
                •  
  
              • 102 : partons rearranged from the long-lived particle end to prepare 
            for fragmentation from this end
                •  
  
              • 103 : intermediate "half-R-hadron" formed when a colour octet particle 
            (like the gluino) has been fragmented on one side, but not yet on 
            the other
                •  
  
              • 104 : an R-hadron
                •  
  
              • 105 : partons or particles formed together with the R-hadron during 
            the fragmentation treatment
                •  
  
              • 106 : subdivision of an R-hadron into its flavour content, with 
           momentum split accordingly, in preparation of the decay of 
           the heavy new particle, if it is unstable
                •  
  
              • 107 : two temporary leftover gluons joined into one in the formation 
          of a gluino-gluon R-hadron.
                •  
  
               

            • 111 - 199 : reserved for future expansion
              •  

            • 201 - : free to be used by anybody
              •  

             

            Note: a clarification on the role of the "hardest" vs. the 
"subsequent" subprocesses, the 20'ies and 30'ies status code series, 
respectively. Most events contain exactly one "hardest" 
2 → n interaction, and then an arbitrary number of 
"subsequent" softer 2 → 2 ones generated by the 
MPI framework. In the SoftQCD:nonDiffractive event class 
also the "hardest" is generated by the MPI machinery, and can be 
arbitrarily soft, but still with 20'ies codes. Diffractive systems 
span a broad mass range, where the higher masses admit a perturbative 
description with "hard" and "subsequent" subprocesses, like for 
nondiffractive events. A double diffractive event can contain up to two 
such "hardest" interactions, one per diffractive system. A nonperturbative 
diffractive system does not contain any 2 → n subprocesses, 
but there is a kicked-out quark or gluon with status 24, combined with a 
beam remnant of one or two partons with status 63, that together define 
the mass and longitudinal axis of the diffractive system, for use in the 
subsequent hadronization. An event may also contain two 20'ies 
perturbative subcollisions if you use the 
";?>Second Hard Process 
generation machinery.
   
 


            int Particle::mother1()   
            
   
int Particle::mother2()   
            
the indices in the event record where the first and last mothers are 
stored, if any. There are six allowed combinations of mother1 
and mother2: 

               

            1. mother1 = mother2 = 0: for lines 0 - 2, where line 0 
represents the event as a whole, and 1 and 2 the two incoming 
beam particles; 
              2.  

            2. mother1 = mother2 > 0: the particle is a "carbon copy" 
of its mother, but with changed momentum as a "recoil"  effect, 
e.g. in a shower;
              3.  

            3. mother1 > 0, mother2 = 0: the "normal" mother case, where 
it is meaningful to speak of one single mother to several products, 
in a shower or decay;
              4.  

            4. mother1 < mother2, both > 0, for 
abs(status) = 81 - 86: primary hadrons produced from the 
fragmentation of a string spanning the range from mother1 
to mother2, so that all partons in this range should be 
considered mothers; and analogously for 
abs(status) = 101 - 106, the formation of R-hadrons;
              5.  

            5. mother1 < mother2, both > 0, except case 4: particles 
with two truly different mothers, in particular the particles emerging 
from a hard 2 → n interaction.
              6.  

            6. mother2 < mother1, both > 0: particles with two truly 
different mothers, notably for the special case that two nearby partons are 
joined together into a status 73 or 74 new parton, in the 
g + q → q case the q is made first mother 
to simplify flavour tracing.
              7.  

             

            Note 1: in backwards evolution of initial-state showers, 
the mother may well appear below the daughter in the event record. 

            Note 2: the motherList() method below returns 
a vector of all the mothers, providing a uniform representation for all 
six cases. 
   
 


            int Particle::daughter1()   
            
   
int Particle::daughter2()   
            
the indices in the event record where the first and last daughters 
are stored, if any. There are five allowed combinations of 
daughter1 and daughter2: 

               

            1. daughter1 = daughter2 = 0: there are no daughters 
(so far);
              2.  

            2. daughter1 = daughter2 > 0: the particle has a 
"carbon copy" as its sole daughter, but with changed momentum 
as a "recoil" effect, e.g. in a shower;
              3.  

            3. daughter1 > 0, daughter2 = 0: each of the incoming beams 
has only (at most) one daughter, namely the initiator parton of the 
hardest interaction; further, in a 2 → 1 hard interaction, 
like q qbar → Z^0, or in a clustering of two nearby partons, 
the initial partons only have this one daughter;
              4.  

            4. daughter1 < daughter2, both > 0: the particle has 
a range of decay products from daughter1 to 
daughter2;
              5.  
            5. daughter2 < daughter1, 
both > 0: the particle has two separately stored decay products (e.g. 
in backwards evolution of initial-state showers).
              6.  

             

            Note 1: in backwards evolution of initial-state showers, the 
daughters may well appear below the mother in the event record. 

            Note 2: the mother-daughter relation normally is reciprocal, 
but not always. An example is hadron beams (indices 1 and 2), where each 
beam remnant and the initiator of each multiparton interaction has the 
respective beam as mother, but the beam itself only has the initiator 
of the hardest interaction as daughter. 

            Note 3: the daughterList() method below 
returns a vector of all the daughters, providing a uniform representation 
for all five cases. With this method, also all the daughters of the beams 
are caught, with the initiators of the basic process given first,  while 
the rest are in no guaranteed order (since they are found by a scanning 
of the event record for particles with the beam as mother, with no further 
information). 
   
 


            int Particle::col()   
            
   
int Particle::acol()   
            
the colour and anticolour tags, Les Houches Accord [Boo01] 
style (starting from tag 101 by default, see below). 

            Note: in the preliminary implementation of colour sextets 
(exotic BSM particles) that exists since PYTHIA 8.150, a negative 
anticolour tag is interpreted as an additional positive colour tag, 
and vice versa. 
   
 


            double Particle::px()   
            
   
double Particle::py()   
            
   
double Particle::pz()   
            
   
double Particle::e()   
            
the particle four-momentum components. 
   
 


            Vec4 Particle::p()   
            
the particle four-momentum vector, with components as above. 
   
 


            double Particle::m()   
            
the particle mass, stored with a minus sign (times the absolute value) 
for spacelike virtual particles. 
   
 


            double Particle::scale()   
            
the scale at which a parton was produced, which can be used to restrict 
its radiation to lower scales in subsequent steps of the shower evolution. 
Note that scale is linear in momenta, not quadratic (i.e. Q, 
not Q^2). 
   
 


            double Particle::pol()   
            
the polarization/spin/helicity of a particle. Currently Pythia does not 
use this variable for any internal operations, so its meaning is not 
uniquely defined. The LHA standard sets SPINUP to be the 
cosine of the angle between the spin vector and the 3-momentum of the 
decaying particle in the lab frame, i.e. restricted to be between +1 
and -1. A more convenient choice could be the same quantity in the rest 
frame of the particle production, either the hard subprocess or the 
mother particle of a decay. Unknown or unpolarized particles should 
be assigned the value 9. 
   
 


            double Particle::xProd()   
            
   
double Particle::yProd()   
            
   
double Particle::zProd()   
            
   
double Particle::tProd()   
            
the production vertex coordinates, in mm or mm/c. 
   
 


            Vec4 Particle::vProd()   
            
The production vertex four-vector. Note that the components of a 
Vec4 are named px(), py(), pz() and e() 
which of course then should be reinterpreted as above. 
   
 


            double Particle::tau()   
            
the proper lifetime, in mm/c. It is assigned for all hadrons with 
positive nominal tau, tau_0 > 0, because it can be used 
by PYTHIA to decide whether a particle should or should not be allowed 
to decay, e.g. based on the decay vertex distance to the primary interaction 
vertex. 
   
 

            Input methods
             
 
The same method names as above are also overloaded in versions that 
set values. These have an input argument of the same type as the 
respective output above, and are of type void. 
 

             
There are also a few alternative methods for input: 
 


            void Particle::statusPos()   
            
   
void Particle::statusNeg()   
            
sets the status sign positive or negative, without changing the absolute 
value. 
   
 


            void Particle::statusCode(int code)   
            
changes the absolute value but retains the original sign. 
   
 


            void Particle::mothers(int mother1, int mother2)   
            
sets both mothers in one go. 
   
 


            void Particle::daughters(int daughter1, int daughter2)   
            
sets both daughters in one go. 
   
 


            void Particle::cols(int col, int acol)   
            
sets both colour and anticolour in one go. 
   
 


            void Particle::p(double px, double py, double pz, double e)   
            
sets the four-momentum components in one go. 
   
 


            void Particle::vProd(double xProd, double yProd, double zProd, double tProd)   
            
sets the production vertex components in one go. 
   
 

            Further output methods
             
 
In addition, a number of derived quantities can easily be obtained, 
but cannot be set, such as: 
 


            int Particle::idAbs()   
            
the absolute value of the particle identity code. 
   
 


            int Particle::statusAbs()   
            
the absolute value of the status code. 
   
 


            bool Particle::isFinal()   
            
true for a remaining particle, i.e. one with positive status code, 
else false. Thus, after an event has been fully generated, it 
separates the final-state particles from intermediate-stage ones. 
(If used earlier in the generation process, a particle then 
considered final may well decay later.) 
   
 


            bool Particle::isRescatteredIncoming()   
            
true for particles with a status code -34, -45, -46 or -54, else false. 
This singles out partons that have been created in a previous 
scattering but here are bookkept as belonging to the incoming state 
of another scattering. 
   
 


            bool Particle::hasVertex()   
            
production vertex has been set; if false then production at the origin 
is assumed. 
   
 


            double Particle::m2()   
            
squared mass, which can be negative for spacelike partons. 
   
 


            double Particle::mCalc()   
            
   
double Particle::m2Calc()   
            
(squared) mass calculated from the four-momentum; should agree 
with m(), m2() up to roundoff. Negative for spacelike 
virtualities. 
   
 


            double Particle::eCalc()   
            
energy calculated from the mass and three-momentum; should agree 
with e() up to roundoff. For spacelike partons a 
positive-energy  solution is picked. This need not be the correct 
one, so it is recommended not to use the method in such cases. 
   
 


            double Particle::pT()   
            
   
double Particle::pT2()   
            
(squared) transverse momentum. 
   
 


            double Particle::mT()   
            
   
double Particle::mT2()   
            
(squared) transverse mass. If m_T^2 is negative, which can happen 
for a spacelike parton, then mT() returns 
-sqrt(-m_T^2), by analogy with the negative sign used to store 
spacelike masses. 
   
 


            double Particle::pAbs()   
            
   
double Particle::pAbs2()   
            
(squared) three-momentum size. 
   
 


            double Particle::eT()   
            
   
double Particle::eT2()   
            
(squared) transverse energy, 
eT = e * sin(theta) = e * pT / pAbs. 
   
 


            double Particle::theta()   
            
   
double Particle::phi()   
            
polar and azimuthal angle. 
   
 


            double Particle::thetaXZ()   
            
angle in the (p_x, p_z) plane, between -pi and 
+pi, with 0 along the +z axis 
   
 


            double Particle::pPos()   
            
   
double Particle::pNeg()   
            
E +- p_z. 
   
 


            double Particle::y()   
            
   
double Particle::eta()   
            
rapidity and pseudorapidity. 
   
 


            double Particle::xDec()   
            
   
double Particle::yDec()   
            
   
double Particle::zDec()   
            
   
double Particle::tDec()   
            
   
Vec4 Particle::vDec()   
            
the decay vertex coordinates, in mm or mm/c. This decay vertex is 
calculated from the production vertex, the proper lifetime and the 
four-momentum assuming no magnetic field or other detector interference. 
It can be used to decide whether a decay should be performed or not, 
and thus is defined also for particles which PYTHIA did not let decay. 
   
 

             
Not part of the Particle class proper, but obviously tightly 
linked, are the two methods 
 


            double m(const Particle& pp1, const Particle& pp2)   
            
   
double m2(const Particle& pp1, const Particle& pp2)   
            
the (squared) invariant mass of two particles. 
   
 

            Properties of the particle species
             
 
Each Particle contains a pointer to the respective 
ParticleDataEntry object in the 
";?>particle data tables. 
This gives access to properties of the particle species as such. It is 
there mainly for convenience, and should be thrown if an event is 
written to disk, to avoid any problems of object persistency. Should 
an event later be read back in, the pointer will be recreated from the 
id code if the normal input methods are used. (Use the 
";?>Event::restorePtrs() method 
if your persistency scheme bypasses the normal methods.) This pointer is 
used by the following member functions: 
 


            string Particle::name()   
            
the name of the particle. 
   
 


            string Particle::nameWithStatus()   
            
as above, but for negative-status particles the name is given in 
brackets to emphasize that they are intermediaries. 
   
 


            int Particle::spinType()   
            
2 *spin + 1 when defined, else 0. 
   
 


            double Particle::charge()   
            
   
int Particle::chargeType()   
            
charge, and three times it to make an integer. 
   
 


            bool Particle::isCharged()   
            
   
bool Particle::isNeutral()   
            
charge different from or equal to 0. 
   
 


            int Particle::colType()   
            
0 for colour singlets, 1 for triplets, 
-1 for antitriplets and 2 for octets. (A preliminary implementation of 
colour sextets also exists, using 3 for sextets and -3 for antisextets.) 
   
 


            double Particle::m0()   
            
the nominal mass of the particle, according to the data tables. 
   
 


            double Particle::mWidth()   
            
   
double Particle::mMin()   
            
   
double Particle::mMax()   
            
the width of the particle, and the minimum and maximum allowed mass value 
for particles with a width, according to the data tables. 
   
 


            double Particle::mSel()   
            
the mass of the particle, picked according to a Breit-Wigner 
distribution for particles with width. It is different each time called, 
and is therefore only used once per particle to set its mass 
m(). 
   
 


            double Particle::constituentMass()   
            
will give the constituent masses for quarks and diquarks, 
else the same masses as with m0(). 
   
 


            double Particle::tau0()   
            
the nominal lifetime tau_0 > 0, in mm/c, of the particle species. 
It is used to assign the actual lifetime tau. 
   
 


            bool Particle::mayDecay()   
            
flag whether particle has been declared unstable or not, offering 
the main user switch to select which particle species to decay. 
   
 


            bool Particle::canDecay()   
            
flag whether decay modes have been declared for a particle, 
so that it could be decayed, should that be requested. 
   
 


            bool Particle::doExternalDecay()   
            
particles that are decayed by an external program. 
   
 


            bool Particle::isResonance()   
            
particles where the decay is to be treated as part of the hard process, 
typically with nominal mass above 20 GeV (W^+-, Z^0, t, ...). 
   
 


            bool Particle::isVisible()   
            
particles with strong or electric charge, or composed of ones having it, 
which thereby should be considered visible in a normal detector. 
   
 


            bool Particle::isLepton()   
            
true for a lepton or an antilepton (including neutrinos). 
   
 


            bool Particle::isQuark()   
            
true for a quark or an antiquark. 
   
 


            bool Particle::isGluon()   
            
true for a gluon. 
   
 


            bool Particle::isDiquark()   
            
true for a diquark or an antidiquark. 
   
 


            bool Particle::isParton()   
            
true for a gluon, a quark or antiquark up to the b (but excluding top), 
and a diquark or antidiquark consisting of quarks up to the b. 
   
 


            bool Particle::isHadron()   
            
true for a hadron (made up out of normal quarks and gluons, 
i.e. not for R-hadrons and other exotic states). 
   
 


            ParticleDataEntry& particleDataEntry()   
            
a reference to the ParticleDataEntry. 
   
 

            Methods that may access the event the particle belongs to
             
 
A particle can be created on its own. When inserted into an event record, 
it obtains a pointer to that event-as-a-whole. It is then possible to 
use methods that do not make sense for a particle in isolation. These 
methods are listed below. Whenever the pointer to the event is not 
defined, these will return an appropriate "null" value, this being -1 
for an integer, false for a bool, and empty for a vector, unless otherwise 
specified. 
 


            void Particle::index()   
            
the index of the particle itself in the event record. 
   
 


            int Particle::statusHepMC()   
            
returns the status code according to the HepMC conventions agreed in 
February 2009. This convention does not preserve the full information 
provided by the internal PYTHIA status code, as obtained by 
Particle::status(), but comes reasonably close. 
The allowed output values are: 

               

            • 0 : an empty entry, with no meaningful information and therefore 
to be skipped unconditionally;
              •  

            • 1 : a final-state particle, i.e. a particle that is not decayed 
further by the generator (may also include unstable particles that 
are to be decayed later, as part of the detector simulation);
              •  

            • 2 : a decayed Standard Model hadron or tau or mu lepton, excepting 
virtual intermediate states thereof (i.e. the particle must undergo 
a normal decay, not e.g. a shower branching);
              •  

            • 3 : a documentation entry (not used in PYTHIA);
              •  

            • 4 : an incoming beam particle;
              •  

            • 11 - 200 : an intermediate (decayed/branched/...) particle that does 
not fulfill the criteria of status code 2, with a generator-dependent 
classification of its nature; in PYTHIA the absolute value of the normal 
status code is used.
              •  

             

            Note: for a particle without a properly set pointer to its 
event, codes 1 and 4 can still be inferred from its status code, while 
everythg else is assigned code 0. 
   
 


            int Particle::iTopCopy()   
            
   
int Particle::iBotCopy()   
            
are used to trace carbon copies of the particle up to its top mother 
or down to its bottom daughter. If there are no such carbon copies, 
the index of the particle itself will be returned. A carbon copy is 
when the "same" particle appears several times in the event record, but 
with changed momentum owing to recoil effects. 
   
 


            int Particle::iTopCopyId()   
            
   
int Particle::iBotCopyId()   
            
also trace top mother and bottom daughter, but do not require carbon 
copies, only that one can find an unbroken chain, of mothers or daughters, 
with the same flavour id code. When it encounters ambiguities, 
say a g → g g branching or a u u → u u hard 
scattering, it will stop the tracing and return the current position. 
It can be confused by nontrivial flavour changes, e.g. a hard process 
u d → d u by W^+- exchange will give the wrong 
answer. These methods therefore are of limited use for common particles, 
in particular for the gluon, but should work well for "rare" particles. 
   
 


            vector<int> Particle::sisterList(bool traceTopBot = false)   
            
returns a vector of all the sister indices of the particle, i.e. all the 
daughters of the first mother, except the particle itself. If the argument 
traceTopBot = true the particle is first traced up with 
iTopCopy() before its mother is found, and then all the 
particles in the daughterList() of this mother are traced down 
with iBotCopy(), omitting the original particle itself. 
The method is not meaningful for the 0 entry, with status code -11, and 
there returns an empty list. 
   
 


            bool Particle::isAncestor(int iAncestor)   
            
traces the particle upwards through mother, grandmother, and so on, until 
either iAncestor is found or the top of the record is reached. 
Normally one unique mother is required, as is the case e.g. in decay chains 
or in parton showers, so that e.g. the tracing through a hard scattering 
would not work. For hadronization, first-rank hadrons are identified with 
the respective string endpoint quark, which may be useful e.g. for 
b physics, while higher-rank hadrons give false. 
Currently also ministrings that collapsed to one single hadron and 
junction topologies give false. 
   
 


            bool Particle::undoDecay()   
            
removes the decay chain of the particle and thus restores 
it to its undecayed state. It is only intended for "normal" particle 
decay chains, and will return false in other cases, notably if 
the particle is coloured. The procedure would not work if non-local 
momentum shifts have been performed, such as with a Bose-Einstein 
shift procedure (or for a dipole shower recoiler). As the decay products 
are erased from the event record, mother and daughter indices are 
updated to retain a correct history for the remaining particles. 
   
 

            Methods that perform operations
             
 
There are some further methods, some of them inherited from 
Vec4, to modify the properties of a particle. 
They are of little interest to the normal user. 
 


            void Particle::rescale3(double fac)   
            
multiply the three-momentum components by fac. 
   
 


            void Particle::rescale4(double fac)   
            
multiply the four-momentum components by fac. 
   
 


            void Particle::rescale5(double fac)   
            
multiply the four-momentum components and the mass by fac. 
   
 


            void Particle::rot(double theta, double phi)   
            
rotate three-momentum and production vertex by these polar and azimuthal 
angles. 
   
 


            void Particle::bst(double betaX, double betaY, double betaZ)   
            
boost four-momentum and production vertex by this three-vector. 
   
 


            void Particle::bst(double betaX, double betaY, double betaZ, double gamma)   
            
as above, but also input the gamma value, to reduce roundoff errors. 
   
 


            void Particle::bst(const Vec4& pBst)   
            
boost four-momentum and production vertex by 
beta = (px/e, py/e, pz/e). 
   
 


            void Particle::bst(const Vec4& pBst, double mBst)   
            
as above, but also use gamma> = e/m to reduce roundoff errors. 
   
 


            void Particle::bstback(const Vec4& pBst)   
            
   
void Particle::bstback(const Vec4& pBst, double mBst)   
            
as above, but with sign of boost flipped. 
   
 


            void Particle::rotbst(const RotBstMatrix& M)   
            
combined rotation and boost of the four-momentum and production vertex. 
   
 


            void Particle::offsetHistory( int minMother, int addMother, int minDaughter, int addDaughter))   
            
add a positive offset to the mother and daughter indices, i.e. 
if mother1 is above minMother then 
addMother is added to it, same with mother2, 
if daughter1 is above minDaughter then 
addDaughter is added to it, same with daughter2. 
   
 


            void Particle::offsetCol( int addCol)   
            
add a positive offset to colour indices, i.e. if col is 
positive then addCol is added to it, same with acol. 
   
 

            Constructors and operators
             
 
Normally a user would not need to create new particles. However, if 
necessary, the following constructors and methods may be of interest. 
 


            Particle::Particle()   
            
constructs an empty particle, i.e. where all properties have been set 0 
or equivalent. 
   
 


            Particle::Particle(int id, int status = 0, int mother1 = 0, int mother2 = 0, int daughter1 = 0, int daughter2 = 0, int col = 0, int acol = 0, double px = 0., double py = 0., double pz = 0., double e = 0., double m = 0., double scale = 0., double pol = 9.)   
            
constructs a particle with the input properties provided, and non-provided 
ones set 0 (9 for pol). 
   
 


            Particle::Particle(int id, int status, int mother1, int mother2, int daughter1, int daughter2, int col, int acol, Vec4 p, double m = 0., double scale = 0., double pol = 9.)   
            
constructs a particle with the input properties provided, and non-provided 
ones set 0 (9 for pol). 
   
 


            Particle::Particle(const Particle& pt)   
            
constructs an particle that is a copy of the input one. 
   
 


            Particle& Particle::operator=(const Particle& pt)   
            
copies the input particle. 
   
 


            void Particle::setEvtPtr(Event* evtPtr)   
            
sets the pointer to the Event object the particle 
belongs to. This method is automatically called when a particle 
is appended to an event record. Also calls setPDEPtr below. 
   
 


            void Particle::setPDEPtr(ParticleDataEntry* pdePtr = 0)   
            
sets the pointer to the ParticleDataEntry object of the 
particle, based on its current id code. If the particle 
belongs to an event there is no need to provide the input argument. 
As explained above, a valid ParticleDataEntry pointer 
is needed for the methods that provide information generic to the 
particle species. 
   
 


 
 
 
pythia8-8.1.86.orig/phpdoc/SemiInternalProcesses.php0000644000175000017500000010355212357553536020632 0ustar  sunsun

Semi-Internal Processes






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Semi-Internal Processes
             
 
Normally users are expected to implement new processes via the 
";?>Les Houches Accord. Then 
you do all flavour, colour and phase-space selection externally, 
before your process-level events are input for further processing 
by PYTHIA. However, it is also possible to implement a 
new process in exactly the same way as the internal PYTHIA 
ones, thus making use of the internal phase space selection machinery 
to sample an externally provided cross-section expression. 
The MadGraph 5 program [Alw11] allows you to do exactly that, 
i.e. it can be used to generate C++ code that can be linked into 
the existing PYTHIA framework, see 
";?>here. 
 

             
Should you decide to go ahead on your own, 
this page gives a brief summary how to do that. If you additionally 
want to introduce a new resonance species, with its own internal 
width calculations, you will find further instructions 
";?>here. It is strongly 
recommended to shop around for a similar process that has already 
been implemented, and to use that existing code as a template. 
Look for processes with the same combinations of incoming flavours 
and colour flows, rather than the shape of the cross section itself. 
With a reasonable such match the task should be of medium difficulty, 
without it more demanding. 
 

             
PYTHIA is rather good at handling the phase space of 
2 → 1 and 2 → 2 processes, is more primitive for 
2 → 3 ones and does not at all address higher multiplicities. 
This limits the set of processes that you can implement in this 
framework. The produced particles may be resonances, however, so it is 
possible to end up with bigger "final" multiplicities through sequential 
decays, and to include further matrix-element weighting in those decays. 
 

             
There are three steps involved in implementing a process: 

               

            1. making use of the PYTHIA-provided kinematics information to 
calculate the relevant cross section,
              2.  

            2. writing a new class,  where the matrix elements are implemented, 
including information on incoming and outgoing flavours and colours, 
and
              3.  

            3. making the process available.
              4.  

             
We consider these aspects in turn. An example where it all comes 
together is found in main22.cc. 
 

            The Cross Section Calculation
             
 
The key method for the cross section calculation is 
SigmaProcess::sigmaHat(), described below. At the point when 
it is called, the kinematics has already been set up, and from these 
phase space variables the differential cross section is to be calculated. 
 

             
For a 2 → 1 process, the returned value should be 
sigmaHat(sHat), where mH (= mHat), 
sH (= sHat) and sH2 (= sHat^2) 
are available to be used. Incoming partons are massless. Overload the 
convertM2() method below if you instead plan to return 
|M|^2. 
 

             
For a 2 → 2 process, instead d(sigmaHat)/d(tHat) 
should be returned, based on provided 
mH, sH, sH2, tH, tH2, uH, uH2, m3, s3, m4, s4 and 
pT2 values (s3 = m3*m3 etc.). Incoming 
partons are massless. Overload the convertM2() method 
below if you instead plan to return |M|^2. 
 

             
For a 2 → 3 process, instead |M|^2 should be 
returned, with normalization such that |M|^2 / (2 sHat) integrated 
over the three-body phase space gives the cross section. Here no standard 
set of Mandelstam-style variables exists. Instead the obvious ones, 
mH, sH, m3, s3, m4, s4, m5, s5, are complemented by the 
four-vectors p3cm, p4cm, p5cm, from which further invariants 
may be calculated. The four-vectors are defined in the CM frame of the 
subcollision, with massless incoming partons along the +-z axis. 
 

             
In either case, alpha_s and alpha_em have already 
been calculated, and are stored in alpS and alpEM. 
Also other standard variables may be used, like 
CoupEW::sin2thetaW(), and related flavour-dependent 
vector and axial couplings in CoupEW and CKM combinations 
in VCKM. 
 

             
In case some of the final-state particles are resonances, their 
squared masses have already been selected according to a Breit-Wigner 
with a linearly running width Gamma(m) = Gamma(m_0) * m / m_0. 
More precisely, the mass spectrum is weighted according to 
w_BW(m^2) d(m^2), where 

             
w_BW(m^2) = (1/pi) * (m * Gamma(m)) / ( (m^2 - m_0^2)^2 + (m * Gamma(m))^2 ) . 

             
If you would like to have another expression, the above weights are stored 
in runBW3, runBW4 and runBW5, 
respectively. If you divide out one of these factors, you just remain with 
a phase space selection d(m^2) for this particle, 
and can multiply on your desired shape factor instead. Unfortunately, the 
Monte Carlo efficiency will drop if your new mass distribution differs 
dramatically from the input one. Therefore it does make sense to adjust the 
database value of the width to be slightly (but not too much) broader 
than the distribution you have in mind. Also note that, already by default, 
the wings of the Breit-Wigner are oversampled (with a compensating lower 
internal weight) by partly sampling like (a + b/m^2 + c/m^4) d(m^2), 
where the last term is only used for gamma^*/Z^0. 
 

             
As alternative to the kinematics variables defined above, also the two 
arrays mME[5] and pME[5], for masses and 
four-momenta, respectively, can be used for cross-section calculations. 
Here indices 0 and 1 are the two incoming beams, and 2 and onwards the 
outgoing particles. Note that this differs by one step from the normal 
internal labeling, where slot 0 is left empty. The four-momenta are 
defined in the rest frame of the subcollision, with the incoming partons 
along the +-z direction. The kinematics need not agree with the 
"correct" one stored in the event record, for three reasons. 

            1) Gauge invariance forces matrix-element calculations to use 
the same masses for incoming as outgoing legs of a particle species, 
say b quarks. Therefore the kinematics of the two incoming 
partons is recalculated, relative to the normal event record, to put 
the partons on the mass shell. (Note that initial masses is a technical 
issue, not the correct physics picture: the incoming partons are likely 
to be spacelike virtual rather than on the mass shell.) 

            2) In principle each fermion flavour has to be treated separately, 
owing to a different mass. However, in many cases fermions can be 
assumed massless, which speeds up the calculations, and further gains 
occur if then different flavours can use the same cross-section 
expression. In MadGraph the default is that fermions up to and including 
the c quark and the mu lepton are considered massless, 
while the b quark and the tau lepton are considered 
massive. This can be modified however, and below we provide four flags 
that can be used to consider the "borderline" fermions either as 
massless or as massive when matrix elements are evaluated, to match the 
assumptions made for the matrix elements themselves. 

            3) For 2 → 2 and 2 → 3 processes of massive 
identical particles (or antiparticles) in the final state, such as 
t tbar or W^+ W^-, the kinematics is here adjusted 
so that the two or three particles have the same mass, formed as a 
suitable average of the actual Breit-Wigner-distributed masses. This 
allows the evaluation of matrix-element expressions that only have 
meaning if the two/three have the same mass. 

            Thus the mass array mME[5] and the four-momentum array 
pME[5] present values both for initial- and final-state 
particles based on these mass principles suited for matrix-element input. 
Note that these variables therefore differ from the kinematics stored in 
the event record proper, where incoming fermions are always massless and 
outgoing resonances have independent Breit-Wigner mass distributions. 

            The conversion from the normal to the special kinematics is done 
by calling the setupForME() method. This you have to do 
yourself in the SigmaHat() member of your derived class. 
Alternatively it could be done in SigmaKin(), i.e. before 
the loop over incoming flavours, but then these would be considered 
massless. The identity of final-state particles is obtained from the 
id3Mass(), id4Mass() and id5Mass() 
methods. Should the conversion to mME[5] and 
pME[5] not work, setupForME() will return 
false, and then the cross section should be put zero. 
 


            SigmaProcess:cMassiveME  On
Off
   (default = off)
            
Let the c quark be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 


            SigmaProcess:bMassiveME  On
Off
   (default = on)
            
Let the b quark be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 


            SigmaProcess:muMassiveME  On
Off
   (default = off)
            
Let the mu lepton be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 


            SigmaProcess:tauMassiveME  On
Off
   (default = on)
            
Let the tau lepton be massive or not in the kinematics set up for 
external matrix-element evaluation. 
   
 
 

            The Cross Section Class
             
 
The matrix-element information has to be encoded in a new class. 
The relevant code could either be put before the main program in the 
same file, or be stored separately, e.g. in a matched pair 
of .h and .cc files. The latter may be more 
convenient, in particular if the cross sections are lengthy, or if you 
intend to build up your own little process library, but of course 
requires that these additional files are correctly compiled and linked. 
 

             
The class has to be derived either from 
Sigma1Process, for 2 → 1 processes, from 
Sigma2Process, for 2 → 2 ones, or from 
Sigma3Process, for 2 → 3 ones. (The 
Sigma0Process class is used for elastic, diffractive 
and minimum-bias events, and is not recommended for use beyond that.) 
These are in their turn derived from the SigmaProcess 
base class. 
 

             
The class can implement a number of methods. Some of these are 
compulsory, others strongly recommended, and the rest are to be 
used only when the need arises to override the default behaviour. 
The methods are: 
 

             
A constructor for the derived class obviously must be available. 
Here you are quite free to allow a list of arguments, to set 
the parameters of your model, or even to create a set of closely 
related but distinct processes. For instance, g g → Q Qbar, 
Q = c or b, is only coded once, and then the 
constructor takes the quark code (4 or 5)  as argument, 
to allow the proper amount of differentiation. 
 

             
A destructor is only needed if you plan to delete the process 
before the natural end of the run, and require some special behaviour 
at that point. If you call such a destructor you will leave a pointer 
dangling inside the Pythia object you gave it in to, 
if that still exists. 
 


            void SigmaProcess::initProc()   
            
is called once during initialization, and can then be used to set up 
parameters, such as masses and couplings, and perform calculations 
that need not be repeated for each new event, thereby saving time. 
This method needs not be implemented, since in principle all 
calculations can be done in sigmaHat below. 
   
 


            void SigmaProcess::sigmaKin()   
            
is called once a kinematical configuration has been determined, but 
before the two incoming flavours are known. This routine can therefore 
be used to perform calculations that otherwise might have to be repeated 
over and over again in sigmaHat below. For instance 
a flavour-independent cross section calculation for a q g 
initial state would be repeated 20 times in sigmaHat, 
five times for the five quark flavours allowed in the incoming beams, 
times twice to include antiquarks, times twice since the (anti)quark 
could be in either of the two beams. You could therefore calculate the 
result once only and store it as a private data member of the class. 
It is optional whether you want to use this method, however, or put 
everything in sigmaHat. 
   
 


            double SigmaProcess::sigmaHat()   
            
is the key method for cross section calculations and returns a cross section 
value, as described in the previous section. It is called when also a 
preliminary set of incoming flavours has been picked, in addition to the 
kinematical ones already available for sigmaKin. 
Typically sigmaHat is called inside a loop over all allowed 
incoming flavour combinations, stored in id1 and 
id2, with fixed kinematics, as already illustrated above. 
The sum over the different flavour combinations provides the total 
cross section, while their relative size is used to make a selection of 
a specific incoming state. 
   
 


            bool SigmaProcess::setupForME()   
            
to be called by the user from inside sigmaHat() 
(or possibly sigmaKin()) to setup alternative kinematics 
in the mME[5] and pME[5] arrays, better 
suited for matrix-element calculations. See the end of the previous 
section for a more detailed description. Should the method return 
false then the conversion did not work, and 
sigmaHat() (or sigmaKin()) should be set to 
vanish. 
   
 


            void SigmaProcess::setIdColAcol()   
            
is called only once an initial state and a kinematical configuration has 
been picked. This routine must set the complete flavour information and 
the colour flow of the process. This may involve further random choices, 
between different possible final-state flavours or between possible 
competing colour flows. Private data members of the class may be used to 
retain some information from the previous steps above. 

            When this routine is called the two incoming flavours have already 
been selected and are available in id1 and id2, 
whereas the one, two or three outgoing ones either are fixed for a given 
process or can be determined from the instate (e.g. whether a W^+ 
or W^- was produced).  There is also a standard method in 
VCKM to pick a final flavour from an initial one with CKM 
mixing. Once you have figured out the value of 
id3 and, the case being, id4 and 
id5, you store these values permanently by a call 
setId( id1, id2, id3, id4, id5), where the last two may be 
omitted if irrelevant. 

            Correspondingly, the colours are stored with 
setColAcol( col1, acol1, col2, acol2, col3, acol3, col4, acol4, 
col5, acol5), where the final ones may be omitted if irrelevant. 
Les Houches style colour tags are used, but starting with number 1 
(and later shifted by the currently requested offset). The 
input is grouped particle by particle, with the colour index before the 
anticolour one. You may need to select colour flow dynamically, depending 
on the kinematics, when several distinct possibilities exist. Trivial 
operations, like swapping colours and anticolours, can be done with 
existing methods. 

            When the id3Mass() and id4Mass() 
methods have been used, the order of the outgoing particles may be 
inconsistent with the way the tHat and uHat 
variables have been defined. A typical example would be a process like 
q g → q' W with tHat defined between incoming and 
outgoing quark, but where id3Mass() = 24 and so the 
process is to be stored as q g → W q'. One should then put 
the variable swapTU = true in setIdColAcol() 
for each event where the tHat and uHat variables 
should be swapped before the event kinematics is reconstructed. This 
variable is automatically restored to false for each new 
event. 
   
 


            double SigmaProcess::weightDecayFlav( Event& process)   
            
is called to allow a reweighting of the simultaneous flavour choices of 
resonance decay products. Is currently only used for the 
q qbar → gamma*/Z^0 gamma*/Z^0 process, and will likely not 
be of interest for you. 
   
 


            double SigmaProcess::weightDecay( Event& process, int iResBeg, int iResEnd)   
            
is called when the basic process has one or several resonances, after each 
set of related resonances in process[i], 
iResBeg <= i  <= iResEnd, 
has been allowed to decay. The calculated weight, to be normalized 
to the range between 0 and 1, is used to decide whether to accept the 
decay(s) or try for a new decay configuration. The base-class version of 
this method returns unity, i.e. gives isotropic decays by default. 
This method may be called repeatedly for a single event. For instance, in 
q qbar → H^0 Z^0 with H^0 → W^+ W^-, a first call 
would be made after the H^0 and Z^0 decays, and then 
depend only on the Z^0 decay angles since the H^0 
decays isotropically. The second call would be after the W^+ W^- 
decays and then involve correlations between the four daughter fermions. 
   
 


            string SigmaProcess::name()   
            
returns the name of the process, as you want it to be shown in listings. 
   
 


            int SigmaProcess::code()   
            
returns an integer identifier of the process. This has no internal function, 
but is only intended as a service for the user to rapidly (and hopefully 
uniquely) identify which process occurred in a given event. Numbers below 
10000 are reserved for internal PYTHIA use. 
   
 


            string SigmaProcess::inFlux()   
            
this string specifies the combinations of incoming partons that are 
allowed for the process under consideration, and thereby which incoming 
flavours id1 and id2 the sigmaHat() 
calls will be looped over. It is always possible to pick a wider flavour 
selection than strictly required and then put to zero cross sections in 
the superfluous channels, but of course this may cost some extra execution 
time. Currently allowed options are: 

            * gg: two gluons. 

            * qg: one (anti)quark and one gluon. 

            * qq: any combination of two quarks, two antiquarks or 
a quark and an antiquark. 

            * qqbar: any combination of a quark and an antiquark; 
a subset of the qq option. 

            * qqbarSame: a quark and its antiquark; 
a subset of the qqbar option. 

            * ff: any combination of two fermions, two antifermions 
or a fermion and an antifermion; is the same as qq for 
hadron beams but also allows processes to work with lepton beams. 

            * ffbar: any combination of a fermion and an antifermion; 
is the same as qqbar for hadron beams but also allows processes 
to work with lepton beams. 

            * ffbarSame: a fermion and its antifermion; is the 
same as qqbarSame for hadron beams but also allows processes 
to work with lepton beams. 

            * ffbarChg: a fermion and an antifermion that combine 
to give charge +-1. 

            * fgm: a fermion and a photon (gamma). 

            * ggm: a gluon and a photon. 

            * gmgm: two photons. 
   
 


            bool SigmaProcess::convert2mb()   
            
it is assumed that cross sections normally come in dimensions such that 
they, when integrated over the relevant phase space, obtain the dimension 
GeV^-2, and therefore need to be converted to mb. If the cross section 
is already encoded as mb then convert2mb() should be 
overloaded to instead return false. 
   
 


            bool SigmaProcess::convertM2()   
            
it is assumed that 2 → 1 cross sections are encoded as 
sigmaHat(sHat), and 2 → 2 ones as 
d(sigmaHat)/d(tHat) in the SigmaProcess::sigmaHat() 
methods. If convertM2() is overloaded to instead return 
true then the return value is instead assumed to be the 
squared matrix element |M|^2, and 
SigmaProcess::sigmaHatWrap(...) converts to 
sigmaHat(sHat) or d(sigmaHat)/d(tHat), respectively. 
This switch has no effect on 2 → 3 processes, where 
|M|^2 is the only allowed input anyway. 
   
 


            int SigmaProcess::id3Mass()   
            
   
int SigmaProcess::id4Mass()   
            
   
int SigmaProcess::id5Mass()   
            
are the one, two or three final-state flavours, where masses are to be 
selected before the matrix elements are evaluated. Only the absolute value 
should be given. For massless particles, like gluons and photons, one need 
not give anything, i.e. one defaults to 0. The same goes for normal light 
quarks, where masses presumably are not implemented in the matrix elements. 
Later on, these quarks can still (automatically) obtain constituent masses, 
once a u, d or s flavour has been selected. 
   
 


            int SigmaProcess::resonanceA()   
            
   
int SigmaProcess::resonanceB()   
            
are the codes of up to two s-channel resonances contributing to 
the matrix elements. These are used by the program to improve the phase-space 
selection efficiency, by partly sampling according to the relevant 
Breit-Wigner distributions. Massless resonances (the gluon and photon) 
need not be specified. 
   
 


            bool SigmaProcess::isSChannel()   
            
normally the choice of renormalization and factorization scales in 
2 → 2 and 2 → 3 processes is based on the 
assumption that t- and u-channel exchanges dominates the 
cross section. In cases such as f fbar → gamma* → f' fbar' 
a 2 → 2 process actually ought to be given scales as a 
2 → 1 one, in the sense that it proceeds entirely through 
an s-channel resonance. This can be achieved if you override the 
default false to return true. See further the 
page on ";?>couplings and scales. 
   
 


            int SigmaProcess::idSChannel()   
            
normally no intermediate state is shown in the event record for 
2 → 2 and 2 → 3 processes. However, in case 
that idSChannel is overloaded to return a nonzero value, 
an intermediate particle with that identity code is inserted into the 
event record, to make it a 2 → 1 → 2 or 
2 → 1 → 3 
process. Thus if both isSChannel and idSChannel 
are overloaded, a process will behave and look like it proceeded through 
a resonance. The one difference is that the implementation of the 
matrix element is not based on the division into a production and a 
decay of an intermediate resonance, but is directly describing the 
transition from the initial to the final state. 
   
 


            int SigmaProcess::isQCD3body()   
            
there are two different 3-body phase-space selection machineries, 
of which the non-QCD one is default. If you overload this method 
instead the QCD-inspired machinery will be used. The differences 
between these two is related to which 
";?>phase space cuts 
can be set, and also that the QCD machinery assumes (almost) massless 
outgoing partons. 
   
 


            int SigmaProcess::idTchan1()   
            
   
int SigmaProcess::idTchan2()   
            
the non-QCD 2 → 3 phase space selection machinery is rather 
primitive, as already mentioned. The efficiency can be improved in 
processes that proceed though t-channel exchanges, such as 
q qbar' → H^0 q qbar' via Z^0 Z^0 fusion, if the 
identity of the  t-channel-exchanged particles on the two side 
of the event are provided. Only the absolute value is of interest. 
   
 


            double SigmaProcess::tChanFracPow1()   
            
   
double SigmaProcess::tChanFracPow2()   
            
in the above kind of 2 → 3 phase-space selection, the 
sampling of pT^2 is done with one part flat, one part weighted 
like 1 / (pT^2 + m_R^2) and one part  like 
1 / (pT^2 + m_R^2)^2. The above values provide the relative 
amount put in the latter two channels, respectively, with the first 
obtaining the rest. Thus the sum of tChanFracPow1() and 
tChanFracPow2() must be below unity. The final results 
should be independent of these numbers, but the Monte Carlo efficiency 
may be quite low for a bad choice. Here m_R is the mass of the 
exchanged resonance specified by idTchan1() or 
idTchan2(). Note that the order of the final-state 
listing is important in the above q qbar' → H^0 q qbar' example, 
i.e. the H^0 must be returned by id3Mass(), 
since it is actually the pT^2 of the latter two that are 
selected independently, with the first pT then fixed 
by transverse-momentum conservation. 
   
 


            bool SigmaProcess::useMirrorWeight()   
            
in 2 → 3 processes the phase space selection used here 
involves a twofold ambiguity basically corresponding to a flipping of 
the positions of last two outgoing particles. These are assumed equally 
likely by default, false, but for processes proceeding entirely 
through t-channel exchange the Monte Carlo efficiency can be 
improved by making a preselection based on the relative propagator 
weights, true. 
   
 


            int SigmaProcess::gmZmode()   
            
allows a possibility to override the global mode 
";?>WeakZ0:gmZmode 
for a specific process. The global mode normally is used to switch off 
parts of the gamma^*/Z^0 propagator for test purposes. The 
above local mode is useful for processes where a Z^0 really is 
that and nothing more, such as q qbar → H^0 Z^0. The default 
value -1 returned by gmZmode() ensures that the global 
mode is used, while 0 gives full gamma^*/Z^0 interference, 
1 gamma^* only and 2 Z^0 only. 
   
 

            Access to a process
             
 
Once you have implemented a class, it is straightforward to make use of 
it in a run. Assume you have written a new class MySigma, 
which inherits from Sigma1Process, Sigma2Process 
or Sigma3Process, which in their turn inherit from 
SigmaProcess. You then create an instance of this class 
and hand it in to a pythia object with 

             
      SigmaProcess* mySigma = new MySigma(); 
      pythia.setSigmaPtr( mySigma); 

             
If you have several processes you can repeat the procedure any number 
of times. When pythia.init(...) is called these processes 
are initialized along with any internal processes you may have switched on, 
and treated in exactly the same manner. The  pythia.next() 
will therefore generate a mix of the different kinds of processes without 
distinction. See also the ";?>Program Flow 
description. 
 

             
If the code should be of good quality and general usefulness, it would 
be simple to include it as a permanently available process in the 
standard program distribution. The final step of that integration ought to 
be left for the PYTHIA authors, but here is a description of what is 
required. 
  

             
A flag has to be defined, that allows the process to be switched on; 
by default it should always be off. The name of the flag should be 
chosen of the type model:process. Here the 
model would be related to the general scenario considered, 
e.g. Compositeness, while process would 
specify instate and outstate, separated by a 2 (= to), e.g. 
ug2u*g. 
When several processes are implemented and "belong together" it is 
also useful to define a model:all switch that affects 
all the separate processes. 
 

             
The flags should normally be stored in the ProcessSelection.xml 
file or one of its daughters for a specific kind of processes. This is to 
make them easily found by users. You could create and use your own 
.xml file, so long as you then add that name to the 
list of files in the Index.xml file. (If not, 
the flags would never be created and the program would not work.) 
 

             
In the ProcessContainer.c file, the 
SetupContainers::init() method needs to be expanded to 
create instances of the processes switched on. This code is fairly 
repetitive, and should be easy to copy and modify from the code 
already there. The basic structure is 

            (i) check whether a process is requested by the user and, if so, 

            (ii) create an instance of the matrix-element class, 

            (iii)create a container for the matrix element and its associated 
phase-space handling, and 

            (iv) add the container to the existing process list. 
 

             
Two minor variations are possible. One is that a set of related 
processes are lumped inside the the same initial check, i.e. are 
switched on all together. The second is that the matrix-element 
constructor may take arguments, as specified by you (see above). 
If so, the same basic matrix element may be recycled for a set of 
related processes, e.g. one for a composite u and one for 
a composite d. Obviously these variations may be combined. 
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/FourthGenerationProcesses.php0000644000175000017500000003365212357553536021526 0ustar  sunsun

Fourth-Generation Processes






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Fourth-Generation Processes
             
 
A fourth generation can be accommodated within the Standard Model, 
without the introduction of any new concepts. Many experimental 
constraints exist, but it has not been fully excluded. Therefore 
we offer a simple implementation, along the lines of the top. 
It could also be useful as a template for studies of other 
new particles with similar characteristics. 
 

             
The fourth generation are given names as in the third, but with a prime, 
i.e. b' with PDG code 7, t' with code 8, 
tau' with code 17, and nu'_tau with code 18. 
Most important for you is to assign a mass hierarchy, to decide which 
fermions can decay into which. The current implementation assumes that 
mass splittings are big enough that fourth-generation fermions can 
decay to third-generation ones by the emission of an on-shell W. 
To this end, the standard three-generation CKM mixing matrix has been 
extended to include a fourth generation, see below. Since no mixing has 
been implemented in the neutrino sector it would be assumed that the 
lighter of tau' and nu'_tau is stable. No decay modes 
have been implemented that go beyond the Standard Model, so 
modifications would be needed if e.g. also SUSY is included in the game. 
 

            Production processes
             
 

            1) b' processes
             
 
Different ways to produce b' quarks, singly or in pairs. 
For a b' t' pair see section 3 below. 
 


            FourthBottom:all  On
Off
   (default = off)
            
Common switch for the group of b' production. 
Also includes the process f fbar' → t' b'bar in section 3 below. 
   
 


            FourthBottom:gg2bPrimebPrimebar  On
Off
   (default = off)
            
Scatterings g g → b' b'bar. 
Code 801. 
   
 


            FourthBottom:qqbar2bPrimebPrimebar  On
Off
   (default = off)
            
Scatterings q qbar → b' b'bar by gluon exchange. 
Code 802. 
   
 


            FourthBottom:qq2bPrimeq(t:W)  On
Off
   (default = off)
            
Scatterings q q' → b' q'' by t-channel exchange 
of a W^+- boson. 
Code 803. 
   
 


            FourthBottom:ffbar2bPrimebPrimebar(s:gmZ)  On
Off
   (default = off)
            
Scatterings f fbar → b' b'bar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 804. 
   
 


            FourthBottom:ffbar2bPrimeqbar(s:W)  On
Off
   (default = off)
            
Scatterings f fbar' → b' qbar'' by s-channel exchange 
of a W^+- boson. Here q'' is either u or 
c. 
Code 805. 
   
 


            FourthBottom:ffbar2bPrimetbar(s:W)  On
Off
   (default = off)
            
Scatterings f fbar' → b' tbar by s-channel exchange 
of a W^+- boson. 
Code 806. 
   
 

            2) t' processes
             
 
Different ways to produce t' quarks, singly or in pairs. 
For a b' t' pair see section 3 below. 
 


            FourthTop:all  On
Off
   (default = off)
            
Common switch for the group of t' production. 
Also includes the process f fbar' → t' b'bar in section 3 below. 
   
 


            FourthTop:gg2tPrimetPrimebar  On
Off
   (default = off)
            
Scatterings g g → t' t'bar. 
Code 821. 
   
 


            FourthTop:qqbar2tPrimetPrimebar  On
Off
   (default = off)
            
Scatterings q qbar → t' t'bar by gluon exchange. 
Code 822. 
   
 


            FourthTop:qq2tPrimeq(t:W)  On
Off
   (default = off)
            
Scatterings q q' → t' q'' by t-channel exchange 
of a W^+- boson. 
Code 823. 
   
 


            FourthTop:ffbar2tPrimetPrimebar(s:gmZ)  On
Off
   (default = off)
            
Scatterings f fbar → t' t'bar by s-channel exchange 
of a gamma^*/Z^0 boson. 
Code 824. 
   
 


            FourthTop:ffbar2tPrimeqbar(s:W)  On
Off
   (default = off)
            
Scatterings f fbar' → t' qbar'' by s-channel exchange 
of a W^+- boson. 
Code 825. 
   
 

            3) Pair-processes with different flavours
             
  
Different ways to produce two different fourth-generation fermions. 
 


            FourthPair:ffbar2tPrimebPrimebar(s:W)  On
Off
   (default = off)
            
Scatterings f fbar' → t' b'bar by s-channel exchange 
of a W^+- boson. 
Code 841. 
   
 


            FourthPair:ffbar2tauPrimenuPrimebar(s:W)  On
Off
   (default = off)
            
Scatterings f fbar' → tau' nu'_taubar by s-channel 
exchange of a W^+- boson. 
Code 842. 
   
 

             
Missing in this list is scatterings q q' → t' b' by 
t-channel exchange of a W^+- boson, since currently 
the matrix element for such processes have not been implemented for 
two massive particles in the final state. Since this process would 
involve two CKM-suppressed vertices it ought to be small. 
 

            Parameters
             
 
The Cabibbo-Kobayashi-Maskawa matrix is extended by seven further values. 
So as not to mess up the Standard Model, the normal 3 * 3 matrix is 
kept unitary, and so the new off-diagonal elements lead to a slight 
breaking of this. For exploratory studies this should be good enough; 
more detailed 4 * 4 tunes to data would only make sense the day there 
are evidence for the existence of a fourth generation. 
 


            FourthGeneration:VubPrime      (default = 0.001; minimum = 0.0; maximum = 1.0)
            
The V_ub' matrix element in the 4 * 4 CKM matrix. 
   
 


            FourthGeneration:VcbPrime      (default = 0.01; minimum = 0.0; maximum = 1.0)
            
The V_cb' matrix element in the 4 * 4 CKM matrix. 
   
 


            FourthGeneration:VtbPrime      (default = 0.1; minimum = 0.0; maximum = 1.0)
            
The V_tb' matrix element in the 4 * 4 CKM matrix. 
   
 


            FourthGeneration:VtPrimed      (default = 0.001; minimum = 0.0; maximum = 1.0)
            
The V_t'd matrix element in the 4 * 4 CKM matrix. 
   
 


            FourthGeneration:VtPrimes      (default = 0.01; minimum = 0.0; maximum = 1.0)
            
The V_t's matrix element in the 4 * 4 CKM matrix. 
   
 


            FourthGeneration:VtPrimeb      (default = 0.1; minimum = 0.0; maximum = 1.0)
            
The V_t'b matrix element in the 4 * 4 CKM matrix. 
   
 


            FourthGeneration:VtPrimebPrime      (default = 0.99; minimum = 0.0; maximum = 1.0)
            
The V_t'b' matrix element in the 4 * 4 CKM matrix. 
   
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/LeptoquarkProcesses.php0000644000175000017500000001405612357553536020367 0ustar  sunsun

Leptoquark Processes






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Leptoquark Processes
             
 
Leptoquarks arise in many scenarios, and can have widely different 
characteristics, with respect to spin, isospin am d flavour. 
The current implementation in no sense attempts to exhaust these 
possibilities, but only to encode one of the simplest possibilities, 
with a single scalar leptoquark, denoted LQ and assigned PDG 
code 42. The leptoquark is assumed to carry specific quark 
and lepton quantum numbers, by default u quark plus electron. 
These flavour numbers are conserved, i.e. a process such as 
u e^- → LQ → d nu_e is not allowed. 
   

             
Although only one leptoquark is implemented, its flavours may be 
changed arbitrarily to study the different possibilities. The 
flavours of the leptoquark are defined by the quark and lepton 
flavours in the decay mode list. Therefore, to change from the 
current u e^- to c mu^+, say, you only need 
a line 

            pythia.readString("42:0:products = 4 -13"); 

            in your main program, or the equivalent in a command file. 
The former must always be a quark, while the latter could be a lepton 
or an antilepton; a charge-conjugate partner is automatically defined 
by the program. At initialization, the charge is recalculated as a 
function of the flavours defined; also the leptoquark name is redefined 
to be of the type LQ_q,l, where actual quark and lepton 
flavours are displayed. 
   

             
The leptoquark is likely to be fairly long-lived, in which case it 
could have time to fragment into a mesonic- or baryonic-type state, which 
would decay later on. Currently this possibility is not handled; therefore 
the leptoquark is always assumed to decay before fragmentation. 
For that reason the leptoquark can also not be put stable. 
 

            Production processes
             
 
Four production processes have been implemented, which normally would 
not overlap and therefore could be run together. 
 


            LeptoQuark:all  On
Off
   (default = off)
            
Common switch for the group of lowest-order LQ production 
processes, i.e. the four ones below. 
   
 


            LeptoQuark:ql2LQ  On
Off
   (default = off)
            
Scatterings q l → LQ. 
Code 3201. 
   
 


            LeptoQuark:qg2LQl  On
Off
   (default = off)
            
Scatterings q g → LQ l. 
Code 3202. 
   
 


            LeptoQuark:gg2LQLQbar  On
Off
   (default = off)
            
Scatterings g g → LQ LQbar. 
Code 3203. 
   
 


            LeptoQuark:qqbar2LQLQbar  On
Off
   (default = off)
            
Scatterings q qbar → LQ LQbar. 
Code 3204. 
   
 

            Parameters
             
 
In the above scenario the main free parameters are the leptoquark flavour 
content, set as already described, and the LQ mass, set as usual. 
In addition there is one further parameter. 
 


            LeptoQuark:kCoup      (default = 1.0; minimum = 0.0)
            
multiplicative factor in the LQ → q l squared Yukawa coupling, 
and thereby in the LQ width and the q l → LQ and 
other cross sections. Specifically, lambda^2/(4 pi) = k alpha_em, 
i.e. it corresponds to the $k$ factor of [Hew88]. 
   
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/ErrorChecks.php0000644000175000017500000001700312357553536016556 0ustar  sunsun

Error Checks






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Error Checks
             
 
There is a few settings related to error checking during program 
execution. Many other checks are performed as well, but do not 
have any specific setting related to themselves. 
 


            Check:abortIfVeto  On
Off
   (default = off)
            
There are a few ways in which an event can be vetoed, the most 
common being a ";?>User Hooks test. 
Normally this will simply mean that the next parton-level 
configuration is selected inside the Pythia::next() 
routine, without any need for a user intervention. With this 
option switched on, however, Pythia::next() will 
return false. It is then up to the user to decide 
what to do next. 
   
 


            Check:particleData  On
Off
   (default = off)
            
Check the particle data tables for potential problems during 
initialization. This includes inconsistent use of charge in particle 
names, inconsistent setup of mass, mass range, width and lifetime, 
sum of branching ratios not unity (allowed but discouraged) or charge 
not conserved in a decay channel. Warnings should be viewed as reasons 
to check further, but need not indicate a true problem, and also not all 
problems may be caught. 
The pythia.particleData.checkTable(level) method, 
used for these checks, may also be called directly. 
   
 


            Check:levelParticleData      (default = 1)
            
The level of verbosity and checks of particle data, if switched on. 

            
0 : minimal amount of checks, e.g. that no channels open.  
            
1 : further warning if individual channels closed,  except for resonances.
            
2 : also print branching-ratio-averaged threshold mass  except for resonances.
            
11 : as 1, but include resonances in detailed checks.  
            
12 : as 2, but include resonances in detailed checks.  
            
 


            Check:event  On
Off
   (default = on)
            
When an event has been successfully generated, check that the 
final event record in event does not contain any 
unphysical particles, or nonconserved charge or energy-momentum. 
If this check fails, then pythia.next() obtains the 
value false, i.e. the event is counted as aborted. 
   
 


            Check:history  On
Off
   (default = on)
            
When Check:event = on and the event is checked as above, 
further checks are made that all mother and daughter pointers are 
consistently set. Specifically that all daughters in the 
daughterlist (or motherList) have the 
particle in their respective motherList 
(or daughterlist). This operation takes a bit more 
time than the other error tests (of the order of 10% of what it takes 
to generate the event in the first place), and so could be switched off 
to save time. 
   
 
 


            Check:nErrList       (default = 0)
            
The number of erroneous events, in the above check, for which 
event listing and other detailed information will be printed. 
After that, only the normal error messages will be issued. 
Error counters are always updated, and accumulated numbers can be 
shown with pythia.statistics() at the end of the run. 
   
 


            Check:epTolErr      (default = 1e-4)
            
Maximum allowed summed deviation of E, p_x, 
p_y and p_z between the incoming beams and the 
final state, as a fraction of the initial energy, above which the 
event is counted as aborted. 
(Unfortunately roundoff errors do not scale linearly with the energy, 
and also have a very long tail. So while most events at lower energies 
may be correct to better than 1e-10, at LHC it does not have to signal 
any fundamental bug if also the default tolerance above is violated 
occasionally.) 
   
 


            Check:epTolWarn      (default = 1e-6)
            
A check on the same summed deviation as above, but counted as a 
warning rather than an error, and not leading to the event being 
classified as aborted. 
   
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/php.txt0000644000175000017500000000463712357054754015172 0ustar  sunsun";

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?>
pythia8-8.1.86.orig/phpdoc/BoseEinsteinEffects.php0000644000175000017500000002064512357553536020241 0ustar  sunsun

Bose-Einstein Effects






SETTINGS SAVED TO FILE

            "; }
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echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
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            Bose-Einstein Effects
             
 
The BoseEinstein class performs shifts of momenta 
of identical particles to provide a crude estimate of 
Bose-Einstein effects. The algorithm is the BE_32 one described in 
[Lon95], with a Gaussian parametrization of the enhancement. 
We emphasize that this approach is not based on any first-principles 
quantum mechanical description of interference phenomena; such 
approaches anyway have many problems to contend with. Instead a cruder 
but more robust approach is adopted, wherein BE effects are introduced 
after the event has already been generated, with the exception of the 
decays of long-lived particles. The trick is that momenta of identical 
particles are shifted relative to each other so as to provide an 
enhancement of pairs closely separated, which is compensated by a 
depletion of pairs in an intermediate region of separation. 
 

             
More precisely, the intended target form of the BE correlations in 
BE_32 is 

             
f_2(Q) = (1 + lambda * exp(-Q^2 R^2)) 
       * (1 + alpha * lambda * exp(-Q^2 R^2/9) * (1 - exp(-Q^2 R^2/4))) 

             
where Q^2 = (p_1 + p_2)^2 - (m_1 + m_2)^2. 
Here the strength lambda and effective radius R 
are the two main parameters. The first factor of the 
equation is implemented by pulling pairs of identical hadrons closer 
to each other. This is done in such a way that three-momentum is 
conserved, but at the price of a small but non-negligible negative 
shift in the energy of the event. The second factor compensates this 
by pushing particles apart. The negative alpha parameter is 
determined iteratively, separately for each event, so as to restore 
energy conservation. The effective radius parameter is here R/3, 
i.e. effects extend further out in Q. Without the dampening 
(1 - exp(-Q^2 R^2/4)) in the second factor the value at the 
origin would become f_2(0) = (1 + lambda) * (1 + alpha * lambda), 
with it the desired value f_2(0) = (1 + lambda) is restored. 
The end result can be viewed as a poor man's rendering of a rapidly 
dampened oscillatory behaviour in Q. 
 

             
Further details can be found in [Lon95]. For instance, the 
target is implemented under the assumption that the initial distribution 
in Q can be well approximated by pure phase space at small 
values, and implicitly generates higher-order effects by the way 
the algorithm is implemented. The algorithm is applied after the decay 
of short-lived resonances such as the rho, but before the decay 
of longer-lived particles. 
 

             
This algorithm is known to do a reasonable job of describing BE 
phenomena at LEP. It has not been tested against data for hadron 
colliders, to the best of our knowledge, so one should exercise some 
judgment before using it. Therefore by default the master switch 
";?>HadronLevel:BoseEinstein is off. 
Furthermore, the implementation found here is not (yet) as 
sophisticated as the one used at LEP2, in that no provision is made 
for particles from separate colour singlet systems, such as 
W's and Z's, interfering only at a reduced rate. 
 

             
Warning: The algorithm will create a new copy of each particle 
with shifted momentum by BE effects, with status code 99, while the 
original particle with the original momentum at the same time will be 
marked as decayed. This means that if you e.g. search for all 
pi+- in an event you will often obtain the same particle twice. 
One way to protect yourself from unwanted doublecounting is to 
use only particles with a positive status code, i.e. ones for which 
event[i].isFinal() is true. 
   
 

            Main parameters
             

Assuming you have set HadronLevel:BoseEinstein = on,
you can regulate the detailed behaviour with the following settings.
 


            BoseEinstein:Pion  On
Off
   (default = on)
            
Include effects or not for identical pi^+, pi^- 
and pi^0. 
   
 


            BoseEinstein:Kaon  On
Off
   (default = on)
            
Include effects or not for identical K^+, K^-, 
K_S^0 and K_L^0. 
   
 


            BoseEinstein:Eta  On
Off
   (default = on)
            
Include effects or not for identical eta and eta'. 
   
 


            BoseEinstein:lambda      (default = 1.; minimum = 0.; maximum = 2.)
            
The strength parameter for Bose-Einstein effects. On physical grounds 
it should not be above unity, but imperfections in the formalism 
used may require that nevertheless. 
   
 


            BoseEinstein:QRef      (default = 0.2; minimum = 0.05; maximum = 1.)
            
The size parameter of the region in Q space over which 
Bose-Einstein effects are significant.  Can be thought of as 
the inverse of an effective distance in normal space, 
R = hbar / QRef, with R as used in the above equation. 
That is, f_2(Q) = (1 + lambda * exp(-(Q/QRef)^2)) * (...). 
   
 


            BoseEinstein:widthSep      (default = 0.02; minimum = 0.001; maximum = 1.)
            
Particle species with a width above this value (in GeV) are assumed 
to be so short-lived that they decay before Bose-Einstein effects 
are considered, while otherwise they do not. In the former case the 
decay products thus can obtain shifted momenta, in the latter not. 
The default has been picked such that both rho and 
K^* decay products would be modified. 
   
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/MultipartonInteractions.php0000644000175000017500000010710112357553536021244 0ustar  sunsun

Multiparton Interactions






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Multiparton Interactions
             
 
The starting point for the multiparton interactions physics scenario in 
PYTHIA is provided by [Sjo87]. Recent developments have 
included a more careful study of flavour and colour correlations, 
junction topologies and the relationship to beam remnants 
[Sjo04], interleaving with initial-state radiation 
[Sjo05], making use of transverse-momentum-ordered 
initial- and final-state showers, with the extension to fully 
interleaved evolution covered in [Cor10a]. A framework to 
handle rescattering is described in [Cor09]. 
 

             
A big unsolved issue is how the colour of all these subsystems is 
correlated. For sure there is a correlation coming from the colour 
singlet nature of the incoming beams, but in addition final-state 
colour rearrangements may change the picture. Indeed such extra 
effects appear necessary to describe data, e.g. on 
<pT>(n_ch). A simple implementation of colour 
rearrangement is found as part of the 
";?>beam remnants description. 
 

            Main variables
             
 

            Matching to hard process
             
 
The maximum pT to be allowed for multiparton interactions is 
related to the nature of the hard process itself. It involves a 
delicate balance between not double-counting and not leaving any 
gaps in the coverage. The best procedure may depend on information 
only the user has: how the events were generated and mixed (e.g. with 
Les Houches Accord external input), and how they are intended to be 
used. Therefore a few options are available, with a sensible default 
behaviour. 


            MultipartonInteractions:pTmaxMatch      (default = 0; minimum = 0; maximum = 2)
            
Way in which the maximum scale for multiparton interactions is set 
to match the scale of the hard process itself. 

            
0 : (i) if the final state of the hard process  (not counting subsequent resonance decays) contains only quarks  (u, d, s, c, b), gluons and photons then pT_max  is chosen to be the factorization scale for internal processes  and the scale value for Les Houches input;  (ii) if not, interactions are allowed to go all the way up  to the kinematical limit.  The reasoning is that the former kind of processes are generated by  the multiparton-interactions machinery and so would double-count hard  processes if allowed to overlap the same pT range,  while no such danger exists in the latter case.  
            
1 : always use the factorization scale for an internal  process and the scale value for Les Houches input,  i.e. the lower value. This should avoid double-counting, but  may leave out some interactions that ought to have been simulated.  
            
2 : always allow multiparton interactions up to the  kinematical limit. This will simulate all possible event topologies,  but may lead to double-counting.  
            

            Note: If a "second hard" process is present, the two 
are analyzed separately for the default 0 option. It is enough that 
one of them only consists of quarks, gluons and photons to restrict 
the pT range. The maximum for MPI is then set by the hard 
interaction with lowest scale. 
 

            Cross-section parameters
             
 
The rate of interactions is determined by 


            MultipartonInteractions:alphaSvalue      (default = 0.127; minimum = 0.06; maximum = 0.25)
            
The value of alpha_strong at m_Z. Default value is 
picked equal to the one used in CTEQ 5L. 
   
 

             
The actual value is then regulated by the running to the scale 
pT^2, at which it is evaluated 


            MultipartonInteractions:alphaSorder      (default = 1; minimum = 0; maximum = 2)
            
The order at which alpha_strong runs at scales away from 
m_Z. 

            
0 : zeroth order, i.e. alpha_strong is kept  fixed.
            
1 : zeroth order, i.e. alpha_strong is kept  fixed.
            
2 : second order. Since other parts of the code do  not go to second order there is no strong reason to use this option,  but there is also nothing wrong with it.
            
 

             
QED interactions are regulated by the alpha_electromagnetic 
value at the pT^2 scale of an interaction. 
  


            MultipartonInteractions:alphaEMorder      (default = 1; minimum = -1; maximum = 1)
            
The running of alpha_em used in hard processes. 

            
1 : first-order running, constrained to agree with  StandardModel:alphaEMmZ at the Z^0 mass.  
            
0 : zeroth order, i.e. alpha_em is kept  fixed at its value at vanishing momentum transfer.
            
-1 : zeroth order, i.e. alpha_em is kept  fixed, but at StandardModel:alphaEMmZ, i.e. its value  at the Z^0 mass.  
            
 

             
Note that the choices of alpha_strong and alpha_em 
made here override the ones implemented in the normal process machinery, 
but only for the interactions generated by the 
MultipartonInteractions class. 
 

             
In addition there is the possibility of a global rescaling of 
cross sections (which could not easily be accommodated by a 
changed alpha_strong, since alpha_strong runs) 


            MultipartonInteractions:Kfactor      (default = 1.0; minimum = 0.5; maximum = 4.0)
            
Multiply all cross sections by this fix factor. 
   
 

             
The processes used to generate multiparton interactions form a subset 
of the standard library of hard processes. The input is slightly 
different from the standard hard-process machinery, however, 
since incoming flavours, the alpha_strong value and most 
of the kinematics are already fixed when the process is called. 
It is possible to regulate the set of processes that are included in the 
multiparton-interactions framework. 
 


            MultipartonInteractions:processLevel      (default = 3; minimum = 0; maximum = 3)
            
Set of processes included in the machinery. 

            
0 : only the simplest 2 → 2 QCD processes  between quarks and gluons, giving no new flavours, i.e. dominated by  t-channel gluon exchange.
            
1 : also 2 → 2 QCD processes giving new flavours  (including charm and bottom), i.e. proceeding through s-channel  gluon exchange.
            
2 : also 2 → 2 processes involving one or two  photons in the final state, s-channel gamma  boson exchange and t-channel gamma/Z^0/W^+-  boson exchange.
            
3 : also charmonium and bottomonium production, via  colour singlet and colour octet channels.
            
 

            Cross-section regularization
             
 
There are two complementary ways of regularizing the small-pT 
divergence, a sharp cutoff and a smooth dampening. These can be 
combined as desired, but it makes sense to coordinate with how the 
same issue is handled in ";?>spacelike 
showers. Actually, by default, the parameters defined here are 
used also for the spacelike showers, but this can be overridden. 
 

             
Regularization of the divergence of the QCD cross section for 
pT → 0 is obtained by a factor pT^4 / (pT0^2 + pT^2)^2, 
and by using an alpha_s(pT0^2 + pT^2). An energy dependence 
of the pT0 choice is introduced by two further parameters, 
so that pT0Ref is the pT0 value for the reference 
CM energy, pT0Ref = pT0(ecmRef). 

            Warning: if a large pT0 is picked for multiparton 
interactions, such that the integrated interaction cross section is 
below the nondiffractive inelastic one, this pT0 will 
automatically be scaled down to cope. 
 

             
The actual pT0 parameter used at a given CM energy scale, 
ecmNow, is obtained as 

             
     pT0 = pT0(ecmNow) = pT0Ref * (ecmNow / ecmRef)^ecmPow 

             
where pT0Ref, ecmRef and ecmPow are the 
three parameters below. 
 


            MultipartonInteractions:pT0Ref      (default = 2.15; minimum = 0.5; maximum = 10.0)
            
The pT0Ref scale in the above formula. 

            Note: pT0Ref is one of the key parameters in a 
complete PYTHIA tune. Its value is intimately tied to a number of other 
choices, such as that of colour flow description, so unfortunately it is 
difficult to give an independent meaning to pT0Ref. 
   
 


            MultipartonInteractions:ecmRef      (default = 1800.0; minimum = 1.)
            
The ecmRef reference energy scale introduced above. 
   
 


            MultipartonInteractions:ecmPow      (default = 0.24; minimum = 0.0; maximum = 0.5)
            
The ecmPow energy rescaling pace introduced above. 
   
 

             
Alternatively, or in combination, a sharp cut can be used. 


            MultipartonInteractions:pTmin      (default = 0.2; minimum = 0.1; maximum = 10.0)
            
Lower cutoff in pT, below which no further interactions 
are allowed. Normally pT0 above would be used to provide 
the main regularization of the cross section for pT → 0, 
in which case pTmin is used  mainly for technical reasons. 
It is possible, however, to set pT0Ref = 0 and use 
pTmin to provide a step-function regularization, or to 
combine them in intermediate approaches. Currently pTmin 
is taken to be energy-independent. 
   
 

             
Gösta Gustafson has proposed (private communication, unpublished) 
that the amount of screening, as encapsulated in the pT0 
parameter, fluctuates from one event to the next. Specifically, 
high-activity event are more likely to lead to interactions at large 
pT scales, but the high activity simultaneously leads to a 
larger screening of interactions at smaller pT. Such a scenario 
can approximately be simulated by scaling up the pT0 by a 
factor sqrt(n), where n is the number of interactions 
considered so far, including the current one. That is, for the first 
interaction the dampening factor is pT^4 / (pT0^2 + pT^2)^2, 
for the second pT^4 / (2 pT0^2 + pT^2)^2, for the third 
pT^4 / (3 pT0^2 + pT^2)^2, and so on. Optionally the scheme 
may also be applied to ISR emissions. For simplicity the same 
alpha_s(pT0^2 + pT^2) is used throughout. Note that, in this 
scenario the pT0 scale must be lower than in the normal case 
to begin with, since it later is increased back up. Also note that the 
idea with this scenario is to propose an alternative to colour 
reconnection to understand the rise of <pT>(n_ch), 
so that the amount of colour reconnection should be reduced. 


            MultipartonInteractions:enhanceScreening      (default = 0; minimum = 0; maximum = 2)
            
Choice to activate the above screening scenario, i.e. an increasing 
effective pT0 for consecutive interactions. 

            
0 : No activity-dependent screening, i.e. pT0  is fixed.
            
1 : The pT0 scale is increased as a function  of the number of MPI's, as explained above. ISR is not affected,  but note that, if SpaceShower:samePTasMPI is on,  then MultipartonInteractions:pT0Ref is used also for ISR,  which may or may not be desirable.   
            
2 : Both MPI and ISR influence and are influenced by the  screening. That is, the dampening is reduced based on the total number  of MPI and ISR steps considered so far, including the current one.  This dampening is implemented both for MPI and for ISR emissions,  for the latter provided that SpaceShower:samePTasMPI is on  (default).  
            
 

            Impact-parameter dependence
             
  
The choice of impact-parameter dependence is regulated by several 
parameters. The ones listed here refer to nondiffractive topologies 
only, while their equivalents for diffractive events are put in the 
";?>Diffraction description. Note that 
there is currently no bProfile = 4 option for diffraction. 
Other parameters are assumed to agree between diffractive and 
nondiffractive topologies. 
 


            MultipartonInteractions:bProfile      (default = 1; minimum = 0; maximum = 4)
            
Choice of impact parameter profile for the incoming hadron beams. 

            
0 : 
            
1 : a simple Gaussian matter distribution;  no free parameters.
            
2 : a double Gaussian matter distribution,  with the two free parameters coreRadius and  coreFraction.
            
3 : an overlap function, i.e. the convolution of  the matter distributions of the two incoming hadrons, of the form  exp(- b^expPow), where expPow is a free  parameter.
            
4 : a Gaussian matter distribution with a width  that varies according to the selected x value of an interaction,  1. + a1 log (1 / x), where a1 is a free parameter.  Note that once b has been selected for the hard process,  it remains fixed for the remainder of the evolution.  
            
 


            MultipartonInteractions:coreRadius      (default = 0.4; minimum = 0.1; maximum = 1.)
            
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a radius that is a factor 
coreRadius smaller than the rest. 
   
 


            MultipartonInteractions:coreFraction      (default = 0.5; minimum = 0.; maximum = 1.)
            
When assuming a double Gaussian matter profile, bProfile = 2, 
the inner core is assumed to have a fraction coreFraction 
of the matter content of the hadron. 
   
 


            MultipartonInteractions:expPow      (default = 1.; minimum = 0.4; maximum = 10.)
            
When bProfile = 3 it gives the power of the assumed overlap 
shape exp(- b^expPow). Default corresponds to a simple 
exponential drop, which is not too dissimilar from the overlap 
obtained with the standard double Gaussian parameters. For 
expPow = 2 we reduce to the simple Gaussian, bProfile = 1, 
and for expPow → infinity to no impact parameter dependence 
at all, bProfile = 0. For small expPow the program 
becomes slow and unstable, so the min limit must be respected. 
   
 


            MultipartonInteractions:a1      (default = 0.15; minimum = 0.; maximum = 2.)
            
When bProfile = 4, this gives the a1 constant in the 
Gaussian width. When a1 = 0., this reduces back to the single 
Gaussian case. 
   
 


            MultipartonInteractions:bSelScale      (default = 1; minimum = 1; maximum = 3)
            
The selection of impact parameter is related to the scale of the 
hard process: the harder this scale is, the more central the collision. 
In practice this centrality saturates quickly, however, and beyond 
a scale of roughly 20 GeV very little changes. (The relevant 
quantity is that the QCD jet cross section above the scale should be 
a tiny fraction of the total cross section.) In 2 → 1 and 
2 → 2 processes traditional scale choices work fine, but 
ambiguities arise for higher multiplicities, in particular when the 
scale is used for matching between the multiparton matrix elements 
and parton showers. Then the event scale may 
be chosen as that of a very low-pT parton, i.e. suggesting a 
peripheral collision, while the much harder other partons instead 
would favour a central collision. Therefore the default here is to 
override whatever scale value have been read in from an LHEF, say. 
Notice that the scale used here is decoupled from the maximum scale 
for MPIs (MultipartonInteractions:pTmaxMatch). 

            
1 :   Use the mass for a 2 → 1 process.  For 2 → n, n > 1 processes order the particles in  falling mmT = m + mT and then let the scale be  (mmT_1 + mmT_2)/2 + mmT_3/3 + mmT_4/4 + ... + mmT_n/n.  This is constructed always to be above m1, and to assign  decreasing importance to softer particles that are less likely to  be associated with the hard process.
            
2 : Use the scale parameter of the event.  
            
3 : use the same scale as chosen by the rules for  MultipartonInteractions:pTmaxMatch.
            
 

            Rescattering
             
  
It is possible that a parton may rescatter, i.e. undergo a further 
interaction subsequent to the first one. The machinery to model this 
kind of physics has only recently become fully operational 
[Cor09], and is therefore not yet so well explored. 
 

             
The rescattering framework has ties with other parts of the program, 
notably with the ";?>beam remnants. 
 


            MultipartonInteractions:allowRescatter  On
Off
   (default = off)
            
Switch to allow rescattering of partons; on/off = true/false.
             
Note: the rescattering framework has not yet been implemented 
for the MultipartonInteractions:bProfile = 4 option, 
and can therefore not be switched on in that case. 
Warning: use with caution since machinery is still not 
so well tested. 
   
 


            MultipartonInteractions:allowDoubleRescatter  On
Off
   (default = off)
            
Switch to allow rescattering of partons, where both incoming partons 
have already rescattered; on/off = true/false. Is only used if 
MultipartonInteractions:allowRescatter is switched on.
             
Warning: currently there is no complete implementation that 
combines it with shower evolution, so you must use 
PartonLevel:ISR = off and PartonLevel:FSR = off. 
If not, a warning will be issued and double rescattering will not be 
simulated. The rate also comes out to be much lower than for single 
rescattering, so to first approximation it can be neglected. 
   
 


            MultipartonInteractions:rescatterMode      (default = 0; minimum = 0; maximum = 4)
            
Selection of which partons rescatter against unscattered partons 
from the incoming beams A and B, based on their rapidity value 
y in the collision rest frame. Here ySep is 
shorthand for MultipartonInteractions:ySepRescatter and 
deltaY for MultipartonInteractions:deltaYRescatter, 
defined below. The description is symmetric between the two beams, 
so only one case is described below. 

            
0 : only scattered partons with y > 0  can collide with unscattered partons from beam B.
            
1 : only scattered partons with y > ySep  can collide with unscattered partons from beam B.
            
2 : the probability for a scattered parton to be considered  as a potential rescatterer against unscattered partons in beam B increases  linearly from zero at y = ySep - deltaY to unity at  y = ySep + deltaY.
            
3 : the probability for a scattered parton to be considered  as a potential rescatterer against unscattered partons in beam B increases  with y according to  (1/2) * (1 + tanh( (y - ySep) / deltaY)).
            
4 : all partons are potential rescatterers against both  beams.
            
 


            MultipartonInteractions:ySepRescatter      (default = 0.)
            
used for some of the MultipartonInteractions:rescatterMode 
options above, as the rapidity for which a scattered parton has a 50% 
probability to be considered as a potential rescatterer. 
A ySep > 0 generally implies that some central partons cannot 
rescatter at all, while a ySep < 0  instead allows central 
partons to scatter against either beam. 
   
 


            MultipartonInteractions:deltaYRescatter      (default = 1.; minimum = 0.1)
            
used for some of the MultipartonInteractions:rescatterMode 
options above, as the width of the rapidity transition region, where the 
probability rises from zero to unity that a scattered parton is considered 
as a potential rescatterer. 
   
 
 

            Further variables
             
 
These should normally not be touched. Their only function is for 
cross-checks. 
 


            MultipartonInteractions:nQuarkIn       (default = 5; minimum = 0; maximum = 5)
            
Number of allowed incoming quark flavours in the beams; a change 
to 4 would thus exclude b and bbar as incoming 
partons, etc. 
   
 


            MultipartonInteractions:nSample       (default = 1000; minimum = 100)
            
The allowed pT range is split (unevenly) into 100 bins, 
and in each of these the interaction cross section is evaluated in 
nSample random phase space points. The full integral is used 
at initialization, and the differential one during the run as a 
"Sudakov form factor" for the choice of the hardest interaction. 
A larger number implies increased accuracy of the calculations. 
   
 

            Technical notes
             
 
Relative to the articles mentioned above, not much has happened. 
The main news is a technical one, that the phase space of the 
2 → 2 (massless) QCD processes is now sampled in 
dy_3 dy_4 dpT^2, where y_3 and y_4 are 
the rapidities of the two produced partons. One can show that 

             
    (dx_1 / x_1) * (dx_2 / x_2) * d(tHat) = dy_3 * dy_4 * dpT^2 

             
Furthermore, since cross sections are dominated by the "Rutherford" 
one of t-channel gluon exchange, which is enhanced by a 
factor of 9/4 for each incoming gluon, effective structure functions 
are defined as 

             
    F(x, pT2) = (9/4) * xg(x, pT2) + sum_i xq_i(x, pT2) 

             
With this technical shift of factors 9/4 from cross sections to parton 
densities, a common upper estimate of 

             
    d(sigmaHat)/d(pT2) < pi * alpha_strong^2 / pT^4 

             
is obtained. 
 

             
In fact this estimate can be reduced by a factor of 1/2 for the 
following reason: for any configuration (y_3, y_4, pT2) also 
one with (y_4, y_3, pT2) lies in the phase space. Not both 
of those can enjoy being enhanced by the tHat → 0 
singularity of 

             
    d(sigmaHat) propto 1/tHat^2. 

             
Or if they are, which is possible with identical partons like 
q q → q q and g g → g g, each singularity comes 
with half the strength. So, when integrating/averaging over the two 
configurations, the estimated d(sigmaHat)/d(pT2) drops. 
Actually, it drops even further, since the naive estimate above is 
based on 

             
    (4 /9) * (1 + (uHat/sHat)^2) < 8/9 < 1 

             
The 8/9 value would be approached for tHat → 0, which 
implies sHat >> pT2 and thus a heavy parton-distribution 
penalty, while parton distributions are largest for 
tHat = uHat = -sHat/2, where the above expression 
evaluates to 5/9. A fudge factor is therefore introduced to go the 
final step, so it can easily be modified when further non-Rutherford 
processes are added, or should parton distributions change significantly. 
 

             
At initialization, it is assumed that 

             
    d(sigma)/d(pT2) < d(sigmaHat)/d(pT2) * F(x_T, pT2) * F(x_T, pT2) 
       * (2 y_max(pT))^2 

             
where the first factor is the upper estimate as above, the second two 
the parton density sum evaluated at y_3 = y_ 4 = 0 so that 
x_1 = x_2 = x_T = 2 pT / E_cm, where the product is expected 
to be maximal, and the final is the phase space for 
-y_max < y_{3,4} < y_max. 
The right-hand side expression is scanned logarithmically in y, 
and a N is determined such that it always is below 
N/pT^4. 
 

             
To describe the dampening of the cross section at pT → 0 by 
colour screening, the actual cross section is multiplied by a 
regularization factor (pT^2 / (pT^2 + pT0^2))^2, and the 
alpha_s is evaluated at a scale pT^2 + pT0^2, 
where pT0 is a free parameter of the order of 2 - 4 GeV. 
Since pT0 can be energy-dependent,  an ansatz 

             
    pT0(ecm) = pT0Ref * (ecm/ecmRef)^ecmPow 

             
is used, where ecm is the current CM frame energy, 
ecmRef is an arbitrary reference energy where pT0Ref 
is defined, and ecmPow gives the energy rescaling pace. For 
technical reasons, also an absolute lower pT scale pTmin, 
by default 0.2 GeV, is introduced. In principle, it is possible to 
recover older scenarios with a sharp pT cutoff by setting 
pT0 = 0 and letting pTmin be a larger number. 
 

             
The above scanning strategy is then slightly modified: instead of 
an upper estimate N/pT^4 one of the form 
N/(pT^2 + r * pT0^2)^2 is used. At first glance, r = 1 
would seem to be fixed by the form of the regularization procedure, 
but this does not take into account the nontrivial dependence on 
alpha_s, parton distributions and phase space. A better 
Monte Carlo efficiency is obtained for r somewhat below unity, 
and currently r = 0.25 is hardcoded. 
 
In the generation a trial pT2 is then selected according to 

             
    d(Prob)/d(pT2) = (1/sigma_ND) * N/(pT^2 + r * pT0^2)^2 * ("Sudakov") 

             
For the trial pT2, a y_3 and a y_4 are then 
selected, and incoming flavours according to the respective 
F(x_i, pT2), and then the cross section is evaluated for this 
flavour combination. The ratio of trial/upper estimate gives the 
probability of survival. 
 

             
Actually, to profit from the factor 1/2 mentioned above, the cross 
section for the combination with y_3 and y_4 
interchanged is also tried, which corresponds to exchanging tHat 
and uHat, and the average formed, while the final kinematics 
is given by the relative importance of the two. 
 

             
Furthermore, since large y values are disfavoured by dropping 
PDF's, a factor 

             
   WT_y = (1 - (y_3/y_max)^2) * (1 - (y_4/y_max)^2) 

             
is evaluated, and used as a survival probability before the more 
time-consuming PDF+ME evaluation, with surviving events given a 
compensating weight 1/WT_y. 
 

             
An impact-parameter dependence is also allowed. Based on the hard 
pT scale of the first interaction, and enhancement/depletion 
factor is picked, which multiplies the rate of subsequent interactions. 
 

             
Parton densities are rescaled and modified to take into account the 
energy-momentum and flavours kicked out by already-considered 
interactions. 
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/BeamParameters.php0000644000175000017500000005464312357553536017247 0ustar  sunsun

Beam Parameters






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Beam Parameters
             
 
The settings on this page relate to the beam identities and energies, 
to a beam momentum spread and to a beam interaction spot. 
As always, momenta and energies are to be given in units of GeV, 
and of space and time in mm. 
 

            Incoming beams
             
 
There are two ways to set the identities and energies of the two incoming 
beam particles. One is to use the init() method with no 
arguments. Then the settings variables below will be read and used. The 
alternative is to call ";?>init(...) 
with arguments that provide this information. Then you need not use the 
variables below (although it would still be possible). Note that, if nothing 
is done, you will default to LHC at 14 TeV. 
 

             
Currently the beam particles must be either a hadron pair or a lepton 
pair. In the former category p p and pbar p 
combinations dominate, but it is also possible to combine with 
pi^+, pi^- and pi^0. In the latter 
e^+ e^- and mu^+ mu^- would be the most useful 
combinations, but also others should work if combined with an 
appropriate hard process. 
 


            Beams:idA       (default = 2212)
            
The PDG id code for the first incoming particle. 
Allowed codes include 

            2212 = p, -2212 = pbar, 

            2112 = n, -2112 = nbar, 

            211 = pi^+, -211 = pi^-, 111 = pi^0, 

            990 = Pomeron (used in diffractive machinery; 
here mainly for debug purposes), 

            11 = e^-, -11 = e^+, 

            13 = mu^-, -13 = mu^+, 

            and a few more leptons/neutrinos in a few combinations. 
   
 


            Beams:idB       (default = 2212)
            
The PDG id code for the second incoming particle. 
   
  


            Beams:frameType      (default = 1; minimum = 1; maximum = 5)
            
Choice of frame for the two colliding particles. For options 
1 - 3 the beam identities are specified above, while they are 
obtained by the Les Houches information for options 4 and 5. 

            
1 : the beams are colliding in their CM frame,  and therefore only the CM energy needs to be provided, see  Beams:eCM below.  
            
2 : the beams are back-to-back, but with different energies,  see Beams:eA and Beams:eB below.  This option could also be used for fixed-target configurations.  
            
3 : the beams are not back-to-back, and therefore the  three-momentum of each incoming particle needs to be specified, see  Beams:pxA through Beams:pzB below.  
            
4 : the beam and event information is stored in a  Les Houches Event File,  see Beams:LHEF below.  
            
5 : the beam and event information is obtained by a  pointer to an LHAup  class instance.  
            
 


            Beams:eCM      (default = 14000.; minimum = 10.)
            
Collision CM energy, to be set if Beams:frameType = 1. 
   
 


            Beams:eA      (default = 7000.; minimum = 0.)
            
The energy of the first incoming particle, moving in the 
+z direction, to be set if Beams:frameType = 2. 
If the particle energy is smaller than its mass 
it is assumed to be at rest. 
   
 


            Beams:eB      (default = 7000.; minimum = 0.)
            
The energy of the second incoming particle, moving in the 
-z direction, to be set if Beams:frameType = 2. 
If the particle energy is smaller than its mass 
it is assumed to be at rest. 
   
 


            Beams:pxA      (default = 0.)
            
The p_x component of the first incoming particle, 
to be set if Beams:frameType = 3. 
   
 


            Beams:pyA      (default = 0.)
            
The p_y component of the first incoming particle, 
to be set if Beams:frameType = 3. 
   
 


            Beams:pzA      (default = 7000.)
            
The p_z component of the first incoming particle, 
to be set if Beams:frameType = 3. 
   
 


            Beams:pxB      (default = 0.)
            
The p_x component of the second incoming particle, 
to be set if Beams:frameType = 3. 
   
 


            Beams:pyB      (default = 0.)
            
The p_y component of the second incoming particle, 
to be set if Beams:frameType = 3. 
   
 


            Beams:pzB      (default = -7000.)
            
The p_z component of the second incoming particle, 
to be set if Beams:frameType = 3. 
   
 


            Beams:LHEF       (default = void)
            
The name of a Les Houches Event File, 
to be set if Beams:frameType = 4. 
   
 


            Beams:LHEFheader       (default = void)
            
As some information in a Les Houches Event File init block is only known 
at the end of generation, some programs choose to output this as a 
separate file. If Beams:LHEFheader is given, information up 
till the end of the init block is read from this file, with 
the events themselves read as usual from the file given in 
Beams:LHEF. 
   
 


            Beams:newLHEFsameInit  On
Off
   (default = off)
            
Allow to begin reading events from a new LHEF or or a new 
LHAup instance without a completely new initialization. 
Only useful when Beams:frameType = 4 or 5. 
   
 


            Beams:readLHEFheaders  On
Off
   (default = on)
            
Read in LHEF header blocks and store them in the 
";?>Info class. See also 
";?>LHAupLHEF for more information. 
   
 

            mode   Beams:nSkipLHEFatInit   
 (default = 0)
            
Skip the first nSkip events of the input stream 
(cf. the LHAup::skipEvent(nSkip) method). 
Only used when Beams:frameType = 4 or 5. 
   
 

            Beam momentum spread
             
 
This framework currently is intended for a modest beam spread, such as 
experienced at hadron colliders. Thus it can be safely assumed that the 
physics does not change over the CM energy range probed, so that the 
parameters of the physics initialization at the nominal energy can be 
used as is. Currently it can not be used for the more extensive 
energy spread expected at linear e^+ e^- colliders. Also, 
any attempt to combine it with external Les Houches input of 
parton-level events is at own risk. 
      

             
On this page you can set the momentum spread according to a simple 
Gaussian distribution. If you instead want a more sophisticated 
parametrization, you can write and link your own 
";?>BeamShape class. 
 


            Beams:allowMomentumSpread  On
Off
   (default = off)
            
Allow the beam momenta to be smeared around their initialization 
nominal values. 
   
 


            Beams:sigmaPxA      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the p_x spread of the 
first incoming particle. 
   
 


            Beams:sigmaPyA      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the p_y spread of the 
first incoming particle. 
   
 


            Beams:sigmaPzA      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the p_z spread of the 
first incoming particle. 
   
 


            Beams:maxDevA      (default = 5.; minimum = 0.)
            
The triply Gaussian distribution (p_x, p_y, p_z) is restricted to 
a maximal total deviation from the nominal values (p_x0, p_y0, p_z0) 
for the first incoming particle, like 

             
(p_x - p_x0)^2/sigma_px^2 + (p_y - p_y0)^2/sigma_py^2 + 
(p_z - p_z0)^2/sigma_pz^2 < maxDev^2 

             
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (p_x, p_y, p_z).) 
   
 


            Beams:sigmaPxB      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the p_x spread of the 
second incoming particle. 
   
 


            Beams:sigmaPyB      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the p_y spread of the 
second incoming particle. 
   
 


            Beams:sigmaPzB      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the p_z spread of the 
second incoming particle. 
   
 


            Beams:maxDevB      (default = 5.; minimum = 0.)
            
The triply Gaussian distribution (p_x, p_y, p_z) is restricted to 
a maximal total deviation from the nominal values (p_x0, p_y0, p_z0), 
for the second incoming particle, like 

             
(p_x - p_x0)^2/sigma_px^2 + (p_y - p_y0)^2/sigma_py^2 + 
(p_z - p_z0)^2/sigma_pz^2 < maxDev^2 

             
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (p_x, p_y, p_z).) 
   
 

            Beam interaction vertex
             
 
On this page you can set the spread of the interaction vertex according to 
a simple Gaussian distribution. If you instead want a more sophisticated 
parametrization, you can write and link your own 
";?>BeamShape class. 
 


            Beams:allowVertexSpread  On
Off
   (default = off)
            
Allow the interaction vertex of the two colliding beams to be smeared. 
If off, then the vertex is set to be the origin. 
   
 


            Beams:sigmaVertexX      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the x location of the 
interaction vertex. 
   
 


            Beams:sigmaVertexY      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the y location of the 
interaction vertex. 
   
 


            Beams:sigmaVertexZ      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the z location of the 
interaction vertex. 
   
 


            Beams:maxDevVertex      (default = 5.; minimum = 0.)
            
The triply Gaussian distribution of interaction vertex position 
(x, y, z) is restricted to a maximal total deviation from the 
origin, like 

             
x^2/sigma_x^2 + y^2/sigma_y^2 + z^2/sigma_z^2 < maxDevVertex^2 

             
(Note the absence of a factor 2 in the denominator, unlike the Gaussians 
used to pick (x, y, z).) 
   
 


            Beams:sigmaTime      (default = 0.; minimum = 0.)
            
The width of a Gaussian distribution of the collision time (in units of 
mm/c). Note that, if the above space parametrization is viewed as the 
effect of two incoming beams along the +-z axis, with each beam 
having a Gaussian spread, then the spread of the time would also become 
a Gaussian with the same width as the z one (times the 
velocity of the beams, which we expect is close to unity). For flexibility 
we have not enforced any such relation, however. 
   
 


            Beams:maxDevTime      (default = 5.; minimum = 0.)
            
The collision time is restricted to be in the range 
|t| < sigma_t * maxDevTime. 
   
 

             
The distributions above are all centered at the origin. It is also 
possible to shift the above distributions to be centered around another 
nominal position. You must have Beams:allowVertexSpread = on 
to use this possibility. 
 


            Beams:offsetVertexX      (default = 0.)
            
The x location of the interaction vertex is centered at this value. 
   
 


            Beams:offsetVertexY      (default = 0.)
            
The y location of the interaction vertex is centered at this value. 
   
 


            Beams:offsetVertexZ      (default = 0.)
            
The z location of the interaction vertex is centered at this value. 
   
 


            Beams:offsetTime      (default = 0.)
            
The time t of the interaction vertex is centered at this value. 
   
 


"?>


            

            




 
 
pythia8-8.1.86.orig/phpdoc/RHadrons.php0000644000175000017500000002525712357553536016076 0ustar  sunsun

R-hadrons






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            R-hadrons
             
 
When a coloured SUSY particle is longer-lived than typical 
hadronization scales, i.e. around c*tau > 1 fm, or equivalently 
width Gamma < 0.2 GeV, it will have time to hadronize into a colour 
singlet hadronic state, a R-hadron. Currently a set of such 
R-hadrons have been implemented for the case of a long-lived 
gluino, stop or sbottom. Needless to say, the normal case would be 
that only one of them will be long-lived enough to form R-hadrons. 
 

             
For simplicity all gluino-mesons are assumed to have light-flavour 
spin 1, since those are the lightest and favoured by spin-state 
counting. Further, all gluino-baryons are bookkept as having 
light-flavour spin 3/2, and flavours are listed in descending order. 
This is more for convenience of notation, however, since the normal 
baryon octet e.g. has no uuu = "p++" state. When a diquark is 
extracted, a mixture of spin 0 and spin 1 is allowed. Names and codes 
are essentially in agreement with the PDG conventions, e.g. 

            1000993 R0(~g g) (or gluinoball) 

            1009213 R+(~g u dbar) (or gluino-rho+) 

            1092214 R+(~g uud) (or gluino-Delta+) 

            For internal bookkeeping of momenta, the code 1009002, 
Rtemp(~g q), is used to denote the intermediate 
state formed when only one of the two string pieces attached to 
the gluino has broken. 
 

             
For the stop- and sbottom-hadrons the spin counting is simpler, 
since it is entirely given by the constituent quark or diquark spin. 
Again names and codes follow PDG conventions, e.g. 

            1000612 R+(~t dbar) 

            1006211 R+(~t ud0) 
 

             
The spin and electromagnetic charge of the new particle plays only 
a minor role in the hadronization process, that can be neglected 
to first approximation. Therefore it is possible to use the same 
R-hadrons framework instead for other BSM scenarios with long-lived 
coloured particles, e.g. with massive extra-dimensions copies 
of gluons and quarks, or with leptoquarks. This can be regulated by 
the switches below. Note that the codes and names of the R-hadrons 
is not changed when the heavy particle involved is switched, for 
reasons of administrative simplicity. R-hadron mass spectra and 
other relevant particle data is automatically updated to reflect 
the change, however. 
 


            RHadrons:allow  On
Off
   (default = off)
            
Allows the gluino, stop and sbottom to hadronize if their respective 
widths are below the limit RHadrons:maxWidth. 
   
 


            RHadrons:maxWidth      (default = 0.2; minimum = 0.0; maximum = 1.0)
            
The maximum width of the gluino for which it is possible to form 
R-hadrons, provided that RHadrons:allow is on. 
   
 

            mode   RHadrons:idGluino   
 (default = 1000021)
            
The gluino identity code. For other scenarios than SUSY this code 
could be changed to represent another long-lived uncharged colour 
octet particle, that then would be treated in the same spirit. 
Could be set to 0 to forbid any gluino R-hadron formation even when 
the above two criteria, RHadrons:allow 
and RHadrons:maxWidth, are met. 
   
 

            mode   RHadrons:idStop   
 (default = 1000006)
            
The lightest stop identity code. For other scenarios than SUSY this 
code could be changed to represent another long-lived charge 2/3 
colour triplet particle, that then would be treated in the same 
spirit. As above it could be set to 0 to forbid any stop R-hadron 
formation. 
   
 

            mode   RHadrons:idSbottom   
 (default = 1000005)
            
The lightest sbottom identity code. For other scenarios than SUSY this 
code could be changed to represent another long-lived charge -1/3 
colour triplet particle, that then would be treated in the same 
spirit. As above it could be set to 0 to forbid any sbottom R-hadron 
formation. 
   
 


            RHadrons:allowDecay  On
Off
   (default = on)
            
Allows the R-hadrons to decay or not. If the gluino/stop/sbottom is 
stable or too long-lived to decay inside the detector this switch 
has no real function, since then no decays will be performed anyway. 
If the sparticle is so short-lived that it decays before reaching 
the beam pipe then having the decay on is the logical choice. 
So the interesting region is when the decays happens after the 
R-hadron has passed through part of the detector, and changed its 
momentum and quite possibly its flavour content before it is to 
decay. Then normal decays should be switched off, and the R-hadron 
tracked through matter by a program like GEANT 
[Kra04,Mac07]. After that, the new R-hadron info can be 
overwritten into the event record and the 
Pythia::forceRHadronDecay() method can be called 
to force this modified R-hadron to decay. 
   
 


            RHadrons:setMasses  On
Off
   (default = on)
            
Use simple mass formulae to construct all available R-hadron masses 
based on the currently initialized gluino/squark masses and the 
constituent masses of the other partons in the hadron. If you switch 
this off, it is your responsibility to set each of the R-hadron masses 
on your own, and set them in an internally consistent way. If you 
mess up on this you may generate accordingly crazy results. 
Specifically, it is to be assumed that none of the R-hadrons has a 
mass below its constituent sparticle, i.e. that the light degrees 
of freedom and the additional confinement gluon field gives a net 
positive contribution to the R-hadron mass. 
   
 


            RHadrons:probGluinoball      (default = 0.1; minimum = 0.0; maximum = 1.0)
            
The fraction of produced gluino R-hadrons that are contain a "valence" 
gluon, with the rest containing a meson or baryon quark flavour content. 
   
 


            RHadrons:mOffsetCloud      (default = 0.2; minimum = 0.0)
            
Extra mass (in GeV) added to each of the one or two extra constituent 
masses in an R-hadron, to calculate the mass of a R-hadron. The same 
offset is also used when the R-hadron momentum and mass is split 
between the squark or gluino and the one or two light (di)quarks, 
one for a squark and two for a gluino. Thus once or twice this amount 
represents a part of the nominal squark or gluino mass that will not 
decay weakly, since it is taken to correspond to the cloud of gluons 
that surround the squark or gluino. 
   
 


            RHadrons:mCollapse      (default = 1.0; minimum = 0.0)
            
A colour singlet system with an invariant mass less than this amount, 
above the R-hadron mass with the given flavour content, is assumed to 
collapse to this single R-hadron, whereas a full fragmentation handling 
is applied above this mass. 
   
 


            RHadrons:diquarkSpin1      (default = 0.5; minimum = 0.0; maximum = 1.0)
            
Probability that a diquark extracted from the flavour code of a gluino 
R-hadron should be assigned spin 1, with the rest being spin 0. Does 
not apply for two identical quarks, where spin 1 is only possibility. 
Note that gluino R-hadron codes for simplicity are assigned as if spin 
is 1 always, and so give no guidance. For stop and sbottom the diquark 
spin is preserved in the particle code, so there is no corresponding 
issue. 
   
 


"?>


            

            




 
 
 
pythia8-8.1.86.orig/phpdoc/Fragmentation.php0000644000175000017500000006443312357553536017153 0ustar  sunsun

Fragmentation






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


            
 

            Fragmentation
             
 
Fragmentation in PYTHIA is based on the Lund string model 
[And83, Sjo84]. Several different aspects are involved in 
the physics description, which  here therefore is split accordingly. 
This also, at least partly, reflect the set of classes involved in 
the fragmentation machinery. 
 

             
The variables collected here have a very wide span of usefulness. 
Some would be central in any hadronization tuning exercise, others 
should not be touched except by experts. 
 

             
The fragmentation flavour-choice machinery is also used in a few 
other places of the program, notably particle decays, and is thus 
described on the separate ";?>Flavour 
Selection page. 
 

            Fragmentation functions
             
 
The StringZ class handles the choice of longitudinal 
lightcone fraction z according to one of two possible 
shape sets. 
 

             
The Lund symmetric fragmentation function [And83] is the 
only alternative for light quarks. It is of the form 

             
    f(z) = (1/z) * (1-z)^a * exp(-b m_T^2 / z) 

             
with the two main free parameters a and b to be 
tuned to data. They are stored in 
 


            StringZ:aLund      (default = 0.3; minimum = 0.0; maximum = 2.0)
            
The a parameter of the Lund symmetric fragmentation function. 
   
 


            StringZ:bLund      (default = 0.8; minimum = 0.2; maximum = 2.0)
            
The b parameter of the Lund symmetric fragmentation function. 
   
 

             
In principle, each flavour can have a different a. Then, 
for going from an old flavour i to a new j one 
the shape is 

             
    f(z) = (1/z) * z^{a_i} * ((1-z)/z)^{a_j} * exp(-b * m_T^2 / z) 

             
This is only implemented for s quarks and diquarks relative to normal quarks: 
 


            StringZ:aExtraSQuark      (default = 0.0; minimum = 0.0; maximum = 2.0)
            
allows a larger a for s quarks, with total 
a = aLund + aExtraSQuark. 
   
 


            StringZ:aExtraDiquark      (default = 0.5; minimum = 0.0; maximum = 2.0)
            
allows a larger a for diquarks, with total 
a = aLund + aExtraDiquark. 
   
 

             
Finally, the Bowler modification [Bow81] introduces an extra 
factor 

             
    1/z^{r_Q * b * m_Q^2} 

             
for heavy quarks. To keep some flexibility, a multiplicative factor 
r_Q is introduced, which ought to be unity (provided that 
quark masses were uniquely defined) but can be set in 
 


            StringZ:rFactC      (default = 1.0; minimum = 0.0; maximum = 2.0)
            
r_c, i.e. the above parameter for c quarks. 
   
 


            StringZ:rFactB      (default = 0.67; minimum = 0.0; maximum = 2.0)
            
r_b, i.e. the above parameter for b quarks. 
   
 


            StringZ:rFactH      (default = 1.0; minimum = 0.0; maximum = 2.0)
            
r_h, i.e. the above parameter for heavier hypothetical quarks, 
or in general any new coloured particle long-lived enough to hadronize. 
   
 

             
Within the string framework, the b parameter is universal, 
i.e. common for all flavours. Nevertheless, for fits to experimental 
data, better agreement can be obtained if both a_Q and 
b_Q can be set freely in a general expression 

             
    f(z) = 1/z^{1 + r_Q * b_Q * m_Q^2} * (1-z)^a_Q * exp(-b_Q m_T^2 / z) 

             
The below switches and values can be used to achieve this. They should 
be used with caution and constitute clear deviations from the Lund 
philosophy. 
 


            StringZ:useNonstandardC  On
Off
   (default = off)
            
use the above nonstandard Lund ansatz for c quarks. 
   
 


            StringZ:useNonstandardB  On
Off
   (default = off)
            
use the above nonstandard Lund ansatz for b quarks. 
   
 


            StringZ:useNonstandardH  On
Off
   (default = off)
            
use the above nonstandard Lund ansatz for hypothetical heavier quarks. 
   
 


            StringZ:aNonstandardC      (default = 0.3; minimum = 0.0; maximum = 2.0)
            
The a parameter in the nonstandard Lund ansatz for 
 c quarks. 
   
 


            StringZ:aNonstandardB      (default = 0.3; minimum = 0.0; maximum = 2.0)
            
The a parameter in the nonstandard Lund ansatz for 
 b quarks. 
   
 


            StringZ:aNonstandardH      (default = 0.3; minimum = 0.0; maximum = 2.0)
            
The a parameter in the nonstandard Lund ansatz for 
hypothetical heavier quarks. 
   
 


            StringZ:bNonstandardC      (default = 0.8; minimum = 0.2; maximum = 2.0)
            
The b parameter in the nonstandard Lund ansatz for 
c quarks. 
   
 


            StringZ:bNonstandardB      (default = 0.8; minimum = 0.2; maximum = 2.0)
            
The b parameter in the nonstandard Lund ansatz for 
b quarks. 
   
 


            StringZ:bNonstandardH      (default = 0.8; minimum = 0.2; maximum = 2.0)
            
The b parameter in the nonstandard Lund ansatz for 
hypothetical heavier quarks. 
   
 

             
As another nonstandard alternative, it is possible to switch over to the 
Peterson/SLAC formula [Pet83] 

             
     f(z) = 1 / ( z * (1 - 1/z - epsilon/(1-z))^2 ) 

             
for charm, bottom and heavier (defined as above) by the three flags 
 


            StringZ:usePetersonC  On
Off
   (default = off)
            
use Peterson for c quarks. 
   
 


            StringZ:usePetersonB  On
Off
   (default = off)
            
use Peterson for b quarks. 
   
 


            StringZ:usePetersonH  On
Off
   (default = off)
            
use Peterson for hypothetical heavier quarks. 
   
 

             
When switched on, the corresponding epsilon values are chosen to be 
 


            StringZ:epsilonC      (default = 0.05; minimum = 0.01; maximum = 0.25)
            
epsilon_c, i.e. the above parameter for c quarks. 
   
 


            StringZ:epsilonB      (default = 0.005; minimum = 0.001; maximum = 0.025)
            
epsilon_b, i.e. the above parameter for b quarks. 
   
 


            StringZ:epsilonH      (default = 0.005; minimum = 0.0001; maximum = 0.25)
            
epsilon_h, i.e. the above parameter for hypothetical heavier 
quarks, normalized to the case where m_h = m_b. The actually 
used parameter is then epsilon = epsilon_h * (m_b^2 / m_h^2). 
This allows a sensible scaling to a particle with an unknown higher 
mass without the need for a user intervention. 
   
 

            Fragmentation pT
             
 
The StringPT class handles the choice of fragmentation 
pT. At each string breaking the quark and antiquark of the pair are 
supposed to receive opposite and compensating pT kicks according 
to a Gaussian distribution in p_x and p_y separately. 
Call sigma_q the width of the p_x and p_y 
distributions separately, i.e. 

             
    d(Prob) = exp( -(p_x^2 + p_y^2) / 2 sigma_q^2). 

             
Then the total squared width is 

             
    <pT^2> = <p_x^2> +  <p_y^2> = 2 sigma_q^2 = sigma^2. 

             
It is this latter number that is stored in 
 


            StringPT:sigma      (default = 0.304; minimum = 0.0; maximum = 1.0)
            
the width sigma in the fragmentation process. 
   
 

             
Since a normal hadron receives pT contributions for two string 
breakings, it has a <p_x^2>_had = <p_y^2>_had = sigma^2, 
and thus <pT^2>_had = 2 sigma^2. 
 

             
Some studies on isolated particles at LEP has indicated the need for 
a slightly enhanced rate in the high-pT tail of the above 
distribution. This would have to be reviewed in the context of a 
complete retune of parton showers and hadronization, but for the 
moment we stay with the current recipe, to boost the above pT 
by a factor enhancedWidth for a small fraction 
enhancedFraction of the breakups, where 
 


            StringPT:enhancedFraction      (default = 0.01; minimum = 0.0; maximum = 1.)
            
enhancedFraction,the fraction of string breaks with enhanced 
width. 
   
 


            StringPT:enhancedWidth      (default = 2.0; minimum = 1.0; maximum = 10.0)
            
enhancedWidth,the enhancement of the width in this fraction. 
   
 

            Jet joining procedure
             
 
String fragmentation is carried out iteratively from both string ends 
inwards, which means that the two chains of hadrons have to be joined up 
somewhere in the middle of the event. This joining is described by 
parameters that in principle follows from the standard fragmentation 
parameters, but in a way too complicated to parametrize. The dependence 
is rather mild, however, so for a sensible range of variation the 
parameters in this section should not be touched. 
 


            StringFragmentation:stopMass      (default = 1.0; minimum = 0.0; maximum = 2.0)
            
Is used to define a W_min = m_q1 + m_q2 + stopMass, 
where m_q1 and m_q2 are the masses of the two 
current endpoint quarks or diquarks. 
   
 


            StringFragmentation:stopNewFlav      (default = 2.0; minimum = 0.0; maximum = 2.0)
            
Add to W_min an amount stopNewFlav * m_q_last, 
where q_last is the last q qbar pair produced 
between the final two hadrons. 
   
 


            StringFragmentation:stopSmear      (default = 0.2; minimum = 0.0; maximum = 0.5)
            
The W_min above is then smeared uniformly in the range 
W_min_smeared = W_min * [ 1 - stopSmear, 1 + stopSmear ]. 
   
 

             
This W_min_smeared is then compared with the current remaining 
W_transverse to determine if there is energy left for further 
particle production. If not, i.e. if 
W_transverse < W_min_smeared, the final two particles are 
produced from what is currently left, if possible. (If not, the 
fragmentation process is started over.) 
 

            Simplifying systems
             
 
There are a few situations when it is meaningful to simplify the 
original task, one way or another. 
 


            HadronLevel:mStringMin      (default = 1.; minimum = 0.5; maximum = 1.5)
            
Decides whether a partonic system should be considered as a normal 
string or a ministring, the latter only producing one or two primary 
hadrons. The system mass should be above mStringMin plus the 
sum of quark/diquark constituent masses for a normal string description, 
else the ministring scenario is used. 
   
 


            FragmentationSystems:mJoin      (default = 0.3; minimum = 0.2; maximum = 1.)
            
When two colour-connected partons are very nearby, with at least 
one being a gluon, they can be joined into one, to avoid technical 
problems of very small string regions. The requirement for joining is 
that the invariant mass of the pair is below mJoin, where a 
gluon only counts with half its momentum, i.e. with its contribution 
to the string region under consideration. (Note that, for technical 
reasons, the 0.2 GeV lower limit is de facto hardcoded.) 
   
 


            FragmentationSystems:mJoinJunction      (default = 1.0; minimum = 0.5; maximum = 2.)
            
When the invariant mass of two of the quarks in a three-quark junction 
string system becomes too small, the system is simplified to a 
quark-diquark simple string. The requirement for this simplification 
is that the diquark mass, minus the two quark masses, falls below 
mJoinJunction. Gluons on the string between the junction and 
the respective quark, if any, are counted as part of the quark 
four-momentum. Those on the two combined legs are clustered with the 
diquark when it is formed. 
   
 

            Ministrings
             
 
The MiniStringFragmentation machinery is only used when a 
string system has so small invariant mass that normal string fragmentation 
is difficult/impossible. Instead one or two particles are produced, 
in the former case shuffling energy-momentum relative to another 
colour singlet system in the event, while preserving the invariant 
mass of that system. With one exception parameters are the same as 
defined for normal string fragmentation, to the extent that they are 
at all applicable in this case. 
 
A discussion of the relevant physics is found in [Nor00]. 
The current implementation does not completely abide to the scheme 
presented there, however, but has in part been simplified. (In part 
for greater clarity, in part since the class is not quite finished yet.) 
 


            MiniStringFragmentation:nTry       (default = 2; minimum = 1; maximum = 10)
            
Whenever the machinery is called, first this many attempts are made 
to pick two hadrons that the system fragments to. If the hadrons are 
too massive the attempt will fail, but a new subsequent try could 
involve other flavour and hadrons and thus still succeed. 
After nTry attempts, instead an attempt is made to produce a 
single hadron from the system. Should also this fail, some further 
attempts at obtaining two hadrons will be made before eventually 
giving up. 
   
 

            Junction treatment
             
 
A junction topology corresponds to an Y arrangement of strings 
i.e. where three string pieces have to be joined up in a junction. 
Such topologies can arise if several valence quarks are kicked out 
from a proton beam, or in baryon-number-violating SUSY decays. 
Special attention is necessary to handle the region just around 
the junction, where the baryon number topologically is located. 
The junction fragmentation scheme is described in [Sjo03]. 
The parameters in this section should not be touched except by experts. 
 


            StringFragmentation:eNormJunction      (default = 2.0; minimum = 0.5; maximum = 10)
            
Used to find the effective rest frame of the junction, which is 
complicated when the three string legs may contain additional 
gluons between the junction and the endpoint. To this end, 
a pull is defined as a weighed sum of the momenta on each leg, 
where the weight is exp(- eSum / eNormJunction), with 
eSum the summed energy of all partons closer to the junction 
than the currently considered one (in the junction rest frame). 
Should in principle be (close to) sqrt((1 + a) / b), with 
a and b the parameters of the Lund symmetric 
fragmentation function. 
   
 


            StringFragmentation:eBothLeftJunction      (default = 1.0; minimum = 0.5)
            
Retry (up to 10 times) when the first two considered strings in to a 
junction both have a remaining energy (in the junction rest frame) 
above this number. 
   
 


            StringFragmentation:eMaxLeftJunction      (default = 10.0; minimum = 0.)
            
Retry (up to 10 times) when the first two considered strings in to a 
junction has a highest remaining energy (in the junction rest frame) 
above a random energy evenly distributed between 
eBothLeftJunction and 
eBothLeftJunction + eMaxLeftJunction 
(drawn anew for each test). 
   
 


            StringFragmentation:eMinLeftJunction      (default = 0.2; minimum = 0.)
            
Retry (up to 10 times) when the invariant mass-squared of the final leg 
and the leftover momentum of the first two treated legs falls below 
eMinLeftJunction times the energy of the final leg (in the 
junction rest frame). 
   
 


"?>


            

            




 
 
 
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Jet Finders






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            Jet Finders
             
 
Pythia comes with three ";?>built-in 
jet finders, ClusterJet for e^+e^- events 
and SlowJet and CellJetfor hadron collider ones. 
Especially the latter is not so well matched to the standards of its field, 
however. (But it is closely related to the anti-kT algorithm, 
so is also not completely disconnected [Cac08].) 
 

             
SlowJet can do jet finding according to the current-day 
kT, Cambridge/Aachen and anti-kT algorithms. 
It can be run in two modes. The original one is a native implementation 
which, as the name indicates, is rather slow. However, with the release 
of the fjcore code from FastJet 
[Cac06, Cac12], the default mode has become to use the 
fjcore methods. This is transparent to the user. 
 

            FastJet
             
 
SlowJet does not exhaust all the posssibilities of the 
fjcore code, so users are welcome to extend on the existing 
functionality by a direct usage of the fjcore methods. 
 

             
Missing from fjcore is a number of aspects, such as 
jet areas functionality, background estimation, access to other algorithms 
via plugins, interface to CGAL and tools such as filters and taggers. 
Therefore, for more sophisticated jet studies the complete 
FastJet package needs to be linked. This is foreseen in the 
configure file in the examples subdirectory, and the 
main71.cc and main72.cc programs contain 
examples how it can be used with Pythia events. (Even if 
these examples do not go beyond the functionality that 
SlowJet can offer.) 
 

             
The latter program makes use of the include/Pythia8/FastJet3.h 
header file, contributed by Gavin Salam. This allows simple input 
of a Pythia particle into a FastJet one, 
either retaining only the four-momentum or the full particle information. 
Thereby more sophisticated selectors become possible at the 
FastJet level. This code could be duplicated, with trivial 
modifications, to augment the fjcore package functionality 
in an identical manner, should the need arise. 
 


 
 
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ROOT usage






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            ROOT usage
             
 
Many PYTHIA users wish to use ROOT 
to produce histograms, or even to run PYTHIA as a plugin to ROOT. 
This is possible. It is not a task supported by the PYTHIA team, 
however. All issues involving ROOT usage should be directed to the 
ROOT team, or to the local support team of your collaboration. 
Below some helpful hints have been collected. The text is based on 
contributions by Rene Brun, Andreas Morsch and Axel Naumann. 
Another example may be found in the 
VINCIA 
add-on program for parton showers, but this should also work for 
a PYTHIA standalone run. 


             
Note that in all that follows, a Linux-type system with a Bash shell 
and GNU Make is assumed. In particular, for Mac OS X, the 
LD_LIBRARY_PATH should be replaced with 
DYLD_LIBRARY_PATH and the extension for shared libraries 
.so should be replaced with .dylib. 
 


             

            Standalone usage
             
 
One can perform the generation and analysis of events in a completely 
standalone fashion, and only use ROOT to process the completed events. 
Some example programs are provided in the rootexamples 
directory, with details provided below and in the README 
file. 
 
The examples assume that you have already compiled the PYTHIA library, 
ROOT is installed, and that all paths have been setup correctly (e.g. 
PATH and LD_LIBRARY_PATH). If these paths are not already set, ROOT 
typically comes with a shell script to set these paths, which can be 
run with 

             
    source /path_to_ROOT_installation/bin/thisroot.sh 

             
 

            Histogramming with ROOT
             
 
An example of histogramming with ROOT is provided in 
rootexamples/hist.cc. It may be compiled and run 
with the following commands 

             
    make hist 
    ./hist.exe 

             
After PYTHIA has run, a ROOT histogram of the charged multiplicity in 
the events will be shown. This is now stored in the 
hist.root file. 
 

            Storing PYTHIA events in ROOT trees
             
 
Instead of only generating histograms, it is possible to store entire 
PYTHIA events in ROOT trees. The tree example in the 
rootexamples subdirectory provides an example of this and 
is comprised of the following files 

               
  
            • tree.cc is the main example program showing how 
  PYTHIA events can be stored in ROOT trees.
              •  
  
            • pythiaLinkdef.h is used by Makefile to generate the 
  dictionary for all PYTHIA classes involved in the IO, as needed for 
  the example.
              •  
  
            • pythiaROOT.h is a small include declaring the 
  Pythia8 namespace as default.
              •  

             
 

             
The example may be compiled and run with 

             
    make tree 
    ./tree.exe 

             
After the example has run, the pytree.root file will now 
be present containing the PYTHIA events. Note that files can become 
quite large when many events are generated. 
 


             

            PYTHIA as a plugin to ROOT
             
 
In more ROOT-centric applications, PYTHIA can be run as a ROOT plug-in. 
This requires a version of ROOT that has been 
 
installed from source. The reason is that the interfaces depend on 
PYTHIA header files that are not distributed with ROOT. Installing ROOT 
is not more difficult than the PYTHIA installation, and some 
guidelines are provided below. 
 

            Installation
             
 
To be run as a plugin, PYTHIA must be compiled as a shared library. 
This is achieved by running the PYTHIA configure script 
with the --enable-shared option before make 
is run.

             
 
Define an environment variable for the path to your 
PYTHIA installation directory 

             
    export PYTHIA8=path_to_PYTHIA8_installation 

             
Before compiling ROOT, 
 
configure ROOT by running the configure command 
including the following options 

             
    --enable-pythia8 
    --with-pythia8-incdir=$PYTHIA8/include 
    --with-pythia8-libdir=$PYTHIA8/lib 

             
In case ROOT has already been compiled before, it will only recompile 
the PYTHIA module and build the library libEGPythia8. 
 

            Interfaces
             
 
When running PYTHIA as a plugin, the exact interface structure becomes 
very relevant. ROOT provides two simple interfaces (wrappers) for 
PYTHIA 8. The code for these interfaces are located in 

             
    path_to_ROOT_source/montecarlo/pythia8 

             

             
The two interfaces are 

               
  
            •  
  TPythia8 is an implementation of the 
   
  TGenerator interface for PYTHIA 8.
               
  It allows you to use PYTHIA within a ROOT macro or as a plug-in 
  for a general-purpose particle generator based on this interface. The 
  main methods of the interface are 
  
                 
    
              • GenerateEvent() which triggers the 
    generation of the next event, and 
                •  
    
              • ImportParticles(TClonesArray* particles) 
    which copies the native PYTHIA stack into a 
     
    TClonesArray of 
     
    TParticles. 
  
               
 
  In addition, some methods that are directly related to corresponding 
  PYTHIA methods are implemented 
  
                 
    
              • ReadString(const char* string) → 
    readString(...)
                •  
    
              • ReadConfigFile(const char* string) → 
    readFile(...)
                •  
    
              • Initialize(int idAin, int idBin, double ecms) → 
    init(...)
                •  
    
              • EventListing() → 
    event.list()
                •  
    
              • PrintStatistic() → 
    statistics()
                •  
  
               
 
  These methods provide already the basic PYTHIA functionality 
  interactively from the ROOT command line. However, this does not mean 
  that the usage of PYTHIA from within ROOT is restricted to these methods. 
  In compiled code, one can always obtain a pointer to the 
  Pythia instance e.g. 
  
               
    TPythia8        *tp = new TPythia8(); 
    Pythia8::Pythia *p  = tp->Pythia8();
               
  giving access to the full PYTHIA functionality. To access this 
  functionality in the CINT interpreter see the "Advanced usage" 
  section below.
              •  
 
  
            •  
  TPythia8Decayer is an implementation of the 
   
  TVirtualMCDecayer interface.
               
  It allows you to use PYTHIA as a plug-in decayer for simulation 
  frameworks based on the Virtual Monte Carlo 
  (VMC) interface 
  classes. The main methods of the interface are 
  
                 
    
              • TPythia8Decayer::Init() for initialisation,
                •  
    
              • TPythia8Decayer::Decay(Int_t pdg, TLorentzVector* p) 
    to decay a particle with PDG code pdg and 
     
    4-momentum p, and 
                •  
    
              • ImportParticles(TClonesArray* particles) 
    to retrieve the decay products as 
     
    TParticles in the 
     
    TClonesArray particles.
                •  
  
              •  

             
 

            An example
             
 
A  
basic example for generating minimum-bias events with PYTHIA 8 inside 
a ROOT macro, and filling some histograms with the kinematics of the 
final-state particles is provided in either of the locations below 

             
    /path_to_ROOT_source/tutorials/pythia/pythia8.C 
    /path_to_ROOT_installation/share/doc/root/tutorials/pythia/pythia8.C 

             

             
Note that before executing this script 

               
  
            • the environment variables PYTHIA8 and 
  PYTHIA8DATA must be setup correctly e.g. 
  
               
    export PYTHIA8=/path_to_PYTHIA_installation 
    export PYTHIA8DATA=$PYTHIA8/xmldoc 
  
              •  
  
            • your LD_LIBRARY_PATH must contain the location of the 
  PYTHIA 8 shared library, e.g. 
  
               
    export LD_LIBRARY_PATH=$LD_LIBRARY_PATH:path_to_PYTHIA8_installation/lib 
  
               
  
              •  

             
The script can then be run with ROOT 

             
    root pythia8.C 

             
After execution, ROOT will display some histograms from the event 
generation. 
 

            Advanced usage
             
 
To access the full PYTHIA functionality from the CINT interpreter, 
a ROOT dictionary must be created. An example of creating this 
dictionary is contained in the rootexamples directory. 
The pythiaDict.so library may be created by running 

             
    make dict 

             
 
This may then be loaded in ROOT giving full access to the full PYTHIA 8 
functionality, e.g. in an interactive session 

             
    gSystem->Load("path_to_PYTHIA8_installation/rootexamples/pythiaDict"); 
    Pythia8::Pythia *p = new Pythia8::Pythia(); 
    p->readString("SoftQCD:nonDiffractive = on"); 

             
   


 
 
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PYTHIA 8 online manual



  
 
 
 
 
 
 
 

 
 
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Sample Main Programs






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            Sample Main Programs
             
 
Descriptions of available classes, methods and settings are all 
very good and useful. Ultimately they are necessary for you to 
be able to fine-tune your runs to the task at hand. To get going, 
however, nothing helps like having explicit examples to study. 
This is what is provided in the examples subdirectory, 
along with instructions how they should be run: 

               
 

            • main00.cc : does not exist, but it has been defined 
in the Makefile, so this name could be used for a simple 
first test run. 
 

            • main01.cc : a simple study of the charged multiplicity 
for jet events at the LHC. (Brief example fitting on one slide.)
              •  
 

            • main02.cc : a simple study of the pT spectrum 
of Z bosons at the Tevatron. (Brief example fitting on one slide.)
              •  
 

            • main03.cc : a simple study of several different kinds 
of events, with the choice to be made in the main03.cmnd 
"cards file".
              •  
 

            • main04.cc : tests of cross sections, multiplicities and 
average transverse momenta for elastic, diffractive and nondiffractive 
topologies, using main04.cmnd to pick processes.
              •  
 

            • main05.cc : generation of QCD jet events at the LHC, 
with jet analysis using the SlowJet inclusive anti-kT 
sequential-recombination finder and the CellJet 
cone-jet finder.
              •  
 

            • main06.cc : generation of LEP1 hadronic events, i.e. 
e^+e^- → gamma*/Z^0 → q qbar, with charged multiplicity, 
sphericity, thrust and jet analysis.
              •  
 

            • main07.cc : set up a fictitious production process 
to a generic resonance, where you easily can compose your own list 
of (two-body) decay modes to a variety of final states. Also traces 
decay chains down to truly stable particles: gamma, e+-, p/pbar and 
neutrinos. Suitable for astroparticle applications, like neutralino 
pair annihilation, where cross sections are calculated separately 
in another program.
              •  
 

            • main08.cc : generation of the QCD jet cross section 
biased towards higher pT values, by two different techniques. 
Firstly, by splitting the run into subruns, each in its own pT 
bin, and adding the results properly reweighted. Two suboptions, with 
limits set either in the main program or by subrun specification in the 
main08.cmnd file. Secondly, by a continuous reweighting 
with a pT^4 bias in the selection, compensated by a 
1/pT^4 event weight. Also inclusion of soft processes is 
illustrated, with subruns and weighted events.
              •  
 

            • main09.cc : generation of two predetermined hard 
interactions in each event.
              •  
 

            • main10.cc : illustration how userHooks can be used 
interact directly with the event-generation process.
              •  
 

            • main11.cc : a study of top events, fed in from the 
Les Houches Event File ttbar.lhe, here generated by 
PYTHIA 6.4. This file currently only contains 100 events 
so as not to make the distributed PYTHIA package too big, and so serves 
mainly as a demonstration of the principles involved. 
              •  
 

            • main12.cc : a more sophisticated variant of 
main11.cc, where two Les Houches Event Files 
(ttbar.lhe and ttbar2.lhe) successively 
are used as input. Also illustrating some other aspects, like the 
capability to mix in internally generated events.
              •  
 

            • main13.cc : a streamlined version of 
main12.cc, where two Les Houches Event Files 
(ttbar.lhe and ttbar2.lhe) successively 
are used as input in main13.cmnd file.
              •  
 

            • main14.cc : a systematic comparison of several 
cross section values with their corresponding values in PYTHIA 6.4, 
the latter available as a table in the code.
              •  
 

            • main15.cc : loop over several tries, either to redo 
B decays only or to redo the complete hadronization chain of an event. 
Since much of the generation process is only made once this is a way 
to increase efficiency.
              •  
 

            • main16.cc : put all user analysis code into a class 
of its own, separate from the main program; provide the "cards file" 
name as a command-line argument. Also exemplifies how Higgs mass, 
width and branching ratios can be set by hand.
              •  
 

            • main17.cc : shows (a) how to use UserHooks to 
regularize onium cross section for pT → 0, and (b) how decays 
could be handled externally.
              •  
 

            • main18.cc : shows how to write an event filter class, 
where you keep a vector of pointers to the subset of particles you 
want to study further. The event record itself remains unchanged.
              •  
 

            • main19.cc : use several instances of Pythia, one for 
signal events and others for a variable number of pileup and "beam-gas" 
events, combined into one common event record.
              •  
 

            • main20.cc : shows how PYTHIA 8 can write a Les Houches 
Event File, using facilities potentially useful also for other programs 
to write an LHEF.
              •  
 

            • main21.cc : an example how a single particle or various 
parton-level configurations can be input directly for hadronization, 
without being tied to the full process-generation machinery, e.g. to 
study the hadronization of junction topologies. Can also be used for 
single-resonance decays, with showers.
              •  
 

            • main22.cc : shows how an external resonance can be 
implemented as a new class derived from a PYTHIA base class, and be 
used in an external process, both of them handed in for generation 
as with normal internal classes.
              •  
 

            • main23.cc : shows how an external beam momentum spread 
and vertex location generator can be implemented as a new class derived 
from a PYTHIA base class, and then handed in for internal use. 
Also how to use an external random-number generator and an external 
parton distribution set.
              •  
 

            • main24.cc : tests of internally implemented cross sections 
for Supersymmetric particle production, with SUSY spectrum defined in 
cmssm.spc and settings in main24.cmnd. For 
illustration, an alternative example spectrum is also 
available, sps1aWithDecays.spc, which contains a decay 
table in SLHA format.
              •  
 

            • main25.cc : input RPV-SUSY events from an LHEF file that 
contains an SLHA spectrum inside its header. The event file, 
main25.lhe, contains a sample events that 
illustrate how to arrange color tags in the presence of the 
color-space epsilon tensors that accompany baryon number violating 
event topologies. 
              •  
 

            • main26.cc : test program for processes in scenarios 
with large extra dimensions or unparticles. 
              •  
 

            • main27.cc : production of Kaluza-Klein gamma/Z 
states in TeV-sized extra dimensions. 
              •  
 

            • main28.cc : production of long-lived R-hadrons, that 
are forced to decay at a separate vertices and possibly with changed 
momenta.
              •  
 

            • main31.cc : exemplifies an improved matching of 
parton showers to LHEF-style input based on the 
";?>POWHEG approach. 
The main31.cmnd allows to switch between several 
different matching options. It also allows to select input process, 
in this case either for the POWHEG-hvq program applied to top 
pair production [Cor10] or for QCD 2+3-jet events. The small 
samples of input events are stored in the powheg-hvq.lhe 
and powheg-dijets.lhe files, respectively. 

              •  
 

            • main32.cc : exemplifies MLM merging, either in the 
ALPGEN variant or in the Madgraph one, and with input events either 
from ALPGEN or from Madgraph, with relevant control cards stored in 
main32.cmnd. See ";?>Jet Matching 
for further details. Traditionally the ALPGEN output is 
split into one file with events and another with parameters and cross 
sections (unlike in LHEF). Here a sample of W + 3 jets events 
is stored in main32.unw and the parameters to go with it 
in main32_unw.par. Madgraph events are taken from the 
w+_production_lhc_2.lhe file in this case. 

              •  
 

            • main41.cc : similar to main01, except that 
the event record is output in the HepMC event record format. Requires that 
HepMC is properly linked. Note that the hepmcout41.dat output 
file can become quite big; so no example is included in this 
distribution.
              •  
 

            • main42.cc : a streamlined version for the generation 
of events that are then stored in HepMC format, without any event 
analysis. That is, all physics studies will have to be done afterwards. 
The name of the input "cards file" (e.g. main42.cmnd) 
and output HepMC event file (e.g. hepmcout42.dat) are to 
be provided as command-line arguments. Requires that HepMC is properly 
linked. Note that the HepMC output file can become quite big; so no 
example is included in this distribution.
              •  
 

            • main46.cc : illustrates how to write a ProMC file with 
PYTHIA events. Note that this example cannot (yet) be built by the PYTHIA 
Makefile, but a relevant Makefile is available on the ProMC webpage 
http://atlaswww.hep.anl.gov/asc/promc/.
              •  
 

            • main51.cc : a test of the shape of parton densities, 
as a check prior to using a given PDF set in a generator.  Requires 
that LHAPDF is properly linked.
              •  
 

            • main52.cc : compares the charged multiplicity 
distribution, and a few other minimum-bias physics aspects, between 
default PYTHIA PDF and another one. Requires that LHAPDF is properly 
linked.
              •  
 

            • main53.cc : tests the possibility to do backwards 
evolution from an incoming photon at the hard interaction. Requires 
that you link to a LHAPDF set that includes the photon PDF.
              •  
 

            • main54.cc : compares the internal and LHAPDF 
implementations of the NNPDF 2.3 QCD+QED sets, for results and for 
timing. Requires that LHAPDF is properly linked.
              •  
 

            • main61.cc : a streamlined version for the generation 
of events that are then stored in HepMC format, without any event 
analysis. That is, just like main42.cc, with the difference 
that main61.cc can be used in conjunction with LHAPDF. 
The name of the input "cards file" (e.g. main61.cmnd) 
and output HepMC event file (e.g. hepmcout61.dat) are to 
be provided as command-line arguments. Requires that HepMC and LHAPDF 
are properly linked. Note that the HepMC output file can become quite 
big; so no example is included in this distribution.
              •  
 

            • main62.cc : a further extension of main61.cc, 
where subruns are used to process several consecutive LHEF, 
as in main13.cc, with information stored e.g in 
main62.cmnd. Other comments as for main61.cc.
              •  
 

            • main71.cc : an example how the FastJet jet finding 
package can be linked to allow an analysis of the final state, 
in this case for a study of W + jet production.
              •  
 

            • main72.cc : a comparison of SlowJet and FastJet 
jet finding, showing that they find the same jets if run under 
identical conditions, in this case for QCD jets.
              •  
 

            • main80.cc : do CKKW-L merging with a merging scale 
defined in kT. Input is provided by the main80.cmnd 
file and input LHE files. Very basic and pedagogical setup, suitable 
for tutorials.
              •  
 

            • main81.cc : do CKKW-L merging with a merging scale 
defined in kT. Input is provided by the main81.cmnd 
file and the three data files w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe and w+_production_lhc_2.lhe. 

              •  
 

            • main82.cc : do CKKW-L merging with a user-defined 
merging scale function. Input is provided by the main82.cmnd 
file and the three data files w+_production_lhc_0.lhe, 
w+_production_lhc_1.lhe and w+_production_lhc_2.lhe. 

              •  
 

            • main83.cc : as main82.cc but with an 
additional cut on the lowest multiplicity allowed for the reclustered 
state. The same input as for main82.cc can be used. 

              •  
 

            • main84.cc : do CKKW-L merging with output in such a way 
that it can be used in subsequent RIVET analyses. Input is provided by 
the main84.cmnd file and the three data files 
w+_production_lhc_0.lhe, w+_production_lhc_1.lhe 
and w+_production_lhc_2.lhe. 

              •  
 

            • main85.cc : do CKKW-L merging, with HepMC event output. Input 
settings are provided by the main85.cmnd file. This example 
program allows the use of input Les Houches events that are regularised with 
only very minimal cuts, and on which Pythia itself should enforce the more 
restrictive merging scale cut. The example program can be used with the input 
files w_production_tree_0.lhe, 
w_production_tree_1.lhe and w_production_tree_2.lhe. 

              •  
 

            • main86.cc : do unitarised ME+PS (UMEPS) merging, with HepMC 
event output. Input settings are provided by the main86.cmnd 
file. This example program allows the consistent use of input Les Houches 
events that are regularised with only very minimal cuts, similar to 
main85.cc. The example program can be used with the input files 
w_production_tree_0.lhe, w_production_tree_1.lhe 
and w_production_tree_2.lhe. 
The program will produce positively and negatively weighted events. 
See ";?>UMEPS Merging for further details. 

              •  
 

            • main87.cc : do NL3 NLO merging, with inclusive 
NLO input, and with HepMC event output. Input settings are provided by 
the main87.cmnd file. This example program allows the consistent 
use of input Les Houches events that are regularised with only very minimal 
cuts, similar to main85.cc. The example program can be 
used with the tree-level input files w_production_tree_0.lhe, 
w_production_tree_1.lhe, w_production_tree_2.lhe and 
the inclusive POWHEG input files w_production_powheg_0.lhe, 
w_production_powheg_1.lhe. 
The program will produce positively and negatively weighted events. 
See ";?>NLO Merging (NL3 section) for 
further details. 

              •  
 

            • main88.cc : do unitarised NLO+PS (UNLOPS) merging, with 
inclusive NLO input, and with HepMC event output. Input settings are provided 
by the main88.cmnd file. This example program allows the 
consistent use of input Les Houches events that are regularised with only very 
minimal cuts, similar to main85.cc. The example program can be 
used with the tree-level input files w_production_tree_0.lhe, 
w_production_tree_1.lhe, w_production_tree_2.lhe and 
the inclusive POWHEG input files w_production_powheg_0.lhe, 
w_production_powheg_1.lhe. 
The program will produce positively and negatively weighted events. 
See ";?>NLO Merging (UNLOPS section) for further 
details. 

              •  
 

             
 
In addition two main program illustrating the use of ROOT are available 
in the rootexamples subdirectory: 
  

               
 

            • hist.cc : shows how ROOT can be used for histogramming 
in a program that for the rest is structured like a normal PYTHIA run. 

              •  
 

            • tree.cc : shows how PYTHIA events can be stored as 
ROOT trees.
              •  
 

             
 
This subdirectory also contains a special Makefile and related 
documentation. 
 
 


 
 
pythia8-8.1.86.orig/phpdoc/ProgramFlow.php0000644000175000017500000016076712357553536016623 0ustar  sunsun

Program Flow






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Program Flow
             
 
Recall that, to first order, the event generation process can be 
subdivided into three stages: 

               

            1. Initializaion.
              2.  

            2. The event loop.
              3.  

            3. Finishing.
              4.  

             
This is reflected in how the top-level Pythia class should 
be used in the user-supplied main program, further outlined in the 
following. Since the nature of the run is defined at the initialization 
stage, this is where most of the PYTHIA user code has to be written. 
So as not to confuse the reader unduly, the description of initialization 
options has been subdivided into what would normally be used and what is 
intended for more special applications. 
 

             
At the bottom of this webpage is a complete survey of all public 
Pythia methods and data members, in a more formal style 
than the task-oriented descriptions found in the preceding sections. 
This offers complementary information. 
    

            Initialization - normal usage
             
 

               
 

            1.  
Already at the top of the main program file, you need to include the proper 
header file 

               
    #include "Pythia8/Pythia.h" 

               
To simplify typing, it also makes sense to declare 

               
    using namespace Pythia8; 

               

              2.  
 

               

            2.  
The first step is to create a generator object, 
e.g. with 

               
     Pythia pythia; 

               
It is this object that we will use from now on. Normally a run 
will only contain one Pythia object. (But you can 
use several Pythia objects, which then will be 
independent of each other.)
               
By default all output from Pythia will be on the 
cout stream, but the list methods below do 
allow output to alternative streams or files. 

              3.  
 

               

            3.  
You next want to set up the character of the run. 
The pages under the "Setup Run Tasks" heading in the index 
describe all the options available (with some very few exceptions, 
found on the other pages). 
The default values and your modifications are stored in two databases, 
one for ";?>generic settings 
and one for ";?>particle data. 
Both of these are initialized with their default values by the 
Pythia constructor. The default values can then be 
changed, primarily by one of the two ways below, or by a combination 
of them. 
 

               
a) You can use the 

               
    pythia.readString(string); 

               
method repeatedly to do a change of a property at a time. 
The information in the string is case-insensitive, but upper- and 
lowercase can be combined for clarity. The rules are that
               
(i) if the first nonblank character of the string is a letter 
it is assumed to contain a setting, and is sent on to 
pythia.settings.readString(string);
               
(ii) if instead the string begins with a digit it is assumed to 
contain particle data updates, and so sent on to 
pythia.particleData.readString(string);
               
(iii) if none of the above, the string is assumed to be a comment, 
i.e. nothing will be done.
               
In the former two cases, a warning is issued whenever a string 
cannot be recognized (maybe because of a spelling mistake).
               
Some examples would be 

               
    pythia.readString("TimeShower:pTmin = 1.0"); 
    pythia.readString("111:mayDecay = false"); 

               
The readString(string) method is intended primarily for 
a few changes. It can also be useful if you want to construct a 
parser for input files that contain commands both to PYTHIA and to 
other libraries.
               
 

               
b) You can read in a file containing a list of those variables 
you want to see changed, with a 

               
    pythia.readFile(fileName); 

               
Each line in this file with be processes by the 
readString(string) method introduced above. You can thus 
freely mix comment lines and lines handed on to Settings 
or to ParticleData.
               
This approach is better suited for more extensive changes than a direct 
usage of readString(string), and can also avoid having to 
recompile and relink your main program between runs.
               
It is also possible to read input from an istream, by 
default cin, rather than from a file. This may be convenient 
if information is generated on-the-fly, within the same run. 
 

               
Changes are made sequentially in the order the commands are encountered 
during execution, meaning that if a parameter is changed several times 
it is the last one that counts. The two special 
";?>Tune:ee and 
";?>Tune:pp 
modes are expanded to change several settings in one go, but these obey 
the same ordering rules. 

               

              4.  
 

               

            4.  
Next comes the initialization stage, where all 
remaining details of the generation are to be specified. 
There is one standard method to use for this 
 

               
pythia.init();
               
with no arguments will read all relevant information from the 
";?>Settings 
and ";?>ParticleData 
databases. Specifically the setup of incoming beams and energies 
is governed by the the beam parameters from the 
";?>Beams 
group of variables. If you don't change any of those you will 
default to proton-proton collisions at 14 TeV, i.e. the nominal LHC 
values. 
 

               
A few alternative forms are available, where the arguments of the 
init(...) call can be used to set the beam parameters. 
These alternatives are now deprecated, and will be removed for 
PYTHIA 8.2. 
 

               
a) pythia.init( idA, idB, eCM);
               
lets you specify the identities and the CM energy of the two incoming 
beam particles, with A (B) assumed moving in the +z (-z) 
direction. 
 

               
b) pythia.init( idA, idB, eA, eB);
               
is similar, but the two beam energies can be different, so the 
collisions do not occur in the CM frame. If one of the beam energies 
is below the particle mass you obtain a fixed-target topology. 
 

               
c) pythia.init( idA, idB, pxA, pyA, pzA, pxB, pyB, pzB);
               
is similar, but here you provide the three-momenta 
(p_x, p_y, p_z) of the two incoming particles, 
to allow for arbitrary beam directions. 
 

               
d) pythia.init(fileName); 
               
assumes a file in the ";?>Les Houches 
Event File format is provided. 
 

               
e) pythia.init( LHAup*); 
               
assumes ";?>Les Houches Accord 
initialization and event information is available in an LHAup 
class object, and that a pointer to this object is handed in. 
 

               

            5.  
If you want to have a list of the generator and particle data used, 
either only what has been changed or everything, you can use 

               
    pythia.settings.listChanged(); 
    pythia.settings.listAll(); 
    pythia.particleData.listChanged(); 
    pythia.particleData.listAll(); 

               

              6.  
 

             
 

            The event loop
             
 

               
 

            1.  
Inside the event generation loop you generate the 
next event using the next() method, 

               
    pythia.next(); 

               
This method takes no arguments; everything has already been specified. 
It does return a bool value, however, false when the 
generation failed. This can be a "programmed death" when the 
supply of input parton-level configurations on file is exhausted. 
It can alternatively signal a failure of Pythia to 
generate an event, or unphysical features in the event record at the 
end of the generation step. It makes sense to allow a few false 
values before a run is aborted, so long as the related faulty 
events are skipped. 

              2.  
  

               

            2.  
The generated event is now stored in the event 
object, of type ";?>Event, 
which is a public member of pythia. You therefore have 
access to all the tools described on the pages under the "Study Output" 
header in the index. For instance, an event can be listed with 
pythia.event.list(), the identity of the i'th 
";?>particle is given by 
pythia.event[i].id(), and so on.
               
The hard process - roughly the information normally stored in the 
Les Houches Accord event record - is available as a second object, 
process, also of type Event.
               
A third useful public object is 
";?>info, which offers 
a set of one-of-a kind pieces of information about the most recent 
event. 

              3.  
 

             
 

            Finishing
             
 

               
 

            1. At the end of the generation process, you can call 

               
    pythia.stat(); 

               
to get some run statistics, on cross sections and the number of errors 
and warnings encountered. The alternative 
pythia.statistics(...); is equivalent but deprecated. 

              2.  
 

             
 

            Advanced usage, mainly for initialization
             
 
A) Necessary data are automatically loaded when you use the 
default PYTHIA installation directory structure and run the main 
programs in the examples subdirectory. However, in the 
general case, you must provide the path of the xmldoc 
directory, where default settings and particle data are found. 
This can be done in two ways. 
 

               
 

            1.  
You can set the environment variable PYTHIA8DATA to 
contain the location of the xmldoc directory. In the 
csh and tcsh shells this could e.g. be 

               
     setenv PYTHIA8DATA /home/myname/pythia81xx/xmldoc 

               
while in other shells it could be 

               
     export PYTHIA8DATA=/home/myname/pythia81xx/xmldoc 

               
where xx is the subversion number.
               
Recall that environment variables set locally are only defined in the 
current instance of the shell. The above lines should go into your 
.cshrc and .bashrc files, respectively, 
if you want a more permanent assignment. 

              2.  
 

               

            2.  
You can provide the path as argument to the Pythia 
constructor, e.g. 

               
     Pythia pythia("/home/myname/pythia81xx/xmldoc"); 

               

              3.  

             
where again xx is the subversion number.
             
When PYTHIA8DATA is set it takes precedence, else 
the path in the constructor is used, else one defaults to the 
../xmldoc directory. 
 

             
B) You can override the default behaviour of PYTHIA not only by the 
settings and particle data, but also by replacing some of the 
PYTHIA standard routines by ones of your own. Of course, this is only 
possible if your routines fit into the general PYTHIA framework. 
Therefore they must be coded according to the the rules relevant 
in each case, as a derived class of a PYTHIA base class, and a pointer 
to such an object must be handed in by one of the methods below. 
These calls must be made before the pythia.init(...) call. 
 

               
 

            1.  
If you are not satisfied with the list of parton density functions that 
are implemented internally or available via the LHAPDF interface 
(see the ";?>PDF Selection page), you 
can supply your own by a call to the setPDFPtr(...) method 

               
      pythia.setPDFptr( pdfAPtr, pdfBPtr); 

               
where pdfAPtr and pdfBPtr are pointers to 
two Pythia ";?>PDF 
objects. Note that pdfAPtr and pdfBPtr 
cannot point to the same object; even if the PDF set is the same, 
two copies are needed to keep track of two separate sets of x 
and density values.
               
If you further wish to use separate PDF's for the hard process of an 
event than the ones being used for everything else, the extended form 

               
      pythia.setPDFptr( pdfAPtr, pdfBPtr, pdfHardAPtr, pdfHardBPtr); 

               
allows you to specify those separately, and then the first two sets 
would only be used for the showers and for multiparton interactions. 

              2.  
 

               

            2.  
If you want to link to an external generator that feeds in events 
in the LHA format, you can call the setLHAupPtr(...) 
method 

               
      pythia.setLHAupPtr( lhaUpPtr); 

               
where the  lhaUpPtr derives from the 
";?>LHAup base class. 

              3.  
 

               

            3.  
If you want to perform some particle decays with an 
external generator, you can call the setDecayPtr(...) 
method 

               
      pythia.setDecayPtr( decayHandlePtr, particles); 

               
where the decayHandlePtr derives from the 
";?>DecayHandler base 
class and particles is a vector of particle codes to be 
handled. 

              4.  
 

               

            4.  
If you want to use an external random number generator, 
you can call the setRndmEnginePtr(...) method 

               
      pythia.setRndmEnginePtr( rndmEnginePtr); 

               
where rndmEnginePtr derives from the 
";?>RndmEngine base class. 
The Pythia default random number generator is perfectly 
good, so this is only intended for consistency in bigger frameworks. 

              5.  
 

               

            5.  
If you want to interrupt the evolution at various stages, 
to interrogate the event and possibly veto it, or you want to 
reweight the cross section, you can use 

               
      pythia.setUserHooksPtr( userHooksPtr); 

               
where userHooksPtr derives from the 
";?>UserHooks base class. 

              6.  
 

               

            6.  
If you want to use your own merging scale definition for 
matrix element + parton shower merging, you can call 

               
      pythia.setMergingHooksPtr( mergingHooksPtr); 

               
where mergingHooksPtr derives from the 
";?>MergingHooks base class. 

              7.  
 

               

            7.  
If you want to use your own parametrization of beam momentum spread and 
interaction vertex, rather than the provided simple Gaussian 
parametrization (off by default), you can call 

               
      pythia.setBeamShapePtr( beamShapePtr); 

               
where beamShapePtr derives from the 
";?>BeamShape base class. 

              8.  
 

               

            8.  
If you want to implement a cross section of your own, but still make use 
of the built-in phase space selection machinery, you can use 

               
      pythia.setSigmaPtr( sigmaPtr); 

               
where sigmaPtr of type SigmaProcess* is an 
instance of a class derived from one of the Sigma1Process, 
Sigma2Process and  Sigma3Process base classes 
in their turn derived from 
";?>SigmaProcess. 
This call can be used repeatedly to hand in several different processes. 

              9.  
 

               

            9.  
If your cross section contains the production of a new resonance 
with known analytical expression for all the relevant partial widths, 
you can make this resonance available to the program with 

               
      pythia.setResonancePtr( resonancePtr); 

               
where resonancePtr of type ResonanceWidths* 
is an instance of a class derived from the 
";?>ResonanceWidths 
base class. In addition you need to add the particle to the normal 
";?>particle and decay database. 
This procedure can be used repeatedly to hand in several different 
resonances. 

              10.  
 

               

            10.  
If you are a real expert and want to ";?>replace 
the PYTHIA initial- and final-state showers, you can use 

               
      pythia.setShowerPtr( timesDecPtr, timesPtr, spacePtr); 

               
where timesDecPtr and timesPtr 
derive from the TimeShower base class, and 
spacePtr from SpaceShower. 

              11.  
 

             
 

             
C) Some comments on collecting several tasks in the same run. 

               
 

            1.  
PYTHIA has not been written for threadsafe execution on multicore 
processors. If you want to use all cores, 
the most efficient way presumably is to start correspondingly many jobs, 
with different random number seeds, and add the statistics at the end. 
However, note that several instances  can be set up in the same main 
program, since instances are completely independent of each other, 
so each instance could be run inside a separate thread. 

              2.  
 

               

            2.  
In some cases it is convenient to use more than one Pythia 
object. The key example would be the simultaneous generation of signal 
and pileup events, see main19.cc. The two objects are then 
set up and initialized separately, and generate events completely 
independently of each other. It is only afterwards that the event records 
are combined into one single super-event per beam crossing. 

              3.  
 

               

            3.  
When time is not an issue, it may be that you want to perform several 
separate subruns sequentially inside a run, e.g. to combine results for 
several kinematical regions or to compare results for some different 
tunes of the underlying event. One way to go is to create (and destroy) 
one pythia object for each subrun, in which case they are 
completely separate. You can also use the same pythia object, 
only doing a new init(...) call for each subrun. In that 
case, the settings and particle databases remain as they were in the 
previous subrun, only affected by the specific changes you introduced in 
the meantime. You can put those changes in the main program, with 
pythia.readString(string), using your own logic to decide 
which ones to execute in which subrun. A corresponding possibility 
exists with pythia.readFile(fileName, subrun) (or an 
istream instead of a fileName), which as second 
argument can take a non-negative subrun number. Then only those 
sections of the file before any Main:subrun = ... line 
or with matching subrun number will be read. That is, the 
file could have a structure like 

               
    ( lines always read, i.e. "default values" always (re)set ) 
    Main:subrun = 1 
    ( lines only read with readFile(fileName, 1) ) 
    Main:subrun = 2 
    ( lines only read with readFile(fileName, 2) ) 

               
Both of these possibilities are illustrated in main08.cc. 

              4.  
 

               

            4.  
When working with Les Houches Event Files, it may well be that your 
intended input event sample is spread over several files, that you all 
want to turn into complete events in one and the same run. There is no 
problem with looping over several subruns, where each new subrun 
is initialized with a new file, with name set in Beams:LHEF. 
However, in that case you will do a complete re-initialization each time 
around. If you want to avoid this, note that the flag 
Beams:newLHEFsameInit = true can be set for the second and 
subsequent subruns. Then the new file will be simulated with the same 
initialization data as already set in a previous 
pythia.init() call. The burden rests on you to ensure 
that this is indeed correct, e.g. that the two event samples have not 
been generated for different beam energies. Also note that cross 
sections for processes will be based on the information in the 
first-read file, when the full initialization is performed. 

              5.  
 

             
 

            The Pythia Class
             
 
Here follows the complete survey of all public Pythia 
methods and data members. 
 

            Constructor and destructor
             
 


            Pythia::Pythia(string xmlDir = "../xmldoc", bool printBanner = true)   
            
creates an instance of the Pythia event generators, 
and sets initial default values, notably for all settings and 
particle data. You may use several Pythia instances 
in the same run; only when you want to access external static 
libraries could this cause problems. (This includes in particular 
Fortran libraries such as ";?>LHAPDF.) 

            argument xmlDir  (default = ../xmldoc) : allows you to choose 
from which directory the default settings and particle data values 
are read in. If the PYTHIA8DATA environment variable 
has been set it takes precedence. Else this optional argument allows 
you to choose another directory location than the default one. Note 
that it is only the directory location you can change, its contents 
must be the ones of the xmldoc directory in the 
standard distribution. 
   

            argument printBanner  (default = true) :  can be set 
false to stop the program from printing a banner. 
The banner contains useful information, so this option is only 
intended for runs with multiple Pythia instances, 
where output needs to be restricted. 
   
   
 


            Pythia::~Pythia   
            
the destructor deletes the objects created by the constructor. 
 

            Set up run
             
 


            bool Pythia::readString(string line, bool warn = true)   
            
reads in a single string, that is interpreted as an instruction to 
modify the value of a ";?>setting or 
";?>particle data, as already described 
above. 

            argument line   :  
the string to be interpreted as an instruction. 
   

            argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. 
   

            Note: the method returns false if it fails to 
make sense out of the string. 
   
 


            bool Pythia::readFile(string fileName, bool warn = true, int subrun = SUBRUNDEFAULT)   
            
   
bool Pythia::readFile(string fileName, int subrun = SUBRUNDEFAULT)   
            
   
bool Pythia::readFile(istream& inStream = cin, bool warn = true, int subrun = SUBRUNDEFAULT)   
            
   
bool Pythia::readFile(istream& inStream = cin, int subrun = SUBRUNDEFAULT)   
            
reads in a whole file, where each line is interpreted as an instruction 
to modify the value of a ";?>setting or 
";?>particle data, cf. the above 
readString method. All four forms of the 
readFile command share code for actually reading a file. 

            argument fileName   :  
the file from which instructions are read. 
   

            argument inStream   :  
an istream from which instructions are read. 
   

            argument warn  (default = true) :  
write a warning message or not whenever the instruction does not make 
sense, e.g. if the variable does not exist in the databases. In the 
command forms where warn is omitted it is true. 
   

            argument subrun   :  
allows you have several optional sets of commands within the same file. 
Only those sections of the file before any Main:subrun = ... 
line or following such a line with matching subrun number will be read. 
The subrun number should not be negative; negative codes like 
SUBRUNDEFAULT corresponds to no specific subrun. 
   

            Note: the method returns false if it fails to 
make sense out of any one line. 
   
 


            bool Pythia::setPDFPtr( PDF* pdfAPtr, PDF* pdfBPtr, PDF* pdfHardAPtr = 0, PDF* pdfHardBPtr = 0)   
            
offers the possibility to link in external PDF sets for usage inside 
the program. The rules for constructing your own class from 
the PDF base class are described 
";?>here. 

            argument pdfAPtr, pdfBPtr   :  
pointers to two PDF-derived objects, one for each of 
the incoming beams. The two objects have to be instantiated by you 
in your program. Even if the two beam particles are the same 
(protons, say) two separate instances are required, since current 
information is cached in the objects. If both arguments are zero 
then any previous linkage to external PDF's is disconnected, 
see further Note 2 below. 
   

            argument pdfHardAPtr, pdfHardBPtr  (default = 0) :  
pointers to two further PDF-derived objects, one for each 
of the incoming beams. Normally only the first two arguments above would 
be used, and then the same PDF sets would be invoked everywhere. If you 
provide these two further pointers then two different sets of PDF's are 
used. This second set is then exclusively for the generation of the hard 
process from the process matrix elements library. The first set above 
is for everything else, notably parton showers and multiparton interactions. 
   

            Note 1: The method returns false if the input is obviously 
incorrect, e.g. if two (nonzero) pointers agree. 

            Note 2: If you want to combine several subruns you can 
call setPDFPtr with new arguments before each 
Pythia::init(...) call. To revert from external PDF's 
to the normal internal PDF selection you must call 
setPDFPtr(0, 0) before Pythia::init(...). 
   
 


            bool Pythia::setLHAupPtr( LHAup* lhaUpPtrIn)   
            
offers linkage to an external generator that feeds in events 
in the LHA format, see 
";?>Les Houches Accord, 
assuming that 
";?>Beams:frameType = 5 
has been set. 

            argument lhaUpPtrIn   :  
pointer to a LHAup-derived object. 
   

            Note: The method currently always returns true. 
   
 


            bool Pythia::setDecayPtr( DecayHandler* decayHandlePtr, vector<int> handledParticles)   
            
offers the possibility to link to an external program that can do some 
of the particle decays, instead of using the internal decay machinery. 
With particles we here mean the normal hadrons and leptons, not 
top quarks, electroweak bosons or new particles in BSM scenarios. 
The rules for constructing your own class from the 
DecayHandler base class are described 
";?>here. Note that you can only 
provide one external object, but this object in its turn could 
very well hand on different particles to separate decay libraries. 

            argument decayHandlePtr   :  
pointer to a DecayHandler-derived object. This object 
must be instantiated by you in your program. 
   

            argument handledParticles   :  vector with the PDG identity codes 
of the particles that should be handled by the external decay package. 
You should only give the particle (positive) codes; the respective 
antiparticle is always included as well. 
   

            Note: The method currently always returns true. 
   
 


            bool Pythia::setRndmEnginePtr( RndmEngine* rndmEnginePtr)   
            
offers the possibility to link to an external random number generator. 
The rules for constructing your own class from the 
RndmEngine base class are described 
";?>here. 

            argument rndmEnginePtr   :  
pointer to a RndmEngine-derived object. This object 
must be instantiated by you in your program. 
   

            Note: The method returns true if the pointer is different 
from 0. 
   
 


            bool Pythia::setUserHooksPtr( UserHooks* userHooksPtr)   
            
offers the possibility to interact with the generation process at 
a few different specified points, e.g. to reject undesirable events 
at an early stage to save computer time. The rules for constructing 
your own class from the UserHooks base class are described 
";?>here. You can only hand in one such 
pointer, but this may be to a class that implements several of the 
different allowed possibilities. 

            argument userHooksPtr   :  
pointer to a userHooks-derived object. This object 
must be instantiated by you in your program. 
   

            Note: The method currently always returns true. 
   
 


            bool Pythia::setBeamShapePtr( BeamShape* beamShapePtr)   
            
offers the possibility to provide your own shape of the momentum and 
space-time spread of the incoming beams. The rules for constructing 
your own class from the BeamShape base class are described 
";?>here. 

            argument BeamShapePtr   :  
pointer to a BeamShape-derived object. This object 
must be instantiated by you in your program. 
   

            Note: The method currently always returns true. 
   
 


            bool Pythia::setSigmaPtr( SigmaProcess* sigmaPtr)   
            
offers the possibility to link your own implementation of a process 
and its cross section, to make it a part of the normal process 
generation machinery, without having to recompile the 
Pythia library itself.  The rules for constructing your 
own class from the SigmaProcess base class are described 
";?>here. You may call this 
routine repeatedly, to add as many new processes as you wish. 

            argument sigmaPtr   :  
pointer to a SigmaProcess-derived object. This object 
must be instantiated by you in your program. 
   

            Note: The method currently always returns true. 
   
 


            bool Pythia::setResonancePtr( ResonanceWidths* resonancePtr)   
            
offers the possibility to link your own implementation of the 
calculation of partial resonance widths, to make it a part of the 
normal process generation machinery, without having to recompile the 
Pythia library itself.  This allows the decay of new 
resonances to be handled internally, when combined with new particle 
data. Note that the decay of normal hadrons cannot be modeled here; 
this is for New Physics resonances. The rules for constructing your 
own class from the ResonanceWidths base class are described 
";?>here. You may call this 
routine repeatedly, to add as many new resonances as you wish. 

            argument resonancePtr   :  
pointer to a ResonanceWidths-derived object. This object 
must be instantiated by you in your program. 
   

            Note: The method currently always returns true. 
   
 


            bool Pythia::setShowerPtr( TimeShower* timesDecPtr, TimeShower* timesPtr = 0, SpaceShower* spacePtr = 0)   
            
offers the possibility to link your own parton shower routines as 
replacements for the default ones. This is much more complicated 
since the showers are so central and are so interlinked with other 
parts of the program. Therefore it is also possible to do the 
replacement in stages, from the more independent to the more 
intertwined. The rules for constructing your own classes from the 
TimeShower and SpaceShowerbase classes 
are described ";?>here. These 
objects must be instantiated by you in your program. 

            argument timesDecPtr   :  
pointer to a TimeShower-derived object for doing 
timelike shower evolution in resonance decays, e.g. of a 
Z^0. This is decoupled from beam remnants and parton 
distributions, and is therefore the simplest kind of shower 
to write. If you provide a value 0 then the internal shower 
routine will be used. 
   

            argument timesPtr  (default = 0) :  
pointer to a TimeShower-derived object for doing 
all other timelike shower evolution, which is normally interleaved 
with multiparton interactions and spacelike showers, introducing 
both further physics and further technical issues. If you retain 
the default value 0 then the internal shower routine will be used. 
You are allowed to use the same pointer as above for the 
timesDecPtr if the same shower can fulfill both tasks. 
   

            argument spacePtr  (default = 0) :  
pointer to a SpaceShower-derived object for doing 
all spacelike shower evolution, which is normally interleaved 
with multiparton interactions and timelike showers. If you retain 
the default value 0 then the internal shower routine will be used. 
   

            Note: The method currently always returns true. 
   
 

            Initialize
             
 
At the initialization stage all the information provided above is 
processed, and the stage is set up for the subsequent generation 
of events. Currently several alternative forms of the init 
method are available for this stage, but only the first one is 
recommended. 
 


            bool Pythia::init()   
            
initialize for collisions, in any of the five separate possibilities 
below. In this option the beams are not specified by input arguments, 
but instead by the settings in the 
";?>Beam Parameters section. 
This allows the beams to be specified in the same file as other 
run instructions. The default settings give pp collisions at 14 TeV. 

            Note: The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


            bool Pythia::init( int idA, int idB, double eCM)   
            
initialize for collisions in the center-of-mass frame, with the 
beams moving in the +-z directions. 

            argument idA, idB   :  
particle identity code for the two incoming beams. 
   

            argument eCM   :  
the CM energy of the collisions. 
   

            Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


            bool Pythia::init( int idA, int idB, double eA, double eB)   
            
initialize for collisions with back-to-back beams, 
moving in the +-z directions, but with different energies. 

            argument idA, idB   :  
particle identity code for the two incoming beams. 
   

            argument eA, eB   :  
the energies of the two beams. If an energy is set to be below 
the mass of the respective beam particle that particle is taken to 
be at rest. This offers a simple possibility to simulate 
fixed-target collisions. 
   

            Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


            bool Pythia::init( int idA, int idB, double pxA, double pyA, double pzA, double pxB, double pyB, double pzB)   
            
initialize for collisions with arbitrary beam directions. 

            argument idA, idB   :  
particle identity code for the two incoming beams. 
   

            argument pxA, pyA, pzA   :  
the three-momentum vector (p_x, p_y, p_z) of the first 
incoming beam. 
   

            argument pxB, pyB, pzB   :  
the three-momentum vector (p_x, p_y, p_z) of the second 
incoming beam. 
   

            Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


            bool Pythia::init( string LesHouchesEventFile, bool skipInit = false)   
            
initialize for hard-process collisions fed in from an external file 
with events, written according to the 
";?>Les Houches Event File 
standard. 

            argument LesHouchesEventFile   :  
the file name (including path, where required) where the 
events are stored, including relevant information on beam 
identities and energies. 
   

            argument skipInit  (default = false) :  
By default this method does a complete reinitialization of the 
generation process. If you set this argument to true then 
no reinitialization will occur, only the pointer to the event 
file is updated. This may come in handy if the full event sample 
is split across several files generated under the same conditions 
(except random numbers, of course). You then do the first 
initialization with the default, and all subsequent ones with 
true. Note that things may go wrong if the files are not created 
under the same conditions. 
   

            Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 


            bool Pythia::init( LHAup* lhaUpPtr)   
            
initialize for hard-process collisions fed in from an external 
source of events, consistent with the Les Houches Accord standard. 
The rules for constructing your own class from the LHAup 
base class are described ";?>here. 
This class is also required to provide the beam parameters. 

            argument lhaUpPtr   :  
pointer to a LHAup-derived object. This object 
must be instantiated by you in your program. 
   

            Notes: Deprecated. The method returns false if the 
initialization fails. It is then not possible to generate any 
events. 
   
 

            Generate events
             
 
The next() method is the main one to generate events. 
In this section we also put a few other specialized methods that 
may be useful in some circumstances. 
 


            bool Pythia::next()   
            
generate the next event. No input parameters are required; all 
instructions have already been set up in the initialization stage. 

            Note: The method returns false if the event generation 
fails. The event record is then not consistent and should not be 
studied. When reading in hard collisions from a Les Houches Event File 
the problem may be that the end of the file has been reached. This 
can be checked with the 
";?>Info::atEndOfFile() 
method. 
   
 


            int Pythia::forceTimeShower( int iBeg, int iEnd, double pTmax, int nBranchMax = 0)   
            
perform a final-state shower evolution on partons in the 
event event record. This could be used for externally 
provided simple events, or even parts of events, for which 
a complete generation is not foreseen. Since the mother source of 
the parton system is not known, one cannot expect as good accuracy 
as in a normal generation. When two different timelike shower 
instances are set up, it is the one used for showering in resonance 
decays that is used here. The forceTimeShower method 
can be used in conjunction with the forceHadronLevel 
one below. Further comments are found 
";?>here. 

            argument iBeg, iEnd   :  the first and last entry of the event 
record to be affected by the call. 
   

            argument pTmax   :  the maximum pT scale of emissions. 
Additionally, as always, the scale variable of each parton 
sets the maximum pT scale of branchings of this parton. 
Recall that this scale defaults to 0 if not set, so that no radiation 
can occur. 
   

            argument nBranchMax  (default = 0) :  when positive, it sets the 
maximum number of branchings that are allowed to occur in the shower, 
i.e. the shower may stop evolving before reaching the lower cutoff. 
The argument has no effect when zero or negative, i.e. then the shower 
will continue to the lower cutoff. 
   

            Note: The method returns the number of branchings that 
has been generated. 
   
 


            bool Pythia::forceHadronLevel(bool findJunctions = true)   
            
hadronize the existing event record, i.e. perform string fragmentation 
and particle decays. There are two main applications. Firstly, 
you can use the same parton-level content as a basis for repeated 
hadronization attempts, in schemes intended to save computer time. 
Secondly, you may have an external program that can simulate the full 
partonic level of the event - hard process, parton showers, multiparton 
interactions, beam remnants, colour flow, and so on - but not 
hadronization. Further details are found 
";?>here. 

            argument findJunctions  (default = true) :  
normally this routine will search through the event record and try to 
figure out if any colour junctions are present. If so, the colour 
topology of such junctions must be sorted out. In tricky cases this 
might fail, and then hadronization will not work. A user who is 
aware of this and knows the intended colour flow can set up the 
junction information (if any) in the event record, and then call 
forceHadronLevel(false) so as not to have this information 
overwritten. (If the event record contains no unhadronized partons 
then no junction search will be performed in any case.) 
   

            Note: The method returns false if the hadronization 
fails. The event record is then not consistent and should not be 
studied. 
   
 


            bool Pythia::moreDecays()   
            
perform decays of all particles in the event record that have not been 
decayed but should have been done so. This can be used e.g. for 
repeated decay attempts, in schemes intended to save computer time. 
Further details are found ";?>here. 

            Note: The method returns false if the decays fail. The 
event record is then not consistent and should not be studied. 
   
 


            bool Pythia::forceRHadronDecays()   
            
perform decays of R-hadrons that were previously considered stable. 
This could be if an R-hadron is sufficiently long-lived that 
it may interact in the detector between production and decay, so that 
its four-momentum is changed. Further details are found 
";?>here. 

            Note: The method returns false if the decays fail. The 
event record is then not consistent and should not be studied. 
   
 


            void Pythia::LHAeventList(ostream& os = cout)   
            
list the Les Houches Accord information on the current event, see 
";?>LHAup::listEvent(...). 
(Other listings are available via the class members below, so this 
listing is a special case that would not fit elsewhere.) 

            argument os  (default = cout) :  
output stream where the listing occurs. 
   
   
 


            bool Pythia::LHAeventSkip(int nSkip)   
            
skip ahead a number of events in the Les Houches generation 
sequence, without doing anything further with them, see 
";?>LHAup::skipEvent(nSkip). 
Mainly intended for debug purposes, e.g. when an event at a known 
location in a Les Houches Event File is causing problems. 

            argument nSkip   :  
number of events to skip. 
   

            Note: The method returns false if the operation fails, 
specifically if the end of a LHEF has been reached, cf. 
next() above. 
   
 

            Finalize
             
 
There is no required finalization step; you can stop generating events 
when and how you want. It is still recommended that you make it a 
routine to call the following method at the end. A second method provides 
a deprecated alternative. 
 


            void Pythia::stat()   
            
list statistics on the event generation, specifically total and partial 
cross sections and the number of different errors. For more details see 
";?>here and for available options 
";?>here. 
   
 


            void Pythia::statistics(bool all = false, bool reset = false)   
            
list statistics on the event generation, specifically total and partial 
cross sections and the number of different errors. For more details see 
";?>here. 

            argument all  (default = false) :  
if true also statistics on multiparton interactions is shown, by default not. 
   

            argument reset  (default = false) :  if true then all counters, 
e.g on events generated and errors experienced, are reset to zero 
 whenever the routine is called. The default instead is that 
all stored statistics information is unaffected by the call. Counters 
are automatically reset in each new Pythia::init(...) 
call, however, so the only time the reset option makes a 
difference is if statistics(...) is called several times 
in a (sub)run. 
   

            Note: Deprecated. 
   
 

            Interrogate settings
             
 
Normally settings are used in the setup and initialization stages 
to determine the character of a run, e.g. read from a file with the 
above-described Pythia::readFile(...) method. 
There is no strict need for a user to interact with the 
Settings database in any other way. However, as an option, 
some settings variables have been left free for the user to set in 
such a file, and then use in the main program to directly affect the 
performance of that program, see 
";?>here. A typical example would 
be the number of events to generate. For such applications the 
following shortcuts to some Settings methods may be 
convenient. 
 


            bool Pythia::flag(string key)   
            
read in a boolean variable from the Settings database. 

            argument key   :  
the name of the variable to be read. 
   
   
  


            int Pythia::mode(string key)   
            
read in an integer variable from the Settings database. 

            argument key   :  
the name of the variable to be read. 
   
   
  


            double Pythia::parm(string key)   
            
read in a double-precision variable from the Settings 
database. 

            argument key   :  
the name of the variable to be read. 
   
   
  


            string Pythia::word(string key)   
            
read in a string variable from the Settings database. 

            argument key   :  
the name of the variable to be read. 
   
   
   

            Get a PDF set
             
 
Pythia contains an number of parton density sets 
internally, plus an interface to LHAPDF. With the method below, 
this machinery is also made available for external usage. 
  


            PDF* getPDFPtr(int id, int sequence = 1)   
            
get a pointer to a PDF object. Which PDF is returned depends on the 
";?>PDF Selection settings. 

            argument id   :  
the identity code of the incoming particle. 
   

            argument sequence   :  
should normally be 1, but 2 can be used for protons to let the PDF 
selection be determined by the special settings for hard processes 
(PDF:useHard etc.). 
   
   
   

            Data members
             
 
The Pythia class contains a few public data members, 
several of which play a central role. We list them here, with 
links to the places where they are further described. 
  


            Event Pythia::process   
            
the hard-process event record, see ";?>here 
for further details. 
   
  


            Event Pythia::event   
            
the complete event record, see ";?>here 
for further details. 
   
  


            Info Pythia::info   
            
further information on the event-generation process, see 
";?>here for further details. 
   
  


            Settings Pythia::settings   
            
the settings database, see ";?>here 
for further details. 
   
  


            ParticleData Pythia::particleData   
            
the particle properties and decay tables database, see 
";?>here for further details. 
   
  


            Rndm Pythia::rndm   
            
the random number generator, see ";?>here 
and ";?>here for further details. 
   
  


            CoupSM Pythia::coupSM   
            
Standard Model couplings and mixing matrices, see 
";?>here for further details. 
   
  


            SusyLesHouches Pythia::slha   
            
parameters and particle data in the context of supersymmetric models, 
see ";?>here for further details. 
   
  


            PartonSystems Pythia::partonSystems   
            
a grouping of the partons in the event record by subsystem, 
see ";?>here for further details. 
   
    


 
 
pythia8-8.1.86.orig/phpdoc/OniaProcesses.php0000644000175000017500000012007012357553536017120 0ustar  sunsun

Onia Processes






SETTINGS SAVED TO FILE

            "; }
else {
echo "NO FILE SELECTED YET.. PLEASE DO SO HERE

            "; }
}
?>


 

            Onia Processes
             
 
Production of any 3S1, 3PJ, and 3DJ charmonium
and bottomonium states via the colour-singlet and colour-octet
mechanisms. This includes by default, but is not limited to, production of
the 3S1 J/psi and Upsilon and their
radially excited states, as well as the 3PJ chi
states and the 3D1 psi(3770). In each process the
heavy quark content, either ccbar or bbbar, is
followed by a round-bracketed expression which specifies the physical
state in spectroscopic notation, (2S+1) L J. Proceding this
is a square-bracketed expression, also in spectroscopic notation,
which specifies the Fock state through which the process occurs,
where (1) indicates a colour-singlet state and (8) a
colour-octet state.


             The unphysical colour-octet states follow the id
scheme of 99 n_q n_s n_r n_L n_J where n_q is the
quark flavour of the state and n_s is the colour-octet state
type. Here 0 is 3S1, 1 is 1S0,
and 2 is 3PJ. All remaining numbers follow the
standard PDG numbering scheme. If a physical state is requested
without a corresponding colour-octet state, a colour-octet state is
automatically added to the ParticleData
when a colour-octet process is selected. The colour-octet state is
created with a mass given by the mass of the physical state plus the
singlet-octet mass splitting parameter Onia:massSplit,
which is by default set at 200 MeV, and decays exclusively
to a gluon and the physical state. If the user wishes to manually
set the mass splitting for each colour-octet state individually
then Onia:forceMassSplit can be set to off.
By default the widths of the octet states are set to vanish. 
This is not realistic, given their presumably rather rapid decay,
but a nonvanishing width is not likely to have any measurable 
consequences that go beyond what comes from viewing the singlet-octet
mass splitting as an effective parameter.


             
The original Fortran code for these processes has been contributed 
by Stefan Wolf [unpublished]. For the C++ version only the unpolarized 
expressions are retained, since the theoretical predictions of the 
colour-octet model anyway do not agree with the experimental 
observations. Furthermore, the polarization effects are modest, 
so isotropic decay is not a bad starting point. Such an event sample 
can afterwards be reweighted at will by the user, to test various 
assumptions. The expressions for the colour-singlet production of
the 3S1 and 3PJ states can be found
in [Bai83] and [Gas87]. Colour-octet expressions can
be found in [Cho96] for the 1S0, 3S1,
and 3PJ states, and the matrix elements for the 3DJ
states are taken from [Yua98]. 
 

            
The implementation of charmonium and bottomonium production, including
the colour-octet production mechanism, requires information on
long-distance NRQCD matrix elements for the various wavefunctions
involved. Default values for these are encoded in the O
parameters and are taken from [Nas00]; see
also [Bar07]. The 3DJ long-distance matrix elements
are extracted from [Yua98].


            
Note that states that differ only by the radial excitation number 
n_r share the same short-dinstence matrix elements. The
program has therefore been written such that further radial excitations
can be easily added by editing this file, without requiring a recompilation 
of the code. All related arrays must be expanded in exactly the same way,
however, i.e. the code of the colour singlet state, the long-distance
matrix elements and the individual process on/off switches. 


             
The description of 
";?>final-state radiation 
is in this case based on some further model assumptions. 
 

             
Most of the processes below are divergent in the limit pT → 0, 
and therefore a pTmin scale should be set. Comparisons with 
data indicate that this divergence can be tamed the same way as for 
the normal QCD 2 → 2 cross sections [Bar07,Kra08], 
which makes sense, since they are all dominated by the same kind of 
t-channel gluon exchange. It is therefore possible to use the 
";?>SuppressSmallPT user hook to impose a 
reweighting that cancels the low-pT divergence. 
 

             
An eikonalized description of these processes is included in the 
multiparton-interactions framework. Here the low-pT dampening 
is automatic, and additionally the framework is more consistent 
(e.g. with respect to energy-momentum constraints and the 
impact-parameter description) for events where the onium production 
is not the hardest subprocess, as would often be the case in the 
low-pT limit. 



            Onia:forceMassSplit  On
Off
   (default = on)
            
Force the mass splitting between the colour-singlet states and their
corresponding colour-octet state to be Onia:massSplit.
   



            Onia:massSplit      (default = 0.2; minimum = 0.0; maximum = 1.0)
            
Mass splitting in GeV between the physical colour-singlet
states and their corresponding colour-octet state.
   



            Onia:all  On
Off
   (default = off)
            
Common switch for the group of onia production. 
   


            Onia:all(3S1)  On
Off
   (default = off)
            
Common switch for the group of 3S1 onia production,
e.g. J/psi and Upsilon.
   


            Onia:all(3PJ)  On
Off
   (default = off)
            
Common switch for the group of 3PJ onia production,
e.g. chi_c and chi_b.
   


            Onia:all(3DJ)  On
Off
   (default = off)
            
Common switch for the group of 3DJ onia production,
e.g. psi(3770).
   


            Charmonium:all  On
Off
   (default = off)
            
Common switch for the group of charmonium production,
e.g. J/psi and chi_c.
   


            Bottomonium:all  On
Off
   (default = off)
            
Common switch for the group of bottomonium production,
e.g. Upsilon and chi_b.
   


            Charmonium 3S1 States
             



            Charmonium:states(3S1)       (default = 443,100443; minimum = 0)
            
The 3S1 charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  



            Charmonium:O(3S1)[3S1(1)]      (default = 1.16,0.76; minimum = 0.0)
            
The colour-singlet long-distance matrix
elements <O[3S1(1)]> for the 3S1 charmonium states.
  



            Charmonium:O(3S1)[3S1(8)]      (default = 0.0119,0.0050; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[3S1(8)]> for the 3S1 charmonium states.
   
 


            Charmonium:O(3S1)[1S0(8)]      (default = 0.01,0.004; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[1S0(8)]> for the 3S1
charmonium states.
  
 


            Charmonium:O(3S1)[3P0(8)]      (default = 0.01,0.004; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3S1 charmonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  
 


            Charmonium:gg2ccbar(3S1)[3S1(1)]g       (default = off,off)
            
Colour-singlet production of 3S1 charmonium states via 
g g → ccbar[3S1(1)] g.
Code 401. 
  



            Charmonium:gg2ccbar(3S1)[3S1(8)]g       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
g g → ccbar[3S1(8)] g.
Code 402.
   



            Charmonium:qg2ccbar(3S1)[3S1(8)]q       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
q g → ccbar[3S1(8)] q. 
Code 403.
   
 


            Charmonium:qqbar2ccbar(3S1)[3S1(8)]g       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[3S1(8)] g. 
Code 404.
   



            Charmonium:gg2ccbar(3S1)[1S0(8)]g       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
g g → ccbar[1S0(8)] g. 
Code 405.
   
 


            Charmonium:qg2ccbar(3S1)[1S0(8)]q       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
q g → ccbar[1S0(8)] q.
Code 406.
   
 


            Charmonium:qqbar2ccbar(3S1)[1S0(8)]g       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[1S0(8)] g. 
Code 407.
   
 


            Charmonium:gg2ccbar(3S1)[3PJ(8)]g       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
g g → ccbar[3PJ(8)] g. 
Code 408.
   
 


            Charmonium:qg2ccbar(3S1)[3PJ(8)]q       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
q g → ccbar[3PJ(8)] q. 
Code 409.
   
  


            Charmonium:qqbar2ccbar(3S1)[3PJ(8)]g       (default = off,off)
            
Colour-octet production of 3S1 charmonium states via
q qbar → ccbar[3SJ(8)] g. 
Code 410.
   


            Charmonium 3PJ States
             



            Charmonium:states(3PJ)       (default = 10441,20443,445)
            
The 3PJ charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  



            Charmonium:O(3PJ)[3P0(1)]      (default = 0.05,0.05,0.05; minimum = 0.0)
            
The color-singlet long-distance matrix elements 
<O[3P0(1)]>/m_Q^2 for the 3PJ charmonium
states. The remaining <O[3PJ(1)]>/m_Q^2
are calculated from these long-distance matrix elements.
  



            Charmonium:O(3PJ)[3S1(8)]      (default = 0.0031,0.0031,0.0031; minimum = 0.0)
            
The color-singlet long-distance matrix elements 
<O[3S1(8)]> for the 3PJ charmonium states.
  



            Charmonium:gg2ccbar(3PJ)[3PJ(1)]g       (default = off,off,off)
            
Colour-singlet production of 3PJ charmonium states via
g g → ccbar[3PJ(1)] g. 
Code 411.
   



            Charmonium:qg2ccbar(3PJ)[3PJ(1)]q       (default = off,off,off)
            
Colour-singlet production of 3PJ charmonium states via
q g → ccbar[3PJ(1)] q. 
Code 412.
   



            Charmonium:qqbar2ccbar(3PJ)[3PJ(1)]g       (default = off,off,off)
            
Colour-singlet production of 3PJ charmonium states via
q qbar → ccbar[3PJ(1)] g. 
Code 413.
  



            Charmonium:gg2ccbar(3PJ)[3S1(8)]g       (default = off,off,off)
            
Colour-octet production of 3PJ charmonium states via
g g → ccbar[3S1(8)] g. 
Code 414.
   



            Charmonium:qg2ccbar(3PJ)[3S1(8)]q       (default = off,off,off)
            
Colour-octet production of 3PJ charmonium states via
q g → ccbar[3S1(8)] q. 
Code 415.
   



            Charmonium:qqbar2ccbar(3PJ)[3S1(8)]g       (default = off,off,off)
            
Colour-octet production of 3PJ charmonium states via
q qbar → ccbar[3S1(8)] g. 
Code 416.
  


            Charmonium 3DJ States
             



            Charmonium:states(3DJ)       (default = 30443)
            
The 3DJ charmonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  



            Charmonium:O(3DJ)[3D1(1)]      (default = 0.161; minimum = 0.0)
            
The color-singlet long-distance matrix elements 
<O[3D1(1)]> for the 3PJ charmonium
states. For a 3DJ charmonium state where J is
not 1 the long distance matrix
element <O[3DJ(1)]> is calculated
by (2J+1)<O[3D1(1)]/3> using leading order spin symmetry
relations.
  



            Charmonium:O(3DJ)[3P0(8)]      (default = 0.01; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3DJ charmonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  



            Charmonium:gg2ccbar(3DJ)[3DJ(1)]g       (default = off)
            
Colour-singlet production of 3PJ charmonium states via
g g → ccbar[3DJ(1)] g. 
Code 417.
   



            Charmonium:gg2ccbar(3DJ)[3PJ(8)]g       (default = off)
            
Colour-octet production of 3DJ charmonium states via
g g → ccbar[3PJ(8)] g. 
Code 418.
   
 


            Charmonium:qg2ccbar(3DJ)[3PJ(8)]q       (default = off)
            
Colour-octet production of 3DJ charmonium states via
q g → ccbar[3PJ(8)] q. 
Code 419.
   
  


            Charmonium:qqbar2ccbar(3DJ)[3PJ(8)]g       (default = off)
            
Colour-octet production of 3DJ charmonium states via
q qbar → ccbar[3PJ(8)] g. 
Code 420.
  


            Bottomonium 3S1 States
             



            Bottomonium:states(3S1)       (default = 553,100553,200553; minimum = 0)
            
The 3S1 bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  



            Bottomonium:O(3S1)[3S1(1)]      (default = 9.28,4.63,3.54; minimum = 0.0)
            
The colour-singlet long-distance matrix
elements <O[3S1(1)]> for the 3S1 bottomonium states.
  



            Bottomonium:O(3S1)[3S1(8)]      (default = 0.15,0.045,0.075; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[3S1(8)]> for the 3S1 bottomonium states.
   
 


            Bottomonium:O(3S1)[1S0(8)]      (default = 0.02,0.06,0.1; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[1S0(8)]> for the 3S1
bottomonium states.
  
 


            Bottomonium:O(3S1)[3P0(8)]      (default = 0.02,0.06,0.1; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3S1 bottomonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  
 


            Bottomonium:gg2bbbar(3S1)[3S1(1)]g       (default = off,off,off)
            
Colour-singlet production of 3S1 bottomonium states via 
g g → bbbar[3S1(1)] g.
Code 501. 
  



            Bottomonium:gg2bbbar(3S1)[3S1(8)]g       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
g g → bbbar[3S1(8)] g.
Code 502.
   



            Bottomonium:qg2bbbar(3S1)[3S1(8)]q       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
q g → bbbar[3S1(8)] q. 
Code 503.
   
 


            Bottomonium:qqbar2bbbar(3S1)[3S1(8)]g       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[3S1(8)] g. 
Code 504.
   



            Bottomonium:gg2bbbar(3S1)[1S0(8)]g       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
g g → bbbar[1S0(8)] g. 
Code 505.
   
 


            Bottomonium:qg2bbbar(3S1)[1S0(8)]q       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
q g → bbbar[1S0(8)] q.
Code 506.
   
 


            Bottomonium:qqbar2bbbar(3S1)[1S0(8)]g       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[1S0(8)] g. 
Code 507.
   
 


            Bottomonium:gg2bbbar(3S1)[3PJ(8)]g       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
g g → bbbar[3PJ(8)] g. 
Code 508.
   
 


            Bottomonium:qg2bbbar(3S1)[3PJ(8)]q       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
q g → bbbar[3PJ(8)] q. 
Code 509.
   
  


            Bottomonium:qqbar2bbbar(3S1)[3PJ(8)]g       (default = off,off,off)
            
Colour-octet production of 3S1 bottomonium states via
q qbar → bbbar[3SJ(8)] g. 
Code 510.
   


            Bottomonium 3PJ States
             



            Bottomonium:states(3PJ)       (default = 10551,20553,555)
            
The 3PJ bottomonium states that can be produced from the following
processes. Note that all vectors within this section,
either of flags or parameters, must be the same length as this
vector.
  



            Bottomonium:O(3PJ)[3P0(1)]      (default = 0.085,0.085,0.085; minimum = 0.0)
            
The color-singlet long-distance matrix elements 
<O[3P0(1)]>/m_Q^2 for the 3PJ bottomonium
states. The remaining <O[3PJ(1)]>/m_Q^2
are calculated from these long-distance matrix elements.
  



            Bottomonium:O(3PJ)[3S1(8)]      (default = 0.04,0.04,0.04; minimum = 0.0)
            
The color-singlet long-distance matrix elements 
<O[3S1(8)]> for the 3PJ bottomonium states.
  



            Bottomonium:gg2bbbar(3PJ)[3PJ(1)]g       (default = off,off,off)
            
Colour-singlet production of 3PJ bottomonium states via
g g → bbbar[3PJ(1)] g. 
Code 511.
   



            Bottomonium:qg2bbbar(3PJ)[3PJ(1)]q       (default = off,off,off)
            
Colour-singlet production of 3PJ bottomonium states via
q g → bbbar[3PJ(1)] q. 
Code 512.
   



            Bottomonium:qqbar2bbbar(3PJ)[3PJ(1)]g       (default = off,off,off)
            
Colour-singlet production of 3PJ bottomonium states via
q qbar → bbbar[3PJ(1)] g. 
Code 513.
  



            Bottomonium:gg2bbbar(3PJ)[3S1(8)]g       (default = off,off,off)
            
Colour-octet production of 3PJ bottomonium states via
g g → bbbar[3S1(8)] g. 
Code 514.
   



            Bottomonium:qg2bbbar(3PJ)[3S1(8)]q       (default = off,off,off)
            
Colour-octet production of 3PJ bottomonium states via
q g → bbbar[3S1(8)] q. 
Code 515.
   



            Bottomonium:qqbar2bbbar(3PJ)[3S1(8)]g       (default = off,off,off)
            
Colour-octet production of 3PJ bottomonium states via
q qbar → bbbar[3S1(8)] g. 
Code 516.
  


            Bottomonium 3DJ States
             



            Bottomonium:states(3DJ)    
            
The 3DJ bottomonium states that can be produced from the following
processes. Currently, no 3DJ states are included in the
default ParticleData and so none are included here. Note
that all vectors within this section, either of flags or parameters,
must be the same length as this vector.
  



            Bottomonium:O(3DJ)[3D1(1)]      (; minimum = 0.0)
            
The color-singlet long-distance matrix elements 
<O[3D1(1)]> for the 3PJ bottomonium
states. For a 3DJ bottomonium state where J is
not 1 the long distance matrix
element <O[3DJ(1)]> is calculated
by (2J+1)<O[3D1(1)]/3> using leading order spin symmetry
relations.
  



            Bottomonium:O(3DJ)[3P0(8)]      (; minimum = 0.0)
            
The colour-octet long-distance matrix
elements <O[3P0(8)]>/m_Q^2 for the 3DJ bottomonium
states. The remaining <O[3PJ(8)]>/m_Q^2
are calculated from these long-distance matrix elements.
  



            Bottomonium:gg2bbbar(3DJ)[3DJ(1)]g    
            
Colour-singlet production of 3PJ bottomonium states via
g g → bbbar[3DJ(1)] g. 
Code 517.
   



            Bottomonium:gg2bbbar(3DJ)[3PJ(8)]g    
            
Colour-octet production of 3DJ bottomonium states via
g g → bbbar[3PJ(8)] g. 
Code 518.
   
 


            Bottomonium:qg2bbbar(3DJ)[3PJ(8)]q    
            
Colour-octet production of 3DJ bottomonium states via
q g → bbbar[3PJ(8)] q. 
Code 519.
   
  


            Bottomonium:qqbar2bbbar(3DJ)[3PJ(8)]g    
            
Colour-octet production of 3DJ bottomonium states via
q qbar → bbbar[3PJ(8)] g. 
Code 520.
  



"?>


            

            




 
 
 
pythia8-8.1.86.orig/pythia8tohepmc/0000755000175000017500000000000012357054757015324 5ustar  sunsunpythia8-8.1.86.orig/pythia8tohepmc/Pythia8ToHepMC.cc0000644000175000017500000001763612357054757020356 0ustar  sunsun// Pythia8ToHepMC.cc is a part of the PYTHIA event generator.
// Copyright (C) 2014 Torbjorn Sjostrand.
// PYTHIA is licenced under the GNU GPL version 2, see COPYING for details.
// Please respect the MCnet Guidelines, see GUIDELINES for details.

// Author: Mikhail Kirsanov, Mikhail.Kirsanov@cern.ch
// Function definitions (not found in the header) for the Pythia8ToHepMC class,
// which converts a PYTHIA event record to the standard HepMC format.

#include "Pythia8/Pythia8ToHepMC.h"
#include "HepMC/GenEvent.h"

namespace HepMC {

//==========================================================================

// Main method for conversion from PYTHIA event to HepMC event.
// Read one event from Pythia8 and fill GenEvent,
// and return T/F = success/failure.

bool Pythia8ToHepMC::fill_next_event( Pythia8::Event& pyev, GenEvent* evt,
  int ievnum, Pythia8::Info* pyinfo, Pythia8::Settings* pyset) {

  // 1. Error if no event passed.
  if (!evt) {
    std::cerr << "Pythia8ToHepMC::fill_next_event error - passed null event."
              << std::endl;
    return 0;
  }

  // Event number counter.
  if ( ievnum >= 0 ) {
    evt->set_event_number(ievnum);
    m_internal_event_number = ievnum;
  } else {
    evt->set_event_number(m_internal_event_number);
    ++m_internal_event_number;
  }

  // Conversion factors from Pythia units GeV and mm to HepMC ones.
  double momFac = HepMC::Units::conversion_factor(HepMC::Units::GEV,
    evt->momentum_unit());
  double lenFac = HepMC::Units::conversion_factor(HepMC::Units::MM,
    evt->length_unit());
    
  // 2. Create a particle instance for each entry and fill a map, and
  // a vector which maps from the particle index to the GenParticle address.
  std::vector hepevt_particles( pyev.size() );
  for (int i = 1; i < pyev.size(); ++i) {

    // Fill the particle.
    hepevt_particles[i] = new GenParticle(
      FourVector( momFac * pyev[i].px(), momFac * pyev[i].py(),
                  momFac * pyev[i].pz(), momFac * pyev[i].e()  ),
      pyev[i].id(), pyev.statusHepMC(i) );
    hepevt_particles[i]->suggest_barcode(i);
    hepevt_particles[i]->set_generated_mass( momFac * pyev[i].m() );

    // Colour flow uses index 1 and 2.
    int colType = pyev[i].colType();
    if (colType ==  1 || colType == 2)
      hepevt_particles[i]->set_flow(1, pyev[i].col());
    if (colType == -1 || colType == 2)
      hepevt_particles[i]->set_flow(2, pyev[i].acol());
  }

  // Here we assume that the first two particles in the list
  // are the incoming beam particles.
  evt->set_beam_particles( hepevt_particles[1], hepevt_particles[2] );
 
  // 3. Loop over particles AGAIN, this time creating vertices.
  // We build the production vertex for each entry in hepevt.
  // The HEPEVT pointers are bi-directional, so gives decay vertices as well.
  for (int i = 1; i < pyev.size(); ++i) {
    GenParticle *p = hepevt_particles[i];

    // 3a. Search to see if a production vertex already exists.
    std::vector mothers = pyev.motherList(i);
    unsigned int imother = 0;
    int mother = -1; // note that in Pythia8 there is a particle number 0!
    if ( !mothers.empty() ) mother = mothers[imother];
    GenVertex* prod_vtx = p->production_vertex();
    while ( !prod_vtx && mother > 0 ) {
      prod_vtx = hepevt_particles[mother]->end_vertex();
      if ( prod_vtx ) prod_vtx->add_particle_out( p );
      mother = ( ++imother < mothers.size() ) ? mothers[imother] : -1;
    }

    // 3b. If no suitable production vertex exists - and the particle has
    // at least one mother or position information to store - make one.
    FourVector prod_pos( lenFac * pyev[i].xProd(), lenFac * pyev[i].yProd(),
                         lenFac * pyev[i].zProd(), lenFac * pyev[i].tProd() );
    if ( !prod_vtx && ( mothers.size() > 0 || prod_pos != FourVector() ) ) {
      prod_vtx = new GenVertex();
      prod_vtx->add_particle_out( p );
      evt->add_vertex( prod_vtx );
    }

    // 3c. If prod_vtx doesn't already have position specified, fill it.
    if ( prod_vtx && prod_vtx->position() == FourVector() )
      prod_vtx->set_position( prod_pos );

    // 3d. loop over mothers to make sure their end_vertices are consistent.
    imother = 0;
    mother = -1;
    if ( !mothers.empty() ) mother = mothers[imother];
    while ( prod_vtx && mother > 0 ) {

      // If end vertex of the mother isn't specified, do it now.
      if ( !hepevt_particles[mother]->end_vertex() ) {
        prod_vtx->add_particle_in( hepevt_particles[mother] );

      // Problem scenario: the mother already has a decay vertex which
      // differs from the daughter's production vertex. This means there is
      // internal inconsistency in the HEPEVT event record. Print an error.
      // Note: we could provide a fix by joining the two vertices with a
      // dummy particle if the problem arises often.
      } else if (hepevt_particles[mother]->end_vertex() != prod_vtx ) {
       if ( m_print_inconsistency ) std::cerr
          << "HepMC::Pythia8ToHepMC: inconsistent mother/daugher "
          << "information in Pythia8 event " << std::endl
          << "i = " << i << " mother = " << mother
          << "\n This warning can be turned off with the "
          << "Pythia8ToHepMC::print_inconsistency switch." << std::endl;
      }

      // End of vertex-setting loops.
      mother = ( ++imother < mothers.size() ) ? mothers[imother] : -1;
    }
  }

  // If hadronization switched on then no final coloured particles.
  bool doHadr = (pyset == 0) ? m_free_parton_warnings
    : pyset->flag("HadronLevel:all") && pyset->flag("HadronLevel:Hadronize");

  // 4. Check for particles which come from nowhere, i.e. are without
  // mothers or daughters. These need to be attached to a vertex, or else
  // they will never become part of the event.
  for (int i = 1; i < pyev.size(); ++i) {
    if ( !hepevt_particles[i]->end_vertex() &&
         !hepevt_particles[i]->production_vertex() ) {
      std::cerr << "hanging particle " << i << std::endl;
      GenVertex* prod_vtx = new GenVertex();
      prod_vtx->add_particle_out( hepevt_particles[i] );
      evt->add_vertex( prod_vtx );
    }

    // Also check for free partons (= gluons and quarks; not diquarks?).
    if ( doHadr && m_free_parton_warnings ) {
      if ( hepevt_particles[i]->pdg_id() == 21 &&
        !hepevt_particles[i]->end_vertex() ) {
        std::cerr << "gluon without end vertex " << i << std::endl;
        if ( m_crash_on_problem ) exit(1);
      }
      if ( abs(hepevt_particles[i]->pdg_id()) <= 6 &&
        !hepevt_particles[i]->end_vertex()         ) {
        std::cerr << "quark without end vertex " << i << std::endl;
        if ( m_crash_on_problem ) exit(1);
      }
    }
  }

  // 5. Store PDF, weight, cross section and other event information.
  // Flavours of incoming partons.
  if (m_store_pdf && pyinfo != 0) {
    int id1pdf = pyinfo->id1pdf();
    int id2pdf = pyinfo->id2pdf();
    if ( m_convert_gluon_to_0 ) {
      if (id1pdf == 21) id1pdf = 0;
      if (id2pdf == 21) id2pdf = 0;
    }

    // Store PDF information.
    evt->set_pdf_info( PdfInfo( id1pdf, id2pdf, pyinfo->x1pdf(),
      pyinfo->x2pdf(), pyinfo->QFac(), pyinfo->pdf1(), pyinfo->pdf2() ) );
  }

  // Store process code, scale, alpha_em, alpha_s.
  if (m_store_proc && pyinfo != 0) {
    evt->set_signal_process_id( pyinfo->code() );
    evt->set_event_scale( pyinfo->QRen() );
    if (evt->alphaQED() <= 0) evt->set_alphaQED( pyinfo->alphaEM() );
    if (evt->alphaQCD() <= 0) evt->set_alphaQCD( pyinfo->alphaS() );
  }

  // Store cross-section information in pb and event weight. The latter is
  // usually dimensionless, but in units of pb for Les Houches strategies +-4.
  if (m_store_xsec && pyinfo != 0) {
    HepMC::GenCrossSection xsec;
    xsec.set_cross_section( pyinfo->sigmaGen() * 1e9,
      pyinfo->sigmaErr() * 1e9);
    evt->set_cross_section(xsec);
    evt->weights().push_back( pyinfo->weight() );
  }

  // Done.
  return true;

}

//==========================================================================

} // end namespace HepMC
pythia8-8.1.86.orig/README.Win320000644000175000017500000000252612357054757014144 0ustar  sunsun====================================
   INSTRUCTIONS FOR WINDOWS USERS
====================================

I)   How to build
II)  How to clean
III) Further notes

Note: this is a first version, and does not (yet) have
the full functionality offered for the Linux case.


I) How to build
===============

To build Pythia8 on windows, open a command prompt, 
cd to the location where Pythia has been extracted, 
then type nmake with any of these options :

to build in debug mode :

   nmake -f Makefile.msc CFG="Win32 Debug"

in optimized mode :

   nmake -f Makefile.msc CFG="Win32 Release"

libPythia8.lib will be located in $PYTHIADIR\lib directory


II) How to clean
================

To clean intermediate (obj) files :

   nmake -f Makefile.msc clean CFG="Win32 Debug"
or
   nmake -f Makefile.msc clean CFG="Win32 Release"

To clean all binaries (obj, idb, pdb, ilk, lib and exe) :

   nmake -f Makefile.msc distclean CFG="Win32 Debug"
or
   nmake -f Makefile.msc distclean CFG="Win32 Release"


III) Further notes
==================

Some C++ distributions do not implement the error function erf(x). 
Should you encounter such a compilation problem, the PhaseSpace.h 
and SigmaTotal.h files do contain commented-out erf(x) code, 
that then should be uncommented. The approximation used is not
of high precision, but fully sufficient for the task at hand.